INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 128 Genus: 129 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -9/1 -8/1 -7/1 -6/1 -17/3 -16/3 -5/1 -14/3 -13/3 -4/1 -15/4 -11/3 -18/5 -10/3 -3/1 -30/11 -8/3 -18/7 -5/2 -12/5 -16/7 -120/53 -15/7 -2/1 -15/8 -25/14 -12/7 -5/3 -30/19 -14/9 -10/7 -25/18 -15/11 -4/3 -5/4 -6/5 -10/9 -1/1 -5/6 -15/19 -10/13 -5/7 -2/3 -5/8 -10/17 -5/9 0/1 1/2 5/9 10/17 5/8 2/3 5/7 3/4 10/13 15/19 5/6 15/17 1/1 10/9 20/17 6/5 5/4 4/3 10/7 3/2 20/13 30/19 5/3 12/7 7/4 25/14 20/11 15/8 2/1 15/7 20/9 9/4 16/7 40/17 12/5 5/2 100/39 18/7 8/3 30/11 11/4 25/9 120/43 17/6 20/7 3/1 60/19 19/6 13/4 10/3 7/2 18/5 40/11 11/3 26/7 15/4 19/5 65/17 4/1 80/19 17/4 13/3 40/9 9/2 14/3 19/4 5/1 16/3 11/2 17/3 40/7 6/1 19/3 13/2 20/3 7/1 15/2 8/1 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 -1/1 -9/1 -1/2 1/0 -8/1 0/1 -7/1 -1/2 1/0 -20/3 -1/1 -13/2 -1/2 -6/1 -1/1 -23/4 -1/3 0/1 -40/7 0/1 -17/3 1/2 1/0 -11/2 1/0 -16/3 0/1 -5/1 -1/1 -24/5 -2/3 -19/4 -1/2 0/1 -14/3 -1/1 -1/3 -23/5 -1/2 1/0 -55/12 -1/2 -32/7 0/1 -9/2 -1/2 -22/5 -1/1 1/1 -13/3 -3/2 1/0 -17/4 -1/1 0/1 -38/9 -1/1 -21/5 -1/2 1/0 -4/1 -1/1 -23/6 1/0 -42/11 -1/1 -1/3 -19/5 -1/2 1/0 -34/9 -1/1 -15/4 -1/1 -11/3 -1/2 -1/4 -18/5 -1/1 1/1 -61/17 -1/2 1/0 -43/12 -1/1 0/1 -68/19 1/0 -25/7 0/1 -7/2 1/0 -24/7 -2/1 -41/12 -2/1 -1/1 -17/5 -3/2 1/0 -10/3 -1/1 -23/7 -5/6 -3/4 -13/4 -1/1 -2/3 -29/9 -5/6 -3/4 -16/5 -2/3 -19/6 -1/2 -22/7 -1/3 -3/1 -1/2 1/0 -20/7 -1/1 -17/6 -3/4 -14/5 -1/1 -3/5 -11/4 -1/1 0/1 -41/15 -1/2 -1/4 -30/11 0/1 -19/7 -1/2 1/0 -8/3 0/1 -21/8 -2/1 1/0 -55/21 -1/1 -34/13 -1/1 1/1 -13/5 -5/2 1/0 -31/12 -3/1 -2/1 -18/7 -1/1 -5/2 -1/1 -22/9 -1/1 -61/25 -3/4 -1/2 -100/41 -1/1 -39/16 -1/1 -2/3 -17/7 -3/4 -1/2 -29/12 -1/1 -2/3 -41/17 -5/8 -1/2 -53/22 -1/2 -12/5 -1/2 -55/23 -1/1 -43/18 -3/4 -74/31 -3/5 -31/13 -7/12 -1/2 -19/8 -1/2 0/1 -26/11 -1/1 -1/3 -33/14 -1/4 -40/17 0/1 -7/3 -1/2 1/0 -23/10 1/0 -39/17 -5/2 1/0 -16/7 0/1 -41/18 1/0 -25/11 1/0 -34/15 -3/1 -77/34 -9/4 -120/53 -2/1 -43/19 -7/4 -3/2 -9/4 -2/1 -1/1 -20/9 -1/1 -11/5 -3/4 -1/2 -13/6 -1/2 -28/13 -1/2 -15/7 0/1 -17/8 -1/1 0/1 -2/1 -1/1 -17/9 -3/4 -1/2 -15/8 -1/2 -28/15 -1/1 -13/7 -1/2 1/0 -24/13 0/1 -11/6 1/0 -20/11 -1/1 -9/5 -3/4 -1/2 -43/24 -5/7 -2/3 -34/19 -1/1 -3/5 -25/14 -2/3 -41/23 -7/12 -1/2 -16/9 -2/3 -39/22 -1/2 -23/13 -5/8 -1/2 -7/4 -1/2 0/1 -40/23 0/1 -33/19 1/2 1/0 -26/15 -1/1 -19/11 -1/2 1/0 -50/29 0/1 -81/47 -1/2 1/0 -31/18 1/0 -74/43 -1/1 -1/3 -117/68 -1/5 0/1 -160/93 0/1 -43/25 1/2 1/0 -55/32 1/0 -12/7 -1/1 -53/31 -1/2 1/0 -41/24 -1/1 0/1 -29/17 -1/2 1/0 -17/10 1/0 -5/3 -1/1 -23/14 -3/4 -41/25 -23/30 -3/4 -100/61 -3/4 -59/36 -3/4 -14/19 -18/11 -1/1 -5/7 -49/30 -7/10 -80/49 -2/3 -31/19 -5/8 -1/2 -13/8 -1/1 -2/3 -34/21 -1/1 -5/7 -55/34 -2/3 -21/13 -3/4 -1/2 -8/5 -2/3 -19/12 -4/7 -1/2 -49/31 -15/28 -1/2 -30/19 -1/2 -71/45 -1/2 -17/36 -41/26 -1/2 -11/7 -1/2 -1/4 -25/16 -1/1 -39/25 -1/2 -1/4 -53/34 -1/2 -120/77 0/1 -67/43 -1/2 1/0 -14/9 -1/1 -17/11 -1/2 1/0 -20/13 -1/1 -3/2 -1/2 -22/15 -1/1 -19/13 -1/2 1/0 -16/11 0/1 -29/20 -2/1 -1/1 -13/9 -1/2 1/0 -10/7 -1/1 -27/19 -7/8 -5/6 -17/12 -1/1 -4/5 -41/29 -3/4 -13/18 -24/17 -2/3 -7/5 -3/4 -1/2 -32/23 -2/3 -57/41 -3/4 -1/2 -25/18 -1/1 -68/49 -1/1 -43/31 -11/14 -3/4 -61/44 -10/13 -3/4 -18/13 -1/1 -5/7 -29/21 -7/10 -11/16 -40/29 -2/3 -11/8 -2/3 -3/5 -26/19 -3/5 -5/9 -93/68 -3/5 -4/7 -160/117 -4/7 -67/49 -9/16 -1/2 -41/30 -1/2 -15/11 -1/2 -34/25 -1/1 -19/14 -1/2 -80/59 0/1 -61/45 -1/2 1/0 -42/31 -1/1 -23/17 -1/2 1/0 -4/3 -1/2 -21/16 -1/2 0/1 -80/61 0/1 -59/45 -1/2 1/0 -38/29 -1/1 -1/3 -17/13 -3/4 -1/2 -13/10 -1/2 -22/17 -1/3 -31/24 -1/5 0/1 -40/31 0/1 -9/7 -1/2 1/0 -32/25 0/1 -55/43 -1/1 -23/18 1/0 -14/11 -1/1 -1/3 -19/15 -1/2 1/0 -5/4 -1/1 -21/17 -3/4 -1/2 -16/13 -2/3 -27/22 -1/2 -11/9 -3/4 -1/2 -17/14 -3/4 -40/33 -2/3 -23/19 -5/8 -1/2 -6/5 -1/1 -3/5 -13/11 -9/16 -1/2 -20/17 -1/2 -7/6 -1/2 -15/13 0/1 -23/20 -1/1 0/1 -8/7 0/1 -9/8 -1/1 0/1 -10/9 -1/1 -1/1 -1/2 1/0 -9/10 -1/2 -8/9 0/1 -7/8 -2/3 -1/2 -20/23 -1/2 -13/15 -1/2 -7/16 -6/7 -1/3 -17/20 -1/1 0/1 -11/13 -1/2 -3/8 -16/19 0/1 -5/6 0/1 -24/29 0/1 -19/23 -1/2 1/0 -14/17 -1/1 -23/28 -1/1 -2/3 -32/39 -2/3 -9/11 -1/2 -1/4 -13/16 -1/1 0/1 -17/21 -3/4 -1/2 -4/5 -1/2 -19/24 -1/2 0/1 -15/19 -1/3 -11/14 -1/4 -18/23 -1/1 -43/55 -1/2 -1/4 -25/32 -1/2 -7/9 -1/2 -1/4 -17/22 -1/4 -10/13 0/1 -23/30 1/2 -13/17 -1/2 1/0 -16/21 0/1 -19/25 -1/2 1/0 -3/4 -1/1 0/1 -20/27 -1/1 -17/23 -1/2 1/0 -14/19 -1/1 -1/3 -11/15 -1/2 1/0 -41/56 -1/1 0/1 -30/41 -1/1 -19/26 -1/2 -8/11 0/1 -21/29 -1/2 1/0 -34/47 -1/1 -13/18 -1/2 -18/25 -1/1 -5/7 0/1 -22/31 1/1 -61/86 1/0 -100/141 1/0 -39/55 -7/2 1/0 -17/24 -1/1 0/1 -29/41 3/2 1/0 -41/58 1/0 -53/75 -3/2 1/0 -12/17 -1/1 -43/61 -1/2 -1/4 -31/44 -1/1 0/1 -19/27 -1/2 1/0 -26/37 -1/1 -1/3 -7/10 1/0 -16/23 0/1 -41/59 -5/2 1/0 -25/36 -1/1 -34/49 -1/1 -9/13 -3/2 1/0 -20/29 -1/1 -11/16 -1/1 -2/3 -13/19 -1/2 1/0 -28/41 -1/1 -15/22 -1/1 -17/25 -3/4 -1/2 -2/3 -1/1 -1/3 -17/26 1/0 -15/23 -1/1 -28/43 -1/2 -13/20 -1/1 0/1 -11/17 -3/2 1/0 -20/31 -1/1 -9/14 -3/4 -34/53 -1/1 -3/5 -25/39 -1/1 -41/64 -1/1 -2/3 -16/25 -2/3 -7/11 -3/4 -1/2 -26/41 -3/5 -19/30 -1/2 -50/79 -1/1 -31/49 -3/4 -1/2 -43/68 -2/3 -3/5 -12/19 -1/2 -53/84 -1/1 -2/3 -41/65 -1/2 1/0 -29/46 -1/2 -17/27 -5/8 -1/2 -5/8 -1/2 -23/37 -1/2 1/0 -41/66 -1/2 -100/161 -1/3 -59/95 -1/2 -1/4 -18/29 -1/1 -1/3 -13/21 -3/4 -1/2 -34/55 -1/3 -21/34 -1/2 -8/13 0/1 -19/31 -1/2 1/0 -49/80 -1/1 0/1 -30/49 -1/1 -41/67 -3/4 -1/2 -11/18 -1/2 -25/41 -1/1 -39/64 -1/1 0/1 -53/87 -1/2 1/0 -14/23 -1/1 -17/28 -2/1 -1/1 -20/33 -1/1 -3/5 -3/4 -1/2 -19/32 -1/2 0/1 -16/27 -2/3 -13/22 -1/2 -10/17 -1/2 -27/46 -1/2 -17/29 -1/2 -5/12 -7/12 -1/2 0/1 -32/55 -2/5 -25/43 -1/3 -43/74 -1/2 -18/31 -1/3 -29/50 -1/6 -40/69 0/1 -11/19 -1/2 1/0 -26/45 -1/1 -1/3 -67/116 -1/1 0/1 -41/71 -3/4 -1/2 -15/26 0/1 -19/33 -1/2 1/0 -4/7 -1/1 -17/30 -3/4 -13/23 -5/8 -1/2 -9/16 -2/3 -3/5 -32/57 -2/3 -23/41 -5/8 -1/2 -14/25 -3/5 -19/34 -1/2 -5/9 -1/2 -21/38 -1/2 -16/29 -2/5 -11/20 -1/3 0/1 -17/31 -1/2 -1/4 -6/11 -1/1 -1/3 -13/24 -1/1 0/1 -20/37 -1/1 -7/13 -3/4 -1/2 -15/28 -1/2 -8/15 -2/3 -9/17 -9/16 -1/2 -1/2 -1/2 0/1 0/1 1/2 1/0 9/17 -9/2 1/0 8/15 -2/1 7/13 -3/2 1/0 6/11 -1/1 1/1 11/20 0/1 1/1 16/29 2/1 5/9 1/0 19/34 1/0 14/25 -3/1 9/16 -3/1 -2/1 13/23 -5/2 1/0 17/30 -3/2 4/7 -1/1 19/33 -1/2 1/0 15/26 0/1 11/19 -1/2 1/0 18/31 1/1 43/74 1/0 25/43 1/1 7/12 0/1 1/0 17/29 5/2 1/0 10/17 1/0 13/22 1/0 16/27 -2/1 3/5 -3/2 1/0 17/28 -1/1 -2/3 14/23 -1/1 11/18 1/0 8/13 0/1 21/34 1/0 34/55 1/1 13/21 -3/2 1/0 18/29 -1/1 1/1 5/8 1/0 22/35 -3/1 -1/1 17/27 -5/2 1/0 12/19 1/0 43/68 -3/1 -2/1 31/49 -3/2 1/0 19/30 1/0 26/41 -3/1 7/11 -3/2 1/0 16/25 -2/1 25/39 -1/1 9/14 -3/2 11/17 -3/4 -1/2 13/20 -1/1 0/1 15/23 -1/1 2/3 -1/1 1/1 15/22 -1/1 13/19 -1/2 1/0 11/16 -2/1 -1/1 9/13 -3/4 -1/2 25/36 -1/1 16/23 0/1 7/10 -1/2 19/27 -1/2 1/0 31/44 -1/1 0/1 43/61 1/2 1/0 12/17 -1/1 29/41 -1/2 -3/8 17/24 -1/1 0/1 5/7 0/1 23/32 0/1 1/1 18/25 -1/1 13/18 1/0 8/11 0/1 19/26 1/0 49/67 -3/2 1/0 30/41 -1/1 11/15 -1/2 1/0 25/34 0/1 14/19 -1/1 1/1 3/4 -1/1 0/1 19/25 -1/2 1/0 16/21 0/1 13/17 -1/2 1/0 10/13 0/1 27/35 1/6 1/4 17/22 1/2 7/9 1/2 1/0 32/41 0/1 25/32 1/0 43/55 1/2 1/0 18/23 -1/1 29/37 -1/2 -1/4 11/14 1/2 26/33 1/1 41/52 0/1 1/1 15/19 1/1 19/24 0/1 1/0 4/5 1/0 13/16 -1/1 0/1 9/11 1/2 1/0 32/39 -2/1 23/28 -2/1 -1/1 14/17 -1/1 5/6 0/1 16/19 0/1 11/13 3/2 1/0 17/20 -1/1 0/1 6/7 1/1 13/15 7/2 1/0 7/8 -2/1 1/0 15/17 -1/1 8/9 0/1 1/1 -1/2 1/0 10/9 -1/1 9/8 -1/1 0/1 8/7 0/1 7/6 1/0 20/17 1/0 33/28 -10/1 1/0 13/11 -9/2 1/0 6/5 -3/1 -1/1 23/19 -5/2 1/0 40/33 -2/1 17/14 -3/2 11/9 -3/2 1/0 16/13 -2/1 5/4 -1/1 24/19 0/1 19/15 -1/2 1/0 33/26 -1/2 14/11 -1/1 1/1 23/18 -1/2 55/43 -1/1 32/25 0/1 9/7 -1/2 1/0 22/17 1/1 13/10 1/0 30/23 1/0 17/13 -3/2 1/0 38/29 -1/1 1/1 21/16 0/1 1/0 4/3 1/0 23/17 -1/2 1/0 42/31 -1/1 19/14 1/0 34/25 -1/1 15/11 1/0 11/8 -3/1 -2/1 18/13 -5/3 -1/1 61/44 -3/2 -10/7 43/31 -3/2 -11/8 68/49 -1/1 25/18 -1/1 7/5 -3/2 1/0 24/17 -2/1 41/29 -13/8 -3/2 58/41 -7/5 17/12 -4/3 -1/1 10/7 -1/1 23/16 -1/1 -2/3 13/9 -1/2 1/0 29/20 -1/1 -2/3 16/11 0/1 19/13 -1/2 1/0 22/15 -1/1 3/2 1/0 20/13 -1/1 17/11 -1/2 1/0 48/31 0/1 31/20 -1/1 0/1 14/9 -1/1 11/7 1/2 1/0 52/33 3/1 41/26 1/0 30/19 1/0 19/12 -4/1 1/0 8/5 -2/1 29/18 -3/2 79/49 -3/2 -5/4 50/31 -1/1 71/44 -2/1 -1/1 21/13 -3/2 1/0 55/34 -2/1 34/21 -5/3 -1/1 47/29 -3/2 -5/4 13/8 -2/1 -1/1 31/19 -5/2 1/0 18/11 -5/3 -1/1 5/3 -1/1 22/13 -1/1 -3/5 61/36 -6/11 -1/2 100/59 -1/2 39/23 -1/2 -5/12 17/10 -1/2 29/17 -1/2 1/0 70/41 -1/1 41/24 -1/1 0/1 94/55 -1/1 53/31 -1/2 1/0 65/38 -1/1 12/7 -1/1 55/32 -1/2 43/25 -1/2 -1/4 74/43 -1/1 1/1 31/18 -1/2 19/11 -1/2 1/0 64/37 0/1 45/26 0/1 26/15 -1/1 33/19 -1/2 -1/4 40/23 0/1 7/4 0/1 1/0 23/13 -5/2 1/0 62/35 -3/1 -1/1 39/22 1/0 16/9 -2/1 41/23 -7/2 1/0 107/60 -3/1 -2/1 66/37 -3/1 -1/1 25/14 -2/1 34/19 -3/1 -1/1 77/43 -5/2 -9/4 120/67 -2/1 43/24 -2/1 -5/3 9/5 -3/2 1/0 29/16 -6/5 -1/1 20/11 -1/1 11/6 -1/2 13/7 -1/2 1/0 28/15 -1/1 15/8 1/0 17/9 -3/2 1/0 2/1 -1/1 17/8 -1/1 0/1 15/7 0/1 28/13 1/0 13/6 1/0 24/11 -2/1 11/5 -3/2 1/0 31/14 -7/6 20/9 -1/1 9/4 -1/1 -2/3 43/19 -3/4 -7/10 34/15 -3/5 25/11 -1/2 41/18 -1/2 16/7 0/1 39/17 -5/8 -1/2 23/10 -1/2 7/3 -1/2 1/0 40/17 0/1 33/14 1/2 26/11 -1/1 1/1 19/8 0/1 1/0 50/21 1/0 81/34 1/0 31/13 -7/2 1/0 74/31 -3/1 117/49 -9/4 -13/6 160/67 -2/1 43/18 -3/2 55/23 -1/1 67/28 -1/1 0/1 12/5 1/0 53/22 1/0 41/17 -5/2 1/0 29/12 -2/1 -1/1 46/19 -3/1 -1/1 17/7 -3/2 1/0 5/2 -1/1 23/9 -3/4 -1/2 41/16 -1/1 -2/3 100/39 -1/1 59/23 -3/4 -1/2 18/7 -1/1 49/19 -3/4 -7/10 80/31 -2/3 31/12 -2/3 -3/5 13/5 -5/8 -1/2 34/13 -1/1 -1/3 89/34 1/0 55/21 -1/1 21/8 -2/3 -1/2 8/3 0/1 27/10 1/0 19/7 -1/2 1/0 49/18 -1/2 30/11 0/1 71/26 1/0 41/15 1/2 1/0 11/4 -1/1 0/1 25/9 1/0 39/14 1/0 92/33 -3/1 53/19 -5/2 1/0 120/43 -2/1 67/24 -2/1 -1/1 14/5 -3/1 -1/1 17/6 -3/2 20/7 -1/1 23/8 -1/1 -4/5 3/1 -1/2 1/0 22/7 1/1 41/13 11/2 1/0 60/19 1/0 19/6 1/0 35/11 1/0 16/5 -2/1 29/9 -3/2 -5/4 13/4 -2/1 -1/1 10/3 -1/1 27/8 -1/1 -4/5 44/13 -3/4 17/5 -3/4 -1/2 41/12 -1/1 -2/3 65/19 -1/1 24/7 -2/3 7/2 -1/2 32/9 0/1 57/16 -1/3 0/1 25/7 0/1 68/19 -1/2 43/12 -1/1 0/1 61/17 -1/2 1/0 140/39 -1/1 79/22 -1/2 18/5 -1/1 -1/3 29/8 -1/5 0/1 40/11 0/1 51/14 1/6 11/3 1/2 1/0 26/7 -1/1 93/25 -1/2 1/0 160/43 0/1 67/18 1/0 41/11 1/2 1/0 56/15 -2/1 15/4 -1/1 49/13 -3/4 -1/2 34/9 -1/1 19/5 -1/2 1/0 80/21 0/1 61/16 0/1 1/0 42/11 -1/1 1/1 65/17 -1/1 23/6 -1/2 4/1 -1/1 21/5 -1/2 1/0 80/19 0/1 59/14 1/0 38/9 -1/1 17/4 -1/1 0/1 13/3 -3/4 -1/2 22/5 -1/1 -1/3 31/7 -1/4 -1/6 40/9 0/1 9/2 1/0 41/9 -1/2 1/0 32/7 0/1 55/12 1/0 23/5 -1/2 1/0 60/13 -1/1 37/8 -1/1 0/1 14/3 -1/1 1/1 19/4 0/1 1/0 5/1 -1/1 21/4 -2/3 -1/2 37/7 -1/2 1/0 16/3 0/1 27/5 -1/2 1/0 11/2 -1/2 39/7 -3/4 -1/2 67/12 -1/1 0/1 28/5 -1/2 17/3 -1/2 -1/4 40/7 0/1 23/4 0/1 1/1 6/1 -1/1 19/3 -1/2 1/0 13/2 1/0 20/3 -1/1 27/4 -1/1 -2/3 7/1 -1/2 1/0 15/2 -1/1 38/5 -1/1 -3/5 23/3 -1/2 1/0 8/1 0/1 9/1 -1/2 1/0 10/1 -1/1 1/0 -1/1 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(41,480,24,281) (-10/1,1/0) -> (70/41,41/24) Hyperbolic Matrix(79,760,108,1039) (-10/1,-9/1) -> (49/67,30/41) Hyperbolic Matrix(41,360,32,281) (-9/1,-8/1) -> (32/25,9/7) Hyperbolic Matrix(39,280,-28,-201) (-8/1,-7/1) -> (-7/5,-32/23) Hyperbolic Matrix(41,280,-76,-519) (-7/1,-20/3) -> (-20/37,-7/13) Hyperbolic Matrix(79,520,12,79) (-20/3,-13/2) -> (13/2,20/3) Hyperbolic Matrix(81,520,-112,-719) (-13/2,-6/1) -> (-34/47,-13/18) Hyperbolic Matrix(41,240,48,281) (-6/1,-23/4) -> (17/20,6/7) Hyperbolic Matrix(321,1840,56,321) (-23/4,-40/7) -> (40/7,23/4) Hyperbolic Matrix(281,1600,232,1321) (-40/7,-17/3) -> (23/19,40/33) Hyperbolic Matrix(121,680,-192,-1079) (-17/3,-11/2) -> (-29/46,-17/27) Hyperbolic Matrix(81,440,-44,-239) (-11/2,-16/3) -> (-24/13,-11/6) Hyperbolic Matrix(39,200,-8,-41) (-16/3,-5/1) -> (-5/1,-24/5) Parabolic Matrix(159,760,-268,-1281) (-24/5,-19/4) -> (-19/32,-16/27) Hyperbolic Matrix(161,760,68,321) (-19/4,-14/3) -> (26/11,19/8) Hyperbolic Matrix(121,560,-164,-759) (-14/3,-23/5) -> (-17/23,-14/19) Hyperbolic Matrix(279,1280,148,679) (-23/5,-55/12) -> (15/8,17/9) Hyperbolic Matrix(559,2560,716,3279) (-55/12,-32/7) -> (32/41,25/32) Hyperbolic Matrix(79,360,-88,-401) (-32/7,-9/2) -> (-9/10,-8/9) Hyperbolic Matrix(281,1240,-172,-759) (-9/2,-22/5) -> (-18/11,-49/30) Hyperbolic Matrix(119,520,192,839) (-22/5,-13/3) -> (13/21,18/29) Hyperbolic Matrix(121,520,84,361) (-13/3,-17/4) -> (23/16,13/9) Hyperbolic Matrix(161,680,76,321) (-17/4,-38/9) -> (2/1,17/8) Hyperbolic Matrix(759,3200,-560,-2361) (-38/9,-21/5) -> (-61/45,-42/31) Hyperbolic Matrix(39,160,68,279) (-21/5,-4/1) -> (4/7,19/33) Hyperbolic Matrix(41,160,72,281) (-4/1,-23/6) -> (17/30,4/7) Hyperbolic Matrix(199,760,-304,-1161) (-23/6,-42/11) -> (-2/3,-17/26) Hyperbolic Matrix(839,3200,-640,-2441) (-42/11,-19/5) -> (-59/45,-38/29) Hyperbolic Matrix(201,760,32,121) (-19/5,-34/9) -> (6/1,19/3) Hyperbolic Matrix(361,1360,-520,-1959) (-34/9,-15/4) -> (-25/36,-34/49) Hyperbolic Matrix(119,440,-76,-281) (-15/4,-11/3) -> (-11/7,-25/16) Hyperbolic Matrix(199,720,-144,-521) (-11/3,-18/5) -> (-18/13,-29/21) Hyperbolic Matrix(601,2160,-968,-3479) (-18/5,-61/17) -> (-59/95,-18/29) Hyperbolic Matrix(279,1000,368,1319) (-61/17,-43/12) -> (3/4,19/25) Hyperbolic Matrix(961,3440,1520,5441) (-43/12,-68/19) -> (12/19,43/68) Hyperbolic Matrix(481,1720,224,801) (-68/19,-25/7) -> (15/7,28/13) Hyperbolic Matrix(79,280,-68,-241) (-25/7,-7/2) -> (-7/6,-15/13) Hyperbolic Matrix(81,280,116,401) (-7/2,-24/7) -> (16/23,7/10) Hyperbolic Matrix(479,1640,-748,-2561) (-24/7,-41/12) -> (-41/64,-16/25) Hyperbolic Matrix(481,1640,188,641) (-41/12,-17/5) -> (23/9,41/16) Hyperbolic Matrix(119,400,-36,-121) (-17/5,-10/3) -> (-10/3,-23/7) Parabolic Matrix(159,520,-196,-641) (-23/7,-13/4) -> (-13/16,-17/21) Hyperbolic Matrix(161,520,248,801) (-13/4,-29/9) -> (11/17,13/20) Hyperbolic Matrix(199,640,236,759) (-29/9,-16/5) -> (16/19,11/13) Hyperbolic Matrix(201,640,-364,-1159) (-16/5,-19/6) -> (-21/38,-16/29) Hyperbolic Matrix(559,1760,-788,-2481) (-19/6,-22/7) -> (-22/31,-61/86) Hyperbolic Matrix(319,1000,408,1279) (-22/7,-3/1) -> (43/55,18/23) Hyperbolic Matrix(41,120,-68,-199) (-3/1,-20/7) -> (-20/33,-3/5) Hyperbolic Matrix(239,680,84,239) (-20/7,-17/6) -> (17/6,20/7) Hyperbolic Matrix(199,560,156,439) (-17/6,-14/5) -> (14/11,23/18) Hyperbolic Matrix(159,440,-116,-321) (-14/5,-11/4) -> (-11/8,-26/19) Hyperbolic Matrix(599,1640,248,679) (-11/4,-41/15) -> (41/17,29/12) Hyperbolic Matrix(1641,4480,-952,-2599) (-41/15,-30/11) -> (-50/29,-81/47) Hyperbolic Matrix(559,1520,-324,-881) (-30/11,-19/7) -> (-19/11,-50/29) Hyperbolic Matrix(119,320,-164,-441) (-19/7,-8/3) -> (-8/11,-21/29) Hyperbolic Matrix(121,320,76,201) (-8/3,-21/8) -> (19/12,8/5) Hyperbolic Matrix(519,1360,656,1719) (-21/8,-55/21) -> (15/19,19/24) Hyperbolic Matrix(1039,2720,-1620,-4241) (-55/21,-34/13) -> (-34/53,-25/39) Hyperbolic Matrix(199,520,168,439) (-34/13,-13/5) -> (13/11,6/5) Hyperbolic Matrix(201,520,356,921) (-13/5,-31/12) -> (9/16,13/23) Hyperbolic Matrix(481,1240,-372,-959) (-31/12,-18/7) -> (-22/17,-31/24) Hyperbolic Matrix(79,200,-32,-81) (-18/7,-5/2) -> (-5/2,-22/9) Parabolic Matrix(721,1760,492,1201) (-22/9,-61/25) -> (19/13,22/15) Hyperbolic Matrix(4919,12000,-7920,-19321) (-61/25,-100/41) -> (-100/161,-59/95) Hyperbolic Matrix(3281,8000,1280,3121) (-100/41,-39/16) -> (41/16,100/39) Hyperbolic Matrix(559,1360,164,399) (-39/16,-17/7) -> (17/5,41/12) Hyperbolic Matrix(281,680,-512,-1239) (-17/7,-29/12) -> (-11/20,-17/31) Hyperbolic Matrix(679,1640,248,599) (-29/12,-41/17) -> (41/15,11/4) Hyperbolic Matrix(2041,4920,548,1321) (-41/17,-53/22) -> (67/18,41/11) Hyperbolic Matrix(681,1640,316,761) (-53/22,-12/5) -> (28/13,13/6) Hyperbolic Matrix(719,1720,-1104,-2641) (-12/5,-55/23) -> (-15/23,-28/43) Hyperbolic Matrix(1439,3440,2476,5919) (-55/23,-43/18) -> (43/74,25/43) Hyperbolic Matrix(2999,7160,-1324,-3161) (-43/18,-74/31) -> (-34/15,-77/34) Hyperbolic Matrix(1961,4680,520,1241) (-74/31,-31/13) -> (49/13,34/9) Hyperbolic Matrix(639,1520,-404,-961) (-31/13,-19/8) -> (-19/12,-49/31) Hyperbolic Matrix(321,760,68,161) (-19/8,-26/11) -> (14/3,19/4) Hyperbolic Matrix(559,1320,440,1039) (-26/11,-33/14) -> (33/26,14/11) Hyperbolic Matrix(1121,2640,476,1121) (-33/14,-40/17) -> (40/17,33/14) Hyperbolic Matrix(681,1600,392,921) (-40/17,-7/3) -> (33/19,40/23) Hyperbolic Matrix(121,280,156,361) (-7/3,-23/10) -> (17/22,7/9) Hyperbolic Matrix(679,1560,400,919) (-23/10,-39/17) -> (39/23,17/10) Hyperbolic Matrix(559,1280,-804,-1841) (-39/17,-16/7) -> (-16/23,-41/59) Hyperbolic Matrix(561,1280,316,721) (-16/7,-41/18) -> (39/22,16/9) Hyperbolic Matrix(879,2000,316,719) (-41/18,-25/11) -> (25/9,39/14) Hyperbolic Matrix(599,1360,440,999) (-25/11,-34/15) -> (34/25,15/11) Hyperbolic Matrix(7719,17480,3232,7319) (-77/34,-120/53) -> (160/67,43/18) Hyperbolic Matrix(6361,14400,3552,8041) (-120/53,-43/19) -> (77/43,120/67) Hyperbolic Matrix(761,1720,1080,2441) (-43/19,-9/4) -> (31/44,43/61) Hyperbolic Matrix(161,360,72,161) (-9/4,-20/9) -> (20/9,9/4) Hyperbolic Matrix(199,440,-308,-681) (-20/9,-11/5) -> (-11/17,-20/31) Hyperbolic Matrix(201,440,-164,-359) (-11/5,-13/6) -> (-27/22,-11/9) Hyperbolic Matrix(761,1640,316,681) (-13/6,-28/13) -> (12/5,53/22) Hyperbolic Matrix(801,1720,224,481) (-28/13,-15/7) -> (25/7,68/19) Hyperbolic Matrix(599,1280,168,359) (-15/7,-17/8) -> (57/16,25/7) Hyperbolic Matrix(321,680,76,161) (-17/8,-2/1) -> (38/9,17/4) Hyperbolic Matrix(401,760,296,561) (-2/1,-17/9) -> (23/17,42/31) Hyperbolic Matrix(679,1280,148,279) (-17/9,-15/8) -> (55/12,23/5) Hyperbolic Matrix(921,1720,536,1001) (-15/8,-28/15) -> (12/7,55/32) Hyperbolic Matrix(879,1640,-1244,-2321) (-28/15,-13/7) -> (-53/75,-12/17) Hyperbolic Matrix(281,520,368,681) (-13/7,-24/13) -> (16/21,13/17) Hyperbolic Matrix(241,440,132,241) (-11/6,-20/11) -> (20/11,11/6) Hyperbolic Matrix(199,360,-288,-521) (-20/11,-9/5) -> (-9/13,-20/29) Hyperbolic Matrix(959,1720,1516,2719) (-9/5,-43/24) -> (43/68,31/49) Hyperbolic Matrix(3999,7160,-2324,-4161) (-43/24,-34/19) -> (-74/43,-117/68) Hyperbolic Matrix(1521,2720,940,1681) (-34/19,-25/14) -> (55/34,34/21) Hyperbolic Matrix(919,1640,-1592,-2841) (-25/14,-41/23) -> (-41/71,-15/26) Hyperbolic Matrix(921,1640,652,1161) (-41/23,-16/9) -> (24/17,41/29) Hyperbolic Matrix(721,1280,316,561) (-16/9,-39/22) -> (41/18,16/7) Hyperbolic Matrix(1039,1840,-1672,-2961) (-39/22,-23/13) -> (-23/37,-41/66) Hyperbolic Matrix(159,280,272,479) (-23/13,-7/4) -> (7/12,17/29) Hyperbolic Matrix(321,560,184,321) (-7/4,-40/23) -> (40/23,7/4) Hyperbolic Matrix(921,1600,392,681) (-40/23,-33/19) -> (7/3,40/17) Hyperbolic Matrix(599,1040,944,1639) (-33/19,-26/15) -> (26/41,7/11) Hyperbolic Matrix(439,760,-532,-921) (-26/15,-19/11) -> (-19/23,-14/17) Hyperbolic Matrix(1161,2000,256,441) (-81/47,-31/18) -> (9/2,41/9) Hyperbolic Matrix(4439,7640,1696,2919) (-31/18,-74/43) -> (34/13,89/34) Hyperbolic Matrix(12159,20920,6788,11679) (-117/68,-160/93) -> (120/67,43/24) Hyperbolic Matrix(14881,25600,6232,10721) (-160/93,-43/25) -> (117/49,160/67) Hyperbolic Matrix(2001,3440,2560,4401) (-43/25,-55/32) -> (25/32,43/55) Hyperbolic Matrix(1001,1720,536,921) (-55/32,-12/7) -> (28/15,15/8) Hyperbolic Matrix(959,1640,-1404,-2401) (-12/7,-53/31) -> (-13/19,-28/41) Hyperbolic Matrix(2481,4240,-4072,-6959) (-53/31,-41/24) -> (-39/64,-53/87) Hyperbolic Matrix(961,1640,-1312,-2239) (-41/24,-29/17) -> (-11/15,-41/56) Hyperbolic Matrix(399,680,328,559) (-29/17,-17/10) -> (17/14,11/9) Hyperbolic Matrix(119,200,-72,-121) (-17/10,-5/3) -> (-5/3,-23/14) Parabolic Matrix(1121,1840,488,801) (-23/14,-41/25) -> (39/17,23/10) Hyperbolic Matrix(4879,8000,-6880,-11281) (-41/25,-100/61) -> (-100/141,-39/55) Hyperbolic Matrix(7321,12000,4320,7081) (-100/61,-59/36) -> (61/36,100/59) Hyperbolic Matrix(1319,2160,952,1559) (-59/36,-18/11) -> (18/13,61/44) Hyperbolic Matrix(1641,2680,368,601) (-49/30,-80/49) -> (40/9,9/2) Hyperbolic Matrix(3921,6400,1520,2481) (-80/49,-31/19) -> (49/19,80/31) Hyperbolic Matrix(319,520,392,639) (-31/19,-13/8) -> (13/16,9/11) Hyperbolic Matrix(321,520,-592,-959) (-13/8,-34/21) -> (-6/11,-13/24) Hyperbolic Matrix(1681,2720,940,1521) (-34/21,-55/34) -> (25/14,34/19) Hyperbolic Matrix(841,1360,1460,2361) (-55/34,-21/13) -> (19/33,15/26) Hyperbolic Matrix(199,320,-324,-521) (-21/13,-8/5) -> (-8/13,-19/31) Hyperbolic Matrix(201,320,76,121) (-8/5,-19/12) -> (21/8,8/3) Hyperbolic Matrix(2279,3600,-1444,-2281) (-49/31,-30/19) -> (-30/19,-71/45) Parabolic Matrix(279,440,532,839) (-71/45,-41/26) -> (1/2,9/17) Hyperbolic Matrix(1041,1640,-1472,-2319) (-41/26,-11/7) -> (-29/41,-41/58) Hyperbolic Matrix(1281,2000,-1844,-2879) (-25/16,-39/25) -> (-41/59,-25/36) Hyperbolic Matrix(2719,4240,1128,1759) (-39/25,-53/34) -> (53/22,41/17) Hyperbolic Matrix(10599,16520,2848,4439) (-53/34,-120/77) -> (160/43,67/18) Hyperbolic Matrix(9241,14400,3312,5161) (-120/77,-67/43) -> (53/19,120/43) Hyperbolic Matrix(4519,7040,2644,4119) (-67/43,-14/9) -> (94/55,53/31) Hyperbolic Matrix(361,560,-644,-999) (-14/9,-17/11) -> (-23/41,-14/25) Hyperbolic Matrix(441,680,-596,-919) (-17/11,-20/13) -> (-20/27,-17/23) Hyperbolic Matrix(79,120,52,79) (-20/13,-3/2) -> (3/2,20/13) Hyperbolic Matrix(681,1000,1172,1721) (-3/2,-22/15) -> (18/31,43/74) Hyperbolic Matrix(1119,1640,436,639) (-22/15,-19/13) -> (59/23,18/7) Hyperbolic Matrix(521,760,412,601) (-19/13,-16/11) -> (24/19,19/15) Hyperbolic Matrix(441,640,800,1161) (-16/11,-29/20) -> (11/20,16/29) Hyperbolic Matrix(359,520,524,759) (-29/20,-13/9) -> (13/19,11/16) Hyperbolic Matrix(279,400,-196,-281) (-13/9,-10/7) -> (-10/7,-27/19) Parabolic Matrix(479,680,112,159) (-27/19,-17/12) -> (17/4,13/3) Hyperbolic Matrix(961,1360,-1356,-1919) (-17/12,-41/29) -> (-39/55,-17/24) Hyperbolic Matrix(1161,1640,652,921) (-41/29,-24/17) -> (16/9,41/23) Hyperbolic Matrix(199,280,312,439) (-24/17,-7/5) -> (7/11,16/25) Hyperbolic Matrix(2359,3280,1524,2119) (-32/23,-57/41) -> (17/11,48/31) Hyperbolic Matrix(921,1280,-1352,-1879) (-57/41,-25/18) -> (-15/22,-17/25) Hyperbolic Matrix(1239,1720,-1816,-2521) (-25/18,-68/49) -> (-28/41,-15/22) Hyperbolic Matrix(2479,3440,3516,4879) (-68/49,-43/31) -> (43/61,12/17) Hyperbolic Matrix(2279,3160,432,599) (-43/31,-61/44) -> (21/4,37/7) Hyperbolic Matrix(1761,2440,1040,1441) (-61/44,-18/13) -> (22/13,61/36) Hyperbolic Matrix(1159,1600,-2000,-2761) (-29/21,-40/29) -> (-40/69,-11/19) Hyperbolic Matrix(1161,1600,320,441) (-40/29,-11/8) -> (29/8,40/11) Hyperbolic Matrix(6521,8920,3656,5001) (-26/19,-93/68) -> (107/60,66/37) Hyperbolic Matrix(15999,21880,5732,7839) (-93/68,-160/117) -> (120/43,67/24) Hyperbolic Matrix(18721,25600,5032,6881) (-160/117,-67/49) -> (93/25,160/43) Hyperbolic Matrix(3599,4920,-5092,-6961) (-67/49,-41/30) -> (-41/58,-53/75) Hyperbolic Matrix(1201,1640,528,721) (-41/30,-15/11) -> (25/11,41/18) Hyperbolic Matrix(999,1360,440,599) (-15/11,-34/25) -> (34/15,25/11) Hyperbolic Matrix(1001,1360,1620,2201) (-34/25,-19/14) -> (21/34,34/55) Hyperbolic Matrix(4601,6240,1092,1481) (-19/14,-80/59) -> (80/19,59/14) Hyperbolic Matrix(4721,6400,1240,1681) (-80/59,-61/45) -> (19/5,80/21) Hyperbolic Matrix(561,760,296,401) (-42/31,-23/17) -> (17/9,2/1) Hyperbolic Matrix(799,1080,236,319) (-23/17,-4/3) -> (44/13,17/5) Hyperbolic Matrix(121,160,152,201) (-4/3,-21/16) -> (19/24,4/5) Hyperbolic Matrix(5001,6560,1312,1721) (-21/16,-80/61) -> (80/21,61/16) Hyperbolic Matrix(4881,6400,1160,1521) (-80/61,-59/45) -> (21/5,80/19) Hyperbolic Matrix(519,680,-764,-1001) (-38/29,-17/13) -> (-17/25,-2/3) Hyperbolic Matrix(521,680,-888,-1159) (-17/13,-13/10) -> (-27/46,-17/29) Hyperbolic Matrix(401,520,556,721) (-13/10,-22/17) -> (18/25,13/18) Hyperbolic Matrix(2881,3720,1116,1441) (-31/24,-40/31) -> (80/31,31/12) Hyperbolic Matrix(1241,1600,280,361) (-40/31,-9/7) -> (31/7,40/9) Hyperbolic Matrix(281,360,32,41) (-9/7,-32/25) -> (8/1,9/1) Hyperbolic Matrix(719,920,812,1039) (-32/25,-55/43) -> (15/17,8/9) Hyperbolic Matrix(1001,1280,-1532,-1959) (-55/43,-23/18) -> (-17/26,-15/23) Hyperbolic Matrix(439,560,156,199) (-23/18,-14/11) -> (14/5,17/6) Hyperbolic Matrix(599,760,-852,-1081) (-14/11,-19/15) -> (-19/27,-26/37) Hyperbolic Matrix(159,200,-128,-161) (-19/15,-5/4) -> (-5/4,-21/17) Parabolic Matrix(519,640,356,439) (-21/17,-16/13) -> (16/11,19/13) Hyperbolic Matrix(521,640,880,1081) (-16/13,-27/22) -> (13/22,16/27) Hyperbolic Matrix(559,680,328,399) (-11/9,-17/14) -> (17/10,29/17) Hyperbolic Matrix(1121,1360,924,1121) (-17/14,-40/33) -> (40/33,17/14) Hyperbolic Matrix(1321,1600,232,281) (-40/33,-23/19) -> (17/3,40/7) Hyperbolic Matrix(959,1160,396,479) (-23/19,-6/5) -> (46/19,17/7) Hyperbolic Matrix(439,520,168,199) (-6/5,-13/11) -> (13/5,34/13) Hyperbolic Matrix(441,520,-508,-599) (-13/11,-20/17) -> (-20/23,-13/15) Hyperbolic Matrix(239,280,204,239) (-20/17,-7/6) -> (7/6,20/17) Hyperbolic Matrix(521,600,244,281) (-15/13,-23/20) -> (17/8,15/7) Hyperbolic Matrix(801,920,976,1121) (-23/20,-8/7) -> (32/39,23/28) Hyperbolic Matrix(319,360,-568,-641) (-8/7,-9/8) -> (-9/16,-32/57) Hyperbolic Matrix(1039,1160,644,719) (-9/8,-10/9) -> (50/31,71/44) Hyperbolic Matrix(761,840,472,521) (-10/9,-1/1) -> (79/49,50/31) Hyperbolic Matrix(481,440,176,161) (-1/1,-9/10) -> (71/26,41/15) Hyperbolic Matrix(319,280,-548,-481) (-8/9,-7/8) -> (-7/12,-32/55) Hyperbolic Matrix(919,800,780,679) (-7/8,-20/23) -> (20/17,33/28) Hyperbolic Matrix(601,520,972,841) (-13/15,-6/7) -> (34/55,13/21) Hyperbolic Matrix(281,240,48,41) (-6/7,-17/20) -> (23/4,6/1) Hyperbolic Matrix(801,680,1132,961) (-17/20,-11/13) -> (29/41,17/24) Hyperbolic Matrix(759,640,236,199) (-11/13,-16/19) -> (16/5,29/9) Hyperbolic Matrix(239,200,-288,-241) (-16/19,-5/6) -> (-5/6,-24/29) Parabolic Matrix(919,760,1208,999) (-24/29,-19/23) -> (19/25,16/21) Hyperbolic Matrix(681,560,1120,921) (-14/17,-23/28) -> (17/28,14/23) Hyperbolic Matrix(3119,2560,876,719) (-23/28,-32/39) -> (32/9,57/16) Hyperbolic Matrix(439,360,828,679) (-32/39,-9/11) -> (9/17,8/15) Hyperbolic Matrix(639,520,392,319) (-9/11,-13/16) -> (13/8,31/19) Hyperbolic Matrix(199,160,148,119) (-17/21,-4/5) -> (4/3,23/17) Hyperbolic Matrix(201,160,152,121) (-4/5,-19/24) -> (21/16,4/3) Hyperbolic Matrix(1719,1360,656,519) (-19/24,-15/19) -> (55/21,21/8) Hyperbolic Matrix(559,440,-916,-721) (-15/19,-11/14) -> (-11/18,-25/41) Hyperbolic Matrix(919,720,-1584,-1241) (-11/14,-18/23) -> (-18/31,-29/50) Hyperbolic Matrix(1279,1000,408,319) (-18/23,-43/55) -> (3/1,22/7) Hyperbolic Matrix(4401,3440,2560,2001) (-43/55,-25/32) -> (55/32,43/25) Hyperbolic Matrix(359,280,-668,-521) (-25/32,-7/9) -> (-7/13,-15/28) Hyperbolic Matrix(361,280,156,121) (-7/9,-17/22) -> (23/10,7/3) Hyperbolic Matrix(519,400,-676,-521) (-17/22,-10/13) -> (-10/13,-23/30) Parabolic Matrix(679,520,1200,919) (-23/30,-13/17) -> (13/23,17/30) Hyperbolic Matrix(839,640,156,119) (-13/17,-16/21) -> (16/3,27/5) Hyperbolic Matrix(1999,1520,1156,879) (-16/21,-19/25) -> (19/11,64/37) Hyperbolic Matrix(1319,1000,368,279) (-19/25,-3/4) -> (43/12,61/17) Hyperbolic Matrix(1239,920,268,199) (-3/4,-20/27) -> (60/13,37/8) Hyperbolic Matrix(599,440,-1036,-761) (-14/19,-11/15) -> (-11/19,-26/45) Hyperbolic Matrix(601,440,56,41) (-41/56,-30/41) -> (10/1,1/0) Hyperbolic Matrix(2079,1520,-3284,-2401) (-30/41,-19/26) -> (-19/30,-50/79) Hyperbolic Matrix(439,320,712,519) (-19/26,-8/11) -> (8/13,21/34) Hyperbolic Matrix(1879,1360,496,359) (-21/29,-34/47) -> (34/9,19/5) Hyperbolic Matrix(721,520,556,401) (-13/18,-18/25) -> (22/17,13/10) Hyperbolic Matrix(279,200,-392,-281) (-18/25,-5/7) -> (-5/7,-22/31) Parabolic Matrix(7839,5560,2480,1759) (-61/86,-100/141) -> (60/19,19/6) Hyperbolic Matrix(961,680,1132,801) (-17/24,-29/41) -> (11/13,17/20) Hyperbolic Matrix(4879,3440,3516,2479) (-12/17,-43/61) -> (43/31,68/49) Hyperbolic Matrix(2441,1720,1080,761) (-43/61,-31/44) -> (9/4,43/19) Hyperbolic Matrix(2159,1520,-3524,-2481) (-31/44,-19/27) -> (-19/31,-49/80) Hyperbolic Matrix(1481,1040,628,441) (-26/37,-7/10) -> (33/14,26/11) Hyperbolic Matrix(401,280,116,81) (-7/10,-16/23) -> (24/7,7/2) Hyperbolic Matrix(2481,1720,1040,721) (-34/49,-9/13) -> (31/13,74/31) Hyperbolic Matrix(1161,800,640,441) (-20/29,-11/16) -> (29/16,20/11) Hyperbolic Matrix(759,520,524,359) (-11/16,-13/19) -> (13/9,29/20) Hyperbolic Matrix(3441,2240,616,401) (-28/43,-13/20) -> (67/12,28/5) Hyperbolic Matrix(801,520,248,161) (-13/20,-11/17) -> (29/9,13/4) Hyperbolic Matrix(1241,800,560,361) (-20/31,-9/14) -> (31/14,20/9) Hyperbolic Matrix(2679,1720,1556,999) (-9/14,-34/53) -> (74/43,31/18) Hyperbolic Matrix(2559,1640,3244,2079) (-25/39,-41/64) -> (41/52,15/19) Hyperbolic Matrix(439,280,312,199) (-16/25,-7/11) -> (7/5,24/17) Hyperbolic Matrix(1639,1040,944,599) (-7/11,-26/41) -> (26/15,33/19) Hyperbolic Matrix(1199,760,2144,1359) (-26/41,-19/30) -> (19/34,14/25) Hyperbolic Matrix(1201,760,128,81) (-50/79,-31/49) -> (9/1,10/1) Hyperbolic Matrix(2719,1720,1516,959) (-31/49,-43/68) -> (43/24,9/5) Hyperbolic Matrix(5441,3440,1520,961) (-43/68,-12/19) -> (68/19,43/12) Hyperbolic Matrix(2281,1440,952,601) (-12/19,-53/84) -> (67/28,12/5) Hyperbolic Matrix(10399,6560,5832,3679) (-53/84,-41/65) -> (41/23,107/60) Hyperbolic Matrix(5519,3480,3424,2159) (-41/65,-29/46) -> (29/18,79/49) Hyperbolic Matrix(319,200,-512,-321) (-17/27,-5/8) -> (-5/8,-23/37) Parabolic Matrix(21959,13640,6116,3799) (-41/66,-100/161) -> (140/39,79/22) Hyperbolic Matrix(839,520,192,119) (-18/29,-13/21) -> (13/3,22/5) Hyperbolic Matrix(841,520,972,601) (-13/21,-34/55) -> (6/7,13/15) Hyperbolic Matrix(2201,1360,1620,1001) (-34/55,-21/34) -> (19/14,34/25) Hyperbolic Matrix(519,320,712,439) (-21/34,-8/13) -> (8/11,19/26) Hyperbolic Matrix(1241,760,1112,681) (-49/80,-30/49) -> (10/9,9/8) Hyperbolic Matrix(719,440,652,399) (-30/49,-41/67) -> (1/1,10/9) Hyperbolic Matrix(1439,880,260,159) (-41/67,-11/18) -> (11/2,39/7) Hyperbolic Matrix(5841,3560,1708,1041) (-25/41,-39/64) -> (41/12,65/19) Hyperbolic Matrix(4401,2680,1184,721) (-53/87,-14/23) -> (26/7,93/25) Hyperbolic Matrix(921,560,1120,681) (-14/23,-17/28) -> (23/28,14/17) Hyperbolic Matrix(1319,800,460,279) (-17/28,-20/33) -> (20/7,23/8) Hyperbolic Matrix(1681,1000,1212,721) (-3/5,-19/32) -> (61/44,43/31) Hyperbolic Matrix(879,520,404,239) (-16/27,-13/22) -> (13/6,24/11) Hyperbolic Matrix(679,400,-1156,-681) (-13/22,-10/17) -> (-10/17,-27/46) Parabolic Matrix(479,280,272,159) (-17/29,-7/12) -> (7/4,23/13) Hyperbolic Matrix(4401,2560,3440,2001) (-32/55,-25/43) -> (55/43,32/25) Hyperbolic Matrix(5919,3440,2476,1439) (-25/43,-43/74) -> (43/18,55/23) Hyperbolic Matrix(1721,1000,1172,681) (-43/74,-18/31) -> (22/15,3/2) Hyperbolic Matrix(5519,3200,1516,879) (-29/50,-40/69) -> (40/11,51/14) Hyperbolic Matrix(4639,2680,1660,959) (-26/45,-67/116) -> (67/24,14/5) Hyperbolic Matrix(9281,5360,1664,961) (-67/116,-41/71) -> (39/7,67/12) Hyperbolic Matrix(2361,1360,1460,841) (-15/26,-19/33) -> (21/13,55/34) Hyperbolic Matrix(279,160,68,39) (-19/33,-4/7) -> (4/1,21/5) Hyperbolic Matrix(281,160,72,41) (-4/7,-17/30) -> (23/6,4/1) Hyperbolic Matrix(1201,680,1556,881) (-17/30,-13/23) -> (27/35,17/22) Hyperbolic Matrix(921,520,356,201) (-13/23,-9/16) -> (31/12,13/5) Hyperbolic Matrix(1639,920,212,119) (-32/57,-23/41) -> (23/3,8/1) Hyperbolic Matrix(1359,760,2144,1199) (-14/25,-19/34) -> (19/30,26/41) Hyperbolic Matrix(359,200,-648,-361) (-19/34,-5/9) -> (-5/9,-21/38) Parabolic Matrix(1161,640,800,441) (-16/29,-11/20) -> (29/20,16/11) Hyperbolic Matrix(439,240,364,199) (-17/31,-6/11) -> (6/5,23/19) Hyperbolic Matrix(1479,800,220,119) (-13/24,-20/37) -> (20/3,27/4) Hyperbolic Matrix(1721,920,376,201) (-15/28,-8/15) -> (32/7,55/12) Hyperbolic Matrix(679,360,828,439) (-8/15,-9/17) -> (9/11,32/39) Hyperbolic Matrix(1439,760,604,319) (-9/17,-1/2) -> (81/34,31/13) Hyperbolic Matrix(1,0,4,1) (-1/2,0/1) -> (0/1,1/2) Parabolic Matrix(521,-280,668,-359) (8/15,7/13) -> (7/9,32/41) Hyperbolic Matrix(959,-520,592,-321) (7/13,6/11) -> (34/21,47/29) Hyperbolic Matrix(1239,-680,512,-281) (6/11,11/20) -> (29/12,46/19) Hyperbolic Matrix(1159,-640,364,-201) (16/29,5/9) -> (35/11,16/5) Hyperbolic Matrix(1361,-760,428,-239) (5/9,19/34) -> (19/6,35/11) Hyperbolic Matrix(999,-560,644,-361) (14/25,9/16) -> (31/20,14/9) Hyperbolic Matrix(761,-440,1036,-599) (15/26,11/19) -> (11/15,25/34) Hyperbolic Matrix(1241,-720,1584,-919) (11/19,18/31) -> (18/23,29/37) Hyperbolic Matrix(481,-280,548,-319) (25/43,7/12) -> (7/8,15/17) Hyperbolic Matrix(1159,-680,888,-521) (17/29,10/17) -> (30/23,17/13) Hyperbolic Matrix(881,-520,676,-399) (10/17,13/22) -> (13/10,30/23) Hyperbolic Matrix(1079,-640,204,-121) (16/27,3/5) -> (37/7,16/3) Hyperbolic Matrix(199,-120,68,-41) (3/5,17/28) -> (23/8,3/1) Hyperbolic Matrix(721,-440,916,-559) (14/23,11/18) -> (11/14,26/33) Hyperbolic Matrix(521,-320,324,-199) (11/18,8/13) -> (8/5,29/18) Hyperbolic Matrix(321,-200,512,-319) (18/29,5/8) -> (5/8,22/35) Parabolic Matrix(2479,-1560,1400,-881) (22/35,17/27) -> (23/13,62/35) Hyperbolic Matrix(1079,-680,192,-121) (17/27,12/19) -> (28/5,17/3) Hyperbolic Matrix(2401,-1520,3284,-2079) (31/49,19/30) -> (19/26,49/67) Hyperbolic Matrix(2561,-1640,748,-479) (16/25,25/39) -> (65/19,24/7) Hyperbolic Matrix(4241,-2720,1620,-1039) (25/39,9/14) -> (89/34,55/21) Hyperbolic Matrix(681,-440,308,-199) (9/14,11/17) -> (11/5,31/14) Hyperbolic Matrix(2641,-1720,1104,-719) (13/20,15/23) -> (55/23,67/28) Hyperbolic Matrix(1161,-760,304,-199) (15/23,2/3) -> (42/11,65/17) Hyperbolic Matrix(881,-600,116,-79) (2/3,15/22) -> (15/2,38/5) Hyperbolic Matrix(2401,-1640,1404,-959) (15/22,13/19) -> (53/31,65/38) Hyperbolic Matrix(521,-360,288,-199) (11/16,9/13) -> (9/5,29/16) Hyperbolic Matrix(1959,-1360,520,-361) (9/13,25/36) -> (15/4,49/13) Hyperbolic Matrix(2361,-1640,632,-439) (25/36,16/23) -> (56/15,15/4) Hyperbolic Matrix(1081,-760,852,-599) (7/10,19/27) -> (19/15,33/26) Hyperbolic Matrix(2841,-2000,1760,-1239) (19/27,31/44) -> (71/44,21/13) Hyperbolic Matrix(2319,-1640,1472,-1041) (12/17,29/41) -> (11/7,52/33) Hyperbolic Matrix(281,-200,392,-279) (17/24,5/7) -> (5/7,23/32) Parabolic Matrix(2281,-1640,1612,-1159) (23/32,18/25) -> (58/41,17/12) Hyperbolic Matrix(441,-320,164,-119) (13/18,8/11) -> (8/3,27/10) Hyperbolic Matrix(2239,-1640,1312,-961) (30/41,11/15) -> (29/17,70/41) Hyperbolic Matrix(2719,-2000,1524,-1121) (25/34,14/19) -> (66/37,25/14) Hyperbolic Matrix(759,-560,164,-121) (14/19,3/4) -> (37/8,14/3) Hyperbolic Matrix(521,-400,676,-519) (13/17,10/13) -> (10/13,27/35) Parabolic Matrix(2041,-1600,560,-439) (29/37,11/14) -> (51/14,11/3) Hyperbolic Matrix(6241,-4920,3652,-2879) (26/33,41/52) -> (41/24,94/55) Hyperbolic Matrix(839,-680,248,-201) (4/5,13/16) -> (27/8,44/13) Hyperbolic Matrix(921,-760,532,-439) (14/17,5/6) -> (45/26,26/15) Hyperbolic Matrix(1239,-1040,716,-601) (5/6,16/19) -> (64/37,45/26) Hyperbolic Matrix(599,-520,508,-441) (13/15,7/8) -> (33/28,13/11) Hyperbolic Matrix(401,-360,88,-79) (8/9,1/1) -> (41/9,32/7) Hyperbolic Matrix(601,-680,388,-439) (9/8,8/7) -> (48/31,31/20) Hyperbolic Matrix(241,-280,68,-79) (8/7,7/6) -> (7/2,32/9) Hyperbolic Matrix(359,-440,164,-201) (11/9,16/13) -> (24/11,11/5) Hyperbolic Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(2159,-2760,564,-721) (23/18,55/43) -> (65/17,23/6) Hyperbolic Matrix(959,-1240,372,-481) (9/7,22/17) -> (18/7,49/19) Hyperbolic Matrix(1161,-1520,152,-199) (17/13,38/29) -> (38/5,23/3) Hyperbolic Matrix(2441,-3200,640,-839) (38/29,21/16) -> (61/16,42/11) Hyperbolic Matrix(2361,-3200,560,-759) (42/31,19/14) -> (59/14,38/9) Hyperbolic Matrix(321,-440,116,-159) (15/11,11/8) -> (11/4,25/9) Hyperbolic Matrix(521,-720,144,-199) (11/8,18/13) -> (18/5,29/8) Hyperbolic Matrix(3401,-4720,1988,-2759) (68/49,25/18) -> (65/38,12/7) Hyperbolic Matrix(201,-280,28,-39) (25/18,7/5) -> (7/1,15/2) Hyperbolic Matrix(2319,-3280,736,-1041) (41/29,58/41) -> (22/7,41/13) Hyperbolic Matrix(281,-400,196,-279) (17/12,10/7) -> (10/7,23/16) Parabolic Matrix(959,-1480,208,-321) (20/13,17/11) -> (23/5,60/13) Hyperbolic Matrix(281,-440,76,-119) (14/9,11/7) -> (11/3,26/7) Hyperbolic Matrix(3679,-5800,1320,-2081) (52/33,41/26) -> (39/14,92/33) Hyperbolic Matrix(2839,-4480,1192,-1881) (41/26,30/19) -> (50/21,81/34) Hyperbolic Matrix(961,-1520,404,-639) (30/19,19/12) -> (19/8,50/21) Hyperbolic Matrix(839,-1360,124,-201) (47/29,13/8) -> (27/4,7/1) Hyperbolic Matrix(759,-1240,172,-281) (31/19,18/11) -> (22/5,31/7) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(3799,-6440,1204,-2041) (100/59,39/23) -> (41/13,60/19) Hyperbolic Matrix(4161,-7160,2324,-3999) (43/25,74/43) -> (34/19,77/43) Hyperbolic Matrix(881,-1520,324,-559) (31/18,19/11) -> (19/7,49/18) Hyperbolic Matrix(3161,-5600,880,-1559) (62/35,39/22) -> (79/22,18/5) Hyperbolic Matrix(239,-440,44,-81) (11/6,13/7) -> (27/5,11/2) Hyperbolic Matrix(1439,-2680,516,-961) (13/7,28/15) -> (92/33,53/19) Hyperbolic Matrix(3161,-7160,1324,-2999) (43/19,34/15) -> (74/31,117/49) Hyperbolic Matrix(1239,-2840,332,-761) (16/7,39/17) -> (41/11,56/15) Hyperbolic Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(5599,-14360,1560,-4001) (100/39,59/23) -> (61/17,140/39) Hyperbolic Matrix(281,-760,44,-119) (27/10,19/7) -> (19/3,13/2) Hyperbolic Matrix(1321,-3600,484,-1319) (49/18,30/11) -> (30/11,71/26) Parabolic Matrix(121,-400,36,-119) (13/4,10/3) -> (10/3,27/8) Parabolic Matrix(41,-200,8,-39) (19/4,5/1) -> (5/1,21/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(41,480,24,281) -> Matrix(1,0,0,1) Matrix(79,760,108,1039) -> Matrix(3,2,-2,-1) Matrix(41,360,32,281) -> Matrix(1,0,0,1) Matrix(39,280,-28,-201) -> Matrix(1,2,-2,-3) Matrix(41,280,-76,-519) -> Matrix(1,2,-2,-3) Matrix(79,520,12,79) -> Matrix(3,2,-2,-1) Matrix(81,520,-112,-719) -> Matrix(1,0,0,1) Matrix(41,240,48,281) -> Matrix(1,0,2,1) Matrix(321,1840,56,321) -> Matrix(1,0,4,1) Matrix(281,1600,232,1321) -> Matrix(5,-2,-2,1) Matrix(121,680,-192,-1079) -> Matrix(1,2,-2,-3) Matrix(81,440,-44,-239) -> Matrix(1,0,0,1) Matrix(39,200,-8,-41) -> Matrix(1,2,-2,-3) Matrix(159,760,-268,-1281) -> Matrix(1,0,0,1) Matrix(161,760,68,321) -> Matrix(1,0,2,1) Matrix(121,560,-164,-759) -> Matrix(1,0,0,1) Matrix(279,1280,148,679) -> Matrix(3,2,-2,-1) Matrix(559,2560,716,3279) -> Matrix(1,0,2,1) Matrix(79,360,-88,-401) -> Matrix(1,0,0,1) Matrix(281,1240,-172,-759) -> Matrix(3,-2,-4,3) Matrix(119,520,192,839) -> Matrix(1,0,0,1) Matrix(121,520,84,361) -> Matrix(1,2,-2,-3) Matrix(161,680,76,321) -> Matrix(1,0,0,1) Matrix(759,3200,-560,-2361) -> Matrix(1,0,0,1) Matrix(39,160,68,279) -> Matrix(1,0,0,1) Matrix(41,160,72,281) -> Matrix(3,2,-2,-1) Matrix(199,760,-304,-1161) -> Matrix(1,0,0,1) Matrix(839,3200,-640,-2441) -> Matrix(1,0,0,1) Matrix(201,760,32,121) -> Matrix(1,0,0,1) Matrix(361,1360,-520,-1959) -> Matrix(1,0,0,1) Matrix(119,440,-76,-281) -> Matrix(1,0,0,1) Matrix(199,720,-144,-521) -> Matrix(3,-2,-4,3) Matrix(601,2160,-968,-3479) -> Matrix(1,0,-2,1) Matrix(279,1000,368,1319) -> Matrix(1,0,0,1) Matrix(961,3440,1520,5441) -> Matrix(1,-2,0,1) Matrix(481,1720,224,801) -> Matrix(1,0,0,1) Matrix(79,280,-68,-241) -> Matrix(1,0,-2,1) Matrix(81,280,116,401) -> Matrix(1,2,-2,-3) Matrix(479,1640,-748,-2561) -> Matrix(3,4,-4,-5) Matrix(481,1640,188,641) -> Matrix(3,4,-4,-5) Matrix(119,400,-36,-121) -> Matrix(5,6,-6,-7) Matrix(159,520,-196,-641) -> Matrix(3,2,-2,-1) Matrix(161,520,248,801) -> Matrix(3,2,-2,-1) Matrix(199,640,236,759) -> Matrix(3,2,4,3) Matrix(201,640,-364,-1159) -> Matrix(7,4,-16,-9) Matrix(559,1760,-788,-2481) -> Matrix(5,2,2,1) Matrix(319,1000,408,1279) -> Matrix(1,0,2,1) Matrix(41,120,-68,-199) -> Matrix(1,2,-2,-3) Matrix(239,680,84,239) -> Matrix(7,6,-6,-5) Matrix(199,560,156,439) -> Matrix(3,2,-2,-1) Matrix(159,440,-116,-321) -> Matrix(5,2,-8,-3) Matrix(599,1640,248,679) -> Matrix(3,2,-2,-1) Matrix(1641,4480,-952,-2599) -> Matrix(1,0,2,1) Matrix(559,1520,-324,-881) -> Matrix(1,0,0,1) Matrix(119,320,-164,-441) -> Matrix(1,0,0,1) Matrix(121,320,76,201) -> Matrix(1,-2,0,1) Matrix(519,1360,656,1719) -> Matrix(1,2,0,1) Matrix(1039,2720,-1620,-4241) -> Matrix(1,2,-2,-3) Matrix(199,520,168,439) -> Matrix(1,-2,0,1) Matrix(201,520,356,921) -> Matrix(1,0,0,1) Matrix(481,1240,-372,-959) -> Matrix(1,2,-4,-7) Matrix(79,200,-32,-81) -> Matrix(3,4,-4,-5) Matrix(721,1760,492,1201) -> Matrix(3,2,-2,-1) Matrix(4919,12000,-7920,-19321) -> Matrix(3,2,-8,-5) Matrix(3281,8000,1280,3121) -> Matrix(1,0,0,1) Matrix(559,1360,164,399) -> Matrix(1,0,0,1) Matrix(281,680,-512,-1239) -> Matrix(3,2,-8,-5) Matrix(679,1640,248,599) -> Matrix(3,2,-2,-1) Matrix(2041,4920,548,1321) -> Matrix(3,2,-2,-1) Matrix(681,1640,316,761) -> Matrix(3,2,-2,-1) Matrix(719,1720,-1104,-2641) -> Matrix(1,0,0,1) Matrix(1439,3440,2476,5919) -> Matrix(3,2,4,3) Matrix(2999,7160,-1324,-3161) -> Matrix(19,12,-8,-5) Matrix(1961,4680,520,1241) -> Matrix(3,2,-8,-5) Matrix(639,1520,-404,-961) -> Matrix(9,4,-16,-7) Matrix(321,760,68,161) -> Matrix(1,0,2,1) Matrix(559,1320,440,1039) -> Matrix(1,0,2,1) Matrix(1121,2640,476,1121) -> Matrix(1,0,6,1) Matrix(681,1600,392,921) -> Matrix(1,0,-2,1) Matrix(121,280,156,361) -> Matrix(1,0,2,1) Matrix(679,1560,400,919) -> Matrix(1,0,-2,1) Matrix(559,1280,-804,-1841) -> Matrix(1,0,0,1) Matrix(561,1280,316,721) -> Matrix(1,-2,0,1) Matrix(879,2000,316,719) -> Matrix(1,-2,0,1) Matrix(599,1360,440,999) -> Matrix(1,2,0,1) Matrix(7719,17480,3232,7319) -> Matrix(11,24,-6,-13) Matrix(6361,14400,3552,8041) -> Matrix(13,24,-6,-11) Matrix(761,1720,1080,2441) -> Matrix(1,2,-2,-3) Matrix(161,360,72,161) -> Matrix(3,4,-4,-5) Matrix(199,440,-308,-681) -> Matrix(5,4,-4,-3) Matrix(201,440,-164,-359) -> Matrix(1,0,0,1) Matrix(761,1640,316,681) -> Matrix(3,2,-2,-1) Matrix(801,1720,224,481) -> Matrix(1,0,0,1) Matrix(599,1280,168,359) -> Matrix(1,0,-2,1) Matrix(321,680,76,161) -> Matrix(1,0,0,1) Matrix(401,760,296,561) -> Matrix(3,2,-2,-1) Matrix(679,1280,148,279) -> Matrix(3,2,-2,-1) Matrix(921,1720,536,1001) -> Matrix(1,0,0,1) Matrix(879,1640,-1244,-2321) -> Matrix(3,2,-2,-1) Matrix(281,520,368,681) -> Matrix(1,0,0,1) Matrix(241,440,132,241) -> Matrix(1,2,-2,-3) Matrix(199,360,-288,-521) -> Matrix(5,4,-4,-3) Matrix(959,1720,1516,2719) -> Matrix(5,4,-4,-3) Matrix(3999,7160,-2324,-4161) -> Matrix(3,2,-8,-5) Matrix(1521,2720,940,1681) -> Matrix(5,4,-4,-3) Matrix(919,1640,-1592,-2841) -> Matrix(3,2,-8,-5) Matrix(921,1640,652,1161) -> Matrix(5,4,-4,-3) Matrix(721,1280,316,561) -> Matrix(3,2,-8,-5) Matrix(1039,1840,-1672,-2961) -> Matrix(3,2,-8,-5) Matrix(159,280,272,479) -> Matrix(1,0,2,1) Matrix(321,560,184,321) -> Matrix(1,0,2,1) Matrix(921,1600,392,681) -> Matrix(1,0,-2,1) Matrix(599,1040,944,1639) -> Matrix(1,-2,0,1) Matrix(439,760,-532,-921) -> Matrix(1,0,0,1) Matrix(1161,2000,256,441) -> Matrix(1,0,0,1) Matrix(4439,7640,1696,2919) -> Matrix(1,0,0,1) Matrix(12159,20920,6788,11679) -> Matrix(15,2,-8,-1) Matrix(14881,25600,6232,10721) -> Matrix(13,-2,-6,1) Matrix(2001,3440,2560,4401) -> Matrix(1,0,0,1) Matrix(1001,1720,536,921) -> Matrix(1,0,0,1) Matrix(959,1640,-1404,-2401) -> Matrix(1,0,0,1) Matrix(2481,4240,-4072,-6959) -> Matrix(1,0,0,1) Matrix(961,1640,-1312,-2239) -> Matrix(1,0,0,1) Matrix(399,680,328,559) -> Matrix(3,2,-2,-1) Matrix(119,200,-72,-121) -> Matrix(3,4,-4,-5) Matrix(1121,1840,488,801) -> Matrix(5,4,-14,-11) Matrix(4879,8000,-6880,-11281) -> Matrix(29,22,-4,-3) Matrix(7321,12000,4320,7081) -> Matrix(43,32,-82,-61) Matrix(1319,2160,952,1559) -> Matrix(17,12,-10,-7) Matrix(1641,2680,368,601) -> Matrix(3,2,10,7) Matrix(3921,6400,1520,2481) -> Matrix(25,16,-36,-23) Matrix(319,520,392,639) -> Matrix(3,2,-2,-1) Matrix(321,520,-592,-959) -> Matrix(3,2,-2,-1) Matrix(1681,2720,940,1521) -> Matrix(5,4,-4,-3) Matrix(841,1360,1460,2361) -> Matrix(3,2,-2,-1) Matrix(199,320,-324,-521) -> Matrix(3,2,-2,-1) Matrix(201,320,76,121) -> Matrix(3,2,-8,-5) Matrix(2279,3600,-1444,-2281) -> Matrix(31,16,-64,-33) Matrix(279,440,532,839) -> Matrix(9,4,2,1) Matrix(1041,1640,-1472,-2319) -> Matrix(5,2,2,1) Matrix(1281,2000,-1844,-2879) -> Matrix(3,2,-2,-1) Matrix(2719,4240,1128,1759) -> Matrix(3,2,-2,-1) Matrix(10599,16520,2848,4439) -> Matrix(1,0,2,1) Matrix(9241,14400,3312,5161) -> Matrix(1,-2,0,1) Matrix(4519,7040,2644,4119) -> Matrix(1,0,0,1) Matrix(361,560,-644,-999) -> Matrix(5,2,-8,-3) Matrix(441,680,-596,-919) -> Matrix(1,0,0,1) Matrix(79,120,52,79) -> Matrix(3,2,-2,-1) Matrix(681,1000,1172,1721) -> Matrix(1,0,2,1) Matrix(1119,1640,436,639) -> Matrix(1,2,-2,-3) Matrix(521,760,412,601) -> Matrix(1,0,0,1) Matrix(441,640,800,1161) -> Matrix(1,2,0,1) Matrix(359,520,524,759) -> Matrix(1,0,0,1) Matrix(279,400,-196,-281) -> Matrix(5,6,-6,-7) Matrix(479,680,112,159) -> Matrix(5,4,-4,-3) Matrix(961,1360,-1356,-1919) -> Matrix(5,4,-4,-3) Matrix(1161,1640,652,921) -> Matrix(5,4,-4,-3) Matrix(199,280,312,439) -> Matrix(5,4,-4,-3) Matrix(2359,3280,1524,2119) -> Matrix(3,2,-2,-1) Matrix(921,1280,-1352,-1879) -> Matrix(1,0,0,1) Matrix(1239,1720,-1816,-2521) -> Matrix(5,4,-4,-3) Matrix(2479,3440,3516,4879) -> Matrix(5,4,-4,-3) Matrix(2279,3160,432,599) -> Matrix(5,4,-14,-11) Matrix(1761,2440,1040,1441) -> Matrix(11,8,-18,-13) Matrix(1159,1600,-2000,-2761) -> Matrix(3,2,10,7) Matrix(1161,1600,320,441) -> Matrix(3,2,-20,-13) Matrix(6521,8920,3656,5001) -> Matrix(11,6,-2,-1) Matrix(15999,21880,5732,7839) -> Matrix(17,10,-12,-7) Matrix(18721,25600,5032,6881) -> Matrix(7,4,-16,-9) Matrix(3599,4920,-5092,-6961) -> Matrix(11,6,-2,-1) Matrix(1201,1640,528,721) -> Matrix(7,4,-16,-9) Matrix(999,1360,440,599) -> Matrix(5,2,-8,-3) Matrix(1001,1360,1620,2201) -> Matrix(1,0,2,1) Matrix(4601,6240,1092,1481) -> Matrix(1,0,2,1) Matrix(4721,6400,1240,1681) -> Matrix(1,0,0,1) Matrix(561,760,296,401) -> Matrix(3,2,-2,-1) Matrix(799,1080,236,319) -> Matrix(1,2,-2,-3) Matrix(121,160,152,201) -> Matrix(1,0,2,1) Matrix(5001,6560,1312,1721) -> Matrix(1,0,2,1) Matrix(4881,6400,1160,1521) -> Matrix(1,0,0,1) Matrix(519,680,-764,-1001) -> Matrix(1,0,0,1) Matrix(521,680,-888,-1159) -> Matrix(7,4,-16,-9) Matrix(401,520,556,721) -> Matrix(1,0,2,1) Matrix(2881,3720,1116,1441) -> Matrix(13,2,-20,-3) Matrix(1241,1600,280,361) -> Matrix(1,0,-4,1) Matrix(281,360,32,41) -> Matrix(1,0,0,1) Matrix(719,920,812,1039) -> Matrix(1,0,0,1) Matrix(1001,1280,-1532,-1959) -> Matrix(1,0,0,1) Matrix(439,560,156,199) -> Matrix(3,2,-2,-1) Matrix(599,760,-852,-1081) -> Matrix(1,0,0,1) Matrix(159,200,-128,-161) -> Matrix(1,2,-2,-3) Matrix(519,640,356,439) -> Matrix(3,2,-2,-1) Matrix(521,640,880,1081) -> Matrix(7,4,-2,-1) Matrix(559,680,328,399) -> Matrix(3,2,-2,-1) Matrix(1121,1360,924,1121) -> Matrix(17,12,-10,-7) Matrix(1321,1600,232,281) -> Matrix(3,2,-14,-9) Matrix(959,1160,396,479) -> Matrix(7,4,-2,-1) Matrix(439,520,168,199) -> Matrix(3,2,-8,-5) Matrix(441,520,-508,-599) -> Matrix(15,8,-32,-17) Matrix(239,280,204,239) -> Matrix(5,2,2,1) Matrix(521,600,244,281) -> Matrix(1,0,0,1) Matrix(801,920,976,1121) -> Matrix(3,2,-2,-1) Matrix(319,360,-568,-641) -> Matrix(5,2,-8,-3) Matrix(1039,1160,644,719) -> Matrix(3,2,-2,-1) Matrix(761,840,472,521) -> Matrix(5,4,-4,-3) Matrix(481,440,176,161) -> Matrix(1,0,2,1) Matrix(319,280,-548,-481) -> Matrix(3,2,-8,-5) Matrix(919,800,780,679) -> Matrix(23,12,-2,-1) Matrix(601,520,972,841) -> Matrix(5,2,2,1) Matrix(281,240,48,41) -> Matrix(1,0,2,1) Matrix(801,680,1132,961) -> Matrix(1,0,0,1) Matrix(759,640,236,199) -> Matrix(7,2,-4,-1) Matrix(239,200,-288,-241) -> Matrix(1,0,2,1) Matrix(919,760,1208,999) -> Matrix(1,0,0,1) Matrix(681,560,1120,921) -> Matrix(1,0,0,1) Matrix(3119,2560,876,719) -> Matrix(3,2,-8,-5) Matrix(439,360,828,679) -> Matrix(7,4,-2,-1) Matrix(639,520,392,319) -> Matrix(3,2,-2,-1) Matrix(199,160,148,119) -> Matrix(3,2,-2,-1) Matrix(201,160,152,121) -> Matrix(1,0,2,1) Matrix(1719,1360,656,519) -> Matrix(5,2,-8,-3) Matrix(559,440,-916,-721) -> Matrix(1,0,2,1) Matrix(919,720,-1584,-1241) -> Matrix(1,0,-2,1) Matrix(1279,1000,408,319) -> Matrix(1,0,2,1) Matrix(4401,3440,2560,2001) -> Matrix(1,0,0,1) Matrix(359,280,-668,-521) -> Matrix(5,2,-8,-3) Matrix(361,280,156,121) -> Matrix(1,0,2,1) Matrix(519,400,-676,-521) -> Matrix(1,0,6,1) Matrix(679,520,1200,919) -> Matrix(1,-2,0,1) Matrix(839,640,156,119) -> Matrix(1,0,0,1) Matrix(1999,1520,1156,879) -> Matrix(1,0,0,1) Matrix(1319,1000,368,279) -> Matrix(1,0,0,1) Matrix(1239,920,268,199) -> Matrix(1,0,0,1) Matrix(599,440,-1036,-761) -> Matrix(1,0,0,1) Matrix(601,440,56,41) -> Matrix(1,0,0,1) Matrix(2079,1520,-3284,-2401) -> Matrix(1,0,0,1) Matrix(439,320,712,519) -> Matrix(1,0,2,1) Matrix(1879,1360,496,359) -> Matrix(1,0,0,1) Matrix(721,520,556,401) -> Matrix(1,0,2,1) Matrix(279,200,-392,-281) -> Matrix(1,0,2,1) Matrix(7839,5560,2480,1759) -> Matrix(1,-8,0,1) Matrix(961,680,1132,801) -> Matrix(1,0,0,1) Matrix(4879,3440,3516,2479) -> Matrix(5,4,-4,-3) Matrix(2441,1720,1080,761) -> Matrix(1,2,-2,-3) Matrix(2159,1520,-3524,-2481) -> Matrix(1,0,0,1) Matrix(1481,1040,628,441) -> Matrix(1,0,2,1) Matrix(401,280,116,81) -> Matrix(1,2,-2,-3) Matrix(2481,1720,1040,721) -> Matrix(1,-2,0,1) Matrix(1161,800,640,441) -> Matrix(9,8,-8,-7) Matrix(759,520,524,359) -> Matrix(1,0,0,1) Matrix(3441,2240,616,401) -> Matrix(1,0,0,1) Matrix(801,520,248,161) -> Matrix(3,2,-2,-1) Matrix(1241,800,560,361) -> Matrix(11,10,-10,-9) Matrix(2679,1720,1556,999) -> Matrix(3,2,-2,-1) Matrix(2559,1640,3244,2079) -> Matrix(3,2,4,3) Matrix(439,280,312,199) -> Matrix(5,4,-4,-3) Matrix(1639,1040,944,599) -> Matrix(3,2,-8,-5) Matrix(1199,760,2144,1359) -> Matrix(11,6,-2,-1) Matrix(1201,760,128,81) -> Matrix(3,2,-2,-1) Matrix(2719,1720,1516,959) -> Matrix(5,4,-4,-3) Matrix(5441,3440,1520,961) -> Matrix(3,2,-8,-5) Matrix(2281,1440,952,601) -> Matrix(3,2,-2,-1) Matrix(10399,6560,5832,3679) -> Matrix(7,4,-2,-1) Matrix(5519,3480,3424,2159) -> Matrix(5,4,-4,-3) Matrix(319,200,-512,-321) -> Matrix(3,2,-8,-5) Matrix(21959,13640,6116,3799) -> Matrix(5,2,-8,-3) Matrix(839,520,192,119) -> Matrix(1,0,0,1) Matrix(841,520,972,601) -> Matrix(5,2,2,1) Matrix(2201,1360,1620,1001) -> Matrix(1,0,2,1) Matrix(519,320,712,439) -> Matrix(1,0,2,1) Matrix(1241,760,1112,681) -> Matrix(1,0,0,1) Matrix(719,440,652,399) -> Matrix(3,2,-2,-1) Matrix(1439,880,260,159) -> Matrix(1,0,0,1) Matrix(5841,3560,1708,1041) -> Matrix(1,2,-2,-3) Matrix(4401,2680,1184,721) -> Matrix(1,0,0,1) Matrix(921,560,1120,681) -> Matrix(1,0,0,1) Matrix(1319,800,460,279) -> Matrix(5,6,-6,-7) Matrix(1681,1000,1212,721) -> Matrix(17,10,-12,-7) Matrix(879,520,404,239) -> Matrix(7,4,-2,-1) Matrix(679,400,-1156,-681) -> Matrix(15,8,-32,-17) Matrix(479,280,272,159) -> Matrix(1,0,2,1) Matrix(4401,2560,3440,2001) -> Matrix(5,2,-8,-3) Matrix(5919,3440,2476,1439) -> Matrix(7,2,-4,-1) Matrix(1721,1000,1172,681) -> Matrix(1,0,2,1) Matrix(5519,3200,1516,879) -> Matrix(1,0,12,1) Matrix(4639,2680,1660,959) -> Matrix(3,2,-2,-1) Matrix(9281,5360,1664,961) -> Matrix(1,0,0,1) Matrix(2361,1360,1460,841) -> Matrix(3,2,-2,-1) Matrix(279,160,68,39) -> Matrix(1,0,0,1) Matrix(281,160,72,41) -> Matrix(3,2,-2,-1) Matrix(1201,680,1556,881) -> Matrix(3,2,10,7) Matrix(921,520,356,201) -> Matrix(1,0,0,1) Matrix(1639,920,212,119) -> Matrix(3,2,-8,-5) Matrix(1359,760,2144,1199) -> Matrix(11,6,-2,-1) Matrix(359,200,-648,-361) -> Matrix(11,6,-24,-13) Matrix(1161,640,800,441) -> Matrix(5,2,-8,-3) Matrix(439,240,364,199) -> Matrix(3,2,-2,-1) Matrix(1479,800,220,119) -> Matrix(1,2,-2,-3) Matrix(1721,920,376,201) -> Matrix(3,2,-2,-1) Matrix(679,360,828,439) -> Matrix(7,4,-2,-1) Matrix(1439,760,604,319) -> Matrix(15,8,-2,-1) Matrix(1,0,4,1) -> Matrix(1,0,2,1) Matrix(521,-280,668,-359) -> Matrix(1,2,0,1) Matrix(959,-520,592,-321) -> Matrix(3,2,-2,-1) Matrix(1239,-680,512,-281) -> Matrix(1,-2,0,1) Matrix(1159,-640,364,-201) -> Matrix(1,-4,0,1) Matrix(1361,-760,428,-239) -> Matrix(1,2,0,1) Matrix(999,-560,644,-361) -> Matrix(1,2,0,1) Matrix(761,-440,1036,-599) -> Matrix(1,0,0,1) Matrix(1241,-720,1584,-919) -> Matrix(1,0,-2,1) Matrix(481,-280,548,-319) -> Matrix(1,-2,0,1) Matrix(1159,-680,888,-521) -> Matrix(1,-4,0,1) Matrix(881,-520,676,-399) -> Matrix(1,4,0,1) Matrix(1079,-640,204,-121) -> Matrix(1,2,-2,-3) Matrix(199,-120,68,-41) -> Matrix(1,2,-2,-3) Matrix(721,-440,916,-559) -> Matrix(1,0,2,1) Matrix(521,-320,324,-199) -> Matrix(3,2,-2,-1) Matrix(321,-200,512,-319) -> Matrix(1,-2,0,1) Matrix(2479,-1560,1400,-881) -> Matrix(1,0,0,1) Matrix(1079,-680,192,-121) -> Matrix(1,2,-2,-3) Matrix(2401,-1520,3284,-2079) -> Matrix(1,0,0,1) Matrix(2561,-1640,748,-479) -> Matrix(3,4,-4,-5) Matrix(4241,-2720,1620,-1039) -> Matrix(1,2,-2,-3) Matrix(681,-440,308,-199) -> Matrix(5,4,-4,-3) Matrix(2641,-1720,1104,-719) -> Matrix(1,0,0,1) Matrix(1161,-760,304,-199) -> Matrix(1,0,0,1) Matrix(881,-600,116,-79) -> Matrix(1,2,-2,-3) Matrix(2401,-1640,1404,-959) -> Matrix(1,0,0,1) Matrix(521,-360,288,-199) -> Matrix(5,4,-4,-3) Matrix(1959,-1360,520,-361) -> Matrix(1,0,0,1) Matrix(2361,-1640,632,-439) -> Matrix(3,2,-2,-1) Matrix(1081,-760,852,-599) -> Matrix(1,0,0,1) Matrix(2841,-2000,1760,-1239) -> Matrix(3,2,-2,-1) Matrix(2319,-1640,1472,-1041) -> Matrix(5,2,2,1) Matrix(281,-200,392,-279) -> Matrix(1,0,2,1) Matrix(2281,-1640,1612,-1159) -> Matrix(3,-4,-2,3) Matrix(441,-320,164,-119) -> Matrix(1,0,0,1) Matrix(2239,-1640,1312,-961) -> Matrix(1,0,0,1) Matrix(2719,-2000,1524,-1121) -> Matrix(1,-2,0,1) Matrix(759,-560,164,-121) -> Matrix(1,0,0,1) Matrix(521,-400,676,-519) -> Matrix(1,0,6,1) Matrix(2041,-1600,560,-439) -> Matrix(1,0,4,1) Matrix(6241,-4920,3652,-2879) -> Matrix(1,0,-2,1) Matrix(839,-680,248,-201) -> Matrix(3,4,-4,-5) Matrix(921,-760,532,-439) -> Matrix(1,0,0,1) Matrix(1239,-1040,716,-601) -> Matrix(1,0,-2,1) Matrix(599,-520,508,-441) -> Matrix(1,-8,0,1) Matrix(401,-360,88,-79) -> Matrix(1,0,0,1) Matrix(601,-680,388,-439) -> Matrix(1,0,0,1) Matrix(241,-280,68,-79) -> Matrix(1,0,-2,1) Matrix(359,-440,164,-201) -> Matrix(1,0,0,1) Matrix(161,-200,128,-159) -> Matrix(1,2,-2,-3) Matrix(2159,-2760,564,-721) -> Matrix(1,0,0,1) Matrix(959,-1240,372,-481) -> Matrix(3,-2,-4,3) Matrix(1161,-1520,152,-199) -> Matrix(1,2,-2,-3) Matrix(2441,-3200,640,-839) -> Matrix(1,0,0,1) Matrix(2361,-3200,560,-759) -> Matrix(1,0,0,1) Matrix(321,-440,116,-159) -> Matrix(1,2,0,1) Matrix(521,-720,144,-199) -> Matrix(1,2,-4,-7) Matrix(3401,-4720,1988,-2759) -> Matrix(3,4,-4,-5) Matrix(201,-280,28,-39) -> Matrix(1,2,-2,-3) Matrix(2319,-3280,736,-1041) -> Matrix(7,10,2,3) Matrix(281,-400,196,-279) -> Matrix(5,6,-6,-7) Matrix(959,-1480,208,-321) -> Matrix(1,0,0,1) Matrix(281,-440,76,-119) -> Matrix(1,0,0,1) Matrix(3679,-5800,1320,-2081) -> Matrix(1,-6,0,1) Matrix(2839,-4480,1192,-1881) -> Matrix(1,-12,0,1) Matrix(961,-1520,404,-639) -> Matrix(1,4,0,1) Matrix(839,-1360,124,-201) -> Matrix(3,4,-4,-5) Matrix(759,-1240,172,-281) -> Matrix(1,2,-4,-7) Matrix(121,-200,72,-119) -> Matrix(3,4,-4,-5) Matrix(3799,-6440,1204,-2041) -> Matrix(17,8,2,1) Matrix(4161,-7160,2324,-3999) -> Matrix(1,-2,0,1) Matrix(881,-1520,324,-559) -> Matrix(1,0,0,1) Matrix(3161,-5600,880,-1559) -> Matrix(1,2,-2,-3) Matrix(239,-440,44,-81) -> Matrix(1,0,0,1) Matrix(1439,-2680,516,-961) -> Matrix(1,-2,0,1) Matrix(3161,-7160,1324,-2999) -> Matrix(19,12,-8,-5) Matrix(1239,-2840,332,-761) -> Matrix(3,2,-2,-1) Matrix(81,-200,32,-79) -> Matrix(3,4,-4,-5) Matrix(5599,-14360,1560,-4001) -> Matrix(3,2,-2,-1) Matrix(281,-760,44,-119) -> Matrix(1,0,0,1) Matrix(1321,-3600,484,-1319) -> Matrix(1,0,2,1) Matrix(121,-400,36,-119) -> Matrix(5,6,-6,-7) Matrix(41,-200,8,-39) -> Matrix(1,2,-2,-3) 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): 80 Degree of the the map X: 80 Degree of the the map Y: 384 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- 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 0/1 1 2 1/2 1/0 1 20 9/17 0 20 8/15 -2/1 1 10 7/13 0 20 6/11 0 10 11/20 (0/1,1/1) 0 20 16/29 2/1 2 10 5/9 1/0 3 4 19/34 1/0 1 20 14/25 -3/1 1 10 9/16 (-3/1,-2/1) 0 20 13/23 0 20 17/30 -3/2 1 20 4/7 -1/1 1 10 19/33 0 20 15/26 0/1 1 4 11/19 0 20 18/31 1/1 1 10 43/74 1/0 1 20 25/43 1/1 2 4 7/12 (0/1,1/0) 0 20 17/29 0 20 10/17 1/0 4 2 13/22 1/0 1 20 16/27 -2/1 2 10 3/5 0 20 17/28 (-1/1,-2/3) 0 20 14/23 -1/1 1 10 11/18 1/0 1 20 8/13 0/1 2 10 21/34 1/0 1 20 34/55 1/1 1 10 13/21 0 20 18/29 0 10 5/8 1/0 1 4 22/35 0 10 17/27 0 20 12/19 1/0 1 10 43/68 (-3/1,-2/1) 0 20 31/49 0 20 19/30 1/0 1 20 26/41 -3/1 1 10 7/11 0 20 16/25 -2/1 1 10 25/39 -1/1 1 4 9/14 -3/2 1 20 11/17 0 20 13/20 (-1/1,0/1) 0 20 15/23 -1/1 2 4 2/3 0 10 15/22 -1/1 2 4 13/19 0 20 11/16 (-2/1,-1/1) 0 20 9/13 0 20 25/36 -1/1 1 4 16/23 0/1 1 10 7/10 -1/2 1 20 19/27 0 20 31/44 (-1/1,0/1) 0 20 43/61 0 20 12/17 -1/1 1 10 29/41 0 20 17/24 (-1/1,0/1) 0 20 5/7 0/1 1 4 23/32 (0/1,1/1) 0 20 18/25 -1/1 1 10 13/18 1/0 1 20 8/11 0/1 2 10 19/26 1/0 1 20 49/67 0 20 30/41 -1/1 1 2 11/15 0 20 25/34 0/1 1 4 14/19 0 10 3/4 (-1/1,0/1) 0 20 19/25 0 20 16/21 0/1 2 10 13/17 0 20 10/13 0/1 3 2 27/35 0 20 17/22 1/2 1 20 7/9 0 20 32/41 0/1 1 10 25/32 1/0 1 4 43/55 0 20 18/23 -1/1 1 10 29/37 0 20 11/14 1/2 1 20 26/33 1/1 1 10 41/52 (0/1,1/1) 0 20 15/19 1/1 1 4 19/24 (0/1,1/0) 0 20 4/5 1/0 1 10 13/16 (-1/1,0/1) 0 20 9/11 0 20 32/39 -2/1 1 10 23/28 (-2/1,-1/1) 0 20 14/17 -1/1 1 10 5/6 0/1 1 4 16/19 0/1 2 10 11/13 0 20 17/20 (-1/1,0/1) 0 20 6/7 1/1 1 10 13/15 0 20 7/8 (-2/1,1/0) 0 20 15/17 -1/1 2 4 8/9 0/1 1 10 1/1 0 20 10/9 -1/1 1 2 9/8 (-1/1,0/1) 0 20 8/7 0/1 1 10 7/6 1/0 1 20 20/17 1/0 11 2 33/28 (-10/1,1/0) 0 20 13/11 0 20 6/5 0 10 23/19 0 20 40/33 -2/1 7 2 17/14 -3/2 1 20 11/9 0 20 16/13 -2/1 2 10 5/4 -1/1 1 4 24/19 0/1 2 10 19/15 0 20 33/26 -1/2 1 20 14/11 0 10 23/18 -1/2 1 20 55/43 -1/1 2 4 32/25 0/1 1 10 9/7 0 20 22/17 1/1 1 10 13/10 1/0 1 20 30/23 1/0 4 2 17/13 0 20 38/29 0 10 21/16 (0/1,1/0) 0 20 4/3 1/0 1 10 23/17 0 20 42/31 -1/1 1 10 19/14 1/0 1 20 34/25 -1/1 1 10 15/11 1/0 3 4 11/8 (-3/1,-2/1) 0 20 18/13 0 10 61/44 (-3/2,-10/7) 0 20 43/31 0 20 68/49 -1/1 1 10 25/18 -1/1 2 4 7/5 0 20 24/17 -2/1 1 10 41/29 0 20 58/41 -7/5 1 10 17/12 (-4/3,-1/1) 0 20 10/7 -1/1 3 2 23/16 (-1/1,-2/3) 0 20 13/9 0 20 29/20 (-1/1,-2/3) 0 20 16/11 0/1 2 10 19/13 0 20 22/15 -1/1 1 10 3/2 1/0 1 20 20/13 -1/1 1 2 17/11 0 20 48/31 0/1 1 10 31/20 (-1/1,0/1) 0 20 14/9 -1/1 1 10 11/7 0 20 52/33 3/1 1 10 41/26 1/0 1 20 30/19 1/0 8 2 19/12 (-4/1,1/0) 0 20 8/5 -2/1 2 10 29/18 -3/2 1 20 79/49 0 20 50/31 -1/1 1 2 71/44 (-2/1,-1/1) 0 20 21/13 0 20 55/34 -2/1 1 4 34/21 0 10 47/29 0 20 13/8 (-2/1,-1/1) 0 20 31/19 0 20 18/11 0 10 5/3 -1/1 2 4 22/13 0 10 61/36 (-6/11,-1/2) 0 20 100/59 -1/2 17 2 39/23 0 20 17/10 -1/2 1 20 29/17 0 20 70/41 -1/1 1 2 41/24 (-1/1,0/1) 0 20 94/55 -1/1 1 10 53/31 0 20 65/38 -1/1 2 4 12/7 -1/1 1 10 55/32 -1/2 1 4 43/25 0 20 74/43 0 10 31/18 -1/2 1 20 19/11 0 20 64/37 0/1 2 10 45/26 0/1 1 4 26/15 -1/1 1 10 33/19 0 20 40/23 0/1 6 2 7/4 (0/1,1/0) 0 20 23/13 0 20 62/35 0 10 39/22 1/0 1 20 16/9 -2/1 1 10 41/23 0 20 107/60 (-3/1,-2/1) 0 20 66/37 0 10 25/14 -2/1 1 4 34/19 0 10 77/43 0 20 120/67 -2/1 13 2 43/24 (-2/1,-5/3) 0 20 9/5 0 20 29/16 (-6/5,-1/1) 0 20 20/11 -1/1 7 2 11/6 -1/2 1 20 13/7 0 20 28/15 -1/1 1 10 15/8 1/0 1 4 17/9 0 20 2/1 -1/1 1 10 17/8 (-1/1,0/1) 0 20 15/7 0/1 1 4 28/13 1/0 1 10 13/6 1/0 1 20 24/11 -2/1 2 10 11/5 0 20 31/14 -7/6 1 20 20/9 -1/1 9 2 9/4 (-1/1,-2/3) 0 20 43/19 0 20 34/15 -3/5 1 10 25/11 -1/2 3 4 41/18 -1/2 1 20 16/7 0/1 1 10 39/17 0 20 23/10 -1/2 1 20 7/3 0 20 40/17 0/1 6 2 33/14 1/2 1 20 26/11 0 10 19/8 (0/1,1/0) 0 20 50/21 1/0 8 2 81/34 1/0 1 20 31/13 0 20 74/31 -3/1 1 10 117/49 0 20 160/67 -2/1 13 2 43/18 -3/2 1 20 55/23 -1/1 2 4 67/28 (-1/1,0/1) 0 20 12/5 1/0 1 10 53/22 1/0 1 20 41/17 0 20 29/12 (-2/1,-1/1) 0 20 46/19 0 10 17/7 0 20 5/2 -1/1 2 4 23/9 0 20 41/16 (-1/1,-2/3) 0 20 100/39 -1/1 1 2 59/23 0 20 18/7 -1/1 1 10 49/19 0 20 80/31 -2/3 9 2 31/12 (-2/3,-3/5) 0 20 13/5 0 20 34/13 0 10 89/34 1/0 1 20 55/21 -1/1 1 4 21/8 (-2/3,-1/2) 0 20 8/3 0/1 2 10 27/10 1/0 1 20 19/7 0 20 49/18 -1/2 1 20 30/11 0/1 1 2 71/26 1/0 1 20 41/15 0 20 11/4 (-1/1,0/1) 0 20 25/9 1/0 3 4 39/14 1/0 1 20 92/33 -3/1 1 10 53/19 0 20 120/43 -2/1 3 2 67/24 (-2/1,-1/1) 0 20 14/5 0 10 17/6 -3/2 1 20 20/7 -1/1 7 2 23/8 (-1/1,-4/5) 0 20 3/1 0 20 22/7 1/1 1 10 41/13 0 20 60/19 1/0 17 2 19/6 1/0 1 20 35/11 1/0 3 4 16/5 -2/1 2 10 29/9 0 20 13/4 (-2/1,-1/1) 0 20 10/3 -1/1 3 2 27/8 (-1/1,-4/5) 0 20 44/13 -3/4 1 10 17/5 0 20 41/12 (-1/1,-2/3) 0 20 65/19 -1/1 1 4 24/7 -2/3 1 10 7/2 -1/2 1 20 32/9 0/1 1 10 57/16 (-1/3,0/1) 0 20 25/7 0/1 1 4 68/19 -1/2 1 10 43/12 (-1/1,0/1) 0 20 61/17 0 20 140/39 -1/1 1 2 79/22 -1/2 1 20 18/5 0 10 29/8 (-1/5,0/1) 0 20 40/11 0/1 11 2 51/14 1/6 1 20 11/3 0 20 26/7 -1/1 1 10 93/25 0 20 160/43 0/1 3 2 67/18 1/0 1 20 41/11 0 20 56/15 -2/1 1 10 15/4 -1/1 1 4 49/13 0 20 34/9 -1/1 1 10 19/5 0 20 80/21 0/1 2 2 61/16 (0/1,1/0) 0 20 42/11 0 10 65/17 -1/1 2 4 23/6 -1/2 1 20 4/1 -1/1 1 10 21/5 0 20 80/19 0/1 2 2 59/14 1/0 1 20 38/9 -1/1 1 10 17/4 (-1/1,0/1) 0 20 13/3 0 20 22/5 0 10 31/7 0 20 40/9 0/1 9 2 9/2 1/0 1 20 41/9 0 20 32/7 0/1 1 10 55/12 1/0 1 4 23/5 0 20 60/13 -1/1 1 2 37/8 (-1/1,0/1) 0 20 14/3 0 10 19/4 (0/1,1/0) 0 20 5/1 -1/1 1 4 21/4 (-2/3,-1/2) 0 20 37/7 0 20 16/3 0/1 2 10 27/5 0 20 11/2 -1/2 1 20 39/7 0 20 67/12 (-1/1,0/1) 0 20 28/5 -1/2 1 10 17/3 0 20 40/7 0/1 7 2 23/4 (0/1,1/1) 0 20 6/1 -1/1 1 10 19/3 0 20 13/2 1/0 1 20 20/3 -1/1 3 2 27/4 (-1/1,-2/3) 0 20 7/1 0 20 15/2 -1/1 2 4 38/5 0 10 23/3 0 20 8/1 0/1 1 10 9/1 0 20 10/1 -1/1 1 2 1/0 (-1/1,0/1) 0 20 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(1,0,4,-1) (0/1,1/2) -> (0/1,1/2) Reflection Matrix(1439,-760,604,-319) (1/2,9/17) -> (81/34,31/13) Glide Reflection Matrix(679,-360,828,-439) (9/17,8/15) -> (9/11,32/39) Glide Reflection Matrix(521,-280,668,-359) (8/15,7/13) -> (7/9,32/41) Hyperbolic Matrix(959,-520,592,-321) (7/13,6/11) -> (34/21,47/29) Hyperbolic Matrix(1239,-680,512,-281) (6/11,11/20) -> (29/12,46/19) Hyperbolic Matrix(1161,-640,800,-441) (11/20,16/29) -> (29/20,16/11) Glide Reflection Matrix(1159,-640,364,-201) (16/29,5/9) -> (35/11,16/5) Hyperbolic Matrix(1361,-760,428,-239) (5/9,19/34) -> (19/6,35/11) Hyperbolic Matrix(1359,-760,2144,-1199) (19/34,14/25) -> (19/30,26/41) Glide Reflection Matrix(999,-560,644,-361) (14/25,9/16) -> (31/20,14/9) Hyperbolic Matrix(921,-520,356,-201) (9/16,13/23) -> (31/12,13/5) Glide Reflection Matrix(1201,-680,1556,-881) (13/23,17/30) -> (27/35,17/22) Glide Reflection Matrix(281,-160,72,-41) (17/30,4/7) -> (23/6,4/1) Glide Reflection Matrix(279,-160,68,-39) (4/7,19/33) -> (4/1,21/5) Glide Reflection Matrix(2361,-1360,1460,-841) (19/33,15/26) -> (21/13,55/34) Glide Reflection Matrix(761,-440,1036,-599) (15/26,11/19) -> (11/15,25/34) Hyperbolic Matrix(1241,-720,1584,-919) (11/19,18/31) -> (18/23,29/37) Hyperbolic Matrix(1721,-1000,1172,-681) (18/31,43/74) -> (22/15,3/2) Glide Reflection Matrix(5919,-3440,2476,-1439) (43/74,25/43) -> (43/18,55/23) Glide Reflection Matrix(481,-280,548,-319) (25/43,7/12) -> (7/8,15/17) Hyperbolic Matrix(479,-280,272,-159) (7/12,17/29) -> (7/4,23/13) Glide Reflection Matrix(1159,-680,888,-521) (17/29,10/17) -> (30/23,17/13) Hyperbolic Matrix(881,-520,676,-399) (10/17,13/22) -> (13/10,30/23) Hyperbolic Matrix(879,-520,404,-239) (13/22,16/27) -> (13/6,24/11) Glide Reflection Matrix(1079,-640,204,-121) (16/27,3/5) -> (37/7,16/3) Hyperbolic Matrix(199,-120,68,-41) (3/5,17/28) -> (23/8,3/1) Hyperbolic Matrix(921,-560,1120,-681) (17/28,14/23) -> (23/28,14/17) Glide Reflection Matrix(721,-440,916,-559) (14/23,11/18) -> (11/14,26/33) Hyperbolic Matrix(521,-320,324,-199) (11/18,8/13) -> (8/5,29/18) Hyperbolic Matrix(519,-320,712,-439) (8/13,21/34) -> (8/11,19/26) Glide Reflection Matrix(2201,-1360,1620,-1001) (21/34,34/55) -> (19/14,34/25) Glide Reflection Matrix(841,-520,972,-601) (34/55,13/21) -> (6/7,13/15) Glide Reflection Matrix(839,-520,192,-119) (13/21,18/29) -> (13/3,22/5) Glide Reflection Matrix(321,-200,512,-319) (18/29,5/8) -> (5/8,22/35) Parabolic Matrix(2479,-1560,1400,-881) (22/35,17/27) -> (23/13,62/35) Hyperbolic Matrix(1079,-680,192,-121) (17/27,12/19) -> (28/5,17/3) Hyperbolic Matrix(5441,-3440,1520,-961) (12/19,43/68) -> (68/19,43/12) Glide Reflection Matrix(2719,-1720,1516,-959) (43/68,31/49) -> (43/24,9/5) Glide Reflection Matrix(2401,-1520,3284,-2079) (31/49,19/30) -> (19/26,49/67) Hyperbolic Matrix(1639,-1040,944,-599) (26/41,7/11) -> (26/15,33/19) Glide Reflection Matrix(439,-280,312,-199) (7/11,16/25) -> (7/5,24/17) Glide Reflection Matrix(2561,-1640,748,-479) (16/25,25/39) -> (65/19,24/7) Hyperbolic Matrix(4241,-2720,1620,-1039) (25/39,9/14) -> (89/34,55/21) Hyperbolic Matrix(681,-440,308,-199) (9/14,11/17) -> (11/5,31/14) Hyperbolic Matrix(801,-520,248,-161) (11/17,13/20) -> (29/9,13/4) Glide Reflection Matrix(2641,-1720,1104,-719) (13/20,15/23) -> (55/23,67/28) Hyperbolic Matrix(1161,-760,304,-199) (15/23,2/3) -> (42/11,65/17) Hyperbolic Matrix(881,-600,116,-79) (2/3,15/22) -> (15/2,38/5) Hyperbolic Matrix(2401,-1640,1404,-959) (15/22,13/19) -> (53/31,65/38) Hyperbolic Matrix(759,-520,524,-359) (13/19,11/16) -> (13/9,29/20) Glide Reflection Matrix(521,-360,288,-199) (11/16,9/13) -> (9/5,29/16) Hyperbolic Matrix(1959,-1360,520,-361) (9/13,25/36) -> (15/4,49/13) Hyperbolic Matrix(2361,-1640,632,-439) (25/36,16/23) -> (56/15,15/4) Hyperbolic Matrix(401,-280,116,-81) (16/23,7/10) -> (24/7,7/2) Glide Reflection Matrix(1081,-760,852,-599) (7/10,19/27) -> (19/15,33/26) Hyperbolic Matrix(2841,-2000,1760,-1239) (19/27,31/44) -> (71/44,21/13) Hyperbolic Matrix(2441,-1720,1080,-761) (31/44,43/61) -> (9/4,43/19) Glide Reflection Matrix(4879,-3440,3516,-2479) (43/61,12/17) -> (43/31,68/49) Glide Reflection Matrix(2319,-1640,1472,-1041) (12/17,29/41) -> (11/7,52/33) Hyperbolic Matrix(961,-680,1132,-801) (29/41,17/24) -> (11/13,17/20) Glide Reflection Matrix(281,-200,392,-279) (17/24,5/7) -> (5/7,23/32) Parabolic Matrix(2281,-1640,1612,-1159) (23/32,18/25) -> (58/41,17/12) Hyperbolic Matrix(721,-520,556,-401) (18/25,13/18) -> (22/17,13/10) Glide Reflection Matrix(441,-320,164,-119) (13/18,8/11) -> (8/3,27/10) Hyperbolic Matrix(1039,-760,108,-79) (49/67,30/41) -> (9/1,10/1) Glide Reflection Matrix(2239,-1640,1312,-961) (30/41,11/15) -> (29/17,70/41) Hyperbolic Matrix(2719,-2000,1524,-1121) (25/34,14/19) -> (66/37,25/14) Hyperbolic Matrix(759,-560,164,-121) (14/19,3/4) -> (37/8,14/3) Hyperbolic Matrix(1319,-1000,368,-279) (3/4,19/25) -> (43/12,61/17) Glide Reflection Matrix(1999,-1520,1156,-879) (19/25,16/21) -> (19/11,64/37) Glide Reflection Matrix(839,-640,156,-119) (16/21,13/17) -> (16/3,27/5) Glide Reflection Matrix(521,-400,676,-519) (13/17,10/13) -> (10/13,27/35) Parabolic Matrix(361,-280,156,-121) (17/22,7/9) -> (23/10,7/3) Glide Reflection Matrix(3279,-2560,716,-559) (32/41,25/32) -> (32/7,55/12) Glide Reflection Matrix(4401,-3440,2560,-2001) (25/32,43/55) -> (55/32,43/25) Glide Reflection Matrix(1279,-1000,408,-319) (43/55,18/23) -> (3/1,22/7) Glide Reflection Matrix(2041,-1600,560,-439) (29/37,11/14) -> (51/14,11/3) Hyperbolic Matrix(6241,-4920,3652,-2879) (26/33,41/52) -> (41/24,94/55) Hyperbolic Matrix(4159,-3280,1216,-959) (41/52,15/19) -> (41/12,65/19) Glide Reflection Matrix(1719,-1360,656,-519) (15/19,19/24) -> (55/21,21/8) Glide Reflection Matrix(201,-160,152,-121) (19/24,4/5) -> (21/16,4/3) Glide Reflection Matrix(839,-680,248,-201) (4/5,13/16) -> (27/8,44/13) Hyperbolic Matrix(639,-520,392,-319) (13/16,9/11) -> (13/8,31/19) Glide Reflection Matrix(3119,-2560,876,-719) (32/39,23/28) -> (32/9,57/16) Glide Reflection Matrix(921,-760,532,-439) (14/17,5/6) -> (45/26,26/15) Hyperbolic Matrix(1239,-1040,716,-601) (5/6,16/19) -> (64/37,45/26) Hyperbolic Matrix(759,-640,236,-199) (16/19,11/13) -> (16/5,29/9) Glide Reflection Matrix(281,-240,48,-41) (17/20,6/7) -> (23/4,6/1) Glide Reflection Matrix(599,-520,508,-441) (13/15,7/8) -> (33/28,13/11) Hyperbolic Matrix(1039,-920,812,-719) (15/17,8/9) -> (55/43,32/25) Glide Reflection Matrix(401,-360,88,-79) (8/9,1/1) -> (41/9,32/7) Hyperbolic Matrix(761,-840,472,-521) (1/1,10/9) -> (79/49,50/31) Glide Reflection Matrix(1039,-1160,644,-719) (10/9,9/8) -> (50/31,71/44) Glide Reflection Matrix(601,-680,388,-439) (9/8,8/7) -> (48/31,31/20) Hyperbolic Matrix(241,-280,68,-79) (8/7,7/6) -> (7/2,32/9) Hyperbolic Matrix(239,-280,204,-239) (7/6,20/17) -> (7/6,20/17) Reflection Matrix(1121,-1320,952,-1121) (20/17,33/28) -> (20/17,33/28) Reflection Matrix(439,-520,168,-199) (13/11,6/5) -> (13/5,34/13) Glide Reflection Matrix(959,-1160,396,-479) (6/5,23/19) -> (46/19,17/7) Glide Reflection Matrix(1321,-1600,232,-281) (23/19,40/33) -> (17/3,40/7) Glide Reflection Matrix(1121,-1360,924,-1121) (40/33,17/14) -> (40/33,17/14) Reflection Matrix(559,-680,328,-399) (17/14,11/9) -> (17/10,29/17) Glide Reflection Matrix(359,-440,164,-201) (11/9,16/13) -> (24/11,11/5) Hyperbolic Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(601,-760,412,-521) (24/19,19/15) -> (16/11,19/13) Glide Reflection Matrix(1039,-1320,440,-559) (33/26,14/11) -> (33/14,26/11) Glide Reflection Matrix(439,-560,156,-199) (14/11,23/18) -> (14/5,17/6) Glide Reflection Matrix(2159,-2760,564,-721) (23/18,55/43) -> (65/17,23/6) Hyperbolic Matrix(281,-360,32,-41) (32/25,9/7) -> (8/1,9/1) Glide Reflection Matrix(959,-1240,372,-481) (9/7,22/17) -> (18/7,49/19) Hyperbolic Matrix(1161,-1520,152,-199) (17/13,38/29) -> (38/5,23/3) Hyperbolic Matrix(2441,-3200,640,-839) (38/29,21/16) -> (61/16,42/11) Hyperbolic Matrix(799,-1080,236,-319) (4/3,23/17) -> (44/13,17/5) Glide Reflection Matrix(561,-760,296,-401) (23/17,42/31) -> (17/9,2/1) Glide Reflection Matrix(2361,-3200,560,-759) (42/31,19/14) -> (59/14,38/9) Hyperbolic Matrix(999,-1360,440,-599) (34/25,15/11) -> (34/15,25/11) Glide Reflection Matrix(321,-440,116,-159) (15/11,11/8) -> (11/4,25/9) Hyperbolic Matrix(521,-720,144,-199) (11/8,18/13) -> (18/5,29/8) Hyperbolic Matrix(1761,-2440,1040,-1441) (18/13,61/44) -> (22/13,61/36) Glide Reflection Matrix(2279,-3160,432,-599) (61/44,43/31) -> (21/4,37/7) Glide Reflection Matrix(3401,-4720,1988,-2759) (68/49,25/18) -> (65/38,12/7) Hyperbolic Matrix(201,-280,28,-39) (25/18,7/5) -> (7/1,15/2) Hyperbolic Matrix(1161,-1640,652,-921) (24/17,41/29) -> (16/9,41/23) Glide Reflection Matrix(2319,-3280,736,-1041) (41/29,58/41) -> (22/7,41/13) Hyperbolic Matrix(281,-400,196,-279) (17/12,10/7) -> (10/7,23/16) Parabolic Matrix(361,-520,84,-121) (23/16,13/9) -> (17/4,13/3) Glide Reflection Matrix(1119,-1640,436,-639) (19/13,22/15) -> (59/23,18/7) Glide Reflection Matrix(79,-120,52,-79) (3/2,20/13) -> (3/2,20/13) Reflection Matrix(959,-1480,208,-321) (20/13,17/11) -> (23/5,60/13) Hyperbolic Matrix(801,-1240,104,-161) (17/11,48/31) -> (23/3,8/1) Glide Reflection Matrix(281,-440,76,-119) (14/9,11/7) -> (11/3,26/7) Hyperbolic Matrix(3679,-5800,1320,-2081) (52/33,41/26) -> (39/14,92/33) Hyperbolic Matrix(2839,-4480,1192,-1881) (41/26,30/19) -> (50/21,81/34) Hyperbolic Matrix(961,-1520,404,-639) (30/19,19/12) -> (19/8,50/21) Hyperbolic Matrix(201,-320,76,-121) (19/12,8/5) -> (21/8,8/3) Glide Reflection Matrix(1241,-2000,224,-361) (29/18,79/49) -> (11/2,39/7) Glide Reflection Matrix(1681,-2720,940,-1521) (55/34,34/21) -> (25/14,34/19) Glide Reflection Matrix(839,-1360,124,-201) (47/29,13/8) -> (27/4,7/1) Hyperbolic Matrix(759,-1240,172,-281) (31/19,18/11) -> (22/5,31/7) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(7199,-12200,4248,-7199) (61/36,100/59) -> (61/36,100/59) Reflection Matrix(3799,-6440,1204,-2041) (100/59,39/23) -> (41/13,60/19) Hyperbolic Matrix(919,-1560,400,-679) (39/23,17/10) -> (39/17,23/10) Glide Reflection Matrix(281,-480,24,-41) (70/41,41/24) -> (10/1,1/0) Glide Reflection Matrix(5921,-10120,1592,-2721) (94/55,53/31) -> (26/7,93/25) Glide Reflection Matrix(1001,-1720,536,-921) (12/7,55/32) -> (28/15,15/8) Glide Reflection Matrix(4161,-7160,2324,-3999) (43/25,74/43) -> (34/19,77/43) Hyperbolic Matrix(4439,-7640,1696,-2919) (74/43,31/18) -> (34/13,89/34) Glide Reflection Matrix(881,-1520,324,-559) (31/18,19/11) -> (19/7,49/18) Hyperbolic Matrix(921,-1600,392,-681) (33/19,40/23) -> (7/3,40/17) Glide Reflection Matrix(321,-560,184,-321) (40/23,7/4) -> (40/23,7/4) Reflection Matrix(3161,-5600,880,-1559) (62/35,39/22) -> (79/22,18/5) Hyperbolic Matrix(721,-1280,316,-561) (39/22,16/9) -> (41/18,16/7) Glide Reflection Matrix(3881,-6920,696,-1241) (41/23,107/60) -> (39/7,67/12) Glide Reflection Matrix(3319,-5920,1188,-2119) (107/60,66/37) -> (67/24,14/5) Glide Reflection Matrix(14719,-26360,6164,-11039) (77/43,120/67) -> (117/49,160/67) Glide Reflection Matrix(5761,-10320,3216,-5761) (120/67,43/24) -> (120/67,43/24) Reflection Matrix(639,-1160,352,-639) (29/16,20/11) -> (29/16,20/11) Reflection Matrix(241,-440,132,-241) (20/11,11/6) -> (20/11,11/6) Reflection Matrix(239,-440,44,-81) (11/6,13/7) -> (27/5,11/2) Hyperbolic Matrix(1439,-2680,516,-961) (13/7,28/15) -> (92/33,53/19) Hyperbolic Matrix(679,-1280,148,-279) (15/8,17/9) -> (55/12,23/5) Glide Reflection Matrix(321,-680,76,-161) (2/1,17/8) -> (38/9,17/4) Glide Reflection Matrix(599,-1280,168,-359) (17/8,15/7) -> (57/16,25/7) Glide Reflection Matrix(801,-1720,224,-481) (15/7,28/13) -> (25/7,68/19) Glide Reflection Matrix(761,-1640,316,-681) (28/13,13/6) -> (12/5,53/22) Glide Reflection Matrix(559,-1240,252,-559) (31/14,20/9) -> (31/14,20/9) Reflection Matrix(161,-360,72,-161) (20/9,9/4) -> (20/9,9/4) Reflection Matrix(3161,-7160,1324,-2999) (43/19,34/15) -> (74/31,117/49) Hyperbolic Matrix(879,-2000,316,-719) (25/11,41/18) -> (25/9,39/14) Glide Reflection Matrix(1239,-2840,332,-761) (16/7,39/17) -> (41/11,56/15) Hyperbolic Matrix(1121,-2640,476,-1121) (40/17,33/14) -> (40/17,33/14) Reflection Matrix(321,-760,68,-161) (26/11,19/8) -> (14/3,19/4) Glide Reflection Matrix(1961,-4680,520,-1241) (31/13,74/31) -> (49/13,34/9) Glide Reflection Matrix(5761,-13760,2412,-5761) (160/67,43/18) -> (160/67,43/18) Reflection Matrix(1119,-2680,200,-479) (67/28,12/5) -> (67/12,28/5) Glide Reflection Matrix(2041,-4920,548,-1321) (53/22,41/17) -> (67/18,41/11) Glide Reflection Matrix(679,-1640,248,-599) (41/17,29/12) -> (41/15,11/4) Glide Reflection Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(641,-1640,188,-481) (23/9,41/16) -> (17/5,41/12) Glide Reflection Matrix(3199,-8200,1248,-3199) (41/16,100/39) -> (41/16,100/39) Reflection Matrix(5599,-14360,1560,-4001) (100/39,59/23) -> (61/17,140/39) Hyperbolic Matrix(1721,-4440,388,-1001) (49/19,80/31) -> (31/7,40/9) Glide Reflection Matrix(1921,-4960,744,-1921) (80/31,31/12) -> (80/31,31/12) Reflection Matrix(281,-760,44,-119) (27/10,19/7) -> (19/3,13/2) Hyperbolic Matrix(1321,-3600,484,-1319) (49/18,30/11) -> (30/11,71/26) Parabolic Matrix(1201,-3280,264,-721) (71/26,41/15) -> (9/2,41/9) Glide Reflection Matrix(7039,-19640,1892,-5279) (53/19,120/43) -> (93/25,160/43) Glide Reflection Matrix(5761,-16080,2064,-5761) (120/43,67/24) -> (120/43,67/24) Reflection Matrix(239,-680,84,-239) (17/6,20/7) -> (17/6,20/7) Reflection Matrix(321,-920,112,-321) (20/7,23/8) -> (20/7,23/8) Reflection Matrix(721,-2280,228,-721) (60/19,19/6) -> (60/19,19/6) Reflection Matrix(121,-400,36,-119) (13/4,10/3) -> (10/3,27/8) Parabolic Matrix(6161,-22120,1716,-6161) (140/39,79/22) -> (140/39,79/22) Reflection Matrix(639,-2320,176,-639) (29/8,40/11) -> (29/8,40/11) Reflection Matrix(1121,-4080,308,-1121) (40/11,51/14) -> (40/11,51/14) Reflection Matrix(5761,-21440,1548,-5761) (160/43,67/18) -> (160/43,67/18) Reflection Matrix(201,-760,32,-121) (34/9,19/5) -> (6/1,19/3) Glide Reflection Matrix(841,-3200,200,-761) (19/5,80/21) -> (21/5,80/19) Glide Reflection Matrix(2561,-9760,672,-2561) (80/21,61/16) -> (80/21,61/16) Reflection Matrix(2241,-9440,532,-2241) (80/19,59/14) -> (80/19,59/14) Reflection Matrix(161,-720,36,-161) (40/9,9/2) -> (40/9,9/2) Reflection Matrix(961,-4440,208,-961) (60/13,37/8) -> (60/13,37/8) Reflection Matrix(41,-200,8,-39) (19/4,5/1) -> (5/1,21/4) Parabolic Matrix(321,-1840,56,-321) (40/7,23/4) -> (40/7,23/4) Reflection Matrix(79,-520,12,-79) (13/2,20/3) -> (13/2,20/3) Reflection Matrix(161,-1080,24,-161) (20/3,27/4) -> (20/3,27/4) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(-1,0,2,1) (0/1,1/0) -> (-1/1,0/1) Matrix(1,0,4,-1) -> Matrix(1,0,0,-1) (0/1,1/2) -> (0/1,1/0) Matrix(1439,-760,604,-319) -> Matrix(1,8,0,-1) *** -> (-4/1,1/0) Matrix(679,-360,828,-439) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(521,-280,668,-359) -> Matrix(1,2,0,1) 1/0 Matrix(959,-520,592,-321) -> Matrix(3,2,-2,-1) -1/1 Matrix(1239,-680,512,-281) -> Matrix(1,-2,0,1) 1/0 Matrix(1161,-640,800,-441) -> Matrix(1,-2,-2,3) Matrix(1159,-640,364,-201) -> Matrix(1,-4,0,1) 1/0 Matrix(1361,-760,428,-239) -> Matrix(1,2,0,1) 1/0 Matrix(1359,-760,2144,-1199) -> Matrix(1,6,0,-1) *** -> (-3/1,1/0) Matrix(999,-560,644,-361) -> Matrix(1,2,0,1) 1/0 Matrix(921,-520,356,-201) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1201,-680,1556,-881) -> Matrix(1,2,4,7) Matrix(281,-160,72,-41) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(279,-160,68,-39) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(2361,-1360,1460,-841) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(761,-440,1036,-599) -> Matrix(1,0,0,1) Matrix(1241,-720,1584,-919) -> Matrix(1,0,-2,1) 0/1 Matrix(1721,-1000,1172,-681) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(5919,-3440,2476,-1439) -> Matrix(3,-2,-2,1) Matrix(481,-280,548,-319) -> Matrix(1,-2,0,1) 1/0 Matrix(479,-280,272,-159) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1159,-680,888,-521) -> Matrix(1,-4,0,1) 1/0 Matrix(881,-520,676,-399) -> Matrix(1,4,0,1) 1/0 Matrix(879,-520,404,-239) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(1079,-640,204,-121) -> Matrix(1,2,-2,-3) -1/1 Matrix(199,-120,68,-41) -> Matrix(1,2,-2,-3) -1/1 Matrix(921,-560,1120,-681) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(721,-440,916,-559) -> Matrix(1,0,2,1) 0/1 Matrix(521,-320,324,-199) -> Matrix(3,2,-2,-1) -1/1 Matrix(519,-320,712,-439) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2201,-1360,1620,-1001) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(841,-520,972,-601) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(839,-520,192,-119) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(321,-200,512,-319) -> Matrix(1,-2,0,1) 1/0 Matrix(2479,-1560,1400,-881) -> Matrix(1,0,0,1) Matrix(1079,-680,192,-121) -> Matrix(1,2,-2,-3) -1/1 Matrix(5441,-3440,1520,-961) -> Matrix(1,2,-2,-5) Matrix(2719,-1720,1516,-959) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(2401,-1520,3284,-2079) -> Matrix(1,0,0,1) Matrix(1639,-1040,944,-599) -> Matrix(1,2,-2,-5) Matrix(439,-280,312,-199) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(2561,-1640,748,-479) -> Matrix(3,4,-4,-5) -1/1 Matrix(4241,-2720,1620,-1039) -> Matrix(1,2,-2,-3) -1/1 Matrix(681,-440,308,-199) -> Matrix(5,4,-4,-3) -1/1 Matrix(801,-520,248,-161) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(2641,-1720,1104,-719) -> Matrix(1,0,0,1) Matrix(1161,-760,304,-199) -> Matrix(1,0,0,1) Matrix(881,-600,116,-79) -> Matrix(1,2,-2,-3) -1/1 Matrix(2401,-1640,1404,-959) -> Matrix(1,0,0,1) Matrix(759,-520,524,-359) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(521,-360,288,-199) -> Matrix(5,4,-4,-3) -1/1 Matrix(1959,-1360,520,-361) -> Matrix(1,0,0,1) Matrix(2361,-1640,632,-439) -> Matrix(3,2,-2,-1) -1/1 Matrix(401,-280,116,-81) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(1081,-760,852,-599) -> Matrix(1,0,0,1) Matrix(2841,-2000,1760,-1239) -> Matrix(3,2,-2,-1) -1/1 Matrix(2441,-1720,1080,-761) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(4879,-3440,3516,-2479) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(2319,-1640,1472,-1041) -> Matrix(5,2,2,1) Matrix(961,-680,1132,-801) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(281,-200,392,-279) -> Matrix(1,0,2,1) 0/1 Matrix(2281,-1640,1612,-1159) -> Matrix(3,-4,-2,3) Matrix(721,-520,556,-401) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(441,-320,164,-119) -> Matrix(1,0,0,1) Matrix(1039,-760,108,-79) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(2239,-1640,1312,-961) -> Matrix(1,0,0,1) Matrix(2719,-2000,1524,-1121) -> Matrix(1,-2,0,1) 1/0 Matrix(759,-560,164,-121) -> Matrix(1,0,0,1) Matrix(1319,-1000,368,-279) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1999,-1520,1156,-879) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(839,-640,156,-119) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(521,-400,676,-519) -> Matrix(1,0,6,1) 0/1 Matrix(361,-280,156,-121) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(3279,-2560,716,-559) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(4401,-3440,2560,-2001) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1279,-1000,408,-319) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2041,-1600,560,-439) -> Matrix(1,0,4,1) 0/1 Matrix(6241,-4920,3652,-2879) -> Matrix(1,0,-2,1) 0/1 Matrix(4159,-3280,1216,-959) -> Matrix(1,-2,-2,3) Matrix(1719,-1360,656,-519) -> Matrix(1,-2,-2,3) Matrix(201,-160,152,-121) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(839,-680,248,-201) -> Matrix(3,4,-4,-5) -1/1 Matrix(639,-520,392,-319) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(3119,-2560,876,-719) -> Matrix(1,2,-2,-5) Matrix(921,-760,532,-439) -> Matrix(1,0,0,1) Matrix(1239,-1040,716,-601) -> Matrix(1,0,-2,1) 0/1 Matrix(759,-640,236,-199) -> Matrix(3,-2,-2,1) Matrix(281,-240,48,-41) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(599,-520,508,-441) -> Matrix(1,-8,0,1) 1/0 Matrix(1039,-920,812,-719) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(401,-360,88,-79) -> Matrix(1,0,0,1) Matrix(761,-840,472,-521) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(1039,-1160,644,-719) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(601,-680,388,-439) -> Matrix(1,0,0,1) Matrix(241,-280,68,-79) -> Matrix(1,0,-2,1) 0/1 Matrix(239,-280,204,-239) -> Matrix(-1,2,0,1) (7/6,20/17) -> (1/1,1/0) Matrix(1121,-1320,952,-1121) -> Matrix(1,20,0,-1) (20/17,33/28) -> (-10/1,1/0) Matrix(439,-520,168,-199) -> Matrix(1,2,-2,-5) Matrix(959,-1160,396,-479) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(1321,-1600,232,-281) -> Matrix(1,2,-4,-9) Matrix(1121,-1360,924,-1121) -> Matrix(7,12,-4,-7) (40/33,17/14) -> (-2/1,-3/2) Matrix(559,-680,328,-399) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(359,-440,164,-201) -> Matrix(1,0,0,1) Matrix(161,-200,128,-159) -> Matrix(1,2,-2,-3) -1/1 Matrix(601,-760,412,-521) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1039,-1320,440,-559) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(439,-560,156,-199) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(2159,-2760,564,-721) -> Matrix(1,0,0,1) Matrix(281,-360,32,-41) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(959,-1240,372,-481) -> Matrix(3,-2,-4,3) Matrix(1161,-1520,152,-199) -> Matrix(1,2,-2,-3) -1/1 Matrix(2441,-3200,640,-839) -> Matrix(1,0,0,1) Matrix(799,-1080,236,-319) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(561,-760,296,-401) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(2361,-3200,560,-759) -> Matrix(1,0,0,1) Matrix(999,-1360,440,-599) -> Matrix(1,-2,-2,3) Matrix(321,-440,116,-159) -> Matrix(1,2,0,1) 1/0 Matrix(521,-720,144,-199) -> Matrix(1,2,-4,-7) Matrix(1761,-2440,1040,-1441) -> Matrix(5,8,-8,-13) Matrix(2279,-3160,432,-599) -> Matrix(3,4,-8,-11) Matrix(3401,-4720,1988,-2759) -> Matrix(3,4,-4,-5) -1/1 Matrix(201,-280,28,-39) -> Matrix(1,2,-2,-3) -1/1 Matrix(1161,-1640,652,-921) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(2319,-3280,736,-1041) -> Matrix(7,10,2,3) Matrix(281,-400,196,-279) -> Matrix(5,6,-6,-7) -1/1 Matrix(361,-520,84,-121) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(1119,-1640,436,-639) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(79,-120,52,-79) -> Matrix(1,2,0,-1) (3/2,20/13) -> (-1/1,1/0) Matrix(959,-1480,208,-321) -> Matrix(1,0,0,1) Matrix(801,-1240,104,-161) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(281,-440,76,-119) -> Matrix(1,0,0,1) Matrix(3679,-5800,1320,-2081) -> Matrix(1,-6,0,1) 1/0 Matrix(2839,-4480,1192,-1881) -> Matrix(1,-12,0,1) 1/0 Matrix(961,-1520,404,-639) -> Matrix(1,4,0,1) 1/0 Matrix(201,-320,76,-121) -> Matrix(1,2,-2,-5) Matrix(1241,-2000,224,-361) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1681,-2720,940,-1521) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(839,-1360,124,-201) -> Matrix(3,4,-4,-5) -1/1 Matrix(759,-1240,172,-281) -> Matrix(1,2,-4,-7) Matrix(121,-200,72,-119) -> Matrix(3,4,-4,-5) -1/1 Matrix(7199,-12200,4248,-7199) -> Matrix(23,12,-44,-23) (61/36,100/59) -> (-6/11,-1/2) Matrix(3799,-6440,1204,-2041) -> Matrix(17,8,2,1) Matrix(919,-1560,400,-679) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(281,-480,24,-41) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(5921,-10120,1592,-2721) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1001,-1720,536,-921) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(4161,-7160,2324,-3999) -> Matrix(1,-2,0,1) 1/0 Matrix(4439,-7640,1696,-2919) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(881,-1520,324,-559) -> Matrix(1,0,0,1) Matrix(921,-1600,392,-681) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(321,-560,184,-321) -> Matrix(1,0,0,-1) (40/23,7/4) -> (0/1,1/0) Matrix(3161,-5600,880,-1559) -> Matrix(1,2,-2,-3) -1/1 Matrix(721,-1280,316,-561) -> Matrix(1,2,-2,-5) Matrix(3881,-6920,696,-1241) -> Matrix(1,2,-2,-5) Matrix(3319,-5920,1188,-2119) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(14719,-26360,6164,-11039) -> Matrix(17,36,-8,-17) *** -> (-9/4,-2/1) Matrix(5761,-10320,3216,-5761) -> Matrix(11,20,-6,-11) (120/67,43/24) -> (-2/1,-5/3) Matrix(639,-1160,352,-639) -> Matrix(11,12,-10,-11) (29/16,20/11) -> (-6/5,-1/1) Matrix(241,-440,132,-241) -> Matrix(3,2,-4,-3) (20/11,11/6) -> (-1/1,-1/2) Matrix(239,-440,44,-81) -> Matrix(1,0,0,1) Matrix(1439,-2680,516,-961) -> Matrix(1,-2,0,1) 1/0 Matrix(679,-1280,148,-279) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(321,-680,76,-161) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(599,-1280,168,-359) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(801,-1720,224,-481) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(761,-1640,316,-681) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(559,-1240,252,-559) -> Matrix(13,14,-12,-13) (31/14,20/9) -> (-7/6,-1/1) Matrix(161,-360,72,-161) -> Matrix(5,4,-6,-5) (20/9,9/4) -> (-1/1,-2/3) Matrix(3161,-7160,1324,-2999) -> Matrix(19,12,-8,-5) Matrix(879,-2000,316,-719) -> Matrix(5,2,-2,-1) Matrix(1239,-2840,332,-761) -> Matrix(3,2,-2,-1) -1/1 Matrix(1121,-2640,476,-1121) -> Matrix(1,0,4,-1) (40/17,33/14) -> (0/1,1/2) Matrix(321,-760,68,-161) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1961,-4680,520,-1241) -> Matrix(1,2,-2,-5) Matrix(5761,-13760,2412,-5761) -> Matrix(7,12,-4,-7) (160/67,43/18) -> (-2/1,-3/2) Matrix(1119,-2680,200,-479) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(2041,-4920,548,-1321) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(679,-1640,248,-599) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(81,-200,32,-79) -> Matrix(3,4,-4,-5) -1/1 Matrix(641,-1640,188,-481) -> Matrix(5,4,-6,-5) *** -> (-1/1,-2/3) Matrix(3199,-8200,1248,-3199) -> Matrix(5,4,-6,-5) (41/16,100/39) -> (-1/1,-2/3) Matrix(5599,-14360,1560,-4001) -> Matrix(3,2,-2,-1) -1/1 Matrix(1721,-4440,388,-1001) -> Matrix(3,2,-22,-15) Matrix(1921,-4960,744,-1921) -> Matrix(19,12,-30,-19) (80/31,31/12) -> (-2/3,-3/5) Matrix(281,-760,44,-119) -> Matrix(1,0,0,1) Matrix(1321,-3600,484,-1319) -> Matrix(1,0,2,1) 0/1 Matrix(1201,-3280,264,-721) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(7039,-19640,1892,-5279) -> Matrix(1,2,-2,-5) Matrix(5761,-16080,2064,-5761) -> Matrix(3,4,-2,-3) (120/43,67/24) -> (-2/1,-1/1) Matrix(239,-680,84,-239) -> Matrix(5,6,-4,-5) (17/6,20/7) -> (-3/2,-1/1) Matrix(321,-920,112,-321) -> Matrix(9,8,-10,-9) (20/7,23/8) -> (-1/1,-4/5) Matrix(721,-2280,228,-721) -> Matrix(1,6,0,-1) (60/19,19/6) -> (-3/1,1/0) Matrix(121,-400,36,-119) -> Matrix(5,6,-6,-7) -1/1 Matrix(6161,-22120,1716,-6161) -> Matrix(3,2,-4,-3) (140/39,79/22) -> (-1/1,-1/2) Matrix(639,-2320,176,-639) -> Matrix(-1,0,10,1) (29/8,40/11) -> (-1/5,0/1) Matrix(1121,-4080,308,-1121) -> Matrix(1,0,12,-1) (40/11,51/14) -> (0/1,1/6) Matrix(5761,-21440,1548,-5761) -> Matrix(1,0,0,-1) (160/43,67/18) -> (0/1,1/0) Matrix(201,-760,32,-121) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(841,-3200,200,-761) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(2561,-9760,672,-2561) -> Matrix(1,0,0,-1) (80/21,61/16) -> (0/1,1/0) Matrix(2241,-9440,532,-2241) -> Matrix(1,0,0,-1) (80/19,59/14) -> (0/1,1/0) Matrix(161,-720,36,-161) -> Matrix(1,0,0,-1) (40/9,9/2) -> (0/1,1/0) Matrix(961,-4440,208,-961) -> Matrix(-1,0,2,1) (60/13,37/8) -> (-1/1,0/1) Matrix(41,-200,8,-39) -> Matrix(1,2,-2,-3) -1/1 Matrix(321,-1840,56,-321) -> Matrix(1,0,2,-1) (40/7,23/4) -> (0/1,1/1) Matrix(79,-520,12,-79) -> Matrix(1,2,0,-1) (13/2,20/3) -> (-1/1,1/0) Matrix(161,-1080,24,-161) -> Matrix(5,4,-6,-5) (20/3,27/4) -> (-1/1,-2/3) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.