Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 104.2 | ||
Character | \(\chi\) | \(=\) | 189.104 |
Dual form | 189.2.be.a.20.2 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.878867 | + | 2.41467i | −0.621453 | + | 1.70743i | 0.0819501 | + | 0.996636i | \(0.473885\pi\) |
−0.703403 | + | 0.710791i | \(0.748337\pi\) | |||||||
\(3\) | 1.25404 | − | 1.19473i | 0.724021 | − | 0.689778i | ||||
\(4\) | −3.52612 | − | 2.95877i | −1.76306 | − | 1.47938i | ||||
\(5\) | 0.588152 | − | 3.33557i | 0.263029 | − | 1.49171i | −0.511559 | − | 0.859248i | \(-0.670932\pi\) |
0.774588 | − | 0.632466i | \(-0.217957\pi\) | |||||||
\(6\) | 1.78274 | + | 4.07810i | 0.727801 | + | 1.66488i | ||||
\(7\) | −2.64351 | + | 0.108907i | −0.999152 | + | 0.0411630i | ||||
\(8\) | 5.79269 | − | 3.34441i | 2.04803 | − | 1.18243i | ||||
\(9\) | 0.145238 | − | 2.99648i | 0.0484125 | − | 0.998827i | ||||
\(10\) | 7.53740 | + | 4.35172i | 2.38353 | + | 1.37613i | ||||
\(11\) | 4.55474 | − | 0.803123i | 1.37330 | − | 0.242151i | 0.562176 | − | 0.827018i | \(-0.309965\pi\) |
0.811129 | + | 0.584867i | \(0.198853\pi\) | |||||||
\(12\) | −7.95683 | + | 0.502350i | −2.29694 | + | 0.145016i | ||||
\(13\) | 0.619664 | + | 1.70251i | 0.171864 | + | 0.472192i | 0.995482 | − | 0.0949528i | \(-0.0302700\pi\) |
−0.823618 | + | 0.567145i | \(0.808048\pi\) | |||||||
\(14\) | 2.06032 | − | 6.47891i | 0.550643 | − | 1.73156i | ||||
\(15\) | −3.24755 | − | 4.88563i | −0.838513 | − | 1.26146i | ||||
\(16\) | 1.38602 | + | 7.86054i | 0.346506 | + | 1.96513i | ||||
\(17\) | 1.40471 | − | 2.43302i | 0.340692 | − | 0.590095i | −0.643870 | − | 0.765135i | \(-0.722672\pi\) |
0.984561 | + | 0.175040i | \(0.0560055\pi\) | |||||||
\(18\) | 7.10786 | + | 2.98421i | 1.67534 | + | 0.703385i | ||||
\(19\) | −0.586660 | + | 0.338709i | −0.134589 | + | 0.0777051i | −0.565783 | − | 0.824554i | \(-0.691426\pi\) |
0.431194 | + | 0.902259i | \(0.358093\pi\) | |||||||
\(20\) | −11.9431 | + | 10.0214i | −2.67056 | + | 2.24086i | ||||
\(21\) | −3.18495 | + | 3.29486i | −0.695014 | + | 0.718996i | ||||
\(22\) | −2.06373 | + | 11.7040i | −0.439989 | + | 2.49530i | ||||
\(23\) | −2.29937 | + | 2.74028i | −0.479451 | + | 0.571388i | −0.950502 | − | 0.310718i | \(-0.899430\pi\) |
0.471051 | + | 0.882106i | \(0.343875\pi\) | |||||||
\(24\) | 3.26860 | − | 11.1147i | 0.667201 | − | 2.26879i | ||||
\(25\) | −6.08167 | − | 2.21355i | −1.21633 | − | 0.442709i | ||||
\(26\) | −4.65561 | −0.913040 | ||||||||
\(27\) | −3.39786 | − | 3.93123i | −0.653918 | − | 0.756566i | ||||
\(28\) | 9.64357 | + | 7.43751i | 1.82246 | + | 1.40556i | ||||
\(29\) | −0.546385 | + | 1.50118i | −0.101461 | + | 0.278762i | −0.980029 | − | 0.198856i | \(-0.936277\pi\) |
0.878568 | + | 0.477618i | \(0.158500\pi\) | |||||||
\(30\) | 14.6513 | − | 3.54793i | 2.67496 | − | 0.647760i | ||||
\(31\) | −1.99247 | + | 2.37454i | −0.357859 | + | 0.426479i | −0.914696 | − | 0.404142i | \(-0.867570\pi\) |
0.556838 | + | 0.830621i | \(0.312015\pi\) | |||||||
\(32\) | −7.02429 | − | 1.23857i | −1.24173 | − | 0.218951i | ||||
\(33\) | 4.75231 | − | 6.44883i | 0.827271 | − | 1.12260i | ||||
\(34\) | 4.64039 | + | 5.53021i | 0.795821 | + | 0.948423i | ||||
\(35\) | −1.19152 | + | 8.88167i | −0.201403 | + | 1.50128i | ||||
\(36\) | −9.37802 | + | 10.1362i | −1.56300 | + | 1.68937i | ||||
\(37\) | −0.898066 | + | 1.55550i | −0.147641 | + | 0.255722i | −0.930355 | − | 0.366660i | \(-0.880501\pi\) |
0.782714 | + | 0.622381i | \(0.213835\pi\) | |||||||
\(38\) | −0.302272 | − | 1.71427i | −0.0490350 | − | 0.278091i | ||||
\(39\) | 2.81113 | + | 1.39469i | 0.450141 | + | 0.223329i | ||||
\(40\) | −7.74856 | − | 21.2890i | −1.22515 | − | 3.36608i | ||||
\(41\) | 11.6140 | − | 4.22715i | 1.81380 | − | 0.660169i | 0.817335 | − | 0.576163i | \(-0.195451\pi\) |
0.996465 | − | 0.0840066i | \(-0.0267717\pi\) | |||||||
\(42\) | −5.15683 | − | 10.5863i | −0.795716 | − | 1.63351i | ||||
\(43\) | −0.0534327 | − | 0.303032i | −0.00814840 | − | 0.0462119i | 0.980462 | − | 0.196706i | \(-0.0630246\pi\) |
−0.988611 | + | 0.150494i | \(0.951913\pi\) | |||||||
\(44\) | −18.4368 | − | 10.6445i | −2.77945 | − | 1.60472i | ||||
\(45\) | −9.90957 | − | 2.24684i | −1.47723 | − | 0.334939i | ||||
\(46\) | −4.59602 | − | 7.96055i | −0.677647 | − | 1.17372i | ||||
\(47\) | −2.22186 | + | 1.86436i | −0.324092 | + | 0.271945i | −0.790287 | − | 0.612736i | \(-0.790069\pi\) |
0.466196 | + | 0.884682i | \(0.345624\pi\) | |||||||
\(48\) | 11.1294 | + | 8.20151i | 1.60638 | + | 1.18379i | ||||
\(49\) | 6.97628 | − | 0.575794i | 0.996611 | − | 0.0822563i | ||||
\(50\) | 10.6900 | − | 12.7398i | 1.51179 | − | 1.80168i | ||||
\(51\) | −1.14525 | − | 4.72936i | −0.160367 | − | 0.662243i | ||||
\(52\) | 2.85233 | − | 7.83672i | 0.395547 | − | 1.08676i | ||||
\(53\) | 4.31910i | 0.593273i | 0.954990 | + | 0.296637i | \(0.0958650\pi\) | ||||
−0.954990 | + | 0.296637i | \(0.904135\pi\) | |||||||
\(54\) | 12.4789 | − | 4.74966i | 1.69816 | − | 0.646347i | ||||
\(55\) | − | 15.6650i | − | 2.11227i | ||||||
\(56\) | −14.9488 | + | 9.47185i | −1.99762 | + | 1.26573i | ||||
\(57\) | −0.331031 | + | 1.12566i | −0.0438461 | + | 0.149097i | ||||
\(58\) | −3.14465 | − | 2.63868i | −0.412913 | − | 0.346475i | ||||
\(59\) | −1.34243 | + | 7.61331i | −0.174770 | + | 0.991168i | 0.763640 | + | 0.645643i | \(0.223410\pi\) |
−0.938409 | + | 0.345525i | \(0.887701\pi\) | |||||||
\(60\) | −3.00420 | + | 26.8361i | −0.387840 | + | 3.46452i | ||||
\(61\) | 0.783123 | + | 0.933289i | 0.100269 | + | 0.119495i | 0.813845 | − | 0.581082i | \(-0.197370\pi\) |
−0.713577 | + | 0.700577i | \(0.752926\pi\) | |||||||
\(62\) | −3.98260 | − | 6.89806i | −0.505790 | − | 0.876055i | ||||
\(63\) | −0.0575983 | + | 7.93704i | −0.00725670 | + | 0.999974i | ||||
\(64\) | 1.18236 | − | 2.04791i | 0.147795 | − | 0.255988i | ||||
\(65\) | 6.04332 | − | 1.06560i | 0.749582 | − | 0.132171i | ||||
\(66\) | 11.3951 | + | 17.1429i | 1.40264 | + | 2.11015i | ||||
\(67\) | 0.826896 | − | 0.300966i | 0.101021 | − | 0.0367688i | −0.291015 | − | 0.956719i | \(-0.593993\pi\) |
0.392036 | + | 0.919950i | \(0.371771\pi\) | |||||||
\(68\) | −12.1519 | + | 4.42294i | −1.47364 | + | 0.536360i | ||||
\(69\) | 0.390395 | + | 6.18355i | 0.0469980 | + | 0.744411i | ||||
\(70\) | −20.3991 | − | 10.6829i | −2.43816 | − | 1.27685i | ||||
\(71\) | 11.6410 | + | 6.72094i | 1.38153 | + | 0.797629i | 0.992341 | − | 0.123527i | \(-0.0394205\pi\) |
0.389193 | + | 0.921156i | \(0.372754\pi\) | |||||||
\(72\) | −9.18016 | − | 17.8434i | −1.08189 | − | 2.10287i | ||||
\(73\) | −11.2992 | + | 6.52362i | −1.32248 | + | 0.763532i | −0.984123 | − | 0.177487i | \(-0.943203\pi\) |
−0.338354 | + | 0.941019i | \(0.609870\pi\) | |||||||
\(74\) | −2.96672 | − | 3.53560i | −0.344875 | − | 0.411006i | ||||
\(75\) | −10.2713 | + | 4.49008i | −1.18602 | + | 0.518470i | ||||
\(76\) | 3.07080 | + | 0.541464i | 0.352244 | + | 0.0621102i | ||||
\(77\) | −11.9530 | + | 2.61911i | −1.36217 | + | 0.298475i | ||||
\(78\) | −5.83832 | + | 5.56220i | −0.661060 | + | 0.629795i | ||||
\(79\) | 13.7757 | + | 5.01396i | 1.54989 | + | 0.564115i | 0.968392 | − | 0.249432i | \(-0.0802438\pi\) |
0.581500 | + | 0.813546i | \(0.302466\pi\) | |||||||
\(80\) | 27.0346 | 3.02256 | ||||||||
\(81\) | −8.95781 | − | 0.870403i | −0.995312 | − | 0.0967115i | ||||
\(82\) | 31.7590i | 3.50720i | ||||||||
\(83\) | 6.55767 | + | 2.38680i | 0.719798 | + | 0.261985i | 0.675840 | − | 0.737048i | \(-0.263781\pi\) |
0.0439581 | + | 0.999033i | \(0.486003\pi\) | |||||||
\(84\) | 20.9792 | − | 2.19452i | 2.28902 | − | 0.239442i | ||||
\(85\) | −7.28935 | − | 6.11649i | −0.790642 | − | 0.663427i | ||||
\(86\) | 0.778681 | + | 0.137302i | 0.0839673 | + | 0.0148057i | ||||
\(87\) | 1.10832 | + | 2.53533i | 0.118824 | + | 0.271816i | ||||
\(88\) | 23.6982 | − | 19.8852i | 2.52624 | − | 2.11977i | ||||
\(89\) | −8.53240 | − | 14.7785i | −0.904432 | − | 1.56652i | −0.821678 | − | 0.569952i | \(-0.806962\pi\) |
−0.0827545 | − | 0.996570i | \(-0.526372\pi\) | |||||||
\(90\) | 14.1346 | − | 21.9536i | 1.48991 | − | 2.31412i | ||||
\(91\) | −1.82350 | − | 4.43313i | −0.191155 | − | 0.464718i | ||||
\(92\) | 16.2157 | − | 2.85927i | 1.69060 | − | 0.298099i | ||||
\(93\) | 0.338289 | + | 5.35823i | 0.0350789 | + | 0.555623i | ||||
\(94\) | −2.54910 | − | 7.00358i | −0.262919 | − | 0.722364i | ||||
\(95\) | 0.784742 | + | 2.15606i | 0.0805128 | + | 0.221207i | ||||
\(96\) | −10.2885 | + | 6.83891i | −1.05007 | + | 0.697994i | ||||
\(97\) | 5.81042 | − | 1.02453i | 0.589959 | − | 0.104026i | 0.129304 | − | 0.991605i | \(-0.458726\pi\) |
0.460655 | + | 0.887579i | \(0.347615\pi\) | |||||||
\(98\) | −4.74087 | + | 17.3514i | −0.478900 | + | 1.75276i | ||||
\(99\) | −1.74502 | − | 13.7648i | −0.175382 | − | 1.38342i | ||||
\(100\) | 14.8953 | + | 25.7995i | 1.48953 | + | 2.57995i | ||||
\(101\) | 4.44425 | − | 3.72917i | 0.442219 | − | 0.371066i | −0.394320 | − | 0.918973i | \(-0.629020\pi\) |
0.836539 | + | 0.547907i | \(0.184575\pi\) | |||||||
\(102\) | 12.4264 | + | 1.39108i | 1.23039 | + | 0.137738i | ||||
\(103\) | −1.31146 | − | 0.231246i | −0.129222 | − | 0.0227853i | 0.108663 | − | 0.994079i | \(-0.465343\pi\) |
−0.237885 | + | 0.971293i | \(0.576454\pi\) | |||||||
\(104\) | 9.28344 | + | 7.78973i | 0.910316 | + | 0.763846i | ||||
\(105\) | 9.11700 | + | 12.5615i | 0.889728 | + | 1.22588i | ||||
\(106\) | −10.4292 | − | 3.79591i | −1.01297 | − | 0.368691i | ||||
\(107\) | 5.37579i | 0.519697i | 0.965649 | + | 0.259848i | \(0.0836726\pi\) | ||||
−0.965649 | + | 0.259848i | \(0.916327\pi\) | |||||||
\(108\) | 0.349653 | + | 23.9155i | 0.0336453 | + | 2.30127i | ||||
\(109\) | −8.37864 | −0.802529 | −0.401264 | − | 0.915962i | \(-0.631429\pi\) | ||||
−0.401264 | + | 0.915962i | \(0.631429\pi\) | |||||||
\(110\) | 37.8258 | + | 13.7675i | 3.60655 | + | 1.31268i | ||||
\(111\) | 0.732187 | + | 3.02360i | 0.0694961 | + | 0.286988i | ||||
\(112\) | −4.52004 | − | 20.6284i | −0.427103 | − | 1.94920i | ||||
\(113\) | −11.4667 | − | 2.02188i | −1.07869 | − | 0.190203i | −0.394056 | − | 0.919086i | \(-0.628929\pi\) |
−0.684638 | + | 0.728883i | \(0.740040\pi\) | |||||||
\(114\) | −2.42715 | − | 1.78863i | −0.227324 | − | 0.167521i | ||||
\(115\) | 7.78803 | + | 9.28141i | 0.726237 | + | 0.865496i | ||||
\(116\) | 6.36827 | − | 3.67672i | 0.591279 | − | 0.341375i | ||||
\(117\) | 5.19155 | − | 1.60954i | 0.479959 | − | 0.148802i | ||||
\(118\) | −17.2038 | − | 9.93261i | −1.58374 | − | 0.914371i | ||||
\(119\) | −3.44838 | + | 6.58471i | −0.316113 | + | 0.603619i | ||||
\(120\) | −35.1516 | − | 17.4398i | −3.20889 | − | 1.59203i | ||||
\(121\) | 9.76399 | − | 3.55380i | 0.887636 | − | 0.323073i | ||||
\(122\) | −2.94184 | + | 1.07074i | −0.266342 | + | 0.0969406i | ||||
\(123\) | 9.51412 | − | 19.1766i | 0.857859 | − | 1.72910i | ||||
\(124\) | 14.0514 | − | 2.47764i | 1.26185 | − | 0.222499i | ||||
\(125\) | −2.49282 | + | 4.31769i | −0.222964 | + | 0.386186i | ||||
\(126\) | −19.1147 | − | 7.11469i | −1.70287 | − | 0.633827i | ||||
\(127\) | 6.11354 | + | 10.5890i | 0.542489 | + | 0.939618i | 0.998760 | + | 0.0497777i | \(0.0158513\pi\) |
−0.456271 | + | 0.889841i | \(0.650815\pi\) | |||||||
\(128\) | −5.26368 | − | 6.27301i | −0.465248 | − | 0.554461i | ||||
\(129\) | −0.429048 | − | 0.316176i | −0.0377756 | − | 0.0278378i | ||||
\(130\) | −2.73820 | + | 15.5291i | −0.240156 | + | 1.36199i | ||||
\(131\) | −9.11926 | − | 7.65197i | −0.796753 | − | 0.668556i | 0.150654 | − | 0.988587i | \(-0.451862\pi\) |
−0.947407 | + | 0.320031i | \(0.896307\pi\) | |||||||
\(132\) | −35.8378 | + | 8.67839i | −3.11928 | + | 0.755357i | ||||
\(133\) | 1.51395 | − | 0.959270i | 0.131276 | − | 0.0831793i | ||||
\(134\) | 2.26119i | 0.195337i | ||||||||
\(135\) | −15.1114 | + | 9.02164i | −1.30058 | + | 0.776459i | ||||
\(136\) | − | 18.7917i | − | 1.61137i | ||||||
\(137\) | 2.07270 | − | 5.69469i | 0.177082 | − | 0.486530i | −0.819118 | − | 0.573626i | \(-0.805536\pi\) |
0.996200 | + | 0.0870958i | \(0.0277586\pi\) | |||||||
\(138\) | −15.2743 | − | 4.49184i | −1.30024 | − | 0.382371i | ||||
\(139\) | −3.77560 | + | 4.49958i | −0.320242 | + | 0.381650i | −0.902017 | − | 0.431700i | \(-0.857914\pi\) |
0.581775 | + | 0.813350i | \(0.302358\pi\) | |||||||
\(140\) | 30.4802 | − | 27.7925i | 2.57605 | − | 2.34889i | ||||
\(141\) | −0.558893 | + | 4.99251i | −0.0470673 | + | 0.420445i | ||||
\(142\) | −26.4597 | + | 22.2024i | −2.22045 | + | 1.86318i | ||||
\(143\) | 4.18974 | + | 7.25684i | 0.350363 | + | 0.606847i | ||||
\(144\) | 23.7553 | − | 3.01155i | 1.97960 | − | 0.250963i | ||||
\(145\) | 4.68594 | + | 2.70543i | 0.389147 | + | 0.224674i | ||||
\(146\) | −5.82184 | − | 33.0173i | −0.481819 | − | 2.73253i | ||||
\(147\) | 8.06062 | − | 9.05684i | 0.664829 | − | 0.746996i | ||||
\(148\) | 7.76904 | − | 2.82770i | 0.638611 | − | 0.232435i | ||||
\(149\) | −3.41781 | − | 9.39037i | −0.279998 | − | 0.769289i | −0.997362 | − | 0.0725900i | \(-0.976874\pi\) |
0.717364 | − | 0.696699i | \(-0.245349\pi\) | |||||||
\(150\) | −1.81498 | − | 28.7479i | −0.148192 | − | 2.34725i | ||||
\(151\) | 1.48657 | + | 8.43073i | 0.120975 | + | 0.686083i | 0.983617 | + | 0.180269i | \(0.0576968\pi\) |
−0.862642 | + | 0.505814i | \(0.831192\pi\) | |||||||
\(152\) | −2.26556 | + | 3.92407i | −0.183761 | + | 0.318284i | ||||
\(153\) | −7.08650 | − | 4.56255i | −0.572910 | − | 0.368860i | ||||
\(154\) | 4.18085 | − | 31.1644i | 0.336902 | − | 2.51130i | ||||
\(155\) | 6.74857 | + | 8.04263i | 0.542058 | + | 0.645999i | ||||
\(156\) | −5.78583 | − | 13.2353i | −0.463237 | − | 1.05967i | ||||
\(157\) | −0.122753 | − | 0.0216446i | −0.00979672 | − | 0.00172743i | 0.168748 | − | 0.985659i | \(-0.446028\pi\) |
−0.178544 | + | 0.983932i | \(0.557139\pi\) | |||||||
\(158\) | −24.2141 | + | 28.8572i | −1.92637 | + | 2.29576i | ||||
\(159\) | 5.16016 | + | 5.41632i | 0.409227 | + | 0.429542i | ||||
\(160\) | −8.26270 | + | 22.7016i | −0.653224 | + | 1.79472i | ||||
\(161\) | 5.77996 | − | 7.49437i | 0.455525 | − | 0.590639i | ||||
\(162\) | 9.97446 | − | 20.8652i | 0.783668 | − | 1.63932i | ||||
\(163\) | −11.4176 | −0.894293 | −0.447146 | − | 0.894461i | \(-0.647560\pi\) | ||||
−0.447146 | + | 0.894461i | \(0.647560\pi\) | |||||||
\(164\) | −53.4595 | − | 19.4577i | −4.17448 | − | 1.51939i | ||||
\(165\) | −18.7155 | − | 19.6446i | −1.45700 | − | 1.52933i | ||||
\(166\) | −11.5266 | + | 13.7369i | −0.894641 | + | 1.06619i | ||||
\(167\) | 1.76953 | − | 10.0355i | 0.136930 | − | 0.776570i | −0.836566 | − | 0.547866i | \(-0.815440\pi\) |
0.973496 | − | 0.228703i | \(-0.0734486\pi\) | |||||||
\(168\) | −7.43011 | + | 29.7379i | −0.573245 | + | 2.29433i | ||||
\(169\) | 7.44401 | − | 6.24626i | 0.572616 | − | 0.480482i | ||||
\(170\) | 21.1757 | − | 12.2258i | 1.62410 | − | 0.937675i | ||||
\(171\) | 0.929729 | + | 1.80711i | 0.0710982 | + | 0.138193i | ||||
\(172\) | −0.708190 | + | 1.22662i | −0.0539990 | + | 0.0935290i | ||||
\(173\) | 3.27964 | + | 18.5997i | 0.249346 | + | 1.41411i | 0.810179 | + | 0.586183i | \(0.199370\pi\) |
−0.560832 | + | 0.827929i | \(0.689519\pi\) | |||||||
\(174\) | −7.09603 | + | 0.448004i | −0.537949 | + | 0.0339631i | ||||
\(175\) | 16.3180 | + | 5.18919i | 1.23353 | + | 0.392266i | ||||
\(176\) | 12.6260 | + | 34.6895i | 0.951717 | + | 2.61482i | ||||
\(177\) | 7.41239 | + | 11.1512i | 0.557149 | + | 0.838179i | ||||
\(178\) | 43.1841 | − | 7.61452i | 3.23679 | − | 0.570733i | ||||
\(179\) | −4.68484 | − | 2.70479i | −0.350161 | − | 0.202166i | 0.314595 | − | 0.949226i | \(-0.398131\pi\) |
−0.664756 | + | 0.747060i | \(0.731465\pi\) | |||||||
\(180\) | 28.2945 | + | 37.2427i | 2.10895 | + | 2.77591i | ||||
\(181\) | −1.56807 | + | 0.905328i | −0.116554 | + | 0.0672925i | −0.557144 | − | 0.830416i | \(-0.688103\pi\) |
0.440590 | + | 0.897709i | \(0.354769\pi\) | |||||||
\(182\) | 12.3071 | − | 0.507029i | 0.912266 | − | 0.0375835i | ||||
\(183\) | 2.09710 | + | 0.234762i | 0.155022 | + | 0.0173541i | ||||
\(184\) | −4.15490 | + | 23.5636i | −0.306304 | + | 1.73713i | ||||
\(185\) | 4.66027 | + | 3.91043i | 0.342630 | + | 0.287501i | ||||
\(186\) | −13.2357 | − | 3.89232i | −0.970486 | − | 0.285399i | ||||
\(187\) | 4.44405 | − | 12.2099i | 0.324981 | − | 0.892879i | ||||
\(188\) | 13.3508 | 0.973705 | ||||||||
\(189\) | 9.41040 | + | 10.0222i | 0.684506 | + | 0.729007i | ||||
\(190\) | −5.89585 | −0.427730 | ||||||||
\(191\) | −4.04999 | + | 11.1272i | −0.293047 | + | 0.805139i | 0.702570 | + | 0.711614i | \(0.252036\pi\) |
−0.995617 | + | 0.0935249i | \(0.970187\pi\) | |||||||
\(192\) | −0.963970 | − | 3.98076i | −0.0695685 | − | 0.287287i | ||||
\(193\) | 13.2951 | + | 11.1559i | 0.957000 | + | 0.803018i | 0.980462 | − | 0.196707i | \(-0.0630247\pi\) |
−0.0234627 | + | 0.999725i | \(0.507469\pi\) | |||||||
\(194\) | −2.63268 | + | 14.9307i | −0.189015 | + | 1.07196i | ||||
\(195\) | 6.30546 | − | 8.55645i | 0.451544 | − | 0.612740i | ||||
\(196\) | −26.3029 | − | 18.6109i | −1.87878 | − | 1.32935i | ||||
\(197\) | 14.3984 | − | 8.31290i | 1.02584 | − | 0.592270i | 0.110051 | − | 0.993926i | \(-0.464899\pi\) |
0.915791 | + | 0.401656i | \(0.131565\pi\) | |||||||
\(198\) | 34.7711 | + | 7.88380i | 2.47108 | + | 0.560277i | ||||
\(199\) | −19.4018 | − | 11.2016i | −1.37536 | − | 0.794062i | −0.383760 | − | 0.923433i | \(-0.625371\pi\) |
−0.991596 | + | 0.129371i | \(0.958704\pi\) | |||||||
\(200\) | −42.6323 | + | 7.51722i | −3.01456 | + | 0.531548i | ||||
\(201\) | 0.677389 | − | 1.36534i | 0.0477793 | − | 0.0963038i | ||||
\(202\) | 5.09879 | + | 14.0088i | 0.358750 | + | 0.985657i | ||||
\(203\) | 1.28089 | − | 4.02789i | 0.0899005 | − | 0.282703i | ||||
\(204\) | −9.95479 | + | 20.0648i | −0.696975 | + | 1.40482i | ||||
\(205\) | −7.26917 | − | 41.2255i | −0.507701 | − | 2.87932i | ||||
\(206\) | 1.71098 | − | 2.96350i | 0.119210 | − | 0.206477i | ||||
\(207\) | 7.87724 | + | 7.28800i | 0.547506 | + | 0.506551i | ||||
\(208\) | −12.5238 | + | 7.23062i | −0.868369 | + | 0.501353i | ||||
\(209\) | −2.40006 | + | 2.01389i | −0.166016 | + | 0.139304i | ||||
\(210\) | −38.3445 | + | 10.9746i | −2.64602 | + | 0.757320i | ||||
\(211\) | 1.47800 | − | 8.38217i | 0.101750 | − | 0.577052i | −0.890719 | − | 0.454554i | \(-0.849798\pi\) |
0.992469 | − | 0.122498i | \(-0.0390904\pi\) | |||||||
\(212\) | 12.7792 | − | 15.2297i | 0.877679 | − | 1.04598i | ||||
\(213\) | 22.6280 | − | 5.47954i | 1.55045 | − | 0.375452i | ||||
\(214\) | −12.9807 | − | 4.72460i | −0.887345 | − | 0.322967i | ||||
\(215\) | −1.04221 | −0.0710782 | ||||||||
\(216\) | −32.8304 | − | 11.4086i | −2.23383 | − | 0.776256i | ||||
\(217\) | 5.00851 | − | 6.49410i | 0.340000 | − | 0.440848i | ||||
\(218\) | 7.36371 | − | 20.2316i | 0.498734 | − | 1.37026i | ||||
\(219\) | −6.37575 | + | 21.6804i | −0.430833 | + | 1.46503i | ||||
\(220\) | −46.3492 | + | 55.2368i | −3.12486 | + | 3.72406i | ||||
\(221\) | 5.01271 | + | 0.883876i | 0.337191 | + | 0.0594559i | ||||
\(222\) | −7.94449 | − | 0.889356i | −0.533199 | − | 0.0596897i | ||||
\(223\) | 1.93481 | + | 2.30582i | 0.129565 | + | 0.154409i | 0.826926 | − | 0.562310i | \(-0.190087\pi\) |
−0.697362 | + | 0.716719i | \(0.745643\pi\) | |||||||
\(224\) | 18.7037 | + | 2.50918i | 1.24969 | + | 0.167652i | ||||
\(225\) | −7.51614 | + | 17.9021i | −0.501076 | + | 1.19348i | ||||
\(226\) | 14.9599 | − | 25.9112i | 0.995115 | − | 1.72359i | ||||
\(227\) | 1.74616 | + | 9.90298i | 0.115897 | + | 0.657284i | 0.986302 | + | 0.164948i | \(0.0527457\pi\) |
−0.870405 | + | 0.492336i | \(0.836143\pi\) | |||||||
\(228\) | 4.49781 | − | 2.98976i | 0.297875 | − | 0.198001i | ||||
\(229\) | −8.78597 | − | 24.1392i | −0.580593 | − | 1.59517i | −0.787170 | − | 0.616736i | \(-0.788455\pi\) |
0.206577 | − | 0.978430i | \(-0.433768\pi\) | |||||||
\(230\) | −29.2562 | + | 10.6484i | −1.92909 | + | 0.702133i | ||||
\(231\) | −11.8605 | + | 17.5651i | −0.780360 | + | 1.15570i | ||||
\(232\) | 1.85553 | + | 10.5232i | 0.121821 | + | 0.690884i | ||||
\(233\) | 0.222223 | + | 0.128301i | 0.0145583 | + | 0.00840525i | 0.507261 | − | 0.861792i | \(-0.330658\pi\) |
−0.492703 | + | 0.870197i | \(0.663991\pi\) | |||||||
\(234\) | −0.676169 | + | 13.9504i | −0.0442025 | + | 0.911969i | ||||
\(235\) | 4.91193 | + | 8.50771i | 0.320419 | + | 0.554982i | ||||
\(236\) | 27.2596 | − | 22.8735i | 1.77445 | − | 1.48894i | ||||
\(237\) | 23.2657 | − | 10.1706i | 1.51127 | − | 0.660651i | ||||
\(238\) | −12.8692 | − | 14.1138i | −0.834187 | − | 0.914860i | ||||
\(239\) | 8.49409 | − | 10.1229i | 0.549437 | − | 0.654794i | −0.417838 | − | 0.908521i | \(-0.637212\pi\) |
0.967276 | + | 0.253727i | \(0.0816566\pi\) | |||||||
\(240\) | 33.9025 | − | 32.2991i | 2.18840 | − | 2.08490i | ||||
\(241\) | 4.64833 | − | 12.7712i | 0.299425 | − | 0.822664i | −0.695171 | − | 0.718844i | \(-0.744671\pi\) |
0.994596 | − | 0.103820i | \(-0.0331064\pi\) | |||||||
\(242\) | 26.7001i | 1.71635i | ||||||||
\(243\) | −12.2734 | + | 9.61065i | −0.787336 | + | 0.616524i | ||||
\(244\) | − | 5.60797i | − | 0.359014i | ||||||
\(245\) | 2.18251 | − | 23.6085i | 0.139435 | − | 1.50829i | ||||
\(246\) | 37.9435 | + | 39.8271i | 2.41919 | + | 2.53928i | ||||
\(247\) | −0.940189 | − | 0.788912i | −0.0598228 | − | 0.0501973i | ||||
\(248\) | −3.60035 | + | 20.4186i | −0.228623 | + | 1.29658i | ||||
\(249\) | 11.0752 | − | 4.84151i | 0.701861 | − | 0.306818i | ||||
\(250\) | −8.23493 | − | 9.81400i | −0.520822 | − | 0.620692i | ||||
\(251\) | 11.8874 | + | 20.5896i | 0.750326 | + | 1.29960i | 0.947665 | + | 0.319268i | \(0.103437\pi\) |
−0.197338 | + | 0.980335i | \(0.563230\pi\) | |||||||
\(252\) | 23.6870 | − | 27.8166i | 1.49214 | − | 1.75228i | ||||
\(253\) | −8.27223 | + | 14.3279i | −0.520071 | + | 0.900789i | ||||
\(254\) | −30.9418 | + | 5.45588i | −1.94146 | + | 0.342332i | ||||
\(255\) | −16.4487 | + | 1.03848i | −1.03006 | + | 0.0650321i | ||||
\(256\) | 24.2175 | − | 8.81446i | 1.51360 | − | 0.550904i | ||||
\(257\) | 9.29984 | − | 3.38487i | 0.580108 | − | 0.211142i | −0.0352650 | − | 0.999378i | \(-0.511228\pi\) |
0.615373 | + | 0.788236i | \(0.289005\pi\) | |||||||
\(258\) | 1.14054 | − | 0.758131i | 0.0710067 | − | 0.0471992i | ||||
\(259\) | 2.20464 | − | 4.20977i | 0.136990 | − | 0.261583i | ||||
\(260\) | −24.4623 | − | 14.1233i | −1.51709 | − | 0.875893i | ||||
\(261\) | 4.41891 | + | 1.85526i | 0.273524 | + | 0.114838i | ||||
\(262\) | 26.4916 | − | 15.2949i | 1.63665 | − | 0.944923i | ||||
\(263\) | 6.43655 | + | 7.67078i | 0.396895 | + | 0.473001i | 0.927070 | − | 0.374887i | \(-0.122319\pi\) |
−0.530176 | + | 0.847888i | \(0.677874\pi\) | |||||||
\(264\) | 5.96112 | − | 53.2498i | 0.366882 | − | 3.27730i | ||||
\(265\) | 14.4067 | + | 2.54028i | 0.884994 | + | 0.156048i | ||||
\(266\) | 0.985755 | + | 4.49877i | 0.0604405 | + | 0.275837i | ||||
\(267\) | −28.3564 | − | 8.33898i | −1.73538 | − | 0.510338i | ||||
\(268\) | −3.80623 | − | 1.38535i | −0.232502 | − | 0.0846239i | ||||
\(269\) | −14.5115 | −0.884779 | −0.442389 | − | 0.896823i | \(-0.645869\pi\) | ||||
−0.442389 | + | 0.896823i | \(0.645869\pi\) | |||||||
\(270\) | −8.50337 | − | 44.4178i | −0.517499 | − | 2.70318i | ||||
\(271\) | − | 0.249134i | − | 0.0151338i | −0.999971 | − | 0.00756690i | \(-0.997591\pi\) | ||
0.999971 | − | 0.00756690i | \(-0.00240864\pi\) | |||||||
\(272\) | 21.0718 | + | 7.66952i | 1.27767 | + | 0.465033i | ||||
\(273\) | −7.58314 | − | 3.38072i | −0.458953 | − | 0.204611i | ||||
\(274\) | 11.9292 | + | 10.0097i | 0.720666 | + | 0.604711i | ||||
\(275\) | −29.4782 | − | 5.19779i | −1.77760 | − | 0.313439i | ||||
\(276\) | 16.9191 | − | 22.9590i | 1.01841 | − | 1.38197i | ||||
\(277\) | −11.2035 | + | 9.40083i | −0.673151 | + | 0.564841i | −0.913996 | − | 0.405723i | \(-0.867020\pi\) |
0.240845 | + | 0.970564i | \(0.422575\pi\) | |||||||
\(278\) | −7.54675 | − | 13.0714i | −0.452624 | − | 0.783967i | ||||
\(279\) | 6.82587 | + | 6.31528i | 0.408654 | + | 0.378086i | ||||
\(280\) | 22.8019 | + | 55.4338i | 1.36267 | + | 3.31280i | ||||
\(281\) | −23.4578 | + | 4.13624i | −1.39937 | + | 0.246747i | −0.821886 | − | 0.569652i | \(-0.807078\pi\) |
−0.577488 | + | 0.816399i | \(0.695967\pi\) | |||||||
\(282\) | −11.5641 | − | 5.73730i | −0.688630 | − | 0.341651i | ||||
\(283\) | 6.60507 | + | 18.1473i | 0.392630 | + | 1.07874i | 0.965796 | + | 0.259303i | \(0.0834930\pi\) |
−0.573166 | + | 0.819440i | \(0.694285\pi\) | |||||||
\(284\) | −21.1619 | − | 58.1419i | −1.25573 | − | 3.45009i | ||||
\(285\) | 3.56001 | + | 1.76623i | 0.210877 | + | 0.104623i | ||||
\(286\) | −21.2051 | + | 3.73903i | −1.25388 | + | 0.221093i | ||||
\(287\) | −30.2413 | + | 12.4393i | −1.78509 | + | 0.734271i | ||||
\(288\) | −4.73155 | + | 20.8683i | −0.278809 | + | 1.22967i | ||||
\(289\) | 4.55359 | + | 7.88705i | 0.267858 | + | 0.463944i | ||||
\(290\) | −10.6510 | + | 8.93728i | −0.625451 | + | 0.524815i | ||||
\(291\) | 6.06246 | − | 8.22670i | 0.355388 | − | 0.482257i | ||||
\(292\) | 59.1444 | + | 10.4288i | 3.46117 | + | 0.610297i | ||||
\(293\) | −17.3375 | − | 14.5479i | −1.01287 | − | 0.849899i | −0.0241549 | − | 0.999708i | \(-0.507690\pi\) |
−0.988715 | + | 0.149810i | \(0.952134\pi\) | |||||||
\(294\) | 14.7850 | + | 27.4235i | 0.862282 | + | 1.59937i | ||||
\(295\) | 24.6052 | + | 8.95556i | 1.43257 | + | 0.521413i | ||||
\(296\) | 12.0140i | 0.698301i | ||||||||
\(297\) | −18.6336 | − | 15.1768i | −1.08123 | − | 0.880649i | ||||
\(298\) | 25.6784 | 1.48751 | ||||||||
\(299\) | −6.09020 | − | 2.21665i | −0.352205 | − | 0.128192i | ||||
\(300\) | 49.5028 | + | 14.5577i | 2.85805 | + | 0.840489i | ||||
\(301\) | 0.174252 | + | 0.795248i | 0.0100437 | + | 0.0458373i | ||||
\(302\) | −21.6639 | − | 3.81993i | −1.24662 | − | 0.219812i | ||||
\(303\) | 1.11792 | − | 9.98621i | 0.0642228 | − | 0.573693i | ||||
\(304\) | −3.47556 | − | 4.14201i | −0.199337 | − | 0.237560i | ||||
\(305\) | 3.57365 | − | 2.06325i | 0.204627 | − | 0.118141i | ||||
\(306\) | 17.2451 | − | 13.1017i | 0.985838 | − | 0.748972i | ||||
\(307\) | −3.45170 | − | 1.99284i | −0.196999 | − | 0.113737i | 0.398256 | − | 0.917274i | \(-0.369616\pi\) |
−0.595255 | + | 0.803537i | \(0.702949\pi\) | |||||||
\(308\) | 49.8971 | + | 26.1309i | 2.84315 | + | 1.48895i | ||||
\(309\) | −1.92090 | + | 1.27685i | −0.109276 | + | 0.0726374i | ||||
\(310\) | −25.3514 | + | 9.22714i | −1.43986 | + | 0.524066i | ||||
\(311\) | 2.45813 | − | 0.894685i | 0.139388 | − | 0.0507329i | −0.271384 | − | 0.962471i | \(-0.587481\pi\) |
0.410772 | + | 0.911738i | \(0.365259\pi\) | |||||||
\(312\) | 20.9484 | − | 1.32257i | 1.18597 | − | 0.0748757i | ||||
\(313\) | −25.8005 | + | 4.54932i | −1.45833 | + | 0.257143i | −0.845882 | − | 0.533369i | \(-0.820926\pi\) |
−0.612446 | + | 0.790512i | \(0.709814\pi\) | |||||||
\(314\) | 0.160148 | − | 0.277384i | 0.00903765 | − | 0.0156537i | ||||
\(315\) | 26.4407 | + | 4.86031i | 1.48977 | + | 0.273847i | ||||
\(316\) | −33.7398 | − | 58.4391i | −1.89801 | − | 3.28746i | ||||
\(317\) | −3.22194 | − | 3.83976i | −0.180962 | − | 0.215662i | 0.667936 | − | 0.744219i | \(-0.267178\pi\) |
−0.848898 | + | 0.528556i | \(0.822734\pi\) | |||||||
\(318\) | −17.6137 | + | 7.69983i | −0.987728 | + | 0.431785i | ||||
\(319\) | −1.28301 | + | 7.27630i | −0.0718347 | + | 0.407395i | ||||
\(320\) | −6.13554 | − | 5.14833i | −0.342987 | − | 0.287800i | ||||
\(321\) | 6.42262 | + | 6.74146i | 0.358476 | + | 0.376271i | ||||
\(322\) | 13.0166 | + | 20.5432i | 0.725386 | + | 1.14483i | ||||
\(323\) | 1.90315i | 0.105894i | ||||||||
\(324\) | 29.0110 | + | 29.5732i | 1.61172 | + | 1.64296i | ||||
\(325\) | − | 11.7258i | − | 0.650430i | ||||||
\(326\) | 10.0345 | − | 27.5696i | 0.555761 | − | 1.52694i | ||||
\(327\) | −10.5072 | + | 10.0102i | −0.581047 | + | 0.553567i | ||||
\(328\) | 53.1390 | − | 63.3286i | 2.93411 | − | 3.49673i | ||||
\(329\) | 5.67047 | − | 5.17044i | 0.312623 | − | 0.285055i | ||||
\(330\) | 63.8835 | − | 27.9267i | 3.51667 | − | 1.53731i | ||||
\(331\) | 5.54912 | − | 4.65626i | 0.305007 | − | 0.255931i | −0.477418 | − | 0.878677i | \(-0.658427\pi\) |
0.782425 | + | 0.622745i | \(0.213983\pi\) | |||||||
\(332\) | −16.0612 | − | 27.8188i | −0.881472 | − | 1.52675i | ||||
\(333\) | 4.53058 | + | 2.91695i | 0.248274 | + | 0.159848i | ||||
\(334\) | 22.6772 | + | 13.0927i | 1.24084 | + | 0.716400i | ||||
\(335\) | −0.517553 | − | 2.93519i | −0.0282769 | − | 0.160366i | ||||
\(336\) | −30.3137 | − | 20.4687i | −1.65375 | − | 1.11666i | ||||
\(337\) | 0.545928 | − | 0.198702i | 0.0297386 | − | 0.0108240i | −0.327108 | − | 0.944987i | \(-0.606074\pi\) |
0.356847 | + | 0.934163i | \(0.383852\pi\) | |||||||
\(338\) | 8.54036 | + | 23.4644i | 0.464534 | + | 1.27630i | ||||
\(339\) | −16.7953 | + | 11.1641i | −0.912195 | + | 0.606349i | ||||
\(340\) | 7.60587 | + | 43.1350i | 0.412486 | + | 2.33932i | ||||
\(341\) | −7.16814 | + | 12.4156i | −0.388177 | + | 0.672342i | ||||
\(342\) | −5.18068 | + | 0.656776i | −0.280139 | + | 0.0355144i | ||||
\(343\) | −18.3791 | + | 2.28188i | −0.992381 | + | 0.123210i | ||||
\(344\) | −1.32298 | − | 1.57667i | −0.0713304 | − | 0.0850083i | ||||
\(345\) | 20.8553 | + | 2.33467i | 1.12281 | + | 0.125695i | ||||
\(346\) | −47.7946 | − | 8.42747i | −2.56945 | − | 0.453064i | ||||
\(347\) | 2.56214 | − | 3.05344i | 0.137543 | − | 0.163917i | −0.692876 | − | 0.721057i | \(-0.743657\pi\) |
0.830419 | + | 0.557140i | \(0.188101\pi\) | |||||||
\(348\) | 3.59338 | − | 12.2191i | 0.192625 | − | 0.655014i | ||||
\(349\) | −4.94233 | + | 13.5789i | −0.264557 | + | 0.726863i | 0.734289 | + | 0.678837i | \(0.237516\pi\) |
−0.998846 | + | 0.0480269i | \(0.984707\pi\) | |||||||
\(350\) | −26.8715 | + | 34.8420i | −1.43634 | + | 1.86238i | ||||
\(351\) | 4.58745 | − | 8.22094i | 0.244860 | − | 0.438801i | ||||
\(352\) | −32.9885 | −1.75829 | ||||||||
\(353\) | −5.93484 | − | 2.16010i | −0.315880 | − | 0.114971i | 0.179215 | − | 0.983810i | \(-0.442644\pi\) |
−0.495094 | + | 0.868839i | \(0.664867\pi\) | |||||||
\(354\) | −33.4410 | + | 8.09799i | −1.77737 | + | 0.430403i | ||||
\(355\) | 29.2649 | − | 34.8765i | 1.55322 | − | 1.85105i | ||||
\(356\) | −13.6400 | + | 77.3563i | −0.722919 | + | 4.09988i | ||||
\(357\) | 3.54254 | + | 12.3774i | 0.187491 | + | 0.655080i | ||||
\(358\) | 10.6485 | − | 8.93517i | 0.562792 | − | 0.472238i | ||||
\(359\) | −28.2385 | + | 16.3035i | −1.49037 | + | 0.860467i | −0.999939 | − | 0.0110119i | \(-0.996495\pi\) |
−0.490433 | + | 0.871479i | \(0.663161\pi\) | |||||||
\(360\) | −64.9175 | + | 20.1265i | −3.42145 | + | 1.06076i | ||||
\(361\) | −9.27055 | + | 16.0571i | −0.487924 | + | 0.845109i | ||||
\(362\) | −0.807937 | − | 4.58204i | −0.0424642 | − | 0.240827i | ||||
\(363\) | 7.99861 | − | 16.1220i | 0.419818 | − | 0.846183i | ||||
\(364\) | −6.68669 | + | 21.0271i | −0.350478 | + | 1.10212i | ||||
\(365\) | 15.1144 | + | 41.5264i | 0.791122 | + | 2.17359i | ||||
\(366\) | −2.40994 | + | 4.85747i | −0.125970 | + | 0.253904i | ||||
\(367\) | −28.3869 | + | 5.00537i | −1.48178 | + | 0.261278i | −0.855290 | − | 0.518150i | \(-0.826621\pi\) |
−0.626492 | + | 0.779428i | \(0.715510\pi\) | |||||||
\(368\) | −24.7270 | − | 14.2762i | −1.28899 | − | 0.744196i | ||||
\(369\) | −10.9798 | − | 35.4151i | −0.571585 | − | 1.84363i | ||||
\(370\) | −13.5382 | + | 7.81626i | −0.703815 | + | 0.406348i | ||||
\(371\) | −0.470380 | − | 11.4176i | −0.0244209 | − | 0.592771i | ||||
\(372\) | 14.6609 | − | 19.8947i | 0.760133 | − | 1.03149i | ||||
\(373\) | 0.466317 | − | 2.64461i | 0.0241450 | − | 0.136933i | −0.970352 | − | 0.241694i | \(-0.922297\pi\) |
0.994497 | + | 0.104762i | \(0.0334079\pi\) | |||||||
\(374\) | 25.5772 | + | 21.4618i | 1.32257 | + | 1.10976i | ||||
\(375\) | 2.03238 | + | 8.39280i | 0.104952 | + | 0.433403i | ||||
\(376\) | −6.63536 | + | 18.2305i | −0.342193 | + | 0.940167i | ||||
\(377\) | −2.89436 | −0.149067 | ||||||||
\(378\) | −32.4708 | + | 13.9148i | −1.67012 | + | 0.715701i | ||||
\(379\) | 14.7592 | 0.758131 | 0.379066 | − | 0.925370i | \(-0.376245\pi\) | ||||
0.379066 | + | 0.925370i | \(0.376245\pi\) | |||||||
\(380\) | 3.61219 | − | 9.92441i | 0.185301 | − | 0.509111i | ||||
\(381\) | 20.3176 | + | 5.97496i | 1.04090 | + | 0.306106i | ||||
\(382\) | −23.3092 | − | 19.5587i | −1.19260 | − | 1.00071i | ||||
\(383\) | 5.10475 | − | 28.9505i | 0.260841 | − | 1.47930i | −0.519783 | − | 0.854298i | \(-0.673987\pi\) |
0.780623 | − | 0.625002i | \(-0.214902\pi\) | |||||||
\(384\) | −14.0954 | − | 1.57793i | −0.719304 | − | 0.0805235i | ||||
\(385\) | 1.70603 | + | 41.4106i | 0.0869475 | + | 2.11048i | ||||
\(386\) | −38.6223 | + | 22.2986i | −1.96583 | + | 1.13497i | ||||
\(387\) | −0.915789 | + | 0.116098i | −0.0465522 | + | 0.00590162i | ||||
\(388\) | −23.5196 | − | 13.5791i | −1.19403 | − | 0.689372i | ||||
\(389\) | 33.7474 | − | 5.95059i | 1.71106 | − | 0.301707i | 0.769526 | − | 0.638615i | \(-0.220492\pi\) |
0.941537 | + | 0.336909i | \(0.109381\pi\) | |||||||
\(390\) | 15.1193 | + | 22.7456i | 0.765596 | + | 1.15177i | ||||
\(391\) | 3.43723 | + | 9.44371i | 0.173828 | + | 0.477589i | ||||
\(392\) | 38.4858 | − | 26.6670i | 1.94382 | − | 1.34688i | ||||
\(393\) | −20.5780 | + | 1.29918i | −1.03802 | + | 0.0655349i | ||||
\(394\) | 7.41864 | + | 42.0732i | 0.373746 | + | 2.11962i | ||||
\(395\) | 24.8267 | − | 43.0011i | 1.24917 | − | 2.16362i | ||||
\(396\) | −34.5738 | + | 53.6996i | −1.73740 | + | 2.69851i | ||||
\(397\) | −20.6504 | + | 11.9225i | −1.03642 | + | 0.598375i | −0.918816 | − | 0.394686i | \(-0.870853\pi\) |
−0.117600 | + | 0.993061i | \(0.537520\pi\) | |||||||
\(398\) | 44.0998 | − | 37.0041i | 2.21052 | − | 1.85485i | ||||
\(399\) | 0.752491 | − | 3.01173i | 0.0376717 | − | 0.150775i | ||||
\(400\) | 8.97032 | − | 50.8732i | 0.448516 | − | 2.54366i | ||||
\(401\) | 16.1656 | − | 19.2654i | 0.807269 | − | 0.962066i | −0.192546 | − | 0.981288i | \(-0.561674\pi\) |
0.999815 | + | 0.0192219i | \(0.00611890\pi\) | |||||||
\(402\) | 2.70151 | + | 2.83562i | 0.134739 | + | 0.141428i | ||||
\(403\) | −5.27735 | − | 1.92080i | −0.262883 | − | 0.0956817i | ||||
\(404\) | −26.7047 | −1.32861 | ||||||||
\(405\) | −8.17185 | + | 29.3675i | −0.406062 | + | 1.45928i | ||||
\(406\) | 8.60029 | + | 6.63289i | 0.426825 | + | 0.329185i | ||||
\(407\) | −2.84120 | + | 7.80613i | −0.140833 | + | 0.386935i | ||||
\(408\) | −22.4510 | − | 23.5656i | −1.11149 | − | 1.16667i | ||||
\(409\) | 0.228603 | − | 0.272438i | 0.0113037 | − | 0.0134712i | −0.760363 | − | 0.649498i | \(-0.774979\pi\) |
0.771667 | + | 0.636027i | \(0.219423\pi\) | |||||||
\(410\) | 105.935 | + | 18.6791i | 5.23174 | + | 0.922496i | ||||
\(411\) | −4.20437 | − | 9.61768i | −0.207386 | − | 0.474405i | ||||
\(412\) | 3.94016 | + | 4.69570i | 0.194118 | + | 0.231341i | ||||
\(413\) | 2.71959 | − | 20.2720i | 0.133822 | − | 0.997522i | ||||
\(414\) | −24.5212 | + | 12.6157i | −1.20515 | + | 0.620030i | ||||
\(415\) | 11.8182 | − | 20.4698i | 0.580135 | − | 1.00482i | ||||
\(416\) | −2.24402 | − | 12.7265i | −0.110022 | − | 0.623966i | ||||
\(417\) | 0.641034 | + | 10.1535i | 0.0313916 | + | 0.497218i | ||||
\(418\) | −2.75354 | − | 7.56528i | −0.134680 | − | 0.370030i | ||||
\(419\) | −25.0271 | + | 9.10912i | −1.22265 | + | 0.445010i | −0.871076 | − | 0.491149i | \(-0.836577\pi\) |
−0.351578 | + | 0.936159i | \(0.614355\pi\) | |||||||
\(420\) | 5.01899 | − | 71.2686i | 0.244902 | − | 3.47755i | ||||
\(421\) | −4.94818 | − | 28.0625i | −0.241160 | − | 1.36768i | −0.829245 | − | 0.558885i | \(-0.811229\pi\) |
0.588085 | − | 0.808799i | \(-0.299882\pi\) | |||||||
\(422\) | 18.9412 | + | 10.9357i | 0.922042 | + | 0.532341i | ||||
\(423\) | 5.26383 | + | 6.92854i | 0.255936 | + | 0.336877i | ||||
\(424\) | 14.4448 | + | 25.0192i | 0.701504 | + | 1.21504i | ||||
\(425\) | −13.9286 | + | 11.6875i | −0.675636 | + | 0.566926i | ||||
\(426\) | −6.65576 | + | 59.4549i | −0.322473 | + | 2.88060i | ||||
\(427\) | −2.17183 | − | 2.38187i | −0.105102 | − | 0.115267i | ||||
\(428\) | 15.9057 | − | 18.9557i | 0.768831 | − | 0.916258i | ||||
\(429\) | 13.9241 | + | 4.09476i | 0.672260 | + | 0.197697i | ||||
\(430\) | 0.915965 | − | 2.51659i | 0.0441718 | − | 0.121361i | ||||
\(431\) | − | 26.0928i | − | 1.25684i | −0.777872 | − | 0.628422i | \(-0.783701\pi\) | ||
0.777872 | − | 0.628422i | \(-0.216299\pi\) | |||||||
\(432\) | 26.1921 | − | 32.1577i | 1.26017 | − | 1.54719i | ||||
\(433\) | 21.3082i | 1.02401i | 0.858983 | + | 0.512004i | \(0.171097\pi\) | ||||
−0.858983 | + | 0.512004i | \(0.828903\pi\) | |||||||
\(434\) | 11.2793 | + | 17.8014i | 0.541423 | + | 0.854492i | ||||
\(435\) | 9.10863 | − | 2.20572i | 0.436725 | − | 0.105756i | ||||
\(436\) | 29.5441 | + | 24.7905i | 1.41491 | + | 1.18725i | ||||
\(437\) | 0.420792 | − | 2.38643i | 0.0201292 | − | 0.114158i | ||||
\(438\) | −46.7476 | − | 34.4495i | −2.23369 | − | 1.64606i | ||||
\(439\) | −1.15331 | − | 1.37446i | −0.0550444 | − | 0.0655994i | 0.737820 | − | 0.674998i | \(-0.235855\pi\) |
−0.792864 | + | 0.609398i | \(0.791411\pi\) | |||||||
\(440\) | −52.3903 | − | 90.7427i | −2.49761 | − | 4.32599i | ||||
\(441\) | −0.712139 | − | 20.9879i | −0.0339114 | − | 0.999425i | ||||
\(442\) | −6.53977 | + | 11.3272i | −0.311065 | + | 0.538781i | ||||
\(443\) | 19.7101 | − | 3.47542i | 0.936454 | − | 0.165122i | 0.315461 | − | 0.948938i | \(-0.397841\pi\) |
0.620993 | + | 0.783816i | \(0.286730\pi\) | |||||||
\(444\) | 6.36436 | − | 12.8280i | 0.302039 | − | 0.608788i | ||||
\(445\) | −54.3133 | + | 19.7684i | −2.57470 | + | 0.937113i | ||||
\(446\) | −7.26823 | + | 2.64542i | −0.344160 | + | 0.125264i | ||||
\(447\) | −15.5050 | − | 7.69254i | −0.733363 | − | 0.363845i | ||||
\(448\) | −2.90255 | + | 5.54243i | −0.137132 | + | 0.261855i | ||||
\(449\) | −0.145244 | − | 0.0838569i | −0.00685451 | − | 0.00395745i | 0.496569 | − | 0.867997i | \(-0.334593\pi\) |
−0.503423 | + | 0.864040i | \(0.667926\pi\) | |||||||
\(450\) | −36.6220 | − | 33.8826i | −1.72638 | − | 1.59724i | ||||
\(451\) | 49.5037 | − | 28.5810i | 2.33104 | − | 1.34583i | ||||
\(452\) | 34.4506 | + | 41.0567i | 1.62042 | + | 1.93114i | ||||
\(453\) | 11.9367 | + | 8.79644i | 0.560833 | + | 0.413293i | ||||
\(454\) | −25.4471 | − | 4.48700i | −1.19429 | − | 0.210585i | ||||
\(455\) | −15.8595 | + | 3.47508i | −0.743506 | + | 0.162914i | ||||
\(456\) | 1.84710 | + | 7.62768i | 0.0864983 | + | 0.357199i | ||||
\(457\) | 19.2205 | + | 6.99570i | 0.899099 | + | 0.327245i | 0.749892 | − | 0.661561i | \(-0.230106\pi\) |
0.149207 | + | 0.988806i | \(0.452328\pi\) | |||||||
\(458\) | 66.0099 | 3.08444 | ||||||||
\(459\) | −14.3378 | + | 2.74484i | −0.669230 | + | 0.128118i | ||||
\(460\) | − | 55.7704i | − | 2.60031i | ||||||
\(461\) | −1.81793 | − | 0.661673i | −0.0846695 | − | 0.0308172i | 0.299338 | − | 0.954147i | \(-0.403234\pi\) |
−0.384008 | + | 0.923330i | \(0.625456\pi\) | |||||||
\(462\) | −31.9901 | − | 44.0764i | −1.48832 | − | 2.05062i | ||||
\(463\) | −30.6253 | − | 25.6977i | −1.42328 | − | 1.19427i | −0.949555 | − | 0.313599i | \(-0.898465\pi\) |
−0.473724 | − | 0.880674i | \(-0.657090\pi\) | |||||||
\(464\) | −12.5574 | − | 2.21421i | −0.582962 | − | 0.102792i | ||||
\(465\) | 18.0718 | + | 2.02307i | 0.838057 | + | 0.0938175i | ||||
\(466\) | −0.505108 | + | 0.423836i | −0.0233987 | + | 0.0196338i | ||||
\(467\) | −0.858878 | − | 1.48762i | −0.0397442 | − | 0.0688389i | 0.845469 | − | 0.534024i | \(-0.179321\pi\) |
−0.885213 | + | 0.465186i | \(0.845988\pi\) | |||||||
\(468\) | −23.0683 | − | 9.68515i | −1.06633 | − | 0.447696i | ||||
\(469\) | −2.15313 | + | 0.885660i | −0.0994223 | + | 0.0408960i | ||||
\(470\) | −24.8602 | + | 4.38353i | −1.14672 | + | 0.202197i | ||||
\(471\) | −0.179796 | + | 0.119513i | −0.00828457 | + | 0.00550687i | ||||
\(472\) | 17.6858 | + | 48.5912i | 0.814053 | + | 2.23659i | ||||
\(473\) | −0.486743 | − | 1.33732i | −0.0223805 | − | 0.0614899i | ||||
\(474\) | 4.11116 | + | 65.1175i | 0.188832 | + | 2.99095i | ||||
\(475\) | 4.31762 | − | 0.761313i | 0.198106 | − | 0.0349314i | ||||
\(476\) | 31.6420 | − | 13.0155i | 1.45031 | − | 0.596565i | ||||
\(477\) | 12.9421 | + | 0.627295i | 0.592578 | + | 0.0287219i | ||||
\(478\) | 16.9782 | + | 29.4071i | 0.776564 | + | 1.34505i | ||||
\(479\) | −22.9906 | + | 19.2914i | −1.05047 | + | 0.881447i | −0.993143 | − | 0.116909i | \(-0.962701\pi\) |
−0.0573246 | + | 0.998356i | \(0.518257\pi\) | |||||||
\(480\) | 16.7605 | + | 38.3404i | 0.765009 | + | 1.74999i | ||||
\(481\) | −3.20475 | − | 0.565084i | −0.146124 | − | 0.0257656i | ||||
\(482\) | 26.7529 | + | 22.4483i | 1.21856 | + | 1.02249i | ||||
\(483\) | −1.70544 | − | 16.3037i | −0.0776004 | − | 0.741846i | ||||
\(484\) | −44.9439 | − | 16.3582i | −2.04291 | − | 0.743557i | ||||
\(485\) | − | 19.9837i | − | 0.907412i | ||||||
\(486\) | −12.4199 | − | 38.0826i | −0.563377 | − | 1.72746i | ||||
\(487\) | −37.1109 | −1.68165 | −0.840827 | − | 0.541304i | \(-0.817931\pi\) | ||||
−0.840827 | + | 0.541304i | \(0.817931\pi\) | |||||||
\(488\) | 7.65770 | + | 2.78717i | 0.346648 | + | 0.126169i | ||||
\(489\) | −14.3181 | + | 13.6409i | −0.647487 | + | 0.616864i | ||||
\(490\) | 55.0887 | + | 26.0188i | 2.48865 | + | 1.17541i | ||||
\(491\) | −33.6615 | − | 5.93543i | −1.51912 | − | 0.267862i | −0.649034 | − | 0.760759i | \(-0.724827\pi\) |
−0.870088 | + | 0.492897i | \(0.835938\pi\) | |||||||
\(492\) | −90.2871 | + | 39.4690i | −4.07045 | + | 1.77940i | ||||
\(493\) | 2.88490 | + | 3.43809i | 0.129929 | + | 0.154844i | ||||
\(494\) | 2.73126 | − | 1.57689i | 0.122885 | − | 0.0709478i | ||||
\(495\) | −46.9400 | − | 2.27515i | −2.10979 | − | 0.102260i | ||||
\(496\) | −21.4267 | − | 12.3707i | −0.962089 | − | 0.555462i | ||||
\(497\) | −31.5051 | − | 16.4991i | −1.41320 | − | 0.740085i | ||||
\(498\) | 1.95703 | + | 30.9979i | 0.0876968 | + | 1.38905i | ||||
\(499\) | 22.0595 | − | 8.02898i | 0.987517 | − | 0.359427i | 0.202759 | − | 0.979229i | \(-0.435009\pi\) |
0.784758 | + | 0.619802i | \(0.212787\pi\) | |||||||
\(500\) | 21.5650 | − | 7.84903i | 0.964417 | − | 0.351019i | ||||
\(501\) | −9.77065 | − | 14.6990i | −0.436520 | − | 0.656704i | ||||
\(502\) | −60.1644 | + | 10.6086i | −2.68527 | + | 0.473486i | ||||
\(503\) | 8.06083 | − | 13.9618i | 0.359415 | − | 0.622524i | −0.628449 | − | 0.777851i | \(-0.716310\pi\) |
0.987863 | + | 0.155327i | \(0.0496431\pi\) | |||||||
\(504\) | 26.2111 | + | 46.1695i | 1.16754 | + | 2.05655i | ||||
\(505\) | −9.82502 | − | 17.0174i | −0.437208 | − | 0.757266i | ||||
\(506\) | −27.3270 | − | 32.5670i | −1.21483 | − | 1.44778i | ||||
\(507\) | 1.87249 | − | 16.7267i | 0.0831601 | − | 0.742857i | ||||
\(508\) | 9.77319 | − | 55.4265i | 0.433615 | − | 2.45915i | ||||
\(509\) | 25.7566 | + | 21.6124i | 1.14164 | + | 0.957952i | 0.999491 | − | 0.0318930i | \(-0.0101536\pi\) |
0.142151 | + | 0.989845i | \(0.454598\pi\) | |||||||
\(510\) | 11.9486 | − | 40.6309i | 0.529095 | − | 1.79916i | ||||
\(511\) | 29.1592 | − | 18.4758i | 1.28993 | − | 0.817322i | ||||
\(512\) | 49.8464i | 2.20292i | ||||||||
\(513\) | 3.32493 | + | 1.15541i | 0.146799 | + | 0.0510128i | ||||
\(514\) | 25.4309i | 1.12171i | ||||||||
\(515\) | −1.54267 | + | 4.23846i | −0.0679783 | + | 0.186769i | ||||
\(516\) | 0.577383 | + | 2.38433i | 0.0254179 | + | 0.104964i | ||||
\(517\) | −8.62268 | + | 10.2761i | −0.379225 | + | 0.451943i | ||||
\(518\) | 8.22761 | + | 9.02330i | 0.361501 | + | 0.396461i | ||||
\(519\) | 26.3345 | + | 19.4066i | 1.15596 | + | 0.851853i | ||||
\(520\) | 31.4433 | − | 26.3841i | 1.37888 | − | 1.15702i | ||||
\(521\) | 5.45369 | + | 9.44606i | 0.238930 | + | 0.413839i | 0.960408 | − | 0.278599i | \(-0.0898699\pi\) |
−0.721477 | + | 0.692438i | \(0.756537\pi\) | |||||||
\(522\) | −8.36347 | + | 9.03966i | −0.366059 | + | 0.395655i | ||||
\(523\) | 23.6689 | + | 13.6653i | 1.03497 | + | 0.597541i | 0.918405 | − | 0.395642i | \(-0.129478\pi\) |
0.116566 | + | 0.993183i | \(0.462811\pi\) | |||||||
\(524\) | 9.51523 | + | 53.9636i | 0.415675 | + | 2.35741i | ||||
\(525\) | 26.6632 | − | 12.9882i | 1.16368 | − | 0.566851i | ||||
\(526\) | −24.1793 | + | 8.80053i | −1.05427 | + | 0.383721i | ||||
\(527\) | 2.97846 | + | 8.18326i | 0.129744 | + | 0.356469i | ||||
\(528\) | 57.2781 | + | 28.4175i | 2.49271 | + | 1.23671i | ||||
\(529\) | 1.77187 | + | 10.0488i | 0.0770378 | + | 0.436903i | ||||
\(530\) | −18.7955 | + | 32.5547i | −0.816424 | + | 1.41409i | ||||
\(531\) | 22.6182 | + | 5.12831i | 0.981545 | + | 0.222550i | ||||
\(532\) | −8.17665 | − | 1.09693i | −0.354503 | − | 0.0475581i | ||||
\(533\) | 14.3936 | + | 17.1536i | 0.623454 | + | 0.743004i | ||||
\(534\) | 45.0573 | − | 61.1423i | 1.94982 | − | 2.64589i | ||||
\(535\) | 17.9313 | + | 3.16178i | 0.775239 | + | 0.136696i | ||||
\(536\) | 3.78340 | − | 4.50889i | 0.163418 | − | 0.194754i | ||||
\(537\) | −9.10647 | + | 2.20520i | −0.392973 | + | 0.0951613i | ||||
\(538\) | 12.7536 | − | 35.0403i | 0.549848 | − | 1.51070i | ||||
\(539\) | 31.3127 | − | 8.22540i | 1.34873 | − | 0.354293i | ||||
\(540\) | 79.9775 | + | 12.8996i | 3.44168 | + | 0.555112i | ||||
\(541\) | −27.4497 | −1.18015 | −0.590076 | − | 0.807347i | \(-0.700902\pi\) | ||||
−0.590076 | + | 0.807347i | \(0.700902\pi\) | |||||||
\(542\) | 0.601575 | + | 0.218955i | 0.0258399 | + | 0.00940494i | ||||
\(543\) | −0.884806 | + | 3.00874i | −0.0379707 | + | 0.129118i | ||||
\(544\) | −12.8806 | + | 15.3504i | −0.552249 | + | 0.658145i | ||||
\(545\) | −4.92791 | + | 27.9476i | −0.211089 | + | 1.19714i | ||||
\(546\) | 14.8279 | − | 15.3396i | 0.634575 | − | 0.656472i | ||||
\(547\) | −32.0533 | + | 26.8959i | −1.37050 | + | 1.14999i | −0.397921 | + | 0.917420i | \(0.630268\pi\) |
−0.972580 | + | 0.232568i | \(0.925287\pi\) | |||||||
\(548\) | −24.1578 | + | 13.9475i | −1.03197 | + | 0.595809i | ||||
\(549\) | 2.91032 | − | 2.21106i | 0.124210 | − | 0.0943659i | ||||
\(550\) | 38.4583 | − | 66.6118i | 1.63987 | − | 2.84034i | ||||
\(551\) | −0.187920 | − | 1.06575i | −0.00800567 | − | 0.0454024i | ||||
\(552\) | 22.9418 | + | 34.5138i | 0.976467 | + | 1.46900i | ||||
\(553\) | −36.9624 | − | 11.7542i | −1.57180 | − | 0.499838i | ||||
\(554\) | −12.8535 | − | 35.3147i | −0.546093 | − | 1.50038i | ||||
\(555\) | 10.5161 | − | 0.663927i | 0.446383 | − | 0.0281821i | ||||
\(556\) | 26.6264 | − | 4.69496i | 1.12921 | − | 0.199111i | ||||
\(557\) | 27.5246 | + | 15.8913i | 1.16625 | + | 0.673337i | 0.952795 | − | 0.303616i | \(-0.0981938\pi\) |
0.213459 | + | 0.976952i | \(0.431527\pi\) | |||||||
\(558\) | −21.2483 | + | 10.9319i | −0.899514 | + | 0.462785i | ||||
\(559\) | 0.482805 | − | 0.278748i | 0.0204205 | − | 0.0117898i | ||||
\(560\) | −71.4662 | + | 2.94426i | −3.02000 | + | 0.124418i | ||||
\(561\) | −9.01456 | − | 20.6212i | −0.380595 | − | 0.870628i | ||||
\(562\) | 10.6286 | − | 60.2779i | 0.448342 | − | 2.54267i | ||||
\(563\) | −6.98724 | − | 5.86299i | −0.294477 | − | 0.247095i | 0.483564 | − | 0.875309i | \(-0.339342\pi\) |
−0.778041 | + | 0.628214i | \(0.783786\pi\) | |||||||
\(564\) | 16.7424 | − | 15.9506i | 0.704983 | − | 0.671640i | ||||
\(565\) | −13.4883 | + | 37.0588i | −0.567457 | + | 1.55907i | ||||
\(566\) | −49.6246 | −2.08588 | ||||||||
\(567\) | 23.7748 | + | 1.32535i | 0.998450 | + | 0.0556594i | ||||
\(568\) | 89.9105 | 3.77256 | ||||||||
\(569\) | −4.11399 | + | 11.3031i | −0.172468 | + | 0.473851i | −0.995568 | − | 0.0940452i | \(-0.970020\pi\) |
0.823100 | + | 0.567896i | \(0.192242\pi\) | |||||||
\(570\) | −7.39364 | + | 7.04396i | −0.309686 | + | 0.295039i | ||||
\(571\) | 22.3766 | + | 18.7762i | 0.936433 | + | 0.785761i | 0.976961 | − | 0.213417i | \(-0.0684594\pi\) |
−0.0405277 | + | 0.999178i | \(0.512904\pi\) | |||||||
\(572\) | 6.69777 | − | 37.9850i | 0.280048 | − | 1.58823i | ||||
\(573\) | 8.21521 | + | 18.7927i | 0.343195 | + | 0.785075i | ||||
\(574\) | −3.45878 | − | 83.9552i | −0.144367 | − | 3.50422i | ||||
\(575\) | 20.0497 | − | 11.5757i | 0.836131 | − | 0.482741i | ||||
\(576\) | −5.96480 | − | 3.84035i | −0.248533 | − | 0.160015i | ||||
\(577\) | 12.2130 | + | 7.05117i | 0.508433 | + | 0.293544i | 0.732189 | − | 0.681101i | \(-0.238499\pi\) |
−0.223756 | + | 0.974645i | \(0.571832\pi\) | |||||||
\(578\) | −23.0466 | + | 4.06374i | −0.958613 | + | 0.169029i | ||||
\(579\) | 30.0008 | − | 1.89409i | 1.24679 | − | 0.0787155i | ||||
\(580\) | −8.51847 | − | 23.4043i | −0.353710 | − | 0.971811i | ||||
\(581\) | −17.5952 | − | 5.59534i | −0.729972 | − | 0.232134i | ||||
\(582\) | 14.5366 | + | 21.8690i | 0.602563 | + | 0.906500i | ||||
\(583\) | 3.46876 | + | 19.6723i | 0.143662 | + | 0.814745i | ||||
\(584\) | −43.6354 | + | 75.5787i | −1.80565 | + | 3.12747i | ||||
\(585\) | −2.31534 | − | 18.2635i | −0.0957274 | − | 0.755101i | ||||
\(586\) | 50.3658 | − | 29.0787i | 2.08059 | − | 1.20123i | ||||
\(587\) | −0.422612 | + | 0.354614i | −0.0174431 | + | 0.0146365i | −0.651467 | − | 0.758677i | \(-0.725846\pi\) |
0.634024 | + | 0.773313i | \(0.281402\pi\) | |||||||
\(588\) | −55.2198 | + | 8.08603i | −2.27723 | + | 0.333462i | ||||
\(589\) | 0.364629 | − | 2.06791i | 0.0150243 | − | 0.0852069i | ||||
\(590\) | −43.2494 | + | 51.5426i | −1.78055 | + | 2.12198i | ||||
\(591\) | 8.12447 | − | 27.6269i | 0.334196 | − | 1.13642i | ||||
\(592\) | −13.4718 | − | 4.90332i | −0.553686 | − | 0.201525i | ||||
\(593\) | 24.4959 | 1.00593 | 0.502964 | − | 0.864307i | \(-0.332243\pi\) | ||||
0.502964 | + | 0.864307i | \(0.332243\pi\) | |||||||
\(594\) | 53.0234 | − | 31.6555i | 2.17558 | − | 1.29884i | ||||
\(595\) | 19.9356 | + | 15.3751i | 0.817280 | + | 0.630320i | ||||
\(596\) | −15.7323 | + | 43.2241i | −0.644420 | + | 1.77053i | ||||
\(597\) | −37.7136 | + | 9.13261i | −1.54351 | + | 0.373773i | ||||
\(598\) | 10.7050 | − | 12.7577i | 0.437758 | − | 0.521700i | ||||
\(599\) | 5.18052 | + | 0.913465i | 0.211670 | + | 0.0373232i | 0.278478 | − | 0.960443i | \(-0.410170\pi\) |
−0.0668074 | + | 0.997766i | \(0.521281\pi\) | |||||||
\(600\) | −44.4816 | + | 60.3610i | −1.81595 | + | 2.46423i | ||||
\(601\) | 17.5340 | + | 20.8963i | 0.715228 | + | 0.852376i | 0.994158 | − | 0.107936i | \(-0.0344240\pi\) |
−0.278930 | + | 0.960312i | \(0.589980\pi\) | |||||||
\(602\) | −2.07340 | − | 0.278156i | −0.0845056 | − | 0.0113368i | ||||
\(603\) | −0.781742 | − | 2.52149i | −0.0318350 | − | 0.102683i | ||||
\(604\) | 19.7028 | − | 34.1262i | 0.801694 | − | 1.38857i | ||||
\(605\) | −6.11126 | − | 34.6587i | −0.248458 | − | 1.40908i | ||||
\(606\) | 23.1309 | + | 11.4760i | 0.939627 | + | 0.466179i | ||||
\(607\) | 4.85192 | + | 13.3305i | 0.196933 | + | 0.541069i | 0.998374 | − | 0.0570048i | \(-0.0181550\pi\) |
−0.801441 | + | 0.598074i | \(0.795933\pi\) | |||||||
\(608\) | 4.54039 | − | 1.65257i | 0.184137 | − | 0.0670204i | ||||
\(609\) | −3.20596 | − | 6.58145i | −0.129912 | − | 0.266694i | ||||
\(610\) | 1.84129 | + | 10.4425i | 0.0745518 | + | 0.422804i | ||||
\(611\) | −4.55091 | − | 2.62747i | −0.184110 | − | 0.106296i | ||||
\(612\) | 11.4883 | + | 37.0554i | 0.464389 | + | 1.49788i | ||||
\(613\) | −2.75943 | − | 4.77947i | −0.111452 | − | 0.193041i | 0.804904 | − | 0.593405i | \(-0.202217\pi\) |
−0.916356 | + | 0.400364i | \(0.868884\pi\) | |||||||
\(614\) | 7.84563 | − | 6.58326i | 0.316624 | − | 0.265679i | ||||
\(615\) | −58.3692 | − | 43.0138i | −2.35367 | − | 1.73448i | ||||
\(616\) | −60.4808 | + | 55.1475i | −2.43684 | + | 2.22196i | ||||
\(617\) | 25.0437 | − | 29.8460i | 1.00822 | − | 1.20155i | 0.0288310 | − | 0.999584i | \(-0.490822\pi\) |
0.979392 | − | 0.201969i | \(-0.0647340\pi\) | |||||||
\(618\) | −1.39495 | − | 5.76051i | −0.0561131 | − | 0.231722i | ||||
\(619\) | −4.01593 | + | 11.0337i | −0.161414 | + | 0.443481i | −0.993863 | − | 0.110621i | \(-0.964716\pi\) |
0.832449 | + | 0.554102i | \(0.186938\pi\) | |||||||
\(620\) | − | 48.3267i | − | 1.94085i | ||||||
\(621\) | 18.5856 | − | 0.271728i | 0.745814 | − | 0.0109041i | ||||
\(622\) | 6.72187i | 0.269522i | ||||||||
\(623\) | 24.1650 | + | 38.1380i | 0.968148 | + | 1.52797i | ||||
\(624\) | −7.06672 | + | 24.0301i | −0.282895 | + | 0.961972i | ||||
\(625\) | −11.8533 | − | 9.94610i | −0.474132 | − | 0.397844i | ||||
\(626\) | 11.6901 | − | 66.2978i | 0.467230 | − | 2.64979i | ||||
\(627\) | −0.603718 | + | 5.39292i | −0.0241102 | + | 0.215373i | ||||
\(628\) | 0.368799 | + | 0.439518i | 0.0147167 | + | 0.0175387i | ||||
\(629\) | 2.52304 | + | 4.37003i | 0.100600 | + | 0.174245i | ||||
\(630\) | −34.9739 | + | 59.5740i | −1.39339 | + | 2.37348i | ||||
\(631\) | 13.6313 | − | 23.6101i | 0.542654 | − | 0.939904i | −0.456097 | − | 0.889930i | \(-0.650753\pi\) |
0.998751 | − | 0.0499740i | \(-0.0159138\pi\) | |||||||
\(632\) | 96.5675 | − | 17.0274i | 3.84125 | − | 0.677315i | ||||
\(633\) | −8.16096 | − | 12.2774i | −0.324369 | − | 0.487983i | ||||
\(634\) | 12.1034 | − | 4.40528i | 0.480688 | − | 0.174956i | ||||
\(635\) | 38.9160 | − | 14.1642i | 1.54433 | − | 0.562091i | ||||
\(636\) | −2.16970 | − | 34.3663i | −0.0860341 | − | 1.36271i | ||||
\(637\) | 5.30325 | + | 11.5204i | 0.210122 | + | 0.456455i | ||||
\(638\) | −16.4422 | − | 9.49294i | −0.650955 | − | 0.375829i | ||||
\(639\) | 21.8299 | − | 33.9060i | 0.863577 | − | 1.34130i | ||||
\(640\) | −24.0199 | + | 13.8679i | −0.949471 | + | 0.548178i | ||||
\(641\) | −13.0135 | − | 15.5088i | −0.514000 | − | 0.612562i | 0.445151 | − | 0.895456i | \(-0.353150\pi\) |
−0.959151 | + | 0.282894i | \(0.908706\pi\) | |||||||
\(642\) | −21.9230 | + | 9.58364i | −0.865232 | + | 0.378236i | ||||
\(643\) | −37.2220 | − | 6.56324i | −1.46789 | − | 0.258829i | −0.618164 | − | 0.786049i | \(-0.712123\pi\) |
−0.849729 | + | 0.527220i | \(0.823234\pi\) | |||||||
\(644\) | −42.5550 | + | 9.32450i | −1.67690 | + | 0.367437i | ||||
\(645\) | −1.30698 | + | 1.24516i | −0.0514621 | + | 0.0490282i | ||||
\(646\) | −4.59546 | − | 1.67261i | −0.180806 | − | 0.0658080i | ||||
\(647\) | −23.4908 | −0.923517 | −0.461759 | − | 0.887006i | \(-0.652781\pi\) | ||||
−0.461759 | + | 0.887006i | \(0.652781\pi\) | |||||||
\(648\) | −54.8009 | + | 24.9167i | −2.15278 | + | 0.978819i | ||||
\(649\) | 35.7547i | 1.40350i | ||||||||
\(650\) | 28.3139 | + | 10.3054i | 1.11056 | + | 0.404211i | ||||
\(651\) | −1.47782 | − | 14.1277i | −0.0579203 | − | 0.553708i | ||||
\(652\) | 40.2597 | + | 33.7819i | 1.57669 | + | 1.32300i | ||||
\(653\) | −4.96907 | − | 0.876181i | −0.194455 | − | 0.0342876i | 0.0755724 | − | 0.997140i | \(-0.475922\pi\) |
−0.270027 | + | 0.962853i | \(0.587033\pi\) | |||||||
\(654\) | −14.9370 | − | 34.1690i | −0.584081 | − | 1.33611i | ||||
\(655\) | −30.8872 | + | 25.9175i | −1.20686 | + | 1.01268i | ||||
\(656\) | 49.3249 | + | 85.4332i | 1.92581 | + | 3.33561i | ||||
\(657\) | 17.9068 | + | 34.8055i | 0.698613 | + | 1.35789i | ||||
\(658\) | 7.50130 | + | 18.2364i | 0.292431 | + | 0.710930i | ||||
\(659\) | 28.1030 | − | 4.95532i | 1.09474 | − | 0.193032i | 0.403014 | − | 0.915194i | \(-0.367962\pi\) |
0.691724 | + | 0.722162i | \(0.256851\pi\) | |||||||
\(660\) | 7.86932 | + | 124.644i | 0.306313 | + | 4.85176i | ||||
\(661\) | −5.93347 | − | 16.3021i | −0.230785 | − | 0.634077i | 0.769203 | − | 0.639005i | \(-0.220654\pi\) |
−0.999988 | + | 0.00492766i | \(0.998431\pi\) | |||||||
\(662\) | 6.36639 | + | 17.4915i | 0.247437 | + | 0.679827i | ||||
\(663\) | 7.34213 | − | 4.88042i | 0.285145 | − | 0.189540i | ||||
\(664\) | 45.9690 | − | 8.10558i | 1.78394 | − | 0.314558i | ||||
\(665\) | −2.30928 | − | 5.61410i | −0.0895502 | − | 0.217706i | ||||
\(666\) | −11.0253 | + | 8.37623i | −0.427220 | + | 0.324572i | ||||
\(667\) | −2.85732 | − | 4.94902i | −0.110636 | − | 0.191627i | ||||
\(668\) | −35.9323 | + | 30.1508i | −1.39026 | + | 1.16657i | ||||
\(669\) | 5.18116 | + | 0.580012i | 0.200315 | + | 0.0224246i | ||||
\(670\) | 7.54236 | + | 1.32992i | 0.291387 | + | 0.0513794i | ||||
\(671\) | 4.31646 | + | 3.62194i | 0.166635 | + | 0.139824i | ||||
\(672\) | 26.4530 | − | 19.1992i | 1.02044 | − | 0.740626i | ||||
\(673\) | −2.93848 | − | 1.06952i | −0.113270 | − | 0.0412270i | 0.284763 | − | 0.958598i | \(-0.408085\pi\) |
−0.398034 | + | 0.917371i | \(0.630307\pi\) | |||||||
\(674\) | 1.49287i | 0.0575031i | ||||||||
\(675\) | 11.9627 | + | 31.4298i | 0.460443 | + | 1.20973i | ||||
\(676\) | −44.7297 | −1.72037 | ||||||||
\(677\) | −32.1288 | − | 11.6939i | −1.23481 | − | 0.449434i | −0.359568 | − | 0.933119i | \(-0.617076\pi\) |
−0.875242 | + | 0.483685i | \(0.839298\pi\) | |||||||
\(678\) | −12.1967 | − | 50.3668i | −0.468410 | − | 1.93432i | ||||
\(679\) | −15.2483 | + | 3.34116i | −0.585177 | + | 0.128222i | ||||
\(680\) | −62.6811 | − | 11.0524i | −2.40371 | − | 0.423839i | ||||
\(681\) | 14.0212 | + | 10.3325i | 0.537292 | + | 0.395944i | ||||
\(682\) | −23.6797 | − | 28.2203i | −0.906741 | − | 1.08061i | ||||
\(683\) | 5.42717 | − | 3.13338i | 0.207665 | − | 0.119895i | −0.392561 | − | 0.919726i | \(-0.628411\pi\) |
0.600226 | + | 0.799831i | \(0.295077\pi\) | |||||||
\(684\) | 2.06848 | − | 9.12295i | 0.0790904 | − | 0.348825i | ||||
\(685\) | −17.7760 | − | 10.2630i | −0.679186 | − | 0.392128i | ||||
\(686\) | 10.6428 | − | 46.3850i | 0.406345 | − | 1.77099i | ||||
\(687\) | −39.8579 | − | 19.7747i | −1.52067 | − | 0.754453i | ||||
\(688\) | 2.30793 | − | 0.840019i | 0.0879891 | − | 0.0320254i | ||||
\(689\) | −7.35332 | + | 2.67639i | −0.280139 | + | 0.101962i | ||||
\(690\) | −23.9665 | + | 48.3067i | −0.912389 | + | 1.83901i | ||||
\(691\) | −22.6829 | + | 3.99961i | −0.862898 | + | 0.152152i | −0.587546 | − | 0.809191i | \(-0.699906\pi\) |
−0.275353 | + | 0.961343i | \(0.588795\pi\) | |||||||
\(692\) | 43.4679 | − | 75.2887i | 1.65240 | − | 2.86205i | ||||
\(693\) | 6.11208 | + | 36.1974i | 0.232179 | + | 1.37503i | ||||
\(694\) | 5.12126 | + | 8.87027i | 0.194400 | + | 0.336711i | ||||
\(695\) | 12.7881 | + | 15.2402i | 0.485079 | + | 0.578095i | ||||
\(696\) | 14.8993 | + | 10.9797i | 0.564758 | + | 0.416184i | ||||
\(697\) | 6.02951 | − | 34.1950i | 0.228384 | − | 1.29523i | ||||
\(698\) | −28.4450 | − | 23.8681i | −1.07666 | − | 0.903423i | ||||
\(699\) | 0.431961 | − | 0.104603i | 0.0163383 | − | 0.00395643i | ||||
\(700\) | −42.1857 | − | 66.5790i | −1.59447 | − | 2.51645i | ||||
\(701\) | 12.1725i | 0.459751i | 0.973220 | + | 0.229875i | \(0.0738319\pi\) | ||||
−0.973220 | + | 0.229875i | \(0.926168\pi\) | |||||||
\(702\) | 15.8191 | + | 18.3023i | 0.597053 | + | 0.690775i | ||||
\(703\) | − | 1.21673i | − | 0.0458898i | ||||||
\(704\) | 3.74062 | − | 10.2773i | 0.140980 | − | 0.387339i | ||||
\(705\) | 16.3242 | + | 4.80059i | 0.614804 | + | 0.180801i | ||||
\(706\) | 10.4319 | − | 12.4322i | 0.392609 | − | 0.467893i | ||||
\(707\) | −11.3423 | + | 10.3421i | −0.426570 | + | 0.388955i | ||||
\(708\) | 6.85696 | − | 61.2522i | 0.257700 | − | 2.30200i | ||||
\(709\) | 10.1824 | − | 8.54408i | 0.382410 | − | 0.320880i | −0.431238 | − | 0.902238i | \(-0.641923\pi\) |
0.813648 | + | 0.581358i | \(0.197479\pi\) | |||||||
\(710\) | 58.4953 | + | 101.317i | 2.19529 | + | 3.80235i | ||||
\(711\) | 17.0250 | − | 40.5506i | 0.638487 | − | 1.52076i | ||||
\(712\) | −98.8511 | − | 57.0717i | −3.70460 | − | 2.13885i | ||||
\(713\) | −1.92547 | − | 10.9199i | −0.0721093 | − | 0.408952i | ||||
\(714\) | −33.0007 | − | 2.32403i | −1.23502 | − | 0.0869745i | ||||
\(715\) | 26.6699 | − | 9.70706i | 0.997398 | − | 0.363023i | ||||
\(716\) | 8.51645 | + | 23.3988i | 0.318275 | + | 0.874453i | ||||
\(717\) | −1.44216 | − | 22.8426i | −0.0538584 | − | 0.853074i | ||||
\(718\) | −14.5497 | − | 82.5153i | −0.542989 | − | 3.07944i | ||||
\(719\) | 5.03392 | − | 8.71901i | 0.187734 | − | 0.325164i | −0.756761 | − | 0.653692i | \(-0.773219\pi\) |
0.944494 | + | 0.328528i | \(0.106553\pi\) | |||||||
\(720\) | 3.92644 | − | 81.0087i | 0.146330 | − | 3.01902i | ||||
\(721\) | 3.49204 | + | 0.468472i | 0.130050 | + | 0.0174468i | ||||
\(722\) | −30.6249 | − | 36.4973i | −1.13974 | − | 1.35829i | ||||
\(723\) | −9.42892 | − | 21.5691i | −0.350665 | − | 0.802163i | ||||
\(724\) | 8.20787 | + | 1.44727i | 0.305043 | + | 0.0537874i | ||||
\(725\) | 6.64587 | − | 7.92024i | 0.246821 | − | 0.294150i | ||||
\(726\) | 31.8995 | + | 33.4830i | 1.18390 | + | 1.24267i | ||||
\(727\) | 7.35676 | − | 20.2125i | 0.272847 | − | 0.749641i | −0.725279 | − | 0.688455i | \(-0.758289\pi\) |
0.998126 | − | 0.0611864i | \(-0.0194884\pi\) | |||||||
\(728\) | −25.3892 | − | 19.5812i | −0.940987 | − | 0.725727i | ||||
\(729\) | −3.90916 | + | 26.7155i | −0.144784 | + | 0.989463i | ||||
\(730\) | −113.556 | −4.20289 | ||||||||
\(731\) | −0.812341 | − | 0.295668i | −0.0300455 | − | 0.0109357i | ||||
\(732\) | −6.70001 | − | 7.03262i | −0.247640 | − | 0.259933i | ||||
\(733\) | −10.3290 | + | 12.3096i | −0.381510 | + | 0.454666i | −0.922290 | − | 0.386498i | \(-0.873685\pi\) |
0.540780 | + | 0.841164i | \(0.318129\pi\) | |||||||
\(734\) | 12.8620 | − | 72.9439i | 0.474744 | − | 2.69241i | ||||
\(735\) | −25.4689 | − | 32.2136i | −0.939435 | − | 1.18822i | ||||
\(736\) | 19.5455 | − | 16.4006i | 0.720455 | − | 0.604534i | ||||
\(737\) | 3.52458 | − | 2.03492i | 0.129830 | − | 0.0749572i | ||||
\(738\) | 95.1653 | + | 4.61260i | 3.50308 | + | 0.169792i | ||||
\(739\) | −14.4202 | + | 24.9765i | −0.530456 | + | 0.918777i | 0.468912 | + | 0.883245i | \(0.344646\pi\) |
−0.999369 | + | 0.0355323i | \(0.988687\pi\) | |||||||
\(740\) | −4.86263 | − | 27.5773i | −0.178754 | − | 1.01376i | ||||
\(741\) | −2.12157 | + | 0.133944i | −0.0779379 | + | 0.00492057i | ||||
\(742\) | 27.9830 | + | 8.89871i | 1.02729 | + | 0.326682i | ||||
\(743\) | 14.1355 | + | 38.8370i | 0.518581 | + | 1.42479i | 0.872084 | + | 0.489357i | \(0.162768\pi\) |
−0.353502 | + | 0.935434i | \(0.615009\pi\) | |||||||
\(744\) | 19.8798 | + | 29.9072i | 0.728827 | + | 1.09645i | ||||
\(745\) | −33.3325 | + | 5.87741i | −1.22121 | + | 0.215332i | ||||
\(746\) | 5.97603 | + | 3.45026i | 0.218798 | + | 0.126323i | ||||
\(747\) | 8.10442 | − | 19.3033i | 0.296525 | − | 0.706271i | ||||
\(748\) | −51.7967 | + | 29.9048i | −1.89387 | + | 1.09343i | ||||
\(749\) | −0.585462 | − | 14.2109i | −0.0213923 | − | 0.519257i | ||||
\(750\) | −22.0520 | − | 2.46864i | −0.805226 | − | 0.0901421i | ||||
\(751\) | −4.57803 | + | 25.9633i | −0.167055 | + | 0.947415i | 0.779866 | + | 0.625947i | \(0.215287\pi\) |
−0.946920 | + | 0.321468i | \(0.895824\pi\) | |||||||
\(752\) | −17.7344 | − | 14.8810i | −0.646709 | − | 0.542653i | ||||
\(753\) | 39.5063 | + | 11.6179i | 1.43969 | + | 0.423381i | ||||
\(754\) | 2.54376 | − | 6.98891i | 0.0926381 | − | 0.254521i | ||||
\(755\) | 28.9957 | 1.05526 | ||||||||
\(756\) | −3.52888 | − | 63.1827i | −0.128344 | − | 2.29793i | ||||
\(757\) | 19.0655 | 0.692946 | 0.346473 | − | 0.938060i | \(-0.387379\pi\) | ||||
0.346473 | + | 0.938060i | \(0.387379\pi\) | |||||||
\(758\) | −12.9714 | + | 35.6387i | −0.471143 | + | 1.29445i | ||||
\(759\) | 6.74429 | + | 27.8509i | 0.244802 | + | 1.01092i | ||||
\(760\) | 11.7565 | + | 9.86490i | 0.426454 | + | 0.357838i | ||||
\(761\) | −8.16798 | + | 46.3229i | −0.296089 | + | 1.67920i | 0.366654 | + | 0.930358i | \(0.380503\pi\) |
−0.662743 | + | 0.748847i | \(0.730608\pi\) | |||||||
\(762\) | −32.2840 | + | 43.8090i | −1.16953 | + | 1.58703i | ||||
\(763\) | 22.1490 | − | 0.912494i | 0.801848 | − | 0.0330345i | ||||
\(764\) | 47.2037 | − | 27.2531i | 1.70777 | − | 0.985981i | ||||
\(765\) | −19.3867 | + | 20.9541i | −0.700926 | + | 0.757596i | ||||
\(766\) | 65.4194 | + | 37.7699i | 2.36370 | + | 1.36468i | ||||
\(767\) | −13.7936 | + | 2.43219i | −0.498059 | + | 0.0878212i | ||||
\(768\) | 19.8389 | − | 39.9871i | 0.715874 | − | 1.44291i | ||||
\(769\) | 9.11120 | + | 25.0328i | 0.328558 | + | 0.902706i | 0.988477 | + | 0.151369i | \(0.0483683\pi\) |
−0.659919 | + | 0.751337i | \(0.729409\pi\) | |||||||
\(770\) | −101.492 | − | 32.2749i | −3.65753 | − | 1.16311i | ||||
\(771\) | 7.61838 | − | 15.3556i | 0.274369 | − | 0.553017i | ||||
\(772\) | −13.8724 | − | 78.6740i | −0.499277 | − | 2.83154i | ||||
\(773\) | 3.41916 | − | 5.92216i | 0.122979 | − | 0.213005i | −0.797962 | − | 0.602707i | \(-0.794089\pi\) |
0.920941 | + | 0.389702i | \(0.127422\pi\) | |||||||
\(774\) | 0.524518 | − | 2.31336i | 0.0188534 | − | 0.0831521i | ||||
\(775\) | 17.3737 | − | 10.0307i | 0.624082 | − | 0.360314i | ||||
\(776\) | 30.2315 | − | 25.3673i | 1.08525 | − | 0.910632i | ||||
\(777\) | −2.26483 | − | 7.91318i | −0.0812505 | − | 0.283884i | ||||
\(778\) | −15.2908 | + | 86.7186i | −0.548203 | + | 3.10901i | ||||
\(779\) | −5.38170 | + | 6.41366i | −0.192819 | + | 0.229793i | ||||
\(780\) | −47.5504 | + | 11.5147i | −1.70258 | + | 0.412291i | ||||
\(781\) | 58.4195 | + | 21.2630i | 2.09041 | + | 0.760848i | ||||
\(782\) | −25.8243 | −0.923474 | ||||||||
\(783\) | 7.75803 | − | 2.95283i | 0.277249 | − | 0.105526i | ||||
\(784\) | 14.1953 | + | 54.0392i | 0.506976 | + | 1.92997i | ||||
\(785\) | −0.144394 | + | 0.396720i | −0.00515365 | + | 0.0141595i | ||||
\(786\) | 14.9482 | − | 50.8307i | 0.533185 | − | 1.81307i | ||||
\(787\) | 23.0217 | − | 27.4362i | 0.820636 | − | 0.977996i | −0.179347 | − | 0.983786i | \(-0.557399\pi\) |
0.999983 | + | 0.00579002i | \(0.00184303\pi\) | |||||||
\(788\) | −75.3664 | − | 13.2891i | −2.68482 | − | 0.473405i | ||||
\(789\) | 17.2362 | + | 1.92953i | 0.613625 | + | 0.0686931i | ||||
\(790\) | 82.0139 | + | 97.7404i | 2.91792 | + | 3.47745i | ||||
\(791\) | 30.5325 | + | 4.09607i | 1.08561 | + | 0.145639i | ||||
\(792\) | −56.1437 | − | 73.8994i | −1.99498 | − | 2.62590i | ||||
\(793\) | −1.10366 | + | 1.91160i | −0.0391923 | + | 0.0678830i | ||||
\(794\) | −10.6400 | − | 60.3423i | −0.377598 | − | 2.14147i | ||||
\(795\) | 21.1015 | − | 14.0265i | 0.748393 | − | 0.497467i | ||||
\(796\) | 35.2701 | + | 96.9037i | 1.25011 | + | 3.43466i | ||||
\(797\) | −21.1088 | + | 7.68297i | −0.747712 | + | 0.272145i | −0.687643 | − | 0.726049i | \(-0.741354\pi\) |
−0.0600693 | + | 0.998194i | \(0.519132\pi\) | |||||||
\(798\) | 6.61099 | + | 4.46393i | 0.234027 | + | 0.158021i | ||||
\(799\) | 1.41498 | + | 8.02473i | 0.0500583 | + | 0.283894i | ||||
\(800\) | 39.9778 | + | 23.0812i | 1.41343 | + | 0.816043i | ||||
\(801\) | −45.5229 | + | 23.4208i | −1.60847 | + | 0.827532i | ||||
\(802\) | 32.3121 | + | 55.9661i | 1.14098 | + | 1.97623i | ||||
\(803\) | −46.2258 | + | 38.7881i | −1.63127 | + | 1.36880i | ||||
\(804\) | −6.42829 | + | 2.81013i | −0.226708 | + | 0.0991055i | ||||
\(805\) | −21.5985 | − | 23.6873i | −0.761248 | − | 0.834868i | ||||
\(806\) | 9.27617 | − | 11.0549i | 0.326739 | − | 0.389393i | ||||
\(807\) | −18.1980 | + | 17.3373i | −0.640598 | + | 0.610301i | ||||
\(808\) | 13.2723 | − | 36.4653i | 0.466918 | − | 1.28285i | ||||
\(809\) | 18.6798i | 0.656746i | 0.944548 | + | 0.328373i | \(0.106500\pi\) | ||||
−0.944548 | + | 0.328373i | \(0.893500\pi\) | |||||||
\(810\) | −63.7308 | − | 45.5424i | −2.23927 | − | 1.60020i | ||||
\(811\) | − | 45.1917i | − | 1.58689i | −0.608640 | − | 0.793447i | \(-0.708284\pi\) | ||
0.608640 | − | 0.793447i | \(-0.291716\pi\) | |||||||
\(812\) | −16.4342 | + | 10.4130i | −0.576726 | + | 0.365425i | ||||
\(813\) | −0.297648 | − | 0.312424i | −0.0104390 | − | 0.0109572i | ||||
\(814\) | −16.3522 | − | 13.7211i | −0.573143 | − | 0.480924i | ||||
\(815\) | −6.71526 | + | 38.0841i | −0.235225 | + | 1.33403i | ||||
\(816\) | 35.5880 | − | 15.5573i | 1.24583 | − | 0.544614i | ||||
\(817\) | 0.133986 | + | 0.159679i | 0.00468758 | + | 0.00558645i | ||||
\(818\) | 0.456936 | + | 0.791436i | 0.0159764 | + | 0.0276719i | ||||
\(819\) | −13.5486 | + | 4.82024i | −0.473427 | + | 0.168433i | ||||
\(820\) | −96.3448 | + | 166.874i | −3.36451 | + | 5.82749i | ||||
\(821\) | −20.6869 | + | 3.64765i | −0.721976 | + | 0.127304i | −0.522550 | − | 0.852609i | \(-0.675019\pi\) |
−0.199427 | + | 0.979913i | \(0.563908\pi\) | |||||||
\(822\) | 26.9186 | − | 1.69949i | 0.938894 | − | 0.0592765i | ||||
\(823\) | −22.7468 | + | 8.27916i | −0.792904 | + | 0.288593i | −0.706543 | − | 0.707671i | \(-0.749746\pi\) |
−0.0863611 | + | 0.996264i | \(0.527524\pi\) | |||||||
\(824\) | −8.37026 | + | 3.04653i | −0.291592 | + | 0.106131i | ||||
\(825\) | −43.1768 | + | 28.7002i | −1.50322 | + | 0.999213i | ||||
\(826\) | 46.5601 | + | 24.3833i | 1.62003 | + | 0.848405i | ||||
\(827\) | −5.68375 | − | 3.28152i | −0.197644 | − | 0.114110i | 0.397912 | − | 0.917423i | \(-0.369735\pi\) |
−0.595556 | + | 0.803314i | \(0.703068\pi\) | |||||||
\(828\) | −6.21261 | − | 49.0053i | −0.215903 | − | 1.70305i | ||||
\(829\) | −23.4539 | + | 13.5411i | −0.814588 | + | 0.470303i | −0.848547 | − | 0.529121i | \(-0.822522\pi\) |
0.0339585 | + | 0.999423i | \(0.489189\pi\) | |||||||
\(830\) | 39.0411 | + | 46.5274i | 1.35514 | + | 1.61499i | ||||
\(831\) | −2.81815 | + | 25.1741i | −0.0977607 | + | 0.873282i | ||||
\(832\) | 4.21926 | + | 0.743969i | 0.146276 | + | 0.0257925i | ||||
\(833\) | 8.39871 | − | 17.7823i | 0.290998 | − | 0.616120i | ||||
\(834\) | −25.0807 | − | 7.37568i | −0.868473 | − | 0.255399i | ||||
\(835\) | −32.4334 | − | 11.8048i | −1.12240 | − | 0.408521i | ||||
\(836\) | 14.4215 | 0.498779 | ||||||||
\(837\) | 16.1050 | − | 0.235461i | 0.556670 | − | 0.00813871i | ||||
\(838\) | − | 68.4378i | − | 2.36415i | ||||||
\(839\) | −0.0158875 | − | 0.00578259i | −0.000548499 | − | 0.000199637i | 0.341746 | − | 0.939792i | \(-0.388982\pi\) |
−0.342294 | + | 0.939593i | \(0.611204\pi\) | |||||||
\(840\) | 94.8229 | + | 42.2741i | 3.27170 | + | 1.45859i | ||||
\(841\) | 20.2603 | + | 17.0004i | 0.698630 | + | 0.586220i | ||||
\(842\) | 72.1105 | + | 12.7150i | 2.48509 | + | 0.438189i | ||||
\(843\) | −24.4753 | + | 33.2127i | −0.842975 | + | 1.14391i | ||||
\(844\) | −30.0125 | + | 25.1835i | −1.03307 | + | 0.866851i | ||||
\(845\) | −16.4567 | − | 28.5038i | −0.566127 | − | 0.980560i | ||||
\(846\) | −21.3563 | + | 6.62114i | −0.734246 | + | 0.227639i | ||||
\(847\) | −25.4242 | + | 10.4579i | −0.873585 | + | 0.359337i | ||||
\(848\) | −33.9504 | + | 5.98637i | −1.16586 | + | 0.205573i | ||||
\(849\) | 29.9641 | + | 14.8661i | 1.02837 | + | 0.510205i | ||||
\(850\) | −15.9800 | − | 43.9046i | −0.548109 | − | 1.50592i | ||||
\(851\) | −2.19751 | − | 6.03761i | −0.0753296 | − | 0.206966i | ||||
\(852\) | −96.0019 | − | 47.6296i | −3.28897 | − | 1.63176i | ||||
\(853\) | 48.3871 | − | 8.53196i | 1.65674 | − | 0.292129i | 0.734463 | − | 0.678649i | \(-0.237434\pi\) |
0.922281 | + | 0.386520i | \(0.126323\pi\) | |||||||
\(854\) | 7.66018 | − | 3.15091i | 0.262126 | − | 0.107822i | ||||
\(855\) | 6.57457 | − | 2.03832i | 0.224846 | − | 0.0697092i | ||||
\(856\) | 17.9789 | + | 31.1403i | 0.614505 | + | 1.06435i | ||||
\(857\) | 39.9664 | − | 33.5358i | 1.36523 | − | 1.14556i | 0.390897 | − | 0.920434i | \(-0.372165\pi\) |
0.974329 | − | 0.225127i | \(-0.0722797\pi\) | |||||||
\(858\) | −22.1249 | + | 30.0232i | −0.755331 | + | 1.02498i | ||||
\(859\) | 13.3149 | + | 2.34777i | 0.454297 | + | 0.0801048i | 0.396114 | − | 0.918201i | \(-0.370358\pi\) |
0.0581825 | + | 0.998306i | \(0.481469\pi\) | |||||||
\(860\) | 3.67496 | + | 3.08366i | 0.125315 | + | 0.105152i | ||||
\(861\) | −23.0622 | + | 51.7297i | −0.785957 | + | 1.76294i | ||||
\(862\) | 63.0054 | + | 22.9321i | 2.14597 | + | 0.781070i | ||||
\(863\) | 4.93737i | 0.168070i | 0.996463 | + | 0.0840349i | \(0.0267807\pi\) | ||||
−0.996463 | + | 0.0840349i | \(0.973219\pi\) | |||||||
\(864\) | 18.9984 | + | 31.8226i | 0.646339 | + | 1.08263i | ||||
\(865\) | 63.9698 | 2.17504 | ||||||||
\(866\) | −51.4523 | − | 18.7271i | −1.74842 | − | 0.636373i | ||||
\(867\) | 15.1333 | + | 4.45037i | 0.513954 | + | 0.151143i | ||||
\(868\) | −36.8752 | + | 8.07997i | −1.25163 | + | 0.274252i | ||||
\(869\) | 66.7717 | + | 11.7737i | 2.26508 | + | 0.399394i | ||||
\(870\) | −2.67919 | + | 23.9328i | −0.0908332 | + | 0.811399i | ||||
\(871\) | 1.02480 | + | 1.22131i | 0.0347239 | + | 0.0413823i | ||||
\(872\) | −48.5349 | + | 28.0217i | −1.64360 | + | 0.948933i | ||||
\(873\) | −2.22611 | − | 17.5596i | −0.0753423 | − | 0.594303i | ||||
\(874\) | 5.39261 | + | 3.11342i | 0.182408 | + | 0.105313i | ||||
\(875\) | 6.11956 | − | 11.6853i | 0.206879 | − | 0.395036i | ||||
\(876\) | 86.6291 | − | 57.5836i | 2.92693 | − | 1.94557i | ||||
\(877\) | −28.7212 | + | 10.4537i | −0.969847 | + | 0.352995i | −0.777885 | − | 0.628407i | \(-0.783707\pi\) |
−0.191962 | + | 0.981402i | \(0.561485\pi\) | |||||||
\(878\) | 4.33247 | − | 1.57689i | 0.146214 | − | 0.0532174i | ||||
\(879\) | −39.1228 | + | 2.47000i | −1.31958 | + | 0.0833110i | ||||
\(880\) | 123.135 | − | 21.7121i | 4.15089 | − | 0.731915i | ||||
\(881\) | −18.8633 | + | 32.6722i | −0.635521 | + | 1.10075i | 0.350883 | + | 0.936419i | \(0.385881\pi\) |
−0.986404 | + | 0.164336i | \(0.947452\pi\) | |||||||
\(882\) | 51.3047 | + | 16.7260i | 1.72752 | + | 0.563194i | ||||
\(883\) | −22.0384 | − | 38.1716i | −0.741651 | − | 1.28458i | −0.951743 | − | 0.306896i | \(-0.900710\pi\) |
0.210092 | − | 0.977682i | \(-0.432624\pi\) | |||||||
\(884\) | −15.0602 | − | 17.9481i | −0.506531 | − | 0.603660i | ||||
\(885\) | 41.5554 | − | 18.1659i | 1.39687 | − | 0.610642i | ||||
\(886\) | −8.93056 | + | 50.6477i | −0.300028 | + | 1.70154i | ||||
\(887\) | −22.3368 | − | 18.7428i | −0.749998 | − | 0.629323i | 0.185505 | − | 0.982643i | \(-0.440608\pi\) |
−0.935502 | + | 0.353321i | \(0.885052\pi\) | |||||||
\(888\) | 14.3535 | + | 15.0661i | 0.481672 | + | 0.505584i | ||||
\(889\) | −17.3144 | − | 27.3262i | −0.580707 | − | 0.916491i | ||||
\(890\) | − | 148.522i | − | 4.97848i | ||||||
\(891\) | −41.4995 | + | 3.22977i | −1.39029 | + | 0.108201i | ||||
\(892\) | − | 13.8553i | − | 0.463908i | ||||||
\(893\) | 0.672002 | − | 1.84631i | 0.0224877 | − | 0.0617844i | ||||
\(894\) | 32.2018 | − | 30.6788i | 1.07699 | − | 1.02605i | ||||
\(895\) | −11.7774 | + | 14.0358i | −0.393676 | + | 0.469165i | ||||
\(896\) | 14.5978 | + | 16.0095i | 0.487677 | + | 0.534840i | ||||
\(897\) | −10.2857 | + | 4.49638i | −0.343428 | + | 0.150130i | ||||
\(898\) | 0.330137 | − | 0.277018i | 0.0110168 | − | 0.00924421i | ||||
\(899\) | −2.47595 | − | 4.28847i | −0.0825776 | − | 0.143029i | ||||
\(900\) | 79.4711 | − | 40.8866i | 2.64904 | − | 1.36289i | ||||
\(901\) | 10.5085 | + | 6.06707i | 0.350088 | + | 0.202123i | ||||
\(902\) | 25.5064 | + | 144.654i | 0.849270 | + | 4.81645i | ||||
\(903\) | 1.16863 | + | 0.789089i | 0.0388894 | + | 0.0262592i | ||||
\(904\) | −73.1850 | + | 26.6372i | −2.43410 | + | 0.885939i | ||||
\(905\) | 2.09752 | + | 5.76290i | 0.0697240 | + | 0.191565i | ||||
\(906\) | −31.7312 | + | 21.0922i | −1.05420 | + | 0.700741i | ||||
\(907\) | −6.57304 | − | 37.2776i | −0.218254 | − | 1.23778i | −0.875169 | − | 0.483817i | \(-0.839250\pi\) |
0.656915 | − | 0.753964i | \(-0.271861\pi\) | |||||||
\(908\) | 23.1434 | − | 40.0856i | 0.768042 | − | 1.33029i | ||||
\(909\) | −10.5289 | − | 13.8587i | −0.349222 | − | 0.459665i | ||||
\(910\) | 5.54723 | − | 41.3496i | 0.183889 | − | 1.37073i | ||||
\(911\) | −27.6782 | − | 32.9856i | −0.917021 | − | 1.09286i | −0.995387 | − | 0.0959383i | \(-0.969415\pi\) |
0.0783664 | − | 0.996925i | \(-0.475030\pi\) | |||||||
\(912\) | −9.30707 | − | 1.04189i | −0.308188 | − | 0.0345005i | ||||
\(913\) | 31.7854 | + | 5.60462i | 1.05194 | + | 0.185486i | ||||
\(914\) | −33.7846 | + | 40.2629i | −1.11750 | + | 1.33178i | ||||
\(915\) | 2.01648 | − | 6.85695i | 0.0666627 | − | 0.226684i | ||||
\(916\) | −40.4420 | + | 111.114i | −1.33624 | + | 3.67130i | ||||
\(917\) | 24.9402 | + | 19.2349i | 0.823598 | + | 0.635192i | ||||
\(918\) | 5.97313 | − | 37.0333i | 0.197143 | − | 1.22228i | ||||
\(919\) | 30.6114 | 1.00978 | 0.504888 | − | 0.863185i | \(-0.331534\pi\) | ||||
0.504888 | + | 0.863185i | \(0.331534\pi\) | |||||||
\(920\) | 76.1545 | + | 27.7180i | 2.51074 | + | 0.913835i | ||||
\(921\) | −6.70948 | + | 1.62475i | −0.221085 | + | 0.0535373i | ||||
\(922\) | 3.19544 | − | 3.80818i | 0.105236 | − | 0.125416i | ||||
\(923\) | −4.22898 | + | 23.9837i | −0.139198 | + | 0.789434i | ||||
\(924\) | 93.7925 | − | 26.8444i | 3.08555 | − | 0.883115i | ||||
\(925\) | 8.90490 | − | 7.47210i | 0.292791 | − | 0.245681i | ||||
\(926\) | 88.9670 | − | 51.3651i | 2.92364 | − | 1.68796i | ||||
\(927\) | −0.883396 | + | 3.89618i | −0.0290145 | + | 0.127967i | ||||
\(928\) | 5.69729 | − | 9.86800i | 0.187023 | − | 0.323933i | ||||
\(929\) | 0.783935 | + | 4.44592i | 0.0257201 | + | 0.145866i | 0.994963 | − | 0.100238i | \(-0.0319606\pi\) |
−0.969243 | + | 0.246104i | \(0.920849\pi\) | |||||||
\(930\) | −20.7677 | + | 41.8593i | −0.681000 | + | 1.37262i | ||||
\(931\) | −3.89768 | + | 2.70072i | −0.127741 | + | 0.0885125i | ||||
\(932\) | −0.403974 | − | 1.10991i | −0.0132326 | − | 0.0363563i | ||||
\(933\) | 2.01368 | − | 4.05877i | 0.0659251 | − | 0.132878i | ||||
\(934\) | 4.34695 | − | 0.766485i | 0.142237 | − | 0.0250801i | ||||
\(935\) | −38.1134 | − | 22.0048i | −1.24644 | − | 0.719633i | ||||
\(936\) | 24.6901 | − | 26.6863i | 0.807021 | − | 0.872269i | ||||
\(937\) | −4.61706 | + | 2.66566i | −0.150833 | + | 0.0870833i | −0.573517 | − | 0.819194i | \(-0.694421\pi\) |
0.422684 | + | 0.906277i | \(0.361088\pi\) | |||||||
\(938\) | −0.246260 | − | 5.97747i | −0.00804066 | − | 0.195171i | ||||
\(939\) | −26.9196 | + | 36.5296i | −0.878489 | + | 1.19210i | ||||
\(940\) | 7.85228 | − | 44.5325i | 0.256113 | − | 1.45249i | ||||
\(941\) | −9.86127 | − | 8.27459i | −0.321468 | − | 0.269744i | 0.467745 | − | 0.883864i | \(-0.345067\pi\) |
−0.789213 | + | 0.614120i | \(0.789511\pi\) | |||||||
\(942\) | −0.130567 | − | 0.539184i | −0.00425411 | − | 0.0175676i | ||||
\(943\) | −15.1213 | + | 41.5453i | −0.492416 | + | 1.35290i | ||||
\(944\) | −61.7053 | −2.00834 | ||||||||
\(945\) | 38.9645 | − | 25.4945i | 1.26752 | − | 0.829337i | ||||
\(946\) | 3.65696 | 0.118898 | ||||||||
\(947\) | 9.46635 | − | 26.0086i | 0.307615 | − | 0.845165i | −0.685505 | − | 0.728068i | \(-0.740419\pi\) |
0.993120 | − | 0.117098i | \(-0.0373591\pi\) | |||||||
\(948\) | −112.130 | − | 32.9750i | −3.64182 | − | 1.07098i | ||||
\(949\) | −18.1083 | − | 15.1947i | −0.587820 | − | 0.493240i | ||||
\(950\) | −1.95630 | + | 11.0947i | −0.0634707 | + | 0.359960i | ||||
\(951\) | −8.62793 | − | 0.965865i | −0.279780 | − | 0.0313203i | ||||
\(952\) | 2.04655 | + | 49.6760i | 0.0663291 | + | 1.61001i | ||||
\(953\) | −39.2760 | + | 22.6760i | −1.27227 | + | 0.734547i | −0.975415 | − | 0.220374i | \(-0.929272\pi\) |
−0.296858 | + | 0.954922i | \(0.595939\pi\) | |||||||
\(954\) | −12.8891 | + | 30.6995i | −0.417300 | + | 0.993934i | ||||
\(955\) | 34.7338 | + | 20.0535i | 1.12396 | + | 0.648917i | ||||
\(956\) | −59.9024 | + | 10.5624i | −1.93738 | + | 0.341613i | ||||
\(957\) | 7.08427 | + | 10.6576i | 0.229002 | + | 0.344512i | ||||
\(958\) | −26.3766 | − | 72.4692i | −0.852191 | − | 2.34137i | ||||
\(959\) | −4.85900 | + | 15.2797i | −0.156905 | + | 0.493407i | ||||
\(960\) | −13.8451 | + | 0.874102i | −0.446848 | + | 0.0282115i | ||||
\(961\) | 3.71462 | + | 21.0666i | 0.119826 | + | 0.679569i | ||||
\(962\) | 4.18104 | − | 7.24178i | 0.134802 | − | 0.233484i | ||||
\(963\) | 16.1085 | + | 0.780766i | 0.519088 | + | 0.0251598i | ||||
\(964\) | −54.1775 | + | 31.2794i | −1.74494 | + | 1.00744i | ||||
\(965\) | 45.0308 | − | 37.7853i | 1.44959 | − | 1.21635i | ||||
\(966\) | 40.8670 | + | 10.2107i | 1.31487 | + | 0.328525i | ||||
\(967\) | −2.82307 | + | 16.0104i | −0.0907838 | + | 0.514860i | 0.905174 | + | 0.425041i | \(0.139740\pi\) |
−0.995958 | + | 0.0898197i | \(0.971371\pi\) | |||||||
\(968\) | 44.6745 | − | 53.2409i | 1.43589 | − | 1.71123i | ||||
\(969\) | 2.27375 | + | 2.38662i | 0.0730433 | + | 0.0766694i | ||||
\(970\) | 48.2539 | + | 17.5630i | 1.54934 | + | 0.563914i | ||||
\(971\) | 38.7014 | 1.24199 | 0.620993 | − | 0.783816i | \(-0.286730\pi\) | ||||
0.620993 | + | 0.783816i | \(0.286730\pi\) | |||||||
\(972\) | 71.7131 | + | 2.42569i | 2.30020 | + | 0.0778042i | ||||
\(973\) | 9.49079 | − | 12.3059i | 0.304261 | − | 0.394508i | ||||
\(974\) | 32.6155 | − | 89.6104i | 1.04507 | − | 2.87130i | ||||
\(975\) | −14.0092 | − | 14.7046i | −0.448652 | − | 0.470925i | ||||
\(976\) | −6.25073 | + | 7.44932i | −0.200081 | + | 0.238447i | ||||
\(977\) | −30.7656 | − | 5.42481i | −0.984279 | − | 0.173555i | −0.341729 | − | 0.939799i | \(-0.611012\pi\) |
−0.642550 | + | 0.766244i | \(0.722124\pi\) | |||||||
\(978\) | −20.3546 | − | 46.5620i | −0.650867 | − | 1.48889i | ||||
\(979\) | −50.7318 | − | 60.4598i | −1.62140 | − | 1.93230i | ||||
\(980\) | −77.5480 | + | 76.7891i | −2.47718 | + | 2.45294i | ||||
\(981\) | −1.21689 | + | 25.1065i | −0.0388524 | + | 0.801588i | ||||
\(982\) | 43.9161 | − | 76.0649i | 1.40142 | − | 2.42733i | ||||
\(983\) | 2.40791 | + | 13.6559i | 0.0768003 | + | 0.435556i | 0.998827 | + | 0.0484290i | \(0.0154215\pi\) |
−0.922026 | + | 0.387127i | \(0.873467\pi\) | |||||||
\(984\) | −9.02212 | − | 142.903i | −0.287615 | − | 4.55559i | ||||
\(985\) | −19.2599 | − | 52.9161i | −0.613671 | − | 1.68605i | ||||
\(986\) | −10.8373 | + | 3.94445i | −0.345130 | + | 0.125617i | ||||
\(987\) | 0.933720 | − | 13.2586i | 0.0297206 | − | 0.422026i | ||||
\(988\) | 0.981013 | + | 5.56360i | 0.0312102 | + | 0.177002i | ||||
\(989\) | 0.953253 | + | 0.550361i | 0.0303117 | + | 0.0175005i | ||||
\(990\) | 46.7477 | − | 111.345i | 1.48574 | − | 3.53877i | ||||
\(991\) | 0.458511 | + | 0.794164i | 0.0145651 | + | 0.0252275i | 0.873216 | − | 0.487333i | \(-0.162030\pi\) |
−0.858651 | + | 0.512561i | \(0.828697\pi\) | |||||||
\(992\) | 16.9367 | − | 14.2116i | 0.537742 | − | 0.451219i | ||||
\(993\) | 1.39584 | − | 12.4688i | 0.0442957 | − | 0.395687i | ||||
\(994\) | 67.5286 | − | 61.5738i | 2.14188 | − | 1.95300i | ||||
\(995\) | −48.7751 | + | 58.1278i | −1.54627 | + | 1.84278i | ||||
\(996\) | −53.3773 | − | 15.6971i | −1.69133 | − | 0.497382i | ||||
\(997\) | 5.13116 | − | 14.0978i | 0.162506 | − | 0.446480i | −0.831537 | − | 0.555469i | \(-0.812539\pi\) |
0.994043 | + | 0.108988i | \(0.0347611\pi\) | |||||||
\(998\) | 60.3227i | 1.90948i | ||||||||
\(999\) | 9.16651 | − | 1.75484i | 0.290016 | − | 0.0555208i |
(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 | 189.2.be.a.104.2 | yes | 132 | |
3.2 | odd | 2 | 567.2.be.a.503.21 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.104.1 | yes | 132 | |
21.20 | even | 2 | 567.2.be.a.503.22 | 132 | |||
27.7 | even | 9 | 567.2.be.a.62.22 | 132 | |||
27.20 | odd | 18 | inner | 189.2.be.a.20.1 | ✓ | 132 | |
189.20 | even | 18 | inner | 189.2.be.a.20.2 | yes | 132 | |
189.34 | odd | 18 | 567.2.be.a.62.21 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.1 | ✓ | 132 | 27.20 | odd | 18 | inner | |
189.2.be.a.20.2 | yes | 132 | 189.20 | even | 18 | inner | |
189.2.be.a.104.1 | yes | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.104.2 | yes | 132 | 1.1 | even | 1 | trivial | |
567.2.be.a.62.21 | 132 | 189.34 | odd | 18 | |||
567.2.be.a.62.22 | 132 | 27.7 | even | 9 | |||
567.2.be.a.503.21 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.503.22 | 132 | 21.20 | even | 2 |