Magma V2.19-8 Wed Aug 21 2013 00:51:26 on localhost [Seed = 2177340653] Type ? for help. Type -D to quit. Loading file "L11a448__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a448 geometric_solution 11.73921378 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 1 2 0132 1302 3012 0132 1 1 1 0 0 0 1 -1 0 0 0 0 -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 1 4 -5 0 0 0 0 -4 0 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124414641133 1.074985422096 0 0 3 0 0132 1230 0132 2031 1 1 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 0 0 1 -1 1 0 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464652976715 0.444226851937 4 5 0 3 0132 0132 0132 2031 1 1 2 1 0 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 5 -5 0 0 0 0 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106239898952 0.917949379419 6 2 6 1 0132 1302 3012 0132 1 1 1 2 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 1 -1 -5 5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875585358867 1.074985422096 2 7 5 8 0132 0132 1023 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.104007444126 1.481473482611 7 2 4 9 0132 0132 1023 0132 1 1 1 2 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 -4 0 0 4 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.496823643985 0.891219841517 3 3 9 10 0132 1230 0213 0132 1 1 2 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 -1 0 1 0 0 0 0 -1 0 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106239898952 0.917949379419 5 4 11 11 0132 0132 2031 0132 1 1 2 1 0 0 -1 1 1 0 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 -5 5 4 0 0 -4 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319229333928 0.638817087845 9 10 4 12 0213 1302 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 -4 4 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599676243348 0.520808035901 8 6 5 12 0213 0213 0132 1023 1 1 1 1 0 0 0 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 0 0 0 0 4 0 -4 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283135493108 0.456721642716 11 11 6 8 0213 2103 0132 2031 1 1 1 2 0 1 0 -1 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 5 -1 -4 0 0 0 0 0 -5 0 5 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319229333928 0.638817087845 10 10 7 7 0213 2103 0132 1302 1 1 1 2 0 1 -1 0 0 0 1 -1 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 5 -5 0 0 0 4 -4 0 -5 0 5 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319229333928 0.638817087845 12 12 8 9 1230 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041226826426 1.143021548314 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_12']), 'c_1100_4' : d['c_1100_12'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_1100_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(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_1100_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0110_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_1100_12']), 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_11']})} 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_2, c_0011_3, c_0011_8, c_0011_9, c_0101_12, c_0110_10, c_1001_1, c_1001_2, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 9464571125322725612224722219305/12307904610794320579685329878468*c_\ 1100_12^7 - 114964128195691655803954912662007/246158092215886411593\ 70659756936*c_1100_12^6 + 19724555988052231472705950678471/11189004\ 19163120052698666352588*c_1100_12^5 - 71996756938271230779442352208095/2237800838326240105397332705176*c_\ 1100_12^4 + 9866584375665521421463530051409/24864453759180445615525\ 9189464*c_1100_12^3 - 402109019208140127128097943356179/24615809221\ 588641159370659756936*c_1100_12^2 + 317872660121244522878992374604427/12307904610794320579685329878468*\ c_1100_12 - 18947151667729091154070143487219/6153952305397160289842\ 664939234, c_0011_0 - 1, c_0011_10 - 165922389645746165864/988097806836395660163*c_1100_12^7 + 951400291492765452704/988097806836395660163*c_1100_12^6 - 313437674676542655340/89827073348763241833*c_1100_12^5 + 513147557840361445696/89827073348763241833*c_1100_12^4 - 191239673259237866140/29942357782921080611*c_1100_12^3 + 1278879220847992449802/988097806836395660163*c_1100_12^2 - 5053536837415811987075/988097806836395660163*c_1100_12 - 517726327285852686124/988097806836395660163, c_0011_11 + 1, c_0011_12 + 12510235136758912483/329365935612131886721*c_1100_12^7 - 70042365106770272124/329365935612131886721*c_1100_12^6 + 23163092024429061652/29942357782921080611*c_1100_12^5 - 36872299764288715367/29942357782921080611*c_1100_12^4 + 37352336327303550761/29942357782921080611*c_1100_12^3 + 84907936993596400703/329365935612131886721*c_1100_12^2 + 150362661513403953932/329365935612131886721*c_1100_12 - 133220447668196062173/329365935612131886721, c_0011_2 - 1, c_0011_3 - 278672991950006100976/988097806836395660163*c_1100_12^7 + 1668667371942906141082/988097806836395660163*c_1100_12^6 - 570870951078613369700/89827073348763241833*c_1100_12^5 + 1014606998097291882872/89827073348763241833*c_1100_12^4 - 405730387647191520820/29942357782921080611*c_1100_12^3 + 4118847806354107759814/988097806836395660163*c_1100_12^2 - 8918209010149949562682/988097806836395660163*c_1100_12 - 229742013435148839710/988097806836395660163, c_0011_8 + 19502829445253136563/329365935612131886721*c_1100_12^7 - 117057807413606037614/329365935612131886721*c_1100_12^6 + 40942719576844752231/29942357782921080611*c_1100_12^5 - 76713594975094772637/29942357782921080611*c_1100_12^4 + 103479118866501407135/29942357782921080611*c_1100_12^3 - 613880849971820076180/329365935612131886721*c_1100_12^2 + 829137559244654469452/329365935612131886721*c_1100_12 - 147415491784953436775/329365935612131886721, c_0011_9 - 1, c_0101_12 - 2634902615529319319/329365935612131886721*c_1100_12^7 + 7050514770906673657/329365935612131886721*c_1100_12^6 + 1387253442375165782/29942357782921080611*c_1100_12^5 - 17732278566902021601/29942357782921080611*c_1100_12^4 + 47617107024361831947/29942357782921080611*c_1100_12^3 - 672804552537854786891/329365935612131886721*c_1100_12^2 + 270690615663567222803/329365935612131886721*c_1100_12 - 184979272854462953634/329365935612131886721, c_0110_10 - 379033380581518326/14320258070092690727*c_1100_12^7 + 1837631487588783528/14320258070092690727*c_1100_12^6 - 469711960099624209/1301841642735699157*c_1100_12^5 + 232736352373578219/1301841642735699157*c_1100_12^4 + 769335262835899519/1301841642735699157*c_1100_12^3 - 24186742000988614248/14320258070092690727*c_1100_12^2 + 6671071676312771232/14320258070092690727*c_1100_12 - 11430139515554619628/14320258070092690727, c_1001_1 - 39896867246328412424/329365935612131886721*c_1100_12^7 + 250938898402112489244/329365935612131886721*c_1100_12^6 - 87446986446898541016/29942357782921080611*c_1100_12^5 + 164117096350731964776/29942357782921080611*c_1100_12^4 - 203583126834540320792/29942357782921080611*c_1100_12^3 + 859143921576322140340/329365935612131886721*c_1100_12^2 - 1251988351564830623132/329365935612131886721*c_1100_12 + 582163312107580407428/329365935612131886721, c_1001_2 + 39896867246328412424/329365935612131886721*c_1100_12^7 - 250938898402112489244/329365935612131886721*c_1100_12^6 + 87446986446898541016/29942357782921080611*c_1100_12^5 - 164117096350731964776/29942357782921080611*c_1100_12^4 + 203583126834540320792/29942357782921080611*c_1100_12^3 - 859143921576322140340/329365935612131886721*c_1100_12^2 + 1251988351564830623132/329365935612131886721*c_1100_12 - 252797376495448520707/329365935612131886721, c_1100_12^8 - 977/167*c_1100_12^7 + 3626/167*c_1100_12^6 - 6281/167*c_1100_12^5 + 7623/167*c_1100_12^4 - 2677/167*c_1100_12^3 + 6092/167*c_1100_12^2 + 127/167*c_1100_12 + 351/167 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB