Magma V2.19-8 Tue Aug 20 2013 23:39:27 on localhost [Seed = 3634281603] Type ? for help. Type -D to quit. Loading file "K13n468__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n468 geometric_solution 9.90548557 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 0 2 0 0132 1302 0132 2031 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 -1 0 1 -3 0 2 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420810612755 0.521536910789 0 3 2 4 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 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 -3 3 3 0 0 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062954400648 1.161339216128 5 1 6 0 0132 1230 0132 0132 0 0 0 0 0 0 0 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 0 0 0 0 2 0 0 -2 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062954400648 1.161339216128 6 1 7 6 2310 0132 0132 3201 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 -2 0 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413764163232 0.727332282099 8 8 1 9 0132 1230 0132 0132 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 0 0 0 0 0 3 -3 0 -3 0 3 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514057869015 0.638643558548 2 7 10 9 0132 3012 0132 3120 0 0 0 0 0 0 0 0 -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 0 0 0 -2 0 2 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479705910889 0.275128068601 9 3 3 2 3120 2310 3201 0132 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 0 0 0 0 0 0 0 3 -3 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413764163232 0.727332282099 5 8 10 3 1230 1302 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 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 0.363369186326 0.663777315537 4 10 4 7 0132 2103 3012 2031 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 3 0 -3 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 0.235170747472 0.950191223513 5 10 4 6 3120 1230 0132 3120 0 0 0 0 0 -1 0 1 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 -2 0 2 0 0 0 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514057869015 0.638643558548 7 8 9 5 2031 2103 3012 0132 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 -1 1 0 0 0 2 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.380925827522 0.539313977311 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_6']), '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_8']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_2']), 'c_1100_8' : negation(d['c_1001_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 348926845273/206830277253*c_1001_3^10 - 193749429527/22981141917*c_1001_3^9 - 6578945580512/206830277253*c_1001_3^8 - 15378418151734/206830277253*c_1001_3^7 - 36261876951263/206830277253*c_1001_3^6 - 20598153214678/68943425751*c_1001_3^5 - 117724749560786/206830277253*c_1001_3^4 - 121883468035714/206830277253*c_1001_3^3 - 166465534161017/206830277253*c_1001_3^2 - 68403814602053/206830277253*c_1001_3 - 1492580627977/2553460213, c_0011_0 - 1, c_0011_10 + 305010116/7660380639*c_1001_3^10 + 324403918/2553460213*c_1001_3^9 + 2489136148/7660380639*c_1001_3^8 + 3866281364/7660380639*c_1001_3^7 + 10987771300/7660380639*c_1001_3^6 + 3593795379/2553460213*c_1001_3^5 + 21548730196/7660380639*c_1001_3^4 - 297276289/7660380639*c_1001_3^3 + 18711486574/7660380639*c_1001_3^2 + 35779105/7660380639*c_1001_3 + 1698942102/2553460213, c_0011_2 - 128065076/7660380639*c_1001_3^10 - 45375256/2553460213*c_1001_3^9 - 147471319/7660380639*c_1001_3^8 + 679001692/7660380639*c_1001_3^7 - 813682804/7660380639*c_1001_3^6 + 1861528780/2553460213*c_1001_3^5 + 1447580000/7660380639*c_1001_3^4 + 19007040616/7660380639*c_1001_3^3 - 4353873208/7660380639*c_1001_3^2 + 8592235448/7660380639*c_1001_3 + 941910952/2553460213, c_0011_6 + 29091536/2553460213*c_1001_3^10 + 113596979/2553460213*c_1001_3^9 + 366110022/2553460213*c_1001_3^8 + 748523699/2553460213*c_1001_3^7 + 1789103136/2553460213*c_1001_3^6 + 2390718031/2553460213*c_1001_3^5 + 4429847092/2553460213*c_1001_3^4 + 3117755898/2553460213*c_1001_3^3 + 4256166084/2553460213*c_1001_3^2 + 1374753279/2553460213*c_1001_3 + 673770182/2553460213, c_0011_7 + 396854323/7660380639*c_1001_3^10 + 378719068/2553460213*c_1001_3^9 + 2862994670/7660380639*c_1001_3^8 + 4168538140/7660380639*c_1001_3^7 + 13009941773/7660380639*c_1001_3^6 + 3387773096/2553460213*c_1001_3^5 + 24105619742/7660380639*c_1001_3^4 - 9267210164/7660380639*c_1001_3^3 + 22945011023/7660380639*c_1001_3^2 - 4704930052/7660380639*c_1001_3 + 1007356120/2553460213, c_0101_0 - 29091536/2553460213*c_1001_3^10 - 113596979/2553460213*c_1001_3^9 - 366110022/2553460213*c_1001_3^8 - 748523699/2553460213*c_1001_3^7 - 1789103136/2553460213*c_1001_3^6 - 2390718031/2553460213*c_1001_3^5 - 4429847092/2553460213*c_1001_3^4 - 3117755898/2553460213*c_1001_3^3 - 4256166084/2553460213*c_1001_3^2 - 1374753279/2553460213*c_1001_3 - 673770182/2553460213, c_0101_1 + 53598284/2553460213*c_1001_3^10 + 178752784/2553460213*c_1001_3^9 + 415172538/2553460213*c_1001_3^8 + 602406329/2553460213*c_1001_3^7 + 1609206556/2553460213*c_1001_3^6 + 1506877329/2553460213*c_1001_3^5 + 2204651624/2553460213*c_1001_3^4 - 1025913198/2553460213*c_1001_3^3 - 1434775960/2553460213*c_1001_3^2 - 176712175/2553460213*c_1001_3 - 2843035167/2553460213, c_0101_2 - c_1001_3, c_0101_6 + 128065076/7660380639*c_1001_3^10 + 45375256/2553460213*c_1001_3^9 + 147471319/7660380639*c_1001_3^8 - 679001692/7660380639*c_1001_3^7 + 813682804/7660380639*c_1001_3^6 - 1861528780/2553460213*c_1001_3^5 - 1447580000/7660380639*c_1001_3^4 - 19007040616/7660380639*c_1001_3^3 + 4353873208/7660380639*c_1001_3^2 - 8592235448/7660380639*c_1001_3 - 941910952/2553460213, c_0101_8 - 158539342/7660380639*c_1001_3^10 - 184556708/2553460213*c_1001_3^9 - 1667224580/7660380639*c_1001_3^8 - 3284946070/7660380639*c_1001_3^7 - 8453975288/7660380639*c_1001_3^6 - 3609060718/2553460213*c_1001_3^5 - 21391011893/7660380639*c_1001_3^4 - 13458922354/7660380639*c_1001_3^3 - 21154570844/7660380639*c_1001_3^2 - 2953265480/7660380639*c_1001_3 - 892036412/2553460213, c_1001_3^11 + 3*c_1001_3^10 + 8*c_1001_3^9 + 13*c_1001_3^8 + 38*c_1001_3^7 + 36*c_1001_3^6 + 80*c_1001_3^5 + 7*c_1001_3^4 + 83*c_1001_3^3 - c_1001_3^2 + 6*c_1001_3 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB