Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 1730608049] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1511 geometric_solution 5.31579255 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.310663116365 0.628016390429 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 1 0 -1 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 0 1 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 0.696192590681 1.071826787432 1 3 0 4 1230 0132 0132 2310 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 -1 0 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 0.696192590681 1.071826787432 1 2 3 3 0132 0132 1230 3012 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 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 0.980987706301 0.934542749825 2 5 5 1 3201 0132 3201 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 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 0.121730645476 0.514750885924 4 4 6 6 2310 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.732856640263 1.511182260441 6 5 5 6 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.547928356319 0.141403932926 ==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' : 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' : 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' : 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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 67628121864274213516/441064302938414191015*c_0101_5^21 - 69264506326788997197/63009186134059170145*c_0101_5^19 - 9186771863613653057494/441064302938414191015*c_0101_5^17 - 22759037873480063172622/441064302938414191015*c_0101_5^15 + 1650589237860473457374/441064302938414191015*c_0101_5^13 - 6755066956905481010491/88212860587682838203*c_0101_5^11 + 105923086038094345089269/441064302938414191015*c_0101_5^9 - 1538626521027598777695/12601837226811834029*c_0101_5^7 + 39513500779104530341726/441064302938414191015*c_0101_5^5 - 13384606070284269547932/441064302938414191015*c_0101_5^3 - 5808051876426275868972/441064302938414191015*c_0101_5, c_0011_0 - 1, c_0011_1 - 16310593426029250/12601837226811834029*c_0101_5^21 + 14148082660558712/1800262460973119147*c_0101_5^19 + 2295638292463547786/12601837226811834029*c_0101_5^17 + 8238090364493281132/12601837226811834029*c_0101_5^15 + 12421525187967833858/12601837226811834029*c_0101_5^13 + 27748594787558882252/12601837226811834029*c_0101_5^11 - 8647847525412831259/12601837226811834029*c_0101_5^9 + 1679847491809348830/1800262460973119147*c_0101_5^7 - 56399136851276736756/12601837226811834029*c_0101_5^5 - 607905720476377768/12601837226811834029*c_0101_5^3 - 16972493182491258319/12601837226811834029*c_0101_5, c_0011_4 + 16293188402787931/1800262460973119147*c_0101_5^20 - 108640285056127360/1800262460973119147*c_0101_5^18 - 2265147535860898966/1800262460973119147*c_0101_5^16 - 6652153129244154135/1800262460973119147*c_0101_5^14 - 3131656914541762553/1800262460973119147*c_0101_5^12 - 9526190783411541724/1800262460973119147*c_0101_5^10 + 20588659717122612925/1800262460973119147*c_0101_5^8 - 2125126854625155337/1800262460973119147*c_0101_5^6 + 8549612837640597301/1800262460973119147*c_0101_5^4 + 530343648538292285/1800262460973119147*c_0101_5^2 - 681636378331614239/1800262460973119147, c_0011_6 - 11598653156159155/1800262460973119147*c_0101_5^20 + 79502677500686829/1800262460973119147*c_0101_5^18 + 1603470356270901576/1800262460973119147*c_0101_5^16 + 4375809377595776794/1800262460973119147*c_0101_5^14 + 853578456285228544/1800262460973119147*c_0101_5^12 + 6017447608770081067/1800262460973119147*c_0101_5^10 - 16409829098784433172/1800262460973119147*c_0101_5^8 + 4565199252208481598/1800262460973119147*c_0101_5^6 - 5076188121898219288/1800262460973119147*c_0101_5^4 - 1028732754537745285/1800262460973119147*c_0101_5^2 + 118686734518525707/1800262460973119147, c_0101_0 + 2392390861627277/1800262460973119147*c_0101_5^20 - 12204513052960423/1800262460973119147*c_0101_5^18 - 355170951978356410/1800262460973119147*c_0101_5^16 - 1516730929296169288/1800262460973119147*c_0101_5^14 - 2293007014691168929/1800262460973119147*c_0101_5^12 - 2883297580483869970/1800262460973119147*c_0101_5^10 + 547448829747125552/1800262460973119147*c_0101_5^8 + 4217930998740182043/1800262460973119147*c_0101_5^6 + 2943818666007754780/1800262460973119147*c_0101_5^4 + 3184021206016278700/1800262460973119147*c_0101_5^2 - 473686020616630842/1800262460973119147, c_0101_1 - 78073219019351414/12601837226811834029*c_0101_5^21 + 80126108263629838/1800262460973119147*c_0101_5^19 + 10586655919523923378/12601837226811834029*c_0101_5^17 + 26162956803661651317/12601837226811834029*c_0101_5^15 - 482754687193475357/12601837226811834029*c_0101_5^13 + 45759347054034157951/12601837226811834029*c_0101_5^11 - 119782695850586990283/12601837226811834029*c_0101_5^9 + 10406716201155089589/1800262460973119147*c_0101_5^7 - 71122765253542082508/12601837226811834029*c_0101_5^5 + 5810585936152896426/12601837226811834029*c_0101_5^3 + 2164230898697115726/12601837226811834029*c_0101_5, c_0101_5^22 - 7*c_0101_5^20 - 137*c_0101_5^18 - 360*c_0101_5^16 - 40*c_0101_5^14 - 507*c_0101_5^12 + 1509*c_0101_5^10 - 532*c_0101_5^8 + 591*c_0101_5^6 - 170*c_0101_5^4 - 76*c_0101_5^2 - 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB