Magma V2.19-8 Wed Aug 21 2013 00:56:28 on localhost [Seed = 121707829] Type ? for help. Type -D to quit. Loading file "L13n2237__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2237 geometric_solution 12.37540040 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 12 0 -12 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636637760679 0.685907665342 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -12 0 12 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603089409895 1.138433233751 6 0 9 8 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273059480816 0.783199026435 8 5 10 0 0132 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -12 12 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636637760679 0.685907665342 9 5 0 11 2103 1302 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -11 0 0 11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964189509679 0.726485208441 12 1 3 4 0132 0132 3012 2031 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273059480816 0.783199026435 2 12 1 10 0132 0132 0132 3012 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603089409895 1.138433233751 9 10 11 1 0132 2031 2031 0132 1 1 1 1 0 0 0 0 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 0 1 -12 0 -1 0 1 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174792715078 0.531263804164 3 12 2 11 0132 1302 0132 3120 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273059480816 0.783199026435 7 12 4 2 0132 1230 2103 0132 1 1 1 1 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -11 0 11 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067686608618 1.373154054296 7 11 6 3 1302 0132 1230 0132 1 1 1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731328795951 0.455671341126 8 10 4 7 3120 0132 0132 1302 1 1 1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856727761974 0.551556509832 5 6 9 8 0132 0132 3012 2031 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 12 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636637760679 0.685907665342 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_7']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2703856047665/393184967*c_1001_11^5 - 1160376135875695/55832265314*c_1001_11^4 + 261450046591786/27916132657*c_1001_11^3 + 201733569814073/55832265314*c_1001_11^2 + 485605682038327/55832265314*c_1001_11 - 696976821276401/55832265314, c_0011_0 - 1, c_0011_10 + 22232443/112338562*c_1001_11^5 - 40623194/56169281*c_1001_11^4 + 17012374/56169281*c_1001_11^3 + 38636994/56169281*c_1001_11^2 - 22232659/112338562*c_1001_11 - 56104473/112338562, c_0011_3 + 101038041/112338562*c_1001_11^5 - 451745701/224677124*c_1001_11^4 - 32613589/112338562*c_1001_11^3 + 70528919/224677124*c_1001_11^2 + 179798193/224677124*c_1001_11 - 140877501/224677124, c_0011_7 + 22232443/56169281*c_1001_11^5 - 81246388/56169281*c_1001_11^4 + 34024748/56169281*c_1001_11^3 + 77273988/56169281*c_1001_11^2 + 33936622/56169281*c_1001_11 - 56104473/56169281, c_0101_0 + 28936973/224677124*c_1001_11^5 - 3700567/112338562*c_1001_11^4 - 14663876/56169281*c_1001_11^3 - 135131069/112338562*c_1001_11^2 + 152380535/224677124*c_1001_11 + 80154363/224677124, c_0101_1 - 1, c_0101_11 - 282509/56169281*c_1001_11^5 - 46357743/56169281*c_1001_11^4 + 95652197/56169281*c_1001_11^3 + 7664470/56169281*c_1001_11^2 - 834836/56169281*c_1001_11 - 24654584/56169281, c_0101_12 + 47817151/56169281*c_1001_11^5 - 125570149/56169281*c_1001_11^4 + 21709370/56169281*c_1001_11^3 - 19220087/56169281*c_1001_11^2 + 99010560/56169281*c_1001_11 - 44079528/56169281, c_0101_2 + 282509/112338562*c_1001_11^5 + 46357743/112338562*c_1001_11^4 - 95652197/112338562*c_1001_11^3 - 3832235/56169281*c_1001_11^2 + 417418/56169281*c_1001_11 + 80823865/112338562, c_0101_3 - 4601368/56169281*c_1001_11^5 - 8363531/56169281*c_1001_11^4 + 75089628/56169281*c_1001_11^3 - 36487452/56169281*c_1001_11^2 - 26937427/56169281*c_1001_11 - 25641198/56169281, c_0101_5 + 1, c_1001_10 + 9390105/8024183*c_1001_11^5 - 24117475/8024183*c_1001_11^4 + 5024507/8024183*c_1001_11^3 + 1985997/8024183*c_1001_11^2 + 7239330/8024183*c_1001_11 - 6428762/8024183, c_1001_11^6 - 214/71*c_1001_11^5 + 95/71*c_1001_11^4 + 38/71*c_1001_11^3 + 90/71*c_1001_11^2 - 128/71*c_1001_11 - 1/71 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 101877/1469*c_1001_11^7 + 15540423/23504*c_1001_11^6 + 30839183/11752*c_1001_11^5 + 108941539/23504*c_1001_11^4 + 52466403/11752*c_1001_11^3 + 55547491/11752*c_1001_11^2 + 13396907/2938*c_1001_11 + 54686911/23504, c_0011_0 - 1, c_0011_10 - 15/1469*c_1001_11^7 - 307/2938*c_1001_11^6 - 512/1469*c_1001_11^5 - 605/2938*c_1001_11^4 + 3195/2938*c_1001_11^3 + 1711/2938*c_1001_11^2 + 599/1469*c_1001_11 + 170/1469, c_0011_3 - 133/5876*c_1001_11^7 - 705/2938*c_1001_11^6 - 5617/5876*c_1001_11^5 - 8803/5876*c_1001_11^4 - 2729/5876*c_1001_11^3 - 1617/1469*c_1001_11^2 - 919/2938*c_1001_11 + 132/1469, c_0011_7 - c_1001_11, c_0101_0 + 33/1469*c_1001_11^7 + 1057/5876*c_1001_11^6 + 1959/2938*c_1001_11^5 + 7069/5876*c_1001_11^4 + 10915/5876*c_1001_11^3 + 5105/5876*c_1001_11^2 + 1914/1469*c_1001_11 + 721/2938, c_0101_1 - 1, c_0101_11 - 1, c_0101_12 - 81/1469*c_1001_11^7 - 682/1469*c_1001_11^6 - 2471/1469*c_1001_11^5 - 3837/1469*c_1001_11^4 - 3860/1469*c_1001_11^3 - 1697/1469*c_1001_11^2 - 1760/1469*c_1001_11 - 551/1469, c_0101_2 + 85/2938*c_1001_11^7 + 625/2938*c_1001_11^6 + 961/1469*c_1001_11^5 + 1959/2938*c_1001_11^4 + 1965/2938*c_1001_11^3 - 1665/2938*c_1001_11^2 - 473/1469*c_1001_11 - 1453/2938, c_0101_3 - 4/1469*c_1001_11^7 + 57/1469*c_1001_11^6 + 549/1469*c_1001_11^5 + 1878/1469*c_1001_11^4 + 1895/1469*c_1001_11^3 + 1893/1469*c_1001_11^2 - 232/1469*c_1001_11 + 535/1469, c_0101_5 - 1, c_1001_10 + 4/1469*c_1001_11^7 - 57/1469*c_1001_11^6 - 549/1469*c_1001_11^5 - 1878/1469*c_1001_11^4 - 1895/1469*c_1001_11^3 - 1893/1469*c_1001_11^2 + 232/1469*c_1001_11 - 535/1469, c_1001_11^8 + 7*c_1001_11^7 + 19*c_1001_11^6 + 11*c_1001_11^5 + 16*c_1001_11^4 + 18*c_1001_11^3 + 9*c_1001_11^2 - 3*c_1001_11 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.420 seconds, Total memory usage: 32.09MB