Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 1848636044] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2053 geometric_solution 5.58020064 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 0 0 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 -1 0 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 -0.288968755247 0.161610124536 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 1 -1 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 0 0 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 1.872269629970 1.378499840835 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 -1 0 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 0 -1 0 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 0.675592323519 0.440365675910 2 4 6 5 0132 0321 0132 0132 0 0 0 0 0 -1 1 0 -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 -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 0.689638418967 0.952712315980 6 5 2 3 1023 2310 0132 0321 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 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 0.689638418967 0.952712315980 5 5 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394593377650 0.584141366399 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 -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 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 -0.139526223418 1.003028708037 ==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' : 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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : 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_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_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_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : 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_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t + 63533967131689208383613/233166795563375849739*c_0101_0*c_0101_3^17 - 8131432179980455770131/233166795563375849739*c_0101_0*c_0101_3^16 - 1710255095546415729178634/233166795563375849739*c_0101_0*c_0101_3^1\ 5 + 5237193795830263684837981/233166795563375849739*c_0101_0*c_0101\ _3^14 - 5863869641912082273112196/233166795563375849739*c_0101_0*c_\ 0101_3^13 + 6309383579015856760497719/233166795563375849739*c_0101_\ 0*c_0101_3^12 - 2057722385346670816925830/77722265187791949913*c_01\ 01_0*c_0101_3^11 - 1134287552017602065773147/77722265187791949913*c\ _0101_0*c_0101_3^10 + 7745470245880288218254765/2331667955633758497\ 39*c_0101_0*c_0101_3^9 - 3037746616268582351227481/7772226518779194\ 9913*c_0101_0*c_0101_3^8 + 3991202828240499095827580/77722265187791\ 949913*c_0101_0*c_0101_3^7 - 3244725305232868760165305/233166795563\ 375849739*c_0101_0*c_0101_3^6 - 2245169652851260566038887/233166795\ 563375849739*c_0101_0*c_0101_3^5 - 889347217971917269423007/77722265187791949913*c_0101_0*c_0101_3^4 + 4228263852917190031884946/233166795563375849739*c_0101_0*c_0101_3^3 + 623098593950118956854829/233166795563375849739*c_0101_0*c_0101_3^\ 2 - 375316170452416861108259/77722265187791949913*c_0101_0*c_0101_3 - 89984397711342924385390/233166795563375849739*c_0101_0, c_0011_0 - 1, c_0011_2 - 265017217829315265/1064688564216328081*c_0101_3^17 + 84895241350255284/1064688564216328081*c_0101_3^16 + 7094593410998434670/1064688564216328081*c_0101_3^15 - 23214208522005540356/1064688564216328081*c_0101_3^14 + 29540402340298239206/1064688564216328081*c_0101_3^13 - 33717429050016964412/1064688564216328081*c_0101_3^12 + 33933670506620221366/1064688564216328081*c_0101_3^11 + 5677630108900165760/1064688564216328081*c_0101_3^10 - 31507067951322578209/1064688564216328081*c_0101_3^9 + 45276877616837970309/1064688564216328081*c_0101_3^8 - 60387303436813416307/1064688564216328081*c_0101_3^7 + 28179158485785844898/1064688564216328081*c_0101_3^6 + 281268072152727281/1064688564216328081*c_0101_3^5 + 11742198584373873875/1064688564216328081*c_0101_3^4 - 20151618767354934976/1064688564216328081*c_0101_3^3 + 2679524103177320462/1064688564216328081*c_0101_3^2 + 2477021063355492032/1064688564216328081*c_0101_3 - 950817170858271498/1064688564216328081, c_0011_4 - 27363764731366439439/77722265187791949913*c_0101_0*c_0101_3^\ 17 + 4886141407393928223/77722265187791949913*c_0101_0*c_0101_3^16 + 734938099860288245677/77722265187791949913*c_0101_0*c_0101_3^15 - 2292281340881097853446/77722265187791949913*c_0101_0*c_0101_3^14 + 2681663431025637483779/77722265187791949913*c_0101_0*c_0101_3^13 - 2976180560424457004923/77722265187791949913*c_0101_0*c_0101_3^12 + 2910769980113262831118/77722265187791949913*c_0101_0*c_0101_3^11 + 1251724942230105195734/77722265187791949913*c_0101_0*c_0101_3^10 - 3253934578471993797696/77722265187791949913*c_0101_0*c_0101_3^9 + 4223616032477252371497/77722265187791949913*c_0101_0*c_0101_3^8 - 5580141081886571764946/77722265187791949913*c_0101_0*c_0101_3^7 + 1655866229791523103891/77722265187791949913*c_0101_0*c_0101_3^6 + 594410196663282994523/77722265187791949913*c_0101_0*c_0101_3^5 + 1027918258858807930530/77722265187791949913*c_0101_0*c_0101_3^4 - 1695639417144704220401/77722265187791949913*c_0101_0*c_0101_3^3 + 89551046278930784007/77722265187791949913*c_0101_0*c_0101_3^2 + 420246952338175405849/77722265187791949913*c_0101_0*c_0101_3 + 1798927031794082087/77722265187791949913*c_0101_0, c_0011_5 - 24266244195060294780/77722265187791949913*c_0101_0*c_0101_3^\ 17 + 13734909162905264428/77722265187791949913*c_0101_0*c_0101_3^16 + 654217454105108445791/77722265187791949913*c_0101_0*c_0101_3^15 - 2285604215989516596472/77722265187791949913*c_0101_0*c_0101_3^14 + 3050836130018282185812/77722265187791949913*c_0101_0*c_0101_3^13 - 3228985009475193412215/77722265187791949913*c_0101_0*c_0101_3^12 + 3320878873913395781264/77722265187791949913*c_0101_0*c_0101_3^11 + 361394276893812329854/77722265187791949913*c_0101_0*c_0101_3^10 - 3682883412702910444019/77722265187791949913*c_0101_0*c_0101_3^9 + 4512492552292954534300/77722265187791949913*c_0101_0*c_0101_3^8 - 5907232232483373383412/77722265187791949913*c_0101_0*c_0101_3^7 + 3205806539469596586645/77722265187791949913*c_0101_0*c_0101_3^6 + 686002015266480270620/77722265187791949913*c_0101_0*c_0101_3^5 + 832937118951565384834/77722265187791949913*c_0101_0*c_0101_3^4 - 2202703376622384937321/77722265187791949913*c_0101_0*c_0101_3^3 + 178511160063455051018/77722265187791949913*c_0101_0*c_0101_3^2 + 522916378170281347692/77722265187791949913*c_0101_0*c_0101_3 - 24526223736620016225/77722265187791949913*c_0101_0, c_0101_0^2 + 9026854462726204/1064688564216328081*c_0101_3^17 - 182113721100532188/1064688564216328081*c_0101_3^16 - 264368121614704229/1064688564216328081*c_0101_3^15 + 5587901959210511246/1064688564216328081*c_0101_3^14 - 14556797653663883600/1064688564216328081*c_0101_3^13 + 14815584968356299126/1064688564216328081*c_0101_3^12 - 17178959721980266393/1064688564216328081*c_0101_3^11 + 14984445345202364519/1064688564216328081*c_0101_3^10 + 12252027616003700464/1064688564216328081*c_0101_3^9 - 18065339597071679708/1064688564216328081*c_0101_3^8 + 24768273385406663807/1064688564216328081*c_0101_3^7 - 30891949245151236302/1064688564216328081*c_0101_3^6 + 4083374135213891862/1064688564216328081*c_0101_3^5 + 1650741044338169166/1064688564216328081*c_0101_3^4 + 9693104842551771907/1064688564216328081*c_0101_3^3 - 9479879598266648408/1064688564216328081*c_0101_3^2 - 2841787086474143958/1064688564216328081*c_0101_3 + 449391445383728865/1064688564216328081, c_0101_1 - 9026854462726204/1064688564216328081*c_0101_3^17 + 182113721100532188/1064688564216328081*c_0101_3^16 + 264368121614704229/1064688564216328081*c_0101_3^15 - 5587901959210511246/1064688564216328081*c_0101_3^14 + 14556797653663883600/1064688564216328081*c_0101_3^13 - 14815584968356299126/1064688564216328081*c_0101_3^12 + 17178959721980266393/1064688564216328081*c_0101_3^11 - 14984445345202364519/1064688564216328081*c_0101_3^10 - 12252027616003700464/1064688564216328081*c_0101_3^9 + 18065339597071679708/1064688564216328081*c_0101_3^8 - 24768273385406663807/1064688564216328081*c_0101_3^7 + 30891949245151236302/1064688564216328081*c_0101_3^6 - 4083374135213891862/1064688564216328081*c_0101_3^5 - 1650741044338169166/1064688564216328081*c_0101_3^4 - 9693104842551771907/1064688564216328081*c_0101_3^3 + 9479879598266648408/1064688564216328081*c_0101_3^2 + 2841787086474143958/1064688564216328081*c_0101_3 - 1514080009600056946/1064688564216328081, c_0101_3^18 - 27*c_0101_3^16 + 79*c_0101_3^15 - 80*c_0101_3^14 + 82*c_0101_3^13 - 78*c_0101_3^12 - 73*c_0101_3^11 + 122*c_0101_3^10 - 125*c_0101_3^9 + 162*c_0101_3^8 - 17*c_0101_3^7 - 55*c_0101_3^6 - 42*c_0101_3^5 + 63*c_0101_3^4 + 21*c_0101_3^3 - 21*c_0101_3^2 - 4*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB