Magma V2.19-8 Tue Aug 20 2013 23:53:26 on localhost [Seed = 2665018731] Type ? for help. Type -D to quit. Loading file "L13n5914__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5914 geometric_solution 10.89333356 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 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 0 1 -1 0 0 0 0 1 -2 0 1 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.958474784082 0.650108329473 0 3 2 5 0132 2103 2103 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115645173938 0.612173439385 1 0 7 6 2103 0132 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -3 0 3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551543404949 1.271472850703 8 1 9 0 0132 2103 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555693541238 0.699869586064 7 9 0 6 0132 3012 0132 1230 1 1 1 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 3 0 -3 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557123530393 0.768374787824 8 6 1 10 2103 3120 0132 0132 1 1 1 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 0 0 0 0 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 0.835153387232 1.185121310969 4 5 2 11 3012 3120 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.516941965793 1.166125915847 4 8 10 2 0132 0321 2310 0132 1 1 0 1 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 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292018286096 0.682946564431 3 9 5 7 0132 3120 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802324268302 0.548076437890 4 8 11 3 1230 3120 0213 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 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 0.259940115854 0.318008452295 11 7 5 11 3201 3201 0132 2310 1 1 1 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 0 0 0 0 0 2 -2 -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 0.515200797792 0.978174061080 10 9 6 10 3201 0213 0132 2310 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438443993401 0.531293413615 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : 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' : 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_9' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_5, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 30646014015114049/6177312868638340*c_1001_0^11 - 237471541654934017/6177312868638340*c_1001_0^10 - 465873449252165797/6177312868638340*c_1001_0^9 + 116930767066261147/1544328217159585*c_1001_0^8 + 135660553292385821/1235462573727668*c_1001_0^7 - 555692866229559683/6177312868638340*c_1001_0^6 - 61990135932616679/3088656434319170*c_1001_0^5 - 139835105556014659/6177312868638340*c_1001_0^4 + 106310550668175207/6177312868638340*c_1001_0^3 - 123988980489518477/6177312868638340*c_1001_0^2 + 119991258423423743/3088656434319170*c_1001_0 + 13465947104754731/3088656434319170, c_0011_0 - 1, c_0011_10 - 12102173/155606758*c_1001_0^11 + 42878328/77803379*c_1001_0^10 + 121707458/77803379*c_1001_0^9 - 38867697/155606758*c_1001_0^8 - 369167667/155606758*c_1001_0^7 - 26537136/77803379*c_1001_0^6 + 110670103/155606758*c_1001_0^5 + 149119333/155606758*c_1001_0^4 - 34893701/77803379*c_1001_0^3 + 70436752/77803379*c_1001_0^2 - 70776653/155606758*c_1001_0 + 29187554/77803379, c_0011_11 + 10521557/311213516*c_1001_0^11 - 89572349/311213516*c_1001_0^10 - 23335858/77803379*c_1001_0^9 + 258358503/311213516*c_1001_0^8 - 15884847/155606758*c_1001_0^7 - 380109581/311213516*c_1001_0^6 + 588752581/311213516*c_1001_0^5 + 99281577/155606758*c_1001_0^4 - 84799365/311213516*c_1001_0^3 - 38500367/155606758*c_1001_0^2 - 58233703/311213516*c_1001_0 - 210633941/311213516, c_0011_4 - 6246023/77803379*c_1001_0^11 + 52541447/77803379*c_1001_0^10 + 113830271/155606758*c_1001_0^9 - 228550711/155606758*c_1001_0^8 + 64577621/155606758*c_1001_0^7 + 130860992/77803379*c_1001_0^6 - 411741689/155606758*c_1001_0^5 + 226657749/155606758*c_1001_0^4 - 25420889/77803379*c_1001_0^3 - 45245265/155606758*c_1001_0^2 - 97156257/155606758*c_1001_0 + 66387577/155606758, c_0011_5 + 47443881/311213516*c_1001_0^11 - 341767685/311213516*c_1001_0^10 - 227221272/77803379*c_1001_0^9 + 235420827/311213516*c_1001_0^8 + 612016253/155606758*c_1001_0^7 - 161563913/311213516*c_1001_0^6 - 409611767/311213516*c_1001_0^5 - 210494235/155606758*c_1001_0^4 + 202976979/311213516*c_1001_0^3 + 70588093/155606758*c_1001_0^2 + 58687541/311213516*c_1001_0 + 6851363/311213516, c_0011_6 - 4868177/311213516*c_1001_0^11 + 38716911/311213516*c_1001_0^10 + 13931499/77803379*c_1001_0^9 - 21787435/311213516*c_1001_0^8 + 43133866/77803379*c_1001_0^7 + 213243107/311213516*c_1001_0^6 - 282446477/311213516*c_1001_0^5 - 89178037/77803379*c_1001_0^4 - 239898965/311213516*c_1001_0^3 - 33019455/155606758*c_1001_0^2 + 63731455/311213516*c_1001_0 + 150777027/311213516, c_0011_9 - 20814609/311213516*c_1001_0^11 + 186705003/311213516*c_1001_0^10 + 62857645/155606758*c_1001_0^9 - 762275125/311213516*c_1001_0^8 - 33472355/155606758*c_1001_0^7 + 1003720223/311213516*c_1001_0^6 - 767243067/311213516*c_1001_0^5 - 85915937/155606758*c_1001_0^4 + 250242171/311213516*c_1001_0^3 + 11614105/77803379*c_1001_0^2 - 24573267/311213516*c_1001_0 + 85713481/311213516, c_0101_0 - 1, c_0101_1 - 20115915/311213516*c_1001_0^11 + 171448877/311213516*c_1001_0^10 + 85967273/155606758*c_1001_0^9 - 435313987/311213516*c_1001_0^8 - 21690111/155606758*c_1001_0^7 + 310200861/311213516*c_1001_0^6 - 541036901/311213516*c_1001_0^5 + 405013823/155606758*c_1001_0^4 + 138215409/311213516*c_1001_0^3 - 6112905/77803379*c_1001_0^2 - 258043969/311213516*c_1001_0 - 18001873/311213516, c_0101_10 + 5604483/311213516*c_1001_0^11 - 47536155/311213516*c_1001_0^10 - 29764499/155606758*c_1001_0^9 + 187395515/311213516*c_1001_0^8 + 52646699/77803379*c_1001_0^7 - 82883167/311213516*c_1001_0^6 - 160884263/311213516*c_1001_0^5 - 11017787/77803379*c_1001_0^4 + 235428153/311213516*c_1001_0^3 - 54968182/77803379*c_1001_0^2 - 9485227/311213516*c_1001_0 - 55574421/311213516, c_0101_11 - 2573263/77803379*c_1001_0^11 + 48566327/155606758*c_1001_0^10 + 16185929/155606758*c_1001_0^9 - 251958311/155606758*c_1001_0^8 - 24678601/77803379*c_1001_0^7 + 311805321/155606758*c_1001_0^6 - 89245243/155606758*c_1001_0^5 + 6682820/77803379*c_1001_0^4 + 82721403/155606758*c_1001_0^3 - 15272157/155606758*c_1001_0^2 - 41403485/155606758*c_1001_0 + 46573264/77803379, c_1001_0^12 - 8*c_1001_0^11 - 13*c_1001_0^10 + 17*c_1001_0^9 + 15*c_1001_0^8 - 17*c_1001_0^7 + 8*c_1001_0^6 - 11*c_1001_0^5 + 3*c_1001_0^4 - 3*c_1001_0^3 + 9*c_1001_0^2 - 2*c_1001_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB