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): 2880 Minimal number of generators: 481 Number of equivalence classes of cusps: 120 Genus: 181 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/11 -8/11 -2/3 -7/11 -6/11 -7/15 -5/11 -59/132 -29/66 -5/12 -9/22 -25/66 -49/132 -4/11 -71/198 -47/132 -23/66 -1/3 -7/22 -8/27 -67/231 -5/18 -3/11 -53/198 -35/132 -23/88 -5/21 -7/30 -5/22 -2/9 -12/55 -23/110 -5/24 -6/31 -4/21 -5/27 -2/11 -5/29 -1/6 -4/27 -4/29 -3/22 -2/15 -3/26 -1/9 -2/19 -1/11 0/1 1/10 1/9 2/17 1/8 3/23 2/15 3/22 1/7 3/20 5/33 2/13 3/19 4/25 5/31 1/6 4/23 3/17 5/28 2/11 5/27 3/16 4/21 1/5 5/24 7/33 3/14 7/32 2/9 5/22 3/13 7/30 5/21 1/4 3/11 5/18 7/25 2/7 29/99 49/165 10/33 7/22 1/3 4/11 21/55 64/165 13/33 2/5 9/22 41/99 5/12 14/33 5/11 7/15 1/2 6/11 19/33 58/99 20/33 101/165 7/11 2/3 23/33 116/165 70/99 164/231 8/11 26/33 9/11 28/33 10/11 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/0 -9/10 0/1 -8/9 1/1 -15/17 9/2 -7/8 -6/1 -20/23 -3/1 -13/15 -2/1 -19/22 1/0 -6/7 -1/1 -17/20 -4/3 -28/33 -1/1 -11/13 -1/2 -16/19 1/1 -21/25 -3/2 -26/31 -1/5 -5/6 1/0 -19/23 1/0 -33/40 0/1 -14/17 5/3 -23/28 4/1 -9/11 1/0 -31/38 -6/1 -53/65 1/0 -22/27 -5/1 -13/16 -10/3 -17/21 -2/1 -4/5 -3/1 -23/29 1/0 -19/24 -3/2 -15/19 -5/4 -26/33 -1/1 -11/14 -2/3 -51/65 -1/2 -40/51 -1/3 -29/37 -1/4 -18/23 -1/1 -25/32 0/1 -7/9 0/1 -31/40 2/1 -24/31 1/1 -17/22 1/0 -10/13 -1/1 -23/30 -1/2 -13/17 1/4 -16/21 1/1 -35/46 2/1 -19/25 5/2 -3/4 -2/1 -17/23 -5/2 -14/19 -1/1 -25/34 -2/1 -36/49 -21/11 -11/15 -2/1 -52/71 -17/11 -41/56 -4/3 -71/97 -3/2 -30/41 -11/7 -49/67 -3/2 -68/93 -7/5 -19/26 -4/3 -8/11 -1/1 -29/40 -2/3 -50/69 -1/1 -71/98 -2/3 -21/29 -1/2 -34/47 -1/1 -47/65 -1/2 -13/18 -1/2 -18/25 -1/5 -23/32 0/1 -28/39 1/1 -5/7 1/0 -27/38 -2/1 -49/69 -2/1 -22/31 -1/1 -17/24 -3/2 -46/65 -1/1 -29/41 -11/10 -70/99 -1/1 -41/58 -14/15 -12/17 -3/5 -19/27 0/1 -45/64 0/1 -116/165 1/1 -71/101 1/0 -26/37 -1/1 -7/10 0/1 -23/33 1/0 -16/23 -3/1 -25/36 1/0 -9/13 1/0 -20/29 -3/1 -11/16 -6/5 -13/19 1/0 -15/22 1/0 -17/25 -1/2 -2/3 -1/1 -17/26 0/1 -15/23 -1/2 -13/20 0/1 -11/17 -5/4 -20/31 -5/7 -29/45 -2/3 -38/59 -5/9 -9/14 0/1 -43/67 -1/2 -34/53 -1/1 -59/92 -2/5 -25/39 0/1 -41/64 0/1 -16/25 1/1 -7/11 0/1 -26/41 1/3 -71/112 2/1 -45/71 1/0 -64/101 1/1 -19/30 1/0 -31/49 -1/6 -43/68 0/1 -12/19 1/1 -41/65 1/0 -111/176 1/0 -70/111 -1/1 -29/46 -2/1 -46/73 -1/1 -17/27 0/1 -39/62 4/1 -22/35 -5/1 -5/8 -2/3 -18/29 1/3 -31/50 4/3 -13/21 0/1 -60/97 -1/3 -47/76 0/1 -81/131 1/0 -34/55 -1/1 -21/34 0/1 -29/47 1/0 -8/13 1/1 -27/44 1/0 -19/31 1/0 -30/49 7/1 -101/165 1/0 -71/116 -20/1 -41/67 1/0 -11/18 1/0 -14/23 -1/1 -31/51 -4/3 -17/28 -6/5 -20/33 -1/1 -3/5 -1/2 -19/32 0/1 -16/27 -1/3 -13/22 0/1 -23/39 0/1 -10/17 3/1 -27/46 -2/1 -17/29 -5/4 -58/99 -1/1 -41/70 -12/13 -24/41 -7/9 -31/53 -1/2 -38/65 -1/1 -7/12 -1/2 -39/67 -1/2 -32/55 -1/3 -25/43 -1/2 -43/74 -4/5 -18/31 -3/7 -47/81 -4/11 -76/131 -1/3 -29/50 -6/19 -11/19 -1/4 -37/64 0/1 -26/45 -1/5 -15/26 0/1 -19/33 0/1 -4/7 1/1 -25/44 1/0 -21/37 -3/2 -38/67 -1/1 -17/30 1/0 -13/23 -3/4 -35/62 -2/3 -22/39 -1/1 -9/16 -2/7 -14/25 1/7 -19/34 0/1 -5/9 0/1 -26/47 3/1 -21/38 0/1 -37/67 1/0 -16/29 1/1 -11/20 0/1 -39/71 1/0 -28/51 1/1 -17/31 1/0 -6/11 -1/1 -13/24 -1/2 -20/37 -1/3 -7/13 -1/2 -22/41 -3/11 -15/28 0/1 -8/15 -1/3 -9/17 1/6 -1/2 0/1 -8/17 -1/7 -7/15 0/1 -13/28 2/1 -6/13 -1/1 -11/24 -1/2 -5/11 0/1 -19/42 1/8 -14/31 1/7 -23/51 2/9 -32/71 3/11 -9/20 0/1 -13/29 3/8 -30/67 1/3 -17/38 2/5 -38/85 5/11 -59/132 1/2 -21/47 1/2 -4/9 1/1 -15/34 0/1 -11/25 -1/6 -29/66 0/1 -18/41 1/15 -7/16 2/9 -17/39 2/5 -10/23 1/3 -13/30 1/2 -42/97 1/3 -29/67 1/2 -16/37 1/1 -3/7 1/2 -14/33 1/1 -11/26 4/3 -30/71 5/3 -19/45 2/1 -27/64 2/1 -8/19 1/1 -21/50 8/1 -55/131 1/0 -34/81 -1/1 -13/31 1/0 -18/43 -1/1 -23/55 0/1 -28/67 1/1 -5/12 1/0 -27/65 1/0 -22/53 -1/1 -39/94 2/1 -17/41 3/2 -29/70 6/1 -41/99 1/0 -12/29 -3/1 -19/46 -2/1 -7/17 -3/4 -9/22 0/1 -11/27 0/1 -13/32 0/1 -15/37 1/0 -2/5 -1/1 -13/33 0/1 -11/28 0/1 -20/51 1/9 -9/23 1/6 -43/110 1/4 -34/87 1/3 -25/64 0/1 -16/41 1/1 -7/18 1/4 -26/67 1/3 -45/116 20/61 -64/165 1/3 -19/49 9/26 -12/31 3/7 -5/13 1/2 -18/47 -1/1 -13/34 0/1 -34/89 1/3 -21/55 0/1 -29/76 2/5 -8/21 1/1 -19/50 4/1 -11/29 -1/2 -25/66 0/1 -14/37 1/7 -3/8 2/5 -16/43 1/1 -13/35 1/2 -49/132 1/2 -36/97 13/25 -23/62 4/7 -10/27 3/5 -17/46 2/3 -41/111 2/3 -65/176 3/4 -24/65 1/1 -7/19 1/2 -25/68 2/3 -18/49 13/19 -11/30 3/4 -4/11 1/1 -13/36 3/2 -48/133 1/1 -35/97 3/2 -22/61 7/5 -31/86 2/1 -9/25 7/4 -23/64 2/1 -14/39 3/1 -33/92 2/1 -52/145 5/1 -71/198 1/0 -19/53 1/0 -24/67 1/1 -5/14 2/1 -26/73 7/1 -47/132 1/0 -21/59 1/0 -16/45 1/1 -27/76 4/1 -11/31 1/0 -6/17 -5/1 -7/20 0/1 -15/43 -1/2 -23/66 0/1 -8/23 1/1 -1/3 0/1 -9/28 0/1 -8/25 3/7 -7/22 1/2 -13/41 3/4 -6/19 1/3 -5/16 6/11 -9/29 3/4 -13/42 1/2 -4/13 1/1 -11/36 5/6 -7/23 9/10 -10/33 1/1 -3/10 4/3 -14/47 5/3 -11/37 3/2 -30/101 21/11 -49/165 2/1 -19/64 2/1 -8/27 1/1 -13/44 2/1 -5/17 7/2 -17/58 14/1 -29/99 1/0 -12/41 -7/1 -19/65 1/0 -7/24 1/0 -16/55 1/1 -9/31 1/0 -38/131 -1/1 -67/231 0/1 -29/100 0/1 -20/69 1/1 -31/107 3/2 -11/38 2/1 -2/7 -1/1 -11/39 0/1 -9/32 0/1 -7/25 1/4 -19/68 0/1 -31/111 0/1 -43/154 1/2 -12/43 1/1 -5/18 1/0 -18/65 -1/1 -13/47 -1/2 -34/123 -1/1 -21/76 0/1 -8/29 -1/3 -3/11 0/1 -10/37 1/3 -27/100 0/1 -98/363 1/5 -71/263 1/4 -44/163 1/5 -17/63 0/1 -7/26 0/1 -25/93 2/7 -18/67 1/3 -11/41 5/14 -26/97 7/17 -15/56 2/5 -34/127 9/19 -53/198 1/2 -19/71 1/2 -4/15 1/1 -13/49 -1/8 -35/132 0/1 -22/83 1/19 -9/34 0/1 -5/19 1/4 -11/42 1/2 -17/65 1/2 -23/88 1/2 -6/23 1/3 -7/27 2/5 -1/4 2/3 -6/25 13/11 -11/46 4/3 -5/21 4/3 -14/59 5/3 -9/38 4/3 -4/17 9/5 -7/30 1/0 -3/13 1/0 -8/35 5/1 -5/22 1/0 -7/31 1/0 -16/71 -3/1 -9/40 0/1 -2/9 -1/1 -7/32 0/1 -12/55 1/1 -5/23 1/0 -13/60 1/0 -21/97 1/0 -8/37 1/1 -19/88 1/0 -11/51 -2/1 -14/65 -1/1 -3/14 0/1 -7/33 0/1 -4/19 1/5 -9/43 1/2 -23/110 1/4 -14/67 1/3 -5/24 1/2 -6/29 1/3 -7/34 0/1 -1/5 1/2 -6/31 3/5 -5/26 2/3 -4/21 1/1 -3/16 10/13 -5/27 6/7 -2/11 1/1 -7/39 8/7 -12/67 1/1 -5/28 6/5 -13/73 5/4 -8/45 1/1 -3/17 11/8 -10/57 5/3 -7/40 2/1 -11/63 2/1 -4/23 1/1 -5/29 7/4 -6/35 11/5 -1/6 1/0 -5/31 1/0 -4/25 -3/1 -7/44 1/0 -3/19 1/0 -2/13 -1/1 -5/33 0/1 -3/20 0/1 -4/27 1/1 -1/7 1/2 -4/29 1/1 -3/22 1/2 -5/37 5/8 -2/15 3/5 -3/23 3/4 -1/8 6/7 -2/17 13/11 -3/26 4/3 -1/9 2/1 -2/19 -1/1 -1/10 2/1 -1/11 0/1 0/1 1/1 1/10 0/1 1/9 0/1 2/17 9/11 1/8 8/7 3/23 5/4 2/15 7/5 3/22 3/2 1/7 3/2 3/20 2/1 5/33 2/1 2/13 3/1 3/19 1/0 4/25 5/1 5/31 1/0 1/6 1/0 4/23 1/1 7/40 0/1 3/17 5/8 5/28 4/5 2/11 1/1 7/38 10/9 12/65 1/1 5/27 8/7 3/16 16/13 4/21 1/1 1/5 3/2 6/29 5/3 5/24 3/2 4/19 9/5 7/33 2/1 3/14 2/1 14/65 3/1 11/51 4/1 8/37 1/1 5/23 1/0 7/32 2/1 2/9 3/1 9/40 2/1 7/31 1/0 5/22 1/0 3/13 1/0 7/30 1/0 4/17 1/5 5/21 2/3 11/46 2/3 6/25 9/11 1/4 4/3 6/23 5/3 5/19 7/4 9/34 2/1 13/49 17/8 4/15 1/1 19/71 3/2 15/56 8/5 26/97 27/17 11/41 23/14 18/67 5/3 25/93 12/7 7/26 2/1 3/11 2/1 11/40 2/1 19/69 2/1 27/98 2/1 8/29 7/3 13/47 5/2 18/65 3/1 5/18 1/0 7/25 7/4 9/32 2/1 11/39 2/1 2/7 3/1 11/38 0/1 20/69 1/1 9/31 1/0 7/24 1/0 19/65 1/0 12/41 9/1 29/99 1/0 17/58 -12/1 5/17 -3/2 8/27 1/1 19/64 0/1 49/165 0/1 30/101 1/11 11/37 1/2 3/10 2/3 10/33 1/1 7/23 11/10 11/36 7/6 4/13 1/1 9/29 5/4 5/16 16/11 6/19 5/3 7/22 3/2 8/25 11/7 1/3 2/1 9/26 2/1 8/23 1/1 7/20 2/1 6/17 7/1 11/31 1/0 16/45 1/1 21/59 1/0 5/14 0/1 24/67 1/1 19/53 1/0 33/92 0/1 14/39 -1/1 23/64 0/1 9/25 1/4 4/11 1/1 15/41 17/14 41/112 6/5 26/71 9/7 37/101 5/4 11/30 5/4 18/49 25/19 25/68 4/3 7/19 3/2 24/65 1/1 65/176 5/4 41/111 4/3 17/46 4/3 27/73 3/2 10/27 7/5 23/62 10/7 13/35 3/2 3/8 8/5 11/29 5/2 19/50 -2/1 8/21 1/1 37/97 3/2 29/76 8/5 50/131 5/3 21/55 2/1 13/34 2/1 18/47 3/1 5/13 3/2 17/44 3/2 12/31 11/7 19/49 43/26 64/165 5/3 45/116 102/61 26/67 5/3 7/18 7/4 9/23 11/6 20/51 17/9 11/28 2/1 13/33 2/1 2/5 3/1 13/32 2/1 11/27 2/1 9/22 2/1 16/39 7/3 7/17 11/4 19/46 4/1 12/29 5/1 41/99 1/0 29/70 -4/1 17/41 1/2 22/53 3/1 27/65 1/0 5/12 1/0 28/67 1/1 23/55 2/1 18/43 3/1 31/74 0/1 13/31 1/0 34/81 3/1 55/131 1/0 21/50 -6/1 8/19 1/1 27/64 0/1 19/45 0/1 11/26 2/3 14/33 1/1 3/7 3/2 19/44 3/2 16/37 1/1 29/67 3/2 13/30 3/2 10/23 5/3 27/62 4/3 17/39 8/5 7/16 16/9 11/25 13/6 15/34 2/1 4/9 1/1 21/47 3/2 17/38 8/5 30/67 5/3 13/29 13/8 9/20 2/1 32/71 19/11 23/51 16/9 14/31 13/7 5/11 2/1 11/24 5/2 17/37 1/0 6/13 3/1 19/41 1/2 13/28 0/1 7/15 2/1 8/17 15/7 1/2 2/1 9/17 11/6 8/15 7/3 15/28 2/1 7/13 5/2 13/24 5/2 6/11 3/1 23/42 1/0 17/31 1/0 28/51 1/1 39/71 1/0 11/20 2/1 16/29 1/1 37/67 1/0 21/38 2/1 47/85 1/0 73/132 1/0 26/47 -1/1 5/9 2/1 19/34 2/1 14/25 13/7 37/66 2/1 23/41 29/14 9/16 16/7 22/39 3/1 13/23 11/4 17/30 1/0 55/97 1/0 38/67 3/1 21/37 7/2 4/7 1/1 19/33 2/1 15/26 2/1 41/71 13/6 26/45 11/5 37/64 2/1 11/19 9/4 29/50 44/19 76/131 7/3 47/81 26/11 18/31 17/7 25/43 5/2 32/55 7/3 39/67 5/2 7/12 5/2 38/65 3/1 31/53 5/2 55/94 8/3 24/41 25/9 41/70 38/13 58/99 3/1 17/29 13/4 27/46 4/1 10/17 -1/1 13/22 2/1 16/27 7/3 19/32 2/1 22/37 3/1 3/5 5/2 20/33 3/1 17/28 16/5 31/51 10/3 14/23 3/1 67/110 7/2 53/87 4/1 39/64 4/1 25/41 15/4 11/18 1/0 41/67 1/0 71/116 22/1 101/165 1/0 30/49 -5/1 19/31 1/0 8/13 1/1 29/47 1/0 21/34 2/1 55/89 5/2 34/55 3/1 47/76 2/1 13/21 2/1 31/50 2/3 18/29 5/3 41/66 2/1 23/37 13/6 5/8 8/3 27/43 1/0 22/35 7/1 83/132 1/0 61/97 1/0 39/62 -2/1 17/27 2/1 29/46 4/1 70/111 3/1 111/176 1/0 41/65 1/0 12/19 1/1 43/68 2/1 31/49 13/6 19/30 1/0 7/11 2/1 23/36 5/2 85/133 5/2 62/97 3/1 39/61 5/2 55/86 8/3 16/25 1/1 41/64 2/1 25/39 2/1 59/92 12/5 93/145 5/2 127/198 5/2 34/53 3/1 43/67 5/2 9/14 2/1 47/73 5/2 85/132 5/2 38/59 23/9 29/45 8/3 49/76 8/3 20/31 19/7 11/17 13/4 13/20 2/1 28/43 1/1 43/66 2/1 15/23 5/2 2/3 3/1 19/28 2/1 17/25 5/2 15/22 1/0 28/41 5/1 13/19 1/0 11/16 16/5 20/29 5/1 29/42 1/0 9/13 1/0 25/36 1/0 16/23 5/1 23/33 1/0 7/10 2/1 33/47 1/0 26/37 3/1 71/101 1/0 116/165 1/1 45/64 2/1 19/27 2/1 31/44 2/1 12/17 13/5 41/58 44/15 70/99 3/1 29/41 31/10 46/65 3/1 17/24 7/2 39/55 4/1 22/31 3/1 93/131 1/0 164/231 3/1 71/100 4/1 49/69 4/1 76/107 1/1 27/38 4/1 5/7 1/0 28/39 1/1 23/32 2/1 18/25 11/5 49/68 2/1 80/111 7/3 111/154 5/2 31/43 1/0 13/18 5/2 47/65 5/2 34/47 3/1 89/123 18/7 55/76 18/7 21/29 5/2 8/11 3/1 27/37 13/4 73/100 10/3 265/363 10/3 192/263 17/5 119/163 7/2 46/63 3/1 19/26 10/3 68/93 17/5 49/67 7/2 30/41 25/7 71/97 7/2 41/56 10/3 93/127 7/2 145/198 7/2 52/71 39/11 11/15 4/1 36/49 43/11 97/132 4/1 61/83 65/16 25/34 4/1 14/19 3/1 31/42 9/2 48/65 5/1 65/88 1/0 17/23 9/2 20/27 5/1 3/4 4/1 19/25 -1/2 35/46 0/1 16/21 1/1 45/59 1/0 29/38 0/1 13/17 7/4 23/30 5/2 10/13 3/1 27/35 1/0 17/22 1/0 24/31 1/1 55/71 1/0 31/40 0/1 7/9 2/1 25/32 2/1 43/55 2/1 18/23 3/1 47/60 1/0 76/97 9/5 29/37 9/4 69/88 5/2 40/51 7/3 51/65 5/2 11/14 8/3 26/33 3/1 15/19 13/4 34/43 3/1 87/110 7/2 53/67 7/2 19/24 7/2 23/29 1/0 27/34 4/1 4/5 5/1 25/31 1/0 21/26 2/1 17/21 4/1 13/16 16/3 22/27 7/1 9/11 1/0 32/39 -3/1 55/67 1/0 23/28 -2/1 60/73 1/1 37/45 -2/1 14/17 1/3 47/57 4/3 33/40 2/1 52/63 1/1 19/23 1/0 24/29 1/1 29/35 1/0 5/6 1/0 26/31 11/5 21/25 7/2 37/44 1/0 16/19 1/1 11/13 5/2 28/33 3/1 17/20 10/3 23/27 4/1 6/7 3/1 25/29 11/2 19/22 1/0 32/37 1/1 13/15 4/1 20/23 5/1 7/8 8/1 15/17 -5/2 23/26 0/1 8/9 1/1 17/19 1/0 9/10 2/1 10/11 3/1 1/1 1/0 1/0 1/0 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(857,776,-1386,-1255) (-1/1,-9/10) -> (-47/76,-81/131) Hyperbolic Matrix(529,474,-1914,-1715) (-9/10,-8/9) -> (-34/123,-21/76) Hyperbolic Matrix(197,174,-1122,-991) (-8/9,-15/17) -> (-3/17,-10/57) Hyperbolic Matrix(329,290,1122,989) (-15/17,-7/8) -> (17/58,5/17) Hyperbolic Matrix(857,746,2046,1781) (-7/8,-20/23) -> (18/43,31/74) Hyperbolic Matrix(923,802,1518,1319) (-20/23,-13/15) -> (31/51,14/23) Hyperbolic Matrix(527,456,-2442,-2113) (-13/15,-19/22) -> (-19/88,-11/51) Hyperbolic Matrix(263,226,-462,-397) (-19/22,-6/7) -> (-4/7,-25/44) Hyperbolic Matrix(1123,956,-1782,-1517) (-6/7,-17/20) -> (-29/46,-46/73) Hyperbolic Matrix(1121,952,1320,1121) (-17/20,-28/33) -> (28/33,17/20) Hyperbolic Matrix(727,616,858,727) (-28/33,-11/13) -> (11/13,28/33) Hyperbolic Matrix(329,278,858,725) (-11/13,-16/19) -> (18/47,5/13) Hyperbolic Matrix(397,334,-1254,-1055) (-16/19,-21/25) -> (-13/41,-6/19) Hyperbolic Matrix(991,832,3696,3103) (-21/25,-26/31) -> (26/97,11/41) Hyperbolic Matrix(1913,1602,2442,2045) (-26/31,-5/6) -> (47/60,76/97) Hyperbolic Matrix(329,272,-1518,-1255) (-5/6,-19/23) -> (-5/23,-13/60) Hyperbolic Matrix(991,818,-1518,-1253) (-19/23,-33/40) -> (-17/26,-15/23) Hyperbolic Matrix(131,108,-1122,-925) (-33/40,-14/17) -> (-2/17,-3/26) Hyperbolic Matrix(265,218,-1122,-923) (-14/17,-23/28) -> (-9/38,-4/17) Hyperbolic Matrix(593,486,-726,-595) (-23/28,-9/11) -> (-9/11,-31/38) Parabolic Matrix(2771,2260,5016,4091) (-31/38,-53/65) -> (37/67,21/38) Hyperbolic Matrix(5743,4682,7854,6403) (-53/65,-22/27) -> (68/93,49/67) Hyperbolic Matrix(595,484,1056,859) (-22/27,-13/16) -> (9/16,22/39) Hyperbolic Matrix(859,696,1386,1123) (-13/16,-17/21) -> (13/21,31/50) Hyperbolic Matrix(725,586,-1716,-1387) (-17/21,-4/5) -> (-30/71,-19/45) Hyperbolic Matrix(133,106,-330,-263) (-4/5,-23/29) -> (-15/37,-2/5) Hyperbolic Matrix(727,576,1584,1255) (-23/29,-19/24) -> (11/24,17/37) Hyperbolic Matrix(329,260,-1254,-991) (-19/24,-15/19) -> (-5/19,-11/42) Hyperbolic Matrix(989,780,1254,989) (-15/19,-26/33) -> (26/33,15/19) Hyperbolic Matrix(727,572,924,727) (-26/33,-11/14) -> (11/14,26/33) Hyperbolic Matrix(1187,932,1848,1451) (-11/14,-51/65) -> (43/67,9/14) Hyperbolic Matrix(5015,3934,11946,9371) (-51/65,-40/51) -> (34/81,55/131) Hyperbolic Matrix(329,258,-2442,-1915) (-40/51,-29/37) -> (-5/37,-2/15) Hyperbolic Matrix(263,206,-1518,-1189) (-29/37,-18/23) -> (-4/23,-5/29) Hyperbolic Matrix(1387,1084,-3630,-2837) (-18/23,-25/32) -> (-13/34,-34/89) Hyperbolic Matrix(331,258,594,463) (-25/32,-7/9) -> (5/9,19/34) Hyperbolic Matrix(67,52,-594,-461) (-7/9,-31/40) -> (-3/26,-1/9) Hyperbolic Matrix(395,306,-2046,-1585) (-31/40,-24/31) -> (-6/31,-5/26) Hyperbolic Matrix(791,612,2046,1583) (-24/31,-17/22) -> (17/44,12/31) Hyperbolic Matrix(527,406,-858,-661) (-17/22,-10/13) -> (-8/13,-27/44) Hyperbolic Matrix(263,202,858,659) (-10/13,-23/30) -> (11/36,4/13) Hyperbolic Matrix(1253,960,1980,1517) (-23/30,-13/17) -> (31/49,19/30) Hyperbolic Matrix(199,152,-1122,-857) (-13/17,-16/21) -> (-8/45,-3/17) Hyperbolic Matrix(3829,2914,6072,4621) (-16/21,-35/46) -> (29/46,70/111) Hyperbolic Matrix(1715,1304,4686,3563) (-35/46,-19/25) -> (15/41,41/112) Hyperbolic Matrix(793,602,1914,1453) (-19/25,-3/4) -> (29/70,17/41) Hyperbolic Matrix(857,634,-1518,-1123) (-3/4,-17/23) -> (-13/23,-35/62) Hyperbolic Matrix(263,194,-1254,-925) (-17/23,-14/19) -> (-4/19,-9/43) Hyperbolic Matrix(859,632,2244,1651) (-14/19,-25/34) -> (13/34,18/47) Hyperbolic Matrix(1189,874,-4488,-3299) (-25/34,-36/49) -> (-22/83,-9/34) Hyperbolic Matrix(463,340,990,727) (-36/49,-11/15) -> (7/15,8/17) Hyperbolic Matrix(2113,1548,4686,3433) (-11/15,-52/71) -> (32/71,23/51) Hyperbolic Matrix(2969,2174,-11088,-8119) (-52/71,-41/56) -> (-15/56,-34/127) Hyperbolic Matrix(4885,3576,12804,9373) (-41/56,-71/97) -> (37/97,29/76) Hyperbolic Matrix(593,434,3696,2705) (-71/97,-30/41) -> (4/25,5/31) Hyperbolic Matrix(1583,1158,5412,3959) (-30/41,-49/67) -> (19/65,12/41) Hyperbolic Matrix(7259,5308,8844,6467) (-49/67,-68/93) -> (32/39,55/67) Hyperbolic Matrix(3433,2510,9570,6997) (-68/93,-19/26) -> (33/92,14/39) Hyperbolic Matrix(527,384,-726,-529) (-19/26,-8/11) -> (-8/11,-29/40) Parabolic Matrix(1253,908,-1914,-1387) (-29/40,-50/69) -> (-2/3,-17/26) Hyperbolic Matrix(3961,2870,-13662,-9899) (-50/69,-71/98) -> (-29/100,-20/69) Hyperbolic Matrix(3037,2200,3828,2773) (-71/98,-21/29) -> (23/29,27/34) Hyperbolic Matrix(923,668,-3102,-2245) (-21/29,-34/47) -> (-14/47,-11/37) Hyperbolic Matrix(2707,1958,4290,3103) (-34/47,-47/65) -> (41/65,12/19) Hyperbolic Matrix(1453,1050,2376,1717) (-47/65,-13/18) -> (11/18,41/67) Hyperbolic Matrix(463,334,-1188,-857) (-13/18,-18/25) -> (-16/41,-7/18) Hyperbolic Matrix(923,664,1650,1187) (-18/25,-23/32) -> (19/34,14/25) Hyperbolic Matrix(1253,900,2112,1517) (-23/32,-28/39) -> (16/27,19/32) Hyperbolic Matrix(1123,806,3036,2179) (-28/39,-5/7) -> (27/73,10/27) Hyperbolic Matrix(529,376,-2970,-2111) (-5/7,-27/38) -> (-5/28,-13/73) Hyperbolic Matrix(659,468,-2046,-1453) (-27/38,-49/69) -> (-1/3,-9/28) Hyperbolic Matrix(3563,2530,-13200,-9373) (-49/69,-22/31) -> (-44/163,-17/63) Hyperbolic Matrix(925,656,-2046,-1451) (-22/31,-17/24) -> (-19/42,-14/31) Hyperbolic Matrix(661,468,-3168,-2243) (-17/24,-46/65) -> (-14/67,-5/24) Hyperbolic Matrix(1453,1028,5412,3829) (-46/65,-29/41) -> (11/41,18/67) Hyperbolic Matrix(5741,4060,8118,5741) (-29/41,-70/99) -> (70/99,29/41) Hyperbolic Matrix(8119,5740,11484,8119) (-70/99,-41/58) -> (41/58,70/99) Hyperbolic Matrix(133,94,1122,793) (-41/58,-12/17) -> (2/17,1/8) Hyperbolic Matrix(661,466,-1122,-791) (-12/17,-19/27) -> (-23/39,-10/17) Hyperbolic Matrix(2707,1904,4224,2971) (-19/27,-45/64) -> (41/64,25/39) Hyperbolic Matrix(14849,10440,21120,14849) (-45/64,-116/165) -> (116/165,45/64) Hyperbolic Matrix(23431,16472,33330,23431) (-116/165,-71/101) -> (71/101,116/165) Hyperbolic Matrix(3497,2458,4224,2969) (-71/101,-26/37) -> (24/29,29/35) Hyperbolic Matrix(857,602,-3102,-2179) (-26/37,-7/10) -> (-21/76,-8/29) Hyperbolic Matrix(461,322,660,461) (-7/10,-23/33) -> (23/33,7/10) Hyperbolic Matrix(1057,736,1518,1057) (-23/33,-16/23) -> (16/23,23/33) Hyperbolic Matrix(659,458,1518,1055) (-16/23,-25/36) -> (13/30,10/23) Hyperbolic Matrix(199,138,858,595) (-25/36,-9/13) -> (3/13,7/30) Hyperbolic Matrix(463,320,-858,-593) (-9/13,-20/29) -> (-20/37,-7/13) Hyperbolic Matrix(1187,818,1914,1319) (-20/29,-11/16) -> (31/50,18/29) Hyperbolic Matrix(727,498,1254,859) (-11/16,-13/19) -> (11/19,29/50) Hyperbolic Matrix(199,136,-1254,-857) (-13/19,-15/22) -> (-7/44,-3/19) Hyperbolic Matrix(1387,944,1650,1123) (-15/22,-17/25) -> (21/25,37/44) Hyperbolic Matrix(593,402,-2046,-1387) (-17/25,-2/3) -> (-20/69,-31/107) Hyperbolic Matrix(461,300,-1320,-859) (-15/23,-13/20) -> (-7/20,-15/43) Hyperbolic Matrix(463,300,1122,727) (-13/20,-11/17) -> (7/17,19/46) Hyperbolic Matrix(793,512,2046,1321) (-11/17,-20/31) -> (12/31,19/49) Hyperbolic Matrix(3103,2000,-5016,-3233) (-20/31,-29/45) -> (-13/21,-60/97) Hyperbolic Matrix(4883,3146,5940,3827) (-29/45,-38/59) -> (60/73,37/45) Hyperbolic Matrix(659,424,-1848,-1189) (-38/59,-9/14) -> (-5/14,-26/73) Hyperbolic Matrix(1451,932,1848,1187) (-9/14,-43/67) -> (51/65,11/14) Hyperbolic Matrix(2905,1864,6996,4489) (-43/67,-34/53) -> (22/53,27/65) Hyperbolic Matrix(6533,4190,-18216,-11683) (-34/53,-59/92) -> (-33/92,-52/145) Hyperbolic Matrix(2573,1650,9570,6137) (-59/92,-25/39) -> (25/93,7/26) Hyperbolic Matrix(2971,1904,4224,2707) (-25/39,-41/64) -> (45/64,19/27) Hyperbolic Matrix(2377,1522,3300,2113) (-41/64,-16/25) -> (18/25,49/68) Hyperbolic Matrix(461,294,-726,-463) (-16/25,-7/11) -> (-7/11,-26/41) Parabolic Matrix(1123,712,4686,2971) (-26/41,-71/112) -> (11/46,6/25) Hyperbolic Matrix(5149,3264,9372,5941) (-71/112,-45/71) -> (39/71,11/20) Hyperbolic Matrix(7259,4600,9372,5939) (-45/71,-64/101) -> (24/31,55/71) Hyperbolic Matrix(2573,1630,-5940,-3763) (-64/101,-19/30) -> (-13/30,-42/97) Hyperbolic Matrix(1517,960,1980,1253) (-19/30,-31/49) -> (13/17,23/30) Hyperbolic Matrix(661,418,1254,793) (-31/49,-43/68) -> (1/2,9/17) Hyperbolic Matrix(1057,668,2508,1585) (-43/68,-12/19) -> (8/19,27/64) Hyperbolic Matrix(3103,1958,4290,2707) (-12/19,-41/65) -> (47/65,34/47) Hyperbolic Matrix(14983,9450,18942,11947) (-41/65,-111/176) -> (87/110,53/67) Hyperbolic Matrix(26401,16650,36630,23101) (-111/176,-70/111) -> (80/111,111/154) Hyperbolic Matrix(4621,2914,6072,3829) (-70/111,-29/46) -> (35/46,16/21) Hyperbolic Matrix(857,540,3036,1913) (-46/73,-17/27) -> (11/39,2/7) Hyperbolic Matrix(1783,1122,4092,2575) (-17/27,-39/62) -> (27/62,17/39) Hyperbolic Matrix(3037,1910,-8184,-5147) (-39/62,-22/35) -> (-36/97,-23/62) Hyperbolic Matrix(1649,1036,-2838,-1783) (-22/35,-5/8) -> (-43/74,-18/31) Hyperbolic Matrix(199,124,-528,-329) (-5/8,-18/29) -> (-14/37,-3/8) Hyperbolic Matrix(1319,818,1914,1187) (-18/29,-31/50) -> (11/16,20/29) Hyperbolic Matrix(1123,696,1386,859) (-31/50,-13/21) -> (17/21,13/16) Hyperbolic Matrix(3431,2122,12804,7919) (-60/97,-47/76) -> (15/56,26/97) Hyperbolic Matrix(6337,3918,10890,6733) (-81/131,-34/55) -> (32/55,39/67) Hyperbolic Matrix(793,490,-3630,-2243) (-34/55,-21/34) -> (-7/32,-12/55) Hyperbolic Matrix(593,366,2244,1385) (-21/34,-29/47) -> (5/19,9/34) Hyperbolic Matrix(133,82,858,529) (-29/47,-8/13) -> (2/13,3/19) Hyperbolic Matrix(463,284,2046,1255) (-27/44,-19/31) -> (7/31,5/22) Hyperbolic Matrix(725,444,2046,1253) (-19/31,-30/49) -> (6/17,11/31) Hyperbolic Matrix(9899,6060,16170,9899) (-30/49,-101/165) -> (101/165,30/49) Hyperbolic Matrix(23431,14342,38280,23431) (-101/165,-71/116) -> (71/116,101/165) Hyperbolic Matrix(7787,4766,18546,11351) (-71/116,-41/67) -> (55/131,21/50) Hyperbolic Matrix(1717,1050,2376,1453) (-41/67,-11/18) -> (13/18,47/65) Hyperbolic Matrix(331,202,-1188,-725) (-11/18,-14/23) -> (-12/43,-5/18) Hyperbolic Matrix(1319,802,1518,923) (-14/23,-31/51) -> (13/15,20/23) Hyperbolic Matrix(859,522,1848,1123) (-31/51,-17/28) -> (13/28,7/15) Hyperbolic Matrix(1121,680,1848,1121) (-17/28,-20/33) -> (20/33,17/28) Hyperbolic Matrix(199,120,330,199) (-20/33,-3/5) -> (3/5,20/33) Hyperbolic Matrix(67,40,-330,-197) (-3/5,-19/32) -> (-7/34,-1/5) Hyperbolic Matrix(1517,900,2112,1253) (-19/32,-16/27) -> (28/39,23/32) Hyperbolic Matrix(595,352,1452,859) (-16/27,-13/22) -> (9/22,16/39) Hyperbolic Matrix(593,350,1452,857) (-13/22,-23/39) -> (11/27,9/22) Hyperbolic Matrix(395,232,1122,659) (-10/17,-27/46) -> (7/20,6/17) Hyperbolic Matrix(859,504,1914,1123) (-27/46,-17/29) -> (13/29,9/20) Hyperbolic Matrix(3365,1972,5742,3365) (-17/29,-58/99) -> (58/99,17/29) Hyperbolic Matrix(8119,4756,13860,8119) (-58/99,-41/70) -> (41/70,58/99) Hyperbolic Matrix(461,270,1914,1121) (-41/70,-24/41) -> (6/25,1/4) Hyperbolic Matrix(1453,850,-2706,-1583) (-24/41,-31/53) -> (-7/13,-22/41) Hyperbolic Matrix(2507,1466,6996,4091) (-31/53,-38/65) -> (24/67,19/53) Hyperbolic Matrix(661,386,1584,925) (-38/65,-7/12) -> (5/12,28/67) Hyperbolic Matrix(659,384,1584,923) (-7/12,-39/67) -> (27/65,5/12) Hyperbolic Matrix(725,422,792,461) (-39/67,-32/55) -> (10/11,1/1) Hyperbolic Matrix(4487,2610,7260,4223) (-32/55,-25/43) -> (55/89,34/55) Hyperbolic Matrix(265,154,2046,1189) (-25/43,-43/74) -> (1/8,3/23) Hyperbolic Matrix(1847,1072,4092,2375) (-18/31,-47/81) -> (23/51,14/31) Hyperbolic Matrix(2575,1494,11946,6931) (-47/81,-76/131) -> (14/65,11/51) Hyperbolic Matrix(7195,4174,18546,10759) (-76/131,-29/50) -> (45/116,26/67) Hyperbolic Matrix(859,498,1254,727) (-29/50,-11/19) -> (13/19,11/16) Hyperbolic Matrix(923,534,2508,1451) (-11/19,-37/64) -> (25/68,7/19) Hyperbolic Matrix(3301,1908,-8448,-4883) (-37/64,-26/45) -> (-34/87,-25/64) Hyperbolic Matrix(329,190,-1716,-991) (-26/45,-15/26) -> (-5/26,-4/21) Hyperbolic Matrix(989,570,1716,989) (-15/26,-19/33) -> (19/33,15/26) Hyperbolic Matrix(265,152,462,265) (-19/33,-4/7) -> (4/7,19/33) Hyperbolic Matrix(3829,2174,4884,2773) (-25/44,-21/37) -> (29/37,69/88) Hyperbolic Matrix(1981,1124,4422,2509) (-21/37,-38/67) -> (30/67,13/29) Hyperbolic Matrix(2311,1310,-6402,-3629) (-38/67,-17/30) -> (-13/36,-48/133) Hyperbolic Matrix(463,262,1518,859) (-17/30,-13/23) -> (7/23,11/36) Hyperbolic Matrix(1517,856,4092,2309) (-35/62,-22/39) -> (10/27,23/62) Hyperbolic Matrix(859,484,1056,595) (-22/39,-9/16) -> (13/16,22/27) Hyperbolic Matrix(463,260,-1056,-593) (-9/16,-14/25) -> (-18/41,-7/16) Hyperbolic Matrix(1187,664,1650,923) (-14/25,-19/34) -> (23/32,18/25) Hyperbolic Matrix(463,258,594,331) (-19/34,-5/9) -> (7/9,25/32) Hyperbolic Matrix(4489,2484,6204,3433) (-5/9,-26/47) -> (34/47,89/123) Hyperbolic Matrix(2243,1240,-5016,-2773) (-26/47,-21/38) -> (-17/38,-38/85) Hyperbolic Matrix(3631,2006,4422,2443) (-21/38,-37/67) -> (55/67,23/28) Hyperbolic Matrix(1913,1056,4422,2441) (-37/67,-16/29) -> (16/37,29/67) Hyperbolic Matrix(791,436,1914,1055) (-16/29,-11/20) -> (19/46,12/29) Hyperbolic Matrix(4685,2574,7326,4025) (-11/20,-39/71) -> (39/61,55/86) Hyperbolic Matrix(1253,688,4686,2573) (-39/71,-28/51) -> (4/15,19/71) Hyperbolic Matrix(1717,942,4092,2245) (-28/51,-17/31) -> (13/31,34/81) Hyperbolic Matrix(595,326,-2046,-1121) (-17/31,-6/11) -> (-16/55,-9/31) Hyperbolic Matrix(461,250,-1584,-859) (-6/11,-13/24) -> (-7/24,-16/55) Hyperbolic Matrix(329,178,1584,857) (-13/24,-20/37) -> (6/29,5/24) Hyperbolic Matrix(593,318,-1848,-991) (-22/41,-15/28) -> (-9/28,-8/25) Hyperbolic Matrix(725,388,1848,989) (-15/28,-8/15) -> (20/51,11/28) Hyperbolic Matrix(263,140,990,527) (-8/15,-9/17) -> (13/49,4/15) Hyperbolic Matrix(793,418,1254,661) (-9/17,-1/2) -> (43/68,31/49) Hyperbolic Matrix(461,218,1254,593) (-1/2,-8/17) -> (18/49,25/68) Hyperbolic Matrix(727,340,990,463) (-8/17,-7/15) -> (11/15,36/49) Hyperbolic Matrix(1123,522,1848,859) (-7/15,-13/28) -> (17/28,31/51) Hyperbolic Matrix(1123,520,-2706,-1253) (-13/28,-6/13) -> (-22/53,-39/94) Hyperbolic Matrix(265,122,-858,-395) (-6/13,-11/24) -> (-13/42,-4/13) Hyperbolic Matrix(329,150,-726,-331) (-11/24,-5/11) -> (-5/11,-19/42) Parabolic Matrix(2375,1072,4092,1847) (-14/31,-23/51) -> (47/81,18/31) Hyperbolic Matrix(3433,1548,4686,2113) (-23/51,-32/71) -> (52/71,11/15) Hyperbolic Matrix(3431,1546,9372,4223) (-32/71,-9/20) -> (41/112,26/71) Hyperbolic Matrix(1123,504,1914,859) (-9/20,-13/29) -> (17/29,27/46) Hyperbolic Matrix(2509,1124,4422,1981) (-13/29,-30/67) -> (38/67,21/37) Hyperbolic Matrix(925,414,5016,2245) (-30/67,-17/38) -> (7/38,12/65) Hyperbolic Matrix(9637,4308,17424,7789) (-38/85,-59/132) -> (73/132,26/47) Hyperbolic Matrix(9635,4306,17424,7787) (-59/132,-21/47) -> (47/85,73/132) Hyperbolic Matrix(529,236,594,265) (-21/47,-4/9) -> (8/9,17/19) Hyperbolic Matrix(131,58,594,263) (-4/9,-15/34) -> (7/32,2/9) Hyperbolic Matrix(463,204,1650,727) (-15/34,-11/25) -> (7/25,9/32) Hyperbolic Matrix(2443,1074,4356,1915) (-11/25,-29/66) -> (37/66,23/41) Hyperbolic Matrix(2441,1072,4356,1913) (-29/66,-18/41) -> (14/25,37/66) Hyperbolic Matrix(197,86,1056,461) (-7/16,-17/39) -> (5/27,3/16) Hyperbolic Matrix(395,172,-1518,-661) (-17/39,-10/23) -> (-6/23,-7/27) Hyperbolic Matrix(1055,458,1518,659) (-10/23,-13/30) -> (25/36,16/23) Hyperbolic Matrix(9835,4258,-36432,-15773) (-42/97,-29/67) -> (-71/263,-44/163) Hyperbolic Matrix(2441,1056,4422,1913) (-29/67,-16/37) -> (16/29,37/67) Hyperbolic Matrix(65,28,-462,-199) (-16/37,-3/7) -> (-1/7,-4/29) Hyperbolic Matrix(197,84,462,197) (-3/7,-14/33) -> (14/33,3/7) Hyperbolic Matrix(727,308,1716,727) (-14/33,-11/26) -> (11/26,14/33) Hyperbolic Matrix(1055,446,-4686,-1981) (-11/26,-30/71) -> (-16/71,-9/40) Hyperbolic Matrix(2839,1198,-10164,-4289) (-19/45,-27/64) -> (-19/68,-31/111) Hyperbolic Matrix(1585,668,2508,1057) (-27/64,-8/19) -> (12/19,43/68) Hyperbolic Matrix(395,166,1254,527) (-8/19,-21/50) -> (5/16,6/19) Hyperbolic Matrix(11351,4766,18546,7787) (-21/50,-55/131) -> (41/67,71/116) Hyperbolic Matrix(9371,3934,11946,5015) (-55/131,-34/81) -> (40/51,51/65) Hyperbolic Matrix(2245,942,4092,1717) (-34/81,-13/31) -> (17/31,28/51) Hyperbolic Matrix(1055,442,-2838,-1189) (-13/31,-18/43) -> (-16/43,-13/35) Hyperbolic Matrix(2839,1188,3630,1519) (-18/43,-23/55) -> (43/55,18/23) Hyperbolic Matrix(4157,1738,10890,4553) (-23/55,-28/67) -> (50/131,21/55) Hyperbolic Matrix(925,386,1584,661) (-28/67,-5/12) -> (7/12,38/65) Hyperbolic Matrix(923,384,1584,659) (-5/12,-27/65) -> (39/67,7/12) Hyperbolic Matrix(4489,1864,6996,2905) (-27/65,-22/53) -> (34/53,43/67) Hyperbolic Matrix(3365,1396,-11616,-4819) (-39/94,-17/41) -> (-31/107,-11/38) Hyperbolic Matrix(1453,602,1914,793) (-17/41,-29/70) -> (3/4,19/25) Hyperbolic Matrix(5741,2378,13860,5741) (-29/70,-41/99) -> (41/99,29/70) Hyperbolic Matrix(2377,984,5742,2377) (-41/99,-12/29) -> (12/29,41/99) Hyperbolic Matrix(1055,436,1914,791) (-12/29,-19/46) -> (11/20,16/29) Hyperbolic Matrix(727,300,1122,463) (-19/46,-7/17) -> (11/17,13/20) Hyperbolic Matrix(331,136,-1122,-461) (-7/17,-9/22) -> (-13/44,-5/17) Hyperbolic Matrix(1255,512,1782,727) (-9/22,-11/27) -> (19/27,31/44) Hyperbolic Matrix(595,242,2112,859) (-11/27,-13/32) -> (9/32,11/39) Hyperbolic Matrix(3565,1446,4884,1981) (-13/32,-15/37) -> (27/37,73/100) Hyperbolic Matrix(131,52,330,131) (-2/5,-13/33) -> (13/33,2/5) Hyperbolic Matrix(727,286,1848,727) (-13/33,-11/28) -> (11/28,13/33) Hyperbolic Matrix(989,388,1848,725) (-11/28,-20/51) -> (8/15,15/28) Hyperbolic Matrix(199,78,1518,595) (-20/51,-9/23) -> (3/23,2/15) Hyperbolic Matrix(3365,1316,4554,1781) (-9/23,-43/110) -> (65/88,17/23) Hyperbolic Matrix(17357,6784,27522,10757) (-43/110,-34/87) -> (70/111,111/176) Hyperbolic Matrix(2705,1056,4224,1649) (-25/64,-16/41) -> (16/25,41/64) Hyperbolic Matrix(659,256,2376,923) (-7/18,-26/67) -> (18/65,5/18) Hyperbolic Matrix(10759,4174,18546,7195) (-26/67,-45/116) -> (29/50,76/131) Hyperbolic Matrix(14849,5760,38280,14849) (-45/116,-64/165) -> (64/165,45/116) Hyperbolic Matrix(6271,2432,16170,6271) (-64/165,-19/49) -> (19/49,64/165) Hyperbolic Matrix(1321,512,2046,793) (-19/49,-12/31) -> (20/31,11/17) Hyperbolic Matrix(197,76,-858,-331) (-12/31,-5/13) -> (-3/13,-8/35) Hyperbolic Matrix(725,278,858,329) (-5/13,-18/47) -> (16/19,11/13) Hyperbolic Matrix(1651,632,2244,859) (-18/47,-13/34) -> (25/34,14/19) Hyperbolic Matrix(3037,1160,7260,2773) (-34/89,-21/55) -> (23/55,18/43) Hyperbolic Matrix(131,50,-1386,-529) (-21/55,-29/76) -> (-1/10,-1/11) Hyperbolic Matrix(1783,680,-5016,-1913) (-29/76,-8/21) -> (-16/45,-27/76) Hyperbolic Matrix(263,100,1386,527) (-8/21,-19/50) -> (3/16,4/21) Hyperbolic Matrix(595,226,1914,727) (-19/50,-11/29) -> (9/29,5/16) Hyperbolic Matrix(2707,1026,4356,1651) (-11/29,-25/66) -> (41/66,23/37) Hyperbolic Matrix(2705,1024,4356,1649) (-25/66,-14/37) -> (18/29,41/66) Hyperbolic Matrix(461,172,528,197) (-3/8,-16/43) -> (20/23,7/8) Hyperbolic Matrix(10957,4068,17424,6469) (-13/35,-49/132) -> (83/132,61/97) Hyperbolic Matrix(10955,4066,17424,6467) (-49/132,-36/97) -> (22/35,83/132) Hyperbolic Matrix(1321,490,1782,661) (-23/62,-10/27) -> (20/27,3/4) Hyperbolic Matrix(265,98,-1782,-659) (-10/27,-17/46) -> (-3/20,-4/27) Hyperbolic Matrix(1451,536,6072,2243) (-17/46,-41/111) -> (5/21,11/46) Hyperbolic Matrix(16765,6192,27522,10165) (-41/111,-65/176) -> (67/110,53/87) Hyperbolic Matrix(12673,4680,17160,6337) (-65/176,-24/65) -> (48/65,65/88) Hyperbolic Matrix(1187,438,4290,1583) (-24/65,-7/19) -> (13/47,18/65) Hyperbolic Matrix(1451,534,2508,923) (-7/19,-25/68) -> (37/64,11/19) Hyperbolic Matrix(593,218,1254,461) (-25/68,-18/49) -> (8/17,1/2) Hyperbolic Matrix(463,170,1980,727) (-18/49,-11/30) -> (7/30,4/17) Hyperbolic Matrix(263,96,-726,-265) (-11/30,-4/11) -> (-4/11,-13/36) Parabolic Matrix(4883,1762,-16830,-6073) (-48/133,-35/97) -> (-9/31,-38/131) Hyperbolic Matrix(1913,690,2376,857) (-35/97,-22/61) -> (4/5,25/31) Hyperbolic Matrix(3301,1190,7326,2641) (-22/61,-31/86) -> (9/20,32/71) Hyperbolic Matrix(2509,904,3300,1189) (-31/86,-9/25) -> (19/25,35/46) Hyperbolic Matrix(2575,926,4224,1519) (-9/25,-23/64) -> (39/64,25/41) Hyperbolic Matrix(1253,450,4224,1517) (-23/64,-14/39) -> (8/27,19/64) Hyperbolic Matrix(6997,2510,9570,3433) (-14/39,-33/92) -> (19/26,68/93) Hyperbolic Matrix(25147,9018,39204,14059) (-52/145,-71/198) -> (127/198,34/53) Hyperbolic Matrix(25145,9016,39204,14057) (-71/198,-19/53) -> (93/145,127/198) Hyperbolic Matrix(4091,1466,6996,2507) (-19/53,-24/67) -> (38/65,31/53) Hyperbolic Matrix(397,142,1848,661) (-24/67,-5/14) -> (3/14,14/65) Hyperbolic Matrix(11221,3996,17424,6205) (-26/73,-47/132) -> (85/132,38/59) Hyperbolic Matrix(11219,3994,17424,6203) (-47/132,-21/59) -> (47/73,85/132) Hyperbolic Matrix(2969,1056,3894,1385) (-21/59,-16/45) -> (16/21,45/59) Hyperbolic Matrix(6667,2368,9108,3235) (-27/76,-11/31) -> (71/97,41/56) Hyperbolic Matrix(1253,444,2046,725) (-11/31,-6/17) -> (30/49,19/31) Hyperbolic Matrix(659,232,1122,395) (-6/17,-7/20) -> (27/46,10/17) Hyperbolic Matrix(2839,990,4356,1519) (-15/43,-23/66) -> (43/66,15/23) Hyperbolic Matrix(2837,988,4356,1517) (-23/66,-8/23) -> (28/43,43/66) Hyperbolic Matrix(265,92,-1518,-527) (-8/23,-1/3) -> (-11/63,-4/23) Hyperbolic Matrix(991,316,1452,463) (-8/25,-7/22) -> (15/22,28/41) Hyperbolic Matrix(989,314,1452,461) (-7/22,-13/41) -> (17/25,15/22) Hyperbolic Matrix(527,166,1254,395) (-6/19,-5/16) -> (21/50,8/19) Hyperbolic Matrix(727,226,1914,595) (-5/16,-9/29) -> (11/29,19/50) Hyperbolic Matrix(1517,470,1914,593) (-9/29,-13/42) -> (19/24,23/29) Hyperbolic Matrix(659,202,858,263) (-4/13,-11/36) -> (23/30,10/13) Hyperbolic Matrix(859,262,1518,463) (-11/36,-7/23) -> (13/23,17/30) Hyperbolic Matrix(461,140,1518,461) (-7/23,-10/33) -> (10/33,7/23) Hyperbolic Matrix(199,60,660,199) (-10/33,-3/10) -> (3/10,10/33) Hyperbolic Matrix(67,20,-660,-197) (-3/10,-14/47) -> (-2/19,-1/10) Hyperbolic Matrix(5741,1706,7326,2177) (-11/37,-30/101) -> (76/97,29/37) Hyperbolic Matrix(9899,2940,33330,9899) (-30/101,-49/165) -> (49/165,30/101) Hyperbolic Matrix(6271,1862,21120,6271) (-49/165,-19/64) -> (19/64,49/165) Hyperbolic Matrix(1517,450,4224,1253) (-19/64,-8/27) -> (14/39,23/64) Hyperbolic Matrix(1055,312,1782,527) (-8/27,-13/44) -> (13/22,16/27) Hyperbolic Matrix(989,290,1122,329) (-5/17,-17/58) -> (7/8,15/17) Hyperbolic Matrix(3365,986,11484,3365) (-17/58,-29/99) -> (29/99,17/58) Hyperbolic Matrix(2377,696,8118,2377) (-29/99,-12/41) -> (12/41,29/99) Hyperbolic Matrix(3959,1158,5412,1583) (-12/41,-19/65) -> (49/67,30/41) Hyperbolic Matrix(1123,328,-4290,-1253) (-19/65,-7/24) -> (-11/42,-17/65) Hyperbolic Matrix(79067,22934,108306,31415) (-38/131,-67/231) -> (265/363,192/263) Hyperbolic Matrix(43363,12576,59400,17227) (-67/231,-29/100) -> (73/100,265/363) Hyperbolic Matrix(595,172,-2508,-725) (-11/38,-2/7) -> (-14/59,-9/38) Hyperbolic Matrix(395,112,462,131) (-2/7,-11/39) -> (23/27,6/7) Hyperbolic Matrix(859,242,2112,595) (-11/39,-9/32) -> (13/32,11/27) Hyperbolic Matrix(727,204,1650,463) (-9/32,-7/25) -> (11/25,15/34) Hyperbolic Matrix(1187,332,3300,923) (-7/25,-19/68) -> (23/64,9/25) Hyperbolic Matrix(13529,3778,36630,10229) (-31/111,-43/154) -> (65/176,41/111) Hyperbolic Matrix(8977,2506,11352,3169) (-43/154,-12/43) -> (34/43,87/110) Hyperbolic Matrix(923,256,2376,659) (-5/18,-18/65) -> (26/67,7/18) Hyperbolic Matrix(1583,438,4290,1187) (-18/65,-13/47) -> (7/19,24/65) Hyperbolic Matrix(2771,766,6204,1715) (-13/47,-34/123) -> (4/9,21/47) Hyperbolic Matrix(197,54,-726,-199) (-8/29,-3/11) -> (-3/11,-10/37) Parabolic Matrix(2903,784,4884,1319) (-10/37,-27/100) -> (19/32,22/37) Hyperbolic Matrix(42173,11386,59400,16037) (-27/100,-98/363) -> (164/231,71/100) Hyperbolic Matrix(76891,20758,108306,29239) (-98/363,-71/263) -> (93/131,164/231) Hyperbolic Matrix(727,196,-4158,-1121) (-17/63,-7/26) -> (-7/40,-11/63) Hyperbolic Matrix(6137,1650,9570,2573) (-7/26,-25/93) -> (25/39,59/92) Hyperbolic Matrix(1451,390,7854,2111) (-25/93,-18/67) -> (12/65,5/27) Hyperbolic Matrix(3829,1028,5412,1453) (-18/67,-11/41) -> (29/41,46/65) Hyperbolic Matrix(3103,832,3696,991) (-11/41,-26/97) -> (26/31,21/25) Hyperbolic Matrix(5873,1574,9108,2441) (-26/97,-15/56) -> (49/76,20/31) Hyperbolic Matrix(28711,7686,39204,10495) (-34/127,-53/198) -> (145/198,52/71) Hyperbolic Matrix(28709,7684,39204,10493) (-53/198,-19/71) -> (93/127,145/198) Hyperbolic Matrix(2573,688,4686,1253) (-19/71,-4/15) -> (28/51,39/71) Hyperbolic Matrix(527,140,990,263) (-4/15,-13/49) -> (9/17,8/15) Hyperbolic Matrix(12805,3396,17424,4621) (-13/49,-35/132) -> (97/132,61/83) Hyperbolic Matrix(12803,3394,17424,4619) (-35/132,-22/83) -> (36/49,97/132) Hyperbolic Matrix(1385,366,2244,593) (-9/34,-5/19) -> (29/47,21/34) Hyperbolic Matrix(10823,2830,17160,4487) (-17/65,-23/88) -> (111/176,41/65) Hyperbolic Matrix(2773,724,4554,1189) (-23/88,-6/23) -> (14/23,67/110) Hyperbolic Matrix(1121,290,1782,461) (-7/27,-1/4) -> (39/62,17/27) Hyperbolic Matrix(1121,270,1914,461) (-1/4,-6/25) -> (24/41,41/70) Hyperbolic Matrix(2111,506,3300,791) (-6/25,-11/46) -> (55/86,16/25) Hyperbolic Matrix(2243,536,6072,1451) (-11/46,-5/21) -> (41/111,17/46) Hyperbolic Matrix(2509,596,3894,925) (-5/21,-14/59) -> (38/59,29/45) Hyperbolic Matrix(727,170,1980,463) (-4/17,-7/30) -> (11/30,18/49) Hyperbolic Matrix(595,138,858,199) (-7/30,-3/13) -> (9/13,25/36) Hyperbolic Matrix(1123,256,1452,331) (-8/35,-5/22) -> (17/22,24/31) Hyperbolic Matrix(1121,254,1452,329) (-5/22,-7/31) -> (27/35,17/22) Hyperbolic Matrix(3433,774,9372,2113) (-7/31,-16/71) -> (26/71,37/101) Hyperbolic Matrix(463,104,-2640,-593) (-9/40,-2/9) -> (-10/57,-7/40) Hyperbolic Matrix(263,58,594,131) (-2/9,-7/32) -> (15/34,4/9) Hyperbolic Matrix(2111,460,3630,791) (-12/55,-5/23) -> (25/43,32/55) Hyperbolic Matrix(397,86,2442,529) (-13/60,-21/97) -> (5/31,1/6) Hyperbolic Matrix(5149,1114,7326,1585) (-21/97,-8/37) -> (26/37,71/101) Hyperbolic Matrix(2111,456,4884,1055) (-8/37,-19/88) -> (19/44,16/37) Hyperbolic Matrix(6931,1494,11946,2575) (-11/51,-14/65) -> (76/131,47/81) Hyperbolic Matrix(661,142,1848,397) (-14/65,-3/14) -> (5/14,24/67) Hyperbolic Matrix(197,42,924,197) (-3/14,-7/33) -> (7/33,3/14) Hyperbolic Matrix(265,56,1254,265) (-7/33,-4/19) -> (4/19,7/33) Hyperbolic Matrix(8183,1712,11352,2375) (-9/43,-23/110) -> (111/154,31/43) Hyperbolic Matrix(6995,1462,18942,3959) (-23/110,-14/67) -> (24/65,65/176) Hyperbolic Matrix(1321,274,1914,397) (-5/24,-6/29) -> (20/29,29/42) Hyperbolic Matrix(1055,218,3828,791) (-6/29,-7/34) -> (27/98,8/29) Hyperbolic Matrix(1519,296,2376,463) (-1/5,-6/31) -> (62/97,39/61) Hyperbolic Matrix(527,100,1386,263) (-4/21,-3/16) -> (19/50,8/21) Hyperbolic Matrix(461,86,1056,197) (-3/16,-5/27) -> (17/39,7/16) Hyperbolic Matrix(131,24,-726,-133) (-5/27,-2/11) -> (-2/11,-7/39) Parabolic Matrix(2377,426,8844,1585) (-7/39,-12/67) -> (18/67,25/93) Hyperbolic Matrix(1979,354,4422,791) (-12/67,-5/28) -> (17/38,30/67) Hyperbolic Matrix(2113,376,5940,1057) (-13/73,-8/45) -> (16/45,21/59) Hyperbolic Matrix(1255,216,4224,727) (-5/29,-6/35) -> (30/101,11/37) Hyperbolic Matrix(331,56,396,67) (-6/35,-1/6) -> (5/6,26/31) Hyperbolic Matrix(329,54,396,65) (-1/6,-5/31) -> (29/35,5/6) Hyperbolic Matrix(2705,434,3696,593) (-5/31,-4/25) -> (30/41,71/97) Hyperbolic Matrix(527,84,1650,263) (-4/25,-7/44) -> (7/22,8/25) Hyperbolic Matrix(529,82,858,133) (-3/19,-2/13) -> (8/13,29/47) Hyperbolic Matrix(131,20,858,131) (-2/13,-5/33) -> (5/33,2/13) Hyperbolic Matrix(199,30,1320,199) (-5/33,-3/20) -> (3/20,5/33) Hyperbolic Matrix(331,48,462,67) (-4/27,-1/7) -> (5/7,28/39) Hyperbolic Matrix(1255,172,1452,199) (-4/29,-3/22) -> (19/22,32/37) Hyperbolic Matrix(1253,170,1452,197) (-3/22,-5/37) -> (25/29,19/22) Hyperbolic Matrix(595,78,1518,199) (-2/15,-3/23) -> (9/23,20/51) Hyperbolic Matrix(331,42,528,67) (-3/23,-1/8) -> (5/8,27/43) Hyperbolic Matrix(793,94,1122,133) (-1/8,-2/17) -> (12/17,41/58) Hyperbolic Matrix(329,36,594,65) (-1/9,-2/19) -> (26/47,5/9) Hyperbolic Matrix(331,28,792,67) (-1/11,0/1) -> (28/67,23/55) Hyperbolic Matrix(529,-50,1386,-131) (0/1,1/10) -> (29/76,50/131) Hyperbolic Matrix(1385,-144,1914,-199) (1/10,1/9) -> (89/123,55/76) Hyperbolic Matrix(925,-108,1122,-131) (1/9,2/17) -> (14/17,47/57) Hyperbolic Matrix(1915,-258,2442,-329) (2/15,3/22) -> (69/88,40/51) Hyperbolic Matrix(199,-28,462,-65) (3/22,1/7) -> (3/7,19/44) Hyperbolic Matrix(659,-98,1782,-265) (1/7,3/20) -> (17/46,27/73) Hyperbolic Matrix(857,-136,1254,-199) (3/19,4/25) -> (28/41,13/19) Hyperbolic Matrix(1189,-206,1518,-263) (1/6,4/23) -> (18/23,47/60) Hyperbolic Matrix(527,-92,1518,-265) (4/23,7/40) -> (9/26,8/23) Hyperbolic Matrix(991,-174,1122,-197) (7/40,3/17) -> (15/17,23/26) Hyperbolic Matrix(857,-152,1122,-199) (3/17,5/28) -> (29/38,13/17) Hyperbolic Matrix(133,-24,726,-131) (5/28,2/11) -> (2/11,7/38) Parabolic Matrix(991,-190,1716,-329) (4/21,1/5) -> (41/71,26/45) Hyperbolic Matrix(197,-40,330,-67) (1/5,6/29) -> (22/37,3/5) Hyperbolic Matrix(925,-194,1254,-263) (5/24,4/19) -> (14/19,31/42) Hyperbolic Matrix(2113,-456,2442,-527) (11/51,8/37) -> (32/37,13/15) Hyperbolic Matrix(1255,-272,1518,-329) (8/37,5/23) -> (19/23,24/29) Hyperbolic Matrix(2243,-490,3630,-793) (5/23,7/32) -> (21/34,55/89) Hyperbolic Matrix(527,-118,594,-133) (2/9,9/40) -> (23/26,8/9) Hyperbolic Matrix(1651,-372,2046,-461) (9/40,7/31) -> (25/31,21/26) Hyperbolic Matrix(331,-76,858,-197) (5/22,3/13) -> (5/13,17/44) Hyperbolic Matrix(923,-218,1122,-265) (4/17,5/21) -> (37/45,14/17) Hyperbolic Matrix(661,-172,1518,-395) (1/4,6/23) -> (10/23,27/62) Hyperbolic Matrix(991,-260,1254,-329) (6/23,5/19) -> (15/19,34/43) Hyperbolic Matrix(3299,-874,4488,-1189) (9/34,13/49) -> (61/83,25/34) Hyperbolic Matrix(8119,-2174,11088,-2969) (19/71,15/56) -> (41/56,93/127) Hyperbolic Matrix(199,-54,726,-197) (7/26,3/11) -> (3/11,11/40) Parabolic Matrix(661,-182,1914,-527) (11/40,19/69) -> (1/3,9/26) Hyperbolic Matrix(9701,-2672,13662,-3763) (19/69,27/98) -> (71/100,49/69) Hyperbolic Matrix(2179,-602,3102,-857) (8/29,13/47) -> (33/47,26/37) Hyperbolic Matrix(725,-202,1188,-331) (5/18,7/25) -> (25/41,11/18) Hyperbolic Matrix(2441,-706,2970,-859) (2/7,11/38) -> (23/28,60/73) Hyperbolic Matrix(1387,-402,2046,-593) (11/38,20/69) -> (2/3,19/28) Hyperbolic Matrix(9637,-2794,13200,-3827) (20/69,9/31) -> (119/163,46/63) Hyperbolic Matrix(1121,-326,2046,-595) (9/31,7/24) -> (23/42,17/31) Hyperbolic Matrix(2507,-732,3168,-925) (7/24,19/65) -> (53/67,19/24) Hyperbolic Matrix(461,-136,1122,-331) (5/17,8/27) -> (16/39,7/17) Hyperbolic Matrix(2245,-668,3102,-923) (11/37,3/10) -> (55/76,21/29) Hyperbolic Matrix(395,-122,858,-265) (4/13,9/29) -> (17/37,6/13) Hyperbolic Matrix(1055,-334,1254,-397) (6/19,7/22) -> (37/44,16/19) Hyperbolic Matrix(1453,-468,2046,-659) (8/25,1/3) -> (49/69,76/107) Hyperbolic Matrix(859,-300,1320,-461) (8/23,7/20) -> (13/20,28/43) Hyperbolic Matrix(1913,-680,5016,-1783) (11/31,16/45) -> (8/21,37/97) Hyperbolic Matrix(1189,-424,1848,-659) (21/59,5/14) -> (9/14,47/73) Hyperbolic Matrix(11683,-4190,18216,-6533) (19/53,33/92) -> (59/92,93/145) Hyperbolic Matrix(265,-96,726,-263) (9/25,4/11) -> (4/11,15/41) Parabolic Matrix(3367,-1234,5940,-2177) (37/101,11/30) -> (17/30,55/97) Hyperbolic Matrix(5147,-1910,8184,-3037) (23/62,13/35) -> (61/97,39/62) Hyperbolic Matrix(1189,-442,2838,-1055) (13/35,3/8) -> (31/74,13/31) Hyperbolic Matrix(329,-124,528,-199) (3/8,11/29) -> (23/37,5/8) Hyperbolic Matrix(2837,-1084,3630,-1387) (21/55,13/34) -> (25/32,43/55) Hyperbolic Matrix(857,-334,1188,-463) (7/18,9/23) -> (31/43,13/18) Hyperbolic Matrix(263,-106,330,-133) (2/5,13/32) -> (27/34,4/5) Hyperbolic Matrix(1253,-520,2706,-1123) (17/41,22/53) -> (6/13,19/41) Hyperbolic Matrix(5147,-2172,8448,-3565) (27/64,19/45) -> (53/87,39/64) Hyperbolic Matrix(1387,-586,1716,-725) (19/45,11/26) -> (21/26,17/21) Hyperbolic Matrix(4091,-1772,6402,-2773) (29/67,13/30) -> (23/36,85/133) Hyperbolic Matrix(593,-260,1056,-463) (7/16,11/25) -> (23/41,9/16) Hyperbolic Matrix(2773,-1240,5016,-2243) (21/47,17/38) -> (21/38,47/85) Hyperbolic Matrix(1451,-656,2046,-925) (14/31,5/11) -> (39/55,22/31) Hyperbolic Matrix(1123,-514,1584,-725) (5/11,11/24) -> (17/24,39/55) Hyperbolic Matrix(1255,-582,1848,-857) (19/41,13/28) -> (19/28,17/25) Hyperbolic Matrix(1583,-850,2706,-1453) (15/28,7/13) -> (31/53,55/94) Hyperbolic Matrix(593,-320,858,-463) (7/13,13/24) -> (29/42,9/13) Hyperbolic Matrix(397,-216,726,-395) (13/24,6/11) -> (6/11,23/42) Parabolic Matrix(1123,-634,1518,-857) (22/39,13/23) -> (17/23,20/27) Hyperbolic Matrix(26597,-15082,36432,-20659) (55/97,38/67) -> (192/263,119/163) Hyperbolic Matrix(397,-226,462,-263) (21/37,4/7) -> (6/7,25/29) Hyperbolic Matrix(3631,-2096,4686,-2705) (15/26,41/71) -> (55/71,31/40) Hyperbolic Matrix(7325,-4234,10164,-5875) (26/45,37/64) -> (49/68,80/111) Hyperbolic Matrix(1783,-1036,2838,-1649) (18/31,25/43) -> (27/43,22/35) Hyperbolic Matrix(8251,-4828,11616,-6797) (55/94,24/41) -> (76/107,27/38) Hyperbolic Matrix(791,-466,1122,-661) (10/17,13/22) -> (31/44,12/17) Hyperbolic Matrix(661,-406,858,-527) (19/31,8/13) -> (10/13,27/35) Hyperbolic Matrix(1255,-776,1386,-857) (34/55,47/76) -> (9/10,10/11) Hyperbolic Matrix(3233,-2000,5016,-3103) (47/76,13/21) -> (29/45,49/76) Hyperbolic Matrix(1517,-956,1782,-1123) (17/27,29/46) -> (17/20,23/27) Hyperbolic Matrix(463,-294,726,-461) (19/30,7/11) -> (7/11,23/36) Parabolic Matrix(11947,-7636,16830,-10757) (85/133,62/97) -> (22/31,93/131) Hyperbolic Matrix(1253,-818,1518,-991) (15/23,2/3) -> (52/63,19/23) Hyperbolic Matrix(593,-416,660,-463) (7/10,33/47) -> (17/19,9/10) Hyperbolic Matrix(3167,-2242,4290,-3037) (46/65,17/24) -> (31/42,48/65) Hyperbolic Matrix(1913,-1360,2508,-1783) (27/38,5/7) -> (45/59,29/38) Hyperbolic Matrix(529,-384,726,-527) (21/29,8/11) -> (8/11,27/37) Parabolic Matrix(3431,-2506,4158,-3037) (46/63,19/26) -> (33/40,52/63) Hyperbolic Matrix(2177,-1688,2640,-2047) (31/40,7/9) -> (47/57,33/40) Hyperbolic Matrix(595,-486,726,-593) (22/27,9/11) -> (9/11,32/39) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,2,0,1) Matrix(857,776,-1386,-1255) -> Matrix(1,0,0,1) Matrix(529,474,-1914,-1715) -> Matrix(1,0,-2,1) Matrix(197,174,-1122,-991) -> Matrix(3,-8,2,-5) Matrix(329,290,1122,989) -> Matrix(1,-6,0,1) Matrix(857,746,2046,1781) -> Matrix(1,6,0,1) Matrix(923,802,1518,1319) -> Matrix(7,24,2,7) Matrix(527,456,-2442,-2113) -> Matrix(1,0,0,1) Matrix(263,226,-462,-397) -> Matrix(1,2,0,1) Matrix(1123,956,-1782,-1517) -> Matrix(1,2,-2,-3) Matrix(1121,952,1320,1121) -> Matrix(19,22,6,7) Matrix(727,616,858,727) -> Matrix(11,8,4,3) Matrix(329,278,858,725) -> Matrix(1,2,0,1) Matrix(397,334,-1254,-1055) -> Matrix(1,0,2,1) Matrix(991,832,3696,3103) -> Matrix(13,8,8,5) Matrix(1913,1602,2442,2045) -> Matrix(1,2,0,1) Matrix(329,272,-1518,-1255) -> Matrix(1,0,0,1) Matrix(991,818,-1518,-1253) -> Matrix(1,0,-2,1) Matrix(131,108,-1122,-925) -> Matrix(5,-4,4,-3) Matrix(265,218,-1122,-923) -> Matrix(3,-8,2,-5) Matrix(593,486,-726,-595) -> Matrix(1,-10,0,1) Matrix(2771,2260,5016,4091) -> Matrix(1,8,0,1) Matrix(5743,4682,7854,6403) -> Matrix(7,52,2,15) Matrix(595,484,1056,859) -> Matrix(5,22,2,9) Matrix(859,696,1386,1123) -> Matrix(1,4,0,1) Matrix(725,586,-1716,-1387) -> Matrix(3,4,2,3) Matrix(133,106,-330,-263) -> Matrix(1,2,0,1) Matrix(727,576,1584,1255) -> Matrix(1,4,0,1) Matrix(329,260,-1254,-991) -> Matrix(3,4,8,11) Matrix(989,780,1254,989) -> Matrix(25,28,8,9) Matrix(727,572,924,727) -> Matrix(17,14,6,5) Matrix(1187,932,1848,1451) -> Matrix(11,8,4,3) Matrix(5015,3934,11946,9371) -> Matrix(9,4,2,1) Matrix(329,258,-2442,-1915) -> Matrix(3,2,4,3) Matrix(263,206,-1518,-1189) -> Matrix(1,2,0,1) Matrix(1387,1084,-3630,-2837) -> Matrix(1,0,4,1) Matrix(331,258,594,463) -> Matrix(1,2,0,1) Matrix(67,52,-594,-461) -> Matrix(3,-2,2,-1) Matrix(395,306,-2046,-1585) -> Matrix(1,-4,2,-7) Matrix(791,612,2046,1583) -> Matrix(3,-14,2,-9) Matrix(527,406,-858,-661) -> Matrix(1,2,0,1) Matrix(263,202,858,659) -> Matrix(5,6,4,5) Matrix(1253,960,1980,1517) -> Matrix(5,2,2,1) Matrix(199,152,-1122,-857) -> Matrix(5,-4,4,-3) Matrix(3829,2914,6072,4621) -> Matrix(1,2,0,1) Matrix(1715,1304,4686,3563) -> Matrix(5,-4,4,-3) Matrix(793,602,1914,1453) -> Matrix(1,-2,0,1) Matrix(857,634,-1518,-1123) -> Matrix(1,4,-2,-7) Matrix(263,194,-1254,-925) -> Matrix(1,2,4,9) Matrix(859,632,2244,1651) -> Matrix(1,4,0,1) Matrix(1189,874,-4488,-3299) -> Matrix(1,2,8,17) Matrix(463,340,990,727) -> Matrix(7,12,4,7) Matrix(2113,1548,4686,3433) -> Matrix(39,62,22,35) Matrix(2969,2174,-11088,-8119) -> Matrix(7,10,16,23) Matrix(4885,3576,12804,9373) -> Matrix(7,12,4,7) Matrix(593,434,3696,2705) -> Matrix(3,4,2,3) Matrix(1583,1158,5412,3959) -> Matrix(11,16,2,3) Matrix(7259,5308,8844,6467) -> Matrix(1,2,-2,-3) Matrix(3433,2510,9570,6997) -> Matrix(3,4,2,3) Matrix(527,384,-726,-529) -> Matrix(5,6,-6,-7) Matrix(1253,908,-1914,-1387) -> Matrix(3,2,-2,-1) Matrix(3961,2870,-13662,-9899) -> Matrix(3,2,4,3) Matrix(3037,2200,3828,2773) -> Matrix(5,2,2,1) Matrix(923,668,-3102,-2245) -> Matrix(13,8,8,5) Matrix(2707,1958,4290,3103) -> Matrix(1,0,2,1) Matrix(1453,1050,2376,1717) -> Matrix(9,4,2,1) Matrix(463,334,-1188,-857) -> Matrix(1,0,6,1) Matrix(923,664,1650,1187) -> Matrix(3,-2,2,-1) Matrix(1253,900,2112,1517) -> Matrix(5,2,2,1) Matrix(1123,806,3036,2179) -> Matrix(3,4,2,3) Matrix(529,376,-2970,-2111) -> Matrix(5,16,4,13) Matrix(659,468,-2046,-1453) -> Matrix(1,2,2,5) Matrix(3563,2530,-13200,-9373) -> Matrix(1,2,4,9) Matrix(925,656,-2046,-1451) -> Matrix(1,2,6,13) Matrix(661,468,-3168,-2243) -> Matrix(3,4,8,11) Matrix(1453,1028,5412,3829) -> Matrix(27,32,16,19) Matrix(5741,4060,8118,5741) -> Matrix(61,64,20,21) Matrix(8119,5740,11484,8119) -> Matrix(89,86,30,29) Matrix(133,94,1122,793) -> Matrix(7,6,8,7) Matrix(661,466,-1122,-791) -> Matrix(1,0,2,1) Matrix(2707,1904,4224,2971) -> Matrix(5,2,2,1) Matrix(14849,10440,21120,14849) -> Matrix(3,-2,2,-1) Matrix(23431,16472,33330,23431) -> Matrix(1,0,0,1) Matrix(3497,2458,4224,2969) -> Matrix(1,2,0,1) Matrix(857,602,-3102,-2179) -> Matrix(1,0,-2,1) Matrix(461,322,660,461) -> Matrix(1,2,0,1) Matrix(1057,736,1518,1057) -> Matrix(1,8,0,1) Matrix(659,458,1518,1055) -> Matrix(3,4,2,3) Matrix(199,138,858,595) -> Matrix(1,2,0,1) Matrix(463,320,-858,-593) -> Matrix(1,2,-2,-3) Matrix(1187,818,1914,1319) -> Matrix(3,4,2,3) Matrix(727,498,1254,859) -> Matrix(9,2,4,1) Matrix(199,136,-1254,-857) -> Matrix(1,0,0,1) Matrix(1387,944,1650,1123) -> Matrix(1,4,0,1) Matrix(593,402,-2046,-1387) -> Matrix(1,2,0,1) Matrix(461,300,-1320,-859) -> Matrix(1,0,0,1) Matrix(463,300,1122,727) -> Matrix(1,4,0,1) Matrix(793,512,2046,1321) -> Matrix(23,18,14,11) Matrix(3103,2000,-5016,-3233) -> Matrix(3,2,-2,-1) Matrix(4883,3146,5940,3827) -> Matrix(7,4,-2,-1) Matrix(659,424,-1848,-1189) -> Matrix(5,2,2,1) Matrix(1451,932,1848,1187) -> Matrix(11,8,4,3) Matrix(2905,1864,6996,4489) -> Matrix(5,2,2,1) Matrix(6533,4190,-18216,-11683) -> Matrix(9,4,2,1) Matrix(2573,1650,9570,6137) -> Matrix(31,12,18,7) Matrix(2971,1904,4224,2707) -> Matrix(5,2,2,1) Matrix(2377,1522,3300,2113) -> Matrix(9,2,4,1) Matrix(461,294,-726,-463) -> Matrix(1,0,2,1) Matrix(1123,712,4686,2971) -> Matrix(3,-4,4,-5) Matrix(5149,3264,9372,5941) -> Matrix(1,0,0,1) Matrix(7259,4600,9372,5939) -> Matrix(1,0,0,1) Matrix(2573,1630,-5940,-3763) -> Matrix(1,0,2,1) Matrix(1517,960,1980,1253) -> Matrix(5,2,2,1) Matrix(661,418,1254,793) -> Matrix(1,2,0,1) Matrix(1057,668,2508,1585) -> Matrix(1,0,0,1) Matrix(3103,1958,4290,2707) -> Matrix(5,-8,2,-3) Matrix(14983,9450,18942,11947) -> Matrix(7,24,2,7) Matrix(26401,16650,36630,23101) -> Matrix(5,12,2,5) Matrix(4621,2914,6072,3829) -> Matrix(1,2,0,1) Matrix(857,540,3036,1913) -> Matrix(5,2,2,1) Matrix(1783,1122,4092,2575) -> Matrix(3,-8,2,-5) Matrix(3037,1910,-8184,-5147) -> Matrix(1,-8,2,-15) Matrix(1649,1036,-2838,-1783) -> Matrix(1,2,-2,-3) Matrix(199,124,-528,-329) -> Matrix(1,0,4,1) Matrix(1319,818,1914,1187) -> Matrix(7,-4,2,-1) Matrix(1123,696,1386,859) -> Matrix(1,4,0,1) Matrix(3431,2122,12804,7919) -> Matrix(3,-8,2,-5) Matrix(6337,3918,10890,6733) -> Matrix(5,12,2,5) Matrix(793,490,-3630,-2243) -> Matrix(1,0,2,1) Matrix(593,366,2244,1385) -> Matrix(7,-2,4,-1) Matrix(133,82,858,529) -> Matrix(1,2,0,1) Matrix(463,284,2046,1255) -> Matrix(1,4,0,1) Matrix(725,444,2046,1253) -> Matrix(1,0,0,1) Matrix(9899,6060,16170,9899) -> Matrix(1,-12,0,1) Matrix(23431,14342,38280,23431) -> Matrix(1,42,0,1) Matrix(7787,4766,18546,11351) -> Matrix(1,14,0,1) Matrix(1717,1050,2376,1453) -> Matrix(5,12,2,5) Matrix(331,202,-1188,-725) -> Matrix(1,2,0,1) Matrix(1319,802,1518,923) -> Matrix(11,16,2,3) Matrix(859,522,1848,1123) -> Matrix(5,6,4,5) Matrix(1121,680,1848,1121) -> Matrix(31,34,10,11) Matrix(199,120,330,199) -> Matrix(11,8,4,3) Matrix(67,40,-330,-197) -> Matrix(1,0,4,1) Matrix(1517,900,2112,1253) -> Matrix(5,2,2,1) Matrix(595,352,1452,859) -> Matrix(13,2,6,1) Matrix(593,350,1452,857) -> Matrix(7,-2,4,-1) Matrix(395,232,1122,659) -> Matrix(1,4,0,1) Matrix(859,504,1914,1123) -> Matrix(7,12,4,7) Matrix(3365,1972,5742,3365) -> Matrix(25,28,8,9) Matrix(8119,4756,13860,8119) -> Matrix(77,74,26,25) Matrix(461,270,1914,1121) -> Matrix(9,8,10,9) Matrix(1453,850,-2706,-1583) -> Matrix(3,2,-8,-5) Matrix(2507,1466,6996,4091) -> Matrix(1,0,2,1) Matrix(661,386,1584,925) -> Matrix(1,0,2,1) Matrix(659,384,1584,923) -> Matrix(5,2,2,1) Matrix(725,422,792,461) -> Matrix(9,4,2,1) Matrix(4487,2610,7260,4223) -> Matrix(9,2,4,1) Matrix(265,154,2046,1189) -> Matrix(3,4,2,3) Matrix(1847,1072,4092,2375) -> Matrix(51,20,28,11) Matrix(2575,1494,11946,6931) -> Matrix(45,16,14,5) Matrix(7195,4174,18546,10759) -> Matrix(211,72,126,43) Matrix(859,498,1254,727) -> Matrix(9,2,4,1) Matrix(923,534,2508,1451) -> Matrix(19,4,14,3) Matrix(3301,1908,-8448,-4883) -> Matrix(1,0,8,1) Matrix(329,190,-1716,-991) -> Matrix(11,2,16,3) Matrix(989,570,1716,989) -> Matrix(33,2,16,1) Matrix(265,152,462,265) -> Matrix(3,-2,2,-1) Matrix(3829,2174,4884,2773) -> Matrix(5,12,2,5) Matrix(1981,1124,4422,2509) -> Matrix(3,-2,2,-1) Matrix(2311,1310,-6402,-3629) -> Matrix(3,4,2,3) Matrix(463,262,1518,859) -> Matrix(7,8,6,7) Matrix(1517,856,4092,2309) -> Matrix(11,4,8,3) Matrix(859,484,1056,595) -> Matrix(13,6,2,1) Matrix(463,260,-1056,-593) -> Matrix(1,0,8,1) Matrix(1187,664,1650,923) -> Matrix(3,-2,2,-1) Matrix(463,258,594,331) -> Matrix(1,2,0,1) Matrix(4489,2484,6204,3433) -> Matrix(5,-18,2,-7) Matrix(2243,1240,-5016,-2773) -> Matrix(1,2,2,5) Matrix(3631,2006,4422,2443) -> Matrix(1,-2,0,1) Matrix(1913,1056,4422,2441) -> Matrix(3,-2,2,-1) Matrix(791,436,1914,1055) -> Matrix(1,4,0,1) Matrix(4685,2574,7326,4025) -> Matrix(5,-8,2,-3) Matrix(1253,688,4686,2573) -> Matrix(3,-2,2,-1) Matrix(1717,942,4092,2245) -> Matrix(1,2,0,1) Matrix(595,326,-2046,-1121) -> Matrix(1,2,0,1) Matrix(461,250,-1584,-859) -> Matrix(1,0,2,1) Matrix(329,178,1584,857) -> Matrix(1,2,0,1) Matrix(593,318,-1848,-991) -> Matrix(1,0,6,1) Matrix(725,388,1848,989) -> Matrix(11,-2,6,-1) Matrix(263,140,990,527) -> Matrix(5,2,2,1) Matrix(793,418,1254,661) -> Matrix(1,2,0,1) Matrix(461,218,1254,593) -> Matrix(3,4,2,3) Matrix(727,340,990,463) -> Matrix(15,-4,4,-1) Matrix(1123,522,1848,859) -> Matrix(13,-10,4,-3) Matrix(1123,520,-2706,-1253) -> Matrix(1,0,0,1) Matrix(265,122,-858,-395) -> Matrix(3,2,4,3) Matrix(329,150,-726,-331) -> Matrix(1,0,10,1) Matrix(2375,1072,4092,1847) -> Matrix(67,-12,28,-5) Matrix(3433,1548,4686,2113) -> Matrix(79,-18,22,-5) Matrix(3431,1546,9372,4223) -> Matrix(19,-6,16,-5) Matrix(1123,504,1914,859) -> Matrix(15,-4,4,-1) Matrix(2509,1124,4422,1981) -> Matrix(3,-2,2,-1) Matrix(925,414,5016,2245) -> Matrix(25,-8,22,-7) Matrix(9637,4308,17424,7789) -> Matrix(13,-6,-2,1) Matrix(9635,4306,17424,7787) -> Matrix(15,-8,2,-1) Matrix(529,236,594,265) -> Matrix(3,-2,2,-1) Matrix(131,58,594,263) -> Matrix(1,2,0,1) Matrix(463,204,1650,727) -> Matrix(5,2,2,1) Matrix(2443,1074,4356,1915) -> Matrix(41,2,20,1) Matrix(2441,1072,4356,1913) -> Matrix(43,-2,22,-1) Matrix(197,86,1056,461) -> Matrix(19,-6,16,-5) Matrix(395,172,-1518,-661) -> Matrix(1,0,0,1) Matrix(1055,458,1518,659) -> Matrix(7,-4,2,-1) Matrix(9835,4258,-36432,-15773) -> Matrix(1,0,2,1) Matrix(2441,1056,4422,1913) -> Matrix(3,-2,2,-1) Matrix(65,28,-462,-199) -> Matrix(1,0,0,1) Matrix(197,84,462,197) -> Matrix(5,-4,4,-3) Matrix(727,308,1716,727) -> Matrix(5,-6,6,-7) Matrix(1055,446,-4686,-1981) -> Matrix(3,-4,-2,3) Matrix(2839,1198,-10164,-4289) -> Matrix(1,-2,4,-7) Matrix(1585,668,2508,1057) -> Matrix(1,0,0,1) Matrix(395,166,1254,527) -> Matrix(3,-8,2,-5) Matrix(11351,4766,18546,7787) -> Matrix(1,14,0,1) Matrix(9371,3934,11946,5015) -> Matrix(5,12,2,5) Matrix(2245,942,4092,1717) -> Matrix(1,2,0,1) Matrix(1055,442,-2838,-1189) -> Matrix(1,0,2,1) Matrix(2839,1188,3630,1519) -> Matrix(5,2,2,1) Matrix(4157,1738,10890,4553) -> Matrix(7,-2,4,-1) Matrix(925,386,1584,661) -> Matrix(5,-8,2,-3) Matrix(923,384,1584,659) -> Matrix(5,2,2,1) Matrix(4489,1864,6996,2905) -> Matrix(5,2,2,1) Matrix(3365,1396,-11616,-4819) -> Matrix(1,0,0,1) Matrix(1453,602,1914,793) -> Matrix(1,-2,0,1) Matrix(5741,2378,13860,5741) -> Matrix(1,-10,0,1) Matrix(2377,984,5742,2377) -> Matrix(1,8,0,1) Matrix(1055,436,1914,791) -> Matrix(1,4,0,1) Matrix(727,300,1122,463) -> Matrix(1,4,0,1) Matrix(331,136,-1122,-461) -> Matrix(5,2,2,1) Matrix(1255,512,1782,727) -> Matrix(3,-2,2,-1) Matrix(595,242,2112,859) -> Matrix(1,2,0,1) Matrix(3565,1446,4884,1981) -> Matrix(13,-10,4,-3) Matrix(131,52,330,131) -> Matrix(5,2,2,1) Matrix(727,286,1848,727) -> Matrix(47,-2,24,-1) Matrix(989,388,1848,725) -> Matrix(11,-2,6,-1) Matrix(199,78,1518,595) -> Matrix(29,-4,22,-3) Matrix(3365,1316,4554,1781) -> Matrix(15,-4,4,-1) Matrix(17357,6784,27522,10757) -> Matrix(15,-4,4,-1) Matrix(2705,1056,4224,1649) -> Matrix(3,-2,2,-1) Matrix(659,256,2376,923) -> Matrix(15,-4,4,-1) Matrix(10759,4174,18546,7195) -> Matrix(295,-96,126,-41) Matrix(14849,5760,38280,14849) -> Matrix(611,-202,366,-121) Matrix(6271,2432,16170,6271) -> Matrix(259,-88,156,-53) Matrix(1321,512,2046,793) -> Matrix(39,-14,14,-5) Matrix(197,76,-858,-331) -> Matrix(3,-2,2,-1) Matrix(725,278,858,329) -> Matrix(1,2,0,1) Matrix(1651,632,2244,859) -> Matrix(1,4,0,1) Matrix(3037,1160,7260,2773) -> Matrix(3,-2,2,-1) Matrix(131,50,-1386,-529) -> Matrix(1,0,-2,1) Matrix(1783,680,-5016,-1913) -> Matrix(3,-2,2,-1) Matrix(263,100,1386,527) -> Matrix(5,-4,4,-3) Matrix(595,226,1914,727) -> Matrix(3,4,2,3) Matrix(2707,1026,4356,1651) -> Matrix(17,2,8,1) Matrix(2705,1024,4356,1649) -> Matrix(19,-2,10,-1) Matrix(461,172,528,197) -> Matrix(11,-6,2,-1) Matrix(10957,4068,17424,6469) -> Matrix(21,-10,-2,1) Matrix(10955,4066,17424,6467) -> Matrix(39,-20,2,-1) Matrix(1321,490,1782,661) -> Matrix(15,-8,2,-1) Matrix(265,98,-1782,-659) -> Matrix(3,-2,8,-5) Matrix(1451,536,6072,2243) -> Matrix(1,0,0,1) Matrix(16765,6192,27522,10165) -> Matrix(37,-26,10,-7) Matrix(12673,4680,17160,6337) -> Matrix(21,-16,4,-3) Matrix(1187,438,4290,1583) -> Matrix(1,2,0,1) Matrix(1451,534,2508,923) -> Matrix(31,-20,14,-9) Matrix(593,218,1254,461) -> Matrix(7,-4,2,-1) Matrix(463,170,1980,727) -> Matrix(3,-2,-4,3) Matrix(263,96,-726,-265) -> Matrix(7,-6,6,-5) Matrix(4883,1762,-16830,-6073) -> Matrix(3,-4,-2,3) Matrix(1913,690,2376,857) -> Matrix(5,-8,2,-3) Matrix(3301,1190,7326,2641) -> Matrix(3,-8,2,-5) Matrix(2509,904,3300,1189) -> Matrix(1,-2,2,-3) Matrix(2575,926,4224,1519) -> Matrix(1,2,0,1) Matrix(1253,450,4224,1517) -> Matrix(1,-2,0,1) Matrix(6997,2510,9570,3433) -> Matrix(7,-4,2,-1) Matrix(25147,9018,39204,14059) -> Matrix(5,-28,2,-11) Matrix(25145,9016,39204,14057) -> Matrix(5,22,2,9) Matrix(4091,1466,6996,2507) -> Matrix(5,-8,2,-3) Matrix(397,142,1848,661) -> Matrix(5,-8,2,-3) Matrix(11221,3996,17424,6205) -> Matrix(5,-58,2,-23) Matrix(11219,3994,17424,6203) -> Matrix(5,32,2,13) Matrix(2969,1056,3894,1385) -> Matrix(1,0,0,1) Matrix(6667,2368,9108,3235) -> Matrix(7,-18,2,-5) Matrix(1253,444,2046,725) -> Matrix(1,0,0,1) Matrix(659,232,1122,395) -> Matrix(1,4,0,1) Matrix(2839,990,4356,1519) -> Matrix(9,2,4,1) Matrix(2837,988,4356,1517) -> Matrix(3,-2,2,-1) Matrix(265,92,-1518,-527) -> Matrix(3,-2,2,-1) Matrix(991,316,1452,463) -> Matrix(3,-2,2,-1) Matrix(989,314,1452,461) -> Matrix(7,-4,2,-1) Matrix(527,166,1254,395) -> Matrix(1,0,-2,1) Matrix(727,226,1914,595) -> Matrix(7,-4,2,-1) Matrix(1517,470,1914,593) -> Matrix(13,-10,4,-3) Matrix(659,202,858,263) -> Matrix(13,-10,4,-3) Matrix(859,262,1518,463) -> Matrix(19,-16,6,-5) Matrix(461,140,1518,461) -> Matrix(21,-20,20,-19) Matrix(199,60,660,199) -> Matrix(5,-6,6,-7) Matrix(67,20,-660,-197) -> Matrix(1,-2,2,-3) Matrix(5741,1706,7326,2177) -> Matrix(13,-24,6,-11) Matrix(9899,2940,33330,9899) -> Matrix(1,-2,22,-43) Matrix(6271,1862,21120,6271) -> Matrix(1,-2,-8,17) Matrix(1517,450,4224,1253) -> Matrix(1,-2,0,1) Matrix(1055,312,1782,527) -> Matrix(9,-16,4,-7) Matrix(989,290,1122,329) -> Matrix(1,-6,0,1) Matrix(3365,986,11484,3365) -> Matrix(1,-26,0,1) Matrix(2377,696,8118,2377) -> Matrix(1,16,0,1) Matrix(3959,1158,5412,1583) -> Matrix(7,24,2,7) Matrix(1123,328,-4290,-1253) -> Matrix(1,2,2,5) Matrix(79067,22934,108306,31415) -> Matrix(27,10,8,3) Matrix(43363,12576,59400,17227) -> Matrix(7,10,2,3) Matrix(595,172,-2508,-725) -> Matrix(3,-2,2,-1) Matrix(395,112,462,131) -> Matrix(1,4,0,1) Matrix(859,242,2112,595) -> Matrix(1,2,0,1) Matrix(727,204,1650,463) -> Matrix(5,2,2,1) Matrix(1187,332,3300,923) -> Matrix(1,0,0,1) Matrix(13529,3778,36630,10229) -> Matrix(13,-4,10,-3) Matrix(8977,2506,11352,3169) -> Matrix(13,-10,4,-3) Matrix(923,256,2376,659) -> Matrix(7,12,4,7) Matrix(1583,438,4290,1187) -> Matrix(1,2,0,1) Matrix(2771,766,6204,1715) -> Matrix(1,2,0,1) Matrix(197,54,-726,-199) -> Matrix(1,0,6,1) Matrix(2903,784,4884,1319) -> Matrix(3,-2,2,-1) Matrix(42173,11386,59400,16037) -> Matrix(23,-4,6,-1) Matrix(76891,20758,108306,29239) -> Matrix(7,-2,4,-1) Matrix(727,196,-4158,-1121) -> Matrix(11,-2,6,-1) Matrix(6137,1650,9570,2573) -> Matrix(43,-12,18,-5) Matrix(1451,390,7854,2111) -> Matrix(31,-10,28,-9) Matrix(3829,1028,5412,1453) -> Matrix(51,-16,16,-5) Matrix(3103,832,3696,991) -> Matrix(21,-8,8,-3) Matrix(5873,1574,9108,2441) -> Matrix(41,-18,16,-7) Matrix(28711,7686,39204,10495) -> Matrix(211,-102,60,-29) Matrix(28709,7684,39204,10493) -> Matrix(153,-80,44,-23) Matrix(2573,688,4686,1253) -> Matrix(3,-2,2,-1) Matrix(527,140,990,263) -> Matrix(5,2,2,1) Matrix(12805,3396,17424,4621) -> Matrix(97,4,24,1) Matrix(12803,3394,17424,4619) -> Matrix(119,-4,30,-1) Matrix(1385,366,2244,593) -> Matrix(7,-2,4,-1) Matrix(10823,2830,17160,4487) -> Matrix(7,-4,2,-1) Matrix(2773,724,4554,1189) -> Matrix(15,-4,4,-1) Matrix(1121,290,1782,461) -> Matrix(1,0,-2,1) Matrix(1121,270,1914,461) -> Matrix(29,-32,10,-11) Matrix(2111,506,3300,791) -> Matrix(17,-20,6,-7) Matrix(2243,536,6072,1451) -> Matrix(1,0,0,1) Matrix(2509,596,3894,925) -> Matrix(31,-44,12,-17) Matrix(727,170,1980,463) -> Matrix(5,-14,4,-11) Matrix(595,138,858,199) -> Matrix(1,2,0,1) Matrix(1123,256,1452,331) -> Matrix(1,-4,0,1) Matrix(1121,254,1452,329) -> Matrix(1,6,0,1) Matrix(3433,774,9372,2113) -> Matrix(5,6,4,5) Matrix(463,104,-2640,-593) -> Matrix(3,-2,2,-1) Matrix(263,58,594,131) -> Matrix(1,2,0,1) Matrix(2111,460,3630,791) -> Matrix(5,2,2,1) Matrix(397,86,2442,529) -> Matrix(1,2,0,1) Matrix(5149,1114,7326,1585) -> Matrix(1,2,0,1) Matrix(2111,456,4884,1055) -> Matrix(3,-2,2,-1) Matrix(6931,1494,11946,2575) -> Matrix(33,40,14,17) Matrix(661,142,1848,397) -> Matrix(1,0,2,1) Matrix(197,42,924,197) -> Matrix(9,2,4,1) Matrix(265,56,1254,265) -> Matrix(19,-2,10,-1) Matrix(8183,1712,11352,2375) -> Matrix(3,-2,2,-1) Matrix(6995,1462,18942,3959) -> Matrix(19,-6,16,-5) Matrix(1321,274,1914,397) -> Matrix(7,-4,2,-1) Matrix(1055,218,3828,791) -> Matrix(1,2,0,1) Matrix(1519,296,2376,463) -> Matrix(19,-12,8,-5) Matrix(527,100,1386,263) -> Matrix(5,-4,4,-3) Matrix(461,86,1056,197) -> Matrix(27,-22,16,-13) Matrix(131,24,-726,-133) -> Matrix(15,-14,14,-13) Matrix(2377,426,8844,1585) -> Matrix(23,-28,14,-17) Matrix(1979,354,4422,791) -> Matrix(33,-38,20,-23) Matrix(2113,376,5940,1057) -> Matrix(3,-4,4,-5) Matrix(1255,216,4224,727) -> Matrix(1,-2,6,-11) Matrix(331,56,396,67) -> Matrix(1,0,0,1) Matrix(329,54,396,65) -> Matrix(1,2,0,1) Matrix(2705,434,3696,593) -> Matrix(7,-4,2,-1) Matrix(527,84,1650,263) -> Matrix(3,-2,2,-1) Matrix(529,82,858,133) -> Matrix(1,2,0,1) Matrix(131,20,858,131) -> Matrix(5,2,2,1) Matrix(199,30,1320,199) -> Matrix(15,-2,8,-1) Matrix(331,48,462,67) -> Matrix(3,-2,2,-1) Matrix(1255,172,1452,199) -> Matrix(3,-2,2,-1) Matrix(1253,170,1452,197) -> Matrix(15,-8,2,-1) Matrix(595,78,1518,199) -> Matrix(41,-28,22,-15) Matrix(331,42,528,67) -> Matrix(13,-10,4,-3) Matrix(793,94,1122,133) -> Matrix(23,-26,8,-9) Matrix(329,36,594,65) -> Matrix(1,0,0,1) Matrix(331,28,792,67) -> Matrix(3,-2,2,-1) Matrix(529,-50,1386,-131) -> Matrix(3,-8,2,-5) Matrix(1385,-144,1914,-199) -> Matrix(5,-18,2,-7) Matrix(925,-108,1122,-131) -> Matrix(5,-4,4,-3) Matrix(1915,-258,2442,-329) -> Matrix(11,-14,4,-5) Matrix(199,-28,462,-65) -> Matrix(1,0,0,1) Matrix(659,-98,1782,-265) -> Matrix(11,-18,8,-13) Matrix(857,-136,1254,-199) -> Matrix(1,0,0,1) Matrix(1189,-206,1518,-263) -> Matrix(1,2,0,1) Matrix(527,-92,1518,-265) -> Matrix(3,-2,2,-1) Matrix(991,-174,1122,-197) -> Matrix(1,0,-2,1) Matrix(857,-152,1122,-199) -> Matrix(5,-4,4,-3) Matrix(133,-24,726,-131) -> Matrix(15,-14,14,-13) Matrix(991,-190,1716,-329) -> Matrix(35,-46,16,-21) Matrix(197,-40,330,-67) -> Matrix(9,-16,4,-7) Matrix(925,-194,1254,-263) -> Matrix(17,-30,4,-7) Matrix(2113,-456,2442,-527) -> Matrix(1,0,0,1) Matrix(1255,-272,1518,-329) -> Matrix(1,0,0,1) Matrix(2243,-490,3630,-793) -> Matrix(5,-8,2,-3) Matrix(527,-118,594,-133) -> Matrix(1,-2,0,1) Matrix(1651,-372,2046,-461) -> Matrix(1,0,0,1) Matrix(331,-76,858,-197) -> Matrix(3,-2,2,-1) Matrix(923,-218,1122,-265) -> Matrix(1,0,-2,1) Matrix(661,-172,1518,-395) -> Matrix(1,0,0,1) Matrix(991,-260,1254,-329) -> Matrix(27,-44,8,-13) Matrix(3299,-874,4488,-1189) -> Matrix(33,-62,8,-15) Matrix(8119,-2174,11088,-2969) -> Matrix(55,-86,16,-25) Matrix(199,-54,726,-197) -> Matrix(13,-24,6,-11) Matrix(661,-182,1914,-527) -> Matrix(3,-8,2,-5) Matrix(9701,-2672,13662,-3763) -> Matrix(7,-18,2,-5) Matrix(2179,-602,3102,-857) -> Matrix(3,-8,2,-5) Matrix(725,-202,1188,-331) -> Matrix(1,2,0,1) Matrix(2441,-706,2970,-859) -> Matrix(1,-2,0,1) Matrix(1387,-402,2046,-593) -> Matrix(1,2,0,1) Matrix(9637,-2794,13200,-3827) -> Matrix(7,-4,2,-1) Matrix(1121,-326,2046,-595) -> Matrix(1,2,0,1) Matrix(2507,-732,3168,-925) -> Matrix(7,-18,2,-5) Matrix(461,-136,1122,-331) -> Matrix(5,2,2,1) Matrix(2245,-668,3102,-923) -> Matrix(21,-8,8,-3) Matrix(395,-122,858,-265) -> Matrix(11,-14,4,-5) Matrix(1055,-334,1254,-397) -> Matrix(5,-8,2,-3) Matrix(1453,-468,2046,-659) -> Matrix(9,-14,2,-3) Matrix(859,-300,1320,-461) -> Matrix(1,0,0,1) Matrix(1913,-680,5016,-1783) -> Matrix(3,-2,2,-1) Matrix(1189,-424,1848,-659) -> Matrix(5,2,2,1) Matrix(11683,-4190,18216,-6533) -> Matrix(5,12,2,5) Matrix(265,-96,726,-263) -> Matrix(7,-6,6,-5) Matrix(3367,-1234,5940,-2177) -> Matrix(11,-14,4,-5) Matrix(5147,-1910,8184,-3037) -> Matrix(11,-16,-2,3) Matrix(1189,-442,2838,-1055) -> Matrix(5,-8,2,-3) Matrix(329,-124,528,-199) -> Matrix(9,-16,4,-7) Matrix(2837,-1084,3630,-1387) -> Matrix(9,-16,4,-7) Matrix(857,-334,1188,-463) -> Matrix(13,-24,6,-11) Matrix(263,-106,330,-133) -> Matrix(1,2,0,1) Matrix(1253,-520,2706,-1123) -> Matrix(1,0,0,1) Matrix(5147,-2172,8448,-3565) -> Matrix(15,-4,4,-1) Matrix(1387,-586,1716,-725) -> Matrix(7,-4,2,-1) Matrix(4091,-1772,6402,-2773) -> Matrix(9,-16,4,-7) Matrix(593,-260,1056,-463) -> Matrix(17,-32,8,-15) Matrix(2773,-1240,5016,-2243) -> Matrix(9,-14,2,-3) Matrix(1451,-656,2046,-925) -> Matrix(25,-46,6,-11) Matrix(1123,-514,1584,-725) -> Matrix(15,-34,4,-9) Matrix(1255,-582,1848,-857) -> Matrix(1,2,0,1) Matrix(1583,-850,2706,-1453) -> Matrix(21,-50,8,-19) Matrix(593,-320,858,-463) -> Matrix(7,-18,2,-5) Matrix(397,-216,726,-395) -> Matrix(7,-18,2,-5) Matrix(1123,-634,1518,-857) -> Matrix(11,-28,2,-5) Matrix(26597,-15082,36432,-20659) -> Matrix(7,-4,2,-1) Matrix(397,-226,462,-263) -> Matrix(1,2,0,1) Matrix(3631,-2096,4686,-2705) -> Matrix(1,-2,-6,13) Matrix(7325,-4234,10164,-5875) -> Matrix(3,-8,2,-5) Matrix(1783,-1036,2838,-1649) -> Matrix(7,-18,2,-5) Matrix(8251,-4828,11616,-6797) -> Matrix(13,-36,4,-11) Matrix(791,-466,1122,-661) -> Matrix(5,-8,2,-3) Matrix(661,-406,858,-527) -> Matrix(1,2,0,1) Matrix(1255,-776,1386,-857) -> Matrix(1,0,0,1) Matrix(3233,-2000,5016,-3103) -> Matrix(5,-18,2,-7) Matrix(1517,-956,1782,-1123) -> Matrix(7,-18,2,-5) Matrix(463,-294,726,-461) -> Matrix(5,-8,2,-3) Matrix(11947,-7636,16830,-10757) -> Matrix(7,-18,2,-5) Matrix(1253,-818,1518,-991) -> Matrix(3,-8,2,-5) Matrix(593,-416,660,-463) -> Matrix(1,0,0,1) Matrix(3167,-2242,4290,-3037) -> Matrix(19,-62,4,-13) Matrix(1913,-1360,2508,-1783) -> Matrix(1,-4,0,1) Matrix(529,-384,726,-527) -> Matrix(19,-54,6,-17) Matrix(3431,-2506,4158,-3037) -> Matrix(1,-4,2,-7) Matrix(2177,-1688,2640,-2047) -> Matrix(3,-2,2,-1) Matrix(595,-486,726,-593) -> Matrix(1,-10,0,1) 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): 160 Degree of the the map X: 160 Degree of the the map Y: 480 ----------------------------------------------------------------------- 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): 1440 Minimal number of generators: 241 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: 80 Genus: 81 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/11 -11/15 -8/11 -2/3 -7/11 -6/11 -5/11 -29/66 -5/12 -25/66 -4/11 -1/3 -8/27 -3/11 -2/9 -12/55 -4/21 -2/11 -1/6 -4/27 -1/9 -1/11 0/1 1/10 1/9 1/8 2/15 1/7 5/33 2/13 1/6 4/23 2/11 3/16 4/21 1/5 6/29 4/19 7/33 3/14 2/9 3/13 4/17 1/4 4/15 3/11 2/7 10/33 1/3 4/11 21/55 12/31 64/165 13/33 2/5 5/12 14/33 5/11 1/2 6/11 14/25 19/33 58/99 20/33 34/55 83/132 7/11 2/3 23/33 116/165 70/99 164/231 8/11 11/15 97/132 26/33 9/11 28/33 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/0 -7/8 -6/1 -6/7 -1/1 -11/13 -1/2 -5/6 1/0 -14/17 5/3 -9/11 1/0 -4/5 -3/1 -11/14 -2/3 -18/23 -1/1 -25/32 0/1 -7/9 0/1 -24/31 1/1 -17/22 1/0 -10/13 -1/1 -13/17 1/4 -3/4 -2/1 -17/23 -5/2 -14/19 -1/1 -25/34 -2/1 -11/15 -2/1 -8/11 -1/1 -13/18 -1/2 -18/25 -1/5 -23/32 0/1 -28/39 1/1 -5/7 1/0 -27/38 -2/1 -22/31 -1/1 -17/24 -3/2 -29/41 -11/10 -12/17 -3/5 -19/27 0/1 -45/64 0/1 -26/37 -1/1 -7/10 0/1 -23/33 1/0 -16/23 -3/1 -25/36 1/0 -9/13 1/0 -11/16 -6/5 -2/3 -1/1 -11/17 -5/4 -9/14 0/1 -25/39 0/1 -41/64 0/1 -16/25 1/1 -7/11 0/1 -26/41 1/3 -45/71 1/0 -19/30 1/0 -12/19 1/1 -17/27 0/1 -39/62 4/1 -22/35 -5/1 -5/8 -2/3 -18/29 1/3 -13/21 0/1 -34/55 -1/1 -21/34 0/1 -29/47 1/0 -8/13 1/1 -19/31 1/0 -30/49 7/1 -11/18 1/0 -14/23 -1/1 -3/5 -1/2 -19/32 0/1 -16/27 -1/3 -13/22 0/1 -10/17 3/1 -17/29 -5/4 -24/41 -7/9 -31/53 -1/2 -7/12 -1/2 -25/43 -1/2 -43/74 -4/5 -18/31 -3/7 -11/19 -1/4 -26/45 -1/5 -15/26 0/1 -19/33 0/1 -4/7 1/1 -9/16 -2/7 -14/25 1/7 -19/34 0/1 -5/9 0/1 -16/29 1/1 -11/20 0/1 -6/11 -1/1 -7/13 -1/2 -15/28 0/1 -8/15 -1/3 -1/2 0/1 -6/13 -1/1 -5/11 0/1 -4/9 1/1 -11/25 -1/6 -29/66 0/1 -18/41 1/15 -7/16 2/9 -10/23 1/3 -13/30 1/2 -3/7 1/2 -8/19 1/1 -21/50 8/1 -13/31 1/0 -18/43 -1/1 -23/55 0/1 -28/67 1/1 -5/12 1/0 -12/29 -3/1 -7/17 -3/4 -2/5 -1/1 -13/33 0/1 -11/28 0/1 -20/51 1/9 -9/23 1/6 -25/64 0/1 -16/41 1/1 -7/18 1/4 -26/67 1/3 -19/49 9/26 -12/31 3/7 -5/13 1/2 -18/47 -1/1 -13/34 0/1 -34/89 1/3 -21/55 0/1 -29/76 2/5 -8/21 1/1 -11/29 -1/2 -25/66 0/1 -14/37 1/7 -3/8 2/5 -13/35 1/2 -10/27 3/5 -17/46 2/3 -24/65 1/1 -7/19 1/2 -4/11 1/1 -5/14 2/1 -11/31 1/0 -6/17 -5/1 -1/3 0/1 -5/16 6/11 -4/13 1/1 -3/10 4/3 -11/37 3/2 -8/27 1/1 -5/17 7/2 -2/7 -1/1 -7/25 1/4 -12/43 1/1 -5/18 1/0 -18/65 -1/1 -13/47 -1/2 -8/29 -1/3 -3/11 0/1 -10/37 1/3 -7/26 0/1 -4/15 1/1 -13/49 -1/8 -9/34 0/1 -5/19 1/4 -1/4 2/3 -4/17 9/5 -3/13 1/0 -2/9 -1/1 -7/32 0/1 -12/55 1/1 -5/23 1/0 -8/37 1/1 -3/14 0/1 -7/33 0/1 -4/19 1/5 -9/43 1/2 -5/24 1/2 -1/5 1/2 -5/26 2/3 -4/21 1/1 -3/16 10/13 -2/11 1/1 -3/17 11/8 -1/6 1/0 -3/19 1/0 -2/13 -1/1 -5/33 0/1 -3/20 0/1 -4/27 1/1 -1/7 1/2 -1/8 6/7 -1/9 2/1 -1/10 2/1 -1/11 0/1 0/1 1/1 1/10 0/1 1/9 0/1 1/8 8/7 3/23 5/4 2/15 7/5 1/7 3/2 3/20 2/1 5/33 2/1 2/13 3/1 3/19 1/0 1/6 1/0 4/23 1/1 3/17 5/8 2/11 1/1 3/16 16/13 4/21 1/1 1/5 3/2 6/29 5/3 5/24 3/2 4/19 9/5 7/33 2/1 3/14 2/1 8/37 1/1 5/23 1/0 7/32 2/1 2/9 3/1 5/22 1/0 3/13 1/0 7/30 1/0 4/17 1/5 1/4 4/3 6/23 5/3 5/19 7/4 9/34 2/1 13/49 17/8 4/15 1/1 15/56 8/5 11/41 23/14 7/26 2/1 3/11 2/1 11/40 2/1 19/69 2/1 27/98 2/1 8/29 7/3 13/47 5/2 18/65 3/1 5/18 1/0 7/25 7/4 2/7 3/1 5/17 -3/2 8/27 1/1 19/64 0/1 49/165 0/1 30/101 1/11 11/37 1/2 3/10 2/3 10/33 1/1 7/23 11/10 4/13 1/1 5/16 16/11 6/19 5/3 1/3 2/1 7/20 2/1 6/17 7/1 11/31 1/0 16/45 1/1 5/14 0/1 4/11 1/1 7/19 3/2 24/65 1/1 41/111 4/3 17/46 4/3 27/73 3/2 10/27 7/5 23/62 10/7 13/35 3/2 3/8 8/5 11/29 5/2 19/50 -2/1 8/21 1/1 37/97 3/2 29/76 8/5 50/131 5/3 21/55 2/1 13/34 2/1 18/47 3/1 5/13 3/2 17/44 3/2 12/31 11/7 19/49 43/26 64/165 5/3 45/116 102/61 26/67 5/3 7/18 7/4 9/23 11/6 20/51 17/9 11/28 2/1 13/33 2/1 2/5 3/1 9/22 2/1 16/39 7/3 7/17 11/4 19/46 4/1 12/29 5/1 5/12 1/0 28/67 1/1 23/55 2/1 18/43 3/1 31/74 0/1 13/31 1/0 34/81 3/1 21/50 -6/1 8/19 1/1 11/26 2/3 14/33 1/1 3/7 3/2 16/37 1/1 29/67 3/2 13/30 3/2 10/23 5/3 27/62 4/3 17/39 8/5 7/16 16/9 11/25 13/6 15/34 2/1 4/9 1/1 9/20 2/1 14/31 13/7 5/11 2/1 6/13 3/1 1/2 2/1 9/17 11/6 8/15 7/3 15/28 2/1 7/13 5/2 6/11 3/1 11/20 2/1 16/29 1/1 37/67 1/0 21/38 2/1 5/9 2/1 19/34 2/1 14/25 13/7 37/66 2/1 23/41 29/14 9/16 16/7 4/7 1/1 19/33 2/1 15/26 2/1 41/71 13/6 26/45 11/5 37/64 2/1 11/19 9/4 29/50 44/19 18/31 17/7 25/43 5/2 32/55 7/3 7/12 5/2 38/65 3/1 31/53 5/2 55/94 8/3 24/41 25/9 41/70 38/13 58/99 3/1 17/29 13/4 10/17 -1/1 13/22 2/1 16/27 7/3 19/32 2/1 22/37 3/1 3/5 5/2 20/33 3/1 17/28 16/5 14/23 3/1 39/64 4/1 25/41 15/4 11/18 1/0 41/67 1/0 71/116 22/1 101/165 1/0 30/49 -5/1 19/31 1/0 8/13 1/1 29/47 1/0 21/34 2/1 55/89 5/2 34/55 3/1 47/76 2/1 13/21 2/1 18/29 5/3 41/66 2/1 23/37 13/6 5/8 8/3 27/43 1/0 22/35 7/1 83/132 1/0 61/97 1/0 39/62 -2/1 17/27 2/1 29/46 4/1 12/19 1/1 31/49 13/6 19/30 1/0 7/11 2/1 23/36 5/2 85/133 5/2 62/97 3/1 39/61 5/2 55/86 8/3 16/25 1/1 41/64 2/1 25/39 2/1 9/14 2/1 20/31 19/7 11/17 13/4 2/3 3/1 11/16 16/5 20/29 5/1 9/13 1/0 25/36 1/0 16/23 5/1 23/33 1/0 7/10 2/1 26/37 3/1 71/101 1/0 116/165 1/1 45/64 2/1 19/27 2/1 12/17 13/5 41/58 44/15 70/99 3/1 29/41 31/10 17/24 7/2 22/31 3/1 93/131 1/0 164/231 3/1 71/100 4/1 49/69 4/1 27/38 4/1 5/7 1/0 28/39 1/1 23/32 2/1 18/25 11/5 49/68 2/1 80/111 7/3 31/43 1/0 13/18 5/2 8/11 3/1 11/15 4/1 36/49 43/11 97/132 4/1 61/83 65/16 25/34 4/1 14/19 3/1 31/42 9/2 17/23 9/2 3/4 4/1 16/21 1/1 13/17 7/4 10/13 3/1 17/22 1/0 24/31 1/1 7/9 2/1 25/32 2/1 43/55 2/1 18/23 3/1 47/60 1/0 29/37 9/4 11/14 8/3 26/33 3/1 15/19 13/4 4/5 5/1 13/16 16/3 22/27 7/1 9/11 1/0 14/17 1/3 5/6 1/0 16/19 1/1 11/13 5/2 28/33 3/1 17/20 10/3 6/7 3/1 7/8 8/1 8/9 1/1 1/1 1/0 1/0 1/0 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(131,116,297,263) (-1/1,-7/8) -> (11/25,15/34) Hyperbolic Matrix(65,56,-231,-199) (-7/8,-6/7) -> (-2/7,-7/25) Hyperbolic Matrix(197,168,231,197) (-6/7,-11/13) -> (17/20,6/7) Hyperbolic Matrix(395,332,627,527) (-11/13,-5/6) -> (17/27,29/46) Hyperbolic Matrix(395,326,-561,-463) (-5/6,-14/17) -> (-12/17,-19/27) Hyperbolic Matrix(331,272,-561,-461) (-14/17,-9/11) -> (-13/22,-10/17) Hyperbolic Matrix(67,54,165,133) (-9/11,-4/5) -> (2/5,9/22) Hyperbolic Matrix(131,104,165,131) (-4/5,-11/14) -> (15/19,4/5) Hyperbolic Matrix(199,156,759,595) (-11/14,-18/23) -> (6/23,5/19) Hyperbolic Matrix(1387,1084,-3630,-2837) (-18/23,-25/32) -> (-13/34,-34/89) Hyperbolic Matrix(331,258,594,463) (-25/32,-7/9) -> (5/9,19/34) Hyperbolic Matrix(725,562,-1023,-793) (-7/9,-24/31) -> (-22/31,-17/24) Hyperbolic Matrix(791,612,2046,1583) (-24/31,-17/22) -> (17/44,12/31) Hyperbolic Matrix(197,152,-429,-331) (-17/22,-10/13) -> (-6/13,-5/11) Hyperbolic Matrix(133,102,-429,-329) (-10/13,-13/17) -> (-5/16,-4/13) Hyperbolic Matrix(263,200,693,527) (-13/17,-3/4) -> (11/29,19/50) Hyperbolic Matrix(265,196,-891,-659) (-3/4,-17/23) -> (-3/10,-11/37) Hyperbolic Matrix(263,194,-1254,-925) (-17/23,-14/19) -> (-4/19,-9/43) Hyperbolic Matrix(859,632,2244,1651) (-14/19,-25/34) -> (13/34,18/47) Hyperbolic Matrix(989,726,1617,1187) (-25/34,-11/15) -> (11/18,41/67) Hyperbolic Matrix(263,192,-363,-265) (-11/15,-8/11) -> (-8/11,-13/18) Parabolic Matrix(463,334,-1188,-857) (-13/18,-18/25) -> (-16/41,-7/18) Hyperbolic Matrix(923,664,1650,1187) (-18/25,-23/32) -> (19/34,14/25) Hyperbolic Matrix(1253,900,2112,1517) (-23/32,-28/39) -> (16/27,19/32) Hyperbolic Matrix(1123,806,3036,2179) (-28/39,-5/7) -> (27/73,10/27) Hyperbolic Matrix(197,140,-1023,-727) (-5/7,-27/38) -> (-1/5,-5/26) Hyperbolic Matrix(3565,2532,5577,3961) (-27/38,-22/31) -> (62/97,39/61) Hyperbolic Matrix(65,46,-561,-397) (-17/24,-29/41) -> (-1/8,-1/9) Hyperbolic Matrix(1189,840,1683,1189) (-29/41,-12/17) -> (12/17,41/58) Hyperbolic Matrix(2707,1904,4224,2971) (-19/27,-45/64) -> (41/64,25/39) Hyperbolic Matrix(4291,3016,6105,4291) (-45/64,-26/37) -> (26/37,71/101) Hyperbolic Matrix(265,186,-1221,-857) (-26/37,-7/10) -> (-5/23,-8/37) Hyperbolic Matrix(461,322,660,461) (-7/10,-23/33) -> (23/33,7/10) Hyperbolic Matrix(1057,736,1518,1057) (-23/33,-16/23) -> (16/23,23/33) Hyperbolic Matrix(659,458,1518,1055) (-16/23,-25/36) -> (13/30,10/23) Hyperbolic Matrix(199,138,858,595) (-25/36,-9/13) -> (3/13,7/30) Hyperbolic Matrix(395,272,957,659) (-9/13,-11/16) -> (7/17,19/46) Hyperbolic Matrix(65,44,-99,-67) (-11/16,-2/3) -> (-2/3,-11/17) Parabolic Matrix(593,382,1023,659) (-11/17,-9/14) -> (11/19,29/50) Hyperbolic Matrix(131,84,-825,-529) (-9/14,-25/39) -> (-1/6,-3/19) Hyperbolic Matrix(2971,1904,4224,2707) (-25/39,-41/64) -> (45/64,19/27) Hyperbolic Matrix(2377,1522,3300,2113) (-41/64,-16/25) -> (18/25,49/68) Hyperbolic Matrix(461,294,-726,-463) (-16/25,-7/11) -> (-7/11,-26/41) Parabolic Matrix(3959,2510,6765,4289) (-26/41,-45/71) -> (55/94,24/41) Hyperbolic Matrix(4289,2718,6039,3827) (-45/71,-19/30) -> (49/69,27/38) Hyperbolic Matrix(199,126,627,397) (-19/30,-12/19) -> (6/19,1/3) Hyperbolic Matrix(527,332,627,395) (-12/19,-17/27) -> (5/6,16/19) Hyperbolic Matrix(1783,1122,4092,2575) (-17/27,-39/62) -> (27/62,17/39) Hyperbolic Matrix(2245,1412,7557,4753) (-39/62,-22/35) -> (30/101,11/37) Hyperbolic Matrix(1649,1036,-2838,-1783) (-22/35,-5/8) -> (-43/74,-18/31) Hyperbolic Matrix(199,124,-528,-329) (-5/8,-18/29) -> (-14/37,-3/8) Hyperbolic Matrix(397,246,-957,-593) (-18/29,-13/21) -> (-5/12,-12/29) Hyperbolic Matrix(1057,654,1815,1123) (-13/21,-34/55) -> (32/55,7/12) Hyperbolic Matrix(793,490,-3630,-2243) (-34/55,-21/34) -> (-7/32,-12/55) Hyperbolic Matrix(593,366,2244,1385) (-21/34,-29/47) -> (5/19,9/34) Hyperbolic Matrix(133,82,858,529) (-29/47,-8/13) -> (2/13,3/19) Hyperbolic Matrix(199,122,-429,-263) (-8/13,-19/31) -> (-1/2,-6/13) Hyperbolic Matrix(725,444,2046,1253) (-19/31,-30/49) -> (6/17,11/31) Hyperbolic Matrix(1187,726,1617,989) (-30/49,-11/18) -> (11/15,36/49) Hyperbolic Matrix(331,202,-1188,-725) (-11/18,-14/23) -> (-12/43,-5/18) Hyperbolic Matrix(461,280,759,461) (-14/23,-3/5) -> (17/28,14/23) Hyperbolic Matrix(857,510,1551,923) (-3/5,-19/32) -> (37/67,21/38) Hyperbolic Matrix(1517,900,2112,1253) (-19/32,-16/27) -> (28/39,23/32) Hyperbolic Matrix(595,352,1452,859) (-16/27,-13/22) -> (9/22,16/39) Hyperbolic Matrix(133,78,-561,-329) (-10/17,-17/29) -> (-1/4,-4/17) Hyperbolic Matrix(2377,1392,4059,2377) (-17/29,-24/41) -> (24/41,41/70) Hyperbolic Matrix(3103,1816,4851,2839) (-24/41,-31/53) -> (55/86,16/25) Hyperbolic Matrix(2377,1390,6435,3763) (-31/53,-7/12) -> (41/111,17/46) Hyperbolic Matrix(1123,654,1815,1057) (-7/12,-25/43) -> (47/76,13/21) Hyperbolic Matrix(265,154,2046,1189) (-25/43,-43/74) -> (1/8,3/23) Hyperbolic Matrix(659,382,1023,593) (-18/31,-11/19) -> (9/14,20/31) Hyperbolic Matrix(529,306,1485,859) (-11/19,-26/45) -> (16/45,5/14) Hyperbolic Matrix(329,190,-1716,-991) (-26/45,-15/26) -> (-5/26,-4/21) Hyperbolic Matrix(989,570,1716,989) (-15/26,-19/33) -> (19/33,15/26) Hyperbolic Matrix(265,152,462,265) (-19/33,-4/7) -> (4/7,19/33) Hyperbolic Matrix(67,38,-231,-131) (-4/7,-9/16) -> (-5/17,-2/7) Hyperbolic Matrix(463,260,-1056,-593) (-9/16,-14/25) -> (-18/41,-7/16) Hyperbolic Matrix(1187,664,1650,923) (-14/25,-19/34) -> (23/32,18/25) Hyperbolic Matrix(463,258,594,331) (-19/34,-5/9) -> (7/9,25/32) Hyperbolic Matrix(199,110,957,529) (-5/9,-16/29) -> (6/29,5/24) Hyperbolic Matrix(791,436,1914,1055) (-16/29,-11/20) -> (19/46,12/29) Hyperbolic Matrix(197,108,-363,-199) (-11/20,-6/11) -> (-6/11,-7/13) Parabolic Matrix(2047,1098,3201,1717) (-7/13,-15/28) -> (39/61,55/86) Hyperbolic Matrix(725,388,1848,989) (-15/28,-8/15) -> (20/51,11/28) Hyperbolic Matrix(263,138,627,329) (-8/15,-1/2) -> (13/31,34/81) Hyperbolic Matrix(67,30,297,133) (-5/11,-4/9) -> (2/9,5/22) Hyperbolic Matrix(263,116,297,131) (-4/9,-11/25) -> (7/8,8/9) Hyperbolic Matrix(2443,1074,4356,1915) (-11/25,-29/66) -> (37/66,23/41) Hyperbolic Matrix(2441,1072,4356,1913) (-29/66,-18/41) -> (14/25,37/66) Hyperbolic Matrix(133,58,759,331) (-7/16,-10/23) -> (4/23,3/17) Hyperbolic Matrix(1055,458,1518,659) (-10/23,-13/30) -> (25/36,16/23) Hyperbolic Matrix(463,200,1683,727) (-13/30,-3/7) -> (11/40,19/69) Hyperbolic Matrix(265,112,627,265) (-3/7,-8/19) -> (8/19,11/26) Hyperbolic Matrix(395,166,1254,527) (-8/19,-21/50) -> (5/16,6/19) Hyperbolic Matrix(329,138,627,263) (-21/50,-13/31) -> (1/2,9/17) Hyperbolic Matrix(2111,884,3465,1451) (-13/31,-18/43) -> (14/23,39/64) Hyperbolic Matrix(2839,1188,3630,1519) (-18/43,-23/55) -> (43/55,18/23) Hyperbolic Matrix(4157,1738,10890,4553) (-23/55,-28/67) -> (50/131,21/55) Hyperbolic Matrix(925,386,1584,661) (-28/67,-5/12) -> (7/12,38/65) Hyperbolic Matrix(659,272,957,395) (-12/29,-7/17) -> (11/16,20/29) Hyperbolic Matrix(133,54,165,67) (-7/17,-2/5) -> (4/5,13/16) Hyperbolic Matrix(131,52,330,131) (-2/5,-13/33) -> (13/33,2/5) Hyperbolic Matrix(727,286,1848,727) (-13/33,-11/28) -> (11/28,13/33) Hyperbolic Matrix(989,388,1848,725) (-11/28,-20/51) -> (8/15,15/28) Hyperbolic Matrix(199,78,1518,595) (-20/51,-9/23) -> (3/23,2/15) Hyperbolic Matrix(2707,1058,7095,2773) (-9/23,-25/64) -> (37/97,29/76) Hyperbolic Matrix(2705,1056,4224,1649) (-25/64,-16/41) -> (16/25,41/64) Hyperbolic Matrix(659,256,2376,923) (-7/18,-26/67) -> (18/65,5/18) Hyperbolic Matrix(4289,1664,11055,4289) (-26/67,-19/49) -> (45/116,26/67) Hyperbolic Matrix(1321,512,2046,793) (-19/49,-12/31) -> (20/31,11/17) Hyperbolic Matrix(461,178,1023,395) (-12/31,-5/13) -> (9/20,14/31) Hyperbolic Matrix(725,278,858,329) (-5/13,-18/47) -> (16/19,11/13) Hyperbolic Matrix(1651,632,2244,859) (-18/47,-13/34) -> (25/34,14/19) Hyperbolic Matrix(3037,1160,7260,2773) (-34/89,-21/55) -> (23/55,18/43) Hyperbolic Matrix(131,50,-1386,-529) (-21/55,-29/76) -> (-1/10,-1/11) Hyperbolic Matrix(6731,2568,9339,3563) (-29/76,-8/21) -> (80/111,31/43) Hyperbolic Matrix(527,200,693,263) (-8/21,-11/29) -> (3/4,16/21) Hyperbolic Matrix(2707,1026,4356,1651) (-11/29,-25/66) -> (41/66,23/37) Hyperbolic Matrix(2705,1024,4356,1649) (-25/66,-14/37) -> (18/29,41/66) Hyperbolic Matrix(1187,442,1947,725) (-3/8,-13/35) -> (39/64,25/41) Hyperbolic Matrix(793,294,2673,991) (-13/35,-10/27) -> (8/27,19/64) Hyperbolic Matrix(265,98,-1782,-659) (-10/27,-17/46) -> (-3/20,-4/27) Hyperbolic Matrix(3763,1390,6435,2377) (-17/46,-24/65) -> (38/65,31/53) Hyperbolic Matrix(1187,438,4290,1583) (-24/65,-7/19) -> (13/47,18/65) Hyperbolic Matrix(131,48,-363,-133) (-7/19,-4/11) -> (-4/11,-5/14) Parabolic Matrix(859,306,1485,529) (-5/14,-11/31) -> (37/64,11/19) Hyperbolic Matrix(1253,444,2046,725) (-11/31,-6/17) -> (30/49,19/31) Hyperbolic Matrix(131,46,561,197) (-6/17,-1/3) -> (7/30,4/17) Hyperbolic Matrix(397,126,627,199) (-1/3,-5/16) -> (31/49,19/30) Hyperbolic Matrix(131,40,429,131) (-4/13,-3/10) -> (7/23,4/13) Hyperbolic Matrix(991,294,2673,793) (-11/37,-8/27) -> (10/27,23/62) Hyperbolic Matrix(725,214,891,263) (-8/27,-5/17) -> (13/16,22/27) Hyperbolic Matrix(1783,498,4257,1189) (-7/25,-12/43) -> (18/43,31/74) Hyperbolic Matrix(923,256,2376,659) (-5/18,-18/65) -> (26/67,7/18) Hyperbolic Matrix(1583,438,4290,1187) (-18/65,-13/47) -> (7/19,24/65) Hyperbolic Matrix(463,128,-2145,-593) (-13/47,-8/29) -> (-8/37,-3/14) Hyperbolic Matrix(197,54,-726,-199) (-8/29,-3/11) -> (-3/11,-10/37) Parabolic Matrix(527,142,1221,329) (-10/37,-7/26) -> (3/7,16/37) Hyperbolic Matrix(67,18,495,133) (-7/26,-4/15) -> (2/15,1/7) Hyperbolic Matrix(527,140,990,263) (-4/15,-13/49) -> (9/17,8/15) Hyperbolic Matrix(4423,1172,7227,1915) (-13/49,-9/34) -> (41/67,71/116) Hyperbolic Matrix(1385,366,2244,593) (-9/34,-5/19) -> (29/47,21/34) Hyperbolic Matrix(595,156,759,199) (-5/19,-1/4) -> (29/37,11/14) Hyperbolic Matrix(197,46,561,131) (-4/17,-3/13) -> (7/20,6/17) Hyperbolic Matrix(133,30,297,67) (-3/13,-2/9) -> (4/9,9/20) Hyperbolic Matrix(263,58,594,131) (-2/9,-7/32) -> (15/34,4/9) Hyperbolic Matrix(2111,460,3630,791) (-12/55,-5/23) -> (25/43,32/55) Hyperbolic Matrix(197,42,924,197) (-3/14,-7/33) -> (7/33,3/14) Hyperbolic Matrix(265,56,1254,265) (-7/33,-4/19) -> (4/19,7/33) Hyperbolic Matrix(67,14,-627,-131) (-9/43,-5/24) -> (-1/9,-1/10) Hyperbolic Matrix(529,110,957,199) (-5/24,-1/5) -> (21/38,5/9) Hyperbolic Matrix(527,100,1386,263) (-4/21,-3/16) -> (19/50,8/21) Hyperbolic Matrix(65,12,-363,-67) (-3/16,-2/11) -> (-2/11,-3/17) Parabolic Matrix(331,58,759,133) (-3/17,-1/6) -> (17/39,7/16) Hyperbolic Matrix(529,82,858,133) (-3/19,-2/13) -> (8/13,29/47) Hyperbolic Matrix(131,20,858,131) (-2/13,-5/33) -> (5/33,2/13) Hyperbolic Matrix(199,30,1320,199) (-5/33,-3/20) -> (3/20,5/33) Hyperbolic Matrix(331,48,462,67) (-4/27,-1/7) -> (5/7,28/39) Hyperbolic Matrix(133,18,495,67) (-1/7,-1/8) -> (11/41,7/26) Hyperbolic Matrix(331,28,792,67) (-1/11,0/1) -> (28/67,23/55) Hyperbolic Matrix(529,-50,1386,-131) (0/1,1/10) -> (29/76,50/131) Hyperbolic Matrix(463,-48,627,-65) (1/10,1/9) -> (31/42,17/23) Hyperbolic Matrix(397,-46,561,-65) (1/9,1/8) -> (29/41,17/24) Hyperbolic Matrix(659,-98,1782,-265) (1/7,3/20) -> (17/46,27/73) Hyperbolic Matrix(529,-84,825,-131) (3/19,1/6) -> (25/39,9/14) Hyperbolic Matrix(1189,-206,1518,-263) (1/6,4/23) -> (18/23,47/60) Hyperbolic Matrix(67,-12,363,-65) (3/17,2/11) -> (2/11,3/16) Parabolic Matrix(529,-100,693,-131) (3/16,4/21) -> (16/21,13/17) Hyperbolic Matrix(991,-190,1716,-329) (4/21,1/5) -> (41/71,26/45) Hyperbolic Matrix(197,-40,330,-67) (1/5,6/29) -> (22/37,3/5) Hyperbolic Matrix(925,-194,1254,-263) (5/24,4/19) -> (14/19,31/42) Hyperbolic Matrix(593,-128,2145,-463) (3/14,8/37) -> (8/29,13/47) Hyperbolic Matrix(857,-186,1221,-265) (8/37,5/23) -> (7/10,26/37) Hyperbolic Matrix(2243,-490,3630,-793) (5/23,7/32) -> (21/34,55/89) Hyperbolic Matrix(265,-58,297,-65) (7/32,2/9) -> (8/9,1/1) Hyperbolic Matrix(331,-76,858,-197) (5/22,3/13) -> (5/13,17/44) Hyperbolic Matrix(329,-78,561,-133) (4/17,1/4) -> (17/29,10/17) Hyperbolic Matrix(661,-172,1518,-395) (1/4,6/23) -> (10/23,27/62) Hyperbolic Matrix(3299,-874,4488,-1189) (9/34,13/49) -> (61/83,25/34) Hyperbolic Matrix(1981,-526,4719,-1253) (13/49,4/15) -> (34/81,21/50) Hyperbolic Matrix(1255,-336,3201,-857) (4/15,15/56) -> (9/23,20/51) Hyperbolic Matrix(1387,-372,2211,-593) (15/56,11/41) -> (5/8,27/43) Hyperbolic Matrix(199,-54,726,-197) (7/26,3/11) -> (3/11,11/40) Parabolic Matrix(9701,-2672,13662,-3763) (19/69,27/98) -> (71/100,49/69) Hyperbolic Matrix(2641,-728,4785,-1319) (27/98,8/29) -> (16/29,37/67) Hyperbolic Matrix(725,-202,1188,-331) (5/18,7/25) -> (25/41,11/18) Hyperbolic Matrix(199,-56,231,-65) (7/25,2/7) -> (6/7,7/8) Hyperbolic Matrix(131,-38,231,-67) (2/7,5/17) -> (9/16,4/7) Hyperbolic Matrix(461,-136,1122,-331) (5/17,8/27) -> (16/39,7/17) Hyperbolic Matrix(15377,-4566,24453,-7261) (19/64,49/165) -> (83/132,61/97) Hyperbolic Matrix(12013,-3568,19107,-5675) (49/165,30/101) -> (22/35,83/132) Hyperbolic Matrix(659,-196,891,-265) (11/37,3/10) -> (17/23,3/4) Hyperbolic Matrix(331,-100,1089,-329) (3/10,10/33) -> (10/33,7/23) Parabolic Matrix(329,-102,429,-133) (4/13,5/16) -> (13/17,10/13) Hyperbolic Matrix(527,-184,759,-265) (1/3,7/20) -> (9/13,25/36) Hyperbolic Matrix(1913,-680,5016,-1783) (11/31,16/45) -> (8/21,37/97) Hyperbolic Matrix(133,-48,363,-131) (5/14,4/11) -> (4/11,7/19) Parabolic Matrix(3433,-1268,8217,-3035) (24/65,41/111) -> (5/12,28/67) Hyperbolic Matrix(5147,-1910,8184,-3037) (23/62,13/35) -> (61/97,39/62) Hyperbolic Matrix(1189,-442,2838,-1055) (13/35,3/8) -> (31/74,13/31) Hyperbolic Matrix(329,-124,528,-199) (3/8,11/29) -> (23/37,5/8) Hyperbolic Matrix(2837,-1084,3630,-1387) (21/55,13/34) -> (25/32,43/55) Hyperbolic Matrix(1519,-582,2409,-923) (18/47,5/13) -> (29/46,12/19) Hyperbolic Matrix(1781,-690,3069,-1189) (12/31,19/49) -> (29/50,18/31) Hyperbolic Matrix(10561,-4096,27225,-10559) (19/49,64/165) -> (64/165,45/116) Parabolic Matrix(857,-334,1188,-463) (7/18,9/23) -> (31/43,13/18) Hyperbolic Matrix(593,-246,957,-397) (12/29,5/12) -> (13/21,18/29) Hyperbolic Matrix(1189,-500,1881,-791) (21/50,8/19) -> (12/19,31/49) Hyperbolic Matrix(463,-196,1089,-461) (11/26,14/33) -> (14/33,3/7) Parabolic Matrix(2177,-942,3663,-1585) (16/37,29/67) -> (19/32,22/37) Hyperbolic Matrix(4091,-1772,6402,-2773) (29/67,13/30) -> (23/36,85/133) Hyperbolic Matrix(593,-260,1056,-463) (7/16,11/25) -> (23/41,9/16) Hyperbolic Matrix(791,-358,1023,-463) (14/31,5/11) -> (17/22,24/31) Hyperbolic Matrix(331,-152,429,-197) (5/11,6/13) -> (10/13,17/22) Hyperbolic Matrix(263,-122,429,-199) (6/13,1/2) -> (19/31,8/13) Hyperbolic Matrix(1583,-850,2706,-1453) (15/28,7/13) -> (31/53,55/94) Hyperbolic Matrix(199,-108,363,-197) (7/13,6/11) -> (6/11,11/20) Parabolic Matrix(661,-364,957,-527) (11/20,16/29) -> (20/29,9/13) Hyperbolic Matrix(1057,-610,1485,-857) (15/26,41/71) -> (27/38,5/7) Hyperbolic Matrix(7325,-4234,10164,-5875) (26/45,37/64) -> (49/68,80/111) Hyperbolic Matrix(1783,-1036,2838,-1649) (18/31,25/43) -> (27/43,22/35) Hyperbolic Matrix(5743,-3364,9801,-5741) (41/70,58/99) -> (58/99,17/29) Parabolic Matrix(461,-272,561,-331) (10/17,13/22) -> (9/11,14/17) Hyperbolic Matrix(727,-430,891,-527) (13/22,16/27) -> (22/27,9/11) Hyperbolic Matrix(661,-400,1089,-659) (3/5,20/33) -> (20/33,17/28) Parabolic Matrix(21317,-13048,29007,-17755) (71/116,101/165) -> (97/132,61/83) Hyperbolic Matrix(10693,-6546,14553,-8909) (101/165,30/49) -> (36/49,97/132) Hyperbolic Matrix(5611,-3468,9075,-5609) (55/89,34/55) -> (34/55,47/76) Parabolic Matrix(3697,-2326,4719,-2969) (39/62,17/27) -> (47/60,29/37) Hyperbolic Matrix(463,-294,726,-461) (19/30,7/11) -> (7/11,23/36) Parabolic Matrix(11947,-7636,16830,-10757) (85/133,62/97) -> (22/31,93/131) Hyperbolic Matrix(67,-44,99,-65) (11/17,2/3) -> (2/3,11/16) Parabolic Matrix(19141,-13456,27225,-19139) (71/101,116/165) -> (116/165,45/64) Parabolic Matrix(463,-326,561,-395) (19/27,12/17) -> (14/17,5/6) Hyperbolic Matrix(6931,-4900,9801,-6929) (41/58,70/99) -> (70/99,29/41) Parabolic Matrix(793,-562,1023,-725) (17/24,22/31) -> (24/31,7/9) Hyperbolic Matrix(37885,-26896,53361,-37883) (93/131,164/231) -> (164/231,71/100) Parabolic Matrix(265,-192,363,-263) (13/18,8/11) -> (8/11,11/15) Parabolic Matrix(859,-676,1089,-857) (11/14,26/33) -> (26/33,15/19) Parabolic Matrix(925,-784,1089,-923) (11/13,28/33) -> (28/33,17/20) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,2,0,1) Matrix(131,116,297,263) -> Matrix(2,-1,1,0) Matrix(65,56,-231,-199) -> Matrix(0,-1,1,2) Matrix(197,168,231,197) -> Matrix(4,7,1,2) Matrix(395,332,627,527) -> Matrix(2,-1,1,0) Matrix(395,326,-561,-463) -> Matrix(0,-1,1,0) Matrix(331,272,-561,-461) -> Matrix(0,1,-1,2) Matrix(67,54,165,133) -> Matrix(2,3,1,2) Matrix(131,104,165,131) -> Matrix(4,7,1,2) Matrix(199,156,759,595) -> Matrix(8,3,5,2) Matrix(1387,1084,-3630,-2837) -> Matrix(1,0,4,1) Matrix(331,258,594,463) -> Matrix(1,2,0,1) Matrix(725,562,-1023,-793) -> Matrix(2,-3,-1,2) Matrix(791,612,2046,1583) -> Matrix(3,-14,2,-9) Matrix(197,152,-429,-331) -> Matrix(0,-1,1,2) Matrix(133,102,-429,-329) -> Matrix(2,1,3,2) Matrix(263,200,693,527) -> Matrix(2,-1,1,0) Matrix(265,196,-891,-659) -> Matrix(2,7,1,4) Matrix(263,194,-1254,-925) -> Matrix(1,2,4,9) Matrix(859,632,2244,1651) -> Matrix(1,4,0,1) Matrix(989,726,1617,1187) -> Matrix(6,11,1,2) Matrix(263,192,-363,-265) -> Matrix(2,3,-3,-4) Matrix(463,334,-1188,-857) -> Matrix(1,0,6,1) Matrix(923,664,1650,1187) -> Matrix(3,-2,2,-1) Matrix(1253,900,2112,1517) -> Matrix(5,2,2,1) Matrix(1123,806,3036,2179) -> Matrix(3,4,2,3) Matrix(197,140,-1023,-727) -> Matrix(2,5,3,8) Matrix(3565,2532,5577,3961) -> Matrix(2,-1,1,0) Matrix(65,46,-561,-397) -> Matrix(4,5,3,4) Matrix(1189,840,1683,1189) -> Matrix(14,11,5,4) Matrix(2707,1904,4224,2971) -> Matrix(5,2,2,1) Matrix(4291,3016,6105,4291) -> Matrix(2,-1,1,0) Matrix(265,186,-1221,-857) -> Matrix(0,-1,1,0) Matrix(461,322,660,461) -> Matrix(1,2,0,1) Matrix(1057,736,1518,1057) -> Matrix(1,8,0,1) Matrix(659,458,1518,1055) -> Matrix(3,4,2,3) Matrix(199,138,858,595) -> Matrix(1,2,0,1) Matrix(395,272,957,659) -> Matrix(4,7,1,2) Matrix(65,44,-99,-67) -> Matrix(0,-1,1,2) Matrix(593,382,1023,659) -> Matrix(16,9,7,4) Matrix(131,84,-825,-529) -> Matrix(2,1,-1,0) Matrix(2971,1904,4224,2707) -> Matrix(5,2,2,1) Matrix(2377,1522,3300,2113) -> Matrix(9,2,4,1) Matrix(461,294,-726,-463) -> Matrix(1,0,2,1) Matrix(3959,2510,6765,4289) -> Matrix(8,-11,3,-4) Matrix(4289,2718,6039,3827) -> Matrix(4,-1,1,0) Matrix(199,126,627,397) -> Matrix(2,3,1,2) Matrix(527,332,627,395) -> Matrix(2,-1,1,0) Matrix(1783,1122,4092,2575) -> Matrix(3,-8,2,-5) Matrix(2245,1412,7557,4753) -> Matrix(0,1,-1,6) Matrix(1649,1036,-2838,-1783) -> Matrix(1,2,-2,-3) Matrix(199,124,-528,-329) -> Matrix(1,0,4,1) Matrix(397,246,-957,-593) -> Matrix(0,-1,1,0) Matrix(1057,654,1815,1123) -> Matrix(2,-5,1,-2) Matrix(793,490,-3630,-2243) -> Matrix(1,0,2,1) Matrix(593,366,2244,1385) -> Matrix(7,-2,4,-1) Matrix(133,82,858,529) -> Matrix(1,2,0,1) Matrix(199,122,-429,-263) -> Matrix(0,-1,1,0) Matrix(725,444,2046,1253) -> Matrix(1,0,0,1) Matrix(1187,726,1617,989) -> Matrix(4,15,1,4) Matrix(331,202,-1188,-725) -> Matrix(1,2,0,1) Matrix(461,280,759,461) -> Matrix(10,13,3,4) Matrix(857,510,1551,923) -> Matrix(0,-1,1,0) Matrix(1517,900,2112,1253) -> Matrix(5,2,2,1) Matrix(595,352,1452,859) -> Matrix(13,2,6,1) Matrix(133,78,-561,-329) -> Matrix(2,3,1,2) Matrix(2377,1392,4059,2377) -> Matrix(26,23,9,8) Matrix(3103,1816,4851,2839) -> Matrix(14,11,5,4) Matrix(2377,1390,6435,3763) -> Matrix(2,3,1,2) Matrix(1123,654,1815,1057) -> Matrix(0,-1,1,0) Matrix(265,154,2046,1189) -> Matrix(3,4,2,3) Matrix(659,382,1023,593) -> Matrix(18,5,7,2) Matrix(529,306,1485,859) -> Matrix(4,1,-1,0) Matrix(329,190,-1716,-991) -> Matrix(11,2,16,3) Matrix(989,570,1716,989) -> Matrix(33,2,16,1) Matrix(265,152,462,265) -> Matrix(3,-2,2,-1) Matrix(67,38,-231,-131) -> Matrix(0,-1,1,0) Matrix(463,260,-1056,-593) -> Matrix(1,0,8,1) Matrix(1187,664,1650,923) -> Matrix(3,-2,2,-1) Matrix(463,258,594,331) -> Matrix(1,2,0,1) Matrix(199,110,957,529) -> Matrix(2,3,1,2) Matrix(791,436,1914,1055) -> Matrix(1,4,0,1) Matrix(197,108,-363,-199) -> Matrix(0,-1,1,2) Matrix(2047,1098,3201,1717) -> Matrix(18,5,7,2) Matrix(725,388,1848,989) -> Matrix(11,-2,6,-1) Matrix(263,138,627,329) -> Matrix(0,-1,1,0) Matrix(67,30,297,133) -> Matrix(4,-1,1,0) Matrix(263,116,297,131) -> Matrix(2,-1,1,0) Matrix(2443,1074,4356,1915) -> Matrix(41,2,20,1) Matrix(2441,1072,4356,1913) -> Matrix(43,-2,22,-1) Matrix(133,58,759,331) -> Matrix(2,-1,5,-2) Matrix(1055,458,1518,659) -> Matrix(7,-4,2,-1) Matrix(463,200,1683,727) -> Matrix(12,-5,5,-2) Matrix(265,112,627,265) -> Matrix(0,1,-1,2) Matrix(395,166,1254,527) -> Matrix(3,-8,2,-5) Matrix(329,138,627,263) -> Matrix(2,-5,1,-2) Matrix(2111,884,3465,1451) -> Matrix(4,7,1,2) Matrix(2839,1188,3630,1519) -> Matrix(5,2,2,1) Matrix(4157,1738,10890,4553) -> Matrix(7,-2,4,-1) Matrix(925,386,1584,661) -> Matrix(5,-8,2,-3) Matrix(659,272,957,395) -> Matrix(4,7,1,2) Matrix(133,54,165,67) -> Matrix(4,-1,1,0) Matrix(131,52,330,131) -> Matrix(5,2,2,1) Matrix(727,286,1848,727) -> Matrix(47,-2,24,-1) Matrix(989,388,1848,725) -> Matrix(11,-2,6,-1) Matrix(199,78,1518,595) -> Matrix(29,-4,22,-3) Matrix(2707,1058,7095,2773) -> Matrix(10,-3,7,-2) Matrix(2705,1056,4224,1649) -> Matrix(3,-2,2,-1) Matrix(659,256,2376,923) -> Matrix(15,-4,4,-1) Matrix(4289,1664,11055,4289) -> Matrix(176,-57,105,-34) Matrix(1321,512,2046,793) -> Matrix(39,-14,14,-5) Matrix(461,178,1023,395) -> Matrix(12,-7,7,-4) Matrix(725,278,858,329) -> Matrix(1,2,0,1) Matrix(1651,632,2244,859) -> Matrix(1,4,0,1) Matrix(3037,1160,7260,2773) -> Matrix(3,-2,2,-1) Matrix(131,50,-1386,-529) -> Matrix(1,0,-2,1) Matrix(6731,2568,9339,3563) -> Matrix(12,-5,5,-2) Matrix(527,200,693,263) -> Matrix(2,-1,1,0) Matrix(2707,1026,4356,1651) -> Matrix(17,2,8,1) Matrix(2705,1024,4356,1649) -> Matrix(19,-2,10,-1) Matrix(1187,442,1947,725) -> Matrix(10,-7,3,-2) Matrix(793,294,2673,991) -> Matrix(2,-1,-3,2) Matrix(265,98,-1782,-659) -> Matrix(3,-2,8,-5) Matrix(3763,1390,6435,2377) -> Matrix(4,-1,1,0) Matrix(1187,438,4290,1583) -> Matrix(1,2,0,1) Matrix(131,48,-363,-133) -> Matrix(4,-3,3,-2) Matrix(859,306,1485,529) -> Matrix(2,-13,1,-6) Matrix(1253,444,2046,725) -> Matrix(1,0,0,1) Matrix(131,46,561,197) -> Matrix(0,-1,1,0) Matrix(397,126,627,199) -> Matrix(4,-1,1,0) Matrix(131,40,429,131) -> Matrix(8,-7,7,-6) Matrix(991,294,2673,793) -> Matrix(4,-11,3,-8) Matrix(725,214,891,263) -> Matrix(6,-13,1,-2) Matrix(1783,498,4257,1189) -> Matrix(4,-1,1,0) Matrix(923,256,2376,659) -> Matrix(7,12,4,7) Matrix(1583,438,4290,1187) -> Matrix(1,2,0,1) Matrix(463,128,-2145,-593) -> Matrix(2,1,-1,0) Matrix(197,54,-726,-199) -> Matrix(1,0,6,1) Matrix(527,142,1221,329) -> Matrix(10,-3,7,-2) Matrix(67,18,495,133) -> Matrix(10,-3,7,-2) Matrix(527,140,990,263) -> Matrix(5,2,2,1) Matrix(4423,1172,7227,1915) -> Matrix(14,-1,1,0) Matrix(1385,366,2244,593) -> Matrix(7,-2,4,-1) Matrix(595,156,759,199) -> Matrix(12,-5,5,-2) Matrix(197,46,561,131) -> Matrix(2,-5,1,-2) Matrix(133,30,297,67) -> Matrix(2,3,1,2) Matrix(263,58,594,131) -> Matrix(1,2,0,1) Matrix(2111,460,3630,791) -> Matrix(5,2,2,1) Matrix(197,42,924,197) -> Matrix(9,2,4,1) Matrix(265,56,1254,265) -> Matrix(19,-2,10,-1) Matrix(67,14,-627,-131) -> Matrix(4,-1,1,0) Matrix(529,110,957,199) -> Matrix(4,-1,1,0) Matrix(527,100,1386,263) -> Matrix(5,-4,4,-3) Matrix(65,12,-363,-67) -> Matrix(8,-7,7,-6) Matrix(331,58,759,133) -> Matrix(8,-13,5,-8) Matrix(529,82,858,133) -> Matrix(1,2,0,1) Matrix(131,20,858,131) -> Matrix(5,2,2,1) Matrix(199,30,1320,199) -> Matrix(15,-2,8,-1) Matrix(331,48,462,67) -> Matrix(3,-2,2,-1) Matrix(133,18,495,67) -> Matrix(12,-7,7,-4) Matrix(331,28,792,67) -> Matrix(3,-2,2,-1) Matrix(529,-50,1386,-131) -> Matrix(3,-8,2,-5) Matrix(463,-48,627,-65) -> Matrix(4,-9,1,-2) Matrix(397,-46,561,-65) -> Matrix(10,-7,3,-2) Matrix(659,-98,1782,-265) -> Matrix(11,-18,8,-13) Matrix(529,-84,825,-131) -> Matrix(2,-9,1,-4) Matrix(1189,-206,1518,-263) -> Matrix(1,2,0,1) Matrix(67,-12,363,-65) -> Matrix(8,-7,7,-6) Matrix(529,-100,693,-131) -> Matrix(2,-3,3,-4) Matrix(991,-190,1716,-329) -> Matrix(35,-46,16,-21) Matrix(197,-40,330,-67) -> Matrix(9,-16,4,-7) Matrix(925,-194,1254,-263) -> Matrix(17,-30,4,-7) Matrix(593,-128,2145,-463) -> Matrix(2,-9,1,-4) Matrix(857,-186,1221,-265) -> Matrix(2,-5,1,-2) Matrix(2243,-490,3630,-793) -> Matrix(5,-8,2,-3) Matrix(265,-58,297,-65) -> Matrix(2,-5,1,-2) Matrix(331,-76,858,-197) -> Matrix(3,-2,2,-1) Matrix(329,-78,561,-133) -> Matrix(4,-1,1,0) Matrix(661,-172,1518,-395) -> Matrix(1,0,0,1) Matrix(3299,-874,4488,-1189) -> Matrix(33,-62,8,-15) Matrix(1981,-526,4719,-1253) -> Matrix(2,-5,1,-2) Matrix(1255,-336,3201,-857) -> Matrix(32,-49,17,-26) Matrix(1387,-372,2211,-593) -> Matrix(18,-29,5,-8) Matrix(199,-54,726,-197) -> Matrix(13,-24,6,-11) Matrix(9701,-2672,13662,-3763) -> Matrix(7,-18,2,-5) Matrix(2641,-728,4785,-1319) -> Matrix(4,-9,1,-2) Matrix(725,-202,1188,-331) -> Matrix(1,2,0,1) Matrix(199,-56,231,-65) -> Matrix(4,-9,1,-2) Matrix(131,-38,231,-67) -> Matrix(2,-5,1,-2) Matrix(461,-136,1122,-331) -> Matrix(5,2,2,1) Matrix(15377,-4566,24453,-7261) -> Matrix(12,1,-1,0) Matrix(12013,-3568,19107,-5675) -> Matrix(18,-1,1,0) Matrix(659,-196,891,-265) -> Matrix(6,-1,1,0) Matrix(331,-100,1089,-329) -> Matrix(14,-13,13,-12) Matrix(329,-102,429,-133) -> Matrix(8,-11,3,-4) Matrix(527,-184,759,-265) -> Matrix(4,-9,1,-2) Matrix(1913,-680,5016,-1783) -> Matrix(3,-2,2,-1) Matrix(133,-48,363,-131) -> Matrix(4,-3,3,-2) Matrix(3433,-1268,8217,-3035) -> Matrix(2,-3,3,-4) Matrix(5147,-1910,8184,-3037) -> Matrix(11,-16,-2,3) Matrix(1189,-442,2838,-1055) -> Matrix(5,-8,2,-3) Matrix(329,-124,528,-199) -> Matrix(9,-16,4,-7) Matrix(2837,-1084,3630,-1387) -> Matrix(9,-16,4,-7) Matrix(1519,-582,2409,-923) -> Matrix(2,-5,1,-2) Matrix(1781,-690,3069,-1189) -> Matrix(50,-81,21,-34) Matrix(10561,-4096,27225,-10559) -> Matrix(436,-725,261,-434) Matrix(857,-334,1188,-463) -> Matrix(13,-24,6,-11) Matrix(593,-246,957,-397) -> Matrix(2,-5,1,-2) Matrix(1189,-500,1881,-791) -> Matrix(2,-1,1,0) Matrix(463,-196,1089,-461) -> Matrix(6,-5,5,-4) Matrix(2177,-942,3663,-1585) -> Matrix(8,-11,3,-4) Matrix(4091,-1772,6402,-2773) -> Matrix(9,-16,4,-7) Matrix(593,-260,1056,-463) -> Matrix(17,-32,8,-15) Matrix(791,-358,1023,-463) -> Matrix(6,-11,-1,2) Matrix(331,-152,429,-197) -> Matrix(4,-9,1,-2) Matrix(263,-122,429,-199) -> Matrix(2,-5,1,-2) Matrix(1583,-850,2706,-1453) -> Matrix(21,-50,8,-19) Matrix(199,-108,363,-197) -> Matrix(4,-9,1,-2) Matrix(661,-364,957,-527) -> Matrix(4,-9,1,-2) Matrix(1057,-610,1485,-857) -> Matrix(10,-21,1,-2) Matrix(7325,-4234,10164,-5875) -> Matrix(3,-8,2,-5) Matrix(1783,-1036,2838,-1649) -> Matrix(7,-18,2,-5) Matrix(5743,-3364,9801,-5741) -> Matrix(52,-153,17,-50) Matrix(461,-272,561,-331) -> Matrix(0,1,-1,2) Matrix(727,-430,891,-527) -> Matrix(10,-21,1,-2) Matrix(661,-400,1089,-659) -> Matrix(22,-63,7,-20) Matrix(21317,-13048,29007,-17755) -> Matrix(4,-153,1,-38) Matrix(10693,-6546,14553,-8909) -> Matrix(4,63,1,16) Matrix(5611,-3468,9075,-5609) -> Matrix(4,-9,1,-2) Matrix(3697,-2326,4719,-2969) -> Matrix(2,-5,1,-2) Matrix(463,-294,726,-461) -> Matrix(5,-8,2,-3) Matrix(11947,-7636,16830,-10757) -> Matrix(7,-18,2,-5) Matrix(67,-44,99,-65) -> Matrix(4,-9,1,-2) Matrix(19141,-13456,27225,-19139) -> Matrix(2,-1,1,0) Matrix(463,-326,561,-395) -> Matrix(2,-5,1,-2) Matrix(6931,-4900,9801,-6929) -> Matrix(76,-225,25,-74) Matrix(793,-562,1023,-725) -> Matrix(0,1,-1,4) Matrix(37885,-26896,53361,-37883) -> Matrix(4,-9,1,-2) Matrix(265,-192,363,-263) -> Matrix(10,-27,3,-8) Matrix(859,-676,1089,-857) -> Matrix(22,-63,7,-20) Matrix(925,-784,1089,-923) -> Matrix(16,-45,5,-14) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 160 ----------------------------------------------------------------------- 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 0/1 1/1 1 33 1/10 0/1 1 33 1/9 0/1 1 11 1/8 8/7 1 33 1/7 3/2 1 33 3/20 2/1 1 33 5/33 2/1 5 1 2/13 3/1 1 33 3/19 1/0 1 33 1/6 1/0 1 11 3/17 5/8 1 33 2/11 1/1 7 3 3/16 16/13 1 33 4/21 1/1 1 11 1/5 3/2 1 33 5/24 3/2 1 11 4/19 9/5 1 33 7/33 2/1 7 1 3/14 2/1 1 33 8/37 1/1 1 33 5/23 1/0 1 33 7/32 2/1 1 33 2/9 3/1 1 11 3/13 1/0 1 33 4/17 1/5 1 33 1/4 4/3 1 33 5/19 7/4 1 33 9/34 2/1 1 33 13/49 17/8 1 33 4/15 1/1 1 11 15/56 8/5 1 33 11/41 23/14 1 33 7/26 2/1 1 33 3/11 2/1 3 3 11/40 2/1 1 33 8/29 7/3 1 33 13/47 5/2 1 33 18/65 3/1 1 33 5/18 1/0 1 11 7/25 7/4 1 33 2/7 3/1 1 33 5/17 -3/2 1 33 8/27 1/1 1 11 11/37 1/2 1 33 3/10 2/3 1 33 10/33 1/1 13 1 4/13 1/1 1 33 5/16 16/11 1 33 1/3 2/1 1 11 7/20 2/1 1 33 6/17 7/1 1 33 11/31 1/0 1 33 5/14 0/1 1 33 4/11 1/1 3 3 7/19 3/2 1 33 24/65 1/1 1 33 17/46 4/3 1 33 27/73 3/2 1 33 10/27 7/5 1 11 23/62 10/7 1 33 13/35 3/2 1 33 3/8 8/5 1 33 11/29 5/2 1 33 8/21 1/1 1 11 29/76 8/5 1 33 50/131 5/3 1 33 21/55 2/1 1 3 13/34 2/1 1 33 18/47 3/1 1 33 5/13 3/2 1 33 12/31 11/7 1 33 19/49 43/26 1 33 64/165 5/3 29 1 26/67 5/3 1 33 7/18 7/4 1 11 9/23 11/6 1 33 20/51 17/9 1 11 11/28 2/1 1 33 13/33 2/1 13 1 2/5 3/1 1 33 7/17 11/4 1 33 12/29 5/1 1 33 5/12 1/0 1 11 28/67 1/1 1 33 23/55 2/1 1 3 18/43 3/1 1 33 13/31 1/0 1 33 21/50 -6/1 1 33 8/19 1/1 1 33 14/33 1/1 5 1 3/7 3/2 1 33 16/37 1/1 1 33 29/67 3/2 1 33 13/30 3/2 1 11 10/23 5/3 1 33 17/39 8/5 1 11 7/16 16/9 1 33 11/25 13/6 1 33 4/9 1/1 1 11 9/20 2/1 1 33 14/31 13/7 1 33 5/11 2/1 5 3 6/13 3/1 1 33 1/2 2/1 1 33 9/17 11/6 1 33 8/15 7/3 1 11 15/28 2/1 1 33 7/13 5/2 1 33 6/11 3/1 1 3 11/20 2/1 1 33 16/29 1/1 1 33 21/38 2/1 1 33 5/9 2/1 1 11 19/34 2/1 1 33 14/25 13/7 1 33 37/66 2/1 21 1 23/41 29/14 1 33 9/16 16/7 1 33 4/7 1/1 1 33 19/33 2/1 9 1 15/26 2/1 1 33 41/71 13/6 1 33 26/45 11/5 1 11 37/64 2/1 1 33 11/19 9/4 1 33 18/31 17/7 1 33 25/43 5/2 1 33 7/12 5/2 1 11 38/65 3/1 1 33 31/53 5/2 1 33 24/41 25/9 1 33 58/99 3/1 17 1 17/29 13/4 1 33 10/17 -1/1 1 33 13/22 2/1 5 3 16/27 7/3 1 11 19/32 2/1 1 33 22/37 3/1 1 33 3/5 5/2 1 33 20/33 3/1 7 1 14/23 3/1 1 33 39/64 4/1 1 33 25/41 15/4 1 33 11/18 1/0 1 11 30/49 -5/1 1 33 19/31 1/0 1 33 8/13 1/1 1 33 29/47 1/0 1 33 21/34 2/1 1 33 55/89 5/2 1 33 34/55 3/1 1 3 47/76 2/1 1 33 13/21 2/1 1 11 18/29 5/3 1 33 41/66 2/1 9 1 23/37 13/6 1 33 5/8 8/3 1 33 27/43 1/0 1 33 22/35 7/1 1 33 83/132 1/0 15 1 61/97 1/0 1 33 39/62 -2/1 1 33 17/27 2/1 1 11 12/19 1/1 1 33 31/49 13/6 1 33 19/30 1/0 1 11 7/11 2/1 1 3 23/36 5/2 1 11 39/61 5/2 1 33 55/86 8/3 1 33 16/25 1/1 1 33 41/64 2/1 1 33 25/39 2/1 1 11 9/14 2/1 1 33 20/31 19/7 1 33 11/17 13/4 1 33 2/3 3/1 1 11 11/16 16/5 1 33 20/29 5/1 1 33 9/13 1/0 1 33 25/36 1/0 1 11 16/23 5/1 1 33 23/33 1/0 3 1 7/10 2/1 1 33 26/37 3/1 1 33 116/165 1/1 1 1 45/64 2/1 1 33 19/27 2/1 1 11 12/17 13/5 1 33 70/99 3/1 25 1 29/41 31/10 1 33 17/24 7/2 1 11 22/31 3/1 1 33 164/231 3/1 1 1 71/100 4/1 1 33 49/69 4/1 1 11 27/38 4/1 1 33 5/7 1/0 1 33 28/39 1/1 1 11 23/32 2/1 1 33 18/25 11/5 1 33 49/68 2/1 1 33 80/111 7/3 1 11 31/43 1/0 1 33 13/18 5/2 1 11 8/11 3/1 3 3 11/15 4/1 1 11 36/49 43/11 1 33 97/132 4/1 27 1 61/83 65/16 1 33 25/34 4/1 1 33 14/19 3/1 1 33 31/42 9/2 1 11 17/23 9/2 1 33 3/4 4/1 1 33 16/21 1/1 1 11 13/17 7/4 1 33 10/13 3/1 1 33 17/22 1/0 5 3 24/31 1/1 1 33 7/9 2/1 1 11 25/32 2/1 1 33 43/55 2/1 1 3 18/23 3/1 1 33 47/60 1/0 1 11 29/37 9/4 1 33 11/14 8/3 1 33 26/33 3/1 7 1 4/5 5/1 1 33 13/16 16/3 1 33 22/27 7/1 1 11 9/11 1/0 5 3 14/17 1/3 1 33 5/6 1/0 1 11 16/19 1/1 1 33 11/13 5/2 1 33 28/33 3/1 5 1 6/7 3/1 1 33 7/8 8/1 1 33 8/9 1/1 1 11 1/1 1/0 1 33 1/0 1/0 1 1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(529,-50,1386,-131) (0/1,1/10) -> (29/76,50/131) Hyperbolic Matrix(463,-48,627,-65) (1/10,1/9) -> (31/42,17/23) Hyperbolic Matrix(397,-46,561,-65) (1/9,1/8) -> (29/41,17/24) Hyperbolic Matrix(133,-18,495,-67) (1/8,1/7) -> (11/41,7/26) Glide Reflection Matrix(659,-98,1782,-265) (1/7,3/20) -> (17/46,27/73) Hyperbolic Matrix(199,-30,1320,-199) (3/20,5/33) -> (3/20,5/33) Reflection Matrix(131,-20,858,-131) (5/33,2/13) -> (5/33,2/13) Reflection Matrix(529,-82,858,-133) (2/13,3/19) -> (8/13,29/47) Glide Reflection Matrix(529,-84,825,-131) (3/19,1/6) -> (25/39,9/14) Hyperbolic Matrix(331,-58,759,-133) (1/6,3/17) -> (17/39,7/16) Glide Reflection Matrix(67,-12,363,-65) (3/17,2/11) -> (2/11,3/16) Parabolic Matrix(529,-100,693,-131) (3/16,4/21) -> (16/21,13/17) Hyperbolic Matrix(991,-190,1716,-329) (4/21,1/5) -> (41/71,26/45) Hyperbolic Matrix(529,-110,957,-199) (1/5,5/24) -> (21/38,5/9) Glide Reflection Matrix(925,-194,1254,-263) (5/24,4/19) -> (14/19,31/42) Hyperbolic Matrix(265,-56,1254,-265) (4/19,7/33) -> (4/19,7/33) Reflection Matrix(197,-42,924,-197) (7/33,3/14) -> (7/33,3/14) Reflection Matrix(593,-128,2145,-463) (3/14,8/37) -> (8/29,13/47) Hyperbolic Matrix(857,-186,1221,-265) (8/37,5/23) -> (7/10,26/37) Hyperbolic Matrix(2243,-490,3630,-793) (5/23,7/32) -> (21/34,55/89) Hyperbolic Matrix(265,-58,297,-65) (7/32,2/9) -> (8/9,1/1) Hyperbolic Matrix(133,-30,297,-67) (2/9,3/13) -> (4/9,9/20) Glide Reflection Matrix(197,-46,561,-131) (3/13,4/17) -> (7/20,6/17) Glide Reflection Matrix(329,-78,561,-133) (4/17,1/4) -> (17/29,10/17) Hyperbolic Matrix(595,-156,759,-199) (1/4,5/19) -> (29/37,11/14) Glide Reflection Matrix(1385,-366,2244,-593) (5/19,9/34) -> (29/47,21/34) Glide Reflection Matrix(3299,-874,4488,-1189) (9/34,13/49) -> (61/83,25/34) Hyperbolic Matrix(527,-140,990,-263) (13/49,4/15) -> (9/17,8/15) Glide Reflection Matrix(1255,-336,3201,-857) (4/15,15/56) -> (9/23,20/51) Hyperbolic Matrix(1387,-372,2211,-593) (15/56,11/41) -> (5/8,27/43) Hyperbolic Matrix(199,-54,726,-197) (7/26,3/11) -> (3/11,11/40) Parabolic Matrix(727,-200,1683,-463) (11/40,8/29) -> (3/7,16/37) Glide Reflection Matrix(1583,-438,4290,-1187) (13/47,18/65) -> (7/19,24/65) Glide Reflection Matrix(923,-256,2376,-659) (18/65,5/18) -> (26/67,7/18) Glide Reflection Matrix(725,-202,1188,-331) (5/18,7/25) -> (25/41,11/18) Hyperbolic Matrix(199,-56,231,-65) (7/25,2/7) -> (6/7,7/8) Hyperbolic Matrix(131,-38,231,-67) (2/7,5/17) -> (9/16,4/7) Hyperbolic Matrix(725,-214,891,-263) (5/17,8/27) -> (13/16,22/27) Glide Reflection Matrix(991,-294,2673,-793) (8/27,11/37) -> (10/27,23/62) Glide Reflection Matrix(659,-196,891,-265) (11/37,3/10) -> (17/23,3/4) Hyperbolic Matrix(199,-60,660,-199) (3/10,10/33) -> (3/10,10/33) Reflection Matrix(131,-40,429,-131) (10/33,4/13) -> (10/33,4/13) Reflection Matrix(329,-102,429,-133) (4/13,5/16) -> (13/17,10/13) Hyperbolic Matrix(397,-126,627,-199) (5/16,1/3) -> (31/49,19/30) Glide Reflection Matrix(527,-184,759,-265) (1/3,7/20) -> (9/13,25/36) Hyperbolic Matrix(1253,-444,2046,-725) (6/17,11/31) -> (30/49,19/31) Glide Reflection Matrix(859,-306,1485,-529) (11/31,5/14) -> (37/64,11/19) Glide Reflection Matrix(133,-48,363,-131) (5/14,4/11) -> (4/11,7/19) Parabolic Matrix(3763,-1390,6435,-2377) (24/65,17/46) -> (38/65,31/53) Glide Reflection Matrix(2179,-806,3036,-1123) (27/73,10/27) -> (5/7,28/39) Glide Reflection Matrix(5147,-1910,8184,-3037) (23/62,13/35) -> (61/97,39/62) Hyperbolic Matrix(1187,-442,1947,-725) (13/35,3/8) -> (39/64,25/41) Glide Reflection Matrix(329,-124,528,-199) (3/8,11/29) -> (23/37,5/8) Hyperbolic Matrix(527,-200,693,-263) (11/29,8/21) -> (3/4,16/21) Glide Reflection Matrix(6731,-2568,9339,-3563) (8/21,29/76) -> (80/111,31/43) Glide Reflection Matrix(4553,-1738,10890,-4157) (50/131,21/55) -> (28/67,23/55) Glide Reflection Matrix(2837,-1084,3630,-1387) (21/55,13/34) -> (25/32,43/55) Hyperbolic Matrix(1651,-632,2244,-859) (13/34,18/47) -> (25/34,14/19) Glide Reflection Matrix(725,-278,858,-329) (18/47,5/13) -> (16/19,11/13) Glide Reflection Matrix(461,-178,1023,-395) (5/13,12/31) -> (9/20,14/31) Glide Reflection Matrix(1321,-512,2046,-793) (12/31,19/49) -> (20/31,11/17) Glide Reflection Matrix(6271,-2432,16170,-6271) (19/49,64/165) -> (19/49,64/165) Reflection Matrix(4289,-1664,11055,-4289) (64/165,26/67) -> (64/165,26/67) Reflection Matrix(857,-334,1188,-463) (7/18,9/23) -> (31/43,13/18) Hyperbolic Matrix(989,-388,1848,-725) (20/51,11/28) -> (8/15,15/28) Glide Reflection Matrix(727,-286,1848,-727) (11/28,13/33) -> (11/28,13/33) Reflection Matrix(131,-52,330,-131) (13/33,2/5) -> (13/33,2/5) Reflection Matrix(133,-54,165,-67) (2/5,7/17) -> (4/5,13/16) Glide Reflection Matrix(659,-272,957,-395) (7/17,12/29) -> (11/16,20/29) Glide Reflection Matrix(593,-246,957,-397) (12/29,5/12) -> (13/21,18/29) Hyperbolic Matrix(925,-386,1584,-661) (5/12,28/67) -> (7/12,38/65) Glide Reflection Matrix(2839,-1188,3630,-1519) (23/55,18/43) -> (43/55,18/23) Glide Reflection Matrix(2111,-884,3465,-1451) (18/43,13/31) -> (14/23,39/64) Glide Reflection Matrix(329,-138,627,-263) (13/31,21/50) -> (1/2,9/17) Glide Reflection Matrix(1189,-500,1881,-791) (21/50,8/19) -> (12/19,31/49) Hyperbolic Matrix(265,-112,627,-265) (8/19,14/33) -> (8/19,14/33) Reflection Matrix(197,-84,462,-197) (14/33,3/7) -> (14/33,3/7) Reflection Matrix(2177,-942,3663,-1585) (16/37,29/67) -> (19/32,22/37) Hyperbolic Matrix(5413,-2344,7623,-3301) (29/67,13/30) -> (71/100,49/69) Glide Reflection Matrix(1055,-458,1518,-659) (13/30,10/23) -> (25/36,16/23) Glide Reflection Matrix(1783,-776,2277,-991) (10/23,17/39) -> (18/23,47/60) Glide Reflection Matrix(593,-260,1056,-463) (7/16,11/25) -> (23/41,9/16) Hyperbolic Matrix(263,-116,297,-131) (11/25,4/9) -> (7/8,8/9) Glide Reflection Matrix(791,-358,1023,-463) (14/31,5/11) -> (17/22,24/31) Hyperbolic Matrix(331,-152,429,-197) (5/11,6/13) -> (10/13,17/22) Hyperbolic Matrix(263,-122,429,-199) (6/13,1/2) -> (19/31,8/13) Hyperbolic Matrix(2047,-1098,3201,-1717) (15/28,7/13) -> (39/61,55/86) Glide Reflection Matrix(199,-108,363,-197) (7/13,6/11) -> (6/11,11/20) Parabolic Matrix(661,-364,957,-527) (11/20,16/29) -> (20/29,9/13) Hyperbolic Matrix(923,-510,1551,-857) (16/29,21/38) -> (22/37,3/5) Glide Reflection Matrix(463,-258,594,-331) (5/9,19/34) -> (7/9,25/32) Glide Reflection Matrix(1187,-664,1650,-923) (19/34,14/25) -> (23/32,18/25) Glide Reflection Matrix(1849,-1036,3300,-1849) (14/25,37/66) -> (14/25,37/66) Reflection Matrix(3035,-1702,5412,-3035) (37/66,23/41) -> (37/66,23/41) Reflection Matrix(265,-152,462,-265) (4/7,19/33) -> (4/7,19/33) Reflection Matrix(989,-570,1716,-989) (19/33,15/26) -> (19/33,15/26) Reflection Matrix(1057,-610,1485,-857) (15/26,41/71) -> (27/38,5/7) Hyperbolic Matrix(7325,-4234,10164,-5875) (26/45,37/64) -> (49/68,80/111) Hyperbolic Matrix(659,-382,1023,-593) (11/19,18/31) -> (9/14,20/31) Glide Reflection Matrix(1783,-1036,2838,-1649) (18/31,25/43) -> (27/43,22/35) Hyperbolic Matrix(1123,-654,1815,-1057) (25/43,7/12) -> (47/76,13/21) Glide Reflection Matrix(3103,-1816,4851,-2839) (31/53,24/41) -> (55/86,16/25) Glide Reflection Matrix(2377,-1392,4059,-2377) (24/41,58/99) -> (24/41,58/99) Reflection Matrix(3365,-1972,5742,-3365) (58/99,17/29) -> (58/99,17/29) Reflection Matrix(461,-272,561,-331) (10/17,13/22) -> (9/11,14/17) Hyperbolic Matrix(727,-430,891,-527) (13/22,16/27) -> (22/27,9/11) Hyperbolic Matrix(1517,-900,2112,-1253) (16/27,19/32) -> (28/39,23/32) Glide Reflection Matrix(199,-120,330,-199) (3/5,20/33) -> (3/5,20/33) Reflection Matrix(461,-280,759,-461) (20/33,14/23) -> (20/33,14/23) Reflection Matrix(1187,-726,1617,-989) (11/18,30/49) -> (11/15,36/49) Glide Reflection Matrix(5611,-3468,9075,-5609) (55/89,34/55) -> (34/55,47/76) Parabolic Matrix(2377,-1476,3828,-2377) (18/29,41/66) -> (18/29,41/66) Reflection Matrix(3035,-1886,4884,-3035) (41/66,23/37) -> (41/66,23/37) Reflection Matrix(5809,-3652,9240,-5809) (22/35,83/132) -> (22/35,83/132) Reflection Matrix(16103,-10126,25608,-16103) (83/132,61/97) -> (83/132,61/97) Reflection Matrix(3697,-2326,4719,-2969) (39/62,17/27) -> (47/60,29/37) Hyperbolic Matrix(527,-332,627,-395) (17/27,12/19) -> (5/6,16/19) Glide Reflection Matrix(463,-294,726,-461) (19/30,7/11) -> (7/11,23/36) Parabolic Matrix(3961,-2532,5577,-3565) (23/36,39/61) -> (49/69,27/38) Glide Reflection Matrix(2377,-1522,3300,-2113) (16/25,41/64) -> (18/25,49/68) Glide Reflection Matrix(2971,-1904,4224,-2707) (41/64,25/39) -> (45/64,19/27) Glide Reflection Matrix(67,-44,99,-65) (11/17,2/3) -> (2/3,11/16) Parabolic Matrix(1057,-736,1518,-1057) (16/23,23/33) -> (16/23,23/33) Reflection Matrix(461,-322,660,-461) (23/33,7/10) -> (23/33,7/10) Reflection Matrix(4291,-3016,6105,-4291) (26/37,116/165) -> (26/37,116/165) Reflection Matrix(14849,-10440,21120,-14849) (116/165,45/64) -> (116/165,45/64) Reflection Matrix(463,-326,561,-395) (19/27,12/17) -> (14/17,5/6) Hyperbolic Matrix(1189,-840,1683,-1189) (12/17,70/99) -> (12/17,70/99) Reflection Matrix(5741,-4060,8118,-5741) (70/99,29/41) -> (70/99,29/41) Reflection Matrix(793,-562,1023,-725) (17/24,22/31) -> (24/31,7/9) Hyperbolic Matrix(5083,-3608,7161,-5083) (22/31,164/231) -> (22/31,164/231) Reflection Matrix(32801,-23288,46200,-32801) (164/231,71/100) -> (164/231,71/100) Reflection Matrix(265,-192,363,-263) (13/18,8/11) -> (8/11,11/15) Parabolic Matrix(9505,-6984,12936,-9505) (36/49,97/132) -> (36/49,97/132) Reflection Matrix(16103,-11834,21912,-16103) (97/132,61/83) -> (97/132,61/83) Reflection Matrix(727,-572,924,-727) (11/14,26/33) -> (11/14,26/33) Reflection Matrix(131,-104,165,-131) (26/33,4/5) -> (26/33,4/5) Reflection Matrix(727,-616,858,-727) (11/13,28/33) -> (11/13,28/33) Reflection Matrix(197,-168,231,-197) (28/33,6/7) -> (28/33,6/7) Reflection Matrix(-1,2,0,1) (1/1,1/0) -> (1/1,1/0) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(-1,2,0,1) (0/1,1/0) -> (1/1,1/0) Matrix(529,-50,1386,-131) -> Matrix(3,-8,2,-5) 2/1 Matrix(463,-48,627,-65) -> Matrix(4,-9,1,-2) 3/1 Matrix(397,-46,561,-65) -> Matrix(10,-7,3,-2) Matrix(133,-18,495,-67) -> Matrix(12,-17,7,-10) Matrix(659,-98,1782,-265) -> Matrix(11,-18,8,-13) 3/2 Matrix(199,-30,1320,-199) -> Matrix(15,-28,8,-15) (3/20,5/33) -> (7/4,2/1) Matrix(131,-20,858,-131) -> Matrix(5,-12,2,-5) (5/33,2/13) -> (2/1,3/1) Matrix(529,-82,858,-133) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(529,-84,825,-131) -> Matrix(2,-9,1,-4) 3/1 Matrix(331,-58,759,-133) -> Matrix(8,-3,5,-2) Matrix(67,-12,363,-65) -> Matrix(8,-7,7,-6) 1/1 Matrix(529,-100,693,-131) -> Matrix(2,-3,3,-4) 1/1 Matrix(991,-190,1716,-329) -> Matrix(35,-46,16,-21) Matrix(529,-110,957,-199) -> Matrix(4,-7,1,-2) Matrix(925,-194,1254,-263) -> Matrix(17,-30,4,-7) Matrix(265,-56,1254,-265) -> Matrix(19,-36,10,-19) (4/19,7/33) -> (9/5,2/1) Matrix(197,-42,924,-197) -> Matrix(9,-20,4,-9) (7/33,3/14) -> (2/1,5/2) Matrix(593,-128,2145,-463) -> Matrix(2,-9,1,-4) 3/1 Matrix(857,-186,1221,-265) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(2243,-490,3630,-793) -> Matrix(5,-8,2,-3) 2/1 Matrix(265,-58,297,-65) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(133,-30,297,-67) -> Matrix(2,-7,1,-4) Matrix(197,-46,561,-131) -> Matrix(2,1,1,0) Matrix(329,-78,561,-133) -> Matrix(4,-1,1,0) Matrix(595,-156,759,-199) -> Matrix(12,-19,5,-8) Matrix(1385,-366,2244,-593) -> Matrix(7,-12,4,-7) *** -> (3/2,2/1) Matrix(3299,-874,4488,-1189) -> Matrix(33,-62,8,-15) Matrix(527,-140,990,-263) -> Matrix(5,-12,2,-5) *** -> (2/1,3/1) Matrix(1255,-336,3201,-857) -> Matrix(32,-49,17,-26) Matrix(1387,-372,2211,-593) -> Matrix(18,-29,5,-8) Matrix(199,-54,726,-197) -> Matrix(13,-24,6,-11) 2/1 Matrix(727,-200,1683,-463) -> Matrix(8,-19,5,-12) Matrix(1583,-438,4290,-1187) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(923,-256,2376,-659) -> Matrix(7,-26,4,-15) Matrix(725,-202,1188,-331) -> Matrix(1,2,0,1) 1/0 Matrix(199,-56,231,-65) -> Matrix(4,-9,1,-2) 3/1 Matrix(131,-38,231,-67) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(725,-214,891,-263) -> Matrix(6,1,1,0) Matrix(991,-294,2673,-793) -> Matrix(4,3,3,2) Matrix(659,-196,891,-265) -> Matrix(6,-1,1,0) Matrix(199,-60,660,-199) -> Matrix(5,-4,6,-5) (3/10,10/33) -> (2/3,1/1) Matrix(131,-40,429,-131) -> Matrix(8,-9,7,-8) (10/33,4/13) -> (1/1,9/7) Matrix(329,-102,429,-133) -> Matrix(8,-11,3,-4) Matrix(397,-126,627,-199) -> Matrix(4,-7,1,-2) Matrix(527,-184,759,-265) -> Matrix(4,-9,1,-2) 3/1 Matrix(1253,-444,2046,-725) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(859,-306,1485,-529) -> Matrix(2,9,1,4) Matrix(133,-48,363,-131) -> Matrix(4,-3,3,-2) 1/1 Matrix(3763,-1390,6435,-2377) -> Matrix(4,-7,1,-2) Matrix(2179,-806,3036,-1123) -> Matrix(7,-10,2,-3) Matrix(5147,-1910,8184,-3037) -> Matrix(11,-16,-2,3) Matrix(1187,-442,1947,-725) -> Matrix(10,-13,3,-4) Matrix(329,-124,528,-199) -> Matrix(9,-16,4,-7) 2/1 Matrix(527,-200,693,-263) -> Matrix(2,-3,1,-2) *** -> (1/1,3/1) Matrix(6731,-2568,9339,-3563) -> Matrix(12,-19,5,-8) Matrix(4553,-1738,10890,-4157) -> Matrix(7,-12,4,-7) *** -> (3/2,2/1) Matrix(2837,-1084,3630,-1387) -> Matrix(9,-16,4,-7) 2/1 Matrix(1651,-632,2244,-859) -> Matrix(-1,6,0,1) *** -> (3/1,1/0) Matrix(725,-278,858,-329) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(461,-178,1023,-395) -> Matrix(12,-17,7,-10) Matrix(1321,-512,2046,-793) -> Matrix(39,-64,14,-23) Matrix(6271,-2432,16170,-6271) -> Matrix(259,-430,156,-259) (19/49,64/165) -> (43/26,5/3) Matrix(4289,-1664,11055,-4289) -> Matrix(176,-295,105,-176) (64/165,26/67) -> (5/3,59/35) Matrix(857,-334,1188,-463) -> Matrix(13,-24,6,-11) 2/1 Matrix(989,-388,1848,-725) -> Matrix(11,-20,6,-11) *** -> (5/3,2/1) Matrix(727,-286,1848,-727) -> Matrix(47,-92,24,-47) (11/28,13/33) -> (23/12,2/1) Matrix(131,-52,330,-131) -> Matrix(5,-12,2,-5) (13/33,2/5) -> (2/1,3/1) Matrix(133,-54,165,-67) -> Matrix(4,-7,1,-2) Matrix(659,-272,957,-395) -> Matrix(4,-15,1,-4) *** -> (3/1,5/1) Matrix(593,-246,957,-397) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(925,-386,1584,-661) -> Matrix(5,-2,2,-1) Matrix(2839,-1188,3630,-1519) -> Matrix(5,-12,2,-5) *** -> (2/1,3/1) Matrix(2111,-884,3465,-1451) -> Matrix(4,-15,1,-4) *** -> (3/1,5/1) Matrix(329,-138,627,-263) -> Matrix(2,1,1,0) Matrix(1189,-500,1881,-791) -> Matrix(2,-1,1,0) 1/1 Matrix(265,-112,627,-265) -> Matrix(0,1,1,0) (8/19,14/33) -> (-1/1,1/1) Matrix(197,-84,462,-197) -> Matrix(5,-6,4,-5) (14/33,3/7) -> (1/1,3/2) Matrix(2177,-942,3663,-1585) -> Matrix(8,-11,3,-4) Matrix(5413,-2344,7623,-3301) -> Matrix(6,-11,1,-2) Matrix(1055,-458,1518,-659) -> Matrix(7,-10,2,-3) Matrix(1783,-776,2277,-991) -> Matrix(12,-19,5,-8) Matrix(593,-260,1056,-463) -> Matrix(17,-32,8,-15) 2/1 Matrix(263,-116,297,-131) -> Matrix(2,-3,1,-2) *** -> (1/1,3/1) Matrix(791,-358,1023,-463) -> Matrix(6,-11,-1,2) Matrix(331,-152,429,-197) -> Matrix(4,-9,1,-2) 3/1 Matrix(263,-122,429,-199) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(2047,-1098,3201,-1717) -> Matrix(18,-41,7,-16) Matrix(199,-108,363,-197) -> Matrix(4,-9,1,-2) 3/1 Matrix(661,-364,957,-527) -> Matrix(4,-9,1,-2) 3/1 Matrix(923,-510,1551,-857) -> Matrix(2,1,1,0) Matrix(463,-258,594,-331) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(1187,-664,1650,-923) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(1849,-1036,3300,-1849) -> Matrix(27,-52,14,-27) (14/25,37/66) -> (13/7,2/1) Matrix(3035,-1702,5412,-3035) -> Matrix(57,-116,28,-57) (37/66,23/41) -> (2/1,29/14) Matrix(265,-152,462,-265) -> Matrix(3,-4,2,-3) (4/7,19/33) -> (1/1,2/1) Matrix(989,-570,1716,-989) -> Matrix(33,-68,16,-33) (19/33,15/26) -> (2/1,17/8) Matrix(1057,-610,1485,-857) -> Matrix(10,-21,1,-2) Matrix(7325,-4234,10164,-5875) -> Matrix(3,-8,2,-5) 2/1 Matrix(659,-382,1023,-593) -> Matrix(18,-41,7,-16) Matrix(1783,-1036,2838,-1649) -> Matrix(7,-18,2,-5) 3/1 Matrix(1123,-654,1815,-1057) -> Matrix(0,1,1,-2) Matrix(3103,-1816,4851,-2839) -> Matrix(14,-39,5,-14) *** -> (13/5,3/1) Matrix(2377,-1392,4059,-2377) -> Matrix(26,-75,9,-26) (24/41,58/99) -> (25/9,3/1) Matrix(3365,-1972,5742,-3365) -> Matrix(25,-78,8,-25) (58/99,17/29) -> (3/1,13/4) Matrix(461,-272,561,-331) -> Matrix(0,1,-1,2) 1/1 Matrix(727,-430,891,-527) -> Matrix(10,-21,1,-2) Matrix(1517,-900,2112,-1253) -> Matrix(5,-12,2,-5) *** -> (2/1,3/1) Matrix(199,-120,330,-199) -> Matrix(11,-30,4,-11) (3/5,20/33) -> (5/2,3/1) Matrix(461,-280,759,-461) -> Matrix(10,-33,3,-10) (20/33,14/23) -> (3/1,11/3) Matrix(1187,-726,1617,-989) -> Matrix(4,-23,1,-6) Matrix(5611,-3468,9075,-5609) -> Matrix(4,-9,1,-2) 3/1 Matrix(2377,-1476,3828,-2377) -> Matrix(11,-20,6,-11) (18/29,41/66) -> (5/3,2/1) Matrix(3035,-1886,4884,-3035) -> Matrix(25,-52,12,-25) (41/66,23/37) -> (2/1,13/6) Matrix(5809,-3652,9240,-5809) -> Matrix(-1,14,0,1) (22/35,83/132) -> (7/1,1/0) Matrix(16103,-10126,25608,-16103) -> Matrix(1,16,0,-1) (83/132,61/97) -> (-8/1,1/0) Matrix(3697,-2326,4719,-2969) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(527,-332,627,-395) -> Matrix(2,-3,1,-2) *** -> (1/1,3/1) Matrix(463,-294,726,-461) -> Matrix(5,-8,2,-3) 2/1 Matrix(3961,-2532,5577,-3565) -> Matrix(2,-3,1,-2) *** -> (1/1,3/1) Matrix(2377,-1522,3300,-2113) -> Matrix(9,-20,4,-9) *** -> (2/1,5/2) Matrix(2971,-1904,4224,-2707) -> Matrix(5,-12,2,-5) *** -> (2/1,3/1) Matrix(67,-44,99,-65) -> Matrix(4,-9,1,-2) 3/1 Matrix(1057,-736,1518,-1057) -> Matrix(-1,10,0,1) (16/23,23/33) -> (5/1,1/0) Matrix(461,-322,660,-461) -> Matrix(-1,4,0,1) (23/33,7/10) -> (2/1,1/0) Matrix(4291,-3016,6105,-4291) -> Matrix(2,-3,1,-2) (26/37,116/165) -> (1/1,3/1) Matrix(14849,-10440,21120,-14849) -> Matrix(3,-4,2,-3) (116/165,45/64) -> (1/1,2/1) Matrix(463,-326,561,-395) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(1189,-840,1683,-1189) -> Matrix(14,-39,5,-14) (12/17,70/99) -> (13/5,3/1) Matrix(5741,-4060,8118,-5741) -> Matrix(61,-186,20,-61) (70/99,29/41) -> (3/1,31/10) Matrix(793,-562,1023,-725) -> Matrix(0,1,-1,4) Matrix(5083,-3608,7161,-5083) -> Matrix(4,-15,1,-4) (22/31,164/231) -> (3/1,5/1) Matrix(32801,-23288,46200,-32801) -> Matrix(7,-24,2,-7) (164/231,71/100) -> (3/1,4/1) Matrix(265,-192,363,-263) -> Matrix(10,-27,3,-8) 3/1 Matrix(9505,-6984,12936,-9505) -> Matrix(87,-344,22,-87) (36/49,97/132) -> (43/11,4/1) Matrix(16103,-11834,21912,-16103) -> Matrix(129,-520,32,-129) (97/132,61/83) -> (4/1,65/16) Matrix(727,-572,924,-727) -> Matrix(17,-48,6,-17) (11/14,26/33) -> (8/3,3/1) Matrix(131,-104,165,-131) -> Matrix(4,-15,1,-4) (26/33,4/5) -> (3/1,5/1) Matrix(727,-616,858,-727) -> Matrix(11,-30,4,-11) (11/13,28/33) -> (5/2,3/1) Matrix(197,-168,231,-197) -> Matrix(4,-15,1,-4) (28/33,6/7) -> (3/1,5/1) Matrix(-1,2,0,1) -> Matrix(-1,4,0,1) (1/1,1/0) -> (2/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.