Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 2648441214] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0596 geometric_solution 4.60911160 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -1 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 -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 0.531609327121 0.423101550753 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 0 0 1 -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 -1 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 1.316782395762 0.493449801999 1 3 3 4 0132 1230 3012 0132 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 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 1.127761644766 0.648176492325 4 2 2 1 3201 1230 3012 0132 0 0 0 0 0 -1 0 1 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 -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 1.127761644766 0.648176492325 5 5 2 3 0132 2310 0132 2310 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 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 0.458782741089 0.897448273756 4 6 6 4 0132 0132 3201 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 -0.510493946991 0.354338037200 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 2.552205872121 0.295577735511 ==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_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_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2921981992009563132/13105299742332697*c_0101_6^13 - 90297659599524667060/39315899226998091*c_0101_6^12 - 27450175718486757599/39315899226998091*c_0101_6^11 + 384917334712393376460/13105299742332697*c_0101_6^10 - 1284146530098955129690/39315899226998091*c_0101_6^9 - 736327107282499795954/39315899226998091*c_0101_6^8 - 967512717415056130468/39315899226998091*c_0101_6^7 + 2917663032935931344581/39315899226998091*c_0101_6^6 + 803948174450183361689/13105299742332697*c_0101_6^5 - 1140567671878124588973/13105299742332697*c_0101_6^4 - 449441740667956442758/13105299742332697*c_0101_6^3 + 1008851279011167120560/39315899226998091*c_0101_6^2 + 75619083904965705150/13105299742332697*c_0101_6 - 60587703170656611514/39315899226998091, c_0011_0 - 1, c_0011_1 + 1860086645229702/13105299742332697*c_0101_6^13 + 18745449041309824/13105299742332697*c_0101_6^12 + 1973282830309664/13105299742332697*c_0101_6^11 - 241821678220393141/13105299742332697*c_0101_6^10 + 330019965801874932/13105299742332697*c_0101_6^9 + 42075665080219719/13105299742332697*c_0101_6^8 + 218987564332855459/13105299742332697*c_0101_6^7 - 636168390041636703/13105299742332697*c_0101_6^6 - 305425390353014022/13105299742332697*c_0101_6^5 + 737365496283673242/13105299742332697*c_0101_6^4 + 4577768130934071/13105299742332697*c_0101_6^3 - 170934460371390879/13105299742332697*c_0101_6^2 + 30683718259980786/13105299742332697*c_0101_6 + 6138537564747657/13105299742332697, c_0011_4 + 1119353435293293/13105299742332697*c_0101_6^13 + 11166324752111860/13105299742332697*c_0101_6^12 + 163695614142020/13105299742332697*c_0101_6^11 - 144585545776900463/13105299742332697*c_0101_6^10 + 211126509292249346/13105299742332697*c_0101_6^9 - 14003232971750486/13105299742332697*c_0101_6^8 + 176784077605407820/13105299742332697*c_0101_6^7 - 414043749376799490/13105299742332697*c_0101_6^6 - 131558709528226786/13105299742332697*c_0101_6^5 + 371810403033834543/13105299742332697*c_0101_6^4 - 25337831281927822/13105299742332697*c_0101_6^3 - 23597081868457670/13105299742332697*c_0101_6^2 + 17019560801421342/13105299742332697*c_0101_6 - 8481784972853719/13105299742332697, c_0101_0 - 3536134369230166/13105299742332697*c_0101_6^13 - 35386410036025916/13105299742332697*c_0101_6^12 - 1045495553525831/13105299742332697*c_0101_6^11 + 462245538199686662/13105299742332697*c_0101_6^10 - 655836864082043748/13105299742332697*c_0101_6^9 - 57944747939765580/13105299742332697*c_0101_6^8 - 421659757613371926/13105299742332697*c_0101_6^7 + 1290065197850617240/13105299742332697*c_0101_6^6 + 528446847252318549/13105299742332697*c_0101_6^5 - 1435899637447776230/13105299742332697*c_0101_6^4 - 52984959140118618/13105299742332697*c_0101_6^3 + 345511358074009918/13105299742332697*c_0101_6^2 - 14218140218427517/13105299742332697*c_0101_6 - 9033468437451023/13105299742332697, c_0101_1 - 1848020291608926/13105299742332697*c_0101_6^13 - 19357186605980598/13105299742332697*c_0101_6^12 - 9212999649203205/13105299742332697*c_0101_6^11 + 241060861855482385/13105299742332697*c_0101_6^10 - 230092705697574902/13105299742332697*c_0101_6^9 - 186084063249681411/13105299742332697*c_0101_6^8 - 231619634937410068/13105299742332697*c_0101_6^7 + 545588153253267872/13105299742332697*c_0101_6^6 + 597909366744179568/13105299742332697*c_0101_6^5 - 616102326347227673/13105299742332697*c_0101_6^4 - 315069800564457157/13105299742332697*c_0101_6^3 + 145527856735392369/13105299742332697*c_0101_6^2 + 30985296456372741/13105299742332697*c_0101_6 - 749705002655110/13105299742332697, c_0101_3 - 1756295573790180/13105299742332697*c_0101_6^13 - 17723950017202967/13105299742332697*c_0101_6^12 - 1904191420705063/13105299742332697*c_0101_6^11 + 230638755009135891/13105299742332697*c_0101_6^10 - 305508498071417462/13105299742332697*c_0101_6^9 - 70205467643258706/13105299742332697*c_0101_6^8 - 206072339947791306/13105299742332697*c_0101_6^7 + 639956477524427348/13105299742332697*c_0101_6^6 + 334441813694905428/13105299742332697*c_0101_6^5 - 709733586773015773/13105299742332697*c_0101_6^4 - 134913287343510981/13105299742332697*c_0101_6^3 + 181883407419017836/13105299742332697*c_0101_6^2 + 18188135433263328/13105299742332697*c_0101_6 - 9344639814044282/13105299742332697, c_0101_6^14 + 10*c_0101_6^13 - 133*c_0101_6^11 + 186*c_0101_6^10 + 44*c_0101_6^9 + 81*c_0101_6^8 - 369*c_0101_6^7 - 179*c_0101_6^6 + 483*c_0101_6^5 + 46*c_0101_6^4 - 172*c_0101_6^3 + 3*c_0101_6^2 + 17*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB