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): 1800 Minimal number of generators: 301 Number of equivalence classes of cusps: 84 Genus: 109 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -4/9 -3/8 -2/7 -1/6 0/1 1/9 2/13 1/4 4/11 7/18 3/7 11/24 1/2 9/16 2/3 51/74 11/14 9/11 7/8 1/1 8/7 11/9 14/11 29/21 44/31 3/2 76/49 46/29 31/19 16/9 13/7 2/1 17/8 7/3 53/22 5/2 18/7 13/5 163/62 127/48 73/27 183/67 11/4 147/53 37/13 3/1 19/6 16/5 10/3 58/17 7/2 39/11 11/3 19/5 4/1 17/4 13/3 102/23 9/2 41/9 14/3 19/4 62/13 5/1 21/4 16/3 11/2 17/3 6/1 43/7 56/9 19/3 13/2 20/3 7/1 22/3 15/2 8/1 17/2 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/46 -8/17 4/173 1/43 -7/15 1/43 5/214 -6/13 2/85 3/127 -11/24 1/42 -5/11 1/42 3/125 -14/31 3/125 2/83 -9/20 3/124 -13/29 1/41 1/40 -4/9 1/41 -15/34 1/40 -11/25 1/41 3/122 -18/41 1/41 2/81 -7/16 1/40 -24/55 4/161 1/40 -17/39 1/40 1/39 -10/23 2/81 1/40 -13/30 5/202 -3/7 1/40 1/39 -14/33 1/40 2/79 -11/26 1/39 -19/45 1/40 1/39 -8/19 0/1 1/39 -29/69 2/79 -21/50 1/40 -34/81 1/40 2/79 -47/112 1/39 -13/31 3/118 1/39 -5/12 1/38 -12/29 1/39 2/77 -7/17 0/1 -9/22 1/38 -2/5 0/1 1/38 -11/28 1/36 -9/23 1/39 1/38 -7/18 1/38 -12/31 1/38 2/75 -29/75 1/38 1/37 -17/44 1/38 -5/13 1/38 1/37 -13/34 1/40 -8/21 1/38 2/75 -19/50 1/38 -11/29 1/38 1/37 -25/66 3/112 -14/37 2/75 1/37 -3/8 1/37 -16/43 0/1 1/37 -29/78 11/406 -13/35 1/37 3/110 -23/62 5/182 -10/27 1/37 2/73 -17/46 1/36 -7/19 1/36 1/35 -11/30 1/38 -4/11 1/37 2/73 -13/36 1/36 -9/25 5/181 1/36 -5/14 1/36 -6/17 0/1 1/35 -13/37 1/36 1/35 -7/20 1/36 -1/3 1/35 1/34 -6/19 1/34 2/67 -5/16 1/34 -4/13 4/133 1/33 -7/23 1/33 7/230 -17/56 3/98 -10/33 1/33 2/65 -3/10 1/32 -8/27 3/98 2/65 -13/44 5/162 -5/17 1/33 1/32 -12/41 4/129 1/32 -19/65 1/32 3/95 -7/24 1/34 -9/31 3/97 1/32 -2/7 1/32 -11/39 1/32 1/31 -20/71 2/63 1/31 -9/32 1/32 -7/25 1/32 1/31 -12/43 4/129 1/32 -17/61 1/32 9/287 -5/18 1/32 -8/29 5/158 2/63 -11/40 7/220 -3/11 3/94 1/31 -10/37 0/1 1/31 -7/26 1/32 -4/15 4/125 1/31 -5/19 1/31 5/154 -11/42 3/92 -6/23 2/61 3/91 -1/4 1/30 -4/17 2/61 1/30 -3/13 2/59 -5/22 5/146 -2/9 2/59 1/29 -5/23 1/29 5/144 -18/83 3/86 -13/60 1/28 -8/37 4/115 3/86 -11/51 2/57 -3/14 1/28 -10/47 0/1 1/28 -17/80 1/30 -7/33 1/30 1/29 -4/19 1/29 -5/24 1/28 -6/29 1/29 2/57 -7/34 1/28 -1/5 1/29 1/28 -5/26 1/28 -4/21 3/83 2/55 -3/16 1/28 -5/27 1/28 1/27 -7/38 1/28 -2/11 0/1 1/27 -9/50 1/30 -7/39 1/29 1/28 -5/28 1/28 -3/17 1/28 1/27 -7/40 5/138 -4/23 1/28 2/55 -1/6 1/27 -3/19 3/79 1/26 -5/32 1/26 -2/13 0/1 1/25 -7/46 1/32 -5/33 1/29 1/28 -3/20 3/82 -1/7 1/27 1/26 -3/22 1/26 -2/15 1/26 2/51 -1/8 1/24 -1/9 1/26 1/25 -1/10 1/24 0/1 0/1 1/23 1/10 1/22 1/9 0/1 1/8 1/22 1/7 1/21 1/20 3/20 1/20 2/13 1/20 1/6 1/22 4/23 0/1 1/21 3/17 2/41 2/11 2/41 1/20 1/5 1/20 1/19 3/14 3/56 2/9 0/1 1/21 3/13 1/20 3/59 1/4 1/19 4/15 2/37 1/18 3/11 1/19 1/18 5/18 1/18 2/7 0/1 1/19 9/31 2/37 16/55 4/73 1/18 7/24 1/18 5/17 1/19 1/18 18/61 3/56 2/37 31/105 5/93 7/130 13/44 5/92 8/27 1/18 11/37 1/19 3/56 3/10 1/18 7/23 0/1 18/59 2/39 1/19 11/36 1/18 4/13 2/37 3/55 1/3 1/18 1/17 5/14 1/18 9/25 1/18 3/53 13/36 13/226 4/11 1/17 15/41 1/17 1/16 11/30 1/18 7/19 1/17 1/16 3/8 1/18 14/37 3/53 2/35 11/29 2/35 19/50 3/52 8/21 3/52 4/69 21/55 9/154 1/17 13/34 1/18 18/47 3/52 5/13 5/86 1/17 7/18 1/17 9/23 1/17 9/152 2/5 1/17 2/33 9/22 1/18 16/39 1/17 7/17 1/18 1/17 19/46 1/17 31/75 1/18 3/53 12/29 2/35 1/17 5/12 5/84 13/31 1/17 1/16 34/81 1/17 21/50 1/18 29/69 7/120 1/17 37/88 1/17 8/19 1/17 4/67 19/45 1/17 5/84 30/71 1/17 4/67 11/26 3/50 3/7 2/33 10/23 3/49 4/65 17/39 3/49 1/16 41/94 5/81 24/55 6/97 1/16 7/16 1/16 11/25 3/49 1/16 37/84 9/146 26/59 5/81 15/34 15/242 19/43 17/273 1/16 23/52 1/16 4/9 1/16 2/31 9/20 1/18 14/31 1/17 5/11 1/17 3/50 16/35 2/33 3/49 27/59 3/49 1/16 38/83 2/33 5/82 11/24 3/49 6/13 2/33 1/16 1/2 1/16 7/13 0/1 6/11 3/47 2/31 5/9 5/76 1/15 9/16 1/15 13/23 1/15 13/194 4/7 1/15 4/59 15/26 3/44 11/19 2/29 18/31 1/15 2/29 61/105 5/73 7/102 43/74 13/188 25/43 3/43 1/14 7/12 1/14 17/29 1/15 1/14 10/17 0/1 1/15 33/56 1/14 23/39 1/15 1/14 13/22 1/15 16/27 0/1 1/17 3/5 1/15 3/44 8/13 2/29 5/72 21/34 3/43 13/21 1/15 1/14 31/50 1/14 49/79 3/43 1/14 18/29 2/29 1/14 5/8 1/14 12/19 1/14 4/55 19/30 3/38 45/71 1/10 1/9 26/41 0/1 1/19 7/11 1/15 1/14 16/25 2/29 3/43 9/14 1/14 2/3 1/14 11/16 1/14 31/45 1/14 3/41 51/74 3/41 20/29 3/41 2/27 9/13 1/14 3/41 16/23 2/27 5/67 7/10 1/12 12/17 1/14 4/55 29/41 2/27 17/24 1/14 39/55 3/41 5/68 22/31 2/27 3/40 5/7 1/14 1/13 8/11 2/27 3/40 19/26 1/13 30/41 4/53 5/66 41/56 7/92 11/15 1/13 1/12 25/34 1/14 39/53 3/40 1/13 14/19 0/1 1/13 3/4 1/14 13/17 4/53 23/30 5/66 33/43 13/170 1/13 43/56 9/116 10/13 2/27 1/13 7/9 7/92 1/13 11/14 1/13 15/19 1/13 15/194 4/5 1/13 4/51 25/31 5/64 9/115 21/26 11/140 17/21 3/38 5/63 13/16 3/38 35/43 3/38 5/63 22/27 5/63 2/25 9/11 2/25 32/39 5/62 8/99 55/67 11/136 3/37 23/28 13/160 14/17 0/1 1/12 5/6 1/12 11/13 1/13 3/38 6/7 2/25 1/12 13/15 1/12 1/11 33/38 1/12 53/61 1/10 1/9 20/23 0/1 1/15 7/8 1/13 8/9 2/25 7/87 9/10 1/12 1/1 1/12 1/11 10/9 3/32 2/21 9/8 7/74 8/7 1/10 15/13 1/11 1/10 7/6 1/10 6/5 0/1 1/11 17/14 3/32 11/9 2/21 16/13 4/41 1/10 21/17 1/11 1/10 26/21 3/32 2/21 5/4 1/10 14/11 1/10 23/18 1/10 9/7 1/10 5/49 22/17 2/19 1/9 35/27 1/10 7/69 83/64 7/68 48/37 1/10 13/10 1/10 17/13 2/19 21/16 1/10 4/3 2/19 1/9 19/14 5/46 15/11 1/9 1/8 11/8 1/8 29/21 0/1 47/34 1/16 18/13 0/1 1/12 7/5 1/11 1/10 31/22 5/48 24/17 2/19 1/9 17/12 1/10 44/31 1/10 71/50 1/10 27/19 1/10 5/49 10/7 2/19 1/9 13/9 3/28 1/9 3/2 1/9 17/11 1/10 1/9 31/20 9/82 76/49 1/9 121/78 35/314 45/29 1/9 13/116 59/38 5/44 14/9 1/9 2/17 11/7 1/9 1/8 52/33 3/26 41/26 11/94 30/19 2/17 3/25 49/31 2/17 19/12 1/8 46/29 1/8 73/46 1/8 27/17 1/8 1/7 8/5 2/17 1/8 29/18 1/8 21/13 3/22 1/7 13/8 1/6 31/19 0/1 49/30 1/18 18/11 0/1 1/12 5/3 1/9 1/8 27/16 3/26 49/29 3/25 1/8 22/13 1/8 61/36 3/26 39/23 5/41 1/8 56/33 0/1 1/7 17/10 1/8 12/7 2/17 1/8 43/25 1/8 3/23 74/43 11/83 2/15 31/18 5/36 81/47 1/7 3/20 131/76 7/46 50/29 2/13 1/6 19/11 0/1 64/37 0/1 1/11 45/26 1/10 26/15 2/19 1/9 7/4 1/8 16/9 1/8 25/14 1/8 9/5 1/8 1/7 20/11 0/1 1/8 31/17 1/7 3/20 42/23 1/6 53/29 1/5 1/4 11/6 1/10 24/13 0/1 1/8 13/7 0/1 15/8 1/8 2/1 0/1 1/8 17/8 1/8 32/15 1/8 2/15 15/7 1/8 1/7 13/6 1/8 24/11 1/7 35/16 3/16 46/21 -1/1 0/1 57/26 1/18 11/5 1/9 1/8 31/14 1/7 20/9 0/1 1/6 9/4 1/8 16/7 2/15 1/7 55/24 3/20 39/17 1/7 1/6 23/10 3/22 7/3 0/1 26/11 4/33 1/8 71/30 11/86 116/49 3/23 45/19 1/8 1/7 19/8 1/8 12/5 2/15 1/7 53/22 1/7 94/39 1/7 4/27 41/17 1/7 1/6 29/12 1/8 104/43 5/38 2/15 179/74 11/82 75/31 3/22 1/7 121/50 1/8 46/19 1/7 17/7 3/22 1/7 56/23 3/20 2/13 39/16 1/7 22/9 0/1 1/6 5/2 1/8 18/7 1/7 31/12 7/48 13/5 1/7 3/20 60/23 2/13 7/45 47/18 1/7 81/31 1/7 3/20 34/13 2/13 1/6 89/34 1/6 144/55 0/1 1/7 199/76 1/7 55/21 1/7 1/6 76/29 1/7 21/8 1/6 92/35 4/29 1/7 163/62 1/7 71/27 1/7 7/48 50/19 4/27 3/20 79/30 3/20 29/11 2/13 66/25 8/51 3/19 37/14 9/56 82/31 14/85 1/6 127/48 1/6 45/17 1/6 5/29 8/3 0/1 1/7 27/10 1/6 73/27 0/1 119/44 1/10 46/17 0/1 1/8 19/7 1/7 1/6 49/18 5/36 79/29 1/7 11/76 30/11 1/7 2/13 71/26 7/46 183/67 2/13 295/108 25/162 112/41 2/13 9/58 41/15 3/19 1/6 11/4 1/7 36/13 1/7 2/13 61/22 15/98 147/53 2/13 233/84 61/396 86/31 2/13 23/149 25/9 5/32 3/19 39/14 1/6 53/19 1/6 3/17 14/5 2/13 1/6 17/6 1/6 37/13 0/1 57/20 1/8 20/7 0/1 1/7 3/1 1/7 1/6 19/6 1/6 35/11 1/6 13/77 16/5 1/6 6/35 13/4 5/28 36/11 1/6 2/11 23/7 2/11 33/10 1/4 10/3 1/6 2/11 37/11 1/7 1/6 27/8 1/5 17/5 1/7 1/6 58/17 1/6 99/29 1/6 15/89 41/12 1/6 24/7 1/6 4/23 79/23 13/74 3/17 55/16 5/28 31/9 2/11 38/11 3/17 2/11 7/2 1/6 39/11 2/11 71/20 11/60 32/9 2/11 5/27 25/7 3/16 1/5 18/5 2/11 1/5 29/8 1/6 98/27 1/6 69/19 1/6 3/17 109/30 1/6 40/11 2/11 1/5 51/14 1/5 11/3 3/16 1/5 26/7 0/1 1/3 93/25 1/8 1/7 67/18 1/7 41/11 3/19 1/6 97/26 1/6 56/15 1/6 4/23 15/4 1/6 19/5 1/6 1/5 4/1 1/5 21/5 1/5 3/14 38/9 3/14 2/9 17/4 3/14 13/3 1/6 1/5 22/5 1/5 4/19 31/7 1/5 3/14 102/23 3/14 71/16 3/14 40/9 5/23 2/9 9/2 3/14 41/9 2/9 73/16 25/112 32/7 2/9 11/49 23/5 5/22 3/13 14/3 2/9 3/13 19/4 1/4 62/13 1/4 105/22 1/4 43/9 1/4 7/27 67/14 1/4 24/5 0/1 1/4 77/16 1/0 130/27 0/1 1/11 53/11 1/6 1/5 29/6 1/5 5/1 3/13 1/4 21/4 1/4 37/7 1/4 23/91 16/3 1/4 10/39 11/2 1/4 28/5 5/19 4/15 17/3 2/7 40/7 1/4 2/7 63/11 1/4 1/3 23/4 1/4 6/1 3/11 2/7 43/7 2/7 80/13 2/7 41/143 37/6 19/66 31/5 9/31 7/24 56/9 5/17 25/4 3/10 44/7 2/7 5/17 19/3 5/17 3/10 13/2 1/3 46/7 1/4 2/7 33/5 3/10 1/3 20/3 2/7 1/3 7/1 5/16 1/3 22/3 1/3 37/5 1/3 27/80 15/2 11/32 8/1 1/3 4/11 17/2 3/8 9/1 2/5 10/1 3/7 4/9 11/1 9/19 1/2 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(761,362,288,137) (-1/2,-8/17) -> (66/25,37/14) Hyperbolic Matrix(1793,842,658,309) (-8/17,-7/15) -> (79/29,30/11) Hyperbolic Matrix(279,130,470,219) (-7/15,-6/13) -> (16/27,3/5) Hyperbolic Matrix(369,170,280,129) (-6/13,-11/24) -> (21/16,4/3) Hyperbolic Matrix(463,212,-1662,-761) (-11/24,-5/11) -> (-17/61,-5/18) Hyperbolic Matrix(637,288,1462,661) (-5/11,-14/31) -> (10/23,17/39) Hyperbolic Matrix(913,412,-2462,-1111) (-14/31,-9/20) -> (-23/62,-10/27) Hyperbolic Matrix(633,284,-2084,-935) (-9/20,-13/29) -> (-7/23,-17/56) Hyperbolic Matrix(451,202,998,447) (-13/29,-4/9) -> (14/31,5/11) Hyperbolic Matrix(625,276,1524,673) (-4/9,-15/34) -> (9/22,16/39) Hyperbolic Matrix(445,196,-1696,-747) (-15/34,-11/25) -> (-5/19,-11/42) Hyperbolic Matrix(979,430,2320,1019) (-11/25,-18/41) -> (8/19,19/45) Hyperbolic Matrix(1249,548,-3298,-1447) (-18/41,-7/16) -> (-25/66,-14/37) Hyperbolic Matrix(5145,2246,1954,853) (-7/16,-24/55) -> (50/19,79/30) Hyperbolic Matrix(3461,1510,1240,541) (-24/55,-17/39) -> (53/19,14/5) Hyperbolic Matrix(533,232,618,269) (-17/39,-10/23) -> (6/7,13/15) Hyperbolic Matrix(973,422,528,229) (-10/23,-13/30) -> (11/6,24/13) Hyperbolic Matrix(619,268,-2118,-917) (-13/30,-3/7) -> (-19/65,-7/24) Hyperbolic Matrix(1041,442,-2692,-1143) (-3/7,-14/33) -> (-12/31,-29/75) Hyperbolic Matrix(519,220,1130,479) (-14/33,-11/26) -> (11/24,6/13) Hyperbolic Matrix(1037,438,2512,1061) (-11/26,-19/45) -> (7/17,19/46) Hyperbolic Matrix(517,218,-1468,-619) (-19/45,-8/19) -> (-6/17,-13/37) Hyperbolic Matrix(861,362,88,37) (-8/19,-29/69) -> (9/1,10/1) Hyperbolic Matrix(5345,2246,1554,653) (-29/69,-21/50) -> (55/16,31/9) Hyperbolic Matrix(3277,1376,774,325) (-21/50,-34/81) -> (38/9,17/4) Hyperbolic Matrix(6205,2604,946,397) (-34/81,-47/112) -> (13/2,46/7) Hyperbolic Matrix(12493,5242,3358,1409) (-47/112,-13/31) -> (93/25,67/18) Hyperbolic Matrix(1117,468,432,181) (-13/31,-5/12) -> (31/12,13/5) Hyperbolic Matrix(255,106,344,143) (-5/12,-12/29) -> (14/19,3/4) Hyperbolic Matrix(257,106,594,245) (-12/29,-7/17) -> (3/7,10/23) Hyperbolic Matrix(253,104,596,245) (-7/17,-9/22) -> (11/26,3/7) Hyperbolic Matrix(421,172,678,277) (-9/22,-2/5) -> (18/29,5/8) Hyperbolic Matrix(1073,422,328,129) (-2/5,-11/28) -> (13/4,36/11) Hyperbolic Matrix(245,96,-1396,-547) (-11/28,-9/23) -> (-3/17,-7/40) Hyperbolic Matrix(737,288,412,161) (-9/23,-7/18) -> (25/14,9/5) Hyperbolic Matrix(407,158,492,191) (-7/18,-12/31) -> (14/17,5/6) Hyperbolic Matrix(569,220,-2770,-1071) (-29/75,-17/44) -> (-7/34,-1/5) Hyperbolic Matrix(83,32,568,219) (-17/44,-5/13) -> (1/7,3/20) Hyperbolic Matrix(245,94,-894,-343) (-5/13,-13/34) -> (-11/40,-3/11) Hyperbolic Matrix(325,124,726,277) (-13/34,-8/21) -> (4/9,9/20) Hyperbolic Matrix(163,62,-1212,-461) (-8/21,-19/50) -> (-3/22,-2/15) Hyperbolic Matrix(1453,552,2498,949) (-19/50,-11/29) -> (25/43,7/12) Hyperbolic Matrix(723,274,-4024,-1525) (-11/29,-25/66) -> (-9/50,-7/39) Hyperbolic Matrix(239,90,-640,-241) (-14/37,-3/8) -> (-3/8,-16/43) Parabolic Matrix(2629,978,3422,1273) (-16/43,-29/78) -> (43/56,10/13) Hyperbolic Matrix(5095,1894,6206,2307) (-29/78,-13/35) -> (55/67,23/28) Hyperbolic Matrix(555,206,-3656,-1357) (-13/35,-23/62) -> (-7/46,-5/33) Hyperbolic Matrix(319,118,-1668,-617) (-10/27,-17/46) -> (-5/26,-4/21) Hyperbolic Matrix(1029,380,1270,469) (-17/46,-7/19) -> (17/21,13/16) Hyperbolic Matrix(397,146,-1346,-495) (-7/19,-11/30) -> (-13/44,-5/17) Hyperbolic Matrix(159,58,392,143) (-11/30,-4/11) -> (2/5,9/22) Hyperbolic Matrix(469,170,80,29) (-4/11,-13/36) -> (23/4,6/1) Hyperbolic Matrix(233,84,-1484,-535) (-13/36,-9/25) -> (-3/19,-5/32) Hyperbolic Matrix(701,252,548,197) (-9/25,-5/14) -> (23/18,9/7) Hyperbolic Matrix(311,110,540,191) (-5/14,-6/17) -> (4/7,15/26) Hyperbolic Matrix(769,270,-3620,-1271) (-13/37,-7/20) -> (-17/80,-7/33) Hyperbolic Matrix(229,80,770,269) (-7/20,-1/3) -> (11/37,3/10) Hyperbolic Matrix(733,232,218,69) (-1/3,-6/19) -> (10/3,37/11) Hyperbolic Matrix(217,68,-1018,-319) (-6/19,-5/16) -> (-3/14,-10/47) Hyperbolic Matrix(507,158,292,91) (-5/16,-4/13) -> (26/15,7/4) Hyperbolic Matrix(287,88,362,111) (-4/13,-7/23) -> (15/19,4/5) Hyperbolic Matrix(1649,500,2800,849) (-17/56,-10/33) -> (10/17,33/56) Hyperbolic Matrix(73,22,428,129) (-10/33,-3/10) -> (1/6,4/23) Hyperbolic Matrix(355,106,144,43) (-3/10,-8/27) -> (22/9,5/2) Hyperbolic Matrix(2061,610,1490,441) (-8/27,-13/44) -> (47/34,18/13) Hyperbolic Matrix(1133,332,918,269) (-5/17,-12/41) -> (16/13,21/17) Hyperbolic Matrix(2475,724,776,227) (-12/41,-19/65) -> (35/11,16/5) Hyperbolic Matrix(213,62,-1412,-411) (-7/24,-9/31) -> (-5/33,-3/20) Hyperbolic Matrix(139,40,-490,-141) (-9/31,-2/7) -> (-2/7,-11/39) Parabolic Matrix(3065,864,486,137) (-11/39,-20/71) -> (44/7,19/3) Hyperbolic Matrix(10927,3076,4174,1175) (-20/71,-9/32) -> (89/34,144/55) Hyperbolic Matrix(349,98,-1948,-547) (-9/32,-7/25) -> (-7/39,-5/28) Hyperbolic Matrix(2149,600,1250,349) (-7/25,-12/43) -> (12/7,43/25) Hyperbolic Matrix(2567,716,484,135) (-12/43,-17/61) -> (37/7,16/3) Hyperbolic Matrix(621,172,278,77) (-5/18,-8/29) -> (20/9,9/4) Hyperbolic Matrix(2141,590,1310,361) (-8/29,-11/40) -> (49/30,18/11) Hyperbolic Matrix(479,130,70,19) (-3/11,-10/37) -> (20/3,7/1) Hyperbolic Matrix(341,92,-1642,-443) (-10/37,-7/26) -> (-5/24,-6/29) Hyperbolic Matrix(411,110,340,91) (-7/26,-4/15) -> (6/5,17/14) Hyperbolic Matrix(271,72,478,127) (-4/15,-5/19) -> (13/23,4/7) Hyperbolic Matrix(543,142,608,159) (-11/42,-6/23) -> (8/9,9/10) Hyperbolic Matrix(269,70,880,229) (-6/23,-1/4) -> (11/36,4/13) Hyperbolic Matrix(525,124,326,77) (-1/4,-4/17) -> (8/5,29/18) Hyperbolic Matrix(457,106,194,45) (-4/17,-3/13) -> (7/3,26/11) Hyperbolic Matrix(453,104,196,45) (-3/13,-5/22) -> (23/10,7/3) Hyperbolic Matrix(259,58,192,43) (-5/22,-2/9) -> (4/3,19/14) Hyperbolic Matrix(127,28,322,71) (-2/9,-5/23) -> (9/23,2/5) Hyperbolic Matrix(5365,1164,2936,637) (-5/23,-18/83) -> (42/23,53/29) Hyperbolic Matrix(9769,2118,7532,1633) (-18/83,-13/60) -> (83/64,48/37) Hyperbolic Matrix(3317,718,4532,981) (-13/60,-8/37) -> (30/41,41/56) Hyperbolic Matrix(1149,248,3952,853) (-8/37,-11/51) -> (9/31,16/55) Hyperbolic Matrix(65,14,636,137) (-11/51,-3/14) -> (1/10,1/9) Hyperbolic Matrix(9273,1972,3428,729) (-10/47,-17/80) -> (119/44,46/17) Hyperbolic Matrix(1841,390,760,161) (-7/33,-4/19) -> (46/19,17/7) Hyperbolic Matrix(823,172,378,79) (-4/19,-5/24) -> (13/6,24/11) Hyperbolic Matrix(2333,482,818,169) (-6/29,-7/34) -> (57/20,20/7) Hyperbolic Matrix(1057,206,744,145) (-1/5,-5/26) -> (71/50,27/19) Hyperbolic Matrix(679,128,122,23) (-4/21,-3/16) -> (11/2,28/5) Hyperbolic Matrix(429,80,370,69) (-3/16,-5/27) -> (15/13,7/6) Hyperbolic Matrix(2699,498,4352,803) (-5/27,-7/38) -> (31/50,49/79) Hyperbolic Matrix(491,90,60,11) (-7/38,-2/11) -> (8/1,17/2) Hyperbolic Matrix(2381,430,670,121) (-2/11,-9/50) -> (71/20,32/9) Hyperbolic Matrix(1583,282,668,119) (-5/28,-3/17) -> (45/19,19/8) Hyperbolic Matrix(607,106,544,95) (-7/40,-4/23) -> (10/9,9/8) Hyperbolic Matrix(1029,178,422,73) (-4/23,-1/6) -> (39/16,22/9) Hyperbolic Matrix(655,104,296,47) (-1/6,-3/19) -> (11/5,31/14) Hyperbolic Matrix(2013,314,1186,185) (-5/32,-2/13) -> (56/33,17/10) Hyperbolic Matrix(2421,370,530,81) (-2/13,-7/46) -> (73/16,32/7) Hyperbolic Matrix(941,140,410,61) (-3/20,-1/7) -> (39/17,23/10) Hyperbolic Matrix(1105,154,696,97) (-1/7,-3/22) -> (73/46,27/17) Hyperbolic Matrix(575,76,174,23) (-2/15,-1/8) -> (33/10,10/3) Hyperbolic Matrix(283,32,168,19) (-1/8,-1/9) -> (5/3,27/16) Hyperbolic Matrix(615,64,836,87) (-1/9,-1/10) -> (25/34,39/53) Hyperbolic Matrix(387,38,112,11) (-1/10,0/1) -> (38/11,7/2) Hyperbolic Matrix(509,-40,140,-11) (0/1,1/10) -> (109/30,40/11) Hyperbolic Matrix(943,-108,358,-41) (1/9,1/8) -> (79/30,29/11) Hyperbolic Matrix(531,-70,220,-29) (1/8,1/7) -> (41/17,29/12) Hyperbolic Matrix(1129,-170,870,-131) (3/20,2/13) -> (48/37,13/10) Hyperbolic Matrix(217,-34,734,-115) (2/13,1/6) -> (13/44,8/27) Hyperbolic Matrix(467,-82,1532,-269) (4/23,3/17) -> (7/23,18/59) Hyperbolic Matrix(551,-98,298,-53) (3/17,2/11) -> (24/13,13/7) Hyperbolic Matrix(337,-62,212,-39) (2/11,1/5) -> (27/17,8/5) Hyperbolic Matrix(207,-44,494,-105) (1/5,3/14) -> (5/12,13/31) Hyperbolic Matrix(287,-62,412,-89) (3/14,2/9) -> (16/23,7/10) Hyperbolic Matrix(367,-84,284,-65) (2/9,3/13) -> (9/7,22/17) Hyperbolic Matrix(325,-76,526,-123) (3/13,1/4) -> (21/34,13/21) Hyperbolic Matrix(317,-84,434,-115) (1/4,4/15) -> (8/11,19/26) Hyperbolic Matrix(355,-96,196,-53) (4/15,3/11) -> (9/5,20/11) Hyperbolic Matrix(275,-76,626,-173) (3/11,5/18) -> (7/16,11/25) Hyperbolic Matrix(351,-98,548,-153) (5/18,2/7) -> (16/25,9/14) Hyperbolic Matrix(2249,-652,852,-247) (2/7,9/31) -> (29/11,66/25) Hyperbolic Matrix(4261,-1240,890,-259) (16/55,7/24) -> (67/14,24/5) Hyperbolic Matrix(581,-170,270,-79) (7/24,5/17) -> (15/7,13/6) Hyperbolic Matrix(3899,-1150,4750,-1401) (5/17,18/61) -> (32/39,55/67) Hyperbolic Matrix(5637,-1664,12314,-3635) (18/61,31/105) -> (27/59,38/83) Hyperbolic Matrix(5249,-1550,850,-251) (31/105,13/44) -> (37/6,31/5) Hyperbolic Matrix(2391,-710,1310,-389) (8/27,11/37) -> (31/17,42/23) Hyperbolic Matrix(653,-198,498,-151) (3/10,7/23) -> (17/13,21/16) Hyperbolic Matrix(3985,-1216,2566,-783) (18/59,11/36) -> (59/38,14/9) Hyperbolic Matrix(381,-118,268,-83) (4/13,1/3) -> (27/19,10/7) Hyperbolic Matrix(259,-92,442,-157) (1/3,5/14) -> (7/12,17/29) Hyperbolic Matrix(957,-344,1544,-555) (5/14,9/25) -> (13/21,31/50) Hyperbolic Matrix(2095,-756,3306,-1193) (9/25,13/36) -> (19/30,45/71) Hyperbolic Matrix(1101,-398,2498,-903) (13/36,4/11) -> (26/59,15/34) Hyperbolic Matrix(1537,-562,3662,-1339) (4/11,15/41) -> (13/31,34/81) Hyperbolic Matrix(1867,-684,2634,-965) (15/41,11/30) -> (17/24,39/55) Hyperbolic Matrix(805,-296,1096,-403) (11/30,7/19) -> (11/15,25/34) Hyperbolic Matrix(183,-68,218,-81) (7/19,3/8) -> (5/6,11/13) Hyperbolic Matrix(653,-246,146,-55) (3/8,14/37) -> (40/9,9/2) Hyperbolic Matrix(2249,-852,652,-247) (14/37,11/29) -> (31/9,38/11) Hyperbolic Matrix(943,-358,108,-41) (11/29,19/50) -> (17/2,9/1) Hyperbolic Matrix(3115,-1184,834,-317) (19/50,8/21) -> (56/15,15/4) Hyperbolic Matrix(3437,-1312,1412,-539) (8/21,21/55) -> (17/7,56/23) Hyperbolic Matrix(2387,-912,3112,-1189) (21/55,13/34) -> (23/30,33/43) Hyperbolic Matrix(3615,-1384,2134,-817) (13/34,18/47) -> (22/13,61/36) Hyperbolic Matrix(1193,-458,758,-291) (18/47,5/13) -> (11/7,52/33) Hyperbolic Matrix(253,-98,648,-251) (5/13,7/18) -> (7/18,9/23) Parabolic Matrix(3437,-1412,1312,-539) (16/39,7/17) -> (55/21,76/29) Hyperbolic Matrix(3857,-1594,8844,-3655) (19/46,31/75) -> (17/39,41/94) Hyperbolic Matrix(1025,-424,1274,-527) (31/75,12/29) -> (4/5,25/31) Hyperbolic Matrix(531,-220,70,-29) (12/29,5/12) -> (15/2,8/1) Hyperbolic Matrix(4297,-1804,9754,-4095) (34/81,21/50) -> (37/84,26/59) Hyperbolic Matrix(7745,-3254,2254,-947) (21/50,29/69) -> (79/23,55/16) Hyperbolic Matrix(17495,-7354,6654,-2797) (29/69,37/88) -> (163/62,71/27) Hyperbolic Matrix(11193,-4708,4258,-1791) (37/88,8/19) -> (92/35,163/62) Hyperbolic Matrix(2637,-1114,5764,-2435) (19/45,30/71) -> (16/35,27/59) Hyperbolic Matrix(6081,-2570,1370,-579) (30/71,11/26) -> (71/16,40/9) Hyperbolic Matrix(4177,-1822,9122,-3979) (41/94,24/55) -> (38/83,11/24) Hyperbolic Matrix(6231,-2720,1670,-729) (24/55,7/16) -> (97/26,56/15) Hyperbolic Matrix(5277,-2324,6074,-2675) (11/25,37/84) -> (33/38,53/61) Hyperbolic Matrix(417,-184,34,-15) (15/34,19/43) -> (11/1,1/0) Hyperbolic Matrix(7801,-3448,2948,-1303) (19/43,23/52) -> (127/48,45/17) Hyperbolic Matrix(5407,-2394,2044,-905) (23/52,4/9) -> (82/31,127/48) Hyperbolic Matrix(2171,-978,828,-373) (9/20,14/31) -> (76/29,21/8) Hyperbolic Matrix(2333,-1066,4016,-1835) (5/11,16/35) -> (18/31,61/105) Hyperbolic Matrix(581,-270,170,-79) (6/13,1/2) -> (41/12,24/7) Hyperbolic Matrix(325,-174,424,-227) (1/2,7/13) -> (13/17,23/30) Hyperbolic Matrix(551,-298,98,-53) (7/13,6/11) -> (28/5,17/3) Hyperbolic Matrix(355,-196,96,-53) (6/11,5/9) -> (11/3,26/7) Hyperbolic Matrix(289,-162,512,-287) (5/9,9/16) -> (9/16,13/23) Parabolic Matrix(1077,-622,1522,-879) (15/26,11/19) -> (29/41,17/24) Hyperbolic Matrix(697,-404,854,-495) (11/19,18/31) -> (22/27,9/11) Hyperbolic Matrix(6799,-3950,3100,-1801) (61/105,43/74) -> (57/26,11/5) Hyperbolic Matrix(4395,-2554,2404,-1397) (43/74,25/43) -> (53/29,11/6) Hyperbolic Matrix(631,-370,220,-129) (17/29,10/17) -> (20/7,3/1) Hyperbolic Matrix(8115,-4784,2234,-1317) (33/56,23/39) -> (69/19,109/30) Hyperbolic Matrix(3615,-2134,1384,-817) (23/39,13/22) -> (47/18,81/31) Hyperbolic Matrix(629,-372,722,-427) (13/22,16/27) -> (20/23,7/8) Hyperbolic Matrix(155,-94,94,-57) (3/5,8/13) -> (18/11,5/3) Hyperbolic Matrix(1267,-782,1732,-1069) (8/13,21/34) -> (19/26,30/41) Hyperbolic Matrix(2963,-1838,1388,-861) (49/79,18/29) -> (32/15,15/7) Hyperbolic Matrix(337,-212,62,-39) (5/8,12/19) -> (16/3,11/2) Hyperbolic Matrix(857,-542,1042,-659) (12/19,19/30) -> (23/28,14/17) Hyperbolic Matrix(7131,-4520,2570,-1629) (45/71,26/41) -> (86/31,25/9) Hyperbolic Matrix(1193,-758,458,-291) (26/41,7/11) -> (13/5,60/23) Hyperbolic Matrix(977,-624,274,-175) (7/11,16/25) -> (32/9,25/7) Hyperbolic Matrix(61,-40,90,-59) (9/14,2/3) -> (2/3,11/16) Parabolic Matrix(2043,-1406,356,-245) (11/16,31/45) -> (63/11,23/4) Hyperbolic Matrix(13025,-8974,4974,-3427) (31/45,51/74) -> (199/76,55/21) Hyperbolic Matrix(16427,-11324,6274,-4325) (51/74,20/29) -> (144/55,199/76) Hyperbolic Matrix(1301,-898,1598,-1103) (20/29,9/13) -> (35/43,22/27) Hyperbolic Matrix(945,-656,206,-143) (9/13,16/23) -> (32/7,23/5) Hyperbolic Matrix(381,-268,118,-83) (7/10,12/17) -> (16/5,13/4) Hyperbolic Matrix(1465,-1036,1786,-1263) (12/17,29/41) -> (9/11,32/39) Hyperbolic Matrix(7431,-5270,2720,-1929) (39/55,22/31) -> (112/41,41/15) Hyperbolic Matrix(2749,-1952,1052,-747) (22/31,5/7) -> (81/31,34/13) Hyperbolic Matrix(203,-146,146,-105) (5/7,8/11) -> (18/13,7/5) Hyperbolic Matrix(3405,-2494,2194,-1607) (41/56,11/15) -> (45/29,59/38) Hyperbolic Matrix(5761,-4240,2390,-1759) (39/53,14/19) -> (94/39,41/17) Hyperbolic Matrix(653,-498,198,-151) (3/4,13/17) -> (23/7,33/10) Hyperbolic Matrix(7723,-5928,4978,-3821) (33/43,43/56) -> (121/78,45/29) Hyperbolic Matrix(367,-284,84,-65) (10/13,7/9) -> (13/3,22/5) Hyperbolic Matrix(309,-242,392,-307) (7/9,11/14) -> (11/14,15/19) Parabolic Matrix(7499,-6050,3100,-2501) (25/31,21/26) -> (179/74,75/31) Hyperbolic Matrix(2653,-2146,2046,-1655) (21/26,17/21) -> (35/27,83/64) Hyperbolic Matrix(1627,-1324,1874,-1525) (13/16,35/43) -> (13/15,33/38) Hyperbolic Matrix(731,-620,270,-229) (11/13,6/7) -> (46/17,19/7) Hyperbolic Matrix(9149,-7950,1900,-1651) (53/61,20/23) -> (130/27,53/11) Hyperbolic Matrix(903,-796,346,-305) (7/8,8/9) -> (60/23,47/18) Hyperbolic Matrix(497,-454,104,-95) (9/10,1/1) -> (43/9,67/14) Hyperbolic Matrix(735,-814,214,-237) (1/1,10/9) -> (24/7,79/23) Hyperbolic Matrix(703,-796,446,-505) (9/8,8/7) -> (52/33,41/26) Hyperbolic Matrix(629,-722,372,-427) (8/7,15/13) -> (49/29,22/13) Hyperbolic Matrix(183,-218,68,-81) (7/6,6/5) -> (8/3,27/10) Hyperbolic Matrix(857,-1042,542,-659) (17/14,11/9) -> (49/31,19/12) Hyperbolic Matrix(697,-854,404,-495) (11/9,16/13) -> (50/29,19/11) Hyperbolic Matrix(1475,-1824,224,-277) (21/17,26/21) -> (46/7,33/5) Hyperbolic Matrix(1025,-1274,424,-527) (26/21,5/4) -> (29/12,104/43) Hyperbolic Matrix(309,-392,242,-307) (5/4,14/11) -> (14/11,23/18) Parabolic Matrix(981,-1270,370,-479) (22/17,35/27) -> (45/17,8/3) Hyperbolic Matrix(325,-424,174,-227) (13/10,17/13) -> (13/7,15/8) Hyperbolic Matrix(805,-1096,296,-403) (19/14,15/11) -> (19/7,49/18) Hyperbolic Matrix(317,-434,84,-115) (15/11,11/8) -> (15/4,19/5) Hyperbolic Matrix(1219,-1682,882,-1217) (11/8,29/21) -> (29/21,47/34) Parabolic Matrix(1163,-1636,686,-965) (7/5,31/22) -> (61/36,39/23) Hyperbolic Matrix(1867,-2634,684,-965) (31/22,24/17) -> (30/11,71/26) Hyperbolic Matrix(1077,-1522,622,-879) (24/17,17/12) -> (45/26,26/15) Hyperbolic Matrix(2729,-3872,1922,-2727) (17/12,44/31) -> (44/31,71/50) Parabolic Matrix(287,-412,62,-89) (10/7,13/9) -> (23/5,14/3) Hyperbolic Matrix(61,-90,40,-59) (13/9,3/2) -> (3/2,17/11) Parabolic Matrix(1961,-3038,1138,-1763) (17/11,31/20) -> (31/18,81/47) Hyperbolic Matrix(7449,-11552,4802,-7447) (31/20,76/49) -> (76/49,121/78) Parabolic Matrix(351,-548,98,-153) (14/9,11/7) -> (25/7,18/5) Hyperbolic Matrix(2095,-3306,756,-1193) (41/26,30/19) -> (36/13,61/22) Hyperbolic Matrix(2345,-3706,1356,-2143) (30/19,49/31) -> (19/11,64/37) Hyperbolic Matrix(2669,-4232,1682,-2667) (19/12,46/29) -> (46/29,73/46) Parabolic Matrix(957,-1544,344,-555) (29/18,21/13) -> (25/9,39/14) Hyperbolic Matrix(325,-526,76,-123) (21/13,13/8) -> (17/4,13/3) Hyperbolic Matrix(1179,-1922,722,-1177) (13/8,31/19) -> (31/19,49/30) Parabolic Matrix(5095,-8606,2956,-4993) (27/16,49/29) -> (81/47,131/76) Hyperbolic Matrix(593,-1006,56,-95) (39/23,56/33) -> (10/1,11/1) Hyperbolic Matrix(259,-442,92,-157) (17/10,12/7) -> (14/5,17/6) Hyperbolic Matrix(4649,-8000,1250,-2151) (43/25,74/43) -> (26/7,93/25) Hyperbolic Matrix(2333,-4016,1066,-1835) (74/43,31/18) -> (35/16,46/21) Hyperbolic Matrix(4057,-6994,844,-1455) (131/76,50/29) -> (24/5,77/16) Hyperbolic Matrix(2069,-3580,330,-571) (64/37,45/26) -> (25/4,44/7) Hyperbolic Matrix(289,-512,162,-287) (7/4,16/9) -> (16/9,25/14) Parabolic Matrix(1631,-2970,620,-1129) (20/11,31/17) -> (71/27,50/19) Hyperbolic Matrix(361,-688,138,-263) (15/8,2/1) -> (34/13,89/34) Hyperbolic Matrix(273,-578,128,-271) (2/1,17/8) -> (17/8,32/15) Parabolic Matrix(2637,-5764,1114,-2435) (24/11,35/16) -> (71/30,116/49) Hyperbolic Matrix(7129,-15620,2570,-5631) (46/21,57/26) -> (233/84,86/31) Hyperbolic Matrix(1135,-2516,466,-1033) (31/14,20/9) -> (56/23,39/16) Hyperbolic Matrix(275,-626,76,-173) (9/4,16/7) -> (18/5,29/8) Hyperbolic Matrix(2355,-5396,896,-2053) (16/7,55/24) -> (21/8,92/35) Hyperbolic Matrix(3857,-8844,1594,-3655) (55/24,39/17) -> (75/31,121/50) Hyperbolic Matrix(2867,-6784,1084,-2565) (26/11,71/30) -> (37/14,82/31) Hyperbolic Matrix(2583,-6116,416,-985) (116/49,45/19) -> (31/5,56/9) Hyperbolic Matrix(207,-494,44,-105) (19/8,12/5) -> (14/3,19/4) Hyperbolic Matrix(2333,-5618,968,-2331) (12/5,53/22) -> (53/22,94/39) Parabolic Matrix(20973,-50728,7678,-18571) (104/43,179/74) -> (295/108,112/41) Hyperbolic Matrix(3275,-7926,526,-1273) (121/50,46/19) -> (56/9,25/4) Hyperbolic Matrix(253,-648,98,-251) (5/2,18/7) -> (18/7,31/12) Parabolic Matrix(3943,-10658,1458,-3941) (27/10,73/27) -> (73/27,119/44) Parabolic Matrix(1101,-2998,148,-403) (49/18,79/29) -> (37/5,15/2) Hyperbolic Matrix(24523,-66978,8978,-24521) (71/26,183/67) -> (183/67,295/108) Parabolic Matrix(455,-1244,94,-257) (41/15,11/4) -> (29/6,5/1) Hyperbolic Matrix(823,-2276,226,-625) (11/4,36/13) -> (40/11,51/14) Hyperbolic Matrix(15583,-43218,5618,-15581) (61/22,147/53) -> (147/53,233/84) Parabolic Matrix(2165,-6034,634,-1767) (39/14,53/19) -> (99/29,41/12) Hyperbolic Matrix(963,-2738,338,-961) (17/6,37/13) -> (37/13,57/20) Parabolic Matrix(229,-722,72,-227) (3/1,19/6) -> (19/6,35/11) Parabolic Matrix(467,-1532,82,-269) (36/11,23/7) -> (17/3,40/7) Hyperbolic Matrix(1065,-3586,286,-963) (37/11,27/8) -> (67/18,41/11) Hyperbolic Matrix(217,-734,34,-115) (27/8,17/5) -> (19/3,13/2) Hyperbolic Matrix(1973,-6728,578,-1971) (17/5,58/17) -> (58/17,99/29) Parabolic Matrix(859,-3042,242,-857) (7/2,39/11) -> (39/11,71/20) Parabolic Matrix(2733,-9916,616,-2235) (29/8,98/27) -> (102/23,71/16) Hyperbolic Matrix(2775,-10076,626,-2273) (98/27,69/19) -> (31/7,102/23) Hyperbolic Matrix(829,-3022,172,-627) (51/14,11/3) -> (53/11,29/6) Hyperbolic Matrix(2273,-8476,476,-1775) (41/11,97/26) -> (105/22,43/9) Hyperbolic Matrix(41,-160,10,-39) (19/5,4/1) -> (4/1,21/5) Parabolic Matrix(767,-3234,134,-565) (21/5,38/9) -> (40/7,63/11) Hyperbolic Matrix(305,-1346,46,-203) (22/5,31/7) -> (33/5,20/3) Hyperbolic Matrix(739,-3362,162,-737) (9/2,41/9) -> (41/9,73/16) Parabolic Matrix(1613,-7688,338,-1611) (19/4,62/13) -> (62/13,105/22) Parabolic Matrix(2279,-10970,370,-1781) (77/16,130/27) -> (80/13,37/6) Hyperbolic Matrix(169,-882,32,-167) (5/1,21/4) -> (21/4,37/7) Parabolic Matrix(603,-3698,98,-601) (6/1,43/7) -> (43/7,80/13) Parabolic Matrix(133,-968,18,-131) (7/1,22/3) -> (22/3,37/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,46,1) Matrix(761,362,288,137) -> Matrix(175,-4,1094,-25) Matrix(1793,842,658,309) -> Matrix(259,-6,1770,-41) Matrix(279,130,470,219) -> Matrix(85,-2,1318,-31) Matrix(369,170,280,129) -> Matrix(169,-4,1648,-39) Matrix(463,212,-1662,-761) -> Matrix(253,-6,8054,-191) Matrix(637,288,1462,661) -> Matrix(251,-6,4058,-97) Matrix(913,412,-2462,-1111) -> Matrix(167,-4,6054,-145) Matrix(633,284,-2084,-935) -> Matrix(247,-6,8110,-197) Matrix(451,202,998,447) -> Matrix(83,-2,1370,-33) Matrix(625,276,1524,673) -> Matrix(81,-2,1418,-35) Matrix(445,196,-1696,-747) -> Matrix(83,-2,2532,-61) Matrix(979,430,2320,1019) -> Matrix(83,-2,1370,-33) Matrix(1249,548,-3298,-1447) -> Matrix(163,-4,6072,-149) Matrix(5145,2246,1954,853) -> Matrix(323,-8,2140,-53) Matrix(3461,1510,1240,541) -> Matrix(81,-2,446,-11) Matrix(533,232,618,269) -> Matrix(1,0,-28,1) Matrix(973,422,528,229) -> Matrix(81,-2,608,-15) Matrix(619,268,-2118,-917) -> Matrix(81,-2,2552,-63) Matrix(1041,442,-2692,-1143) -> Matrix(1,0,-2,1) Matrix(519,220,1130,479) -> Matrix(159,-4,2584,-65) Matrix(1037,438,2512,1061) -> Matrix(1,0,-22,1) Matrix(517,218,-1468,-619) -> Matrix(1,0,-4,1) Matrix(861,362,88,37) -> Matrix(159,-4,358,-9) Matrix(5345,2246,1554,653) -> Matrix(315,-8,1772,-45) Matrix(3277,1376,774,325) -> Matrix(157,-4,746,-19) Matrix(6205,2604,946,397) -> Matrix(1,0,-36,1) Matrix(12493,5242,3358,1409) -> Matrix(79,-2,514,-13) Matrix(1117,468,432,181) -> Matrix(235,-6,1606,-41) Matrix(255,106,344,143) -> Matrix(77,-2,1040,-27) Matrix(257,106,594,245) -> Matrix(75,-2,1238,-33) Matrix(253,104,596,245) -> Matrix(79,-2,1304,-33) Matrix(421,172,678,277) -> Matrix(75,-2,1088,-29) Matrix(1073,422,328,129) -> Matrix(77,-2,424,-11) Matrix(245,96,-1396,-547) -> Matrix(77,-2,2118,-55) Matrix(737,288,412,161) -> Matrix(77,-2,578,-15) Matrix(407,158,492,191) -> Matrix(75,-2,938,-25) Matrix(569,220,-2770,-1071) -> Matrix(75,-2,2138,-57) Matrix(83,32,568,219) -> Matrix(75,-2,1538,-41) Matrix(245,94,-894,-343) -> Matrix(73,-2,2300,-63) Matrix(325,124,726,277) -> Matrix(1,0,-22,1) Matrix(163,62,-1212,-461) -> Matrix(1,0,-12,1) Matrix(1453,552,2498,949) -> Matrix(151,-4,2152,-57) Matrix(723,274,-4024,-1525) -> Matrix(75,-2,2138,-57) Matrix(239,90,-640,-241) -> Matrix(75,-2,2738,-73) Matrix(2629,978,3422,1273) -> Matrix(73,-2,986,-27) Matrix(5095,1894,6206,2307) -> Matrix(737,-20,9102,-247) Matrix(555,206,-3656,-1357) -> Matrix(73,-2,2154,-59) Matrix(319,118,-1668,-617) -> Matrix(145,-4,4024,-111) Matrix(1029,380,1270,469) -> Matrix(75,-2,938,-25) Matrix(397,146,-1346,-495) -> Matrix(71,-2,2308,-65) Matrix(159,58,392,143) -> Matrix(1,0,-20,1) Matrix(469,170,80,29) -> Matrix(145,-4,544,-15) Matrix(233,84,-1484,-535) -> Matrix(73,-2,1862,-51) Matrix(701,252,548,197) -> Matrix(361,-10,3574,-99) Matrix(311,110,540,191) -> Matrix(141,-4,2080,-59) Matrix(769,270,-3620,-1271) -> Matrix(1,0,-6,1) Matrix(229,80,770,269) -> Matrix(71,-2,1314,-37) Matrix(733,232,218,69) -> Matrix(1,0,-28,1) Matrix(217,68,-1018,-319) -> Matrix(67,-2,1910,-57) Matrix(507,158,292,91) -> Matrix(67,-2,570,-17) Matrix(287,88,362,111) -> Matrix(265,-8,3412,-103) Matrix(1649,500,2800,849) -> Matrix(65,-2,1008,-31) Matrix(73,22,428,129) -> Matrix(65,-2,1398,-43) Matrix(355,106,144,43) -> Matrix(65,-2,488,-15) Matrix(2061,610,1490,441) -> Matrix(65,-2,878,-27) Matrix(1133,332,918,269) -> Matrix(1,0,-22,1) Matrix(2475,724,776,227) -> Matrix(321,-10,1894,-59) Matrix(213,62,-1412,-411) -> Matrix(65,-2,1788,-55) Matrix(139,40,-490,-141) -> Matrix(129,-4,4096,-127) Matrix(3065,864,486,137) -> Matrix(253,-8,854,-27) Matrix(10927,3076,4174,1175) -> Matrix(63,-2,410,-13) Matrix(349,98,-1948,-547) -> Matrix(63,-2,1796,-57) Matrix(2149,600,1250,349) -> Matrix(65,-2,488,-15) Matrix(2567,716,484,135) -> Matrix(449,-14,1764,-55) Matrix(621,172,278,77) -> Matrix(63,-2,536,-17) Matrix(2141,590,1310,361) -> Matrix(63,-2,914,-29) Matrix(479,130,70,19) -> Matrix(61,-2,214,-7) Matrix(341,92,-1642,-443) -> Matrix(63,-2,1796,-57) Matrix(411,110,340,91) -> Matrix(125,-4,1344,-43) Matrix(271,72,478,127) -> Matrix(249,-8,3704,-119) Matrix(543,142,608,159) -> Matrix(245,-8,3032,-99) Matrix(269,70,880,229) -> Matrix(1,0,-12,1) Matrix(525,124,326,77) -> Matrix(1,0,-22,1) Matrix(457,106,194,45) -> Matrix(59,-2,502,-17) Matrix(453,104,196,45) -> Matrix(59,-2,384,-13) Matrix(259,58,192,43) -> Matrix(1,0,-20,1) Matrix(127,28,322,71) -> Matrix(117,-4,1960,-67) Matrix(5365,1164,2936,637) -> Matrix(115,-4,604,-21) Matrix(9769,2118,7532,1633) -> Matrix(287,-10,2784,-97) Matrix(3317,718,4532,981) -> Matrix(231,-8,3032,-105) Matrix(1149,248,3952,853) -> Matrix(229,-8,4208,-147) Matrix(65,14,636,137) -> Matrix(57,-2,1226,-43) Matrix(9273,1972,3428,729) -> Matrix(1,0,-20,1) Matrix(1841,390,760,161) -> Matrix(57,-2,428,-15) Matrix(823,172,378,79) -> Matrix(57,-2,428,-15) Matrix(2333,482,818,169) -> Matrix(57,-2,428,-15) Matrix(1057,206,744,145) -> Matrix(169,-6,1662,-59) Matrix(679,128,122,23) -> Matrix(57,-2,200,-7) Matrix(429,80,370,69) -> Matrix(55,-2,578,-21) Matrix(2699,498,4352,803) -> Matrix(111,-4,1582,-57) Matrix(491,90,60,11) -> Matrix(109,-4,300,-11) Matrix(2381,430,670,121) -> Matrix(49,-2,270,-11) Matrix(1583,282,668,119) -> Matrix(1,0,-20,1) Matrix(607,106,544,95) -> Matrix(109,-4,1172,-43) Matrix(1029,178,422,73) -> Matrix(55,-2,358,-13) Matrix(655,104,296,47) -> Matrix(53,-2,398,-15) Matrix(2013,314,1186,185) -> Matrix(1,0,-18,1) Matrix(2421,370,530,81) -> Matrix(39,-2,176,-9) Matrix(941,140,410,61) -> Matrix(1,0,-20,1) Matrix(1105,154,696,97) -> Matrix(53,-2,398,-15) Matrix(575,76,174,23) -> Matrix(1,0,-20,1) Matrix(283,32,168,19) -> Matrix(51,-2,434,-17) Matrix(615,64,836,87) -> Matrix(49,-2,662,-27) Matrix(387,38,112,11) -> Matrix(49,-2,270,-11) Matrix(509,-40,140,-11) -> Matrix(45,-2,248,-11) Matrix(943,-108,358,-41) -> Matrix(47,-2,306,-13) Matrix(531,-70,220,-29) -> Matrix(1,0,-14,1) Matrix(1129,-170,870,-131) -> Matrix(81,-4,790,-39) Matrix(217,-34,734,-115) -> Matrix(39,-2,722,-37) Matrix(467,-82,1532,-269) -> Matrix(41,-2,800,-39) Matrix(551,-98,298,-53) -> Matrix(41,-2,308,-15) Matrix(337,-62,212,-39) -> Matrix(1,0,-12,1) Matrix(207,-44,494,-105) -> Matrix(39,-2,644,-33) Matrix(287,-62,412,-89) -> Matrix(37,-2,500,-27) Matrix(367,-84,284,-65) -> Matrix(41,-2,390,-19) Matrix(325,-76,526,-123) -> Matrix(79,-4,1126,-57) Matrix(317,-84,434,-115) -> Matrix(75,-4,994,-53) Matrix(355,-96,196,-53) -> Matrix(37,-2,278,-15) Matrix(275,-76,626,-173) -> Matrix(35,-2,578,-33) Matrix(351,-98,548,-153) -> Matrix(35,-2,508,-29) Matrix(2249,-652,852,-247) -> Matrix(149,-8,950,-51) Matrix(4261,-1240,890,-259) -> Matrix(73,-4,274,-15) Matrix(581,-170,270,-79) -> Matrix(37,-2,278,-15) Matrix(3899,-1150,4750,-1401) -> Matrix(263,-14,3250,-173) Matrix(5637,-1664,12314,-3635) -> Matrix(297,-16,4882,-263) Matrix(5249,-1550,850,-251) -> Matrix(519,-28,1798,-97) Matrix(2391,-710,1310,-389) -> Matrix(1,0,-12,1) Matrix(653,-198,498,-151) -> Matrix(37,-2,352,-19) Matrix(3985,-1216,2566,-783) -> Matrix(77,-4,674,-35) Matrix(381,-118,268,-83) -> Matrix(73,-4,712,-39) Matrix(259,-92,442,-157) -> Matrix(35,-2,508,-29) Matrix(957,-344,1544,-555) -> Matrix(71,-4,1012,-57) Matrix(2095,-756,3306,-1193) -> Matrix(35,-2,368,-21) Matrix(1101,-398,2498,-903) -> Matrix(277,-16,4484,-259) Matrix(1537,-562,3662,-1339) -> Matrix(1,0,0,1) Matrix(1867,-684,2634,-965) -> Matrix(37,-2,500,-27) Matrix(805,-296,1096,-403) -> Matrix(1,0,-4,1) Matrix(183,-68,218,-81) -> Matrix(35,-2,438,-25) Matrix(653,-246,146,-55) -> Matrix(69,-4,328,-19) Matrix(2249,-852,652,-247) -> Matrix(1,0,-12,1) Matrix(943,-358,108,-41) -> Matrix(209,-12,540,-31) Matrix(3115,-1184,834,-317) -> Matrix(139,-8,782,-45) Matrix(3437,-1312,1412,-539) -> Matrix(103,-6,704,-41) Matrix(2387,-912,3112,-1189) -> Matrix(67,-4,888,-53) Matrix(3615,-1384,2134,-817) -> Matrix(69,-4,604,-35) Matrix(1193,-458,758,-291) -> Matrix(103,-6,910,-53) Matrix(253,-98,648,-251) -> Matrix(239,-14,4046,-237) Matrix(3437,-1412,1312,-539) -> Matrix(35,-2,228,-13) Matrix(3857,-1594,8844,-3655) -> Matrix(107,-6,1730,-97) Matrix(1025,-424,1274,-527) -> Matrix(103,-6,1322,-77) Matrix(531,-220,70,-29) -> Matrix(103,-6,292,-17) Matrix(4297,-1804,9754,-4095) -> Matrix(63,-4,1024,-65) Matrix(7745,-3254,2254,-947) -> Matrix(139,-8,782,-45) Matrix(17495,-7354,6654,-2797) -> Matrix(239,-14,1656,-97) Matrix(11193,-4708,4258,-1791) -> Matrix(135,-8,962,-57) Matrix(2637,-1114,5764,-2435) -> Matrix(235,-14,3844,-229) Matrix(6081,-2570,1370,-579) -> Matrix(301,-18,1388,-83) Matrix(4177,-1822,9122,-3979) -> Matrix(453,-28,7426,-459) Matrix(6231,-2720,1670,-729) -> Matrix(161,-10,950,-59) Matrix(5277,-2324,6074,-2675) -> Matrix(65,-4,634,-39) Matrix(417,-184,34,-15) -> Matrix(129,-8,242,-15) Matrix(7801,-3448,2948,-1303) -> Matrix(353,-22,2102,-131) Matrix(5407,-2394,2044,-905) -> Matrix(255,-16,1546,-97) Matrix(2171,-978,828,-373) -> Matrix(35,-2,228,-13) Matrix(2333,-1066,4016,-1835) -> Matrix(131,-8,1916,-117) Matrix(581,-270,170,-79) -> Matrix(97,-6,566,-35) Matrix(325,-174,424,-227) -> Matrix(59,-4,782,-53) Matrix(551,-298,98,-53) -> Matrix(33,-2,116,-7) Matrix(355,-196,96,-53) -> Matrix(31,-2,140,-9) Matrix(289,-162,512,-287) -> Matrix(271,-18,4050,-269) Matrix(1077,-622,1522,-879) -> Matrix(59,-4,782,-53) Matrix(697,-404,854,-495) -> Matrix(115,-8,1452,-101) Matrix(6799,-3950,3100,-1801) -> Matrix(29,-2,334,-23) Matrix(4395,-2554,2404,-1397) -> Matrix(29,-2,102,-7) Matrix(631,-370,220,-129) -> Matrix(1,0,-8,1) Matrix(8115,-4784,2234,-1317) -> Matrix(57,-4,328,-23) Matrix(3615,-2134,1384,-817) -> Matrix(31,-2,202,-13) Matrix(629,-372,722,-427) -> Matrix(1,0,-2,1) Matrix(155,-94,94,-57) -> Matrix(29,-2,276,-19) Matrix(1267,-782,1732,-1069) -> Matrix(143,-10,1902,-133) Matrix(2963,-1838,1388,-861) -> Matrix(57,-4,442,-31) Matrix(337,-212,62,-39) -> Matrix(85,-6,326,-23) Matrix(857,-542,1042,-659) -> Matrix(55,-4,674,-49) Matrix(7131,-4520,2570,-1629) -> Matrix(15,-2,98,-13) Matrix(1193,-758,458,-291) -> Matrix(31,-2,202,-13) Matrix(977,-624,274,-175) -> Matrix(59,-4,310,-21) Matrix(61,-40,90,-59) -> Matrix(57,-4,784,-55) Matrix(2043,-1406,356,-245) -> Matrix(27,-2,122,-9) Matrix(13025,-8974,4974,-3427) -> Matrix(55,-4,344,-25) Matrix(16427,-11324,6274,-4325) -> Matrix(27,-2,230,-17) Matrix(1301,-898,1598,-1103) -> Matrix(53,-4,676,-51) Matrix(945,-656,206,-143) -> Matrix(163,-12,720,-53) Matrix(381,-268,118,-83) -> Matrix(29,-2,160,-11) Matrix(1465,-1036,1786,-1263) -> Matrix(163,-12,2024,-149) Matrix(7431,-5270,2720,-1929) -> Matrix(163,-12,1046,-77) Matrix(2749,-1952,1052,-747) -> Matrix(53,-4,358,-27) Matrix(203,-146,146,-105) -> Matrix(27,-2,284,-21) Matrix(3405,-2494,2194,-1607) -> Matrix(157,-12,1400,-107) Matrix(5761,-4240,2390,-1759) -> Matrix(53,-4,358,-27) Matrix(653,-498,198,-151) -> Matrix(27,-2,122,-9) Matrix(7723,-5928,4978,-3821) -> Matrix(339,-26,3038,-233) Matrix(367,-284,84,-65) -> Matrix(79,-6,382,-29) Matrix(309,-242,392,-307) -> Matrix(287,-22,3718,-285) Matrix(7499,-6050,3100,-2501) -> Matrix(281,-22,2082,-163) Matrix(2653,-2146,2046,-1655) -> Matrix(203,-16,1992,-157) Matrix(1627,-1324,1874,-1525) -> Matrix(25,-2,338,-27) Matrix(731,-620,270,-229) -> Matrix(25,-2,188,-15) Matrix(9149,-7950,1900,-1651) -> Matrix(1,0,-4,1) Matrix(903,-796,346,-305) -> Matrix(1,0,-6,1) Matrix(497,-454,104,-95) -> Matrix(73,-6,280,-23) Matrix(735,-814,214,-237) -> Matrix(107,-10,610,-57) Matrix(703,-796,446,-505) -> Matrix(83,-8,716,-69) Matrix(629,-722,372,-427) -> Matrix(19,-2,162,-17) Matrix(183,-218,68,-81) -> Matrix(1,0,-4,1) Matrix(857,-1042,542,-659) -> Matrix(85,-8,712,-67) Matrix(697,-854,404,-495) -> Matrix(21,-2,116,-11) Matrix(1475,-1824,224,-277) -> Matrix(43,-4,140,-13) Matrix(1025,-1274,424,-527) -> Matrix(41,-4,318,-31) Matrix(309,-392,242,-307) -> Matrix(161,-16,1600,-159) Matrix(981,-1270,370,-479) -> Matrix(19,-2,124,-13) Matrix(325,-424,174,-227) -> Matrix(19,-2,162,-17) Matrix(805,-1096,296,-403) -> Matrix(1,0,-2,1) Matrix(317,-434,84,-115) -> Matrix(17,-2,94,-11) Matrix(1219,-1682,882,-1217) -> Matrix(1,0,8,1) Matrix(1163,-1636,686,-965) -> Matrix(39,-4,322,-33) Matrix(1867,-2634,684,-965) -> Matrix(37,-4,250,-27) Matrix(1077,-1522,622,-879) -> Matrix(1,0,0,1) Matrix(2729,-3872,1922,-2727) -> Matrix(121,-12,1200,-119) Matrix(287,-412,62,-89) -> Matrix(39,-4,166,-17) Matrix(61,-90,40,-59) -> Matrix(19,-2,162,-17) Matrix(1961,-3038,1138,-1763) -> Matrix(37,-4,250,-27) Matrix(7449,-11552,4802,-7447) -> Matrix(397,-44,3564,-395) Matrix(351,-548,98,-153) -> Matrix(35,-4,184,-21) Matrix(2095,-3306,756,-1193) -> Matrix(67,-8,444,-53) Matrix(2345,-3706,1356,-2143) -> Matrix(17,-2,162,-19) Matrix(2669,-4232,1682,-2667) -> Matrix(65,-8,512,-63) Matrix(957,-1544,344,-555) -> Matrix(31,-4,194,-25) Matrix(325,-526,76,-123) -> Matrix(15,-2,68,-9) Matrix(1179,-1922,722,-1177) -> Matrix(1,0,12,1) Matrix(5095,-8606,2956,-4993) -> Matrix(67,-8,444,-53) Matrix(593,-1006,56,-95) -> Matrix(31,-4,70,-9) Matrix(259,-442,92,-157) -> Matrix(1,0,-2,1) Matrix(4649,-8000,1250,-2151) -> Matrix(15,-2,128,-17) Matrix(2333,-4016,1066,-1835) -> Matrix(15,-2,68,-9) Matrix(4057,-6994,844,-1455) -> Matrix(13,-2,46,-7) Matrix(2069,-3580,330,-571) -> Matrix(17,-2,60,-7) Matrix(289,-512,162,-287) -> Matrix(33,-4,256,-31) Matrix(1631,-2970,620,-1129) -> Matrix(29,-4,196,-27) Matrix(361,-688,138,-263) -> Matrix(15,-2,98,-13) Matrix(273,-578,128,-271) -> Matrix(17,-2,128,-15) Matrix(2637,-5764,1114,-2435) -> Matrix(25,-4,194,-31) Matrix(7129,-15620,2570,-5631) -> Matrix(25,2,162,13) Matrix(1135,-2516,466,-1033) -> Matrix(15,-2,98,-13) Matrix(275,-626,76,-173) -> Matrix(1,0,-2,1) Matrix(2355,-5396,896,-2053) -> Matrix(13,-2,98,-15) Matrix(3857,-8844,1594,-3655) -> Matrix(27,-4,196,-29) Matrix(2867,-6784,1084,-2565) -> Matrix(79,-10,482,-61) Matrix(2583,-6116,416,-985) -> Matrix(121,-16,416,-55) Matrix(207,-494,44,-105) -> Matrix(31,-4,132,-17) Matrix(2333,-5618,968,-2331) -> Matrix(43,-6,294,-41) Matrix(20973,-50728,7678,-18571) -> Matrix(211,-28,1364,-181) Matrix(3275,-7926,526,-1273) -> Matrix(61,-8,206,-27) Matrix(253,-648,98,-251) -> Matrix(57,-8,392,-55) Matrix(3943,-10658,1458,-3941) -> Matrix(1,0,4,1) Matrix(1101,-2998,148,-403) -> Matrix(113,-16,332,-47) Matrix(24523,-66978,8978,-24521) -> Matrix(417,-64,2704,-415) Matrix(455,-1244,94,-257) -> Matrix(1,0,-2,1) Matrix(823,-2276,226,-625) -> Matrix(27,-4,142,-21) Matrix(15583,-43218,5618,-15581) -> Matrix(989,-152,6422,-987) Matrix(2165,-6034,634,-1767) -> Matrix(73,-12,432,-71) Matrix(963,-2738,338,-961) -> Matrix(1,0,2,1) Matrix(229,-722,72,-227) -> Matrix(85,-14,504,-83) Matrix(467,-1532,82,-269) -> Matrix(1,0,-2,1) Matrix(1065,-3586,286,-963) -> Matrix(11,-2,72,-13) Matrix(217,-734,34,-115) -> Matrix(9,-2,32,-7) Matrix(1973,-6728,578,-1971) -> Matrix(97,-16,576,-95) Matrix(859,-3042,242,-857) -> Matrix(133,-24,726,-131) Matrix(2733,-9916,616,-2235) -> Matrix(15,-2,68,-9) Matrix(2775,-10076,626,-2273) -> Matrix(57,-10,268,-47) Matrix(829,-3022,172,-627) -> Matrix(11,-2,50,-9) Matrix(2273,-8476,476,-1775) -> Matrix(61,-10,238,-39) Matrix(41,-160,10,-39) -> Matrix(21,-4,100,-19) Matrix(767,-3234,134,-565) -> Matrix(19,-4,62,-13) Matrix(305,-1346,46,-203) -> Matrix(29,-6,92,-19) Matrix(739,-3362,162,-737) -> Matrix(253,-56,1134,-251) Matrix(1613,-7688,338,-1611) -> Matrix(97,-24,384,-95) Matrix(2279,-10970,370,-1781) -> Matrix(19,2,66,7) Matrix(169,-882,32,-167) -> Matrix(105,-26,416,-103) Matrix(603,-3698,98,-601) -> Matrix(309,-88,1078,-307) Matrix(133,-968,18,-131) -> Matrix(97,-32,288,-95) 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): 100 Degree of the the map X: 100 Degree of the the map Y: 300 ----------------------------------------------------------------------- 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 -1/1 0/1 23 1 0/1 (0/1,1/23) 0 25 1/9 0/1 3 5 1/8 1/22 1 25 1/7 (1/21,1/20) 0 25 2/13 1/20 2 5 1/6 1/22 1 25 3/17 2/41 1 5 2/11 (2/41,1/20) 0 25 1/5 (1/20,1/19) 0 25 3/14 3/56 1 25 2/9 (0/1,1/21) 0 25 3/13 (1/20,3/59) 0 25 1/4 1/19 1 5 4/15 (2/37,1/18) 0 25 3/11 (1/19,1/18) 0 25 5/18 1/18 1 25 2/7 (0/1,1/19) 0 25 9/31 2/37 3 5 7/24 1/18 1 25 5/17 (1/19,1/18) 0 25 18/61 (3/56,2/37) 0 25 31/105 (5/93,7/130) 0 25 13/44 5/92 1 25 8/27 1/18 2 5 3/10 1/18 1 25 7/23 0/1 1 5 4/13 (2/37,3/55) 0 25 1/3 (1/18,1/17) 0 25 5/14 1/18 1 25 9/25 (1/18,3/53) 0 25 13/36 13/226 1 25 4/11 1/17 2 5 15/41 (1/17,1/16) 0 25 11/30 1/18 1 25 7/19 (1/17,1/16) 0 25 3/8 1/18 1 25 14/37 (3/53,2/35) 0 25 11/29 2/35 3 5 19/50 3/52 1 25 8/21 (3/52,4/69) 0 25 21/55 (9/154,1/17) 0 25 13/34 1/18 1 25 18/47 3/52 2 5 5/13 (5/86,1/17) 0 25 7/18 1/17 7 1 2/5 (1/17,2/33) 0 25 7/17 (1/18,1/17) 0 25 12/29 (2/35,1/17) 0 25 5/12 5/84 1 25 13/31 (1/17,1/16) 0 25 34/81 1/17 2 5 21/50 1/18 1 25 29/69 (7/120,1/17) 0 25 37/88 1/17 11 1 8/19 (1/17,4/67) 0 25 3/7 2/33 1 5 7/16 1/16 1 25 11/25 (3/49,1/16) 0 25 37/84 9/146 1 25 26/59 5/81 2 5 15/34 15/242 1 25 19/43 (17/273,1/16) 0 25 23/52 1/16 19 1 4/9 (1/16,2/31) 0 25 5/11 (1/17,3/50) 0 25 6/13 (2/33,1/16) 0 25 1/2 1/16 1 25 7/13 0/1 1 5 6/11 (3/47,2/31) 0 25 5/9 (5/76,1/15) 0 25 9/16 1/15 9 1 4/7 (1/15,4/59) 0 25 11/19 2/29 3 5 18/31 (1/15,2/29) 0 25 7/12 1/14 1 25 17/29 (1/15,1/14) 0 25 10/17 (0/1,1/15) 0 25 23/39 (1/15,1/14) 0 25 13/22 1/15 1 5 3/5 (1/15,3/44) 0 25 8/13 (2/29,5/72) 0 25 21/34 3/43 1 5 13/21 (1/15,1/14) 0 25 5/8 1/14 1 25 12/19 (1/14,4/55) 0 25 19/30 3/38 1 25 45/71 (1/10,1/9) 0 25 26/41 (0/1,1/19) 0 25 7/11 (1/15,1/14) 0 25 16/25 (2/29,3/43) 0 25 9/14 1/14 1 25 2/3 1/14 2 5 11/16 1/14 1 25 31/45 (1/14,3/41) 0 25 51/74 3/41 1 1 20/29 (3/41,2/27) 0 25 9/13 (1/14,3/41) 0 25 16/23 (2/27,5/67) 0 25 7/10 1/12 1 25 12/17 (1/14,4/55) 0 25 17/24 1/14 1 25 39/55 (3/41,5/68) 0 25 22/31 (2/27,3/40) 0 25 5/7 (1/14,1/13) 0 25 8/11 (2/27,3/40) 0 25 19/26 1/13 1 5 30/41 (4/53,5/66) 0 25 11/15 (1/13,1/12) 0 25 3/4 1/14 1 25 13/17 4/53 1 5 23/30 5/66 1 25 33/43 (13/170,1/13) 0 25 10/13 (2/27,1/13) 0 25 7/9 (7/92,1/13) 0 25 11/14 1/13 11 1 4/5 (1/13,4/51) 0 25 13/16 3/38 1 25 35/43 (3/38,5/63) 0 25 22/27 (5/63,2/25) 0 25 9/11 2/25 3 5 5/6 1/12 1 25 11/13 (1/13,3/38) 0 25 6/7 (2/25,1/12) 0 25 7/8 1/13 1 5 8/9 (2/25,7/87) 0 25 1/1 (1/12,1/11) 0 25 9/8 7/74 1 25 8/7 1/10 2 5 7/6 1/10 1 25 6/5 (0/1,1/11) 0 25 11/9 2/21 3 5 16/13 (4/41,1/10) 0 25 5/4 1/10 1 25 14/11 1/10 8 1 9/7 (1/10,5/49) 0 25 22/17 (2/19,1/9) 0 25 35/27 (1/10,7/69) 0 25 13/10 1/10 1 25 17/13 2/19 1 5 4/3 (2/19,1/9) 0 25 15/11 (1/9,1/8) 0 25 11/8 1/8 1 25 29/21 0/1 4 1 18/13 (0/1,1/12) 0 25 7/5 (1/11,1/10) 0 25 31/22 5/48 1 25 24/17 (2/19,1/9) 0 25 17/12 1/10 1 25 44/31 1/10 6 1 27/19 (1/10,5/49) 0 25 10/7 (2/19,1/9) 0 25 13/9 (3/28,1/9) 0 25 3/2 1/9 1 5 17/11 (1/10,1/9) 0 25 31/20 9/82 1 25 76/49 1/9 22 1 45/29 (1/9,13/116) 0 25 14/9 (1/9,2/17) 0 25 11/7 (1/9,1/8) 0 25 52/33 3/26 2 5 41/26 11/94 1 25 30/19 (2/17,3/25) 0 25 19/12 1/8 1 25 46/29 1/8 4 1 27/17 (1/8,1/7) 0 25 8/5 (2/17,1/8) 0 25 21/13 (3/22,1/7) 0 25 13/8 1/6 1 25 31/19 0/1 6 1 18/11 (0/1,1/12) 0 25 5/3 (1/9,1/8) 0 25 22/13 1/8 2 5 61/36 3/26 1 25 39/23 (5/41,1/8) 0 25 17/10 1/8 1 25 12/7 (2/17,1/8) 0 25 31/18 5/36 1 25 81/47 (1/7,3/20) 0 25 50/29 (2/13,1/6) 0 25 19/11 0/1 3 5 7/4 1/8 1 25 16/9 1/8 2 1 9/5 (1/8,1/7) 0 25 20/11 (0/1,1/8) 0 25 31/17 (1/7,3/20) 0 25 11/6 1/10 1 25 13/7 0/1 1 5 15/8 1/8 1 25 2/1 (0/1,1/8) 0 25 17/8 1/8 1 1 15/7 (1/8,1/7) 0 25 13/6 1/8 1 25 11/5 (1/9,1/8) 0 25 9/4 1/8 1 25 16/7 (2/15,1/7) 0 25 7/3 0/1 1 5 19/8 1/8 1 25 12/5 (2/15,1/7) 0 25 53/22 1/7 3 1 41/17 (1/7,1/6) 0 25 29/12 1/8 1 25 17/7 (3/22,1/7) 0 25 5/2 1/8 1 25 18/7 1/7 4 1 13/5 (1/7,3/20) 0 25 60/23 (2/13,7/45) 0 25 47/18 1/7 1 5 81/31 (1/7,3/20) 0 25 34/13 (2/13,1/6) 0 25 89/34 1/6 1 25 55/21 (1/7,1/6) 0 25 21/8 1/6 1 25 71/27 (1/7,7/48) 0 25 50/19 (4/27,3/20) 0 25 29/11 2/13 3 5 37/14 9/56 1 25 45/17 (1/6,5/29) 0 25 8/3 (0/1,1/7) 0 25 27/10 1/6 1 25 73/27 0/1 2 1 46/17 (0/1,1/8) 0 25 19/7 (1/7,1/6) 0 25 30/11 (1/7,2/13) 0 25 71/26 7/46 1 25 183/67 2/13 8 1 112/41 (2/13,9/58) 0 25 41/15 (3/19,1/6) 0 25 11/4 1/7 1 5 36/13 (1/7,2/13) 0 25 61/22 15/98 1 25 147/53 2/13 19 1 86/31 (2/13,23/149) 0 25 25/9 (5/32,3/19) 0 25 14/5 (2/13,1/6) 0 25 17/6 1/6 1 25 37/13 0/1 1 1 20/7 (0/1,1/7) 0 25 3/1 (1/7,1/6) 0 25 19/6 1/6 7 1 16/5 (1/6,6/35) 0 25 13/4 5/28 1 25 23/7 2/11 1 5 10/3 (1/6,2/11) 0 25 27/8 1/5 1 5 17/5 (1/7,1/6) 0 25 58/17 1/6 8 1 41/12 1/6 1 25 24/7 (1/6,4/23) 0 25 31/9 2/11 3 5 7/2 1/6 1 25 39/11 2/11 3 1 32/9 (2/11,5/27) 0 25 25/7 (3/16,1/5) 0 25 18/5 (2/11,1/5) 0 25 29/8 1/6 1 25 98/27 1/6 2 1 69/19 (1/6,3/17) 0 25 40/11 (2/11,1/5) 0 25 51/14 1/5 1 5 11/3 (3/16,1/5) 0 25 26/7 (0/1,1/3) 0 25 41/11 (3/19,1/6) 0 25 56/15 (1/6,4/23) 0 25 15/4 1/6 1 25 19/5 (1/6,1/5) 0 25 4/1 1/5 2 5 21/5 (1/5,3/14) 0 25 17/4 3/14 1 25 13/3 (1/6,1/5) 0 25 22/5 (1/5,4/19) 0 25 31/7 (1/5,3/14) 0 25 40/9 (5/23,2/9) 0 25 9/2 3/14 1 25 41/9 2/9 7 1 32/7 (2/9,11/49) 0 25 23/5 (5/22,3/13) 0 25 14/3 (2/9,3/13) 0 25 19/4 1/4 1 25 62/13 1/4 12 1 43/9 (1/4,7/27) 0 25 24/5 (0/1,1/4) 0 25 53/11 (1/6,1/5) 0 25 29/6 1/5 1 5 5/1 (3/13,1/4) 0 25 21/4 1/4 13 1 16/3 (1/4,10/39) 0 25 11/2 1/4 1 25 17/3 2/7 1 5 6/1 (3/11,2/7) 0 25 43/7 2/7 11 1 37/6 19/66 1 25 31/5 (9/31,7/24) 0 25 25/4 3/10 1 25 19/3 (5/17,3/10) 0 25 13/2 1/3 1 5 7/1 (5/16,1/3) 0 25 22/3 1/3 16 1 15/2 11/32 1 25 8/1 (1/3,4/11) 0 25 9/1 2/5 3 5 1/0 1/0 1 25 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Reflection Matrix(137,-14,362,-37) (0/1,1/9) -> (14/37,11/29) Glide Reflection Matrix(311,-38,90,-11) (1/9,1/8) -> (31/9,7/2) Glide Reflection Matrix(531,-70,220,-29) (1/8,1/7) -> (41/17,29/12) Hyperbolic Matrix(219,-32,130,-19) (1/7,2/13) -> (5/3,22/13) Glide Reflection Matrix(217,-34,734,-115) (2/13,1/6) -> (13/44,8/27) Hyperbolic Matrix(129,-22,170,-29) (1/6,3/17) -> (3/4,13/17) Glide Reflection Matrix(423,-76,128,-23) (3/17,2/11) -> (23/7,10/3) Glide Reflection Matrix(337,-62,212,-39) (2/11,1/5) -> (27/17,8/5) Hyperbolic Matrix(207,-44,494,-105) (1/5,3/14) -> (5/12,13/31) Hyperbolic Matrix(287,-62,412,-89) (3/14,2/9) -> (16/23,7/10) Hyperbolic Matrix(367,-84,284,-65) (2/9,3/13) -> (9/7,22/17) Hyperbolic Matrix(325,-76,526,-123) (3/13,1/4) -> (21/34,13/21) Hyperbolic Matrix(317,-84,434,-115) (1/4,4/15) -> (8/11,19/26) Hyperbolic Matrix(355,-96,196,-53) (4/15,3/11) -> (9/5,20/11) Hyperbolic Matrix(275,-76,626,-173) (3/11,5/18) -> (7/16,11/25) Hyperbolic Matrix(351,-98,548,-153) (5/18,2/7) -> (16/25,9/14) Hyperbolic Matrix(311,-90,38,-11) (2/7,9/31) -> (8/1,9/1) Glide Reflection Matrix(853,-248,2246,-653) (9/31,7/24) -> (11/29,19/50) Glide Reflection Matrix(581,-170,270,-79) (7/24,5/17) -> (15/7,13/6) Hyperbolic Matrix(5791,-1708,3360,-991) (5/17,18/61) -> (81/47,50/29) Glide Reflection Matrix(5753,-1698,1196,-353) (18/61,31/105) -> (24/5,53/11) Glide Reflection Matrix(5249,-1550,850,-251) (31/105,13/44) -> (37/6,31/5) Hyperbolic Matrix(269,-80,232,-69) (8/27,3/10) -> (8/7,7/6) Glide Reflection Matrix(423,-128,76,-23) (3/10,7/23) -> (11/2,17/3) Glide Reflection Matrix(229,-70,422,-129) (7/23,4/13) -> (7/13,6/11) Glide Reflection Matrix(381,-118,268,-83) (4/13,1/3) -> (27/19,10/7) Hyperbolic Matrix(259,-92,442,-157) (1/3,5/14) -> (7/12,17/29) Hyperbolic Matrix(479,-172,220,-79) (5/14,9/25) -> (13/6,11/5) Glide Reflection Matrix(2095,-756,3306,-1193) (9/25,13/36) -> (19/30,45/71) Hyperbolic Matrix(1101,-398,2498,-903) (13/36,4/11) -> (26/59,15/34) Hyperbolic Matrix(1537,-562,3662,-1339) (4/11,15/41) -> (13/31,34/81) Hyperbolic Matrix(1867,-684,2634,-965) (15/41,11/30) -> (17/24,39/55) Hyperbolic Matrix(1061,-390,438,-161) (11/30,7/19) -> (29/12,17/7) Glide Reflection Matrix(183,-68,218,-81) (7/19,3/8) -> (5/6,11/13) Hyperbolic Matrix(653,-246,146,-55) (3/8,14/37) -> (40/9,9/2) Hyperbolic Matrix(3115,-1184,834,-317) (19/50,8/21) -> (56/15,15/4) Hyperbolic Matrix(1881,-718,2570,-981) (8/21,21/55) -> (30/41,11/15) Glide Reflection Matrix(2387,-912,3112,-1189) (21/55,13/34) -> (23/30,33/43) Hyperbolic Matrix(3615,-1384,2134,-817) (13/34,18/47) -> (22/13,61/36) Hyperbolic Matrix(1193,-458,758,-291) (18/47,5/13) -> (11/7,52/33) Hyperbolic Matrix(181,-70,468,-181) (5/13,7/18) -> (5/13,7/18) Reflection Matrix(71,-28,180,-71) (7/18,2/5) -> (7/18,2/5) Reflection Matrix(143,-58,106,-43) (2/5,7/17) -> (4/3,15/11) Glide Reflection Matrix(1061,-438,390,-161) (7/17,12/29) -> (19/7,30/11) Glide Reflection Matrix(531,-220,70,-29) (12/29,5/12) -> (15/2,8/1) Hyperbolic Matrix(4297,-1804,9754,-4095) (34/81,21/50) -> (37/84,26/59) Hyperbolic Matrix(4999,-2100,1902,-799) (21/50,29/69) -> (21/8,71/27) Glide Reflection Matrix(5105,-2146,12144,-5105) (29/69,37/88) -> (29/69,37/88) Reflection Matrix(1407,-592,3344,-1407) (37/88,8/19) -> (37/88,8/19) Reflection Matrix(245,-104,106,-45) (8/19,3/7) -> (16/7,7/3) Glide Reflection Matrix(245,-106,104,-45) (3/7,7/16) -> (7/3,19/8) Glide Reflection Matrix(3229,-1422,520,-229) (11/25,37/84) -> (31/5,25/4) Glide Reflection Matrix(3121,-1378,1180,-521) (15/34,19/43) -> (37/14,45/17) Glide Reflection Matrix(1977,-874,4472,-1977) (19/43,23/52) -> (19/43,23/52) Reflection Matrix(415,-184,936,-415) (23/52,4/9) -> (23/52,4/9) Reflection Matrix(277,-124,172,-77) (4/9,5/11) -> (8/5,21/13) Glide Reflection Matrix(479,-220,172,-79) (5/11,6/13) -> (25/9,14/5) Glide Reflection Matrix(581,-270,170,-79) (6/13,1/2) -> (41/12,24/7) Hyperbolic Matrix(325,-174,424,-227) (1/2,7/13) -> (13/17,23/30) Hyperbolic Matrix(355,-196,96,-53) (6/11,5/9) -> (11/3,26/7) Hyperbolic Matrix(161,-90,288,-161) (5/9,9/16) -> (5/9,9/16) Reflection Matrix(127,-72,224,-127) (9/16,4/7) -> (9/16,4/7) Reflection Matrix(191,-110,158,-91) (4/7,11/19) -> (6/5,11/9) Glide Reflection Matrix(697,-404,854,-495) (11/19,18/31) -> (22/27,9/11) Hyperbolic Matrix(949,-552,600,-349) (18/31,7/12) -> (30/19,19/12) Glide Reflection Matrix(631,-370,220,-129) (17/29,10/17) -> (20/7,3/1) Hyperbolic Matrix(1385,-816,314,-185) (10/17,23/39) -> (22/5,31/7) Glide Reflection Matrix(3615,-2134,1384,-817) (23/39,13/22) -> (47/18,81/31) Hyperbolic Matrix(219,-130,32,-19) (13/22,3/5) -> (13/2,7/1) Glide Reflection Matrix(155,-94,94,-57) (3/5,8/13) -> (18/11,5/3) Hyperbolic Matrix(1267,-782,1732,-1069) (8/13,21/34) -> (19/26,30/41) Hyperbolic Matrix(277,-172,124,-77) (13/21,5/8) -> (11/5,9/4) Glide Reflection Matrix(337,-212,62,-39) (5/8,12/19) -> (16/3,11/2) Hyperbolic Matrix(949,-600,552,-349) (12/19,19/30) -> (12/7,31/18) Glide Reflection Matrix(7131,-4520,2570,-1629) (45/71,26/41) -> (86/31,25/9) Hyperbolic Matrix(1193,-758,458,-291) (26/41,7/11) -> (13/5,60/23) Hyperbolic Matrix(977,-624,274,-175) (7/11,16/25) -> (32/9,25/7) Hyperbolic Matrix(61,-40,90,-59) (9/14,2/3) -> (2/3,11/16) Parabolic Matrix(4885,-3364,1866,-1285) (11/16,31/45) -> (89/34,55/21) Glide Reflection Matrix(4589,-3162,6660,-4589) (31/45,51/74) -> (31/45,51/74) Reflection Matrix(2959,-2040,4292,-2959) (51/74,20/29) -> (51/74,20/29) Reflection Matrix(1301,-898,1598,-1103) (20/29,9/13) -> (35/43,22/27) Hyperbolic Matrix(945,-656,206,-143) (9/13,16/23) -> (32/7,23/5) Hyperbolic Matrix(381,-268,118,-83) (7/10,12/17) -> (16/5,13/4) Hyperbolic Matrix(469,-332,380,-269) (12/17,17/24) -> (16/13,5/4) Glide Reflection Matrix(7431,-5270,2720,-1929) (39/55,22/31) -> (112/41,41/15) Hyperbolic Matrix(2749,-1952,1052,-747) (22/31,5/7) -> (81/31,34/13) Hyperbolic Matrix(203,-146,146,-105) (5/7,8/11) -> (18/13,7/5) Hyperbolic Matrix(143,-106,58,-43) (11/15,3/4) -> (17/7,5/2) Glide Reflection Matrix(1187,-912,764,-587) (33/43,10/13) -> (45/29,14/9) Glide Reflection Matrix(367,-284,84,-65) (10/13,7/9) -> (13/3,22/5) Hyperbolic Matrix(197,-154,252,-197) (7/9,11/14) -> (7/9,11/14) Reflection Matrix(111,-88,140,-111) (11/14,4/5) -> (11/14,4/5) Reflection Matrix(469,-380,332,-269) (4/5,13/16) -> (24/17,17/12) Glide Reflection Matrix(1379,-1122,220,-179) (13/16,35/43) -> (25/4,19/3) Glide Reflection Matrix(191,-158,110,-91) (9/11,5/6) -> (19/11,7/4) Glide Reflection Matrix(731,-620,270,-229) (11/13,6/7) -> (46/17,19/7) Hyperbolic Matrix(269,-232,80,-69) (6/7,7/8) -> (10/3,27/8) Glide Reflection Matrix(903,-796,346,-305) (7/8,8/9) -> (60/23,47/18) Hyperbolic Matrix(395,-354,106,-95) (8/9,1/1) -> (26/7,41/11) Glide Reflection Matrix(259,-290,142,-159) (1/1,9/8) -> (31/17,11/6) Glide Reflection Matrix(703,-796,446,-505) (9/8,8/7) -> (52/33,41/26) Hyperbolic Matrix(183,-218,68,-81) (7/6,6/5) -> (8/3,27/10) Hyperbolic Matrix(697,-854,404,-495) (11/9,16/13) -> (50/29,19/11) Hyperbolic Matrix(111,-140,88,-111) (5/4,14/11) -> (5/4,14/11) Reflection Matrix(197,-252,154,-197) (14/11,9/7) -> (14/11,9/7) Reflection Matrix(981,-1270,370,-479) (22/17,35/27) -> (45/17,8/3) Hyperbolic Matrix(849,-1102,500,-649) (35/27,13/10) -> (39/23,17/10) Glide Reflection Matrix(325,-424,174,-227) (13/10,17/13) -> (13/7,15/8) Hyperbolic Matrix(129,-170,22,-29) (17/13,4/3) -> (17/3,6/1) Glide Reflection Matrix(317,-434,84,-115) (15/11,11/8) -> (15/4,19/5) Hyperbolic Matrix(463,-638,336,-463) (11/8,29/21) -> (11/8,29/21) Reflection Matrix(755,-1044,546,-755) (29/21,18/13) -> (29/21,18/13) Reflection Matrix(1163,-1636,686,-965) (7/5,31/22) -> (61/36,39/23) Hyperbolic Matrix(1867,-2634,684,-965) (31/22,24/17) -> (30/11,71/26) Hyperbolic Matrix(1055,-1496,744,-1055) (17/12,44/31) -> (17/12,44/31) Reflection Matrix(1673,-2376,1178,-1673) (44/31,27/19) -> (44/31,27/19) Reflection Matrix(287,-412,62,-89) (10/7,13/9) -> (23/5,14/3) Hyperbolic Matrix(61,-90,40,-59) (13/9,3/2) -> (3/2,17/11) Parabolic Matrix(1961,-3038,1138,-1763) (17/11,31/20) -> (31/18,81/47) Hyperbolic Matrix(3039,-4712,1960,-3039) (31/20,76/49) -> (31/20,76/49) Reflection Matrix(4409,-6840,2842,-4409) (76/49,45/29) -> (76/49,45/29) Reflection Matrix(351,-548,98,-153) (14/9,11/7) -> (25/7,18/5) Hyperbolic Matrix(2095,-3306,756,-1193) (41/26,30/19) -> (36/13,61/22) Hyperbolic Matrix(1103,-1748,696,-1103) (19/12,46/29) -> (19/12,46/29) Reflection Matrix(1565,-2484,986,-1565) (46/29,27/17) -> (46/29,27/17) Reflection Matrix(325,-526,76,-123) (21/13,13/8) -> (17/4,13/3) Hyperbolic Matrix(495,-806,304,-495) (13/8,31/19) -> (13/8,31/19) Reflection Matrix(683,-1116,418,-683) (31/19,18/11) -> (31/19,18/11) Reflection Matrix(259,-442,92,-157) (17/10,12/7) -> (14/5,17/6) Hyperbolic Matrix(127,-224,72,-127) (7/4,16/9) -> (7/4,16/9) Reflection Matrix(161,-288,90,-161) (16/9,9/5) -> (16/9,9/5) Reflection Matrix(1631,-2970,620,-1129) (20/11,31/17) -> (71/27,50/19) Hyperbolic Matrix(229,-422,70,-129) (11/6,13/7) -> (13/4,23/7) Glide Reflection Matrix(361,-688,138,-263) (15/8,2/1) -> (34/13,89/34) Hyperbolic Matrix(33,-68,16,-33) (2/1,17/8) -> (2/1,17/8) Reflection Matrix(239,-510,112,-239) (17/8,15/7) -> (17/8,15/7) Reflection Matrix(275,-626,76,-173) (9/4,16/7) -> (18/5,29/8) Hyperbolic Matrix(207,-494,44,-105) (19/8,12/5) -> (14/3,19/4) Hyperbolic Matrix(529,-1272,220,-529) (12/5,53/22) -> (12/5,53/22) Reflection Matrix(1803,-4346,748,-1803) (53/22,41/17) -> (53/22,41/17) Reflection Matrix(71,-180,28,-71) (5/2,18/7) -> (5/2,18/7) Reflection Matrix(181,-468,70,-181) (18/7,13/5) -> (18/7,13/5) Reflection Matrix(525,-1376,124,-325) (55/21,21/8) -> (21/5,17/4) Glide Reflection Matrix(853,-2246,248,-653) (50/19,29/11) -> (24/7,31/9) Glide Reflection Matrix(137,-362,14,-37) (29/11,37/14) -> (9/1,1/0) Glide Reflection Matrix(1459,-3942,540,-1459) (27/10,73/27) -> (27/10,73/27) Reflection Matrix(2483,-6716,918,-2483) (73/27,46/17) -> (73/27,46/17) Reflection Matrix(9515,-25986,3484,-9515) (71/26,183/67) -> (71/26,183/67) Reflection Matrix(15007,-40992,5494,-15007) (183/67,112/41) -> (183/67,112/41) Reflection Matrix(455,-1244,94,-257) (41/15,11/4) -> (29/6,5/1) Hyperbolic Matrix(823,-2276,226,-625) (11/4,36/13) -> (40/11,51/14) Hyperbolic Matrix(6467,-17934,2332,-6467) (61/22,147/53) -> (61/22,147/53) Reflection Matrix(9115,-25284,3286,-9115) (147/53,86/31) -> (147/53,86/31) Reflection Matrix(443,-1258,156,-443) (17/6,37/13) -> (17/6,37/13) Reflection Matrix(519,-1480,182,-519) (37/13,20/7) -> (37/13,20/7) Reflection Matrix(37,-114,12,-37) (3/1,19/6) -> (3/1,19/6) Reflection Matrix(191,-608,60,-191) (19/6,16/5) -> (19/6,16/5) Reflection Matrix(217,-734,34,-115) (27/8,17/5) -> (19/3,13/2) Hyperbolic Matrix(579,-1972,170,-579) (17/5,58/17) -> (17/5,58/17) Reflection Matrix(1393,-4756,408,-1393) (58/17,41/12) -> (58/17,41/12) Reflection Matrix(155,-546,44,-155) (7/2,39/11) -> (7/2,39/11) Reflection Matrix(703,-2496,198,-703) (39/11,32/9) -> (39/11,32/9) Reflection Matrix(1567,-5684,432,-1567) (29/8,98/27) -> (29/8,98/27) Reflection Matrix(3725,-13524,1026,-3725) (98/27,69/19) -> (98/27,69/19) Reflection Matrix(1101,-4000,248,-901) (69/19,40/11) -> (31/7,40/9) Glide Reflection Matrix(829,-3022,172,-627) (51/14,11/3) -> (53/11,29/6) Hyperbolic Matrix(909,-3392,190,-709) (41/11,56/15) -> (43/9,24/5) Glide Reflection Matrix(41,-160,10,-39) (19/5,4/1) -> (4/1,21/5) Parabolic Matrix(163,-738,36,-163) (9/2,41/9) -> (9/2,41/9) Reflection Matrix(575,-2624,126,-575) (41/9,32/7) -> (41/9,32/7) Reflection Matrix(495,-2356,104,-495) (19/4,62/13) -> (19/4,62/13) Reflection Matrix(1117,-5332,234,-1117) (62/13,43/9) -> (62/13,43/9) Reflection Matrix(41,-210,8,-41) (5/1,21/4) -> (5/1,21/4) Reflection Matrix(127,-672,24,-127) (21/4,16/3) -> (21/4,16/3) Reflection Matrix(85,-516,14,-85) (6/1,43/7) -> (6/1,43/7) Reflection Matrix(517,-3182,84,-517) (43/7,37/6) -> (43/7,37/6) Reflection Matrix(43,-308,6,-43) (7/1,22/3) -> (7/1,22/3) Reflection Matrix(89,-660,12,-89) (22/3,15/2) -> (22/3,15/2) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(-1,0,2,1) -> Matrix(1,0,46,-1) (-1/1,0/1) -> (0/1,1/23) Matrix(137,-14,362,-37) -> Matrix(43,-2,752,-35) Matrix(311,-38,90,-11) -> Matrix(43,-2,236,-11) Matrix(531,-70,220,-29) -> Matrix(1,0,-14,1) 0/1 Matrix(219,-32,130,-19) -> Matrix(41,-2,348,-17) Matrix(217,-34,734,-115) -> Matrix(39,-2,722,-37) 1/19 Matrix(129,-22,170,-29) -> Matrix(43,-2,580,-27) Matrix(423,-76,128,-23) -> Matrix(1,0,26,-1) *** -> (0/1,1/13) Matrix(337,-62,212,-39) -> Matrix(1,0,-12,1) 0/1 Matrix(207,-44,494,-105) -> Matrix(39,-2,644,-33) Matrix(287,-62,412,-89) -> Matrix(37,-2,500,-27) Matrix(367,-84,284,-65) -> Matrix(41,-2,390,-19) Matrix(325,-76,526,-123) -> Matrix(79,-4,1126,-57) Matrix(317,-84,434,-115) -> Matrix(75,-4,994,-53) Matrix(355,-96,196,-53) -> Matrix(37,-2,278,-15) Matrix(275,-76,626,-173) -> Matrix(35,-2,578,-33) 1/17 Matrix(351,-98,548,-153) -> Matrix(35,-2,508,-29) Matrix(311,-90,38,-11) -> Matrix(75,-4,206,-11) Matrix(853,-248,2246,-653) -> Matrix(147,-8,2554,-139) Matrix(581,-170,270,-79) -> Matrix(37,-2,278,-15) Matrix(5791,-1708,3360,-991) -> Matrix(75,-4,506,-27) Matrix(5753,-1698,1196,-353) -> Matrix(37,-2,92,-5) Matrix(5249,-1550,850,-251) -> Matrix(519,-28,1798,-97) Matrix(269,-80,232,-69) -> Matrix(37,-2,388,-21) Matrix(423,-128,76,-23) -> Matrix(35,-2,122,-7) Matrix(229,-70,422,-129) -> Matrix(1,0,34,-1) *** -> (0/1,1/17) Matrix(381,-118,268,-83) -> Matrix(73,-4,712,-39) Matrix(259,-92,442,-157) -> Matrix(35,-2,508,-29) Matrix(479,-172,220,-79) -> Matrix(35,-2,262,-15) Matrix(2095,-756,3306,-1193) -> Matrix(35,-2,368,-21) Matrix(1101,-398,2498,-903) -> Matrix(277,-16,4484,-259) Matrix(1537,-562,3662,-1339) -> Matrix(1,0,0,1) Matrix(1867,-684,2634,-965) -> Matrix(37,-2,500,-27) Matrix(1061,-390,438,-161) -> Matrix(35,-2,262,-15) Matrix(183,-68,218,-81) -> Matrix(35,-2,438,-25) Matrix(653,-246,146,-55) -> Matrix(69,-4,328,-19) Matrix(3115,-1184,834,-317) -> Matrix(139,-8,782,-45) Matrix(1881,-718,2570,-981) -> Matrix(137,-8,1798,-105) Matrix(2387,-912,3112,-1189) -> Matrix(67,-4,888,-53) Matrix(3615,-1384,2134,-817) -> Matrix(69,-4,604,-35) Matrix(1193,-458,758,-291) -> Matrix(103,-6,910,-53) Matrix(181,-70,468,-181) -> Matrix(171,-10,2924,-171) (5/13,7/18) -> (5/86,1/17) Matrix(71,-28,180,-71) -> Matrix(67,-4,1122,-67) (7/18,2/5) -> (1/17,2/33) Matrix(143,-58,106,-43) -> Matrix(1,0,26,-1) *** -> (0/1,1/13) Matrix(1061,-438,390,-161) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(531,-220,70,-29) -> Matrix(103,-6,292,-17) Matrix(4297,-1804,9754,-4095) -> Matrix(63,-4,1024,-65) 1/16 Matrix(4999,-2100,1902,-799) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(5105,-2146,12144,-5105) -> Matrix(239,-14,4080,-239) (29/69,37/88) -> (7/120,1/17) Matrix(1407,-592,3344,-1407) -> Matrix(135,-8,2278,-135) (37/88,8/19) -> (1/17,4/67) Matrix(245,-104,106,-45) -> Matrix(33,-2,214,-13) Matrix(245,-106,104,-45) -> Matrix(33,-2,280,-17) Matrix(3229,-1422,520,-229) -> Matrix(487,-30,1672,-103) Matrix(3121,-1378,1180,-521) -> Matrix(193,-12,1174,-73) Matrix(1977,-874,4472,-1977) -> Matrix(545,-34,8736,-545) (19/43,23/52) -> (17/273,1/16) Matrix(415,-184,936,-415) -> Matrix(63,-4,992,-63) (23/52,4/9) -> (1/16,2/31) Matrix(277,-124,172,-77) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(479,-220,172,-79) -> Matrix(65,-4,406,-25) Matrix(581,-270,170,-79) -> Matrix(97,-6,566,-35) Matrix(325,-174,424,-227) -> Matrix(59,-4,782,-53) Matrix(355,-196,96,-53) -> Matrix(31,-2,140,-9) Matrix(161,-90,288,-161) -> Matrix(151,-10,2280,-151) (5/9,9/16) -> (5/76,1/15) Matrix(127,-72,224,-127) -> Matrix(119,-8,1770,-119) (9/16,4/7) -> (1/15,4/59) Matrix(191,-110,158,-91) -> Matrix(59,-4,634,-43) Matrix(697,-404,854,-495) -> Matrix(115,-8,1452,-101) Matrix(949,-552,600,-349) -> Matrix(57,-4,470,-33) Matrix(631,-370,220,-129) -> Matrix(1,0,-8,1) 0/1 Matrix(1385,-816,314,-185) -> Matrix(59,-4,280,-19) Matrix(3615,-2134,1384,-817) -> Matrix(31,-2,202,-13) Matrix(219,-130,32,-19) -> Matrix(31,-2,108,-7) Matrix(155,-94,94,-57) -> Matrix(29,-2,276,-19) Matrix(1267,-782,1732,-1069) -> Matrix(143,-10,1902,-133) Matrix(277,-172,124,-77) -> Matrix(29,-2,246,-17) Matrix(337,-212,62,-39) -> Matrix(85,-6,326,-23) Matrix(949,-600,552,-349) -> Matrix(27,-2,202,-15) Matrix(7131,-4520,2570,-1629) -> Matrix(15,-2,98,-13) 1/7 Matrix(1193,-758,458,-291) -> Matrix(31,-2,202,-13) Matrix(977,-624,274,-175) -> Matrix(59,-4,310,-21) Matrix(61,-40,90,-59) -> Matrix(57,-4,784,-55) 1/14 Matrix(4885,-3364,1866,-1285) -> Matrix(27,-2,148,-11) Matrix(4589,-3162,6660,-4589) -> Matrix(83,-6,1148,-83) (31/45,51/74) -> (1/14,3/41) Matrix(2959,-2040,4292,-2959) -> Matrix(163,-12,2214,-163) (51/74,20/29) -> (3/41,2/27) Matrix(1301,-898,1598,-1103) -> Matrix(53,-4,676,-51) 1/13 Matrix(945,-656,206,-143) -> Matrix(163,-12,720,-53) Matrix(381,-268,118,-83) -> Matrix(29,-2,160,-11) Matrix(469,-332,380,-269) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(7431,-5270,2720,-1929) -> Matrix(163,-12,1046,-77) Matrix(2749,-1952,1052,-747) -> Matrix(53,-4,358,-27) Matrix(203,-146,146,-105) -> Matrix(27,-2,284,-21) Matrix(143,-106,58,-43) -> Matrix(27,-2,202,-15) Matrix(1187,-912,764,-587) -> Matrix(1,0,22,-1) *** -> (0/1,1/11) Matrix(367,-284,84,-65) -> Matrix(79,-6,382,-29) Matrix(197,-154,252,-197) -> Matrix(183,-14,2392,-183) (7/9,11/14) -> (7/92,1/13) Matrix(111,-88,140,-111) -> Matrix(103,-8,1326,-103) (11/14,4/5) -> (1/13,4/51) Matrix(469,-380,332,-269) -> Matrix(25,-2,212,-17) Matrix(1379,-1122,220,-179) -> Matrix(1,0,16,-1) *** -> (0/1,1/8) Matrix(191,-158,110,-91) -> Matrix(25,-2,212,-17) Matrix(731,-620,270,-229) -> Matrix(25,-2,188,-15) Matrix(269,-232,80,-69) -> Matrix(1,0,18,-1) *** -> (0/1,1/9) Matrix(903,-796,346,-305) -> Matrix(1,0,-6,1) 0/1 Matrix(395,-354,106,-95) -> Matrix(25,-2,162,-13) Matrix(259,-290,142,-159) -> Matrix(21,-2,136,-13) Matrix(703,-796,446,-505) -> Matrix(83,-8,716,-69) Matrix(183,-218,68,-81) -> Matrix(1,0,-4,1) 0/1 Matrix(697,-854,404,-495) -> Matrix(21,-2,116,-11) Matrix(111,-140,88,-111) -> Matrix(61,-6,620,-61) (5/4,14/11) -> (3/31,1/10) Matrix(197,-252,154,-197) -> Matrix(99,-10,980,-99) (14/11,9/7) -> (1/10,5/49) Matrix(981,-1270,370,-479) -> Matrix(19,-2,124,-13) Matrix(849,-1102,500,-649) -> Matrix(19,-2,142,-15) Matrix(325,-424,174,-227) -> Matrix(19,-2,162,-17) 1/9 Matrix(129,-170,22,-29) -> Matrix(39,-4,146,-15) Matrix(317,-434,84,-115) -> Matrix(17,-2,94,-11) Matrix(463,-638,336,-463) -> Matrix(1,0,16,-1) (11/8,29/21) -> (0/1,1/8) Matrix(755,-1044,546,-755) -> Matrix(1,0,24,-1) (29/21,18/13) -> (0/1,1/12) Matrix(1163,-1636,686,-965) -> Matrix(39,-4,322,-33) Matrix(1867,-2634,684,-965) -> Matrix(37,-4,250,-27) Matrix(1055,-1496,744,-1055) -> Matrix(21,-2,220,-21) (17/12,44/31) -> (1/11,1/10) Matrix(1673,-2376,1178,-1673) -> Matrix(99,-10,980,-99) (44/31,27/19) -> (1/10,5/49) Matrix(287,-412,62,-89) -> Matrix(39,-4,166,-17) Matrix(61,-90,40,-59) -> Matrix(19,-2,162,-17) 1/9 Matrix(1961,-3038,1138,-1763) -> Matrix(37,-4,250,-27) Matrix(3039,-4712,1960,-3039) -> Matrix(163,-18,1476,-163) (31/20,76/49) -> (9/82,1/9) Matrix(4409,-6840,2842,-4409) -> Matrix(233,-26,2088,-233) (76/49,45/29) -> (1/9,13/116) Matrix(351,-548,98,-153) -> Matrix(35,-4,184,-21) Matrix(2095,-3306,756,-1193) -> Matrix(67,-8,444,-53) Matrix(1103,-1748,696,-1103) -> Matrix(49,-6,400,-49) (19/12,46/29) -> (3/25,1/8) Matrix(1565,-2484,986,-1565) -> Matrix(15,-2,112,-15) (46/29,27/17) -> (1/8,1/7) Matrix(325,-526,76,-123) -> Matrix(15,-2,68,-9) Matrix(495,-806,304,-495) -> Matrix(1,0,12,-1) (13/8,31/19) -> (0/1,1/6) Matrix(683,-1116,418,-683) -> Matrix(1,0,24,-1) (31/19,18/11) -> (0/1,1/12) Matrix(259,-442,92,-157) -> Matrix(1,0,-2,1) 0/1 Matrix(127,-224,72,-127) -> Matrix(17,-2,144,-17) (7/4,16/9) -> (1/9,1/8) Matrix(161,-288,90,-161) -> Matrix(15,-2,112,-15) (16/9,9/5) -> (1/8,1/7) Matrix(1631,-2970,620,-1129) -> Matrix(29,-4,196,-27) 1/7 Matrix(229,-422,70,-129) -> Matrix(15,-2,82,-11) Matrix(361,-688,138,-263) -> Matrix(15,-2,98,-13) 1/7 Matrix(33,-68,16,-33) -> Matrix(1,0,16,-1) (2/1,17/8) -> (0/1,1/8) Matrix(239,-510,112,-239) -> Matrix(15,-2,112,-15) (17/8,15/7) -> (1/8,1/7) Matrix(275,-626,76,-173) -> Matrix(1,0,-2,1) 0/1 Matrix(207,-494,44,-105) -> Matrix(31,-4,132,-17) Matrix(529,-1272,220,-529) -> Matrix(29,-4,210,-29) (12/5,53/22) -> (2/15,1/7) Matrix(1803,-4346,748,-1803) -> Matrix(13,-2,84,-13) (53/22,41/17) -> (1/7,1/6) Matrix(71,-180,28,-71) -> Matrix(15,-2,112,-15) (5/2,18/7) -> (1/8,1/7) Matrix(181,-468,70,-181) -> Matrix(41,-6,280,-41) (18/7,13/5) -> (1/7,3/20) Matrix(525,-1376,124,-325) -> Matrix(27,-4,128,-19) Matrix(853,-2246,248,-653) -> Matrix(53,-8,298,-45) Matrix(137,-362,14,-37) -> Matrix(25,-4,56,-9) Matrix(1459,-3942,540,-1459) -> Matrix(1,0,12,-1) (27/10,73/27) -> (0/1,1/6) Matrix(2483,-6716,918,-2483) -> Matrix(1,0,16,-1) (73/27,46/17) -> (0/1,1/8) Matrix(9515,-25986,3484,-9515) -> Matrix(183,-28,1196,-183) (71/26,183/67) -> (7/46,2/13) Matrix(15007,-40992,5494,-15007) -> Matrix(233,-36,1508,-233) (183/67,112/41) -> (2/13,9/58) Matrix(455,-1244,94,-257) -> Matrix(1,0,-2,1) 0/1 Matrix(823,-2276,226,-625) -> Matrix(27,-4,142,-21) Matrix(6467,-17934,2332,-6467) -> Matrix(391,-60,2548,-391) (61/22,147/53) -> (15/98,2/13) Matrix(9115,-25284,3286,-9115) -> Matrix(597,-92,3874,-597) (147/53,86/31) -> (2/13,23/149) Matrix(443,-1258,156,-443) -> Matrix(1,0,12,-1) (17/6,37/13) -> (0/1,1/6) Matrix(519,-1480,182,-519) -> Matrix(1,0,14,-1) (37/13,20/7) -> (0/1,1/7) Matrix(37,-114,12,-37) -> Matrix(13,-2,84,-13) (3/1,19/6) -> (1/7,1/6) Matrix(191,-608,60,-191) -> Matrix(71,-12,420,-71) (19/6,16/5) -> (1/6,6/35) Matrix(217,-734,34,-115) -> Matrix(9,-2,32,-7) 1/4 Matrix(579,-1972,170,-579) -> Matrix(13,-2,84,-13) (17/5,58/17) -> (1/7,1/6) Matrix(1393,-4756,408,-1393) -> Matrix(83,-14,492,-83) (58/17,41/12) -> (1/6,7/41) Matrix(155,-546,44,-155) -> Matrix(23,-4,132,-23) (7/2,39/11) -> (1/6,2/11) Matrix(703,-2496,198,-703) -> Matrix(109,-20,594,-109) (39/11,32/9) -> (2/11,5/27) Matrix(1567,-5684,432,-1567) -> Matrix(11,-2,60,-11) (29/8,98/27) -> (1/6,1/5) Matrix(3725,-13524,1026,-3725) -> Matrix(35,-6,204,-35) (98/27,69/19) -> (1/6,3/17) Matrix(1101,-4000,248,-901) -> Matrix(45,-8,208,-37) Matrix(829,-3022,172,-627) -> Matrix(11,-2,50,-9) 1/5 Matrix(909,-3392,190,-709) -> Matrix(23,-4,86,-15) Matrix(41,-160,10,-39) -> Matrix(21,-4,100,-19) 1/5 Matrix(163,-738,36,-163) -> Matrix(55,-12,252,-55) (9/2,41/9) -> (3/14,2/9) Matrix(575,-2624,126,-575) -> Matrix(197,-44,882,-197) (41/9,32/7) -> (2/9,11/49) Matrix(495,-2356,104,-495) -> Matrix(41,-10,168,-41) (19/4,62/13) -> (5/21,1/4) Matrix(1117,-5332,234,-1117) -> Matrix(55,-14,216,-55) (62/13,43/9) -> (1/4,7/27) Matrix(41,-210,8,-41) -> Matrix(25,-6,104,-25) (5/1,21/4) -> (3/13,1/4) Matrix(127,-672,24,-127) -> Matrix(79,-20,312,-79) (21/4,16/3) -> (1/4,10/39) Matrix(85,-516,14,-85) -> Matrix(43,-12,154,-43) (6/1,43/7) -> (3/11,2/7) Matrix(517,-3182,84,-517) -> Matrix(265,-76,924,-265) (43/7,37/6) -> (2/7,19/66) Matrix(43,-308,6,-43) -> Matrix(31,-10,96,-31) (7/1,22/3) -> (5/16,1/3) Matrix(89,-660,12,-89) -> Matrix(65,-22,192,-65) (22/3,15/2) -> (1/3,11/32) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.