Magma V2.19-8 Wed Aug 21 2013 00:45:00 on localhost [Seed = 2530247009] Type ? for help. Type -D to quit. Loading file "K14n6349__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6349 geometric_solution 11.72885718 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -9 0 0 9 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677294475835 0.901080252314 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -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 0 1 -1 9 0 0 -9 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715007106984 0.998384125894 6 0 0 7 2103 0132 0321 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 -1 0 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677294475835 0.901080252314 8 9 0 4 0132 0132 0132 1230 0 0 0 0 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 8 0 -9 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.149950332837 1.289801869328 3 1 10 9 3012 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759596164247 0.922248117902 11 12 1 9 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 9 -9 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232218841421 0.637709610388 8 11 2 1 3120 0132 2103 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 9 -8 -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 0.264373894002 0.926151863926 9 10 2 12 0321 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694838289321 0.582977223532 3 12 11 6 0132 2031 1230 3120 0 0 0 0 0 0 0 0 1 0 -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 -8 0 8 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343495172162 0.589855582489 7 3 5 4 0321 0132 2031 1023 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 1 0 0 -1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236890053977 0.700365315152 11 12 7 4 2310 0321 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.068503642667 1.523725439004 5 6 10 8 0132 0132 3201 3012 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 -9 0 9 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 -0.858787821526 0.587051236913 8 5 7 10 1302 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.142184815006 0.616475417121 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_4'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1001_12'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0101_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_1001_0'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_11']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_3'], '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_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_1001_0, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 8192/4455*c_1001_4 - 2048/4455, c_0011_0 - 1, c_0011_10 - c_1001_4 + 1, c_0011_11 + c_1001_4 - 1/2, c_0011_3 + 2*c_1001_4 - 1/2, c_0011_7 - 1/2, c_0101_0 + 1/2, c_0101_1 + c_1001_4 - 3/2, c_0101_11 - c_1001_4 - 1/2, c_0101_7 - c_1001_4 - 1, c_0110_4 - c_1001_4, c_1001_0 - c_1001_4 + 1/2, c_1001_12 - 1, c_1001_4^2 - 1/2*c_1001_4 + 3/4 ], 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_1001_0, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1492281551528997/46048326092080*c_1001_4^7 + 516818520714407/46048326092080*c_1001_4^6 - 1038290820932941/1771089465080*c_1001_4^5 + 3025791436310075/9209665218416*c_1001_4^4 - 8012107528918646/2878020380755*c_1001_4^3 + 46925434488595199/46048326092080*c_1001_4^2 - 90597517837787161/46048326092080*c_1001_4 + 11790419294095627/23024163046040, c_0011_0 - 1, c_0011_10 + 79/2168*c_1001_4^7 - 3/1084*c_1001_4^6 + 1371/2168*c_1001_4^5 - 45/542*c_1001_4^4 + 6111/2168*c_1001_4^3 + 543/1084*c_1001_4^2 + 637/271*c_1001_4 - 903/542, c_0011_11 - 32/271*c_1001_4^7 - 1/271*c_1001_4^6 - 1169/542*c_1001_4^5 + 211/542*c_1001_4^4 - 5551/542*c_1001_4^3 + 91/542*c_1001_4^2 - 3631/542*c_1001_4 + 151/542, c_0011_3 + 23/542*c_1001_4^7 - 31/2168*c_1001_4^6 + 191/271*c_1001_4^5 - 465/1084*c_1001_4^4 + 3253/1084*c_1001_4^3 - 1395/1084*c_1001_4^2 + 2415/1084*c_1001_4 + 37/2168, c_0011_7 - 33/1084*c_1001_4^7 - 19/2168*c_1001_4^6 - 607/1084*c_1001_4^5 - 7/542*c_1001_4^4 - 1429/542*c_1001_4^3 - 21/542*c_1001_4^2 - 2139/1084*c_1001_4 - 869/2168, c_0101_0 - 39/542*c_1001_4^7 + 29/2168*c_1001_4^6 - 371/271*c_1001_4^5 + 435/1084*c_1001_4^4 - 7519/1084*c_1001_4^3 + 221/1084*c_1001_4^2 - 5721/1084*c_1001_4 - 1783/2168, c_0101_1 + 99/1084*c_1001_4^7 + 57/2168*c_1001_4^6 + 1821/1084*c_1001_4^5 - 187/2168*c_1001_4^4 + 4287/542*c_1001_4^3 - 1103/2168*c_1001_4^2 + 3073/542*c_1001_4 - 229/542, c_0101_11 - 275/2168*c_1001_4^7 - 17/1084*c_1001_4^6 - 621/271*c_1001_4^5 + 303/1084*c_1001_4^4 - 2819/271*c_1001_4^3 - 175/1084*c_1001_4^2 - 13489/2168*c_1001_4 + 335/1084, c_0101_7 + 79/1084*c_1001_4^7 - 3/542*c_1001_4^6 + 1371/1084*c_1001_4^5 - 631/2168*c_1001_4^4 + 6111/1084*c_1001_4^3 + 817/2168*c_1001_4^2 + 4825/1084*c_1001_4 + 93/2168, c_0110_4 - 33/542*c_1001_4^7 - 19/1084*c_1001_4^6 - 607/542*c_1001_4^5 - 327/2168*c_1001_4^4 - 1429/271*c_1001_4^3 - 3691/2168*c_1001_4^2 - 3465/1084*c_1001_4 - 925/2168, c_1001_0 - 25/542*c_1001_4^7 - 37/2168*c_1001_4^6 - 427/542*c_1001_4^5 - 297/2168*c_1001_4^4 - 3583/1084*c_1001_4^3 - 3601/2168*c_1001_4^2 - 453/271*c_1001_4 - 142/271, c_1001_12 - 79/2168*c_1001_4^7 + 3/1084*c_1001_4^6 - 1371/2168*c_1001_4^5 + 451/2168*c_1001_4^4 - 6111/2168*c_1001_4^3 + 269/2168*c_1001_4^2 - 2277/1084*c_1001_4 + 631/2168, c_1001_4^8 + 18*c_1001_4^6 - 4*c_1001_4^5 + 83*c_1001_4^4 - 4*c_1001_4^3 + 54*c_1001_4^2 - 4*c_1001_4 + 1 ], 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_1001_0, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 711132059098091/19516563001078*c_1001_4^11 - 21357547113877561/39033126002156*c_1001_4^10 - 15210150744118994/9758281500539*c_1001_4^9 - 23357635660712571/39033126002156*c_1001_4^8 + 1527222137657143/9758281500539*c_1001_4^7 - 64091845113145735/39033126002156*c_1001_4^6 - 59142023838064199/19516563001078*c_1001_4^5 + 20908618705857661/39033126002156*c_1001_4^4 + 18997793310914065/19516563001078*c_1001_4^3 - 16552579653325333/39033126002156*c_1001_4^2 - 4362248719053765/19516563001078*c_1001_4 + 4165364907563133/39033126002156, c_0011_0 - 1, c_0011_10 + 461286247/585748762*c_1001_4^11 + 6572570711/585748762*c_1001_4^10 + 14509110399/585748762*c_1001_4^9 - 6173894827/585748762*c_1001_4^8 - 4497012377/585748762*c_1001_4^7 + 21902575501/585748762*c_1001_4^6 + 22545197933/585748762*c_1001_4^5 - 31660218999/585748762*c_1001_4^4 - 2230371115/585748762*c_1001_4^3 + 10160497123/585748762*c_1001_4^2 - 380606793/585748762*c_1001_4 - 1913056833/585748762, c_0011_11 - c_1001_4, c_0011_3 - 153714880/292874381*c_1001_4^11 - 4507181571/585748762*c_1001_4^10 - 5773186437/292874381*c_1001_4^9 - 847916779/585748762*c_1001_4^8 + 1403507096/292874381*c_1001_4^7 - 11414067999/585748762*c_1001_4^6 - 9727957650/292874381*c_1001_4^5 + 11908541565/585748762*c_1001_4^4 + 3756784643/292874381*c_1001_4^3 + 848342427/585748762*c_1001_4^2 - 682564108/292874381*c_1001_4 + 182308425/585748762, c_0011_7 + 81447189/585748762*c_1001_4^11 + 537343958/292874381*c_1001_4^10 + 1319323507/585748762*c_1001_4^9 - 2064934961/292874381*c_1001_4^8 - 1102934251/585748762*c_1001_4^7 + 1418816606/292874381*c_1001_4^6 - 179768405/585748762*c_1001_4^5 - 5291130244/292874381*c_1001_4^4 + 1998536529/585748762*c_1001_4^3 - 234308480/292874381*c_1001_4^2 + 133336141/585748762*c_1001_4 - 8703784/292874381, c_0101_0 + 225982571/585748762*c_1001_4^11 + 3432493655/585748762*c_1001_4^10 + 10227049367/585748762*c_1001_4^9 + 4977786701/585748762*c_1001_4^8 - 1704079941/585748762*c_1001_4^7 + 8576434787/585748762*c_1001_4^6 + 19635683705/585748762*c_1001_4^5 - 1326281077/585748762*c_1001_4^4 - 9512105815/585748762*c_1001_4^3 - 379725467/585748762*c_1001_4^2 + 1231792075/585748762*c_1001_4 - 164900857/585748762, c_0101_1 + 225982571/585748762*c_1001_4^11 + 3432493655/585748762*c_1001_4^10 + 10227049367/585748762*c_1001_4^9 + 4977786701/585748762*c_1001_4^8 - 1704079941/585748762*c_1001_4^7 + 8576434787/585748762*c_1001_4^6 + 19635683705/585748762*c_1001_4^5 - 1326281077/585748762*c_1001_4^4 - 9512105815/585748762*c_1001_4^3 - 379725467/585748762*c_1001_4^2 + 1231792075/585748762*c_1001_4 + 420847905/585748762, c_0101_11 + 71808163/585748762*c_1001_4^11 + 1126051759/585748762*c_1001_4^10 + 3781441359/585748762*c_1001_4^9 + 3126068969/585748762*c_1001_4^8 + 327484325/585748762*c_1001_4^7 + 3015016679/585748762*c_1001_4^6 + 7184825159/585748762*c_1001_4^5 + 2190594807/585748762*c_1001_4^4 - 2736742041/585748762*c_1001_4^3 - 580302279/585748762*c_1001_4^2 - 631505311/585748762*c_1001_4 + 185544229/585748762, c_0101_7 + 225982571/585748762*c_1001_4^11 + 3432493655/585748762*c_1001_4^10 + 10227049367/585748762*c_1001_4^9 + 4977786701/585748762*c_1001_4^8 - 1704079941/585748762*c_1001_4^7 + 8576434787/585748762*c_1001_4^6 + 19635683705/585748762*c_1001_4^5 - 1326281077/585748762*c_1001_4^4 - 9512105815/585748762*c_1001_4^3 - 379725467/585748762*c_1001_4^2 + 1231792075/585748762*c_1001_4 + 420847905/585748762, c_0110_4 + 463606821/292874381*c_1001_4^11 + 13331774027/585748762*c_1001_4^10 + 15512343979/292874381*c_1001_4^9 - 6533537243/585748762*c_1001_4^8 - 2771176842/292874381*c_1001_4^7 + 42340036621/585748762*c_1001_4^6 + 24782988351/292874381*c_1001_4^5 - 50579348259/585748762*c_1001_4^4 - 1698683357/292874381*c_1001_4^3 + 12628861465/585748762*c_1001_4^2 - 162984759/292874381*c_1001_4 - 1730517613/585748762, c_1001_0 - 463606821/292874381*c_1001_4^11 - 13331774027/585748762*c_1001_4^10 - 15512343979/292874381*c_1001_4^9 + 6533537243/585748762*c_1001_4^8 + 2771176842/292874381*c_1001_4^7 - 42340036621/585748762*c_1001_4^6 - 24782988351/292874381*c_1001_4^5 + 50579348259/585748762*c_1001_4^4 + 1698683357/292874381*c_1001_4^3 - 12628861465/585748762*c_1001_4^2 + 162984759/292874381*c_1001_4 + 1730517613/585748762, c_1001_12 - 128782763/292874381*c_1001_4^11 - 1869619106/292874381*c_1001_4^10 - 4607926759/292874381*c_1001_4^9 - 288800835/292874381*c_1001_4^8 - 592212019/292874381*c_1001_4^7 - 5835415803/292874381*c_1001_4^6 - 7588319847/292874381*c_1001_4^5 + 4369553533/292874381*c_1001_4^4 - 899889386/292874381*c_1001_4^3 - 176173440/292874381*c_1001_4^2 + 105820305/292874381*c_1001_4 + 110203268/292874381, c_1001_4^12 + 14*c_1001_4^11 + 28*c_1001_4^10 - 20*c_1001_4^9 - 4*c_1001_4^8 + 48*c_1001_4^7 + 36*c_1001_4^6 - 76*c_1001_4^5 + 16*c_1001_4^4 + 16*c_1001_4^3 - 6*c_1001_4^2 - 2*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.220 Total time: 9.429 seconds, Total memory usage: 155.03MB