Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.13 | ||
Character | \(\chi\) | \(=\) | 315.103 |
Dual form | 315.2.bs.e.52.13 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.690838 | + | 0.690838i | −0.488496 | + | 0.488496i | −0.907832 | − | 0.419335i | \(-0.862263\pi\) |
0.419335 | + | 0.907832i | \(0.362263\pi\) | |||||||
\(3\) | 0.0911190 | − | 1.72965i | 0.0526076 | − | 0.998615i | ||||
\(4\) | 1.04549i | 0.522743i | ||||||||
\(5\) | 1.77477 | − | 1.36022i | 0.793700 | − | 0.608310i | ||||
\(6\) | 1.13196 | + | 1.25786i | 0.462121 | + | 0.513519i | ||||
\(7\) | −0.704044 | − | 2.55036i | −0.266104 | − | 0.963944i | ||||
\(8\) | −2.10394 | − | 2.10394i | −0.743854 | − | 0.743854i | ||||
\(9\) | −2.98339 | − | 0.315208i | −0.994465 | − | 0.105069i | ||||
\(10\) | −0.286383 | + | 2.16577i | −0.0905622 | + | 0.684877i | ||||
\(11\) | 0.816710 | − | 1.41458i | 0.246247 | − | 0.426513i | −0.716234 | − | 0.697860i | \(-0.754136\pi\) |
0.962482 | + | 0.271347i | \(0.0874691\pi\) | |||||||
\(12\) | 1.80833 | + | 0.0952635i | 0.522019 | + | 0.0275002i | ||||
\(13\) | −0.137573 | − | 0.513429i | −0.0381558 | − | 0.142400i | 0.944220 | − | 0.329315i | \(-0.106818\pi\) |
−0.982376 | + | 0.186915i | \(0.940151\pi\) | |||||||
\(14\) | 2.24826 | + | 1.27550i | 0.600874 | + | 0.340893i | ||||
\(15\) | −2.19100 | − | 3.19367i | −0.565713 | − | 0.824602i | ||||
\(16\) | 0.815990 | 0.203998 | ||||||||
\(17\) | 0.265268 | − | 0.989992i | 0.0643369 | − | 0.240108i | −0.926268 | − | 0.376866i | \(-0.877002\pi\) |
0.990604 | + | 0.136758i | \(0.0436683\pi\) | |||||||
\(18\) | 2.27880 | − | 1.84329i | 0.537119 | − | 0.434466i | ||||
\(19\) | −2.99374 | + | 5.18531i | −0.686811 | + | 1.18959i | 0.286053 | + | 0.958214i | \(0.407657\pi\) |
−0.972864 | + | 0.231377i | \(0.925677\pi\) | |||||||
\(20\) | 1.42209 | + | 1.85549i | 0.317989 | + | 0.414901i | ||||
\(21\) | −4.47538 | + | 0.985366i | −0.976609 | + | 0.215024i | ||||
\(22\) | 0.413034 | + | 1.54146i | 0.0880591 | + | 0.328641i | ||||
\(23\) | 1.92122 | − | 7.17009i | 0.400602 | − | 1.49507i | −0.411423 | − | 0.911444i | \(-0.634968\pi\) |
0.812025 | − | 0.583622i | \(-0.198365\pi\) | |||||||
\(24\) | −3.83079 | + | 3.44737i | −0.781957 | + | 0.703692i | ||||
\(25\) | 1.29959 | − | 4.82815i | 0.259918 | − | 0.965631i | ||||
\(26\) | 0.449737 | + | 0.259656i | 0.0882006 | + | 0.0509227i | ||||
\(27\) | −0.817045 | + | 5.13151i | −0.157240 | + | 0.987560i | ||||
\(28\) | 2.66636 | − | 0.736068i | 0.503895 | − | 0.139104i | ||||
\(29\) | 5.82340 | − | 3.36214i | 1.08138 | − | 0.624334i | 0.150110 | − | 0.988669i | \(-0.452037\pi\) |
0.931268 | + | 0.364335i | \(0.118704\pi\) | |||||||
\(30\) | 3.71993 | + | 0.692686i | 0.679164 | + | 0.126467i | ||||
\(31\) | − | 8.35659i | − | 1.50089i | −0.660934 | − | 0.750444i | \(-0.729840\pi\) | ||
0.660934 | − | 0.750444i | \(-0.270160\pi\) | |||||||
\(32\) | 3.64416 | − | 3.64416i | 0.644202 | − | 0.644202i | ||||
\(33\) | −2.37232 | − | 1.54152i | −0.412968 | − | 0.268344i | ||||
\(34\) | 0.500668 | + | 0.867182i | 0.0858638 | + | 0.148720i | ||||
\(35\) | −4.71857 | − | 3.56863i | −0.797583 | − | 0.603209i | ||||
\(36\) | 0.329546 | − | 3.11909i | 0.0549243 | − | 0.519849i | ||||
\(37\) | 1.47305 | + | 5.49748i | 0.242167 | + | 0.903780i | 0.974786 | + | 0.223141i | \(0.0716311\pi\) |
−0.732619 | + | 0.680639i | \(0.761702\pi\) | |||||||
\(38\) | −1.51402 | − | 5.65040i | −0.245606 | − | 0.916615i | ||||
\(39\) | −0.900589 | + | 0.191170i | −0.144210 | + | 0.0306117i | ||||
\(40\) | −6.59582 | − | 0.872175i | −1.04289 | − | 0.137903i | ||||
\(41\) | 6.13816 | + | 3.54387i | 0.958619 | + | 0.553459i | 0.895748 | − | 0.444563i | \(-0.146641\pi\) |
0.0628714 | + | 0.998022i | \(0.479974\pi\) | |||||||
\(42\) | 2.41104 | − | 3.77249i | 0.372031 | − | 0.582108i | ||||
\(43\) | −1.98612 | + | 7.41230i | −0.302880 | + | 1.13036i | 0.631874 | + | 0.775071i | \(0.282286\pi\) |
−0.934755 | + | 0.355294i | \(0.884381\pi\) | |||||||
\(44\) | 1.47893 | + | 0.853858i | 0.222956 | + | 0.128724i | ||||
\(45\) | −5.72358 | + | 3.49866i | −0.853221 | + | 0.521549i | ||||
\(46\) | 3.62612 | + | 6.28062i | 0.534642 | + | 0.926027i | ||||
\(47\) | 1.39656 | + | 1.39656i | 0.203709 | + | 0.203709i | 0.801587 | − | 0.597878i | \(-0.203989\pi\) |
−0.597878 | + | 0.801587i | \(0.703989\pi\) | |||||||
\(48\) | 0.0743522 | − | 1.41138i | 0.0107318 | − | 0.203715i | ||||
\(49\) | −6.00864 | + | 3.59113i | −0.858378 | + | 0.513018i | ||||
\(50\) | 2.43767 | + | 4.23328i | 0.344738 | + | 0.598676i | ||||
\(51\) | −1.68817 | − | 0.549028i | −0.236391 | − | 0.0768793i | ||||
\(52\) | 0.536782 | − | 0.143830i | 0.0744383 | − | 0.0199457i | ||||
\(53\) | 0.361997 | − | 1.35099i | 0.0497241 | − | 0.185573i | −0.936597 | − | 0.350409i | \(-0.886043\pi\) |
0.986321 | + | 0.164836i | \(0.0527094\pi\) | |||||||
\(54\) | −2.98060 | − | 4.10949i | −0.405608 | − | 0.559231i | ||||
\(55\) | −0.474678 | − | 3.62146i | −0.0640056 | − | 0.488318i | ||||
\(56\) | −3.88453 | + | 6.84706i | −0.519092 | + | 0.914976i | ||||
\(57\) | 8.69599 | + | 5.65061i | 1.15181 | + | 0.748441i | ||||
\(58\) | −1.70033 | + | 6.34572i | −0.223264 | + | 0.833234i | ||||
\(59\) | −1.10522 | −0.143887 | −0.0719437 | − | 0.997409i | \(-0.522920\pi\) | ||||
−0.0719437 | + | 0.997409i | \(0.522920\pi\) | |||||||
\(60\) | 3.33894 | − | 2.29065i | 0.431055 | − | 0.295722i | ||||
\(61\) | 13.7361i | 1.75873i | 0.476153 | + | 0.879363i | \(0.342031\pi\) | ||||
−0.476153 | + | 0.879363i | \(0.657969\pi\) | |||||||
\(62\) | 5.77305 | + | 5.77305i | 0.733178 | + | 0.733178i | ||||
\(63\) | 1.29655 | + | 7.83064i | 0.163350 | + | 0.986568i | ||||
\(64\) | 6.66703i | 0.833378i | ||||||||
\(65\) | −0.942537 | − | 0.724087i | −0.116907 | − | 0.0898119i | ||||
\(66\) | 2.70383 | − | 0.573948i | 0.332818 | − | 0.0706481i | ||||
\(67\) | 3.95260 | − | 3.95260i | 0.482886 | − | 0.482886i | −0.423166 | − | 0.906052i | \(-0.639081\pi\) |
0.906052 | + | 0.423166i | \(0.139081\pi\) | |||||||
\(68\) | 1.03502 | + | 0.277333i | 0.125515 | + | 0.0336316i | ||||
\(69\) | −12.2267 | − | 3.97637i | −1.47192 | − | 0.478699i | ||||
\(70\) | 5.72511 | − | 0.794419i | 0.684282 | − | 0.0949512i | ||||
\(71\) | −6.35753 | −0.754500 | −0.377250 | − | 0.926112i | \(-0.623130\pi\) | ||||
−0.377250 | + | 0.926112i | \(0.623130\pi\) | |||||||
\(72\) | 5.61370 | + | 6.94005i | 0.661581 | + | 0.817893i | ||||
\(73\) | 6.07255 | + | 1.62714i | 0.710739 | + | 0.190442i | 0.596036 | − | 0.802958i | \(-0.296742\pi\) |
0.114703 | + | 0.993400i | \(0.463408\pi\) | |||||||
\(74\) | −4.81551 | − | 2.78023i | −0.559791 | − | 0.323196i | ||||
\(75\) | −8.23261 | − | 2.68778i | −0.950620 | − | 0.310358i | ||||
\(76\) | −5.42116 | − | 3.12991i | −0.621850 | − | 0.359025i | ||||
\(77\) | −4.18269 | − | 1.08697i | −0.476662 | − | 0.123872i | ||||
\(78\) | 0.490094 | − | 0.754229i | 0.0554922 | − | 0.0853996i | ||||
\(79\) | − | 6.73743i | − | 0.758020i | −0.925393 | − | 0.379010i | \(-0.876265\pi\) | ||
0.925393 | − | 0.379010i | \(-0.123735\pi\) | |||||||
\(80\) | 1.44819 | − | 1.10993i | 0.161913 | − | 0.124094i | ||||
\(81\) | 8.80129 | + | 1.88078i | 0.977921 | + | 0.208976i | ||||
\(82\) | −6.68871 | + | 1.79224i | −0.738645 | + | 0.197919i | ||||
\(83\) | 3.78491 | + | 1.01416i | 0.415448 | + | 0.111319i | 0.460488 | − | 0.887666i | \(-0.347675\pi\) |
−0.0450392 | + | 0.998985i | \(0.514341\pi\) | |||||||
\(84\) | −1.03019 | − | 4.67895i | −0.112402 | − | 0.510515i | ||||
\(85\) | −0.875822 | − | 2.11783i | −0.0949962 | − | 0.229711i | ||||
\(86\) | −3.74861 | − | 6.49278i | −0.404223 | − | 0.700135i | ||||
\(87\) | −5.28471 | − | 10.3788i | −0.566581 | − | 1.11273i | ||||
\(88\) | −4.69450 | + | 1.25789i | −0.500436 | + | 0.134091i | ||||
\(89\) | −9.04644 | + | 15.6689i | −0.958921 | + | 1.66090i | −0.233793 | + | 0.972286i | \(0.575114\pi\) |
−0.725128 | + | 0.688614i | \(0.758220\pi\) | |||||||
\(90\) | 1.53706 | − | 6.37108i | 0.162021 | − | 0.671570i | ||||
\(91\) | −1.21257 | + | 0.712336i | −0.127112 | + | 0.0746731i | ||||
\(92\) | 7.49622 | + | 2.00861i | 0.781535 | + | 0.209412i | ||||
\(93\) | −14.4540 | − | 0.761444i | −1.49881 | − | 0.0789581i | ||||
\(94\) | −1.92959 | −0.199022 | ||||||||
\(95\) | 1.73998 | + | 13.2749i | 0.178519 | + | 1.36197i | ||||
\(96\) | −5.97107 | − | 6.63518i | −0.609420 | − | 0.677200i | ||||
\(97\) | 0.0399199 | − | 0.148983i | 0.00405325 | − | 0.0151270i | −0.963870 | − | 0.266375i | \(-0.914174\pi\) |
0.967923 | + | 0.251248i | \(0.0808409\pi\) | |||||||
\(98\) | 1.67011 | − | 6.63189i | 0.168707 | − | 0.669922i | ||||
\(99\) | −2.88246 | + | 3.96283i | −0.289698 | + | 0.398279i | ||||
\(100\) | 5.04776 | + | 1.35870i | 0.504776 | + | 0.135870i | ||||
\(101\) | 7.05201 | + | 4.07148i | 0.701701 | + | 0.405127i | 0.807981 | − | 0.589209i | \(-0.200561\pi\) |
−0.106280 | + | 0.994336i | \(0.533894\pi\) | |||||||
\(102\) | 1.54554 | − | 0.786964i | 0.153032 | − | 0.0779211i | ||||
\(103\) | 9.91904 | + | 2.65780i | 0.977352 | + | 0.261881i | 0.711929 | − | 0.702252i | \(-0.247822\pi\) |
0.265423 | + | 0.964132i | \(0.414488\pi\) | |||||||
\(104\) | −0.790777 | + | 1.36967i | −0.0775421 | + | 0.134307i | ||||
\(105\) | −6.60244 | + | 7.83631i | −0.644332 | + | 0.764745i | ||||
\(106\) | 0.683235 | + | 1.18340i | 0.0663616 | + | 0.114942i | ||||
\(107\) | −0.329306 | − | 1.22899i | −0.0318352 | − | 0.118811i | 0.948180 | − | 0.317734i | \(-0.102922\pi\) |
−0.980015 | + | 0.198924i | \(0.936255\pi\) | |||||||
\(108\) | −5.36492 | − | 0.854208i | −0.516240 | − | 0.0821962i | ||||
\(109\) | 10.0397 | − | 5.79643i | 0.961630 | − | 0.555197i | 0.0649556 | − | 0.997888i | \(-0.479309\pi\) |
0.896674 | + | 0.442691i | \(0.145976\pi\) | |||||||
\(110\) | 2.82977 | + | 2.17392i | 0.269808 | + | 0.207275i | ||||
\(111\) | 9.64295 | − | 2.04693i | 0.915269 | − | 0.194286i | ||||
\(112\) | −0.574493 | − | 2.08107i | −0.0542845 | − | 0.196642i | ||||
\(113\) | −20.1005 | + | 5.38592i | −1.89090 | + | 0.506664i | −0.892438 | + | 0.451170i | \(0.851007\pi\) |
−0.998459 | + | 0.0554944i | \(0.982327\pi\) | |||||||
\(114\) | −9.91118 | + | 2.10387i | −0.928267 | + | 0.197045i | ||||
\(115\) | −6.34320 | − | 15.3385i | −0.591506 | − | 1.43032i | ||||
\(116\) | 3.51507 | + | 6.08828i | 0.326366 | + | 0.565282i | ||||
\(117\) | 0.248597 | + | 1.57512i | 0.0229828 | + | 0.145620i | ||||
\(118\) | 0.763528 | − | 0.763528i | 0.0702884 | − | 0.0702884i | ||||
\(119\) | −2.71159 | + | 0.0204710i | −0.248571 | + | 0.00187657i | ||||
\(120\) | −2.10956 | + | 11.3290i | −0.192576 | + | 1.03419i | ||||
\(121\) | 4.16597 | + | 7.21567i | 0.378724 | + | 0.655970i | ||||
\(122\) | −9.48941 | − | 9.48941i | −0.859131 | − | 0.859131i | ||||
\(123\) | 6.68896 | − | 10.2940i | 0.603123 | − | 0.928176i | ||||
\(124\) | 8.73669 | 0.784578 | ||||||||
\(125\) | −4.26089 | − | 10.3366i | −0.381106 | − | 0.924531i | ||||
\(126\) | −6.30541 | − | 4.51400i | −0.561731 | − | 0.402139i | ||||
\(127\) | −1.86063 | + | 1.86063i | −0.165104 | + | 0.165104i | −0.784824 | − | 0.619719i | \(-0.787246\pi\) |
0.619719 | + | 0.784824i | \(0.287246\pi\) | |||||||
\(128\) | 2.68248 | + | 2.68248i | 0.237100 | + | 0.237100i | ||||
\(129\) | 12.6397 | + | 4.11070i | 1.11287 | + | 0.361927i | ||||
\(130\) | 1.15137 | − | 0.150914i | 0.100982 | − | 0.0132360i | ||||
\(131\) | 1.82517 | − | 1.05376i | 0.159465 | − | 0.0920674i | −0.418144 | − | 0.908381i | \(-0.637319\pi\) |
0.577609 | + | 0.816313i | \(0.303986\pi\) | |||||||
\(132\) | 1.61164 | − | 2.48022i | 0.140275 | − | 0.215876i | ||||
\(133\) | 15.3321 | + | 3.98442i | 1.32946 | + | 0.345493i | ||||
\(134\) | 5.46121i | 0.471777i | ||||||||
\(135\) | 5.52994 | + | 10.2186i | 0.475941 | + | 0.879477i | ||||
\(136\) | −2.64099 | + | 1.52478i | −0.226463 | + | 0.130748i | ||||
\(137\) | −3.50159 | − | 13.0681i | −0.299161 | − | 1.11648i | −0.937856 | − | 0.347024i | \(-0.887192\pi\) |
0.638695 | − | 0.769460i | \(-0.279474\pi\) | |||||||
\(138\) | 11.1937 | − | 5.69964i | 0.952871 | − | 0.485186i | ||||
\(139\) | 6.44269 | − | 11.1591i | 0.546461 | − | 0.946499i | −0.452052 | − | 0.891992i | \(-0.649308\pi\) |
0.998513 | − | 0.0545074i | \(-0.0173588\pi\) | |||||||
\(140\) | 3.73095 | − | 4.93319i | 0.315323 | − | 0.416931i | ||||
\(141\) | 2.54281 | − | 2.28831i | 0.214144 | − | 0.192710i | ||||
\(142\) | 4.39202 | − | 4.39202i | 0.368570 | − | 0.368570i | ||||
\(143\) | −0.838645 | − | 0.224714i | −0.0701310 | − | 0.0187915i | ||||
\(144\) | −2.43442 | − | 0.257207i | −0.202868 | − | 0.0214339i | ||||
\(145\) | 5.76191 | − | 13.8881i | 0.478501 | − | 1.15335i | ||||
\(146\) | −5.31924 | + | 3.07106i | −0.440223 | + | 0.254163i | ||||
\(147\) | 5.66390 | + | 10.7201i | 0.467151 | + | 0.884178i | ||||
\(148\) | −5.74753 | + | 1.54005i | −0.472444 | + | 0.126591i | ||||
\(149\) | 3.17238 | − | 1.83158i | 0.259892 | − | 0.150049i | −0.364393 | − | 0.931245i | \(-0.618724\pi\) |
0.624285 | + | 0.781197i | \(0.285390\pi\) | |||||||
\(150\) | 7.54422 | − | 3.83058i | 0.615983 | − | 0.312766i | ||||
\(151\) | −0.998652 | + | 1.72972i | −0.0812691 | + | 0.140762i | −0.903795 | − | 0.427965i | \(-0.859231\pi\) |
0.822526 | + | 0.568727i | \(0.192564\pi\) | |||||||
\(152\) | 17.2082 | − | 4.61092i | 1.39577 | − | 0.373995i | ||||
\(153\) | −1.10345 | + | 2.86992i | −0.0892088 | + | 0.232020i | ||||
\(154\) | 3.64049 | − | 2.13864i | 0.293359 | − | 0.172337i | ||||
\(155\) | −11.3668 | − | 14.8310i | −0.913005 | − | 1.19125i | ||||
\(156\) | −0.199865 | − | 0.941552i | −0.0160020 | − | 0.0753845i | ||||
\(157\) | −5.97391 | − | 5.97391i | −0.476770 | − | 0.476770i | 0.427327 | − | 0.904097i | \(-0.359455\pi\) |
−0.904097 | + | 0.427327i | \(0.859455\pi\) | |||||||
\(158\) | 4.65447 | + | 4.65447i | 0.370290 | + | 0.370290i | ||||
\(159\) | −2.30376 | − | 0.749230i | −0.182700 | − | 0.0594178i | ||||
\(160\) | 1.51066 | − | 11.4244i | 0.119428 | − | 0.903178i | ||||
\(161\) | −19.6389 | + | 0.148263i | −1.54776 | + | 0.0116847i | ||||
\(162\) | −7.37958 | + | 4.78095i | −0.579795 | + | 0.375627i | ||||
\(163\) | −2.14187 | + | 0.573913i | −0.167764 | + | 0.0449523i | −0.341723 | − | 0.939801i | \(-0.611011\pi\) |
0.173959 | + | 0.984753i | \(0.444344\pi\) | |||||||
\(164\) | −3.70506 | + | 6.41735i | −0.289317 | + | 0.501111i | ||||
\(165\) | −6.30712 | + | 0.491044i | −0.491009 | + | 0.0382277i | ||||
\(166\) | −3.31539 | + | 1.91414i | −0.257324 | + | 0.148566i | ||||
\(167\) | 1.31306 | − | 0.351833i | 0.101607 | − | 0.0272256i | −0.207657 | − | 0.978202i | \(-0.566584\pi\) |
0.309265 | + | 0.950976i | \(0.399917\pi\) | |||||||
\(168\) | 11.4891 | + | 7.34278i | 0.886401 | + | 0.566508i | ||||
\(169\) | 11.0136 | − | 6.35873i | 0.847204 | − | 0.489133i | ||||
\(170\) | 2.06813 | + | 0.858026i | 0.158618 | + | 0.0658076i | ||||
\(171\) | 10.5660 | − | 14.5262i | 0.807999 | − | 1.11084i | ||||
\(172\) | −7.74945 | − | 2.07646i | −0.590890 | − | 0.158328i | ||||
\(173\) | 1.45010 | − | 1.45010i | 0.110249 | − | 0.110249i | −0.649830 | − | 0.760079i | \(-0.725160\pi\) |
0.760079 | + | 0.649830i | \(0.225160\pi\) | |||||||
\(174\) | 10.8210 | + | 3.51920i | 0.820335 | + | 0.266790i | ||||
\(175\) | −13.2285 | + | 0.0848112i | −0.999979 | + | 0.00641112i | ||||
\(176\) | 0.666427 | − | 1.15429i | 0.0502339 | − | 0.0870076i | ||||
\(177\) | −0.100706 | + | 1.91165i | −0.00756956 | + | 0.143688i | ||||
\(178\) | −4.57505 | − | 17.0743i | −0.342914 | − | 1.27977i | ||||
\(179\) | 14.6028 | − | 8.43092i | 1.09146 | − | 0.630157i | 0.157498 | − | 0.987519i | \(-0.449657\pi\) |
0.933966 | + | 0.357362i | \(0.116324\pi\) | |||||||
\(180\) | −3.65780 | − | 5.98392i | −0.272636 | − | 0.446015i | ||||
\(181\) | 20.3678i | 1.51392i | 0.653459 | + | 0.756962i | \(0.273317\pi\) | ||||
−0.653459 | + | 0.756962i | \(0.726683\pi\) | |||||||
\(182\) | 0.345580 | − | 1.32980i | 0.0256161 | − | 0.0985712i | ||||
\(183\) | 23.7587 | + | 1.25162i | 1.75629 | + | 0.0925223i | ||||
\(184\) | −19.1275 | + | 11.0433i | −1.41010 | + | 0.814122i | ||||
\(185\) | 10.0921 | + | 7.75307i | 0.741986 | + | 0.570017i | ||||
\(186\) | 10.5114 | − | 9.45934i | 0.770734 | − | 0.693592i | ||||
\(187\) | −1.18378 | − | 1.18378i | −0.0865666 | − | 0.0865666i | ||||
\(188\) | −1.46008 | + | 1.46008i | −0.106487 | + | 0.106487i | ||||
\(189\) | 13.6624 | − | 1.52906i | 0.993796 | − | 0.111223i | ||||
\(190\) | −10.3728 | − | 7.96873i | −0.752524 | − | 0.578113i | ||||
\(191\) | 17.2341 | 1.24701 | 0.623506 | − | 0.781818i | \(-0.285708\pi\) | ||||
0.623506 | + | 0.781818i | \(0.285708\pi\) | |||||||
\(192\) | 11.5316 | + | 0.607493i | 0.832224 | + | 0.0438420i | ||||
\(193\) | 7.64872 | + | 7.64872i | 0.550567 | + | 0.550567i | 0.926604 | − | 0.376038i | \(-0.122714\pi\) |
−0.376038 | + | 0.926604i | \(0.622714\pi\) | |||||||
\(194\) | 0.0753451 | + | 0.130501i | 0.00540946 | + | 0.00936946i | ||||
\(195\) | −1.33830 | + | 1.56428i | −0.0958377 | + | 0.112021i | ||||
\(196\) | −3.75447 | − | 6.28195i | −0.268176 | − | 0.448711i | ||||
\(197\) | 4.66542 | − | 4.66542i | 0.332398 | − | 0.332398i | −0.521099 | − | 0.853496i | \(-0.674478\pi\) |
0.853496 | + | 0.521099i | \(0.174478\pi\) | |||||||
\(198\) | −0.746361 | − | 4.72898i | −0.0530415 | − | 0.336074i | ||||
\(199\) | −2.58318 | − | 4.47420i | −0.183117 | − | 0.317168i | 0.759823 | − | 0.650130i | \(-0.225285\pi\) |
−0.942940 | + | 0.332962i | \(0.891952\pi\) | |||||||
\(200\) | −12.8924 | + | 7.42387i | −0.911630 | + | 0.524947i | ||||
\(201\) | −6.47646 | − | 7.19677i | −0.456814 | − | 0.507621i | ||||
\(202\) | −7.68453 | + | 2.05906i | −0.540682 | + | 0.144875i | ||||
\(203\) | −12.6746 | − | 12.4847i | −0.889582 | − | 0.876251i | ||||
\(204\) | 0.574001 | − | 1.76496i | 0.0401881 | − | 0.123572i | ||||
\(205\) | 15.7142 | − | 2.05972i | 1.09753 | − | 0.143857i | ||||
\(206\) | −8.68856 | + | 5.01634i | −0.605360 | + | 0.349505i | ||||
\(207\) | −7.99183 | + | 20.7856i | −0.555470 | + | 1.44470i | ||||
\(208\) | −0.112258 | − | 0.418953i | −0.00778370 | − | 0.0290492i | ||||
\(209\) | 4.89003 | + | 8.46978i | 0.338251 | + | 0.585867i | ||||
\(210\) | −0.852402 | − | 9.97484i | −0.0588213 | − | 0.688329i | ||||
\(211\) | 0.273339 | − | 0.473437i | 0.0188174 | − | 0.0325927i | −0.856463 | − | 0.516208i | \(-0.827343\pi\) |
0.875281 | + | 0.483615i | \(0.160677\pi\) | |||||||
\(212\) | 1.41244 | + | 0.378462i | 0.0970068 | + | 0.0259929i | ||||
\(213\) | −0.579291 | + | 10.9963i | −0.0396924 | + | 0.753455i | ||||
\(214\) | 1.07653 | + | 0.621534i | 0.0735900 | + | 0.0424872i | ||||
\(215\) | 6.55747 | + | 15.8567i | 0.447216 | + | 1.08141i | ||||
\(216\) | 12.5154 | − | 9.07737i | 0.851565 | − | 0.617637i | ||||
\(217\) | −21.3123 | + | 5.88341i | −1.44677 | + | 0.399392i | ||||
\(218\) | −2.93142 | + | 10.9402i | −0.198541 | + | 0.740965i | ||||
\(219\) | 3.36770 | − | 10.3551i | 0.227568 | − | 0.699736i | ||||
\(220\) | 3.78618 | − | 0.496269i | 0.255265 | − | 0.0334584i | ||||
\(221\) | −0.544784 | −0.0366462 | ||||||||
\(222\) | −5.24762 | + | 8.07582i | −0.352197 | + | 0.542013i | ||||
\(223\) | −25.6042 | − | 6.86061i | −1.71458 | − | 0.459421i | −0.738041 | − | 0.674756i | \(-0.764249\pi\) |
−0.976540 | + | 0.215335i | \(0.930916\pi\) | |||||||
\(224\) | −11.8596 | − | 6.72826i | −0.792400 | − | 0.449551i | ||||
\(225\) | −5.39907 | + | 13.9946i | −0.359938 | + | 0.932976i | ||||
\(226\) | 10.1654 | − | 17.6070i | 0.676193 | − | 1.17120i | ||||
\(227\) | −16.4370 | + | 4.40428i | −1.09096 | + | 0.292323i | −0.759079 | − | 0.650998i | \(-0.774351\pi\) |
−0.331883 | + | 0.943321i | \(0.607684\pi\) | |||||||
\(228\) | −5.90763 | + | 9.09153i | −0.391242 | + | 0.602101i | ||||
\(229\) | −6.99567 | − | 12.1169i | −0.462287 | − | 0.800705i | 0.536787 | − | 0.843717i | \(-0.319638\pi\) |
−0.999075 | + | 0.0430129i | \(0.986304\pi\) | |||||||
\(230\) | 14.9786 | + | 6.21431i | 0.987657 | + | 0.409759i | ||||
\(231\) | −2.26121 | + | 7.13556i | −0.148777 | + | 0.469485i | ||||
\(232\) | −19.3258 | − | 5.17833i | −1.26880 | − | 0.339974i | ||||
\(233\) | 11.8929 | − | 3.18669i | 0.779130 | − | 0.208767i | 0.152729 | − | 0.988268i | \(-0.451194\pi\) |
0.626401 | + | 0.779501i | \(0.284527\pi\) | |||||||
\(234\) | −1.25990 | − | 0.916416i | −0.0823620 | − | 0.0599080i | ||||
\(235\) | 4.37819 | + | 0.578935i | 0.285602 | + | 0.0377656i | ||||
\(236\) | − | 1.15549i | − | 0.0752160i | ||||||
\(237\) | −11.6534 | − | 0.613908i | −0.756970 | − | 0.0398776i | ||||
\(238\) | 1.85913 | − | 1.88742i | 0.120510 | − | 0.122343i | ||||
\(239\) | −6.57367 | − | 3.79531i | −0.425215 | − | 0.245498i | 0.272091 | − | 0.962272i | \(-0.412285\pi\) |
−0.697306 | + | 0.716773i | \(0.745618\pi\) | |||||||
\(240\) | −1.78783 | − | 2.60600i | −0.115404 | − | 0.168217i | ||||
\(241\) | 5.21861 | + | 3.01296i | 0.336160 | + | 0.194082i | 0.658573 | − | 0.752517i | \(-0.271161\pi\) |
−0.322413 | + | 0.946599i | \(0.604494\pi\) | |||||||
\(242\) | −7.86287 | − | 2.10685i | −0.505445 | − | 0.135433i | ||||
\(243\) | 4.05506 | − | 15.0518i | 0.260132 | − | 0.965573i | ||||
\(244\) | −14.3609 | −0.919361 | ||||||||
\(245\) | −5.77921 | + | 14.5465i | −0.369220 | + | 0.929342i | ||||
\(246\) | 2.49048 | + | 11.7325i | 0.158787 | + | 0.748034i | ||||
\(247\) | 3.07414 | + | 0.823714i | 0.195603 | + | 0.0524117i | ||||
\(248\) | −17.5817 | + | 17.5817i | −1.11644 | + | 1.11644i | ||||
\(249\) | 2.09903 | − | 6.45418i | 0.133021 | − | 0.409017i | ||||
\(250\) | 10.0845 | + | 4.19732i | 0.637799 | + | 0.265462i | ||||
\(251\) | 4.81059i | 0.303642i | 0.988408 | + | 0.151821i | \(0.0485137\pi\) | ||||
−0.988408 | + | 0.151821i | \(0.951486\pi\) | |||||||
\(252\) | −8.18682 | + | 1.35552i | −0.515721 | + | 0.0853898i | ||||
\(253\) | −8.57361 | − | 8.57361i | −0.539018 | − | 0.539018i | ||||
\(254\) | − | 2.57079i | − | 0.161306i | ||||||
\(255\) | −3.74291 | + | 1.32189i | −0.234390 | + | 0.0827801i | ||||
\(256\) | −17.0404 | −1.06502 | ||||||||
\(257\) | 4.23796 | − | 15.8163i | 0.264357 | − | 0.986592i | −0.698287 | − | 0.715818i | \(-0.746054\pi\) |
0.962643 | − | 0.270774i | \(-0.0872795\pi\) | |||||||
\(258\) | −11.5718 | + | 5.89218i | −0.720431 | + | 0.366831i | ||||
\(259\) | 12.9835 | − | 7.62726i | 0.806752 | − | 0.473935i | ||||
\(260\) | 0.757022 | − | 0.985408i | 0.0469485 | − | 0.0611124i | ||||
\(261\) | −18.4333 | + | 8.19501i | −1.14099 | + | 0.507258i | ||||
\(262\) | −0.532917 | + | 1.98887i | −0.0329237 | + | 0.122873i | ||||
\(263\) | −8.05555 | + | 2.15848i | −0.496726 | + | 0.133097i | −0.498480 | − | 0.866901i | \(-0.666108\pi\) |
0.00175401 | + | 0.999998i | \(0.499442\pi\) | |||||||
\(264\) | 1.74795 | + | 8.23447i | 0.107579 | + | 0.506797i | ||||
\(265\) | −1.19519 | − | 2.89009i | −0.0734198 | − | 0.177537i | ||||
\(266\) | −13.3446 | + | 7.83942i | −0.818210 | + | 0.480666i | ||||
\(267\) | 26.2775 | + | 17.0749i | 1.60815 | + | 1.04497i | ||||
\(268\) | 4.13238 | + | 4.13238i | 0.252425 | + | 0.252425i | ||||
\(269\) | −1.86662 | − | 3.23307i | −0.113810 | − | 0.197124i | 0.803494 | − | 0.595313i | \(-0.202972\pi\) |
−0.917303 | + | 0.398189i | \(0.869639\pi\) | |||||||
\(270\) | −10.8797 | − | 3.23911i | −0.662117 | − | 0.197126i | ||||
\(271\) | 5.54325 | + | 3.20039i | 0.336728 | + | 0.194410i | 0.658824 | − | 0.752297i | \(-0.271054\pi\) |
−0.322096 | + | 0.946707i | \(0.604387\pi\) | |||||||
\(272\) | 0.216456 | − | 0.807824i | 0.0131246 | − | 0.0489815i | ||||
\(273\) | 1.12161 | + | 2.16223i | 0.0678827 | + | 0.130864i | ||||
\(274\) | 11.4470 | + | 6.60892i | 0.691537 | + | 0.399259i | ||||
\(275\) | −5.76844 | − | 5.78158i | −0.347850 | − | 0.348642i | ||||
\(276\) | 4.15724 | − | 12.7828i | 0.250236 | − | 0.769436i | ||||
\(277\) | 0.148632 | + | 0.554701i | 0.00893041 | + | 0.0333287i | 0.970247 | − | 0.242116i | \(-0.0778415\pi\) |
−0.961317 | + | 0.275445i | \(0.911175\pi\) | |||||||
\(278\) | 3.25825 | + | 12.1600i | 0.195417 | + | 0.729306i | ||||
\(279\) | −2.63407 | + | 24.9310i | −0.157697 | + | 1.49258i | ||||
\(280\) | 2.41939 | + | 17.4357i | 0.144586 | + | 1.04199i | ||||
\(281\) | 2.21693 | + | 3.83984i | 0.132251 | + | 0.229065i | 0.924544 | − | 0.381075i | \(-0.124446\pi\) |
−0.792293 | + | 0.610141i | \(0.791113\pi\) | |||||||
\(282\) | −0.175822 | + | 3.33752i | −0.0104701 | + | 0.198747i | ||||
\(283\) | 5.26619 | − | 5.26619i | 0.313043 | − | 0.313043i | −0.533044 | − | 0.846087i | \(-0.678952\pi\) |
0.846087 | + | 0.533044i | \(0.178952\pi\) | |||||||
\(284\) | − | 6.64670i | − | 0.394409i | ||||||
\(285\) | 23.1194 | − | 1.79998i | 1.36948 | − | 0.106621i | ||||
\(286\) | 0.734609 | − | 0.424127i | 0.0434383 | − | 0.0250791i | ||||
\(287\) | 4.71659 | − | 18.1495i | 0.278412 | − | 1.07133i | ||||
\(288\) | −12.0206 | + | 9.72329i | −0.708322 | + | 0.572950i | ||||
\(289\) | 13.8127 | + | 7.97477i | 0.812513 | + | 0.469104i | ||||
\(290\) | 5.61390 | + | 13.5750i | 0.329660 | + | 0.797152i | ||||
\(291\) | −0.254052 | − | 0.0826228i | −0.0148928 | − | 0.00484343i | ||||
\(292\) | −1.70115 | + | 6.34877i | −0.0995521 | + | 0.371533i | ||||
\(293\) | −4.98512 | − | 18.6047i | −0.291234 | − | 1.08690i | −0.944163 | − | 0.329480i | \(-0.893127\pi\) |
0.652929 | − | 0.757419i | \(-0.273540\pi\) | |||||||
\(294\) | −11.3187 | − | 3.49300i | −0.660119 | − | 0.203716i | ||||
\(295\) | −1.96151 | + | 1.50334i | −0.114203 | + | 0.0875281i | ||||
\(296\) | 8.46716 | − | 14.6656i | 0.492144 | − | 0.852418i | ||||
\(297\) | 6.59167 | + | 5.34674i | 0.382487 | + | 0.310249i | ||||
\(298\) | −0.926280 | + | 3.45692i | −0.0536580 | + | 0.200254i | ||||
\(299\) | −3.94564 | −0.228182 | ||||||||
\(300\) | 2.81003 | − | 8.60707i | 0.162237 | − | 0.496929i | ||||
\(301\) | 20.3023 | − | 0.153271i | 1.17021 | − | 0.00883439i | ||||
\(302\) | −0.505047 | − | 1.88486i | −0.0290622 | − | 0.108462i | ||||
\(303\) | 7.68482 | − | 11.8265i | 0.441481 | − | 0.679417i | ||||
\(304\) | −2.44286 | + | 4.23116i | −0.140108 | + | 0.242674i | ||||
\(305\) | 18.6841 | + | 24.3783i | 1.06985 | + | 1.39590i | ||||
\(306\) | −1.22035 | − | 2.74496i | −0.0697625 | − | 0.156919i | ||||
\(307\) | 6.54479 | + | 6.54479i | 0.373531 | + | 0.373531i | 0.868761 | − | 0.495231i | \(-0.164916\pi\) |
−0.495231 | + | 0.868761i | \(0.664916\pi\) | |||||||
\(308\) | 1.13641 | − | 4.37294i | 0.0647532 | − | 0.249172i | ||||
\(309\) | 5.50088 | − | 16.9143i | 0.312934 | − | 0.962221i | ||||
\(310\) | 18.0985 | + | 2.39319i | 1.02792 | + | 0.135924i | ||||
\(311\) | 24.6330i | 1.39681i | 0.715702 | + | 0.698406i | \(0.246107\pi\) | ||||
−0.715702 | + | 0.698406i | \(0.753893\pi\) | |||||||
\(312\) | 2.29699 | + | 1.49257i | 0.130042 | + | 0.0845003i | ||||
\(313\) | −17.9429 | + | 17.9429i | −1.01419 | + | 1.01419i | −0.0142930 | + | 0.999898i | \(0.504550\pi\) |
−0.999898 | + | 0.0142930i | \(0.995450\pi\) | |||||||
\(314\) | 8.25401 | 0.465801 | ||||||||
\(315\) | 12.9525 | + | 12.1340i | 0.729790 | + | 0.683672i | ||||
\(316\) | 7.04388 | 0.396249 | ||||||||
\(317\) | −7.53443 | + | 7.53443i | −0.423176 | + | 0.423176i | −0.886296 | − | 0.463120i | \(-0.846730\pi\) |
0.463120 | + | 0.886296i | \(0.346730\pi\) | |||||||
\(318\) | 2.10912 | − | 1.07393i | 0.118274 | − | 0.0602229i | ||||
\(319\) | − | 10.9836i | − | 0.614962i | ||||||
\(320\) | 9.06864 | + | 11.8324i | 0.506952 | + | 0.661452i | ||||
\(321\) | −2.15573 | + | 0.457601i | −0.120321 | + | 0.0255408i | ||||
\(322\) | 13.4649 | − | 13.6697i | 0.750369 | − | 0.761785i | ||||
\(323\) | 4.33927 | + | 4.33927i | 0.241444 | + | 0.241444i | ||||
\(324\) | −1.96633 | + | 9.20162i | −0.109241 | + | 0.511201i | ||||
\(325\) | −2.65770 | − | 0.00302479i | −0.147423 | − | 0.000167785i | ||||
\(326\) | 1.08321 | − | 1.87617i | 0.0599932 | − | 0.103911i | ||||
\(327\) | −9.11100 | − | 17.8934i | −0.503839 | − | 0.989506i | ||||
\(328\) | −5.45823 | − | 20.3704i | −0.301380 | − | 1.12477i | ||||
\(329\) | 2.57848 | − | 4.54496i | 0.142156 | − | 0.250572i | ||||
\(330\) | 4.01797 | − | 4.69643i | 0.221182 | − | 0.258530i | ||||
\(331\) | 6.24703 | 0.343368 | 0.171684 | − | 0.985152i | \(-0.445079\pi\) | ||||
0.171684 | + | 0.985152i | \(0.445079\pi\) | |||||||
\(332\) | −1.06029 | + | 3.95707i | −0.0581912 | + | 0.217173i | ||||
\(333\) | −2.66182 | − | 16.8655i | −0.145867 | − | 0.924222i | ||||
\(334\) | −0.664051 | + | 1.15017i | −0.0363352 | + | 0.0629345i | ||||
\(335\) | 1.63853 | − | 12.3913i | 0.0895222 | − | 0.677011i | ||||
\(336\) | −3.65187 | + | 0.804049i | −0.199226 | + | 0.0438645i | ||||
\(337\) | −3.31266 | − | 12.3630i | −0.180452 | − | 0.673457i | −0.995558 | − | 0.0941452i | \(-0.969988\pi\) |
0.815106 | − | 0.579311i | \(-0.196678\pi\) | |||||||
\(338\) | −3.21579 | + | 12.0015i | −0.174916 | + | 0.652796i | ||||
\(339\) | 7.48422 | + | 35.2577i | 0.406487 | + | 1.91493i | ||||
\(340\) | 2.21416 | − | 0.915659i | 0.120080 | − | 0.0496586i | ||||
\(341\) | −11.8211 | − | 6.82491i | −0.640148 | − | 0.369590i | ||||
\(342\) | 2.73587 | + | 17.3346i | 0.147939 | + | 0.937348i | ||||
\(343\) | 13.3890 | + | 12.7959i | 0.722939 | + | 0.690912i | ||||
\(344\) | 19.7737 | − | 11.4163i | 1.06613 | − | 0.615528i | ||||
\(345\) | −27.1083 | + | 9.57390i | −1.45946 | + | 0.515441i | ||||
\(346\) | 2.00357i | 0.107712i | ||||||||
\(347\) | −9.47519 | + | 9.47519i | −0.508655 | + | 0.508655i | −0.914113 | − | 0.405459i | \(-0.867112\pi\) |
0.405459 | + | 0.914113i | \(0.367112\pi\) | |||||||
\(348\) | 10.8509 | − | 5.52509i | 0.581669 | − | 0.296176i | ||||
\(349\) | 15.4350 | + | 26.7341i | 0.826215 | + | 1.43105i | 0.900987 | + | 0.433846i | \(0.142844\pi\) |
−0.0747724 | + | 0.997201i | \(0.523823\pi\) | |||||||
\(350\) | 9.08015 | − | 9.19733i | 0.485355 | − | 0.491618i | ||||
\(351\) | 2.74707 | − | 0.286463i | 0.146628 | − | 0.0152902i | ||||
\(352\) | −2.17874 | − | 8.13118i | −0.116127 | − | 0.433394i | ||||
\(353\) | −4.25417 | − | 15.8768i | −0.226426 | − | 0.845035i | −0.981828 | − | 0.189773i | \(-0.939225\pi\) |
0.755402 | − | 0.655262i | \(-0.227442\pi\) | |||||||
\(354\) | −1.25107 | − | 1.39021i | −0.0664934 | − | 0.0738888i | ||||
\(355\) | −11.2831 | + | 8.64765i | −0.598846 | + | 0.458970i | ||||
\(356\) | −16.3816 | − | 9.45792i | −0.868223 | − | 0.501269i | ||||
\(357\) | −0.211670 | + | 4.69198i | −0.0112028 | + | 0.248326i | ||||
\(358\) | −4.26376 | + | 15.9126i | −0.225347 | + | 0.841005i | ||||
\(359\) | 1.40486 | + | 0.811094i | 0.0741455 | + | 0.0428079i | 0.536614 | − | 0.843828i | \(-0.319703\pi\) |
−0.462469 | + | 0.886635i | \(0.653036\pi\) | |||||||
\(360\) | 19.4030 | + | 4.68110i | 1.02263 | + | 0.246716i | ||||
\(361\) | −8.42494 | − | 14.5924i | −0.443418 | − | 0.768022i | ||||
\(362\) | −14.0708 | − | 14.0708i | −0.739546 | − | 0.739546i | ||||
\(363\) | 12.8602 | − | 6.54819i | 0.674986 | − | 0.343691i | ||||
\(364\) | −0.744737 | − | 1.26772i | −0.0390348 | − | 0.0664468i | ||||
\(365\) | 12.9906 | − | 5.37224i | 0.679961 | − | 0.281196i | ||||
\(366\) | −17.2780 | + | 15.5487i | −0.903138 | + | 0.812744i | ||||
\(367\) | 2.34101 | − | 0.627271i | 0.122200 | − | 0.0327433i | −0.197201 | − | 0.980363i | \(-0.563185\pi\) |
0.319401 | + | 0.947620i | \(0.396518\pi\) | |||||||
\(368\) | 1.56770 | − | 5.85072i | 0.0817218 | − | 0.304990i | ||||
\(369\) | −17.1955 | − | 12.5076i | −0.895161 | − | 0.651117i | ||||
\(370\) | −12.3281 | + | 1.61589i | −0.640909 | + | 0.0840063i | ||||
\(371\) | −3.70037 | + | 0.0279357i | −0.192114 | + | 0.00145035i | ||||
\(372\) | 0.796078 | − | 15.1114i | 0.0412747 | − | 0.783492i | ||||
\(373\) | −8.27835 | + | 30.8952i | −0.428637 | + | 1.59969i | 0.327214 | + | 0.944950i | \(0.393890\pi\) |
−0.755851 | + | 0.654744i | \(0.772777\pi\) | |||||||
\(374\) | 1.63560 | 0.0845749 | ||||||||
\(375\) | −18.2669 | + | 6.42800i | −0.943300 | + | 0.331941i | ||||
\(376\) | − | 5.87654i | − | 0.303060i | ||||||
\(377\) | −2.52736 | − | 2.52736i | −0.130166 | − | 0.130166i | ||||
\(378\) | −8.38220 | + | 10.4949i | −0.431134 | + | 0.539797i | ||||
\(379\) | − | 30.9678i | − | 1.59071i | −0.606146 | − | 0.795353i | \(-0.707285\pi\) | ||
0.606146 | − | 0.795353i | \(-0.292715\pi\) | |||||||
\(380\) | −13.8787 | + | 1.81913i | −0.711961 | + | 0.0933193i | ||||
\(381\) | 3.04871 | + | 3.38778i | 0.156190 | + | 0.173561i | ||||
\(382\) | −11.9059 | + | 11.9059i | −0.609161 | + | 0.609161i | ||||
\(383\) | 18.1872 | + | 4.87326i | 0.929324 | + | 0.249012i | 0.691567 | − | 0.722313i | \(-0.256921\pi\) |
0.237758 | + | 0.971324i | \(0.423588\pi\) | |||||||
\(384\) | 4.88418 | − | 4.39533i | 0.249245 | − | 0.224298i | ||||
\(385\) | −8.90183 | + | 3.76027i | −0.453679 | + | 0.191641i | ||||
\(386\) | −10.5681 | −0.537900 | ||||||||
\(387\) | 8.26179 | − | 21.4878i | 0.419971 | − | 1.09228i | ||||
\(388\) | 0.155760 | + | 0.0417357i | 0.00790750 | + | 0.00211881i | ||||
\(389\) | 20.5140 | + | 11.8438i | 1.04010 | + | 0.600503i | 0.919862 | − | 0.392242i | \(-0.128300\pi\) |
0.120240 | + | 0.992745i | \(0.461634\pi\) | |||||||
\(390\) | −0.156117 | − | 2.00522i | −0.00790530 | − | 0.101538i | ||||
\(391\) | −6.58870 | − | 3.80399i | −0.333205 | − | 0.192376i | ||||
\(392\) | 20.1973 | + | 5.08630i | 1.02012 | + | 0.256897i | ||||
\(393\) | −1.65633 | − | 3.25292i | −0.0835508 | − | 0.164088i | ||||
\(394\) | 6.44611i | 0.324750i | ||||||||
\(395\) | −9.16440 | − | 11.9574i | −0.461111 | − | 0.601640i | ||||
\(396\) | −4.14308 | − | 3.01357i | −0.208197 | − | 0.151437i | ||||
\(397\) | −23.2158 | + | 6.22065i | −1.16517 | + | 0.312205i | −0.789027 | − | 0.614358i | \(-0.789415\pi\) |
−0.376139 | + | 0.926563i | \(0.622748\pi\) | |||||||
\(398\) | 4.87551 | + | 1.30639i | 0.244387 | + | 0.0654834i | ||||
\(399\) | 8.28870 | − | 26.1562i | 0.414954 | − | 1.30945i | ||||
\(400\) | 1.06045 | − | 3.93973i | 0.0530227 | − | 0.196986i | ||||
\(401\) | −17.1072 | − | 29.6306i | −0.854295 | − | 1.47968i | −0.877298 | − | 0.479947i | \(-0.840656\pi\) |
0.0230028 | − | 0.999735i | \(-0.492677\pi\) | |||||||
\(402\) | 9.44599 | + | 0.497620i | 0.471123 | + | 0.0248190i | ||||
\(403\) | −4.29051 | + | 1.14964i | −0.213726 | + | 0.0572676i | ||||
\(404\) | −4.25667 | + | 7.37277i | −0.211777 | + | 0.366809i | ||||
\(405\) | 18.1785 | − | 8.63376i | 0.903297 | − | 0.429015i | ||||
\(406\) | 17.3810 | − | 0.131216i | 0.862603 | − | 0.00651216i | ||||
\(407\) | 8.97969 | + | 2.40610i | 0.445107 | + | 0.119266i | ||||
\(408\) | 2.39669 | + | 4.70693i | 0.118654 | + | 0.233028i | ||||
\(409\) | 0.0910287 | 0.00450108 | 0.00225054 | − | 0.999997i | \(-0.499284\pi\) | ||||
0.00225054 | + | 0.999997i | \(0.499284\pi\) | |||||||
\(410\) | −9.43306 | + | 12.2789i | −0.465866 | + | 0.606413i | ||||
\(411\) | −22.9223 | + | 4.86578i | −1.13068 | + | 0.240011i | ||||
\(412\) | −2.77869 | + | 10.3702i | −0.136896 | + | 0.510903i | ||||
\(413\) | 0.778123 | + | 2.81870i | 0.0382889 | + | 0.138699i | ||||
\(414\) | −8.83844 | − | 19.8806i | −0.434386 | − | 0.977076i | ||||
\(415\) | 8.09683 | − | 3.34842i | 0.397458 | − | 0.164367i | ||||
\(416\) | −2.37235 | − | 1.36968i | −0.116314 | − | 0.0671540i | ||||
\(417\) | −18.7142 | − | 12.1604i | −0.916440 | − | 0.595498i | ||||
\(418\) | −9.22947 | − | 2.47303i | −0.451428 | − | 0.120960i | ||||
\(419\) | −13.7216 | + | 23.7665i | −0.670343 | + | 1.16107i | 0.307464 | + | 0.951560i | \(0.400520\pi\) |
−0.977807 | + | 0.209508i | \(0.932814\pi\) | |||||||
\(420\) | −8.19275 | − | 6.90276i | −0.399765 | − | 0.336820i | ||||
\(421\) | −5.94319 | − | 10.2939i | −0.289653 | − | 0.501695i | 0.684074 | − | 0.729413i | \(-0.260207\pi\) |
−0.973727 | + | 0.227719i | \(0.926873\pi\) | |||||||
\(422\) | 0.138235 | + | 0.515901i | 0.00672919 | + | 0.0251137i | ||||
\(423\) | −3.72628 | − | 4.60669i | −0.181178 | − | 0.223985i | ||||
\(424\) | −3.60402 | + | 2.08078i | −0.175027 | + | 0.101052i | ||||
\(425\) | −4.43510 | − | 2.56734i | −0.215134 | − | 0.124534i | ||||
\(426\) | −7.19648 | − | 7.99687i | −0.348670 | − | 0.387450i | ||||
\(427\) | 35.0319 | − | 9.67081i | 1.69531 | − | 0.468003i | ||||
\(428\) | 1.28489 | − | 0.344285i | 0.0621074 | − | 0.0166416i | ||||
\(429\) | −0.465094 | + | 1.43009i | −0.0224549 | + | 0.0690453i | ||||
\(430\) | −15.4845 | − | 6.42423i | −0.746731 | − | 0.309804i | ||||
\(431\) | −11.1221 | − | 19.2640i | −0.535732 | − | 0.927915i | −0.999128 | − | 0.0417634i | \(-0.986702\pi\) |
0.463396 | − | 0.886152i | \(-0.346631\pi\) | |||||||
\(432\) | −0.666701 | + | 4.18727i | −0.0320766 | + | 0.201460i | ||||
\(433\) | −5.23695 | + | 5.23695i | −0.251672 | + | 0.251672i | −0.821656 | − | 0.569984i | \(-0.806949\pi\) |
0.569984 | + | 0.821656i | \(0.306949\pi\) | |||||||
\(434\) | 10.6589 | − | 18.7878i | 0.511642 | − | 0.901845i | ||||
\(435\) | −23.4966 | − | 11.2316i | −1.12658 | − | 0.538513i | ||||
\(436\) | 6.06008 | + | 10.4964i | 0.290225 | + | 0.502685i | ||||
\(437\) | 31.4275 | + | 31.4275i | 1.50338 | + | 1.50338i | ||||
\(438\) | 4.82719 | + | 9.48027i | 0.230652 | + | 0.452985i | ||||
\(439\) | −19.5501 | −0.933075 | −0.466538 | − | 0.884501i | \(-0.654499\pi\) | ||||
−0.466538 | + | 0.884501i | \(0.654499\pi\) | |||||||
\(440\) | −6.62064 | + | 8.61802i | −0.315626 | + | 0.410848i | ||||
\(441\) | 19.0581 | − | 8.81978i | 0.907529 | − | 0.419989i | ||||
\(442\) | 0.376358 | − | 0.376358i | 0.0179015 | − | 0.0179015i | ||||
\(443\) | −26.5025 | − | 26.5025i | −1.25917 | − | 1.25917i | −0.951488 | − | 0.307685i | \(-0.900446\pi\) |
−0.307685 | − | 0.951488i | \(-0.599554\pi\) | |||||||
\(444\) | 2.14004 | + | 10.0816i | 0.101562 | + | 0.478450i | ||||
\(445\) | 5.25786 | + | 40.1138i | 0.249247 | + | 1.90158i | ||||
\(446\) | 22.4279 | − | 12.9488i | 1.06199 | − | 0.613141i | ||||
\(447\) | −2.87892 | − | 5.65401i | −0.136168 | − | 0.267425i | ||||
\(448\) | 17.0033 | − | 4.69388i | 0.803330 | − | 0.221765i | ||||
\(449\) | 18.6203i | 0.878748i | 0.898304 | + | 0.439374i | \(0.144800\pi\) | ||||
−0.898304 | + | 0.439374i | \(0.855200\pi\) | |||||||
\(450\) | −5.93815 | − | 13.3979i | −0.279927 | − | 0.631584i | ||||
\(451\) | 10.0262 | − | 5.78862i | 0.472115 | − | 0.272576i | ||||
\(452\) | −5.63090 | − | 21.0148i | −0.264855 | − | 0.988452i | ||||
\(453\) | 2.90081 | + | 1.88493i | 0.136292 | + | 0.0885617i | ||||
\(454\) | 8.31267 | − | 14.3980i | 0.390133 | − | 0.675730i | ||||
\(455\) | −1.18309 | + | 2.91359i | −0.0554642 | + | 0.136591i | ||||
\(456\) | −6.40730 | − | 30.1843i | −0.300049 | − | 1.41351i | ||||
\(457\) | −20.6389 | + | 20.6389i | −0.965445 | + | 0.965445i | −0.999423 | − | 0.0339772i | \(-0.989183\pi\) |
0.0339772 | + | 0.999423i | \(0.489183\pi\) | |||||||
\(458\) | 13.2037 | + | 3.53791i | 0.616967 | + | 0.165316i | ||||
\(459\) | 4.86342 | + | 2.17009i | 0.227005 | + | 0.101291i | ||||
\(460\) | 16.0362 | − | 6.63172i | 0.747691 | − | 0.309206i | ||||
\(461\) | 13.2237 | − | 7.63473i | 0.615891 | − | 0.355585i | −0.159377 | − | 0.987218i | \(-0.550948\pi\) |
0.775267 | + | 0.631633i | \(0.217615\pi\) | |||||||
\(462\) | −3.36739 | − | 6.49165i | −0.156665 | − | 0.302019i | ||||
\(463\) | 39.9841 | − | 10.7137i | 1.85822 | − | 0.497908i | 0.858333 | − | 0.513092i | \(-0.171500\pi\) |
0.999885 | + | 0.0151842i | \(0.00483345\pi\) | |||||||
\(464\) | 4.75184 | − | 2.74347i | 0.220599 | − | 0.127363i | ||||
\(465\) | −26.6882 | + | 18.3093i | −1.23764 | + | 0.849072i | ||||
\(466\) | −6.01458 | + | 10.4176i | −0.278620 | + | 0.482584i | ||||
\(467\) | 17.4657 | − | 4.67993i | 0.808217 | − | 0.216561i | 0.169029 | − | 0.985611i | \(-0.445937\pi\) |
0.639189 | + | 0.769050i | \(0.279270\pi\) | |||||||
\(468\) | −1.64677 | + | 0.259905i | −0.0761220 | + | 0.0120141i | ||||
\(469\) | −12.8633 | − | 7.29773i | −0.593973 | − | 0.336978i | ||||
\(470\) | −3.42457 | + | 2.62467i | −0.157964 | + | 0.121067i | ||||
\(471\) | −10.8771 | + | 9.78845i | −0.501191 | + | 0.451028i | ||||
\(472\) | 2.32531 | + | 2.32531i | 0.107031 | + | 0.107031i | ||||
\(473\) | 8.86323 | + | 8.86323i | 0.407532 | + | 0.407532i | ||||
\(474\) | 8.47473 | − | 7.62651i | 0.389257 | − | 0.350297i | ||||
\(475\) | 21.1448 | + | 21.1930i | 0.970191 | + | 0.972402i | ||||
\(476\) | −0.0214021 | − | 2.83493i | −0.000980965 | − | 0.129939i | ||||
\(477\) | −1.50582 | + | 3.91643i | −0.0689469 | + | 0.179321i | ||||
\(478\) | 7.16329 | − | 1.91940i | 0.327641 | − | 0.0877912i | ||||
\(479\) | 4.07569 | − | 7.05931i | 0.186223 | − | 0.322548i | −0.757765 | − | 0.652528i | \(-0.773709\pi\) |
0.943988 | + | 0.329980i | \(0.107042\pi\) | |||||||
\(480\) | −19.6226 | − | 3.65390i | −0.895644 | − | 0.166777i | ||||
\(481\) | 2.61991 | − | 1.51261i | 0.119458 | − | 0.0689690i | ||||
\(482\) | −5.68668 | + | 1.52374i | −0.259021 | + | 0.0694045i | ||||
\(483\) | −1.53303 | + | 33.9820i | −0.0697555 | + | 1.54623i | ||||
\(484\) | −7.54388 | + | 4.35546i | −0.342903 | + | 0.197975i | ||||
\(485\) | −0.131802 | − | 0.318710i | −0.00598481 | − | 0.0144719i | ||||
\(486\) | 7.59696 | + | 13.1997i | 0.344605 | + | 0.598753i | ||||
\(487\) | 3.93080 | + | 1.05326i | 0.178122 | + | 0.0477276i | 0.346777 | − | 0.937947i | \(-0.387276\pi\) |
−0.168656 | + | 0.985675i | \(0.553943\pi\) | |||||||
\(488\) | 28.8999 | − | 28.8999i | 1.30824 | − | 1.30824i | ||||
\(489\) | 0.797504 | + | 3.75699i | 0.0360644 | + | 0.169897i | ||||
\(490\) | −6.05678 | − | 14.0418i | −0.273618 | − | 0.634343i | ||||
\(491\) | 14.1237 | − | 24.4629i | 0.637392 | − | 1.10399i | −0.348612 | − | 0.937267i | \(-0.613347\pi\) |
0.986003 | − | 0.166727i | \(-0.0533199\pi\) | |||||||
\(492\) | 10.7622 | + | 6.99321i | 0.485197 | + | 0.315278i | ||||
\(493\) | −1.78373 | − | 6.65699i | −0.0803354 | − | 0.299816i | ||||
\(494\) | −2.69279 | + | 1.55468i | −0.121154 | + | 0.0699485i | ||||
\(495\) | 0.274637 | + | 10.9539i | 0.0123440 | + | 0.492340i | ||||
\(496\) | − | 6.81890i | − | 0.306178i | ||||||
\(497\) | 4.47598 | + | 16.2140i | 0.200775 | + | 0.727296i | ||||
\(498\) | 3.00870 | + | 5.90888i | 0.134823 | + | 0.264783i | ||||
\(499\) | 21.4496 | − | 12.3840i | 0.960218 | − | 0.554382i | 0.0639775 | − | 0.997951i | \(-0.479621\pi\) |
0.896240 | + | 0.443569i | \(0.146288\pi\) | |||||||
\(500\) | 10.8067 | − | 4.45470i | 0.483292 | − | 0.199220i | ||||
\(501\) | −0.488904 | − | 2.30319i | −0.0218426 | − | 0.102899i | ||||
\(502\) | −3.32334 | − | 3.32334i | −0.148328 | − | 0.148328i | ||||
\(503\) | −22.1184 | + | 22.1184i | −0.986211 | + | 0.986211i | −0.999906 | − | 0.0136949i | \(-0.995641\pi\) |
0.0136949 | + | 0.999906i | \(0.495641\pi\) | |||||||
\(504\) | 13.7473 | − | 19.2030i | 0.612355 | − | 0.855371i | ||||
\(505\) | 18.0538 | − | 2.36638i | 0.803383 | − | 0.105302i | ||||
\(506\) | 11.8460 | 0.526617 | ||||||||
\(507\) | −9.99484 | − | 19.6292i | −0.443887 | − | 0.871763i | ||||
\(508\) | −1.94526 | − | 1.94526i | −0.0863071 | − | 0.0863071i | ||||
\(509\) | −0.687693 | − | 1.19112i | −0.0304815 | − | 0.0527955i | 0.850382 | − | 0.526165i | \(-0.176371\pi\) |
−0.880864 | + | 0.473370i | \(0.843037\pi\) | |||||||
\(510\) | 1.67253 | − | 3.49896i | 0.0740610 | − | 0.154937i | ||||
\(511\) | −0.125568 | − | 16.6328i | −0.00555480 | − | 0.735790i | ||||
\(512\) | 6.40718 | − | 6.40718i | 0.283160 | − | 0.283160i | ||||
\(513\) | −24.1625 | − | 19.5990i | −1.06680 | − | 0.865319i | ||||
\(514\) | 7.99874 | + | 13.8542i | 0.352809 | + | 0.611084i | ||||
\(515\) | 21.2192 | − | 8.77512i | 0.935028 | − | 0.386678i | ||||
\(516\) | −4.29767 | + | 13.2146i | −0.189194 | + | 0.581742i | ||||
\(517\) | 3.11613 | − | 0.834965i | 0.137047 | − | 0.0367217i | ||||
\(518\) | −3.70026 | + | 14.2387i | −0.162580 | + | 0.625611i | ||||
\(519\) | −2.37603 | − | 2.64030i | −0.104296 | − | 0.115896i | ||||
\(520\) | 0.459606 | + | 3.50647i | 0.0201551 | + | 0.153769i | ||||
\(521\) | −22.4862 | + | 12.9824i | −0.985140 | + | 0.568771i | −0.903818 | − | 0.427917i | \(-0.859248\pi\) |
−0.0813222 | + | 0.996688i | \(0.525914\pi\) | |||||||
\(522\) | 7.07298 | − | 18.3958i | 0.309576 | − | 0.805164i | ||||
\(523\) | 0.697525 | + | 2.60320i | 0.0305006 | + | 0.113830i | 0.979498 | − | 0.201454i | \(-0.0645668\pi\) |
−0.948997 | + | 0.315284i | \(0.897900\pi\) | |||||||
\(524\) | 1.10169 | + | 1.90818i | 0.0481276 | + | 0.0833594i | ||||
\(525\) | −1.05867 | + | 22.8884i | −0.0462042 | + | 0.998932i | ||||
\(526\) | 4.07392 | − | 7.05624i | 0.177631 | − | 0.307667i | ||||
\(527\) | −8.27296 | − | 2.21673i | −0.360376 | − | 0.0965624i | ||||
\(528\) | −1.93579 | − | 1.25787i | −0.0842444 | − | 0.0547416i | ||||
\(529\) | −27.8005 | − | 16.0506i | −1.20872 | − | 0.697853i | ||||
\(530\) | 2.82226 | + | 1.17090i | 0.122591 | + | 0.0508607i | ||||
\(531\) | 3.29731 | + | 0.348374i | 0.143091 | + | 0.0151182i | ||||
\(532\) | −4.16565 | + | 16.0295i | −0.180604 | + | 0.694967i | ||||
\(533\) | 0.975080 | − | 3.63905i | 0.0422354 | − | 0.157625i | ||||
\(534\) | −29.9495 | + | 6.35745i | −1.29604 | + | 0.275114i | ||||
\(535\) | −2.25614 | − | 1.73324i | −0.0975414 | − | 0.0749343i | ||||
\(536\) | −16.6320 | −0.718394 | ||||||||
\(537\) | −13.2520 | − | 26.0260i | −0.571865 | − | 1.12310i | ||||
\(538\) | 3.52306 | + | 0.944001i | 0.151890 | + | 0.0406988i | ||||
\(539\) | 0.172630 | + | 11.4326i | 0.00743569 | + | 0.492439i | ||||
\(540\) | −10.6834 | + | 5.78147i | −0.459740 | + | 0.248795i | ||||
\(541\) | −10.0369 | + | 17.3845i | −0.431522 | + | 0.747418i | −0.997005 | − | 0.0773420i | \(-0.975357\pi\) |
0.565482 | + | 0.824760i | \(0.308690\pi\) | |||||||
\(542\) | −6.04044 | + | 1.61853i | −0.259459 | + | 0.0695219i | ||||
\(543\) | 35.2291 | + | 1.85589i | 1.51183 | + | 0.0796438i | ||||
\(544\) | −2.64101 | − | 4.57437i | −0.113232 | − | 0.196124i | ||||
\(545\) | 9.93371 | − | 23.9435i | 0.425513 | − | 1.02563i | ||||
\(546\) | −2.26860 | − | 0.718903i | −0.0970871 | − | 0.0307662i | ||||
\(547\) | 14.4892 | + | 3.88238i | 0.619515 | + | 0.165999i | 0.554907 | − | 0.831912i | \(-0.312754\pi\) |
0.0646077 | + | 0.997911i | \(0.479420\pi\) | |||||||
\(548\) | 13.6625 | − | 3.66086i | 0.583634 | − | 0.156384i | ||||
\(549\) | 4.32973 | − | 40.9802i | 0.184788 | − | 1.74899i | ||||
\(550\) | 7.97919 | + | 0.00908129i | 0.340234 | + | 0.000387228i | ||||
\(551\) | 40.2615i | 1.71520i | ||||||||
\(552\) | 17.3582 | + | 34.0903i | 0.738813 | + | 1.45098i | ||||
\(553\) | −17.1829 | + | 4.74345i | −0.730689 | + | 0.201712i | ||||
\(554\) | −0.485889 | − | 0.280528i | −0.0206434 | − | 0.0119185i | ||||
\(555\) | 14.3297 | − | 16.7494i | 0.608262 | − | 0.710972i | ||||
\(556\) | 11.6666 | + | 6.73573i | 0.494775 | + | 0.285659i | ||||
\(557\) | 0.236144 | + | 0.0632745i | 0.0100057 | + | 0.00268103i | 0.263818 | − | 0.964572i | \(-0.415018\pi\) |
−0.253813 | + | 0.967253i | \(0.581685\pi\) | |||||||
\(558\) | −15.4036 | − | 19.0430i | −0.652086 | − | 0.806155i | ||||
\(559\) | 4.07892 | 0.172520 | ||||||||
\(560\) | −3.85030 | − | 2.91197i | −0.162705 | − | 0.123053i | ||||
\(561\) | −2.15539 | + | 1.93966i | −0.0910008 | + | 0.0818926i | ||||
\(562\) | −4.18424 | − | 1.12117i | −0.176502 | − | 0.0472935i | ||||
\(563\) | 0.0555045 | − | 0.0555045i | 0.00233924 | − | 0.00233924i | −0.705936 | − | 0.708275i | \(-0.749473\pi\) |
0.708275 | + | 0.705936i | \(0.249473\pi\) | |||||||
\(564\) | 2.39239 | + | 2.65847i | 0.100738 | + | 0.111942i | ||||
\(565\) | −28.3477 | + | 36.8999i | −1.19260 | + | 1.55239i | ||||
\(566\) | 7.27618i | 0.305840i | ||||||||
\(567\) | −1.39983 | − | 23.7706i | −0.0587873 | − | 0.998271i | ||||
\(568\) | 13.3758 | + | 13.3758i | 0.561238 | + | 0.561238i | ||||
\(569\) | − | 14.7549i | − | 0.618556i | −0.950972 | − | 0.309278i | \(-0.899913\pi\) | ||
0.950972 | − | 0.309278i | \(-0.100087\pi\) | |||||||
\(570\) | −14.7283 | + | 17.2153i | −0.616901 | + | 0.721069i | ||||
\(571\) | −29.5516 | −1.23669 | −0.618347 | − | 0.785905i | \(-0.712197\pi\) | ||||
−0.618347 | + | 0.785905i | \(0.712197\pi\) | |||||||
\(572\) | 0.234935 | − | 0.876791i | 0.00982314 | − | 0.0366605i | ||||
\(573\) | 1.57035 | − | 29.8089i | 0.0656023 | − | 1.24529i | ||||
\(574\) | 9.27999 | + | 15.7968i | 0.387339 | + | 0.659345i | ||||
\(575\) | −32.1215 | − | 18.5941i | −1.33956 | − | 0.775429i | ||||
\(576\) | 2.10150 | − | 19.8904i | 0.0875626 | − | 0.828766i | ||||
\(577\) | −2.16353 | + | 8.07441i | −0.0900690 | + | 0.336142i | −0.996226 | − | 0.0867998i | \(-0.972336\pi\) |
0.906157 | + | 0.422942i | \(0.139003\pi\) | |||||||
\(578\) | −15.0516 | + | 4.03307i | −0.626065 | + | 0.167754i | ||||
\(579\) | 13.9266 | − | 12.5327i | 0.578768 | − | 0.520840i | ||||
\(580\) | 14.5198 | + | 6.02400i | 0.602903 | + | 0.250133i | ||||
\(581\) | −0.0782642 | − | 10.3669i | −0.00324695 | − | 0.430091i | ||||
\(582\) | 0.232588 | − | 0.118430i | 0.00964106 | − | 0.00490907i | ||||
\(583\) | −1.61544 | − | 1.61544i | −0.0669048 | − | 0.0669048i | ||||
\(584\) | −9.35288 | − | 16.1997i | −0.387025 | − | 0.670347i | ||||
\(585\) | 2.58372 | + | 2.45733i | 0.106824 | + | 0.101598i | ||||
\(586\) | 16.2968 | + | 9.40894i | 0.673213 | + | 0.388680i | ||||
\(587\) | 2.34352 | − | 8.74614i | 0.0967275 | − | 0.360992i | −0.900548 | − | 0.434756i | \(-0.856835\pi\) |
0.997276 | + | 0.0737643i | \(0.0235013\pi\) | |||||||
\(588\) | −11.2077 | + | 5.92152i | −0.462197 | + | 0.244200i | ||||
\(589\) | 43.3315 | + | 25.0175i | 1.78544 | + | 1.03083i | ||||
\(590\) | 0.316516 | − | 2.39365i | 0.0130308 | − | 0.0985450i | ||||
\(591\) | −7.64445 | − | 8.49467i | −0.314451 | − | 0.349424i | ||||
\(592\) | 1.20199 | + | 4.48589i | 0.0494015 | + | 0.184369i | ||||
\(593\) | −7.48847 | − | 27.9474i | −0.307515 | − | 1.14766i | −0.930759 | − | 0.365633i | \(-0.880852\pi\) |
0.623244 | − | 0.782027i | \(-0.285814\pi\) | |||||||
\(594\) | −8.24750 | + | 0.860044i | −0.338399 | + | 0.0352880i | ||||
\(595\) | −4.78460 | + | 3.72470i | −0.196150 | + | 0.152698i | ||||
\(596\) | 1.91489 | + | 3.31668i | 0.0784367 | + | 0.135856i | ||||
\(597\) | −7.97419 | + | 4.06032i | −0.326362 | + | 0.166178i | ||||
\(598\) | 2.72580 | − | 2.72580i | 0.111466 | − | 0.111466i | ||||
\(599\) | 10.0498i | 0.410625i | 0.978696 | + | 0.205313i | \(0.0658211\pi\) | ||||
−0.978696 | + | 0.205313i | \(0.934179\pi\) | |||||||
\(600\) | 11.6660 | + | 22.9758i | 0.476262 | + | 0.937984i | ||||
\(601\) | 27.4153 | − | 15.8282i | 1.11829 | − | 0.645647i | 0.177329 | − | 0.984152i | \(-0.443254\pi\) |
0.940965 | + | 0.338505i | \(0.109921\pi\) | |||||||
\(602\) | −13.9197 | + | 14.1315i | −0.567326 | + | 0.575957i | ||||
\(603\) | −13.0380 | + | 10.5463i | −0.530950 | + | 0.429477i | ||||
\(604\) | −1.80839 | − | 1.04408i | −0.0735824 | − | 0.0424828i | ||||
\(605\) | 17.2085 | + | 7.13949i | 0.699627 | + | 0.290261i | ||||
\(606\) | 2.86126 | + | 13.4792i | 0.116231 | + | 0.547555i | ||||
\(607\) | −2.86111 | + | 10.6778i | −0.116129 | + | 0.433398i | −0.999369 | − | 0.0355226i | \(-0.988690\pi\) |
0.883240 | + | 0.468921i | \(0.155357\pi\) | |||||||
\(608\) | 7.98642 | + | 29.8057i | 0.323892 | + | 1.20878i | ||||
\(609\) | −22.7490 | + | 20.7850i | −0.921836 | + | 0.842253i | ||||
\(610\) | −29.7492 | − | 3.93378i | −1.20451 | − | 0.159274i | ||||
\(611\) | 0.524905 | − | 0.909162i | 0.0212354 | − | 0.0367807i | ||||
\(612\) | −3.00046 | − | 1.15364i | −0.121287 | − | 0.0466332i | ||||
\(613\) | 6.18919 | − | 23.0984i | 0.249979 | − | 0.932934i | −0.720836 | − | 0.693105i | \(-0.756242\pi\) |
0.970815 | − | 0.239829i | \(-0.0770913\pi\) | |||||||
\(614\) | −9.04278 | −0.364937 | ||||||||
\(615\) | −2.13074 | − | 27.3679i | −0.0859197 | − | 1.10358i | ||||
\(616\) | 6.51320 | + | 11.0870i | 0.262424 | + | 0.446710i | ||||
\(617\) | −1.79766 | − | 6.70895i | −0.0723709 | − | 0.270092i | 0.920253 | − | 0.391323i | \(-0.127982\pi\) |
−0.992624 | + | 0.121231i | \(0.961316\pi\) | |||||||
\(618\) | 7.88483 | + | 15.4853i | 0.317175 | + | 0.622909i | ||||
\(619\) | −15.6977 | + | 27.1893i | −0.630945 | + | 1.09283i | 0.356414 | + | 0.934328i | \(0.383999\pi\) |
−0.987359 | + | 0.158500i | \(0.949334\pi\) | |||||||
\(620\) | 15.5056 | − | 11.8838i | 0.622719 | − | 0.477267i | ||||
\(621\) | 35.2237 | + | 15.7170i | 1.41348 | + | 0.630703i | ||||
\(622\) | −17.0174 | − | 17.0174i | −0.682337 | − | 0.682337i | ||||
\(623\) | 46.3304 | + | 12.0401i | 1.85619 | + | 0.482375i | ||||
\(624\) | −0.734872 | + | 0.155993i | −0.0294184 | + | 0.00624471i | ||||
\(625\) | −21.6221 | − | 12.5492i | −0.864885 | − | 0.501970i | ||||
\(626\) | − | 24.7912i | − | 0.990857i | ||||||
\(627\) | 15.0954 | − | 7.68630i | 0.602851 | − | 0.306961i | ||||
\(628\) | 6.24563 | − | 6.24563i | 0.249228 | − | 0.249228i | ||||
\(629\) | 5.83322 | 0.232586 | ||||||||
\(630\) | −17.3307 | + | 0.565462i | −0.690471 | + | 0.0225285i | ||||
\(631\) | −36.8622 | −1.46746 | −0.733730 | − | 0.679441i | \(-0.762222\pi\) | ||||
−0.733730 | + | 0.679441i | \(0.762222\pi\) | |||||||
\(632\) | −14.1751 | + | 14.1751i | −0.563856 | + | 0.563856i | ||||
\(633\) | −0.793975 | − | 0.515920i | −0.0315577 | − | 0.0205060i | ||||
\(634\) | − | 10.4101i | − | 0.413440i | ||||||
\(635\) | −0.771314 | + | 5.83306i | −0.0306087 | + | 0.231478i | ||||
\(636\) | 0.783308 | − | 2.40855i | 0.0310602 | − | 0.0955051i | ||||
\(637\) | 2.67041 | + | 2.59097i | 0.105806 | + | 0.102658i | ||||
\(638\) | 7.58787 | + | 7.58787i | 0.300407 | + | 0.300407i | ||||
\(639\) | 18.9670 | + | 2.00395i | 0.750323 | + | 0.0792749i | ||||
\(640\) | 8.40954 | + | 1.11201i | 0.332416 | + | 0.0439559i | ||||
\(641\) | −7.53215 | + | 13.0461i | −0.297502 | + | 0.515289i | −0.975564 | − | 0.219716i | \(-0.929487\pi\) |
0.678062 | + | 0.735005i | \(0.262820\pi\) | |||||||
\(642\) | 1.17313 | − | 1.80539i | 0.0462998 | − | 0.0712530i | ||||
\(643\) | −4.70433 | − | 17.5568i | −0.185521 | − | 0.692372i | −0.994518 | − | 0.104561i | \(-0.966656\pi\) |
0.808998 | − | 0.587812i | \(-0.200010\pi\) | |||||||
\(644\) | −0.155006 | − | 20.5322i | −0.00610811 | − | 0.809082i | ||||
\(645\) | 28.0240 | − | 9.89731i | 1.10344 | − | 0.389706i | ||||
\(646\) | −5.99547 | −0.235889 | ||||||||
\(647\) | −1.04775 | + | 3.91026i | −0.0411913 | + | 0.153728i | −0.983458 | − | 0.181134i | \(-0.942023\pi\) |
0.942267 | + | 0.334862i | \(0.108690\pi\) | |||||||
\(648\) | −14.5603 | − | 22.4744i | −0.571983 | − | 0.882878i | ||||
\(649\) | −0.902644 | + | 1.56342i | −0.0354319 | + | 0.0613698i | ||||
\(650\) | 1.83813 | − | 1.83395i | 0.0720974 | − | 0.0719335i | ||||
\(651\) | 8.23430 | + | 37.3990i | 0.322728 | + | 1.46578i | ||||
\(652\) | −0.600017 | − | 2.23930i | −0.0234985 | − | 0.0876976i | ||||
\(653\) | 5.98559 | − | 22.3385i | 0.234234 | − | 0.874174i | −0.744258 | − | 0.667892i | \(-0.767197\pi\) |
0.978493 | − | 0.206282i | \(-0.0661365\pi\) | |||||||
\(654\) | 18.6557 | + | 6.06720i | 0.729494 | + | 0.237246i | ||||
\(655\) | 1.80589 | − | 4.35281i | 0.0705622 | − | 0.170078i | ||||
\(656\) | 5.00868 | + | 2.89176i | 0.195556 | + | 0.112904i | ||||
\(657\) | −17.6039 | − | 6.76851i | −0.686795 | − | 0.264065i | ||||
\(658\) | 1.35852 | + | 4.92115i | 0.0529605 | + | 0.191846i | ||||
\(659\) | −38.7647 | + | 22.3808i | −1.51006 | + | 0.871834i | −0.510129 | + | 0.860098i | \(0.670402\pi\) |
−0.999931 | + | 0.0117356i | \(0.996264\pi\) | |||||||
\(660\) | −0.513379 | − | 6.59400i | −0.0199833 | − | 0.256671i | ||||
\(661\) | 17.5421i | 0.682309i | 0.940007 | + | 0.341155i | \(0.110818\pi\) | ||||
−0.940007 | + | 0.341155i | \(0.889182\pi\) | |||||||
\(662\) | −4.31569 | + | 4.31569i | −0.167734 | + | 0.167734i | ||||
\(663\) | −0.0496402 | + | 0.942287i | −0.00192786 | + | 0.0365954i | ||||
\(664\) | −5.82948 | − | 10.0970i | −0.226228 | − | 0.391838i | ||||
\(665\) | 32.6306 | − | 13.7837i | 1.26536 | − | 0.534508i | ||||
\(666\) | 13.4902 | + | 9.81242i | 0.522735 | + | 0.380224i | ||||
\(667\) | −12.9188 | − | 48.2137i | −0.500219 | − | 1.86684i | ||||
\(668\) | 0.367836 | + | 1.37278i | 0.0142320 | + | 0.0531145i | ||||
\(669\) | −14.1995 | + | 43.6612i | −0.548984 | + | 1.68804i | ||||
\(670\) | 7.42846 | + | 9.69237i | 0.286986 | + | 0.374449i | ||||
\(671\) | 19.4308 | + | 11.2184i | 0.750119 | + | 0.433081i | ||||
\(672\) | −12.7182 | + | 19.8998i | −0.490614 | + | 0.767653i | ||||
\(673\) | −12.8090 | + | 47.8039i | −0.493751 | + | 1.84270i | 0.0431629 | + | 0.999068i | \(0.486257\pi\) |
−0.536914 | + | 0.843637i | \(0.680410\pi\) | |||||||
\(674\) | 10.8294 | + | 6.25233i | 0.417131 | + | 0.240831i | ||||
\(675\) | 23.7139 | + | 10.6137i | 0.912749 | + | 0.408521i | ||||
\(676\) | 6.64796 | + | 11.5146i | 0.255691 | + | 0.442869i | ||||
\(677\) | 26.4976 | + | 26.4976i | 1.01839 | + | 1.01839i | 0.999828 | + | 0.0185585i | \(0.00590769\pi\) |
0.0185585 | + | 0.999828i | \(0.494092\pi\) | |||||||
\(678\) | −29.5277 | − | 19.1869i | −1.13401 | − | 0.736870i | ||||
\(679\) | −0.408066 | + | 0.00308066i | −0.0156601 | + | 0.000118225i | ||||
\(680\) | −2.61310 | + | 6.29845i | −0.100208 | + | 0.241535i | ||||
\(681\) | 6.12015 | + | 28.8316i | 0.234525 | + | 1.10483i | ||||
\(682\) | 12.8814 | − | 3.45155i | 0.493253 | − | 0.132167i | ||||
\(683\) | −6.76683 | + | 25.2542i | −0.258926 | + | 0.966324i | 0.706939 | + | 0.707275i | \(0.250076\pi\) |
−0.965864 | + | 0.259049i | \(0.916591\pi\) | |||||||
\(684\) | 15.1869 | + | 11.0466i | 0.580685 | + | 0.422375i | ||||
\(685\) | −23.9900 | − | 18.4299i | −0.916612 | − | 0.704170i | ||||
\(686\) | −18.0895 | + | 0.409759i | −0.690661 | + | 0.0156447i | ||||
\(687\) | −21.5954 | + | 10.9960i | −0.823916 | + | 0.419524i | ||||
\(688\) | −1.62065 | + | 6.04836i | −0.0617868 | + | 0.230592i | ||||
\(689\) | −0.743438 | −0.0283227 | ||||||||
\(690\) | 12.1134 | − | 25.3415i | 0.461150 | − | 0.964733i | ||||
\(691\) | 21.1336i | 0.803961i | 0.915648 | + | 0.401980i | \(0.131678\pi\) | ||||
−0.915648 | + | 0.401980i | \(0.868322\pi\) | |||||||
\(692\) | 1.51606 | + | 1.51606i | 0.0576318 | + | 0.0576318i | ||||
\(693\) | 12.1360 | + | 4.56129i | 0.461008 | + | 0.173269i | ||||
\(694\) | − | 13.0916i | − | 0.496952i | ||||||
\(695\) | −3.74454 | − | 28.5682i | −0.142038 | − | 1.08365i | ||||
\(696\) | −10.7177 | + | 32.9551i | −0.406252 | + | 1.24916i | ||||
\(697\) | 5.13666 | − | 5.13666i | 0.194565 | − | 0.194565i | ||||
\(698\) | −29.1320 | − | 7.80591i | −1.10266 | − | 0.295458i | ||||
\(699\) | −4.42820 | − | 20.8610i | −0.167490 | − | 0.789034i | ||||
\(700\) | −0.0886688 | − | 13.8302i | −0.00335137 | − | 0.522732i | ||||
\(701\) | 17.0822 | 0.645186 | 0.322593 | − | 0.946538i | \(-0.395446\pi\) | ||||
0.322593 | + | 0.946538i | \(0.395446\pi\) | |||||||
\(702\) | −1.69988 | + | 2.09568i | −0.0641579 | + | 0.0790964i | ||||
\(703\) | −32.9160 | − | 8.81983i | −1.24145 | − | 0.332646i | ||||
\(704\) | 9.43107 | + | 5.44503i | 0.355447 | + | 0.205217i | ||||
\(705\) | 1.40029 | − | 7.52000i | 0.0527381 | − | 0.283220i | ||||
\(706\) | 13.9072 | + | 8.02934i | 0.523405 | + | 0.302188i | ||||
\(707\) | 5.41880 | − | 20.8516i | 0.203795 | − | 0.784207i | ||||
\(708\) | −1.99860 | − | 0.105287i | −0.0751119 | − | 0.00395693i | ||||
\(709\) | − | 43.7377i | − | 1.64260i | −0.570494 | − | 0.821302i | \(-0.693248\pi\) | ||
0.570494 | − | 0.821302i | \(-0.306752\pi\) | |||||||
\(710\) | 1.82069 | − | 13.7689i | 0.0683292 | − | 0.516739i | ||||
\(711\) | −2.12369 | + | 20.1004i | −0.0796447 | + | 0.753824i | ||||
\(712\) | 51.9995 | − | 13.9332i | 1.94877 | − | 0.522170i | ||||
\(713\) | −59.9175 | − | 16.0548i | −2.24393 | − | 0.601259i | ||||
\(714\) | −3.09517 | − | 3.38763i | −0.115834 | − | 0.126779i | ||||
\(715\) | −1.79406 | + | 0.741928i | −0.0670940 | + | 0.0277465i | ||||
\(716\) | 8.81441 | + | 15.2670i | 0.329410 | + | 0.570555i | ||||
\(717\) | −7.16355 | + | 11.0243i | −0.267528 | + | 0.411711i | ||||
\(718\) | −1.53086 | + | 0.410194i | −0.0571313 | + | 0.0153083i | ||||
\(719\) | −9.10099 | + | 15.7634i | −0.339410 | + | 0.587875i | −0.984322 | − | 0.176382i | \(-0.943561\pi\) |
0.644912 | + | 0.764257i | \(0.276894\pi\) | |||||||
\(720\) | −4.67039 | + | 2.85487i | −0.174055 | + | 0.106395i | ||||
\(721\) | −0.205105 | − | 27.1683i | −0.00763851 | − | 1.01180i | ||||
\(722\) | 15.9013 | + | 4.26073i | 0.591784 | + | 0.158568i | ||||
\(723\) | 5.68689 | − | 8.75184i | 0.211498 | − | 0.325484i | ||||
\(724\) | −21.2942 | −0.791392 | ||||||||
\(725\) | −8.66489 | − | 32.4857i | −0.321806 | − | 1.20649i | ||||
\(726\) | −4.36058 | + | 13.4081i | −0.161836 | + | 0.497620i | ||||
\(727\) | −12.6674 | + | 47.2752i | −0.469806 | + | 1.75334i | 0.170635 | + | 0.985334i | \(0.445418\pi\) |
−0.640441 | + | 0.768007i | \(0.721248\pi\) | |||||||
\(728\) | 4.04988 | + | 1.05246i | 0.150099 | + | 0.0390067i | ||||
\(729\) | −25.6649 | − | 8.38535i | −0.950551 | − | 0.310569i | ||||
\(730\) | −5.26308 | + | 12.6858i | −0.194795 | + | 0.469521i | ||||
\(731\) | 6.81126 | + | 3.93249i | 0.251924 | + | 0.145448i | ||||
\(732\) | −1.30855 | + | 24.8393i | −0.0483653 | + | 0.918088i | ||||
\(733\) | 19.2445 | + | 5.15655i | 0.710812 | + | 0.190461i | 0.596068 | − | 0.802934i | \(-0.296729\pi\) |
0.114744 | + | 0.993395i | \(0.463395\pi\) | |||||||
\(734\) | −1.18391 | + | 2.05060i | −0.0436991 | + | 0.0756890i | ||||
\(735\) | 24.6338 | + | 11.3215i | 0.908631 | + | 0.417599i | ||||
\(736\) | −19.1277 | − | 33.1302i | −0.705057 | − | 1.22119i | ||||
\(737\) | −2.36315 | − | 8.81940i | −0.0870478 | − | 0.324867i | ||||
\(738\) | 20.5200 | − | 3.23861i | 0.755351 | − | 0.119215i | ||||
\(739\) | −41.8852 | + | 24.1825i | −1.54077 | + | 0.889566i | −0.541984 | + | 0.840389i | \(0.682327\pi\) |
−0.998790 | + | 0.0491770i | \(0.984340\pi\) | |||||||
\(740\) | −8.10572 | + | 10.5511i | −0.297972 | + | 0.387868i | ||||
\(741\) | 1.70485 | − | 5.24214i | 0.0626293 | − | 0.192575i | ||||
\(742\) | 2.53706 | − | 2.57566i | 0.0931383 | − | 0.0945553i | ||||
\(743\) | −31.7951 | + | 8.51948i | −1.16645 | + | 0.312549i | −0.789539 | − | 0.613700i | \(-0.789680\pi\) |
−0.376911 | + | 0.926250i | \(0.623014\pi\) | |||||||
\(744\) | 28.8083 | + | 32.0123i | 1.05616 | + | 1.17363i | ||||
\(745\) | 3.13889 | − | 7.56576i | 0.115000 | − | 0.277188i | ||||
\(746\) | −15.6246 | − | 27.0626i | −0.572057 | − | 0.990832i | ||||
\(747\) | −10.9722 | − | 4.21869i | −0.401453 | − | 0.154354i | ||||
\(748\) | 1.23762 | − | 1.23762i | 0.0452520 | − | 0.0452520i | ||||
\(749\) | −2.90251 | + | 1.70511i | −0.106055 | + | 0.0623034i | ||||
\(750\) | 8.17879 | − | 17.0602i | 0.298647 | − | 0.622951i | ||||
\(751\) | 6.76017 | + | 11.7090i | 0.246682 | + | 0.427266i | 0.962603 | − | 0.270915i | \(-0.0873263\pi\) |
−0.715921 | + | 0.698181i | \(0.753993\pi\) | |||||||
\(752\) | 1.13958 | + | 1.13958i | 0.0415561 | + | 0.0415561i | ||||
\(753\) | 8.32065 | + | 0.438336i | 0.303221 | + | 0.0159739i | ||||
\(754\) | 3.49200 | 0.127171 | ||||||||
\(755\) | 0.580424 | + | 4.42823i | 0.0211238 | + | 0.161160i | ||||
\(756\) | 1.59861 | + | 14.2839i | 0.0581407 | + | 0.519499i | ||||
\(757\) | 28.4104 | − | 28.4104i | 1.03260 | − | 1.03260i | 0.0331447 | − | 0.999451i | \(-0.489448\pi\) |
0.999451 | − | 0.0331447i | \(-0.0105522\pi\) | |||||||
\(758\) | 21.3937 | + | 21.3937i | 0.777055 | + | 0.777055i | ||||
\(759\) | −15.6106 | + | 14.0481i | −0.566628 | + | 0.509915i | ||||
\(760\) | 24.2687 | − | 31.5903i | 0.880317 | − | 1.14590i | ||||
\(761\) | 13.6962 | − | 7.90749i | 0.496486 | − | 0.286646i | −0.230775 | − | 0.973007i | \(-0.574126\pi\) |
0.727261 | + | 0.686361i | \(0.240793\pi\) | |||||||
\(762\) | −4.44657 | − | 0.234248i | −0.161082 | − | 0.00848590i | ||||
\(763\) | −21.8514 | − | 21.5239i | −0.791072 | − | 0.779218i | ||||
\(764\) | 18.0179i | 0.651866i | ||||||||
\(765\) | 1.94536 | + | 6.59438i | 0.0703348 | + | 0.238420i | ||||
\(766\) | −15.9311 | + | 9.19781i | −0.575613 | + | 0.332330i | ||||
\(767\) | 0.152048 | + | 0.567451i | 0.00549014 | + | 0.0204895i | ||||
\(768\) | −1.55270 | + | 29.4739i | −0.0560283 | + | 1.06355i | ||||
\(769\) | −10.7002 | + | 18.5333i | −0.385860 | + | 0.668328i | −0.991888 | − | 0.127115i | \(-0.959428\pi\) |
0.606028 | + | 0.795443i | \(0.292762\pi\) | |||||||
\(770\) | 3.55199 | − | 8.74746i | 0.128005 | − | 0.315237i | ||||
\(771\) | −26.9705 | − | 8.77136i | −0.971319 | − | 0.315893i | ||||
\(772\) | −7.99662 | + | 7.99662i | −0.287805 | + | 0.287805i | ||||
\(773\) | 8.90050 | + | 2.38488i | 0.320129 | + | 0.0857782i | 0.415305 | − | 0.909682i | \(-0.363675\pi\) |
−0.0951763 | + | 0.995460i | \(0.530341\pi\) | |||||||
\(774\) | 9.13700 | + | 20.5521i | 0.328423 | + | 0.738731i | ||||
\(775\) | −40.3469 | − | 10.8602i | −1.44930 | − | 0.390108i | ||||
\(776\) | −0.397440 | + | 0.229462i | −0.0142673 | + | 0.00823722i | ||||
\(777\) | −12.0095 | − | 23.1518i | −0.430837 | − | 0.830568i | ||||
\(778\) | −22.3540 | + | 5.98973i | −0.801430 | + | 0.214742i | ||||
\(779\) | −36.7521 | + | 21.2188i | −1.31678 | + | 0.760243i | ||||
\(780\) | −1.63543 | − | 1.39917i | −0.0585580 | − | 0.0500985i | ||||
\(781\) | −5.19226 | + | 8.99325i | −0.185794 | + | 0.321804i | ||||
\(782\) | 7.17966 | − | 1.92378i | 0.256744 | − | 0.0687944i | ||||
\(783\) | 12.4949 | + | 32.6299i | 0.446531 | + | 1.16610i | ||||
\(784\) | −4.90300 | + | 2.93033i | −0.175107 | + | 0.104654i | ||||
\(785\) | −18.7281 | − | 2.47645i | −0.668436 | − | 0.0883882i | ||||
\(786\) | 3.39150 | + | 1.10298i | 0.120971 | + | 0.0393421i | ||||
\(787\) | 36.7451 | + | 36.7451i | 1.30982 | + | 1.30982i | 0.921541 | + | 0.388282i | \(0.126931\pi\) |
0.388282 | + | 0.921541i | \(0.373069\pi\) | |||||||
\(788\) | 4.87763 | + | 4.87763i | 0.173758 | + | 0.173758i | ||||
\(789\) | 2.99940 | + | 14.1300i | 0.106782 | + | 0.503040i | ||||
\(790\) | 14.5917 | + | 1.92948i | 0.519150 | + | 0.0686480i | ||||
\(791\) | 27.8877 | + | 47.4716i | 0.991571 | + | 1.68789i | ||||
\(792\) | 14.4020 | − | 2.27303i | 0.511754 | − | 0.0807686i | ||||
\(793\) | 7.05250 | − | 1.88971i | 0.250442 | − | 0.0671056i | ||||
\(794\) | 11.7409 | − | 20.3358i | 0.416668 | − | 0.721691i | ||||
\(795\) | −5.10775 | + | 1.80392i | −0.181153 | + | 0.0639783i | ||||
\(796\) | 4.67771 | − | 2.70068i | 0.165797 | − | 0.0957230i | ||||
\(797\) | −4.61563 | + | 1.23676i | −0.163494 | + | 0.0438081i | −0.339638 | − | 0.940556i | \(-0.610304\pi\) |
0.176143 | + | 0.984365i | \(0.443638\pi\) | |||||||
\(798\) | 12.3435 | + | 23.7958i | 0.436956 | + | 0.842363i | ||||
\(799\) | 1.75304 | − | 1.01212i | 0.0620182 | − | 0.0358062i | ||||
\(800\) | −12.8586 | − | 22.3305i | −0.454621 | − | 0.789501i | ||||
\(801\) | 31.9281 | − | 43.8950i | 1.12812 | − | 1.55095i | ||||
\(802\) | 32.2883 | + | 8.65162i | 1.14014 | + | 0.305499i | ||||
\(803\) | 7.26124 | − | 7.26124i | 0.256243 | − | 0.256243i | ||||
\(804\) | 7.52412 | − | 6.77104i | 0.265355 | − | 0.238796i | ||||
\(805\) | −34.6528 | + | 26.9764i | −1.22135 | + | 0.950794i | ||||
\(806\) | 2.16984 | − | 3.75827i | 0.0764292 | − | 0.132379i | ||||
\(807\) | −5.76217 | + | 2.93400i | −0.202838 | + | 0.103282i | ||||
\(808\) | −6.27085 | − | 23.4031i | −0.220608 | − | 0.823319i | ||||
\(809\) | 16.7030 | − | 9.64348i | 0.587246 | − | 0.339047i | −0.176762 | − | 0.984254i | \(-0.556562\pi\) |
0.764008 | + | 0.645207i | \(0.223229\pi\) | |||||||
\(810\) | −6.59388 | + | 18.5229i | −0.231685 | + | 0.650830i | ||||
\(811\) | 7.57899i | 0.266134i | 0.991107 | + | 0.133067i | \(0.0424826\pi\) | ||||
−0.991107 | + | 0.133067i | \(0.957517\pi\) | |||||||
\(812\) | 13.0525 | − | 13.2511i | 0.458054 | − | 0.465022i | ||||
\(813\) | 6.04066 | − | 9.29627i | 0.211855 | − | 0.326034i | ||||
\(814\) | −7.86574 | + | 4.54129i | −0.275694 | + | 0.159172i | ||||
\(815\) | −3.02067 | + | 3.93198i | −0.105810 | + | 0.137731i | ||||
\(816\) | −1.37753 | − | 0.448002i | −0.0482233 | − | 0.0156832i | ||||
\(817\) | −32.4891 | − | 32.4891i | −1.13665 | − | 1.13665i | ||||
\(818\) | −0.0628861 | + | 0.0628861i | −0.00219876 | + | 0.00219876i | ||||
\(819\) | 3.84211 | − | 1.74297i | 0.134254 | − | 0.0609042i | ||||
\(820\) | 2.15341 | + | 16.4290i | 0.0752003 | + | 0.573726i | ||||
\(821\) | 22.8142 | 0.796220 | 0.398110 | − | 0.917338i | \(-0.369666\pi\) | ||||
0.398110 | + | 0.917338i | \(0.369666\pi\) | |||||||
\(822\) | 12.4742 | − | 19.1971i | 0.435087 | − | 0.669576i | ||||
\(823\) | 5.27512 | + | 5.27512i | 0.183879 | + | 0.183879i | 0.793044 | − | 0.609165i | \(-0.208495\pi\) |
−0.609165 | + | 0.793044i | \(0.708495\pi\) | |||||||
\(824\) | −15.2772 | − | 26.4609i | −0.532206 | − | 0.921808i | ||||
\(825\) | −10.5257 | + | 9.45058i | −0.366459 | + | 0.329027i | ||||
\(826\) | −2.48483 | − | 1.40971i | −0.0864581 | − | 0.0490501i | ||||
\(827\) | −21.2830 | + | 21.2830i | −0.740083 | + | 0.740083i | −0.972594 | − | 0.232511i | \(-0.925306\pi\) |
0.232511 | + | 0.972594i | \(0.425306\pi\) | |||||||
\(828\) | −21.7311 | − | 8.35534i | −0.755206 | − | 0.290368i | ||||
\(829\) | 4.24336 | + | 7.34971i | 0.147378 | + | 0.255266i | 0.930258 | − | 0.366907i | \(-0.119583\pi\) |
−0.782880 | + | 0.622173i | \(0.786250\pi\) | |||||||
\(830\) | −3.28038 | + | 7.90681i | −0.113864 | + | 0.274449i | ||||
\(831\) | 0.972982 | − | 0.206537i | 0.0337524 | − | 0.00716470i | ||||
\(832\) | 3.42304 | − | 0.917202i | 0.118673 | − | 0.0317983i | ||||
\(833\) | 1.96129 | + | 6.90112i | 0.0679547 | + | 0.239110i | ||||
\(834\) | 21.3294 | − | 4.52764i | 0.738576 | − | 0.156779i | ||||
\(835\) | 1.85180 | − | 2.41047i | 0.0640841 | − | 0.0834177i | ||||
\(836\) | −8.85503 | + | 5.11246i | −0.306258 | + | 0.176818i | ||||
\(837\) | 42.8820 | + | 6.82771i | 1.48222 | + | 0.236000i | ||||
\(838\) | −6.93939 | − | 25.8982i | −0.239717 | − | 0.894637i | ||||
\(839\) | 0.839410 | + | 1.45390i | 0.0289797 | + | 0.0501942i | 0.880152 | − | 0.474693i | \(-0.157441\pi\) |
−0.851172 | + | 0.524887i | \(0.824108\pi\) | |||||||
\(840\) | 30.3782 | − | 2.59598i | 1.04815 | − | 0.0895697i | ||||
\(841\) | 8.10798 | − | 14.0434i | 0.279586 | − | 0.484256i | ||||
\(842\) | 11.2172 | + | 3.00564i | 0.386571 | + | 0.103581i | ||||
\(843\) | 6.84358 | − | 3.48464i | 0.235706 | − | 0.120017i | ||||
\(844\) | 0.494971 | + | 0.285772i | 0.0170376 | + | 0.00983667i | ||||
\(845\) | 10.8974 | − | 26.2663i | 0.374881 | − | 0.903587i | ||||
\(846\) | 5.75673 | + | 0.608223i | 0.197921 | + | 0.0209111i | ||||
\(847\) | 15.4695 | − | 15.7049i | 0.531539 | − | 0.539625i | ||||
\(848\) | 0.295386 | − | 1.10240i | 0.0101436 | − | 0.0378564i | ||||
\(849\) | −8.62883 | − | 9.58853i | −0.296141 | − | 0.329078i | ||||
\(850\) | 4.83755 | − | 1.29032i | 0.165927 | − | 0.0442575i | ||||
\(851\) | 42.2475 | 1.44822 | ||||||||
\(852\) | −11.4965 | − | 0.605641i | −0.393863 | − | 0.0207489i | ||||
\(853\) | 41.0407 | + | 10.9968i | 1.40521 | + | 0.376524i | 0.880212 | − | 0.474581i | \(-0.157401\pi\) |
0.524995 | + | 0.851105i | \(0.324067\pi\) | |||||||
\(854\) | −17.5204 | + | 30.8824i | −0.599537 | + | 1.05677i | ||||
\(855\) | −1.00671 | − | 40.1526i | −0.0344289 | − | 1.37319i | ||||
\(856\) | −1.89287 | + | 3.27855i | −0.0646971 | + | 0.112059i | ||||
\(857\) | −49.8017 | + | 13.3443i | −1.70119 | + | 0.455833i | −0.973239 | − | 0.229794i | \(-0.926195\pi\) |
−0.727953 | + | 0.685627i | \(0.759528\pi\) | |||||||
\(858\) | −0.666655 | − | 1.30926i | −0.0227592 | − | 0.0446975i | ||||
\(859\) | −9.69220 | − | 16.7874i | −0.330694 | − | 0.572778i | 0.651954 | − | 0.758258i | \(-0.273949\pi\) |
−0.982648 | + | 0.185480i | \(0.940616\pi\) | |||||||
\(860\) | −16.5779 | + | 6.85574i | −0.565302 | + | 0.233779i | ||||
\(861\) | −30.9626 | − | 9.81183i | −1.05520 | − | 0.334386i | ||||
\(862\) | 20.9919 | + | 5.62476i | 0.714986 | + | 0.191580i | ||||
\(863\) | 0.409122 | − | 0.109624i | 0.0139267 | − | 0.00373165i | −0.251849 | − | 0.967767i | \(-0.581039\pi\) |
0.265776 | + | 0.964035i | \(0.414372\pi\) | |||||||
\(864\) | 15.7226 | + | 21.6775i | 0.534894 | + | 0.737483i | ||||
\(865\) | 0.601130 | − | 4.54604i | 0.0204390 | − | 0.154570i | ||||
\(866\) | − | 7.23577i | − | 0.245881i | ||||||
\(867\) | 15.0522 | − | 23.1645i | 0.511199 | − | 0.786709i | ||||
\(868\) | −6.15102 | − | 22.2817i | −0.208779 | − | 0.756290i | ||||
\(869\) | −9.53065 | − | 5.50253i | −0.323305 | − | 0.186660i | ||||
\(870\) | 23.9916 | − | 8.47316i | 0.813390 | − | 0.287267i | ||||
\(871\) | −2.57315 | − | 1.48561i | −0.0871877 | − | 0.0503379i | ||||
\(872\) | −33.3182 | − | 8.92760i | −1.12830 | − | 0.302327i | ||||
\(873\) | −0.166058 | + | 0.431893i | −0.00562020 | + | 0.0146173i | ||||
\(874\) | −43.4226 | −1.46879 | ||||||||
\(875\) | −23.3621 | + | 18.1442i | −0.789783 | + | 0.613386i | ||||
\(876\) | 10.8262 | + | 3.52089i | 0.365782 | + | 0.118960i | ||||
\(877\) | −37.7802 | − | 10.1232i | −1.27575 | − | 0.341836i | −0.443518 | − | 0.896266i | \(-0.646270\pi\) |
−0.832230 | + | 0.554430i | \(0.812936\pi\) | |||||||
\(878\) | 13.5060 | − | 13.5060i | 0.455804 | − | 0.455804i | ||||
\(879\) | −32.6339 | + | 6.92728i | −1.10072 | + | 0.233651i | ||||
\(880\) | −0.387333 | − | 2.95508i | −0.0130570 | − | 0.0996157i | ||||
\(881\) | − | 34.8974i | − | 1.17572i | −0.808961 | − | 0.587862i | \(-0.799970\pi\) | ||
0.808961 | − | 0.587862i | \(-0.200030\pi\) | |||||||
\(882\) | −7.07303 | + | 19.2591i | −0.238161 | + | 0.648488i | ||||
\(883\) | −38.1289 | − | 38.1289i | −1.28314 | − | 1.28314i | −0.938872 | − | 0.344268i | \(-0.888127\pi\) |
−0.344268 | − | 0.938872i | \(-0.611873\pi\) | |||||||
\(884\) | − | 0.569564i | − | 0.0191565i | ||||||
\(885\) | 2.42153 | + | 3.52971i | 0.0813989 | + | 0.118650i | ||||
\(886\) | 36.6179 | 1.23020 | ||||||||
\(887\) | −12.2126 | + | 45.5781i | −0.410060 | + | 1.53036i | 0.384469 | + | 0.923138i | \(0.374384\pi\) |
−0.794529 | + | 0.607226i | \(0.792282\pi\) | |||||||
\(888\) | −24.5948 | − | 15.9816i | −0.825347 | − | 0.536306i | ||||
\(889\) | 6.05524 | + | 3.43531i | 0.203086 | + | 0.115217i | ||||
\(890\) | −31.3445 | − | 24.0798i | −1.05067 | − | 0.807157i | ||||
\(891\) | 9.84862 | − | 10.9141i | 0.329941 | − | 0.365636i | ||||
\(892\) | 7.17267 | − | 26.7688i | 0.240159 | − | 0.896285i | ||||
\(893\) | −11.4225 | + | 3.06065i | −0.382240 | + | 0.102421i | ||||
\(894\) | 5.89488 | + | 1.91713i | 0.197154 | + | 0.0641186i | ||||
\(895\) | 14.4486 | − | 34.8260i | 0.482964 | − | 1.16410i | ||||
\(896\) | 4.95269 | − | 8.72986i | 0.165458 | − | 0.291644i | ||||
\(897\) | −0.359522 | + | 6.82458i | −0.0120041 | + | 0.227866i | ||||
\(898\) | −12.8636 | − | 12.8636i | −0.429265 | − | 0.429265i | ||||
\(899\) | −28.0960 | − | 48.6638i | −0.937055 | − | 1.62303i | ||||
\(900\) | −14.6312 | − | 5.64464i | −0.487706 | − | 0.188155i | ||||
\(901\) | −1.24144 | − | 0.716748i | −0.0413585 | − | 0.0238783i | ||||
\(902\) | −2.92747 | + | 10.9255i | −0.0974742 | + | 0.363779i | ||||
\(903\) | 1.58482 | − | 35.1299i | 0.0527395 | − | 1.16905i | ||||
\(904\) | 53.6218 | + | 30.9586i | 1.78344 | + | 1.02967i | ||||
\(905\) | 27.7047 | + | 36.1480i | 0.920935 | + | 1.20160i | ||||
\(906\) | −3.30617 | + | 0.701809i | −0.109840 | + | 0.0233160i | ||||
\(907\) | 6.49758 | + | 24.2493i | 0.215749 | + | 0.805185i | 0.985902 | + | 0.167326i | \(0.0535131\pi\) |
−0.770153 | + | 0.637859i | \(0.779820\pi\) | |||||||
\(908\) | −4.60461 | − | 17.1846i | −0.152809 | − | 0.570293i | ||||
\(909\) | −19.7556 | − | 14.3697i | −0.655251 | − | 0.476612i | ||||
\(910\) | −1.19550 | − | 2.83015i | −0.0396304 | − | 0.0938185i | ||||
\(911\) | 18.7147 | + | 32.4148i | 0.620045 | + | 1.07395i | 0.989477 | + | 0.144692i | \(0.0462191\pi\) |
−0.369431 | + | 0.929258i | \(0.620448\pi\) | |||||||
\(912\) | 7.09585 | + | 4.61084i | 0.234967 | + | 0.152680i | ||||
\(913\) | 4.52580 | − | 4.52580i | 0.149782 | − | 0.149782i | ||||
\(914\) | − | 28.5162i | − | 0.943233i | ||||||
\(915\) | 43.8685 | − | 30.0957i | 1.45025 | − | 0.994934i | ||||
\(916\) | 12.6680 | − | 7.31387i | 0.418562 | − | 0.241657i | ||||
\(917\) | −3.97246 | − | 3.91293i | −0.131182 | − | 0.129216i | ||||
\(918\) | −4.85902 | + | 1.86066i | −0.160372 | + | 0.0614108i | ||||
\(919\) | 31.8867 | + | 18.4098i | 1.05184 | + | 0.607283i | 0.923165 | − | 0.384403i | \(-0.125593\pi\) |
0.128680 | + | 0.991686i | \(0.458926\pi\) | |||||||
\(920\) | −18.9256 | + | 45.6170i | −0.623958 | + | 1.50395i | ||||
\(921\) | 11.9166 | − | 10.7239i | 0.392664 | − | 0.353363i | ||||
\(922\) | −3.86110 | + | 14.4098i | −0.127159 | + | 0.474562i | ||||
\(923\) | 0.874623 | + | 3.26414i | 0.0287886 | + | 0.107440i | ||||
\(924\) | −7.46012 | − | 2.36406i | −0.245420 | − | 0.0777719i | ||||
\(925\) | 28.4570 | + | 0.0323876i | 0.935662 | + | 0.00106490i | ||||
\(926\) | −20.2211 | + | 35.0240i | −0.664507 | + | 1.15096i | ||||
\(927\) | −28.7546 | − | 11.0558i | −0.944426 | − | 0.363121i | ||||
\(928\) | 8.96921 | − | 33.4736i | 0.294429 | − | 1.09882i | ||||
\(929\) | 10.8700 | 0.356635 | 0.178317 | − | 0.983973i | \(-0.442935\pi\) | ||||
0.178317 | + | 0.983973i | \(0.442935\pi\) | |||||||
\(930\) | 5.78849 | − | 31.0860i | 0.189812 | − | 1.01935i | ||||
\(931\) | −0.632793 | − | 41.9076i | −0.0207389 | − | 1.37346i | ||||
\(932\) | 3.33164 | + | 12.4339i | 0.109132 | + | 0.407284i | ||||
\(933\) | 42.6066 | + | 2.24454i | 1.39488 | + | 0.0734828i | ||||
\(934\) | −8.83292 | + | 15.2991i | −0.289022 | + | 0.500600i | ||||
\(935\) | −3.71114 | − | 0.490729i | −0.121367 | − | 0.0160486i | ||||
\(936\) | 2.79093 | − | 3.83700i | 0.0912244 | − | 0.125416i | ||||
\(937\) | 22.9760 | + | 22.9760i | 0.750592 | + | 0.750592i | 0.974590 | − | 0.223998i | \(-0.0719108\pi\) |
−0.223998 | + | 0.974590i | \(0.571911\pi\) | |||||||
\(938\) | 13.9280 | − | 3.84493i | 0.454766 | − | 0.125541i | ||||
\(939\) | 29.4000 | + | 32.6699i | 0.959432 | + | 1.06614i | ||||
\(940\) | −0.605268 | + | 4.57734i | −0.0197417 | + | 0.149296i | ||||
\(941\) | − | 36.3208i | − | 1.18402i | −0.805929 | − | 0.592012i | \(-0.798334\pi\) | ||
0.805929 | − | 0.592012i | \(-0.201666\pi\) | |||||||
\(942\) | 0.752097 | − | 14.2766i | 0.0245046 | − | 0.465156i | ||||
\(943\) | 37.2026 | − | 37.2026i | 1.21148 | − | 1.21148i | ||||
\(944\) | −0.901848 | −0.0293527 | ||||||||
\(945\) | 22.1678 | − | 21.2977i | 0.721117 | − | 0.692813i | ||||
\(946\) | −12.2461 | −0.398155 | ||||||||
\(947\) | −8.17811 | + | 8.17811i | −0.265753 | + | 0.265753i | −0.827386 | − | 0.561633i | \(-0.810173\pi\) |
0.561633 | + | 0.827386i | \(0.310173\pi\) | |||||||
\(948\) | 0.641831 | − | 12.1835i | 0.0208457 | − | 0.395701i | ||||
\(949\) | − | 3.34167i | − | 0.108475i | ||||||
\(950\) | −29.2486 | − | 0.0332885i | −0.948950 | − | 0.00108002i | ||||
\(951\) | 12.3454 | + | 13.7185i | 0.400328 | + | 0.444852i | ||||
\(952\) | 5.74810 | + | 5.66196i | 0.186297 | + | 0.183505i | ||||
\(953\) | 39.2129 | + | 39.2129i | 1.27023 | + | 1.27023i | 0.945967 | + | 0.324263i | \(0.105116\pi\) |
0.324263 | + | 0.945967i | \(0.394884\pi\) | |||||||
\(954\) | −1.66534 | − | 3.74590i | −0.0539174 | − | 0.121278i | ||||
\(955\) | 30.5864 | − | 23.4421i | 0.989753 | − | 0.758570i | ||||
\(956\) | 3.96794 | − | 6.87267i | 0.128332 | − | 0.222278i | ||||
\(957\) | −18.9978 | − | 1.00081i | −0.614111 | − | 0.0323517i | ||||
\(958\) | 2.06120 | + | 7.69249i | 0.0665942 | + | 0.248533i | ||||
\(959\) | −30.8631 | + | 18.1308i | −0.996621 | + | 0.585475i | ||||
\(960\) | 21.2923 | − | 14.6074i | 0.687206 | − | 0.471453i | ||||
\(961\) | −38.8326 | −1.25267 | ||||||||
\(962\) | −0.764969 | + | 2.85490i | −0.0246636 | + | 0.0920458i | ||||
\(963\) | 0.595063 | + | 3.77036i | 0.0191757 | + | 0.121498i | ||||
\(964\) | −3.15001 | + | 5.45598i | −0.101455 | + | 0.175725i | ||||
\(965\) | 23.9786 | + | 3.17073i | 0.771900 | + | 0.102069i | ||||
\(966\) | −22.4170 | − | 24.5351i | −0.721255 | − | 0.789405i | ||||
\(967\) | −0.320359 | − | 1.19560i | −0.0103021 | − | 0.0384478i | 0.960583 | − | 0.277992i | \(-0.0896688\pi\) |
−0.970886 | + | 0.239544i | \(0.923002\pi\) | |||||||
\(968\) | 6.41638 | − | 23.9463i | 0.206230 | − | 0.769662i | ||||
\(969\) | 7.90082 | − | 7.11004i | 0.253811 | − | 0.228408i | ||||
\(970\) | 0.311231 | + | 0.129124i | 0.00999302 | + | 0.00414591i | ||||
\(971\) | −36.8435 | − | 21.2716i | −1.18237 | − | 0.682639i | −0.225805 | − | 0.974173i | \(-0.572501\pi\) |
−0.956561 | + | 0.291533i | \(0.905835\pi\) | |||||||
\(972\) | 15.7364 | + | 4.23951i | 0.504746 | + | 0.135982i | ||||
\(973\) | −32.9955 | − | 8.57468i | −1.05779 | − | 0.274892i | ||||
\(974\) | −3.44318 | + | 1.98792i | −0.110327 | + | 0.0636971i | ||||
\(975\) | −0.247399 | + | 4.59662i | −0.00792310 | + | 0.147210i | ||||
\(976\) | 11.2085i | 0.358776i | ||||||||
\(977\) | −5.18957 | + | 5.18957i | −0.166029 | + | 0.166029i | −0.785231 | − | 0.619202i | \(-0.787456\pi\) |
0.619202 | + | 0.785231i | \(0.287456\pi\) | |||||||
\(978\) | −3.14642 | − | 2.04452i | −0.100611 | − | 0.0653767i | ||||
\(979\) | 14.7766 | + | 25.5939i | 0.472264 | + | 0.817985i | ||||
\(980\) | −15.2082 | − | 6.04208i | −0.485807 | − | 0.193007i | ||||
\(981\) | −31.7795 | + | 14.1284i | −1.01464 | + | 0.451086i | ||||
\(982\) | 7.14274 | + | 26.6571i | 0.227934 | + | 0.850661i | ||||
\(983\) | 7.81104 | + | 29.1512i | 0.249133 | + | 0.929778i | 0.971261 | + | 0.238018i | \(0.0764978\pi\) |
−0.722127 | + | 0.691760i | \(0.756836\pi\) | |||||||
\(984\) | −35.7310 | + | 7.58470i | −1.13906 | + | 0.241792i | ||||
\(985\) | 1.93402 | − | 14.6261i | 0.0616231 | − | 0.466025i | ||||
\(986\) | 5.83117 | + | 3.36663i | 0.185702 | + | 0.107215i | ||||
\(987\) | −7.62625 | − | 4.87401i | −0.242746 | − | 0.155142i | ||||
\(988\) | −0.861181 | + | 3.21397i | −0.0273978 | + | 0.102250i | ||||
\(989\) | 49.3310 | + | 28.4813i | 1.56864 | + | 0.905652i | ||||
\(990\) | −7.75708 | − | 7.37762i | −0.246536 | − | 0.234476i | ||||
\(991\) | −25.4329 | − | 44.0511i | −0.807903 | − | 1.39933i | −0.914314 | − | 0.405007i | \(-0.867269\pi\) |
0.106411 | − | 0.994322i | \(-0.466064\pi\) | |||||||
\(992\) | −30.4527 | − | 30.4527i | −0.966875 | − | 0.966875i | ||||
\(993\) | 0.569223 | − | 10.8052i | 0.0180637 | − | 0.342892i | ||||
\(994\) | −14.2934 | − | 8.10905i | −0.453359 | − | 0.257203i | ||||
\(995\) | −10.6705 | − | 4.42696i | −0.338276 | − | 0.140344i | ||||
\(996\) | 6.74775 | + | 2.19450i | 0.213810 | + | 0.0695355i | ||||
\(997\) | −6.06203 | + | 1.62432i | −0.191986 | + | 0.0514426i | −0.353531 | − | 0.935423i | \(-0.615019\pi\) |
0.161545 | + | 0.986865i | \(0.448352\pi\) | |||||||
\(998\) | −6.26292 | + | 23.3735i | −0.198249 | + | 0.739876i | ||||
\(999\) | −29.4139 | + | 3.06727i | −0.930616 | + | 0.0970440i |
(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 | 315.2.bs.e.103.13 | yes | 160 | |
3.2 | odd | 2 | 945.2.bv.e.523.28 | 160 | |||
5.2 | odd | 4 | inner | 315.2.bs.e.292.13 | yes | 160 | |
7.3 | odd | 6 | 315.2.cg.e.283.13 | yes | 160 | ||
9.2 | odd | 6 | 945.2.cj.e.208.13 | 160 | |||
9.7 | even | 3 | 315.2.cg.e.313.28 | yes | 160 | ||
15.2 | even | 4 | 945.2.bv.e.712.28 | 160 | |||
21.17 | even | 6 | 945.2.cj.e.388.28 | 160 | |||
35.17 | even | 12 | 315.2.cg.e.157.28 | yes | 160 | ||
45.2 | even | 12 | 945.2.cj.e.397.28 | 160 | |||
45.7 | odd | 12 | 315.2.cg.e.187.13 | yes | 160 | ||
63.38 | even | 6 | 945.2.bv.e.73.28 | 160 | |||
63.52 | odd | 6 | inner | 315.2.bs.e.178.13 | yes | 160 | |
105.17 | odd | 12 | 945.2.cj.e.577.13 | 160 | |||
315.52 | even | 12 | inner | 315.2.bs.e.52.13 | ✓ | 160 | |
315.227 | odd | 12 | 945.2.bv.e.262.28 | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.13 | ✓ | 160 | 315.52 | even | 12 | inner | |
315.2.bs.e.103.13 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.178.13 | yes | 160 | 63.52 | odd | 6 | inner | |
315.2.bs.e.292.13 | yes | 160 | 5.2 | odd | 4 | inner | |
315.2.cg.e.157.28 | yes | 160 | 35.17 | even | 12 | ||
315.2.cg.e.187.13 | yes | 160 | 45.7 | odd | 12 | ||
315.2.cg.e.283.13 | yes | 160 | 7.3 | odd | 6 | ||
315.2.cg.e.313.28 | yes | 160 | 9.7 | even | 3 | ||
945.2.bv.e.73.28 | 160 | 63.38 | even | 6 | |||
945.2.bv.e.262.28 | 160 | 315.227 | odd | 12 | |||
945.2.bv.e.523.28 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.712.28 | 160 | 15.2 | even | 4 | |||
945.2.cj.e.208.13 | 160 | 9.2 | odd | 6 | |||
945.2.cj.e.388.28 | 160 | 21.17 | even | 6 | |||
945.2.cj.e.397.28 | 160 | 45.2 | even | 12 | |||
945.2.cj.e.577.13 | 160 | 105.17 | odd | 12 |