Magma V2.19-8 Wed Aug 21 2013 00:57:53 on localhost [Seed = 3230063200] Type ? for help. Type -D to quit. Loading file "L13n4590__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4590 geometric_solution 11.36668833 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 1023 0 0 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 -1 0 4 -3 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.132116835823 0.761524489019 0 3 4 0 0132 1023 0132 1023 0 0 1 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 -3 0 3 1 0 0 -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 -0.132116835823 0.761524489019 3 0 4 5 1023 0132 1302 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 1 0 0 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.355003777773 1.838655700969 1 2 6 0 1023 1023 0132 0132 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 -1 0 1 3 0 1 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455218678070 0.769345755224 2 7 6 1 2031 0132 1023 0132 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 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 0.792359989643 1.299339949251 8 7 2 6 0132 2031 0132 0321 0 0 1 1 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 1 -1 0 0 0 0 -9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.584203415417 0.857853344389 9 5 4 3 0132 0321 1023 0132 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 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910034556832 0.828173374042 5 4 11 10 1302 0132 0132 0132 0 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 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744044018448 2.002041614889 5 11 11 10 0132 3012 1023 2310 1 0 1 1 0 0 0 0 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 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325181427848 1.356067763990 6 12 11 12 0132 0132 3012 2310 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 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456189308283 0.826026363651 8 12 7 12 3201 3201 0132 1023 0 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 0 0 0 9 0 -8 -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 0.456189308283 0.826026363651 8 9 8 7 1230 1230 1023 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 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 0.294128320501 0.591059508982 9 9 10 10 3201 0132 2310 1023 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 0 0 -1 1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503580028335 0.269443903870 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0110_12']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0110_12'], 's_3_11' : 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' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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_1100_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_4'], 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_12']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0101_12']), 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_3']})} 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_5, c_0101_0, c_0101_10, c_0101_12, c_0101_3, c_0101_4, c_0110_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 5718211/10368*c_1100_0^15 - 58502819/10368*c_1100_0^14 - 292007603/10368*c_1100_0^13 - 75349759/864*c_1100_0^12 - 1890893357/10368*c_1100_0^11 - 226896523/864*c_1100_0^10 - 1309112837/5184*c_1100_0^9 - 44793799/324*c_1100_0^8 - 28628473/10368*c_1100_0^7 + 4843457/72*c_1100_0^6 + 335315441/5184*c_1100_0^5 + 93042835/2592*c_1100_0^4 + 4069967/576*c_1100_0^3 - 10899503/1296*c_1100_0^2 - 7120253/648*c_1100_0 - 40261637/10368, c_0011_0 - 1, c_0011_10 - c_1100_0^5 - 3*c_1100_0^4 - 4*c_1100_0^3 - c_1100_0^2 + c_1100_0 + 1, c_0011_11 - 2/3*c_1100_0^15 - 22/3*c_1100_0^14 - 115/3*c_1100_0^13 - 123*c_1100_0^12 - 793/3*c_1100_0^11 - 389*c_1100_0^10 - 1139/3*c_1100_0^9 - 625/3*c_1100_0^8 + 4/3*c_1100_0^7 + 109*c_1100_0^6 + 305/3*c_1100_0^5 + 158/3*c_1100_0^4 + 10*c_1100_0^3 - 38/3*c_1100_0^2 - 46/3*c_1100_0 - 19/3, c_0011_12 - c_1100_0^5 - 3*c_1100_0^4 - 4*c_1100_0^3 - c_1100_0^2 + c_1100_0 + 1, c_0011_4 - c_1100_0^2 - c_1100_0 - 1, c_0011_5 + c_1100_0^3 + 2*c_1100_0^2 + 2*c_1100_0, c_0101_0 - 1, c_0101_10 + c_1100_0 + 1, c_0101_12 - c_1100_0^4 - 2*c_1100_0^3 - 2*c_1100_0^2, c_0101_3 + c_1100_0 + 1, c_0101_4 + c_1100_0^3 + 2*c_1100_0^2 + c_1100_0, c_0110_12 - c_1100_0^15 - 10*c_1100_0^14 - 48*c_1100_0^13 - 142*c_1100_0^12 - 282*c_1100_0^11 - 384*c_1100_0^10 - 346*c_1100_0^9 - 170*c_1100_0^8 + 20*c_1100_0^7 + 110*c_1100_0^6 + 98*c_1100_0^5 + 46*c_1100_0^4 + 4*c_1100_0^3 - 16*c_1100_0^2 - 14*c_1100_0 - 5, c_1100_0^16 + 11*c_1100_0^15 + 59*c_1100_0^14 + 198*c_1100_0^13 + 455*c_1100_0^12 + 738*c_1100_0^11 + 838*c_1100_0^10 + 620*c_1100_0^9 + 211*c_1100_0^8 - 114*c_1100_0^7 - 214*c_1100_0^6 - 160*c_1100_0^5 - 66*c_1100_0^4 + 4*c_1100_0^3 + 32*c_1100_0^2 + 23*c_1100_0 + 6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB