Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 1696922021] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2151 geometric_solution 5.63069173 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 1 -2 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 0.198450884371 1.287500019340 0 5 2 5 0132 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 0.143901810220 1.313124868207 1 0 3 4 2310 0132 3201 3201 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 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 0.198450884371 1.287500019340 2 6 6 0 2310 0132 1023 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541544459485 0.189620995376 6 2 0 6 3201 2310 0132 2310 0 0 0 0 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 0 0 0 0 -1 2 -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 0.889510925618 0.739336192043 1 1 5 5 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292347231175 0.169009328801 4 3 3 4 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889510925618 0.739336192043 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], '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_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0110_5']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_3, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5/2*c_0101_6*c_0110_5^2 - 21/2*c_0101_6*c_0110_5 - 27*c_0101_6 - 288/7*c_0110_5^2 - 444/7*c_0110_5 + 136/7, c_0011_0 - 1, c_0011_3 - 2*c_0101_6*c_0110_5^2 + 2*c_0101_6 - 2*c_0110_5^2 + 2*c_0110_5, c_0101_0 + c_0110_5^2 - 1, c_0101_1 + c_0110_5^2 - 1, c_0101_3 + c_0101_6 + c_0110_5^2 - 1, c_0101_6^2 + 19/7*c_0101_6*c_0110_5^2 + 8/7*c_0101_6*c_0110_5 - 15/7*c_0101_6 + c_0110_5^2 - c_0110_5, c_0110_5^3 + c_0110_5^2 - 2*c_0110_5 - 1 ], 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_3, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 17961802045687304/21107233961*c_0110_5^17 + 94729727183277396/21107233961*c_0110_5^16 - 137891826919916336/21107233961*c_0110_5^15 - 181493490381503873/42214467922*c_0110_5^14 + 355359904559200151/21107233961*c_0110_5^13 - 72411575228393817/42214467922*c_0110_5^12 - 425584952782398028/21107233961*c_0110_5^11 + 212291039448227963/42214467922*c_0110_5^10 + 334158145319771392/21107233961*c_0110_5^9 - 143176080385713143/42214467922*c_0110_5^8 - 376031683194885477/42214467922*c_0110_5^7 + 1862851603057919/1918839451*c_0110_5^6 + 81885206121945404/21107233961*c_0110_5^5 + 671513257167561/1918839451*c_0110_5^4 - 4777777031782119/3837678902*c_0110_5^3 - 28808179409729833/42214467922*c_0110_5^2 - 3087016240915669/21107233961*c_0110_5 - 492269342897847/42214467922, c_0011_0 - 1, c_0011_3 + 133560441517552/1918839451*c_0110_5^17 - 671867626868232/1918839451*c_0110_5^16 + 844363609845240/1918839451*c_0110_5^15 + 976968216044911/1918839451*c_0110_5^14 - 2565618418743885/1918839451*c_0110_5^13 - 396836479327557/1918839451*c_0110_5^12 + 3423414566675929/1918839451*c_0110_5^11 - 93121036989267/1918839451*c_0110_5^10 - 2879299011413503/1918839451*c_0110_5^9 + 41021015863499/1918839451*c_0110_5^8 + 1670776623701892/1918839451*c_0110_5^7 + 109447712494512/1918839451*c_0110_5^6 - 722376174046699/1918839451*c_0110_5^5 - 170518272613302/1918839451*c_0110_5^4 + 215757470133789/1918839451*c_0110_5^3 + 148884350988501/1918839451*c_0110_5^2 + 36860982943727/1918839451*c_0110_5 + 3342942193418/1918839451, c_0101_0 + 7399408183328/1918839451*c_0110_5^17 - 39251114044912/1918839451*c_0110_5^16 + 58123202923936/1918839451*c_0110_5^15 + 34992992735290/1918839451*c_0110_5^14 - 146630625743046/1918839451*c_0110_5^13 + 20406652065859/1918839451*c_0110_5^12 + 171291202630460/1918839451*c_0110_5^11 - 47677556865883/1918839451*c_0110_5^10 - 132891565046265/1918839451*c_0110_5^9 + 31213338622420/1918839451*c_0110_5^8 + 74615970192727/1918839451*c_0110_5^7 - 9113787108696/1918839451*c_0110_5^6 - 32631817671439/1918839451*c_0110_5^5 - 2703084459289/1918839451*c_0110_5^4 + 10563584608699/1918839451*c_0110_5^3 + 5757093288591/1918839451*c_0110_5^2 + 1230633561507/1918839451*c_0110_5 + 98904910501/1918839451, c_0101_1 - 112*c_0110_5^17 + 520*c_0110_5^16 - 488*c_0110_5^15 - 1103*c_0110_5^14 + 1849*c_0110_5^13 + 1172*c_0110_5^12 - 2777*c_0110_5^11 - 1023*c_0110_5^10 + 2483*c_0110_5^9 + 882*c_0110_5^8 - 1442*c_0110_5^7 - 621*c_0110_5^6 + 585*c_0110_5^5 + 372*c_0110_5^4 - 132*c_0110_5^3 - 194*c_0110_5^2 - 78*c_0110_5 - 13, c_0101_3 + 83515199853456/1918839451*c_0110_5^17 - 408969380225784/1918839451*c_0110_5^16 + 465538978361640/1918839451*c_0110_5^15 + 716776037374745/1918839451*c_0110_5^14 - 1581837013915551/1918839451*c_0110_5^13 - 477639364401139/1918839451*c_0110_5^12 + 2239049109692778/1918839451*c_0110_5^11 + 175522176802330/1918839451*c_0110_5^10 - 1945108591953033/1918839451*c_0110_5^9 - 135106916023786/1918839451*c_0110_5^8 + 1143841454835133/1918839451*c_0110_5^7 + 152749711028779/1918839451*c_0110_5^6 - 493126231950190/1918839451*c_0110_5^5 - 143857501170908/1918839451*c_0110_5^4 + 142946254330040/1918839451*c_0110_5^3 + 106801429787462/1918839451*c_0110_5^2 + 27389505625629/1918839451*c_0110_5 + 2543304618648/1918839451, c_0101_6 + 112*c_0110_5^17 - 520*c_0110_5^16 + 488*c_0110_5^15 + 1103*c_0110_5^14 - 1849*c_0110_5^13 - 1172*c_0110_5^12 + 2777*c_0110_5^11 + 1023*c_0110_5^10 - 2483*c_0110_5^9 - 882*c_0110_5^8 + 1442*c_0110_5^7 + 621*c_0110_5^6 - 585*c_0110_5^5 - 372*c_0110_5^4 + 132*c_0110_5^3 + 194*c_0110_5^2 + 78*c_0110_5 + 13, c_0110_5^18 - 65/14*c_0110_5^17 + 61/14*c_0110_5^16 + 1103/112*c_0110_5^15 - 1849/112*c_0110_5^14 - 293/28*c_0110_5^13 + 2777/112*c_0110_5^12 + 1023/112*c_0110_5^11 - 2483/112*c_0110_5^10 - 63/8*c_0110_5^9 + 103/8*c_0110_5^8 + 621/112*c_0110_5^7 - 585/112*c_0110_5^6 - 93/28*c_0110_5^5 + 33/28*c_0110_5^4 + 97/56*c_0110_5^3 + 11/16*c_0110_5^2 + 1/8*c_0110_5 + 1/112 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB