Magma V2.19-8 Tue Aug 20 2013 23:42:27 on localhost [Seed = 54879854] Type ? for help. Type -D to quit. Loading file "L14n13557__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13557 geometric_solution 8.20611826 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 0 1 0 -1 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 4 0 0 -4 -1 2 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409045123531 2.069983366146 0 4 6 5 0132 1023 0132 0132 1 1 1 0 0 -1 0 1 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 4 0 -4 -4 0 0 4 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550560973209 0.660256576612 7 0 6 4 0132 0132 3012 2103 1 1 1 0 0 0 0 0 1 0 -1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 0 0 5 0 -5 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127524250706 0.446689059100 8 5 7 0 0132 0321 3120 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 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 5 0 -5 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.164565315098 1.050889196517 1 7 0 2 1023 0132 0132 2103 1 1 1 0 0 1 0 -1 1 0 -1 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 -4 -1 5 -4 0 4 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 0.127524250706 0.446689059100 8 6 1 3 3012 0213 0132 0321 1 1 1 1 0 1 -1 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 -5 4 1 0 0 -4 4 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473288854491 0.427089951562 7 2 5 1 3120 1230 0213 0132 1 1 0 1 0 1 -1 0 -1 0 1 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 -5 5 0 5 0 -5 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816248234724 0.929880533319 2 4 3 6 0132 0132 3120 3120 1 1 0 1 0 -1 1 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 0 0 0 0 4 -4 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.590954876469 2.069983366146 3 9 9 5 0132 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460781953581 0.488786369383 9 8 8 9 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.728789693429 0.743167756095 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_9'], 's_2_8' : d['1'], 's_2_9' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0110_4']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_0'], '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_5'], '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_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_7, c_0101_9, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 29433309573650958090/84983489226237371*c_1001_0^12 + 158647601215454105261/339933956904949484*c_1001_0^11 - 75796278311901145407/84983489226237371*c_1001_0^10 + 126528156951276902121/84983489226237371*c_1001_0^9 - 98719418592017925701/84983489226237371*c_1001_0^8 + 580959475813841421315/339933956904949484*c_1001_0^7 - 18557531538791335875/19996115112055852*c_1001_0^6 + 311057520072368656413/339933956904949484*c_1001_0^5 - 10017541347455029411/24280996921782106*c_1001_0^4 + 10955425431927307027/48561993843564212*c_1001_0^3 - 1786498522876354043/30903086991359044*c_1001_0^2 + 12133659873243609501/339933956904949484*c_1001_0 - 891661165512963463/339933956904949484, c_0011_0 - 1, c_0011_3 + 457097445273420/5902041060229*c_1001_0^12 - 448858005598459/11804082120458*c_1001_0^11 + 1171345860316971/5902041060229*c_1001_0^10 - 681951691448297/5902041060229*c_1001_0^9 + 1191092990632671/5902041060229*c_1001_0^8 - 1469376000735471/11804082120458*c_1001_0^7 + 1170225784335231/11804082120458*c_1001_0^6 - 572893444413243/11804082120458*c_1001_0^5 + 140867200153636/5902041060229*c_1001_0^4 - 17988993059065/11804082120458*c_1001_0^3 + 28610195146757/11804082120458*c_1001_0^2 - 7901973747941/11804082120458*c_1001_0 - 4342694905095/11804082120458, c_0011_5 - 666469590575220/5902041060229*c_1001_0^12 + 1561358133992789/11804082120458*c_1001_0^11 - 2122338408066627/5902041060229*c_1001_0^10 + 2172056764554553/5902041060229*c_1001_0^9 - 2929947516663023/5902041060229*c_1001_0^8 + 4825495725534093/11804082120458*c_1001_0^7 - 4291522644040019/11804082120458*c_1001_0^6 + 2571255503965527/11804082120458*c_1001_0^5 - 814515330414585/5902041060229*c_1001_0^4 + 641816679776841/11804082120458*c_1001_0^3 - 251002061514881/11804082120458*c_1001_0^2 + 85106133307113/11804082120458*c_1001_0 - 33171130764431/11804082120458, c_0011_6 + 108970115087700/5902041060229*c_1001_0^12 - 512122743438965/11804082120458*c_1001_0^11 + 881294624292315/11804082120458*c_1001_0^10 - 1297885443888239/11804082120458*c_1001_0^9 + 713896537151744/5902041060229*c_1001_0^8 - 1328958177783147/11804082120458*c_1001_0^7 + 1105336563946463/11804082120458*c_1001_0^6 - 666142120977963/11804082120458*c_1001_0^5 + 375958793176233/11804082120458*c_1001_0^4 - 81636684906183/5902041060229*c_1001_0^3 + 27058786992400/5902041060229*c_1001_0^2 - 9539200457433/5902041060229*c_1001_0 + 17221246518707/11804082120458, c_0101_0 - 1, c_0101_1 + 956993054743440/5902041060229*c_1001_0^12 + 23676001997646/5902041060229*c_1001_0^11 + 2358500715936858/5902041060229*c_1001_0^10 - 282462416343399/11804082120458*c_1001_0^9 + 4365018257150607/11804082120458*c_1001_0^8 - 263500733602565/5902041060229*c_1001_0^7 + 852733324156669/5902041060229*c_1001_0^6 - 64431331824770/5902041060229*c_1001_0^5 + 121102919592816/5902041060229*c_1001_0^4 + 157175846537487/11804082120458*c_1001_0^3 + 31884174293863/11804082120458*c_1001_0^2 + 23095137854763/11804082120458*c_1001_0 - 11375987966933/11804082120458, c_0101_7 + 294803273583540/5902041060229*c_1001_0^12 - 861867873623573/11804082120458*c_1001_0^11 + 1001211010786314/5902041060229*c_1001_0^10 - 1156647402814264/5902041060229*c_1001_0^9 + 1452580196988837/5902041060229*c_1001_0^8 - 2494470693700129/11804082120458*c_1001_0^7 + 2167398590644315/11804082120458*c_1001_0^6 - 1301179915307151/11804082120458*c_1001_0^5 + 396824707863606/5902041060229*c_1001_0^4 - 322787806467191/11804082120458*c_1001_0^3 + 119745736494827/11804082120458*c_1001_0^2 - 41087645045615/11804082120458*c_1001_0 + 22537874600615/11804082120458, c_0101_9 + 894773794587480/5902041060229*c_1001_0^12 - 331688966731283/5902041060229*c_1001_0^11 + 2310320135235030/5902041060229*c_1001_0^10 - 1029999438116663/5902041060229*c_1001_0^9 + 2360249543728029/5902041060229*c_1001_0^8 - 1215134405234876/5902041060229*c_1001_0^7 + 1171722611903070/5902041060229*c_1001_0^6 - 615402350148754/5902041060229*c_1001_0^5 + 293679124245165/5902041060229*c_1001_0^4 - 103595688431976/5902041060229*c_1001_0^3 + 37937853509442/5902041060229*c_1001_0^2 - 12194908356406/5902041060229*c_1001_0 - 1658748399445/5902041060229, c_0110_4 - 294803273583540/5902041060229*c_1001_0^12 + 861867873623573/11804082120458*c_1001_0^11 - 1001211010786314/5902041060229*c_1001_0^10 + 1156647402814264/5902041060229*c_1001_0^9 - 1452580196988837/5902041060229*c_1001_0^8 + 2494470693700129/11804082120458*c_1001_0^7 - 2167398590644315/11804082120458*c_1001_0^6 + 1301179915307151/11804082120458*c_1001_0^5 - 396824707863606/5902041060229*c_1001_0^4 + 322787806467191/11804082120458*c_1001_0^3 - 119745736494827/11804082120458*c_1001_0^2 + 41087645045615/11804082120458*c_1001_0 - 22537874600615/11804082120458, c_1001_0^13 - 61/360*c_1001_0^12 + 953/360*c_1001_0^11 - 11/15*c_1001_0^10 + 253/90*c_1001_0^9 - 377/360*c_1001_0^8 + 3/2*c_1001_0^7 - 28/45*c_1001_0^6 + 11/24*c_1001_0^5 - 49/360*c_1001_0^4 + 1/10*c_1001_0^3 - 1/45*c_1001_0^2 + 1/180*c_1001_0 - 1/360 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB