Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 3751690931] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3135 geometric_solution 6.29476434 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 1 -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 1 -1 0 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 0.247366893623 0.741473689935 0 2 3 3 0132 2310 0213 0132 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0.256684660291 1.070055058606 4 4 0 1 0132 1230 0132 3201 0 0 1 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 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 0.256684660291 1.070055058606 5 1 1 4 0132 0213 0132 3201 1 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 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437879107548 0.630357977374 2 3 2 5 0132 2310 3012 0321 0 0 0 1 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788022434863 0.883682202237 3 4 6 6 0132 0321 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542217213888 2.061812045471 5 6 5 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.587560189471 0.682099846463 ==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_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : 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_3, c_0011_6, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 17124931773/72675985195*c_0101_5^10 - 1132747720223/581407881560*c_0101_5^9 + 3132316455269/581407881560*c_0101_5^8 + 9021215395705/116281576312*c_0101_5^7 + 24801521967489/72675985195*c_0101_5^6 + 161635862470523/290703940780*c_0101_5^5 - 13854079604023/290703940780*c_0101_5^4 - 80828113581412/72675985195*c_0101_5^3 - 700894091522041/581407881560*c_0101_5^2 - 145112384495797/290703940780*c_0101_5 - 43746159102729/581407881560, c_0011_0 - 1, c_0011_2 + 709891/229546*c_0101_5^10 - 187435/229546*c_0101_5^9 - 16109639/229546*c_0101_5^8 - 48016568/114773*c_0101_5^7 - 87471000/114773*c_0101_5^6 + 10123801/114773*c_0101_5^5 + 175803836/114773*c_0101_5^4 + 329814423/229546*c_0101_5^3 + 47502401/114773*c_0101_5^2 - 4192749/229546*c_0101_5 - 4357830/114773, c_0011_3 - 483635825/182259524*c_0101_5^10 + 213689043/182259524*c_0101_5^9 + 10843188575/182259524*c_0101_5^8 + 15910067316/45564881*c_0101_5^7 + 54912383475/91129762*c_0101_5^6 - 11527919081/91129762*c_0101_5^5 - 56286505778/45564881*c_0101_5^4 - 200266318867/182259524*c_0101_5^3 - 27970082043/91129762*c_0101_5^2 + 3149742649/182259524*c_0101_5 + 1252897703/45564881, c_0011_6 - 83957737/182259524*c_0101_5^10 - 18440985/182259524*c_0101_5^9 + 1962788751/182259524*c_0101_5^8 + 3052758235/45564881*c_0101_5^7 + 12602077251/91129762*c_0101_5^6 + 1222991007/91129762*c_0101_5^5 - 12033472751/45564881*c_0101_5^4 - 51473444243/182259524*c_0101_5^3 - 8036976067/91129762*c_0101_5^2 + 353942105/182259524*c_0101_5 + 367465015/45564881, c_0101_0 + 80017629/182259524*c_0101_5^10 + 64865653/182259524*c_0101_5^9 - 1947864791/182259524*c_0101_5^8 - 3152510180/45564881*c_0101_5^7 - 14539590525/91129762*c_0101_5^6 - 3489621087/91129762*c_0101_5^5 + 13507617114/45564881*c_0101_5^4 + 61606332995/182259524*c_0101_5^3 + 9746824351/91129762*c_0101_5^2 - 179300057/182259524*c_0101_5 - 477160807/45564881, c_0101_4 + 1, c_0101_5^11 + c_0101_5^10 - 23*c_0101_5^9 - 164*c_0101_5^8 - 418*c_0101_5^7 - 286*c_0101_5^6 + 528*c_0101_5^5 + 1095*c_0101_5^4 + 730*c_0101_5^3 + 167*c_0101_5^2 - 20*c_0101_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB