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{'abvar_count': 11056, 'abvar_counts': [11056, 172827392, 1804149689104, 21906571541282816, 266897014803955780336, 3244276850207116656036608, 39470378536591620369674305232, 480247839534178615612085261828096, 5843199938717303690128749122976246448, 71094349358584921019950259596026236832512], 'abvar_counts_str': '11056 172827392 1804149689104 21906571541282816 266897014803955780336 3244276850207116656036608 39470378536591620369674305232 480247839534178615612085261828096 5843199938717303690128749122976246448 71094349358584921019950259596026236832512 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.256298422613282, 0.476221530257121, 0.614016094523462], 'center_dim': 6, 'curve_count': 20, 'curve_counts': [20, 612, 12188, 279740, 6442660, 148041636, 3404721452, 78310508412, 1801149237812, 41426511544292], 'curve_counts_str': '20 612 12188 279740 6442660 148041636 3404721452 78310508412 1801149237812 41426511544292 ', 'curves': ['y^2=x^8+7*x^7+x^6+15*x^5+12*x^4+19*x^3+22*x^2+18*x+21', 'y^2=x^8+6*x^7+12*x^6+11*x^5+2*x^4+19*x^3+20*x^2+15*x+12', 'y^2=x^8+5*x^7+14*x^6+6*x^5+16*x^4+6*x^3+15*x^2+x+2', 'y^2=x^8+10*x^7+7*x^6+14*x^5+12*x^4+14*x^3+11*x^2+4*x+5', 'y^2=x^8+x^7+12*x^6+9*x^5+8*x^4+14*x^3+16*x^2+10*x+20', 'y^2=x^7+20*x^6+9*x^5+3*x^4+13*x^3+19*x^2+12*x+15', 'y^2=22*x^7+7*x^6+13*x^5+9*x^4+17*x^3+16*x^2+13*x+2', 'y^2=22*x^7+5*x^6+2*x^5+15*x^4+20*x^3+15*x^2+17*x+17', 'y^2=22*x^8+18*x^7+3*x^6+14*x^5+10*x^4+16*x^3+11*x^2+3*x+10', 'y^2=22*x^8+3*x^7+6*x^6+11*x^5+12*x^4+2*x^3+19*x^2+13*x+14', 'y^2=22*x^8+13*x^7+11*x^6+7*x^5+5*x^4+6*x^2+8*x+18', 'y^2=22*x^7+20*x^6+12*x^4+2*x^3+21*x^2+7*x+10', 'y^2=x^8+2*x^7+8*x^6+4*x^5+10*x^4+19*x^3+14*x^2+6*x+18', 'y^2=22*x^8+7*x^7+6*x^6+6*x^5+8*x^4+17*x^3+14*x^2+13*x+14', 'y^2=22*x^8+15*x^7+13*x^6+7*x^5+7*x^4+16*x^3+15*x^2+22*x+20', 'y^2=22*x^8+15*x^7+16*x^6+5*x^5+4*x^4+18*x^3+18*x^2+20*x+20', 'y^2=22*x^8+5*x^7+8*x^6+18*x^5+x^4+5*x^3+21*x^2+9', 'y^2=22*x^7+20*x^6+21*x^5+18*x^4+2*x^3+5*x^2+20*x+15', 'y^2=x^8+7*x^7+13*x^6+21*x^5+8*x^4+7*x^3+13*x^2+21*x+7', 'y^2=22*x^8+5*x^7+7*x^6+14*x^5+9*x^4+5*x^3+7*x^2+14*x+10', 'y^2=x^8+15*x^7+11*x^6+15*x^4+15*x^3+11*x^2+14', 'y^2=22*x^8+19*x^7+7*x^6+22*x^5+15*x^4+19*x^3+7*x^2+22*x+16', 'y^2=22*x^8+9*x^7+13*x^6+19*x^5+5*x^4+9*x^3+13*x^2+19*x+6', 'y^2=22*x^8+15*x^7+7*x^6+x^5+5*x^4+15*x^3+7*x^2+x+6', 'y^2=x^8+3*x^7+9*x^6+2*x^5+8*x^4+3*x^3+9*x^2+2*x+7', 'y^2=22*x^8+4*x^7+14*x^6+2*x^5+11*x^4+4*x^3+14*x^2+2*x+12', 'y^2=22*x^8+22*x^7+21*x^4+22*x^3+22', 'y^2=22*x^7+21*x^6+9*x^5+21*x^4+22*x^3+21*x^2+9*x+21', 'y^2=x^8+5*x^6+5*x^5+12*x^4+5*x^2+5*x+11', 'y^2=x^8+14*x^7+19*x^6+14*x^5+12*x^4+12*x^3+9*x^2+20*x+9', 'y^2=22*x^8+16*x^7+14*x^6+9*x^5+x^4+20*x^3+18*x^2+6*x+5', 'y^2=22*x^8+9*x^7+10*x^6+14*x^5+20*x^4+14*x^3+21*x^2+5*x+10', 'y^2=x^8+13*x^7+18*x^6+20*x^5+3*x^4+20*x^3+2*x^2+7*x+8', 'y^2=22*x^8+14*x^7+19*x^6+7*x^5+19*x^4+7*x^3+20*x^2+16*x', 'y^2=x^8+6*x^7+10*x^6+21*x^5+3*x^4+21*x^3+2*x^2+15*x+16', 'y^2=22*x^8+x^7+15*x^6+6*x^5+6*x^4+6*x^3+7*x^2+5*x+14', 'y^2=x^8+9*x^7+22*x^6+17*x^5+3*x^4+17*x^3+2*x^2+8*x+4', 'y^2=22*x^8+11*x^7+10*x^6+13*x^5+11*x^4+13*x^3+12*x^2+2*x+1', 'y^2=22*x^8+7*x^7+13*x^6+15*x^5+22*x^4+15*x^3+8*x+9', 'y^2=22*x^8+17*x^7+3*x^6+15*x^5+9*x^4+15*x^3+10*x^2+21*x+6', 'y^2=22*x^8+14*x^7+17*x^6+17*x^5+5*x^4+8*x^3+19*x^2+21*x+15', 'y^2=x^8+10*x^7+19*x^6+x^5+2*x^4+15*x^3+13*x^2+17*x+22', 'y^2=22*x^7+3*x^5+8*x^4+17*x^3+18*x^2+6*x+7', 'y^2=22*x^8+20*x^7+22*x^6+6*x^5+6*x^4+2*x^3+14*x^2+4*x+11', 'y^2=22*x^8+21*x^7+8*x^6+8*x^5+21*x^4+14*x^3+9*x^2+22*x+9', 'y^2=22*x^8+18*x^7+9*x^6+20*x^5+21*x^4+12*x^3+7*x^2+9*x+2', 'y^2=22*x^8+21*x^7+16*x^6+10*x^5+14*x^4+13*x^3+8*x^2+8*x+7', 'y^2=22*x^8+21*x^7+17*x^6+2*x^5+21*x^3+17*x^2+2*x+1', 'y^2=x^8+8*x^7+10*x^6+14*x^5+8*x^3+10*x^2+14*x+22', 'y^2=x^8+11*x^7+2*x^6+17*x^5+13*x^4+11*x^3+2*x^2+17*x+12', 'y^2=22*x^8+21*x^7+12*x^6+19*x^5+7*x^4+21*x^3+12*x^2+19*x+8', 'y^2=x^8+x^6+3*x^5+16*x^4+3*x^3+15*x^2+3*x+15', 'y^2=22*x^8+21*x^7+9*x^6+x^5+16*x^4+x^3+17*x^2+3*x+7', 'y^2=x^8+x^7+8*x^6+20*x^5+2*x^4+20*x^3+x^2+19*x+17', 'y^2=x^8+x^7+10*x^6+3*x^5+17*x^4+3*x^3+16*x^2+2*x+7', 'y^2=22*x^8+22*x^7+4*x^6+10*x^5+17*x^4+10*x^3+18*x^2+11*x+13', 'y^2=x^8+x^7+6*x^6+14*x^5+17*x^4+14*x^3+16*x^2+13*x+11', 'y^2=22*x^8+18*x^7+8*x^6+4*x^5+18*x^4+4*x^3+19*x^2+9*x+10', 'y^2=22*x^8+8*x^7+9*x^6+15*x^5+x^4+14*x^3+6*x^2+14*x+14', 'y^2=22*x^8+9*x^7+18*x^6+19*x^5+18*x^4+11*x^3+12*x^2+x+15', 'y^2=x^7+13*x^6+8*x^5+x^4+12*x^3+20*x^2+11*x+20', 'y^2=x^7+3*x^6+18*x^5+22*x^4+10*x^3+18*x^2+20*x+16', 'y^2=x^7+4*x^6+22*x^5+6*x^4+19*x^3+11*x^2+20*x+7', 'y^2=22*x^8+20*x^7+21*x^6+5*x^5+3*x^4+4*x^3+21*x^2+16*x+3', 'y^2=x^8+11*x^7+13*x^6+20*x^5+11*x^4+2*x^3+11*x^2+18*x+10', 'y^2=22*x^8+19*x^7+15*x^6+2*x^5+x^4+18*x^2+18*x+2', 'y^2=22*x^7+22*x^6+13*x^5+11*x^4+7*x^2+18*x+5', 'y^2=22*x^8+22*x^7+13*x^6+18*x^5+11*x^4+x^3+13*x^2+x+13', 'y^2=22*x^7+5*x^6+5*x^5+20*x^4+18*x^3+9*x^2+13*x+13', 'y^2=x^8+2*x^7+10*x^6+14*x^5+21*x^4+15*x^3+x^2+15*x+11', 'y^2=x^8+8*x^7+13*x^6+5*x^5+11*x^4+7*x^3+18*x^2+3*x+21', 'y^2=22*x^8+18*x^7+20*x^6+x^5+18*x^4+14*x^3+16*x^2+x+7', 'y^2=22*x^8+2*x^7+21*x^6+6*x^5+15*x^4+14*x^3+21*x+4', 'y^2=x^8+22*x^7+8*x^6+17*x^5+14*x^4+16*x^3+17*x^2+19*x+11', 'y^2=22*x^8+12*x^7+4*x^6+18*x^5+3*x^4+18*x^3+22*x^2+17*x+6', 'y^2=22*x^8+13*x^7+8*x^6+16*x^5+10*x^4+10*x^3+13*x^2+21*x+8', 'y^2=x^7+x^6+13*x^5+6*x^4+3*x^3+17*x^2+18*x+17', 'y^2=22*x^8+11*x^7+15*x^6+19*x^5+22*x^4+6*x^3+8*x^2+9*x+15', 'y^2=22*x^8+9*x^7+19*x^6+17*x^5+16*x^4+20*x^3+21*x^2+11*x+18', 'y^2=22*x^8+8*x^7+18*x^6+9*x^5+19*x^4+21*x^3+7*x^2+16*x+11', 'y^2=x^8+16*x^7+2*x^6+12*x^5+22*x^4+4*x^3+9*x^2+9*x+7', 'y^2=x^8+14*x^7+12*x^6+3*x^5+12*x^4+7*x^3+10*x^2+13*x+20', 'y^2=22*x^8+6*x^7+16*x^6+2*x^4+4*x^3+14*x^2+20*x', 'y^2=x^8+16*x^7+14*x^5+3*x^4+16*x^3+15*x^2+16*x+11', 'y^2=22*x^8+20*x^7+11*x^5+8*x^4+18*x^3+17*x^2+18*x+14', 'y^2=22*x^8+13*x^7+13*x^6+9*x^5+22*x^4+19*x^3+15*x^2+5*x+15', 'y^2=22*x^8+2*x^7+6*x^6+3*x^5+11*x^4+4*x^3+18*x^2+5*x+12', 'y^2=22*x^8+2*x^7+8*x^6+15*x^5+4*x^4+18*x^3+22*x^2+19*x+5', 'y^2=x^8+x^7+4*x^6+15*x^4+10*x^3+21*x^2+21*x+19', 'y^2=x^8+6*x^7+15*x^6+4*x^5+x^4+17*x^3+5*x^2+15*x+17', 'y^2=22*x^8+20*x^6+9*x^5+19*x^4+2*x^3+19*x^2+7*x+17', 'y^2=x^8+6*x^6+18*x^5+7*x^4+14*x^3+12*x^2+x+21', 'y^2=22*x^7+16*x^6+18*x^5+17*x^4+22*x^3+13*x^2+17*x+14', 'y^2=22*x^8+21*x^7+19*x^6+3*x^5+7*x^4+13*x^3+18*x^2+3*x+4', 'y^2=22*x^8+x^7+2*x^6+22*x^5+15*x^4+21*x^3+13*x^2+3*x+3', 'y^2=x^7+15*x^6+16*x^5+22*x^4+20*x^3+7*x^2+7*x+17', 'y^2=22*x^8+16*x^7+14*x^6+2*x^5+21*x^4+22*x^3+x^2+12*x+19', 'y^2=22*x^7+2*x^6+8*x^5+13*x^4+15*x^3+x^2+12*x', 'y^2=x^8+9*x^7+7*x^6+13*x^5+8*x^4+12*x^3+14*x^2+20*x+5', 'y^2=x^8+5*x^7+2*x^6+19*x^5+15*x^4+8*x^3+12*x^2+7*x+22', 'y^2=22*x^8+18*x^7+17*x^6+13*x^5+17*x^4+4*x^3+8*x^2+6*x+16', 'y^2=22*x^8+22*x^7+15*x^6+6*x^5+16*x^4+18*x^3+19*x^2+15*x+17', 'y^2=22*x^8+21*x^6+13*x^5+16*x^4+12*x^3+8*x^2+2*x+8', 'y^2=22*x^8+4*x^7+18*x^6+2*x^5+8*x^4+7*x^3+21*x+20', 'y^2=22*x^8+2*x^7+5*x^6+19*x^5+7*x^4+8*x^3+19*x^2+9*x+2', 'y^2=22*x^8+7*x^7+8*x^6+8*x^5+10*x^4+3*x^3+15*x^2+2*x+13', 'y^2=22*x^8+14*x^7+21*x^6+22*x^5+20*x^4+13*x^3+22*x^2+17*x+9', 'y^2=x^8+4*x^7+16*x^5+14*x^4+20*x^3+6*x^2+17*x+5', 'y^2=22*x^8+18*x^7+13*x^6+9*x^3+18*x^2+x+20', 'y^2=22*x^8+14*x^6+21*x^5+22*x^4+15*x^3+5*x^2+15*x+22', 'y^2=22*x^8+6*x^7+22*x^6+3*x^5+18*x^4+5*x^3+11*x^2+2*x+10', 'y^2=22*x^8+17*x^7+11*x^6+12*x^5+19*x^4+4*x^3+14*x^2+15*x+14', 'y^2=x^8+17*x^6+11*x^5+5*x^4+8*x^3+3*x^2+5*x+8', 'y^2=x^8+10*x^7+7*x^6+11*x^5+11*x^4+6*x^3+3*x^2+8*x+15', 'y^2=22*x^8+7*x^7+20*x^6+12*x^5+3*x^4+10*x^3+22*x^2+2*x+12', 'y^2=x^8+19*x^7+2*x^6+15*x^5+19*x^4+4*x^3+16*x^2+14*x+22', 'y^2=22*x^8+16*x^7+16*x^6+12*x^5+10*x^4+6*x^3+22*x^2+20*x+2', 'y^2=x^8+21*x^7+5*x^6+20*x^5+20*x^4+8*x^3+17*x^2+8*x+13', 'y^2=22*x^8+11*x^7+5*x^6+2*x^5+16*x^4+22*x^3+16*x^2+19*x+11', 'y^2=22*x^8+22*x^7+22*x^6+3*x^5+15*x^4+16*x^3+12*x^2+12*x+1', 'y^2=22*x^8+15*x^7+16*x^6+5*x^5+3*x^4+5*x^3+4*x^2+5*x+16', 'y^2=x^8+3*x^6+17*x^5+21*x^4+6*x^3+6*x^2+8*x+6', 'y^2=22*x^8+18*x^7+7*x^6+3*x^5+13*x^4+17*x^3+5*x^2+3*x+2', 'y^2=22*x^8+9*x^7+5*x^6+8*x^5+8*x^4+4*x^3+16*x^2+2*x+6', 'y^2=22*x^8+22*x^7+18*x^6+9*x^5+16*x^4+10*x^3+12*x^2+4*x+17', 'y^2=x^8+6*x^7+17*x^6+9*x^5+12*x^4+19*x^3+13*x^2+22*x+5', 'y^2=x^8+21*x^7+11*x^6+22*x^5+14*x^4+19*x^3+3*x^2+4*x+21', 'y^2=22*x^8+14*x^7+11*x^6+4*x^5+15*x^4+x^3+15*x^2+22*x+19', 'y^2=22*x^8+20*x^7+3*x^6+22*x^5+13*x^4+14*x^3+8*x^2+22*x+20', 'y^2=x^8+4*x^7+18*x^6+22*x^5+x^4+20*x^3+18*x^2+8*x+17', 'y^2=x^8+2*x^7+19*x^5+21*x^4+10*x^3+13*x^2+2*x+15', 'y^2=x^8+3*x^7+13*x^6+13*x^5+18*x^4+17*x^3+12*x^2+15*x+9', 'y^2=22*x^8+21*x^7+6*x^6+20*x^5+5*x^4+16*x^3+6*x^2+9*x+16', 'y^2=22*x^8+19*x^7+16*x^6+16*x^5+11*x^4+7*x^2+8*x+6', 'y^2=22*x^8+18*x^7+18*x^6+5*x^5+6*x^4+22*x^3+4*x^2+10*x+4', 'y^2=22*x^8+18*x^7+21*x^6+18*x^5+8*x^4+13*x^3+6*x^2+5*x+14', 'y^2=x^8+16*x^7+10*x^6+18*x^5+x^4+3*x^3+16*x^2+14*x+9', 'y^2=x^8+14*x^7+16*x^6+10*x^5+15*x^4+19*x^3+4*x^2+11*x+5', 'y^2=x^8+8*x^7+2*x^6+20*x^5+12*x^4+4*x^3+15*x^2+13*x+7', 'y^2=22*x^8+21*x^7+19*x^6+12*x^5+16*x^4+19*x^3+4*x^2+12*x+19', 'y^2=22*x^8+22*x^7+22*x^5+x^4+22*x^3+x^2+11*x+10', 'y^2=x^8+18*x^7+19*x^6+21*x^5+2*x^4+22*x^3+6*x^2+8*x+6', 'y^2=x^8+8*x^7+4*x^6+18*x^5+22*x^4+18*x^2+9*x+21', 'y^2=22*x^8+18*x^6+10*x^5+17*x^4+17*x^3+8*x^2+5*x+5', 'y^2=x^8+5*x^7+16*x^6+21*x^5+14*x^4+17*x^3+17*x^2+8*x+18', 'y^2=x^8+22*x^7+12*x^6+9*x^5+x^4+18*x^3+19*x+5', 'y^2=x^8+7*x^7+21*x^6+21*x^5+5*x^4+10*x^2+6*x+15', 'y^2=22*x^8+7*x^7+17*x^6+8*x^5+10*x^4+6*x^3+14*x^2+x+15', 'y^2=22*x^8+2*x^7+3*x^6+16*x^5+6*x^4+8*x^3+10*x^2+22*x+19', 'y^2=x^8+22*x^7+9*x^6+2*x^5+18*x^4+2*x^3+13*x^2+x+22', 'y^2=x^8+20*x^7+7*x^5+3*x^4+9*x^3+17*x^2+14*x+1', 'y^2=22*x^8+12*x^7+18*x^6+14*x^5+15*x^4+10*x^3+19*x^2+12*x+19', 'y^2=22*x^8+12*x^7+7*x^6+18*x^5+20*x^4+14*x^3+11*x^2+9*x+1', 'y^2=22*x^8+22*x^7+13*x^6+10*x^5+18*x^4+4*x^3+10*x^2+15*x+10', 'y^2=x^8+8*x^7+3*x^6+6*x^5+x^4+7*x^3+14*x^2+14*x+9', 'y^2=22*x^8+22*x^6+22*x^5+4*x^4+12*x^3+3*x^2+10*x+17', 'y^2=22*x^8+2*x^7+5*x^6+11*x^5+13*x^4+15*x^3+7*x^2+22*x+7', 'y^2=22*x^8+4*x^7+2*x^6+15*x^5+14*x^4+22*x^3+x^2+9*x+17', 'y^2=x^8+13*x^7+11*x^6+10*x^5+19*x^4+14*x^3+21*x^2+2*x+7', 'y^2=x^8+9*x^7+6*x^6+22*x^5+18*x^4+10*x^3+20*x^2+21*x+18', 'y^2=x^8+x^7+5*x^6+18*x^5+21*x^4+7*x^3+14*x^2+12*x+7', 'y^2=22*x^8+10*x^7+19*x^6+3*x^5+4*x^4+17*x^3+13*x^2+x+13', 'y^2=22*x^8+16*x^7+14*x^6+12*x^5+13*x^4+17*x^3+4*x^2+19*x+15', 'y^2=22*x^8+19*x^7+16*x^6+9*x^5+x^4+11*x^3+21*x^2+20*x+13', 'y^2=x^8+20*x^7+x^6+10*x^5+22*x^4+14*x^3+13*x^2+9*x+14', 'y^2=x^8+x^7+18*x^6+2*x^5+3*x^4+19*x^3+x^2+11*x+20', 'y^2=x^8+4*x^7+6*x^6+12*x^5+11*x^4+3*x^3+15*x^2+19*x+18', 'y^2=x^8+10*x^7+20*x^6+21*x^5+22*x^4+2*x^3+3*x^2+15*x+13', 'y^2=x^8+21*x^7+10*x^6+10*x^5+22*x^4+22*x+14', 'y^2=x^8+14*x^7+22*x^6+16*x^5+21*x^4+20*x^3+14*x^2+18*x+3', 'y^2=22*x^8+17*x^7+5*x^6+12*x^5+x^4+13*x^3+16*x^2+14*x+17', 'y^2=22*x^8+12*x^7+13*x^6+12*x^5+19*x^4+9*x^3+17*x^2+19*x+8', 'y^2=22*x^8+5*x^7+10*x^6+2*x^5+17*x^4+x^3+22*x^2+21*x+16', 'y^2=x^8+20*x^7+20*x^6+13*x^5+3*x^4+21*x^3+7*x^2+12*x+7', 'y^2=x^8+14*x^7+x^6+7*x^5+4*x^4+3*x^2+8*x+21', 'y^2=x^8+20*x^7+22*x^6+3*x^5+5*x^4+20*x^3+6*x^2+9*x+22', 'y^2=22*x^8+16*x^7+4*x^6+9*x^5+16*x^4+6*x^3+17*x^2+18*x+4', 'y^2=x^8+8*x^7+6*x^6+16*x^5+11*x^4+5*x^3+4', 'y^2=x^8+18*x^7+7*x^6+15*x^5+17*x^3+13*x^2+15', 'y^2=22*x^8+5*x^7+13*x^6+19*x^5+2*x^4+5*x^3+11*x^2+15*x+14', 'y^2=22*x^8+7*x^7+2*x^6+6*x^5+18*x^4+3*x^3+18*x^2+4*x+13', 'y^2=22*x^8+5*x^7+13*x^6+7*x^5+9*x^3+7*x^2+4*x+17', 'y^2=22*x^8+7*x^7+15*x^6+10*x^5+10*x^4+19*x^3+8*x^2+14', 'y^2=x^8+13*x^7+5*x^6+14*x^5+11*x^4+20*x^3+4*x^2+2*x+14', 'y^2=x^8+10*x^7+19*x^6+19*x^5+18*x^4+9*x^3+19*x^2+5*x+7', 'y^2=22*x^8+2*x^7+13*x^6+10*x^5+12*x^4+5*x^3+22*x^2+21*x+5', 'y^2=x^8+10*x^7+13*x^6+5*x^5+14*x^4+7*x^3+15*x^2+16*x+2', 'y^2=22*x^8+6*x^7+14*x^6+x^5+17*x^4+18*x^3+19*x^2+3*x+9', 'y^2=x^8+2*x^7+12*x^6+x^5+8*x^4+12*x^3+12*x^2+14*x+12', 'y^2=22*x^8+4*x^7+10*x^6+2*x^5+5*x^4+10*x^2+2*x+6', 'y^2=22*x^8+14*x^7+12*x^6+5*x^5+21*x^4+16*x^3+13*x^2+18*x+21', 'y^2=22*x^8+12*x^6+4*x^5+3*x^4+2*x^3+17*x^2+11*x+5', 'y^2=22*x^8+18*x^7+6*x^6+3*x^5+22*x^4+7*x^3+6*x^2+x+3', 'y^2=x^8+15*x^7+14*x^6+16*x^5+14*x^4+12*x^3+2*x^2+18*x+10', 'y^2=x^8+5*x^7+x^6+14*x^5+4*x^4+3*x^3+5*x^2+21*x+7', 'y^2=22*x^8+11*x^7+13*x^6+9*x^5+11*x^4+2*x^3+x^2+x+12', 'y^2=22*x^8+7*x^5+4*x^4+11*x^3+22*x^2+8*x+13', 'y^2=22*x^8+10*x^6+13*x^5+14*x^4+10*x^3+16*x^2+16*x+9', 'y^2=22*x^8+14*x^7+17*x^6+17*x^5+2*x^4+2*x^3+5*x^2+17', 'y^2=x^8+10*x^7+10*x^6+4*x^5+6*x^4+11*x^3+22*x^2+7*x+20', 'y^2=22*x^8+8*x^7+x^6+18*x^5+13*x^4+15*x^2+11', 'y^2=22*x^8+2*x^7+x^6+15*x^5+15*x^4+20*x^2+18*x+12', 'y^2=x^8+11*x^7+20*x^6+8*x^4+3*x^3+12*x^2+x+18', 'y^2=x^8+3*x^7+4*x^6+7*x^5+17*x^4+18*x^2+8*x+20', 'y^2=22*x^8+9*x^7+16*x^6+13*x^5+16*x^4+19*x^3+12*x^2+7', 'y^2=22*x^8+18*x^7+18*x^6+7*x^5+19*x^4+18*x^3+17*x^2+19*x+8', 'y^2=x^8+x^7+10*x^6+21*x^5+15*x^4+5*x^3+9*x^2+4*x+22', 'y^2=22*x^8+x^6+11*x^5+20*x^4+15*x^3+18*x^2+12*x+7', 'y^2=x^8+4*x^7+13*x^6+20*x^5+9*x^4+19*x^3+2*x^2+x+22', 'y^2=22*x^8+13*x^7+6*x^6+2*x^5+20*x^4+19*x^3+13*x^2+19*x+8', 'y^2=x^8+2*x^7+21*x^6+13*x^5+20*x^4+8*x^3+18*x+6', 'y^2=22*x^8+14*x^7+14*x^6+20*x^5+9*x^4+11*x^3+2*x+11', 'y^2=22*x^8+11*x^7+10*x^6+11*x^5+18*x^4+22*x^3+16*x^2+x+19', 'y^2=22*x^8+12*x^7+9*x^5+12*x^4+11*x^3+7*x^2+2*x+7', 'y^2=22*x^8+19*x^7+15*x^5+6*x^4+17*x^3+16*x^2+19*x+21', 'y^2=22*x^8+22*x^7+15*x^6+3*x^5+3*x^4+16*x^3+8*x^2+7*x+15', 'y^2=22*x^8+6*x^7+9*x^6+15*x^5+19*x^4+8*x^3+19*x^2+14*x+11', 'y^2=22*x^8+3*x^6+2*x^5+17*x^4+5*x^3+5*x^2+12*x+20', 'y^2=x^8+12*x^7+9*x^4+10*x^3+16*x^2+4*x+22', 'y^2=22*x^8+9*x^7+21*x^6+12*x^5+11*x^4+18*x^3+10*x^2+5*x+13', 'y^2=x^8+18*x^7+10*x^6+17*x^5+21*x^4+4*x^2+16*x+4', 'y^2=x^8+3*x^7+3*x^6+17*x^5+5*x^4+7*x^3+22*x^2+4*x+6', 'y^2=x^8+16*x^7+6*x^6+16*x^5+16*x^4+5*x^3+16*x^2+20*x+17', 'y^2=x^8+4*x^7+16*x^6+11*x^5+5*x^4+9*x^3+11*x^2+5*x+18', 'y^2=22*x^8+11*x^7+12*x^6+22*x^5+6*x^4+13*x^3+14*x^2+17*x+11', 'y^2=22*x^8+13*x^7+12*x^6+7*x^5+15*x^4+21*x^3+6*x^2+10*x+11', 'y^2=22*x^8+5*x^7+2*x^6+x^5+12*x^4+15*x^3+10*x^2+14*x+20', 'y^2=22*x^8+10*x^7+14*x^6+22*x^5+x^4+11*x^3+15*x^2+16*x+5', 'y^2=22*x^8+12*x^7+3*x^6+19*x^5+10*x^4+22*x^3+18*x^2+x+14', 'y^2=x^8+13*x^7+9*x^6+17*x^5+7*x^4+16*x^3+x^2+10*x+12', 'y^2=x^8+2*x^7+7*x^6+15*x^5+10*x^4+21*x^3+13*x+9', 'y^2=x^8+16*x^7+x^6+14*x^5+22*x^4+8*x^3+6*x^2+14*x+4', 'y^2=22*x^8+21*x^7+10*x^6+7*x^5+3*x^4+16*x^3+10*x^2+7*x+14', 'y^2=x^8+9*x^7+15*x^6+13*x^5+12*x^4+10*x^3+10*x^2+6*x+4', 'y^2=22*x^8+9*x^7+2*x^6+21*x^5+12*x^4+19*x^3+16*x^2+15*x+9', 'y^2=x^8+6*x^6+11*x^5+12*x^4+22*x^3+9*x^2+x+19', 'y^2=22*x^8+4*x^7+8*x^6+16*x^5+16*x^4+22*x^3+2*x^2+2*x+7', 'y^2=x^8+18*x^7+7*x^6+13*x^5+18*x^4+5*x^3+13*x^2+15*x+19', 'y^2=x^8+14*x^7+11*x^6+5*x^5+9*x^4+12*x^3+15*x^2+5*x+19', 'y^2=x^8+21*x^7+3*x^6+22*x^5+20*x^4+15*x^3+17*x^2+22*x+4', 'y^2=x^8+18*x^7+6*x^6+12*x^5+19*x^4+22*x^3+x^2+7*x+14', 'y^2=x^8+3*x^7+18*x^6+13*x^5+7*x^4+2*x^3+5*x^2+8*x+21', 'y^2=x^8+11*x^7+19*x^6+11*x^5+6*x^4+8*x^2+12*x+21', 'y^2=x^8+20*x^7+18*x^6+5*x^5+22*x^4+16*x^3+21*x^2+6*x+21', 'y^2=x^8+3*x^7+22*x^5+12*x^4+8*x^3+4*x^2+3*x+5', 'y^2=22*x^8+13*x^7+17*x^6+18*x^5+16*x^4+5*x^3+x^2+22*x+10', 'y^2=22*x^8+13*x^7+8*x^6+22*x^5+13*x^4+15*x^3+x^2+3*x+10', 'y^2=22*x^8+2*x^7+4*x^5+11*x^4+15*x^3+17*x+19', 'y^2=x^8+11*x^7+5*x^6+15*x^5+18*x^4+7*x^3+21*x+21', 'y^2=22*x^8+4*x^7+16*x^6+10*x^5+2*x^4+22*x^3+19*x+11', 'y^2=22*x^8+18*x^7+20*x^6+6*x^5+3*x^4+17*x^3+16*x^2+4*x+21', 'y^2=22*x^8+8*x^7+12*x^6+9*x^5+22*x^4+4*x^3+5*x^2+16', 'y^2=x^8+12*x^7+7*x^6+2*x^4+22*x^3+5*x^2+6*x+22', 'y^2=22*x^8+16*x^6+11*x^5+4*x^4+6*x^3+11*x^2+18*x+7', 'y^2=x^8+2*x^7+12*x^6+3*x^5+13*x^4+22*x^3+21*x^2+20*x+19', 'y^2=x^8+11*x^7+2*x^6+9*x^5+20*x^4+17*x^3+17*x^2+10*x+1', 'y^2=22*x^8+10*x^7+22*x^6+12*x^5+18*x^4+15*x^3+19*x^2+8*x+17'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.4628232896.1'], 'geometric_splitting_field': '6.0.4628232896.1', 'geometric_splitting_polynomials': [[5516, 0, 976, 0, 55, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 257, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.23.ae_bx_agm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['6.0.4628232896.1'], 'p': 23, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -4, 49, -168, 1127, -2116, 12167], 'poly_str': '1 -4 49 -168 1127 -2116 12167 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, -4, -20, 16], 'simple_distinct': ['3.23.ae_bx_agm'], 'simple_factors': ['3.23.ae_bx_agmA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.4628232896.1', 'splitting_polynomials': [[5516, 0, 976, 0, 55, 0, 1]], 'twist_count': 2, 'twists': [['3.23.e_bx_gm', '3.529.de_exj_fcpg', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '3.23.ae_bx_agm', 'extension_degree': 1, 'extension_label': '3.23.ae_bx_agm', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '6.0.4628232896.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.23.ae_bx_agm', 'galois_group': '6T11', 'places': [['8', '1', '0', '0', '0', '0'], ['6', '13', '1', '0', '0', '0'], ['15', '1', '0', '0', '0', '0'], ['6', '10', '1', '0', '0', '0']]}