Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.15 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.15 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 2.92260 | − | 0.677069i | 0.974199 | − | 0.225690i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 4.99957 | − | 0.0656422i | 0.999914 | − | 0.0131284i | ||||
\(6\) | 4.24017 | + | 0.144852i | 0.706695 | + | 0.0241420i | ||||
\(7\) | −2.70652 | + | 6.45560i | −0.386646 | + | 0.922228i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | 8.08316 | − | 3.95760i | 0.898128 | − | 0.439733i | ||||
\(10\) | 6.85357 | + | 1.74030i | 0.685357 | + | 0.174030i | ||||
\(11\) | −17.7852 | − | 10.2683i | −1.61684 | − | 0.933482i | −0.987731 | − | 0.156164i | \(-0.950087\pi\) |
−0.629108 | − | 0.777318i | \(-0.716580\pi\) | |||||||
\(12\) | 5.73916 | + | 1.74988i | 0.478263 | + | 0.145823i | ||||
\(13\) | 10.2742 | + | 10.2742i | 0.790321 | + | 0.790321i | 0.981546 | − | 0.191225i | \(-0.0612460\pi\) |
−0.191225 | + | 0.981546i | \(0.561246\pi\) | |||||||
\(14\) | −6.06009 | + | 7.82786i | −0.432863 | + | 0.559133i | ||||
\(15\) | 14.5673 | − | 3.57690i | 0.971152 | − | 0.238460i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −16.4097 | + | 4.39696i | −0.965276 | + | 0.258645i | −0.706832 | − | 0.707381i | \(-0.749876\pi\) |
−0.258444 | + | 0.966026i | \(0.583210\pi\) | |||||||
\(18\) | 12.4904 | − | 2.44754i | 0.693910 | − | 0.135975i | ||||
\(19\) | −11.5679 | − | 20.0362i | −0.608838 | − | 1.05454i | −0.991432 | − | 0.130622i | \(-0.958302\pi\) |
0.382594 | − | 0.923917i | \(-0.375031\pi\) | |||||||
\(20\) | 8.72515 | + | 4.88587i | 0.436257 | + | 0.244294i | ||||
\(21\) | −3.53919 | + | 20.6996i | −0.168533 | + | 0.985696i | ||||
\(22\) | −20.5366 | − | 20.5366i | −0.933482 | − | 0.933482i | ||||
\(23\) | 5.50900 | − | 20.5599i | 0.239522 | − | 0.893907i | −0.736537 | − | 0.676398i | \(-0.763540\pi\) |
0.976058 | − | 0.217509i | \(-0.0697932\pi\) | |||||||
\(24\) | 7.19933 | + | 4.49106i | 0.299972 | + | 0.187127i | ||||
\(25\) | 24.9914 | − | 0.656366i | 0.999655 | − | 0.0262546i | ||||
\(26\) | 10.2742 | + | 17.7954i | 0.395161 | + | 0.684438i | ||||
\(27\) | 20.9442 | − | 17.0393i | 0.775713 | − | 0.631086i | ||||
\(28\) | −11.1434 | + | 8.47490i | −0.397980 | + | 0.302675i | ||||
\(29\) | −2.30614 | −0.0795221 | −0.0397610 | − | 0.999209i | \(-0.512660\pi\) | ||||
−0.0397610 | + | 0.999209i | \(0.512660\pi\) | |||||||
\(30\) | 21.2085 | + | 0.445862i | 0.706951 | + | 0.0148621i | ||||
\(31\) | 3.09559 | + | 1.78724i | 0.0998577 | + | 0.0576529i | 0.549097 | − | 0.835758i | \(-0.314972\pi\) |
−0.449239 | + | 0.893411i | \(0.648305\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −58.9314 | − | 17.9683i | −1.78580 | − | 0.544494i | ||||
\(34\) | −24.0255 | −0.706631 | ||||||||
\(35\) | −13.1077 | + | 32.4529i | −0.374505 | + | 0.927225i | ||||
\(36\) | 17.9580 | + | 1.22839i | 0.498834 | + | 0.0341220i | ||||
\(37\) | −10.7499 | + | 40.1190i | −0.290536 | + | 1.08430i | 0.654161 | + | 0.756355i | \(0.273022\pi\) |
−0.944698 | + | 0.327942i | \(0.893645\pi\) | |||||||
\(38\) | −8.46831 | − | 31.6042i | −0.222850 | − | 0.831689i | ||||
\(39\) | 36.9836 | + | 23.0710i | 0.948298 | + | 0.591563i | ||||
\(40\) | 10.1304 | + | 9.86785i | 0.253261 | + | 0.246696i | ||||
\(41\) | 0.0268075 | 0.000653841 | 0.000326921 | − | 1.00000i | \(-0.499896\pi\) | ||||
0.000326921 | 1.00000i | \(0.499896\pi\) | ||||||||
\(42\) | −12.4112 | + | 26.9808i | −0.295505 | + | 0.642399i | ||||
\(43\) | −6.00590 | + | 6.00590i | −0.139672 | + | 0.139672i | −0.773486 | − | 0.633814i | \(-0.781489\pi\) |
0.633814 | + | 0.773486i | \(0.281489\pi\) | |||||||
\(44\) | −20.5366 | − | 35.5705i | −0.466741 | − | 0.808419i | ||||
\(45\) | 40.1525 | − | 20.3169i | 0.892278 | − | 0.451486i | ||||
\(46\) | 15.0509 | − | 26.0689i | 0.327193 | − | 0.566714i | ||||
\(47\) | 3.18676 | − | 11.8931i | 0.0678033 | − | 0.253046i | −0.923702 | − | 0.383112i | \(-0.874852\pi\) |
0.991505 | + | 0.130066i | \(0.0415190\pi\) | |||||||
\(48\) | 8.19063 | + | 8.77004i | 0.170638 | + | 0.182709i | ||||
\(49\) | −34.3495 | − | 34.9444i | −0.701010 | − | 0.713151i | ||||
\(50\) | 34.3791 | + | 8.25087i | 0.687582 | + | 0.165017i | ||||
\(51\) | −44.9819 | + | 23.9610i | −0.881997 | + | 0.469824i | ||||
\(52\) | 7.52122 | + | 28.0696i | 0.144639 | + | 0.539800i | ||||
\(53\) | −8.99679 | + | 2.41068i | −0.169751 | + | 0.0454846i | −0.342693 | − | 0.939447i | \(-0.611339\pi\) |
0.172943 | + | 0.984932i | \(0.444672\pi\) | |||||||
\(54\) | 34.8472 | − | 15.6100i | 0.645318 | − | 0.289075i | ||||
\(55\) | −89.5925 | − | 50.1696i | −1.62895 | − | 0.912175i | ||||
\(56\) | −18.3242 | + | 7.49816i | −0.327219 | + | 0.133896i | ||||
\(57\) | −47.3743 | − | 50.7256i | −0.831129 | − | 0.889923i | ||||
\(58\) | −3.15025 | − | 0.844106i | −0.0543146 | − | 0.0145535i | ||||
\(59\) | −13.7556 | − | 7.94180i | −0.233146 | − | 0.134607i | 0.378877 | − | 0.925447i | \(-0.376310\pi\) |
−0.612022 | + | 0.790840i | \(0.709644\pi\) | |||||||
\(60\) | 28.8082 | + | 8.37192i | 0.480136 | + | 0.139532i | ||||
\(61\) | 41.9848 | − | 24.2400i | 0.688276 | − | 0.397376i | −0.114690 | − | 0.993401i | \(-0.536587\pi\) |
0.802966 | + | 0.596025i | \(0.203254\pi\) | |||||||
\(62\) | 3.57448 | + | 3.57448i | 0.0576529 | + | 0.0576529i | ||||
\(63\) | 3.67145 | + | 62.8929i | 0.0582770 | + | 0.998300i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | 52.0409 | + | 50.6920i | 0.800629 | + | 0.779878i | ||||
\(66\) | −73.9250 | − | 46.1156i | −1.12008 | − | 0.698721i | ||||
\(67\) | −23.7880 | + | 6.37397i | −0.355045 | + | 0.0951339i | −0.431933 | − | 0.901906i | \(-0.642168\pi\) |
0.0768881 | + | 0.997040i | \(0.475502\pi\) | |||||||
\(68\) | −32.8194 | − | 8.79393i | −0.482638 | − | 0.129322i | ||||
\(69\) | 2.18014 | − | 63.8182i | 0.0315963 | − | 0.924901i | ||||
\(70\) | −29.7840 | + | 39.5337i | −0.425486 | + | 0.564767i | ||||
\(71\) | 80.4443i | 1.13302i | 0.824055 | + | 0.566509i | \(0.191706\pi\) | ||||
−0.824055 | + | 0.566509i | \(0.808294\pi\) | |||||||
\(72\) | 24.0815 | + | 8.25111i | 0.334465 | + | 0.114599i | ||||
\(73\) | −137.930 | + | 36.9582i | −1.88945 | + | 0.506277i | −0.890796 | + | 0.454403i | \(0.849853\pi\) |
−0.998654 | + | 0.0518734i | \(0.983481\pi\) | |||||||
\(74\) | −29.3691 | + | 50.8688i | −0.396880 | + | 0.687417i | ||||
\(75\) | 72.5954 | − | 18.8392i | 0.967938 | − | 0.251189i | ||||
\(76\) | − | 46.2717i | − | 0.608838i | ||||||
\(77\) | 114.424 | − | 87.0229i | 1.48603 | − | 1.13017i | ||||
\(78\) | 42.0760 | + | 45.0525i | 0.539436 | + | 0.577596i | ||||
\(79\) | −22.7970 | + | 13.1619i | −0.288570 | + | 0.166606i | −0.637297 | − | 0.770619i | \(-0.719947\pi\) |
0.348727 | + | 0.937224i | \(0.386614\pi\) | |||||||
\(80\) | 10.2265 | + | 17.1877i | 0.127832 | + | 0.214847i | ||||
\(81\) | 49.6748 | − | 63.9798i | 0.613269 | − | 0.789874i | ||||
\(82\) | 0.0366197 | + | 0.00981222i | 0.000446582 | + | 0.000119661i | ||||
\(83\) | 83.7069 | − | 83.7069i | 1.00852 | − | 1.00852i | 0.00855347 | − | 0.999963i | \(-0.497277\pi\) |
0.999963 | − | 0.00855347i | \(-0.00272269\pi\) | |||||||
\(84\) | −26.8297 | + | 32.3136i | −0.319401 | + | 0.384686i | ||||
\(85\) | −81.7527 | + | 23.0601i | −0.961797 | + | 0.271295i | ||||
\(86\) | −10.4025 | + | 6.00590i | −0.120960 | + | 0.0698360i | ||||
\(87\) | −6.73992 | + | 1.56142i | −0.0774703 | + | 0.0179473i | ||||
\(88\) | −15.0338 | − | 56.1071i | −0.170839 | − | 0.637580i | ||||
\(89\) | −39.3534 | + | 22.7207i | −0.442173 | + | 0.255289i | −0.704519 | − | 0.709685i | \(-0.748837\pi\) |
0.262346 | + | 0.964974i | \(0.415504\pi\) | |||||||
\(90\) | 62.2858 | − | 13.0565i | 0.692065 | − | 0.145073i | ||||
\(91\) | −94.1332 | + | 38.5187i | −1.03443 | + | 0.423282i | ||||
\(92\) | 30.1017 | − | 30.1017i | 0.327193 | − | 0.327193i | ||||
\(93\) | 10.2572 | + | 3.12746i | 0.110293 | + | 0.0336285i | ||||
\(94\) | 8.70638 | − | 15.0799i | 0.0926211 | − | 0.160424i | ||||
\(95\) | −59.1499 | − | 99.4132i | −0.622630 | − | 1.04646i | ||||
\(96\) | 7.97855 | + | 14.9781i | 0.0831099 | + | 0.156022i | ||||
\(97\) | 84.5722 | − | 84.5722i | 0.871878 | − | 0.871878i | −0.120799 | − | 0.992677i | \(-0.538546\pi\) |
0.992677 | + | 0.120799i | \(0.0385456\pi\) | |||||||
\(98\) | −34.1317 | − | 60.3077i | −0.348283 | − | 0.615385i | ||||
\(99\) | −184.399 | − | 12.6135i | −1.86261 | − | 0.127409i | ||||
\(100\) | 43.9427 | + | 23.8545i | 0.439427 | + | 0.238545i | ||||
\(101\) | −78.0280 | + | 135.148i | −0.772554 | + | 1.33810i | 0.163605 | + | 0.986526i | \(0.447688\pi\) |
−0.936159 | + | 0.351577i | \(0.885646\pi\) | |||||||
\(102\) | −70.2167 | + | 16.2669i | −0.688399 | + | 0.159479i | ||||
\(103\) | 23.1494 | − | 86.3948i | 0.224752 | − | 0.838785i | −0.757752 | − | 0.652542i | \(-0.773702\pi\) |
0.982504 | − | 0.186242i | \(-0.0596309\pi\) | |||||||
\(104\) | 41.0967i | 0.395161i | ||||||||
\(105\) | −16.3356 | + | 103.721i | −0.155577 | + | 0.987824i | ||||
\(106\) | −13.1722 | −0.124266 | ||||||||
\(107\) | 46.5411 | + | 12.4706i | 0.434963 | + | 0.116548i | 0.469655 | − | 0.882850i | \(-0.344378\pi\) |
−0.0346918 | + | 0.999398i | \(0.511045\pi\) | |||||||
\(108\) | 53.3158 | − | 8.56873i | 0.493665 | − | 0.0793401i | ||||
\(109\) | −32.5583 | − | 18.7976i | −0.298700 | − | 0.172455i | 0.343159 | − | 0.939278i | \(-0.388503\pi\) |
−0.641859 | + | 0.766823i | \(0.721837\pi\) | |||||||
\(110\) | −104.022 | − | 101.326i | −0.945657 | − | 0.921147i | ||||
\(111\) | −4.25417 | + | 124.530i | −0.0383259 | + | 1.12189i | ||||
\(112\) | −27.7759 | + | 3.53553i | −0.247999 | + | 0.0315673i | ||||
\(113\) | 50.8023 | + | 50.8023i | 0.449578 | + | 0.449578i | 0.895214 | − | 0.445636i | \(-0.147023\pi\) |
−0.445636 | + | 0.895214i | \(0.647023\pi\) | |||||||
\(114\) | −46.1477 | − | 86.6327i | −0.404804 | − | 0.759936i | ||||
\(115\) | 26.1930 | − | 103.152i | 0.227765 | − | 0.896975i | ||||
\(116\) | −3.99435 | − | 2.30614i | −0.0344341 | − | 0.0198805i | ||||
\(117\) | 123.709 | + | 42.3867i | 1.05734 | + | 0.362279i | ||||
\(118\) | −15.8836 | − | 15.8836i | −0.134607 | − | 0.134607i | ||||
\(119\) | 16.0281 | − | 117.835i | 0.134690 | − | 0.990209i | ||||
\(120\) | 36.2884 | + | 21.9808i | 0.302403 | + | 0.183173i | ||||
\(121\) | 150.376 | + | 260.459i | 1.24278 | + | 2.15256i | ||||
\(122\) | 66.2248 | − | 17.7449i | 0.542826 | − | 0.145450i | ||||
\(123\) | 0.0783475 | − | 0.0181505i | 0.000636972 | − | 0.000147565i | ||||
\(124\) | 3.57448 | + | 6.19118i | 0.0288264 | + | 0.0499289i | ||||
\(125\) | 124.903 | − | 4.92204i | 0.999224 | − | 0.0393763i | ||||
\(126\) | −18.0051 | + | 87.2572i | −0.142898 | + | 0.692517i | ||||
\(127\) | 116.547 | + | 116.547i | 0.917690 | + | 0.917690i | 0.996861 | − | 0.0791709i | \(-0.0252273\pi\) |
−0.0791709 | + | 0.996861i | \(0.525227\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −13.4864 | + | 21.6192i | −0.104546 | + | 0.167591i | ||||
\(130\) | 52.5346 | + | 88.2949i | 0.404112 | + | 0.679192i | ||||
\(131\) | 62.0948 | + | 107.551i | 0.474006 | + | 0.821003i | 0.999557 | − | 0.0297594i | \(-0.00947411\pi\) |
−0.525551 | + | 0.850762i | \(0.676141\pi\) | |||||||
\(132\) | −84.1039 | − | 90.0534i | −0.637151 | − | 0.682223i | ||||
\(133\) | 160.655 | − | 20.4494i | 1.20793 | − | 0.153755i | ||||
\(134\) | −34.8280 | −0.259911 | ||||||||
\(135\) | 103.594 | − | 86.5641i | 0.767361 | − | 0.641216i | ||||
\(136\) | −41.6133 | − | 24.0255i | −0.305980 | − | 0.176658i | ||||
\(137\) | 56.4241 | + | 210.578i | 0.411855 | + | 1.53706i | 0.791053 | + | 0.611748i | \(0.209533\pi\) |
−0.379197 | + | 0.925316i | \(0.623800\pi\) | |||||||
\(138\) | 26.3372 | − | 86.3793i | 0.190849 | − | 0.625937i | ||||
\(139\) | 59.3797 | 0.427192 | 0.213596 | − | 0.976922i | \(-0.431482\pi\) | ||||
0.213596 | + | 0.976922i | \(0.431482\pi\) | |||||||
\(140\) | −55.1560 | + | 43.1023i | −0.393972 | + | 0.307874i | ||||
\(141\) | 1.26114 | − | 36.9165i | 0.00894422 | − | 0.261819i | ||||
\(142\) | −29.4447 | + | 109.889i | −0.207357 | + | 0.773866i | ||||
\(143\) | −77.2302 | − | 288.227i | −0.540071 | − | 2.01557i | ||||
\(144\) | 29.8758 | + | 20.0857i | 0.207471 | + | 0.139484i | ||||
\(145\) | −11.5297 | + | 0.151380i | −0.0795152 | + | 0.00104400i | ||||
\(146\) | −201.943 | −1.38317 | ||||||||
\(147\) | −124.050 | − | 78.8715i | −0.843874 | − | 0.536541i | ||||
\(148\) | −58.7383 | + | 58.7383i | −0.396880 | + | 0.396880i | ||||
\(149\) | 85.0716 | + | 147.348i | 0.570950 | + | 0.988915i | 0.996469 | + | 0.0839650i | \(0.0267584\pi\) |
−0.425519 | + | 0.904950i | \(0.639908\pi\) | |||||||
\(150\) | 106.063 | + | 0.836946i | 0.707085 | + | 0.00557964i | ||||
\(151\) | −15.8953 | + | 27.5315i | −0.105267 | + | 0.182328i | −0.913847 | − | 0.406058i | \(-0.866903\pi\) |
0.808580 | + | 0.588386i | \(0.200236\pi\) | |||||||
\(152\) | 16.9366 | − | 63.2084i | 0.111425 | − | 0.415844i | ||||
\(153\) | −115.241 | + | 100.484i | −0.753207 | + | 0.656760i | ||||
\(154\) | 188.159 | − | 76.9934i | 1.22181 | − | 0.499957i | ||||
\(155\) | 15.5939 | + | 8.73223i | 0.100606 | + | 0.0563369i | ||||
\(156\) | 40.9865 | + | 76.9437i | 0.262734 | + | 0.493229i | ||||
\(157\) | −71.4356 | − | 266.601i | −0.455004 | − | 1.69810i | −0.688076 | − | 0.725639i | \(-0.741544\pi\) |
0.233072 | − | 0.972460i | \(-0.425122\pi\) | |||||||
\(158\) | −35.9588 | + | 9.63514i | −0.227588 | + | 0.0609819i | ||||
\(159\) | −24.6618 | + | 13.1369i | −0.155106 | + | 0.0826220i | ||||
\(160\) | 7.67855 | + | 27.2220i | 0.0479910 | + | 0.170138i | ||||
\(161\) | 117.816 | + | 91.2096i | 0.731776 | + | 0.566519i | ||||
\(162\) | 91.2753 | − | 69.2158i | 0.563428 | − | 0.427258i | ||||
\(163\) | 288.194 | + | 77.2215i | 1.76806 | + | 0.473751i | 0.988326 | − | 0.152355i | \(-0.0486856\pi\) |
0.779738 | + | 0.626106i | \(0.215352\pi\) | |||||||
\(164\) | 0.0464319 | + | 0.0268075i | 0.000283122 | + | 0.000163460i | ||||
\(165\) | −295.811 | − | 85.9654i | −1.79280 | − | 0.521002i | ||||
\(166\) | 144.985 | − | 83.7069i | 0.873401 | − | 0.504258i | ||||
\(167\) | −26.5855 | − | 26.5855i | −0.159195 | − | 0.159195i | 0.623015 | − | 0.782210i | \(-0.285907\pi\) |
−0.782210 | + | 0.623015i | \(0.785907\pi\) | |||||||
\(168\) | −48.4776 | + | 34.3209i | −0.288557 | + | 0.204291i | ||||
\(169\) | 42.1174i | 0.249216i | ||||||||
\(170\) | −120.117 | + | 1.57708i | −0.706570 | + | 0.00927697i | ||||
\(171\) | −172.801 | − | 116.175i | −1.01053 | − | 0.679385i | ||||
\(172\) | −16.4084 | + | 4.39662i | −0.0953978 | + | 0.0255618i | ||||
\(173\) | 118.374 | + | 31.7182i | 0.684243 | + | 0.183342i | 0.584162 | − | 0.811637i | \(-0.301423\pi\) |
0.100081 | + | 0.994979i | \(0.468090\pi\) | |||||||
\(174\) | −9.77842 | − | 0.334049i | −0.0561978 | − | 0.00191982i | ||||
\(175\) | −63.4024 | + | 163.111i | −0.362300 | + | 0.932062i | ||||
\(176\) | − | 82.1465i | − | 0.466741i | ||||||
\(177\) | −45.5792 | − | 13.8972i | −0.257510 | − | 0.0785152i | ||||
\(178\) | −62.0741 | + | 16.6327i | −0.348731 | + | 0.0934422i | ||||
\(179\) | 130.298 | − | 225.682i | 0.727921 | − | 1.26080i | −0.229840 | − | 0.973229i | \(-0.573820\pi\) |
0.957760 | − | 0.287567i | \(-0.0928465\pi\) | |||||||
\(180\) | 89.8631 | + | 4.96262i | 0.499239 | + | 0.0275701i | ||||
\(181\) | − | 208.629i | − | 1.15265i | −0.817221 | − | 0.576325i | \(-0.804486\pi\) | ||
0.817221 | − | 0.576325i | \(-0.195514\pi\) | |||||||
\(182\) | −142.687 | + | 18.1624i | −0.783996 | + | 0.0997932i | ||||
\(183\) | 106.293 | − | 99.2703i | 0.580834 | − | 0.542461i | ||||
\(184\) | 52.1377 | − | 30.1017i | 0.283357 | − | 0.163596i | ||||
\(185\) | −51.1111 | + | 201.283i | −0.276276 | + | 1.08802i | ||||
\(186\) | 12.8669 | + | 8.02660i | 0.0691771 | + | 0.0431537i | ||||
\(187\) | 336.999 | + | 90.2987i | 1.80214 | + | 0.482881i | ||||
\(188\) | 17.4128 | − | 17.4128i | 0.0926211 | − | 0.0926211i | ||||
\(189\) | 53.3130 | + | 181.325i | 0.282079 | + | 0.959391i | ||||
\(190\) | −44.4125 | − | 157.451i | −0.233750 | − | 0.828691i | ||||
\(191\) | −79.0834 | + | 45.6588i | −0.414049 | + | 0.239051i | −0.692528 | − | 0.721391i | \(-0.743503\pi\) |
0.278479 | + | 0.960442i | \(0.410170\pi\) | |||||||
\(192\) | 5.41655 | + | 23.3808i | 0.0282112 | + | 0.121775i | ||||
\(193\) | 34.6802 | + | 129.428i | 0.179690 | + | 0.670612i | 0.995705 | + | 0.0925816i | \(0.0295119\pi\) |
−0.816015 | + | 0.578031i | \(0.803821\pi\) | |||||||
\(194\) | 146.483 | − | 84.5722i | 0.755069 | − | 0.435939i | ||||
\(195\) | 186.417 | + | 112.917i | 0.955982 | + | 0.579062i | ||||
\(196\) | −24.5507 | − | 94.8750i | −0.125258 | − | 0.484056i | ||||
\(197\) | 202.633 | − | 202.633i | 1.02860 | − | 1.02860i | 0.0290171 | − | 0.999579i | \(-0.490762\pi\) |
0.999579 | − | 0.0290171i | \(-0.00923772\pi\) | |||||||
\(198\) | −247.276 | − | 84.7249i | −1.24887 | − | 0.427904i | ||||
\(199\) | 16.7094 | − | 28.9416i | 0.0839670 | − | 0.145435i | −0.820984 | − | 0.570952i | \(-0.806574\pi\) |
0.904951 | + | 0.425517i | \(0.139908\pi\) | |||||||
\(200\) | 51.2955 | + | 48.6700i | 0.256477 | + | 0.243350i | ||||
\(201\) | −65.2071 | + | 34.7347i | −0.324413 | + | 0.172809i | ||||
\(202\) | −156.056 | + | 156.056i | −0.772554 | + | 0.772554i | ||||
\(203\) | 6.24161 | − | 14.8875i | 0.0307469 | − | 0.0733375i | ||||
\(204\) | −101.872 | − | 3.48013i | −0.499372 | − | 0.0170595i | ||||
\(205\) | 0.134026 | − | 0.00175970i | 0.000653785 | − | 8.58392e-6i | ||||
\(206\) | 63.2454 | − | 109.544i | 0.307016 | − | 0.531768i | ||||
\(207\) | −36.8376 | − | 187.991i | −0.177959 | − | 0.908169i | ||||
\(208\) | −15.0424 | + | 56.1391i | −0.0723194 | + | 0.269900i | ||||
\(209\) | 475.132i | 2.27336i | ||||||||
\(210\) | −60.2796 | + | 135.707i | −0.287046 | + | 0.646223i | ||||
\(211\) | −163.964 | −0.777081 | −0.388541 | − | 0.921432i | \(-0.627021\pi\) | ||||
−0.388541 | + | 0.921432i | \(0.627021\pi\) | |||||||
\(212\) | −17.9936 | − | 4.82136i | −0.0848754 | − | 0.0227423i | ||||
\(213\) | 54.4663 | + | 235.106i | 0.255711 | + | 1.10379i | ||||
\(214\) | 59.0117 | + | 34.0704i | 0.275756 | + | 0.159208i | ||||
\(215\) | −29.6327 | + | 30.4211i | −0.137826 | + | 0.141494i | ||||
\(216\) | 75.9671 | + | 7.80984i | 0.351700 | + | 0.0361567i | ||||
\(217\) | −19.9160 | + | 15.1467i | −0.0917787 | + | 0.0698004i | ||||
\(218\) | −37.5951 | − | 37.5951i | −0.172455 | − | 0.172455i | ||||
\(219\) | −378.090 | + | 201.402i | −1.72644 | + | 0.919643i | ||||
\(220\) | −105.009 | − | 176.489i | −0.477314 | − | 0.802222i | ||||
\(221\) | −213.771 | − | 123.421i | −0.967291 | − | 0.558465i | ||||
\(222\) | −51.3925 | + | 168.554i | −0.231498 | + | 0.759253i | ||||
\(223\) | −158.312 | − | 158.312i | −0.709919 | − | 0.709919i | 0.256599 | − | 0.966518i | \(-0.417398\pi\) |
−0.966518 | + | 0.256599i | \(0.917398\pi\) | |||||||
\(224\) | −39.2367 | − | 5.33705i | −0.175164 | − | 0.0238261i | ||||
\(225\) | 199.412 | − | 104.211i | 0.886274 | − | 0.463162i | ||||
\(226\) | 50.8023 | + | 87.9921i | 0.224789 | + | 0.389346i | ||||
\(227\) | −367.930 | + | 98.5866i | −1.62084 | + | 0.434302i | −0.951247 | − | 0.308429i | \(-0.900197\pi\) |
−0.669590 | + | 0.742731i | \(0.733530\pi\) | |||||||
\(228\) | −31.3291 | − | 135.234i | −0.137409 | − | 0.593130i | ||||
\(229\) | −35.2818 | − | 61.1098i | −0.154069 | − | 0.266855i | 0.778651 | − | 0.627458i | \(-0.215904\pi\) |
−0.932720 | + | 0.360603i | \(0.882571\pi\) | |||||||
\(230\) | 73.5366 | − | 131.321i | 0.319724 | − | 0.570961i | ||||
\(231\) | 275.495 | − | 331.806i | 1.19262 | − | 1.43639i | ||||
\(232\) | −4.61228 | − | 4.61228i | −0.0198805 | − | 0.0198805i | ||||
\(233\) | 91.0726 | − | 339.887i | 0.390869 | − | 1.45874i | −0.437834 | − | 0.899056i | \(-0.644254\pi\) |
0.828703 | − | 0.559689i | \(-0.189079\pi\) | |||||||
\(234\) | 153.475 | + | 103.182i | 0.655875 | + | 0.440948i | ||||
\(235\) | 15.1517 | − | 59.6698i | 0.0644754 | − | 0.253914i | ||||
\(236\) | −15.8836 | − | 27.5112i | −0.0673034 | − | 0.116573i | ||||
\(237\) | −57.7150 | + | 53.9019i | −0.243523 | + | 0.227434i | ||||
\(238\) | 65.0254 | − | 155.099i | 0.273216 | − | 0.651675i | ||||
\(239\) | −254.464 | −1.06470 | −0.532351 | − | 0.846524i | \(-0.678691\pi\) | ||||
−0.532351 | + | 0.846524i | \(0.678691\pi\) | |||||||
\(240\) | 41.5253 | + | 43.3088i | 0.173022 | + | 0.180453i | ||||
\(241\) | 237.059 | + | 136.866i | 0.983646 | + | 0.567908i | 0.903369 | − | 0.428864i | \(-0.141086\pi\) |
0.0802771 | + | 0.996773i | \(0.474419\pi\) | |||||||
\(242\) | 110.083 | + | 410.836i | 0.454889 | + | 1.69767i | ||||
\(243\) | 101.861 | − | 220.620i | 0.419180 | − | 0.907903i | ||||
\(244\) | 96.9599 | 0.397376 | ||||||||
\(245\) | −174.027 | − | 172.452i | −0.710312 | − | 0.703887i | ||||
\(246\) | 0.113668 | + | 0.00388311i | 0.000462066 | + | 1.57850e-5i | ||||
\(247\) | 87.0050 | − | 324.707i | 0.352247 | − | 1.31460i | ||||
\(248\) | 2.61670 | + | 9.76566i | 0.0105512 | + | 0.0393777i | ||||
\(249\) | 187.966 | − | 301.317i | 0.754885 | − | 1.21011i | ||||
\(250\) | 172.422 | + | 38.9941i | 0.689689 | + | 0.155976i | ||||
\(251\) | −191.024 | −0.761051 | −0.380525 | − | 0.924770i | \(-0.624257\pi\) | ||||
−0.380525 | + | 0.924770i | \(0.624257\pi\) | |||||||
\(252\) | −56.5338 | + | 112.605i | −0.224340 | + | 0.446846i | ||||
\(253\) | −309.094 | + | 309.094i | −1.22171 | + | 1.22171i | ||||
\(254\) | 116.547 | + | 201.865i | 0.458845 | + | 0.794743i | ||||
\(255\) | −223.317 | + | 122.748i | −0.875753 | + | 0.481363i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −52.7967 | + | 197.040i | −0.205435 | + | 0.766693i | 0.783882 | + | 0.620910i | \(0.213237\pi\) |
−0.989317 | + | 0.145783i | \(0.953430\pi\) | |||||||
\(258\) | −26.3360 | + | 24.5960i | −0.102077 | + | 0.0953335i | ||||
\(259\) | −229.897 | − | 177.980i | −0.887635 | − | 0.687180i | ||||
\(260\) | 39.4454 | + | 139.842i | 0.151713 | + | 0.537854i | ||||
\(261\) | −18.6409 | + | 9.12678i | −0.0714210 | + | 0.0349685i | ||||
\(262\) | 45.4566 | + | 169.646i | 0.173498 | + | 0.647504i | ||||
\(263\) | −304.514 | + | 81.5944i | −1.15785 | + | 0.310245i | −0.786106 | − | 0.618091i | \(-0.787906\pi\) |
−0.371743 | + | 0.928336i | \(0.621240\pi\) | |||||||
\(264\) | −81.9262 | − | 153.799i | −0.310327 | − | 0.582574i | ||||
\(265\) | −44.8218 | + | 12.6429i | −0.169139 | + | 0.0477092i | ||||
\(266\) | 226.944 | + | 30.8693i | 0.853171 | + | 0.116050i | ||||
\(267\) | −99.6307 | + | 93.0484i | −0.373149 | + | 0.348496i | ||||
\(268\) | −47.5760 | − | 12.7479i | −0.177522 | − | 0.0475670i | ||||
\(269\) | 135.013 | + | 77.9500i | 0.501908 | + | 0.289777i | 0.729501 | − | 0.683980i | \(-0.239752\pi\) |
−0.227593 | + | 0.973756i | \(0.573086\pi\) | |||||||
\(270\) | 173.196 | − | 80.3308i | 0.641468 | − | 0.297522i | ||||
\(271\) | −348.826 | + | 201.395i | −1.28718 | + | 0.743154i | −0.978150 | − | 0.207899i | \(-0.933337\pi\) |
−0.309029 | + | 0.951052i | \(0.600004\pi\) | |||||||
\(272\) | −48.0509 | − | 48.0509i | −0.176658 | − | 0.176658i | ||||
\(273\) | −249.034 | + | 176.309i | −0.912212 | + | 0.645822i | ||||
\(274\) | 308.307i | 1.12521i | ||||||||
\(275\) | −451.217 | − | 244.946i | −1.64079 | − | 0.890711i | ||||
\(276\) | 67.5943 | − | 108.356i | 0.244907 | − | 0.392595i | ||||
\(277\) | 262.303 | − | 70.2839i | 0.946942 | − | 0.253732i | 0.247878 | − | 0.968791i | \(-0.420267\pi\) |
0.699064 | + | 0.715059i | \(0.253600\pi\) | |||||||
\(278\) | 81.1142 | + | 21.7345i | 0.291778 | + | 0.0781816i | ||||
\(279\) | 32.0953 | + | 2.19543i | 0.115037 | + | 0.00786893i | ||||
\(280\) | −91.1211 | + | 38.6904i | −0.325432 | + | 0.138180i | ||||
\(281\) | − | 337.916i | − | 1.20255i | −0.799043 | − | 0.601273i | \(-0.794660\pi\) | ||
0.799043 | − | 0.601273i | \(-0.205340\pi\) | |||||||
\(282\) | 15.2351 | − | 49.9673i | 0.0540253 | − | 0.177189i | ||||
\(283\) | 52.1704 | − | 13.9790i | 0.184348 | − | 0.0493958i | −0.165464 | − | 0.986216i | \(-0.552912\pi\) |
0.349812 | + | 0.936820i | \(0.386246\pi\) | |||||||
\(284\) | −80.4443 | + | 139.334i | −0.283255 | + | 0.490611i | ||||
\(285\) | −240.181 | − | 250.496i | −0.842740 | − | 0.878935i | ||||
\(286\) | − | 421.994i | − | 1.47550i | ||||||
\(287\) | −0.0725550 | + | 0.173058i | −0.000252805 | + | 0.000602991i | ||||
\(288\) | 33.4593 | + | 38.3729i | 0.116178 | + | 0.133239i | ||||
\(289\) | −0.336749 | + | 0.194422i | −0.00116522 | + | 0.000672741i | ||||
\(290\) | −15.8053 | − | 4.01338i | −0.0545010 | − | 0.0138392i | ||||
\(291\) | 189.909 | − | 304.432i | 0.652609 | − | 1.04616i | ||||
\(292\) | −275.860 | − | 73.9164i | −0.944725 | − | 0.253138i | ||||
\(293\) | −169.435 | + | 169.435i | −0.578275 | + | 0.578275i | −0.934428 | − | 0.356152i | \(-0.884088\pi\) |
0.356152 | + | 0.934428i | \(0.384088\pi\) | |||||||
\(294\) | −140.586 | − | 153.146i | −0.478183 | − | 0.520904i | ||||
\(295\) | −69.2934 | − | 38.8026i | −0.234893 | − | 0.131534i | ||||
\(296\) | −101.738 | + | 58.7383i | −0.343708 | + | 0.198440i | ||||
\(297\) | −547.463 | + | 87.9864i | −1.84331 | + | 0.296250i | ||||
\(298\) | 62.2767 | + | 232.420i | 0.208982 | + | 0.779932i | ||||
\(299\) | 267.836 | − | 154.635i | 0.895773 | − | 0.517175i | ||||
\(300\) | 144.578 | + | 39.9649i | 0.481927 | + | 0.133216i | ||||
\(301\) | −22.5166 | − | 55.0268i | −0.0748059 | − | 0.182813i | ||||
\(302\) | −31.7906 | + | 31.7906i | −0.105267 | + | 0.105267i | ||||
\(303\) | −136.540 | + | 447.815i | −0.450626 | + | 1.47794i | ||||
\(304\) | 46.2717 | − | 80.1450i | 0.152210 | − | 0.263635i | ||||
\(305\) | 208.315 | − | 123.945i | 0.683000 | − | 0.406378i | ||||
\(306\) | −194.201 | + | 95.0831i | −0.634645 | + | 0.310729i | ||||
\(307\) | −67.5728 | + | 67.5728i | −0.220107 | + | 0.220107i | −0.808543 | − | 0.588437i | \(-0.799744\pi\) |
0.588437 | + | 0.808543i | \(0.299744\pi\) | |||||||
\(308\) | 285.211 | − | 36.3040i | 0.926011 | − | 0.117870i | ||||
\(309\) | 9.16121 | − | 268.171i | 0.0296479 | − | 0.867867i | ||||
\(310\) | 18.1055 | + | 17.6362i | 0.0584048 | + | 0.0568910i | ||||
\(311\) | 254.040 | − | 440.010i | 0.816848 | − | 1.41482i | −0.0911453 | − | 0.995838i | \(-0.529053\pi\) |
0.907993 | − | 0.418985i | \(-0.137614\pi\) | |||||||
\(312\) | 27.8253 | + | 120.109i | 0.0891837 | + | 0.384965i | ||||
\(313\) | 43.7645 | − | 163.331i | 0.139823 | − | 0.521825i | −0.860109 | − | 0.510111i | \(-0.829604\pi\) |
0.999931 | − | 0.0117143i | \(-0.00372886\pi\) | |||||||
\(314\) | − | 390.332i | − | 1.24309i | ||||||
\(315\) | 22.4841 | + | 314.197i | 0.0713781 | + | 0.997449i | ||||
\(316\) | −52.6474 | −0.166606 | ||||||||
\(317\) | 440.523 | + | 118.038i | 1.38966 | + | 0.372359i | 0.874621 | − | 0.484806i | \(-0.161110\pi\) |
0.515041 | + | 0.857165i | \(0.327777\pi\) | |||||||
\(318\) | −38.4971 | + | 8.91849i | −0.121060 | + | 0.0280456i | ||||
\(319\) | 41.0152 | + | 23.6802i | 0.128574 | + | 0.0742324i | ||||
\(320\) | 0.525138 | + | 39.9966i | 0.00164106 | + | 0.124989i | ||||
\(321\) | 144.464 | + | 4.93516i | 0.450045 | + | 0.0153743i | ||||
\(322\) | 127.555 | + | 167.718i | 0.396132 | + | 0.520864i | ||||
\(323\) | 277.925 | + | 277.925i | 0.860448 | + | 0.860448i | ||||
\(324\) | 150.019 | − | 61.1414i | 0.463022 | − | 0.188708i | ||||
\(325\) | 263.510 | + | 250.022i | 0.810798 | + | 0.769299i | ||||
\(326\) | 365.416 | + | 210.973i | 1.12091 | + | 0.647156i | ||||
\(327\) | −107.882 | − | 32.8935i | −0.329915 | − | 0.100592i | ||||
\(328\) | 0.0536150 | + | 0.0536150i | 0.000163460 | + | 0.000163460i | ||||
\(329\) | 68.1523 | + | 52.7614i | 0.207150 | + | 0.160369i | ||||
\(330\) | −372.620 | − | 225.705i | −1.12915 | − | 0.683956i | ||||
\(331\) | 7.43125 | + | 12.8713i | 0.0224509 | + | 0.0388861i | 0.877033 | − | 0.480431i | \(-0.159520\pi\) |
−0.854582 | + | 0.519317i | \(0.826186\pi\) | |||||||
\(332\) | 228.692 | − | 61.2777i | 0.688830 | − | 0.184571i | ||||
\(333\) | 71.8822 | + | 366.832i | 0.215862 | + | 1.10160i | ||||
\(334\) | −26.5855 | − | 46.0474i | −0.0795973 | − | 0.137867i | ||||
\(335\) | −118.511 | + | 33.4286i | −0.353765 | + | 0.0997869i | ||||
\(336\) | −78.7840 | + | 29.1391i | −0.234476 | + | 0.0867236i | ||||
\(337\) | −296.408 | − | 296.408i | −0.879550 | − | 0.879550i | 0.113938 | − | 0.993488i | \(-0.463654\pi\) |
−0.993488 | + | 0.113938i | \(0.963654\pi\) | |||||||
\(338\) | −15.4161 | + | 57.5335i | −0.0456096 | + | 0.170217i | ||||
\(339\) | 182.871 | + | 114.078i | 0.539443 | + | 0.336513i | ||||
\(340\) | −164.660 | − | 41.8115i | −0.484294 | − | 0.122975i | ||||
\(341\) | −36.7038 | − | 63.5729i | −0.107636 | − | 0.186431i | ||||
\(342\) | −193.527 | − | 221.947i | −0.565870 | − | 0.648969i | ||||
\(343\) | 318.555 | − | 127.169i | 0.928731 | − | 0.370754i | ||||
\(344\) | −24.0236 | −0.0698360 | ||||||||
\(345\) | 6.71062 | − | 319.206i | 0.0194511 | − | 0.925236i | ||||
\(346\) | 150.092 | + | 86.6558i | 0.433793 | + | 0.250450i | ||||
\(347\) | −3.82705 | − | 14.2827i | −0.0110290 | − | 0.0411606i | 0.960192 | − | 0.279341i | \(-0.0901159\pi\) |
−0.971221 | + | 0.238180i | \(0.923449\pi\) | |||||||
\(348\) | −13.2353 | − | 4.03547i | −0.0380325 | − | 0.0115962i | ||||
\(349\) | −18.2453 | −0.0522787 | −0.0261393 | − | 0.999658i | \(-0.508321\pi\) | ||||
−0.0261393 | + | 0.999658i | \(0.508321\pi\) | |||||||
\(350\) | −146.312 | + | 199.607i | −0.418034 | + | 0.570304i | ||||
\(351\) | 390.250 | + | 40.1198i | 1.11182 | + | 0.114302i | ||||
\(352\) | 30.0677 | − | 112.214i | 0.0854196 | − | 0.318790i | ||||
\(353\) | −64.9344 | − | 242.338i | −0.183950 | − | 0.686511i | −0.994853 | − | 0.101330i | \(-0.967690\pi\) |
0.810903 | − | 0.585181i | \(-0.198977\pi\) | |||||||
\(354\) | −57.1756 | − | 35.6671i | −0.161513 | − | 0.100754i | ||||
\(355\) | 5.28055 | + | 402.187i | 0.0148748 | + | 1.13292i | ||||
\(356\) | −90.8828 | −0.255289 | ||||||||
\(357\) | −32.9385 | − | 355.236i | −0.0922647 | − | 0.995059i | ||||
\(358\) | 260.596 | − | 260.596i | 0.727921 | − | 0.727921i | ||||
\(359\) | 193.329 | + | 334.856i | 0.538522 | + | 0.932747i | 0.998984 | + | 0.0450678i | \(0.0143504\pi\) |
−0.460462 | + | 0.887679i | \(0.652316\pi\) | |||||||
\(360\) | 120.939 | + | 39.6712i | 0.335941 | + | 0.110198i | ||||
\(361\) | −87.1341 | + | 150.921i | −0.241369 | + | 0.418063i | ||||
\(362\) | 76.3637 | − | 284.993i | 0.210949 | − | 0.787274i | ||||
\(363\) | 615.838 | + | 659.403i | 1.69652 | + | 1.81654i | ||||
\(364\) | −201.562 | − | 27.4169i | −0.553742 | − | 0.0753212i | ||||
\(365\) | −687.164 | + | 193.829i | −1.88264 | + | 0.531038i | ||||
\(366\) | 181.534 | − | 96.6999i | 0.495994 | − | 0.264207i | ||||
\(367\) | 87.0699 | + | 324.949i | 0.237248 | + | 0.885420i | 0.977123 | + | 0.212676i | \(0.0682179\pi\) |
−0.739875 | + | 0.672744i | \(0.765115\pi\) | |||||||
\(368\) | 82.2394 | − | 22.0360i | 0.223477 | − | 0.0598804i | ||||
\(369\) | 0.216689 | − | 0.106093i | 0.000587233 | − | 0.000287516i | ||||
\(370\) | −143.494 | + | 256.250i | −0.387821 | + | 0.692568i | ||||
\(371\) | 8.78759 | − | 64.6042i | 0.0236862 | − | 0.174135i | ||||
\(372\) | 14.6386 | + | 15.6742i | 0.0393511 | + | 0.0421348i | ||||
\(373\) | −311.170 | − | 83.3778i | −0.834236 | − | 0.223533i | −0.183675 | − | 0.982987i | \(-0.558799\pi\) |
−0.650561 | + | 0.759454i | \(0.725466\pi\) | |||||||
\(374\) | 427.298 | + | 246.701i | 1.14251 | + | 0.659628i | ||||
\(375\) | 361.709 | − | 98.9531i | 0.964557 | − | 0.263875i | ||||
\(376\) | 30.1598 | − | 17.4128i | 0.0802122 | − | 0.0463105i | ||||
\(377\) | −23.6937 | − | 23.6937i | −0.0628480 | − | 0.0628480i | ||||
\(378\) | 6.45740 | + | 267.208i | 0.0170831 | + | 0.706900i | ||||
\(379\) | 55.5302i | 0.146518i | 0.997313 | + | 0.0732589i | \(0.0233399\pi\) | ||||
−0.997313 | + | 0.0732589i | \(0.976660\pi\) | |||||||
\(380\) | −3.03738 | − | 231.339i | −0.00799310 | − | 0.608786i | ||||
\(381\) | 419.529 | + | 261.709i | 1.10113 | + | 0.686900i | ||||
\(382\) | −124.742 | + | 33.4246i | −0.326550 | + | 0.0874988i | ||||
\(383\) | 91.7762 | + | 24.5913i | 0.239624 | + | 0.0642072i | 0.376632 | − | 0.926363i | \(-0.377082\pi\) |
−0.137008 | + | 0.990570i | \(0.543749\pi\) | |||||||
\(384\) | −1.15881 | + | 33.9213i | −0.00301775 | + | 0.0883368i | ||||
\(385\) | 566.359 | − | 442.588i | 1.47106 | − | 1.14958i | ||||
\(386\) | 189.496i | 0.490922i | ||||||||
\(387\) | −24.7777 | + | 72.3156i | −0.0640250 | + | 0.186862i | ||||
\(388\) | 231.055 | − | 61.9111i | 0.595504 | − | 0.159565i | ||||
\(389\) | −53.5232 | + | 92.7050i | −0.137592 | + | 0.238316i | −0.926585 | − | 0.376086i | \(-0.877270\pi\) |
0.788993 | + | 0.614403i | \(0.210603\pi\) | |||||||
\(390\) | 213.319 | + | 222.481i | 0.546972 | + | 0.570464i | ||||
\(391\) | 361.604i | 0.924818i | ||||||||
\(392\) | 1.18984 | − | 138.588i | 0.00303531 | − | 0.353540i | ||||
\(393\) | 254.298 | + | 272.287i | 0.647068 | + | 0.692842i | ||||
\(394\) | 350.971 | − | 202.633i | 0.890790 | − | 0.514298i | ||||
\(395\) | −113.111 | + | 67.3000i | −0.286357 | + | 0.170380i | ||||
\(396\) | −306.774 | − | 206.246i | −0.774683 | − | 0.520823i | ||||
\(397\) | −352.714 | − | 94.5094i | −0.888449 | − | 0.238059i | −0.214400 | − | 0.976746i | \(-0.568780\pi\) |
−0.674049 | + | 0.738687i | \(0.735446\pi\) | |||||||
\(398\) | 33.4189 | − | 33.4189i | 0.0839670 | − | 0.0839670i | ||||
\(399\) | 455.684 | − | 168.540i | 1.14206 | − | 0.422405i | ||||
\(400\) | 52.2565 | + | 85.2600i | 0.130641 | + | 0.213150i | ||||
\(401\) | 292.445 | − | 168.843i | 0.729289 | − | 0.421055i | −0.0888730 | − | 0.996043i | \(-0.528327\pi\) |
0.818162 | + | 0.574988i | \(0.194993\pi\) | |||||||
\(402\) | −101.788 | + | 23.5810i | −0.253205 | + | 0.0586591i | ||||
\(403\) | 13.4422 | + | 50.1671i | 0.0333554 | + | 0.124484i | ||||
\(404\) | −270.297 | + | 156.056i | −0.669051 | + | 0.386277i | ||||
\(405\) | 244.153 | − | 323.132i | 0.602847 | − | 0.797857i | ||||
\(406\) | 13.9754 | − | 18.0521i | 0.0344222 | − | 0.0444634i | ||||
\(407\) | 603.143 | − | 603.143i | 1.48192 | − | 1.48192i | ||||
\(408\) | −137.886 | − | 42.0417i | −0.337955 | − | 0.103043i | ||||
\(409\) | −82.5496 | + | 142.980i | −0.201833 | + | 0.349585i | −0.949119 | − | 0.314918i | \(-0.898023\pi\) |
0.747286 | + | 0.664502i | \(0.231356\pi\) | |||||||
\(410\) | 0.183727 | + | 0.0466531i | 0.000448114 | + | 0.000113788i | ||||
\(411\) | 307.481 | + | 577.231i | 0.748128 | + | 1.40446i | ||||
\(412\) | 126.491 | − | 126.491i | 0.307016 | − | 0.307016i | ||||
\(413\) | 88.4988 | − | 67.3060i | 0.214283 | − | 0.162968i | ||||
\(414\) | 18.4884 | − | 270.284i | 0.0446579 | − | 0.652860i | ||||
\(415\) | 413.004 | − | 423.993i | 0.995190 | − | 1.02167i | ||||
\(416\) | −41.0967 | + | 71.1816i | −0.0987902 | + | 0.171110i | ||||
\(417\) | 173.543 | − | 40.2041i | 0.416170 | − | 0.0964128i | ||||
\(418\) | −173.910 | + | 649.043i | −0.416054 | + | 1.55273i | ||||
\(419\) | 190.349i | 0.454294i | 0.973860 | + | 0.227147i | \(0.0729398\pi\) | ||||
−0.973860 | + | 0.227147i | \(0.927060\pi\) | |||||||
\(420\) | −132.016 | + | 163.315i | −0.314323 | + | 0.388846i | ||||
\(421\) | 455.861 | 1.08280 | 0.541402 | − | 0.840764i | \(-0.317894\pi\) | ||||
0.541402 | + | 0.840764i | \(0.317894\pi\) | |||||||
\(422\) | −223.979 | − | 60.0150i | −0.530756 | − | 0.142216i | ||||
\(423\) | −21.3092 | − | 108.746i | −0.0503764 | − | 0.257083i | ||||
\(424\) | −22.8149 | − | 13.1722i | −0.0538088 | − | 0.0310665i | ||||
\(425\) | −407.215 | + | 120.657i | −0.958152 | + | 0.283899i | ||||
\(426\) | −11.6525 | + | 341.097i | −0.0273533 | + | 0.800698i | ||||
\(427\) | 42.8506 | + | 336.643i | 0.100353 | + | 0.788392i | ||||
\(428\) | 68.1408 | + | 68.1408i | 0.159208 | + | 0.159208i | ||||
\(429\) | −420.862 | − | 790.081i | −0.981031 | − | 1.84168i | ||||
\(430\) | −51.6139 | + | 30.7097i | −0.120032 | + | 0.0714180i | ||||
\(431\) | −632.551 | − | 365.204i | −1.46764 | − | 0.847340i | −0.468293 | − | 0.883573i | \(-0.655131\pi\) |
−0.999343 | + | 0.0362332i | \(0.988464\pi\) | |||||||
\(432\) | 100.914 | + | 38.4743i | 0.233598 | + | 0.0890610i | ||||
\(433\) | −457.462 | − | 457.462i | −1.05649 | − | 1.05649i | −0.998306 | − | 0.0581890i | \(-0.981467\pi\) |
−0.0581890 | − | 0.998306i | \(-0.518533\pi\) | |||||||
\(434\) | −32.7498 | + | 13.4010i | −0.0754604 | + | 0.0308779i | ||||
\(435\) | −33.5942 | + | 8.24883i | −0.0772280 | + | 0.0189628i | ||||
\(436\) | −37.5951 | − | 65.1167i | −0.0862274 | − | 0.149350i | ||||
\(437\) | −475.670 | + | 127.455i | −1.08849 | + | 0.291660i | ||||
\(438\) | −590.199 | + | 136.730i | −1.34749 | + | 0.312168i | ||||
\(439\) | −66.0824 | − | 114.458i | −0.150529 | − | 0.260724i | 0.780893 | − | 0.624665i | \(-0.214764\pi\) |
−0.931422 | + | 0.363941i | \(0.881431\pi\) | |||||||
\(440\) | −78.8457 | − | 279.524i | −0.179195 | − | 0.635283i | ||||
\(441\) | −415.948 | − | 146.520i | −0.943193 | − | 0.332244i | ||||
\(442\) | −246.842 | − | 246.842i | −0.558465 | − | 0.558465i | ||||
\(443\) | −133.862 | + | 499.578i | −0.302171 | + | 1.12772i | 0.633183 | + | 0.774002i | \(0.281748\pi\) |
−0.935354 | + | 0.353714i | \(0.884919\pi\) | |||||||
\(444\) | −131.898 | + | 211.438i | −0.297069 | + | 0.476212i | ||||
\(445\) | −195.259 | + | 116.177i | −0.438783 | + | 0.261072i | ||||
\(446\) | −158.312 | − | 274.204i | −0.354959 | − | 0.614808i | ||||
\(447\) | 348.395 | + | 373.040i | 0.779407 | + | 0.834542i | ||||
\(448\) | −51.6448 | − | 21.6522i | −0.115279 | − | 0.0483307i | ||||
\(449\) | 69.6440 | 0.155109 | 0.0775546 | − | 0.996988i | \(-0.475289\pi\) | ||||
0.0775546 | + | 0.996988i | \(0.475289\pi\) | |||||||
\(450\) | 310.545 | − | 69.3657i | 0.690101 | − | 0.154146i | ||||
\(451\) | −0.476777 | − | 0.275268i | −0.00105716 | − | 0.000610349i | ||||
\(452\) | 37.1899 | + | 138.794i | 0.0822784 | + | 0.307067i | ||||
\(453\) | −27.8149 | + | 91.2256i | −0.0614015 | + | 0.201381i | ||||
\(454\) | −538.687 | −1.18654 | ||||||||
\(455\) | −468.097 | + | 198.756i | −1.02878 | + | 0.436826i | ||||
\(456\) | 6.70254 | − | 196.200i | 0.0146986 | − | 0.430263i | ||||
\(457\) | −15.1658 | + | 56.5997i | −0.0331857 | + | 0.123851i | −0.980532 | − | 0.196361i | \(-0.937087\pi\) |
0.947346 | + | 0.320212i | \(0.103754\pi\) | |||||||
\(458\) | −25.8280 | − | 96.3916i | −0.0563931 | − | 0.210462i | ||||
\(459\) | −268.767 | + | 371.701i | −0.585550 | + | 0.809806i | ||||
\(460\) | 148.520 | − | 152.472i | 0.322869 | − | 0.331460i | ||||
\(461\) | 479.196 | 1.03947 | 0.519735 | − | 0.854327i | \(-0.326031\pi\) | ||||
0.519735 | + | 0.854327i | \(0.326031\pi\) | |||||||
\(462\) | 497.783 | − | 352.417i | 1.07745 | − | 0.762808i | ||||
\(463\) | −43.4920 | + | 43.4920i | −0.0939351 | + | 0.0939351i | −0.752513 | − | 0.658578i | \(-0.771158\pi\) |
0.658578 | + | 0.752513i | \(0.271158\pi\) | |||||||
\(464\) | −4.61228 | − | 7.98870i | −0.00994026 | − | 0.0172170i | ||||
\(465\) | 51.4871 | + | 14.9626i | 0.110725 | + | 0.0321777i | ||||
\(466\) | 248.815 | − | 430.960i | 0.533938 | − | 0.924807i | ||||
\(467\) | −96.9891 | + | 361.968i | −0.207686 | + | 0.775093i | 0.780929 | + | 0.624620i | \(0.214746\pi\) |
−0.988614 | + | 0.150473i | \(0.951920\pi\) | |||||||
\(468\) | 171.883 | + | 197.125i | 0.367272 | + | 0.421207i | ||||
\(469\) | 23.2349 | − | 170.817i | 0.0495413 | − | 0.364215i | ||||
\(470\) | 42.5383 | − | 75.9645i | 0.0905070 | − | 0.161627i | ||||
\(471\) | −389.285 | − | 730.802i | −0.826508 | − | 1.55160i | ||||
\(472\) | −11.6276 | − | 43.3948i | −0.0246347 | − | 0.0919381i | ||||
\(473\) | 168.487 | − | 45.1459i | 0.356209 | − | 0.0954458i | ||||
\(474\) | −98.5696 | + | 52.5063i | −0.207953 | + | 0.110773i | ||||
\(475\) | −302.250 | − | 493.141i | −0.636315 | − | 1.03819i | ||||
\(476\) | 145.596 | − | 188.068i | 0.305875 | − | 0.395100i | ||||
\(477\) | −63.1819 | + | 55.0916i | −0.132457 | + | 0.115496i | ||||
\(478\) | −347.604 | − | 93.1402i | −0.727205 | − | 0.194854i | ||||
\(479\) | −95.9666 | − | 55.4064i | −0.200348 | − | 0.115671i | 0.396470 | − | 0.918048i | \(-0.370235\pi\) |
−0.596818 | + | 0.802377i | \(0.703568\pi\) | |||||||
\(480\) | 40.8725 | + | 74.3602i | 0.0851511 | + | 0.154917i | ||||
\(481\) | −522.635 | + | 301.744i | −1.08656 | + | 0.627326i | ||||
\(482\) | 273.732 | + | 273.732i | 0.567908 | + | 0.567908i | ||||
\(483\) | 406.084 | + | 186.799i | 0.840753 | + | 0.386748i | ||||
\(484\) | 601.505i | 1.24278i | ||||||||
\(485\) | 417.273 | − | 428.376i | 0.860357 | − | 0.883249i | ||||
\(486\) | 219.897 | − | 264.090i | 0.452463 | − | 0.543394i | ||||
\(487\) | −542.192 | + | 145.280i | −1.11333 | + | 0.298316i | −0.768181 | − | 0.640232i | \(-0.778838\pi\) |
−0.345148 | + | 0.938548i | \(0.612171\pi\) | |||||||
\(488\) | 132.450 | + | 35.4898i | 0.271413 | + | 0.0727249i | ||||
\(489\) | 894.561 | + | 30.5598i | 1.82937 | + | 0.0624945i | ||||
\(490\) | −174.603 | − | 299.272i | −0.356332 | − | 0.610760i | ||||
\(491\) | 903.210i | 1.83953i | 0.392468 | + | 0.919765i | \(0.371621\pi\) | ||||
−0.392468 | + | 0.919765i | \(0.628379\pi\) | |||||||
\(492\) | 0.153852 | + | 0.0469099i | 0.000312708 | + | 9.53453e-5i | ||||
\(493\) | 37.8430 | − | 10.1400i | 0.0767607 | − | 0.0205680i | ||||
\(494\) | 237.702 | − | 411.712i | 0.481178 | − | 0.833425i | ||||
\(495\) | −922.742 | − | 50.9577i | −1.86412 | − | 0.102945i | ||||
\(496\) | 14.2979i | 0.0288264i | ||||||||
\(497\) | −519.316 | − | 217.724i | −1.04490 | − | 0.438077i | ||||
\(498\) | 367.056 | − | 342.806i | 0.737061 | − | 0.688366i | ||||
\(499\) | −569.357 | + | 328.719i | −1.14100 | + | 0.658755i | −0.946677 | − | 0.322184i | \(-0.895583\pi\) |
−0.194319 | + | 0.980938i | \(0.562250\pi\) | |||||||
\(500\) | 221.260 | + | 116.378i | 0.442521 | + | 0.232756i | ||||
\(501\) | −95.6989 | − | 59.6985i | −0.191016 | − | 0.119159i | ||||
\(502\) | −260.943 | − | 69.9195i | −0.519807 | − | 0.139282i | ||||
\(503\) | 575.210 | − | 575.210i | 1.14356 | − | 1.14356i | 0.155763 | − | 0.987794i | \(-0.450216\pi\) |
0.987794 | − | 0.155763i | \(-0.0497838\pi\) | |||||||
\(504\) | −118.443 | + | 133.129i | −0.235006 | + | 0.264144i | ||||
\(505\) | −381.235 | + | 680.806i | −0.754920 | + | 1.34813i | ||||
\(506\) | −535.366 | + | 309.094i | −1.05804 | + | 0.610857i | ||||
\(507\) | 28.5164 | + | 123.092i | 0.0562454 | + | 0.242786i | ||||
\(508\) | 85.3181 | + | 318.411i | 0.167949 | + | 0.626794i | ||||
\(509\) | −101.767 | + | 58.7554i | −0.199936 | + | 0.115433i | −0.596626 | − | 0.802520i | \(-0.703492\pi\) |
0.396690 | + | 0.917953i | \(0.370159\pi\) | |||||||
\(510\) | −349.986 | + | 85.9366i | −0.686246 | + | 0.168503i | ||||
\(511\) | 134.723 | − | 990.448i | 0.263645 | − | 1.93825i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −583.686 | − | 222.534i | −1.13779 | − | 0.433790i | ||||
\(514\) | −144.243 | + | 249.837i | −0.280629 | + | 0.486064i | ||||
\(515\) | 110.066 | − | 433.456i | 0.213720 | − | 0.841663i | ||||
\(516\) | −44.9784 | + | 23.9592i | −0.0871674 | + | 0.0464325i | ||||
\(517\) | −178.800 | + | 178.800i | −0.345841 | + | 0.345841i | ||||
\(518\) | −248.901 | − | 327.273i | −0.480503 | − | 0.631801i | ||||
\(519\) | 367.435 | + | 12.5523i | 0.707968 | + | 0.0241855i | ||||
\(520\) | 2.69768 | + | 205.466i | 0.00518785 | + | 0.395127i | ||||
\(521\) | 30.0102 | − | 51.9791i | 0.0576011 | − | 0.0997680i | −0.835787 | − | 0.549054i | \(-0.814988\pi\) |
0.893388 | + | 0.449286i | \(0.148322\pi\) | |||||||
\(522\) | −28.8046 | + | 5.64437i | −0.0551811 | + | 0.0108130i | ||||
\(523\) | 61.1814 | − | 228.332i | 0.116982 | − | 0.436582i | −0.882446 | − | 0.470414i | \(-0.844105\pi\) |
0.999428 | + | 0.0338324i | \(0.0107712\pi\) | |||||||
\(524\) | 248.379i | 0.474006i | ||||||||
\(525\) | −74.8626 | + | 519.635i | −0.142595 | + | 0.989781i | ||||
\(526\) | −445.840 | −0.847604 | ||||||||
\(527\) | −58.6561 | − | 15.7169i | −0.111302 | − | 0.0298232i | ||||
\(528\) | −55.6188 | − | 240.081i | −0.105339 | − | 0.454699i | ||||
\(529\) | 65.7686 | + | 37.9715i | 0.124326 | + | 0.0717798i | ||||
\(530\) | −65.8554 | + | 0.864653i | −0.124255 | + | 0.00163142i | ||||
\(531\) | −142.619 | − | 9.75564i | −0.268586 | − | 0.0183722i | ||||
\(532\) | 298.712 | + | 125.235i | 0.561488 | + | 0.235405i | ||||
\(533\) | 0.275425 | + | 0.275425i | 0.000516745 | + | 0.000516745i | ||||
\(534\) | −170.156 | + | 90.6392i | −0.318644 | + | 0.169736i | ||||
\(535\) | 233.504 | + | 59.2928i | 0.436456 | + | 0.110828i | ||||
\(536\) | −60.3239 | − | 34.8280i | −0.112545 | − | 0.0649777i | ||||
\(537\) | 228.006 | − | 747.800i | 0.424591 | − | 1.39255i | ||||
\(538\) | 155.900 | + | 155.900i | 0.289777 | + | 0.289777i | ||||
\(539\) | 252.094 | + | 974.206i | 0.467706 | + | 1.80743i | ||||
\(540\) | 265.994 | − | 46.3397i | 0.492581 | − | 0.0858143i | ||||
\(541\) | −211.663 | − | 366.611i | −0.391244 | − | 0.677655i | 0.601370 | − | 0.798971i | \(-0.294622\pi\) |
−0.992614 | + | 0.121316i | \(0.961289\pi\) | |||||||
\(542\) | −550.220 | + | 147.431i | −1.01517 | + | 0.272013i | ||||
\(543\) | −141.257 | − | 609.740i | −0.260141 | − | 1.12291i | ||||
\(544\) | −48.0509 | − | 83.2266i | −0.0883289 | − | 0.152990i | ||||
\(545\) | −164.012 | − | 91.8425i | −0.300939 | − | 0.168518i | ||||
\(546\) | −404.720 | + | 149.690i | −0.741246 | + | 0.274158i | ||||
\(547\) | 459.383 | + | 459.383i | 0.839823 | + | 0.839823i | 0.988835 | − | 0.149013i | \(-0.0476095\pi\) |
−0.149013 | + | 0.988835i | \(0.547610\pi\) | |||||||
\(548\) | −112.848 | + | 421.156i | −0.205928 | + | 0.768532i | ||||
\(549\) | 243.438 | − | 362.095i | 0.443421 | − | 0.659553i | ||||
\(550\) | −526.718 | − | 499.759i | −0.957669 | − | 0.908652i | ||||
\(551\) | 26.6773 | + | 46.2064i | 0.0484161 | + | 0.0838591i | ||||
\(552\) | 131.997 | − | 123.276i | 0.239124 | − | 0.223326i | ||||
\(553\) | −23.2671 | − | 182.791i | −0.0420743 | − | 0.330544i | ||||
\(554\) | 384.038 | 0.693210 | ||||||||
\(555\) | −13.0946 | + | 622.876i | −0.0235939 | + | 1.12230i | ||||
\(556\) | 102.849 | + | 59.3797i | 0.184980 | + | 0.106798i | ||||
\(557\) | 168.106 | + | 627.381i | 0.301806 | + | 1.12636i | 0.935660 | + | 0.352904i | \(0.114806\pi\) |
−0.633853 | + | 0.773453i | \(0.718528\pi\) | |||||||
\(558\) | 43.0394 | + | 14.7467i | 0.0771316 | + | 0.0264278i | ||||
\(559\) | −123.411 | −0.220772 | ||||||||
\(560\) | −138.635 | + | 19.4994i | −0.247563 | + | 0.0348204i | ||||
\(561\) | 1046.05 | + | 35.7350i | 1.86462 | + | 0.0636988i | ||||
\(562\) | 123.686 | − | 461.601i | 0.220081 | − | 0.821355i | ||||
\(563\) | −91.3244 | − | 340.827i | −0.162210 | − | 0.605377i | −0.998380 | − | 0.0569055i | \(-0.981877\pi\) |
0.836169 | − | 0.548471i | \(-0.184790\pi\) | |||||||
\(564\) | 39.1009 | − | 62.6801i | 0.0693278 | − | 0.111135i | ||||
\(565\) | 257.324 | + | 250.655i | 0.455441 | + | 0.443637i | ||||
\(566\) | 76.3827 | 0.134952 | ||||||||
\(567\) | 278.582 | + | 493.843i | 0.491326 | + | 0.870976i | ||||
\(568\) | −160.889 | + | 160.889i | −0.283255 | + | 0.283255i | ||||
\(569\) | −395.579 | − | 685.164i | −0.695219 | − | 1.20415i | −0.970107 | − | 0.242678i | \(-0.921974\pi\) |
0.274888 | − | 0.961476i | \(-0.411359\pi\) | |||||||
\(570\) | −236.405 | − | 430.097i | −0.414746 | − | 0.754556i | ||||
\(571\) | −292.476 | + | 506.583i | −0.512216 | + | 0.887185i | 0.487683 | + | 0.873021i | \(0.337842\pi\) |
−0.999900 | + | 0.0141642i | \(0.995491\pi\) | |||||||
\(572\) | 154.460 | − | 576.454i | 0.270036 | − | 1.00779i | ||||
\(573\) | −200.215 | + | 186.987i | −0.349415 | + | 0.326330i | ||||
\(574\) | −0.162456 | + | 0.209845i | −0.000283024 | + | 0.000365584i | ||||
\(575\) | 124.183 | − | 517.435i | 0.215970 | − | 0.899887i | ||||
\(576\) | 31.6608 | + | 64.6652i | 0.0549667 | + | 0.112266i | ||||
\(577\) | −81.0131 | − | 302.345i | −0.140404 | − | 0.523995i | −0.999917 | − | 0.0128809i | \(-0.995900\pi\) |
0.859513 | − | 0.511114i | \(-0.170767\pi\) | |||||||
\(578\) | −0.531171 | + | 0.142327i | −0.000918982 | + | 0.000246240i | ||||
\(579\) | 188.988 | + | 354.786i | 0.326404 | + | 0.612756i | ||||
\(580\) | −20.1214 | − | 11.2675i | −0.0346921 | − | 0.0194267i | ||||
\(581\) | 313.824 | + | 766.933i | 0.540144 | + | 1.32002i | ||||
\(582\) | 370.851 | − | 346.350i | 0.637200 | − | 0.595103i | ||||
\(583\) | 184.764 | + | 49.5072i | 0.316919 | + | 0.0849181i | ||||
\(584\) | −349.776 | − | 201.943i | −0.598932 | − | 0.345793i | ||||
\(585\) | 621.273 | + | 203.795i | 1.06201 | + | 0.348367i | ||||
\(586\) | −293.469 | + | 169.435i | −0.500801 | + | 0.289138i | ||||
\(587\) | 236.641 | + | 236.641i | 0.403136 | + | 0.403136i | 0.879337 | − | 0.476201i | \(-0.157986\pi\) |
−0.476201 | + | 0.879337i | \(0.657986\pi\) | |||||||
\(588\) | −135.989 | − | 260.659i | −0.231273 | − | 0.443298i | ||||
\(589\) | − | 82.6987i | − | 0.140405i | ||||||
\(590\) | −80.4538 | − | 78.3685i | −0.136362 | − | 0.132828i | ||||
\(591\) | 455.019 | − | 729.413i | 0.769914 | − | 1.23420i | ||||
\(592\) | −160.476 | + | 42.9994i | −0.271074 | + | 0.0726341i | ||||
\(593\) | −739.912 | − | 198.259i | −1.24774 | − | 0.334332i | −0.426280 | − | 0.904591i | \(-0.640176\pi\) |
−0.821465 | + | 0.570259i | \(0.806843\pi\) | |||||||
\(594\) | −780.054 | − | 80.1938i | −1.31322 | − | 0.135006i | ||||
\(595\) | 72.3988 | − | 590.175i | 0.121679 | − | 0.991892i | ||||
\(596\) | 340.286i | 0.570950i | ||||||||
\(597\) | 29.2395 | − | 95.8981i | 0.0489774 | − | 0.160633i | ||||
\(598\) | 422.471 | − | 113.201i | 0.706474 | − | 0.189299i | ||||
\(599\) | 353.328 | − | 611.982i | 0.589863 | − | 1.02167i | −0.404387 | − | 0.914588i | \(-0.632515\pi\) |
0.994250 | − | 0.107085i | \(-0.0341516\pi\) | |||||||
\(600\) | 182.869 | + | 107.512i | 0.304782 | + | 0.179187i | ||||
\(601\) | 736.670i | 1.22574i | 0.790184 | + | 0.612870i | \(0.209985\pi\) | ||||
−0.790184 | + | 0.612870i | \(0.790015\pi\) | |||||||
\(602\) | −10.6170 | − | 83.4096i | −0.0176363 | − | 0.138554i | ||||
\(603\) | −167.056 | + | 145.665i | −0.277042 | + | 0.241567i | ||||
\(604\) | −55.0629 | + | 31.7906i | −0.0911638 | + | 0.0526334i | ||||
\(605\) | 768.914 | + | 1292.31i | 1.27093 | + | 2.13605i | ||||
\(606\) | −350.428 | + | 561.749i | −0.578264 | + | 0.926979i | ||||
\(607\) | 136.772 | + | 36.6480i | 0.225325 | + | 0.0603757i | 0.369715 | − | 0.929145i | \(-0.379455\pi\) |
−0.144390 | + | 0.989521i | \(0.546122\pi\) | |||||||
\(608\) | 92.5434 | − | 92.5434i | 0.152210 | − | 0.152210i | ||||
\(609\) | 8.16186 | − | 47.7362i | 0.0134021 | − | 0.0783846i | ||||
\(610\) | 329.931 | − | 93.0639i | 0.540870 | − | 0.152564i | ||||
\(611\) | 154.934 | − | 89.4509i | 0.253574 | − | 0.146401i | ||||
\(612\) | −300.087 | + | 58.8033i | −0.490338 | + | 0.0960838i | ||||
\(613\) | −58.7148 | − | 219.126i | −0.0957826 | − | 0.357466i | 0.901354 | − | 0.433082i | \(-0.142574\pi\) |
−0.997137 | + | 0.0756168i | \(0.975907\pi\) | |||||||
\(614\) | −117.040 | + | 67.5728i | −0.190618 | + | 0.110053i | ||||
\(615\) | 0.390512 | − | 0.0958877i | 0.000634979 | − | 0.000155915i | ||||
\(616\) | 402.894 | + | 54.8025i | 0.654049 | + | 0.0889650i | ||||
\(617\) | 89.4983 | − | 89.4983i | 0.145054 | − | 0.145054i | −0.630850 | − | 0.775904i | \(-0.717294\pi\) |
0.775904 | + | 0.630850i | \(0.217294\pi\) | |||||||
\(618\) | 110.672 | − | 362.975i | 0.179081 | − | 0.587339i | ||||
\(619\) | 187.806 | − | 325.289i | 0.303402 | − | 0.525508i | −0.673502 | − | 0.739185i | \(-0.735211\pi\) |
0.976904 | + | 0.213677i | \(0.0685441\pi\) | |||||||
\(620\) | 18.2773 | + | 30.7186i | 0.0294794 | + | 0.0495461i | ||||
\(621\) | −234.944 | − | 524.480i | −0.378332 | − | 0.844574i | ||||
\(622\) | 508.079 | − | 508.079i | 0.816848 | − | 0.816848i | ||||
\(623\) | −40.1649 | − | 315.544i | −0.0644702 | − | 0.506491i | ||||
\(624\) | −5.95293 | + | 174.257i | −0.00953996 | + | 0.279258i | ||||
\(625\) | 624.138 | − | 32.8070i | 0.998621 | − | 0.0524912i | ||||
\(626\) | 119.567 | − | 207.096i | 0.191001 | − | 0.330824i | ||||
\(627\) | 321.697 | + | 1388.62i | 0.513074 | + | 2.21471i | ||||
\(628\) | 142.871 | − | 533.203i | 0.227502 | − | 0.849049i | ||||
\(629\) | − | 705.607i | − | 1.12179i | ||||||
\(630\) | −84.2901 | + | 437.430i | −0.133794 | + | 0.694334i | ||||
\(631\) | −602.534 | −0.954888 | −0.477444 | − | 0.878662i | \(-0.658437\pi\) | ||||
−0.477444 | + | 0.878662i | \(0.658437\pi\) | |||||||
\(632\) | −71.9177 | − | 19.2703i | −0.113794 | − | 0.0304910i | ||||
\(633\) | −479.201 | + | 111.015i | −0.757032 | + | 0.175379i | ||||
\(634\) | 558.561 | + | 322.485i | 0.881011 | + | 0.508652i | ||||
\(635\) | 590.333 | + | 575.033i | 0.929659 | + | 0.905563i | ||||
\(636\) | −55.8524 | − | 1.90802i | −0.0878182 | − | 0.00300003i | ||||
\(637\) | 6.11231 | − | 711.938i | 0.00959547 | − | 1.11764i | ||||
\(638\) | 47.3603 | + | 47.3603i | 0.0742324 | + | 0.0742324i | ||||
\(639\) | 318.366 | + | 650.244i | 0.498226 | + | 1.01760i | ||||
\(640\) | −13.9224 | + | 54.8285i | −0.0217538 | + | 0.0856696i | ||||
\(641\) | −372.428 | − | 215.022i | −0.581011 | − | 0.335447i | 0.180524 | − | 0.983571i | \(-0.442221\pi\) |
−0.761535 | + | 0.648124i | \(0.775554\pi\) | |||||||
\(642\) | 195.535 | + | 59.6192i | 0.304572 | + | 0.0928647i | ||||
\(643\) | −626.656 | − | 626.656i | −0.974581 | − | 0.974581i | 0.0251036 | − | 0.999685i | \(-0.492008\pi\) |
−0.999685 | + | 0.0251036i | \(0.992008\pi\) | |||||||
\(644\) | 112.854 | + | 275.796i | 0.175239 | + | 0.428254i | ||||
\(645\) | −66.0071 | + | 108.972i | −0.102337 | + | 0.168949i | ||||
\(646\) | 277.925 | + | 481.380i | 0.430224 | + | 0.745170i | ||||
\(647\) | 260.681 | − | 69.8492i | 0.402907 | − | 0.107959i | −0.0516740 | − | 0.998664i | \(-0.516456\pi\) |
0.454581 | + | 0.890705i | \(0.349789\pi\) | |||||||
\(648\) | 227.309 | − | 28.6100i | 0.350786 | − | 0.0441512i | ||||
\(649\) | 163.098 | + | 282.493i | 0.251306 | + | 0.435275i | ||||
\(650\) | 268.446 | + | 437.988i | 0.412994 | + | 0.673828i | ||||
\(651\) | −47.9510 | + | 57.7521i | −0.0736575 | + | 0.0887130i | ||||
\(652\) | 421.946 | + | 421.946i | 0.647156 | + | 0.647156i | ||||
\(653\) | −5.13649 | + | 19.1696i | −0.00786598 | + | 0.0293563i | −0.969747 | − | 0.244111i | \(-0.921504\pi\) |
0.961881 | + | 0.273467i | \(0.0881705\pi\) | |||||||
\(654\) | −135.330 | − | 84.4210i | −0.206927 | − | 0.129084i | ||||
\(655\) | 317.507 | + | 533.634i | 0.484744 | + | 0.814709i | ||||
\(656\) | 0.0536150 | + | 0.0928639i | 8.17301e−5 | + | 0.000141561i | ||||
\(657\) | −968.643 | + | 844.610i | −1.47434 | + | 1.28556i | ||||
\(658\) | 73.7858 | + | 97.0190i | 0.112136 | + | 0.147445i | ||||
\(659\) | −1042.32 | −1.58167 | −0.790834 | − | 0.612031i | \(-0.790353\pi\) | ||||
−0.790834 | + | 0.612031i | \(0.790353\pi\) | |||||||
\(660\) | −426.395 | − | 444.708i | −0.646052 | − | 0.673799i | ||||
\(661\) | −577.967 | − | 333.689i | −0.874383 | − | 0.504825i | −0.00558050 | − | 0.999984i | \(-0.501776\pi\) |
−0.868802 | + | 0.495159i | \(0.835110\pi\) | |||||||
\(662\) | 5.44005 | + | 20.3025i | 0.00821760 | + | 0.0306685i | ||||
\(663\) | −708.332 | − | 215.972i | −1.06837 | − | 0.325749i | ||||
\(664\) | 334.828 | 0.504258 | ||||||||
\(665\) | 801.862 | − | 112.784i | 1.20581 | − | 0.169600i | ||||
\(666\) | −36.0768 | + | 527.412i | −0.0541694 | + | 0.791910i | ||||
\(667\) | −12.7045 | + | 47.4139i | −0.0190473 | + | 0.0710853i | ||||
\(668\) | −19.4619 | − | 72.6329i | −0.0291346 | − | 0.108732i | ||||
\(669\) | −569.870 | − | 355.494i | −0.851823 | − | 0.531381i | ||||
\(670\) | −174.125 | + | 2.28619i | −0.259888 | + | 0.00341222i | ||||
\(671\) | −995.614 | −1.48378 | ||||||||
\(672\) | −118.287 | + | 10.9679i | −0.176022 | + | 0.0163212i | ||||
\(673\) | 479.306 | − | 479.306i | 0.712193 | − | 0.712193i | −0.254800 | − | 0.966994i | \(-0.582010\pi\) |
0.966994 | + | 0.254800i | \(0.0820097\pi\) | |||||||
\(674\) | −296.408 | − | 513.394i | −0.439775 | − | 0.761713i | ||||
\(675\) | 512.242 | − | 439.583i | 0.758876 | − | 0.651235i | ||||
\(676\) | −42.1174 | + | 72.9495i | −0.0623039 | + | 0.107914i | ||||
\(677\) | 17.6567 | − | 65.8959i | 0.0260809 | − | 0.0973351i | −0.951659 | − | 0.307158i | \(-0.900622\pi\) |
0.977739 | + | 0.209823i | \(0.0672887\pi\) | |||||||
\(678\) | 208.051 | + | 222.769i | 0.306860 | + | 0.328568i | ||||
\(679\) | 317.068 | + | 774.860i | 0.466963 | + | 1.14118i | ||||
\(680\) | −209.626 | − | 117.385i | −0.308273 | − | 0.172625i | ||||
\(681\) | −1008.56 | + | 537.243i | −1.48100 | + | 0.788903i | ||||
\(682\) | −26.8691 | − | 100.277i | −0.0393975 | − | 0.147033i | ||||
\(683\) | −1196.10 | + | 320.494i | −1.75124 | + | 0.469244i | −0.984891 | − | 0.173176i | \(-0.944597\pi\) |
−0.766352 | + | 0.642421i | \(0.777930\pi\) | |||||||
\(684\) | −183.125 | − | 374.022i | −0.267727 | − | 0.546815i | ||||
\(685\) | 295.919 | + | 1049.09i | 0.431999 | + | 1.53152i | ||||
\(686\) | 481.701 | − | 57.1167i | 0.702188 | − | 0.0832604i | ||||
\(687\) | −144.490 | − | 154.711i | −0.210320 | − | 0.225198i | ||||
\(688\) | −32.8168 | − | 8.79325i | −0.0476989 | − | 0.0127809i | ||||
\(689\) | −117.202 | − | 67.6668i | −0.170105 | − | 0.0982102i | ||||
\(690\) | 126.005 | − | 433.588i | 0.182615 | − | 0.628388i | ||||
\(691\) | 99.6825 | − | 57.5517i | 0.144258 | − | 0.0832876i | −0.426134 | − | 0.904660i | \(-0.640125\pi\) |
0.570392 | + | 0.821373i | \(0.306791\pi\) | |||||||
\(692\) | 173.312 | + | 173.312i | 0.250450 | + | 0.250450i | ||||
\(693\) | 580.506 | − | 1156.26i | 0.837671 | − | 1.66849i | ||||
\(694\) | − | 20.9114i | − | 0.0301317i | ||||||
\(695\) | 296.873 | − | 3.89782i | 0.427155 | − | 0.00560837i | ||||
\(696\) | −16.6027 | − | 10.3570i | −0.0238544 | − | 0.0148808i | ||||
\(697\) | −0.439903 | + | 0.117872i | −0.000631137 | + | 0.000169113i | ||||
\(698\) | −24.9235 | − | 6.67823i | −0.0357070 | − | 0.00956766i | ||||
\(699\) | 36.0413 | − | 1055.02i | 0.0515612 | − | 1.50932i | ||||
\(700\) | −272.927 | + | 219.114i | −0.389896 | + | 0.313020i | ||||
\(701\) | 850.600i | 1.21341i | 0.794927 | + | 0.606705i | \(0.207509\pi\) | ||||
−0.794927 | + | 0.606705i | \(0.792491\pi\) | |||||||
\(702\) | 518.406 | + | 197.646i | 0.738471 | + | 0.281547i | ||||
\(703\) | 928.187 | − | 248.707i | 1.32032 | − | 0.353780i | ||||
\(704\) | 82.1465 | − | 142.282i | 0.116685 | − | 0.202105i | ||||
\(705\) | 3.88185 | − | 184.649i | 0.00550617 | − | 0.261914i | ||||
\(706\) | − | 354.808i | − | 0.502561i | ||||||
\(707\) | −661.279 | − | 869.499i | −0.935332 | − | 1.22984i | ||||
\(708\) | −65.0483 | − | 69.6499i | −0.0918762 | − | 0.0983755i | ||||
\(709\) | 279.742 | − | 161.509i | 0.394559 | − | 0.227799i | −0.289575 | − | 0.957155i | \(-0.593514\pi\) |
0.684133 | + | 0.729357i | \(0.260181\pi\) | |||||||
\(710\) | −139.997 | + | 551.330i | −0.197179 | + | 0.776522i | ||||
\(711\) | −132.182 | + | 196.611i | −0.185910 | + | 0.276527i | ||||
\(712\) | −124.148 | − | 33.2654i | −0.174365 | − | 0.0467211i | ||||
\(713\) | 53.7990 | − | 53.7990i | 0.0754544 | − | 0.0754544i | ||||
\(714\) | 85.0305 | − | 497.318i | 0.119090 | − | 0.696523i | ||||
\(715\) | −405.038 | − | 1435.94i | −0.566486 | − | 2.00831i | ||||
\(716\) | 451.365 | − | 260.596i | 0.630398 | − | 0.363960i | ||||
\(717\) | −743.695 | + | 172.289i | −1.03723 | + | 0.240292i | ||||
\(718\) | 141.527 | + | 528.186i | 0.197113 | + | 0.735634i | ||||
\(719\) | −104.219 | + | 60.1707i | −0.144950 | + | 0.0836867i | −0.570721 | − | 0.821144i | \(-0.693336\pi\) |
0.425771 | + | 0.904831i | \(0.360003\pi\) | |||||||
\(720\) | 150.685 | + | 98.4586i | 0.209284 | + | 0.136748i | ||||
\(721\) | 495.076 | + | 383.273i | 0.686652 | + | 0.531585i | ||||
\(722\) | −174.268 | + | 174.268i | −0.241369 | + | 0.241369i | ||||
\(723\) | 785.495 | + | 239.499i | 1.08644 | + | 0.331257i | ||||
\(724\) | 208.629 | − | 361.357i | 0.288162 | − | 0.499112i | ||||
\(725\) | −57.6336 | + | 1.51367i | −0.0794947 | + | 0.00208782i | ||||
\(726\) | 599.892 | + | 1126.17i | 0.826298 | + | 1.55120i | ||||
\(727\) | 182.698 | − | 182.698i | 0.251304 | − | 0.251304i | −0.570201 | − | 0.821505i | \(-0.693135\pi\) |
0.821505 | + | 0.570201i | \(0.193135\pi\) | |||||||
\(728\) | −265.304 | − | 111.229i | −0.364428 | − | 0.152787i | ||||
\(729\) | 148.323 | − | 713.752i | 0.203461 | − | 0.979083i | ||||
\(730\) | −1009.63 | + | 13.2560i | −1.38305 | + | 0.0181589i | ||||
\(731\) | 72.1472 | − | 124.963i | 0.0986966 | − | 0.170948i | ||||
\(732\) | 283.375 | − | 65.6485i | 0.387124 | − | 0.0896837i | ||||
\(733\) | −215.993 | + | 806.098i | −0.294670 | + | 1.09972i | 0.646808 | + | 0.762653i | \(0.276103\pi\) |
−0.941479 | + | 0.337072i | \(0.890563\pi\) | |||||||
\(734\) | 475.759i | 0.648172i | ||||||||
\(735\) | −625.372 | − | 386.181i | −0.850846 | − | 0.525416i | ||||
\(736\) | 120.407 | 0.163596 | ||||||||
\(737\) | 488.525 | + | 130.900i | 0.662856 | + | 0.177612i | ||||
\(738\) | 0.334836 | − | 0.0656124i | 0.000453707 | − | 8.89057e-5i | ||||
\(739\) | 781.051 | + | 450.940i | 1.05690 | + | 0.610203i | 0.924574 | − | 0.381003i | \(-0.124421\pi\) |
0.132329 | + | 0.991206i | \(0.457754\pi\) | |||||||
\(740\) | −289.810 | + | 297.522i | −0.391636 | + | 0.402056i | ||||
\(741\) | 34.4316 | − | 1007.90i | 0.0464663 | − | 1.36018i | ||||
\(742\) | 35.6509 | − | 85.0345i | 0.0480470 | − | 0.114602i | ||||
\(743\) | −868.363 | − | 868.363i | −1.16873 | − | 1.16873i | −0.982509 | − | 0.186217i | \(-0.940377\pi\) |
−0.186217 | − | 0.982509i | \(-0.559623\pi\) | |||||||
\(744\) | 14.2596 | + | 26.7694i | 0.0191661 | + | 0.0359804i | ||||
\(745\) | 434.993 | + | 731.094i | 0.583884 | + | 0.981334i | ||||
\(746\) | −394.548 | − | 227.792i | −0.528885 | − | 0.305352i | ||||
\(747\) | 345.337 | − | 1007.89i | 0.462299 | − | 1.34926i | ||||
\(748\) | 493.401 | + | 493.401i | 0.659628 | + | 0.659628i | ||||
\(749\) | −206.470 | + | 266.698i | −0.275661 | + | 0.356073i | ||||
\(750\) | 530.323 | − | 2.77783i | 0.707097 | − | 0.00370377i | ||||
\(751\) | 405.706 | + | 702.703i | 0.540220 | + | 0.935689i | 0.998891 | + | 0.0470828i | \(0.0149925\pi\) |
−0.458671 | + | 0.888606i | \(0.651674\pi\) | |||||||
\(752\) | 47.5726 | − | 12.7470i | 0.0632614 | − | 0.0169508i | ||||
\(753\) | −558.286 | + | 129.336i | −0.741415 | + | 0.171761i | ||||
\(754\) | −23.6937 | − | 41.0387i | −0.0314240 | − | 0.0544280i | ||||
\(755\) | −77.6624 | + | 138.689i | −0.102864 | + | 0.183694i | ||||
\(756\) | −88.9841 | + | 367.377i | −0.117704 | + | 0.485948i | ||||
\(757\) | 603.322 | + | 603.322i | 0.796991 | + | 0.796991i | 0.982620 | − | 0.185629i | \(-0.0594324\pi\) |
−0.185629 | + | 0.982620i | \(0.559432\pi\) | |||||||
\(758\) | −20.3255 | + | 75.8557i | −0.0268146 | + | 0.100073i | ||||
\(759\) | −694.079 | + | 1112.63i | −0.914465 | + | 1.46592i | ||||
\(760\) | 80.5267 | − | 317.126i | 0.105956 | − | 0.417271i | ||||
\(761\) | 11.2661 | + | 19.5134i | 0.0148043 | + | 0.0256418i | 0.873333 | − | 0.487124i | \(-0.161954\pi\) |
−0.858528 | + | 0.512766i | \(0.828621\pi\) | |||||||
\(762\) | 477.295 | + | 511.059i | 0.626372 | + | 0.670681i | ||||
\(763\) | 209.469 | − | 159.308i | 0.274534 | − | 0.208791i | ||||
\(764\) | −182.635 | −0.239051 | ||||||||
\(765\) | −569.558 | + | 509.943i | −0.744520 | + | 0.666592i | ||||
\(766\) | 116.368 | + | 67.1848i | 0.151916 | + | 0.0877086i | ||||
\(767\) | −59.7320 | − | 222.923i | −0.0778774 | − | 0.290643i | ||||
\(768\) | −13.9990 | + | 45.9133i | −0.0182279 | + | 0.0597829i | ||||
\(769\) | 703.357 | 0.914638 | 0.457319 | − | 0.889303i | \(-0.348810\pi\) | ||||
0.457319 | + | 0.889303i | \(0.348810\pi\) | |||||||
\(770\) | 935.659 | − | 397.285i | 1.21514 | − | 0.515954i | ||||
\(771\) | −20.8939 | + | 611.616i | −0.0270997 | + | 0.793276i | ||||
\(772\) | −69.3603 | + | 258.856i | −0.0898450 | + | 0.335306i | ||||
\(773\) | −9.71186 | − | 36.2452i | −0.0125639 | − | 0.0468889i | 0.959359 | − | 0.282187i | \(-0.0910600\pi\) |
−0.971923 | + | 0.235298i | \(0.924393\pi\) | |||||||
\(774\) | −60.3163 | + | 89.7156i | −0.0779280 | + | 0.115912i | ||||
\(775\) | 78.5361 | + | 42.6337i | 0.101337 | + | 0.0550113i | ||||
\(776\) | 338.289 | 0.435939 | ||||||||
\(777\) | −792.402 | − | 364.506i | −1.01982 | − | 0.469120i | ||||
\(778\) | −107.046 | + | 107.046i | −0.137592 | + | 0.137592i | ||||
\(779\) | −0.310107 | − | 0.537121i | −0.000398084 | − | 0.000689501i | ||||
\(780\) | 209.966 | + | 381.995i | 0.269187 | + | 0.489737i | ||||
\(781\) | 826.027 | − | 1430.72i | 1.05765 | − | 1.83191i | ||||
\(782\) | −132.356 | + | 493.960i | −0.169253 | + | 0.631662i | ||||
\(783\) | −48.3004 | + | 39.2951i | −0.0616863 | + | 0.0501853i | ||||
\(784\) | 52.3520 | − | 188.879i | 0.0667755 | − | 0.240917i | ||||
\(785\) | −374.648 | − | 1328.20i | −0.477258 | − | 1.69198i | ||||
\(786\) | 247.713 | + | 465.030i | 0.315157 | + | 0.591642i | ||||
\(787\) | 97.2228 | + | 362.840i | 0.123536 | + | 0.461043i | 0.999783 | − | 0.0208192i | \(-0.00662742\pi\) |
−0.876247 | + | 0.481862i | \(0.839961\pi\) | |||||||
\(788\) | 553.605 | − | 148.338i | 0.702544 | − | 0.188246i | ||||
\(789\) | −834.728 | + | 444.645i | −1.05796 | + | 0.563555i | ||||
\(790\) | −179.146 | + | 50.5320i | −0.226767 | + | 0.0639645i | ||||
\(791\) | −465.457 | + | 190.462i | −0.588441 | + | 0.240786i | ||||
\(792\) | −343.570 | − | 394.024i | −0.433801 | − | 0.497505i | ||||
\(793\) | 680.405 | + | 182.314i | 0.858014 | + | 0.229904i | ||||
\(794\) | −447.224 | − | 258.205i | −0.563254 | − | 0.325195i | ||||
\(795\) | −122.436 | + | 67.2977i | −0.154008 | + | 0.0846512i | ||||
\(796\) | 57.8832 | − | 33.4189i | 0.0727176 | − | 0.0419835i | ||||
\(797\) | −100.294 | − | 100.294i | −0.125840 | − | 0.125840i | 0.641382 | − | 0.767222i | \(-0.278361\pi\) |
−0.767222 | + | 0.641382i | \(0.778361\pi\) | |||||||
\(798\) | 684.165 | − | 63.4378i | 0.857350 | − | 0.0794960i | ||||
\(799\) | 209.175i | 0.261796i | ||||||||
\(800\) | 40.1764 | + | 135.594i | 0.0502205 | + | 0.169493i | ||||
\(801\) | −228.180 | + | 339.400i | −0.284869 | + | 0.423720i | ||||
\(802\) | 461.288 | − | 123.602i | 0.575172 | − | 0.154117i | ||||
\(803\) | 2832.61 | + | 758.996i | 3.52754 | + | 0.945201i | ||||
\(804\) | −147.677 | − | 5.04490i | −0.183677 | − | 0.00627476i | ||||
\(805\) | 595.016 | + | 448.275i | 0.739151 | + | 0.556863i | ||||
\(806\) | 73.4497i | 0.0911286i | ||||||||
\(807\) | 447.367 | + | 136.403i | 0.554358 | + | 0.169025i | ||||
\(808\) | −426.353 | + | 114.241i | −0.527664 | + | 0.141387i | ||||
\(809\) | 120.700 | − | 209.058i | 0.149196 | − | 0.258415i | −0.781735 | − | 0.623611i | \(-0.785665\pi\) |
0.930931 | + | 0.365196i | \(0.118998\pi\) | |||||||
\(810\) | 451.794 | − | 352.041i | 0.557770 | − | 0.434618i | ||||
\(811\) | − | 317.597i | − | 0.391612i | −0.980643 | − | 0.195806i | \(-0.937268\pi\) | ||
0.980643 | − | 0.195806i | \(-0.0627323\pi\) | |||||||
\(812\) | 25.6983 | − | 19.5443i | 0.0316482 | − | 0.0240694i | ||||
\(813\) | −883.119 | + | 824.774i | −1.08625 | + | 1.01448i | ||||
\(814\) | 1044.67 | − | 603.143i | 1.28338 | − | 0.740961i | ||||
\(815\) | 1445.92 | + | 367.156i | 1.77413 | + | 0.450499i | ||||
\(816\) | −172.967 | − | 107.900i | −0.211970 | − | 0.132230i | ||||
\(817\) | 189.811 | + | 50.8598i | 0.232327 | + | 0.0622519i | ||||
\(818\) | −165.099 | + | 165.099i | −0.201833 | + | 0.201833i | ||||
\(819\) | −608.452 | + | 683.894i | −0.742921 | + | 0.835036i | ||||
\(820\) | 0.233899 | + | 0.130978i | 0.000285243 | + | 0.000159729i | ||||
\(821\) | 272.381 | − | 157.259i | 0.331767 | − | 0.191546i | −0.324858 | − | 0.945763i | \(-0.605317\pi\) |
0.656625 | + | 0.754217i | \(0.271983\pi\) | |||||||
\(822\) | 208.745 | + | 901.058i | 0.253948 | + | 1.09618i | ||||
\(823\) | 73.5138 | + | 274.357i | 0.0893242 | + | 0.333362i | 0.996098 | − | 0.0882553i | \(-0.0281291\pi\) |
−0.906774 | + | 0.421618i | \(0.861462\pi\) | |||||||
\(824\) | 219.088 | − | 126.491i | 0.265884 | − | 0.153508i | ||||
\(825\) | −1484.57 | − | 410.372i | −1.79948 | − | 0.497421i | ||||
\(826\) | 145.527 | − | 59.5488i | 0.176183 | − | 0.0720930i | ||||
\(827\) | 188.260 | − | 188.260i | 0.227642 | − | 0.227642i | −0.584065 | − | 0.811707i | \(-0.698539\pi\) |
0.811707 | + | 0.584065i | \(0.198539\pi\) | |||||||
\(828\) | 124.186 | − | 362.448i | 0.149984 | − | 0.437739i | ||||
\(829\) | 394.203 | − | 682.779i | 0.475516 | − | 0.823618i | −0.524091 | − | 0.851662i | \(-0.675595\pi\) |
0.999607 | + | 0.0280448i | \(0.00892810\pi\) | |||||||
\(830\) | 719.366 | − | 428.016i | 0.866706 | − | 0.515681i | ||||
\(831\) | 719.019 | − | 383.009i | 0.865246 | − | 0.460901i | ||||
\(832\) | −82.1934 | + | 82.1934i | −0.0987902 | + | 0.0987902i | ||||
\(833\) | 717.314 | + | 422.394i | 0.861121 | + | 0.507075i | ||||
\(834\) | 251.780 | + | 8.60125i | 0.301894 | + | 0.0103133i | ||||
\(835\) | −134.661 | − | 131.171i | −0.161271 | − | 0.157091i | ||||
\(836\) | −475.132 | + | 822.953i | −0.568340 | + | 0.984394i | ||||
\(837\) | 95.2881 | − | 15.3144i | 0.113845 | − | 0.0182967i | ||||
\(838\) | −69.6727 | + | 260.022i | −0.0831416 | + | 0.310289i | ||||
\(839\) | − | 908.131i | − | 1.08240i | −0.840895 | − | 0.541199i | \(-0.817971\pi\) | ||
0.840895 | − | 0.541199i | \(-0.182029\pi\) | |||||||
\(840\) | −240.114 | + | 174.772i | −0.285850 | + | 0.208062i | ||||
\(841\) | −835.682 | −0.993676 | ||||||||
\(842\) | 622.717 | + | 166.857i | 0.739569 | + | 0.198167i | ||||
\(843\) | −228.792 | − | 987.592i | −0.271402 | − | 1.17152i | ||||
\(844\) | −283.994 | − | 163.964i | −0.336486 | − | 0.194270i | ||||
\(845\) | 2.76468 | + | 210.569i | 0.00327181 | + | 0.249194i | ||||
\(846\) | 10.6948 | − | 156.350i | 0.0126417 | − | 0.184810i | ||||
\(847\) | −2088.42 | + | 265.830i | −2.46566 | + | 0.313849i | ||||
\(848\) | −26.3444 | − | 26.3444i | −0.0310665 | − | 0.0310665i | ||||
\(849\) | 143.008 | − | 76.1779i | 0.168443 | − | 0.0897266i | ||||
\(850\) | −600.429 | + | 15.7695i | −0.706387 | + | 0.0185523i | ||||
\(851\) | 765.620 | + | 442.031i | 0.899671 | + | 0.519425i | ||||
\(852\) | −140.768 | + | 461.683i | −0.165221 | + | 0.541881i | ||||
\(853\) | −616.564 | − | 616.564i | −0.722818 | − | 0.722818i | 0.246360 | − | 0.969178i | \(-0.420765\pi\) |
−0.969178 | + | 0.246360i | \(0.920765\pi\) | |||||||
\(854\) | −64.6850 | + | 475.548i | −0.0757435 | + | 0.556847i | ||||
\(855\) | −871.556 | − | 569.481i | −1.01936 | − | 0.666060i | ||||
\(856\) | 68.1408 | + | 118.023i | 0.0796038 | + | 0.137878i | ||||
\(857\) | 1358.62 | − | 364.040i | 1.58532 | − | 0.424784i | 0.644750 | − | 0.764393i | \(-0.276961\pi\) |
0.940567 | + | 0.339609i | \(0.110295\pi\) | |||||||
\(858\) | −285.719 | − | 1233.32i | −0.333005 | − | 1.43743i | ||||
\(859\) | −533.708 | − | 924.409i | −0.621313 | − | 1.07615i | −0.989242 | − | 0.146291i | \(-0.953266\pi\) |
0.367929 | − | 0.929854i | \(-0.380067\pi\) | |||||||
\(860\) | −81.7464 | + | 23.0583i | −0.0950540 | + | 0.0268120i | ||||
\(861\) | −0.0948767 | + | 0.554905i | −0.000110194 | + | 0.000644489i | ||||
\(862\) | −730.407 | − | 730.407i | −0.847340 | − | 0.847340i | ||||
\(863\) | −278.739 | + | 1040.27i | −0.322988 | + | 1.20541i | 0.593331 | + | 0.804959i | \(0.297813\pi\) |
−0.916319 | + | 0.400449i | \(0.868854\pi\) | |||||||
\(864\) | 123.769 | + | 89.4942i | 0.143251 | + | 0.103581i | ||||
\(865\) | 593.901 | + | 150.807i | 0.686591 | + | 0.174344i | ||||
\(866\) | −457.462 | − | 792.348i | −0.528247 | − | 0.914951i | ||||
\(867\) | −0.852545 | + | 0.796220i | −0.000983328 | + | 0.000918362i | ||||
\(868\) | −49.6422 | + | 6.31885i | −0.0571914 | + | 0.00727978i | ||||
\(869\) | 540.600 | 0.622094 | ||||||||
\(870\) | −48.9098 | − | 1.02822i | −0.0562182 | − | 0.00118186i | ||||
\(871\) | −309.889 | − | 178.915i | −0.355786 | − | 0.205413i | ||||
\(872\) | −27.5216 | − | 102.712i | −0.0315614 | − | 0.117789i | ||||
\(873\) | 348.907 | − | 1018.31i | 0.399665 | − | 1.16645i | ||||
\(874\) | −696.429 | −0.796830 | ||||||||
\(875\) | −306.278 | + | 819.646i | −0.350032 | + | 0.936738i | ||||
\(876\) | −856.273 | − | 29.2518i | −0.977481 | − | 0.0333925i | ||||
\(877\) | 173.489 | − | 647.471i | 0.197821 | − | 0.738279i | −0.793697 | − | 0.608313i | \(-0.791847\pi\) |
0.991518 | − | 0.129966i | \(-0.0414868\pi\) | |||||||
\(878\) | −48.3757 | − | 180.540i | −0.0550976 | − | 0.205627i | ||||
\(879\) | −380.471 | + | 609.908i | −0.432845 | + | 0.693866i | ||||
\(880\) | −5.39228 | − | 410.697i | −0.00612759 | − | 0.466701i | ||||
\(881\) | −1094.84 | −1.24273 | −0.621363 | − | 0.783523i | \(-0.713421\pi\) | ||||
−0.621363 | + | 0.783523i | \(0.713421\pi\) | |||||||
\(882\) | −514.566 | − | 352.397i | −0.583408 | − | 0.399543i | ||||
\(883\) | −289.028 | + | 289.028i | −0.327325 | + | 0.327325i | −0.851568 | − | 0.524244i | \(-0.824348\pi\) |
0.524244 | + | 0.851568i | \(0.324348\pi\) | |||||||
\(884\) | −246.842 | − | 427.542i | −0.279233 | − | 0.483645i | ||||
\(885\) | −228.789 | − | 66.4880i | −0.258518 | − | 0.0751277i | ||||
\(886\) | −365.717 | + | 633.440i | −0.412773 | + | 0.714943i | ||||
\(887\) | 176.230 | − | 657.700i | 0.198681 | − | 0.741488i | −0.792602 | − | 0.609739i | \(-0.791274\pi\) |
0.991283 | − | 0.131749i | \(-0.0420593\pi\) | |||||||
\(888\) | −257.568 | + | 240.552i | −0.290055 | + | 0.270892i | ||||
\(889\) | −1067.81 | + | 436.942i | −1.20114 | + | 0.491499i | ||||
\(890\) | −309.252 | + | 87.2310i | −0.347474 | + | 0.0980124i | ||||
\(891\) | −1540.44 | + | 627.819i | −1.72889 | + | 0.704623i | ||||
\(892\) | −115.892 | − | 432.516i | −0.129924 | − | 0.484883i | ||||
\(893\) | −275.158 | + | 73.7284i | −0.308128 | + | 0.0825626i | ||||
\(894\) | 339.374 | + | 637.104i | 0.379613 | + | 0.712644i | ||||
\(895\) | 636.619 | − | 1136.87i | 0.711306 | − | 1.27024i | ||||
\(896\) | −62.6228 | − | 48.4807i | −0.0698916 | − | 0.0541079i | ||||
\(897\) | 678.078 | − | 633.280i | 0.755940 | − | 0.705998i | ||||
\(898\) | 95.1355 | + | 25.4915i | 0.105942 | + | 0.0283870i | ||||
\(899\) | −7.13886 | − | 4.12162i | −0.00794089 | − | 0.00458468i | ||||
\(900\) | 449.602 | + | 18.9122i | 0.499558 | + | 0.0210135i | ||||
\(901\) | 137.035 | − | 79.1171i | 0.152092 | − | 0.0878103i | ||||
\(902\) | −0.550535 | − | 0.550535i | −0.000610349 | − | 0.000610349i | ||||
\(903\) | −103.064 | − | 145.576i | −0.114135 | − | 0.161214i | ||||
\(904\) | 203.209i | 0.224789i | ||||||||
\(905\) | −13.6949 | − | 1043.06i | −0.0151325 | − | 1.15255i | ||||
\(906\) | −71.3867 | + | 114.436i | −0.0787933 | + | 0.126309i | ||||
\(907\) | 276.118 | − | 73.9855i | 0.304430 | − | 0.0815717i | −0.103370 | − | 0.994643i | \(-0.532963\pi\) |
0.407800 | + | 0.913071i | \(0.366296\pi\) | |||||||
\(908\) | −735.860 | − | 197.173i | −0.810419 | − | 0.217151i | ||||
\(909\) | −95.8489 | + | 1401.23i | −0.105444 | + | 1.54151i | ||||
\(910\) | −712.182 | + | 100.170i | −0.782618 | + | 0.110077i | ||||
\(911\) | 77.0112i | 0.0845348i | 0.999106 | + | 0.0422674i | \(0.0134581\pi\) | ||||
−0.999106 | + | 0.0422674i | \(0.986542\pi\) | |||||||
\(912\) | 80.9700 | − | 265.561i | 0.0887829 | − | 0.291185i | ||||
\(913\) | −2348.27 | + | 629.218i | −2.57204 | + | 0.689177i | ||||
\(914\) | −41.4339 | + | 71.7656i | −0.0453325 | + | 0.0785181i | ||||
\(915\) | 524.901 | − | 503.286i | 0.573663 | − | 0.550039i | ||||
\(916\) | − | 141.127i | − | 0.154069i | ||||||
\(917\) | −862.369 | + | 109.769i | −0.940424 | + | 0.119705i | ||||
\(918\) | −503.195 | + | 409.377i | −0.548143 | + | 0.445945i | ||||
\(919\) | −1258.00 | + | 726.308i | −1.36888 | + | 0.790325i | −0.990785 | − | 0.135441i | \(-0.956755\pi\) |
−0.378097 | + | 0.925766i | \(0.623421\pi\) | |||||||
\(920\) | 258.690 | − | 153.918i | 0.281185 | − | 0.167302i | ||||
\(921\) | −151.737 | + | 243.240i | −0.164752 | + | 0.264104i | ||||
\(922\) | 654.594 | + | 175.398i | 0.709971 | + | 0.190236i | ||||
\(923\) | −826.499 | + | 826.499i | −0.895449 | + | 0.895449i | ||||
\(924\) | 808.978 | − | 299.210i | 0.875517 | − | 0.323820i | ||||
\(925\) | −242.321 | + | 1009.68i | −0.261969 | + | 1.09155i | ||||
\(926\) | −75.3303 | + | 43.4920i | −0.0813502 | + | 0.0469676i | ||||
\(927\) | −154.796 | − | 789.959i | −0.166986 | − | 0.852167i | ||||
\(928\) | −3.37642 | − | 12.6010i | −0.00363839 | − | 0.0135786i | ||||
\(929\) | −754.035 | + | 435.342i | −0.811663 | + | 0.468614i | −0.847533 | − | 0.530743i | \(-0.821913\pi\) |
0.0358703 | + | 0.999356i | \(0.488580\pi\) | |||||||
\(930\) | 64.8560 | + | 39.2849i | 0.0697376 | + | 0.0422418i | ||||
\(931\) | −302.802 | + | 1092.47i | −0.325244 | + | 1.17344i | ||||
\(932\) | 497.630 | − | 497.630i | 0.533938 | − | 0.533938i | ||||
\(933\) | 444.539 | − | 1457.97i | 0.476462 | − | 1.56267i | ||||
\(934\) | −264.979 | + | 458.958i | −0.283704 | + | 0.491389i | ||||
\(935\) | 1690.78 | + | 429.333i | 1.80832 | + | 0.459180i | ||||
\(936\) | 162.644 | + | 332.191i | 0.173765 | + | 0.354905i | ||||
\(937\) | 578.859 | − | 578.859i | 0.617780 | − | 0.617780i | −0.327182 | − | 0.944961i | \(-0.606099\pi\) |
0.944961 | + | 0.327182i | \(0.106099\pi\) | |||||||
\(938\) | 94.2628 | − | 224.836i | 0.100493 | − | 0.239697i | ||||
\(939\) | 17.3195 | − | 506.983i | 0.0184446 | − | 0.539918i | ||||
\(940\) | 85.9133 | − | 88.1993i | 0.0913971 | − | 0.0938291i | ||||
\(941\) | 240.811 | − | 417.097i | 0.255910 | − | 0.443249i | −0.709232 | − | 0.704975i | \(-0.750958\pi\) |
0.965142 | + | 0.261726i | \(0.0842916\pi\) | |||||||
\(942\) | −264.281 | − | 1140.78i | −0.280553 | − | 1.21102i | ||||
\(943\) | 0.147682 | − | 0.551158i | 0.000156609 | − | 0.000584473i | ||||
\(944\) | − | 63.5344i | − | 0.0673034i | ||||||
\(945\) | 278.445 | + | 903.047i | 0.294650 | + | 0.955605i | ||||
\(946\) | 246.682 | 0.260763 | ||||||||
\(947\) | −773.725 | − | 207.319i | −0.817027 | − | 0.218922i | −0.173981 | − | 0.984749i | \(-0.555663\pi\) |
−0.643046 | + | 0.765827i | \(0.722330\pi\) | |||||||
\(948\) | −153.867 | + | 35.6459i | −0.162307 | + | 0.0376012i | ||||
\(949\) | −1796.83 | − | 1037.40i | −1.89339 | − | 1.09315i | ||||
\(950\) | −232.379 | − | 784.274i | −0.244609 | − | 0.825551i | ||||
\(951\) | 1367.39 | + | 46.7126i | 1.43785 | + | 0.0491194i | ||||
\(952\) | 267.726 | − | 203.613i | 0.281225 | − | 0.213880i | ||||
\(953\) | 487.167 | + | 487.167i | 0.511193 | + | 0.511193i | 0.914892 | − | 0.403699i | \(-0.132276\pi\) |
−0.403699 | + | 0.914892i | \(0.632276\pi\) | |||||||
\(954\) | −106.473 | + | 52.1303i | −0.111607 | + | 0.0546440i | ||||
\(955\) | −392.386 | + | 233.466i | −0.410875 | + | 0.244467i | ||||
\(956\) | −440.744 | − | 254.464i | −0.461029 | − | 0.266175i | ||||
\(957\) | 135.904 | + | 41.4374i | 0.142011 | + | 0.0432993i | ||||
\(958\) | −110.813 | − | 110.813i | −0.115671 | − | 0.115671i | ||||
\(959\) | −1512.12 | − | 205.681i | −1.57677 | − | 0.214475i | ||||
\(960\) | 28.6152 | + | 116.538i | 0.0298075 | + | 0.121394i | ||||
\(961\) | −474.112 | − | 821.185i | −0.493352 | − | 0.854511i | ||||
\(962\) | −824.379 | + | 220.892i | −0.856943 | + | 0.229617i | ||||
\(963\) | 425.552 | − | 83.3888i | 0.441903 | − | 0.0865927i | ||||
\(964\) | 273.732 | + | 474.117i | 0.283954 | + | 0.491823i | ||||
\(965\) | 181.882 | + | 644.809i | 0.188479 | + | 0.668195i | ||||
\(966\) | 486.348 | + | 403.810i | 0.503465 | + | 0.418022i | ||||
\(967\) | 342.058 | + | 342.058i | 0.353731 | + | 0.353731i | 0.861496 | − | 0.507765i | \(-0.169528\pi\) |
−0.507765 | + | 0.861496i | \(0.669528\pi\) | |||||||
\(968\) | −220.166 | + | 821.671i | −0.227444 | + | 0.848834i | ||||
\(969\) | 1000.44 | + | 624.088i | 1.03244 | + | 0.644054i | ||||
\(970\) | 726.802 | − | 432.440i | 0.749280 | − | 0.445814i | ||||
\(971\) | −91.4078 | − | 158.323i | −0.0941378 | − | 0.163051i | 0.815111 | − | 0.579305i | \(-0.196676\pi\) |
−0.909248 | + | 0.416254i | \(0.863343\pi\) | |||||||
\(972\) | 397.048 | − | 280.265i | 0.408486 | − | 0.288339i | ||||
\(973\) | −160.712 | + | 383.331i | −0.165172 | + | 0.393969i | ||||
\(974\) | −793.824 | −0.815014 | ||||||||
\(975\) | 939.415 | + | 552.300i | 0.963502 | + | 0.566462i | ||||
\(976\) | 167.939 | + | 96.9599i | 0.172069 | + | 0.0993441i | ||||
\(977\) | 323.185 | + | 1206.14i | 0.330794 | + | 1.23454i | 0.908358 | + | 0.418194i | \(0.137337\pi\) |
−0.577564 | + | 0.816345i | \(0.695997\pi\) | |||||||
\(978\) | 1210.81 | + | 369.177i | 1.23804 | + | 0.377482i | ||||
\(979\) | 933.212 | 0.953230 | ||||||||
\(980\) | −128.971 | − | 472.723i | −0.131603 | − | 0.482370i | ||||
\(981\) | −337.567 | − | 23.0908i | −0.344105 | − | 0.0235380i | ||||
\(982\) | −330.598 | + | 1233.81i | −0.336658 | + | 1.25642i | ||||
\(983\) | −18.2215 | − | 68.0034i | −0.0185366 | − | 0.0691795i | 0.956038 | − | 0.293243i | \(-0.0947344\pi\) |
−0.974575 | + | 0.224063i | \(0.928068\pi\) | |||||||
\(984\) | 0.192996 | + | 0.120394i | 0.000196134 | + | 0.000122352i | ||||
\(985\) | 999.778 | − | 1026.38i | 1.01500 | − | 1.04201i | ||||
\(986\) | 55.4061 | 0.0561928 | ||||||||
\(987\) | 234.905 | + | 108.057i | 0.237999 | + | 0.109480i | ||||
\(988\) | 475.404 | − | 475.404i | 0.481178 | − | 0.481178i | ||||
\(989\) | 90.3940 | + | 156.567i | 0.0913993 | + | 0.158308i | ||||
\(990\) | −1241.84 | − | 407.356i | −1.25438 | − | 0.411471i | ||||
\(991\) | 560.322 | − | 970.506i | 0.565411 | − | 0.979320i | −0.431601 | − | 0.902065i | \(-0.642051\pi\) |
0.997011 | − | 0.0772553i | \(-0.0246156\pi\) | |||||||
\(992\) | −5.23340 | + | 19.5313i | −0.00527561 | + | 0.0196888i | ||||
\(993\) | 30.4333 | + | 32.5862i | 0.0306478 | + | 0.0328159i | ||||
\(994\) | −629.707 | − | 487.500i | −0.633508 | − | 0.490442i | ||||
\(995\) | 81.6402 | − | 145.792i | 0.0820504 | − | 0.146525i | ||||
\(996\) | 626.884 | − | 333.930i | 0.629402 | − | 0.335271i | ||||
\(997\) | 114.436 | + | 427.081i | 0.114780 | + | 0.428366i | 0.999270 | − | 0.0381932i | \(-0.0121602\pi\) |
−0.884490 | + | 0.466559i | \(0.845494\pi\) | |||||||
\(998\) | −898.076 | + | 240.639i | −0.899876 | + | 0.241121i | ||||
\(999\) | 458.453 | + | 1023.43i | 0.458912 | + | 1.02446i |
(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 | 210.3.w.b.17.15 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.15 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.11 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.9 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.9 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.11 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.15 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.15 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.11 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.11 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.15 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.15 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.9 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.9 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.15 | yes | 64 | 105.68 | odd | 12 | inner |