Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 54697941] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1114 geometric_solution 4.97743457 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 0 -1 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 0.133110606694 0.842370082426 0 3 2 4 0132 0132 1230 0132 0 0 0 0 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 0 1 -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 0.878830780540 1.303285313717 3 0 4 1 0132 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 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 0.878830780540 1.303285313717 2 1 5 5 0132 0132 0132 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462326784640 0.107036627935 4 2 1 4 3012 3201 0132 1230 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 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078194267194 0.684427591540 3 6 6 3 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006432302282 0.989463472629 5 5 6 6 2310 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.102935007943 0.458143957765 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_0_6' : 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_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 664477720682662832607/1056142413706345792*c_0101_6^11 - 11088997398199181625255/2112284827412691584*c_0101_6^10 - 14341771172446399854523/2112284827412691584*c_0101_6^9 + 8326112672761909802993/1056142413706345792*c_0101_6^8 + 3824982550735049182147/264035603426586448*c_0101_6^7 - 5346524220741878260395/2112284827412691584*c_0101_6^6 - 5501186633093514147153/528071206853172896*c_0101_6^5 + 4544181107894939902221/2112284827412691584*c_0101_6^4 + 3545534246859598378451/2112284827412691584*c_0101_6^3 - 2300831686624719553491/2112284827412691584*c_0101_6^2 + 253382067545095676825/1056142413706345792*c_0101_6 - 115444766501098600761/1056142413706345792, c_0011_0 - 1, c_0011_4 + 11992562384237487/741673043333108*c_0101_6^11 + 54901033100262729/370836521666554*c_0101_6^10 + 109243443665428413/370836521666554*c_0101_6^9 + 6847879778985464/185418260833277*c_0101_6^8 - 247324460650966403/741673043333108*c_0101_6^7 - 139161994214679459/741673043333108*c_0101_6^6 + 21392064480634860/185418260833277*c_0101_6^5 + 12097778034921019/741673043333108*c_0101_6^4 - 14978434810327961/370836521666554*c_0101_6^3 + 1504022049773911/370836521666554*c_0101_6^2 - 345689821727798/185418260833277*c_0101_6 + 31529220893906/185418260833277, c_0011_5 - 16378344503805681/1483346086666216*c_0101_6^11 - 152000321948008029/1483346086666216*c_0101_6^10 - 159017409668690187/741673043333108*c_0101_6^9 - 41070164281626153/741673043333108*c_0101_6^8 + 325971666798852305/1483346086666216*c_0101_6^7 + 62294341241955977/370836521666554*c_0101_6^6 - 70896045254360555/1483346086666216*c_0101_6^5 - 38090218939825247/1483346086666216*c_0101_6^4 + 20987006647365711/1483346086666216*c_0101_6^3 + 1409874430322631/741673043333108*c_0101_6^2 + 1393187366272509/741673043333108*c_0101_6 - 131424309723719/370836521666554, c_0101_0 - 1641538405627152201/66008900856646612*c_0101_6^11 - 7429438019198788659/33004450428323306*c_0101_6^10 - 7084903760693479460/16502225214161653*c_0101_6^9 - 273743593110867931/33004450428323306*c_0101_6^8 + 34854607205571073855/66008900856646612*c_0101_6^7 + 16544304679710509175/66008900856646612*c_0101_6^6 - 3420102934248112769/16502225214161653*c_0101_6^5 - 1525695589907330795/66008900856646612*c_0101_6^4 + 908005655913976193/16502225214161653*c_0101_6^3 - 304719102836150523/33004450428323306*c_0101_6^2 + 54540766109671709/16502225214161653*c_0101_6 - 4711054148878798/16502225214161653, c_0101_1 + 2168467571423349369/66008900856646612*c_0101_6^11 + 19176330239934543189/66008900856646612*c_0101_6^10 + 8355586193043510669/16502225214161653*c_0101_6^9 - 1591928134977811228/16502225214161653*c_0101_6^8 - 44825517675413241631/66008900856646612*c_0101_6^7 - 6106522385668954101/33004450428323306*c_0101_6^6 + 21021837929534215339/66008900856646612*c_0101_6^5 - 2496720988409038239/66008900856646612*c_0101_6^4 - 4685095561480795121/66008900856646612*c_0101_6^3 + 889140853820604063/33004450428323306*c_0101_6^2 - 311937406582845247/33004450428323306*c_0101_6 + 53760356106915611/16502225214161653, c_0101_2 - 22410940682777571/1483346086666216*c_0101_6^11 - 199710236979940797/1483346086666216*c_0101_6^10 - 179590123979086903/741673043333108*c_0101_6^9 + 19782832736484613/741673043333108*c_0101_6^8 + 460977744296700759/1483346086666216*c_0101_6^7 + 76572836426778167/741673043333108*c_0101_6^6 - 203868684302505159/1483346086666216*c_0101_6^5 + 19575862694326379/1483346086666216*c_0101_6^4 + 51526958844840515/1483346086666216*c_0101_6^3 - 9116355228457739/741673043333108*c_0101_6^2 + 2385295658696717/741673043333108*c_0101_6 - 174748277001831/370836521666554, c_0101_6^12 + 8*c_0101_6^11 + 637/81*c_0101_6^10 - 452/27*c_0101_6^9 - 529/27*c_0101_6^8 + 977/81*c_0101_6^7 + 1319/81*c_0101_6^6 - 712/81*c_0101_6^5 - 2*c_0101_6^4 + 221/81*c_0101_6^3 - 68/81*c_0101_6^2 + 22/81*c_0101_6 - 4/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB