Magma V2.19-8 Wed Aug 21 2013 01:06:25 on localhost [Seed = 3280329486] Type ? for help. Type -D to quit. Loading file "L14n31966__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31966 geometric_solution 12.05948801 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 0 1 1 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 -1 0 1 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624960361292 0.999199827206 0 5 7 6 0132 0132 0132 0132 0 1 0 1 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 0 1 1 0 0 -1 0 2 0 -2 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329255067034 0.877218224774 8 0 10 9 0132 0132 0132 0132 0 1 0 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 -2 1 0 0 1 -1 0 0 0 0 8 -9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170227499333 0.665197840189 11 10 7 0 0132 0132 0213 0132 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 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 0.294980627030 0.750500080646 8 7 0 5 3012 0213 0132 0213 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 -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 0.626160122897 0.845634055748 12 1 10 4 0132 0132 3120 0213 0 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 1 0 -1 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 0.546367854249 1.154146851603 9 11 1 10 0213 3120 0132 3120 0 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 1 -1 0 0 0 1 -1 1 0 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638939700282 1.410914996061 12 3 4 1 2031 0213 0213 0132 0 1 1 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 -8 -1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434451648343 0.763777393107 2 12 11 4 0132 0132 1230 1230 1 1 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661917874424 0.657933776400 6 11 2 12 0213 0213 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 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 1.638939700282 1.410914996061 6 3 5 2 3120 0132 3120 0132 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 0 0 0 0 0 -2 2 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 -0.464334519429 0.978468670680 3 6 9 8 0132 3120 0213 3012 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -0.301727502320 1.640029042269 5 8 7 9 0132 0132 1302 2103 1 1 0 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 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748262293762 0.815365146424 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_1001_2'], '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' : negation(d['1']), 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_5']), 'c_1100_11' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_10']), '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' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_8']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : d['c_0011_4'], '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' : 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' : 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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2218142239/417514750*c_1001_8^7 - 83690013367/2922603250*c_1001_8^6 - 110932988343/1461301625*c_1001_8^5 - 304263087873/2922603250*c_1001_8^4 - 49607637871/417514750*c_1001_8^3 - 121891919883/1461301625*c_1001_8^2 - 883081925/23380826*c_1001_8 - 3940009408/292260325, c_0011_0 - 1, c_0011_10 + 1600368/8350295*c_1001_8^7 + 10292852/8350295*c_1001_8^6 + 34059221/8350295*c_1001_8^5 + 66402963/8350295*c_1001_8^4 + 92253727/8350295*c_1001_8^3 + 82359491/8350295*c_1001_8^2 + 9785771/1670059*c_1001_8 + 4801948/1670059, c_0011_4 - 2005542/8350295*c_1001_8^7 - 9456423/8350295*c_1001_8^6 - 16765894/8350295*c_1001_8^5 - 1232702/8350295*c_1001_8^4 + 12973342/8350295*c_1001_8^3 + 157751/8350295*c_1001_8^2 + 791038/1670059*c_1001_8 + 876613/1670059, c_0011_6 + 543137/8350295*c_1001_8^7 + 156223/8350295*c_1001_8^6 - 10755281/8350295*c_1001_8^5 - 42360778/8350295*c_1001_8^4 - 62471792/8350295*c_1001_8^3 - 51036716/8350295*c_1001_8^2 - 6924040/1670059*c_1001_8 - 1432691/1670059, c_0011_7 - 3752728/8350295*c_1001_8^7 - 27199807/8350295*c_1001_8^6 - 87452211/8350295*c_1001_8^5 - 146443028/8350295*c_1001_8^4 - 141132187/8350295*c_1001_8^3 - 102265396/8350295*c_1001_8^2 - 11811737/1670059*c_1001_8 - 2865221/1670059, c_0011_9 - 4433828/8350295*c_1001_8^7 - 28348682/8350295*c_1001_8^6 - 83234976/8350295*c_1001_8^5 - 126891733/8350295*c_1001_8^4 - 121415672/8350295*c_1001_8^3 - 82709206/8350295*c_1001_8^2 - 6870407/1670059*c_1001_8 - 2338282/1670059, c_0101_1 - 1, c_0101_10 - 627522/8350295*c_1001_8^7 - 704063/8350295*c_1001_8^6 + 5947061/8350295*c_1001_8^5 + 25383028/8350295*c_1001_8^4 + 29407797/8350295*c_1001_8^3 + 17946421/8350295*c_1001_8^2 + 1488505/1670059*c_1001_8 - 336085/1670059, c_0101_5 - 538727/8350295*c_1001_8^7 - 4564228/8350295*c_1001_8^6 - 16143154/8350295*c_1001_8^5 - 30581587/8350295*c_1001_8^4 - 31653758/8350295*c_1001_8^3 - 29240724/8350295*c_1001_8^2 - 3849197/1670059*c_1001_8 - 1803907/1670059, c_1001_0 - 781298/8350295*c_1001_8^7 - 5096547/8350295*c_1001_8^6 - 14961226/8350295*c_1001_8^5 - 22768253/8350295*c_1001_8^4 - 16055027/8350295*c_1001_8^3 - 2196196/8350295*c_1001_8^2 + 1084093/1670059*c_1001_8 + 1488508/1670059, c_1001_1 + 923678/8350295*c_1001_8^7 + 4735972/8350295*c_1001_8^6 + 11378021/8350295*c_1001_8^5 + 13011893/8350295*c_1001_8^4 + 17844692/8350295*c_1001_8^3 + 21638241/8350295*c_1001_8^2 + 3953864/1670059*c_1001_8 + 2092289/1670059, c_1001_2 + 2379118/8350295*c_1001_8^7 + 14039442/8350295*c_1001_8^6 + 37840821/8350295*c_1001_8^5 + 46884933/8350295*c_1001_8^4 + 30572182/8350295*c_1001_8^3 + 4199286/8350295*c_1001_8^2 - 1329026/1670059*c_1001_8 - 828738/1670059, c_1001_8^8 + 48/7*c_1001_8^7 + 22*c_1001_8^6 + 272/7*c_1001_8^5 + 318/7*c_1001_8^4 + 274/7*c_1001_8^3 + 165/7*c_1001_8^2 + 10*c_1001_8 + 25/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.550 seconds, Total memory usage: 32.09MB