INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 4032 Minimal number of generators: 673 Number of equivalence classes of cusps: 144 Genus: 265 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -11/24 -10/23 -9/22 -2/5 -8/21 -7/20 -6/19 -5/18 -1/4 -4/17 -3/16 -2/15 0/1 3/23 2/11 1/5 7/32 5/21 3/10 4/11 7/19 11/28 4/9 1/2 14/25 43/74 5/8 16/23 49/68 17/22 4/5 6/7 1/1 8/7 7/6 43/35 5/4 22/17 15/11 68/49 7/5 229/161 23/16 3/2 119/76 11/7 8/5 313/194 145/89 97/59 49/29 74/43 19/11 25/14 17/9 2/1 9/4 163/71 136/59 19/8 55/23 17/7 83/34 5/2 28/11 281/109 13/5 66/25 19/7 11/4 86/31 77/27 20/7 3/1 25/8 79/25 16/5 119/37 23/7 10/3 181/53 7/2 274/77 61/17 11/3 26/7 41/11 19/5 31/8 4/1 29/7 46/11 21/5 17/4 158/37 13/3 22/5 53/12 9/2 32/7 23/5 14/3 19/4 43/9 24/5 97/20 5/1 31/6 26/5 21/4 16/3 27/5 11/2 28/5 17/3 23/4 29/5 6/1 31/5 25/4 19/3 32/5 13/2 79/12 33/5 20/3 27/4 34/5 7/1 29/4 22/3 15/2 38/5 23/3 31/4 8/1 17/2 9/1 19/2 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/4 -10/21 0/1 1/6 -9/19 2/9 1/4 -8/17 1/3 -15/32 0/1 1/3 -7/15 0/1 1/2 -20/43 0/1 1/7 -13/28 1/5 -6/13 1/5 1/4 -17/37 2/9 1/4 -28/61 3/13 -11/24 1/4 -16/35 1/4 2/7 -5/11 1/3 -29/64 1/3 1/2 -24/53 0/1 1/2 -19/42 0/1 1/1 -14/31 0/1 1/1 -23/51 -1/6 0/1 -9/20 0/1 1/8 -22/49 1/7 -13/29 2/11 1/5 -17/38 1/5 -21/47 1/5 -4/9 2/9 1/4 -23/52 1/4 6/23 -19/43 3/11 -15/34 1/4 2/7 -11/25 2/7 1/3 -18/41 4/13 1/3 -25/57 1/3 1/2 -32/73 0/1 1/3 -7/16 1/3 -24/55 0/1 1/4 -41/94 0/1 1/1 -17/39 0/1 1/3 -44/101 1/3 -27/62 1/3 1/2 -10/23 0/1 -33/76 1/7 1/6 -23/53 1/5 -13/30 0/1 1/5 -16/37 1/5 -3/7 1/5 1/4 -17/40 3/11 2/7 -14/33 1/4 2/7 -25/59 2/9 1/4 -36/85 1/4 6/23 -47/111 5/19 4/15 -11/26 3/11 -19/45 2/7 -8/19 1/4 2/7 -29/69 2/7 3/10 -21/50 3/10 4/13 -13/31 1/3 -44/105 2/7 1/3 -31/74 3/10 1/3 -18/43 4/13 1/3 -23/55 9/28 1/3 -5/12 1/3 1/2 -22/53 0/1 1/0 -39/94 0/1 1/5 -17/41 1/3 -29/70 0/1 1/3 -12/29 0/1 1/1 -31/75 0/1 1/8 -19/46 1/5 -26/63 0/1 1/5 -33/80 0/1 1/6 -7/17 0/1 1/4 -23/56 1/3 -39/95 0/1 1/5 -16/39 0/1 1/5 -25/61 1/5 -9/22 1/4 -29/71 3/11 -20/49 1/4 2/7 -31/76 3/11 -11/27 2/7 1/3 -13/32 1/4 2/7 -15/37 2/7 1/3 -2/5 1/3 -15/38 0/1 1/3 -13/33 0/1 1/2 -11/28 0/1 1/3 -31/79 1/3 -20/51 0/1 1/4 -9/23 0/1 1/1 -16/41 0/1 1/7 -39/100 0/1 1/5 -23/59 1/5 -7/18 0/1 1/4 -19/49 1/5 -31/80 4/17 1/4 -43/111 1/4 4/15 -12/31 0/1 1/4 -41/106 1/4 -70/181 3/11 -29/75 1/4 1/3 -17/44 1/5 -22/57 7/29 1/4 -5/13 1/4 2/7 -18/47 2/7 3/10 -31/81 4/13 5/16 -44/115 7/22 1/3 -13/34 1/3 -47/123 4/13 1/3 -34/89 2/7 1/3 -55/144 11/36 4/13 -21/55 5/16 6/19 -8/21 1/3 -27/71 7/20 6/17 -19/50 5/14 4/11 -11/29 1/3 -14/37 1/3 4/11 -17/45 7/18 2/5 -3/8 0/1 1/2 -16/43 -1/1 -29/78 -1/2 0/1 -13/35 -1/5 0/1 -10/27 0/1 1/9 -27/73 1/8 1/7 -44/119 1/7 -17/46 0/1 1/6 -7/19 1/5 -39/106 3/14 2/9 -32/87 3/13 4/17 -25/68 7/29 1/4 -43/117 1/4 11/43 -18/49 1/4 2/7 -29/79 0/1 1/4 -40/109 1/5 -11/30 0/1 1/4 -15/41 1/4 -4/11 1/4 1/3 -17/47 1/3 -30/83 4/13 1/3 -13/36 6/19 1/3 -9/25 1/3 4/11 -23/64 1/3 2/5 -14/39 1/3 2/5 -19/53 1/2 2/3 -43/120 0/1 1/2 -24/67 1/2 1/1 -5/14 1/3 -16/45 4/9 1/2 -11/31 0/1 1/2 -17/48 1/2 2/3 -6/17 0/1 1/2 -13/37 1/1 -7/20 0/1 -15/43 0/1 1/4 -8/23 1/3 -1/3 0/1 1/3 -7/22 1/3 -13/41 0/1 1/2 -6/19 0/1 -17/54 0/1 1/5 -11/35 1/5 -5/16 0/1 1/4 -19/61 1/5 -14/45 2/9 1/4 -9/29 0/1 1/4 -22/71 4/17 1/4 -13/42 1/4 4/15 -4/13 1/3 -19/62 1/5 1/4 -34/111 0/1 1/4 -15/49 2/9 1/4 -11/36 2/7 1/3 -18/59 2/7 1/3 -25/82 1/3 -7/23 4/13 1/3 -10/33 1/3 6/17 -33/109 1/3 4/11 -23/76 1/3 4/11 -13/43 1/3 -3/10 1/3 1/2 -11/37 1/2 -8/27 0/1 1/2 -29/98 1/1 -21/71 0/1 1/2 -13/44 2/5 1/2 -31/105 11/23 1/2 -18/61 1/2 7/13 -41/139 1/2 4/7 -23/78 4/7 3/5 -5/17 1/1 -12/41 0/1 1/0 -31/106 -1/1 -19/65 -1/1 -1/2 -7/24 -1/3 0/1 -9/31 0/1 1/11 -20/69 0/1 1/8 -11/38 1/7 -13/45 1/6 1/5 -2/7 0/1 1/4 -11/39 2/7 7/24 -9/32 4/13 1/3 -7/25 1/3 -19/68 3/10 4/13 -50/179 1/3 -81/290 4/13 1/3 -31/111 4/13 1/3 -12/43 4/13 5/16 -5/18 1/3 -18/65 8/23 7/20 -13/47 6/17 5/14 -34/123 4/11 11/30 -55/199 7/19 -21/76 1/3 2/5 -50/181 1/3 4/11 -29/105 1/3 4/11 -8/29 1/3 -27/98 1/3 7/20 -19/69 5/14 4/11 -11/40 3/8 2/5 -3/11 2/5 1/2 -16/59 11/23 1/2 -13/48 1/2 7/13 -10/37 1/1 -27/100 0/1 1/4 -44/163 0/1 1/3 -17/63 1/3 1/2 -7/26 0/1 1/2 -32/119 1/3 -25/93 4/9 1/2 -18/67 1/2 4/7 -11/41 1/1 -4/15 0/1 1/2 -17/64 1/2 2/3 -13/49 1/1 -22/83 0/1 1/1 -9/34 -1/1 0/1 -5/19 0/1 1/5 -11/42 0/1 1/2 -6/23 0/1 1/3 -13/50 0/1 1/5 -7/27 0/1 1/4 -15/58 3/13 1/4 -8/31 0/1 1/3 -1/4 1/3 -7/29 1/3 2/5 -6/25 2/5 1/2 -5/21 1/3 2/5 -14/59 3/7 -9/38 2/5 1/2 -4/17 1/2 -15/64 1/2 2/3 -11/47 1/1 -18/77 0/1 1/2 -7/30 0/1 1/1 -17/73 0/1 1/1 -10/43 1/3 -3/13 0/1 1/2 -14/61 0/1 1/0 -11/48 0/1 1/1 -8/35 1/1 -13/57 -1/2 0/1 -18/79 -1/9 0/1 -5/22 0/1 1/5 -17/75 0/1 1/4 -29/128 1/3 -12/53 0/1 1/3 -19/84 0/1 -7/31 1/3 -16/71 0/1 1/1 -25/111 -1/4 0/1 -9/40 0/1 1/6 -2/9 1/4 1/3 -9/41 1/3 9/26 -7/32 1/3 4/11 -12/55 1/3 3/8 -17/78 1/3 2/5 -5/23 1/3 -13/60 5/14 4/11 -21/97 1/3 4/11 -50/231 1/3 4/11 -29/134 1/3 -8/37 4/11 3/8 -11/51 3/8 2/5 -14/65 1/3 -3/14 2/5 1/2 -7/33 2/5 -4/19 3/7 -17/81 4/9 5/11 -13/62 6/13 1/2 -22/105 14/29 1/2 -9/43 1/2 2/3 -5/24 2/5 1/2 -11/53 3/7 -6/29 2/5 3/7 -1/5 1/2 1/1 -5/26 1/1 -4/21 0/1 1/1 -11/58 0/1 1/0 -7/37 1/1 -3/16 0/1 -11/59 1/5 -8/43 1/4 1/3 -13/70 1/3 -5/27 0/1 1/3 -12/65 0/1 1/5 -7/38 0/1 1/2 -2/11 1/3 -9/50 0/1 1/3 -16/89 0/1 1/2 -7/39 1/4 1/3 -12/67 6/19 1/3 -5/28 1/3 4/11 -3/17 1/3 2/5 -4/23 2/5 1/2 -5/29 3/7 -6/35 6/13 1/2 -7/41 14/29 1/2 -1/6 1/2 2/3 -5/31 1/1 -4/25 1/1 -11/69 0/1 1/0 -7/44 0/1 1/1 -3/19 1/1 2/1 -5/32 -1/1 -7/45 0/1 1/0 -2/13 -1/2 0/1 -5/33 0/1 1/12 -3/20 0/1 1/5 -4/27 0/1 1/5 -5/34 0/1 1/4 -6/41 1/4 1/3 -1/7 1/3 -3/22 2/5 1/2 -5/37 3/7 1/2 -2/15 1/2 -7/53 1/2 5/9 -5/38 3/5 -3/23 1/2 2/3 -1/8 1/2 1/1 -2/17 1/1 -3/26 -1/1 0/1 -4/35 -1/6 0/1 -1/9 0/1 1/4 -2/19 0/1 1/3 -1/10 1/3 -2/21 2/5 1/2 -1/11 1/2 2/3 -1/12 0/1 1/0 0/1 0/1 1/2 1/10 0/1 1/4 1/9 2/5 1/2 1/8 1/1 3/23 0/1 2/15 0/1 1/1 1/7 0/1 1/0 3/20 0/1 1/5 2/13 1/3 3/19 0/1 1/1 1/6 1/3 1/2 5/29 3/8 2/5 4/23 3/7 7/40 0/1 1/2 3/17 2/5 1/2 8/45 1/3 2/5 5/28 3/7 2/11 1/2 3/16 1/2 2/3 7/37 1/2 6/11 4/21 3/5 2/3 1/5 1/1 6/29 1/1 1/0 5/24 0/1 1/0 9/43 1/0 4/19 -1/1 0/1 7/33 0/1 1/0 10/47 -1/1 3/14 -1/1 0/1 8/37 -1/3 13/60 -1/4 -2/9 5/23 -1/8 0/1 7/32 0/1 9/41 0/1 1/20 2/9 0/1 1/6 5/22 1/5 3/13 2/7 1/3 4/17 1/3 13/55 1/4 2/7 9/38 2/7 3/10 5/21 1/3 6/25 4/11 3/8 7/29 1/3 8/33 1/3 2/5 1/4 2/5 1/2 6/23 1/2 6/11 11/42 5/9 4/7 5/19 3/5 14/53 1/2 2/3 9/34 1/3 1/2 4/15 1/2 2/3 7/26 3/5 3/11 2/3 1/1 8/29 2/3 1/1 21/76 2/3 3/4 13/47 1/1 5/18 4/5 1/1 7/25 1/1 1/0 9/32 0/1 1/1 2/7 1/1 11/38 -2/1 1/0 9/31 0/1 1/0 7/24 0/1 1/2 26/89 0/1 1/1 19/65 1/1 12/41 -1/1 0/1 5/17 0/1 1/1 18/61 0/1 1/2 13/44 1/1 34/115 3/4 1/1 21/71 1/1 2/1 8/27 1/1 1/0 3/10 0/1 10/33 1/5 1/4 17/56 2/9 1/4 24/79 2/7 1/3 7/23 1/3 4/13 0/1 1/3 13/42 0/1 1/3 22/71 1/5 9/29 0/1 1/4 14/45 1/4 2/7 5/16 1/3 11/35 3/10 1/3 6/19 1/3 2/5 13/41 3/7 7/22 0/1 1/2 1/3 1/3 1/2 7/20 5/9 13/37 9/16 4/7 6/17 3/5 2/3 5/14 1/2 2/3 9/25 2/5 1/2 13/36 1/2 6/11 30/83 1/2 5/9 17/47 5/9 4/7 21/58 1/2 4/7 4/11 3/5 19/52 1/2 3/5 15/41 2/3 1/1 11/30 3/5 2/3 7/19 2/3 17/46 1/1 10/27 2/3 1/1 23/62 3/4 1/1 13/35 1/1 3/8 1/2 2/3 11/29 2/3 3/4 8/21 3/4 4/5 5/13 1/1 27/70 0/1 1/2 22/57 1/2 2/3 17/44 2/3 1/1 29/75 2/3 41/106 5/7 12/31 3/4 1/1 31/80 1/1 19/49 2/3 3/4 45/116 3/4 22/29 26/67 7/9 7/18 4/5 1/1 23/59 5/6 1/1 16/41 1/1 25/64 6/7 7/8 9/23 9/10 1/1 11/28 1/1 13/33 1/1 11/10 2/5 1/1 1/0 11/27 0/1 1/0 9/22 -1/2 0/1 16/39 0/1 1/3 23/56 0/1 1/2 7/17 1/1 12/29 0/1 1/1 5/12 -1/1 0/1 13/31 0/1 1/6 21/50 1/5 1/4 8/19 1/3 11/26 0/1 1/3 36/85 1/3 1/2 25/59 1/3 14/33 0/1 1/4 31/73 1/3 17/40 1/3 3/7 0/1 1/2 22/51 1/2 8/15 19/44 3/5 16/37 2/3 1/1 13/30 1/2 1/1 49/113 1/1 36/83 2/3 1/1 59/136 1/1 23/53 0/1 1/1 10/23 1/1 37/85 -2/1 1/0 27/62 -1/4 0/1 17/39 0/1 1/3 41/94 1/3 24/55 0/1 1/2 31/71 1/1 7/16 0/1 1/3 11/25 1/3 4/9 1/2 13/29 3/5 22/49 3/5 5/8 9/20 1/2 2/3 23/51 1/2 3/5 14/31 3/5 19/42 2/3 1/1 24/53 1/2 2/3 5/11 2/3 1/1 16/35 1/3 11/24 1/2 5/9 6/13 1/2 2/3 7/15 2/3 1/1 8/17 3/5 2/3 1/2 1/1 9/17 1/0 8/15 0/1 1/1 7/13 0/1 1/0 6/11 0/1 1/1 17/31 1/1 11/20 0/1 1/2 5/9 -1/1 0/1 14/25 0/1 23/41 0/1 1/11 9/16 0/1 1/5 31/55 0/1 1/2 22/39 0/1 1/3 13/23 1/3 4/7 0/1 1/2 19/33 0/1 15/26 0/1 1/3 11/19 1/3 29/50 2/5 1/2 47/81 2/5 5/12 18/31 4/9 1/2 43/74 1/2 68/117 1/2 12/23 25/43 1/2 4/7 7/12 0/1 1/2 24/41 1/2 41/70 3/5 58/99 1/2 2/3 17/29 1/2 1/1 10/17 1/3 13/22 7/15 1/2 3/5 1/2 2/3 23/38 2/3 1/1 20/33 2/3 5/7 57/94 14/19 3/4 37/61 2/3 3/4 17/28 1/1 31/51 3/4 1/1 14/23 2/3 1/1 39/64 2/3 1/1 64/105 2/3 25/41 1/1 11/18 2/3 3/4 41/67 7/9 71/116 11/14 4/5 30/49 3/4 4/5 19/31 4/5 5/6 65/106 9/11 111/181 4/5 5/6 46/75 5/6 11/13 27/44 7/8 1/1 35/57 2/3 1/1 78/127 3/4 4/5 43/70 3/4 1/1 8/13 1/1 45/73 2/3 3/4 37/60 3/4 4/5 29/47 4/5 1/1 21/34 2/3 1/1 34/55 11/14 4/5 81/131 4/5 17/21 47/76 9/11 13/21 5/6 6/7 5/8 1/1 17/27 7/6 6/5 63/100 1/1 5/4 46/73 1/1 6/5 121/192 7/6 6/5 196/311 6/5 75/119 6/5 5/4 29/46 1/1 70/111 13/11 6/5 41/65 6/5 5/4 12/19 5/4 4/3 7/11 1/1 37/58 1/1 4/3 30/47 4/3 3/2 83/130 7/5 53/83 10/7 3/2 76/119 3/2 23/36 3/2 2/1 16/25 1/1 2/1 41/64 1/1 25/39 1/1 2/1 9/14 1/1 4/3 29/45 13/9 3/2 49/76 3/2 14/9 20/31 5/3 11/17 7/4 2/1 24/37 2/1 7/3 37/57 2/1 7/3 13/20 3/1 2/3 0/1 1/0 11/16 -1/3 20/29 -1/4 0/1 49/71 -1/5 29/42 -1/5 -1/6 9/13 -1/7 0/1 16/23 0/1 23/33 0/1 1/21 7/10 0/1 1/7 33/47 0/1 1/5 26/37 1/5 71/101 0/1 1/3 45/64 0/1 1/8 19/27 1/6 1/5 50/71 1/4 1/3 81/115 0/1 1/4 31/44 1/5 74/105 1/5 2/9 43/61 1/4 12/17 0/1 1/4 29/41 0/1 1/2 46/65 1/3 63/89 1/4 1/3 17/24 0/1 1/3 5/7 1/3 28/39 3/8 2/5 23/32 3/7 4/9 18/25 7/15 1/2 49/68 1/2 80/111 1/2 29/57 31/43 1/2 11/21 13/18 1/2 2/3 47/65 0/1 1/0 34/47 1/1 89/123 0/1 1/1 55/76 -1/1 0/1 21/29 0/1 1/2 29/40 1/3 8/11 0/1 1/2 27/37 0/1 1/1 46/63 0/1 1/4 19/26 1/3 49/67 2/5 1/2 30/41 3/7 1/2 11/15 1/2 14/19 3/5 17/23 1/2 2/3 3/4 1/2 1/1 13/17 1/1 49/64 5/7 3/4 36/47 8/11 3/4 23/30 4/5 1/1 10/13 6/7 1/1 17/22 1/1 24/31 1/1 14/13 7/9 1/1 4/3 18/23 1/1 2/1 11/14 1/1 2/1 15/19 -2/1 1/0 49/62 1/1 34/43 0/1 1/0 53/67 1/1 19/24 -1/1 1/0 42/53 -1/1 0/1 23/29 0/1 27/34 0/1 1/1 4/5 1/1 13/16 4/1 1/0 9/11 0/1 1/0 23/28 1/1 14/17 -2/1 1/0 5/6 0/1 1/0 21/25 1/1 3/2 37/44 1/1 16/19 3/1 1/0 11/13 -1/1 6/7 0/1 13/15 0/1 1/2 33/38 1/3 3/8 20/23 3/7 1/2 7/8 1/1 29/33 -1/1 0/1 22/25 0/1 1/4 15/17 1/2 1/1 8/9 0/1 1/3 17/19 1/3 9/10 0/1 1/2 1/1 0/1 1/1 11/10 1/1 10/9 0/1 1/0 19/17 -1/1 9/8 -1/1 0/1 17/15 1/1 1/0 42/37 0/1 1/0 25/22 -1/2 0/1 58/51 0/1 1/8 33/29 0/1 1/3 8/7 1/1 23/20 -3/1 1/0 38/33 -3/2 -1/1 15/13 0/1 1/0 7/6 0/1 27/23 0/1 1/4 47/40 1/3 20/17 0/1 1/3 13/11 1/3 32/27 0/1 1/2 19/16 1/2 3/5 44/37 1/1 25/21 3/4 1/1 31/26 1/1 6/5 0/1 1/2 23/19 1/3 40/33 0/1 1/4 57/47 1/3 17/14 2/5 1/2 28/23 1/1 39/32 1/3 1/2 11/9 0/1 1/2 27/22 4/9 1/2 43/35 1/2 59/48 1/2 12/23 16/13 1/2 4/7 21/17 1/2 2/3 5/4 1/1 29/23 0/1 24/19 1/3 1/2 91/72 1/1 1/0 67/53 1/1 43/34 0/1 1/2 19/15 2/5 1/2 33/26 1/2 2/3 47/37 3/5 14/11 2/3 1/1 51/40 2/3 88/69 2/3 3/4 125/98 1/2 2/3 37/29 1/1 23/18 2/3 1/1 32/25 1/1 9/7 4/5 1/1 22/17 1/1 35/27 1/1 16/15 13/10 1/1 6/5 43/33 1/1 4/3 30/23 1/1 4/3 77/59 4/3 3/2 47/36 3/2 8/5 64/49 3/2 5/3 17/13 1/1 21/16 1/1 2/1 4/3 1/1 1/0 27/20 2/1 5/2 23/17 2/1 1/0 42/31 0/1 1/0 19/14 3/1 34/25 4/1 1/0 15/11 1/0 41/30 -3/1 1/0 26/19 -1/1 89/65 -1/1 0/1 63/46 -1/2 0/1 37/27 0/1 1/1 11/8 0/1 1/0 40/29 -1/1 69/50 -1/1 0/1 98/71 0/1 29/21 0/1 1/0 105/76 -1/3 0/1 181/131 0/1 76/55 0/1 1/3 123/89 0/1 1/1 47/34 1/1 65/47 0/1 1/2 18/13 2/1 1/0 61/44 5/1 43/31 11/1 1/0 68/49 1/0 93/67 -25/1 1/0 25/18 -7/1 1/0 82/59 -3/1 139/100 -8/1 1/0 57/41 -4/1 1/0 32/23 -4/1 -3/1 7/5 -1/1 52/37 0/1 1/0 45/32 -1/2 0/1 38/27 0/1 31/22 -1/1 0/1 24/17 -1/1 0/1 65/46 -1/1 41/29 0/1 1/0 17/12 -1/2 0/1 78/55 -1/1 0/1 61/43 -1/2 44/31 -1/3 115/81 -1/2 0/1 71/50 -1/1 -1/2 27/19 -1/3 -1/4 64/45 -1/6 0/1 229/161 0/1 394/277 0/1 1/14 165/116 0/1 1/4 101/71 -1/1 0/1 37/26 -1/3 47/33 -1/3 0/1 10/7 -1/5 0/1 23/16 0/1 36/25 0/1 1/23 13/9 0/1 1/9 29/20 0/1 1/6 16/11 1/5 19/13 1/4 1/3 3/2 0/1 1/2 26/17 1/2 1/1 49/32 3/5 23/15 1/2 2/3 20/13 3/5 57/37 7/11 2/3 94/61 5/8 2/3 37/24 7/11 2/3 17/11 2/3 7/10 48/31 2/3 3/4 79/51 2/3 31/20 5/7 45/29 3/4 13/17 14/9 4/5 1/1 39/25 2/3 1/1 64/41 1/1 25/16 2/3 1/1 61/39 2/3 5/7 36/23 2/3 3/4 119/76 3/4 83/53 3/4 10/13 47/30 3/4 4/5 105/67 4/5 1/1 58/37 4/5 1/1 11/7 1/1 30/19 3/4 4/5 79/50 1/1 207/131 4/5 128/81 4/5 1/1 49/31 4/5 1/1 19/12 4/5 5/6 8/5 1/1 29/18 8/7 7/6 79/49 7/6 6/5 50/31 1/1 121/75 7/6 6/5 313/194 6/5 192/119 6/5 5/4 71/44 1/1 6/5 21/13 6/5 5/4 97/60 5/4 4/3 76/47 9/7 131/81 17/13 4/3 186/115 45/34 4/3 55/34 4/3 11/8 144/89 4/3 3/2 89/55 7/5 34/21 1/1 2/1 81/50 1/1 4/3 47/29 1/1 4/3 60/37 4/3 3/2 13/8 1/1 70/43 1/1 3/2 127/78 4/3 3/2 57/35 1/1 2/1 101/62 3/4 1/1 145/89 1/1 44/27 1/1 7/6 119/73 1/1 194/119 6/5 5/4 75/46 11/9 5/4 181/111 5/4 4/3 106/65 9/7 31/19 5/4 4/3 80/49 1/1 129/79 4/3 49/30 4/3 3/2 116/71 4/3 11/8 67/41 7/5 18/11 3/2 2/1 41/25 1/1 105/64 2/1 64/39 1/1 2/1 23/14 1/1 2/1 97/59 1/1 74/45 1/1 4/3 51/31 1/1 3/2 79/48 3/2 2/1 28/17 1/1 61/37 3/2 2/1 33/20 5/3 2/1 38/23 1/1 2/1 5/3 2/1 1/0 27/16 11/1 1/0 49/29 1/0 71/42 -25/1 1/0 22/13 -7/1 1/0 39/23 -4/1 -3/1 17/10 -1/1 46/27 0/1 1/2 121/71 1/1 196/115 0/1 1/0 75/44 0/1 1/1 29/17 1/1 1/0 12/7 0/1 1/0 55/32 1/1 43/25 4/1 1/0 74/43 1/0 105/61 -12/1 1/0 31/18 -4/1 1/0 81/47 -5/2 -2/1 131/76 -3/1 181/105 -2/1 50/29 -2/1 1/0 169/98 -1/1 119/69 -3/1 1/0 69/40 -2/1 -3/2 19/11 -1/1 45/26 -1/1 -1/2 71/41 0/1 1/0 97/56 -1/1 123/71 -1/2 0/1 26/15 -1/1 0/1 7/4 0/1 1/0 30/17 -2/1 1/0 53/30 -1/2 0/1 23/13 -1/1 39/22 -1/1 0/1 16/9 -1/3 0/1 25/14 0/1 34/19 0/1 1/9 9/5 0/1 1/3 29/16 1/1 20/11 0/1 1/0 11/6 0/1 1/1 24/13 0/1 1/3 13/7 0/1 1/2 41/22 1/1 28/15 3/7 1/2 15/8 0/1 1/1 32/17 0/1 1/2 17/9 1/2 19/10 1/2 2/3 2/1 1/1 15/7 1/1 2/1 13/6 2/1 1/0 37/17 1/1 24/11 5/1 1/0 35/16 -1/1 11/5 1/1 2/1 31/14 3/1 82/37 2/1 3/1 215/97 3/1 133/60 3/1 4/1 51/23 3/1 1/0 71/32 3/1 4/1 20/9 2/1 1/0 9/4 1/0 34/15 -2/1 1/0 93/41 -2/1 -5/3 59/26 -3/2 -1/1 84/37 -3/1 1/0 109/48 -2/1 1/0 134/59 -2/1 -1/1 25/11 -1/1 66/29 -1/1 0/1 107/47 0/1 1/1 41/18 0/1 1/0 16/7 -1/1 0/1 71/31 1/1 126/55 -1/1 0/1 55/24 0/1 1/0 149/65 -2/1 1/0 94/41 -1/1 39/17 -1/1 0/1 101/44 -1/8 0/1 163/71 0/1 225/98 0/1 1/20 62/27 0/1 1/6 85/37 2/5 1/2 108/47 0/1 1/2 23/10 1/1 76/33 0/1 1/2 53/23 0/1 1/1 136/59 1/1 83/36 1/1 2/1 30/13 1/1 1/0 37/16 1/1 2/1 44/19 3/1 95/41 4/1 1/0 51/22 8/1 1/0 58/25 -8/1 1/0 7/3 0/1 1/0 47/20 -2/1 -3/2 40/17 -1/1 33/14 -1/2 0/1 92/39 0/1 1/1 59/25 -1/1 26/11 -1/1 0/1 45/19 -1/1 0/1 154/65 -1/3 263/111 -1/1 0/1 109/46 -1/2 0/1 64/27 0/1 83/35 0/1 1/0 19/8 -1/1 69/29 -1/2 0/1 50/21 -1/2 -1/3 81/34 -1/3 0/1 274/115 -1/4 0/1 467/196 0/1 193/81 -1/2 0/1 112/47 -1/3 31/13 -1/4 0/1 43/18 -1/11 0/1 55/23 0/1 67/28 0/1 1/17 12/5 0/1 1/3 41/17 0/1 1/2 70/29 1/1 29/12 0/1 1/1 104/43 1/1 75/31 0/1 1/0 46/19 0/1 17/7 1/1 73/30 -1/1 0/1 129/53 0/1 56/23 0/1 1/0 95/39 -1/1 0/1 39/16 -1/1 0/1 61/25 -1/6 0/1 83/34 0/1 105/43 0/1 1/14 22/9 0/1 1/4 49/20 1/3 27/11 0/1 1/2 86/35 1/2 1/1 59/24 1/2 2/3 32/13 1/3 5/2 1/2 1/1 28/11 1/1 51/20 1/1 19/18 23/9 1/1 9/8 87/34 15/13 7/6 64/25 7/6 6/5 41/16 1/1 59/23 1/1 5/4 18/7 1/1 4/3 67/26 7/5 116/45 22/15 3/2 281/109 3/2 446/173 3/2 74/49 165/64 3/2 26/17 49/19 3/2 2/1 80/31 1/1 31/12 1/1 3/2 75/29 2/1 119/46 1/1 44/17 1/1 2/1 57/22 2/1 1/0 13/5 1/1 34/13 5/4 4/3 89/34 1/1 144/55 1/1 3/2 199/76 1/1 2/1 254/97 1/1 55/21 1/1 4/3 131/50 1/1 4/3 207/79 4/3 76/29 1/1 21/8 4/3 3/2 50/19 5/3 79/30 7/4 2/1 29/11 3/2 2/1 124/47 1/1 95/36 5/3 2/1 66/25 2/1 169/64 2/1 1/0 103/39 1/1 2/1 37/14 1/1 8/3 2/1 1/0 35/13 1/1 62/23 1/1 3/2 27/10 1/1 2/1 73/27 5/3 2/1 46/17 1/1 19/7 2/1 49/18 2/1 5/2 30/11 2/1 3/1 71/26 2/1 1/0 41/15 1/1 2/1 93/34 2/1 5/2 52/19 3/1 1/0 11/4 3/1 69/25 4/1 5/1 58/21 4/1 1/0 47/17 4/1 5/1 36/13 6/1 1/0 61/22 14/1 1/0 86/31 1/0 111/40 -18/1 1/0 25/9 -2/1 1/0 39/14 1/1 2/1 92/33 2/1 5/2 53/19 3/1 14/5 2/1 1/0 59/21 1/1 2/1 45/16 2/1 3/1 31/11 3/1 17/6 2/1 3/1 37/13 4/1 9/2 57/20 4/1 1/0 134/47 3/1 4/1 77/27 4/1 97/34 4/1 5/1 20/7 5/1 23/8 8/1 1/0 3/1 -1/1 1/0 25/8 -1/1 22/7 0/1 1/0 41/13 -3/1 60/19 -2/1 1/0 79/25 -2/1 19/6 -2/1 -1/1 35/11 -1/1 -3/4 51/16 -1/2 0/1 67/21 -2/1 1/0 16/5 -1/1 61/19 -1/1 -2/3 45/14 -2/3 -1/2 119/37 -1/2 74/23 -1/2 -2/5 29/9 -1/2 0/1 71/22 -1/3 42/13 -1/1 0/1 13/4 -1/1 0/1 36/11 -1/2 0/1 95/29 1/1 1/0 154/47 -1/1 59/18 0/1 1/0 23/7 -1/1 10/3 0/1 37/11 1/3 101/30 1/3 2/5 165/49 2/5 1/2 229/68 3/7 64/19 1/2 2/3 91/27 0/1 1/2 118/35 1/3 27/8 1/2 1/1 71/21 2/3 1/1 186/55 7/8 1/1 301/89 1/1 115/34 1/1 3/2 44/13 1/1 105/31 2/1 1/0 61/18 0/1 1/0 78/23 0/1 1/1 17/5 0/1 1/1 58/17 1/1 99/29 0/1 1/0 140/41 -1/3 0/1 181/53 0/1 41/12 0/1 1/3 24/7 0/1 1/0 55/16 1/3 1/2 31/9 0/1 1/2 38/11 2/5 1/2 7/2 1/1 39/11 0/1 1/0 71/20 0/1 32/9 0/1 1/1 153/43 0/1 1/0 274/77 0/1 121/34 0/1 1/2 89/25 1/1 57/16 0/1 1/0 25/7 1/2 1/1 43/12 6/7 1/1 61/17 1/1 79/22 1/1 14/13 18/5 1/1 4/3 47/13 1/1 123/34 4/3 3/2 199/55 10/7 3/2 275/76 3/2 76/21 3/2 2/1 105/29 5/3 2/1 29/8 1/1 2/1 40/11 1/1 91/25 3/2 2/1 51/14 2/1 113/31 3/1 62/17 2/1 1/0 135/37 1/1 2/1 73/20 3/1 11/3 1/1 2/1 37/10 2/1 5/2 63/17 2/1 3/1 89/24 3/1 1/0 26/7 3/1 41/11 1/0 15/4 2/1 1/0 49/13 2/1 3/1 34/9 -1/1 1/0 87/23 1/2 1/1 53/14 2/1 1/0 19/5 3/1 61/16 4/1 1/0 103/27 4/1 145/38 5/1 42/11 4/1 5/1 65/17 5/1 1/0 23/6 6/1 1/0 27/7 14/1 1/0 31/8 1/0 35/9 -18/1 1/0 4/1 -2/1 1/0 33/8 -2/1 -1/1 62/15 -2/1 -3/2 29/7 -1/1 25/6 -3/2 -4/3 46/11 -1/1 21/5 -1/1 59/14 -5/6 -4/5 38/9 -3/4 -2/3 55/13 -2/3 -1/2 72/17 0/1 1/0 17/4 -1/1 64/15 -2/3 -1/2 111/26 -4/7 -1/2 158/37 -1/2 47/11 -1/2 0/1 30/7 -1/1 0/1 13/3 -1/1 -2/3 48/11 -2/3 -1/2 35/8 -5/9 -1/2 22/5 -1/3 75/17 -1/3 0/1 128/29 -1/4 0/1 53/12 0/1 84/19 -1/1 0/1 115/26 -1/3 31/7 -1/2 0/1 9/2 -1/4 0/1 32/7 0/1 55/12 0/1 1/24 23/5 0/1 1/10 60/13 2/13 1/6 157/34 1/7 1/6 97/21 0/1 1/6 37/8 1/5 51/11 0/1 1/3 116/25 1/5 65/14 0/1 1/4 14/3 0/1 1/3 47/10 1/3 80/17 2/5 1/2 193/41 1/2 113/24 1/2 2/3 33/7 0/1 1/2 118/25 0/1 85/18 0/1 1/3 52/11 1/1 19/4 0/1 1/3 62/13 1/3 43/9 1/2 67/14 1/1 24/5 0/1 1/2 53/11 2/3 1/1 29/6 1/2 1/1 63/13 2/3 1/1 97/20 1/1 34/7 0/1 1/1 5/1 1/1 36/7 1/1 1/0 31/6 1/1 2/1 26/5 3/2 2/1 21/4 2/1 3/1 37/7 6/1 1/0 16/3 2/1 1/0 27/5 3/1 1/0 11/2 1/0 39/7 -5/1 1/0 106/19 -4/1 -7/2 67/12 -4/1 1/0 95/17 -6/1 1/0 28/5 -3/1 73/13 -5/2 -2/1 45/8 -2/1 -1/1 62/11 2/1 1/0 79/14 -3/1 17/3 -2/1 1/0 40/7 0/1 1/0 63/11 -9/1 1/0 23/4 -3/1 29/5 -2/1 -3/2 35/6 -2/1 -1/1 6/1 -1/1 1/0 37/6 -1/2 -1/3 31/5 -1/1 25/4 -1/2 0/1 19/3 0/1 1/1 51/8 0/1 1/0 32/5 -1/1 0/1 13/2 -1/1 46/7 -1/3 0/1 79/12 0/1 33/5 -1/2 0/1 20/3 -1/3 0/1 27/4 -1/8 0/1 34/5 0/1 41/6 0/1 1/12 7/1 0/1 1/2 29/4 1/1 22/3 -1/1 0/1 15/2 0/1 1/1 38/5 1/1 1/0 23/3 0/1 31/4 1/3 1/2 8/1 1/1 17/2 2/1 1/0 9/1 -2/1 1/0 19/2 -1/1 10/1 -1/2 0/1 11/1 -1/1 12/1 0/1 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(1049,502,746,357) (-1/2,-10/21) -> (52/37,45/32) Hyperbolic Matrix(2523,1198,596,283) (-10/21,-9/19) -> (55/13,72/17) Hyperbolic Matrix(1033,488,-3842,-1815) (-9/19,-8/17) -> (-32/119,-25/93) Hyperbolic Matrix(587,276,738,347) (-8/17,-15/32) -> (27/34,4/5) Hyperbolic Matrix(441,206,730,341) (-15/32,-7/15) -> (3/5,23/38) Hyperbolic Matrix(1315,612,-5838,-2717) (-7/15,-20/43) -> (-16/71,-25/111) Hyperbolic Matrix(4229,1966,1310,609) (-20/43,-13/28) -> (71/22,42/13) Hyperbolic Matrix(1599,742,584,271) (-13/28,-6/13) -> (52/19,11/4) Hyperbolic Matrix(2747,1264,1154,531) (-6/13,-17/37) -> (69/29,50/21) Hyperbolic Matrix(4757,2184,2886,1325) (-17/37,-28/61) -> (28/17,61/37) Hyperbolic Matrix(4181,1918,-10810,-4959) (-28/61,-11/24) -> (-41/106,-70/181) Hyperbolic Matrix(1723,788,-4454,-2037) (-11/24,-16/35) -> (-12/31,-41/106) Hyperbolic Matrix(2009,918,720,329) (-16/35,-5/11) -> (53/19,14/5) Hyperbolic Matrix(3279,1486,7562,3427) (-5/11,-29/64) -> (13/30,49/113) Hyperbolic Matrix(7271,3294,11838,5363) (-29/64,-24/53) -> (78/127,43/70) Hyperbolic Matrix(2139,968,1138,515) (-24/53,-19/42) -> (15/8,32/17) Hyperbolic Matrix(571,258,1848,835) (-19/42,-14/31) -> (4/13,13/42) Hyperbolic Matrix(1565,706,2414,1089) (-14/31,-23/51) -> (11/17,24/37) Hyperbolic Matrix(3265,1472,712,321) (-23/51,-9/20) -> (55/12,23/5) Hyperbolic Matrix(427,192,-1986,-893) (-9/20,-22/49) -> (-14/65,-3/14) Hyperbolic Matrix(709,318,1554,697) (-22/49,-13/29) -> (5/11,16/35) Hyperbolic Matrix(991,444,-3252,-1457) (-13/29,-17/38) -> (-25/82,-7/23) Hyperbolic Matrix(1977,884,4654,2081) (-17/38,-21/47) -> (31/73,17/40) Hyperbolic Matrix(2393,1068,1974,881) (-21/47,-4/9) -> (40/33,57/47) Hyperbolic Matrix(1261,558,-6018,-2663) (-4/9,-23/52) -> (-13/62,-22/105) Hyperbolic Matrix(977,432,3078,1361) (-23/52,-19/43) -> (13/41,7/22) Hyperbolic Matrix(1817,802,836,369) (-19/43,-15/34) -> (13/6,37/17) Hyperbolic Matrix(1533,676,1118,493) (-15/34,-11/25) -> (37/27,11/8) Hyperbolic Matrix(1949,856,1250,549) (-11/25,-18/41) -> (14/9,39/25) Hyperbolic Matrix(971,426,-5418,-2377) (-18/41,-25/57) -> (-7/39,-12/67) Hyperbolic Matrix(3749,1644,-13890,-6091) (-25/57,-32/73) -> (-44/163,-17/63) Hyperbolic Matrix(3751,1644,3192,1399) (-32/73,-7/16) -> (47/40,20/17) Hyperbolic Matrix(3047,1330,1244,543) (-7/16,-24/55) -> (22/9,49/20) Hyperbolic Matrix(10793,4708,3872,1689) (-24/55,-41/94) -> (39/14,92/33) Hyperbolic Matrix(10511,4584,14526,6335) (-41/94,-17/39) -> (89/123,55/76) Hyperbolic Matrix(7605,3314,3316,1445) (-17/39,-44/101) -> (94/41,39/17) Hyperbolic Matrix(4839,2108,7876,3431) (-44/101,-27/62) -> (43/70,8/13) Hyperbolic Matrix(1379,600,-3174,-1381) (-27/62,-10/23) -> (-10/23,-33/76) Parabolic Matrix(3585,1556,4684,2033) (-33/76,-23/53) -> (13/17,49/64) Hyperbolic Matrix(1513,656,-3854,-1671) (-23/53,-13/30) -> (-11/28,-31/79) Hyperbolic Matrix(411,178,1928,835) (-13/30,-16/37) -> (10/47,3/14) Hyperbolic Matrix(963,416,2470,1067) (-16/37,-3/7) -> (23/59,16/41) Hyperbolic Matrix(1223,520,1898,807) (-3/7,-17/40) -> (9/14,29/45) Hyperbolic Matrix(951,404,-4070,-1729) (-17/40,-14/33) -> (-18/77,-7/30) Hyperbolic Matrix(2165,918,408,173) (-14/33,-25/59) -> (37/7,16/3) Hyperbolic Matrix(949,402,-5550,-2351) (-25/59,-36/85) -> (-6/35,-7/41) Hyperbolic Matrix(11633,4926,18942,8021) (-36/85,-47/111) -> (35/57,78/127) Hyperbolic Matrix(8389,3552,2298,973) (-47/111,-11/26) -> (73/20,11/3) Hyperbolic Matrix(947,400,2564,1083) (-11/26,-19/45) -> (7/19,17/46) Hyperbolic Matrix(541,228,942,397) (-19/45,-8/19) -> (4/7,19/33) Hyperbolic Matrix(271,114,-1752,-737) (-8/19,-29/69) -> (-7/45,-2/13) Hyperbolic Matrix(1209,508,4172,1753) (-29/69,-21/50) -> (11/38,9/31) Hyperbolic Matrix(939,394,-3358,-1409) (-21/50,-13/31) -> (-7/25,-19/68) Hyperbolic Matrix(2953,1238,1882,789) (-13/31,-44/105) -> (58/37,11/7) Hyperbolic Matrix(5103,2138,6442,2699) (-44/105,-31/74) -> (19/24,42/53) Hyperbolic Matrix(1743,730,4028,1687) (-31/74,-18/43) -> (16/37,13/30) Hyperbolic Matrix(803,336,2550,1067) (-18/43,-23/55) -> (11/35,6/19) Hyperbolic Matrix(3081,1288,1208,505) (-23/55,-5/12) -> (51/20,23/9) Hyperbolic Matrix(3203,1330,932,387) (-5/12,-22/53) -> (24/7,55/16) Hyperbolic Matrix(535,222,-4668,-1937) (-22/53,-39/94) -> (-3/26,-4/35) Hyperbolic Matrix(3201,1328,7330,3041) (-39/94,-17/41) -> (31/71,7/16) Hyperbolic Matrix(1467,608,-4664,-1933) (-17/41,-29/70) -> (-17/54,-11/35) Hyperbolic Matrix(797,330,-3060,-1267) (-29/70,-12/29) -> (-6/23,-13/50) Hyperbolic Matrix(1727,714,-7578,-3133) (-12/29,-31/75) -> (-13/57,-18/79) Hyperbolic Matrix(3059,1264,530,219) (-31/75,-19/46) -> (23/4,29/5) Hyperbolic Matrix(3319,1370,5182,2139) (-19/46,-26/63) -> (16/25,41/64) Hyperbolic Matrix(2521,1040,8632,3561) (-26/63,-33/80) -> (7/24,26/89) Hyperbolic Matrix(1193,492,5046,2081) (-33/80,-7/17) -> (13/55,9/38) Hyperbolic Matrix(1591,654,4104,1687) (-7/17,-23/56) -> (31/80,19/49) Hyperbolic Matrix(9001,3696,14556,5977) (-23/56,-39/95) -> (81/131,47/76) Hyperbolic Matrix(8073,3314,2380,977) (-39/95,-16/39) -> (78/23,17/5) Hyperbolic Matrix(795,326,-3836,-1573) (-16/39,-25/61) -> (-11/53,-6/29) Hyperbolic Matrix(1187,486,-2904,-1189) (-25/61,-9/22) -> (-9/22,-29/71) Parabolic Matrix(3821,1560,5538,2261) (-29/71,-20/49) -> (20/29,49/71) Hyperbolic Matrix(2897,1182,924,377) (-20/49,-31/76) -> (25/8,22/7) Hyperbolic Matrix(3163,1290,4872,1987) (-31/76,-11/27) -> (37/57,13/20) Hyperbolic Matrix(1973,802,524,213) (-11/27,-13/32) -> (15/4,49/13) Hyperbolic Matrix(2495,1012,392,159) (-13/32,-15/37) -> (19/3,51/8) Hyperbolic Matrix(1703,688,2354,951) (-15/37,-2/5) -> (34/47,89/123) Hyperbolic Matrix(2451,968,514,203) (-2/5,-15/38) -> (19/4,62/13) Hyperbolic Matrix(2317,914,-7856,-3099) (-15/38,-13/33) -> (-41/139,-23/78) Hyperbolic Matrix(641,252,-2826,-1111) (-13/33,-11/28) -> (-5/22,-17/75) Hyperbolic Matrix(12581,4936,7700,3021) (-31/79,-20/51) -> (116/71,67/41) Hyperbolic Matrix(2435,954,3336,1307) (-20/51,-9/23) -> (27/37,46/63) Hyperbolic Matrix(1151,450,642,251) (-9/23,-16/41) -> (34/19,9/5) Hyperbolic Matrix(2943,1148,4858,1895) (-16/41,-39/100) -> (23/38,20/33) Hyperbolic Matrix(2431,948,2172,847) (-39/100,-23/59) -> (19/17,9/8) Hyperbolic Matrix(637,248,-2042,-795) (-23/59,-7/18) -> (-5/16,-19/61) Hyperbolic Matrix(381,148,1022,397) (-7/18,-19/49) -> (13/35,3/8) Hyperbolic Matrix(3819,1480,6242,2419) (-19/49,-31/80) -> (11/18,41/67) Hyperbolic Matrix(11841,4588,6878,2665) (-31/80,-43/111) -> (105/61,31/18) Hyperbolic Matrix(253,98,-2672,-1035) (-43/111,-12/31) -> (-2/21,-1/11) Hyperbolic Matrix(28745,11116,8774,3393) (-70/181,-29/75) -> (95/29,154/47) Hyperbolic Matrix(1397,540,-4830,-1867) (-29/75,-17/44) -> (-11/38,-13/45) Hyperbolic Matrix(3051,1178,1396,539) (-17/44,-22/57) -> (24/11,35/16) Hyperbolic Matrix(379,146,-1394,-537) (-22/57,-5/13) -> (-3/11,-16/59) Hyperbolic Matrix(1519,582,2148,823) (-5/13,-18/47) -> (12/17,29/41) Hyperbolic Matrix(3667,1404,6318,2419) (-18/47,-31/81) -> (47/81,18/31) Hyperbolic Matrix(4803,1838,4168,1595) (-31/81,-44/115) -> (38/33,15/13) Hyperbolic Matrix(2651,1014,8970,3431) (-44/115,-13/34) -> (13/44,34/115) Hyperbolic Matrix(1387,530,1264,483) (-13/34,-47/123) -> (1/1,11/10) Hyperbolic Matrix(4167,1592,-13760,-5257) (-47/123,-34/89) -> (-10/33,-33/109) Hyperbolic Matrix(8079,3086,-21962,-8389) (-34/89,-55/144) -> (-39/106,-32/87) Hyperbolic Matrix(6813,2602,15650,5977) (-55/144,-21/55) -> (37/85,27/62) Hyperbolic Matrix(1007,384,-2646,-1009) (-21/55,-8/21) -> (-8/21,-27/71) Parabolic Matrix(3273,1244,4528,1721) (-27/71,-19/50) -> (13/18,47/65) Hyperbolic Matrix(627,238,-2890,-1097) (-19/50,-11/29) -> (-5/23,-13/60) Hyperbolic Matrix(2261,856,626,237) (-11/29,-14/37) -> (18/5,47/13) Hyperbolic Matrix(751,284,2134,807) (-14/37,-17/45) -> (13/37,6/17) Hyperbolic Matrix(625,236,2884,1089) (-17/45,-3/8) -> (13/60,5/23) Hyperbolic Matrix(1241,462,-4596,-1711) (-3/8,-16/43) -> (-10/37,-27/100) Hyperbolic Matrix(4717,1754,-16886,-6279) (-16/43,-29/78) -> (-19/68,-50/179) Hyperbolic Matrix(6453,2398,2360,877) (-29/78,-13/35) -> (41/15,93/34) Hyperbolic Matrix(1611,598,1118,415) (-13/35,-10/27) -> (36/25,13/9) Hyperbolic Matrix(989,366,1116,413) (-10/27,-27/73) -> (15/17,8/9) Hyperbolic Matrix(6187,2288,5200,1923) (-27/73,-44/119) -> (44/37,25/21) Hyperbolic Matrix(2353,870,1236,457) (-44/119,-17/46) -> (19/10,2/1) Hyperbolic Matrix(1359,502,2228,823) (-17/46,-7/19) -> (25/41,11/18) Hyperbolic Matrix(6297,2318,4936,1817) (-7/19,-39/106) -> (125/98,37/29) Hyperbolic Matrix(1849,680,-7154,-2631) (-32/87,-25/68) -> (-15/58,-8/31) Hyperbolic Matrix(9249,3400,6662,2449) (-25/68,-43/117) -> (93/67,25/18) Hyperbolic Matrix(7767,2854,1358,499) (-43/117,-18/49) -> (40/7,63/11) Hyperbolic Matrix(2957,1086,4686,1721) (-18/49,-29/79) -> (41/65,12/19) Hyperbolic Matrix(16391,6016,6776,2487) (-29/79,-40/109) -> (104/43,75/31) Hyperbolic Matrix(1723,632,-6404,-2349) (-40/109,-11/30) -> (-7/26,-32/119) Hyperbolic Matrix(1845,676,494,181) (-11/30,-15/41) -> (41/11,15/4) Hyperbolic Matrix(1351,494,1846,675) (-15/41,-4/11) -> (30/41,11/15) Hyperbolic Matrix(3299,1194,1224,443) (-4/11,-17/47) -> (35/13,62/23) Hyperbolic Matrix(1709,618,5622,2033) (-17/47,-30/83) -> (24/79,7/23) Hyperbolic Matrix(3543,1280,-12824,-4633) (-30/83,-13/36) -> (-21/76,-50/181) Hyperbolic Matrix(1585,572,1222,441) (-13/36,-9/25) -> (35/27,13/10) Hyperbolic Matrix(367,132,-2316,-833) (-9/25,-23/64) -> (-7/44,-3/19) Hyperbolic Matrix(4993,1794,3042,1093) (-23/64,-14/39) -> (64/39,23/14) Hyperbolic Matrix(485,174,2556,917) (-14/39,-19/53) -> (7/37,4/21) Hyperbolic Matrix(14951,5358,2676,959) (-19/53,-43/120) -> (67/12,95/17) Hyperbolic Matrix(17383,6228,7656,2743) (-43/120,-24/67) -> (84/37,109/48) Hyperbolic Matrix(2915,1044,7536,2699) (-24/67,-5/14) -> (41/106,12/31) Hyperbolic Matrix(847,302,244,87) (-5/14,-16/45) -> (38/11,7/2) Hyperbolic Matrix(1087,386,-3506,-1245) (-16/45,-11/31) -> (-9/29,-22/71) Hyperbolic Matrix(361,128,2056,729) (-11/31,-17/48) -> (7/40,3/17) Hyperbolic Matrix(481,170,-1808,-639) (-17/48,-6/17) -> (-4/15,-17/64) Hyperbolic Matrix(603,212,2284,803) (-6/17,-13/37) -> (5/19,14/53) Hyperbolic Matrix(843,296,-3728,-1309) (-13/37,-7/20) -> (-19/84,-7/31) Hyperbolic Matrix(3833,1338,1080,377) (-7/20,-15/43) -> (39/11,71/20) Hyperbolic Matrix(5271,1838,3232,1127) (-15/43,-8/23) -> (106/65,31/19) Hyperbolic Matrix(837,290,1192,413) (-8/23,-1/3) -> (33/47,26/37) Hyperbolic Matrix(1145,366,804,257) (-1/3,-7/22) -> (37/26,47/33) Hyperbolic Matrix(3083,978,5028,1595) (-7/22,-13/41) -> (19/31,65/106) Hyperbolic Matrix(4569,1448,3310,1049) (-13/41,-6/19) -> (98/71,29/21) Hyperbolic Matrix(6603,2080,4784,1507) (-6/19,-17/54) -> (69/50,98/71) Hyperbolic Matrix(2159,678,570,179) (-11/35,-5/16) -> (53/14,19/5) Hyperbolic Matrix(681,212,2830,881) (-19/61,-14/45) -> (6/25,7/29) Hyperbolic Matrix(1925,598,338,105) (-14/45,-9/29) -> (17/3,40/7) Hyperbolic Matrix(4861,1506,3954,1225) (-22/71,-13/42) -> (59/48,16/13) Hyperbolic Matrix(227,70,788,243) (-13/42,-4/13) -> (2/7,11/38) Hyperbolic Matrix(899,276,114,35) (-4/13,-19/62) -> (31/4,8/1) Hyperbolic Matrix(20353,6236,12484,3825) (-19/62,-34/111) -> (194/119,75/46) Hyperbolic Matrix(14727,4510,6410,1963) (-34/111,-15/49) -> (85/37,108/47) Hyperbolic Matrix(2361,722,448,137) (-15/49,-11/36) -> (21/4,37/7) Hyperbolic Matrix(2805,856,4604,1405) (-11/36,-18/59) -> (14/23,39/64) Hyperbolic Matrix(2695,822,-11898,-3629) (-18/59,-25/82) -> (-29/128,-12/53) Hyperbolic Matrix(783,238,1010,307) (-7/23,-10/33) -> (24/31,7/9) Hyperbolic Matrix(11185,3386,-40046,-12123) (-33/109,-23/76) -> (-81/290,-31/111) Hyperbolic Matrix(7155,2164,2126,643) (-23/76,-13/43) -> (37/11,101/30) Hyperbolic Matrix(1119,338,3016,911) (-13/43,-3/10) -> (23/62,13/35) Hyperbolic Matrix(1667,496,1220,363) (-3/10,-11/37) -> (15/11,41/30) Hyperbolic Matrix(1663,494,1222,363) (-11/37,-8/27) -> (34/25,15/11) Hyperbolic Matrix(223,66,-2328,-689) (-8/27,-29/98) -> (-1/10,-2/21) Hyperbolic Matrix(5983,1770,5094,1507) (-29/98,-21/71) -> (27/23,47/40) Hyperbolic Matrix(5535,1636,3434,1015) (-21/71,-13/44) -> (29/18,79/49) Hyperbolic Matrix(6421,1896,9960,2941) (-13/44,-31/105) -> (29/45,49/76) Hyperbolic Matrix(10291,3038,14278,4215) (-31/105,-18/61) -> (80/111,31/43) Hyperbolic Matrix(13165,3884,21466,6333) (-18/61,-41/139) -> (111/181,46/75) Hyperbolic Matrix(4647,1370,-16814,-4957) (-23/78,-5/17) -> (-55/199,-21/76) Hyperbolic Matrix(1987,582,1212,355) (-5/17,-12/41) -> (18/11,41/25) Hyperbolic Matrix(5291,1548,1104,323) (-12/41,-31/106) -> (67/14,24/5) Hyperbolic Matrix(4631,1354,5510,1611) (-31/106,-19/65) -> (21/25,37/44) Hyperbolic Matrix(993,290,880,257) (-19/65,-7/24) -> (9/8,17/15) Hyperbolic Matrix(769,224,1102,321) (-7/24,-9/31) -> (23/33,7/10) Hyperbolic Matrix(7471,2166,3294,955) (-9/31,-20/69) -> (34/15,93/41) Hyperbolic Matrix(2305,668,-10652,-3087) (-20/69,-11/38) -> (-29/134,-8/37) Hyperbolic Matrix(769,222,-4278,-1235) (-13/45,-2/7) -> (-16/89,-7/39) Hyperbolic Matrix(2501,706,542,153) (-2/7,-11/39) -> (23/5,60/13) Hyperbolic Matrix(1847,520,650,183) (-11/39,-9/32) -> (17/6,37/13) Hyperbolic Matrix(541,152,1954,549) (-9/32,-7/25) -> (13/47,5/18) Hyperbolic Matrix(23163,6470,8116,2267) (-50/179,-81/290) -> (97/34,20/7) Hyperbolic Matrix(10715,2992,4652,1299) (-31/111,-12/43) -> (76/33,53/23) Hyperbolic Matrix(539,150,-1944,-541) (-12/43,-5/18) -> (-5/18,-18/65) Parabolic Matrix(5071,1404,3666,1015) (-18/65,-13/47) -> (65/47,18/13) Hyperbolic Matrix(13369,3696,5820,1609) (-13/47,-34/123) -> (62/27,85/37) Hyperbolic Matrix(11209,3098,7978,2205) (-34/123,-55/199) -> (7/5,52/37) Hyperbolic Matrix(9051,2500,-41812,-11549) (-50/181,-29/105) -> (-21/97,-50/231) Hyperbolic Matrix(3449,952,1076,297) (-29/105,-8/29) -> (16/5,61/19) Hyperbolic Matrix(7647,2108,2260,623) (-8/29,-27/98) -> (115/34,44/13) Hyperbolic Matrix(3551,978,4092,1127) (-27/98,-19/69) -> (13/15,33/38) Hyperbolic Matrix(5379,1480,3122,859) (-19/69,-11/40) -> (31/18,81/47) Hyperbolic Matrix(1827,502,1292,355) (-11/40,-3/11) -> (41/29,17/12) Hyperbolic Matrix(5245,1422,3102,841) (-16/59,-13/48) -> (71/42,22/13) Hyperbolic Matrix(1175,318,2568,695) (-13/48,-10/37) -> (16/35,11/24) Hyperbolic Matrix(963,260,3952,1067) (-27/100,-44/163) -> (8/33,1/4) Hyperbolic Matrix(319,86,-2348,-633) (-17/63,-7/26) -> (-3/22,-5/37) Hyperbolic Matrix(7999,2150,13762,3699) (-25/93,-18/67) -> (68/117,25/43) Hyperbolic Matrix(5227,1404,3198,859) (-18/67,-11/41) -> (67/41,18/11) Hyperbolic Matrix(853,228,318,85) (-11/41,-4/15) -> (8/3,35/13) Hyperbolic Matrix(3081,818,742,197) (-17/64,-13/49) -> (29/7,25/6) Hyperbolic Matrix(1803,478,2018,535) (-13/49,-22/83) -> (8/9,17/19) Hyperbolic Matrix(4031,1068,2442,647) (-22/83,-9/34) -> (33/20,38/23) Hyperbolic Matrix(953,252,1698,449) (-9/34,-5/19) -> (23/41,9/16) Hyperbolic Matrix(2751,722,2008,527) (-5/19,-11/42) -> (63/46,37/27) Hyperbolic Matrix(421,110,-2216,-579) (-11/42,-6/23) -> (-4/21,-11/58) Hyperbolic Matrix(739,192,-4638,-1205) (-13/50,-7/27) -> (-11/69,-7/44) Hyperbolic Matrix(12523,3240,7680,1987) (-7/27,-15/58) -> (75/46,181/111) Hyperbolic Matrix(1257,322,1784,457) (-8/31,-1/4) -> (31/44,74/105) Hyperbolic Matrix(1855,452,1342,327) (-1/4,-7/29) -> (123/89,47/34) Hyperbolic Matrix(4829,1162,1334,321) (-7/29,-6/25) -> (76/21,105/29) Hyperbolic Matrix(1333,318,306,73) (-6/25,-5/21) -> (13/3,48/11) Hyperbolic Matrix(3783,898,2456,583) (-5/21,-14/59) -> (20/13,57/37) Hyperbolic Matrix(5725,1358,3478,825) (-14/59,-9/38) -> (79/48,28/17) Hyperbolic Matrix(407,96,-1734,-409) (-9/38,-4/17) -> (-4/17,-15/64) Parabolic Matrix(3159,740,508,119) (-15/64,-11/47) -> (31/5,25/4) Hyperbolic Matrix(1933,452,1732,405) (-11/47,-18/77) -> (10/9,19/17) Hyperbolic Matrix(5697,1328,2338,545) (-7/30,-17/73) -> (95/39,39/16) Hyperbolic Matrix(11181,2602,6914,1609) (-17/73,-10/43) -> (76/47,131/81) Hyperbolic Matrix(3147,730,1220,283) (-10/43,-3/13) -> (49/19,80/31) Hyperbolic Matrix(3849,884,910,209) (-3/13,-14/61) -> (38/9,55/13) Hyperbolic Matrix(3139,720,606,139) (-14/61,-11/48) -> (31/6,26/5) Hyperbolic Matrix(3947,904,2528,579) (-11/48,-8/35) -> (64/41,25/16) Hyperbolic Matrix(403,92,2326,531) (-8/35,-13/57) -> (5/29,4/23) Hyperbolic Matrix(5557,1266,2322,529) (-18/79,-5/22) -> (67/28,12/5) Hyperbolic Matrix(13009,2948,20374,4617) (-17/75,-29/128) -> (83/130,53/83) Hyperbolic Matrix(6451,1460,1816,411) (-12/53,-19/84) -> (71/20,32/9) Hyperbolic Matrix(5537,1248,2418,545) (-7/31,-16/71) -> (16/7,71/31) Hyperbolic Matrix(4831,1088,706,159) (-25/111,-9/40) -> (41/6,7/1) Hyperbolic Matrix(403,90,300,67) (-9/40,-2/9) -> (4/3,27/20) Hyperbolic Matrix(199,44,502,111) (-2/9,-9/41) -> (13/33,2/5) Hyperbolic Matrix(1899,416,598,131) (-9/41,-7/32) -> (19/6,35/11) Hyperbolic Matrix(2995,654,1296,283) (-7/32,-12/55) -> (30/13,37/16) Hyperbolic Matrix(3789,826,500,109) (-12/55,-17/78) -> (15/2,38/5) Hyperbolic Matrix(1397,304,2192,477) (-17/78,-5/23) -> (7/11,37/58) Hyperbolic Matrix(11451,2480,8362,1811) (-13/60,-21/97) -> (89/65,63/46) Hyperbolic Matrix(39123,8468,10252,2219) (-50/231,-29/134) -> (145/38,42/11) Hyperbolic Matrix(3085,666,894,193) (-8/37,-11/51) -> (31/9,38/11) Hyperbolic Matrix(7955,1714,2186,471) (-11/51,-14/65) -> (40/11,91/25) Hyperbolic Matrix(1883,400,692,147) (-3/14,-7/33) -> (19/7,49/18) Hyperbolic Matrix(1879,398,694,147) (-7/33,-4/19) -> (46/17,19/7) Hyperbolic Matrix(13329,2798,5626,1181) (-4/19,-17/81) -> (45/19,154/65) Hyperbolic Matrix(13821,2900,8488,1781) (-17/81,-13/62) -> (127/78,57/35) Hyperbolic Matrix(3847,806,988,207) (-22/105,-9/43) -> (35/9,4/1) Hyperbolic Matrix(297,62,1576,329) (-9/43,-5/24) -> (3/16,7/37) Hyperbolic Matrix(885,184,986,205) (-5/24,-11/53) -> (17/19,9/10) Hyperbolic Matrix(1375,284,886,183) (-6/29,-1/5) -> (45/29,14/9) Hyperbolic Matrix(1739,336,678,131) (-1/5,-5/26) -> (41/16,59/23) Hyperbolic Matrix(1351,258,288,55) (-5/26,-4/21) -> (14/3,47/10) Hyperbolic Matrix(5005,948,8178,1549) (-11/58,-7/37) -> (41/67,71/116) Hyperbolic Matrix(287,54,-1536,-289) (-7/37,-3/16) -> (-3/16,-11/59) Parabolic Matrix(4507,840,3450,643) (-11/59,-8/43) -> (64/49,17/13) Hyperbolic Matrix(5459,1014,3354,623) (-8/43,-13/70) -> (13/8,70/43) Hyperbolic Matrix(2297,426,5268,977) (-13/70,-5/27) -> (17/39,41/94) Hyperbolic Matrix(10047,1856,7270,1343) (-5/27,-12/65) -> (76/55,123/89) Hyperbolic Matrix(5641,1040,2392,441) (-12/65,-7/38) -> (33/14,92/39) Hyperbolic Matrix(2769,508,1052,193) (-7/38,-2/11) -> (50/19,79/30) Hyperbolic Matrix(5519,994,2282,411) (-2/11,-9/50) -> (29/12,104/43) Hyperbolic Matrix(3137,564,762,137) (-9/50,-16/89) -> (4/1,33/8) Hyperbolic Matrix(5797,1038,1614,289) (-12/67,-5/28) -> (79/22,18/5) Hyperbolic Matrix(853,152,1330,237) (-5/28,-3/17) -> (25/39,9/14) Hyperbolic Matrix(757,132,1038,181) (-3/17,-4/23) -> (8/11,27/37) Hyperbolic Matrix(1227,212,1036,179) (-4/23,-5/29) -> (13/11,32/27) Hyperbolic Matrix(2073,356,658,113) (-5/29,-6/35) -> (22/7,41/13) Hyperbolic Matrix(4701,802,1694,289) (-7/41,-1/6) -> (111/40,25/9) Hyperbolic Matrix(1955,316,464,75) (-1/6,-5/31) -> (21/5,59/14) Hyperbolic Matrix(1951,314,466,75) (-5/31,-4/25) -> (46/11,21/5) Hyperbolic Matrix(10211,1630,4454,711) (-4/25,-11/69) -> (149/65,94/41) Hyperbolic Matrix(1017,160,464,73) (-3/19,-5/32) -> (35/16,11/5) Hyperbolic Matrix(3511,548,1480,231) (-5/32,-7/45) -> (83/35,19/8) Hyperbolic Matrix(183,28,830,127) (-2/13,-5/33) -> (9/41,2/9) Hyperbolic Matrix(1561,236,1012,153) (-5/33,-3/20) -> (37/24,17/11) Hyperbolic Matrix(1191,178,368,55) (-3/20,-4/27) -> (42/13,13/4) Hyperbolic Matrix(3111,458,2194,323) (-4/27,-5/34) -> (17/12,78/55) Hyperbolic Matrix(7587,1112,4660,683) (-5/34,-6/41) -> (70/43,127/78) Hyperbolic Matrix(457,66,90,13) (-6/41,-1/7) -> (5/1,36/7) Hyperbolic Matrix(1265,174,996,137) (-1/7,-3/22) -> (33/26,47/37) Hyperbolic Matrix(179,24,-1350,-181) (-5/37,-2/15) -> (-2/15,-7/53) Parabolic Matrix(13479,1778,7816,1031) (-7/53,-5/38) -> (169/98,119/69) Hyperbolic Matrix(1797,236,2962,389) (-5/38,-3/23) -> (37/61,17/28) Hyperbolic Matrix(985,128,808,105) (-3/23,-1/8) -> (39/32,11/9) Hyperbolic Matrix(355,42,972,115) (-1/8,-2/17) -> (4/11,19/52) Hyperbolic Matrix(793,92,2560,297) (-2/17,-3/26) -> (13/42,22/71) Hyperbolic Matrix(3873,442,1586,181) (-4/35,-1/9) -> (105/43,22/9) Hyperbolic Matrix(437,48,264,29) (-1/9,-2/19) -> (38/23,5/3) Hyperbolic Matrix(2701,282,1044,109) (-2/19,-1/10) -> (119/46,44/17) Hyperbolic Matrix(1365,118,428,37) (-1/11,-1/12) -> (51/16,67/21) Hyperbolic Matrix(1181,88,926,69) (-1/12,0/1) -> (88/69,125/98) Hyperbolic Matrix(1495,-144,924,-89) (0/1,1/10) -> (55/34,144/89) Hyperbolic Matrix(493,-54,210,-23) (1/10,1/9) -> (7/3,47/20) Hyperbolic Matrix(839,-98,488,-57) (1/9,1/8) -> (55/32,43/25) Hyperbolic Matrix(1175,-152,3038,-393) (1/8,3/23) -> (29/75,41/106) Hyperbolic Matrix(1311,-172,1654,-217) (3/23,2/15) -> (42/53,23/29) Hyperbolic Matrix(619,-84,1098,-149) (2/15,1/7) -> (31/55,22/39) Hyperbolic Matrix(1493,-222,612,-91) (1/7,3/20) -> (39/16,61/25) Hyperbolic Matrix(1287,-194,272,-41) (3/20,2/13) -> (52/11,19/4) Hyperbolic Matrix(1823,-284,674,-105) (2/13,3/19) -> (73/27,46/17) Hyperbolic Matrix(605,-96,876,-139) (3/19,1/6) -> (29/42,9/13) Hyperbolic Matrix(1929,-332,3062,-527) (1/6,5/29) -> (17/27,63/100) Hyperbolic Matrix(1927,-336,2988,-521) (4/23,7/40) -> (49/76,20/31) Hyperbolic Matrix(3975,-706,3046,-541) (3/17,8/45) -> (30/23,77/59) Hyperbolic Matrix(1921,-342,264,-47) (8/45,5/28) -> (29/4,22/3) Hyperbolic Matrix(1123,-202,1918,-345) (5/28,2/11) -> (24/41,41/70) Hyperbolic Matrix(461,-86,788,-147) (2/11,3/16) -> (7/12,24/41) Hyperbolic Matrix(459,-88,1570,-301) (4/21,1/5) -> (19/65,12/41) Hyperbolic Matrix(905,-186,2136,-439) (1/5,6/29) -> (36/85,25/59) Hyperbolic Matrix(1097,-228,3036,-631) (6/29,5/24) -> (13/36,30/83) Hyperbolic Matrix(1225,-256,646,-135) (5/24,9/43) -> (17/9,19/10) Hyperbolic Matrix(3999,-838,5674,-1189) (9/43,4/19) -> (74/105,43/61) Hyperbolic Matrix(1287,-272,194,-41) (4/19,7/33) -> (33/5,20/3) Hyperbolic Matrix(2379,-506,3860,-821) (7/33,10/47) -> (8/13,45/73) Hyperbolic Matrix(899,-194,1988,-429) (3/14,8/37) -> (14/31,19/42) Hyperbolic Matrix(4103,-888,1668,-361) (8/37,13/60) -> (59/24,32/13) Hyperbolic Matrix(449,-98,2048,-447) (5/23,7/32) -> (7/32,9/41) Parabolic Matrix(509,-114,192,-43) (2/9,5/22) -> (37/14,8/3) Hyperbolic Matrix(1079,-246,636,-145) (5/22,3/13) -> (39/23,17/10) Hyperbolic Matrix(569,-132,444,-103) (3/13,4/17) -> (32/25,9/7) Hyperbolic Matrix(2019,-476,632,-149) (4/17,13/55) -> (67/21,16/5) Hyperbolic Matrix(2523,-598,2080,-493) (9/38,5/21) -> (57/47,17/14) Hyperbolic Matrix(1069,-256,2518,-603) (5/21,6/25) -> (14/33,31/73) Hyperbolic Matrix(4711,-1138,2074,-501) (7/29,8/33) -> (134/59,25/11) Hyperbolic Matrix(1547,-402,558,-145) (1/4,6/23) -> (36/13,61/22) Hyperbolic Matrix(2473,-646,1114,-291) (6/23,11/42) -> (71/32,20/9) Hyperbolic Matrix(2101,-552,864,-227) (11/42,5/19) -> (17/7,73/30) Hyperbolic Matrix(6787,-1794,2652,-701) (14/53,9/34) -> (87/34,64/25) Hyperbolic Matrix(2157,-572,494,-131) (9/34,4/15) -> (48/11,35/8) Hyperbolic Matrix(1169,-314,860,-231) (4/15,7/26) -> (19/14,34/25) Hyperbolic Matrix(553,-150,306,-83) (7/26,3/11) -> (9/5,29/16) Hyperbolic Matrix(1591,-438,672,-185) (3/11,8/29) -> (26/11,45/19) Hyperbolic Matrix(3911,-1080,612,-169) (8/29,21/76) -> (51/8,32/5) Hyperbolic Matrix(1649,-456,4278,-1183) (21/76,13/47) -> (5/13,27/70) Hyperbolic Matrix(1525,-426,426,-119) (5/18,7/25) -> (25/7,43/12) Hyperbolic Matrix(2803,-786,1644,-461) (7/25,9/32) -> (75/44,29/17) Hyperbolic Matrix(1763,-498,1278,-361) (9/32,2/7) -> (40/29,69/50) Hyperbolic Matrix(1389,-404,1028,-299) (9/31,7/24) -> (27/20,23/17) Hyperbolic Matrix(6701,-1958,15452,-4515) (26/89,19/65) -> (49/113,36/83) Hyperbolic Matrix(423,-124,904,-265) (12/41,5/17) -> (7/15,8/17) Hyperbolic Matrix(6747,-1990,2770,-817) (5/17,18/61) -> (56/23,95/39) Hyperbolic Matrix(3853,-1138,904,-267) (18/61,13/44) -> (17/4,64/15) Hyperbolic Matrix(21371,-6320,6320,-1869) (34/115,21/71) -> (71/21,186/55) Hyperbolic Matrix(2589,-766,7162,-2119) (21/71,8/27) -> (30/83,17/47) Hyperbolic Matrix(181,-54,600,-179) (8/27,3/10) -> (3/10,10/33) Parabolic Matrix(1555,-472,1018,-309) (10/33,17/56) -> (3/2,26/17) Hyperbolic Matrix(5623,-1708,9274,-2817) (17/56,24/79) -> (20/33,57/94) Hyperbolic Matrix(359,-110,656,-201) (7/23,4/13) -> (6/11,17/31) Hyperbolic Matrix(5655,-1754,2144,-665) (22/71,9/29) -> (29/11,124/47) Hyperbolic Matrix(3451,-1072,1072,-333) (9/29,14/45) -> (74/23,29/9) Hyperbolic Matrix(655,-204,594,-185) (14/45,5/16) -> (11/10,10/9) Hyperbolic Matrix(1485,-466,1246,-391) (5/16,11/35) -> (25/21,31/26) Hyperbolic Matrix(6515,-2064,2844,-901) (6/19,13/41) -> (71/31,126/55) Hyperbolic Matrix(1359,-436,826,-265) (7/22,1/3) -> (51/31,79/48) Hyperbolic Matrix(1043,-362,752,-261) (1/3,7/20) -> (61/44,43/31) Hyperbolic Matrix(6467,-2270,3752,-1317) (7/20,13/37) -> (81/47,131/76) Hyperbolic Matrix(921,-326,404,-143) (6/17,5/14) -> (41/18,16/7) Hyperbolic Matrix(1091,-392,860,-309) (5/14,9/25) -> (19/15,33/26) Hyperbolic Matrix(1547,-558,402,-145) (9/25,13/36) -> (23/6,27/7) Hyperbolic Matrix(13917,-5036,5270,-1907) (17/47,21/58) -> (169/64,103/39) Hyperbolic Matrix(7443,-2696,1604,-581) (21/58,4/11) -> (116/25,65/14) Hyperbolic Matrix(7255,-2652,3198,-1169) (19/52,15/41) -> (93/41,59/26) Hyperbolic Matrix(2855,-1046,1826,-669) (15/41,11/30) -> (25/16,61/39) Hyperbolic Matrix(855,-314,1484,-545) (11/30,7/19) -> (19/33,15/26) Hyperbolic Matrix(1823,-674,284,-105) (17/46,10/27) -> (32/5,13/2) Hyperbolic Matrix(4553,-1688,7226,-2679) (10/27,23/62) -> (63/100,46/73) Hyperbolic Matrix(509,-192,114,-43) (3/8,11/29) -> (31/7,9/2) Hyperbolic Matrix(905,-344,734,-279) (11/29,8/21) -> (16/13,21/17) Hyperbolic Matrix(621,-238,394,-151) (8/21,5/13) -> (11/7,30/19) Hyperbolic Matrix(10807,-4170,2532,-977) (27/70,22/57) -> (64/15,111/26) Hyperbolic Matrix(2139,-826,4726,-1825) (22/57,17/44) -> (19/42,24/53) Hyperbolic Matrix(3037,-1174,3826,-1479) (17/44,29/75) -> (23/29,27/34) Hyperbolic Matrix(14279,-5532,5454,-2113) (12/31,31/80) -> (89/34,144/55) Hyperbolic Matrix(13769,-5340,5340,-2071) (19/49,45/116) -> (165/64,49/19) Hyperbolic Matrix(18825,-7304,13544,-5255) (45/116,26/67) -> (82/59,139/100) Hyperbolic Matrix(6631,-2574,1404,-545) (26/67,7/18) -> (85/18,52/11) Hyperbolic Matrix(5107,-1990,2302,-897) (7/18,23/59) -> (51/23,71/32) Hyperbolic Matrix(4487,-1752,1908,-745) (16/41,25/64) -> (47/20,40/17) Hyperbolic Matrix(6787,-2652,1794,-701) (25/64,9/23) -> (87/23,53/14) Hyperbolic Matrix(617,-242,1568,-615) (9/23,11/28) -> (11/28,13/33) Parabolic Matrix(1055,-428,1442,-585) (2/5,11/27) -> (49/67,30/41) Hyperbolic Matrix(2771,-1130,1052,-429) (11/27,9/22) -> (79/30,29/11) Hyperbolic Matrix(1493,-612,222,-91) (9/22,16/39) -> (20/3,27/4) Hyperbolic Matrix(6747,-2770,1990,-817) (16/39,23/56) -> (61/18,78/23) Hyperbolic Matrix(2101,-864,552,-227) (23/56,7/17) -> (19/5,61/16) Hyperbolic Matrix(717,-296,608,-251) (7/17,12/29) -> (20/17,13/11) Hyperbolic Matrix(607,-252,330,-137) (12/29,5/12) -> (11/6,24/13) Hyperbolic Matrix(1705,-714,714,-299) (5/12,13/31) -> (31/13,43/18) Hyperbolic Matrix(4945,-2076,2856,-1199) (13/31,21/50) -> (45/26,71/41) Hyperbolic Matrix(2141,-900,1758,-739) (21/50,8/19) -> (28/23,39/32) Hyperbolic Matrix(1591,-672,438,-185) (8/19,11/26) -> (29/8,40/11) Hyperbolic Matrix(20659,-8748,7890,-3341) (11/26,36/85) -> (144/55,199/76) Hyperbolic Matrix(7177,-3042,2574,-1091) (25/59,14/33) -> (92/33,53/19) Hyperbolic Matrix(493,-210,54,-23) (17/40,3/7) -> (9/1,19/2) Hyperbolic Matrix(763,-328,328,-141) (3/7,22/51) -> (58/25,7/3) Hyperbolic Matrix(14495,-6254,4304,-1857) (22/51,19/44) -> (229/68,64/19) Hyperbolic Matrix(7951,-3436,1798,-777) (19/44,16/37) -> (84/19,115/26) Hyperbolic Matrix(12675,-5498,2612,-1133) (36/83,59/136) -> (97/20,34/7) Hyperbolic Matrix(13709,-5948,2828,-1227) (59/136,23/53) -> (63/13,97/20) Hyperbolic Matrix(3425,-1488,2502,-1087) (23/53,10/23) -> (26/19,89/65) Hyperbolic Matrix(4565,-1986,816,-355) (10/23,37/85) -> (95/17,28/5) Hyperbolic Matrix(6357,-2770,2770,-1207) (27/62,17/39) -> (39/17,101/44) Hyperbolic Matrix(7385,-3222,11568,-5047) (41/94,24/55) -> (30/47,83/130) Hyperbolic Matrix(6515,-2844,2064,-901) (24/55,31/71) -> (41/13,60/19) Hyperbolic Matrix(921,-404,326,-143) (7/16,11/25) -> (31/11,17/6) Hyperbolic Matrix(217,-96,486,-215) (11/25,4/9) -> (4/9,13/29) Parabolic Matrix(7107,-3190,4360,-1957) (13/29,22/49) -> (44/27,119/73) Hyperbolic Matrix(5597,-2514,2046,-919) (22/49,9/20) -> (93/34,52/19) Hyperbolic Matrix(2473,-1114,646,-291) (9/20,23/51) -> (65/17,23/6) Hyperbolic Matrix(4299,-1940,6074,-2741) (23/51,14/31) -> (46/65,63/89) Hyperbolic Matrix(4295,-1946,1556,-705) (24/53,5/11) -> (69/25,58/21) Hyperbolic Matrix(1015,-466,856,-393) (11/24,6/13) -> (32/27,19/16) Hyperbolic Matrix(1333,-618,852,-395) (6/13,7/15) -> (61/39,36/23) Hyperbolic Matrix(633,-302,1004,-479) (8/17,1/2) -> (29/46,70/111) Hyperbolic Matrix(1225,-646,256,-135) (1/2,9/17) -> (43/9,67/14) Hyperbolic Matrix(2241,-1190,1580,-839) (9/17,8/15) -> (78/55,61/43) Hyperbolic Matrix(1271,-680,914,-489) (8/15,7/13) -> (57/41,32/23) Hyperbolic Matrix(607,-330,252,-137) (7/13,6/11) -> (12/5,41/17) Hyperbolic Matrix(2519,-1382,1460,-801) (17/31,11/20) -> (69/40,19/11) Hyperbolic Matrix(553,-306,150,-83) (11/20,5/9) -> (11/3,37/10) Hyperbolic Matrix(701,-392,1250,-699) (5/9,14/25) -> (14/25,23/41) Parabolic Matrix(3643,-2052,648,-365) (9/16,31/55) -> (73/13,45/8) Hyperbolic Matrix(2493,-1408,1096,-619) (22/39,13/23) -> (25/11,66/29) Hyperbolic Matrix(299,-170,248,-141) (13/23,4/7) -> (6/5,23/19) Hyperbolic Matrix(841,-486,642,-371) (15/26,11/19) -> (17/13,21/16) Hyperbolic Matrix(2271,-1316,692,-401) (11/19,29/50) -> (59/18,23/7) Hyperbolic Matrix(6467,-3752,2270,-1317) (29/50,47/81) -> (37/13,57/20) Hyperbolic Matrix(6365,-3698,10952,-6363) (18/31,43/74) -> (43/74,68/117) Parabolic Matrix(839,-488,98,-57) (25/43,7/12) -> (17/2,9/1) Hyperbolic Matrix(9837,-5762,4280,-2507) (41/70,58/99) -> (108/47,23/10) Hyperbolic Matrix(2901,-1700,2558,-1499) (58/99,17/29) -> (17/15,42/37) Hyperbolic Matrix(787,-462,540,-317) (17/29,10/17) -> (16/11,19/13) Hyperbolic Matrix(1079,-636,246,-145) (10/17,13/22) -> (35/8,22/5) Hyperbolic Matrix(245,-146,146,-87) (13/22,3/5) -> (5/3,27/16) Hyperbolic Matrix(12041,-7302,5196,-3151) (57/94,37/61) -> (95/41,51/22) Hyperbolic Matrix(1359,-826,436,-265) (17/28,31/51) -> (3/1,25/8) Hyperbolic Matrix(4947,-3008,3008,-1829) (31/51,14/23) -> (74/45,51/31) Hyperbolic Matrix(16477,-10042,3490,-2127) (39/64,64/105) -> (118/25,85/18) Hyperbolic Matrix(1647,-1004,146,-89) (64/105,25/41) -> (11/1,12/1) Hyperbolic Matrix(6097,-3732,5370,-3287) (71/116,30/49) -> (42/37,25/22) Hyperbolic Matrix(2321,-1422,1500,-919) (30/49,19/31) -> (17/11,48/31) Hyperbolic Matrix(58939,-36144,17502,-10733) (65/106,111/181) -> (165/49,229/68) Hyperbolic Matrix(8121,-4982,3578,-2195) (46/75,27/44) -> (59/26,84/37) Hyperbolic Matrix(8265,-5074,5074,-3115) (27/44,35/57) -> (57/35,101/62) Hyperbolic Matrix(10229,-6306,2172,-1339) (45/73,37/60) -> (113/24,33/7) Hyperbolic Matrix(8347,-5148,3666,-2261) (37/60,29/47) -> (107/47,41/18) Hyperbolic Matrix(2073,-1280,1592,-983) (29/47,21/34) -> (13/10,43/33) Hyperbolic Matrix(2217,-1370,3086,-1907) (21/34,34/55) -> (28/39,23/32) Hyperbolic Matrix(31571,-19520,19520,-12069) (34/55,81/131) -> (131/81,186/115) Hyperbolic Matrix(2169,-1342,2746,-1699) (47/76,13/21) -> (15/19,49/62) Hyperbolic Matrix(241,-150,384,-239) (13/21,5/8) -> (5/8,17/27) Parabolic Matrix(33685,-21228,14832,-9347) (46/73,121/192) -> (109/48,134/59) Hyperbolic Matrix(90239,-56870,25358,-15981) (121/192,196/311) -> (274/77,121/34) Hyperbolic Matrix(80189,-50538,22536,-14203) (196/311,75/119) -> (153/43,274/77) Hyperbolic Matrix(6889,-4342,4498,-2835) (75/119,29/46) -> (49/32,23/15) Hyperbolic Matrix(20089,-12670,5884,-3711) (70/111,41/65) -> (99/29,140/41) Hyperbolic Matrix(621,-394,238,-151) (12/19,7/11) -> (13/5,34/13) Hyperbolic Matrix(7191,-4588,4666,-2977) (37/58,30/47) -> (94/61,37/24) Hyperbolic Matrix(18707,-11946,4380,-2797) (53/83,76/119) -> (158/37,47/11) Hyperbolic Matrix(18897,-12070,4426,-2827) (76/119,23/36) -> (111/26,158/37) Hyperbolic Matrix(2855,-1826,1046,-669) (23/36,16/25) -> (30/11,71/26) Hyperbolic Matrix(8035,-5148,3042,-1949) (41/64,25/39) -> (103/39,37/14) Hyperbolic Matrix(2321,-1500,1422,-919) (20/31,11/17) -> (31/19,80/49) Hyperbolic Matrix(7191,-4666,4588,-2977) (24/37,37/57) -> (105/67,58/37) Hyperbolic Matrix(897,-584,662,-431) (13/20,2/3) -> (42/31,19/14) Hyperbolic Matrix(787,-540,462,-317) (2/3,11/16) -> (17/10,46/27) Hyperbolic Matrix(2771,-1910,1754,-1209) (11/16,20/29) -> (30/19,79/50) Hyperbolic Matrix(9275,-6402,7338,-5065) (49/71,29/42) -> (91/72,67/53) Hyperbolic Matrix(737,-512,1058,-735) (9/13,16/23) -> (16/23,23/33) Parabolic Matrix(2705,-1898,962,-675) (7/10,33/47) -> (59/21,45/16) Hyperbolic Matrix(13603,-9562,2932,-2061) (26/37,71/101) -> (51/11,116/25) Hyperbolic Matrix(23129,-16260,16260,-11431) (71/101,45/64) -> (165/116,101/71) Hyperbolic Matrix(9479,-6666,5496,-3865) (45/64,19/27) -> (119/69,69/40) Hyperbolic Matrix(7095,-4996,1876,-1321) (19/27,50/71) -> (34/9,87/23) Hyperbolic Matrix(11807,-8316,4806,-3385) (50/71,81/115) -> (27/11,86/35) Hyperbolic Matrix(16567,-11670,9564,-6737) (81/115,31/44) -> (97/56,123/71) Hyperbolic Matrix(2241,-1580,1190,-839) (43/61,12/17) -> (32/17,17/9) Hyperbolic Matrix(5893,-4170,1050,-743) (29/41,46/65) -> (28/5,73/13) Hyperbolic Matrix(13061,-9246,5892,-4171) (63/89,17/24) -> (133/60,51/23) Hyperbolic Matrix(1049,-744,822,-583) (17/24,5/7) -> (37/29,23/18) Hyperbolic Matrix(499,-358,46,-33) (5/7,28/39) -> (10/1,11/1) Hyperbolic Matrix(1271,-914,680,-489) (23/32,18/25) -> (28/15,15/8) Hyperbolic Matrix(6665,-4802,9248,-6663) (18/25,49/68) -> (49/68,80/111) Parabolic Matrix(1043,-752,362,-261) (31/43,13/18) -> (23/8,3/1) Hyperbolic Matrix(8737,-6318,3666,-2651) (47/65,34/47) -> (112/47,31/13) Hyperbolic Matrix(5249,-3800,3800,-2751) (55/76,21/29) -> (29/21,105/76) Hyperbolic Matrix(1763,-1278,498,-361) (21/29,29/40) -> (7/2,39/11) Hyperbolic Matrix(1085,-788,632,-459) (29/40,8/11) -> (12/7,55/32) Hyperbolic Matrix(3425,-2502,1488,-1087) (46/63,19/26) -> (23/10,76/33) Hyperbolic Matrix(5001,-3656,1082,-791) (19/26,49/67) -> (97/21,37/8) Hyperbolic Matrix(1169,-860,314,-231) (11/15,14/19) -> (26/7,41/11) Hyperbolic Matrix(897,-662,584,-431) (14/19,17/23) -> (23/15,20/13) Hyperbolic Matrix(1389,-1028,404,-299) (17/23,3/4) -> (55/16,31/9) Hyperbolic Matrix(841,-642,486,-371) (3/4,13/17) -> (19/11,45/26) Hyperbolic Matrix(11219,-8592,2430,-1861) (49/64,36/47) -> (60/13,157/34) Hyperbolic Matrix(3975,-3046,706,-541) (36/47,23/30) -> (45/8,62/11) Hyperbolic Matrix(2073,-1592,1280,-983) (23/30,10/13) -> (34/21,81/50) Hyperbolic Matrix(749,-578,968,-747) (10/13,17/22) -> (17/22,24/31) Parabolic Matrix(569,-444,132,-103) (7/9,18/23) -> (30/7,13/3) Hyperbolic Matrix(1049,-822,744,-583) (18/23,11/14) -> (31/22,24/17) Hyperbolic Matrix(1091,-860,392,-309) (11/14,15/19) -> (25/9,39/14) Hyperbolic Matrix(10367,-8196,6012,-4753) (49/62,34/43) -> (50/29,169/98) Hyperbolic Matrix(18335,-14502,10758,-8509) (34/43,53/67) -> (121/71,196/115) Hyperbolic Matrix(3223,-2550,522,-413) (53/67,19/24) -> (37/6,31/5) Hyperbolic Matrix(905,-734,344,-279) (4/5,13/16) -> (21/8,50/19) Hyperbolic Matrix(473,-386,386,-315) (13/16,9/11) -> (11/9,27/22) Hyperbolic Matrix(2141,-1758,900,-739) (9/11,23/28) -> (19/8,69/29) Hyperbolic Matrix(1541,-1268,1112,-915) (23/28,14/17) -> (18/13,61/44) Hyperbolic Matrix(299,-248,170,-141) (14/17,5/6) -> (7/4,30/17) Hyperbolic Matrix(1485,-1246,466,-391) (5/6,21/25) -> (35/11,51/16) Hyperbolic Matrix(2075,-1746,1356,-1141) (37/44,16/19) -> (26/17,49/32) Hyperbolic Matrix(1015,-856,466,-393) (16/19,11/13) -> (37/17,24/11) Hyperbolic Matrix(717,-608,296,-251) (11/13,6/7) -> (46/19,17/7) Hyperbolic Matrix(1215,-1048,502,-433) (6/7,13/15) -> (75/31,46/19) Hyperbolic Matrix(3005,-2612,2378,-2067) (33/38,20/23) -> (24/19,91/72) Hyperbolic Matrix(1167,-1016,626,-545) (20/23,7/8) -> (41/22,28/15) Hyperbolic Matrix(3489,-3062,956,-839) (7/8,29/33) -> (135/37,73/20) Hyperbolic Matrix(2739,-2408,2408,-2117) (29/33,22/25) -> (58/51,33/29) Hyperbolic Matrix(2777,-2448,498,-439) (22/25,15/17) -> (39/7,106/19) Hyperbolic Matrix(655,-594,204,-185) (9/10,1/1) -> (61/19,45/14) Hyperbolic Matrix(17083,-19420,12010,-13653) (25/22,58/51) -> (394/277,165/116) Hyperbolic Matrix(6307,-7186,2662,-3033) (33/29,8/7) -> (154/65,263/111) Hyperbolic Matrix(1815,-2086,1306,-1501) (8/7,23/20) -> (25/18,82/59) Hyperbolic Matrix(1341,-1544,218,-251) (23/20,38/33) -> (6/1,37/6) Hyperbolic Matrix(253,-294,216,-251) (15/13,7/6) -> (7/6,27/23) Parabolic Matrix(2887,-3430,856,-1017) (19/16,44/37) -> (118/35,27/8) Hyperbolic Matrix(1957,-2334,462,-551) (31/26,6/5) -> (72/17,17/4) Hyperbolic Matrix(4867,-5898,2856,-3461) (23/19,40/33) -> (46/27,121/71) Hyperbolic Matrix(809,-984,282,-343) (17/14,28/23) -> (20/7,23/8) Hyperbolic Matrix(3011,-3698,2450,-3009) (27/22,43/35) -> (43/35,59/48) Parabolic Matrix(941,-1164,384,-475) (21/17,5/4) -> (49/20,27/11) Hyperbolic Matrix(3037,-3826,1174,-1479) (5/4,29/23) -> (75/29,119/46) Hyperbolic Matrix(1311,-1654,172,-217) (29/23,24/19) -> (38/5,23/3) Hyperbolic Matrix(9439,-11934,2652,-3353) (67/53,43/34) -> (121/34,89/25) Hyperbolic Matrix(2169,-2746,1342,-1699) (43/34,19/15) -> (21/13,97/60) Hyperbolic Matrix(4053,-5150,1718,-2183) (47/37,14/11) -> (92/39,59/25) Hyperbolic Matrix(3943,-5026,892,-1137) (14/11,51/40) -> (53/12,84/19) Hyperbolic Matrix(8777,-11192,1988,-2535) (51/40,88/69) -> (128/29,53/12) Hyperbolic Matrix(1985,-2538,822,-1051) (23/18,32/25) -> (70/29,29/12) Hyperbolic Matrix(749,-968,578,-747) (9/7,22/17) -> (22/17,35/27) Parabolic Matrix(5351,-6974,3386,-4413) (43/33,30/23) -> (128/81,49/31) Hyperbolic Matrix(10253,-13382,7376,-9627) (77/59,47/36) -> (139/100,57/41) Hyperbolic Matrix(5987,-7818,2436,-3181) (47/36,64/49) -> (86/35,59/24) Hyperbolic Matrix(1043,-1374,438,-577) (21/16,4/3) -> (50/21,81/34) Hyperbolic Matrix(3909,-5294,1160,-1571) (23/17,42/31) -> (64/19,91/27) Hyperbolic Matrix(1055,-1442,428,-585) (41/30,26/19) -> (32/13,5/2) Hyperbolic Matrix(557,-768,66,-91) (11/8,40/29) -> (8/1,17/2) Hyperbolic Matrix(19127,-26426,5600,-7737) (105/76,181/131) -> (181/53,41/12) Hyperbolic Matrix(28295,-39096,8286,-11449) (181/131,76/55) -> (140/41,181/53) Hyperbolic Matrix(6973,-9642,4026,-5567) (47/34,65/47) -> (71/41,97/56) Hyperbolic Matrix(6665,-9248,4802,-6663) (43/31,68/49) -> (68/49,93/67) Parabolic Matrix(2217,-3086,1370,-1907) (32/23,7/5) -> (89/55,34/21) Hyperbolic Matrix(6675,-9392,2528,-3557) (45/32,38/27) -> (66/25,169/64) Hyperbolic Matrix(4017,-5656,1522,-2143) (38/27,31/22) -> (95/36,66/25) Hyperbolic Matrix(4299,-6074,1940,-2741) (24/17,65/46) -> (31/14,82/37) Hyperbolic Matrix(1163,-1644,162,-229) (65/46,41/29) -> (7/1,29/4) Hyperbolic Matrix(3999,-5674,838,-1189) (61/43,44/31) -> (62/13,43/9) Hyperbolic Matrix(15055,-21372,6318,-8969) (44/31,115/81) -> (193/81,112/47) Hyperbolic Matrix(17567,-24942,3804,-5401) (115/81,71/50) -> (157/34,97/21) Hyperbolic Matrix(2803,-3982,1096,-1557) (71/50,27/19) -> (23/9,87/34) Hyperbolic Matrix(4959,-7052,1514,-2153) (27/19,64/45) -> (36/11,95/29) Hyperbolic Matrix(73739,-104882,51842,-73737) (64/45,229/161) -> (229/161,394/277) Parabolic Matrix(2575,-3664,934,-1329) (101/71,37/26) -> (11/4,69/25) Hyperbolic Matrix(2927,-4172,1286,-1833) (47/33,10/7) -> (66/29,107/47) Hyperbolic Matrix(737,-1058,512,-735) (10/7,23/16) -> (23/16,36/25) Parabolic Matrix(605,-876,96,-139) (13/9,29/20) -> (25/4,19/3) Hyperbolic Matrix(1751,-2540,668,-969) (29/20,16/11) -> (76/29,21/8) Hyperbolic Matrix(791,-1158,222,-325) (19/13,3/2) -> (57/16,25/7) Hyperbolic Matrix(10529,-16224,2886,-4447) (57/37,94/61) -> (62/17,135/37) Hyperbolic Matrix(6855,-10616,2816,-4361) (48/31,79/51) -> (129/53,56/23) Hyperbolic Matrix(8169,-12658,5170,-8011) (79/51,31/20) -> (79/50,207/131) Hyperbolic Matrix(1927,-2988,336,-521) (31/20,45/29) -> (63/11,23/4) Hyperbolic Matrix(3625,-5658,822,-1283) (39/25,64/41) -> (22/5,75/17) Hyperbolic Matrix(12101,-18944,3344,-5235) (36/23,119/76) -> (275/76,76/21) Hyperbolic Matrix(29699,-46506,8208,-12853) (119/76,83/53) -> (199/55,275/76) Hyperbolic Matrix(7385,-11568,3222,-5047) (83/53,47/30) -> (55/24,149/65) Hyperbolic Matrix(15193,-23806,6412,-10047) (47/30,105/67) -> (263/111,109/46) Hyperbolic Matrix(23791,-37594,8344,-13185) (207/131,128/81) -> (134/47,77/27) Hyperbolic Matrix(1903,-3010,514,-813) (49/31,19/12) -> (37/10,63/17) Hyperbolic Matrix(241,-384,150,-239) (19/12,8/5) -> (8/5,29/18) Parabolic Matrix(5911,-9532,1732,-2793) (79/49,50/31) -> (58/17,99/29) Hyperbolic Matrix(11671,-18828,3462,-5585) (50/31,121/75) -> (91/27,118/35) Hyperbolic Matrix(72467,-116916,30414,-49069) (121/75,313/194) -> (467/196,193/81) Hyperbolic Matrix(108729,-175426,45634,-73627) (313/194,192/119) -> (274/115,467/196) Hyperbolic Matrix(6655,-10738,1612,-2601) (192/119,71/44) -> (33/8,62/15) Hyperbolic Matrix(1731,-2794,298,-481) (71/44,21/13) -> (29/5,35/6) Hyperbolic Matrix(12013,-19422,3666,-5927) (97/60,76/47) -> (154/47,59/18) Hyperbolic Matrix(27983,-45260,12188,-19713) (186/115,55/34) -> (225/98,62/27) Hyperbolic Matrix(13467,-21790,3694,-5977) (144/89,89/55) -> (113/31,62/17) Hyperbolic Matrix(6549,-10612,2500,-4051) (81/50,47/29) -> (55/21,131/50) Hyperbolic Matrix(2589,-4198,922,-1495) (47/29,60/37) -> (14/5,59/21) Hyperbolic Matrix(2379,-3860,506,-821) (60/37,13/8) -> (47/10,80/17) Hyperbolic Matrix(28897,-47076,8544,-13919) (101/62,145/89) -> (301/89,115/34) Hyperbolic Matrix(24681,-40214,7298,-11891) (145/89,44/27) -> (186/55,301/89) Hyperbolic Matrix(7977,-13004,1928,-3143) (119/73,194/119) -> (62/15,29/7) Hyperbolic Matrix(11059,-18034,4774,-7785) (181/111,106/65) -> (44/19,95/41) Hyperbolic Matrix(16147,-26364,6162,-10061) (80/49,129/79) -> (207/79,76/29) Hyperbolic Matrix(7909,-12916,2074,-3387) (129/79,49/30) -> (61/16,103/27) Hyperbolic Matrix(7937,-12966,1422,-2323) (49/30,116/71) -> (106/19,67/12) Hyperbolic Matrix(8507,-13956,2334,-3829) (41/25,105/64) -> (51/14,113/31) Hyperbolic Matrix(6025,-9886,916,-1503) (105/64,64/39) -> (46/7,79/12) Hyperbolic Matrix(10857,-17846,4898,-8051) (23/14,97/59) -> (215/97,133/60) Hyperbolic Matrix(14513,-23864,6548,-10767) (97/59,74/45) -> (82/37,215/97) Hyperbolic Matrix(7037,-11606,2090,-3447) (61/37,33/20) -> (101/30,165/49) Hyperbolic Matrix(2843,-4802,1682,-2841) (27/16,49/29) -> (49/29,71/42) Parabolic Matrix(1419,-2404,376,-637) (22/13,39/23) -> (49/13,34/9) Hyperbolic Matrix(21371,-36426,8970,-15289) (196/115,75/44) -> (81/34,274/115) Hyperbolic Matrix(461,-788,86,-147) (29/17,12/7) -> (16/3,27/5) Hyperbolic Matrix(6365,-10952,3698,-6363) (43/25,74/43) -> (74/43,105/61) Parabolic Matrix(23053,-39738,6042,-10415) (131/76,181/105) -> (103/27,145/38) Hyperbolic Matrix(8591,-14810,2720,-4689) (181/105,50/29) -> (60/19,79/25) Hyperbolic Matrix(4567,-7914,1284,-2225) (123/71,26/15) -> (32/9,153/43) Hyperbolic Matrix(855,-1484,314,-545) (26/15,7/4) -> (49/18,30/11) Hyperbolic Matrix(2143,-3784,508,-897) (30/17,53/30) -> (59/14,38/9) Hyperbolic Matrix(3411,-6028,958,-1693) (53/30,23/13) -> (89/25,57/16) Hyperbolic Matrix(1267,-2244,450,-797) (23/13,39/22) -> (45/16,31/11) Hyperbolic Matrix(619,-1098,84,-149) (39/22,16/9) -> (22/3,15/2) Hyperbolic Matrix(701,-1250,392,-699) (16/9,25/14) -> (25/14,34/19) Parabolic Matrix(1523,-2766,582,-1057) (29/16,20/11) -> (34/13,89/34) Hyperbolic Matrix(359,-656,110,-201) (20/11,11/6) -> (13/4,36/11) Hyperbolic Matrix(821,-1518,192,-355) (24/13,13/7) -> (47/11,30/7) Hyperbolic Matrix(927,-1724,164,-305) (13/7,41/22) -> (79/14,17/3) Hyperbolic Matrix(423,-904,124,-265) (2/1,15/7) -> (17/5,58/17) Hyperbolic Matrix(743,-1598,272,-585) (15/7,13/6) -> (71/26,41/15) Hyperbolic Matrix(899,-1988,194,-429) (11/5,31/14) -> (37/8,51/11) Hyperbolic Matrix(217,-486,96,-215) (20/9,9/4) -> (9/4,34/15) Parabolic Matrix(6351,-14552,2228,-5105) (126/55,55/24) -> (57/20,134/47) Hyperbolic Matrix(23147,-53138,10082,-23145) (101/44,163/71) -> (163/71,225/98) Parabolic Matrix(9087,-20942,3470,-7997) (53/23,136/59) -> (254/97,55/21) Hyperbolic Matrix(20885,-48146,7976,-18387) (136/59,83/36) -> (199/76,254/97) Hyperbolic Matrix(1699,-3918,330,-761) (83/36,30/13) -> (36/7,31/6) Hyperbolic Matrix(3789,-8768,1436,-3323) (37/16,44/19) -> (124/47,95/36) Hyperbolic Matrix(13937,-32316,5406,-12535) (51/22,58/25) -> (446/173,165/64) Hyperbolic Matrix(1069,-2518,256,-603) (40/17,33/14) -> (25/6,46/11) Hyperbolic Matrix(905,-2136,186,-439) (59/25,26/11) -> (34/7,5/1) Hyperbolic Matrix(579,-1372,46,-109) (109/46,64/27) -> (12/1,1/0) Hyperbolic Matrix(5021,-11906,1064,-2523) (64/27,83/35) -> (33/7,118/25) Hyperbolic Matrix(2531,-6050,1058,-2529) (43/18,55/23) -> (55/23,67/28) Parabolic Matrix(3793,-9154,1120,-2703) (41/17,70/29) -> (44/13,105/31) Hyperbolic Matrix(7451,-18134,2612,-6357) (73/30,129/53) -> (77/27,97/34) Hyperbolic Matrix(5645,-13778,2312,-5643) (61/25,83/34) -> (83/34,105/43) Parabolic Matrix(617,-1568,242,-615) (5/2,28/11) -> (28/11,51/20) Parabolic Matrix(635,-1626,66,-169) (64/25,41/16) -> (19/2,10/1) Hyperbolic Matrix(1421,-3648,372,-955) (59/23,18/7) -> (42/11,65/17) Hyperbolic Matrix(1287,-3316,196,-505) (18/7,67/26) -> (13/2,46/7) Hyperbolic Matrix(5167,-13318,916,-2361) (67/26,116/45) -> (62/11,79/14) Hyperbolic Matrix(61259,-157922,23762,-61257) (116/45,281/109) -> (281/109,446/173) Parabolic Matrix(3071,-7926,828,-2137) (80/31,31/12) -> (89/24,26/7) Hyperbolic Matrix(1175,-3038,152,-393) (31/12,75/29) -> (23/3,31/4) Hyperbolic Matrix(1413,-3658,304,-787) (44/17,57/22) -> (65/14,14/3) Hyperbolic Matrix(1649,-4278,456,-1183) (57/22,13/5) -> (47/13,123/34) Hyperbolic Matrix(5451,-14282,1724,-4517) (131/50,207/79) -> (79/25,19/6) Hyperbolic Matrix(865,-2332,148,-399) (62/23,27/10) -> (35/6,6/1) Hyperbolic Matrix(1833,-4952,506,-1367) (27/10,73/27) -> (105/29,29/8) Hyperbolic Matrix(3751,-10366,850,-2349) (58/21,47/17) -> (75/17,128/29) Hyperbolic Matrix(1097,-3036,228,-631) (47/17,36/13) -> (24/5,53/11) Hyperbolic Matrix(5333,-14792,1922,-5331) (61/22,86/31) -> (86/31,111/40) Parabolic Matrix(6883,-22132,1462,-4701) (45/14,119/37) -> (193/41,113/24) Hyperbolic Matrix(7399,-23802,1572,-5057) (119/37,74/23) -> (80/17,193/41) Hyperbolic Matrix(1717,-5536,388,-1251) (29/9,71/22) -> (115/26,31/7) Hyperbolic Matrix(181,-600,54,-179) (23/7,10/3) -> (10/3,37/11) Parabolic Matrix(1033,-3490,214,-723) (27/8,71/21) -> (53/11,29/6) Hyperbolic Matrix(7395,-25054,2044,-6925) (105/31,61/18) -> (123/34,199/55) Hyperbolic Matrix(459,-1570,88,-301) (41/12,24/7) -> (26/5,21/4) Hyperbolic Matrix(2075,-7442,578,-2073) (43/12,61/17) -> (61/17,79/22) Parabolic Matrix(2437,-8872,370,-1347) (91/25,51/14) -> (79/12,33/5) Hyperbolic Matrix(2005,-7434,414,-1535) (63/17,89/24) -> (29/6,63/13) Hyperbolic Matrix(497,-1922,128,-495) (27/7,31/8) -> (31/8,35/9) Parabolic Matrix(449,-2048,98,-447) (9/2,32/7) -> (32/7,55/12) Parabolic Matrix(133,-726,24,-131) (27/5,11/2) -> (11/2,39/7) Parabolic Matrix(341,-2312,50,-339) (27/4,34/5) -> (34/5,41/6) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(1049,502,746,357) -> Matrix(1,0,-6,1) Matrix(2523,1198,596,283) -> Matrix(1,0,-6,1) Matrix(1033,488,-3842,-1815) -> Matrix(7,-2,18,-5) Matrix(587,276,738,347) -> Matrix(1,0,-2,1) Matrix(441,206,730,341) -> Matrix(5,-2,8,-3) Matrix(1315,612,-5838,-2717) -> Matrix(1,0,-6,1) Matrix(4229,1966,1310,609) -> Matrix(1,0,-8,1) Matrix(1599,742,584,271) -> Matrix(7,-2,4,-1) Matrix(2747,1264,1154,531) -> Matrix(9,-2,-22,5) Matrix(4757,2184,2886,1325) -> Matrix(35,-8,22,-5) Matrix(4181,1918,-10810,-4959) -> Matrix(25,-6,96,-23) Matrix(1723,788,-4454,-2037) -> Matrix(7,-2,32,-9) Matrix(2009,918,720,329) -> Matrix(15,-4,4,-1) Matrix(3279,1486,7562,3427) -> Matrix(5,-2,8,-3) Matrix(7271,3294,11838,5363) -> Matrix(11,-4,14,-5) Matrix(2139,968,1138,515) -> Matrix(1,0,0,1) Matrix(571,258,1848,835) -> Matrix(1,0,2,1) Matrix(1565,706,2414,1089) -> Matrix(5,2,2,1) Matrix(3265,1472,712,321) -> Matrix(1,0,16,1) Matrix(427,192,-1986,-893) -> Matrix(15,-2,38,-5) Matrix(709,318,1554,697) -> Matrix(1,0,-4,1) Matrix(991,444,-3252,-1457) -> Matrix(9,-2,32,-7) Matrix(1977,884,4654,2081) -> Matrix(11,-2,28,-5) Matrix(2393,1068,1974,881) -> Matrix(9,-2,32,-7) Matrix(1261,558,-6018,-2663) -> Matrix(47,-12,98,-25) Matrix(977,432,3078,1361) -> Matrix(23,-6,50,-13) Matrix(1817,802,836,369) -> Matrix(15,-4,4,-1) Matrix(1533,676,1118,493) -> Matrix(7,-2,4,-1) Matrix(1949,856,1250,549) -> Matrix(1,0,-2,1) Matrix(971,426,-5418,-2377) -> Matrix(5,-2,18,-7) Matrix(3749,1644,-13890,-6091) -> Matrix(1,0,0,1) Matrix(3751,1644,3192,1399) -> Matrix(1,0,0,1) Matrix(3047,1330,1244,543) -> Matrix(1,0,0,1) Matrix(10793,4708,3872,1689) -> Matrix(3,-2,2,-1) Matrix(10511,4584,14526,6335) -> Matrix(1,0,-2,1) Matrix(7605,3314,3316,1445) -> Matrix(1,0,-4,1) Matrix(4839,2108,7876,3431) -> Matrix(11,-4,14,-5) Matrix(1379,600,-3174,-1381) -> Matrix(1,0,4,1) Matrix(3585,1556,4684,2033) -> Matrix(9,-2,14,-3) Matrix(1513,656,-3854,-1671) -> Matrix(1,0,-2,1) Matrix(411,178,1928,835) -> Matrix(1,0,-6,1) Matrix(963,416,2470,1067) -> Matrix(29,-6,34,-7) Matrix(1223,520,1898,807) -> Matrix(37,-10,26,-7) Matrix(951,404,-4070,-1729) -> Matrix(7,-2,18,-5) Matrix(2165,918,408,173) -> Matrix(15,-4,4,-1) Matrix(949,402,-5550,-2351) -> Matrix(47,-12,98,-25) Matrix(11633,4926,18942,8021) -> Matrix(53,-14,72,-19) Matrix(8389,3552,2298,973) -> Matrix(23,-6,4,-1) Matrix(947,400,2564,1083) -> Matrix(29,-8,40,-11) Matrix(541,228,942,397) -> Matrix(7,-2,18,-5) Matrix(271,114,-1752,-737) -> Matrix(7,-2,-10,3) Matrix(1209,508,4172,1753) -> Matrix(7,-2,-10,3) Matrix(939,394,-3358,-1409) -> Matrix(1,0,0,1) Matrix(2953,1238,1882,789) -> Matrix(5,-2,8,-3) Matrix(5103,2138,6442,2699) -> Matrix(7,-2,-10,3) Matrix(1743,730,4028,1687) -> Matrix(7,-2,4,-1) Matrix(803,336,2550,1067) -> Matrix(19,-6,54,-17) Matrix(3081,1288,1208,505) -> Matrix(55,-18,52,-17) Matrix(3203,1330,932,387) -> Matrix(1,0,0,1) Matrix(535,222,-4668,-1937) -> Matrix(1,0,-6,1) Matrix(3201,1328,7330,3041) -> Matrix(1,0,-2,1) Matrix(1467,608,-4664,-1933) -> Matrix(1,0,2,1) Matrix(797,330,-3060,-1267) -> Matrix(1,0,2,1) Matrix(1727,714,-7578,-3133) -> Matrix(1,0,-10,1) Matrix(3059,1264,530,219) -> Matrix(13,-2,-6,1) Matrix(3319,1370,5182,2139) -> Matrix(11,-2,6,-1) Matrix(2521,1040,8632,3561) -> Matrix(1,0,-4,1) Matrix(1193,492,5046,2081) -> Matrix(9,-2,32,-7) Matrix(1591,654,4104,1687) -> Matrix(5,-2,8,-3) Matrix(9001,3696,14556,5977) -> Matrix(3,-4,4,-5) Matrix(8073,3314,2380,977) -> Matrix(1,0,-4,1) Matrix(795,326,-3836,-1573) -> Matrix(7,-2,18,-5) Matrix(1187,486,-2904,-1189) -> Matrix(17,-4,64,-15) Matrix(3821,1560,5538,2261) -> Matrix(7,-2,-24,7) Matrix(2897,1182,924,377) -> Matrix(7,-2,4,-1) Matrix(3163,1290,4872,1987) -> Matrix(43,-12,18,-5) Matrix(1973,802,524,213) -> Matrix(15,-4,4,-1) Matrix(2495,1012,392,159) -> Matrix(7,-2,4,-1) Matrix(1703,688,2354,951) -> Matrix(7,-2,4,-1) Matrix(2451,968,514,203) -> Matrix(1,0,0,1) Matrix(2317,914,-7856,-3099) -> Matrix(9,-4,16,-7) Matrix(641,252,-2826,-1111) -> Matrix(1,0,2,1) Matrix(12581,4936,7700,3021) -> Matrix(5,-4,4,-3) Matrix(2435,954,3336,1307) -> Matrix(1,0,0,1) Matrix(1151,450,642,251) -> Matrix(1,0,2,1) Matrix(2943,1148,4858,1895) -> Matrix(9,-2,14,-3) Matrix(2431,948,2172,847) -> Matrix(1,0,-6,1) Matrix(637,248,-2042,-795) -> Matrix(1,0,0,1) Matrix(381,148,1022,397) -> Matrix(9,-2,14,-3) Matrix(3819,1480,6242,2419) -> Matrix(43,-10,56,-13) Matrix(11841,4588,6878,2665) -> Matrix(33,-8,-4,1) Matrix(253,98,-2672,-1035) -> Matrix(7,-2,18,-5) Matrix(28745,11116,8774,3393) -> Matrix(7,-2,4,-1) Matrix(1397,540,-4830,-1867) -> Matrix(1,0,2,1) Matrix(3051,1178,1396,539) -> Matrix(9,-2,-4,1) Matrix(379,146,-1394,-537) -> Matrix(15,-4,34,-9) Matrix(1519,582,2148,823) -> Matrix(7,-2,18,-5) Matrix(3667,1404,6318,2419) -> Matrix(33,-10,76,-23) Matrix(4803,1838,4168,1595) -> Matrix(13,-4,-16,5) Matrix(2651,1014,8970,3431) -> Matrix(13,-4,10,-3) Matrix(1387,530,1264,483) -> Matrix(13,-4,10,-3) Matrix(4167,1592,-13760,-5257) -> Matrix(25,-8,72,-23) Matrix(8079,3086,-21962,-8389) -> Matrix(33,-10,142,-43) Matrix(6813,2602,15650,5977) -> Matrix(13,-4,-16,5) Matrix(1007,384,-2646,-1009) -> Matrix(37,-12,108,-35) Matrix(3273,1244,4528,1721) -> Matrix(17,-6,20,-7) Matrix(627,238,-2890,-1097) -> Matrix(1,0,0,1) Matrix(2261,856,626,237) -> Matrix(1,0,-2,1) Matrix(751,284,2134,807) -> Matrix(27,-10,46,-17) Matrix(625,236,2884,1089) -> Matrix(5,-2,-22,9) Matrix(1241,462,-4596,-1711) -> Matrix(1,0,2,1) Matrix(4717,1754,-16886,-6279) -> Matrix(5,4,16,13) Matrix(6453,2398,2360,877) -> Matrix(9,2,4,1) Matrix(1611,598,1118,415) -> Matrix(1,0,14,1) Matrix(989,366,1116,413) -> Matrix(1,0,-6,1) Matrix(6187,2288,5200,1923) -> Matrix(13,-2,20,-3) Matrix(2353,870,1236,457) -> Matrix(13,-2,20,-3) Matrix(1359,502,2228,823) -> Matrix(9,-2,14,-3) Matrix(6297,2318,4936,1817) -> Matrix(19,-4,24,-5) Matrix(1849,680,-7154,-2631) -> Matrix(17,-4,64,-15) Matrix(9249,3400,6662,2449) -> Matrix(57,-14,-4,1) Matrix(7767,2854,1358,499) -> Matrix(7,-2,4,-1) Matrix(2957,1086,4686,1721) -> Matrix(19,-6,16,-5) Matrix(16391,6016,6776,2487) -> Matrix(1,0,-4,1) Matrix(1723,632,-6404,-2349) -> Matrix(1,0,-2,1) Matrix(1845,676,494,181) -> Matrix(7,-2,4,-1) Matrix(1351,494,1846,675) -> Matrix(15,-4,34,-9) Matrix(3299,1194,1224,443) -> Matrix(13,-4,10,-3) Matrix(1709,618,5622,2033) -> Matrix(7,-2,18,-5) Matrix(3543,1280,-12824,-4633) -> Matrix(25,-8,72,-23) Matrix(1585,572,1222,441) -> Matrix(37,-12,34,-11) Matrix(367,132,-2316,-833) -> Matrix(5,-2,8,-3) Matrix(4993,1794,3042,1093) -> Matrix(1,0,-2,1) Matrix(485,174,2556,917) -> Matrix(9,-4,16,-7) Matrix(14951,5358,2676,959) -> Matrix(9,-4,-2,1) Matrix(17383,6228,7656,2743) -> Matrix(5,-2,-2,1) Matrix(2915,1044,7536,2699) -> Matrix(1,-2,2,-3) Matrix(847,302,244,87) -> Matrix(5,-2,8,-3) Matrix(1087,386,-3506,-1245) -> Matrix(1,0,2,1) Matrix(361,128,2056,729) -> Matrix(3,-2,8,-5) Matrix(481,170,-1808,-639) -> Matrix(1,0,0,1) Matrix(603,212,2284,803) -> Matrix(5,-2,8,-3) Matrix(843,296,-3728,-1309) -> Matrix(1,0,2,1) Matrix(3833,1338,1080,377) -> Matrix(1,0,-4,1) Matrix(5271,1838,3232,1127) -> Matrix(21,-4,16,-3) Matrix(837,290,1192,413) -> Matrix(1,0,2,1) Matrix(1145,366,804,257) -> Matrix(1,0,-6,1) Matrix(3083,978,5028,1595) -> Matrix(3,-4,4,-5) Matrix(4569,1448,3310,1049) -> Matrix(1,0,-2,1) Matrix(6603,2080,4784,1507) -> Matrix(1,0,-6,1) Matrix(2159,678,570,179) -> Matrix(7,-2,4,-1) Matrix(681,212,2830,881) -> Matrix(11,-2,28,-5) Matrix(1925,598,338,105) -> Matrix(9,-2,-4,1) Matrix(4861,1506,3954,1225) -> Matrix(33,-8,62,-15) Matrix(227,70,788,243) -> Matrix(7,-2,4,-1) Matrix(899,276,114,35) -> Matrix(1,0,-2,1) Matrix(20353,6236,12484,3825) -> Matrix(19,-6,16,-5) Matrix(14727,4510,6410,1963) -> Matrix(1,0,-2,1) Matrix(2361,722,448,137) -> Matrix(15,-4,4,-1) Matrix(2805,856,4604,1405) -> Matrix(1,0,-2,1) Matrix(2695,822,-11898,-3629) -> Matrix(7,-2,18,-5) Matrix(783,238,1010,307) -> Matrix(25,-8,22,-7) Matrix(11185,3386,-40046,-12123) -> Matrix(23,-8,72,-25) Matrix(7155,2164,2126,643) -> Matrix(5,-2,18,-7) Matrix(1119,338,3016,911) -> Matrix(11,-4,14,-5) Matrix(1667,496,1220,363) -> Matrix(9,-4,-2,1) Matrix(1663,494,1222,363) -> Matrix(7,-4,2,-1) Matrix(223,66,-2328,-689) -> Matrix(3,-2,8,-5) Matrix(5983,1770,5094,1507) -> Matrix(1,0,2,1) Matrix(5535,1636,3434,1015) -> Matrix(19,-6,16,-5) Matrix(6421,1896,9960,2941) -> Matrix(43,-20,28,-13) Matrix(10291,3038,14278,4215) -> Matrix(45,-22,88,-43) Matrix(13165,3884,21466,6333) -> Matrix(43,-24,52,-29) Matrix(4647,1370,-16814,-4957) -> Matrix(17,-10,46,-27) Matrix(1987,582,1212,355) -> Matrix(3,-2,2,-1) Matrix(5291,1548,1104,323) -> Matrix(1,0,2,1) Matrix(4631,1354,5510,1611) -> Matrix(1,2,0,1) Matrix(993,290,880,257) -> Matrix(1,0,2,1) Matrix(769,224,1102,321) -> Matrix(1,0,10,1) Matrix(7471,2166,3294,955) -> Matrix(17,-2,-8,1) Matrix(2305,668,-10652,-3087) -> Matrix(29,-4,80,-11) Matrix(769,222,-4278,-1235) -> Matrix(1,0,-2,1) Matrix(2501,706,542,153) -> Matrix(7,-2,46,-13) Matrix(1847,520,650,183) -> Matrix(33,-10,10,-3) Matrix(541,152,1954,549) -> Matrix(1,0,-2,1) Matrix(23163,6470,8116,2267) -> Matrix(53,-16,10,-3) Matrix(10715,2992,4652,1299) -> Matrix(13,-4,10,-3) Matrix(539,150,-1944,-541) -> Matrix(37,-12,108,-35) Matrix(5071,1404,3666,1015) -> Matrix(17,-6,20,-7) Matrix(13369,3696,5820,1609) -> Matrix(11,-4,36,-13) Matrix(11209,3098,7978,2205) -> Matrix(11,-4,-30,11) Matrix(9051,2500,-41812,-11549) -> Matrix(1,0,0,1) Matrix(3449,952,1076,297) -> Matrix(5,-2,-2,1) Matrix(7647,2108,2260,623) -> Matrix(11,-4,14,-5) Matrix(3551,978,4092,1127) -> Matrix(11,-4,36,-13) Matrix(5379,1480,3122,859) -> Matrix(27,-10,-8,3) Matrix(1827,502,1292,355) -> Matrix(5,-2,-2,1) Matrix(5245,1422,3102,841) -> Matrix(37,-18,-2,1) Matrix(1175,318,2568,695) -> Matrix(3,-2,8,-5) Matrix(963,260,3952,1067) -> Matrix(7,-2,18,-5) Matrix(319,86,-2348,-633) -> Matrix(3,-2,8,-5) Matrix(7999,2150,13762,3699) -> Matrix(17,-8,32,-15) Matrix(5227,1404,3198,859) -> Matrix(17,-10,12,-7) Matrix(853,228,318,85) -> Matrix(3,-2,2,-1) Matrix(3081,818,742,197) -> Matrix(1,-2,0,1) Matrix(1803,478,2018,535) -> Matrix(1,0,2,1) Matrix(4031,1068,2442,647) -> Matrix(3,-2,2,-1) Matrix(953,252,1698,449) -> Matrix(1,0,6,1) Matrix(2751,722,2008,527) -> Matrix(1,0,-4,1) Matrix(421,110,-2216,-579) -> Matrix(1,0,-2,1) Matrix(739,192,-4638,-1205) -> Matrix(1,0,-4,1) Matrix(12523,3240,7680,1987) -> Matrix(21,-4,16,-3) Matrix(1257,322,1784,457) -> Matrix(7,-2,32,-9) Matrix(1855,452,1342,327) -> Matrix(5,-2,8,-3) Matrix(4829,1162,1334,321) -> Matrix(19,-8,12,-5) Matrix(1333,318,306,73) -> Matrix(1,0,-4,1) Matrix(3783,898,2456,583) -> Matrix(29,-12,46,-19) Matrix(5725,1358,3478,825) -> Matrix(19,-8,12,-5) Matrix(407,96,-1734,-409) -> Matrix(9,-4,16,-7) Matrix(3159,740,508,119) -> Matrix(3,-2,-4,3) Matrix(1933,452,1732,405) -> Matrix(1,0,-2,1) Matrix(5697,1328,2338,545) -> Matrix(1,0,-2,1) Matrix(11181,2602,6914,1609) -> Matrix(21,-4,16,-3) Matrix(3147,730,1220,283) -> Matrix(7,-2,4,-1) Matrix(3849,884,910,209) -> Matrix(3,-2,-4,3) Matrix(3139,720,606,139) -> Matrix(3,-2,2,-1) Matrix(3947,904,2528,579) -> Matrix(1,-2,2,-3) Matrix(403,92,2326,531) -> Matrix(1,2,2,5) Matrix(5557,1266,2322,529) -> Matrix(1,0,12,1) Matrix(13009,2948,20374,4617) -> Matrix(37,-10,26,-7) Matrix(6451,1460,1816,411) -> Matrix(1,0,-2,1) Matrix(5537,1248,2418,545) -> Matrix(1,0,-2,1) Matrix(4831,1088,706,159) -> Matrix(1,0,6,1) Matrix(403,90,300,67) -> Matrix(7,-2,4,-1) Matrix(199,44,502,111) -> Matrix(7,-2,4,-1) Matrix(1899,416,598,131) -> Matrix(17,-6,-14,5) Matrix(2995,654,1296,283) -> Matrix(5,-2,8,-3) Matrix(3789,826,500,109) -> Matrix(5,-2,8,-3) Matrix(1397,304,2192,477) -> Matrix(7,-2,4,-1) Matrix(11451,2480,8362,1811) -> Matrix(11,-4,-8,3) Matrix(39123,8468,10252,2219) -> Matrix(67,-24,14,-5) Matrix(3085,666,894,193) -> Matrix(5,-2,18,-7) Matrix(7955,1714,2186,471) -> Matrix(1,0,-2,1) Matrix(1883,400,692,147) -> Matrix(21,-8,8,-3) Matrix(1879,398,694,147) -> Matrix(19,-8,12,-5) Matrix(13329,2798,5626,1181) -> Matrix(9,-4,-20,9) Matrix(13821,2900,8488,1781) -> Matrix(31,-14,20,-9) Matrix(3847,806,988,207) -> Matrix(33,-16,-2,1) Matrix(297,62,1576,329) -> Matrix(9,-4,16,-7) Matrix(885,184,986,205) -> Matrix(5,-2,8,-3) Matrix(1375,284,886,183) -> Matrix(23,-10,30,-13) Matrix(1739,336,678,131) -> Matrix(7,-6,6,-5) Matrix(1351,258,288,55) -> Matrix(1,0,2,1) Matrix(5005,948,8178,1549) -> Matrix(11,-4,14,-5) Matrix(287,54,-1536,-289) -> Matrix(1,0,4,1) Matrix(4507,840,3450,643) -> Matrix(11,-2,6,-1) Matrix(5459,1014,3354,623) -> Matrix(13,-4,10,-3) Matrix(2297,426,5268,977) -> Matrix(1,0,0,1) Matrix(10047,1856,7270,1343) -> Matrix(1,0,-2,1) Matrix(5641,1040,2392,441) -> Matrix(1,0,-4,1) Matrix(2769,508,1052,193) -> Matrix(11,-2,6,-1) Matrix(5519,994,2282,411) -> Matrix(1,0,-2,1) Matrix(3137,564,762,137) -> Matrix(5,-2,-2,1) Matrix(5797,1038,1614,289) -> Matrix(31,-10,28,-9) Matrix(853,152,1330,237) -> Matrix(1,0,-2,1) Matrix(757,132,1038,181) -> Matrix(5,-2,8,-3) Matrix(1227,212,1036,179) -> Matrix(5,-2,8,-3) Matrix(2073,356,658,113) -> Matrix(13,-6,-2,1) Matrix(4701,802,1694,289) -> Matrix(33,-16,-2,1) Matrix(1955,316,464,75) -> Matrix(7,-6,-8,7) Matrix(1951,314,466,75) -> Matrix(5,-6,-4,5) Matrix(10211,1630,4454,711) -> Matrix(1,-2,0,1) Matrix(1017,160,464,73) -> Matrix(1,0,0,1) Matrix(3511,548,1480,231) -> Matrix(1,0,0,1) Matrix(183,28,830,127) -> Matrix(1,0,8,1) Matrix(1561,236,1012,153) -> Matrix(17,-2,26,-3) Matrix(1191,178,368,55) -> Matrix(1,0,-6,1) Matrix(3111,458,2194,323) -> Matrix(1,0,-6,1) Matrix(7587,1112,4660,683) -> Matrix(13,-4,10,-3) Matrix(457,66,90,13) -> Matrix(7,-2,4,-1) Matrix(1265,174,996,137) -> Matrix(9,-4,16,-7) Matrix(179,24,-1350,-181) -> Matrix(17,-8,32,-15) Matrix(13479,1778,7816,1031) -> Matrix(3,-2,2,-1) Matrix(1797,236,2962,389) -> Matrix(13,-8,18,-11) Matrix(985,128,808,105) -> Matrix(3,-2,8,-5) Matrix(355,42,972,115) -> Matrix(5,-2,8,-3) Matrix(793,92,2560,297) -> Matrix(1,0,4,1) Matrix(3873,442,1586,181) -> Matrix(1,0,10,1) Matrix(437,48,264,29) -> Matrix(7,-2,4,-1) Matrix(2701,282,1044,109) -> Matrix(7,-2,4,-1) Matrix(1365,118,428,37) -> Matrix(1,0,-2,1) Matrix(1181,88,926,69) -> Matrix(1,-2,2,-3) Matrix(1495,-144,924,-89) -> Matrix(5,-4,4,-3) Matrix(493,-54,210,-23) -> Matrix(5,-2,-2,1) Matrix(839,-98,488,-57) -> Matrix(3,-2,2,-1) Matrix(1175,-152,3038,-393) -> Matrix(3,2,4,3) Matrix(1311,-172,1654,-217) -> Matrix(1,0,-2,1) Matrix(619,-84,1098,-149) -> Matrix(1,0,2,1) Matrix(1493,-222,612,-91) -> Matrix(1,0,-6,1) Matrix(1287,-194,272,-41) -> Matrix(1,0,-2,1) Matrix(1823,-284,674,-105) -> Matrix(7,-2,4,-1) Matrix(605,-96,876,-139) -> Matrix(1,0,-8,1) Matrix(1929,-332,3062,-527) -> Matrix(13,-4,10,-3) Matrix(1927,-336,2988,-521) -> Matrix(31,-14,20,-9) Matrix(3975,-706,3046,-541) -> Matrix(7,-2,4,-1) Matrix(1921,-342,264,-47) -> Matrix(5,-2,-2,1) Matrix(1123,-202,1918,-345) -> Matrix(13,-6,24,-11) Matrix(461,-86,788,-147) -> Matrix(3,-2,8,-5) Matrix(459,-88,1570,-301) -> Matrix(3,-2,2,-1) Matrix(905,-186,2136,-439) -> Matrix(1,0,2,1) Matrix(1097,-228,3036,-631) -> Matrix(1,-6,2,-11) Matrix(1225,-256,646,-135) -> Matrix(1,-2,2,-3) Matrix(3999,-838,5674,-1189) -> Matrix(1,2,4,9) Matrix(1287,-272,194,-41) -> Matrix(1,0,-2,1) Matrix(2379,-506,3860,-821) -> Matrix(3,2,4,3) Matrix(899,-194,1988,-429) -> Matrix(3,2,4,3) Matrix(4103,-888,1668,-361) -> Matrix(1,0,6,1) Matrix(449,-98,2048,-447) -> Matrix(1,0,28,1) Matrix(509,-114,192,-43) -> Matrix(11,-2,6,-1) Matrix(1079,-246,636,-145) -> Matrix(9,-2,-4,1) Matrix(569,-132,444,-103) -> Matrix(5,-2,8,-3) Matrix(2019,-476,632,-149) -> Matrix(1,0,-4,1) Matrix(2523,-598,2080,-493) -> Matrix(13,-4,36,-11) Matrix(1069,-256,2518,-603) -> Matrix(11,-4,36,-13) Matrix(4711,-1138,2074,-501) -> Matrix(11,-4,-8,3) Matrix(1547,-402,558,-145) -> Matrix(23,-12,2,-1) Matrix(2473,-646,1114,-291) -> Matrix(15,-8,2,-1) Matrix(2101,-552,864,-227) -> Matrix(7,-4,2,-1) Matrix(6787,-1794,2652,-701) -> Matrix(9,-8,8,-7) Matrix(2157,-572,494,-131) -> Matrix(7,-4,-12,7) Matrix(1169,-314,860,-231) -> Matrix(11,-6,2,-1) Matrix(553,-150,306,-83) -> Matrix(3,-2,8,-5) Matrix(1591,-438,672,-185) -> Matrix(3,-2,-4,3) Matrix(3911,-1080,612,-169) -> Matrix(3,-2,-4,3) Matrix(1649,-456,4278,-1183) -> Matrix(3,-2,2,-1) Matrix(1525,-426,426,-119) -> Matrix(1,-2,2,-3) Matrix(2803,-786,1644,-461) -> Matrix(1,0,0,1) Matrix(1763,-498,1278,-361) -> Matrix(1,0,-2,1) Matrix(1389,-404,1028,-299) -> Matrix(1,2,0,1) Matrix(6701,-1958,15452,-4515) -> Matrix(1,-2,2,-3) Matrix(423,-124,904,-265) -> Matrix(1,-2,2,-3) Matrix(6747,-1990,2770,-817) -> Matrix(1,0,-2,1) Matrix(3853,-1138,904,-267) -> Matrix(3,-2,-4,3) Matrix(21371,-6320,6320,-1869) -> Matrix(3,-4,4,-5) Matrix(2589,-766,7162,-2119) -> Matrix(1,-6,2,-11) Matrix(181,-54,600,-179) -> Matrix(1,0,4,1) Matrix(1555,-472,1018,-309) -> Matrix(9,-2,14,-3) Matrix(5623,-1708,9274,-2817) -> Matrix(29,-8,40,-11) Matrix(359,-110,656,-201) -> Matrix(1,0,-2,1) Matrix(5655,-1754,2144,-665) -> Matrix(11,-2,6,-1) Matrix(3451,-1072,1072,-333) -> Matrix(1,0,-6,1) Matrix(655,-204,594,-185) -> Matrix(7,-2,4,-1) Matrix(1485,-466,1246,-391) -> Matrix(1,0,-2,1) Matrix(6515,-2064,2844,-901) -> Matrix(5,-2,-2,1) Matrix(1359,-436,826,-265) -> Matrix(7,-2,4,-1) Matrix(1043,-362,752,-261) -> Matrix(19,-10,2,-1) Matrix(6467,-2270,3752,-1317) -> Matrix(3,-2,2,-1) Matrix(921,-326,404,-143) -> Matrix(3,-2,2,-1) Matrix(1091,-392,860,-309) -> Matrix(1,0,0,1) Matrix(1547,-558,402,-145) -> Matrix(23,-12,2,-1) Matrix(13917,-5036,5270,-1907) -> Matrix(11,-6,2,-1) Matrix(7443,-2696,1604,-581) -> Matrix(7,-4,30,-17) Matrix(7255,-2652,3198,-1169) -> Matrix(13,-8,-8,5) Matrix(2855,-1046,1826,-669) -> Matrix(13,-8,18,-11) Matrix(855,-314,1484,-545) -> Matrix(3,-2,14,-9) Matrix(1823,-674,284,-105) -> Matrix(3,-2,-4,3) Matrix(4553,-1688,7226,-2679) -> Matrix(9,-8,8,-7) Matrix(509,-192,114,-43) -> Matrix(3,-2,-10,7) Matrix(905,-344,734,-279) -> Matrix(11,-8,18,-13) Matrix(621,-238,394,-151) -> Matrix(1,0,0,1) Matrix(10807,-4170,2532,-977) -> Matrix(7,-4,-12,7) Matrix(2139,-826,4726,-1825) -> Matrix(1,0,0,1) Matrix(3037,-1174,3826,-1479) -> Matrix(3,-2,2,-1) Matrix(14279,-5532,5454,-2113) -> Matrix(7,-6,6,-5) Matrix(13769,-5340,5340,-2071) -> Matrix(17,-12,10,-7) Matrix(18825,-7304,13544,-5255) -> Matrix(3,-2,-4,3) Matrix(6631,-2574,1404,-545) -> Matrix(5,-4,14,-11) Matrix(5107,-1990,2302,-897) -> Matrix(19,-16,6,-5) Matrix(4487,-1752,1908,-745) -> Matrix(5,-4,-6,5) Matrix(6787,-2652,1794,-701) -> Matrix(9,-8,8,-7) Matrix(617,-242,1568,-615) -> Matrix(21,-20,20,-19) Matrix(1055,-428,1442,-585) -> Matrix(1,2,2,5) Matrix(2771,-1130,1052,-429) -> Matrix(3,-2,2,-1) Matrix(1493,-612,222,-91) -> Matrix(1,0,-6,1) Matrix(6747,-2770,1990,-817) -> Matrix(1,0,-2,1) Matrix(2101,-864,552,-227) -> Matrix(7,-4,2,-1) Matrix(717,-296,608,-251) -> Matrix(1,0,2,1) Matrix(607,-252,330,-137) -> Matrix(1,0,2,1) Matrix(1705,-714,714,-299) -> Matrix(1,0,-10,1) Matrix(4945,-2076,2856,-1199) -> Matrix(1,0,-6,1) Matrix(2141,-900,1758,-739) -> Matrix(1,0,-2,1) Matrix(1591,-672,438,-185) -> Matrix(7,-2,4,-1) Matrix(20659,-8748,7890,-3341) -> Matrix(7,-2,4,-1) Matrix(7177,-3042,2574,-1091) -> Matrix(3,-2,2,-1) Matrix(493,-210,54,-23) -> Matrix(5,-2,-2,1) Matrix(763,-328,328,-141) -> Matrix(1,0,-2,1) Matrix(14495,-6254,4304,-1857) -> Matrix(11,-6,24,-13) Matrix(7951,-3436,1798,-777) -> Matrix(3,-2,-4,3) Matrix(12675,-5498,2612,-1133) -> Matrix(3,-2,2,-1) Matrix(13709,-5948,2828,-1227) -> Matrix(1,-2,2,-3) Matrix(3425,-1488,2502,-1087) -> Matrix(1,0,-2,1) Matrix(4565,-1986,816,-355) -> Matrix(1,-4,0,1) Matrix(6357,-2770,2770,-1207) -> Matrix(1,0,-4,1) Matrix(7385,-3222,11568,-5047) -> Matrix(5,-4,4,-3) Matrix(6515,-2844,2064,-901) -> Matrix(5,-2,-2,1) Matrix(921,-404,326,-143) -> Matrix(3,-2,2,-1) Matrix(217,-96,486,-215) -> Matrix(9,-4,16,-7) Matrix(7107,-3190,4360,-1957) -> Matrix(27,-16,22,-13) Matrix(5597,-2514,2046,-919) -> Matrix(19,-12,8,-5) Matrix(2473,-1114,646,-291) -> Matrix(15,-8,2,-1) Matrix(4299,-1940,6074,-2741) -> Matrix(3,-2,14,-9) Matrix(4295,-1946,1556,-705) -> Matrix(11,-6,2,-1) Matrix(1015,-466,856,-393) -> Matrix(3,-2,8,-5) Matrix(1333,-618,852,-395) -> Matrix(13,-8,18,-11) Matrix(633,-302,1004,-479) -> Matrix(9,-8,8,-7) Matrix(1225,-646,256,-135) -> Matrix(1,-2,2,-3) Matrix(2241,-1190,1580,-839) -> Matrix(1,0,-2,1) Matrix(1271,-680,914,-489) -> Matrix(1,-4,0,1) Matrix(607,-330,252,-137) -> Matrix(1,0,2,1) Matrix(2519,-1382,1460,-801) -> Matrix(1,-2,0,1) Matrix(553,-306,150,-83) -> Matrix(1,2,0,1) Matrix(701,-392,1250,-699) -> Matrix(1,0,12,1) Matrix(3643,-2052,648,-365) -> Matrix(9,-2,-4,1) Matrix(2493,-1408,1096,-619) -> Matrix(1,0,-4,1) Matrix(299,-170,248,-141) -> Matrix(1,0,0,1) Matrix(841,-486,642,-371) -> Matrix(7,-2,4,-1) Matrix(2271,-1316,692,-401) -> Matrix(5,-2,-2,1) Matrix(6467,-3752,2270,-1317) -> Matrix(3,-2,2,-1) Matrix(6365,-3698,10952,-6363) -> Matrix(33,-16,64,-31) Matrix(839,-488,98,-57) -> Matrix(3,-2,2,-1) Matrix(9837,-5762,4280,-2507) -> Matrix(3,-2,8,-5) Matrix(2901,-1700,2558,-1499) -> Matrix(3,-2,2,-1) Matrix(787,-462,540,-317) -> Matrix(1,0,2,1) Matrix(1079,-636,246,-145) -> Matrix(5,-2,-12,5) Matrix(245,-146,146,-87) -> Matrix(7,-4,2,-1) Matrix(12041,-7302,5196,-3151) -> Matrix(13,-10,4,-3) Matrix(1359,-826,436,-265) -> Matrix(3,-2,-4,3) Matrix(4947,-3008,3008,-1829) -> Matrix(7,-6,6,-5) Matrix(16477,-10042,3490,-2127) -> Matrix(3,-2,8,-5) Matrix(1647,-1004,146,-89) -> Matrix(3,-2,-4,3) Matrix(6097,-3732,5370,-3287) -> Matrix(5,-4,4,-3) Matrix(2321,-1422,1500,-919) -> Matrix(23,-18,32,-25) Matrix(58939,-36144,17502,-10733) -> Matrix(7,-6,20,-17) Matrix(8121,-4982,3578,-2195) -> Matrix(5,-4,-6,5) Matrix(8265,-5074,5074,-3115) -> Matrix(5,-4,4,-3) Matrix(10229,-6306,2172,-1339) -> Matrix(3,-2,2,-1) Matrix(8347,-5148,3666,-2261) -> Matrix(5,-4,4,-3) Matrix(2073,-1280,1592,-983) -> Matrix(9,-8,8,-7) Matrix(2217,-1370,3086,-1907) -> Matrix(13,-10,30,-23) Matrix(31571,-19520,19520,-12069) -> Matrix(169,-136,128,-103) Matrix(2169,-1342,2746,-1699) -> Matrix(5,-4,-6,5) Matrix(241,-150,384,-239) -> Matrix(13,-12,12,-11) Matrix(33685,-21228,14832,-9347) -> Matrix(7,-8,-6,7) Matrix(90239,-56870,25358,-15981) -> Matrix(5,-6,16,-19) Matrix(80189,-50538,22536,-14203) -> Matrix(5,-6,-4,5) Matrix(6889,-4342,4498,-2835) -> Matrix(13,-16,22,-27) Matrix(20089,-12670,5884,-3711) -> Matrix(5,-6,-4,5) Matrix(621,-394,238,-151) -> Matrix(1,0,0,1) Matrix(7191,-4588,4666,-2977) -> Matrix(19,-26,30,-41) Matrix(18707,-11946,4380,-2797) -> Matrix(7,-10,-16,23) Matrix(18897,-12070,4426,-2827) -> Matrix(9,-14,-16,25) Matrix(2855,-1826,1046,-669) -> Matrix(5,-8,2,-3) Matrix(8035,-5148,3042,-1949) -> Matrix(1,0,0,1) Matrix(2321,-1500,1422,-919) -> Matrix(11,-18,8,-13) Matrix(7191,-4666,4588,-2977) -> Matrix(11,-26,14,-33) Matrix(897,-584,662,-431) -> Matrix(1,0,0,1) Matrix(787,-540,462,-317) -> Matrix(1,0,2,1) Matrix(2771,-1910,1754,-1209) -> Matrix(13,4,16,5) Matrix(9275,-6402,7338,-5065) -> Matrix(1,0,6,1) Matrix(737,-512,1058,-735) -> Matrix(1,0,28,1) Matrix(2705,-1898,962,-675) -> Matrix(11,-2,6,-1) Matrix(13603,-9562,2932,-2061) -> Matrix(1,0,0,1) Matrix(23129,-16260,16260,-11431) -> Matrix(1,0,-4,1) Matrix(9479,-6666,5496,-3865) -> Matrix(13,-2,-6,1) Matrix(7095,-4996,1876,-1321) -> Matrix(1,0,-4,1) Matrix(11807,-8316,4806,-3385) -> Matrix(1,0,-2,1) Matrix(16567,-11670,9564,-6737) -> Matrix(1,0,-6,1) Matrix(2241,-1580,1190,-839) -> Matrix(1,0,-2,1) Matrix(5893,-4170,1050,-743) -> Matrix(9,-2,-4,1) Matrix(13061,-9246,5892,-4171) -> Matrix(15,-4,4,-1) Matrix(1049,-744,822,-583) -> Matrix(5,-2,8,-3) Matrix(499,-358,46,-33) -> Matrix(5,-2,-2,1) Matrix(1271,-914,680,-489) -> Matrix(9,-4,16,-7) Matrix(6665,-4802,9248,-6663) -> Matrix(73,-36,144,-71) Matrix(1043,-752,362,-261) -> Matrix(19,-10,2,-1) Matrix(8737,-6318,3666,-2651) -> Matrix(1,0,-4,1) Matrix(5249,-3800,3800,-2751) -> Matrix(1,0,-2,1) Matrix(1763,-1278,498,-361) -> Matrix(1,0,-2,1) Matrix(1085,-788,632,-459) -> Matrix(1,0,-2,1) Matrix(3425,-2502,1488,-1087) -> Matrix(1,0,-2,1) Matrix(5001,-3656,1082,-791) -> Matrix(5,-2,28,-11) Matrix(1169,-860,314,-231) -> Matrix(11,-6,2,-1) Matrix(897,-662,584,-431) -> Matrix(1,0,0,1) Matrix(1389,-1028,404,-299) -> Matrix(3,-2,8,-5) Matrix(841,-642,486,-371) -> Matrix(3,-2,-4,3) Matrix(11219,-8592,2430,-1861) -> Matrix(3,-2,14,-9) Matrix(3975,-3046,706,-541) -> Matrix(3,-2,-4,3) Matrix(2073,-1592,1280,-983) -> Matrix(9,-8,8,-7) Matrix(749,-578,968,-747) -> Matrix(21,-20,20,-19) Matrix(569,-444,132,-103) -> Matrix(1,-2,0,1) Matrix(1049,-822,744,-583) -> Matrix(1,-2,0,1) Matrix(1091,-860,392,-309) -> Matrix(1,0,0,1) Matrix(10367,-8196,6012,-4753) -> Matrix(1,-2,0,1) Matrix(18335,-14502,10758,-8509) -> Matrix(1,0,0,1) Matrix(3223,-2550,522,-413) -> Matrix(1,0,-2,1) Matrix(905,-734,344,-279) -> Matrix(3,-8,2,-5) Matrix(473,-386,386,-315) -> Matrix(1,0,2,1) Matrix(2141,-1758,900,-739) -> Matrix(1,0,-2,1) Matrix(1541,-1268,1112,-915) -> Matrix(1,4,0,1) Matrix(299,-248,170,-141) -> Matrix(1,0,0,1) Matrix(1485,-1246,466,-391) -> Matrix(1,0,-2,1) Matrix(2075,-1746,1356,-1141) -> Matrix(1,-4,2,-7) Matrix(1015,-856,466,-393) -> Matrix(1,2,0,1) Matrix(717,-608,296,-251) -> Matrix(1,0,2,1) Matrix(1215,-1048,502,-433) -> Matrix(1,0,-2,1) Matrix(3005,-2612,2378,-2067) -> Matrix(5,-2,8,-3) Matrix(1167,-1016,626,-545) -> Matrix(1,0,0,1) Matrix(3489,-3062,956,-839) -> Matrix(1,2,0,1) Matrix(2739,-2408,2408,-2117) -> Matrix(1,0,4,1) Matrix(2777,-2448,498,-439) -> Matrix(9,-4,-2,1) Matrix(655,-594,204,-185) -> Matrix(3,-2,-4,3) Matrix(17083,-19420,12010,-13653) -> Matrix(1,0,6,1) Matrix(6307,-7186,2662,-3033) -> Matrix(1,0,-4,1) Matrix(1815,-2086,1306,-1501) -> Matrix(1,-4,0,1) Matrix(1341,-1544,218,-251) -> Matrix(1,2,-2,-3) Matrix(253,-294,216,-251) -> Matrix(1,0,4,1) Matrix(2887,-3430,856,-1017) -> Matrix(3,-2,8,-5) Matrix(1957,-2334,462,-551) -> Matrix(1,0,-2,1) Matrix(4867,-5898,2856,-3461) -> Matrix(1,0,-2,1) Matrix(809,-984,282,-343) -> Matrix(11,-6,2,-1) Matrix(3011,-3698,2450,-3009) -> Matrix(33,-16,64,-31) Matrix(941,-1164,384,-475) -> Matrix(3,-2,8,-5) Matrix(3037,-3826,1174,-1479) -> Matrix(3,-2,2,-1) Matrix(1311,-1654,172,-217) -> Matrix(1,0,-2,1) Matrix(9439,-11934,2652,-3353) -> Matrix(1,0,0,1) Matrix(2169,-2746,1342,-1699) -> Matrix(13,-4,10,-3) Matrix(4053,-5150,1718,-2183) -> Matrix(3,-2,2,-1) Matrix(3943,-5026,892,-1137) -> Matrix(3,-2,-4,3) Matrix(8777,-11192,1988,-2535) -> Matrix(3,-2,-16,11) Matrix(1985,-2538,822,-1051) -> Matrix(3,-2,2,-1) Matrix(749,-968,578,-747) -> Matrix(21,-20,20,-19) Matrix(5351,-6974,3386,-4413) -> Matrix(7,-8,8,-9) Matrix(10253,-13382,7376,-9627) -> Matrix(11,-16,-2,3) Matrix(5987,-7818,2436,-3181) -> Matrix(1,-2,4,-7) Matrix(1043,-1374,438,-577) -> Matrix(1,-2,-2,5) Matrix(3909,-5294,1160,-1571) -> Matrix(1,-2,2,-3) Matrix(1055,-1442,428,-585) -> Matrix(1,2,2,5) Matrix(557,-768,66,-91) -> Matrix(1,2,0,1) Matrix(19127,-26426,5600,-7737) -> Matrix(1,0,6,1) Matrix(28295,-39096,8286,-11449) -> Matrix(1,0,-6,1) Matrix(6973,-9642,4026,-5567) -> Matrix(1,0,-2,1) Matrix(6665,-9248,4802,-6663) -> Matrix(1,-36,0,1) Matrix(2217,-3086,1370,-1907) -> Matrix(3,10,2,7) Matrix(6675,-9392,2528,-3557) -> Matrix(5,2,2,1) Matrix(4017,-5656,1522,-2143) -> Matrix(3,-2,2,-1) Matrix(4299,-6074,1940,-2741) -> Matrix(5,2,2,1) Matrix(1163,-1644,162,-229) -> Matrix(1,0,2,1) Matrix(3999,-5674,838,-1189) -> Matrix(5,2,12,5) Matrix(15055,-21372,6318,-8969) -> Matrix(1,0,0,1) Matrix(17567,-24942,3804,-5401) -> Matrix(1,0,8,1) Matrix(2803,-3982,1096,-1557) -> Matrix(23,8,20,7) Matrix(4959,-7052,1514,-2153) -> Matrix(1,0,4,1) Matrix(73739,-104882,51842,-73737) -> Matrix(1,0,20,1) Matrix(2575,-3664,934,-1329) -> Matrix(9,4,2,1) Matrix(2927,-4172,1286,-1833) -> Matrix(1,0,4,1) Matrix(737,-1058,512,-735) -> Matrix(1,0,28,1) Matrix(605,-876,96,-139) -> Matrix(1,0,-8,1) Matrix(1751,-2540,668,-969) -> Matrix(21,-4,16,-3) Matrix(791,-1158,222,-325) -> Matrix(1,0,-2,1) Matrix(10529,-16224,2886,-4447) -> Matrix(19,-12,8,-5) Matrix(6855,-10616,2816,-4361) -> Matrix(3,-2,-4,3) Matrix(8169,-12658,5170,-8011) -> Matrix(25,-18,32,-23) Matrix(1927,-2988,336,-521) -> Matrix(19,-14,-4,3) Matrix(3625,-5658,822,-1283) -> Matrix(3,-2,-10,7) Matrix(12101,-18944,3344,-5235) -> Matrix(17,-12,10,-7) Matrix(29699,-46506,8208,-12853) -> Matrix(79,-60,54,-41) Matrix(7385,-11568,3222,-5047) -> Matrix(5,-4,4,-3) Matrix(15193,-23806,6412,-10047) -> Matrix(5,-4,-6,5) Matrix(23791,-37594,8344,-13185) -> Matrix(19,-16,6,-5) Matrix(1903,-3010,514,-813) -> Matrix(13,-10,4,-3) Matrix(241,-384,150,-239) -> Matrix(13,-12,12,-11) Matrix(5911,-9532,1732,-2793) -> Matrix(5,-6,6,-7) Matrix(11671,-18828,3462,-5585) -> Matrix(5,-6,16,-19) Matrix(72467,-116916,30414,-49069) -> Matrix(5,-6,-4,5) Matrix(108729,-175426,45634,-73627) -> Matrix(5,-6,-24,29) Matrix(6655,-10738,1612,-2601) -> Matrix(7,-8,-6,7) Matrix(1731,-2794,298,-481) -> Matrix(7,-8,-6,7) Matrix(12013,-19422,3666,-5927) -> Matrix(3,-4,4,-5) Matrix(27983,-45260,12188,-19713) -> Matrix(3,-4,52,-69) Matrix(13467,-21790,3694,-5977) -> Matrix(1,-2,2,-3) Matrix(6549,-10612,2500,-4051) -> Matrix(1,0,0,1) Matrix(2589,-4198,922,-1495) -> Matrix(1,-2,2,-3) Matrix(2379,-3860,506,-821) -> Matrix(1,-2,4,-7) Matrix(28897,-47076,8544,-13919) -> Matrix(7,-6,6,-5) Matrix(24681,-40214,7298,-11891) -> Matrix(13,-14,14,-15) Matrix(7977,-13004,1928,-3143) -> Matrix(7,-8,-6,7) Matrix(11059,-18034,4774,-7785) -> Matrix(19,-24,4,-5) Matrix(16147,-26364,6162,-10061) -> Matrix(1,0,0,1) Matrix(7909,-12916,2074,-3387) -> Matrix(5,-8,2,-3) Matrix(7937,-12966,1422,-2323) -> Matrix(11,-16,-2,3) Matrix(8507,-13956,2334,-3829) -> Matrix(5,-8,2,-3) Matrix(6025,-9886,916,-1503) -> Matrix(1,-2,-2,5) Matrix(10857,-17846,4898,-8051) -> Matrix(1,2,0,1) Matrix(14513,-23864,6548,-10767) -> Matrix(11,-14,4,-5) Matrix(7037,-11606,2090,-3447) -> Matrix(5,-8,12,-19) Matrix(2843,-4802,1682,-2841) -> Matrix(1,-36,0,1) Matrix(1419,-2404,376,-637) -> Matrix(1,6,0,1) Matrix(21371,-36426,8970,-15289) -> Matrix(1,0,-4,1) Matrix(461,-788,86,-147) -> Matrix(1,2,0,1) Matrix(6365,-10952,3698,-6363) -> Matrix(1,-16,0,1) Matrix(23053,-39738,6042,-10415) -> Matrix(9,22,2,5) Matrix(8591,-14810,2720,-4689) -> Matrix(1,0,0,1) Matrix(4567,-7914,1284,-2225) -> Matrix(1,0,2,1) Matrix(855,-1484,314,-545) -> Matrix(5,2,2,1) Matrix(2143,-3784,508,-897) -> Matrix(3,4,-4,-5) Matrix(3411,-6028,958,-1693) -> Matrix(1,0,2,1) Matrix(1267,-2244,450,-797) -> Matrix(5,2,2,1) Matrix(619,-1098,84,-149) -> Matrix(1,0,2,1) Matrix(701,-1250,392,-699) -> Matrix(1,0,12,1) Matrix(1523,-2766,582,-1057) -> Matrix(5,-4,4,-3) Matrix(359,-656,110,-201) -> Matrix(1,0,-2,1) Matrix(821,-1518,192,-355) -> Matrix(1,0,-4,1) Matrix(927,-1724,164,-305) -> Matrix(5,-2,-2,1) Matrix(423,-904,124,-265) -> Matrix(1,-2,2,-3) Matrix(743,-1598,272,-585) -> Matrix(1,0,0,1) Matrix(899,-1988,194,-429) -> Matrix(1,-2,4,-7) Matrix(217,-486,96,-215) -> Matrix(1,-4,0,1) Matrix(6351,-14552,2228,-5105) -> Matrix(1,4,0,1) Matrix(23147,-53138,10082,-23145) -> Matrix(1,0,28,1) Matrix(9087,-20942,3470,-7997) -> Matrix(5,-4,4,-3) Matrix(20885,-48146,7976,-18387) -> Matrix(1,0,0,1) Matrix(1699,-3918,330,-761) -> Matrix(1,0,0,1) Matrix(3789,-8768,1436,-3323) -> Matrix(3,-8,2,-5) Matrix(13937,-32316,5406,-12535) -> Matrix(3,-50,2,-33) Matrix(1069,-2518,256,-603) -> Matrix(5,4,-4,-3) Matrix(905,-2136,186,-439) -> Matrix(1,0,2,1) Matrix(579,-1372,46,-109) -> Matrix(1,0,2,1) Matrix(5021,-11906,1064,-2523) -> Matrix(1,0,2,1) Matrix(2531,-6050,1058,-2529) -> Matrix(1,0,28,1) Matrix(3793,-9154,1120,-2703) -> Matrix(3,-2,2,-1) Matrix(7451,-18134,2612,-6357) -> Matrix(9,4,2,1) Matrix(5645,-13778,2312,-5643) -> Matrix(1,0,20,1) Matrix(617,-1568,242,-615) -> Matrix(21,-20,20,-19) Matrix(635,-1626,66,-169) -> Matrix(5,-6,-4,5) Matrix(1421,-3648,372,-955) -> Matrix(19,-24,4,-5) Matrix(1287,-3316,196,-505) -> Matrix(3,-4,-8,11) Matrix(5167,-13318,916,-2361) -> Matrix(11,-16,-2,3) Matrix(61259,-157922,23762,-61257) -> Matrix(193,-288,128,-191) Matrix(3071,-7926,828,-2137) -> Matrix(5,-8,2,-3) Matrix(1175,-3038,152,-393) -> Matrix(1,-2,4,-7) Matrix(1413,-3658,304,-787) -> Matrix(1,-2,4,-7) Matrix(1649,-4278,456,-1183) -> Matrix(3,-2,2,-1) Matrix(5451,-14282,1724,-4517) -> Matrix(5,-6,-4,5) Matrix(865,-2332,148,-399) -> Matrix(3,-4,-2,3) Matrix(1833,-4952,506,-1367) -> Matrix(1,0,0,1) Matrix(3751,-10366,850,-2349) -> Matrix(1,-4,-4,17) Matrix(1097,-3036,228,-631) -> Matrix(1,-6,2,-11) Matrix(5333,-14792,1922,-5331) -> Matrix(1,-32,0,1) Matrix(6883,-22132,1462,-4701) -> Matrix(7,4,12,7) Matrix(7399,-23802,1572,-5057) -> Matrix(9,4,20,9) Matrix(1717,-5536,388,-1251) -> Matrix(1,0,0,1) Matrix(181,-600,54,-179) -> Matrix(1,0,4,1) Matrix(1033,-3490,214,-723) -> Matrix(1,0,0,1) Matrix(7395,-25054,2044,-6925) -> Matrix(3,4,2,3) Matrix(459,-1570,88,-301) -> Matrix(3,-2,2,-1) Matrix(2075,-7442,578,-2073) -> Matrix(21,-20,20,-19) Matrix(2437,-8872,370,-1347) -> Matrix(1,-2,0,1) Matrix(2005,-7434,414,-1535) -> Matrix(1,-4,2,-7) Matrix(497,-1922,128,-495) -> Matrix(1,-32,0,1) Matrix(449,-2048,98,-447) -> Matrix(1,0,28,1) Matrix(133,-726,24,-131) -> Matrix(1,-8,0,1) Matrix(341,-2312,50,-339) -> Matrix(1,0,20,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 174 Degree of the the map X: 174 Degree of the the map Y: 672 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 672 Minimal number of generators: 113 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 48 Genus: 33 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 2/11 1/5 3/10 4/9 1/2 5/8 6/7 1/1 7/6 22/17 7/5 23/16 8/5 49/29 74/43 25/14 2/1 9/4 136/59 28/11 13/5 11/4 3/1 16/5 119/37 10/3 7/2 51/14 11/3 31/8 4/1 13/3 22/5 53/12 9/2 32/7 14/3 5/1 16/3 11/2 6/1 13/2 34/5 7/1 8/1 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 0/1 0/1 1/2 1/8 1/1 1/7 0/1 1/0 1/6 1/3 1/2 2/11 1/2 1/5 1/1 4/19 -1/1 0/1 7/33 0/1 1/0 3/14 -1/1 0/1 2/9 0/1 1/6 5/22 1/5 3/13 2/7 1/3 1/4 2/5 1/2 4/15 1/2 2/3 7/26 3/5 3/11 2/3 1/1 2/7 1/1 7/24 0/1 1/2 5/17 0/1 1/1 3/10 0/1 4/13 0/1 1/3 9/29 0/1 1/4 5/16 1/3 1/3 1/3 1/2 6/17 3/5 2/3 5/14 1/2 2/3 9/25 2/5 1/2 13/36 1/2 6/11 4/11 3/5 7/19 2/3 3/8 1/2 2/3 11/29 2/3 3/4 8/21 3/4 4/5 5/13 1/1 12/31 3/4 1/1 19/49 2/3 3/4 7/18 4/5 1/1 2/5 1/1 1/0 9/22 -1/2 0/1 16/39 0/1 1/3 7/17 1/1 12/29 0/1 1/1 5/12 -1/1 0/1 3/7 0/1 1/2 13/30 1/2 1/1 10/23 1/1 7/16 0/1 1/3 4/9 1/2 5/11 2/3 1/1 6/13 1/2 2/3 1/2 1/1 7/13 0/1 1/0 6/11 0/1 1/1 11/20 0/1 1/2 5/9 -1/1 0/1 4/7 0/1 1/2 7/12 0/1 1/2 3/5 1/2 2/3 17/28 1/1 31/51 3/4 1/1 14/23 2/3 1/1 11/18 2/3 3/4 8/13 1/1 5/8 1/1 7/11 1/1 30/47 4/3 3/2 23/36 3/2 2/1 16/25 1/1 2/1 9/14 1/1 4/3 2/3 0/1 1/0 7/10 0/1 1/7 5/7 1/3 18/25 7/15 1/2 13/18 1/2 2/3 8/11 0/1 1/2 19/26 1/3 11/15 1/2 3/4 1/2 1/1 7/9 1/1 4/3 4/5 1/1 13/16 4/1 1/0 9/11 0/1 1/0 5/6 0/1 1/0 6/7 0/1 7/8 1/1 1/1 0/1 1/1 7/6 0/1 6/5 0/1 1/2 5/4 1/1 14/11 2/3 1/1 23/18 2/3 1/1 9/7 4/5 1/1 22/17 1/1 13/10 1/1 6/5 4/3 1/1 1/0 15/11 1/0 11/8 0/1 1/0 7/5 -1/1 24/17 -1/1 0/1 17/12 -1/2 0/1 10/7 -1/5 0/1 23/16 0/1 13/9 0/1 1/9 3/2 0/1 1/2 14/9 4/5 1/1 25/16 2/3 1/1 36/23 2/3 3/4 11/7 1/1 8/5 1/1 13/8 1/1 18/11 3/2 2/1 23/14 1/1 2/1 28/17 1/1 5/3 2/1 1/0 27/16 11/1 1/0 49/29 1/0 22/13 -7/1 1/0 17/10 -1/1 12/7 0/1 1/0 43/25 4/1 1/0 74/43 1/0 31/18 -4/1 1/0 19/11 -1/1 7/4 0/1 1/0 16/9 -1/3 0/1 25/14 0/1 9/5 0/1 1/3 29/16 1/1 20/11 0/1 1/0 11/6 0/1 1/1 24/13 0/1 1/3 13/7 0/1 1/2 2/1 1/1 13/6 2/1 1/0 11/5 1/1 2/1 9/4 1/0 16/7 -1/1 0/1 23/10 1/1 53/23 0/1 1/1 136/59 1/1 83/36 1/1 2/1 30/13 1/1 1/0 7/3 0/1 1/0 26/11 -1/1 0/1 45/19 -1/1 0/1 64/27 0/1 19/8 -1/1 12/5 0/1 1/3 41/17 0/1 1/2 29/12 0/1 1/1 17/7 1/1 5/2 1/2 1/1 28/11 1/1 23/9 1/1 9/8 18/7 1/1 4/3 67/26 7/5 49/19 3/2 2/1 31/12 1/1 3/2 13/5 1/1 21/8 4/3 3/2 50/19 5/3 29/11 3/2 2/1 66/25 2/1 37/14 1/1 8/3 2/1 1/0 19/7 2/1 30/11 2/1 3/1 11/4 3/1 14/5 2/1 1/0 17/6 2/1 3/1 20/7 5/1 3/1 -1/1 1/0 16/5 -1/1 45/14 -2/3 -1/2 119/37 -1/2 74/23 -1/2 -2/5 29/9 -1/2 0/1 13/4 -1/1 0/1 10/3 0/1 17/5 0/1 1/1 24/7 0/1 1/0 7/2 1/1 18/5 1/1 4/3 29/8 1/1 2/1 40/11 1/1 51/14 2/1 62/17 2/1 1/0 11/3 1/1 2/1 37/10 2/1 5/2 26/7 3/1 15/4 2/1 1/0 19/5 3/1 42/11 4/1 5/1 23/6 6/1 1/0 27/7 14/1 1/0 31/8 1/0 4/1 -2/1 1/0 13/3 -1/1 -2/3 35/8 -5/9 -1/2 22/5 -1/3 53/12 0/1 84/19 -1/1 0/1 31/7 -1/2 0/1 9/2 -1/4 0/1 32/7 0/1 23/5 0/1 1/10 14/3 0/1 1/3 33/7 0/1 1/2 85/18 0/1 1/3 52/11 1/1 19/4 0/1 1/3 5/1 1/1 16/3 2/1 1/0 11/2 1/0 6/1 -1/1 1/0 13/2 -1/1 46/7 -1/3 0/1 33/5 -1/2 0/1 20/3 -1/3 0/1 27/4 -1/8 0/1 34/5 0/1 7/1 0/1 1/2 8/1 1/1 9/1 -2/1 1/0 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(282,-29,107,-11) (0/1,1/8) -> (50/19,29/11) Hyperbolic Matrix(241,-31,70,-9) (1/8,1/7) -> (24/7,7/2) Hyperbolic Matrix(68,-11,167,-27) (1/7,1/6) -> (2/5,9/22) Hyperbolic Matrix(99,-17,134,-23) (1/6,2/11) -> (11/15,3/4) Hyperbolic Matrix(264,-49,361,-67) (2/11,1/5) -> (19/26,11/15) Hyperbolic Matrix(517,-108,225,-47) (1/5,4/19) -> (16/7,23/10) Hyperbolic Matrix(1287,-272,194,-41) (4/19,7/33) -> (33/5,20/3) Hyperbolic Matrix(258,-55,835,-178) (7/33,3/14) -> (4/13,9/29) Hyperbolic Matrix(448,-97,97,-21) (3/14,2/9) -> (23/5,14/3) Hyperbolic Matrix(509,-114,192,-43) (2/9,5/22) -> (37/14,8/3) Hyperbolic Matrix(634,-145,223,-51) (5/22,3/13) -> (17/6,20/7) Hyperbolic Matrix(95,-23,62,-15) (3/13,1/4) -> (3/2,14/9) Hyperbolic Matrix(155,-41,431,-114) (1/4,4/15) -> (5/14,9/25) Hyperbolic Matrix(491,-132,93,-25) (4/15,7/26) -> (5/1,16/3) Hyperbolic Matrix(553,-150,306,-83) (7/26,3/11) -> (9/5,29/16) Hyperbolic Matrix(153,-43,121,-34) (3/11,2/7) -> (5/4,14/11) Hyperbolic Matrix(241,-70,31,-9) (2/7,7/24) -> (7/1,8/1) Hyperbolic Matrix(331,-97,604,-177) (7/24,5/17) -> (6/11,11/20) Hyperbolic Matrix(91,-27,300,-89) (5/17,3/10) -> (3/10,4/13) Parabolic Matrix(683,-213,1071,-334) (9/29,5/16) -> (7/11,30/47) Hyperbolic Matrix(535,-168,207,-65) (5/16,1/3) -> (31/12,13/5) Hyperbolic Matrix(634,-223,145,-51) (1/3,6/17) -> (13/3,35/8) Hyperbolic Matrix(375,-133,172,-61) (6/17,5/14) -> (13/6,11/5) Hyperbolic Matrix(1547,-558,402,-145) (9/25,13/36) -> (23/6,27/7) Hyperbolic Matrix(2951,-1067,1145,-414) (13/36,4/11) -> (67/26,49/19) Hyperbolic Matrix(199,-73,229,-84) (4/11,7/19) -> (6/7,7/8) Hyperbolic Matrix(143,-53,170,-63) (7/19,3/8) -> (5/6,6/7) Hyperbolic Matrix(509,-192,114,-43) (3/8,11/29) -> (31/7,9/2) Hyperbolic Matrix(282,-107,29,-11) (11/29,8/21) -> (9/1,1/0) Hyperbolic Matrix(507,-194,311,-119) (8/21,5/13) -> (13/8,18/11) Hyperbolic Matrix(535,-207,168,-65) (5/13,12/31) -> (3/1,16/5) Hyperbolic Matrix(730,-283,1687,-654) (12/31,19/49) -> (3/7,13/30) Hyperbolic Matrix(2472,-959,647,-251) (19/49,7/18) -> (42/11,23/6) Hyperbolic Matrix(504,-197,197,-77) (7/18,2/5) -> (23/9,18/7) Hyperbolic Matrix(1493,-612,222,-91) (9/22,16/39) -> (20/3,27/4) Hyperbolic Matrix(2351,-965,497,-204) (16/39,7/17) -> (52/11,19/4) Hyperbolic Matrix(829,-342,303,-125) (7/17,12/29) -> (30/11,11/4) Hyperbolic Matrix(607,-252,330,-137) (12/29,5/12) -> (11/6,24/13) Hyperbolic Matrix(274,-115,193,-81) (5/12,3/7) -> (17/12,10/7) Hyperbolic Matrix(1223,-531,2013,-874) (13/30,10/23) -> (17/28,31/51) Hyperbolic Matrix(517,-225,108,-47) (10/23,7/16) -> (19/4,5/1) Hyperbolic Matrix(109,-48,243,-107) (7/16,4/9) -> (4/9,5/11) Parabolic Matrix(375,-172,133,-61) (5/11,6/13) -> (14/5,17/6) Hyperbolic Matrix(27,-13,52,-25) (6/13,1/2) -> (1/2,7/13) Parabolic Matrix(607,-330,252,-137) (7/13,6/11) -> (12/5,41/17) Hyperbolic Matrix(553,-306,150,-83) (11/20,5/9) -> (11/3,37/10) Hyperbolic Matrix(175,-99,99,-56) (5/9,4/7) -> (7/4,16/9) Hyperbolic Matrix(123,-71,149,-86) (4/7,7/12) -> (9/11,5/6) Hyperbolic Matrix(196,-115,271,-159) (7/12,3/5) -> (13/18,8/11) Hyperbolic Matrix(705,-427,388,-235) (3/5,17/28) -> (29/16,20/11) Hyperbolic Matrix(4923,-2993,2135,-1298) (31/51,14/23) -> (83/36,30/13) Hyperbolic Matrix(629,-384,267,-163) (14/23,11/18) -> (7/3,26/11) Hyperbolic Matrix(507,-311,194,-119) (11/18,8/13) -> (13/5,21/8) Hyperbolic Matrix(121,-75,192,-119) (8/13,5/8) -> (5/8,7/11) Parabolic Matrix(4522,-2887,1405,-897) (30/47,23/36) -> (74/23,29/9) Hyperbolic Matrix(1189,-760,643,-411) (23/36,16/25) -> (24/13,13/7) Hyperbolic Matrix(856,-549,237,-152) (16/25,9/14) -> (18/5,29/8) Hyperbolic Matrix(95,-62,23,-15) (9/14,2/3) -> (4/1,13/3) Hyperbolic Matrix(69,-47,47,-32) (2/3,7/10) -> (13/9,3/2) Hyperbolic Matrix(274,-193,115,-81) (7/10,5/7) -> (19/8,12/5) Hyperbolic Matrix(795,-571,181,-130) (5/7,18/25) -> (35/8,22/5) Hyperbolic Matrix(611,-441,363,-262) (18/25,13/18) -> (5/3,27/16) Hyperbolic Matrix(676,-493,181,-132) (8/11,19/26) -> (26/7,15/4) Hyperbolic Matrix(88,-67,67,-51) (3/4,7/9) -> (13/10,4/3) Hyperbolic Matrix(153,-121,43,-34) (7/9,4/5) -> (7/2,18/5) Hyperbolic Matrix(905,-734,344,-279) (4/5,13/16) -> (21/8,50/19) Hyperbolic Matrix(665,-543,387,-316) (13/16,9/11) -> (12/7,43/25) Hyperbolic Matrix(249,-220,103,-91) (7/8,1/1) -> (29/12,17/7) Hyperbolic Matrix(199,-229,73,-84) (1/1,7/6) -> (19/7,30/11) Hyperbolic Matrix(143,-170,53,-63) (7/6,6/5) -> (8/3,19/7) Hyperbolic Matrix(123,-149,71,-86) (6/5,5/4) -> (19/11,7/4) Hyperbolic Matrix(1096,-1399,463,-591) (14/11,23/18) -> (26/11,45/19) Hyperbolic Matrix(427,-547,274,-351) (23/18,9/7) -> (14/9,25/16) Hyperbolic Matrix(375,-484,289,-373) (9/7,22/17) -> (22/17,13/10) Parabolic Matrix(99,-134,17,-23) (4/3,15/11) -> (11/2,6/1) Hyperbolic Matrix(264,-361,49,-67) (15/11,11/8) -> (16/3,11/2) Hyperbolic Matrix(196,-271,115,-159) (11/8,7/5) -> (17/10,12/7) Hyperbolic Matrix(825,-1163,227,-320) (7/5,24/17) -> (29/8,40/11) Hyperbolic Matrix(582,-823,355,-502) (24/17,17/12) -> (18/11,23/14) Hyperbolic Matrix(369,-529,256,-367) (10/7,23/16) -> (23/16,13/9) Parabolic Matrix(1323,-2069,548,-857) (25/16,36/23) -> (41/17,29/12) Hyperbolic Matrix(683,-1071,213,-334) (36/23,11/7) -> (16/5,45/14) Hyperbolic Matrix(121,-192,75,-119) (11/7,8/5) -> (8/5,13/8) Parabolic Matrix(1223,-2013,531,-874) (23/14,28/17) -> (23/10,53/23) Hyperbolic Matrix(707,-1166,191,-315) (28/17,5/3) -> (37/10,26/7) Hyperbolic Matrix(1422,-2401,841,-1420) (27/16,49/29) -> (49/29,22/13) Parabolic Matrix(290,-491,101,-171) (22/13,17/10) -> (20/7,3/1) Hyperbolic Matrix(3183,-5476,1849,-3181) (43/25,74/43) -> (74/43,31/18) Parabolic Matrix(243,-419,29,-50) (31/18,19/11) -> (8/1,9/1) Hyperbolic Matrix(351,-625,196,-349) (16/9,25/14) -> (25/14,9/5) Parabolic Matrix(331,-604,97,-177) (20/11,11/6) -> (17/5,24/7) Hyperbolic Matrix(27,-52,13,-25) (13/7,2/1) -> (2/1,13/6) Parabolic Matrix(109,-243,48,-107) (11/5,9/4) -> (9/4,16/7) Parabolic Matrix(8025,-18496,3481,-8023) (53/23,136/59) -> (136/59,83/36) Parabolic Matrix(730,-1687,283,-654) (30/13,7/3) -> (49/19,31/12) Hyperbolic Matrix(3275,-7761,741,-1756) (45/19,64/27) -> (53/12,84/19) Hyperbolic Matrix(1018,-2415,231,-548) (64/27,19/8) -> (22/5,53/12) Hyperbolic Matrix(68,-167,11,-27) (17/7,5/2) -> (6/1,13/2) Hyperbolic Matrix(309,-784,121,-307) (5/2,28/11) -> (28/11,23/9) Parabolic Matrix(1287,-3316,196,-505) (18/7,67/26) -> (13/2,46/7) Hyperbolic Matrix(2111,-5571,579,-1528) (29/11,66/25) -> (51/14,62/17) Hyperbolic Matrix(1714,-4527,471,-1244) (66/25,37/14) -> (40/11,51/14) Hyperbolic Matrix(155,-431,41,-114) (11/4,14/5) -> (15/4,19/5) Hyperbolic Matrix(4404,-14161,1369,-4402) (45/14,119/37) -> (119/37,74/23) Parabolic Matrix(258,-835,55,-178) (29/9,13/4) -> (14/3,33/7) Hyperbolic Matrix(91,-300,27,-89) (13/4,10/3) -> (10/3,17/5) Parabolic Matrix(881,-3215,134,-489) (62/17,11/3) -> (46/7,33/5) Hyperbolic Matrix(997,-3799,211,-804) (19/5,42/11) -> (85/18,52/11) Hyperbolic Matrix(249,-961,64,-247) (27/7,31/8) -> (31/8,4/1) Parabolic Matrix(1222,-5407,259,-1146) (84/19,31/7) -> (33/7,85/18) Hyperbolic Matrix(225,-1024,49,-223) (9/2,32/7) -> (32/7,23/5) Parabolic Matrix(171,-1156,25,-169) (27/4,34/5) -> (34/5,7/1) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,2,1) Matrix(282,-29,107,-11) -> Matrix(7,-2,4,-1) Matrix(241,-31,70,-9) -> Matrix(1,0,0,1) Matrix(68,-11,167,-27) -> Matrix(1,0,-2,1) Matrix(99,-17,134,-23) -> Matrix(5,-2,8,-3) Matrix(264,-49,361,-67) -> Matrix(3,-2,8,-5) Matrix(517,-108,225,-47) -> Matrix(1,0,0,1) Matrix(1287,-272,194,-41) -> Matrix(1,0,-2,1) Matrix(258,-55,835,-178) -> Matrix(1,0,4,1) Matrix(448,-97,97,-21) -> Matrix(1,0,4,1) Matrix(509,-114,192,-43) -> Matrix(11,-2,6,-1) Matrix(634,-145,223,-51) -> Matrix(15,-4,4,-1) Matrix(95,-23,62,-15) -> Matrix(5,-2,8,-3) Matrix(155,-41,431,-114) -> Matrix(1,0,0,1) Matrix(491,-132,93,-25) -> Matrix(7,-4,2,-1) Matrix(553,-150,306,-83) -> Matrix(3,-2,8,-5) Matrix(153,-43,121,-34) -> Matrix(1,0,0,1) Matrix(241,-70,31,-9) -> Matrix(1,0,0,1) Matrix(331,-97,604,-177) -> Matrix(1,0,0,1) Matrix(91,-27,300,-89) -> Matrix(1,0,2,1) Matrix(683,-213,1071,-334) -> Matrix(13,-4,10,-3) Matrix(535,-168,207,-65) -> Matrix(7,-2,4,-1) Matrix(634,-223,145,-51) -> Matrix(7,-4,-12,7) Matrix(375,-133,172,-61) -> Matrix(7,-4,2,-1) Matrix(1547,-558,402,-145) -> Matrix(23,-12,2,-1) Matrix(2951,-1067,1145,-414) -> Matrix(29,-16,20,-11) Matrix(199,-73,229,-84) -> Matrix(3,-2,8,-5) Matrix(143,-53,170,-63) -> Matrix(3,-2,2,-1) Matrix(509,-192,114,-43) -> Matrix(3,-2,-10,7) Matrix(282,-107,29,-11) -> Matrix(3,-2,-4,3) Matrix(507,-194,311,-119) -> Matrix(7,-6,6,-5) Matrix(535,-207,168,-65) -> Matrix(3,-2,-4,3) Matrix(730,-283,1687,-654) -> Matrix(3,-2,2,-1) Matrix(2472,-959,647,-251) -> Matrix(21,-16,4,-3) Matrix(504,-197,197,-77) -> Matrix(9,-8,8,-7) Matrix(1493,-612,222,-91) -> Matrix(1,0,-6,1) Matrix(2351,-965,497,-204) -> Matrix(1,0,0,1) Matrix(829,-342,303,-125) -> Matrix(1,2,0,1) Matrix(607,-252,330,-137) -> Matrix(1,0,2,1) Matrix(274,-115,193,-81) -> Matrix(1,0,-4,1) Matrix(1223,-531,2013,-874) -> Matrix(1,-2,2,-3) Matrix(517,-225,108,-47) -> Matrix(1,0,0,1) Matrix(109,-48,243,-107) -> Matrix(5,-2,8,-3) Matrix(375,-172,133,-61) -> Matrix(7,-4,2,-1) Matrix(27,-13,52,-25) -> Matrix(3,-2,2,-1) Matrix(607,-330,252,-137) -> Matrix(1,0,2,1) Matrix(553,-306,150,-83) -> Matrix(1,2,0,1) Matrix(175,-99,99,-56) -> Matrix(1,0,-2,1) Matrix(123,-71,149,-86) -> Matrix(1,0,-2,1) Matrix(196,-115,271,-159) -> Matrix(1,0,0,1) Matrix(705,-427,388,-235) -> Matrix(3,-2,2,-1) Matrix(4923,-2993,2135,-1298) -> Matrix(5,-4,4,-3) Matrix(629,-384,267,-163) -> Matrix(3,-2,-4,3) Matrix(507,-311,194,-119) -> Matrix(7,-6,6,-5) Matrix(121,-75,192,-119) -> Matrix(7,-6,6,-5) Matrix(4522,-2887,1405,-897) -> Matrix(3,-4,-8,11) Matrix(1189,-760,643,-411) -> Matrix(1,-2,4,-7) Matrix(856,-549,237,-152) -> Matrix(1,0,0,1) Matrix(95,-62,23,-15) -> Matrix(1,-2,0,1) Matrix(69,-47,47,-32) -> Matrix(1,0,2,1) Matrix(274,-193,115,-81) -> Matrix(1,0,-4,1) Matrix(795,-571,181,-130) -> Matrix(5,-2,-12,5) Matrix(611,-441,363,-262) -> Matrix(7,-4,2,-1) Matrix(676,-493,181,-132) -> Matrix(3,-2,2,-1) Matrix(88,-67,67,-51) -> Matrix(3,-2,2,-1) Matrix(153,-121,43,-34) -> Matrix(1,0,0,1) Matrix(905,-734,344,-279) -> Matrix(3,-8,2,-5) Matrix(665,-543,387,-316) -> Matrix(1,0,0,1) Matrix(249,-220,103,-91) -> Matrix(1,0,0,1) Matrix(199,-229,73,-84) -> Matrix(1,2,0,1) Matrix(143,-170,53,-63) -> Matrix(3,-2,2,-1) Matrix(123,-149,71,-86) -> Matrix(1,0,-2,1) Matrix(1096,-1399,463,-591) -> Matrix(3,-2,-4,3) Matrix(427,-547,274,-351) -> Matrix(1,0,0,1) Matrix(375,-484,289,-373) -> Matrix(11,-10,10,-9) Matrix(99,-134,17,-23) -> Matrix(1,-2,0,1) Matrix(264,-361,49,-67) -> Matrix(1,2,0,1) Matrix(196,-271,115,-159) -> Matrix(1,0,0,1) Matrix(825,-1163,227,-320) -> Matrix(1,2,0,1) Matrix(582,-823,355,-502) -> Matrix(1,2,0,1) Matrix(369,-529,256,-367) -> Matrix(1,0,14,1) Matrix(1323,-2069,548,-857) -> Matrix(3,-2,2,-1) Matrix(683,-1071,213,-334) -> Matrix(5,-4,-6,5) Matrix(121,-192,75,-119) -> Matrix(7,-6,6,-5) Matrix(1223,-2013,531,-874) -> Matrix(1,-2,2,-3) Matrix(707,-1166,191,-315) -> Matrix(5,-8,2,-3) Matrix(1422,-2401,841,-1420) -> Matrix(1,-18,0,1) Matrix(290,-491,101,-171) -> Matrix(1,6,0,1) Matrix(3183,-5476,1849,-3181) -> Matrix(1,-8,0,1) Matrix(243,-419,29,-50) -> Matrix(1,2,0,1) Matrix(351,-625,196,-349) -> Matrix(1,0,6,1) Matrix(331,-604,97,-177) -> Matrix(1,0,0,1) Matrix(27,-52,13,-25) -> Matrix(3,-2,2,-1) Matrix(109,-243,48,-107) -> Matrix(1,-2,0,1) Matrix(8025,-18496,3481,-8023) -> Matrix(3,-2,2,-1) Matrix(730,-1687,283,-654) -> Matrix(3,-2,2,-1) Matrix(3275,-7761,741,-1756) -> Matrix(1,0,0,1) Matrix(1018,-2415,231,-548) -> Matrix(1,0,-2,1) Matrix(68,-167,11,-27) -> Matrix(1,0,-2,1) Matrix(309,-784,121,-307) -> Matrix(11,-10,10,-9) Matrix(1287,-3316,196,-505) -> Matrix(3,-4,-8,11) Matrix(2111,-5571,579,-1528) -> Matrix(5,-8,2,-3) Matrix(1714,-4527,471,-1244) -> Matrix(1,0,0,1) Matrix(155,-431,41,-114) -> Matrix(1,0,0,1) Matrix(4404,-14161,1369,-4402) -> Matrix(7,4,-16,-9) Matrix(258,-835,55,-178) -> Matrix(1,0,4,1) Matrix(91,-300,27,-89) -> Matrix(1,0,2,1) Matrix(881,-3215,134,-489) -> Matrix(1,-2,-2,5) Matrix(997,-3799,211,-804) -> Matrix(1,-4,2,-7) Matrix(249,-961,64,-247) -> Matrix(1,-16,0,1) Matrix(1222,-5407,259,-1146) -> Matrix(1,0,4,1) Matrix(225,-1024,49,-223) -> Matrix(1,0,14,1) Matrix(171,-1156,25,-169) -> Matrix(1,0,10,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 29 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 2 1 1/1 (0/1,1/1) 0 39 7/6 0/1 2 3 6/5 (0/1,1/2) 0 39 5/4 1/1 2 13 9/7 (4/5,1/1) 0 39 22/17 1/1 10 1 4/3 (1/1,1/0) 0 39 15/11 1/0 4 3 11/8 (0/1,1/0) 0 39 7/5 -1/1 2 13 10/7 (-1/5,0/1) 0 39 23/16 0/1 14 1 3/2 (0/1,1/2) 0 39 14/9 (4/5,1/1) 0 39 25/16 (2/3,1/1) 0 39 36/23 (2/3,3/4) 0 39 11/7 1/1 2 13 8/5 1/1 6 3 13/8 1/1 2 13 18/11 (3/2,2/1) 0 39 23/14 (1/1,2/1) 0 39 28/17 1/1 2 13 5/3 (2/1,1/0) 0 39 49/29 1/0 18 1 22/13 (-7/1,1/0) 0 39 17/10 -1/1 2 13 12/7 (0/1,1/0) 0 39 74/43 1/0 8 1 31/18 (-4/1,1/0) 0 39 19/11 -1/1 2 13 7/4 (0/1,1/0) 0 39 25/14 0/1 6 1 9/5 (0/1,1/3) 0 39 20/11 (0/1,1/0) 0 39 11/6 (0/1,1/1) 0 39 13/7 (0/1,1/2) 0 39 2/1 1/1 2 13 13/6 (2/1,1/0) 0 39 11/5 (1/1,2/1) 0 39 9/4 1/0 2 3 16/7 (-1/1,0/1) 0 39 23/10 1/1 2 13 53/23 (0/1,1/1) 0 39 136/59 1/1 2 1 30/13 (1/1,1/0) 0 39 7/3 (0/1,1/0) 0 39 26/11 (-1/1,0/1) 0 39 19/8 -1/1 2 13 12/5 (0/1,1/3) 0 39 41/17 (0/1,1/2) 0 39 29/12 (0/1,1/1) 0 39 17/7 1/1 2 13 5/2 (1/2,1/1) 0 39 28/11 1/1 10 1 18/7 (1/1,4/3) 0 39 49/19 (3/2,2/1) 0 39 31/12 (1/1,3/2) 0 39 13/5 1/1 2 13 21/8 (4/3,3/2) 0 39 29/11 (3/2,2/1) 0 39 8/3 (2/1,1/0) 0 39 19/7 2/1 2 3 30/11 (2/1,3/1) 0 39 11/4 3/1 2 13 14/5 (2/1,1/0) 0 39 17/6 (2/1,3/1) 0 39 3/1 (-1/1,1/0) 0 39 16/5 -1/1 2 13 45/14 (-2/3,-1/2) 0 39 119/37 -1/2 4 1 29/9 (-1/2,0/1) 0 39 13/4 (-1/1,0/1) 0 39 10/3 0/1 2 3 17/5 (0/1,1/1) 0 39 24/7 (0/1,1/0) 0 39 7/2 1/1 2 13 18/5 (1/1,4/3) 0 39 29/8 (1/1,2/1) 0 39 40/11 1/1 2 13 51/14 2/1 2 3 11/3 (1/1,2/1) 0 39 37/10 (2/1,5/2) 0 39 26/7 3/1 2 13 15/4 (2/1,1/0) 0 39 19/5 3/1 2 13 42/11 (4/1,5/1) 0 39 23/6 (6/1,1/0) 0 39 31/8 1/0 16 1 4/1 (-2/1,1/0) 0 39 13/3 (-1/1,-2/3) 0 39 35/8 (-5/9,-1/2) 0 39 22/5 -1/3 2 13 53/12 0/1 2 3 84/19 (-1/1,0/1) 0 39 31/7 (-1/2,0/1) 0 39 9/2 (-1/4,0/1) 0 39 32/7 0/1 14 1 14/3 (0/1,1/3) 0 39 33/7 (0/1,1/2) 0 39 19/4 (0/1,1/3) 0 39 5/1 1/1 2 13 16/3 (2/1,1/0) 0 39 11/2 1/0 4 3 6/1 (-1/1,1/0) 0 39 13/2 -1/1 2 13 46/7 (-1/3,0/1) 0 39 33/5 (-1/2,0/1) 0 39 20/3 (-1/3,0/1) 0 39 34/5 0/1 10 1 7/1 (0/1,1/2) 0 39 8/1 1/1 2 13 9/1 (-2/1,1/0) 0 39 1/0 (0/1,1/0) 0 39 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(0,1,1,0) (-1/1,1/1) -> (-1/1,1/1) Reflection Matrix(199,-229,73,-84) (1/1,7/6) -> (19/7,30/11) Hyperbolic Matrix(143,-170,53,-63) (7/6,6/5) -> (8/3,19/7) Hyperbolic Matrix(123,-149,71,-86) (6/5,5/4) -> (19/11,7/4) Hyperbolic Matrix(121,-153,34,-43) (5/4,9/7) -> (7/2,18/5) Glide Reflection Matrix(307,-396,238,-307) (9/7,22/17) -> (9/7,22/17) Reflection Matrix(67,-88,51,-67) (22/17,4/3) -> (22/17,4/3) Reflection Matrix(99,-134,17,-23) (4/3,15/11) -> (11/2,6/1) Hyperbolic Matrix(264,-361,49,-67) (15/11,11/8) -> (16/3,11/2) Hyperbolic Matrix(196,-271,115,-159) (11/8,7/5) -> (17/10,12/7) Hyperbolic Matrix(193,-274,81,-115) (7/5,10/7) -> (19/8,12/5) Glide Reflection Matrix(321,-460,224,-321) (10/7,23/16) -> (10/7,23/16) Reflection Matrix(47,-69,32,-47) (23/16,3/2) -> (23/16,3/2) Reflection Matrix(62,-95,15,-23) (3/2,14/9) -> (4/1,13/3) Glide Reflection Matrix(549,-856,152,-237) (14/9,25/16) -> (18/5,29/8) Glide Reflection Matrix(1323,-2069,548,-857) (25/16,36/23) -> (41/17,29/12) Hyperbolic Matrix(683,-1071,213,-334) (36/23,11/7) -> (16/5,45/14) Hyperbolic Matrix(121,-192,75,-119) (11/7,8/5) -> (8/5,13/8) Parabolic Matrix(311,-507,119,-194) (13/8,18/11) -> (13/5,21/8) Glide Reflection Matrix(384,-629,163,-267) (18/11,23/14) -> (7/3,26/11) Glide Reflection Matrix(1223,-2013,531,-874) (23/14,28/17) -> (23/10,53/23) Hyperbolic Matrix(707,-1166,191,-315) (28/17,5/3) -> (37/10,26/7) Hyperbolic Matrix(146,-245,87,-146) (5/3,49/29) -> (5/3,49/29) Reflection Matrix(1275,-2156,754,-1275) (49/29,22/13) -> (49/29,22/13) Reflection Matrix(636,-1079,145,-246) (22/13,17/10) -> (35/8,22/5) Glide Reflection Matrix(517,-888,301,-517) (12/7,74/43) -> (12/7,74/43) Reflection Matrix(2665,-4588,1548,-2665) (74/43,31/18) -> (74/43,31/18) Reflection Matrix(243,-419,29,-50) (31/18,19/11) -> (8/1,9/1) Hyperbolic Matrix(99,-175,56,-99) (7/4,25/14) -> (7/4,25/14) Reflection Matrix(251,-450,140,-251) (25/14,9/5) -> (25/14,9/5) Reflection Matrix(306,-553,83,-150) (9/5,20/11) -> (11/3,37/10) Glide Reflection Matrix(331,-604,97,-177) (20/11,11/6) -> (17/5,24/7) Hyperbolic Matrix(330,-607,137,-252) (11/6,13/7) -> (12/5,41/17) Glide Reflection Matrix(27,-52,13,-25) (13/7,2/1) -> (2/1,13/6) Parabolic Matrix(172,-375,61,-133) (13/6,11/5) -> (14/5,17/6) Glide Reflection Matrix(109,-243,48,-107) (11/5,9/4) -> (9/4,16/7) Parabolic Matrix(225,-517,47,-108) (16/7,23/10) -> (19/4,5/1) Glide Reflection Matrix(6255,-14416,2714,-6255) (53/23,136/59) -> (53/23,136/59) Reflection Matrix(1769,-4080,767,-1769) (136/59,30/13) -> (136/59,30/13) Reflection Matrix(730,-1687,283,-654) (30/13,7/3) -> (49/19,31/12) Hyperbolic Matrix(672,-1591,185,-438) (26/11,19/8) -> (29/8,40/11) Glide Reflection Matrix(342,-829,125,-303) (29/12,17/7) -> (30/11,11/4) Glide Reflection Matrix(68,-167,11,-27) (17/7,5/2) -> (6/1,13/2) Hyperbolic Matrix(111,-280,44,-111) (5/2,28/11) -> (5/2,28/11) Reflection Matrix(197,-504,77,-197) (28/11,18/7) -> (28/11,18/7) Reflection Matrix(959,-2472,251,-647) (18/7,49/19) -> (42/11,23/6) Glide Reflection Matrix(207,-535,65,-168) (31/12,13/5) -> (3/1,16/5) Glide Reflection Matrix(107,-282,11,-29) (21/8,29/11) -> (9/1,1/0) Glide Reflection Matrix(192,-509,43,-114) (29/11,8/3) -> (31/7,9/2) Glide Reflection Matrix(155,-431,41,-114) (11/4,14/5) -> (15/4,19/5) Hyperbolic Matrix(223,-634,51,-145) (17/6,3/1) -> (13/3,35/8) Glide Reflection Matrix(3331,-10710,1036,-3331) (45/14,119/37) -> (45/14,119/37) Reflection Matrix(1072,-3451,333,-1072) (119/37,29/9) -> (119/37,29/9) Reflection Matrix(258,-835,55,-178) (29/9,13/4) -> (14/3,33/7) Hyperbolic Matrix(91,-300,27,-89) (13/4,10/3) -> (10/3,17/5) Parabolic Matrix(70,-241,9,-31) (24/7,7/2) -> (7/1,8/1) Glide Reflection Matrix(891,-3242,202,-735) (40/11,51/14) -> (22/5,53/12) Glide Reflection Matrix(1335,-4867,302,-1101) (51/14,11/3) -> (53/12,84/19) Glide Reflection Matrix(132,-491,25,-93) (26/7,15/4) -> (5/1,16/3) Glide Reflection Matrix(373,-1420,57,-217) (19/5,42/11) -> (13/2,46/7) Glide Reflection Matrix(185,-713,48,-185) (23/6,31/8) -> (23/6,31/8) Reflection Matrix(63,-248,16,-63) (31/8,4/1) -> (31/8,4/1) Reflection Matrix(949,-4198,144,-637) (84/19,31/7) -> (46/7,33/5) Glide Reflection Matrix(127,-576,28,-127) (9/2,32/7) -> (9/2,32/7) Reflection Matrix(97,-448,21,-97) (32/7,14/3) -> (32/7,14/3) Reflection Matrix(272,-1287,41,-194) (33/7,19/4) -> (33/5,20/3) Glide Reflection Matrix(101,-680,15,-101) (20/3,34/5) -> (20/3,34/5) Reflection Matrix(69,-476,10,-69) (34/5,7/1) -> (34/5,7/1) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(0,1,1,0) -> Matrix(1,0,2,-1) (-1/1,1/1) -> (0/1,1/1) Matrix(199,-229,73,-84) -> Matrix(1,2,0,1) 1/0 Matrix(143,-170,53,-63) -> Matrix(3,-2,2,-1) 1/1 Matrix(123,-149,71,-86) -> Matrix(1,0,-2,1) 0/1 Matrix(121,-153,34,-43) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(307,-396,238,-307) -> Matrix(9,-8,10,-9) (9/7,22/17) -> (4/5,1/1) Matrix(67,-88,51,-67) -> Matrix(-1,2,0,1) (22/17,4/3) -> (1/1,1/0) Matrix(99,-134,17,-23) -> Matrix(1,-2,0,1) 1/0 Matrix(264,-361,49,-67) -> Matrix(1,2,0,1) 1/0 Matrix(196,-271,115,-159) -> Matrix(1,0,0,1) Matrix(193,-274,81,-115) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(321,-460,224,-321) -> Matrix(-1,0,10,1) (10/7,23/16) -> (-1/5,0/1) Matrix(47,-69,32,-47) -> Matrix(1,0,4,-1) (23/16,3/2) -> (0/1,1/2) Matrix(62,-95,15,-23) -> Matrix(3,-2,-2,1) Matrix(549,-856,152,-237) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1323,-2069,548,-857) -> Matrix(3,-2,2,-1) 1/1 Matrix(683,-1071,213,-334) -> Matrix(5,-4,-6,5) Matrix(121,-192,75,-119) -> Matrix(7,-6,6,-5) 1/1 Matrix(311,-507,119,-194) -> Matrix(5,-6,4,-5) *** -> (1/1,3/2) Matrix(384,-629,163,-267) -> Matrix(1,-2,-2,3) Matrix(1223,-2013,531,-874) -> Matrix(1,-2,2,-3) 1/1 Matrix(707,-1166,191,-315) -> Matrix(5,-8,2,-3) 2/1 Matrix(146,-245,87,-146) -> Matrix(-1,4,0,1) (5/3,49/29) -> (2/1,1/0) Matrix(1275,-2156,754,-1275) -> Matrix(1,14,0,-1) (49/29,22/13) -> (-7/1,1/0) Matrix(636,-1079,145,-246) -> Matrix(1,2,-2,-5) Matrix(517,-888,301,-517) -> Matrix(1,0,0,-1) (12/7,74/43) -> (0/1,1/0) Matrix(2665,-4588,1548,-2665) -> Matrix(1,8,0,-1) (74/43,31/18) -> (-4/1,1/0) Matrix(243,-419,29,-50) -> Matrix(1,2,0,1) 1/0 Matrix(99,-175,56,-99) -> Matrix(1,0,0,-1) (7/4,25/14) -> (0/1,1/0) Matrix(251,-450,140,-251) -> Matrix(1,0,6,-1) (25/14,9/5) -> (0/1,1/3) Matrix(306,-553,83,-150) -> Matrix(5,-2,2,-1) Matrix(331,-604,97,-177) -> Matrix(1,0,0,1) Matrix(330,-607,137,-252) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(27,-52,13,-25) -> Matrix(3,-2,2,-1) 1/1 Matrix(172,-375,61,-133) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(109,-243,48,-107) -> Matrix(1,-2,0,1) 1/0 Matrix(225,-517,47,-108) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(6255,-14416,2714,-6255) -> Matrix(1,0,2,-1) (53/23,136/59) -> (0/1,1/1) Matrix(1769,-4080,767,-1769) -> Matrix(-1,2,0,1) (136/59,30/13) -> (1/1,1/0) Matrix(730,-1687,283,-654) -> Matrix(3,-2,2,-1) 1/1 Matrix(672,-1591,185,-438) -> Matrix(3,2,2,1) Matrix(342,-829,125,-303) -> Matrix(5,-2,2,-1) Matrix(68,-167,11,-27) -> Matrix(1,0,-2,1) 0/1 Matrix(111,-280,44,-111) -> Matrix(3,-2,4,-3) (5/2,28/11) -> (1/2,1/1) Matrix(197,-504,77,-197) -> Matrix(7,-8,6,-7) (28/11,18/7) -> (1/1,4/3) Matrix(959,-2472,251,-647) -> Matrix(11,-16,2,-3) Matrix(207,-535,65,-168) -> Matrix(1,-2,-2,3) Matrix(107,-282,11,-29) -> Matrix(1,-2,-2,3) Matrix(192,-509,43,-114) -> Matrix(1,-2,-4,7) Matrix(155,-431,41,-114) -> Matrix(1,0,0,1) Matrix(223,-634,51,-145) -> Matrix(1,-4,-2,7) Matrix(3331,-10710,1036,-3331) -> Matrix(7,4,-12,-7) (45/14,119/37) -> (-2/3,-1/2) Matrix(1072,-3451,333,-1072) -> Matrix(-1,0,4,1) (119/37,29/9) -> (-1/2,0/1) Matrix(258,-835,55,-178) -> Matrix(1,0,4,1) 0/1 Matrix(91,-300,27,-89) -> Matrix(1,0,2,1) 0/1 Matrix(70,-241,9,-31) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(891,-3242,202,-735) -> Matrix(1,-2,-4,7) Matrix(1335,-4867,302,-1101) -> Matrix(1,-2,-2,3) Matrix(132,-491,25,-93) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(373,-1420,57,-217) -> Matrix(1,-4,-2,7) Matrix(185,-713,48,-185) -> Matrix(-1,12,0,1) (23/6,31/8) -> (6/1,1/0) Matrix(63,-248,16,-63) -> Matrix(1,4,0,-1) (31/8,4/1) -> (-2/1,1/0) Matrix(949,-4198,144,-637) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(127,-576,28,-127) -> Matrix(-1,0,8,1) (9/2,32/7) -> (-1/4,0/1) Matrix(97,-448,21,-97) -> Matrix(1,0,6,-1) (32/7,14/3) -> (0/1,1/3) Matrix(272,-1287,41,-194) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(101,-680,15,-101) -> Matrix(-1,0,6,1) (20/3,34/5) -> (-1/3,0/1) Matrix(69,-476,10,-69) -> Matrix(1,0,4,-1) (34/5,7/1) -> (0/1,1/2) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.