Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 1326371743] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1409 geometric_solution 5.25015366 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 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 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 1.813233322230 0.870784978130 0 1 1 0 0132 3201 2310 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 -0.687491843747 0.156523211406 0 3 4 0 3201 0132 0132 0132 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 1 -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 0.755476045314 0.462525265231 5 2 4 6 0132 0132 1302 0132 0 0 0 0 0 1 0 -1 -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 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 0.518341326027 0.522004895816 3 6 5 2 2031 2310 1023 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 -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 0.518341326027 0.522004895816 3 5 4 5 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 1 0 -1 0 -1 0 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 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 -0.009365611112 1.081969307336 6 6 3 4 1302 2031 0132 3201 0 0 0 0 0 0 1 -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 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 0.539671045537 0.502770553490 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 5792070577646/310541213929*c_0110_6^10 - 24212873100606/310541213929*c_0110_6^9 - 145019353610355/621082427858*c_0110_6^8 - 114746485012028/310541213929*c_0110_6^7 + 498267440755496/310541213929*c_0110_6^6 + 2227851873943033/621082427858*c_0110_6^5 - 1278908126930999/621082427858*c_0110_6^4 - 1609042624059131/621082427858*c_0110_6^3 + 718241918000603/621082427858*c_0110_6^2 + 24531670395642/310541213929*c_0110_6 - 204523599734079/621082427858, c_0011_0 - 1, c_0011_2 - 2554089194/310541213929*c_0110_6^10 - 14109029877/310541213929*c_0110_6^9 - 44294139393/310541213929*c_0110_6^8 - 91627861032/310541213929*c_0110_6^7 + 155913891511/310541213929*c_0110_6^6 + 1499711036633/621082427858*c_0110_6^5 + 223171414755/621082427858*c_0110_6^4 - 634145321523/310541213929*c_0110_6^3 + 1114473074837/621082427858*c_0110_6^2 + 153495797911/621082427858*c_0110_6 - 356474724571/621082427858, c_0011_4 + 210465620977/310541213929*c_0011_6*c_0110_6^10 + 1576845725163/621082427858*c_0011_6*c_0110_6^9 + 2307942324559/310541213929*c_0011_6*c_0110_6^8 + 6462077615061/621082427858*c_0011_6*c_0110_6^7 - 38630468897955/621082427858*c_0011_6*c_0110_6^6 - 63556790602435/621082427858*c_0011_6*c_0110_6^5 + 71450675688945/621082427858*c_0011_6*c_0110_6^4 + 21886355401097/621082427858*c_0011_6*c_0110_6^3 - 32285026097721/621082427858*c_0011_6*c_0110_6^2 + 14993790224623/621082427858*c_0011_6*c_0110_6 + 219124275117/621082427858*c_0011_6, c_0011_6^2 + 12010085799/310541213929*c_0110_6^10 + 94293919743/621082427858*c_0110_6^9 + 280796390875/621082427858*c_0110_6^8 + 215596797101/310541213929*c_0110_6^7 - 1050808712557/310541213929*c_0110_6^6 - 1946338094754/310541213929*c_0110_6^5 + 3366867034055/621082427858*c_0110_6^4 + 1098427287207/621082427858*c_0110_6^3 - 2067962366861/621082427858*c_0110_6^2 + 659012877037/621082427858*c_0110_6 - 34587052583/310541213929, c_0101_0 + 48469765991/310541213929*c_0110_6^10 + 340372472537/621082427858*c_0110_6^9 + 488710312742/310541213929*c_0110_6^8 + 1238111435807/621082427858*c_0110_6^7 - 9237142883393/621082427858*c_0110_6^6 - 6265023955006/310541213929*c_0110_6^5 + 10002171559673/310541213929*c_0110_6^4 + 1070093144225/621082427858*c_0110_6^3 - 4833739875593/310541213929*c_0110_6^2 + 2759087918917/310541213929*c_0110_6 - 155888622568/310541213929, c_0101_1 - 25996537802/310541213929*c_0110_6^10 - 89901956689/310541213929*c_0110_6^9 - 253850961356/310541213929*c_0110_6^8 - 612450061403/621082427858*c_0110_6^7 + 2534443953629/310541213929*c_0110_6^6 + 6570491976235/621082427858*c_0110_6^5 - 11629600414471/621082427858*c_0110_6^4 - 417310503237/310541213929*c_0110_6^3 + 2891461616401/310541213929*c_0110_6^2 - 3551698108207/621082427858*c_0110_6 + 97399862613/310541213929, c_0110_6^11 + 7/2*c_0110_6^10 + 10*c_0110_6^9 + 25/2*c_0110_6^8 - 96*c_0110_6^7 - 129*c_0110_6^6 + 211*c_0110_6^5 + 31/2*c_0110_6^4 - 98*c_0110_6^3 + 111/2*c_0110_6^2 - 7*c_0110_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB