Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 3549580969] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3238 geometric_solution 6.36764142 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472390578920 0.265074816804 0 5 6 2 0132 0132 0132 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 0.769289741838 0.797973097477 3 0 1 5 2031 0132 0132 1302 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975584771664 1.159445249347 4 5 2 0 3012 1302 1302 0132 0 0 0 0 0 0 -1 1 -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 -1 0 1 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 0.578222550348 1.164767898660 6 5 0 3 0132 2031 0132 1230 0 0 0 0 0 0 -1 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 -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 0.958646456503 0.967035562550 4 1 2 3 1302 0132 2031 2031 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294548019003 1.284611384201 4 6 6 1 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698068844518 0.617661165530 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0110_2']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0110_2']), '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_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_0011_4, c_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 18012879269/710743120*c_1001_0^12 - 110060038281/710743120*c_1001_0^11 + 264166368429/710743120*c_1001_0^10 - 221260910187/355371560*c_1001_0^9 + 18679754628/44421445*c_1001_0^8 - 21798541237/88842890*c_1001_0^7 - 152943733457/355371560*c_1001_0^6 + 160120809623/355371560*c_1001_0^5 - 771556874767/710743120*c_1001_0^4 + 45934577409/71074312*c_1001_0^3 - 29363080663/35537156*c_1001_0^2 + 84132453497/355371560*c_1001_0 - 180121854523/710743120, c_0011_0 - 1, c_0011_3 + 1657151/8884289*c_1001_0^12 - 9946224/8884289*c_1001_0^11 + 22133392/8884289*c_1001_0^10 - 31139929/8884289*c_1001_0^9 + 6441469/8884289*c_1001_0^8 + 10864566/8884289*c_1001_0^7 - 40389098/8884289*c_1001_0^6 + 18318294/8884289*c_1001_0^5 - 43203989/8884289*c_1001_0^4 + 2310211/8884289*c_1001_0^3 - 17497639/8884289*c_1001_0^2 - 10588092/8884289*c_1001_0 - 10894548/8884289, c_0011_4 + 2617099/8884289*c_1001_0^12 - 16261671/8884289*c_1001_0^11 + 38536581/8884289*c_1001_0^10 - 59472526/8884289*c_1001_0^9 + 29985001/8884289*c_1001_0^8 + 3404068/8884289*c_1001_0^7 - 59069370/8884289*c_1001_0^6 + 55386040/8884289*c_1001_0^5 - 73952852/8884289*c_1001_0^4 + 45325506/8884289*c_1001_0^3 - 39808345/8884289*c_1001_0^2 + 16785484/8884289*c_1001_0 - 4535969/8884289, c_0101_0 + 2339378/8884289*c_1001_0^12 - 12495634/8884289*c_1001_0^11 + 23613691/8884289*c_1001_0^10 - 33614124/8884289*c_1001_0^9 + 1628018/8884289*c_1001_0^8 - 1172629/8884289*c_1001_0^7 - 52501328/8884289*c_1001_0^6 + 21054437/8884289*c_1001_0^5 - 67867451/8884289*c_1001_0^4 - 1955040/8884289*c_1001_0^3 - 23835546/8884289*c_1001_0^2 - 12733908/8884289*c_1001_0 - 585993/8884289, c_0101_1 - 1751910/8884289*c_1001_0^12 + 10295497/8884289*c_1001_0^11 - 20425516/8884289*c_1001_0^10 + 21540322/8884289*c_1001_0^9 + 11821388/8884289*c_1001_0^8 - 31573235/8884289*c_1001_0^7 + 34907843/8884289*c_1001_0^6 - 11361807/8884289*c_1001_0^5 + 8660516/8884289*c_1001_0^4 - 1374757/8884289*c_1001_0^3 - 6101996/8884289*c_1001_0^2 + 4440127/8884289*c_1001_0 - 7811142/8884289, c_0110_2 + 94139/8884289*c_1001_0^12 - 259419/8884289*c_1001_0^11 - 99369/8884289*c_1001_0^10 - 2030620/8884289*c_1001_0^9 + 8870278/8884289*c_1001_0^8 - 21246617/8884289*c_1001_0^7 + 19024640/8884289*c_1001_0^6 + 1998632/8884289*c_1001_0^5 - 18546307/8884289*c_1001_0^4 + 25852074/8884289*c_1001_0^3 - 21943133/8884289*c_1001_0^2 + 20378162/8884289*c_1001_0 - 5377625/8884289, c_1001_0^13 - 6*c_1001_0^12 + 14*c_1001_0^11 - 23*c_1001_0^10 + 14*c_1001_0^9 - 8*c_1001_0^8 - 18*c_1001_0^7 + 16*c_1001_0^6 - 41*c_1001_0^5 + 21*c_1001_0^4 - 30*c_1001_0^3 + 6*c_1001_0^2 - 9*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB