Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 1528481675] 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' : 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' : 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_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: 20 Groebner basis: [ t + 22465801/7696115*c_0110_6^9 + 95450204/7696115*c_0110_6^8 + 18619604/7696115*c_0110_6^7 + 872055077/15392230*c_0110_6^6 - 68716187/1539223*c_0110_6^5 - 1734549091/15392230*c_0110_6^4 + 20425715/3078446*c_0110_6^3 + 7746861/7696115*c_0110_6^2 + 50257384/1099445*c_0110_6 + 446744001/15392230, c_0011_0 - 1, c_0011_2 + 37915/219889*c_0110_6^9 + 241543/439778*c_0110_6^8 - 151965/219889*c_0110_6^7 + 656861/219889*c_0110_6^6 - 1345008/219889*c_0110_6^5 - 1087640/219889*c_0110_6^4 + 3690143/439778*c_0110_6^3 + 352730/219889*c_0110_6^2 - 474735/439778*c_0110_6 - 332117/219889, c_0011_4 + 57779/439778*c_0011_6*c_0110_6^9 + 110620/219889*c_0011_6*c_0110_6^8 - 33585/439778*c_0011_6*c_0110_6^7 + 600798/219889*c_0011_6*c_0110_6^6 - 628124/219889*c_0011_6*c_0110_6^5 - 1243407/439778*c_0011_6*c_0110_6^4 + 519529/219889*c_0011_6*c_0110_6^3 + 63113/219889*c_0011_6*c_0110_6^2 + 259473/219889*c_0011_6*c_0110_6 + 14287/439778*c_0011_6, c_0011_6^2 + 81749/439778*c_0110_6^9 + 287559/439778*c_0110_6^8 - 212997/439778*c_0110_6^7 + 1444591/439778*c_0110_6^6 - 2313233/439778*c_0110_6^5 - 2638791/439778*c_0110_6^4 + 1676115/219889*c_0110_6^3 + 876719/439778*c_0110_6^2 - 191760/219889*c_0110_6 - 727901/439778, c_0101_0 + 67249/439778*c_0110_6^9 + 275879/439778*c_0110_6^8 - 439/439778*c_0110_6^7 + 619673/219889*c_0110_6^6 - 585978/219889*c_0110_6^5 - 2528939/439778*c_0110_6^4 + 853311/439778*c_0110_6^3 + 724668/219889*c_0110_6^2 + 556221/439778*c_0110_6 - 491393/439778, c_0101_1 - 127731/439778*c_0110_6^9 - 493837/439778*c_0110_6^8 + 63620/219889*c_0110_6^7 - 1193235/219889*c_0110_6^6 + 2624591/439778*c_0110_6^5 + 2187545/219889*c_0110_6^4 - 3760745/439778*c_0110_6^3 - 656758/219889*c_0110_6^2 + 226302/219889*c_0110_6 + 754489/439778, c_0110_6^10 + 4*c_0110_6^9 - c_0110_6^8 + 16*c_0110_6^7 - 20*c_0110_6^6 - 48*c_0110_6^5 + 25*c_0110_6^4 + 36*c_0110_6^3 + 3*c_0110_6^2 - 12*c_0110_6 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB