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 -9/5 -26/15 -17/10 -8/5 -23/15 -3/2 -7/5 -13/10 -19/15 -6/5 -17/15 -1/1 -9/10 -5/6 -4/5 -3/4 -11/15 -7/10 -9/14 -19/30 -3/5 -7/12 -8/15 -1/2 -7/15 -7/16 -5/12 -2/5 -39/100 -7/18 -3/8 -11/30 -43/120 -1/3 -19/60 -3/10 -5/18 -11/40 -3/11 -4/15 -5/19 -1/4 -19/80 -3/13 -9/40 -3/14 -1/5 -3/16 -3/17 -1/6 -3/19 -1/7 -2/15 -1/8 -1/9 -1/10 0/1 1/10 1/9 1/8 1/7 3/20 2/13 1/6 7/40 3/17 2/11 3/16 1/5 4/19 3/14 2/9 3/13 4/17 1/4 4/15 3/11 5/18 2/7 3/10 4/13 6/19 1/3 7/20 6/17 4/11 11/30 3/8 7/18 2/5 5/12 17/40 7/16 53/120 4/9 9/20 7/15 1/2 8/15 11/20 4/7 7/12 3/5 19/30 9/14 13/20 2/3 7/10 11/15 3/4 4/5 5/6 17/20 9/10 1/1 6/5 19/15 13/10 4/3 7/5 22/15 3/2 8/5 17/10 26/15 9/5 2/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -2/1 1/1 -17/9 0/1 -15/8 1/2 1/0 -13/7 0/1 2/1 -11/6 0/1 -20/11 1/3 1/1 -29/16 1/2 3/4 -9/5 1/1 -34/19 1/1 -25/14 5/4 3/2 -16/9 1/1 5/3 -23/13 8/5 2/1 -30/17 3/1 -7/4 1/0 -33/19 0/1 2/1 -26/15 1/1 -19/11 2/1 -31/18 3/2 1/0 -74/43 1/1 -43/25 2/1 -12/7 1/1 3/1 -29/17 4/1 -17/10 1/0 -22/13 -1/1 -27/16 -1/2 1/0 -5/3 0/1 2/1 -28/17 -3/1 -1/1 -23/14 -1/1 -18/11 -1/1 -13/8 1/2 1/0 -34/21 1/1 -55/34 3/2 1/0 -21/13 0/1 -29/18 0/1 -8/5 1/1 -35/22 2/1 -27/17 0/1 2/1 -19/12 1/0 -68/43 -1/1 1/1 -49/31 0/1 2/3 -30/19 1/1 -41/26 1/1 -11/7 2/1 -25/16 5/2 1/0 -39/25 1/0 -14/9 3/1 -17/11 -2/1 0/1 -20/13 1/1 3/1 -23/15 1/0 -3/2 1/0 -22/15 1/0 -19/13 -2/1 0/1 -16/11 1/1 3/1 -13/9 -2/1 -36/25 1/0 -23/16 -3/2 1/0 -10/7 -1/1 -27/19 0/1 -44/31 1/3 1/1 -61/43 0/1 2/1 -17/12 1/0 -41/29 0/1 -24/17 -1/1 1/1 -7/5 0/1 -32/23 1/3 1/1 -25/18 1/1 -18/13 1/1 -11/8 1/2 1/0 -26/19 1/1 -67/49 4/5 6/7 -41/30 1/1 -15/11 2/1 -34/25 1/1 -19/14 2/1 -4/3 -1/1 1/1 -25/19 0/1 2/1 -21/16 3/2 1/0 -17/13 2/1 -13/10 1/0 -35/27 -4/1 -22/17 -3/1 -9/7 -2/1 0/1 -41/32 -3/2 1/0 -32/25 -1/1 -55/43 0/1 -23/18 -1/2 1/0 -37/29 0/1 -14/11 -1/1 -33/26 -1/1 -52/41 -1/1 -1/3 -19/15 0/1 -24/19 -1/1 1/1 -5/4 1/0 -16/13 -1/1 -3/5 -11/9 -2/3 0/1 -39/32 -1/2 1/0 -28/23 -1/1 -3/5 -17/14 -1/2 -1/4 -6/5 0/1 -19/16 1/4 1/2 -13/11 0/1 2/3 -20/17 1/3 1/1 -7/6 1/1 -15/13 0/1 2/1 -8/7 -1/1 1/1 -17/15 0/1 -9/8 1/2 1/0 -1/1 0/1 -9/10 1/1 -8/9 -1/1 1/1 -7/8 1/2 1/0 -6/7 1/1 -17/20 1/0 -28/33 -3/1 -1/1 -11/13 -2/1 0/1 -5/6 1/0 -19/23 0/1 -33/40 -1/2 1/0 -14/17 -1/1 -9/11 -2/3 0/1 -13/16 -1/2 -1/4 -4/5 0/1 -19/24 1/6 1/4 -15/19 0/1 -26/33 1/5 -11/14 0/1 -18/23 1/3 -43/55 1/4 -25/32 1/4 3/10 -7/9 0/1 2/5 -17/22 1/4 1/2 -10/13 1/3 -23/30 1/2 -13/17 0/1 -29/38 1/2 -16/21 1/3 1/1 -3/4 1/2 -17/23 0/1 2/3 -31/42 1/2 3/4 -14/19 1/1 -25/34 1/1 -11/15 1/1 -8/11 1/3 1/1 -13/18 0/1 -44/61 1/3 1/1 -31/43 0/1 -49/68 1/2 -18/25 1/2 -5/7 0/1 2/3 -17/24 1/2 3/4 -29/41 2/3 -41/58 1/1 -12/17 5/7 1/1 -7/10 1/1 -16/23 1/1 7/5 -9/13 2/1 -20/29 -1/1 1/1 -11/16 3/2 1/0 -13/19 0/1 2/1 -15/22 1/1 -2/3 1/1 -13/20 1/0 -11/17 -4/1 -2/1 -31/48 -3/2 1/0 -20/31 -3/1 -1/1 -9/14 -1/2 1/0 -7/11 0/1 -33/52 1/0 -26/41 -1/1 -19/30 0/1 -12/19 -1/1 1/1 -5/8 -1/2 1/0 -18/29 -1/3 -49/79 -2/15 0/1 -31/50 0/1 -44/71 1/5 1/3 -13/21 0/1 -34/55 0/1 -21/34 0/1 -29/47 0/1 2/1 -8/13 -1/1 1/1 -19/31 0/1 -11/18 -1/2 -3/5 0/1 -13/22 1/4 -36/61 1/5 1/3 -59/100 1/4 -23/39 0/1 -10/17 1/3 -17/29 2/7 -41/70 1/3 -24/41 1/3 5/13 -55/94 1/3 -31/53 0/1 2/5 -38/65 1/2 -7/12 1/2 -32/55 1/1 -25/43 0/1 2/1 -43/74 1/0 -18/31 -1/1 -11/19 0/1 -37/64 1/4 1/2 -26/45 0/1 -15/26 1/4 1/2 -19/33 0/1 2/5 -23/40 1/4 1/2 -4/7 1/3 1/1 -13/23 0/1 2/7 -35/62 0/1 -22/39 1/3 -9/16 1/4 1/2 -23/41 0/1 2/5 -60/107 1/5 1/3 -37/66 0/1 -14/25 1/3 -19/34 1/2 -43/77 0/1 2/5 -67/120 1/4 1/2 -24/43 1/3 1/1 -5/9 2/5 -16/29 5/11 7/15 -11/20 1/2 -6/11 3/5 -7/13 2/3 4/5 -15/28 3/4 -8/15 1/1 -9/17 2/3 -1/2 1/1 -8/17 1/1 3/1 -7/15 1/1 -13/28 3/2 -6/13 1/1 -11/24 3/2 1/0 -5/11 2/1 4/1 -14/31 7/1 -9/20 1/0 -4/9 -3/1 -1/1 -19/43 -2/1 -15/34 -3/2 1/0 -11/25 -1/1 -18/41 -1/1 -7/16 -1/2 1/0 -17/39 -2/3 0/1 -10/23 -1/3 -3/7 0/1 -17/40 1/2 1/0 -14/33 1/1 -11/26 1/0 -8/19 -1/1 1/1 -21/50 0/1 -34/81 1/1 -13/31 0/1 2/1 -31/74 1/2 1/0 -49/117 0/1 -67/160 1/2 1/0 -18/43 1/1 -23/55 1/0 -28/67 -1/1 1/1 -5/12 1/0 -22/53 -1/1 -17/41 0/1 -12/29 -1/1 1/1 -19/46 0/1 -7/17 -2/1 0/1 -2/5 0/1 -9/23 0/1 2/7 -16/41 1/3 1/1 -39/100 1/2 -23/59 0/1 -7/18 1/4 1/2 -19/49 0/1 2/5 -31/80 1/4 1/2 -12/31 1/3 1/1 -5/13 0/1 -13/34 0/1 -34/89 1/3 -21/55 1/2 -8/21 1/3 1/1 -3/8 1/2 1/0 -10/27 1/1 -7/19 0/1 -18/49 -1/5 -11/30 0/1 -26/71 1/13 -15/41 0/1 2/17 -4/11 1/5 1/3 -9/25 1/3 -14/39 1/3 -33/92 1/2 -19/53 0/1 2/5 -43/120 3/8 1/2 -24/67 1/3 3/7 -5/14 1/2 -6/17 3/7 -7/20 1/2 -8/23 5/9 3/5 -1/3 0/1 2/3 -7/22 1/1 -13/41 2/3 -19/60 3/4 -6/19 1/1 -11/35 1/1 -5/16 1/2 3/4 -9/29 2/3 -4/13 9/11 1/1 -3/10 1/1 -8/27 1/1 19/17 -13/44 7/6 -5/17 6/5 -12/41 1/1 9/7 -19/65 5/4 -7/24 5/4 3/2 -2/7 1/1 -9/32 3/2 1/0 -16/57 1/1 5/3 -7/25 2/1 -19/68 1/0 -12/43 1/1 5/3 -17/61 2/1 -39/140 1/0 -22/79 1/1 -5/18 2/1 -8/29 1/1 3/1 -11/40 3/2 1/0 -14/51 1/1 -3/11 2/1 -7/26 3/2 1/0 -25/93 2/1 -43/160 3/2 1/0 -18/67 1/1 -11/41 2/1 4/1 -15/56 5/2 1/0 -4/15 1/0 -13/49 0/1 -9/34 1/1 -5/19 0/1 2/1 -21/80 3/2 1/0 -16/61 1/1 3/1 -11/42 1/0 -17/65 1/0 -6/23 1/1 -1/4 1/0 -5/21 0/1 -19/80 1/2 1/0 -14/59 1/1 -9/38 1/2 1/0 -4/17 -1/1 1/1 -3/13 0/1 2/3 -5/22 1/0 -7/31 0/1 -9/40 1/2 1/0 -2/9 1/1 -9/41 0/1 -7/32 1/2 1/0 -12/55 1/1 -5/23 0/1 2/1 -13/60 1/0 -8/37 -3/1 -1/1 -3/14 0/1 -4/19 -1/1 1/1 -1/5 0/1 -4/21 1/3 1/1 -7/37 0/1 2/5 -3/16 1/2 1/0 -5/27 0/1 2/7 -2/11 1/1 -7/39 0/1 -12/67 1/3 1/1 -5/28 1/2 -3/17 0/1 2/3 -7/40 1/2 1/0 -4/23 1/3 1/1 -1/6 1/2 1/0 -3/19 0/1 -2/13 1/3 -3/20 1/2 -4/27 3/5 1/1 -1/7 0/1 2/3 -2/15 1/2 -5/38 1/2 -3/23 2/3 -1/8 1/2 3/4 -1/9 4/5 -1/10 1/1 0/1 -1/1 1/1 1/10 1/1 1/9 6/5 4/3 1/8 3/2 1/0 1/7 2/1 3/20 1/0 2/13 1/1 1/6 1/1 4/23 1/1 3/1 7/40 3/2 1/0 3/17 2/1 2/11 3/1 3/16 3/2 1/0 1/5 1/0 5/24 -1/2 1/0 4/19 -1/1 1/1 3/14 1/0 5/23 -2/1 12/55 -1/1 7/32 -1/2 1/0 2/9 1/1 5/22 0/1 3/13 0/1 4/17 1/1 3/1 9/38 1/1 5/21 0/1 2/1 1/4 1/0 6/23 1/1 11/42 0/1 5/19 0/1 9/34 -1/2 1/0 4/15 0/1 3/11 0/1 2/3 5/18 1/2 17/61 0/1 2/3 12/43 3/5 1/1 19/68 1/2 7/25 1/1 2/7 1/1 7/24 1/2 3/4 12/41 3/5 1/1 5/17 2/3 4/5 3/10 1/1 7/23 6/5 4/3 4/13 1/1 7/5 9/29 8/5 2/1 5/16 3/2 1/0 6/19 1/1 7/22 3/2 1/0 1/3 2/1 7/20 1/0 6/17 -1/1 5/14 0/1 4/11 1/1 3/1 15/41 2/1 11/30 1/0 7/19 0/1 2/1 3/8 3/2 1/0 8/21 1/1 3/1 21/55 2/1 13/34 1/0 5/13 0/1 2/1 12/31 1/1 3/1 7/18 3/1 2/5 1/0 9/22 -1/1 25/61 -2/1 0/1 41/100 1/0 16/39 -3/1 -1/1 7/17 0/1 12/29 -1/1 -1/3 17/41 0/1 2/5 22/53 1/1 5/12 1/0 23/55 0/1 18/43 1/1 31/74 1/1 13/31 0/1 8/19 -1/1 1/1 11/26 0/1 14/33 1/1 17/40 1/2 1/0 3/7 0/1 2/1 10/23 -1/1 17/39 0/1 7/16 1/2 1/0 18/41 1/1 11/25 1/1 15/34 1/1 34/77 1/1 53/120 3/2 1/0 19/43 4/3 2/1 4/9 1/1 3/1 9/20 1/0 5/11 -2/1 6/13 -1/1 13/28 1/0 7/15 0/1 8/17 -1/1 1/1 1/2 1/2 1/0 9/17 0/1 2/1 8/15 1/1 15/28 1/0 7/13 2/1 13/24 3/2 1/0 6/11 3/1 11/20 1/0 5/9 -2/1 0/1 24/43 -1/1 -1/3 19/34 0/1 14/25 0/1 23/41 0/1 9/16 1/2 1/0 22/39 1/1 13/23 2/1 4/7 -1/1 1/1 23/40 1/2 1/0 19/33 0/1 15/26 1/1 11/19 0/1 2/1 29/50 1/0 47/81 0/1 18/31 1/1 43/74 0/1 68/117 -1/1 1/1 93/160 1/2 1/0 25/43 0/1 32/55 1/1 7/12 1/0 31/53 0/1 24/41 3/5 1/1 17/29 4/3 2/1 10/17 1/1 3/5 1/0 14/23 -3/1 25/41 -2/1 0/1 61/100 1/0 36/59 -3/1 -1/1 11/18 -2/1 30/49 -1/1 49/80 -3/2 1/0 19/31 -2/1 0/1 8/13 -1/1 1/1 21/34 1/0 34/55 -1/1 13/21 -2/1 0/1 5/8 -1/2 1/0 12/19 -1/1 1/1 31/49 0/1 19/30 1/0 45/71 -2/1 26/41 -1/1 7/11 -2/1 0/1 16/25 0/1 25/39 0/1 34/53 1/1 77/120 1/2 1/0 43/67 0/1 2/3 9/14 1/1 11/17 2/1 13/20 1/0 2/3 -1/1 15/22 -1/2 1/0 13/19 0/1 11/16 -1/2 1/0 20/29 -1/1 -3/5 9/13 -2/5 0/1 7/10 0/1 19/27 0/1 2/11 12/17 1/5 1/3 29/41 0/1 2/5 17/24 1/4 1/2 5/7 0/1 23/32 1/2 1/0 41/57 -2/1 0/1 18/25 0/1 49/68 1/2 31/43 0/1 2/5 44/61 1/3 1/1 13/18 1/2 21/29 0/1 2/3 29/40 1/2 1/0 8/11 1/3 1/1 19/26 2/3 68/93 5/7 1/1 117/160 1/2 3/4 49/67 2/3 30/41 1/1 11/15 1/1 25/34 3/2 1/0 14/19 1/1 59/80 3/2 1/0 45/61 0/1 2/1 31/42 1/1 17/23 0/1 3/4 1/0 16/21 -1/1 1/1 61/80 -1/2 1/0 45/59 0/1 29/38 0/1 13/17 -2/1 0/1 10/13 1/1 17/22 1/1 24/31 -1/1 1/1 31/40 1/2 1/0 7/9 0/1 25/32 3/2 1/0 43/55 2/1 18/23 3/1 11/14 1/0 15/19 0/1 2/1 4/5 1/0 17/21 -2/1 0/1 13/16 -1/2 1/0 22/27 -1/1 9/11 -2/1 14/17 -1/1 33/40 -1/2 1/0 19/23 -2/1 0/1 5/6 0/1 11/13 0/1 17/20 1/0 6/7 -1/1 13/15 -1/1 20/23 -1/1 -3/5 7/8 -1/2 1/0 8/9 -1/3 -1/5 9/10 0/1 1/1 0/1 2/1 10/9 1/5 9/8 1/4 1/2 8/7 1/3 1/1 23/20 1/2 15/13 2/3 7/6 1/2 1/0 20/17 1/3 1/1 13/11 0/1 19/16 1/2 1/0 6/5 1/1 29/24 3/2 1/0 23/19 0/1 2/1 17/14 1/1 28/23 -1/1 1/1 39/32 1/2 1/0 11/9 0/1 16/13 1/3 1/1 21/17 0/1 2/1 5/4 1/0 24/19 -1/1 1/1 19/15 1/0 14/11 -1/1 23/18 -1/1 55/43 -2/3 0/1 32/25 -1/1 9/7 0/1 22/17 -1/5 13/10 0/1 30/23 1/9 17/13 0/1 2/11 21/16 1/4 1/2 25/19 0/1 4/3 1/3 1/1 27/20 1/2 23/17 4/7 19/14 1/2 15/11 2/3 4/5 56/41 15/17 1/1 41/30 1/1 26/19 1/1 11/8 1/2 1/0 29/21 0/1 2/3 47/34 1/1 18/13 1/1 25/18 1/2 3/4 7/5 1/1 31/22 3/2 1/0 86/61 1/1 141/100 3/2 55/39 4/3 2/1 24/17 1/1 3/1 41/29 0/1 2/1 58/41 1/1 75/53 2/1 17/12 1/0 61/43 0/1 44/31 -1/1 1/1 27/19 0/1 2/1 37/26 1/0 10/7 1/1 23/16 3/2 1/0 59/41 2/1 36/25 2/1 49/34 5/2 1/0 13/9 2/1 4/1 29/20 1/0 16/11 -3/1 -1/1 19/13 0/1 41/28 -1/2 22/15 0/1 25/17 -2/1 0/1 3/2 0/1 26/17 1/3 23/15 0/1 43/28 1/4 20/13 1/5 1/3 17/11 2/5 31/20 1/2 14/9 3/5 53/34 1/2 39/25 2/3 64/41 3/5 1/1 25/16 1/2 3/4 11/7 0/1 2/3 41/26 1/2 3/4 30/19 1/1 79/50 1/1 49/31 2/1 68/43 -1/1 1/1 19/12 1/2 84/53 3/5 1/1 65/41 8/13 2/3 46/29 5/7 27/17 2/3 8/5 1/1 37/23 4/3 66/41 1/1 161/100 3/2 95/59 4/3 2/1 29/18 3/2 21/13 0/1 2/1 55/34 1/1 34/21 1/1 13/8 3/2 1/0 31/19 0/1 2/1 80/49 -1/1 1/1 49/30 1/1 67/41 2/1 18/11 1/1 41/25 1/0 64/39 -1/1 1/1 87/53 2/1 23/14 3/2 1/0 28/17 3/1 5/1 33/20 1/0 5/3 0/1 32/19 -1/1 1/1 27/16 -1/2 1/0 22/13 -1/1 17/10 0/1 46/27 1/5 29/17 0/1 2/7 12/7 1/3 1/1 55/32 1/4 1/2 43/25 1/2 74/43 1/1 31/18 1/1 50/29 1/1 69/40 1/2 1/0 19/11 0/1 2/3 45/26 1/0 116/67 -1/1 1/1 71/41 0/1 26/15 0/1 33/19 0/1 7/4 1/2 30/17 1/1 23/13 2/3 16/9 3/5 1/1 57/32 7/10 3/4 41/23 2/3 25/14 1/1 34/19 1/1 9/5 1/1 38/21 1/1 29/16 5/4 3/2 20/11 1/1 5/3 31/17 2/1 11/6 1/0 24/13 1/1 3/1 37/20 1/0 13/7 0/1 28/15 1/1 15/8 1/2 1/0 17/9 0/1 2/1 2/1 1/1 1/0 1/2 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,4,0,1) (-2/1,1/0) -> (2/1,1/0) Parabolic Matrix(279,532,440,839) (-2/1,-17/9) -> (45/71,26/41) Hyperbolic Matrix(439,828,360,679) (-17/9,-15/8) -> (39/32,11/9) Hyperbolic Matrix(359,668,-280,-521) (-15/8,-13/7) -> (-9/7,-41/32) Hyperbolic Matrix(321,592,-520,-959) (-13/7,-11/6) -> (-21/34,-29/47) Hyperbolic Matrix(281,512,-680,-1239) (-11/6,-20/11) -> (-12/29,-19/46) Hyperbolic Matrix(441,800,640,1161) (-20/11,-29/16) -> (11/16,20/29) Hyperbolic Matrix(201,364,-640,-1159) (-29/16,-9/5) -> (-11/35,-5/16) Hyperbolic Matrix(239,428,-760,-1361) (-9/5,-34/19) -> (-6/19,-11/35) Hyperbolic Matrix(1199,2144,760,1359) (-34/19,-25/14) -> (41/26,30/19) Hyperbolic Matrix(361,644,-560,-999) (-25/14,-16/9) -> (-20/31,-9/14) Hyperbolic Matrix(201,356,520,921) (-16/9,-23/13) -> (5/13,12/31) Hyperbolic Matrix(679,1200,520,919) (-23/13,-30/17) -> (30/23,17/13) Hyperbolic Matrix(41,72,160,281) (-30/17,-7/4) -> (1/4,6/23) Hyperbolic Matrix(39,68,160,279) (-7/4,-33/19) -> (5/21,1/4) Hyperbolic Matrix(841,1460,1360,2361) (-33/19,-26/15) -> (34/55,13/21) Hyperbolic Matrix(599,1036,-440,-761) (-26/15,-19/11) -> (-15/11,-34/25) Hyperbolic Matrix(919,1584,-720,-1241) (-19/11,-31/18) -> (-23/18,-37/29) Hyperbolic Matrix(681,1172,1000,1721) (-31/18,-74/43) -> (2/3,15/22) Hyperbolic Matrix(1439,2476,3440,5919) (-74/43,-43/25) -> (23/55,18/43) Hyperbolic Matrix(319,548,-280,-481) (-43/25,-12/7) -> (-8/7,-17/15) Hyperbolic Matrix(159,272,280,479) (-12/7,-29/17) -> (13/23,4/7) Hyperbolic Matrix(521,888,-680,-1159) (-29/17,-17/10) -> (-23/30,-13/17) Hyperbolic Matrix(399,676,-520,-881) (-17/10,-22/13) -> (-10/13,-23/30) Hyperbolic Matrix(521,880,640,1081) (-22/13,-27/16) -> (13/16,22/27) Hyperbolic Matrix(121,204,-640,-1079) (-27/16,-5/3) -> (-7/37,-3/16) Hyperbolic Matrix(41,68,-120,-199) (-5/3,-28/17) -> (-8/23,-1/3) Hyperbolic Matrix(681,1120,560,921) (-28/17,-23/14) -> (17/14,28/23) Hyperbolic Matrix(559,916,-440,-721) (-23/14,-18/11) -> (-14/11,-33/26) Hyperbolic Matrix(199,324,-320,-521) (-18/11,-13/8) -> (-5/8,-18/29) Hyperbolic Matrix(439,712,320,519) (-13/8,-34/21) -> (26/19,11/8) Hyperbolic Matrix(1001,1620,1360,2201) (-34/21,-55/34) -> (25/34,14/19) Hyperbolic Matrix(601,972,520,841) (-55/34,-21/13) -> (15/13,7/6) Hyperbolic Matrix(119,192,520,839) (-21/13,-29/18) -> (5/22,3/13) Hyperbolic Matrix(319,512,-200,-321) (-29/18,-8/5) -> (-8/5,-35/22) Parabolic Matrix(881,1400,-1560,-2479) (-35/22,-27/17) -> (-13/23,-35/62) Hyperbolic Matrix(121,192,-680,-1079) (-27/17,-19/12) -> (-5/28,-3/17) Hyperbolic Matrix(961,1520,3440,5441) (-19/12,-68/43) -> (12/43,19/68) Hyperbolic Matrix(959,1516,1720,2719) (-68/43,-49/31) -> (5/9,24/43) Hyperbolic Matrix(2079,3284,-1520,-2401) (-49/31,-30/19) -> (-26/19,-67/49) Hyperbolic Matrix(1359,2144,760,1199) (-30/19,-41/26) -> (25/14,34/19) Hyperbolic Matrix(599,944,1040,1639) (-41/26,-11/7) -> (19/33,15/26) Hyperbolic Matrix(199,312,280,439) (-11/7,-25/16) -> (17/24,5/7) Hyperbolic Matrix(479,748,-1640,-2561) (-25/16,-39/25) -> (-19/65,-7/24) Hyperbolic Matrix(1039,1620,-2720,-4241) (-39/25,-14/9) -> (-34/89,-21/55) Hyperbolic Matrix(199,308,-440,-681) (-14/9,-17/11) -> (-5/11,-14/31) Hyperbolic Matrix(161,248,520,801) (-17/11,-20/13) -> (4/13,9/29) Hyperbolic Matrix(719,1104,-1720,-2641) (-20/13,-23/15) -> (-23/55,-28/67) Hyperbolic Matrix(199,304,-760,-1161) (-23/15,-3/2) -> (-11/42,-17/65) Hyperbolic Matrix(79,116,-600,-881) (-3/2,-22/15) -> (-2/15,-5/38) Hyperbolic Matrix(959,1404,-1640,-2401) (-22/15,-19/13) -> (-31/53,-38/65) Hyperbolic Matrix(359,524,520,759) (-19/13,-16/11) -> (20/29,9/13) Hyperbolic Matrix(199,288,-360,-521) (-16/11,-13/9) -> (-5/9,-16/29) Hyperbolic Matrix(361,520,-1360,-1959) (-13/9,-36/25) -> (-4/15,-13/49) Hyperbolic Matrix(439,632,-1640,-2361) (-36/25,-23/16) -> (-15/56,-4/15) Hyperbolic Matrix(81,116,280,401) (-23/16,-10/7) -> (2/7,7/24) Hyperbolic Matrix(599,852,-760,-1081) (-10/7,-27/19) -> (-15/19,-26/33) Hyperbolic Matrix(1239,1760,-2000,-2841) (-27/19,-44/31) -> (-44/71,-13/21) Hyperbolic Matrix(761,1080,1720,2441) (-44/31,-61/43) -> (19/43,4/9) Hyperbolic Matrix(2479,3516,3440,4879) (-61/43,-17/12) -> (49/68,31/43) Hyperbolic Matrix(1041,1472,-1640,-2319) (-17/12,-41/29) -> (-7/11,-33/52) Hyperbolic Matrix(801,1132,680,961) (-41/29,-24/17) -> (20/17,13/11) Hyperbolic Matrix(279,392,-200,-281) (-24/17,-7/5) -> (-7/5,-32/23) Parabolic Matrix(1159,1612,-1640,-2281) (-32/23,-25/18) -> (-41/58,-12/17) Hyperbolic Matrix(401,556,520,721) (-25/18,-18/13) -> (10/13,17/22) Hyperbolic Matrix(119,164,-320,-441) (-18/13,-11/8) -> (-3/8,-10/27) Hyperbolic Matrix(519,712,320,439) (-11/8,-26/19) -> (34/21,13/8) Hyperbolic Matrix(79,108,760,1039) (-67/49,-41/30) -> (1/10,1/9) Hyperbolic Matrix(961,1312,-1640,-2239) (-41/30,-15/11) -> (-17/29,-41/70) Hyperbolic Matrix(1121,1524,-2000,-2719) (-34/25,-19/14) -> (-37/66,-14/25) Hyperbolic Matrix(121,164,-560,-759) (-19/14,-4/3) -> (-8/37,-3/14) Hyperbolic Matrix(279,368,1000,1319) (-4/3,-25/19) -> (17/61,12/43) Hyperbolic Matrix(919,1208,760,999) (-25/19,-21/16) -> (29/24,23/19) Hyperbolic Matrix(281,368,520,681) (-21/16,-17/13) -> (7/13,13/24) Hyperbolic Matrix(519,676,-400,-521) (-17/13,-13/10) -> (-13/10,-35/27) Parabolic Matrix(1201,1556,680,881) (-35/27,-22/17) -> (30/17,23/13) Hyperbolic Matrix(121,156,280,361) (-22/17,-9/7) -> (3/7,10/23) Hyperbolic Matrix(559,716,2560,3279) (-41/32,-32/25) -> (12/55,7/32) Hyperbolic Matrix(2001,2560,3440,4401) (-32/25,-55/43) -> (25/43,32/55) Hyperbolic Matrix(319,408,1000,1279) (-55/43,-23/18) -> (7/22,1/3) Hyperbolic Matrix(439,560,-1600,-2041) (-37/29,-14/11) -> (-14/51,-3/11) Hyperbolic Matrix(2879,3652,-4920,-6241) (-33/26,-52/41) -> (-24/41,-55/94) Hyperbolic Matrix(2559,3244,1640,2079) (-52/41,-19/15) -> (39/25,64/41) Hyperbolic Matrix(519,656,1360,1719) (-19/15,-24/19) -> (8/21,21/55) Hyperbolic Matrix(121,152,160,201) (-24/19,-5/4) -> (3/4,16/21) Hyperbolic Matrix(201,248,-680,-839) (-5/4,-16/13) -> (-8/27,-13/44) Hyperbolic Matrix(319,392,520,639) (-16/13,-11/9) -> (19/31,8/13) Hyperbolic Matrix(679,828,360,439) (-11/9,-39/32) -> (15/8,17/9) Hyperbolic Matrix(801,976,920,1121) (-39/32,-28/23) -> (20/23,7/8) Hyperbolic Matrix(921,1120,560,681) (-28/23,-17/14) -> (23/14,28/17) Hyperbolic Matrix(439,532,-760,-921) (-17/14,-6/5) -> (-26/45,-15/26) Hyperbolic Matrix(601,716,-1040,-1239) (-6/5,-19/16) -> (-37/64,-26/45) Hyperbolic Matrix(199,236,640,759) (-19/16,-13/11) -> (9/29,5/16) Hyperbolic Matrix(961,1132,680,801) (-13/11,-20/17) -> (24/17,41/29) Hyperbolic Matrix(41,48,240,281) (-20/17,-7/6) -> (1/6,4/23) Hyperbolic Matrix(841,972,520,601) (-7/6,-15/13) -> (21/13,55/34) Hyperbolic Matrix(441,508,-520,-599) (-15/13,-8/7) -> (-28/33,-11/13) Hyperbolic Matrix(719,812,920,1039) (-17/15,-9/8) -> (25/32,43/55) Hyperbolic Matrix(79,88,-360,-401) (-9/8,-1/1) -> (-9/41,-7/32) Hyperbolic Matrix(719,652,440,399) (-1/1,-9/10) -> (49/30,67/41) Hyperbolic Matrix(1241,1112,760,681) (-9/10,-8/9) -> (80/49,49/30) Hyperbolic Matrix(439,388,-680,-601) (-8/9,-7/8) -> (-31/48,-20/31) Hyperbolic Matrix(79,68,-280,-241) (-7/8,-6/7) -> (-2/7,-9/32) Hyperbolic Matrix(239,204,280,239) (-6/7,-17/20) -> (17/20,6/7) Hyperbolic Matrix(919,780,800,679) (-17/20,-28/33) -> (8/7,23/20) Hyperbolic Matrix(199,168,520,439) (-11/13,-5/6) -> (13/34,5/13) Hyperbolic Matrix(439,364,240,199) (-5/6,-19/23) -> (31/17,11/6) Hyperbolic Matrix(281,232,1600,1321) (-19/23,-33/40) -> (7/40,3/17) Hyperbolic Matrix(1121,924,1360,1121) (-33/40,-14/17) -> (14/17,33/40) Hyperbolic Matrix(399,328,680,559) (-14/17,-9/11) -> (17/29,10/17) Hyperbolic Matrix(201,164,-440,-359) (-9/11,-13/16) -> (-11/24,-5/11) Hyperbolic Matrix(159,128,-200,-161) (-13/16,-4/5) -> (-4/5,-19/24) Parabolic Matrix(521,412,760,601) (-19/24,-15/19) -> (13/19,11/16) Hyperbolic Matrix(559,440,1320,1039) (-26/33,-11/14) -> (11/26,14/33) Hyperbolic Matrix(199,156,560,439) (-11/14,-18/23) -> (6/17,5/14) Hyperbolic Matrix(721,564,-2760,-2159) (-18/23,-43/55) -> (-17/65,-6/23) Hyperbolic Matrix(4401,3440,2560,2001) (-43/55,-25/32) -> (55/32,43/25) Hyperbolic Matrix(41,32,360,281) (-25/32,-7/9) -> (1/9,1/8) Hyperbolic Matrix(481,372,-1240,-959) (-7/9,-17/22) -> (-7/18,-19/49) Hyperbolic Matrix(721,556,520,401) (-17/22,-10/13) -> (18/13,25/18) Hyperbolic Matrix(199,152,-1520,-1161) (-13/17,-29/38) -> (-5/38,-3/23) Hyperbolic Matrix(839,640,-3200,-2441) (-29/38,-16/21) -> (-16/61,-11/42) Hyperbolic Matrix(201,152,160,121) (-16/21,-3/4) -> (5/4,24/19) Hyperbolic Matrix(199,148,160,119) (-3/4,-17/23) -> (21/17,5/4) Hyperbolic Matrix(401,296,760,561) (-17/23,-31/42) -> (1/2,9/17) Hyperbolic Matrix(759,560,-3200,-2361) (-31/42,-14/19) -> (-14/59,-9/38) Hyperbolic Matrix(2201,1620,1360,1001) (-14/19,-25/34) -> (55/34,34/21) Hyperbolic Matrix(599,440,1360,999) (-25/34,-11/15) -> (11/25,15/34) Hyperbolic Matrix(159,116,-440,-321) (-11/15,-8/11) -> (-4/11,-9/25) Hyperbolic Matrix(199,144,-720,-521) (-8/11,-13/18) -> (-5/18,-8/29) Hyperbolic Matrix(1319,952,2160,1559) (-13/18,-44/61) -> (36/59,11/18) Hyperbolic Matrix(1681,1212,1000,721) (-44/61,-31/43) -> (5/3,32/19) Hyperbolic Matrix(4879,3516,3440,2479) (-31/43,-49/68) -> (17/12,61/43) Hyperbolic Matrix(2759,1988,-4720,-3401) (-49/68,-18/25) -> (-38/65,-7/12) Hyperbolic Matrix(39,28,-280,-201) (-18/25,-5/7) -> (-1/7,-2/15) Hyperbolic Matrix(439,312,280,199) (-5/7,-17/24) -> (25/16,11/7) Hyperbolic Matrix(921,652,1640,1161) (-17/24,-29/41) -> (23/41,9/16) Hyperbolic Matrix(1041,736,-3280,-2319) (-29/41,-41/58) -> (-7/22,-13/41) Hyperbolic Matrix(279,196,-400,-281) (-12/17,-7/10) -> (-7/10,-16/23) Parabolic Matrix(121,84,520,361) (-16/23,-9/13) -> (3/13,4/17) Hyperbolic Matrix(759,524,520,359) (-9/13,-20/29) -> (16/11,19/13) Hyperbolic Matrix(1161,800,640,441) (-20/29,-11/16) -> (29/16,20/11) Hyperbolic Matrix(519,356,640,439) (-11/16,-13/19) -> (17/21,13/16) Hyperbolic Matrix(721,492,1760,1201) (-13/19,-15/22) -> (9/22,25/61) Hyperbolic Matrix(1721,1172,1000,681) (-15/22,-2/3) -> (74/43,31/18) Hyperbolic Matrix(79,52,120,79) (-2/3,-13/20) -> (13/20,2/3) Hyperbolic Matrix(321,208,-1480,-959) (-13/20,-11/17) -> (-5/23,-13/60) Hyperbolic Matrix(2359,1524,3280,2119) (-11/17,-31/48) -> (23/32,41/57) Hyperbolic Matrix(119,76,-440,-281) (-9/14,-7/11) -> (-3/11,-7/26) Hyperbolic Matrix(2081,1320,-5800,-3679) (-33/52,-26/41) -> (-14/39,-33/92) Hyperbolic Matrix(1881,1192,-4480,-2839) (-26/41,-19/30) -> (-21/50,-34/81) Hyperbolic Matrix(639,404,-1520,-961) (-19/30,-12/19) -> (-8/19,-21/50) Hyperbolic Matrix(121,76,320,201) (-12/19,-5/8) -> (3/8,8/21) Hyperbolic Matrix(5519,3424,3480,2159) (-18/29,-49/79) -> (65/41,46/29) Hyperbolic Matrix(761,472,840,521) (-49/79,-31/50) -> (9/10,1/1) Hyperbolic Matrix(1039,644,1160,719) (-31/50,-44/71) -> (8/9,9/10) Hyperbolic Matrix(2361,1460,1360,841) (-13/21,-34/55) -> (26/15,33/19) Hyperbolic Matrix(1521,940,2720,1681) (-34/55,-21/34) -> (19/34,14/25) Hyperbolic Matrix(201,124,-1360,-839) (-29/47,-8/13) -> (-4/27,-1/7) Hyperbolic Matrix(639,392,520,319) (-8/13,-19/31) -> (11/9,16/13) Hyperbolic Matrix(281,172,-1240,-759) (-19/31,-11/18) -> (-5/22,-7/31) Hyperbolic Matrix(119,72,-200,-121) (-11/18,-3/5) -> (-3/5,-13/22) Parabolic Matrix(1761,1040,2440,1441) (-13/22,-36/61) -> (44/61,13/18) Hyperbolic Matrix(7321,4320,12000,7081) (-36/61,-59/100) -> (61/100,36/59) Hyperbolic Matrix(2041,1204,-6440,-3799) (-59/100,-23/39) -> (-13/41,-19/60) Hyperbolic Matrix(679,400,1560,919) (-23/39,-10/17) -> (10/23,17/39) Hyperbolic Matrix(559,328,680,399) (-10/17,-17/29) -> (9/11,14/17) Hyperbolic Matrix(41,24,480,281) (-41/70,-24/41) -> (0/1,1/10) Hyperbolic Matrix(4519,2644,7040,4119) (-55/94,-31/53) -> (43/67,9/14) Hyperbolic Matrix(921,536,1720,1001) (-7/12,-32/55) -> (8/15,15/28) Hyperbolic Matrix(4401,2560,3440,2001) (-32/55,-25/43) -> (55/43,32/25) Hyperbolic Matrix(3999,2324,-7160,-4161) (-25/43,-43/74) -> (-19/34,-43/77) Hyperbolic Matrix(2679,1556,1720,999) (-43/74,-18/31) -> (14/9,53/34) Hyperbolic Matrix(559,324,-1520,-881) (-18/31,-11/19) -> (-7/19,-18/49) Hyperbolic Matrix(1999,1156,1520,879) (-11/19,-37/64) -> (21/16,25/19) Hyperbolic Matrix(1639,944,1040,599) (-15/26,-19/33) -> (11/7,41/26) Hyperbolic Matrix(681,392,1600,921) (-19/33,-23/40) -> (17/40,3/7) Hyperbolic Matrix(321,184,560,321) (-23/40,-4/7) -> (4/7,23/40) Hyperbolic Matrix(479,272,280,159) (-4/7,-13/23) -> (29/17,12/7) Hyperbolic Matrix(1559,880,-5600,-3161) (-35/62,-22/39) -> (-22/79,-5/18) Hyperbolic Matrix(561,316,1280,721) (-22/39,-9/16) -> (7/16,18/41) Hyperbolic Matrix(1161,652,1640,921) (-9/16,-23/41) -> (29/41,17/24) Hyperbolic Matrix(10399,5832,6560,3679) (-23/41,-60/107) -> (84/53,65/41) Hyperbolic Matrix(6521,3656,8920,5001) (-60/107,-37/66) -> (19/26,68/93) Hyperbolic Matrix(1681,940,2720,1521) (-14/25,-19/34) -> (21/34,34/55) Hyperbolic Matrix(6361,3552,14400,8041) (-43/77,-67/120) -> (53/120,19/43) Hyperbolic Matrix(12159,6788,20920,11679) (-67/120,-24/43) -> (68/117,93/160) Hyperbolic Matrix(2719,1516,1720,959) (-24/43,-5/9) -> (49/31,68/43) Hyperbolic Matrix(1161,640,800,441) (-16/29,-11/20) -> (29/20,16/11) Hyperbolic Matrix(241,132,440,241) (-11/20,-6/11) -> (6/11,11/20) Hyperbolic Matrix(81,44,-440,-239) (-6/11,-7/13) -> (-5/27,-2/11) Hyperbolic Matrix(961,516,-2680,-1439) (-7/13,-15/28) -> (-33/92,-19/53) Hyperbolic Matrix(1001,536,1720,921) (-15/28,-8/15) -> (32/55,7/12) Hyperbolic Matrix(279,148,1280,679) (-8/15,-9/17) -> (5/23,12/55) Hyperbolic Matrix(561,296,760,401) (-9/17,-1/2) -> (31/42,17/23) Hyperbolic Matrix(161,76,680,321) (-1/2,-8/17) -> (4/17,9/38) Hyperbolic Matrix(521,244,600,281) (-8/17,-7/15) -> (13/15,20/23) Hyperbolic Matrix(481,224,1720,801) (-7/15,-13/28) -> (19/68,7/25) Hyperbolic Matrix(681,316,1640,761) (-13/28,-6/13) -> (22/53,5/12) Hyperbolic Matrix(879,404,520,239) (-6/13,-11/24) -> (27/16,22/13) Hyperbolic Matrix(1241,560,800,361) (-14/31,-9/20) -> (31/20,14/9) Hyperbolic Matrix(161,72,360,161) (-9/20,-4/9) -> (4/9,9/20) Hyperbolic Matrix(2441,1080,1720,761) (-4/9,-19/43) -> (61/43,44/31) Hyperbolic Matrix(2999,1324,-7160,-3161) (-19/43,-15/34) -> (-31/74,-49/117) Hyperbolic Matrix(999,440,1360,599) (-15/34,-11/25) -> (11/15,25/34) Hyperbolic Matrix(1201,528,1640,721) (-11/25,-18/41) -> (30/41,11/15) Hyperbolic Matrix(721,316,1280,561) (-18/41,-7/16) -> (9/16,22/39) Hyperbolic Matrix(761,332,-2840,-1239) (-7/16,-17/39) -> (-11/41,-15/56) Hyperbolic Matrix(1121,488,1840,801) (-17/39,-10/23) -> (14/23,25/41) Hyperbolic Matrix(361,156,280,121) (-10/23,-3/7) -> (9/7,22/17) Hyperbolic Matrix(921,392,1600,681) (-3/7,-17/40) -> (23/40,19/33) Hyperbolic Matrix(1121,476,2640,1121) (-17/40,-14/33) -> (14/33,17/40) Hyperbolic Matrix(1481,628,1040,441) (-14/33,-11/26) -> (37/26,10/7) Hyperbolic Matrix(161,68,760,321) (-11/26,-8/19) -> (4/19,3/14) Hyperbolic Matrix(1439,604,760,319) (-34/81,-13/31) -> (17/9,2/1) Hyperbolic Matrix(2481,1040,1720,721) (-13/31,-31/74) -> (49/34,13/9) Hyperbolic Matrix(14881,6232,25600,10721) (-49/117,-67/160) -> (93/160,25/43) Hyperbolic Matrix(7719,3232,17480,7319) (-67/160,-18/43) -> (34/77,53/120) Hyperbolic Matrix(5919,2476,3440,1439) (-18/43,-23/55) -> (43/25,74/43) Hyperbolic Matrix(2281,952,1440,601) (-28/67,-5/12) -> (19/12,84/53) Hyperbolic Matrix(761,316,1640,681) (-5/12,-22/53) -> (6/13,13/28) Hyperbolic Matrix(2719,1128,4240,1759) (-22/53,-17/41) -> (25/39,34/53) Hyperbolic Matrix(599,248,1640,679) (-17/41,-12/29) -> (4/11,15/41) Hyperbolic Matrix(959,396,1160,479) (-19/46,-7/17) -> (19/23,5/6) Hyperbolic Matrix(79,32,-200,-81) (-7/17,-2/5) -> (-2/5,-9/23) Parabolic Matrix(481,188,1640,641) (-9/23,-16/41) -> (12/41,5/17) Hyperbolic Matrix(3281,1280,8000,3121) (-16/41,-39/100) -> (41/100,16/39) Hyperbolic Matrix(4001,1560,-14360,-5599) (-39/100,-23/59) -> (-17/61,-39/140) Hyperbolic Matrix(1119,436,1640,639) (-23/59,-7/18) -> (15/22,13/19) Hyperbolic Matrix(3921,1520,6400,2481) (-19/49,-31/80) -> (49/80,19/31) Hyperbolic Matrix(2881,1116,3720,1441) (-31/80,-12/31) -> (24/31,31/40) Hyperbolic Matrix(921,356,520,201) (-12/31,-5/13) -> (23/13,16/9) Hyperbolic Matrix(439,168,520,199) (-5/13,-13/34) -> (5/6,11/13) Hyperbolic Matrix(4439,1696,7640,2919) (-13/34,-34/89) -> (18/31,43/74) Hyperbolic Matrix(1719,656,1360,519) (-21/55,-8/21) -> (24/19,19/15) Hyperbolic Matrix(201,76,320,121) (-8/21,-3/8) -> (5/8,12/19) Hyperbolic Matrix(119,44,-760,-281) (-10/27,-7/19) -> (-3/19,-2/13) Hyperbolic Matrix(1319,484,-3600,-1321) (-18/49,-11/30) -> (-11/30,-26/71) Parabolic Matrix(481,176,440,161) (-26/71,-15/41) -> (1/1,10/9) Hyperbolic Matrix(679,248,1640,599) (-15/41,-4/11) -> (12/29,17/41) Hyperbolic Matrix(879,316,2000,719) (-9/25,-14/39) -> (18/41,11/25) Hyperbolic Matrix(9241,3312,14400,5161) (-19/53,-43/120) -> (77/120,43/67) Hyperbolic Matrix(15999,5732,21880,7839) (-43/120,-24/67) -> (68/93,117/160) Hyperbolic Matrix(4639,1660,2680,959) (-24/67,-5/14) -> (45/26,116/67) Hyperbolic Matrix(439,156,560,199) (-5/14,-6/17) -> (18/23,11/14) Hyperbolic Matrix(239,84,680,239) (-6/17,-7/20) -> (7/20,6/17) Hyperbolic Matrix(1319,460,800,279) (-7/20,-8/23) -> (28/17,33/20) Hyperbolic Matrix(1279,408,1000,319) (-1/3,-7/22) -> (23/18,55/43) Hyperbolic Matrix(7839,2480,5560,1759) (-19/60,-6/19) -> (86/61,141/100) Hyperbolic Matrix(759,236,640,199) (-5/16,-9/29) -> (13/11,19/16) Hyperbolic Matrix(801,248,520,161) (-9/29,-4/13) -> (20/13,17/11) Hyperbolic Matrix(119,36,-400,-121) (-4/13,-3/10) -> (-3/10,-8/27) Parabolic Matrix(799,236,1080,319) (-13/44,-5/17) -> (17/23,3/4) Hyperbolic Matrix(559,164,1360,399) (-5/17,-12/41) -> (16/39,7/17) Hyperbolic Matrix(5841,1708,3560,1041) (-12/41,-19/65) -> (41/25,64/39) Hyperbolic Matrix(401,116,280,81) (-7/24,-2/7) -> (10/7,23/16) Hyperbolic Matrix(3119,876,2560,719) (-9/32,-16/57) -> (28/23,39/32) Hyperbolic Matrix(599,168,1280,359) (-16/57,-7/25) -> (7/15,8/17) Hyperbolic Matrix(801,224,1720,481) (-7/25,-19/68) -> (13/28,7/15) Hyperbolic Matrix(5441,1520,3440,961) (-19/68,-12/43) -> (68/43,19/12) Hyperbolic Matrix(1319,368,1000,279) (-12/43,-17/61) -> (25/19,4/3) Hyperbolic Matrix(21959,6116,13640,3799) (-39/140,-22/79) -> (66/41,161/100) Hyperbolic Matrix(1161,320,1600,441) (-8/29,-11/40) -> (29/40,8/11) Hyperbolic Matrix(5519,1516,3200,879) (-11/40,-14/51) -> (50/29,69/40) Hyperbolic Matrix(4401,1184,2680,721) (-7/26,-25/93) -> (87/53,23/14) Hyperbolic Matrix(18721,5032,25600,6881) (-25/93,-43/160) -> (117/160,49/67) Hyperbolic Matrix(10599,2848,16520,4439) (-43/160,-18/67) -> (34/53,77/120) Hyperbolic Matrix(2041,548,4920,1321) (-18/67,-11/41) -> (17/41,22/53) Hyperbolic Matrix(1961,520,4680,1241) (-13/49,-9/34) -> (31/74,13/31) Hyperbolic Matrix(1879,496,1360,359) (-9/34,-5/19) -> (29/21,47/34) Hyperbolic Matrix(4721,1240,6400,1681) (-5/19,-21/80) -> (59/80,45/61) Hyperbolic Matrix(5001,1312,6560,1721) (-21/80,-16/61) -> (16/21,61/80) Hyperbolic Matrix(281,72,160,41) (-6/23,-1/4) -> (7/4,30/17) Hyperbolic Matrix(279,68,160,39) (-1/4,-5/21) -> (33/19,7/4) Hyperbolic Matrix(4881,1160,6400,1521) (-5/21,-19/80) -> (61/80,45/59) Hyperbolic Matrix(4601,1092,6240,1481) (-19/80,-14/59) -> (14/19,59/80) Hyperbolic Matrix(321,76,680,161) (-9/38,-4/17) -> (8/17,1/2) Hyperbolic Matrix(479,112,680,159) (-4/17,-3/13) -> (19/27,12/17) Hyperbolic Matrix(839,192,520,119) (-3/13,-5/22) -> (29/18,21/13) Hyperbolic Matrix(1241,280,1600,361) (-7/31,-9/40) -> (31/40,7/9) Hyperbolic Matrix(1641,368,2680,601) (-9/40,-2/9) -> (30/49,49/80) Hyperbolic Matrix(1161,256,2000,441) (-2/9,-9/41) -> (47/81,18/31) Hyperbolic Matrix(1721,376,920,201) (-7/32,-12/55) -> (28/15,15/8) Hyperbolic Matrix(679,148,1280,279) (-12/55,-5/23) -> (9/17,8/15) Hyperbolic Matrix(1239,268,920,199) (-13/60,-8/37) -> (4/3,27/20) Hyperbolic Matrix(321,68,760,161) (-3/14,-4/19) -> (8/19,11/26) Hyperbolic Matrix(39,8,-200,-41) (-4/19,-1/5) -> (-1/5,-4/21) Parabolic Matrix(2279,432,3160,599) (-4/21,-7/37) -> (31/43,44/61) Hyperbolic Matrix(839,156,640,119) (-3/16,-5/27) -> (17/13,21/16) Hyperbolic Matrix(1439,260,880,159) (-2/11,-7/39) -> (67/41,18/11) Hyperbolic Matrix(9281,1664,5360,961) (-7/39,-12/67) -> (116/67,71/41) Hyperbolic Matrix(3441,616,2240,401) (-12/67,-5/28) -> (43/28,20/13) Hyperbolic Matrix(1321,232,1600,281) (-3/17,-7/40) -> (33/40,19/23) Hyperbolic Matrix(321,56,1840,321) (-7/40,-4/23) -> (4/23,7/40) Hyperbolic Matrix(281,48,240,41) (-4/23,-1/6) -> (7/6,20/17) Hyperbolic Matrix(201,32,760,121) (-1/6,-3/19) -> (5/19,9/34) Hyperbolic Matrix(79,12,520,79) (-2/13,-3/20) -> (3/20,2/13) Hyperbolic Matrix(1479,220,800,119) (-3/20,-4/27) -> (24/13,37/20) Hyperbolic Matrix(1639,212,920,119) (-3/23,-1/8) -> (57/32,41/23) Hyperbolic Matrix(281,32,360,41) (-1/8,-1/9) -> (7/9,25/32) Hyperbolic Matrix(1201,128,760,81) (-1/9,-1/10) -> (79/50,49/31) Hyperbolic Matrix(601,56,440,41) (-1/10,0/1) -> (56/41,41/30) Hyperbolic Matrix(201,-28,280,-39) (1/8,1/7) -> (5/7,23/32) Hyperbolic Matrix(519,-76,280,-41) (1/7,3/20) -> (37/20,13/7) Hyperbolic Matrix(719,-112,520,-81) (2/13,1/6) -> (47/34,18/13) Hyperbolic Matrix(1079,-192,680,-121) (3/17,2/11) -> (46/29,27/17) Hyperbolic Matrix(239,-44,440,-81) (2/11,3/16) -> (13/24,6/11) Hyperbolic Matrix(41,-8,200,-39) (3/16,1/5) -> (1/5,5/24) Parabolic Matrix(1281,-268,760,-159) (5/24,4/19) -> (32/19,27/16) Hyperbolic Matrix(759,-164,560,-121) (3/14,5/23) -> (23/17,19/14) Hyperbolic Matrix(401,-88,360,-79) (7/32,2/9) -> (10/9,9/8) Hyperbolic Matrix(759,-172,1240,-281) (2/9,5/22) -> (11/18,30/49) Hyperbolic Matrix(2361,-560,3200,-759) (9/38,5/21) -> (45/61,31/42) Hyperbolic Matrix(1161,-304,760,-199) (6/23,11/42) -> (3/2,26/17) Hyperbolic Matrix(2441,-640,3200,-839) (11/42,5/19) -> (45/59,29/38) Hyperbolic Matrix(1959,-520,1360,-361) (9/34,4/15) -> (36/25,49/34) Hyperbolic Matrix(281,-76,440,-119) (4/15,3/11) -> (7/11,16/25) Hyperbolic Matrix(521,-144,720,-199) (3/11,5/18) -> (13/18,21/29) Hyperbolic Matrix(3479,-968,2160,-601) (5/18,17/61) -> (95/59,29/18) Hyperbolic Matrix(241,-68,280,-79) (7/25,2/7) -> (6/7,13/15) Hyperbolic Matrix(2561,-748,1640,-479) (7/24,12/41) -> (64/41,25/16) Hyperbolic Matrix(121,-36,400,-119) (5/17,3/10) -> (3/10,7/23) Parabolic Matrix(641,-196,520,-159) (7/23,4/13) -> (16/13,21/17) Hyperbolic Matrix(1159,-364,640,-201) (5/16,6/19) -> (38/21,29/16) Hyperbolic Matrix(2481,-788,1760,-559) (6/19,7/22) -> (31/22,86/61) Hyperbolic Matrix(199,-68,120,-41) (1/3,7/20) -> (33/20,5/3) Hyperbolic Matrix(321,-116,440,-159) (5/14,4/11) -> (8/11,19/26) Hyperbolic Matrix(2599,-952,4480,-1641) (15/41,11/30) -> (29/50,47/81) Hyperbolic Matrix(881,-324,1520,-559) (11/30,7/19) -> (11/19,29/50) Hyperbolic Matrix(441,-164,320,-119) (7/19,3/8) -> (11/8,29/21) Hyperbolic Matrix(4241,-1620,2720,-1039) (21/55,13/34) -> (53/34,39/25) Hyperbolic Matrix(959,-372,1240,-481) (12/31,7/18) -> (17/22,24/31) Hyperbolic Matrix(81,-32,200,-79) (7/18,2/5) -> (2/5,9/22) Parabolic Matrix(19321,-7920,12000,-4919) (25/61,41/100) -> (161/100,95/59) Hyperbolic Matrix(1239,-512,680,-281) (7/17,12/29) -> (20/11,31/17) Hyperbolic Matrix(2641,-1104,1720,-719) (5/12,23/55) -> (23/15,43/28) Hyperbolic Matrix(3161,-1324,7160,-2999) (18/43,31/74) -> (15/34,34/77) Hyperbolic Matrix(961,-404,1520,-639) (13/31,8/19) -> (12/19,31/49) Hyperbolic Matrix(1841,-804,1280,-559) (17/39,7/16) -> (23/16,59/41) Hyperbolic Matrix(681,-308,440,-199) (9/20,5/11) -> (17/11,31/20) Hyperbolic Matrix(359,-164,440,-201) (5/11,6/13) -> (22/27,9/11) Hyperbolic Matrix(2321,-1244,1640,-879) (15/28,7/13) -> (75/53,17/12) Hyperbolic Matrix(521,-288,360,-199) (11/20,5/9) -> (13/9,29/20) Hyperbolic Matrix(4161,-2324,7160,-3999) (24/43,19/34) -> (43/74,68/117) Hyperbolic Matrix(2841,-1592,1640,-919) (14/25,23/41) -> (71/41,26/15) Hyperbolic Matrix(2961,-1672,1840,-1039) (22/39,13/23) -> (37/23,66/41) Hyperbolic Matrix(921,-532,760,-439) (15/26,11/19) -> (23/19,17/14) Hyperbolic Matrix(2401,-1404,1640,-959) (7/12,31/53) -> (19/13,41/28) Hyperbolic Matrix(6959,-4072,4240,-2481) (31/53,24/41) -> (64/39,87/53) Hyperbolic Matrix(2239,-1312,1640,-961) (24/41,17/29) -> (15/11,56/41) Hyperbolic Matrix(121,-72,200,-119) (10/17,3/5) -> (3/5,14/23) Parabolic Matrix(11281,-6880,8000,-4879) (25/41,61/100) -> (141/100,55/39) Hyperbolic Matrix(959,-592,520,-321) (8/13,21/34) -> (11/6,24/13) Hyperbolic Matrix(521,-324,320,-199) (13/21,5/8) -> (13/8,31/19) Hyperbolic Matrix(2281,-1444,3600,-2279) (31/49,19/30) -> (19/30,45/71) Parabolic Matrix(2319,-1472,1640,-1041) (26/41,7/11) -> (41/29,58/41) Hyperbolic Matrix(2879,-1844,2000,-1281) (16/25,25/39) -> (59/41,36/25) Hyperbolic Matrix(999,-644,560,-361) (9/14,11/17) -> (41/23,25/14) Hyperbolic Matrix(919,-596,680,-441) (11/17,13/20) -> (27/20,23/17) Hyperbolic Matrix(281,-196,400,-279) (9/13,7/10) -> (7/10,19/27) Parabolic Matrix(1919,-1356,1360,-961) (12/17,29/41) -> (55/39,24/17) Hyperbolic Matrix(1879,-1352,1280,-921) (41/57,18/25) -> (22/15,25/17) Hyperbolic Matrix(2521,-1816,1720,-1239) (18/25,49/68) -> (41/28,22/15) Hyperbolic Matrix(2761,-2000,1600,-1159) (21/29,29/40) -> (69/40,19/11) Hyperbolic Matrix(6961,-5092,4920,-3599) (49/67,30/41) -> (58/41,75/53) Hyperbolic Matrix(1001,-764,680,-519) (29/38,13/17) -> (25/17,3/2) Hyperbolic Matrix(1159,-888,680,-521) (13/17,10/13) -> (46/27,29/17) Hyperbolic Matrix(1959,-1532,1280,-1001) (43/55,18/23) -> (26/17,23/15) Hyperbolic Matrix(1081,-852,760,-599) (11/14,15/19) -> (27/19,37/26) Hyperbolic Matrix(161,-128,200,-159) (15/19,4/5) -> (4/5,17/21) Parabolic Matrix(599,-508,520,-441) (11/13,17/20) -> (23/20,15/13) Hyperbolic Matrix(641,-568,360,-319) (7/8,8/9) -> (16/9,57/32) Hyperbolic Matrix(481,-548,280,-319) (9/8,8/7) -> (12/7,55/32) Hyperbolic Matrix(241,-288,200,-239) (19/16,6/5) -> (6/5,29/24) Parabolic Matrix(721,-916,440,-559) (19/15,14/11) -> (18/11,41/25) Hyperbolic Matrix(1241,-1584,720,-919) (14/11,23/18) -> (31/18,50/29) Hyperbolic Matrix(521,-668,280,-359) (32/25,9/7) -> (13/7,28/15) Hyperbolic Matrix(521,-676,400,-519) (22/17,13/10) -> (13/10,30/23) Parabolic Matrix(761,-1036,440,-599) (19/14,15/11) -> (19/11,45/26) Hyperbolic Matrix(2401,-3284,1520,-2079) (41/30,26/19) -> (30/19,79/50) Hyperbolic Matrix(281,-392,200,-279) (25/18,7/5) -> (7/5,31/22) Parabolic Matrix(2481,-3524,1520,-2159) (44/31,27/19) -> (31/19,80/49) Hyperbolic Matrix(321,-512,200,-319) (27/17,8/5) -> (8/5,37/23) Parabolic Matrix(681,-1156,400,-679) (22/13,17/10) -> (17/10,46/27) Parabolic Matrix(361,-648,200,-359) (34/19,9/5) -> (9/5,38/21) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,4,0,1) -> Matrix(1,0,0,1) Matrix(279,532,440,839) -> Matrix(1,-2,0,1) Matrix(439,828,360,679) -> Matrix(1,0,0,1) Matrix(359,668,-280,-521) -> Matrix(1,-2,0,1) Matrix(321,592,-520,-959) -> Matrix(1,0,0,1) Matrix(281,512,-680,-1239) -> Matrix(1,0,-2,1) Matrix(441,800,640,1161) -> Matrix(3,-2,-4,3) Matrix(201,364,-640,-1159) -> Matrix(1,0,0,1) Matrix(239,428,-760,-1361) -> Matrix(5,-6,6,-7) Matrix(1199,2144,760,1359) -> Matrix(5,-6,6,-7) Matrix(361,644,-560,-999) -> Matrix(3,-4,-2,3) Matrix(201,356,520,921) -> Matrix(5,-8,2,-3) Matrix(679,1200,520,919) -> Matrix(1,-2,8,-15) Matrix(41,72,160,281) -> Matrix(1,-2,0,1) Matrix(39,68,160,279) -> Matrix(1,0,0,1) Matrix(841,1460,1360,2361) -> Matrix(1,-2,0,1) Matrix(599,1036,-440,-761) -> Matrix(1,0,0,1) Matrix(919,1584,-720,-1241) -> Matrix(1,-2,0,1) Matrix(681,1172,1000,1721) -> Matrix(1,-2,0,1) Matrix(1439,2476,3440,5919) -> Matrix(1,-2,2,-3) Matrix(319,548,-280,-481) -> Matrix(1,-2,0,1) Matrix(159,272,280,479) -> Matrix(1,-2,0,1) Matrix(521,888,-680,-1159) -> Matrix(1,-4,2,-7) Matrix(399,676,-520,-881) -> Matrix(1,2,2,5) Matrix(521,880,640,1081) -> Matrix(1,0,0,1) Matrix(121,204,-640,-1079) -> Matrix(1,0,2,1) Matrix(41,68,-120,-199) -> Matrix(1,-2,2,-3) Matrix(681,1120,560,921) -> Matrix(1,2,0,1) Matrix(559,916,-440,-721) -> Matrix(1,0,0,1) Matrix(199,324,-320,-521) -> Matrix(1,0,-2,1) Matrix(439,712,320,519) -> Matrix(1,0,0,1) Matrix(1001,1620,1360,2201) -> Matrix(1,0,0,1) Matrix(601,972,520,841) -> Matrix(1,-2,2,-3) Matrix(119,192,520,839) -> Matrix(1,0,0,1) Matrix(319,512,-200,-321) -> Matrix(3,-2,2,-1) Matrix(881,1400,-1560,-2479) -> Matrix(1,-2,4,-7) Matrix(121,192,-680,-1079) -> Matrix(1,-2,2,-3) Matrix(961,1520,3440,5441) -> Matrix(1,-2,2,-3) Matrix(959,1516,1720,2719) -> Matrix(1,0,-2,1) Matrix(2079,3284,-1520,-2401) -> Matrix(3,-4,4,-5) Matrix(1359,2144,760,1199) -> Matrix(5,-6,6,-7) Matrix(599,944,1040,1639) -> Matrix(1,-2,2,-3) Matrix(199,312,280,439) -> Matrix(1,-2,2,-3) Matrix(479,748,-1640,-2561) -> Matrix(5,-14,4,-11) Matrix(1039,1620,-2720,-4241) -> Matrix(1,-2,2,-3) Matrix(199,308,-440,-681) -> Matrix(1,4,0,1) Matrix(161,248,520,801) -> Matrix(3,-2,2,-1) Matrix(719,1104,-1720,-2641) -> Matrix(1,-2,0,1) Matrix(199,304,-760,-1161) -> Matrix(1,0,0,1) Matrix(79,116,-600,-881) -> Matrix(1,-2,2,-3) Matrix(959,1404,-1640,-2401) -> Matrix(1,2,2,5) Matrix(359,524,520,759) -> Matrix(1,0,-2,1) Matrix(199,288,-360,-521) -> Matrix(1,4,2,9) Matrix(361,520,-1360,-1959) -> Matrix(1,2,0,1) Matrix(439,632,-1640,-2361) -> Matrix(1,4,0,1) Matrix(81,116,280,401) -> Matrix(1,0,2,1) Matrix(599,852,-760,-1081) -> Matrix(1,0,6,1) Matrix(1239,1760,-2000,-2841) -> Matrix(1,0,2,1) Matrix(761,1080,1720,2441) -> Matrix(3,-2,2,-1) Matrix(2479,3516,3440,4879) -> Matrix(1,0,2,1) Matrix(1041,1472,-1640,-2319) -> Matrix(1,0,0,1) Matrix(801,1132,680,961) -> Matrix(1,0,2,1) Matrix(279,392,-200,-281) -> Matrix(1,0,2,1) Matrix(1159,1612,-1640,-2281) -> Matrix(1,-2,2,-3) Matrix(401,556,520,721) -> Matrix(1,0,0,1) Matrix(119,164,-320,-441) -> Matrix(1,0,0,1) Matrix(519,712,320,439) -> Matrix(3,-2,2,-1) Matrix(79,108,760,1039) -> Matrix(11,-10,10,-9) Matrix(961,1312,-1640,-2239) -> Matrix(3,-4,10,-13) Matrix(1121,1524,-2000,-2719) -> Matrix(1,-2,4,-7) Matrix(121,164,-560,-759) -> Matrix(1,-2,0,1) Matrix(279,368,1000,1319) -> Matrix(1,-2,2,-3) Matrix(919,1208,760,999) -> Matrix(1,0,0,1) Matrix(281,368,520,681) -> Matrix(1,0,0,1) Matrix(519,676,-400,-521) -> Matrix(1,-6,0,1) Matrix(1201,1556,680,881) -> Matrix(1,2,2,5) Matrix(121,156,280,361) -> Matrix(1,2,0,1) Matrix(559,716,2560,3279) -> Matrix(1,2,-2,-3) Matrix(2001,2560,3440,4401) -> Matrix(1,0,2,1) Matrix(319,408,1000,1279) -> Matrix(1,2,0,1) Matrix(439,560,-1600,-2041) -> Matrix(1,2,0,1) Matrix(2879,3652,-4920,-6241) -> Matrix(1,2,2,5) Matrix(2559,3244,1640,2079) -> Matrix(3,2,4,3) Matrix(519,656,1360,1719) -> Matrix(1,2,0,1) Matrix(121,152,160,201) -> Matrix(1,0,0,1) Matrix(201,248,-680,-839) -> Matrix(7,8,6,7) Matrix(319,392,520,639) -> Matrix(3,2,-2,-1) Matrix(679,828,360,439) -> Matrix(1,0,2,1) Matrix(801,976,920,1121) -> Matrix(1,0,0,1) Matrix(921,1120,560,681) -> Matrix(5,2,2,1) Matrix(439,532,-760,-921) -> Matrix(1,0,6,1) Matrix(601,716,-1040,-1239) -> Matrix(1,0,0,1) Matrix(199,236,640,759) -> Matrix(7,-2,4,-1) Matrix(961,1132,680,801) -> Matrix(3,-2,2,-1) Matrix(41,48,240,281) -> Matrix(3,-2,2,-1) Matrix(841,972,520,601) -> Matrix(1,0,0,1) Matrix(441,508,-520,-599) -> Matrix(1,-2,0,1) Matrix(719,812,920,1039) -> Matrix(3,-2,2,-1) Matrix(79,88,-360,-401) -> Matrix(1,0,0,1) Matrix(719,652,440,399) -> Matrix(3,-2,2,-1) Matrix(1241,1112,760,681) -> Matrix(1,0,0,1) Matrix(439,388,-680,-601) -> Matrix(1,-2,0,1) Matrix(79,68,-280,-241) -> Matrix(3,-2,2,-1) Matrix(239,204,280,239) -> Matrix(1,-2,0,1) Matrix(919,780,800,679) -> Matrix(1,2,2,5) Matrix(199,168,520,439) -> Matrix(1,2,0,1) Matrix(439,364,240,199) -> Matrix(1,2,0,1) Matrix(281,232,1600,1321) -> Matrix(1,2,0,1) Matrix(1121,924,1360,1121) -> Matrix(1,0,0,1) Matrix(399,328,680,559) -> Matrix(1,2,0,1) Matrix(201,164,-440,-359) -> Matrix(5,2,2,1) Matrix(159,128,-200,-161) -> Matrix(1,0,8,1) Matrix(521,412,760,601) -> Matrix(1,0,-6,1) Matrix(559,440,1320,1039) -> Matrix(1,0,-4,1) Matrix(199,156,560,439) -> Matrix(1,0,-4,1) Matrix(721,564,-2760,-2159) -> Matrix(7,-2,4,-1) Matrix(4401,3440,2560,2001) -> Matrix(7,-2,18,-5) Matrix(41,32,360,281) -> Matrix(13,-4,10,-3) Matrix(481,372,-1240,-959) -> Matrix(1,0,0,1) Matrix(721,556,520,401) -> Matrix(5,-2,8,-3) Matrix(199,152,-1520,-1161) -> Matrix(5,-2,8,-3) Matrix(839,640,-3200,-2441) -> Matrix(3,-2,2,-1) Matrix(201,152,160,121) -> Matrix(1,0,-2,1) Matrix(199,148,160,119) -> Matrix(3,-2,2,-1) Matrix(401,296,760,561) -> Matrix(3,-2,2,-1) Matrix(759,560,-3200,-2361) -> Matrix(3,-2,2,-1) Matrix(2201,1620,1360,1001) -> Matrix(3,-2,2,-1) Matrix(599,440,1360,999) -> Matrix(5,-4,4,-3) Matrix(159,116,-440,-321) -> Matrix(1,0,2,1) Matrix(199,144,-720,-521) -> Matrix(3,-2,2,-1) Matrix(1319,952,2160,1559) -> Matrix(5,-2,-2,1) Matrix(1681,1212,1000,721) -> Matrix(1,0,-2,1) Matrix(4879,3516,3440,2479) -> Matrix(1,0,-2,1) Matrix(2759,1988,-4720,-3401) -> Matrix(1,0,0,1) Matrix(39,28,-280,-201) -> Matrix(1,0,0,1) Matrix(439,312,280,199) -> Matrix(1,0,0,1) Matrix(921,652,1640,1161) -> Matrix(3,-2,2,-1) Matrix(1041,736,-3280,-2319) -> Matrix(1,0,0,1) Matrix(279,196,-400,-281) -> Matrix(7,-6,6,-5) Matrix(121,84,520,361) -> Matrix(1,-2,2,-3) Matrix(759,524,520,359) -> Matrix(1,-2,0,1) Matrix(1161,800,640,441) -> Matrix(3,-2,2,-1) Matrix(519,356,640,439) -> Matrix(1,-2,0,1) Matrix(721,492,1760,1201) -> Matrix(1,-2,0,1) Matrix(1721,1172,1000,681) -> Matrix(1,-2,2,-3) Matrix(79,52,120,79) -> Matrix(1,-2,0,1) Matrix(321,208,-1480,-959) -> Matrix(1,4,0,1) Matrix(2359,1524,3280,2119) -> Matrix(1,2,0,1) Matrix(119,76,-440,-281) -> Matrix(1,2,0,1) Matrix(2081,1320,-5800,-3679) -> Matrix(1,2,2,5) Matrix(1881,1192,-4480,-2839) -> Matrix(1,0,2,1) Matrix(639,404,-1520,-961) -> Matrix(1,0,0,1) Matrix(121,76,320,201) -> Matrix(1,2,0,1) Matrix(5519,3424,3480,2159) -> Matrix(11,2,16,3) Matrix(761,472,840,521) -> Matrix(1,0,8,1) Matrix(1039,644,1160,719) -> Matrix(1,0,-8,1) Matrix(2361,1460,1360,841) -> Matrix(1,0,2,1) Matrix(1521,940,2720,1681) -> Matrix(1,0,-2,1) Matrix(201,124,-1360,-839) -> Matrix(1,-2,2,-3) Matrix(639,392,520,319) -> Matrix(1,0,2,1) Matrix(281,172,-1240,-759) -> Matrix(1,0,2,1) Matrix(119,72,-200,-121) -> Matrix(1,0,6,1) Matrix(1761,1040,2440,1441) -> Matrix(1,0,-2,1) Matrix(7321,4320,12000,7081) -> Matrix(9,-2,-4,1) Matrix(2041,1204,-6440,-3799) -> Matrix(5,-2,8,-3) Matrix(679,400,1560,919) -> Matrix(1,0,-4,1) Matrix(559,328,680,399) -> Matrix(1,0,-4,1) Matrix(41,24,480,281) -> Matrix(5,-2,8,-3) Matrix(4519,2644,7040,4119) -> Matrix(5,-2,8,-3) Matrix(921,536,1720,1001) -> Matrix(3,-2,2,-1) Matrix(4401,2560,3440,2001) -> Matrix(1,0,-2,1) Matrix(3999,2324,-7160,-4161) -> Matrix(1,0,2,1) Matrix(2679,1556,1720,999) -> Matrix(1,-2,2,-3) Matrix(559,324,-1520,-881) -> Matrix(1,0,-4,1) Matrix(1999,1156,1520,879) -> Matrix(1,0,0,1) Matrix(1639,944,1040,599) -> Matrix(5,-2,8,-3) Matrix(681,392,1600,921) -> Matrix(1,0,-2,1) Matrix(321,184,560,321) -> Matrix(1,0,-2,1) Matrix(479,272,280,159) -> Matrix(1,0,0,1) Matrix(1559,880,-5600,-3161) -> Matrix(7,-2,4,-1) Matrix(561,316,1280,721) -> Matrix(1,0,-2,1) Matrix(1161,652,1640,921) -> Matrix(1,0,0,1) Matrix(10399,5832,6560,3679) -> Matrix(9,-2,14,-3) Matrix(6521,3656,8920,5001) -> Matrix(5,-2,8,-3) Matrix(1681,940,2720,1521) -> Matrix(5,-2,-2,1) Matrix(6361,3552,14400,8041) -> Matrix(7,-2,4,-1) Matrix(12159,6788,20920,11679) -> Matrix(1,0,-2,1) Matrix(2719,1516,1720,959) -> Matrix(1,0,-2,1) Matrix(1161,640,800,441) -> Matrix(17,-8,-2,1) Matrix(241,132,440,241) -> Matrix(11,-6,2,-1) Matrix(81,44,-440,-239) -> Matrix(3,-2,8,-5) Matrix(961,516,-2680,-1439) -> Matrix(5,-4,14,-11) Matrix(1001,536,1720,921) -> Matrix(5,-4,4,-3) Matrix(279,148,1280,679) -> Matrix(1,0,-2,1) Matrix(561,296,760,401) -> Matrix(3,-2,2,-1) Matrix(161,76,680,321) -> Matrix(1,0,0,1) Matrix(521,244,600,281) -> Matrix(1,0,-2,1) Matrix(481,224,1720,801) -> Matrix(3,-4,4,-5) Matrix(681,316,1640,761) -> Matrix(1,-2,2,-3) Matrix(879,404,520,239) -> Matrix(1,-2,0,1) Matrix(1241,560,800,361) -> Matrix(1,-10,2,-19) Matrix(161,72,360,161) -> Matrix(1,4,0,1) Matrix(2441,1080,1720,761) -> Matrix(1,2,0,1) Matrix(2999,1324,-7160,-3161) -> Matrix(1,2,0,1) Matrix(999,440,1360,599) -> Matrix(3,4,2,3) Matrix(1201,528,1640,721) -> Matrix(5,4,6,5) Matrix(721,316,1280,561) -> Matrix(1,0,2,1) Matrix(761,332,-2840,-1239) -> Matrix(5,2,2,1) Matrix(1121,488,1840,801) -> Matrix(3,2,-2,-1) Matrix(361,156,280,121) -> Matrix(1,0,-2,1) Matrix(921,392,1600,681) -> Matrix(1,0,0,1) Matrix(1121,476,2640,1121) -> Matrix(1,0,0,1) Matrix(1481,628,1040,441) -> Matrix(1,0,0,1) Matrix(161,68,760,321) -> Matrix(1,0,0,1) Matrix(1439,604,760,319) -> Matrix(1,0,0,1) Matrix(2481,1040,1720,721) -> Matrix(1,2,0,1) Matrix(14881,6232,25600,10721) -> Matrix(1,0,0,1) Matrix(7719,3232,17480,7319) -> Matrix(3,-2,2,-1) Matrix(5919,2476,3440,1439) -> Matrix(1,-2,2,-3) Matrix(2281,952,1440,601) -> Matrix(1,-2,2,-3) Matrix(761,316,1640,681) -> Matrix(1,0,0,1) Matrix(2719,1128,4240,1759) -> Matrix(1,0,2,1) Matrix(599,248,1640,679) -> Matrix(1,2,0,1) Matrix(959,396,1160,479) -> Matrix(1,0,0,1) Matrix(79,32,-200,-81) -> Matrix(1,0,4,1) Matrix(481,188,1640,641) -> Matrix(5,-2,8,-3) Matrix(3281,1280,8000,3121) -> Matrix(5,-2,-2,1) Matrix(4001,1560,-14360,-5599) -> Matrix(3,-2,2,-1) Matrix(1119,436,1640,639) -> Matrix(1,0,-4,1) Matrix(3921,1520,6400,2481) -> Matrix(5,-2,-2,1) Matrix(2881,1116,3720,1441) -> Matrix(1,0,-2,1) Matrix(921,356,520,201) -> Matrix(5,-2,8,-3) Matrix(439,168,520,199) -> Matrix(1,0,-2,1) Matrix(4439,1696,7640,2919) -> Matrix(1,0,-2,1) Matrix(1719,656,1360,519) -> Matrix(1,0,-2,1) Matrix(201,76,320,121) -> Matrix(1,0,-2,1) Matrix(119,44,-760,-281) -> Matrix(1,0,2,1) Matrix(1319,484,-3600,-1321) -> Matrix(1,0,18,1) Matrix(481,176,440,161) -> Matrix(1,0,-8,1) Matrix(679,248,1640,599) -> Matrix(1,0,-6,1) Matrix(879,316,2000,719) -> Matrix(5,-2,8,-3) Matrix(9241,3312,14400,5161) -> Matrix(5,-2,8,-3) Matrix(15999,5732,21880,7839) -> Matrix(11,-4,14,-5) Matrix(4639,1660,2680,959) -> Matrix(5,-2,-2,1) Matrix(439,156,560,199) -> Matrix(1,0,-2,1) Matrix(239,84,680,239) -> Matrix(9,-4,-2,1) Matrix(1319,460,800,279) -> Matrix(15,-8,2,-1) Matrix(1279,408,1000,319) -> Matrix(3,-2,-4,3) Matrix(7839,2480,5560,1759) -> Matrix(7,-6,6,-5) Matrix(759,236,640,199) -> Matrix(3,-2,2,-1) Matrix(801,248,520,161) -> Matrix(5,-4,14,-11) Matrix(119,36,-400,-121) -> Matrix(15,-14,14,-13) Matrix(799,236,1080,319) -> Matrix(5,-6,6,-7) Matrix(559,164,1360,399) -> Matrix(5,-6,-4,5) Matrix(5841,1708,3560,1041) -> Matrix(3,-4,4,-5) Matrix(401,116,280,81) -> Matrix(1,-2,2,-3) Matrix(3119,876,2560,719) -> Matrix(1,-2,2,-3) Matrix(599,168,1280,359) -> Matrix(1,-2,2,-3) Matrix(801,224,1720,481) -> Matrix(1,-2,0,1) Matrix(5441,1520,3440,961) -> Matrix(1,-2,2,-3) Matrix(1319,368,1000,279) -> Matrix(1,-2,4,-7) Matrix(21959,6116,13640,3799) -> Matrix(3,-2,2,-1) Matrix(1161,320,1600,441) -> Matrix(1,-2,2,-3) Matrix(5519,1516,3200,879) -> Matrix(1,-2,2,-3) Matrix(4401,1184,2680,721) -> Matrix(1,0,0,1) Matrix(18721,5032,25600,6881) -> Matrix(3,-4,4,-5) Matrix(10599,2848,16520,4439) -> Matrix(1,-2,2,-3) Matrix(2041,548,4920,1321) -> Matrix(1,-2,2,-3) Matrix(1961,520,4680,1241) -> Matrix(1,0,0,1) Matrix(1879,496,1360,359) -> Matrix(1,-2,2,-3) Matrix(4721,1240,6400,1681) -> Matrix(1,0,0,1) Matrix(5001,1312,6560,1721) -> Matrix(1,-2,0,1) Matrix(281,72,160,41) -> Matrix(1,-2,2,-3) Matrix(279,68,160,39) -> Matrix(1,0,2,1) Matrix(4881,1160,6400,1521) -> Matrix(1,0,-2,1) Matrix(4601,1092,6240,1481) -> Matrix(3,-2,2,-1) Matrix(321,76,680,161) -> Matrix(1,0,0,1) Matrix(479,112,680,159) -> Matrix(1,0,4,1) Matrix(839,192,520,119) -> Matrix(3,-2,2,-1) Matrix(1241,280,1600,361) -> Matrix(1,0,0,1) Matrix(1641,368,2680,601) -> Matrix(1,-2,0,1) Matrix(1161,256,2000,441) -> Matrix(1,0,0,1) Matrix(1721,376,920,201) -> Matrix(1,0,0,1) Matrix(679,148,1280,279) -> Matrix(1,0,0,1) Matrix(1239,268,920,199) -> Matrix(1,2,2,5) Matrix(321,68,760,161) -> Matrix(1,0,0,1) Matrix(39,8,-200,-41) -> Matrix(1,0,2,1) Matrix(2279,432,3160,599) -> Matrix(1,0,0,1) Matrix(839,156,640,119) -> Matrix(1,0,2,1) Matrix(1439,260,880,159) -> Matrix(3,-2,2,-1) Matrix(9281,1664,5360,961) -> Matrix(1,0,-2,1) Matrix(3441,616,2240,401) -> Matrix(1,0,2,1) Matrix(1321,232,1600,281) -> Matrix(1,0,-2,1) Matrix(321,56,1840,321) -> Matrix(3,-2,2,-1) Matrix(281,48,240,41) -> Matrix(1,0,0,1) Matrix(201,32,760,121) -> Matrix(1,0,-2,1) Matrix(79,12,520,79) -> Matrix(1,0,-2,1) Matrix(1479,220,800,119) -> Matrix(7,-4,2,-1) Matrix(1639,212,920,119) -> Matrix(13,-8,18,-11) Matrix(281,32,360,41) -> Matrix(5,-4,4,-3) Matrix(1201,128,760,81) -> Matrix(7,-6,6,-5) Matrix(601,56,440,41) -> Matrix(7,-8,8,-9) Matrix(201,-28,280,-39) -> Matrix(1,-2,2,-3) Matrix(519,-76,280,-41) -> Matrix(1,-2,0,1) Matrix(719,-112,520,-81) -> Matrix(1,-2,2,-3) Matrix(1079,-192,680,-121) -> Matrix(3,-4,4,-5) Matrix(239,-44,440,-81) -> Matrix(1,0,0,1) Matrix(41,-8,200,-39) -> Matrix(1,-2,0,1) Matrix(1281,-268,760,-159) -> Matrix(1,0,0,1) Matrix(759,-164,560,-121) -> Matrix(1,-2,2,-3) Matrix(401,-88,360,-79) -> Matrix(1,0,4,1) Matrix(759,-172,1240,-281) -> Matrix(1,-2,0,1) Matrix(2361,-560,3200,-759) -> Matrix(1,0,0,1) Matrix(1161,-304,760,-199) -> Matrix(1,0,2,1) Matrix(2441,-640,3200,-839) -> Matrix(1,0,0,1) Matrix(1959,-520,1360,-361) -> Matrix(5,2,2,1) Matrix(281,-76,440,-119) -> Matrix(1,0,-2,1) Matrix(521,-144,720,-199) -> Matrix(1,0,0,1) Matrix(3479,-968,2160,-601) -> Matrix(5,-4,4,-3) Matrix(241,-68,280,-79) -> Matrix(1,0,-2,1) Matrix(2561,-748,1640,-479) -> Matrix(1,0,0,1) Matrix(121,-36,400,-119) -> Matrix(9,-8,8,-7) Matrix(641,-196,520,-159) -> Matrix(3,-4,4,-5) Matrix(1159,-364,640,-201) -> Matrix(3,-2,2,-1) Matrix(2481,-788,1760,-559) -> Matrix(1,0,0,1) Matrix(199,-68,120,-41) -> Matrix(1,-2,0,1) Matrix(321,-116,440,-159) -> Matrix(1,-2,2,-3) Matrix(2599,-952,4480,-1641) -> Matrix(1,-2,0,1) Matrix(881,-324,1520,-559) -> Matrix(1,0,0,1) Matrix(441,-164,320,-119) -> Matrix(1,-2,2,-3) Matrix(4241,-1620,2720,-1039) -> Matrix(1,-4,2,-7) Matrix(959,-372,1240,-481) -> Matrix(1,-2,0,1) Matrix(81,-32,200,-79) -> Matrix(1,-4,0,1) Matrix(19321,-7920,12000,-4919) -> Matrix(3,4,2,3) Matrix(1239,-512,680,-281) -> Matrix(1,2,0,1) Matrix(2641,-1104,1720,-719) -> Matrix(1,0,4,1) Matrix(3161,-1324,7160,-2999) -> Matrix(3,-2,2,-1) Matrix(961,-404,1520,-639) -> Matrix(1,0,0,1) Matrix(1841,-804,1280,-559) -> Matrix(3,-2,2,-1) Matrix(681,-308,440,-199) -> Matrix(1,4,2,9) Matrix(359,-164,440,-201) -> Matrix(1,0,0,1) Matrix(2321,-1244,1640,-879) -> Matrix(1,0,0,1) Matrix(521,-288,360,-199) -> Matrix(1,4,0,1) Matrix(4161,-2324,7160,-3999) -> Matrix(1,0,2,1) Matrix(2841,-1592,1640,-919) -> Matrix(1,0,-2,1) Matrix(2961,-1672,1840,-1039) -> Matrix(3,-2,2,-1) Matrix(921,-532,760,-439) -> Matrix(1,0,0,1) Matrix(2401,-1404,1640,-959) -> Matrix(1,0,-2,1) Matrix(6959,-4072,4240,-2481) -> Matrix(3,-2,2,-1) Matrix(2239,-1312,1640,-961) -> Matrix(5,-6,6,-7) Matrix(121,-72,200,-119) -> Matrix(1,-4,0,1) Matrix(11281,-6880,8000,-4879) -> Matrix(3,4,2,3) Matrix(959,-592,520,-321) -> Matrix(1,2,0,1) Matrix(521,-324,320,-199) -> Matrix(1,2,0,1) Matrix(2281,-1444,3600,-2279) -> Matrix(1,-2,0,1) Matrix(2319,-1472,1640,-1041) -> Matrix(1,2,0,1) Matrix(2879,-1844,2000,-1281) -> Matrix(7,-2,4,-1) Matrix(999,-644,560,-361) -> Matrix(3,-4,4,-5) Matrix(919,-596,680,-441) -> Matrix(1,-6,2,-11) Matrix(281,-196,400,-279) -> Matrix(1,0,8,1) Matrix(1919,-1356,1360,-961) -> Matrix(7,-2,4,-1) Matrix(1879,-1352,1280,-921) -> Matrix(1,0,0,1) Matrix(2521,-1816,1720,-1239) -> Matrix(1,0,-4,1) Matrix(2761,-2000,1600,-1159) -> Matrix(1,0,0,1) Matrix(6961,-5092,4920,-3599) -> Matrix(5,-4,4,-3) Matrix(1001,-764,680,-519) -> Matrix(1,0,0,1) Matrix(1159,-888,680,-521) -> Matrix(1,0,4,1) Matrix(1959,-1532,1280,-1001) -> Matrix(1,-2,2,-3) Matrix(1081,-852,760,-599) -> Matrix(1,0,0,1) Matrix(161,-128,200,-159) -> Matrix(1,-2,0,1) Matrix(599,-508,520,-441) -> Matrix(1,-2,2,-3) Matrix(641,-568,360,-319) -> Matrix(7,2,10,3) Matrix(481,-548,280,-319) -> Matrix(1,0,0,1) Matrix(241,-288,200,-239) -> Matrix(3,-2,2,-1) Matrix(721,-916,440,-559) -> Matrix(1,2,0,1) Matrix(1241,-1584,720,-919) -> Matrix(1,0,2,1) Matrix(521,-668,280,-359) -> Matrix(1,0,2,1) Matrix(521,-676,400,-519) -> Matrix(1,0,14,1) Matrix(761,-1036,440,-599) -> Matrix(3,-2,2,-1) Matrix(2401,-3284,1520,-2079) -> Matrix(3,-4,4,-5) Matrix(281,-392,200,-279) -> Matrix(5,-4,4,-3) Matrix(2481,-3524,1520,-2159) -> Matrix(1,0,0,1) Matrix(321,-512,200,-319) -> Matrix(7,-6,6,-5) Matrix(681,-1156,400,-679) -> Matrix(1,0,6,1) Matrix(361,-648,200,-359) -> Matrix(9,-8,8,-7) 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): 72 Degree of the the map X: 72 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 -3/2 1/0 1 10 -22/15 1/0 2 4 -19/13 0 20 -16/11 0 20 -13/9 -2/1 1 20 -36/25 1/0 1 4 -23/16 0 10 -10/7 -1/1 1 20 -27/19 0/1 1 20 -44/31 0 20 -61/43 0 20 -17/12 1/0 1 10 -24/17 0 20 -7/5 0/1 1 4 -32/23 0 20 -25/18 1/1 1 10 -18/13 1/1 1 20 -11/8 0 10 -15/11 2/1 1 20 -19/14 2/1 1 10 -4/3 0 20 -21/16 0 10 -17/13 2/1 1 20 -13/10 1/0 3 2 -22/17 -3/1 1 20 -9/7 0 20 -32/25 -1/1 3 4 -55/43 0/1 1 20 -23/18 (-1/2,1/0) 0 10 -14/11 -1/1 1 20 -33/26 -1/1 1 10 -19/15 0/1 1 4 -24/19 0 20 -5/4 1/0 1 10 -16/13 0 20 -11/9 0 20 -17/14 (-1/2,-1/4) 0 10 -6/5 0/1 3 4 -19/16 0 10 -13/11 0 20 -7/6 1/1 1 10 -8/7 0 20 -17/15 0/1 3 4 -9/8 0 10 -1/1 0/1 1 20 -8/9 0 20 -7/8 0 10 -6/7 1/1 1 20 -17/20 1/0 3 2 -11/13 0 20 -5/6 1/0 1 10 -33/40 (-1/2,1/0) 0 2 -14/17 -1/1 1 20 -9/11 0 20 -13/16 0 10 -4/5 0/1 4 4 -19/24 0 10 -15/19 0/1 1 20 -26/33 1/5 1 20 -11/14 0/1 1 10 -18/23 1/3 1 20 -25/32 0 10 -7/9 0 20 -10/13 1/3 1 20 -23/30 1/2 3 2 -13/17 0/1 1 20 -3/4 1/2 1 10 -14/19 1/1 1 20 -11/15 1/1 3 4 -8/11 0 20 -13/18 0/1 1 10 -31/43 0/1 1 20 -18/25 1/2 2 4 -5/7 0 20 -12/17 0 20 -7/10 1/1 3 2 -16/23 0 20 -9/13 2/1 1 20 -11/16 0 10 -13/19 0 20 -15/22 1/1 1 10 -2/3 1/1 1 20 -13/20 1/0 7 2 -11/17 0 20 -31/48 0 10 -20/31 0 20 -9/14 (-1/2,1/0) 0 10 -7/11 0/1 1 20 -26/41 -1/1 1 20 -19/30 0/1 1 2 -12/19 0 20 -5/8 0 10 -18/29 -1/3 1 20 -31/50 0/1 8 2 -44/71 0 20 -13/21 0/1 1 20 -34/55 0/1 3 4 -21/34 0/1 1 10 -29/47 0 20 -8/13 0 20 -11/18 -1/2 1 10 -3/5 0/1 3 4 -13/22 1/4 1 10 -36/61 0 20 -59/100 1/4 1 2 -23/39 0/1 1 20 -10/17 1/3 1 20 -17/29 2/7 1 20 -41/70 1/3 8 2 -24/41 0 20 -31/53 0 20 -7/12 1/2 1 10 -25/43 0 20 -18/31 -1/1 1 20 -11/19 0/1 1 20 -26/45 0/1 3 4 -15/26 (1/4,1/2) 0 10 -23/40 (1/4,1/2) 0 2 -4/7 0 20 -13/23 0 20 -35/62 0/1 1 10 -22/39 1/3 1 20 -9/16 0 10 -23/41 0 20 -60/107 0 20 -37/66 0/1 1 10 -14/25 1/3 1 4 -19/34 1/2 1 10 -67/120 (1/4,1/2) 0 2 -24/43 0 20 -5/9 2/5 1 20 -11/20 1/2 9 2 -6/11 3/5 1 20 -7/13 0 20 -15/28 3/4 1 10 -8/15 1/1 3 4 -9/17 2/3 1 20 -1/2 1/1 1 10 -8/17 0 20 -7/15 1/1 2 4 -13/28 3/2 1 10 -6/13 1/1 1 20 -11/24 0 10 -5/11 0 20 -14/31 7/1 1 20 -9/20 1/0 9 2 -4/9 0 20 -15/34 (-3/2,1/0) 0 10 -11/25 -1/1 4 4 -18/41 -1/1 1 20 -7/16 0 10 -3/7 0/1 1 20 -17/40 (1/2,1/0) 0 2 -11/26 1/0 1 10 -8/19 0 20 -21/50 0/1 1 2 -34/81 1/1 1 20 -13/31 0 20 -31/74 (1/2,1/0) 0 10 -67/160 (1/2,1/0) 0 2 -18/43 1/1 1 20 -23/55 1/0 2 4 -28/67 0 20 -5/12 1/0 1 10 -22/53 -1/1 1 20 -17/41 0/1 1 20 -12/29 0 20 -19/46 0/1 1 10 -7/17 0 20 -2/5 0/1 2 4 -9/23 0 20 -16/41 0 20 -39/100 1/2 1 2 -23/59 0/1 1 20 -7/18 (1/4,1/2) 0 10 -31/80 (1/4,1/2) 0 2 -12/31 0 20 -5/13 0/1 1 20 -13/34 0/1 1 10 -8/21 0 20 -3/8 0 10 -10/27 1/1 1 20 -7/19 0/1 1 20 -18/49 -1/5 1 20 -11/30 0/1 9 2 -15/41 0 20 -4/11 0 20 -9/25 1/3 3 4 -14/39 1/3 1 20 -19/53 0 20 -43/120 (3/8,1/2) 0 2 -5/14 1/2 1 10 -6/17 3/7 1 20 -7/20 1/2 7 2 -1/3 0 20 -6/19 1/1 1 20 -11/35 1/1 3 4 -5/16 0 10 -4/13 0 20 -3/10 1/1 7 2 -8/27 0 20 -13/44 7/6 1 10 -5/17 6/5 1 20 -12/41 0 20 -7/24 0 10 -2/7 1/1 1 20 -9/32 0 10 -7/25 2/1 1 4 -19/68 1/0 1 10 -12/43 0 20 -17/61 2/1 1 20 -39/140 1/0 1 2 -22/79 1/1 1 20 -5/18 2/1 1 10 -8/29 0 20 -11/40 (3/2,1/0) 0 2 -3/11 2/1 1 20 -7/26 (3/2,1/0) 0 10 -43/160 (3/2,1/0) 0 2 -18/67 1/1 1 20 -11/41 0 20 -15/56 0 10 -4/15 1/0 1 4 -13/49 0/1 1 20 -9/34 1/1 1 10 -5/19 0 20 -21/80 (3/2,1/0) 0 2 -11/42 1/0 1 10 -6/23 1/1 1 20 -1/4 1/0 1 10 -5/21 0/1 1 20 -19/80 (1/2,1/0) 0 2 -9/38 (1/2,1/0) 0 10 -4/17 0 20 -3/13 0 20 -5/22 1/0 1 10 -9/40 (1/2,1/0) 0 2 -2/9 1/1 1 20 -9/41 0/1 1 20 -7/32 0 10 -12/55 1/1 1 4 -5/23 0 20 -13/60 1/0 7 2 -8/37 0 20 -3/14 0/1 1 10 -4/19 0 20 -1/5 0/1 1 4 -4/21 0 20 -7/37 0 20 -3/16 0 10 -5/27 0 20 -2/11 1/1 1 20 -7/39 0/1 1 20 -12/67 0 20 -5/28 1/2 1 10 -3/17 0 20 -7/40 (1/2,1/0) 0 2 -1/6 (1/2,1/0) 0 10 -3/19 0/1 1 20 -2/13 1/3 1 20 -3/20 1/2 3 2 -4/27 0 20 -1/7 0 20 -2/15 1/2 2 4 -5/38 1/2 1 10 -3/23 2/3 1 20 -1/8 0 10 -1/9 4/5 1 20 -1/10 1/1 9 2 0/1 0 20 1/10 1/1 8 2 1/9 0 20 1/8 0 10 1/7 2/1 1 20 3/20 1/0 3 2 2/13 1/1 1 20 1/6 1/1 1 10 4/23 0 20 7/40 (3/2,1/0) 0 2 3/17 2/1 1 20 2/11 3/1 1 20 3/16 0 10 1/5 1/0 1 4 5/24 0 10 4/19 0 20 3/14 1/0 1 10 5/23 -2/1 1 20 12/55 -1/1 3 4 7/32 0 10 2/9 1/1 1 20 5/22 0/1 1 10 3/13 0/1 1 20 4/17 0 20 9/38 1/1 1 10 5/21 0 20 1/4 1/0 1 10 6/23 1/1 1 20 11/42 0/1 1 10 16/61 0 20 21/80 (-1/2,1/0) 0 2 5/19 0/1 1 20 9/34 (-1/2,1/0) 0 10 4/15 0/1 4 4 3/11 0 20 11/40 (1/2,1/0) 0 2 5/18 1/2 1 10 17/61 0 20 12/43 0 20 19/68 1/2 1 10 7/25 1/1 2 4 16/57 0 20 9/32 0 10 2/7 1/1 1 20 7/24 0 10 12/41 0 20 5/17 0 20 3/10 1/1 4 2 7/23 0 20 4/13 0 20 9/29 0 20 5/16 0 10 6/19 1/1 1 20 7/22 (3/2,1/0) 0 10 1/3 2/1 1 20 7/20 1/0 7 2 6/17 -1/1 1 20 5/14 0/1 1 10 24/67 0 20 43/120 (1/2,1/0) 0 2 19/53 0/1 1 20 14/39 1/1 1 20 9/25 1/1 4 4 4/11 0 20 15/41 2/1 1 20 11/30 1/0 1 2 7/19 0 20 3/8 0 10 8/21 0 20 21/55 2/1 1 4 13/34 1/0 1 10 5/13 0 20 12/31 0 20 31/80 (5/2,1/0) 0 2 19/49 2/1 1 20 7/18 3/1 1 10 2/5 1/0 2 4 9/22 -1/1 1 10 25/61 0 20 41/100 1/0 1 2 16/39 0 20 7/17 0/1 1 20 12/29 0 20 17/41 0 20 22/53 1/1 1 20 5/12 1/0 1 10 23/55 0/1 3 4 18/43 1/1 1 20 31/74 1/1 1 10 13/31 0/1 1 20 34/81 1/1 1 20 21/50 1/0 1 2 8/19 0 20 11/26 0/1 1 10 14/33 1/1 1 20 17/40 (1/2,1/0) 0 2 3/7 0 20 10/23 -1/1 1 20 17/39 0/1 1 20 7/16 0 10 18/41 1/1 1 20 11/25 1/1 3 4 15/34 1/1 1 10 34/77 1/1 1 20 53/120 (3/2,1/0) 0 2 19/43 0 20 4/9 0 20 9/20 1/0 9 2 5/11 -2/1 1 20 11/24 0 10 6/13 -1/1 1 20 13/28 1/0 1 10 7/15 0/1 1 4 8/17 0 20 1/2 (1/2,1/0) 0 10 1/0 (1/2,1/0) 0 2 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,3,0,-1) (-3/2,1/0) -> (-3/2,1/0) Reflection Matrix(79,116,-600,-881) (-3/2,-22/15) -> (-2/15,-5/38) Hyperbolic Matrix(719,1053,-1720,-2519) (-22/15,-19/13) -> (-23/55,-28/67) Glide Reflection Matrix(161,235,520,759) (-19/13,-16/11) -> (4/13,9/29) Glide Reflection Matrix(199,289,-440,-639) (-16/11,-13/9) -> (-5/11,-14/31) Glide Reflection Matrix(361,520,-1360,-1959) (-13/9,-36/25) -> (-4/15,-13/49) Hyperbolic Matrix(439,632,-1640,-2361) (-36/25,-23/16) -> (-15/56,-4/15) Hyperbolic Matrix(81,116,280,401) (-23/16,-10/7) -> (2/7,7/24) Hyperbolic Matrix(599,852,-760,-1081) (-10/7,-27/19) -> (-15/19,-26/33) Hyperbolic Matrix(1239,1760,-2000,-2841) (-27/19,-44/31) -> (-44/71,-13/21) Hyperbolic Matrix(761,1080,1720,2441) (-44/31,-61/43) -> (19/43,4/9) Hyperbolic Matrix(961,1363,3440,4879) (-61/43,-17/12) -> (12/43,19/68) Glide Reflection Matrix(121,171,-680,-961) (-17/12,-24/17) -> (-5/28,-3/17) Glide Reflection Matrix(279,392,-200,-281) (-24/17,-7/5) -> (-7/5,-32/23) Parabolic Matrix(1039,1445,-1840,-2559) (-32/23,-25/18) -> (-13/23,-35/62) Glide Reflection Matrix(119,165,520,721) (-25/18,-18/13) -> (5/22,3/13) Glide Reflection Matrix(119,164,-320,-441) (-18/13,-11/8) -> (-3/8,-10/27) Hyperbolic Matrix(199,273,-320,-439) (-11/8,-15/11) -> (-5/8,-18/29) Glide Reflection Matrix(559,761,-440,-599) (-15/11,-19/14) -> (-14/11,-33/26) Glide Reflection Matrix(121,164,-560,-759) (-19/14,-4/3) -> (-8/37,-3/14) Hyperbolic Matrix(121,159,-640,-841) (-4/3,-21/16) -> (-7/37,-3/16) Glide Reflection Matrix(239,313,520,681) (-21/16,-17/13) -> (11/24,6/13) Glide Reflection Matrix(399,521,-520,-679) (-17/13,-13/10) -> (-10/13,-23/30) Glide Reflection Matrix(521,675,-680,-881) (-13/10,-22/17) -> (-23/30,-13/17) Glide Reflection Matrix(121,156,280,361) (-22/17,-9/7) -> (3/7,10/23) Hyperbolic Matrix(319,409,-280,-359) (-9/7,-32/25) -> (-8/7,-17/15) Glide Reflection Matrix(1439,1841,3440,4401) (-32/25,-55/43) -> (23/55,18/43) Glide Reflection Matrix(319,408,1000,1279) (-55/43,-23/18) -> (7/22,1/3) Hyperbolic Matrix(919,1173,-720,-919) (-23/18,-51/40) -> (-23/18,-51/40) Reflection Matrix(241,307,-880,-1121) (-37/29,-14/11) -> (-14/51,-3/11) Glide Reflection Matrix(919,1165,-1640,-2079) (-33/26,-19/15) -> (-37/66,-14/25) Glide Reflection Matrix(519,656,1360,1719) (-19/15,-24/19) -> (8/21,21/55) Hyperbolic Matrix(39,49,160,201) (-24/19,-5/4) -> (5/21,1/4) Glide Reflection Matrix(201,248,-680,-839) (-5/4,-16/13) -> (-8/27,-13/44) Hyperbolic Matrix(201,247,520,639) (-16/13,-11/9) -> (5/13,12/31) Glide Reflection Matrix(361,439,-560,-681) (-11/9,-17/14) -> (-20/31,-9/14) Glide Reflection Matrix(439,532,-760,-921) (-17/14,-6/5) -> (-26/45,-15/26) Hyperbolic Matrix(201,239,-640,-761) (-6/5,-19/16) -> (-11/35,-5/16) Glide Reflection Matrix(199,236,640,759) (-19/16,-13/11) -> (9/29,5/16) Hyperbolic Matrix(281,331,-680,-801) (-13/11,-7/6) -> (-12/29,-19/46) Glide Reflection Matrix(321,371,-520,-601) (-7/6,-8/7) -> (-21/34,-29/47) Glide Reflection Matrix(201,227,920,1039) (-17/15,-9/8) -> (12/55,7/32) Glide Reflection Matrix(79,88,-360,-401) (-9/8,-1/1) -> (-9/41,-7/32) Hyperbolic Matrix(319,285,-760,-679) (-1/1,-8/9) -> (-34/81,-13/31) Glide Reflection Matrix(439,388,-680,-601) (-8/9,-7/8) -> (-31/48,-20/31) Hyperbolic Matrix(79,68,-280,-241) (-7/8,-6/7) -> (-2/7,-9/32) Hyperbolic Matrix(41,35,280,239) (-6/7,-17/20) -> (1/7,3/20) Glide Reflection Matrix(119,101,-800,-679) (-17/20,-11/13) -> (-3/20,-4/27) Glide Reflection Matrix(199,168,520,439) (-11/13,-5/6) -> (13/34,5/13) Hyperbolic Matrix(199,165,-240,-199) (-5/6,-33/40) -> (-5/6,-33/40) Reflection Matrix(239,197,1360,1121) (-33/40,-14/17) -> (7/40,3/17) Glide Reflection Matrix(281,231,680,559) (-14/17,-9/11) -> (7/17,12/29) Glide Reflection Matrix(201,164,-440,-359) (-9/11,-13/16) -> (-11/24,-5/11) Hyperbolic Matrix(159,128,-200,-161) (-13/16,-4/5) -> (-4/5,-19/24) Parabolic Matrix(239,189,760,601) (-19/24,-15/19) -> (5/16,6/19) Glide Reflection Matrix(559,440,1320,1039) (-26/33,-11/14) -> (11/26,14/33) Hyperbolic Matrix(199,156,560,439) (-11/14,-18/23) -> (6/17,5/14) Hyperbolic Matrix(119,93,-920,-719) (-18/23,-25/32) -> (-3/23,-1/8) Glide Reflection Matrix(41,32,360,281) (-25/32,-7/9) -> (1/9,1/8) Hyperbolic Matrix(201,155,-520,-401) (-7/9,-10/13) -> (-12/31,-5/13) Glide Reflection Matrix(41,31,-160,-121) (-13/17,-3/4) -> (-6/23,-1/4) Glide Reflection Matrix(39,29,-160,-119) (-3/4,-14/19) -> (-1/4,-5/21) Glide Reflection Matrix(841,619,-1360,-1001) (-14/19,-11/15) -> (-13/21,-34/55) Glide Reflection Matrix(159,116,-440,-321) (-11/15,-8/11) -> (-4/11,-9/25) Hyperbolic Matrix(199,144,-720,-521) (-8/11,-13/18) -> (-5/18,-8/29) Hyperbolic Matrix(681,491,-1000,-721) (-13/18,-31/43) -> (-15/22,-2/3) Glide Reflection Matrix(1439,1037,-3440,-2479) (-31/43,-18/25) -> (-18/43,-23/55) Glide Reflection Matrix(39,28,-280,-201) (-18/25,-5/7) -> (-1/7,-2/15) Hyperbolic Matrix(159,113,-280,-199) (-5/7,-12/17) -> (-4/7,-13/23) Glide Reflection Matrix(279,196,-400,-281) (-12/17,-7/10) -> (-7/10,-16/23) Parabolic Matrix(121,84,520,361) (-16/23,-9/13) -> (3/13,4/17) Hyperbolic Matrix(239,165,-520,-359) (-9/13,-11/16) -> (-6/13,-11/24) Glide Reflection Matrix(159,109,760,521) (-11/16,-13/19) -> (5/24,4/19) Glide Reflection Matrix(721,492,1760,1201) (-13/19,-15/22) -> (9/22,25/61) Hyperbolic Matrix(41,27,120,79) (-2/3,-13/20) -> (1/3,7/20) Glide Reflection Matrix(321,208,-1480,-959) (-13/20,-11/17) -> (-5/23,-13/60) Hyperbolic Matrix(921,595,3280,2119) (-11/17,-31/48) -> (16/57,9/32) Glide Reflection Matrix(119,76,-440,-281) (-9/14,-7/11) -> (-3/11,-7/26) Hyperbolic Matrix(159,101,-880,-559) (-7/11,-26/41) -> (-2/11,-7/39) Glide Reflection Matrix(1881,1192,-4480,-2839) (-26/41,-19/30) -> (-21/50,-34/81) Hyperbolic Matrix(639,404,-1520,-961) (-19/30,-12/19) -> (-8/19,-21/50) Hyperbolic Matrix(121,76,320,201) (-12/19,-5/8) -> (3/8,8/21) Hyperbolic Matrix(2039,1265,-3480,-2159) (-18/29,-31/50) -> (-17/29,-41/70) Glide Reflection Matrix(121,75,1160,719) (-31/50,-44/71) -> (1/10,1/9) Glide Reflection Matrix(1199,741,2720,1681) (-34/55,-21/34) -> (11/25,15/34) Glide Reflection Matrix(201,124,-1360,-839) (-29/47,-8/13) -> (-4/27,-1/7) Hyperbolic Matrix(119,73,-520,-319) (-8/13,-11/18) -> (-3/13,-5/22) Glide Reflection Matrix(119,72,-200,-121) (-11/18,-3/5) -> (-3/5,-13/22) Parabolic Matrix(679,401,2440,1441) (-13/22,-36/61) -> (5/18,17/61) Glide Reflection Matrix(5001,2951,12200,7199) (-36/61,-59/100) -> (25/61,41/100) Glide Reflection Matrix(3721,2195,-13360,-7881) (-59/100,-23/39) -> (-39/140,-22/79) Glide Reflection Matrix(679,400,1560,919) (-23/39,-10/17) -> (10/23,17/39) Hyperbolic Matrix(121,71,680,399) (-10/17,-17/29) -> (3/17,2/11) Glide Reflection Matrix(41,24,480,281) (-41/70,-24/41) -> (0/1,1/10) Hyperbolic Matrix(3679,2153,-6560,-3839) (-24/41,-31/53) -> (-23/41,-60/107) Glide Reflection Matrix(601,351,-1440,-841) (-31/53,-7/12) -> (-28/67,-5/12) Glide Reflection Matrix(961,559,-3440,-2001) (-7/12,-25/43) -> (-19/68,-12/43) Glide Reflection Matrix(959,557,-1720,-999) (-25/43,-18/31) -> (-24/43,-5/9) Glide Reflection Matrix(559,324,-1520,-881) (-18/31,-11/19) -> (-7/19,-18/49) Hyperbolic Matrix(479,277,-1520,-879) (-11/19,-26/45) -> (-6/19,-11/35) Glide Reflection Matrix(599,345,-1040,-599) (-15/26,-23/40) -> (-15/26,-23/40) Reflection Matrix(239,137,560,321) (-23/40,-4/7) -> (17/40,3/7) Glide Reflection Matrix(1559,880,-5600,-3161) (-35/62,-22/39) -> (-22/79,-5/18) Hyperbolic Matrix(561,316,1280,721) (-22/39,-9/16) -> (7/16,18/41) Hyperbolic Matrix(479,269,1640,921) (-9/16,-23/41) -> (7/24,12/41) Glide Reflection Matrix(2119,1188,5920,3319) (-60/107,-37/66) -> (5/14,24/67) Hyperbolic Matrix(1039,581,2720,1521) (-14/25,-19/34) -> (21/55,13/34) Glide Reflection Matrix(2279,1273,-4080,-2279) (-19/34,-67/120) -> (-19/34,-67/120) Reflection Matrix(4559,2545,10320,5761) (-67/120,-24/43) -> (53/120,19/43) Glide Reflection Matrix(361,199,-800,-441) (-5/9,-11/20) -> (-14/31,-9/20) Glide Reflection Matrix(199,109,440,241) (-11/20,-6/11) -> (9/20,5/11) Glide Reflection Matrix(81,44,-440,-239) (-6/11,-7/13) -> (-5/27,-2/11) Hyperbolic Matrix(401,215,-2240,-1201) (-7/13,-15/28) -> (-12/67,-5/28) Glide Reflection Matrix(719,385,1720,921) (-15/28,-8/15) -> (5/12,23/55) Glide Reflection Matrix(279,148,1280,679) (-8/15,-9/17) -> (5/23,12/55) Hyperbolic Matrix(199,105,760,401) (-9/17,-1/2) -> (6/23,11/42) Glide Reflection Matrix(161,76,680,321) (-1/2,-8/17) -> (4/17,9/38) Hyperbolic Matrix(359,168,1280,599) (-8/17,-7/15) -> (7/25,16/57) Hyperbolic Matrix(481,224,1720,801) (-7/15,-13/28) -> (19/68,7/25) Hyperbolic Matrix(681,316,1640,761) (-13/28,-6/13) -> (22/53,5/12) Hyperbolic Matrix(161,72,360,161) (-9/20,-4/9) -> (4/9,9/20) Hyperbolic Matrix(721,319,-1720,-761) (-4/9,-15/34) -> (-13/31,-31/74) Glide Reflection Matrix(361,159,1360,599) (-15/34,-11/25) -> (9/34,4/15) Glide Reflection Matrix(719,316,2000,879) (-11/25,-18/41) -> (14/39,9/25) Hyperbolic Matrix(559,245,1280,561) (-18/41,-7/16) -> (17/39,7/16) Glide Reflection Matrix(81,35,-280,-121) (-7/16,-3/7) -> (-7/24,-2/7) Glide Reflection Matrix(679,289,1600,681) (-3/7,-17/40) -> (14/33,17/40) Glide Reflection Matrix(441,187,-1040,-441) (-17/40,-11/26) -> (-17/40,-11/26) Reflection Matrix(161,68,760,321) (-11/26,-8/19) -> (4/19,3/14) Hyperbolic Matrix(4959,2077,-11840,-4959) (-31/74,-67/160) -> (-31/74,-67/160) Reflection Matrix(7719,3232,17480,7319) (-67/160,-18/43) -> (34/77,53/120) Hyperbolic Matrix(761,316,1640,681) (-5/12,-22/53) -> (6/13,13/28) Hyperbolic Matrix(1521,631,4240,1759) (-22/53,-17/41) -> (19/53,14/39) Glide Reflection Matrix(599,248,1640,679) (-17/41,-12/29) -> (4/11,15/41) Hyperbolic Matrix(201,83,1160,479) (-19/46,-7/17) -> (1/6,4/23) Glide Reflection Matrix(79,32,-200,-81) (-7/17,-2/5) -> (-2/5,-9/23) Parabolic Matrix(481,188,1640,641) (-9/23,-16/41) -> (12/41,5/17) Hyperbolic Matrix(3281,1280,8000,3121) (-16/41,-39/100) -> (41/100,16/39) Hyperbolic Matrix(4001,1560,-14360,-5599) (-39/100,-23/59) -> (-17/61,-39/140) Hyperbolic Matrix(521,203,1640,639) (-23/59,-7/18) -> (6/19,7/22) Glide Reflection Matrix(559,217,-1440,-559) (-7/18,-31/80) -> (-7/18,-31/80) Reflection Matrix(1921,744,4960,1921) (-31/80,-12/31) -> (12/31,31/80) Hyperbolic Matrix(81,31,520,199) (-5/13,-13/34) -> (2/13,1/6) Glide Reflection Matrix(359,137,-1360,-519) (-13/34,-8/21) -> (-9/34,-5/19) Glide Reflection Matrix(119,45,320,121) (-8/21,-3/8) -> (7/19,3/8) Glide Reflection Matrix(119,44,-760,-281) (-10/27,-7/19) -> (-3/19,-2/13) Hyperbolic Matrix(79,29,-760,-279) (-18/49,-11/30) -> (-1/9,-1/10) Glide Reflection Matrix(41,15,-440,-161) (-11/30,-15/41) -> (-1/10,0/1) Glide Reflection Matrix(679,248,1640,599) (-15/41,-4/11) -> (12/29,17/41) Hyperbolic Matrix(879,316,2000,719) (-9/25,-14/39) -> (18/41,11/25) Hyperbolic Matrix(839,301,-4680,-1679) (-14/39,-19/53) -> (-7/39,-12/67) Glide Reflection Matrix(5159,1849,14400,5161) (-19/53,-43/120) -> (24/67,43/120) Glide Reflection Matrix(601,215,-1680,-601) (-43/120,-5/14) -> (-43/120,-5/14) Reflection Matrix(121,43,560,199) (-5/14,-6/17) -> (3/14,5/23) Glide Reflection Matrix(239,84,680,239) (-6/17,-7/20) -> (7/20,6/17) Hyperbolic Matrix(199,69,-920,-319) (-7/20,-1/3) -> (-13/60,-8/37) Glide Reflection Matrix(279,89,-1000,-319) (-1/3,-6/19) -> (-12/43,-17/61) Glide Reflection Matrix(119,37,-640,-199) (-5/16,-4/13) -> (-3/16,-5/27) Glide Reflection Matrix(119,36,-400,-121) (-4/13,-3/10) -> (-3/10,-8/27) Parabolic Matrix(281,83,1080,319) (-13/44,-5/17) -> (1/4,6/23) Glide Reflection Matrix(559,164,1360,399) (-5/17,-12/41) -> (16/39,7/17) Hyperbolic Matrix(879,257,-3280,-959) (-12/41,-7/24) -> (-11/41,-15/56) Glide Reflection Matrix(559,157,-2560,-719) (-9/32,-7/25) -> (-7/32,-12/55) Glide Reflection Matrix(801,224,1720,481) (-7/25,-19/68) -> (13/28,7/15) Hyperbolic Matrix(439,121,1600,441) (-8/29,-11/40) -> (3/11,11/40) Glide Reflection Matrix(681,187,-2480,-681) (-11/40,-17/62) -> (-11/40,-17/62) Reflection Matrix(1119,301,-4160,-1119) (-7/26,-43/160) -> (-7/26,-43/160) Reflection Matrix(5921,1591,16520,4439) (-43/160,-18/67) -> (43/120,19/53) Glide Reflection Matrix(2041,548,4920,1321) (-18/67,-11/41) -> (17/41,22/53) Hyperbolic Matrix(1961,520,4680,1241) (-13/49,-9/34) -> (31/74,13/31) Hyperbolic Matrix(1679,441,6400,1681) (-5/19,-21/80) -> (16/61,21/80) Glide Reflection Matrix(881,231,-3360,-881) (-21/80,-11/42) -> (-21/80,-11/42) Reflection Matrix(241,63,-1840,-481) (-11/42,-6/23) -> (-5/38,-3/23) Glide Reflection Matrix(841,200,3200,761) (-5/21,-19/80) -> (21/80,5/19) Hyperbolic Matrix(721,171,-3040,-721) (-19/80,-9/38) -> (-19/80,-9/38) Reflection Matrix(321,76,680,161) (-9/38,-4/17) -> (8/17,1/2) Hyperbolic Matrix(159,37,520,121) (-4/17,-3/13) -> (7/23,4/13) Glide Reflection Matrix(199,45,-880,-199) (-5/22,-9/40) -> (-5/22,-9/40) Reflection Matrix(1039,233,2680,601) (-9/40,-2/9) -> (31/80,19/49) Glide Reflection Matrix(839,185,2000,441) (-2/9,-9/41) -> (13/31,34/81) Glide Reflection Matrix(601,131,1280,279) (-12/55,-5/23) -> (7/15,8/17) Glide Reflection Matrix(321,68,760,161) (-3/14,-4/19) -> (8/19,11/26) Hyperbolic Matrix(39,8,-200,-41) (-4/19,-1/5) -> (-1/5,-4/21) Parabolic Matrix(881,167,3160,599) (-4/21,-7/37) -> (17/61,12/43) Glide Reflection Matrix(279,49,1600,281) (-3/17,-7/40) -> (4/23,7/40) Glide Reflection Matrix(41,7,-240,-41) (-7/40,-1/6) -> (-7/40,-1/6) Reflection Matrix(201,32,760,121) (-1/6,-3/19) -> (5/19,9/34) Hyperbolic Matrix(79,12,520,79) (-2/13,-3/20) -> (3/20,2/13) Hyperbolic Matrix(79,9,360,41) (-1/8,-1/9) -> (7/32,2/9) Glide Reflection Matrix(79,-11,280,-39) (1/8,1/7) -> (9/32,2/7) Glide Reflection Matrix(201,-37,440,-81) (2/11,3/16) -> (5/11,11/24) Glide Reflection Matrix(41,-8,200,-39) (3/16,1/5) -> (1/5,5/24) Parabolic Matrix(481,-109,1240,-281) (2/9,5/22) -> (19/49,7/18) Glide Reflection Matrix(839,-199,3200,-759) (9/38,5/21) -> (11/42,16/61) Glide Reflection Matrix(159,-43,440,-119) (4/15,3/11) -> (9/25,4/11) Glide Reflection Matrix(199,-55,720,-199) (11/40,5/18) -> (11/40,5/18) Reflection Matrix(121,-36,400,-119) (5/17,3/10) -> (3/10,7/23) Parabolic Matrix(1881,-689,4480,-1641) (15/41,11/30) -> (34/81,21/50) Glide Reflection Matrix(639,-235,1520,-559) (11/30,7/19) -> (21/50,8/19) Glide Reflection Matrix(81,-32,200,-79) (7/18,2/5) -> (2/5,9/22) Parabolic Matrix(3161,-1324,7160,-2999) (18/43,31/74) -> (15/34,34/77) Hyperbolic Matrix(-1,1,0,1) (1/2,1/0) -> (1/2,1/0) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,3,0,-1) -> Matrix(-1,1,0,1) (-3/2,1/0) -> (1/2,1/0) Matrix(79,116,-600,-881) -> Matrix(1,-2,2,-3) 1/1 Matrix(719,1053,-1720,-2519) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(161,235,520,759) -> Matrix(3,-1,2,-1) Matrix(199,289,-440,-639) -> Matrix(-1,5,0,1) *** -> (5/2,1/0) Matrix(361,520,-1360,-1959) -> Matrix(1,2,0,1) 1/0 Matrix(439,632,-1640,-2361) -> Matrix(1,4,0,1) 1/0 Matrix(81,116,280,401) -> Matrix(1,0,2,1) 0/1 Matrix(599,852,-760,-1081) -> Matrix(1,0,6,1) 0/1 Matrix(1239,1760,-2000,-2841) -> Matrix(1,0,2,1) 0/1 Matrix(761,1080,1720,2441) -> Matrix(3,-2,2,-1) 1/1 Matrix(961,1363,3440,4879) -> Matrix(1,1,2,1) Matrix(121,171,-680,-961) -> Matrix(1,1,2,1) Matrix(279,392,-200,-281) -> Matrix(1,0,2,1) 0/1 Matrix(1039,1445,-1840,-2559) -> Matrix(1,-1,2,-3) Matrix(119,165,520,721) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(119,164,-320,-441) -> Matrix(1,0,0,1) Matrix(199,273,-320,-439) -> Matrix(1,-1,-2,1) Matrix(559,761,-440,-599) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(121,164,-560,-759) -> Matrix(1,-2,0,1) 1/0 Matrix(121,159,-640,-841) -> Matrix(1,-1,2,-3) Matrix(239,313,520,681) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(399,521,-520,-679) -> Matrix(1,-3,2,-7) Matrix(521,675,-680,-881) -> Matrix(1,3,2,5) Matrix(121,156,280,361) -> Matrix(1,2,0,1) 1/0 Matrix(319,409,-280,-359) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(1439,1841,3440,4401) -> Matrix(1,1,2,1) Matrix(319,408,1000,1279) -> Matrix(1,2,0,1) 1/0 Matrix(919,1173,-720,-919) -> Matrix(1,1,0,-1) (-23/18,-51/40) -> (-1/2,1/0) Matrix(241,307,-880,-1121) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(919,1165,-1640,-2079) -> Matrix(1,1,4,3) Matrix(519,656,1360,1719) -> Matrix(1,2,0,1) 1/0 Matrix(39,49,160,201) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(201,248,-680,-839) -> Matrix(7,8,6,7) Matrix(201,247,520,639) -> Matrix(5,3,2,1) Matrix(361,439,-560,-681) -> Matrix(3,1,-2,-1) Matrix(439,532,-760,-921) -> Matrix(1,0,6,1) 0/1 Matrix(201,239,-640,-761) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(199,236,640,759) -> Matrix(7,-2,4,-1) Matrix(281,331,-680,-801) -> Matrix(1,-1,-2,1) Matrix(321,371,-520,-601) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(201,227,920,1039) -> Matrix(1,-1,-2,1) Matrix(79,88,-360,-401) -> Matrix(1,0,0,1) Matrix(319,285,-760,-679) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(439,388,-680,-601) -> Matrix(1,-2,0,1) 1/0 Matrix(79,68,-280,-241) -> Matrix(3,-2,2,-1) 1/1 Matrix(41,35,280,239) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(119,101,-800,-679) -> Matrix(1,3,2,5) Matrix(199,168,520,439) -> Matrix(1,2,0,1) 1/0 Matrix(199,165,-240,-199) -> Matrix(1,1,0,-1) (-5/6,-33/40) -> (-1/2,1/0) Matrix(239,197,1360,1121) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(281,231,680,559) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(201,164,-440,-359) -> Matrix(5,2,2,1) Matrix(159,128,-200,-161) -> Matrix(1,0,8,1) 0/1 Matrix(239,189,760,601) -> Matrix(7,-1,6,-1) Matrix(559,440,1320,1039) -> Matrix(1,0,-4,1) 0/1 Matrix(199,156,560,439) -> Matrix(1,0,-4,1) 0/1 Matrix(119,93,-920,-719) -> Matrix(11,-3,18,-5) Matrix(41,32,360,281) -> Matrix(13,-4,10,-3) Matrix(201,155,-520,-401) -> Matrix(3,-1,8,-3) *** -> (1/4,1/2) Matrix(41,31,-160,-121) -> Matrix(3,-1,2,-1) Matrix(39,29,-160,-119) -> Matrix(1,-1,-2,1) Matrix(841,619,-1360,-1001) -> Matrix(1,-1,-2,1) Matrix(159,116,-440,-321) -> Matrix(1,0,2,1) 0/1 Matrix(199,144,-720,-521) -> Matrix(3,-2,2,-1) 1/1 Matrix(681,491,-1000,-721) -> Matrix(3,-1,2,-1) Matrix(1439,1037,-3440,-2479) -> Matrix(3,-1,2,-1) Matrix(39,28,-280,-201) -> Matrix(1,0,0,1) Matrix(159,113,-280,-199) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(279,196,-400,-281) -> Matrix(7,-6,6,-5) 1/1 Matrix(121,84,520,361) -> Matrix(1,-2,2,-3) 1/1 Matrix(239,165,-520,-359) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(159,109,760,521) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(721,492,1760,1201) -> Matrix(1,-2,0,1) 1/0 Matrix(41,27,120,79) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(321,208,-1480,-959) -> Matrix(1,4,0,1) 1/0 Matrix(921,595,3280,2119) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(119,76,-440,-281) -> Matrix(1,2,0,1) 1/0 Matrix(159,101,-880,-559) -> Matrix(1,1,2,1) Matrix(1881,1192,-4480,-2839) -> Matrix(1,0,2,1) 0/1 Matrix(639,404,-1520,-961) -> Matrix(1,0,0,1) Matrix(121,76,320,201) -> Matrix(1,2,0,1) 1/0 Matrix(2039,1265,-3480,-2159) -> Matrix(5,1,16,3) Matrix(121,75,1160,719) -> Matrix(9,-1,8,-1) Matrix(1199,741,2720,1681) -> Matrix(3,-1,2,-1) Matrix(201,124,-1360,-839) -> Matrix(1,-2,2,-3) 1/1 Matrix(119,73,-520,-319) -> Matrix(1,1,2,1) Matrix(119,72,-200,-121) -> Matrix(1,0,6,1) 0/1 Matrix(679,401,2440,1441) -> Matrix(3,-1,2,-1) Matrix(5001,2951,12200,7199) -> Matrix(3,-1,-4,1) Matrix(3721,2195,-13360,-7881) -> Matrix(5,-1,4,-1) Matrix(679,400,1560,919) -> Matrix(1,0,-4,1) 0/1 Matrix(121,71,680,399) -> Matrix(5,-1,4,-1) Matrix(41,24,480,281) -> Matrix(5,-2,8,-3) 1/2 Matrix(3679,2153,-6560,-3839) -> Matrix(3,-1,14,-5) Matrix(601,351,-1440,-841) -> Matrix(3,-1,2,-1) Matrix(961,559,-3440,-2001) -> Matrix(3,-1,2,-1) Matrix(959,557,-1720,-999) -> Matrix(1,-1,2,-3) Matrix(559,324,-1520,-881) -> Matrix(1,0,-4,1) 0/1 Matrix(479,277,-1520,-879) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(599,345,-1040,-599) -> Matrix(3,-1,8,-3) (-15/26,-23/40) -> (1/4,1/2) Matrix(239,137,560,321) -> Matrix(3,-1,2,-1) Matrix(1559,880,-5600,-3161) -> Matrix(7,-2,4,-1) Matrix(561,316,1280,721) -> Matrix(1,0,-2,1) 0/1 Matrix(479,269,1640,921) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(2119,1188,5920,3319) -> Matrix(1,0,-2,1) 0/1 Matrix(1039,581,2720,1521) -> Matrix(7,-3,2,-1) Matrix(2279,1273,-4080,-2279) -> Matrix(3,-1,8,-3) (-19/34,-67/120) -> (1/4,1/2) Matrix(4559,2545,10320,5761) -> Matrix(5,-1,4,-1) Matrix(361,199,-800,-441) -> Matrix(19,-9,2,-1) Matrix(199,109,440,241) -> Matrix(9,-5,-2,1) Matrix(81,44,-440,-239) -> Matrix(3,-2,8,-5) 1/2 Matrix(401,215,-2240,-1201) -> Matrix(1,-1,-2,1) Matrix(719,385,1720,921) -> Matrix(1,-1,-4,3) Matrix(279,148,1280,679) -> Matrix(1,0,-2,1) 0/1 Matrix(199,105,760,401) -> Matrix(1,-1,-2,1) Matrix(161,76,680,321) -> Matrix(1,0,0,1) Matrix(359,168,1280,599) -> Matrix(1,0,0,1) Matrix(481,224,1720,801) -> Matrix(3,-4,4,-5) 1/1 Matrix(681,316,1640,761) -> Matrix(1,-2,2,-3) 1/1 Matrix(161,72,360,161) -> Matrix(1,4,0,1) 1/0 Matrix(721,319,-1720,-761) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(361,159,1360,599) -> Matrix(1,1,-2,-3) Matrix(719,316,2000,879) -> Matrix(3,2,4,3) Matrix(559,245,1280,561) -> Matrix(1,1,2,1) Matrix(81,35,-280,-121) -> Matrix(3,-1,2,-1) Matrix(679,289,1600,681) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(441,187,-1040,-441) -> Matrix(-1,1,0,1) (-17/40,-11/26) -> (1/2,1/0) Matrix(161,68,760,321) -> Matrix(1,0,0,1) Matrix(4959,2077,-11840,-4959) -> Matrix(-1,1,0,1) (-31/74,-67/160) -> (1/2,1/0) Matrix(7719,3232,17480,7319) -> Matrix(3,-2,2,-1) 1/1 Matrix(761,316,1640,681) -> Matrix(1,0,0,1) Matrix(1521,631,4240,1759) -> Matrix(1,1,2,1) Matrix(599,248,1640,679) -> Matrix(1,2,0,1) 1/0 Matrix(201,83,1160,479) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(79,32,-200,-81) -> Matrix(1,0,4,1) 0/1 Matrix(481,188,1640,641) -> Matrix(5,-2,8,-3) 1/2 Matrix(3281,1280,8000,3121) -> Matrix(5,-2,-2,1) Matrix(4001,1560,-14360,-5599) -> Matrix(3,-2,2,-1) 1/1 Matrix(521,203,1640,639) -> Matrix(5,-1,4,-1) Matrix(559,217,-1440,-559) -> Matrix(3,-1,8,-3) (-7/18,-31/80) -> (1/4,1/2) Matrix(1921,744,4960,1921) -> Matrix(3,-2,2,-1) 1/1 Matrix(81,31,520,199) -> Matrix(3,-1,2,-1) Matrix(359,137,-1360,-519) -> Matrix(3,-1,2,-1) Matrix(119,45,320,121) -> Matrix(3,-1,2,-1) Matrix(119,44,-760,-281) -> Matrix(1,0,2,1) 0/1 Matrix(79,29,-760,-279) -> Matrix(9,1,10,1) Matrix(41,15,-440,-161) -> Matrix(9,-1,8,-1) Matrix(679,248,1640,599) -> Matrix(1,0,-6,1) 0/1 Matrix(879,316,2000,719) -> Matrix(5,-2,8,-3) 1/2 Matrix(839,301,-4680,-1679) -> Matrix(3,-1,8,-3) *** -> (1/4,1/2) Matrix(5159,1849,14400,5161) -> Matrix(3,-1,8,-3) *** -> (1/4,1/2) Matrix(601,215,-1680,-601) -> Matrix(7,-3,16,-7) (-43/120,-5/14) -> (3/8,1/2) Matrix(121,43,560,199) -> Matrix(3,-1,2,-1) Matrix(239,84,680,239) -> Matrix(9,-4,-2,1) Matrix(199,69,-920,-319) -> Matrix(5,-3,-2,1) Matrix(279,89,-1000,-319) -> Matrix(7,-5,4,-3) Matrix(119,37,-640,-199) -> Matrix(1,-1,-2,1) Matrix(119,36,-400,-121) -> Matrix(15,-14,14,-13) 1/1 Matrix(281,83,1080,319) -> Matrix(1,-1,6,-7) Matrix(559,164,1360,399) -> Matrix(5,-6,-4,5) Matrix(879,257,-3280,-959) -> Matrix(9,-11,4,-5) Matrix(559,157,-2560,-719) -> Matrix(1,-1,2,-3) Matrix(801,224,1720,481) -> Matrix(1,-2,0,1) 1/0 Matrix(439,121,1600,441) -> Matrix(1,-1,2,-3) Matrix(681,187,-2480,-681) -> Matrix(-1,3,0,1) (-11/40,-17/62) -> (3/2,1/0) Matrix(1119,301,-4160,-1119) -> Matrix(-1,3,0,1) (-7/26,-43/160) -> (3/2,1/0) Matrix(5921,1591,16520,4439) -> Matrix(1,-1,2,-3) Matrix(2041,548,4920,1321) -> Matrix(1,-2,2,-3) 1/1 Matrix(1961,520,4680,1241) -> Matrix(1,0,0,1) Matrix(1679,441,6400,1681) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(881,231,-3360,-881) -> Matrix(-1,3,0,1) (-21/80,-11/42) -> (3/2,1/0) Matrix(241,63,-1840,-481) -> Matrix(1,1,2,1) Matrix(841,200,3200,761) -> Matrix(1,0,-2,1) 0/1 Matrix(721,171,-3040,-721) -> Matrix(-1,1,0,1) (-19/80,-9/38) -> (1/2,1/0) Matrix(321,76,680,161) -> Matrix(1,0,0,1) Matrix(159,37,520,121) -> Matrix(5,-1,4,-1) Matrix(199,45,-880,-199) -> Matrix(-1,1,0,1) (-5/22,-9/40) -> (1/2,1/0) Matrix(1039,233,2680,601) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(839,185,2000,441) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(601,131,1280,279) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(321,68,760,161) -> Matrix(1,0,0,1) Matrix(39,8,-200,-41) -> Matrix(1,0,2,1) 0/1 Matrix(881,167,3160,599) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(279,49,1600,281) -> Matrix(3,-1,2,-1) Matrix(41,7,-240,-41) -> Matrix(-1,1,0,1) (-7/40,-1/6) -> (1/2,1/0) Matrix(201,32,760,121) -> Matrix(1,0,-2,1) 0/1 Matrix(79,12,520,79) -> Matrix(1,0,-2,1) 0/1 Matrix(79,9,360,41) -> Matrix(1,-1,-4,3) Matrix(79,-11,280,-39) -> Matrix(1,-1,2,-3) Matrix(201,-37,440,-81) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(41,-8,200,-39) -> Matrix(1,-2,0,1) 1/0 Matrix(481,-109,1240,-281) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(839,-199,3200,-759) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(159,-43,440,-119) -> Matrix(3,-1,2,-1) Matrix(199,-55,720,-199) -> Matrix(-1,1,0,1) (11/40,5/18) -> (1/2,1/0) Matrix(121,-36,400,-119) -> Matrix(9,-8,8,-7) 1/1 Matrix(1881,-689,4480,-1641) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(639,-235,1520,-559) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(81,-32,200,-79) -> Matrix(1,-4,0,1) 1/0 Matrix(3161,-1324,7160,-2999) -> Matrix(3,-2,2,-1) 1/1 Matrix(-1,1,0,1) -> Matrix(-1,1,0,1) (1/2,1/0) -> (1/2,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.