Magma V2.19-8 Tue Aug 20 2013 23:50:38 on localhost [Seed = 1932859477] Type ? for help. Type -D to quit. Loading file "L12n636__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n636 geometric_solution 10.62188111 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 -1 1 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 -1 3 -2 0 0 2 -2 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528191815939 0.600879966658 0 5 7 6 0132 0132 0132 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 0.631858214819 0.667299298645 8 0 9 4 0132 0132 0132 0321 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 1 -1 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954963859482 0.929927026758 5 8 10 0 0132 0132 0132 0132 1 1 0 1 0 0 -1 1 -1 0 0 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 3 -3 2 0 0 -2 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142624323290 0.568530577255 6 2 0 8 1230 0321 0132 0132 1 1 0 1 0 0 -1 1 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 0 2 -2 0 0 2 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987477007875 1.417620084432 3 1 6 11 0132 0132 2103 0132 1 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 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 0 0 0 0.611843305975 2.423816203058 5 4 1 7 2103 3012 0132 2310 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923998745355 0.772400288702 6 10 11 1 3201 1230 2031 0132 1 1 1 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 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 0 0 0 0 0 0 0 0 0 0 0.711416221987 1.158075519485 2 3 4 11 0132 0132 0132 1230 1 1 1 0 0 0 -1 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 0 2 -2 0 0 2 -2 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252232263095 0.649113383690 11 10 10 2 1230 2031 2310 0132 1 1 1 1 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 -1 0 1 -1 0 1 0 1 -1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669237964843 1.048344730173 9 9 7 3 1302 3201 3012 0132 1 1 1 1 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 3 0 -3 -3 0 3 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567370021219 0.677704168317 8 9 5 7 3012 3012 0132 1302 1 1 1 1 0 0 0 0 -1 0 1 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 2 0 -2 0 2 1 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.656716137661 0.342832321691 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_11'], 's_3_11' : 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' : negation(d['c_0011_9']), '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0110_11'], 'c_1100_3' : d['c_0110_11'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0110_11'], '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_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' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], '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_4']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_7'])})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_11, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 214197108959685260/439641411*c_1001_0^10 + 486899073176003542/439641411*c_1001_0^9 + 35609619237027809/439641411*c_1001_0^8 + 259640745225887537/439641411*c_1001_0^7 + 190346544978115870/439641411*c_1001_0^6 - 1742495338806647939/439641411*c_1001_0^5 + 1414780588542783542/439641411*c_1001_0^4 - 765178884964380965/146547137*c_1001_0^3 + 152200874999813905/39967401*c_1001_0^2 - 259061073878070271/146547137*c_1001_0 + 585751570244907701/439641411, c_0011_0 - 1, c_0011_10 - 7748219/2148785*c_1001_0^10 - 65900789/10743925*c_1001_0^9 + 74676519/10743925*c_1001_0^8 + 4819337/10743925*c_1001_0^7 - 81847178/10743925*c_1001_0^6 + 314029117/10743925*c_1001_0^5 - 388679016/10743925*c_1001_0^4 + 11690821/429757*c_1001_0^3 - 219691967/10743925*c_1001_0^2 + 74490731/10743925*c_1001_0 - 4489586/10743925, c_0011_11 - 3261204/2148785*c_1001_0^10 - 6880199/10743925*c_1001_0^9 + 75082129/10743925*c_1001_0^8 - 27565658/10743925*c_1001_0^7 - 54094648/10743925*c_1001_0^6 + 202696047/10743925*c_1001_0^5 - 291917006/10743925*c_1001_0^4 + 9641084/429757*c_1001_0^3 - 156576347/10743925*c_1001_0^2 + 60759846/10743925*c_1001_0 - 3712376/10743925, c_0011_4 - 2283455/429757*c_1001_0^10 - 5807386/429757*c_1001_0^9 + 324633/429757*c_1001_0^8 + 2082426/429757*c_1001_0^7 - 3859644/429757*c_1001_0^6 + 16535444/429757*c_1001_0^5 - 6654693/429757*c_1001_0^4 + 4483338/429757*c_1001_0^3 - 1720892/429757*c_1001_0^2 - 4013098/429757*c_1001_0 + 736380/429757, c_0011_7 - 3393254/2148785*c_1001_0^10 - 62612124/10743925*c_1001_0^9 - 33884121/10743925*c_1001_0^8 + 47645967/10743925*c_1001_0^7 - 21695973/10743925*c_1001_0^6 + 79824872/10743925*c_1001_0^5 + 111728669/10743925*c_1001_0^4 - 4718882/429757*c_1001_0^3 + 110414653/10743925*c_1001_0^2 - 104683854/10743925*c_1001_0 + 12259749/10743925, c_0011_9 + 2676584/2148785*c_1001_0^10 + 57752354/10743925*c_1001_0^9 + 47960816/10743925*c_1001_0^8 - 43738382/10743925*c_1001_0^7 - 5871042/10743925*c_1001_0^6 - 54464287/10743925*c_1001_0^5 - 141271199/10743925*c_1001_0^4 + 4453605/429757*c_1001_0^3 - 76808888/10743925*c_1001_0^2 + 89814209/10743925*c_1001_0 - 931204/10743925, c_0101_0 - 2090365/429757*c_1001_0^10 - 3331278/429757*c_1001_0^9 + 4303315/429757*c_1001_0^8 - 158536/429757*c_1001_0^7 - 3476256/429757*c_1001_0^6 + 18178037/429757*c_1001_0^5 - 22845952/429757*c_1001_0^4 + 19344513/429757*c_1001_0^3 - 14936558/429757*c_1001_0^2 + 5458267/429757*c_1001_0 - 793908/429757, c_0101_1 - 1, c_0101_11 - 7124557/2148785*c_1001_0^10 - 52450767/10743925*c_1001_0^9 + 89268657/10743925*c_1001_0^8 + 7934636/10743925*c_1001_0^7 - 65060309/10743925*c_1001_0^6 + 321546401/10743925*c_1001_0^5 - 399453298/10743925*c_1001_0^4 + 12642051/429757*c_1001_0^3 - 230688426/10743925*c_1001_0^2 + 77423768/10743925*c_1001_0 - 3888308/10743925, c_0101_7 + 4429326/2148785*c_1001_0^10 + 53178356/10743925*c_1001_0^9 - 3465226/10743925*c_1001_0^8 - 3894898/10743925*c_1001_0^7 + 25281237/10743925*c_1001_0^6 - 183593593/10743925*c_1001_0^5 + 108326189/10743925*c_1001_0^4 - 3915208/429757*c_1001_0^3 + 62160718/10743925*c_1001_0^2 + 22458351/10743925*c_1001_0 - 8331281/10743925, c_0110_11 - 2203914/2148785*c_1001_0^10 - 45687959/10743925*c_1001_0^9 - 30536286/10743925*c_1001_0^8 + 40530047/10743925*c_1001_0^7 - 19472793/10743925*c_1001_0^6 + 24546027/10743925*c_1001_0^5 + 111370129/10743925*c_1001_0^4 - 4633229/429757*c_1001_0^3 + 99001673/10743925*c_1001_0^2 - 72020439/10743925*c_1001_0 + 5442734/10743925, c_1001_0^11 + 11/5*c_1001_0^10 + 6/5*c_1001_0^8 + 4/5*c_1001_0^7 - 41/5*c_1001_0^6 + 36/5*c_1001_0^5 - 56/5*c_1001_0^4 + 43/5*c_1001_0^3 - 21/5*c_1001_0^2 + 3*c_1001_0 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB