Magma V2.19-8 Wed Aug 21 2013 01:07:23 on localhost [Seed = 711734050] Type ? for help. Type -D to quit. Loading file "L14n33251__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33251 geometric_solution 12.07380292 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463412404134 0.757156548148 0 5 4 6 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.300718825770 0.760570206935 7 0 9 8 0132 0132 0132 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 -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 -0.145404343711 1.337582703047 10 10 5 0 0132 1302 2031 0132 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 0 -1 1 0 0 0 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518916765512 0.684943675728 4 1 0 4 3012 1230 0132 1230 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 1.016117692676 1.130463746731 11 1 9 3 0132 0132 3120 1302 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 -1 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 0.795206909613 0.681448684579 12 9 1 12 0132 3120 0132 3201 1 1 1 1 0 -1 0 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 3 0 -3 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519769740518 0.605337929559 2 11 10 8 0132 0132 0213 3120 1 0 1 1 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 -2 0 2 1 0 -1 0 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346704596008 0.693859391813 7 12 2 11 3120 1230 0132 2103 1 0 1 1 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 0 -1 1 0 0 0 0 -2 0 0 2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132273221446 0.617922958247 11 6 5 2 2103 3120 3120 0132 1 0 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 1 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412494073066 0.388657901210 3 7 12 3 0132 0213 0132 2031 1 1 0 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 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686684048980 0.977668442495 5 7 9 8 0132 0132 2103 2103 1 0 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 2 0 -2 0 0 0 0 0 1 0 -1 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223793914192 0.646410595965 6 6 8 10 0132 2310 3012 0132 1 1 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269938561010 0.645941490642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : negation(d['1']), 's_3_0' : 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'], 'c_1100_12' : negation(d['c_1001_0']), '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_5']), '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_0011_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_12, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 75851576572126148208/1115830405435014283*c_1001_5^9 + 644277585087206662044/1115830405435014283*c_1001_5^8 - 2839503987109115502224/1115830405435014283*c_1001_5^7 + 1156825617013079418451/159404343633573469*c_1001_5^6 - 16445868204970273854168/1115830405435014283*c_1001_5^5 + 1378335938592937533957/65637082672647899*c_1001_5^4 - 23189078822020650236318/1115830405435014283*c_1001_5^3 + 2281443487448123659708/159404343633573469*c_1001_5^2 - 6720862958228523725139/1115830405435014283*c_1001_5 + 1349622735988877562379/1115830405435014283, c_0011_0 - 1, c_0011_10 + 149378832/309567637*c_1001_5^9 - 1287749733/309567637*c_1001_5^8 + 5761938835/309567637*c_1001_5^7 - 16692564511/309567637*c_1001_5^6 + 34492770404/309567637*c_1001_5^5 - 2958757452/18209861*c_1001_5^4 + 51371642182/309567637*c_1001_5^3 - 36570220239/309567637*c_1001_5^2 + 16615296756/309567637*c_1001_5 - 3520566090/309567637, c_0011_12 + 617520399363/8018730501211*c_1001_5^9 - 5817972636861/8018730501211*c_1001_5^8 + 28487973338143/8018730501211*c_1001_5^7 - 90629712225104/8018730501211*c_1001_5^6 + 206433793913057/8018730501211*c_1001_5^5 - 19990304174288/471690029483*c_1001_5^4 + 404021419289283/8018730501211*c_1001_5^3 - 338480446236586/8018730501211*c_1001_5^2 + 191904516894388/8018730501211*c_1001_5 - 60012714964130/8018730501211, c_0011_4 - 2231611037991/8018730501211*c_1001_5^9 + 19868680786875/8018730501211*c_1001_5^8 - 90349266097225/8018730501211*c_1001_5^7 + 265322021510564/8018730501211*c_1001_5^6 - 553585364963155/8018730501211*c_1001_5^5 + 48099296421474/471690029483*c_1001_5^4 - 839488599096297/8018730501211*c_1001_5^3 + 601992272920365/8018730501211*c_1001_5^2 - 274667209725335/8018730501211*c_1001_5 + 51240227653481/8018730501211, c_0011_8 - 319366527462/471690029483*c_1001_5^9 + 2828612607669/471690029483*c_1001_5^8 - 12875736673200/471690029483*c_1001_5^7 + 37885451504670/471690029483*c_1001_5^6 - 79286162431501/471690029483*c_1001_5^5 + 117442806120526/471690029483*c_1001_5^4 - 121348195563087/471690029483*c_1001_5^3 + 86833082430114/471690029483*c_1001_5^2 - 39325089340253/471690029483*c_1001_5 + 7714764074463/471690029483, c_0101_0 - 4456733178159/8018730501211*c_1001_5^9 + 39966561052113/8018730501211*c_1001_5^8 - 183860257025306/8018730501211*c_1001_5^7 + 547147442682830/8018730501211*c_1001_5^6 - 1158773104055855/8018730501211*c_1001_5^5 + 102506878602781/471690029483*c_1001_5^4 - 1833006000836937/8018730501211*c_1001_5^3 + 1335478892639163/8018730501211*c_1001_5^2 - 614998803175037/8018730501211*c_1001_5 + 133792126362968/8018730501211, c_0101_1 - 2941438857372/8018730501211*c_1001_5^9 + 26648003908047/8018730501211*c_1001_5^8 - 122463362742038/8018730501211*c_1001_5^7 + 362325569012482/8018730501211*c_1001_5^6 - 757693513661126/8018730501211*c_1001_5^5 + 65664953458321/471690029483*c_1001_5^4 - 1125814816854866/8018730501211*c_1001_5^3 + 765127782366391/8018730501211*c_1001_5^2 - 314730633246373/8018730501211*c_1001_5 + 47395923756126/8018730501211, c_0101_11 + 1382764697559/8018730501211*c_1001_5^9 - 13399499491659/8018730501211*c_1001_5^8 + 65731071228702/8018730501211*c_1001_5^7 - 208016153361216/8018730501211*c_1001_5^6 + 467160042255748/8018730501211*c_1001_5^5 - 44298679953867/471690029483*c_1001_5^4 + 855851217696775/8018730501211*c_1001_5^3 - 667608340437095/8018730501211*c_1001_5^2 + 327579785926600/8018730501211*c_1001_5 - 78357206561928/8018730501211, c_0101_12 + 2177391480921/8018730501211*c_1001_5^9 - 20547805633335/8018730501211*c_1001_5^8 + 98123995139538/8018730501211*c_1001_5^7 - 302294889276061/8018730501211*c_1001_5^6 + 660832323473762/8018730501211*c_1001_5^5 - 60792416015658/471690029483*c_1001_5^4 + 1136261096421416/8018730501211*c_1001_5^3 - 867364432697707/8018730501211*c_1001_5^2 + 430045003808021/8018730501211*c_1001_5 - 107989211301942/8018730501211, c_0101_2 - 1, c_0101_5 + 5250927661110/8018730501211*c_1001_5^9 - 45274752245472/8018730501211*c_1001_5^8 + 202078842583648/8018730501211*c_1001_5^7 - 583047890489958/8018730501211*c_1001_5^6 + 1196761215875233/8018730501211*c_1001_5^5 - 101503535896107/471690029483*c_1001_5^4 + 1724254787163079/8018730501211*c_1001_5^3 - 1183522210756087/8018730501211*c_1001_5^2 + 498957447702197/8018730501211*c_1001_5 - 98631381348795/8018730501211, c_1001_0 - 6810798742668/8018730501211*c_1001_5^9 + 60004585241946/8018730501211*c_1001_5^8 - 271714864385043/8018730501211*c_1001_5^7 + 794713067540915/8018730501211*c_1001_5^6 - 1651159745435938/8018730501211*c_1001_5^5 + 142305647737477/471690029483*c_1001_5^4 - 2456494464295212/8018730501211*c_1001_5^3 + 1712406197217208/8018730501211*c_1001_5^2 - 737097934615830/8018730501211*c_1001_5 + 138589147185396/8018730501211, c_1001_5^10 - 29/3*c_1001_5^9 + 427/9*c_1001_5^8 - 151*c_1001_5^7 + 1030/3*c_1001_5^6 - 5098/9*c_1001_5^5 + 6064/9*c_1001_5^4 - 1727/3*c_1001_5^3 + 3067/9*c_1001_5^2 - 1118/9*c_1001_5 + 193/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.570 seconds, Total memory usage: 32.09MB