Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [603,2,Mod(200,603)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(603, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("603.200");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 603 = 3^{2} \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 603.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.81497924188\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(66\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 200.13 | ||
Character | \(\chi\) | \(=\) | 603.200 |
Dual form | 603.2.l.a.401.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/603\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(470\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.948352 | + | 1.64259i | −0.670586 | + | 1.16149i | 0.307152 | + | 0.951660i | \(0.400624\pi\) |
−0.977738 | + | 0.209829i | \(0.932709\pi\) | |||||||
\(3\) | 0.853494 | + | 1.50717i | 0.492765 | + | 0.870162i | ||||
\(4\) | −0.798743 | − | 1.38346i | −0.399371 | − | 0.691732i | ||||
\(5\) | 1.60208 | + | 2.77488i | 0.716472 | + | 1.24097i | 0.962389 | + | 0.271675i | \(0.0875776\pi\) |
−0.245917 | + | 0.969291i | \(0.579089\pi\) | |||||||
\(6\) | −3.28507 | − | 0.0273793i | −1.34113 | − | 0.0111776i | ||||
\(7\) | 0.395721 | + | 0.228469i | 0.149568 | + | 0.0863533i | 0.572916 | − | 0.819614i | \(-0.305812\pi\) |
−0.423348 | + | 0.905967i | \(0.639145\pi\) | |||||||
\(8\) | −0.763450 | −0.269920 | ||||||||
\(9\) | −1.54310 | + | 2.57271i | −0.514365 | + | 0.857571i | ||||
\(10\) | −6.07734 | −1.92182 | ||||||||
\(11\) | −1.42798 | + | 2.47334i | −0.430553 | + | 0.745740i | −0.996921 | − | 0.0784126i | \(-0.975015\pi\) |
0.566368 | + | 0.824153i | \(0.308348\pi\) | |||||||
\(12\) | 1.40339 | − | 2.38462i | 0.405123 | − | 0.688379i | ||||
\(13\) | 3.82550 | − | 2.20865i | 1.06100 | − | 0.612570i | 0.135293 | − | 0.990806i | \(-0.456802\pi\) |
0.925709 | + | 0.378236i | \(0.123469\pi\) | |||||||
\(14\) | −0.750565 | + | 0.433339i | −0.200597 | + | 0.115815i | ||||
\(15\) | −2.81484 | + | 4.78295i | −0.726790 | + | 1.23495i | ||||
\(16\) | 2.32151 | − | 4.02097i | 0.580376 | − | 1.00524i | ||||
\(17\) | − | 1.61213i | − | 0.390999i | −0.980704 | − | 0.195499i | \(-0.937367\pi\) | ||
0.980704 | − | 0.195499i | \(-0.0626328\pi\) | |||||||
\(18\) | −2.76253 | − | 4.97452i | −0.651133 | − | 1.17251i | ||||
\(19\) | −1.90625 | −0.437323 | −0.218662 | − | 0.975801i | \(-0.570169\pi\) | ||||
−0.218662 | + | 0.975801i | \(0.570169\pi\) | |||||||
\(20\) | 2.55930 | − | 4.43284i | 0.572277 | − | 0.991213i | ||||
\(21\) | −0.00659601 | + | 0.791414i | −0.00143937 | + | 0.172701i | ||||
\(22\) | −2.70846 | − | 4.69119i | −0.577446 | − | 1.00017i | ||||
\(23\) | −0.758829 | + | 0.438110i | −0.158227 | + | 0.0913523i | −0.577023 | − | 0.816728i | \(-0.695786\pi\) |
0.418796 | + | 0.908080i | \(0.362452\pi\) | |||||||
\(24\) | −0.651600 | − | 1.15065i | −0.133007 | − | 0.234875i | ||||
\(25\) | −2.63332 | + | 4.56105i | −0.526665 | + | 0.912210i | ||||
\(26\) | 8.37832i | 1.64312i | ||||||||
\(27\) | −5.19453 | − | 0.129905i | −0.999687 | − | 0.0250002i | ||||
\(28\) | − | 0.729953i | − | 0.137948i | ||||||
\(29\) | 5.93678 | + | 3.42760i | 1.10243 | + | 0.636490i | 0.936859 | − | 0.349707i | \(-0.113719\pi\) |
0.165574 | + | 0.986197i | \(0.447052\pi\) | |||||||
\(30\) | −5.18698 | − | 9.15956i | −0.947008 | − | 1.67230i | ||||
\(31\) | 0.150077 | − | 0.0866472i | 0.0269547 | − | 0.0155623i | −0.486462 | − | 0.873702i | \(-0.661713\pi\) |
0.513417 | + | 0.858139i | \(0.328379\pi\) | |||||||
\(32\) | 3.63976 | + | 6.30425i | 0.643424 | + | 1.11444i | ||||
\(33\) | −4.94651 | − | 0.0412265i | −0.861076 | − | 0.00717662i | ||||
\(34\) | 2.64807 | + | 1.52887i | 0.454141 | + | 0.262198i | ||||
\(35\) | 1.46411i | 0.247479i | ||||||||
\(36\) | 4.79179 | + | 0.0798796i | 0.798632 | + | 0.0133133i | ||||
\(37\) | 5.70239 | 0.937468 | 0.468734 | − | 0.883339i | \(-0.344710\pi\) | ||||
0.468734 | + | 0.883339i | \(0.344710\pi\) | |||||||
\(38\) | 1.80779 | − | 3.13119i | 0.293263 | − | 0.507946i | ||||
\(39\) | 6.59385 | + | 3.88059i | 1.05586 | + | 0.621391i | ||||
\(40\) | −1.22311 | − | 2.11849i | −0.193391 | − | 0.334962i | ||||
\(41\) | −0.559635 | − | 0.969316i | −0.0874003 | − | 0.151382i | 0.819011 | − | 0.573778i | \(-0.194523\pi\) |
−0.906412 | + | 0.422396i | \(0.861189\pi\) | |||||||
\(42\) | −1.29372 | − | 0.761373i | −0.199625 | − | 0.117482i | ||||
\(43\) | −0.317624 | − | 0.183380i | −0.0484372 | − | 0.0279652i | 0.475586 | − | 0.879669i | \(-0.342236\pi\) |
−0.524023 | + | 0.851704i | \(0.675569\pi\) | |||||||
\(44\) | 4.56237 | 0.687803 | ||||||||
\(45\) | −9.61115 | − | 0.160219i | −1.43275 | − | 0.0238840i | ||||
\(46\) | − | 1.66193i | − | 0.245038i | ||||||
\(47\) | −4.40822 | − | 2.54508i | −0.643004 | − | 0.371239i | 0.142767 | − | 0.989756i | \(-0.454400\pi\) |
−0.785771 | + | 0.618518i | \(0.787734\pi\) | |||||||
\(48\) | 8.04165 | + | 0.0670229i | 1.16071 | + | 0.00967392i | ||||
\(49\) | −3.39560 | − | 5.88136i | −0.485086 | − | 0.840194i | ||||
\(50\) | −4.99463 | − | 8.65096i | −0.706348 | − | 1.22343i | ||||
\(51\) | 2.42975 | − | 1.37594i | 0.340232 | − | 0.192671i | ||||
\(52\) | −6.11118 | − | 3.52829i | −0.847468 | − | 0.489286i | ||||
\(53\) | 7.73091 | 1.06192 | 0.530961 | − | 0.847396i | \(-0.321831\pi\) | ||||
0.530961 | + | 0.847396i | \(0.321831\pi\) | |||||||
\(54\) | 5.13962 | − | 8.40930i | 0.699414 | − | 1.14436i | ||||
\(55\) | −9.15098 | −1.23392 | ||||||||
\(56\) | −0.302113 | − | 0.174425i | −0.0403716 | − | 0.0233085i | ||||
\(57\) | −1.62697 | − | 2.87303i | −0.215498 | − | 0.380542i | ||||
\(58\) | −11.2603 | + | 6.50115i | −1.47855 | + | 0.853643i | ||||
\(59\) | 2.77899 | − | 1.60445i | 0.361793 | − | 0.208882i | −0.308074 | − | 0.951362i | \(-0.599684\pi\) |
0.669867 | + | 0.742481i | \(0.266351\pi\) | |||||||
\(60\) | 8.86537 | + | 0.0738881i | 1.14451 | + | 0.00953892i | ||||
\(61\) | 4.69115 | + | 2.70844i | 0.600640 | + | 0.346780i | 0.769293 | − | 0.638896i | \(-0.220609\pi\) |
−0.168653 | + | 0.985675i | \(0.553942\pi\) | |||||||
\(62\) | 0.328688i | 0.0417435i | ||||||||
\(63\) | −1.19842 | + | 0.665526i | −0.150987 | + | 0.0838483i | ||||
\(64\) | −4.52106 | −0.565133 | ||||||||
\(65\) | 12.2575 | + | 7.07688i | 1.52036 | + | 0.877779i | ||||
\(66\) | 4.75875 | − | 8.08601i | 0.585761 | − | 0.995319i | ||||
\(67\) | −7.73335 | − | 2.68240i | −0.944779 | − | 0.327708i | ||||
\(68\) | −2.23032 | + | 1.28768i | −0.270466 | + | 0.156154i | ||||
\(69\) | −1.30796 | − | 0.769757i | −0.157460 | − | 0.0926678i | ||||
\(70\) | −2.40493 | − | 1.38849i | −0.287444 | − | 0.165956i | ||||
\(71\) | − | 13.2725i | − | 1.57516i | −0.616215 | − | 0.787578i | \(-0.711335\pi\) | ||
0.616215 | − | 0.787578i | \(-0.288665\pi\) | |||||||
\(72\) | 1.17808 | − | 1.96414i | 0.138838 | − | 0.231476i | ||||
\(73\) | −9.65781 | −1.13036 | −0.565181 | − | 0.824967i | \(-0.691193\pi\) | ||||
−0.565181 | + | 0.824967i | \(0.691193\pi\) | |||||||
\(74\) | −5.40788 | + | 9.36672i | −0.628653 | + | 1.08886i | ||||
\(75\) | −9.12178 | − | 0.0760252i | −1.05329 | − | 0.00877863i | ||||
\(76\) | 1.52260 | + | 2.63722i | 0.174654 | + | 0.302510i | ||||
\(77\) | −1.13016 | + | 0.652501i | −0.128794 | + | 0.0743594i | ||||
\(78\) | −12.6275 | + | 7.15085i | −1.42978 | + | 0.809674i | ||||
\(79\) | 5.08497 | + | 2.93581i | 0.572104 | + | 0.330304i | 0.757989 | − | 0.652267i | \(-0.226182\pi\) |
−0.185885 | + | 0.982571i | \(0.559515\pi\) | |||||||
\(80\) | 14.8770 | 1.66329 | ||||||||
\(81\) | −4.23771 | − | 7.93989i | −0.470857 | − | 0.882210i | ||||
\(82\) | 2.12292 | 0.234438 | ||||||||
\(83\) | 12.3316 | + | 7.11966i | 1.35357 | + | 0.781484i | 0.988748 | − | 0.149593i | \(-0.0477964\pi\) |
0.364822 | + | 0.931077i | \(0.381130\pi\) | |||||||
\(84\) | 1.10016 | − | 0.623011i | 0.120037 | − | 0.0679760i | ||||
\(85\) | 4.47347 | − | 2.58276i | 0.485216 | − | 0.280140i | ||||
\(86\) | 0.602439 | − | 0.347818i | 0.0649626 | − | 0.0375062i | ||||
\(87\) | −0.0989564 | + | 11.8732i | −0.0106092 | + | 1.27294i | ||||
\(88\) | 1.09019 | − | 1.88827i | 0.116215 | − | 0.201291i | ||||
\(89\) | − | 16.0502i | − | 1.70132i | −0.525720 | − | 0.850658i | \(-0.676204\pi\) | ||
0.525720 | − | 0.850658i | \(-0.323796\pi\) | |||||||
\(90\) | 9.37792 | − | 15.6353i | 0.988520 | − | 1.64810i | ||||
\(91\) | 2.01844 | 0.211590 | ||||||||
\(92\) | 1.21222 | + | 0.699875i | 0.126383 | + | 0.0729670i | ||||
\(93\) | 0.258682 | + | 0.152239i | 0.0268241 | + | 0.0157864i | ||||
\(94\) | 8.36108 | − | 4.82727i | 0.862380 | − | 0.497895i | ||||
\(95\) | −3.05396 | − | 5.28962i | −0.313330 | − | 0.542703i | ||||
\(96\) | −6.39503 | + | 10.8664i | −0.652690 | + | 1.10904i | ||||
\(97\) | 0.936902 | + | 0.540921i | 0.0951280 | + | 0.0549222i | 0.546809 | − | 0.837257i | \(-0.315842\pi\) |
−0.451681 | + | 0.892179i | \(0.649176\pi\) | |||||||
\(98\) | 12.8809 | 1.30117 | ||||||||
\(99\) | −4.15968 | − | 7.49039i | −0.418064 | − | 0.752813i | ||||
\(100\) | 8.41339 | 0.841339 | ||||||||
\(101\) | −8.43479 | + | 14.6095i | −0.839293 | + | 1.45370i | 0.0511937 | + | 0.998689i | \(0.483697\pi\) |
−0.890487 | + | 0.455009i | \(0.849636\pi\) | |||||||
\(102\) | −0.0441390 | + | 5.29596i | −0.00437042 | + | 0.524378i | ||||
\(103\) | 3.69396 | + | 6.39813i | 0.363977 | + | 0.630426i | 0.988611 | − | 0.150491i | \(-0.0480854\pi\) |
−0.624635 | + | 0.780917i | \(0.714752\pi\) | |||||||
\(104\) | −2.92058 | + | 1.68620i | −0.286386 | + | 0.165345i | ||||
\(105\) | −2.20665 | + | 1.24961i | −0.215347 | + | 0.121949i | ||||
\(106\) | −7.33163 | + | 12.6988i | −0.712111 | + | 1.23341i | ||||
\(107\) | 18.1675i | 1.75632i | 0.478364 | + | 0.878162i | \(0.341230\pi\) | ||||
−0.478364 | + | 0.878162i | \(0.658770\pi\) | |||||||
\(108\) | 3.96937 | + | 7.29020i | 0.381953 | + | 0.701500i | ||||
\(109\) | 2.70131i | 0.258738i | 0.991597 | + | 0.129369i | \(0.0412952\pi\) | ||||
−0.991597 | + | 0.129369i | \(0.958705\pi\) | |||||||
\(110\) | 8.67835 | − | 15.0313i | 0.827448 | − | 1.43318i | ||||
\(111\) | 4.86696 | + | 8.59445i | 0.461951 | + | 0.815749i | ||||
\(112\) | 1.83733 | − | 1.06079i | 0.173612 | − | 0.100235i | ||||
\(113\) | −7.38935 | − | 12.7987i | −0.695132 | − | 1.20400i | −0.970136 | − | 0.242561i | \(-0.922013\pi\) |
0.275005 | − | 0.961443i | \(-0.411321\pi\) | |||||||
\(114\) | 6.26216 | + | 0.0521918i | 0.586505 | + | 0.00488821i | ||||
\(115\) | −2.43141 | − | 1.40378i | −0.226730 | − | 0.130903i | ||||
\(116\) | − | 10.9511i | − | 1.01678i | ||||||
\(117\) | −0.220880 | + | 13.2501i | −0.0204204 | + | 1.22497i | ||||
\(118\) | 6.08633i | 0.560292i | ||||||||
\(119\) | 0.368322 | − | 0.637953i | 0.0337640 | − | 0.0584810i | ||||
\(120\) | 2.14899 | − | 3.65154i | 0.196175 | − | 0.333339i | ||||
\(121\) | 1.42173 | + | 2.46250i | 0.129248 | + | 0.223864i | ||||
\(122\) | −8.89772 | + | 5.13710i | −0.805561 | + | 0.465091i | ||||
\(123\) | 0.983275 | − | 1.67077i | 0.0886589 | − | 0.150648i | ||||
\(124\) | −0.239747 | − | 0.138418i | −0.0215299 | − | 0.0124303i | ||||
\(125\) | −0.854375 | −0.0764176 | ||||||||
\(126\) | 0.0433368 | − | 2.59967i | 0.00386075 | − | 0.231597i | ||||
\(127\) | 4.41573 | 0.391833 | 0.195916 | − | 0.980621i | \(-0.437232\pi\) | ||||
0.195916 | + | 0.980621i | \(0.437232\pi\) | |||||||
\(128\) | −2.99196 | + | 5.18222i | −0.264454 | + | 0.458048i | ||||
\(129\) | 0.00529427 | − | 0.635226i | 0.000466135 | − | 0.0559285i | ||||
\(130\) | −23.2489 | + | 13.4227i | −2.03906 | + | 1.17725i | ||||
\(131\) | −3.39710 | + | 1.96132i | −0.296806 | + | 0.171361i | −0.641007 | − | 0.767535i | \(-0.721483\pi\) |
0.344201 | + | 0.938896i | \(0.388150\pi\) | |||||||
\(132\) | 3.89395 | + | 6.87624i | 0.338925 | + | 0.598500i | ||||
\(133\) | −0.754341 | − | 0.435519i | −0.0654097 | − | 0.0377643i | ||||
\(134\) | 11.7400 | − | 10.1589i | 1.01418 | − | 0.877595i | ||||
\(135\) | −7.96158 | − | 14.6223i | −0.685224 | − | 1.25849i | ||||
\(136\) | 1.23078i | 0.105539i | ||||||||
\(137\) | −6.75250 | + | 11.6957i | −0.576905 | + | 0.999229i | 0.418927 | + | 0.908020i | \(0.362406\pi\) |
−0.995832 | + | 0.0912088i | \(0.970927\pi\) | |||||||
\(138\) | 2.50480 | − | 1.41845i | 0.213223 | − | 0.120746i | ||||
\(139\) | −5.99263 | + | 3.45985i | −0.508289 | + | 0.293461i | −0.732130 | − | 0.681165i | \(-0.761474\pi\) |
0.223841 | + | 0.974626i | \(0.428140\pi\) | |||||||
\(140\) | 2.02554 | − | 1.16944i | 0.171189 | − | 0.0988360i | ||||
\(141\) | 0.0734777 | − | 8.81613i | 0.00618794 | − | 0.742452i | ||||
\(142\) | 21.8013 | + | 12.5870i | 1.82953 | + | 1.05628i | ||||
\(143\) | 12.6157i | 1.05498i | ||||||||
\(144\) | 6.76249 | + | 12.1773i | 0.563541 | + | 1.01478i | ||||
\(145\) | 21.9652i | 1.82411i | ||||||||
\(146\) | 9.15900 | − | 15.8639i | 0.758004 | − | 1.31290i | ||||
\(147\) | 5.96605 | − | 10.1374i | 0.492072 | − | 0.836122i | ||||
\(148\) | −4.55475 | − | 7.88905i | −0.374398 | − | 0.648476i | ||||
\(149\) | −3.88033 | + | 2.24031i | −0.317889 | + | 0.183533i | −0.650451 | − | 0.759548i | \(-0.725420\pi\) |
0.332562 | + | 0.943081i | \(0.392087\pi\) | |||||||
\(150\) | 8.77554 | − | 14.9113i | 0.716520 | − | 1.21750i | ||||
\(151\) | 5.59100 | − | 9.68390i | 0.454989 | − | 0.788065i | −0.543698 | − | 0.839281i | \(-0.682976\pi\) |
0.998688 | + | 0.0512162i | \(0.0163097\pi\) | |||||||
\(152\) | 1.45533 | 0.118042 | ||||||||
\(153\) | 4.14755 | + | 2.48767i | 0.335309 | + | 0.201116i | ||||
\(154\) | − | 2.47520i | − | 0.199457i | ||||||
\(155\) | 0.480872 | + | 0.277632i | 0.0386246 | + | 0.0222999i | ||||
\(156\) | 0.101863 | − | 12.2219i | 0.00815559 | − | 0.978538i | ||||
\(157\) | 1.25752 | + | 2.17810i | 0.100361 | + | 0.173831i | 0.911834 | − | 0.410560i | \(-0.134667\pi\) |
−0.811472 | + | 0.584391i | \(0.801333\pi\) | |||||||
\(158\) | −9.64468 | + | 5.56836i | −0.767290 | + | 0.442995i | ||||
\(159\) | 6.59829 | + | 11.6518i | 0.523278 | + | 0.924045i | ||||
\(160\) | −11.6624 | + | 20.1998i | −0.921991 | + | 1.59694i | ||||
\(161\) | −0.400379 | −0.0315543 | ||||||||
\(162\) | 17.0609 | + | 0.568970i | 1.34043 | + | 0.0447025i | ||||
\(163\) | 16.2106 | 1.26971 | 0.634855 | − | 0.772632i | \(-0.281060\pi\) | ||||
0.634855 | + | 0.772632i | \(0.281060\pi\) | |||||||
\(164\) | −0.894009 | + | 1.54847i | −0.0698104 | + | 0.120915i | ||||
\(165\) | −7.81030 | − | 13.7920i | −0.608031 | − | 1.07371i | ||||
\(166\) | −23.3894 | + | 13.5039i | −1.81537 | + | 1.04810i | ||||
\(167\) | −11.2262 | + | 6.48146i | −0.868711 | + | 0.501551i | −0.866920 | − | 0.498448i | \(-0.833904\pi\) |
−0.00179162 | + | 0.999998i | \(0.500570\pi\) | |||||||
\(168\) | 0.00503573 | − | 0.604205i | 0.000388515 | − | 0.0466154i | ||||
\(169\) | 3.25629 | − | 5.64006i | 0.250484 | − | 0.433851i | ||||
\(170\) | 9.79746i | 0.751431i | ||||||||
\(171\) | 2.94152 | − | 4.90423i | 0.224944 | − | 0.375036i | ||||
\(172\) | 0.585895i | 0.0446741i | ||||||||
\(173\) | 20.1086 | + | 11.6097i | 1.52883 | + | 0.882671i | 0.999411 | + | 0.0343109i | \(0.0109236\pi\) |
0.529420 | + | 0.848360i | \(0.322410\pi\) | |||||||
\(174\) | −19.4089 | − | 11.4225i | −1.47139 | − | 0.865936i | ||||
\(175\) | −2.08412 | + | 1.20327i | −0.157545 | + | 0.0909585i | ||||
\(176\) | 6.63014 | + | 11.4837i | 0.499766 | + | 0.865620i | ||||
\(177\) | 4.79002 | + | 2.81901i | 0.360040 | + | 0.211890i | ||||
\(178\) | 26.3639 | + | 15.2212i | 1.97606 | + | 1.14088i | ||||
\(179\) | −2.73508 | −0.204429 | −0.102215 | − | 0.994762i | \(-0.532593\pi\) | ||||
−0.102215 | + | 0.994762i | \(0.532593\pi\) | |||||||
\(180\) | 7.45518 | + | 13.4246i | 0.555676 | + | 1.00061i | ||||
\(181\) | −7.77649 | −0.578022 | −0.289011 | − | 0.957326i | \(-0.593326\pi\) | ||||
−0.289011 | + | 0.957326i | \(0.593326\pi\) | |||||||
\(182\) | −1.91419 | + | 3.31547i | −0.141889 | + | 0.245759i | ||||
\(183\) | −0.0781937 | + | 9.38197i | −0.00578025 | + | 0.693535i | ||||
\(184\) | 0.579328 | − | 0.334475i | 0.0427087 | − | 0.0246579i | ||||
\(185\) | 9.13569 | + | 15.8235i | 0.671670 | + | 1.16337i | ||||
\(186\) | −0.495388 | + | 0.280533i | −0.0363236 | + | 0.0205697i | ||||
\(187\) | 3.98734 | + | 2.30209i | 0.291583 | + | 0.168346i | ||||
\(188\) | 8.13147i | 0.593049i | ||||||||
\(189\) | −2.02590 | − | 1.23820i | −0.147363 | − | 0.0900656i | ||||
\(190\) | 11.5849 | 0.840459 | ||||||||
\(191\) | −2.85523 | + | 4.94541i | −0.206597 | + | 0.357837i | −0.950640 | − | 0.310294i | \(-0.899572\pi\) |
0.744043 | + | 0.668132i | \(0.232906\pi\) | |||||||
\(192\) | −3.85870 | − | 6.81399i | −0.278478 | − | 0.491758i | ||||
\(193\) | −4.65409 | − | 8.06112i | −0.335009 | − | 0.580252i | 0.648478 | − | 0.761234i | \(-0.275406\pi\) |
−0.983486 | + | 0.180982i | \(0.942073\pi\) | |||||||
\(194\) | −1.77703 | + | 1.02597i | −0.127583 | + | 0.0736601i | ||||
\(195\) | −0.204313 | + | 24.5142i | −0.0146311 | + | 1.75550i | ||||
\(196\) | −5.42443 | + | 9.39538i | −0.387459 | + | 0.671099i | ||||
\(197\) | −0.846488 | −0.0603098 | −0.0301549 | − | 0.999545i | \(-0.509600\pi\) | ||||
−0.0301549 | + | 0.999545i | \(0.509600\pi\) | |||||||
\(198\) | 16.2485 | + | 0.270864i | 1.15473 | + | 0.0192495i | ||||
\(199\) | 11.1984 | 0.793835 | 0.396918 | − | 0.917854i | \(-0.370080\pi\) | ||||
0.396918 | + | 0.917854i | \(0.370080\pi\) | |||||||
\(200\) | 2.01041 | − | 3.48213i | 0.142158 | − | 0.246224i | ||||
\(201\) | −2.55754 | − | 13.9449i | −0.180395 | − | 0.983594i | ||||
\(202\) | −15.9983 | − | 27.7099i | −1.12564 | − | 1.94966i | ||||
\(203\) | 1.56620 | + | 2.71275i | 0.109926 | + | 0.190397i | ||||
\(204\) | −3.84431 | − | 2.26244i | −0.269155 | − | 0.158402i | ||||
\(205\) | 1.79316 | − | 3.10584i | 0.125240 | − | 0.216922i | ||||
\(206\) | −14.0127 | −0.976311 | ||||||||
\(207\) | 0.0438140 | − | 2.62830i | 0.00304528 | − | 0.182679i | ||||
\(208\) | − | 20.5096i | − | 1.42208i | ||||||
\(209\) | 2.72209 | − | 4.71480i | 0.188291 | − | 0.326129i | ||||
\(210\) | 0.0400862 | − | 4.80969i | 0.00276621 | − | 0.331900i | ||||
\(211\) | 9.49471 | + | 16.4453i | 0.653643 | + | 1.13214i | 0.982232 | + | 0.187670i | \(0.0600935\pi\) |
−0.328589 | + | 0.944473i | \(0.606573\pi\) | |||||||
\(212\) | −6.17501 | − | 10.6954i | −0.424102 | − | 0.734566i | ||||
\(213\) | 20.0039 | − | 11.3280i | 1.37064 | − | 0.776182i | ||||
\(214\) | −29.8419 | − | 17.2292i | −2.03995 | − | 1.17777i | ||||
\(215\) | − | 1.17516i | − | 0.0801453i | ||||||
\(216\) | 3.96577 | + | 0.0991760i | 0.269836 | + | 0.00674807i | ||||
\(217\) | 0.0791850 | 0.00537543 | ||||||||
\(218\) | −4.43715 | − | 2.56179i | −0.300522 | − | 0.173506i | ||||
\(219\) | −8.24288 | − | 14.5559i | −0.557002 | − | 0.983598i | ||||
\(220\) | 7.30928 | + | 12.6600i | 0.492791 | + | 0.853540i | ||||
\(221\) | −3.56063 | − | 6.16720i | −0.239514 | − | 0.414851i | ||||
\(222\) | −18.7328 | − | 0.156128i | −1.25726 | − | 0.0104786i | ||||
\(223\) | −11.3569 | + | 19.6708i | −0.760516 | + | 1.31725i | 0.182069 | + | 0.983286i | \(0.441721\pi\) |
−0.942585 | + | 0.333967i | \(0.891613\pi\) | |||||||
\(224\) | 3.32629i | 0.222247i | ||||||||
\(225\) | −7.67080 | − | 13.8129i | −0.511387 | − | 0.920861i | ||||
\(226\) | 28.0308 | 1.86458 | ||||||||
\(227\) | −16.5382 | − | 9.54835i | −1.09768 | − | 0.633746i | −0.162070 | − | 0.986779i | \(-0.551817\pi\) |
−0.935611 | + | 0.353033i | \(0.885150\pi\) | |||||||
\(228\) | −2.67520 | + | 4.54567i | −0.177169 | + | 0.301044i | ||||
\(229\) | 20.2805 | − | 11.7089i | 1.34017 | − | 0.773748i | 0.353339 | − | 0.935495i | \(-0.385046\pi\) |
0.986832 | + | 0.161747i | \(0.0517130\pi\) | |||||||
\(230\) | 4.61167 | − | 2.66255i | 0.304084 | − | 0.175563i | ||||
\(231\) | −1.94802 | − | 1.14644i | −0.128170 | − | 0.0754302i | ||||
\(232\) | −4.53244 | − | 2.61681i | −0.297569 | − | 0.171802i | ||||
\(233\) | −3.17268 | −0.207849 | −0.103924 | − | 0.994585i | \(-0.533140\pi\) | ||||
−0.103924 | + | 0.994585i | \(0.533140\pi\) | |||||||
\(234\) | −21.5550 | − | 12.9286i | −1.40910 | − | 0.845166i | ||||
\(235\) | − | 16.3097i | − | 1.06393i | ||||||
\(236\) | −4.43939 | − | 2.56309i | −0.288980 | − | 0.166843i | ||||
\(237\) | −0.0847581 | + | 10.1696i | −0.00550563 | + | 0.660586i | ||||
\(238\) | 0.698598 | + | 1.21001i | 0.0452834 | + | 0.0784331i | ||||
\(239\) | −11.3727 | − | 19.6980i | −0.735636 | − | 1.27416i | −0.954444 | − | 0.298391i | \(-0.903550\pi\) |
0.218807 | − | 0.975768i | \(-0.429783\pi\) | |||||||
\(240\) | 12.6974 | + | 22.4220i | 0.819613 | + | 1.44734i | ||||
\(241\) | 14.9217 | − | 25.8452i | 0.961192 | − | 1.66483i | 0.241677 | − | 0.970357i | \(-0.422303\pi\) |
0.719515 | − | 0.694477i | \(-0.244364\pi\) | |||||||
\(242\) | −5.39319 | −0.346687 | ||||||||
\(243\) | 8.34986 | − | 13.1636i | 0.535644 | − | 0.844444i | ||||
\(244\) | − | 8.65337i | − | 0.553975i | ||||||
\(245\) | 10.8801 | − | 18.8448i | 0.695101 | − | 1.20395i | ||||
\(246\) | 1.81190 | + | 3.19960i | 0.115523 | + | 0.203999i | ||||
\(247\) | −7.29235 | + | 4.21024i | −0.464001 | + | 0.267891i | ||||
\(248\) | −0.114577 | + | 0.0661509i | −0.00727563 | + | 0.00420058i | ||||
\(249\) | −0.205548 | + | 24.6624i | −0.0130261 | + | 1.56291i | ||||
\(250\) | 0.810248 | − | 1.40339i | 0.0512446 | − | 0.0887582i | ||||
\(251\) | −29.8050 | −1.88128 | −0.940638 | − | 0.339412i | \(-0.889772\pi\) | ||||
−0.940638 | + | 0.339412i | \(0.889772\pi\) | |||||||
\(252\) | 1.87796 | + | 1.12639i | 0.118300 | + | 0.0709558i | ||||
\(253\) | − | 2.50246i | − | 0.157328i | ||||||
\(254\) | −4.18766 | + | 7.25325i | −0.262757 | + | 0.455109i | ||||
\(255\) | 7.71073 | + | 4.53789i | 0.482865 | + | 0.284174i | ||||
\(256\) | −10.1959 | − | 17.6598i | −0.637245 | − | 1.10374i | ||||
\(257\) | 5.04611 | − | 2.91337i | 0.314768 | − | 0.181731i | −0.334290 | − | 0.942470i | \(-0.608497\pi\) |
0.649058 | + | 0.760739i | \(0.275163\pi\) | |||||||
\(258\) | 1.03840 | + | 0.611114i | 0.0646478 | + | 0.0380463i | ||||
\(259\) | 2.25655 | + | 1.30282i | 0.140215 | + | 0.0809535i | ||||
\(260\) | − | 22.6104i | − | 1.40224i | ||||||
\(261\) | −17.9793 | + | 9.98452i | −1.11289 | + | 0.618026i | ||||
\(262\) | − | 7.44007i | − | 0.459649i | ||||||
\(263\) | −4.84960 | − | 2.79992i | −0.299039 | − | 0.172650i | 0.342972 | − | 0.939346i | \(-0.388566\pi\) |
−0.642011 | + | 0.766695i | \(0.721900\pi\) | |||||||
\(264\) | 3.77641 | + | 0.0314744i | 0.232422 | + | 0.00193712i | ||||
\(265\) | 12.3855 | + | 21.4524i | 0.760838 | + | 1.31781i | ||||
\(266\) | 1.43076 | − | 0.826051i | 0.0877257 | − | 0.0506484i | ||||
\(267\) | 24.1903 | − | 13.6987i | 1.48042 | − | 0.838349i | ||||
\(268\) | 2.46595 | + | 12.8414i | 0.150632 | + | 0.784411i | ||||
\(269\) | − | 16.6198i | − | 1.01333i | −0.862143 | − | 0.506665i | \(-0.830878\pi\) | ||
0.862143 | − | 0.506665i | \(-0.169122\pi\) | |||||||
\(270\) | 31.5689 | + | 0.789477i | 1.92122 | + | 0.0480461i | ||||
\(271\) | − | 17.5776i | − | 1.06776i | −0.845559 | − | 0.533882i | \(-0.820733\pi\) | ||
0.845559 | − | 0.533882i | \(-0.179267\pi\) | |||||||
\(272\) | −6.48232 | − | 3.74257i | −0.393048 | − | 0.226926i | ||||
\(273\) | 1.72272 | + | 3.04212i | 0.104264 | + | 0.184117i | ||||
\(274\) | −12.8075 | − | 22.1832i | −0.773729 | − | 1.34014i | ||||
\(275\) | −7.52068 | − | 13.0262i | −0.453514 | − | 0.785510i | ||||
\(276\) | −0.0202057 | + | 2.42435i | −0.00121624 | + | 0.145929i | ||||
\(277\) | 2.11440 | − | 3.66225i | 0.127042 | − | 0.220043i | −0.795487 | − | 0.605970i | \(-0.792785\pi\) |
0.922529 | + | 0.385927i | \(0.126118\pi\) | |||||||
\(278\) | − | 13.1246i | − | 0.787162i | ||||||
\(279\) | −0.00866530 | + | 0.519811i | −0.000518778 | + | 0.0311203i | ||||
\(280\) | − | 1.11777i | − | 0.0667996i | ||||||
\(281\) | −7.28136 | + | 12.6117i | −0.434369 | + | 0.752350i | −0.997244 | − | 0.0741926i | \(-0.976362\pi\) |
0.562875 | + | 0.826542i | \(0.309695\pi\) | |||||||
\(282\) | 14.4116 | + | 8.48148i | 0.858200 | + | 0.505065i | ||||
\(283\) | 10.0348 | + | 17.3808i | 0.596508 | + | 1.03318i | 0.993332 | + | 0.115288i | \(0.0367790\pi\) |
−0.396824 | + | 0.917895i | \(0.629888\pi\) | |||||||
\(284\) | −18.3620 | + | 10.6013i | −1.08958 | + | 0.629072i | ||||
\(285\) | 5.36579 | − | 9.11748i | 0.317842 | − | 0.540073i | ||||
\(286\) | −20.7224 | − | 11.9641i | −1.22534 | − | 0.707452i | ||||
\(287\) | − | 0.511438i | − | 0.0301892i | ||||||
\(288\) | −21.8355 | − | 0.364000i | −1.28667 | − | 0.0214489i | ||||
\(289\) | 14.4010 | 0.847120 | ||||||||
\(290\) | −36.0799 | − | 20.8307i | −2.11868 | − | 1.22322i | ||||
\(291\) | −0.0156166 | + | 1.87374i | −0.000915463 | + | 0.109841i | ||||
\(292\) | 7.71411 | + | 13.3612i | 0.451434 | + | 0.781906i | ||||
\(293\) | 14.3424 | − | 8.28058i | 0.837891 | − | 0.483757i | −0.0186557 | − | 0.999826i | \(-0.505939\pi\) |
0.856547 | + | 0.516069i | \(0.172605\pi\) | |||||||
\(294\) | 10.9938 | + | 19.4137i | 0.641170 | + | 1.13223i | ||||
\(295\) | 8.90432 | + | 5.14091i | 0.518430 | + | 0.299316i | ||||
\(296\) | −4.35350 | −0.253042 | ||||||||
\(297\) | 7.73900 | − | 12.6623i | 0.449062 | − | 0.734743i | ||||
\(298\) | − | 8.49840i | − | 0.492299i | ||||||
\(299\) | −1.93527 | + | 3.35198i | −0.111919 | + | 0.193850i | ||||
\(300\) | 7.18078 | + | 12.6804i | 0.414582 | + | 0.732102i | ||||
\(301\) | −0.0837936 | − | 0.145135i | −0.00482978 | − | 0.00836543i | ||||
\(302\) | 10.6045 | + | 18.3675i | 0.610219 | + | 1.05693i | ||||
\(303\) | −29.2180 | − | 0.243516i | −1.67853 | − | 0.0139896i | ||||
\(304\) | −4.42536 | + | 7.66496i | −0.253812 | + | 0.439615i | ||||
\(305\) | 17.3565i | 0.993832i | ||||||||
\(306\) | −8.01956 | + | 4.45355i | −0.458448 | + | 0.254592i | ||||
\(307\) | 9.62353 | 0.549244 | 0.274622 | − | 0.961552i | \(-0.411447\pi\) | ||||
0.274622 | + | 0.961552i | \(0.411447\pi\) | |||||||
\(308\) | 1.80542 | + | 1.04236i | 0.102873 | + | 0.0593940i | ||||
\(309\) | −6.49026 | + | 11.0282i | −0.369218 | + | 0.627371i | ||||
\(310\) | −0.912072 | + | 0.526585i | −0.0518022 | + | 0.0299080i | ||||
\(311\) | −8.06663 | − | 13.9718i | −0.457417 | − | 0.792269i | 0.541407 | − | 0.840761i | \(-0.317892\pi\) |
−0.998824 | + | 0.0484919i | \(0.984558\pi\) | |||||||
\(312\) | −5.03407 | − | 2.96264i | −0.284998 | − | 0.167726i | ||||
\(313\) | 25.7025 | + | 14.8394i | 1.45279 | + | 0.838770i | 0.998639 | − | 0.0521529i | \(-0.0166083\pi\) |
0.454154 | + | 0.890923i | \(0.349942\pi\) | |||||||
\(314\) | −4.77030 | −0.269204 | ||||||||
\(315\) | −3.76672 | − | 2.25925i | −0.212231 | − | 0.127295i | ||||
\(316\) | − | 9.37982i | − | 0.527656i | ||||||
\(317\) | 20.6815 | + | 11.9405i | 1.16159 | + | 0.670644i | 0.951684 | − | 0.307078i | \(-0.0993512\pi\) |
0.209905 | + | 0.977722i | \(0.432685\pi\) | |||||||
\(318\) | −25.3966 | − | 0.211667i | −1.42417 | − | 0.0118697i | ||||
\(319\) | −16.9553 | + | 9.78912i | −0.949312 | + | 0.548086i | ||||
\(320\) | −7.24311 | − | 12.5454i | −0.404902 | − | 0.701311i | ||||
\(321\) | −27.3815 | + | 15.5059i | −1.52829 | + | 0.865455i | ||||
\(322\) | 0.379700 | − | 0.657660i | 0.0211599 | − | 0.0366500i | ||||
\(323\) | 3.07312i | 0.170993i | ||||||||
\(324\) | −7.59970 | + | 12.2046i | −0.422206 | + | 0.678036i | ||||
\(325\) | 23.2644i | 1.29048i | ||||||||
\(326\) | −15.3733 | + | 26.6274i | −0.851450 | + | 1.47475i | ||||
\(327\) | −4.07132 | + | 2.30555i | −0.225144 | + | 0.127497i | ||||
\(328\) | 0.427254 | + | 0.740025i | 0.0235911 | + | 0.0408610i | ||||
\(329\) | −1.16295 | − | 2.01428i | −0.0641154 | − | 0.111051i | ||||
\(330\) | 30.0616 | + | 0.250548i | 1.65484 | + | 0.0137922i | ||||
\(331\) | −27.1331 | − | 15.6653i | −1.49137 | − | 0.861043i | −0.491420 | − | 0.870923i | \(-0.663522\pi\) |
−0.999951 | + | 0.00987954i | \(0.996855\pi\) | |||||||
\(332\) | − | 22.7471i | − | 1.24841i | ||||||
\(333\) | −8.79934 | + | 14.6706i | −0.482201 | + | 0.803945i | ||||
\(334\) | − | 24.5868i | − | 1.34533i | ||||||
\(335\) | −4.94609 | − | 25.7566i | −0.270234 | − | 1.40723i | ||||
\(336\) | 3.16693 | + | 1.86379i | 0.172770 | + | 0.101678i | ||||
\(337\) | 6.43150 | − | 3.71323i | 0.350346 | − | 0.202272i | −0.314492 | − | 0.949260i | \(-0.601834\pi\) |
0.664838 | + | 0.746988i | \(0.268501\pi\) | |||||||
\(338\) | 6.17622 | + | 10.6975i | 0.335942 | + | 0.581869i | ||||
\(339\) | 12.9830 | − | 22.0606i | 0.705142 | − | 1.19817i | ||||
\(340\) | −7.14631 | − | 4.12592i | −0.387563 | − | 0.223760i | ||||
\(341\) | 0.494923i | 0.0268016i | ||||||||
\(342\) | 5.26606 | + | 9.48266i | 0.284756 | + | 0.512764i | ||||
\(343\) | − | 6.30174i | − | 0.340262i | ||||||
\(344\) | 0.242490 | + | 0.140002i | 0.0130742 | + | 0.00754839i | ||||
\(345\) | 0.0405276 | − | 4.86265i | 0.00218193 | − | 0.261796i | ||||
\(346\) | −38.1401 | + | 22.0202i | −2.05043 | + | 1.18381i | ||||
\(347\) | 0.401576 | + | 0.695550i | 0.0215577 | + | 0.0373391i | 0.876603 | − | 0.481214i | \(-0.159804\pi\) |
−0.855045 | + | 0.518553i | \(0.826471\pi\) | |||||||
\(348\) | 16.5051 | − | 9.34669i | 0.884767 | − | 0.501035i | ||||
\(349\) | −11.4058 | + | 19.7555i | −0.610540 | + | 1.05749i | 0.380610 | + | 0.924736i | \(0.375714\pi\) |
−0.991150 | + | 0.132750i | \(0.957619\pi\) | |||||||
\(350\) | − | 4.56448i | − | 0.243982i | ||||||
\(351\) | −20.1586 | + | 10.9760i | −1.07599 | + | 0.585853i | ||||
\(352\) | −20.7901 | −1.10811 | ||||||||
\(353\) | 10.5327 | − | 18.2432i | 0.560599 | − | 0.970986i | −0.436845 | − | 0.899537i | \(-0.643904\pi\) |
0.997444 | − | 0.0714495i | \(-0.0227625\pi\) | |||||||
\(354\) | −9.17311 | + | 5.19465i | −0.487545 | + | 0.276092i | ||||
\(355\) | 36.8296 | − | 21.2636i | 1.95471 | − | 1.12856i | ||||
\(356\) | −22.2048 | + | 12.8200i | −1.17685 | + | 0.679457i | ||||
\(357\) | 1.27586 | + | 0.0106336i | 0.0675257 | + | 0.000562791i | ||||
\(358\) | 2.59381 | − | 4.49262i | 0.137087 | − | 0.237442i | ||||
\(359\) | − | 26.4861i | − | 1.39788i | −0.715180 | − | 0.698940i | \(-0.753655\pi\) | ||
0.715180 | − | 0.698940i | \(-0.246345\pi\) | |||||||
\(360\) | 7.33763 | + | 0.122319i | 0.386727 | + | 0.00644678i | ||||
\(361\) | −15.3662 | −0.808748 | ||||||||
\(362\) | 7.37485 | − | 12.7736i | 0.387614 | − | 0.671367i | ||||
\(363\) | −2.49796 | + | 4.24451i | −0.131109 | + | 0.222779i | ||||
\(364\) | −1.61221 | − | 2.79243i | −0.0845029 | − | 0.146363i | ||||
\(365\) | −15.4726 | − | 26.7993i | −0.809872 | − | 1.40274i | ||||
\(366\) | −15.3366 | − | 9.02585i | −0.801657 | − | 0.471789i | ||||
\(367\) | −17.9163 | − | 10.3440i | −0.935224 | − | 0.539952i | −0.0467639 | − | 0.998906i | \(-0.514891\pi\) |
−0.888460 | + | 0.458954i | \(0.848224\pi\) | |||||||
\(368\) | 4.06830i | 0.212075i | ||||||||
\(369\) | 3.35734 | + | 0.0559672i | 0.174776 | + | 0.00291354i | ||||
\(370\) | −34.6554 | −1.80165 | ||||||||
\(371\) | 3.05928 | + | 1.76628i | 0.158830 | + | 0.0917005i | ||||
\(372\) | 0.00399618 | − | 0.479476i | 0.000207192 | − | 0.0248597i | ||||
\(373\) | 16.6874 | − | 9.63448i | 0.864041 | − | 0.498854i | −0.00132232 | − | 0.999999i | \(-0.500421\pi\) |
0.865363 | + | 0.501145i | \(0.167088\pi\) | |||||||
\(374\) | −7.56281 | + | 4.36639i | −0.391064 | + | 0.225781i | ||||
\(375\) | −0.729204 | − | 1.28768i | −0.0376559 | − | 0.0664957i | ||||
\(376\) | 3.36545 | + | 1.94305i | 0.173560 | + | 0.100205i | ||||
\(377\) | 30.2815 | 1.55958 | ||||||||
\(378\) | 3.95512 | − | 2.15349i | 0.203430 | − | 0.110763i | ||||
\(379\) | − | 15.9505i | − | 0.819321i | −0.912238 | − | 0.409660i | \(-0.865647\pi\) | ||
0.912238 | − | 0.409660i | \(-0.134353\pi\) | |||||||
\(380\) | −4.87866 | + | 8.45009i | −0.250270 | + | 0.433480i | ||||
\(381\) | 3.76880 | + | 6.65523i | 0.193081 | + | 0.340958i | ||||
\(382\) | −5.41553 | − | 9.37997i | −0.277083 | − | 0.479921i | ||||
\(383\) | −6.71256 | − | 11.6265i | −0.342996 | − | 0.594086i | 0.641992 | − | 0.766712i | \(-0.278108\pi\) |
−0.984988 | + | 0.172625i | \(0.944775\pi\) | |||||||
\(384\) | −10.3641 | − | 0.0863791i | −0.528890 | − | 0.00440801i | ||||
\(385\) | −3.62123 | − | 2.09072i | −0.184555 | − | 0.106553i | ||||
\(386\) | 17.6549 | 0.898609 | ||||||||
\(387\) | 0.961909 | − | 0.534182i | 0.0488966 | − | 0.0271540i | ||||
\(388\) | − | 1.72823i | − | 0.0877374i | ||||||
\(389\) | −2.52612 | − | 1.45846i | −0.128080 | − | 0.0739468i | 0.434591 | − | 0.900628i | \(-0.356893\pi\) |
−0.562671 | + | 0.826681i | \(0.690226\pi\) | |||||||
\(390\) | −40.0731 | − | 23.5837i | −2.02918 | − | 1.19421i | ||||
\(391\) | 0.706290 | + | 1.22333i | 0.0357186 | + | 0.0618665i | ||||
\(392\) | 2.59238 | + | 4.49013i | 0.130935 | + | 0.226786i | ||||
\(393\) | −5.85543 | − | 3.44602i | −0.295367 | − | 0.173829i | ||||
\(394\) | 0.802768 | − | 1.39044i | 0.0404429 | − | 0.0700491i | ||||
\(395\) | 18.8136i | 0.946615i | ||||||||
\(396\) | −7.04017 | + | 11.7377i | −0.353782 | + | 0.589840i | ||||
\(397\) | −25.1215 | −1.26081 | −0.630407 | − | 0.776265i | \(-0.717112\pi\) | ||||
−0.630407 | + | 0.776265i | \(0.717112\pi\) | |||||||
\(398\) | −10.6200 | + | 18.3945i | −0.532335 | + | 0.922031i | ||||
\(399\) | 0.0125736 | − | 1.50863i | 0.000629469 | − | 0.0755260i | ||||
\(400\) | 12.2265 | + | 21.1770i | 0.611327 | + | 1.05885i | ||||
\(401\) | 16.1677 | + | 28.0032i | 0.807375 | + | 1.39842i | 0.914676 | + | 0.404188i | \(0.132446\pi\) |
−0.107300 | + | 0.994227i | \(0.534221\pi\) | |||||||
\(402\) | 25.3312 | + | 9.02362i | 1.26340 | + | 0.450057i | ||||
\(403\) | 0.382747 | − | 0.662938i | 0.0190660 | − | 0.0330233i | ||||
\(404\) | 26.9489 | 1.34076 | ||||||||
\(405\) | 15.2431 | − | 24.4795i | 0.757437 | − | 1.21640i | ||||
\(406\) | −5.94125 | −0.294859 | ||||||||
\(407\) | −8.14292 | + | 14.1040i | −0.403630 | + | 0.699107i | ||||
\(408\) | −1.85499 | + | 1.05046i | −0.0918357 | + | 0.0520057i | ||||
\(409\) | 19.1812 | − | 11.0743i | 0.948451 | − | 0.547588i | 0.0558516 | − | 0.998439i | \(-0.482213\pi\) |
0.892599 | + | 0.450851i | \(0.148879\pi\) | |||||||
\(410\) | 3.40109 | + | 5.89087i | 0.167968 | + | 0.290929i | ||||
\(411\) | −23.3905 | − | 0.194948i | −1.15377 | − | 0.00961606i | ||||
\(412\) | 5.90105 | − | 10.2209i | 0.290724 | − | 0.503548i | ||||
\(413\) | 1.46627 | 0.0721505 | ||||||||
\(414\) | 4.27567 | + | 2.56452i | 0.210138 | + | 0.126039i | ||||
\(415\) | 45.6251i | 2.23965i | ||||||||
\(416\) | 27.8478 | + | 16.0779i | 1.36535 | + | 0.788285i | ||||
\(417\) | −10.3292 | − | 6.07893i | −0.505825 | − | 0.297687i | ||||
\(418\) | 5.16300 | + | 8.94258i | 0.252531 | + | 0.437396i | ||||
\(419\) | 27.8406 | − | 16.0738i | 1.36010 | − | 0.785256i | 0.370466 | − | 0.928846i | \(-0.379198\pi\) |
0.989637 | + | 0.143590i | \(0.0458646\pi\) | |||||||
\(420\) | 3.49133 | + | 2.05470i | 0.170359 | + | 0.100259i | ||||
\(421\) | 0.293522 | − | 0.508395i | 0.0143054 | − | 0.0247776i | −0.858784 | − | 0.512338i | \(-0.828780\pi\) |
0.873089 | + | 0.487560i | \(0.162113\pi\) | |||||||
\(422\) | −36.0173 | −1.75330 | ||||||||
\(423\) | 13.3501 | − | 7.41377i | 0.649103 | − | 0.360470i | ||||
\(424\) | −5.90217 | −0.286635 | ||||||||
\(425\) | 7.35300 | + | 4.24526i | 0.356673 | + | 0.205925i | ||||
\(426\) | −0.363392 | + | 43.6011i | −0.0176064 | + | 2.11248i | ||||
\(427\) | 1.23759 | + | 2.14357i | 0.0598911 | + | 0.103734i | ||||
\(428\) | 25.1341 | − | 14.5112i | 1.21490 | − | 0.701425i | ||||
\(429\) | −19.0139 | + | 10.7674i | −0.918000 | + | 0.519855i | ||||
\(430\) | 1.93031 | + | 1.11447i | 0.0930879 | + | 0.0537443i | ||||
\(431\) | 9.03217i | 0.435065i | 0.976053 | + | 0.217532i | \(0.0698007\pi\) | ||||
−0.976053 | + | 0.217532i | \(0.930199\pi\) | |||||||
\(432\) | −12.5815 | + | 20.5854i | −0.605326 | + | 0.990418i | ||||
\(433\) | 20.3732i | 0.979074i | 0.871983 | + | 0.489537i | \(0.162834\pi\) | ||||
−0.871983 | + | 0.489537i | \(0.837166\pi\) | |||||||
\(434\) | −0.0750952 | + | 0.130069i | −0.00360469 | + | 0.00624350i | ||||
\(435\) | −33.1052 | + | 18.7472i | −1.58727 | + | 0.898857i | ||||
\(436\) | 3.73716 | − | 2.15765i | 0.178977 | − | 0.103333i | ||||
\(437\) | 1.44652 | − | 0.835147i | 0.0691963 | − | 0.0399505i | ||||
\(438\) | 31.7266 | + | 0.264424i | 1.51596 | + | 0.0126347i | ||||
\(439\) | −2.82400 | + | 4.89131i | −0.134782 | + | 0.233450i | −0.925514 | − | 0.378713i | \(-0.876367\pi\) |
0.790732 | + | 0.612162i | \(0.209700\pi\) | |||||||
\(440\) | 6.98632 | 0.333060 | ||||||||
\(441\) | 20.3708 | + | 0.339583i | 0.970038 | + | 0.0161706i | ||||
\(442\) | 13.5069 | 0.642459 | ||||||||
\(443\) | −6.70686 | + | 11.6166i | −0.318653 | + | 0.551922i | −0.980207 | − | 0.197975i | \(-0.936564\pi\) |
0.661555 | + | 0.749897i | \(0.269897\pi\) | |||||||
\(444\) | 8.00266 | − | 13.5980i | 0.379789 | − | 0.645333i | ||||
\(445\) | 44.5374 | − | 25.7137i | 2.11127 | − | 1.21895i | ||||
\(446\) | −21.5407 | − | 37.3096i | −1.01998 | − | 1.76666i | ||||
\(447\) | −6.68835 | − | 3.93621i | −0.316348 | − | 0.186176i | ||||
\(448\) | −1.78908 | − | 1.03292i | −0.0845260 | − | 0.0488011i | ||||
\(449\) | − | 32.4125i | − | 1.52964i | −0.644244 | − | 0.764820i | \(-0.722828\pi\) | ||
0.644244 | − | 0.764820i | \(-0.277172\pi\) | |||||||
\(450\) | 29.9636 | + | 0.499497i | 1.41250 | + | 0.0235465i | ||||
\(451\) | 3.19660 | 0.150522 | ||||||||
\(452\) | −11.8044 | + | 20.4458i | −0.555231 | + | 0.961689i | ||||
\(453\) | 19.3671 | + | 0.161415i | 0.909947 | + | 0.00758393i | ||||
\(454\) | 31.3681 | − | 18.1104i | 1.47218 | − | 0.849963i | ||||
\(455\) | 3.23370 | + | 5.60093i | 0.151598 | + | 0.262576i | ||||
\(456\) | 1.24211 | + | 2.19342i | 0.0581672 | + | 0.102716i | ||||
\(457\) | 8.41141 | − | 14.5690i | 0.393469 | − | 0.681508i | −0.599435 | − | 0.800423i | \(-0.704608\pi\) |
0.992904 | + | 0.118915i | \(0.0379415\pi\) | |||||||
\(458\) | 44.4168i | 2.07546i | ||||||||
\(459\) | −0.209424 | + | 8.37425i | −0.00977506 | + | 0.390877i | ||||
\(460\) | 4.48502i | 0.209115i | ||||||||
\(461\) | −12.6808 | − | 7.32129i | −0.590606 | − | 0.340986i | 0.174731 | − | 0.984616i | \(-0.444094\pi\) |
−0.765337 | + | 0.643630i | \(0.777428\pi\) | |||||||
\(462\) | 3.73054 | − | 2.11257i | 0.173560 | − | 0.0982857i | ||||
\(463\) | 17.3630 | − | 10.0245i | 0.806926 | − | 0.465879i | −0.0389613 | − | 0.999241i | \(-0.512405\pi\) |
0.845887 | + | 0.533362i | \(0.179072\pi\) | |||||||
\(464\) | 27.5646 | − | 15.9144i | 1.27965 | − | 0.738807i | ||||
\(465\) | −0.00801535 | + | 0.961711i | −0.000371703 | + | 0.0445983i | ||||
\(466\) | 3.00881 | − | 5.21142i | 0.139381 | − | 0.241414i | ||||
\(467\) | − | 23.8540i | − | 1.10383i | −0.833899 | − | 0.551917i | \(-0.813897\pi\) | ||
0.833899 | − | 0.551917i | \(-0.186103\pi\) | |||||||
\(468\) | 18.5074 | − | 10.2778i | 0.855506 | − | 0.475093i | ||||
\(469\) | −2.44740 | − | 2.82832i | −0.113010 | − | 0.130599i | ||||
\(470\) | 26.7902 | + | 15.4674i | 1.23574 | + | 0.713456i | ||||
\(471\) | −2.20946 | + | 3.75429i | −0.101807 | + | 0.172988i | ||||
\(472\) | −2.12162 | + | 1.22492i | −0.0976555 | + | 0.0563814i | ||||
\(473\) | 0.907124 | − | 0.523728i | 0.0417096 | − | 0.0240810i | ||||
\(474\) | −16.6241 | − | 9.78357i | −0.763571 | − | 0.449374i | ||||
\(475\) | 5.01977 | − | 8.69449i | 0.230323 | − | 0.398930i | ||||
\(476\) | −1.17678 | −0.0539376 | ||||||||
\(477\) | −11.9295 | + | 19.8894i | −0.546216 | + | 0.910674i | ||||
\(478\) | 43.1411 | 1.97323 | ||||||||
\(479\) | 9.31266 | + | 5.37667i | 0.425506 | + | 0.245666i | 0.697430 | − | 0.716652i | \(-0.254327\pi\) |
−0.271924 | + | 0.962319i | \(0.587660\pi\) | |||||||
\(480\) | −40.3982 | − | 0.336698i | −1.84392 | − | 0.0153681i | ||||
\(481\) | 21.8145 | − | 12.5946i | 0.994656 | − | 0.574265i | ||||
\(482\) | 28.3021 | + | 49.0206i | 1.28912 | + | 2.23283i | ||||
\(483\) | −0.341721 | − | 0.603438i | −0.0155489 | − | 0.0274574i | ||||
\(484\) | 2.27119 | − | 3.93381i | 0.103236 | − | 0.178810i | ||||
\(485\) | 3.46639i | 0.157401i | ||||||||
\(486\) | 13.7038 | + | 26.1991i | 0.621617 | + | 1.18842i | ||||
\(487\) | 15.9044i | 0.720695i | 0.932818 | + | 0.360348i | \(0.117342\pi\) | ||||
−0.932818 | + | 0.360348i | \(0.882658\pi\) | |||||||
\(488\) | −3.58146 | − | 2.06776i | −0.162125 | − | 0.0936029i | ||||
\(489\) | 13.8356 | + | 24.4320i | 0.625668 | + | 1.10485i | ||||
\(490\) | 20.6363 | + | 35.7430i | 0.932251 | + | 1.61471i | ||||
\(491\) | −21.7395 | + | 12.5513i | −0.981090 | + | 0.566433i | −0.902599 | − | 0.430482i | \(-0.858344\pi\) |
−0.0784911 | + | 0.996915i | \(0.525010\pi\) | |||||||
\(492\) | −3.09683 | − | 0.0258104i | −0.139616 | − | 0.00116362i | ||||
\(493\) | 5.52574 | − | 9.57086i | 0.248867 | − | 0.431050i | ||||
\(494\) | − | 15.9712i | − | 0.718576i | ||||||
\(495\) | 14.1208 | − | 23.5428i | 0.634684 | − | 1.05817i | ||||
\(496\) | − | 0.804608i | − | 0.0361280i | ||||||
\(497\) | 3.03236 | − | 5.25220i | 0.136020 | − | 0.235593i | ||||
\(498\) | −40.3153 | − | 23.7262i | −1.80657 | − | 1.06320i | ||||
\(499\) | 20.4814 | − | 11.8249i | 0.916873 | − | 0.529357i | 0.0342366 | − | 0.999414i | \(-0.489100\pi\) |
0.882636 | + | 0.470057i | \(0.155767\pi\) | |||||||
\(500\) | 0.682426 | + | 1.18200i | 0.0305190 | + | 0.0528605i | ||||
\(501\) | −19.3502 | − | 11.3879i | −0.864501 | − | 0.508773i | ||||
\(502\) | 28.2656 | − | 48.9575i | 1.26156 | − | 2.18508i | ||||
\(503\) | −8.03710 | −0.358357 | −0.179178 | − | 0.983817i | \(-0.557344\pi\) | ||||
−0.179178 | + | 0.983817i | \(0.557344\pi\) | |||||||
\(504\) | 0.914935 | − | 0.508096i | 0.0407544 | − | 0.0226324i | ||||
\(505\) | −54.0528 | −2.40532 | ||||||||
\(506\) | 4.11052 | + | 2.37321i | 0.182735 | + | 0.105502i | ||||
\(507\) | 11.2797 | + | 0.0940106i | 0.500951 | + | 0.00417516i | ||||
\(508\) | −3.52703 | − | 6.10900i | −0.156487 | − | 0.271043i | ||||
\(509\) | 34.6385 | − | 19.9985i | 1.53532 | − | 0.886419i | 0.536220 | − | 0.844078i | \(-0.319852\pi\) |
0.999103 | − | 0.0423410i | \(-0.0134816\pi\) | |||||||
\(510\) | −14.7664 | + | 8.36208i | −0.653867 | + | 0.370279i | ||||
\(511\) | −3.82179 | − | 2.20651i | −0.169066 | − | 0.0976104i | ||||
\(512\) | 26.7095 | 1.18040 | ||||||||
\(513\) | 9.90206 | + | 0.247631i | 0.437186 | + | 0.0109332i | ||||
\(514\) | 11.0516i | 0.487465i | ||||||||
\(515\) | −11.8360 | + | 20.5006i | −0.521558 | + | 0.903365i | ||||
\(516\) | −0.883041 | + | 0.500058i | −0.0388737 | + | 0.0220138i | ||||
\(517\) | 12.5897 | − | 7.26868i | 0.553695 | − | 0.319676i | ||||
\(518\) | −4.28002 | + | 2.47107i | −0.188053 | + | 0.108573i | ||||
\(519\) | −0.335178 | + | 40.2159i | −0.0147127 | + | 1.76528i | ||||
\(520\) | −9.35800 | − | 5.40285i | −0.410376 | − | 0.236930i | ||||
\(521\) | −34.3301 | −1.50403 | −0.752014 | − | 0.659147i | \(-0.770917\pi\) | ||||
−0.752014 | + | 0.659147i | \(0.770917\pi\) | |||||||
\(522\) | 0.650158 | − | 39.0015i | 0.0284567 | − | 1.70705i | ||||
\(523\) | 3.79123 | 0.165779 | 0.0828894 | − | 0.996559i | \(-0.473585\pi\) | ||||
0.0828894 | + | 0.996559i | \(0.473585\pi\) | |||||||
\(524\) | 5.42682 | + | 3.13317i | 0.237072 | + | 0.136873i | ||||
\(525\) | −3.59231 | − | 2.11413i | −0.156781 | − | 0.0922683i | ||||
\(526\) | 9.19825 | − | 5.31061i | 0.401063 | − | 0.231554i | ||||
\(527\) | −0.139687 | − | 0.241944i | −0.00608484 | − | 0.0105393i | ||||
\(528\) | −11.6491 | + | 19.7940i | −0.506963 | + | 0.861425i | ||||
\(529\) | −11.1161 | + | 19.2537i | −0.483310 | + | 0.837117i | ||||
\(530\) | −46.9834 | −2.04083 | ||||||||
\(531\) | −0.160456 | + | 9.62536i | −0.00696318 | + | 0.417705i | ||||
\(532\) | 1.39147i | 0.0603279i | ||||||||
\(533\) | −4.28177 | − | 2.47208i | −0.185464 | − | 0.107078i | ||||
\(534\) | −0.439443 | + | 52.7260i | −0.0190166 | + | 2.28168i | ||||
\(535\) | −50.4129 | + | 29.1059i | −2.17954 | + | 1.25836i | ||||
\(536\) | 5.90403 | + | 2.04788i | 0.255015 | + | 0.0884550i | ||||
\(537\) | −2.33437 | − | 4.12221i | −0.100736 | − | 0.177887i | ||||
\(538\) | 27.2997 | + | 15.7615i | 1.17697 | + | 0.679525i | ||||
\(539\) | 19.3955 | 0.835422 | ||||||||
\(540\) | −13.8702 | + | 22.6940i | −0.596879 | + | 0.976596i | ||||
\(541\) | − | 44.4635i | − | 1.91163i | −0.293963 | − | 0.955817i | \(-0.594974\pi\) | ||
0.293963 | − | 0.955817i | \(-0.405026\pi\) | |||||||
\(542\) | 28.8729 | + | 16.6698i | 1.24020 | + | 0.716028i | ||||
\(543\) | −6.63719 | − | 11.7205i | −0.284829 | − | 0.502973i | ||||
\(544\) | 10.1633 | − | 5.86776i | 0.435746 | − | 0.251578i | ||||
\(545\) | −7.49582 | + | 4.32771i | −0.321085 | + | 0.185379i | ||||
\(546\) | −6.63072 | − | 0.0552635i | −0.283768 | − | 0.00236506i | ||||
\(547\) | −1.50969 | − | 0.871620i | −0.0645497 | − | 0.0372678i | 0.467378 | − | 0.884058i | \(-0.345199\pi\) |
−0.531928 | + | 0.846790i | \(0.678532\pi\) | |||||||
\(548\) | 21.5740 | 0.921598 | ||||||||
\(549\) | −14.2069 | + | 7.88960i | −0.606336 | + | 0.336720i | ||||
\(550\) | 28.5290 | 1.21648 | ||||||||
\(551\) | −11.3170 | − | 6.53386i | −0.482120 | − | 0.278352i | ||||
\(552\) | 0.998563 | + | 0.587671i | 0.0425017 | + | 0.0250129i | ||||
\(553\) | 1.34148 | + | 2.32352i | 0.0570457 | + | 0.0988061i | ||||
\(554\) | 4.01039 | + | 6.94620i | 0.170385 | + | 0.295116i | ||||
\(555\) | −16.0514 | + | 27.2743i | −0.681342 | + | 1.15773i | ||||
\(556\) | 9.57315 | + | 5.52706i | 0.405992 | + | 0.234400i | ||||
\(557\) | − | 13.1379i | − | 0.556669i | −0.960484 | − | 0.278334i | \(-0.910218\pi\) | ||
0.960484 | − | 0.278334i | \(-0.0897824\pi\) | |||||||
\(558\) | −0.845621 | − | 0.507198i | −0.0357980 | − | 0.0214714i | ||||
\(559\) | −1.62009 | −0.0685227 | ||||||||
\(560\) | 5.88712 | + | 3.39893i | 0.248776 | + | 0.143631i | ||||
\(561\) | −0.0664625 | + | 7.97441i | −0.00280605 | + | 0.336680i | ||||
\(562\) | −13.8106 | − | 23.9206i | −0.582564 | − | 1.00903i | ||||
\(563\) | −7.04388 | − | 12.2004i | −0.296864 | − | 0.514184i | 0.678553 | − | 0.734552i | \(-0.262607\pi\) |
−0.975417 | + | 0.220368i | \(0.929274\pi\) | |||||||
\(564\) | −12.2555 | + | 6.94016i | −0.516049 | + | 0.292234i | ||||
\(565\) | 23.6767 | − | 41.0092i | 0.996085 | − | 1.72527i | ||||
\(566\) | −38.0662 | −1.60004 | ||||||||
\(567\) | 0.137072 | − | 4.11016i | 0.00575647 | − | 0.172611i | ||||
\(568\) | 10.1329i | 0.425167i | ||||||||
\(569\) | −1.44330 | − | 0.833288i | −0.0605062 | − | 0.0349333i | 0.469442 | − | 0.882963i | \(-0.344455\pi\) |
−0.529948 | + | 0.848030i | \(0.677789\pi\) | |||||||
\(570\) | 9.88766 | + | 17.4604i | 0.414149 | + | 0.731335i | ||||
\(571\) | −17.2178 | − | 29.8221i | −0.720541 | − | 1.24801i | −0.960783 | − | 0.277301i | \(-0.910560\pi\) |
0.240242 | − | 0.970713i | \(-0.422773\pi\) | |||||||
\(572\) | 17.4533 | − | 10.0767i | 0.729760 | − | 0.421327i | ||||
\(573\) | −9.89047 | − | 0.0824318i | −0.413180 | − | 0.00344364i | ||||
\(574\) | 0.840085 | + | 0.485023i | 0.0350645 | + | 0.0202445i | ||||
\(575\) | − | 4.61474i | − | 0.192448i | ||||||
\(576\) | 6.97644 | − | 11.6314i | 0.290685 | − | 0.484642i | ||||
\(577\) | 31.7443i | 1.32153i | 0.750592 | + | 0.660766i | \(0.229768\pi\) | ||||
−0.750592 | + | 0.660766i | \(0.770232\pi\) | |||||||
\(578\) | −13.6573 | + | 23.6551i | −0.568067 | + | 0.983921i | ||||
\(579\) | 8.17720 | − | 13.8946i | 0.339833 | − | 0.577440i | ||||
\(580\) | 30.3880 | − | 17.5445i | 1.26179 | − | 0.728497i | ||||
\(581\) | 3.25325 | + | 5.63479i | 0.134967 | + | 0.233770i | ||||
\(582\) | −3.06298 | − | 1.80262i | −0.126965 | − | 0.0747208i | ||||
\(583\) | −11.0396 | + | 19.1212i | −0.457214 | + | 0.791918i | ||||
\(584\) | 7.37326 | 0.305108 | ||||||||
\(585\) | −37.1213 | + | 20.6148i | −1.53478 | + | 0.852316i | ||||
\(586\) | 31.4116i | 1.29760i | ||||||||
\(587\) | −19.8028 | + | 34.2995i | −0.817350 | + | 1.41569i | 0.0902778 | + | 0.995917i | \(0.471225\pi\) |
−0.907628 | + | 0.419775i | \(0.862109\pi\) | |||||||
\(588\) | −18.7901 | − | 0.156606i | −0.774891 | − | 0.00645831i | ||||
\(589\) | −0.286085 | + | 0.165171i | −0.0117879 | + | 0.00680576i | ||||
\(590\) | −16.8889 | + | 9.75079i | −0.695304 | + | 0.401434i | ||||
\(591\) | −0.722472 | − | 1.27580i | −0.0297185 | − | 0.0524793i | ||||
\(592\) | 13.2381 | − | 22.9291i | 0.544084 | − | 0.942381i | ||||
\(593\) | 3.19534 | 0.131217 | 0.0656083 | − | 0.997845i | \(-0.479101\pi\) | ||||
0.0656083 | + | 0.997845i | \(0.479101\pi\) | |||||||
\(594\) | 13.4598 | + | 24.7204i | 0.552261 | + | 1.01429i | ||||
\(595\) | 2.36033 | 0.0967640 | ||||||||
\(596\) | 6.19877 | + | 3.57886i | 0.253911 | + | 0.146596i | ||||
\(597\) | 9.55779 | + | 16.8779i | 0.391174 | + | 0.690765i | ||||
\(598\) | −3.67063 | − | 6.35771i | −0.150103 | − | 0.259986i | ||||
\(599\) | 13.1938 | + | 22.8523i | 0.539083 | + | 0.933720i | 0.998954 | + | 0.0457335i | \(0.0145625\pi\) |
−0.459870 | + | 0.887986i | \(0.652104\pi\) | |||||||
\(600\) | 6.96403 | + | 0.0580415i | 0.284305 | + | 0.00236953i | ||||
\(601\) | −3.13227 | + | 5.42524i | −0.127768 | + | 0.221300i | −0.922811 | − | 0.385252i | \(-0.874115\pi\) |
0.795044 | + | 0.606552i | \(0.207448\pi\) | |||||||
\(602\) | 0.317863 | 0.0129551 | ||||||||
\(603\) | 18.8344 | − | 15.7565i | 0.766994 | − | 0.641654i | ||||
\(604\) | −17.8631 | −0.726839 | ||||||||
\(605\) | −4.55544 | + | 7.89025i | −0.185205 | + | 0.320784i | ||||
\(606\) | 28.1089 | − | 47.7623i | 1.14185 | − | 1.94021i | ||||
\(607\) | 8.92313 | + | 15.4553i | 0.362179 | + | 0.627312i | 0.988319 | − | 0.152398i | \(-0.0486997\pi\) |
−0.626140 | + | 0.779710i | \(0.715366\pi\) | |||||||
\(608\) | −6.93828 | − | 12.0175i | −0.281384 | − | 0.487372i | ||||
\(609\) | −2.75181 | + | 4.67584i | −0.111509 | + | 0.189475i | ||||
\(610\) | −28.5097 | − | 16.4601i | −1.15432 | − | 0.666450i | ||||
\(611\) | −22.4848 | −0.909639 | ||||||||
\(612\) | 0.128776 | − | 7.72499i | 0.00520547 | − | 0.312264i | ||||
\(613\) | 0.717798 | 0.0289916 | 0.0144958 | − | 0.999895i | \(-0.495386\pi\) | ||||
0.0144958 | + | 0.999895i | \(0.495386\pi\) | |||||||
\(614\) | −9.12649 | + | 15.8076i | −0.368315 | + | 0.637941i | ||||
\(615\) | 6.21147 | + | 0.0517693i | 0.250471 | + | 0.00208754i | ||||
\(616\) | 0.862825 | − | 0.498152i | 0.0347642 | − | 0.0200711i | ||||
\(617\) | −38.0599 | + | 21.9739i | −1.53223 | + | 0.884635i | −0.532974 | + | 0.846132i | \(0.678926\pi\) |
−0.999258 | + | 0.0385029i | \(0.987741\pi\) | |||||||
\(618\) | −11.9598 | − | 21.1195i | −0.481092 | − | 0.849549i | ||||
\(619\) | 11.6870 | − | 20.2424i | 0.469738 | − | 0.813611i | −0.529663 | − | 0.848208i | \(-0.677682\pi\) |
0.999401 | + | 0.0345975i | \(0.0110149\pi\) | |||||||
\(620\) | − | 0.887025i | − | 0.0356238i | ||||||
\(621\) | 3.99867 | − | 2.17720i | 0.160461 | − | 0.0873680i | ||||
\(622\) | 30.6000 | 1.22695 | ||||||||
\(623\) | 3.66697 | − | 6.35139i | 0.146914 | − | 0.254463i | ||||
\(624\) | 30.9114 | − | 17.5048i | 1.23744 | − | 0.700754i | ||||
\(625\) | 11.7978 | + | 20.4345i | 0.471913 | + | 0.817378i | ||||
\(626\) | −48.7501 | + | 28.1459i | −1.94845 | + | 1.12494i | ||||
\(627\) | 9.42927 | + | 0.0785880i | 0.376569 | + | 0.00313850i | ||||
\(628\) | 2.00888 | − | 3.47948i | 0.0801629 | − | 0.138846i | ||||
\(629\) | − | 9.19300i | − | 0.366549i | ||||||
\(630\) | 7.28322 | − | 4.04463i | 0.290170 | − | 0.161142i | ||||
\(631\) | − | 11.1611i | − | 0.444316i | −0.975011 | − | 0.222158i | \(-0.928690\pi\) | ||
0.975011 | − | 0.222158i | \(-0.0713101\pi\) | |||||||
\(632\) | −3.88212 | − | 2.24134i | −0.154423 | − | 0.0891559i | ||||
\(633\) | −16.6821 | + | 28.3461i | −0.663056 | + | 1.12666i | ||||
\(634\) | −39.2267 | + | 22.6475i | −1.55789 | + | 0.899449i | ||||
\(635\) | 7.07435 | + | 12.2531i | 0.280737 | + | 0.486251i | ||||
\(636\) | 10.8495 | − | 18.4353i | 0.430209 | − | 0.731005i | ||||
\(637\) | −25.9798 | − | 14.9994i | −1.02936 | − | 0.594299i | ||||
\(638\) | − | 37.1341i | − | 1.47015i | ||||||
\(639\) | 34.1463 | + | 20.4807i | 1.35081 | + | 0.810205i | ||||
\(640\) | −19.1734 | −0.757896 | ||||||||
\(641\) | 19.5677 | − | 33.8922i | 0.772877 | − | 1.33866i | −0.163102 | − | 0.986609i | \(-0.552150\pi\) |
0.935980 | − | 0.352054i | \(-0.114517\pi\) | |||||||
\(642\) | 0.497416 | − | 59.6817i | 0.0196314 | − | 2.35545i | ||||
\(643\) | 4.26041 | + | 7.37924i | 0.168014 | + | 0.291009i | 0.937722 | − | 0.347388i | \(-0.112931\pi\) |
−0.769707 | + | 0.638397i | \(0.779598\pi\) | |||||||
\(644\) | 0.319800 | + | 0.553910i | 0.0126019 | + | 0.0218271i | ||||
\(645\) | 1.77116 | − | 1.00299i | 0.0697394 | − | 0.0394928i | ||||
\(646\) | −5.04788 | − | 2.91440i | −0.198606 | − | 0.114665i | ||||
\(647\) | 26.3946 | 1.03768 | 0.518840 | − | 0.854872i | \(-0.326364\pi\) | ||||
0.518840 | + | 0.854872i | \(0.326364\pi\) | |||||||
\(648\) | 3.23528 | + | 6.06171i | 0.127094 | + | 0.238126i | ||||
\(649\) | 9.16451i | 0.359738i | ||||||||
\(650\) | −38.2139 | − | 22.0628i | −1.49887 | − | 0.865375i | ||||
\(651\) | 0.0675839 | + | 0.119345i | 0.00264882 | + | 0.00467749i | ||||
\(652\) | −12.9481 | − | 22.4267i | −0.507086 | − | 0.878298i | ||||
\(653\) | −11.3635 | − | 19.6822i | −0.444690 | − | 0.770226i | 0.553341 | − | 0.832955i | \(-0.313353\pi\) |
−0.998031 | + | 0.0627294i | \(0.980019\pi\) | |||||||
\(654\) | 0.0739600 | − | 8.87399i | 0.00289207 | − | 0.347001i | ||||
\(655\) | −10.8849 | − | 6.28437i | −0.425306 | − | 0.245551i | ||||
\(656\) | −5.19678 | −0.202900 | ||||||||
\(657\) | 14.9029 | − | 24.8468i | 0.581418 | − | 0.969365i | ||||
\(658\) | 4.41154 | 0.171980 | ||||||||
\(659\) | 31.9442 | + | 18.4430i | 1.24437 | + | 0.718437i | 0.969981 | − | 0.243182i | \(-0.0781913\pi\) |
0.274388 | + | 0.961619i | \(0.411525\pi\) | |||||||
\(660\) | −12.8424 | + | 21.8216i | −0.499888 | + | 0.849403i | ||||
\(661\) | −40.0988 | + | 23.1510i | −1.55966 | + | 0.900471i | −0.562372 | + | 0.826884i | \(0.690111\pi\) |
−0.997289 | + | 0.0735861i | \(0.976556\pi\) | |||||||
\(662\) | 51.4635 | − | 29.7125i | 2.00019 | − | 1.15481i | ||||
\(663\) | 6.25601 | − | 10.6301i | 0.242963 | − | 0.412840i | ||||
\(664\) | −9.41457 | − | 5.43551i | −0.365356 | − | 0.210939i | ||||
\(665\) | − | 2.79095i | − | 0.108228i | ||||||
\(666\) | −15.7530 | − | 28.3667i | −0.610417 | − | 1.09919i | ||||
\(667\) | −6.00667 | −0.232579 | ||||||||
\(668\) | 17.9337 | + | 10.3540i | 0.693877 | + | 0.400610i | ||||
\(669\) | −39.3402 | − | 0.327880i | −1.52098 | − | 0.0126766i | ||||
\(670\) | 46.9982 | + | 16.3019i | 1.81570 | + | 0.629797i | ||||
\(671\) | −13.3978 | + | 7.73520i | −0.517215 | + | 0.298614i | ||||
\(672\) | −5.01327 | + | 2.83897i | −0.193391 | + | 0.109516i | ||||
\(673\) | −37.2036 | − | 21.4795i | −1.43409 | − | 0.827974i | −0.436663 | − | 0.899625i | \(-0.643840\pi\) |
−0.997430 | + | 0.0716508i | \(0.977173\pi\) | |||||||
\(674\) | 14.0858i | 0.542564i | ||||||||
\(675\) | 14.2714 | − | 23.3504i | 0.549305 | − | 0.898758i | ||||
\(676\) | −10.4038 | −0.400145 | ||||||||
\(677\) | 7.90074 | − | 13.6845i | 0.303650 | − | 0.525937i | −0.673310 | − | 0.739360i | \(-0.735128\pi\) |
0.976960 | + | 0.213423i | \(0.0684613\pi\) | |||||||
\(678\) | 23.9241 | + | 42.2471i | 0.918801 | + | 1.62249i | ||||
\(679\) | 0.247168 | + | 0.428107i | 0.00948543 | + | 0.0164292i | ||||
\(680\) | −3.41527 | + | 1.97181i | −0.130970 | + | 0.0756154i | ||||
\(681\) | 0.275665 | − | 33.0753i | 0.0105635 | − | 1.26745i | ||||
\(682\) | −0.812958 | − | 0.469361i | −0.0311298 | − | 0.0179728i | ||||
\(683\) | −6.64064 | −0.254097 | −0.127049 | − | 0.991896i | \(-0.540550\pi\) | ||||
−0.127049 | + | 0.991896i | \(0.540550\pi\) | |||||||
\(684\) | −9.13434 | − | 0.152270i | −0.349260 | − | 0.00582220i | ||||
\(685\) | −43.2722 | −1.65335 | ||||||||
\(686\) | 10.3512 | + | 5.97626i | 0.395210 | + | 0.228175i | ||||
\(687\) | 34.9566 | + | 20.5725i | 1.33368 | + | 0.784890i | ||||
\(688\) | −1.47473 | + | 0.851437i | −0.0562236 | + | 0.0324607i | ||||
\(689\) | 29.5746 | − | 17.0749i | 1.12670 | − | 0.650502i | ||||
\(690\) | 7.94893 | + | 4.67808i | 0.302611 | + | 0.178091i | ||||
\(691\) | −5.80897 | + | 10.0614i | −0.220984 | + | 0.382755i | −0.955107 | − | 0.296261i | \(-0.904260\pi\) |
0.734123 | + | 0.679016i | \(0.237593\pi\) | |||||||
\(692\) | − | 37.0927i | − | 1.41005i | ||||||
\(693\) | 0.0652545 | − | 3.91446i | 0.00247881 | − | 0.148698i | ||||
\(694\) | −1.52334 | −0.0578253 | ||||||||
\(695\) | −19.2014 | − | 11.0859i | −0.728349 | − | 0.420513i | ||||
\(696\) | 0.0755483 | − | 9.06457i | 0.00286365 | − | 0.343591i | ||||
\(697\) | −1.56266 | + | 0.902204i | −0.0591901 | + | 0.0341734i | ||||
\(698\) | −21.6335 | − | 37.4703i | −0.818839 | − | 1.41827i | ||||
\(699\) | −2.70786 | − | 4.78175i | −0.102421 | − | 0.180862i | ||||
\(700\) | 3.32935 | + | 1.92220i | 0.125838 | + | 0.0726524i | ||||
\(701\) | 43.3295 | 1.63653 | 0.818265 | − | 0.574841i | \(-0.194936\pi\) | ||||
0.818265 | + | 0.574841i | \(0.194936\pi\) | |||||||
\(702\) | 1.08839 | − | 43.5214i | 0.0410785 | − | 1.64261i | ||||
\(703\) | −10.8702 | −0.409976 | ||||||||
\(704\) | 6.45601 | − | 11.1821i | 0.243320 | − | 0.421442i | ||||
\(705\) | 24.5814 | − | 13.9202i | 0.925791 | − | 0.524267i | ||||
\(706\) | 19.9774 | + | 34.6019i | 0.751860 | + | 1.30226i | ||||
\(707\) | −6.67564 | + | 3.85418i | −0.251063 | + | 0.144951i | ||||
\(708\) | 0.0739974 | − | 8.87848i | 0.00278099 | − | 0.333674i | ||||
\(709\) | 12.5915 | − | 21.8091i | 0.472883 | − | 0.819057i | −0.526636 | − | 0.850091i | \(-0.676547\pi\) |
0.999518 | + | 0.0310342i | \(0.00988009\pi\) | |||||||
\(710\) | 80.6615i | 3.02717i | ||||||||
\(711\) | −15.3996 | + | 8.55194i | −0.577530 | + | 0.320723i | ||||
\(712\) | 12.2535i | 0.459220i | ||||||||
\(713\) | −0.0759221 | + | 0.131501i | −0.00284330 | + | 0.00492475i | ||||
\(714\) | −1.22743 | + | 2.08564i | −0.0459355 | + | 0.0780530i | ||||
\(715\) | −35.0070 | + | 20.2113i | −1.30919 | + | 0.755861i | ||||
\(716\) | 2.18462 | + | 3.78388i | 0.0816432 | + | 0.141410i | ||||
\(717\) | 19.9817 | − | 33.9526i | 0.746230 | − | 1.26798i | ||||
\(718\) | 43.5058 | + | 25.1181i | 1.62362 | + | 0.937399i | ||||
\(719\) | − | 0.864498i | − | 0.0322404i | −0.999870 | − | 0.0161202i | \(-0.994869\pi\) | ||
0.999870 | − | 0.0161202i | \(-0.00513143\pi\) | |||||||
\(720\) | −22.9566 | + | 38.2741i | −0.855541 | + | 1.42639i | ||||
\(721\) | 3.37583i | 0.125722i | ||||||||
\(722\) | 14.5726 | − | 25.2405i | 0.542335 | − | 0.939353i | ||||
\(723\) | 51.6885 | + | 0.430797i | 1.92232 | + | 0.0160215i | ||||
\(724\) | 6.21142 | + | 10.7585i | 0.230846 | + | 0.399836i | ||||
\(725\) | −31.2669 | + | 18.0520i | −1.16122 | + | 0.670433i | ||||
\(726\) | −4.60305 | − | 8.12843i | −0.170835 | − | 0.301674i | ||||
\(727\) | 9.13057 | + | 5.27154i | 0.338634 | + | 0.195510i | 0.659668 | − | 0.751557i | \(-0.270697\pi\) |
−0.321034 | + | 0.947068i | \(0.604030\pi\) | |||||||
\(728\) | −1.54098 | −0.0571124 | ||||||||
\(729\) | 26.9662 | + | 1.34959i | 0.998750 | + | 0.0499848i | ||||
\(730\) | 58.6938 | 2.17236 | ||||||||
\(731\) | −0.295633 | + | 0.512051i | −0.0109344 | + | 0.0189389i | ||||
\(732\) | 13.0421 | − | 7.38560i | 0.482049 | − | 0.272980i | ||||
\(733\) | −8.58497 | + | 4.95653i | −0.317093 | + | 0.183074i | −0.650096 | − | 0.759852i | \(-0.725271\pi\) |
0.333003 | + | 0.942926i | \(0.391938\pi\) | |||||||
\(734\) | 33.9819 | − | 19.6195i | 1.25430 | − | 0.724168i | ||||
\(735\) | 37.6883 | + | 0.314112i | 1.39015 | + | 0.0115862i | ||||
\(736\) | −5.52391 | − | 3.18923i | −0.203614 | − | 0.117557i | ||||
\(737\) | 17.6776 | − | 15.2968i | 0.651162 | − | 0.563464i | ||||
\(738\) | −3.27587 | + | 5.46167i | −0.120587 | + | 0.201047i | ||||
\(739\) | − | 28.3165i | − | 1.04164i | −0.853667 | − | 0.520819i | \(-0.825627\pi\) | ||
0.853667 | − | 0.520819i | \(-0.174373\pi\) | |||||||
\(740\) | 14.5941 | − | 25.2778i | 0.536491 | − | 0.929230i | ||||
\(741\) | −12.5695 | − | 7.39736i | −0.461752 | − | 0.271749i | ||||
\(742\) | −5.80255 | + | 3.35011i | −0.213018 | + | 0.122986i | ||||
\(743\) | −30.8272 | + | 17.7981i | −1.13094 | + | 0.652948i | −0.944171 | − | 0.329456i | \(-0.893135\pi\) |
−0.186768 | + | 0.982404i | \(0.559801\pi\) | |||||||
\(744\) | −0.197491 | − | 0.116227i | −0.00724036 | − | 0.00426107i | ||||
\(745\) | −12.4332 | − | 7.17831i | −0.455517 | − | 0.262993i | ||||
\(746\) | 36.5475i | 1.33810i | ||||||||
\(747\) | −37.3457 | + | 20.7394i | −1.36641 | + | 0.758814i | ||||
\(748\) | − | 7.35512i | − | 0.268930i | ||||||
\(749\) | −4.15073 | + | 7.18927i | −0.151664 | + | 0.262690i | ||||
\(750\) | 2.80668 | + | 0.0233922i | 0.102486 | + | 0.000854163i | ||||
\(751\) | 4.72459 | + | 8.18323i | 0.172403 | + | 0.298610i | 0.939259 | − | 0.343208i | \(-0.111514\pi\) |
−0.766857 | + | 0.641818i | \(0.778180\pi\) | |||||||
\(752\) | −20.4674 | + | 11.8169i | −0.746369 | + | 0.430916i | ||||
\(753\) | −25.4384 | − | 44.9211i | −0.927027 | − | 1.63702i | ||||
\(754\) | −28.7176 | + | 49.7403i | −1.04583 | + | 1.81143i | ||||
\(755\) | 35.8289 | 1.30395 | ||||||||
\(756\) | −0.0948245 | + | 3.79176i | −0.00344874 | + | 0.137905i | ||||
\(757\) | − | 1.71365i | − | 0.0622836i | −0.999515 | − | 0.0311418i | \(-0.990086\pi\) | ||
0.999515 | − | 0.0311418i | \(-0.00991435\pi\) | |||||||
\(758\) | 26.2002 | + | 15.1267i | 0.951632 | + | 0.549425i | ||||
\(759\) | 3.77162 | − | 2.13583i | 0.136901 | − | 0.0775258i | ||||
\(760\) | 2.33155 | + | 4.03836i | 0.0845742 | + | 0.146487i | ||||
\(761\) | 34.0345 | − | 19.6498i | 1.23375 | − | 0.712305i | 0.265940 | − | 0.963990i | \(-0.414318\pi\) |
0.967809 | + | 0.251684i | \(0.0809844\pi\) | |||||||
\(762\) | −14.5060 | − | 0.120900i | −0.525497 | − | 0.00437974i | ||||
\(763\) | −0.617166 | + | 1.06896i | −0.0223429 | + | 0.0386991i | ||||
\(764\) | 9.12239 | 0.330036 | ||||||||
\(765\) | −0.258293 | + | 15.4944i | −0.00933861 | + | 0.560202i | ||||
\(766\) | 25.4635 | 0.920033 | ||||||||
\(767\) | 7.08734 | − | 12.2756i | 0.255909 | − | 0.443248i | ||||
\(768\) | 17.9142 | − | 30.4395i | 0.646422 | − | 1.09839i | ||||
\(769\) | 5.81866 | − | 3.35941i | 0.209826 | − | 0.121143i | −0.391404 | − | 0.920219i | \(-0.628011\pi\) |
0.601231 | + | 0.799076i | \(0.294677\pi\) | |||||||
\(770\) | 6.86840 | − | 3.96547i | 0.247520 | − | 0.142906i | ||||
\(771\) | 8.69776 | + | 5.11877i | 0.313242 | + | 0.184348i | ||||
\(772\) | −7.43484 | + | 12.8775i | −0.267586 | + | 0.463472i | ||||
\(773\) | − | 20.2023i | − | 0.726625i | −0.931667 | − | 0.363313i | \(-0.881646\pi\) | ||
0.931667 | − | 0.363313i | \(-0.118354\pi\) | |||||||
\(774\) | −0.0347841 | + | 2.08662i | −0.00125029 | + | 0.0750020i | ||||
\(775\) | 0.912681i | 0.0327845i | ||||||||
\(776\) | −0.715278 | − | 0.412966i | −0.0256770 | − | 0.0148246i | ||||
\(777\) | −0.0376131 | + | 4.51295i | −0.00134936 | + | 0.161901i | ||||
\(778\) | 4.79131 | − | 2.76626i | 0.171777 | − | 0.0991754i | ||||
\(779\) | 1.06680 | + | 1.84776i | 0.0382222 | + | 0.0662028i | ||||
\(780\) | 34.0776 | − | 19.2979i | 1.22018 | − | 0.690974i | ||||
\(781\) | 32.8274 | + | 18.9529i | 1.17466 | + | 0.678188i | ||||
\(782\) | −2.67925 | −0.0958097 | ||||||||
\(783\) | −30.3935 | − | 18.5760i | −1.08618 | − | 0.663852i | ||||
\(784\) | −31.5316 | −1.12613 | ||||||||
\(785\) | −4.02931 | + | 6.97897i | −0.143812 | + | 0.249090i | ||||
\(786\) | 11.2134 | − | 6.35006i | 0.399969 | − | 0.226499i | ||||
\(787\) | 17.2563 | − | 9.96291i | 0.615119 | − | 0.355139i | −0.159847 | − | 0.987142i | \(-0.551100\pi\) |
0.774966 | + | 0.632002i | \(0.217767\pi\) | |||||||
\(788\) | 0.676126 | + | 1.17108i | 0.0240860 | + | 0.0417182i | ||||
\(789\) | 0.0808349 | − | 9.69886i | 0.00287780 | − | 0.345289i | ||||
\(790\) | −30.9031 | − | 17.8419i | −1.09948 | − | 0.634787i | ||||
\(791\) | − | 6.75296i | − | 0.240108i | ||||||
\(792\) | 3.17571 | + | 5.71854i | 0.112844 | + | 0.203200i | ||||
\(793\) | 23.9280 | 0.849707 | ||||||||
\(794\) | 23.8241 | − | 41.2645i | 0.845484 | − | 1.46442i | ||||
\(795\) | −21.7613 | + | 36.9766i | −0.771794 | + | 1.31142i | ||||
\(796\) | −8.94466 | − | 15.4926i | −0.317035 | − | 0.549121i | ||||
\(797\) | −12.9727 | + | 7.48979i | −0.459517 | + | 0.265302i | −0.711841 | − | 0.702341i | \(-0.752138\pi\) |
0.252324 | + | 0.967643i | \(0.418805\pi\) | |||||||
\(798\) | 2.46614 | + | 1.45137i | 0.0873005 | + | 0.0513778i | ||||
\(799\) | −4.10300 | + | 7.10661i | −0.145154 | + | 0.251414i | ||||
\(800\) | −38.3386 | −1.35548 | ||||||||
\(801\) | 41.2925 | + | 24.7670i | 1.45900 | + | 0.875098i | ||||
\(802\) | −61.3306 | −2.16566 | ||||||||
\(803\) | 13.7912 | − | 23.8870i | 0.486681 | − | 0.842955i | ||||
\(804\) | −17.2494 | + | 14.6766i | −0.608338 | + | 0.517605i | ||||
\(805\) | −0.641439 | − | 1.11101i | −0.0226078 | − | 0.0391578i | ||||
\(806\) | 0.725958 | + | 1.25740i | 0.0255708 | + | 0.0442899i | ||||
\(807\) | 25.0489 | − | 14.1849i | 0.881762 | − | 0.499334i | ||||
\(808\) | 6.43954 | − | 11.1536i | 0.226542 | − | 0.392383i | ||||
\(809\) | −4.98431 | −0.175239 | −0.0876195 | − | 0.996154i | \(-0.527926\pi\) | ||||
−0.0876195 | + | 0.996154i | \(0.527926\pi\) | |||||||
\(810\) | 25.7540 | + | 48.2534i | 0.904904 | + | 1.69545i | ||||
\(811\) | 31.2840i | 1.09853i | 0.835648 | + | 0.549265i | \(0.185092\pi\) | ||||
−0.835648 | + | 0.549265i | \(0.814908\pi\) | |||||||
\(812\) | 2.50199 | − | 4.33357i | 0.0878026 | − | 0.152079i | ||||
\(813\) | 26.4924 | − | 15.0024i | 0.929128 | − | 0.526157i | ||||
\(814\) | −15.4447 | − | 26.7510i | −0.541337 | − | 0.937623i | ||||
\(815\) | 25.9706 | + | 44.9824i | 0.909711 | + | 1.57567i | ||||
\(816\) | 0.108050 | − | 12.9642i | 0.00378249 | − | 0.453837i | ||||
\(817\) | 0.605470 | + | 0.349568i | 0.0211827 | + | 0.0122298i | ||||
\(818\) | 42.0093i | 1.46882i | ||||||||
\(819\) | −3.11464 | + | 5.19286i | −0.108834 | + | 0.181453i | ||||
\(820\) | −5.72910 | −0.200069 | ||||||||
\(821\) | −14.4538 | − | 8.34492i | −0.504442 | − | 0.291240i | 0.226104 | − | 0.974103i | \(-0.427401\pi\) |
−0.730546 | + | 0.682864i | \(0.760734\pi\) | |||||||
\(822\) | 22.5027 | − | 38.2363i | 0.784871 | − | 1.33364i | ||||
\(823\) | −12.8650 | − | 22.2828i | −0.448446 | − | 0.776731i | 0.549839 | − | 0.835271i | \(-0.314689\pi\) |
−0.998285 | + | 0.0585394i | \(0.981356\pi\) | |||||||
\(824\) | −2.82016 | − | 4.88465i | −0.0982448 | − | 0.170165i | ||||
\(825\) | 13.2138 | − | 22.4527i | 0.460045 | − | 0.781703i | ||||
\(826\) | −1.39054 | + | 2.40849i | −0.0483831 | + | 0.0838020i | ||||
\(827\) | − | 43.9644i | − | 1.52879i | −0.644746 | − | 0.764397i | \(-0.723037\pi\) | ||
0.644746 | − | 0.764397i | \(-0.276963\pi\) | |||||||
\(828\) | −3.67115 | + | 2.03872i | −0.127581 | + | 0.0708503i | ||||
\(829\) | −14.2194 | −0.493859 | −0.246930 | − | 0.969033i | \(-0.579422\pi\) | ||||
−0.246930 | + | 0.969033i | \(0.579422\pi\) | |||||||
\(830\) | −74.9434 | − | 43.2686i | −2.60132 | − | 1.50188i | ||||
\(831\) | 7.32425 | + | 0.0610437i | 0.254075 | + | 0.00211758i | ||||
\(832\) | −17.2953 | + | 9.98546i | −0.599608 | + | 0.346184i | ||||
\(833\) | −9.48151 | + | 5.47415i | −0.328515 | + | 0.189668i | ||||
\(834\) | 19.7810 | − | 11.2018i | 0.684959 | − | 0.387886i | ||||
\(835\) | −35.9706 | − | 20.7677i | −1.24482 | − | 0.718694i | ||||
\(836\) | −8.69700 | −0.300792 | ||||||||
\(837\) | −0.790837 | + | 0.430596i | −0.0273353 | + | 0.0148836i | ||||
\(838\) | 60.9745i | 2.10633i | ||||||||
\(839\) | −48.8820 | − | 28.2221i | −1.68760 | − | 0.974334i | −0.956352 | − | 0.292217i | \(-0.905607\pi\) |
−0.731243 | − | 0.682117i | \(-0.761060\pi\) | |||||||
\(840\) | 1.68467 | − | 0.954012i | 0.0581265 | − | 0.0329165i | ||||
\(841\) | 8.99693 | + | 15.5831i | 0.310239 | + | 0.537350i | ||||
\(842\) | 0.556724 | + | 0.964274i | 0.0191860 | + | 0.0332311i | ||||
\(843\) | −25.2225 | − | 0.210216i | −0.868708 | − | 0.00724022i | ||||
\(844\) | 15.1677 | − | 26.2712i | 0.522093 | − | 0.904291i | ||||
\(845\) | 20.8674 | 0.717859 | ||||||||
\(846\) | −0.482759 | + | 28.9596i | −0.0165976 | + | 0.995652i | ||||
\(847\) | 1.29928i | 0.0446439i | ||||||||
\(848\) | 17.9474 | − | 31.0857i | 0.616315 | − | 1.06749i | ||||
\(849\) | −17.6311 | + | 29.9586i | −0.605098 | + | 1.02818i | ||||
\(850\) | −13.9465 | + | 8.05199i | −0.478360 | + | 0.276181i | ||||
\(851\) | −4.32714 | + | 2.49828i | −0.148333 | + | 0.0856398i | ||||
\(852\) | −31.6498 | − | 18.6264i | −1.08430 | − | 0.638131i | ||||
\(853\) | −6.08926 | + | 10.5469i | −0.208492 | + | 0.361119i | −0.951240 | − | 0.308452i | \(-0.900189\pi\) |
0.742748 | + | 0.669572i | \(0.233522\pi\) | |||||||
\(854\) | −4.69468 | −0.160649 | ||||||||
\(855\) | 18.3212 | + | 0.305417i | 0.626573 | + | 0.0104450i | ||||
\(856\) | − | 13.8700i | − | 0.474068i | ||||||
\(857\) | 5.79592 | − | 10.0388i | 0.197985 | − | 0.342920i | −0.749890 | − | 0.661562i | \(-0.769894\pi\) |
0.947875 | + | 0.318643i | \(0.103227\pi\) | |||||||
\(858\) | 0.345409 | − | 41.4434i | 0.0117921 | − | 1.41486i | ||||
\(859\) | −0.0230068 | − | 0.0398490i | −0.000784983 | − | 0.00135963i | 0.865633 | − | 0.500680i | \(-0.166917\pi\) |
−0.866418 | + | 0.499320i | \(0.833583\pi\) | |||||||
\(860\) | −1.62579 | + | 0.938651i | −0.0554390 | + | 0.0320077i | ||||
\(861\) | 0.770821 | − | 0.436509i | 0.0262695 | − | 0.0148762i | ||||
\(862\) | −14.8362 | − | 8.56568i | −0.505323 | − | 0.291748i | ||||
\(863\) | 31.9148i | 1.08639i | 0.839605 | + | 0.543197i | \(0.182786\pi\) | ||||
−0.839605 | + | 0.543197i | \(0.817214\pi\) | |||||||
\(864\) | −18.0879 | − | 33.2204i | −0.615362 | − | 1.13018i | ||||
\(865\) | 74.3988i | 2.52964i | ||||||||
\(866\) | −33.4649 | − | 19.3210i | −1.13718 | − | 0.656553i | ||||
\(867\) | 12.2912 | + | 21.7048i | 0.417431 | + | 0.737132i | ||||
\(868\) | −0.0632484 | − | 0.109549i | −0.00214679 | − | 0.00371835i | ||||
\(869\) | −14.5225 | + | 8.38457i | −0.492642 | + | 0.284427i | ||||
\(870\) | 0.601392 | − | 72.1572i | 0.0203891 | − | 2.44636i | ||||
\(871\) | −35.5084 | + | 6.81876i | −1.20316 | + | 0.231045i | ||||
\(872\) | − | 2.06231i | − | 0.0698388i | ||||||
\(873\) | −2.83736 | + | 1.57569i | −0.0960302 | + | 0.0533290i | ||||
\(874\) | 3.16805i | 0.107161i | ||||||||
\(875\) | −0.338094 | − | 0.195199i | −0.0114297 | − | 0.00659891i | ||||
\(876\) | −13.5536 | + | 23.0302i | −0.457935 | + | 0.778117i | ||||
\(877\) | 22.5246 | + | 39.0137i | 0.760600 | + | 1.31740i | 0.942542 | + | 0.334089i | \(0.108429\pi\) |
−0.181941 | + | 0.983309i | \(0.558238\pi\) | |||||||
\(878\) | −5.35630 | − | 9.27738i | −0.180766 | − | 0.313096i | ||||
\(879\) | 24.7213 | + | 14.5489i | 0.833830 | + | 0.490723i | ||||
\(880\) | −21.2440 | + | 36.7958i | −0.716137 | + | 1.24038i | ||||
\(881\) | − | 7.89087i | − | 0.265850i | −0.991126 | − | 0.132925i | \(-0.957563\pi\) | ||
0.991126 | − | 0.132925i | \(-0.0424369\pi\) | |||||||
\(882\) | −19.8765 | + | 33.1389i | −0.669276 | + | 1.11584i | ||||
\(883\) | − | 53.6582i | − | 1.80574i | −0.429912 | − | 0.902871i | \(-0.641455\pi\) | ||
0.429912 | − | 0.902871i | \(-0.358545\pi\) | |||||||
\(884\) | −5.68806 | + | 9.85201i | −0.191310 | + | 0.331359i | ||||
\(885\) | −0.148420 | + | 17.8080i | −0.00498910 | + | 0.598610i | ||||
\(886\) | −12.7209 | − | 22.0333i | −0.427368 | − | 0.740223i | ||||
\(887\) | −36.1074 | + | 20.8466i | −1.21237 | + | 0.699961i | −0.963274 | − | 0.268519i | \(-0.913466\pi\) |
−0.249093 | + | 0.968480i | \(0.580133\pi\) | |||||||
\(888\) | −3.71568 | − | 6.56144i | −0.124690 | − | 0.220187i | ||||
\(889\) | 1.74739 | + | 1.00886i | 0.0586057 | + | 0.0338360i | ||||
\(890\) | 97.5424i | 3.26963i | ||||||||
\(891\) | 25.6894 | + | 0.856728i | 0.860628 | + | 0.0287015i | ||||
\(892\) | 36.2851 | 1.21491 | ||||||||
\(893\) | 8.40315 | + | 4.85156i | 0.281201 | + | 0.162351i | ||||
\(894\) | 12.8085 | − | 7.25334i | 0.428380 | − | 0.242588i | ||||
\(895\) | −4.38181 | − | 7.58952i | −0.146468 | − | 0.253690i | ||||
\(896\) | −2.36796 | + | 1.36714i | −0.0791079 | + | 0.0456730i | ||||
\(897\) | −6.70373 | − | 0.0558720i | −0.223831 | − | 0.00186551i | ||||
\(898\) | 53.2406 | + | 30.7385i | 1.77666 | + | 1.02576i | ||||
\(899\) | 1.18797 | 0.0396210 | ||||||||
\(900\) | −12.9827 | + | 21.6452i | −0.432756 | + | 0.721508i | ||||
\(901\) | − | 12.4632i | − | 0.415210i | ||||||
\(902\) | −3.03150 | + | 5.25071i | −0.100938 | + | 0.174830i | ||||
\(903\) | 0.147225 | − | 0.250162i | 0.00489933 | − | 0.00832489i | ||||
\(904\) | 5.64140 | + | 9.77120i | 0.187630 | + | 0.324985i | ||||
\(905\) | −12.4586 | − | 21.5789i | −0.414137 | − | 0.717306i | ||||
\(906\) | −18.6320 | + | 31.6592i | −0.619006 | + | 1.05181i | ||||
\(907\) | −8.90953 | + | 15.4318i | −0.295836 | + | 0.512403i | −0.975179 | − | 0.221418i | \(-0.928932\pi\) |
0.679343 | + | 0.733821i | \(0.262265\pi\) | |||||||
\(908\) | 30.5067i | 1.01240i | ||||||||
\(909\) | −24.5703 | − | 44.2441i | −0.814946 | − | 1.46749i | ||||
\(910\) | −12.2667 | −0.406639 | ||||||||
\(911\) | −13.8011 | − | 7.96805i | −0.457250 | − | 0.263993i | 0.253637 | − | 0.967299i | \(-0.418373\pi\) |
−0.710887 | + | 0.703306i | \(0.751706\pi\) | |||||||
\(912\) | −15.3294 | − | 0.127762i | −0.507606 | − | 0.00423063i | ||||
\(913\) | −35.2187 | + | 20.3335i | −1.16557 | + | 0.672941i | ||||
\(914\) | 15.9540 | + | 27.6331i | 0.527710 | + | 0.914020i | ||||
\(915\) | −26.1592 | + | 14.8137i | −0.864795 | + | 0.489725i | ||||
\(916\) | −32.3978 | − | 18.7049i | −1.07045 | − | 0.618026i | ||||
\(917\) | −1.79240 | −0.0591903 | ||||||||
\(918\) | −13.5569 | − | 8.28573i | −0.447444 | − | 0.273470i | ||||
\(919\) | − | 19.8347i | − | 0.654287i | −0.944975 | − | 0.327143i | \(-0.893914\pi\) | ||
0.944975 | − | 0.327143i | \(-0.106086\pi\) | |||||||
\(920\) | 1.85626 | + | 1.07171i | 0.0611991 | + | 0.0353333i | ||||
\(921\) | 8.21363 | + | 14.5043i | 0.270648 | + | 0.477931i | ||||
\(922\) | 24.0518 | − | 13.8863i | 0.792104 | − | 0.457322i | ||||
\(923\) | −29.3143 | − | 50.7739i | −0.964893 | − | 1.67124i | ||||
\(924\) | −0.0300934 | + | 3.61072i | −0.000990001 | + | 0.118784i | ||||
\(925\) | −15.0162 | + | 26.0089i | −0.493731 | + | 0.855167i | ||||
\(926\) | 38.0271i | 1.24965i | ||||||||
\(927\) | −22.1607 | − | 0.369421i | −0.727852 | − | 0.0121334i | ||||
\(928\) | 49.9026i | 1.63813i | ||||||||
\(929\) | 4.03805 | − | 6.99411i | 0.132484 | − | 0.229469i | −0.792149 | − | 0.610327i | \(-0.791038\pi\) |
0.924634 | + | 0.380858i | \(0.124371\pi\) | |||||||
\(930\) | −1.57210 | − | 0.925206i | −0.0515512 | − | 0.0303387i | ||||
\(931\) | 6.47286 | + | 11.2113i | 0.212139 | + | 0.367436i | ||||
\(932\) | 2.53415 | + | 4.38928i | 0.0830089 | + | 0.143776i | ||||
\(933\) | 14.1730 | − | 24.0826i | 0.464004 | − | 0.788429i | ||||
\(934\) | 39.1825 | + | 22.6220i | 1.28209 | + | 0.740215i | ||||
\(935\) | 14.7526i | 0.482460i | ||||||||
\(936\) | 0.168631 | − | 10.1158i | 0.00551188 | − | 0.330644i | ||||
\(937\) | − | 8.35933i | − | 0.273087i | −0.990634 | − | 0.136544i | \(-0.956401\pi\) | ||
0.990634 | − | 0.136544i | \(-0.0435994\pi\) | |||||||
\(938\) | 6.96677 | − | 1.33784i | 0.227473 | − | 0.0436822i | ||||
\(939\) | −0.428419 | + | 51.4033i | −0.0139809 | + | 1.67748i | ||||
\(940\) | −22.5639 | + | 13.0273i | −0.735953 | + | 0.424903i | ||||
\(941\) | −17.9107 | − | 31.0223i | −0.583873 | − | 1.01130i | −0.995015 | − | 0.0997267i | \(-0.968203\pi\) |
0.411142 | − | 0.911571i | \(-0.365130\pi\) | |||||||
\(942\) | −4.07142 | − | 7.18963i | −0.132654 | − | 0.234251i | ||||
\(943\) | 0.849335 | + | 0.490364i | 0.0276581 | + | 0.0159684i | ||||
\(944\) | − | 14.8990i | − | 0.484920i | ||||||
\(945\) | 0.190195 | − | 7.60534i | 0.00618703 | − | 0.247402i | ||||
\(946\) | 1.98671i | 0.0645937i | ||||||||
\(947\) | −42.4311 | − | 24.4976i | −1.37883 | − | 0.796065i | −0.386807 | − | 0.922161i | \(-0.626422\pi\) |
−0.992018 | + | 0.126095i | \(0.959755\pi\) | |||||||
\(948\) | 14.1369 | − | 8.00562i | 0.459147 | − | 0.260011i | ||||
\(949\) | −36.9459 | + | 21.3307i | −1.19932 | + | 0.692425i | ||||
\(950\) | 9.52101 | + | 16.4909i | 0.308902 | + | 0.535034i | ||||
\(951\) | −0.344727 | + | 41.3616i | −0.0111785 | + | 1.34124i | ||||
\(952\) | −0.281196 | + | 0.487045i | −0.00911361 | + | 0.0157852i | ||||
\(953\) | − | 46.5239i | − | 1.50706i | −0.657415 | − | 0.753529i | \(-0.728350\pi\) | ||
0.657415 | − | 0.753529i | \(-0.271650\pi\) | |||||||
\(954\) | −21.3568 | − | 38.4576i | −0.691453 | − | 1.24511i | ||||
\(955\) | −18.2972 | −0.592085 | ||||||||
\(956\) | −18.1677 | + | 31.4673i | −0.587584 | + | 1.01773i | ||||
\(957\) | −29.2250 | − | 17.1994i | −0.944711 | − | 0.555978i | ||||
\(958\) | −17.6634 | + | 10.1979i | −0.570677 | + | 0.329481i | ||||
\(959\) | −5.34421 | + | 3.08548i | −0.172573 | + | 0.0996353i | ||||
\(960\) | 12.7261 | − | 21.6240i | 0.410733 | − | 0.697912i | ||||
\(961\) | −15.4850 | + | 26.8208i | −0.499516 | + | 0.865186i | ||||
\(962\) | 47.7765i | 1.54038i | ||||||||
\(963\) | −46.7399 | − | 28.0343i | −1.50617 | − | 0.903392i | ||||
\(964\) | −47.6744 | −1.53549 | ||||||||
\(965\) | 14.9124 | − | 25.8291i | 0.480049 | − | 0.831469i | ||||
\(966\) | 1.31527 | + | 0.0109621i | 0.0423183 | + | 0.000352700i | ||||
\(967\) | 4.19164 | + | 7.26013i | 0.134794 | + | 0.233470i | 0.925519 | − | 0.378702i | \(-0.123629\pi\) |
−0.790725 | + | 0.612172i | \(0.790296\pi\) | |||||||
\(968\) | −1.08542 | − | 1.88000i | −0.0348867 | − | 0.0604255i | ||||
\(969\) | −4.63170 | + | 2.62289i | −0.148792 | + | 0.0842593i | ||||
\(970\) | −5.69388 | − | 3.28736i | −0.182819 | − | 0.105551i | ||||
\(971\) | 32.3893i | 1.03942i | 0.854342 | + | 0.519712i | \(0.173961\pi\) | ||||
−0.854342 | + | 0.519712i | \(0.826039\pi\) | |||||||
\(972\) | −24.8807 | − | 1.03741i | −0.798049 | − | 0.0332751i | ||||
\(973\) | −3.16188 | −0.101365 | ||||||||
\(974\) | −26.1244 | − | 15.0829i | −0.837080 | − | 0.483288i | ||||
\(975\) | −35.0633 | + | 19.8560i | −1.12292 | + | 0.635901i | ||||
\(976\) | 21.7810 | − | 12.5753i | 0.697194 | − | 0.402525i | ||||
\(977\) | 28.1853 | − | 16.2728i | 0.901727 | − | 0.520612i | 0.0239670 | − | 0.999713i | \(-0.492370\pi\) |
0.877760 | + | 0.479100i | \(0.159037\pi\) | |||||||
\(978\) | −53.2529 | − | 0.443835i | −1.70284 | − | 0.0141923i | ||||
\(979\) | 39.6975 | + | 22.9194i | 1.26874 | + | 0.732507i | ||||
\(980\) | −34.7615 | −1.11041 | ||||||||
\(981\) | −6.94969 | − | 4.16838i | −0.221887 | − | 0.133086i | ||||
\(982\) | − | 47.6122i | − | 1.51937i | ||||||
\(983\) | 21.4098 | − | 37.0829i | 0.682868 | − | 1.18276i | −0.291234 | − | 0.956652i | \(-0.594066\pi\) |
0.974102 | − | 0.226110i | \(-0.0726010\pi\) | |||||||
\(984\) | −0.750682 | + | 1.27555i | −0.0239309 | + | 0.0406630i | ||||
\(985\) | −1.35614 | − | 2.34891i | −0.0432103 | − | 0.0748424i | ||||
\(986\) | 10.4807 | + | 18.1531i | 0.333773 | + | 0.578112i | ||||
\(987\) | 2.04329 | − | 3.47193i | 0.0650387 | − | 0.110513i | ||||
\(988\) | 11.6494 | + | 6.72580i | 0.370617 | + | 0.213976i | ||||
\(989\) | 0.321363 | 0.0102188 | ||||||||
\(990\) | 25.2798 | + | 45.5217i | 0.803445 | + | 1.44677i | ||||
\(991\) | − | 14.0057i | − | 0.444906i | −0.974943 | − | 0.222453i | \(-0.928594\pi\) | ||
0.974943 | − | 0.222453i | \(-0.0714063\pi\) | |||||||
\(992\) | 1.09249 | + | 0.630750i | 0.0346866 | + | 0.0200263i | ||||
\(993\) | 0.452265 | − | 54.2643i | 0.0143522 | − | 1.72203i | ||||
\(994\) | 5.75149 | + | 9.96187i | 0.182426 | + | 0.315971i | ||||
\(995\) | 17.9408 | + | 31.0743i | 0.568761 | + | 0.985122i | ||||
\(996\) | 34.2836 | − | 19.4145i | 1.08632 | − | 0.615173i | ||||
\(997\) | −22.6851 | + | 39.2917i | −0.718444 | + | 1.24438i | 0.243172 | + | 0.969983i | \(0.421812\pi\) |
−0.961616 | + | 0.274399i | \(0.911521\pi\) | |||||||
\(998\) | 44.8568i | 1.41992i | ||||||||
\(999\) | −29.6212 | − | 0.740769i | −0.937175 | − | 0.0234369i |
(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 | 603.2.l.a.200.13 | ✓ | 132 | |
9.5 | odd | 6 | inner | 603.2.l.a.401.54 | yes | 132 | |
67.66 | odd | 2 | inner | 603.2.l.a.200.54 | yes | 132 | |
603.401 | even | 6 | inner | 603.2.l.a.401.13 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
603.2.l.a.200.13 | ✓ | 132 | 1.1 | even | 1 | trivial | |
603.2.l.a.200.54 | yes | 132 | 67.66 | odd | 2 | inner | |
603.2.l.a.401.13 | yes | 132 | 603.401 | even | 6 | inner | |
603.2.l.a.401.54 | yes | 132 | 9.5 | odd | 6 | inner |