Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.e (of order \(3\), degree \(2\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.4406832.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{5} + 6x^{4} + 7x^{3} + 24x^{2} + 5x + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.3 | ||
Root | \(-0.827721 - 1.43366i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.79 |
Dual form | 637.2.e.k.508.3 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32772 | − | 2.29968i | 0.938841 | − | 1.62612i | 0.171203 | − | 0.985236i | \(-0.445235\pi\) |
0.767638 | − | 0.640884i | \(-0.221432\pi\) | |||||||
\(3\) | −1.19797 | − | 2.07494i | −0.691646 | − | 1.19797i | −0.971298 | − | 0.237865i | \(-0.923553\pi\) |
0.279652 | − | 0.960101i | \(-0.409781\pi\) | |||||||
\(4\) | −2.52569 | − | 4.37462i | −1.26284 | − | 2.18731i | ||||
\(5\) | −1.82772 | + | 3.16571i | −0.817382 | + | 1.41575i | 0.0902232 | + | 0.995922i | \(0.471242\pi\) |
−0.907605 | + | 0.419825i | \(0.862091\pi\) | |||||||
\(6\) | −6.36226 | −2.59738 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −8.10275 | −2.86475 | ||||||||
\(9\) | −1.37024 | + | 2.37333i | −0.456748 | + | 0.791111i | ||||
\(10\) | 4.85341 | + | 8.40635i | 1.53478 | + | 2.65832i | ||||
\(11\) | −0.327721 | − | 0.567630i | −0.0988117 | − | 0.171147i | 0.812381 | − | 0.583126i | \(-0.198171\pi\) |
−0.911193 | + | 0.411980i | \(0.864837\pi\) | |||||||
\(12\) | −6.05137 | + | 10.4813i | −1.74688 | + | 3.02569i | ||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 8.75819 | 2.26136 | ||||||||
\(16\) | −5.70682 | + | 9.88450i | −1.42670 | + | 2.47112i | ||||
\(17\) | −1.19797 | − | 2.07494i | −0.290549 | − | 0.503246i | 0.683390 | − | 0.730053i | \(-0.260505\pi\) |
−0.973940 | + | 0.226807i | \(0.927171\pi\) | |||||||
\(18\) | 3.63861 | + | 6.30225i | 0.857628 | + | 1.48545i | ||||
\(19\) | 1.35341 | − | 2.34417i | 0.310493 | − | 0.537790i | −0.667976 | − | 0.744183i | \(-0.732839\pi\) |
0.978469 | + | 0.206393i | \(0.0661725\pi\) | |||||||
\(20\) | 18.4650 | 4.12890 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.74049 | −0.371074 | ||||||||
\(23\) | −3.68113 | + | 6.37590i | −0.767569 | + | 1.32947i | 0.171309 | + | 0.985217i | \(0.445200\pi\) |
−0.938878 | + | 0.344250i | \(0.888133\pi\) | |||||||
\(24\) | 9.70682 | + | 16.8127i | 1.98140 | + | 3.43188i | ||||
\(25\) | −4.18113 | − | 7.24193i | −0.836226 | − | 1.44839i | ||||
\(26\) | −1.32772 | + | 2.29968i | −0.260388 | + | 0.451004i | ||||
\(27\) | −0.621770 | −0.119660 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.208136 | −0.0386499 | −0.0193250 | − | 0.999813i | \(-0.506152\pi\) | ||||
−0.0193250 | + | 0.999813i | \(0.506152\pi\) | |||||||
\(30\) | 11.6284 | − | 20.1410i | 2.12305 | − | 3.67723i | ||||
\(31\) | 0.568211 | + | 0.984170i | 0.102054 | + | 0.176762i | 0.912531 | − | 0.409008i | \(-0.134125\pi\) |
−0.810477 | + | 0.585771i | \(0.800792\pi\) | |||||||
\(32\) | 7.05137 | + | 12.2133i | 1.24652 | + | 2.15903i | ||||
\(33\) | −0.785198 | + | 1.36000i | −0.136685 | + | 0.236746i | ||||
\(34\) | −6.36226 | −1.09112 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 13.8432 | 2.30721 | ||||||||
\(37\) | 3.72365 | − | 6.44956i | 0.612165 | − | 1.06030i | −0.378710 | − | 0.925515i | \(-0.623632\pi\) |
0.990875 | − | 0.134785i | \(-0.0430344\pi\) | |||||||
\(38\) | −3.59390 | − | 6.22481i | −0.583007 | − | 1.00980i | ||||
\(39\) | 1.19797 | + | 2.07494i | 0.191828 | + | 0.332256i | ||||
\(40\) | 14.8096 | − | 25.6509i | 2.34160 | − | 4.05577i | ||||
\(41\) | −10.2055 | −1.59383 | −0.796915 | − | 0.604091i | \(-0.793536\pi\) | ||||
−0.796915 | + | 0.604091i | \(0.793536\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.10275 | −0.473165 | −0.236582 | − | 0.971611i | \(-0.576027\pi\) | ||||
−0.236582 | + | 0.971611i | \(0.576027\pi\) | |||||||
\(44\) | −1.65544 | + | 2.86731i | −0.249567 | + | 0.432263i | ||||
\(45\) | −5.00885 | − | 8.67558i | −0.746675 | − | 1.29328i | ||||
\(46\) | 9.77503 | + | 16.9308i | 1.44125 | + | 2.49632i | ||||
\(47\) | −2.30203 | + | 3.98724i | −0.335786 | + | 0.581599i | −0.983636 | − | 0.180170i | \(-0.942335\pi\) |
0.647849 | + | 0.761768i | \(0.275669\pi\) | |||||||
\(48\) | 27.3463 | 3.94710 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −22.2055 | −3.14033 | ||||||||
\(51\) | −2.87024 | + | 4.97141i | −0.401915 | + | 0.696137i | ||||
\(52\) | 2.52569 | + | 4.37462i | 0.350250 | + | 0.606650i | ||||
\(53\) | −2.62976 | − | 4.55487i | −0.361225 | − | 0.625659i | 0.626938 | − | 0.779069i | \(-0.284308\pi\) |
−0.988163 | + | 0.153410i | \(0.950975\pi\) | |||||||
\(54\) | −0.825537 | + | 1.42987i | −0.112341 | + | 0.194581i | ||||
\(55\) | 2.39593 | 0.323067 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.48535 | −0.859005 | ||||||||
\(58\) | −0.276347 | + | 0.478647i | −0.0362861 | + | 0.0628494i | ||||
\(59\) | −4.12976 | − | 7.15295i | −0.537648 | − | 0.931234i | −0.999030 | − | 0.0440325i | \(-0.985979\pi\) |
0.461382 | − | 0.887202i | \(-0.347354\pi\) | |||||||
\(60\) | −22.1204 | − | 38.3137i | −2.85574 | − | 4.94628i | ||||
\(61\) | 0.948626 | − | 1.64307i | 0.121459 | − | 0.210373i | −0.798884 | − | 0.601485i | \(-0.794576\pi\) |
0.920343 | + | 0.391112i | \(0.127909\pi\) | |||||||
\(62\) | 3.01770 | 0.383248 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 14.6218 | 1.82772 | ||||||||
\(65\) | 1.82772 | − | 3.16571i | 0.226701 | − | 0.392657i | ||||
\(66\) | 2.08505 | + | 3.61141i | 0.256652 | + | 0.444534i | ||||
\(67\) | 6.44731 | + | 11.1671i | 0.787664 | + | 1.36427i | 0.927395 | + | 0.374084i | \(0.122043\pi\) |
−0.139731 | + | 0.990190i | \(0.544624\pi\) | |||||||
\(68\) | −6.05137 | + | 10.4813i | −0.733837 | + | 1.27104i | ||||
\(69\) | 17.6395 | 2.12354 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.75819 | −0.802050 | −0.401025 | − | 0.916067i | \(-0.631346\pi\) | ||||
−0.401025 | + | 0.916067i | \(0.631346\pi\) | |||||||
\(72\) | 11.1027 | − | 19.2305i | 1.30847 | − | 2.26634i | ||||
\(73\) | −6.26836 | − | 10.8571i | −0.733656 | − | 1.27073i | −0.955310 | − | 0.295604i | \(-0.904479\pi\) |
0.221654 | − | 0.975125i | \(-0.428854\pi\) | |||||||
\(74\) | −9.88795 | − | 17.1264i | −1.14945 | − | 1.99091i | ||||
\(75\) | −10.0177 | + | 17.3512i | −1.15674 | + | 2.00354i | ||||
\(76\) | −13.6731 | −1.56842 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 6.36226 | 0.720384 | ||||||||
\(79\) | 0.759511 | − | 1.31551i | 0.0854516 | − | 0.148007i | −0.820132 | − | 0.572174i | \(-0.806100\pi\) |
0.905584 | + | 0.424168i | \(0.139433\pi\) | |||||||
\(80\) | −20.8609 | − | 36.1322i | −2.33232 | − | 4.03970i | ||||
\(81\) | 4.85559 | + | 8.41013i | 0.539510 | + | 0.934459i | ||||
\(82\) | −13.5501 | + | 23.4694i | −1.49635 | + | 2.59176i | ||||
\(83\) | 15.7582 | 1.72969 | 0.864843 | − | 0.502042i | \(-0.167418\pi\) | ||||
0.864843 | + | 0.502042i | \(0.167418\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.75819 | 0.949959 | ||||||||
\(86\) | −4.11958 | + | 7.13533i | −0.444226 | + | 0.769422i | ||||
\(87\) | 0.249340 | + | 0.431870i | 0.0267321 | + | 0.0463013i | ||||
\(88\) | 2.65544 | + | 4.59936i | 0.283071 | + | 0.490294i | ||||
\(89\) | 7.40478 | − | 12.8255i | 0.784905 | − | 1.35950i | −0.144150 | − | 0.989556i | \(-0.546045\pi\) |
0.929056 | − | 0.369940i | \(-0.120622\pi\) | |||||||
\(90\) | −26.6014 | −2.80404 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 37.1895 | 3.87728 | ||||||||
\(93\) | 1.36139 | − | 2.35800i | 0.141170 | − | 0.244514i | ||||
\(94\) | 6.11292 | + | 10.5879i | 0.630499 | + | 1.09206i | ||||
\(95\) | 4.94731 | + | 8.56899i | 0.507583 | + | 0.879159i | ||||
\(96\) | 16.8946 | − | 29.2623i | 1.72430 | − | 2.98657i | ||||
\(97\) | −10.0177 | −1.01714 | −0.508572 | − | 0.861020i | \(-0.669826\pi\) | ||||
−0.508572 | + | 0.861020i | \(0.669826\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.79623 | 0.180528 | ||||||||
\(100\) | −21.1204 | + | 36.5817i | −2.11204 | + | 3.65817i | ||||
\(101\) | 1.50885 | + | 2.61341i | 0.150136 | + | 0.260044i | 0.931277 | − | 0.364311i | \(-0.118695\pi\) |
−0.781141 | + | 0.624354i | \(0.785362\pi\) | |||||||
\(102\) | 7.62177 | + | 13.2013i | 0.754668 | + | 1.30712i | ||||
\(103\) | 2.51902 | − | 4.36307i | 0.248207 | − | 0.429906i | −0.714822 | − | 0.699307i | \(-0.753492\pi\) |
0.963028 | + | 0.269400i | \(0.0868255\pi\) | |||||||
\(104\) | 8.10275 | 0.794540 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −13.9663 | −1.35653 | ||||||||
\(107\) | −5.92162 | + | 10.2565i | −0.572465 | + | 0.991538i | 0.423848 | + | 0.905734i | \(0.360679\pi\) |
−0.996312 | + | 0.0858041i | \(0.972654\pi\) | |||||||
\(108\) | 1.57040 | + | 2.72000i | 0.151111 | + | 0.261733i | ||||
\(109\) | −1.77503 | − | 3.07444i | −0.170017 | − | 0.294478i | 0.768409 | − | 0.639959i | \(-0.221049\pi\) |
−0.938425 | + | 0.345482i | \(0.887716\pi\) | |||||||
\(110\) | 3.18113 | − | 5.50988i | 0.303309 | − | 0.525346i | ||||
\(111\) | −17.8432 | −1.69361 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.46501 | −0.890393 | −0.445197 | − | 0.895433i | \(-0.646866\pi\) | ||||
−0.445197 | + | 0.895433i | \(0.646866\pi\) | |||||||
\(114\) | −8.61073 | + | 14.9142i | −0.806469 | + | 1.39685i | ||||
\(115\) | −13.4562 | − | 23.3067i | −1.25479 | − | 2.17337i | ||||
\(116\) | 0.525687 | + | 0.910517i | 0.0488088 | + | 0.0845394i | ||||
\(117\) | 1.37024 | − | 2.37333i | 0.126679 | − | 0.219415i | ||||
\(118\) | −21.9327 | −2.01906 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −70.9654 | −6.47823 | ||||||||
\(121\) | 5.28520 | − | 9.15423i | 0.480473 | − | 0.832203i | ||||
\(122\) | −2.51902 | − | 4.36307i | −0.228061 | − | 0.395014i | ||||
\(123\) | 12.2258 | + | 21.1758i | 1.10237 | + | 1.90936i | ||||
\(124\) | 2.87024 | − | 4.97141i | 0.257756 | − | 0.446446i | ||||
\(125\) | 12.2905 | 1.09930 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.46765 | 0.485175 | 0.242588 | − | 0.970130i | \(-0.422004\pi\) | ||||
0.242588 | + | 0.970130i | \(0.422004\pi\) | |||||||
\(128\) | 5.31088 | − | 9.19872i | 0.469420 | − | 0.813060i | ||||
\(129\) | 3.71699 | + | 6.43801i | 0.327262 | + | 0.566835i | ||||
\(130\) | −4.85341 | − | 8.40635i | −0.425672 | − | 0.737286i | ||||
\(131\) | −4.91495 | + | 8.51295i | −0.429421 | + | 0.743780i | −0.996822 | − | 0.0796622i | \(-0.974616\pi\) |
0.567400 | + | 0.823442i | \(0.307949\pi\) | |||||||
\(132\) | 7.93265 | 0.690449 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 34.2409 | 2.95796 | ||||||||
\(135\) | 1.13642 | − | 1.96834i | 0.0978076 | − | 0.169408i | ||||
\(136\) | 9.70682 | + | 16.8127i | 0.832353 | + | 1.44168i | ||||
\(137\) | −8.77503 | − | 15.1988i | −0.749701 | − | 1.29852i | −0.947966 | − | 0.318372i | \(-0.896864\pi\) |
0.198265 | − | 0.980149i | \(-0.436469\pi\) | |||||||
\(138\) | 23.4203 | − | 40.5651i | 1.99367 | − | 3.45313i | ||||
\(139\) | −4.91495 | −0.416881 | −0.208440 | − | 0.978035i | \(-0.566839\pi\) | ||||
−0.208440 | + | 0.978035i | \(0.566839\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.0310 | 0.928981 | ||||||||
\(142\) | −8.97299 | + | 15.5417i | −0.752997 | + | 1.30423i | ||||
\(143\) | 0.327721 | + | 0.567630i | 0.0274054 | + | 0.0474676i | ||||
\(144\) | −15.6395 | − | 27.0884i | −1.30329 | − | 2.25736i | ||||
\(145\) | 0.380415 | − | 0.658898i | 0.0315918 | − | 0.0547185i | ||||
\(146\) | −33.2905 | −2.75515 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −37.6191 | −3.09227 | ||||||||
\(149\) | 5.17096 | − | 8.95636i | 0.423621 | − | 0.733734i | −0.572669 | − | 0.819787i | \(-0.694092\pi\) |
0.996291 | + | 0.0860527i | \(0.0274253\pi\) | |||||||
\(150\) | 26.6014 | + | 46.0750i | 2.17200 | + | 3.76201i | ||||
\(151\) | −2.53586 | − | 4.39223i | −0.206365 | − | 0.357435i | 0.744202 | − | 0.667955i | \(-0.232830\pi\) |
−0.950567 | + | 0.310520i | \(0.899497\pi\) | |||||||
\(152\) | −10.9663 | + | 18.9942i | −0.889487 | + | 1.54064i | ||||
\(153\) | 6.56603 | 0.530832 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.15412 | −0.333667 | ||||||||
\(156\) | 6.05137 | − | 10.4813i | 0.484498 | − | 0.839175i | ||||
\(157\) | 6.30071 | + | 10.9132i | 0.502852 | + | 0.870965i | 0.999995 | + | 0.00329606i | \(0.00104917\pi\) |
−0.497143 | + | 0.867669i | \(0.665617\pi\) | |||||||
\(158\) | −2.01684 | − | 3.49326i | −0.160451 | − | 0.277909i | ||||
\(159\) | −6.30071 | + | 10.9132i | −0.499679 | + | 0.865470i | ||||
\(160\) | −51.5518 | −4.07553 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 25.7875 | 2.02606 | ||||||||
\(163\) | −1.60407 | + | 2.77833i | −0.125640 | + | 0.217615i | −0.921983 | − | 0.387230i | \(-0.873432\pi\) |
0.796343 | + | 0.604846i | \(0.206765\pi\) | |||||||
\(164\) | 25.7759 | + | 44.6452i | 2.01276 | + | 3.48620i | ||||
\(165\) | −2.87024 | − | 4.97141i | −0.223448 | − | 0.387024i | ||||
\(166\) | 20.9225 | − | 36.2388i | 1.62390 | − | 2.81268i | ||||
\(167\) | 8.12045 | 0.628379 | 0.314190 | − | 0.949360i | \(-0.398267\pi\) | ||||
0.314190 | + | 0.949360i | \(0.398267\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 11.6284 | − | 20.1410i | 0.891860 | − | 1.54475i | ||||
\(171\) | 3.70900 | + | 6.42418i | 0.283634 | + | 0.491269i | ||||
\(172\) | 7.83657 | + | 13.5733i | 0.597533 | + | 1.03496i | ||||
\(173\) | 5.16429 | − | 8.94482i | 0.392634 | − | 0.680062i | −0.600162 | − | 0.799878i | \(-0.704897\pi\) |
0.992796 | + | 0.119816i | \(0.0382306\pi\) | |||||||
\(174\) | 1.32422 | 0.100389 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 7.48098 | 0.563900 | ||||||||
\(177\) | −9.89461 | + | 17.1380i | −0.743725 | + | 1.28817i | ||||
\(178\) | −19.6630 | − | 34.0573i | −1.47380 | − | 2.55270i | ||||
\(179\) | 1.18912 | + | 2.05961i | 0.0888786 | + | 0.153942i | 0.907037 | − | 0.421050i | \(-0.138338\pi\) |
−0.818159 | + | 0.574992i | \(0.805005\pi\) | |||||||
\(180\) | −25.3016 | + | 43.8236i | −1.88587 | + | 3.26642i | ||||
\(181\) | 21.8096 | 1.62109 | 0.810546 | − | 0.585675i | \(-0.199170\pi\) | ||||
0.810546 | + | 0.585675i | \(0.199170\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.54569 | −0.336027 | ||||||||
\(184\) | 29.8273 | − | 51.6623i | 2.19890 | − | 3.80860i | ||||
\(185\) | 13.6116 | + | 23.5760i | 1.00074 | + | 1.73334i | ||||
\(186\) | −3.61510 | − | 6.26154i | −0.265072 | − | 0.459119i | ||||
\(187\) | −0.785198 | + | 1.36000i | −0.0574193 | + | 0.0994532i | ||||
\(188\) | 23.2569 | 1.69618 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 26.2746 | 1.90616 | ||||||||
\(191\) | 12.5434 | − | 21.7258i | 0.907608 | − | 1.57202i | 0.0902297 | − | 0.995921i | \(-0.471240\pi\) |
0.817378 | − | 0.576102i | \(-0.195427\pi\) | |||||||
\(192\) | −17.5164 | − | 30.3393i | −1.26414 | − | 2.18955i | ||||
\(193\) | −5.65544 | − | 9.79551i | −0.407088 | − | 0.705096i | 0.587474 | − | 0.809243i | \(-0.300122\pi\) |
−0.994562 | + | 0.104146i | \(0.966789\pi\) | |||||||
\(194\) | −13.3007 | + | 23.0375i | −0.954936 | + | 1.65400i | ||||
\(195\) | −8.75819 | −0.627187 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −16.7919 | −1.19637 | −0.598185 | − | 0.801358i | \(-0.704111\pi\) | ||||
−0.598185 | + | 0.801358i | \(0.704111\pi\) | |||||||
\(198\) | 2.38490 | − | 4.13076i | 0.169487 | − | 0.293560i | ||||
\(199\) | −10.2670 | − | 17.7830i | −0.727811 | − | 1.26061i | −0.957806 | − | 0.287414i | \(-0.907204\pi\) |
0.229995 | − | 0.973192i | \(-0.426129\pi\) | |||||||
\(200\) | 33.8786 | + | 58.6795i | 2.39558 | + | 4.14927i | ||||
\(201\) | 15.4473 | − | 26.7555i | 1.08957 | − | 1.88719i | ||||
\(202\) | 8.01333 | 0.563816 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 28.9974 | 2.03022 | ||||||||
\(205\) | 18.6528 | − | 32.3076i | 1.30277 | − | 2.25646i | ||||
\(206\) | −6.68912 | − | 11.5859i | −0.466053 | − | 0.807227i | ||||
\(207\) | −10.0881 | − | 17.4731i | −0.701171 | − | 1.21446i | ||||
\(208\) | 5.70682 | − | 9.88450i | 0.395697 | − | 0.685367i | ||||
\(209\) | −1.77416 | −0.122721 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.7785 | −1.08624 | −0.543119 | − | 0.839655i | \(-0.682757\pi\) | ||||
−0.543119 | + | 0.839655i | \(0.682757\pi\) | |||||||
\(212\) | −13.2839 | + | 23.0084i | −0.912340 | + | 1.58022i | ||||
\(213\) | 8.09608 | + | 14.0228i | 0.554734 | + | 0.960828i | ||||
\(214\) | 15.7245 | + | 27.2357i | 1.07491 | + | 1.86179i | ||||
\(215\) | 5.67096 | − | 9.82239i | 0.386756 | − | 0.669881i | ||||
\(216\) | 5.03804 | 0.342795 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −9.42697 | −0.638475 | ||||||||
\(219\) | −15.0186 | + | 26.0129i | −1.01486 | + | 1.75779i | ||||
\(220\) | −6.05137 | − | 10.4813i | −0.407984 | − | 0.706648i | ||||
\(221\) | 1.19797 | + | 2.07494i | 0.0805839 | + | 0.139575i | ||||
\(222\) | −23.6908 | + | 41.0337i | −1.59003 | + | 2.75400i | ||||
\(223\) | −8.44731 | −0.565673 | −0.282837 | − | 0.959168i | \(-0.591275\pi\) | ||||
−0.282837 | + | 0.959168i | \(0.591275\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 22.9167 | 1.52778 | ||||||||
\(226\) | −12.5669 | + | 21.7665i | −0.835937 | + | 1.44789i | ||||
\(227\) | −3.34456 | − | 5.79294i | −0.221986 | − | 0.384491i | 0.733425 | − | 0.679771i | \(-0.237921\pi\) |
−0.955411 | + | 0.295279i | \(0.904587\pi\) | |||||||
\(228\) | 16.3800 | + | 28.3709i | 1.08479 | + | 1.87891i | ||||
\(229\) | −4.31755 | + | 7.47822i | −0.285312 | + | 0.494175i | −0.972685 | − | 0.232130i | \(-0.925430\pi\) |
0.687373 | + | 0.726305i | \(0.258764\pi\) | |||||||
\(230\) | −71.4641 | −4.71220 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.68648 | 0.110723 | ||||||||
\(233\) | 2.08373 | − | 3.60912i | 0.136510 | − | 0.236441i | −0.789664 | − | 0.613540i | \(-0.789745\pi\) |
0.926173 | + | 0.377099i | \(0.123078\pi\) | |||||||
\(234\) | −3.63861 | − | 6.30225i | −0.237863 | − | 0.411991i | ||||
\(235\) | −8.41495 | − | 14.5751i | −0.548931 | − | 0.950776i | ||||
\(236\) | −20.8609 | + | 36.1322i | −1.35793 | + | 2.35201i | ||||
\(237\) | −3.63947 | −0.236409 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.79450 | −0.116077 | −0.0580384 | − | 0.998314i | \(-0.518485\pi\) | ||||
−0.0580384 | + | 0.998314i | \(0.518485\pi\) | |||||||
\(240\) | −49.9814 | + | 86.5703i | −3.22628 | + | 5.58809i | ||||
\(241\) | −6.93047 | − | 12.0039i | −0.446431 | − | 0.773241i | 0.551720 | − | 0.834029i | \(-0.313972\pi\) |
−0.998151 | + | 0.0607887i | \(0.980638\pi\) | |||||||
\(242\) | −14.0345 | − | 24.3085i | −0.902174 | − | 1.56261i | ||||
\(243\) | 10.7010 | − | 18.5347i | 0.686470 | − | 1.18900i | ||||
\(244\) | −9.58373 | −0.613535 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 64.9300 | 4.13979 | ||||||||
\(247\) | −1.35341 | + | 2.34417i | −0.0861153 | + | 0.149156i | ||||
\(248\) | −4.60407 | − | 7.97448i | −0.292359 | − | 0.506380i | ||||
\(249\) | −18.8778 | − | 32.6973i | −1.19633 | − | 2.07211i | ||||
\(250\) | 16.3184 | − | 28.2643i | 1.03207 | − | 1.78759i | ||||
\(251\) | 14.7449 | 0.930687 | 0.465344 | − | 0.885130i | \(-0.345931\pi\) | ||||
0.465344 | + | 0.885130i | \(0.345931\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.82554 | 0.303379 | ||||||||
\(254\) | 7.25951 | − | 12.5738i | 0.455502 | − | 0.788953i | ||||
\(255\) | −10.4920 | − | 18.1727i | −0.657035 | − | 1.13802i | ||||
\(256\) | 0.519021 | + | 0.898971i | 0.0324388 | + | 0.0561857i | ||||
\(257\) | −11.8534 | + | 20.5307i | −0.739395 | + | 1.28067i | 0.213373 | + | 0.976971i | \(0.431555\pi\) |
−0.952768 | + | 0.303699i | \(0.901778\pi\) | |||||||
\(258\) | 19.7405 | 1.22899 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −18.4650 | −1.14515 | ||||||||
\(261\) | 0.285198 | − | 0.493977i | 0.0176533 | − | 0.0305764i | ||||
\(262\) | 13.0514 | + | 22.6056i | 0.806317 | + | 1.39658i | ||||
\(263\) | −5.68780 | − | 9.85155i | −0.350725 | − | 0.607473i | 0.635652 | − | 0.771976i | \(-0.280731\pi\) |
−0.986377 | + | 0.164503i | \(0.947398\pi\) | |||||||
\(264\) | 6.36226 | − | 11.0198i | 0.391570 | − | 0.678219i | ||||
\(265\) | 19.2258 | 1.18103 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −35.4827 | −2.17151 | ||||||||
\(268\) | 32.5678 | − | 56.4090i | 1.98939 | − | 3.44573i | ||||
\(269\) | 5.55269 | + | 9.61755i | 0.338554 | + | 0.586392i | 0.984161 | − | 0.177277i | \(-0.0567290\pi\) |
−0.645607 | + | 0.763670i | \(0.723396\pi\) | |||||||
\(270\) | −3.01770 | − | 5.22681i | −0.183651 | − | 0.318094i | ||||
\(271\) | 6.36226 | − | 11.0198i | 0.386480 | − | 0.669402i | −0.605494 | − | 0.795850i | \(-0.707024\pi\) |
0.991973 | + | 0.126448i | \(0.0403576\pi\) | |||||||
\(272\) | 27.3463 | 1.65811 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −46.6032 | −2.81540 | ||||||||
\(275\) | −2.74049 | + | 4.74667i | −0.165258 | + | 0.286235i | ||||
\(276\) | −44.5518 | − | 77.1660i | −2.68170 | − | 4.64484i | ||||
\(277\) | 1.50000 | + | 2.59808i | 0.0901263 | + | 0.156103i | 0.907564 | − | 0.419914i | \(-0.137940\pi\) |
−0.817438 | + | 0.576017i | \(0.804606\pi\) | |||||||
\(278\) | −6.52569 | + | 11.3028i | −0.391385 | + | 0.677898i | ||||
\(279\) | −3.11435 | −0.186451 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.44731 | 0.205649 | 0.102825 | − | 0.994700i | \(-0.467212\pi\) | ||||
0.102825 | + | 0.994700i | \(0.467212\pi\) | |||||||
\(282\) | 14.6461 | − | 25.3679i | 0.872165 | − | 1.51063i | ||||
\(283\) | 6.23917 | + | 10.8066i | 0.370880 | + | 0.642383i | 0.989701 | − | 0.143149i | \(-0.0457227\pi\) |
−0.618821 | + | 0.785532i | \(0.712389\pi\) | |||||||
\(284\) | 17.0691 | + | 29.5645i | 1.01286 | + | 1.75433i | ||||
\(285\) | 11.8534 | − | 20.5307i | 0.702135 | − | 1.21613i | ||||
\(286\) | 1.74049 | 0.102917 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −38.6484 | −2.27738 | ||||||||
\(289\) | 5.62976 | − | 9.75102i | 0.331162 | − | 0.573590i | ||||
\(290\) | −1.01017 | − | 1.74967i | −0.0593192 | − | 0.102744i | ||||
\(291\) | 12.0009 | + | 20.7861i | 0.703503 | + | 1.21850i | ||||
\(292\) | −31.6638 | + | 54.8434i | −1.85299 | + | 3.20947i | ||||
\(293\) | −13.5341 | −0.790670 | −0.395335 | − | 0.918537i | \(-0.629371\pi\) | ||||
−0.395335 | + | 0.918537i | \(0.629371\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 30.1922 | 1.75786 | ||||||||
\(296\) | −30.1718 | + | 52.2591i | −1.75370 | + | 3.03750i | ||||
\(297\) | 0.203767 | + | 0.352935i | 0.0118238 | + | 0.0204794i | ||||
\(298\) | −13.7312 | − | 23.7831i | −0.795426 | − | 1.37772i | ||||
\(299\) | 3.68113 | − | 6.37590i | 0.212885 | − | 0.368728i | ||||
\(300\) | 101.206 | 5.84315 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −13.4676 | −0.774976 | ||||||||
\(303\) | 3.61510 | − | 6.26154i | 0.207682 | − | 0.359716i | ||||
\(304\) | 15.4473 | + | 26.7555i | 0.885964 | + | 1.53453i | ||||
\(305\) | 3.46765 | + | 6.00614i | 0.198557 | + | 0.343911i | ||||
\(306\) | 8.71785 | − | 15.0998i | 0.498366 | − | 0.863196i | ||||
\(307\) | 28.2365 | 1.61154 | 0.805772 | − | 0.592226i | \(-0.201751\pi\) | ||||
0.805772 | + | 0.592226i | \(0.201751\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −12.0708 | −0.686684 | ||||||||
\(310\) | −5.51552 | + | 9.55316i | −0.313260 | + | 0.542583i | ||||
\(311\) | 12.3521 | + | 21.3944i | 0.700423 | + | 1.21317i | 0.968318 | + | 0.249720i | \(0.0803385\pi\) |
−0.267895 | + | 0.963448i | \(0.586328\pi\) | |||||||
\(312\) | −9.70682 | − | 16.8127i | −0.549540 | − | 0.951832i | ||||
\(313\) | 10.4061 | − | 18.0239i | 0.588188 | − | 1.01877i | −0.406282 | − | 0.913748i | \(-0.633175\pi\) |
0.994470 | − | 0.105023i | \(-0.0334917\pi\) | |||||||
\(314\) | 33.4624 | 1.88839 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.67314 | −0.431648 | ||||||||
\(317\) | −13.0691 | + | 22.6363i | −0.734032 | + | 1.27138i | 0.221114 | + | 0.975248i | \(0.429031\pi\) |
−0.955147 | + | 0.296134i | \(0.904303\pi\) | |||||||
\(318\) | 16.7312 | + | 28.9793i | 0.938238 | + | 1.62508i | ||||
\(319\) | 0.0682107 | + | 0.118144i | 0.00381906 | + | 0.00661481i | ||||
\(320\) | −26.7245 | + | 46.2882i | −1.49395 | + | 2.58759i | ||||
\(321\) | 28.3756 | 1.58377 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.48535 | −0.360854 | ||||||||
\(324\) | 24.5274 | − | 42.4827i | 1.36263 | − | 2.36015i | ||||
\(325\) | 4.18113 | + | 7.24193i | 0.231927 | + | 0.401710i | ||||
\(326\) | 4.25951 | + | 7.37769i | 0.235912 | + | 0.408612i | ||||
\(327\) | −4.25284 | + | 7.36614i | −0.235183 | + | 0.407349i | ||||
\(328\) | 82.6926 | 4.56593 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −15.2435 | −0.839129 | ||||||||
\(331\) | 12.0691 | − | 20.9043i | 0.663376 | − | 1.14900i | −0.316346 | − | 0.948644i | \(-0.602456\pi\) |
0.979723 | − | 0.200358i | \(-0.0642105\pi\) | |||||||
\(332\) | −39.8003 | − | 68.9361i | −2.18432 | − | 3.78336i | ||||
\(333\) | 10.2046 | + | 17.6749i | 0.559210 | + | 0.968581i | ||||
\(334\) | 10.7817 | − | 18.6744i | 0.589948 | − | 1.02182i | ||||
\(335\) | −47.1355 | −2.57529 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −30.5297 | −1.66306 | −0.831530 | − | 0.555480i | \(-0.812534\pi\) | ||||
−0.831530 | + | 0.555480i | \(0.812534\pi\) | |||||||
\(338\) | 1.32772 | − | 2.29968i | 0.0722185 | − | 0.125086i | ||||
\(339\) | 11.3388 | + | 19.6393i | 0.615837 | + | 1.06666i | ||||
\(340\) | −22.1204 | − | 38.3137i | −1.19965 | − | 2.07785i | ||||
\(341\) | 0.372429 | − | 0.645067i | 0.0201682 | − | 0.0349323i | ||||
\(342\) | 19.6981 | 1.06515 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 25.1408 | 1.35550 | ||||||||
\(345\) | −32.2400 | + | 55.8414i | −1.73575 | + | 3.00640i | ||||
\(346\) | −13.7135 | − | 23.7524i | −0.737241 | − | 1.27694i | ||||
\(347\) | 12.4987 | + | 21.6483i | 0.670964 | + | 1.16214i | 0.977631 | + | 0.210327i | \(0.0674530\pi\) |
−0.306667 | + | 0.951817i | \(0.599214\pi\) | |||||||
\(348\) | 1.25951 | − | 2.18154i | 0.0675169 | − | 0.116943i | ||||
\(349\) | −1.83887 | −0.0984324 | −0.0492162 | − | 0.998788i | \(-0.515672\pi\) | ||||
−0.0492162 | + | 0.998788i | \(0.515672\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.621770 | 0.0331876 | ||||||||
\(352\) | 4.62177 | − | 8.00514i | 0.246341 | − | 0.426675i | ||||
\(353\) | 11.6284 | + | 20.1410i | 0.618919 | + | 1.07200i | 0.989683 | + | 0.143272i | \(0.0457625\pi\) |
−0.370764 | + | 0.928727i | \(0.620904\pi\) | |||||||
\(354\) | 26.2746 | + | 45.5089i | 1.39648 | + | 2.41877i | ||||
\(355\) | 12.3521 | − | 21.3944i | 0.655581 | − | 1.13550i | ||||
\(356\) | −74.8087 | −3.96485 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.31525 | 0.333772 | ||||||||
\(359\) | 10.7237 | − | 18.5739i | 0.565973 | − | 0.980294i | −0.430986 | − | 0.902359i | \(-0.641834\pi\) |
0.996958 | − | 0.0779348i | \(-0.0248326\pi\) | |||||||
\(360\) | 40.5855 | + | 70.2961i | 2.13904 | + | 3.70493i | ||||
\(361\) | 5.83657 | + | 10.1092i | 0.307188 | + | 0.532065i | ||||
\(362\) | 28.9570 | − | 50.1550i | 1.52195 | − | 2.63609i | ||||
\(363\) | −25.3259 | −1.32927 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 45.8273 | 2.39871 | ||||||||
\(366\) | −6.03540 | + | 10.4536i | −0.315476 | + | 0.546420i | ||||
\(367\) | 0.560225 | + | 0.970338i | 0.0292435 | + | 0.0506512i | 0.880277 | − | 0.474461i | \(-0.157357\pi\) |
−0.851033 | + | 0.525112i | \(0.824024\pi\) | |||||||
\(368\) | −42.0151 | − | 72.7722i | −2.19019 | − | 3.79351i | ||||
\(369\) | 13.9840 | − | 24.2210i | 0.727979 | − | 1.26090i | ||||
\(370\) | 72.2896 | 3.75816 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −13.7538 | −0.713102 | ||||||||
\(373\) | −7.80290 | + | 13.5150i | −0.404019 | + | 0.699781i | −0.994207 | − | 0.107485i | \(-0.965720\pi\) |
0.590188 | + | 0.807266i | \(0.299054\pi\) | |||||||
\(374\) | 2.08505 | + | 3.61141i | 0.107815 | + | 0.186741i | ||||
\(375\) | −14.7237 | − | 25.5021i | −0.760326 | − | 1.31692i | ||||
\(376\) | 18.6528 | − | 32.3076i | 0.961945 | − | 1.66614i | ||||
\(377\) | 0.208136 | 0.0107196 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.7849 | 0.656714 | 0.328357 | − | 0.944554i | \(-0.393505\pi\) | ||||
0.328357 | + | 0.944554i | \(0.393505\pi\) | |||||||
\(380\) | 24.9907 | − | 43.2852i | 1.28200 | − | 2.22048i | ||||
\(381\) | −6.55005 | − | 11.3450i | −0.335569 | − | 0.581223i | ||||
\(382\) | −33.3082 | − | 57.6916i | −1.70420 | − | 2.95176i | ||||
\(383\) | −17.0177 | + | 29.4755i | −0.869564 | + | 1.50613i | −0.00712095 | + | 0.999975i | \(0.502267\pi\) |
−0.862443 | + | 0.506154i | \(0.831067\pi\) | |||||||
\(384\) | −25.4490 | −1.29869 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −30.0354 | −1.52876 | ||||||||
\(387\) | 4.25152 | − | 7.36386i | 0.216117 | − | 0.374326i | ||||
\(388\) | 25.3016 | + | 43.8236i | 1.28449 | + | 2.22481i | ||||
\(389\) | 12.3353 | + | 21.3653i | 0.625422 | + | 1.08326i | 0.988459 | + | 0.151488i | \(0.0484065\pi\) |
−0.363037 | + | 0.931775i | \(0.618260\pi\) | |||||||
\(390\) | −11.6284 | + | 20.1410i | −0.588829 | + | 1.01988i | ||||
\(391\) | 17.6395 | 0.892066 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 23.5518 | 1.18803 | ||||||||
\(394\) | −22.2949 | + | 38.6159i | −1.12320 | + | 1.94544i | ||||
\(395\) | 2.77635 | + | 4.80877i | 0.139693 | + | 0.241956i | ||||
\(396\) | −4.53672 | − | 7.85783i | −0.227979 | − | 0.394871i | ||||
\(397\) | 2.48983 | − | 4.31251i | 0.124961 | − | 0.216439i | −0.796757 | − | 0.604300i | \(-0.793453\pi\) |
0.921718 | + | 0.387861i | \(0.126786\pi\) | |||||||
\(398\) | −54.5271 | −2.73320 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 95.4438 | 4.77219 | ||||||||
\(401\) | −0.344558 | + | 0.596791i | −0.0172064 | + | 0.0298023i | −0.874500 | − | 0.485025i | \(-0.838811\pi\) |
0.857294 | + | 0.514827i | \(0.172144\pi\) | |||||||
\(402\) | −41.0194 | − | 71.0477i | −2.04586 | − | 3.54354i | ||||
\(403\) | −0.568211 | − | 0.984170i | −0.0283046 | − | 0.0490250i | ||||
\(404\) | 7.62177 | − | 13.2013i | 0.379197 | − | 0.656789i | ||||
\(405\) | −35.4987 | −1.76394 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.88128 | −0.241956 | ||||||||
\(408\) | 23.2569 | − | 40.2821i | 1.15139 | − | 1.99426i | ||||
\(409\) | −9.98851 | − | 17.3006i | −0.493900 | − | 0.855460i | 0.506075 | − | 0.862489i | \(-0.331096\pi\) |
−0.999975 | + | 0.00702937i | \(0.997762\pi\) | |||||||
\(410\) | −49.5314 | − | 85.7910i | −2.44618 | − | 4.23691i | ||||
\(411\) | −21.0244 | + | 36.4153i | −1.03706 | + | 1.79623i | ||||
\(412\) | −25.4490 | −1.25378 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −53.5767 | −2.63315 | ||||||||
\(415\) | −28.8016 | + | 49.8858i | −1.41381 | + | 2.44880i | ||||
\(416\) | −7.05137 | − | 12.2133i | −0.345722 | − | 0.598808i | ||||
\(417\) | 5.88795 | + | 10.1982i | 0.288334 | + | 0.499409i | ||||
\(418\) | −2.35559 | + | 4.08001i | −0.115216 | + | 0.199560i | ||||
\(419\) | 19.6661 | 0.960754 | 0.480377 | − | 0.877062i | \(-0.340500\pi\) | ||||
0.480377 | + | 0.877062i | \(0.340500\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.9283 | 0.727560 | 0.363780 | − | 0.931485i | \(-0.381486\pi\) | ||||
0.363780 | + | 0.931485i | \(0.381486\pi\) | |||||||
\(422\) | −20.9495 | + | 36.2856i | −1.01981 | + | 1.76635i | ||||
\(423\) | −6.30870 | − | 10.9270i | −0.306739 | − | 0.531288i | ||||
\(424\) | 21.3082 | + | 36.9070i | 1.03482 | + | 1.79236i | ||||
\(425\) | −10.0177 | + | 17.3512i | −0.485930 | + | 0.841655i | ||||
\(426\) | 42.9974 | 2.08323 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 59.8246 | 2.89173 | ||||||||
\(429\) | 0.785198 | − | 1.36000i | 0.0379097 | − | 0.0656615i | ||||
\(430\) | −15.0589 | − | 26.0828i | −0.726205 | − | 1.25782i | ||||
\(431\) | 16.3419 | + | 28.3050i | 0.787163 | + | 1.36341i | 0.927699 | + | 0.373330i | \(0.121784\pi\) |
−0.140536 | + | 0.990076i | \(0.544883\pi\) | |||||||
\(432\) | 3.54832 | − | 6.14588i | 0.170719 | − | 0.295694i | ||||
\(433\) | −8.96196 | −0.430684 | −0.215342 | − | 0.976539i | \(-0.569087\pi\) | ||||
−0.215342 | + | 0.976539i | \(0.569087\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.82290 | −0.0874012 | ||||||||
\(436\) | −8.96633 | + | 15.5301i | −0.429409 | + | 0.743759i | ||||
\(437\) | 9.96414 | + | 17.2584i | 0.476650 | + | 0.825581i | ||||
\(438\) | 39.8809 | + | 69.0758i | 1.90558 | + | 3.30057i | ||||
\(439\) | 3.96633 | − | 6.86988i | 0.189302 | − | 0.327881i | −0.755715 | − | 0.654900i | \(-0.772711\pi\) |
0.945018 | + | 0.327019i | \(0.106044\pi\) | |||||||
\(440\) | −19.4136 | −0.925509 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.36226 | 0.302622 | ||||||||
\(443\) | 4.45529 | − | 7.71679i | 0.211677 | − | 0.366636i | −0.740562 | − | 0.671988i | \(-0.765441\pi\) |
0.952240 | + | 0.305352i | \(0.0987741\pi\) | |||||||
\(444\) | 45.0664 | + | 78.0574i | 2.13876 | + | 3.70444i | ||||
\(445\) | 27.0678 | + | 46.8827i | 1.28313 | + | 2.22245i | ||||
\(446\) | −11.2157 | + | 19.4261i | −0.531077 | + | 0.919853i | ||||
\(447\) | −24.7785 | −1.17198 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −8.45168 | −0.398859 | −0.199430 | − | 0.979912i | \(-0.563909\pi\) | ||||
−0.199430 | + | 0.979912i | \(0.563909\pi\) | |||||||
\(450\) | 30.4270 | − | 52.7010i | 1.43434 | − | 2.48435i | ||||
\(451\) | 3.34456 | + | 5.79294i | 0.157489 | + | 0.272779i | ||||
\(452\) | 23.9056 | + | 41.4058i | 1.12443 | + | 1.94756i | ||||
\(453\) | −6.07574 | + | 10.5235i | −0.285463 | + | 0.494437i | ||||
\(454\) | −17.7626 | −0.833638 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 52.5491 | 2.46084 | ||||||||
\(457\) | −11.5846 | + | 20.0651i | −0.541904 | + | 0.938606i | 0.456890 | + | 0.889523i | \(0.348963\pi\) |
−0.998795 | + | 0.0490829i | \(0.984370\pi\) | |||||||
\(458\) | 11.4650 | + | 19.8580i | 0.535725 | + | 0.927902i | ||||
\(459\) | 0.744859 | + | 1.29013i | 0.0347670 | + | 0.0602183i | ||||
\(460\) | −67.9721 | + | 117.731i | −3.16921 | + | 5.48924i | ||||
\(461\) | 2.27284 | 0.105857 | 0.0529284 | − | 0.998598i | \(-0.483144\pi\) | ||||
0.0529284 | + | 0.998598i | \(0.483144\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.10976 | −0.190997 | −0.0954983 | − | 0.995430i | \(-0.530444\pi\) | ||||
−0.0954983 | + | 0.995430i | \(0.530444\pi\) | |||||||
\(464\) | 1.18780 | − | 2.05732i | 0.0551420 | − | 0.0955088i | ||||
\(465\) | 4.97650 | + | 8.61955i | 0.230780 | + | 0.399722i | ||||
\(466\) | −5.53322 | − | 9.58381i | −0.256321 | − | 0.443962i | ||||
\(467\) | −16.4575 | + | 28.5052i | −0.761561 | + | 1.31906i | 0.180484 | + | 0.983578i | \(0.442233\pi\) |
−0.942046 | + | 0.335485i | \(0.891100\pi\) | |||||||
\(468\) | −13.8432 | −0.639904 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −44.6908 | −2.06143 | ||||||||
\(471\) | 15.0961 | − | 26.1472i | 0.695591 | − | 1.20480i | ||||
\(472\) | 33.4624 | + | 57.9585i | 1.54023 | + | 2.66776i | ||||
\(473\) | 1.01684 | + | 1.76121i | 0.0467542 | + | 0.0809806i | ||||
\(474\) | −4.83220 | + | 8.36962i | −0.221950 | + | 0.384429i | ||||
\(475\) | −22.6351 | −1.03857 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 14.4136 | 0.659955 | ||||||||
\(478\) | −2.38260 | + | 4.12678i | −0.108978 | + | 0.188755i | ||||
\(479\) | 4.65763 | + | 8.06725i | 0.212812 | + | 0.368602i | 0.952594 | − | 0.304246i | \(-0.0984043\pi\) |
−0.739781 | + | 0.672847i | \(0.765071\pi\) | |||||||
\(480\) | 61.7573 | + | 106.967i | 2.81882 | + | 4.88234i | ||||
\(481\) | −3.72365 | + | 6.44956i | −0.169784 | + | 0.294074i | ||||
\(482\) | −36.8069 | −1.67651 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −53.3950 | −2.42705 | ||||||||
\(485\) | 18.3096 | − | 31.7131i | 0.831395 | − | 1.44002i | ||||
\(486\) | −28.4159 | − | 49.2178i | −1.28897 | − | 2.23257i | ||||
\(487\) | −10.1204 | − | 17.5291i | −0.458601 | − | 0.794321i | 0.540286 | − | 0.841481i | \(-0.318316\pi\) |
−0.998887 | + | 0.0471606i | \(0.984983\pi\) | |||||||
\(488\) | −7.68648 | + | 13.3134i | −0.347950 | + | 0.602668i | ||||
\(489\) | 7.68648 | 0.347594 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.36226 | −0.196866 | −0.0984330 | − | 0.995144i | \(-0.531383\pi\) | ||||
−0.0984330 | + | 0.995144i | \(0.531383\pi\) | |||||||
\(492\) | 61.7573 | − | 106.967i | 2.78423 | − | 4.82243i | ||||
\(493\) | 0.249340 | + | 0.431870i | 0.0112297 | + | 0.0194504i | ||||
\(494\) | 3.59390 | + | 6.22481i | 0.161697 | + | 0.280068i | ||||
\(495\) | −3.28301 | + | 5.68635i | −0.147560 | + | 0.255582i | ||||
\(496\) | −12.9707 | −0.582401 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −100.258 | −4.49265 | ||||||||
\(499\) | −4.84674 | + | 8.39480i | −0.216970 | + | 0.375803i | −0.953880 | − | 0.300188i | \(-0.902951\pi\) |
0.736910 | + | 0.675991i | \(0.236284\pi\) | |||||||
\(500\) | −31.0421 | − | 53.7664i | −1.38824 | − | 2.40451i | ||||
\(501\) | −9.72802 | − | 16.8494i | −0.434616 | − | 0.752777i | ||||
\(502\) | 19.5771 | − | 33.9085i | 0.873767 | − | 1.51341i | ||||
\(503\) | 2.64843 | 0.118088 | 0.0590439 | − | 0.998255i | \(-0.481195\pi\) | ||||
0.0590439 | + | 0.998255i | \(0.481195\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.0310 | −0.490875 | ||||||||
\(506\) | 6.40697 | − | 11.0972i | 0.284824 | − | 0.493330i | ||||
\(507\) | −1.19797 | − | 2.07494i | −0.0532035 | − | 0.0921512i | ||||
\(508\) | −13.8096 | − | 23.9189i | −0.612700 | − | 1.06123i | ||||
\(509\) | 6.97081 | − | 12.0738i | 0.308976 | − | 0.535162i | −0.669163 | − | 0.743116i | \(-0.733347\pi\) |
0.978139 | + | 0.207954i | \(0.0666805\pi\) | |||||||
\(510\) | −55.7219 | −2.46741 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.0000 | 1.06066 | ||||||||
\(513\) | −0.841508 | + | 1.45753i | −0.0371535 | + | 0.0643517i | ||||
\(514\) | 31.4760 | + | 54.5181i | 1.38835 | + | 2.40469i | ||||
\(515\) | 9.20814 | + | 15.9490i | 0.405759 | + | 0.702795i | ||||
\(516\) | 18.7759 | − | 32.5208i | 0.826563 | − | 1.43165i | ||||
\(517\) | 3.01770 | 0.132718 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −24.7466 | −1.08625 | ||||||||
\(520\) | −14.8096 | + | 25.6509i | −0.649442 | + | 1.12487i | ||||
\(521\) | 7.31088 | + | 12.6628i | 0.320296 | + | 0.554768i | 0.980549 | − | 0.196275i | \(-0.0628844\pi\) |
−0.660253 | + | 0.751043i | \(0.729551\pi\) | |||||||
\(522\) | −0.757326 | − | 1.31173i | −0.0331473 | − | 0.0574127i | ||||
\(523\) | −8.25951 | + | 14.3059i | −0.361163 | + | 0.625553i | −0.988153 | − | 0.153475i | \(-0.950954\pi\) |
0.626989 | + | 0.779028i | \(0.284287\pi\) | |||||||
\(524\) | 49.6545 | 2.16917 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −30.2072 | −1.31710 | ||||||||
\(527\) | 1.36139 | − | 2.35800i | 0.0593033 | − | 0.102716i | ||||
\(528\) | −8.96196 | − | 15.5226i | −0.390019 | − | 0.675533i | ||||
\(529\) | −15.6014 | − | 27.0225i | −0.678323 | − | 1.17489i | ||||
\(530\) | 25.5266 | − | 44.2133i | 1.10880 | − | 1.92050i | ||||
\(531\) | 22.6351 | 0.982280 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 10.2055 | 0.442049 | ||||||||
\(534\) | −47.1111 | + | 81.5989i | −2.03870 | + | 3.53113i | ||||
\(535\) | −21.6461 | − | 37.4922i | −0.935844 | − | 1.62093i | ||||
\(536\) | −52.2409 | − | 90.4839i | −2.25646 | − | 3.90831i | ||||
\(537\) | 2.84904 | − | 4.93468i | 0.122945 | − | 0.212947i | ||||
\(538\) | 29.4897 | 1.27139 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −11.4810 | −0.494063 | ||||||||
\(541\) | 21.5509 | − | 37.3273i | 0.926546 | − | 1.60483i | 0.137491 | − | 0.990503i | \(-0.456096\pi\) |
0.789055 | − | 0.614322i | \(-0.210571\pi\) | |||||||
\(542\) | −16.8946 | − | 29.2623i | −0.725686 | − | 1.25692i | ||||
\(543\) | −26.1271 | − | 45.2535i | −1.12122 | − | 1.94201i | ||||
\(544\) | 16.8946 | − | 29.2623i | 0.724351 | − | 1.25461i | ||||
\(545\) | 12.9770 | 0.555874 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.5057 | −0.577462 | −0.288731 | − | 0.957410i | \(-0.593233\pi\) | ||||
−0.288731 | + | 0.957410i | \(0.593233\pi\) | |||||||
\(548\) | −44.3259 | + | 76.7748i | −1.89351 | + | 3.27966i | ||||
\(549\) | 2.59970 | + | 4.50281i | 0.110952 | + | 0.192175i | ||||
\(550\) | 7.27721 | + | 12.6045i | 0.310301 | + | 0.537458i | ||||
\(551\) | −0.281693 | + | 0.487907i | −0.0120005 | + | 0.0207855i | ||||
\(552\) | −142.928 | −6.08343 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.96633 | 0.338457 | ||||||||
\(555\) | 32.6125 | − | 56.4864i | 1.38432 | − | 2.39772i | ||||
\(556\) | 12.4136 | + | 21.5010i | 0.526455 | + | 0.911847i | ||||
\(557\) | −0.675783 | − | 1.17049i | −0.0286338 | − | 0.0495953i | 0.851353 | − | 0.524593i | \(-0.175782\pi\) |
−0.879987 | + | 0.474997i | \(0.842449\pi\) | |||||||
\(558\) | −4.13499 | + | 7.16201i | −0.175048 | + | 0.303192i | ||||
\(559\) | 3.10275 | 0.131232 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.76256 | 0.158855 | ||||||||
\(562\) | 4.57706 | − | 7.92770i | 0.193072 | − | 0.334410i | ||||
\(563\) | −15.8813 | − | 27.5072i | −0.669316 | − | 1.15929i | −0.978096 | − | 0.208156i | \(-0.933254\pi\) |
0.308779 | − | 0.951134i | \(-0.400079\pi\) | |||||||
\(564\) | −27.8609 | − | 48.2566i | −1.17316 | − | 2.03197i | ||||
\(565\) | 17.2994 | − | 29.9634i | 0.727791 | − | 1.26057i | ||||
\(566\) | 33.1355 | 1.39279 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 54.7599 | 2.29768 | ||||||||
\(569\) | −15.1865 | + | 26.3037i | −0.636650 | + | 1.10271i | 0.349513 | + | 0.936932i | \(0.386347\pi\) |
−0.986163 | + | 0.165779i | \(0.946986\pi\) | |||||||
\(570\) | −31.4760 | − | 54.5181i | −1.31839 | − | 2.28351i | ||||
\(571\) | 0.216122 | + | 0.374334i | 0.00904442 | + | 0.0156654i | 0.870512 | − | 0.492147i | \(-0.163788\pi\) |
−0.861468 | + | 0.507812i | \(0.830454\pi\) | |||||||
\(572\) | 1.65544 | − | 2.86731i | 0.0692175 | − | 0.119888i | ||||
\(573\) | −60.1062 | −2.51097 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 61.5651 | 2.56744 | ||||||||
\(576\) | −20.0354 | + | 34.7023i | −0.834808 | + | 1.44593i | ||||
\(577\) | −9.06908 | − | 15.7081i | −0.377551 | − | 0.653937i | 0.613155 | − | 0.789963i | \(-0.289900\pi\) |
−0.990705 | + | 0.136026i | \(0.956567\pi\) | |||||||
\(578\) | −14.9495 | − | 25.8933i | −0.621817 | − | 1.07702i | ||||
\(579\) | −13.5501 | + | 23.4694i | −0.563121 | + | 0.975354i | ||||
\(580\) | −3.84324 | −0.159582 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 63.7352 | 2.64191 | ||||||||
\(583\) | −1.72365 | + | 2.98545i | −0.0713864 | + | 0.123645i | ||||
\(584\) | 50.7910 | + | 87.9725i | 2.10174 | + | 3.64033i | ||||
\(585\) | 5.00885 | + | 8.67558i | 0.207090 | + | 0.358691i | ||||
\(586\) | −17.9695 | + | 31.1241i | −0.742313 | + | 1.28572i | ||||
\(587\) | 19.3065 | 0.796865 | 0.398433 | − | 0.917198i | \(-0.369554\pi\) | ||||
0.398433 | + | 0.917198i | \(0.369554\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.07608 | 0.126748 | ||||||||
\(590\) | 40.0868 | − | 69.4323i | 1.65035 | − | 2.85848i | ||||
\(591\) | 20.1161 | + | 34.8421i | 0.827465 | + | 1.43321i | ||||
\(592\) | 42.5004 | + | 73.6129i | 1.74676 | + | 3.02547i | ||||
\(593\) | −4.10056 | + | 7.10238i | −0.168390 | + | 0.291660i | −0.937854 | − | 0.347030i | \(-0.887190\pi\) |
0.769464 | + | 0.638690i | \(0.220523\pi\) | |||||||
\(594\) | 1.08218 | 0.0444025 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −52.2409 | −2.13987 | ||||||||
\(597\) | −24.5991 | + | 42.6069i | −1.00678 | + | 1.74379i | ||||
\(598\) | −9.77503 | − | 16.9308i | −0.399731 | − | 0.692354i | ||||
\(599\) | −11.7392 | − | 20.3328i | −0.479649 | − | 0.830777i | 0.520078 | − | 0.854119i | \(-0.325903\pi\) |
−0.999728 | + | 0.0233415i | \(0.992570\pi\) | |||||||
\(600\) | 81.1709 | − | 140.592i | 3.31379 | − | 5.73965i | ||||
\(601\) | −8.96196 | −0.365566 | −0.182783 | − | 0.983153i | \(-0.558511\pi\) | ||||
−0.182783 | + | 0.983153i | \(0.558511\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −35.3375 | −1.43906 | ||||||||
\(604\) | −12.8096 | + | 22.1868i | −0.521214 | + | 0.902769i | ||||
\(605\) | 19.3197 | + | 33.4628i | 0.785459 | + | 1.36045i | ||||
\(606\) | −9.59970 | − | 16.6272i | −0.389961 | − | 0.675432i | ||||
\(607\) | −21.7320 | + | 37.6410i | −0.882077 | + | 1.52780i | −0.0330487 | + | 0.999454i | \(0.510522\pi\) |
−0.849028 | + | 0.528348i | \(0.822812\pi\) | |||||||
\(608\) | 38.1736 | 1.54814 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.4163 | 0.745653 | ||||||||
\(611\) | 2.30203 | − | 3.98724i | 0.0931303 | − | 0.161306i | ||||
\(612\) | −16.5837 | − | 28.7239i | −0.670357 | − | 1.16109i | ||||
\(613\) | 10.7245 | + | 18.5754i | 0.433159 | + | 0.750254i | 0.997143 | − | 0.0755318i | \(-0.0240655\pi\) |
−0.563984 | + | 0.825786i | \(0.690732\pi\) | |||||||
\(614\) | 37.4902 | − | 64.9350i | 1.51298 | − | 2.62056i | ||||
\(615\) | −89.3817 | −3.60422 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −12.1294 | −0.488312 | −0.244156 | − | 0.969736i | \(-0.578511\pi\) | ||||
−0.244156 | + | 0.969736i | \(0.578511\pi\) | |||||||
\(618\) | −16.0267 | + | 27.7590i | −0.644687 | + | 1.11663i | ||||
\(619\) | −6.36226 | − | 11.0198i | −0.255721 | − | 0.442921i | 0.709370 | − | 0.704836i | \(-0.248979\pi\) |
−0.965091 | + | 0.261915i | \(0.915646\pi\) | |||||||
\(620\) | 10.4920 | + | 18.1727i | 0.421369 | + | 0.729833i | ||||
\(621\) | 2.28881 | − | 3.96434i | 0.0918469 | − | 0.159084i | ||||
\(622\) | 65.6005 | 2.63034 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −27.3463 | −1.09473 | ||||||||
\(625\) | −1.55804 | + | 2.69860i | −0.0623216 | + | 0.107944i | ||||
\(626\) | −27.6328 | − | 47.8614i | −1.10443 | − | 1.91293i | ||||
\(627\) | 2.12539 | + | 3.68128i | 0.0848797 | + | 0.147016i | ||||
\(628\) | 31.8273 | − | 55.1264i | 1.27005 | − | 2.19978i | ||||
\(629\) | −17.8432 | −0.711456 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −11.7538 | −0.467912 | −0.233956 | − | 0.972247i | \(-0.575167\pi\) | ||||
−0.233956 | + | 0.972247i | \(0.575167\pi\) | |||||||
\(632\) | −6.15412 | + | 10.6593i | −0.244798 | + | 0.424002i | ||||
\(633\) | 18.9021 | + | 32.7395i | 0.751293 | + | 1.30128i | ||||
\(634\) | 34.7042 | + | 60.1094i | 1.37828 | + | 2.38725i | ||||
\(635\) | −9.99333 | + | 17.3090i | −0.396573 | + | 0.686885i | ||||
\(636\) | 63.6545 | 2.52407 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0.362259 | 0.0143420 | ||||||||
\(639\) | 9.26038 | − | 16.0394i | 0.366335 | − | 0.634510i | ||||
\(640\) | 19.4136 | + | 33.6254i | 0.767391 | + | 1.32916i | ||||
\(641\) | −2.34324 | − | 4.05861i | −0.0925523 | − | 0.160305i | 0.816032 | − | 0.578007i | \(-0.196169\pi\) |
−0.908584 | + | 0.417701i | \(0.862836\pi\) | |||||||
\(642\) | 37.6749 | − | 65.2548i | 1.48691 | − | 2.57540i | ||||
\(643\) | −0.751182 | −0.0296237 | −0.0148119 | − | 0.999890i | \(-0.504715\pi\) | ||||
−0.0148119 | + | 0.999890i | \(0.504715\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −27.1745 | −1.06999 | ||||||||
\(646\) | −8.61073 | + | 14.9142i | −0.338785 | + | 0.586792i | ||||
\(647\) | −20.4238 | − | 35.3751i | −0.802943 | − | 1.39074i | −0.917671 | − | 0.397340i | \(-0.869933\pi\) |
0.114729 | − | 0.993397i | \(-0.463400\pi\) | |||||||
\(648\) | −39.3436 | − | 68.1452i | −1.54556 | − | 2.67700i | ||||
\(649\) | −2.70682 | + | 4.68834i | −0.106252 | + | 0.184034i | ||||
\(650\) | 22.2055 | 0.870971 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.2055 | 0.634656 | ||||||||
\(653\) | 23.2392 | − | 40.2514i | 0.909419 | − | 1.57516i | 0.0945459 | − | 0.995521i | \(-0.469860\pi\) |
0.814873 | − | 0.579639i | \(-0.196807\pi\) | |||||||
\(654\) | 11.2932 | + | 19.5604i | 0.441598 | + | 0.764871i | ||||
\(655\) | −17.9663 | − | 31.1186i | −0.702002 | − | 1.21590i | ||||
\(656\) | 58.2409 | − | 100.876i | 2.27393 | − | 3.93855i | ||||
\(657\) | 34.3568 | 1.34038 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 30.3596 | 1.18264 | 0.591321 | − | 0.806436i | \(-0.298606\pi\) | ||||
0.591321 | + | 0.806436i | \(0.298606\pi\) | |||||||
\(660\) | −14.4987 | + | 25.1125i | −0.564360 | + | 0.977501i | ||||
\(661\) | 0.0535589 | + | 0.0927667i | 0.00208320 | + | 0.00360820i | 0.867065 | − | 0.498195i | \(-0.166004\pi\) |
−0.864982 | + | 0.501803i | \(0.832670\pi\) | |||||||
\(662\) | −32.0487 | − | 55.5100i | −1.24561 | − | 2.15746i | ||||
\(663\) | 2.87024 | − | 4.97141i | 0.111471 | − | 0.193074i | ||||
\(664\) | −127.685 | −4.95513 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 54.1956 | 2.10004 | ||||||||
\(667\) | 0.766177 | − | 1.32706i | 0.0296665 | − | 0.0513838i | ||||
\(668\) | −20.5097 | − | 35.5239i | −0.793545 | − | 1.37446i | ||||
\(669\) | 10.1196 | + | 17.5276i | 0.391246 | + | 0.677658i | ||||
\(670\) | −62.5828 | + | 108.397i | −2.41779 | + | 4.18773i | ||||
\(671\) | −1.24354 | −0.0480063 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 38.5385 | 1.48555 | 0.742774 | − | 0.669542i | \(-0.233510\pi\) | ||||
0.742774 | + | 0.669542i | \(0.233510\pi\) | |||||||
\(674\) | −40.5349 | + | 70.2086i | −1.56135 | + | 2.70433i | ||||
\(675\) | 2.59970 | + | 4.50281i | 0.100062 | + | 0.173313i | ||||
\(676\) | −2.52569 | − | 4.37462i | −0.0971418 | − | 0.168255i | ||||
\(677\) | 10.3901 | − | 17.9962i | 0.399325 | − | 0.691651i | −0.594318 | − | 0.804230i | \(-0.702578\pi\) |
0.993643 | + | 0.112579i | \(0.0359111\pi\) | |||||||
\(678\) | 60.2188 | 2.31269 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −70.9654 | −2.72140 | ||||||||
\(681\) | −8.01333 | + | 13.8795i | −0.307072 | + | 0.531864i | ||||
\(682\) | −0.988965 | − | 1.71294i | −0.0378694 | − | 0.0655918i | ||||
\(683\) | −13.7919 | − | 23.8882i | −0.527731 | − | 0.914057i | −0.999477 | − | 0.0323227i | \(-0.989710\pi\) |
0.471746 | − | 0.881734i | \(-0.343624\pi\) | |||||||
\(684\) | 18.7356 | − | 32.4509i | 0.716372 | − | 1.24079i | ||||
\(685\) | 64.1532 | 2.45117 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 20.6891 | 0.789339 | ||||||||
\(688\) | 17.7068 | − | 30.6691i | 0.675066 | − | 1.16925i | ||||
\(689\) | 2.62976 | + | 4.55487i | 0.100186 | + | 0.173527i | ||||
\(690\) | 85.6116 | + | 148.284i | 3.25918 | + | 5.64506i | ||||
\(691\) | −21.8388 | + | 37.8258i | −0.830785 | + | 1.43896i | 0.0666308 | + | 0.997778i | \(0.478775\pi\) |
−0.897416 | + | 0.441185i | \(0.854558\pi\) | |||||||
\(692\) | −52.1736 | −1.98334 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 66.3791 | 2.51971 | ||||||||
\(695\) | 8.98316 | − | 15.5593i | 0.340751 | − | 0.590198i | ||||
\(696\) | −2.02034 | − | 3.49933i | −0.0765808 | − | 0.132642i | ||||
\(697\) | 12.2258 | + | 21.1758i | 0.463087 | + | 0.802090i | ||||
\(698\) | −2.44150 | + | 4.22881i | −0.0924123 | + | 0.160063i | ||||
\(699\) | −9.98494 | −0.377665 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.8973 | −0.789278 | −0.394639 | − | 0.918836i | \(-0.629130\pi\) | ||||
−0.394639 | + | 0.918836i | \(0.629130\pi\) | |||||||
\(702\) | 0.825537 | − | 1.42987i | 0.0311579 | − | 0.0539670i | ||||
\(703\) | −10.0792 | − | 17.4578i | −0.380146 | − | 0.658432i | ||||
\(704\) | −4.79186 | − | 8.29975i | −0.180600 | − | 0.312809i | ||||
\(705\) | −20.1617 | + | 34.9210i | −0.759332 | + | 1.31520i | ||||
\(706\) | 61.7573 | 2.32427 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 99.9628 | 3.75683 | ||||||||
\(709\) | −4.96983 | + | 8.60800i | −0.186646 | + | 0.323280i | −0.944130 | − | 0.329574i | \(-0.893095\pi\) |
0.757484 | + | 0.652854i | \(0.226428\pi\) | |||||||
\(710\) | −32.8003 | − | 56.8117i | −1.23097 | − | 2.13211i | ||||
\(711\) | 2.08143 | + | 3.60514i | 0.0780597 | + | 0.135203i | ||||
\(712\) | −59.9991 | + | 103.921i | −2.24856 | + | 3.89462i | ||||
\(713\) | −8.36663 | −0.313333 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.39593 | −0.0896028 | ||||||||
\(716\) | 6.00667 | − | 10.4039i | 0.224480 | − | 0.388810i | ||||
\(717\) | 2.14975 | + | 3.72348i | 0.0802840 | + | 0.139056i | ||||
\(718\) | −28.4760 | − | 49.3220i | −1.06272 | − | 1.84068i | ||||
\(719\) | 5.98983 | − | 10.3747i | 0.223383 | − | 0.386911i | −0.732450 | − | 0.680821i | \(-0.761623\pi\) |
0.955833 | + | 0.293910i | \(0.0949566\pi\) | |||||||
\(720\) | 114.338 | 4.26114 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 30.9974 | 1.15360 | ||||||||
\(723\) | −16.6049 | + | 28.7606i | −0.617544 | + | 1.06962i | ||||
\(724\) | −55.0841 | − | 95.4085i | −2.04719 | − | 3.54583i | ||||
\(725\) | 0.870245 | + | 1.50731i | 0.0323201 | + | 0.0559800i | ||||
\(726\) | −33.6258 | + | 58.2416i | −1.24797 | + | 2.16155i | ||||
\(727\) | 24.1736 | 0.896547 | 0.448274 | − | 0.893896i | \(-0.352039\pi\) | ||||
0.448274 | + | 0.893896i | \(0.352039\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −22.1443 | −0.820157 | ||||||||
\(730\) | 60.8458 | − | 105.388i | 2.25201 | − | 3.90059i | ||||
\(731\) | 3.71699 | + | 6.43801i | 0.137478 | + | 0.238118i | ||||
\(732\) | 11.4810 | + | 19.8856i | 0.424349 | + | 0.734994i | ||||
\(733\) | 18.2237 | − | 31.5643i | 0.673106 | − | 1.16585i | −0.303913 | − | 0.952700i | \(-0.598293\pi\) |
0.977019 | − | 0.213154i | \(-0.0683736\pi\) | |||||||
\(734\) | 2.97529 | 0.109820 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −103.828 | −3.82715 | ||||||||
\(737\) | 4.22584 | − | 7.31937i | 0.155661 | − | 0.269612i | ||||
\(738\) | −37.1338 | − | 64.3176i | −1.36691 | − | 2.36756i | ||||
\(739\) | −21.6386 | − | 37.4792i | −0.795989 | − | 1.37869i | −0.922209 | − | 0.386691i | \(-0.873618\pi\) |
0.126220 | − | 0.992002i | \(-0.459715\pi\) | |||||||
\(740\) | 68.7573 | − | 119.091i | 2.52757 | − | 4.37788i | ||||
\(741\) | 6.48535 | 0.238245 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 22.6572 | 0.831211 | 0.415606 | − | 0.909545i | \(-0.363570\pi\) | ||||
0.415606 | + | 0.909545i | \(0.363570\pi\) | |||||||
\(744\) | −11.0310 | + | 19.1063i | −0.404417 | + | 0.700471i | ||||
\(745\) | 18.9021 | + | 32.7395i | 0.692521 | + | 1.19948i | ||||
\(746\) | 20.7201 | + | 35.8884i | 0.758619 | + | 1.31397i | ||||
\(747\) | −21.5926 | + | 37.3994i | −0.790031 | + | 1.36837i | ||||
\(748\) | 7.93265 | 0.290047 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −78.1956 | −2.85530 | ||||||||
\(751\) | −14.9340 | + | 25.8664i | −0.544948 | + | 0.943878i | 0.453662 | + | 0.891174i | \(0.350117\pi\) |
−0.998610 | + | 0.0527044i | \(0.983216\pi\) | |||||||
\(752\) | −26.2746 | − | 45.5089i | −0.958135 | − | 1.65954i | ||||
\(753\) | −17.6638 | − | 30.5947i | −0.643706 | − | 1.11493i | ||||
\(754\) | 0.276347 | − | 0.478647i | 0.0100640 | − | 0.0174313i | ||||
\(755\) | 18.5394 | 0.674716 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.55706 | 0.0929380 | 0.0464690 | − | 0.998920i | \(-0.485203\pi\) | ||||
0.0464690 | + | 0.998920i | \(0.485203\pi\) | |||||||
\(758\) | 16.9747 | − | 29.4011i | 0.616550 | − | 1.06790i | ||||
\(759\) | −5.78083 | − | 10.0127i | −0.209831 | − | 0.363438i | ||||
\(760\) | −40.0868 | − | 69.4323i | −1.45410 | − | 2.51858i | ||||
\(761\) | −7.36444 | + | 12.7556i | −0.266961 | + | 0.462390i | −0.968075 | − | 0.250659i | \(-0.919353\pi\) |
0.701115 | + | 0.713049i | \(0.252686\pi\) | |||||||
\(762\) | −34.7866 | −1.26019 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −126.723 | −4.58467 | ||||||||
\(765\) | −12.0009 | + | 20.7861i | −0.433892 | + | 0.751523i | ||||
\(766\) | 45.1895 | + | 78.2706i | 1.63276 | + | 2.82803i | ||||
\(767\) | 4.12976 | + | 7.15295i | 0.149117 | + | 0.258278i | ||||
\(768\) | 1.24354 | − | 2.15387i | 0.0448724 | − | 0.0777212i | ||||
\(769\) | −36.1692 | −1.30429 | −0.652147 | − | 0.758092i | \(-0.726132\pi\) | ||||
−0.652147 | + | 0.758092i | \(0.726132\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 56.7999 | 2.04560 | ||||||||
\(772\) | −28.5678 | + | 49.4808i | −1.02818 | + | 1.78085i | ||||
\(773\) | −19.4783 | − | 33.7375i | −0.700587 | − | 1.21345i | −0.968261 | − | 0.249943i | \(-0.919588\pi\) |
0.267673 | − | 0.963510i | \(-0.413745\pi\) | |||||||
\(774\) | −11.2897 | − | 19.5543i | −0.405799 | − | 0.702865i | ||||
\(775\) | 4.75152 | − | 8.22988i | 0.170680 | − | 0.295626i |