Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(97,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bx (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.10 | ||
Character | \(\chi\) | \(=\) | 546.97 |
Dual form | 546.2.bx.a.349.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | + | 0.965926i | 0.183013 | + | 0.683013i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 2.46294 | + | 2.46294i | 1.10146 | + | 1.10146i | 0.994235 | + | 0.107225i | \(0.0341965\pi\) |
0.107225 | + | 0.994235i | \(0.465804\pi\) | |||||||
\(6\) | 0.258819 | − | 0.965926i | 0.105662 | − | 0.394338i | ||||
\(7\) | −1.38574 | + | 2.25383i | −0.523760 | + | 0.851866i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −1.74156 | + | 3.01647i | −0.550730 | + | 0.953892i | ||||
\(11\) | −5.73180 | + | 1.53583i | −1.72820 | + | 0.463071i | −0.979768 | − | 0.200137i | \(-0.935861\pi\) |
−0.748435 | + | 0.663208i | \(0.769194\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 2.00189 | − | 2.99874i | 0.555224 | − | 0.831701i | ||||
\(14\) | −2.53568 | − | 0.755188i | −0.677690 | − | 0.201832i | ||||
\(15\) | −0.901498 | − | 3.36444i | −0.232766 | − | 0.868694i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.681755 | + | 1.18083i | 0.165350 | + | 0.286394i | 0.936779 | − | 0.349920i | \(-0.113791\pi\) |
−0.771430 | + | 0.636315i | \(0.780458\pi\) | |||||||
\(18\) | −0.707107 | + | 0.707107i | −0.166667 | + | 0.166667i | ||||
\(19\) | −0.203136 | + | 0.758114i | −0.0466026 | + | 0.173923i | −0.985305 | − | 0.170806i | \(-0.945363\pi\) |
0.938702 | + | 0.344730i | \(0.112029\pi\) | |||||||
\(20\) | −3.36444 | − | 0.901498i | −0.752311 | − | 0.201581i | ||||
\(21\) | 2.32700 | − | 1.25900i | 0.507792 | − | 0.274736i | ||||
\(22\) | −2.96700 | − | 5.13899i | −0.632566 | − | 1.09564i | ||||
\(23\) | −0.338051 | − | 0.195174i | −0.0704884 | − | 0.0406965i | 0.464342 | − | 0.885656i | \(-0.346291\pi\) |
−0.534830 | + | 0.844960i | \(0.679624\pi\) | |||||||
\(24\) | 0.258819 | + | 0.965926i | 0.0528312 | + | 0.197169i | ||||
\(25\) | 7.13213i | 1.42643i | ||||||||
\(26\) | 3.41469 | + | 1.15755i | 0.669675 | + | 0.227013i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0.0731721 | − | 2.64474i | 0.0138282 | − | 0.499809i | ||||
\(29\) | −3.44143 | + | 5.96073i | −0.639057 | + | 1.10688i | 0.346583 | + | 0.938019i | \(0.387342\pi\) |
−0.985640 | + | 0.168860i | \(0.945991\pi\) | |||||||
\(30\) | 3.01647 | − | 1.74156i | 0.550730 | − | 0.317964i | ||||
\(31\) | −0.211182 | − | 0.211182i | −0.0379294 | − | 0.0379294i | 0.687888 | − | 0.725817i | \(-0.258538\pi\) |
−0.725817 | + | 0.687888i | \(0.758538\pi\) | |||||||
\(32\) | 0.965926 | + | 0.258819i | 0.170753 | + | 0.0457532i | ||||
\(33\) | 5.73180 | + | 1.53583i | 0.997778 | + | 0.267354i | ||||
\(34\) | −0.964147 | + | 0.964147i | −0.165350 | + | 0.165350i | ||||
\(35\) | −8.96402 | + | 2.13804i | −1.51520 | + | 0.361395i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | −5.84975 | + | 1.56744i | −0.961693 | + | 0.257685i | −0.705317 | − | 0.708892i | \(-0.749195\pi\) |
−0.256376 | + | 0.966577i | \(0.582528\pi\) | |||||||
\(38\) | −0.784857 | −0.127321 | ||||||||
\(39\) | −3.23306 | + | 1.59604i | −0.517703 | + | 0.255571i | ||||
\(40\) | − | 3.48312i | − | 0.550730i | ||||||
\(41\) | 3.49404 | − | 0.936225i | 0.545677 | − | 0.146214i | 0.0245592 | − | 0.999698i | \(-0.492182\pi\) |
0.521118 | + | 0.853485i | \(0.325515\pi\) | |||||||
\(42\) | 1.81837 | + | 1.92185i | 0.280581 | + | 0.296548i | ||||
\(43\) | 2.10364 | − | 1.21454i | 0.320803 | − | 0.185216i | −0.330948 | − | 0.943649i | \(-0.607368\pi\) |
0.651750 | + | 0.758434i | \(0.274035\pi\) | |||||||
\(44\) | 4.19597 | − | 4.19597i | 0.632566 | − | 0.632566i | ||||
\(45\) | −0.901498 | + | 3.36444i | −0.134387 | + | 0.501541i | ||||
\(46\) | 0.101029 | − | 0.377047i | 0.0148960 | − | 0.0555925i | ||||
\(47\) | −6.84615 | + | 6.84615i | −0.998614 | + | 0.998614i | −0.999999 | − | 0.00138548i | \(-0.999559\pi\) |
0.00138548 | + | 0.999999i | \(0.499559\pi\) | |||||||
\(48\) | −0.866025 | + | 0.500000i | −0.125000 | + | 0.0721688i | ||||
\(49\) | −3.15946 | − | 6.24643i | −0.451351 | − | 0.892346i | ||||
\(50\) | −6.88911 | + | 1.84593i | −0.974267 | + | 0.261054i | ||||
\(51\) | − | 1.36351i | − | 0.190930i | ||||||
\(52\) | −0.234317 | + | 3.59793i | −0.0324940 | + | 0.498943i | ||||
\(53\) | 9.73688 | 1.33746 | 0.668732 | − | 0.743504i | \(-0.266837\pi\) | ||||
0.668732 | + | 0.743504i | \(0.266837\pi\) | |||||||
\(54\) | 0.965926 | − | 0.258819i | 0.131446 | − | 0.0352208i | ||||
\(55\) | −17.8997 | − | 10.3344i | −2.41360 | − | 1.39349i | ||||
\(56\) | 2.57356 | − | 0.613830i | 0.343906 | − | 0.0820265i | ||||
\(57\) | 0.554978 | − | 0.554978i | 0.0735086 | − | 0.0735086i | ||||
\(58\) | −6.64833 | − | 1.78141i | −0.872969 | − | 0.233911i | ||||
\(59\) | 5.37683 | + | 1.44072i | 0.700004 | + | 0.187566i | 0.591232 | − | 0.806501i | \(-0.298642\pi\) |
0.108772 | + | 0.994067i | \(0.465308\pi\) | |||||||
\(60\) | 2.46294 | + | 2.46294i | 0.317964 | + | 0.317964i | ||||
\(61\) | −8.38542 | + | 4.84132i | −1.07364 | + | 0.619868i | −0.929174 | − | 0.369642i | \(-0.879480\pi\) |
−0.144468 | + | 0.989509i | \(0.546147\pi\) | |||||||
\(62\) | 0.149328 | − | 0.258644i | 0.0189647 | − | 0.0328478i | ||||
\(63\) | −2.64474 | − | 0.0731721i | −0.333206 | − | 0.00921882i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 12.3162 | − | 2.45518i | 1.52764 | − | 0.304528i | ||||
\(66\) | 5.93400i | 0.730425i | ||||||||
\(67\) | 1.38874 | + | 5.18284i | 0.169661 | + | 0.633185i | 0.997400 | + | 0.0720702i | \(0.0229606\pi\) |
−0.827738 | + | 0.561114i | \(0.810373\pi\) | |||||||
\(68\) | −1.18083 | − | 0.681755i | −0.143197 | − | 0.0826749i | ||||
\(69\) | 0.195174 | + | 0.338051i | 0.0234961 | + | 0.0406965i | ||||
\(70\) | −4.38525 | − | 8.10521i | −0.524138 | − | 0.968758i | ||||
\(71\) | 12.8877 | + | 3.45324i | 1.52948 | + | 0.409824i | 0.922850 | − | 0.385158i | \(-0.125853\pi\) |
0.606633 | + | 0.794982i | \(0.292520\pi\) | |||||||
\(72\) | 0.258819 | − | 0.965926i | 0.0305021 | − | 0.113835i | ||||
\(73\) | 5.09775 | − | 5.09775i | 0.596647 | − | 0.596647i | −0.342772 | − | 0.939419i | \(-0.611366\pi\) |
0.939419 | + | 0.342772i | \(0.111366\pi\) | |||||||
\(74\) | −3.02805 | − | 5.24474i | −0.352004 | − | 0.609689i | ||||
\(75\) | 3.56607 | − | 6.17661i | 0.411774 | − | 0.713213i | ||||
\(76\) | −0.203136 | − | 0.758114i | −0.0233013 | − | 0.0869616i | ||||
\(77\) | 4.48128 | − | 15.0467i | 0.510689 | − | 1.71474i | ||||
\(78\) | −2.37843 | − | 2.70981i | −0.269304 | − | 0.306825i | ||||
\(79\) | 9.25714 | 1.04151 | 0.520755 | − | 0.853706i | \(-0.325651\pi\) | ||||
0.520755 | + | 0.853706i | \(0.325651\pi\) | |||||||
\(80\) | 3.36444 | − | 0.901498i | 0.376155 | − | 0.100791i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.80865 | + | 3.13267i | 0.199732 | + | 0.345946i | ||||
\(83\) | 9.33819 | + | 9.33819i | 1.02500 | + | 1.02500i | 0.999679 | + | 0.0253199i | \(0.00806045\pi\) |
0.0253199 | + | 0.999679i | \(0.491940\pi\) | |||||||
\(84\) | −1.38574 | + | 2.25383i | −0.151196 | + | 0.245913i | ||||
\(85\) | −1.22920 | + | 4.58744i | −0.133326 | + | 0.497578i | ||||
\(86\) | 1.71762 | + | 1.71762i | 0.185216 | + | 0.185216i | ||||
\(87\) | 5.96073 | − | 3.44143i | 0.639057 | − | 0.368960i | ||||
\(88\) | 5.13899 | + | 2.96700i | 0.547818 | + | 0.316283i | ||||
\(89\) | 1.44141 | + | 5.37940i | 0.152789 | + | 0.570215i | 0.999285 | + | 0.0378199i | \(0.0120413\pi\) |
−0.846496 | + | 0.532395i | \(0.821292\pi\) | |||||||
\(90\) | −3.48312 | −0.367153 | ||||||||
\(91\) | 3.98454 | + | 8.66738i | 0.417693 | + | 0.908588i | ||||
\(92\) | 0.390347 | 0.0406965 | ||||||||
\(93\) | 0.0772979 | + | 0.288480i | 0.00801542 | + | 0.0299139i | ||||
\(94\) | −8.38479 | − | 4.84096i | −0.864825 | − | 0.499307i | ||||
\(95\) | −2.36750 | + | 1.36688i | −0.242900 | + | 0.140239i | ||||
\(96\) | −0.707107 | − | 0.707107i | −0.0721688 | − | 0.0721688i | ||||
\(97\) | 3.44763 | − | 12.8667i | 0.350054 | − | 1.30642i | −0.536541 | − | 0.843874i | \(-0.680269\pi\) |
0.886595 | − | 0.462546i | \(-0.153064\pi\) | |||||||
\(98\) | 5.21586 | − | 4.66850i | 0.526881 | − | 0.471589i | ||||
\(99\) | −4.19597 | − | 4.19597i | −0.421711 | − | 0.421711i | ||||
\(100\) | −3.56607 | − | 6.17661i | −0.356607 | − | 0.617661i | ||||
\(101\) | 8.86523 | − | 15.3550i | 0.882123 | − | 1.52788i | 0.0331469 | − | 0.999450i | \(-0.489447\pi\) |
0.848976 | − | 0.528431i | \(-0.177220\pi\) | |||||||
\(102\) | 1.31705 | − | 0.352902i | 0.130407 | − | 0.0349425i | ||||
\(103\) | −2.94833 | −0.290508 | −0.145254 | − | 0.989394i | \(-0.546400\pi\) | ||||
−0.145254 | + | 0.989394i | \(0.546400\pi\) | |||||||
\(104\) | −3.53598 | + | 0.704879i | −0.346731 | + | 0.0691191i | ||||
\(105\) | 8.83209 | + | 2.63041i | 0.861924 | + | 0.256702i | ||||
\(106\) | 2.52009 | + | 9.40511i | 0.244773 | + | 0.913505i | ||||
\(107\) | −1.37037 | + | 2.37355i | −0.132479 | + | 0.229460i | −0.924631 | − | 0.380863i | \(-0.875627\pi\) |
0.792153 | + | 0.610323i | \(0.208960\pi\) | |||||||
\(108\) | 0.500000 | + | 0.866025i | 0.0481125 | + | 0.0833333i | ||||
\(109\) | −5.77402 | + | 5.77402i | −0.553051 | + | 0.553051i | −0.927320 | − | 0.374269i | \(-0.877894\pi\) |
0.374269 | + | 0.927320i | \(0.377894\pi\) | |||||||
\(110\) | 5.34949 | − | 19.9646i | 0.510054 | − | 1.90355i | ||||
\(111\) | 5.84975 | + | 1.56744i | 0.555233 | + | 0.148774i | ||||
\(112\) | 1.25900 | + | 2.32700i | 0.118964 | + | 0.219881i | ||||
\(113\) | 3.17554 | + | 5.50020i | 0.298730 | + | 0.517415i | 0.975846 | − | 0.218461i | \(-0.0701037\pi\) |
−0.677116 | + | 0.735876i | \(0.736770\pi\) | |||||||
\(114\) | 0.679706 | + | 0.392429i | 0.0636603 | + | 0.0367543i | ||||
\(115\) | −0.351897 | − | 1.31330i | −0.0328146 | − | 0.122466i | ||||
\(116\) | − | 6.88286i | − | 0.639057i | ||||||
\(117\) | 3.59793 | + | 0.234317i | 0.332629 | + | 0.0216626i | ||||
\(118\) | 5.56651i | 0.512439i | ||||||||
\(119\) | −3.60613 | − | 0.0997709i | −0.330573 | − | 0.00914599i | ||||
\(120\) | −1.74156 | + | 3.01647i | −0.158982 | + | 0.275365i | ||||
\(121\) | 20.9685 | − | 12.1062i | 1.90623 | − | 1.10056i | ||||
\(122\) | −6.84666 | − | 6.84666i | −0.619868 | − | 0.619868i | ||||
\(123\) | −3.49404 | − | 0.936225i | −0.315047 | − | 0.0844166i | ||||
\(124\) | 0.288480 | + | 0.0772979i | 0.0259062 | + | 0.00694155i | ||||
\(125\) | −5.25131 | + | 5.25131i | −0.469692 | + | 0.469692i | ||||
\(126\) | −0.613830 | − | 2.57356i | −0.0546843 | − | 0.229271i | ||||
\(127\) | −11.2797 | − | 6.51235i | −1.00091 | − | 0.577877i | −0.0923947 | − | 0.995722i | \(-0.529452\pi\) |
−0.908518 | + | 0.417845i | \(0.862785\pi\) | |||||||
\(128\) | −0.965926 | + | 0.258819i | −0.0853766 | + | 0.0228766i | ||||
\(129\) | −2.42908 | −0.213868 | ||||||||
\(130\) | 5.55920 | + | 11.2611i | 0.487574 | + | 0.987666i | ||||
\(131\) | − | 22.5136i | − | 1.96702i | −0.180841 | − | 0.983512i | \(-0.557882\pi\) | ||
0.180841 | − | 0.983512i | \(-0.442118\pi\) | |||||||
\(132\) | −5.73180 | + | 1.53583i | −0.498889 | + | 0.133677i | ||||
\(133\) | −1.42716 | − | 1.50838i | −0.123751 | − | 0.130793i | ||||
\(134\) | −4.64681 | + | 2.68284i | −0.401423 | + | 0.231762i | ||||
\(135\) | 2.46294 | − | 2.46294i | 0.211976 | − | 0.211976i | ||||
\(136\) | 0.352902 | − | 1.31705i | 0.0302611 | − | 0.112936i | ||||
\(137\) | −5.53036 | + | 20.6396i | −0.472491 | + | 1.76336i | 0.158283 | + | 0.987394i | \(0.449404\pi\) |
−0.630774 | + | 0.775966i | \(0.717263\pi\) | |||||||
\(138\) | −0.276017 | + | 0.276017i | −0.0234961 | + | 0.0234961i | ||||
\(139\) | 13.2381 | − | 7.64304i | 1.12284 | − | 0.648274i | 0.180718 | − | 0.983535i | \(-0.442158\pi\) |
0.942125 | + | 0.335261i | \(0.108824\pi\) | |||||||
\(140\) | 6.69405 | − | 6.33361i | 0.565750 | − | 0.535288i | ||||
\(141\) | 9.35201 | − | 2.50586i | 0.787582 | − | 0.211032i | ||||
\(142\) | 13.3423i | 1.11966i | ||||||||
\(143\) | −6.86887 | + | 20.2627i | −0.574404 | + | 1.69446i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −23.1569 | + | 6.20488i | −1.92308 | + | 0.515288i | ||||
\(146\) | 6.24345 | + | 3.60466i | 0.516711 | + | 0.298323i | ||||
\(147\) | −0.387042 | + | 6.98929i | −0.0319227 | + | 0.576467i | ||||
\(148\) | 4.28231 | − | 4.28231i | 0.352004 | − | 0.352004i | ||||
\(149\) | 1.20776 | + | 0.323617i | 0.0989433 | + | 0.0265118i | 0.307951 | − | 0.951402i | \(-0.400357\pi\) |
−0.209008 | + | 0.977914i | \(0.567023\pi\) | |||||||
\(150\) | 6.88911 | + | 1.84593i | 0.562494 | + | 0.150720i | ||||
\(151\) | 10.7007 | + | 10.7007i | 0.870812 | + | 0.870812i | 0.992561 | − | 0.121749i | \(-0.0388504\pi\) |
−0.121749 | + | 0.992561i | \(0.538850\pi\) | |||||||
\(152\) | 0.679706 | − | 0.392429i | 0.0551315 | − | 0.0318302i | ||||
\(153\) | −0.681755 | + | 1.18083i | −0.0551166 | + | 0.0954648i | ||||
\(154\) | 15.6939 | + | 0.434203i | 1.26465 | + | 0.0349891i | ||||
\(155\) | − | 1.04026i | − | 0.0835553i | ||||||
\(156\) | 2.00189 | − | 2.99874i | 0.160279 | − | 0.240091i | ||||
\(157\) | 14.5407i | 1.16048i | 0.814447 | + | 0.580238i | \(0.197041\pi\) | ||||
−0.814447 | + | 0.580238i | \(0.802959\pi\) | |||||||
\(158\) | 2.39592 | + | 8.94171i | 0.190609 | + | 0.711364i | ||||
\(159\) | −8.43239 | − | 4.86844i | −0.668732 | − | 0.386093i | ||||
\(160\) | 1.74156 | + | 3.01647i | 0.137682 | + | 0.238473i | ||||
\(161\) | 0.908337 | − | 0.491447i | 0.0715870 | − | 0.0387315i | ||||
\(162\) | −0.965926 | − | 0.258819i | −0.0758903 | − | 0.0203347i | ||||
\(163\) | 4.75964 | − | 17.7632i | 0.372804 | − | 1.39132i | −0.483723 | − | 0.875221i | \(-0.660716\pi\) |
0.856527 | − | 0.516102i | \(-0.172617\pi\) | |||||||
\(164\) | −2.55781 | + | 2.55781i | −0.199732 | + | 0.199732i | ||||
\(165\) | 10.3344 | + | 17.8997i | 0.804533 | + | 1.39349i | ||||
\(166\) | −6.60310 | + | 11.4369i | −0.512500 | + | 0.887675i | ||||
\(167\) | 5.97631 | + | 22.3039i | 0.462460 | + | 1.72593i | 0.665174 | + | 0.746688i | \(0.268357\pi\) |
−0.202714 | + | 0.979238i | \(0.564976\pi\) | |||||||
\(168\) | −2.53568 | − | 0.755188i | −0.195632 | − | 0.0582640i | ||||
\(169\) | −4.98488 | − | 12.0063i | −0.383452 | − | 0.923561i | ||||
\(170\) | −4.74927 | −0.364252 | ||||||||
\(171\) | −0.758114 | + | 0.203136i | −0.0579744 | + | 0.0155342i | ||||
\(172\) | −1.21454 | + | 2.10364i | −0.0926078 | + | 0.160401i | ||||
\(173\) | 3.62516 | + | 6.27896i | 0.275616 | + | 0.477380i | 0.970290 | − | 0.241944i | \(-0.0777850\pi\) |
−0.694675 | + | 0.719324i | \(0.744452\pi\) | |||||||
\(174\) | 4.86692 | + | 4.86692i | 0.368960 | + | 0.368960i | ||||
\(175\) | −16.0746 | − | 9.88327i | −1.21512 | − | 0.747105i | ||||
\(176\) | −1.53583 | + | 5.73180i | −0.115768 | + | 0.432051i | ||||
\(177\) | −3.93612 | − | 3.93612i | −0.295857 | − | 0.295857i | ||||
\(178\) | −4.82304 | + | 2.78458i | −0.361502 | + | 0.208713i | ||||
\(179\) | −13.0221 | − | 7.51831i | −0.973317 | − | 0.561945i | −0.0730713 | − | 0.997327i | \(-0.523280\pi\) |
−0.900246 | + | 0.435382i | \(0.856613\pi\) | |||||||
\(180\) | −0.901498 | − | 3.36444i | −0.0671937 | − | 0.250770i | ||||
\(181\) | −7.96888 | −0.592322 | −0.296161 | − | 0.955138i | \(-0.595707\pi\) | ||||
−0.296161 | + | 0.955138i | \(0.595707\pi\) | |||||||
\(182\) | −7.34077 | + | 6.09205i | −0.544134 | + | 0.451573i | ||||
\(183\) | 9.68265 | 0.715762 | ||||||||
\(184\) | 0.101029 | + | 0.377047i | 0.00744798 | + | 0.0277962i | ||||
\(185\) | −18.2681 | − | 10.5471i | −1.34309 | − | 0.775436i | ||||
\(186\) | −0.258644 | + | 0.149328i | −0.0189647 | + | 0.0109493i | ||||
\(187\) | −5.72125 | − | 5.72125i | −0.418379 | − | 0.418379i | ||||
\(188\) | 2.50586 | − | 9.35201i | 0.182759 | − | 0.682066i | ||||
\(189\) | 2.25383 | + | 1.38574i | 0.163942 | + | 0.100798i | ||||
\(190\) | −1.93306 | − | 1.93306i | −0.140239 | − | 0.140239i | ||||
\(191\) | −4.43523 | − | 7.68204i | −0.320922 | − | 0.555853i | 0.659757 | − | 0.751479i | \(-0.270659\pi\) |
−0.980679 | + | 0.195626i | \(0.937326\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | 3.54651 | − | 0.950284i | 0.255283 | − | 0.0684030i | −0.128908 | − | 0.991657i | \(-0.541147\pi\) |
0.384191 | + | 0.923254i | \(0.374480\pi\) | |||||||
\(194\) | 13.3206 | 0.956366 | ||||||||
\(195\) | −11.8938 | − | 4.03187i | −0.851730 | − | 0.288728i | ||||
\(196\) | 5.85938 | + | 3.82983i | 0.418527 | + | 0.273560i | ||||
\(197\) | 3.90018 | + | 14.5557i | 0.277877 | + | 1.03705i | 0.953889 | + | 0.300159i | \(0.0970398\pi\) |
−0.676013 | + | 0.736890i | \(0.736294\pi\) | |||||||
\(198\) | 2.96700 | − | 5.13899i | 0.210855 | − | 0.365212i | ||||
\(199\) | −4.30556 | − | 7.45745i | −0.305213 | − | 0.528645i | 0.672095 | − | 0.740464i | \(-0.265394\pi\) |
−0.977309 | + | 0.211820i | \(0.932061\pi\) | |||||||
\(200\) | 5.04318 | − | 5.04318i | 0.356607 | − | 0.356607i | ||||
\(201\) | 1.38874 | − | 5.18284i | 0.0979540 | − | 0.365569i | ||||
\(202\) | 17.1263 | + | 4.58898i | 1.20500 | + | 0.322879i | ||||
\(203\) | −8.66552 | − | 16.0164i | −0.608201 | − | 1.12413i | ||||
\(204\) | 0.681755 | + | 1.18083i | 0.0477324 | + | 0.0826749i | ||||
\(205\) | 10.9115 | + | 6.29974i | 0.762090 | + | 0.439993i | ||||
\(206\) | −0.763084 | − | 2.84787i | −0.0531666 | − | 0.198420i | ||||
\(207\) | − | 0.390347i | − | 0.0271310i | ||||||
\(208\) | −1.59604 | − | 3.23306i | −0.110665 | − | 0.224172i | ||||
\(209\) | − | 4.65734i | − | 0.322155i | ||||||
\(210\) | −0.254867 | + | 9.21195i | −0.0175875 | + | 0.635685i | ||||
\(211\) | −2.46370 | + | 4.26725i | −0.169608 | + | 0.293769i | −0.938282 | − | 0.345871i | \(-0.887583\pi\) |
0.768674 | + | 0.639641i | \(0.220917\pi\) | |||||||
\(212\) | −8.43239 | + | 4.86844i | −0.579139 | + | 0.334366i | ||||
\(213\) | −9.43442 | − | 9.43442i | −0.646436 | − | 0.646436i | ||||
\(214\) | −2.64735 | − | 0.709356i | −0.180969 | − | 0.0484905i | ||||
\(215\) | 8.17248 | + | 2.18981i | 0.557359 | + | 0.149344i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | 0.768609 | − | 0.183324i | 0.0521766 | − | 0.0124448i | ||||
\(218\) | −7.07171 | − | 4.08285i | −0.478956 | − | 0.276526i | ||||
\(219\) | −6.96366 | + | 1.86591i | −0.470560 | + | 0.126086i | ||||
\(220\) | 20.6688 | 1.39349 | ||||||||
\(221\) | 4.90581 | + | 0.319494i | 0.330001 | + | 0.0214915i | ||||
\(222\) | 6.05610i | 0.406459i | ||||||||
\(223\) | 11.3141 | − | 3.03159i | 0.757646 | − | 0.203011i | 0.140739 | − | 0.990047i | \(-0.455052\pi\) |
0.616907 | + | 0.787036i | \(0.288386\pi\) | |||||||
\(224\) | −1.92185 | + | 1.81837i | −0.128409 | + | 0.121495i | ||||
\(225\) | −6.17661 | + | 3.56607i | −0.411774 | + | 0.237738i | ||||
\(226\) | −4.49089 | + | 4.49089i | −0.298730 | + | 0.298730i | ||||
\(227\) | 1.79513 | − | 6.69952i | 0.119147 | − | 0.444662i | −0.880417 | − | 0.474201i | \(-0.842737\pi\) |
0.999564 | + | 0.0295384i | \(0.00940372\pi\) | |||||||
\(228\) | −0.203136 | + | 0.758114i | −0.0134530 | + | 0.0502073i | ||||
\(229\) | 0.832759 | − | 0.832759i | 0.0550302 | − | 0.0550302i | −0.679056 | − | 0.734086i | \(-0.737611\pi\) |
0.734086 | + | 0.679056i | \(0.237611\pi\) | |||||||
\(230\) | 1.17747 | − | 0.679813i | 0.0776402 | − | 0.0448256i | ||||
\(231\) | −11.4043 | + | 10.7902i | −0.750346 | + | 0.709944i | ||||
\(232\) | 6.64833 | − | 1.78141i | 0.436484 | − | 0.116956i | ||||
\(233\) | 6.83577i | 0.447826i | 0.974609 | + | 0.223913i | \(0.0718832\pi\) | ||||
−0.974609 | + | 0.223913i | \(0.928117\pi\) | |||||||
\(234\) | 0.704879 | + | 3.53598i | 0.0460794 | + | 0.231154i | ||||
\(235\) | −33.7233 | −2.19986 | ||||||||
\(236\) | −5.37683 | + | 1.44072i | −0.350002 | + | 0.0937828i | ||||
\(237\) | −8.01692 | − | 4.62857i | −0.520755 | − | 0.300658i | ||||
\(238\) | −0.836963 | − | 3.50907i | −0.0542523 | − | 0.227460i | ||||
\(239\) | 6.87053 | − | 6.87053i | 0.444418 | − | 0.444418i | −0.449076 | − | 0.893494i | \(-0.648247\pi\) |
0.893494 | + | 0.449076i | \(0.148247\pi\) | |||||||
\(240\) | −3.36444 | − | 0.901498i | −0.217173 | − | 0.0581915i | ||||
\(241\) | 3.78785 | + | 1.01495i | 0.243997 | + | 0.0653787i | 0.378745 | − | 0.925501i | \(-0.376356\pi\) |
−0.134748 | + | 0.990880i | \(0.543022\pi\) | |||||||
\(242\) | 17.1207 | + | 17.1207i | 1.10056 | + | 1.10056i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 4.84132 | − | 8.38542i | 0.309934 | − | 0.536821i | ||||
\(245\) | 7.60301 | − | 23.1661i | 0.485739 | − | 1.48003i | ||||
\(246\) | − | 3.61730i | − | 0.230630i | ||||||
\(247\) | 1.86673 | + | 2.12681i | 0.118777 | + | 0.135326i | ||||
\(248\) | 0.298656i | 0.0189647i | ||||||||
\(249\) | −3.41801 | − | 12.7562i | −0.216608 | − | 0.808391i | ||||
\(250\) | −6.43152 | − | 3.71324i | −0.406765 | − | 0.234846i | ||||
\(251\) | 9.97113 | + | 17.2705i | 0.629372 | + | 1.09010i | 0.987678 | + | 0.156500i | \(0.0500213\pi\) |
−0.358306 | + | 0.933604i | \(0.616645\pi\) | |||||||
\(252\) | 2.32700 | − | 1.25900i | 0.146587 | − | 0.0793096i | ||||
\(253\) | 2.23739 | + | 0.599508i | 0.140664 | + | 0.0376907i | ||||
\(254\) | 3.37104 | − | 12.5809i | 0.211518 | − | 0.789395i | ||||
\(255\) | 3.35824 | − | 3.35824i | 0.210301 | − | 0.210301i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 7.32794 | − | 12.6924i | 0.457105 | − | 0.791728i | −0.541702 | − | 0.840571i | \(-0.682220\pi\) |
0.998807 | + | 0.0488423i | \(0.0155532\pi\) | |||||||
\(258\) | −0.628692 | − | 2.34631i | −0.0391406 | − | 0.146075i | ||||
\(259\) | 4.57350 | − | 15.3564i | 0.284183 | − | 0.954198i | ||||
\(260\) | −9.43859 | + | 8.28437i | −0.585356 | + | 0.513775i | ||||
\(261\) | −6.88286 | −0.426038 | ||||||||
\(262\) | 21.7465 | − | 5.82696i | 1.34350 | − | 0.359991i | ||||
\(263\) | 6.28232 | − | 10.8813i | 0.387384 | − | 0.670969i | −0.604713 | − | 0.796444i | \(-0.706712\pi\) |
0.992097 | + | 0.125474i | \(0.0400453\pi\) | |||||||
\(264\) | −2.96700 | − | 5.13899i | −0.182606 | − | 0.316283i | ||||
\(265\) | 23.9813 | + | 23.9813i | 1.47316 | + | 1.47316i | ||||
\(266\) | 1.08761 | − | 1.76893i | 0.0666855 | − | 0.108460i | ||||
\(267\) | 1.44141 | − | 5.37940i | 0.0882126 | − | 0.329214i | ||||
\(268\) | −3.79410 | − | 3.79410i | −0.231762 | − | 0.231762i | ||||
\(269\) | −18.6795 | + | 10.7846i | −1.13891 | + | 0.657550i | −0.946161 | − | 0.323698i | \(-0.895074\pi\) |
−0.192750 | + | 0.981248i | \(0.561741\pi\) | |||||||
\(270\) | 3.01647 | + | 1.74156i | 0.183577 | + | 0.105988i | ||||
\(271\) | −1.23435 | − | 4.60664i | −0.0749811 | − | 0.279833i | 0.918248 | − | 0.396006i | \(-0.129604\pi\) |
−0.993229 | + | 0.116173i | \(0.962937\pi\) | |||||||
\(272\) | 1.36351 | 0.0826749 | ||||||||
\(273\) | 0.882976 | − | 9.49844i | 0.0534402 | − | 0.574872i | ||||
\(274\) | −21.3677 | −1.29087 | ||||||||
\(275\) | −10.9538 | − | 40.8800i | −0.660536 | − | 2.46515i | ||||
\(276\) | −0.338051 | − | 0.195174i | −0.0203483 | − | 0.0117481i | ||||
\(277\) | −23.5013 | + | 13.5685i | −1.41206 | + | 0.815251i | −0.995582 | − | 0.0938963i | \(-0.970068\pi\) |
−0.416474 | + | 0.909147i | \(0.636734\pi\) | |||||||
\(278\) | 10.8089 | + | 10.8089i | 0.648274 | + | 0.648274i | ||||
\(279\) | 0.0772979 | − | 0.288480i | 0.00462770 | − | 0.0172708i | ||||
\(280\) | 7.85035 | + | 4.82670i | 0.469148 | + | 0.288450i | ||||
\(281\) | −12.1315 | − | 12.1315i | −0.723704 | − | 0.723704i | 0.245653 | − | 0.969358i | \(-0.420997\pi\) |
−0.969358 | + | 0.245653i | \(0.920997\pi\) | |||||||
\(282\) | 4.84096 | + | 8.38479i | 0.288275 | + | 0.499307i | ||||
\(283\) | −3.51788 | + | 6.09314i | −0.209116 | + | 0.362200i | −0.951436 | − | 0.307846i | \(-0.900392\pi\) |
0.742320 | + | 0.670045i | \(0.233725\pi\) | |||||||
\(284\) | −12.8877 | + | 3.45324i | −0.764742 | + | 0.204912i | ||||
\(285\) | 2.73375 | 0.161934 | ||||||||
\(286\) | −21.3501 | − | 1.39044i | −1.26246 | − | 0.0822183i | ||||
\(287\) | −2.73174 | + | 9.17232i | −0.161249 | + | 0.541425i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | 7.57042 | − | 13.1124i | 0.445319 | − | 0.771315i | ||||
\(290\) | −11.9869 | − | 20.7619i | −0.703896 | − | 1.21918i | ||||
\(291\) | −9.41911 | + | 9.41911i | −0.552158 | + | 0.552158i | ||||
\(292\) | −1.86591 | + | 6.96366i | −0.109194 | + | 0.407517i | ||||
\(293\) | −17.9193 | − | 4.80147i | −1.04686 | − | 0.280505i | −0.305906 | − | 0.952062i | \(-0.598959\pi\) |
−0.740953 | + | 0.671557i | \(0.765626\pi\) | |||||||
\(294\) | −6.85131 | + | 1.43511i | −0.399577 | + | 0.0836972i | ||||
\(295\) | 9.69441 | + | 16.7912i | 0.564430 | + | 0.977622i | ||||
\(296\) | 5.24474 | + | 3.02805i | 0.304844 | + | 0.176002i | ||||
\(297\) | 1.53583 | + | 5.73180i | 0.0891180 | + | 0.332593i | ||||
\(298\) | 1.25036i | 0.0724315i | ||||||||
\(299\) | −1.26201 | + | 0.623010i | −0.0729842 | + | 0.0360296i | ||||
\(300\) | 7.13213i | 0.411774i | ||||||||
\(301\) | −0.177741 | + | 6.42428i | −0.0102448 | + | 0.370289i | ||||
\(302\) | −7.56655 | + | 13.1056i | −0.435406 | + | 0.754145i | ||||
\(303\) | −15.3550 | + | 8.86523i | −0.882123 | + | 0.509294i | ||||
\(304\) | 0.554978 | + | 0.554978i | 0.0318302 | + | 0.0318302i | ||||
\(305\) | −32.5766 | − | 8.72889i | −1.86533 | − | 0.499815i | ||||
\(306\) | −1.31705 | − | 0.352902i | −0.0752907 | − | 0.0201741i | ||||
\(307\) | 2.41349 | − | 2.41349i | 0.137745 | − | 0.137745i | −0.634872 | − | 0.772617i | \(-0.718947\pi\) |
0.772617 | + | 0.634872i | \(0.218947\pi\) | |||||||
\(308\) | 3.64247 | + | 15.2715i | 0.207549 | + | 0.870174i | ||||
\(309\) | 2.55333 | + | 1.47417i | 0.145254 | + | 0.0838624i | ||||
\(310\) | 1.00481 | − | 0.269238i | 0.0570693 | − | 0.0152917i | ||||
\(311\) | 3.90589 | 0.221483 | 0.110741 | − | 0.993849i | \(-0.464677\pi\) | ||||
0.110741 | + | 0.993849i | \(0.464677\pi\) | |||||||
\(312\) | 3.41469 | + | 1.15755i | 0.193319 | + | 0.0655331i | ||||
\(313\) | 30.2872i | 1.71193i | 0.517033 | + | 0.855966i | \(0.327037\pi\) | ||||
−0.517033 | + | 0.855966i | \(0.672963\pi\) | |||||||
\(314\) | −14.0453 | + | 3.76342i | −0.792620 | + | 0.212382i | ||||
\(315\) | −6.33361 | − | 6.69405i | −0.356859 | − | 0.377167i | ||||
\(316\) | −8.01692 | + | 4.62857i | −0.450987 | + | 0.260377i | ||||
\(317\) | −16.4263 | + | 16.4263i | −0.922590 | + | 0.922590i | −0.997212 | − | 0.0746216i | \(-0.976225\pi\) |
0.0746216 | + | 0.997212i | \(0.476225\pi\) | |||||||
\(318\) | 2.52009 | − | 9.40511i | 0.141320 | − | 0.527412i | ||||
\(319\) | 10.5709 | − | 39.4512i | 0.591857 | − | 2.20884i | ||||
\(320\) | −2.46294 | + | 2.46294i | −0.137682 | + | 0.137682i | ||||
\(321\) | 2.37355 | − | 1.37037i | 0.132479 | − | 0.0764866i | ||||
\(322\) | 0.709797 | + | 0.750190i | 0.0395554 | + | 0.0418065i | ||||
\(323\) | −1.03370 | + | 0.276978i | −0.0575164 | + | 0.0154115i | ||||
\(324\) | − | 1.00000i | − | 0.0555556i | ||||||
\(325\) | 21.3874 | + | 14.2777i | 1.18636 | + | 0.791987i | ||||
\(326\) | 18.3898 | 1.01852 | ||||||||
\(327\) | 7.88746 | − | 2.11344i | 0.436178 | − | 0.116873i | ||||
\(328\) | −3.13267 | − | 1.80865i | −0.172973 | − | 0.0998659i | ||||
\(329\) | −5.94305 | − | 24.9170i | −0.327651 | − | 1.37372i | ||||
\(330\) | −14.6151 | + | 14.6151i | −0.804533 | + | 0.804533i | ||||
\(331\) | −28.9021 | − | 7.74430i | −1.58860 | − | 0.425665i | −0.647029 | − | 0.762466i | \(-0.723989\pi\) |
−0.941576 | + | 0.336800i | \(0.890655\pi\) | |||||||
\(332\) | −12.7562 | − | 3.41801i | −0.700088 | − | 0.187588i | ||||
\(333\) | −4.28231 | − | 4.28231i | −0.234669 | − | 0.234669i | ||||
\(334\) | −19.9971 | + | 11.5453i | −1.09419 | + | 0.631733i | ||||
\(335\) | −9.34464 | + | 16.1854i | −0.510552 | + | 0.884302i | ||||
\(336\) | 0.0731721 | − | 2.64474i | 0.00399187 | − | 0.144282i | ||||
\(337\) | 21.7225i | 1.18330i | 0.806195 | + | 0.591650i | \(0.201523\pi\) | ||||
−0.806195 | + | 0.591650i | \(0.798477\pi\) | |||||||
\(338\) | 10.3070 | − | 7.92248i | 0.560627 | − | 0.430926i | ||||
\(339\) | − | 6.35108i | − | 0.344943i | ||||||
\(340\) | −1.22920 | − | 4.58744i | −0.0666628 | − | 0.248789i | ||||
\(341\) | 1.53479 | + | 0.886112i | 0.0831136 | + | 0.0479857i | ||||
\(342\) | −0.392429 | − | 0.679706i | −0.0212201 | − | 0.0367543i | ||||
\(343\) | 18.4565 | + | 1.53505i | 0.996559 | + | 0.0828848i | ||||
\(344\) | −2.34631 | − | 0.628692i | −0.126505 | − | 0.0338968i | ||||
\(345\) | −0.351897 | + | 1.31330i | −0.0189455 | + | 0.0707056i | ||||
\(346\) | −5.12675 | + | 5.12675i | −0.275616 | + | 0.275616i | ||||
\(347\) | 13.7048 | + | 23.7374i | 0.735712 | + | 1.27429i | 0.954410 | + | 0.298498i | \(0.0964856\pi\) |
−0.218698 | + | 0.975793i | \(0.570181\pi\) | |||||||
\(348\) | −3.44143 | + | 5.96073i | −0.184480 | + | 0.319529i | ||||
\(349\) | −2.01381 | − | 7.51566i | −0.107797 | − | 0.402304i | 0.890850 | − | 0.454297i | \(-0.150109\pi\) |
−0.998647 | + | 0.0519928i | \(0.983443\pi\) | |||||||
\(350\) | 5.38610 | − | 18.0848i | 0.287899 | − | 0.966675i | ||||
\(351\) | −2.99874 | − | 2.00189i | −0.160061 | − | 0.106853i | ||||
\(352\) | −5.93400 | −0.316283 | ||||||||
\(353\) | 2.29704 | − | 0.615489i | 0.122259 | − | 0.0327592i | −0.197171 | − | 0.980369i | \(-0.563175\pi\) |
0.319430 | + | 0.947610i | \(0.396509\pi\) | |||||||
\(354\) | 2.78325 | − | 4.82074i | 0.147928 | − | 0.256219i | ||||
\(355\) | 23.2364 | + | 40.2466i | 1.23326 | + | 2.13607i | ||||
\(356\) | −3.93799 | − | 3.93799i | −0.208713 | − | 0.208713i | ||||
\(357\) | 3.07311 | + | 1.88947i | 0.162646 | + | 0.100001i | ||||
\(358\) | 3.89176 | − | 14.5243i | 0.205686 | − | 0.767631i | ||||
\(359\) | 12.2708 | + | 12.2708i | 0.647629 | + | 0.647629i | 0.952419 | − | 0.304790i | \(-0.0985864\pi\) |
−0.304790 | + | 0.952419i | \(0.598586\pi\) | |||||||
\(360\) | 3.01647 | − | 1.74156i | 0.158982 | − | 0.0917883i | ||||
\(361\) | 15.9210 | + | 9.19200i | 0.837948 | + | 0.483789i | ||||
\(362\) | −2.06250 | − | 7.69735i | −0.108402 | − | 0.404564i | ||||
\(363\) | −24.2123 | −1.27082 | ||||||||
\(364\) | −7.78440 | − | 5.51390i | −0.408014 | − | 0.289007i | ||||
\(365\) | 25.1109 | 1.31436 | ||||||||
\(366\) | 2.50605 | + | 9.35272i | 0.130993 | + | 0.488874i | ||||
\(367\) | −27.1547 | − | 15.6778i | −1.41747 | − | 0.818374i | −0.421389 | − | 0.906880i | \(-0.638457\pi\) |
−0.996076 | + | 0.0885060i | \(0.971791\pi\) | |||||||
\(368\) | −0.338051 | + | 0.195174i | −0.0176221 | + | 0.0101741i | ||||
\(369\) | 2.55781 | + | 2.55781i | 0.133154 | + | 0.133154i | ||||
\(370\) | 5.45957 | − | 20.3754i | 0.283829 | − | 1.05927i | ||||
\(371\) | −13.4928 | + | 21.9452i | −0.700510 | + | 1.13934i | ||||
\(372\) | −0.211182 | − | 0.211182i | −0.0109493 | − | 0.0109493i | ||||
\(373\) | −12.3546 | − | 21.3987i | −0.639695 | − | 1.10798i | −0.985500 | − | 0.169677i | \(-0.945727\pi\) |
0.345805 | − | 0.938306i | \(-0.387606\pi\) | |||||||
\(374\) | 4.04553 | − | 7.00707i | 0.209189 | − | 0.362327i | ||||
\(375\) | 7.17343 | − | 1.92211i | 0.370434 | − | 0.0992575i | ||||
\(376\) | 9.68192 | 0.499307 | ||||||||
\(377\) | 10.9853 | + | 22.2527i | 0.565773 | + | 1.14607i | ||||
\(378\) | −0.755188 | + | 2.53568i | −0.0388427 | + | 0.130421i | ||||
\(379\) | 4.75813 | + | 17.7576i | 0.244409 | + | 0.912145i | 0.973680 | + | 0.227921i | \(0.0731927\pi\) |
−0.729271 | + | 0.684225i | \(0.760141\pi\) | |||||||
\(380\) | 1.36688 | − | 2.36750i | 0.0701193 | − | 0.121450i | ||||
\(381\) | 6.51235 | + | 11.2797i | 0.333638 | + | 0.577877i | ||||
\(382\) | 6.27236 | − | 6.27236i | 0.320922 | − | 0.320922i | ||||
\(383\) | 2.50600 | − | 9.35251i | 0.128051 | − | 0.477891i | −0.871880 | − | 0.489720i | \(-0.837099\pi\) |
0.999930 | + | 0.0118294i | \(0.00376551\pi\) | |||||||
\(384\) | 0.965926 | + | 0.258819i | 0.0492922 | + | 0.0132078i | ||||
\(385\) | 48.0963 | − | 26.0221i | 2.45122 | − | 1.32621i | ||||
\(386\) | 1.83581 | + | 3.17971i | 0.0934402 | + | 0.161843i | ||||
\(387\) | 2.10364 | + | 1.21454i | 0.106934 | + | 0.0617385i | ||||
\(388\) | 3.44763 | + | 12.8667i | 0.175027 | + | 0.653210i | ||||
\(389\) | 13.3041i | 0.674545i | 0.941407 | + | 0.337272i | \(0.109504\pi\) | ||||
−0.941407 | + | 0.337272i | \(0.890496\pi\) | |||||||
\(390\) | 0.816156 | − | 12.5320i | 0.0413276 | − | 0.634584i | ||||
\(391\) | − | 0.532242i | − | 0.0269167i | ||||||
\(392\) | −2.18282 | + | 6.65096i | −0.110249 | + | 0.335924i | ||||
\(393\) | −11.2568 | + | 19.4974i | −0.567831 | + | 0.983512i | ||||
\(394\) | −13.0503 | + | 7.53457i | −0.657463 | + | 0.379586i | ||||
\(395\) | 22.7998 | + | 22.7998i | 1.14718 | + | 1.14718i | ||||
\(396\) | 5.73180 | + | 1.53583i | 0.288034 | + | 0.0771784i | ||||
\(397\) | 20.2162 | + | 5.41692i | 1.01462 | + | 0.271868i | 0.727560 | − | 0.686044i | \(-0.240654\pi\) |
0.287064 | + | 0.957912i | \(0.407321\pi\) | |||||||
\(398\) | 6.08899 | − | 6.08899i | 0.305213 | − | 0.305213i | ||||
\(399\) | 0.481769 | + | 2.01988i | 0.0241186 | + | 0.101120i | ||||
\(400\) | 6.17661 | + | 3.56607i | 0.308830 | + | 0.178303i | ||||
\(401\) | −11.8638 | + | 3.17888i | −0.592448 | + | 0.158746i | −0.542572 | − | 0.840010i | \(-0.682549\pi\) |
−0.0498760 | + | 0.998755i | \(0.515883\pi\) | |||||||
\(402\) | 5.36567 | 0.267615 | ||||||||
\(403\) | −1.05604 | + | 0.210517i | −0.0526052 | + | 0.0104866i | ||||
\(404\) | 17.7305i | 0.882123i | ||||||||
\(405\) | −3.36444 | + | 0.901498i | −0.167180 | + | 0.0447958i | ||||
\(406\) | 13.2278 | − | 12.5156i | 0.656487 | − | 0.621139i | ||||
\(407\) | 31.1223 | − | 17.9685i | 1.54267 | − | 0.890663i | ||||
\(408\) | −0.964147 | + | 0.964147i | −0.0477324 | + | 0.0477324i | ||||
\(409\) | 1.07120 | − | 3.99778i | 0.0529675 | − | 0.197677i | −0.934372 | − | 0.356299i | \(-0.884038\pi\) |
0.987339 | + | 0.158622i | \(0.0507051\pi\) | |||||||
\(410\) | −3.26098 | + | 12.1702i | −0.161049 | + | 0.601041i | ||||
\(411\) | 15.1092 | − | 15.1092i | 0.745284 | − | 0.745284i | ||||
\(412\) | 2.55333 | − | 1.47417i | 0.125794 | − | 0.0726269i | ||||
\(413\) | −10.6980 | + | 10.1220i | −0.526415 | + | 0.498070i | ||||
\(414\) | 0.377047 | − | 0.101029i | 0.0185308 | − | 0.00496532i | ||||
\(415\) | 45.9988i | 2.25799i | ||||||||
\(416\) | 2.70981 | − | 2.37843i | 0.132859 | − | 0.116612i | ||||
\(417\) | −15.2861 | −0.748562 | ||||||||
\(418\) | 4.49865 | − | 1.20541i | 0.220036 | − | 0.0589584i | ||||
\(419\) | −26.8922 | − | 15.5262i | −1.31377 | − | 0.758504i | −0.331050 | − | 0.943613i | \(-0.607403\pi\) |
−0.982718 | + | 0.185109i | \(0.940736\pi\) | |||||||
\(420\) | −8.96402 | + | 2.13804i | −0.437399 | + | 0.104326i | ||||
\(421\) | 23.7904 | − | 23.7904i | 1.15947 | − | 1.15947i | 0.174882 | − | 0.984589i | \(-0.444046\pi\) |
0.984589 | − | 0.174882i | \(-0.0559545\pi\) | |||||||
\(422\) | −4.75950 | − | 1.27530i | −0.231689 | − | 0.0620808i | ||||
\(423\) | −9.35201 | − | 2.50586i | −0.454710 | − | 0.121839i | ||||
\(424\) | −6.88502 | − | 6.88502i | −0.334366 | − | 0.334366i | ||||
\(425\) | −8.42187 | + | 4.86237i | −0.408520 | + | 0.235859i | ||||
\(426\) | 6.67114 | − | 11.5548i | 0.323218 | − | 0.559830i | ||||
\(427\) | 0.708500 | − | 25.6081i | 0.0342867 | − | 1.23926i | ||||
\(428\) | − | 2.74074i | − | 0.132479i | ||||||
\(429\) | 16.0800 | − | 14.1136i | 0.776349 | − | 0.681412i | ||||
\(430\) | 8.46077i | 0.408015i | ||||||||
\(431\) | 2.38619 | + | 8.90540i | 0.114939 | + | 0.428958i | 0.999282 | − | 0.0378790i | \(-0.0120601\pi\) |
−0.884343 | + | 0.466837i | \(0.845393\pi\) | |||||||
\(432\) | −0.866025 | − | 0.500000i | −0.0416667 | − | 0.0240563i | ||||
\(433\) | −9.06647 | − | 15.7036i | −0.435707 | − | 0.754666i | 0.561646 | − | 0.827378i | \(-0.310168\pi\) |
−0.997353 | + | 0.0727111i | \(0.976835\pi\) | |||||||
\(434\) | 0.376008 | + | 0.694972i | 0.0180490 | + | 0.0333597i | ||||
\(435\) | 23.1569 | + | 6.20488i | 1.11029 | + | 0.297501i | ||||
\(436\) | 2.11344 | − | 7.88746i | 0.101215 | − | 0.377741i | ||||
\(437\) | 0.216634 | − | 0.216634i | 0.0103630 | − | 0.0103630i | ||||
\(438\) | −3.60466 | − | 6.24345i | −0.172237 | − | 0.298323i | ||||
\(439\) | 17.0376 | − | 29.5100i | 0.813160 | − | 1.40844i | −0.0974810 | − | 0.995237i | \(-0.531079\pi\) |
0.910641 | − | 0.413198i | \(-0.135588\pi\) | |||||||
\(440\) | 5.34949 | + | 19.9646i | 0.255027 | + | 0.951773i | ||||
\(441\) | 3.82983 | − | 5.85938i | 0.182373 | − | 0.279018i | ||||
\(442\) | 0.961110 | + | 4.82134i | 0.0457153 | + | 0.229328i | ||||
\(443\) | −37.1553 | −1.76530 | −0.882650 | − | 0.470030i | \(-0.844243\pi\) | ||||
−0.882650 | + | 0.470030i | \(0.844243\pi\) | |||||||
\(444\) | −5.84975 | + | 1.56744i | −0.277617 | + | 0.0743872i | ||||
\(445\) | −9.69904 | + | 16.7992i | −0.459778 | + | 0.796360i | ||||
\(446\) | 5.85659 | + | 10.1439i | 0.277318 | + | 0.480328i | ||||
\(447\) | −0.884139 | − | 0.884139i | −0.0418183 | − | 0.0418183i | ||||
\(448\) | −2.25383 | − | 1.38574i | −0.106483 | − | 0.0654700i | ||||
\(449\) | 3.12913 | − | 11.6781i | 0.147673 | − | 0.551122i | −0.851949 | − | 0.523625i | \(-0.824579\pi\) |
0.999622 | − | 0.0274976i | \(-0.00875387\pi\) | |||||||
\(450\) | −5.04318 | − | 5.04318i | −0.237738 | − | 0.237738i | ||||
\(451\) | −18.5893 | + | 10.7325i | −0.875334 | + | 0.505374i | ||||
\(452\) | −5.50020 | − | 3.17554i | −0.258708 | − | 0.149365i | ||||
\(453\) | −3.91673 | − | 14.6174i | −0.184024 | − | 0.686787i | ||||
\(454\) | 6.93585 | 0.325516 | ||||||||
\(455\) | −11.5335 | + | 31.1609i | −0.540701 | + | 1.46085i | ||||
\(456\) | −0.784857 | −0.0367543 | ||||||||
\(457\) | −1.71247 | − | 6.39104i | −0.0801061 | − | 0.298960i | 0.914236 | − | 0.405181i | \(-0.132792\pi\) |
−0.994343 | + | 0.106221i | \(0.966125\pi\) | |||||||
\(458\) | 1.01992 | + | 0.588849i | 0.0476576 | + | 0.0275151i | ||||
\(459\) | 1.18083 | − | 0.681755i | 0.0551166 | − | 0.0318216i | ||||
\(460\) | 0.961401 | + | 0.961401i | 0.0448256 | + | 0.0448256i | ||||
\(461\) | 6.00819 | − | 22.4229i | 0.279829 | − | 1.04434i | −0.672706 | − | 0.739909i | \(-0.734868\pi\) |
0.952536 | − | 0.304427i | \(-0.0984650\pi\) | |||||||
\(462\) | −13.3742 | − | 8.22297i | −0.622224 | − | 0.382567i | ||||
\(463\) | −4.55758 | − | 4.55758i | −0.211809 | − | 0.211809i | 0.593227 | − | 0.805035i | \(-0.297854\pi\) |
−0.805035 | + | 0.593227i | \(0.797854\pi\) | |||||||
\(464\) | 3.44143 | + | 5.96073i | 0.159764 | + | 0.276720i | ||||
\(465\) | −0.520128 | + | 0.900888i | −0.0241203 | + | 0.0417777i | ||||
\(466\) | −6.60285 | + | 1.76923i | −0.305871 | + | 0.0819579i | ||||
\(467\) | −11.0261 | −0.510228 | −0.255114 | − | 0.966911i | \(-0.582113\pi\) | ||||
−0.255114 | + | 0.966911i | \(0.582113\pi\) | |||||||
\(468\) | −3.23306 | + | 1.59604i | −0.149448 | + | 0.0737770i | ||||
\(469\) | −13.6056 | − | 4.05209i | −0.628250 | − | 0.187108i | ||||
\(470\) | −8.72823 | − | 32.5742i | −0.402603 | − | 1.50254i | ||||
\(471\) | 7.27036 | − | 12.5926i | 0.335001 | − | 0.580238i | ||||
\(472\) | −2.78325 | − | 4.82074i | −0.128110 | − | 0.221892i | ||||
\(473\) | −10.1923 | + | 10.1923i | −0.468644 | + | 0.468644i | ||||
\(474\) | 2.39592 | − | 8.94171i | 0.110048 | − | 0.410706i | ||||
\(475\) | −5.40697 | − | 1.44879i | −0.248089 | − | 0.0664752i | ||||
\(476\) | 3.17288 | − | 1.71666i | 0.145429 | − | 0.0786830i | ||||
\(477\) | 4.86844 | + | 8.43239i | 0.222911 | + | 0.386093i | ||||
\(478\) | 8.41465 | + | 4.85820i | 0.384877 | + | 0.222209i | ||||
\(479\) | 1.58884 | + | 5.92965i | 0.0725961 | + | 0.270932i | 0.992677 | − | 0.120795i | \(-0.0385443\pi\) |
−0.920081 | + | 0.391727i | \(0.871878\pi\) | |||||||
\(480\) | − | 3.48312i | − | 0.158982i | ||||||
\(481\) | −7.01022 | + | 20.6797i | −0.319638 | + | 0.942913i | ||||
\(482\) | 3.92147i | 0.178618i | ||||||||
\(483\) | −1.03237 | − | 0.0285625i | −0.0469743 | − | 0.00129964i | ||||
\(484\) | −12.1062 | + | 20.9685i | −0.550280 | + | 0.953113i | ||||
\(485\) | 40.1813 | − | 23.1987i | 1.82454 | − | 1.05340i | ||||
\(486\) | 0.707107 | + | 0.707107i | 0.0320750 | + | 0.0320750i | ||||
\(487\) | 10.5482 | + | 2.82637i | 0.477983 | + | 0.128075i | 0.489763 | − | 0.871855i | \(-0.337083\pi\) |
−0.0117801 | + | 0.999931i | \(0.503750\pi\) | |||||||
\(488\) | 9.35272 | + | 2.50605i | 0.423378 | + | 0.113444i | ||||
\(489\) | −13.0036 | + | 13.0036i | −0.588042 | + | 0.588042i | ||||
\(490\) | 24.3445 | + | 1.34812i | 1.09977 | + | 0.0609017i | ||||
\(491\) | −7.10942 | − | 4.10463i | −0.320844 | − | 0.185239i | 0.330925 | − | 0.943657i | \(-0.392639\pi\) |
−0.651769 | + | 0.758418i | \(0.725973\pi\) | |||||||
\(492\) | 3.49404 | − | 0.936225i | 0.157523 | − | 0.0422083i | ||||
\(493\) | −9.38485 | −0.422672 | ||||||||
\(494\) | −1.57120 | + | 2.35358i | −0.0706915 | + | 0.105893i | ||||
\(495\) | − | 20.6688i | − | 0.928995i | ||||||
\(496\) | −0.288480 | + | 0.0772979i | −0.0129531 | + | 0.00347078i | ||||
\(497\) | −25.6419 | + | 24.2612i | −1.15020 | + | 1.08827i | ||||
\(498\) | 11.4369 | − | 6.60310i | 0.512500 | − | 0.295892i | ||||
\(499\) | 24.2077 | − | 24.2077i | 1.08369 | − | 1.08369i | 0.0875246 | − | 0.996162i | \(-0.472104\pi\) |
0.996162 | − | 0.0875246i | \(-0.0278957\pi\) | |||||||
\(500\) | 1.92211 | − | 7.17343i | 0.0859595 | − | 0.320805i | ||||
\(501\) | 5.97631 | − | 22.3039i | 0.267002 | − | 0.996464i | ||||
\(502\) | −14.1013 | + | 14.1013i | −0.629372 | + | 0.629372i | ||||
\(503\) | 8.94037 | − | 5.16172i | 0.398631 | − | 0.230150i | −0.287262 | − | 0.957852i | \(-0.592745\pi\) |
0.685893 | + | 0.727702i | \(0.259412\pi\) | |||||||
\(504\) | 1.81837 | + | 1.92185i | 0.0809968 | + | 0.0856062i | ||||
\(505\) | 59.6530 | − | 15.9840i | 2.65452 | − | 0.711277i | ||||
\(506\) | 2.31632i | 0.102973i | ||||||||
\(507\) | −1.68611 | + | 12.8902i | −0.0748830 | + | 0.572473i | ||||
\(508\) | 13.0247 | 0.577877 | ||||||||
\(509\) | −18.5789 | + | 4.97820i | −0.823495 | + | 0.220655i | −0.645874 | − | 0.763444i | \(-0.723507\pi\) |
−0.177621 | + | 0.984099i | \(0.556840\pi\) | |||||||
\(510\) | 4.11299 | + | 2.37463i | 0.182126 | + | 0.105151i | ||||
\(511\) | 4.42529 | + | 18.5536i | 0.195763 | + | 0.820763i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0.758114 | + | 0.203136i | 0.0334715 | + | 0.00896867i | ||||
\(514\) | 14.1565 | + | 3.79322i | 0.624416 | + | 0.167312i | ||||
\(515\) | −7.26156 | − | 7.26156i | −0.319983 | − | 0.319983i | ||||
\(516\) | 2.10364 | − | 1.21454i | 0.0926078 | − | 0.0534671i | ||||
\(517\) | 28.7262 | − | 49.7553i | 1.26338 | − | 2.18824i | ||||
\(518\) | 16.0168 | + | 0.443138i | 0.703739 | + | 0.0194704i | ||||
\(519\) | − | 7.25031i | − | 0.318253i | ||||||
\(520\) | −10.4450 | − | 6.97282i | −0.458042 | − | 0.305779i | ||||
\(521\) | − | 39.9065i | − | 1.74833i | −0.485625 | − | 0.874167i | \(-0.661408\pi\) | ||
0.485625 | − | 0.874167i | \(-0.338592\pi\) | |||||||
\(522\) | −1.78141 | − | 6.64833i | −0.0779704 | − | 0.290990i | ||||
\(523\) | 8.17412 | + | 4.71933i | 0.357429 | + | 0.206362i | 0.667953 | − | 0.744204i | \(-0.267171\pi\) |
−0.310523 | + | 0.950566i | \(0.600504\pi\) | |||||||
\(524\) | 11.2568 | + | 19.4974i | 0.491756 | + | 0.851747i | ||||
\(525\) | 8.97936 | + | 16.5965i | 0.391891 | + | 0.724329i | ||||
\(526\) | 12.1365 | + | 3.25197i | 0.529177 | + | 0.141793i | ||||
\(527\) | 0.105396 | − | 0.393345i | 0.00459114 | − | 0.0171344i | ||||
\(528\) | 4.19597 | − | 4.19597i | 0.182606 | − | 0.182606i | ||||
\(529\) | −11.4238 | − | 19.7866i | −0.496688 | − | 0.860288i | ||||
\(530\) | −16.9574 | + | 29.3710i | −0.736581 | + | 1.27580i | ||||
\(531\) | 1.44072 | + | 5.37683i | 0.0625219 | + | 0.233335i | ||||
\(532\) | 1.99015 | + | 0.592715i | 0.0862839 | + | 0.0256974i | ||||
\(533\) | 4.18719 | − | 12.3519i | 0.181367 | − | 0.535022i | ||||
\(534\) | 5.56916 | 0.241001 | ||||||||
\(535\) | −9.22104 | + | 2.47077i | −0.398661 | + | 0.106821i | ||||
\(536\) | 2.68284 | − | 4.64681i | 0.115881 | − | 0.200712i | ||||
\(537\) | 7.51831 | + | 13.0221i | 0.324439 | + | 0.561945i | ||||
\(538\) | −15.2518 | − | 15.2518i | −0.657550 | − | 0.657550i | ||||
\(539\) | 27.7028 | + | 30.9509i | 1.19325 | + | 1.33315i | ||||
\(540\) | −0.901498 | + | 3.36444i | −0.0387943 | + | 0.144782i | ||||
\(541\) | 11.1738 | + | 11.1738i | 0.480397 | + | 0.480397i | 0.905259 | − | 0.424861i | \(-0.139677\pi\) |
−0.424861 | + | 0.905259i | \(0.639677\pi\) | |||||||
\(542\) | 4.13020 | − | 2.38457i | 0.177407 | − | 0.102426i | ||||
\(543\) | 6.90125 | + | 3.98444i | 0.296161 | + | 0.170989i | ||||
\(544\) | 0.352902 | + | 1.31705i | 0.0151306 | + | 0.0564680i | ||||
\(545\) | −28.4421 | −1.21833 | ||||||||
\(546\) | 9.40332 | − | 1.60549i | 0.402425 | − | 0.0687085i | ||||
\(547\) | 3.67435 | 0.157104 | 0.0785519 | − | 0.996910i | \(-0.474970\pi\) | ||||
0.0785519 | + | 0.996910i | \(0.474970\pi\) | |||||||
\(548\) | −5.53036 | − | 20.6396i | −0.236245 | − | 0.881680i | ||||
\(549\) | −8.38542 | − | 4.84132i | −0.357881 | − | 0.206623i | ||||
\(550\) | 36.6520 | − | 21.1610i | 1.56285 | − | 0.902309i | ||||
\(551\) | −3.81983 | − | 3.81983i | −0.162730 | − | 0.162730i | ||||
\(552\) | 0.101029 | − | 0.377047i | 0.00430009 | − | 0.0160482i | ||||
\(553\) | −12.8280 | + | 20.8640i | −0.545501 | + | 0.887226i | ||||
\(554\) | −19.1887 | − | 19.1887i | −0.815251 | − | 0.815251i | ||||
\(555\) | 10.5471 | + | 18.2681i | 0.447698 | + | 0.775436i | ||||
\(556\) | −7.64304 | + | 13.2381i | −0.324137 | + | 0.561422i | ||||
\(557\) | −1.80798 | + | 0.484446i | −0.0766065 | + | 0.0205267i | −0.296919 | − | 0.954903i | \(-0.595959\pi\) |
0.220312 | + | 0.975429i | \(0.429292\pi\) | |||||||
\(558\) | 0.298656 | 0.0126431 | ||||||||
\(559\) | 0.569175 | − | 8.73965i | 0.0240735 | − | 0.369648i | ||||
\(560\) | −2.63041 | + | 8.83209i | −0.111155 | + | 0.373224i | ||||
\(561\) | 2.09412 | + | 7.81537i | 0.0884139 | + | 0.329965i | ||||
\(562\) | 8.57826 | − | 14.8580i | 0.361852 | − | 0.626746i | ||||
\(563\) | 0.329848 | + | 0.571314i | 0.0139014 | + | 0.0240780i | 0.872892 | − | 0.487913i | \(-0.162242\pi\) |
−0.858991 | + | 0.511991i | \(0.828908\pi\) | |||||||
\(564\) | −6.84615 | + | 6.84615i | −0.288275 | + | 0.288275i | ||||
\(565\) | −5.72549 | + | 21.3678i | −0.240873 | + | 0.898951i | ||||
\(566\) | −6.79602 | − | 1.82099i | −0.285658 | − | 0.0765418i | ||||
\(567\) | −1.25900 | − | 2.32700i | −0.0528731 | − | 0.0977247i | ||||
\(568\) | −6.67114 | − | 11.5548i | −0.279915 | − | 0.484827i | ||||
\(569\) | 19.3083 | + | 11.1477i | 0.809446 | + | 0.467334i | 0.846764 | − | 0.531969i | \(-0.178548\pi\) |
−0.0373172 | + | 0.999303i | \(0.511881\pi\) | |||||||
\(570\) | 0.707547 | + | 2.64060i | 0.0296359 | + | 0.110603i | ||||
\(571\) | 5.98049i | 0.250276i | 0.992139 | + | 0.125138i | \(0.0399373\pi\) | ||||
−0.992139 | + | 0.125138i | \(0.960063\pi\) | |||||||
\(572\) | −4.18275 | − | 20.9825i | −0.174890 | − | 0.877322i | ||||
\(573\) | 8.87046i | 0.370569i | ||||||||
\(574\) | −9.56680 | − | 0.264685i | −0.399311 | − | 0.0110477i | ||||
\(575\) | 1.39200 | − | 2.41102i | 0.0580506 | − | 0.100547i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | 7.43677 | + | 7.43677i | 0.309597 | + | 0.309597i | 0.844753 | − | 0.535156i | \(-0.179747\pi\) |
−0.535156 | + | 0.844753i | \(0.679747\pi\) | |||||||
\(578\) | 14.6249 | + | 3.91874i | 0.608317 | + | 0.162998i | ||||
\(579\) | −3.54651 | − | 0.950284i | −0.147388 | − | 0.0394925i | ||||
\(580\) | 16.9521 | − | 16.9521i | 0.703896 | − | 0.703896i | ||||
\(581\) | −33.9869 | + | 8.10636i | −1.41002 | + | 0.336308i | ||||
\(582\) | −11.5360 | − | 6.66032i | −0.478183 | − | 0.276079i | ||||
\(583\) | −55.8099 | + | 14.9542i | −2.31141 | + | 0.619340i | ||||
\(584\) | −7.20931 | −0.298323 | ||||||||
\(585\) | 8.28437 | + | 9.43859i | 0.342517 | + | 0.390238i | ||||
\(586\) | − | 18.5515i | − | 0.766354i | ||||||
\(587\) | 21.0591 | − | 5.64276i | 0.869201 | − | 0.232902i | 0.203459 | − | 0.979083i | \(-0.434782\pi\) |
0.665742 | + | 0.746182i | \(0.268115\pi\) | |||||||
\(588\) | −3.15946 | − | 6.24643i | −0.130294 | − | 0.257598i | ||||
\(589\) | 0.202998 | − | 0.117201i | 0.00836440 | − | 0.00482919i | ||||
\(590\) | −13.7100 | + | 13.7100i | −0.564430 | + | 0.564430i | ||||
\(591\) | 3.90018 | − | 14.5557i | 0.160432 | − | 0.598741i | ||||
\(592\) | −1.56744 | + | 5.84975i | −0.0644212 | + | 0.240423i | ||||
\(593\) | 31.6701 | − | 31.6701i | 1.30054 | − | 1.30054i | 0.372508 | − | 0.928029i | \(-0.378498\pi\) |
0.928029 | − | 0.372508i | \(-0.121502\pi\) | |||||||
\(594\) | −5.13899 | + | 2.96700i | −0.210855 | + | 0.121737i | ||||
\(595\) | −8.63594 | − | 9.12740i | −0.354039 | − | 0.374187i | ||||
\(596\) | −1.20776 | + | 0.323617i | −0.0494716 | + | 0.0132559i | ||||
\(597\) | 8.61113i | 0.352430i | ||||||||
\(598\) | −0.928415 | − | 1.05777i | −0.0379657 | − | 0.0432553i | ||||
\(599\) | 23.5065 | 0.960451 | 0.480226 | − | 0.877145i | \(-0.340555\pi\) | ||||
0.480226 | + | 0.877145i | \(0.340555\pi\) | |||||||
\(600\) | −6.88911 | + | 1.84593i | −0.281247 | + | 0.0753598i | ||||
\(601\) | 41.2432 | + | 23.8118i | 1.68234 | + | 0.971302i | 0.960097 | + | 0.279666i | \(0.0902238\pi\) |
0.722247 | + | 0.691636i | \(0.243110\pi\) | |||||||
\(602\) | −6.25138 | + | 1.49104i | −0.254787 | + | 0.0607703i | ||||
\(603\) | −3.79410 | + | 3.79410i | −0.154508 | + | 0.154508i | ||||
\(604\) | −14.6174 | − | 3.91673i | −0.594775 | − | 0.159370i | ||||
\(605\) | 81.4608 | + | 21.8274i | 3.31185 | + | 0.887408i | ||||
\(606\) | −12.5373 | − | 12.5373i | −0.509294 | − | 0.509294i | ||||
\(607\) | −1.65889 | + | 0.957758i | −0.0673321 | + | 0.0388742i | −0.533288 | − | 0.845934i | \(-0.679044\pi\) |
0.465956 | + | 0.884808i | \(0.345710\pi\) | |||||||
\(608\) | −0.392429 | + | 0.679706i | −0.0159151 | + | 0.0275657i | ||||
\(609\) | −0.503633 | + | 18.2034i | −0.0204083 | + | 0.737638i | ||||
\(610\) | − | 33.7258i | − | 1.36552i | ||||||
\(611\) | 6.82458 | + | 34.2351i | 0.276093 | + | 1.38500i | ||||
\(612\) | − | 1.36351i | − | 0.0551166i | ||||||
\(613\) | −0.684906 | − | 2.55611i | −0.0276631 | − | 0.103240i | 0.950714 | − | 0.310069i | \(-0.100352\pi\) |
−0.978377 | + | 0.206829i | \(0.933686\pi\) | |||||||
\(614\) | 2.95591 | + | 1.70659i | 0.119291 | + | 0.0688725i | ||||
\(615\) | −6.29974 | − | 10.9115i | −0.254030 | − | 0.439993i | ||||
\(616\) | −13.8084 | + | 7.47091i | −0.556356 | + | 0.301011i | ||||
\(617\) | −3.04305 | − | 0.815383i | −0.122509 | − | 0.0328261i | 0.197044 | − | 0.980395i | \(-0.436866\pi\) |
−0.319552 | + | 0.947569i | \(0.603533\pi\) | |||||||
\(618\) | −0.763084 | + | 2.84787i | −0.0306958 | + | 0.114558i | ||||
\(619\) | −23.7062 | + | 23.7062i | −0.952831 | + | 0.952831i | −0.998937 | − | 0.0461053i | \(-0.985319\pi\) |
0.0461053 | + | 0.998937i | \(0.485319\pi\) | |||||||
\(620\) | 0.520128 | + | 0.900888i | 0.0208888 | + | 0.0361805i | ||||
\(621\) | −0.195174 | + | 0.338051i | −0.00783205 | + | 0.0135655i | ||||
\(622\) | 1.01092 | + | 3.77280i | 0.0405342 | + | 0.151276i | ||||
\(623\) | −14.1216 | − | 4.20576i | −0.565772 | − | 0.168500i | ||||
\(624\) | −0.234317 | + | 3.59793i | −0.00938020 | + | 0.144032i | ||||
\(625\) | 9.79335 | 0.391734 | ||||||||
\(626\) | −29.2551 | + | 7.83889i | −1.16927 | + | 0.313305i | ||||
\(627\) | −2.32867 | + | 4.03337i | −0.0929981 | + | 0.161077i | ||||
\(628\) | −7.27036 | − | 12.5926i | −0.290119 | − | 0.502501i | ||||
\(629\) | −5.83897 | − | 5.83897i | −0.232815 | − | 0.232815i | ||||
\(630\) | 4.82670 | − | 7.85035i | 0.192300 | − | 0.312765i | ||||
\(631\) | 0.430633 | − | 1.60714i | 0.0171432 | − | 0.0639794i | −0.956824 | − | 0.290667i | \(-0.906123\pi\) |
0.973968 | + | 0.226687i | \(0.0727896\pi\) | |||||||
\(632\) | −6.54579 | − | 6.54579i | −0.260377 | − | 0.260377i | ||||
\(633\) | 4.26725 | − | 2.46370i | 0.169608 | − | 0.0979231i | ||||
\(634\) | −20.1180 | − | 11.6151i | −0.798987 | − | 0.461295i | ||||
\(635\) | −11.7417 | − | 43.8208i | −0.465957 | − | 1.73897i | ||||
\(636\) | 9.73688 | 0.386093 | ||||||||
\(637\) | −25.0563 | − | 3.03026i | −0.992766 | − | 0.120063i | ||||
\(638\) | 40.8429 | 1.61698 | ||||||||
\(639\) | 3.45324 | + | 12.8877i | 0.136608 | + | 0.509828i | ||||
\(640\) | −3.01647 | − | 1.74156i | −0.119237 | − | 0.0688412i | ||||
\(641\) | −10.3277 | + | 5.96272i | −0.407921 | + | 0.235513i | −0.689896 | − | 0.723908i | \(-0.742344\pi\) |
0.281975 | + | 0.959422i | \(0.409010\pi\) | |||||||
\(642\) | 1.93800 | + | 1.93800i | 0.0764866 | + | 0.0764866i | ||||
\(643\) | −6.28890 | + | 23.4705i | −0.248010 | + | 0.925585i | 0.723837 | + | 0.689971i | \(0.242377\pi\) |
−0.971847 | + | 0.235614i | \(0.924290\pi\) | |||||||
\(644\) | −0.540919 | + | 0.879775i | −0.0213152 | + | 0.0346680i | ||||
\(645\) | −5.98267 | − | 5.98267i | −0.235567 | − | 0.235567i | ||||
\(646\) | −0.535080 | − | 0.926786i | −0.0210525 | − | 0.0364639i | ||||
\(647\) | 22.1120 | − | 38.2991i | 0.869312 | − | 1.50569i | 0.00661029 | − | 0.999978i | \(-0.497896\pi\) |
0.862701 | − | 0.505714i | \(-0.168771\pi\) | |||||||
\(648\) | 0.965926 | − | 0.258819i | 0.0379452 | − | 0.0101674i | ||||
\(649\) | −33.0316 | −1.29661 | ||||||||
\(650\) | −8.25577 | + | 24.3540i | −0.323818 | + | 0.955243i | ||||
\(651\) | −0.757297 | − | 0.225541i | −0.0296808 | − | 0.00883967i | ||||
\(652\) | 4.75964 | + | 17.7632i | 0.186402 | + | 0.695662i | ||||
\(653\) | −8.80949 | + | 15.2585i | −0.344742 | + | 0.597111i | −0.985307 | − | 0.170793i | \(-0.945367\pi\) |
0.640565 | + | 0.767904i | \(0.278700\pi\) | |||||||
\(654\) | 4.08285 | + | 7.07171i | 0.159652 | + | 0.276526i | ||||
\(655\) | 55.4497 | − | 55.4497i | 2.16660 | − | 2.16660i | ||||
\(656\) | 0.936225 | − | 3.49404i | 0.0365534 | − | 0.136419i | ||||
\(657\) | 6.96366 | + | 1.86591i | 0.271678 | + | 0.0727960i | ||||
\(658\) | 22.5298 | − | 12.1895i | 0.878303 | − | 0.475198i | ||||
\(659\) | −19.7135 | − | 34.1447i | −0.767928 | − | 1.33009i | −0.938685 | − | 0.344777i | \(-0.887955\pi\) |
0.170757 | − | 0.985313i | \(-0.445379\pi\) | |||||||
\(660\) | −17.8997 | − | 10.3344i | −0.696746 | − | 0.402267i | ||||
\(661\) | −2.09098 | − | 7.80365i | −0.0813297 | − | 0.303527i | 0.913264 | − | 0.407368i | \(-0.133553\pi\) |
−0.994594 | + | 0.103841i | \(0.966887\pi\) | |||||||
\(662\) | − | 29.9217i | − | 1.16294i | ||||||
\(663\) | −4.08881 | − | 2.72960i | −0.158796 | − | 0.106009i | ||||
\(664\) | − | 13.2062i | − | 0.512500i | ||||||
\(665\) | 0.200035 | − | 7.23006i | 0.00775701 | − | 0.280370i | ||||
\(666\) | 3.02805 | − | 5.24474i | 0.117335 | − | 0.203230i | ||||
\(667\) | 2.32675 | − | 1.34335i | 0.0900923 | − | 0.0520148i | ||||
\(668\) | −16.3276 | − | 16.3276i | −0.631733 | − | 0.631733i | ||||
\(669\) | −11.3141 | − | 3.03159i | −0.437427 | − | 0.117208i | ||||
\(670\) | −18.0525 | − | 4.83714i | −0.697427 | − | 0.186875i | ||||
\(671\) | 40.6281 | − | 40.6281i | 1.56843 | − | 1.56843i | ||||
\(672\) | 2.57356 | − | 0.613830i | 0.0992772 | − | 0.0236790i | ||||
\(673\) | 20.2298 | + | 11.6797i | 0.779803 | + | 0.450219i | 0.836360 | − | 0.548180i | \(-0.184679\pi\) |
−0.0565577 | + | 0.998399i | \(0.518012\pi\) | |||||||
\(674\) | −20.9823 | + | 5.62220i | −0.808209 | + | 0.216559i | ||||
\(675\) | 7.13213 | 0.274516 | ||||||||
\(676\) | 10.3202 | + | 7.90531i | 0.396930 | + | 0.304051i | ||||
\(677\) | − | 42.4364i | − | 1.63097i | −0.578782 | − | 0.815483i | \(-0.696472\pi\) | ||
0.578782 | − | 0.815483i | \(-0.303528\pi\) | |||||||
\(678\) | 6.13467 | − | 1.64378i | 0.235601 | − | 0.0631290i | ||||
\(679\) | 24.2219 | + | 25.6003i | 0.929551 | + | 0.982450i | ||||
\(680\) | 4.11299 | − | 2.37463i | 0.157726 | − | 0.0910631i | ||||
\(681\) | −4.90439 | + | 4.90439i | −0.187936 | + | 0.187936i | ||||
\(682\) | −0.458685 | + | 1.71184i | −0.0175640 | + | 0.0655496i | ||||
\(683\) | 3.84079 | − | 14.3340i | 0.146964 | − | 0.548476i | −0.852696 | − | 0.522407i | \(-0.825034\pi\) |
0.999660 | − | 0.0260692i | \(-0.00829902\pi\) | |||||||
\(684\) | 0.554978 | − | 0.554978i | 0.0212201 | − | 0.0212201i | ||||
\(685\) | −64.4550 | + | 37.2131i | −2.46270 | + | 1.42184i | ||||
\(686\) | 3.29416 | + | 18.2249i | 0.125772 | + | 0.695832i | ||||
\(687\) | −1.13757 | + | 0.304811i | −0.0434010 | + | 0.0116293i | ||||
\(688\) | − | 2.42908i | − | 0.0926078i | ||||||
\(689\) | 19.4922 | − | 29.1984i | 0.742592 | − | 1.11237i | ||||
\(690\) | −1.35963 | −0.0517601 | ||||||||
\(691\) | −41.4261 | + | 11.1001i | −1.57592 | + | 0.422267i | −0.937660 | − | 0.347553i | \(-0.887013\pi\) |
−0.638261 | + | 0.769820i | \(0.720346\pi\) | |||||||
\(692\) | −6.27896 | − | 3.62516i | −0.238690 | − | 0.137808i | ||||
\(693\) | 15.2715 | − | 3.64247i | 0.580116 | − | 0.138366i | ||||
\(694\) | −19.3815 | + | 19.3815i | −0.735712 | + | 0.735712i | ||||
\(695\) | 51.4290 | + | 13.7804i | 1.95081 | + | 0.522719i | ||||
\(696\) | −6.64833 | − | 1.78141i | −0.252004 | − | 0.0675244i | ||||
\(697\) | 3.48760 | + | 3.48760i | 0.132102 | + | 0.132102i | ||||
\(698\) | 6.73835 | − | 3.89039i | 0.255050 | − | 0.147253i | ||||
\(699\) | 3.41788 | − | 5.91995i | 0.129276 | − | 0.223913i | ||||
\(700\) | 18.8626 | + | 0.521873i | 0.712940 | + | 0.0197250i | ||||
\(701\) | − | 21.6520i | − | 0.817783i | −0.912583 | − | 0.408892i | \(-0.865915\pi\) | ||
0.912583 | − | 0.408892i | \(-0.134085\pi\) | |||||||
\(702\) | 1.15755 | − | 3.41469i | 0.0436888 | − | 0.128879i | ||||
\(703\) | − | 4.75318i | − | 0.179269i | ||||||
\(704\) | −1.53583 | − | 5.73180i | −0.0578838 | − | 0.216025i | ||||
\(705\) | 29.2052 | + | 16.8616i | 1.09993 | + | 0.635046i | ||||
\(706\) | 1.18903 | + | 2.05947i | 0.0447499 | + | 0.0775091i | ||||
\(707\) | 22.3227 | + | 41.2587i | 0.839530 | + | 1.55169i | ||||
\(708\) | 5.37683 | + | 1.44072i | 0.202074 | + | 0.0541455i | ||||
\(709\) | −3.84427 | + | 14.3470i | −0.144375 | + | 0.538813i | 0.855408 | + | 0.517955i | \(0.173307\pi\) |
−0.999782 | + | 0.0208583i | \(0.993360\pi\) | |||||||
\(710\) | −32.8612 | + | 32.8612i | −1.23326 | + | 1.23326i | ||||
\(711\) | 4.62857 | + | 8.01692i | 0.173585 | + | 0.300658i | ||||
\(712\) | 2.78458 | − | 4.82304i | 0.104357 | − | 0.180751i | ||||
\(713\) | 0.0301730 | + | 0.112607i | 0.00112999 | + | 0.00421717i | ||||
\(714\) | −1.02971 | + | 3.45743i | −0.0385358 | + | 0.129391i | ||||
\(715\) | −66.8235 | + | 32.9883i | −2.49906 | + | 1.23369i | ||||
\(716\) | 15.0366 | 0.561945 | ||||||||
\(717\) | −9.38532 | + | 2.51479i | −0.350501 | + | 0.0939165i | ||||
\(718\) | −8.67678 | + | 15.0286i | −0.323814 | + | 0.560863i | ||||
\(719\) | 19.3705 | + | 33.5507i | 0.722399 | + | 1.25123i | 0.960036 | + | 0.279877i | \(0.0902938\pi\) |
−0.237637 | + | 0.971354i | \(0.576373\pi\) | |||||||
\(720\) | 2.46294 | + | 2.46294i | 0.0917883 | + | 0.0917883i | ||||
\(721\) | 4.08562 | − | 6.64502i | 0.152156 | − | 0.247474i | ||||
\(722\) | −4.75813 | + | 17.7576i | −0.177079 | + | 0.660869i | ||||
\(723\) | −2.77290 | − | 2.77290i | −0.103125 | − | 0.103125i | ||||
\(724\) | 6.90125 | − | 3.98444i | 0.256483 | − | 0.148081i | ||||
\(725\) | −42.5127 | − | 24.5447i | −1.57888 | − | 0.911568i | ||||
\(726\) | −6.26661 | − | 23.3873i | −0.232576 | − | 0.867984i | ||||
\(727\) | 9.19936 | 0.341186 | 0.170593 | − | 0.985342i | \(-0.445432\pi\) | ||||
0.170593 | + | 0.985342i | \(0.445432\pi\) | |||||||
\(728\) | 3.31127 | − | 8.94626i | 0.122724 | − | 0.331570i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 6.49918 | + | 24.2553i | 0.240545 | + | 0.897728i | ||||
\(731\) | 2.86834 | + | 1.65604i | 0.106089 | + | 0.0612507i | ||||
\(732\) | −8.38542 | + | 4.84132i | −0.309934 | + | 0.178940i | ||||
\(733\) | −26.3545 | − | 26.3545i | −0.973426 | − | 0.973426i | 0.0262295 | − | 0.999656i | \(-0.491650\pi\) |
−0.999656 | + | 0.0262295i | \(0.991650\pi\) | |||||||
\(734\) | 8.11542 | − | 30.2872i | 0.299546 | − | 1.11792i | ||||
\(735\) | −18.1675 | + | 16.2609i | −0.670117 | + | 0.599794i | ||||
\(736\) | −0.276017 | − | 0.276017i | −0.0101741 | − | 0.0101741i | ||||
\(737\) | −15.9199 | − | 27.5741i | −0.586418 | − | 1.01571i | ||||
\(738\) | −1.80865 | + | 3.13267i | −0.0665772 | + | 0.115315i | ||||
\(739\) | 10.3275 | − | 2.76726i | 0.379905 | − | 0.101795i | −0.0638126 | − | 0.997962i | \(-0.520326\pi\) |
0.443718 | + | 0.896167i | \(0.353659\pi\) | |||||||
\(740\) | 21.0941 | 0.775436 | ||||||||
\(741\) | −0.553230 | − | 2.77524i | −0.0203234 | − | 0.101951i | ||||
\(742\) | −24.6897 | − | 7.35317i | −0.906386 | − | 0.269944i | ||||
\(743\) | 7.78997 | + | 29.0726i | 0.285786 | + | 1.06657i | 0.948263 | + | 0.317486i | \(0.102839\pi\) |
−0.662477 | + | 0.749083i | \(0.730495\pi\) | |||||||
\(744\) | 0.149328 | − | 0.258644i | 0.00547463 | − | 0.00948234i | ||||
\(745\) | 2.17758 | + | 3.77168i | 0.0797804 | + | 0.138184i | ||||
\(746\) | 17.4720 | − | 17.4720i | 0.639695 | − | 0.639695i | ||||
\(747\) | −3.41801 | + | 12.7562i | −0.125059 | + | 0.466725i | ||||
\(748\) | 7.81537 | + | 2.09412i | 0.285758 | + | 0.0765687i | ||||
\(749\) | −3.45059 | − | 6.37769i | −0.126082 | − | 0.233036i | ||||
\(750\) | 3.71324 | + | 6.43152i | 0.135588 | + | 0.234846i | ||||
\(751\) | 25.9043 | + | 14.9559i | 0.945263 | + | 0.545748i | 0.891606 | − | 0.452812i | \(-0.149579\pi\) |
0.0536565 | + | 0.998559i | \(0.482912\pi\) | |||||||
\(752\) | 2.50586 | + | 9.35201i | 0.0913795 | + | 0.341033i | ||||
\(753\) | − | 19.9423i | − | 0.726737i | ||||||
\(754\) | −18.6512 | + | 16.3704i | −0.679237 | + | 0.596175i | ||||
\(755\) | 52.7104i | 1.91833i | ||||||||
\(756\) | −2.64474 | − | 0.0731721i | −0.0961882 | − | 0.00266124i | ||||
\(757\) | 0.589796 | − | 1.02156i | 0.0214365 | − | 0.0371291i | −0.855108 | − | 0.518450i | \(-0.826509\pi\) |
0.876545 | + | 0.481321i | \(0.159843\pi\) | |||||||
\(758\) | −15.9210 | + | 9.19200i | −0.578277 | + | 0.333868i | ||||
\(759\) | −1.63789 | − | 1.63789i | −0.0594515 | − | 0.0594515i | ||||
\(760\) | 2.64060 | + | 0.707547i | 0.0957847 | + | 0.0256654i | ||||
\(761\) | −33.8587 | − | 9.07242i | −1.22738 | − | 0.328875i | −0.413820 | − | 0.910359i | \(-0.635806\pi\) |
−0.813558 | + | 0.581484i | \(0.802472\pi\) | |||||||
\(762\) | −9.20985 | + | 9.20985i | −0.333638 | + | 0.333638i | ||||
\(763\) | −5.01235 | − | 21.0149i | −0.181459 | − | 0.760791i | ||||
\(764\) | 7.68204 | + | 4.43523i | 0.277927 | + | 0.160461i | ||||
\(765\) | −4.58744 | + | 1.22920i | −0.165859 | + | 0.0444419i | ||||
\(766\) | 9.68243 | 0.349841 | ||||||||
\(767\) | 15.0842 | − | 13.2396i | 0.544658 | − | 0.478053i | ||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 31.5481 | − | 8.45328i | 1.13765 | − | 0.304833i | 0.359646 | − | 0.933089i | \(-0.382898\pi\) |
0.778007 | + | 0.628256i | \(0.216231\pi\) | |||||||
\(770\) | 37.5836 | + | 39.7225i | 1.35442 | + | 1.43150i | ||||
\(771\) | −12.6924 | + | 7.32794i | −0.457105 | + | 0.263909i | ||||
\(772\) | −2.59622 | + | 2.59622i | −0.0934402 | + | 0.0934402i | ||||
\(773\) | −10.6566 | + | 39.7711i | −0.383292 | + | 1.43047i | 0.457549 | + | 0.889184i | \(0.348727\pi\) |
−0.840841 | + | 0.541282i | \(0.817939\pi\) | |||||||
\(774\) | −0.628692 | + | 2.34631i | −0.0225979 | + | 0.0843364i | ||||
\(775\) | 1.50618 | − | 1.50618i | 0.0541034 | − | 0.0541034i | ||||
\(776\) | −11.5360 | + | 6.66032i | −0.414119 | + | 0.239092i | ||||
\(777\) | −11.6389 | + | 11.0123i | −0.417545 | + | 0.395062i | ||||
\(778\) | −12.8508 | + | 3.44335i | −0.460722 | + | 0.123450i | ||||
\(779\) | 2.83906i | 0.101720i | ||||||||
\(780\) | 12.3162 | − | 2.45518i | 0.440992 | − | 0.0879096i | ||||
\(781\) | −79.1731 | −2.83303 | ||||||||
\(782\) | 0.514107 | − | 0.137754i | 0.0183844 | − | 0.00492609i | ||||
\(783\) | 5.96073 | + | 3.44143i | 0.213019 | + | 0.122987i | ||||
\(784\) | −6.98929 | − | 0.387042i | −0.249618 | − | 0.0138229i | ||||
\(785\) | −35.8129 | + | 35.8129i | −1.27822 | + | 1.27822i | ||||
\(786\) | −21.7465 | − | 5.82696i | −0.775672 | − | 0.207841i | ||||
\(787\) | −26.8450 | − | 7.19309i | −0.956920 | − | 0.256406i | −0.253624 | − | 0.967303i | \(-0.581623\pi\) |
−0.703296 | + | 0.710897i | \(0.748289\pi\) | |||||||
\(788\) | −10.6555 | − | 10.6555i | −0.379586 | − | 0.379586i | ||||
\(789\) | −10.8813 | + | 6.28232i | −0.387384 | + | 0.223656i | ||||
\(790\) | −16.1219 | + | 27.9239i | −0.573590 | + | 0.993488i | ||||
\(791\) | −16.7970 | − | 0.464722i | −0.597231 | − | 0.0165236i | ||||
\(792\) | 5.93400i | 0.210855i | ||||||||
\(793\) | −2.26881 | + | 34.8375i | −0.0805679 | + | 1.23712i | ||||
\(794\) | 20.9294i | 0.742756i | ||||||||
\(795\) | −8.77778 | − | 32.7591i | −0.311316 | − | 1.16185i | ||||
\(796\) | 7.45745 | + | 4.30556i | 0.264322 | + | 0.152607i | ||||
\(797\) | −2.40148 | − | 4.15948i | −0.0850646 | − | 0.147336i | 0.820354 | − | 0.571856i | \(-0.193776\pi\) |
−0.905419 | + | 0.424520i | \(0.860443\pi\) | |||||||
\(798\) | −1.82636 | + | 0.988136i | −0.0646525 | + | 0.0349796i | ||||
\(799\) | −12.7516 | − | 3.41677i | −0.451118 | − | 0.120877i | ||||
\(800\) | −1.84593 | + | 6.88911i | −0.0652635 | + | 0.243567i | ||||
\(801\) | −3.93799 | + | 3.93799i | −0.139142 | + | 0.139142i | ||||
\(802\) | −6.14113 | − | 10.6367i | −0.216851 | − | 0.375597i | ||||
\(803\) | −21.3900 | + | 37.0486i | −0.754837 | + | 1.30742i | ||||
\(804\) | 1.38874 | + | 5.18284i | 0.0489770 | + | 0.182785i | ||||
\(805\) | 3.44758 | + | 1.02677i | 0.121511 | + | 0.0361890i | ||||
\(806\) | −0.476667 | − | 0.965572i | −0.0167899 | − | 0.0340108i | ||||
\(807\) | 21.5692 | 0.759273 | ||||||||
\(808\) | −17.1263 | + | 4.58898i | −0.602501 | + | 0.161440i | ||||
\(809\) | 25.3509 | − | 43.9090i | 0.891290 | − | 1.54376i | 0.0529601 | − | 0.998597i | \(-0.483134\pi\) |
0.838330 | − | 0.545163i | \(-0.183532\pi\) | |||||||
\(810\) | −1.74156 | − | 3.01647i | −0.0611922 | − | 0.105988i | ||||
\(811\) | −10.8776 | − | 10.8776i | −0.381963 | − | 0.381963i | 0.489846 | − | 0.871809i | \(-0.337053\pi\) |
−0.871809 | + | 0.489846i | \(0.837053\pi\) | |||||||
\(812\) | 15.5128 | + | 9.53784i | 0.544391 | + | 0.334713i | ||||
\(813\) | −1.23435 | + | 4.60664i | −0.0432904 | + | 0.161562i | ||||
\(814\) | 25.4112 | + | 25.4112i | 0.890663 | + | 0.890663i | ||||
\(815\) | 55.4724 | − | 32.0270i | 1.94311 | − | 1.12186i | ||||
\(816\) | −1.18083 | − | 0.681755i | −0.0413375 | − | 0.0238662i | ||||
\(817\) | 0.493433 | + | 1.84152i | 0.0172630 | + | 0.0644266i | ||||
\(818\) | 4.13880 | 0.144710 | ||||||||
\(819\) | −5.51390 | + | 7.78440i | −0.192671 | + | 0.272009i | ||||
\(820\) | −12.5995 | −0.439993 | ||||||||
\(821\) | −2.20982 | − | 8.24715i | −0.0771231 | − | 0.287828i | 0.916583 | − | 0.399844i | \(-0.130936\pi\) |
−0.993706 | + | 0.112017i | \(0.964269\pi\) | |||||||
\(822\) | 18.5050 | + | 10.6838i | 0.645435 | + | 0.372642i | ||||
\(823\) | 17.0903 | − | 9.86707i | 0.595729 | − | 0.343944i | −0.171630 | − | 0.985161i | \(-0.554903\pi\) |
0.767360 | + | 0.641217i | \(0.221570\pi\) | |||||||
\(824\) | 2.08479 | + | 2.08479i | 0.0726269 | + | 0.0726269i | ||||
\(825\) | −10.9538 | + | 40.8800i | −0.381361 | + | 1.42326i | ||||
\(826\) | −12.5459 | − | 7.71373i | −0.436529 | − | 0.268395i | ||||
\(827\) | 8.80285 | + | 8.80285i | 0.306105 | + | 0.306105i | 0.843397 | − | 0.537292i | \(-0.180553\pi\) |
−0.537292 | + | 0.843397i | \(0.680553\pi\) | |||||||
\(828\) | 0.195174 | + | 0.338051i | 0.00678275 | + | 0.0117481i | ||||
\(829\) | −11.2622 | + | 19.5067i | −0.391152 | + | 0.677495i | −0.992602 | − | 0.121416i | \(-0.961257\pi\) |
0.601450 | + | 0.798910i | \(0.294590\pi\) | |||||||
\(830\) | −44.4314 | + | 11.9054i | −1.54224 | + | 0.413241i | ||||
\(831\) | 27.1370 | 0.941371 | ||||||||
\(832\) | 2.99874 | + | 2.00189i | 0.103963 | + | 0.0694030i | ||||
\(833\) | 5.22202 | − | 7.98933i | 0.180932 | − | 0.276814i | ||||
\(834\) | −3.95633 | − | 14.7652i | −0.136996 | − | 0.511278i | ||||
\(835\) | −40.2138 | + | 69.6524i | −1.39166 | + | 2.41042i | ||||
\(836\) | 2.32867 | + | 4.03337i | 0.0805387 | + | 0.139497i | ||||
\(837\) | −0.211182 | + | 0.211182i | −0.00729951 | + | 0.00729951i | ||||
\(838\) | 8.03695 | − | 29.9943i | 0.277632 | − | 1.03614i | ||||
\(839\) | −18.1332 | − | 4.85878i | −0.626029 | − | 0.167744i | −0.0681618 | − | 0.997674i | \(-0.521713\pi\) |
−0.557867 | + | 0.829930i | \(0.688380\pi\) | |||||||
\(840\) | −4.38525 | − | 8.10521i | −0.151306 | − | 0.279656i | ||||
\(841\) | −9.18687 | − | 15.9121i | −0.316789 | − | 0.548694i | ||||
\(842\) | 29.1371 | + | 16.8223i | 1.00413 | + | 0.579736i | ||||
\(843\) | 4.44043 | + | 16.5719i | 0.152937 | + | 0.570768i | ||||
\(844\) | − | 4.92739i | − | 0.169608i | ||||||
\(845\) | 17.2933 | − | 41.8482i | 0.594908 | − | 1.43962i | ||||
\(846\) | − | 9.68192i | − | 0.332871i | ||||||
\(847\) | −1.77167 | + | 64.0353i | −0.0608752 | + | 2.20028i | ||||
\(848\) | 4.86844 | − | 8.43239i | 0.167183 | − | 0.289569i | ||||
\(849\) | 6.09314 | − | 3.51788i | 0.209116 | − | 0.120733i | ||||
\(850\) | −6.87642 | − | 6.87642i | −0.235859 | − | 0.235859i | ||||
\(851\) | 2.28343 | + | 0.611844i | 0.0782751 | + | 0.0209737i | ||||
\(852\) | 12.8877 | + | 3.45324i | 0.441524 | + | 0.118306i | ||||
\(853\) | 0.958043 | − | 0.958043i | 0.0328028 | − | 0.0328028i | −0.690515 | − | 0.723318i | \(-0.742616\pi\) |
0.723318 | + | 0.690515i | \(0.242616\pi\) | |||||||
\(854\) | 24.9189 | − | 5.94350i | 0.852706 | − | 0.203382i | ||||
\(855\) | −2.36750 | − | 1.36688i | −0.0809668 | − | 0.0467462i | ||||
\(856\) | 2.64735 | − | 0.709356i | 0.0904846 | − | 0.0242453i | ||||
\(857\) | −23.9274 | −0.817346 | −0.408673 | − | 0.912681i | \(-0.634008\pi\) | ||||
−0.408673 | + | 0.912681i | \(0.634008\pi\) | |||||||
\(858\) | 17.7945 | + | 11.8792i | 0.607495 | + | 0.405549i | ||||
\(859\) | − | 9.89523i | − | 0.337621i | −0.985649 | − | 0.168810i | \(-0.946007\pi\) | ||
0.985649 | − | 0.168810i | \(-0.0539926\pi\) | |||||||
\(860\) | −8.17248 | + | 2.18981i | −0.278679 | + | 0.0746719i | ||||
\(861\) | 6.95191 | − | 6.57759i | 0.236921 | − | 0.224164i | ||||
\(862\) | −7.98436 | + | 4.60977i | −0.271948 | + | 0.157010i | ||||
\(863\) | −24.3259 | + | 24.3259i | −0.828065 | + | 0.828065i | −0.987249 | − | 0.159184i | \(-0.949114\pi\) |
0.159184 | + | 0.987249i | \(0.449114\pi\) | |||||||
\(864\) | 0.258819 | − | 0.965926i | 0.00880520 | − | 0.0328615i | ||||
\(865\) | −6.53614 | + | 24.3932i | −0.222236 | + | 0.829395i | ||||
\(866\) | 12.8219 | − | 12.8219i | 0.435707 | − | 0.435707i | ||||
\(867\) | −13.1124 | + | 7.57042i | −0.445319 | + | 0.257105i | ||||
\(868\) | −0.573973 | + | 0.543068i | −0.0194819 | + | 0.0184329i | ||||
\(869\) | −53.0601 | + | 14.2174i | −1.79994 | + | 0.482292i | ||||
\(870\) | 23.9738i | 0.812789i | ||||||||
\(871\) | 18.3221 | + | 6.21101i | 0.620820 | + | 0.210452i | ||||
\(872\) | 8.16570 | 0.276526 | ||||||||
\(873\) | 12.8667 | − | 3.44763i | 0.435473 | − | 0.116685i | ||||
\(874\) | 0.265321 | + | 0.153183i | 0.00897463 | + | 0.00518151i | ||||
\(875\) | −4.55859 | − | 19.1125i | −0.154109 | − | 0.646120i | ||||
\(876\) | 5.09775 | − | 5.09775i | 0.172237 | − | 0.172237i | ||||
\(877\) | 5.13739 | + | 1.37656i | 0.173477 | + | 0.0464831i | 0.344512 | − | 0.938782i | \(-0.388044\pi\) |
−0.171035 | + | 0.985265i | \(0.554711\pi\) | |||||||
\(878\) | 32.9141 | + | 8.81931i | 1.11080 | + | 0.297637i | ||||
\(879\) | 13.1179 | + | 13.1179i | 0.442455 | + | 0.442455i | ||||
\(880\) | −17.8997 | + | 10.3344i | −0.603400 | + | 0.348373i | ||||
\(881\) | −26.3870 | + | 45.7036i | −0.889001 | + | 1.53979i | −0.0479427 | + | 0.998850i | \(0.515266\pi\) |
−0.841058 | + | 0.540945i | \(0.818067\pi\) | |||||||
\(882\) | 6.65096 | + | 2.18282i | 0.223950 | + | 0.0734992i | ||||
\(883\) | 5.02529i | 0.169115i | 0.996419 | + | 0.0845573i | \(0.0269476\pi\) | ||||
−0.996419 | + | 0.0845573i | \(0.973052\pi\) | |||||||
\(884\) | −4.40830 | + | 2.17622i | −0.148267 | + | 0.0731941i | ||||
\(885\) | − | 19.3888i | − | 0.651748i | ||||||
\(886\) | −9.61649 | − | 35.8892i | −0.323072 | − | 1.20572i | ||||
\(887\) | −0.688294 | − | 0.397387i | −0.0231107 | − | 0.0133429i | 0.488400 | − | 0.872620i | \(-0.337581\pi\) |
−0.511511 | + | 0.859277i | \(0.670914\pi\) | |||||||
\(888\) | −3.02805 | − | 5.24474i | −0.101615 | − | 0.176002i | ||||
\(889\) | 30.3084 | − | 16.3981i | 1.01651 | − | 0.549975i | ||||
\(890\) | −18.7371 | − | 5.02059i | −0.628069 | − | 0.168291i | ||||
\(891\) | 1.53583 | − | 5.73180i | 0.0514523 | − | 0.192023i | ||||
\(892\) | −8.28247 | + | 8.28247i | −0.277318 | + | 0.277318i | ||||
\(893\) | −3.79946 | − | 6.58086i | −0.127144 | − | 0.220220i | ||||
\(894\) | 0.625181 | − | 1.08284i | 0.0209092 | − | 0.0362158i | ||||
\(895\) | −13.5555 | − | 50.5898i | −0.453110 | − | 1.69103i | ||||
\(896\) | 0.755188 | − | 2.53568i | 0.0252291 | − | 0.0847112i | ||||
\(897\) | 1.40444 | + | 0.0914651i | 0.0468929 | + | 0.00305393i | ||||
\(898\) | 12.0900 | 0.403449 | ||||||||
\(899\) | 1.98556 | − | 0.532030i | 0.0662223 | − | 0.0177442i | ||||
\(900\) | 3.56607 | − | 6.17661i | 0.118869 | − | 0.205887i | ||||
\(901\) | 6.63817 | + | 11.4976i | 0.221149 | + | 0.383042i | ||||
\(902\) | −15.1781 | − | 15.1781i | −0.505374 | − | 0.505374i | ||||
\(903\) | 3.36607 | − | 5.47472i | 0.112016 | − | 0.182187i | ||||
\(904\) | 1.64378 | − | 6.13467i | 0.0546713 | − | 0.204036i | ||||
\(905\) | −19.6269 | − | 19.6269i | −0.652419 | − | 0.652419i | ||||
\(906\) | 13.1056 | − | 7.56655i | 0.435406 | − | 0.251382i | ||||
\(907\) | 7.86742 | + | 4.54226i | 0.261233 | + | 0.150823i | 0.624897 | − | 0.780707i | \(-0.285141\pi\) |
−0.363664 | + | 0.931530i | \(0.618474\pi\) | |||||||
\(908\) | 1.79513 | + | 6.69952i | 0.0595735 | + | 0.222331i | ||||
\(909\) | 17.7305 | 0.588082 | ||||||||
\(910\) | −33.0842 | − | 3.07551i | −1.09673 | − | 0.101952i | ||||
\(911\) | 21.6692 | 0.717933 | 0.358967 | − | 0.933350i | \(-0.383129\pi\) | ||||
0.358967 | + | 0.933350i | \(0.383129\pi\) | |||||||
\(912\) | −0.203136 | − | 0.758114i | −0.00672650 | − | 0.0251037i | ||||
\(913\) | −67.8665 | − | 39.1828i | −2.24605 | − | 1.29676i | ||||
\(914\) | 5.73005 | − | 3.30824i | 0.189533 | − | 0.109427i | ||||
\(915\) | 23.8478 | + | 23.8478i | 0.788383 | + | 0.788383i | ||||
\(916\) | −0.304811 | + | 1.13757i | −0.0100712 | + | 0.0375863i | ||||
\(917\) | 50.7418 | + | 31.1980i | 1.67564 | + | 1.03025i | ||||
\(918\) | 0.964147 | + | 0.964147i | 0.0318216 | + | 0.0318216i | ||||
\(919\) | −14.5126 | − | 25.1366i | −0.478727 | − | 0.829180i | 0.520975 | − | 0.853572i | \(-0.325568\pi\) |
−0.999702 | + | 0.0243920i | \(0.992235\pi\) | |||||||
\(920\) | −0.679813 | + | 1.17747i | −0.0224128 | + | 0.0388201i | ||||
\(921\) | −3.29688 | + | 0.883398i | −0.108636 | + | 0.0291089i | ||||
\(922\) | 23.2139 | 0.764507 | ||||||||
\(923\) | 36.1550 | − | 31.7337i | 1.19006 | − | 1.04453i | ||||
\(924\) | 4.48128 | − | 15.0467i | 0.147423 | − | 0.495001i | ||||
\(925\) | −11.1792 | − | 41.7212i | −0.367568 | − | 1.37178i | ||||
\(926\) | 3.22270 | − | 5.58187i | 0.105904 | − | 0.183432i | ||||
\(927\) | −1.47417 | − | 2.55333i | −0.0484180 | − | 0.0838624i | ||||
\(928\) | −4.86692 | + | 4.86692i | −0.159764 | + | 0.159764i | ||||
\(929\) | 2.84426 | − | 10.6149i | 0.0933173 | − | 0.348265i | −0.903442 | − | 0.428711i | \(-0.858968\pi\) |
0.996759 | + | 0.0804463i | \(0.0256345\pi\) | |||||||
\(930\) | −1.00481 | − | 0.269238i | −0.0329490 | − | 0.00882866i | ||||
\(931\) | 5.37730 | − | 1.12635i | 0.176234 | − | 0.0369148i | ||||
\(932\) | −3.41788 | − | 5.91995i | −0.111957 | − | 0.193914i | ||||
\(933\) | −3.38260 | − | 1.95295i | −0.110741 | − | 0.0639366i | ||||
\(934\) | −2.85377 | − | 10.6504i | −0.0933783 | − | 0.348492i | ||||
\(935\) | − | 28.1822i | − | 0.921655i | ||||||
\(936\) | −2.37843 | − | 2.70981i | −0.0777415 | − | 0.0885728i | ||||
\(937\) | − | 1.49801i | − | 0.0489378i | −0.999701 | − | 0.0244689i | \(-0.992211\pi\) | ||
0.999701 | − | 0.0244689i | \(-0.00778947\pi\) | |||||||
\(938\) | 0.392618 | − | 14.1908i | 0.0128194 | − | 0.463346i | ||||
\(939\) | 15.1436 | − | 26.2294i | 0.494192 | − | 0.855966i | ||||
\(940\) | 29.2052 | − | 16.8616i | 0.952569 | − | 0.549966i | ||||
\(941\) | −12.8482 | − | 12.8482i | −0.418841 | − | 0.418841i | 0.465963 | − | 0.884804i | \(-0.345708\pi\) |
−0.884804 | + | 0.465963i | \(0.845708\pi\) | |||||||
\(942\) | 14.0453 | + | 3.76342i | 0.457619 | + | 0.122619i | ||||
\(943\) | −1.36389 | − | 0.365453i | −0.0444143 | − | 0.0119008i | ||||
\(944\) | 3.93612 | − | 3.93612i | 0.128110 | − | 0.128110i | ||||
\(945\) | 2.13804 | + | 8.96402i | 0.0695506 | + | 0.291600i | ||||
\(946\) | −12.4830 | − | 7.20707i | −0.405858 | − | 0.234322i | ||||
\(947\) | −18.3580 | + | 4.91900i | −0.596554 | + | 0.159846i | −0.544447 | − | 0.838795i | \(-0.683260\pi\) |
−0.0521072 | + | 0.998641i | \(0.516594\pi\) | |||||||
\(948\) | 9.25714 | 0.300658 | ||||||||
\(949\) | −5.08169 | − | 25.4920i | −0.164959 | − | 0.827504i | ||||
\(950\) | − | 5.59771i | − | 0.181614i | ||||||
\(951\) | 22.4387 | − | 6.01243i | 0.727624 | − | 0.194966i | ||||
\(952\) | 2.47937 | + | 2.62047i | 0.0803568 | + | 0.0849298i | ||||
\(953\) | −31.5430 | + | 18.2114i | −1.02178 | + | 0.589924i | −0.914619 | − | 0.404318i | \(-0.867509\pi\) |
−0.107160 | + | 0.994242i | \(0.534176\pi\) | |||||||
\(954\) | −6.88502 | + | 6.88502i | −0.222911 | + | 0.222911i | ||||
\(955\) | 7.99670 | − | 29.8441i | 0.258767 | − | 0.965732i | ||||
\(956\) | −2.51479 | + | 9.38532i | −0.0813341 | + | 0.303543i | ||||
\(957\) | −28.8803 | + | 28.8803i | −0.933566 | + | 0.933566i | ||||
\(958\) | −5.31637 | + | 3.06941i | −0.171764 | + | 0.0991682i | ||||
\(959\) | −38.8544 | − | 41.0656i | −1.25467 | − | 1.32608i | ||||
\(960\) | 3.36444 | − | 0.901498i | 0.108587 | − | 0.0290957i | ||||
\(961\) | − | 30.9108i | − | 0.997123i | ||||||
\(962\) | −21.7894 | − | 1.41905i | −0.702520 | − | 0.0457520i | ||||
\(963\) | −2.74074 | −0.0883191 | ||||||||
\(964\) | −3.78785 | + | 1.01495i | −0.121998 | + | 0.0326894i | ||||
\(965\) | 11.0753 | + | 6.39434i | 0.356527 | + | 0.205841i | ||||
\(966\) | −0.239607 | − | 1.00458i | −0.00770922 | − | 0.0323219i | ||||
\(967\) | 12.1331 | − | 12.1331i | 0.390174 | − | 0.390174i | −0.484575 | − | 0.874750i | \(-0.661026\pi\) |
0.874750 | + | 0.484575i | \(0.161026\pi\) | |||||||
\(968\) | −23.3873 | − | 6.26661i | −0.751696 | − | 0.201416i | ||||
\(969\) | 1.03370 | + | 0.276978i | 0.0332071 | + | 0.00889781i | ||||
\(970\) | 32.8079 | + | 32.8079i | 1.05340 | + | 1.05340i | ||||
\(971\) | −12.5245 | + | 7.23103i | −0.401930 | + | 0.232055i | −0.687317 | − | 0.726358i | \(-0.741211\pi\) |
0.285386 | + | 0.958413i | \(0.407878\pi\) | |||||||
\(972\) | −0.500000 | + | 0.866025i | −0.0160375 | + | 0.0277778i | ||||
\(973\) | −1.11851 | + | 40.4277i | −0.0358579 | + | 1.29605i | ||||
\(974\) | 10.9203i | 0.349908i | ||||||||
\(975\) | −11.3832 | − | 23.0586i | −0.364553 | − | 0.738466i | ||||
\(976\) | 9.68265i | 0.309934i | ||||||||
\(977\) | 10.5148 | + | 39.2419i | 0.336400 | + | 1.25546i | 0.902344 | + | 0.431017i | \(0.141845\pi\) |
−0.565944 | + | 0.824443i | \(0.691488\pi\) | |||||||
\(978\) | −15.9261 | − | 9.19492i | −0.509260 | − | 0.294021i | ||||
\(979\) | −16.5237 | − | 28.6199i | −0.528100 | − | 0.914696i | ||||
\(980\) | 4.99865 | + | 23.8639i | 0.159676 | + | 0.762306i | ||||
\(981\) | −7.88746 | − | 2.11344i | −0.251827 | − | 0.0674769i | ||||
\(982\) | 2.12471 | − | 7.92953i | 0.0678023 | − | 0.253041i | ||||
\(983\) | −31.4962 | + | 31.4962i | −1.00457 | + | 1.00457i | −0.00458449 | + | 0.999989i | \(0.501459\pi\) |
−0.999989 | + | 0.00458449i | \(0.998541\pi\) | |||||||
\(984\) | 1.80865 | + | 3.13267i | 0.0576576 | + | 0.0998659i | ||||
\(985\) | −26.2438 | + | 45.4557i | −0.836198 | + | 1.44834i | ||||
\(986\) | −2.42898 | − | 9.06506i | −0.0773544 | − | 0.288690i | ||||
\(987\) | −7.31167 | + | 24.5503i | −0.232733 | + | 0.781444i | ||||
\(988\) | −2.68004 | − | 0.908508i | −0.0852635 | − | 0.0289035i | ||||
\(989\) | −0.948184 | −0.0301505 | ||||||||
\(990\) | 19.9646 | − | 5.34949i | 0.634515 | − | 0.170018i | ||||
\(991\) | 26.2447 | − | 45.4571i | 0.833690 | − | 1.44399i | −0.0614024 | − | 0.998113i | \(-0.519557\pi\) |
0.895093 | − | 0.445880i | \(-0.147109\pi\) | |||||||
\(992\) | −0.149328 | − | 0.258644i | −0.00474117 | − | 0.00821195i | ||||
\(993\) | 21.1578 | + | 21.1578i | 0.671423 | + | 0.671423i | ||||
\(994\) | −30.0712 | − | 18.4889i | −0.953800 | − | 0.586433i | ||||
\(995\) | 7.76291 | − | 28.9716i | 0.246101 | − | 0.918461i | ||||
\(996\) | 9.33819 | + | 9.33819i | 0.295892 | + | 0.295892i | ||||
\(997\) | 32.9828 | − | 19.0426i | 1.04458 | − | 0.603086i | 0.123449 | − | 0.992351i | \(-0.460604\pi\) |
0.921126 | + | 0.389265i | \(0.127271\pi\) | |||||||
\(998\) | 29.6483 | + | 17.1175i | 0.938500 | + | 0.541843i | ||||
\(999\) | 1.56744 | + | 5.84975i | 0.0495915 | + | 0.185078i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bx.a.97.10 | ✓ | 40 | |
7.6 | odd | 2 | 546.2.bx.b.97.6 | yes | 40 | ||
13.11 | odd | 12 | 546.2.bx.b.349.6 | yes | 40 | ||
91.76 | even | 12 | inner | 546.2.bx.a.349.10 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bx.a.97.10 | ✓ | 40 | 1.1 | even | 1 | trivial | |
546.2.bx.a.349.10 | yes | 40 | 91.76 | even | 12 | inner | |
546.2.bx.b.97.6 | yes | 40 | 7.6 | odd | 2 | ||
546.2.bx.b.349.6 | yes | 40 | 13.11 | odd | 12 |