Magma V2.19-8 Wed Aug 21 2013 00:00:22 on localhost [Seed = 1090988152] Type ? for help. Type -D to quit. Loading file "L14n4802__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n4802 geometric_solution 10.31877867 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 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 1 -1 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 1.047717530387 0.903268822606 0 2 4 5 0132 3012 3012 0132 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 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 0.452490634070 0.472024306157 1 0 5 4 1230 0132 1230 1230 0 1 1 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 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 0.047717530387 0.903268822606 6 7 8 0 0132 0132 0132 0132 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 0 0 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 0.357471902209 1.416072918471 2 1 0 7 3012 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552773153294 0.524322111638 6 9 1 2 2103 0132 0132 3012 1 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 0 1 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 0.105546306587 1.048644223277 3 10 5 11 0132 0132 2103 0132 1 0 1 1 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 0 0 0 0 0 0.931534202167 0.941684071345 11 3 4 8 3120 0132 0132 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 -1 1 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 -0.952282469613 0.903268822606 9 9 7 3 3120 1230 0132 0132 0 0 1 1 0 1 0 -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 0 0 0 0 0 0 0 0 -1 0 1 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221608455847 0.442581843076 11 5 8 8 0132 0132 3012 3120 1 0 1 1 0 0 1 -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 -3 2 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 0.221608455847 0.442581843076 11 6 10 10 1302 0132 2031 1302 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 0.507806345867 0.301974611094 9 10 6 7 0132 2031 0132 3120 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526617611821 1.423511177511 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(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_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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'], '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_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 5748734328353185181332993/15168111278555136*c_1100_0^6 + 6089040142335556665117365/7584055639277568*c_1100_0^5 - 445587077827186973908545/632004636606464*c_1100_0^4 + 155803257604437434323957/474003477454848*c_1100_0^3 - 7400793139480180000103/86182450446336*c_1100_0^2 + 5657879679358772973803/474003477454848*c_1100_0 - 164151000964295346977/237001738727424, c_0011_0 - 1, c_0011_10 - 42866713194209/321999232*c_1100_0^6 + 46343454384403/160999616*c_1100_0^5 - 5291654188985/20124952*c_1100_0^4 + 5197600920999/40249904*c_1100_0^3 - 89876533829/2515619*c_1100_0^2 + 694989567/132401*c_1100_0 - 1603506897/5031238, c_0011_11 + 183151379233115/965997696*c_1100_0^6 - 30561191502259/80499808*c_1100_0^5 + 1578891427921/5031238*c_1100_0^4 - 16554541729121/120749712*c_1100_0^3 + 2015724823381/60374856*c_1100_0^2 - 1707670007/397203*c_1100_0 + 1151032701/5031238, c_0011_8 - 29727484434827/241499424*c_1100_0^6 + 116176862478949/482998848*c_1100_0^5 - 15646752691575/80499808*c_1100_0^4 + 5018675758651/60374856*c_1100_0^3 - 149756990068/7546857*c_1100_0^2 + 3982508431/1588812*c_1100_0 - 1978773643/15093714, c_0101_0 - 1, c_0101_1 - 22261679454563/482998848*c_1100_0^6 + 21598974441023/241499424*c_1100_0^5 - 1445022470059/20124952*c_1100_0^4 + 460618285283/15093714*c_1100_0^3 - 72878231553/10062476*c_1100_0^2 + 240724683/264802*c_1100_0 - 349616195/7546857, c_0101_11 + 4076528831831/160999616*c_1100_0^6 - 11353667412601/241499424*c_1100_0^5 + 1517924298019/40249904*c_1100_0^4 - 168364104855/10062476*c_1100_0^3 + 129439551181/30187428*c_1100_0^2 - 235702690/397203*c_1100_0 + 258027103/7546857, c_0101_7 + 22261679454563/241499424*c_1100_0^6 - 21598974441023/120749712*c_1100_0^5 + 1445022470059/10062476*c_1100_0^4 - 460618285283/7546857*c_1100_0^3 + 72878231553/5031238*c_1100_0^2 - 240724683/132401*c_1100_0 + 706779247/7546857, c_0101_8 + 628237023/34168*c_1100_0^6 - 2431250523/68336*c_1100_0^5 + 2013725329/68336*c_1100_0^4 - 462533069/34168*c_1100_0^3 + 62289867/17084*c_1100_0^2 - 2313401/4271*c_1100_0 + 146050/4271, c_0110_10 + 1654963757609/160999616*c_1100_0^6 - 28502889151429/482998848*c_1100_0^5 + 6520289831811/80499808*c_1100_0^4 - 1993465978453/40249904*c_1100_0^3 + 234016277335/15093714*c_1100_0^2 - 1934762623/794406*c_1100_0 + 2304473827/15093714, c_1001_2 - 22261679454563/482998848*c_1100_0^6 + 21598974441023/241499424*c_1100_0^5 - 1445022470059/20124952*c_1100_0^4 + 460618285283/15093714*c_1100_0^3 - 72878231553/10062476*c_1100_0^2 + 240724683/264802*c_1100_0 - 349616195/7546857, c_1100_0^7 - 775212/332929*c_1100_0^6 + 767596/332929*c_1100_0^5 - 419024/332929*c_1100_0^4 + 136208/332929*c_1100_0^3 - 26368/332929*c_1100_0^2 + 2816/332929*c_1100_0 - 128/332929 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB