Magma V2.19-8 Wed Aug 21 2013 00:16:18 on localhost [Seed = 3120551064] Type ? for help. Type -D to quit. Loading file "K13n501__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n501 geometric_solution 12.08256071 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 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 0 0 0 0.566977885972 0.929526604620 0 4 6 5 0132 0132 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 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 0.514428975735 0.489649188918 0 0 8 7 3012 0132 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 1 0 -1 -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 0.411802797175 0.883977153661 5 6 9 0 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532894509114 0.234938072247 6 1 10 11 0321 0132 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843863923575 0.713658395493 3 11 1 10 0132 2103 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 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 0.769912745993 0.818374636351 4 3 12 1 0321 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671529360952 1.026112755474 10 11 2 9 1302 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.565585772019 1.088657431794 9 12 10 2 2031 2031 1302 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 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329090952261 0.669870605777 7 12 8 3 3012 2103 1302 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 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 1.330414803609 1.337808077960 8 7 5 4 2031 2031 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 1 0 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418644811820 0.743323472836 7 5 4 12 1023 2103 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 -1 1 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 0.199338891447 1.041730623353 8 9 11 6 1302 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858288120968 0.554580246694 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_4'], 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_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' : negation(d['c_0011_6']), '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' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_1100_8' : d['c_0101_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_12'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : 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' : d['1'], 's_1_1' : negation(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_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0101_4']), 'c_0101_12' : negation(d['c_0011_8']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_3, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_4, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5692033/150784*c_1100_1^7 - 43293325/150784*c_1100_1^6 - 88756473/150784*c_1100_1^5 - 115638945/150784*c_1100_1^4 - 182061197/75392*c_1100_1^3 - 46341027/75392*c_1100_1^2 - 18749113/9424*c_1100_1 + 17837659/18848, c_0011_0 - 1, c_0011_10 - 29/128*c_1100_1^7 - 217/128*c_1100_1^6 - 429/128*c_1100_1^5 - 541/128*c_1100_1^4 - 877/64*c_1100_1^3 - 111/64*c_1100_1^2 - 41/4*c_1100_1 + 123/16, c_0011_11 + 15/64*c_1100_1^7 + 111/64*c_1100_1^6 + 211/64*c_1100_1^5 + 259/64*c_1100_1^4 + 449/32*c_1100_1^3 + 29/32*c_1100_1^2 + 89/8*c_1100_1 - 67/8, c_0011_12 + 39/128*c_1100_1^7 + 291/128*c_1100_1^6 + 559/128*c_1100_1^5 + 671/128*c_1100_1^4 + 1171/64*c_1100_1^3 + 109/64*c_1100_1^2 + 113/8*c_1100_1 - 157/16, c_0011_3 - 9/128*c_1100_1^7 - 69/128*c_1100_1^6 - 145/128*c_1100_1^5 - 185/128*c_1100_1^4 - 269/64*c_1100_1^3 - 59/64*c_1100_1^2 - 23/8*c_1100_1 + 43/16, c_0011_6 + 3/32*c_1100_1^7 + 23/32*c_1100_1^6 + 47/32*c_1100_1^5 + 59/32*c_1100_1^4 + 97/16*c_1100_1^3 + 29/16*c_1100_1^2 + 19/4*c_1100_1 - 11/4, c_0011_8 + 9/128*c_1100_1^7 + 69/128*c_1100_1^6 + 145/128*c_1100_1^5 + 185/128*c_1100_1^4 + 269/64*c_1100_1^3 + 59/64*c_1100_1^2 + 23/8*c_1100_1 - 43/16, c_0011_9 + 9/128*c_1100_1^7 + 69/128*c_1100_1^6 + 137/128*c_1100_1^5 + 153/128*c_1100_1^4 + 273/64*c_1100_1^3 + 51/64*c_1100_1^2 + 3*c_1100_1 - 39/16, c_0101_0 + 43/128*c_1100_1^7 + 319/128*c_1100_1^6 + 611/128*c_1100_1^5 + 763/128*c_1100_1^4 + 1303/64*c_1100_1^3 + 65/64*c_1100_1^2 + 133/8*c_1100_1 - 193/16, c_0101_10 - 9/128*c_1100_1^7 - 69/128*c_1100_1^6 - 145/128*c_1100_1^5 - 185/128*c_1100_1^4 - 269/64*c_1100_1^3 - 59/64*c_1100_1^2 - 23/8*c_1100_1 + 43/16, c_0101_4 + 11/128*c_1100_1^7 + 79/128*c_1100_1^6 + 147/128*c_1100_1^5 + 203/128*c_1100_1^4 + 335/64*c_1100_1^3 + 1/64*c_1100_1^2 + 35/8*c_1100_1 - 57/16, c_1001_3 + 5/32*c_1100_1^7 + 37/32*c_1100_1^6 + 71/32*c_1100_1^5 + 89/32*c_1100_1^4 + 19/2*c_1100_1^3 + 13/16*c_1100_1^2 + 59/8*c_1100_1 - 5, c_1100_1^8 + 7*c_1100_1^7 + 11*c_1100_1^6 + 11*c_1100_1^5 + 52*c_1100_1^4 - 22*c_1100_1^3 + 44*c_1100_1^2 - 56*c_1100_1 + 16 ], 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_3, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_4, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1138091/1656270*c_1100_1^10 + 281026/118305*c_1100_1^9 - 3583618/828135*c_1100_1^8 + 2822021/331254*c_1100_1^7 - 8596828/828135*c_1100_1^6 + 8201353/552090*c_1100_1^5 - 13403/990*c_1100_1^4 + 3950215/331254*c_1100_1^3 - 725682/92015*c_1100_1^2 + 1064989/331254*c_1100_1 - 1182067/1656270, c_0011_0 - 1, c_0011_10 + c_1100_1^10 - 11/3*c_1100_1^9 + 22/3*c_1100_1^8 - 14*c_1100_1^7 + 52/3*c_1100_1^6 - 25*c_1100_1^5 + 22*c_1100_1^4 - 67/3*c_1100_1^3 + 11*c_1100_1^2 - 7*c_1100_1 + 2/3, c_0011_11 - 4/3*c_1100_1^10 + 19/3*c_1100_1^9 - 43/3*c_1100_1^8 + 80/3*c_1100_1^7 - 118/3*c_1100_1^6 + 52*c_1100_1^5 - 176/3*c_1100_1^4 + 157/3*c_1100_1^3 - 40*c_1100_1^2 + 61/3*c_1100_1 - 29/3, c_0011_12 - 2/3*c_1100_1^10 + 7/3*c_1100_1^9 - 4*c_1100_1^8 + 22/3*c_1100_1^7 - 9*c_1100_1^6 + 13*c_1100_1^5 - 34/3*c_1100_1^4 + 10*c_1100_1^3 - 6*c_1100_1^2 + 11/3*c_1100_1 - 1, c_0011_3 + 2*c_1100_1^10 - 22/3*c_1100_1^9 + 44/3*c_1100_1^8 - 29*c_1100_1^7 + 113/3*c_1100_1^6 - 55*c_1100_1^5 + 53*c_1100_1^4 - 155/3*c_1100_1^3 + 35*c_1100_1^2 - 19*c_1100_1 + 25/3, c_0011_6 + c_1100_1^10 - 7/3*c_1100_1^9 + 8/3*c_1100_1^8 - 6*c_1100_1^7 + 8/3*c_1100_1^6 - 8*c_1100_1^5 - c_1100_1^4 - 8/3*c_1100_1^3 - 4*c_1100_1^2 + c_1100_1 - 5/3, c_0011_8 + 1/3*c_1100_1^10 - 2/3*c_1100_1^9 + c_1100_1^8 - 8/3*c_1100_1^7 + c_1100_1^6 - 4*c_1100_1^5 - 1/3*c_1100_1^4 - 2*c_1100_1^3 - 2*c_1100_1^2 + 5/3*c_1100_1 - 1, c_0011_9 + 1, c_0101_0 - 2/3*c_1100_1^10 + 2*c_1100_1^9 - 10/3*c_1100_1^8 + 22/3*c_1100_1^7 - 25/3*c_1100_1^6 + 13*c_1100_1^5 - 34/3*c_1100_1^4 + 34/3*c_1100_1^3 - 9*c_1100_1^2 + 11/3*c_1100_1 - 5/3, c_0101_10 - 1/3*c_1100_1^10 + 2/3*c_1100_1^9 - c_1100_1^8 + 8/3*c_1100_1^7 - c_1100_1^6 + 4*c_1100_1^5 + 1/3*c_1100_1^4 + 2*c_1100_1^3 + 2*c_1100_1^2 - 5/3*c_1100_1 + 1, c_0101_4 - 1/3*c_1100_1^10 + 1/3*c_1100_1^9 - 1/3*c_1100_1^8 + 8/3*c_1100_1^7 - 4/3*c_1100_1^6 + 6*c_1100_1^5 - 2/3*c_1100_1^4 + 22/3*c_1100_1^3 - 2*c_1100_1^2 + 10/3*c_1100_1 + 1/3, c_1001_3 - 2/3*c_1100_1^10 + c_1100_1^9 - 1/3*c_1100_1^8 + 4/3*c_1100_1^7 + 11/3*c_1100_1^6 + c_1100_1^5 + 35/3*c_1100_1^4 - 8/3*c_1100_1^3 + 14*c_1100_1^2 - 4/3*c_1100_1 + 19/3, c_1100_1^11 - 4*c_1100_1^10 + 9*c_1100_1^9 - 18*c_1100_1^8 + 25*c_1100_1^7 - 37*c_1100_1^6 + 38*c_1100_1^5 - 40*c_1100_1^4 + 28*c_1100_1^3 - 19*c_1100_1^2 + 8*c_1100_1 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.940 Total time: 5.150 seconds, Total memory usage: 122.16MB