Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 1528481677] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1529 geometric_solution 5.32410282 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.466527833170 0.213062647212 0 2 2 0 3201 0132 1023 0132 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 -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 1.142213703623 0.274324360988 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 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 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 0.800169064917 0.452205833305 2 5 6 4 0132 0132 0132 2031 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 -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 0.518575938207 0.505848448862 6 3 2 5 2310 1302 0132 1023 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518575938207 0.505848448862 5 3 5 4 2310 0132 3201 1023 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 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 0.025635808443 1.049947449781 6 6 4 3 1302 2031 3201 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 0.523916343833 0.487368729290 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), '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_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 17601914291/116061364*c_0101_3^13 - 38608519767/116061364*c_0101_3^12 + 62917626519/116061364*c_0101_3^11 - 269609356163/116061364*c_0101_3^10 - 2423704597/1000529*c_0101_3^9 + 1300889316335/116061364*c_0101_3^8 - 1545588998309/116061364*c_0101_3^7 + 1320051959977/58030682*c_0101_3^6 - 657659915621/58030682*c_0101_3^5 + 13568891529/4002116*c_0101_3^4 + 158175502457/58030682*c_0101_3^3 - 804235032649/116061364*c_0101_3^2 + 196708449689/58030682*c_0101_3 - 82292650921/116061364, c_0011_0 - 1, c_0011_1 - 1533883/29015341*c_0101_3^13 - 2694873/29015341*c_0101_3^12 + 5305796/29015341*c_0101_3^11 - 30166783/29015341*c_0101_3^10 - 447316/1000529*c_0101_3^9 + 104672479/29015341*c_0101_3^8 - 216583367/29015341*c_0101_3^7 + 338986528/29015341*c_0101_3^6 - 183971779/29015341*c_0101_3^5 + 5311428/1000529*c_0101_3^4 + 55296815/29015341*c_0101_3^3 - 77950123/29015341*c_0101_3^2 + 43185469/29015341*c_0101_3 - 20109352/29015341, c_0011_4 - 64355397/29015341*c_0011_6*c_0101_3^13 - 136358365/29015341*c_0011_6*c_0101_3^12 + 242250960/29015341*c_0011_6*c_0101_3^11 - 998518525/29015341*c_0011_6*c_0101_3^10 - 33078729/1000529*c_0011_6*c_0101_3^9 + 4859077130/29015341*c_0011_6*c_0101_3^8 - 5969564066/29015341*c_0011_6*c_0101_3^7 + 9950307431/29015341*c_0011_6*c_0101_3^6 - 5375854733/29015341*c_0011_6*c_0101_3^5 + 52010799/1000529*c_0011_6*c_0101_3^4 + 1147328278/29015341*c_0011_6*c_0101_3^3 - 3097317999/29015341*c_0011_6*c_0101_3^2 + 1606181203/29015341*c_0011_6*c_0101_3 - 323210960/29015341*c_0011_6, c_0011_6^2 - 87187033/1682889778*c_0101_3^13 - 84573301/1682889778*c_0101_3^12 + 633813229/1682889778*c_0101_3^11 - 1721060173/1682889778*c_0101_3^10 - 3356671/29015341*c_0101_3^9 + 9804845331/1682889778*c_0101_3^8 - 17017547599/1682889778*c_0101_3^7 + 9156460999/841444889*c_0101_3^6 - 7359392013/841444889*c_0101_3^5 + 83192113/58030682*c_0101_3^4 + 3162310356/841444889*c_0101_3^3 - 7027305161/1682889778*c_0101_3^2 + 1215271368/841444889*c_0101_3 - 288966363/1682889778, c_0101_0 - 45389199/29015341*c_0101_3^13 - 101210323/29015341*c_0101_3^12 + 159311448/29015341*c_0101_3^11 - 688078425/29015341*c_0101_3^10 - 25942203/1000529*c_0101_3^9 + 3339833200/29015341*c_0101_3^8 - 3856391853/29015341*c_0101_3^7 + 6622642059/29015341*c_0101_3^6 - 3087056659/29015341*c_0101_3^5 + 27895672/1000529*c_0101_3^4 + 855793779/29015341*c_0101_3^3 - 2020713611/29015341*c_0101_3^2 + 899463558/29015341*c_0101_3 - 148005787/29015341, c_0101_2 - 26739194/29015341*c_0101_3^13 - 59992055/29015341*c_0101_3^12 + 92316072/29015341*c_0101_3^11 - 403508435/29015341*c_0101_3^10 - 15457374/1000529*c_0101_3^9 + 1946128673/29015341*c_0101_3^8 - 2219766623/29015341*c_0101_3^7 + 3844478821/29015341*c_0101_3^6 - 1773057462/29015341*c_0101_3^5 + 16590984/1000529*c_0101_3^4 + 498854353/29015341*c_0101_3^3 - 1145668918/29015341*c_0101_3^2 + 524020170/29015341*c_0101_3 - 87186044/29015341, c_0101_3^14 + 2*c_0101_3^13 - 4*c_0101_3^12 + 16*c_0101_3^11 + 13*c_0101_3^10 - 77*c_0101_3^9 + 102*c_0101_3^8 - 167*c_0101_3^7 + 104*c_0101_3^6 - 37*c_0101_3^5 - 13*c_0101_3^4 + 49*c_0101_3^3 - 31*c_0101_3^2 + 9*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB