Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 269.1 | ||
Root | \(-1.92464 - 0.625353i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.269 |
Dual form | 605.2.j.g.9.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92464 | + | 0.625353i | −1.36092 | + | 0.442191i | −0.896352 | − | 0.443344i | \(-0.853792\pi\) |
−0.464572 | + | 0.885535i | \(0.653792\pi\) | |||||||
\(3\) | 1.54035 | − | 2.12011i | 0.889320 | − | 1.22404i | −0.0844316 | − | 0.996429i | \(-0.526907\pi\) |
0.973751 | − | 0.227614i | \(-0.0730925\pi\) | |||||||
\(4\) | 1.69513 | − | 1.23158i | 0.847564 | − | 0.615791i | ||||
\(5\) | 2.01689 | + | 0.965471i | 0.901983 | + | 0.431772i | ||||
\(6\) | −1.63880 | + | 5.04369i | −0.669035 | + | 2.05908i | ||||
\(7\) | 0.567697 | + | 0.781367i | 0.214569 | + | 0.295329i | 0.902711 | − | 0.430247i | \(-0.141573\pi\) |
−0.688142 | + | 0.725576i | \(0.741573\pi\) | |||||||
\(8\) | −0.113351 | + | 0.156015i | −0.0400758 | + | 0.0551595i | ||||
\(9\) | −1.19513 | − | 3.67823i | −0.398376 | − | 1.22608i | ||||
\(10\) | −4.48555 | − | 0.596911i | −1.41846 | − | 0.188760i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 5.49092i | − | 1.58509i | ||||||
\(13\) | 4.30362 | − | 1.39833i | 1.19361 | − | 0.387827i | 0.356203 | − | 0.934408i | \(-0.384071\pi\) |
0.837406 | + | 0.546581i | \(0.184071\pi\) | |||||||
\(14\) | −1.58124 | − | 1.14884i | −0.422604 | − | 0.307040i | ||||
\(15\) | 5.15362 | − | 2.78887i | 1.33066 | − | 0.720083i | ||||
\(16\) | −1.17437 | + | 3.61433i | −0.293592 | + | 0.903582i | ||||
\(17\) | 3.17338 | + | 1.03109i | 0.769658 | + | 0.250077i | 0.667419 | − | 0.744683i | \(-0.267399\pi\) |
0.102239 | + | 0.994760i | \(0.467399\pi\) | |||||||
\(18\) | 4.60038 | + | 6.33188i | 1.08432 | + | 1.49244i | ||||
\(19\) | −2.65163 | − | 1.92652i | −0.608325 | − | 0.441974i | 0.240499 | − | 0.970649i | \(-0.422689\pi\) |
−0.848824 | + | 0.528675i | \(0.822689\pi\) | |||||||
\(20\) | 4.60795 | − | 0.847376i | 1.03037 | − | 0.189479i | ||||
\(21\) | 2.53103 | 0.552316 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.36643i | 0.701948i | 0.936385 | + | 0.350974i | \(0.114149\pi\) | ||||
−0.936385 | + | 0.350974i | \(0.885851\pi\) | |||||||
\(24\) | 0.156167 | + | 0.480634i | 0.0318775 | + | 0.0981089i | ||||
\(25\) | 3.13573 | + | 3.89451i | 0.627146 | + | 0.778902i | ||||
\(26\) | −7.40846 | + | 5.38256i | −1.45292 | + | 1.05561i | ||||
\(27\) | −2.16214 | − | 0.702522i | −0.416104 | − | 0.135200i | ||||
\(28\) | 1.92464 | + | 0.625353i | 0.363722 | + | 0.118181i | ||||
\(29\) | −3.97470 | + | 2.88779i | −0.738083 | + | 0.536249i | −0.892110 | − | 0.451818i | \(-0.850776\pi\) |
0.154027 | + | 0.988067i | \(0.450776\pi\) | |||||||
\(30\) | −8.17482 | + | 8.59039i | −1.49251 | + | 1.56838i | ||||
\(31\) | −0.129282 | − | 0.397889i | −0.0232197 | − | 0.0714629i | 0.938775 | − | 0.344530i | \(-0.111962\pi\) |
−0.961995 | + | 0.273067i | \(0.911962\pi\) | |||||||
\(32\) | − | 8.07636i | − | 1.42771i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.75241 | −1.15803 | ||||||||
\(35\) | 0.390597 | + | 2.12403i | 0.0660229 | + | 0.359027i | ||||
\(36\) | −6.55594 | − | 4.76317i | −1.09266 | − | 0.793861i | ||||
\(37\) | −3.72512 | − | 5.12719i | −0.612406 | − | 0.842905i | 0.384367 | − | 0.923181i | \(-0.374420\pi\) |
−0.996773 | + | 0.0802758i | \(0.974420\pi\) | |||||||
\(38\) | 6.30817 | + | 2.04965i | 1.02332 | + | 0.332497i | ||||
\(39\) | 3.66446 | − | 11.2780i | 0.586783 | − | 1.80593i | ||||
\(40\) | −0.379246 | + | 0.205228i | −0.0599640 | + | 0.0324494i | ||||
\(41\) | 4.68068 | + | 3.40071i | 0.730999 | + | 0.531102i | 0.889879 | − | 0.456196i | \(-0.150788\pi\) |
−0.158880 | + | 0.987298i | \(0.550788\pi\) | |||||||
\(42\) | −4.87132 | + | 1.58279i | −0.751660 | + | 0.244229i | ||||
\(43\) | − | 2.26205i | − | 0.344960i | −0.985013 | − | 0.172480i | \(-0.944822\pi\) | ||
0.985013 | − | 0.172480i | \(-0.0551780\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.14077 | − | 8.57246i | 0.170057 | − | 1.27791i | ||||
\(46\) | −2.10520 | − | 6.47915i | −0.310395 | − | 0.955298i | ||||
\(47\) | 2.54173 | − | 3.49838i | 0.370749 | − | 0.510292i | −0.582355 | − | 0.812934i | \(-0.697869\pi\) |
0.953104 | + | 0.302642i | \(0.0978688\pi\) | |||||||
\(48\) | 5.85383 | + | 8.05710i | 0.844927 | + | 1.16294i | ||||
\(49\) | 1.87486 | − | 5.77024i | 0.267838 | − | 0.824320i | ||||
\(50\) | −8.47058 | − | 5.53458i | −1.19792 | − | 0.782708i | ||||
\(51\) | 7.07414 | − | 5.13966i | 0.990577 | − | 0.719697i | ||||
\(52\) | 5.57303 | − | 7.67061i | 0.772840 | − | 1.06372i | ||||
\(53\) | −2.53047 | + | 0.822201i | −0.347587 | + | 0.112938i | −0.477607 | − | 0.878573i | \(-0.658496\pi\) |
0.130020 | + | 0.991511i | \(0.458496\pi\) | |||||||
\(54\) | 4.60066 | 0.626071 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.186254 | −0.0248892 | ||||||||
\(57\) | −8.16885 | + | 2.65422i | −1.08199 | + | 0.351560i | ||||
\(58\) | 5.84397 | − | 8.04353i | 0.767350 | − | 1.05617i | ||||
\(59\) | −8.19153 | + | 5.95150i | −1.06645 | + | 0.774819i | −0.975270 | − | 0.221016i | \(-0.929063\pi\) |
−0.0911765 | + | 0.995835i | \(0.529063\pi\) | |||||||
\(60\) | 5.30132 | − | 11.0746i | 0.684398 | − | 1.42972i | ||||
\(61\) | 0.763537 | − | 2.34993i | 0.0977609 | − | 0.300877i | −0.890202 | − | 0.455565i | \(-0.849437\pi\) |
0.987963 | + | 0.154688i | \(0.0494372\pi\) | |||||||
\(62\) | 0.497642 | + | 0.684945i | 0.0632005 | + | 0.0869881i | ||||
\(63\) | 2.19558 | − | 3.02195i | 0.276617 | − | 0.380730i | ||||
\(64\) | 2.70184 | + | 8.31540i | 0.337729 | + | 1.03942i | ||||
\(65\) | 10.0300 | + | 1.33473i | 1.24407 | + | 0.165553i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 9.60059i | − | 1.17290i | −0.809986 | − | 0.586449i | \(-0.800525\pi\) | ||
0.809986 | − | 0.586449i | \(-0.199475\pi\) | |||||||
\(68\) | 6.64917 | − | 2.16045i | 0.806330 | − | 0.261992i | ||||
\(69\) | 7.13718 | + | 5.18546i | 0.859215 | + | 0.624256i | ||||
\(70\) | −2.08002 | − | 3.84373i | −0.248611 | − | 0.459413i | ||||
\(71\) | −1.68510 | + | 5.18621i | −0.199985 | + | 0.615490i | 0.799897 | + | 0.600137i | \(0.204887\pi\) |
−0.999882 | + | 0.0153533i | \(0.995113\pi\) | |||||||
\(72\) | 0.709327 | + | 0.230474i | 0.0835950 | + | 0.0271617i | ||||
\(73\) | −0.843791 | − | 1.16138i | −0.0987582 | − | 0.135929i | 0.756778 | − | 0.653672i | \(-0.226772\pi\) |
−0.855536 | + | 0.517743i | \(0.826772\pi\) | |||||||
\(74\) | 10.3758 | + | 7.53847i | 1.20616 | + | 0.876329i | ||||
\(75\) | 13.0869 | − | 0.649186i | 1.51114 | − | 0.0749616i | ||||
\(76\) | −6.86752 | −0.787758 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 23.9977i | 2.71721i | ||||||||
\(79\) | 0.310240 | + | 0.954820i | 0.0349047 | + | 0.107426i | 0.966991 | − | 0.254811i | \(-0.0820132\pi\) |
−0.932086 | + | 0.362237i | \(0.882013\pi\) | |||||||
\(80\) | −5.85811 | + | 6.15591i | −0.654956 | + | 0.688251i | ||||
\(81\) | 4.56679 | − | 3.31797i | 0.507421 | − | 0.368663i | ||||
\(82\) | −11.1353 | − | 3.61806i | −1.22968 | − | 0.399548i | ||||
\(83\) | 7.03346 | + | 2.28531i | 0.772022 | + | 0.250845i | 0.668430 | − | 0.743775i | \(-0.266966\pi\) |
0.103592 | + | 0.994620i | \(0.466966\pi\) | |||||||
\(84\) | 4.29042 | − | 3.11717i | 0.468123 | − | 0.340112i | ||||
\(85\) | 5.40489 | + | 5.14342i | 0.586242 | + | 0.557882i | ||||
\(86\) | 1.41458 | + | 4.35363i | 0.152538 | + | 0.469464i | ||||
\(87\) | 12.8750i | 1.38034i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 12.1964 | 1.29282 | 0.646410 | − | 0.762991i | \(-0.276270\pi\) | ||||
0.646410 | + | 0.762991i | \(0.276270\pi\) | |||||||
\(90\) | 3.16523 | + | 17.2123i | 0.333645 | + | 1.81433i | ||||
\(91\) | 3.53576 | + | 2.56888i | 0.370648 | + | 0.269292i | ||||
\(92\) | 4.14603 | + | 5.70652i | 0.432254 | + | 0.594946i | ||||
\(93\) | −1.04271 | − | 0.338796i | −0.108124 | − | 0.0351315i | ||||
\(94\) | −2.70418 | + | 8.32259i | −0.278914 | + | 0.858410i | ||||
\(95\) | −3.48805 | − | 6.44566i | −0.357867 | − | 0.661310i | ||||
\(96\) | −17.1227 | − | 12.4404i | −1.74758 | − | 1.26969i | ||||
\(97\) | 2.87147 | − | 0.932997i | 0.291553 | − | 0.0947315i | −0.159589 | − | 0.987184i | \(-0.551017\pi\) |
0.451142 | + | 0.892452i | \(0.351017\pi\) | |||||||
\(98\) | 12.2781i | 1.24027i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 10.1119 | + | 2.73978i | 1.01119 | + | 0.273978i | ||||
\(101\) | −4.69588 | − | 14.4524i | −0.467258 | − | 1.43807i | −0.856120 | − | 0.516776i | \(-0.827132\pi\) |
0.388863 | − | 0.921296i | \(-0.372868\pi\) | |||||||
\(102\) | −10.4010 | + | 14.3158i | −1.02986 | + | 1.41748i | ||||
\(103\) | −5.72909 | − | 7.88542i | −0.564504 | − | 0.776974i | 0.427386 | − | 0.904069i | \(-0.359435\pi\) |
−0.991890 | + | 0.127096i | \(0.959435\pi\) | |||||||
\(104\) | −0.269661 | + | 0.829931i | −0.0264424 | + | 0.0813814i | ||||
\(105\) | 5.10482 | + | 2.44364i | 0.498180 | + | 0.238475i | ||||
\(106\) | 4.35608 | − | 3.16488i | 0.423100 | − | 0.307400i | ||||
\(107\) | −4.49173 | + | 6.18234i | −0.434232 | + | 0.597669i | −0.968918 | − | 0.247382i | \(-0.920430\pi\) |
0.534686 | + | 0.845051i | \(0.320430\pi\) | |||||||
\(108\) | −4.53032 | + | 1.47199i | −0.435930 | + | 0.141642i | ||||
\(109\) | −9.85576 | −0.944010 | −0.472005 | − | 0.881596i | \(-0.656470\pi\) | ||||
−0.472005 | + | 0.881596i | \(0.656470\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −16.6082 | −1.57638 | ||||||||
\(112\) | −3.49080 | + | 1.13423i | −0.329850 | + | 0.107175i | ||||
\(113\) | −2.94987 | + | 4.06014i | −0.277500 | + | 0.381946i | −0.924904 | − | 0.380201i | \(-0.875855\pi\) |
0.647404 | + | 0.762147i | \(0.275855\pi\) | |||||||
\(114\) | 14.0623 | − | 10.2168i | 1.31705 | − | 0.956893i | ||||
\(115\) | −3.25019 | + | 6.78973i | −0.303081 | + | 0.633145i | ||||
\(116\) | −3.18107 | + | 9.79034i | −0.295355 | + | 0.909010i | ||||
\(117\) | −10.2868 | − | 14.1585i | −0.951011 | − | 1.30895i | ||||
\(118\) | 12.0439 | − | 16.5771i | 1.10873 | − | 1.52604i | ||||
\(119\) | 0.995855 | + | 3.06493i | 0.0912898 | + | 0.280961i | ||||
\(120\) | −0.149065 | + | 1.12016i | −0.0136077 | + | 0.102256i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 5.00023i | 0.452700i | ||||||||
\(123\) | 14.4197 | − | 4.68526i | 1.30018 | − | 0.422455i | ||||
\(124\) | −0.709183 | − | 0.515251i | −0.0636865 | − | 0.0462709i | ||||
\(125\) | 2.56440 | + | 10.8823i | 0.229367 | + | 0.973340i | ||||
\(126\) | −2.33590 | + | 7.18917i | −0.208099 | + | 0.640462i | ||||
\(127\) | −6.74338 | − | 2.19106i | −0.598378 | − | 0.194425i | −0.00586102 | − | 0.999983i | \(-0.501866\pi\) |
−0.592517 | + | 0.805558i | \(0.701866\pi\) | |||||||
\(128\) | −0.905782 | − | 1.24670i | −0.0800605 | − | 0.110194i | ||||
\(129\) | −4.79579 | − | 3.48435i | −0.422246 | − | 0.306780i | ||||
\(130\) | −20.1388 | + | 3.70340i | −1.76629 | + | 0.324810i | ||||
\(131\) | −7.21704 | −0.630556 | −0.315278 | − | 0.948999i | \(-0.602098\pi\) | ||||
−0.315278 | + | 0.948999i | \(0.602098\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 3.16557i | − | 0.274490i | ||||||
\(134\) | 6.00375 | + | 18.4776i | 0.518645 | + | 1.59623i | ||||
\(135\) | −3.68255 | − | 3.50440i | −0.316943 | − | 0.301611i | ||||
\(136\) | −0.520573 | + | 0.378218i | −0.0446388 | + | 0.0324320i | ||||
\(137\) | 8.07522 | + | 2.62380i | 0.689913 | + | 0.224166i | 0.632930 | − | 0.774209i | \(-0.281852\pi\) |
0.0569827 | + | 0.998375i | \(0.481852\pi\) | |||||||
\(138\) | −16.9792 | − | 5.51688i | −1.44537 | − | 0.469628i | ||||
\(139\) | −6.26192 | + | 4.54955i | −0.531129 | + | 0.385888i | −0.820780 | − | 0.571245i | \(-0.806461\pi\) |
0.289651 | + | 0.957132i | \(0.406461\pi\) | |||||||
\(140\) | 3.27803 | + | 3.11945i | 0.277044 | + | 0.263642i | ||||
\(141\) | −3.50181 | − | 10.7775i | −0.294905 | − | 0.907625i | ||||
\(142\) | − | 11.0354i | − | 0.926067i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 14.6978 | 1.22482 | ||||||||
\(145\) | −10.8046 | + | 1.98691i | −0.897275 | + | 0.165004i | ||||
\(146\) | 2.35026 | + | 1.70756i | 0.194509 | + | 0.141319i | ||||
\(147\) | −9.34557 | − | 12.8631i | −0.770810 | − | 1.06093i | ||||
\(148\) | −12.6291 | − | 4.10345i | −1.03811 | − | 0.337301i | ||||
\(149\) | −5.21723 | + | 16.0570i | −0.427412 | + | 1.31544i | 0.473254 | + | 0.880926i | \(0.343079\pi\) |
−0.900666 | + | 0.434513i | \(0.856921\pi\) | |||||||
\(150\) | −24.7815 | + | 9.43336i | −2.02340 | + | 0.770231i | ||||
\(151\) | −9.93687 | − | 7.21956i | −0.808651 | − | 0.587519i | 0.104788 | − | 0.994495i | \(-0.466584\pi\) |
−0.913439 | + | 0.406975i | \(0.866584\pi\) | |||||||
\(152\) | 0.601131 | − | 0.195319i | 0.0487582 | − | 0.0158425i | ||||
\(153\) | − | 12.9047i | − | 1.04328i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.123402 | − | 0.927318i | 0.00991190 | − | 0.0744840i | ||||
\(156\) | −7.67812 | − | 23.6308i | −0.614741 | − | 1.89198i | ||||
\(157\) | 2.47441 | − | 3.40573i | 0.197479 | − | 0.271807i | −0.698781 | − | 0.715336i | \(-0.746274\pi\) |
0.896260 | + | 0.443529i | \(0.146274\pi\) | |||||||
\(158\) | −1.19420 | − | 1.64367i | −0.0950053 | − | 0.130764i | ||||
\(159\) | −2.15466 | + | 6.63135i | −0.170875 | + | 0.525900i | ||||
\(160\) | 7.79749 | − | 16.2892i | 0.616446 | − | 1.28777i | ||||
\(161\) | −2.63041 | + | 1.91111i | −0.207306 | + | 0.150616i | ||||
\(162\) | −6.71452 | + | 9.24174i | −0.527542 | + | 0.726100i | ||||
\(163\) | −15.7624 | + | 5.12151i | −1.23461 | + | 0.401148i | −0.852381 | − | 0.522922i | \(-0.824842\pi\) |
−0.382225 | + | 0.924069i | \(0.624842\pi\) | |||||||
\(164\) | 12.1226 | 0.946617 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −14.9660 | −1.16159 | ||||||||
\(167\) | 8.71813 | − | 2.83269i | 0.674629 | − | 0.219200i | 0.0483867 | − | 0.998829i | \(-0.484592\pi\) |
0.626242 | + | 0.779628i | \(0.284592\pi\) | |||||||
\(168\) | −0.286896 | + | 0.394878i | −0.0221345 | + | 0.0304655i | ||||
\(169\) | 6.04859 | − | 4.39456i | 0.465276 | − | 0.338043i | ||||
\(170\) | −13.6189 | − | 6.51925i | −1.04452 | − | 0.500004i | ||||
\(171\) | −3.91714 | + | 12.0557i | −0.299551 | + | 0.921924i | ||||
\(172\) | −2.78591 | − | 3.83447i | −0.212423 | − | 0.292376i | ||||
\(173\) | −2.41560 | + | 3.32479i | −0.183655 | + | 0.252779i | −0.890911 | − | 0.454178i | \(-0.849933\pi\) |
0.707256 | + | 0.706958i | \(0.249933\pi\) | |||||||
\(174\) | −8.05140 | − | 24.7797i | −0.610375 | − | 1.87854i | ||||
\(175\) | −1.26290 | + | 4.66106i | −0.0954661 | + | 0.352343i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 26.5343i | 1.99444i | ||||||||
\(178\) | −23.4737 | + | 7.62707i | −1.75943 | + | 0.571673i | ||||
\(179\) | −13.1838 | − | 9.57858i | −0.985403 | − | 0.715937i | −0.0264932 | − | 0.999649i | \(-0.508434\pi\) |
−0.958910 | + | 0.283712i | \(0.908434\pi\) | |||||||
\(180\) | −8.62394 | − | 15.9364i | −0.642790 | − | 1.18783i | ||||
\(181\) | −1.71408 | + | 5.27541i | −0.127407 | + | 0.392118i | −0.994332 | − | 0.106321i | \(-0.966093\pi\) |
0.866925 | + | 0.498438i | \(0.166093\pi\) | |||||||
\(182\) | −8.41151 | − | 2.73307i | −0.623503 | − | 0.202588i | ||||
\(183\) | −3.80598 | − | 5.23848i | −0.281346 | − | 0.387240i | ||||
\(184\) | −0.525212 | − | 0.381589i | −0.0387191 | − | 0.0281311i | ||||
\(185\) | −2.56302 | − | 13.9375i | −0.188437 | − | 1.02471i | ||||
\(186\) | 2.21870 | 0.162683 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 9.06056i | − | 0.660809i | ||||||
\(189\) | −0.678512 | − | 2.08825i | −0.0493545 | − | 0.151898i | ||||
\(190\) | 10.7440 | + | 10.2243i | 0.779455 | + | 0.741748i | ||||
\(191\) | −17.6496 | + | 12.8232i | −1.27708 | + | 0.927854i | −0.999461 | − | 0.0328370i | \(-0.989546\pi\) |
−0.277621 | + | 0.960691i | \(0.589546\pi\) | |||||||
\(192\) | 21.7913 | + | 7.08042i | 1.57265 | + | 0.510985i | ||||
\(193\) | 21.3787 | + | 6.94637i | 1.53887 | + | 0.500010i | 0.951065 | − | 0.308990i | \(-0.0999910\pi\) |
0.587808 | + | 0.809000i | \(0.299991\pi\) | |||||||
\(194\) | −4.94308 | + | 3.59136i | −0.354893 | + | 0.257845i | ||||
\(195\) | 18.2795 | − | 19.2087i | 1.30902 | − | 1.37556i | ||||
\(196\) | −3.92839 | − | 12.0903i | −0.280599 | − | 0.863596i | ||||
\(197\) | 25.7479i | 1.83446i | 0.398358 | + | 0.917230i | \(0.369580\pi\) | ||||
−0.398358 | + | 0.917230i | \(0.630420\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.9671 | −1.20277 | −0.601385 | − | 0.798960i | \(-0.705384\pi\) | ||||
−0.601385 | + | 0.798960i | \(0.705384\pi\) | |||||||
\(200\) | −0.963040 | + | 0.0477725i | −0.0680972 | + | 0.00337802i | ||||
\(201\) | −20.3543 | − | 14.7882i | −1.43568 | − | 1.04308i | ||||
\(202\) | 18.0757 | + | 24.8791i | 1.27181 | + | 1.75049i | ||||
\(203\) | −4.51284 | − | 1.46631i | −0.316740 | − | 0.102915i | ||||
\(204\) | 5.66165 | − | 17.4248i | 0.396395 | − | 1.21998i | ||||
\(205\) | 6.15715 | + | 11.3779i | 0.430034 | + | 0.794670i | ||||
\(206\) | 15.9576 | + | 11.5939i | 1.11182 | + | 0.807783i | ||||
\(207\) | 12.3825 | − | 4.02331i | 0.860642 | − | 0.279639i | ||||
\(208\) | 17.1969i | 1.19239i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −11.3531 | − | 1.51080i | −0.783436 | − | 0.104255i | ||||
\(211\) | 1.80045 | + | 5.54121i | 0.123948 | + | 0.381472i | 0.993708 | − | 0.112002i | \(-0.0357265\pi\) |
−0.869760 | + | 0.493475i | \(0.835726\pi\) | |||||||
\(212\) | −3.27687 | + | 4.51023i | −0.225056 | + | 0.309764i | ||||
\(213\) | 8.39968 | + | 11.5612i | 0.575537 | + | 0.792158i | ||||
\(214\) | 4.77881 | − | 14.7077i | 0.326673 | − | 1.00540i | ||||
\(215\) | 2.18395 | − | 4.56232i | 0.148944 | − | 0.311148i | ||||
\(216\) | 0.354686 | − | 0.257694i | 0.0241333 | − | 0.0175339i | ||||
\(217\) | 0.237504 | − | 0.326897i | 0.0161229 | − | 0.0221912i | ||||
\(218\) | 18.9688 | − | 6.16332i | 1.28473 | − | 0.417433i | ||||
\(219\) | −3.76197 | −0.254211 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.0988 | 1.01566 | ||||||||
\(222\) | 31.9647 | − | 10.3860i | 2.14533 | − | 0.697060i | ||||
\(223\) | −11.1810 | + | 15.3893i | −0.748736 | + | 1.03055i | 0.249332 | + | 0.968418i | \(0.419789\pi\) |
−0.998068 | + | 0.0621285i | \(0.980211\pi\) | |||||||
\(224\) | 6.31060 | − | 4.58492i | 0.421645 | − | 0.306343i | ||||
\(225\) | 10.5773 | − | 16.1884i | 0.705152 | − | 1.07922i | ||||
\(226\) | 3.13840 | − | 9.65900i | 0.208763 | − | 0.642507i | ||||
\(227\) | 16.7319 | + | 23.0294i | 1.11053 | + | 1.52852i | 0.820630 | + | 0.571460i | \(0.193623\pi\) |
0.289902 | + | 0.957056i | \(0.406377\pi\) | |||||||
\(228\) | −10.5784 | + | 14.5599i | −0.700569 | + | 0.964250i | ||||
\(229\) | 7.84636 | + | 24.1486i | 0.518502 | + | 1.59579i | 0.776818 | + | 0.629725i | \(0.216832\pi\) |
−0.258316 | + | 0.966060i | \(0.583168\pi\) | |||||||
\(230\) | 2.00946 | − | 15.1003i | 0.132500 | − | 0.995682i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 0.947446i | − | 0.0622029i | ||||||
\(233\) | −11.9048 | + | 3.86810i | −0.779908 | + | 0.253407i | −0.671801 | − | 0.740732i | \(-0.734479\pi\) |
−0.108107 | + | 0.994139i | \(0.534479\pi\) | |||||||
\(234\) | 28.6523 | + | 20.8171i | 1.87306 | + | 1.36086i | ||||
\(235\) | 8.50398 | − | 4.60191i | 0.554739 | − | 0.300196i | ||||
\(236\) | −6.55594 | + | 20.1771i | −0.426755 | + | 1.31342i | ||||
\(237\) | 2.50220 | + | 0.813013i | 0.162535 | + | 0.0528108i | ||||
\(238\) | −3.83332 | − | 5.27611i | −0.248477 | − | 0.341999i | ||||
\(239\) | −16.4939 | − | 11.9835i | −1.06690 | − | 0.775149i | −0.0915488 | − | 0.995801i | \(-0.529182\pi\) |
−0.975353 | + | 0.220651i | \(0.929182\pi\) | |||||||
\(240\) | 4.02766 | + | 21.9020i | 0.259984 | + | 1.41377i | ||||
\(241\) | 22.7935 | 1.46826 | 0.734129 | − | 0.679010i | \(-0.237591\pi\) | ||||
0.734129 | + | 0.679010i | \(0.237591\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 21.6131i | − | 1.38648i | ||||||
\(244\) | −1.59983 | − | 4.92378i | −0.102419 | − | 0.315213i | ||||
\(245\) | 9.35240 | − | 9.82783i | 0.597503 | − | 0.627877i | ||||
\(246\) | −24.8228 | + | 18.0348i | −1.58265 | + | 1.14986i | ||||
\(247\) | −14.1055 | − | 4.58316i | −0.897512 | − | 0.291619i | ||||
\(248\) | 0.0767308 | + | 0.0249314i | 0.00487241 | + | 0.00158314i | ||||
\(249\) | 15.6791 | − | 11.3915i | 0.993620 | − | 0.721907i | ||||
\(250\) | −11.7408 | − | 19.3408i | −0.742554 | − | 1.22322i | ||||
\(251\) | 5.23870 | + | 16.1231i | 0.330664 | + | 1.01768i | 0.968819 | + | 0.247771i | \(0.0796980\pi\) |
−0.638155 | + | 0.769908i | \(0.720302\pi\) | |||||||
\(252\) | − | 7.82663i | − | 0.493031i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 14.3487 | 0.900320 | ||||||||
\(255\) | 19.2300 | − | 3.53628i | 1.20423 | − | 0.221451i | ||||
\(256\) | −11.6241 | − | 8.44538i | −0.726504 | − | 0.527836i | ||||
\(257\) | −2.78366 | − | 3.83138i | −0.173640 | − | 0.238995i | 0.713323 | − | 0.700835i | \(-0.247189\pi\) |
−0.886963 | + | 0.461841i | \(0.847189\pi\) | |||||||
\(258\) | 11.4091 | + | 3.70704i | 0.710300 | + | 0.230790i | ||||
\(259\) | 1.89148 | − | 5.82138i | 0.117531 | − | 0.361723i | ||||
\(260\) | 18.6460 | − | 10.0902i | 1.15637 | − | 0.625769i | ||||
\(261\) | 15.3722 | + | 11.1686i | 0.951516 | + | 0.691317i | ||||
\(262\) | 13.8902 | − | 4.51319i | 0.858138 | − | 0.278826i | ||||
\(263\) | − | 18.1037i | − | 1.11632i | −0.829732 | − | 0.558162i | \(-0.811507\pi\) | ||
0.829732 | − | 0.558162i | \(-0.188493\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.89751 | − | 0.784807i | −0.362281 | − | 0.0482103i | ||||
\(266\) | 1.97960 | + | 6.09258i | 0.121377 | + | 0.373560i | ||||
\(267\) | 18.7867 | − | 25.8577i | 1.14973 | − | 1.58247i | ||||
\(268\) | −11.8239 | − | 16.2742i | −0.722261 | − | 0.994107i | ||||
\(269\) | 0.710127 | − | 2.18555i | 0.0432972 | − | 0.133255i | −0.927071 | − | 0.374885i | \(-0.877682\pi\) |
0.970368 | + | 0.241630i | \(0.0776821\pi\) | |||||||
\(270\) | 9.27905 | + | 4.44181i | 0.564705 | + | 0.270320i | ||||
\(271\) | 0.651815 | − | 0.473572i | 0.0395950 | − | 0.0287674i | −0.567812 | − | 0.823158i | \(-0.692210\pi\) |
0.607407 | + | 0.794391i | \(0.292210\pi\) | |||||||
\(272\) | −7.45343 | + | 10.2588i | −0.451930 | + | 0.622029i | ||||
\(273\) | 10.8926 | − | 3.53922i | 0.659250 | − | 0.214203i | ||||
\(274\) | −17.1827 | −1.03804 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 18.4848 | 1.11265 | ||||||||
\(277\) | −11.2538 | + | 3.65657i | −0.676173 | + | 0.219702i | −0.626919 | − | 0.779084i | \(-0.715684\pi\) |
−0.0492539 | + | 0.998786i | \(0.515684\pi\) | |||||||
\(278\) | 9.20685 | − | 12.6721i | 0.552190 | − | 0.760025i | ||||
\(279\) | −1.30902 | + | 0.951057i | −0.0783688 | + | 0.0569383i | ||||
\(280\) | −0.375655 | − | 0.179823i | −0.0224497 | − | 0.0107465i | ||||
\(281\) | −1.92496 | + | 5.92441i | −0.114833 | + | 0.353420i | −0.991912 | − | 0.126926i | \(-0.959489\pi\) |
0.877079 | + | 0.480346i | \(0.159489\pi\) | |||||||
\(282\) | 13.4794 | + | 18.5528i | 0.802687 | + | 1.10480i | ||||
\(283\) | −5.08178 | + | 6.99448i | −0.302081 | + | 0.415778i | −0.932891 | − | 0.360159i | \(-0.882723\pi\) |
0.630810 | + | 0.775937i | \(0.282723\pi\) | |||||||
\(284\) | 3.53079 | + | 10.8666i | 0.209514 | + | 0.644817i | ||||
\(285\) | −19.0383 | − | 2.53351i | −1.12773 | − | 0.150072i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.58790i | 0.329843i | ||||||||
\(288\) | −29.7067 | + | 9.65228i | −1.75048 | + | 0.568766i | ||||
\(289\) | −4.74609 | − | 3.44824i | −0.279182 | − | 0.202838i | ||||
\(290\) | 19.5525 | − | 10.5808i | 1.14816 | − | 0.621324i | ||||
\(291\) | 2.44501 | − | 7.52496i | 0.143329 | − | 0.441121i | ||||
\(292\) | −2.86067 | − | 0.929487i | −0.167408 | − | 0.0543941i | ||||
\(293\) | −3.41532 | − | 4.70078i | −0.199525 | − | 0.274622i | 0.697517 | − | 0.716568i | \(-0.254288\pi\) |
−0.897042 | + | 0.441946i | \(0.854288\pi\) | |||||||
\(294\) | 26.0308 | + | 18.9125i | 1.51815 | + | 1.10300i | ||||
\(295\) | −22.2675 | + | 4.09485i | −1.29646 | + | 0.238412i | ||||
\(296\) | 1.22216 | 0.0710369 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 34.1665i | − | 1.97921i | ||||||
\(299\) | 4.70738 | + | 14.4878i | 0.272235 | + | 0.837852i | ||||
\(300\) | 21.3844 | − | 17.2180i | 1.23463 | − | 0.994084i | ||||
\(301\) | 1.76749 | − | 1.28416i | 0.101877 | − | 0.0740177i | ||||
\(302\) | 23.6396 | + | 7.68098i | 1.36031 | + | 0.441991i | ||||
\(303\) | −37.8740 | − | 12.3060i | −2.17580 | − | 0.706962i | ||||
\(304\) | 10.0771 | − | 7.32141i | 0.577959 | − | 0.419912i | ||||
\(305\) | 3.80876 | − | 4.00238i | 0.218089 | − | 0.229176i | ||||
\(306\) | 8.06999 | + | 24.8369i | 0.461331 | + | 1.41983i | ||||
\(307\) | − | 18.4721i | − | 1.05426i | −0.849785 | − | 0.527130i | \(-0.823268\pi\) | ||
0.849785 | − | 0.527130i | \(-0.176732\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −25.5427 | −1.45307 | ||||||||
\(310\) | 0.342396 | + | 1.86192i | 0.0194468 | + | 0.105750i | ||||
\(311\) | 9.16726 | + | 6.66041i | 0.519828 | + | 0.377677i | 0.816539 | − | 0.577290i | \(-0.195890\pi\) |
−0.296711 | + | 0.954967i | \(0.595890\pi\) | |||||||
\(312\) | 1.34417 | + | 1.85009i | 0.0760986 | + | 0.104741i | ||||
\(313\) | 4.86464 | + | 1.58062i | 0.274966 | + | 0.0893418i | 0.443254 | − | 0.896396i | \(-0.353824\pi\) |
−0.168288 | + | 0.985738i | \(0.553824\pi\) | |||||||
\(314\) | −2.63256 | + | 8.10217i | −0.148564 | + | 0.457232i | ||||
\(315\) | 7.34585 | − | 3.97519i | 0.413892 | − | 0.223977i | ||||
\(316\) | 1.70184 | + | 1.23646i | 0.0957357 | + | 0.0695561i | ||||
\(317\) | −11.2351 | + | 3.65051i | −0.631027 | + | 0.205033i | −0.607030 | − | 0.794679i | \(-0.707639\pi\) |
−0.0239968 | + | 0.999712i | \(0.507639\pi\) | |||||||
\(318\) | − | 14.1104i | − | 0.791270i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −2.57896 | + | 19.3798i | −0.144168 | + | 1.08337i | ||||
\(321\) | 6.18839 | + | 19.0459i | 0.345402 | + | 1.06304i | ||||
\(322\) | 3.86748 | − | 5.32313i | 0.215526 | − | 0.296646i | ||||
\(323\) | −6.42820 | − | 8.84766i | −0.357675 | − | 0.492297i | ||||
\(324\) | 3.65494 | − | 11.2488i | 0.203052 | − | 0.624931i | ||||
\(325\) | 18.9408 | + | 12.3757i | 1.05065 | + | 0.686480i | ||||
\(326\) | 27.1341 | − | 19.7141i | 1.50282 | − | 1.09186i | ||||
\(327\) | −15.1813 | + | 20.8952i | −0.839527 | + | 1.15551i | ||||
\(328\) | −1.06112 | + | 0.344780i | −0.0585907 | + | 0.0190373i | ||||
\(329\) | 4.17645 | 0.230255 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.2692 | 1.60878 | 0.804391 | − | 0.594100i | \(-0.202492\pi\) | ||||
0.804391 | + | 0.594100i | \(0.202492\pi\) | |||||||
\(332\) | 14.7372 | − | 4.78839i | 0.808807 | − | 0.262797i | ||||
\(333\) | −14.4070 | + | 19.8295i | −0.789497 | + | 1.08665i | ||||
\(334\) | −15.0078 | + | 10.9038i | −0.821191 | + | 0.596630i | ||||
\(335\) | 9.26909 | − | 19.3634i | 0.506424 | − | 1.05793i | ||||
\(336\) | −2.97236 | + | 9.14798i | −0.162155 | + | 0.499063i | ||||
\(337\) | −15.6610 | − | 21.5555i | −0.853109 | − | 1.17420i | −0.983169 | − | 0.182698i | \(-0.941517\pi\) |
0.130060 | − | 0.991506i | \(-0.458483\pi\) | |||||||
\(338\) | −8.89320 | + | 12.2404i | −0.483726 | + | 0.665792i | ||||
\(339\) | 4.06411 | + | 12.5081i | 0.220732 | + | 0.679344i | ||||
\(340\) | 15.4965 | + | 2.06219i | 0.840417 | + | 0.111838i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 25.6525i | − | 1.38713i | ||||||
\(343\) | 12.0029 | − | 3.89998i | 0.648095 | − | 0.210579i | ||||
\(344\) | 0.352914 | + | 0.256407i | 0.0190278 | + | 0.0138245i | ||||
\(345\) | 9.38852 | + | 17.3493i | 0.505461 | + | 0.934054i | ||||
\(346\) | 2.56999 | − | 7.90962i | 0.138164 | − | 0.425224i | ||||
\(347\) | −4.10028 | − | 1.33226i | −0.220114 | − | 0.0715195i | 0.196884 | − | 0.980427i | \(-0.436918\pi\) |
−0.416998 | + | 0.908907i | \(0.636918\pi\) | |||||||
\(348\) | 15.8566 | + | 21.8247i | 0.850003 | + | 1.16993i | ||||
\(349\) | 10.6543 | + | 7.74083i | 0.570314 | + | 0.414357i | 0.835219 | − | 0.549917i | \(-0.185341\pi\) |
−0.264905 | + | 0.964274i | \(0.585341\pi\) | |||||||
\(350\) | −0.484183 | − | 9.76060i | −0.0258807 | − | 0.521726i | ||||
\(351\) | −10.2874 | −0.549100 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 25.4904i | − | 1.35672i | −0.734732 | − | 0.678358i | \(-0.762692\pi\) | ||
0.734732 | − | 0.678358i | \(-0.237308\pi\) | |||||||
\(354\) | −16.5933 | − | 51.0689i | −0.881923 | − | 2.71428i | ||||
\(355\) | −8.40582 | + | 8.83313i | −0.446134 | + | 0.468814i | ||||
\(356\) | 20.6745 | − | 15.0209i | 1.09575 | − | 0.796107i | ||||
\(357\) | 8.03193 | + | 2.60973i | 0.425095 | + | 0.138122i | ||||
\(358\) | 31.3640 | + | 10.1908i | 1.65764 | + | 0.538600i | ||||
\(359\) | −21.2562 | + | 15.4435i | −1.12186 | + | 0.815079i | −0.984490 | − | 0.175441i | \(-0.943865\pi\) |
−0.137370 | + | 0.990520i | \(0.543865\pi\) | |||||||
\(360\) | 1.20812 | + | 1.14968i | 0.0636736 | + | 0.0605933i | ||||
\(361\) | −2.55168 | − | 7.85325i | −0.134299 | − | 0.413329i | ||||
\(362\) | − | 11.2252i | − | 0.589981i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.15736 | 0.479976 | ||||||||
\(365\) | −0.580560 | − | 3.15703i | −0.0303879 | − | 0.165247i | ||||
\(366\) | 10.6010 | + | 7.70209i | 0.554124 | + | 0.402595i | ||||
\(367\) | −1.18658 | − | 1.63319i | −0.0619391 | − | 0.0852518i | 0.776924 | − | 0.629595i | \(-0.216779\pi\) |
−0.838863 | + | 0.544343i | \(0.816779\pi\) | |||||||
\(368\) | −12.1674 | − | 3.95342i | −0.634268 | − | 0.206086i | ||||
\(369\) | 6.91458 | − | 21.2809i | 0.359959 | − | 1.10784i | ||||
\(370\) | 13.6487 | + | 25.2218i | 0.709564 | + | 1.31122i | ||||
\(371\) | −2.07898 | − | 1.51047i | −0.107935 | − | 0.0784197i | ||||
\(372\) | −2.18477 | + | 0.709876i | −0.113275 | + | 0.0368054i | ||||
\(373\) | − | 8.87153i | − | 0.459351i | −0.973267 | − | 0.229675i | \(-0.926234\pi\) | ||
0.973267 | − | 0.229675i | \(-0.0737664\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 27.0216 | + | 11.3257i | 1.39539 | + | 0.584855i | ||||
\(376\) | 0.257692 | + | 0.793093i | 0.0132894 | + | 0.0409007i | ||||
\(377\) | −13.0675 | + | 17.9859i | −0.673011 | + | 0.926320i | ||||
\(378\) | 2.61178 | + | 3.59481i | 0.134335 | + | 0.184897i | ||||
\(379\) | −6.50916 | + | 20.0331i | −0.334353 | + | 1.02903i | 0.632686 | + | 0.774408i | \(0.281952\pi\) |
−0.967040 | + | 0.254625i | \(0.918048\pi\) | |||||||
\(380\) | −13.8511 | − | 6.63039i | −0.710544 | − | 0.340132i | ||||
\(381\) | −15.0324 | + | 10.9217i | −0.770134 | + | 0.559535i | ||||
\(382\) | 25.9501 | − | 35.7172i | 1.32772 | − | 1.82745i | ||||
\(383\) | 24.7080 | − | 8.02812i | 1.26252 | − | 0.410218i | 0.400129 | − | 0.916459i | \(-0.368965\pi\) |
0.862392 | + | 0.506241i | \(0.168965\pi\) | |||||||
\(384\) | −4.03836 | −0.206082 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −45.4902 | −2.31539 | ||||||||
\(387\) | −8.32034 | + | 2.70344i | −0.422947 | + | 0.137424i | ||||
\(388\) | 3.71845 | − | 5.11800i | 0.188775 | − | 0.259827i | ||||
\(389\) | −1.32987 | + | 0.966206i | −0.0674270 | + | 0.0489886i | −0.620988 | − | 0.783820i | \(-0.713269\pi\) |
0.553561 | + | 0.832809i | \(0.313269\pi\) | |||||||
\(390\) | −23.1691 | + | 48.4009i | −1.17321 | + | 2.45087i | ||||
\(391\) | −3.47110 | + | 10.6830i | −0.175541 | + | 0.540260i | ||||
\(392\) | 0.687724 | + | 0.946571i | 0.0347353 | + | 0.0478090i | ||||
\(393\) | −11.1167 | + | 15.3009i | −0.560766 | + | 0.771828i | ||||
\(394\) | −16.1015 | − | 49.5553i | −0.811182 | − | 2.49656i | ||||
\(395\) | −0.296130 | + | 2.22530i | −0.0148999 | + | 0.111967i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.7088i | 0.838588i | 0.907850 | + | 0.419294i | \(0.137722\pi\) | ||||
−0.907850 | + | 0.419294i | \(0.862278\pi\) | |||||||
\(398\) | 32.6556 | − | 10.6104i | 1.63688 | − | 0.531854i | ||||
\(399\) | −6.71135 | − | 4.87608i | −0.335988 | − | 0.244109i | ||||
\(400\) | −17.7585 | + | 6.75998i | −0.887927 | + | 0.337999i | ||||
\(401\) | 8.58819 | − | 26.4317i | 0.428874 | − | 1.31994i | −0.470362 | − | 0.882474i | \(-0.655877\pi\) |
0.899236 | − | 0.437464i | \(-0.144123\pi\) | |||||||
\(402\) | 48.4224 | + | 15.7334i | 2.41509 | + | 0.784711i | ||||
\(403\) | −1.11276 | − | 1.53158i | −0.0554305 | − | 0.0762936i | ||||
\(404\) | −25.7595 | − | 18.7154i | −1.28158 | − | 0.931125i | ||||
\(405\) | 12.4141 | − | 2.28289i | 0.616864 | − | 0.113438i | ||||
\(406\) | 9.60255 | 0.476567 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 1.68626i | 0.0834822i | ||||||||
\(409\) | 12.1855 | + | 37.5030i | 0.602532 | + | 1.85440i | 0.512941 | + | 0.858424i | \(0.328556\pi\) |
0.0895906 | + | 0.995979i | \(0.471444\pi\) | |||||||
\(410\) | −18.9655 | − | 18.0480i | −0.936639 | − | 0.891328i | ||||
\(411\) | 18.0014 | − | 13.0788i | 0.887942 | − | 0.645128i | ||||
\(412\) | −19.4231 | − | 6.31095i | −0.956908 | − | 0.310918i | ||||
\(413\) | −9.30061 | − | 3.02195i | −0.457653 | − | 0.148700i | ||||
\(414\) | −21.3158 | + | 15.4868i | −1.04761 | + | 0.761136i | ||||
\(415\) | 11.9793 | + | 11.3998i | 0.588043 | + | 0.559596i | ||||
\(416\) | −11.2934 | − | 34.7576i | −0.553705 | − | 1.70413i | ||||
\(417\) | 20.2838i | 0.993303i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −14.7812 | −0.722111 | −0.361055 | − | 0.932544i | \(-0.617583\pi\) | ||||
−0.361055 | + | 0.932544i | \(0.617583\pi\) | |||||||
\(420\) | 11.6629 | − | 2.14473i | 0.569090 | − | 0.104652i | ||||
\(421\) | 8.71900 | + | 6.33473i | 0.424938 | + | 0.308736i | 0.779622 | − | 0.626251i | \(-0.215411\pi\) |
−0.354684 | + | 0.934986i | \(0.615411\pi\) | |||||||
\(422\) | −6.93042 | − | 9.53890i | −0.337367 | − | 0.464346i | ||||
\(423\) | −15.9055 | − | 5.16802i | −0.773354 | − | 0.251278i | ||||
\(424\) | 0.158557 | − | 0.487989i | 0.00770022 | − | 0.0236988i | ||||
\(425\) | 5.93526 | + | 15.5920i | 0.287903 | + | 0.756323i | ||||
\(426\) | −23.3961 | − | 16.9983i | −1.13355 | − | 0.823570i | ||||
\(427\) | 2.26961 | − | 0.737442i | 0.109834 | − | 0.0356873i | ||||
\(428\) | 16.0118i | 0.773960i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.35025 | + | 10.1466i | −0.0651146 | + | 0.489310i | ||||
\(431\) | −9.94774 | − | 30.6160i | −0.479166 | − | 1.47472i | −0.840256 | − | 0.542190i | \(-0.817595\pi\) |
0.361090 | − | 0.932531i | \(-0.382405\pi\) | |||||||
\(432\) | 5.07829 | − | 6.98967i | 0.244330 | − | 0.336291i | ||||
\(433\) | 0.224905 | + | 0.309555i | 0.0108082 | + | 0.0148763i | 0.814387 | − | 0.580322i | \(-0.197073\pi\) |
−0.803579 | + | 0.595199i | \(0.797073\pi\) | |||||||
\(434\) | −0.252684 | + | 0.777682i | −0.0121292 | + | 0.0373299i | ||||
\(435\) | −12.4304 | + | 25.9675i | −0.595993 | + | 1.24504i | ||||
\(436\) | −16.7068 | + | 12.1382i | −0.800109 | + | 0.581314i | ||||
\(437\) | 6.48548 | − | 8.92650i | 0.310243 | − | 0.427013i | ||||
\(438\) | 7.24044 | − | 2.35256i | 0.345961 | − | 0.112410i | ||||
\(439\) | 26.5331 | 1.26635 | 0.633177 | − | 0.774007i | \(-0.281751\pi\) | ||||
0.633177 | + | 0.774007i | \(0.281751\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −23.4649 | −1.11738 | ||||||||
\(442\) | −29.0598 | + | 9.44210i | −1.38223 | + | 0.449115i | ||||
\(443\) | 8.52347 | − | 11.7316i | 0.404962 | − | 0.557383i | −0.557018 | − | 0.830500i | \(-0.688055\pi\) |
0.961981 | + | 0.273117i | \(0.0880547\pi\) | |||||||
\(444\) | −28.1530 | + | 20.4543i | −1.33608 | + | 0.970720i | ||||
\(445\) | 24.5989 | + | 11.7753i | 1.16610 | + | 0.558203i | ||||
\(446\) | 11.8956 | − | 36.6110i | 0.563274 | − | 1.73358i | ||||
\(447\) | 26.0062 | + | 35.7944i | 1.23005 | + | 1.69302i | ||||
\(448\) | −4.96356 | + | 6.83175i | −0.234506 | + | 0.322770i | ||||
\(449\) | −3.12540 | − | 9.61898i | −0.147497 | − | 0.453948i | 0.849827 | − | 0.527062i | \(-0.176706\pi\) |
−0.997324 | + | 0.0731139i | \(0.976706\pi\) | |||||||
\(450\) | −10.2340 | + | 37.7713i | −0.482435 | + | 1.78055i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 10.5155i | 0.494606i | ||||||||
\(453\) | −30.6125 | + | 9.94659i | −1.43830 | + | 0.467332i | ||||
\(454\) | −46.6043 | − | 33.8600i | −2.18725 | − | 1.58913i | ||||
\(455\) | 4.65108 | + | 8.59484i | 0.218046 | + | 0.402932i | ||||
\(456\) | 0.511853 | − | 1.57532i | 0.0239697 | − | 0.0737712i | ||||
\(457\) | −37.1756 | − | 12.0791i | −1.73900 | − | 0.565036i | −0.744301 | − | 0.667845i | \(-0.767217\pi\) |
−0.994701 | + | 0.102809i | \(0.967217\pi\) | |||||||
\(458\) | −30.2028 | − | 41.5706i | −1.41128 | − | 1.94247i | ||||
\(459\) | −6.13693 | − | 4.45874i | −0.286448 | − | 0.208116i | ||||
\(460\) | 2.85263 | + | 15.5123i | 0.133004 | + | 0.723266i | ||||
\(461\) | −39.1322 | −1.82257 | −0.911285 | − | 0.411776i | \(-0.864908\pi\) | ||||
−0.911285 | + | 0.411776i | \(0.864908\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.9189i | 0.600392i | 0.953878 | + | 0.300196i | \(0.0970521\pi\) | ||||
−0.953878 | + | 0.300196i | \(0.902948\pi\) | |||||||
\(464\) | −5.76966 | − | 17.7572i | −0.267850 | − | 0.824357i | ||||
\(465\) | −1.77593 | − | 1.69002i | −0.0823568 | − | 0.0783727i | ||||
\(466\) | 20.4934 | − | 14.8894i | 0.949341 | − | 0.689736i | ||||
\(467\) | −10.6985 | − | 3.47616i | −0.495069 | − | 0.160858i | 0.0508323 | − | 0.998707i | \(-0.483813\pi\) |
−0.545901 | + | 0.837850i | \(0.683813\pi\) | |||||||
\(468\) | −34.8747 | − | 11.3315i | −1.61209 | − | 0.523798i | ||||
\(469\) | 7.50158 | − | 5.45022i | 0.346391 | − | 0.251668i | ||||
\(470\) | −13.4893 | + | 14.1750i | −0.622213 | + | 0.653844i | ||||
\(471\) | −3.40906 | − | 10.4920i | −0.157081 | − | 0.483446i | ||||
\(472\) | − | 1.95261i | − | 0.0898762i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −5.32424 | −0.244550 | ||||||||
\(475\) | −0.811941 | − | 16.3678i | −0.0372544 | − | 0.751008i | ||||
\(476\) | 5.46281 | + | 3.96896i | 0.250388 | + | 0.181917i | ||||
\(477\) | 6.04848 | + | 8.32503i | 0.276941 | + | 0.381177i | ||||
\(478\) | 39.2387 | + | 12.7494i | 1.79474 | + | 0.583145i | ||||
\(479\) | 6.47894 | − | 19.9401i | 0.296030 | − | 0.911087i | −0.686843 | − | 0.726806i | \(-0.741004\pi\) |
0.982873 | − | 0.184282i | \(-0.0589959\pi\) | |||||||
\(480\) | −22.5239 | − | 41.6225i | −1.02807 | − | 1.89980i | ||||
\(481\) | −23.2010 | − | 16.8565i | −1.05788 | − | 0.768591i | ||||
\(482\) | −43.8692 | + | 14.2540i | −1.99819 | + | 0.649250i | ||||
\(483\) | 8.52053i | 0.387697i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.69223 | + | 0.890564i | 0.303879 | + | 0.0404384i | ||||
\(486\) | 13.5158 | + | 41.5974i | 0.613090 | + | 1.88690i | ||||
\(487\) | 13.2658 | − | 18.2588i | 0.601130 | − | 0.827385i | −0.394681 | − | 0.918818i | \(-0.629145\pi\) |
0.995811 | + | 0.0914336i | \(0.0291449\pi\) | |||||||
\(488\) | 0.280075 | + | 0.385490i | 0.0126784 | + | 0.0174503i | ||||
\(489\) | −13.4214 | + | 41.3068i | −0.606937 | + | 1.86796i | ||||
\(490\) | −11.8541 | + | 24.7636i | −0.535514 | + | 1.11870i | ||||
\(491\) | −16.2420 | + | 11.8005i | −0.732991 | + | 0.532549i | −0.890508 | − | 0.454967i | \(-0.849651\pi\) |
0.157518 | + | 0.987516i | \(0.449651\pi\) | |||||||
\(492\) | 18.6730 | − | 25.7012i | 0.841845 | − | 1.15870i | ||||
\(493\) | −15.5908 | + | 5.06576i | −0.702175 | + | 0.228150i | ||||
\(494\) | 30.0141 | 1.35040 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.58993 | 0.0713898 | ||||||||
\(497\) | −5.00897 | + | 1.62751i | −0.224683 | + | 0.0730039i | ||||
\(498\) | −23.0528 | + | 31.7295i | −1.03302 | + | 1.42183i | ||||
\(499\) | 3.76342 | − | 2.73429i | 0.168474 | − | 0.122403i | −0.500353 | − | 0.865821i | \(-0.666797\pi\) |
0.668827 | + | 0.743418i | \(0.266797\pi\) | |||||||
\(500\) | 17.7494 | + | 15.2886i | 0.793778 | + | 0.683726i | ||||
\(501\) | 7.42334 | − | 22.8467i | 0.331650 | − | 1.02071i | ||||
\(502\) | −20.1652 | − | 27.7550i | −0.900017 | − | 1.23877i | ||||
\(503\) | 7.63957 | − | 10.5150i | 0.340632 | − | 0.468839i | −0.603994 | − | 0.796989i | \(-0.706425\pi\) |
0.944626 | + | 0.328149i | \(0.106425\pi\) | |||||||
\(504\) | 0.222597 | + | 0.685085i | 0.00991528 | + | 0.0305161i | ||||
\(505\) | 4.48232 | − | 33.6828i | 0.199460 | − | 1.49887i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 19.5928i | − | 0.870147i | ||||||
\(508\) | −14.1294 | + | 4.59091i | −0.626889 | + | 0.203689i | ||||
\(509\) | 23.9020 | + | 17.3658i | 1.05944 | + | 0.769727i | 0.973984 | − | 0.226615i | \(-0.0727659\pi\) |
0.0854540 | + | 0.996342i | \(0.472766\pi\) | |||||||
\(510\) | −34.7993 | + | 18.8316i | −1.54094 | + | 0.833876i | ||||
\(511\) | 0.428446 | − | 1.31862i | 0.0189533 | − | 0.0583323i | ||||
\(512\) | 30.5846 | + | 9.93755i | 1.35166 | + | 0.439182i | ||||
\(513\) | 4.37977 | + | 6.02824i | 0.193372 | + | 0.266153i | ||||
\(514\) | 7.75350 | + | 5.63324i | 0.341992 | + | 0.248472i | ||||
\(515\) | −3.94183 | − | 21.4353i | −0.173698 | − | 0.944554i | ||||
\(516\) | −12.4207 | −0.546793 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 12.3869i | 0.544248i | ||||||||
\(519\) | 3.32804 | + | 10.2427i | 0.146085 | + | 0.449603i | ||||
\(520\) | −1.34515 | + | 1.41353i | −0.0589888 | + | 0.0619875i | ||||
\(521\) | 25.4446 | − | 18.4866i | 1.11475 | − | 0.809911i | 0.131343 | − | 0.991337i | \(-0.458071\pi\) |
0.983405 | + | 0.181426i | \(0.0580712\pi\) | |||||||
\(522\) | −36.5702 | − | 11.8824i | −1.60064 | − | 0.520078i | ||||
\(523\) | 8.57873 | + | 2.78740i | 0.375121 | + | 0.121884i | 0.490509 | − | 0.871436i | \(-0.336811\pi\) |
−0.115387 | + | 0.993321i | \(0.536811\pi\) | |||||||
\(524\) | −12.2338 | + | 8.88838i | −0.534437 | + | 0.388291i | ||||
\(525\) | 7.93663 | + | 9.85712i | 0.346383 | + | 0.430200i | ||||
\(526\) | 11.3212 | + | 34.8431i | 0.493628 | + | 1.51923i | ||||
\(527\) | − | 1.39595i | − | 0.0608088i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.6672 | 0.507269 | ||||||||
\(530\) | 11.8414 | − | 2.17756i | 0.514356 | − | 0.0945870i | ||||
\(531\) | 31.6809 | + | 23.0175i | 1.37483 | + | 0.998875i | ||||
\(532\) | −3.89867 | − | 5.36605i | −0.169029 | − | 0.232648i | ||||
\(533\) | 24.8992 | + | 8.09024i | 1.07850 | + | 0.350427i | ||||
\(534\) | −19.9875 | + | 61.5151i | −0.864942 | + | 2.66202i | ||||
\(535\) | −15.0282 | + | 8.13249i | −0.649727 | + | 0.351598i | ||||
\(536\) | 1.49783 | + | 1.08824i | 0.0646965 | + | 0.0470048i | ||||
\(537\) | −40.6152 | + | 13.1967i | −1.75268 | + | 0.569479i | ||||
\(538\) | 4.65046i | 0.200496i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −10.5583 | − | 1.40504i | −0.454359 | − | 0.0604635i | ||||
\(541\) | 2.64213 | + | 8.13165i | 0.113594 | + | 0.349607i | 0.991651 | − | 0.128949i | \(-0.0411603\pi\) |
−0.878057 | + | 0.478556i | \(0.841160\pi\) | |||||||
\(542\) | −0.958359 | + | 1.31907i | −0.0411650 | + | 0.0566588i | ||||
\(543\) | 8.54414 | + | 11.7600i | 0.366664 | + | 0.504670i | ||||
\(544\) | 8.32748 | − | 25.6294i | 0.357038 | − | 1.09885i | ||||
\(545\) | −19.8780 | − | 9.51545i | −0.851481 | − | 0.407597i | ||||
\(546\) | −18.7510 | + | 13.6234i | −0.802470 | + | 0.583029i | ||||
\(547\) | 19.9435 | − | 27.4499i | 0.852725 | − | 1.17367i | −0.130531 | − | 0.991444i | \(-0.541668\pi\) |
0.983256 | − | 0.182230i | \(-0.0583317\pi\) | |||||||
\(548\) | 16.9200 | − | 5.49763i | 0.722785 | − | 0.234847i | ||||
\(549\) | −9.55608 | −0.407844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 16.1028 | 0.686002 | ||||||||
\(552\) | −1.61802 | + | 0.525726i | −0.0688674 | + | 0.0223764i | ||||
\(553\) | −0.569943 | + | 0.784459i | −0.0242364 | + | 0.0333586i | ||||
\(554\) | 19.3728 | − | 14.0751i | 0.823070 | − | 0.597995i | ||||
\(555\) | −33.4969 | − | 16.0347i | −1.42187 | − | 0.680635i | ||||
\(556\) | −5.01161 | + | 15.4241i | −0.212540 | + | 0.654129i | ||||
\(557\) | −13.4842 | − | 18.5594i | −0.571342 | − | 0.786385i | 0.421371 | − | 0.906888i | \(-0.361549\pi\) |
−0.992713 | + | 0.120503i | \(0.961549\pi\) | |||||||
\(558\) | 1.92464 | − | 2.64904i | 0.0814764 | − | 0.112143i | ||||
\(559\) | −3.16310 | − | 9.73501i | −0.133785 | − | 0.411747i | ||||
\(560\) | −8.13565 | − | 1.08265i | −0.343794 | − | 0.0457501i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 12.6061i | − | 0.531757i | ||||||
\(563\) | −8.82830 | + | 2.86849i | −0.372068 | + | 0.120892i | −0.489082 | − | 0.872238i | \(-0.662668\pi\) |
0.117013 | + | 0.993130i | \(0.462668\pi\) | |||||||
\(564\) | −19.2093 | − | 13.9564i | −0.808859 | − | 0.587670i | ||||
\(565\) | −9.86952 | + | 5.34087i | −0.415214 | + | 0.224692i | ||||
\(566\) | 5.40658 | − | 16.6397i | 0.227255 | − | 0.699420i | ||||
\(567\) | 5.18510 | + | 1.68474i | 0.217754 | + | 0.0707525i | ||||
\(568\) | −0.618117 | − | 0.850765i | −0.0259356 | − | 0.0356973i | ||||
\(569\) | −25.0206 | − | 18.1785i | −1.04892 | − | 0.762083i | −0.0769109 | − | 0.997038i | \(-0.524506\pi\) |
−0.972006 | + | 0.234955i | \(0.924506\pi\) | |||||||
\(570\) | 38.2261 | − | 7.02956i | 1.60112 | − | 0.294436i | ||||
\(571\) | 2.63736 | 0.110370 | 0.0551851 | − | 0.998476i | \(-0.482425\pi\) | ||||
0.0551851 | + | 0.998476i | \(0.482425\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 57.1712i | 2.38836i | ||||||||
\(574\) | −3.49441 | − | 10.7547i | −0.145854 | − | 0.448892i | ||||
\(575\) | −13.1106 | + | 10.5562i | −0.546749 | + | 0.440224i | ||||
\(576\) | 27.3569 | − | 19.8759i | 1.13987 | − | 0.828164i | ||||
\(577\) | −34.8377 | − | 11.3194i | −1.45031 | − | 0.471235i | −0.525216 | − | 0.850969i | \(-0.676015\pi\) |
−0.925096 | + | 0.379734i | \(0.876015\pi\) | |||||||
\(578\) | 11.2909 | + | 3.66863i | 0.469638 | + | 0.152595i | ||||
\(579\) | 47.6577 | − | 34.6253i | 1.98058 | − | 1.43898i | ||||
\(580\) | −15.8682 | + | 16.6749i | −0.658891 | + | 0.692386i | ||||
\(581\) | 2.20720 | + | 6.79308i | 0.0915703 | + | 0.281824i | ||||
\(582\) | 16.0118i | 0.663710i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0.276837 | 0.0114556 | ||||||||
\(585\) | −7.07768 | − | 38.4878i | −0.292626 | − | 1.59127i | ||||
\(586\) | 9.51289 | + | 6.91152i | 0.392974 | + | 0.285512i | ||||
\(587\) | −8.08348 | − | 11.1259i | −0.333641 | − | 0.459217i | 0.608930 | − | 0.793224i | \(-0.291599\pi\) |
−0.942571 | + | 0.334007i | \(0.891599\pi\) | |||||||
\(588\) | −31.6839 | − | 10.2947i | −1.30662 | − | 0.424547i | ||||
\(589\) | −0.423733 | + | 1.30412i | −0.0174596 | + | 0.0537352i | ||||
\(590\) | 40.2961 | − | 21.8061i | 1.65896 | − | 0.897744i | ||||
\(591\) | 54.5882 | + | 39.6607i | 2.24546 | + | 1.63142i | ||||
\(592\) | 22.9060 | − | 7.44261i | 0.941431 | − | 0.305890i | ||||
\(593\) | 20.1550i | 0.827668i | 0.910352 | + | 0.413834i | \(0.135811\pi\) | ||||
−0.910352 | + | 0.413834i | \(0.864189\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.950563 | + | 7.14310i | −0.0389693 | + | 0.292839i | ||||
\(596\) | 10.9316 | + | 33.6441i | 0.447777 | + | 1.37812i | ||||
\(597\) | −26.1353 | + | 35.9721i | −1.06965 | + | 1.47224i | ||||
\(598\) | −18.1200 | − | 24.9400i | −0.740981 | − | 1.01987i | ||||
\(599\) | −1.33594 | + | 4.11159i | −0.0545849 | + | 0.167995i | −0.974632 | − | 0.223812i | \(-0.928150\pi\) |
0.920047 | + | 0.391807i | \(0.128150\pi\) | |||||||
\(600\) | −1.38213 | + | 2.11533i | −0.0564253 | + | 0.0863581i | ||||
\(601\) | 29.1161 | − | 21.1541i | 1.18767 | − | 0.862894i | 0.194655 | − | 0.980872i | \(-0.437641\pi\) |
0.993016 | + | 0.117978i | \(0.0376412\pi\) | |||||||
\(602\) | −2.59873 | + | 3.57685i | −0.105916 | + | 0.145781i | ||||
\(603\) | −35.3131 | + | 11.4739i | −1.43806 | + | 0.467255i | ||||
\(604\) | −25.7358 | −1.04717 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 80.5893 | 3.27372 | ||||||||
\(607\) | 37.7092 | − | 12.2525i | 1.53057 | − | 0.497313i | 0.581815 | − | 0.813321i | \(-0.302343\pi\) |
0.948756 | + | 0.316009i | \(0.102343\pi\) | |||||||
\(608\) | −15.5593 | + | 21.4155i | −0.631011 | + | 0.868513i | ||||
\(609\) | −10.0601 | + | 7.30908i | −0.407655 | + | 0.296179i | ||||
\(610\) | −4.82758 | + | 10.0849i | −0.195463 | + | 0.408327i | ||||
\(611\) | 6.04672 | − | 18.6099i | 0.244624 | − | 0.752875i | ||||
\(612\) | −15.8932 | − | 21.8751i | −0.642445 | − | 0.884250i | ||||
\(613\) | −2.24234 | + | 3.08631i | −0.0905671 | + | 0.124655i | −0.851896 | − | 0.523711i | \(-0.824547\pi\) |
0.761329 | + | 0.648366i | \(0.224547\pi\) | |||||||
\(614\) | 11.5516 | + | 35.5521i | 0.466184 | + | 1.43477i | ||||
\(615\) | 33.6066 | + | 4.47217i | 1.35515 | + | 0.180335i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 28.4055i | 1.14356i | 0.820407 | + | 0.571781i | \(0.193747\pi\) | ||||
−0.820407 | + | 0.571781i | \(0.806253\pi\) | |||||||
\(618\) | 49.1605 | − | 15.9732i | 1.97752 | − | 0.642537i | ||||
\(619\) | 19.4737 | + | 14.1485i | 0.782715 | + | 0.568676i | 0.905793 | − | 0.423721i | \(-0.139276\pi\) |
−0.123077 | + | 0.992397i | \(0.539276\pi\) | |||||||
\(620\) | −0.932886 | − | 1.72390i | −0.0374656 | − | 0.0692336i | ||||
\(621\) | 2.36499 | − | 7.27869i | 0.0949037 | − | 0.292084i | ||||
\(622\) | −21.8088 | − | 7.08610i | −0.874452 | − | 0.284127i | ||||
\(623\) | 6.92387 | + | 9.52989i | 0.277399 | + | 0.381807i | ||||
\(624\) | 36.4591 | + | 26.4891i | 1.45953 | + | 1.06041i | ||||
\(625\) | −5.33439 | + | 24.4243i | −0.213376 | + | 0.976970i | ||||
\(626\) | −10.3511 | −0.413714 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 8.82059i | − | 0.351980i | ||||||
\(629\) | −6.53462 | − | 20.1115i | −0.260552 | − | 0.801897i | ||||
\(630\) | −11.6522 | + | 12.2446i | −0.464235 | + | 0.487835i | ||||
\(631\) | −15.4697 | + | 11.2394i | −0.615838 | + | 0.447432i | −0.851465 | − | 0.524411i | \(-0.824286\pi\) |
0.235627 | + | 0.971843i | \(0.424286\pi\) | |||||||
\(632\) | −0.184132 | − | 0.0598281i | −0.00732438 | − | 0.00237984i | ||||
\(633\) | 14.5213 | + | 4.71824i | 0.577168 | + | 0.187533i | ||||
\(634\) | 19.3407 | − | 14.0518i | 0.768115 | − | 0.558069i | ||||
\(635\) | −11.4853 | − | 10.9297i | −0.455779 | − | 0.433731i | ||||
\(636\) | 4.51464 | + | 13.8946i | 0.179017 | + | 0.550958i | ||||
\(637\) | − | 27.4546i | − | 1.08779i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 21.0900 | 0.834307 | ||||||||
\(640\) | −0.623212 | − | 3.38897i | −0.0246346 | − | 0.133961i | ||||
\(641\) | −9.69123 | − | 7.04109i | −0.382780 | − | 0.278106i | 0.379710 | − | 0.925105i | \(-0.376024\pi\) |
−0.762491 | + | 0.646999i | \(0.776024\pi\) | |||||||
\(642\) | −23.8208 | − | 32.7865i | −0.940132 | − | 1.29398i | ||||
\(643\) | −24.4810 | − | 7.95435i | −0.965435 | − | 0.313689i | −0.216463 | − | 0.976291i | \(-0.569452\pi\) |
−0.748972 | + | 0.662602i | \(0.769452\pi\) | |||||||
\(644\) | −2.10520 | + | 6.47915i | −0.0829566 | + | 0.255314i | ||||
\(645\) | −6.30857 | − | 11.6578i | −0.248400 | − | 0.459024i | ||||
\(646\) | 17.9049 | + | 13.0086i | 0.704457 | + | 0.511818i | ||||
\(647\) | 8.84699 | − | 2.87456i | 0.347811 | − | 0.113011i | −0.129901 | − | 0.991527i | \(-0.541466\pi\) |
0.477712 | + | 0.878516i | \(0.341466\pi\) | |||||||
\(648\) | 1.08858i | 0.0427636i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −44.1933 | − | 11.9740i | −1.73341 | − | 0.469661i | ||||
\(651\) | −0.327217 | − | 1.00707i | −0.0128246 | − | 0.0394701i | ||||
\(652\) | −20.4117 | + | 28.0943i | −0.799384 | + | 1.10026i | ||||
\(653\) | 22.0129 | + | 30.2982i | 0.861432 | + | 1.18566i | 0.981226 | + | 0.192861i | \(0.0617766\pi\) |
−0.119794 | + | 0.992799i | \(0.538223\pi\) | |||||||
\(654\) | 16.1516 | − | 49.7094i | 0.631576 | − | 1.94379i | ||||
\(655\) | −14.5560 | − | 6.96785i | −0.568750 | − | 0.272256i | ||||
\(656\) | −17.7881 | + | 12.9238i | −0.694510 | + | 0.504591i | ||||
\(657\) | −3.26337 | + | 4.49165i | −0.127316 | + | 0.175236i | ||||
\(658\) | −8.03815 | + | 2.61175i | −0.313360 | + | 0.101817i | ||||
\(659\) | −4.93753 | −0.192339 | −0.0961693 | − | 0.995365i | \(-0.530659\pi\) | ||||
−0.0961693 | + | 0.995365i | \(0.530659\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.82155 | −0.187537 | −0.0937683 | − | 0.995594i | \(-0.529891\pi\) | ||||
−0.0937683 | + | 0.995594i | \(0.529891\pi\) | |||||||
\(662\) | −56.3327 | + | 18.3036i | −2.18943 | + | 0.711389i | ||||
\(663\) | 23.2574 | − | 32.0111i | 0.903244 | − | 1.24321i | ||||
\(664\) | −1.15379 | + | 0.838280i | −0.0447759 | + | 0.0325316i | ||||
\(665\) | 3.05627 | − | 6.38463i | 0.118517 | − | 0.247585i | ||||
\(666\) | 15.3278 | − | 47.1740i | 0.593939 | − | 1.82796i | ||||
\(667\) | −9.72152 | − | 13.3805i | −0.376419 | − | 0.518096i | ||||
\(668\) | 11.2897 | − | 15.5389i | 0.436810 | − | 0.601217i | ||||
\(669\) | 15.4044 | + | 47.4098i | 0.595568 | + | 1.83297i | ||||
\(670\) | −5.73070 | + | 43.0639i | −0.221396 | + | 1.66370i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 20.4415i | − | 0.788548i | ||||||
\(673\) | 31.3031 | − | 10.1710i | 1.20665 | − | 0.392063i | 0.364445 | − | 0.931225i | \(-0.381259\pi\) |
0.842202 | + | 0.539162i | \(0.181259\pi\) | |||||||
\(674\) | 43.6215 | + | 31.6929i | 1.68024 | + | 1.22077i | ||||
\(675\) | −4.04391 | − | 10.6234i | −0.155650 | − | 0.408895i | ||||
\(676\) | 4.84088 | − | 14.8987i | 0.186188 | − | 0.573026i | ||||
\(677\) | 16.3035 | + | 5.29734i | 0.626596 | + | 0.203593i | 0.605067 | − | 0.796175i | \(-0.293146\pi\) |
0.0215294 | + | 0.999768i | \(0.493146\pi\) | |||||||
\(678\) | −15.6439 | − | 21.5320i | −0.600800 | − | 0.826930i | ||||
\(679\) | 2.35914 | + | 1.71401i | 0.0905353 | + | 0.0657778i | ||||
\(680\) | −1.41510 | + | 0.260229i | −0.0542666 | + | 0.00997931i | ||||
\(681\) | 74.5977 | 2.85859 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 19.3586i | 0.740737i | 0.928885 | + | 0.370368i | \(0.120769\pi\) | ||||
−0.928885 | + | 0.370368i | \(0.879231\pi\) | |||||||
\(684\) | 8.20756 | + | 25.2603i | 0.313824 | + | 0.965851i | ||||
\(685\) | 13.7537 | + | 13.0883i | 0.525501 | + | 0.500079i | ||||
\(686\) | −20.6624 | + | 15.0121i | −0.788892 | + | 0.573164i | ||||
\(687\) | 63.2837 | + | 20.5621i | 2.41442 | + | 0.784494i | ||||
\(688\) | 8.17580 | + | 2.65648i | 0.311700 | + | 0.101277i | ||||
\(689\) | −9.74049 | + | 7.07688i | −0.371083 | + | 0.269608i | ||||
\(690\) | −28.9189 | − | 27.5199i | −1.10092 | − | 1.04767i | ||||
\(691\) | −2.82486 | − | 8.69404i | −0.107463 | − | 0.330737i | 0.882838 | − | 0.469678i | \(-0.155630\pi\) |
−0.990301 | + | 0.138941i | \(0.955630\pi\) | |||||||
\(692\) | 8.61097i | 0.327340i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.72467 | 0.331184 | ||||||||
\(695\) | −17.0221 | + | 3.13026i | −0.645685 | + | 0.118738i | ||||
\(696\) | −2.00869 | − | 1.45940i | −0.0761390 | − | 0.0553183i | ||||
\(697\) | 11.3471 | + | 15.6180i | 0.429803 | + | 0.591573i | ||||
\(698\) | −25.3465 | − | 8.23558i | −0.959379 | − | 0.311721i | ||||
\(699\) | −10.1367 | + | 31.1976i | −0.383406 | + | 1.18000i | ||||
\(700\) | 3.59970 | + | 9.45645i | 0.136056 | + | 0.357420i | ||||
\(701\) | −12.3727 | − | 8.98928i | −0.467310 | − | 0.339520i | 0.329082 | − | 0.944301i | \(-0.393261\pi\) |
−0.796392 | + | 0.604781i | \(0.793261\pi\) | |||||||
\(702\) | 19.7995 | − | 6.43325i | 0.747284 | − | 0.242807i | ||||
\(703\) | 20.7719i | 0.783428i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.34254 | − | 25.1179i | 0.125887 | − | 0.945994i | ||||
\(706\) | 15.9405 | + | 49.0597i | 0.599927 | + | 1.84639i | ||||
\(707\) | 8.62683 | − | 11.8738i | 0.324445 | − | 0.446561i | ||||
\(708\) | 32.6792 | + | 44.9790i | 1.22816 | + | 1.69042i | ||||
\(709\) | −13.2608 | + | 40.8126i | −0.498020 | + | 1.53275i | 0.314177 | + | 0.949364i | \(0.398271\pi\) |
−0.812197 | + | 0.583383i | \(0.801729\pi\) | |||||||
\(710\) | 10.6543 | − | 22.2572i | 0.399850 | − | 0.835297i | ||||
\(711\) | 3.14127 | − | 2.28226i | 0.117807 | − | 0.0855916i | ||||
\(712\) | −1.38248 | + | 1.90282i | −0.0518107 | + | 0.0713113i | ||||
\(713\) | 1.33946 | − | 0.435218i | 0.0501633 | − | 0.0162990i | ||||
\(714\) | −17.0905 | −0.639598 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −34.1450 | −1.27606 | ||||||||
\(717\) | −50.8126 | + | 16.5100i | −1.89763 | + | 0.616578i | ||||
\(718\) | 31.2528 | − | 43.0158i | 1.16635 | − | 1.60534i | ||||
\(719\) | 3.89401 | − | 2.82916i | 0.145222 | − | 0.105510i | −0.512802 | − | 0.858507i | \(-0.671393\pi\) |
0.658024 | + | 0.752997i | \(0.271393\pi\) | |||||||
\(720\) | 29.6440 | + | 14.1903i | 1.10477 | + | 0.528843i | ||||
\(721\) | 2.90902 | − | 8.95305i | 0.108338 | − | 0.333429i | ||||
\(722\) | 9.82210 | + | 13.5190i | 0.365541 | + | 0.503124i | ||||
\(723\) | 35.1099 | − | 48.3246i | 1.30575 | − | 1.79721i | ||||
\(724\) | 3.59151 | + | 11.0535i | 0.133477 | + | 0.410801i | ||||
\(725\) | −23.7101 | − | 6.42417i | −0.880571 | − | 0.238588i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 21.8922i | − | 0.811937i | −0.913887 | − | 0.405969i | \(-0.866934\pi\) | ||
0.913887 | − | 0.405969i | \(-0.133066\pi\) | |||||||
\(728\) | −0.801566 | + | 0.260445i | −0.0297080 | + | 0.00965272i | ||||
\(729\) | −32.1218 | − | 23.3378i | −1.18969 | − | 0.864364i | ||||
\(730\) | 3.09163 | + | 5.71309i | 0.114426 | + | 0.211451i | ||||
\(731\) | 2.33239 | − | 7.17836i | 0.0862665 | − | 0.265501i | ||||
\(732\) | −12.9032 | − | 4.19252i | −0.476918 | − | 0.154960i | ||||
\(733\) | 28.2310 | + | 38.8567i | 1.04274 | + | 1.43520i | 0.894940 | + | 0.446187i | \(0.147218\pi\) |
0.147797 | + | 0.989018i | \(0.452782\pi\) | |||||||
\(734\) | 3.30506 | + | 2.40127i | 0.121992 | + | 0.0886324i | ||||
\(735\) | −6.43011 | − | 34.9664i | −0.237178 | − | 1.28975i | ||||
\(736\) | 27.1885 | 1.00218 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 45.2820i | 1.66685i | ||||||||
\(739\) | −10.5398 | − | 32.4380i | −0.387711 | − | 1.19325i | −0.934494 | − | 0.355978i | \(-0.884148\pi\) |
0.546783 | − | 0.837274i | \(-0.315852\pi\) | |||||||
\(740\) | −21.5098 | − | 20.4693i | −0.790718 | − | 0.752466i | ||||
\(741\) | −31.4441 | + | 22.8455i | −1.15513 | + | 0.839251i | ||||
\(742\) | 4.94586 | + | 1.60701i | 0.181568 | + | 0.0589951i | ||||
\(743\) | −25.1461 | − | 8.17046i | −0.922521 | − | 0.299745i | −0.191020 | − | 0.981586i | \(-0.561180\pi\) |
−0.731501 | + | 0.681841i | \(0.761180\pi\) | |||||||
\(744\) | 0.171049 | − | 0.124274i | 0.00627097 | − | 0.00455612i | ||||
\(745\) | −26.0252 | + | 27.3482i | −0.953488 | + | 1.00196i | ||||
\(746\) | 5.54784 | + | 17.0745i | 0.203121 | + | 0.625141i | ||||
\(747\) | − | 28.6019i | − | 1.04649i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.38062 | −0.269682 | ||||||||
\(750\) | −59.0894 | − | 4.89975i | −2.15764 | − | 0.178914i | ||||
\(751\) | −37.1665 | − | 27.0030i | −1.35622 | − | 0.985355i | −0.998675 | − | 0.0514603i | \(-0.983612\pi\) |
−0.357549 | − | 0.933894i | \(-0.616388\pi\) | |||||||
\(752\) | 9.65940 | + | 13.2950i | 0.352242 | + | 0.484819i | ||||
\(753\) | 42.2520 | + | 13.7285i | 1.53975 | + | 0.500295i | ||||
\(754\) | 13.9027 | − | 42.7881i | 0.506306 | − | 1.55825i | ||||
\(755\) | −13.0713 | − | 24.1549i | −0.475715 | − | 0.879085i | ||||
\(756\) | −3.72201 | − | 2.70420i | −0.135368 | − | 0.0983509i | ||||
\(757\) | 29.3455 | − | 9.53493i | 1.06658 | − | 0.346553i | 0.277426 | − | 0.960747i | \(-0.410519\pi\) |
0.789155 | + | 0.614194i | \(0.210519\pi\) | |||||||
\(758\) | − | 42.6271i | − | 1.54828i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.40099 | + | 0.186436i | 0.0508194 | + | 0.00676275i | ||||
\(761\) | 4.38726 | + | 13.5026i | 0.159038 | + | 0.489469i | 0.998548 | − | 0.0538760i | \(-0.0171576\pi\) |
−0.839510 | + | 0.543345i | \(0.817158\pi\) | |||||||
\(762\) | 22.1020 | − | 30.4208i | 0.800672 | − | 1.10203i | ||||
\(763\) | −5.59508 | − | 7.70097i | −0.202555 | − | 0.278794i | ||||
\(764\) | −14.1255 | + | 43.4739i | −0.511044 | + | 1.57283i | ||||
\(765\) | 12.4591 | − | 26.0274i | 0.450461 | − | 0.941024i | ||||
\(766\) | −42.5336 | + | 30.9024i | −1.53680 | + | 1.11655i | ||||
\(767\) | −26.9311 | + | 37.0674i | −0.972425 | + | 1.33843i | ||||
\(768\) | −35.8102 | + | 11.6354i | −1.29219 | + | 0.419858i | ||||
\(769\) | −30.0208 | −1.08258 | −0.541290 | − | 0.840836i | \(-0.682064\pi\) | ||||
−0.541290 | + | 0.840836i | \(0.682064\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −12.4107 | −0.446961 | ||||||||
\(772\) | 44.7947 | − | 14.5547i | 1.61220 | − | 0.523834i | ||||
\(773\) | 17.8859 | − | 24.6179i | 0.643313 | − | 0.885444i | −0.355474 | − | 0.934686i | \(-0.615681\pi\) |
0.998787 | + | 0.0492422i | \(0.0156806\pi\) | |||||||
\(774\) | 14.3230 | − | 10.4063i | 0.514831 | − | 0.374047i | ||||
\(775\) | 1.14419 | − | 1.75116i | 0.0411004 | − | 0.0629036i | ||||
\(776\) | −0.179924 | + | 0.553748i | −0.00645888 | + | 0.0198784i | ||||
\(777\) | −9.42840 | − | 12.9771i | −0.338242 | − | 0.465550i | ||||
\(778\) | 1.95530 | − | 2.69123i | 0.0701007 | − | 0.0964854i | ||||
\(779\) | −5.85988 | − | 18.0348i | −0.209952 | − | 0.646165i | ||||
\(780\) | 7.32892 | − | 55.0739i | 0.262417 | − | 1.97196i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 22.7315i | − | 0.812876i | ||||||
\(783\) | 10.6226 | − | 3.45149i | 0.379621 | − | 0.123346i | ||||
\(784\) | 18.6538 | + | 13.5527i | 0.666206 | + | 0.484027i | ||||
\(785\) | 8.27875 | − | 4.48003i | 0.295481 | − | 0.159899i | ||||
\(786\) | 11.8273 | − | 36.4005i | 0.421864 | − | 1.29836i | ||||
\(787\) | −28.9737 | − | 9.41413i | −1.03280 | − | 0.335577i | −0.256904 | − | 0.966437i | \(-0.582702\pi\) |
−0.775897 | + | 0.630859i | \(0.782702\pi\) | |||||||
\(788\) | 31.7106 | + | 43.6460i | 1.12964 | + | 1.55482i | ||||
\(789\) | −38.3818 | − | 27.8860i | −1.36643 | − | 0.992768i | ||||
\(790\) | −0.821653 | − | 4.46808i | −0.0292331 | − | 0.158967i | ||||
\(791\) | −4.84709 | −0.172343 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 11.1809i | − | 0.397044i | ||||||
\(794\) | −10.4489 | − | 32.1583i | −0.370816 | − | 1.14126i | ||||
\(795\) | −10.7481 | + | 11.2945i | −0.381196 | + | 0.400574i | ||||
\(796\) | −28.7615 | + | 20.8964i | −1.01942 | + | 0.740655i | ||||
\(797\) | −31.4278 | − | 10.2115i | −1.11323 | − | 0.361711i | −0.306050 | − | 0.952015i | \(-0.599008\pi\) |
−0.807180 | + | 0.590305i | \(0.799008\pi\) | |||||||
\(798\) | 15.9662 | + | 5.18773i | 0.565197 | + | 0.183644i | ||||
\(799\) | 11.6730 | − | 8.48095i | 0.412962 | − | 0.300034i | ||||
\(800\) | 31.4534 | − | 25.3253i | 1.11205 | − | 0.895384i | ||||
\(801\) | −14.5763 | − | 44.8613i | −0.515028 | − | 1.58509i | ||||
\(802\) | 56.2421i | 1.98598i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −52.7160 | −1.85915 | ||||||||
\(805\) | −7.15039 | + | 1.31491i | −0.252018 | + | 0.0463447i | ||||
\(806\) | 3.09944 | + | 2.25187i | 0.109173 | + | 0.0793189i | ||||
\(807\) | −3.53975 | − | 4.87204i | −0.124605 | − | 0.171504i | ||||
\(808\) | 2.78708 | + | 0.905577i | 0.0980491 | + | 0.0318581i | ||||
\(809\) | 3.39595 | − | 10.4517i | 0.119395 | − | 0.367461i | −0.873443 | − | 0.486926i | \(-0.838118\pi\) |
0.992838 | + | 0.119465i | \(0.0381180\pi\) | |||||||
\(810\) | −22.4651 | + | 12.1569i | −0.789343 | + | 0.427151i | ||||
\(811\) | 32.9745 | + | 23.9573i | 1.15789 | + | 0.841256i | 0.989510 | − | 0.144466i | \(-0.0461464\pi\) |
0.168380 | + | 0.985722i | \(0.446146\pi\) | |||||||
\(812\) | −9.45574 | + | 3.07235i | −0.331831 | + | 0.107819i | ||||
\(813\) | − | 2.11138i | − | 0.0740494i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −36.7358 | − | 4.88858i | −1.28680 | − | 0.171240i | ||||
\(816\) | 10.2688 | + | 31.6041i | 0.359480 | + | 1.10637i | ||||
\(817\) | −4.35789 | + | 5.99812i | −0.152463 | + | 0.209848i | ||||
\(818\) | −46.9052 | − | 64.5594i | −1.64000 | − | 2.25727i | ||||
\(819\) | 5.22324 | − | 16.0755i | 0.182515 | − | 0.561722i | ||||
\(820\) | 24.4500 | + | 11.7040i | 0.853832 | + | 0.408723i | ||||
\(821\) | 12.2223 | − | 8.88003i | 0.426562 | − | 0.309915i | −0.353711 | − | 0.935355i | \(-0.615080\pi\) |
0.780273 | + | 0.625439i | \(0.215080\pi\) | |||||||
\(822\) | −26.4673 | + | 36.4291i | −0.923152 | + | 1.27061i | ||||
\(823\) | 34.6482 | − | 11.2579i | 1.20776 | − | 0.392425i | 0.365150 | − | 0.930949i | \(-0.381018\pi\) |
0.842610 | + | 0.538524i | \(0.181018\pi\) | |||||||
\(824\) | 1.87964 | 0.0654805 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 19.7901 | 0.688585 | ||||||||
\(827\) | 3.61727 | − | 1.17532i | 0.125785 | − | 0.0408700i | −0.245448 | − | 0.969410i | \(-0.578935\pi\) |
0.371233 | + | 0.928540i | \(0.378935\pi\) | |||||||
\(828\) | 16.0348 | − | 22.0701i | 0.557250 | − | 0.766988i | ||||
\(829\) | −22.0912 | + | 16.0502i | −0.767261 | + | 0.557447i | −0.901129 | − | 0.433552i | \(-0.857260\pi\) |
0.133868 | + | 0.990999i | \(0.457260\pi\) | |||||||
\(830\) | −30.1848 | − | 14.4492i | −1.04773 | − | 0.501540i | ||||
\(831\) | −9.58238 | + | 29.4915i | −0.332409 | + | 1.02305i | ||||
\(832\) | 23.2553 | + | 32.0082i | 0.806234 | + | 1.10969i | ||||
\(833\) | 11.8993 | − | 16.3780i | 0.412287 | − | 0.567464i | ||||
\(834\) | −12.6845 | − | 39.0390i | −0.439230 | − | 1.35181i | ||||
\(835\) | 20.3184 | + | 2.70386i | 0.703148 | + | 0.0935710i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.951115i | 0.0328754i | ||||||||
\(838\) | 28.4485 | − | 9.24348i | 0.982738 | − | 0.319311i | ||||
\(839\) | 22.9154 | + | 16.6490i | 0.791128 | + | 0.574788i | 0.908298 | − | 0.418324i | \(-0.137382\pi\) |
−0.117170 | + | 0.993112i | \(0.537382\pi\) | |||||||
\(840\) | −0.959882 | + | 0.519438i | −0.0331191 | + | 0.0179223i | ||||
\(841\) | −1.50258 | + | 4.62448i | −0.0518132 | + | 0.159465i | ||||
\(842\) | −20.7424 | − | 6.73960i | −0.714829 | − | 0.232262i | ||||
\(843\) | 9.59527 | + | 13.2068i | 0.330479 | + | 0.454865i | ||||
\(844\) | 9.87645 | + | 7.17566i | 0.339961 | + | 0.246996i | ||||
\(845\) | 16.4422 | − | 3.02362i | 0.565629 | − | 0.104016i | ||||
\(846\) | 33.8442 | 1.16359 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 10.1115i | − | 0.347232i | ||||||
\(849\) | 7.00132 | + | 21.5478i | 0.240285 | + | 0.739520i | ||||
\(850\) | −21.1737 | − | 26.2973i | −0.726253 | − | 0.901990i | ||||
\(851\) | 17.2603 | − | 12.5403i | 0.591676 | − | 0.429877i | ||||
\(852\) | 28.4771 | + | 9.25276i | 0.975608 | + | 0.316994i | ||||
\(853\) | 7.93484 | + | 2.57818i | 0.271684 | + | 0.0882754i | 0.441690 | − | 0.897168i | \(-0.354379\pi\) |
−0.170007 | + | 0.985443i | \(0.554379\pi\) | |||||||
\(854\) | −3.90702 | + | 2.83862i | −0.133695 | + | 0.0971354i | ||||
\(855\) | −19.5399 | + | 20.5332i | −0.668251 | + | 0.702222i | ||||
\(856\) | −0.455392 | − | 1.40155i | −0.0155650 | − | 0.0479041i | ||||
\(857\) | 8.59547i | 0.293616i | 0.989165 | + | 0.146808i | \(0.0468999\pi\) | ||||
−0.989165 | + | 0.146808i | \(0.953100\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.40807 | −0.320999 | −0.160500 | − | 0.987036i | \(-0.551311\pi\) | ||||
−0.160500 | + | 0.987036i | \(0.551311\pi\) | |||||||
\(860\) | −1.91681 | − | 10.4234i | −0.0653626 | − | 0.355436i | ||||
\(861\) | 11.8469 | + | 8.60731i | 0.403743 | + | 0.293336i | ||||
\(862\) | 38.2916 | + | 52.7039i | 1.30422 | + | 1.79510i | ||||
\(863\) | 9.82067 | + | 3.19093i | 0.334299 | + | 0.108620i | 0.471357 | − | 0.881943i | \(-0.343764\pi\) |
−0.137057 | + | 0.990563i | \(0.543764\pi\) | |||||||
\(864\) | −5.67382 | + | 17.4622i | −0.193027 | + | 0.594077i | ||||
\(865\) | −8.08201 | + | 4.37356i | −0.274797 | + | 0.148706i | ||||
\(866\) | −0.626441 | − | 0.455136i | −0.0212873 | − | 0.0154662i | ||||
\(867\) | −14.6213 | + | 4.75074i | −0.496564 | + | 0.161343i | ||||
\(868\) | − | 0.846638i | − | 0.0287368i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 7.68522 | − | 57.7514i | 0.260553 | − | 1.95795i | ||||
\(871\) | −13.4248 | − | 41.3173i | −0.454882 | − | 1.39998i | ||||
\(872\) | 1.11716 | − | 1.53764i | 0.0378319 | − | 0.0520712i | ||||
\(873\) | −6.86355 | − | 9.44686i | −0.232296 | − | 0.319728i | ||||
\(874\) | −6.89999 | + | 21.2360i | −0.233396 | + | 0.718318i | ||||
\(875\) | −7.04725 | + | 8.18157i | −0.238240 | + | 0.276588i | ||||
\(876\) | −6.37703 | + | 4.63318i | −0.215460 | + | 0.156541i | ||||
\(877\) | −17.5179 | + | 24.1113i | −0.591536 | + | 0.814180i | −0.994901 | − | 0.100859i | \(-0.967841\pi\) |
0.403364 | + | 0.915039i | \(0.367841\pi\) | |||||||
\(878\) | −51.0665 | + | 16.5925i | −1.72341 | + | 0.559970i | ||||
\(879\) | −15.2269 | −0.513591 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 30.1175 | 1.01469 | 0.507343 | − | 0.861744i | \(-0.330628\pi\) | ||||
0.507343 | + | 0.861744i | \(0.330628\pi\) | |||||||
\(882\) | 45.1615 | − | 14.6739i | 1.52067 | − | 0.494095i | ||||
\(883\) | −29.6020 | + | 40.7436i | −0.996185 | + | 1.37113i | −0.0685488 | + | 0.997648i | \(0.521837\pi\) |
−0.927637 | + | 0.373484i | \(0.878163\pi\) | |||||||
\(884\) | 25.5945 | − | 18.5955i | 0.860835 | − | 0.625433i | ||||
\(885\) | −25.6181 | + | 53.5169i | −0.861143 | + | 1.79895i | ||||
\(886\) | −9.06824 | + | 27.9092i | −0.304653 | + | 0.937627i | ||||
\(887\) | 24.3375 | + | 33.4977i | 0.817173 | + | 1.12474i | 0.990177 | + | 0.139821i | \(0.0446528\pi\) |
−0.173003 | + | 0.984921i | \(0.555347\pi\) | |||||||
\(888\) | 1.88256 | − | 2.59112i | 0.0631745 | − | 0.0869522i | ||||
\(889\) | −2.11617 | − | 6.51291i | −0.0709741 | − | 0.218436i | ||||
\(890\) | −54.7077 | − | 7.28019i | −1.83381 | − | 0.244033i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 39.8572i | 1.33452i | ||||||||
\(893\) | −13.4794 | + | 4.37973i | −0.451071 | + | 0.146562i | ||||
\(894\) | −72.4365 | − | 52.6282i | −2.42264 | − | 1.76015i | ||||
\(895\) | −17.3425 | − | 32.0476i | −0.579695 | − | 1.07123i | ||||
\(896\) | 0.459923 | − | 1.41550i | 0.0153649 | − | 0.0472884i | ||||
\(897\) | 37.9667 | + | 12.3361i | 1.26767 | + | 0.411891i | ||||
\(898\) | 12.0305 | + | 16.5586i | 0.401463 | + | 0.552567i | ||||
\(899\) | 1.66287 | + | 1.20815i | 0.0554600 | + | 0.0402940i | ||||
\(900\) | −2.00746 | − | 40.4682i | −0.0669153 | − | 1.34894i | ||||
\(901\) | −8.87793 | −0.295767 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 5.72532i | − | 0.190527i | ||||||
\(904\) | −0.299071 | − | 0.920445i | −0.00994694 | − | 0.0306135i | ||||
\(905\) | −8.55038 | + | 8.98504i | −0.284224 | + | 0.298673i | ||||
\(906\) | 52.6977 | − | 38.2872i | 1.75077 | − | 1.27201i | ||||
\(907\) | −4.40544 | − | 1.43142i | −0.146280 | − | 0.0475294i | 0.234962 | − | 0.972005i | \(-0.424504\pi\) |
−0.381242 | + | 0.924475i | \(0.624504\pi\) | |||||||
\(908\) | 56.7253 | + | 18.4312i | 1.88249 | + | 0.611660i | ||||
\(909\) | −47.5472 | + | 34.5451i | −1.57704 | + | 1.14579i | ||||
\(910\) | −14.3264 | − | 13.6334i | −0.474917 | − | 0.451942i | ||||
\(911\) | 2.15649 | + | 6.63699i | 0.0714477 | + | 0.219893i | 0.980404 | − | 0.196998i | \(-0.0631194\pi\) |
−0.908956 | + | 0.416892i | \(0.863119\pi\) | |||||||
\(912\) | − | 32.6419i | − | 1.08088i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 79.1032 | 2.61650 | ||||||||
\(915\) | −2.61866 | − | 14.2400i | −0.0865701 | − | 0.470761i | ||||
\(916\) | 43.0416 | + | 31.2716i | 1.42213 | + | 1.03324i | ||||
\(917\) | −4.09709 | − | 5.63916i | −0.135298 | − | 0.186221i | ||||
\(918\) | 14.5997 | + | 4.74372i | 0.481860 | + | 0.156566i | ||||
\(919\) | −7.23738 | + | 22.2744i | −0.238739 | + | 0.734763i | 0.757864 | + | 0.652412i | \(0.226243\pi\) |
−0.996603 | + | 0.0823512i | \(0.973757\pi\) | |||||||
\(920\) | −0.690884 | − | 1.27670i | −0.0227778 | − | 0.0420916i | ||||
\(921\) | −39.1628 | − | 28.4535i | −1.29046 | − | 0.937574i | ||||
\(922\) | 75.3154 | − | 24.4714i | 2.48038 | − | 0.805924i | ||||
\(923\) | 24.6758i | 0.812215i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.28691 | − | 30.5850i | 0.272472 | − | 1.00563i | ||||
\(926\) | −8.07887 | − | 24.8642i | −0.265488 | − | 0.817088i | ||||
\(927\) | −22.1574 | + | 30.4970i | −0.727744 | + | 1.00165i | ||||
\(928\) | 23.3228 | + | 32.1011i | 0.765608 | + | 1.05377i | ||||
\(929\) | 5.59027 | − | 17.2051i | 0.183411 | − | 0.564480i | −0.816507 | − | 0.577336i | \(-0.804092\pi\) |
0.999917 | + | 0.0128560i | \(0.00409231\pi\) | |||||||
\(930\) | 4.47488 | + | 2.14209i | 0.146737 | + | 0.0702418i | ||||
\(931\) | −16.0879 | + | 11.6886i | −0.527260 | + | 0.383077i | ||||
\(932\) | −15.4162 | + | 21.2186i | −0.504976 | + | 0.695039i | ||||
\(933\) | 28.2415 | − | 9.17623i | 0.924586 | − | 0.300416i | ||||
\(934\) | 22.7646 | 0.744881 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.37495 | 0.110314 | ||||||||
\(937\) | 10.4708 | − | 3.40215i | 0.342065 | − | 0.111144i | −0.132947 | − | 0.991123i | \(-0.542444\pi\) |
0.475011 | + | 0.879980i | \(0.342444\pi\) | |||||||
\(938\) | −11.0295 | + | 15.1808i | −0.360127 | + | 0.495672i | ||||
\(939\) | 10.8443 | − | 7.87885i | 0.353891 | − | 0.257117i | ||||
\(940\) | 8.74771 | − | 18.2742i | 0.285319 | − | 0.596038i | ||||
\(941\) | −10.4388 | + | 32.1275i | −0.340297 | + | 1.04733i | 0.623757 | + | 0.781618i | \(0.285605\pi\) |
−0.964054 | + | 0.265707i | \(0.914395\pi\) | |||||||
\(942\) | 13.1224 | + | 18.0615i | 0.427551 | + | 0.588474i | ||||
\(943\) | −11.4482 | + | 15.7572i | −0.372806 | + | 0.513124i | ||||
\(944\) | −11.8908 | − | 36.5961i | −0.387013 | − | 1.19110i | ||||
\(945\) | 0.647654 | − | 4.86686i | 0.0210682 | − | 0.158319i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 46.9853i | − | 1.52682i | −0.645915 | − | 0.763409i | \(-0.723524\pi\) | ||
0.645915 | − | 0.763409i | \(-0.276476\pi\) | |||||||
\(948\) | 5.24284 | − | 1.70350i | 0.170279 | − | 0.0553271i | ||||
\(949\) | −5.25534 | − | 3.81823i | −0.170596 | − | 0.123945i | ||||
\(950\) | 11.7984 | + | 30.9944i | 0.382789 | + | 1.00559i | ||||
\(951\) | −9.56650 | + | 29.4427i | −0.310215 | + | 0.954744i | ||||
\(952\) | −0.591055 | − | 0.192045i | −0.0191562 | − | 0.00622423i | ||||
\(953\) | −24.9754 | − | 34.3757i | −0.809032 | − | 1.11354i | −0.991472 | − | 0.130320i | \(-0.958400\pi\) |
0.182440 | − | 0.983217i | \(-0.441600\pi\) | |||||||
\(954\) | −16.8472 | − | 12.2402i | −0.545449 | − | 0.396292i | ||||
\(955\) | −47.9778 | + | 8.82284i | −1.55253 | + | 0.285500i | ||||
\(956\) | −42.7180 | −1.38160 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 42.4291i | 1.37082i | ||||||||
\(959\) | 2.53413 | + | 7.79924i | 0.0818312 | + | 0.251850i | ||||
\(960\) | 37.1148 | + | 35.3193i | 1.19787 | + | 1.13993i | ||||
\(961\) | 24.9379 | − | 18.1185i | 0.804449 | − | 0.584467i | ||||
\(962\) | 55.1948 | + | 17.9339i | 1.77955 | + | 0.578211i | ||||
\(963\) | 28.1082 | + | 9.13292i | 0.905776 | + | 0.294304i | ||||
\(964\) | 38.6379 | − | 28.0721i | 1.24444 | − | 0.904140i | ||||
\(965\) | 36.4121 | + | 34.6506i | 1.17215 | + | 1.11544i | ||||
\(966\) | −5.32833 | − | 16.3989i | −0.171436 | − | 0.527627i | ||||
\(967\) | − | 54.1642i | − | 1.74180i | −0.491458 | − | 0.870901i | \(-0.663536\pi\) | ||
0.491458 | − | 0.870901i | \(-0.336464\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −28.6596 | −0.920680 | ||||||||
\(970\) | −13.4370 | + | 2.47099i | −0.431437 | + | 0.0793388i | ||||
\(971\) | −4.23802 | − | 3.07910i | −0.136004 | − | 0.0988130i | 0.517703 | − | 0.855560i | \(-0.326787\pi\) |
−0.653707 | + | 0.756747i | \(0.726787\pi\) | |||||||
\(972\) | −26.6184 | − | 36.6370i | −0.853784 | − | 1.17513i | ||||
\(973\) | −7.10974 | − | 2.31009i | −0.227928 | − | 0.0740582i | ||||
\(974\) | −14.1136 | + | 43.4373i | −0.452230 | + | 1.39182i | ||||
\(975\) | 55.4132 | − | 21.0936i | 1.77464 | − | 0.675537i | ||||
\(976\) | 7.59673 | + | 5.51935i | 0.243165 | + | 0.176670i | ||||
\(977\) | 7.40057 | − | 2.40459i | 0.236765 | − | 0.0769297i | −0.188231 | − | 0.982125i | \(-0.560275\pi\) |
0.424996 | + | 0.905195i | \(0.360275\pi\) | |||||||
\(978\) | − | 87.8938i | − | 2.81053i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 3.74973 | − | 28.1777i | 0.119781 | − | 0.900104i | ||||
\(981\) | 11.7789 | + | 36.2517i | 0.376071 | + | 1.15743i | ||||
\(982\) | 23.8805 | − | 32.8686i | 0.762056 | − | 1.04888i | ||||
\(983\) | 30.2789 | + | 41.6754i | 0.965748 | + | 1.32924i | 0.944166 | + | 0.329471i | \(0.106871\pi\) |
0.0215828 | + | 0.999767i | \(0.493129\pi\) | |||||||
\(984\) | −0.903528 | + | 2.78077i | −0.0288034 | + | 0.0886478i | ||||
\(985\) | −24.8588 | + | 51.9308i | −0.792068 | + | 1.65465i | ||||
\(986\) | 26.8388 | − | 19.4995i | 0.854721 | − | 0.620991i | ||||
\(987\) | 6.43318 | − | 8.85452i | 0.204771 | − | 0.281842i | ||||
\(988\) | −29.5552 | + | 9.60306i | −0.940276 | + | 0.305514i | ||||
\(989\) | 7.61503 | 0.242144 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.3382 | −0.709596 | −0.354798 | − | 0.934943i | \(-0.615450\pi\) | ||||
−0.354798 | + | 0.934943i | \(0.615450\pi\) | |||||||
\(992\) | −3.21349 | + | 1.04413i | −0.102028 | + | 0.0331511i | ||||
\(993\) | 45.0848 | − | 62.0539i | 1.43072 | − | 1.96922i | ||||
\(994\) | 8.62267 | − | 6.26474i | 0.273495 | − | 0.198705i | ||||
\(995\) | −34.2209 | − | 16.3813i | −1.08488 | − | 0.519322i | ||||
\(996\) | 12.5484 | − | 38.6201i | 0.397613 | − | 1.22373i | ||||
\(997\) | 0.108473 | + | 0.149301i | 0.00343539 | + | 0.00472840i | 0.810731 | − | 0.585419i | \(-0.199070\pi\) |
−0.807296 | + | 0.590147i | \(0.799070\pi\) | |||||||
\(998\) | −5.53333 | + | 7.61597i | −0.175154 | + | 0.241079i | ||||
\(999\) | 4.45227 | + | 13.7027i | 0.140864 | + | 0.433534i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))