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): 1536 Minimal number of generators: 257 Number of equivalence classes of cusps: 72 Genus: 93 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -8/1 -20/3 -6/1 -14/3 -4/1 -8/3 -96/43 -2/1 -12/7 -8/5 -48/31 -96/67 -4/3 -32/27 -8/7 0/1 1/1 8/7 16/13 32/25 4/3 32/23 16/11 3/2 8/5 12/7 16/9 2/1 16/7 32/13 5/2 8/3 256/95 48/17 3/1 16/5 33/10 64/19 7/2 32/9 64/17 4/1 17/4 64/15 13/3 128/29 9/2 32/7 14/3 19/4 5/1 21/4 16/3 11/2 17/3 23/4 64/11 35/6 6/1 25/4 32/5 13/2 20/3 27/4 7/1 15/2 8/1 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -11/1 -1/2 0/1 -10/1 0/1 -9/1 0/1 1/2 -8/1 1/0 -15/2 -1/1 0/1 -22/3 -2/3 -7/1 0/1 1/0 -20/3 -1/1 -13/2 -1/4 0/1 -32/5 0/1 -19/3 0/1 1/6 -44/7 1/4 -25/4 0/1 1/3 -6/1 0/1 -11/2 1/1 1/0 -16/3 1/0 -21/4 -2/1 1/0 -26/5 0/1 -5/1 -1/1 1/0 -19/4 -1/1 -1/2 -14/3 0/1 -37/8 -1/5 0/1 -23/5 -1/10 0/1 -32/7 0/1 -9/2 0/1 1/4 -31/7 2/5 1/2 -22/5 2/3 -57/13 0/1 1/0 -35/8 1/2 1/1 -13/3 0/1 1/2 -17/4 1/1 4/3 -4/1 1/0 -19/5 -2/1 1/0 -15/4 -1/1 -2/3 -56/15 -1/2 -41/11 -1/2 0/1 -67/18 -1/1 0/1 -26/7 0/1 -89/24 0/1 1/1 -63/17 4/1 1/0 -37/10 -2/1 -1/1 -11/3 -2/3 -1/2 -29/8 -1/2 -1/3 -18/5 0/1 -43/12 -1/4 0/1 -25/7 -1/8 0/1 -32/9 0/1 -7/2 0/1 1/2 -24/7 1/1 -41/12 0/1 1/1 -17/5 1/1 1/0 -44/13 1/1 -71/21 0/1 1/2 -27/8 2/3 1/1 -10/3 2/1 -13/4 2/1 1/0 -16/5 1/0 -19/6 -3/1 1/0 -22/7 -2/1 -3/1 -1/1 1/0 -17/6 -1/1 0/1 -48/17 -1/1 -31/11 -2/3 -1/2 -14/5 0/1 -11/4 1/1 1/0 -19/7 -1/2 0/1 -84/31 1/0 -65/24 0/1 1/0 -46/17 0/1 -27/10 0/1 1/1 -8/3 1/0 -37/14 -2/1 -1/1 -66/25 2/1 -95/36 -11/1 1/0 -29/11 -3/1 1/0 -50/19 -2/1 -21/8 -2/1 1/0 -55/21 -2/1 1/0 -34/13 -4/3 -47/18 -1/1 -4/5 -13/5 0/1 1/0 -31/12 -3/1 1/0 -18/7 -2/1 -5/2 -2/1 -1/1 -32/13 -1/1 -27/11 -1/1 -11/12 -49/20 -1/1 -6/7 -22/9 -4/5 -61/25 -1/1 -3/4 -39/16 -1/1 -2/3 -56/23 -1/1 -17/7 -1/1 -3/4 -63/26 -3/4 -2/3 -46/19 -2/3 -29/12 -1/1 -1/2 -12/5 -1/1 -55/23 -3/4 -2/3 -43/18 -3/4 -2/3 -31/13 -1/2 0/1 -50/21 -2/3 -19/8 -3/5 -1/2 -26/11 0/1 -59/25 -1/1 -1/2 -33/14 -1/2 -3/7 -7/3 -1/2 0/1 -37/16 -1/1 -2/3 -30/13 -2/5 -23/10 -1/3 0/1 -16/7 0/1 -9/4 0/1 1/0 -38/17 0/1 -67/30 0/1 1/1 -96/43 1/1 -29/13 1/1 1/0 -49/22 0/1 1/1 -69/31 1/1 5/4 -20/9 1/0 -11/5 -4/1 1/0 -2/1 0/1 -15/8 -1/1 -6/7 -13/7 -3/4 -2/3 -11/6 -3/5 -1/2 -42/23 -6/13 -31/17 -1/2 -2/5 -20/11 -1/3 -29/16 -1/2 -1/3 -9/5 -1/2 0/1 -34/19 -2/7 -59/33 -3/14 -1/5 -84/47 -1/6 -25/14 -1/5 0/1 -16/9 0/1 -7/4 0/1 1/0 -19/11 -2/1 1/0 -31/18 1/1 1/0 -43/25 -6/1 1/0 -12/7 1/0 -41/24 -2/1 -1/1 -29/17 -1/1 1/0 -17/10 -2/1 -1/1 -5/3 -1/1 -1/2 -33/20 -5/9 -1/2 -28/17 -1/2 -23/14 -1/3 0/1 -18/11 0/1 -67/41 -1/1 1/0 -49/30 -1/1 0/1 -80/49 -1/1 -31/19 -1/2 0/1 -44/27 -1/3 -13/8 0/1 1/0 -34/21 -2/3 -21/13 -1/2 -2/5 -29/18 -1/1 -1/2 -8/5 0/1 -35/22 1/1 1/0 -97/61 10/1 1/0 -256/161 1/0 -159/100 -17/1 1/0 -62/39 -4/1 -27/17 -1/1 -1/2 -19/12 -1/1 1/0 -30/19 -2/3 -41/26 -1/1 0/1 -52/33 -1/2 -63/40 -1/2 0/1 -11/7 0/1 1/0 -36/23 -1/2 -97/62 -7/13 -1/2 -61/39 -1/2 -1/3 -25/16 -1/3 0/1 -14/9 0/1 -31/20 -1/1 1/0 -48/31 1/0 -65/42 -2/1 1/0 -17/11 -1/1 1/0 -20/13 -1/1 -23/15 0/1 1/0 -3/2 -1/1 0/1 -16/11 -1/1 -29/20 -1/1 -1/2 -13/9 -1/2 0/1 -36/25 -1/2 -23/16 -1/1 0/1 -56/39 -1/1 -89/62 -1/1 -2/3 -33/23 -1/2 -2/5 -43/30 -1/4 0/1 -96/67 0/1 -53/37 0/1 1/2 -10/7 0/1 -37/26 -4/3 -1/1 -64/45 -1/1 -27/19 -1/1 -3/4 -17/12 -1/1 0/1 -41/29 -3/4 -2/3 -24/17 -1/2 -31/22 -3/5 -1/2 -7/5 -1/2 0/1 -32/23 0/1 -25/18 0/1 1/3 -18/13 0/1 -11/8 -1/1 1/0 -26/19 -2/1 -67/49 -1/1 1/0 -41/30 -2/1 -1/1 -15/11 -3/2 -1/1 -64/47 -1/1 -49/36 -1/1 -10/11 -34/25 -4/5 -19/14 -1/1 -1/2 -42/31 0/1 -23/17 -1/4 0/1 -27/20 0/1 1/1 -31/23 6/1 1/0 -4/3 -1/1 -33/25 -8/15 -1/2 -29/22 -1/2 -1/3 -25/19 -1/4 0/1 -21/16 0/1 1/0 -38/29 -2/1 -17/13 -3/2 -1/1 -64/49 -1/1 -47/36 -1/1 -12/13 -30/23 -4/5 -13/10 -2/3 -1/2 -22/17 -2/3 -75/58 -11/21 -1/2 -128/99 -1/2 -53/41 -1/2 -6/13 -31/24 -1/1 -1/2 -40/31 -1/2 -9/7 -1/2 0/1 -32/25 0/1 -23/18 0/1 1/1 -14/11 0/1 -5/4 -1/1 0/1 -16/13 -1/1 -27/22 -1/1 -6/7 -11/9 -3/4 -2/3 -28/23 -1/2 -17/14 -1/1 -4/5 -23/19 -2/3 -1/2 -29/24 -1/1 -1/2 -64/53 -1/1 -35/29 -1/1 -3/4 -6/5 -2/3 -19/16 -5/9 -1/2 -32/27 -1/2 -13/11 -1/2 -2/5 -7/6 -1/2 0/1 -8/7 -1/1 -17/15 -1/1 -1/2 -26/23 -2/3 -9/8 -3/4 -2/3 -1/1 -1/2 0/1 0/1 0/1 1/1 0/1 1/2 9/8 2/3 3/4 17/15 1/2 1/1 8/7 1/1 7/6 0/1 1/2 6/5 2/3 23/19 1/2 2/3 17/14 4/5 1/1 11/9 2/3 3/4 27/22 6/7 1/1 16/13 1/1 5/4 0/1 1/1 14/11 0/1 23/18 -1/1 0/1 32/25 0/1 9/7 0/1 1/2 13/10 1/2 2/3 17/13 1/1 3/2 38/29 2/1 21/16 0/1 1/0 4/3 1/1 23/17 0/1 1/4 42/31 0/1 19/14 1/2 1/1 15/11 1/1 3/2 11/8 1/1 1/0 18/13 0/1 25/18 -1/3 0/1 32/23 0/1 7/5 0/1 1/2 31/22 1/2 3/5 24/17 1/2 41/29 2/3 3/4 17/12 0/1 1/1 10/7 0/1 33/23 2/5 1/2 23/16 0/1 1/1 13/9 0/1 1/2 29/20 1/2 1/1 16/11 1/1 3/2 0/1 1/1 23/15 0/1 1/0 20/13 1/1 17/11 1/1 1/0 14/9 0/1 25/16 0/1 1/3 61/39 1/3 1/2 36/23 1/2 11/7 0/1 1/0 41/26 0/1 1/1 30/19 2/3 49/31 1/1 5/4 19/12 1/1 1/0 27/17 1/2 1/1 8/5 0/1 37/23 1/4 1/3 66/41 4/9 95/59 1/2 10/19 29/18 1/2 1/1 21/13 2/5 1/2 13/8 0/1 1/0 44/27 1/3 31/19 0/1 1/2 80/49 1/1 49/30 0/1 1/1 18/11 0/1 23/14 0/1 1/3 28/17 1/2 61/37 3/7 1/2 33/20 1/2 5/9 5/3 1/2 1/1 22/13 2/1 17/10 1/1 2/1 29/17 1/1 1/0 41/24 1/1 2/1 53/31 3/2 2/1 65/38 2/1 1/0 12/7 1/0 31/18 -1/1 1/0 19/11 2/1 1/0 26/15 -2/1 7/4 0/1 1/0 16/9 0/1 25/14 0/1 1/5 84/47 1/6 59/33 1/5 3/14 34/19 2/7 9/5 0/1 1/2 20/11 1/3 31/17 2/5 1/2 11/6 1/2 3/5 2/1 0/1 15/7 1/1 7/6 13/6 3/2 2/1 11/5 4/1 1/0 31/14 -3/1 1/0 20/9 1/0 49/22 -1/1 0/1 29/13 -1/1 1/0 38/17 0/1 47/21 -1/1 -1/2 9/4 0/1 1/0 16/7 0/1 23/10 0/1 1/3 30/13 2/5 37/16 2/3 1/1 7/3 0/1 1/2 33/14 3/7 1/2 59/25 1/2 1/1 26/11 0/1 45/19 4/9 1/2 64/27 1/2 19/8 1/2 3/5 31/13 0/1 1/2 74/31 2/3 117/49 9/14 2/3 160/67 2/3 43/18 2/3 3/4 12/5 1/1 41/17 1/2 2/3 70/29 2/3 29/12 1/2 1/1 17/7 3/4 1/1 56/23 1/1 39/16 2/3 1/1 61/25 3/4 1/1 22/9 4/5 49/20 6/7 1/1 76/31 7/8 27/11 11/12 1/1 32/13 1/1 5/2 1/1 2/1 18/7 2/1 49/19 3/1 1/0 80/31 1/0 31/12 3/1 1/0 13/5 0/1 1/0 34/13 4/3 55/21 2/1 1/0 76/29 1/1 21/8 2/1 1/0 50/19 2/1 79/30 2/1 3/1 29/11 3/1 1/0 8/3 1/0 35/13 1/1 1/0 97/36 9/1 1/0 256/95 1/0 159/59 -18/1 1/0 62/23 -4/1 27/10 -1/1 0/1 46/17 0/1 65/24 0/1 1/0 84/31 1/0 19/7 0/1 1/2 30/11 2/1 11/4 -1/1 1/0 14/5 0/1 31/11 1/2 2/3 48/17 1/1 17/6 0/1 1/1 3/1 1/1 1/0 22/7 2/1 19/6 3/1 1/0 16/5 1/0 13/4 -2/1 1/0 23/7 0/1 1/0 56/17 1/0 33/10 -1/1 1/0 43/13 6/1 1/0 10/3 -2/1 37/11 -5/4 -1/1 64/19 -1/1 27/8 -1/1 -2/3 44/13 -1/1 17/5 -1/1 1/0 41/12 -1/1 0/1 65/19 2/1 1/0 89/26 -2/1 -1/1 24/7 -1/1 7/2 -1/2 0/1 32/9 0/1 25/7 0/1 1/8 68/19 1/5 43/12 0/1 1/4 18/5 0/1 65/18 0/1 1/4 112/31 1/4 47/13 1/4 1/3 29/8 1/3 1/2 11/3 1/2 2/3 37/10 1/1 2/1 63/17 -4/1 1/0 26/7 0/1 93/25 1/2 1/1 160/43 1/1 67/18 0/1 1/1 41/11 0/1 1/2 15/4 2/3 1/1 64/17 1/1 49/13 1/1 11/10 34/9 4/3 19/5 2/1 1/0 23/6 1/1 2/1 4/1 1/0 21/5 -2/1 -3/2 17/4 -4/3 -1/1 64/15 -1/1 47/11 -1/1 -11/12 30/7 -4/5 13/3 -1/2 0/1 35/8 -1/1 -1/2 92/21 -1/3 57/13 0/1 1/0 22/5 -2/3 75/17 -10/19 -1/2 128/29 -1/2 53/12 -1/2 -7/15 31/7 -1/2 -2/5 9/2 -1/4 0/1 32/7 0/1 23/5 0/1 1/10 60/13 1/7 157/34 3/19 1/6 97/21 1/6 6/35 37/8 0/1 1/5 14/3 0/1 33/7 2/5 1/2 19/4 1/2 1/1 5/1 1/1 1/0 26/5 0/1 21/4 2/1 1/0 16/3 1/0 11/2 -1/1 1/0 17/3 -1/1 -1/2 23/4 -1/1 0/1 29/5 -1/1 1/0 64/11 -1/1 35/6 -1/1 -1/2 6/1 0/1 31/5 -1/2 -4/9 25/4 -1/3 0/1 44/7 -1/4 19/3 -1/6 0/1 32/5 0/1 13/2 0/1 1/4 20/3 1/1 27/4 1/1 2/1 7/1 0/1 1/0 22/3 2/3 15/2 0/1 1/1 23/3 2/1 1/0 8/1 1/0 9/1 -1/2 0/1 10/1 0/1 11/1 0/1 1/2 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(65,768,38,449) (-11/1,1/0) -> (53/31,65/38) Hyperbolic Matrix(191,1984,80,831) (-11/1,-10/1) -> (74/31,117/49) Hyperbolic Matrix(65,608,48,449) (-10/1,-9/1) -> (23/17,42/31) Hyperbolic Matrix(65,544,46,385) (-9/1,-8/1) -> (24/17,41/29) Hyperbolic Matrix(127,960,-34,-257) (-8/1,-15/2) -> (-15/4,-56/15) Hyperbolic Matrix(191,1408,78,575) (-15/2,-22/3) -> (22/9,49/20) Hyperbolic Matrix(193,1408,44,321) (-22/3,-7/1) -> (57/13,22/5) Hyperbolic Matrix(257,1728,-76,-511) (-7/1,-20/3) -> (-44/13,-71/21) Hyperbolic Matrix(127,832,78,511) (-20/3,-13/2) -> (13/8,44/27) Hyperbolic Matrix(129,832,20,129) (-13/2,-32/5) -> (32/5,13/2) Hyperbolic Matrix(191,1216,30,191) (-32/5,-19/3) -> (19/3,32/5) Hyperbolic Matrix(385,2432,142,897) (-19/3,-44/7) -> (84/31,19/7) Hyperbolic Matrix(511,3200,286,1791) (-44/7,-25/4) -> (25/14,84/47) Hyperbolic Matrix(193,1184,-52,-319) (-25/4,-6/1) -> (-26/7,-89/24) Hyperbolic Matrix(63,352,-46,-257) (-6/1,-11/2) -> (-11/8,-26/19) Hyperbolic Matrix(65,352,12,65) (-11/2,-16/3) -> (16/3,11/2) Hyperbolic Matrix(127,672,24,127) (-16/3,-21/4) -> (21/4,16/3) Hyperbolic Matrix(257,1344,196,1025) (-21/4,-26/5) -> (38/29,21/16) Hyperbolic Matrix(321,1664,136,705) (-26/5,-5/1) -> (59/25,26/11) Hyperbolic Matrix(127,608,80,383) (-5/1,-19/4) -> (19/12,27/17) Hyperbolic Matrix(257,1216,-108,-511) (-19/4,-14/3) -> (-50/21,-19/8) Hyperbolic Matrix(449,2080,166,769) (-14/3,-37/8) -> (27/10,46/17) Hyperbolic Matrix(319,1472,-236,-1089) (-37/8,-23/5) -> (-23/17,-27/20) Hyperbolic Matrix(321,1472,70,321) (-23/5,-32/7) -> (32/7,23/5) Hyperbolic Matrix(127,576,28,127) (-32/7,-9/2) -> (9/2,32/7) Hyperbolic Matrix(65,288,58,257) (-9/2,-31/7) -> (1/1,9/8) Hyperbolic Matrix(449,1984,-246,-1087) (-31/7,-22/5) -> (-42/23,-31/17) Hyperbolic Matrix(321,1408,44,193) (-22/5,-57/13) -> (7/1,22/3) Hyperbolic Matrix(577,2528,-438,-1919) (-57/13,-35/8) -> (-29/22,-25/19) Hyperbolic Matrix(191,832,132,575) (-35/8,-13/3) -> (13/9,29/20) Hyperbolic Matrix(193,832,-74,-319) (-13/3,-17/4) -> (-47/18,-13/5) Hyperbolic Matrix(129,544,-106,-447) (-17/4,-4/1) -> (-28/23,-17/14) Hyperbolic Matrix(193,736,-134,-511) (-4/1,-19/5) -> (-13/9,-36/25) Hyperbolic Matrix(127,480,-68,-257) (-19/5,-15/4) -> (-15/8,-13/7) Hyperbolic Matrix(961,3584,292,1089) (-56/15,-41/11) -> (23/7,56/17) Hyperbolic Matrix(447,1664,292,1087) (-41/11,-67/18) -> (3/2,23/15) Hyperbolic Matrix(1153,4288,-516,-1919) (-67/18,-26/7) -> (-38/17,-67/30) Hyperbolic Matrix(3073,11392,898,3329) (-89/24,-63/17) -> (65/19,89/26) Hyperbolic Matrix(769,2848,-570,-2111) (-63/17,-37/10) -> (-27/20,-31/23) Hyperbolic Matrix(191,704,156,575) (-37/10,-11/3) -> (11/9,27/22) Hyperbolic Matrix(255,928,158,575) (-11/3,-29/8) -> (29/18,21/13) Hyperbolic Matrix(513,1856,-212,-767) (-29/8,-18/5) -> (-46/19,-29/12) Hyperbolic Matrix(705,2528,268,961) (-18/5,-43/12) -> (21/8,50/19) Hyperbolic Matrix(447,1600,-340,-1217) (-43/12,-25/7) -> (-25/19,-21/16) Hyperbolic Matrix(449,1600,126,449) (-25/7,-32/9) -> (32/9,25/7) Hyperbolic Matrix(127,448,36,127) (-32/9,-7/2) -> (7/2,32/9) Hyperbolic Matrix(65,224,56,193) (-7/2,-24/7) -> (8/7,7/6) Hyperbolic Matrix(833,2848,-580,-1983) (-24/7,-41/12) -> (-23/16,-56/39) Hyperbolic Matrix(319,1088,56,191) (-41/12,-17/5) -> (17/3,23/4) Hyperbolic Matrix(321,1088,208,705) (-17/5,-44/13) -> (20/13,17/11) Hyperbolic Matrix(833,2816,360,1217) (-71/21,-27/8) -> (37/16,7/3) Hyperbolic Matrix(191,640,-134,-449) (-27/8,-10/3) -> (-10/7,-37/26) Hyperbolic Matrix(127,416,-98,-321) (-10/3,-13/4) -> (-13/10,-22/17) Hyperbolic Matrix(129,416,40,129) (-13/4,-16/5) -> (16/5,13/4) Hyperbolic Matrix(191,608,60,191) (-16/5,-19/6) -> (19/6,16/5) Hyperbolic Matrix(385,1216,284,897) (-19/6,-22/7) -> (42/31,19/14) Hyperbolic Matrix(449,1408,184,577) (-22/7,-3/1) -> (61/25,22/9) Hyperbolic Matrix(191,544,112,319) (-3/1,-17/6) -> (17/10,29/17) Hyperbolic Matrix(577,1632,204,577) (-17/6,-48/17) -> (48/17,17/6) Hyperbolic Matrix(1407,3968,862,2431) (-48/17,-31/11) -> (31/19,80/49) Hyperbolic Matrix(319,896,68,191) (-31/11,-14/5) -> (14/3,33/7) Hyperbolic Matrix(127,352,92,255) (-14/5,-11/4) -> (11/8,18/13) Hyperbolic Matrix(129,352,-70,-191) (-11/4,-19/7) -> (-13/7,-11/6) Hyperbolic Matrix(897,2432,142,385) (-19/7,-84/31) -> (44/7,19/3) Hyperbolic Matrix(2303,6240,1346,3647) (-84/31,-65/24) -> (65/38,12/7) Hyperbolic Matrix(1537,4160,426,1153) (-65/24,-46/17) -> (18/5,65/18) Hyperbolic Matrix(769,2080,166,449) (-46/17,-27/10) -> (37/8,14/3) Hyperbolic Matrix(191,512,-72,-193) (-27/10,-8/3) -> (-8/3,-37/14) Parabolic Matrix(1345,3552,582,1537) (-37/14,-66/25) -> (30/13,37/16) Hyperbolic Matrix(6207,16384,-3904,-10305) (-66/25,-95/36) -> (-159/100,-62/39) Hyperbolic Matrix(2559,6752,1552,4095) (-95/36,-29/11) -> (61/37,33/20) Hyperbolic Matrix(1471,3872,-900,-2369) (-29/11,-50/19) -> (-18/11,-67/41) Hyperbolic Matrix(961,2528,268,705) (-50/19,-21/8) -> (43/12,18/5) Hyperbolic Matrix(1343,3520,-562,-1473) (-21/8,-55/21) -> (-55/23,-43/18) Hyperbolic Matrix(831,2176,464,1215) (-55/21,-34/13) -> (34/19,9/5) Hyperbolic Matrix(1151,3008,-882,-2305) (-34/13,-47/18) -> (-47/36,-30/23) Hyperbolic Matrix(383,992,222,575) (-13/5,-31/12) -> (31/18,19/11) Hyperbolic Matrix(385,992,-248,-639) (-31/12,-18/7) -> (-14/9,-31/20) Hyperbolic Matrix(63,160,50,127) (-18/7,-5/2) -> (5/4,14/11) Hyperbolic Matrix(129,320,52,129) (-5/2,-32/13) -> (32/13,5/2) Hyperbolic Matrix(703,1728,286,703) (-32/13,-27/11) -> (27/11,32/13) Hyperbolic Matrix(1919,4704,-862,-2113) (-27/11,-49/20) -> (-49/22,-69/31) Hyperbolic Matrix(575,1408,78,191) (-49/20,-22/9) -> (22/3,15/2) Hyperbolic Matrix(577,1408,184,449) (-22/9,-61/25) -> (3/1,22/7) Hyperbolic Matrix(1601,3904,1024,2497) (-61/25,-39/16) -> (25/16,61/39) Hyperbolic Matrix(2943,7168,-2050,-4993) (-39/16,-56/23) -> (-56/39,-89/62) Hyperbolic Matrix(447,1088,394,959) (-56/23,-17/7) -> (17/15,8/7) Hyperbolic Matrix(897,2176,-580,-1407) (-17/7,-63/26) -> (-65/42,-17/11) Hyperbolic Matrix(2431,5888,898,2175) (-63/26,-46/19) -> (46/17,65/24) Hyperbolic Matrix(385,928,-212,-511) (-29/12,-12/5) -> (-20/11,-29/16) Hyperbolic Matrix(575,1376,374,895) (-12/5,-55/23) -> (23/15,20/13) Hyperbolic Matrix(1153,2752,-804,-1919) (-43/18,-31/13) -> (-33/23,-43/30) Hyperbolic Matrix(833,1984,296,705) (-31/13,-50/21) -> (14/5,31/11) Hyperbolic Matrix(257,608,-216,-511) (-19/8,-26/11) -> (-6/5,-19/16) Hyperbolic Matrix(705,1664,136,321) (-26/11,-59/25) -> (5/1,26/5) Hyperbolic Matrix(895,2112,542,1279) (-59/25,-33/14) -> (33/20,5/3) Hyperbolic Matrix(191,448,136,319) (-33/14,-7/3) -> (7/5,31/22) Hyperbolic Matrix(193,448,28,65) (-7/3,-37/16) -> (27/4,7/1) Hyperbolic Matrix(1343,3104,498,1151) (-37/16,-30/13) -> (62/23,27/10) Hyperbolic Matrix(833,1920,528,1217) (-30/13,-23/10) -> (41/26,30/19) Hyperbolic Matrix(321,736,140,321) (-23/10,-16/7) -> (16/7,23/10) Hyperbolic Matrix(127,288,56,127) (-16/7,-9/4) -> (9/4,16/7) Hyperbolic Matrix(257,576,-228,-511) (-9/4,-38/17) -> (-26/23,-9/8) Hyperbolic Matrix(7681,17152,2064,4609) (-67/30,-96/43) -> (160/43,67/18) Hyperbolic Matrix(6079,13568,1634,3647) (-96/43,-29/13) -> (93/25,160/43) Hyperbolic Matrix(1665,3712,632,1409) (-29/13,-49/22) -> (79/30,29/11) Hyperbolic Matrix(3135,6976,1754,3903) (-69/31,-20/9) -> (84/47,59/33) Hyperbolic Matrix(447,992,-260,-577) (-20/9,-11/5) -> (-43/25,-12/7) Hyperbolic Matrix(191,416,-118,-257) (-11/5,-2/1) -> (-34/21,-21/13) Hyperbolic Matrix(321,608,-236,-447) (-2/1,-15/8) -> (-49/36,-34/25) Hyperbolic Matrix(1857,3392,-1436,-2623) (-11/6,-42/23) -> (-22/17,-75/58) Hyperbolic Matrix(1089,1984,668,1217) (-31/17,-20/11) -> (44/27,31/19) Hyperbolic Matrix(513,928,-424,-767) (-29/16,-9/5) -> (-23/19,-29/24) Hyperbolic Matrix(1215,2176,464,831) (-9/5,-34/19) -> (34/13,55/21) Hyperbolic Matrix(2881,5152,1790,3201) (-34/19,-59/33) -> (37/23,66/41) Hyperbolic Matrix(3777,6752,1540,2753) (-59/33,-84/47) -> (76/31,27/11) Hyperbolic Matrix(1791,3200,286,511) (-84/47,-25/14) -> (25/4,44/7) Hyperbolic Matrix(449,800,252,449) (-25/14,-16/9) -> (16/9,25/14) Hyperbolic Matrix(127,224,72,127) (-16/9,-7/4) -> (7/4,16/9) Hyperbolic Matrix(129,224,-110,-191) (-7/4,-19/11) -> (-13/11,-7/6) Hyperbolic Matrix(575,992,222,383) (-19/11,-31/18) -> (31/12,13/5) Hyperbolic Matrix(1729,2976,-1338,-2303) (-31/18,-43/25) -> (-53/41,-31/24) Hyperbolic Matrix(1535,2624,-974,-1665) (-12/7,-41/24) -> (-41/26,-52/33) Hyperbolic Matrix(2305,3936,-1686,-2879) (-41/24,-29/17) -> (-67/49,-41/30) Hyperbolic Matrix(319,544,112,191) (-29/17,-17/10) -> (17/6,3/1) Hyperbolic Matrix(321,544,-226,-383) (-17/10,-5/3) -> (-27/19,-17/12) Hyperbolic Matrix(1279,2112,542,895) (-5/3,-33/20) -> (33/14,59/25) Hyperbolic Matrix(2369,3904,-1514,-2495) (-33/20,-28/17) -> (-36/23,-97/62) Hyperbolic Matrix(447,736,116,191) (-28/17,-23/14) -> (23/6,4/1) Hyperbolic Matrix(449,736,352,577) (-23/14,-18/11) -> (14/11,23/18) Hyperbolic Matrix(2879,4704,1292,2111) (-67/41,-49/30) -> (49/22,29/13) Hyperbolic Matrix(4801,7840,2940,4801) (-49/30,-80/49) -> (80/49,49/30) Hyperbolic Matrix(2431,3968,862,1407) (-80/49,-31/19) -> (31/11,48/17) Hyperbolic Matrix(1217,1984,668,1089) (-31/19,-44/27) -> (20/11,31/17) Hyperbolic Matrix(511,832,78,127) (-44/27,-13/8) -> (13/2,20/3) Hyperbolic Matrix(513,832,-394,-639) (-13/8,-34/21) -> (-30/23,-13/10) Hyperbolic Matrix(575,928,158,255) (-21/13,-29/18) -> (29/8,11/3) Hyperbolic Matrix(319,512,-200,-321) (-29/18,-8/5) -> (-8/5,-35/22) Parabolic Matrix(2495,3968,-1892,-3009) (-35/22,-97/61) -> (-33/25,-29/22) Hyperbolic Matrix(41215,65536,15294,24319) (-97/61,-256/161) -> (256/95,159/59) Hyperbolic Matrix(41217,65536,15296,24321) (-256/161,-159/100) -> (97/36,256/95) Hyperbolic Matrix(2879,4576,1610,2559) (-62/39,-27/17) -> (59/33,34/19) Hyperbolic Matrix(383,608,80,127) (-27/17,-19/12) -> (19/4,5/1) Hyperbolic Matrix(769,1216,-566,-895) (-19/12,-30/19) -> (-34/25,-19/14) Hyperbolic Matrix(1217,1920,528,833) (-30/19,-41/26) -> (23/10,30/13) Hyperbolic Matrix(5505,8672,2032,3201) (-52/33,-63/40) -> (65/24,84/31) Hyperbolic Matrix(447,704,40,63) (-63/40,-11/7) -> (11/1,1/0) Hyperbolic Matrix(511,800,122,191) (-11/7,-36/23) -> (4/1,21/5) Hyperbolic Matrix(5953,9312,2210,3457) (-97/62,-61/39) -> (35/13,97/36) Hyperbolic Matrix(2497,3904,1024,1601) (-61/39,-25/16) -> (39/16,61/25) Hyperbolic Matrix(513,800,370,577) (-25/16,-14/9) -> (18/13,25/18) Hyperbolic Matrix(2561,3968,992,1537) (-31/20,-48/31) -> (80/31,31/12) Hyperbolic Matrix(6719,10400,1860,2879) (-48/31,-65/42) -> (65/18,112/31) Hyperbolic Matrix(705,1088,208,321) (-17/11,-20/13) -> (44/13,17/5) Hyperbolic Matrix(1855,2848,708,1087) (-20/13,-23/15) -> (55/21,76/29) Hyperbolic Matrix(1087,1664,292,447) (-23/15,-3/2) -> (67/18,41/11) Hyperbolic Matrix(65,96,44,65) (-3/2,-16/11) -> (16/11,3/2) Hyperbolic Matrix(639,928,440,639) (-16/11,-29/20) -> (29/20,16/11) Hyperbolic Matrix(575,832,132,191) (-29/20,-13/9) -> (13/3,35/8) Hyperbolic Matrix(1023,1472,622,895) (-36/25,-23/16) -> (23/14,28/17) Hyperbolic Matrix(2497,3584,402,577) (-89/62,-33/23) -> (31/5,25/4) Hyperbolic Matrix(7681,11008,3216,4609) (-43/30,-96/67) -> (160/67,43/18) Hyperbolic Matrix(13759,19712,5762,8255) (-96/67,-53/37) -> (117/49,160/67) Hyperbolic Matrix(447,640,44,63) (-53/37,-10/7) -> (10/1,11/1) Hyperbolic Matrix(2879,4096,854,1215) (-37/26,-64/45) -> (64/19,27/8) Hyperbolic Matrix(2881,4096,856,1217) (-64/45,-27/19) -> (37/11,64/19) Hyperbolic Matrix(769,1088,634,897) (-17/12,-41/29) -> (23/19,17/14) Hyperbolic Matrix(385,544,46,65) (-41/29,-24/17) -> (8/1,9/1) Hyperbolic Matrix(1407,1984,-1090,-1537) (-24/17,-31/22) -> (-31/24,-40/31) Hyperbolic Matrix(319,448,136,191) (-31/22,-7/5) -> (7/3,33/14) Hyperbolic Matrix(321,448,230,321) (-7/5,-32/23) -> (32/23,7/5) Hyperbolic Matrix(1151,1600,828,1151) (-32/23,-25/18) -> (25/18,32/23) Hyperbolic Matrix(577,800,370,513) (-25/18,-18/13) -> (14/9,25/16) Hyperbolic Matrix(255,352,92,127) (-18/13,-11/8) -> (11/4,14/5) Hyperbolic Matrix(959,1312,-796,-1089) (-26/19,-67/49) -> (-35/29,-6/5) Hyperbolic Matrix(961,1312,282,385) (-41/30,-15/11) -> (17/5,41/12) Hyperbolic Matrix(3007,4096,798,1087) (-15/11,-64/47) -> (64/17,49/13) Hyperbolic Matrix(3009,4096,800,1089) (-64/47,-49/36) -> (15/4,64/17) Hyperbolic Matrix(897,1216,284,385) (-19/14,-42/31) -> (22/7,19/6) Hyperbolic Matrix(449,608,48,65) (-42/31,-23/17) -> (9/1,10/1) Hyperbolic Matrix(191,256,-144,-193) (-31/23,-4/3) -> (-4/3,-33/25) Parabolic Matrix(1025,1344,196,257) (-21/16,-38/29) -> (26/5,21/4) Hyperbolic Matrix(831,1088,-734,-961) (-38/29,-17/13) -> (-17/15,-26/23) Hyperbolic Matrix(3135,4096,734,959) (-17/13,-64/49) -> (64/15,47/11) Hyperbolic Matrix(3137,4096,736,961) (-64/49,-47/36) -> (17/4,64/15) Hyperbolic Matrix(12671,16384,2870,3711) (-75/58,-128/99) -> (128/29,53/12) Hyperbolic Matrix(12673,16384,2872,3713) (-128/99,-53/41) -> (75/17,128/29) Hyperbolic Matrix(769,992,100,129) (-40/31,-9/7) -> (23/3,8/1) Hyperbolic Matrix(449,576,350,449) (-9/7,-32/25) -> (32/25,9/7) Hyperbolic Matrix(1151,1472,900,1151) (-32/25,-23/18) -> (23/18,32/25) Hyperbolic Matrix(577,736,352,449) (-23/18,-14/11) -> (18/11,23/14) Hyperbolic Matrix(127,160,50,63) (-14/11,-5/4) -> (5/2,18/7) Hyperbolic Matrix(129,160,104,129) (-5/4,-16/13) -> (16/13,5/4) Hyperbolic Matrix(703,864,572,703) (-16/13,-27/22) -> (27/22,16/13) Hyperbolic Matrix(575,704,156,191) (-27/22,-11/9) -> (11/3,37/10) Hyperbolic Matrix(577,704,368,449) (-11/9,-28/23) -> (36/23,11/7) Hyperbolic Matrix(897,1088,634,769) (-17/14,-23/19) -> (41/29,17/12) Hyperbolic Matrix(3391,4096,582,703) (-29/24,-64/53) -> (64/11,35/6) Hyperbolic Matrix(3393,4096,584,705) (-64/53,-35/29) -> (29/5,64/11) Hyperbolic Matrix(1537,1824,648,769) (-19/16,-32/27) -> (64/27,19/8) Hyperbolic Matrix(1919,2272,810,959) (-32/27,-13/11) -> (45/19,64/27) Hyperbolic Matrix(193,224,56,65) (-7/6,-8/7) -> (24/7,7/2) Hyperbolic Matrix(959,1088,394,447) (-8/7,-17/15) -> (17/7,56/23) Hyperbolic Matrix(257,288,58,65) (-9/8,-1/1) -> (31/7,9/2) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(511,-576,228,-257) (9/8,17/15) -> (47/21,9/4) Hyperbolic Matrix(191,-224,110,-129) (7/6,6/5) -> (26/15,7/4) Hyperbolic Matrix(1535,-1856,636,-769) (6/5,23/19) -> (41/17,70/29) Hyperbolic Matrix(447,-544,106,-129) (17/14,11/9) -> (21/5,17/4) Hyperbolic Matrix(321,-416,98,-127) (9/7,13/10) -> (13/4,23/7) Hyperbolic Matrix(319,-416,148,-193) (13/10,17/13) -> (15/7,13/6) Hyperbolic Matrix(1857,-2432,830,-1087) (17/13,38/29) -> (38/17,47/21) Hyperbolic Matrix(1217,-1600,340,-447) (21/16,4/3) -> (68/19,43/12) Hyperbolic Matrix(1089,-1472,236,-319) (4/3,23/17) -> (23/5,60/13) Hyperbolic Matrix(895,-1216,566,-769) (19/14,15/11) -> (49/31,19/12) Hyperbolic Matrix(257,-352,46,-63) (15/11,11/8) -> (11/2,17/3) Hyperbolic Matrix(1793,-2528,544,-767) (31/22,24/17) -> (56/17,33/10) Hyperbolic Matrix(383,-544,226,-321) (17/12,10/7) -> (22/13,17/10) Hyperbolic Matrix(1919,-2752,804,-1153) (10/7,33/23) -> (31/13,74/31) Hyperbolic Matrix(1983,-2848,580,-833) (33/23,23/16) -> (41/12,65/19) Hyperbolic Matrix(511,-736,134,-193) (23/16,13/9) -> (19/5,23/6) Hyperbolic Matrix(639,-992,248,-385) (17/11,14/9) -> (18/7,49/19) Hyperbolic Matrix(2495,-3904,1514,-2369) (61/39,36/23) -> (28/17,61/37) Hyperbolic Matrix(1665,-2624,974,-1535) (11/7,41/26) -> (41/24,53/31) Hyperbolic Matrix(1985,-3136,526,-831) (30/19,49/31) -> (49/13,34/9) Hyperbolic Matrix(321,-512,200,-319) (27/17,8/5) -> (8/5,37/23) Parabolic Matrix(10177,-16384,3776,-6079) (66/41,95/59) -> (159/59,62/23) Hyperbolic Matrix(11009,-17728,2384,-3839) (95/59,29/18) -> (157/34,97/21) Hyperbolic Matrix(257,-416,118,-191) (21/13,13/8) -> (13/6,11/5) Hyperbolic Matrix(2369,-3872,900,-1471) (49/30,18/11) -> (50/19,79/30) Hyperbolic Matrix(511,-864,152,-257) (5/3,22/13) -> (10/3,37/11) Hyperbolic Matrix(1087,-1856,188,-321) (29/17,41/24) -> (23/4,29/5) Hyperbolic Matrix(577,-992,260,-447) (12/7,31/18) -> (31/14,20/9) Hyperbolic Matrix(961,-1664,406,-703) (19/11,26/15) -> (26/11,45/19) Hyperbolic Matrix(511,-928,212,-385) (9/5,20/11) -> (12/5,41/17) Hyperbolic Matrix(1087,-1984,246,-449) (31/17,11/6) -> (53/12,31/7) Hyperbolic Matrix(191,-352,70,-129) (11/6,2/1) -> (30/11,11/4) Hyperbolic Matrix(257,-544,60,-127) (2/1,15/7) -> (47/11,30/7) Hyperbolic Matrix(767,-1696,232,-513) (11/5,31/14) -> (33/10,43/13) Hyperbolic Matrix(2113,-4704,862,-1919) (20/9,49/22) -> (49/20,76/31) Hyperbolic Matrix(1919,-4288,516,-1153) (29/13,38/17) -> (26/7,93/25) Hyperbolic Matrix(511,-1216,108,-257) (19/8,31/13) -> (33/7,19/4) Hyperbolic Matrix(1473,-3520,562,-1343) (43/18,12/5) -> (76/29,21/8) Hyperbolic Matrix(1087,-2624,186,-449) (70/29,29/12) -> (35/6,6/1) Hyperbolic Matrix(767,-1856,212,-513) (29/12,17/7) -> (47/13,29/8) Hyperbolic Matrix(2431,-5920,710,-1729) (56/23,39/16) -> (89/26,24/7) Hyperbolic Matrix(3585,-9248,992,-2559) (49/19,80/31) -> (112/31,47/13) Hyperbolic Matrix(319,-832,74,-193) (13/5,34/13) -> (30/7,13/3) Hyperbolic Matrix(193,-512,72,-191) (29/11,8/3) -> (8/3,35/13) Parabolic Matrix(447,-1216,118,-321) (19/7,30/11) -> (34/9,19/5) Hyperbolic Matrix(511,-1696,116,-385) (43/13,10/3) -> (22/5,75/17) Hyperbolic Matrix(511,-1728,76,-257) (27/8,44/13) -> (20/3,27/4) Hyperbolic Matrix(1727,-6176,394,-1409) (25/7,68/19) -> (92/21,57/13) Hyperbolic Matrix(1599,-5920,346,-1281) (37/10,63/17) -> (97/21,37/8) Hyperbolic Matrix(319,-1184,52,-193) (63/17,26/7) -> (6/1,31/5) Hyperbolic Matrix(257,-960,34,-127) (41/11,15/4) -> (15/2,23/3) Hyperbolic Matrix(3777,-16544,818,-3583) (35/8,92/21) -> (60/13,157/34) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(65,768,38,449) -> Matrix(1,2,0,1) Matrix(191,1984,80,831) -> Matrix(5,-2,8,-3) Matrix(65,608,48,449) -> Matrix(1,0,2,1) Matrix(65,544,46,385) -> Matrix(1,-2,2,-3) Matrix(127,960,-34,-257) -> Matrix(1,2,-2,-3) Matrix(191,1408,78,575) -> Matrix(7,6,8,7) Matrix(193,1408,44,321) -> Matrix(1,0,0,1) Matrix(257,1728,-76,-511) -> Matrix(1,0,2,1) Matrix(127,832,78,511) -> Matrix(1,0,4,1) Matrix(129,832,20,129) -> Matrix(1,0,8,1) Matrix(191,1216,30,191) -> Matrix(1,0,-12,1) Matrix(385,2432,142,897) -> Matrix(1,0,-4,1) Matrix(511,3200,286,1791) -> Matrix(1,0,2,1) Matrix(193,1184,-52,-319) -> Matrix(1,0,-2,1) Matrix(63,352,-46,-257) -> Matrix(1,-2,0,1) Matrix(65,352,12,65) -> Matrix(1,-2,0,1) Matrix(127,672,24,127) -> Matrix(1,4,0,1) Matrix(257,1344,196,1025) -> Matrix(1,2,0,1) Matrix(321,1664,136,705) -> Matrix(1,0,2,1) Matrix(127,608,80,383) -> Matrix(1,0,2,1) Matrix(257,1216,-108,-511) -> Matrix(5,2,-8,-3) Matrix(449,2080,166,769) -> Matrix(1,0,4,1) Matrix(319,1472,-236,-1089) -> Matrix(1,0,6,1) Matrix(321,1472,70,321) -> Matrix(1,0,20,1) Matrix(127,576,28,127) -> Matrix(1,0,-8,1) Matrix(65,288,58,257) -> Matrix(5,-2,8,-3) Matrix(449,1984,-246,-1087) -> Matrix(9,-4,-20,9) Matrix(321,1408,44,193) -> Matrix(1,0,0,1) Matrix(577,2528,-438,-1919) -> Matrix(1,0,-4,1) Matrix(191,832,132,575) -> Matrix(1,0,0,1) Matrix(193,832,-74,-319) -> Matrix(1,0,-2,1) Matrix(129,544,-106,-447) -> Matrix(1,0,-2,1) Matrix(193,736,-134,-511) -> Matrix(1,2,-2,-3) Matrix(127,480,-68,-257) -> Matrix(3,4,-4,-5) Matrix(961,3584,292,1089) -> Matrix(1,0,2,1) Matrix(447,1664,292,1087) -> Matrix(1,0,2,1) Matrix(1153,4288,-516,-1919) -> Matrix(1,0,2,1) Matrix(3073,11392,898,3329) -> Matrix(1,-2,0,1) Matrix(769,2848,-570,-2111) -> Matrix(1,2,0,1) Matrix(191,704,156,575) -> Matrix(5,4,6,5) Matrix(255,928,158,575) -> Matrix(1,0,4,1) Matrix(513,1856,-212,-767) -> Matrix(5,2,-8,-3) Matrix(705,2528,268,961) -> Matrix(9,2,4,1) Matrix(447,1600,-340,-1217) -> Matrix(1,0,4,1) Matrix(449,1600,126,449) -> Matrix(1,0,16,1) Matrix(127,448,36,127) -> Matrix(1,0,-4,1) Matrix(65,224,56,193) -> Matrix(1,0,0,1) Matrix(833,2848,-580,-1983) -> Matrix(1,0,-2,1) Matrix(319,1088,56,191) -> Matrix(1,0,-2,1) Matrix(321,1088,208,705) -> Matrix(1,0,0,1) Matrix(833,2816,360,1217) -> Matrix(1,0,0,1) Matrix(191,640,-134,-449) -> Matrix(1,-2,0,1) Matrix(127,416,-98,-321) -> Matrix(1,0,-2,1) Matrix(129,416,40,129) -> Matrix(1,-4,0,1) Matrix(191,608,60,191) -> Matrix(1,6,0,1) Matrix(385,1216,284,897) -> Matrix(1,2,2,5) Matrix(449,1408,184,577) -> Matrix(3,2,4,3) Matrix(191,544,112,319) -> Matrix(1,2,0,1) Matrix(577,1632,204,577) -> Matrix(1,0,2,1) Matrix(1407,3968,862,2431) -> Matrix(3,2,4,3) Matrix(319,896,68,191) -> Matrix(1,0,4,1) Matrix(127,352,92,255) -> Matrix(1,0,0,1) Matrix(129,352,-70,-191) -> Matrix(1,2,-2,-3) Matrix(897,2432,142,385) -> Matrix(1,0,-4,1) Matrix(2303,6240,1346,3647) -> Matrix(1,2,0,1) Matrix(1537,4160,426,1153) -> Matrix(1,0,4,1) Matrix(769,2080,166,449) -> Matrix(1,0,4,1) Matrix(191,512,-72,-193) -> Matrix(1,-2,0,1) Matrix(1345,3552,582,1537) -> Matrix(1,0,2,1) Matrix(6207,16384,-3904,-10305) -> Matrix(1,-6,0,1) Matrix(2559,6752,1552,4095) -> Matrix(1,6,2,13) Matrix(1471,3872,-900,-2369) -> Matrix(1,2,0,1) Matrix(961,2528,268,705) -> Matrix(1,2,4,9) Matrix(1343,3520,-562,-1473) -> Matrix(3,4,-4,-5) Matrix(831,2176,464,1215) -> Matrix(1,2,2,5) Matrix(1151,3008,-882,-2305) -> Matrix(7,8,-8,-9) Matrix(383,992,222,575) -> Matrix(1,2,0,1) Matrix(385,992,-248,-639) -> Matrix(1,2,0,1) Matrix(63,160,50,127) -> Matrix(1,2,0,1) Matrix(129,320,52,129) -> Matrix(3,4,2,3) Matrix(703,1728,286,703) -> Matrix(23,22,24,23) Matrix(1919,4704,-862,-2113) -> Matrix(7,6,8,7) Matrix(575,1408,78,191) -> Matrix(7,6,8,7) Matrix(577,1408,184,449) -> Matrix(3,2,4,3) Matrix(1601,3904,1024,2497) -> Matrix(3,2,10,7) Matrix(2943,7168,-2050,-4993) -> Matrix(1,0,0,1) Matrix(447,1088,394,959) -> Matrix(5,4,6,5) Matrix(897,2176,-580,-1407) -> Matrix(5,4,-4,-3) Matrix(2431,5888,898,2175) -> Matrix(3,2,4,3) Matrix(385,928,-212,-511) -> Matrix(3,2,-8,-5) Matrix(575,1376,374,895) -> Matrix(3,2,4,3) Matrix(1153,2752,-804,-1919) -> Matrix(3,2,-8,-5) Matrix(833,1984,296,705) -> Matrix(3,2,4,3) Matrix(257,608,-216,-511) -> Matrix(5,2,-8,-3) Matrix(705,1664,136,321) -> Matrix(1,0,2,1) Matrix(895,2112,542,1279) -> Matrix(3,2,4,3) Matrix(191,448,136,319) -> Matrix(1,0,4,1) Matrix(193,448,28,65) -> Matrix(1,0,2,1) Matrix(1343,3104,498,1151) -> Matrix(3,2,-2,-1) Matrix(833,1920,528,1217) -> Matrix(1,0,4,1) Matrix(321,736,140,321) -> Matrix(1,0,6,1) Matrix(127,288,56,127) -> Matrix(1,0,0,1) Matrix(257,576,-228,-511) -> Matrix(3,-2,-4,3) Matrix(7681,17152,2064,4609) -> Matrix(1,0,0,1) Matrix(6079,13568,1634,3647) -> Matrix(1,-2,2,-3) Matrix(1665,3712,632,1409) -> Matrix(1,2,0,1) Matrix(3135,6976,1754,3903) -> Matrix(1,-2,6,-11) Matrix(447,992,-260,-577) -> Matrix(1,-2,0,1) Matrix(191,416,-118,-257) -> Matrix(1,2,-2,-3) Matrix(321,608,-236,-447) -> Matrix(3,4,-4,-5) Matrix(1857,3392,-1436,-2623) -> Matrix(17,8,-32,-15) Matrix(1089,1984,668,1217) -> Matrix(5,2,12,5) Matrix(513,928,-424,-767) -> Matrix(5,2,-8,-3) Matrix(1215,2176,464,831) -> Matrix(5,2,2,1) Matrix(2881,5152,1790,3201) -> Matrix(9,2,22,5) Matrix(3777,6752,1540,2753) -> Matrix(41,8,46,9) Matrix(1791,3200,286,511) -> Matrix(1,0,2,1) Matrix(449,800,252,449) -> Matrix(1,0,10,1) Matrix(127,224,72,127) -> Matrix(1,0,0,1) Matrix(129,224,-110,-191) -> Matrix(1,0,-2,1) Matrix(575,992,222,383) -> Matrix(1,2,0,1) Matrix(1729,2976,-1338,-2303) -> Matrix(1,0,-2,1) Matrix(1535,2624,-974,-1665) -> Matrix(1,2,-2,-3) Matrix(2305,3936,-1686,-2879) -> Matrix(1,0,0,1) Matrix(319,544,112,191) -> Matrix(1,2,0,1) Matrix(321,544,-226,-383) -> Matrix(1,2,-2,-3) Matrix(1279,2112,542,895) -> Matrix(3,2,4,3) Matrix(2369,3904,-1514,-2495) -> Matrix(5,2,-8,-3) Matrix(447,736,116,191) -> Matrix(5,2,2,1) Matrix(449,736,352,577) -> Matrix(1,0,2,1) Matrix(2879,4704,1292,2111) -> Matrix(1,0,0,1) Matrix(4801,7840,2940,4801) -> Matrix(1,0,2,1) Matrix(2431,3968,862,1407) -> Matrix(3,2,4,3) Matrix(1217,1984,668,1089) -> Matrix(5,2,12,5) Matrix(511,832,78,127) -> Matrix(1,0,4,1) Matrix(513,832,-394,-639) -> Matrix(1,2,-2,-3) Matrix(575,928,158,255) -> Matrix(1,0,4,1) Matrix(319,512,-200,-321) -> Matrix(1,0,2,1) Matrix(2495,3968,-1892,-3009) -> Matrix(1,-2,-2,5) Matrix(41215,65536,15294,24319) -> Matrix(1,-28,0,1) Matrix(41217,65536,15296,24321) -> Matrix(1,26,0,1) Matrix(2879,4576,1610,2559) -> Matrix(1,2,4,9) Matrix(383,608,80,127) -> Matrix(1,0,2,1) Matrix(769,1216,-566,-895) -> Matrix(1,2,-2,-3) Matrix(1217,1920,528,833) -> Matrix(1,0,4,1) Matrix(5505,8672,2032,3201) -> Matrix(1,0,2,1) Matrix(447,704,40,63) -> Matrix(1,0,2,1) Matrix(511,800,122,191) -> Matrix(3,2,-2,-1) Matrix(5953,9312,2210,3457) -> Matrix(5,2,2,1) Matrix(2497,3904,1024,1601) -> Matrix(7,2,10,3) Matrix(513,800,370,577) -> Matrix(1,0,0,1) Matrix(2561,3968,992,1537) -> Matrix(1,4,0,1) Matrix(6719,10400,1860,2879) -> Matrix(1,2,4,9) Matrix(705,1088,208,321) -> Matrix(1,0,0,1) Matrix(1855,2848,708,1087) -> Matrix(1,2,0,1) Matrix(1087,1664,292,447) -> Matrix(1,0,2,1) Matrix(65,96,44,65) -> Matrix(1,0,2,1) Matrix(639,928,440,639) -> Matrix(3,2,4,3) Matrix(575,832,132,191) -> Matrix(1,0,0,1) Matrix(1023,1472,622,895) -> Matrix(1,0,4,1) Matrix(2497,3584,402,577) -> Matrix(3,2,-8,-5) Matrix(7681,11008,3216,4609) -> Matrix(11,2,16,3) Matrix(13759,19712,5762,8255) -> Matrix(13,-2,20,-3) Matrix(447,640,44,63) -> Matrix(1,0,0,1) Matrix(2879,4096,854,1215) -> Matrix(5,6,-6,-7) Matrix(2881,4096,856,1217) -> Matrix(9,8,-8,-7) Matrix(769,1088,634,897) -> Matrix(5,4,6,5) Matrix(385,544,46,65) -> Matrix(3,2,-2,-1) Matrix(1407,1984,-1090,-1537) -> Matrix(3,2,-8,-5) Matrix(319,448,136,191) -> Matrix(1,0,4,1) Matrix(321,448,230,321) -> Matrix(1,0,4,1) Matrix(1151,1600,828,1151) -> Matrix(1,0,-6,1) Matrix(577,800,370,513) -> Matrix(1,0,0,1) Matrix(255,352,92,127) -> Matrix(1,0,0,1) Matrix(959,1312,-796,-1089) -> Matrix(3,4,-4,-5) Matrix(961,1312,282,385) -> Matrix(1,2,-2,-3) Matrix(3007,4096,798,1087) -> Matrix(13,14,12,13) Matrix(3009,4096,800,1089) -> Matrix(13,12,14,13) Matrix(897,1216,284,385) -> Matrix(5,2,2,1) Matrix(449,608,48,65) -> Matrix(1,0,2,1) Matrix(191,256,-144,-193) -> Matrix(1,2,-2,-3) Matrix(1025,1344,196,257) -> Matrix(1,2,0,1) Matrix(831,1088,-734,-961) -> Matrix(3,4,-4,-5) Matrix(3135,4096,734,959) -> Matrix(13,14,-14,-15) Matrix(3137,4096,736,961) -> Matrix(17,16,-16,-15) Matrix(12671,16384,2870,3711) -> Matrix(35,18,-72,-37) Matrix(12673,16384,2872,3713) -> Matrix(33,16,-64,-31) Matrix(769,992,100,129) -> Matrix(5,2,2,1) Matrix(449,576,350,449) -> Matrix(1,0,4,1) Matrix(1151,1472,900,1151) -> Matrix(1,0,-2,1) Matrix(577,736,352,449) -> Matrix(1,0,2,1) Matrix(127,160,50,63) -> Matrix(1,2,0,1) Matrix(129,160,104,129) -> Matrix(1,0,2,1) Matrix(703,864,572,703) -> Matrix(13,12,14,13) Matrix(575,704,156,191) -> Matrix(5,4,6,5) Matrix(577,704,368,449) -> Matrix(3,2,4,3) Matrix(897,1088,634,769) -> Matrix(5,4,6,5) Matrix(3391,4096,582,703) -> Matrix(1,0,0,1) Matrix(3393,4096,584,705) -> Matrix(5,4,-4,-3) Matrix(1537,1824,648,769) -> Matrix(15,8,28,15) Matrix(1919,2272,810,959) -> Matrix(13,6,28,13) Matrix(193,224,56,65) -> Matrix(1,0,0,1) Matrix(959,1088,394,447) -> Matrix(5,4,6,5) Matrix(257,288,58,65) -> Matrix(3,2,-8,-5) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(511,-576,228,-257) -> Matrix(3,-2,-4,3) Matrix(191,-224,110,-129) -> Matrix(1,0,-2,1) Matrix(1535,-1856,636,-769) -> Matrix(1,0,0,1) Matrix(447,-544,106,-129) -> Matrix(1,0,-2,1) Matrix(321,-416,98,-127) -> Matrix(1,0,-2,1) Matrix(319,-416,148,-193) -> Matrix(5,-4,4,-3) Matrix(1857,-2432,830,-1087) -> Matrix(1,-2,0,1) Matrix(1217,-1600,340,-447) -> Matrix(1,0,4,1) Matrix(1089,-1472,236,-319) -> Matrix(1,0,6,1) Matrix(895,-1216,566,-769) -> Matrix(3,-2,2,-1) Matrix(257,-352,46,-63) -> Matrix(1,-2,0,1) Matrix(1793,-2528,544,-767) -> Matrix(3,-2,2,-1) Matrix(383,-544,226,-321) -> Matrix(3,-2,2,-1) Matrix(1919,-2752,804,-1153) -> Matrix(5,-2,8,-3) Matrix(1983,-2848,580,-833) -> Matrix(1,0,-2,1) Matrix(511,-736,134,-193) -> Matrix(3,-2,2,-1) Matrix(639,-992,248,-385) -> Matrix(1,2,0,1) Matrix(2495,-3904,1514,-2369) -> Matrix(3,-2,8,-5) Matrix(1665,-2624,974,-1535) -> Matrix(3,-2,2,-1) Matrix(1985,-3136,526,-831) -> Matrix(7,-6,6,-5) Matrix(321,-512,200,-319) -> Matrix(1,0,2,1) Matrix(10177,-16384,3776,-6079) -> Matrix(17,-8,-2,1) Matrix(11009,-17728,2384,-3839) -> Matrix(7,-4,44,-25) Matrix(257,-416,118,-191) -> Matrix(3,-2,2,-1) Matrix(2369,-3872,900,-1471) -> Matrix(1,2,0,1) Matrix(511,-864,152,-257) -> Matrix(3,-4,-2,3) Matrix(1087,-1856,188,-321) -> Matrix(1,-2,0,1) Matrix(577,-992,260,-447) -> Matrix(1,-2,0,1) Matrix(961,-1664,406,-703) -> Matrix(1,2,2,5) Matrix(511,-928,212,-385) -> Matrix(5,-2,8,-3) Matrix(1087,-1984,246,-449) -> Matrix(9,-4,-20,9) Matrix(191,-352,70,-129) -> Matrix(3,-2,2,-1) Matrix(257,-544,60,-127) -> Matrix(5,-4,-6,5) Matrix(767,-1696,232,-513) -> Matrix(1,2,0,1) Matrix(2113,-4704,862,-1919) -> Matrix(7,6,8,7) Matrix(1919,-4288,516,-1153) -> Matrix(1,0,2,1) Matrix(511,-1216,108,-257) -> Matrix(3,-2,8,-5) Matrix(1473,-3520,562,-1343) -> Matrix(5,-4,4,-3) Matrix(1087,-2624,186,-449) -> Matrix(3,-2,-4,3) Matrix(767,-1856,212,-513) -> Matrix(3,-2,8,-5) Matrix(2431,-5920,710,-1729) -> Matrix(1,0,-2,1) Matrix(3585,-9248,992,-2559) -> Matrix(1,-4,4,-15) Matrix(319,-832,74,-193) -> Matrix(1,0,-2,1) Matrix(193,-512,72,-191) -> Matrix(1,-2,0,1) Matrix(447,-1216,118,-321) -> Matrix(3,-2,2,-1) Matrix(511,-1696,116,-385) -> Matrix(1,4,-2,-7) Matrix(511,-1728,76,-257) -> Matrix(1,0,2,1) Matrix(1727,-6176,394,-1409) -> Matrix(1,0,-8,1) Matrix(1599,-5920,346,-1281) -> Matrix(1,-2,6,-11) Matrix(319,-1184,52,-193) -> Matrix(1,0,-2,1) Matrix(257,-960,34,-127) -> Matrix(3,-2,2,-1) Matrix(3777,-16544,818,-3583) -> Matrix(5,2,32,13) 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): 68 Degree of the the map X: 68 Degree of the the map Y: 256 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 0/1 2 1 1/1 (0/1,1/2) 0 32 9/8 (2/3,3/4) 0 32 17/15 (1/2,1/1) 0 32 8/7 1/1 2 4 7/6 (0/1,1/2) 0 32 6/5 2/3 1 16 23/19 (1/2,2/3) 0 32 17/14 (4/5,1/1) 0 32 11/9 (2/3,3/4) 0 32 27/22 (6/7,1/1) 0 32 16/13 1/1 6 2 5/4 (0/1,1/1) 0 32 14/11 0/1 1 16 23/18 (-1/1,0/1) 0 32 32/25 0/1 3 1 9/7 (0/1,1/2) 0 32 13/10 (1/2,2/3) 0 32 17/13 (1/1,3/2) 0 32 38/29 2/1 1 16 21/16 (0/1,1/0) 0 32 4/3 1/1 1 8 23/17 (0/1,1/4) 0 32 42/31 0/1 1 16 19/14 (1/2,1/1) 0 32 15/11 (1/1,3/2) 0 32 11/8 (1/1,1/0) 0 32 18/13 0/1 1 16 25/18 (-1/3,0/1) 0 32 32/23 0/1 5 1 7/5 (0/1,1/2) 0 32 31/22 (1/2,3/5) 0 32 24/17 1/2 1 4 41/29 (2/3,3/4) 0 32 17/12 (0/1,1/1) 0 32 10/7 0/1 1 16 33/23 (2/5,1/2) 0 32 23/16 (0/1,1/1) 0 32 13/9 (0/1,1/2) 0 32 29/20 (1/2,1/1) 0 32 16/11 1/1 1 2 3/2 (0/1,1/1) 0 32 23/15 (0/1,1/0) 0 32 20/13 1/1 1 8 17/11 (1/1,1/0) 0 32 14/9 0/1 1 16 25/16 (0/1,1/3) 0 32 61/39 (1/3,1/2) 0 32 36/23 1/2 1 8 11/7 (0/1,1/0) 0 32 41/26 (0/1,1/1) 0 32 30/19 2/3 1 16 49/31 (1/1,5/4) 0 32 19/12 (1/1,1/0) 0 32 27/17 (1/2,1/1) 0 32 8/5 0/1 1 4 37/23 (1/4,1/3) 0 32 66/41 4/9 1 16 95/59 (1/2,10/19) 0 32 29/18 (1/2,1/1) 0 32 21/13 (2/5,1/2) 0 32 13/8 (0/1,1/0) 0 32 44/27 1/3 1 8 31/19 (0/1,1/2) 0 32 80/49 1/1 2 2 49/30 (0/1,1/1) 0 32 18/11 0/1 1 16 23/14 (0/1,1/3) 0 32 28/17 1/2 1 8 61/37 (3/7,1/2) 0 32 33/20 (1/2,5/9) 0 32 5/3 (1/2,1/1) 0 32 22/13 2/1 1 16 17/10 (1/1,2/1) 0 32 29/17 (1/1,1/0) 0 32 41/24 (1/1,2/1) 0 32 53/31 (3/2,2/1) 0 32 65/38 (2/1,1/0) 0 32 12/7 1/0 1 8 31/18 (-1/1,1/0) 0 32 19/11 (2/1,1/0) 0 32 26/15 -2/1 1 16 7/4 (0/1,1/0) 0 32 16/9 0/1 5 2 25/14 (0/1,1/5) 0 32 84/47 1/6 1 8 59/33 (1/5,3/14) 0 32 34/19 2/7 1 16 9/5 (0/1,1/2) 0 32 20/11 1/3 1 8 31/17 (2/5,1/2) 0 32 11/6 (1/2,3/5) 0 32 2/1 0/1 1 16 15/7 (1/1,7/6) 0 32 13/6 (3/2,2/1) 0 32 11/5 (4/1,1/0) 0 32 31/14 (-3/1,1/0) 0 32 20/9 1/0 1 8 49/22 (-1/1,0/1) 0 32 29/13 (-1/1,1/0) 0 32 38/17 0/1 1 16 47/21 (-1/1,-1/2) 0 32 9/4 (0/1,1/0) 0 32 16/7 0/1 3 2 23/10 (0/1,1/3) 0 32 30/13 2/5 1 16 37/16 (2/3,1/1) 0 32 7/3 (0/1,1/2) 0 32 33/14 (3/7,1/2) 0 32 59/25 (1/2,1/1) 0 32 26/11 0/1 1 16 45/19 (4/9,1/2) 0 32 64/27 1/2 7 1 19/8 (1/2,3/5) 0 32 31/13 (0/1,1/2) 0 32 74/31 2/3 1 16 117/49 (9/14,2/3) 0 32 160/67 2/3 6 1 43/18 (2/3,3/4) 0 32 12/5 1/1 1 8 41/17 (1/2,2/3) 0 32 70/29 2/3 1 16 29/12 (1/2,1/1) 0 32 17/7 (3/4,1/1) 0 32 56/23 1/1 2 4 39/16 (2/3,1/1) 0 32 61/25 (3/4,1/1) 0 32 22/9 4/5 1 16 49/20 (6/7,1/1) 0 32 76/31 7/8 1 8 27/11 (11/12,1/1) 0 32 32/13 1/1 13 1 5/2 (1/1,2/1) 0 32 18/7 2/1 1 16 49/19 (3/1,1/0) 0 32 80/31 1/0 1 2 31/12 (3/1,1/0) 0 32 13/5 (0/1,1/0) 0 32 34/13 4/3 1 16 55/21 (2/1,1/0) 0 32 76/29 1/1 1 8 21/8 (2/1,1/0) 0 32 50/19 2/1 1 16 79/30 (2/1,3/1) 0 32 29/11 (3/1,1/0) 0 32 8/3 1/0 1 4 35/13 (1/1,1/0) 0 32 97/36 (9/1,1/0) 0 32 256/95 1/0 27 1 159/59 (-18/1,1/0) 0 32 62/23 -4/1 1 16 27/10 (-1/1,0/1) 0 32 46/17 0/1 1 16 65/24 (0/1,1/0) 0 32 84/31 1/0 1 8 19/7 (0/1,1/2) 0 32 30/11 2/1 1 16 11/4 (-1/1,1/0) 0 32 14/5 0/1 1 16 31/11 (1/2,2/3) 0 32 48/17 1/1 2 2 17/6 (0/1,1/1) 0 32 3/1 (1/1,1/0) 0 32 22/7 2/1 1 16 19/6 (3/1,1/0) 0 32 16/5 1/0 5 2 13/4 (-2/1,1/0) 0 32 23/7 (0/1,1/0) 0 32 56/17 1/0 1 4 33/10 (-1/1,1/0) 0 32 43/13 (6/1,1/0) 0 32 10/3 -2/1 1 16 37/11 (-5/4,-1/1) 0 32 64/19 -1/1 7 1 27/8 (-1/1,-2/3) 0 32 44/13 -1/1 1 8 17/5 (-1/1,1/0) 0 32 41/12 (-1/1,0/1) 0 32 65/19 (2/1,1/0) 0 32 89/26 (-2/1,-1/1) 0 32 24/7 -1/1 2 4 7/2 (-1/2,0/1) 0 32 32/9 0/1 10 1 25/7 (0/1,1/8) 0 32 68/19 1/5 1 8 43/12 (0/1,1/4) 0 32 18/5 0/1 1 16 65/18 (0/1,1/4) 0 32 112/31 1/4 1 2 47/13 (1/4,1/3) 0 32 29/8 (1/3,1/2) 0 32 11/3 (1/2,2/3) 0 32 37/10 (1/1,2/1) 0 32 63/17 (-4/1,1/0) 0 32 26/7 0/1 1 16 93/25 (1/2,1/1) 0 32 160/43 1/1 1 1 67/18 (0/1,1/1) 0 32 41/11 (0/1,1/2) 0 32 15/4 (2/3,1/1) 0 32 64/17 1/1 13 1 49/13 (1/1,11/10) 0 32 34/9 4/3 1 16 19/5 (2/1,1/0) 0 32 23/6 (1/1,2/1) 0 32 4/1 1/0 1 8 21/5 (-2/1,-3/2) 0 32 17/4 (-4/3,-1/1) 0 32 64/15 -1/1 15 1 47/11 (-1/1,-11/12) 0 32 30/7 -4/5 1 16 13/3 (-1/2,0/1) 0 32 35/8 (-1/1,-1/2) 0 32 92/21 -1/3 1 8 57/13 (0/1,1/0) 0 32 22/5 -2/3 1 16 75/17 (-10/19,-1/2) 0 32 128/29 -1/2 17 1 53/12 (-1/2,-7/15) 0 32 31/7 (-1/2,-2/5) 0 32 9/2 (-1/4,0/1) 0 32 32/7 0/1 14 1 23/5 (0/1,1/10) 0 32 60/13 1/7 1 8 157/34 (3/19,1/6) 0 32 97/21 (1/6,6/35) 0 32 37/8 (0/1,1/5) 0 32 14/3 0/1 1 16 33/7 (2/5,1/2) 0 32 19/4 (1/2,1/1) 0 32 5/1 (1/1,1/0) 0 32 26/5 0/1 1 16 21/4 (2/1,1/0) 0 32 16/3 1/0 3 2 11/2 (-1/1,1/0) 0 32 17/3 (-1/1,-1/2) 0 32 23/4 (-1/1,0/1) 0 32 29/5 (-1/1,1/0) 0 32 64/11 -1/1 2 1 35/6 (-1/1,-1/2) 0 32 6/1 0/1 1 16 31/5 (-1/2,-4/9) 0 32 25/4 (-1/3,0/1) 0 32 44/7 -1/4 1 8 19/3 (-1/6,0/1) 0 32 32/5 0/1 10 1 13/2 (0/1,1/4) 0 32 20/3 1/1 1 8 27/4 (1/1,2/1) 0 32 7/1 (0/1,1/0) 0 32 22/3 2/3 1 16 15/2 (0/1,1/1) 0 32 23/3 (2/1,1/0) 0 32 8/1 1/0 1 4 9/1 (-1/2,0/1) 0 32 10/1 0/1 1 16 11/1 (0/1,1/2) 0 32 1/0 (0/1,1/0) 0 32 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Reflection Matrix(257,-288,58,-65) (1/1,9/8) -> (31/7,9/2) Glide Reflection Matrix(511,-576,228,-257) (9/8,17/15) -> (47/21,9/4) Hyperbolic Matrix(959,-1088,394,-447) (17/15,8/7) -> (17/7,56/23) Glide Reflection Matrix(193,-224,56,-65) (8/7,7/6) -> (24/7,7/2) Glide Reflection Matrix(191,-224,110,-129) (7/6,6/5) -> (26/15,7/4) Hyperbolic Matrix(1535,-1856,636,-769) (6/5,23/19) -> (41/17,70/29) Hyperbolic Matrix(897,-1088,634,-769) (23/19,17/14) -> (41/29,17/12) Glide Reflection Matrix(447,-544,106,-129) (17/14,11/9) -> (21/5,17/4) Hyperbolic Matrix(575,-704,156,-191) (11/9,27/22) -> (11/3,37/10) Glide Reflection Matrix(703,-864,572,-703) (27/22,16/13) -> (27/22,16/13) Reflection Matrix(129,-160,104,-129) (16/13,5/4) -> (16/13,5/4) Reflection Matrix(127,-160,50,-63) (5/4,14/11) -> (5/2,18/7) Glide Reflection Matrix(577,-736,352,-449) (14/11,23/18) -> (18/11,23/14) Glide Reflection Matrix(1151,-1472,900,-1151) (23/18,32/25) -> (23/18,32/25) Reflection Matrix(449,-576,350,-449) (32/25,9/7) -> (32/25,9/7) Reflection Matrix(321,-416,98,-127) (9/7,13/10) -> (13/4,23/7) Hyperbolic Matrix(319,-416,148,-193) (13/10,17/13) -> (15/7,13/6) Hyperbolic Matrix(1857,-2432,830,-1087) (17/13,38/29) -> (38/17,47/21) Hyperbolic Matrix(1025,-1344,196,-257) (38/29,21/16) -> (26/5,21/4) Glide Reflection Matrix(1217,-1600,340,-447) (21/16,4/3) -> (68/19,43/12) Hyperbolic Matrix(1089,-1472,236,-319) (4/3,23/17) -> (23/5,60/13) Hyperbolic Matrix(449,-608,48,-65) (23/17,42/31) -> (9/1,10/1) Glide Reflection Matrix(897,-1216,284,-385) (42/31,19/14) -> (22/7,19/6) Glide Reflection Matrix(895,-1216,566,-769) (19/14,15/11) -> (49/31,19/12) Hyperbolic Matrix(257,-352,46,-63) (15/11,11/8) -> (11/2,17/3) Hyperbolic Matrix(255,-352,92,-127) (11/8,18/13) -> (11/4,14/5) Glide Reflection Matrix(577,-800,370,-513) (18/13,25/18) -> (14/9,25/16) Glide Reflection Matrix(1151,-1600,828,-1151) (25/18,32/23) -> (25/18,32/23) Reflection Matrix(321,-448,230,-321) (32/23,7/5) -> (32/23,7/5) Reflection Matrix(319,-448,136,-191) (7/5,31/22) -> (7/3,33/14) Glide Reflection Matrix(1793,-2528,544,-767) (31/22,24/17) -> (56/17,33/10) Hyperbolic Matrix(385,-544,46,-65) (24/17,41/29) -> (8/1,9/1) Glide Reflection Matrix(383,-544,226,-321) (17/12,10/7) -> (22/13,17/10) Hyperbolic Matrix(1919,-2752,804,-1153) (10/7,33/23) -> (31/13,74/31) Hyperbolic Matrix(1983,-2848,580,-833) (33/23,23/16) -> (41/12,65/19) Hyperbolic Matrix(511,-736,134,-193) (23/16,13/9) -> (19/5,23/6) Hyperbolic Matrix(575,-832,132,-191) (13/9,29/20) -> (13/3,35/8) Glide Reflection Matrix(639,-928,440,-639) (29/20,16/11) -> (29/20,16/11) Reflection Matrix(65,-96,44,-65) (16/11,3/2) -> (16/11,3/2) Reflection Matrix(1087,-1664,292,-447) (3/2,23/15) -> (67/18,41/11) Glide Reflection Matrix(1855,-2848,708,-1087) (23/15,20/13) -> (55/21,76/29) Glide Reflection Matrix(705,-1088,208,-321) (20/13,17/11) -> (44/13,17/5) Glide Reflection Matrix(639,-992,248,-385) (17/11,14/9) -> (18/7,49/19) Hyperbolic Matrix(2497,-3904,1024,-1601) (25/16,61/39) -> (39/16,61/25) Glide Reflection Matrix(2495,-3904,1514,-2369) (61/39,36/23) -> (28/17,61/37) Hyperbolic Matrix(511,-800,122,-191) (36/23,11/7) -> (4/1,21/5) Glide Reflection Matrix(1665,-2624,974,-1535) (11/7,41/26) -> (41/24,53/31) Hyperbolic Matrix(1217,-1920,528,-833) (41/26,30/19) -> (23/10,30/13) Glide Reflection Matrix(1985,-3136,526,-831) (30/19,49/31) -> (49/13,34/9) Hyperbolic Matrix(383,-608,80,-127) (19/12,27/17) -> (19/4,5/1) Glide Reflection Matrix(321,-512,200,-319) (27/17,8/5) -> (8/5,37/23) Parabolic Matrix(3201,-5152,1790,-2881) (37/23,66/41) -> (59/33,34/19) Glide Reflection Matrix(10177,-16384,3776,-6079) (66/41,95/59) -> (159/59,62/23) Hyperbolic Matrix(11009,-17728,2384,-3839) (95/59,29/18) -> (157/34,97/21) Hyperbolic Matrix(575,-928,158,-255) (29/18,21/13) -> (29/8,11/3) Glide Reflection Matrix(257,-416,118,-191) (21/13,13/8) -> (13/6,11/5) Hyperbolic Matrix(511,-832,78,-127) (13/8,44/27) -> (13/2,20/3) Glide Reflection Matrix(1217,-1984,668,-1089) (44/27,31/19) -> (20/11,31/17) Glide Reflection Matrix(2431,-3968,862,-1407) (31/19,80/49) -> (31/11,48/17) Glide Reflection Matrix(4801,-7840,2940,-4801) (80/49,49/30) -> (80/49,49/30) Reflection Matrix(2369,-3872,900,-1471) (49/30,18/11) -> (50/19,79/30) Hyperbolic Matrix(447,-736,116,-191) (23/14,28/17) -> (23/6,4/1) Glide Reflection Matrix(4289,-7072,1592,-2625) (61/37,33/20) -> (35/13,97/36) Glide Reflection Matrix(1279,-2112,542,-895) (33/20,5/3) -> (33/14,59/25) Glide Reflection Matrix(511,-864,152,-257) (5/3,22/13) -> (10/3,37/11) Hyperbolic Matrix(319,-544,112,-191) (17/10,29/17) -> (17/6,3/1) Glide Reflection Matrix(1087,-1856,188,-321) (29/17,41/24) -> (23/4,29/5) Hyperbolic Matrix(449,-768,38,-65) (53/31,65/38) -> (11/1,1/0) Glide Reflection Matrix(3647,-6240,1346,-2303) (65/38,12/7) -> (65/24,84/31) Glide Reflection Matrix(577,-992,260,-447) (12/7,31/18) -> (31/14,20/9) Hyperbolic Matrix(575,-992,222,-383) (31/18,19/11) -> (31/12,13/5) Glide Reflection Matrix(961,-1664,406,-703) (19/11,26/15) -> (26/11,45/19) Hyperbolic Matrix(127,-224,72,-127) (7/4,16/9) -> (7/4,16/9) Reflection Matrix(449,-800,252,-449) (16/9,25/14) -> (16/9,25/14) Reflection Matrix(1791,-3200,286,-511) (25/14,84/47) -> (25/4,44/7) Glide Reflection Matrix(3777,-6752,1540,-2753) (84/47,59/33) -> (76/31,27/11) Glide Reflection Matrix(1215,-2176,464,-831) (34/19,9/5) -> (34/13,55/21) Glide Reflection Matrix(511,-928,212,-385) (9/5,20/11) -> (12/5,41/17) Hyperbolic Matrix(1087,-1984,246,-449) (31/17,11/6) -> (53/12,31/7) Hyperbolic Matrix(191,-352,70,-129) (11/6,2/1) -> (30/11,11/4) Hyperbolic Matrix(257,-544,60,-127) (2/1,15/7) -> (47/11,30/7) Hyperbolic Matrix(767,-1696,232,-513) (11/5,31/14) -> (33/10,43/13) Hyperbolic Matrix(2113,-4704,862,-1919) (20/9,49/22) -> (49/20,76/31) Hyperbolic Matrix(1665,-3712,632,-1409) (49/22,29/13) -> (79/30,29/11) Glide Reflection Matrix(1919,-4288,516,-1153) (29/13,38/17) -> (26/7,93/25) Hyperbolic Matrix(127,-288,56,-127) (9/4,16/7) -> (9/4,16/7) Reflection Matrix(321,-736,140,-321) (16/7,23/10) -> (16/7,23/10) Reflection Matrix(1343,-3104,498,-1151) (30/13,37/16) -> (62/23,27/10) Glide Reflection Matrix(193,-448,28,-65) (37/16,7/3) -> (27/4,7/1) Glide Reflection Matrix(705,-1664,136,-321) (59/25,26/11) -> (5/1,26/5) Glide Reflection Matrix(2431,-5760,1026,-2431) (45/19,64/27) -> (45/19,64/27) Reflection Matrix(1025,-2432,432,-1025) (64/27,19/8) -> (64/27,19/8) Reflection Matrix(511,-1216,108,-257) (19/8,31/13) -> (33/7,19/4) Hyperbolic Matrix(831,-1984,80,-191) (74/31,117/49) -> (10/1,11/1) Glide Reflection Matrix(15679,-37440,6566,-15679) (117/49,160/67) -> (117/49,160/67) Reflection Matrix(5761,-13760,2412,-5761) (160/67,43/18) -> (160/67,43/18) Reflection Matrix(1473,-3520,562,-1343) (43/18,12/5) -> (76/29,21/8) Hyperbolic Matrix(1087,-2624,186,-449) (70/29,29/12) -> (35/6,6/1) Hyperbolic Matrix(767,-1856,212,-513) (29/12,17/7) -> (47/13,29/8) Hyperbolic Matrix(2431,-5920,710,-1729) (56/23,39/16) -> (89/26,24/7) Hyperbolic Matrix(577,-1408,184,-449) (61/25,22/9) -> (3/1,22/7) Glide Reflection Matrix(575,-1408,78,-191) (22/9,49/20) -> (22/3,15/2) Glide Reflection Matrix(703,-1728,286,-703) (27/11,32/13) -> (27/11,32/13) Reflection Matrix(129,-320,52,-129) (32/13,5/2) -> (32/13,5/2) Reflection Matrix(3585,-9248,992,-2559) (49/19,80/31) -> (112/31,47/13) Hyperbolic Matrix(1921,-4960,744,-1921) (80/31,31/12) -> (80/31,31/12) Reflection Matrix(319,-832,74,-193) (13/5,34/13) -> (30/7,13/3) Hyperbolic Matrix(961,-2528,268,-705) (21/8,50/19) -> (43/12,18/5) Glide Reflection Matrix(193,-512,72,-191) (29/11,8/3) -> (8/3,35/13) Parabolic Matrix(18431,-49664,6840,-18431) (97/36,256/95) -> (97/36,256/95) Reflection Matrix(30209,-81408,11210,-30209) (256/95,159/59) -> (256/95,159/59) Reflection Matrix(769,-2080,166,-449) (27/10,46/17) -> (37/8,14/3) Glide Reflection Matrix(1537,-4160,426,-1153) (46/17,65/24) -> (18/5,65/18) Glide Reflection Matrix(897,-2432,142,-385) (84/31,19/7) -> (44/7,19/3) Glide Reflection Matrix(447,-1216,118,-321) (19/7,30/11) -> (34/9,19/5) Hyperbolic Matrix(319,-896,68,-191) (14/5,31/11) -> (14/3,33/7) Glide Reflection Matrix(577,-1632,204,-577) (48/17,17/6) -> (48/17,17/6) Reflection Matrix(191,-608,60,-191) (19/6,16/5) -> (19/6,16/5) Reflection Matrix(129,-416,40,-129) (16/5,13/4) -> (16/5,13/4) Reflection Matrix(447,-1472,58,-191) (23/7,56/17) -> (23/3,8/1) Glide Reflection Matrix(511,-1696,116,-385) (43/13,10/3) -> (22/5,75/17) Hyperbolic Matrix(1407,-4736,418,-1407) (37/11,64/19) -> (37/11,64/19) Reflection Matrix(1025,-3456,304,-1025) (64/19,27/8) -> (64/19,27/8) Reflection Matrix(511,-1728,76,-257) (27/8,44/13) -> (20/3,27/4) Hyperbolic Matrix(319,-1088,56,-191) (17/5,41/12) -> (17/3,23/4) Glide Reflection Matrix(1281,-4384,206,-705) (65/19,89/26) -> (31/5,25/4) Glide Reflection Matrix(127,-448,36,-127) (7/2,32/9) -> (7/2,32/9) Reflection Matrix(449,-1600,126,-449) (32/9,25/7) -> (32/9,25/7) Reflection Matrix(1727,-6176,394,-1409) (25/7,68/19) -> (92/21,57/13) Hyperbolic Matrix(4031,-14560,1116,-4031) (65/18,112/31) -> (65/18,112/31) Reflection Matrix(1599,-5920,346,-1281) (37/10,63/17) -> (97/21,37/8) Hyperbolic Matrix(319,-1184,52,-193) (63/17,26/7) -> (6/1,31/5) Hyperbolic Matrix(7999,-29760,2150,-7999) (93/25,160/43) -> (93/25,160/43) Reflection Matrix(5761,-21440,1548,-5761) (160/43,67/18) -> (160/43,67/18) Reflection Matrix(257,-960,34,-127) (41/11,15/4) -> (15/2,23/3) Hyperbolic Matrix(511,-1920,136,-511) (15/4,64/17) -> (15/4,64/17) Reflection Matrix(1665,-6272,442,-1665) (64/17,49/13) -> (64/17,49/13) Reflection Matrix(511,-2176,120,-511) (17/4,64/15) -> (17/4,64/15) Reflection Matrix(1409,-6016,330,-1409) (64/15,47/11) -> (64/15,47/11) Reflection Matrix(3777,-16544,818,-3583) (35/8,92/21) -> (60/13,157/34) Hyperbolic Matrix(321,-1408,44,-193) (57/13,22/5) -> (7/1,22/3) Glide Reflection Matrix(4351,-19200,986,-4351) (75/17,128/29) -> (75/17,128/29) Reflection Matrix(3073,-13568,696,-3073) (128/29,53/12) -> (128/29,53/12) Reflection Matrix(127,-576,28,-127) (9/2,32/7) -> (9/2,32/7) Reflection Matrix(321,-1472,70,-321) (32/7,23/5) -> (32/7,23/5) Reflection Matrix(127,-672,24,-127) (21/4,16/3) -> (21/4,16/3) Reflection Matrix(65,-352,12,-65) (16/3,11/2) -> (16/3,11/2) Reflection Matrix(639,-3712,110,-639) (29/5,64/11) -> (29/5,64/11) Reflection Matrix(769,-4480,132,-769) (64/11,35/6) -> (64/11,35/6) Reflection Matrix(191,-1216,30,-191) (19/3,32/5) -> (19/3,32/5) Reflection Matrix(129,-832,20,-129) (32/5,13/2) -> (32/5,13/2) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Matrix(1,0,2,-1) -> Matrix(1,0,4,-1) (0/1,1/1) -> (0/1,1/2) Matrix(257,-288,58,-65) -> Matrix(3,-2,-8,5) Matrix(511,-576,228,-257) -> Matrix(3,-2,-4,3) Matrix(959,-1088,394,-447) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(193,-224,56,-65) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(191,-224,110,-129) -> Matrix(1,0,-2,1) 0/1 Matrix(1535,-1856,636,-769) -> Matrix(1,0,0,1) Matrix(897,-1088,634,-769) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(447,-544,106,-129) -> Matrix(1,0,-2,1) 0/1 Matrix(575,-704,156,-191) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(703,-864,572,-703) -> Matrix(13,-12,14,-13) (27/22,16/13) -> (6/7,1/1) Matrix(129,-160,104,-129) -> Matrix(1,0,2,-1) (16/13,5/4) -> (0/1,1/1) Matrix(127,-160,50,-63) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(577,-736,352,-449) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1151,-1472,900,-1151) -> Matrix(-1,0,2,1) (23/18,32/25) -> (-1/1,0/1) Matrix(449,-576,350,-449) -> Matrix(1,0,4,-1) (32/25,9/7) -> (0/1,1/2) Matrix(321,-416,98,-127) -> Matrix(1,0,-2,1) 0/1 Matrix(319,-416,148,-193) -> Matrix(5,-4,4,-3) 1/1 Matrix(1857,-2432,830,-1087) -> Matrix(1,-2,0,1) 1/0 Matrix(1025,-1344,196,-257) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1217,-1600,340,-447) -> Matrix(1,0,4,1) 0/1 Matrix(1089,-1472,236,-319) -> Matrix(1,0,6,1) 0/1 Matrix(449,-608,48,-65) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(897,-1216,284,-385) -> Matrix(5,-2,2,-1) Matrix(895,-1216,566,-769) -> Matrix(3,-2,2,-1) 1/1 Matrix(257,-352,46,-63) -> Matrix(1,-2,0,1) 1/0 Matrix(255,-352,92,-127) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(577,-800,370,-513) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1151,-1600,828,-1151) -> Matrix(-1,0,6,1) (25/18,32/23) -> (-1/3,0/1) Matrix(321,-448,230,-321) -> Matrix(1,0,4,-1) (32/23,7/5) -> (0/1,1/2) Matrix(319,-448,136,-191) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1793,-2528,544,-767) -> Matrix(3,-2,2,-1) 1/1 Matrix(385,-544,46,-65) -> Matrix(3,-2,-2,1) Matrix(383,-544,226,-321) -> Matrix(3,-2,2,-1) 1/1 Matrix(1919,-2752,804,-1153) -> Matrix(5,-2,8,-3) 1/2 Matrix(1983,-2848,580,-833) -> Matrix(1,0,-2,1) 0/1 Matrix(511,-736,134,-193) -> Matrix(3,-2,2,-1) 1/1 Matrix(575,-832,132,-191) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(639,-928,440,-639) -> Matrix(3,-2,4,-3) (29/20,16/11) -> (1/2,1/1) Matrix(65,-96,44,-65) -> Matrix(1,0,2,-1) (16/11,3/2) -> (0/1,1/1) Matrix(1087,-1664,292,-447) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1855,-2848,708,-1087) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(705,-1088,208,-321) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(639,-992,248,-385) -> Matrix(1,2,0,1) 1/0 Matrix(2497,-3904,1024,-1601) -> Matrix(7,-2,10,-3) Matrix(2495,-3904,1514,-2369) -> Matrix(3,-2,8,-5) 1/2 Matrix(511,-800,122,-191) -> Matrix(3,-2,-2,1) Matrix(1665,-2624,974,-1535) -> Matrix(3,-2,2,-1) 1/1 Matrix(1217,-1920,528,-833) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1985,-3136,526,-831) -> Matrix(7,-6,6,-5) 1/1 Matrix(383,-608,80,-127) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(321,-512,200,-319) -> Matrix(1,0,2,1) 0/1 Matrix(3201,-5152,1790,-2881) -> Matrix(5,-2,22,-9) Matrix(10177,-16384,3776,-6079) -> Matrix(17,-8,-2,1) Matrix(11009,-17728,2384,-3839) -> Matrix(7,-4,44,-25) Matrix(575,-928,158,-255) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(257,-416,118,-191) -> Matrix(3,-2,2,-1) 1/1 Matrix(511,-832,78,-127) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1217,-1984,668,-1089) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(2431,-3968,862,-1407) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(4801,-7840,2940,-4801) -> Matrix(1,0,2,-1) (80/49,49/30) -> (0/1,1/1) Matrix(2369,-3872,900,-1471) -> Matrix(1,2,0,1) 1/0 Matrix(447,-736,116,-191) -> Matrix(5,-2,2,-1) Matrix(4289,-7072,1592,-2625) -> Matrix(9,-4,2,-1) Matrix(1279,-2112,542,-895) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(511,-864,152,-257) -> Matrix(3,-4,-2,3) Matrix(319,-544,112,-191) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1087,-1856,188,-321) -> Matrix(1,-2,0,1) 1/0 Matrix(449,-768,38,-65) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(3647,-6240,1346,-2303) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(577,-992,260,-447) -> Matrix(1,-2,0,1) 1/0 Matrix(575,-992,222,-383) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(961,-1664,406,-703) -> Matrix(1,2,2,5) Matrix(127,-224,72,-127) -> Matrix(1,0,0,-1) (7/4,16/9) -> (0/1,1/0) Matrix(449,-800,252,-449) -> Matrix(1,0,10,-1) (16/9,25/14) -> (0/1,1/5) Matrix(1791,-3200,286,-511) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(3777,-6752,1540,-2753) -> Matrix(41,-8,46,-9) Matrix(1215,-2176,464,-831) -> Matrix(5,-2,2,-1) Matrix(511,-928,212,-385) -> Matrix(5,-2,8,-3) 1/2 Matrix(1087,-1984,246,-449) -> Matrix(9,-4,-20,9) Matrix(191,-352,70,-129) -> Matrix(3,-2,2,-1) 1/1 Matrix(257,-544,60,-127) -> Matrix(5,-4,-6,5) Matrix(767,-1696,232,-513) -> Matrix(1,2,0,1) 1/0 Matrix(2113,-4704,862,-1919) -> Matrix(7,6,8,7) Matrix(1665,-3712,632,-1409) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1919,-4288,516,-1153) -> Matrix(1,0,2,1) 0/1 Matrix(127,-288,56,-127) -> Matrix(1,0,0,-1) (9/4,16/7) -> (0/1,1/0) Matrix(321,-736,140,-321) -> Matrix(1,0,6,-1) (16/7,23/10) -> (0/1,1/3) Matrix(1343,-3104,498,-1151) -> Matrix(3,-2,-2,1) Matrix(193,-448,28,-65) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(705,-1664,136,-321) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(2431,-5760,1026,-2431) -> Matrix(17,-8,36,-17) (45/19,64/27) -> (4/9,1/2) Matrix(1025,-2432,432,-1025) -> Matrix(11,-6,20,-11) (64/27,19/8) -> (1/2,3/5) Matrix(511,-1216,108,-257) -> Matrix(3,-2,8,-5) 1/2 Matrix(831,-1984,80,-191) -> Matrix(3,-2,-8,5) Matrix(15679,-37440,6566,-15679) -> Matrix(55,-36,84,-55) (117/49,160/67) -> (9/14,2/3) Matrix(5761,-13760,2412,-5761) -> Matrix(17,-12,24,-17) (160/67,43/18) -> (2/3,3/4) Matrix(1473,-3520,562,-1343) -> Matrix(5,-4,4,-3) 1/1 Matrix(1087,-2624,186,-449) -> Matrix(3,-2,-4,3) Matrix(767,-1856,212,-513) -> Matrix(3,-2,8,-5) 1/2 Matrix(2431,-5920,710,-1729) -> Matrix(1,0,-2,1) 0/1 Matrix(577,-1408,184,-449) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(575,-1408,78,-191) -> Matrix(7,-6,8,-7) *** -> (3/4,1/1) Matrix(703,-1728,286,-703) -> Matrix(23,-22,24,-23) (27/11,32/13) -> (11/12,1/1) Matrix(129,-320,52,-129) -> Matrix(3,-4,2,-3) (32/13,5/2) -> (1/1,2/1) Matrix(3585,-9248,992,-2559) -> Matrix(1,-4,4,-15) Matrix(1921,-4960,744,-1921) -> Matrix(-1,6,0,1) (80/31,31/12) -> (3/1,1/0) Matrix(319,-832,74,-193) -> Matrix(1,0,-2,1) 0/1 Matrix(961,-2528,268,-705) -> Matrix(1,-2,4,-9) Matrix(193,-512,72,-191) -> Matrix(1,-2,0,1) 1/0 Matrix(18431,-49664,6840,-18431) -> Matrix(-1,18,0,1) (97/36,256/95) -> (9/1,1/0) Matrix(30209,-81408,11210,-30209) -> Matrix(1,36,0,-1) (256/95,159/59) -> (-18/1,1/0) Matrix(769,-2080,166,-449) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1537,-4160,426,-1153) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(897,-2432,142,-385) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(447,-1216,118,-321) -> Matrix(3,-2,2,-1) 1/1 Matrix(319,-896,68,-191) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(577,-1632,204,-577) -> Matrix(1,0,2,-1) (48/17,17/6) -> (0/1,1/1) Matrix(191,-608,60,-191) -> Matrix(-1,6,0,1) (19/6,16/5) -> (3/1,1/0) Matrix(129,-416,40,-129) -> Matrix(1,4,0,-1) (16/5,13/4) -> (-2/1,1/0) Matrix(447,-1472,58,-191) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(511,-1696,116,-385) -> Matrix(1,4,-2,-7) Matrix(1407,-4736,418,-1407) -> Matrix(9,10,-8,-9) (37/11,64/19) -> (-5/4,-1/1) Matrix(1025,-3456,304,-1025) -> Matrix(5,4,-6,-5) (64/19,27/8) -> (-1/1,-2/3) Matrix(511,-1728,76,-257) -> Matrix(1,0,2,1) 0/1 Matrix(319,-1088,56,-191) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1281,-4384,206,-705) -> Matrix(1,2,-2,-5) Matrix(127,-448,36,-127) -> Matrix(-1,0,4,1) (7/2,32/9) -> (-1/2,0/1) Matrix(449,-1600,126,-449) -> Matrix(1,0,16,-1) (32/9,25/7) -> (0/1,1/8) Matrix(1727,-6176,394,-1409) -> Matrix(1,0,-8,1) 0/1 Matrix(4031,-14560,1116,-4031) -> Matrix(1,0,8,-1) (65/18,112/31) -> (0/1,1/4) Matrix(1599,-5920,346,-1281) -> Matrix(1,-2,6,-11) Matrix(319,-1184,52,-193) -> Matrix(1,0,-2,1) 0/1 Matrix(7999,-29760,2150,-7999) -> Matrix(3,-2,4,-3) (93/25,160/43) -> (1/2,1/1) Matrix(5761,-21440,1548,-5761) -> Matrix(1,0,2,-1) (160/43,67/18) -> (0/1,1/1) Matrix(257,-960,34,-127) -> Matrix(3,-2,2,-1) 1/1 Matrix(511,-1920,136,-511) -> Matrix(5,-4,6,-5) (15/4,64/17) -> (2/3,1/1) Matrix(1665,-6272,442,-1665) -> Matrix(21,-22,20,-21) (64/17,49/13) -> (1/1,11/10) Matrix(511,-2176,120,-511) -> Matrix(7,8,-6,-7) (17/4,64/15) -> (-4/3,-1/1) Matrix(1409,-6016,330,-1409) -> Matrix(23,22,-24,-23) (64/15,47/11) -> (-1/1,-11/12) Matrix(3777,-16544,818,-3583) -> Matrix(5,2,32,13) Matrix(321,-1408,44,-193) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(4351,-19200,986,-4351) -> Matrix(39,20,-76,-39) (75/17,128/29) -> (-10/19,-1/2) Matrix(3073,-13568,696,-3073) -> Matrix(29,14,-60,-29) (128/29,53/12) -> (-1/2,-7/15) Matrix(127,-576,28,-127) -> Matrix(-1,0,8,1) (9/2,32/7) -> (-1/4,0/1) Matrix(321,-1472,70,-321) -> Matrix(1,0,20,-1) (32/7,23/5) -> (0/1,1/10) Matrix(127,-672,24,-127) -> Matrix(-1,4,0,1) (21/4,16/3) -> (2/1,1/0) Matrix(65,-352,12,-65) -> Matrix(1,2,0,-1) (16/3,11/2) -> (-1/1,1/0) Matrix(639,-3712,110,-639) -> Matrix(1,2,0,-1) (29/5,64/11) -> (-1/1,1/0) Matrix(769,-4480,132,-769) -> Matrix(3,2,-4,-3) (64/11,35/6) -> (-1/1,-1/2) Matrix(191,-1216,30,-191) -> Matrix(-1,0,12,1) (19/3,32/5) -> (-1/6,0/1) Matrix(129,-832,20,-129) -> Matrix(1,0,8,-1) (32/5,13/2) -> (0/1,1/4) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.