Magma V2.19-8 Wed Aug 21 2013 00:42:31 on localhost [Seed = 408817428] Type ? for help. Type -D to quit. Loading file "K14n4694__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4694 geometric_solution 12.38566280 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1023 0132 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 1 0 -1 0 0 -1 1 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669974854204 0.875702109549 0 4 6 5 0132 0132 0132 0132 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 11 -11 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614313729135 1.438922274790 5 0 0 6 3120 0132 1023 1302 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 -1 1 0 0 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669974854204 0.875702109549 7 5 0 8 0132 1023 0132 0132 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 -1 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846685730265 0.784791008485 4 1 4 5 2031 0132 1302 2031 0 0 0 0 0 0 -1 1 1 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 0 0 10 -10 -10 0 10 0 1 -1 0 0 -10 11 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347235509091 0.360575780489 3 4 1 2 1023 1302 0132 3120 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 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749042411092 0.587824181002 7 8 2 1 3120 3120 2031 0132 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 11 -11 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 0.364719036525 0.588840428243 3 9 10 6 0132 0132 0132 3120 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 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410931355958 0.719444462020 9 6 3 10 0132 3120 0132 0132 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 1 -1 1 0 -1 0 0 1 0 -1 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410931355958 0.719444462020 8 7 12 11 0132 0132 0132 0132 0 0 0 0 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 -1 0 1 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593967057211 0.674924149175 11 12 8 7 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 -10 0 10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593967057211 0.674924149175 10 12 9 12 0132 0213 0132 3120 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 1 0 -1 0 0 0 0 1 -1 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652917816900 0.507521125373 11 10 11 9 3120 0132 0213 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 1 10 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652917816900 0.507521125373 ==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' : negation(d['c_0011_6']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0110_2'], 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_11'], '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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0101_6']), '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' : 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' : 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_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_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_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0110_2, c_0110_4, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t - 67149/1225*c_1001_11^22 + 151509/245*c_1001_11^21 - 4364368/1225*c_1001_11^20 + 16605236/1225*c_1001_11^19 - 46213379/1225*c_1001_11^18 + 3967688/49*c_1001_11^17 - 169771872/1225*c_1001_11^16 + 4849349/25*c_1001_11^15 - 278731196/1225*c_1001_11^14 + 281849151/1225*c_1001_11^13 - 253590084/1225*c_1001_11^12 + 208462057/1225*c_1001_11^11 - 158345671/1225*c_1001_11^10 + 110840316/1225*c_1001_11^9 - 71314559/1225*c_1001_11^8 + 41950606/1225*c_1001_11^7 - 22138108/1225*c_1001_11^6 + 2052681/245*c_1001_11^5 - 92418/25*c_1001_11^4 + 397704/245*c_1001_11^3 - 681328/1225*c_1001_11^2 + 38184/1225*c_1001_11 - 34996/1225, c_0011_0 - 1, c_0011_10 + c_1001_11^22 - 11*c_1001_11^21 + 61*c_1001_11^20 - 222*c_1001_11^19 + 588*c_1001_11^18 - 1197*c_1001_11^17 + 1939*c_1001_11^16 - 2568*c_1001_11^15 + 2854*c_1001_11^14 - 2738*c_1001_11^13 + 2332*c_1001_11^12 - 1800*c_1001_11^11 + 1268*c_1001_11^10 - 813*c_1001_11^9 + 469*c_1001_11^8 - 236*c_1001_11^7 + 97*c_1001_11^6 - 31*c_1001_11^5 + 7*c_1001_11^4 - 2*c_1001_11^2 + c_1001_11 - 1, c_0011_3 - c_1001_11^21 + 10*c_1001_11^20 - 51*c_1001_11^19 + 170*c_1001_11^18 - 409*c_1001_11^17 + 746*c_1001_11^16 - 1064*c_1001_11^15 + 1216*c_1001_11^14 - 1146*c_1001_11^13 + 924*c_1001_11^12 - 661*c_1001_11^11 + 422*c_1001_11^10 - 233*c_1001_11^9 + 106*c_1001_11^8 - 36*c_1001_11^7 + 13*c_1001_11^5 - 10*c_1001_11^4 + 3*c_1001_11^3 - 2*c_1001_11^2 + c_1001_11, c_0011_6 - c_1001_11^22 + 10*c_1001_11^21 - 52*c_1001_11^20 + 180*c_1001_11^19 - 459*c_1001_11^18 + 908*c_1001_11^17 - 1440*c_1001_11^16 + 1874*c_1001_11^15 - 2044*c_1001_11^14 + 1910*c_1001_11^13 - 1568*c_1001_11^12 + 1156*c_1001_11^11 - 773*c_1001_11^10 + 462*c_1001_11^9 - 240*c_1001_11^8 + 102*c_1001_11^7 - 31*c_1001_11^6 + 6*c_1001_11^4 - 4*c_1001_11^3 + c_1001_11^2 - 2*c_1001_11, c_0101_0 + c_1001_11^17 - 8*c_1001_11^16 + 33*c_1001_11^15 - 88*c_1001_11^14 + 167*c_1001_11^13 - 236*c_1001_11^12 + 258*c_1001_11^11 - 228*c_1001_11^10 + 175*c_1001_11^9 - 124*c_1001_11^8 + 82*c_1001_11^7 - 48*c_1001_11^6 + 26*c_1001_11^5 - 12*c_1001_11^4 + 4*c_1001_11^3 + c_1001_11, c_0101_1 + c_1001_11^4 - 2*c_1001_11^3 + 2*c_1001_11^2, c_0101_10 + c_1001_11, c_0101_11 - c_1001_11^22 + 10*c_1001_11^21 - 52*c_1001_11^20 + 180*c_1001_11^19 - 459*c_1001_11^18 + 908*c_1001_11^17 - 1440*c_1001_11^16 + 1874*c_1001_11^15 - 2044*c_1001_11^14 + 1910*c_1001_11^13 - 1568*c_1001_11^12 + 1156*c_1001_11^11 - 773*c_1001_11^10 + 462*c_1001_11^9 - 240*c_1001_11^8 + 102*c_1001_11^7 - 31*c_1001_11^6 + 6*c_1001_11^4 - 4*c_1001_11^3 + c_1001_11^2 - 2*c_1001_11, c_0101_2 - c_1001_11^17 + 8*c_1001_11^16 - 33*c_1001_11^15 + 88*c_1001_11^14 - 167*c_1001_11^13 + 236*c_1001_11^12 - 258*c_1001_11^11 + 228*c_1001_11^10 - 175*c_1001_11^9 + 124*c_1001_11^8 - 82*c_1001_11^7 + 48*c_1001_11^6 - 26*c_1001_11^5 + 12*c_1001_11^4 - 4*c_1001_11^3 - c_1001_11, c_0101_6 + c_1001_11^21 - 10*c_1001_11^20 + 51*c_1001_11^19 - 170*c_1001_11^18 + 409*c_1001_11^17 - 746*c_1001_11^16 + 1064*c_1001_11^15 - 1216*c_1001_11^14 + 1146*c_1001_11^13 - 924*c_1001_11^12 + 661*c_1001_11^11 - 422*c_1001_11^10 + 233*c_1001_11^9 - 106*c_1001_11^8 + 36*c_1001_11^7 - 13*c_1001_11^5 + 10*c_1001_11^4 - 3*c_1001_11^3 + 2*c_1001_11^2 - c_1001_11, c_0110_2 - c_1001_11^4 + 2*c_1001_11^3 - 2*c_1001_11^2, c_0110_4 + c_1001_11^13 - 6*c_1001_11^12 + 19*c_1001_11^11 - 38*c_1001_11^10 + 53*c_1001_11^9 - 54*c_1001_11^8 + 44*c_1001_11^7 - 32*c_1001_11^6 + 22*c_1001_11^5 - 12*c_1001_11^4 + 5*c_1001_11^3 - 2*c_1001_11^2 + c_1001_11 + 1, c_1001_11^23 - 11*c_1001_11^22 + 62*c_1001_11^21 - 231*c_1001_11^20 + 630*c_1001_11^19 - 1326*c_1001_11^18 + 2228*c_1001_11^17 - 3067*c_1001_11^16 + 3548*c_1001_11^15 - 3548*c_1001_11^14 + 3160*c_1001_11^13 - 2564*c_1001_11^12 + 1912*c_1001_11^11 - 1308*c_1001_11^10 + 820*c_1001_11^9 - 465*c_1001_11^8 + 231*c_1001_11^7 - 97*c_1001_11^6 + 38*c_1001_11^5 - 13*c_1001_11^4 + 2*c_1001_11^3 + 2*c_1001_11^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.950 Total time: 3.160 seconds, Total memory usage: 32.09MB