Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 206409946] 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' : 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' : 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 + 98535342587006/967105612335*c_0101_3^13 + 77036336093473/967105612335*c_0101_3^12 - 23005684302260/193421122467*c_0101_3^11 - 565492094874361/967105612335*c_0101_3^10 + 21341793687107/64473707489*c_0101_3^9 - 2339032677558268/967105612335*c_0101_3^8 - 257299814461908/322368537445*c_0101_3^7 - 2693363574639802/967105612335*c_0101_3^6 - 4052927832850046/967105612335*c_0101_3^5 + 1212264342152632/322368537445*c_0101_3^4 - 1254031907704241/322368537445*c_0101_3^3 + 2504822397063376/967105612335*c_0101_3^2 - 327235399420006/967105612335*c_0101_3 + 467425828597612/967105612335, c_0011_0 - 1, c_0011_2 - 1750888717/64473707489*c_0101_3^13 - 2920799419/64473707489*c_0101_3^12 + 630740083/64473707489*c_0101_3^11 + 11874480678/64473707489*c_0101_3^10 + 2286715827/64473707489*c_0101_3^9 + 35641435640/64473707489*c_0101_3^8 + 49305686710/64473707489*c_0101_3^7 + 70464502440/64473707489*c_0101_3^6 + 110550824433/64473707489*c_0101_3^5 + 40732155757/64473707489*c_0101_3^4 + 66538078917/64473707489*c_0101_3^3 + 27096440639/64473707489*c_0101_3^2 + 51245856392/64473707489*c_0101_3 - 26775818006/64473707489, c_0011_4 + 4174661172/64473707489*c_0011_5*c_0101_3^13 + 755995620/64473707489*c_0011_5*c_0101_3^12 - 3828288162/64473707489*c_0011_5*c_0101_3^11 - 16296088681/64473707489*c_0011_5*c_0101_3^10 + 24303960954/64473707489*c_0011_5*c_0101_3^9 - 131137201489/64473707489*c_0011_5*c_0101_3^8 + 23847665564/64473707489*c_0011_5*c_0101_3^7 - 142020305210/64473707489*c_0011_5*c_0101_3^6 - 175382518671/64473707489*c_0011_5*c_0101_3^5 + 190704886260/64473707489*c_0011_5*c_0101_3^4 - 380446635282/64473707489*c_0011_5*c_0101_3^3 + 307229227768/64473707489*c_0011_5*c_0101_3^2 + 1543941747/64473707489*c_0011_5*c_0101_3 + 1858941396/64473707489*c_0011_5, c_0011_5^2 + 24343972073/64473707489*c_0101_3^13 + 26364865684/64473707489*c_0101_3^12 - 27159579024/64473707489*c_0101_3^11 - 151107690136/64473707489*c_0101_3^10 + 45581652902/64473707489*c_0101_3^9 - 527730757730/64473707489*c_0101_3^8 - 387697877714/64473707489*c_0101_3^7 - 631433927202/64473707489*c_0101_3^6 - 1172511234222/64473707489*c_0101_3^5 + 644199137888/64473707489*c_0101_3^4 - 477513277126/64473707489*c_0101_3^3 + 134714234715/64473707489*c_0101_3^2 + 209281056090/64473707489*c_0101_3 + 24650886463/64473707489, c_0101_0 + 3771782328/64473707489*c_0101_3^13 + 105192468/64473707489*c_0101_3^12 - 5674597781/64473707489*c_0101_3^11 - 14980771922/64473707489*c_0101_3^10 + 29893884122/64473707489*c_0101_3^9 - 106867676405/64473707489*c_0101_3^8 + 25235576205/64473707489*c_0101_3^7 - 98809049231/64473707489*c_0101_3^6 - 147982904589/64473707489*c_0101_3^5 + 212073729307/64473707489*c_0101_3^4 - 345671369443/64473707489*c_0101_3^3 + 133496671305/64473707489*c_0101_3^2 - 59497150732/64473707489*c_0101_3 + 2431845933/64473707489, c_0101_1 - 1140996862/64473707489*c_0101_3^13 - 1713901399/64473707489*c_0101_3^12 + 165213481/64473707489*c_0101_3^11 + 6768082557/64473707489*c_0101_3^10 - 690876121/64473707489*c_0101_3^9 + 26412435511/64473707489*c_0101_3^8 + 33599686725/64473707489*c_0101_3^7 + 64806193063/64473707489*c_0101_3^6 + 71628994728/64473707489*c_0101_3^5 + 38189857082/64473707489*c_0101_3^4 + 45588192906/64473707489*c_0101_3^3 + 19159032503/64473707489*c_0101_3^2 + 22753894986/64473707489*c_0101_3 - 50494938007/64473707489, c_0101_3^14 + c_0101_3^13 - c_0101_3^12 - 6*c_0101_3^11 + 2*c_0101_3^10 - 23*c_0101_3^9 - 13*c_0101_3^8 - 29*c_0101_3^7 - 47*c_0101_3^6 + 28*c_0101_3^5 - 30*c_0101_3^4 + 17*c_0101_3^3 + 2*c_0101_3^2 + 4*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB