Magma V2.19-8 Tue Aug 20 2013 23:53:17 on localhost [Seed = 3103707991] Type ? for help. Type -D to quit. Loading file "L13n5559__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5559 geometric_solution 11.45820761 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 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 0 0 0 -2 -1 3 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 0.526315391159 0.505163443224 0 5 2 6 0132 0132 2031 0132 1 1 1 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837795447975 0.814280776964 7 0 4 1 0132 0132 1302 1302 1 0 1 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 2 -2 0 -1 0 1 0 0 0 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131981318271 0.872523246690 7 8 5 0 2031 0132 0321 0132 1 1 1 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 -1 1 -3 0 3 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 0.479936371962 0.684676790364 2 9 0 10 2031 0132 0132 0132 1 1 0 0 0 -1 1 0 -1 0 0 1 -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 3 -3 0 2 0 0 -2 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.353899130630 0.944806763101 9 1 3 8 0321 0132 0321 3120 1 0 0 1 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 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511368875962 1.169450828097 9 10 1 11 2031 0321 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 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 2 1 0 -3 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703503137257 0.926179498161 2 9 3 10 0132 0321 1302 1230 1 0 0 1 0 1 -1 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 -3 3 0 1 0 0 -1 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546576564330 0.942743230151 5 3 11 11 3120 0132 1230 0321 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 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 0.729873837676 1.423663586276 5 4 6 7 0321 0132 1302 0321 1 1 0 0 0 1 0 -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 -3 0 3 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539729160730 0.793881856771 7 11 4 6 3012 1023 0132 0321 1 1 0 0 0 0 0 0 0 0 -1 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 0 2 -2 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686106021574 0.717844965271 10 8 6 8 1023 0321 0132 3012 1 1 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714841104925 0.556219875634 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0110_11'], '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' : d['c_0101_0'], 'c_1100_8' : d['c_0110_11'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0101_8']), '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' : d['c_0011_10'], '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_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_11']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_8, c_0110_11, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 50847411863413/499378376549936*c_1001_5^9 - 339456972611/6321245272784*c_1001_5^8 - 289157542884963/499378376549936*c_1001_5^7 + 1842877857357/6321245272784*c_1001_5^6 + 1326703796123031/499378376549936*c_1001_5^5 - 8612583845017/6321245272784*c_1001_5^4 + 87021999004663/31211148534371*c_1001_5^3 - 523100531909/395077829549*c_1001_5^2 + 19322984352951085/499378376549936*c_1001_5 - 150700451972963/6321245272784, c_0011_0 - 1, c_0011_10 + 1318587/929107444*c_1001_5^9 + 1145963/464553722*c_1001_5^8 - 9253853/929107444*c_1001_5^7 - 6063089/464553722*c_1001_5^6 + 38087669/929107444*c_1001_5^5 + 32022609/464553722*c_1001_5^4 + 5467366/232276861*c_1001_5^3 + 17862327/232276861*c_1001_5^2 + 414925179/929107444*c_1001_5 + 373496317/464553722, c_0011_3 + 82873/25111012*c_1001_5^9 - 21023/6277753*c_1001_5^8 - 447363/25111012*c_1001_5^7 + 134166/6277753*c_1001_5^6 + 1694875/25111012*c_1001_5^5 - 718413/6277753*c_1001_5^4 + 925447/6277753*c_1001_5^3 - 639311/6277753*c_1001_5^2 + 33437913/25111012*c_1001_5 - 5340344/6277753, c_0011_6 + 82873/25111012*c_1001_5^9 + 10665/25111012*c_1001_5^8 - 447363/25111012*c_1001_5^7 - 80903/25111012*c_1001_5^6 + 1694875/25111012*c_1001_5^5 + 1187431/25111012*c_1001_5^4 + 925447/6277753*c_1001_5^3 + 241511/6277753*c_1001_5^2 + 33437913/25111012*c_1001_5 + 1770025/25111012, c_0101_0 - 1, c_0101_1 - 4723/12555506*c_1001_5^9 + 82873/25111012*c_1001_5^8 - 4199/12555506*c_1001_5^7 - 447363/25111012*c_1001_5^6 - 4327/12555506*c_1001_5^5 + 1694875/25111012*c_1001_5^4 - 527647/6277753*c_1001_5^3 + 925447/6277753*c_1001_5^2 - 6923281/12555506*c_1001_5 + 33437913/25111012, c_0101_10 - 4723/12555506*c_1001_5^9 - 28401/12555506*c_1001_5^8 - 4199/12555506*c_1001_5^7 + 123619/12555506*c_1001_5^6 - 4327/12555506*c_1001_5^5 - 488577/12555506*c_1001_5^4 - 527647/6277753*c_1001_5^3 - 159652/6277753*c_1001_5^2 - 6923281/12555506*c_1001_5 - 12889683/12555506, c_0101_11 + 70447/12555506*c_1001_5^9 + 91271/25111012*c_1001_5^8 - 391951/12555506*c_1001_5^7 - 753585/25111012*c_1001_5^6 + 1925403/12555506*c_1001_5^5 + 3574065/25111012*c_1001_5^4 + 798963/6277753*c_1001_5^3 + 349812/6277753*c_1001_5^2 + 23570371/12555506*c_1001_5 + 26437811/25111012, c_0101_8 - 70447/12555506*c_1001_5^9 + 63981/25111012*c_1001_5^8 + 391951/12555506*c_1001_5^7 - 464159/25111012*c_1001_5^6 - 1925403/12555506*c_1001_5^5 + 1677567/25111012*c_1001_5^4 - 798963/6277753*c_1001_5^3 - 129847/6277753*c_1001_5^2 - 23570371/12555506*c_1001_5 + 5744789/25111012, c_0110_11 + 148073/25111012*c_1001_5^9 + 11839/6277753*c_1001_5^8 - 1000823/25111012*c_1001_5^7 - 63909/6277753*c_1001_5^6 + 4551219/25111012*c_1001_5^5 + 242125/6277753*c_1001_5^4 + 509464/6277753*c_1001_5^3 - 367995/6277753*c_1001_5^2 + 52217177/25111012*c_1001_5 + 2983201/6277753, c_1001_0 + 257/339338*c_1001_5^8 - 3795/339338*c_1001_5^6 + 12737/339338*c_1001_5^4 - 52728/169669*c_1001_5^2 + 278583/339338, c_1001_5^10 - 6*c_1001_5^8 + 28*c_1001_5^6 + 19*c_1001_5^4 + 369*c_1001_5^2 - 79 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB