Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 189437497] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2786 geometric_solution 6.02236814 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 -1 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346406359465 0.405760360098 3 2 4 0 0132 3012 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 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 0.420041168444 0.879171620070 1 5 0 4 1230 0132 0132 2310 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 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 0.420041168444 0.879171620070 1 4 5 6 0132 0213 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 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 -0.208050668562 1.040776478935 2 5 3 1 3201 2031 0213 0132 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 1.794360320473 0.786519753970 4 2 6 3 1302 0132 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 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 -0.208050668562 1.040776478935 6 5 3 6 3201 3201 0132 2310 0 0 0 0 0 -1 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 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 0.184687552807 0.923902154425 ==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_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_4']), '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_2']), '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_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), '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_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_4'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 25493425766/1423926105*c_0101_1^9 - 57300798788/94928407*c_0101_1^8 + 730484576489/1423926105*c_0101_1^7 + 1667292586801/1423926105*c_0101_1^6 + 1656363316702/474642035*c_0101_1^5 + 3051359969869/1423926105*c_0101_1^4 + 88130288678/203418015*c_0101_1^3 - 64856721718/474642035*c_0101_1^2 - 68775120872/1423926105*c_0101_1 - 72561950659/1423926105, c_0011_0 - 1, c_0011_1 + 25192451/94928407*c_0101_1^9 + 844917831/94928407*c_0101_1^8 - 2614375612/284785221*c_0101_1^7 - 4530321865/284785221*c_0101_1^6 - 13976414773/284785221*c_0101_1^5 - 6467350340/284785221*c_0101_1^4 - 36305231/40683603*c_0101_1^3 + 1519883620/284785221*c_0101_1^2 + 144018423/94928407*c_0101_1 + 54347488/284785221, c_0011_2 + 25192451/94928407*c_0101_1^9 + 844917831/94928407*c_0101_1^8 - 2614375612/284785221*c_0101_1^7 - 4530321865/284785221*c_0101_1^6 - 13976414773/284785221*c_0101_1^5 - 6467350340/284785221*c_0101_1^4 - 36305231/40683603*c_0101_1^3 + 1519883620/284785221*c_0101_1^2 + 144018423/94928407*c_0101_1 + 54347488/284785221, c_0011_4 + 42899617/284785221*c_0101_1^9 + 482363618/94928407*c_0101_1^8 - 1200462167/284785221*c_0101_1^7 - 895888254/94928407*c_0101_1^6 - 2881019948/94928407*c_0101_1^5 - 5389650353/284785221*c_0101_1^4 - 234028153/40683603*c_0101_1^3 + 23648850/94928407*c_0101_1^2 + 31197533/94928407*c_0101_1 - 116601493/284785221, c_0011_6 + 4689527/284785221*c_0101_1^9 + 56964338/94928407*c_0101_1^8 + 305166949/284785221*c_0101_1^7 - 130288379/94928407*c_0101_1^6 - 705872157/94928407*c_0101_1^5 - 1162085143/94928407*c_0101_1^4 - 424551115/40683603*c_0101_1^3 - 677298056/284785221*c_0101_1^2 - 6333797/94928407*c_0101_1 + 20139515/94928407, c_0101_0 - 7832759/284785221*c_0101_1^9 - 248340325/284785221*c_0101_1^8 + 247122205/94928407*c_0101_1^7 - 399071272/284785221*c_0101_1^6 + 1055916094/284785221*c_0101_1^5 - 1411012168/284785221*c_0101_1^4 + 37855497/13561201*c_0101_1^3 + 42500271/94928407*c_0101_1^2 - 61929563/284785221*c_0101_1 - 123585016/284785221, c_0101_1^10 + 34*c_0101_1^9 - 19*c_0101_1^8 - 72*c_0101_1^7 - 215*c_0101_1^6 - 178*c_0101_1^5 - 67*c_0101_1^4 - 5*c_0101_1^3 + 3*c_0101_1^2 + 2*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB