Magma V2.19-8 Wed Aug 21 2013 00:55:24 on localhost [Seed = 829893453] Type ? for help. Type -D to quit. Loading file "L13a5197__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a5197 geometric_solution 10.59077894 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 1 1 0 3012 0132 1023 1230 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.668532738408 0.266974517250 2 0 0 3 0132 0132 1023 0132 2 2 2 2 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 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 1.207101781422 0.690153435122 1 4 5 3 0132 0132 0132 2031 0 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 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 0.422543428127 0.476212262501 6 2 1 7 0132 1302 0132 0132 2 2 0 2 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 1 -1 1 0 -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 0.429637631145 1.304574301813 7 2 9 8 3201 0132 0132 0132 0 2 2 2 0 0 1 -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 -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 0.064412958822 1.022208540553 6 10 11 2 3120 0132 0132 0132 0 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238089941376 0.587727415924 3 12 11 5 0132 0132 2310 3120 0 2 2 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 -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 0.412696647125 0.195909138641 11 11 3 4 0132 1230 0132 2310 2 2 2 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 1 -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 0.215239226856 0.423161670590 9 10 4 10 0132 0213 0132 2310 0 2 1 2 0 0 1 -1 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 0 1 -1 -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 0.469299658750 0.487202444928 8 12 12 4 0132 2031 0321 0132 0 2 2 1 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 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 0.974451371725 1.064671132338 8 5 8 12 3201 0132 0213 2103 0 1 0 2 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 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469299658750 0.487202444928 7 6 7 5 0132 3201 3012 0132 0 2 0 2 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045052263157 1.877433242776 9 6 9 10 1302 0132 0321 2103 0 1 0 2 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 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 0.022526131579 0.938716621388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : 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_12' : negation(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' : d['1'], 's_0_1' : 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_1001_7']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_1001_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0110_10']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : negation(d['c_0110_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : d['c_0011_0'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_10'], 'c_0101_12' : d['c_0011_8'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0101_11']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_2'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0110_10, c_1001_10, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 326459922893287530315689961033/46702174321058501252756224*c_1001_7^\ 8 - 8643917772896428644240373821/2747186724768147132515072*c_1001_7\ ^7 - 299857200200790492704918975955/46702174321058501252756224*c_10\ 01_7^6 + 28386075307674923496879758059/46702174321058501252756224*c\ _1001_7^5 - 3776504901503113555447688053/833967398590330379513504*c\ _1001_7^4 - 63950594879167609536273365997/4670217432105850125275622\ 4*c_1001_7^3 - 25691086899716514083836041477/4670217432105850125275\ 6224*c_1001_7^2 + 7032434315966201800952393331/23351087160529250626\ 378112*c_1001_7 - 1691057481755486973028408007/46702174321058501252\ 756224, c_0011_0 - 1, c_0011_10 - 99836134201052668/22612259850319707*c_1001_7^8 - 102949580118262063/22612259850319707*c_1001_7^7 - 144283762079201152/22612259850319707*c_1001_7^6 - 47584351566312232/22612259850319707*c_1001_7^5 - 82675723380174401/22612259850319707*c_1001_7^4 - 17166504736245055/7537419950106569*c_1001_7^3 - 52469285945216857/22612259850319707*c_1001_7^2 - 651336984670169/7537419950106569*c_1001_7 - 16697467931688484/22612259850319707, c_0011_11 - 1996589933255054531/45224519700639414*c_1001_7^8 - 1123474676554180379/45224519700639414*c_1001_7^7 - 933091836404401777/22612259850319707*c_1001_7^6 - 17526029893621901/45224519700639414*c_1001_7^5 - 617568389353141832/22612259850319707*c_1001_7^4 - 96735724788852097/7537419950106569*c_1001_7^3 - 84620014061579854/22612259850319707*c_1001_7^2 + 27221302978049767/15074839900213138*c_1001_7 - 1967512147315564/22612259850319707, c_0011_12 + 199672268402105336/22612259850319707*c_1001_7^8 + 205899160236524126/22612259850319707*c_1001_7^7 + 288567524158402304/22612259850319707*c_1001_7^6 + 95168703132624464/22612259850319707*c_1001_7^5 + 165351446760348802/22612259850319707*c_1001_7^4 + 34333009472490110/7537419950106569*c_1001_7^3 + 104938571890433714/22612259850319707*c_1001_7^2 + 1302673969340338/7537419950106569*c_1001_7 + 10782676013057261/22612259850319707, c_0011_8 - 1, c_0101_0 - 230878305613386153/15074839900213138*c_1001_7^8 + 290776175698026849/15074839900213138*c_1001_7^7 + 10620476171031144/7537419950106569*c_1001_7^6 + 337823552138797479/15074839900213138*c_1001_7^5 - 91951407970221716/7537419950106569*c_1001_7^4 + 80341685958021465/7537419950106569*c_1001_7^3 + 43668316746952830/7537419950106569*c_1001_7^2 + 22867335695771031/15074839900213138*c_1001_7 - 17512489443345904/7537419950106569, c_0101_1 - 25477147585619567/367679021956418*c_1001_7^8 + 12628476945866733/183839510978209*c_1001_7^7 - 4798262466195003/367679021956418*c_1001_7^6 + 34753711898440641/367679021956418*c_1001_7^5 - 18183670738659995/367679021956418*c_1001_7^4 + 8092023077985912/183839510978209*c_1001_7^3 + 3476716074317220/183839510978209*c_1001_7^2 + 2929834105030269/367679021956418*c_1001_7 - 1556717434347441/367679021956418, c_0101_11 + 2493221602692041495/30149679800426276*c_1001_7^8 + 1432019078497785245/30149679800426276*c_1001_7^7 + 2670148014079808793/30149679800426276*c_1001_7^6 + 179179136238195315/30149679800426276*c_1001_7^5 + 918154660601218939/15074839900213138*c_1001_7^4 + 694864259713858525/30149679800426276*c_1001_7^3 + 457910042154868789/30149679800426276*c_1001_7^2 - 6464361186817359/7537419950106569*c_1001_7 + 38717882656380141/30149679800426276, c_0101_2 - 3551278269370425113/15074839900213138*c_1001_7^8 + 824723001348082871/7537419950106569*c_1001_7^7 - 1628917841905241117/15074839900213138*c_1001_7^6 + 3369757242583561463/15074839900213138*c_1001_7^5 - 2372060733244594989/15074839900213138*c_1001_7^4 + 691825191023024380/7537419950106569*c_1001_7^3 + 252945428994506496/7537419950106569*c_1001_7^2 + 398203074219161421/15074839900213138*c_1001_7 - 105663252113083855/15074839900213138, c_0110_10 + 157165528372342789/45224519700639414*c_1001_7^8 - 140933449741186855/22612259850319707*c_1001_7^7 - 75692294430297611/45224519700639414*c_1001_7^6 - 295665346164830195/45224519700639414*c_1001_7^5 + 138560577015412667/45224519700639414*c_1001_7^4 - 25162616035292173/7537419950106569*c_1001_7^3 - 58846224468565024/22612259850319707*c_1001_7^2 - 6273046344000265/15074839900213138*c_1001_7 + 6486345835687813/45224519700639414, c_1001_10 - 1, c_1001_5 - 395057392888641539/135673559101918242*c_1001_7^8 + 166256029489803383/67836779550959121*c_1001_7^7 - 66224525388438851/135673559101918242*c_1001_7^6 + 429329774852967349/135673559101918242*c_1001_7^5 - 341168592865920313/135673559101918242*c_1001_7^4 + 10164452300441195/7537419950106569*c_1001_7^3 + 32947837017037526/67836779550959121*c_1001_7^2 + 3195542642368961/15074839900213138*c_1001_7 - 2924187167971391/135673559101918242, c_1001_7^9 + 564/1121*c_1001_7^8 + 18/19*c_1001_7^7 - 30/1121*c_1001_7^6 + 731/1121*c_1001_7^5 + 269/1121*c_1001_7^4 + 104/1121*c_1001_7^3 - 35/1121*c_1001_7^2 + 5/1121*c_1001_7 + 1/1121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB