Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(401,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.401");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.v (of order \(10\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 401.7 | ||
Character | \(\chi\) | \(=\) | 930.401 |
Dual form | 930.2.v.b.821.7 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | 0.305332 | − | 1.70493i | 0.176284 | − | 0.984339i | ||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 1.19984 | + | 1.24915i | 0.489834 | + | 0.509963i | ||||
\(7\) | 0.0989466 | + | 0.304526i | 0.0373983 | + | 0.115100i | 0.968013 | − | 0.250901i | \(-0.0807267\pi\) |
−0.930615 | + | 0.366001i | \(0.880727\pi\) | |||||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | −2.81354 | − | 1.04114i | −0.937848 | − | 0.347046i | ||||
\(10\) | −0.809017 | − | 0.587785i | −0.255834 | − | 0.185874i | ||||
\(11\) | 1.22254 | + | 3.76258i | 0.368608 | + | 1.13446i | 0.947691 | + | 0.319190i | \(0.103411\pi\) |
−0.579082 | + | 0.815269i | \(0.696589\pi\) | |||||||
\(12\) | −1.71583 | + | 0.236463i | −0.495319 | + | 0.0682610i | ||||
\(13\) | 1.08444 | + | 1.49261i | 0.300770 | + | 0.413975i | 0.932475 | − | 0.361234i | \(-0.117645\pi\) |
−0.631705 | + | 0.775209i | \(0.717645\pi\) | |||||||
\(14\) | −0.304526 | − | 0.0989466i | −0.0813881 | − | 0.0264446i | ||||
\(15\) | 1.70493 | + | 0.305332i | 0.440210 | + | 0.0788364i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −1.39371 | + | 4.28941i | −0.338025 | + | 1.04034i | 0.627187 | + | 0.778869i | \(0.284206\pi\) |
−0.965212 | + | 0.261467i | \(0.915794\pi\) | |||||||
\(18\) | 2.49606 | − | 1.66424i | 0.588326 | − | 0.392265i | ||||
\(19\) | −2.96328 | − | 2.15295i | −0.679824 | − | 0.493921i | 0.193476 | − | 0.981105i | \(-0.438024\pi\) |
−0.873299 | + | 0.487184i | \(0.838024\pi\) | |||||||
\(20\) | 0.951057 | − | 0.309017i | 0.212663 | − | 0.0690983i | ||||
\(21\) | 0.549406 | − | 0.0757150i | 0.119890 | − | 0.0165224i | ||||
\(22\) | −3.76258 | − | 1.22254i | −0.802184 | − | 0.260645i | ||||
\(23\) | 0.340963 | − | 1.04938i | 0.0710957 | − | 0.218810i | −0.909195 | − | 0.416371i | \(-0.863302\pi\) |
0.980291 | + | 0.197561i | \(0.0633019\pi\) | |||||||
\(24\) | 0.817239 | − | 1.52713i | 0.166818 | − | 0.311724i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −1.84496 | −0.361827 | ||||||||
\(27\) | −2.63413 | + | 4.47899i | −0.506938 | + | 0.861983i | ||||
\(28\) | 0.259046 | − | 0.188208i | 0.0489550 | − | 0.0355679i | ||||
\(29\) | 6.99130 | + | 5.07948i | 1.29825 | + | 0.943236i | 0.999937 | − | 0.0112317i | \(-0.00357525\pi\) |
0.298315 | + | 0.954467i | \(0.403575\pi\) | |||||||
\(30\) | −1.24915 | + | 1.19984i | −0.228062 | + | 0.219061i | ||||
\(31\) | −3.36249 | + | 4.43776i | −0.603920 | + | 0.797045i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 6.78819 | − | 0.935497i | 1.18167 | − | 0.162849i | ||||
\(34\) | −2.65100 | − | 3.64879i | −0.454643 | − | 0.625763i | ||||
\(35\) | −0.304526 | + | 0.0989466i | −0.0514743 | + | 0.0167250i | ||||
\(36\) | −0.120747 | + | 2.99757i | −0.0201245 | + | 0.499595i | ||||
\(37\) | 3.30588i | 0.543484i | 0.962370 | + | 0.271742i | \(0.0875997\pi\) | ||||
−0.962370 | + | 0.271742i | \(0.912400\pi\) | |||||||
\(38\) | 3.48355 | − | 1.13187i | 0.565106 | − | 0.183614i | ||||
\(39\) | 2.87590 | − | 1.39315i | 0.460512 | − | 0.223083i | ||||
\(40\) | −0.309017 | + | 0.951057i | −0.0488599 | + | 0.150375i | ||||
\(41\) | 3.17997 | − | 4.37686i | 0.496628 | − | 0.683550i | −0.484965 | − | 0.874534i | \(-0.661168\pi\) |
0.981593 | + | 0.190984i | \(0.0611677\pi\) | |||||||
\(42\) | −0.261678 | + | 0.488983i | −0.0403778 | + | 0.0754518i | ||||
\(43\) | −3.41809 | + | 4.70460i | −0.521254 | + | 0.717445i | −0.985766 | − | 0.168122i | \(-0.946230\pi\) |
0.464512 | + | 0.885567i | \(0.346230\pi\) | |||||||
\(44\) | 3.20064 | − | 2.32540i | 0.482514 | − | 0.350567i | ||||
\(45\) | 1.04114 | − | 2.81354i | 0.155204 | − | 0.419418i | ||||
\(46\) | 0.648550 | + | 0.892653i | 0.0956235 | + | 0.131614i | ||||
\(47\) | 1.10017 | + | 1.51425i | 0.160476 | + | 0.220876i | 0.881682 | − | 0.471845i | \(-0.156412\pi\) |
−0.721206 | + | 0.692721i | \(0.756412\pi\) | |||||||
\(48\) | 0.755111 | + | 1.55878i | 0.108991 | + | 0.224991i | ||||
\(49\) | 5.58017 | − | 4.05423i | 0.797168 | − | 0.579176i | ||||
\(50\) | 0.587785 | − | 0.809017i | 0.0831254 | − | 0.114412i | ||||
\(51\) | 6.88759 | + | 3.68588i | 0.964455 | + | 0.516126i | ||||
\(52\) | 1.08444 | − | 1.49261i | 0.150385 | − | 0.206987i | ||||
\(53\) | 0.284793 | − | 0.876502i | 0.0391193 | − | 0.120397i | −0.929590 | − | 0.368596i | \(-0.879839\pi\) |
0.968709 | + | 0.248199i | \(0.0798387\pi\) | |||||||
\(54\) | −2.07528 | − | 4.76374i | −0.282410 | − | 0.648263i | ||||
\(55\) | −3.76258 | + | 1.22254i | −0.507346 | + | 0.164847i | ||||
\(56\) | 0.320198i | 0.0427882i | ||||||||
\(57\) | −4.57541 | + | 4.39481i | −0.606027 | + | 0.582107i | ||||
\(58\) | −8.21877 | + | 2.67044i | −1.07918 | + | 0.350646i | ||||
\(59\) | 6.79254 | + | 9.34913i | 0.884314 | + | 1.21715i | 0.975207 | + | 0.221293i | \(0.0710277\pi\) |
−0.0908936 | + | 0.995861i | \(0.528972\pi\) | |||||||
\(60\) | −0.236463 | − | 1.71583i | −0.0305272 | − | 0.221513i | ||||
\(61\) | − | 0.848964i | − | 0.108699i | −0.998522 | − | 0.0543493i | \(-0.982692\pi\) | ||
0.998522 | − | 0.0543493i | \(-0.0173085\pi\) | |||||||
\(62\) | −1.61380 | − | 5.32876i | −0.204953 | − | 0.676753i | ||||
\(63\) | 0.0386629 | − | 0.959815i | 0.00487107 | − | 0.120925i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | −1.49261 | + | 1.08444i | −0.185135 | + | 0.134509i | ||||
\(66\) | −3.23317 | + | 6.04163i | −0.397975 | + | 0.743674i | ||||
\(67\) | −0.517067 | −0.0631698 | −0.0315849 | − | 0.999501i | \(-0.510055\pi\) | ||||
−0.0315849 | + | 0.999501i | \(0.510055\pi\) | |||||||
\(68\) | 4.51016 | 0.546937 | ||||||||
\(69\) | −1.68500 | − | 0.901725i | −0.202850 | − | 0.108555i | ||||
\(70\) | 0.0989466 | − | 0.304526i | 0.0118264 | − | 0.0363979i | ||||
\(71\) | 7.22603 | + | 2.34788i | 0.857572 | + | 0.278642i | 0.704614 | − | 0.709591i | \(-0.251120\pi\) |
0.152958 | + | 0.988233i | \(0.451120\pi\) | |||||||
\(72\) | −2.35411 | − | 1.85961i | −0.277435 | − | 0.219158i | ||||
\(73\) | 2.32363 | − | 0.754993i | 0.271960 | − | 0.0883653i | −0.169862 | − | 0.985468i | \(-0.554332\pi\) |
0.441822 | + | 0.897103i | \(0.354332\pi\) | |||||||
\(74\) | −2.67452 | − | 1.94315i | −0.310906 | − | 0.225886i | ||||
\(75\) | −0.305332 | + | 1.70493i | −0.0352567 | + | 0.196868i | ||||
\(76\) | −1.13187 | + | 3.48355i | −0.129835 | + | 0.399590i | ||||
\(77\) | −1.02484 | + | 0.744588i | −0.116791 | + | 0.0848537i | ||||
\(78\) | −0.563326 | + | 3.14553i | −0.0637842 | + | 0.356161i | ||||
\(79\) | −3.39328 | − | 1.10254i | −0.381774 | − | 0.124046i | 0.111842 | − | 0.993726i | \(-0.464325\pi\) |
−0.493616 | + | 0.869680i | \(0.664325\pi\) | |||||||
\(80\) | −0.587785 | − | 0.809017i | −0.0657164 | − | 0.0904508i | ||||
\(81\) | 6.83207 | + | 5.85857i | 0.759119 | + | 0.650952i | ||||
\(82\) | 1.67181 | + | 5.14530i | 0.184621 | + | 0.568204i | ||||
\(83\) | 5.91229 | + | 4.29553i | 0.648958 | + | 0.471496i | 0.862916 | − | 0.505347i | \(-0.168636\pi\) |
−0.213958 | + | 0.976843i | \(0.568636\pi\) | |||||||
\(84\) | −0.241785 | − | 0.499119i | −0.0263809 | − | 0.0544584i | ||||
\(85\) | −4.28941 | − | 1.39371i | −0.465252 | − | 0.151170i | ||||
\(86\) | −1.79700 | − | 5.53059i | −0.193775 | − | 0.596379i | ||||
\(87\) | 10.7948 | − | 10.3687i | 1.15732 | − | 1.11164i | ||||
\(88\) | 3.95621i | 0.421733i | ||||||||
\(89\) | 1.06497 | + | 3.27764i | 0.112887 | + | 0.347430i | 0.991500 | − | 0.130104i | \(-0.0415310\pi\) |
−0.878614 | + | 0.477533i | \(0.841531\pi\) | |||||||
\(90\) | 1.66424 | + | 2.49606i | 0.175426 | + | 0.263108i | ||||
\(91\) | −0.347236 | + | 0.477930i | −0.0364002 | + | 0.0501006i | ||||
\(92\) | −1.10338 | −0.115035 | ||||||||
\(93\) | 6.53937 | + | 7.08778i | 0.678101 | + | 0.734968i | ||||
\(94\) | −1.87171 | −0.193053 | ||||||||
\(95\) | 2.15295 | − | 2.96328i | 0.220888 | − | 0.304026i | ||||
\(96\) | −1.70493 | − | 0.305332i | −0.174008 | − | 0.0311628i | ||||
\(97\) | 2.64941 | + | 8.15403i | 0.269006 | + | 0.827917i | 0.990743 | + | 0.135749i | \(0.0433441\pi\) |
−0.721737 | + | 0.692168i | \(0.756656\pi\) | |||||||
\(98\) | 6.89747i | 0.696750i | ||||||||
\(99\) | 0.477700 | − | 11.8590i | 0.0480107 | − | 1.19187i | ||||
\(100\) | 0.309017 | + | 0.951057i | 0.0309017 | + | 0.0951057i | ||||
\(101\) | 13.5224 | + | 4.39369i | 1.34553 | + | 0.437188i | 0.891185 | − | 0.453640i | \(-0.149875\pi\) |
0.454341 | + | 0.890828i | \(0.349875\pi\) | |||||||
\(102\) | −7.03036 | + | 3.40567i | −0.696109 | + | 0.337212i | ||||
\(103\) | −0.496147 | − | 0.360472i | −0.0488868 | − | 0.0355183i | 0.563074 | − | 0.826407i | \(-0.309619\pi\) |
−0.611960 | + | 0.790888i | \(0.709619\pi\) | |||||||
\(104\) | 0.570125 | + | 1.75466i | 0.0559054 | + | 0.172059i | ||||
\(105\) | 0.0757150 | + | 0.549406i | 0.00738903 | + | 0.0536166i | ||||
\(106\) | 0.541708 | + | 0.745597i | 0.0526153 | + | 0.0724188i | ||||
\(107\) | −18.2962 | − | 5.94481i | −1.76876 | − | 0.574707i | −0.770718 | − | 0.637176i | \(-0.780102\pi\) |
−0.998047 | + | 0.0624698i | \(0.980102\pi\) | |||||||
\(108\) | 5.07377 | + | 1.12112i | 0.488223 | + | 0.107880i | ||||
\(109\) | 1.34964 | − | 0.980573i | 0.129272 | − | 0.0939219i | −0.521270 | − | 0.853392i | \(-0.674542\pi\) |
0.650542 | + | 0.759470i | \(0.274542\pi\) | |||||||
\(110\) | 1.22254 | − | 3.76258i | 0.116564 | − | 0.358748i | ||||
\(111\) | 5.63629 | + | 1.00939i | 0.534973 | + | 0.0958072i | ||||
\(112\) | −0.259046 | − | 0.188208i | −0.0244775 | − | 0.0177839i | ||||
\(113\) | −14.1916 | + | 4.61113i | −1.33503 | + | 0.433779i | −0.887632 | − | 0.460553i | \(-0.847651\pi\) |
−0.447403 | + | 0.894333i | \(0.647651\pi\) | |||||||
\(114\) | −0.866121 | − | 6.28479i | −0.0811197 | − | 0.588624i | ||||
\(115\) | 1.04938 | + | 0.340963i | 0.0978549 | + | 0.0317950i | ||||
\(116\) | 2.67044 | − | 8.21877i | 0.247944 | − | 0.763094i | ||||
\(117\) | −1.49712 | − | 5.32857i | −0.138409 | − | 0.492626i | ||||
\(118\) | −11.5562 | −1.06383 | ||||||||
\(119\) | −1.44414 | −0.132384 | ||||||||
\(120\) | 1.52713 | + | 0.817239i | 0.139407 | + | 0.0746034i | ||||
\(121\) | −3.76320 | + | 2.73413i | −0.342109 | + | 0.248557i | ||||
\(122\) | 0.686826 | + | 0.499008i | 0.0621823 | + | 0.0451781i | ||||
\(123\) | −6.49127 | − | 6.75801i | −0.585298 | − | 0.609349i | ||||
\(124\) | 5.25962 | + | 1.82657i | 0.472328 | + | 0.164031i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0.753781 | + | 0.595444i | 0.0671522 | + | 0.0530464i | ||||
\(127\) | −9.27031 | − | 12.7595i | −0.822607 | − | 1.13222i | −0.989254 | − | 0.146205i | \(-0.953294\pi\) |
0.166647 | − | 0.986017i | \(-0.446706\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | 6.97734 | + | 7.26406i | 0.614321 | + | 0.639565i | ||||
\(130\) | − | 1.84496i | − | 0.161814i | ||||||
\(131\) | −13.1354 | + | 4.26796i | −1.14765 | + | 0.372894i | −0.820257 | − | 0.571995i | \(-0.806170\pi\) |
−0.327392 | + | 0.944889i | \(0.606170\pi\) | |||||||
\(132\) | −2.98738 | − | 6.16687i | −0.260018 | − | 0.536757i | ||||
\(133\) | 0.362423 | − | 1.11542i | 0.0314261 | − | 0.0967196i | ||||
\(134\) | 0.303925 | − | 0.418316i | 0.0262551 | − | 0.0361370i | ||||
\(135\) | −4.47899 | − | 2.63413i | −0.385490 | − | 0.226710i | ||||
\(136\) | −2.65100 | + | 3.64879i | −0.227322 | + | 0.312881i | ||||
\(137\) | −13.2341 | + | 9.61513i | −1.13066 | + | 0.821476i | −0.985791 | − | 0.167974i | \(-0.946277\pi\) |
−0.144873 | + | 0.989450i | \(0.546277\pi\) | |||||||
\(138\) | 1.71993 | − | 0.833175i | 0.146410 | − | 0.0709245i | ||||
\(139\) | −7.07192 | − | 9.73366i | −0.599832 | − | 0.825599i | 0.395860 | − | 0.918311i | \(-0.370446\pi\) |
−0.995693 | + | 0.0927121i | \(0.970446\pi\) | |||||||
\(140\) | 0.188208 | + | 0.259046i | 0.0159064 | + | 0.0218933i | ||||
\(141\) | 2.91760 | − | 1.41335i | 0.245706 | − | 0.119026i | ||||
\(142\) | −6.14683 | + | 4.46593i | −0.515830 | + | 0.374773i | ||||
\(143\) | −4.29028 | + | 5.90506i | −0.358771 | + | 0.493806i | ||||
\(144\) | 2.88817 | − | 0.811463i | 0.240681 | − | 0.0676219i | ||||
\(145\) | −5.07948 | + | 6.99130i | −0.421828 | + | 0.580596i | ||||
\(146\) | −0.754993 | + | 2.32363i | −0.0624837 | + | 0.192305i | ||||
\(147\) | −5.20836 | − | 10.7517i | −0.429578 | − | 0.886783i | ||||
\(148\) | 3.14408 | − | 1.02157i | 0.258442 | − | 0.0839729i | ||||
\(149\) | 4.25628i | 0.348688i | 0.984685 | + | 0.174344i | \(0.0557805\pi\) | ||||
−0.984685 | + | 0.174344i | \(0.944219\pi\) | |||||||
\(150\) | −1.19984 | − | 1.24915i | −0.0979669 | − | 0.101993i | ||||
\(151\) | 5.51151 | − | 1.79080i | 0.448520 | − | 0.145733i | −0.0760432 | − | 0.997105i | \(-0.524229\pi\) |
0.524563 | + | 0.851372i | \(0.324229\pi\) | |||||||
\(152\) | −2.15295 | − | 2.96328i | −0.174627 | − | 0.240354i | ||||
\(153\) | 8.38715 | − | 10.6174i | 0.678060 | − | 0.858366i | ||||
\(154\) | − | 1.26677i | − | 0.102079i | ||||||
\(155\) | −4.43776 | − | 3.36249i | −0.356449 | − | 0.270081i | ||||
\(156\) | −2.21367 | − | 2.30463i | −0.177235 | − | 0.184518i | ||||
\(157\) | −1.87808 | − | 1.36450i | −0.149887 | − | 0.108899i | 0.510314 | − | 0.859988i | \(-0.329529\pi\) |
−0.660201 | + | 0.751089i | \(0.729529\pi\) | |||||||
\(158\) | 2.88650 | − | 2.09716i | 0.229637 | − | 0.166841i | ||||
\(159\) | −1.40741 | − | 0.753175i | −0.111615 | − | 0.0597306i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 0.353300 | 0.0278439 | ||||||||
\(162\) | −8.75547 | + | 2.08368i | −0.687895 | + | 0.163709i | ||||
\(163\) | 5.47956 | − | 16.8644i | 0.429192 | − | 1.32092i | −0.469730 | − | 0.882810i | \(-0.655649\pi\) |
0.898922 | − | 0.438108i | \(-0.144351\pi\) | |||||||
\(164\) | −5.14530 | − | 1.67181i | −0.401781 | − | 0.130546i | ||||
\(165\) | 0.935497 | + | 6.78819i | 0.0728283 | + | 0.528460i | ||||
\(166\) | −6.95031 | + | 2.25829i | −0.539449 | + | 0.175278i | ||||
\(167\) | −4.78926 | − | 3.47960i | −0.370604 | − | 0.269260i | 0.386857 | − | 0.922140i | \(-0.373561\pi\) |
−0.757461 | + | 0.652880i | \(0.773561\pi\) | |||||||
\(168\) | 0.545914 | + | 0.0977667i | 0.0421182 | + | 0.00754286i | ||||
\(169\) | 2.96536 | − | 9.12644i | 0.228105 | − | 0.702034i | ||||
\(170\) | 3.64879 | − | 2.65100i | 0.279850 | − | 0.203323i | ||||
\(171\) | 6.09581 | + | 9.14261i | 0.466158 | + | 0.699153i | ||||
\(172\) | 5.53059 | + | 1.79700i | 0.421703 | + | 0.137020i | ||||
\(173\) | −9.02889 | − | 12.4272i | −0.686454 | − | 0.944823i | 0.313535 | − | 0.949577i | \(-0.398487\pi\) |
−0.999989 | + | 0.00475374i | \(0.998487\pi\) | |||||||
\(174\) | 2.04345 | + | 14.8278i | 0.154913 | + | 1.12409i | ||||
\(175\) | −0.0989466 | − | 0.304526i | −0.00747966 | − | 0.0230200i | ||||
\(176\) | −3.20064 | − | 2.32540i | −0.241257 | − | 0.175284i | ||||
\(177\) | 18.0136 | − | 8.72619i | 1.35398 | − | 0.655901i | ||||
\(178\) | −3.27764 | − | 1.06497i | −0.245670 | − | 0.0798230i | ||||
\(179\) | 0.978206 | + | 3.01061i | 0.0731146 | + | 0.225023i | 0.980935 | − | 0.194335i | \(-0.0622550\pi\) |
−0.907821 | + | 0.419359i | \(0.862255\pi\) | |||||||
\(180\) | −2.99757 | − | 0.120747i | −0.223426 | − | 0.00899995i | ||||
\(181\) | − | 3.83839i | − | 0.285305i | −0.989773 | − | 0.142653i | \(-0.954437\pi\) | ||
0.989773 | − | 0.142653i | \(-0.0455631\pi\) | |||||||
\(182\) | −0.182553 | − | 0.561840i | −0.0135317 | − | 0.0416463i | ||||
\(183\) | −1.44742 | − | 0.259216i | −0.106996 | − | 0.0191618i | ||||
\(184\) | 0.648550 | − | 0.892653i | 0.0478118 | − | 0.0658072i | ||||
\(185\) | −3.30588 | −0.243053 | ||||||||
\(186\) | −9.57788 | + | 1.12437i | −0.702284 | + | 0.0824429i | ||||
\(187\) | −17.8431 | −1.30482 | ||||||||
\(188\) | 1.10017 | − | 1.51425i | 0.0802379 | − | 0.110438i | ||||
\(189\) | −1.62461 | − | 0.358980i | −0.118173 | − | 0.0261119i | ||||
\(190\) | 1.13187 | + | 3.48355i | 0.0821147 | + | 0.252723i | ||||
\(191\) | − | 24.9007i | − | 1.80175i | −0.434077 | − | 0.900876i | \(-0.642925\pi\) | ||
0.434077 | − | 0.900876i | \(-0.357075\pi\) | |||||||
\(192\) | 1.24915 | − | 1.19984i | 0.0901496 | − | 0.0865913i | ||||
\(193\) | 6.71504 | + | 20.6668i | 0.483359 | + | 1.48763i | 0.834343 | + | 0.551245i | \(0.185847\pi\) |
−0.350984 | + | 0.936381i | \(0.614153\pi\) | |||||||
\(194\) | −8.15403 | − | 2.64941i | −0.585426 | − | 0.190216i | ||||
\(195\) | 1.39315 | + | 2.87590i | 0.0997658 | + | 0.205947i | ||||
\(196\) | −5.58017 | − | 4.05423i | −0.398584 | − | 0.289588i | ||||
\(197\) | 3.20208 | + | 9.85498i | 0.228139 | + | 0.702138i | 0.997958 | + | 0.0638763i | \(0.0203463\pi\) |
−0.769819 | + | 0.638262i | \(0.779654\pi\) | |||||||
\(198\) | 9.31335 | + | 7.35701i | 0.661871 | + | 0.522840i | ||||
\(199\) | 1.63733 | + | 2.25359i | 0.116067 | + | 0.159752i | 0.863098 | − | 0.505037i | \(-0.168521\pi\) |
−0.747031 | + | 0.664790i | \(0.768521\pi\) | |||||||
\(200\) | −0.951057 | − | 0.309017i | −0.0672499 | − | 0.0218508i | ||||
\(201\) | −0.157877 | + | 0.881561i | −0.0111358 | + | 0.0621806i | ||||
\(202\) | −11.5028 | + | 8.35729i | −0.809335 | + | 0.588017i | ||||
\(203\) | −0.855069 | + | 2.63163i | −0.0600141 | + | 0.184704i | ||||
\(204\) | 1.37709 | − | 7.68948i | 0.0964159 | − | 0.538371i | ||||
\(205\) | 4.37686 | + | 3.17997i | 0.305693 | + | 0.222099i | ||||
\(206\) | 0.583255 | − | 0.189511i | 0.0406373 | − | 0.0132039i | ||||
\(207\) | −2.05186 | + | 2.59748i | −0.142614 | + | 0.180537i | ||||
\(208\) | −1.75466 | − | 0.570125i | −0.121664 | − | 0.0395311i | ||||
\(209\) | 4.47792 | − | 13.7816i | 0.309744 | − | 0.953295i | ||||
\(210\) | −0.488983 | − | 0.261678i | −0.0337430 | − | 0.0180575i | ||||
\(211\) | 25.7865 | 1.77521 | 0.887607 | − | 0.460601i | \(-0.152366\pi\) | ||||
0.887607 | + | 0.460601i | \(0.152366\pi\) | |||||||
\(212\) | −0.921609 | −0.0632964 | ||||||||
\(213\) | 6.20930 | − | 11.6030i | 0.425454 | − | 0.795022i | ||||
\(214\) | 15.5637 | − | 11.3077i | 1.06391 | − | 0.772979i | ||||
\(215\) | −4.70460 | − | 3.41809i | −0.320851 | − | 0.233112i | ||||
\(216\) | −3.88929 | + | 3.44579i | −0.264633 | + | 0.234456i | ||||
\(217\) | −1.68412 | − | 0.584864i | −0.114326 | − | 0.0397032i | ||||
\(218\) | 1.66825i | 0.112988i | ||||||||
\(219\) | −0.577729 | − | 4.19214i | −0.0390393 | − | 0.283279i | ||||
\(220\) | 2.32540 | + | 3.20064i | 0.156778 | + | 0.215787i | ||||
\(221\) | −7.91381 | + | 2.57135i | −0.532341 | + | 0.172968i | ||||
\(222\) | −4.12954 | + | 3.96654i | −0.277157 | + | 0.266217i | ||||
\(223\) | − | 14.7086i | − | 0.984960i | −0.870324 | − | 0.492480i | \(-0.836090\pi\) | ||
0.870324 | − | 0.492480i | \(-0.163910\pi\) | |||||||
\(224\) | 0.304526 | − | 0.0989466i | 0.0203470 | − | 0.00661115i | ||||
\(225\) | 2.81354 | + | 1.04114i | 0.187570 | + | 0.0694091i | ||||
\(226\) | 4.61113 | − | 14.1916i | 0.306728 | − | 0.944012i | ||||
\(227\) | 11.5699 | − | 15.9246i | 0.767920 | − | 1.05695i | −0.228594 | − | 0.973522i | \(-0.573413\pi\) |
0.996514 | − | 0.0834288i | \(-0.0265871\pi\) | |||||||
\(228\) | 5.59359 | + | 2.99340i | 0.370445 | + | 0.198243i | ||||
\(229\) | −1.77530 | + | 2.44349i | −0.117315 | + | 0.161471i | −0.863636 | − | 0.504116i | \(-0.831818\pi\) |
0.746321 | + | 0.665586i | \(0.231818\pi\) | |||||||
\(230\) | −0.892653 | + | 0.648550i | −0.0588598 | + | 0.0427641i | ||||
\(231\) | 0.956552 | + | 1.97462i | 0.0629365 | + | 0.129920i | ||||
\(232\) | 5.07948 | + | 6.99130i | 0.333484 | + | 0.459002i | ||||
\(233\) | −3.17238 | − | 4.36641i | −0.207830 | − | 0.286053i | 0.692359 | − | 0.721553i | \(-0.256571\pi\) |
−0.900189 | + | 0.435500i | \(0.856571\pi\) | |||||||
\(234\) | 5.19089 | + | 1.92086i | 0.339339 | + | 0.125571i | ||||
\(235\) | −1.51425 | + | 1.10017i | −0.0987787 | + | 0.0717669i | ||||
\(236\) | 6.79254 | − | 9.34913i | 0.442157 | − | 0.608577i | ||||
\(237\) | −2.91583 | + | 5.44865i | −0.189404 | + | 0.353928i | ||||
\(238\) | 0.848846 | − | 1.16834i | 0.0550225 | − | 0.0757320i | ||||
\(239\) | −8.10756 | + | 24.9525i | −0.524435 | + | 1.61404i | 0.240996 | + | 0.970526i | \(0.422526\pi\) |
−0.765431 | + | 0.643518i | \(0.777474\pi\) | |||||||
\(240\) | −1.55878 | + | 0.755111i | −0.100619 | + | 0.0487422i | ||||
\(241\) | 20.9168 | − | 6.79629i | 1.34737 | − | 0.437787i | 0.455564 | − | 0.890203i | \(-0.349438\pi\) |
0.891807 | + | 0.452416i | \(0.149438\pi\) | |||||||
\(242\) | − | 4.65157i | − | 0.299014i | ||||||
\(243\) | 12.0745 | − | 9.85936i | 0.774578 | − | 0.632478i | ||||
\(244\) | −0.807412 | + | 0.262344i | −0.0516893 | + | 0.0167949i | ||||
\(245\) | 4.05423 | + | 5.58017i | 0.259015 | + | 0.356504i | ||||
\(246\) | 9.28282 | − | 1.27929i | 0.591851 | − | 0.0815643i | ||||
\(247\) | − | 6.75777i | − | 0.429986i | ||||||
\(248\) | −4.56926 | + | 3.18149i | −0.290148 | + | 0.202025i | ||||
\(249\) | 9.12877 | − | 8.76845i | 0.578512 | − | 0.555678i | ||||
\(250\) | 0.809017 | + | 0.587785i | 0.0511667 | + | 0.0371748i | ||||
\(251\) | 3.47084 | − | 2.52172i | 0.219078 | − | 0.159169i | −0.472834 | − | 0.881152i | \(-0.656769\pi\) |
0.691911 | + | 0.721982i | \(0.256769\pi\) | |||||||
\(252\) | −0.924786 | + | 0.259829i | −0.0582561 | + | 0.0163677i | ||||
\(253\) | 4.36520 | 0.274438 | ||||||||
\(254\) | 15.7716 | 0.989598 | ||||||||
\(255\) | −3.68588 | + | 6.88759i | −0.230818 | + | 0.431317i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 11.4335 | + | 3.71498i | 0.713205 | + | 0.231734i | 0.643075 | − | 0.765803i | \(-0.277658\pi\) |
0.0701304 | + | 0.997538i | \(0.477658\pi\) | |||||||
\(258\) | −9.97792 | + | 1.37508i | −0.621198 | + | 0.0856088i | ||||
\(259\) | −1.00673 | + | 0.327106i | −0.0625551 | + | 0.0203254i | ||||
\(260\) | 1.49261 | + | 1.08444i | 0.0925676 | + | 0.0672543i | ||||
\(261\) | −14.3819 | − | 21.5702i | −0.890218 | − | 1.33516i | ||||
\(262\) | 4.26796 | − | 13.1354i | 0.263676 | − | 0.811510i | ||||
\(263\) | 6.38149 | − | 4.63642i | 0.393499 | − | 0.285894i | −0.373389 | − | 0.927675i | \(-0.621804\pi\) |
0.766888 | + | 0.641781i | \(0.221804\pi\) | |||||||
\(264\) | 6.74504 | + | 1.20796i | 0.415128 | + | 0.0743446i | ||||
\(265\) | 0.876502 | + | 0.284793i | 0.0538431 | + | 0.0174947i | ||||
\(266\) | 0.689370 | + | 0.948837i | 0.0422680 | + | 0.0581769i | ||||
\(267\) | 5.91331 | − | 0.814927i | 0.361889 | − | 0.0498727i | ||||
\(268\) | 0.159783 | + | 0.491760i | 0.00976027 | + | 0.0300390i | ||||
\(269\) | 21.0605 | + | 15.3014i | 1.28408 | + | 0.932942i | 0.999668 | − | 0.0257594i | \(-0.00820038\pi\) |
0.284416 | + | 0.958701i | \(0.408200\pi\) | |||||||
\(270\) | 4.76374 | − | 2.07528i | 0.289912 | − | 0.126298i | ||||
\(271\) | −30.9428 | − | 10.0539i | −1.87964 | − | 0.610732i | −0.987181 | − | 0.159605i | \(-0.948978\pi\) |
−0.892459 | − | 0.451128i | \(-0.851022\pi\) | |||||||
\(272\) | −1.39371 | − | 4.28941i | −0.0845064 | − | 0.260084i | ||||
\(273\) | 0.708812 | + | 0.737939i | 0.0428993 | + | 0.0446621i | ||||
\(274\) | − | 16.3582i | − | 0.988237i | ||||||
\(275\) | −1.22254 | − | 3.76258i | −0.0737216 | − | 0.226892i | ||||
\(276\) | −0.336897 | + | 1.88118i | −0.0202788 | + | 0.113234i | ||||
\(277\) | −6.34752 | + | 8.73662i | −0.381386 | + | 0.524932i | −0.955951 | − | 0.293526i | \(-0.905171\pi\) |
0.574565 | + | 0.818459i | \(0.305171\pi\) | |||||||
\(278\) | 12.0315 | 0.721600 | ||||||||
\(279\) | 14.0808 | − | 8.98502i | 0.842997 | − | 0.537919i | ||||
\(280\) | −0.320198 | −0.0191355 | ||||||||
\(281\) | −3.12621 | + | 4.30285i | −0.186494 | + | 0.256687i | −0.892019 | − | 0.451998i | \(-0.850711\pi\) |
0.705525 | + | 0.708685i | \(0.250711\pi\) | |||||||
\(282\) | −0.571494 | + | 3.19113i | −0.0340320 | + | 0.190029i | ||||
\(283\) | −0.337209 | − | 1.03782i | −0.0200450 | − | 0.0616922i | 0.940534 | − | 0.339701i | \(-0.110326\pi\) |
−0.960579 | + | 0.278008i | \(0.910326\pi\) | |||||||
\(284\) | − | 7.59790i | − | 0.450852i | ||||||
\(285\) | −4.39481 | − | 4.57541i | −0.260326 | − | 0.271024i | ||||
\(286\) | −2.25553 | − | 6.94182i | −0.133372 | − | 0.410478i | ||||
\(287\) | 1.64752 | + | 0.535310i | 0.0972497 | + | 0.0315984i | ||||
\(288\) | −1.04114 | + | 2.81354i | −0.0613496 | + | 0.165790i | ||||
\(289\) | −2.70333 | − | 1.96409i | −0.159020 | − | 0.115534i | ||||
\(290\) | −2.67044 | − | 8.21877i | −0.156814 | − | 0.482623i | ||||
\(291\) | 14.7110 | − | 2.02735i | 0.862372 | − | 0.118846i | ||||
\(292\) | −1.43608 | − | 1.97660i | −0.0840404 | − | 0.115672i | ||||
\(293\) | −27.1670 | − | 8.82708i | −1.58711 | − | 0.515684i | −0.623235 | − | 0.782035i | \(-0.714182\pi\) |
−0.963876 | + | 0.266351i | \(0.914182\pi\) | |||||||
\(294\) | 11.7597 | + | 2.10602i | 0.685839 | + | 0.122826i | ||||
\(295\) | −9.34913 | + | 6.79254i | −0.544328 | + | 0.395477i | ||||
\(296\) | −1.02157 | + | 3.14408i | −0.0593778 | + | 0.182746i | ||||
\(297\) | −20.0729 | − | 4.43538i | −1.16475 | − | 0.257367i | ||||
\(298\) | −3.44341 | − | 2.50178i | −0.199471 | − | 0.144924i | ||||
\(299\) | 1.93606 | − | 0.629064i | 0.111965 | − | 0.0363797i | ||||
\(300\) | 1.71583 | − | 0.236463i | 0.0990637 | − | 0.0136522i | ||||
\(301\) | −1.77088 | − | 0.575395i | −0.102072 | − | 0.0331652i | ||||
\(302\) | −1.79080 | + | 5.51151i | −0.103049 | + | 0.317151i | ||||
\(303\) | 11.6197 | − | 21.7131i | 0.667536 | − | 1.24739i | ||||
\(304\) | 3.66282 | 0.210077 | ||||||||
\(305\) | 0.848964 | 0.0486115 | ||||||||
\(306\) | 3.65982 | + | 13.0261i | 0.209218 | + | 0.744652i | ||||
\(307\) | −9.74157 | + | 7.07767i | −0.555981 | + | 0.403944i | −0.829986 | − | 0.557785i | \(-0.811652\pi\) |
0.274005 | + | 0.961728i | \(0.411652\pi\) | |||||||
\(308\) | 1.02484 | + | 0.744588i | 0.0583956 | + | 0.0424269i | ||||
\(309\) | −0.766067 | + | 0.735830i | −0.0435800 | + | 0.0418599i | ||||
\(310\) | 5.32876 | − | 1.61380i | 0.302653 | − | 0.0916578i | ||||
\(311\) | − | 33.9176i | − | 1.92329i | −0.274300 | − | 0.961644i | \(-0.588446\pi\) | ||
0.274300 | − | 0.961644i | \(-0.411554\pi\) | |||||||
\(312\) | 3.16565 | − | 0.436266i | 0.179220 | − | 0.0246987i | ||||
\(313\) | 0.0384703 | + | 0.0529498i | 0.00217447 | + | 0.00299290i | 0.810103 | − | 0.586288i | \(-0.199411\pi\) |
−0.807928 | + | 0.589281i | \(0.799411\pi\) | |||||||
\(314\) | 2.20781 | − | 0.717362i | 0.124594 | − | 0.0404831i | ||||
\(315\) | 0.959815 | + | 0.0386629i | 0.0540795 | + | 0.00217841i | ||||
\(316\) | 3.56791i | 0.200710i | ||||||||
\(317\) | −22.7178 | + | 7.38147i | −1.27596 | + | 0.414584i | −0.867155 | − | 0.498038i | \(-0.834054\pi\) |
−0.408804 | + | 0.912622i | \(0.634054\pi\) | |||||||
\(318\) | 1.43659 | − | 0.695917i | 0.0805599 | − | 0.0390251i | ||||
\(319\) | −10.5648 | + | 32.5152i | −0.591516 | + | 1.82050i | ||||
\(320\) | −0.587785 | + | 0.809017i | −0.0328582 | + | 0.0452254i | ||||
\(321\) | −15.7219 | + | 29.3786i | −0.877510 | + | 1.63975i | ||||
\(322\) | −0.207664 | + | 0.285826i | −0.0115727 | + | 0.0159284i | ||||
\(323\) | 13.3649 | − | 9.71014i | 0.743641 | − | 0.540287i | ||||
\(324\) | 3.46061 | − | 8.30808i | 0.192256 | − | 0.461560i | ||||
\(325\) | −1.08444 | − | 1.49261i | −0.0601540 | − | 0.0827949i | ||||
\(326\) | 10.4227 | + | 14.3457i | 0.577262 | + | 0.794533i | ||||
\(327\) | −1.25972 | − | 2.60044i | −0.0696624 | − | 0.143805i | ||||
\(328\) | 4.37686 | − | 3.17997i | 0.241671 | − | 0.175585i | ||||
\(329\) | −0.352271 | + | 0.484859i | −0.0194213 | + | 0.0267312i | ||||
\(330\) | −6.04163 | − | 3.23317i | −0.332581 | − | 0.177980i | ||||
\(331\) | 2.57352 | − | 3.54215i | 0.141454 | − | 0.194694i | −0.732412 | − | 0.680862i | \(-0.761606\pi\) |
0.873866 | + | 0.486168i | \(0.161606\pi\) | |||||||
\(332\) | 2.25829 | − | 6.95031i | 0.123940 | − | 0.381448i | ||||
\(333\) | 3.44188 | − | 9.30125i | 0.188614 | − | 0.509705i | ||||
\(334\) | 5.63011 | − | 1.82934i | 0.308066 | − | 0.100097i | ||||
\(335\) | − | 0.517067i | − | 0.0282504i | ||||||
\(336\) | −0.399975 | + | 0.384188i | −0.0218204 | + | 0.0209592i | ||||
\(337\) | −9.80535 | + | 3.18595i | −0.534131 | + | 0.173550i | −0.563649 | − | 0.826015i | \(-0.690603\pi\) |
0.0295176 | + | 0.999564i | \(0.490603\pi\) | |||||||
\(338\) | 5.64045 | + | 7.76342i | 0.306800 | + | 0.422274i | ||||
\(339\) | 3.52849 | + | 25.6036i | 0.191641 | + | 1.39060i | ||||
\(340\) | 4.51016i | 0.244598i | ||||||||
\(341\) | −20.8082 | − | 7.22630i | −1.12682 | − | 0.391326i | ||||
\(342\) | −10.9796 | − | 0.442274i | −0.593706 | − | 0.0239155i | ||||
\(343\) | 3.60008 | + | 2.61561i | 0.194386 | + | 0.141230i | ||||
\(344\) | −4.70460 | + | 3.41809i | −0.253655 | + | 0.184291i | ||||
\(345\) | 0.901725 | − | 1.68500i | 0.0485472 | − | 0.0907175i | ||||
\(346\) | 15.3609 | 0.825806 | ||||||||
\(347\) | −9.56534 | −0.513494 | −0.256747 | − | 0.966479i | \(-0.582651\pi\) | ||||
−0.256747 | + | 0.966479i | \(0.582651\pi\) | |||||||
\(348\) | −13.1970 | − | 7.06236i | −0.707435 | − | 0.378582i | ||||
\(349\) | 5.03182 | − | 15.4864i | 0.269347 | − | 0.828966i | −0.721313 | − | 0.692610i | \(-0.756461\pi\) |
0.990660 | − | 0.136356i | \(-0.0435391\pi\) | |||||||
\(350\) | 0.304526 | + | 0.0989466i | 0.0162776 | + | 0.00528892i | ||||
\(351\) | −9.54193 | + | 0.925494i | −0.509311 | + | 0.0493992i | ||||
\(352\) | 3.76258 | − | 1.22254i | 0.200546 | − | 0.0651613i | ||||
\(353\) | 18.8876 | + | 13.7226i | 1.00528 | + | 0.730382i | 0.963215 | − | 0.268733i | \(-0.0866049\pi\) |
0.0420695 | + | 0.999115i | \(0.486605\pi\) | |||||||
\(354\) | −3.52847 | + | 19.7024i | −0.187536 | + | 1.04717i | ||||
\(355\) | −2.34788 | + | 7.22603i | −0.124613 | + | 0.383518i | ||||
\(356\) | 2.78813 | − | 2.02570i | 0.147771 | − | 0.107362i | ||||
\(357\) | −0.440943 | + | 2.46216i | −0.0233372 | + | 0.130311i | ||||
\(358\) | −3.01061 | − | 0.978206i | −0.159116 | − | 0.0516998i | ||||
\(359\) | 0.989165 | + | 1.36147i | 0.0522061 | + | 0.0718556i | 0.834322 | − | 0.551278i | \(-0.185859\pi\) |
−0.782116 | + | 0.623133i | \(0.785859\pi\) | |||||||
\(360\) | 1.85961 | − | 2.35411i | 0.0980102 | − | 0.124073i | ||||
\(361\) | −1.72548 | − | 5.31047i | −0.0908146 | − | 0.279499i | ||||
\(362\) | 3.10532 | + | 2.25615i | 0.163212 | + | 0.118580i | ||||
\(363\) | 3.51246 | + | 7.25079i | 0.184356 | + | 0.380568i | ||||
\(364\) | 0.561840 | + | 0.182553i | 0.0294484 | + | 0.00956837i | ||||
\(365\) | 0.754993 | + | 2.32363i | 0.0395181 | + | 0.121624i | ||||
\(366\) | 1.06048 | − | 1.01862i | 0.0554323 | − | 0.0532443i | ||||
\(367\) | − | 1.45574i | − | 0.0759892i | −0.999278 | − | 0.0379946i | \(-0.987903\pi\) | ||
0.999278 | − | 0.0379946i | \(-0.0120970\pi\) | |||||||
\(368\) | 0.340963 | + | 1.04938i | 0.0177739 | + | 0.0547025i | ||||
\(369\) | −13.5039 | + | 9.00369i | −0.702985 | + | 0.468714i | ||||
\(370\) | 1.94315 | − | 2.67452i | 0.101020 | − | 0.139041i | ||||
\(371\) | 0.295097 | 0.0153207 | ||||||||
\(372\) | 4.72010 | − | 8.40956i | 0.244726 | − | 0.436015i | ||||
\(373\) | −22.0234 | −1.14033 | −0.570163 | − | 0.821531i | \(-0.693120\pi\) | ||||
−0.570163 | + | 0.821531i | \(0.693120\pi\) | |||||||
\(374\) | 10.4879 | − | 14.4354i | 0.542317 | − | 0.746436i | ||||
\(375\) | −1.70493 | − | 0.305332i | −0.0880420 | − | 0.0157673i | ||||
\(376\) | 0.578392 | + | 1.78011i | 0.0298283 | + | 0.0918020i | ||||
\(377\) | 15.9437i | 0.821141i | ||||||||
\(378\) | 1.24534 | − | 1.10333i | 0.0640535 | − | 0.0567493i | ||||
\(379\) | −3.38329 | − | 10.4127i | −0.173788 | − | 0.534864i | 0.825788 | − | 0.563980i | \(-0.190731\pi\) |
−0.999576 | + | 0.0291167i | \(0.990731\pi\) | |||||||
\(380\) | −3.48355 | − | 1.13187i | −0.178702 | − | 0.0580639i | ||||
\(381\) | −24.5845 | + | 11.9093i | −1.25950 | + | 0.610132i | ||||
\(382\) | 20.1451 | + | 14.6363i | 1.03071 | + | 0.748857i | ||||
\(383\) | 0.252313 | + | 0.776540i | 0.0128926 | + | 0.0396793i | 0.957296 | − | 0.289110i | \(-0.0933594\pi\) |
−0.944403 | + | 0.328789i | \(0.893359\pi\) | |||||||
\(384\) | 0.236463 | + | 1.71583i | 0.0120670 | + | 0.0875608i | ||||
\(385\) | −0.744588 | − | 1.02484i | −0.0379477 | − | 0.0522306i | ||||
\(386\) | −20.6668 | − | 6.71504i | −1.05191 | − | 0.341786i | ||||
\(387\) | 14.5151 | − | 9.67790i | 0.737843 | − | 0.491955i | ||||
\(388\) | 6.93624 | − | 5.03947i | 0.352134 | − | 0.255840i | ||||
\(389\) | −4.78596 | + | 14.7297i | −0.242658 | + | 0.746823i | 0.753355 | + | 0.657614i | \(0.228434\pi\) |
−0.996013 | + | 0.0892097i | \(0.971566\pi\) | |||||||
\(390\) | −3.14553 | − | 0.563326i | −0.159280 | − | 0.0285251i | ||||
\(391\) | 4.02600 | + | 2.92506i | 0.203604 | + | 0.147927i | ||||
\(392\) | 6.55989 | − | 2.13144i | 0.331324 | − | 0.107654i | ||||
\(393\) | 3.26589 | + | 23.6981i | 0.164742 | + | 1.19541i | ||||
\(394\) | −9.85498 | − | 3.20208i | −0.496487 | − | 0.161318i | ||||
\(395\) | 1.10254 | − | 3.39328i | 0.0554750 | − | 0.170734i | ||||
\(396\) | −11.4262 | + | 3.21031i | −0.574188 | + | 0.161324i | ||||
\(397\) | 19.0079 | 0.953979 | 0.476989 | − | 0.878909i | \(-0.341728\pi\) | ||||
0.476989 | + | 0.878909i | \(0.341728\pi\) | |||||||
\(398\) | −2.78558 | −0.139629 | ||||||||
\(399\) | −1.79106 | − | 0.958480i | −0.0896650 | − | 0.0479840i | ||||
\(400\) | 0.809017 | − | 0.587785i | 0.0404508 | − | 0.0293893i | ||||
\(401\) | −5.77489 | − | 4.19571i | −0.288384 | − | 0.209524i | 0.434182 | − | 0.900825i | \(-0.357038\pi\) |
−0.722566 | + | 0.691302i | \(0.757038\pi\) | |||||||
\(402\) | −0.620400 | − | 0.645894i | −0.0309428 | − | 0.0322143i | ||||
\(403\) | −10.2702 | − | 0.206378i | −0.511598 | − | 0.0102804i | ||||
\(404\) | − | 14.2183i | − | 0.707385i | ||||||
\(405\) | −5.85857 | + | 6.83207i | −0.291115 | + | 0.339488i | ||||
\(406\) | −1.62644 | − | 2.23860i | −0.0807188 | − | 0.111100i | ||||
\(407\) | −12.4386 | + | 4.04156i | −0.616560 | + | 0.200333i | ||||
\(408\) | 5.41148 | + | 5.63386i | 0.267908 | + | 0.278917i | ||||
\(409\) | 37.0809i | 1.83353i | 0.399424 | + | 0.916766i | \(0.369210\pi\) | ||||
−0.399424 | + | 0.916766i | \(0.630790\pi\) | |||||||
\(410\) | −5.14530 | + | 1.67181i | −0.254108 | + | 0.0825648i | ||||
\(411\) | 12.3523 | + | 25.4990i | 0.609294 | + | 1.25777i | ||||
\(412\) | −0.189511 | + | 0.583255i | −0.00933655 | + | 0.0287349i | ||||
\(413\) | −2.17496 | + | 2.99357i | −0.107023 | + | 0.147304i | ||||
\(414\) | −0.895351 | − | 3.18675i | −0.0440041 | − | 0.156620i | ||||
\(415\) | −4.29553 | + | 5.91229i | −0.210859 | + | 0.290223i | ||||
\(416\) | 1.49261 | − | 1.08444i | 0.0731811 | − | 0.0531692i | ||||
\(417\) | −18.7545 | + | 9.08510i | −0.918410 | + | 0.444899i | ||||
\(418\) | 8.51752 | + | 11.7234i | 0.416605 | + | 0.573408i | ||||
\(419\) | 13.6769 | + | 18.8246i | 0.668160 | + | 0.919643i | 0.999717 | − | 0.0237919i | \(-0.00757390\pi\) |
−0.331557 | + | 0.943435i | \(0.607574\pi\) | |||||||
\(420\) | 0.499119 | − | 0.241785i | 0.0243545 | − | 0.0117979i | ||||
\(421\) | 10.4339 | − | 7.58068i | 0.508517 | − | 0.369460i | −0.303743 | − | 0.952754i | \(-0.598237\pi\) |
0.812261 | + | 0.583294i | \(0.198237\pi\) | |||||||
\(422\) | −15.1569 | + | 20.8617i | −0.737827 | + | 1.01553i | ||||
\(423\) | −1.51883 | − | 5.40583i | −0.0738479 | − | 0.262841i | ||||
\(424\) | 0.541708 | − | 0.745597i | 0.0263077 | − | 0.0362094i | ||||
\(425\) | 1.39371 | − | 4.28941i | 0.0676051 | − | 0.208067i | ||||
\(426\) | 5.73726 | + | 11.8435i | 0.277971 | + | 0.573819i | ||||
\(427\) | 0.258532 | − | 0.0840021i | 0.0125112 | − | 0.00406514i | ||||
\(428\) | 19.2378i | 0.929895i | ||||||||
\(429\) | 8.75773 | + | 9.11761i | 0.422827 | + | 0.440202i | ||||
\(430\) | 5.53059 | − | 1.79700i | 0.266709 | − | 0.0866589i | ||||
\(431\) | −2.78641 | − | 3.83517i | −0.134217 | − | 0.184734i | 0.736618 | − | 0.676309i | \(-0.236421\pi\) |
−0.870835 | + | 0.491575i | \(0.836421\pi\) | |||||||
\(432\) | −0.501633 | − | 5.17188i | −0.0241348 | − | 0.248832i | ||||
\(433\) | − | 23.5276i | − | 1.13066i | −0.824864 | − | 0.565331i | \(-0.808748\pi\) | ||
0.824864 | − | 0.565331i | \(-0.191252\pi\) | |||||||
\(434\) | 1.46307 | − | 1.01871i | 0.0702294 | − | 0.0488995i | ||||
\(435\) | 10.3687 | + | 10.7948i | 0.497142 | + | 0.517571i | ||||
\(436\) | −1.34964 | − | 0.980573i | −0.0646362 | − | 0.0469609i | ||||
\(437\) | −3.26963 | + | 2.37552i | −0.156407 | + | 0.113637i | ||||
\(438\) | 3.73109 | + | 1.99669i | 0.178279 | + | 0.0954053i | ||||
\(439\) | 23.5350 | 1.12327 | 0.561633 | − | 0.827387i | \(-0.310173\pi\) | ||||
0.561633 | + | 0.827387i | \(0.310173\pi\) | |||||||
\(440\) | −3.95621 | −0.188605 | ||||||||
\(441\) | −19.9211 | + | 5.59704i | −0.948623 | + | 0.266526i | ||||
\(442\) | 2.57135 | − | 7.91381i | 0.122307 | − | 0.376422i | ||||
\(443\) | 21.5630 | + | 7.00623i | 1.02449 | + | 0.332876i | 0.772609 | − | 0.634883i | \(-0.218952\pi\) |
0.251879 | + | 0.967759i | \(0.418952\pi\) | |||||||
\(444\) | −0.781719 | − | 5.67234i | −0.0370987 | − | 0.269198i | ||||
\(445\) | −3.27764 | + | 1.06497i | −0.155375 | + | 0.0504845i | ||||
\(446\) | 11.8995 | + | 8.64549i | 0.563458 | + | 0.409376i | ||||
\(447\) | 7.25665 | + | 1.29958i | 0.343228 | + | 0.0614680i | ||||
\(448\) | −0.0989466 | + | 0.304526i | −0.00467479 | + | 0.0143875i | ||||
\(449\) | −6.57101 | + | 4.77412i | −0.310105 | + | 0.225305i | −0.731942 | − | 0.681367i | \(-0.761386\pi\) |
0.421836 | + | 0.906672i | \(0.361386\pi\) | |||||||
\(450\) | −2.49606 | + | 1.66424i | −0.117665 | + | 0.0784530i | ||||
\(451\) | 20.3559 | + | 6.61403i | 0.958521 | + | 0.311442i | ||||
\(452\) | 8.77090 | + | 12.0721i | 0.412548 | + | 0.567824i | ||||
\(453\) | −1.37034 | − | 9.94350i | −0.0643840 | − | 0.467186i | ||||
\(454\) | 6.08264 | + | 18.7205i | 0.285473 | + | 0.878594i | ||||
\(455\) | −0.477930 | − | 0.347236i | −0.0224057 | − | 0.0162787i | ||||
\(456\) | −5.70954 | + | 2.76584i | −0.267374 | + | 0.129522i | ||||
\(457\) | 13.5772 | + | 4.41149i | 0.635113 | + | 0.206361i | 0.608839 | − | 0.793294i | \(-0.291636\pi\) |
0.0262744 | + | 0.999655i | \(0.491636\pi\) | |||||||
\(458\) | −0.933332 | − | 2.87250i | −0.0436117 | − | 0.134223i | ||||
\(459\) | −15.5410 | − | 17.5413i | −0.725393 | − | 0.818758i | ||||
\(460\) | − | 1.10338i | − | 0.0514453i | ||||||
\(461\) | −7.70348 | − | 23.7089i | −0.358787 | − | 1.10423i | −0.953781 | − | 0.300503i | \(-0.902846\pi\) |
0.594994 | − | 0.803730i | \(-0.297154\pi\) | |||||||
\(462\) | −2.15975 | − | 0.386785i | −0.100481 | − | 0.0179949i | ||||
\(463\) | −9.46630 | + | 13.0292i | −0.439936 | + | 0.605520i | −0.970198 | − | 0.242314i | \(-0.922094\pi\) |
0.530262 | + | 0.847834i | \(0.322094\pi\) | |||||||
\(464\) | −8.64173 | −0.401182 | ||||||||
\(465\) | −7.08778 | + | 6.53937i | −0.328688 | + | 0.303256i | ||||
\(466\) | 5.39718 | 0.250019 | ||||||||
\(467\) | 3.90264 | − | 5.37152i | 0.180593 | − | 0.248564i | −0.709117 | − | 0.705090i | \(-0.750906\pi\) |
0.889710 | + | 0.456526i | \(0.150906\pi\) | |||||||
\(468\) | −4.60514 | + | 3.07046i | −0.212872 | + | 0.141932i | ||||
\(469\) | −0.0511621 | − | 0.157461i | −0.00236244 | − | 0.00727086i | ||||
\(470\) | − | 1.87171i | − | 0.0863358i | ||||||
\(471\) | −2.89981 | + | 2.78536i | −0.133616 | + | 0.128342i | ||||
\(472\) | 3.57105 | + | 10.9906i | 0.164371 | + | 0.505882i | ||||
\(473\) | −21.8801 | − | 7.10929i | −1.00605 | − | 0.326886i | ||||
\(474\) | −2.69417 | − | 5.56159i | −0.123747 | − | 0.255453i | ||||
\(475\) | 2.96328 | + | 2.15295i | 0.135965 | + | 0.0987841i | ||||
\(476\) | 0.446265 | + | 1.37346i | 0.0204545 | + | 0.0629525i | ||||
\(477\) | −1.71384 | + | 2.16957i | −0.0784712 | + | 0.0993378i | ||||
\(478\) | −15.4215 | − | 21.2259i | −0.705363 | − | 0.970849i | ||||
\(479\) | −16.3638 | − | 5.31692i | −0.747681 | − | 0.242936i | −0.0896979 | − | 0.995969i | \(-0.528590\pi\) |
−0.657983 | + | 0.753033i | \(0.728590\pi\) | |||||||
\(480\) | 0.305332 | − | 1.70493i | 0.0139364 | − | 0.0778189i | ||||
\(481\) | −4.93438 | + | 3.58504i | −0.224989 | + | 0.163464i | ||||
\(482\) | −6.79629 | + | 20.9168i | −0.309562 | + | 0.952735i | ||||
\(483\) | 0.107874 | − | 0.602350i | 0.00490843 | − | 0.0274079i | ||||
\(484\) | 3.76320 | + | 2.73413i | 0.171055 | + | 0.124278i | ||||
\(485\) | −8.15403 | + | 2.64941i | −0.370256 | + | 0.120303i | ||||
\(486\) | 0.879189 | + | 15.5636i | 0.0398808 | + | 0.705981i | ||||
\(487\) | 14.3107 | + | 4.64982i | 0.648478 | + | 0.210703i | 0.614743 | − | 0.788727i | \(-0.289260\pi\) |
0.0337353 | + | 0.999431i | \(0.489260\pi\) | |||||||
\(488\) | 0.262344 | − | 0.807412i | 0.0118758 | − | 0.0365498i | ||||
\(489\) | −27.0794 | − | 14.4915i | −1.22457 | − | 0.655327i | ||||
\(490\) | −6.89747 | −0.311596 | ||||||||
\(491\) | 13.0454 | 0.588729 | 0.294364 | − | 0.955693i | \(-0.404892\pi\) | ||||
0.294364 | + | 0.955693i | \(0.404892\pi\) | |||||||
\(492\) | −4.42134 | + | 8.26190i | −0.199329 | + | 0.372475i | ||||
\(493\) | −31.5319 | + | 22.9092i | −1.42012 | + | 1.03178i | ||||
\(494\) | 5.46715 | + | 3.97212i | 0.245979 | + | 0.178714i | ||||
\(495\) | 11.8590 | + | 0.477700i | 0.533023 | + | 0.0214710i | ||||
\(496\) | 0.111860 | − | 5.56664i | 0.00502267 | − | 0.249950i | ||||
\(497\) | 2.43283i | 0.109127i | ||||||||
\(498\) | 1.72807 | + | 12.5393i | 0.0774367 | + | 0.561899i | ||||
\(499\) | 16.7942 | + | 23.1152i | 0.751812 | + | 1.03478i | 0.997851 | + | 0.0655200i | \(0.0208706\pi\) |
−0.246040 | + | 0.969260i | \(0.579129\pi\) | |||||||
\(500\) | −0.951057 | + | 0.309017i | −0.0425325 | + | 0.0138197i | ||||
\(501\) | −7.39478 | + | 7.10290i | −0.330374 | + | 0.317334i | ||||
\(502\) | 4.29020i | 0.191481i | ||||||||
\(503\) | −24.0415 | + | 7.81155i | −1.07196 | + | 0.348300i | −0.791249 | − | 0.611494i | \(-0.790569\pi\) |
−0.280707 | + | 0.959793i | \(0.590569\pi\) | |||||||
\(504\) | 0.333370 | − | 0.900891i | 0.0148495 | − | 0.0401289i | ||||
\(505\) | −4.39369 | + | 13.5224i | −0.195516 | + | 0.601738i | ||||
\(506\) | −2.56580 | + | 3.53152i | −0.114064 | + | 0.156995i | ||||
\(507\) | −14.6545 | − | 7.84232i | −0.650829 | − | 0.348289i | ||||
\(508\) | −9.27031 | + | 12.7595i | −0.411303 | + | 0.566111i | ||||
\(509\) | 21.2280 | − | 15.4230i | 0.940914 | − | 0.683614i | −0.00772660 | − | 0.999970i | \(-0.502459\pi\) |
0.948640 | + | 0.316356i | \(0.102459\pi\) | |||||||
\(510\) | −3.40567 | − | 7.03036i | −0.150806 | − | 0.311309i | ||||
\(511\) | 0.459831 | + | 0.632902i | 0.0203417 | + | 0.0279980i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | 17.4487 | − | 7.60138i | 0.770379 | − | 0.335609i | ||||
\(514\) | −9.72596 | + | 7.06632i | −0.428994 | + | 0.311682i | ||||
\(515\) | 0.360472 | − | 0.496147i | 0.0158843 | − | 0.0218628i | ||||
\(516\) | 4.75241 | − | 8.88056i | 0.209213 | − | 0.390945i | ||||
\(517\) | −4.35249 | + | 5.99068i | −0.191422 | + | 0.263470i | ||||
\(518\) | 0.327106 | − | 1.00673i | 0.0143722 | − | 0.0442331i | ||||
\(519\) | −23.9443 | + | 11.5992i | −1.05104 | + | 0.509147i | ||||
\(520\) | −1.75466 | + | 0.570125i | −0.0769471 | + | 0.0250016i | ||||
\(521\) | 2.89339i | 0.126762i | 0.997989 | + | 0.0633808i | \(0.0201883\pi\) | ||||
−0.997989 | + | 0.0633808i | \(0.979812\pi\) | |||||||
\(522\) | 25.9042 | + | 1.04346i | 1.13379 | + | 0.0456711i | ||||
\(523\) | 5.70023 | − | 1.85212i | 0.249254 | − | 0.0809875i | −0.181725 | − | 0.983349i | \(-0.558168\pi\) |
0.430979 | + | 0.902362i | \(0.358168\pi\) | |||||||
\(524\) | 8.11815 | + | 11.1737i | 0.354643 | + | 0.488124i | ||||
\(525\) | −0.549406 | + | 0.0757150i | −0.0239781 | + | 0.00330447i | ||||
\(526\) | 7.88795i | 0.343931i | ||||||||
\(527\) | −14.3490 | − | 20.6081i | −0.625053 | − | 0.897701i | ||||
\(528\) | −4.94189 | + | 4.74683i | −0.215068 | + | 0.206579i | ||||
\(529\) | 17.6225 | + | 12.8035i | 0.766194 | + | 0.556672i | ||||
\(530\) | −0.745597 | + | 0.541708i | −0.0323867 | + | 0.0235303i | ||||
\(531\) | −9.37740 | − | 33.3762i | −0.406944 | − | 1.44840i | ||||
\(532\) | −1.17283 | −0.0508485 | ||||||||
\(533\) | 9.98142 | 0.432343 | ||||||||
\(534\) | −2.81647 | + | 5.26297i | −0.121880 | + | 0.227751i | ||||
\(535\) | 5.94481 | − | 18.2962i | 0.257017 | − | 0.791016i | ||||
\(536\) | −0.491760 | − | 0.159783i | −0.0212408 | − | 0.00690156i | ||||
\(537\) | 5.43154 | − | 0.748534i | 0.234388 | − | 0.0323016i | ||||
\(538\) | −24.7582 | + | 8.04441i | −1.06740 | + | 0.346819i | ||||
\(539\) | 22.0763 | + | 16.0394i | 0.950894 | + | 0.690865i | ||||
\(540\) | −1.12112 | + | 5.07377i | −0.0482453 | + | 0.218340i | ||||
\(541\) | 8.94743 | − | 27.5374i | 0.384680 | − | 1.18392i | −0.552032 | − | 0.833823i | \(-0.686147\pi\) |
0.936712 | − | 0.350101i | \(-0.113853\pi\) | |||||||
\(542\) | 26.3215 | − | 19.1237i | 1.13061 | − | 0.821433i | ||||
\(543\) | −6.54416 | − | 1.17198i | −0.280837 | − | 0.0502946i | ||||
\(544\) | 4.28941 | + | 1.39371i | 0.183907 | + | 0.0597550i | ||||
\(545\) | 0.980573 | + | 1.34964i | 0.0420031 | + | 0.0578124i | ||||
\(546\) | −1.01363 | + | 0.139691i | −0.0433796 | + | 0.00597824i | ||||
\(547\) | 3.04135 | + | 9.36030i | 0.130039 | + | 0.400218i | 0.994785 | − | 0.101990i | \(-0.0325211\pi\) |
−0.864747 | + | 0.502208i | \(0.832521\pi\) | |||||||
\(548\) | 13.2341 | + | 9.61513i | 0.565332 | + | 0.410738i | ||||
\(549\) | −0.883887 | + | 2.38860i | −0.0377234 | + | 0.101943i | ||||
\(550\) | 3.76258 | + | 1.22254i | 0.160437 | + | 0.0521291i | ||||
\(551\) | −9.78134 | − | 30.1039i | −0.416699 | − | 1.28247i | ||||
\(552\) | −1.32388 | − | 1.37829i | −0.0563482 | − | 0.0586637i | ||||
\(553\) | − | 1.14244i | − | 0.0485813i | ||||||
\(554\) | −3.33709 | − | 10.2705i | −0.141779 | − | 0.436352i | ||||
\(555\) | −1.00939 | + | 5.63629i | −0.0428463 | + | 0.239247i | ||||
\(556\) | −7.07192 | + | 9.73366i | −0.299916 | + | 0.412799i | ||||
\(557\) | 38.9217 | 1.64917 | 0.824583 | − | 0.565742i | \(-0.191410\pi\) | ||||
0.824583 | + | 0.565742i | \(0.191410\pi\) | |||||||
\(558\) | −1.00746 | + | 16.6729i | −0.0426493 | + | 0.705819i | ||||
\(559\) | −10.7288 | −0.453782 | ||||||||
\(560\) | 0.188208 | − | 0.259046i | 0.00795322 | − | 0.0109467i | ||||
\(561\) | −5.44807 | + | 30.4212i | −0.230018 | + | 1.28438i | ||||
\(562\) | −1.64354 | − | 5.05831i | −0.0693287 | − | 0.213372i | ||||
\(563\) | − | 2.83753i | − | 0.119588i | −0.998211 | − | 0.0597939i | \(-0.980956\pi\) | ||
0.998211 | − | 0.0597939i | \(-0.0190443\pi\) | |||||||
\(564\) | −2.24577 | − | 2.33805i | −0.0945638 | − | 0.0984497i | ||||
\(565\) | −4.61113 | − | 14.1916i | −0.193992 | − | 0.597046i | ||||
\(566\) | 1.03782 | + | 0.337209i | 0.0436230 | + | 0.0141740i | ||||
\(567\) | −1.10808 | + | 2.66023i | −0.0465350 | + | 0.111719i | ||||
\(568\) | 6.14683 | + | 4.46593i | 0.257915 | + | 0.187386i | ||||
\(569\) | 4.87430 | + | 15.0016i | 0.204341 | + | 0.628898i | 0.999740 | + | 0.0228111i | \(0.00726163\pi\) |
−0.795398 | + | 0.606087i | \(0.792738\pi\) | |||||||
\(570\) | 6.28479 | − | 0.866121i | 0.263241 | − | 0.0362778i | ||||
\(571\) | −7.83338 | − | 10.7817i | −0.327817 | − | 0.451201i | 0.613017 | − | 0.790070i | \(-0.289956\pi\) |
−0.940834 | + | 0.338869i | \(0.889956\pi\) | |||||||
\(572\) | 6.94182 | + | 2.25553i | 0.290252 | + | 0.0943086i | ||||
\(573\) | −42.4539 | − | 7.60298i | −1.77354 | − | 0.317619i | ||||
\(574\) | −1.40146 | + | 1.01822i | −0.0584958 | + | 0.0424997i | ||||
\(575\) | −0.340963 | + | 1.04938i | −0.0142191 | + | 0.0437620i | ||||
\(576\) | −1.66424 | − | 2.49606i | −0.0693434 | − | 0.104002i | ||||
\(577\) | −12.3943 | − | 9.00501i | −0.515983 | − | 0.374884i | 0.299106 | − | 0.954220i | \(-0.403312\pi\) |
−0.815089 | + | 0.579336i | \(0.803312\pi\) | |||||||
\(578\) | 3.17796 | − | 1.03258i | 0.132186 | − | 0.0429497i | ||||
\(579\) | 37.2856 | − | 5.13842i | 1.54954 | − | 0.213545i | ||||
\(580\) | 8.21877 | + | 2.67044i | 0.341266 | + | 0.110884i | ||||
\(581\) | −0.723101 | + | 2.22548i | −0.0299993 | + | 0.0923283i | ||||
\(582\) | −7.00673 | + | 13.0931i | −0.290438 | + | 0.542725i | ||||
\(583\) | 3.64607 | 0.151005 | ||||||||
\(584\) | 2.44321 | 0.101101 | ||||||||
\(585\) | 5.32857 | − | 1.49712i | 0.220309 | − | 0.0618982i | ||||
\(586\) | 23.1096 | − | 16.7901i | 0.954649 | − | 0.693593i | ||||
\(587\) | 3.23454 | + | 2.35003i | 0.133504 | + | 0.0969963i | 0.652533 | − | 0.757760i | \(-0.273706\pi\) |
−0.519029 | + | 0.854757i | \(0.673706\pi\) | |||||||
\(588\) | −8.61597 | + | 8.27589i | −0.355317 | + | 0.341292i | ||||
\(589\) | 19.5183 | − | 5.91106i | 0.804236 | − | 0.243561i | ||||
\(590\) | − | 11.5562i | − | 0.475760i | ||||||
\(591\) | 17.7797 | − | 2.45026i | 0.731359 | − | 0.100790i | ||||
\(592\) | −1.94315 | − | 2.67452i | −0.0798629 | − | 0.109922i | ||||
\(593\) | 37.3148 | − | 12.1243i | 1.53233 | − | 0.497885i | 0.583085 | − | 0.812411i | \(-0.301846\pi\) |
0.949249 | + | 0.314526i | \(0.101846\pi\) | |||||||
\(594\) | 15.3868 | − | 13.6322i | 0.631329 | − | 0.559338i | ||||
\(595\) | − | 1.44414i | − | 0.0592041i | ||||||
\(596\) | 4.04797 | − | 1.31526i | 0.165811 | − | 0.0538753i | ||||
\(597\) | 4.34212 | − | 2.10343i | 0.177711 | − | 0.0860875i | ||||
\(598\) | −0.629064 | + | 1.93606i | −0.0257244 | + | 0.0791714i | ||||
\(599\) | −16.9392 | + | 23.3148i | −0.692118 | + | 0.952619i | 0.307881 | + | 0.951425i | \(0.400380\pi\) |
−0.999999 | + | 0.00119400i | \(0.999620\pi\) | |||||||
\(600\) | −0.817239 | + | 1.52713i | −0.0333636 | + | 0.0623447i | ||||
\(601\) | −0.433825 | + | 0.597109i | −0.0176961 | + | 0.0243566i | −0.817773 | − | 0.575540i | \(-0.804792\pi\) |
0.800077 | + | 0.599897i | \(0.204792\pi\) | |||||||
\(602\) | 1.50640 | − | 1.09447i | 0.0613964 | − | 0.0446071i | ||||
\(603\) | 1.45479 | + | 0.538338i | 0.0592437 | + | 0.0219228i | ||||
\(604\) | −3.40630 | − | 4.68837i | −0.138600 | − | 0.190767i | ||||
\(605\) | −2.73413 | − | 3.76320i | −0.111158 | − | 0.152996i | ||||
\(606\) | 10.7364 | + | 22.1632i | 0.436135 | + | 0.900318i | ||||
\(607\) | −30.9224 | + | 22.4664i | −1.25510 | + | 0.911884i | −0.998506 | − | 0.0546359i | \(-0.982600\pi\) |
−0.256594 | + | 0.966519i | \(0.582600\pi\) | |||||||
\(608\) | −2.15295 | + | 2.96328i | −0.0873137 | + | 0.120177i | ||||
\(609\) | 4.22566 | + | 2.26135i | 0.171232 | + | 0.0916346i | ||||
\(610\) | −0.499008 | + | 0.686826i | −0.0202043 | + | 0.0278088i | ||||
\(611\) | −1.06711 | + | 3.28423i | −0.0431707 | + | 0.132866i | ||||
\(612\) | −12.6895 | − | 4.69569i | −0.512944 | − | 0.189812i | ||||
\(613\) | 28.8247 | − | 9.36571i | 1.16422 | − | 0.378277i | 0.337736 | − | 0.941241i | \(-0.390339\pi\) |
0.826482 | + | 0.562963i | \(0.190339\pi\) | |||||||
\(614\) | − | 12.0412i | − | 0.485945i | ||||||
\(615\) | 6.75801 | − | 6.49127i | 0.272509 | − | 0.261753i | ||||
\(616\) | −1.20477 | + | 0.391453i | −0.0485415 | + | 0.0157721i | ||||
\(617\) | 28.4933 | + | 39.2177i | 1.14710 | + | 1.57884i | 0.750527 | + | 0.660840i | \(0.229800\pi\) |
0.396570 | + | 0.918004i | \(0.370200\pi\) | |||||||
\(618\) | −0.145016 | − | 1.05227i | −0.00583340 | − | 0.0423286i | ||||
\(619\) | − | 39.0743i | − | 1.57053i | −0.619160 | − | 0.785265i | \(-0.712527\pi\) | ||
0.619160 | − | 0.785265i | \(-0.287473\pi\) | |||||||
\(620\) | −1.82657 | + | 5.25962i | −0.0733569 | + | 0.211232i | ||||
\(621\) | 3.80201 | + | 4.29136i | 0.152569 | + | 0.172206i | ||||
\(622\) | 27.4399 | + | 19.9362i | 1.10024 | + | 0.799370i | ||||
\(623\) | −0.892754 | + | 0.648624i | −0.0357674 | + | 0.0259866i | ||||
\(624\) | −1.50778 | + | 2.81750i | −0.0603594 | + | 0.112790i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −0.0654495 | −0.00261589 | ||||||||
\(627\) | −22.1294 | − | 11.8425i | −0.883763 | − | 0.472944i | ||||
\(628\) | −0.717362 | + | 2.20781i | −0.0286259 | + | 0.0881013i | ||||
\(629\) | −14.1803 | − | 4.60746i | −0.565405 | − | 0.183711i | ||||
\(630\) | −0.595444 | + | 0.753781i | −0.0237231 | + | 0.0300314i | ||||
\(631\) | 0.446512 | − | 0.145081i | 0.0177754 | − | 0.00577557i | −0.300116 | − | 0.953903i | \(-0.597025\pi\) |
0.317891 | + | 0.948127i | \(0.397025\pi\) | |||||||
\(632\) | −2.88650 | − | 2.09716i | −0.114819 | − | 0.0834207i | ||||
\(633\) | 7.87344 | − | 43.9640i | 0.312941 | − | 1.74741i | ||||
\(634\) | 7.38147 | − | 22.7178i | 0.293155 | − | 0.902240i | ||||
\(635\) | 12.7595 | − | 9.27031i | 0.506345 | − | 0.367881i | ||||
\(636\) | −0.281397 | + | 1.57127i | −0.0111581 | + | 0.0623051i | ||||
\(637\) | 12.1028 | + | 3.93242i | 0.479529 | + | 0.155808i | ||||
\(638\) | −20.0955 | − | 27.6590i | −0.795587 | − | 1.09503i | ||||
\(639\) | −17.8863 | − | 14.1292i | −0.707571 | − | 0.558941i | ||||
\(640\) | −0.309017 | − | 0.951057i | −0.0122150 | − | 0.0375938i | ||||
\(641\) | 8.29761 | + | 6.02857i | 0.327736 | + | 0.238114i | 0.739469 | − | 0.673190i | \(-0.235076\pi\) |
−0.411733 | + | 0.911304i | \(0.635076\pi\) | |||||||
\(642\) | −14.5267 | − | 29.9876i | −0.573323 | − | 1.18352i | ||||
\(643\) | 39.1464 | + | 12.7194i | 1.54378 | + | 0.501606i | 0.952417 | − | 0.304797i | \(-0.0985886\pi\) |
0.591367 | + | 0.806403i | \(0.298589\pi\) | |||||||
\(644\) | −0.109176 | − | 0.336008i | −0.00430212 | − | 0.0132406i | ||||
\(645\) | −7.26406 | + | 6.97734i | −0.286022 | + | 0.274732i | ||||
\(646\) | 16.5199i | 0.649966i | ||||||||
\(647\) | 10.6853 | + | 32.8859i | 0.420081 | + | 1.29288i | 0.907626 | + | 0.419779i | \(0.137893\pi\) |
−0.487545 | + | 0.873098i | \(0.662107\pi\) | |||||||
\(648\) | 4.68728 | + | 7.68306i | 0.184134 | + | 0.301819i | ||||
\(649\) | −26.8727 | + | 36.9871i | −1.05485 | + | 1.45187i | ||||
\(650\) | 1.84496 | 0.0723654 | ||||||||
\(651\) | −1.51137 | + | 2.69272i | −0.0592351 | + | 0.105536i | ||||
\(652\) | −17.7322 | −0.694448 | ||||||||
\(653\) | 18.6748 | − | 25.7036i | 0.730800 | − | 1.00586i | −0.268295 | − | 0.963337i | \(-0.586460\pi\) |
0.999095 | − | 0.0425234i | \(-0.0135397\pi\) | |||||||
\(654\) | 2.84424 | + | 0.509370i | 0.111219 | + | 0.0199180i | ||||
\(655\) | −4.26796 | − | 13.1354i | −0.166763 | − | 0.513244i | ||||
\(656\) | 5.41009i | 0.211229i | ||||||||
\(657\) | −7.32369 | − | 0.295010i | −0.285724 | − | 0.0115094i | ||||
\(658\) | −0.185200 | − | 0.569986i | −0.00721984 | − | 0.0222204i | ||||
\(659\) | −42.9622 | − | 13.9593i | −1.67357 | − | 0.543776i | −0.689924 | − | 0.723882i | \(-0.742356\pi\) |
−0.983647 | + | 0.180105i | \(0.942356\pi\) | |||||||
\(660\) | 6.16687 | − | 2.98738i | 0.240045 | − | 0.116284i | ||||
\(661\) | −22.1115 | − | 16.0650i | −0.860039 | − | 0.624855i | 0.0678564 | − | 0.997695i | \(-0.478384\pi\) |
−0.927896 | + | 0.372840i | \(0.878384\pi\) | |||||||
\(662\) | 1.35298 | + | 4.16405i | 0.0525851 | + | 0.161840i | ||||
\(663\) | 1.96763 | + | 14.2776i | 0.0764163 | + | 0.554495i | ||||
\(664\) | 4.29553 | + | 5.91229i | 0.166699 | + | 0.229441i | ||||
\(665\) | 1.11542 | + | 0.362423i | 0.0432543 | + | 0.0140542i | ||||
\(666\) | 5.50178 | + | 8.25167i | 0.213190 | + | 0.319746i | ||||
\(667\) | 7.71406 | − | 5.60459i | 0.298690 | − | 0.217011i | ||||
\(668\) | −1.82934 | + | 5.63011i | −0.0707791 | + | 0.217836i | ||||
\(669\) | −25.0771 | − | 4.49100i | −0.969535 | − | 0.173632i | ||||
\(670\) | 0.418316 | + | 0.303925i | 0.0161610 | + | 0.0117416i | ||||
\(671\) | 3.19429 | − | 1.03789i | 0.123314 | − | 0.0400672i | ||||
\(672\) | −0.0757150 | − | 0.549406i | −0.00292077 | − | 0.0211938i | ||||
\(673\) | 43.0944 | + | 14.0022i | 1.66117 | + | 0.539746i | 0.981117 | − | 0.193417i | \(-0.0619572\pi\) |
0.680052 | + | 0.733164i | \(0.261957\pi\) | |||||||
\(674\) | 3.18595 | − | 9.80535i | 0.122718 | − | 0.377688i | ||||
\(675\) | 2.63413 | − | 4.47899i | 0.101388 | − | 0.172397i | ||||
\(676\) | −9.59611 | −0.369081 | ||||||||
\(677\) | 32.1320 | 1.23493 | 0.617467 | − | 0.786597i | \(-0.288159\pi\) | ||||
0.617467 | + | 0.786597i | \(0.288159\pi\) | |||||||
\(678\) | −22.7877 | − | 12.1948i | −0.875157 | − | 0.468338i | ||||
\(679\) | −2.22097 | + | 1.61363i | −0.0852329 | + | 0.0619254i | ||||
\(680\) | −3.64879 | − | 2.65100i | −0.139925 | − | 0.101661i | ||||
\(681\) | −23.6176 | − | 24.5881i | −0.905027 | − | 0.942217i | ||||
\(682\) | 18.0769 | − | 12.5866i | 0.692201 | − | 0.481967i | ||||
\(683\) | 8.90535i | 0.340754i | 0.985379 | + | 0.170377i | \(0.0544985\pi\) | ||||
−0.985379 | + | 0.170377i | \(0.945501\pi\) | |||||||
\(684\) | 6.81143 | − | 8.62268i | 0.260441 | − | 0.329696i | ||||
\(685\) | −9.61513 | − | 13.2341i | −0.367375 | − | 0.505649i | ||||
\(686\) | −4.23215 | + | 1.37511i | −0.161584 | + | 0.0525019i | ||||
\(687\) | 3.62392 | + | 3.77284i | 0.138261 | + | 0.143943i | ||||
\(688\) | − | 5.81520i | − | 0.221703i | ||||||
\(689\) | 1.61711 | − | 0.525432i | 0.0616072 | − | 0.0200174i | ||||
\(690\) | 0.833175 | + | 1.71993i | 0.0317184 | + | 0.0654766i | ||||
\(691\) | 0.500396 | − | 1.54006i | 0.0190360 | − | 0.0585867i | −0.941087 | − | 0.338164i | \(-0.890194\pi\) |
0.960123 | + | 0.279577i | \(0.0901942\pi\) | |||||||
\(692\) | −9.02889 | + | 12.4272i | −0.343227 | + | 0.472412i | ||||
\(693\) | 3.65865 | − | 1.02794i | 0.138980 | − | 0.0390480i | ||||
\(694\) | 5.62237 | − | 7.73852i | 0.213422 | − | 0.293750i | ||||
\(695\) | 9.73366 | − | 7.07192i | 0.369219 | − | 0.268253i | ||||
\(696\) | 13.4706 | − | 6.52547i | 0.510601 | − | 0.247347i | ||||
\(697\) | 14.3422 | + | 19.7403i | 0.543248 | + | 0.747717i | ||||
\(698\) | 9.57109 | + | 13.1735i | 0.362271 | + | 0.498624i | ||||
\(699\) | −8.41303 | + | 4.07547i | −0.318210 | + | 0.154149i | ||||
\(700\) | −0.259046 | + | 0.188208i | −0.00979100 | + | 0.00711358i | ||||
\(701\) | −21.1800 | + | 29.1518i | −0.799957 | + | 1.10105i | 0.192839 | + | 0.981230i | \(0.438230\pi\) |
−0.992796 | + | 0.119816i | \(0.961770\pi\) | |||||||
\(702\) | 4.85987 | − | 8.26358i | 0.183424 | − | 0.311889i | ||||
\(703\) | 7.11740 | − | 9.79626i | 0.268438 | − | 0.369473i | ||||
\(704\) | −1.22254 | + | 3.76258i | −0.0460760 | + | 0.141807i | ||||
\(705\) | 1.41335 | + | 2.91760i | 0.0532300 | + | 0.109883i | ||||
\(706\) | −22.2037 | + | 7.21441i | −0.835646 | + | 0.271518i | ||||
\(707\) | 4.55266i | 0.171220i | ||||||||
\(708\) | −13.8656 | − | 14.4354i | −0.521101 | − | 0.542515i | ||||
\(709\) | −1.54319 | + | 0.501412i | −0.0579557 | + | 0.0188309i | −0.337851 | − | 0.941199i | \(-0.609700\pi\) |
0.279896 | + | 0.960030i | \(0.409700\pi\) | |||||||
\(710\) | −4.46593 | − | 6.14683i | −0.167603 | − | 0.230686i | ||||
\(711\) | 8.39925 | + | 6.63493i | 0.314996 | + | 0.248829i | ||||
\(712\) | 3.44632i | 0.129156i | ||||||||
\(713\) | 3.51039 | + | 5.04162i | 0.131465 | + | 0.188810i | ||||
\(714\) | −1.73275 | − | 1.80395i | −0.0648464 | − | 0.0675111i | ||||
\(715\) | −5.90506 | − | 4.29028i | −0.220837 | − | 0.160447i | ||||
\(716\) | 2.56098 | − | 1.86066i | 0.0957082 | − | 0.0695361i | ||||
\(717\) | 40.0667 | + | 21.4416i | 1.49632 | + | 0.800751i | ||||
\(718\) | −1.68287 | −0.0628041 | ||||||||
\(719\) | 12.1477 | 0.453033 | 0.226516 | − | 0.974007i | \(-0.427266\pi\) | ||||
0.226516 | + | 0.974007i | \(0.427266\pi\) | |||||||
\(720\) | 0.811463 | + | 2.88817i | 0.0302414 | + | 0.107636i | ||||
\(721\) | 0.0606811 | − | 0.186757i | 0.00225988 | − | 0.00695520i | ||||
\(722\) | 5.31047 | + | 1.72548i | 0.197635 | + | 0.0642156i | ||||
\(723\) | −5.20059 | − | 37.7367i | −0.193412 | − | 1.40344i | ||||
\(724\) | −3.65052 | + | 1.18613i | −0.135671 | + | 0.0440821i | ||||
\(725\) | −6.99130 | − | 5.07948i | −0.259650 | − | 0.188647i | ||||
\(726\) | −7.93059 | − | 1.42027i | −0.294332 | − | 0.0527113i | ||||
\(727\) | 9.79813 | − | 30.1555i | 0.363392 | − | 1.11841i | −0.587589 | − | 0.809160i | \(-0.699923\pi\) |
0.950982 | − | 0.309248i | \(-0.100077\pi\) | |||||||
\(728\) | −0.477930 | + | 0.347236i | −0.0177133 | + | 0.0128694i | ||||
\(729\) | −13.1228 | − | 23.5965i | −0.486028 | − | 0.873943i | ||||
\(730\) | −2.32363 | − | 0.754993i | −0.0860014 | − | 0.0279435i | ||||
\(731\) | −15.4161 | − | 21.2185i | −0.570186 | − | 0.784794i | ||||
\(732\) | 0.200749 | + | 1.45668i | 0.00741988 | + | 0.0538405i | ||||
\(733\) | 5.99054 | + | 18.4370i | 0.221266 | + | 0.680985i | 0.998649 | + | 0.0519587i | \(0.0165464\pi\) |
−0.777384 | + | 0.629027i | \(0.783454\pi\) | |||||||
\(734\) | 1.17772 | + | 0.855665i | 0.0434705 | + | 0.0315832i | ||||
\(735\) | 10.7517 | − | 5.20836i | 0.396581 | − | 0.192113i | ||||
\(736\) | −1.04938 | − | 0.340963i | −0.0386805 | − | 0.0125681i | ||||
\(737\) | −0.632133 | − | 1.94551i | −0.0232849 | − | 0.0716636i | ||||
\(738\) | 0.653252 | − | 16.2171i | 0.0240465 | − | 0.596960i | ||||
\(739\) | − | 48.0845i | − | 1.76882i | −0.466713 | − | 0.884409i | \(-0.654562\pi\) | ||
0.466713 | − | 0.884409i | \(-0.345438\pi\) | |||||||
\(740\) | 1.02157 | + | 3.14408i | 0.0375538 | + | 0.115579i | ||||
\(741\) | −11.5215 | − | 2.06336i | −0.423253 | − | 0.0757995i | ||||
\(742\) | −0.173454 | + | 0.238739i | −0.00636769 | + | 0.00876437i | ||||
\(743\) | −12.7128 | −0.466386 | −0.233193 | − | 0.972431i | \(-0.574917\pi\) | ||||
−0.233193 | + | 0.972431i | \(0.574917\pi\) | |||||||
\(744\) | 4.02907 | + | 8.76166i | 0.147713 | + | 0.321218i | ||||
\(745\) | −4.25628 | −0.155938 | ||||||||
\(746\) | 12.9450 | − | 17.8173i | 0.473951 | − | 0.652337i | ||||
\(747\) | −12.1623 | − | 18.2412i | −0.444994 | − | 0.667409i | ||||
\(748\) | 5.51382 | + | 16.9698i | 0.201605 | + | 0.620477i | ||||
\(749\) | − | 6.15991i | − | 0.225078i | ||||||
\(750\) | 1.24915 | − | 1.19984i | 0.0456125 | − | 0.0438121i | ||||
\(751\) | 7.52405 | + | 23.1567i | 0.274557 | + | 0.844998i | 0.989336 | + | 0.145649i | \(0.0465269\pi\) |
−0.714780 | + | 0.699350i | \(0.753473\pi\) | |||||||
\(752\) | −1.78011 | − | 0.578392i | −0.0649138 | − | 0.0210918i | ||||
\(753\) | −3.23958 | − | 6.68749i | −0.118057 | − | 0.243706i | ||||
\(754\) | −12.8987 | − | 9.37145i | −0.469743 | − | 0.341288i | ||||
\(755\) | 1.79080 | + | 5.51151i | 0.0651738 | + | 0.200584i | ||||
\(756\) | 0.160622 | + | 1.65603i | 0.00584176 | + | 0.0602291i | ||||
\(757\) | −14.3270 | − | 19.7195i | −0.520725 | − | 0.716717i | 0.464956 | − | 0.885334i | \(-0.346070\pi\) |
−0.985682 | + | 0.168617i | \(0.946070\pi\) | |||||||
\(758\) | 10.4127 | + | 3.38329i | 0.378206 | + | 0.122886i | ||||
\(759\) | 1.33283 | − | 7.44234i | 0.0483788 | − | 0.270140i | ||||
\(760\) | 2.96328 | − | 2.15295i | 0.107490 | − | 0.0780957i | ||||
\(761\) | 5.83388 | − | 17.9548i | 0.211478 | − | 0.650862i | −0.787907 | − | 0.615794i | \(-0.788835\pi\) |
0.999385 | − | 0.0350680i | \(-0.0111648\pi\) | |||||||
\(762\) | 4.81557 | − | 26.8894i | 0.174450 | − | 0.974100i | ||||
\(763\) | 0.432153 | + | 0.313978i | 0.0156450 | + | 0.0113667i | ||||
\(764\) | −23.6820 | + | 7.69474i | −0.856784 | + | 0.278386i | ||||
\(765\) | 10.6174 | + | 8.38715i | 0.383873 | + | 0.303238i | ||||
\(766\) | −0.776540 | − | 0.252313i | −0.0280575 | − | 0.00911644i | ||||
\(767\) | −6.58846 | + | 20.2772i | −0.237895 | + | 0.732167i | ||||
\(768\) | −1.52713 | − | 0.817239i | −0.0551055 | − | 0.0294896i | ||||
\(769\) | −39.7505 | −1.43344 | −0.716719 | − | 0.697362i | \(-0.754357\pi\) | ||||
−0.716719 | + | 0.697362i | \(0.754357\pi\) | |||||||
\(770\) | 1.26677 | 0.0456512 | ||||||||
\(771\) | 9.82480 | − | 18.3590i | 0.353832 | − | 0.661185i | ||||
\(772\) | 17.5802 | − | 12.7728i | 0.632725 | − | 0.459702i | ||||
\(773\) | 23.6036 | + | 17.1490i | 0.848963 | + | 0.616808i | 0.924860 | − | 0.380308i | \(-0.124182\pi\) |
−0.0758966 | + | 0.997116i | \(0.524182\pi\) | |||||||
\(774\) | −0.702168 | + | 17.4315i | −0.0252389 | + | 0.626561i | ||||
\(775\) | 3.36249 | − | 4.43776i | 0.120784 | − | 0.159409i | ||||
\(776\) | 8.57366i | 0.307776i | ||||||||
\(777\) | 0.250305 | + | 1.81627i | 0.00897964 | + | 0.0651584i | ||||
\(778\) | −9.10343 | − | 12.5298i | −0.326374 | − | 0.449215i | ||||
\(779\) | −18.8463 | + | 6.12354i | −0.675239 | + | 0.219398i | ||||
\(780\) | 2.30463 | − | 2.21367i | 0.0825192 | − | 0.0792621i | ||||
\(781\) | 30.0589i | 1.07559i | ||||||||
\(782\) | −4.73285 | + | 1.53780i | −0.169246 | + | 0.0549915i | ||||
\(783\) | −41.1669 | + | 17.9340i | −1.47119 | + | 0.640909i | ||||
\(784\) | −2.13144 | + | 6.55989i | −0.0761227 | + | 0.234282i | ||||
\(785\) | 1.36450 | − | 1.87808i | 0.0487012 | − | 0.0670315i | ||||
\(786\) | −21.0918 | − | 11.2872i | −0.752320 | − | 0.402602i | ||||
\(787\) | 26.3255 | − | 36.2339i | 0.938401 | − | 1.29160i | −0.0180899 | − | 0.999836i | \(-0.505759\pi\) |
0.956491 | − | 0.291762i | \(-0.0942415\pi\) | |||||||
\(788\) | 8.38315 | − | 6.09071i | 0.298637 | − | 0.216973i | ||||
\(789\) | −5.95628 | − | 12.2956i | −0.212049 | − | 0.437735i | ||||
\(790\) | 2.09716 | + | 2.88650i | 0.0746137 | + | 0.102697i | ||||
\(791\) | −2.80842 | − | 3.86546i | −0.0998561 | − | 0.137440i | ||||
\(792\) | 4.11895 | − | 11.1310i | 0.146361 | − | 0.395522i | ||||
\(793\) | 1.26717 | − | 0.920652i | 0.0449985 | − | 0.0326933i | ||||
\(794\) | −11.1726 | + | 15.3777i | −0.396499 | + | 0.545734i | ||||
\(795\) | 0.753175 | − | 1.40741i | 0.0267124 | − | 0.0499159i | ||||
\(796\) | 1.63733 | − | 2.25359i | 0.0580335 | − | 0.0798762i | ||||
\(797\) | 8.07205 | − | 24.8432i | 0.285927 | − | 0.879992i | −0.700193 | − | 0.713954i | \(-0.746903\pi\) |
0.986119 | − | 0.166038i | \(-0.0530974\pi\) | |||||||
\(798\) | 1.82818 | − | 0.885615i | 0.0647170 | − | 0.0313504i | ||||
\(799\) | −8.02856 | + | 2.60864i | −0.284030 | + | 0.0922869i | ||||
\(800\) | 1.00000i | 0.0353553i | ||||||||
\(801\) | 0.416133 | − | 10.3306i | 0.0147033 | − | 0.365013i | ||||
\(802\) | 6.78880 | − | 2.20581i | 0.239721 | − | 0.0778900i | ||||
\(803\) | 5.68144 | + | 7.81983i | 0.200494 | + | 0.275956i | ||||
\(804\) | 0.887202 | − | 0.122267i | 0.0312892 | − | 0.00431204i | ||||
\(805\) | 0.353300i | 0.0124522i | ||||||||
\(806\) | 6.20366 | − | 8.18750i | 0.218515 | − | 0.288392i | ||||
\(807\) | 32.5182 | − | 31.2347i | 1.14469 | − | 1.09951i | ||||
\(808\) | 11.5028 | + | 8.35729i | 0.404668 | + | 0.294008i | ||||
\(809\) | 4.81718 | − | 3.49989i | 0.169363 | − | 0.123050i | −0.499875 | − | 0.866098i | \(-0.666621\pi\) |
0.669238 | + | 0.743048i | \(0.266621\pi\) | |||||||
\(810\) | −2.08368 | − | 8.75547i | −0.0732130 | − | 0.307636i | ||||
\(811\) | 27.5673 | 0.968018 | 0.484009 | − | 0.875063i | \(-0.339180\pi\) | ||||
0.484009 | + | 0.875063i | \(0.339180\pi\) | |||||||
\(812\) | 2.76706 | 0.0971049 | ||||||||
\(813\) | −26.5890 | + | 49.6854i | −0.932517 | + | 1.74254i | ||||
\(814\) | 4.04156 | − | 12.4386i | 0.141657 | − | 0.435974i | ||||
\(815\) | 16.8644 | + | 5.47956i | 0.590732 | + | 0.191941i | ||||
\(816\) | −7.73868 | + | 1.06649i | −0.270908 | + | 0.0373344i | ||||
\(817\) | 20.2575 | − | 6.58207i | 0.708722 | − | 0.230278i | ||||
\(818\) | −29.9991 | − | 21.7956i | −1.04889 | − | 0.762066i | ||||
\(819\) | 1.47455 | − | 0.983156i | 0.0515251 | − | 0.0343542i | ||||
\(820\) | 1.67181 | − | 5.14530i | 0.0583821 | − | 0.179682i | ||||
\(821\) | 13.7668 | − | 10.0021i | 0.480464 | − | 0.349077i | −0.321041 | − | 0.947065i | \(-0.604033\pi\) |
0.801505 | + | 0.597988i | \(0.204033\pi\) | |||||||
\(822\) | −27.8896 | − | 4.99469i | −0.972761 | − | 0.174210i | ||||
\(823\) | 1.55932 | + | 0.506654i | 0.0543545 | + | 0.0176609i | 0.336068 | − | 0.941838i | \(-0.390903\pi\) |
−0.281714 | + | 0.959499i | \(0.590903\pi\) | |||||||
\(824\) | −0.360472 | − | 0.496147i | −0.0125576 | − | 0.0172841i | ||||
\(825\) | −6.78819 | + | 0.935497i | −0.236335 | + | 0.0325698i | ||||
\(826\) | −1.14344 | − | 3.51916i | −0.0397855 | − | 0.122447i | ||||
\(827\) | −6.46319 | − | 4.69578i | −0.224747 | − | 0.163288i | 0.469714 | − | 0.882819i | \(-0.344357\pi\) |
−0.694461 | + | 0.719530i | \(0.744357\pi\) | |||||||
\(828\) | 3.10441 | + | 1.14877i | 0.107886 | + | 0.0399225i | ||||
\(829\) | −6.37547 | − | 2.07151i | −0.221429 | − | 0.0719467i | 0.196201 | − | 0.980564i | \(-0.437139\pi\) |
−0.417631 | + | 0.908617i | \(0.637139\pi\) | |||||||
\(830\) | −2.25829 | − | 6.95031i | −0.0783865 | − | 0.241249i | ||||
\(831\) | 12.9572 | + | 13.4896i | 0.449480 | + | 0.467950i | ||||
\(832\) | 1.84496i | 0.0639626i | ||||||||
\(833\) | 9.61311 | + | 29.5861i | 0.333075 | + | 1.02510i | ||||
\(834\) | 3.67359 | − | 20.5128i | 0.127206 | − | 0.710299i | ||||
\(835\) | 3.47960 | − | 4.78926i | 0.120417 | − | 0.165739i | ||||
\(836\) | −14.4909 | −0.501177 | ||||||||
\(837\) | −11.0195 | − | 26.7502i | −0.380889 | − | 0.924621i | ||||
\(838\) | −23.2685 | −0.803798 | ||||||||
\(839\) | 14.3590 | − | 19.7635i | 0.495728 | − | 0.682311i | −0.485703 | − | 0.874124i | \(-0.661436\pi\) |
0.981432 | + | 0.191812i | \(0.0614365\pi\) | |||||||
\(840\) | −0.0977667 | + | 0.545914i | −0.00337327 | + | 0.0188358i | ||||
\(841\) | 14.1157 | + | 43.4437i | 0.486749 | + | 1.49806i | ||||
\(842\) | 12.8970i | 0.444461i | ||||||||
\(843\) | 6.38151 | + | 6.64375i | 0.219791 | + | 0.228823i | ||||
\(844\) | −7.96846 | − | 24.5244i | −0.274286 | − | 0.844165i | ||||
\(845\) | 9.12644 | + | 2.96536i | 0.313959 | + | 0.102012i | ||||
\(846\) | 5.26615 | + | 1.94871i | 0.181054 | + | 0.0669981i | ||||
\(847\) | −1.20497 | − | 0.875461i | −0.0414032 | − | 0.0300812i | ||||
\(848\) | 0.284793 | + | 0.876502i | 0.00977982 | + | 0.0300992i | ||||
\(849\) | −1.87237 | + | 0.258036i | −0.0642597 | + | 0.00885578i | ||||
\(850\) | 2.65100 | + | 3.64879i | 0.0909287 | + | 0.125153i | ||||
\(851\) | 3.46912 | + | 1.12718i | 0.118920 | + | 0.0386394i | ||||
\(852\) | −12.9539 | − | 2.31988i | −0.443792 | − | 0.0794778i | ||||
\(853\) | 35.0470 | − | 25.4631i | 1.19999 | − | 0.871841i | 0.205702 | − | 0.978615i | \(-0.434052\pi\) |
0.994283 | + | 0.106774i | \(0.0340521\pi\) | |||||||
\(854\) | −0.0840021 | + | 0.258532i | −0.00287449 | + | 0.00884678i | ||||
\(855\) | −9.14261 | + | 6.09581i | −0.312671 | + | 0.208472i | ||||
\(856\) | −15.5637 | − | 11.3077i | −0.531957 | − | 0.386489i | ||||
\(857\) | 20.1331 | − | 6.54164i | 0.687733 | − | 0.223458i | 0.0557552 | − | 0.998444i | \(-0.482243\pi\) |
0.631978 | + | 0.774986i | \(0.282243\pi\) | |||||||
\(858\) | −12.5240 | + | 1.72596i | −0.427561 | + | 0.0589232i | ||||
\(859\) | 48.4861 | + | 15.7541i | 1.65432 | + | 0.537522i | 0.979671 | − | 0.200612i | \(-0.0642931\pi\) |
0.674653 | + | 0.738135i | \(0.264293\pi\) | |||||||
\(860\) | −1.79700 | + | 5.53059i | −0.0612771 | + | 0.188591i | ||||
\(861\) | 1.41570 | − | 2.64544i | 0.0482470 | − | 0.0901565i | ||||
\(862\) | 4.74053 | 0.161463 | ||||||||
\(863\) | −41.6703 | −1.41847 | −0.709237 | − | 0.704970i | \(-0.750961\pi\) | ||||
−0.709237 | + | 0.704970i | \(0.750961\pi\) | |||||||
\(864\) | 4.47899 | + | 2.63413i | 0.152378 | + | 0.0896148i | ||||
\(865\) | 12.4272 | − | 9.02889i | 0.422538 | − | 0.306992i | ||||
\(866\) | 19.0342 | + | 13.8292i | 0.646809 | + | 0.469934i | ||||
\(867\) | −4.17404 | + | 4.00928i | −0.141758 | + | 0.136162i | ||||
\(868\) | −0.0358174 | + | 1.78243i | −0.00121572 | + | 0.0604995i | ||||
\(869\) | − | 14.1154i | − | 0.478831i | ||||||
\(870\) | −14.8278 | + | 2.04345i | −0.502708 | + | 0.0692794i | ||||
\(871\) | −0.560730 | − | 0.771778i | −0.0189996 | − | 0.0261507i | ||||
\(872\) | 1.58660 | − | 0.515518i | 0.0537291 | − | 0.0174576i | ||||
\(873\) | 1.03524 | − | 25.7001i | 0.0350377 | − | 0.869818i | ||||
\(874\) | − | 4.04148i | − | 0.136705i | ||||||
\(875\) | 0.304526 | − | 0.0989466i | 0.0102949 | − | 0.00334501i | ||||
\(876\) | −3.80843 | + | 1.84490i | −0.128675 | + | 0.0623332i | ||||
\(877\) | 14.6514 | − | 45.0924i | 0.494743 | − | 1.52266i | −0.322615 | − | 0.946530i | \(-0.604562\pi\) |
0.817358 | − | 0.576131i | \(-0.195438\pi\) | |||||||
\(878\) | −13.8335 | + | 19.0402i | −0.466859 | + | 0.642577i | ||||
\(879\) | −23.3445 | + | 43.6225i | −0.787389 | + | 1.47135i | ||||
\(880\) | 2.32540 | − | 3.20064i | 0.0783892 | − | 0.107894i | ||||
\(881\) | −38.4910 | + | 27.9653i | −1.29679 | + | 0.942175i | −0.999919 | − | 0.0127412i | \(-0.995944\pi\) |
−0.296874 | + | 0.954917i | \(0.595944\pi\) | |||||||
\(882\) | 7.18121 | − | 19.4063i | 0.241804 | − | 0.653446i | ||||
\(883\) | 28.6624 | + | 39.4504i | 0.964567 | + | 1.32761i | 0.944744 | + | 0.327809i | \(0.106310\pi\) |
0.0198232 | + | 0.999804i | \(0.493690\pi\) | |||||||
\(884\) | 4.89100 | + | 6.73189i | 0.164502 | + | 0.226418i | ||||
\(885\) | 8.72619 | + | 18.0136i | 0.293328 | + | 0.605519i | ||||
\(886\) | −18.3426 | + | 13.3266i | −0.616230 | + | 0.447717i | ||||
\(887\) | −21.9424 | + | 30.2011i | −0.736753 | + | 1.01405i | 0.262046 | + | 0.965055i | \(0.415603\pi\) |
−0.998799 | + | 0.0489983i | \(0.984397\pi\) | |||||||
\(888\) | 5.04851 | + | 2.70170i | 0.169417 | + | 0.0906630i | ||||
\(889\) | 2.96833 | − | 4.08556i | 0.0995547 | − | 0.137025i | ||||
\(890\) | 1.06497 | − | 3.27764i | 0.0356979 | − | 0.109867i | ||||
\(891\) | −13.6909 | + | 32.8685i | −0.458662 | + | 1.10114i | ||||
\(892\) | −13.9887 | + | 4.54520i | −0.468376 | + | 0.152185i | ||||
\(893\) | − | 6.85575i | − | 0.229419i | ||||||
\(894\) | −5.31673 | + | 5.10688i | −0.177818 | + | 0.170800i | ||||
\(895\) | −3.01061 | + | 0.978206i | −0.100634 | + | 0.0326978i | ||||
\(896\) | −0.188208 | − | 0.259046i | −0.00628757 | − | 0.00865410i | ||||
\(897\) | −0.481367 | − | 3.49291i | −0.0160724 | − | 0.116625i | ||||
\(898\) | − | 8.12222i | − | 0.271042i | ||||||
\(899\) | −46.0497 | + | 13.9460i | −1.53584 | + | 0.465126i | ||||
\(900\) | 0.120747 | − | 2.99757i | 0.00402490 | − | 0.0999190i | ||||
\(901\) | 3.36276 | + | 2.44319i | 0.112030 | + | 0.0813944i | ||||
\(902\) | −17.3157 | + | 12.5806i | −0.576551 | + | 0.418889i | ||||
\(903\) | −1.52171 | + | 2.84354i | −0.0506394 | + | 0.0946270i | ||||
\(904\) | −14.9219 | −0.496297 | ||||||||
\(905\) | 3.83839 | 0.127592 | ||||||||
\(906\) | 8.84992 | + | 4.73601i | 0.294019 | + | 0.157344i | ||||
\(907\) | 15.3704 | − | 47.3052i | 0.510365 | − | 1.57074i | −0.281194 | − | 0.959651i | \(-0.590730\pi\) |
0.791559 | − | 0.611092i | \(-0.209270\pi\) | |||||||
\(908\) | −18.7205 | − | 6.08264i | −0.621260 | − | 0.201860i | ||||
\(909\) | −33.4714 | − | 26.4405i | −1.11018 | − | 0.876975i | ||||
\(910\) | 0.561840 | − | 0.182553i | 0.0186248 | − | 0.00605157i | ||||
\(911\) | −8.22256 | − | 5.97404i | −0.272426 | − | 0.197929i | 0.443181 | − | 0.896432i | \(-0.353850\pi\) |
−0.715607 | + | 0.698503i | \(0.753850\pi\) | |||||||
\(912\) | 1.11838 | − | 6.24483i | 0.0370331 | − | 0.206787i | ||||
\(913\) | −8.93428 | + | 27.4969i | −0.295681 | + | 0.910014i | ||||
\(914\) | −11.5494 | + | 8.39115i | −0.382021 | + | 0.277555i | ||||
\(915\) | 0.259216 | − | 1.44742i | 0.00856941 | − | 0.0478502i | ||||
\(916\) | 2.87250 | + | 0.933332i | 0.0949101 | + | 0.0308382i | ||||
\(917\) | −2.59942 | − | 3.57779i | −0.0858402 | − | 0.118149i | ||||
\(918\) | 23.3260 | − | 2.26244i | 0.769872 | − | 0.0746717i | ||||
\(919\) | 12.2687 | + | 37.7591i | 0.404706 | + | 1.24556i | 0.921140 | + | 0.389231i | \(0.127259\pi\) |
−0.516434 | + | 0.856327i | \(0.672741\pi\) | |||||||
\(920\) | 0.892653 | + | 0.648550i | 0.0294299 | + | 0.0213821i | ||||
\(921\) | 9.09248 | + | 18.7697i | 0.299608 | + | 0.618483i | ||||
\(922\) | 23.7089 | + | 7.70348i | 0.780811 | + | 0.253701i | ||||
\(923\) | 4.33175 | + | 13.3318i | 0.142581 | + | 0.438820i | ||||
\(924\) | 1.58238 | − | 1.51993i | 0.0520566 | − | 0.0500019i | ||||
\(925\) | − | 3.30588i | − | 0.108697i | ||||||
\(926\) | −4.97673 | − | 15.3168i | −0.163545 | − | 0.503341i | ||||
\(927\) | 1.02063 | + | 1.53076i | 0.0335219 | + | 0.0502767i | ||||
\(928\) | 5.07948 | − | 6.99130i | 0.166742 | − | 0.229501i | ||||
\(929\) | −20.1623 | −0.661504 | −0.330752 | − | 0.943718i | \(-0.607302\pi\) | ||||
−0.330752 | + | 0.943718i | \(0.607302\pi\) | |||||||
\(930\) | −1.12437 | − | 9.57788i | −0.0368696 | − | 0.314071i | ||||
\(931\) | −25.2642 | −0.828000 | ||||||||
\(932\) | −3.17238 | + | 4.36641i | −0.103915 | + | 0.143027i | ||||
\(933\) | −57.8269 | − | 10.3561i | −1.89317 | − | 0.339044i | ||||
\(934\) | 2.05174 | + | 6.31461i | 0.0671350 | + | 0.206620i | ||||
\(935\) | − | 17.8431i | − | 0.583532i | ||||||
\(936\) | 0.222774 | − | 5.53041i | 0.00728159 | − | 0.180767i | ||||
\(937\) | −2.08096 | − | 6.40454i | −0.0679820 | − | 0.209227i | 0.911294 | − | 0.411755i | \(-0.135084\pi\) |
−0.979276 | + | 0.202528i | \(0.935084\pi\) | |||||||
\(938\) | 0.157461 | + | 0.0511621i | 0.00514127 | + | 0.00167050i | ||||
\(939\) | 0.102022 | − | 0.0494217i | 0.00332935 | − | 0.00161282i | ||||
\(940\) | 1.51425 | + | 1.10017i | 0.0493894 | + | 0.0358835i | ||||
\(941\) | 4.46996 | + | 13.7571i | 0.145716 | + | 0.448469i | 0.997102 | − | 0.0760707i | \(-0.0242375\pi\) |
−0.851386 | + | 0.524540i | \(0.824237\pi\) | |||||||
\(942\) | −0.548933 | − | 3.98319i | −0.0178852 | − | 0.129779i | ||||
\(943\) | −3.50872 | − | 4.82933i | −0.114260 | − | 0.157265i | ||||
\(944\) | −10.9906 | − | 3.57105i | −0.357712 | − | 0.116228i | ||||
\(945\) | 0.358980 | − | 1.62461i | 0.0116776 | − | 0.0528485i | ||||
\(946\) | 18.6124 | − | 13.5227i | 0.605140 | − | 0.439660i | ||||
\(947\) | 3.32806 | − | 10.2427i | 0.108147 | − | 0.332843i | −0.882309 | − | 0.470671i | \(-0.844012\pi\) |
0.990456 | + | 0.137827i | \(0.0440119\pi\) | |||||||
\(948\) | 6.08302 | + | 1.08940i | 0.197567 | + | 0.0353819i | ||||
\(949\) | 3.64675 | + | 2.64952i | 0.118379 | + | 0.0860070i | ||||
\(950\) | −3.48355 | + | 1.13187i | −0.113021 | + | 0.0367228i | ||||
\(951\) | 5.64838 | + | 40.9860i | 0.183161 | + | 1.32906i | ||||
\(952\) | −1.37346 | − | 0.446265i | −0.0445141 | − | 0.0144635i | ||||
\(953\) | 9.30400 | − | 28.6348i | 0.301386 | − | 0.927571i | −0.679615 | − | 0.733569i | \(-0.737853\pi\) |
0.981001 | − | 0.194002i | \(-0.0621468\pi\) | |||||||
\(954\) | −0.747851 | − | 2.66176i | −0.0242126 | − | 0.0861778i | ||||
\(955\) | 24.9007 | 0.805768 | ||||||||
\(956\) | 26.2366 | 0.848553 | ||||||||
\(957\) | 52.2101 | + | 27.9401i | 1.68771 | + | 0.903177i | ||||
\(958\) | 13.9199 | − | 10.1134i | 0.449731 | − | 0.326749i | ||||
\(959\) | −4.23753 | − | 3.07874i | −0.136837 | − | 0.0994178i | ||||
\(960\) | 1.19984 | + | 1.24915i | 0.0387248 | + | 0.0403161i | ||||
\(961\) | −8.38738 | − | 29.8438i | −0.270561 | − | 0.962703i | ||||
\(962\) | − | 6.09923i | − | 0.196647i | ||||||
\(963\) | 45.2879 | + | 35.7749i | 1.45938 | + | 1.15283i | ||||
\(964\) | −12.9273 | − | 17.7929i | −0.416360 | − | 0.573071i | ||||
\(965\) | −20.6668 | + | 6.71504i | −0.665287 | + | 0.216165i | ||||
\(966\) | 0.423905 | + | 0.441324i | 0.0136389 | + | 0.0141994i | ||||
\(967\) | 21.2015i | 0.681793i | 0.940101 | + | 0.340897i | \(0.110731\pi\) | ||||
−0.940101 | + | 0.340897i | \(0.889269\pi\) | |||||||
\(968\) | −4.42391 | + | 1.43741i | −0.142190 | + | 0.0462003i | ||||
\(969\) | −12.4744 | − | 25.7509i | −0.400734 | − | 0.827239i | ||||
\(970\) | 2.64941 | − | 8.15403i | 0.0850673 | − | 0.261810i | ||||
\(971\) | 32.6111 | − | 44.8854i | 1.04654 | − | 1.44044i | 0.154772 | − | 0.987950i | \(-0.450536\pi\) |
0.891770 | − | 0.452490i | \(-0.149464\pi\) | |||||||
\(972\) | −13.1080 | − | 8.43680i | −0.420440 | − | 0.270611i | ||||
\(973\) | 2.26441 | − | 3.11670i | 0.0725938 | − | 0.0999168i | ||||
\(974\) | −12.1734 | + | 8.84448i | −0.390060 | + | 0.283395i | ||||
\(975\) | −2.87590 | + | 1.39315i | −0.0921025 | + | 0.0446166i | ||||
\(976\) | 0.499008 | + | 0.686826i | 0.0159729 | + | 0.0219848i | ||||
\(977\) | 8.53784 | + | 11.7513i | 0.273150 | + | 0.375958i | 0.923450 | − | 0.383719i | \(-0.125357\pi\) |
−0.650300 | + | 0.759677i | \(0.725357\pi\) | |||||||
\(978\) | 27.6407 | − | 13.3898i | 0.883852 | − | 0.428159i | ||||
\(979\) | −11.0304 | + | 8.01407i | −0.352534 | + | 0.256131i | ||||
\(980\) | 4.05423 | − | 5.58017i | 0.129508 | − | 0.178252i | ||||
\(981\) | −4.81819 | + | 1.35372i | −0.153833 | + | 0.0432211i | ||||
\(982\) | −7.66787 | + | 10.5539i | −0.244692 | + | 0.336789i | ||||
\(983\) | 11.0705 | − | 34.0716i | 0.353095 | − | 1.08671i | −0.604011 | − | 0.796976i | \(-0.706432\pi\) |
0.957106 | − | 0.289739i | \(-0.0935684\pi\) | |||||||
\(984\) | −4.08522 | − | 8.43316i | −0.130232 | − | 0.268839i | ||||
\(985\) | −9.85498 | + | 3.20208i | −0.314006 | + | 0.102027i | ||||
\(986\) | − | 38.9755i | − | 1.24123i | ||||||
\(987\) | 0.719090 | + | 0.748639i | 0.0228889 | + | 0.0238294i | ||||
\(988\) | −6.42702 | + | 2.08826i | −0.204471 | + | 0.0664365i | ||||
\(989\) | 3.77145 | + | 5.19096i | 0.119925 | + | 0.165063i | ||||
\(990\) | −7.35701 | + | 9.31335i | −0.233821 | + | 0.295998i | ||||
\(991\) | 5.37964i | 0.170890i | 0.996343 | + | 0.0854449i | \(0.0272312\pi\) | ||||
−0.996343 | + | 0.0854449i | \(0.972769\pi\) | |||||||
\(992\) | 4.43776 | + | 3.36249i | 0.140899 | + | 0.106759i | ||||
\(993\) | −5.25332 | − | 5.46919i | −0.166709 | − | 0.173560i | ||||
\(994\) | −1.96820 | − | 1.42998i | −0.0624276 | − | 0.0453563i | ||||
\(995\) | −2.25359 | + | 1.63733i | −0.0714435 | + | 0.0519067i | ||||
\(996\) | −11.1602 | − | 5.97238i | −0.353626 | − | 0.189242i | ||||
\(997\) | −35.1088 | −1.11191 | −0.555953 | − | 0.831214i | \(-0.687647\pi\) | ||||
−0.555953 | + | 0.831214i | \(0.687647\pi\) | |||||||
\(998\) | −28.5720 | −0.904431 | ||||||||
\(999\) | −14.8070 | − | 8.70811i | −0.468474 | − | 0.275513i |
(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 | 930.2.v.b.401.7 | ✓ | 80 | |
3.2 | odd | 2 | inner | 930.2.v.b.401.11 | yes | 80 | |
31.15 | odd | 10 | inner | 930.2.v.b.821.11 | yes | 80 | |
93.77 | even | 10 | inner | 930.2.v.b.821.7 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.v.b.401.7 | ✓ | 80 | 1.1 | even | 1 | trivial | |
930.2.v.b.401.11 | yes | 80 | 3.2 | odd | 2 | inner | |
930.2.v.b.821.7 | yes | 80 | 93.77 | even | 10 | inner | |
930.2.v.b.821.11 | yes | 80 | 31.15 | odd | 10 | inner |