Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(49,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.i (of order \(6\), degree \(2\), 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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6x^{10} + 29x^{8} - 40x^{6} + 43x^{4} - 7x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.6 | ||
Root | \(0.352587 + 0.203566i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.49 |
Dual form | 95.2.i.b.64.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.12713 | + | 1.22810i | 1.50411 | + | 0.868399i | 0.999989 | + | 0.00476685i | \(0.00151734\pi\) |
0.504123 | + | 0.863632i | \(0.331816\pi\) | |||||||
\(3\) | −1.35190 | − | 0.780522i | −0.780522 | − | 0.450635i | 0.0560930 | − | 0.998426i | \(-0.482136\pi\) |
−0.836615 | + | 0.547791i | \(0.815469\pi\) | |||||||
\(4\) | 2.01647 | + | 3.49262i | 1.00823 | + | 1.74631i | ||||
\(5\) | −0.746759 | + | 2.10769i | −0.333961 | + | 0.942587i | ||||
\(6\) | −1.91712 | − | 3.32055i | −0.782662 | − | 1.35561i | ||||
\(7\) | − | 4.50527i | − | 1.70283i | −0.524490 | − | 0.851417i | \(-0.675744\pi\) | ||
0.524490 | − | 0.851417i | \(-0.324256\pi\) | |||||||
\(8\) | 4.99330i | 1.76540i | ||||||||
\(9\) | −0.281570 | − | 0.487693i | −0.0938566 | − | 0.162564i | ||||
\(10\) | −4.17691 | + | 3.56624i | −1.32086 | + | 1.12774i | ||||
\(11\) | 2.19869 | 0.662930 | 0.331465 | − | 0.943467i | \(-0.392457\pi\) | ||||
0.331465 | + | 0.943467i | \(0.392457\pi\) | |||||||
\(12\) | − | 6.29559i | − | 1.81738i | ||||||
\(13\) | −3.25495 | + | 1.87925i | −0.902761 | + | 0.521209i | −0.878095 | − | 0.478486i | \(-0.841186\pi\) |
−0.0246661 | + | 0.999696i | \(0.507852\pi\) | |||||||
\(14\) | 5.53293 | − | 9.58332i | 1.47874 | − | 2.56125i | ||||
\(15\) | 2.65464 | − | 2.26653i | 0.685426 | − | 0.585216i | ||||
\(16\) | −2.09935 | + | 3.63617i | −0.524836 | + | 0.909043i | ||||
\(17\) | 0.576674 | + | 0.332943i | 0.139864 | + | 0.0807506i | 0.568299 | − | 0.822822i | \(-0.307602\pi\) |
−0.428435 | + | 0.903573i | \(0.640935\pi\) | |||||||
\(18\) | − | 1.38318i | − | 0.326020i | ||||||
\(19\) | −3.79804 | + | 2.13891i | −0.871329 | + | 0.490699i | ||||
\(20\) | −8.86718 | + | 1.64194i | −1.98276 | + | 0.367149i | ||||
\(21\) | −3.51647 | + | 6.09070i | −0.767356 | + | 1.32910i | ||||
\(22\) | 4.67691 | + | 2.70022i | 0.997121 | + | 0.575688i | ||||
\(23\) | −0.422643 | + | 0.244013i | −0.0881272 | + | 0.0508802i | −0.543416 | − | 0.839464i | \(-0.682869\pi\) |
0.455289 | + | 0.890344i | \(0.349536\pi\) | |||||||
\(24\) | 3.89738 | − | 6.75046i | 0.795550 | − | 1.37793i | ||||
\(25\) | −3.88470 | − | 3.14787i | −0.776941 | − | 0.629574i | ||||
\(26\) | −9.23163 | −1.81047 | ||||||||
\(27\) | 5.56222i | 1.07045i | ||||||||
\(28\) | 15.7352 | − | 9.08474i | 2.97368 | − | 1.71685i | ||||
\(29\) | 1.79804 | + | 3.11429i | 0.333887 | + | 0.578309i | 0.983270 | − | 0.182152i | \(-0.0583062\pi\) |
−0.649383 | + | 0.760461i | \(0.724973\pi\) | |||||||
\(30\) | 8.43032 | − | 1.56104i | 1.53916 | − | 0.285006i | ||||
\(31\) | 6.83424 | 1.22747 | 0.613733 | − | 0.789514i | \(-0.289667\pi\) | ||||
0.613733 | + | 0.789514i | \(0.289667\pi\) | |||||||
\(32\) | −0.282531 | + | 0.163119i | −0.0499449 | + | 0.0288357i | ||||
\(33\) | −2.97242 | − | 1.71613i | −0.517432 | − | 0.298739i | ||||
\(34\) | 0.817776 | + | 1.41643i | 0.140247 | + | 0.242916i | ||||
\(35\) | 9.49572 | + | 3.36435i | 1.60507 | + | 0.568679i | ||||
\(36\) | 1.13555 | − | 1.96683i | 0.189259 | − | 0.327806i | ||||
\(37\) | 3.01171i | 0.495123i | 0.968872 | + | 0.247561i | \(0.0796292\pi\) | ||||
−0.968872 | + | 0.247561i | \(0.920371\pi\) | |||||||
\(38\) | −10.7057 | − | 0.114636i | −1.73670 | − | 0.0185964i | ||||
\(39\) | 5.86718 | 0.939500 | ||||||||
\(40\) | −10.5243 | − | 3.72879i | −1.66404 | − | 0.589573i | ||||
\(41\) | −0.0362063 | + | 0.0627112i | −0.00565448 | + | 0.00979384i | −0.868839 | − | 0.495095i | \(-0.835133\pi\) |
0.863184 | + | 0.504889i | \(0.168467\pi\) | |||||||
\(42\) | −14.9600 | + | 8.63716i | −2.30838 | + | 1.33274i | ||||
\(43\) | −0.364199 | − | 0.210271i | −0.0555399 | − | 0.0320660i | 0.471973 | − | 0.881613i | \(-0.343542\pi\) |
−0.527513 | + | 0.849547i | \(0.676875\pi\) | |||||||
\(44\) | 4.43359 | + | 7.67920i | 0.668389 | + | 1.15768i | ||||
\(45\) | 1.23817 | − | 0.229272i | 0.184575 | − | 0.0341779i | ||||
\(46\) | −1.19869 | −0.176737 | ||||||||
\(47\) | −4.34986 | + | 2.51139i | −0.634492 | + | 0.366324i | −0.782490 | − | 0.622664i | \(-0.786050\pi\) |
0.147998 | + | 0.988988i | \(0.452717\pi\) | |||||||
\(48\) | 5.67623 | − | 3.27717i | 0.819293 | − | 0.473019i | ||||
\(49\) | −13.2975 | −1.89964 | ||||||||
\(50\) | −4.39738 | − | 11.4668i | −0.621884 | − | 1.62164i | ||||
\(51\) | −0.519739 | − | 0.900215i | −0.0727780 | − | 0.126055i | ||||
\(52\) | −13.1270 | − | 7.57888i | −1.82039 | − | 1.05100i | ||||
\(53\) | 2.26725 | − | 1.30900i | 0.311430 | − | 0.179804i | −0.336136 | − | 0.941813i | \(-0.609120\pi\) |
0.647566 | + | 0.762009i | \(0.275787\pi\) | |||||||
\(54\) | −6.83097 | + | 11.8316i | −0.929577 | + | 1.61008i | ||||
\(55\) | −1.64189 | + | 4.63416i | −0.221393 | + | 0.624870i | ||||
\(56\) | 22.4962 | 3.00618 | ||||||||
\(57\) | 6.80405 | + | 0.0728572i | 0.901218 | + | 0.00965017i | ||||
\(58\) | 8.83269i | 1.15979i | ||||||||
\(59\) | 6.26783 | − | 10.8562i | 0.816002 | − | 1.41336i | −0.0926038 | − | 0.995703i | \(-0.529519\pi\) |
0.908606 | − | 0.417654i | \(-0.137148\pi\) | |||||||
\(60\) | 13.2691 | + | 4.70129i | 1.71304 | + | 0.606934i | ||||
\(61\) | −3.53293 | − | 6.11922i | −0.452346 | − | 0.783486i | 0.546185 | − | 0.837664i | \(-0.316079\pi\) |
−0.998531 | + | 0.0541782i | \(0.982746\pi\) | |||||||
\(62\) | 14.5374 | + | 8.39315i | 1.84625 | + | 1.06593i | ||||
\(63\) | −2.19719 | + | 1.26855i | −0.276820 | + | 0.159822i | ||||
\(64\) | 7.59607 | 0.949509 | ||||||||
\(65\) | −1.53020 | − | 8.26377i | −0.189799 | − | 1.02499i | ||||
\(66\) | −4.21516 | − | 7.30087i | −0.518850 | − | 0.898675i | ||||
\(67\) | −4.95944 | + | 2.86334i | −0.605892 | + | 0.349812i | −0.771356 | − | 0.636404i | \(-0.780421\pi\) |
0.165464 | + | 0.986216i | \(0.447088\pi\) | |||||||
\(68\) | 2.68548i | 0.325662i | ||||||||
\(69\) | 0.761831 | 0.0917136 | ||||||||
\(70\) | 16.0669 | + | 18.8181i | 1.92036 | + | 2.24920i | ||||
\(71\) | −3.48626 | + | 6.03838i | −0.413743 | + | 0.716624i | −0.995296 | − | 0.0968847i | \(-0.969112\pi\) |
0.581552 | + | 0.813509i | \(0.302446\pi\) | |||||||
\(72\) | 2.43520 | − | 1.40596i | 0.286991 | − | 0.165694i | ||||
\(73\) | 2.56139 | + | 1.47882i | 0.299788 | + | 0.173083i | 0.642348 | − | 0.766413i | \(-0.277961\pi\) |
−0.342560 | + | 0.939496i | \(0.611294\pi\) | |||||||
\(74\) | −3.69869 | + | 6.40632i | −0.429964 | + | 0.744720i | ||||
\(75\) | 2.79476 | + | 7.28772i | 0.322712 | + | 0.841513i | ||||
\(76\) | −15.1290 | − | 8.95208i | −1.73542 | − | 1.02687i | ||||
\(77\) | − | 9.90571i | − | 1.12886i | ||||||
\(78\) | 12.4803 | + | 7.20549i | 1.41311 | + | 0.815861i | ||||
\(79\) | 5.66849 | − | 9.81811i | 0.637755 | − | 1.10462i | −0.348170 | − | 0.937431i | \(-0.613197\pi\) |
0.985924 | − | 0.167192i | \(-0.0534699\pi\) | |||||||
\(80\) | −6.09622 | − | 7.14011i | −0.681578 | − | 0.798289i | ||||
\(81\) | 3.49673 | − | 6.05651i | 0.388525 | − | 0.672946i | ||||
\(82\) | −0.154031 | + | 0.0889301i | −0.0170099 | + | 0.00982068i | ||||
\(83\) | − | 15.6999i | − | 1.72328i | −0.507517 | − | 0.861642i | \(-0.669436\pi\) | ||
0.507517 | − | 0.861642i | \(-0.330564\pi\) | |||||||
\(84\) | −28.3634 | −3.09470 | ||||||||
\(85\) | −1.13238 | + | 0.966822i | −0.122824 | + | 0.104867i | ||||
\(86\) | −0.516467 | − | 0.894547i | −0.0556921 | − | 0.0964615i | ||||
\(87\) | − | 5.61363i | − | 0.601845i | ||||||
\(88\) | 10.9787i | 1.17034i | ||||||||
\(89\) | −0.668486 | − | 1.15785i | −0.0708594 | − | 0.122732i | 0.828419 | − | 0.560109i | \(-0.189241\pi\) |
−0.899278 | + | 0.437377i | \(0.855908\pi\) | |||||||
\(90\) | 2.91532 | + | 1.03290i | 0.307302 | + | 0.108878i | ||||
\(91\) | 8.46652 | + | 14.6644i | 0.887533 | + | 1.53725i | ||||
\(92\) | −1.70449 | − | 0.984089i | −0.177706 | − | 0.102598i | ||||
\(93\) | −9.23924 | − | 5.33428i | −0.958065 | − | 0.553139i | ||||
\(94\) | −12.3370 | −1.27246 | ||||||||
\(95\) | −1.67193 | − | 9.60233i | −0.171536 | − | 0.985178i | ||||
\(96\) | 0.509273 | 0.0519775 | ||||||||
\(97\) | 3.79871 | + | 2.19319i | 0.385701 | + | 0.222685i | 0.680296 | − | 0.732938i | \(-0.261851\pi\) |
−0.294595 | + | 0.955622i | \(0.595185\pi\) | |||||||
\(98\) | −28.2856 | − | 16.3307i | −2.85727 | − | 1.64965i | ||||
\(99\) | −0.619085 | − | 1.07229i | −0.0622204 | − | 0.107769i | ||||
\(100\) | 3.16095 | − | 19.9154i | 0.316095 | − | 1.99154i | ||||
\(101\) | 5.28430 | + | 9.15267i | 0.525807 | + | 0.910725i | 0.999548 | + | 0.0300608i | \(0.00957008\pi\) |
−0.473741 | + | 0.880664i | \(0.657097\pi\) | |||||||
\(102\) | − | 2.55317i | − | 0.252801i | ||||||
\(103\) | 5.75615i | 0.567171i | 0.958947 | + | 0.283585i | \(0.0915239\pi\) | ||||
−0.958947 | + | 0.283585i | \(0.908476\pi\) | |||||||
\(104\) | −9.38364 | − | 16.2529i | −0.920142 | − | 1.59373i | ||||
\(105\) | −10.2113 | − | 11.9599i | −0.996525 | − | 1.16717i | ||||
\(106\) | 6.43032 | 0.624568 | ||||||||
\(107\) | 1.30229i | 0.125897i | 0.998017 | + | 0.0629486i | \(0.0200504\pi\) | ||||
−0.998017 | + | 0.0629486i | \(0.979950\pi\) | |||||||
\(108\) | −19.4267 | + | 11.2160i | −1.86934 | + | 1.07926i | ||||
\(109\) | −6.01647 | + | 10.4208i | −0.576273 | + | 0.998134i | 0.419629 | + | 0.907696i | \(0.362160\pi\) |
−0.995902 | + | 0.0904385i | \(0.971173\pi\) | |||||||
\(110\) | −9.18374 | + | 7.84106i | −0.875635 | + | 0.747616i | ||||
\(111\) | 2.35071 | − | 4.07155i | 0.223120 | − | 0.386454i | ||||
\(112\) | 16.3820 | + | 9.45813i | 1.54795 | + | 0.893709i | ||||
\(113\) | 7.74626i | 0.728707i | 0.931261 | + | 0.364353i | \(0.118710\pi\) | ||||
−0.931261 | + | 0.364353i | \(0.881290\pi\) | |||||||
\(114\) | 14.3836 | + | 8.51104i | 1.34715 | + | 0.797132i | ||||
\(115\) | −0.198691 | − | 1.07302i | −0.0185281 | − | 0.100060i | ||||
\(116\) | −7.25136 | + | 12.5597i | −0.673272 | + | 1.16614i | ||||
\(117\) | 1.83299 | + | 1.05828i | 0.169460 | + | 0.0978378i | ||||
\(118\) | 26.6650 | − | 15.3951i | 2.45472 | − | 1.41723i | ||||
\(119\) | 1.50000 | − | 2.59808i | 0.137505 | − | 0.238165i | ||||
\(120\) | 11.3175 | + | 13.2554i | 1.03314 | + | 1.21005i | ||||
\(121\) | −6.16576 | −0.560523 | ||||||||
\(122\) | − | 17.3552i | − | 1.57127i | ||||||
\(123\) | 0.0978950 | − | 0.0565197i | 0.00882689 | − | 0.00509621i | ||||
\(124\) | 13.7810 | + | 23.8694i | 1.23757 | + | 2.14354i | ||||
\(125\) | 9.53566 | − | 5.83705i | 0.852896 | − | 0.522081i | ||||
\(126\) | −6.23163 | −0.555157 | ||||||||
\(127\) | 3.40898 | − | 1.96818i | 0.302498 | − | 0.174647i | −0.341066 | − | 0.940039i | \(-0.610788\pi\) |
0.643565 | + | 0.765392i | \(0.277455\pi\) | |||||||
\(128\) | 16.7229 | + | 9.65499i | 1.47811 | + | 0.853389i | ||||
\(129\) | 0.328242 | + | 0.568531i | 0.0289001 | + | 0.0500564i | ||||
\(130\) | 6.89380 | − | 19.4574i | 0.604626 | − | 1.70653i | ||||
\(131\) | 8.16248 | − | 14.1378i | 0.713160 | − | 1.23523i | −0.250505 | − | 0.968115i | \(-0.580597\pi\) |
0.963665 | − | 0.267114i | \(-0.0860699\pi\) | |||||||
\(132\) | − | 13.8421i | − | 1.20480i | ||||||
\(133\) | 9.63635 | + | 17.1112i | 0.835578 | + | 1.48373i | ||||
\(134\) | −14.0659 | −1.21511 | ||||||||
\(135\) | −11.7234 | − | 4.15364i | −1.00899 | − | 0.357488i | ||||
\(136\) | −1.66248 | + | 2.87951i | −0.142557 | + | 0.246916i | ||||
\(137\) | 14.2293 | − | 8.21529i | 1.21569 | − | 0.701879i | 0.251697 | − | 0.967806i | \(-0.419011\pi\) |
0.963993 | + | 0.265927i | \(0.0856780\pi\) | |||||||
\(138\) | 1.62052 | + | 0.935605i | 0.137947 | + | 0.0796440i | ||||
\(139\) | −1.33424 | − | 2.31098i | −0.113169 | − | 0.196015i | 0.803877 | − | 0.594795i | \(-0.202767\pi\) |
−0.917046 | + | 0.398781i | \(0.869433\pi\) | |||||||
\(140\) | 7.39738 | + | 39.9491i | 0.625193 | + | 3.37631i | ||||
\(141\) | 7.84079 | 0.660313 | ||||||||
\(142\) | −14.8315 | + | 8.56297i | −1.24463 | + | 0.718588i | ||||
\(143\) | −7.15663 | + | 4.13188i | −0.598468 | + | 0.345526i | ||||
\(144\) | 2.36445 | 0.197037 | ||||||||
\(145\) | −7.90666 | + | 1.46408i | −0.656612 | + | 0.121585i | ||||
\(146\) | 3.63228 | + | 6.29129i | 0.300610 | + | 0.520671i | ||||
\(147\) | 17.9769 | + | 10.3790i | 1.48271 | + | 0.856045i | ||||
\(148\) | −10.5188 | + | 6.07302i | −0.864639 | + | 0.499199i | ||||
\(149\) | −8.98299 | + | 15.5590i | −0.735915 | + | 1.27464i | 0.218405 | + | 0.975858i | \(0.429915\pi\) |
−0.954321 | + | 0.298784i | \(0.903419\pi\) | |||||||
\(150\) | −3.00522 | + | 18.9342i | −0.245375 | + | 1.54597i | ||||
\(151\) | −12.7344 | −1.03631 | −0.518154 | − | 0.855288i | \(-0.673380\pi\) | ||||
−0.518154 | + | 0.855288i | \(0.673380\pi\) | |||||||
\(152\) | −10.6802 | − | 18.9647i | −0.866278 | − | 1.53824i | ||||
\(153\) | − | 0.374987i | − | 0.0303159i | ||||||
\(154\) | 12.1652 | − | 21.0708i | 0.980301 | − | 1.69793i | ||||
\(155\) | −5.10353 | + | 14.4045i | −0.409925 | + | 1.15699i | ||||
\(156\) | 11.8310 | + | 20.4918i | 0.947236 | + | 1.64066i | ||||
\(157\) | −17.3674 | − | 10.0270i | −1.38607 | − | 0.800245i | −0.393197 | − | 0.919454i | \(-0.628631\pi\) |
−0.992869 | + | 0.119209i | \(0.961964\pi\) | |||||||
\(158\) | 24.1153 | − | 13.9230i | 1.91851 | − | 1.10765i | ||||
\(159\) | −4.08680 | −0.324104 | ||||||||
\(160\) | −0.132822 | − | 0.717298i | −0.0105005 | − | 0.0567074i | ||||
\(161\) | 1.09935 | + | 1.90412i | 0.0866406 | + | 0.150066i | ||||
\(162\) | 14.8760 | − | 8.58867i | 1.16877 | − | 0.674790i | ||||
\(163\) | − | 14.2331i | − | 1.11482i | −0.830236 | − | 0.557412i | \(-0.811794\pi\) | ||
0.830236 | − | 0.557412i | \(-0.188206\pi\) | |||||||
\(164\) | −0.292035 | −0.0228041 | ||||||||
\(165\) | 5.83674 | − | 4.98340i | 0.454390 | − | 0.387957i | ||||
\(166\) | 19.2810 | − | 33.3957i | 1.49650 | − | 2.59201i | ||||
\(167\) | −4.86386 | + | 2.80815i | −0.376376 | + | 0.217301i | −0.676241 | − | 0.736681i | \(-0.736392\pi\) |
0.299864 | + | 0.953982i | \(0.403059\pi\) | |||||||
\(168\) | −30.4127 | − | 17.5588i | −2.34639 | − | 1.35469i | ||||
\(169\) | 0.563139 | − | 0.975386i | 0.0433184 | − | 0.0750297i | ||||
\(170\) | −3.59607 | + | 0.665886i | −0.275806 | + | 0.0510711i | ||||
\(171\) | 2.11254 | + | 1.25002i | 0.161550 | + | 0.0955918i | ||||
\(172\) | − | 1.69601i | − | 0.129320i | ||||||
\(173\) | 9.25824 | + | 5.34524i | 0.703891 | + | 0.406391i | 0.808795 | − | 0.588091i | \(-0.200120\pi\) |
−0.104904 | + | 0.994482i | \(0.533454\pi\) | |||||||
\(174\) | 6.89411 | − | 11.9409i | 0.522641 | − | 0.905241i | ||||
\(175\) | −14.1820 | + | 17.5017i | −1.07206 | + | 1.32300i | ||||
\(176\) | −4.61581 | + | 7.99482i | −0.347930 | + | 0.602632i | ||||
\(177\) | −16.9470 | + | 9.78437i | −1.27382 | + | 0.735438i | ||||
\(178\) | − | 3.28388i | − | 0.246137i | ||||||
\(179\) | −7.68942 | −0.574734 | −0.287367 | − | 0.957821i | \(-0.592780\pi\) | ||||
−0.287367 | + | 0.957821i | \(0.592780\pi\) | |||||||
\(180\) | 3.29749 | + | 3.86214i | 0.245780 | + | 0.287867i | ||||
\(181\) | 3.06314 | + | 5.30551i | 0.227681 | + | 0.394356i | 0.957121 | − | 0.289690i | \(-0.0935522\pi\) |
−0.729439 | + | 0.684046i | \(0.760219\pi\) | |||||||
\(182\) | 41.5910i | 3.08293i | ||||||||
\(183\) | 11.0301i | 0.815371i | ||||||||
\(184\) | −1.21843 | − | 2.11038i | −0.0898239 | − | 0.155580i | ||||
\(185\) | −6.34776 | − | 2.24902i | −0.466696 | − | 0.165351i | ||||
\(186\) | −13.1021 | − | 22.6935i | −0.960691 | − | 1.66397i | ||||
\(187\) | 1.26793 | + | 0.732039i | 0.0927201 | + | 0.0535320i | ||||
\(188\) | −17.5427 | − | 10.1283i | −1.27943 | − | 0.738680i | ||||
\(189\) | 25.0593 | 1.82280 | ||||||||
\(190\) | 8.23621 | − | 22.4787i | 0.597518 | − | 1.63078i | ||||
\(191\) | 5.85517 | 0.423666 | 0.211833 | − | 0.977306i | \(-0.432057\pi\) | ||||
0.211833 | + | 0.977306i | \(0.432057\pi\) | |||||||
\(192\) | −10.2692 | − | 5.92891i | −0.741113 | − | 0.427882i | ||||
\(193\) | −2.24402 | − | 1.29559i | −0.161528 | − | 0.0932584i | 0.417057 | − | 0.908880i | \(-0.363062\pi\) |
−0.578585 | + | 0.815622i | \(0.696395\pi\) | |||||||
\(194\) | 5.38692 | + | 9.33041i | 0.386758 | + | 0.669885i | ||||
\(195\) | −4.38137 | + | 12.3662i | −0.313756 | + | 0.885561i | ||||
\(196\) | −26.8140 | − | 46.4431i | −1.91528 | − | 3.31737i | ||||
\(197\) | 19.8628i | 1.41517i | 0.706629 | + | 0.707584i | \(0.250215\pi\) | ||||
−0.706629 | + | 0.707584i | \(0.749785\pi\) | |||||||
\(198\) | − | 3.04120i | − | 0.216128i | ||||||
\(199\) | −6.38092 | − | 11.0521i | −0.452331 | − | 0.783460i | 0.546199 | − | 0.837655i | \(-0.316074\pi\) |
−0.998530 | + | 0.0541948i | \(0.982741\pi\) | |||||||
\(200\) | 15.7183 | − | 19.3975i | 1.11145 | − | 1.37161i | ||||
\(201\) | 8.93959 | 0.630550 | ||||||||
\(202\) | 25.9586i | 1.82644i | ||||||||
\(203\) | 14.0307 | − | 8.10065i | 0.984765 | − | 0.568554i | ||||
\(204\) | 2.09607 | − | 3.63051i | 0.146755 | − | 0.254186i | ||||
\(205\) | −0.105138 | − | 0.123142i | −0.00734318 | − | 0.00860059i | ||||
\(206\) | −7.06914 | + | 12.2441i | −0.492530 | + | 0.853088i | ||||
\(207\) | 0.238007 | + | 0.137413i | 0.0165426 | + | 0.00955089i | ||||
\(208\) | − | 15.7808i | − | 1.09420i | ||||||
\(209\) | −8.35071 | + | 4.70279i | −0.577631 | + | 0.325299i | ||||
\(210\) | −7.03293 | − | 37.9809i | −0.485319 | − | 2.62093i | ||||
\(211\) | −6.92759 | + | 11.9989i | −0.476915 | + | 0.826041i | −0.999650 | − | 0.0264545i | \(-0.991578\pi\) |
0.522735 | + | 0.852495i | \(0.324912\pi\) | |||||||
\(212\) | 9.14366 | + | 5.27909i | 0.627989 | + | 0.362570i | ||||
\(213\) | 9.42619 | − | 5.44221i | 0.645872 | − | 0.372894i | ||||
\(214\) | −1.59935 | + | 2.77015i | −0.109329 | + | 0.189363i | ||||
\(215\) | 0.715154 | − | 0.610597i | 0.0487731 | − | 0.0416424i | ||||
\(216\) | −27.7738 | −1.88977 | ||||||||
\(217\) | − | 30.7901i | − | 2.09017i | ||||||
\(218\) | −25.5957 | + | 14.7777i | −1.73356 | + | 1.00087i | ||||
\(219\) | −2.30850 | − | 3.99844i | −0.155994 | − | 0.270190i | ||||
\(220\) | −19.4962 | + | 3.61012i | −1.31443 | + | 0.243394i | ||||
\(221\) | −2.50273 | −0.168352 | ||||||||
\(222\) | 10.0006 | − | 5.77382i | 0.671193 | − | 0.387514i | ||||
\(223\) | 18.7893 | + | 10.8480i | 1.25823 | + | 0.726437i | 0.972729 | − | 0.231943i | \(-0.0745083\pi\) |
0.285496 | + | 0.958380i | \(0.407842\pi\) | |||||||
\(224\) | 0.734898 | + | 1.27288i | 0.0491024 | + | 0.0850479i | ||||
\(225\) | −0.441379 | + | 2.78089i | −0.0294253 | + | 0.185392i | ||||
\(226\) | −9.51320 | + | 16.4773i | −0.632808 | + | 1.09606i | ||||
\(227\) | 8.19628i | 0.544006i | 0.962296 | + | 0.272003i | \(0.0876861\pi\) | ||||
−0.962296 | + | 0.272003i | \(0.912314\pi\) | |||||||
\(228\) | 13.4657 | + | 23.9109i | 0.891786 | + | 1.58354i | ||||
\(229\) | 16.6619 | 1.10105 | 0.550526 | − | 0.834818i | \(-0.314427\pi\) | ||||
0.550526 | + | 0.834818i | \(0.314427\pi\) | |||||||
\(230\) | 0.895133 | − | 2.52647i | 0.0590233 | − | 0.166590i | ||||
\(231\) | −7.73163 | + | 13.3916i | −0.508704 | + | 0.881101i | ||||
\(232\) | −15.5506 | + | 8.97814i | −1.02095 | + | 0.589444i | ||||
\(233\) | 10.5772 | + | 6.10677i | 0.692937 | + | 0.400068i | 0.804711 | − | 0.593666i | \(-0.202320\pi\) |
−0.111774 | + | 0.993734i | \(0.535653\pi\) | |||||||
\(234\) | 2.59935 | + | 4.50220i | 0.169925 | + | 0.294318i | ||||
\(235\) | −2.04494 | − | 11.0435i | −0.133397 | − | 0.720402i | ||||
\(236\) | 50.5555 | 3.29088 | ||||||||
\(237\) | −15.3265 | + | 8.84876i | −0.995563 | + | 0.574789i | ||||
\(238\) | 6.38140 | − | 3.68430i | 0.413645 | − | 0.238818i | ||||
\(239\) | −2.03948 | −0.131923 | −0.0659614 | − | 0.997822i | \(-0.521011\pi\) | ||||
−0.0659614 | + | 0.997822i | \(0.521011\pi\) | |||||||
\(240\) | 2.66849 | + | 14.4110i | 0.172250 | + | 0.930225i | ||||
\(241\) | −8.76183 | − | 15.1759i | −0.564399 | − | 0.977568i | −0.997105 | − | 0.0760330i | \(-0.975775\pi\) |
0.432706 | − | 0.901535i | \(-0.357559\pi\) | |||||||
\(242\) | −13.1154 | − | 7.57218i | −0.843089 | − | 0.486758i | ||||
\(243\) | 4.99659 | − | 2.88478i | 0.320531 | − | 0.185059i | ||||
\(244\) | 14.2481 | − | 24.6784i | 0.912141 | − | 1.57987i | ||||
\(245\) | 9.93002 | − | 28.0270i | 0.634406 | − | 1.79058i | ||||
\(246\) | 0.277648 | 0.0177022 | ||||||||
\(247\) | 8.34289 | − | 14.0995i | 0.530846 | − | 0.897129i | ||||
\(248\) | 34.1254i | 2.16697i | ||||||||
\(249\) | −12.2541 | + | 21.2247i | −0.776572 | + | 1.34506i | ||||
\(250\) | 27.4521 | − | 0.705418i | 1.73622 | − | 0.0446146i | ||||
\(251\) | 1.66903 | + | 2.89084i | 0.105348 | + | 0.182468i | 0.913880 | − | 0.405984i | \(-0.133071\pi\) |
−0.808532 | + | 0.588452i | \(0.799738\pi\) | |||||||
\(252\) | −8.86112 | − | 5.11597i | −0.558198 | − | 0.322276i | ||||
\(253\) | −0.929261 | + | 0.536509i | −0.0584222 | + | 0.0337301i | ||||
\(254\) | 9.66849 | 0.606655 | ||||||||
\(255\) | 2.28549 | − | 0.423205i | 0.143123 | − | 0.0265021i | ||||
\(256\) | 16.1185 | + | 27.9181i | 1.00741 | + | 1.74488i | ||||
\(257\) | −23.8889 | + | 13.7922i | −1.49015 | + | 0.860337i | −0.999937 | − | 0.0112676i | \(-0.996413\pi\) |
−0.490210 | + | 0.871604i | \(0.663080\pi\) | |||||||
\(258\) | 1.61246i | 0.100387i | ||||||||
\(259\) | 13.5686 | 0.843112 | ||||||||
\(260\) | 25.7766 | − | 22.0080i | 1.59860 | − | 1.36488i | ||||
\(261\) | 1.01255 | − | 1.75378i | 0.0626750 | − | 0.108556i | ||||
\(262\) | 34.7254 | − | 20.0487i | 2.14534 | − | 1.23861i | ||||
\(263\) | −11.8006 | − | 6.81310i | −0.727658 | − | 0.420114i | 0.0899066 | − | 0.995950i | \(-0.471343\pi\) |
−0.817565 | + | 0.575837i | \(0.804676\pi\) | |||||||
\(264\) | 8.56914 | − | 14.8422i | 0.527394 | − | 0.913473i | ||||
\(265\) | 1.06587 | + | 5.75615i | 0.0654758 | + | 0.353598i | ||||
\(266\) | −0.516467 | + | 48.2322i | −0.0316666 | + | 2.95731i | ||||
\(267\) | 2.08707i | 0.127727i | ||||||||
\(268\) | −20.0011 | − | 11.5476i | −1.22176 | − | 0.705385i | ||||
\(269\) | −1.80404 | + | 3.12469i | −0.109994 | + | 0.190515i | −0.915768 | − | 0.401708i | \(-0.868417\pi\) |
0.805773 | + | 0.592224i | \(0.201750\pi\) | |||||||
\(270\) | −19.8362 | − | 23.2329i | −1.20719 | − | 1.41391i | ||||
\(271\) | −5.28157 | + | 9.14795i | −0.320833 | + | 0.555698i | −0.980660 | − | 0.195719i | \(-0.937296\pi\) |
0.659828 | + | 0.751417i | \(0.270629\pi\) | |||||||
\(272\) | −2.42128 | + | 1.39793i | −0.146812 | + | 0.0847617i | ||||
\(273\) | − | 26.4332i | − | 1.59981i | ||||||
\(274\) | 40.3568 | 2.43804 | ||||||||
\(275\) | −8.54126 | − | 6.92119i | −0.515058 | − | 0.417364i | ||||
\(276\) | 1.53621 | + | 2.66079i | 0.0924688 | + | 0.160161i | ||||
\(277\) | − | 6.73487i | − | 0.404659i | −0.979317 | − | 0.202330i | \(-0.935149\pi\) | ||
0.979317 | − | 0.202330i | \(-0.0648512\pi\) | |||||||
\(278\) | − | 6.55434i | − | 0.393103i | ||||||
\(279\) | −1.92432 | − | 3.33301i | −0.115206 | − | 0.199542i | ||||
\(280\) | −16.7992 | + | 47.4150i | −1.00395 | + | 2.83359i | ||||
\(281\) | −11.7152 | − | 20.2912i | −0.698868 | − | 1.21047i | −0.968859 | − | 0.247612i | \(-0.920354\pi\) |
0.269992 | − | 0.962863i | \(-0.412979\pi\) | |||||||
\(282\) | 16.6784 | + | 9.62928i | 0.993185 | + | 0.573415i | ||||
\(283\) | −12.7160 | − | 7.34157i | −0.755886 | − | 0.436411i | 0.0719306 | − | 0.997410i | \(-0.477084\pi\) |
−0.827817 | + | 0.560999i | \(0.810417\pi\) | |||||||
\(284\) | −28.1197 | −1.66860 | ||||||||
\(285\) | −5.23454 | + | 14.2864i | −0.310067 | + | 0.846254i | ||||
\(286\) | −20.2975 | −1.20022 | ||||||||
\(287\) | 0.282531 | + | 0.163119i | 0.0166773 | + | 0.00962863i | ||||
\(288\) | 0.159104 | + | 0.0918589i | 0.00937531 | + | 0.00541284i | ||||
\(289\) | −8.27830 | − | 14.3384i | −0.486959 | − | 0.843437i | ||||
\(290\) | −18.6166 | − | 6.59589i | −1.09320 | − | 0.387324i | ||||
\(291\) | −3.42367 | − | 5.92996i | −0.200699 | − | 0.347621i | ||||
\(292\) | 11.9280i | 0.698031i | ||||||||
\(293\) | 18.1855i | 1.06241i | 0.847243 | + | 0.531206i | \(0.178261\pi\) | ||||
−0.847243 | + | 0.531206i | \(0.821739\pi\) | |||||||
\(294\) | 25.4929 | + | 44.1550i | 1.48678 | + | 2.57517i | ||||
\(295\) | 18.2009 | + | 21.3176i | 1.05970 | + | 1.24116i | ||||
\(296\) | −15.0384 | −0.874089 | ||||||||
\(297\) | 12.2296i | 0.709634i | ||||||||
\(298\) | −38.2161 | + | 22.0641i | −2.21380 | + | 1.27814i | ||||
\(299\) | 0.917122 | − | 1.58850i | 0.0530385 | − | 0.0918654i | ||||
\(300\) | −19.8177 | + | 24.4565i | −1.14418 | + | 1.41200i | ||||
\(301\) | −0.947326 | + | 1.64082i | −0.0546030 | + | 0.0945752i | ||||
\(302\) | −27.0877 | − | 15.6391i | −1.55872 | − | 0.899928i | ||||
\(303\) | − | 16.4981i | − | 0.947788i | ||||||
\(304\) | 0.195962 | − | 18.3006i | 0.0112392 | − | 1.04961i | ||||
\(305\) | 15.5357 | − | 2.87674i | 0.889570 | − | 0.164722i | ||||
\(306\) | 0.460522 | − | 0.797647i | 0.0263263 | − | 0.0455985i | ||||
\(307\) | −25.4439 | − | 14.6901i | −1.45216 | − | 0.838406i | −0.453559 | − | 0.891226i | \(-0.649846\pi\) |
−0.998604 | + | 0.0528200i | \(0.983179\pi\) | |||||||
\(308\) | 34.5969 | − | 19.9745i | 1.97134 | − | 1.13815i | ||||
\(309\) | 4.49281 | − | 7.78177i | 0.255587 | − | 0.442689i | ||||
\(310\) | −28.5460 | + | 24.3726i | −1.62131 | + | 1.38427i | ||||
\(311\) | −0.193232 | −0.0109572 | −0.00547859 | − | 0.999985i | \(-0.501744\pi\) | ||||
−0.00547859 | + | 0.999985i | \(0.501744\pi\) | |||||||
\(312\) | 29.2966i | 1.65859i | ||||||||
\(313\) | 18.4251 | − | 10.6377i | 1.04145 | − | 0.601281i | 0.121206 | − | 0.992627i | \(-0.461324\pi\) |
0.920243 | + | 0.391346i | \(0.127991\pi\) | |||||||
\(314\) | −24.6285 | − | 42.6578i | −1.38986 | − | 2.40732i | ||||
\(315\) | −1.03293 | − | 5.57829i | −0.0581993 | − | 0.314301i | ||||
\(316\) | 45.7213 | 2.57202 | ||||||||
\(317\) | 16.6018 | − | 9.58506i | 0.932451 | − | 0.538351i | 0.0448649 | − | 0.998993i | \(-0.485714\pi\) |
0.887586 | + | 0.460642i | \(0.152381\pi\) | |||||||
\(318\) | −8.69317 | − | 5.01901i | −0.487489 | − | 0.281452i | ||||
\(319\) | 3.95333 | + | 6.84736i | 0.221344 | + | 0.383379i | ||||
\(320\) | −5.67243 | + | 16.0102i | −0.317099 | + | 0.894995i | ||||
\(321\) | 1.01647 | − | 1.76057i | 0.0567337 | − | 0.0982656i | ||||
\(322\) | 5.40043i | 0.300954i | ||||||||
\(323\) | −2.90236 | − | 0.0310783i | −0.161492 | − | 0.00172924i | ||||
\(324\) | 28.2042 | 1.56690 | ||||||||
\(325\) | 18.5601 | + | 2.94584i | 1.02953 | + | 0.163406i | ||||
\(326\) | 17.4797 | − | 30.2758i | 0.968112 | − | 1.67682i | ||||
\(327\) | 16.2674 | − | 9.39197i | 0.899588 | − | 0.519377i | ||||
\(328\) | −0.313136 | − | 0.180789i | −0.0172900 | − | 0.00998240i | ||||
\(329\) | 11.3145 | + | 19.5973i | 0.623789 | + | 1.08043i | ||||
\(330\) | 18.5357 | − | 3.43226i | 1.02035 | − | 0.188939i | ||||
\(331\) | −20.6070 | −1.13266 | −0.566331 | − | 0.824178i | \(-0.691638\pi\) | ||||
−0.566331 | + | 0.824178i | \(0.691638\pi\) | |||||||
\(332\) | 54.8337 | − | 31.6583i | 3.00939 | − | 1.73747i | ||||
\(333\) | 1.46879 | − | 0.848007i | 0.0804893 | − | 0.0464705i | ||||
\(334\) | −13.7948 | −0.754816 | ||||||||
\(335\) | −2.33151 | − | 12.5912i | −0.127384 | − | 0.687930i | ||||
\(336\) | −14.7646 | − | 25.5730i | −0.805473 | − | 1.39512i | ||||
\(337\) | 8.83982 | + | 5.10368i | 0.481536 | + | 0.278015i | 0.721056 | − | 0.692876i | \(-0.243657\pi\) |
−0.239520 | + | 0.970891i | \(0.576990\pi\) | |||||||
\(338\) | 2.39575 | − | 1.38318i | 0.130311 | − | 0.0752353i | ||||
\(339\) | 6.04613 | − | 10.4722i | 0.328381 | − | 0.568772i | ||||
\(340\) | −5.66015 | − | 2.00540i | −0.306965 | − | 0.108758i | ||||
\(341\) | 15.0264 | 0.813725 | ||||||||
\(342\) | 2.95850 | + | 5.25339i | 0.159977 | + | 0.284071i | ||||
\(343\) | 28.3719i | 1.53194i | ||||||||
\(344\) | 1.04994 | − | 1.81856i | 0.0566092 | − | 0.0980500i | ||||
\(345\) | −0.568904 | + | 1.60570i | −0.0306287 | + | 0.0864481i | ||||
\(346\) | 13.1290 | + | 22.7401i | 0.705820 | + | 1.22252i | ||||
\(347\) | −4.71213 | − | 2.72055i | −0.252960 | − | 0.146047i | 0.368159 | − | 0.929763i | \(-0.379988\pi\) |
−0.621119 | + | 0.783716i | \(0.713322\pi\) | |||||||
\(348\) | 19.6063 | − | 11.3197i | 1.05101 | − | 0.606800i | ||||
\(349\) | 1.55114 | 0.0830304 | 0.0415152 | − | 0.999138i | \(-0.486781\pi\) | ||||
0.0415152 | + | 0.999138i | \(0.486781\pi\) | |||||||
\(350\) | −51.6609 | + | 19.8114i | −2.76139 | + | 1.05896i | ||||
\(351\) | −10.4528 | − | 18.1048i | −0.557928 | − | 0.966360i | ||||
\(352\) | −0.621199 | + | 0.358649i | −0.0331100 | + | 0.0191161i | ||||
\(353\) | 32.9335i | 1.75287i | 0.481517 | + | 0.876437i | \(0.340086\pi\) | ||||
−0.481517 | + | 0.876437i | \(0.659914\pi\) | |||||||
\(354\) | −48.0648 | −2.55461 | ||||||||
\(355\) | −10.1236 | − | 11.8572i | −0.537307 | − | 0.629313i | ||||
\(356\) | 2.69596 | − | 4.66954i | 0.142886 | − | 0.247485i | ||||
\(357\) | −4.05571 | + | 2.34157i | −0.214651 | + | 0.123929i | ||||
\(358\) | −16.3564 | − | 9.44339i | −0.864464 | − | 0.499098i | ||||
\(359\) | −1.74864 | + | 3.02873i | −0.0922894 | + | 0.159850i | −0.908474 | − | 0.417941i | \(-0.862752\pi\) |
0.816185 | + | 0.577791i | \(0.196085\pi\) | |||||||
\(360\) | 1.14483 | + | 6.18255i | 0.0603376 | + | 0.325849i | ||||
\(361\) | 9.85017 | − | 16.2473i | 0.518430 | − | 0.855120i | ||||
\(362\) | 15.0474i | 0.790873i | ||||||||
\(363\) | 8.33551 | + | 4.81251i | 0.437501 | + | 0.252591i | ||||
\(364\) | −34.1449 | + | 59.1408i | −1.78968 | + | 3.09982i | ||||
\(365\) | −5.02963 | + | 4.29429i | −0.263263 | + | 0.224773i | ||||
\(366\) | −13.5461 | + | 23.4626i | −0.708068 | + | 1.22641i | ||||
\(367\) | 16.8909 | − | 9.75196i | 0.881697 | − | 0.509048i | 0.0104794 | − | 0.999945i | \(-0.496664\pi\) |
0.871218 | + | 0.490897i | \(0.163331\pi\) | |||||||
\(368\) | − | 2.04907i | − | 0.106815i | ||||||
\(369\) | 0.0407784 | 0.00212284 | ||||||||
\(370\) | −10.7405 | − | 12.5797i | −0.558372 | − | 0.653986i | ||||
\(371\) | −5.89738 | − | 10.2146i | −0.306177 | − | 0.530314i | ||||
\(372\) | − | 43.0256i | − | 2.23077i | ||||||
\(373\) | − | 23.5158i | − | 1.21760i | −0.793322 | − | 0.608802i | \(-0.791650\pi\) | ||
0.793322 | − | 0.608802i | \(-0.208350\pi\) | |||||||
\(374\) | 1.79804 | + | 3.11429i | 0.0929743 | + | 0.161036i | ||||
\(375\) | −17.4473 | + | 0.448330i | −0.900972 | + | 0.0231517i | ||||
\(376\) | −12.5401 | − | 21.7201i | −0.646708 | − | 1.12013i | ||||
\(377\) | −11.7050 | − | 6.75791i | −0.602841 | − | 0.348050i | ||||
\(378\) | 53.3046 | + | 30.7754i | 2.74169 | + | 1.58292i | ||||
\(379\) | 7.05148 | 0.362210 | 0.181105 | − | 0.983464i | \(-0.442033\pi\) | ||||
0.181105 | + | 0.983464i | \(0.442033\pi\) | |||||||
\(380\) | 30.1659 | − | 25.2022i | 1.54748 | − | 1.29285i | ||||
\(381\) | −6.14483 | −0.314809 | ||||||||
\(382\) | 12.4547 | + | 7.19075i | 0.637240 | + | 0.367911i | ||||
\(383\) | 2.67090 | + | 1.54204i | 0.136476 | + | 0.0787947i | 0.566684 | − | 0.823935i | \(-0.308226\pi\) |
−0.430207 | + | 0.902730i | \(0.641560\pi\) | |||||||
\(384\) | −15.0719 | − | 26.1052i | −0.769133 | − | 1.33218i | ||||
\(385\) | 20.8781 | + | 7.39717i | 1.06405 | + | 0.376995i | ||||
\(386\) | −3.18222 | − | 5.51177i | −0.161971 | − | 0.280542i | ||||
\(387\) | 0.236823i | 0.0120384i | ||||||||
\(388\) | 17.6900i | 0.898072i | ||||||||
\(389\) | 4.69542 | + | 8.13270i | 0.238067 | + | 0.412345i | 0.960160 | − | 0.279452i | \(-0.0901528\pi\) |
−0.722092 | + | 0.691797i | \(0.756819\pi\) | |||||||
\(390\) | −24.5067 | + | 20.9238i | −1.24094 | + | 1.05952i | ||||
\(391\) | −0.324970 | −0.0164344 | ||||||||
\(392\) | − | 66.3984i | − | 3.35362i | ||||||
\(393\) | −22.0698 | + | 12.7420i | −1.11327 | + | 0.642749i | ||||
\(394\) | −24.3936 | + | 42.2509i | −1.22893 | + | 2.12857i | ||||
\(395\) | 16.4605 | + | 19.2792i | 0.828219 | + | 0.970040i | ||||
\(396\) | 2.49673 | − | 4.32446i | 0.125465 | − | 0.217312i | ||||
\(397\) | 23.1744 | + | 13.3797i | 1.16309 | + | 0.671510i | 0.952042 | − | 0.305966i | \(-0.0989794\pi\) |
0.211047 | + | 0.977476i | \(0.432313\pi\) | |||||||
\(398\) | − | 31.3456i | − | 1.57122i | ||||||
\(399\) | 0.328242 | − | 30.6541i | 0.0164326 | − | 1.53462i | ||||
\(400\) | 19.6015 | − | 7.51699i | 0.980077 | − | 0.375849i | ||||
\(401\) | 12.5851 | − | 21.7980i | 0.628468 | − | 1.08854i | −0.359391 | − | 0.933187i | \(-0.617016\pi\) |
0.987859 | − | 0.155352i | \(-0.0496511\pi\) | |||||||
\(402\) | 19.0157 | + | 10.9787i | 0.948417 | + | 0.547569i | ||||
\(403\) | −22.2451 | + | 12.8432i | −1.10811 | + | 0.639767i | ||||
\(404\) | −21.3112 | + | 36.9121i | −1.06027 | + | 1.83645i | ||||
\(405\) | 10.1540 | + | 11.8928i | 0.504558 | + | 0.590956i | ||||
\(406\) | 39.7937 | 1.97493 | ||||||||
\(407\) | 6.62183i | 0.328232i | ||||||||
\(408\) | 4.49504 | − | 2.59521i | 0.222538 | − | 0.128482i | ||||
\(409\) | −14.1608 | − | 24.5271i | −0.700204 | − | 1.21279i | −0.968395 | − | 0.249423i | \(-0.919759\pi\) |
0.268191 | − | 0.963366i | \(-0.413574\pi\) | |||||||
\(410\) | −0.0724126 | − | 0.391060i | −0.00357621 | − | 0.0193131i | ||||
\(411\) | −25.6489 | −1.26516 | ||||||||
\(412\) | −20.1041 | + | 11.6071i | −0.990457 | + | 0.571840i | ||||
\(413\) | −48.9102 | − | 28.2383i | −2.40671 | − | 1.38952i | ||||
\(414\) | 0.337515 | + | 0.584593i | 0.0165880 | + | 0.0287312i | ||||
\(415\) | 33.0904 | + | 11.7240i | 1.62435 | + | 0.575509i | ||||
\(416\) | 0.613083 | − | 1.06189i | 0.0300589 | − | 0.0520635i | ||||
\(417\) | 4.16563i | 0.203992i | ||||||||
\(418\) | −23.5386 | − | 0.252049i | −1.15131 | − | 0.0123281i | ||||
\(419\) | −13.0449 | −0.637287 | −0.318643 | − | 0.947875i | \(-0.603227\pi\) | ||||
−0.318643 | + | 0.947875i | \(0.603227\pi\) | |||||||
\(420\) | 21.1806 | − | 59.7811i | 1.03351 | − | 2.91702i | ||||
\(421\) | −1.66248 | + | 2.87951i | −0.0810246 | + | 0.140339i | −0.903690 | − | 0.428187i | \(-0.859153\pi\) |
0.822666 | + | 0.568525i | \(0.192486\pi\) | |||||||
\(422\) | −29.4718 | + | 17.0156i | −1.43467 | + | 0.828305i | ||||
\(423\) | 2.44958 | + | 1.41426i | 0.119102 | + | 0.0687638i | ||||
\(424\) | 6.53621 | + | 11.3210i | 0.317426 | + | 0.549798i | ||||
\(425\) | −1.19215 | − | 3.10868i | −0.0578276 | − | 0.150793i | ||||
\(426\) | 26.7344 | 1.29528 | ||||||||
\(427\) | −27.5688 | + | 15.9168i | −1.33415 | + | 0.770270i | ||||
\(428\) | −4.54841 | + | 2.62603i | −0.219856 | + | 0.126934i | ||||
\(429\) | 12.9001 | 0.622823 | ||||||||
\(430\) | 2.27110 | − | 0.420541i | 0.109522 | − | 0.0202803i | ||||
\(431\) | −0.0242034 | − | 0.0419216i | −0.00116584 | − | 0.00201929i | 0.865442 | − | 0.501009i | \(-0.167038\pi\) |
−0.866608 | + | 0.498990i | \(0.833704\pi\) | |||||||
\(432\) | −20.2252 | − | 11.6770i | −0.973085 | − | 0.561811i | ||||
\(433\) | 8.28676 | − | 4.78436i | 0.398236 | − | 0.229922i | −0.287486 | − | 0.957785i | \(-0.592820\pi\) |
0.685723 | + | 0.727863i | \(0.259486\pi\) | |||||||
\(434\) | 37.8134 | − | 65.4948i | 1.81510 | − | 3.14385i | ||||
\(435\) | 11.8318 | + | 4.19203i | 0.567291 | + | 0.200992i | ||||
\(436\) | −48.5280 | −2.32407 | ||||||||
\(437\) | 1.08329 | − | 1.83076i | 0.0518209 | − | 0.0875773i | ||||
\(438\) | − | 11.3403i | − | 0.541861i | ||||||
\(439\) | −11.1257 | + | 19.2703i | −0.531002 | + | 0.919723i | 0.468343 | + | 0.883547i | \(0.344851\pi\) |
−0.999345 | + | 0.0361764i | \(0.988482\pi\) | |||||||
\(440\) | −23.1397 | − | 8.19846i | −1.10314 | − | 0.390846i | ||||
\(441\) | 3.74417 | + | 6.48509i | 0.178294 | + | 0.308814i | ||||
\(442\) | −5.32364 | − | 3.07361i | −0.253220 | − | 0.146197i | ||||
\(443\) | −17.4207 | + | 10.0579i | −0.827684 | + | 0.477863i | −0.853059 | − | 0.521815i | \(-0.825255\pi\) |
0.0253753 | + | 0.999678i | \(0.491922\pi\) | |||||||
\(444\) | 18.9605 | 0.899827 | ||||||||
\(445\) | 2.93959 | − | 0.544325i | 0.139350 | − | 0.0258035i | ||||
\(446\) | 26.6449 | + | 46.1504i | 1.26167 | + | 2.18528i | ||||
\(447\) | 24.2883 | − | 14.0229i | 1.14880 | − | 0.663258i | ||||
\(448\) | − | 34.2224i | − | 1.61686i | ||||||
\(449\) | 12.4973 | 0.589783 | 0.294891 | − | 0.955531i | \(-0.404717\pi\) | ||||
0.294891 | + | 0.955531i | \(0.404717\pi\) | |||||||
\(450\) | −4.35408 | + | 5.37326i | −0.205254 | + | 0.253298i | ||||
\(451\) | −0.0796065 | + | 0.137883i | −0.00374852 | + | 0.00649263i | ||||
\(452\) | −27.0548 | + | 15.6201i | −1.27255 | + | 0.734707i | ||||
\(453\) | 17.2156 | + | 9.93945i | 0.808861 | + | 0.466996i | ||||
\(454\) | −10.0659 | + | 17.4346i | −0.472415 | + | 0.818246i | ||||
\(455\) | −37.2305 | + | 6.89399i | −1.74539 | + | 0.323195i | ||||
\(456\) | −0.363798 | + | 33.9746i | −0.0170364 | + | 1.59101i | ||||
\(457\) | − | 28.3179i | − | 1.32465i | −0.749215 | − | 0.662327i | \(-0.769569\pi\) | ||
0.749215 | − | 0.662327i | \(-0.230431\pi\) | |||||||
\(458\) | 35.4422 | + | 20.4626i | 1.65610 | + | 0.956153i | ||||
\(459\) | −1.85190 | + | 3.20759i | −0.0864394 | + | 0.149717i | ||||
\(460\) | 3.34700 | − | 2.85766i | 0.156054 | − | 0.133239i | ||||
\(461\) | −2.65976 | + | 4.60683i | −0.123877 | + | 0.214562i | −0.921293 | − | 0.388868i | \(-0.872866\pi\) |
0.797416 | + | 0.603430i | \(0.206200\pi\) | |||||||
\(462\) | −32.8924 | + | 18.9904i | −1.53029 | + | 0.883515i | ||||
\(463\) | 17.9327i | 0.833401i | 0.909044 | + | 0.416701i | \(0.136814\pi\) | ||||
−0.909044 | + | 0.416701i | \(0.863186\pi\) | |||||||
\(464\) | −15.0988 | −0.700944 | ||||||||
\(465\) | 18.1425 | − | 15.4900i | 0.841338 | − | 0.718333i | ||||
\(466\) | 14.9995 | + | 25.9798i | 0.694836 | + | 1.20349i | ||||
\(467\) | 28.7791i | 1.33174i | 0.746069 | + | 0.665868i | \(0.231939\pi\) | ||||
−0.746069 | + | 0.665868i | \(0.768061\pi\) | |||||||
\(468\) | 8.53593i | 0.394574i | ||||||||
\(469\) | 12.9001 | + | 22.3436i | 0.595672 | + | 1.03173i | ||||
\(470\) | 9.21274 | − | 26.0025i | 0.424952 | − | 1.19941i | ||||
\(471\) | 15.6527 | + | 27.1112i | 0.721237 | + | 1.24922i | ||||
\(472\) | 54.2083 | + | 31.2972i | 2.49514 | + | 1.44057i | ||||
\(473\) | −0.800762 | − | 0.462320i | −0.0368191 | − | 0.0212575i | ||||
\(474\) | −43.4687 | −1.99658 | ||||||||
\(475\) | 21.4872 | + | 3.64671i | 0.985902 | + | 0.167323i | ||||
\(476\) | 12.0988 | 0.554548 | ||||||||
\(477\) | −1.27678 | − | 0.737147i | −0.0584595 | − | 0.0337516i | ||||
\(478\) | −4.33824 | − | 2.50469i | −0.198427 | − | 0.114562i | ||||
\(479\) | −4.02574 | − | 6.97279i | −0.183941 | − | 0.318595i | 0.759278 | − | 0.650766i | \(-0.225552\pi\) |
−0.943219 | + | 0.332171i | \(0.892219\pi\) | |||||||
\(480\) | −0.380304 | + | 1.07339i | −0.0173584 | + | 0.0489933i | ||||
\(481\) | −5.65976 | − | 9.80298i | −0.258063 | − | 0.446978i | ||||
\(482\) | − | 43.0417i | − | 1.96049i | ||||||
\(483\) | − | 3.43226i | − | 0.156173i | ||||||
\(484\) | −12.4330 | − | 21.5347i | −0.565138 | − | 0.978849i | ||||
\(485\) | −7.45928 | + | 6.36872i | −0.338708 | + | 0.289189i | ||||
\(486\) | 14.1712 | 0.642819 | ||||||||
\(487\) | 1.09761i | 0.0497376i | 0.999691 | + | 0.0248688i | \(0.00791680\pi\) | ||||
−0.999691 | + | 0.0248688i | \(0.992083\pi\) | |||||||
\(488\) | 30.5551 | − | 17.6410i | 1.38316 | − | 0.798571i | ||||
\(489\) | −11.1093 | + | 19.2418i | −0.502379 | + | 0.870145i | ||||
\(490\) | 55.5425 | − | 47.4221i | 2.50915 | − | 2.14231i | ||||
\(491\) | −6.55267 | + | 11.3496i | −0.295718 | + | 0.512199i | −0.975152 | − | 0.221538i | \(-0.928892\pi\) |
0.679434 | + | 0.733737i | \(0.262226\pi\) | |||||||
\(492\) | 0.394804 | + | 0.227940i | 0.0177991 | + | 0.0102763i | ||||
\(493\) | 2.39458i | 0.107846i | ||||||||
\(494\) | 35.0621 | − | 19.7456i | 1.57752 | − | 0.888395i | ||||
\(495\) | 2.72235 | − | 0.504099i | 0.122361 | − | 0.0226576i | ||||
\(496\) | −14.3474 | + | 24.8505i | −0.644219 | + | 1.11582i | ||||
\(497\) | 27.2046 | + | 15.7066i | 1.22029 | + | 0.704536i | ||||
\(498\) | −52.1322 | + | 30.0985i | −2.33610 | + | 1.34875i | ||||
\(499\) | 12.0703 | − | 20.9064i | 0.540342 | − | 0.935900i | −0.458542 | − | 0.888673i | \(-0.651628\pi\) |
0.998884 | − | 0.0472275i | \(-0.0150386\pi\) | |||||||
\(500\) | 39.6150 | + | 21.5343i | 1.77163 | + | 0.963042i | ||||
\(501\) | 8.76729 | 0.391694 | ||||||||
\(502\) | 8.19895i | 0.365937i | ||||||||
\(503\) | 16.4214 | − | 9.48090i | 0.732194 | − | 0.422733i | −0.0870300 | − | 0.996206i | \(-0.527738\pi\) |
0.819224 | + | 0.573473i | \(0.194404\pi\) | |||||||
\(504\) | −6.33424 | − | 10.9712i | −0.282150 | − | 0.488697i | ||||
\(505\) | −23.2371 | + | 4.30282i | −1.03404 | + | 0.191473i | ||||
\(506\) | −2.63555 | −0.117165 | ||||||||
\(507\) | −1.52262 | + | 0.879086i | −0.0676220 | + | 0.0390416i | ||||
\(508\) | 13.7482 | + | 7.93753i | 0.609978 | + | 0.352171i | ||||
\(509\) | 10.9803 | + | 19.0184i | 0.486692 | + | 0.842974i | 0.999883 | − | 0.0152997i | \(-0.00487025\pi\) |
−0.513191 | + | 0.858274i | \(0.671537\pi\) | |||||||
\(510\) | 5.38129 | + | 1.90660i | 0.238287 | + | 0.0844257i | ||||
\(511\) | 6.66248 | − | 11.5398i | 0.294731 | − | 0.510489i | ||||
\(512\) | 40.5609i | 1.79255i | ||||||||
\(513\) | −11.8971 | − | 21.1255i | −0.525268 | − | 0.932714i | ||||
\(514\) | −67.7531 | −2.98846 | ||||||||
\(515\) | −12.1322 | − | 4.29846i | −0.534608 | − | 0.189413i | ||||
\(516\) | −1.32378 | + | 2.29285i | −0.0582761 | + | 0.100937i | ||||
\(517\) | −9.56399 | + | 5.52177i | −0.420624 | + | 0.242847i | ||||
\(518\) | 28.8622 | + | 16.6636i | 1.26813 | + | 0.732157i | ||||
\(519\) | −8.34417 | − | 14.4525i | −0.366268 | − | 0.634395i | ||||
\(520\) | 41.2635 | − | 7.64077i | 1.80952 | − | 0.335070i | ||||
\(521\) | 6.56968 | 0.287823 | 0.143912 | − | 0.989591i | \(-0.454032\pi\) | ||||
0.143912 | + | 0.989591i | \(0.454032\pi\) | |||||||
\(522\) | 4.30764 | − | 2.48702i | 0.188540 | − | 0.108854i | ||||
\(523\) | −3.63538 | + | 2.09889i | −0.158964 | + | 0.0917779i | −0.577372 | − | 0.816481i | \(-0.695922\pi\) |
0.418408 | + | 0.908259i | \(0.362588\pi\) | |||||||
\(524\) | 65.8375 | 2.87613 | ||||||||
\(525\) | 32.8332 | − | 12.5912i | 1.43296 | − | 0.549524i | ||||
\(526\) | −16.7344 | − | 28.9848i | −0.729653 | − | 1.26380i | ||||
\(527\) | 3.94113 | + | 2.27541i | 0.171678 | + | 0.0991186i | ||||
\(528\) | 12.4803 | − | 7.20549i | 0.543134 | − | 0.313579i | ||||
\(529\) | −11.3809 | + | 19.7123i | −0.494822 | + | 0.857058i | ||||
\(530\) | −4.80189 | + | 13.5531i | −0.208581 | + | 0.588709i | ||||
\(531\) | −7.05933 | −0.306349 | ||||||||
\(532\) | −40.3316 | + | 68.1603i | −1.74860 | + | 2.95513i | ||||
\(533\) | − | 0.272162i | − | 0.0117887i | ||||||
\(534\) | −2.56314 | + | 4.43949i | −0.110918 | + | 0.192115i | ||||
\(535\) | −2.74482 | − | 0.972497i | −0.118669 | − | 0.0420447i | ||||
\(536\) | −14.2975 | − | 24.7640i | −0.617558 | − | 1.06964i | ||||
\(537\) | 10.3954 | + | 6.00176i | 0.448593 | + | 0.258995i | ||||
\(538\) | −7.67486 | + | 4.43108i | −0.330887 | + | 0.191038i | ||||
\(539\) | −29.2371 | −1.25933 | ||||||||
\(540\) | −9.13282 | − | 49.3212i | −0.393014 | − | 2.12245i | ||||
\(541\) | 2.31505 | + | 4.00978i | 0.0995316 | + | 0.172394i | 0.911491 | − | 0.411320i | \(-0.134932\pi\) |
−0.811959 | + | 0.583714i | \(0.801599\pi\) | |||||||
\(542\) | −22.4692 | + | 12.9726i | −0.965136 | + | 0.557221i | ||||
\(543\) | − | 9.56340i | − | 0.410405i | ||||||
\(544\) | −0.217238 | −0.00931400 | ||||||||
\(545\) | −17.4710 | − | 20.4627i | −0.748376 | − | 0.876525i | ||||
\(546\) | 32.4627 | − | 56.2271i | 1.38928 | − | 2.40630i | ||||
\(547\) | −32.9435 | + | 19.0199i | −1.40856 | + | 0.813233i | −0.995250 | − | 0.0973563i | \(-0.968961\pi\) |
−0.413312 | + | 0.910590i | \(0.635628\pi\) | |||||||
\(548\) | 57.3858 | + | 33.1317i | 2.45140 | + | 1.41532i | ||||
\(549\) | −1.98953 | + | 3.44597i | −0.0849113 | + | 0.147071i | ||||
\(550\) | −9.66849 | − | 25.2118i | −0.412266 | − | 1.07504i | ||||
\(551\) | −13.4902 | − | 7.98236i | −0.574701 | − | 0.340060i | ||||
\(552\) | 3.80405i | 0.161911i | ||||||||
\(553\) | −44.2333 | − | 25.5381i | −1.88099 | − | 1.08599i | ||||
\(554\) | 8.27110 | − | 14.3260i | 0.351406 | − | 0.608652i | ||||
\(555\) | 6.82615 | + | 7.99503i | 0.289754 | + | 0.339370i | ||||
\(556\) | 5.38092 | − | 9.32002i | 0.228202 | − | 0.395257i | ||||
\(557\) | 31.5498 | − | 18.2153i | 1.33681 | − | 0.771807i | 0.350476 | − | 0.936572i | \(-0.386020\pi\) |
0.986333 | + | 0.164765i | \(0.0526866\pi\) | |||||||
\(558\) | − | 9.45302i | − | 0.400178i | ||||||
\(559\) | 1.58060 | 0.0668523 | ||||||||
\(560\) | −32.1682 | + | 27.4651i | −1.35935 | + | 1.16061i | ||||
\(561\) | −1.14275 | − | 1.97929i | −0.0482468 | − | 0.0835659i | ||||
\(562\) | − | 57.5496i | − | 2.42758i | ||||||
\(563\) | − | 20.6856i | − | 0.871795i | −0.899996 | − | 0.435897i | \(-0.856431\pi\) | ||
0.899996 | − | 0.435897i | \(-0.143569\pi\) | |||||||
\(564\) | 15.8107 | + | 27.3849i | 0.665750 | + | 1.15311i | ||||
\(565\) | −16.3267 | − | 5.78459i | −0.686870 | − | 0.243359i | ||||
\(566\) | −18.0324 | − | 31.2330i | −0.757958 | − | 1.31282i | ||||
\(567\) | −27.2862 | − | 15.7537i | −1.14591 | − | 0.661594i | ||||
\(568\) | −30.1515 | − | 17.4080i | −1.26513 | − | 0.730422i | ||||
\(569\) | 27.1132 | 1.13664 | 0.568322 | − | 0.822806i | \(-0.307593\pi\) | ||||
0.568322 | + | 0.822806i | \(0.307593\pi\) | |||||||
\(570\) | −28.6797 | + | 23.9606i | −1.20126 | + | 1.00360i | ||||
\(571\) | 46.4687 | 1.94466 | 0.972328 | − | 0.233622i | \(-0.0750578\pi\) | ||||
0.972328 | + | 0.233622i | \(0.0750578\pi\) | |||||||
\(572\) | −28.8622 | − | 16.6636i | −1.20679 | − | 0.696741i | ||||
\(573\) | −7.91564 | − | 4.57009i | −0.330680 | − | 0.190918i | ||||
\(574\) | 0.400654 | + | 0.693954i | 0.0167230 | + | 0.0289651i | ||||
\(575\) | 2.40996 | + | 0.382507i | 0.100502 | + | 0.0159516i | ||||
\(576\) | −2.13882 | − | 3.70455i | −0.0891177 | − | 0.154356i | ||||
\(577\) | 18.0398i | 0.751008i | 0.926821 | + | 0.375504i | \(0.122530\pi\) | ||||
−0.926821 | + | 0.375504i | \(0.877470\pi\) | |||||||
\(578\) | − | 40.6664i | − | 1.69150i | ||||||
\(579\) | 2.02247 | + | 3.50302i | 0.0840509 | + | 0.145580i | ||||
\(580\) | −21.0570 | − | 24.6627i | −0.874344 | − | 1.02406i | ||||
\(581\) | −70.7322 | −2.93447 | ||||||||
\(582\) | − | 16.8184i | − | 0.697147i | ||||||
\(583\) | 4.98497 | − | 2.87808i | 0.206457 | − | 0.119198i | ||||
\(584\) | −7.38419 | + | 12.7898i | −0.305560 | + | 0.529245i | ||||
\(585\) | −3.59932 | + | 3.07310i | −0.148814 | + | 0.127057i | ||||
\(586\) | −22.3337 | + | 38.6831i | −0.922597 | + | 1.59798i | ||||
\(587\) | −22.5458 | − | 13.0168i | −0.930565 | − | 0.537262i | −0.0435750 | − | 0.999050i | \(-0.513875\pi\) |
−0.886990 | + | 0.461788i | \(0.847208\pi\) | |||||||
\(588\) | 83.7156i | 3.45237i | ||||||||
\(589\) | −25.9567 | + | 14.6178i | −1.06953 | + | 0.602316i | ||||
\(590\) | 12.5357 | + | 67.6980i | 0.516085 | + | 2.78708i | ||||
\(591\) | 15.5034 | − | 26.8526i | 0.637724 | − | 1.10457i | ||||
\(592\) | −10.9511 | − | 6.32263i | −0.450088 | − | 0.259858i | ||||
\(593\) | 15.7236 | − | 9.07803i | 0.645691 | − | 0.372790i | −0.141112 | − | 0.989994i | \(-0.545068\pi\) |
0.786804 | + | 0.617203i | \(0.211734\pi\) | |||||||
\(594\) | −15.0192 | + | 26.0140i | −0.616245 | + | 1.06737i | ||||
\(595\) | 4.35580 | + | 5.10167i | 0.178570 | + | 0.209148i | ||||
\(596\) | −72.4556 | −2.96790 | ||||||||
\(597\) | 19.9218i | 0.815345i | ||||||||
\(598\) | 3.90168 | − | 2.25264i | 0.159552 | − | 0.0921172i | ||||
\(599\) | 20.0357 | + | 34.7028i | 0.818635 | + | 1.41792i | 0.906688 | + | 0.421802i | \(0.138602\pi\) |
−0.0880531 | + | 0.996116i | \(0.528065\pi\) | |||||||
\(600\) | −36.3898 | + | 13.9551i | −1.48561 | + | 0.569715i | ||||
\(601\) | 15.0473 | 0.613793 | 0.306897 | − | 0.951743i | \(-0.400709\pi\) | ||||
0.306897 | + | 0.951743i | \(0.400709\pi\) | |||||||
\(602\) | −4.03018 | + | 2.32683i | −0.164258 | + | 0.0948344i | ||||
\(603\) | 2.79286 | + | 1.61246i | 0.113734 | + | 0.0656643i | ||||
\(604\) | −25.6784 | − | 44.4763i | −1.04484 | − | 1.80972i | ||||
\(605\) | 4.60433 | − | 12.9955i | 0.187193 | − | 0.528342i | ||||
\(606\) | 20.2613 | − | 35.0936i | 0.823059 | − | 1.42558i | ||||
\(607\) | − | 29.3860i | − | 1.19274i | −0.802709 | − | 0.596370i | \(-0.796609\pi\) | ||
0.802709 | − | 0.596370i | \(-0.203391\pi\) | |||||||
\(608\) | 0.724166 | − | 1.22384i | 0.0293688 | − | 0.0496333i | ||||
\(609\) | −25.2910 | −1.02484 | ||||||||
\(610\) | 36.5794 | + | 12.9602i | 1.48106 | + | 0.524741i | ||||
\(611\) | 9.43905 | − | 16.3489i | 0.381863 | − | 0.661406i | ||||
\(612\) | 1.30969 | − | 0.756148i | 0.0529410 | − | 0.0305655i | ||||
\(613\) | −30.0578 | − | 17.3539i | −1.21402 | − | 0.700917i | −0.250390 | − | 0.968145i | \(-0.580559\pi\) |
−0.963633 | + | 0.267229i | \(0.913892\pi\) | |||||||
\(614\) | −36.0818 | − | 62.4955i | −1.45614 | − | 2.52211i | ||||
\(615\) | 0.0460220 | + | 0.248539i | 0.00185579 | + | 0.0100220i | ||||
\(616\) | 49.4622 | 1.99289 | ||||||||
\(617\) | 9.29031 | − | 5.36376i | 0.374014 | − | 0.215937i | −0.301197 | − | 0.953562i | \(-0.597386\pi\) |
0.675210 | + | 0.737625i | \(0.264053\pi\) | |||||||
\(618\) | 19.1136 | − | 11.0352i | 0.768862 | − | 0.443903i | ||||
\(619\) | 36.1437 | 1.45274 | 0.726370 | − | 0.687304i | \(-0.241206\pi\) | ||||
0.726370 | + | 0.687304i | \(0.241206\pi\) | |||||||
\(620\) | −60.6004 | + | 11.2214i | −2.43377 | + | 0.450663i | ||||
\(621\) | −1.35725 | − | 2.35083i | −0.0544647 | − | 0.0943357i | ||||
\(622\) | −0.411031 | − | 0.237309i | −0.0164808 | − | 0.00951521i | ||||
\(623\) | −5.21644 | + | 3.01171i | −0.208992 | + | 0.120662i | ||||
\(624\) | −12.3172 | + | 21.3341i | −0.493084 | + | 0.854046i | ||||
\(625\) | 5.18184 | + | 24.4571i | 0.207274 | + | 0.978283i | ||||
\(626\) | 52.2569 | 2.08861 | ||||||||
\(627\) | 14.9600 | + | 0.160191i | 0.597445 | + | 0.00639739i | ||||
\(628\) | − | 80.8768i | − | 3.22734i | ||||||
\(629\) | −1.00273 | + | 1.73678i | −0.0399814 | + | 0.0692499i | ||||
\(630\) | 4.65352 | − | 13.1343i | 0.185401 | − | 0.523284i | ||||
\(631\) | 15.7882 | + | 27.3460i | 0.628519 | + | 1.08863i | 0.987849 | + | 0.155417i | \(0.0496720\pi\) |
−0.359330 | + | 0.933211i | \(0.616995\pi\) | |||||||
\(632\) | 49.0248 | + | 28.3045i | 1.95010 | + | 1.12589i | ||||
\(633\) | 18.7309 | − | 10.8143i | 0.744485 | − | 0.429829i | ||||
\(634\) | 47.0857 | 1.87001 | ||||||||
\(635\) | 1.60262 | + | 8.65483i | 0.0635979 | + | 0.343456i | ||||
\(636\) | −8.24090 | − | 14.2737i | −0.326773 | − | 0.565987i | ||||
\(637\) | 43.2827 | − | 24.9893i | 1.71492 | − | 0.990111i | ||||
\(638\) | 19.4204i | 0.768859i | ||||||||
\(639\) | 3.92650 | 0.155330 | ||||||||
\(640\) | −32.8377 | + | 28.0368i | −1.29802 | + | 1.10825i | ||||
\(641\) | −9.91331 | + | 17.1704i | −0.391552 | + | 0.678188i | −0.992654 | − | 0.120984i | \(-0.961395\pi\) |
0.601102 | + | 0.799172i | \(0.294728\pi\) | |||||||
\(642\) | 4.32432 | − | 2.49665i | 0.170667 | − | 0.0985349i | ||||
\(643\) | 11.6540 | + | 6.72843i | 0.459588 | + | 0.265343i | 0.711871 | − | 0.702310i | \(-0.247848\pi\) |
−0.252283 | + | 0.967654i | \(0.581181\pi\) | |||||||
\(644\) | −4.43359 | + | 7.67920i | −0.174708 | + | 0.302603i | ||||
\(645\) | −1.44340 | + | 0.267276i | −0.0568340 | + | 0.0105240i | ||||
\(646\) | −6.13555 | − | 3.63051i | −0.241400 | − | 0.142840i | ||||
\(647\) | 4.19511i | 0.164927i | 0.996594 | + | 0.0824634i | \(0.0262787\pi\) | ||||
−0.996594 | + | 0.0824634i | \(0.973721\pi\) | |||||||
\(648\) | 30.2420 | + | 17.4602i | 1.18802 | + | 0.685902i | ||||
\(649\) | 13.7810 | − | 23.8694i | 0.540953 | − | 0.936957i | ||||
\(650\) | 35.8621 | + | 29.0600i | 1.40663 | + | 1.13983i | ||||
\(651\) | −24.0324 | + | 41.6253i | −0.941904 | + | 1.63143i | ||||
\(652\) | 49.7109 | − | 28.7006i | 1.94683 | − | 1.12400i | ||||
\(653\) | 12.1680i | 0.476170i | 0.971244 | + | 0.238085i | \(0.0765196\pi\) | ||||
−0.971244 | + | 0.238085i | \(0.923480\pi\) | |||||||
\(654\) | 46.1372 | 1.80411 | ||||||||
\(655\) | 23.7028 | + | 27.7615i | 0.926143 | + | 1.08473i | ||||
\(656\) | −0.152019 | − | 0.263305i | −0.00593535 | − | 0.0102803i | ||||
\(657\) | − | 1.66556i | − | 0.0649798i | ||||||
\(658\) | 55.5814i | 2.16679i | ||||||||
\(659\) | 4.12236 | + | 7.14013i | 0.160584 | + | 0.278140i | 0.935078 | − | 0.354441i | \(-0.115329\pi\) |
−0.774494 | + | 0.632581i | \(0.781996\pi\) | |||||||
\(660\) | 29.1748 | + | 10.3367i | 1.13563 | + | 0.402355i | ||||
\(661\) | −10.5599 | − | 18.2902i | −0.410731 | − | 0.711407i | 0.584239 | − | 0.811582i | \(-0.301393\pi\) |
−0.994970 | + | 0.100175i | \(0.968060\pi\) | |||||||
\(662\) | −43.8338 | − | 25.3075i | −1.70365 | − | 0.983603i | ||||
\(663\) | 3.38345 | + | 1.95344i | 0.131402 | + | 0.0758652i | ||||
\(664\) | 78.3941 | 3.04228 | ||||||||
\(665\) | −43.2611 | + | 7.53250i | −1.67759 | + | 0.292098i | ||||
\(666\) | 4.16576 | 0.161420 | ||||||||
\(667\) | −1.51986 | − | 0.877489i | −0.0588490 | − | 0.0339765i | ||||
\(668\) | −19.6156 | − | 11.3251i | −0.758951 | − | 0.438180i | ||||
\(669\) | −16.9342 | − | 29.3310i | −0.654716 | − | 1.13400i | ||||
\(670\) | 10.5038 | − | 29.6465i | 0.405798 | − | 1.14534i | ||||
\(671\) | −7.76783 | − | 13.4543i | −0.299874 | − | 0.519397i | ||||
\(672\) | − | 2.29442i | − | 0.0885090i | ||||||
\(673\) | 30.2802i | 1.16722i | 0.812036 | + | 0.583608i | \(0.198359\pi\) | ||||
−0.812036 | + | 0.583608i | \(0.801641\pi\) | |||||||
\(674\) | 12.5357 | + | 21.7124i | 0.482856 | + | 0.836331i | ||||
\(675\) | 17.5091 | − | 21.6076i | 0.673927 | − | 0.831676i | ||||
\(676\) | 4.54221 | 0.174700 | ||||||||
\(677\) | 49.9003i | 1.91783i | 0.283701 | + | 0.958913i | \(0.408438\pi\) | ||||
−0.283701 | + | 0.958913i | \(0.591562\pi\) | |||||||
\(678\) | 25.7219 | − | 14.8505i | 0.987842 | − | 0.570331i | ||||
\(679\) | 9.88092 | − | 17.1142i | 0.379195 | − | 0.656785i | ||||
\(680\) | −4.82763 | − | 5.65430i | −0.185131 | − | 0.216832i | ||||
\(681\) | 6.39738 | − | 11.0806i | 0.245148 | − | 0.424609i | ||||
\(682\) | 31.9632 | + | 18.4539i | 1.22393 | + | 0.706638i | ||||
\(683\) | − | 3.11357i | − | 0.119137i | −0.998224 | − | 0.0595687i | \(-0.981027\pi\) | ||
0.998224 | − | 0.0595687i | \(-0.0189725\pi\) | |||||||
\(684\) | −0.105997 | + | 9.89894i | −0.00405290 | + | 0.378496i | ||||
\(685\) | 6.68942 | + | 36.1258i | 0.255590 | + | 1.38029i | ||||
\(686\) | −34.8436 | + | 60.3509i | −1.33034 | + | 2.30421i | ||||
\(687\) | −22.5254 | − | 13.0050i | −0.859396 | − | 0.496172i | ||||
\(688\) | 1.52916 | − | 0.882861i | 0.0582987 | − | 0.0336588i | ||||
\(689\) | −4.91985 | + | 8.52143i | −0.187431 | + | 0.324641i | ||||
\(690\) | −3.18210 | + | 2.71687i | −0.121140 | + | 0.103430i | ||||
\(691\) | −30.2831 | −1.15202 | −0.576012 | − | 0.817441i | \(-0.695392\pi\) | ||||
−0.576012 | + | 0.817441i | \(0.695392\pi\) | |||||||
\(692\) | 43.1140i | 1.63895i | ||||||||
\(693\) | −4.83094 | + | 2.78915i | −0.183512 | + | 0.105951i | ||||
\(694\) | −6.68222 | − | 11.5740i | −0.253654 | − | 0.439341i | ||||
\(695\) | 5.86718 | − | 1.08643i | 0.222555 | − | 0.0412105i | ||||
\(696\) | 28.0305 | 1.06250 | ||||||||
\(697\) | −0.0417585 | + | 0.0241093i | −0.00158172 | + | 0.000913204i | ||||
\(698\) | 3.29948 | + | 1.90495i | 0.124887 | + | 0.0721035i | ||||
\(699\) | −9.53293 | − | 16.5115i | −0.360569 | − | 0.624523i | ||||
\(700\) | −89.7243 | − | 14.2409i | −3.39126 | − | 0.538257i | ||||
\(701\) | −22.2849 | + | 38.5987i | −0.841691 | + | 1.45785i | 0.0467733 | + | 0.998906i | \(0.485106\pi\) |
−0.888464 | + | 0.458946i | \(0.848227\pi\) | |||||||
\(702\) | − | 51.3483i | − | 1.93802i | ||||||
\(703\) | −6.44177 | − | 11.4386i | −0.242956 | − | 0.431415i | ||||
\(704\) | 16.7014 | 0.629458 | ||||||||
\(705\) | −5.85518 | + | 16.5259i | −0.220519 | + | 0.622403i | ||||
\(706\) | −40.4457 | + | 70.0540i | −1.52219 | + | 2.63652i | ||||
\(707\) | 41.2353 | − | 23.8072i | 1.55081 | − | 0.895363i | ||||
\(708\) | −68.3462 | − | 39.4597i | −2.56861 | − | 1.48299i | ||||
\(709\) | 4.67176 | + | 8.09172i | 0.175452 | + | 0.303891i | 0.940317 | − | 0.340299i | \(-0.110528\pi\) |
−0.764866 | + | 0.644190i | \(0.777195\pi\) | |||||||
\(710\) | −6.97252 | − | 37.6546i | −0.261674 | − | 1.41315i | ||||
\(711\) | −6.38429 | −0.239430 | ||||||||
\(712\) | 5.78150 | − | 3.33795i | 0.216671 | − | 0.125095i | ||||
\(713\) | −2.88844 | + | 1.66764i | −0.108173 | + | 0.0624538i | ||||
\(714\) | −11.5027 | −0.430479 | ||||||||
\(715\) | −3.36445 | − | 18.1695i | −0.125823 | − | 0.679500i | ||||
\(716\) | −15.5055 | − | 26.8562i | −0.579466 | − | 1.00366i | ||||
\(717\) | 2.75718 | + | 1.59186i | 0.102969 | + | 0.0594490i | ||||
\(718\) | −7.43916 | + | 4.29500i | −0.277627 | + | 0.160288i | ||||
\(719\) | 12.6987 | − | 21.9948i | 0.473581 | − | 0.820267i | −0.525961 | − | 0.850508i | \(-0.676294\pi\) |
0.999543 | + | 0.0302417i | \(0.00962768\pi\) | |||||||
\(720\) | −1.76567 | + | 4.98352i | −0.0658027 | + | 0.185725i | ||||
\(721\) | 25.9330 | 0.965797 | ||||||||
\(722\) | 40.9059 | − | 22.4631i | 1.52236 | − | 0.835992i | ||||
\(723\) | 27.3552i | 1.01735i | ||||||||
\(724\) | −12.3534 | + | 21.3968i | −0.459112 | + | 0.795205i | ||||
\(725\) | 2.81854 | − | 17.7581i | 0.104678 | − | 0.659519i | ||||
\(726\) | 11.8205 | + | 20.4737i | 0.438700 | + | 0.759851i | ||||
\(727\) | 27.2259 | + | 15.7189i | 1.00975 | + | 0.582980i | 0.911119 | − | 0.412143i | \(-0.135220\pi\) |
0.0986328 | + | 0.995124i | \(0.468553\pi\) | |||||||
\(728\) | −73.2240 | + | 42.2759i | −2.71386 | + | 1.56685i | ||||
\(729\) | −29.9869 | −1.11063 | ||||||||
\(730\) | −15.9725 | + | 2.95764i | −0.591170 | + | 0.109467i | ||||
\(731\) | −0.140016 | − | 0.242515i | −0.00517869 | − | 0.00896975i | ||||
\(732\) | −38.5241 | + | 22.2419i | −1.42389 | + | 0.822085i | ||||
\(733\) | 25.3946i | 0.937971i | 0.883206 | + | 0.468985i | \(0.155380\pi\) | ||||
−0.883206 | + | 0.468985i | \(0.844620\pi\) | |||||||
\(734\) | 47.9056 | 1.76823 | ||||||||
\(735\) | −35.3001 | + | 30.1392i | −1.30206 | + | 1.11170i | ||||
\(736\) | 0.0796065 | − | 0.137883i | 0.00293434 | − | 0.00508242i | ||||
\(737\) | −10.9043 | + | 6.29559i | −0.401664 | + | 0.231901i | ||||
\(738\) | 0.0867411 | + | 0.0500800i | 0.00319299 | + | 0.00184347i | ||||
\(739\) | 17.7541 | − | 30.7510i | 0.653095 | − | 1.13119i | −0.329273 | − | 0.944235i | \(-0.606804\pi\) |
0.982368 | − | 0.186959i | \(-0.0598631\pi\) | |||||||
\(740\) | −4.94505 | − | 26.7054i | −0.181784 | − | 0.981710i | ||||
\(741\) | −22.2838 | + | 12.5493i | −0.818614 | + | 0.461011i | ||||
\(742\) | − | 28.9703i | − | 1.06353i | ||||||
\(743\) | 14.8176 | + | 8.55493i | 0.543604 | + | 0.313850i | 0.746538 | − | 0.665342i | \(-0.231714\pi\) |
−0.202934 | + | 0.979192i | \(0.565048\pi\) | |||||||
\(744\) | 26.6357 | − | 46.1343i | 0.976511 | − | 1.69137i | ||||
\(745\) | −26.0854 | − | 30.5522i | −0.955695 | − | 1.11934i | ||||
\(746\) | 28.8798 | − | 50.0213i | 1.05737 | − | 1.83141i | ||||
\(747\) | −7.65671 | + | 4.42060i | −0.280144 | + | 0.161741i | ||||
\(748\) | 5.90453i | 0.215891i | ||||||||
\(749\) | 5.86718 | 0.214382 | ||||||||
\(750\) | −37.6632 | − | 20.4733i | −1.37527 | − | 0.747581i | ||||
\(751\) | 3.72562 | + | 6.45297i | 0.135950 | + | 0.235472i | 0.925960 | − | 0.377622i | \(-0.123258\pi\) |
−0.790010 | + | 0.613094i | \(0.789925\pi\) | |||||||
\(752\) | − | 21.0891i | − | 0.769041i | ||||||
\(753\) | − | 5.21086i | − | 0.189894i | ||||||
\(754\) | −16.5988 | − | 28.7500i | −0.604493 | − | 1.04701i | ||||
\(755\) | 9.50949 | − | 26.8401i | 0.346086 | − | 0.976810i | ||||
\(756\) | 50.5313 | + | 87.5228i | 1.83781 | + | 3.18317i | ||||
\(757\) | −46.5640 | − | 26.8838i | −1.69240 | − | 0.977107i | −0.952574 | − | 0.304306i | \(-0.901575\pi\) |
−0.739824 | − | 0.672801i | \(-0.765091\pi\) | |||||||
\(758\) | 14.9994 | + | 8.65994i | 0.544804 | + | 0.314543i | ||||
\(759\) | 1.67503 | 0.0607997 | ||||||||
\(760\) | 47.9473 | − | 8.34845i | 1.73923 | − | 0.302830i | ||||
\(761\) | 23.3939 | 0.848029 | 0.424014 | − | 0.905655i | \(-0.360621\pi\) | ||||
0.424014 | + | 0.905655i | \(0.360621\pi\) | |||||||
\(762\) | −13.0709 | − | 7.54647i | −0.473508 | − | 0.273380i | ||||
\(763\) | 46.9487 | + | 27.1058i | 1.69966 | + | 0.981297i | ||||
\(764\) | 11.8068 | + | 20.4499i | 0.427154 | + | 0.739852i | ||||
\(765\) | 0.790355 | + | 0.280025i | 0.0285754 | + | 0.0101243i | ||||
\(766\) | 3.78757 | + | 6.56027i | 0.136851 | + | 0.237032i | ||||
\(767\) | 47.1152i | 1.70123i | ||||||||
\(768\) | − | 50.3235i | − | 1.81589i | ||||||
\(769\) | −6.62236 | − | 11.4703i | −0.238808 | − | 0.413628i | 0.721564 | − | 0.692347i | \(-0.243423\pi\) |
−0.960373 | + | 0.278719i | \(0.910090\pi\) | |||||||
\(770\) | 35.3261 | + | 41.3753i | 1.27307 | + | 1.49106i | ||||
\(771\) | 43.0606 | 1.55079 | ||||||||
\(772\) | − | 10.4500i | − | 0.376105i | ||||||
\(773\) | 15.4198 | − | 8.90262i | 0.554611 | − | 0.320205i | −0.196369 | − | 0.980530i | \(-0.562915\pi\) |
0.750980 | + | 0.660325i | \(0.229582\pi\) | |||||||
\(774\) | −0.290843 | + | 0.503755i | −0.0104541 | + | 0.0181071i | ||||
\(775\) | −26.5490 | − | 21.5133i | −0.953668 | − | 0.772781i | ||||
\(776\) | −10.9512 | + | 18.9681i | −0.393127 | + | 0.680916i | ||||
\(777\) | −18.3434 | − | 10.5906i | −0.658068 | − | 0.379935i | ||||
\(778\) | 23.0658i | 0.826949i | ||||||||
\(779\) | 0.00337965 | − | 0.315621i | 0.000121088 | − | 0.0113083i | ||||
\(780\) | −52.0253 | + | 9.63354i | −1.86280 | + | 0.344936i | ||||
\(781\) | −7.66521 | + | 13.2765i | −0.274283 | + | 0.475072i | ||||
\(782\) | −0.691255 | − | 0.399096i | −0.0247192 | − | 0.0142716i | ||||
\(783\) | −17.3224 | + | 10.0011i | −0.619051 | + | 0.357409i | ||||
\(784\) | 27.9160 | − | 48.3520i | 0.997001 | − | 1.72686i | ||||
\(785\) | 34.1031 | − | 29.1172i | 1.21719 | − | 1.03924i | ||||
\(786\) | −62.5939 | −2.23265 | ||||||||
\(787\) | − | 43.5779i | − | 1.55339i | −0.629880 | − | 0.776693i | \(-0.716896\pi\) | ||
0.629880 | − | 0.776693i | \(-0.283104\pi\) | |||||||
\(788\) | −69.3734 | + | 40.0527i | −2.47132 | + | 1.42682i | ||||
\(789\) | 10.6356 | + | 18.4213i | 0.378636 | + | 0.655816i | ||||
\(790\) | 11.3370 | + | 61.2246i | 0.403351 | + | 2.17827i | ||||
\(791\) | 34.8990 | 1.24087 | ||||||||
\(792\) | 5.35425 | − | 3.09128i | 0.190255 | − | 0.109844i | ||||
\(793\) | 22.9991 | + | 13.2785i | 0.816721 | + | 0.471534i | ||||
\(794\) | 32.8634 | + | 56.9210i | 1.16628 | + | 2.02005i | ||||
\(795\) | 3.05185 | − | 8.61370i | 0.108238 | − | 0.305497i | ||||
\(796\) | 25.7338 | − | 44.5723i | 0.912111 | − | 1.57982i | ||||
\(797\) | − | 16.1311i | − | 0.571395i | −0.958320 | − | 0.285697i | \(-0.907775\pi\) | ||
0.958320 | − | 0.285697i | \(-0.0922252\pi\) | |||||||
\(798\) | 38.3446 | − | 64.8023i | 1.35738 | − | 2.29398i | ||||
\(799\) | −3.34460 | −0.118323 | ||||||||
\(800\) | 1.61103 | + | 0.255700i | 0.0569584 | + | 0.00904038i | ||||
\(801\) | −0.376451 | + | 0.652032i | −0.0133012 | + | 0.0230384i | ||||
\(802\) | 53.5403 | − | 30.9115i | 1.89057 | − | 1.09152i | ||||
\(803\) | 5.63170 | + | 3.25147i | 0.198739 | + | 0.114742i | ||||
\(804\) | 18.0264 | + | 31.2226i | 0.635742 | + | 1.10114i | ||||
\(805\) | −4.83424 | + | 0.895159i | −0.170385 | + | 0.0315502i | ||||
\(806\) | −63.0912 | −2.22229 | ||||||||
\(807\) | 4.87777 | − | 2.81618i | 0.171706 | − | 0.0991344i | ||||
\(808\) | −45.7021 | + | 26.3861i | −1.60779 | + | 0.928259i | ||||
\(809\) | −28.7134 | −1.00951 | −0.504755 | − | 0.863263i | \(-0.668417\pi\) | ||||
−0.504755 | + | 0.863263i | \(0.668417\pi\) | |||||||
\(810\) | 6.99346 | + | 37.7677i | 0.245725 | + | 1.32702i | ||||
\(811\) | −10.7711 | − | 18.6561i | −0.378225 | − | 0.655104i | 0.612579 | − | 0.790409i | \(-0.290132\pi\) |
−0.990804 | + | 0.135305i | \(0.956799\pi\) | |||||||
\(812\) | 56.5850 | + | 32.6694i | 1.98575 | + | 1.14647i | ||||
\(813\) | 14.2804 | − | 8.24477i | 0.500834 | − | 0.289157i | ||||
\(814\) | −8.13228 | + | 14.0855i | −0.285036 | + | 0.493697i | ||||
\(815\) | 29.9990 | + | 10.6287i | 1.05082 | + | 0.372307i | ||||
\(816\) | 4.36445 | 0.152786 | ||||||||
\(817\) | 1.83299 | + | 0.0196275i | 0.0641282 | + | 0.000686680i | ||||
\(818\) | − | 69.5634i | − | 2.43223i | ||||||
\(819\) | 4.76783 | − | 8.25813i | 0.166602 | − | 0.288562i | ||||
\(820\) | 0.218080 | − | 0.615520i | 0.00761568 | − | 0.0214949i | ||||
\(821\) | −16.6602 | − | 28.8563i | −0.581445 | − | 1.00709i | −0.995308 | − | 0.0967536i | \(-0.969154\pi\) |
0.413863 | − | 0.910339i | \(-0.364179\pi\) | |||||||
\(822\) | −54.5586 | − | 31.4994i | −1.90295 | − | 1.09867i | ||||
\(823\) | −32.2499 | + | 18.6195i | −1.12416 | + | 0.649035i | −0.942460 | − | 0.334319i | \(-0.891494\pi\) |
−0.181701 | + | 0.983354i | \(0.558160\pi\) | |||||||
\(824\) | −28.7422 | −1.00128 | ||||||||
\(825\) | 6.14483 | + | 16.0234i | 0.213935 | + | 0.557864i | ||||
\(826\) | −69.3590 | − | 120.133i | −2.41331 | − | 4.17997i | ||||
\(827\) | 25.1591 | − | 14.5256i | 0.874868 | − | 0.505105i | 0.00590503 | − | 0.999983i | \(-0.498120\pi\) |
0.868963 | + | 0.494877i | \(0.164787\pi\) | |||||||
\(828\) | 1.10836i | 0.0385181i | ||||||||
\(829\) | −34.5380 | −1.19956 | −0.599778 | − | 0.800166i | \(-0.704744\pi\) | ||||
−0.599778 | + | 0.800166i | \(0.704744\pi\) | |||||||
\(830\) | 55.9895 | + | 65.5769i | 1.94342 | + | 2.27621i | ||||
\(831\) | −5.25672 | + | 9.10490i | −0.182353 | + | 0.315845i | ||||
\(832\) | −24.7249 | + | 14.2749i | −0.857180 | + | 0.494893i | ||||
\(833\) | −7.66832 | − | 4.42731i | −0.265692 | − | 0.153397i | ||||
\(834\) | −5.11581 | + | 8.86085i | −0.177146 | + | 0.306826i | ||||
\(835\) | −2.28658 | − | 12.3485i | −0.0791302 | − | 0.427338i | ||||
\(836\) | −33.2640 | − | 19.6829i | −1.15046 | − | 0.680746i | ||||
\(837\) | 38.0136i | 1.31394i | ||||||||
\(838\) | −27.7483 | − | 16.0205i | −0.958550 | − | 0.553419i | ||||
\(839\) | −22.3622 | + | 38.7324i | −0.772028 | + | 1.33719i | 0.164422 | + | 0.986390i | \(0.447424\pi\) |
−0.936450 | + | 0.350801i | \(0.885909\pi\) | |||||||
\(840\) | 59.7194 | − | 50.9883i | 2.06051 | − | 1.75926i | ||||
\(841\) | 8.03413 | − | 13.9155i | 0.277039 | − | 0.479845i | ||||
\(842\) | −7.07266 | + | 4.08340i | −0.243740 | + | 0.140723i | ||||
\(843\) | 36.5758i | 1.25974i | ||||||||
\(844\) | −55.8770 | −1.92337 | ||||||||
\(845\) | 1.63528 | + | 1.91530i | 0.0562554 | + | 0.0658883i | ||||
\(846\) | 3.47372 | + | 6.01665i | 0.119429 | + | 0.206857i | ||||
\(847\) | 27.7784i | 0.954478i | ||||||||
\(848\) | 10.9921i | 0.377471i | ||||||||
\(849\) | 11.4605 | + | 19.8502i | 0.393324 | + | 0.681257i | ||||
\(850\) | 1.28192 | − | 8.07666i | 0.0439694 | − | 0.277027i | ||||
\(851\) | −0.734898 | − | 1.27288i | −0.0251920 | − | 0.0436338i | ||||
\(852\) | 38.0152 | + | 21.9481i | 1.30238 | + | 0.751929i | ||||
\(853\) | 14.0818 | + | 8.13013i | 0.482152 | + | 0.278370i | 0.721313 | − | 0.692610i | \(-0.243539\pi\) |
−0.239161 | + | 0.970980i | \(0.576872\pi\) | |||||||
\(854\) | −78.1900 | −2.67561 | ||||||||
\(855\) | −4.21222 | + | 3.51911i | −0.144055 | + | 0.120351i | ||||
\(856\) | −6.50273 | −0.222259 | ||||||||
\(857\) | −14.4089 | − | 8.31896i | −0.492197 | − | 0.284170i | 0.233288 | − | 0.972408i | \(-0.425051\pi\) |
−0.725485 | + | 0.688237i | \(0.758385\pi\) | |||||||
\(858\) | 27.4403 | + | 15.8426i | 0.936795 | + | 0.540859i | ||||
\(859\) | 20.1362 | + | 34.8769i | 0.687038 | + | 1.18999i | 0.972792 | + | 0.231682i | \(0.0744229\pi\) |
−0.285753 | + | 0.958303i | \(0.592244\pi\) | |||||||
\(860\) | 3.57467 | + | 1.26651i | 0.121895 | + | 0.0431878i | ||||
\(861\) | −0.254637 | − | 0.441044i | −0.00867799 | − | 0.0150307i | ||||
\(862\) | − | 0.118897i | − | 0.00404965i | ||||||
\(863\) | − | 32.9634i | − | 1.12209i | −0.827786 | − | 0.561044i | \(-0.810400\pi\) | ||
0.827786 | − | 0.561044i | \(-0.189600\pi\) | |||||||
\(864\) | −0.907306 | − | 1.57150i | −0.0308672 | − | 0.0534635i | ||||
\(865\) | −18.1798 | + | 15.5219i | −0.618131 | + | 0.527759i | ||||
\(866\) | 23.5027 | 0.798655 | ||||||||
\(867\) | 25.8456i | 0.877762i | ||||||||
\(868\) | 107.538 | − | 62.0873i | 3.65009 | − | 2.10738i | ||||
\(869\) | 12.4633 | − | 21.5870i | 0.422787 | − | 0.732288i | ||||
\(870\) | 20.0196 | + | 23.4476i | 0.678727 | + | 0.794950i | ||||
\(871\) | 10.7618 | − | 18.6400i | 0.364651 | − | 0.631594i | ||||
\(872\) | −52.0343 | − | 30.0420i | −1.76210 | − | 1.01735i | ||||
\(873\) | − | 2.47014i | − | 0.0836016i | ||||||
\(874\) | 4.55267 | − | 2.56389i | 0.153996 | − | 0.0867248i | ||||
\(875\) | −26.2975 | − | 42.9608i | −0.889018 | − | 1.45234i | ||||
\(876\) | 9.31004 | − | 16.1255i | 0.314557 | − | 0.544829i | ||||
\(877\) | 0.184636 | + | 0.106600i | 0.00623472 | + | 0.00359962i | 0.503114 | − | 0.864220i | \(-0.332188\pi\) |
−0.496879 | + | 0.867820i | \(0.665521\pi\) | |||||||
\(878\) | −47.3319 | + | 27.3271i | −1.59737 | + | 0.922244i | ||||
\(879\) | 14.1942 | − | 24.5851i | 0.478759 | − | 0.829236i | ||||
\(880\) | −13.4037 | − | 15.6989i | −0.451839 | − | 0.529210i | ||||
\(881\) | 51.8661 | 1.74741 | 0.873707 | − | 0.486453i | \(-0.161710\pi\) | ||||
0.873707 | + | 0.486453i | \(0.161710\pi\) | |||||||
\(882\) | 18.3929i | 0.619321i | ||||||||
\(883\) | 36.0657 | − | 20.8225i | 1.21371 | − | 0.700734i | 0.250142 | − | 0.968209i | \(-0.419523\pi\) |
0.963565 | + | 0.267475i | \(0.0861892\pi\) | |||||||
\(884\) | −5.04667 | − | 8.74109i | −0.169738 | − | 0.293995i | ||||
\(885\) | −7.96707 | − | 43.0256i | −0.267810 | − | 1.44629i | ||||
\(886\) | −49.4083 | −1.65990 | ||||||||
\(887\) | −3.54486 | + | 2.04663i | −0.119025 | + | 0.0687190i | −0.558330 | − | 0.829619i | \(-0.688558\pi\) |
0.439306 | + | 0.898338i | \(0.355225\pi\) | |||||||
\(888\) | 20.3305 | + | 11.7378i | 0.682246 | + | 0.393895i | ||||
\(889\) | −8.86718 | − | 15.3584i | −0.297396 | − | 0.515104i | ||||
\(890\) | 6.92139 | + | 2.45226i | 0.232006 | + | 0.0822000i | ||||
\(891\) | 7.68823 | − | 13.3164i | 0.257565 | − | 0.446116i | ||||
\(892\) | 87.4987i | 2.92967i | ||||||||
\(893\) | 11.1493 | − | 18.8423i | 0.373097 | − | 0.630533i | ||||
\(894\) | 68.8859 | 2.30389 | ||||||||
\(895\) | 5.74214 | − | 16.2069i | 0.191939 | − | 0.541737i | ||||
\(896\) | 43.4984 | − | 75.3414i | 1.45318 | − | 2.51698i | ||||
\(897\) | −2.47972 | + | 1.43167i | −0.0827955 | + | 0.0478020i | ||||
\(898\) | 26.5834 | + | 15.3479i | 0.887099 | + | 0.512167i | ||||
\(899\) | 12.2882 | + | 21.2838i | 0.409835 | + | 0.709855i | ||||
\(900\) | −10.6026 | + | 4.06600i | −0.353421 | + | 0.135533i | ||||
\(901\) | 1.74328 | 0.0580772 | ||||||||
\(902\) | −0.338668 | + | 0.195530i | −0.0112764 | + | 0.00651043i | ||||
\(903\) | 2.56139 | − | 1.47882i | 0.0852377 | − | 0.0492120i | ||||
\(904\) | −38.6794 | −1.28646 | ||||||||
\(905\) | −13.4698 | + | 2.49421i | −0.447751 | + | 0.0829102i | ||||
\(906\) | 24.4133 | + | 42.2851i | 0.811078 | + | 1.40483i | ||||
\(907\) | 7.28090 | + | 4.20363i | 0.241758 | + | 0.139579i | 0.615985 | − | 0.787758i | \(-0.288758\pi\) |
−0.374226 | + | 0.927337i | \(0.622092\pi\) | |||||||
\(908\) | −28.6265 | + | 16.5275i | −0.950005 | + | 0.548486i | ||||
\(909\) | 2.97580 | − | 5.15423i | 0.0987009 | − | 0.170955i | ||||
\(910\) | −87.6609 | − | 31.0584i | −2.90593 | − | 1.02958i | ||||
\(911\) | 8.87918 | 0.294180 | 0.147090 | − | 0.989123i | \(-0.453009\pi\) | ||||
0.147090 | + | 0.989123i | \(0.453009\pi\) | |||||||
\(912\) | −14.5490 | + | 24.5877i | −0.481764 | + | 0.814181i | ||||
\(913\) | − | 34.5192i | − | 1.14242i | ||||||
\(914\) | 34.7772 | − | 60.2359i | 1.15033 | − | 1.99243i | ||||
\(915\) | −23.2481 | − | 8.23685i | −0.768558 | − | 0.272302i | ||||
\(916\) | 33.5983 | + | 58.1939i | 1.11012 | + | 1.92278i | ||||
\(917\) | −63.6948 | − | 36.7742i | −2.10339 | − | 1.21439i | ||||
\(918\) | −7.87849 | + | 4.54865i | −0.260029 | + | 0.150128i | ||||
\(919\) | 45.9834 | 1.51685 | 0.758427 | − | 0.651758i | \(-0.225968\pi\) | ||||
0.758427 | + | 0.651758i | \(0.225968\pi\) | |||||||
\(920\) | 5.35790 | − | 0.992125i | 0.176645 | − | 0.0327094i | ||||
\(921\) | 22.9319 | + | 39.7191i | 0.755630 | + | 1.30879i | ||||
\(922\) | −11.3153 | + | 6.53290i | −0.372650 | + | 0.215150i | ||||
\(923\) | − | 26.2062i | − | 0.862587i | ||||||
\(924\) | −62.3623 | −2.05157 | ||||||||
\(925\) | 9.48048 | − | 11.6996i | 0.311716 | − | 0.384681i | ||||
\(926\) | −22.0231 | + | 38.1452i | −0.723725 | + | 1.25353i | ||||
\(927\) | 2.80724 | − | 1.62076i | 0.0922017 | − | 0.0532327i | ||||
\(928\) | −1.01600 | − | 0.586589i | −0.0333519 | − | 0.0192557i | ||||
\(929\) | −11.0889 | + | 19.2065i | −0.363814 | + | 0.630145i | −0.988585 | − | 0.150663i | \(-0.951859\pi\) |
0.624771 | + | 0.780808i | \(0.285192\pi\) | |||||||
\(930\) | 57.6148 | − | 10.6686i | 1.88926 | − | 0.349836i | ||||
\(931\) | 50.5044 | − | 28.4421i | 1.65521 | − | 0.932152i | ||||
\(932\) | 49.2564i | 1.61345i | ||||||||
\(933\) | 0.261231 | + | 0.150822i | 0.00855233 | + | 0.00493769i | ||||
\(934\) | −35.3436 | + | 61.2170i | −1.15648 | + | 2.00308i | ||||
\(935\) | −2.48975 | + | 2.12574i | −0.0814234 | + | 0.0695192i | ||||
\(936\) | −5.28430 | + | 9.15267i | −0.172723 | + | 0.299165i | ||||
\(937\) | −29.7284 | + | 17.1637i | −0.971186 | + | 0.560714i | −0.899598 | − | 0.436720i | \(-0.856140\pi\) |
−0.0715882 | + | 0.997434i | \(0.522807\pi\) | |||||||
\(938\) | 63.3706i | 2.06912i | ||||||||
\(939\) | −33.2120 | −1.08383 | ||||||||
\(940\) | 34.4474 | − | 29.4111i | 1.12355 | − | 0.959286i | ||||
\(941\) | −16.8606 | − | 29.2035i | −0.549641 | − | 0.952006i | −0.998299 | − | 0.0583025i | \(-0.981431\pi\) |
0.448658 | − | 0.893704i | \(-0.351902\pi\) | |||||||
\(942\) | 76.8923i | 2.50529i | ||||||||
\(943\) | − | 0.0353393i | − | 0.00115080i | ||||||
\(944\) | 26.3167 | + | 45.5818i | 0.856535 | + | 1.48356i | ||||
\(945\) | −18.7133 | + | 52.8173i | −0.608743 | + | 1.71815i | ||||
\(946\) | −1.13555 | − | 1.96683i | −0.0369200 | − | 0.0639473i | ||||
\(947\) | −19.1794 | − | 11.0732i | −0.623248 | − | 0.359832i | 0.154885 | − | 0.987933i | \(-0.450499\pi\) |
−0.778132 | + | 0.628100i | \(0.783833\pi\) | |||||||
\(948\) | −61.8108 | − | 35.6865i | −2.00752 | − | 1.15904i | ||||
\(949\) | −11.1163 | −0.360849 | ||||||||
\(950\) | 41.2277 | + | 34.1456i | 1.33760 | + | 1.10783i | ||||
\(951\) | −29.9254 | −0.970398 | ||||||||
\(952\) | 12.9730 | + | 7.48995i | 0.420457 | + | 0.242751i | ||||
\(953\) | 32.2999 | + | 18.6484i | 1.04630 | + | 0.604079i | 0.921610 | − | 0.388117i | \(-0.126874\pi\) |
0.124686 | + | 0.992196i | \(0.460208\pi\) | |||||||
\(954\) | −1.81058 | − | 3.13602i | −0.0586198 | − | 0.101532i | ||||
\(955\) | −4.37240 | + | 12.3409i | −0.141488 | + | 0.399342i | ||||
\(956\) | −4.11254 | − | 7.12313i | −0.133009 | − | 0.230378i | ||||
\(957\) | − | 12.3426i | − | 0.398981i | ||||||
\(958\) | − | 19.7761i | − | 0.638936i | ||||||
\(959\) | −37.0121 | − | 64.1069i | −1.19518 | − | 2.07012i | ||||
\(960\) | 20.1649 | − | 17.2167i | 0.650819 | − | 0.555668i | ||||
\(961\) | 15.7069 | 0.506674 | ||||||||
\(962\) | − | 27.8030i | − | 0.896405i | ||||||
\(963\) | 0.635118 | − | 0.366686i | 0.0204664 | − | 0.0118163i | ||||
\(964\) | 35.3359 | − | 61.2036i | 1.13809 | − | 1.97123i | ||||
\(965\) | 4.40644 | − | 3.76221i | 0.141848 | − | 0.121110i | ||||
\(966\) | 4.21516 | − | 7.30087i | 0.135621 | − | 0.234902i | ||||
\(967\) | −16.1718 | − | 9.33679i | −0.520050 | − | 0.300251i | 0.216905 | − | 0.976193i | \(-0.430404\pi\) |
−0.736955 | + | 0.675942i | \(0.763737\pi\) | |||||||
\(968\) | − | 30.7875i | − | 0.989547i | ||||||
\(969\) | 3.89946 | + | 2.30738i | 0.125269 | + | 0.0741236i | ||||
\(970\) | −23.6883 | + | 4.38638i | −0.760587 | + | 0.140838i | ||||
\(971\) | −14.2903 | + | 24.7515i | −0.458598 | + | 0.794314i | −0.998887 | − | 0.0471649i | \(-0.984981\pi\) |
0.540290 | + | 0.841479i | \(0.318315\pi\) | |||||||
\(972\) | 20.1509 | + | 11.6341i | 0.646341 | + | 0.373165i | ||||
\(973\) | −10.4116 | + | 6.01113i | −0.333780 | + | 0.192708i | ||||
\(974\) | −1.34798 | + | 2.33477i | −0.0431921 | + | 0.0748109i | ||||
\(975\) | −22.7922 | − | 18.4691i | −0.729936 | − | 0.591485i | ||||
\(976\) | 29.6674 | 0.949630 | ||||||||
\(977\) | − | 58.1909i | − | 1.86169i | −0.365411 | − | 0.930846i | \(-0.619072\pi\) | ||
0.365411 | − | 0.930846i | \(-0.380928\pi\) | |||||||
\(978\) | −47.2618 | + | 27.2866i | −1.51127 | + | 0.872530i | ||||
\(979\) | −1.46980 | − | 2.54576i | −0.0469749 | − | 0.0813628i | ||||
\(980\) | 117.911 | − | 21.8337i | 3.76654 | − | 0.697451i | ||||
\(981\) | 6.77622 | 0.216348 | ||||||||
\(982\) | −27.8768 | + | 16.0947i | −0.889586 | + | 0.513602i | ||||
\(983\) | −41.6320 | − | 24.0363i | −1.32786 | − | 0.766638i | −0.342888 | − | 0.939376i | \(-0.611405\pi\) |
−0.984968 | + | 0.172738i | \(0.944738\pi\) | |||||||
\(984\) | 0.282220 | + | 0.488819i | 0.00899684 | + | 0.0155830i | ||||
\(985\) | −41.8647 | − | 14.8327i | −1.33392 | − | 0.472610i | ||||
\(986\) | −2.94078 | + | 5.09359i | −0.0936536 | + | 0.162213i | ||||
\(987\) | − | 35.3249i | − | 1.12440i | ||||||
\(988\) | 66.0674 | + | 0.707444i | 2.10188 | + | 0.0225068i | ||||
\(989\) | 0.205235 | 0.00652609 | ||||||||
\(990\) | 6.40989 | + | 2.27104i | 0.203720 | + | 0.0721784i | ||||
\(991\) | −19.1976 | + | 33.2512i | −0.609832 | + | 1.05626i | 0.381436 | + | 0.924395i | \(0.375430\pi\) |
−0.991268 | + | 0.131865i | \(0.957904\pi\) | |||||||
\(992\) | −1.93089 | + | 1.11480i | −0.0613057 | + | 0.0353949i | ||||
\(993\) | 27.8587 | + | 16.0842i | 0.884069 | + | 0.510417i | ||||
\(994\) | 38.5785 | + | 66.8200i | 1.22364 | + | 2.11940i | ||||
\(995\) | 28.0593 | − | 5.19576i | 0.889540 | − | 0.164717i | ||||
\(996\) | −98.8399 | −3.13186 | ||||||||
\(997\) | −32.7546 | + | 18.9109i | −1.03735 | + | 0.598914i | −0.919081 | − | 0.394068i | \(-0.871067\pi\) |
−0.118268 | + | 0.992982i | \(0.537734\pi\) | |||||||
\(998\) | 51.3504 | − | 29.6472i | 1.62547 | − | 0.938465i | ||||
\(999\) | −16.7518 | −0.530004 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 95.2.i.b.49.6 | yes | 12 | |
3.2 | odd | 2 | 855.2.be.d.334.1 | 12 | |||
5.2 | odd | 4 | 475.2.e.g.201.1 | 12 | |||
5.3 | odd | 4 | 475.2.e.g.201.6 | 12 | |||
5.4 | even | 2 | inner | 95.2.i.b.49.1 | ✓ | 12 | |
15.14 | odd | 2 | 855.2.be.d.334.6 | 12 | |||
19.7 | even | 3 | inner | 95.2.i.b.64.1 | yes | 12 | |
19.8 | odd | 6 | 1805.2.b.g.1084.6 | 6 | |||
19.11 | even | 3 | 1805.2.b.f.1084.1 | 6 | |||
57.26 | odd | 6 | 855.2.be.d.64.6 | 12 | |||
95.7 | odd | 12 | 475.2.e.g.26.1 | 12 | |||
95.8 | even | 12 | 9025.2.a.bt.1.6 | 6 | |||
95.27 | even | 12 | 9025.2.a.bt.1.1 | 6 | |||
95.49 | even | 6 | 1805.2.b.f.1084.6 | 6 | |||
95.64 | even | 6 | inner | 95.2.i.b.64.6 | yes | 12 | |
95.68 | odd | 12 | 9025.2.a.bu.1.1 | 6 | |||
95.83 | odd | 12 | 475.2.e.g.26.6 | 12 | |||
95.84 | odd | 6 | 1805.2.b.g.1084.1 | 6 | |||
95.87 | odd | 12 | 9025.2.a.bu.1.6 | 6 | |||
285.254 | odd | 6 | 855.2.be.d.64.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.i.b.49.1 | ✓ | 12 | 5.4 | even | 2 | inner | |
95.2.i.b.49.6 | yes | 12 | 1.1 | even | 1 | trivial | |
95.2.i.b.64.1 | yes | 12 | 19.7 | even | 3 | inner | |
95.2.i.b.64.6 | yes | 12 | 95.64 | even | 6 | inner | |
475.2.e.g.26.1 | 12 | 95.7 | odd | 12 | |||
475.2.e.g.26.6 | 12 | 95.83 | odd | 12 | |||
475.2.e.g.201.1 | 12 | 5.2 | odd | 4 | |||
475.2.e.g.201.6 | 12 | 5.3 | odd | 4 | |||
855.2.be.d.64.1 | 12 | 285.254 | odd | 6 | |||
855.2.be.d.64.6 | 12 | 57.26 | odd | 6 | |||
855.2.be.d.334.1 | 12 | 3.2 | odd | 2 | |||
855.2.be.d.334.6 | 12 | 15.14 | odd | 2 | |||
1805.2.b.f.1084.1 | 6 | 19.11 | even | 3 | |||
1805.2.b.f.1084.6 | 6 | 95.49 | even | 6 | |||
1805.2.b.g.1084.1 | 6 | 95.84 | odd | 6 | |||
1805.2.b.g.1084.6 | 6 | 19.8 | odd | 6 | |||
9025.2.a.bt.1.1 | 6 | 95.27 | even | 12 | |||
9025.2.a.bt.1.6 | 6 | 95.8 | even | 12 | |||
9025.2.a.bu.1.1 | 6 | 95.68 | odd | 12 | |||
9025.2.a.bu.1.6 | 6 | 95.87 | odd | 12 |