Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 644332228] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2046 geometric_solution 5.57744947 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 0 0 0 0 0 -1 0 1 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 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 -0.388386683326 0.655605692534 0 4 3 5 0132 0132 0213 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 -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 0 0 0 0 0 1.013545676334 0.645956222098 6 0 3 0 0132 0132 3201 2103 0 0 0 0 0 1 -1 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 0 0 -0.388386683326 0.655605692534 2 1 6 0 2310 0213 3120 0132 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 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 -0.171663565803 0.384196000699 6 1 4 4 1023 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705903208022 0.960746560710 5 6 1 5 3012 2310 0132 1230 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 -1 1 -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 0.840338347021 0.577670207944 2 4 3 5 0132 1023 3120 3201 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 0 0 0 0 0 0 0 0 0 0 1.013545676334 0.645956222098 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0011_5'])})} 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_3, c_0011_5, c_0101_0, c_0101_4, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 24071051/4411125*c_0110_4^10 - 18211024/882225*c_0110_4^9 + 153523453/4411125*c_0110_4^8 - 230875211/4411125*c_0110_4^7 + 27325999/490125*c_0110_4^6 + 13993643/882225*c_0110_4^5 - 9397088/4411125*c_0110_4^4 - 13591213/882225*c_0110_4^3 - 17627461/163375*c_0110_4^2 + 84872731/882225*c_0110_4 - 90792142/1470375, c_0011_0 - 1, c_0011_3 + 130987/3430875*c_0110_4^10 - 32888/686175*c_0110_4^9 - 98314/3430875*c_0110_4^8 + 80093/3430875*c_0110_4^7 - 38648/163375*c_0110_4^6 + 390991/686175*c_0110_4^5 + 1310069/3430875*c_0110_4^4 + 71917/98025*c_0110_4^3 - 633288/1143625*c_0110_4^2 - 59803/686175*c_0110_4 + 1117421/1143625, c_0011_5 + 1093346/10292625*c_0110_4^10 - 633604/2058525*c_0110_4^9 + 4705963/10292625*c_0110_4^8 - 7749206/10292625*c_0110_4^7 + 111422/163375*c_0110_4^6 + 872603/2058525*c_0110_4^5 + 8606452/10292625*c_0110_4^4 + 93011/294075*c_0110_4^3 - 1484243/1143625*c_0110_4^2 + 2711626/2058525*c_0110_4 + 68843/3430875, c_0101_0 + 117916/2058525*c_0110_4^10 - 86579/411705*c_0110_4^9 + 674798/2058525*c_0110_4^8 - 874501/2058525*c_0110_4^7 + 12862/32675*c_0110_4^6 + 179188/411705*c_0110_4^5 - 484858/2058525*c_0110_4^4 - 12059/58815*c_0110_4^3 - 155553/228725*c_0110_4^2 + 356801/411705*c_0110_4 + 63328/686175, c_0101_4 - 2194/163375*c_0110_4^10 + 1856/32675*c_0110_4^9 - 23407/163375*c_0110_4^8 + 35984/163375*c_0110_4^7 - 37304/163375*c_0110_4^6 + 1533/32675*c_0110_4^5 + 25722/163375*c_0110_4^4 - 1553/32675*c_0110_4^3 - 56182/163375*c_0110_4^2 - 14739/32675*c_0110_4 + 19069/163375, c_0101_6 - 130987/3430875*c_0110_4^10 + 32888/686175*c_0110_4^9 + 98314/3430875*c_0110_4^8 - 80093/3430875*c_0110_4^7 + 38648/163375*c_0110_4^6 - 390991/686175*c_0110_4^5 - 1310069/3430875*c_0110_4^4 - 71917/98025*c_0110_4^3 + 633288/1143625*c_0110_4^2 + 59803/686175*c_0110_4 - 1117421/1143625, c_0110_4^11 - 4*c_0110_4^10 + 8*c_0110_4^9 - 13*c_0110_4^8 + 15*c_0110_4^7 - 4*c_0110_4^6 + 2*c_0110_4^5 + 2*c_0110_4^4 - 12*c_0110_4^3 + 28*c_0110_4^2 - 21*c_0110_4 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB