Magma V2.19-8 Wed Aug 21 2013 00:54:55 on localhost [Seed = 189600073] Type ? for help. Type -D to quit. Loading file "L12n764__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n764 geometric_solution 11.96920816 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 -1 0 1 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423104383189 0.575343633197 0 5 7 6 0132 0132 0132 0132 1 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 0 1 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683543109593 0.833450322818 8 0 9 6 0132 0132 0132 2031 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 0 0 0 0 0 0 0 1 0 -1 0 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 0.019743724529 0.997373173338 8 5 6 0 2031 1230 0132 0132 1 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510139278468 0.652347396607 10 11 0 7 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.459714761126 1.454879978097 11 1 3 9 0321 0132 3012 0132 1 1 1 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 0.423899344006 0.882071361663 11 2 1 3 2031 1302 0132 0132 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 -1 0 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 0.736056379010 0.980206090215 10 12 4 1 3120 0132 0132 0132 1 1 1 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 1 0 0 -1 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612584741661 0.572858658852 2 11 3 12 0132 0321 1302 0213 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 0.846208766379 1.150687266394 10 12 5 2 1302 0213 0132 0132 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 1 0 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575756464152 0.884668676665 4 9 12 7 0132 2031 1302 3120 1 1 1 1 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 -1 0 1 0 0 1 -1 1 -5 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178076460628 0.443868370621 5 4 6 8 0321 0132 1302 0321 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 1 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 0.603070055645 1.093707405393 10 7 9 8 2031 0132 0213 0213 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 0 0 0 0 0 0 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516557803384 0.241523743725 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_6']), 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(d['c_1001_3']), 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_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_1001_2'], '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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_10']), 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : 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_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_1, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 11692952816898643339/3699817195782221916*c_1100_0^9 + 868997036617699699957/99895064286119991732*c_1100_0^8 + 202204183248458368418/8324588690509999311*c_1100_0^7 + 433437294000191784041/16649177381019998622*c_1100_0^6 + 3559430005318180315223/99895064286119991732*c_1100_0^5 + 997879986590235394097/33298354762039997244*c_1100_0^4 + 801718409913934289363/24973766071529997933*c_1100_0^3 + 68067049644405147995/5549725793673332874*c_1100_0^2 + 482309803376037768433/99895064286119991732*c_1100_0 + 9094661688746629889/2774862896836666437, c_0011_0 - 1, c_0011_10 - 6848840024901/7983999265829*c_1100_0^9 - 15678443690797/7983999265829*c_1100_0^8 - 41185629807239/7983999265829*c_1100_0^7 - 28555810269496/7983999265829*c_1100_0^6 - 39959074839220/7983999265829*c_1100_0^5 - 34623904788724/7983999265829*c_1100_0^4 - 33008251303215/7983999265829*c_1100_0^3 - 4292315189722/7983999265829*c_1100_0^2 + 5918918912316/7983999265829*c_1100_0 - 10033915460846/7983999265829, c_0011_12 + 5578889391720/7983999265829*c_1100_0^9 + 30111734519798/23951997797487*c_1100_0^8 + 81089808521713/23951997797487*c_1100_0^7 + 9724973345522/23951997797487*c_1100_0^6 + 14463413594544/7983999265829*c_1100_0^5 - 14624196363805/23951997797487*c_1100_0^4 + 8521815801940/7983999265829*c_1100_0^3 - 24554238116440/7983999265829*c_1100_0^2 - 3862029991577/7983999265829*c_1100_0 + 5236813443979/7983999265829, c_0011_3 + 5200358555016/7983999265829*c_1100_0^9 + 11431912409431/7983999265829*c_1100_0^8 + 30530078410772/7983999265829*c_1100_0^7 + 14240721197407/7983999265829*c_1100_0^6 + 21902153504047/7983999265829*c_1100_0^5 + 3613609045013/7983999265829*c_1100_0^4 + 18024251308673/7983999265829*c_1100_0^3 - 17328440848155/7983999265829*c_1100_0^2 - 14052341392730/7983999265829*c_1100_0 + 1876332983985/7983999265829, c_0011_6 - 4585127089221/7983999265829*c_1100_0^9 - 8132401933246/7983999265829*c_1100_0^8 - 22588220860250/7983999265829*c_1100_0^7 - 4903401078995/7983999265829*c_1100_0^6 - 16541167820218/7983999265829*c_1100_0^5 - 860966399887/7983999265829*c_1100_0^4 - 4531197499242/7983999265829*c_1100_0^3 + 18285963124078/7983999265829*c_1100_0^2 + 13670645129534/7983999265829*c_1100_0 - 5281328138436/7983999265829, c_0101_0 + 1564621495830/7983999265829*c_1100_0^9 - 404060126915/7983999265829*c_1100_0^8 + 1820585484841/7983999265829*c_1100_0^7 - 15795824893205/7983999265829*c_1100_0^6 - 682127197679/7983999265829*c_1100_0^5 - 15309973034451/7983999265829*c_1100_0^4 - 3623221574338/7983999265829*c_1100_0^3 - 19505425967510/7983999265829*c_1100_0^2 + 7328413744795/7983999265829*c_1100_0 + 2687506968897/7983999265829, c_0101_1 - 1, c_0101_2 + 1, c_0101_3 - c_1100_0, c_1001_1 - 2630945498139/7983999265829*c_1100_0^9 - 5877496913340/7983999265829*c_1100_0^8 - 19058469739023/7983999265829*c_1100_0^7 - 16323795560591/7983999265829*c_1100_0^6 - 34230693542723/7983999265829*c_1100_0^5 - 17148942954007/7983999265829*c_1100_0^4 - 29834292687525/7983999265829*c_1100_0^3 + 1633572043012/7983999265829*c_1100_0^2 - 12357784404969/7983999265829*c_1100_0 + 423316877727/7983999265829, c_1001_2 - 10412409006756/7983999265829*c_1100_0^9 - 21301941858893/7983999265829*c_1100_0^8 - 61245621660958/7983999265829*c_1100_0^7 - 33887073023925/7983999265829*c_1100_0^6 - 69730926243868/7983999265829*c_1100_0^5 - 32204311379262/7983999265829*c_1100_0^4 - 58622920191863/7983999265829*c_1100_0^3 + 15840240512183/7983999265829*c_1100_0^2 - 8544500391998/7983999265829*c_1100_0 + 782434631346/7983999265829, c_1001_3 + 6149748585051/7983999265829*c_1100_0^9 + 7728341806331/7983999265829*c_1100_0^8 + 24408806345091/7983999265829*c_1100_0^7 - 10892423814210/7983999265829*c_1100_0^6 + 15859040622539/7983999265829*c_1100_0^5 - 14449006634564/7983999265829*c_1100_0^4 + 907975924904/7983999265829*c_1100_0^3 - 37791389091588/7983999265829*c_1100_0^2 + 1641767881090/7983999265829*c_1100_0 + 7968835107333/7983999265829, c_1100_0^10 + 64/27*c_1100_0^9 + 176/27*c_1100_0^8 + 133/27*c_1100_0^7 + 65/9*c_1100_0^6 + 112/27*c_1100_0^5 + 52/9*c_1100_0^4 - 7/9*c_1100_0^3 - 1/3*c_1100_0^2 + 1/3*c_1100_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB