Magma V2.19-8 Wed Aug 21 2013 00:35:38 on localhost [Seed = 4038517087] Type ? for help. Type -D to quit. Loading file "K14n22341__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22341 geometric_solution 11.49223716 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 -1 1 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 1.176647728604 0.750773534866 0 4 5 5 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165755873547 0.618590960433 6 0 8 7 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 -9 -1 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464152872525 0.493078277221 7 4 6 0 3120 2310 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238549590771 0.643308000148 1 9 0 3 1230 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557381559024 1.579304660098 10 1 1 11 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095553888425 1.569251316927 2 7 12 3 0132 2103 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622923586934 0.671515413807 10 6 2 3 3120 2103 0132 3120 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 -1 0 1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219818822706 1.197061816846 9 9 12 2 2031 0321 1023 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 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 0.515566286766 1.063359396118 11 4 8 8 1230 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.515566286766 1.063359396118 5 11 12 7 0132 2310 2103 3120 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 10 0 -10 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 -0.232791818953 0.786110423708 12 9 5 10 1023 3012 0132 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 0 0 0 0 9 1 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292302669755 0.233202789376 10 11 8 6 2103 1023 1023 0132 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 -1 1 0 0 0 0 0 -9 0 9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151676297650 1.107034274032 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_3']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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'], 'c_1100_12' : d['c_0101_3'], '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_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0011_11'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 20401104/7010975*c_1001_2^15 - 34759599/7010975*c_1001_2^14 + 60846902/1402195*c_1001_2^13 + 108680788/7010975*c_1001_2^12 - 1337531993/7010975*c_1001_2^11 + 163263357/7010975*c_1001_2^10 + 3015947722/7010975*c_1001_2^9 - 1020119337/7010975*c_1001_2^8 - 4160881744/7010975*c_1001_2^7 + 2313285772/7010975*c_1001_2^6 + 3373745254/7010975*c_1001_2^5 - 2285768692/7010975*c_1001_2^4 - 1340336334/7010975*c_1001_2^3 + 943514416/7010975*c_1001_2^2 + 354495903/7010975*c_1001_2 + 28764072/7010975, c_0011_0 - 1, c_0011_10 + 99/137*c_1001_2^15 - 105/137*c_1001_2^14 - 587/137*c_1001_2^13 + 757/137*c_1001_2^12 + 1427/137*c_1001_2^11 - 2253/137*c_1001_2^10 - 2007/137*c_1001_2^9 + 3998/137*c_1001_2^8 + 1534/137*c_1001_2^7 - 4503/137*c_1001_2^6 - 446/137*c_1001_2^5 + 2786/137*c_1001_2^4 + 132/137*c_1001_2^3 - 1212/137*c_1001_2^2 - 61/137*c_1001_2 + 195/137, c_0011_11 - 310/137*c_1001_2^15 + 362/137*c_1001_2^14 + 2119/137*c_1001_2^13 - 2816/137*c_1001_2^12 - 6111/137*c_1001_2^11 + 9251/137*c_1001_2^10 + 10133/137*c_1001_2^9 - 17981/137*c_1001_2^8 - 9687/137*c_1001_2^7 + 22449/137*c_1001_2^6 + 4185/137*c_1001_2^5 - 16656/137*c_1001_2^4 - 322/137*c_1001_2^3 + 7216/137*c_1001_2^2 - 65/137*c_1001_2 - 1416/137, c_0011_3 - 198/137*c_1001_2^15 + 210/137*c_1001_2^14 + 1448/137*c_1001_2^13 - 1788/137*c_1001_2^12 - 4498/137*c_1001_2^11 + 6424/137*c_1001_2^10 + 7987/137*c_1001_2^9 - 13476/137*c_1001_2^8 - 8411/137*c_1001_2^7 + 18185/137*c_1001_2^6 + 4454/137*c_1001_2^5 - 15025/137*c_1001_2^4 - 538/137*c_1001_2^3 + 7082/137*c_1001_2^2 - 15/137*c_1001_2 - 1760/137, c_0011_4 - 326/137*c_1001_2^15 + 325/137*c_1001_2^14 + 2254/137*c_1001_2^13 - 2591/137*c_1001_2^12 - 6635/137*c_1001_2^11 + 8735/137*c_1001_2^10 + 11379/137*c_1001_2^9 - 17509/137*c_1001_2^8 - 11709/137*c_1001_2^7 + 22745/137*c_1001_2^6 + 6456/137*c_1001_2^5 - 17848/137*c_1001_2^4 - 1896/137*c_1001_2^3 + 8429/137*c_1001_2^2 + 515/137*c_1001_2 - 1954/137, c_0011_7 - c_1001_2^15 + c_1001_2^14 + 7*c_1001_2^13 - 8*c_1001_2^12 - 21*c_1001_2^11 + 27*c_1001_2^10 + 37*c_1001_2^9 - 54*c_1001_2^8 - 40*c_1001_2^7 + 70*c_1001_2^6 + 25*c_1001_2^5 - 55*c_1001_2^4 - 10*c_1001_2^3 + 26*c_1001_2^2 + 3*c_1001_2 - 6, c_0101_0 - 149/137*c_1001_2^15 + 75/137*c_1001_2^14 + 1163/137*c_1001_2^13 - 756/137*c_1001_2^12 - 3955/137*c_1001_2^11 + 3038/137*c_1001_2^10 + 7853/137*c_1001_2^9 - 6907/137*c_1001_2^8 - 9805/137*c_1001_2^7 + 10086/137*c_1001_2^6 + 7560/137*c_1001_2^5 - 8977/137*c_1001_2^4 - 3304/137*c_1001_2^3 + 4369/137*c_1001_2^2 + 983/137*c_1001_2 - 1020/137, c_0101_1 - 272/137*c_1001_2^15 + 330/137*c_1001_2^14 + 1884/137*c_1001_2^13 - 2614/137*c_1001_2^12 - 5483/137*c_1001_2^11 + 8764/137*c_1001_2^10 + 9126/137*c_1001_2^9 - 17321/137*c_1001_2^8 - 8755/137*c_1001_2^7 + 22020/137*c_1001_2^6 + 3672/137*c_1001_2^5 - 16839/137*c_1001_2^4 - 43/137*c_1001_2^3 + 7469/137*c_1001_2^2 - 141/137*c_1001_2 - 1611/137, c_0101_10 + 410/137*c_1001_2^15 - 439/137*c_1001_2^14 - 2723/137*c_1001_2^13 + 3362/137*c_1001_2^12 + 7605/137*c_1001_2^11 - 10821/137*c_1001_2^10 - 12235/137*c_1001_2^9 + 20648/137*c_1001_2^8 + 11296/137*c_1001_2^7 - 25258/137*c_1001_2^6 - 4713/137*c_1001_2^5 + 18078/137*c_1001_2^4 + 501/137*c_1001_2^3 - 7776/137*c_1001_2^2 + 2/137*c_1001_2 + 1559/137, c_0101_2 + 355/137*c_1001_2^15 - 335/137*c_1001_2^14 - 2473/137*c_1001_2^13 + 2774/137*c_1001_2^12 + 7345/137*c_1001_2^11 - 9615/137*c_1001_2^10 - 12627/137*c_1001_2^9 + 19599/137*c_1001_2^8 + 12925/137*c_1001_2^7 - 25816/137*c_1001_2^6 - 6916/137*c_1001_2^5 + 20488/137*c_1001_2^4 + 1478/137*c_1001_2^3 - 9660/137*c_1001_2^2 - 436/137*c_1001_2 + 2227/137, c_0101_3 + 335/137*c_1001_2^15 - 347/137*c_1001_2^14 - 2407/137*c_1001_2^13 + 2884/137*c_1001_2^12 + 7375/137*c_1001_2^11 - 10123/137*c_1001_2^10 - 13056/137*c_1001_2^9 + 20874/137*c_1001_2^8 + 13891/137*c_1001_2^7 - 27775/137*c_1001_2^6 - 7879/137*c_1001_2^5 + 22560/137*c_1001_2^4 + 1908/137*c_1001_2^3 - 10644/137*c_1001_2^2 - 533/137*c_1001_2 + 2445/137, c_0101_6 + 218/137*c_1001_2^15 - 198/137*c_1001_2^14 - 1514/137*c_1001_2^13 + 1678/137*c_1001_2^12 + 4468/137*c_1001_2^11 - 5916/137*c_1001_2^10 - 7558/137*c_1001_2^9 + 12201/137*c_1001_2^8 + 7445/137*c_1001_2^7 - 16226/137*c_1001_2^6 - 3491/137*c_1001_2^5 + 12953/137*c_1001_2^4 + 108/137*c_1001_2^3 - 6098/137*c_1001_2^2 + 112/137*c_1001_2 + 1405/137, c_1001_2^16 - c_1001_2^15 - 7*c_1001_2^14 + 8*c_1001_2^13 + 21*c_1001_2^12 - 27*c_1001_2^11 - 37*c_1001_2^10 + 54*c_1001_2^9 + 40*c_1001_2^8 - 70*c_1001_2^7 - 25*c_1001_2^6 + 55*c_1001_2^5 + 10*c_1001_2^4 - 26*c_1001_2^3 - 4*c_1001_2^2 + 6*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.250 Total time: 8.460 seconds, Total memory usage: 64.12MB