Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), 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: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.19 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.19 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.667408 | − | 0.667408i | 0.333704 | − | 0.333704i | −0.520287 | − | 0.853991i | \(-0.674175\pi\) |
0.853991 | + | 0.520287i | \(0.174175\pi\) | |||||||
\(3\) | 2.53367 | − | 2.53367i | 0.844555 | − | 0.844555i | −0.144892 | − | 0.989447i | \(-0.546283\pi\) |
0.989447 | + | 0.144892i | \(0.0462835\pi\) | |||||||
\(4\) | 3.10913i | 0.777283i | ||||||||
\(5\) | −6.79914 | + | 6.79914i | −1.35983 | + | 1.35983i | −0.485704 | + | 0.874123i | \(0.661437\pi\) |
−0.874123 | + | 0.485704i | \(0.838563\pi\) | |||||||
\(6\) | − | 3.38198i | − | 0.563663i | ||||||
\(7\) | 5.78196i | 0.825994i | 0.910732 | + | 0.412997i | \(0.135518\pi\) | ||||
−0.910732 | + | 0.412997i | \(0.864482\pi\) | |||||||
\(8\) | 4.74469 | + | 4.74469i | 0.593086 | + | 0.593086i | ||||
\(9\) | − | 3.83893i | − | 0.426548i | ||||||
\(10\) | 9.07559i | 0.907559i | ||||||||
\(11\) | 1.00971 | − | 1.00971i | 0.0917922 | − | 0.0917922i | −0.659720 | − | 0.751512i | \(-0.729325\pi\) |
0.751512 | + | 0.659720i | \(0.229325\pi\) | |||||||
\(12\) | 7.87751 | + | 7.87751i | 0.656459 | + | 0.656459i | ||||
\(13\) | −3.79947 | + | 3.79947i | −0.292267 | + | 0.292267i | −0.837975 | − | 0.545708i | \(-0.816261\pi\) |
0.545708 | + | 0.837975i | \(0.316261\pi\) | |||||||
\(14\) | 3.85893 | + | 3.85893i | 0.275638 | + | 0.275638i | ||||
\(15\) | 34.4535i | 2.29690i | ||||||||
\(16\) | −6.10325 | −0.381453 | ||||||||
\(17\) | 2.05428 | + | 2.05428i | 0.120840 | + | 0.120840i | 0.764941 | − | 0.644101i | \(-0.222768\pi\) |
−0.644101 | + | 0.764941i | \(0.722768\pi\) | |||||||
\(18\) | −2.56213 | − | 2.56213i | −0.142341 | − | 0.142341i | ||||
\(19\) | − | 21.0491i | − | 1.10785i | −0.832567 | − | 0.553924i | \(-0.813130\pi\) | ||
0.832567 | − | 0.553924i | \(-0.186870\pi\) | |||||||
\(20\) | −21.1394 | − | 21.1394i | −1.05697 | − | 1.05697i | ||||
\(21\) | 14.6496 | + | 14.6496i | 0.697598 | + | 0.697598i | ||||
\(22\) | − | 1.34778i | − | 0.0612629i | ||||||
\(23\) | 30.3445 | 1.31932 | 0.659662 | − | 0.751562i | \(-0.270699\pi\) | ||||
0.659662 | + | 0.751562i | \(0.270699\pi\) | |||||||
\(24\) | 24.0429 | 1.00179 | ||||||||
\(25\) | − | 67.4565i | − | 2.69826i | ||||||
\(26\) | 5.07159i | 0.195061i | ||||||||
\(27\) | 13.0764 | + | 13.0764i | 0.484312 | + | 0.484312i | ||||
\(28\) | −17.9769 | −0.642032 | ||||||||
\(29\) | −22.3251 | −0.769831 | −0.384915 | − | 0.922952i | \(-0.625769\pi\) | ||||
−0.384915 | + | 0.922952i | \(0.625769\pi\) | |||||||
\(30\) | 22.9945 | + | 22.9945i | 0.766484 | + | 0.766484i | ||||
\(31\) | 18.3286 | − | 18.3286i | 0.591245 | − | 0.591245i | −0.346723 | − | 0.937968i | \(-0.612706\pi\) |
0.937968 | + | 0.346723i | \(0.112706\pi\) | |||||||
\(32\) | −23.0521 | + | 23.0521i | −0.720379 | + | 0.720379i | ||||
\(33\) | − | 5.11656i | − | 0.155047i | ||||||
\(34\) | 2.74208 | 0.0806494 | ||||||||
\(35\) | −39.3123 | − | 39.3123i | −1.12321 | − | 1.12321i | ||||
\(36\) | 11.9357 | 0.331549 | ||||||||
\(37\) | 58.7681 | 1.58833 | 0.794164 | − | 0.607703i | \(-0.207909\pi\) | ||||
0.794164 | + | 0.607703i | \(0.207909\pi\) | |||||||
\(38\) | −14.0483 | − | 14.0483i | −0.369693 | − | 0.369693i | ||||
\(39\) | 19.2532i | 0.493671i | ||||||||
\(40\) | −64.5196 | −1.61299 | ||||||||
\(41\) | 3.61067i | 0.0880652i | 0.999030 | + | 0.0440326i | \(0.0140206\pi\) | ||||
−0.999030 | + | 0.0440326i | \(0.985979\pi\) | |||||||
\(42\) | 19.5545 | 0.465582 | ||||||||
\(43\) | 58.1181i | 1.35158i | 0.737092 | + | 0.675792i | \(0.236198\pi\) | ||||
−0.737092 | + | 0.675792i | \(0.763802\pi\) | |||||||
\(44\) | 3.13934 | + | 3.13934i | 0.0713486 | + | 0.0713486i | ||||
\(45\) | 26.1014 | + | 26.1014i | 0.580031 | + | 0.580031i | ||||
\(46\) | 20.2521 | − | 20.2521i | 0.440264 | − | 0.440264i | ||||
\(47\) | 54.1791i | 1.15275i | 0.817187 | + | 0.576373i | \(0.195532\pi\) | ||||
−0.817187 | + | 0.576373i | \(0.804468\pi\) | |||||||
\(48\) | −15.4636 | + | 15.4636i | −0.322158 | + | 0.322158i | ||||
\(49\) | 15.5689 | 0.317733 | ||||||||
\(50\) | −45.0210 | − | 45.0210i | −0.900420 | − | 0.900420i | ||||
\(51\) | 10.4097 | 0.204112 | ||||||||
\(52\) | −11.8131 | − | 11.8131i | −0.227174 | − | 0.227174i | ||||
\(53\) | 0.486855 | 0.00918594 | 0.00459297 | − | 0.999989i | \(-0.498538\pi\) | ||||
0.00459297 | + | 0.999989i | \(0.498538\pi\) | |||||||
\(54\) | 17.4546 | 0.323234 | ||||||||
\(55\) | 13.7304i | 0.249643i | ||||||||
\(56\) | −27.4336 | + | 27.4336i | −0.489886 | + | 0.489886i | ||||
\(57\) | −53.3315 | − | 53.3315i | −0.935640 | − | 0.935640i | ||||
\(58\) | −14.8999 | + | 14.8999i | −0.256896 | + | 0.256896i | ||||
\(59\) | −41.0327 | −0.695469 | −0.347735 | − | 0.937593i | \(-0.613049\pi\) | ||||
−0.347735 | + | 0.937593i | \(0.613049\pi\) | |||||||
\(60\) | −107.121 | −1.78534 | ||||||||
\(61\) | −22.5942 | −0.370396 | −0.185198 | − | 0.982701i | \(-0.559293\pi\) | ||||
−0.185198 | + | 0.982701i | \(0.559293\pi\) | |||||||
\(62\) | − | 24.4653i | − | 0.394601i | ||||||
\(63\) | 22.1965 | 0.352326 | ||||||||
\(64\) | 6.35733i | 0.0993333i | ||||||||
\(65\) | − | 51.6663i | − | 0.794866i | ||||||
\(66\) | −3.41483 | − | 3.41483i | −0.0517399 | − | 0.0517399i | ||||
\(67\) | 36.7245 | − | 36.7245i | 0.548127 | − | 0.548127i | −0.377771 | − | 0.925899i | \(-0.623310\pi\) |
0.925899 | + | 0.377771i | \(0.123310\pi\) | |||||||
\(68\) | −6.38702 | + | 6.38702i | −0.0939267 | + | 0.0939267i | ||||
\(69\) | 76.8827 | − | 76.8827i | 1.11424 | − | 1.11424i | ||||
\(70\) | −52.4747 | −0.749639 | ||||||||
\(71\) | 61.5039 | + | 61.5039i | 0.866252 | + | 0.866252i | 0.992055 | − | 0.125803i | \(-0.0401507\pi\) |
−0.125803 | + | 0.992055i | \(0.540151\pi\) | |||||||
\(72\) | 18.2145 | − | 18.2145i | 0.252980 | − | 0.252980i | ||||
\(73\) | 55.0929 | − | 55.0929i | 0.754697 | − | 0.754697i | −0.220655 | − | 0.975352i | \(-0.570819\pi\) |
0.975352 | + | 0.220655i | \(0.0708193\pi\) | |||||||
\(74\) | 39.2223 | − | 39.2223i | 0.530031 | − | 0.530031i | ||||
\(75\) | −170.912 | − | 170.912i | −2.27883 | − | 2.27883i | ||||
\(76\) | 65.4445 | 0.861112 | ||||||||
\(77\) | 5.83813 | + | 5.83813i | 0.0758199 | + | 0.0758199i | ||||
\(78\) | 12.8497 | + | 12.8497i | 0.164740 | + | 0.164740i | ||||
\(79\) | −80.3629 | − | 80.3629i | −1.01725 | − | 1.01725i | −0.999849 | − | 0.0174029i | \(-0.994460\pi\) |
−0.0174029 | − | 0.999849i | \(-0.505540\pi\) | |||||||
\(80\) | 41.4968 | − | 41.4968i | 0.518710 | − | 0.518710i | ||||
\(81\) | 100.813 | 1.24460 | ||||||||
\(82\) | 2.40979 | + | 2.40979i | 0.0293877 | + | 0.0293877i | ||||
\(83\) | 82.9292i | 0.999147i | 0.866271 | + | 0.499574i | \(0.166510\pi\) | ||||
−0.866271 | + | 0.499574i | \(0.833490\pi\) | |||||||
\(84\) | −45.5474 | + | 45.5474i | −0.542231 | + | 0.542231i | ||||
\(85\) | −27.9346 | −0.328642 | ||||||||
\(86\) | 38.7885 | + | 38.7885i | 0.451029 | + | 0.451029i | ||||
\(87\) | −56.5643 | + | 56.5643i | −0.650165 | + | 0.650165i | ||||
\(88\) | 9.58157 | 0.108881 | ||||||||
\(89\) | −104.173 | − | 104.173i | −1.17048 | − | 1.17048i | −0.982095 | − | 0.188389i | \(-0.939674\pi\) |
−0.188389 | − | 0.982095i | \(-0.560326\pi\) | |||||||
\(90\) | 34.8406 | 0.387117 | ||||||||
\(91\) | −21.9684 | − | 21.9684i | −0.241411 | − | 0.241411i | ||||
\(92\) | 94.3450i | 1.02549i | ||||||||
\(93\) | − | 92.8771i | − | 0.998678i | ||||||
\(94\) | 36.1595 | + | 36.1595i | 0.384676 | + | 0.384676i | ||||
\(95\) | 143.116 | + | 143.116i | 1.50648 | + | 1.50648i | ||||
\(96\) | 116.813i | 1.21680i | ||||||||
\(97\) | − | 94.0182i | − | 0.969260i | −0.874719 | − | 0.484630i | \(-0.838954\pi\) | ||
0.874719 | − | 0.484630i | \(-0.161046\pi\) | |||||||
\(98\) | 10.3908 | − | 10.3908i | 0.106029 | − | 0.106029i | ||||
\(99\) | −3.87622 | − | 3.87622i | −0.0391538 | − | 0.0391538i | ||||
\(100\) | 209.731 | 2.09731 | ||||||||
\(101\) | 38.7897 | 0.384057 | 0.192028 | − | 0.981389i | \(-0.438493\pi\) | ||||
0.192028 | + | 0.981389i | \(0.438493\pi\) | |||||||
\(102\) | 6.94751 | − | 6.94751i | 0.0681129 | − | 0.0681129i | ||||
\(103\) | 7.99967 | − | 7.99967i | 0.0776667 | − | 0.0776667i | −0.667206 | − | 0.744873i | \(-0.732510\pi\) |
0.744873 | + | 0.667206i | \(0.232510\pi\) | |||||||
\(104\) | −36.0546 | −0.346679 | ||||||||
\(105\) | −199.209 | −1.89723 | ||||||||
\(106\) | 0.324931 | − | 0.324931i | 0.00306538 | − | 0.00306538i | ||||
\(107\) | 105.683i | 0.987689i | 0.869550 | + | 0.493845i | \(0.164409\pi\) | ||||
−0.869550 | + | 0.493845i | \(0.835591\pi\) | |||||||
\(108\) | −40.6564 | + | 40.6564i | −0.376448 | + | 0.376448i | ||||
\(109\) | 112.675i | 1.03372i | 0.856071 | + | 0.516858i | \(0.172899\pi\) | ||||
−0.856071 | + | 0.516858i | \(0.827101\pi\) | |||||||
\(110\) | 9.16376 | + | 9.16376i | 0.0833069 | + | 0.0833069i | ||||
\(111\) | 148.899 | − | 148.899i | 1.34143 | − | 1.34143i | ||||
\(112\) | − | 35.2887i | − | 0.315078i | ||||||
\(113\) | −113.119 | − | 113.119i | −1.00106 | − | 1.00106i | −0.999999 | − | 0.00105786i | \(-0.999663\pi\) |
−0.00105786 | − | 0.999999i | \(-0.500337\pi\) | |||||||
\(114\) | −71.1877 | −0.624453 | ||||||||
\(115\) | −206.316 | + | 206.316i | −1.79405 | + | 1.79405i | ||||
\(116\) | − | 69.4117i | − | 0.598377i | ||||||
\(117\) | 14.5859 | + | 14.5859i | 0.124666 | + | 0.124666i | ||||
\(118\) | −27.3855 | + | 27.3855i | −0.232081 | + | 0.232081i | ||||
\(119\) | −11.8777 | + | 11.8777i | −0.0998130 | + | 0.0998130i | ||||
\(120\) | −163.471 | + | 163.471i | −1.36226 | + | 1.36226i | ||||
\(121\) | 118.961i | 0.983148i | ||||||||
\(122\) | −15.0795 | + | 15.0795i | −0.123603 | + | 0.123603i | ||||
\(123\) | 9.14825 | + | 9.14825i | 0.0743760 | + | 0.0743760i | ||||
\(124\) | 56.9860 | + | 56.9860i | 0.459565 | + | 0.459565i | ||||
\(125\) | 288.668 | + | 288.668i | 2.30934 | + | 2.30934i | ||||
\(126\) | 14.8141 | − | 14.8141i | 0.117573 | − | 0.117573i | ||||
\(127\) | − | 220.144i | − | 1.73341i | −0.498818 | − | 0.866707i | \(-0.666232\pi\) | ||
0.498818 | − | 0.866707i | \(-0.333768\pi\) | |||||||
\(128\) | −87.9655 | − | 87.9655i | −0.687231 | − | 0.687231i | ||||
\(129\) | 147.252 | + | 147.252i | 1.14149 | + | 1.14149i | ||||
\(130\) | −34.4825 | − | 34.4825i | −0.265250 | − | 0.265250i | ||||
\(131\) | 36.6896 | − | 36.6896i | 0.280073 | − | 0.280073i | −0.553065 | − | 0.833138i | \(-0.686542\pi\) |
0.833138 | + | 0.553065i | \(0.186542\pi\) | |||||||
\(132\) | 15.9081 | 0.120516 | ||||||||
\(133\) | 121.705 | 0.915077 | ||||||||
\(134\) | − | 49.0205i | − | 0.365824i | ||||||
\(135\) | −177.817 | −1.31716 | ||||||||
\(136\) | 19.4938i | 0.143337i | ||||||||
\(137\) | − | 81.8815i | − | 0.597675i | −0.954304 | − | 0.298838i | \(-0.903401\pi\) | ||
0.954304 | − | 0.298838i | \(-0.0965989\pi\) | |||||||
\(138\) | − | 102.624i | − | 0.743654i | ||||||
\(139\) | −100.787 | − | 100.787i | −0.725087 | − | 0.725087i | 0.244549 | − | 0.969637i | \(-0.421360\pi\) |
−0.969637 | + | 0.244549i | \(0.921360\pi\) | |||||||
\(140\) | 122.227 | − | 122.227i | 0.873053 | − | 0.873053i | ||||
\(141\) | 137.272 | + | 137.272i | 0.973558 | + | 0.973558i | ||||
\(142\) | 82.0964 | 0.578144 | ||||||||
\(143\) | 7.67276i | 0.0536557i | ||||||||
\(144\) | 23.4299i | 0.162708i | ||||||||
\(145\) | 151.791 | − | 151.791i | 1.04684 | − | 1.04684i | ||||
\(146\) | − | 73.5389i | − | 0.503691i | ||||||
\(147\) | 39.4465 | − | 39.4465i | 0.268343 | − | 0.268343i | ||||
\(148\) | 182.718i | 1.23458i | ||||||||
\(149\) | 78.6215 | + | 78.6215i | 0.527661 | + | 0.527661i | 0.919874 | − | 0.392213i | \(-0.128291\pi\) |
−0.392213 | + | 0.919874i | \(0.628291\pi\) | |||||||
\(150\) | −228.137 | −1.52091 | ||||||||
\(151\) | 132.841 | + | 132.841i | 0.879742 | + | 0.879742i | 0.993508 | − | 0.113765i | \(-0.0362912\pi\) |
−0.113765 | + | 0.993508i | \(0.536291\pi\) | |||||||
\(152\) | 99.8716 | − | 99.8716i | 0.657050 | − | 0.657050i | ||||
\(153\) | 7.88622 | − | 7.88622i | 0.0515439 | − | 0.0515439i | ||||
\(154\) | 7.79283 | 0.0506028 | ||||||||
\(155\) | 249.237i | 1.60798i | ||||||||
\(156\) | −59.8607 | −0.383723 | ||||||||
\(157\) | 35.4535i | 0.225818i | 0.993605 | + | 0.112909i | \(0.0360169\pi\) | ||||
−0.993605 | + | 0.112909i | \(0.963983\pi\) | |||||||
\(158\) | −107.270 | −0.678921 | ||||||||
\(159\) | 1.23353 | − | 1.23353i | 0.00775804 | − | 0.00775804i | ||||
\(160\) | − | 313.469i | − | 1.95918i | ||||||
\(161\) | 175.450i | 1.08975i | ||||||||
\(162\) | 67.2834 | − | 67.2834i | 0.415329 | − | 0.415329i | ||||
\(163\) | − | 264.682i | − | 1.62382i | −0.583786 | − | 0.811908i | \(-0.698429\pi\) | ||
0.583786 | − | 0.811908i | \(-0.301571\pi\) | |||||||
\(164\) | −11.2261 | −0.0684517 | ||||||||
\(165\) | 34.7882 | + | 34.7882i | 0.210838 | + | 0.210838i | ||||
\(166\) | 55.3476 | + | 55.3476i | 0.333419 | + | 0.333419i | ||||
\(167\) | 50.4707 | − | 50.4707i | 0.302219 | − | 0.302219i | −0.539662 | − | 0.841882i | \(-0.681448\pi\) |
0.841882 | + | 0.539662i | \(0.181448\pi\) | |||||||
\(168\) | 139.015i | 0.827472i | ||||||||
\(169\) | 140.128i | 0.829160i | ||||||||
\(170\) | −18.6438 | + | 18.6438i | −0.109669 | + | 0.109669i | ||||
\(171\) | −80.8061 | −0.472550 | ||||||||
\(172\) | −180.697 | −1.05056 | ||||||||
\(173\) | − | 130.406i | − | 0.753794i | −0.926255 | − | 0.376897i | \(-0.876991\pi\) | ||
0.926255 | − | 0.376897i | \(-0.123009\pi\) | |||||||
\(174\) | 75.5030i | 0.433925i | ||||||||
\(175\) | 390.031 | 2.22875 | ||||||||
\(176\) | −6.16254 | + | 6.16254i | −0.0350144 | + | 0.0350144i | ||||
\(177\) | −103.963 | + | 103.963i | −0.587362 | + | 0.587362i | ||||
\(178\) | −139.052 | −0.781190 | ||||||||
\(179\) | 8.57108 | − | 8.57108i | 0.0478831 | − | 0.0478831i | −0.682760 | − | 0.730643i | \(-0.739220\pi\) |
0.730643 | + | 0.682760i | \(0.239220\pi\) | |||||||
\(180\) | −81.1528 | + | 81.1528i | −0.450849 | + | 0.450849i | ||||
\(181\) | − | 307.341i | − | 1.69802i | −0.528379 | − | 0.849008i | \(-0.677200\pi\) | ||
0.528379 | − | 0.849008i | \(-0.322800\pi\) | |||||||
\(182\) | −29.3238 | −0.161120 | ||||||||
\(183\) | −57.2461 | + | 57.2461i | −0.312820 | + | 0.312820i | ||||
\(184\) | 143.975 | + | 143.975i | 0.782473 | + | 0.782473i | ||||
\(185\) | −399.573 | + | 399.573i | −2.15985 | + | 2.15985i | ||||
\(186\) | −61.9869 | − | 61.9869i | −0.333263 | − | 0.333263i | ||||
\(187\) | 4.14846 | 0.0221843 | ||||||||
\(188\) | −168.450 | −0.896010 | ||||||||
\(189\) | −75.6074 | + | 75.6074i | −0.400039 | + | 0.400039i | ||||
\(190\) | 191.033 | 1.00544 | ||||||||
\(191\) | 59.2313 | 0.310112 | 0.155056 | − | 0.987906i | \(-0.450444\pi\) | ||||
0.155056 | + | 0.987906i | \(0.450444\pi\) | |||||||
\(192\) | 16.1074 | + | 16.1074i | 0.0838925 | + | 0.0838925i | ||||
\(193\) | 224.589 | 1.16367 | 0.581836 | − | 0.813306i | \(-0.302335\pi\) | ||||
0.581836 | + | 0.813306i | \(0.302335\pi\) | |||||||
\(194\) | −62.7485 | − | 62.7485i | −0.323446 | − | 0.323446i | ||||
\(195\) | −130.905 | − | 130.905i | −0.671308 | − | 0.671308i | ||||
\(196\) | 48.4059i | 0.246969i | ||||||||
\(197\) | −188.779 | + | 56.3155i | −0.958270 | + | 0.285865i | ||||
\(198\) | −5.17404 | −0.0261315 | ||||||||
\(199\) | −104.061 | + | 104.061i | −0.522922 | + | 0.522922i | −0.918453 | − | 0.395531i | \(-0.870561\pi\) |
0.395531 | + | 0.918453i | \(0.370561\pi\) | |||||||
\(200\) | 320.060 | − | 320.060i | 1.60030 | − | 1.60030i | ||||
\(201\) | − | 186.095i | − | 0.925848i | ||||||
\(202\) | 25.8886 | − | 25.8886i | 0.128161 | − | 0.128161i | ||||
\(203\) | − | 129.083i | − | 0.635876i | ||||||
\(204\) | 32.3651i | 0.158653i | ||||||||
\(205\) | −24.5495 | − | 24.5495i | −0.119754 | − | 0.119754i | ||||
\(206\) | − | 10.6781i | − | 0.0518353i | ||||||
\(207\) | − | 116.490i | − | 0.562755i | ||||||
\(208\) | 23.1891 | − | 23.1891i | 0.111486 | − | 0.111486i | ||||
\(209\) | −21.2536 | − | 21.2536i | −0.101692 | − | 0.101692i | ||||
\(210\) | −132.953 | + | 132.953i | −0.633112 | + | 0.633112i | ||||
\(211\) | 242.031 | + | 242.031i | 1.14707 | + | 1.14707i | 0.987127 | + | 0.159941i | \(0.0511304\pi\) |
0.159941 | + | 0.987127i | \(0.448870\pi\) | |||||||
\(212\) | 1.51370i | 0.00714008i | ||||||||
\(213\) | 311.661 | 1.46320 | ||||||||
\(214\) | 70.5335 | + | 70.5335i | 0.329596 | + | 0.329596i | ||||
\(215\) | −395.153 | − | 395.153i | −1.83792 | − | 1.83792i | ||||
\(216\) | 124.087i | 0.574478i | ||||||||
\(217\) | 105.975 | + | 105.975i | 0.488365 | + | 0.488365i | ||||
\(218\) | 75.2003 | + | 75.2003i | 0.344955 | + | 0.344955i | ||||
\(219\) | − | 279.174i | − | 1.27477i | ||||||
\(220\) | −42.6896 | −0.194044 | ||||||||
\(221\) | −15.6103 | −0.0706350 | ||||||||
\(222\) | − | 198.753i | − | 0.895282i | ||||||
\(223\) | − | 208.663i | − | 0.935709i | −0.883806 | − | 0.467854i | \(-0.845027\pi\) | ||
0.883806 | − | 0.467854i | \(-0.154973\pi\) | |||||||
\(224\) | −133.286 | − | 133.286i | −0.595029 | − | 0.595029i | ||||
\(225\) | −258.961 | −1.15094 | ||||||||
\(226\) | −150.994 | −0.668113 | ||||||||
\(227\) | 86.3883 | + | 86.3883i | 0.380565 | + | 0.380565i | 0.871306 | − | 0.490741i | \(-0.163274\pi\) |
−0.490741 | + | 0.871306i | \(0.663274\pi\) | |||||||
\(228\) | 165.815 | − | 165.815i | 0.727257 | − | 0.727257i | ||||
\(229\) | −111.819 | + | 111.819i | −0.488295 | + | 0.488295i | −0.907768 | − | 0.419473i | \(-0.862215\pi\) |
0.419473 | + | 0.907768i | \(0.362215\pi\) | |||||||
\(230\) | 275.394i | 1.19737i | ||||||||
\(231\) | 29.5838 | 0.128068 | ||||||||
\(232\) | −105.926 | − | 105.926i | −0.456576 | − | 0.456576i | ||||
\(233\) | −220.073 | −0.944518 | −0.472259 | − | 0.881460i | \(-0.656561\pi\) | ||||
−0.472259 | + | 0.881460i | \(0.656561\pi\) | |||||||
\(234\) | 19.4695 | 0.0832030 | ||||||||
\(235\) | −368.371 | − | 368.371i | −1.56754 | − | 1.56754i | ||||
\(236\) | − | 127.576i | − | 0.540577i | ||||||
\(237\) | −407.225 | −1.71825 | ||||||||
\(238\) | 15.8546i | 0.0666159i | ||||||||
\(239\) | 362.452 | 1.51654 | 0.758268 | − | 0.651943i | \(-0.226046\pi\) | ||||
0.758268 | + | 0.651943i | \(0.226046\pi\) | |||||||
\(240\) | − | 210.278i | − | 0.876159i | ||||||
\(241\) | 197.780 | + | 197.780i | 0.820666 | + | 0.820666i | 0.986203 | − | 0.165538i | \(-0.0529360\pi\) |
−0.165538 | + | 0.986203i | \(0.552936\pi\) | |||||||
\(242\) | 79.3955 | + | 79.3955i | 0.328080 | + | 0.328080i | ||||
\(243\) | 137.739 | − | 137.739i | 0.566826 | − | 0.566826i | ||||
\(244\) | − | 70.2483i | − | 0.287903i | ||||||
\(245\) | −105.855 | + | 105.855i | −0.432062 | + | 0.432062i | ||||
\(246\) | 12.2112 | 0.0496391 | ||||||||
\(247\) | 79.9755 | + | 79.9755i | 0.323788 | + | 0.323788i | ||||
\(248\) | 173.927 | 0.701319 | ||||||||
\(249\) | 210.115 | + | 210.115i | 0.843835 | + | 0.843835i | ||||
\(250\) | 385.318 | 1.54127 | ||||||||
\(251\) | −248.445 | −0.989820 | −0.494910 | − | 0.868944i | \(-0.664799\pi\) | ||||
−0.494910 | + | 0.868944i | \(0.664799\pi\) | |||||||
\(252\) | 69.0120i | 0.273857i | ||||||||
\(253\) | 30.6392 | − | 30.6392i | 0.121104 | − | 0.121104i | ||||
\(254\) | −146.925 | − | 146.925i | −0.578447 | − | 0.578447i | ||||
\(255\) | −70.7770 | + | 70.7770i | −0.277557 | + | 0.277557i | ||||
\(256\) | −142.847 | −0.557996 | ||||||||
\(257\) | −181.630 | −0.706732 | −0.353366 | − | 0.935485i | \(-0.614963\pi\) | ||||
−0.353366 | + | 0.935485i | \(0.614963\pi\) | |||||||
\(258\) | 196.554 | 0.761838 | ||||||||
\(259\) | 339.795i | 1.31195i | ||||||||
\(260\) | 160.637 | 0.617836 | ||||||||
\(261\) | 85.7045i | 0.328370i | ||||||||
\(262\) | − | 48.9738i | − | 0.186923i | ||||||
\(263\) | −235.897 | − | 235.897i | −0.896948 | − | 0.896948i | 0.0982168 | − | 0.995165i | \(-0.468686\pi\) |
−0.995165 | + | 0.0982168i | \(0.968686\pi\) | |||||||
\(264\) | 24.2765 | − | 24.2765i | 0.0919564 | − | 0.0919564i | ||||
\(265\) | −3.31019 | + | 3.31019i | −0.0124913 | + | 0.0124913i | ||||
\(266\) | 81.2270 | − | 81.2270i | 0.305365 | − | 0.305365i | ||||
\(267\) | −527.879 | −1.97708 | ||||||||
\(268\) | 114.181 | + | 114.181i | 0.426050 | + | 0.426050i | ||||
\(269\) | −186.106 | + | 186.106i | −0.691844 | + | 0.691844i | −0.962637 | − | 0.270794i | \(-0.912714\pi\) |
0.270794 | + | 0.962637i | \(0.412714\pi\) | |||||||
\(270\) | −118.676 | + | 118.676i | −0.439542 | + | 0.439542i | ||||
\(271\) | 285.987 | − | 285.987i | 1.05530 | − | 1.05530i | 0.0569245 | − | 0.998378i | \(-0.481871\pi\) |
0.998378 | − | 0.0569245i | \(-0.0181294\pi\) | |||||||
\(272\) | −12.5378 | − | 12.5378i | −0.0460947 | − | 0.0460947i | ||||
\(273\) | −111.321 | −0.407770 | ||||||||
\(274\) | −54.6484 | − | 54.6484i | −0.199447 | − | 0.199447i | ||||
\(275\) | −68.1119 | − | 68.1119i | −0.247680 | − | 0.247680i | ||||
\(276\) | 239.039 | + | 239.039i | 0.866082 | + | 0.866082i | ||||
\(277\) | 8.19494 | − | 8.19494i | 0.0295846 | − | 0.0295846i | −0.692160 | − | 0.721744i | \(-0.743341\pi\) |
0.721744 | + | 0.692160i | \(0.243341\pi\) | |||||||
\(278\) | −134.532 | −0.483929 | ||||||||
\(279\) | −70.3622 | − | 70.3622i | −0.252194 | − | 0.252194i | ||||
\(280\) | − | 373.050i | − | 1.33232i | ||||||
\(281\) | −154.239 | + | 154.239i | −0.548894 | + | 0.548894i | −0.926121 | − | 0.377227i | \(-0.876878\pi\) |
0.377227 | + | 0.926121i | \(0.376878\pi\) | |||||||
\(282\) | 183.232 | 0.649760 | ||||||||
\(283\) | −179.606 | − | 179.606i | −0.634649 | − | 0.634649i | 0.314581 | − | 0.949230i | \(-0.398136\pi\) |
−0.949230 | + | 0.314581i | \(0.898136\pi\) | |||||||
\(284\) | −191.224 | + | 191.224i | −0.673324 | + | 0.673324i | ||||
\(285\) | 725.216 | 2.54462 | ||||||||
\(286\) | 5.12086 | + | 5.12086i | 0.0179051 | + | 0.0179051i | ||||
\(287\) | −20.8768 | −0.0727414 | ||||||||
\(288\) | 88.4955 | + | 88.4955i | 0.307276 | + | 0.307276i | ||||
\(289\) | − | 280.560i | − | 0.970796i | ||||||
\(290\) | − | 202.614i | − | 0.698667i | ||||||
\(291\) | −238.211 | − | 238.211i | −0.818594 | − | 0.818594i | ||||
\(292\) | 171.291 | + | 171.291i | 0.586614 | + | 0.586614i | ||||
\(293\) | 373.796i | 1.27575i | 0.770139 | + | 0.637876i | \(0.220187\pi\) | ||||
−0.770139 | + | 0.637876i | \(0.779813\pi\) | |||||||
\(294\) | − | 52.6538i | − | 0.179094i | ||||||
\(295\) | 278.987 | − | 278.987i | 0.945718 | − | 0.945718i | ||||
\(296\) | 278.837 | + | 278.837i | 0.942016 | + | 0.942016i | ||||
\(297\) | 26.4069 | 0.0889122 | ||||||||
\(298\) | 104.945 | 0.352165 | ||||||||
\(299\) | −115.293 | + | 115.293i | −0.385595 | + | 0.385595i | ||||
\(300\) | 531.389 | − | 531.389i | 1.77130 | − | 1.77130i | ||||
\(301\) | −336.037 | −1.11640 | ||||||||
\(302\) | 177.318 | 0.587147 | ||||||||
\(303\) | 98.2802 | − | 98.2802i | 0.324357 | − | 0.324357i | ||||
\(304\) | 128.468i | 0.422592i | ||||||||
\(305\) | 153.621 | − | 153.621i | 0.503675 | − | 0.503675i | ||||
\(306\) | − | 10.5267i | − | 0.0344008i | ||||||
\(307\) | −330.389 | − | 330.389i | −1.07618 | − | 1.07618i | −0.996848 | − | 0.0793370i | \(-0.974720\pi\) |
−0.0793370 | − | 0.996848i | \(-0.525280\pi\) | |||||||
\(308\) | −18.1515 | + | 18.1515i | −0.0589335 | + | 0.0589335i | ||||
\(309\) | − | 40.5370i | − | 0.131188i | ||||||
\(310\) | 166.343 | + | 166.343i | 0.536590 | + | 0.536590i | ||||
\(311\) | −381.189 | −1.22569 | −0.612844 | − | 0.790204i | \(-0.709975\pi\) | ||||
−0.612844 | + | 0.790204i | \(0.709975\pi\) | |||||||
\(312\) | −91.3504 | + | 91.3504i | −0.292790 | + | 0.292790i | ||||
\(313\) | − | 7.71024i | − | 0.0246334i | −0.999924 | − | 0.0123167i | \(-0.996079\pi\) | ||
0.999924 | − | 0.0123167i | \(-0.00392062\pi\) | |||||||
\(314\) | 23.6619 | + | 23.6619i | 0.0753565 | + | 0.0753565i | ||||
\(315\) | −150.917 | + | 150.917i | −0.479103 | + | 0.479103i | ||||
\(316\) | 249.859 | − | 249.859i | 0.790693 | − | 0.790693i | ||||
\(317\) | 240.853 | − | 240.853i | 0.759790 | − | 0.759790i | −0.216494 | − | 0.976284i | \(-0.569462\pi\) |
0.976284 | + | 0.216494i | \(0.0694621\pi\) | |||||||
\(318\) | − | 1.64653i | − | 0.00517777i | ||||||
\(319\) | −22.5420 | + | 22.5420i | −0.0706645 | + | 0.0706645i | ||||
\(320\) | −43.2244 | − | 43.2244i | −0.135076 | − | 0.135076i | ||||
\(321\) | 267.765 | + | 267.765i | 0.834158 | + | 0.834158i | ||||
\(322\) | 117.097 | + | 117.097i | 0.363655 | + | 0.363655i | ||||
\(323\) | 43.2407 | − | 43.2407i | 0.133872 | − | 0.133872i | ||||
\(324\) | 313.441i | 0.967411i | ||||||||
\(325\) | 256.299 | + | 256.299i | 0.788613 | + | 0.788613i | ||||
\(326\) | −176.651 | − | 176.651i | −0.541874 | − | 0.541874i | ||||
\(327\) | 285.481 | + | 285.481i | 0.873031 | + | 0.873031i | ||||
\(328\) | −17.1315 | + | 17.1315i | −0.0522303 | + | 0.0522303i | ||||
\(329\) | −313.261 | −0.952162 | ||||||||
\(330\) | 46.4358 | 0.140715 | ||||||||
\(331\) | − | 223.284i | − | 0.674575i | −0.941402 | − | 0.337288i | \(-0.890491\pi\) | ||
0.941402 | − | 0.337288i | \(-0.109509\pi\) | |||||||
\(332\) | −257.838 | −0.776621 | ||||||||
\(333\) | − | 225.607i | − | 0.677498i | ||||||
\(334\) | − | 67.3690i | − | 0.201704i | ||||||
\(335\) | 499.390i | 1.49072i | ||||||||
\(336\) | −89.4099 | − | 89.4099i | −0.266101 | − | 0.266101i | ||||
\(337\) | −435.784 | + | 435.784i | −1.29313 | + | 1.29313i | −0.360285 | + | 0.932842i | \(0.617321\pi\) |
−0.932842 | + | 0.360285i | \(0.882679\pi\) | |||||||
\(338\) | 93.5225 | + | 93.5225i | 0.276694 | + | 0.276694i | ||||
\(339\) | −573.214 | −1.69090 | ||||||||
\(340\) | − | 86.8524i | − | 0.255448i | ||||||
\(341\) | − | 37.0133i | − | 0.108543i | ||||||
\(342\) | −53.9306 | + | 53.9306i | −0.157692 | + | 0.157692i | ||||
\(343\) | 373.335i | 1.08844i | ||||||||
\(344\) | −275.753 | + | 275.753i | −0.801606 | + | 0.801606i | ||||
\(345\) | 1045.47i | 3.03036i | ||||||||
\(346\) | −87.0342 | − | 87.0342i | −0.251544 | − | 0.251544i | ||||
\(347\) | 456.987 | 1.31696 | 0.658482 | − | 0.752596i | \(-0.271199\pi\) | ||||
0.658482 | + | 0.752596i | \(0.271199\pi\) | |||||||
\(348\) | −175.866 | − | 175.866i | −0.505362 | − | 0.505362i | ||||
\(349\) | −151.008 | + | 151.008i | −0.432688 | + | 0.432688i | −0.889542 | − | 0.456854i | \(-0.848976\pi\) |
0.456854 | + | 0.889542i | \(0.348976\pi\) | |||||||
\(350\) | 260.310 | − | 260.310i | 0.743742 | − | 0.743742i | ||||
\(351\) | −99.3670 | −0.283097 | ||||||||
\(352\) | 46.5521i | 0.132250i | ||||||||
\(353\) | 679.336 | 1.92446 | 0.962232 | − | 0.272231i | \(-0.0877614\pi\) | ||||
0.962232 | + | 0.272231i | \(0.0877614\pi\) | |||||||
\(354\) | 138.772i | 0.392010i | ||||||||
\(355\) | −836.347 | −2.35591 | ||||||||
\(356\) | 323.888 | − | 323.888i | 0.909797 | − | 0.909797i | ||||
\(357\) | 60.1885i | 0.168595i | ||||||||
\(358\) | − | 11.4408i | − | 0.0319576i | ||||||
\(359\) | 40.7213 | − | 40.7213i | 0.113430 | − | 0.113430i | −0.648114 | − | 0.761544i | \(-0.724442\pi\) |
0.761544 | + | 0.648114i | \(0.224442\pi\) | |||||||
\(360\) | 247.686i | 0.688018i | ||||||||
\(361\) | −82.0656 | −0.227328 | ||||||||
\(362\) | −205.122 | − | 205.122i | −0.566635 | − | 0.566635i | ||||
\(363\) | 301.407 | + | 301.407i | 0.830323 | + | 0.830323i | ||||
\(364\) | 68.3027 | − | 68.3027i | 0.187645 | − | 0.187645i | ||||
\(365\) | 749.169i | 2.05252i | ||||||||
\(366\) | 76.4130i | 0.208779i | ||||||||
\(367\) | −227.877 | + | 227.877i | −0.620919 | + | 0.620919i | −0.945767 | − | 0.324847i | \(-0.894687\pi\) |
0.324847 | + | 0.945767i | \(0.394687\pi\) | |||||||
\(368\) | −185.200 | −0.503260 | ||||||||
\(369\) | 13.8611 | 0.0375640 | ||||||||
\(370\) | 533.356i | 1.44150i | ||||||||
\(371\) | 2.81498i | 0.00758754i | ||||||||
\(372\) | 288.767 | 0.776256 | ||||||||
\(373\) | 31.0197 | − | 31.0197i | 0.0831626 | − | 0.0831626i | −0.664302 | − | 0.747464i | \(-0.731271\pi\) |
0.747464 | + | 0.664302i | \(0.231271\pi\) | |||||||
\(374\) | 2.76872 | − | 2.76872i | 0.00740299 | − | 0.00740299i | ||||
\(375\) | 1462.78 | 3.90074 | ||||||||
\(376\) | −257.063 | + | 257.063i | −0.683678 | + | 0.683678i | ||||
\(377\) | 84.8236 | − | 84.8236i | 0.224996 | − | 0.224996i | ||||
\(378\) | 100.922i | 0.266989i | ||||||||
\(379\) | 530.439 | 1.39958 | 0.699788 | − | 0.714351i | \(-0.253278\pi\) | ||||
0.699788 | + | 0.714351i | \(0.253278\pi\) | |||||||
\(380\) | −444.966 | + | 444.966i | −1.17096 | + | 1.17096i | ||||
\(381\) | −557.770 | − | 557.770i | −1.46396 | − | 1.46396i | ||||
\(382\) | 39.5314 | − | 39.5314i | 0.103485 | − | 0.103485i | ||||
\(383\) | −109.961 | − | 109.961i | −0.287105 | − | 0.287105i | 0.548829 | − | 0.835935i | \(-0.315074\pi\) |
−0.835935 | + | 0.548829i | \(0.815074\pi\) | |||||||
\(384\) | −445.751 | −1.16081 | ||||||||
\(385\) | −79.3885 | −0.206204 | ||||||||
\(386\) | 149.892 | − | 149.892i | 0.388322 | − | 0.388322i | ||||
\(387\) | 223.111 | 0.576515 | ||||||||
\(388\) | 292.315 | 0.753390 | ||||||||
\(389\) | 23.4246 | + | 23.4246i | 0.0602174 | + | 0.0602174i | 0.736574 | − | 0.676357i | \(-0.236442\pi\) |
−0.676357 | + | 0.736574i | \(0.736442\pi\) | |||||||
\(390\) | −174.734 | −0.448036 | ||||||||
\(391\) | 62.3359 | + | 62.3359i | 0.159427 | + | 0.159427i | ||||
\(392\) | 73.8697 | + | 73.8697i | 0.188443 | + | 0.188443i | ||||
\(393\) | − | 185.918i | − | 0.473075i | ||||||
\(394\) | −88.4073 | + | 163.578i | −0.224384 | + | 0.415173i | ||||
\(395\) | 1092.80 | 2.76657 | ||||||||
\(396\) | 12.0517 | − | 12.0517i | 0.0304336 | − | 0.0304336i | ||||
\(397\) | 28.8064 | − | 28.8064i | 0.0725603 | − | 0.0725603i | −0.669895 | − | 0.742456i | \(-0.733661\pi\) |
0.742456 | + | 0.669895i | \(0.233661\pi\) | |||||||
\(398\) | 138.903i | 0.349002i | ||||||||
\(399\) | 308.360 | − | 308.360i | 0.772833 | − | 0.772833i | ||||
\(400\) | 411.704i | 1.02926i | ||||||||
\(401\) | − | 523.412i | − | 1.30527i | −0.757674 | − | 0.652633i | \(-0.773664\pi\) | ||
0.757674 | − | 0.652633i | \(-0.226336\pi\) | |||||||
\(402\) | −124.202 | − | 124.202i | −0.308959 | − | 0.308959i | ||||
\(403\) | 139.278i | 0.345603i | ||||||||
\(404\) | 120.602i | 0.298521i | ||||||||
\(405\) | −685.441 | + | 685.441i | −1.69245 | + | 1.69245i | ||||
\(406\) | −86.1509 | − | 86.1509i | −0.212194 | − | 0.212194i | ||||
\(407\) | 59.3391 | − | 59.3391i | 0.145796 | − | 0.145796i | ||||
\(408\) | 49.3908 | + | 49.3908i | 0.121056 | + | 0.121056i | ||||
\(409\) | 128.343i | 0.313797i | 0.987615 | + | 0.156898i | \(0.0501495\pi\) | ||||
−0.987615 | + | 0.156898i | \(0.949851\pi\) | |||||||
\(410\) | −32.7690 | −0.0799244 | ||||||||
\(411\) | −207.460 | − | 207.460i | −0.504770 | − | 0.504770i | ||||
\(412\) | 24.8720 | + | 24.8720i | 0.0603690 | + | 0.0603690i | ||||
\(413\) | − | 237.249i | − | 0.574454i | ||||||
\(414\) | −77.7465 | − | 77.7465i | −0.187793 | − | 0.187793i | ||||
\(415\) | −563.847 | − | 563.847i | −1.35867 | − | 1.35867i | ||||
\(416\) | − | 175.172i | − | 0.421086i | ||||||
\(417\) | −510.722 | −1.22475 | ||||||||
\(418\) | −28.3696 | −0.0678700 | ||||||||
\(419\) | 79.7564i | 0.190350i | 0.995461 | + | 0.0951748i | \(0.0303410\pi\) | ||||
−0.995461 | + | 0.0951748i | \(0.969659\pi\) | |||||||
\(420\) | − | 619.367i | − | 1.47468i | ||||||
\(421\) | 33.4622 | + | 33.4622i | 0.0794827 | + | 0.0794827i | 0.745730 | − | 0.666248i | \(-0.232101\pi\) |
−0.666248 | + | 0.745730i | \(0.732101\pi\) | |||||||
\(422\) | 323.067 | 0.765562 | ||||||||
\(423\) | 207.990 | 0.491701 | ||||||||
\(424\) | 2.30998 | + | 2.30998i | 0.00544806 | + | 0.00544806i | ||||
\(425\) | 138.574 | − | 138.574i | 0.326057 | − | 0.326057i | ||||
\(426\) | 208.005 | − | 208.005i | 0.488274 | − | 0.488274i | ||||
\(427\) | − | 130.639i | − | 0.305945i | ||||||
\(428\) | −328.582 | −0.767714 | ||||||||
\(429\) | 19.4402 | + | 19.4402i | 0.0453152 | + | 0.0453152i | ||||
\(430\) | −527.456 | −1.22664 | ||||||||
\(431\) | 354.778 | 0.823151 | 0.411575 | − | 0.911376i | \(-0.364979\pi\) | ||||
0.411575 | + | 0.911376i | \(0.364979\pi\) | |||||||
\(432\) | −79.8087 | − | 79.8087i | −0.184742 | − | 0.184742i | ||||
\(433\) | − | 797.239i | − | 1.84120i | −0.390509 | − | 0.920599i | \(-0.627701\pi\) | ||
0.390509 | − | 0.920599i | \(-0.372299\pi\) | |||||||
\(434\) | 141.457 | 0.325939 | ||||||||
\(435\) | − | 769.178i | − | 1.76822i | ||||||
\(436\) | −350.322 | −0.803491 | ||||||||
\(437\) | − | 638.724i | − | 1.46161i | ||||||
\(438\) | −186.323 | − | 186.323i | −0.425395 | − | 0.425395i | ||||
\(439\) | −266.871 | − | 266.871i | −0.607906 | − | 0.607906i | 0.334492 | − | 0.942399i | \(-0.391435\pi\) |
−0.942399 | + | 0.334492i | \(0.891435\pi\) | |||||||
\(440\) | −65.1464 | + | 65.1464i | −0.148060 | + | 0.148060i | ||||
\(441\) | − | 59.7680i | − | 0.135528i | ||||||
\(442\) | −10.4185 | + | 10.4185i | −0.0235712 | + | 0.0235712i | ||||
\(443\) | −51.6516 | −0.116595 | −0.0582976 | − | 0.998299i | \(-0.518567\pi\) | ||||
−0.0582976 | + | 0.998299i | \(0.518567\pi\) | |||||||
\(444\) | 462.947 | + | 462.947i | 1.04267 | + | 1.04267i | ||||
\(445\) | 1416.57 | 3.18331 | ||||||||
\(446\) | −139.263 | − | 139.263i | −0.312250 | − | 0.312250i | ||||
\(447\) | 398.401 | 0.891278 | ||||||||
\(448\) | −36.7578 | −0.0820488 | ||||||||
\(449\) | − | 335.846i | − | 0.747987i | −0.927431 | − | 0.373994i | \(-0.877988\pi\) | ||
0.927431 | − | 0.373994i | \(-0.122012\pi\) | |||||||
\(450\) | −172.833 | + | 172.833i | −0.384072 | + | 0.384072i | ||||
\(451\) | 3.64575 | + | 3.64575i | 0.00808371 | + | 0.00808371i | ||||
\(452\) | 351.704 | − | 351.704i | 0.778105 | − | 0.778105i | ||||
\(453\) | 673.150 | 1.48598 | ||||||||
\(454\) | 115.312 | 0.253992 | ||||||||
\(455\) | 298.732 | 0.656555 | ||||||||
\(456\) | − | 506.083i | − | 1.10983i | ||||||
\(457\) | −199.958 | −0.437544 | −0.218772 | − | 0.975776i | \(-0.570205\pi\) | ||||
−0.218772 | + | 0.975776i | \(0.570205\pi\) | |||||||
\(458\) | 149.258i | 0.325892i | ||||||||
\(459\) | 53.7252i | 0.117048i | ||||||||
\(460\) | −641.464 | − | 641.464i | −1.39449 | − | 1.39449i | ||||
\(461\) | 516.007 | − | 516.007i | 1.11932 | − | 1.11932i | 0.127481 | − | 0.991841i | \(-0.459311\pi\) |
0.991841 | − | 0.127481i | \(-0.0406892\pi\) | |||||||
\(462\) | 19.7444 | − | 19.7444i | 0.0427369 | − | 0.0427369i | ||||
\(463\) | −84.4878 | + | 84.4878i | −0.182479 | + | 0.182479i | −0.792435 | − | 0.609956i | \(-0.791187\pi\) |
0.609956 | + | 0.792435i | \(0.291187\pi\) | |||||||
\(464\) | 136.256 | 0.293654 | ||||||||
\(465\) | 631.484 | + | 631.484i | 1.35803 | + | 1.35803i | ||||
\(466\) | −146.878 | + | 146.878i | −0.315189 | + | 0.315189i | ||||
\(467\) | −325.185 | + | 325.185i | −0.696328 | + | 0.696328i | −0.963617 | − | 0.267288i | \(-0.913872\pi\) |
0.267288 | + | 0.963617i | \(0.413872\pi\) | |||||||
\(468\) | −45.3495 | + | 45.3495i | −0.0969007 | + | 0.0969007i | ||||
\(469\) | 212.340 | + | 212.340i | 0.452750 | + | 0.452750i | ||||
\(470\) | −491.707 | −1.04619 | ||||||||
\(471\) | 89.8273 | + | 89.8273i | 0.190716 | + | 0.190716i | ||||
\(472\) | −194.687 | − | 194.687i | −0.412473 | − | 0.412473i | ||||
\(473\) | 58.6827 | + | 58.6827i | 0.124065 | + | 0.124065i | ||||
\(474\) | −271.785 | + | 271.785i | −0.573387 | + | 0.573387i | ||||
\(475\) | −1419.90 | −2.98927 | ||||||||
\(476\) | −36.9295 | − | 36.9295i | −0.0775830 | − | 0.0775830i | ||||
\(477\) | − | 1.86900i | − | 0.00391824i | ||||||
\(478\) | 241.903 | − | 241.903i | 0.506074 | − | 0.506074i | ||||
\(479\) | −855.393 | −1.78579 | −0.892894 | − | 0.450266i | \(-0.851329\pi\) | ||||
−0.892894 | + | 0.450266i | \(0.851329\pi\) | |||||||
\(480\) | −794.226 | − | 794.226i | −1.65464 | − | 1.65464i | ||||
\(481\) | −223.288 | + | 223.288i | −0.464216 | + | 0.464216i | ||||
\(482\) | 264.000 | 0.547719 | ||||||||
\(483\) | 444.533 | + | 444.533i | 0.920358 | + | 0.920358i | ||||
\(484\) | −369.866 | −0.764185 | ||||||||
\(485\) | 639.243 | + | 639.243i | 1.31803 | + | 1.31803i | ||||
\(486\) | − | 183.856i | − | 0.378304i | ||||||
\(487\) | 506.767i | 1.04059i | 0.853987 | + | 0.520295i | \(0.174178\pi\) | ||||
−0.853987 | + | 0.520295i | \(0.825822\pi\) | |||||||
\(488\) | −107.202 | − | 107.202i | −0.219677 | − | 0.219677i | ||||
\(489\) | −670.616 | − | 670.616i | −1.37140 | − | 1.37140i | ||||
\(490\) | 141.297i | 0.288362i | ||||||||
\(491\) | − | 423.405i | − | 0.862332i | −0.902273 | − | 0.431166i | \(-0.858102\pi\) | ||
0.902273 | − | 0.431166i | \(-0.141898\pi\) | |||||||
\(492\) | −28.4431 | + | 28.4431i | −0.0578112 | + | 0.0578112i | ||||
\(493\) | −45.8619 | − | 45.8619i | −0.0930262 | − | 0.0930262i | ||||
\(494\) | 106.753 | 0.216098 | ||||||||
\(495\) | 52.7100 | 0.106485 | ||||||||
\(496\) | −111.864 | + | 111.864i | −0.225532 | + | 0.225532i | ||||
\(497\) | −355.613 | + | 355.613i | −0.715520 | + | 0.715520i | ||||
\(498\) | 280.465 | 0.563182 | ||||||||
\(499\) | −816.198 | −1.63567 | −0.817833 | − | 0.575455i | \(-0.804825\pi\) | ||||
−0.817833 | + | 0.575455i | \(0.804825\pi\) | |||||||
\(500\) | −897.507 | + | 897.507i | −1.79501 | + | 1.79501i | ||||
\(501\) | − | 255.752i | − | 0.510482i | ||||||
\(502\) | −165.814 | + | 165.814i | −0.330307 | + | 0.330307i | ||||
\(503\) | 393.199i | 0.781708i | 0.920453 | + | 0.390854i | \(0.127820\pi\) | ||||
−0.920453 | + | 0.390854i | \(0.872180\pi\) | |||||||
\(504\) | 105.316 | + | 105.316i | 0.208960 | + | 0.208960i | ||||
\(505\) | −263.737 | + | 263.737i | −0.522251 | + | 0.522251i | ||||
\(506\) | − | 40.8977i | − | 0.0808256i | ||||||
\(507\) | 355.038 | + | 355.038i | 0.700272 | + | 0.700272i | ||||
\(508\) | 684.456 | 1.34735 | ||||||||
\(509\) | −414.170 | + | 414.170i | −0.813693 | + | 0.813693i | −0.985185 | − | 0.171493i | \(-0.945141\pi\) |
0.171493 | + | 0.985185i | \(0.445141\pi\) | |||||||
\(510\) | 94.4742i | 0.185244i | ||||||||
\(511\) | 318.545 | + | 318.545i | 0.623376 | + | 0.623376i | ||||
\(512\) | 256.525 | − | 256.525i | 0.501025 | − | 0.501025i | ||||
\(513\) | 275.247 | − | 275.247i | 0.536545 | − | 0.536545i | ||||
\(514\) | −121.221 | + | 121.221i | −0.235839 | + | 0.235839i | ||||
\(515\) | 108.782i | 0.211227i | ||||||||
\(516\) | −457.826 | + | 457.826i | −0.887260 | + | 0.887260i | ||||
\(517\) | 54.7054 | + | 54.7054i | 0.105813 | + | 0.105813i | ||||
\(518\) | 226.782 | + | 226.782i | 0.437803 | + | 0.437803i | ||||
\(519\) | −330.406 | − | 330.406i | −0.636621 | − | 0.636621i | ||||
\(520\) | 245.140 | − | 245.140i | 0.471424 | − | 0.471424i | ||||
\(521\) | − | 442.868i | − | 0.850035i | −0.905185 | − | 0.425017i | \(-0.860268\pi\) | ||
0.905185 | − | 0.425017i | \(-0.139732\pi\) | |||||||
\(522\) | 57.1998 | + | 57.1998i | 0.109578 | + | 0.109578i | ||||
\(523\) | 132.896 | + | 132.896i | 0.254104 | + | 0.254104i | 0.822651 | − | 0.568547i | \(-0.192494\pi\) |
−0.568547 | + | 0.822651i | \(0.692494\pi\) | |||||||
\(524\) | 114.073 | + | 114.073i | 0.217696 | + | 0.217696i | ||||
\(525\) | 988.209 | − | 988.209i | 1.88230 | − | 1.88230i | ||||
\(526\) | −314.879 | −0.598630 | ||||||||
\(527\) | 75.3040 | 0.142892 | ||||||||
\(528\) | 31.2276i | 0.0591433i | ||||||||
\(529\) | 391.786 | 0.740616 | ||||||||
\(530\) | 4.41850i | 0.00833679i | ||||||||
\(531\) | 157.522i | 0.296651i | ||||||||
\(532\) | 378.398i | 0.711274i | ||||||||
\(533\) | −13.7187 | − | 13.7187i | −0.0257386 | − | 0.0257386i | ||||
\(534\) | −352.311 | + | 352.311i | −0.659758 | + | 0.659758i | ||||
\(535\) | −718.551 | − | 718.551i | −1.34309 | − | 1.34309i | ||||
\(536\) | 348.493 | 0.650174 | ||||||||
\(537\) | − | 43.4325i | − | 0.0808799i | ||||||
\(538\) | 248.417i | 0.461742i | ||||||||
\(539\) | 15.7202 | − | 15.7202i | 0.0291654 | − | 0.0291654i | ||||
\(540\) | − | 552.856i | − | 1.02381i | ||||||
\(541\) | −217.985 | + | 217.985i | −0.402929 | + | 0.402929i | −0.879264 | − | 0.476335i | \(-0.841965\pi\) |
0.476335 | + | 0.879264i | \(0.341965\pi\) | |||||||
\(542\) | − | 381.740i | − | 0.704317i | ||||||
\(543\) | −778.700 | − | 778.700i | −1.43407 | − | 1.43407i | ||||
\(544\) | −94.7108 | −0.174101 | ||||||||
\(545\) | −766.094 | − | 766.094i | −1.40568 | − | 1.40568i | ||||
\(546\) | −74.2966 | + | 74.2966i | −0.136074 | + | 0.136074i | ||||
\(547\) | 27.2395 | − | 27.2395i | 0.0497980 | − | 0.0497980i | −0.681769 | − | 0.731567i | \(-0.738789\pi\) |
0.731567 | + | 0.681769i | \(0.238789\pi\) | |||||||
\(548\) | 254.581 | 0.464563 | ||||||||
\(549\) | 86.7375i | 0.157992i | ||||||||
\(550\) | −90.9168 | −0.165303 | ||||||||
\(551\) | 469.924i | 0.852856i | ||||||||
\(552\) | 729.570 | 1.32168 | ||||||||
\(553\) | 464.655 | − | 464.655i | 0.840244 | − | 0.840244i | ||||
\(554\) | − | 10.9387i | − | 0.0197450i | ||||||
\(555\) | 2024.77i | 3.64823i | ||||||||
\(556\) | 313.361 | − | 313.361i | 0.563598 | − | 0.563598i | ||||
\(557\) | − | 85.8619i | − | 0.154151i | −0.997025 | − | 0.0770754i | \(-0.975442\pi\) | ||
0.997025 | − | 0.0770754i | \(-0.0245582\pi\) | |||||||
\(558\) | −93.9205 | −0.168316 | ||||||||
\(559\) | −220.818 | − | 220.818i | −0.395023 | − | 0.395023i | ||||
\(560\) | 239.933 | + | 239.933i | 0.428452 | + | 0.428452i | ||||
\(561\) | 10.5108 | − | 10.5108i | 0.0187359 | − | 0.0187359i | ||||
\(562\) | 205.881i | 0.366336i | ||||||||
\(563\) | 675.575i | 1.19996i | 0.800017 | + | 0.599978i | \(0.204824\pi\) | ||||
−0.800017 | + | 0.599978i | \(0.795176\pi\) | |||||||
\(564\) | −426.796 | + | 426.796i | −0.756731 | + | 0.756731i | ||||
\(565\) | 1538.23 | 2.72253 | ||||||||
\(566\) | −239.740 | −0.423570 | ||||||||
\(567\) | 582.897i | 1.02804i | ||||||||
\(568\) | 583.634i | 1.02753i | ||||||||
\(569\) | 442.696 | 0.778025 | 0.389013 | − | 0.921232i | \(-0.372816\pi\) | ||||
0.389013 | + | 0.921232i | \(0.372816\pi\) | |||||||
\(570\) | 484.015 | − | 484.015i | 0.849149 | − | 0.849149i | ||||
\(571\) | −163.321 | + | 163.321i | −0.286026 | + | 0.286026i | −0.835507 | − | 0.549480i | \(-0.814826\pi\) |
0.549480 | + | 0.835507i | \(0.314826\pi\) | |||||||
\(572\) | −23.8557 | −0.0417057 | ||||||||
\(573\) | 150.072 | − | 150.072i | 0.261906 | − | 0.261906i | ||||
\(574\) | −13.9333 | + | 13.9333i | −0.0242741 | + | 0.0242741i | ||||
\(575\) | − | 2046.93i | − | 3.55988i | ||||||
\(576\) | 24.4054 | 0.0423704 | ||||||||
\(577\) | 712.767 | − | 712.767i | 1.23530 | − | 1.23530i | 0.273397 | − | 0.961901i | \(-0.411853\pi\) |
0.961901 | − | 0.273397i | \(-0.0881473\pi\) | |||||||
\(578\) | −187.248 | − | 187.248i | −0.323958 | − | 0.323958i | ||||
\(579\) | 569.033 | − | 569.033i | 0.982786 | − | 0.982786i | ||||
\(580\) | 471.940 | + | 471.940i | 0.813689 | + | 0.813689i | ||||
\(581\) | −479.494 | −0.825290 | ||||||||
\(582\) | −317.967 | −0.546336 | ||||||||
\(583\) | 0.491585 | − | 0.491585i | 0.000843198 | − | 0.000843198i | ||||
\(584\) | 522.798 | 0.895202 | ||||||||
\(585\) | −198.343 | −0.339048 | ||||||||
\(586\) | 249.474 | + | 249.474i | 0.425724 | + | 0.425724i | ||||
\(587\) | 92.7714 | 0.158043 | 0.0790217 | − | 0.996873i | \(-0.474820\pi\) | ||||
0.0790217 | + | 0.996873i | \(0.474820\pi\) | |||||||
\(588\) | 122.644 | + | 122.644i | 0.208579 | + | 0.208579i | ||||
\(589\) | −385.801 | − | 385.801i | −0.655010 | − | 0.655010i | ||||
\(590\) | − | 372.396i | − | 0.631180i | ||||||
\(591\) | −335.619 | + | 620.988i | −0.567883 | + | 1.05074i | ||||
\(592\) | −358.677 | −0.605873 | ||||||||
\(593\) | 742.567 | − | 742.567i | 1.25222 | − | 1.25222i | 0.297498 | − | 0.954722i | \(-0.403848\pi\) |
0.954722 | − | 0.297498i | \(-0.0961523\pi\) | |||||||
\(594\) | 17.6242 | − | 17.6242i | 0.0296703 | − | 0.0296703i | ||||
\(595\) | − | 161.517i | − | 0.271457i | ||||||
\(596\) | −244.445 | + | 244.445i | −0.410142 | + | 0.410142i | ||||
\(597\) | 527.314i | 0.883273i | ||||||||
\(598\) | 153.895i | 0.257349i | ||||||||
\(599\) | 73.7717 | + | 73.7717i | 0.123158 | + | 0.123158i | 0.765999 | − | 0.642841i | \(-0.222245\pi\) |
−0.642841 | + | 0.765999i | \(0.722245\pi\) | |||||||
\(600\) | − | 1621.85i | − | 2.70309i | ||||||
\(601\) | 287.726i | 0.478745i | 0.970928 | + | 0.239372i | \(0.0769416\pi\) | ||||
−0.970928 | + | 0.239372i | \(0.923058\pi\) | |||||||
\(602\) | −224.273 | + | 224.273i | −0.372547 | + | 0.372547i | ||||
\(603\) | −140.983 | − | 140.983i | −0.233803 | − | 0.233803i | ||||
\(604\) | −413.021 | + | 413.021i | −0.683809 | + | 0.683809i | ||||
\(605\) | −808.832 | − | 808.832i | −1.33691 | − | 1.33691i | ||||
\(606\) | − | 131.186i | − | 0.216478i | ||||||
\(607\) | −355.159 | −0.585105 | −0.292553 | − | 0.956249i | \(-0.594505\pi\) | ||||
−0.292553 | + | 0.956249i | \(0.594505\pi\) | |||||||
\(608\) | 485.227 | + | 485.227i | 0.798071 | + | 0.798071i | ||||
\(609\) | −327.053 | − | 327.053i | −0.537033 | − | 0.537033i | ||||
\(610\) | − | 205.056i | − | 0.336157i | ||||||
\(611\) | −205.852 | − | 205.852i | −0.336910 | − | 0.336910i | ||||
\(612\) | 24.5193 | + | 24.5193i | 0.0400642 | + | 0.0400642i | ||||
\(613\) | 1057.66i | 1.72538i | 0.505731 | + | 0.862691i | \(0.331223\pi\) | ||||
−0.505731 | + | 0.862691i | \(0.668777\pi\) | |||||||
\(614\) | −441.008 | −0.718254 | ||||||||
\(615\) | −124.400 | −0.202277 | ||||||||
\(616\) | 55.4003i | 0.0899355i | ||||||||
\(617\) | 788.170i | 1.27742i | 0.769447 | + | 0.638711i | \(0.220532\pi\) | ||||
−0.769447 | + | 0.638711i | \(0.779468\pi\) | |||||||
\(618\) | −27.0547 | − | 27.0547i | −0.0437778 | − | 0.0437778i | ||||
\(619\) | 17.0969 | 0.0276202 | 0.0138101 | − | 0.999905i | \(-0.495604\pi\) | ||||
0.0138101 | + | 0.999905i | \(0.495604\pi\) | |||||||
\(620\) | −774.912 | −1.24986 | ||||||||
\(621\) | 396.797 | + | 396.797i | 0.638965 | + | 0.638965i | ||||
\(622\) | −254.409 | + | 254.409i | −0.409017 | + | 0.409017i | ||||
\(623\) | 602.324 | − | 602.324i | 0.966813 | − | 0.966813i | ||||
\(624\) | − | 117.507i | − | 0.188312i | ||||||
\(625\) | −2238.97 | −3.58236 | ||||||||
\(626\) | −5.14587 | − | 5.14587i | −0.00822025 | − | 0.00822025i | ||||
\(627\) | −107.699 | −0.171769 | ||||||||
\(628\) | −110.230 | −0.175525 | ||||||||
\(629\) | 120.726 | + | 120.726i | 0.191933 | + | 0.191933i | ||||
\(630\) | 201.447i | 0.319757i | ||||||||
\(631\) | 33.6668 | 0.0533547 | 0.0266774 | − | 0.999644i | \(-0.491507\pi\) | ||||
0.0266774 | + | 0.999644i | \(0.491507\pi\) | |||||||
\(632\) | − | 762.594i | − | 1.20664i | ||||||
\(633\) | 1226.45 | 1.93752 | ||||||||
\(634\) | − | 321.495i | − | 0.507090i | ||||||
\(635\) | 1496.79 | + | 1496.79i | 2.35714 | + | 2.35714i | ||||
\(636\) | 3.83520 | + | 3.83520i | 0.00603019 | + | 0.00603019i | ||||
\(637\) | −59.1537 | + | 59.1537i | −0.0928629 | + | 0.0928629i | ||||
\(638\) | 30.0894i | 0.0471620i | ||||||||
\(639\) | 236.109 | − | 236.109i | 0.369498 | − | 0.369498i | ||||
\(640\) | 1196.18 | 1.86903 | ||||||||
\(641\) | 423.988 | + | 423.988i | 0.661447 | + | 0.661447i | 0.955721 | − | 0.294274i | \(-0.0950777\pi\) |
−0.294274 | + | 0.955721i | \(0.595078\pi\) | |||||||
\(642\) | 357.417 | 0.556724 | ||||||||
\(643\) | −58.3662 | − | 58.3662i | −0.0907717 | − | 0.0907717i | 0.660263 | − | 0.751035i | \(-0.270445\pi\) |
−0.751035 | + | 0.660263i | \(0.770445\pi\) | |||||||
\(644\) | −545.499 | −0.847048 | ||||||||
\(645\) | −2002.37 | −3.10445 | ||||||||
\(646\) | − | 57.7184i | − | 0.0893473i | ||||||
\(647\) | 189.680 | − | 189.680i | 0.293168 | − | 0.293168i | −0.545162 | − | 0.838331i | \(-0.683532\pi\) |
0.838331 | + | 0.545162i | \(0.183532\pi\) | |||||||
\(648\) | 478.326 | + | 478.326i | 0.738158 | + | 0.738158i | ||||
\(649\) | −41.4313 | + | 41.4313i | −0.0638387 | + | 0.0638387i | ||||
\(650\) | 342.112 | 0.526326 | ||||||||
\(651\) | 537.012 | 0.824903 | ||||||||
\(652\) | 822.932 | 1.26217 | ||||||||
\(653\) | 512.285i | 0.784510i | 0.919856 | + | 0.392255i | \(0.128305\pi\) | ||||
−0.919856 | + | 0.392255i | \(0.871695\pi\) | |||||||
\(654\) | 381.065 | 0.582668 | ||||||||
\(655\) | 498.915i | 0.761703i | ||||||||
\(656\) | − | 22.0368i | − | 0.0335928i | ||||||
\(657\) | −211.498 | − | 211.498i | −0.321915 | − | 0.321915i | ||||
\(658\) | −209.073 | + | 209.073i | −0.317740 | + | 0.317740i | ||||
\(659\) | 552.326 | − | 552.326i | 0.838128 | − | 0.838128i | −0.150485 | − | 0.988612i | \(-0.548083\pi\) |
0.988612 | + | 0.150485i | \(0.0480834\pi\) | |||||||
\(660\) | −108.161 | + | 108.161i | −0.163881 | + | 0.163881i | ||||
\(661\) | 564.855 | 0.854547 | 0.427273 | − | 0.904122i | \(-0.359474\pi\) | ||||
0.427273 | + | 0.904122i | \(0.359474\pi\) | |||||||
\(662\) | −149.022 | − | 149.022i | −0.225108 | − | 0.225108i | ||||
\(663\) | −39.5514 | + | 39.5514i | −0.0596551 | + | 0.0596551i | ||||
\(664\) | −393.474 | + | 393.474i | −0.592581 | + | 0.592581i | ||||
\(665\) | −827.490 | + | 827.490i | −1.24435 | + | 1.24435i | ||||
\(666\) | −150.572 | − | 150.572i | −0.226084 | − | 0.226084i | ||||
\(667\) | −677.443 | −1.01566 | ||||||||
\(668\) | 156.920 | + | 156.920i | 0.234910 | + | 0.234910i | ||||
\(669\) | −528.683 | − | 528.683i | −0.790258 | − | 0.790258i | ||||
\(670\) | 333.297 | + | 333.297i | 0.497458 | + | 0.497458i | ||||
\(671\) | −22.8137 | + | 22.8137i | −0.0339995 | + | 0.0339995i | ||||
\(672\) | −675.407 | −1.00507 | ||||||||
\(673\) | 284.508 | + | 284.508i | 0.422746 | + | 0.422746i | 0.886148 | − | 0.463402i | \(-0.153371\pi\) |
−0.463402 | + | 0.886148i | \(0.653371\pi\) | |||||||
\(674\) | 581.691i | 0.863043i | ||||||||
\(675\) | 882.091 | − | 882.091i | 1.30680 | − | 1.30680i | ||||
\(676\) | −435.677 | −0.644492 | ||||||||
\(677\) | −343.841 | − | 343.841i | −0.507889 | − | 0.507889i | 0.405989 | − | 0.913878i | \(-0.366927\pi\) |
−0.913878 | + | 0.405989i | \(0.866927\pi\) | |||||||
\(678\) | −382.567 | + | 382.567i | −0.564259 | + | 0.564259i | ||||
\(679\) | 543.610 | 0.800603 | ||||||||
\(680\) | −132.541 | − | 132.541i | −0.194913 | − | 0.194913i | ||||
\(681\) | 437.758 | 0.642817 | ||||||||
\(682\) | −24.7030 | − | 24.7030i | −0.0362214 | − | 0.0362214i | ||||
\(683\) | − | 747.941i | − | 1.09508i | −0.836779 | − | 0.547541i | \(-0.815564\pi\) | ||
0.836779 | − | 0.547541i | \(-0.184436\pi\) | |||||||
\(684\) | − | 251.237i | − | 0.367306i | ||||||
\(685\) | 556.724 | + | 556.724i | 0.812735 | + | 0.812735i | ||||
\(686\) | 249.167 | + | 249.167i | 0.363217 | + | 0.363217i | ||||
\(687\) | 566.626i | 0.824784i | ||||||||
\(688\) | − | 354.709i | − | 0.515566i | ||||||
\(689\) | −1.84979 | + | 1.84979i | −0.00268475 | + | 0.00268475i | ||||
\(690\) | 697.756 | + | 697.756i | 1.01124 | + | 1.01124i | ||||
\(691\) | 652.256 | 0.943930 | 0.471965 | − | 0.881617i | \(-0.343545\pi\) | ||||
0.471965 | + | 0.881617i | \(0.343545\pi\) | |||||||
\(692\) | 405.451 | 0.585911 | ||||||||
\(693\) | 22.4122 | − | 22.4122i | 0.0323408 | − | 0.0323408i | ||||
\(694\) | 304.996 | − | 304.996i | 0.439476 | − | 0.439476i | ||||
\(695\) | 1370.53 | 1.97199 | ||||||||
\(696\) | −536.761 | −0.771208 | ||||||||
\(697\) | −7.41732 | + | 7.41732i | −0.0106418 | + | 0.0106418i | ||||
\(698\) | 201.568i | 0.288779i | ||||||||
\(699\) | −557.590 | + | 557.590i | −0.797697 | + | 0.797697i | ||||
\(700\) | 1212.66i | 1.73237i | ||||||||
\(701\) | 329.174 | + | 329.174i | 0.469577 | + | 0.469577i | 0.901778 | − | 0.432200i | \(-0.142263\pi\) |
−0.432200 | + | 0.901778i | \(0.642263\pi\) | |||||||
\(702\) | −66.3183 | + | 66.3183i | −0.0944706 | + | 0.0944706i | ||||
\(703\) | − | 1237.02i | − | 1.75963i | ||||||
\(704\) | 6.41909 | + | 6.41909i | 0.00911803 | + | 0.00911803i | ||||
\(705\) | −1866.66 | −2.64774 | ||||||||
\(706\) | 453.394 | − | 453.394i | 0.642201 | − | 0.642201i | ||||
\(707\) | 224.281i | 0.317229i | ||||||||
\(708\) | −323.235 | − | 323.235i | −0.456547 | − | 0.456547i | ||||
\(709\) | 104.752 | − | 104.752i | 0.147746 | − | 0.147746i | −0.629364 | − | 0.777110i | \(-0.716685\pi\) |
0.777110 | + | 0.629364i | \(0.216685\pi\) | |||||||
\(710\) | −558.185 | + | 558.185i | −0.786176 | + | 0.786176i | ||||
\(711\) | −308.507 | + | 308.507i | −0.433906 | + | 0.433906i | ||||
\(712\) | − | 988.537i | − | 1.38840i | ||||||
\(713\) | 556.171 | − | 556.171i | 0.780044 | − | 0.780044i | ||||
\(714\) | 40.1703 | + | 40.1703i | 0.0562609 | + | 0.0562609i | ||||
\(715\) | −52.1682 | − | 52.1682i | −0.0729625 | − | 0.0729625i | ||||
\(716\) | 26.6486 | + | 26.6486i | 0.0372188 | + | 0.0372188i | ||||
\(717\) | 918.333 | − | 918.333i | 1.28080 | − | 1.28080i | ||||
\(718\) | − | 54.3555i | − | 0.0757040i | ||||||
\(719\) | 342.186 | + | 342.186i | 0.475920 | + | 0.475920i | 0.903824 | − | 0.427904i | \(-0.140748\pi\) |
−0.427904 | + | 0.903824i | \(0.640748\pi\) | |||||||
\(720\) | −159.303 | − | 159.303i | −0.221255 | − | 0.221255i | ||||
\(721\) | 46.2538 | + | 46.2538i | 0.0641522 | + | 0.0641522i | ||||
\(722\) | −54.7712 | + | 54.7712i | −0.0758604 | + | 0.0758604i | ||||
\(723\) | 1002.22 | 1.38620 | ||||||||
\(724\) | 955.564 | 1.31984 | ||||||||
\(725\) | 1505.97i | 2.07721i | ||||||||
\(726\) | 402.323 | 0.554164 | ||||||||
\(727\) | − | 1161.83i | − | 1.59811i | −0.601257 | − | 0.799056i | \(-0.705333\pi\) | ||
0.601257 | − | 0.799056i | \(-0.294667\pi\) | |||||||
\(728\) | − | 208.467i | − | 0.286355i | ||||||
\(729\) | 209.349i | 0.287174i | ||||||||
\(730\) | 500.001 | + | 500.001i | 0.684933 | + | 0.684933i | ||||
\(731\) | −119.391 | + | 119.391i | −0.163325 | + | 0.163325i | ||||
\(732\) | −177.986 | − | 177.986i | −0.243150 | − | 0.243150i | ||||
\(733\) | −986.866 | −1.34634 | −0.673169 | − | 0.739489i | \(-0.735067\pi\) | ||||
−0.673169 | + | 0.739489i | \(0.735067\pi\) | |||||||
\(734\) | 304.174i | 0.414406i | ||||||||
\(735\) | 536.404i | 0.729801i | ||||||||
\(736\) | −699.504 | + | 699.504i | −0.950413 | + | 0.950413i | ||||
\(737\) | − | 74.1626i | − | 0.100628i | ||||||
\(738\) | 9.25103 | − | 9.25103i | 0.0125353 | − | 0.0125353i | ||||
\(739\) | 1236.09i | 1.67265i | 0.548231 | + | 0.836327i | \(0.315302\pi\) | ||||
−0.548231 | + | 0.836327i | \(0.684698\pi\) | |||||||
\(740\) | −1242.33 | − | 1242.33i | −1.67882 | − | 1.67882i | ||||
\(741\) | 405.263 | 0.546913 | ||||||||
\(742\) | 1.87874 | + | 1.87874i | 0.00253199 | + | 0.00253199i | ||||
\(743\) | 354.588 | − | 354.588i | 0.477239 | − | 0.477239i | −0.427009 | − | 0.904247i | \(-0.640433\pi\) |
0.904247 | + | 0.427009i | \(0.140433\pi\) | |||||||
\(744\) | 440.673 | − | 440.673i | 0.592302 | − | 0.592302i | ||||
\(745\) | −1069.12 | −1.43506 | ||||||||
\(746\) | − | 41.4055i | − | 0.0555034i | ||||||
\(747\) | 318.360 | 0.426184 | ||||||||
\(748\) | 12.8981i | 0.0172435i | ||||||||
\(749\) | −611.053 | −0.815826 | ||||||||
\(750\) | 976.268 | − | 976.268i | 1.30169 | − | 1.30169i | ||||
\(751\) | 638.554i | 0.850272i | 0.905130 | + | 0.425136i | \(0.139774\pi\) | ||||
−0.905130 | + | 0.425136i | \(0.860226\pi\) | |||||||
\(752\) | − | 330.668i | − | 0.439718i | ||||||
\(753\) | −629.476 | + | 629.476i | −0.835958 | + | 0.835958i | ||||
\(754\) | − | 113.224i | − | 0.150164i | ||||||
\(755\) | −1806.41 | −2.39260 | ||||||||
\(756\) | −235.074 | − | 235.074i | −0.310944 | − | 0.310944i | ||||
\(757\) | 336.326 | + | 336.326i | 0.444288 | + | 0.444288i | 0.893450 | − | 0.449162i | \(-0.148277\pi\) |
−0.449162 | + | 0.893450i | \(0.648277\pi\) | |||||||
\(758\) | 354.019 | − | 354.019i | 0.467044 | − | 0.467044i | ||||
\(759\) | − | 155.259i | − | 0.204558i | ||||||
\(760\) | 1358.08i | 1.78695i | ||||||||
\(761\) | −215.247 | + | 215.247i | −0.282847 | + | 0.282847i | −0.834244 | − | 0.551396i | \(-0.814095\pi\) |
0.551396 | + | 0.834244i | \(0.314095\pi\) | |||||||
\(762\) | −744.520 | −0.977061 | ||||||||
\(763\) | −651.483 | −0.853844 | ||||||||
\(764\) | 184.158i | 0.241045i | ||||||||
\(765\) | 107.239i | 0.140182i | ||||||||
\(766\) | −146.778 | −0.191616 | ||||||||
\(767\) | 155.903 | − | 155.903i | 0.203263 | − | 0.203263i | ||||
\(768\) | −361.927 | + | 361.927i | −0.471259 | + | 0.471259i | ||||
\(769\) | 905.056 | 1.17693 | 0.588463 | − | 0.808524i | \(-0.299733\pi\) | ||||
0.588463 | + | 0.808524i | \(0.299733\pi\) | |||||||
\(770\) | −52.9845 | + | 52.9845i | −0.0688111 | + | 0.0688111i | ||||
\(771\) | −460.190 | + | 460.190i | −0.596875 | + | 0.596875i | ||||
\(772\) | 698.276i | 0.904503i | ||||||||
\(773\) | 419.708 | 0.542959 | 0.271480 | − | 0.962444i | \(-0.412487\pi\) | ||||
0.271480 | + | 0.962444i | \(0.412487\pi\) | |||||||
\(774\) | 148.906 | − | 148.906i | 0.192385 | − | 0.192385i | ||||
\(775\) | −1236.38 | − | 1236.38i | −1.59533 | − | 1.59533i |