Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 3768679619] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s273 geometric_solution 4.44077602 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716751344444 1.101175553589 3 0 2 2 0132 0132 2103 3201 0 0 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 -1 0 1 0 0 0 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 0.716751344444 1.101175553589 1 1 3 0 2103 2310 1023 0132 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716751344444 1.101175553589 1 4 2 4 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799269930134 0.459343321448 3 3 5 5 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413576270594 0.192699891701 5 4 4 5 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.445397213231 0.320205081954 ==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' : 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_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_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_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0011_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 20299349989509/19943536896937*c_0101_5^17 + 107923327126837/19943536896937*c_0101_5^16 - 99850828108581/19943536896937*c_0101_5^15 - 653072831101984/19943536896937*c_0101_5^14 + 2079141786342928/19943536896937*c_0101_5^13 - 1085184026161160/19943536896937*c_0101_5^12 - 5035626374262957/19943536896937*c_0101_5^11 + 9976348351661862/19943536896937*c_0101_5^10 - 2459832565045877/19943536896937*c_0101_5^9 - 12779340067749567/19943536896937*c_0101_5^8 + 15082365950279041/19943536896937*c_0101_5^7 - 477477928560423/19943536896937*c_0101_5^6 - 11156882205024532/19943536896937*c_0101_5^5 + 7811280197371579/19943536896937*c_0101_5^4 + 507664564838280/19943536896937*c_0101_5^3 - 3719147993555193/19943536896937*c_0101_5^2 + 715064369190232/19943536896937*c_0101_5 + 444929763195601/19943536896937, c_0011_0 - 1, c_0011_2 + 28047272760215/19943536896937*c_0101_5^17 - 115739825683969/19943536896937*c_0101_5^16 - 10927658600992/19943536896937*c_0101_5^15 + 918202682960164/19943536896937*c_0101_5^14 - 1722176070461668/19943536896937*c_0101_5^13 - 849849604404378/19943536896937*c_0101_5^12 + 6114978961937407/19943536896937*c_0101_5^11 - 5628930671809439/19943536896937*c_0101_5^10 - 4537347418199411/19943536896937*c_0101_5^9 + 11657836439534626/19943536896937*c_0101_5^8 - 4520970380094672/19943536896937*c_0101_5^7 - 5287506925732649/19943536896937*c_0101_5^6 + 6948313148397054/19943536896937*c_0101_5^5 - 1472021561201792/19943536896937*c_0101_5^4 - 2420919439827155/19943536896937*c_0101_5^3 + 925629577868498/19943536896937*c_0101_5^2 + 182864033670448/19943536896937*c_0101_5 - 68354566590523/19943536896937, c_0011_5 + 1422511544129/19943536896937*c_0101_5^17 - 4763499029580/19943536896937*c_0101_5^16 - 3918354909611/19943536896937*c_0101_5^15 + 41745599578088/19943536896937*c_0101_5^14 - 53226604396273/19943536896937*c_0101_5^13 - 74514935593455/19943536896937*c_0101_5^12 + 219959790662823/19943536896937*c_0101_5^11 - 93004626508490/19943536896937*c_0101_5^10 - 240731084786827/19943536896937*c_0101_5^9 + 258782986987137/19943536896937*c_0101_5^8 + 59457250090552/19943536896937*c_0101_5^7 - 120598416867983/19943536896937*c_0101_5^6 + 44675716429108/19943536896937*c_0101_5^5 + 97566966506169/19943536896937*c_0101_5^4 - 16021739509987/19943536896937*c_0101_5^3 - 69836228070392/19943536896937*c_0101_5^2 + 1043726852944/19943536896937*c_0101_5 - 5893237203793/19943536896937, c_0101_1 - 894599805345/19943536896937*c_0101_5^17 + 5007765442498/19943536896937*c_0101_5^16 - 4551030538538/19943536896937*c_0101_5^15 - 30913857474449/19943536896937*c_0101_5^14 + 93320113767659/19943536896937*c_0101_5^13 - 36060196342458/19943536896937*c_0101_5^12 - 234779907915819/19943536896937*c_0101_5^11 + 384723353268953/19943536896937*c_0101_5^10 - 18304977910691/19943536896937*c_0101_5^9 - 498900427239625/19943536896937*c_0101_5^8 + 396989924554515/19943536896937*c_0101_5^7 + 110932042358939/19943536896937*c_0101_5^6 - 268064993725771/19943536896937*c_0101_5^5 + 109772747742057/19943536896937*c_0101_5^4 + 114911180390659/19943536896937*c_0101_5^3 - 43777910747173/19943536896937*c_0101_5^2 - 61860423210588/19943536896937*c_0101_5 + 3346120963266/19943536896937, c_0101_3 - 14050299693144/19943536896937*c_0101_5^17 + 54778687228447/19943536896937*c_0101_5^16 + 18813798722724/19943536896937*c_0101_5^15 - 459741534964141/19943536896937*c_0101_5^14 + 759121482931120/19943536896937*c_0101_5^13 + 629288891815177/19943536896937*c_0101_5^12 - 2988450397511937/19943536896937*c_0101_5^11 + 2126440258092225/19943536896937*c_0101_5^10 + 2987366363296154/19943536896937*c_0101_5^9 - 5421539691550205/19943536896937*c_0101_5^8 + 907391887543815/19943536896937*c_0101_5^7 + 3340715275650296/19943536896937*c_0101_5^6 - 2998568115009985/19943536896937*c_0101_5^5 - 86826615508540/19943536896937*c_0101_5^4 + 1447965999739671/19943536896937*c_0101_5^3 - 264984254352893/19943536896937*c_0101_5^2 - 177175929202407/19943536896937*c_0101_5 + 27056872533344/19943536896937, c_0101_5^18 - 4*c_0101_5^17 - c_0101_5^16 + 33*c_0101_5^15 - 57*c_0101_5^14 - 41*c_0101_5^13 + 218*c_0101_5^12 - 167*c_0101_5^11 - 206*c_0101_5^10 + 403*c_0101_5^9 - 83*c_0101_5^8 - 242*c_0101_5^7 + 222*c_0101_5^6 + 3*c_0101_5^5 - 110*c_0101_5^4 + 20*c_0101_5^3 + 19*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB