Magma V2.19-8 Tue Aug 20 2013 16:17:44 on localhost [Seed = 1747580040] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1973 geometric_solution 5.54889226 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 -1 0 1 -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 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 0.325847479951 0.774537266889 0 3 2 4 0132 0132 1302 0132 0 0 0 0 0 0 0 0 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 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 0.462149980151 0.614629149671 1 4 0 3 2031 2310 0132 2310 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 1 -1 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 0.462149980151 0.614629149671 2 1 5 5 3201 0132 0132 2310 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 -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 1.105546012857 1.618278069791 6 6 1 2 0132 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.038731043766 0.922271644855 3 5 5 3 3201 3201 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 0 -1 1 0 -1 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 -0.631689670802 0.333479199455 4 6 6 4 0132 3201 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 -0.720371415858 0.751258550211 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0011_2']), '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_4']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 106056979372229/2886474558465*c_0101_5^20 - 237299859866446/962158186155*c_0101_5^19 + 32632628542774/962158186155*c_0101_5^18 + 2758218044319613/962158186155*c_0101_5^17 + 1959045006351637/577294911693*c_0101_5^16 - 24074070883109881/2886474558465*c_0101_5^15 - 47103454197879961/2886474558465*c_0101_5^14 + 808444378617152/962158186155*c_0101_5^13 + 77695294288850978/2886474558465*c_0101_5^12 + 14999240509339214/577294911693*c_0101_5^11 - 1900298149874909/320719395385*c_0101_5^10 - 6295340970447467/192431637231*c_0101_5^9 - 73963487484871592/2886474558465*c_0101_5^8 + 2501343165088877/577294911693*c_0101_5^7 + 57754759003605722/2886474558465*c_0101_5^6 + 35273717988842381/2886474558465*c_0101_5^5 - 1461805112732867/2886474558465*c_0101_5^4 - 2410397416703963/577294911693*c_0101_5^3 - 6244029436669484/2886474558465*c_0101_5^2 - 1192871131468732/2886474558465*c_0101_5 - 19713418820959/2886474558465, c_0011_0 - 1, c_0011_2 + 1153792504314/64143879077*c_0101_5^20 + 8982749535211/64143879077*c_0101_5^19 + 8744706156723/64143879077*c_0101_5^18 - 79126869700010/64143879077*c_0101_5^17 - 188650810075154/64143879077*c_0101_5^16 + 50153992070118/64143879077*c_0101_5^15 + 527036157447836/64143879077*c_0101_5^14 + 508083819199761/64143879077*c_0101_5^13 - 234936486722383/64143879077*c_0101_5^12 - 904924674940309/64143879077*c_0101_5^11 - 687360799181027/64143879077*c_0101_5^10 + 176012033719160/64143879077*c_0101_5^9 + 741000567507081/64143879077*c_0101_5^8 + 492318046607530/64143879077*c_0101_5^7 - 49925830767534/64143879077*c_0101_5^6 - 262811026147265/64143879077*c_0101_5^5 - 138788725483052/64143879077*c_0101_5^4 - 2826387685330/64143879077*c_0101_5^3 + 27375796929059/64143879077*c_0101_5^2 + 11654991696499/64143879077*c_0101_5 + 1824371615125/64143879077, c_0011_4 + 567654540069/64143879077*c_0101_5^20 + 4475910440338/64143879077*c_0101_5^19 + 4725342978238/64143879077*c_0101_5^18 - 38591602854409/64143879077*c_0101_5^17 - 96531034842968/64143879077*c_0101_5^16 + 16683767453600/64143879077*c_0101_5^15 + 261643412930698/64143879077*c_0101_5^14 + 270526511771342/64143879077*c_0101_5^13 - 93223650596726/64143879077*c_0101_5^12 - 449371297236242/64143879077*c_0101_5^11 - 372000865648600/64143879077*c_0101_5^10 + 53778339952835/64143879077*c_0101_5^9 + 361550362277214/64143879077*c_0101_5^8 + 266097859283229/64143879077*c_0101_5^7 - 1940587501947/64143879077*c_0101_5^6 - 122665777208023/64143879077*c_0101_5^5 - 73837076789998/64143879077*c_0101_5^4 - 6793165471384/64143879077*c_0101_5^3 + 11470236470441/64143879077*c_0101_5^2 + 5538384381217/64143879077*c_0101_5 + 900418354679/64143879077, c_0011_5 + 29232267892/64143879077*c_0101_5^20 + 147915229701/64143879077*c_0101_5^19 - 315858801796/64143879077*c_0101_5^18 - 2001116046239/64143879077*c_0101_5^17 + 1018735682477/64143879077*c_0101_5^16 + 8341500092810/64143879077*c_0101_5^15 - 967864042536/64143879077*c_0101_5^14 - 13708938761182/64143879077*c_0101_5^13 - 5945509426803/64143879077*c_0101_5^12 + 10931223541192/64143879077*c_0101_5^11 + 14173754596609/64143879077*c_0101_5^10 + 213157871591/64143879077*c_0101_5^9 - 12243553208507/64143879077*c_0101_5^8 - 9868479720882/64143879077*c_0101_5^7 + 4980358366108/64143879077*c_0101_5^6 + 7265961664162/64143879077*c_0101_5^5 + 583487111171/64143879077*c_0101_5^4 - 2412725600180/64143879077*c_0101_5^3 - 623217064332/64143879077*c_0101_5^2 + 282762110199/64143879077*c_0101_5 + 132539180210/64143879077, c_0101_0 - 401962251537/64143879077*c_0101_5^20 - 2515384177141/64143879077*c_0101_5^19 + 1890549050624/64143879077*c_0101_5^18 + 33531856884174/64143879077*c_0101_5^17 + 25644690475296/64143879077*c_0101_5^16 - 126974702208837/64143879077*c_0101_5^15 - 188007999101653/64143879077*c_0101_5^14 + 87202281203690/64143879077*c_0101_5^13 + 409046553775480/64143879077*c_0101_5^12 + 304536671922337/64143879077*c_0101_5^11 - 186212165010652/64143879077*c_0101_5^10 - 517312302476196/64143879077*c_0101_5^9 - 337855847010850/64143879077*c_0101_5^8 + 119108849132641/64143879077*c_0101_5^7 + 322084848807464/64143879077*c_0101_5^6 + 181987642721213/64143879077*c_0101_5^5 - 10575295968526/64143879077*c_0101_5^4 - 65150795928968/64143879077*c_0101_5^3 - 36629886286944/64143879077*c_0101_5^2 - 9476214540988/64143879077*c_0101_5 - 1095789168677/64143879077, c_0101_3 + 543757822129/64143879077*c_0101_5^20 + 3998657539243/64143879077*c_0101_5^19 + 2270738716660/64143879077*c_0101_5^18 - 39258407792192/64143879077*c_0101_5^17 - 73121773368585/64143879077*c_0101_5^16 + 63043089828663/64143879077*c_0101_5^15 + 242277316292159/64143879077*c_0101_5^14 + 137230904938353/64143879077*c_0101_5^13 - 216527545646340/64143879077*c_0101_5^12 - 398635482888588/64143879077*c_0101_5^11 - 162961422029801/64143879077*c_0101_5^10 + 225774532121481/64143879077*c_0101_5^9 + 347186771146408/64143879077*c_0101_5^8 + 116992944900105/64143879077*c_0101_5^7 - 117553261817296/64143879077*c_0101_5^6 - 136379116529514/64143879077*c_0101_5^5 - 37950208673075/64143879077*c_0101_5^4 + 19135277057262/64143879077*c_0101_5^3 + 18487028250421/64143879077*c_0101_5^2 + 5752937313875/64143879077*c_0101_5 + 695651277904/64143879077, c_0101_5^21 + 8*c_0101_5^20 + 9*c_0101_5^19 - 69*c_0101_5^18 - 181*c_0101_5^17 + 24*c_0101_5^16 + 513*c_0101_5^15 + 550*c_0101_5^14 - 211*c_0101_5^13 - 982*c_0101_5^12 - 796*c_0101_5^11 + 189*c_0101_5^10 + 898*c_0101_5^9 + 648*c_0101_5^8 - 53*c_0101_5^7 - 387*c_0101_5^6 - 241*c_0101_5^5 - 17*c_0101_5^4 + 56*c_0101_5^3 + 34*c_0101_5^2 + 9*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB