Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 2598045601] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2426 geometric_solution 5.77480726 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0.504111978836 0.281597698949 2 0 3 0 0132 2310 0132 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 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 0.983973083082 0.562960227552 1 4 3 5 0132 0132 3012 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 -1 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 0 0 0 0.978011517923 0.870894318258 5 2 4 1 3201 1230 1023 0132 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 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 0.978011517923 0.870894318258 4 2 3 4 3012 0132 1023 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 1 0 -1 1 0 -1 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 0.426149650144 0.730606332747 6 6 2 3 0132 3201 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 0.324842274762 1.089848468766 5 6 5 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.751832513866 0.560426115524 ==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' : negation(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' : 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_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_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_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 1738359327381707/5803479823072*c_0101_0*c_0101_3^13 - 1189893941974259/1450869955768*c_0101_0*c_0101_3^12 + 15528401635408197/5803479823072*c_0101_0*c_0101_3^11 + 51231085393581791/5803479823072*c_0101_0*c_0101_3^10 - 32710046516828465/5803479823072*c_0101_0*c_0101_3^9 - 66553746863026871/2901739911536*c_0101_0*c_0101_3^8 - 12511563529602029/725434977884*c_0101_0*c_0101_3^7 - 39081952926083833/1450869955768*c_0101_0*c_0101_3^6 + 497977351599817625/5803479823072*c_0101_0*c_0101_3^5 + 835364265619900509/5803479823072*c_0101_0*c_0101_3^4 - 319386945821583769/2901739911536*c_0101_0*c_0101_3^3 - 9705774085369997/181358744471*c_0101_0*c_0101_3^2 + 98818232657300075/5803479823072*c_0101_0*c_0101_3 + 14203658398333149/2901739911536*c_0101_0, c_0011_0 - 1, c_0011_1 + 3193700558710/181358744471*c_0101_3^13 + 8905597832382/181358744471*c_0101_3^12 - 28110415584524/181358744471*c_0101_3^11 - 95624445853183/181358744471*c_0101_3^10 + 55554866355255/181358744471*c_0101_3^9 + 248240339053845/181358744471*c_0101_3^8 + 195716054102351/181358744471*c_0101_3^7 + 294788926321814/181358744471*c_0101_3^6 - 901393752165099/181358744471*c_0101_3^5 - 1582827287247248/181358744471*c_0101_3^4 + 1102819363351642/181358744471*c_0101_3^3 + 640007309450536/181358744471*c_0101_3^2 - 163310267597831/181358744471*c_0101_3 - 64791098170757/181358744471, c_0011_3 - 21523719385503/1450869955768*c_0101_0*c_0101_3^13 - 30004846243459/725434977884*c_0101_0*c_0101_3^12 + 189458930477357/1450869955768*c_0101_0*c_0101_3^11 + 644328545874425/1450869955768*c_0101_0*c_0101_3^10 - 374597923777111/1450869955768*c_0101_0*c_0101_3^9 - 209058753850284/181358744471*c_0101_0*c_0101_3^8 - 164789932827731/181358744471*c_0101_0*c_0101_3^7 - 496644384513897/362717488942*c_0101_0*c_0101_3^6 + 6075214816728261/1450869955768*c_0101_0*c_0101_3^5 + 10662688489663783/1450869955768*c_0101_0*c_0101_3^4 - 929455494070995/181358744471*c_0101_0*c_0101_3^3 - 538309020713234/181358744471*c_0101_0*c_0101_3^2 + 1098313623823399/1450869955768*c_0101_0*c_0101_3 + 109112645160711/362717488942*c_0101_0, c_0011_5 - 16225679109529/1450869955768*c_0101_0*c_0101_3^13 - 22600701663913/725434977884*c_0101_0*c_0101_3^12 + 142935553817043/1450869955768*c_0101_0*c_0101_3^11 + 485446951187743/1450869955768*c_0101_0*c_0101_3^10 - 283490935834265/1450869955768*c_0101_0*c_0101_3^9 - 157557931640977/181358744471*c_0101_0*c_0101_3^8 - 123923205883979/181358744471*c_0101_0*c_0101_3^7 - 373775802239211/362717488942*c_0101_0*c_0101_3^6 + 4584126471697851/1450869955768*c_0101_0*c_0101_3^5 + 8029877810371297/1450869955768*c_0101_0*c_0101_3^4 - 702794943175485/181358744471*c_0101_0*c_0101_3^3 - 404772284249901/181358744471*c_0101_0*c_0101_3^2 + 833150249286241/1450869955768*c_0101_0*c_0101_3 + 82200431144837/362717488942*c_0101_0, c_0101_0^2 + 3193700558710/181358744471*c_0101_3^13 + 8905597832382/181358744471*c_0101_3^12 - 28110415584524/181358744471*c_0101_3^11 - 95624445853183/181358744471*c_0101_3^10 + 55554866355255/181358744471*c_0101_3^9 + 248240339053845/181358744471*c_0101_3^8 + 195716054102351/181358744471*c_0101_3^7 + 294788926321814/181358744471*c_0101_3^6 - 901393752165099/181358744471*c_0101_3^5 - 1582827287247248/181358744471*c_0101_3^4 + 1102819363351642/181358744471*c_0101_3^3 + 640007309450536/181358744471*c_0101_3^2 - 163310267597831/181358744471*c_0101_3 - 64972456915228/181358744471, c_0101_1 + 168967927248/181358744471*c_0101_3^13 + 469092133460/181358744471*c_0101_3^12 - 1493288550886/181358744471*c_0101_3^11 - 5045067459308/181358744471*c_0101_3^10 + 2989112520696/181358744471*c_0101_3^9 + 13108890387537/181358744471*c_0101_3^8 + 10278489310930/181358744471*c_0101_3^7 + 15541816491611/181358744471*c_0101_3^6 - 47906439809910/181358744471*c_0101_3^5 - 83347778298502/181358744471*c_0101_3^4 + 58814250165765/181358744471*c_0101_3^3 + 33056827852015/181358744471*c_0101_3^2 - 8512000182747/181358744471*c_0101_3 - 3256780769107/181358744471, c_0101_3^14 + 2*c_0101_3^13 - 11*c_0101_3^12 - 23*c_0101_3^11 + 41*c_0101_3^10 + 64*c_0101_3^9 + 44*c_0101_3^7 - 355*c_0101_3^6 - 273*c_0101_3^5 + 736*c_0101_3^4 - 72*c_0101_3^3 - 209*c_0101_3^2 + 20*c_0101_3 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB