Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 54697768] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0021 geometric_solution 3.57879223 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458301940294 0.022822746270 2 0 2 0 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372568544246 0.255056619663 1 1 3 4 0132 3201 0132 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 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 4.358323493548 9.761155842897 4 5 6 2 1302 0132 0132 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 1 0 0 -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 -0.256597560928 0.166443537769 5 3 2 6 3120 2031 0132 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 -1 0 1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073573203799 0.654145583167 6 3 6 4 1230 0132 3201 3120 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 1 -1 -2 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 0.037908282779 1.925239009710 5 5 4 3 2310 3012 0132 0132 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 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207698035008 0.415623949442 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : 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_1100_2'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_4, c_0011_6, c_0110_0, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2981620330529/51738880338944*c_1100_2^11 - 2424380056565/3233680021184*c_1100_2^10 + 39572484620083/12934720084736*c_1100_2^9 - 134421256751203/51738880338944*c_1100_2^8 - 400111769906617/51738880338944*c_1100_2^7 + 329445635388787/25869440169472*c_1100_2^6 - 495226504577215/51738880338944*c_1100_2^5 - 698375963157029/25869440169472*c_1100_2^4 - 770026413997287/51738880338944*c_1100_2^3 - 443981940471649/25869440169472*c_1100_2^2 + 821248387806505/51738880338944*c_1100_2 + 87832369341457/6467360042368, c_0011_0 - 1, c_0011_1 + 58051/876098624*c_1100_2^11 + 584585/54756164*c_1100_2^10 - 23399511/219024656*c_1100_2^9 + 268315063/876098624*c_1100_2^8 - 122131659/876098624*c_1100_2^7 - 186783175/438049312*c_1100_2^6 + 1065215523/876098624*c_1100_2^5 - 144701519/438049312*c_1100_2^4 - 388380565/876098624*c_1100_2^3 + 27357277/438049312*c_1100_2^2 - 1183292197/876098624*c_1100_2 + 29840459/109512328, c_0011_3 + 9345530381/202105001324*c_1100_2^11 - 21869139566/50526250331*c_1100_2^10 + 56485648680/50526250331*c_1100_2^9 + 4503099513/202105001324*c_1100_2^8 - 523930453933/202105001324*c_1100_2^7 + 429723589081/101052500662*c_1100_2^6 + 382483170033/202105001324*c_1100_2^5 - 367045688235/101052500662*c_1100_2^4 - 473345235575/202105001324*c_1100_2^3 - 394511020585/101052500662*c_1100_2^2 + 362617051261/202105001324*c_1100_2 + 179162572783/50526250331, c_0011_4 - 63701874731/1616840010592*c_1100_2^11 + 35767269155/101052500662*c_1100_2^10 - 338432247465/404210002648*c_1100_2^9 - 304144135327/1616840010592*c_1100_2^8 + 3056517364915/1616840010592*c_1100_2^7 - 2651545891489/808420005296*c_1100_2^6 - 3528459983051/1616840010592*c_1100_2^5 + 1229622340279/808420005296*c_1100_2^4 + 818829600973/1616840010592*c_1100_2^3 + 2370069581115/808420005296*c_1100_2^2 + 576919816957/1616840010592*c_1100_2 - 358289684283/202105001324, c_0011_6 - 14161388051/808420005296*c_1100_2^11 + 8215494976/50526250331*c_1100_2^10 - 82217010593/202105001324*c_1100_2^9 - 64042312471/808420005296*c_1100_2^8 + 874703234731/808420005296*c_1100_2^7 - 615657060009/404210002648*c_1100_2^6 - 898436100163/808420005296*c_1100_2^5 + 645661907567/404210002648*c_1100_2^4 + 975201958677/808420005296*c_1100_2^3 + 314897127595/404210002648*c_1100_2^2 - 617235630763/808420005296*c_1100_2 - 128850588693/101052500662, c_0110_0 + 20625569429/3233680021184*c_1100_2^11 - 13442104465/202105001324*c_1100_2^10 + 175966167839/808420005296*c_1100_2^9 - 513074604159/3233680021184*c_1100_2^8 - 1221652603533/3233680021184*c_1100_2^7 + 1688754507023/1616840010592*c_1100_2^6 - 1813142566155/3233680021184*c_1100_2^5 - 870599228009/1616840010592*c_1100_2^4 - 488148898963/3233680021184*c_1100_2^3 - 626728599733/1616840010592*c_1100_2^2 + 4468450785533/3233680021184*c_1100_2 - 126764652819/404210002648, c_1100_2^12 - 8*c_1100_2^11 + 12*c_1100_2^10 + 29*c_1100_2^9 - 49*c_1100_2^8 + 30*c_1100_2^7 + 145*c_1100_2^6 - 2*c_1100_2^5 - 87*c_1100_2^4 - 122*c_1100_2^3 - 71*c_1100_2^2 + 80*c_1100_2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB