Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 1124261781] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1507 geometric_solution 5.31232066 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 -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 0.210530233042 2.400108690144 0 1 0 1 0132 2310 2310 3201 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 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 0 0 0 0 0 0 0 0 0 -0.475037951646 0.435193099569 4 3 5 0 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.057826612331 0.835533439969 2 4 0 5 1023 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 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 -0.057826612331 0.835533439969 2 4 3 4 0132 2310 2310 3201 0 0 0 0 0 -1 1 0 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 1 0 -1 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082437499653 1.191134754227 6 6 3 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029989329512 0.590939788574 5 6 5 6 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.942258450112 0.895652785205 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 29414114/171387*c_0101_2*c_1100_0^11 + 92355689/342774*c_0101_2*c_1100_0^10 - 65391788/57129*c_0101_2*c_1100_0^9 - 20033370/19043*c_0101_2*c_1100_0^8 + 639261613/114258*c_0101_2*c_1100_0^7 + 617774149/171387*c_0101_2*c_1100_0^6 - 6111533939/342774*c_0101_2*c_1100_0^5 - 7378703627/342774*c_0101_2*c_1100_0^4 + 1428941609/171387*c_0101_2*c_1100_0^3 + 9827473121/342774*c_0101_2*c_1100_0^2 + 3301586903/171387*c_0101_2*c_1100_0 + 816809075/171387*c_0101_2, c_0011_0 - 1, c_0011_2 + 105586/514161*c_1100_0^11 + 73049/342774*c_1100_0^10 - 254914/171387*c_1100_0^9 - 79858/171387*c_1100_0^8 + 796351/114258*c_1100_0^7 + 322310/514161*c_1100_0^6 - 7470763/342774*c_1100_0^5 - 14532919/1028322*c_1100_0^4 + 9249698/514161*c_1100_0^3 + 25795331/1028322*c_1100_0^2 + 4700777/514161*c_1100_0 + 58679/171387, c_0011_5 - 136775/514161*c_1100_0^11 - 46316/171387*c_1100_0^10 + 329924/171387*c_1100_0^9 + 84050/171387*c_1100_0^8 - 510784/57129*c_1100_0^7 - 91186/514161*c_1100_0^6 + 4685347/171387*c_1100_0^5 + 8446006/514161*c_1100_0^4 - 10512484/514161*c_1100_0^3 - 14813051/514161*c_1100_0^2 - 7195792/514161*c_1100_0 - 480979/171387, c_0101_0 - 180443/171387*c_0101_2*c_1100_0^11 - 92243/57129*c_0101_2*c_1100_0^10 + 406487/57129*c_0101_2*c_1100_0^9 + 351503/57129*c_0101_2*c_1100_0^8 - 661528/19043*c_0101_2*c_1100_0^7 - 3486634/171387*c_0101_2*c_1100_0^6 + 6316135/57129*c_0101_2*c_1100_0^5 + 21598057/171387*c_0101_2*c_1100_0^4 - 9570427/171387*c_0101_2*c_1100_0^3 - 29269931/171387*c_0101_2*c_1100_0^2 - 19497802/171387*c_0101_2*c_1100_0 - 1588507/57129*c_0101_2, c_0101_1 - 96286/171387*c_0101_2*c_1100_0^11 - 46642/57129*c_0101_2*c_1100_0^10 + 216661/57129*c_0101_2*c_1100_0^9 + 171349/57129*c_0101_2*c_1100_0^8 - 347209/19043*c_0101_2*c_1100_0^7 - 1680314/171387*c_0101_2*c_1100_0^6 + 3290384/57129*c_0101_2*c_1100_0^5 + 11125415/171387*c_0101_2*c_1100_0^4 - 4917074/171387*c_0101_2*c_1100_0^3 - 15566221/171387*c_0101_2*c_1100_0^2 - 10549655/171387*c_0101_2*c_1100_0 - 866735/57129*c_0101_2, c_0101_2^2 + 595537/2056644*c_1100_0^11 + 56374/171387*c_1100_0^10 - 709679/342774*c_1100_0^9 - 601279/685548*c_1100_0^8 + 186619/19043*c_1100_0^7 + 3506987/2056644*c_1100_0^6 - 21054959/685548*c_1100_0^5 - 11653391/514161*c_1100_0^4 + 46973207/2056644*c_1100_0^3 + 37941131/1028322*c_1100_0^2 + 9066221/514161*c_1100_0 + 489971/171387, c_1100_0^12 + 2*c_1100_0^11 - 6*c_1100_0^10 - 9*c_1100_0^9 + 30*c_1100_0^8 + 35*c_1100_0^7 - 95*c_1100_0^6 - 170*c_1100_0^5 - 5*c_1100_0^4 + 188*c_1100_0^3 + 184*c_1100_0^2 + 76*c_1100_0 + 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB