Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 1208603803] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1366 geometric_solution 5.22761377 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.684539057207 0.147021190854 0 3 0 3 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603576994567 0.299915353307 4 0 4 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.603576994567 0.299915353307 5 1 6 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 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 1.326990473129 1.528368790950 2 5 2 6 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.326990473129 1.528368790950 3 5 5 4 0132 3201 2310 3201 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 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129223735278 0.866473089525 6 4 6 3 2031 2310 1302 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 0.277030742978 0.899368440269 ==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' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], '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_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_4']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 30558420133437673184497025/165704698145768783104422*c_0101_4^16 - 41578268582983202193575885/165704698145768783104422*c_0101_4^15 + 172133187230518524715695139/165704698145768783104422*c_0101_4^14 + 161132032907911808463923831/165704698145768783104422*c_0101_4^13 - 447097940910545318944695259/165704698145768783104422*c_0101_4^12 - 58953301849504676119171343/55234899381922927701474*c_0101_4^11 + 927469398264262411039076207/165704698145768783104422*c_0101_4^10 + 10273830824453509693964783/55234899381922927701474*c_0101_4^9 - 1401310795435580853558661015/165704698145768783104422*c_0101_4^8 - 117854975189719739949130961/82852349072884391552211*c_0101_4^7 + 17272849231991780198135938/2510677244632860350067*c_0101_4^6 + 403948891768254945025995629/165704698145768783104422*c_0101_4^5 - 206961462932061533678576039/165704698145768783104422*c_0101_4^4 - 32181154046912140815344891/27617449690961463850737*c_0101_4^3 - 4811501526411990167012144/9205816563653821283579*c_0101_4^2 - 3204879538135346532646640/27617449690961463850737*c_0101_4 + 1597214818478839449267992/82852349072884391552211, c_0011_0 - 1, c_0011_6 + 39742612902837821872750/7532031733898581050201*c_0101_4^16 + 70910193692554799244925/7532031733898581050201*c_0101_4^15 - 194809410928579435695485/7532031733898581050201*c_0101_4^14 - 291092489556220737126997/7532031733898581050201*c_0101_4^13 + 471599764472730855840689/7532031733898581050201*c_0101_4^12 + 143489757413687735702566/2510677244632860350067*c_0101_4^11 - 1071051117510521308369840/7532031733898581050201*c_0101_4^10 - 165396494175132014575798/2510677244632860350067*c_0101_4^9 + 1700652511427354465969690/7532031733898581050201*c_0101_4^8 + 992161173281992175887508/7532031733898581050201*c_0101_4^7 - 405214473566637603743675/2510677244632860350067*c_0101_4^6 - 979402180662137819194750/7532031733898581050201*c_0101_4^5 + 57384794781428217390178/7532031733898581050201*c_0101_4^4 + 97768329121458780119411/2510677244632860350067*c_0101_4^3 + 14937992601542230671932/836892414877620116689*c_0101_4^2 + 13307864923686924129977/2510677244632860350067*c_0101_4 - 116926300580024931719/7532031733898581050201, c_0101_0 + c_0101_4, c_0101_1 + 63404295476942739290125/7532031733898581050201*c_0101_4^16 + 77745378722272666412575/7532031733898581050201*c_0101_4^15 - 367345733000489233229735/7532031733898581050201*c_0101_4^14 - 284159190435050902496839/7532031733898581050201*c_0101_4^13 + 963584325293780539645913/7532031733898581050201*c_0101_4^12 + 76977382571202824851975/2510677244632860350067*c_0101_4^11 - 1950078180804471374442388/7532031733898581050201*c_0101_4^10 + 70725856203317759442431/2510677244632860350067*c_0101_4^9 + 2868011751300079357436813/7532031733898581050201*c_0101_4^8 + 85527869616471875213306/7532031733898581050201*c_0101_4^7 - 782842117362296432329460/2510677244632860350067*c_0101_4^6 - 484947198905315894268958/7532031733898581050201*c_0101_4^5 + 476567559699437219608294/7532031733898581050201*c_0101_4^4 + 97308779129120796712970/2510677244632860350067*c_0101_4^3 + 14186765832316732482248/836892414877620116689*c_0101_4^2 + 9177294916633191715385/2510677244632860350067*c_0101_4 - 2603745142776139140815/7532031733898581050201, c_0101_2 - 66909863579630314555850/7532031733898581050201*c_0101_4^16 - 87424457105185024367840/7532031733898581050201*c_0101_4^15 + 376622949357889205992741/7532031733898581050201*c_0101_4^14 + 320766523832838781324811/7532031733898581050201*c_0101_4^13 - 979428477357798610274053/7532031733898581050201*c_0101_4^12 - 97177747834861600368422/2510677244632860350067*c_0101_4^11 + 2013726299175847693516457/7532031733898581050201*c_0101_4^10 - 33908440644165434103451/2510677244632860350067*c_0101_4^9 - 2966336207754190825294387/7532031733898581050201*c_0101_4^8 - 260263124430770809600945/7532031733898581050201*c_0101_4^7 + 790590231182319126743605/2510677244632860350067*c_0101_4^6 + 590224942685515336232084/7532031733898581050201*c_0101_4^5 - 460570319737210082893790/7532031733898581050201*c_0101_4^4 - 103183158001537843224661/2510677244632860350067*c_0101_4^3 - 13349408196892099712176/836892414877620116689*c_0101_4^2 - 8970627356906458134229/2510677244632860350067*c_0101_4 + 3492943126297718653498/7532031733898581050201, c_0101_3 - 522638813418977419150/7532031733898581050201*c_0101_4^16 + 8257036521207294051215/7532031733898581050201*c_0101_4^15 + 25465150769405859118484/7532031733898581050201*c_0101_4^14 - 23729172252550619713076/7532031733898581050201*c_0101_4^13 - 90292874688539352157097/7532031733898581050201*c_0101_4^12 + 13427667741648432657533/2510677244632860350067*c_0101_4^11 + 137097947624355778165315/7532031733898581050201*c_0101_4^10 - 50543424154903546681982/2510677244632860350067*c_0101_4^9 - 237835910124269322243596/7532031733898581050201*c_0101_4^8 + 220278053958333633569329/7532031733898581050201*c_0101_4^7 + 128428370629496355866813/2510677244632860350067*c_0101_4^6 - 2932318913599730009843/7532031733898581050201*c_0101_4^5 - 178207970349601695085963/7532031733898581050201*c_0101_4^4 - 29527654881111001093364/2510677244632860350067*c_0101_4^3 - 3732259259776852576586/836892414877620116689*c_0101_4^2 - 9108045906403457165078/2510677244632860350067*c_0101_4 - 794643725712505287352/7532031733898581050201, c_0101_4^17 + 7/5*c_0101_4^16 - 139/25*c_0101_4^15 - 138/25*c_0101_4^14 + 71/5*c_0101_4^13 + 161/25*c_0101_4^12 - 736/25*c_0101_4^11 - 61/25*c_0101_4^10 + 1118/25*c_0101_4^9 + 262/25*c_0101_4^8 - 883/25*c_0101_4^7 - 397/25*c_0101_4^6 + 102/25*c_0101_4^5 + 163/25*c_0101_4^4 + 96/25*c_0101_4^3 + 33/25*c_0101_4^2 + 4/25*c_0101_4 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB