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): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 112 Genus: 137 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -7/8 -4/5 -3/4 -11/15 -18/25 -17/24 -7/10 -5/8 -3/5 -7/12 -14/25 -1/2 -7/15 -7/16 -67/160 -5/12 -2/5 -39/100 -3/8 -119/320 -11/30 -14/39 -5/16 -3/10 -5/18 -43/160 -4/15 -21/80 -1/4 -6/25 -19/80 -8/35 -3/14 -6/29 -1/5 -3/16 -6/35 -1/6 -2/15 -1/8 -2/17 -1/10 0/1 1/9 1/8 2/15 1/7 4/27 3/20 2/13 1/6 4/23 7/40 3/17 2/11 3/16 4/21 1/5 4/19 3/14 8/37 2/9 9/40 8/35 3/13 1/4 5/19 4/15 3/11 11/40 5/18 2/7 3/10 10/33 5/16 1/3 7/20 3/8 12/31 2/5 5/12 17/40 7/16 53/120 9/20 16/35 7/15 1/2 11/20 23/40 7/12 59/100 3/5 5/8 19/30 77/120 13/20 2/3 7/10 17/24 18/25 29/40 11/15 3/4 31/40 4/5 33/40 17/20 7/8 9/10 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/1 -8/9 3/2 2/1 -7/8 1/0 -6/7 0/1 1/1 -17/20 1/1 -11/13 1/1 -5/6 1/1 3/1 -19/23 9/1 -33/40 1/0 -14/17 -5/1 1/0 -9/11 -1/1 -31/38 -3/1 -1/1 -53/65 0/1 -22/27 0/1 1/0 -13/16 0/1 -4/5 1/2 1/0 -19/24 0/1 -34/43 0/1 1/0 -15/19 1/1 -41/52 1/0 -26/33 1/2 1/1 -11/14 1/1 3/1 -29/37 3/1 -18/23 0/1 1/0 -25/32 1/0 -32/41 1/1 1/0 -7/9 3/1 -10/13 -1/1 1/0 -13/17 -1/1 -29/38 -9/7 -1/1 -16/21 -1/1 -3/4 -3/4 0/1 -17/23 3/5 -31/42 9/11 1/1 -14/19 1/1 4/3 -25/34 1/1 5/3 -36/49 2/1 1/0 -11/15 1/0 -8/11 2/1 1/0 -29/40 1/0 -21/29 -5/1 -34/47 -3/1 1/0 -81/112 -2/1 -47/65 -2/1 -13/18 -3/1 -1/1 -31/43 -1/3 -18/25 1/0 -23/32 1/0 -28/39 -1/1 1/0 -5/7 -1/1 -32/45 -1/2 -27/38 -1/1 -1/3 -22/31 -1/2 0/1 -39/55 -1/2 -56/79 -1/2 0/1 -17/24 0/1 -29/41 -1/1 -12/17 -1/2 -1/3 -19/27 -1/3 -26/37 -1/4 0/1 -7/10 0/1 -16/23 0/1 1/4 -25/36 1/2 -9/13 1/1 -38/55 1/2 -29/42 -1/1 1/1 -20/29 0/1 1/2 -11/16 1/1 -13/19 1/1 -15/22 -1/1 1/1 -17/25 0/1 -2/3 0/1 1/0 -13/20 0/1 -11/17 1/7 -31/48 0/1 -20/31 2/9 1/4 -29/45 1/4 -9/14 1/3 1/1 -52/81 0/1 1/2 -43/67 1/1 -77/120 0/1 -34/53 0/1 1/4 -25/39 1/3 -16/25 1/4 1/2 -23/36 1/2 -30/47 1/3 1/2 -7/11 1/1 -26/41 1/2 1/1 -45/71 3/5 -19/30 1/2 -12/19 2/3 1/1 -29/46 1/3 1/1 -17/27 1/1 -22/35 1/2 -5/8 1/1 -28/45 1/0 -51/82 1/1 3/1 -74/119 1/1 1/0 -23/37 1/1 -41/66 -1/1 1/1 -100/161 0/1 1/0 -59/95 1/0 -18/29 0/1 1/2 -31/50 1/1 -44/71 2/1 1/0 -57/92 1/0 -13/21 1/1 -34/55 3/2 1/0 -21/34 1/1 3/1 -8/13 1/1 1/0 -19/31 5/1 -11/18 -3/1 -1/1 -36/59 -5/4 -1/1 -61/100 -1/1 -25/41 -1/1 -14/23 -1/2 0/1 -31/51 -1/1 -17/28 1/0 -20/33 -1/1 -1/2 -23/38 -1/1 -1/3 -3/5 0/1 -16/27 0/1 1/2 -13/22 1/5 1/3 -36/61 4/13 1/3 -59/100 1/3 -23/39 1/3 -10/17 3/7 1/2 -17/29 1/1 -24/41 1/2 1/1 -31/53 3/5 -7/12 1/2 -39/67 1/1 -32/55 1/2 -25/43 7/11 -43/74 9/13 5/7 -18/31 2/3 3/4 -11/19 1/1 -37/64 1/1 -26/45 1/2 3/4 -15/26 7/9 1/1 -34/59 5/6 1/1 -53/92 6/7 -19/33 1/1 -23/40 1/1 -4/7 1/1 2/1 -9/16 1/0 -23/41 -1/1 -14/25 -1/2 1/0 -19/34 -1/1 -1/3 -5/9 1/1 -26/47 -1/1 1/0 -21/38 -1/1 1/1 -16/29 -1/2 0/1 -11/20 0/1 -6/11 0/1 1/2 -7/13 1/3 -15/28 1/2 -23/43 1/1 -8/15 1/2 -9/17 5/7 -1/2 -1/1 1/1 -8/17 1/1 3/2 -7/15 2/1 -13/28 2/1 -6/13 1/1 1/0 -5/11 3/1 -19/42 3/1 5/1 -14/31 4/1 1/0 -9/20 1/0 -4/9 0/1 1/0 -23/52 1/0 -19/43 1/1 -53/120 1/0 -34/77 0/1 1/0 -15/34 -1/1 1/1 -11/25 1/0 -18/41 1/1 1/0 -7/16 1/0 -17/39 -1/1 -10/23 0/1 1/0 -13/30 0/1 -16/37 0/1 1/2 -3/7 1/1 -17/40 1/1 -14/33 1/1 5/4 -11/26 1/1 5/3 -8/19 1/1 2/1 -21/50 3/2 -13/31 1/1 -31/74 5/3 9/5 -49/117 21/11 -67/160 2/1 -18/43 2/1 5/2 -5/12 2/1 -32/77 2/1 1/0 -27/65 2/1 -22/53 2/1 1/0 -17/41 3/1 -29/70 3/1 -12/29 4/1 1/0 -31/75 1/0 -50/121 5/1 1/0 -19/46 5/1 7/1 -7/17 -1/1 -2/5 1/0 -9/23 -3/1 -16/41 -1/1 1/0 -39/100 1/0 -23/59 -1/1 -7/18 -1/1 1/1 -19/49 7/1 -31/80 1/0 -12/31 -6/1 1/0 -29/75 1/0 -46/119 -3/1 1/0 -17/44 1/0 -5/13 -1/1 -23/60 -1/1 -18/47 -1/1 -1/2 -49/128 0/1 -31/81 -1/1 -44/115 -1/2 1/0 -13/34 -1/1 1/1 -21/55 1/0 -29/76 -2/1 -8/21 -1/1 -1/2 -35/92 -2/3 -27/71 -3/5 -19/50 -1/2 -30/79 -1/2 0/1 -71/187 -1/1 -41/108 -1/2 -11/29 -1/3 -14/37 0/1 1/0 -3/8 0/1 -16/43 0/1 1/2 -45/121 1/3 -119/320 1/2 -74/199 1/2 1/1 -29/78 1/3 1/1 -13/35 0/1 -10/27 0/1 1/2 -27/73 1/1 -44/119 1/2 1/1 -17/46 3/5 1/1 -7/19 1/1 -18/49 0/1 1/2 -47/128 2/3 -29/79 1/1 -11/30 1/1 -26/71 5/4 4/3 -15/41 1/1 -4/11 2/1 1/0 -9/25 1/0 -14/39 1/1 1/0 -19/53 3/1 -5/14 -1/1 1/1 -16/45 3/2 1/0 -11/31 3/1 -6/17 3/1 1/0 -7/20 1/0 -8/23 -4/1 1/0 -1/3 -1/1 -7/22 3/5 1/1 -6/19 1/1 2/1 -5/16 1/1 -14/45 3/2 1/0 -9/29 3/1 -4/13 1/1 1/0 -7/23 1/1 -24/79 2/1 1/0 -17/56 2/1 -27/89 1/1 -10/33 3/1 1/0 -3/10 1/0 -14/47 -3/1 1/0 -25/84 1/0 -36/121 -3/1 1/0 -11/37 -3/1 -19/64 -2/1 -8/27 -2/1 1/0 -21/71 -5/3 -34/115 -3/2 1/0 -47/159 -1/1 -13/44 -2/1 -5/17 1/1 -12/41 -1/1 1/0 -7/24 1/0 -2/7 -1/1 0/1 -9/32 -1/2 -16/57 -1/2 -2/5 -7/25 0/1 -19/68 0/1 -12/43 0/1 1/0 -17/61 -1/1 -39/140 -1/2 -22/79 -1/2 0/1 -5/18 -1/1 -1/3 -13/47 -1/5 -34/123 -1/4 0/1 -55/199 -1/5 -21/76 0/1 -29/105 -1/6 -8/29 -1/8 0/1 -11/40 0/1 -3/11 1/3 -10/37 0/1 1/0 -7/26 1/3 1/1 -25/93 3/7 -43/160 1/2 -18/67 1/2 3/5 -11/41 1/1 -15/56 0/1 -4/15 1/2 1/0 -17/64 0/1 -13/49 1/3 -35/132 0/1 -22/83 0/1 1/2 -9/34 1/3 1/1 -5/19 1/1 -21/80 1/1 -16/61 1/1 14/13 -11/42 1/1 11/9 -17/65 4/3 -6/23 3/2 2/1 -1/4 1/0 -6/25 -3/2 1/0 -5/21 -1/1 -19/80 -1/1 -14/59 -1/1 -11/12 -9/38 -1/1 -7/9 -4/17 -1/1 -1/2 -3/13 -1/1 -8/35 -1/2 -13/57 -1/1 -18/79 -1/2 0/1 -5/22 -1/1 -1/3 -12/53 -1/4 0/1 -7/31 -1/7 -9/40 0/1 -2/9 0/1 1/2 -7/32 1/0 -12/55 1/0 -17/78 -5/3 -1/1 -5/23 -1/1 -13/60 0/1 -8/37 0/1 1/4 -3/14 1/3 1/1 -4/19 0/1 1/1 -5/24 1/1 -6/29 2/1 1/0 -1/5 1/0 -5/26 -5/3 -1/1 -4/21 -1/1 1/0 -11/58 -1/1 -5/7 -7/37 -1/1 -3/16 0/1 -8/43 0/1 1/0 -5/27 1/1 -2/11 0/1 1/0 -7/39 -1/1 -12/67 -1/2 -1/3 -5/28 0/1 -13/73 -1/1 -8/45 -1/2 -3/17 -1/3 -7/40 0/1 -4/23 0/1 1/4 -5/29 1/3 -6/35 1/2 1/0 -1/6 -1/1 1/1 -2/13 1/1 1/0 -3/20 1/0 -4/27 -2/1 1/0 -1/7 -1/1 -3/22 1/3 1/1 -5/37 1/1 -2/15 1/0 -3/23 -1/3 -1/8 0/1 -3/25 0/1 -2/17 1/1 1/0 -1/9 1/1 -1/10 1/0 0/1 0/1 1/0 1/9 -1/1 1/8 0/1 3/23 1/3 2/15 1/0 1/7 1/1 4/27 2/1 1/0 3/20 1/0 2/13 -1/1 1/0 1/6 -1/1 1/1 5/29 -1/3 4/23 -1/4 0/1 7/40 0/1 3/17 1/3 8/45 1/2 13/73 1/1 5/28 0/1 2/11 0/1 1/0 3/16 0/1 7/37 1/1 4/21 1/1 1/0 5/26 1/1 5/3 1/5 1/0 5/24 -1/1 4/19 -1/1 0/1 3/14 -1/1 -1/3 8/37 -1/4 0/1 5/23 1/1 7/32 1/0 2/9 -1/2 0/1 9/40 0/1 7/31 1/7 5/22 1/3 1/1 18/79 0/1 1/2 13/57 1/1 8/35 1/2 3/13 1/1 4/17 1/2 1/1 9/38 7/9 1/1 5/21 1/1 1/4 1/0 6/23 -2/1 -3/2 11/42 -11/9 -1/1 5/19 -1/1 9/34 -1/1 -1/3 22/83 -1/2 0/1 13/49 -1/3 4/15 -1/2 1/0 11/41 -1/1 18/67 -3/5 -1/2 7/26 -1/1 -1/3 10/37 0/1 1/0 3/11 -1/3 11/40 0/1 8/29 0/1 1/8 21/76 0/1 13/47 1/5 18/65 1/4 23/83 1/3 5/18 1/3 1/1 22/79 0/1 1/2 17/61 1/1 12/43 0/1 1/0 7/25 0/1 2/7 0/1 1/1 5/17 -1/1 13/44 2/1 21/71 5/3 8/27 2/1 1/0 11/37 3/1 3/10 1/0 13/43 -3/1 10/33 -3/1 1/0 27/89 -1/1 17/56 -2/1 24/79 -2/1 1/0 7/23 -1/1 4/13 -1/1 1/0 5/16 -1/1 6/19 -2/1 -1/1 1/3 1/1 7/20 1/0 6/17 -3/1 1/0 17/48 -2/1 11/31 -3/1 5/14 -1/1 1/1 4/11 -2/1 1/0 19/52 -2/1 15/41 -1/1 11/30 -1/1 7/19 -1/1 17/46 -1/1 -3/5 27/73 -1/1 10/27 -1/2 0/1 13/35 0/1 3/8 0/1 17/45 0/1 31/82 -1/1 1/1 45/119 -1/1 14/37 0/1 1/0 11/29 1/3 30/79 0/1 1/2 19/50 1/2 27/71 3/5 62/163 1/2 2/3 35/92 2/3 8/21 1/2 1/1 21/55 1/0 13/34 -1/1 1/1 44/115 1/2 1/0 31/81 1/1 49/128 0/1 18/47 1/2 1/1 5/13 1/1 17/44 1/0 46/119 3/1 1/0 29/75 1/0 12/31 6/1 1/0 7/18 -1/1 1/1 2/5 1/0 9/22 -3/1 -1/1 25/61 -1/1 66/161 0/1 1/0 41/100 1/0 16/39 -1/1 1/0 7/17 1/1 19/46 -7/1 -5/1 50/121 -5/1 1/0 31/75 1/0 12/29 -4/1 1/0 17/41 -3/1 22/53 -2/1 1/0 27/65 -2/1 5/12 -2/1 23/55 -2/1 18/43 -5/2 -2/1 13/31 -1/1 8/19 -2/1 -1/1 11/26 -5/3 -1/1 14/33 -5/4 -1/1 17/40 -1/1 3/7 -1/1 10/23 0/1 1/0 17/39 1/1 7/16 1/0 18/41 -1/1 1/0 11/25 1/0 15/34 -1/1 1/1 34/77 0/1 1/0 53/120 1/0 19/43 -1/1 23/52 1/0 4/9 0/1 1/0 9/20 1/0 14/31 -4/1 1/0 19/42 -5/1 -3/1 5/11 -3/1 21/46 -5/3 -1/1 16/35 -3/2 1/0 11/24 -1/1 6/13 -1/1 1/0 19/41 -3/1 13/28 -2/1 7/15 -2/1 15/32 -2/1 8/17 -3/2 -1/1 1/2 -1/1 1/1 9/17 -5/7 8/15 -1/2 23/43 -1/1 15/28 -1/2 7/13 -1/3 13/24 0/1 6/11 -1/2 0/1 11/20 0/1 16/29 0/1 1/2 21/38 -1/1 1/1 26/47 1/1 1/0 5/9 -1/1 24/43 -1/4 0/1 19/34 1/3 1/1 14/25 1/2 1/0 23/41 1/1 9/16 1/0 22/39 -1/1 1/0 13/23 -3/1 4/7 -2/1 -1/1 23/40 -1/1 19/33 -1/1 53/92 -6/7 34/59 -1/1 -5/6 15/26 -1/1 -7/9 41/71 -5/7 67/116 -2/3 93/161 -1/1 26/45 -3/4 -1/2 11/19 -1/1 29/50 -1/1 47/81 -1/1 18/31 -3/4 -2/3 43/74 -5/7 -9/13 68/117 -19/28 -2/3 93/160 -2/3 25/43 -7/11 7/12 -1/2 31/53 -3/5 24/41 -1/1 -1/2 17/29 -1/1 10/17 -1/2 -3/7 23/39 -1/3 59/100 -1/3 36/61 -1/3 -4/13 13/22 -1/3 -1/5 29/49 1/1 16/27 -1/2 0/1 3/5 0/1 23/38 1/3 1/1 20/33 1/2 1/1 17/28 1/0 48/79 0/1 1/0 31/51 1/1 14/23 0/1 1/2 25/41 1/1 61/100 1/1 36/59 1/1 5/4 47/77 1/1 11/18 1/1 3/1 8/13 -1/1 1/0 21/34 -3/1 -1/1 34/55 -3/2 1/0 13/21 -1/1 44/71 -2/1 1/0 31/50 -1/1 49/79 -1/1 18/29 -1/2 0/1 23/37 -1/1 5/8 -1/1 27/43 -1/1 76/121 -1/1 -1/2 201/320 -1/2 125/199 -1/3 49/78 -1/1 -1/3 22/35 -1/2 17/27 -1/1 12/19 -1/1 -2/3 31/49 -1/1 50/79 -2/3 -1/2 19/30 -1/2 45/71 -3/5 26/41 -1/1 -1/2 7/11 -1/1 23/36 -1/2 39/61 -1/3 16/25 -1/2 -1/4 25/39 -1/3 34/53 -1/4 0/1 77/120 0/1 43/67 -1/1 52/81 -1/2 0/1 9/14 -1/1 -1/3 29/45 -1/4 20/31 -1/4 -2/9 51/79 -1/5 31/48 0/1 11/17 -1/7 24/37 -1/12 0/1 13/20 0/1 2/3 0/1 1/0 15/22 -1/1 1/1 13/19 -1/1 24/35 -1/2 1/0 11/16 -1/1 31/45 -1/2 20/29 -1/2 0/1 29/42 -1/1 1/1 38/55 -1/2 9/13 -1/1 25/36 -1/2 16/23 -1/4 0/1 23/33 -1/5 7/10 0/1 33/47 1/5 59/84 0/1 85/121 1/5 26/37 0/1 1/4 45/64 0/1 19/27 1/3 12/17 1/3 1/2 29/41 1/1 46/65 1/2 1/0 63/89 -1/1 17/24 0/1 56/79 0/1 1/2 39/55 1/2 22/31 0/1 1/2 27/38 1/3 1/1 32/45 1/2 5/7 1/1 33/46 1/1 3/1 28/39 1/1 1/0 23/32 1/0 41/57 1/1 18/25 1/0 67/93 -1/1 116/161 0/1 1/0 49/68 1/0 31/43 1/3 44/61 2/3 1/1 13/18 1/1 3/1 60/83 2/1 1/0 107/148 2/1 47/65 2/1 81/112 2/1 34/47 3/1 1/0 89/123 3/1 144/199 3/1 1/0 55/76 1/0 21/29 5/1 29/40 1/0 8/11 -2/1 1/0 19/26 -1/1 1/1 68/93 3/1 1/0 117/160 1/0 49/67 -3/1 30/41 -1/1 1/0 11/15 1/0 36/49 -2/1 1/0 25/34 -5/3 -1/1 14/19 -4/3 -1/1 59/80 -1/1 45/61 -1/1 31/42 -1/1 -9/11 17/23 -3/5 3/4 0/1 22/29 0/1 1/4 19/25 1/2 16/21 3/4 1/1 61/80 1/1 45/59 1/1 29/38 1/1 9/7 42/55 3/2 13/17 1/1 10/13 1/1 1/0 17/22 3/1 5/1 24/31 10/1 1/0 31/40 1/0 7/9 -3/1 32/41 -1/1 1/0 25/32 1/0 18/23 0/1 1/0 47/60 1/0 29/37 -3/1 40/51 -5/2 -2/1 51/65 1/0 62/79 -2/1 1/0 11/14 -3/1 -1/1 26/33 -1/1 -1/2 41/52 1/0 56/71 -2/1 1/0 15/19 -1/1 4/5 -1/2 1/0 17/21 -1/1 30/37 0/1 1/0 13/16 0/1 35/43 1/1 22/27 0/1 1/0 53/65 0/1 31/38 1/1 3/1 9/11 1/1 14/17 5/1 1/0 33/40 1/0 19/23 -9/1 5/6 -3/1 -1/1 16/19 -1/1 0/1 11/13 -1/1 28/33 -5/4 -1/1 17/20 -1/1 6/7 -1/1 0/1 13/15 0/1 33/38 3/5 1/1 20/23 2/1 1/0 7/8 1/0 8/9 -2/1 -3/2 9/10 -1/1 1/1 -1/1 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(161,146,-440,-399) (-1/1,-8/9) -> (-26/71,-15/41) Hyperbolic Matrix(79,70,360,319) (-8/9,-7/8) -> (7/32,2/9) Hyperbolic Matrix(79,68,-280,-241) (-7/8,-6/7) -> (-2/7,-9/32) Hyperbolic Matrix(239,204,280,239) (-6/7,-17/20) -> (17/20,6/7) Hyperbolic Matrix(399,338,-1040,-881) (-17/20,-11/13) -> (-5/13,-23/60) Hyperbolic Matrix(479,404,-760,-641) (-11/13,-5/6) -> (-29/46,-17/27) Hyperbolic Matrix(479,396,1160,959) (-5/6,-19/23) -> (7/17,19/46) Hyperbolic Matrix(1519,1254,1840,1519) (-19/23,-33/40) -> (33/40,19/23) Hyperbolic Matrix(1121,924,1360,1121) (-33/40,-14/17) -> (14/17,33/40) Hyperbolic Matrix(399,328,680,559) (-14/17,-9/11) -> (17/29,10/17) Hyperbolic Matrix(399,326,880,719) (-9/11,-31/38) -> (19/42,5/11) Hyperbolic Matrix(2639,2152,3040,2479) (-31/38,-53/65) -> (13/15,33/38) Hyperbolic Matrix(2159,1760,5200,4239) (-53/65,-22/27) -> (22/53,27/65) Hyperbolic Matrix(641,522,-2160,-1759) (-22/27,-13/16) -> (-19/64,-8/27) Hyperbolic Matrix(159,128,-200,-161) (-13/16,-4/5) -> (-4/5,-19/24) Parabolic Matrix(2559,2024,3640,2879) (-19/24,-34/43) -> (26/37,45/64) Hyperbolic Matrix(959,758,3440,2719) (-34/43,-15/19) -> (17/61,12/43) Hyperbolic Matrix(1759,1388,-2840,-2241) (-15/19,-41/52) -> (-57/92,-13/21) Hyperbolic Matrix(1601,1262,2640,2081) (-41/52,-26/33) -> (20/33,17/28) Hyperbolic Matrix(559,440,1320,1039) (-26/33,-11/14) -> (11/26,14/33) Hyperbolic Matrix(1839,1442,-2960,-2321) (-11/14,-29/37) -> (-23/37,-41/66) Hyperbolic Matrix(319,250,-920,-721) (-29/37,-18/23) -> (-8/23,-1/3) Hyperbolic Matrix(719,562,-2560,-2001) (-18/23,-25/32) -> (-9/32,-16/57) Hyperbolic Matrix(1839,1436,2560,1999) (-25/32,-32/41) -> (28/39,23/32) Hyperbolic Matrix(2079,1622,3280,2559) (-32/41,-7/9) -> (45/71,26/41) Hyperbolic Matrix(319,246,-520,-401) (-7/9,-10/13) -> (-8/13,-19/31) Hyperbolic Matrix(159,122,520,399) (-10/13,-13/17) -> (7/23,4/13) Hyperbolic Matrix(479,366,-2200,-1681) (-13/17,-29/38) -> (-17/78,-5/23) Hyperbolic Matrix(721,550,-3040,-2319) (-29/38,-16/21) -> (-14/59,-9/38) Hyperbolic Matrix(641,488,-1680,-1279) (-16/21,-3/4) -> (-29/76,-8/21) Hyperbolic Matrix(319,236,1080,799) (-3/4,-17/23) -> (5/17,13/44) Hyperbolic Matrix(401,296,760,561) (-17/23,-31/42) -> (1/2,9/17) Hyperbolic Matrix(881,650,-3360,-2479) (-31/42,-14/19) -> (-16/61,-11/42) Hyperbolic Matrix(639,470,760,559) (-14/19,-25/34) -> (5/6,16/19) Hyperbolic Matrix(2719,1998,4680,3439) (-25/34,-36/49) -> (18/31,43/74) Hyperbolic Matrix(2241,1646,3160,2321) (-36/49,-11/15) -> (39/55,22/31) Hyperbolic Matrix(159,116,-440,-321) (-11/15,-8/11) -> (-4/11,-9/25) Hyperbolic Matrix(639,464,880,639) (-8/11,-29/40) -> (29/40,8/11) Hyperbolic Matrix(1681,1218,2320,1681) (-29/40,-21/29) -> (21/29,29/40) Hyperbolic Matrix(1199,868,-1880,-1361) (-21/29,-34/47) -> (-30/47,-7/11) Hyperbolic Matrix(4319,3124,11280,8159) (-34/47,-81/112) -> (49/128,18/47) Hyperbolic Matrix(1759,1272,3760,2719) (-81/112,-47/65) -> (7/15,15/32) Hyperbolic Matrix(1281,926,-1880,-1359) (-47/65,-13/18) -> (-15/22,-17/25) Hyperbolic Matrix(319,230,-1000,-721) (-13/18,-31/43) -> (-1/3,-7/22) Hyperbolic Matrix(2001,1442,-3440,-2479) (-31/43,-18/25) -> (-32/55,-25/43) Hyperbolic Matrix(559,402,-2560,-1841) (-18/25,-23/32) -> (-7/32,-12/55) Hyperbolic Matrix(1999,1436,2560,1839) (-23/32,-28/39) -> (32/41,25/32) Hyperbolic Matrix(1361,976,-3680,-2639) (-28/39,-5/7) -> (-27/73,-44/119) Hyperbolic Matrix(641,456,3600,2561) (-5/7,-32/45) -> (8/45,13/73) Hyperbolic Matrix(3041,2162,4840,3441) (-32/45,-27/38) -> (49/78,22/35) Hyperbolic Matrix(1121,796,2480,1761) (-27/38,-22/31) -> (14/31,19/42) Hyperbolic Matrix(2321,1646,3160,2241) (-22/31,-39/55) -> (11/15,36/49) Hyperbolic Matrix(10161,7204,-16360,-11599) (-39/55,-56/79) -> (-100/161,-59/95) Hyperbolic Matrix(1919,1360,6320,4479) (-56/79,-17/24) -> (17/56,24/79) Hyperbolic Matrix(879,622,-3280,-2321) (-17/24,-29/41) -> (-11/41,-15/56) Hyperbolic Matrix(801,566,1360,961) (-29/41,-12/17) -> (10/17,23/39) Hyperbolic Matrix(159,112,680,479) (-12/17,-19/27) -> (3/13,4/17) Hyperbolic Matrix(401,282,-2160,-1519) (-19/27,-26/37) -> (-8/43,-5/27) Hyperbolic Matrix(641,450,-1480,-1039) (-26/37,-7/10) -> (-13/30,-16/37) Hyperbolic Matrix(399,278,-920,-641) (-7/10,-16/23) -> (-10/23,-13/30) Hyperbolic Matrix(239,166,920,639) (-16/23,-25/36) -> (1/4,6/23) Hyperbolic Matrix(401,278,1040,721) (-25/36,-9/13) -> (5/13,17/44) Hyperbolic Matrix(3919,2708,5440,3759) (-9/13,-38/55) -> (18/25,67/93) Hyperbolic Matrix(3359,2320,4400,3039) (-38/55,-29/42) -> (29/38,42/55) Hyperbolic Matrix(1281,884,2320,1601) (-29/42,-20/29) -> (16/29,21/38) Hyperbolic Matrix(241,166,-1160,-799) (-20/29,-11/16) -> (-5/24,-6/29) Hyperbolic Matrix(879,602,-1520,-1041) (-11/16,-13/19) -> (-11/19,-37/64) Hyperbolic Matrix(721,492,1760,1201) (-13/19,-15/22) -> (9/22,25/61) Hyperbolic Matrix(881,598,-2120,-1439) (-17/25,-2/3) -> (-32/77,-27/65) Hyperbolic Matrix(79,52,120,79) (-2/3,-13/20) -> (13/20,2/3) Hyperbolic Matrix(321,208,-1480,-959) (-13/20,-11/17) -> (-5/23,-13/60) Hyperbolic Matrix(161,104,1240,801) (-11/17,-31/48) -> (1/8,3/23) Hyperbolic Matrix(2321,1498,-6320,-4079) (-31/48,-20/31) -> (-18/49,-47/128) Hyperbolic Matrix(1439,928,3720,2399) (-20/31,-29/45) -> (29/75,12/31) Hyperbolic Matrix(239,154,1240,799) (-29/45,-9/14) -> (5/26,1/5) Hyperbolic Matrix(1759,1130,2240,1439) (-9/14,-52/81) -> (62/79,11/14) Hyperbolic Matrix(13199,8472,18320,11759) (-52/81,-43/67) -> (67/93,116/161) Hyperbolic Matrix(10319,6622,16080,10319) (-43/67,-77/120) -> (77/120,43/67) Hyperbolic Matrix(8161,5236,12720,8161) (-77/120,-34/53) -> (34/53,77/120) Hyperbolic Matrix(1759,1128,4240,2719) (-34/53,-25/39) -> (17/41,22/53) Hyperbolic Matrix(1121,718,2000,1281) (-25/39,-16/25) -> (14/25,23/41) Hyperbolic Matrix(241,154,-1000,-639) (-16/25,-23/36) -> (-1/4,-6/25) Hyperbolic Matrix(1679,1072,-5640,-3601) (-23/36,-30/47) -> (-14/47,-25/84) Hyperbolic Matrix(961,610,1640,1041) (-7/11,-26/41) -> (24/41,17/29) Hyperbolic Matrix(2559,1622,3280,2079) (-26/41,-45/71) -> (7/9,32/41) Hyperbolic Matrix(2159,1368,5680,3599) (-45/71,-19/30) -> (19/50,27/71) Hyperbolic Matrix(639,404,-1520,-961) (-19/30,-12/19) -> (-8/19,-21/50) Hyperbolic Matrix(1119,706,1520,959) (-12/19,-29/46) -> (25/34,14/19) Hyperbolic Matrix(321,202,1400,881) (-17/27,-22/35) -> (8/35,3/13) Hyperbolic Matrix(399,250,-640,-401) (-22/35,-5/8) -> (-5/8,-28/45) Parabolic Matrix(3839,2388,5400,3359) (-28/45,-51/82) -> (27/38,32/45) Hyperbolic Matrix(9519,5920,-25600,-15921) (-51/82,-74/119) -> (-74/199,-29/78) Hyperbolic Matrix(15919,9898,22000,13679) (-74/119,-23/37) -> (89/123,144/199) Hyperbolic Matrix(4881,3032,7600,4721) (-41/66,-100/161) -> (52/81,9/14) Hyperbolic Matrix(2641,1640,3480,2161) (-59/95,-18/29) -> (22/29,19/25) Hyperbolic Matrix(1441,894,-3480,-2159) (-18/29,-31/50) -> (-29/70,-12/29) Hyperbolic Matrix(1039,644,1160,719) (-31/50,-44/71) -> (8/9,9/10) Hyperbolic Matrix(2001,1240,4520,2801) (-44/71,-57/92) -> (23/52,4/9) Hyperbolic Matrix(401,248,-1680,-1039) (-13/21,-34/55) -> (-6/25,-5/21) Hyperbolic Matrix(1521,940,2720,1681) (-34/55,-21/34) -> (19/34,14/25) Hyperbolic Matrix(81,50,520,321) (-21/34,-8/13) -> (2/13,1/6) Hyperbolic Matrix(559,342,-1440,-881) (-19/31,-11/18) -> (-7/18,-19/49) Hyperbolic Matrix(721,440,-3800,-2319) (-11/18,-36/59) -> (-4/21,-11/58) Hyperbolic Matrix(7199,4392,11800,7199) (-36/59,-61/100) -> (61/100,36/59) Hyperbolic Matrix(4719,2878,8000,4879) (-61/100,-25/41) -> (23/39,59/100) Hyperbolic Matrix(801,488,1840,1121) (-25/41,-14/23) -> (10/23,17/39) Hyperbolic Matrix(319,194,1840,1119) (-14/23,-31/51) -> (5/29,4/23) Hyperbolic Matrix(2399,1458,-6320,-3841) (-31/51,-17/28) -> (-41/108,-11/29) Hyperbolic Matrix(2081,1262,2640,1601) (-17/28,-20/33) -> (26/33,41/52) Hyperbolic Matrix(1681,1018,3040,1841) (-20/33,-23/38) -> (21/38,26/47) Hyperbolic Matrix(801,484,2120,1281) (-23/38,-3/5) -> (17/45,31/82) Hyperbolic Matrix(401,238,1080,641) (-3/5,-16/27) -> (10/27,13/35) Hyperbolic Matrix(399,236,-1760,-1041) (-16/27,-13/22) -> (-5/22,-12/53) Hyperbolic Matrix(1761,1040,2440,1441) (-13/22,-36/61) -> (44/61,13/18) Hyperbolic Matrix(7199,4248,12200,7199) (-36/61,-59/100) -> (59/100,36/61) Hyperbolic Matrix(4879,2878,8000,4719) (-59/100,-23/39) -> (25/41,61/100) Hyperbolic Matrix(961,566,1360,801) (-23/39,-10/17) -> (12/17,29/41) Hyperbolic Matrix(559,328,680,399) (-10/17,-17/29) -> (9/11,14/17) Hyperbolic Matrix(1041,610,1640,961) (-17/29,-24/41) -> (26/41,7/11) Hyperbolic Matrix(3599,2106,4920,2879) (-24/41,-31/53) -> (49/67,30/41) Hyperbolic Matrix(879,514,1640,959) (-31/53,-7/12) -> (15/28,7/13) Hyperbolic Matrix(3599,2096,-9480,-5521) (-7/12,-39/67) -> (-71/187,-41/108) Hyperbolic Matrix(3041,1770,4400,2561) (-39/67,-32/55) -> (38/55,9/13) Hyperbolic Matrix(4959,2882,-11840,-6881) (-25/43,-43/74) -> (-31/74,-49/117) Hyperbolic Matrix(3439,1998,4680,2719) (-43/74,-18/31) -> (36/49,25/34) Hyperbolic Matrix(559,324,-1520,-881) (-18/31,-11/19) -> (-7/19,-18/49) Hyperbolic Matrix(1519,878,3320,1919) (-37/64,-26/45) -> (16/35,11/24) Hyperbolic Matrix(641,370,-1800,-1039) (-26/45,-15/26) -> (-5/14,-16/45) Hyperbolic Matrix(399,230,2080,1199) (-15/26,-34/59) -> (4/21,5/26) Hyperbolic Matrix(2801,1614,7360,4241) (-34/59,-53/92) -> (35/92,8/21) Hyperbolic Matrix(1361,784,7640,4401) (-53/92,-19/33) -> (13/73,5/28) Hyperbolic Matrix(1519,874,2640,1519) (-19/33,-23/40) -> (23/40,19/33) Hyperbolic Matrix(321,184,560,321) (-23/40,-4/7) -> (4/7,23/40) Hyperbolic Matrix(81,46,-280,-159) (-4/7,-9/16) -> (-7/24,-2/7) Hyperbolic Matrix(559,314,1280,719) (-9/16,-23/41) -> (17/39,7/16) Hyperbolic Matrix(1281,718,2000,1121) (-23/41,-14/25) -> (16/25,25/39) Hyperbolic Matrix(1681,940,2720,1521) (-14/25,-19/34) -> (21/34,34/55) Hyperbolic Matrix(721,402,-1720,-959) (-19/34,-5/9) -> (-13/31,-31/74) Hyperbolic Matrix(1359,752,4480,2479) (-5/9,-26/47) -> (10/33,27/89) Hyperbolic Matrix(1841,1018,3040,1681) (-26/47,-21/38) -> (23/38,20/33) Hyperbolic Matrix(1601,884,2320,1281) (-21/38,-16/29) -> (20/29,29/42) Hyperbolic Matrix(639,352,1160,639) (-16/29,-11/20) -> (11/20,16/29) Hyperbolic Matrix(241,132,440,241) (-11/20,-6/11) -> (6/11,11/20) Hyperbolic Matrix(81,44,-440,-239) (-6/11,-7/13) -> (-5/27,-2/11) Hyperbolic Matrix(959,514,1640,879) (-7/13,-15/28) -> (7/12,31/53) Hyperbolic Matrix(1521,814,3440,1841) (-15/28,-23/43) -> (19/43,23/52) Hyperbolic Matrix(1119,598,4040,2159) (-23/43,-8/15) -> (18/65,23/83) Hyperbolic Matrix(79,42,600,319) (-8/15,-9/17) -> (3/23,2/15) Hyperbolic Matrix(561,296,760,401) (-9/17,-1/2) -> (31/42,17/23) Hyperbolic Matrix(161,76,680,321) (-1/2,-8/17) -> (4/17,9/38) Hyperbolic Matrix(81,38,-680,-319) (-8/17,-7/15) -> (-3/25,-2/17) Hyperbolic Matrix(719,334,1720,799) (-7/15,-13/28) -> (5/12,23/55) Hyperbolic Matrix(401,186,-2240,-1039) (-13/28,-6/13) -> (-12/67,-5/28) Hyperbolic Matrix(161,74,-520,-239) (-6/13,-5/11) -> (-9/29,-4/13) Hyperbolic Matrix(719,326,880,399) (-5/11,-19/42) -> (31/38,9/11) Hyperbolic Matrix(1761,796,2480,1121) (-19/42,-14/31) -> (22/31,27/38) Hyperbolic Matrix(559,252,1240,559) (-14/31,-9/20) -> (9/20,14/31) Hyperbolic Matrix(161,72,360,161) (-9/20,-4/9) -> (4/9,9/20) Hyperbolic Matrix(3281,1452,4160,1841) (-4/9,-23/52) -> (41/52,56/71) Hyperbolic Matrix(1841,814,3440,1521) (-23/52,-19/43) -> (23/43,15/28) Hyperbolic Matrix(4559,2014,10320,4559) (-19/43,-53/120) -> (53/120,19/43) Hyperbolic Matrix(8161,3604,18480,8161) (-53/120,-34/77) -> (34/77,53/120) Hyperbolic Matrix(1441,636,5440,2401) (-34/77,-15/34) -> (9/34,22/83) Hyperbolic Matrix(1039,458,2720,1199) (-15/34,-11/25) -> (21/55,13/34) Hyperbolic Matrix(1201,528,1640,721) (-11/25,-18/41) -> (30/41,11/15) Hyperbolic Matrix(721,316,1280,561) (-18/41,-7/16) -> (9/16,22/39) Hyperbolic Matrix(719,314,1280,559) (-7/16,-17/39) -> (23/41,9/16) Hyperbolic Matrix(1121,488,1840,801) (-17/39,-10/23) -> (14/23,25/41) Hyperbolic Matrix(719,310,-2600,-1121) (-16/37,-3/7) -> (-13/47,-34/123) Hyperbolic Matrix(239,102,560,239) (-3/7,-17/40) -> (17/40,3/7) Hyperbolic Matrix(1121,476,2640,1121) (-17/40,-14/33) -> (14/33,17/40) Hyperbolic Matrix(1039,440,1320,559) (-14/33,-11/26) -> (11/14,26/33) Hyperbolic Matrix(161,68,760,321) (-11/26,-8/19) -> (4/19,3/14) Hyperbolic Matrix(81,34,-760,-319) (-21/50,-13/31) -> (-1/9,-1/10) Hyperbolic Matrix(14881,6232,25600,10721) (-49/117,-67/160) -> (93/160,25/43) Hyperbolic Matrix(14879,6230,25600,10719) (-67/160,-18/43) -> (68/117,93/160) Hyperbolic Matrix(961,402,-3440,-1439) (-18/43,-5/12) -> (-19/68,-12/43) Hyperbolic Matrix(3439,1430,9040,3759) (-5/12,-32/77) -> (62/163,35/92) Hyperbolic Matrix(4239,1760,5200,2159) (-27/65,-22/53) -> (22/27,53/65) Hyperbolic Matrix(2719,1128,4240,1759) (-22/53,-17/41) -> (25/39,34/53) Hyperbolic Matrix(4479,1856,7720,3199) (-17/41,-29/70) -> (29/50,47/81) Hyperbolic Matrix(2399,992,3480,1439) (-12/29,-31/75) -> (31/45,20/29) Hyperbolic Matrix(6959,2876,18000,7439) (-31/75,-50/121) -> (46/119,29/75) Hyperbolic Matrix(5281,2182,7360,3041) (-50/121,-19/46) -> (33/46,28/39) Hyperbolic Matrix(959,396,1160,479) (-19/46,-7/17) -> (19/23,5/6) Hyperbolic Matrix(79,32,-200,-81) (-7/17,-2/5) -> (-2/5,-9/23) Parabolic Matrix(1039,406,1840,719) (-9/23,-16/41) -> (22/39,13/23) Hyperbolic Matrix(3281,1280,8000,3121) (-16/41,-39/100) -> (41/100,16/39) Hyperbolic Matrix(4001,1560,-14360,-5599) (-39/100,-23/59) -> (-17/61,-39/140) Hyperbolic Matrix(1119,436,1640,639) (-23/59,-7/18) -> (15/22,13/19) Hyperbolic Matrix(2079,806,2680,1039) (-19/49,-31/80) -> (31/40,7/9) Hyperbolic Matrix(2881,1116,3720,1441) (-31/80,-12/31) -> (24/31,31/40) Hyperbolic Matrix(2399,928,3720,1439) (-12/31,-29/75) -> (29/45,20/31) Hyperbolic Matrix(7439,2876,18000,6959) (-29/75,-46/119) -> (50/121,31/75) Hyperbolic Matrix(4559,1762,-15320,-5921) (-46/119,-17/44) -> (-25/84,-36/121) Hyperbolic Matrix(721,278,1040,401) (-17/44,-5/13) -> (9/13,25/36) Hyperbolic Matrix(2479,950,2920,1119) (-23/60,-18/47) -> (28/33,17/20) Hyperbolic Matrix(8159,3124,11280,4319) (-18/47,-49/128) -> (81/112,34/47) Hyperbolic Matrix(9039,3460,14000,5359) (-49/128,-31/81) -> (51/79,31/48) Hyperbolic Matrix(8159,3122,-27600,-10561) (-31/81,-44/115) -> (-34/115,-47/159) Hyperbolic Matrix(2959,1132,6480,2479) (-44/115,-13/34) -> (21/46,16/35) Hyperbolic Matrix(1199,458,2720,1039) (-13/34,-21/55) -> (11/25,15/34) Hyperbolic Matrix(3359,1282,-12160,-4641) (-21/55,-29/76) -> (-21/76,-29/105) Hyperbolic Matrix(4241,1614,7360,2801) (-8/21,-35/92) -> (53/92,34/59) Hyperbolic Matrix(3681,1400,-13880,-5279) (-35/92,-27/71) -> (-13/49,-35/132) Hyperbolic Matrix(3599,1368,5680,2159) (-27/71,-19/50) -> (19/30,45/71) Hyperbolic Matrix(4001,1520,6320,2401) (-19/50,-30/79) -> (50/79,19/30) Hyperbolic Matrix(13121,4982,20440,7761) (-30/79,-71/187) -> (43/67,52/81) Hyperbolic Matrix(401,152,1480,561) (-11/29,-14/37) -> (10/37,3/11) Hyperbolic Matrix(239,90,-640,-241) (-14/37,-3/8) -> (-3/8,-16/43) Parabolic Matrix(6801,2530,9680,3601) (-16/43,-45/121) -> (85/121,26/37) Hyperbolic Matrix(64321,23920,102400,38081) (-45/121,-119/320) -> (201/320,125/199) Hyperbolic Matrix(64319,23918,102400,38079) (-119/320,-74/199) -> (76/121,201/320) Hyperbolic Matrix(1039,386,1720,639) (-29/78,-13/35) -> (3/5,23/38) Hyperbolic Matrix(641,238,1080,401) (-13/35,-10/27) -> (16/27,3/5) Hyperbolic Matrix(319,118,2160,799) (-10/27,-27/73) -> (1/7,4/27) Hyperbolic Matrix(4561,1686,11040,4081) (-44/119,-17/46) -> (19/46,50/121) Hyperbolic Matrix(401,148,1520,561) (-17/46,-7/19) -> (5/19,9/34) Hyperbolic Matrix(7839,2878,20480,7519) (-47/128,-29/79) -> (31/81,49/128) Hyperbolic Matrix(3919,1438,6320,2319) (-29/79,-11/30) -> (31/50,49/79) Hyperbolic Matrix(3521,1290,5680,2081) (-11/30,-26/71) -> (44/71,31/50) Hyperbolic Matrix(159,58,-880,-321) (-15/41,-4/11) -> (-2/11,-7/39) Hyperbolic Matrix(879,316,2000,719) (-9/25,-14/39) -> (18/41,11/25) Hyperbolic Matrix(2481,890,4240,1521) (-14/39,-19/53) -> (31/53,24/41) Hyperbolic Matrix(721,258,-2680,-959) (-19/53,-5/14) -> (-7/26,-25/93) Hyperbolic Matrix(1999,710,-6760,-2401) (-16/45,-11/31) -> (-21/71,-34/115) Hyperbolic Matrix(79,28,-680,-241) (-11/31,-6/17) -> (-2/17,-1/9) Hyperbolic Matrix(239,84,680,239) (-6/17,-7/20) -> (7/20,6/17) Hyperbolic Matrix(1441,502,1840,641) (-7/20,-8/23) -> (18/23,47/60) Hyperbolic Matrix(1039,330,1760,559) (-7/22,-6/19) -> (36/61,13/22) Hyperbolic Matrix(159,50,760,239) (-6/19,-5/16) -> (5/24,4/19) Hyperbolic Matrix(879,274,1280,399) (-5/16,-14/45) -> (24/35,11/16) Hyperbolic Matrix(399,124,-2320,-721) (-14/45,-9/29) -> (-5/29,-6/35) Hyperbolic Matrix(399,122,520,159) (-4/13,-7/23) -> (13/17,10/13) Hyperbolic Matrix(1441,438,6320,1921) (-7/23,-24/79) -> (18/79,13/57) Hyperbolic Matrix(4479,1360,6320,1919) (-24/79,-17/56) -> (17/24,56/79) Hyperbolic Matrix(5041,1530,7120,2161) (-17/56,-27/89) -> (63/89,17/24) Hyperbolic Matrix(2479,752,4480,1359) (-27/89,-10/33) -> (26/47,5/9) Hyperbolic Matrix(239,72,-800,-241) (-10/33,-3/10) -> (-3/10,-14/47) Parabolic Matrix(6079,1808,9680,2879) (-36/121,-11/37) -> (27/43,76/121) Hyperbolic Matrix(559,166,2960,879) (-11/37,-19/64) -> (3/16,7/37) Hyperbolic Matrix(1919,568,3240,959) (-8/27,-21/71) -> (29/49,16/27) Hyperbolic Matrix(13121,3878,18680,5521) (-47/159,-13/44) -> (59/84,85/121) Hyperbolic Matrix(799,236,1080,319) (-13/44,-5/17) -> (17/23,3/4) Hyperbolic Matrix(559,164,1360,399) (-5/17,-12/41) -> (16/39,7/17) Hyperbolic Matrix(719,210,1640,479) (-12/41,-7/24) -> (7/16,18/41) Hyperbolic Matrix(1119,314,-4280,-1201) (-16/57,-7/25) -> (-17/65,-6/23) Hyperbolic Matrix(801,224,1720,481) (-7/25,-19/68) -> (13/28,7/15) Hyperbolic Matrix(2561,714,3160,881) (-12/43,-17/61) -> (17/21,30/37) Hyperbolic Matrix(12479,3476,30440,8479) (-39/140,-22/79) -> (66/161,41/100) Hyperbolic Matrix(719,200,3160,879) (-22/79,-5/18) -> (5/22,18/79) Hyperbolic Matrix(159,44,-1160,-321) (-5/18,-13/47) -> (-1/7,-3/22) Hyperbolic Matrix(8321,2300,22000,6081) (-34/123,-55/199) -> (45/119,14/37) Hyperbolic Matrix(20401,5638,35320,9761) (-55/199,-21/76) -> (67/116,93/161) Hyperbolic Matrix(5679,1568,7240,1999) (-29/105,-8/29) -> (40/51,51/65) Hyperbolic Matrix(639,176,2320,639) (-8/29,-11/40) -> (11/40,8/29) Hyperbolic Matrix(241,66,880,241) (-11/40,-3/11) -> (3/11,11/40) Hyperbolic Matrix(561,152,1480,401) (-3/11,-10/37) -> (14/37,11/29) Hyperbolic Matrix(319,86,1480,399) (-10/37,-7/26) -> (3/14,8/37) Hyperbolic Matrix(18721,5032,25600,6881) (-25/93,-43/160) -> (117/160,49/67) Hyperbolic Matrix(18719,5030,25600,6879) (-43/160,-18/67) -> (68/93,117/160) Hyperbolic Matrix(961,258,-5360,-1439) (-18/67,-11/41) -> (-7/39,-12/67) Hyperbolic Matrix(479,128,-1800,-481) (-15/56,-4/15) -> (-4/15,-17/64) Parabolic Matrix(2561,680,8440,2241) (-17/64,-13/49) -> (27/89,17/56) Hyperbolic Matrix(16801,4454,23240,6161) (-35/132,-22/83) -> (60/83,107/148) Hyperbolic Matrix(2401,636,5440,1441) (-22/83,-9/34) -> (15/34,34/77) Hyperbolic Matrix(561,148,1520,401) (-9/34,-5/19) -> (7/19,17/46) Hyperbolic Matrix(4721,1240,6400,1681) (-5/19,-21/80) -> (59/80,45/61) Hyperbolic Matrix(4719,1238,6400,1679) (-21/80,-16/61) -> (14/19,59/80) Hyperbolic Matrix(4241,1110,5200,1361) (-11/42,-17/65) -> (53/65,31/38) Hyperbolic Matrix(639,166,920,239) (-6/23,-1/4) -> (25/36,16/23) Hyperbolic Matrix(4881,1160,6400,1521) (-5/21,-19/80) -> (61/80,45/59) Hyperbolic Matrix(4879,1158,6400,1519) (-19/80,-14/59) -> (16/21,61/80) Hyperbolic Matrix(321,76,680,161) (-9/38,-4/17) -> (8/17,1/2) Hyperbolic Matrix(479,112,680,159) (-4/17,-3/13) -> (19/27,12/17) Hyperbolic Matrix(881,202,1400,321) (-3/13,-8/35) -> (22/35,17/27) Hyperbolic Matrix(561,128,3160,721) (-8/35,-13/57) -> (3/17,8/45) Hyperbolic Matrix(1921,438,6320,1441) (-13/57,-18/79) -> (24/79,7/23) Hyperbolic Matrix(879,200,3160,719) (-18/79,-5/22) -> (5/18,22/79) Hyperbolic Matrix(1361,308,4600,1041) (-12/53,-7/31) -> (21/71,8/27) Hyperbolic Matrix(559,126,2480,559) (-7/31,-9/40) -> (9/40,7/31) Hyperbolic Matrix(161,36,720,161) (-9/40,-2/9) -> (2/9,9/40) Hyperbolic Matrix(319,70,360,79) (-2/9,-7/32) -> (7/8,8/9) Hyperbolic Matrix(4559,994,6600,1439) (-12/55,-17/78) -> (29/42,38/55) Hyperbolic Matrix(1921,416,2960,641) (-13/60,-8/37) -> (24/37,13/20) Hyperbolic Matrix(399,86,1480,319) (-8/37,-3/14) -> (7/26,10/37) Hyperbolic Matrix(321,68,760,161) (-3/14,-4/19) -> (8/19,11/26) Hyperbolic Matrix(239,50,760,159) (-4/19,-5/24) -> (5/16,6/19) Hyperbolic Matrix(959,198,2320,479) (-6/29,-1/5) -> (31/75,12/29) Hyperbolic Matrix(799,154,1240,239) (-1/5,-5/26) -> (9/14,29/45) Hyperbolic Matrix(1199,230,2080,399) (-5/26,-4/21) -> (34/59,15/26) Hyperbolic Matrix(1519,288,5480,1039) (-11/58,-7/37) -> (23/83,5/18) Hyperbolic Matrix(1041,196,1280,241) (-7/37,-3/16) -> (13/16,35/43) Hyperbolic Matrix(1039,194,1280,239) (-3/16,-8/43) -> (30/37,13/16) Hyperbolic Matrix(4401,784,7640,1361) (-5/28,-13/73) -> (19/33,53/92) Hyperbolic Matrix(2561,456,3600,641) (-13/73,-8/45) -> (32/45,5/7) Hyperbolic Matrix(721,128,3160,561) (-8/45,-3/17) -> (13/57,8/35) Hyperbolic Matrix(239,42,1360,239) (-3/17,-7/40) -> (7/40,3/17) Hyperbolic Matrix(321,56,1840,321) (-7/40,-4/23) -> (4/23,7/40) Hyperbolic Matrix(1119,194,1840,319) (-4/23,-5/29) -> (31/51,14/23) Hyperbolic Matrix(719,122,1880,319) (-6/35,-1/6) -> (13/34,44/115) Hyperbolic Matrix(321,50,520,81) (-1/6,-2/13) -> (8/13,21/34) Hyperbolic Matrix(79,12,520,79) (-2/13,-3/20) -> (3/20,2/13) Hyperbolic Matrix(161,24,1080,161) (-3/20,-4/27) -> (4/27,3/20) Hyperbolic Matrix(799,118,2160,319) (-4/27,-1/7) -> (27/73,10/27) Hyperbolic Matrix(1441,196,2360,321) (-3/22,-5/37) -> (47/77,11/18) Hyperbolic Matrix(641,86,1200,161) (-5/37,-2/15) -> (8/15,23/43) Hyperbolic Matrix(319,42,600,79) (-2/15,-3/23) -> (9/17,8/15) Hyperbolic Matrix(801,104,1240,161) (-3/23,-1/8) -> (31/48,11/17) Hyperbolic Matrix(2401,290,3320,401) (-1/8,-3/25) -> (47/65,81/112) Hyperbolic Matrix(319,30,840,79) (-1/10,0/1) -> (30/79,19/50) Hyperbolic Matrix(481,-50,760,-79) (0/1,1/9) -> (31/49,50/79) Hyperbolic Matrix(241,-28,680,-79) (1/9,1/8) -> (17/48,11/31) Hyperbolic Matrix(321,-44,1160,-159) (2/15,1/7) -> (13/47,18/65) Hyperbolic Matrix(639,-110,1400,-241) (1/6,5/29) -> (5/11,21/46) Hyperbolic Matrix(321,-58,880,-159) (5/28,2/11) -> (4/11,19/52) Hyperbolic Matrix(239,-44,440,-81) (2/11,3/16) -> (13/24,6/11) Hyperbolic Matrix(2319,-440,3800,-721) (7/37,4/21) -> (36/59,47/77) Hyperbolic Matrix(799,-166,1160,-241) (1/5,5/24) -> (11/16,31/45) Hyperbolic Matrix(959,-208,1480,-321) (8/37,5/23) -> (11/17,24/37) Hyperbolic Matrix(1841,-402,2560,-559) (5/23,7/32) -> (23/32,41/57) Hyperbolic Matrix(1041,-236,1760,-399) (7/31,5/22) -> (13/22,29/49) Hyperbolic Matrix(2319,-550,3040,-721) (9/38,5/21) -> (45/59,29/38) Hyperbolic Matrix(639,-154,1000,-241) (5/21,1/4) -> (23/36,39/61) Hyperbolic Matrix(1599,-418,1840,-481) (6/23,11/42) -> (33/38,20/23) Hyperbolic Matrix(2479,-650,3360,-881) (11/42,5/19) -> (45/61,31/42) Hyperbolic Matrix(5279,-1400,13880,-3681) (22/83,13/49) -> (27/71,62/163) Hyperbolic Matrix(3199,-850,4520,-1201) (13/49,4/15) -> (46/65,63/89) Hyperbolic Matrix(2321,-622,3280,-879) (4/15,11/41) -> (29/41,46/65) Hyperbolic Matrix(1519,-408,3280,-881) (11/41,18/67) -> (6/13,19/41) Hyperbolic Matrix(3041,-818,4160,-1119) (18/67,7/26) -> (19/26,68/93) Hyperbolic Matrix(1759,-486,2320,-641) (8/29,21/76) -> (3/4,22/29) Hyperbolic Matrix(5281,-1460,7520,-2079) (21/76,13/47) -> (33/47,59/84) Hyperbolic Matrix(6001,-1672,14640,-4079) (22/79,17/61) -> (25/61,66/161) Hyperbolic Matrix(1439,-402,3440,-961) (12/43,7/25) -> (23/55,18/43) Hyperbolic Matrix(241,-68,280,-79) (7/25,2/7) -> (6/7,13/15) Hyperbolic Matrix(159,-46,280,-81) (2/7,5/17) -> (13/23,4/7) Hyperbolic Matrix(6561,-1940,11360,-3359) (13/44,21/71) -> (41/71,67/116) Hyperbolic Matrix(1759,-522,2160,-641) (8/27,11/37) -> (35/43,22/27) Hyperbolic Matrix(241,-72,800,-239) (11/37,3/10) -> (3/10,13/43) Parabolic Matrix(4399,-1332,6080,-1841) (13/43,10/33) -> (34/47,89/123) Hyperbolic Matrix(239,-74,520,-161) (4/13,5/16) -> (11/24,6/13) Hyperbolic Matrix(721,-230,1000,-319) (6/19,1/3) -> (31/43,44/61) Hyperbolic Matrix(721,-250,920,-319) (1/3,7/20) -> (47/60,29/37) Hyperbolic Matrix(639,-226,1360,-481) (6/17,17/48) -> (15/32,8/17) Hyperbolic Matrix(1039,-370,1800,-641) (11/31,5/14) -> (15/26,41/71) Hyperbolic Matrix(321,-116,440,-159) (5/14,4/11) -> (8/11,19/26) Hyperbolic Matrix(1521,-556,3280,-1199) (19/52,15/41) -> (19/41,13/28) Hyperbolic Matrix(399,-146,440,-161) (15/41,11/30) -> (9/10,1/1) Hyperbolic Matrix(881,-324,1520,-559) (11/30,7/19) -> (11/19,29/50) Hyperbolic Matrix(2639,-976,3680,-1361) (17/46,27/73) -> (5/7,33/46) Hyperbolic Matrix(241,-90,640,-239) (13/35,3/8) -> (3/8,17/45) Parabolic Matrix(16081,-6080,25600,-9679) (31/82,45/119) -> (125/199,49/78) Hyperbolic Matrix(3841,-1458,6320,-2399) (11/29,30/79) -> (48/79,31/51) Hyperbolic Matrix(1279,-488,1680,-641) (8/21,21/55) -> (19/25,16/21) Hyperbolic Matrix(12801,-4898,22160,-8479) (44/115,31/81) -> (93/161,26/45) Hyperbolic Matrix(881,-338,1040,-399) (18/47,5/13) -> (11/13,28/33) Hyperbolic Matrix(12881,-4978,17800,-6879) (17/44,46/119) -> (144/199,55/76) Hyperbolic Matrix(959,-372,1240,-481) (12/31,7/18) -> (17/22,24/31) Hyperbolic Matrix(81,-32,200,-79) (7/18,2/5) -> (2/5,9/22) Parabolic Matrix(2159,-894,3480,-1441) (12/29,17/41) -> (49/79,18/29) Hyperbolic Matrix(7519,-3124,10400,-4321) (27/65,5/12) -> (107/148,47/65) Hyperbolic Matrix(959,-402,1720,-721) (18/43,13/31) -> (5/9,24/43) Hyperbolic Matrix(961,-404,1520,-639) (13/31,8/19) -> (12/19,31/49) Hyperbolic Matrix(641,-278,920,-399) (3/7,10/23) -> (16/23,23/33) Hyperbolic Matrix(1041,-562,1480,-799) (7/13,13/24) -> (45/64,19/27) Hyperbolic Matrix(4161,-2324,7160,-3999) (24/43,19/34) -> (43/74,68/117) Hyperbolic Matrix(1041,-602,1520,-879) (26/45,11/19) -> (13/19,24/35) Hyperbolic Matrix(3201,-1858,4960,-2879) (47/81,18/31) -> (20/31,51/79) Hyperbolic Matrix(2479,-1442,3440,-2001) (25/43,7/12) -> (49/68,31/43) Hyperbolic Matrix(7119,-4324,9880,-6001) (17/28,48/79) -> (116/161,49/68) Hyperbolic Matrix(401,-246,520,-319) (11/18,8/13) -> (10/13,17/22) Hyperbolic Matrix(2481,-1534,3880,-2399) (34/55,13/21) -> (39/61,16/25) Hyperbolic Matrix(2241,-1388,2840,-1759) (13/21,44/71) -> (56/71,15/19) Hyperbolic Matrix(2321,-1442,2960,-1839) (18/29,23/37) -> (29/37,40/51) Hyperbolic Matrix(401,-250,640,-399) (23/37,5/8) -> (5/8,27/43) Parabolic Matrix(641,-404,760,-479) (17/27,12/19) -> (16/19,11/13) Hyperbolic Matrix(1361,-868,1880,-1199) (7/11,23/36) -> (55/76,21/29) Hyperbolic Matrix(1359,-926,1880,-1281) (2/3,15/22) -> (13/18,60/83) Hyperbolic Matrix(561,-392,800,-559) (23/33,7/10) -> (7/10,33/47) Parabolic Matrix(7439,-5274,9480,-6721) (56/79,39/55) -> (51/65,62/79) Hyperbolic Matrix(2719,-1956,3560,-2561) (41/57,18/25) -> (42/55,13/17) Hyperbolic Matrix(801,-626,920,-719) (25/32,18/23) -> (20/23,7/8) Hyperbolic Matrix(161,-128,200,-159) (15/19,4/5) -> (4/5,17/21) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-2,1) Matrix(161,146,-440,-399) -> Matrix(3,-2,2,-1) Matrix(79,70,360,319) -> Matrix(1,-2,0,1) Matrix(79,68,-280,-241) -> Matrix(1,0,-2,1) Matrix(239,204,280,239) -> Matrix(1,0,-2,1) Matrix(399,338,-1040,-881) -> Matrix(3,-4,-2,3) Matrix(479,404,-760,-641) -> Matrix(1,-2,2,-3) Matrix(479,396,1160,959) -> Matrix(1,-8,0,1) Matrix(1519,1254,1840,1519) -> Matrix(1,-18,0,1) Matrix(1121,924,1360,1121) -> Matrix(1,10,0,1) Matrix(399,328,680,559) -> Matrix(1,2,-2,-3) Matrix(399,326,880,719) -> Matrix(1,-2,0,1) Matrix(2639,2152,3040,2479) -> Matrix(1,0,2,1) Matrix(2159,1760,5200,4239) -> Matrix(1,-2,0,1) Matrix(641,522,-2160,-1759) -> Matrix(1,-2,0,1) Matrix(159,128,-200,-161) -> Matrix(1,0,0,1) Matrix(2559,2024,3640,2879) -> Matrix(1,0,4,1) Matrix(959,758,3440,2719) -> Matrix(1,0,0,1) Matrix(1759,1388,-2840,-2241) -> Matrix(1,0,0,1) Matrix(1601,1262,2640,2081) -> Matrix(1,0,0,1) Matrix(559,440,1320,1039) -> Matrix(3,-4,-2,3) Matrix(1839,1442,-2960,-2321) -> Matrix(1,-2,0,1) Matrix(319,250,-920,-721) -> Matrix(1,-4,0,1) Matrix(719,562,-2560,-2001) -> Matrix(1,-2,-2,5) Matrix(1839,1436,2560,1999) -> Matrix(1,0,0,1) Matrix(2079,1622,3280,2559) -> Matrix(1,0,-2,1) Matrix(319,246,-520,-401) -> Matrix(1,2,0,1) Matrix(159,122,520,399) -> Matrix(1,0,0,1) Matrix(479,366,-2200,-1681) -> Matrix(1,2,-2,-3) Matrix(721,550,-3040,-2319) -> Matrix(7,8,-8,-9) Matrix(641,488,-1680,-1279) -> Matrix(3,2,-2,-1) Matrix(319,236,1080,799) -> Matrix(3,-2,2,-1) Matrix(401,296,760,561) -> Matrix(5,-4,-6,5) Matrix(881,650,-3360,-2479) -> Matrix(11,-10,10,-9) Matrix(639,470,760,559) -> Matrix(3,-4,-2,3) Matrix(2719,1998,4680,3439) -> Matrix(3,-8,-4,11) Matrix(2241,1646,3160,2321) -> Matrix(1,-2,2,-3) Matrix(159,116,-440,-321) -> Matrix(1,0,0,1) Matrix(639,464,880,639) -> Matrix(1,-4,0,1) Matrix(1681,1218,2320,1681) -> Matrix(1,10,0,1) Matrix(1199,868,-1880,-1361) -> Matrix(1,4,2,9) Matrix(4319,3124,11280,8159) -> Matrix(1,2,2,5) Matrix(1759,1272,3760,2719) -> Matrix(3,8,-2,-5) Matrix(1281,926,-1880,-1359) -> Matrix(1,2,0,1) Matrix(319,230,-1000,-721) -> Matrix(1,0,2,1) Matrix(2001,1442,-3440,-2479) -> Matrix(1,-2,2,-3) Matrix(559,402,-2560,-1841) -> Matrix(1,0,0,1) Matrix(1999,1436,2560,1839) -> Matrix(1,0,0,1) Matrix(1361,976,-3680,-2639) -> Matrix(1,0,2,1) Matrix(641,456,3600,2561) -> Matrix(3,2,4,3) Matrix(3041,2162,4840,3441) -> Matrix(1,0,0,1) Matrix(1121,796,2480,1761) -> Matrix(7,4,-2,-1) Matrix(2321,1646,3160,2241) -> Matrix(3,2,-2,-1) Matrix(10161,7204,-16360,-11599) -> Matrix(1,0,2,1) Matrix(1919,1360,6320,4479) -> Matrix(3,2,-2,-1) Matrix(879,622,-3280,-2321) -> Matrix(1,0,2,1) Matrix(801,566,1360,961) -> Matrix(3,2,-8,-5) Matrix(159,112,680,479) -> Matrix(1,0,4,1) Matrix(401,282,-2160,-1519) -> Matrix(1,0,4,1) Matrix(641,450,-1480,-1039) -> Matrix(1,0,6,1) Matrix(399,278,-920,-641) -> Matrix(1,0,-4,1) Matrix(239,166,920,639) -> Matrix(5,-2,-2,1) Matrix(401,278,1040,721) -> Matrix(3,-2,2,-1) Matrix(3919,2708,5440,3759) -> Matrix(1,0,-2,1) Matrix(3359,2320,4400,3039) -> Matrix(5,-4,4,-3) Matrix(1281,884,2320,1601) -> Matrix(1,0,0,1) Matrix(241,166,-1160,-799) -> Matrix(3,-2,2,-1) Matrix(879,602,-1520,-1041) -> Matrix(1,-2,2,-3) Matrix(721,492,1760,1201) -> Matrix(1,-2,0,1) Matrix(881,598,-2120,-1439) -> Matrix(1,2,0,1) Matrix(79,52,120,79) -> Matrix(1,0,0,1) Matrix(321,208,-1480,-959) -> Matrix(1,0,-8,1) Matrix(161,104,1240,801) -> Matrix(1,0,-4,1) Matrix(2321,1498,-6320,-4079) -> Matrix(9,-2,14,-3) Matrix(1439,928,3720,2399) -> Matrix(15,-4,4,-1) Matrix(239,154,1240,799) -> Matrix(7,-2,4,-1) Matrix(1759,1130,2240,1439) -> Matrix(5,-2,-2,1) Matrix(13199,8472,18320,11759) -> Matrix(1,0,-2,1) Matrix(10319,6622,16080,10319) -> Matrix(1,0,-2,1) Matrix(8161,5236,12720,8161) -> Matrix(1,0,-8,1) Matrix(1759,1128,4240,2719) -> Matrix(9,-2,-4,1) Matrix(1121,718,2000,1281) -> Matrix(1,0,-2,1) Matrix(241,154,-1000,-639) -> Matrix(5,-2,-2,1) Matrix(1679,1072,-5640,-3601) -> Matrix(9,-4,-2,1) Matrix(961,610,1640,1041) -> Matrix(3,-2,-4,3) Matrix(2559,1622,3280,2079) -> Matrix(1,0,-2,1) Matrix(2159,1368,5680,3599) -> Matrix(1,0,0,1) Matrix(639,404,-1520,-961) -> Matrix(5,-4,4,-3) Matrix(1119,706,1520,959) -> Matrix(1,-2,0,1) Matrix(321,202,1400,881) -> Matrix(1,0,0,1) Matrix(399,250,-640,-401) -> Matrix(3,-2,2,-1) Matrix(3839,2388,5400,3359) -> Matrix(1,-2,2,-3) Matrix(9519,5920,-25600,-15921) -> Matrix(1,-2,2,-3) Matrix(15919,9898,22000,13679) -> Matrix(1,2,0,1) Matrix(4881,3032,7600,4721) -> Matrix(1,0,-2,1) Matrix(2641,1640,3480,2161) -> Matrix(1,0,2,1) Matrix(1441,894,-3480,-2159) -> Matrix(7,-4,2,-1) Matrix(1039,644,1160,719) -> Matrix(3,-4,-2,3) Matrix(2001,1240,4520,2801) -> Matrix(1,-2,0,1) Matrix(401,248,-1680,-1039) -> Matrix(3,-4,-2,3) Matrix(1521,940,2720,1681) -> Matrix(1,-2,2,-3) Matrix(81,50,520,321) -> Matrix(1,-2,0,1) Matrix(559,342,-1440,-881) -> Matrix(1,2,0,1) Matrix(721,440,-3800,-2319) -> Matrix(3,4,-4,-5) Matrix(7199,4392,11800,7199) -> Matrix(9,10,8,9) Matrix(4719,2878,8000,4879) -> Matrix(7,6,-20,-17) Matrix(801,488,1840,1121) -> Matrix(1,0,2,1) Matrix(319,194,1840,1119) -> Matrix(1,0,-2,1) Matrix(2399,1458,-6320,-3841) -> Matrix(1,0,-2,1) Matrix(2081,1262,2640,1601) -> Matrix(1,0,0,1) Matrix(1681,1018,3040,1841) -> Matrix(1,0,2,1) Matrix(801,484,2120,1281) -> Matrix(1,0,2,1) Matrix(401,238,1080,641) -> Matrix(1,0,-4,1) Matrix(399,236,-1760,-1041) -> Matrix(1,0,-6,1) Matrix(1761,1040,2440,1441) -> Matrix(7,-2,4,-1) Matrix(7199,4248,12200,7199) -> Matrix(25,-8,-78,25) Matrix(4879,2878,8000,4719) -> Matrix(17,-6,20,-7) Matrix(961,566,1360,801) -> Matrix(5,-2,8,-3) Matrix(559,328,680,399) -> Matrix(3,-2,2,-1) Matrix(1041,610,1640,961) -> Matrix(3,-2,-4,3) Matrix(3599,2106,4920,2879) -> Matrix(1,0,-2,1) Matrix(879,514,1640,959) -> Matrix(3,-2,-4,3) Matrix(3599,2096,-9480,-5521) -> Matrix(3,-2,-4,3) Matrix(3041,1770,4400,2561) -> Matrix(3,-2,-4,3) Matrix(4959,2882,-11840,-6881) -> Matrix(41,-28,22,-15) Matrix(3439,1998,4680,2719) -> Matrix(11,-8,-4,3) Matrix(559,324,-1520,-881) -> Matrix(3,-2,2,-1) Matrix(1519,878,3320,1919) -> Matrix(1,0,-2,1) Matrix(641,370,-1800,-1039) -> Matrix(5,-4,4,-3) Matrix(399,230,2080,1199) -> Matrix(7,-6,6,-5) Matrix(2801,1614,7360,4241) -> Matrix(5,-4,4,-3) Matrix(1361,784,7640,4401) -> Matrix(7,-6,6,-5) Matrix(1519,874,2640,1519) -> Matrix(19,-18,-20,19) Matrix(321,184,560,321) -> Matrix(3,-4,-2,3) Matrix(81,46,-280,-159) -> Matrix(1,-2,0,1) Matrix(559,314,1280,719) -> Matrix(1,2,0,1) Matrix(1281,718,2000,1121) -> Matrix(1,0,-2,1) Matrix(1681,940,2720,1521) -> Matrix(3,2,-2,-1) Matrix(721,402,-1720,-959) -> Matrix(3,-2,2,-1) Matrix(1359,752,4480,2479) -> Matrix(1,-2,0,1) Matrix(1841,1018,3040,1681) -> Matrix(1,0,2,1) Matrix(1601,884,2320,1281) -> Matrix(1,0,0,1) Matrix(639,352,1160,639) -> Matrix(1,0,4,1) Matrix(241,132,440,241) -> Matrix(1,0,-4,1) Matrix(81,44,-440,-239) -> Matrix(1,0,-2,1) Matrix(959,514,1640,879) -> Matrix(3,-2,-4,3) Matrix(1521,814,3440,1841) -> Matrix(1,0,-2,1) Matrix(1119,598,4040,2159) -> Matrix(1,0,2,1) Matrix(79,42,600,319) -> Matrix(3,-2,2,-1) Matrix(561,296,760,401) -> Matrix(5,-4,-6,5) Matrix(161,76,680,321) -> Matrix(3,-4,4,-5) Matrix(81,38,-680,-319) -> Matrix(1,-2,2,-3) Matrix(719,334,1720,799) -> Matrix(1,-4,0,1) Matrix(401,186,-2240,-1039) -> Matrix(1,-2,-2,5) Matrix(161,74,-520,-239) -> Matrix(1,0,0,1) Matrix(719,326,880,399) -> Matrix(1,-2,0,1) Matrix(1761,796,2480,1121) -> Matrix(1,-4,2,-7) Matrix(559,252,1240,559) -> Matrix(1,-8,0,1) Matrix(161,72,360,161) -> Matrix(1,0,0,1) Matrix(3281,1452,4160,1841) -> Matrix(1,-2,0,1) Matrix(1841,814,3440,1521) -> Matrix(1,0,-2,1) Matrix(4559,2014,10320,4559) -> Matrix(1,-2,0,1) Matrix(8161,3604,18480,8161) -> Matrix(1,0,0,1) Matrix(1441,636,5440,2401) -> Matrix(1,0,-2,1) Matrix(1039,458,2720,1199) -> Matrix(1,0,0,1) Matrix(1201,528,1640,721) -> Matrix(1,-2,0,1) Matrix(721,316,1280,561) -> Matrix(1,-2,0,1) Matrix(719,314,1280,559) -> Matrix(1,2,0,1) Matrix(1121,488,1840,801) -> Matrix(1,0,2,1) Matrix(719,310,-2600,-1121) -> Matrix(1,0,-6,1) Matrix(239,102,560,239) -> Matrix(1,0,-2,1) Matrix(1121,476,2640,1121) -> Matrix(9,-10,-8,9) Matrix(1039,440,1320,559) -> Matrix(3,-4,-2,3) Matrix(161,68,760,321) -> Matrix(1,-2,0,1) Matrix(81,34,-760,-319) -> Matrix(1,-2,2,-3) Matrix(14881,6232,25600,10721) -> Matrix(29,-56,-44,85) Matrix(14879,6230,25600,10719) -> Matrix(23,-48,-34,71) Matrix(961,402,-3440,-1439) -> Matrix(1,-2,-2,5) Matrix(3439,1430,9040,3759) -> Matrix(1,-4,2,-7) Matrix(4239,1760,5200,2159) -> Matrix(1,-2,0,1) Matrix(2719,1128,4240,1759) -> Matrix(1,-2,-4,9) Matrix(4479,1856,7720,3199) -> Matrix(5,-14,-6,17) Matrix(2399,992,3480,1439) -> Matrix(1,-4,-2,9) Matrix(6959,2876,18000,7439) -> Matrix(1,-2,0,1) Matrix(5281,2182,7360,3041) -> Matrix(1,-4,0,1) Matrix(959,396,1160,479) -> Matrix(1,-8,0,1) Matrix(79,32,-200,-81) -> Matrix(1,-2,0,1) Matrix(1039,406,1840,719) -> Matrix(1,0,0,1) Matrix(3281,1280,8000,3121) -> Matrix(1,0,0,1) Matrix(4001,1560,-14360,-5599) -> Matrix(1,2,-2,-3) Matrix(1119,436,1640,639) -> Matrix(1,0,0,1) Matrix(2079,806,2680,1039) -> Matrix(1,-10,0,1) Matrix(2881,1116,3720,1441) -> Matrix(1,16,0,1) Matrix(2399,928,3720,1439) -> Matrix(1,4,-4,-15) Matrix(7439,2876,18000,6959) -> Matrix(1,-2,0,1) Matrix(4559,1762,-15320,-5921) -> Matrix(1,0,0,1) Matrix(721,278,1040,401) -> Matrix(1,2,-2,-3) Matrix(2479,950,2920,1119) -> Matrix(7,6,-6,-5) Matrix(8159,3124,11280,4319) -> Matrix(5,2,2,1) Matrix(9039,3460,14000,5359) -> Matrix(1,0,-4,1) Matrix(8159,3122,-27600,-10561) -> Matrix(3,2,-2,-1) Matrix(2959,1132,6480,2479) -> Matrix(3,2,-2,-1) Matrix(1199,458,2720,1039) -> Matrix(1,0,0,1) Matrix(3359,1282,-12160,-4641) -> Matrix(1,2,-6,-11) Matrix(4241,1614,7360,2801) -> Matrix(3,4,-4,-5) Matrix(3681,1400,-13880,-5279) -> Matrix(3,2,4,3) Matrix(3599,1368,5680,2159) -> Matrix(1,0,0,1) Matrix(4001,1520,6320,2401) -> Matrix(5,2,-8,-3) Matrix(13121,4982,20440,7761) -> Matrix(1,0,0,1) Matrix(401,152,1480,561) -> Matrix(1,0,0,1) Matrix(239,90,-640,-241) -> Matrix(1,0,2,1) Matrix(6801,2530,9680,3601) -> Matrix(1,0,2,1) Matrix(64321,23920,102400,38081) -> Matrix(5,-2,-12,5) Matrix(64319,23918,102400,38079) -> Matrix(3,-2,-4,3) Matrix(1039,386,1720,639) -> Matrix(1,0,0,1) Matrix(641,238,1080,401) -> Matrix(1,0,-4,1) Matrix(319,118,2160,799) -> Matrix(3,-2,2,-1) Matrix(4561,1686,11040,4081) -> Matrix(9,-4,-2,1) Matrix(401,148,1520,561) -> Matrix(3,-2,-4,3) Matrix(7839,2878,20480,7519) -> Matrix(3,-2,2,-1) Matrix(3919,1438,6320,2319) -> Matrix(5,-4,-6,5) Matrix(3521,1290,5680,2081) -> Matrix(5,-6,-4,5) Matrix(159,58,-880,-321) -> Matrix(1,-2,0,1) Matrix(879,316,2000,719) -> Matrix(1,-2,0,1) Matrix(2481,890,4240,1521) -> Matrix(1,0,-2,1) Matrix(721,258,-2680,-959) -> Matrix(1,0,2,1) Matrix(1999,710,-6760,-2401) -> Matrix(3,-4,-2,3) Matrix(79,28,-680,-241) -> Matrix(1,-2,0,1) Matrix(239,84,680,239) -> Matrix(1,-6,0,1) Matrix(1441,502,1840,641) -> Matrix(1,4,0,1) Matrix(1039,330,1760,559) -> Matrix(3,-2,-10,7) Matrix(159,50,760,239) -> Matrix(1,-2,0,1) Matrix(879,274,1280,399) -> Matrix(1,-2,0,1) Matrix(399,124,-2320,-721) -> Matrix(1,-2,2,-3) Matrix(399,122,520,159) -> Matrix(1,0,0,1) Matrix(1441,438,6320,1921) -> Matrix(1,-2,2,-3) Matrix(4479,1360,6320,1919) -> Matrix(1,-2,2,-3) Matrix(5041,1530,7120,2161) -> Matrix(1,-2,0,1) Matrix(2479,752,4480,1359) -> Matrix(1,-2,0,1) Matrix(239,72,-800,-241) -> Matrix(1,-6,0,1) Matrix(6079,1808,9680,2879) -> Matrix(1,4,-2,-7) Matrix(559,166,2960,879) -> Matrix(1,2,2,5) Matrix(1919,568,3240,959) -> Matrix(1,2,-2,-3) Matrix(13121,3878,18680,5521) -> Matrix(1,2,4,9) Matrix(799,236,1080,319) -> Matrix(1,2,-2,-3) Matrix(559,164,1360,399) -> Matrix(1,0,0,1) Matrix(719,210,1640,479) -> Matrix(1,0,0,1) Matrix(1119,314,-4280,-1201) -> Matrix(11,4,8,3) Matrix(801,224,1720,481) -> Matrix(3,2,-2,-1) Matrix(2561,714,3160,881) -> Matrix(1,0,0,1) Matrix(12479,3476,30440,8479) -> Matrix(1,0,2,1) Matrix(719,200,3160,879) -> Matrix(1,0,4,1) Matrix(159,44,-1160,-321) -> Matrix(1,0,4,1) Matrix(8321,2300,22000,6081) -> Matrix(1,0,4,1) Matrix(20401,5638,35320,9761) -> Matrix(9,2,-14,-3) Matrix(5679,1568,7240,1999) -> Matrix(11,2,-6,-1) Matrix(639,176,2320,639) -> Matrix(1,0,16,1) Matrix(241,66,880,241) -> Matrix(1,0,-6,1) Matrix(561,152,1480,401) -> Matrix(1,0,0,1) Matrix(319,86,1480,399) -> Matrix(1,0,-4,1) Matrix(18721,5032,25600,6881) -> Matrix(13,-6,-2,1) Matrix(18719,5030,25600,6879) -> Matrix(11,-6,2,-1) Matrix(961,258,-5360,-1439) -> Matrix(3,-2,-4,3) Matrix(479,128,-1800,-481) -> Matrix(1,0,0,1) Matrix(2561,680,8440,2241) -> Matrix(5,-2,-2,1) Matrix(16801,4454,23240,6161) -> Matrix(3,-2,2,-1) Matrix(2401,636,5440,1441) -> Matrix(1,0,-2,1) Matrix(561,148,1520,401) -> Matrix(3,-2,-4,3) Matrix(4721,1240,6400,1681) -> Matrix(17,-16,-18,17) Matrix(4719,1238,6400,1679) -> Matrix(17,-18,-16,17) Matrix(4241,1110,5200,1361) -> Matrix(3,-4,4,-5) Matrix(639,166,920,239) -> Matrix(1,-2,-2,5) Matrix(4881,1160,6400,1521) -> Matrix(15,16,14,15) Matrix(4879,1158,6400,1519) -> Matrix(15,14,16,15) Matrix(321,76,680,161) -> Matrix(5,4,-4,-3) Matrix(479,112,680,159) -> Matrix(1,0,4,1) Matrix(881,202,1400,321) -> Matrix(1,0,0,1) Matrix(561,128,3160,721) -> Matrix(1,0,4,1) Matrix(1921,438,6320,1441) -> Matrix(3,2,-2,-1) Matrix(879,200,3160,719) -> Matrix(1,0,4,1) Matrix(1361,308,4600,1041) -> Matrix(9,2,4,1) Matrix(559,126,2480,559) -> Matrix(1,0,14,1) Matrix(161,36,720,161) -> Matrix(1,0,-4,1) Matrix(319,70,360,79) -> Matrix(1,-2,0,1) Matrix(4559,994,6600,1439) -> Matrix(1,2,-2,-3) Matrix(1921,416,2960,641) -> Matrix(1,0,-16,1) Matrix(399,86,1480,319) -> Matrix(1,0,-4,1) Matrix(321,68,760,161) -> Matrix(1,-2,0,1) Matrix(239,50,760,159) -> Matrix(1,-2,0,1) Matrix(959,198,2320,479) -> Matrix(1,-6,0,1) Matrix(799,154,1240,239) -> Matrix(1,2,-4,-7) Matrix(1199,230,2080,399) -> Matrix(5,6,-6,-7) Matrix(1519,288,5480,1039) -> Matrix(3,2,10,7) Matrix(1041,196,1280,241) -> Matrix(1,0,2,1) Matrix(1039,194,1280,239) -> Matrix(1,0,0,1) Matrix(4401,784,7640,1361) -> Matrix(5,6,-6,-7) Matrix(2561,456,3600,641) -> Matrix(3,2,4,3) Matrix(721,128,3160,561) -> Matrix(1,0,4,1) Matrix(239,42,1360,239) -> Matrix(1,0,6,1) Matrix(321,56,1840,321) -> Matrix(1,0,-8,1) Matrix(1119,194,1840,319) -> Matrix(1,0,-2,1) Matrix(719,122,1880,319) -> Matrix(1,0,0,1) Matrix(321,50,520,81) -> Matrix(1,-2,0,1) Matrix(79,12,520,79) -> Matrix(1,-2,0,1) Matrix(161,24,1080,161) -> Matrix(1,4,0,1) Matrix(799,118,2160,319) -> Matrix(1,2,-2,-3) Matrix(1441,196,2360,321) -> Matrix(3,-2,2,-1) Matrix(641,86,1200,161) -> Matrix(1,0,-2,1) Matrix(319,42,600,79) -> Matrix(1,2,-2,-3) Matrix(801,104,1240,161) -> Matrix(1,0,-4,1) Matrix(2401,290,3320,401) -> Matrix(1,2,0,1) Matrix(319,30,840,79) -> Matrix(1,0,2,1) Matrix(481,-50,760,-79) -> Matrix(1,2,-2,-3) Matrix(241,-28,680,-79) -> Matrix(1,-2,0,1) Matrix(321,-44,1160,-159) -> Matrix(1,0,4,1) Matrix(639,-110,1400,-241) -> Matrix(3,2,-2,-1) Matrix(321,-58,880,-159) -> Matrix(1,-2,0,1) Matrix(239,-44,440,-81) -> Matrix(1,0,-2,1) Matrix(2319,-440,3800,-721) -> Matrix(5,-4,4,-3) Matrix(799,-166,1160,-241) -> Matrix(1,2,-2,-3) Matrix(959,-208,1480,-321) -> Matrix(1,0,-8,1) Matrix(1841,-402,2560,-559) -> Matrix(1,0,0,1) Matrix(1041,-236,1760,-399) -> Matrix(1,0,-6,1) Matrix(2319,-550,3040,-721) -> Matrix(9,-8,8,-7) Matrix(639,-154,1000,-241) -> Matrix(1,-2,-2,5) Matrix(1599,-418,1840,-481) -> Matrix(3,4,2,3) Matrix(2479,-650,3360,-881) -> Matrix(9,10,-10,-11) Matrix(5279,-1400,13880,-3681) -> Matrix(3,2,4,3) Matrix(3199,-850,4520,-1201) -> Matrix(1,0,2,1) Matrix(2321,-622,3280,-879) -> Matrix(1,0,2,1) Matrix(1519,-408,3280,-881) -> Matrix(7,4,-2,-1) Matrix(3041,-818,4160,-1119) -> Matrix(1,0,2,1) Matrix(1759,-486,2320,-641) -> Matrix(1,0,-4,1) Matrix(5281,-1460,7520,-2079) -> Matrix(1,0,0,1) Matrix(6001,-1672,14640,-4079) -> Matrix(1,0,-2,1) Matrix(1439,-402,3440,-961) -> Matrix(5,-2,-2,1) Matrix(241,-68,280,-79) -> Matrix(1,0,-2,1) Matrix(159,-46,280,-81) -> Matrix(1,-2,0,1) Matrix(6561,-1940,11360,-3359) -> Matrix(1,0,-2,1) Matrix(1759,-522,2160,-641) -> Matrix(1,-2,0,1) Matrix(241,-72,800,-239) -> Matrix(1,-6,0,1) Matrix(4399,-1332,6080,-1841) -> Matrix(1,6,0,1) Matrix(239,-74,520,-161) -> Matrix(1,0,0,1) Matrix(721,-230,1000,-319) -> Matrix(1,0,2,1) Matrix(721,-250,920,-319) -> Matrix(1,-4,0,1) Matrix(639,-226,1360,-481) -> Matrix(3,8,-2,-5) Matrix(1039,-370,1800,-641) -> Matrix(3,4,-4,-5) Matrix(321,-116,440,-159) -> Matrix(1,0,0,1) Matrix(1521,-556,3280,-1199) -> Matrix(5,8,-2,-3) Matrix(399,-146,440,-161) -> Matrix(1,2,-2,-3) Matrix(881,-324,1520,-559) -> Matrix(1,2,-2,-3) Matrix(2639,-976,3680,-1361) -> Matrix(1,0,2,1) Matrix(241,-90,640,-239) -> Matrix(1,0,2,1) Matrix(16081,-6080,25600,-9679) -> Matrix(1,0,-2,1) Matrix(3841,-1458,6320,-2399) -> Matrix(1,0,-2,1) Matrix(1279,-488,1680,-641) -> Matrix(1,-2,2,-3) Matrix(12801,-4898,22160,-8479) -> Matrix(3,-2,-4,3) Matrix(881,-338,1040,-399) -> Matrix(3,-4,-2,3) Matrix(12881,-4978,17800,-6879) -> Matrix(1,0,0,1) Matrix(959,-372,1240,-481) -> Matrix(1,4,0,1) Matrix(81,-32,200,-79) -> Matrix(1,-2,0,1) Matrix(2159,-894,3480,-1441) -> Matrix(1,4,-2,-7) Matrix(7519,-3124,10400,-4321) -> Matrix(1,4,0,1) Matrix(959,-402,1720,-721) -> Matrix(1,2,-2,-3) Matrix(961,-404,1520,-639) -> Matrix(3,4,-4,-5) Matrix(641,-278,920,-399) -> Matrix(1,0,-4,1) Matrix(1041,-562,1480,-799) -> Matrix(1,0,6,1) Matrix(4161,-2324,7160,-3999) -> Matrix(11,-2,-16,3) Matrix(1041,-602,1520,-879) -> Matrix(3,2,-2,-1) Matrix(3201,-1858,4960,-2879) -> Matrix(5,4,-24,-19) Matrix(2479,-1442,3440,-2001) -> Matrix(3,2,-2,-1) Matrix(7119,-4324,9880,-6001) -> Matrix(1,0,0,1) Matrix(401,-246,520,-319) -> Matrix(1,2,0,1) Matrix(2481,-1534,3880,-2399) -> Matrix(1,2,-4,-7) Matrix(2241,-1388,2840,-1759) -> Matrix(1,0,0,1) Matrix(2321,-1442,2960,-1839) -> Matrix(1,-2,0,1) Matrix(401,-250,640,-399) -> Matrix(1,2,-2,-3) Matrix(641,-404,760,-479) -> Matrix(3,2,-2,-1) Matrix(1361,-868,1880,-1199) -> Matrix(9,4,2,1) Matrix(1359,-926,1880,-1281) -> Matrix(1,2,0,1) Matrix(561,-392,800,-559) -> Matrix(1,0,10,1) Matrix(7439,-5274,9480,-6721) -> Matrix(5,-2,-2,1) Matrix(2719,-1956,3560,-2561) -> Matrix(3,-2,2,-1) Matrix(801,-626,920,-719) -> Matrix(1,2,0,1) Matrix(161,-128,200,-159) -> Matrix(1,0,0,1) 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): 90 Degree of the the map X: 90 Degree of the the map Y: 384 ----------------------------------------------------------------------- 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. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.