Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 206409967] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0584 geometric_solution 4.60077167 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 1.861916383068 0.567638394577 0 2 3 0 3201 0132 0132 0132 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 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 0.448006016088 0.756723279498 4 1 3 3 0132 0132 1302 2031 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 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 0.402562473967 0.401170922475 2 2 4 1 2031 1302 0132 0132 0 0 0 0 0 1 0 -1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402562473967 0.401170922475 2 5 5 3 0132 0132 1023 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 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 0.691897052731 0.706847442469 6 4 4 6 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.430342124539 0.333867764768 5 6 6 5 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.594901992406 0.130070620116 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 3397072167738351/177862255530197*c_0101_6^17 + 1794116327788770/177862255530197*c_0101_6^16 - 49539746082442177/177862255530197*c_0101_6^15 + 11036595503328569/177862255530197*c_0101_6^14 + 226525517270279889/177862255530197*c_0101_6^13 - 219237765915149754/177862255530197*c_0101_6^12 - 420993215684730158/177862255530197*c_0101_6^11 + 484942013220941996/177862255530197*c_0101_6^10 + 676582828864148217/177862255530197*c_0101_6^9 - 612806676854854050/177862255530197*c_0101_6^8 - 504592196273868945/177862255530197*c_0101_6^7 + 12228853755015778/25408893647171*c_0101_6^6 + 62051736631601876/25408893647171*c_0101_6^5 + 59471355222832953/177862255530197*c_0101_6^4 - 158725051157020022/177862255530197*c_0101_6^3 - 34691067132090701/177862255530197*c_0101_6^2 + 14241575111417096/177862255530197*c_0101_6 + 10686801275360369/177862255530197, c_0011_0 - 1, c_0011_1 - 17356252529038/25408893647171*c_0101_6^17 + 14448973188539/25408893647171*c_0101_6^16 + 270333985762120/25408893647171*c_0101_6^15 - 393566936192938/25408893647171*c_0101_6^14 - 1142084033368037/25408893647171*c_0101_6^13 + 2647692342217534/25408893647171*c_0101_6^12 + 884209715405256/25408893647171*c_0101_6^11 - 5421239838574523/25408893647171*c_0101_6^10 - 639503810844835/25408893647171*c_0101_6^9 + 7765078231790652/25408893647171*c_0101_6^8 - 780600562600006/25408893647171*c_0101_6^7 - 3503354901297113/25408893647171*c_0101_6^6 - 2019671085500708/25408893647171*c_0101_6^5 + 1852042358918706/25408893647171*c_0101_6^4 + 1192461872262585/25408893647171*c_0101_6^3 - 577688476546571/25408893647171*c_0101_6^2 - 118832365769889/25408893647171*c_0101_6 + 32684275053851/25408893647171, c_0011_3 + 76079671320514/25408893647171*c_0101_6^17 + 59423315822552/25408893647171*c_0101_6^16 - 1105710101974980/25408893647171*c_0101_6^15 - 30375990513965/25408893647171*c_0101_6^14 + 5234040563512880/25408893647171*c_0101_6^13 - 3739079570123582/25408893647171*c_0101_6^12 - 11096377614559329/25408893647171*c_0101_6^11 + 9302377218356428/25408893647171*c_0101_6^10 + 18358689144621398/25408893647171*c_0101_6^9 - 11613675332552844/25408893647171*c_0101_6^8 - 15304838943253950/25408893647171*c_0101_6^7 + 1478271524237422/25408893647171*c_0101_6^6 + 10280626610357615/25408893647171*c_0101_6^5 + 2778721143211189/25408893647171*c_0101_6^4 - 3976058582499370/25408893647171*c_0101_6^3 - 1156409611620803/25408893647171*c_0101_6^2 + 556719038990337/25408893647171*c_0101_6 + 156525671385210/25408893647171, c_0101_0 + 130908516143871/25408893647171*c_0101_6^17 + 86414519532170/25408893647171*c_0101_6^16 - 1916312151664673/25408893647171*c_0101_6^15 + 169655898312642/25408893647171*c_0101_6^14 + 9025889718372714/25408893647171*c_0101_6^13 - 7423219407753458/25408893647171*c_0101_6^12 - 18397063231309155/25408893647171*c_0101_6^11 + 17941235867535960/25408893647171*c_0101_6^10 + 30154459834781333/25408893647171*c_0101_6^9 - 23095711587118562/25408893647171*c_0101_6^8 - 24871403202700758/25408893647171*c_0101_6^7 + 4535384215671177/25408893647171*c_0101_6^6 + 18290009477809232/25408893647171*c_0101_6^5 + 3517705245865156/25408893647171*c_0101_6^4 - 7366341121626084/25408893647171*c_0101_6^3 - 1803974462578332/25408893647171*c_0101_6^2 + 1055375745233871/25408893647171*c_0101_6 + 293643556847402/25408893647171, c_0101_4 - 114557961005830/25408893647171*c_0101_6^17 - 67586818847681/25408893647171*c_0101_6^16 + 1677772759903278/25408893647171*c_0101_6^15 - 270744479913376/25408893647171*c_0101_6^14 - 7824354028870403/25408893647171*c_0101_6^13 + 7067240902503932/25408893647171*c_0101_6^12 + 15343925316191207/25408893647171*c_0101_6^11 - 16674437021232655/25408893647171*c_0101_6^10 - 24622722710354907/25408893647171*c_0101_6^9 + 21648315180734674/25408893647171*c_0101_6^8 + 19269140539814288/25408893647171*c_0101_6^7 - 5049121501758482/25408893647171*c_0101_6^6 - 14921922852670842/25408893647171*c_0101_6^5 - 1938755509080861/25408893647171*c_0101_6^4 + 6276997194300784/25408893647171*c_0101_6^3 + 991907877844077/25408893647171*c_0101_6^2 - 854540378396543/25408893647171*c_0101_6 - 192997201231909/25408893647171, c_0101_5 - 66789827729609/25408893647171*c_0101_6^17 - 19962893095909/25408893647171*c_0101_6^16 + 990445915275955/25408893647171*c_0101_6^15 - 436085615116257/25408893647171*c_0101_6^14 - 4521942596300256/25408893647171*c_0101_6^13 + 5365808873607417/25408893647171*c_0101_6^12 + 7788778818619329/25408893647171*c_0101_6^11 - 11998122998592514/25408893647171*c_0101_6^10 - 11878688880574562/25408893647171*c_0101_6^9 + 16168908958539707/25408893647171*c_0101_6^8 + 8250758049152565/25408893647171*c_0101_6^7 - 5168354399150893/25408893647171*c_0101_6^6 - 8473356916283638/25408893647171*c_0101_6^5 + 700770327790494/25408893647171*c_0101_6^4 + 3842518909394365/25408893647171*c_0101_6^3 - 55818247443508/25408893647171*c_0101_6^2 - 513322843938339/25408893647171*c_0101_6 - 59642867699651/25408893647171, c_0101_6^18 - 15*c_0101_6^16 + 11*c_0101_6^15 + 67*c_0101_6^14 - 102*c_0101_6^13 - 98*c_0101_6^12 + 225*c_0101_6^11 + 130*c_0101_6^10 - 317*c_0101_6^9 - 58*c_0101_6^8 + 145*c_0101_6^7 + 105*c_0101_6^6 - 61*c_0101_6^5 - 65*c_0101_6^4 + 24*c_0101_6^3 + 13*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB