Magma V2.19-8 Wed Aug 21 2013 00:52:31 on localhost [Seed = 2395511594] Type ? for help. Type -D to quit. Loading file "L12a414__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a414 geometric_solution 11.32877367 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 1 -1 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154912079366 0.767242614071 0 5 7 6 0132 0132 0132 0132 0 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 0 0 0 0 0 0 -1 1 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 0.720833894788 0.511166584015 8 0 9 9 0132 0132 0213 0132 1 0 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 -1 1 0 -1 0 0 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 0.432792615357 1.661715118439 7 10 4 0 0132 0132 2103 0132 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 0 0 0 0 0 0 -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 0.432748444507 0.446540808097 3 10 0 11 2103 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.163237257178 1.693554429880 8 1 9 12 1023 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361008280142 0.618343845794 7 8 1 9 2103 1302 0132 1023 0 1 0 1 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 0 0 0 2 -1 -1 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 0.579571306651 1.098155663558 3 11 6 1 0132 2103 2103 0132 0 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 0 0 0 0 0 -1 0 1 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 0.800558958893 0.534087763766 2 5 12 6 0132 1023 0132 2031 0 0 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 0 0 1 0 1 -2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.420428693349 1.098155663558 5 2 2 6 2103 0213 0132 1023 1 0 0 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 -1 0 1 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 0.183977767221 0.538989169614 10 3 4 10 3012 0132 0213 1230 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 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 1.698561867396 1.643641153189 12 7 4 12 0213 2103 0132 3201 1 1 0 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 0 0 -2 0 -1 3 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832630924223 1.127891615919 11 11 5 8 0213 2310 0132 0132 0 0 1 1 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 1 0 0 -1 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576358452334 0.573869809379 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : d['c_0011_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_4'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0110_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0011_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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_9']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], '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_1'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_9']), 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0110_6, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4137901/59213*c_0110_9*c_1001_0^8 - 3768555/16918*c_0110_9*c_1001_0^7 - 252083/16918*c_0110_9*c_1001_0^6 + 1306379/8459*c_0110_9*c_1001_0^5 - 19383597/118426*c_0110_9*c_1001_0^4 + 19529441/59213*c_0110_9*c_1001_0^3 - 8731861/59213*c_0110_9*c_1001_0^2 + 14976139/118426*c_0110_9*c_1001_0 - 2392989/59213*c_0110_9 + 12501031/118426*c_1001_0^8 - 3176801/16918*c_1001_0^7 - 7489629/16918*c_1001_0^6 + 1273333/16918*c_1001_0^5 - 565410/59213*c_1001_0^4 + 7101702/59213*c_1001_0^3 + 33760541/118426*c_1001_0^2 + 1611906/59213*c_1001_0 + 10026846/59213, c_0011_0 - 1, c_0011_10 - 2*c_1001_0^8 + 5*c_1001_0^7 + 4*c_1001_0^6 - 2*c_1001_0^5 + 3*c_1001_0^4 - 7*c_1001_0^3 - 2*c_1001_0^2 - 3*c_1001_0 - 1, c_0011_11 + 6/11*c_0110_9*c_1001_0^8 - 43/22*c_0110_9*c_1001_0^7 + 2/11*c_0110_9*c_1001_0^6 + 19/11*c_0110_9*c_1001_0^5 + 3/11*c_0110_9*c_1001_0^4 + 73/22*c_0110_9*c_1001_0^3 - 19/22*c_0110_9*c_1001_0^2 + 27/22*c_0110_9*c_1001_0 - 25/22*c_0110_9 - 12/11*c_1001_0^8 + 32/11*c_1001_0^7 + 18/11*c_1001_0^6 - 16/11*c_1001_0^5 + 27/11*c_1001_0^4 - 40/11*c_1001_0^3 + 5/22*c_1001_0^2 - 16/11*c_1001_0 - 27/22, c_0011_12 + 3/11*c_0110_9*c_1001_0^8 - 49/22*c_0110_9*c_1001_0^7 + 23/11*c_0110_9*c_1001_0^6 + 85/22*c_0110_9*c_1001_0^5 + 73/11*c_0110_9*c_1001_0^4 + 141/22*c_0110_9*c_1001_0^3 + 31/11*c_0110_9*c_1001_0^2 + 26/11*c_0110_9*c_1001_0 - 9/11*c_0110_9 - 1/22*c_1001_0^8 + 5/11*c_1001_0^7 - 15/22*c_1001_0^6 - 8/11*c_1001_0^5 - 3/11*c_1001_0^4 - 9/11*c_1001_0^3 + 15/11*c_1001_0^2 - 5/22*c_1001_0 + 7/11, c_0011_4 + c_1001_0^8 - 2*c_1001_0^7 - 3*c_1001_0^6 - c_1001_0^5 - c_1001_0^4 + 5*c_1001_0^3 + 2*c_1001_0^2 + 3*c_1001_0 + 1, c_0011_9 + 6/11*c_0110_9*c_1001_0^8 - 43/22*c_0110_9*c_1001_0^7 + 15/22*c_0110_9*c_1001_0^6 + 27/22*c_0110_9*c_1001_0^5 - 30/11*c_0110_9*c_1001_0^4 + 31/11*c_0110_9*c_1001_0^3 - 19/22*c_0110_9*c_1001_0^2 + 27/22*c_0110_9*c_1001_0 + 4/11*c_0110_9 - 12/11*c_1001_0^8 + 75/22*c_1001_0^7 + 3/22*c_1001_0^6 - 43/22*c_1001_0^5 + 87/22*c_1001_0^4 - 51/11*c_1001_0^3 + 27/22*c_1001_0^2 - 43/22*c_1001_0 - 5/22, c_0101_0 + 13/11*c_0110_9*c_1001_0^8 - 117/22*c_0110_9*c_1001_0^7 + 30/11*c_0110_9*c_1001_0^6 + 163/22*c_0110_9*c_1001_0^5 - 53/22*c_0110_9*c_1001_0^4 + 124/11*c_0110_9*c_1001_0^3 - 109/22*c_0110_9*c_1001_0^2 + 53/22*c_0110_9*c_1001_0 - 45/22*c_0110_9 - 4/11*c_1001_0^8 + 18/11*c_1001_0^7 - 21/22*c_1001_0^6 - 51/22*c_1001_0^5 + 29/22*c_1001_0^4 - 17/11*c_1001_0^3 + 21/11*c_1001_0^2 - 7/22*c_1001_0 + 13/22, c_0101_1 + 2*c_0110_9*c_1001_0^8 - 15/2*c_0110_9*c_1001_0^7 + 1/2*c_0110_9*c_1001_0^6 + 19/2*c_0110_9*c_1001_0^5 - c_0110_9*c_1001_0^4 + 22*c_0110_9*c_1001_0^3 - c_0110_9*c_1001_0^2 + 17/2*c_0110_9*c_1001_0 - 1/2*c_0110_9 - c_1001_0^8 + 7/2*c_1001_0^7 - 1/2*c_1001_0^6 - 3*c_1001_0^5 + 5/2*c_1001_0^4 - 5*c_1001_0^3 + 3*c_1001_0^2 - 3/2*c_1001_0 + 1, c_0101_5 - 1/2*c_0110_9*c_1001_0^8 + 1/2*c_0110_9*c_1001_0^7 + 3*c_0110_9*c_1001_0^6 + 1/2*c_0110_9*c_1001_0^5 - 3/2*c_0110_9*c_1001_0^2 + 1/2*c_1001_0^7 - 3/2*c_1001_0^6 - 1/2*c_1001_0^5 + 3/2*c_1001_0^4 - c_1001_0^3 + c_1001_0^2 - 1/2*c_1001_0 + 1/2, c_0110_6 - 15/22*c_0110_9*c_1001_0^8 + 51/22*c_0110_9*c_1001_0^7 - 8/11*c_0110_9*c_1001_0^6 - 9/22*c_0110_9*c_1001_0^5 + 53/22*c_0110_9*c_1001_0^4 - 83/22*c_0110_9*c_1001_0^3 + 65/22*c_0110_9*c_1001_0^2 - 31/22*c_0110_9*c_1001_0 + 23/22*c_0110_9 + 4/11*c_1001_0^8 - 18/11*c_1001_0^7 + 16/11*c_1001_0^6 + 9/11*c_1001_0^5 - 20/11*c_1001_0^4 + 67/22*c_1001_0^3 - 32/11*c_1001_0^2 + 20/11*c_1001_0 - 12/11, c_0110_9^2 - 44443014/31685641*c_0110_9*c_1001_0^8 + 235107542/31685641*c_0110_9*c_1001_0^7 - 264629970/31685641*c_0110_9*c_1001_0^6 - 194033846/31685641*c_0110_9*c_1001_0^5 + 312498168/31685641*c_0110_9*c_1001_0^4 - 369753482/31685641*c_0110_9*c_1001_0^3 + 408111102/31685641*c_0110_9*c_1001_0^2 - 188569670/31685641*c_0110_9*c_1001_0 + 139915914/31685641*c_0110_9 - 28682569/31685641*c_1001_0^8 - 53214982/31685641*c_1001_0^7 + 412658157/31685641*c_1001_0^6 + 110084921/31685641*c_1001_0^5 - 178569852/31685641*c_1001_0^4 + 152451808/31685641*c_1001_0^3 - 427745484/31685641*c_1001_0^2 + 105414165/31685641*c_1001_0 - 200836941/31685641, c_1001_0^9 - 3*c_1001_0^8 - 3*c_1001_0^5 + 5*c_1001_0^4 - 3*c_1001_0^3 + 4*c_1001_0^2 - c_1001_0 + 1, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB