Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 341149890] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1501 geometric_solution 5.30912527 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 1 0 -1 1 0 -1 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 -0.174408101468 0.135605968382 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 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 1 -1 0 -1 0 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 2.733122478519 2.681376802319 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 1 0 -1 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 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184224542297 0.454227048007 2 4 6 5 0132 2310 0132 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 1 -1 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 0.002726429753 1.042618446232 6 5 2 3 1023 2310 0132 3201 0 0 0 0 0 -1 1 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 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 0.002726429753 1.042618446232 5 5 3 4 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 0 0 0 0 -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 -1 0 1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959087138217 1.044555850104 6 4 6 3 2031 1023 1302 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 -1 0 1 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 0.478669425379 0.480344673318 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_3' : negation(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_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 176755053126/4256870477*c_0101_3^13 + 271028782423/4256870477*c_0101_3^12 - 5040680336/4256870477*c_0101_3^11 - 1751927029295/4256870477*c_0101_3^10 - 76605228003/4256870477*c_0101_3^9 - 3656567378988/4256870477*c_0101_3^8 - 11052555056290/4256870477*c_0101_3^7 - 5148552269532/4256870477*c_0101_3^6 + 6431878679414/4256870477*c_0101_3^5 + 9426814540486/4256870477*c_0101_3^4 - 576019908389/4256870477*c_0101_3^3 - 879558412972/4256870477*c_0101_3^2 + 3750624863924/4256870477*c_0101_3 - 388883645466/4256870477, c_0011_0 - 1, c_0011_2 + 758080953/4256870477*c_0101_3^13 - 1512808375/4256870477*c_0101_3^12 + 934293529/4256870477*c_0101_3^11 + 6315673146/4256870477*c_0101_3^10 - 1451033571/4256870477*c_0101_3^9 + 17257193000/4256870477*c_0101_3^8 + 36603420434/4256870477*c_0101_3^7 + 12129412296/4256870477*c_0101_3^6 - 31172584165/4256870477*c_0101_3^5 - 34763595603/4256870477*c_0101_3^4 + 13546029919/4256870477*c_0101_3^3 + 5100228207/4256870477*c_0101_3^2 - 6026535668/4256870477*c_0101_3 - 1231211126/4256870477, c_0011_4 - 194499420/4256870477*c_0011_5*c_0101_3^13 - 51056980/4256870477*c_0011_5*c_0101_3^12 + 51736738/4256870477*c_0011_5*c_0101_3^11 - 879505765/4256870477*c_0011_5*c_0101_3^10 - 4473666494/4256870477*c_0011_5*c_0101_3^9 - 7457930213/4256870477*c_0011_5*c_0101_3^8 - 18715486000/4256870477*c_0011_5*c_0101_3^7 - 38102142174/4256870477*c_0011_5*c_0101_3^6 - 23286171865/4256870477*c_0011_5*c_0101_3^5 + 17742995568/4256870477*c_0011_5*c_0101_3^4 + 40286946366/4256870477*c_0011_5*c_0101_3^3 + 21952360992/4256870477*c_0011_5*c_0101_3^2 - 1967745439/4256870477*c_0011_5*c_0101_3 + 582143996/4256870477*c_0011_5, c_0011_5^2 + 26433049219/225614135281*c_0101_3^13 - 53245915852/225614135281*c_0101_3^12 + 26582937232/225614135281*c_0101_3^11 + 237442100980/225614135281*c_0101_3^10 - 85265729742/225614135281*c_0101_3^9 + 587290277018/225614135281*c_0101_3^8 + 1256045365694/225614135281*c_0101_3^7 + 169358473202/225614135281*c_0101_3^6 - 1272541385894/225614135281*c_0101_3^5 - 1541958202656/225614135281*c_0101_3^4 + 289482274050/225614135281*c_0101_3^3 + 308580247299/225614135281*c_0101_3^2 - 32710780318/225614135281*c_0101_3 - 22878395825/225614135281, c_0101_0 - 688851440/4256870477*c_0101_3^13 + 913022072/4256870477*c_0101_3^12 - 215264879/4256870477*c_0101_3^11 - 5784097582/4256870477*c_0101_3^10 - 2677800758/4256870477*c_0101_3^9 - 17434201165/4256870477*c_0101_3^8 - 43571598645/4256870477*c_0101_3^7 - 38775798923/4256870477*c_0101_3^6 + 5975126693/4256870477*c_0101_3^5 + 45102369759/4256870477*c_0101_3^4 + 27327924439/4256870477*c_0101_3^3 + 6403088193/4256870477*c_0101_3^2 - 3450174718/4256870477*c_0101_3 + 10957997/4256870477, c_0101_1 + 489697202/4256870477*c_0101_3^13 - 1060883201/4256870477*c_0101_3^12 + 575840817/4256870477*c_0101_3^11 + 4504078967/4256870477*c_0101_3^10 - 2506675161/4256870477*c_0101_3^9 + 10781722661/4256870477*c_0101_3^8 + 22120101625/4256870477*c_0101_3^7 - 2665194463/4256870477*c_0101_3^6 - 26799680176/4256870477*c_0101_3^5 - 24061020682/4256870477*c_0101_3^4 + 10881641286/4256870477*c_0101_3^3 + 2998030233/4256870477*c_0101_3^2 - 1483605642/4256870477*c_0101_3 + 3934371039/4256870477, c_0101_3^14 - c_0101_3^13 - c_0101_3^12 + 10*c_0101_3^11 + 6*c_0101_3^10 + 19*c_0101_3^9 + 71*c_0101_3^8 + 57*c_0101_3^7 - 39*c_0101_3^6 - 96*c_0101_3^5 - 30*c_0101_3^4 + 27*c_0101_3^3 + 2*c_0101_3^2 - 4*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB