Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(377,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.377");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bf (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 377.6 | ||
Character | \(\chi\) | \(=\) | 930.377 |
Dual form | 930.2.bf.a.893.6 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | −1.45410 | − | 0.941054i | −0.839527 | − | 0.543318i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −1.41418 | − | 1.73208i | −0.632442 | − | 0.774608i | ||||
\(6\) | 1.69363 | − | 0.362781i | 0.691422 | − | 0.148105i | ||||
\(7\) | −1.47385 | + | 0.394917i | −0.557063 | + | 0.149265i | −0.526357 | − | 0.850264i | \(-0.676442\pi\) |
−0.0307066 | + | 0.999528i | \(0.509776\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 1.22883 | + | 2.73678i | 0.409611 | + | 0.912260i | ||||
\(10\) | 2.22474 | + | 0.224784i | 0.703525 | + | 0.0710831i | ||||
\(11\) | −4.08291 | + | 2.35727i | −1.23104 | + | 0.710743i | −0.967247 | − | 0.253836i | \(-0.918308\pi\) |
−0.263796 | + | 0.964579i | \(0.584974\pi\) | |||||||
\(12\) | −0.941054 | + | 1.45410i | −0.271659 | + | 0.419764i | ||||
\(13\) | 5.36364 | + | 1.43718i | 1.48761 | + | 0.398603i | 0.908928 | − | 0.416953i | \(-0.136902\pi\) |
0.578678 | + | 0.815556i | \(0.303569\pi\) | |||||||
\(14\) | 0.762922 | − | 1.32142i | 0.203899 | − | 0.353164i | ||||
\(15\) | 0.426391 | + | 3.84944i | 0.110094 | + | 0.993921i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 0.632802 | + | 2.36165i | 0.153477 | + | 0.572784i | 0.999231 | + | 0.0392107i | \(0.0124844\pi\) |
−0.845754 | + | 0.533573i | \(0.820849\pi\) | |||||||
\(18\) | −2.80411 | − | 1.06628i | −0.660936 | − | 0.251324i | ||||
\(19\) | −4.53715 | − | 2.61953i | −1.04089 | − | 0.600960i | −0.120807 | − | 0.992676i | \(-0.538548\pi\) |
−0.920086 | + | 0.391716i | \(0.871882\pi\) | |||||||
\(20\) | −1.73208 | + | 1.41418i | −0.387304 | + | 0.316221i | ||||
\(21\) | 2.51477 | + | 0.812723i | 0.548768 | + | 0.177351i | ||||
\(22\) | 1.22021 | − | 4.55389i | 0.260150 | − | 0.970893i | ||||
\(23\) | 0.991741 | + | 0.991741i | 0.206792 | + | 0.206792i | 0.802903 | − | 0.596110i | \(-0.203288\pi\) |
−0.596110 | + | 0.802903i | \(0.703288\pi\) | |||||||
\(24\) | −0.362781 | − | 1.69363i | −0.0740523 | − | 0.345711i | ||||
\(25\) | −1.00017 | + | 4.89894i | −0.200035 | + | 0.979789i | ||||
\(26\) | −4.80891 | + | 2.77643i | −0.943105 | + | 0.544502i | ||||
\(27\) | 0.788607 | − | 5.13596i | 0.151767 | − | 0.988416i | ||||
\(28\) | 0.394917 | + | 1.47385i | 0.0746323 | + | 0.278532i | ||||
\(29\) | −1.69082 | −0.313977 | −0.156989 | − | 0.987600i | \(-0.550179\pi\) | ||||
−0.156989 | + | 0.987600i | \(0.550179\pi\) | |||||||
\(30\) | −3.02347 | − | 2.42046i | −0.552007 | − | 0.441914i | ||||
\(31\) | 5.23686 | − | 1.89086i | 0.940567 | − | 0.339608i | ||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | 8.15529 | + | 0.414526i | 1.41965 | + | 0.0721597i | ||||
\(34\) | −2.11740 | − | 1.22248i | −0.363130 | − | 0.209653i | ||||
\(35\) | 2.76832 | + | 1.99434i | 0.467932 | + | 0.337105i | ||||
\(36\) | 2.73678 | − | 1.22883i | 0.456130 | − | 0.204806i | ||||
\(37\) | 8.66376 | − | 2.32145i | 1.42431 | − | 0.381644i | 0.537301 | − | 0.843390i | \(-0.319444\pi\) |
0.887012 | + | 0.461747i | \(0.152777\pi\) | |||||||
\(38\) | 5.06053 | − | 1.35597i | 0.820927 | − | 0.219967i | ||||
\(39\) | −6.44682 | − | 7.13729i | −1.03232 | − | 1.14288i | ||||
\(40\) | 0.224784 | − | 2.22474i | 0.0355415 | − | 0.351762i | ||||
\(41\) | 0.798823 | − | 0.461201i | 0.124755 | − | 0.0720275i | −0.436324 | − | 0.899790i | \(-0.643720\pi\) |
0.561079 | + | 0.827762i | \(0.310386\pi\) | |||||||
\(42\) | −2.35289 | + | 1.20353i | −0.363059 | + | 0.185709i | ||||
\(43\) | −2.62960 | − | 9.81381i | −0.401010 | − | 1.49659i | −0.811297 | − | 0.584635i | \(-0.801238\pi\) |
0.410286 | − | 0.911957i | \(-0.365429\pi\) | |||||||
\(44\) | 2.35727 | + | 4.08291i | 0.355372 | + | 0.615522i | ||||
\(45\) | 3.00252 | − | 5.99874i | 0.447589 | − | 0.894240i | ||||
\(46\) | −1.40253 | −0.206792 | ||||||||
\(47\) | 6.84752 | − | 6.84752i | 0.998814 | − | 0.998814i | −0.00118523 | − | 0.999999i | \(-0.500377\pi\) |
0.999999 | + | 0.00118523i | \(0.000377270\pi\) | |||||||
\(48\) | 1.45410 | + | 0.941054i | 0.209882 | + | 0.135829i | ||||
\(49\) | −4.04590 | + | 2.33590i | −0.577986 | + | 0.333700i | ||||
\(50\) | −2.75685 | − | 4.17131i | −0.389877 | − | 0.589912i | ||||
\(51\) | 1.30228 | − | 4.02958i | 0.182356 | − | 0.564254i | ||||
\(52\) | 1.43718 | − | 5.36364i | 0.199301 | − | 0.743803i | ||||
\(53\) | 0.650026 | − | 2.42593i | 0.0892879 | − | 0.333227i | −0.906804 | − | 0.421553i | \(-0.861485\pi\) |
0.996092 | + | 0.0883260i | \(0.0281517\pi\) | |||||||
\(54\) | 3.07404 | + | 4.18930i | 0.418324 | + | 0.570092i | ||||
\(55\) | 9.85695 | + | 3.73830i | 1.32911 | + | 0.504072i | ||||
\(56\) | −1.32142 | − | 0.762922i | −0.176582 | − | 0.101950i | ||||
\(57\) | 4.13237 | + | 8.07877i | 0.547346 | + | 1.07006i | ||||
\(58\) | 1.19559 | − | 1.19559i | 0.156989 | − | 0.156989i | ||||
\(59\) | 1.38344 | − | 2.39619i | 0.180108 | − | 0.311957i | −0.761809 | − | 0.647802i | \(-0.775689\pi\) |
0.941917 | + | 0.335845i | \(0.109022\pi\) | |||||||
\(60\) | 3.84944 | − | 0.426391i | 0.496961 | − | 0.0550468i | ||||
\(61\) | −2.66083 | −0.340684 | −0.170342 | − | 0.985385i | \(-0.554487\pi\) | ||||
−0.170342 | + | 0.985385i | \(0.554487\pi\) | |||||||
\(62\) | −2.36598 | + | 5.04006i | −0.300479 | + | 0.640088i | ||||
\(63\) | −2.89192 | − | 3.54832i | −0.364348 | − | 0.447046i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −5.09586 | − | 11.3227i | −0.632064 | − | 1.40440i | ||||
\(66\) | −6.05977 | + | 5.47354i | −0.745907 | + | 0.673747i | ||||
\(67\) | −2.88137 | + | 10.7534i | −0.352016 | + | 1.31374i | 0.532183 | + | 0.846629i | \(0.321372\pi\) |
−0.884199 | + | 0.467111i | \(0.845295\pi\) | |||||||
\(68\) | 2.36165 | − | 0.632802i | 0.286392 | − | 0.0767385i | ||||
\(69\) | −0.508812 | − | 2.37537i | −0.0612537 | − | 0.285962i | ||||
\(70\) | −3.36771 | + | 0.547290i | −0.402518 | + | 0.0654137i | ||||
\(71\) | 3.45550 | − | 1.99503i | 0.410092 | − | 0.236767i | −0.280737 | − | 0.959785i | \(-0.590579\pi\) |
0.690829 | + | 0.723018i | \(0.257246\pi\) | |||||||
\(72\) | −1.06628 | + | 2.80411i | −0.125662 | + | 0.330468i | ||||
\(73\) | 14.9794 | + | 4.01373i | 1.75321 | + | 0.469771i | 0.985307 | − | 0.170793i | \(-0.0546330\pi\) |
0.767904 | + | 0.640565i | \(0.221300\pi\) | |||||||
\(74\) | −4.48469 | + | 7.76771i | −0.521335 | + | 0.902978i | ||||
\(75\) | 6.06453 | − | 6.18235i | 0.700271 | − | 0.713877i | ||||
\(76\) | −2.61953 | + | 4.53715i | −0.300480 | + | 0.520447i | ||||
\(77\) | 5.08667 | − | 5.08667i | 0.579680 | − | 0.579680i | ||||
\(78\) | 9.60542 | + | 0.488235i | 1.08760 | + | 0.0552817i | ||||
\(79\) | 2.39505 | + | 1.38278i | 0.269464 | + | 0.155575i | 0.628644 | − | 0.777693i | \(-0.283610\pi\) |
−0.359180 | + | 0.933268i | \(0.616944\pi\) | |||||||
\(80\) | 1.41418 | + | 1.73208i | 0.158110 | + | 0.193652i | ||||
\(81\) | −5.97993 | + | 6.72610i | −0.664437 | + | 0.747344i | ||||
\(82\) | −0.238735 | + | 0.890972i | −0.0263639 | + | 0.0983914i | ||||
\(83\) | 2.50980 | − | 9.36670i | 0.275486 | − | 1.02813i | −0.680028 | − | 0.733186i | \(-0.738033\pi\) |
0.955515 | − | 0.294943i | \(-0.0953008\pi\) | |||||||
\(84\) | 0.812723 | − | 2.51477i | 0.0886754 | − | 0.274384i | ||||
\(85\) | 3.19566 | − | 4.43586i | 0.346618 | − | 0.481137i | ||||
\(86\) | 8.79882 | + | 5.08000i | 0.948801 | + | 0.547791i | ||||
\(87\) | 2.45863 | + | 1.59115i | 0.263592 | + | 0.170589i | ||||
\(88\) | −4.55389 | − | 1.22021i | −0.485447 | − | 0.130075i | ||||
\(89\) | 9.06130 | 0.960495 | 0.480248 | − | 0.877133i | \(-0.340547\pi\) | ||||
0.480248 | + | 0.877133i | \(0.340547\pi\) | |||||||
\(90\) | 2.11865 | + | 6.36485i | 0.223325 | + | 0.670914i | ||||
\(91\) | −8.47278 | −0.888189 | ||||||||
\(92\) | 0.991741 | − | 0.991741i | 0.103396 | − | 0.103396i | ||||
\(93\) | −9.39433 | − | 2.17866i | −0.974147 | − | 0.225916i | ||||
\(94\) | 9.68386i | 0.998814i | ||||||||
\(95\) | 1.87914 | + | 11.5632i | 0.192796 | + | 1.18636i | ||||
\(96\) | −1.69363 | + | 0.362781i | −0.172856 | + | 0.0370261i | ||||
\(97\) | 1.79341 | + | 1.79341i | 0.182093 | + | 0.182093i | 0.792267 | − | 0.610174i | \(-0.208901\pi\) |
−0.610174 | + | 0.792267i | \(0.708901\pi\) | |||||||
\(98\) | 1.20915 | − | 4.51261i | 0.122143 | − | 0.455843i | ||||
\(99\) | −11.4685 | − | 8.27733i | −1.15263 | − | 0.831903i | ||||
\(100\) | 4.89894 | + | 1.00017i | 0.489894 | + | 0.100017i | ||||
\(101\) | − | 6.45022i | − | 0.641821i | −0.947110 | − | 0.320910i | \(-0.896011\pi\) | ||
0.947110 | − | 0.320910i | \(-0.103989\pi\) | |||||||
\(102\) | 1.92849 | + | 3.77019i | 0.190949 | + | 0.373305i | ||||
\(103\) | 4.33904 | + | 1.16264i | 0.427538 | + | 0.114559i | 0.466170 | − | 0.884695i | \(-0.345633\pi\) |
−0.0386321 | + | 0.999254i | \(0.512300\pi\) | |||||||
\(104\) | 2.77643 | + | 4.80891i | 0.272251 | + | 0.471552i | ||||
\(105\) | −2.14865 | − | 5.50511i | −0.209686 | − | 0.537244i | ||||
\(106\) | 1.25575 | + | 2.17503i | 0.121970 | + | 0.211258i | ||||
\(107\) | 4.39730 | + | 16.4109i | 0.425103 | + | 1.58651i | 0.763698 | + | 0.645574i | \(0.223382\pi\) |
−0.338595 | + | 0.940932i | \(0.609952\pi\) | |||||||
\(108\) | −5.13596 | − | 0.788607i | −0.494208 | − | 0.0758837i | ||||
\(109\) | 7.44218i | 0.712831i | 0.934328 | + | 0.356416i | \(0.116001\pi\) | ||||
−0.934328 | + | 0.356416i | \(0.883999\pi\) | |||||||
\(110\) | −9.61329 | + | 4.32654i | −0.916591 | + | 0.412519i | ||||
\(111\) | −14.7826 | − | 4.77744i | −1.40310 | − | 0.453455i | ||||
\(112\) | 1.47385 | − | 0.394917i | 0.139266 | − | 0.0373162i | ||||
\(113\) | 0.769632 | − | 2.87231i | 0.0724009 | − | 0.270204i | −0.920230 | − | 0.391377i | \(-0.871999\pi\) |
0.992631 | + | 0.121173i | \(0.0386656\pi\) | |||||||
\(114\) | −8.63458 | − | 2.79052i | −0.808702 | − | 0.261356i | ||||
\(115\) | 0.315267 | − | 3.12027i | 0.0293988 | − | 0.290967i | ||||
\(116\) | 1.69082i | 0.156989i | ||||||||
\(117\) | 2.65777 | + | 16.4452i | 0.245711 | + | 1.52036i | ||||
\(118\) | 0.716120 | + | 2.67260i | 0.0659242 | + | 0.246033i | ||||
\(119\) | −1.86531 | − | 3.23081i | −0.170993 | − | 0.296168i | ||||
\(120\) | −2.42046 | + | 3.02347i | −0.220957 | + | 0.276004i | ||||
\(121\) | 5.61342 | − | 9.72274i | 0.510311 | − | 0.883885i | ||||
\(122\) | 1.88149 | − | 1.88149i | 0.170342 | − | 0.170342i | ||||
\(123\) | −1.59559 | − | 0.0811023i | −0.143869 | − | 0.00731275i | ||||
\(124\) | −1.89086 | − | 5.23686i | −0.169804 | − | 0.470283i | ||||
\(125\) | 9.89977 | − | 5.19563i | 0.885462 | − | 0.464711i | ||||
\(126\) | 4.55394 | + | 0.464144i | 0.405697 | + | 0.0413493i | ||||
\(127\) | 19.6144 | − | 5.25568i | 1.74050 | − | 0.466366i | 0.757943 | − | 0.652321i | \(-0.226205\pi\) |
0.982558 | + | 0.185955i | \(0.0595379\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | −5.41161 | + | 16.7449i | −0.476466 | + | 1.47431i | ||||
\(130\) | 11.6097 | + | 4.40302i | 1.01823 | + | 0.386171i | ||||
\(131\) | 6.66669 | + | 3.84901i | 0.582471 | + | 0.336290i | 0.762115 | − | 0.647442i | \(-0.224161\pi\) |
−0.179644 | + | 0.983732i | \(0.557494\pi\) | |||||||
\(132\) | 0.414526 | − | 8.15529i | 0.0360799 | − | 0.709827i | ||||
\(133\) | 7.72158 | + | 2.06899i | 0.669546 | + | 0.179404i | ||||
\(134\) | −5.56639 | − | 9.64126i | −0.480862 | − | 0.832878i | ||||
\(135\) | −10.0111 | + | 5.89726i | −0.861619 | + | 0.507555i | ||||
\(136\) | −1.22248 | + | 2.11740i | −0.104827 | + | 0.181565i | ||||
\(137\) | −18.2982 | − | 4.90300i | −1.56332 | − | 0.418892i | −0.629611 | − | 0.776911i | \(-0.716786\pi\) |
−0.933714 | + | 0.358019i | \(0.883452\pi\) | |||||||
\(138\) | 2.03943 | + | 1.31986i | 0.173608 | + | 0.112354i | ||||
\(139\) | 7.88991i | 0.669213i | 0.942358 | + | 0.334607i | \(0.108603\pi\) | ||||
−0.942358 | + | 0.334607i | \(0.891397\pi\) | |||||||
\(140\) | 1.99434 | − | 2.76832i | 0.168552 | − | 0.233966i | ||||
\(141\) | −16.4009 | + | 3.51312i | −1.38120 | + | 0.295858i | ||||
\(142\) | −1.03271 | + | 3.85411i | −0.0866627 | + | 0.323430i | ||||
\(143\) | −25.2871 | + | 6.77565i | −2.11461 | + | 0.566609i | ||||
\(144\) | −1.22883 | − | 2.73678i | −0.102403 | − | 0.228065i | ||||
\(145\) | 2.39113 | + | 2.92863i | 0.198572 | + | 0.243209i | ||||
\(146\) | −13.4302 | + | 7.75393i | −1.11149 | + | 0.641720i | ||||
\(147\) | 8.08137 | + | 0.410769i | 0.666540 | + | 0.0338796i | ||||
\(148\) | −2.32145 | − | 8.66376i | −0.190822 | − | 0.712157i | ||||
\(149\) | 6.89382 | − | 11.9404i | 0.564764 | − | 0.978200i | −0.432308 | − | 0.901726i | \(-0.642301\pi\) |
0.997072 | − | 0.0764736i | \(-0.0243661\pi\) | |||||||
\(150\) | 0.0833152 | + | 8.65985i | 0.00680266 | + | 0.707074i | ||||
\(151\) | −4.62045 | −0.376007 | −0.188003 | − | 0.982168i | \(-0.560202\pi\) | ||||
−0.188003 | + | 0.982168i | \(0.560202\pi\) | |||||||
\(152\) | −1.35597 | − | 5.06053i | −0.109983 | − | 0.410463i | ||||
\(153\) | −5.68570 | + | 4.63391i | −0.459662 | + | 0.374630i | ||||
\(154\) | 7.19364i | 0.579680i | ||||||||
\(155\) | −10.6810 | − | 6.39661i | −0.857917 | − | 0.513788i | ||||
\(156\) | −7.13729 | + | 6.44682i | −0.571441 | + | 0.516159i | ||||
\(157\) | −1.64688 | − | 1.64688i | −0.131435 | − | 0.131435i | 0.638329 | − | 0.769764i | \(-0.279626\pi\) |
−0.769764 | + | 0.638329i | \(0.779626\pi\) | |||||||
\(158\) | −2.67133 | + | 0.715780i | −0.212519 | + | 0.0569444i | ||||
\(159\) | −3.22814 | + | 2.91584i | −0.256008 | + | 0.231241i | ||||
\(160\) | −2.22474 | − | 0.224784i | −0.175881 | − | 0.0177708i | ||||
\(161\) | −1.85333 | − | 1.07002i | −0.146063 | − | 0.0843296i | ||||
\(162\) | −0.527617 | − | 8.98452i | −0.0414535 | − | 0.705891i | ||||
\(163\) | −0.148291 | + | 0.148291i | −0.0116151 | + | 0.0116151i | −0.712890 | − | 0.701275i | \(-0.752614\pi\) |
0.701275 | + | 0.712890i | \(0.252614\pi\) | |||||||
\(164\) | −0.461201 | − | 0.798823i | −0.0360137 | − | 0.0623776i | ||||
\(165\) | −10.8151 | − | 14.7118i | −0.841953 | − | 1.14531i | ||||
\(166\) | 4.84856 | + | 8.39796i | 0.376321 | + | 0.651808i | ||||
\(167\) | 1.49475 | + | 5.57847i | 0.115667 | + | 0.431675i | 0.999336 | − | 0.0364372i | \(-0.0116009\pi\) |
−0.883669 | + | 0.468112i | \(0.844934\pi\) | |||||||
\(168\) | 1.20353 | + | 2.35289i | 0.0928543 | + | 0.181530i | ||||
\(169\) | 15.4448 | + | 8.91707i | 1.18806 | + | 0.685929i | ||||
\(170\) | 0.876958 | + | 5.39630i | 0.0672596 | + | 0.413877i | ||||
\(171\) | 1.59366 | − | 15.6361i | 0.121870 | − | 1.19573i | ||||
\(172\) | −9.81381 | + | 2.62960i | −0.748296 | + | 0.200505i | ||||
\(173\) | 0.858610 | − | 3.20438i | 0.0652789 | − | 0.243624i | −0.925575 | − | 0.378565i | \(-0.876418\pi\) |
0.990854 | + | 0.134941i | \(0.0430844\pi\) | |||||||
\(174\) | −2.86363 | + | 0.613396i | −0.217091 | + | 0.0465015i | ||||
\(175\) | −0.460570 | − | 7.61530i | −0.0348158 | − | 0.575663i | ||||
\(176\) | 4.08291 | − | 2.35727i | 0.307761 | − | 0.177686i | ||||
\(177\) | −4.26660 | + | 2.18241i | −0.320697 | + | 0.164040i | ||||
\(178\) | −6.40730 | + | 6.40730i | −0.480248 | + | 0.480248i | ||||
\(179\) | −0.0122486 | + | 0.0212151i | −0.000915500 | + | 0.00158569i | −0.866483 | − | 0.499207i | \(-0.833625\pi\) |
0.865567 | + | 0.500793i | \(0.166958\pi\) | |||||||
\(180\) | −5.99874 | − | 3.00252i | −0.447120 | − | 0.223794i | ||||
\(181\) | −11.0195 | − | 19.0863i | −0.819072 | − | 1.41867i | −0.906367 | − | 0.422492i | \(-0.861155\pi\) |
0.0872946 | − | 0.996183i | \(-0.472178\pi\) | |||||||
\(182\) | 5.99116 | − | 5.99116i | 0.444094 | − | 0.444094i | ||||
\(183\) | 3.86912 | + | 2.50398i | 0.286014 | + | 0.185100i | ||||
\(184\) | 1.40253i | 0.103396i | ||||||||
\(185\) | −16.2731 | − | 11.7233i | −1.19642 | − | 0.861917i | ||||
\(186\) | 8.18334 | − | 5.10225i | 0.600032 | − | 0.374115i | ||||
\(187\) | −8.15071 | − | 8.15071i | −0.596039 | − | 0.596039i | ||||
\(188\) | −6.84752 | − | 6.84752i | −0.499407 | − | 0.499407i | ||||
\(189\) | 0.865990 | + | 7.88108i | 0.0629915 | + | 0.573264i | ||||
\(190\) | −9.50516 | − | 6.84765i | −0.689576 | − | 0.496780i | ||||
\(191\) | 16.8423 | − | 9.72389i | 1.21866 | − | 0.703596i | 0.254032 | − | 0.967196i | \(-0.418243\pi\) |
0.964632 | + | 0.263600i | \(0.0849100\pi\) | |||||||
\(192\) | 0.941054 | − | 1.45410i | 0.0679147 | − | 0.104941i | ||||
\(193\) | 5.52275 | + | 20.6112i | 0.397536 | + | 1.48362i | 0.817417 | + | 0.576046i | \(0.195405\pi\) |
−0.419881 | + | 0.907579i | \(0.637928\pi\) | |||||||
\(194\) | −2.53627 | −0.182093 | ||||||||
\(195\) | −3.24534 | + | 21.2598i | −0.232404 | + | 1.52245i | ||||
\(196\) | 2.33590 | + | 4.04590i | 0.166850 | + | 0.288993i | ||||
\(197\) | 8.00288 | + | 2.14437i | 0.570182 | + | 0.152780i | 0.532380 | − | 0.846506i | \(-0.321298\pi\) |
0.0378018 | + | 0.999285i | \(0.487964\pi\) | |||||||
\(198\) | 13.9624 | − | 2.25653i | 0.992267 | − | 0.160364i | ||||
\(199\) | −8.04935 | + | 4.64729i | −0.570603 | + | 0.329438i | −0.757390 | − | 0.652962i | \(-0.773526\pi\) |
0.186787 | + | 0.982400i | \(0.440193\pi\) | |||||||
\(200\) | −4.17131 | + | 2.75685i | −0.294956 | + | 0.194939i | ||||
\(201\) | 14.3094 | − | 12.9251i | 1.00931 | − | 0.911664i | ||||
\(202\) | 4.56099 | + | 4.56099i | 0.320910 | + | 0.320910i | ||||
\(203\) | 2.49202 | − | 0.667734i | 0.174905 | − | 0.0468657i | ||||
\(204\) | −4.02958 | − | 1.30228i | −0.282127 | − | 0.0911778i | ||||
\(205\) | −1.92852 | − | 0.731400i | −0.134693 | − | 0.0510832i | ||||
\(206\) | −3.89028 | + | 2.24605i | −0.271048 | + | 0.156490i | ||||
\(207\) | −1.49549 | + | 3.93286i | −0.103944 | + | 0.273353i | ||||
\(208\) | −5.36364 | − | 1.43718i | −0.371902 | − | 0.0996507i | ||||
\(209\) | 24.6997 | 1.70851 | ||||||||
\(210\) | 5.41203 | + | 2.37338i | 0.373465 | + | 0.163779i | ||||
\(211\) | 10.0700 | − | 17.4418i | 0.693248 | − | 1.20074i | −0.277519 | − | 0.960720i | \(-0.589512\pi\) |
0.970768 | − | 0.240021i | \(-0.0771544\pi\) | |||||||
\(212\) | −2.42593 | − | 0.650026i | −0.166614 | − | 0.0446440i | ||||
\(213\) | −6.90209 | − | 0.350827i | −0.472923 | − | 0.0240383i | ||||
\(214\) | −14.7137 | − | 8.49493i | −1.00580 | − | 0.580702i | ||||
\(215\) | −13.2795 | + | 18.4332i | −0.905656 | + | 1.25713i | ||||
\(216\) | 4.18930 | − | 3.07404i | 0.285046 | − | 0.209162i | ||||
\(217\) | −6.97161 | + | 4.85497i | −0.473264 | + | 0.329577i | ||||
\(218\) | −5.26241 | − | 5.26241i | −0.356416 | − | 0.356416i | ||||
\(219\) | −18.0045 | − | 19.9328i | −1.21663 | − | 1.34694i | ||||
\(220\) | 3.73830 | − | 9.85695i | 0.252036 | − | 0.664555i | ||||
\(221\) | 13.5765i | 0.913253i | ||||||||
\(222\) | 13.8310 | − | 7.07472i | 0.928279 | − | 0.474824i | ||||
\(223\) | 6.54747 | + | 24.4355i | 0.438451 | + | 1.63632i | 0.732671 | + | 0.680583i | \(0.238274\pi\) |
−0.294220 | + | 0.955738i | \(0.595060\pi\) | |||||||
\(224\) | −0.762922 | + | 1.32142i | −0.0509748 | + | 0.0882910i | ||||
\(225\) | −14.6364 | + | 3.28273i | −0.975759 | + | 0.218849i | ||||
\(226\) | 1.48682 | + | 2.57524i | 0.0989015 | + | 0.171302i | ||||
\(227\) | −7.32934 | − | 1.96389i | −0.486465 | − | 0.130348i | 0.00724610 | − | 0.999974i | \(-0.497693\pi\) |
−0.493712 | + | 0.869626i | \(0.664360\pi\) | |||||||
\(228\) | 8.07877 | − | 4.13237i | 0.535029 | − | 0.273673i | ||||
\(229\) | 9.81089 | + | 5.66432i | 0.648322 | + | 0.374309i | 0.787813 | − | 0.615914i | \(-0.211213\pi\) |
−0.139491 | + | 0.990223i | \(0.544547\pi\) | |||||||
\(230\) | 1.98344 | + | 2.42929i | 0.130784 | + | 0.160183i | ||||
\(231\) | −12.1834 | + | 2.60971i | −0.801608 | + | 0.171707i | ||||
\(232\) | −1.19559 | − | 1.19559i | −0.0784943 | − | 0.0784943i | ||||
\(233\) | −7.65930 | − | 7.65930i | −0.501777 | − | 0.501777i | 0.410213 | − | 0.911990i | \(-0.365454\pi\) |
−0.911990 | + | 0.410213i | \(0.865454\pi\) | |||||||
\(234\) | −13.5078 | − | 9.74916i | −0.883034 | − | 0.637323i | ||||
\(235\) | −21.5441 | − | 2.17678i | −1.40538 | − | 0.141998i | ||||
\(236\) | −2.39619 | − | 1.38344i | −0.155978 | − | 0.0900541i | ||||
\(237\) | −2.18137 | − | 4.26457i | −0.141695 | − | 0.277014i | ||||
\(238\) | 3.60350 | + | 0.965556i | 0.233580 | + | 0.0625877i | ||||
\(239\) | 5.15341 | + | 8.92596i | 0.333346 | + | 0.577373i | 0.983166 | − | 0.182716i | \(-0.0584889\pi\) |
−0.649820 | + | 0.760089i | \(0.725156\pi\) | |||||||
\(240\) | −0.426391 | − | 3.84944i | −0.0275234 | − | 0.248480i | ||||
\(241\) | −5.06086 | + | 8.76567i | −0.325999 | + | 0.564646i | −0.981714 | − | 0.190362i | \(-0.939034\pi\) |
0.655715 | + | 0.755008i | \(0.272367\pi\) | |||||||
\(242\) | 2.90572 | + | 10.8443i | 0.186787 | + | 0.697098i | ||||
\(243\) | 15.0251 | − | 4.15300i | 0.963858 | − | 0.266415i | ||||
\(244\) | 2.66083i | 0.170342i | ||||||||
\(245\) | 9.76760 | + | 3.70441i | 0.624029 | + | 0.236666i | ||||
\(246\) | 1.18560 | − | 1.07090i | 0.0755910 | − | 0.0682782i | ||||
\(247\) | −20.5709 | − | 20.5709i | −1.30890 | − | 1.30890i | ||||
\(248\) | 5.04006 | + | 2.36598i | 0.320044 | + | 0.150240i | ||||
\(249\) | −12.4641 | + | 11.2583i | −0.789879 | + | 0.713466i | ||||
\(250\) | −3.32633 | + | 10.6741i | −0.210376 | + | 0.675087i | ||||
\(251\) | 1.52211 | + | 0.878790i | 0.0960747 | + | 0.0554687i | 0.547268 | − | 0.836958i | \(-0.315668\pi\) |
−0.451193 | + | 0.892426i | \(0.649001\pi\) | |||||||
\(252\) | −3.54832 | + | 2.89192i | −0.223523 | + | 0.182174i | ||||
\(253\) | −6.38698 | − | 1.71139i | −0.401546 | − | 0.107594i | ||||
\(254\) | −10.1532 | + | 17.5858i | −0.637068 | + | 1.10343i | ||||
\(255\) | −8.82120 | + | 3.44292i | −0.552405 | + | 0.215604i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 2.67919 | + | 0.717886i | 0.167123 | + | 0.0447805i | 0.341410 | − | 0.939914i | \(-0.389095\pi\) |
−0.174287 | + | 0.984695i | \(0.555762\pi\) | |||||||
\(258\) | −8.01384 | − | 15.6670i | −0.498920 | − | 0.975386i | ||||
\(259\) | −11.8523 | + | 6.84294i | −0.736467 | + | 0.425199i | ||||
\(260\) | −11.3227 | + | 5.09586i | −0.702202 | + | 0.316032i | ||||
\(261\) | −2.07774 | − | 4.62740i | −0.128609 | − | 0.286429i | ||||
\(262\) | −7.43572 | + | 1.99240i | −0.459381 | + | 0.123091i | ||||
\(263\) | −20.6656 | − | 20.6656i | −1.27429 | − | 1.27429i | −0.943812 | − | 0.330482i | \(-0.892789\pi\) |
−0.330482 | − | 0.943812i | \(-0.607211\pi\) | |||||||
\(264\) | 5.47354 | + | 6.05977i | 0.336873 | + | 0.372953i | ||||
\(265\) | −5.12115 | + | 2.30481i | −0.314590 | + | 0.141584i | ||||
\(266\) | −6.92298 | + | 3.99698i | −0.424475 | + | 0.245071i | ||||
\(267\) | −13.1761 | − | 8.52717i | −0.806362 | − | 0.521854i | ||||
\(268\) | 10.7534 | + | 2.88137i | 0.656870 | + | 0.176008i | ||||
\(269\) | 11.6913 | + | 20.2500i | 0.712832 | + | 1.23466i | 0.963790 | + | 0.266663i | \(0.0859212\pi\) |
−0.250958 | + | 0.967998i | \(0.580745\pi\) | |||||||
\(270\) | 2.90893 | − | 11.2489i | 0.177032 | − | 0.684587i | ||||
\(271\) | −10.8222 | −0.657403 | −0.328702 | − | 0.944434i | \(-0.606611\pi\) | ||||
−0.328702 | + | 0.944434i | \(0.606611\pi\) | |||||||
\(272\) | −0.632802 | − | 2.36165i | −0.0383692 | − | 0.143196i | ||||
\(273\) | 12.3203 | + | 7.97334i | 0.745658 | + | 0.482569i | ||||
\(274\) | 16.4058 | − | 9.47187i | 0.991108 | − | 0.572217i | ||||
\(275\) | −7.46451 | − | 22.3596i | −0.450127 | − | 1.34834i | ||||
\(276\) | −2.37537 | + | 0.508812i | −0.142981 | + | 0.0306269i | ||||
\(277\) | 3.15607 | + | 3.15607i | 0.189630 | + | 0.189630i | 0.795536 | − | 0.605906i | \(-0.207189\pi\) |
−0.605906 | + | 0.795536i | \(0.707189\pi\) | |||||||
\(278\) | −5.57901 | − | 5.57901i | −0.334607 | − | 0.334607i | ||||
\(279\) | 11.6101 | + | 12.0086i | 0.695078 | + | 0.718934i | ||||
\(280\) | 0.547290 | + | 3.36771i | 0.0327068 | + | 0.201259i | ||||
\(281\) | 0.479228i | 0.0285883i | 0.999898 | + | 0.0142942i | \(0.00455013\pi\) | ||||
−0.999898 | + | 0.0142942i | \(0.995450\pi\) | |||||||
\(282\) | 9.11304 | − | 14.0813i | 0.542674 | − | 0.838531i | ||||
\(283\) | 17.8720 | − | 17.8720i | 1.06238 | − | 1.06238i | 0.0644616 | − | 0.997920i | \(-0.479467\pi\) |
0.997920 | − | 0.0644616i | \(-0.0205330\pi\) | |||||||
\(284\) | −1.99503 | − | 3.45550i | −0.118383 | − | 0.205046i | ||||
\(285\) | 8.14911 | − | 18.5824i | 0.482711 | − | 1.10073i | ||||
\(286\) | 13.0896 | − | 22.6718i | 0.774002 | − | 1.34061i | ||||
\(287\) | −0.995211 | + | 0.995211i | −0.0587454 | + | 0.0587454i | ||||
\(288\) | 2.80411 | + | 1.06628i | 0.165234 | + | 0.0628311i | ||||
\(289\) | 9.54549 | − | 5.51109i | 0.561499 | − | 0.324182i | ||||
\(290\) | −3.76163 | − | 0.380070i | −0.220891 | − | 0.0223185i | ||||
\(291\) | −0.920108 | − | 4.29550i | −0.0539377 | − | 0.251807i | ||||
\(292\) | 4.01373 | − | 14.9794i | 0.234886 | − | 0.876605i | ||||
\(293\) | 24.4856 | − | 6.56090i | 1.43047 | − | 0.383292i | 0.541281 | − | 0.840842i | \(-0.317939\pi\) |
0.889184 | + | 0.457550i | \(0.151273\pi\) | |||||||
\(294\) | −6.00485 | + | 5.42393i | −0.350210 | + | 0.316330i | ||||
\(295\) | −6.10681 | + | 0.992424i | −0.355552 | + | 0.0577812i | ||||
\(296\) | 7.76771 | + | 4.48469i | 0.451489 | + | 0.260667i | ||||
\(297\) | 8.88703 | + | 22.8286i | 0.515678 | + | 1.32465i | ||||
\(298\) | 3.56850 | + | 13.3178i | 0.206718 | + | 0.771482i | ||||
\(299\) | 3.89403 | + | 6.74465i | 0.225197 | + | 0.390053i | ||||
\(300\) | −6.18235 | − | 6.06453i | −0.356938 | − | 0.350136i | ||||
\(301\) | 7.75128 | + | 13.4256i | 0.446777 | + | 0.773840i | ||||
\(302\) | 3.26715 | − | 3.26715i | 0.188003 | − | 0.188003i | ||||
\(303\) | −6.07000 | + | 9.37928i | −0.348713 | + | 0.538826i | ||||
\(304\) | 4.53715 | + | 2.61953i | 0.260223 | + | 0.150240i | ||||
\(305\) | 3.76290 | + | 4.60876i | 0.215463 | + | 0.263897i | ||||
\(306\) | 0.743729 | − | 7.29707i | 0.0425161 | − | 0.417146i | ||||
\(307\) | −26.0724 | + | 6.98609i | −1.48803 | + | 0.398717i | −0.909072 | − | 0.416638i | \(-0.863208\pi\) |
−0.578961 | + | 0.815355i | \(0.696542\pi\) | |||||||
\(308\) | −5.08667 | − | 5.08667i | −0.289840 | − | 0.289840i | ||||
\(309\) | −5.21530 | − | 5.77387i | −0.296688 | − | 0.328464i | ||||
\(310\) | 12.0757 | − | 3.02951i | 0.685853 | − | 0.172065i | ||||
\(311\) | 29.3343i | 1.66339i | 0.555230 | + | 0.831697i | \(0.312630\pi\) | ||||
−0.555230 | + | 0.831697i | \(0.687370\pi\) | |||||||
\(312\) | 0.488235 | − | 9.60542i | 0.0276409 | − | 0.543800i | ||||
\(313\) | −6.62114 | − | 24.7104i | −0.374249 | − | 1.39672i | −0.854439 | − | 0.519552i | \(-0.826099\pi\) |
0.480190 | − | 0.877165i | \(-0.340568\pi\) | |||||||
\(314\) | 2.32904 | 0.131435 | ||||||||
\(315\) | −2.05625 | + | 10.0270i | −0.115857 | + | 0.564957i | ||||
\(316\) | 1.38278 | − | 2.39505i | 0.0777875 | − | 0.134732i | ||||
\(317\) | 6.17376 | + | 23.0408i | 0.346753 | + | 1.29410i | 0.890551 | + | 0.454883i | \(0.150319\pi\) |
−0.543798 | + | 0.839216i | \(0.683014\pi\) | |||||||
\(318\) | 0.220825 | − | 4.34445i | 0.0123832 | − | 0.243625i | ||||
\(319\) | 6.90346 | − | 3.98571i | 0.386520 | − | 0.223157i | ||||
\(320\) | 1.73208 | − | 1.41418i | 0.0968260 | − | 0.0790552i | ||||
\(321\) | 9.04946 | − | 28.0013i | 0.505092 | − | 1.56288i | ||||
\(322\) | 2.06712 | − | 0.553884i | 0.115196 | − | 0.0308668i | ||||
\(323\) | 3.31528 | − | 12.3728i | 0.184467 | − | 0.688440i | ||||
\(324\) | 6.72610 | + | 5.97993i | 0.373672 | + | 0.332219i | ||||
\(325\) | −12.4053 | + | 24.8387i | −0.688120 | + | 1.37781i | ||||
\(326\) | − | 0.209715i | − | 0.0116151i | ||||||
\(327\) | 7.00349 | − | 10.8217i | 0.387294 | − | 0.598441i | ||||
\(328\) | 0.890972 | + | 0.238735i | 0.0491957 | + | 0.0131819i | ||||
\(329\) | −7.38803 | + | 12.7964i | −0.407315 | + | 0.705490i | ||||
\(330\) | 18.0502 | + | 2.75539i | 0.993632 | + | 0.151679i | ||||
\(331\) | −3.17129 | − | 5.49283i | −0.174310 | − | 0.301913i | 0.765612 | − | 0.643302i | \(-0.222436\pi\) |
−0.939922 | + | 0.341389i | \(0.889103\pi\) | |||||||
\(332\) | −9.36670 | − | 2.50980i | −0.514065 | − | 0.137743i | ||||
\(333\) | 16.9996 | + | 20.8581i | 0.931573 | + | 1.14302i | ||||
\(334\) | −5.00152 | − | 2.88763i | −0.273671 | − | 0.158004i | ||||
\(335\) | 22.7005 | − | 10.2166i | 1.24026 | − | 0.558190i | ||||
\(336\) | −2.51477 | − | 0.812723i | −0.137192 | − | 0.0443377i | ||||
\(337\) | 9.67430 | + | 9.67430i | 0.526993 | + | 0.526993i | 0.919674 | − | 0.392682i | \(-0.128453\pi\) |
−0.392682 | + | 0.919674i | \(0.628453\pi\) | |||||||
\(338\) | −17.2265 | + | 4.61582i | −0.936996 | + | 0.251067i | ||||
\(339\) | −3.82212 | + | 3.45237i | −0.207589 | + | 0.187507i | ||||
\(340\) | −4.43586 | − | 3.19566i | −0.240568 | − | 0.173309i | ||||
\(341\) | −16.9243 | + | 20.0649i | −0.916504 | + | 1.08657i | ||||
\(342\) | 9.92954 | + | 12.1833i | 0.536928 | + | 0.658798i | ||||
\(343\) | 12.5931 | − | 12.5931i | 0.679964 | − | 0.679964i | ||||
\(344\) | 5.08000 | − | 8.79882i | 0.273895 | − | 0.474401i | ||||
\(345\) | −3.39478 | + | 4.24051i | −0.182769 | + | 0.228302i | ||||
\(346\) | 1.65871 | + | 2.87297i | 0.0891727 | + | 0.154452i | ||||
\(347\) | −0.253542 | − | 0.946230i | −0.0136108 | − | 0.0507963i | 0.958786 | − | 0.284128i | \(-0.0917040\pi\) |
−0.972397 | + | 0.233331i | \(0.925037\pi\) | |||||||
\(348\) | 1.59115 | − | 2.45863i | 0.0852947 | − | 0.131796i | ||||
\(349\) | 26.4304i | 1.41479i | 0.706819 | + | 0.707394i | \(0.250129\pi\) | ||||
−0.706819 | + | 0.707394i | \(0.749871\pi\) | |||||||
\(350\) | 5.71050 | + | 5.05916i | 0.305239 | + | 0.270423i | ||||
\(351\) | 11.6111 | − | 26.4141i | 0.619756 | − | 1.40988i | ||||
\(352\) | −1.22021 | + | 4.55389i | −0.0650375 | + | 0.242723i | ||||
\(353\) | 33.3768 | − | 8.94329i | 1.77647 | − | 0.476003i | 0.786536 | − | 0.617544i | \(-0.211872\pi\) |
0.989932 | + | 0.141540i | \(0.0452055\pi\) | |||||||
\(354\) | 1.47375 | − | 4.56014i | 0.0783287 | − | 0.242369i | ||||
\(355\) | −8.34226 | − | 3.16384i | −0.442761 | − | 0.167919i | ||||
\(356\) | − | 9.06130i | − | 0.480248i | ||||||
\(357\) | −0.328015 | + | 6.45329i | −0.0173604 | + | 0.341545i | ||||
\(358\) | −0.00634032 | − | 0.0236624i | −0.000335096 | − | 0.00125060i | ||||
\(359\) | −16.8947 | − | 29.2625i | −0.891669 | − | 1.54442i | −0.837874 | − | 0.545864i | \(-0.816201\pi\) |
−0.0537955 | − | 0.998552i | \(-0.517132\pi\) | |||||||
\(360\) | 6.36485 | − | 2.11865i | 0.335457 | − | 0.111663i | ||||
\(361\) | 4.22382 | + | 7.31588i | 0.222306 | + | 0.385046i | ||||
\(362\) | 21.2880 | + | 5.70411i | 1.11887 | + | 0.299801i | ||||
\(363\) | −17.3121 | + | 8.85533i | −0.908651 | + | 0.464784i | ||||
\(364\) | 8.47278i | 0.444094i | ||||||||
\(365\) | −14.2316 | − | 31.6217i | −0.744915 | − | 1.65515i | ||||
\(366\) | −4.50647 | + | 0.965297i | −0.235557 | + | 0.0504569i | ||||
\(367\) | −5.01545 | + | 18.7179i | −0.261804 | + | 0.977067i | 0.702373 | + | 0.711809i | \(0.252124\pi\) |
−0.964177 | + | 0.265258i | \(0.914543\pi\) | |||||||
\(368\) | −0.991741 | − | 0.991741i | −0.0516980 | − | 0.0516980i | ||||
\(369\) | 2.24383 | + | 1.61947i | 0.116809 | + | 0.0843060i | ||||
\(370\) | 19.7964 | − | 3.21714i | 1.02917 | − | 0.167251i | ||||
\(371\) | 3.83217i | 0.198956i | ||||||||
\(372\) | −2.17866 | + | 9.39433i | −0.112958 | + | 0.487073i | ||||
\(373\) | 15.9358 | − | 15.9358i | 0.825123 | − | 0.825123i | −0.161714 | − | 0.986838i | \(-0.551702\pi\) |
0.986838 | + | 0.161714i | \(0.0517023\pi\) | |||||||
\(374\) | 11.5268 | 0.596039 | ||||||||
\(375\) | −19.2847 | − | 1.76124i | −0.995855 | − | 0.0909503i | ||||
\(376\) | 9.68386 | 0.499407 | ||||||||
\(377\) | −9.06895 | − | 2.43002i | −0.467075 | − | 0.125152i | ||||
\(378\) | −6.18511 | − | 4.96042i | −0.318128 | − | 0.255136i | ||||
\(379\) | 7.59600 | + | 4.38555i | 0.390180 | + | 0.225271i | 0.682238 | − | 0.731130i | \(-0.261007\pi\) |
−0.292058 | + | 0.956401i | \(0.594340\pi\) | |||||||
\(380\) | 11.5632 | − | 1.87914i | 0.593178 | − | 0.0963981i | ||||
\(381\) | −33.4673 | − | 10.8160i | −1.71458 | − | 0.554119i | ||||
\(382\) | −5.03345 | + | 18.7851i | −0.257534 | + | 0.961130i | ||||
\(383\) | −7.11395 | + | 26.5496i | −0.363506 | + | 1.35662i | 0.505930 | + | 0.862575i | \(0.331150\pi\) |
−0.869435 | + | 0.494047i | \(0.835517\pi\) | |||||||
\(384\) | 0.362781 | + | 1.69363i | 0.0185131 | + | 0.0864278i | ||||
\(385\) | −16.0040 | − | 1.61702i | −0.815639 | − | 0.0824109i | ||||
\(386\) | −18.4795 | − | 10.6691i | −0.940581 | − | 0.543044i | ||||
\(387\) | 23.6269 | − | 19.2562i | 1.20102 | − | 0.978847i | ||||
\(388\) | 1.79341 | − | 1.79341i | 0.0910466 | − | 0.0910466i | ||||
\(389\) | −5.17308 | + | 8.96005i | −0.262286 | + | 0.454292i | −0.966849 | − | 0.255349i | \(-0.917810\pi\) |
0.704563 | + | 0.709641i | \(0.251143\pi\) | |||||||
\(390\) | −12.7382 | − | 17.3278i | −0.645022 | − | 0.877426i | ||||
\(391\) | −1.71457 | + | 2.96972i | −0.0867094 | + | 0.150185i | ||||
\(392\) | −4.51261 | − | 1.20915i | −0.227921 | − | 0.0610714i | ||||
\(393\) | −6.07192 | − | 11.8706i | −0.306288 | − | 0.598792i | ||||
\(394\) | −7.17519 | + | 4.14260i | −0.361481 | + | 0.208701i | ||||
\(395\) | −0.991952 | − | 6.10391i | −0.0499105 | − | 0.307121i | ||||
\(396\) | −8.27733 | + | 11.4685i | −0.415952 | + | 0.576316i | ||||
\(397\) | 15.0946 | − | 4.04459i | 0.757577 | − | 0.202992i | 0.140701 | − | 0.990052i | \(-0.455065\pi\) |
0.616876 | + | 0.787060i | \(0.288398\pi\) | |||||||
\(398\) | 2.40562 | − | 8.97788i | 0.120583 | − | 0.450021i | ||||
\(399\) | −9.28094 | − | 10.2750i | −0.464628 | − | 0.514391i | ||||
\(400\) | 1.00017 | − | 4.89894i | 0.0500087 | − | 0.244947i | ||||
\(401\) | 8.61518i | 0.430221i | 0.976590 | + | 0.215111i | \(0.0690112\pi\) | ||||
−0.976590 | + | 0.215111i | \(0.930989\pi\) | |||||||
\(402\) | −0.978850 | + | 19.2577i | −0.0488206 | + | 0.960485i | ||||
\(403\) | 30.8061 | − | 2.61557i | 1.53456 | − | 0.130291i | ||||
\(404\) | −6.45022 | −0.320910 | ||||||||
\(405\) | 20.1068 | + | 0.845769i | 0.999116 | + | 0.0420266i | ||||
\(406\) | −1.28996 | + | 2.23428i | −0.0640198 | + | 0.110885i | ||||
\(407\) | −29.9011 | + | 29.9011i | −1.48214 | + | 1.48214i | ||||
\(408\) | 3.77019 | − | 1.92849i | 0.186652 | − | 0.0954746i | ||||
\(409\) | −15.2529 | − | 8.80629i | −0.754209 | − | 0.435443i | 0.0730037 | − | 0.997332i | \(-0.476742\pi\) |
−0.827213 | + | 0.561889i | \(0.810075\pi\) | |||||||
\(410\) | 1.88085 | − | 0.846490i | 0.0928884 | − | 0.0418051i | ||||
\(411\) | 21.9936 | + | 24.3491i | 1.08486 | + | 1.20105i | ||||
\(412\) | 1.16264 | − | 4.33904i | 0.0572793 | − | 0.213769i | ||||
\(413\) | −1.09269 | + | 4.07796i | −0.0537676 | + | 0.200663i | ||||
\(414\) | −1.72348 | − | 3.83842i | −0.0847044 | − | 0.188648i | ||||
\(415\) | −19.7732 | + | 8.89906i | −0.970626 | + | 0.436838i | ||||
\(416\) | 4.80891 | − | 2.77643i | 0.235776 | − | 0.136125i | ||||
\(417\) | 7.42483 | − | 11.4727i | 0.363596 | − | 0.561823i | ||||
\(418\) | −17.4653 | + | 17.4653i | −0.854257 | + | 0.854257i | ||||
\(419\) | 17.6769 | 0.863575 | 0.431787 | − | 0.901975i | \(-0.357883\pi\) | ||||
0.431787 | + | 0.901975i | \(0.357883\pi\) | |||||||
\(420\) | −5.50511 | + | 2.14865i | −0.268622 | + | 0.104843i | ||||
\(421\) | −7.58718 | − | 13.1414i | −0.369777 | − | 0.640472i | 0.619754 | − | 0.784796i | \(-0.287232\pi\) |
−0.989530 | + | 0.144325i | \(0.953899\pi\) | |||||||
\(422\) | 5.21262 | + | 19.4538i | 0.253746 | + | 0.946995i | ||||
\(423\) | 27.1546 | + | 10.3257i | 1.32030 | + | 0.502053i | ||||
\(424\) | 2.17503 | − | 1.25575i | 0.105629 | − | 0.0609848i | ||||
\(425\) | −12.2025 | + | 0.738001i | −0.591908 | + | 0.0357983i | ||||
\(426\) | 5.12859 | − | 4.63244i | 0.248481 | − | 0.224442i | ||||
\(427\) | 3.92167 | − | 1.05081i | 0.189783 | − | 0.0508521i | ||||
\(428\) | 16.4109 | − | 4.39730i | 0.793253 | − | 0.212552i | ||||
\(429\) | 43.1463 | + | 13.9440i | 2.08312 | + | 0.673223i | ||||
\(430\) | −3.64419 | − | 22.4243i | −0.175739 | − | 1.08139i | ||||
\(431\) | 13.8277 | + | 7.98344i | 0.666058 | + | 0.384549i | 0.794581 | − | 0.607158i | \(-0.207690\pi\) |
−0.128523 | + | 0.991706i | \(0.541024\pi\) | |||||||
\(432\) | −0.788607 | + | 5.13596i | −0.0379419 | + | 0.247104i | ||||
\(433\) | −18.1223 | + | 18.1223i | −0.870904 | + | 0.870904i | −0.992571 | − | 0.121667i | \(-0.961176\pi\) |
0.121667 | + | 0.992571i | \(0.461176\pi\) | |||||||
\(434\) | 1.49669 | − | 8.36266i | 0.0718436 | − | 0.401420i | ||||
\(435\) | −0.720950 | − | 6.50871i | −0.0345669 | − | 0.312069i | ||||
\(436\) | 7.44218 | 0.356416 | ||||||||
\(437\) | −1.90179 | − | 7.09757i | −0.0909748 | − | 0.339523i | ||||
\(438\) | 26.8258 | + | 1.36353i | 1.28178 | + | 0.0651520i | ||||
\(439\) | 10.5174 | − | 6.07222i | 0.501967 | − | 0.289811i | −0.227558 | − | 0.973764i | \(-0.573074\pi\) |
0.729526 | + | 0.683953i | \(0.239741\pi\) | |||||||
\(440\) | 4.32654 | + | 9.61329i | 0.206260 | + | 0.458296i | ||||
\(441\) | −11.3646 | − | 8.20230i | −0.541171 | − | 0.390586i | ||||
\(442\) | −9.60002 | − | 9.60002i | −0.456627 | − | 0.456627i | ||||
\(443\) | −2.98723 | + | 11.1485i | −0.141927 | + | 0.529681i | 0.857945 | + | 0.513741i | \(0.171741\pi\) |
−0.999873 | + | 0.0159398i | \(0.994926\pi\) | |||||||
\(444\) | −4.77744 | + | 14.7826i | −0.226727 | + | 0.701552i | ||||
\(445\) | −12.8143 | − | 15.6949i | −0.607457 | − | 0.744007i | ||||
\(446\) | −21.9083 | − | 12.6487i | −1.03739 | − | 0.598935i | ||||
\(447\) | −21.2609 | + | 10.8752i | −1.00561 | + | 0.514379i | ||||
\(448\) | −0.394917 | − | 1.47385i | −0.0186581 | − | 0.0696329i | ||||
\(449\) | 38.5895 | 1.82115 | 0.910576 | − | 0.413343i | \(-0.135639\pi\) | ||||
0.910576 | + | 0.413343i | \(0.135639\pi\) | |||||||
\(450\) | 8.02824 | − | 12.6707i | 0.378455 | − | 0.597304i | ||||
\(451\) | −2.17435 | + | 3.76608i | −0.102386 | + | 0.177338i | ||||
\(452\) | −2.87231 | − | 0.769632i | −0.135102 | − | 0.0362005i | ||||
\(453\) | 6.71861 | + | 4.34809i | 0.315668 | + | 0.204291i | ||||
\(454\) | 6.57131 | − | 3.79395i | 0.308407 | − | 0.178059i | ||||
\(455\) | 11.9821 | + | 14.6755i | 0.561728 | + | 0.687998i | ||||
\(456\) | −2.79052 | + | 8.63458i | −0.130678 | + | 0.404351i | ||||
\(457\) | −13.5998 | − | 13.5998i | −0.636173 | − | 0.636173i | 0.313436 | − | 0.949609i | \(-0.398520\pi\) |
−0.949609 | + | 0.313436i | \(0.898520\pi\) | |||||||
\(458\) | −10.9426 | + | 2.93207i | −0.511316 | + | 0.137007i | ||||
\(459\) | 12.6284 | − | 1.38763i | 0.589441 | − | 0.0647691i | ||||
\(460\) | −3.12027 | − | 0.315267i | −0.145483 | − | 0.0146994i | ||||
\(461\) | − | 30.7101i | − | 1.43031i | −0.698965 | − | 0.715156i | \(-0.746356\pi\) | ||
0.698965 | − | 0.715156i | \(-0.253644\pi\) | |||||||
\(462\) | 6.76961 | − | 10.4603i | 0.314951 | − | 0.486657i | ||||
\(463\) | −9.09465 | + | 9.09465i | −0.422664 | + | 0.422664i | −0.886120 | − | 0.463456i | \(-0.846609\pi\) |
0.463456 | + | 0.886120i | \(0.346609\pi\) | |||||||
\(464\) | 1.69082 | 0.0784943 | ||||||||
\(465\) | 9.51170 | + | 19.3527i | 0.441094 | + | 0.897461i | ||||
\(466\) | 10.8319 | 0.501777 | ||||||||
\(467\) | 14.0216 | − | 14.0216i | 0.648843 | − | 0.648843i | −0.303870 | − | 0.952713i | \(-0.598279\pi\) |
0.952713 | + | 0.303870i | \(0.0982789\pi\) | |||||||
\(468\) | 16.4452 | − | 2.65777i | 0.760178 | − | 0.122855i | ||||
\(469\) | − | 16.9869i | − | 0.784380i | ||||||
\(470\) | 16.7732 | − | 13.6948i | 0.773689 | − | 0.631692i | ||||
\(471\) | 0.844930 | + | 3.94453i | 0.0389323 | + | 0.181754i | ||||
\(472\) | 2.67260 | − | 0.716120i | 0.123016 | − | 0.0329621i | ||||
\(473\) | 33.8702 | + | 33.8702i | 1.55735 | + | 1.55735i | ||||
\(474\) | 4.55797 | + | 1.47305i | 0.209355 | + | 0.0676592i | ||||
\(475\) | 17.3708 | − | 19.6073i | 0.797029 | − | 0.899643i | ||||
\(476\) | −3.23081 | + | 1.86531i | −0.148084 | + | 0.0854964i | ||||
\(477\) | 7.43801 | − | 1.20209i | 0.340563 | − | 0.0550398i | ||||
\(478\) | −9.95562 | − | 2.66760i | −0.455359 | − | 0.122013i | ||||
\(479\) | −16.7906 | + | 29.0822i | −0.767184 | + | 1.32880i | 0.171901 | + | 0.985114i | \(0.445009\pi\) |
−0.939084 | + | 0.343687i | \(0.888324\pi\) | |||||||
\(480\) | 3.02347 | + | 2.42046i | 0.138002 | + | 0.110478i | ||||
\(481\) | 49.8056 | 2.27094 | ||||||||
\(482\) | −2.61969 | − | 9.77683i | −0.119324 | − | 0.445323i | ||||
\(483\) | 1.68799 | + | 3.30001i | 0.0768062 | + | 0.150156i | ||||
\(484\) | −9.72274 | − | 5.61342i | −0.441943 | − | 0.255156i | ||||
\(485\) | 0.570113 | − | 5.64253i | 0.0258875 | − | 0.256214i | ||||
\(486\) | −7.68771 | + | 13.5609i | −0.348722 | + | 0.615137i | ||||
\(487\) | −4.74717 | + | 17.7167i | −0.215115 | + | 0.802819i | 0.771011 | + | 0.636821i | \(0.219751\pi\) |
−0.986126 | + | 0.165998i | \(0.946916\pi\) | |||||||
\(488\) | −1.88149 | − | 1.88149i | −0.0851711 | − | 0.0851711i | ||||
\(489\) | 0.355181 | − | 0.0760807i | 0.0160618 | − | 0.00344049i | ||||
\(490\) | −9.52615 | + | 4.28732i | −0.430348 | + | 0.193681i | ||||
\(491\) | −35.2739 | + | 20.3654i | −1.59189 | + | 0.919077i | −0.598905 | + | 0.800820i | \(0.704397\pi\) |
−0.992983 | + | 0.118256i | \(0.962270\pi\) | |||||||
\(492\) | −0.0811023 | + | 1.59559i | −0.00365637 | + | 0.0719346i | ||||
\(493\) | −1.06995 | − | 3.99312i | −0.0481883 | − | 0.179841i | ||||
\(494\) | 29.0917 | 1.30890 | ||||||||
\(495\) | 1.88165 | + | 31.5700i | 0.0845737 | + | 1.41897i | ||||
\(496\) | −5.23686 | + | 1.89086i | −0.235142 | + | 0.0849021i | ||||
\(497\) | −4.30502 | + | 4.30502i | −0.193106 | + | 0.193106i | ||||
\(498\) | 0.852621 | − | 16.7743i | 0.0382068 | − | 0.751672i | ||||
\(499\) | −5.28721 | − | 3.05257i | −0.236688 | − | 0.136652i | 0.376966 | − | 0.926227i | \(-0.376968\pi\) |
−0.613654 | + | 0.789575i | \(0.710301\pi\) | |||||||
\(500\) | −5.19563 | − | 9.89977i | −0.232355 | − | 0.442731i | ||||
\(501\) | 3.07613 | − | 9.51832i | 0.137431 | − | 0.425247i | ||||
\(502\) | −1.69769 | + | 0.454895i | −0.0757717 | + | 0.0203030i | ||||
\(503\) | 30.8022 | − | 8.25344i | 1.37340 | − | 0.368003i | 0.504683 | − | 0.863305i | \(-0.331609\pi\) |
0.868721 | + | 0.495302i | \(0.164943\pi\) | |||||||
\(504\) | 0.464144 | − | 4.55394i | 0.0206746 | − | 0.202848i | ||||
\(505\) | −11.1723 | + | 9.12179i | −0.497159 | + | 0.405914i | ||||
\(506\) | 5.72641 | − | 3.30615i | 0.254570 | − | 0.146976i | ||||
\(507\) | −14.0669 | − | 27.5008i | −0.624734 | − | 1.22135i | ||||
\(508\) | −5.25568 | − | 19.6144i | −0.233183 | − | 0.870250i | ||||
\(509\) | 6.32359 | + | 10.9528i | 0.280288 | + | 0.485473i | 0.971456 | − | 0.237221i | \(-0.0762367\pi\) |
−0.691168 | + | 0.722695i | \(0.742903\pi\) | |||||||
\(510\) | 3.80302 | − | 8.67204i | 0.168401 | − | 0.384004i | ||||
\(511\) | −23.6626 | −1.04677 | ||||||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −17.0318 | + | 21.2369i | −0.751973 | + | 0.937630i | ||||
\(514\) | −2.40209 | + | 1.38685i | −0.105952 | + | 0.0611713i | ||||
\(515\) | −4.12241 | − | 9.15973i | −0.181655 | − | 0.403626i | ||||
\(516\) | 16.7449 | + | 5.41161i | 0.737153 | + | 0.238233i | ||||
\(517\) | −11.8164 | + | 44.0993i | −0.519683 | + | 1.93948i | ||||
\(518\) | 3.54216 | − | 13.2195i | 0.155634 | − | 0.580833i | ||||
\(519\) | −4.26400 | + | 3.85150i | −0.187169 | + | 0.169062i | ||||
\(520\) | 4.40302 | − | 11.6097i | 0.193085 | − | 0.509117i | ||||
\(521\) | 10.5286 | + | 6.07869i | 0.461266 | + | 0.266312i | 0.712577 | − | 0.701594i | \(-0.247528\pi\) |
−0.251310 | + | 0.967907i | \(0.580861\pi\) | |||||||
\(522\) | 4.74125 | + | 1.80289i | 0.207519 | + | 0.0789101i | ||||
\(523\) | −1.41079 | + | 1.41079i | −0.0616896 | + | 0.0616896i | −0.737279 | − | 0.675589i | \(-0.763889\pi\) |
0.675589 | + | 0.737279i | \(0.263889\pi\) | |||||||
\(524\) | 3.84901 | − | 6.66669i | 0.168145 | − | 0.291236i | ||||
\(525\) | −6.49669 | + | 11.5069i | −0.283539 | + | 0.502200i | ||||
\(526\) | 29.2255 | 1.27429 | ||||||||
\(527\) | 7.77943 | + | 11.1711i | 0.338877 | + | 0.486619i | ||||
\(528\) | −8.15529 | − | 0.414526i | −0.354913 | − | 0.0180399i | ||||
\(529\) | − | 21.0329i | − | 0.914474i | ||||||
\(530\) | 1.99145 | − | 5.25095i | 0.0865031 | − | 0.228087i | ||||
\(531\) | 8.25785 | + | 0.841653i | 0.358360 | + | 0.0365246i | ||||
\(532\) | 2.06899 | − | 7.72158i | 0.0897022 | − | 0.334773i | ||||
\(533\) | 4.94743 | − | 1.32566i | 0.214297 | − | 0.0574207i | ||||
\(534\) | 15.3465 | − | 3.28726i | 0.664108 | − | 0.142254i | ||||
\(535\) | 22.2064 | − | 30.8245i | 0.960067 | − | 1.33266i | ||||
\(536\) | −9.64126 | + | 5.56639i | −0.416439 | + | 0.240431i | ||||
\(537\) | 0.0377753 | − | 0.0193224i | 0.00163012 | − | 0.000833824i | ||||
\(538\) | −22.5859 | − | 6.05187i | −0.973747 | − | 0.260915i | ||||
\(539\) | 11.0127 | − | 19.0745i | 0.474350 | − | 0.821599i | ||||
\(540\) | 5.89726 | + | 10.0111i | 0.253778 | + | 0.430810i | ||||
\(541\) | −18.0686 | + | 31.2957i | −0.776829 | + | 1.34551i | 0.156932 | + | 0.987609i | \(0.449840\pi\) |
−0.933761 | + | 0.357898i | \(0.883494\pi\) | |||||||
\(542\) | 7.65247 | − | 7.65247i | 0.328702 | − | 0.328702i | ||||
\(543\) | −1.93778 | + | 38.1234i | −0.0831581 | + | 1.63603i | ||||
\(544\) | 2.11740 | + | 1.22248i | 0.0907826 | + | 0.0524133i | ||||
\(545\) | 12.8904 | − | 10.5246i | 0.552165 | − | 0.450824i | ||||
\(546\) | −14.3498 | + | 3.07376i | −0.614114 | + | 0.131545i | ||||
\(547\) | 10.0767 | − | 37.6068i | 0.430849 | − | 1.60795i | −0.319961 | − | 0.947431i | \(-0.603670\pi\) |
0.750810 | − | 0.660519i | \(-0.229664\pi\) | |||||||
\(548\) | −4.90300 | + | 18.2982i | −0.209446 | + | 0.781662i | ||||
\(549\) | −3.26972 | − | 7.28210i | −0.139548 | − | 0.310793i | ||||
\(550\) | 21.0888 | + | 10.5324i | 0.899231 | + | 0.449104i | ||||
\(551\) | 7.67150 | + | 4.42914i | 0.326817 | + | 0.188688i | ||||
\(552\) | 1.31986 | − | 2.03943i | 0.0561769 | − | 0.0868038i | ||||
\(553\) | −4.07603 | − | 1.09217i | −0.173330 | − | 0.0464437i | ||||
\(554\) | −4.46336 | −0.189630 | ||||||||
\(555\) | 12.6304 | + | 32.3608i | 0.536131 | + | 1.37364i | ||||
\(556\) | 7.88991 | 0.334607 | ||||||||
\(557\) | 18.2629 | − | 18.2629i | 0.773823 | − | 0.773823i | −0.204950 | − | 0.978773i | \(-0.565703\pi\) |
0.978773 | + | 0.204950i | \(0.0657031\pi\) | |||||||
\(558\) | −16.7009 | − | 0.281768i | −0.707006 | − | 0.0119282i | ||||
\(559\) | − | 56.4170i | − | 2.38618i | ||||||
\(560\) | −2.76832 | − | 1.99434i | −0.116983 | − | 0.0842761i | ||||
\(561\) | 4.18171 | + | 19.5222i | 0.176552 | + | 0.824229i | ||||
\(562\) | −0.338865 | − | 0.338865i | −0.0142942 | − | 0.0142942i | ||||
\(563\) | 2.51351 | − | 9.38054i | 0.105932 | − | 0.395343i | −0.892517 | − | 0.451013i | \(-0.851063\pi\) |
0.998449 | + | 0.0556701i | \(0.0177295\pi\) | |||||||
\(564\) | 3.51312 | + | 16.4009i | 0.147929 | + | 0.690602i | ||||
\(565\) | −6.06345 | + | 2.72891i | −0.255091 | + | 0.114806i | ||||
\(566\) | 25.2749i | 1.06238i | ||||||||
\(567\) | 6.15728 | − | 12.2748i | 0.258582 | − | 0.515495i | ||||
\(568\) | 3.85411 | + | 1.03271i | 0.161715 | + | 0.0433313i | ||||
\(569\) | 7.57016 | + | 13.1119i | 0.317358 | + | 0.549680i | 0.979936 | − | 0.199313i | \(-0.0638711\pi\) |
−0.662578 | + | 0.748993i | \(0.730538\pi\) | |||||||
\(570\) | 7.37748 | + | 18.9021i | 0.309008 | + | 0.791720i | ||||
\(571\) | −9.39411 | − | 16.2711i | −0.393131 | − | 0.680923i | 0.599730 | − | 0.800203i | \(-0.295275\pi\) |
−0.992861 | + | 0.119280i | \(0.961941\pi\) | |||||||
\(572\) | 6.77565 | + | 25.2871i | 0.283304 | + | 1.05731i | ||||
\(573\) | −33.6411 | − | 1.70995i | −1.40538 | − | 0.0714341i | ||||
\(574\) | − | 1.40744i | − | 0.0587454i | ||||||
\(575\) | −5.85039 | + | 3.86657i | −0.243978 | + | 0.161247i | ||||
\(576\) | −2.73678 | + | 1.22883i | −0.114033 | + | 0.0512014i | ||||
\(577\) | 6.17161 | − | 1.65368i | 0.256928 | − | 0.0688435i | −0.128056 | − | 0.991767i | \(-0.540874\pi\) |
0.384984 | + | 0.922923i | \(0.374207\pi\) | |||||||
\(578\) | −2.85275 | + | 10.6466i | −0.118659 | + | 0.442841i | ||||
\(579\) | 11.3656 | − | 35.1680i | 0.472338 | − | 1.46153i | ||||
\(580\) | 2.92863 | − | 2.39113i | 0.121605 | − | 0.0992862i | ||||
\(581\) | 14.7963i | 0.613854i | ||||||||
\(582\) | 3.68799 | + | 2.38676i | 0.152872 | + | 0.0989345i | ||||
\(583\) | 3.06457 | + | 11.4371i | 0.126922 | + | 0.473678i | ||||
\(584\) | 7.75393 | + | 13.4302i | 0.320860 | + | 0.555746i | ||||
\(585\) | 24.7257 | − | 27.8599i | 1.02228 | − | 1.15187i | ||||
\(586\) | −12.6747 | + | 21.9532i | −0.523587 | + | 0.906879i | ||||
\(587\) | −9.83018 | + | 9.83018i | −0.405735 | + | 0.405735i | −0.880248 | − | 0.474513i | \(-0.842624\pi\) |
0.474513 | + | 0.880248i | \(0.342624\pi\) | |||||||
\(588\) | 0.410769 | − | 8.08137i | 0.0169398 | − | 0.333270i | ||||
\(589\) | −28.7136 | − | 5.13896i | −1.18312 | − | 0.211747i | ||||
\(590\) | 3.61642 | − | 5.01992i | 0.148885 | − | 0.206667i | ||||
\(591\) | −9.61905 | − | 10.6493i | −0.395675 | − | 0.438053i | ||||
\(592\) | −8.66376 | + | 2.32145i | −0.356078 | + | 0.0954109i | ||||
\(593\) | −18.5120 | − | 18.5120i | −0.760197 | − | 0.760197i | 0.216161 | − | 0.976358i | \(-0.430646\pi\) |
−0.976358 | + | 0.216161i | \(0.930646\pi\) | |||||||
\(594\) | −22.4263 | − | 9.85819i | −0.920164 | − | 0.404486i | ||||
\(595\) | −2.95812 | + | 7.79982i | −0.121271 | + | 0.319761i | ||||
\(596\) | −11.9404 | − | 6.89382i | −0.489100 | − | 0.282382i | ||||
\(597\) | 16.0779 | + | 0.817228i | 0.658026 | + | 0.0334469i | ||||
\(598\) | −7.52268 | − | 2.01570i | −0.307625 | − | 0.0824280i | ||||
\(599\) | −2.42298 | − | 4.19673i | −0.0990004 | − | 0.171474i | 0.812271 | − | 0.583281i | \(-0.198231\pi\) |
−0.911271 | + | 0.411807i | \(0.864898\pi\) | |||||||
\(600\) | 8.65985 | − | 0.0833152i | 0.353537 | − | 0.00340133i | ||||
\(601\) | 9.26392 | − | 16.0456i | 0.377883 | − | 0.654513i | −0.612871 | − | 0.790183i | \(-0.709985\pi\) |
0.990754 | + | 0.135670i | \(0.0433188\pi\) | |||||||
\(602\) | −14.9743 | − | 4.01236i | −0.610308 | − | 0.163532i | ||||
\(603\) | −32.9705 | + | 5.32850i | −1.34266 | + | 0.216993i | ||||
\(604\) | 4.62045i | 0.188003i | ||||||||
\(605\) | −24.7789 | + | 4.02685i | −1.00741 | + | 0.163715i | ||||
\(606\) | −2.34001 | − | 10.9243i | −0.0950566 | − | 0.443769i | ||||
\(607\) | −5.57659 | + | 20.8121i | −0.226347 | + | 0.844738i | 0.755514 | + | 0.655133i | \(0.227387\pi\) |
−0.981860 | + | 0.189605i | \(0.939279\pi\) | |||||||
\(608\) | −5.06053 | + | 1.35597i | −0.205232 | + | 0.0549917i | ||||
\(609\) | −4.25202 | − | 1.37417i | −0.172301 | − | 0.0556841i | ||||
\(610\) | −5.91965 | − | 0.598113i | −0.239680 | − | 0.0242169i | ||||
\(611\) | 46.5688 | − | 26.8865i | 1.88397 | − | 1.08771i | ||||
\(612\) | 4.63391 | + | 5.68570i | 0.187315 | + | 0.229831i | ||||
\(613\) | −7.25360 | − | 27.0708i | −0.292970 | − | 1.09338i | −0.942816 | − | 0.333313i | \(-0.891833\pi\) |
0.649846 | − | 0.760066i | \(-0.274833\pi\) | |||||||
\(614\) | 13.4961 | − | 23.3759i | 0.544658 | − | 0.943375i | ||||
\(615\) | 2.11598 | + | 2.87837i | 0.0853244 | + | 0.116067i | ||||
\(616\) | 7.19364 | 0.289840 | ||||||||
\(617\) | −0.592619 | − | 2.21169i | −0.0238580 | − | 0.0890391i | 0.952970 | − | 0.303064i | \(-0.0980094\pi\) |
−0.976828 | + | 0.214024i | \(0.931343\pi\) | |||||||
\(618\) | 7.77052 | + | 0.394969i | 0.312576 | + | 0.0158880i | ||||
\(619\) | 42.4235i | 1.70514i | 0.522610 | + | 0.852572i | \(0.324958\pi\) | ||||
−0.522610 | + | 0.852572i | \(0.675042\pi\) | |||||||
\(620\) | −6.39661 | + | 10.6810i | −0.256894 | + | 0.428959i | ||||
\(621\) | 5.87563 | − | 4.31145i | 0.235781 | − | 0.173012i | ||||
\(622\) | −20.7425 | − | 20.7425i | −0.831697 | − | 0.831697i | ||||
\(623\) | −13.3550 | + | 3.57846i | −0.535057 | + | 0.143368i | ||||
\(624\) | 6.44682 | + | 7.13729i | 0.258079 | + | 0.285720i | ||||
\(625\) | −22.9993 | − | 9.79959i | −0.919972 | − | 0.391984i | ||||
\(626\) | 22.1548 | + | 12.7911i | 0.885483 | + | 0.511234i | ||||
\(627\) | −35.9159 | − | 23.2437i | −1.43434 | − | 0.928266i | ||||
\(628\) | −1.64688 | + | 1.64688i | −0.0657176 | + | 0.0657176i | ||||
\(629\) | 10.9649 | + | 18.9917i | 0.437198 | + | 0.757250i | ||||
\(630\) | −5.63617 | − | 8.54415i | −0.224550 | − | 0.340407i | ||||
\(631\) | −7.83936 | − | 13.5782i | −0.312080 | − | 0.540539i | 0.666732 | − | 0.745297i | \(-0.267692\pi\) |
−0.978813 | + | 0.204759i | \(0.934359\pi\) | |||||||
\(632\) | 0.715780 | + | 2.67133i | 0.0284722 | + | 0.106260i | ||||
\(633\) | −31.0565 | + | 15.8857i | −1.23438 | + | 0.631401i | ||||
\(634\) | −20.6578 | − | 11.9268i | −0.820426 | − | 0.473673i | ||||
\(635\) | −36.8416 | − | 26.5412i | −1.46202 | − | 1.05326i | ||||
\(636\) | 2.91584 | + | 3.22814i | 0.115621 | + | 0.128004i | ||||
\(637\) | −25.0579 | + | 6.71424i | −0.992829 | + | 0.266028i | ||||
\(638\) | −2.06316 | + | 7.69981i | −0.0816812 | + | 0.304838i | ||||
\(639\) | 9.70620 | + | 7.00538i | 0.383971 | + | 0.277128i | ||||
\(640\) | −0.224784 | + | 2.22474i | −0.00888538 | + | 0.0879406i | ||||
\(641\) | −1.60034 | + | 0.923957i | −0.0632097 | + | 0.0364941i | −0.531272 | − | 0.847201i | \(-0.678286\pi\) |
0.468062 | + | 0.883696i | \(0.344952\pi\) | |||||||
\(642\) | 13.4010 | + | 26.1989i | 0.528895 | + | 1.03399i | ||||
\(643\) | 33.8564 | − | 33.8564i | 1.33517 | − | 1.33517i | 0.434488 | − | 0.900678i | \(-0.356929\pi\) |
0.900678 | − | 0.434488i | \(-0.143071\pi\) | |||||||
\(644\) | −1.07002 | + | 1.85333i | −0.0421648 | + | 0.0730316i | ||||
\(645\) | 36.6564 | − | 14.3070i | 1.44335 | − | 0.563338i | ||||
\(646\) | 6.40463 | + | 11.0931i | 0.251987 | + | 0.436454i | ||||
\(647\) | −24.1002 | + | 24.1002i | −0.947475 | + | 0.947475i | −0.998688 | − | 0.0512124i | \(-0.983691\pi\) |
0.0512124 | + | 0.998688i | \(0.483691\pi\) | |||||||
\(648\) | −8.98452 | + | 0.527617i | −0.352945 | + | 0.0207268i | ||||
\(649\) | 13.0445i | 0.512043i | ||||||||
\(650\) | −8.79181 | − | 26.3355i | −0.344843 | − | 1.03296i | ||||
\(651\) | 14.7062 | − | 0.498963i | 0.576383 | − | 0.0195559i | ||||
\(652\) | 0.148291 | + | 0.148291i | 0.00580753 | + | 0.00580753i | ||||
\(653\) | −9.05246 | − | 9.05246i | −0.354250 | − | 0.354250i | 0.507438 | − | 0.861688i | \(-0.330593\pi\) |
−0.861688 | + | 0.507438i | \(0.830593\pi\) | |||||||
\(654\) | 2.69988 | + | 12.6043i | 0.105574 | + | 0.492868i | ||||
\(655\) | −2.76113 | − | 16.9904i | −0.107886 | − | 0.663871i | ||||
\(656\) | −0.798823 | + | 0.461201i | −0.0311888 | + | 0.0180069i | ||||
\(657\) | 7.42255 | + | 45.9276i | 0.289581 | + | 1.79181i | ||||
\(658\) | −3.82432 | − | 14.2726i | −0.149088 | − | 0.556403i | ||||
\(659\) | 19.7762 | 0.770370 | 0.385185 | − | 0.922839i | \(-0.374138\pi\) | ||||
0.385185 | + | 0.922839i | \(0.374138\pi\) | |||||||
\(660\) | −14.7118 | + | 10.8151i | −0.572656 | + | 0.420976i | ||||
\(661\) | −9.46536 | − | 16.3945i | −0.368160 | − | 0.637672i | 0.621118 | − | 0.783717i | \(-0.286679\pi\) |
−0.989278 | + | 0.146045i | \(0.953345\pi\) | |||||||
\(662\) | 6.12646 | + | 1.64158i | 0.238112 | + | 0.0638018i | ||||
\(663\) | 12.7762 | − | 19.7416i | 0.496187 | − | 0.766701i | ||||
\(664\) | 8.39796 | − | 4.84856i | 0.325904 | − | 0.188161i | ||||
\(665\) | −7.33608 | − | 16.3003i | −0.284481 | − | 0.632098i | ||||
\(666\) | −26.7695 | − | 2.72839i | −1.03730 | − | 0.105723i | ||||
\(667\) | −1.67685 | − | 1.67685i | −0.0649280 | − | 0.0649280i | ||||
\(668\) | 5.57847 | − | 1.49475i | 0.215838 | − | 0.0578335i | ||||
\(669\) | 13.4744 | − | 41.6933i | 0.520951 | − | 1.61195i | ||||
\(670\) | −8.82751 | + | 23.2759i | −0.341037 | + | 0.899227i | ||||
\(671\) | 10.8639 | − | 6.27229i | 0.419397 | − | 0.242139i | ||||
\(672\) | 2.35289 | − | 1.20353i | 0.0907648 | − | 0.0464272i | ||||
\(673\) | −15.7429 | − | 4.21828i | −0.606842 | − | 0.162603i | −0.0577031 | − | 0.998334i | \(-0.518378\pi\) |
−0.549139 | + | 0.835731i | \(0.685044\pi\) | |||||||
\(674\) | −13.6815 | −0.526993 | ||||||||
\(675\) | 24.3720 | + | 9.00020i | 0.938080 | + | 0.346418i | ||||
\(676\) | 8.91707 | − | 15.4448i | 0.342964 | − | 0.594032i | ||||
\(677\) | −19.9621 | − | 5.34883i | −0.767206 | − | 0.205572i | −0.146069 | − | 0.989274i | \(-0.546662\pi\) |
−0.621137 | + | 0.783702i | \(0.713329\pi\) | |||||||
\(678\) | 0.261457 | − | 5.14384i | 0.0100412 | − | 0.197548i | ||||
\(679\) | −3.35147 | − | 1.93497i | −0.128618 | − | 0.0742574i | ||||
\(680\) | 5.39630 | − | 0.876958i | 0.206939 | − | 0.0336298i | ||||
\(681\) | 8.80949 | + | 9.75301i | 0.337581 | + | 0.373736i | ||||
\(682\) | −2.22070 | − | 26.1553i | −0.0850348 | − | 1.00154i | ||||
\(683\) | 3.95466 | + | 3.95466i | 0.151321 | + | 0.151321i | 0.778708 | − | 0.627387i | \(-0.215876\pi\) |
−0.627387 | + | 0.778708i | \(0.715876\pi\) | |||||||
\(684\) | −15.6361 | − | 1.59366i | −0.597863 | − | 0.0609351i | ||||
\(685\) | 17.3847 | + | 38.6277i | 0.664235 | + | 1.47589i | ||||
\(686\) | 17.8093i | 0.679964i | ||||||||
\(687\) | −8.93562 | − | 17.4691i | −0.340915 | − | 0.666488i | ||||
\(688\) | 2.62960 | + | 9.81381i | 0.100253 | + | 0.374148i | ||||
\(689\) | 6.97301 | − | 12.0776i | 0.265651 | − | 0.460120i | ||||
\(690\) | −0.598027 | − | 5.39897i | −0.0227665 | − | 0.205535i | ||||
\(691\) | 20.5420 | + | 35.5798i | 0.781454 | + | 1.35352i | 0.931095 | + | 0.364778i | \(0.118855\pi\) |
−0.149640 | + | 0.988740i | \(0.547812\pi\) | |||||||
\(692\) | −3.20438 | − | 0.858610i | −0.121812 | − | 0.0326395i | ||||
\(693\) | 20.1718 | + | 7.67043i | 0.766263 | + | 0.291376i | ||||
\(694\) | 0.848367 | + | 0.489805i | 0.0322036 | + | 0.0185927i | ||||
\(695\) | 13.6659 | − | 11.1578i | 0.518378 | − | 0.423238i | ||||
\(696\) | 0.613396 | + | 2.86363i | 0.0232507 | + | 0.108545i | ||||
\(697\) | 1.59469 | + | 1.59469i | 0.0604032 | + | 0.0604032i | ||||
\(698\) | −18.6891 | − | 18.6891i | −0.707394 | − | 0.707394i | ||||
\(699\) | 3.92960 | + | 18.3452i | 0.148631 | + | 0.693880i | ||||
\(700\) | −7.61530 | + | 0.460570i | −0.287831 | + | 0.0174079i | ||||
\(701\) | −39.6219 | − | 22.8757i | −1.49650 | − | 0.864005i | −0.496508 | − | 0.868032i | \(-0.665385\pi\) |
−0.999992 | + | 0.00402704i | \(0.998718\pi\) | |||||||
\(702\) | 10.4673 | + | 26.8879i | 0.395062 | + | 1.01482i | ||||
\(703\) | −45.3899 | − | 12.1622i | −1.71191 | − | 0.458705i | ||||
\(704\) | −2.35727 | − | 4.08291i | −0.0888429 | − | 0.153880i | ||||
\(705\) | 29.2789 | + | 23.4394i | 1.10271 | + | 0.882779i | ||||
\(706\) | −17.2771 | + | 29.9248i | −0.650233 | + | 1.12624i | ||||
\(707\) | 2.54730 | + | 9.50666i | 0.0958012 | + | 0.357535i | ||||
\(708\) | 2.18241 | + | 4.26660i | 0.0820200 | + | 0.160349i | ||||
\(709\) | − | 29.0248i | − | 1.09005i | −0.838421 | − | 0.545024i | \(-0.816521\pi\) | ||
0.838421 | − | 0.545024i | \(-0.183479\pi\) | |||||||
\(710\) | 8.13604 | − | 3.66169i | 0.305340 | − | 0.137421i | ||||
\(711\) | −0.841253 | + | 8.25392i | −0.0315494 | + | 0.309546i | ||||
\(712\) | 6.40730 | + | 6.40730i | 0.240124 | + | 0.240124i | ||||
\(713\) | 7.06884 | + | 3.31836i | 0.264730 | + | 0.124274i | ||||
\(714\) | −4.33123 | − | 4.79511i | −0.162092 | − | 0.179452i | ||||
\(715\) | 47.4965 | + | 34.2171i | 1.77627 | + | 1.27965i | ||||
\(716\) | 0.0212151 | + | 0.0122486i | 0.000792847 | + | 0.000457750i | ||||
\(717\) | 0.906228 | − | 17.8289i | 0.0338437 | − | 0.665833i | ||||
\(718\) | 32.6381 | + | 8.74535i | 1.21804 | + | 0.326374i | ||||
\(719\) | 1.02315 | − | 1.77215i | 0.0381570 | − | 0.0660899i | −0.846316 | − | 0.532681i | \(-0.821185\pi\) |
0.884473 | + | 0.466591i | \(0.154518\pi\) | |||||||
\(720\) | −3.00252 | + | 5.99874i | −0.111897 | + | 0.223560i | ||||
\(721\) | −6.85425 | −0.255265 | ||||||||
\(722\) | −8.15980 | − | 2.18641i | −0.303676 | − | 0.0813698i | ||||
\(723\) | 15.6080 | − | 7.98364i | 0.580467 | − | 0.296915i | ||||
\(724\) | −19.0863 | + | 11.0195i | −0.709337 | + | 0.409536i | ||||
\(725\) | 1.69111 | − | 8.28323i | 0.0628064 | − | 0.307631i | ||||
\(726\) | 5.97986 | − | 18.5032i | 0.221933 | − | 0.686717i | ||||
\(727\) | 31.3318 | − | 8.39534i | 1.16203 | − | 0.311366i | 0.374256 | − | 0.927326i | \(-0.377898\pi\) |
0.787778 | + | 0.615960i | \(0.211232\pi\) | |||||||
\(728\) | −5.99116 | − | 5.99116i | −0.222047 | − | 0.222047i | ||||
\(729\) | −25.7562 | − | 8.10051i | −0.953933 | − | 0.300019i | ||||
\(730\) | 32.4232 | + | 12.2967i | 1.20003 | + | 0.455119i | ||||
\(731\) | 21.5127 | − | 12.4204i | 0.795677 | − | 0.459385i | ||||
\(732\) | 2.50398 | − | 3.86912i | 0.0925499 | − | 0.143007i | ||||
\(733\) | −13.5343 | − | 3.62651i | −0.499902 | − | 0.133948i | 5.25650e−5 | − | 1.00000i | \(-0.499983\pi\) |
−0.499954 | + | 0.866052i | \(0.666650\pi\) | |||||||
\(734\) | −9.68910 | − | 16.7820i | −0.357631 | − | 0.619436i | ||||
\(735\) | −10.7170 | − | 14.5784i | −0.395304 | − | 0.537734i | ||||
\(736\) | 1.40253 | 0.0516980 | ||||||||
\(737\) | −13.5843 | − | 50.6974i | −0.500386 | − | 1.86746i | ||||
\(738\) | −2.73176 | + | 0.441491i | −0.100557 | + | 0.0162515i | ||||
\(739\) | 10.9719 | − | 6.33462i | 0.403607 | − | 0.233023i | −0.284432 | − | 0.958696i | \(-0.591805\pi\) |
0.688039 | + | 0.725674i | \(0.258472\pi\) | |||||||
\(740\) | −11.7233 | + | 16.2731i | −0.430958 | + | 0.598210i | ||||
\(741\) | 10.5539 | + | 49.2706i | 0.387707 | + | 1.81000i | ||||
\(742\) | −2.70975 | − | 2.70975i | −0.0994781 | − | 0.0994781i | ||||
\(743\) | 7.89277 | + | 7.89277i | 0.289558 | + | 0.289558i | 0.836905 | − | 0.547348i | \(-0.184362\pi\) |
−0.547348 | + | 0.836905i | \(0.684362\pi\) | |||||||
\(744\) | −5.10225 | − | 8.18334i | −0.187058 | − | 0.300016i | ||||
\(745\) | −30.4309 | + | 4.94536i | −1.11490 | + | 0.181184i | ||||
\(746\) | 22.5366i | 0.825123i | ||||||||
\(747\) | 28.7187 | − | 4.64135i | 1.05076 | − | 0.169818i | ||||
\(748\) | −8.15071 | + | 8.15071i | −0.298019 | + | 0.298019i | ||||
\(749\) | −12.9619 | − | 22.4507i | −0.473619 | − | 0.820332i | ||||
\(750\) | 14.8817 | − | 12.3909i | 0.543403 | − | 0.452453i | ||||
\(751\) | 12.4585 | − | 21.5787i | 0.454616 | − | 0.787417i | −0.544050 | − | 0.839053i | \(-0.683110\pi\) |
0.998666 | + | 0.0516353i | \(0.0164433\pi\) | |||||||
\(752\) | −6.84752 | + | 6.84752i | −0.249704 | + | 0.249704i | ||||
\(753\) | −1.38631 | − | 2.71024i | −0.0505201 | − | 0.0987666i | ||||
\(754\) | 8.13100 | − | 4.69443i | 0.296113 | − | 0.170961i | ||||
\(755\) | 6.53416 | + | 8.00297i | 0.237802 | + | 0.291258i | ||||
\(756\) | 7.88108 | − | 0.865990i | 0.286632 | − | 0.0314958i | ||||
\(757\) | 7.87564 | − | 29.3923i | 0.286245 | − | 1.06828i | −0.661680 | − | 0.749786i | \(-0.730156\pi\) |
0.947925 | − | 0.318494i | \(-0.103177\pi\) | |||||||
\(758\) | −8.47224 | + | 2.27013i | −0.307725 | + | 0.0824548i | ||||
\(759\) | 7.67683 | + | 8.49903i | 0.278651 | + | 0.308495i | ||||
\(760\) | −6.84765 | + | 9.50516i | −0.248390 | + | 0.344788i | ||||
\(761\) | −6.33239 | − | 3.65601i | −0.229549 | − | 0.132530i | 0.380815 | − | 0.924651i | \(-0.375643\pi\) |
−0.610364 | + | 0.792121i | \(0.708977\pi\) | |||||||
\(762\) | 31.3130 | − | 16.0169i | 1.13435 | − | 0.580232i | ||||
\(763\) | −2.93904 | − | 10.9687i | −0.106401 | − | 0.397092i | ||||
\(764\) | −9.72389 | − | 16.8423i | −0.351798 | − | 0.609332i | ||||
\(765\) | 16.0669 | + | 3.29487i | 0.580900 | + | 0.119126i | ||||
\(766\) | −13.7431 | − | 23.8037i | −0.496558 | − | 0.860064i | ||||
\(767\) | 10.8640 | − | 10.8640i | 0.392277 | − | 0.392277i | ||||
\(768\) | −1.45410 | − | 0.941054i | −0.0524704 | − | 0.0339574i | ||||
\(769\) | −8.88607 | − | 5.13037i | −0.320440 | − | 0.185006i | 0.331149 | − | 0.943579i | \(-0.392564\pi\) |
−0.651589 | + | 0.758573i | \(0.725897\pi\) | |||||||
\(770\) | 12.4599 | − | 10.1731i | 0.449025 | − | 0.366614i | ||||
\(771\) | −3.22025 | − | 3.56514i | −0.115974 | − | 0.128395i | ||||
\(772\) | 20.6112 | − | 5.52275i | 0.741812 | − | 0.198768i | ||||
\(773\) | −16.1198 | − | 16.1198i | −0.579789 | − | 0.579789i | 0.355056 | − | 0.934845i | \(-0.384462\pi\) |
−0.934845 | + | 0.355056i | \(0.884462\pi\) | |||||||
\(774\) | −3.09056 | + | 30.3229i | −0.111088 | + | 1.08993i | ||||
\(775\) | 4.02545 | + | 27.5462i | 0.144598 | + | 0.989490i | ||||
\(776\) | 2.53627i | 0.0910466i | ||||||||
\(777\) | 23.6741 | + | 1.20333i | 0.849302 | + | 0.0431693i | ||||
\(778\) | −2.67779 | − | 9.99363i | −0.0960033 | − | 0.358289i | ||||
\(779\) | −4.83251 | −0.173143 | ||||||||
\(780\) | 21.2598 | + | 3.24534i | 0.761224 | + | 0.116202i | ||||
\(781\) | −9.40566 | + | 16.2911i | −0.336561 | + | 0.582940i | ||||
\(782\) | −0.887525 | − | 3.31229i | −0.0317378 | − | 0.118447i | ||||
\(783\) | −1.33339 | + | 8.68398i | −0.0476515 | + | 0.310340i | ||||
\(784\) | 4.04590 | − | 2.33590i | 0.144496 | − | 0.0834250i | ||||
\(785\) | −0.523531 | + | 5.18150i | −0.0186856 | + | 0.184936i | ||||
\(786\) | 12.6873 | + | 4.10027i | 0.452540 | + | 0.146252i | ||||
\(787\) | 20.2839 | − | 5.43504i | 0.723042 | − | 0.193738i | 0.121513 | − | 0.992590i | \(-0.461225\pi\) |
0.601528 | + | 0.798851i | \(0.294559\pi\) | |||||||
\(788\) | 2.14437 | − | 8.00288i | 0.0763899 | − | 0.285091i | ||||
\(789\) | 10.6025 | + | 49.4973i | 0.377458 | + | 1.76215i | ||||
\(790\) | 5.01753 | + | 3.61470i | 0.178516 | + | 0.128605i | ||||
\(791\) | 4.53729i | 0.161328i | ||||||||
\(792\) | −2.25653 | − | 13.9624i | −0.0801821 | − | 0.496134i | ||||
\(793\) | −14.2717 | − | 3.82410i | −0.506804 | − | 0.135798i | ||||
\(794\) | −7.81355 | + | 13.5335i | −0.277292 | + | 0.480285i | ||||
\(795\) | 9.61564 | + | 1.46784i | 0.341032 | + | 0.0520590i | ||||
\(796\) | 4.64729 | + | 8.04935i | 0.164719 | + | 0.285302i | ||||
\(797\) | −51.8174 | − | 13.8844i | −1.83547 | − | 0.491812i | −0.837001 | − | 0.547201i | \(-0.815693\pi\) |
−0.998465 | + | 0.0553899i | \(0.982360\pi\) | |||||||
\(798\) | 13.8281 | + | 0.702871i | 0.489510 | + | 0.0248813i | ||||
\(799\) | 20.5046 | + | 11.8383i | 0.725399 | + | 0.418809i | ||||
\(800\) | 2.75685 | + | 4.17131i | 0.0974693 | + | 0.147478i | ||||
\(801\) | 11.1348 | + | 24.7988i | 0.393430 | + | 0.876222i | ||||
\(802\) | −6.09185 | − | 6.09185i | −0.215111 | − | 0.215111i | ||||
\(803\) | −70.6211 | + | 18.9229i | −2.49216 | + | 0.667774i | ||||
\(804\) | −12.9251 | − | 14.3094i | −0.455832 | − | 0.504653i | ||||
\(805\) | 0.767592 | + | 4.72332i | 0.0270541 | + | 0.166475i | ||||
\(806\) | −19.9337 | + | 23.6327i | −0.702136 | + | 0.832427i | ||||
\(807\) | 2.05592 | − | 40.4477i | 0.0723718 | − | 1.42383i | ||||
\(808\) | 4.56099 | − | 4.56099i | 0.160455 | − | 0.160455i | ||||
\(809\) | 11.2518 | − | 19.4887i | 0.395593 | − | 0.685187i | −0.597584 | − | 0.801807i | \(-0.703872\pi\) |
0.993177 | + | 0.116619i | \(0.0372057\pi\) | |||||||
\(810\) | −14.8157 | + | 13.6196i | −0.520572 | + | 0.478545i | ||||
\(811\) | −6.85535 | − | 11.8738i | −0.240724 | − | 0.416946i | 0.720197 | − | 0.693770i | \(-0.244051\pi\) |
−0.960921 | + | 0.276824i | \(0.910718\pi\) | |||||||
\(812\) | −0.667734 | − | 2.49202i | −0.0234329 | − | 0.0874526i | ||||
\(813\) | 15.7366 | + | 10.1843i | 0.551908 | + | 0.357179i | ||||
\(814\) | − | 42.2865i | − | 1.48214i | ||||||
\(815\) | 0.466562 | + | 0.0471407i | 0.0163430 | + | 0.00165127i | ||||
\(816\) | −1.30228 | + | 4.02958i | −0.0455889 | + | 0.141064i | ||||
\(817\) | −13.7766 | + | 51.4150i | −0.481983 | + | 1.79878i | ||||
\(818\) | 17.0124 | − | 4.55847i | 0.594826 | − | 0.159383i | ||||
\(819\) | −10.4116 | − | 23.1881i | −0.363812 | − | 0.810259i | ||||
\(820\) | −0.731400 | + | 1.92852i | −0.0255416 | + | 0.0673467i | ||||
\(821\) | − | 5.92651i | − | 0.206837i | −0.994638 | − | 0.103418i | \(-0.967022\pi\) | ||
0.994638 | − | 0.103418i | \(-0.0329781\pi\) | |||||||
\(822\) | −32.7692 | − | 1.66563i | −1.14296 | − | 0.0580955i | ||||
\(823\) | −9.01999 | − | 33.6631i | −0.314417 | − | 1.17342i | −0.924531 | − | 0.381107i | \(-0.875543\pi\) |
0.610114 | − | 0.792314i | \(-0.291124\pi\) | |||||||
\(824\) | 2.24605 | + | 3.89028i | 0.0782449 | + | 0.135524i | ||||
\(825\) | −10.1874 | + | 39.5377i | −0.354681 | + | 1.37653i | ||||
\(826\) | −2.11091 | − | 3.65620i | −0.0734479 | − | 0.127216i | ||||
\(827\) | −1.51228 | − | 0.405214i | −0.0525871 | − | 0.0140907i | 0.232430 | − | 0.972613i | \(-0.425332\pi\) |
−0.285017 | + | 0.958523i | \(0.591999\pi\) | |||||||
\(828\) | 3.93286 | + | 1.49549i | 0.136676 | + | 0.0519719i | ||||
\(829\) | − | 40.5084i | − | 1.40692i | −0.710737 | − | 0.703458i | \(-0.751638\pi\) | ||
0.710737 | − | 0.703458i | \(-0.248362\pi\) | |||||||
\(830\) | 7.68914 | − | 20.2743i | 0.266894 | − | 0.703732i | ||||
\(831\) | −1.61922 | − | 7.55930i | −0.0561702 | − | 0.262229i | ||||
\(832\) | −1.43718 | + | 5.36364i | −0.0498254 | + | 0.185951i | ||||
\(833\) | −8.07683 | − | 8.07683i | −0.279845 | − | 0.279845i | ||||
\(834\) | 2.86231 | + | 13.3626i | 0.0991135 | + | 0.462709i | ||||
\(835\) | 7.54849 | − | 10.4780i | 0.261226 | − | 0.362606i | ||||
\(836\) | − | 24.6997i | − | 0.854257i | ||||||
\(837\) | −5.58156 | − | 28.3874i | −0.192927 | − | 0.981213i | ||||
\(838\) | −12.4995 | + | 12.4995i | −0.431787 | + | 0.431787i | ||||
\(839\) | 3.27832 | 0.113180 | 0.0565902 | − | 0.998397i | \(-0.481977\pi\) | ||||
0.0565902 | + | 0.998397i | \(0.481977\pi\) | |||||||
\(840\) | 2.37338 | − | 5.41203i | 0.0818894 | − | 0.186733i | ||||
\(841\) | −26.1411 | −0.901418 | ||||||||
\(842\) | 14.6573 | + | 3.92741i | 0.505124 | + | 0.135348i | ||||
\(843\) | 0.450979 | − | 0.696847i | 0.0155325 | − | 0.0240007i | ||||
\(844\) | −17.4418 | − | 10.0700i | −0.600371 | − | 0.346624i | ||||
\(845\) | −6.39676 | − | 39.3620i | −0.220055 | − | 1.35409i | ||||
\(846\) | −26.5026 | + | 11.8999i | −0.911178 | + | 0.409126i | ||||
\(847\) | −4.43368 | + | 16.5467i | −0.152343 | + | 0.568552i | ||||
\(848\) | −0.650026 | + | 2.42593i | −0.0223220 | + | 0.0833068i | ||||
\(849\) | −42.8063 | + | 9.16923i | −1.46911 | + | 0.314687i | ||||
\(850\) | 8.10662 | − | 9.15031i | 0.278055 | − | 0.313853i | ||||
\(851\) | 10.8945 | + | 6.28993i | 0.373458 | + | 0.215616i | ||||
\(852\) | −0.350827 | + | 6.90209i | −0.0120191 | + | 0.236462i | ||||
\(853\) | −2.78602 | + | 2.78602i | −0.0953914 | + | 0.0953914i | −0.753192 | − | 0.657801i | \(-0.771487\pi\) |
0.657801 | + | 0.753192i | \(0.271487\pi\) | |||||||
\(854\) | −2.03000 | + | 3.51607i | −0.0694653 | + | 0.120317i | ||||
\(855\) | −29.3367 | + | 19.3520i | −1.00329 | + | 0.661825i | ||||
\(856\) | −8.49493 | + | 14.7137i | −0.290351 | + | 0.502902i | ||||
\(857\) | −20.5729 | − | 5.51249i | −0.702757 | − | 0.188303i | −0.110292 | − | 0.993899i | \(-0.535179\pi\) |
−0.592465 | + | 0.805596i | \(0.701845\pi\) | |||||||
\(858\) | −40.3689 | + | 20.6491i | −1.37817 | + | 0.704950i | ||||
\(859\) | −36.1520 | + | 20.8724i | −1.23349 | + | 0.712156i | −0.967756 | − | 0.251890i | \(-0.918948\pi\) |
−0.265735 | + | 0.964046i | \(0.585615\pi\) | |||||||
\(860\) | 18.4332 | + | 13.2795i | 0.628566 | + | 0.452828i | ||||
\(861\) | 2.38369 | − | 0.510592i | 0.0812358 | − | 0.0174009i | ||||
\(862\) | −15.4228 | + | 4.13253i | −0.525303 | + | 0.140755i | ||||
\(863\) | −13.0000 | + | 48.5168i | −0.442526 | + | 1.65153i | 0.279859 | + | 0.960041i | \(0.409712\pi\) |
−0.722386 | + | 0.691490i | \(0.756954\pi\) | |||||||
\(864\) | −3.07404 | − | 4.18930i | −0.104581 | − | 0.142523i | ||||
\(865\) | −6.76446 | + | 3.04440i | −0.229998 | + | 0.103513i | ||||
\(866\) | − | 25.6288i | − | 0.870904i | ||||||
\(867\) | −19.0664 | − | 0.969127i | −0.647528 | − | 0.0329133i | ||||
\(868\) | 4.85497 | + | 6.97161i | 0.164788 | + | 0.236632i | ||||
\(869\) | −13.0383 | −0.442295 | ||||||||
\(870\) | 5.11214 | + | 4.09256i | 0.173318 | + | 0.138751i | ||||
\(871\) | −30.9093 | + | 53.5365i | −1.04732 | + | 1.81401i | ||||
\(872\) | −5.26241 | + | 5.26241i | −0.178208 | + | 0.178208i | ||||
\(873\) | −2.70437 | + | 7.11198i | −0.0915290 | + | 0.240704i | ||||
\(874\) | 6.36350 | + | 3.67397i | 0.215249 | + | 0.124274i | ||||
\(875\) | −12.5389 | + | 11.5672i | −0.423894 | + | 0.391042i | ||||
\(876\) | −19.9328 | + | 18.0045i | −0.673468 | + | 0.608316i | ||||
\(877\) | −0.804379 | + | 3.00198i | −0.0271619 | + | 0.101370i | −0.978176 | − | 0.207778i | \(-0.933377\pi\) |
0.951014 | + | 0.309147i | \(0.100044\pi\) | |||||||
\(878\) | −3.14321 | + | 11.7306i | −0.106078 | + | 0.395889i | ||||
\(879\) | −41.7788 | − | 13.5021i | −1.40916 | − | 0.455413i | ||||
\(880\) | −9.85695 | − | 3.73830i | −0.332278 | − | 0.126018i | ||||
\(881\) | 13.5152 | − | 7.80303i | 0.455340 | − | 0.262891i | −0.254743 | − | 0.967009i | \(-0.581991\pi\) |
0.710083 | + | 0.704118i | \(0.248657\pi\) | |||||||
\(882\) | 13.8359 | − | 2.23607i | 0.465878 | − | 0.0752925i | ||||
\(883\) | −4.35149 | + | 4.35149i | −0.146439 | + | 0.146439i | −0.776525 | − | 0.630086i | \(-0.783020\pi\) |
0.630086 | + | 0.776525i | \(0.283020\pi\) | |||||||
\(884\) | 13.5765 | 0.456627 | ||||||||
\(885\) | 9.81386 | + | 4.30375i | 0.329889 | + | 0.144669i | ||||
\(886\) | −5.77088 | − | 9.99546i | −0.193877 | − | 0.335804i | ||||
\(887\) | −4.18317 | − | 15.6118i | −0.140457 | − | 0.524192i | −0.999916 | − | 0.0129873i | \(-0.995866\pi\) |
0.859459 | − | 0.511205i | \(-0.170801\pi\) | |||||||
\(888\) | −7.07472 | − | 13.8310i | −0.237412 | − | 0.464139i | ||||
\(889\) | −26.8332 | + | 15.4922i | −0.899958 | + | 0.519591i | ||||
\(890\) | 20.1590 | + | 2.03684i | 0.675732 | + | 0.0682750i | ||||
\(891\) | 8.56031 | − | 41.5583i | 0.286781 | − | 1.39226i | ||||
\(892\) | 24.4355 | − | 6.54747i | 0.818161 | − | 0.219225i | ||||
\(893\) | −49.0055 | + | 13.1310i | −1.63991 | + | 0.439412i | ||||
\(894\) | 7.34383 | − | 22.7237i | 0.245615 | − | 0.759993i | ||||
\(895\) | 0.0540679 | − | 0.00878663i | 0.00180729 | − | 0.000293705i | ||||
\(896\) | 1.32142 | + | 0.762922i | 0.0441455 | + | 0.0254874i | ||||
\(897\) | 0.684766 | − | 13.4719i | 0.0228637 | − | 0.449814i | ||||
\(898\) | −27.2869 | + | 27.2869i | −0.910576 | + | 0.910576i | ||||
\(899\) | −8.85458 | + | 3.19710i | −0.295317 | + | 0.106629i | ||||
\(900\) | 3.28273 | + | 14.6364i | 0.109424 | + | 0.487879i | ||||
\(901\) | 6.14053 | 0.204571 | ||||||||
\(902\) | −1.12553 | − | 4.20052i | −0.0374759 | − | 0.139862i | ||||
\(903\) | 1.36306 | − | 26.8166i | 0.0453600 | − | 0.892401i | ||||
\(904\) | 2.57524 | − | 1.48682i | 0.0856512 | − | 0.0494507i | ||||
\(905\) | −17.4754 | + | 46.0781i | −0.580901 | + | 1.53169i | ||||
\(906\) | −7.82534 | + | 1.67621i | −0.259980 | + | 0.0556883i | ||||
\(907\) | −1.58130 | − | 1.58130i | −0.0525064 | − | 0.0525064i | 0.680366 | − | 0.732872i | \(-0.261821\pi\) |
−0.732872 | + | 0.680366i | \(0.761821\pi\) | |||||||
\(908\) | −1.96389 | + | 7.32934i | −0.0651740 | + | 0.243233i | ||||
\(909\) | 17.6528 | − | 7.92625i | 0.585507 | − | 0.262897i | ||||
\(910\) | −18.8497 | − | 1.90455i | −0.624863 | − | 0.0631352i | ||||
\(911\) | 3.74204 | + | 2.16047i | 0.123979 | + | 0.0715795i | 0.560707 | − | 0.828014i | \(-0.310529\pi\) |
−0.436728 | + | 0.899594i | \(0.643863\pi\) | |||||||
\(912\) | −4.13237 | − | 8.07877i | −0.136836 | − | 0.267515i | ||||
\(913\) | 11.8325 | + | 44.1597i | 0.391600 | + | 1.46147i | ||||
\(914\) | 19.2331 | 0.636173 | ||||||||
\(915\) | −1.13455 | − | 10.2427i | −0.0375072 | − | 0.338613i | ||||
\(916\) | 5.66432 | − | 9.81089i | 0.187154 | − | 0.324161i | ||||
\(917\) | −11.3457 | − | 3.04008i | −0.374670 | − | 0.100392i | ||||
\(918\) | −7.94840 | + | 9.91080i | −0.262336 | + | 0.327105i | ||||
\(919\) | −9.27998 | + | 5.35780i | −0.306118 | + | 0.176737i | −0.645188 | − | 0.764024i | \(-0.723221\pi\) |
0.339070 | + | 0.940761i | \(0.389888\pi\) | |||||||
\(920\) | 2.42929 | − | 1.98344i | 0.0800914 | − | 0.0653920i | ||||
\(921\) | 44.4863 | + | 14.3771i | 1.46587 | + | 0.473741i | ||||
\(922\) | 21.7153 | + | 21.7153i | 0.715156 | + | 0.715156i | ||||
\(923\) | 21.4013 | − | 5.73446i | 0.704432 | − | 0.188752i | ||||
\(924\) | 2.60971 | + | 12.1834i | 0.0858533 | + | 0.400804i | ||||
\(925\) | 2.70737 | + | 44.7651i | 0.0890179 | + | 1.47187i | ||||
\(926\) | − | 12.8618i | − | 0.422664i | ||||||
\(927\) | 2.15006 | + | 13.3037i | 0.0706173 | + | 0.436951i | ||||
\(928\) | −1.19559 | + | 1.19559i | −0.0392472 | + | 0.0392472i | ||||
\(929\) | −32.2807 | −1.05910 | −0.529548 | − | 0.848280i | \(-0.677638\pi\) | ||||
−0.529548 | + | 0.848280i | \(0.677638\pi\) | |||||||
\(930\) | −20.4102 | − | 6.95865i | −0.669278 | − | 0.228183i | ||||
\(931\) | 24.4758 | 0.802162 | ||||||||
\(932\) | −7.65930 | + | 7.65930i | −0.250889 | + | 0.250889i | ||||
\(933\) | 27.6051 | − | 42.6551i | 0.903752 | − | 1.39646i | ||||
\(934\) | 19.8296i | 0.648843i | ||||||||
\(935\) | −2.59105 | + | 25.6442i | −0.0847365 | + | 0.838656i | ||||
\(936\) | −9.74916 | + | 13.5078i | −0.318661 | + | 0.441517i | ||||
\(937\) | 13.7568 | − | 3.68613i | 0.449416 | − | 0.120421i | −0.0270102 | − | 0.999635i | \(-0.508599\pi\) |
0.476426 | + | 0.879215i | \(0.341932\pi\) | |||||||
\(938\) | 12.0115 | + | 12.0115i | 0.392190 | + | 0.392190i | ||||
\(939\) | −13.6260 | + | 42.1624i | −0.444669 | + | 1.37592i | ||||
\(940\) | −2.17678 | + | 21.5441i | −0.0709988 | + | 0.702691i | ||||
\(941\) | −45.9141 | + | 26.5085i | −1.49676 | + | 0.864153i | −0.999993 | − | 0.00373322i | \(-0.998812\pi\) |
−0.496763 | + | 0.867886i | \(0.665478\pi\) | |||||||
\(942\) | −3.38666 | − | 2.19175i | −0.110343 | − | 0.0714111i | ||||
\(943\) | 1.24962 | + | 0.334834i | 0.0406931 | + | 0.0109037i | ||||
\(944\) | −1.38344 | + | 2.39619i | −0.0450271 | + | 0.0779892i | ||||
\(945\) | 12.4260 | − | 12.6452i | 0.404216 | − | 0.411350i | ||||
\(946\) | −47.8997 | −1.55735 | ||||||||
\(947\) | 11.6952 | + | 43.6470i | 0.380042 | + | 1.41834i | 0.845836 | + | 0.533443i | \(0.179102\pi\) |
−0.465794 | + | 0.884893i | \(0.654231\pi\) | |||||||
\(948\) | −4.26457 | + | 2.18137i | −0.138507 | + | 0.0708477i | ||||
\(949\) | 74.5759 | + | 43.0564i | 2.42084 | + | 1.39767i | ||||
\(950\) | 1.58139 | + | 26.1475i | 0.0513070 | + | 0.848336i | ||||
\(951\) | 12.7053 | − | 39.3135i | 0.411999 | − | 1.27483i | ||||
\(952\) | 0.965556 | − | 3.60350i | 0.0312938 | − | 0.116790i | ||||
\(953\) | 34.7890 | + | 34.7890i | 1.12693 | + | 1.12693i | 0.990674 | + | 0.136252i | \(0.0435057\pi\) |
0.136252 | + | 0.990674i | \(0.456494\pi\) | |||||||
\(954\) | −4.40947 | + | 6.10947i | −0.142762 | + | 0.197801i | ||||
\(955\) | −40.6606 | − | 15.4207i | −1.31574 | − | 0.499003i | ||||
\(956\) | 8.92596 | − | 5.15341i | 0.288686 | − | 0.166673i | ||||
\(957\) | −13.7891 | − | 0.700889i | −0.445739 | − | 0.0226565i | ||||
\(958\) | −8.69147 | − | 32.4370i | −0.280809 | − | 1.04799i | ||||
\(959\) | 28.9052 | 0.933397 | ||||||||
\(960\) | −3.84944 | + | 0.426391i | −0.124240 | + | 0.0137617i | ||||
\(961\) | 23.8493 | − | 19.8043i | 0.769332 | − | 0.638849i | ||||
\(962\) | −35.2179 | + | 35.2179i | −1.13547 | + | 1.13547i | ||||
\(963\) | −39.5096 | + | 32.2008i | −1.27318 | + | 1.03766i | ||||
\(964\) | 8.76567 | + | 5.06086i | 0.282323 | + | 0.162999i | ||||
\(965\) | 27.8899 | − | 38.7138i | 0.897809 | − | 1.24624i | ||||
\(966\) | −3.52705 | − | 1.13987i | −0.113481 | − | 0.0366748i | ||||
\(967\) | 3.90972 | − | 1.04761i | 0.125728 | − | 0.0336888i | −0.195406 | − | 0.980722i | \(-0.562603\pi\) |
0.321134 | + | 0.947034i | \(0.395936\pi\) | |||||||
\(968\) | 10.8443 | − | 2.90572i | 0.348549 | − | 0.0933934i | ||||
\(969\) | −16.4642 | + | 14.8715i | −0.528907 | + | 0.477740i | ||||
\(970\) | 3.58674 | + | 4.39301i | 0.115163 | + | 0.141051i | ||||
\(971\) | 24.6046 | − | 14.2055i | 0.789598 | − | 0.455875i | −0.0502230 | − | 0.998738i | \(-0.515993\pi\) |
0.839821 | + | 0.542863i | \(0.182660\pi\) | |||||||
\(972\) | −4.15300 | − | 15.0251i | −0.133208 | − | 0.481929i | ||||
\(973\) | −3.11586 | − | 11.6286i | −0.0998899 | − | 0.372794i | ||||
\(974\) | −9.17083 | − | 15.8843i | −0.293852 | − | 0.508967i | ||||
\(975\) | 41.4131 | − | 24.4441i | 1.32628 | − | 0.782837i | ||||
\(976\) | 2.66083 | 0.0851711 | ||||||||
\(977\) | −2.15467 | + | 2.15467i | −0.0689340 | + | 0.0689340i | −0.740733 | − | 0.671799i | \(-0.765522\pi\) |
0.671799 | + | 0.740733i | \(0.265522\pi\) | |||||||
\(978\) | −0.197353 | + | 0.304948i | −0.00631067 | + | 0.00975116i | ||||
\(979\) | −36.9964 | + | 21.3599i | −1.18241 | + | 0.682665i | ||||
\(980\) | 3.70441 | − | 9.76760i | 0.118333 | − | 0.312015i | ||||
\(981\) | −20.3676 | + | 9.14520i | −0.650288 | + | 0.291984i | ||||
\(982\) | 10.5419 | − | 39.3429i | 0.336405 | − | 1.25548i | ||||
\(983\) | −11.5380 | + | 43.0603i | −0.368004 | + | 1.37341i | 0.495298 | + | 0.868723i | \(0.335059\pi\) |
−0.863302 | + | 0.504687i | \(0.831608\pi\) | |||||||
\(984\) | −1.07090 | − | 1.18560i | −0.0341391 | − | 0.0377955i | ||||
\(985\) | −7.60333 | − | 16.8941i | −0.242262 | − | 0.538292i | ||||
\(986\) | 3.58013 | + | 2.06699i | 0.114015 | + | 0.0658264i | ||||
\(987\) | 22.7851 | − | 11.6548i | 0.725258 | − | 0.370977i | ||||
\(988\) | −20.5709 | + | 20.5709i | −0.654448 | + | 0.654448i | ||||
\(989\) | 7.12487 | − | 12.3406i | 0.226558 | − | 0.392409i | ||||
\(990\) | −23.6539 | − | 20.9929i | −0.751771 | − | 0.667197i | ||||
\(991\) | −32.9770 | −1.04755 | −0.523774 | − | 0.851857i | \(-0.675477\pi\) | ||||
−0.523774 | + | 0.851857i | \(0.675477\pi\) | |||||||
\(992\) | 2.36598 | − | 5.04006i | 0.0751198 | − | 0.160022i | ||||
\(993\) | −0.557672 | + | 10.9715i | −0.0176972 | + | 0.348170i | ||||
\(994\) | − | 6.08822i | − | 0.193106i | ||||||
\(995\) | 19.4327 | + | 7.36996i | 0.616059 | + | 0.233643i | ||||
\(996\) | 11.2583 | + | 12.4641i | 0.356733 | + | 0.394940i | ||||
\(997\) | 7.44463 | − | 27.7837i | 0.235774 | − | 0.879920i | −0.742025 | − | 0.670373i | \(-0.766134\pi\) |
0.977798 | − | 0.209547i | \(-0.0671990\pi\) | |||||||
\(998\) | 5.89712 | − | 1.58013i | 0.186670 | − | 0.0500181i | ||||
\(999\) | −5.09056 | − | 46.3274i | −0.161058 | − | 1.46574i |
(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 | 930.2.bf.a.377.6 | ✓ | 256 | |
3.2 | odd | 2 | inner | 930.2.bf.a.377.53 | yes | 256 | |
5.3 | odd | 4 | inner | 930.2.bf.a.563.54 | yes | 256 | |
15.8 | even | 4 | inner | 930.2.bf.a.563.27 | yes | 256 | |
31.25 | even | 3 | inner | 930.2.bf.a.707.27 | yes | 256 | |
93.56 | odd | 6 | inner | 930.2.bf.a.707.54 | yes | 256 | |
155.118 | odd | 12 | inner | 930.2.bf.a.893.53 | yes | 256 | |
465.428 | even | 12 | inner | 930.2.bf.a.893.6 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bf.a.377.6 | ✓ | 256 | 1.1 | even | 1 | trivial | |
930.2.bf.a.377.53 | yes | 256 | 3.2 | odd | 2 | inner | |
930.2.bf.a.563.27 | yes | 256 | 15.8 | even | 4 | inner | |
930.2.bf.a.563.54 | yes | 256 | 5.3 | odd | 4 | inner | |
930.2.bf.a.707.27 | yes | 256 | 31.25 | even | 3 | inner | |
930.2.bf.a.707.54 | yes | 256 | 93.56 | odd | 6 | inner | |
930.2.bf.a.893.6 | yes | 256 | 465.428 | even | 12 | inner | |
930.2.bf.a.893.53 | yes | 256 | 155.118 | odd | 12 | inner |