Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 1478083742] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0293 geometric_solution 4.33476898 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.766432846800 0.060426848917 0 0 2 2 2310 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 1.670941834321 0.265127740495 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 0 -1 1 -1 0 0 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 1 -1 1 0 0 -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 1.170642297842 0.208175947982 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 1 0 -1 1 0 0 -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 -1 0 1 -1 0 0 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 0.884752994392 0.553110929464 6 3 6 5 0132 0132 2310 3201 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 0 1 0 -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 0.612011635339 0.782923752547 6 4 6 3 3201 2310 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 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 0.612011635339 0.782923752547 4 4 5 5 0132 3201 1023 2310 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546563726681 0.308300656399 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(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_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 6235925389803987/144942971895040*c_0101_6^21 - 8094426219537837/14494297189504*c_0101_6^19 - 261087068459401879/72471485947520*c_0101_6^17 - 247875386321113049/13176633808640*c_0101_6^15 - 9433044824977014497/144942971895040*c_0101_6^13 - 5068366054555615541/72471485947520*c_0101_6^11 + 21813601346448634157/144942971895040*c_0101_6^9 + 31824533180535441921/144942971895040*c_0101_6^7 - 794378428347952245/3623574297376*c_0101_6^5 + 3889291716816704219/72471485947520*c_0101_6^3 - 538364442319607611/144942971895040*c_0101_6, c_0011_0 - 1, c_0011_2 - 709765540381/13176633808640*c_0101_6^20 - 928768553339/1317663380864*c_0101_6^18 - 30201807643577/6588316904320*c_0101_6^16 - 316608756705037/13176633808640*c_0101_6^14 - 1106367853313791/13176633808640*c_0101_6^12 - 633416722628923/6588316904320*c_0101_6^10 + 2361591101770131/13176633808640*c_0101_6^8 + 3891255974799103/13176633808640*c_0101_6^6 - 80156262067347/329415845216*c_0101_6^4 + 255619901570397/6588316904320*c_0101_6^2 - 10088051931253/13176633808640, c_0101_0 - 28453687541/1647079226080*c_0101_6^21 - 36588865517/164707922608*c_0101_6^19 - 585032710951/411769806520*c_0101_6^17 - 12181047726137/1647079226080*c_0101_6^15 - 41716254227741/1647079226080*c_0101_6^13 - 10499371071329/411769806520*c_0101_6^11 + 101875066092671/1647079226080*c_0101_6^9 + 129647023633853/1647079226080*c_0101_6^7 - 15636918717011/164707922608*c_0101_6^5 + 32106049182067/823539613040*c_0101_6^3 - 10300064774423/1647079226080*c_0101_6, c_0101_1 + 125638238225/658831690432*c_0101_6^21 + 1646237356375/658831690432*c_0101_6^19 + 10724856408745/658831690432*c_0101_6^17 + 28141636696529/329415845216*c_0101_6^15 + 197177517247541/658831690432*c_0101_6^13 + 229589223421123/658831690432*c_0101_6^11 - 101764122547885/164707922608*c_0101_6^9 - 685163708490279/658831690432*c_0101_6^7 + 549547270718657/658831690432*c_0101_6^5 - 105085003069401/658831690432*c_0101_6^3 + 776059112033/82353961304*c_0101_6, c_0101_3 + 24790171729/411769806520*c_0101_6^21 + 131037687669/164707922608*c_0101_6^19 + 4305010796667/823539613040*c_0101_6^17 + 22684424409611/823539613040*c_0101_6^15 + 10036747915731/102942451630*c_0101_6^13 + 99298666115073/823539613040*c_0101_6^11 - 150584647801603/823539613040*c_0101_6^9 - 144411810896877/411769806520*c_0101_6^7 + 37266141246717/164707922608*c_0101_6^5 - 16396019457227/823539613040*c_0101_6^3 - 2727733715651/823539613040*c_0101_6, c_0101_4 - 151194482977/823539613040*c_0101_6^21 - 99813706399/41176980652*c_0101_6^19 - 1638213741121/102942451630*c_0101_6^17 - 69032759099439/823539613040*c_0101_6^15 - 244116512205667/823539613040*c_0101_6^13 - 37533805022039/102942451630*c_0101_6^11 + 461633998091157/823539613040*c_0101_6^9 + 873648714868751/823539613040*c_0101_6^7 - 57585266578969/82353961304*c_0101_6^5 + 15735195153817/205884903260*c_0101_6^3 + 1910953809249/823539613040*c_0101_6, c_0101_6^22 + 13*c_0101_6^20 + 84*c_0101_6^18 + 439*c_0101_6^16 + 1522*c_0101_6^14 + 1659*c_0101_6^12 - 3453*c_0101_6^10 - 5156*c_0101_6^8 + 4971*c_0101_6^6 - 1194*c_0101_6^4 + 91*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB