Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.80 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.80 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05146 | − | 1.70130i | 0.525732 | − | 0.850650i | ||||
\(3\) | −1.93225 | + | 2.29487i | −0.644084 | + | 0.764955i | ||||
\(4\) | −1.78885 | − | 3.57771i | −0.447212 | − | 0.894428i | ||||
\(5\) | −0.00768228 | + | 4.99999i | −0.00153646 | + | 0.999999i | ||||
\(6\) | 1.87256 | + | 5.70031i | 0.312094 | + | 0.950051i | ||||
\(7\) | 2.87640 | − | 2.87640i | 0.410915 | − | 0.410915i | −0.471142 | − | 0.882057i | \(-0.656158\pi\) |
0.882057 | + | 0.471142i | \(0.156158\pi\) | |||||||
\(8\) | −7.96767 | − | 0.718472i | −0.995959 | − | 0.0898090i | ||||
\(9\) | −1.53281 | − | 8.86851i | −0.170312 | − | 0.985390i | ||||
\(10\) | 8.49841 | + | 5.27038i | 0.849841 | + | 0.527038i | ||||
\(11\) | −6.98304 | − | 5.07348i | −0.634822 | − | 0.461225i | 0.223245 | − | 0.974762i | \(-0.428335\pi\) |
−0.858067 | + | 0.513537i | \(0.828335\pi\) | |||||||
\(12\) | 11.6669 | + | 2.80788i | 0.972239 | + | 0.233990i | ||||
\(13\) | −3.42859 | + | 21.6473i | −0.263738 | + | 1.66517i | 0.399476 | + | 0.916744i | \(0.369192\pi\) |
−0.663213 | + | 0.748430i | \(0.730808\pi\) | |||||||
\(14\) | −1.86919 | − | 7.91806i | −0.133514 | − | 0.565576i | ||||
\(15\) | −11.4595 | − | 9.67887i | −0.763965 | − | 0.645258i | ||||
\(16\) | −9.60006 | + | 12.8000i | −0.600004 | + | 0.799997i | ||||
\(17\) | 2.01426 | + | 3.95321i | 0.118486 | + | 0.232542i | 0.942631 | − | 0.333838i | \(-0.108344\pi\) |
−0.824145 | + | 0.566379i | \(0.808344\pi\) | |||||||
\(18\) | −16.6997 | − | 6.71715i | −0.927761 | − | 0.373175i | ||||
\(19\) | −10.4818 | + | 32.2595i | −0.551671 | + | 1.69787i | 0.152905 | + | 0.988241i | \(0.451137\pi\) |
−0.704576 | + | 0.709628i | \(0.748863\pi\) | |||||||
\(20\) | 17.9023 | − | 8.91674i | 0.895114 | − | 0.445837i | ||||
\(21\) | 1.04302 | + | 12.1589i | 0.0496678 | + | 0.578995i | ||||
\(22\) | −15.9739 | + | 6.54567i | −0.726087 | + | 0.297531i | ||||
\(23\) | −40.8142 | + | 6.46433i | −1.77453 | + | 0.281058i | −0.955991 | − | 0.293395i | \(-0.905215\pi\) |
−0.818538 | + | 0.574452i | \(0.805215\pi\) | |||||||
\(24\) | 17.0443 | − | 16.8965i | 0.710181 | − | 0.704019i | ||||
\(25\) | −24.9999 | − | 0.0768227i | −0.999995 | − | 0.00307291i | ||||
\(26\) | 33.2235 | + | 28.5944i | 1.27783 | + | 1.09978i | ||||
\(27\) | 23.3138 | + | 13.6186i | 0.863475 | + | 0.504392i | ||||
\(28\) | −15.4364 | − | 5.14550i | −0.551300 | − | 0.183768i | ||||
\(29\) | −5.79230 | − | 17.8269i | −0.199735 | − | 0.614720i | −0.999889 | − | 0.0149252i | \(-0.995249\pi\) |
0.800154 | − | 0.599795i | \(-0.204751\pi\) | |||||||
\(30\) | −28.5159 | + | 9.31901i | −0.950530 | + | 0.310634i | ||||
\(31\) | −3.56082 | − | 1.15698i | −0.114865 | − | 0.0373220i | 0.251020 | − | 0.967982i | \(-0.419234\pi\) |
−0.365886 | + | 0.930660i | \(0.619234\pi\) | |||||||
\(32\) | 11.6825 | + | 29.7913i | 0.365077 | + | 0.930977i | ||||
\(33\) | 25.1359 | − | 6.22191i | 0.761695 | − | 0.188543i | ||||
\(34\) | 8.84352 | + | 0.729795i | 0.260104 | + | 0.0214646i | ||||
\(35\) | 14.3599 | + | 14.4041i | 0.410283 | + | 0.411546i | ||||
\(36\) | −28.9870 | + | 21.3484i | −0.805195 | + | 0.593010i | ||||
\(37\) | 36.3023 | + | 5.74973i | 0.981144 | + | 0.155398i | 0.626346 | − | 0.779545i | \(-0.284550\pi\) |
0.354798 | + | 0.934943i | \(0.384550\pi\) | |||||||
\(38\) | 43.8619 | + | 51.7523i | 1.15426 | + | 1.36190i | ||||
\(39\) | −43.0527 | − | 49.6961i | −1.10391 | − | 1.27426i | ||||
\(40\) | 3.65356 | − | 39.8328i | 0.0913391 | − | 0.995820i | ||||
\(41\) | −4.48946 | − | 6.17921i | −0.109499 | − | 0.150712i | 0.750750 | − | 0.660586i | \(-0.229692\pi\) |
−0.860249 | + | 0.509874i | \(0.829692\pi\) | |||||||
\(42\) | 21.7826 | + | 11.0101i | 0.518634 | + | 0.262146i | ||||
\(43\) | 7.64542 | + | 7.64542i | 0.177800 | + | 0.177800i | 0.790396 | − | 0.612596i | \(-0.209875\pi\) |
−0.612596 | + | 0.790396i | \(0.709875\pi\) | |||||||
\(44\) | −5.65985 | + | 34.0590i | −0.128633 | + | 0.774068i | ||||
\(45\) | 44.3543 | − | 7.59592i | 0.985651 | − | 0.168798i | ||||
\(46\) | −31.9169 | + | 76.2342i | −0.693845 | + | 1.65726i | ||||
\(47\) | 4.87073 | − | 9.55936i | 0.103633 | − | 0.203391i | −0.833368 | − | 0.552719i | \(-0.813590\pi\) |
0.937000 | + | 0.349328i | \(0.113590\pi\) | |||||||
\(48\) | −10.8245 | − | 46.7636i | −0.225509 | − | 0.974241i | ||||
\(49\) | 32.4526i | 0.662298i | ||||||||
\(50\) | −26.4172 | + | 42.4515i | −0.528344 | + | 0.849031i | ||||
\(51\) | −12.9641 | − | 3.01614i | −0.254199 | − | 0.0591400i | ||||
\(52\) | 83.5809 | − | 26.4571i | 1.60733 | − | 0.508791i | ||||
\(53\) | 31.5984 | − | 62.0153i | 0.596196 | − | 1.17010i | −0.373921 | − | 0.927461i | \(-0.621987\pi\) |
0.970117 | − | 0.242640i | \(-0.0780132\pi\) | |||||||
\(54\) | 47.6830 | − | 25.3443i | 0.883018 | − | 0.469340i | ||||
\(55\) | 25.4210 | − | 34.8762i | 0.462200 | − | 0.634112i | ||||
\(56\) | −24.9849 | + | 20.8516i | −0.446158 | + | 0.372350i | ||||
\(57\) | −53.7779 | − | 86.3877i | −0.943471 | − | 1.51557i | ||||
\(58\) | −36.4193 | − | 8.88987i | −0.627918 | − | 0.153274i | ||||
\(59\) | −15.2963 | − | 21.0536i | −0.259260 | − | 0.356841i | 0.659467 | − | 0.751733i | \(-0.270782\pi\) |
−0.918727 | + | 0.394892i | \(0.870782\pi\) | |||||||
\(60\) | −14.1290 | + | 58.3127i | −0.235483 | + | 0.971878i | ||||
\(61\) | −50.7904 | − | 36.9014i | −0.832630 | − | 0.604941i | 0.0876720 | − | 0.996149i | \(-0.472057\pi\) |
−0.920302 | + | 0.391208i | \(0.872057\pi\) | |||||||
\(62\) | −5.71245 | + | 4.84150i | −0.0921362 | + | 0.0780887i | ||||
\(63\) | −29.9184 | − | 21.1004i | −0.474895 | − | 0.334927i | ||||
\(64\) | 62.9676 | + | 11.4491i | 0.983869 | + | 0.178892i | ||||
\(65\) | −108.210 | − | 17.3092i | −1.66477 | − | 0.266296i | ||||
\(66\) | 15.8442 | − | 49.3059i | 0.240064 | − | 0.747059i | ||||
\(67\) | 16.7981 | + | 32.9681i | 0.250717 | + | 0.492061i | 0.981724 | − | 0.190310i | \(-0.0609492\pi\) |
−0.731007 | + | 0.682370i | \(0.760949\pi\) | |||||||
\(68\) | 10.5402 | − | 14.2781i | 0.155004 | − | 0.209973i | ||||
\(69\) | 64.0285 | − | 106.154i | 0.927949 | − | 1.53846i | ||||
\(70\) | 39.6046 | − | 9.28512i | 0.565780 | − | 0.132645i | ||||
\(71\) | −19.6778 | − | 60.5620i | −0.277152 | − | 0.852986i | −0.988642 | − | 0.150290i | \(-0.951979\pi\) |
0.711490 | − | 0.702696i | \(-0.248021\pi\) | |||||||
\(72\) | 5.84117 | + | 71.7627i | 0.0811273 | + | 0.996704i | ||||
\(73\) | 0.445620 | − | 0.0705793i | 0.00610438 | − | 0.000966839i | −0.153382 | − | 0.988167i | \(-0.549016\pi\) |
0.159486 | + | 0.987200i | \(0.449016\pi\) | |||||||
\(74\) | 47.9526 | − | 55.7156i | 0.648008 | − | 0.752913i | ||||
\(75\) | 48.4823 | − | 57.2229i | 0.646431 | − | 0.762972i | ||||
\(76\) | 134.166 | − | 20.2066i | 1.76534 | − | 0.265877i | ||||
\(77\) | −34.6794 | + | 5.49268i | −0.450382 | + | 0.0713335i | ||||
\(78\) | −129.816 | + | 20.9918i | −1.66431 | + | 0.269126i | ||||
\(79\) | 36.7789 | + | 113.194i | 0.465556 | + | 1.43283i | 0.858282 | + | 0.513179i | \(0.171532\pi\) |
−0.392726 | + | 0.919656i | \(0.628468\pi\) | |||||||
\(80\) | −63.9260 | − | 48.0986i | −0.799074 | − | 0.601232i | ||||
\(81\) | −76.3010 | + | 27.1875i | −0.941987 | + | 0.335648i | ||||
\(82\) | −15.2332 | + | 1.14070i | −0.185771 | + | 0.0139110i | ||||
\(83\) | 40.8773 | + | 80.2262i | 0.492498 | + | 0.966581i | 0.994796 | + | 0.101887i | \(0.0324880\pi\) |
−0.502298 | + | 0.864694i | \(0.667512\pi\) | |||||||
\(84\) | 41.6352 | − | 25.4820i | 0.495657 | − | 0.303357i | ||||
\(85\) | −19.7815 | + | 10.0409i | −0.232724 | + | 0.118129i | ||||
\(86\) | 21.0460 | − | 4.96827i | 0.244721 | − | 0.0577706i | ||||
\(87\) | 52.1024 | + | 21.1534i | 0.598879 | + | 0.243143i | ||||
\(88\) | 51.9934 | + | 45.4409i | 0.590834 | + | 0.516374i | ||||
\(89\) | 34.5511 | + | 25.1028i | 0.388214 | + | 0.282054i | 0.764723 | − | 0.644359i | \(-0.222876\pi\) |
−0.376509 | + | 0.926413i | \(0.622876\pi\) | |||||||
\(90\) | 33.7140 | − | 83.4468i | 0.374600 | − | 0.927187i | ||||
\(91\) | 52.4042 | + | 72.1283i | 0.575871 | + | 0.792618i | ||||
\(92\) | 96.1378 | + | 134.458i | 1.04498 | + | 1.46150i | ||||
\(93\) | 9.53551 | − | 5.93602i | 0.102532 | − | 0.0638282i | ||||
\(94\) | −11.1419 | − | 18.3379i | −0.118531 | − | 0.195084i | ||||
\(95\) | −161.217 | − | 52.6565i | −1.69702 | − | 0.554279i | ||||
\(96\) | −90.9404 | − | 30.7546i | −0.947296 | − | 0.320360i | ||||
\(97\) | 74.4219 | − | 146.061i | 0.767236 | − | 1.50579i | −0.0928749 | − | 0.995678i | \(-0.529606\pi\) |
0.860111 | − | 0.510107i | \(-0.170394\pi\) | |||||||
\(98\) | 55.2116 | + | 34.1228i | 0.563384 | + | 0.348191i | ||||
\(99\) | −34.2905 | + | 69.7059i | −0.346369 | + | 0.704100i | ||||
\(100\) | 44.4461 | + | 89.5798i | 0.444461 | + | 0.895798i | ||||
\(101\) | 170.534i | 1.68846i | 0.535984 | + | 0.844228i | \(0.319941\pi\) | ||||
−0.535984 | + | 0.844228i | \(0.680059\pi\) | |||||||
\(102\) | −18.7627 | + | 18.8845i | −0.183948 | + | 0.185143i | ||||
\(103\) | −12.2606 | + | 24.0627i | −0.119035 | + | 0.233619i | −0.942834 | − | 0.333263i | \(-0.891850\pi\) |
0.823799 | + | 0.566882i | \(0.191850\pi\) | |||||||
\(104\) | 42.8708 | − | 170.015i | 0.412219 | − | 1.63476i | ||||
\(105\) | −60.8024 | + | 5.12171i | −0.579070 | + | 0.0487782i | ||||
\(106\) | −72.2821 | − | 118.965i | −0.681907 | − | 1.12231i | ||||
\(107\) | −118.043 | − | 118.043i | −1.10321 | − | 1.10321i | −0.994021 | − | 0.109188i | \(-0.965175\pi\) |
−0.109188 | − | 0.994021i | \(-0.534825\pi\) | |||||||
\(108\) | 7.01859 | − | 107.772i | 0.0649869 | − | 0.997886i | ||||
\(109\) | −48.2422 | − | 66.3998i | −0.442589 | − | 0.609172i | 0.528196 | − | 0.849123i | \(-0.322869\pi\) |
−0.970785 | + | 0.239951i | \(0.922869\pi\) | |||||||
\(110\) | −32.6056 | − | 79.9198i | −0.296415 | − | 0.726544i | ||||
\(111\) | −83.3401 | + | 72.1991i | −0.750812 | + | 0.650442i | ||||
\(112\) | 9.20420 | + | 64.4315i | 0.0821804 | + | 0.575281i | ||||
\(113\) | 141.427 | + | 22.3998i | 1.25157 | + | 0.198228i | 0.746812 | − | 0.665035i | \(-0.231583\pi\) |
0.504753 | + | 0.863264i | \(0.331583\pi\) | |||||||
\(114\) | −203.517 | + | 0.658739i | −1.78524 | + | 0.00577841i | ||||
\(115\) | −32.0081 | − | 204.120i | −0.278331 | − | 1.77496i | ||||
\(116\) | −53.4179 | + | 52.6127i | −0.460499 | + | 0.453558i | ||||
\(117\) | 197.234 | − | 2.77469i | 1.68576 | − | 0.0237153i | ||||
\(118\) | −51.9021 | + | 3.88656i | −0.439848 | + | 0.0329370i | ||||
\(119\) | 17.1649 | + | 5.57720i | 0.144242 | + | 0.0468672i | ||||
\(120\) | 84.3513 | + | 85.3514i | 0.702927 | + | 0.711262i | ||||
\(121\) | −14.3684 | − | 44.2213i | −0.118747 | − | 0.365465i | ||||
\(122\) | −116.185 | + | 47.6093i | −0.952334 | + | 0.390240i | ||||
\(123\) | 22.8552 | + | 1.63708i | 0.185815 | + | 0.0133096i | ||||
\(124\) | 2.23042 | + | 14.8093i | 0.0179872 | + | 0.119429i | ||||
\(125\) | 0.576169 | − | 124.999i | 0.00460935 | − | 0.999989i | ||||
\(126\) | −67.3563 | + | 28.7138i | −0.534574 | + | 0.227888i | ||||
\(127\) | 46.4076 | − | 7.35024i | 0.365414 | − | 0.0578759i | 0.0289725 | − | 0.999580i | \(-0.490776\pi\) |
0.336442 | + | 0.941704i | \(0.390776\pi\) | |||||||
\(128\) | 85.6865 | − | 95.0885i | 0.669426 | − | 0.742879i | ||||
\(129\) | −32.3181 | + | 2.77234i | −0.250528 | + | 0.0214910i | ||||
\(130\) | −143.227 | + | 165.897i | −1.10175 | + | 1.27613i | ||||
\(131\) | −29.0775 | + | 89.4914i | −0.221966 | + | 0.683141i | 0.776620 | + | 0.629970i | \(0.216933\pi\) |
−0.998585 | + | 0.0531707i | \(0.983067\pi\) | |||||||
\(132\) | −67.2245 | − | 78.7991i | −0.509277 | − | 0.596963i | ||||
\(133\) | 62.6416 | + | 122.941i | 0.470990 | + | 0.924369i | ||||
\(134\) | 73.7511 | + | 6.08618i | 0.550382 | + | 0.0454192i | ||||
\(135\) | −68.2720 | + | 116.464i | −0.505718 | + | 0.862699i | ||||
\(136\) | −13.2087 | − | 32.9451i | −0.0971228 | − | 0.242243i | ||||
\(137\) | −9.45658 | + | 59.7065i | −0.0690261 | + | 0.435814i | 0.928838 | + | 0.370487i | \(0.120809\pi\) |
−0.997864 | + | 0.0653270i | \(0.979191\pi\) | |||||||
\(138\) | −113.276 | − | 220.549i | −0.820839 | − | 1.59818i | ||||
\(139\) | −33.6261 | − | 24.4308i | −0.241915 | − | 0.175761i | 0.460221 | − | 0.887804i | \(-0.347770\pi\) |
−0.702136 | + | 0.712043i | \(0.747770\pi\) | |||||||
\(140\) | 25.8461 | − | 77.1423i | 0.184615 | − | 0.551017i | ||||
\(141\) | 12.5259 | + | 29.6488i | 0.0888365 | + | 0.210275i | ||||
\(142\) | −123.725 | − | 30.2009i | −0.871300 | − | 0.212683i | ||||
\(143\) | 133.769 | − | 133.769i | 0.935446 | − | 0.935446i | ||||
\(144\) | 128.232 | + | 65.5183i | 0.890497 | + | 0.454988i | ||||
\(145\) | 89.1787 | − | 28.8245i | 0.615026 | − | 0.198790i | ||||
\(146\) | 0.348477 | − | 0.832345i | 0.00238683 | − | 0.00570099i | ||||
\(147\) | −74.4744 | − | 62.7066i | −0.506628 | − | 0.426575i | ||||
\(148\) | −44.3684 | − | 140.165i | −0.299787 | − | 0.947059i | ||||
\(149\) | −210.457 | −1.41246 | −0.706232 | − | 0.707980i | \(-0.749607\pi\) | ||||
−0.706232 | + | 0.707980i | \(0.749607\pi\) | |||||||
\(150\) | −46.3759 | − | 142.651i | −0.309173 | − | 0.951006i | ||||
\(151\) | − | 38.0288i | − | 0.251846i | −0.992040 | − | 0.125923i | \(-0.959811\pi\) | ||
0.992040 | − | 0.125923i | \(-0.0401892\pi\) | |||||||
\(152\) | 106.693 | − | 249.502i | 0.701926 | − | 1.64146i | ||||
\(153\) | 31.9716 | − | 23.9230i | 0.208965 | − | 0.156360i | ||||
\(154\) | −27.1195 | + | 64.7754i | −0.176100 | + | 0.420620i | ||||
\(155\) | 5.81225 | − | 17.7952i | 0.0374984 | − | 0.114808i | ||||
\(156\) | −100.784 | + | 242.929i | −0.646050 | + | 1.55724i | ||||
\(157\) | 129.477 | + | 129.477i | 0.824694 | + | 0.824694i | 0.986777 | − | 0.162083i | \(-0.0518213\pi\) |
−0.162083 | + | 0.986777i | \(0.551821\pi\) | |||||||
\(158\) | 231.249 | + | 56.4473i | 1.46360 | + | 0.357262i | ||||
\(159\) | 81.2608 | + | 192.343i | 0.511074 | + | 1.20971i | ||||
\(160\) | −149.046 | + | 58.1833i | −0.931537 | + | 0.363646i | ||||
\(161\) | −98.8040 | + | 135.992i | −0.613689 | + | 0.844671i | ||||
\(162\) | −33.9736 | + | 158.398i | −0.209714 | + | 0.977763i | ||||
\(163\) | 228.957 | + | 36.2632i | 1.40464 | + | 0.222473i | 0.812312 | − | 0.583223i | \(-0.198209\pi\) |
0.592329 | + | 0.805696i | \(0.298209\pi\) | |||||||
\(164\) | −14.0765 | + | 27.1157i | −0.0858323 | + | 0.165339i | ||||
\(165\) | 30.9164 | + | 125.727i | 0.187372 | + | 0.761984i | ||||
\(166\) | 179.470 | + | 14.8104i | 1.08114 | + | 0.0892195i | ||||
\(167\) | −113.519 | + | 57.8409i | −0.679756 | + | 0.346353i | −0.759541 | − | 0.650459i | \(-0.774577\pi\) |
0.0797853 | + | 0.996812i | \(0.474577\pi\) | |||||||
\(168\) | 0.425343 | − | 97.6274i | 0.00253180 | − | 0.581116i | ||||
\(169\) | −296.120 | − | 96.2153i | −1.75219 | − | 0.569321i | ||||
\(170\) | −3.71691 | + | 44.2120i | −0.0218642 | + | 0.260070i | ||||
\(171\) | 302.160 | + | 43.5098i | 1.76702 | + | 0.254443i | ||||
\(172\) | 13.6766 | − | 41.0296i | 0.0795153 | − | 0.238544i | ||||
\(173\) | 10.0380 | + | 63.3773i | 0.0580230 | + | 0.366342i | 0.999566 | + | 0.0294505i | \(0.00937573\pi\) |
−0.941543 | + | 0.336892i | \(0.890624\pi\) | |||||||
\(174\) | 90.7722 | − | 66.3998i | 0.521679 | − | 0.381608i | ||||
\(175\) | −72.1307 | + | 71.6888i | −0.412175 | + | 0.409650i | ||||
\(176\) | 131.978 | − | 40.6770i | 0.749874 | − | 0.231119i | ||||
\(177\) | 77.8716 | + | 5.57782i | 0.439953 | + | 0.0315131i | ||||
\(178\) | 79.0367 | − | 32.3870i | 0.444026 | − | 0.181950i | ||||
\(179\) | 36.4019 | − | 11.8277i | 0.203363 | − | 0.0660765i | −0.205565 | − | 0.978644i | \(-0.565903\pi\) |
0.408927 | + | 0.912567i | \(0.365903\pi\) | |||||||
\(180\) | −106.519 | − | 145.099i | −0.591772 | − | 0.806105i | ||||
\(181\) | −82.5369 | + | 254.023i | −0.456005 | + | 1.40344i | 0.413946 | + | 0.910301i | \(0.364150\pi\) |
−0.869951 | + | 0.493138i | \(0.835850\pi\) | |||||||
\(182\) | 177.813 | − | 13.3151i | 0.976995 | − | 0.0731598i | ||||
\(183\) | 182.824 | − | 45.2544i | 0.999036 | − | 0.247292i | ||||
\(184\) | 329.838 | − | 22.1818i | 1.79260 | − | 0.120553i | ||||
\(185\) | −29.0275 | + | 181.467i | −0.156905 | + | 0.980904i | ||||
\(186\) | −0.0727119 | − | 22.4643i | −0.000390924 | − | 0.120776i | ||||
\(187\) | 5.99085 | − | 37.8247i | 0.0320366 | − | 0.202271i | ||||
\(188\) | −42.9136 | − | 0.325873i | −0.228264 | − | 0.00173336i | ||||
\(189\) | 106.232 | − | 27.8874i | 0.562077 | − | 0.147552i | ||||
\(190\) | −259.098 | + | 218.912i | −1.36368 | + | 1.15217i | ||||
\(191\) | 260.720 | − | 189.424i | 1.36503 | − | 0.991751i | 0.366921 | − | 0.930252i | \(-0.380412\pi\) |
0.998107 | − | 0.0614984i | \(-0.0195879\pi\) | |||||||
\(192\) | −147.943 | + | 122.380i | −0.770538 | + | 0.637394i | ||||
\(193\) | −13.4098 | + | 13.4098i | −0.0694810 | + | 0.0694810i | −0.740993 | − | 0.671512i | \(-0.765645\pi\) |
0.671512 | + | 0.740993i | \(0.265645\pi\) | |||||||
\(194\) | −170.242 | − | 280.192i | −0.877536 | − | 1.44429i | ||||
\(195\) | 248.811 | − | 214.881i | 1.27595 | − | 1.10196i | ||||
\(196\) | 116.106 | − | 58.0527i | 0.592378 | − | 0.296187i | ||||
\(197\) | 172.386 | + | 87.8353i | 0.875058 | + | 0.445864i | 0.833014 | − | 0.553252i | \(-0.186613\pi\) |
0.0420436 | + | 0.999116i | \(0.486613\pi\) | |||||||
\(198\) | 82.5354 | + | 131.632i | 0.416845 | + | 0.664806i | ||||
\(199\) | −192.787 | −0.968778 | −0.484389 | − | 0.874853i | \(-0.660958\pi\) | ||||
−0.484389 | + | 0.874853i | \(0.660958\pi\) | |||||||
\(200\) | 199.136 | + | 18.5738i | 0.995678 | + | 0.0928690i | ||||
\(201\) | −108.115 | − | 25.1533i | −0.537887 | − | 0.125141i | ||||
\(202\) | 290.130 | + | 179.310i | 1.43629 | + | 0.887675i | ||||
\(203\) | −67.9383 | − | 34.6163i | −0.334671 | − | 0.170524i | ||||
\(204\) | 12.4000 | + | 51.7774i | 0.0607843 | + | 0.253811i | ||||
\(205\) | 30.9305 | − | 22.3998i | 0.150881 | − | 0.109267i | ||||
\(206\) | 28.0464 | + | 46.1600i | 0.136147 | + | 0.224078i | ||||
\(207\) | 119.889 | + | 352.052i | 0.579176 | + | 1.70074i | ||||
\(208\) | −244.169 | − | 251.701i | −1.17389 | − | 1.21010i | ||||
\(209\) | 236.862 | − | 172.091i | 1.13331 | − | 0.823400i | ||||
\(210\) | −55.2180 | + | 108.828i | −0.262943 | + | 0.518231i | ||||
\(211\) | −17.5189 | + | 24.1127i | −0.0830278 | + | 0.114278i | −0.848511 | − | 0.529178i | \(-0.822500\pi\) |
0.765483 | + | 0.643456i | \(0.222500\pi\) | |||||||
\(212\) | −278.398 | − | 2.11406i | −1.31320 | − | 0.00997200i | ||||
\(213\) | 177.004 | + | 71.8631i | 0.831005 | + | 0.337386i | ||||
\(214\) | −324.946 | + | 76.7089i | −1.51844 | + | 0.358453i | ||||
\(215\) | −38.2858 | + | 38.1683i | −0.178073 | + | 0.177527i | ||||
\(216\) | −175.972 | − | 125.259i | −0.814686 | − | 0.579902i | ||||
\(217\) | −13.5703 | + | 6.91441i | −0.0625359 | + | 0.0318636i | ||||
\(218\) | −163.691 | + | 12.2576i | −0.750876 | + | 0.0562275i | ||||
\(219\) | −0.699080 | + | 1.15901i | −0.00319214 | + | 0.00529230i | ||||
\(220\) | −170.251 | − | 28.5609i | −0.773869 | − | 0.129822i | ||||
\(221\) | −92.4823 | + | 30.0493i | −0.418472 | + | 0.135970i | ||||
\(222\) | 35.2032 | + | 217.701i | 0.158573 | + | 0.980636i | ||||
\(223\) | 10.9852 | + | 69.3575i | 0.0492608 | + | 0.311020i | 0.999999 | + | 0.00102690i | \(0.000326872\pi\) |
−0.950739 | + | 0.309993i | \(0.899673\pi\) | |||||||
\(224\) | 119.295 | + | 52.0883i | 0.532568 | + | 0.232537i | ||||
\(225\) | 37.6388 | + | 221.829i | 0.167284 | + | 0.985909i | ||||
\(226\) | 186.814 | − | 217.057i | 0.826611 | − | 0.960429i | ||||
\(227\) | 9.24691 | + | 58.3827i | 0.0407353 | + | 0.257192i | 0.999649 | − | 0.0265067i | \(-0.00843832\pi\) |
−0.958913 | + | 0.283699i | \(0.908438\pi\) | |||||||
\(228\) | −212.870 | + | 346.936i | −0.933640 | + | 1.52165i | ||||
\(229\) | −165.782 | + | 53.8657i | −0.723938 | + | 0.235222i | −0.647730 | − | 0.761870i | \(-0.724281\pi\) |
−0.0762080 | + | 0.997092i | \(0.524281\pi\) | |||||||
\(230\) | −380.925 | − | 160.170i | −1.65620 | − | 0.696391i | ||||
\(231\) | 54.4044 | − | 90.1978i | 0.235517 | − | 0.390467i | ||||
\(232\) | 33.3431 | + | 146.200i | 0.143720 | + | 0.630174i | ||||
\(233\) | −22.8329 | + | 11.6340i | −0.0979955 | + | 0.0499312i | −0.502301 | − | 0.864693i | \(-0.667513\pi\) |
0.404306 | + | 0.914624i | \(0.367513\pi\) | |||||||
\(234\) | 202.664 | − | 338.472i | 0.866087 | − | 1.44646i | ||||
\(235\) | 47.7593 | + | 24.4271i | 0.203231 | + | 0.103945i | ||||
\(236\) | −47.9610 | + | 92.3876i | −0.203224 | + | 0.391473i | ||||
\(237\) | −330.831 | − | 134.316i | −1.39591 | − | 0.566736i | ||||
\(238\) | 27.5367 | − | 23.3384i | 0.115701 | − | 0.0980603i | ||||
\(239\) | −79.4387 | + | 109.338i | −0.332379 | + | 0.457481i | −0.942196 | − | 0.335061i | \(-0.891243\pi\) |
0.609817 | + | 0.792542i | \(0.291243\pi\) | |||||||
\(240\) | 233.901 | − | 53.7629i | 0.974586 | − | 0.224012i | ||||
\(241\) | −20.2962 | + | 14.7460i | −0.0842165 | + | 0.0611869i | −0.629097 | − | 0.777327i | \(-0.716575\pi\) |
0.544880 | + | 0.838514i | \(0.316575\pi\) | |||||||
\(242\) | −90.3415 | − | 22.0522i | −0.373312 | − | 0.0911247i | ||||
\(243\) | 85.0410 | − | 227.634i | 0.349963 | − | 0.936764i | ||||
\(244\) | −41.1664 | + | 247.725i | −0.168715 | + | 1.01526i | ||||
\(245\) | −162.263 | − | 0.249310i | −0.662297 | − | 0.00101759i | ||||
\(246\) | 26.8166 | − | 37.1623i | 0.109011 | − | 0.151066i | ||||
\(247\) | −662.393 | − | 337.506i | −2.68175 | − | 1.36642i | ||||
\(248\) | 27.5402 | + | 11.7768i | 0.111049 | + | 0.0474871i | ||||
\(249\) | −263.094 | − | 61.2093i | −1.05660 | − | 0.245821i | ||||
\(250\) | −212.054 | − | 132.412i | −0.848218 | − | 0.529647i | ||||
\(251\) | −69.5892 | −0.277248 | −0.138624 | − | 0.990345i | \(-0.544268\pi\) | ||||
−0.138624 | + | 0.990345i | \(0.544268\pi\) | |||||||
\(252\) | −21.9719 | + | 144.785i | −0.0871899 | + | 0.574543i | ||||
\(253\) | 317.804 | + | 161.929i | 1.25614 | + | 0.640036i | ||||
\(254\) | 36.2910 | − | 86.6818i | 0.142878 | − | 0.341267i | ||||
\(255\) | 15.1803 | − | 64.7975i | 0.0595304 | − | 0.254108i | ||||
\(256\) | −71.6778 | − | 245.761i | −0.279991 | − | 0.960003i | ||||
\(257\) | −314.579 | + | 314.579i | −1.22404 | + | 1.22404i | −0.257861 | + | 0.966182i | \(0.583018\pi\) |
−0.966182 | + | 0.257861i | \(0.916982\pi\) | |||||||
\(258\) | −29.2647 | + | 57.8978i | −0.113429 | + | 0.224410i | ||||
\(259\) | 120.959 | − | 87.8816i | 0.467022 | − | 0.339311i | ||||
\(260\) | 131.643 | + | 418.107i | 0.506321 | + | 1.60810i | ||||
\(261\) | −149.219 | + | 78.6943i | −0.571721 | + | 0.301511i | ||||
\(262\) | 121.678 | + | 143.567i | 0.464419 | + | 0.547964i | ||||
\(263\) | −41.6816 | + | 263.168i | −0.158485 | + | 1.00064i | 0.772350 | + | 0.635198i | \(0.219081\pi\) |
−0.930835 | + | 0.365440i | \(0.880919\pi\) | |||||||
\(264\) | −204.745 | + | 31.5147i | −0.775550 | + | 0.119374i | ||||
\(265\) | 309.833 | + | 158.468i | 1.16918 | + | 0.597993i | ||||
\(266\) | 275.025 | + | 22.6959i | 1.03393 | + | 0.0853231i | ||||
\(267\) | −124.369 | + | 30.7851i | −0.465801 | + | 0.115300i | ||||
\(268\) | 87.9011 | − | 119.073i | 0.327989 | − | 0.444304i | ||||
\(269\) | −88.0212 | + | 270.901i | −0.327216 | + | 1.00707i | 0.643214 | + | 0.765687i | \(0.277601\pi\) |
−0.970430 | + | 0.241382i | \(0.922399\pi\) | |||||||
\(270\) | 126.355 | + | 238.609i | 0.467982 | + | 0.883738i | ||||
\(271\) | −168.873 | + | 54.8701i | −0.623147 | + | 0.202473i | −0.603537 | − | 0.797335i | \(-0.706242\pi\) |
−0.0196099 | + | 0.999808i | \(0.506242\pi\) | |||||||
\(272\) | −69.9380 | − | 12.1686i | −0.257125 | − | 0.0447375i | ||||
\(273\) | −266.783 | − | 19.1092i | −0.977226 | − | 0.0699972i | ||||
\(274\) | 91.6354 | + | 78.8677i | 0.334436 | + | 0.287838i | ||||
\(275\) | 174.185 | + | 127.373i | 0.633402 | + | 0.463174i | ||||
\(276\) | −494.325 | − | 39.1827i | −1.79103 | − | 0.141966i | ||||
\(277\) | −41.4783 | − | 261.883i | −0.149741 | − | 0.945427i | −0.942090 | − | 0.335360i | \(-0.891142\pi\) |
0.792349 | − | 0.610068i | \(-0.208858\pi\) | |||||||
\(278\) | −76.9208 | + | 31.5200i | −0.276694 | + | 0.113381i | ||||
\(279\) | −4.80263 | + | 33.3526i | −0.0172137 | + | 0.119543i | ||||
\(280\) | −104.066 | − | 125.084i | −0.371664 | − | 0.446730i | ||||
\(281\) | 100.843 | + | 32.7658i | 0.358872 | + | 0.116604i | 0.482903 | − | 0.875674i | \(-0.339582\pi\) |
−0.124031 | + | 0.992278i | \(0.539582\pi\) | |||||||
\(282\) | 63.6120 | + | 9.86420i | 0.225575 | + | 0.0349794i | ||||
\(283\) | 232.788 | − | 118.611i | 0.822572 | − | 0.419121i | 0.00855571 | − | 0.999963i | \(-0.497277\pi\) |
0.814016 | + | 0.580842i | \(0.197277\pi\) | |||||||
\(284\) | −181.473 | + | 178.738i | −0.638989 | + | 0.629358i | ||||
\(285\) | 432.351 | − | 268.225i | 1.51702 | − | 0.941142i | ||||
\(286\) | −86.9278 | − | 368.234i | −0.303944 | − | 1.28753i | ||||
\(287\) | −30.6874 | − | 4.86041i | −0.106925 | − | 0.0169352i | ||||
\(288\) | 246.297 | − | 149.270i | 0.855199 | − | 0.518300i | ||||
\(289\) | 158.299 | − | 217.880i | 0.547748 | − | 0.753911i | ||||
\(290\) | 44.7291 | − | 182.028i | 0.154238 | − | 0.627682i | ||||
\(291\) | 191.389 | + | 453.015i | 0.657694 | + | 1.55675i | ||||
\(292\) | −1.04966 | − | 1.46804i | −0.00359472 | − | 0.00502755i | ||||
\(293\) | −107.246 | − | 107.246i | −0.366027 | − | 0.366027i | 0.499999 | − | 0.866026i | \(-0.333334\pi\) |
−0.866026 | + | 0.499999i | \(0.833334\pi\) | |||||||
\(294\) | −184.990 | + | 60.7695i | −0.629217 | + | 0.206699i | ||||
\(295\) | 105.385 | − | 76.3199i | 0.357239 | − | 0.258712i | ||||
\(296\) | −285.114 | − | 71.8941i | −0.963223 | − | 0.242886i | ||||
\(297\) | −93.7077 | − | 213.381i | −0.315514 | − | 0.718455i | ||||
\(298\) | −221.288 | + | 358.051i | −0.742578 | + | 1.20151i | ||||
\(299\) | − | 905.679i | − | 3.02903i | ||||||
\(300\) | −291.455 | − | 71.0929i | −0.971515 | − | 0.236976i | ||||
\(301\) | 43.9826 | 0.146122 | ||||||||
\(302\) | −64.6983 | − | 39.9859i | −0.214233 | − | 0.132404i | ||||
\(303\) | −391.353 | − | 329.515i | −1.29159 | − | 1.08751i | ||||
\(304\) | −312.295 | − | 443.859i | −1.02729 | − | 1.46006i | ||||
\(305\) | 184.897 | − | 253.668i | 0.606220 | − | 0.831700i | ||||
\(306\) | −7.08326 | − | 79.5475i | −0.0231479 | − | 0.259959i | ||||
\(307\) | −46.0242 | + | 46.0242i | −0.149916 | + | 0.149916i | −0.778081 | − | 0.628164i | \(-0.783806\pi\) |
0.628164 | + | 0.778081i | \(0.283806\pi\) | |||||||
\(308\) | 81.6873 | + | 114.247i | 0.265219 | + | 0.370933i | ||||
\(309\) | −31.5302 | − | 74.6316i | −0.102039 | − | 0.241526i | ||||
\(310\) | −24.1636 | − | 28.5994i | −0.0779471 | − | 0.0922561i | ||||
\(311\) | 331.216 | + | 240.643i | 1.06500 | + | 0.773771i | 0.975008 | − | 0.222171i | \(-0.0713142\pi\) |
0.0899970 | + | 0.995942i | \(0.471314\pi\) | |||||||
\(312\) | 307.324 | + | 426.894i | 0.985013 | + | 1.36825i | ||||
\(313\) | −66.2539 | + | 418.310i | −0.211674 | + | 1.33646i | 0.621487 | + | 0.783424i | \(0.286529\pi\) |
−0.833161 | + | 0.553031i | \(0.813471\pi\) | |||||||
\(314\) | 356.420 | − | 84.1388i | 1.13509 | − | 0.267958i | ||||
\(315\) | 105.732 | − | 149.430i | 0.335657 | − | 0.474380i | ||||
\(316\) | 339.183 | − | 334.071i | 1.07337 | − | 1.05719i | ||||
\(317\) | −81.1854 | − | 159.335i | −0.256105 | − | 0.502635i | 0.726776 | − | 0.686874i | \(-0.241018\pi\) |
−0.982881 | + | 0.184240i | \(0.941018\pi\) | |||||||
\(318\) | 412.676 | + | 63.9930i | 1.29772 | + | 0.201236i | ||||
\(319\) | −49.9963 | + | 153.873i | −0.156728 | + | 0.482360i | ||||
\(320\) | −57.7291 | + | 314.750i | −0.180404 | + | 0.983593i | ||||
\(321\) | 498.983 | − | 42.8042i | 1.55446 | − | 0.133346i | ||||
\(322\) | 127.474 | + | 311.086i | 0.395883 | + | 0.966106i | ||||
\(323\) | −148.642 | + | 23.5425i | −0.460191 | + | 0.0728871i | ||||
\(324\) | 233.760 | + | 224.349i | 0.721481 | + | 0.692434i | ||||
\(325\) | 87.3773 | − | 540.916i | 0.268853 | − | 1.66436i | ||||
\(326\) | 302.434 | − | 351.394i | 0.927712 | − | 1.07790i | ||||
\(327\) | 245.595 | + | 17.5916i | 0.751054 | + | 0.0537968i | ||||
\(328\) | 31.3310 | + | 52.4595i | 0.0955212 | + | 0.159937i | ||||
\(329\) | −13.4864 | − | 41.5068i | −0.0409920 | − | 0.126160i | ||||
\(330\) | 246.407 | + | 79.5997i | 0.746689 | + | 0.241211i | ||||
\(331\) | −71.6348 | − | 23.2756i | −0.216419 | − | 0.0703189i | 0.198801 | − | 0.980040i | \(-0.436295\pi\) |
−0.415220 | + | 0.909721i | \(0.636295\pi\) | |||||||
\(332\) | 213.903 | − | 289.760i | 0.644287 | − | 0.872770i | ||||
\(333\) | −4.65314 | − | 330.761i | −0.0139734 | − | 0.993276i | ||||
\(334\) | −20.9566 | + | 253.948i | −0.0627443 | + | 0.760323i | ||||
\(335\) | −164.969 | + | 83.7370i | −0.492445 | + | 0.249961i | ||||
\(336\) | −165.646 | − | 103.375i | −0.492995 | − | 0.307665i | ||||
\(337\) | 415.147 | + | 65.7527i | 1.23189 | + | 0.195112i | 0.738233 | − | 0.674546i | \(-0.235660\pi\) |
0.493656 | + | 0.869658i | \(0.335660\pi\) | |||||||
\(338\) | −475.051 | + | 402.623i | −1.40548 | + | 1.19119i | ||||
\(339\) | −324.677 | + | 281.274i | −0.957749 | + | 0.829715i | ||||
\(340\) | 71.3096 | + | 52.8109i | 0.209734 | + | 0.155326i | ||||
\(341\) | 18.9954 | + | 26.1450i | 0.0557051 | + | 0.0766715i | ||||
\(342\) | 391.734 | − | 468.317i | 1.14542 | − | 1.36935i | ||||
\(343\) | 234.291 | + | 234.291i | 0.683063 | + | 0.683063i | ||||
\(344\) | −55.4232 | − | 66.4092i | −0.161114 | − | 0.193050i | ||||
\(345\) | 530.276 | + | 320.957i | 1.53703 | + | 0.930312i | ||||
\(346\) | 118.378 | + | 49.5613i | 0.342134 | + | 0.143241i | ||||
\(347\) | −47.3161 | + | 92.8631i | −0.136358 | + | 0.267617i | −0.949081 | − | 0.315033i | \(-0.897984\pi\) |
0.812723 | + | 0.582650i | \(0.197984\pi\) | |||||||
\(348\) | −17.5223 | − | 224.248i | −0.0503515 | − | 0.644390i | ||||
\(349\) | − | 267.578i | − | 0.766700i | −0.923603 | − | 0.383350i | \(-0.874770\pi\) | ||
0.923603 | − | 0.383350i | \(-0.125230\pi\) | |||||||
\(350\) | 46.1213 | + | 198.094i | 0.131775 | + | 0.565983i | ||||
\(351\) | −374.739 | + | 457.988i | −1.06763 | + | 1.30481i | ||||
\(352\) | 69.5663 | − | 267.304i | 0.197631 | − | 0.759387i | ||||
\(353\) | −226.083 | + | 443.713i | −0.640461 | + | 1.25698i | 0.311351 | + | 0.950295i | \(0.399218\pi\) |
−0.951812 | + | 0.306681i | \(0.900782\pi\) | |||||||
\(354\) | 91.3687 | − | 126.618i | 0.258104 | − | 0.357678i | ||||
\(355\) | 302.961 | − | 97.9236i | 0.853411 | − | 0.275841i | ||||
\(356\) | 28.0041 | − | 168.519i | 0.0786633 | − | 0.473368i | ||||
\(357\) | −45.9657 | + | 28.6145i | −0.128756 | + | 0.0801526i | ||||
\(358\) | 18.1528 | − | 74.3670i | 0.0507062 | − | 0.207729i | ||||
\(359\) | 84.5088 | + | 116.316i | 0.235401 | + | 0.324001i | 0.910332 | − | 0.413880i | \(-0.135827\pi\) |
−0.674931 | + | 0.737881i | \(0.735827\pi\) | |||||||
\(360\) | −358.858 | + | 28.6545i | −0.996827 | + | 0.0795958i | ||||
\(361\) | −638.754 | − | 464.082i | −1.76940 | − | 1.28555i | ||||
\(362\) | 345.384 | + | 407.516i | 0.954099 | + | 1.12573i | ||||
\(363\) | 129.245 | + | 52.4731i | 0.356047 | + | 0.144554i | ||||
\(364\) | 164.311 | − | 316.514i | 0.451404 | − | 0.869543i | ||||
\(365\) | 0.349473 | + | 2.22864i | 0.000957459 | + | 0.00610586i | ||||
\(366\) | 115.241 | − | 358.621i | 0.314867 | − | 0.979840i | ||||
\(367\) | −264.165 | − | 518.453i | −0.719795 | − | 1.41268i | −0.903016 | − | 0.429606i | \(-0.858652\pi\) |
0.183221 | − | 0.983072i | \(-0.441348\pi\) | |||||||
\(368\) | 309.075 | − | 584.478i | 0.839879 | − | 1.58825i | ||||
\(369\) | −47.9189 | + | 49.2864i | −0.129862 | + | 0.133567i | ||||
\(370\) | 278.209 | + | 240.191i | 0.751916 | + | 0.649164i | ||||
\(371\) | −87.4914 | − | 269.271i | −0.235826 | − | 0.725797i | ||||
\(372\) | −38.2950 | − | 23.4967i | −0.102943 | − | 0.0631631i | ||||
\(373\) | −181.550 | + | 28.7547i | −0.486730 | + | 0.0770904i | −0.394976 | − | 0.918691i | \(-0.629247\pi\) |
−0.0917534 | + | 0.995782i | \(0.529247\pi\) | |||||||
\(374\) | −58.0521 | − | 49.9636i | −0.155219 | − | 0.133593i | ||||
\(375\) | 285.742 | + | 242.851i | 0.761978 | + | 0.647603i | ||||
\(376\) | −45.6765 | + | 72.6663i | −0.121480 | + | 0.193262i | ||||
\(377\) | 405.762 | − | 64.2664i | 1.07629 | − | 0.170468i | ||||
\(378\) | 64.2549 | − | 210.056i | 0.169986 | − | 0.555704i | ||||
\(379\) | 74.1888 | + | 228.330i | 0.195749 | + | 0.602453i | 0.999967 | + | 0.00811886i | \(0.00258434\pi\) |
−0.804218 | + | 0.594334i | \(0.797416\pi\) | |||||||
\(380\) | 100.002 | + | 670.982i | 0.263164 | + | 1.76574i | ||||
\(381\) | −72.8033 | + | 120.702i | −0.191085 | + | 0.316802i | ||||
\(382\) | −48.1297 | − | 642.736i | −0.125994 | − | 1.68256i | ||||
\(383\) | 63.0829 | + | 123.807i | 0.164707 | + | 0.323256i | 0.958578 | − | 0.284830i | \(-0.0919373\pi\) |
−0.793871 | + | 0.608087i | \(0.791937\pi\) | |||||||
\(384\) | 52.6474 | + | 380.374i | 0.137103 | + | 0.990557i | ||||
\(385\) | −27.1969 | − | 173.439i | −0.0706414 | − | 0.450491i | ||||
\(386\) | 8.71419 | + | 36.9141i | 0.0225756 | + | 0.0956324i | ||||
\(387\) | 56.0845 | − | 79.5225i | 0.144921 | − | 0.205484i | ||||
\(388\) | −655.694 | − | 4.97913i | −1.68993 | − | 0.0128328i | ||||
\(389\) | −43.8591 | − | 31.8655i | −0.112748 | − | 0.0819164i | 0.529982 | − | 0.848009i | \(-0.322199\pi\) |
−0.642731 | + | 0.766092i | \(0.722199\pi\) | |||||||
\(390\) | −103.962 | − | 649.242i | −0.266569 | − | 1.66472i | ||||
\(391\) | −107.765 | − | 148.326i | −0.275615 | − | 0.379351i | ||||
\(392\) | 23.3163 | − | 258.572i | 0.0594803 | − | 0.659622i | ||||
\(393\) | −149.186 | − | 239.649i | −0.379607 | − | 0.609794i | ||||
\(394\) | 330.692 | − | 200.925i | 0.839321 | − | 0.509963i | ||||
\(395\) | −566.251 | + | 183.025i | −1.43355 | + | 0.463354i | ||||
\(396\) | 310.728 | − | 2.01154i | 0.784667 | − | 0.00507964i | ||||
\(397\) | −157.662 | + | 309.429i | −0.397133 | + | 0.779417i | −0.999828 | − | 0.0185545i | \(-0.994094\pi\) |
0.602695 | + | 0.797972i | \(0.294094\pi\) | |||||||
\(398\) | −202.708 | + | 327.988i | −0.509317 | + | 0.824091i | ||||
\(399\) | −403.173 | − | 93.7990i | −1.01046 | − | 0.235085i | ||||
\(400\) | 240.984 | − | 319.260i | 0.602459 | − | 0.798150i | ||||
\(401\) | − | 769.419i | − | 1.91875i | −0.282134 | − | 0.959375i | \(-0.591042\pi\) | ||
0.282134 | − | 0.959375i | \(-0.408958\pi\) | |||||||
\(402\) | −156.473 | + | 157.489i | −0.389236 | + | 0.391763i | ||||
\(403\) | 37.2541 | − | 73.1152i | 0.0924418 | − | 0.181427i | ||||
\(404\) | 610.122 | − | 305.059i | 1.51020 | − | 0.755097i | ||||
\(405\) | −135.351 | − | 381.713i | −0.334201 | − | 0.942502i | ||||
\(406\) | −130.327 | + | 79.1856i | −0.321003 | + | 0.195038i | ||||
\(407\) | −224.330 | − | 224.330i | −0.551178 | − | 0.551178i | ||||
\(408\) | 101.127 | + | 33.3460i | 0.247860 | + | 0.0817303i | ||||
\(409\) | −329.323 | − | 453.275i | −0.805192 | − | 1.10825i | −0.992048 | − | 0.125864i | \(-0.959830\pi\) |
0.186856 | − | 0.982387i | \(-0.440170\pi\) | |||||||
\(410\) | −5.58647 | − | 76.1747i | −0.0136255 | − | 0.185792i | ||||
\(411\) | −118.746 | − | 137.069i | −0.288919 | − | 0.333502i | ||||
\(412\) | 108.022 | + | 0.820283i | 0.262189 | + | 0.00199098i | ||||
\(413\) | −104.557 | − | 16.5602i | −0.253165 | − | 0.0400974i | ||||
\(414\) | 725.006 | + | 166.203i | 1.75122 | + | 0.401455i | ||||
\(415\) | −401.445 | + | 203.770i | −0.967337 | + | 0.491012i | ||||
\(416\) | −684.954 | + | 150.751i | −1.64652 | + | 0.362383i | ||||
\(417\) | 121.040 | − | 29.9610i | 0.290263 | − | 0.0718489i | ||||
\(418\) | −43.7255 | − | 583.921i | −0.104606 | − | 1.39694i | ||||
\(419\) | 569.585 | + | 185.069i | 1.35939 | + | 0.441693i | 0.895840 | − | 0.444377i | \(-0.146575\pi\) |
0.463551 | + | 0.886070i | \(0.346575\pi\) | |||||||
\(420\) | 127.090 | + | 208.372i | 0.302596 | + | 0.496123i | ||||
\(421\) | 149.201 | + | 459.194i | 0.354397 | + | 1.09072i | 0.956358 | + | 0.292196i | \(0.0943860\pi\) |
−0.601962 | + | 0.798525i | \(0.705614\pi\) | |||||||
\(422\) | 22.6024 | + | 55.1584i | 0.0535602 | + | 0.130707i | ||||
\(423\) | −92.2432 | − | 28.5435i | −0.218069 | − | 0.0674787i | ||||
\(424\) | −296.322 | + | 471.415i | −0.698872 | + | 1.11183i | ||||
\(425\) | −50.0526 | − | 98.9846i | −0.117771 | − | 0.232905i | ||||
\(426\) | 308.374 | − | 225.576i | 0.723883 | − | 0.529520i | ||||
\(427\) | −252.237 | + | 39.9504i | −0.590719 | + | 0.0935607i | ||||
\(428\) | −211.164 | + | 633.487i | −0.493373 | + | 1.48011i | ||||
\(429\) | 48.5065 | + | 565.456i | 0.113069 | + | 1.31808i | ||||
\(430\) | 24.6797 | + | 105.268i | 0.0573945 | + | 0.244810i | ||||
\(431\) | −65.2506 | + | 200.821i | −0.151393 | + | 0.465941i | −0.997778 | − | 0.0666317i | \(-0.978775\pi\) |
0.846384 | + | 0.532573i | \(0.178775\pi\) | |||||||
\(432\) | −398.131 | + | 167.677i | −0.921600 | + | 0.388140i | ||||
\(433\) | −41.7731 | − | 81.9843i | −0.0964737 | − | 0.189340i | 0.837726 | − | 0.546091i | \(-0.183885\pi\) |
−0.934200 | + | 0.356750i | \(0.883885\pi\) | |||||||
\(434\) | −2.50519 | + | 30.3574i | −0.00577232 | + | 0.0699479i | ||||
\(435\) | −106.167 | + | 260.349i | −0.244063 | + | 0.598504i | ||||
\(436\) | −151.261 | + | 291.376i | −0.346930 | + | 0.668293i | ||||
\(437\) | 219.268 | − | 1384.40i | 0.501757 | − | 3.16797i | ||||
\(438\) | 1.23677 | + | 2.40801i | 0.00282369 | + | 0.00549773i | ||||
\(439\) | 545.379 | + | 396.241i | 1.24232 | + | 0.902599i | 0.997751 | − | 0.0670320i | \(-0.0213530\pi\) |
0.244571 | + | 0.969631i | \(0.421353\pi\) | |||||||
\(440\) | −227.604 | + | 259.618i | −0.517281 | + | 0.590040i | ||||
\(441\) | 287.806 | − | 49.7437i | 0.652622 | − | 0.112798i | ||||
\(442\) | −46.1189 | + | 188.936i | −0.104341 | + | 0.427457i | ||||
\(443\) | 59.9780 | − | 59.9780i | 0.135391 | − | 0.135391i | −0.636164 | − | 0.771554i | \(-0.719480\pi\) |
0.771554 | + | 0.636164i | \(0.219480\pi\) | |||||||
\(444\) | 407.390 | + | 169.014i | 0.917545 | + | 0.380662i | ||||
\(445\) | −125.779 | + | 172.562i | −0.282650 | + | 0.387781i | ||||
\(446\) | 129.549 | + | 54.2379i | 0.290468 | + | 0.121610i | ||||
\(447\) | 406.656 | − | 482.971i | 0.909746 | − | 1.08047i | ||||
\(448\) | 214.052 | − | 148.188i | 0.477796 | − | 0.330777i | ||||
\(449\) | 275.546 | 0.613689 | 0.306844 | − | 0.951760i | \(-0.400727\pi\) | ||||
0.306844 | + | 0.951760i | \(0.400727\pi\) | |||||||
\(450\) | 416.974 | + | 169.211i | 0.926610 | + | 0.376024i | ||||
\(451\) | 65.9268i | 0.146179i | ||||||||
\(452\) | −172.851 | − | 546.055i | −0.382413 | − | 1.20809i | ||||
\(453\) | 87.2709 | + | 73.4811i | 0.192651 | + | 0.162210i | ||||
\(454\) | 109.049 | + | 45.6555i | 0.240197 | + | 0.100563i | ||||
\(455\) | −361.043 | + | 261.467i | −0.793502 | + | 0.574652i | ||||
\(456\) | 366.417 | + | 726.947i | 0.803547 | + | 1.59418i | ||||
\(457\) | −41.8167 | − | 41.8167i | −0.0915027 | − | 0.0915027i | 0.659874 | − | 0.751376i | \(-0.270610\pi\) |
−0.751376 | + | 0.659874i | \(0.770610\pi\) | |||||||
\(458\) | −82.6717 | + | 338.682i | −0.180506 | + | 0.739481i | ||||
\(459\) | −6.87706 | + | 119.596i | −0.0149827 | + | 0.260557i | ||||
\(460\) | −673.026 | + | 479.656i | −1.46310 | + | 1.04273i | ||||
\(461\) | 0.961060 | − | 1.32279i | 0.00208473 | − | 0.00286938i | −0.807973 | − | 0.589219i | \(-0.799436\pi\) |
0.810058 | + | 0.586350i | \(0.199436\pi\) | |||||||
\(462\) | −96.2493 | − | 187.398i | −0.208332 | − | 0.405623i | ||||
\(463\) | −260.516 | − | 41.2616i | −0.562668 | − | 0.0891179i | −0.131380 | − | 0.991332i | \(-0.541941\pi\) |
−0.431288 | + | 0.902214i | \(0.641941\pi\) | |||||||
\(464\) | 283.790 | + | 96.9978i | 0.611616 | + | 0.209047i | ||||
\(465\) | 29.6068 | + | 47.7231i | 0.0636706 | + | 0.102630i | ||||
\(466\) | −4.21515 | + | 51.0784i | −0.00904539 | + | 0.109610i | ||||
\(467\) | −156.558 | + | 79.7703i | −0.335242 | + | 0.170814i | −0.613505 | − | 0.789690i | \(-0.710241\pi\) |
0.278264 | + | 0.960505i | \(0.410241\pi\) | |||||||
\(468\) | −362.749 | − | 700.684i | −0.775105 | − | 1.49719i | ||||
\(469\) | 143.147 | + | 46.5114i | 0.305218 | + | 0.0991715i | ||||
\(470\) | 91.7750 | − | 55.5687i | 0.195266 | − | 0.118231i | ||||
\(471\) | −547.314 | + | 46.9502i | −1.16203 | + | 0.0996819i | ||||
\(472\) | 106.750 | + | 178.738i | 0.226165 | + | 0.378683i | ||||
\(473\) | −14.5994 | − | 92.1771i | −0.0308656 | − | 0.194878i | ||||
\(474\) | −576.369 | + | 421.614i | −1.21597 | + | 0.889481i | ||||
\(475\) | 264.521 | − | 805.679i | 0.556886 | − | 1.69617i | ||||
\(476\) | −10.7517 | − | 71.3877i | −0.0225875 | − | 0.149974i | ||||
\(477\) | −598.418 | − | 185.173i | −1.25454 | − | 0.388203i | ||||
\(478\) | 102.490 | + | 250.114i | 0.214414 | + | 0.523251i | ||||
\(479\) | −587.161 | + | 190.780i | −1.22581 | + | 0.398289i | −0.849193 | − | 0.528082i | \(-0.822911\pi\) |
−0.376613 | + | 0.926371i | \(0.622911\pi\) | |||||||
\(480\) | 154.471 | − | 454.465i | 0.321815 | − | 0.946803i | ||||
\(481\) | −248.932 | + | 766.133i | −0.517529 | + | 1.59279i | ||||
\(482\) | 3.74674 | + | 50.0348i | 0.00777331 | + | 0.103807i | ||||
\(483\) | −121.169 | − | 489.513i | −0.250868 | − | 1.01348i | ||||
\(484\) | −132.508 | + | 130.511i | −0.273777 | + | 0.269651i | ||||
\(485\) | 729.733 | + | 373.231i | 1.50460 | + | 0.769548i | ||||
\(486\) | −297.856 | − | 384.029i | −0.612871 | − | 0.790183i | ||||
\(487\) | −118.695 | + | 749.413i | −0.243728 | + | 1.53884i | 0.497430 | + | 0.867504i | \(0.334277\pi\) |
−0.741157 | + | 0.671332i | \(0.765723\pi\) | |||||||
\(488\) | 378.169 | + | 330.510i | 0.774936 | + | 0.677274i | ||||
\(489\) | −525.621 | + | 455.355i | −1.07489 | + | 0.931196i | ||||
\(490\) | −171.038 | + | 275.796i | −0.349057 | + | 0.562848i | ||||
\(491\) | 301.288 | − | 218.898i | 0.613620 | − | 0.445821i | −0.237067 | − | 0.971493i | \(-0.576186\pi\) |
0.850687 | + | 0.525672i | \(0.176186\pi\) | |||||||
\(492\) | −35.0275 | − | 84.6979i | −0.0711940 | − | 0.172150i | ||||
\(493\) | 58.8062 | − | 58.8062i | 0.119282 | − | 0.119282i | ||||
\(494\) | −1270.68 | + | 772.053i | −2.57223 | + | 1.56286i | ||||
\(495\) | −348.265 | − | 171.988i | −0.703567 | − | 0.347450i | ||||
\(496\) | 48.9934 | − | 34.4713i | 0.0987770 | − | 0.0694985i | ||||
\(497\) | −230.802 | − | 117.599i | −0.464390 | − | 0.236619i | ||||
\(498\) | −380.769 | + | 383.242i | −0.764596 | + | 0.769562i | ||||
\(499\) | 83.6154 | 0.167566 | 0.0837829 | − | 0.996484i | \(-0.473300\pi\) | ||||
0.0837829 | + | 0.996484i | \(0.473300\pi\) | |||||||
\(500\) | −448.240 | + | 221.542i | −0.896480 | + | 0.443084i | ||||
\(501\) | 86.6105 | − | 372.275i | 0.172875 | − | 0.743063i | ||||
\(502\) | −73.1706 | + | 118.392i | −0.145758 | + | 0.235841i | ||||
\(503\) | 280.099 | + | 142.718i | 0.556857 | + | 0.283733i | 0.709684 | − | 0.704520i | \(-0.248838\pi\) |
−0.152827 | + | 0.988253i | \(0.548838\pi\) | |||||||
\(504\) | 223.220 | + | 189.617i | 0.442897 | + | 0.376224i | ||||
\(505\) | −852.669 | − | 1.31009i | −1.68845 | − | 0.00259424i | ||||
\(506\) | 609.649 | − | 370.417i | 1.20484 | − | 0.732049i | ||||
\(507\) | 792.980 | − | 493.644i | 1.56406 | − | 0.973656i | ||||
\(508\) | −109.313 | − | 152.885i | −0.215183 | − | 0.300954i | ||||
\(509\) | −510.446 | + | 370.861i | −1.00284 | + | 0.728607i | −0.962696 | − | 0.270587i | \(-0.912782\pi\) |
−0.0401458 | + | 0.999194i | \(0.512782\pi\) | |||||||
\(510\) | −94.2785 | − | 93.9584i | −0.184860 | − | 0.184232i | ||||
\(511\) | 1.07877 | − | 1.48480i | 0.00211109 | − | 0.00290567i | ||||
\(512\) | −493.479 | − | 136.463i | −0.963827 | − | 0.266529i | ||||
\(513\) | −683.699 | + | 609.346i | −1.33275 | + | 1.18781i | ||||
\(514\) | 204.425 | + | 865.962i | 0.397714 | + | 1.68475i | ||||
\(515\) | −120.219 | − | 61.4876i | −0.233435 | − | 0.119393i | ||||
\(516\) | 67.7307 | + | 110.666i | 0.131261 | + | 0.214468i | ||||
\(517\) | −82.5117 | + | 42.0418i | −0.159597 | + | 0.0813188i | ||||
\(518\) | −22.3293 | − | 298.191i | −0.0431068 | − | 0.575659i | ||||
\(519\) | −164.838 | − | 99.4250i | −0.317607 | − | 0.191570i | ||||
\(520\) | 849.744 | + | 215.660i | 1.63412 | + | 0.414731i | ||||
\(521\) | 686.083 | − | 222.922i | 1.31686 | − | 0.427873i | 0.435443 | − | 0.900216i | \(-0.356592\pi\) |
0.881415 | + | 0.472343i | \(0.156592\pi\) | |||||||
\(522\) | −23.0160 | + | 336.611i | −0.0440920 | + | 0.644849i | ||||
\(523\) | −37.3516 | − | 235.829i | −0.0714180 | − | 0.450915i | −0.997321 | − | 0.0731533i | \(-0.976694\pi\) |
0.925903 | − | 0.377762i | \(-0.123306\pi\) | |||||||
\(524\) | 372.190 | − | 56.0554i | 0.710286 | − | 0.106976i | ||||
\(525\) | −25.1414 | − | 304.051i | −0.0478884 | − | 0.579145i | ||||
\(526\) | 403.900 | + | 347.624i | 0.767871 | + | 0.660883i | ||||
\(527\) | −2.59864 | − | 16.4071i | −0.00493100 | − | 0.0311331i | ||||
\(528\) | −161.666 | + | 381.469i | −0.306186 | + | 0.722480i | ||||
\(529\) | 1120.90 | − | 364.203i | 2.11890 | − | 0.688474i | ||||
\(530\) | 595.381 | − | 360.496i | 1.12336 | − | 0.680182i | ||||
\(531\) | −163.268 | + | 167.927i | −0.307472 | + | 0.316247i | ||||
\(532\) | 327.792 | − | 444.037i | 0.616150 | − | 0.834655i | ||||
\(533\) | 149.156 | − | 75.9985i | 0.279842 | − | 0.142586i | ||||
\(534\) | −78.3948 | + | 243.958i | −0.146807 | + | 0.456851i | ||||
\(535\) | 591.123 | − | 589.309i | 1.10490 | − | 1.10151i | ||||
\(536\) | −110.155 | − | 274.748i | −0.205513 | − | 0.512589i | ||||
\(537\) | −43.1946 | + | 106.392i | −0.0804369 | + | 0.198122i | ||||
\(538\) | 368.333 | + | 434.594i | 0.684635 | + | 0.807795i | ||||
\(539\) | 164.648 | − | 226.618i | 0.305469 | − | 0.420441i | ||||
\(540\) | 538.804 | + | 35.9208i | 0.997785 | + | 0.0665200i | ||||
\(541\) | 49.6718 | − | 36.0887i | 0.0918148 | − | 0.0667073i | −0.540931 | − | 0.841067i | \(-0.681928\pi\) |
0.632746 | + | 0.774360i | \(0.281928\pi\) | |||||||
\(542\) | −84.2132 | + | 344.997i | −0.155375 | + | 0.636526i | ||||
\(543\) | −423.465 | − | 680.246i | −0.779863 | − | 1.25276i | ||||
\(544\) | −94.2397 | + | 106.191i | −0.173235 | + | 0.195203i | ||||
\(545\) | 332.369 | − | 240.701i | 0.609851 | − | 0.441653i | ||||
\(546\) | −313.023 | + | 433.785i | −0.573302 | + | 0.794478i | ||||
\(547\) | 609.781 | + | 310.699i | 1.11477 | + | 0.568005i | 0.911576 | − | 0.411133i | \(-0.134867\pi\) |
0.203197 | + | 0.979138i | \(0.434867\pi\) | |||||||
\(548\) | 230.529 | − | 72.9728i | 0.420673 | − | 0.133162i | ||||
\(549\) | −249.408 | + | 506.999i | −0.454296 | + | 0.923495i | ||||
\(550\) | 399.849 | − | 162.414i | 0.726998 | − | 0.295298i | ||||
\(551\) | 635.800 | 1.15390 | ||||||||
\(552\) | −586.426 | + | 799.796i | −1.06237 | + | 1.44890i | ||||
\(553\) | 431.382 | + | 219.800i | 0.780077 | + | 0.397469i | ||||
\(554\) | −489.155 | − | 204.794i | −0.882952 | − | 0.369664i | ||||
\(555\) | −360.355 | − | 417.255i | −0.649288 | − | 0.751810i | ||||
\(556\) | −27.2545 | + | 164.008i | −0.0490188 | + | 0.294978i | ||||
\(557\) | −334.378 | + | 334.378i | −0.600319 | + | 0.600319i | −0.940397 | − | 0.340078i | \(-0.889546\pi\) |
0.340078 | + | 0.940397i | \(0.389546\pi\) | |||||||
\(558\) | 51.6930 | + | 43.2398i | 0.0926398 | + | 0.0774907i | ||||
\(559\) | −191.715 | + | 139.289i | −0.342961 | + | 0.249176i | ||||
\(560\) | −322.228 | + | 45.5260i | −0.575407 | + | 0.0812964i | ||||
\(561\) | 75.2269 | + | 86.8351i | 0.134094 | + | 0.154786i | ||||
\(562\) | 161.777 | − | 137.112i | 0.287860 | − | 0.243971i | ||||
\(563\) | 32.5316 | − | 205.396i | 0.0577826 | − | 0.364825i | −0.941806 | − | 0.336156i | \(-0.890873\pi\) |
0.999589 | − | 0.0286691i | \(-0.00912689\pi\) | |||||||
\(564\) | 83.6677 | − | 97.8513i | 0.148347 | − | 0.173495i | ||||
\(565\) | −113.085 | + | 706.961i | −0.200151 | + | 1.25126i | ||||
\(566\) | 42.9746 | − | 520.758i | 0.0759268 | − | 0.920067i | ||||
\(567\) | −141.270 | + | 297.675i | −0.249154 | + | 0.524999i | ||||
\(568\) | 113.274 | + | 496.676i | 0.199426 | + | 0.874430i | ||||
\(569\) | 123.683 | − | 380.658i | 0.217370 | − | 0.668995i | −0.781607 | − | 0.623771i | \(-0.785600\pi\) |
0.998977 | − | 0.0452238i | \(-0.0144001\pi\) | |||||||
\(570\) | −1.73022 | − | 1017.59i | −0.00303547 | − | 1.78524i | ||||
\(571\) | 294.068 | − | 95.5486i | 0.515006 | − | 0.167335i | −0.0399719 | − | 0.999201i | \(-0.512727\pi\) |
0.554978 | + | 0.831865i | \(0.312727\pi\) | |||||||
\(572\) | −717.878 | − | 239.295i | −1.25503 | − | 0.418347i | ||||
\(573\) | −69.0737 | + | 964.333i | −0.120547 | + | 1.68296i | ||||
\(574\) | −40.5357 | + | 47.0979i | −0.0706197 | + | 0.0820522i | ||||
\(575\) | 1020.85 | − | 158.472i | 1.77538 | − | 0.275604i | ||||
\(576\) | 5.01894 | − | 575.978i | 0.00871343 | − | 0.999962i | ||||
\(577\) | 12.6370 | + | 79.7871i | 0.0219013 | + | 0.138279i | 0.996216 | − | 0.0869111i | \(-0.0276996\pi\) |
−0.974315 | + | 0.225190i | \(0.927700\pi\) | |||||||
\(578\) | −204.234 | − | 498.408i | −0.353346 | − | 0.862298i | ||||
\(579\) | −4.86259 | − | 56.6849i | −0.00839826 | − | 0.0979014i | ||||
\(580\) | −262.653 | − | 267.493i | −0.452850 | − | 0.461195i | ||||
\(581\) | 348.343 | + | 113.183i | 0.599557 | + | 0.194808i | ||||
\(582\) | 971.953 | + | 150.719i | 1.67002 | + | 0.258967i | ||||
\(583\) | −535.286 | + | 272.742i | −0.918158 | + | 0.467825i | ||||
\(584\) | −3.60126 | + | 0.242187i | −0.00616655 | + | 0.000414704i | ||||
\(585\) | 12.3582 | + | 986.192i | 0.0211252 | + | 1.68580i | ||||
\(586\) | −295.223 | + | 69.6923i | −0.503793 | + | 0.118929i | ||||
\(587\) | −478.217 | − | 75.7421i | −0.814679 | − | 0.129032i | −0.264828 | − | 0.964296i | \(-0.585315\pi\) |
−0.549851 | + | 0.835263i | \(0.685315\pi\) | |||||||
\(588\) | −91.1230 | + | 378.620i | −0.154971 | + | 0.643912i | ||||
\(589\) | 74.6473 | − | 102.743i | 0.126736 | − | 0.174437i | ||||
\(590\) | −19.0341 | − | 259.540i | −0.0322611 | − | 0.439898i | ||||
\(591\) | −534.664 | + | 225.884i | −0.904677 | + | 0.382206i | ||||
\(592\) | −422.101 | + | 409.471i | −0.713008 | + | 0.691673i | ||||
\(593\) | −380.180 | − | 380.180i | −0.641113 | − | 0.641113i | 0.309716 | − | 0.950829i | \(-0.399766\pi\) |
−0.950829 | + | 0.309716i | \(0.899766\pi\) | |||||||
\(594\) | −461.556 | − | 64.9378i | −0.777030 | − | 0.109323i | ||||
\(595\) | −28.0178 | + | 85.7813i | −0.0470888 | + | 0.144170i | ||||
\(596\) | 376.476 | + | 752.956i | 0.631671 | + | 1.26335i | ||||
\(597\) | 372.512 | − | 442.420i | 0.623974 | − | 0.741071i | ||||
\(598\) | −1540.83 | − | 952.289i | −2.57664 | − | 1.59246i | ||||
\(599\) | 48.0245i | 0.0801744i | 0.999196 | + | 0.0400872i | \(0.0127636\pi\) | ||||
−0.999196 | + | 0.0400872i | \(0.987236\pi\) | |||||||
\(600\) | −427.404 | + | 421.100i | −0.712341 | + | 0.701834i | ||||
\(601\) | 260.998 | 0.434272 | 0.217136 | − | 0.976141i | \(-0.430328\pi\) | ||||
0.217136 | + | 0.976141i | \(0.430328\pi\) | |||||||
\(602\) | 46.2462 | − | 74.8277i | 0.0768209 | − | 0.124298i | ||||
\(603\) | 266.629 | − | 199.508i | 0.442171 | − | 0.330858i | ||||
\(604\) | −136.056 | + | 68.0276i | −0.225258 | + | 0.112628i | ||||
\(605\) | 221.216 | − | 71.5020i | 0.365647 | − | 0.118185i | ||||
\(606\) | −972.097 | + | 319.336i | −1.60412 | + | 0.526957i | ||||
\(607\) | −651.657 | + | 651.657i | −1.07357 | + | 1.07357i | −0.0765009 | + | 0.997070i | \(0.524375\pi\) |
−0.997070 | + | 0.0765009i | \(0.975625\pi\) | |||||||
\(608\) | −1083.50 | + | 64.6056i | −1.78208 | + | 0.106259i | ||||
\(609\) | 210.713 | − | 89.0218i | 0.345999 | − | 0.146177i | ||||
\(610\) | −237.154 | − | 581.289i | −0.388776 | − | 0.952932i | ||||
\(611\) | 190.234 | + | 138.213i | 0.311349 | + | 0.226208i | ||||
\(612\) | −142.782 | − | 71.5906i | −0.233304 | − | 0.116978i | ||||
\(613\) | −3.47388 | + | 21.9332i | −0.00566702 | + | 0.0357801i | −0.990360 | − | 0.138519i | \(-0.955766\pi\) |
0.984693 | + | 0.174299i | \(0.0557659\pi\) | |||||||
\(614\) | 29.9082 | + | 126.694i | 0.0487105 | + | 0.206342i | ||||
\(615\) | −8.36099 | + | 114.263i | −0.0135951 | + | 0.185794i | ||||
\(616\) | 280.260 | − | 18.8477i | 0.454968 | − | 0.0305969i | ||||
\(617\) | 149.101 | + | 292.626i | 0.241654 | + | 0.474273i | 0.979698 | − | 0.200480i | \(-0.0642502\pi\) |
−0.738044 | + | 0.674753i | \(0.764250\pi\) | |||||||
\(618\) | −160.124 | − | 24.8301i | −0.259100 | − | 0.0401781i | ||||
\(619\) | 37.2561 | − | 114.663i | 0.0601876 | − | 0.185238i | −0.916442 | − | 0.400167i | \(-0.868952\pi\) |
0.976630 | + | 0.214929i | \(0.0689520\pi\) | |||||||
\(620\) | −74.0633 | + | 11.0383i | −0.119457 | + | 0.0178037i | ||||
\(621\) | −1039.57 | − | 405.124i | −1.67402 | − | 0.652373i | ||||
\(622\) | 757.668 | − | 310.471i | 1.21812 | − | 0.499150i | ||||
\(623\) | 171.589 | − | 27.1770i | 0.275423 | − | 0.0436228i | ||||
\(624\) | 1049.42 | − | 73.9867i | 1.68176 | − | 0.118568i | ||||
\(625\) | 624.988 | + | 3.84112i | 0.999981 | + | 0.00614579i | ||||
\(626\) | 642.008 | + | 552.556i | 1.02557 | + | 0.882678i | ||||
\(627\) | −62.7529 | + | 876.089i | −0.100084 | + | 1.39727i | ||||
\(628\) | 231.617 | − | 694.846i | 0.368817 | − | 1.10644i | ||||
\(629\) | 50.3925 | + | 155.092i | 0.0801153 | + | 0.246570i | ||||
\(630\) | −143.052 | − | 337.002i | −0.227066 | − | 0.534923i | ||||
\(631\) | 342.869 | + | 111.405i | 0.543374 | + | 0.176553i | 0.567827 | − | 0.823148i | \(-0.307784\pi\) |
−0.0244529 | + | 0.999701i | \(0.507784\pi\) | |||||||
\(632\) | −211.716 | − | 928.317i | −0.334993 | − | 1.46886i | ||||
\(633\) | −21.4844 | − | 86.7951i | −0.0339407 | − | 0.137117i | ||||
\(634\) | −356.441 | − | 29.4146i | −0.562209 | − | 0.0463953i | ||||
\(635\) | 36.3946 | + | 232.094i | 0.0573144 | + | 0.365503i | ||||
\(636\) | 542.786 | − | 634.800i | 0.853436 | − | 0.998113i | ||||
\(637\) | −702.510 | − | 111.267i | −1.10284 | − | 0.174673i | ||||
\(638\) | 209.215 | + | 246.851i | 0.327923 | + | 0.386913i | ||||
\(639\) | −506.932 | + | 267.343i | −0.793322 | + | 0.418377i | ||||
\(640\) | 474.784 | + | 429.163i | 0.741849 | + | 0.670567i | ||||
\(641\) | −169.862 | − | 233.795i | −0.264995 | − | 0.364734i | 0.655697 | − | 0.755024i | \(-0.272375\pi\) |
−0.920692 | + | 0.390290i | \(0.872375\pi\) | |||||||
\(642\) | 451.840 | − | 893.927i | 0.703800 | − | 1.39241i | ||||
\(643\) | 633.159 | + | 633.159i | 0.984696 | + | 0.984696i | 0.999885 | − | 0.0151891i | \(-0.00483501\pi\) |
−0.0151891 | + | 0.999885i | \(0.504835\pi\) | |||||||
\(644\) | 663.286 | + | 110.223i | 1.02995 | + | 0.171154i | ||||
\(645\) | −13.6134 | − | 161.612i | −0.0211060 | − | 0.250561i | ||||
\(646\) | −116.238 | + | 277.638i | −0.179936 | + | 0.429781i | ||||
\(647\) | 432.141 | − | 848.125i | 0.667916 | − | 1.31086i | −0.269619 | − | 0.962967i | \(-0.586898\pi\) |
0.937535 | − | 0.347891i | \(-0.113102\pi\) | |||||||
\(648\) | 627.475 | − | 161.801i | 0.968325 | − | 0.249693i | ||||
\(649\) | 224.624i | 0.346108i | ||||||||
\(650\) | −828.386 | − | 717.408i | −1.27444 | − | 1.10371i | ||||
\(651\) | 10.3536 | − | 44.5024i | 0.0159041 | − | 0.0683600i | ||||
\(652\) | −279.829 | − | 884.010i | −0.429185 | − | 1.35584i | ||||
\(653\) | 18.1528 | − | 35.6269i | 0.0277991 | − | 0.0545589i | −0.876689 | − | 0.481057i | \(-0.840253\pi\) |
0.904488 | + | 0.426498i | \(0.140253\pi\) | |||||||
\(654\) | 288.162 | − | 399.333i | 0.440615 | − | 0.610601i | ||||
\(655\) | −447.233 | − | 146.075i | −0.682799 | − | 0.223015i | ||||
\(656\) | 122.193 | + | 1.85589i | 0.186269 | + | 0.00282910i | ||||
\(657\) | −1.30898 | − | 3.84380i | −0.00199237 | − | 0.00585053i | ||||
\(658\) | −84.7959 | − | 20.6985i | −0.128869 | − | 0.0314567i | ||||
\(659\) | 417.647 | + | 574.842i | 0.633759 | + | 0.872294i | 0.998263 | − | 0.0589077i | \(-0.0187618\pi\) |
−0.364505 | + | 0.931201i | \(0.618762\pi\) | |||||||
\(660\) | 394.511 | − | 335.517i | 0.597745 | − | 0.508359i | ||||
\(661\) | −817.353 | − | 593.842i | −1.23654 | − | 0.898399i | −0.239178 | − | 0.970976i | \(-0.576878\pi\) |
−0.997363 | + | 0.0725765i | \(0.976878\pi\) | |||||||
\(662\) | −114.920 | + | 97.3989i | −0.173595 | + | 0.147128i | ||||
\(663\) | 109.740 | − | 270.297i | 0.165520 | − | 0.407688i | ||||
\(664\) | −268.057 | − | 668.586i | −0.403700 | − | 1.00691i | ||||
\(665\) | −615.186 | + | 312.263i | −0.925092 | + | 0.469569i | ||||
\(666\) | −567.616 | − | 339.867i | −0.852277 | − | 0.510311i | ||||
\(667\) | 351.647 | + | 690.146i | 0.527207 | + | 1.03470i | ||||
\(668\) | 410.007 | + | 302.671i | 0.613783 | + | 0.453100i | ||||
\(669\) | −180.392 | − | 108.807i | −0.269645 | − | 0.162641i | ||||
\(670\) | −30.9974 | + | 368.709i | −0.0462648 | + | 0.550311i | ||||
\(671\) | 167.453 | + | 515.368i | 0.249558 | + | 0.768060i | ||||
\(672\) | −350.044 | + | 173.119i | −0.520898 | + | 0.257617i | ||||
\(673\) | 564.206 | − | 89.3615i | 0.838345 | − | 0.132781i | 0.277525 | − | 0.960718i | \(-0.410486\pi\) |
0.560820 | + | 0.827938i | \(0.310486\pi\) | |||||||
\(674\) | 548.377 | − | 637.152i | 0.813616 | − | 0.945330i | ||||
\(675\) | −581.796 | − | 342.254i | −0.861921 | − | 0.507043i | ||||
\(676\) | 185.483 | + | 1231.55i | 0.274383 | + | 1.82182i | ||||
\(677\) | −553.991 | + | 87.7436i | −0.818303 | + | 0.129606i | −0.551532 | − | 0.834154i | \(-0.685957\pi\) |
−0.266771 | + | 0.963760i | \(0.585957\pi\) | |||||||
\(678\) | 137.145 | + | 848.122i | 0.202278 | + | 1.25092i | ||||
\(679\) | −206.063 | − | 634.198i | −0.303481 | − | 0.934018i | ||||
\(680\) | 164.827 | − | 65.7904i | 0.242392 | − | 0.0967505i | ||||
\(681\) | −151.848 | − | 91.5896i | −0.222978 | − | 0.134493i | ||||
\(682\) | 64.4535 | − | 4.82644i | 0.0945066 | − | 0.00707689i | ||||
\(683\) | 570.118 | + | 1118.92i | 0.834726 | + | 1.63824i | 0.767982 | + | 0.640472i | \(0.221261\pi\) |
0.0667441 | + | 0.997770i | \(0.478739\pi\) | |||||||
\(684\) | −384.853 | − | 1158.88i | −0.562651 | − | 1.69426i | ||||
\(685\) | −298.459 | − | 47.7415i | −0.435707 | − | 0.0696956i | ||||
\(686\) | 644.947 | − | 152.250i | 0.940156 | − | 0.221939i | ||||
\(687\) | 196.717 | − | 484.529i | 0.286342 | − | 0.705282i | ||||
\(688\) | −171.258 | + | 24.4646i | −0.248921 | + | 0.0355590i | ||||
\(689\) | 1234.12 | + | 896.643i | 1.79118 | + | 1.30137i | ||||
\(690\) | 1103.61 | − | 564.684i | 1.59944 | − | 0.818382i | ||||
\(691\) | −442.514 | − | 609.068i | −0.640397 | − | 0.881430i | 0.358240 | − | 0.933630i | \(-0.383377\pi\) |
−0.998637 | + | 0.0521991i | \(0.983377\pi\) | |||||||
\(692\) | 208.789 | − | 149.285i | 0.301719 | − | 0.215730i | ||||
\(693\) | 101.869 | + | 299.135i | 0.146997 | + | 0.431653i | ||||
\(694\) | 108.237 | + | 178.141i | 0.155961 | + | 0.256687i | ||||
\(695\) | 122.412 | − | 167.943i | 0.176133 | − | 0.241644i | ||||
\(696\) | −399.937 | − | 205.978i | −0.574622 | − | 0.295945i | ||||
\(697\) | 15.3848 | − | 30.1943i | 0.0220729 | − | 0.0433204i | ||||
\(698\) | −455.231 | − | 281.349i | −0.652193 | − | 0.403079i | ||||
\(699\) | 17.4206 | − | 74.8783i | 0.0249222 | − | 0.107122i | ||||
\(700\) | 385.513 | + | 129.823i | 0.550732 | + | 0.185461i | ||||
\(701\) | 491.847i | 0.701637i | 0.936444 | + | 0.350818i | \(0.114097\pi\) | ||||
−0.936444 | + | 0.350818i | \(0.885903\pi\) | |||||||
\(702\) | 385.150 | + | 1119.10i | 0.548647 | + | 1.59416i | ||||
\(703\) | −565.996 | + | 1110.83i | −0.805115 | + | 1.58013i | ||||
\(704\) | −381.619 | − | 399.414i | −0.542072 | − | 0.567350i | ||||
\(705\) | −148.340 | + | 62.4019i | −0.210411 | + | 0.0885133i | ||||
\(706\) | 517.170 | + | 851.183i | 0.732536 | + | 1.20564i | ||||
\(707\) | 490.525 | + | 490.525i | 0.693811 | + | 0.693811i | ||||
\(708\) | −119.344 | − | 288.580i | −0.168566 | − | 0.407599i | ||||
\(709\) | 621.642 | + | 855.616i | 0.876786 | + | 1.20679i | 0.977301 | + | 0.211857i | \(0.0679512\pi\) |
−0.100514 | + | 0.994936i | \(0.532049\pi\) | |||||||
\(710\) | 151.955 | − | 618.391i | 0.214021 | − | 0.870973i | ||||
\(711\) | 947.486 | − | 499.679i | 1.33261 | − | 0.702784i | ||||
\(712\) | −257.256 | − | 224.835i | −0.361315 | − | 0.315780i | ||||
\(713\) | 152.811 | + | 24.2029i | 0.214321 | + | 0.0339452i | ||||
\(714\) | 0.350506 | + | 108.289i | 0.000490905 | + | 0.151665i | ||||
\(715\) | 667.816 | + | 669.871i | 0.934008 | + | 0.936883i | ||||
\(716\) | −107.433 | − | 109.078i | −0.150047 | − | 0.152343i | ||||
\(717\) | −97.4204 | − | 393.569i | −0.135872 | − | 0.548911i | ||||
\(718\) | 286.747 | − | 21.4724i | 0.399369 | − | 0.0299058i | ||||
\(719\) | −727.382 | − | 236.341i | −1.01166 | − | 0.328708i | −0.244143 | − | 0.969739i | \(-0.578507\pi\) |
−0.767514 | + | 0.641032i | \(0.778507\pi\) | |||||||
\(720\) | −328.576 | + | 640.654i | −0.456356 | + | 0.889797i | ||||
\(721\) | 33.9477 | + | 104.480i | 0.0470842 | + | 0.144910i | ||||
\(722\) | −1461.17 | + | 598.747i | −2.02378 | + | 0.829290i | ||||
\(723\) | 5.37715 | − | 75.0701i | 0.00743727 | − | 0.103831i | ||||
\(724\) | 1056.47 | − | 159.114i | 1.45921 | − | 0.219771i | ||||
\(725\) | 143.437 | + | 446.115i | 0.197845 | + | 0.615331i | ||||
\(726\) | 225.169 | − | 164.711i | 0.310150 | − | 0.226875i | ||||
\(727\) | 541.393 | − | 85.7482i | 0.744695 | − | 0.117948i | 0.227455 | − | 0.973789i | \(-0.426960\pi\) |
0.517240 | + | 0.855841i | \(0.326960\pi\) | |||||||
\(728\) | −365.718 | − | 612.345i | −0.502360 | − | 0.841134i | ||||
\(729\) | 358.068 | + | 635.003i | 0.491177 | + | 0.871060i | ||||
\(730\) | 4.15904 | + | 1.74878i | 0.00569732 | + | 0.00239558i | ||||
\(731\) | −14.8241 | + | 45.6238i | −0.0202792 | + | 0.0624129i | ||||
\(732\) | −488.951 | − | 573.137i | −0.667965 | − | 0.782974i | ||||
\(733\) | −496.948 | − | 975.316i | −0.677965 | − | 1.33058i | −0.931672 | − | 0.363300i | \(-0.881650\pi\) |
0.253707 | − | 0.967281i | \(-0.418350\pi\) | |||||||
\(734\) | −1159.80 | − | 95.7107i | −1.58011 | − | 0.130396i | ||||
\(735\) | 314.105 | − | 371.890i | 0.427353 | − | 0.505972i | ||||
\(736\) | −669.390 | − | 1140.39i | −0.909498 | − | 1.54944i | ||||
\(737\) | 49.9611 | − | 315.442i | 0.0677898 | − | 0.428008i | ||||
\(738\) | 33.4659 | + | 133.347i | 0.0453468 | + | 0.180687i | ||||
\(739\) | 494.995 | + | 359.635i | 0.669817 | + | 0.486650i | 0.869964 | − | 0.493115i | \(-0.164142\pi\) |
−0.200147 | + | 0.979766i | \(0.564142\pi\) | |||||||
\(740\) | 701.164 | − | 220.765i | 0.947518 | − | 0.298331i | ||||
\(741\) | 2054.44 | − | 867.956i | 2.77252 | − | 1.17133i | ||||
\(742\) | −550.104 | − | 134.279i | −0.741381 | − | 0.180970i | ||||
\(743\) | −438.154 | + | 438.154i | −0.589709 | + | 0.589709i | −0.937553 | − | 0.347843i | \(-0.886914\pi\) |
0.347843 | + | 0.937553i | \(0.386914\pi\) | |||||||
\(744\) | −80.2407 | + | 40.4453i | −0.107850 | + | 0.0543620i | ||||
\(745\) | 1.61679 | − | 1052.29i | 0.00217019 | − | 1.41246i | ||||
\(746\) | −141.973 | + | 339.106i | −0.190312 | + | 0.454566i | ||||
\(747\) | 648.830 | − | 485.493i | 0.868581 | − | 0.649923i | ||||
\(748\) | −146.043 | + | 46.2291i | −0.195244 | + | 0.0618036i | ||||
\(749\) | −679.080 | −0.906650 | ||||||||
\(750\) | 713.610 | − | 230.783i | 0.951480 | − | 0.307711i | ||||
\(751\) | − | 488.633i | − | 0.650642i | −0.945604 | − | 0.325321i | \(-0.894528\pi\) | ||
0.945604 | − | 0.325321i | \(-0.105472\pi\) | |||||||
\(752\) | 75.6000 | + | 154.116i | 0.100532 | + | 0.204941i | ||||
\(753\) | 134.464 | − | 159.698i | 0.178571 | − | 0.212082i | ||||
\(754\) | 317.308 | − | 757.898i | 0.420833 | − | 1.00517i | ||||
\(755\) | 190.144 | + | 0.292148i | 0.251846 | + | 0.000386950i | ||||
\(756\) | −289.807 | − | 330.183i | −0.383342 | − | 0.436750i | ||||
\(757\) | 801.946 | + | 801.946i | 1.05937 | + | 1.05937i | 0.998122 | + | 0.0612511i | \(0.0195090\pi\) |
0.0612511 | + | 0.998122i | \(0.480491\pi\) | |||||||
\(758\) | 466.464 | + | 113.863i | 0.615388 | + | 0.150215i | ||||
\(759\) | −985.682 | + | 416.429i | −1.29866 | + | 0.548655i | ||||
\(760\) | 1246.69 | + | 535.380i | 1.64038 | + | 0.704447i | ||||
\(761\) | −533.698 | + | 734.573i | −0.701312 | + | 0.965273i | 0.298629 | + | 0.954369i | \(0.403471\pi\) |
−0.999941 | + | 0.0109037i | \(0.996529\pi\) | |||||||
\(762\) | 128.800 | + | 250.774i | 0.169029 | + | 0.329100i | ||||
\(763\) | −329.757 | − | 52.2283i | −0.432184 | − | 0.0684513i | ||||
\(764\) | −1144.09 | − | 593.931i | −1.49751 | − | 0.777397i | ||||
\(765\) | 119.369 | + | 160.042i | 0.156038 | + | 0.209205i | ||||
\(766\) | 276.963 | + | 22.8558i | 0.361570 | + | 0.0298379i | ||||
\(767\) | 508.198 | − | 258.940i | 0.662579 | − | 0.337601i | ||||
\(768\) | 702.487 | + | 310.380i | 0.914697 | + | 0.404141i | ||||
\(769\) | −121.506 | − | 39.4798i | −0.158006 | − | 0.0513391i | 0.228946 | − | 0.973439i | \(-0.426472\pi\) |
−0.386952 | + | 0.922100i | \(0.626472\pi\) | |||||||
\(770\) | −323.668 | − | 136.095i | −0.420349 | − | 0.176746i | ||||
\(771\) | −114.071 | − | 1329.76i | −0.147952 | − | 1.72472i | ||||
\(772\) | 71.9646 | + | 23.9884i | 0.0932184 | + | 0.0310730i | ||||
\(773\) | −40.0539 | − | 252.891i | −0.0518162 | − | 0.327155i | −0.999957 | − | 0.00930318i | \(-0.997039\pi\) |
0.948141 | − | 0.317851i | \(-0.102961\pi\) | |||||||
\(774\) | −76.3208 | − | 179.032i | −0.0986057 | − | 0.231307i | ||||
\(775\) | 88.9312 | + | 29.1979i | 0.114750 | + | 0.0376747i | ||||
\(776\) | −697.910 | + | 1110.30i | −0.899368 | + | 1.43080i | ||||
\(777\) | −32.0461 | + | 447.393i | −0.0412433 | + | 0.575796i | ||||
\(778\) | −100.329 | + | 41.1121i | −0.128958 | + | 0.0528433i | ||||
\(779\) | 246.396 | − | 80.0588i | 0.316298 | − | 0.102771i | ||||
\(780\) | −1213.87 | − | 505.785i | −1.55624 | − | 0.648442i | ||||
\(781\) | −169.849 | + | 522.742i | −0.217476 | + | 0.669324i | ||||
\(782\) | −365.659 | + | 27.3815i | −0.467594 | + | 0.0350147i | ||||
\(783\) | 107.736 | − | 494.495i | 0.137594 | − | 0.631539i | ||||
\(784\) | −415.392 | − | 311.547i | −0.529837 | − | 0.397381i | ||||
\(785\) | −648.379 | + | 646.389i | −0.825960 | + | 0.823426i | ||||
\(786\) | −564.578 | + | 1.82741i | −0.718293 | + | 0.00232495i | ||||
\(787\) | 166.524 | − | 1051.39i | 0.211594 | − | 1.33595i | −0.621759 | − | 0.783209i | \(-0.713582\pi\) |
0.833353 | − | 0.552742i | \(-0.186418\pi\) | |||||||
\(788\) | 5.87655 | − | 773.873i | 0.00745755 | − | 0.982072i | ||||
\(789\) | −523.395 | − | 604.160i | −0.663365 | − | 0.765728i | ||||
\(790\) | −284.013 | + | 1155.81i | −0.359510 | + | 1.46305i | ||||
\(791\) | 471.232 | − | 342.370i | 0.595742 | − | 0.432832i | ||||
\(792\) | 323.297 | − | 530.757i | 0.408203 | − | 0.670147i | ||||
\(793\) | 972.954 | − | 972.954i | 1.22693 | − | 1.22693i | ||||
\(794\) | 360.655 | + | 593.583i | 0.454226 | + | 0.747586i | ||||
\(795\) | −962.339 | + | 404.826i | −1.21049 | + | 0.509215i | ||||
\(796\) | 344.866 | + | 689.736i | 0.433249 | + | 0.866502i | ||||
\(797\) | 675.713 | + | 344.293i | 0.847821 | + | 0.431986i | 0.823228 | − | 0.567711i | \(-0.192171\pi\) |
0.0245931 | + | 0.999698i | \(0.492171\pi\) | |||||||
\(798\) | −583.502 | + | 587.291i | −0.731205 | + | 0.735954i | ||||
\(799\) | 47.6011 | 0.0595758 | ||||||||
\(800\) | −289.771 | − | 745.676i | −0.362214 | − | 0.932095i | ||||
\(801\) | 169.664 | − | 344.895i | 0.211816 | − | 0.430580i | ||||
\(802\) | −1309.01 | − | 809.016i | −1.63219 | − | 1.00875i | ||||
\(803\) | −3.46986 | − | 1.76798i | −0.00432113 | − | 0.00220172i | ||||
\(804\) | 103.411 | + | 431.801i | 0.128620 | + | 0.537066i | ||||
\(805\) | −679.200 | − | 495.064i | −0.843727 | − | 0.614987i | ||||
\(806\) | −85.2196 | − | 140.258i | −0.105732 | − | 0.174018i | ||||
\(807\) | −451.603 | − | 725.446i | −0.559607 | − | 0.898942i | ||||
\(808\) | 122.524 | − | 1358.76i | 0.151638 | − | 1.68163i | ||||
\(809\) | −82.4370 | + | 59.8940i | −0.101900 | + | 0.0740346i | −0.637568 | − | 0.770394i | \(-0.720060\pi\) |
0.535669 | + | 0.844428i | \(0.320060\pi\) | |||||||
\(810\) | −791.726 | − | 171.085i | −0.977439 | − | 0.211216i | ||||
\(811\) | 442.558 | − | 609.129i | 0.545695 | − | 0.751084i | −0.443725 | − | 0.896163i | \(-0.646343\pi\) |
0.989420 | + | 0.145078i | \(0.0463434\pi\) | |||||||
\(812\) | −2.31597 | + | 304.987i | −0.00285218 | + | 0.375599i | ||||
\(813\) | 200.385 | − | 493.563i | 0.246476 | − | 0.607089i | ||||
\(814\) | −617.527 | + | 145.778i | −0.758632 | + | 0.179088i | ||||
\(815\) | −183.074 | + | 1144.50i | −0.224631 | + | 1.40430i | ||||
\(816\) | 163.063 | − | 136.985i | 0.199832 | − | 0.167874i | ||||
\(817\) | −326.775 | + | 166.500i | −0.399969 | + | 0.203795i | ||||
\(818\) | −1117.43 | + | 83.6759i | −1.36605 | + | 0.102293i | ||||
\(819\) | 559.344 | − | 575.307i | 0.682960 | − | 0.702450i | ||||
\(820\) | −135.470 | − | 70.5907i | −0.165207 | − | 0.0860862i | ||||
\(821\) | 316.027 | − | 102.683i | 0.384929 | − | 0.125071i | −0.110158 | − | 0.993914i | \(-0.535136\pi\) |
0.495088 | + | 0.868843i | \(0.335136\pi\) | |||||||
\(822\) | −358.053 | + | 57.8987i | −0.435588 | + | 0.0704364i | ||||
\(823\) | −0.170606 | − | 1.07716i | −0.000207297 | − | 0.00130882i | 0.987584 | − | 0.157089i | \(-0.0502109\pi\) |
−0.987792 | + | 0.155780i | \(0.950211\pi\) | |||||||
\(824\) | 114.977 | − | 182.915i | 0.139535 | − | 0.221984i | ||||
\(825\) | −628.873 | + | 153.616i | −0.762271 | + | 0.186201i | ||||
\(826\) | −138.112 | + | 160.471i | −0.167206 | + | 0.194274i | ||||
\(827\) | 158.702 | + | 1002.00i | 0.191901 | + | 1.21161i | 0.876031 | + | 0.482254i | \(0.160182\pi\) |
−0.684131 | + | 0.729359i | \(0.739818\pi\) | |||||||
\(828\) | 1045.08 | − | 1058.70i | 1.26217 | − | 1.27862i | ||||
\(829\) | −632.907 | + | 205.644i | −0.763458 | + | 0.248063i | −0.664762 | − | 0.747055i | \(-0.731467\pi\) |
−0.0986958 | + | 0.995118i | \(0.531467\pi\) | |||||||
\(830\) | −75.4308 | + | 897.235i | −0.0908805 | + | 1.08101i | ||||
\(831\) | 681.133 | + | 410.837i | 0.819655 | + | 0.494389i | ||||
\(832\) | −463.732 | + | 1323.82i | −0.557370 | + | 1.59113i | ||||
\(833\) | −128.292 | + | 65.3681i | −0.154012 | + | 0.0784731i | ||||
\(834\) | 76.2962 | − | 237.428i | 0.0914822 | − | 0.284685i | ||||
\(835\) | −288.332 | − | 568.040i | −0.345308 | − | 0.680287i | ||||
\(836\) | −1039.40 | − | 539.582i | −1.24330 | − | 0.645433i | ||||
\(837\) | −67.2598 | − | 75.4670i | −0.0803582 | − | 0.0901637i | ||||
\(838\) | 913.756 | − | 774.441i | 1.09040 | − | 0.924154i | ||||
\(839\) | 624.055 | − | 858.938i | 0.743808 | − | 1.02376i | −0.254583 | − | 0.967051i | \(-0.581938\pi\) |
0.998391 | − | 0.0567127i | \(-0.0180619\pi\) | |||||||
\(840\) | 488.133 | + | 2.87671i | 0.581111 | + | 0.00342466i | ||||
\(841\) | 396.137 | − | 287.810i | 0.471031 | − | 0.342224i | ||||
\(842\) | 938.106 | + | 228.990i | 1.11414 | + | 0.271959i | ||||
\(843\) | −270.047 | + | 168.109i | −0.320340 | + | 0.199418i | ||||
\(844\) | 117.607 | + | 19.5436i | 0.139344 | + | 0.0231560i | ||||
\(845\) | 483.351 | − | 1479.86i | 0.572013 | − | 1.75131i | ||||
\(846\) | −145.551 | + | 126.921i | −0.172047 | + | 0.150025i | ||||
\(847\) | −168.527 | − | 85.8690i | −0.198970 | − | 0.101380i | ||||
\(848\) | 490.447 | + | 999.808i | 0.578357 | + | 1.17902i | ||||
\(849\) | −177.608 | + | 763.404i | −0.209196 | + | 0.899180i | ||||
\(850\) | −221.031 | − | 18.9242i | −0.260036 | − | 0.0222637i | ||||
\(851\) | −1518.82 | −1.78475 | ||||||||
\(852\) | −59.5274 | − | 761.822i | −0.0698679 | − | 0.894157i | ||||
\(853\) | 771.471 | + | 393.084i | 0.904421 | + | 0.460826i | 0.843385 | − | 0.537310i | \(-0.180559\pi\) |
0.0610365 | + | 0.998136i | \(0.480559\pi\) | |||||||
\(854\) | −197.251 | + | 471.138i | −0.230973 | + | 0.551683i | ||||
\(855\) | −219.870 | + | 1510.47i | −0.257158 | + | 1.76663i | ||||
\(856\) | 855.720 | + | 1025.34i | 0.999673 | + | 1.19783i | ||||
\(857\) | −609.016 | + | 609.016i | −0.710637 | + | 0.710637i | −0.966669 | − | 0.256031i | \(-0.917585\pi\) |
0.256031 | + | 0.966669i | \(0.417585\pi\) | |||||||
\(858\) | 1013.01 | + | 512.033i | 1.18067 | + | 0.596775i | ||||
\(859\) | 985.206 | − | 715.794i | 1.14692 | − | 0.833287i | 0.158853 | − | 0.987302i | \(-0.449220\pi\) |
0.988069 | + | 0.154015i | \(0.0492204\pi\) | |||||||
\(860\) | 205.043 | + | 68.6983i | 0.238422 | + | 0.0798818i | ||||
\(861\) | 70.4497 | − | 61.0319i | 0.0818232 | − | 0.0708849i | ||||
\(862\) | 273.048 | + | 322.167i | 0.316761 | + | 0.373743i | ||||
\(863\) | 36.3169 | − | 229.296i | 0.0420821 | − | 0.265696i | −0.957672 | − | 0.287861i | \(-0.907056\pi\) |
0.999754 | + | 0.0221650i | \(0.00705591\pi\) | |||||||
\(864\) | −133.353 | + | 853.647i | −0.154343 | + | 0.988017i | ||||
\(865\) | −316.963 | + | 49.7029i | −0.366431 | + | 0.0574600i | ||||
\(866\) | −183.403 | − | 15.1350i | −0.211782 | − | 0.0174769i | ||||
\(867\) | 194.132 | + | 784.275i | 0.223912 | + | 0.904585i | ||||
\(868\) | 49.0130 | + | 36.1818i | 0.0564665 | + | 0.0416841i | ||||
\(869\) | 317.458 | − | 977.035i | 0.365314 | − | 1.12432i | ||||
\(870\) | 331.301 | + | 454.371i | 0.380806 | + | 0.522265i | ||||
\(871\) | −771.262 | + | 250.598i | −0.885490 | + | 0.287713i | ||||
\(872\) | 336.672 | + | 563.712i | 0.386092 | + | 0.646459i | ||||
\(873\) | −1409.42 | − | 436.127i | −1.61446 | − | 0.499573i | ||||
\(874\) | −2124.73 | − | 1828.69i | −2.43105 | − | 2.09232i | ||||
\(875\) | −357.889 | − | 361.204i | −0.409016 | − | 0.412804i | ||||
\(876\) | 5.39717 | + | 0.427808i | 0.00616115 | + | 0.000488365i | ||||
\(877\) | 85.7198 | + | 541.213i | 0.0977420 | + | 0.617119i | 0.987124 | + | 0.159955i | \(0.0511348\pi\) |
−0.889382 | + | 0.457164i | \(0.848865\pi\) | |||||||
\(878\) | 1247.57 | − | 511.220i | 1.42092 | − | 0.582256i | ||||
\(879\) | 453.341 | − | 38.8889i | 0.515747 | − | 0.0442422i | ||||
\(880\) | 202.371 | + | 660.201i | 0.229967 | + | 0.750228i | ||||
\(881\) | −1274.78 | − | 414.200i | −1.44697 | − | 0.470148i | −0.522904 | − | 0.852391i | \(-0.675151\pi\) |
−0.924062 | + | 0.382244i | \(0.875151\pi\) | |||||||
\(882\) | 217.989 | − | 541.949i | 0.247153 | − | 0.614454i | ||||
\(883\) | −1376.77 | + | 701.498i | −1.55919 | + | 0.794448i | −0.999415 | − | 0.0341946i | \(-0.989113\pi\) |
−0.559778 | + | 0.828643i | \(0.689113\pi\) | |||||||
\(884\) | 272.944 | + | 277.121i | 0.308761 | + | 0.313486i | ||||
\(885\) | −28.4873 | + | 389.315i | −0.0321890 | + | 0.439904i | ||||
\(886\) | −38.9759 | − | 165.105i | −0.0439909 | − | 0.186349i | ||||
\(887\) | −1293.58 | − | 204.884i | −1.45838 | − | 0.230985i | −0.623677 | − | 0.781682i | \(-0.714362\pi\) |
−0.834705 | + | 0.550697i | \(0.814362\pi\) | |||||||
\(888\) | 715.899 | − | 515.381i | 0.806193 | − | 0.580384i | ||||
\(889\) | 112.345 | − | 154.629i | 0.126372 | − | 0.173936i | ||||
\(890\) | 161.328 | + | 395.432i | 0.181267 | + | 0.444305i | ||||
\(891\) | 670.748 | + | 197.260i | 0.752804 | + | 0.221391i | ||||
\(892\) | 228.491 | − | 163.372i | 0.256155 | − | 0.183152i | ||||
\(893\) | 257.326 | + | 257.326i | 0.288159 | + | 0.288159i | ||||
\(894\) | −394.094 | − | 1199.67i | −0.440821 | − | 1.34191i | ||||
\(895\) | 58.8587 | + | 182.100i | 0.0657640 | + | 0.203464i | ||||
\(896\) | −27.0439 | − | 519.982i | −0.0301829 | − | 0.580337i | ||||
\(897\) | 2078.41 | + | 1750.00i | 2.31707 | + | 1.95095i | ||||
\(898\) | 289.727 | − | 468.787i | 0.322636 | − | 0.522035i | ||||
\(899\) | 70.1799i | 0.0780644i | ||||||||
\(900\) | 726.312 | − | 531.480i | 0.807013 | − | 0.590533i | ||||
\(901\) | 308.807 | 0.342738 | ||||||||
\(902\) | 112.161 | + | 69.3197i | 0.124347 | + | 0.0768511i | ||||
\(903\) | −84.9855 | + | 100.934i | −0.0941146 | + | 0.111777i | ||||
\(904\) | −1110.75 | − | 280.086i | −1.22870 | − | 0.309829i | ||||
\(905\) | −1269.48 | − | 414.636i | −1.40274 | − | 0.458161i | ||||
\(906\) | 216.776 | − | 71.2112i | 0.239267 | − | 0.0785996i | ||||
\(907\) | 326.617 | − | 326.617i | 0.360107 | − | 0.360107i | −0.503746 | − | 0.863852i | \(-0.668045\pi\) |
0.863852 | + | 0.503746i | \(0.168045\pi\) | |||||||
\(908\) | 192.335 | − | 137.520i | 0.211823 | − | 0.151454i | ||||
\(909\) | 1512.38 | − | 261.397i | 1.66379 | − | 0.287565i | ||||
\(910\) | 65.2094 | + | 889.166i | 0.0716586 | + | 0.977106i | ||||
\(911\) | −651.010 | − | 472.986i | −0.714610 | − | 0.519195i | 0.170048 | − | 0.985436i | \(-0.445608\pi\) |
−0.884658 | + | 0.466241i | \(0.845608\pi\) | |||||||
\(912\) | 1622.03 | + | 140.973i | 1.77854 | + | 0.154575i | ||||
\(913\) | 121.578 | − | 767.613i | 0.133163 | − | 0.840759i | ||||
\(914\) | −115.112 | + | 27.1740i | −0.125943 | + | 0.0297309i | ||||
\(915\) | 224.867 | + | 914.465i | 0.245757 | + | 0.999415i | ||||
\(916\) | 489.274 | + | 496.762i | 0.534142 | + | 0.542316i | ||||
\(917\) | 173.775 | + | 341.052i | 0.189503 | + | 0.371922i | ||||
\(918\) | 196.237 | + | 137.451i | 0.213766 | + | 0.149728i | ||||
\(919\) | 336.612 | − | 1035.98i | 0.366281 | − | 1.12730i | −0.582895 | − | 0.812548i | \(-0.698080\pi\) |
0.949175 | − | 0.314748i | \(-0.101920\pi\) | |||||||
\(920\) | 108.375 | + | 1649.36i | 0.117799 | + | 1.79278i | ||||
\(921\) | −16.6890 | − | 194.550i | −0.0181206 | − | 0.211238i | ||||
\(922\) | −1.23994 | − | 3.02591i | −0.00134483 | − | 0.00328190i | ||||
\(923\) | 1378.47 | − | 218.328i | 1.49347 | − | 0.236542i | ||||
\(924\) | −420.023 | − | 33.2932i | −0.454570 | − | 0.0360316i | ||||
\(925\) | −907.112 | − | 146.531i | −0.980662 | − | 0.158412i | ||||
\(926\) | −344.121 | + | 399.830i | −0.371621 | + | 0.431782i | ||||
\(927\) | 232.194 | + | 71.8494i | 0.250479 | + | 0.0775074i | ||||
\(928\) | 463.417 | − | 380.822i | 0.499372 | − | 0.410368i | ||||
\(929\) | −337.899 | − | 1039.95i | −0.363723 | − | 1.11943i | −0.950777 | − | 0.309877i | \(-0.899712\pi\) |
0.587053 | − | 0.809548i | \(-0.300288\pi\) | |||||||
\(930\) | 112.322 | − | 0.190982i | 0.120776 | − | 0.000205357i | ||||
\(931\) | −1046.91 | − | 340.160i | −1.12450 | − | 0.365371i | ||||
\(932\) | 82.4676 | + | 60.8783i | 0.0884846 | + | 0.0653201i | ||||
\(933\) | −1192.24 | + | 295.115i | −1.27785 | + | 0.316307i | ||||
\(934\) | −28.9019 | + | 350.228i | −0.0309442 | + | 0.374976i | ||||
\(935\) | 189.077 | + | 30.2448i | 0.202222 | + | 0.0323474i | ||||
\(936\) | −1573.49 | − | 119.599i | −1.68108 | − | 0.127777i | ||||
\(937\) | −18.0562 | − | 2.85981i | −0.0192702 | − | 0.00305210i | 0.146792 | − | 0.989167i | \(-0.453105\pi\) |
−0.166062 | + | 0.986115i | \(0.553105\pi\) | |||||||
\(938\) | 229.644 | − | 194.632i | 0.244823 | − | 0.207496i | ||||
\(939\) | −831.947 | − | 960.325i | −0.885993 | − | 1.02271i | ||||
\(940\) | 1.95904 | − | 214.565i | 0.00208408 | − | 0.228261i | ||||
\(941\) | 592.952 | + | 816.128i | 0.630129 | + | 0.867299i | 0.998041 | − | 0.0625620i | \(-0.0199271\pi\) |
−0.367912 | + | 0.929861i | \(0.619927\pi\) | |||||||
\(942\) | −495.605 | + | 980.512i | −0.526120 | + | 1.04088i | ||||
\(943\) | 223.178 | + | 223.178i | 0.236668 | + | 0.236668i | ||||
\(944\) | 416.331 | + | 6.32334i | 0.441029 | + | 0.00669845i | ||||
\(945\) | 138.621 | + | 531.376i | 0.146688 | + | 0.562303i | ||||
\(946\) | −172.172 | − | 72.0830i | −0.182000 | − | 0.0761976i | ||||
\(947\) | 703.380 | − | 1380.46i | 0.742745 | − | 1.45772i | −0.141127 | − | 0.989991i | \(-0.545073\pi\) |
0.883873 | − | 0.467728i | \(-0.154927\pi\) | |||||||
\(948\) | 111.260 | + | 1423.89i | 0.117363 | + | 1.50199i | ||||
\(949\) | 9.88844i | 0.0104199i | ||||||||
\(950\) | −1092.57 | − | 1297.17i | −1.15007 | − | 1.36544i | ||||
\(951\) | 522.523 | + | 121.566i | 0.549446 | + | 0.127830i | ||||
\(952\) | −132.757 | − | 56.7698i | −0.139451 | − | 0.0596321i | ||||
\(953\) | 77.2438 | − | 151.600i | 0.0810533 | − | 0.159076i | −0.846923 | − | 0.531716i | \(-0.821547\pi\) |
0.927976 | + | 0.372640i | \(0.121547\pi\) | |||||||
\(954\) | −944.249 | + | 823.386i | −0.989779 | + | 0.863088i | ||||
\(955\) | 945.118 | + | 1305.06i | 0.989652 | + | 1.36655i | ||||
\(956\) | 533.283 | + | 88.6200i | 0.557828 | + | 0.0926987i | ||||
\(957\) | −256.512 | − | 412.056i | −0.268038 | − | 0.430570i | ||||
\(958\) | −292.804 | + | 1199.54i | −0.305641 | + | 1.25213i | ||||
\(959\) | 144.539 | + | 198.941i | 0.150718 | + | 0.207446i | ||||
\(960\) | −610.761 | − | 740.656i | −0.636209 | − | 0.771517i | ||||
\(961\) | −766.124 | − | 556.622i | −0.797216 | − | 0.579211i | ||||
\(962\) | 1041.68 | + | 1229.07i | 1.08283 | + | 1.27762i | ||||
\(963\) | −865.931 | + | 1227.81i | −0.899201 | + | 1.27498i | ||||
\(964\) | 89.0639 | + | 46.2355i | 0.0923899 | + | 0.0479622i | ||||
\(965\) | −66.9460 | − | 67.1521i | −0.0693741 | − | 0.0695876i | ||||
\(966\) | −960.213 | − | 308.560i | −0.994010 | − | 0.319420i | ||||
\(967\) | 20.9242 | + | 41.0661i | 0.0216383 | + | 0.0424675i | 0.901573 | − | 0.432628i | \(-0.142414\pi\) |
−0.879934 | + | 0.475095i | \(0.842414\pi\) | |||||||
\(968\) | 82.7107 | + | 362.664i | 0.0854449 | + | 0.374653i | ||||
\(969\) | 233.186 | − | 386.603i | 0.240646 | − | 0.398971i | ||||
\(970\) | 1402.27 | − | 849.056i | 1.44564 | − | 0.875316i | ||||
\(971\) | −133.060 | − | 409.516i | −0.137034 | − | 0.421747i | 0.858867 | − | 0.512199i | \(-0.171169\pi\) |
−0.995901 | + | 0.0904518i | \(0.971169\pi\) | |||||||
\(972\) | −966.533 | + | 102.949i | −0.994375 | + | 0.105915i | ||||
\(973\) | −166.995 | + | 26.4494i | −0.171629 | + | 0.0271834i | ||||
\(974\) | 1150.17 | + | 989.917i | 1.18088 | + | 1.01634i | ||||
\(975\) | 1072.49 | + | 1245.70i | 1.09999 | + | 1.27765i | ||||
\(976\) | 959.928 | − | 295.860i | 0.983532 | − | 0.303135i | ||||
\(977\) | 321.029 | − | 50.8460i | 0.328587 | − | 0.0520430i | 0.0100382 | − | 0.999950i | \(-0.496805\pi\) |
0.318548 | + | 0.947907i | \(0.396805\pi\) | |||||||
\(978\) | 222.024 | + | 1373.03i | 0.227019 | + | 1.40391i | ||||
\(979\) | −113.913 | − | 350.588i | −0.116356 | − | 0.358108i | ||||
\(980\) | 289.371 | + | 580.976i | 0.295277 | + | 0.592833i | ||||
\(981\) | −514.921 | + | 529.615i | −0.524894 | + | 0.539873i | ||||
\(982\) | −55.6186 | − | 742.744i | −0.0566381 | − | 0.756359i | ||||
\(983\) | −571.949 | − | 1122.51i | −0.581841 | − | 1.14193i | −0.974948 | − | 0.222434i | \(-0.928600\pi\) |
0.393107 | − | 0.919493i | \(-0.371400\pi\) | |||||||
\(984\) | −180.927 | − | 29.4646i | −0.183869 | − | 0.0299437i | ||||
\(985\) | −440.500 | + | 861.256i | −0.447208 | + | 0.874372i | ||||
\(986\) | −38.2144 | − | 161.880i | −0.0387570 | − | 0.164178i | ||||
\(987\) | 121.311 | + | 49.2521i | 0.122909 | + | 0.0499008i | ||||
\(988\) | −22.5806 | + | 2973.60i | −0.0228548 | + | 3.00971i | ||||
\(989\) | −361.464 | − | 262.619i | −0.365484 | − | 0.265540i | ||||
\(990\) | −658.791 | + | 411.665i | −0.665446 | + | 0.415823i | ||||
\(991\) | −410.695 | − | 565.273i | −0.414424 | − | 0.570406i | 0.549866 | − | 0.835253i | \(-0.314679\pi\) |
−0.964291 | + | 0.264847i | \(0.914679\pi\) | |||||||
\(992\) | −7.13119 | − | 119.598i | −0.00718870 | − | 0.120562i | ||||
\(993\) | 191.831 | − | 119.418i | 0.193183 | − | 0.120260i | ||||
\(994\) | −442.752 | + | 269.012i | −0.445425 | + | 0.270636i | ||||
\(995\) | 1.48104 | − | 963.933i | 0.00148848 | − | 0.968776i | ||||
\(996\) | 251.645 | + | 1050.77i | 0.252655 | + | 1.05499i | ||||
\(997\) | −711.397 | + | 1396.19i | −0.713537 | + | 1.40040i | 0.194245 | + | 0.980953i | \(0.437774\pi\) |
−0.907782 | + | 0.419443i | \(0.862226\pi\) | |||||||
\(998\) | 87.9186 | − | 142.255i | 0.0880947 | − | 0.142540i | ||||
\(999\) | 768.043 | + | 628.435i | 0.768812 | + | 0.629064i |
(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 | 300.3.u.a.287.80 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.37 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.91 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.26 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.26 | ✓ | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.91 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.37 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.80 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.26 | ✓ | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.37 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.80 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.91 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.287.26 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.37 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.80 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.91 | yes | 928 | 4.3 | odd | 2 | inner |