Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 2210537199] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3141 geometric_solution 6.29745013 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0.594575880159 0.434024516446 0 5 3 5 0132 0132 1023 3120 0 0 0 0 0 -1 1 0 -1 0 1 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 -1 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 0.394247701720 1.224280405924 6 0 2 2 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766213739372 0.433184144941 5 6 1 0 3201 2310 1023 0132 0 0 0 0 0 0 -1 1 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 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 0.095310301733 1.092820764235 6 6 0 5 1230 3201 0132 1302 0 0 0 0 0 1 -2 1 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 -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 0.394247701720 1.224280405924 1 1 4 3 3120 0132 2031 2310 0 0 0 0 0 1 -1 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106103833357 1.331654279812 2 4 4 3 0132 3012 2310 3201 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.010995103445 0.559140639800 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(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' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_0011_0']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_6'])})} 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: 18 Groebner basis: [ t - 30931473162941631/26655006098025472*c_0101_6^17 + 270754835203327575/13327503049012736*c_0101_6^15 - 2175757815491518513/26655006098025472*c_0101_6^13 - 17201141012931517879/26655006098025472*c_0101_6^11 - 165677624334513763/13327503049012736*c_0101_6^9 + 122525097921012858511/26655006098025472*c_0101_6^7 - 144960978005511004621/26655006098025472*c_0101_6^5 + 39209192670040887/18877483072256*c_0101_6^3 - 6669829570112688987/26655006098025472*c_0101_6, c_0011_0 - 1, c_0011_3 - 58173339231481/208242235140824*c_0101_6^17 + 1024780299776199/208242235140824*c_0101_6^15 - 2100971263641271/104121117570412*c_0101_6^13 - 31925637619814487/208242235140824*c_0101_6^11 + 2995341738384585/208242235140824*c_0101_6^9 + 28904222371710434/26030279392603*c_0101_6^7 - 297627249153822527/208242235140824*c_0101_6^5 + 365198724312623/589921346008*c_0101_6^3 - 4711568430051039/52060558785206*c_0101_6, c_0101_0 - 14739296493227/104121117570412*c_0101_6^17 + 522138854540039/208242235140824*c_0101_6^15 - 2177950971459291/208242235140824*c_0101_6^13 - 1999616274442427/26030279392603*c_0101_6^11 + 3168363937878545/208242235140824*c_0101_6^9 + 117869056412912567/208242235140824*c_0101_6^7 - 80840437543991851/104121117570412*c_0101_6^5 + 211204595390405/589921346008*c_0101_6^3 - 11626280806668007/208242235140824*c_0101_6, c_0101_1 - 38486929699277/208242235140824*c_0101_6^16 + 678618316055471/208242235140824*c_0101_6^14 - 1395309620910045/104121117570412*c_0101_6^12 - 21084406958393235/208242235140824*c_0101_6^10 + 2358668604634497/208242235140824*c_0101_6^8 + 38312710245631141/52060558785206*c_0101_6^6 - 199202120234540795/208242235140824*c_0101_6^4 + 245484323872663/589921346008*c_0101_6^2 - 1584593003629039/26030279392603, c_0101_2 - 13270705305/589921346008*c_0101_6^16 + 229468034899/589921346008*c_0101_6^14 - 442844591705/294960673004*c_0101_6^12 - 7543176107831/589921346008*c_0101_6^10 - 1861007238651/589921346008*c_0101_6^8 + 12792130394273/147480336502*c_0101_6^6 - 51906541690071/589921346008*c_0101_6^4 + 18463311382155/589921346008*c_0101_6^2 - 302229046069/73740168251, c_0101_5 - 12754415945041/104121117570412*c_0101_6^16 + 224715284953787/104121117570412*c_0101_6^14 - 460975485077225/52060558785206*c_0101_6^12 - 6995707803575735/104121117570412*c_0101_6^10 + 669477806660501/104121117570412*c_0101_6^8 + 12661631342805285/26030279392603*c_0101_6^6 - 65403515051986563/104121117570412*c_0101_6^4 + 81615164785851/294960673004*c_0101_6^2 - 1083266482872529/26030279392603, c_0101_6^18 - 18*c_0101_6^16 + 79*c_0101_6^14 + 521*c_0101_6^12 - 262*c_0101_6^10 - 3953*c_0101_6^8 + 6643*c_0101_6^6 - 4196*c_0101_6^4 + 1189*c_0101_6^2 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB