Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 374835928] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2251 geometric_solution 5.68106397 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 0.509815253383 0.274656959430 2 0 3 0 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 1 -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 0.969927593760 0.544363664973 1 4 3 5 0132 0132 3012 0132 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 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 0.952496070527 0.871075369943 5 2 4 1 1023 1230 0132 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 1 0 -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 0.952496070527 0.871075369943 4 2 4 3 2031 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371721095034 0.873818526949 6 3 2 6 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852331727391 0.599433791876 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 1.635403915534 0.434425594488 ==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' : negation(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' : negation(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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 20*c_0101_6^2 + 85*c_0101_6 + 81, c_0011_0 - 1, c_0011_1 + c_0101_6^2 + 3*c_0101_6, c_0011_3 + c_0101_6^2 + 2*c_0101_6, c_0101_0 + c_0101_6^2 + 2*c_0101_6 - 1, c_0101_1 + c_0101_6^2 + 2*c_0101_6 - 1, c_0101_3 - c_0101_6^2 - 2*c_0101_6 + 1, c_0101_6^3 + 4*c_0101_6^2 + 3*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 20*c_0101_6^2 + 85*c_0101_6 - 81, c_0011_0 - 1, c_0011_1 + c_0101_6^2 - 3*c_0101_6, c_0011_3 + c_0101_6^2 - 2*c_0101_6, c_0101_0 - c_0101_6^2 + 2*c_0101_6 + 1, c_0101_1 + c_0101_6^2 - 2*c_0101_6 - 1, c_0101_3 + c_0101_6^2 - 2*c_0101_6 - 1, c_0101_6^3 - 4*c_0101_6^2 + 3*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 662/117*c_0101_6^5 - 2813/117*c_0101_6^3 - 7978/117*c_0101_6, c_0011_0 - 1, c_0011_1 + 1/13*c_0101_6^4 + 8/13*c_0101_6^2 + 4/13, c_0011_3 - 2/13*c_0101_6^4 - 3/13*c_0101_6^2 - 8/13, c_0101_0 + 1/13*c_0101_6^5 + 8/13*c_0101_6^3 + 17/13*c_0101_6, c_0101_1 - 2/13*c_0101_6^4 - 3/13*c_0101_6^2 + 5/13, c_0101_3 + 1/13*c_0101_6^5 + 8/13*c_0101_6^3 + 17/13*c_0101_6, c_0101_6^6 + 4*c_0101_6^4 + 11*c_0101_6^2 - 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 45417651273831/5056981729088*c_0101_6^17 - 52756930702383/5056981729088*c_0101_6^15 - 47551160886801/1264245432272*c_0101_6^13 + 665880288397833/2528490864544*c_0101_6^11 + 253978096845333/632122716136*c_0101_6^9 + 3479723239426495/2528490864544*c_0101_6^7 - 4033281613696557/1264245432272*c_0101_6^5 - 3163934704846143/2528490864544*c_0101_6^3 - 2245594377368685/5056981729088*c_0101_6, c_0011_0 - 1, c_0011_1 + 2105399794/79015339517*c_0101_6^16 + 1968328073/79015339517*c_0101_6^14 + 8300930624/79015339517*c_0101_6^12 - 63141370971/79015339517*c_0101_6^10 - 80772647378/79015339517*c_0101_6^8 - 299863612391/79015339517*c_0101_6^6 + 812643026695/79015339517*c_0101_6^4 + 134901081566/79015339517*c_0101_6^2 - 8749324033/79015339517, c_0011_3 + 630644190/79015339517*c_0101_6^16 + 1031791496/79015339517*c_0101_6^14 + 2460373792/79015339517*c_0101_6^12 - 18038987963/79015339517*c_0101_6^10 - 39029281233/79015339517*c_0101_6^8 - 99681339157/79015339517*c_0101_6^6 + 198271323952/79015339517*c_0101_6^4 + 257121637903/79015339517*c_0101_6^2 - 26803165305/79015339517, c_0101_0 + 2672136109/158030679034*c_0101_6^17 + 5311771933/158030679034*c_0101_6^15 + 6263472194/79015339517*c_0101_6^13 - 35470747078/79015339517*c_0101_6^11 - 95026530621/79015339517*c_0101_6^9 - 235685344800/79015339517*c_0101_6^7 + 334887230229/79015339517*c_0101_6^5 + 677260196545/79015339517*c_0101_6^3 + 66090670851/158030679034*c_0101_6, c_0101_1 - 203043636/79015339517*c_0101_6^16 - 719080597/79015339517*c_0101_6^14 - 1273990058/79015339517*c_0101_6^12 + 3861342634/79015339517*c_0101_6^10 + 23769761088/79015339517*c_0101_6^8 + 42050342002/79015339517*c_0101_6^6 + 3177162469/79015339517*c_0101_6^4 - 211530771758/79015339517*c_0101_6^2 + 66262226121/79015339517, c_0101_3 - 2736043984/79015339517*c_0101_6^17 - 3000119569/79015339517*c_0101_6^15 - 10761304416/79015339517*c_0101_6^13 + 81180358934/79015339517*c_0101_6^11 + 119801928611/79015339517*c_0101_6^9 + 399544951548/79015339517*c_0101_6^7 - 1010914350647/79015339517*c_0101_6^5 - 392022719469/79015339517*c_0101_6^3 + 35552489338/79015339517*c_0101_6, c_0101_6^18 + c_0101_6^16 + 4*c_0101_6^14 - 30*c_0101_6^12 - 40*c_0101_6^10 - 146*c_0101_6^8 + 380*c_0101_6^6 + 82*c_0101_6^4 + 27*c_0101_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB