Magma V2.19-8 Tue Sep 10 2013 19:58:00 on localhost [Seed = 225504585] Type ? for help. Type -D to quit. Loading file "11_375__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_375 geometric_solution 14.21595692 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 16 1 2 2 3 0132 0132 1302 0132 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 1 -1 0 0 -1 1 0 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283025034660 0.885699484846 0 4 5 4 0132 0132 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 -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 0.637609535103 1.174168940557 0 0 5 6 2031 0132 0321 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 -1 0 0 1 2 -1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672639463162 1.024443152829 7 4 0 8 0132 1302 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 1 0 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830868310315 1.266593761540 1 1 9 3 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239993756881 0.777595556597 10 11 2 1 0132 0132 0321 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 -0.061901911786 0.860027947923 12 13 2 14 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 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345452140766 1.319014529177 3 8 12 10 0132 1023 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 -1 1 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 0.481666033248 1.323758871475 7 9 3 14 1023 1230 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476926331763 0.291560840439 11 11 8 4 3012 0213 3012 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119282098082 1.460860912511 5 13 7 14 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371892815269 1.078726729408 15 5 9 9 0132 0132 0213 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 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 0.119282098082 1.460860912511 6 7 15 15 0132 3201 1230 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497689565844 1.884181581073 14 6 10 15 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293712011128 0.200875805627 13 10 6 8 0132 2310 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.544733071009 0.369084863740 11 13 12 12 0132 2310 2031 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.497689565844 1.884181581073 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0101_6']), 'c_1001_14' : d['c_1001_13'], 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_13']), 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : d['c_0101_6'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_1001_13']), 'c_1010_15' : negation(d['c_0101_12']), 'c_1010_14' : d['c_0101_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_1'], 'c_0101_15' : d['c_0011_9'], 'c_0101_14' : d['c_0101_12'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_15' : negation(d['c_0011_10']), 'c_0011_14' : negation(d['c_0011_12']), 'c_1100_9' : negation(d['c_1001_8']), 'c_1100_8' : d['c_0101_2'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_9'], 'c_1100_15' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : d['c_0011_12'], 'c_1100_13' : d['c_0011_10'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_13']), 'c_1010_6' : d['c_1001_13'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1100_14' : d['c_0101_9'], 's_0_14' : d['1'], 'c_1010_9' : d['c_0101_4'], 's_0_15' : d['1'], '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_0011_9'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_12']), '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_9'], 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_13' : d['c_0101_12'], 'c_0110_12' : d['c_0101_6'], 'c_0110_15' : d['c_0011_9'], 'c_0110_14' : d['c_0101_13'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_1010_0' : d['c_0110_4'], 's_0_8' : d['1'], 's_2_15' : d['1'], 'c_1010_8' : d['c_0101_9'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0101_13']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_9, c_0101_1, c_0101_12, c_0101_13, c_0101_2, c_0101_4, c_0101_6, c_0101_7, c_0101_9, c_0110_4, c_1001_13, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 965800112395/14974026606*c_1001_8^9 - 1055754264965/14974026606*c_1001_8^8 - 2795458654726/7487013303*c_1001_8^7 + 5397532915417/14974026606*c_1001_8^6 - 1740108716438/2495671101*c_1001_8^5 + 7424681003651/4991342202*c_1001_8^4 - 11957245707229/7487013303*c_1001_8^3 - 841072950853/1361275146*c_1001_8^2 + 159271197175/2139146658*c_1001_8 - 1908359221961/14974026606, c_0011_0 - 1, c_0011_10 + 18565/144909*c_1001_8^9 - 1357/144909*c_1001_8^8 + 90983/144909*c_1001_8^7 - 223003/144909*c_1001_8^6 + 122284/48303*c_1001_8^5 - 237656/48303*c_1001_8^4 + 1073801/144909*c_1001_8^3 - 626101/144909*c_1001_8^2 + 43433/144909*c_1001_8 - 203860/144909, c_0011_12 + 22378/48303*c_1001_8^9 + 22766/48303*c_1001_8^8 + 131153/48303*c_1001_8^7 - 139048/48303*c_1001_8^6 + 86512/16101*c_1001_8^5 - 204137/16101*c_1001_8^4 + 636656/48303*c_1001_8^3 - 27193/48303*c_1001_8^2 + 215138/48303*c_1001_8 - 65653/48303, c_0011_3 + 21536/144909*c_1001_8^9 + 27451/144909*c_1001_8^8 + 143020/144909*c_1001_8^7 - 79088/144909*c_1001_8^6 + 101549/48303*c_1001_8^5 - 168196/48303*c_1001_8^4 + 629074/144909*c_1001_8^3 - 69668/144909*c_1001_8^2 + 341977/144909*c_1001_8 - 56264/144909, c_0011_9 - 19922/144909*c_1001_8^9 - 20407/144909*c_1001_8^8 - 111613/144909*c_1001_8^7 + 125507/144909*c_1001_8^6 - 70571/48303*c_1001_8^5 + 159907/48303*c_1001_8^4 - 570406/144909*c_1001_8^3 - 179347/144909*c_1001_8^2 - 148165/144909*c_1001_8 + 126344/144909, c_0101_1 - 29942/144909*c_1001_8^9 - 51508/144909*c_1001_8^8 - 209269/144909*c_1001_8^7 + 46463/144909*c_1001_8^6 - 101858/48303*c_1001_8^5 + 202528/48303*c_1001_8^4 - 491401/144909*c_1001_8^3 - 288289/144909*c_1001_8^2 - 660478/144909*c_1001_8 - 51169/144909, c_0101_12 - 76186/144909*c_1001_8^9 - 98207/144909*c_1001_8^8 - 476648/144909*c_1001_8^7 + 320071/144909*c_1001_8^6 - 288019/48303*c_1001_8^5 + 564734/48303*c_1001_8^4 - 1866266/144909*c_1001_8^3 - 639629/144909*c_1001_8^2 - 753665/144909*c_1001_8 - 46841/144909, c_0101_13 + 28783/144909*c_1001_8^9 + 34379/144909*c_1001_8^8 + 181718/144909*c_1001_8^7 - 135571/144909*c_1001_8^6 + 124870/48303*c_1001_8^5 - 229220/48303*c_1001_8^4 + 922805/144909*c_1001_8^3 + 75563/144909*c_1001_8^2 + 601070/144909*c_1001_8 - 65155/144909, c_0101_2 + 2339/16101*c_1001_8^9 + 1310/5367*c_1001_8^8 + 16555/16101*c_1001_8^7 - 3535/16101*c_1001_8^6 + 27386/16101*c_1001_8^5 - 48610/16101*c_1001_8^4 + 14443/5367*c_1001_8^3 + 2359/16101*c_1001_8^2 + 45395/16101*c_1001_8 - 1346/5367, c_0101_4 + 25837/144909*c_1001_8^9 + 34211/144909*c_1001_8^8 + 161741/144909*c_1001_8^7 - 100828/144909*c_1001_8^6 + 96199/48303*c_1001_8^5 - 179933/48303*c_1001_8^4 + 565346/144909*c_1001_8^3 + 262892/144909*c_1001_8^2 + 156509/144909*c_1001_8 - 2971/144909, c_0101_6 - 19922/144909*c_1001_8^9 - 20407/144909*c_1001_8^8 - 111613/144909*c_1001_8^7 + 125507/144909*c_1001_8^6 - 70571/48303*c_1001_8^5 + 159907/48303*c_1001_8^4 - 570406/144909*c_1001_8^3 - 179347/144909*c_1001_8^2 - 148165/144909*c_1001_8 - 18565/144909, c_0101_7 + 8891/144909*c_1001_8^9 + 16138/144909*c_1001_8^8 + 60274/144909*c_1001_8^7 - 14648/144909*c_1001_8^6 + 19700/48303*c_1001_8^5 - 56698/48303*c_1001_8^4 + 101440/144909*c_1001_8^3 + 267058/144909*c_1001_8^2 + 251923/144909*c_1001_8 + 87511/144909, c_0101_9 - 5435/144909*c_1001_8^9 + 4751/144909*c_1001_8^8 - 14212/144909*c_1001_8^7 + 111290/144909*c_1001_8^6 - 21044/48303*c_1001_8^5 + 103792/48303*c_1001_8^4 - 307054/144909*c_1001_8^3 + 198476/144909*c_1001_8^2 - 19957/144909*c_1001_8 + 40163/144909, c_0110_4 - 5920/144909*c_1001_8^9 + 12670/144909*c_1001_8^8 - 8237/144909*c_1001_8^7 + 158563/144909*c_1001_8^6 - 40435/48303*c_1001_8^5 + 126158/48303*c_1001_8^4 - 546167/144909*c_1001_8^3 + 289375/144909*c_1001_8^2 + 46621/144909*c_1001_8 + 60085/144909, c_1001_13 - 16339/48303*c_1001_8^9 - 23624/48303*c_1001_8^8 - 108779/48303*c_1001_8^7 + 46027/48303*c_1001_8^6 - 64709/16101*c_1001_8^5 + 114601/16101*c_1001_8^4 - 334043/48303*c_1001_8^3 - 105017/48303*c_1001_8^2 - 115469/48303*c_1001_8 - 12389/48303, c_1001_8^10 + c_1001_8^9 + 6*c_1001_8^8 - 6*c_1001_8^7 + 13*c_1001_8^6 - 27*c_1001_8^5 + 32*c_1001_8^4 - 3*c_1001_8^3 + 12*c_1001_8^2 - 3*c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 505.680 Total time: 505.889 seconds, Total memory usage: 1787.00MB