Magma V2.19-8 Tue Aug 20 2013 23:40:03 on localhost [Seed = 324368316] Type ? for help. Type -D to quit. Loading file "K12n143__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n143 geometric_solution 10.95517145 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 0 -7 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599653614822 1.040646400264 0 5 7 6 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 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 -0.149650856108 0.841952784708 6 0 7 4 1023 0132 3012 2103 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 -1 0 1 0 0 0 0 0 -1 0 1 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058222761138 0.541152793773 8 9 9 0 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182486750647 1.043309981009 10 11 0 2 0132 0132 0132 2103 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 1 -1 0 0 0 0 0 1 0 -1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564714895980 0.350177031291 6 1 8 8 0132 0132 0213 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 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 0.724996554176 0.895774148932 5 2 1 9 0132 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.940292545618 1.235091634138 11 2 10 1 3120 1230 1023 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342288800549 0.426212618982 3 5 5 10 0132 0213 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.313202135410 1.020199494049 6 3 3 11 3012 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.072670957923 1.038153021382 4 8 7 11 0132 1302 1023 3120 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 -7 -1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658712186418 0.560314069600 10 4 9 7 3120 0132 0132 3120 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 -8 0 0 8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746670201847 0.863732954663 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_0']), 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_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_1100_9' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_1001_0']), 'c_1010_8' : d['c_0011_10'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_3']), '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_0101_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), '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_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_9'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 155502848/1006733*c_1001_0^7 - 662445696/1006733*c_1001_0^6 - 1252070784/1006733*c_1001_0^5 - 53021056/43771*c_1001_0^4 - 625019008/1006733*c_1001_0^3 - 394953696/1006733*c_1001_0^2 - 416413056/1006733*c_1001_0 - 93507168/1006733, c_0011_0 - 1, c_0011_10 - 328/161*c_1001_0^7 - 1254/161*c_1001_0^6 - 2088/161*c_1001_0^5 - 69/7*c_1001_0^4 - 452/161*c_1001_0^3 - 999/322*c_1001_0^2 - 659/161*c_1001_0 + 97/644, c_0011_3 + 20/161*c_1001_0^7 - 6/161*c_1001_0^6 - 124/161*c_1001_0^5 - 15/7*c_1001_0^4 - 479/161*c_1001_0^3 - 1017/322*c_1001_0^2 - 272/161*c_1001_0 - 55/644, c_0011_7 + 228/161*c_1001_0^7 + 962/161*c_1001_0^6 + 1742/161*c_1001_0^5 + 67/7*c_1001_0^4 + 593/161*c_1001_0^3 + 771/322*c_1001_0^2 + 979/322*c_1001_0 + 339/644, c_0101_0 + 404/161*c_1001_0^7 + 1682/161*c_1001_0^6 + 3098/161*c_1001_0^5 + 131/7*c_1001_0^4 + 1723/161*c_1001_0^3 + 2705/322*c_1001_0^2 + 2181/322*c_1001_0 + 177/644, c_0101_1 + 400/161*c_1001_0^7 + 1490/161*c_1001_0^6 + 2350/161*c_1001_0^5 + 71/7*c_1001_0^4 + 402/161*c_1001_0^3 + 1395/322*c_1001_0^2 + 1839/322*c_1001_0 - 617/644, c_0101_10 + 64/161*c_1001_0^7 + 174/161*c_1001_0^6 + 54/161*c_1001_0^5 - 13/7*c_1001_0^4 - 438/161*c_1001_0^3 - 131/322*c_1001_0^2 + 159/322*c_1001_0 - 337/644, c_0101_11 + 220/161*c_1001_0^7 + 900/161*c_1001_0^6 + 1534/161*c_1001_0^5 + 52/7*c_1001_0^4 + 205/161*c_1001_0^3 + 122/161*c_1001_0^2 + 939/322*c_1001_0 + 261/322, c_0101_2 - 96/161*c_1001_0^7 - 422/161*c_1001_0^6 - 886/161*c_1001_0^5 - 47/7*c_1001_0^4 - 792/161*c_1001_0^3 - 1011/322*c_1001_0^2 - 641/322*c_1001_0 - 541/644, c_0101_3 + 100/161*c_1001_0^7 + 292/161*c_1001_0^6 + 346/161*c_1001_0^5 + 2/7*c_1001_0^4 - 141/161*c_1001_0^3 + 114/161*c_1001_0^2 + 339/322*c_1001_0 - 109/161, c_0101_9 - 300/161*c_1001_0^7 - 1198/161*c_1001_0^6 - 2004/161*c_1001_0^5 - 69/7*c_1001_0^4 - 543/161*c_1001_0^3 - 1167/322*c_1001_0^2 - 750/161*c_1001_0 + 181/644, c_1001_0^8 + 4*c_1001_0^7 + 7*c_1001_0^6 + 6*c_1001_0^5 + 5/2*c_1001_0^4 + 2*c_1001_0^3 + 9/4*c_1001_0^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.890 Total time: 1.100 seconds, Total memory usage: 32.09MB