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 -1/1 -3/7 -5/13 -1/3 -3/11 -1/5 -1/7 0/1 1/7 5/27 3/13 7/25 1/3 9/23 7/17 5/11 1/2 7/13 17/31 3/5 13/19 5/7 7/9 1/1 8/7 9/7 7/5 3/2 5/3 161/95 9/5 31/17 13/7 21/11 2/1 11/5 67/29 7/3 45/19 17/7 5/2 23/9 47/17 3/1 16/5 49/15 10/3 24/7 7/2 25/7 11/3 4/1 13/3 22/5 9/2 14/3 24/5 53/11 5/1 16/3 27/5 11/2 6/1 13/2 20/3 7/1 22/3 8/1 9/1 29/3 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/1 -6/13 2/1 1/0 -5/11 -1/1 1/1 -14/31 1/2 1/1 -9/20 1/1 -4/9 1/1 1/0 -7/16 -3/1 -10/23 -2/1 1/0 -13/30 -1/1 -16/37 -1/2 0/1 -3/7 0/1 -17/40 1/3 -14/33 1/2 1/1 -11/26 1/1 -8/19 1/1 1/0 -5/12 -1/1 -17/41 1/0 -12/29 -1/1 1/0 -7/17 -1/1 -1/3 -23/56 -1/1 -16/39 -2/3 -1/2 -9/22 -1/3 -2/5 0/1 1/1 -11/28 1/1 -9/23 -1/1 1/1 -7/18 -1/1 -19/49 -3/1 -1/1 -31/80 -1/1 -12/31 -1/1 -1/2 -5/13 0/1 -13/34 1/5 -8/21 0/1 1/2 -19/50 1/3 -30/79 1/3 4/11 -11/29 1/3 3/7 -3/8 1/1 -13/35 1/1 5/3 -10/27 1/1 1/0 -7/19 1/0 -11/30 3/1 -15/41 -3/1 -1/1 -4/11 0/1 1/0 -5/14 1/1 -11/31 0/1 -6/17 1/2 1/1 -1/3 -1/1 1/1 -7/22 1/1 -6/19 3/2 2/1 -5/16 3/1 -9/29 1/0 -13/42 1/1 -17/55 1/1 3/1 -4/13 2/1 1/0 -3/10 1/1 -11/37 1/1 3/1 -19/64 7/1 -8/27 -3/1 1/0 -13/44 -1/1 -31/105 -1/1 -1/3 -18/61 0/1 1/0 -5/17 0/1 -17/58 -1/1 -12/41 0/1 1/2 -7/24 1/1 -16/55 2/1 1/0 -9/31 -1/1 1/1 -11/38 1/1 -2/7 1/1 1/0 -5/18 -1/1 -13/47 1/1 5/3 -8/29 2/1 1/0 -11/40 3/1 -3/11 1/0 -13/48 -3/1 -10/37 -3/1 -2/1 -7/26 -1/1 -11/41 -1/1 -1/3 -4/15 -1/1 1/0 -1/4 1/1 -4/17 -2/1 1/0 -7/30 -3/1 -10/43 -1/1 1/0 -3/13 -3/1 -1/1 -11/48 -1/1 -8/35 -1/1 -2/3 -5/22 -1/1 -2/9 -1/2 0/1 -7/32 1/7 -5/23 1/3 1/1 -3/14 1/1 -7/33 1/3 1/1 -11/52 1/3 -4/19 2/3 1/1 -13/62 1/1 -9/43 1/1 9/7 -5/24 1/1 -1/5 1/0 -4/21 -3/2 -1/1 -11/58 -1/1 -7/37 -1/1 -5/7 -3/16 -1/3 -5/27 -1/1 1/1 -2/11 -1/2 0/1 -5/28 1/5 -3/17 1/3 1/1 -1/6 1/1 -2/13 -1/1 1/0 -3/20 -1/1 -1/7 -1/1 1/1 -4/29 -1/2 0/1 -3/22 -1/3 -2/15 0/1 1/2 -1/8 -1/1 -2/17 0/1 1/1 -1/9 1/0 0/1 0/1 1/0 1/10 -1/1 2/19 0/1 1/2 1/9 -1/1 1/1 1/8 1/1 1/7 1/0 2/13 -1/1 0/1 5/32 -1/1 3/19 -1/1 -1/3 1/6 1/1 3/17 0/1 2/11 -1/2 0/1 5/27 0/1 8/43 0/1 1/8 3/16 1/3 7/37 1/2 4/21 0/1 1/2 1/5 -1/1 1/1 2/9 1/1 1/0 5/22 3/1 3/13 1/0 7/30 -3/1 4/17 -2/1 1/0 9/38 -1/1 5/21 -1/1 1/1 1/4 -1/1 5/19 0/1 4/15 1/1 1/0 3/11 -1/1 -1/3 11/40 -1/1 8/29 -1/3 0/1 5/18 -1/5 7/25 0/1 9/32 1/9 2/7 0/1 1/2 7/24 1/1 5/17 -1/1 1/1 13/44 -1/3 8/27 -1/2 0/1 3/10 1/3 4/13 1/1 3/2 1/3 1/0 5/14 -1/1 4/11 -1/1 -2/3 15/41 -1/2 11/30 -1/3 18/49 -1/1 0/1 7/19 -1/1 -1/3 24/65 0/1 1/0 17/46 -1/1 10/27 -1/1 0/1 3/8 -1/1 11/29 0/1 19/50 -1/1 8/21 -1/2 0/1 5/13 -1/1 -1/3 17/44 -1/3 12/31 -1/4 0/1 7/18 -1/7 9/23 0/1 11/28 1/11 2/5 0/1 1/2 9/22 1/1 16/39 2/3 3/4 7/17 1/1 12/29 0/1 1/0 17/41 1/3 1/1 5/12 1/1 18/43 0/1 1/1 13/31 0/1 21/50 1/3 8/19 2/3 1/1 3/7 1/1 3/1 4/9 2/1 1/0 9/20 5/1 5/11 1/0 11/24 -5/1 6/13 -3/1 1/0 13/28 -1/1 7/15 -3/1 -1/1 1/2 -1/1 9/17 1/5 1/3 8/15 0/1 1/2 7/13 1/2 6/11 1/2 1/1 17/31 1/1 11/20 1/1 5/9 1/1 3/1 9/16 -1/1 4/7 1/1 1/0 7/12 1/1 31/53 1/0 24/41 2/1 1/0 17/29 1/1 3/1 27/46 7/3 37/63 2/1 10/17 2/1 3/1 3/5 1/0 14/23 -4/1 -3/1 25/41 -3/1 -1/1 36/59 -3/1 1/0 11/18 -3/1 19/31 -3/1 -7/3 27/44 -5/3 35/57 -2/1 8/13 -2/1 1/0 21/34 -3/1 13/21 -5/3 -1/1 18/29 -1/1 -3/4 5/8 1/1 17/27 1/0 29/46 1/1 41/65 -3/1 -1/1 12/19 -1/1 1/0 7/11 -1/1 1/1 9/14 -5/1 2/3 -1/1 1/0 13/19 -1/1 24/35 -1/1 -1/2 11/16 -1/1 20/29 -1/1 0/1 29/42 -1/3 9/13 -1/1 1/1 25/36 -1/1 16/23 -2/1 1/0 23/33 -1/1 30/43 0/1 1/0 37/53 -1/1 1/1 7/10 -1/1 26/37 -1/2 0/1 45/64 -1/1 19/27 -1/1 -1/3 12/17 -1/2 0/1 5/7 0/1 28/39 0/1 1/1 23/32 -1/1 18/25 0/1 1/0 13/18 1/1 21/29 1/1 5/3 8/11 3/1 1/0 11/15 -3/1 -1/1 25/34 -1/1 14/19 -1/1 1/0 31/42 -3/1 17/23 1/0 3/4 -1/1 16/21 1/1 2/1 29/38 1/1 13/17 -1/1 1/1 23/30 1/1 56/73 2/1 1/0 33/43 1/0 10/13 2/1 1/0 7/9 1/0 18/23 -6/1 1/0 11/14 -3/1 4/5 -2/1 1/0 17/21 -3/1 -1/1 30/37 -2/1 -1/1 43/53 -1/1 13/16 -1/1 35/43 -5/3 -1/1 22/27 -1/1 0/1 31/38 -1/1 9/11 1/0 5/6 -3/1 1/1 -1/1 1/1 8/7 -1/1 -6/7 7/6 -1/1 6/5 -1/1 -1/2 23/19 -3/7 -1/3 17/14 -1/3 28/23 -1/4 0/1 11/9 0/1 16/13 -1/4 0/1 5/4 -1/1 24/19 -1/2 0/1 19/15 -1/3 -1/5 71/56 -1/5 52/41 -1/4 0/1 33/26 -1/3 47/37 -1/4 61/48 -1/5 14/11 -1/4 0/1 9/7 0/1 22/17 0/1 1/4 35/27 1/5 1/3 13/10 1/1 4/3 0/1 1/0 11/8 -3/1 18/13 -1/1 1/0 25/18 -3/1 7/5 1/0 24/17 -2/1 1/0 17/12 -5/3 10/7 -1/1 1/0 3/2 -1/1 20/13 -1/1 -1/2 17/11 -1/2 31/20 -1/1 14/9 -4/7 -1/2 25/16 -7/15 11/7 -3/7 -1/3 41/26 -1/3 71/45 -3/8 101/64 -1/3 30/19 -4/11 -1/3 79/50 -1/3 49/31 -1/3 19/12 -1/3 46/29 -1/4 -1/5 27/17 0/1 35/22 -1/5 8/5 -1/2 0/1 21/13 -1/3 -3/11 13/8 -1/5 31/19 -1/3 -1/5 80/49 -1/4 0/1 49/30 -1/5 18/11 -1/4 0/1 5/3 0/1 22/13 0/1 1/4 61/36 1/5 161/95 1/4 100/59 1/4 1/3 39/23 1/5 1/3 56/33 0/1 1/4 73/43 1/4 17/10 1/3 29/17 1/5 1/3 41/24 1/3 12/7 1/2 1/1 19/11 1/1 3/1 64/37 0/1 1/1 45/26 3/1 26/15 0/1 1/0 33/19 1/0 73/42 1/1 40/23 0/1 1/0 7/4 1/1 30/17 1/2 1/1 23/13 1/0 62/35 1/1 1/0 225/127 1/0 163/92 -1/1 101/57 -1/1 1/1 39/22 1/1 55/31 -1/1 1/1 16/9 2/1 1/0 25/14 -3/1 9/5 -1/1 1/1 20/11 -1/1 1/0 31/17 1/0 42/23 -2/1 1/0 11/6 -1/1 24/13 -1/1 -2/3 37/20 -1/3 13/7 0/1 28/15 0/1 1/0 15/8 1/1 17/9 -1/1 1/1 19/10 -1/1 21/11 -1/1 2/1 -1/1 0/1 13/6 -1/5 11/5 0/1 31/14 1/13 20/9 0/1 1/8 69/31 0/1 49/22 1/9 29/13 1/7 1/5 9/4 1/3 25/11 1/2 16/7 1/2 2/3 39/17 1/1 62/27 0/1 1/0 23/10 1/1 30/13 0/1 1/0 67/29 0/1 104/45 0/1 1/6 37/16 1/3 7/3 1/3 1/1 26/11 4/5 1/1 45/19 1/1 64/27 1/1 10/9 19/8 1/1 12/5 1/1 1/0 41/17 1/1 5/3 111/46 13/7 70/29 2/1 5/2 29/12 1/1 46/19 2/1 1/0 17/7 1/0 22/9 1/1 1/0 49/20 1/1 27/11 1/1 3/1 5/2 1/1 23/9 1/0 41/16 -9/1 18/7 -4/1 1/0 31/12 -3/1 13/5 -3/1 -1/1 47/18 -1/1 81/31 -1/1 34/13 -1/1 -1/2 21/8 1/1 8/3 -1/1 1/0 19/7 -3/1 -1/1 49/18 -9/5 30/11 -2/1 -3/2 11/4 -1/1 47/17 -1/1 83/30 -1/1 36/13 -1/1 -10/11 25/9 -1/1 -7/9 14/5 -1/1 -1/2 45/16 -1/3 31/11 -1/1 -1/3 79/28 -1/1 48/17 -1/2 0/1 17/6 -1/3 20/7 -1/1 0/1 23/8 -1/1 3/1 0/1 25/8 1/1 22/7 0/1 1/0 19/6 -1/1 16/5 0/1 1/2 45/14 1/1 29/9 3/5 1/1 13/4 1/1 49/15 1/1 85/26 1/1 36/11 1/1 9/8 23/7 1/1 7/5 10/3 2/1 1/0 17/5 1/1 3/1 58/17 5/1 1/0 99/29 1/0 41/12 -1/1 24/7 1/1 1/0 31/9 1/0 38/11 0/1 1/1 7/2 3/1 25/7 1/0 43/12 -19/1 18/5 -8/1 1/0 47/13 1/0 76/21 -5/1 1/0 29/8 -5/1 11/3 -3/1 -1/1 37/10 -1/1 100/27 0/1 1/0 63/17 1/0 26/7 -1/1 1/0 15/4 -3/1 4/1 -1/1 1/0 17/4 -1/1 13/3 -1/1 35/8 -1/1 22/5 -1/1 0/1 75/17 0/1 128/29 0/1 1/0 53/12 -1/1 84/19 -1/2 0/1 31/7 -1/1 1/1 9/2 -1/1 32/7 -2/1 1/0 55/12 -1/1 78/17 -1/1 1/0 23/5 1/0 14/3 -1/1 -1/2 33/7 -1/2 19/4 -1/1 24/5 -1/4 0/1 53/11 0/1 82/17 0/1 1/14 29/6 1/5 5/1 -1/1 1/1 16/3 5/1 1/0 27/5 1/0 38/7 -15/1 1/0 11/2 -5/1 6/1 -2/1 1/0 13/2 -1/1 20/3 -2/1 -3/2 27/4 -1/1 7/1 -1/1 29/4 -1/1 22/3 -2/3 -1/2 15/2 -1/1 23/3 -1/1 -1/3 8/1 -1/2 0/1 9/1 -1/1 1/1 19/2 3/1 29/3 1/0 10/1 -3/1 1/0 1/0 -1/1 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(121,56,296,137) (-1/2,-6/13) -> (2/5,9/22) Hyperbolic Matrix(239,110,-654,-301) (-6/13,-5/11) -> (-15/41,-4/11) Hyperbolic Matrix(1403,634,582,263) (-5/11,-14/31) -> (12/5,41/17) Hyperbolic Matrix(817,368,464,209) (-14/31,-9/20) -> (7/4,30/17) Hyperbolic Matrix(233,104,56,25) (-9/20,-4/9) -> (4/1,17/4) Hyperbolic Matrix(113,50,174,77) (-4/9,-7/16) -> (9/14,2/3) Hyperbolic Matrix(225,98,-962,-419) (-7/16,-10/23) -> (-4/17,-7/30) Hyperbolic Matrix(341,148,-1076,-467) (-10/23,-13/30) -> (-7/22,-6/19) Hyperbolic Matrix(453,196,1916,829) (-13/30,-16/37) -> (4/17,9/38) Hyperbolic Matrix(1351,584,2200,951) (-16/37,-3/7) -> (35/57,8/13) Hyperbolic Matrix(1669,710,2842,1209) (-3/7,-17/40) -> (27/46,37/63) Hyperbolic Matrix(669,284,1444,613) (-17/40,-14/33) -> (6/13,13/28) Hyperbolic Matrix(1335,566,-3446,-1461) (-14/33,-11/26) -> (-31/80,-12/31) Hyperbolic Matrix(109,46,-718,-303) (-11/26,-8/19) -> (-2/13,-3/20) Hyperbolic Matrix(219,92,388,163) (-8/19,-5/12) -> (9/16,4/7) Hyperbolic Matrix(327,136,440,183) (-5/12,-17/41) -> (17/23,3/4) Hyperbolic Matrix(1531,634,326,135) (-17/41,-12/29) -> (14/3,33/7) Hyperbolic Matrix(547,226,-1474,-609) (-12/29,-7/17) -> (-13/35,-10/27) Hyperbolic Matrix(1957,804,-6628,-2723) (-7/17,-23/56) -> (-13/44,-31/105) Hyperbolic Matrix(2173,892,324,133) (-23/56,-16/39) -> (20/3,27/4) Hyperbolic Matrix(1517,622,978,401) (-16/39,-9/22) -> (31/20,14/9) Hyperbolic Matrix(109,44,52,21) (-9/22,-2/5) -> (2/1,13/6) Hyperbolic Matrix(529,208,1264,497) (-2/5,-11/28) -> (5/12,18/43) Hyperbolic Matrix(1159,454,314,123) (-11/28,-9/23) -> (11/3,37/10) Hyperbolic Matrix(947,370,366,143) (-9/23,-7/18) -> (31/12,13/5) Hyperbolic Matrix(1361,528,1776,689) (-7/18,-19/49) -> (13/17,23/30) Hyperbolic Matrix(1357,526,-6478,-2511) (-19/49,-31/80) -> (-13/62,-9/43) Hyperbolic Matrix(207,80,784,303) (-12/31,-5/13) -> (5/19,4/15) Hyperbolic Matrix(413,158,1090,417) (-5/13,-13/34) -> (3/8,11/29) Hyperbolic Matrix(309,118,-982,-375) (-13/34,-8/21) -> (-6/19,-5/16) Hyperbolic Matrix(1757,668,1444,549) (-8/21,-19/50) -> (17/14,28/23) Hyperbolic Matrix(7741,2940,4900,1861) (-19/50,-30/79) -> (30/19,79/50) Hyperbolic Matrix(3403,1292,4180,1587) (-30/79,-11/29) -> (35/43,22/27) Hyperbolic Matrix(929,352,256,97) (-11/29,-3/8) -> (29/8,11/3) Hyperbolic Matrix(409,152,-1784,-663) (-3/8,-13/35) -> (-3/13,-11/48) Hyperbolic Matrix(303,112,560,207) (-10/27,-7/19) -> (7/13,6/11) Hyperbolic Matrix(605,222,962,353) (-7/19,-11/30) -> (5/8,17/27) Hyperbolic Matrix(1109,406,-3734,-1367) (-11/30,-15/41) -> (-11/37,-19/64) Hyperbolic Matrix(199,72,152,55) (-4/11,-5/14) -> (13/10,4/3) Hyperbolic Matrix(597,212,-2036,-723) (-5/14,-11/31) -> (-5/17,-17/58) Hyperbolic Matrix(1885,668,1188,421) (-11/31,-6/17) -> (46/29,27/17) Hyperbolic Matrix(199,70,-742,-261) (-6/17,-1/3) -> (-11/41,-4/15) Hyperbolic Matrix(187,60,-988,-317) (-1/3,-7/22) -> (-11/58,-7/37) Hyperbolic Matrix(1113,346,1766,549) (-5/16,-9/29) -> (17/27,29/46) Hyperbolic Matrix(4171,1292,2644,819) (-9/29,-13/42) -> (41/26,71/45) Hyperbolic Matrix(1759,544,928,287) (-13/42,-17/55) -> (17/9,19/10) Hyperbolic Matrix(2131,658,3054,943) (-17/55,-4/13) -> (30/43,37/53) Hyperbolic Matrix(183,56,232,71) (-4/13,-3/10) -> (11/14,4/5) Hyperbolic Matrix(455,136,184,55) (-3/10,-11/37) -> (27/11,5/2) Hyperbolic Matrix(2729,810,502,149) (-19/64,-8/27) -> (38/7,11/2) Hyperbolic Matrix(1635,484,956,283) (-8/27,-13/44) -> (41/24,12/7) Hyperbolic Matrix(271,80,2544,751) (-31/105,-18/61) -> (2/19,1/9) Hyperbolic Matrix(1269,374,682,201) (-18/61,-5/17) -> (13/7,28/15) Hyperbolic Matrix(5249,1538,2174,637) (-17/58,-12/41) -> (70/29,29/12) Hyperbolic Matrix(2441,714,1494,437) (-12/41,-7/24) -> (49/30,18/11) Hyperbolic Matrix(1353,394,182,53) (-7/24,-16/55) -> (22/3,15/2) Hyperbolic Matrix(3521,1024,1984,577) (-16/55,-9/31) -> (55/31,16/9) Hyperbolic Matrix(269,78,1714,497) (-9/31,-11/38) -> (5/32,3/19) Hyperbolic Matrix(989,286,1442,417) (-11/38,-2/7) -> (24/35,11/16) Hyperbolic Matrix(177,50,46,13) (-2/7,-5/18) -> (15/4,4/1) Hyperbolic Matrix(267,74,-1418,-393) (-5/18,-13/47) -> (-7/37,-3/16) Hyperbolic Matrix(1679,464,1328,367) (-13/47,-8/29) -> (24/19,19/15) Hyperbolic Matrix(973,268,2516,693) (-8/29,-11/40) -> (17/44,12/31) Hyperbolic Matrix(263,72,-968,-265) (-11/40,-3/11) -> (-3/11,-13/48) Parabolic Matrix(1841,498,2414,653) (-13/48,-10/37) -> (16/21,29/38) Hyperbolic Matrix(615,166,2234,603) (-10/37,-7/26) -> (11/40,8/29) Hyperbolic Matrix(439,118,-2102,-565) (-7/26,-11/41) -> (-9/43,-5/24) Hyperbolic Matrix(347,92,132,35) (-4/15,-1/4) -> (21/8,8/3) Hyperbolic Matrix(169,40,376,89) (-1/4,-4/17) -> (4/9,9/20) Hyperbolic Matrix(1753,408,2376,553) (-7/30,-10/43) -> (14/19,31/42) Hyperbolic Matrix(1919,446,3042,707) (-10/43,-3/13) -> (41/65,12/19) Hyperbolic Matrix(3737,856,1576,361) (-11/48,-8/35) -> (64/27,19/8) Hyperbolic Matrix(913,208,496,113) (-8/35,-5/22) -> (11/6,24/13) Hyperbolic Matrix(249,56,40,9) (-5/22,-2/9) -> (6/1,13/2) Hyperbolic Matrix(163,36,412,91) (-2/9,-7/32) -> (11/28,2/5) Hyperbolic Matrix(1229,268,2004,437) (-7/32,-5/23) -> (19/31,27/44) Hyperbolic Matrix(733,158,450,97) (-5/23,-3/14) -> (13/8,31/19) Hyperbolic Matrix(731,156,164,35) (-3/14,-7/33) -> (31/7,9/2) Hyperbolic Matrix(1379,292,732,155) (-7/33,-11/52) -> (15/8,17/9) Hyperbolic Matrix(2109,446,610,129) (-11/52,-4/19) -> (38/11,7/2) Hyperbolic Matrix(3809,800,1376,289) (-4/19,-13/62) -> (83/30,36/13) Hyperbolic Matrix(563,116,364,75) (-5/24,-1/5) -> (17/11,31/20) Hyperbolic Matrix(633,122,358,69) (-1/5,-4/21) -> (30/17,23/13) Hyperbolic Matrix(3873,736,1184,225) (-4/21,-11/58) -> (85/26,36/11) Hyperbolic Matrix(707,132,316,59) (-3/16,-5/27) -> (29/13,9/4) Hyperbolic Matrix(315,58,38,7) (-5/27,-2/11) -> (8/1,9/1) Hyperbolic Matrix(155,28,548,99) (-2/11,-5/28) -> (9/32,2/7) Hyperbolic Matrix(935,166,1594,283) (-5/28,-3/17) -> (17/29,27/46) Hyperbolic Matrix(463,80,272,47) (-3/17,-1/6) -> (17/10,29/17) Hyperbolic Matrix(77,12,340,53) (-1/6,-2/13) -> (2/9,5/22) Hyperbolic Matrix(375,56,904,135) (-3/20,-1/7) -> (17/41,5/12) Hyperbolic Matrix(1487,208,336,47) (-1/7,-4/29) -> (84/19,31/7) Hyperbolic Matrix(2077,286,1634,225) (-4/29,-3/22) -> (61/48,14/11) Hyperbolic Matrix(221,30,1186,161) (-3/22,-2/15) -> (8/43,3/16) Hyperbolic Matrix(589,78,370,49) (-2/15,-1/8) -> (35/22,8/5) Hyperbolic Matrix(653,78,946,113) (-1/8,-2/17) -> (20/29,29/42) Hyperbolic Matrix(869,100,252,29) (-2/17,-1/9) -> (31/9,38/11) Hyperbolic Matrix(431,46,178,19) (-1/9,0/1) -> (46/19,17/7) Hyperbolic Matrix(583,-56,760,-73) (0/1,1/10) -> (23/30,56/73) Hyperbolic Matrix(1743,-178,754,-77) (1/10,2/19) -> (104/45,37/16) Hyperbolic Matrix(173,-20,372,-43) (1/9,1/8) -> (13/28,7/15) Hyperbolic Matrix(397,-52,84,-11) (1/8,1/7) -> (33/7,19/4) Hyperbolic Matrix(223,-34,610,-93) (1/7,2/13) -> (4/11,15/41) Hyperbolic Matrix(2273,-352,1440,-223) (2/13,5/32) -> (101/64,30/19) Hyperbolic Matrix(1105,-176,496,-79) (3/19,1/6) -> (49/22,29/13) Hyperbolic Matrix(435,-76,1036,-181) (1/6,3/17) -> (13/31,21/50) Hyperbolic Matrix(597,-106,490,-87) (3/17,2/11) -> (28/23,11/9) Hyperbolic Matrix(271,-50,1458,-269) (2/11,5/27) -> (5/27,8/43) Parabolic Matrix(3229,-610,1858,-351) (3/16,7/37) -> (33/19,73/42) Hyperbolic Matrix(3605,-684,2124,-403) (7/37,4/21) -> (56/33,73/43) Hyperbolic Matrix(267,-52,724,-141) (4/21,1/5) -> (7/19,24/65) Hyperbolic Matrix(211,-46,78,-17) (1/5,2/9) -> (8/3,19/7) Hyperbolic Matrix(157,-36,676,-155) (5/22,3/13) -> (3/13,7/30) Parabolic Matrix(1245,-292,388,-91) (7/30,4/17) -> (16/5,45/14) Hyperbolic Matrix(1553,-368,2224,-527) (9/38,5/21) -> (37/53,7/10) Hyperbolic Matrix(1137,-272,464,-111) (5/21,1/4) -> (49/20,27/11) Hyperbolic Matrix(405,-106,1066,-279) (1/4,5/19) -> (11/29,19/50) Hyperbolic Matrix(403,-108,556,-149) (4/15,3/11) -> (21/29,8/11) Hyperbolic Matrix(1255,-344,1784,-489) (3/11,11/40) -> (45/64,19/27) Hyperbolic Matrix(853,-236,300,-83) (8/29,5/18) -> (17/6,20/7) Hyperbolic Matrix(351,-98,1250,-349) (5/18,7/25) -> (7/25,9/32) Parabolic Matrix(447,-130,1090,-317) (2/7,7/24) -> (9/22,16/39) Hyperbolic Matrix(841,-246,694,-203) (7/24,5/17) -> (23/19,17/14) Hyperbolic Matrix(889,-262,1286,-379) (5/17,13/44) -> (29/42,9/13) Hyperbolic Matrix(1481,-438,470,-139) (13/44,8/27) -> (22/7,19/6) Hyperbolic Matrix(1037,-308,468,-139) (8/27,3/10) -> (31/14,20/9) Hyperbolic Matrix(245,-74,394,-119) (3/10,4/13) -> (18/29,5/8) Hyperbolic Matrix(341,-106,74,-23) (4/13,1/3) -> (23/5,14/3) Hyperbolic Matrix(377,-134,166,-59) (1/3,5/14) -> (9/4,25/11) Hyperbolic Matrix(189,-68,164,-59) (5/14,4/11) -> (8/7,7/6) Hyperbolic Matrix(1781,-652,2412,-883) (15/41,11/30) -> (31/42,17/23) Hyperbolic Matrix(1967,-722,2738,-1005) (11/30,18/49) -> (28/39,23/32) Hyperbolic Matrix(1403,-516,1732,-637) (18/49,7/19) -> (17/21,30/37) Hyperbolic Matrix(2897,-1070,398,-147) (24/65,17/46) -> (29/4,22/3) Hyperbolic Matrix(1541,-570,538,-199) (17/46,10/27) -> (20/7,23/8) Hyperbolic Matrix(1121,-416,256,-95) (10/27,3/8) -> (35/8,22/5) Hyperbolic Matrix(3293,-1252,2596,-987) (19/50,8/21) -> (52/41,33/26) Hyperbolic Matrix(555,-212,788,-301) (8/21,5/13) -> (19/27,12/17) Hyperbolic Matrix(1709,-660,2100,-811) (5/13,17/44) -> (13/16,35/43) Hyperbolic Matrix(877,-340,276,-107) (12/31,7/18) -> (19/6,16/5) Hyperbolic Matrix(415,-162,1058,-413) (7/18,9/23) -> (9/23,11/28) Parabolic Matrix(1407,-578,2018,-829) (16/39,7/17) -> (23/33,30/43) Hyperbolic Matrix(1403,-580,612,-253) (7/17,12/29) -> (16/7,39/17) Hyperbolic Matrix(589,-244,1108,-459) (12/29,17/41) -> (9/17,8/15) Hyperbolic Matrix(1083,-454,1510,-633) (18/43,13/31) -> (5/7,28/39) Hyperbolic Matrix(4055,-1704,2344,-985) (21/50,8/19) -> (64/37,45/26) Hyperbolic Matrix(315,-134,134,-57) (8/19,3/7) -> (7/3,26/11) Hyperbolic Matrix(223,-98,66,-29) (3/7,4/9) -> (10/3,17/5) Hyperbolic Matrix(221,-100,484,-219) (9/20,5/11) -> (5/11,11/24) Parabolic Matrix(921,-424,328,-151) (11/24,6/13) -> (14/5,45/16) Hyperbolic Matrix(695,-328,392,-185) (7/15,1/2) -> (39/22,55/31) Hyperbolic Matrix(1969,-1040,816,-431) (1/2,9/17) -> (41/17,111/46) Hyperbolic Matrix(625,-334,814,-435) (8/15,7/13) -> (33/43,10/13) Hyperbolic Matrix(1945,-1064,744,-407) (6/11,17/31) -> (81/31,34/13) Hyperbolic Matrix(3429,-1882,2170,-1191) (17/31,11/20) -> (79/50,49/31) Hyperbolic Matrix(949,-524,556,-307) (11/20,5/9) -> (29/17,41/24) Hyperbolic Matrix(369,-206,206,-115) (5/9,9/16) -> (25/14,9/5) Hyperbolic Matrix(121,-70,102,-59) (4/7,7/12) -> (7/6,6/5) Hyperbolic Matrix(3797,-2220,2988,-1747) (7/12,31/53) -> (47/37,61/48) Hyperbolic Matrix(4321,-2528,5632,-3295) (31/53,24/41) -> (56/73,33/43) Hyperbolic Matrix(3591,-2104,2200,-1289) (24/41,17/29) -> (31/19,80/49) Hyperbolic Matrix(2661,-1564,604,-355) (37/63,10/17) -> (22/5,75/17) Hyperbolic Matrix(121,-72,200,-119) (10/17,3/5) -> (3/5,14/23) Parabolic Matrix(3061,-1866,1770,-1079) (14/23,25/41) -> (19/11,64/37) Hyperbolic Matrix(6401,-3904,3776,-2303) (25/41,36/59) -> (100/59,39/23) Hyperbolic Matrix(4649,-2838,1014,-619) (36/59,11/18) -> (55/12,78/17) Hyperbolic Matrix(1469,-900,932,-571) (11/18,19/31) -> (11/7,41/26) Hyperbolic Matrix(5829,-3578,2618,-1607) (27/44,35/57) -> (69/31,49/22) Hyperbolic Matrix(911,-562,1266,-781) (8/13,21/34) -> (23/32,18/25) Hyperbolic Matrix(1463,-904,1128,-697) (21/34,13/21) -> (35/27,13/10) Hyperbolic Matrix(1423,-882,434,-269) (13/21,18/29) -> (36/11,23/7) Hyperbolic Matrix(1649,-1040,176,-111) (29/46,41/65) -> (9/1,19/2) Hyperbolic Matrix(391,-248,216,-137) (12/19,7/11) -> (9/5,20/11) Hyperbolic Matrix(429,-274,274,-175) (7/11,9/14) -> (25/16,11/7) Hyperbolic Matrix(495,-338,722,-493) (2/3,13/19) -> (13/19,24/35) Parabolic Matrix(1251,-862,1534,-1057) (11/16,20/29) -> (22/27,31/38) Hyperbolic Matrix(1701,-1180,604,-419) (9/13,25/36) -> (45/16,31/11) Hyperbolic Matrix(2417,-1680,528,-367) (25/36,16/23) -> (32/7,55/12) Hyperbolic Matrix(2943,-2050,1282,-893) (16/23,23/33) -> (39/17,62/27) Hyperbolic Matrix(827,-580,452,-317) (7/10,26/37) -> (42/23,11/6) Hyperbolic Matrix(5261,-3698,3026,-2127) (26/37,45/64) -> (73/42,40/23) Hyperbolic Matrix(299,-212,244,-173) (12/17,5/7) -> (11/9,16/13) Hyperbolic Matrix(1115,-804,484,-349) (18/25,13/18) -> (23/10,30/13) Hyperbolic Matrix(1597,-1156,612,-443) (13/18,21/29) -> (13/5,47/18) Hyperbolic Matrix(295,-216,56,-41) (8/11,11/15) -> (5/1,16/3) Hyperbolic Matrix(1661,-1220,516,-379) (11/15,25/34) -> (45/14,29/9) Hyperbolic Matrix(3135,-2306,866,-637) (25/34,14/19) -> (76/21,29/8) Hyperbolic Matrix(873,-664,472,-359) (3/4,16/21) -> (24/13,37/20) Hyperbolic Matrix(4501,-3436,2540,-1939) (29/38,13/17) -> (101/57,39/22) Hyperbolic Matrix(253,-196,324,-251) (10/13,7/9) -> (7/9,18/23) Parabolic Matrix(1399,-1096,808,-633) (18/23,11/14) -> (45/26,26/15) Hyperbolic Matrix(283,-228,36,-29) (4/5,17/21) -> (23/3,8/1) Hyperbolic Matrix(883,-716,460,-373) (30/37,43/53) -> (21/11,2/1) Hyperbolic Matrix(1343,-1090,706,-573) (43/53,13/16) -> (19/10,21/11) Hyperbolic Matrix(2961,-2416,1744,-1423) (31/38,9/11) -> (73/43,17/10) Hyperbolic Matrix(317,-260,228,-187) (9/11,5/6) -> (25/18,7/5) Hyperbolic Matrix(139,-118,86,-73) (5/6,1/1) -> (21/13,13/8) Hyperbolic Matrix(211,-236,76,-85) (1/1,8/7) -> (36/13,25/9) Hyperbolic Matrix(1187,-1436,348,-421) (6/5,23/19) -> (17/5,58/17) Hyperbolic Matrix(343,-424,72,-89) (16/13,5/4) -> (19/4,24/5) Hyperbolic Matrix(397,-500,212,-267) (5/4,24/19) -> (28/15,15/8) Hyperbolic Matrix(8101,-10268,4572,-5795) (19/15,71/56) -> (163/92,101/57) Hyperbolic Matrix(9341,-11844,2116,-2683) (71/56,52/41) -> (128/29,53/12) Hyperbolic Matrix(5583,-7090,3538,-4493) (33/26,47/37) -> (71/45,101/64) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2175,-2818,1282,-1661) (22/17,35/27) -> (39/23,56/33) Hyperbolic Matrix(81,-110,14,-19) (4/3,11/8) -> (11/2,6/1) Hyperbolic Matrix(403,-556,108,-149) (11/8,18/13) -> (26/7,15/4) Hyperbolic Matrix(965,-1338,282,-391) (18/13,25/18) -> (41/12,24/7) Hyperbolic Matrix(691,-974,398,-561) (7/5,24/17) -> (26/15,33/19) Hyperbolic Matrix(1193,-1686,438,-619) (24/17,17/12) -> (49/18,30/11) Hyperbolic Matrix(555,-788,212,-301) (17/12,10/7) -> (34/13,21/8) Hyperbolic Matrix(157,-226,66,-95) (10/7,3/2) -> (19/8,12/5) Hyperbolic Matrix(681,-1046,278,-427) (3/2,20/13) -> (22/9,49/20) Hyperbolic Matrix(981,-1514,554,-855) (20/13,17/11) -> (23/13,62/35) Hyperbolic Matrix(675,-1052,188,-293) (14/9,25/16) -> (43/12,18/5) Hyperbolic Matrix(2429,-3842,930,-1471) (49/31,19/12) -> (47/18,81/31) Hyperbolic Matrix(149,-236,12,-19) (19/12,46/29) -> (10/1,1/0) Hyperbolic Matrix(915,-1454,494,-785) (27/17,35/22) -> (37/20,13/7) Hyperbolic Matrix(245,-394,74,-119) (8/5,21/13) -> (23/7,10/3) Hyperbolic Matrix(4813,-7860,1300,-2123) (80/49,49/30) -> (37/10,100/27) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(1117,-1892,356,-603) (22/13,61/36) -> (25/8,22/7) Hyperbolic Matrix(23585,-39968,13312,-22559) (61/36,161/95) -> (225/127,163/92) Hyperbolic Matrix(19165,-32482,10818,-18335) (161/95,100/59) -> (62/35,225/127) Hyperbolic Matrix(329,-566,118,-203) (12/7,19/11) -> (25/9,14/5) Hyperbolic Matrix(2009,-3496,712,-1239) (40/23,7/4) -> (79/28,48/17) Hyperbolic Matrix(621,-1106,242,-431) (16/9,25/14) -> (41/16,18/7) Hyperbolic Matrix(1135,-2066,306,-557) (20/11,31/17) -> (63/17,26/7) Hyperbolic Matrix(3149,-5746,850,-1551) (31/17,42/23) -> (100/27,63/17) Hyperbolic Matrix(221,-484,100,-219) (13/6,11/5) -> (11/5,31/14) Parabolic Matrix(4643,-10332,1052,-2341) (20/9,69/31) -> (75/17,128/29) Hyperbolic Matrix(527,-1202,146,-333) (25/11,16/7) -> (18/5,47/13) Hyperbolic Matrix(2271,-5218,514,-1181) (62/27,23/10) -> (53/12,84/19) Hyperbolic Matrix(3887,-8978,1682,-3885) (30/13,67/29) -> (67/29,104/45) Parabolic Matrix(733,-1700,260,-603) (37/16,7/3) -> (31/11,79/28) Hyperbolic Matrix(1711,-4050,722,-1709) (26/11,45/19) -> (45/19,64/27) Parabolic Matrix(4613,-11132,956,-2307) (111/46,70/29) -> (82/17,29/6) Hyperbolic Matrix(899,-2174,318,-769) (29/12,46/19) -> (48/17,17/6) Hyperbolic Matrix(447,-1090,130,-317) (17/7,22/9) -> (24/7,31/9) Hyperbolic Matrix(415,-1058,162,-413) (5/2,23/9) -> (23/9,41/16) Parabolic Matrix(447,-1154,98,-253) (18/7,31/12) -> (9/2,32/7) Hyperbolic Matrix(293,-796,60,-163) (19/7,49/18) -> (29/6,5/1) Hyperbolic Matrix(223,-610,34,-93) (30/11,11/4) -> (13/2,20/3) Hyperbolic Matrix(1599,-4418,578,-1597) (11/4,47/17) -> (47/17,83/30) Parabolic Matrix(49,-144,16,-47) (23/8,3/1) -> (3/1,25/8) Parabolic Matrix(227,-734,30,-97) (29/9,13/4) -> (15/2,23/3) Hyperbolic Matrix(1471,-4802,450,-1469) (13/4,49/15) -> (49/15,85/26) Parabolic Matrix(783,-2672,80,-273) (58/17,99/29) -> (29/3,10/1) Hyperbolic Matrix(899,-3070,94,-321) (99/29,41/12) -> (19/2,29/3) Hyperbolic Matrix(351,-1250,98,-349) (7/2,25/7) -> (25/7,43/12) Parabolic Matrix(1497,-5414,326,-1179) (47/13,76/21) -> (78/17,23/5) Hyperbolic Matrix(157,-676,36,-155) (17/4,13/3) -> (13/3,35/8) Parabolic Matrix(1167,-5618,242,-1165) (24/5,53/11) -> (53/11,82/17) Parabolic Matrix(271,-1458,50,-269) (16/3,27/5) -> (27/5,38/7) Parabolic Matrix(57,-392,8,-55) (27/4,7/1) -> (7/1,29/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(121,56,296,137) -> Matrix(1,-2,2,-3) Matrix(239,110,-654,-301) -> Matrix(1,-2,0,1) Matrix(1403,634,582,263) -> Matrix(3,-2,2,-1) Matrix(817,368,464,209) -> Matrix(1,0,0,1) Matrix(233,104,56,25) -> Matrix(1,-2,0,1) Matrix(113,50,174,77) -> Matrix(1,-2,0,1) Matrix(225,98,-962,-419) -> Matrix(1,0,0,1) Matrix(341,148,-1076,-467) -> Matrix(3,4,2,3) Matrix(453,196,1916,829) -> Matrix(3,2,-2,-1) Matrix(1351,584,2200,951) -> Matrix(3,2,-2,-1) Matrix(1669,710,2842,1209) -> Matrix(1,2,0,1) Matrix(669,284,1444,613) -> Matrix(5,-2,-2,1) Matrix(1335,566,-3446,-1461) -> Matrix(3,-2,-4,3) Matrix(109,46,-718,-303) -> Matrix(1,-2,0,1) Matrix(219,92,388,163) -> Matrix(1,0,0,1) Matrix(327,136,440,183) -> Matrix(1,0,0,1) Matrix(1531,634,326,135) -> Matrix(1,2,-2,-3) Matrix(547,226,-1474,-609) -> Matrix(1,2,0,1) Matrix(1957,804,-6628,-2723) -> Matrix(1,0,0,1) Matrix(2173,892,324,133) -> Matrix(5,4,-4,-3) Matrix(1517,622,978,401) -> Matrix(5,2,-8,-3) Matrix(109,44,52,21) -> Matrix(1,0,-2,1) Matrix(529,208,1264,497) -> Matrix(1,0,0,1) Matrix(1159,454,314,123) -> Matrix(1,-2,0,1) Matrix(947,370,366,143) -> Matrix(1,-2,0,1) Matrix(1361,528,1776,689) -> Matrix(1,2,0,1) Matrix(1357,526,-6478,-2511) -> Matrix(5,6,4,5) Matrix(207,80,784,303) -> Matrix(1,0,2,1) Matrix(413,158,1090,417) -> Matrix(1,0,-6,1) Matrix(309,118,-982,-375) -> Matrix(7,-2,4,-1) Matrix(1757,668,1444,549) -> Matrix(1,0,-6,1) Matrix(7741,2940,4900,1861) -> Matrix(23,-8,-66,23) Matrix(3403,1292,4180,1587) -> Matrix(11,-4,-8,3) Matrix(929,352,256,97) -> Matrix(9,-4,-2,1) Matrix(409,152,-1784,-663) -> Matrix(3,-4,-2,3) Matrix(303,112,560,207) -> Matrix(1,-2,2,-3) Matrix(605,222,962,353) -> Matrix(1,-2,0,1) Matrix(1109,406,-3734,-1367) -> Matrix(1,4,0,1) Matrix(199,72,152,55) -> Matrix(1,0,0,1) Matrix(597,212,-2036,-723) -> Matrix(1,0,-2,1) Matrix(1885,668,1188,421) -> Matrix(1,0,-6,1) Matrix(199,70,-742,-261) -> Matrix(1,0,-2,1) Matrix(187,60,-988,-317) -> Matrix(3,-2,-4,3) Matrix(1113,346,1766,549) -> Matrix(1,-2,0,1) Matrix(4171,1292,2644,819) -> Matrix(3,-4,-8,11) Matrix(1759,544,928,287) -> Matrix(1,-2,0,1) Matrix(2131,658,3054,943) -> Matrix(1,-2,0,1) Matrix(183,56,232,71) -> Matrix(1,-4,0,1) Matrix(455,136,184,55) -> Matrix(1,0,0,1) Matrix(2729,810,502,149) -> Matrix(1,-12,0,1) Matrix(1635,484,956,283) -> Matrix(1,2,2,5) Matrix(271,80,2544,751) -> Matrix(1,0,2,1) Matrix(1269,374,682,201) -> Matrix(1,0,0,1) Matrix(5249,1538,2174,637) -> Matrix(1,2,0,1) Matrix(2441,714,1494,437) -> Matrix(1,0,-6,1) Matrix(1353,394,182,53) -> Matrix(1,0,-2,1) Matrix(3521,1024,1984,577) -> Matrix(1,0,0,1) Matrix(269,78,1714,497) -> Matrix(1,0,-2,1) Matrix(989,286,1442,417) -> Matrix(1,0,-2,1) Matrix(177,50,46,13) -> Matrix(1,-2,0,1) Matrix(267,74,-1418,-393) -> Matrix(1,0,-2,1) Matrix(1679,464,1328,367) -> Matrix(1,-2,-2,5) Matrix(973,268,2516,693) -> Matrix(1,-2,-4,9) Matrix(263,72,-968,-265) -> Matrix(1,-6,0,1) Matrix(1841,498,2414,653) -> Matrix(1,4,0,1) Matrix(615,166,2234,603) -> Matrix(1,2,-2,-3) Matrix(439,118,-2102,-565) -> Matrix(3,4,2,3) Matrix(347,92,132,35) -> Matrix(1,0,0,1) Matrix(169,40,376,89) -> Matrix(1,4,0,1) Matrix(1753,408,2376,553) -> Matrix(1,0,0,1) Matrix(1919,446,3042,707) -> Matrix(1,0,0,1) Matrix(3737,856,1576,361) -> Matrix(7,8,6,7) Matrix(913,208,496,113) -> Matrix(1,0,0,1) Matrix(249,56,40,9) -> Matrix(3,2,-2,-1) Matrix(163,36,412,91) -> Matrix(1,0,4,1) Matrix(1229,268,2004,437) -> Matrix(9,-2,-4,1) Matrix(733,158,450,97) -> Matrix(1,0,-6,1) Matrix(731,156,164,35) -> Matrix(1,0,-2,1) Matrix(1379,292,732,155) -> Matrix(1,0,-2,1) Matrix(2109,446,610,129) -> Matrix(3,-2,2,-1) Matrix(3809,800,1376,289) -> Matrix(13,-12,-14,13) Matrix(563,116,364,75) -> Matrix(1,0,-2,1) Matrix(633,122,358,69) -> Matrix(1,2,0,1) Matrix(3873,736,1184,225) -> Matrix(11,12,10,11) Matrix(707,132,316,59) -> Matrix(1,0,6,1) Matrix(315,58,38,7) -> Matrix(1,0,0,1) Matrix(155,28,548,99) -> Matrix(1,0,4,1) Matrix(935,166,1594,283) -> Matrix(3,-2,2,-1) Matrix(463,80,272,47) -> Matrix(1,0,2,1) Matrix(77,12,340,53) -> Matrix(1,2,0,1) Matrix(375,56,904,135) -> Matrix(1,0,2,1) Matrix(1487,208,336,47) -> Matrix(1,0,0,1) Matrix(2077,286,1634,225) -> Matrix(1,0,-2,1) Matrix(221,30,1186,161) -> Matrix(1,0,6,1) Matrix(589,78,370,49) -> Matrix(1,0,-4,1) Matrix(653,78,946,113) -> Matrix(1,0,-2,1) Matrix(869,100,252,29) -> Matrix(1,0,0,1) Matrix(431,46,178,19) -> Matrix(1,2,0,1) Matrix(583,-56,760,-73) -> Matrix(1,2,0,1) Matrix(1743,-178,754,-77) -> Matrix(1,0,4,1) Matrix(173,-20,372,-43) -> Matrix(1,-2,0,1) Matrix(397,-52,84,-11) -> Matrix(1,0,-2,1) Matrix(223,-34,610,-93) -> Matrix(1,2,-2,-3) Matrix(2273,-352,1440,-223) -> Matrix(5,4,-14,-11) Matrix(1105,-176,496,-79) -> Matrix(1,0,8,1) Matrix(435,-76,1036,-181) -> Matrix(1,0,2,1) Matrix(597,-106,490,-87) -> Matrix(1,0,-2,1) Matrix(271,-50,1458,-269) -> Matrix(1,0,10,1) Matrix(3229,-610,1858,-351) -> Matrix(1,0,-2,1) Matrix(3605,-684,2124,-403) -> Matrix(1,0,2,1) Matrix(267,-52,724,-141) -> Matrix(1,0,-2,1) Matrix(211,-46,78,-17) -> Matrix(1,-2,0,1) Matrix(157,-36,676,-155) -> Matrix(1,-6,0,1) Matrix(1245,-292,388,-91) -> Matrix(1,2,2,5) Matrix(1553,-368,2224,-527) -> Matrix(1,0,0,1) Matrix(1137,-272,464,-111) -> Matrix(1,2,0,1) Matrix(405,-106,1066,-279) -> Matrix(1,0,0,1) Matrix(403,-108,556,-149) -> Matrix(1,2,0,1) Matrix(1255,-344,1784,-489) -> Matrix(1,0,0,1) Matrix(853,-236,300,-83) -> Matrix(1,0,2,1) Matrix(351,-98,1250,-349) -> Matrix(1,0,14,1) Matrix(447,-130,1090,-317) -> Matrix(1,-2,2,-3) Matrix(841,-246,694,-203) -> Matrix(1,-2,-2,5) Matrix(889,-262,1286,-379) -> Matrix(1,0,0,1) Matrix(1481,-438,470,-139) -> Matrix(1,0,2,1) Matrix(1037,-308,468,-139) -> Matrix(1,0,10,1) Matrix(245,-74,394,-119) -> Matrix(1,0,-2,1) Matrix(341,-106,74,-23) -> Matrix(1,-2,0,1) Matrix(377,-134,166,-59) -> Matrix(1,2,2,5) Matrix(189,-68,164,-59) -> Matrix(3,4,-4,-5) Matrix(1781,-652,2412,-883) -> Matrix(3,2,-2,-1) Matrix(1967,-722,2738,-1005) -> Matrix(1,0,2,1) Matrix(1403,-516,1732,-637) -> Matrix(3,2,-2,-1) Matrix(2897,-1070,398,-147) -> Matrix(1,2,-2,-3) Matrix(1541,-570,538,-199) -> Matrix(1,0,0,1) Matrix(1121,-416,256,-95) -> Matrix(1,0,0,1) Matrix(3293,-1252,2596,-987) -> Matrix(1,0,-2,1) Matrix(555,-212,788,-301) -> Matrix(1,0,0,1) Matrix(1709,-660,2100,-811) -> Matrix(7,2,-4,-1) Matrix(877,-340,276,-107) -> Matrix(1,0,6,1) Matrix(415,-162,1058,-413) -> Matrix(1,0,18,1) Matrix(1407,-578,2018,-829) -> Matrix(3,-2,-4,3) Matrix(1403,-580,612,-253) -> Matrix(1,-2,2,-3) Matrix(589,-244,1108,-459) -> Matrix(1,0,2,1) Matrix(1083,-454,1510,-633) -> Matrix(1,0,0,1) Matrix(4055,-1704,2344,-985) -> Matrix(3,-2,2,-1) Matrix(315,-134,134,-57) -> Matrix(1,-2,2,-3) Matrix(223,-98,66,-29) -> Matrix(1,0,0,1) Matrix(221,-100,484,-219) -> Matrix(1,-10,0,1) Matrix(921,-424,328,-151) -> Matrix(1,4,-2,-7) Matrix(695,-328,392,-185) -> Matrix(1,2,0,1) Matrix(1969,-1040,816,-431) -> Matrix(11,-2,6,-1) Matrix(625,-334,814,-435) -> Matrix(3,-2,2,-1) Matrix(1945,-1064,744,-407) -> Matrix(3,-2,-4,3) Matrix(3429,-1882,2170,-1191) -> Matrix(13,-14,-38,41) Matrix(949,-524,556,-307) -> Matrix(1,-2,4,-7) Matrix(369,-206,206,-115) -> Matrix(1,-2,0,1) Matrix(121,-70,102,-59) -> Matrix(1,0,-2,1) Matrix(3797,-2220,2988,-1747) -> Matrix(1,-2,-4,9) Matrix(4321,-2528,5632,-3295) -> Matrix(1,0,0,1) Matrix(3591,-2104,2200,-1289) -> Matrix(1,-2,-4,9) Matrix(2661,-1564,604,-355) -> Matrix(1,-2,-2,5) Matrix(121,-72,200,-119) -> Matrix(1,-6,0,1) Matrix(3061,-1866,1770,-1079) -> Matrix(1,4,0,1) Matrix(6401,-3904,3776,-2303) -> Matrix(1,2,4,9) Matrix(4649,-2838,1014,-619) -> Matrix(1,2,0,1) Matrix(1469,-900,932,-571) -> Matrix(3,8,-8,-21) Matrix(5829,-3578,2618,-1607) -> Matrix(1,2,6,13) Matrix(911,-562,1266,-781) -> Matrix(1,2,0,1) Matrix(1463,-904,1128,-697) -> Matrix(1,2,2,5) Matrix(1423,-882,434,-269) -> Matrix(5,6,4,5) Matrix(1649,-1040,176,-111) -> Matrix(1,2,0,1) Matrix(391,-248,216,-137) -> Matrix(1,0,0,1) Matrix(429,-274,274,-175) -> Matrix(1,-2,-2,5) Matrix(495,-338,722,-493) -> Matrix(1,2,-2,-3) Matrix(1251,-862,1534,-1057) -> Matrix(1,0,0,1) Matrix(1701,-1180,604,-419) -> Matrix(1,0,-2,1) Matrix(2417,-1680,528,-367) -> Matrix(1,0,0,1) Matrix(2943,-2050,1282,-893) -> Matrix(1,2,0,1) Matrix(827,-580,452,-317) -> Matrix(3,2,-2,-1) Matrix(5261,-3698,3026,-2127) -> Matrix(1,0,2,1) Matrix(299,-212,244,-173) -> Matrix(1,0,-2,1) Matrix(1115,-804,484,-349) -> Matrix(1,0,0,1) Matrix(1597,-1156,612,-443) -> Matrix(3,-4,-2,3) Matrix(295,-216,56,-41) -> Matrix(1,2,0,1) Matrix(1661,-1220,516,-379) -> Matrix(1,0,2,1) Matrix(3135,-2306,866,-637) -> Matrix(1,-4,0,1) Matrix(873,-664,472,-359) -> Matrix(1,0,-2,1) Matrix(4501,-3436,2540,-1939) -> Matrix(1,0,0,1) Matrix(253,-196,324,-251) -> Matrix(1,-8,0,1) Matrix(1399,-1096,808,-633) -> Matrix(1,6,0,1) Matrix(283,-228,36,-29) -> Matrix(1,2,-2,-3) Matrix(883,-716,460,-373) -> Matrix(1,2,-2,-3) Matrix(1343,-1090,706,-573) -> Matrix(1,0,0,1) Matrix(2961,-2416,1744,-1423) -> Matrix(1,0,4,1) Matrix(317,-260,228,-187) -> Matrix(1,0,0,1) Matrix(139,-118,86,-73) -> Matrix(1,2,-4,-7) Matrix(211,-236,76,-85) -> Matrix(3,4,-4,-5) Matrix(1187,-1436,348,-421) -> Matrix(9,4,2,1) Matrix(343,-424,72,-89) -> Matrix(1,0,0,1) Matrix(397,-500,212,-267) -> Matrix(1,0,2,1) Matrix(8101,-10268,4572,-5795) -> Matrix(1,0,4,1) Matrix(9341,-11844,2116,-2683) -> Matrix(1,0,4,1) Matrix(5583,-7090,3538,-4493) -> Matrix(13,4,-36,-11) Matrix(253,-324,196,-251) -> Matrix(1,0,8,1) Matrix(2175,-2818,1282,-1661) -> Matrix(1,0,0,1) Matrix(81,-110,14,-19) -> Matrix(1,-2,0,1) Matrix(403,-556,108,-149) -> Matrix(1,0,0,1) Matrix(965,-1338,282,-391) -> Matrix(1,2,0,1) Matrix(691,-974,398,-561) -> Matrix(1,2,0,1) Matrix(1193,-1686,438,-619) -> Matrix(3,8,-2,-5) Matrix(555,-788,212,-301) -> Matrix(1,2,-2,-3) Matrix(157,-226,66,-95) -> Matrix(1,2,0,1) Matrix(681,-1046,278,-427) -> Matrix(1,0,2,1) Matrix(981,-1514,554,-855) -> Matrix(1,0,2,1) Matrix(675,-1052,188,-293) -> Matrix(23,12,-2,-1) Matrix(2429,-3842,930,-1471) -> Matrix(19,6,-16,-5) Matrix(149,-236,12,-19) -> Matrix(7,2,-4,-1) Matrix(915,-1454,494,-785) -> Matrix(1,0,2,1) Matrix(245,-394,74,-119) -> Matrix(5,2,2,1) Matrix(4813,-7860,1300,-2123) -> Matrix(1,0,4,1) Matrix(121,-200,72,-119) -> Matrix(1,0,8,1) Matrix(1117,-1892,356,-603) -> Matrix(1,0,-4,1) Matrix(23585,-39968,13312,-22559) -> Matrix(9,-2,-4,1) Matrix(19165,-32482,10818,-18335) -> Matrix(7,-2,4,-1) Matrix(329,-566,118,-203) -> Matrix(3,-2,-4,3) Matrix(2009,-3496,712,-1239) -> Matrix(1,0,-2,1) Matrix(621,-1106,242,-431) -> Matrix(1,-6,0,1) Matrix(1135,-2066,306,-557) -> Matrix(1,0,0,1) Matrix(3149,-5746,850,-1551) -> Matrix(1,2,0,1) Matrix(221,-484,100,-219) -> Matrix(1,0,18,1) Matrix(4643,-10332,1052,-2341) -> Matrix(1,0,-8,1) Matrix(527,-1202,146,-333) -> Matrix(13,-6,-2,1) Matrix(2271,-5218,514,-1181) -> Matrix(1,0,-2,1) Matrix(3887,-8978,1682,-3885) -> Matrix(1,0,6,1) Matrix(733,-1700,260,-603) -> Matrix(1,0,-4,1) Matrix(1711,-4050,722,-1709) -> Matrix(15,-14,14,-13) Matrix(4613,-11132,956,-2307) -> Matrix(1,-2,12,-23) Matrix(899,-2174,318,-769) -> Matrix(1,-2,-2,5) Matrix(447,-1090,130,-317) -> Matrix(1,0,0,1) Matrix(415,-1058,162,-413) -> Matrix(1,-10,0,1) Matrix(447,-1154,98,-253) -> Matrix(1,2,0,1) Matrix(293,-796,60,-163) -> Matrix(1,2,0,1) Matrix(223,-610,34,-93) -> Matrix(1,0,0,1) Matrix(1599,-4418,578,-1597) -> Matrix(25,26,-26,-27) Matrix(49,-144,16,-47) -> Matrix(1,0,2,1) Matrix(227,-734,30,-97) -> Matrix(3,-2,-4,3) Matrix(1471,-4802,450,-1469) -> Matrix(23,-22,22,-21) Matrix(783,-2672,80,-273) -> Matrix(1,-8,0,1) Matrix(899,-3070,94,-321) -> Matrix(1,4,0,1) Matrix(351,-1250,98,-349) -> Matrix(1,-22,0,1) Matrix(1497,-5414,326,-1179) -> Matrix(1,4,0,1) Matrix(157,-676,36,-155) -> Matrix(1,2,-2,-3) Matrix(1167,-5618,242,-1165) -> Matrix(1,0,18,1) Matrix(271,-1458,50,-269) -> Matrix(1,-20,0,1) Matrix(57,-392,8,-55) -> Matrix(5,6,-6,-7) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 59 Degree of the the map X: 59 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 -1/1 0/1 1 1 0/1 (0/1,1/0) 0 32 1/10 -1/1 1 32 1/9 0 16 1/8 1/1 1 32 1/7 1/0 1 4 2/13 (-1/1,0/1) 0 32 3/19 0 16 1/6 1/1 1 32 3/17 0/1 1 8 2/11 (-1/2,0/1) 0 32 5/27 0/1 5 1 3/16 1/3 1 32 7/37 1/2 1 8 4/21 (0/1,1/2) 0 32 1/5 0 16 2/9 (1/1,1/0) 0 32 3/13 1/0 3 2 4/17 (-2/1,1/0) 0 32 5/21 0 16 1/4 -1/1 1 32 4/15 (1/1,1/0) 0 32 3/11 0 16 8/29 (-1/3,0/1) 0 32 5/18 -1/5 1 32 7/25 0/1 7 1 2/7 (0/1,1/2) 0 32 7/24 1/1 1 32 5/17 0 16 13/44 -1/3 1 32 8/27 (-1/2,0/1) 0 32 3/10 1/3 1 32 4/13 (1/1,3/2) 0 32 1/3 1/0 1 8 5/14 -1/1 1 32 4/11 (-1/1,-2/3) 0 32 15/41 -1/2 1 4 11/30 -1/3 1 32 18/49 (-1/1,0/1) 0 32 7/19 0 16 24/65 (0/1,1/0) 0 32 17/46 -1/1 1 32 10/27 (-1/1,0/1) 0 32 3/8 -1/1 1 32 8/21 (-1/2,0/1) 0 32 5/13 0 16 12/31 (-1/4,0/1) 0 32 7/18 -1/7 1 32 9/23 0/1 9 1 2/5 (0/1,1/2) 0 32 7/17 1/1 3 4 12/29 (0/1,1/0) 0 32 5/12 1/1 1 32 13/31 0/1 1 8 21/50 1/3 1 32 8/19 (2/3,1/1) 0 32 3/7 0 16 4/9 (2/1,1/0) 0 32 5/11 1/0 5 2 6/13 (-3/1,1/0) 0 32 7/15 0 16 1/2 -1/1 1 32 6/11 (1/2,1/1) 0 32 17/31 1/1 11 2 11/20 1/1 1 32 5/9 0 16 4/7 (1/1,1/0) 0 32 7/12 1/1 1 32 31/53 1/0 1 8 24/41 (2/1,1/0) 0 32 17/29 0 16 10/17 (2/1,3/1) 0 32 3/5 1/0 3 4 14/23 (-4/1,-3/1) 0 32 25/41 0 16 36/59 (-3/1,1/0) 0 32 11/18 -3/1 1 32 19/31 0 16 8/13 (-2/1,1/0) 0 32 21/34 -3/1 1 32 13/21 0 16 18/29 (-1/1,-3/4) 0 32 5/8 1/1 1 32 12/19 (-1/1,1/0) 0 32 7/11 0 16 2/3 (-1/1,1/0) 0 32 13/19 -1/1 1 1 11/16 -1/1 1 32 20/29 (-1/1,0/1) 0 32 9/13 0 16 25/36 -1/1 1 32 16/23 (-2/1,1/0) 0 32 23/33 -1/1 3 4 7/10 -1/1 1 32 26/37 (-1/2,0/1) 0 32 19/27 0 16 12/17 (-1/2,0/1) 0 32 5/7 0/1 1 8 23/32 -1/1 1 32 18/25 (0/1,1/0) 0 32 13/18 1/1 1 32 21/29 0 16 8/11 (3/1,1/0) 0 32 11/15 0 16 25/34 -1/1 1 32 14/19 (-1/1,1/0) 0 32 3/4 -1/1 1 32 16/21 (1/1,2/1) 0 32 13/17 0 16 10/13 (2/1,1/0) 0 32 7/9 1/0 4 2 4/5 (-2/1,1/0) 0 32 17/21 0 16 30/37 (-2/1,-1/1) 0 32 43/53 -1/1 1 1 13/16 -1/1 1 32 22/27 (-1/1,0/1) 0 32 31/38 -1/1 1 32 9/11 1/0 1 8 5/6 -3/1 1 32 1/1 0 16 8/7 (-1/1,-6/7) 0 32 7/6 -1/1 1 32 6/5 (-1/1,-1/2) 0 32 23/19 0 16 17/14 -1/3 1 32 11/9 0/1 1 8 16/13 (-1/4,0/1) 0 32 5/4 -1/1 1 32 19/15 0 16 33/26 -1/3 1 32 47/37 -1/4 1 8 14/11 (-1/4,0/1) 0 32 9/7 0/1 4 2 4/3 (0/1,1/0) 0 32 11/8 -3/1 1 32 18/13 (-1/1,1/0) 0 32 25/18 -3/1 1 32 7/5 1/0 1 8 24/17 (-2/1,1/0) 0 32 17/12 -5/3 1 32 10/7 (-1/1,1/0) 0 32 3/2 -1/1 1 32 20/13 (-1/1,-1/2) 0 32 17/11 -1/2 1 8 14/9 (-4/7,-1/2) 0 32 11/7 0 16 41/26 -1/3 1 32 30/19 (-4/11,-1/3) 0 32 49/31 -1/3 11 2 19/12 -1/3 1 32 27/17 0/1 1 8 8/5 (-1/2,0/1) 0 32 21/13 0 16 13/8 -1/5 1 32 18/11 (-1/4,0/1) 0 32 5/3 0/1 4 4 22/13 (0/1,1/4) 0 32 61/36 1/5 1 32 161/95 1/4 2 1 100/59 (1/4,1/3) 0 32 39/23 0 16 17/10 1/3 1 32 12/7 (1/2,1/1) 0 32 19/11 0 16 26/15 (0/1,1/0) 0 32 33/19 1/0 1 8 40/23 (0/1,1/0) 0 32 7/4 1/1 1 32 23/13 1/0 1 8 62/35 (1/1,1/0) 0 32 39/22 1/1 1 32 16/9 (2/1,1/0) 0 32 9/5 0 16 20/11 (-1/1,1/0) 0 32 31/17 1/0 1 2 42/23 (-2/1,1/0) 0 32 11/6 -1/1 1 32 13/7 0/1 1 8 15/8 1/1 1 32 2/1 (-1/1,0/1) 0 32 11/5 0/1 9 2 20/9 (0/1,1/8) 0 32 9/4 1/3 1 32 25/11 1/2 1 8 16/7 (1/2,2/3) 0 32 39/17 1/1 3 4 62/27 (0/1,1/0) 0 32 23/10 1/1 1 32 30/13 (0/1,1/0) 0 32 67/29 0/1 3 1 37/16 1/3 1 32 7/3 0 16 26/11 (4/5,1/1) 0 32 45/19 1/1 7 1 19/8 1/1 1 32 12/5 (1/1,1/0) 0 32 29/12 1/1 1 32 17/7 1/0 1 4 22/9 (1/1,1/0) 0 32 5/2 1/1 1 32 23/9 1/0 5 1 18/7 (-4/1,1/0) 0 32 13/5 0 16 8/3 (-1/1,1/0) 0 32 19/7 0 16 49/18 -9/5 1 32 30/11 (-2/1,-3/2) 0 32 11/4 -1/1 1 32 47/17 -1/1 13 1 36/13 (-1/1,-10/11) 0 32 25/9 0 16 14/5 (-1/1,-1/2) 0 32 31/11 0 16 17/6 -1/3 1 32 20/7 (-1/1,0/1) 0 32 23/8 -1/1 1 32 3/1 0/1 1 8 25/8 1/1 1 32 22/7 (0/1,1/0) 0 32 19/6 -1/1 1 32 16/5 (0/1,1/2) 0 32 29/9 0 16 13/4 1/1 1 32 49/15 1/1 11 1 36/11 (1/1,9/8) 0 32 23/7 0 16 10/3 (2/1,1/0) 0 32 17/5 0 16 58/17 (5/1,1/0) 0 32 99/29 1/0 6 1 41/12 -1/1 1 32 24/7 (1/1,1/0) 0 32 31/9 1/0 1 4 7/2 3/1 1 32 25/7 1/0 11 1 18/5 (-8/1,1/0) 0 32 11/3 0 16 4/1 (-1/1,1/0) 0 32 13/3 -1/1 1 2 22/5 (-1/1,0/1) 0 32 9/2 -1/1 1 32 23/5 1/0 1 8 14/3 (-1/1,-1/2) 0 32 19/4 -1/1 1 32 24/5 (-1/4,0/1) 0 32 53/11 0/1 9 1 29/6 1/5 1 32 5/1 0 16 16/3 (5/1,1/0) 0 32 27/5 1/0 10 1 11/2 -5/1 1 32 6/1 (-2/1,1/0) 0 32 7/1 -1/1 3 4 15/2 -1/1 1 32 23/3 0 16 8/1 (-1/2,0/1) 0 32 1/0 -1/1 1 32 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(407,-40,234,-23) (0/1,1/10) -> (40/23,7/4) Glide Reflection Matrix(403,-44,174,-19) (1/10,1/9) -> (37/16,7/3) Glide Reflection Matrix(401,-48,142,-17) (1/9,1/8) -> (31/11,17/6) Glide Reflection Matrix(339,-46,140,-19) (1/8,1/7) -> (29/12,17/7) Glide Reflection Matrix(223,-34,610,-93) (1/7,2/13) -> (4/11,15/41) Hyperbolic Matrix(497,-78,720,-113) (2/13,3/19) -> (20/29,9/13) Glide Reflection Matrix(277,-44,938,-149) (3/19,1/6) -> (5/17,13/44) Glide Reflection Matrix(435,-76,1036,-181) (1/6,3/17) -> (13/31,21/50) Hyperbolic Matrix(433,-78,272,-49) (3/17,2/11) -> (27/17,8/5) Glide Reflection Matrix(109,-20,594,-109) (2/11,5/27) -> (2/11,5/27) Reflection Matrix(161,-30,864,-161) (5/27,3/16) -> (5/27,3/16) Reflection Matrix(755,-142,1292,-243) (3/16,7/37) -> (7/12,31/53) Glide Reflection Matrix(1505,-286,1184,-225) (7/37,4/21) -> (47/37,14/11) Glide Reflection Matrix(267,-52,724,-141) (4/21,1/5) -> (7/19,24/65) Hyperbolic Matrix(211,-46,78,-17) (1/5,2/9) -> (8/3,19/7) Hyperbolic Matrix(53,-12,234,-53) (2/9,3/13) -> (2/9,3/13) Reflection Matrix(103,-24,442,-103) (3/13,4/17) -> (3/13,4/17) Reflection Matrix(829,-196,258,-61) (4/17,5/21) -> (16/5,29/9) Glide Reflection Matrix(569,-136,774,-185) (5/21,1/4) -> (11/15,25/34) Glide Reflection Matrix(303,-80,178,-47) (1/4,4/15) -> (17/10,12/7) Glide Reflection Matrix(403,-108,556,-149) (4/15,3/11) -> (21/29,8/11) Hyperbolic Matrix(603,-166,1028,-283) (3/11,8/29) -> (17/29,10/17) Glide Reflection Matrix(853,-236,300,-83) (8/29,5/18) -> (17/6,20/7) Hyperbolic Matrix(251,-70,900,-251) (5/18,7/25) -> (5/18,7/25) Reflection Matrix(99,-28,350,-99) (7/25,2/7) -> (7/25,2/7) Reflection Matrix(199,-58,24,-7) (2/7,7/24) -> (8/1,1/0) Glide Reflection Matrix(841,-246,694,-203) (7/24,5/17) -> (23/19,17/14) Hyperbolic Matrix(1481,-438,470,-139) (13/44,8/27) -> (22/7,19/6) Hyperbolic Matrix(443,-132,198,-59) (8/27,3/10) -> (20/9,9/4) Glide Reflection Matrix(245,-74,394,-119) (3/10,4/13) -> (18/29,5/8) Hyperbolic Matrix(341,-106,74,-23) (4/13,1/3) -> (23/5,14/3) Hyperbolic Matrix(377,-134,166,-59) (1/3,5/14) -> (9/4,25/11) Hyperbolic Matrix(189,-68,164,-59) (5/14,4/11) -> (8/7,7/6) Hyperbolic Matrix(1217,-446,352,-129) (15/41,11/30) -> (31/9,7/2) Glide Reflection Matrix(795,-292,422,-155) (11/30,18/49) -> (15/8,2/1) Glide Reflection Matrix(1403,-516,1732,-637) (18/49,7/19) -> (17/21,30/37) Hyperbolic Matrix(4347,-1606,1892,-699) (24/65,17/46) -> (62/27,23/10) Glide Reflection Matrix(1541,-570,538,-199) (17/46,10/27) -> (20/7,23/8) Hyperbolic Matrix(419,-156,94,-35) (10/27,3/8) -> (22/5,9/2) Glide Reflection Matrix(417,-158,256,-97) (3/8,8/21) -> (13/8,18/11) Glide Reflection Matrix(555,-212,788,-301) (8/21,5/13) -> (19/27,12/17) Hyperbolic Matrix(693,-268,1130,-437) (5/13,12/31) -> (19/31,8/13) Glide Reflection Matrix(877,-340,276,-107) (12/31,7/18) -> (19/6,16/5) Hyperbolic Matrix(323,-126,828,-323) (7/18,9/23) -> (7/18,9/23) Reflection Matrix(91,-36,230,-91) (9/23,2/5) -> (9/23,2/5) Reflection Matrix(137,-56,22,-9) (2/5,7/17) -> (6/1,7/1) Glide Reflection Matrix(1403,-580,612,-253) (7/17,12/29) -> (16/7,39/17) Hyperbolic Matrix(679,-282,248,-103) (12/29,5/12) -> (30/11,11/4) Glide Reflection Matrix(497,-208,270,-113) (5/12,13/31) -> (11/6,13/7) Glide Reflection Matrix(857,-360,1126,-473) (21/50,8/19) -> (3/4,16/21) Glide Reflection Matrix(315,-134,134,-57) (8/19,3/7) -> (7/3,26/11) Hyperbolic Matrix(223,-98,66,-29) (3/7,4/9) -> (10/3,17/5) Hyperbolic Matrix(89,-40,198,-89) (4/9,5/11) -> (4/9,5/11) Reflection Matrix(131,-60,286,-131) (5/11,6/13) -> (5/11,6/13) Reflection Matrix(613,-284,218,-101) (6/13,7/15) -> (14/5,31/11) Glide Reflection Matrix(393,-184,566,-265) (7/15,1/2) -> (9/13,25/36) Glide Reflection Matrix(207,-112,146,-79) (1/2,6/11) -> (17/12,10/7) Glide Reflection Matrix(373,-204,682,-373) (6/11,17/31) -> (6/11,17/31) Reflection Matrix(1569,-862,992,-545) (17/31,11/20) -> (49/31,19/12) Glide Reflection Matrix(537,-296,742,-409) (11/20,5/9) -> (13/18,21/29) Glide Reflection Matrix(163,-92,62,-35) (5/9,4/7) -> (13/5,8/3) Glide Reflection Matrix(121,-70,102,-59) (4/7,7/12) -> (7/6,6/5) Hyperbolic Matrix(3473,-2032,1998,-1169) (31/53,24/41) -> (33/19,40/23) Glide Reflection Matrix(1533,-898,2180,-1277) (24/41,17/29) -> (26/37,19/27) Glide Reflection Matrix(121,-72,200,-119) (10/17,3/5) -> (3/5,14/23) Parabolic Matrix(955,-582,1252,-763) (14/23,25/41) -> (16/21,13/17) Glide Reflection Matrix(6401,-3904,3776,-2303) (25/41,36/59) -> (100/59,39/23) Hyperbolic Matrix(3417,-2086,1928,-1177) (36/59,11/18) -> (62/35,39/22) Glide Reflection Matrix(1469,-900,932,-571) (11/18,19/31) -> (11/7,41/26) Hyperbolic Matrix(911,-562,1266,-781) (8/13,21/34) -> (23/32,18/25) Hyperbolic Matrix(751,-464,594,-367) (21/34,13/21) -> (5/4,19/15) Glide Reflection Matrix(1423,-882,434,-269) (13/21,18/29) -> (36/11,23/7) Hyperbolic Matrix(353,-222,256,-161) (5/8,12/19) -> (11/8,18/13) Glide Reflection Matrix(391,-248,216,-137) (12/19,7/11) -> (9/5,20/11) Hyperbolic Matrix(77,-50,20,-13) (7/11,2/3) -> (11/3,4/1) Glide Reflection Matrix(77,-52,114,-77) (2/3,13/19) -> (2/3,13/19) Reflection Matrix(417,-286,608,-417) (13/19,11/16) -> (13/19,11/16) Reflection Matrix(1251,-862,1534,-1057) (11/16,20/29) -> (22/27,31/38) Hyperbolic Matrix(1473,-1024,830,-577) (25/36,16/23) -> (39/22,16/9) Glide Reflection Matrix(2943,-2050,1282,-893) (16/23,23/33) -> (39/17,62/27) Hyperbolic Matrix(565,-394,76,-53) (23/33,7/10) -> (7/1,15/2) Glide Reflection Matrix(827,-580,452,-317) (7/10,26/37) -> (42/23,11/6) Hyperbolic Matrix(299,-212,244,-173) (12/17,5/7) -> (11/9,16/13) Hyperbolic Matrix(521,-374,280,-201) (5/7,23/32) -> (13/7,15/8) Glide Reflection Matrix(1115,-804,484,-349) (18/25,13/18) -> (23/10,30/13) Hyperbolic Matrix(295,-216,56,-41) (8/11,11/15) -> (5/1,16/3) Hyperbolic Matrix(737,-542,480,-353) (25/34,14/19) -> (3/2,20/13) Glide Reflection Matrix(183,-136,74,-55) (14/19,3/4) -> (22/9,5/2) Glide Reflection Matrix(689,-528,398,-305) (13/17,10/13) -> (19/11,26/15) Glide Reflection Matrix(181,-140,234,-181) (10/13,7/9) -> (10/13,7/9) Reflection Matrix(71,-56,90,-71) (7/9,4/5) -> (7/9,4/5) Reflection Matrix(283,-228,36,-29) (4/5,17/21) -> (23/3,8/1) Hyperbolic Matrix(3181,-2580,3922,-3181) (30/37,43/53) -> (30/37,43/53) Reflection Matrix(1377,-1118,1696,-1377) (43/53,13/16) -> (43/53,13/16) Reflection Matrix(1587,-1292,1006,-819) (13/16,22/27) -> (41/26,30/19) Glide Reflection Matrix(2149,-1754,1692,-1381) (31/38,9/11) -> (33/26,47/37) Glide Reflection Matrix(317,-260,228,-187) (9/11,5/6) -> (25/18,7/5) Hyperbolic Matrix(139,-118,86,-73) (5/6,1/1) -> (21/13,13/8) Hyperbolic Matrix(211,-236,76,-85) (1/1,8/7) -> (36/13,25/9) Hyperbolic Matrix(1187,-1436,348,-421) (6/5,23/19) -> (17/5,58/17) Hyperbolic Matrix(549,-668,346,-421) (17/14,11/9) -> (19/12,27/17) Glide Reflection Matrix(343,-424,72,-89) (16/13,5/4) -> (19/4,24/5) Hyperbolic Matrix(1269,-1610,748,-949) (19/15,33/26) -> (39/23,17/10) Glide Reflection Matrix(197,-252,154,-197) (14/11,9/7) -> (14/11,9/7) Reflection Matrix(55,-72,42,-55) (9/7,4/3) -> (9/7,4/3) Reflection Matrix(81,-110,14,-19) (4/3,11/8) -> (11/2,6/1) Hyperbolic Matrix(965,-1338,282,-391) (18/13,25/18) -> (41/12,24/7) Hyperbolic Matrix(691,-974,398,-561) (7/5,24/17) -> (26/15,33/19) Hyperbolic Matrix(1193,-1686,438,-619) (24/17,17/12) -> (49/18,30/11) Hyperbolic Matrix(157,-226,66,-95) (10/7,3/2) -> (19/8,12/5) Hyperbolic Matrix(981,-1514,554,-855) (20/13,17/11) -> (23/13,62/35) Hyperbolic Matrix(401,-622,176,-273) (17/11,14/9) -> (25/11,16/7) Glide Reflection Matrix(225,-352,62,-97) (14/9,11/7) -> (18/5,11/3) Glide Reflection Matrix(1861,-2940,1178,-1861) (30/19,49/31) -> (30/19,49/31) Reflection Matrix(245,-394,74,-119) (8/5,21/13) -> (23/7,10/3) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(1117,-1892,356,-603) (22/13,61/36) -> (25/8,22/7) Hyperbolic Matrix(11591,-19642,6840,-11591) (61/36,161/95) -> (61/36,161/95) Reflection Matrix(18999,-32200,11210,-18999) (161/95,100/59) -> (161/95,100/59) Reflection Matrix(329,-566,118,-203) (12/7,19/11) -> (25/9,14/5) Hyperbolic Matrix(209,-368,46,-81) (7/4,23/13) -> (9/2,23/5) Glide Reflection Matrix(207,-370,80,-143) (16/9,9/5) -> (18/7,13/5) Glide Reflection Matrix(681,-1240,374,-681) (20/11,31/17) -> (20/11,31/17) Reflection Matrix(1427,-2604,782,-1427) (31/17,42/23) -> (31/17,42/23) Reflection Matrix(21,-44,10,-21) (2/1,11/5) -> (2/1,11/5) Reflection Matrix(199,-440,90,-199) (11/5,20/9) -> (11/5,20/9) Reflection Matrix(1741,-4020,754,-1741) (30/13,67/29) -> (30/13,67/29) Reflection Matrix(2145,-4958,928,-2145) (67/29,37/16) -> (67/29,37/16) Reflection Matrix(989,-2340,418,-989) (26/11,45/19) -> (26/11,45/19) Reflection Matrix(721,-1710,304,-721) (45/19,19/8) -> (45/19,19/8) Reflection Matrix(263,-634,56,-135) (12/5,29/12) -> (14/3,19/4) Glide Reflection Matrix(447,-1090,130,-317) (17/7,22/9) -> (24/7,31/9) Hyperbolic Matrix(91,-230,36,-91) (5/2,23/9) -> (5/2,23/9) Reflection Matrix(323,-828,126,-323) (23/9,18/7) -> (23/9,18/7) Reflection Matrix(293,-796,60,-163) (19/7,49/18) -> (29/6,5/1) Hyperbolic Matrix(375,-1034,136,-375) (11/4,47/17) -> (11/4,47/17) Reflection Matrix(1223,-3384,442,-1223) (47/17,36/13) -> (47/17,36/13) Reflection Matrix(49,-144,16,-47) (23/8,3/1) -> (3/1,25/8) Parabolic Matrix(227,-734,30,-97) (29/9,13/4) -> (15/2,23/3) Hyperbolic Matrix(391,-1274,120,-391) (13/4,49/15) -> (13/4,49/15) Reflection Matrix(1079,-3528,330,-1079) (49/15,36/11) -> (49/15,36/11) Reflection Matrix(3365,-11484,986,-3365) (58/17,99/29) -> (58/17,99/29) Reflection Matrix(2377,-8118,696,-2377) (99/29,41/12) -> (99/29,41/12) Reflection Matrix(99,-350,28,-99) (7/2,25/7) -> (7/2,25/7) Reflection Matrix(251,-900,70,-251) (25/7,18/5) -> (25/7,18/5) Reflection Matrix(25,-104,6,-25) (4/1,13/3) -> (4/1,13/3) Reflection Matrix(131,-572,30,-131) (13/3,22/5) -> (13/3,22/5) Reflection Matrix(529,-2544,110,-529) (24/5,53/11) -> (24/5,53/11) Reflection Matrix(637,-3074,132,-637) (53/11,29/6) -> (53/11,29/6) Reflection Matrix(161,-864,30,-161) (16/3,27/5) -> (16/3,27/5) Reflection Matrix(109,-594,20,-109) (27/5,11/2) -> (27/5,11/2) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(-1,0,2,1) (-1/1,1/0) -> (-1/1,0/1) Matrix(-1,0,2,1) -> Matrix(1,0,0,-1) (-1/1,0/1) -> (0/1,1/0) Matrix(407,-40,234,-23) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(403,-44,174,-19) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(401,-48,142,-17) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(339,-46,140,-19) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(223,-34,610,-93) -> Matrix(1,2,-2,-3) -1/1 Matrix(497,-78,720,-113) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(277,-44,938,-149) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(435,-76,1036,-181) -> Matrix(1,0,2,1) 0/1 Matrix(433,-78,272,-49) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(109,-20,594,-109) -> Matrix(-1,0,4,1) (2/11,5/27) -> (-1/2,0/1) Matrix(161,-30,864,-161) -> Matrix(1,0,6,-1) (5/27,3/16) -> (0/1,1/3) Matrix(755,-142,1292,-243) -> Matrix(5,-2,2,-1) Matrix(1505,-286,1184,-225) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(267,-52,724,-141) -> Matrix(1,0,-2,1) 0/1 Matrix(211,-46,78,-17) -> Matrix(1,-2,0,1) 1/0 Matrix(53,-12,234,-53) -> Matrix(-1,2,0,1) (2/9,3/13) -> (1/1,1/0) Matrix(103,-24,442,-103) -> Matrix(1,4,0,-1) (3/13,4/17) -> (-2/1,1/0) Matrix(829,-196,258,-61) -> Matrix(1,2,2,3) Matrix(569,-136,774,-185) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(303,-80,178,-47) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(403,-108,556,-149) -> Matrix(1,2,0,1) 1/0 Matrix(603,-166,1028,-283) -> Matrix(3,2,2,1) Matrix(853,-236,300,-83) -> Matrix(1,0,2,1) 0/1 Matrix(251,-70,900,-251) -> Matrix(-1,0,10,1) (5/18,7/25) -> (-1/5,0/1) Matrix(99,-28,350,-99) -> Matrix(1,0,4,-1) (7/25,2/7) -> (0/1,1/2) Matrix(199,-58,24,-7) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(841,-246,694,-203) -> Matrix(1,-2,-2,5) Matrix(1481,-438,470,-139) -> Matrix(1,0,2,1) 0/1 Matrix(443,-132,198,-59) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(245,-74,394,-119) -> Matrix(1,0,-2,1) 0/1 Matrix(341,-106,74,-23) -> Matrix(1,-2,0,1) 1/0 Matrix(377,-134,166,-59) -> Matrix(1,2,2,5) Matrix(189,-68,164,-59) -> Matrix(3,4,-4,-5) -1/1 Matrix(1217,-446,352,-129) -> Matrix(3,2,2,1) Matrix(795,-292,422,-155) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1403,-516,1732,-637) -> Matrix(3,2,-2,-1) -1/1 Matrix(4347,-1606,1892,-699) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1541,-570,538,-199) -> Matrix(1,0,0,1) Matrix(419,-156,94,-35) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(417,-158,256,-97) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(555,-212,788,-301) -> Matrix(1,0,0,1) Matrix(693,-268,1130,-437) -> Matrix(9,2,-4,-1) Matrix(877,-340,276,-107) -> Matrix(1,0,6,1) 0/1 Matrix(323,-126,828,-323) -> Matrix(-1,0,14,1) (7/18,9/23) -> (-1/7,0/1) Matrix(91,-36,230,-91) -> Matrix(1,0,4,-1) (9/23,2/5) -> (0/1,1/2) Matrix(137,-56,22,-9) -> Matrix(3,-2,-2,1) Matrix(1403,-580,612,-253) -> Matrix(1,-2,2,-3) 1/1 Matrix(679,-282,248,-103) -> Matrix(3,-2,-2,1) Matrix(497,-208,270,-113) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(857,-360,1126,-473) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(315,-134,134,-57) -> Matrix(1,-2,2,-3) 1/1 Matrix(223,-98,66,-29) -> Matrix(1,0,0,1) Matrix(89,-40,198,-89) -> Matrix(-1,4,0,1) (4/9,5/11) -> (2/1,1/0) Matrix(131,-60,286,-131) -> Matrix(1,6,0,-1) (5/11,6/13) -> (-3/1,1/0) Matrix(613,-284,218,-101) -> Matrix(1,2,-2,-5) Matrix(393,-184,566,-265) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(207,-112,146,-79) -> Matrix(3,-2,-2,1) Matrix(373,-204,682,-373) -> Matrix(3,-2,4,-3) (6/11,17/31) -> (1/2,1/1) Matrix(1569,-862,992,-545) -> Matrix(5,-6,-16,19) Matrix(537,-296,742,-409) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(163,-92,62,-35) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(121,-70,102,-59) -> Matrix(1,0,-2,1) 0/1 Matrix(3473,-2032,1998,-1169) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1533,-898,2180,-1277) -> Matrix(1,-2,-2,3) Matrix(121,-72,200,-119) -> Matrix(1,-6,0,1) 1/0 Matrix(955,-582,1252,-763) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(6401,-3904,3776,-2303) -> Matrix(1,2,4,9) Matrix(3417,-2086,1928,-1177) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1469,-900,932,-571) -> Matrix(3,8,-8,-21) Matrix(911,-562,1266,-781) -> Matrix(1,2,0,1) 1/0 Matrix(751,-464,594,-367) -> Matrix(1,2,-2,-5) Matrix(1423,-882,434,-269) -> Matrix(5,6,4,5) Matrix(353,-222,256,-161) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(391,-248,216,-137) -> Matrix(1,0,0,1) Matrix(77,-50,20,-13) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(77,-52,114,-77) -> Matrix(1,2,0,-1) (2/3,13/19) -> (-1/1,1/0) Matrix(417,-286,608,-417) -> Matrix(-1,0,2,1) (13/19,11/16) -> (-1/1,0/1) Matrix(1251,-862,1534,-1057) -> Matrix(1,0,0,1) Matrix(1473,-1024,830,-577) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2943,-2050,1282,-893) -> Matrix(1,2,0,1) 1/0 Matrix(565,-394,76,-53) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(827,-580,452,-317) -> Matrix(3,2,-2,-1) -1/1 Matrix(299,-212,244,-173) -> Matrix(1,0,-2,1) 0/1 Matrix(521,-374,280,-201) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1115,-804,484,-349) -> Matrix(1,0,0,1) Matrix(295,-216,56,-41) -> Matrix(1,2,0,1) 1/0 Matrix(737,-542,480,-353) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(183,-136,74,-55) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(689,-528,398,-305) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(181,-140,234,-181) -> Matrix(-1,4,0,1) (10/13,7/9) -> (2/1,1/0) Matrix(71,-56,90,-71) -> Matrix(1,4,0,-1) (7/9,4/5) -> (-2/1,1/0) Matrix(283,-228,36,-29) -> Matrix(1,2,-2,-3) -1/1 Matrix(3181,-2580,3922,-3181) -> Matrix(3,4,-2,-3) (30/37,43/53) -> (-2/1,-1/1) Matrix(1377,-1118,1696,-1377) -> Matrix(1,2,0,-1) (43/53,13/16) -> (-1/1,1/0) Matrix(1587,-1292,1006,-819) -> Matrix(3,4,-8,-11) Matrix(2149,-1754,1692,-1381) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(317,-260,228,-187) -> Matrix(1,0,0,1) Matrix(139,-118,86,-73) -> Matrix(1,2,-4,-7) Matrix(211,-236,76,-85) -> Matrix(3,4,-4,-5) -1/1 Matrix(1187,-1436,348,-421) -> Matrix(9,4,2,1) Matrix(549,-668,346,-421) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(343,-424,72,-89) -> Matrix(1,0,0,1) Matrix(1269,-1610,748,-949) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(197,-252,154,-197) -> Matrix(-1,0,8,1) (14/11,9/7) -> (-1/4,0/1) Matrix(55,-72,42,-55) -> Matrix(1,0,0,-1) (9/7,4/3) -> (0/1,1/0) Matrix(81,-110,14,-19) -> Matrix(1,-2,0,1) 1/0 Matrix(965,-1338,282,-391) -> Matrix(1,2,0,1) 1/0 Matrix(691,-974,398,-561) -> Matrix(1,2,0,1) 1/0 Matrix(1193,-1686,438,-619) -> Matrix(3,8,-2,-5) -2/1 Matrix(157,-226,66,-95) -> Matrix(1,2,0,1) 1/0 Matrix(981,-1514,554,-855) -> Matrix(1,0,2,1) 0/1 Matrix(401,-622,176,-273) -> Matrix(3,2,8,5) Matrix(225,-352,62,-97) -> Matrix(9,4,-2,-1) Matrix(1861,-2940,1178,-1861) -> Matrix(23,8,-66,-23) (30/19,49/31) -> (-4/11,-1/3) Matrix(245,-394,74,-119) -> Matrix(5,2,2,1) Matrix(121,-200,72,-119) -> Matrix(1,0,8,1) 0/1 Matrix(1117,-1892,356,-603) -> Matrix(1,0,-4,1) 0/1 Matrix(11591,-19642,6840,-11591) -> Matrix(9,-2,40,-9) (61/36,161/95) -> (1/5,1/4) Matrix(18999,-32200,11210,-18999) -> Matrix(7,-2,24,-7) (161/95,100/59) -> (1/4,1/3) Matrix(329,-566,118,-203) -> Matrix(3,-2,-4,3) Matrix(209,-368,46,-81) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(207,-370,80,-143) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(681,-1240,374,-681) -> Matrix(1,2,0,-1) (20/11,31/17) -> (-1/1,1/0) Matrix(1427,-2604,782,-1427) -> Matrix(1,4,0,-1) (31/17,42/23) -> (-2/1,1/0) Matrix(21,-44,10,-21) -> Matrix(-1,0,2,1) (2/1,11/5) -> (-1/1,0/1) Matrix(199,-440,90,-199) -> Matrix(1,0,16,-1) (11/5,20/9) -> (0/1,1/8) Matrix(1741,-4020,754,-1741) -> Matrix(1,0,0,-1) (30/13,67/29) -> (0/1,1/0) Matrix(2145,-4958,928,-2145) -> Matrix(1,0,6,-1) (67/29,37/16) -> (0/1,1/3) Matrix(989,-2340,418,-989) -> Matrix(9,-8,10,-9) (26/11,45/19) -> (4/5,1/1) Matrix(721,-1710,304,-721) -> Matrix(5,-6,4,-5) (45/19,19/8) -> (1/1,3/2) Matrix(263,-634,56,-135) -> Matrix(1,-2,-2,3) Matrix(447,-1090,130,-317) -> Matrix(1,0,0,1) Matrix(91,-230,36,-91) -> Matrix(-1,2,0,1) (5/2,23/9) -> (1/1,1/0) Matrix(323,-828,126,-323) -> Matrix(1,8,0,-1) (23/9,18/7) -> (-4/1,1/0) Matrix(293,-796,60,-163) -> Matrix(1,2,0,1) 1/0 Matrix(375,-1034,136,-375) -> Matrix(5,6,-4,-5) (11/4,47/17) -> (-3/2,-1/1) Matrix(1223,-3384,442,-1223) -> Matrix(21,20,-22,-21) (47/17,36/13) -> (-1/1,-10/11) Matrix(49,-144,16,-47) -> Matrix(1,0,2,1) 0/1 Matrix(227,-734,30,-97) -> Matrix(3,-2,-4,3) Matrix(391,-1274,120,-391) -> Matrix(5,-4,6,-5) (13/4,49/15) -> (2/3,1/1) Matrix(1079,-3528,330,-1079) -> Matrix(17,-18,16,-17) (49/15,36/11) -> (1/1,9/8) Matrix(3365,-11484,986,-3365) -> Matrix(-1,10,0,1) (58/17,99/29) -> (5/1,1/0) Matrix(2377,-8118,696,-2377) -> Matrix(1,2,0,-1) (99/29,41/12) -> (-1/1,1/0) Matrix(99,-350,28,-99) -> Matrix(-1,6,0,1) (7/2,25/7) -> (3/1,1/0) Matrix(251,-900,70,-251) -> Matrix(1,16,0,-1) (25/7,18/5) -> (-8/1,1/0) Matrix(25,-104,6,-25) -> Matrix(1,2,0,-1) (4/1,13/3) -> (-1/1,1/0) Matrix(131,-572,30,-131) -> Matrix(-1,0,2,1) (13/3,22/5) -> (-1/1,0/1) Matrix(529,-2544,110,-529) -> Matrix(-1,0,8,1) (24/5,53/11) -> (-1/4,0/1) Matrix(637,-3074,132,-637) -> Matrix(1,0,10,-1) (53/11,29/6) -> (0/1,1/5) Matrix(161,-864,30,-161) -> Matrix(-1,10,0,1) (16/3,27/5) -> (5/1,1/0) Matrix(109,-594,20,-109) -> Matrix(1,10,0,-1) (27/5,11/2) -> (-5/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.