Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 391547841] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1115 geometric_solution 4.98213816 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 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 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 -0.086257965528 0.414612853694 0 3 5 4 0132 2310 0132 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 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 0.515309629607 0.862815443874 6 0 0 6 0132 0132 1023 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 1.722568609060 0.530402926622 5 4 0 1 1023 0132 0132 3201 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.515309629607 0.862815443874 4 3 1 4 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.993254008951 0.597221975831 5 3 5 1 2031 1023 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734737617566 0.435861136356 2 2 6 6 0132 2310 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 1.695362211018 0.117401222036 ==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' : d['1'], 's_2_4' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0110_3']), '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 3629056*c_0110_3^22 + 1937152*c_0110_3^20 - 4434752*c_0110_3^18 - 26204320*c_0110_3^16 - 29896752*c_0110_3^14 + 6445144*c_0110_3^12 + 17993104*c_0110_3^10 - 341044*c_0110_3^8 - 3929332*c_0110_3^6 + 250778*c_0110_3^4 + 322858*c_0110_3^2 - 50649, c_0011_0 - 1, c_0011_3 + 7117824*c_0110_3^23 + 3612672*c_0110_3^21 - 8856128*c_0110_3^19 - 51215712*c_0110_3^17 - 57232736*c_0110_3^15 + 14617488*c_0110_3^13 + 35568816*c_0110_3^11 - 1515744*c_0110_3^9 - 7951368*c_0110_3^7 + 621472*c_0110_3^5 + 660286*c_0110_3^3 - 107996*c_0110_3, c_0101_0 - 3558912*c_0110_3^22 - 1806336*c_0110_3^20 + 4428064*c_0110_3^18 + 25607856*c_0110_3^16 + 28616368*c_0110_3^14 - 7308744*c_0110_3^12 - 17784408*c_0110_3^10 + 757872*c_0110_3^8 + 3975684*c_0110_3^6 - 310736*c_0110_3^4 - 330142*c_0110_3^2 + 53998, c_0101_1 - 3558912*c_0110_3^22 - 1806336*c_0110_3^20 + 4428064*c_0110_3^18 + 25607856*c_0110_3^16 + 28616368*c_0110_3^14 - 7308744*c_0110_3^12 - 17784408*c_0110_3^10 + 757872*c_0110_3^8 + 3975684*c_0110_3^6 - 310736*c_0110_3^4 - 330144*c_0110_3^2 + 53998, c_0101_2 - 2359040*c_0110_3^22 - 1192768*c_0110_3^20 + 2938944*c_0110_3^18 + 16969808*c_0110_3^16 + 18934176*c_0110_3^14 - 4892368*c_0110_3^12 - 11794416*c_0110_3^10 + 523228*c_0110_3^8 + 2641000*c_0110_3^6 - 209228*c_0110_3^4 - 219476*c_0110_3^2 + 36008, c_0101_6 + 502272*c_0110_3^22 + 252928*c_0110_3^20 - 626528*c_0110_3^18 - 3612048*c_0110_3^16 - 4023680*c_0110_3^14 + 1051920*c_0110_3^12 + 2511864*c_0110_3^10 - 116224*c_0110_3^8 - 563384*c_0110_3^6 + 45330*c_0110_3^4 + 46854*c_0110_3^2 - 7716, c_0110_3^24 + 1/4*c_0110_3^22 - 11/8*c_0110_3^20 - 55/8*c_0110_3^18 - 99/16*c_0110_3^16 + 33/8*c_0110_3^14 + 143/32*c_0110_3^12 - 3/2*c_0110_3^10 - 17/16*c_0110_3^8 + 3/8*c_0110_3^6 + 9/128*c_0110_3^4 - 5/128*c_0110_3^2 + 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB