Magma V2.19-8 Wed Aug 21 2013 01:00:54 on localhost [Seed = 3566391097] Type ? for help. Type -D to quit. Loading file "L13n9884__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9884 geometric_solution 12.13492909 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 2 1 2 2 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 -1 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830145165871 0.789057032767 0 4 5 5 0132 0132 2103 0132 2 1 2 2 0 -1 1 0 0 0 -1 1 -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 -2 2 0 1 0 -4 3 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214176760300 0.811896909890 4 0 7 6 3201 0132 0132 0132 2 2 2 2 0 0 0 0 1 0 -1 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 1 0 -1 2 0 -2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623921877361 0.384977203747 0 8 5 0 3120 0132 0132 0132 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260728824256 1.211210228305 4 1 4 2 2031 0132 1302 2310 2 2 2 2 0 1 -1 0 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 2 0 -2 0 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482449107377 1.346643363778 1 6 1 3 2103 2031 0132 0132 2 1 2 2 0 0 0 0 1 0 -1 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 4 0 -3 -1 -2 3 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696223978833 1.151547966916 5 9 2 10 1302 0132 0132 0132 2 2 2 2 0 -1 0 1 -1 0 0 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 -3 1 2 -3 0 0 3 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695205776876 0.869526069127 10 8 11 2 0132 2031 0132 0132 2 2 2 0 0 0 0 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 0 0 0 0 -2 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474503695711 1.016114831442 7 3 9 12 1302 0132 0132 0132 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789084924411 0.638727337798 11 6 12 8 1230 0132 2103 0132 2 0 2 2 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 3 -3 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 0.825934231142 0.475165027709 7 11 6 12 0132 1023 0132 0213 2 2 0 2 0 1 -1 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 2 -2 0 0 0 -3 3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.075154798875 0.637232398608 10 9 12 7 1023 3012 0213 0132 2 2 0 2 0 0 0 0 -1 0 0 1 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 -2 0 0 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.214473024792 1.274072908778 9 11 8 10 2103 0213 0132 0213 2 0 2 2 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 0 0 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627861533103 0.964451092985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_1010_12'], 'c_1100_6' : d['c_1010_12'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_1010_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_12'], 'c_1100_10' : d['c_1010_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_7'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_7']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_12, c_0101_3, c_0101_7, c_1001_0, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 140961662732310993151/995618773570015100*c_1010_12^10 - 193105336352099627007/497809386785007550*c_1010_12^9 - 1725325498479930861579/995618773570015100*c_1010_12^8 - 7981948530994650944847/995618773570015100*c_1010_12^7 - 3650073520911032504471/248904693392503775*c_1010_12^6 - 6109931256563205178677/199123754714003020*c_1010_12^5 - 68205239121594935411841/995618773570015100*c_1010_12^4 - 46257617938392524116489/995618773570015100*c_1010_12^3 + 16371104851175174604727/995618773570015100*c_1010_12^2 + 615084609995338253869/21643886381956850*c_1010_12 + 5044187684911390703833/497809386785007550, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 1027941919/53741919692*c_1010_12^10 - 366928002/13435479923*c_1010_12^9 - 10488361899/53741919692*c_1010_12^8 - 44029404757/53741919692*c_1010_12^7 - 11489010846/13435479923*c_1010_12^6 - 151078904827/53741919692*c_1010_12^5 - 279544860869/53741919692*c_1010_12^4 + 89761266195/53741919692*c_1010_12^3 + 115153809937/53741919692*c_1010_12^2 + 746090787/584151301*c_1010_12 + 1086087195/13435479923, c_0011_3 + 1377657995/53741919692*c_1010_12^10 + 345639972/13435479923*c_1010_12^9 + 12759235305/53741919692*c_1010_12^8 + 53332306835/53741919692*c_1010_12^7 + 16359133177/26870959846*c_1010_12^6 + 166303774501/53741919692*c_1010_12^5 + 296228471897/53741919692*c_1010_12^4 - 327060195411/53741919692*c_1010_12^3 - 136887049883/53741919692*c_1010_12^2 + 83933809/584151301*c_1010_12 + 1864215691/13435479923, c_0011_5 - 1076539469/53741919692*c_1010_12^10 - 1203551157/26870959846*c_1010_12^9 - 12357565663/53741919692*c_1010_12^8 - 55585185219/53741919692*c_1010_12^7 - 22243061813/13435479923*c_1010_12^6 - 209033778115/53741919692*c_1010_12^5 - 457260881721/53741919692*c_1010_12^4 - 220015683925/53741919692*c_1010_12^3 + 66218860639/53741919692*c_1010_12^2 + 1035746541/1168302602*c_1010_12 + 12576005690/13435479923, c_0011_6 - 631857407/53741919692*c_1010_12^10 - 329731621/26870959846*c_1010_12^9 - 5988099577/53741919692*c_1010_12^8 - 24818125691/53741919692*c_1010_12^7 - 8083652455/26870959846*c_1010_12^6 - 83874036775/53741919692*c_1010_12^5 - 138228105853/53741919692*c_1010_12^4 + 126087285925/53741919692*c_1010_12^3 - 18505294831/53741919692*c_1010_12^2 + 130046598/584151301*c_1010_12 + 990394495/13435479923, c_0101_0 - 1, c_0101_10 - 199305987/53741919692*c_1010_12^10 - 111614581/13435479923*c_1010_12^9 - 1891974045/53741919692*c_1010_12^8 - 9484054447/53741919692*c_1010_12^7 - 5897813959/26870959846*c_1010_12^6 - 19415125133/53741919692*c_1010_12^5 - 52622586653/53741919692*c_1010_12^4 + 30121191463/53741919692*c_1010_12^3 + 155609727831/53741919692*c_1010_12^2 + 660891540/584151301*c_1010_12 - 3952515687/13435479923, c_0101_12 + 10563135297/456806317382*c_1010_12^10 + 10591297039/228403158691*c_1010_12^9 + 57855816660/228403158691*c_1010_12^8 + 514883330423/456806317382*c_1010_12^7 + 368407936908/228403158691*c_1010_12^6 + 1827573863727/456806317382*c_1010_12^5 + 1923903871185/228403158691*c_1010_12^4 + 995631375049/456806317382*c_1010_12^3 - 683227000655/228403158691*c_1010_12^2 - 40564382929/19861144234*c_1010_12 + 44315979339/228403158691, c_0101_3 - 318961364/13435479923*c_1010_12^10 - 1426780319/26870959846*c_1010_12^9 - 3562384927/13435479923*c_1010_12^8 - 32534619833/26870959846*c_1010_12^7 - 50383937585/26870959846*c_1010_12^6 - 57112225812/13435479923*c_1010_12^5 - 254941734187/26870959846*c_1010_12^4 - 94947246231/26870959846*c_1010_12^3 + 110914294235/26870959846*c_1010_12^2 + 2357529621/1168302602*c_1010_12 + 8623490003/13435479923, c_0101_7 - 15480398141/456806317382*c_1010_12^10 - 14107727036/228403158691*c_1010_12^9 - 83577805366/228403158691*c_1010_12^8 - 730804917409/456806317382*c_1010_12^7 - 487028404280/228403158691*c_1010_12^6 - 2635138978617/456806317382*c_1010_12^5 - 2675454477650/228403158691*c_1010_12^4 - 805226138787/456806317382*c_1010_12^3 + 602993387592/228403158691*c_1010_12^2 + 59829439267/19861144234*c_1010_12 + 93406697695/228403158691, c_1001_0 - 2653503451/53741919692*c_1010_12^10 - 2118060263/26870959846*c_1010_12^9 - 27008775013/53741919692*c_1010_12^8 - 118401546501/53741919692*c_1010_12^7 - 33371535381/13435479923*c_1010_12^6 - 394752677749/53741919692*c_1010_12^5 - 806111940271/53741919692*c_1010_12^4 + 137165702949/53741919692*c_1010_12^3 + 358715638353/53741919692*c_1010_12^2 + 2189662003/1168302602*c_1010_12 + 6759274312/13435479923, c_1010_12^11 + 2*c_1010_12^10 + 11*c_1010_12^9 + 49*c_1010_12^8 + 70*c_1010_12^7 + 177*c_1010_12^6 + 371*c_1010_12^5 + 97*c_1010_12^4 - 95*c_1010_12^3 - 100*c_1010_12^2 - 28*c_1010_12 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB