Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 627358185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1600 geometric_solution 5.36457194 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 0 0 0 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 0.507246730471 0.225974468953 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -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 1 -1 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 1.121045579391 0.945280223439 4 1 5 3 0132 0132 0132 1230 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 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 1.167292024509 0.877566055454 2 5 1 4 3012 1023 0132 1023 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 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 1.167292024509 0.877566055454 2 4 4 3 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.010061170020 0.626562978484 3 6 6 2 1023 0132 1023 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807135313806 0.308144765219 6 5 5 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.054351952959 0.372353631309 ==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' : 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_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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 198374904773034407/30674042946348632*c_0101_6^14 + 749011332658917041/30674042946348632*c_0101_6^13 - 3774515213608383/264431404709902*c_0101_6^12 + 6431998232184748063/61348085892697264*c_0101_6^11 + 248984740153786369/7668510736587158*c_0101_6^10 - 2581103292919761435/7668510736587158*c_0101_6^9 - 14258180773948288683/61348085892697264*c_0101_6^8 - 3205531418376485741/7668510736587158*c_0101_6^7 + 23114231652580237919/30674042946348632*c_0101_6^6 - 2813445857525863461/61348085892697264*c_0101_6^5 + 6656298980402106577/15337021473174316*c_0101_6^4 - 462121057135612681/2115451237679216*c_0101_6^3 + 836659961144826679/7668510736587158*c_0101_6^2 - 2459536191203642511/61348085892697264*c_0101_6 + 879142987590235543/61348085892697264, c_0011_0 - 1, c_0011_3 + 601180433992141/528862809419804*c_0101_6^14 - 1078389803393275/264431404709902*c_0101_6^13 + 422540833200183/264431404709902*c_0101_6^12 - 18608939349782089/1057725618839608*c_0101_6^11 - 9798834222629337/1057725618839608*c_0101_6^10 + 63017666446803863/1057725618839608*c_0101_6^9 + 7009038753264254/132215702354951*c_0101_6^8 + 9962220771866644/132215702354951*c_0101_6^7 - 65640214217691133/528862809419804*c_0101_6^6 - 24298726439276763/1057725618839608*c_0101_6^5 - 67053565458393799/1057725618839608*c_0101_6^4 + 3838519457833086/132215702354951*c_0101_6^3 - 963542551232980/132215702354951*c_0101_6^2 + 4099761054584269/1057725618839608*c_0101_6 - 157078129933554/132215702354951, c_0101_0 + 303588837943461/264431404709902*c_0101_6^14 - 1087533039088673/264431404709902*c_0101_6^13 + 440734199266823/264431404709902*c_0101_6^12 - 9522059821023107/528862809419804*c_0101_6^11 - 1247576298962491/132215702354951*c_0101_6^10 + 31209623067831393/528862809419804*c_0101_6^9 + 27970648528329739/528862809419804*c_0101_6^8 + 42405167124695013/528862809419804*c_0101_6^7 - 63511544190282705/528862809419804*c_0101_6^6 - 2365747701719193/132215702354951*c_0101_6^5 - 37547700567060471/528862809419804*c_0101_6^4 + 12995114340661439/528862809419804*c_0101_6^3 - 6658698181159683/528862809419804*c_0101_6^2 + 1041611965614025/264431404709902*c_0101_6 - 252276808156677/264431404709902, c_0101_1 - 117279518626655/132215702354951*c_0101_6^14 + 853635359200865/264431404709902*c_0101_6^13 - 403737326429789/264431404709902*c_0101_6^12 + 1874060465110387/132215702354951*c_0101_6^11 + 3442091412133111/528862809419804*c_0101_6^10 - 11972427473050055/264431404709902*c_0101_6^9 - 19782279924176119/528862809419804*c_0101_6^8 - 33303957271512247/528862809419804*c_0101_6^7 + 49048386577315339/528862809419804*c_0101_6^6 + 3138307096787109/528862809419804*c_0101_6^5 + 7855320486842547/132215702354951*c_0101_6^4 - 9772583217050531/528862809419804*c_0101_6^3 + 5321288181081981/528862809419804*c_0101_6^2 - 1490720921258127/528862809419804*c_0101_6 + 34747513564227/264431404709902, c_0101_2 - 8044089055452/132215702354951*c_0101_6^14 + 174527763742435/528862809419804*c_0101_6^13 - 29311824313603/132215702354951*c_0101_6^12 + 21078401401543/132215702354951*c_0101_6^11 - 968203610261563/1057725618839608*c_0101_6^10 - 8566380906085697/1057725618839608*c_0101_6^9 + 634028370715057/1057725618839608*c_0101_6^8 + 8073167073976513/528862809419804*c_0101_6^7 + 14137976695976677/528862809419804*c_0101_6^6 + 1586711944643327/264431404709902*c_0101_6^5 - 28254551572747303/1057725618839608*c_0101_6^4 - 15602022466509413/1057725618839608*c_0101_6^3 - 4469109592906791/528862809419804*c_0101_6^2 + 1648051799845189/528862809419804*c_0101_6 - 307601458480027/1057725618839608, c_0101_5 - 337095298187647/1057725618839608*c_0101_6^14 + 1394517417602689/1057725618839608*c_0101_6^13 - 268922169616607/264431404709902*c_0101_6^12 + 10499538901654823/2115451237679216*c_0101_6^11 - 2313222186842/132215702354951*c_0101_6^10 - 2514796694282753/132215702354951*c_0101_6^9 - 13142932358593299/2115451237679216*c_0101_6^8 - 1292739465872548/132215702354951*c_0101_6^7 + 51444244035429135/1057725618839608*c_0101_6^6 - 19379609262703413/2115451237679216*c_0101_6^5 + 4806381179364499/528862809419804*c_0101_6^4 - 37808235954290237/2115451237679216*c_0101_6^3 + 544474206689328/132215702354951*c_0101_6^2 - 5744624703946471/2115451237679216*c_0101_6 + 257091607771983/2115451237679216, c_0101_6^15 - 4*c_0101_6^14 + 3*c_0101_6^13 - 33/2*c_0101_6^12 - 3/2*c_0101_6^11 + 54*c_0101_6^10 + 49/2*c_0101_6^9 + 107/2*c_0101_6^8 - 133*c_0101_6^7 + 61/2*c_0101_6^6 - 123/2*c_0101_6^5 + 99/2*c_0101_6^4 - 43/2*c_0101_6^3 + 17/2*c_0101_6^2 - 3*c_0101_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB