Magma V2.19-8 Tue Aug 20 2013 23:50:43 on localhost [Seed = 745162518] Type ? for help. Type -D to quit. Loading file "L12n7__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n7 geometric_solution 10.68454458 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 0 1 1 1 0 -1 0 1 0 0 0 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 -1 0 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 0.856614124743 0.953050561601 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174216491432 0.609680634208 7 0 8 8 0132 0132 0213 0132 0 1 1 1 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 0 1 -1 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 0.516052974743 0.430147501415 9 0 8 0 0132 0321 0132 0132 0 1 1 1 0 -1 1 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 1 0 1 0 0 -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 0.478340108598 0.580387642586 10 1 11 6 0132 0132 0132 0132 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 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 0.309633196033 0.531716266737 7 10 1 11 1023 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 -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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509667143324 0.799975633678 7 11 4 1 3120 2031 0132 0132 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 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 -0.546615955757 1.775491727490 2 5 9 6 0132 1023 1023 3120 1 1 1 1 0 0 0 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.532039759781 1.291941793787 9 2 2 3 1023 0213 0132 0132 0 1 1 1 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 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 1.154366773904 1.026037887613 3 8 7 10 0132 1023 1023 1302 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 0 0 0 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032105949486 0.860295002829 4 5 9 11 0132 0132 2031 0321 1 1 1 1 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 1 -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 1.188132086630 1.020477369148 6 10 5 4 1302 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 1 0 -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 0 0 0.692932447278 1.278893729912 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : negation(d['c_0011_0'])})} 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_11, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_3, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6874792991/29888141940*c_1100_1^9 - 996171001567/478210271040*c_1100_1^8 - 178088095537/23910513552*c_1100_1^7 - 445664493071/29888141940*c_1100_1^6 - 2828457457507/119552567760*c_1100_1^5 - 4813913663617/239105135520*c_1100_1^4 - 3031394255159/119552567760*c_1100_1^3 - 364602785017/29888141940*c_1100_1^2 - 467666601089/23910513552*c_1100_1 - 3676283199019/478210271040, c_0011_0 - 1, c_0011_11 + 3281/147138*c_1100_1^9 + 64001/294276*c_1100_1^8 + 64633/73569*c_1100_1^7 + 151486/73569*c_1100_1^6 + 259568/73569*c_1100_1^5 + 541685/147138*c_1100_1^4 + 309697/73569*c_1100_1^3 + 224873/73569*c_1100_1^2 + 546265/147138*c_1100_1 + 688661/294276, c_0011_3 + 107501/1177104*c_1100_1^9 + 964099/1177104*c_1100_1^8 + 844625/294276*c_1100_1^7 + 1642145/294276*c_1100_1^6 + 5185409/588552*c_1100_1^5 + 4332271/588552*c_1100_1^4 + 2704211/294276*c_1100_1^3 + 1349215/294276*c_1100_1^2 + 8135173/1177104*c_1100_1 + 4645531/1177104, c_0011_6 + 18005/588552*c_1100_1^9 + 177637/588552*c_1100_1^8 + 180851/147138*c_1100_1^7 + 849757/294276*c_1100_1^6 + 723085/147138*c_1100_1^5 + 1423249/294276*c_1100_1^4 + 307063/73569*c_1100_1^3 + 656999/294276*c_1100_1^2 + 1448707/588552*c_1100_1 + 971233/588552, c_0101_0 - 4943/294276*c_1100_1^9 - 53491/294276*c_1100_1^8 - 58631/73569*c_1100_1^7 - 138731/73569*c_1100_1^6 - 443993/147138*c_1100_1^5 - 511441/147138*c_1100_1^4 - 272090/73569*c_1100_1^3 - 266695/73569*c_1100_1^2 - 738847/294276*c_1100_1 - 445867/294276, c_0101_10 - 35447/392368*c_1100_1^9 - 332125/392368*c_1100_1^8 - 156375/49046*c_1100_1^7 - 667117/98092*c_1100_1^6 - 2164691/196184*c_1100_1^5 - 1983159/196184*c_1100_1^4 - 535495/49046*c_1100_1^3 - 541157/98092*c_1100_1^2 - 3206839/392368*c_1100_1 - 1589161/392368, c_0101_3 - 1, c_0101_7 + 39129/196184*c_1100_1^9 + 357027/196184*c_1100_1^8 + 320629/49046*c_1100_1^7 + 639869/49046*c_1100_1^6 + 2024465/98092*c_1100_1^5 + 1785051/98092*c_1100_1^4 + 1082797/49046*c_1100_1^3 + 627535/49046*c_1100_1^2 + 3204289/196184*c_1100_1 + 1845755/196184, c_1001_0 - 1, c_1001_3 - 929/8592*c_1100_1^9 - 8599/8592*c_1100_1^8 - 7877/2148*c_1100_1^7 - 16037/2148*c_1100_1^6 - 50813/4296*c_1100_1^5 - 46555/4296*c_1100_1^4 - 27683/2148*c_1100_1^3 - 17635/2148*c_1100_1^2 - 80953/8592*c_1100_1 - 46927/8592, c_1001_4 + 27457/2354208*c_1100_1^9 + 257627/2354208*c_1100_1^8 + 248791/588552*c_1100_1^7 + 584569/588552*c_1100_1^6 + 2228629/1177104*c_1100_1^5 + 2569439/1177104*c_1100_1^4 + 1350301/588552*c_1100_1^3 + 794783/588552*c_1100_1^2 + 2605385/2354208*c_1100_1 + 2373347/2354208, c_1100_1^10 + 10*c_1100_1^9 + 41*c_1100_1^8 + 96*c_1100_1^7 + 166*c_1100_1^6 + 188*c_1100_1^5 + 198*c_1100_1^4 + 160*c_1100_1^3 + 141*c_1100_1^2 + 114*c_1100_1 + 37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB