Magma V2.19-8 Wed Aug 21 2013 01:04:06 on localhost [Seed = 3103695083] Type ? for help. Type -D to quit. Loading file "L14n23995__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23995 geometric_solution 11.96900331 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 1 1 1 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 4 -3 -1 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 0.759475110909 0.903406446548 0 4 6 5 0132 0132 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 -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 1.280941157687 0.544763565819 7 0 8 0 0132 0132 0132 0213 0 1 1 1 0 1 -1 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 -4 3 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 0.759475110909 0.903406446548 9 8 8 0 0132 0132 0321 0132 0 1 1 1 0 1 0 -1 0 0 -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 -3 0 3 0 0 -1 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698320896990 0.725204910604 5 1 10 7 1302 0132 0132 2103 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 0.561666707490 1.037138406483 11 4 1 12 0132 2031 0132 0132 1 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 -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 0.391227055972 1.333435937923 10 11 9 1 0321 0132 0132 0132 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 -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 1.064928138237 1.654028978670 2 12 10 4 0132 2103 0213 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422456258121 0.465027345945 10 3 3 2 2103 0132 0321 0132 0 1 1 1 0 -1 0 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 3 0 -3 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 0.698320896990 0.725204910604 3 12 11 6 0132 1023 0132 0132 1 1 1 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 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 0.496350989017 0.579850383111 6 7 8 4 0321 0213 2103 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 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 0.385065772002 0.769909176178 5 6 12 9 0132 0132 0132 0132 1 1 1 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 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 -0.042923376260 0.357265364926 9 7 5 11 1023 2103 0132 0132 1 1 1 1 0 0 0 0 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 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 0.481304822786 0.826959948046 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0101_11'], '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_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0110_4']), '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' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1001_2'], 's_3_1' : 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' : d['1'], 'c_1100_12' : d['c_1100_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' : 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_12'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(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_11, c_0011_12, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_4, c_1001_0, c_1001_1, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 169362757394970475538/281739290194511171*c_1100_1^9 + 1710523838389133415743/2253914321556089368*c_1100_1^8 - 2588283269492755169323/1126957160778044684*c_1100_1^7 - 1095834145099588317289/204901301959644488*c_1100_1^6 - 1889402375890379936023/1126957160778044684*c_1100_1^5 + 5650808422155973850291/2253914321556089368*c_1100_1^4 + 346833964879830707029/563478580389022342*c_1100_1^3 - 2179018676274549193801/2253914321556089368*c_1100_1^2 - 82655762418381950145/563478580389022342*c_1100_1 + 125469821533279300557/1126957160778044684, c_0011_0 - 1, c_0011_10 - 52402253127/4562106506*c_1100_1^9 - 52649737597/4562106506*c_1100_1^8 + 434980597419/9124213012*c_1100_1^7 + 207906904205/2281053253*c_1100_1^6 + 28624551205/4562106506*c_1100_1^5 - 260552871993/4562106506*c_1100_1^4 - 34096080789/9124213012*c_1100_1^3 + 41910993516/2281053253*c_1100_1^2 - 1289695337/4562106506*c_1100_1 - 3630198883/2281053253, c_0011_11 + 8979225229/588658904*c_1100_1^9 + 4936138649/588658904*c_1100_1^8 - 4803429608/73582363*c_1100_1^7 - 13326374767/147164726*c_1100_1^6 + 16094930939/588658904*c_1100_1^5 + 32644083811/588658904*c_1100_1^4 - 3736088871/147164726*c_1100_1^3 - 3469349619/147164726*c_1100_1^2 + 652723735/147164726*c_1100_1 + 292950945/147164726, c_0011_12 + 14684886537/9124213012*c_1100_1^9 + 52680818295/9124213012*c_1100_1^8 - 14131926831/2281053253*c_1100_1^7 - 276576400587/9124213012*c_1100_1^6 - 42143319435/2281053253*c_1100_1^5 + 95359012909/4562106506*c_1100_1^4 + 90372512163/9124213012*c_1100_1^3 - 20821830660/2281053253*c_1100_1^2 - 6576197481/4562106506*c_1100_1 + 2710610915/2281053253, c_0101_0 + 98493623561/9124213012*c_1100_1^9 + 40239141715/18248426024*c_1100_1^8 - 430548580269/9124213012*c_1100_1^7 - 226821212973/4562106506*c_1100_1^6 + 162532394117/4562106506*c_1100_1^5 + 626505370465/18248426024*c_1100_1^4 - 36703841033/2281053253*c_1100_1^3 - 20213744179/4562106506*c_1100_1^2 + 8811984154/2281053253*c_1100_1 - 5424173669/4562106506, c_0101_10 - 2907084507/294329452*c_1100_1^9 - 1697376029/294329452*c_1100_1^8 + 12208157745/294329452*c_1100_1^7 + 17904877943/294329452*c_1100_1^6 - 1795551215/147164726*c_1100_1^5 - 2664417082/73582363*c_1100_1^4 + 907684377/147164726*c_1100_1^3 + 680295576/73582363*c_1100_1^2 - 126869239/73582363*c_1100_1 + 43918235/73582363, c_0101_11 - 2296201957/294329452*c_1100_1^9 - 3613660285/588658904*c_1100_1^8 + 2259986007/73582363*c_1100_1^7 + 7965276929/147164726*c_1100_1^6 + 341652320/73582363*c_1100_1^5 - 14300859419/588658904*c_1100_1^4 - 436463727/294329452*c_1100_1^3 + 493844615/73582363*c_1100_1^2 + 146873701/147164726*c_1100_1 - 109258615/147164726, c_0101_2 - 440405539067/18248426024*c_1100_1^9 - 45613166072/2281053253*c_1100_1^8 + 931027385767/9124213012*c_1100_1^7 + 394834255300/2281053253*c_1100_1^6 - 193441575031/18248426024*c_1100_1^5 - 252908485544/2281053253*c_1100_1^4 + 43322569779/4562106506*c_1100_1^3 + 79230843788/2281053253*c_1100_1^2 - 17727751645/4562106506*c_1100_1 - 3921483216/2281053253, c_0110_4 - 288823654739/18248426024*c_1100_1^9 - 37853046429/4562106506*c_1100_1^8 + 625685484791/9124213012*c_1100_1^7 + 859694375227/9124213012*c_1100_1^6 - 561140351493/18248426024*c_1100_1^5 - 601116117679/9124213012*c_1100_1^4 + 117418360297/9124213012*c_1100_1^3 + 34325046770/2281053253*c_1100_1^2 - 9824335575/2281053253*c_1100_1 - 901377738/2281053253, c_1001_0 - 1, c_1001_1 + 2093500961/2281053253*c_1100_1^9 - 64998172083/18248426024*c_1100_1^8 - 26047845087/4562106506*c_1100_1^7 + 101408790287/9124213012*c_1100_1^6 + 53435153226/2281053253*c_1100_1^5 - 34270065871/18248426024*c_1100_1^4 - 45269466379/4562106506*c_1100_1^3 + 21964581533/4562106506*c_1100_1^2 + 4879037745/2281053253*c_1100_1 - 7263349605/4562106506, c_1001_2 + 154106921569/9124213012*c_1100_1^9 + 360043672611/18248426024*c_1100_1^8 - 605886322399/9124213012*c_1100_1^7 - 1308176217527/9124213012*c_1100_1^6 - 304186768553/9124213012*c_1100_1^5 + 1295123995899/18248426024*c_1100_1^4 + 70035305689/9124213012*c_1100_1^3 - 59109658904/2281053253*c_1100_1^2 - 7635493991/4562106506*c_1100_1 + 6408331157/4562106506, c_1100_1^10 + 64/67*c_1100_1^9 - 279/67*c_1100_1^8 - 516/67*c_1100_1^7 - 15/67*c_1100_1^6 + 320/67*c_1100_1^5 - 17/67*c_1100_1^4 - 124/67*c_1100_1^3 + 16/67*c_1100_1^2 + 16/67*c_1100_1 - 4/67 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.010 Total time: 1.219 seconds, Total memory usage: 32.09MB