Magma V2.19-8 Wed Aug 21 2013 01:06:09 on localhost [Seed = 2412353362] Type ? for help. Type -D to quit. Loading file "L14n31171__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31171 geometric_solution 11.77118904 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -1 -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 -3 0 1 2 -1 0 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352375719806 0.874099966878 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 1 -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 -1 3 -2 3 0 -3 0 2 -1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564952701263 0.892214805674 8 0 9 6 0132 0132 0132 2031 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 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 0.984112533747 1.092929630659 10 4 11 0 0132 2031 0132 0132 1 0 1 0 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523124295200 1.008118329145 3 8 0 5 1302 3120 0132 3120 1 0 1 1 0 0 0 0 0 0 1 -1 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 1 0 0 -2 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603278514515 0.984103665010 4 1 12 9 3120 0132 0132 1302 0 0 1 1 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 1 -1 0 -2 0 0 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 0.564952701263 0.892214805674 8 2 1 9 3120 1302 0132 3120 0 0 1 1 0 0 -1 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 0 2 -2 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 0.555859374303 0.598543981436 10 11 10 1 1230 2031 2031 0132 0 0 1 0 0 0 -1 1 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 3 -3 -3 0 0 3 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285222297028 0.449252008549 2 4 12 6 0132 3120 3012 3120 1 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 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 0.337002350385 0.598005833349 6 11 5 2 3120 0132 2031 0132 1 0 1 0 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 -1 1 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529217587245 0.323798609425 3 7 12 7 0132 3012 1023 1302 0 0 0 1 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 0 0 3 0 -3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485227025419 0.144872726878 7 9 12 3 1302 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883666002228 0.772642744039 11 8 10 5 2103 1230 1023 0132 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 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 0.793507989123 0.688944194888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_0'], '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' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_4']), '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' : negation(d['1']), 'c_1100_12' : negation(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' : 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' : negation(d['c_0011_11']), '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' : 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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 35793481693201/5545416180200*c_0101_8^8*c_0110_4 - 147894055935209/2772708090100*c_0101_8^8 - 1169052504484561/5545416180200*c_0101_8^7*c_0110_4 + 12313958139123/5545416180200*c_0101_8^7 + 454713046858709/2772708090100*c_0101_8^6*c_0110_4 + 23652403297119/53321309425*c_0101_8^6 + 641036740731813/693177022525*c_0101_8^5*c_0110_4 + 5228502903585053/5545416180200*c_0101_8^5 + 5110327180581583/5545416180200*c_0101_8^4*c_0110_4 + 1887484374277181/5545416180200*c_0101_8^4 - 3221468450037/426570475400*c_0101_8^3*c_0110_4 - 939356390240471/2772708090100*c_0101_8^3 - 106980823600149/1109083236040*c_0101_8^2*c_0110_4 + 28763781129823/277270809010*c_0101_8^2 + 898657126274157/2772708090100*c_0101_8*c_0110_4 - 174529843641977/5545416180200*c_0101_8 - 116996326280677/5545416180200*c_0110_4 - 297408767563507/2772708090100, c_0011_0 - 1, c_0011_10 + 10594700/19567453*c_0101_8^8*c_0110_4 - 5016450/19567453*c_0101_8^8 - 26367348/19567453*c_0101_8^7*c_0110_4 - 41577963/19567453*c_0101_8^7 - 72035060/19567453*c_0101_8^6*c_011\ 0_4 + 89814687/19567453*c_0101_8^6 - 41142120/19567453*c_0101_8^5*c_0110_4 + 290595679/19567453*c_0101_8^5 + 104568409/19567453*c_0101_8^4*c_011\ 0_4 + 229106653/19567453*c_0101_8^4 + 90615708/19567453*c_0101_8^3*c_0110_4 - 37599904/19567453*c_0101_8^3 - 44612121/19567453*c_0101_8^2*c_0110_4 + 2314413/19567453*c_0101_8^2 + 53254179/19567453*c_0101_8*c_0110_4 + 63631269/19567453*c_0101_8 + 20946249/19567453*c_0110_4 - 39210219/19567453, c_0011_11 + c_0101_8*c_0110_4, c_0011_12 + 56866023/1741503317*c_0101_8^8*c_0110_4 - 1396299522/1741503317*c_0101_8^8 - 5758526486/1741503317*c_0101_8^7*c_0110_4 + 608279466/1741503317*c_0101_8^7 + 5888654787/1741503317*c_0101_8^6*\ c_0110_4 + 12002459904/1741503317*c_0101_8^6 + 26727390670/1741503317*c_0101_8^5*c_0110_4 + 20153044081/1741503317*c_0101_8^5 + 27292543216/1741503317*c_0101_8^4*c_0110_4 + 1975359175/1741503317*c_0101_8^4 + 1226336392/1741503317*c_0101_8^3*c_0110_4 - 8826206439/1741503317*c_0101_8^3 - 1054348901/1741503317*c_0101_8^2*c_0110_4 + 6512443406/1741503317*c_0101_8^2 + 8844128299/1741503317*c_0101_8*c_0110_4 - 3317129295/1741503317*c_0101_8 - 2409904224/1741503317*c_0110_4 - 4214619767/1741503317, c_0011_4 - 384209647/1741503317*c_0101_8^8*c_0110_4 - 62312809/1741503317*c_0101_8^8 - 180693740/1741503317*c_0101_8^7*c_\ 0110_4 + 1585241319/1741503317*c_0101_8^7 + 3663963566/1741503317*c_0101_8^6*c_0110_4 - 671940786/1741503317*c_0101_8^6 + 7527529261/1741503317*c_0101_8^5*\ c_0110_4 - 7742247653/1741503317*c_0101_8^5 + 3365906494/1741503317*c_0101_8^4*c_0110_4 - 9155715339/1741503317*c_0101_8^4 - 3380071293/1741503317*c_0101_8^3*c_0110_4 + 1262980718/1741503317*c_0101_8^3 - 407206276/1741503317*c_0101_8^2*c_0110_4 + 4842568065/1741503317*c_0101_8^2 + 490282370/1741503317*c_0101_8*c_0110_4 - 2992797564/1741503317*c_0101_8 - 709167194/1741503317*c_0110_4 - 1141840412/1741503317, c_0011_7 + 4833019/19567453*c_0101_8^8*c_0110_4 + 15551391/19567453*c_0101_8^8 + 52977974/19567453*c_0101_8^7*c_0110_\ 4 - 30644305/19567453*c_0101_8^7 - 111957549/19567453*c_0101_8^6*c_0110_4 - 80844080/19567453*c_0101_8^6 - 318910764/19567453*c_0101_8^5*c_0110\ _4 - 140005889/19567453*c_0101_8^5 - 152068936/19567453*c_0101_8^4*c_0110_4 - 11758603/19567453*c_0101_8^4 + 123768686/19567453*c_0101_8^3*c_0110\ _4 + 36160806/19567453*c_0101_8^3 - 17547280/19567453*c_0101_8^2*c_0110_4 - 29162436/19567453*c_0101_8^2 - 72689044/19567453*c_0101_8*c_0110_4 + 84877639/19567453*c_0101_8 + 29732187/19567453*c_0110_4 - 4343013/19567453, c_0101_0 - 1, c_0101_2 + 6355538/19567453*c_0101_8^8*c_0110_4 - 9411021/19567453*c_0101_8^8 - 40936282/19567453*c_0101_8^7*c_0110_4 - 21563014/19567453*c_0101_8^7 - 16100130/19567453*c_0101_8^6*c_011\ 0_4 + 103992170/19567453*c_0101_8^6 + 96703628/19567453*c_0101_8^5*c_0110_4 + 269875558/19567453*c_0101_8^5 + 180424342/19567453*c_0101_8^4*c_011\ 0_4 + 164582630/19567453*c_0101_8^4 + 37188170/19567453*c_0101_8^3*c_0110_4 - 46533480/19567453*c_0101_8^3 - 68571907/19567453*c_0101_8^2*c_0110_4 + 23986049/19567453*c_0101_8^2 + 69367898/19567453*c_0101_8*c_0110_4 + 21491854/19567453*c_0101_8 + 5394858/19567453*c_0110_4 - 34377200/19567453, c_0101_3 + 13395346/19567453*c_0101_8^8*c_0110_4 + 4454330/19567453*c_0101_8^8 + 9968818/19567453*c_0101_8^7*c_0110_4 - 52429841/19567453*c_0101_8^7 - 118296632/19567453*c_0101_8^6*c_0110\ _4 + 22221568/19567453*c_0101_8^6 - 283630526/19567453*c_0101_8^5*c_0110_4 + 181202365/19567453*c_0101_8^5 - 159624794/19567453*c_0101_8^4*c_011\ 0_4 + 147418912/19567453*c_0101_8^4 + 72317578/19567453*c_0101_8^3*c_0110_4 - 75118695/19567453*c_0101_8^3 - 14032491/19567453*c_0101_8^2*c_0110_4 - 39435734/19567453*c_0101_8^2 + 17959689/19567453*c_0101_8*c_0110_4 + 103424310/19567453*c_0101_8 + 23650627/19567453*c_0110_4 - 18603350/19567453, c_0101_5 - 5016450/19567453*c_0101_8^8*c_0110_4 - 10594700/19567453*c_0101_8^8 - 41577963/19567453*c_0101_8^7*c_0110_\ 4 + 26367348/19567453*c_0101_8^7 + 89814687/19567453*c_0101_8^6*c_0110_4 + 72035060/19567453*c_0101_8^6 + 290595679/19567453*c_0101_8^5*c_0110_4 + 41142120/19567453*c_0101_8^5 + 229106653/19567453*c_0101_8^4*c_0110\ _4 - 104568409/19567453*c_0101_8^4 - 37599904/19567453*c_0101_8^3*c_0110_4 - 90615708/19567453*c_0101_8^3 + 2314413/19567453*c_0101_8^2*c_0110_4 + 44612121/19567453*c_0101_8^2 + 63631269/19567453*c_0101_8*c_0110_4 - 53254179/19567453*c_0101_8 - 39210219/19567453*c_0110_4 - 20946249/19567453, c_0101_7 - 4293152/19567453*c_0101_8^8*c_0110_4 + 4215613/19567453*c_0101_8^8 + 17376160/19567453*c_0101_8^7*c_0110_4 + 13885113/19567453*c_0101_8^7 + 14896520/19567453*c_0101_8^6*c_011\ 0_4 - 44710129/19567453*c_0101_8^6 - 1430409/19567453*c_0101_8^5*c_0110_4 - 148241903/19567453*c_0101_8^5 - 29816758/19567453*c_0101_8^4*c_0110_4 - 107916896/19567453*c_0101_8^4 - 13377829/19567453*c_0101_8^3*c_0110\ _4 + 12173137/19567453*c_0101_8^3 + 13645071/19567453*c_0101_8^2*c_0110_4 - 4517719/19567453*c_0101_8^2 - 39390102/19567453*c_0101_8*c_0110_4 - 13201481/19567453*c_0101_8 - 10594700/19567453*c_0110_4 + 5016450/19567453, c_0101_8^9 + 4*c_0101_8^8*c_0110_4 - c_0101_8^8 - 6*c_0101_8^7*c_0110_4 - 8*c_0101_8^7 - 18*c_0101_8^6*c_0110_4 - 11*c_0101_8^6 - 10*c_0101_8^5*c_0110_4 + 5*c_0101_8^5 + 9*c_0101_8^4*c_0110_4 + 10*c_0101_8^4 + c_0101_8^3*c_0110_4 - 5*c_0101_8^3 - 7*c_0101_8^2*c_0110_4 + 3*c_0101_8^2 + 4*c_0101_8*c_0110_4 + 2*c_0101_8 - 1, c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.930 Total time: 3.149 seconds, Total memory usage: 64.12MB