Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [50,3,Mod(3,50)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(50, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("50.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 50 = 2 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 50.f (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.36240132180\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{20})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 30x^{14} + 351x^{12} + 2130x^{10} + 7341x^{8} + 14480x^{6} + 15196x^{4} + 6560x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Root | \(-3.40366i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 50.13 |
Dual form | 50.3.f.a.27.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).
\(n\) | \(27\) |
\(\chi(n)\) | \(e\left(\frac{19}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39680 | + | 0.221232i | −0.698401 | + | 0.110616i | ||||
\(3\) | 0.252608 | − | 0.495771i | 0.0842027 | − | 0.165257i | −0.845066 | − | 0.534663i | \(-0.820439\pi\) |
0.929268 | + | 0.369406i | \(0.120439\pi\) | |||||||
\(4\) | 1.90211 | − | 0.618034i | 0.475528 | − | 0.154508i | ||||
\(5\) | 3.68015 | + | 3.38474i | 0.736030 | + | 0.676949i | ||||
\(6\) | −0.243163 | + | 0.748380i | −0.0405272 | + | 0.124730i | ||||
\(7\) | 7.20385 | − | 7.20385i | 1.02912 | − | 1.02912i | 0.0295578 | − | 0.999563i | \(-0.490590\pi\) |
0.999563 | − | 0.0295578i | \(-0.00940991\pi\) | |||||||
\(8\) | −2.52015 | + | 1.28408i | −0.315018 | + | 0.160510i | ||||
\(9\) | 5.10809 | + | 7.03068i | 0.567565 | + | 0.781187i | ||||
\(10\) | −5.88926 | − | 3.91365i | −0.588926 | − | 0.391365i | ||||
\(11\) | 4.56901 | + | 3.31958i | 0.415365 | + | 0.301780i | 0.775770 | − | 0.631016i | \(-0.217362\pi\) |
−0.360405 | + | 0.932796i | \(0.617362\pi\) | |||||||
\(12\) | 0.174086 | − | 1.09913i | 0.0145071 | − | 0.0915945i | ||||
\(13\) | −22.6344 | − | 3.58493i | −1.74111 | − | 0.275764i | −0.796659 | − | 0.604429i | \(-0.793401\pi\) |
−0.944446 | + | 0.328666i | \(0.893401\pi\) | |||||||
\(14\) | −8.46863 | + | 11.6561i | −0.604902 | + | 0.832576i | ||||
\(15\) | 2.60770 | − | 0.969500i | 0.173846 | − | 0.0646333i | ||||
\(16\) | 3.23607 | − | 2.35114i | 0.202254 | − | 0.146946i | ||||
\(17\) | −8.10888 | − | 15.9146i | −0.476993 | − | 0.936151i | −0.996651 | − | 0.0817767i | \(-0.973941\pi\) |
0.519658 | − | 0.854374i | \(-0.326059\pi\) | |||||||
\(18\) | −8.69040 | − | 8.69040i | −0.482800 | − | 0.482800i | ||||
\(19\) | −13.6027 | − | 4.41978i | −0.715931 | − | 0.232620i | −0.0716731 | − | 0.997428i | \(-0.522834\pi\) |
−0.644258 | + | 0.764808i | \(0.722834\pi\) | |||||||
\(20\) | 9.09195 | + | 4.16371i | 0.454597 | + | 0.208185i | ||||
\(21\) | −1.75171 | − | 5.39121i | −0.0834148 | − | 0.256724i | ||||
\(22\) | −7.11641 | − | 3.62599i | −0.323473 | − | 0.164818i | ||||
\(23\) | 4.05981 | + | 25.6327i | 0.176514 | + | 1.11446i | 0.903745 | + | 0.428071i | \(0.140807\pi\) |
−0.727232 | + | 0.686392i | \(0.759193\pi\) | |||||||
\(24\) | 1.57379i | 0.0655744i | ||||||||
\(25\) | 2.08702 | + | 24.9127i | 0.0834807 | + | 0.996509i | ||||
\(26\) | 32.4088 | 1.24649 | ||||||||
\(27\) | 9.72206 | − | 1.53982i | 0.360076 | − | 0.0570305i | ||||
\(28\) | 9.25031 | − | 18.1548i | 0.330368 | − | 0.648384i | ||||
\(29\) | −14.8092 | + | 4.81180i | −0.510662 | + | 0.165924i | −0.553003 | − | 0.833179i | \(-0.686518\pi\) |
0.0423415 | + | 0.999103i | \(0.486518\pi\) | |||||||
\(30\) | −3.42795 | + | 1.93110i | −0.114265 | + | 0.0643701i | ||||
\(31\) | 10.7392 | − | 33.0518i | 0.346425 | − | 1.06619i | −0.614392 | − | 0.789001i | \(-0.710598\pi\) |
0.960817 | − | 0.277185i | \(-0.0894015\pi\) | |||||||
\(32\) | −4.00000 | + | 4.00000i | −0.125000 | + | 0.125000i | ||||
\(33\) | 2.79992 | − | 1.42663i | 0.0848462 | − | 0.0432313i | ||||
\(34\) | 14.8473 | + | 20.4356i | 0.436686 | + | 0.601046i | ||||
\(35\) | 50.8944 | − | 2.12806i | 1.45413 | − | 0.0608018i | ||||
\(36\) | 14.0614 | + | 10.2162i | 0.390593 | + | 0.283783i | ||||
\(37\) | 2.42751 | − | 15.3267i | 0.0656084 | − | 0.414235i | −0.932924 | − | 0.360074i | \(-0.882752\pi\) |
0.998532 | − | 0.0541612i | \(-0.0172485\pi\) | |||||||
\(38\) | 19.9781 | + | 3.16422i | 0.525739 | + | 0.0832688i | ||||
\(39\) | −7.49493 | + | 10.3159i | −0.192178 | + | 0.264510i | ||||
\(40\) | −13.6208 | − | 3.80445i | −0.340520 | − | 0.0951112i | ||||
\(41\) | −37.3476 | + | 27.1346i | −0.910917 | + | 0.661820i | −0.941247 | − | 0.337720i | \(-0.890344\pi\) |
0.0303297 | + | 0.999540i | \(0.490344\pi\) | |||||||
\(42\) | 3.63950 | + | 7.14292i | 0.0866548 | + | 0.170070i | ||||
\(43\) | −31.8617 | − | 31.8617i | −0.740969 | − | 0.740969i | 0.231796 | − | 0.972765i | \(-0.425540\pi\) |
−0.972765 | + | 0.231796i | \(0.925540\pi\) | |||||||
\(44\) | 10.7424 | + | 3.49042i | 0.244145 | + | 0.0793276i | ||||
\(45\) | −4.99852 | + | 43.1635i | −0.111078 | + | 0.959190i | ||||
\(46\) | −11.3415 | − | 34.9056i | −0.246555 | − | 0.758817i | ||||
\(47\) | 8.16953 | + | 4.16259i | 0.173820 | + | 0.0885657i | 0.538736 | − | 0.842475i | \(-0.318902\pi\) |
−0.364916 | + | 0.931041i | \(0.618902\pi\) | |||||||
\(48\) | −0.348171 | − | 2.19827i | −0.00725357 | − | 0.0457972i | ||||
\(49\) | − | 54.7908i | − | 1.11818i | ||||||
\(50\) | −8.42664 | − | 34.3364i | −0.168533 | − | 0.686729i | ||||
\(51\) | −9.93836 | −0.194870 | ||||||||
\(52\) | −45.2687 | + | 7.16986i | −0.870553 | + | 0.137882i | ||||
\(53\) | −12.8896 | + | 25.2972i | −0.243199 | + | 0.477305i | −0.980050 | − | 0.198750i | \(-0.936312\pi\) |
0.736851 | + | 0.676055i | \(0.236312\pi\) | |||||||
\(54\) | −13.2391 | + | 4.30166i | −0.245169 | + | 0.0796603i | ||||
\(55\) | 5.57872 | + | 27.6815i | 0.101431 | + | 0.503300i | ||||
\(56\) | −8.90444 | + | 27.4051i | −0.159008 | + | 0.489376i | ||||
\(57\) | −5.62735 | + | 5.62735i | −0.0987255 | + | 0.0987255i | ||||
\(58\) | 19.6210 | − | 9.99739i | 0.338293 | − | 0.172369i | ||||
\(59\) | −23.3065 | − | 32.0786i | −0.395025 | − | 0.543706i | 0.564461 | − | 0.825459i | \(-0.309084\pi\) |
−0.959487 | + | 0.281754i | \(0.909084\pi\) | |||||||
\(60\) | 4.36095 | − | 3.45574i | 0.0726825 | − | 0.0575957i | ||||
\(61\) | 11.5211 | + | 8.37057i | 0.188871 | + | 0.137223i | 0.678202 | − | 0.734875i | \(-0.262759\pi\) |
−0.489332 | + | 0.872098i | \(0.662759\pi\) | |||||||
\(62\) | −7.68840 | + | 48.5426i | −0.124006 | + | 0.782946i | ||||
\(63\) | 87.4458 | + | 13.8501i | 1.38803 | + | 0.219842i | ||||
\(64\) | 4.70228 | − | 6.47214i | 0.0734732 | − | 0.101127i | ||||
\(65\) | −71.1638 | − | 89.8046i | −1.09483 | − | 1.38161i | ||||
\(66\) | −3.59532 | + | 2.61216i | −0.0544746 | + | 0.0395781i | ||||
\(67\) | 24.8631 | + | 48.7966i | 0.371091 | + | 0.728308i | 0.998740 | − | 0.0501893i | \(-0.0159825\pi\) |
−0.627648 | + | 0.778497i | \(0.715982\pi\) | |||||||
\(68\) | −25.2597 | − | 25.2597i | −0.371467 | − | 0.371467i | ||||
\(69\) | 13.7335 | + | 4.46228i | 0.199036 | + | 0.0646707i | ||||
\(70\) | −70.6186 | + | 14.2319i | −1.00884 | + | 0.203313i | ||||
\(71\) | −23.8910 | − | 73.5289i | −0.336493 | − | 1.03562i | −0.965982 | − | 0.258609i | \(-0.916736\pi\) |
0.629489 | − | 0.777009i | \(-0.283264\pi\) | |||||||
\(72\) | −21.9011 | − | 11.1592i | −0.304182 | − | 0.154988i | ||||
\(73\) | 15.4792 | + | 97.7321i | 0.212044 | + | 1.33880i | 0.832269 | + | 0.554371i | \(0.187041\pi\) |
−0.620225 | + | 0.784424i | \(0.712959\pi\) | |||||||
\(74\) | 21.9454i | 0.296559i | ||||||||
\(75\) | 12.8782 | + | 5.25848i | 0.171710 | + | 0.0701130i | ||||
\(76\) | −28.6054 | −0.376387 | ||||||||
\(77\) | 56.8282 | − | 9.00071i | 0.738029 | − | 0.116892i | ||||
\(78\) | 8.18674 | − | 16.0674i | 0.104958 | − | 0.205992i | ||||
\(79\) | 110.397 | − | 35.8702i | 1.39743 | − | 0.454053i | 0.489073 | − | 0.872243i | \(-0.337335\pi\) |
0.908360 | + | 0.418189i | \(0.137335\pi\) | |||||||
\(80\) | 19.8672 | + | 2.30071i | 0.248340 | + | 0.0287589i | ||||
\(81\) | −22.4769 | + | 69.1767i | −0.277492 | + | 0.854033i | ||||
\(82\) | 46.1642 | − | 46.1642i | 0.562978 | − | 0.562978i | ||||
\(83\) | −13.6584 | + | 6.95931i | −0.164559 | + | 0.0838471i | −0.534330 | − | 0.845276i | \(-0.679436\pi\) |
0.369771 | + | 0.929123i | \(0.379436\pi\) | |||||||
\(84\) | −6.66390 | − | 9.17208i | −0.0793322 | − | 0.109191i | ||||
\(85\) | 24.0249 | − | 86.0145i | 0.282645 | − | 1.01194i | ||||
\(86\) | 51.5533 | + | 37.4556i | 0.599456 | + | 0.435531i | ||||
\(87\) | −1.35537 | + | 8.55747i | −0.0155790 | + | 0.0983617i | ||||
\(88\) | −15.7772 | − | 2.49886i | −0.179286 | − | 0.0283962i | ||||
\(89\) | 43.0149 | − | 59.2049i | 0.483314 | − | 0.665224i | −0.495824 | − | 0.868423i | \(-0.665134\pi\) |
0.979137 | + | 0.203199i | \(0.0651339\pi\) | |||||||
\(90\) | −2.56720 | − | 61.3968i | −0.0285245 | − | 0.682186i | ||||
\(91\) | −188.880 | + | 137.229i | −2.07560 | + | 1.50801i | ||||
\(92\) | 23.5641 | + | 46.2471i | 0.256131 | + | 0.502686i | ||||
\(93\) | −13.6733 | − | 13.6733i | −0.147025 | − | 0.147025i | ||||
\(94\) | −12.3321 | − | 4.00695i | −0.131193 | − | 0.0426271i | ||||
\(95\) | −35.1001 | − | 62.3071i | −0.369475 | − | 0.655864i | ||||
\(96\) | 0.972653 | + | 2.99352i | 0.0101318 | + | 0.0311825i | ||||
\(97\) | 67.9854 | + | 34.6403i | 0.700880 | + | 0.357116i | 0.767842 | − | 0.640639i | \(-0.221331\pi\) |
−0.0669620 | + | 0.997756i | \(0.521331\pi\) | |||||||
\(98\) | 12.1215 | + | 76.5319i | 0.123688 | + | 0.780938i | ||||
\(99\) | 49.0800i | 0.495758i | ||||||||
\(100\) | 19.3667 | + | 46.0970i | 0.193667 | + | 0.460970i | ||||
\(101\) | 156.192 | 1.54646 | 0.773228 | − | 0.634128i | \(-0.218641\pi\) | ||||
0.773228 | + | 0.634128i | \(0.218641\pi\) | |||||||
\(102\) | 13.8819 | − | 2.19868i | 0.136097 | − | 0.0215557i | ||||
\(103\) | 73.4520 | − | 144.158i | 0.713127 | − | 1.39959i | −0.194962 | − | 0.980811i | \(-0.562458\pi\) |
0.908088 | − | 0.418779i | \(-0.137542\pi\) | |||||||
\(104\) | 61.6453 | − | 20.0298i | 0.592743 | − | 0.192594i | ||||
\(105\) | 11.8013 | − | 25.7696i | 0.112393 | − | 0.245424i | ||||
\(106\) | 12.4076 | − | 38.1868i | 0.117053 | − | 0.360252i | ||||
\(107\) | −125.552 | + | 125.552i | −1.17338 | + | 1.17338i | −0.191981 | + | 0.981399i | \(0.561491\pi\) |
−0.981399 | + | 0.191981i | \(0.938509\pi\) | |||||||
\(108\) | 17.5408 | − | 8.93748i | 0.162415 | − | 0.0827544i | ||||
\(109\) | 52.2004 | + | 71.8476i | 0.478902 | + | 0.659153i | 0.978294 | − | 0.207224i | \(-0.0664429\pi\) |
−0.499391 | + | 0.866377i | \(0.666443\pi\) | |||||||
\(110\) | −13.9164 | − | 37.4314i | −0.126513 | − | 0.340286i | ||||
\(111\) | −6.98533 | − | 5.07514i | −0.0629309 | − | 0.0457220i | ||||
\(112\) | 6.37488 | − | 40.2494i | 0.0569186 | − | 0.359370i | ||||
\(113\) | 23.7002 | + | 3.75375i | 0.209736 | + | 0.0332190i | 0.260418 | − | 0.965496i | \(-0.416139\pi\) |
−0.0506820 | + | 0.998715i | \(0.516139\pi\) | |||||||
\(114\) | 6.61535 | − | 9.10525i | 0.0580294 | − | 0.0798706i | ||||
\(115\) | −71.8192 | + | 108.073i | −0.624515 | + | 0.939769i | ||||
\(116\) | −25.1949 | + | 18.3052i | −0.217197 | + | 0.157803i | ||||
\(117\) | −90.4138 | − | 177.447i | −0.772768 | − | 1.51664i | ||||
\(118\) | 39.6514 | + | 39.6514i | 0.336029 | + | 0.336029i | ||||
\(119\) | −173.061 | − | 56.2310i | −1.45430 | − | 0.472529i | ||||
\(120\) | −5.32686 | + | 5.79177i | −0.0443905 | + | 0.0482647i | ||||
\(121\) | −27.5348 | − | 84.7434i | −0.227560 | − | 0.700359i | ||||
\(122\) | −17.9445 | − | 9.14320i | −0.147086 | − | 0.0749443i | ||||
\(123\) | 4.01826 | + | 25.3703i | 0.0326688 | + | 0.206263i | ||||
\(124\) | − | 69.5054i | − | 0.560527i | ||||||
\(125\) | −76.6427 | + | 98.7466i | −0.613142 | + | 0.789973i | ||||
\(126\) | −125.209 | −0.993719 | ||||||||
\(127\) | −30.8349 | + | 4.88376i | −0.242794 | + | 0.0384548i | −0.276645 | − | 0.960972i | \(-0.589223\pi\) |
0.0338513 | + | 0.999427i | \(0.489223\pi\) | |||||||
\(128\) | −5.13632 | + | 10.0806i | −0.0401275 | + | 0.0787546i | ||||
\(129\) | −23.8446 | + | 7.74759i | −0.184842 | + | 0.0600588i | ||||
\(130\) | 119.269 | + | 109.696i | 0.917457 | + | 0.843812i | ||||
\(131\) | 39.8145 | − | 122.536i | 0.303928 | − | 0.935393i | −0.676148 | − | 0.736766i | \(-0.736352\pi\) |
0.980075 | − | 0.198627i | \(-0.0636481\pi\) | |||||||
\(132\) | 4.44407 | − | 4.44407i | 0.0336672 | − | 0.0336672i | ||||
\(133\) | −129.831 | + | 66.1523i | −0.976174 | + | 0.497386i | ||||
\(134\) | −45.5242 | − | 62.6587i | −0.339733 | − | 0.467602i | ||||
\(135\) | 40.9905 | + | 27.2399i | 0.303634 | + | 0.201777i | ||||
\(136\) | 40.8711 | + | 29.6946i | 0.300523 | + | 0.218343i | ||||
\(137\) | −4.80456 | + | 30.3348i | −0.0350698 | + | 0.221422i | −0.998999 | − | 0.0447377i | \(-0.985755\pi\) |
0.963929 | + | 0.266159i | \(0.0857548\pi\) | |||||||
\(138\) | −20.1702 | − | 3.19464i | −0.146161 | − | 0.0231496i | ||||
\(139\) | −100.363 | + | 138.137i | −0.722034 | + | 0.993794i | 0.277420 | + | 0.960749i | \(0.410521\pi\) |
−0.999454 | + | 0.0330456i | \(0.989479\pi\) | |||||||
\(140\) | 95.4917 | − | 35.5023i | 0.682084 | − | 0.253588i | ||||
\(141\) | 4.12738 | − | 2.99872i | 0.0292722 | − | 0.0212675i | ||||
\(142\) | 49.6379 | + | 97.4199i | 0.349563 | + | 0.686056i | ||||
\(143\) | −91.5163 | − | 91.5163i | −0.639974 | − | 0.639974i | ||||
\(144\) | 33.0602 | + | 10.7419i | 0.229585 | + | 0.0745967i | ||||
\(145\) | −70.7867 | − | 32.4172i | −0.488184 | − | 0.223567i | ||||
\(146\) | −43.2429 | − | 133.088i | −0.296184 | − | 0.911561i | ||||
\(147\) | −27.1637 | − | 13.8406i | −0.184787 | − | 0.0941538i | ||||
\(148\) | −4.85502 | − | 30.6534i | −0.0328042 | − | 0.207117i | ||||
\(149\) | 23.7099i | 0.159127i | 0.996830 | + | 0.0795635i | \(0.0253527\pi\) | ||||
−0.996830 | + | 0.0795635i | \(0.974647\pi\) | |||||||
\(150\) | −19.1517 | − | 4.49598i | −0.127678 | − | 0.0299732i | ||||
\(151\) | 207.294 | 1.37281 | 0.686403 | − | 0.727222i | \(-0.259189\pi\) | ||||
0.686403 | + | 0.727222i | \(0.259189\pi\) | |||||||
\(152\) | 39.9561 | − | 6.32843i | 0.262869 | − | 0.0416344i | ||||
\(153\) | 70.4694 | − | 138.304i | 0.460584 | − | 0.903948i | ||||
\(154\) | −77.3866 | + | 25.1444i | −0.502510 | + | 0.163275i | ||||
\(155\) | 151.394 | − | 85.2862i | 0.976733 | − | 0.550233i | ||||
\(156\) | −7.88064 | + | 24.2541i | −0.0505169 | + | 0.155475i | ||||
\(157\) | 25.6746 | − | 25.6746i | 0.163533 | − | 0.163533i | −0.620597 | − | 0.784130i | \(-0.713110\pi\) |
0.784130 | + | 0.620597i | \(0.213110\pi\) | |||||||
\(158\) | −146.267 | + | 74.5270i | −0.925743 | + | 0.471690i | ||||
\(159\) | 9.28562 | + | 12.7806i | 0.0584001 | + | 0.0803808i | ||||
\(160\) | −28.2596 | + | 1.18163i | −0.176622 | + | 0.00738517i | ||||
\(161\) | 213.900 | + | 155.407i | 1.32857 | + | 0.965263i | ||||
\(162\) | 16.0917 | − | 101.599i | 0.0993312 | − | 0.627153i | ||||
\(163\) | 81.5666 | + | 12.9189i | 0.500408 | + | 0.0792569i | 0.401536 | − | 0.915843i | \(-0.368476\pi\) |
0.0988723 | + | 0.995100i | \(0.468476\pi\) | |||||||
\(164\) | −54.2692 | + | 74.6952i | −0.330910 | + | 0.455458i | ||||
\(165\) | 15.1329 | + | 4.22680i | 0.0917147 | + | 0.0256170i | ||||
\(166\) | 17.5385 | − | 12.7424i | 0.105653 | − | 0.0767617i | ||||
\(167\) | 23.8290 | + | 46.7671i | 0.142689 | + | 0.280043i | 0.951280 | − | 0.308328i | \(-0.0997695\pi\) |
−0.808591 | + | 0.588371i | \(0.799770\pi\) | |||||||
\(168\) | 11.3373 | + | 11.3373i | 0.0674840 | + | 0.0674840i | ||||
\(169\) | 338.734 | + | 110.061i | 2.00434 | + | 0.651251i | ||||
\(170\) | −14.5288 | + | 125.460i | −0.0854637 | + | 0.738002i | ||||
\(171\) | −38.4097 | − | 118.213i | −0.224618 | − | 0.691303i | ||||
\(172\) | −80.2961 | − | 40.9129i | −0.466838 | − | 0.237866i | ||||
\(173\) | −6.98501 | − | 44.1016i | −0.0403758 | − | 0.254923i | 0.959241 | − | 0.282588i | \(-0.0911928\pi\) |
−0.999617 | + | 0.0276651i | \(0.991193\pi\) | |||||||
\(174\) | − | 12.2529i | − | 0.0704192i | ||||||
\(175\) | 194.502 | + | 164.433i | 1.11144 | + | 0.939617i | ||||
\(176\) | 22.5904 | 0.128355 | ||||||||
\(177\) | −21.7911 | + | 3.45137i | −0.123113 | + | 0.0194993i | ||||
\(178\) | −46.9853 | + | 92.2138i | −0.263962 | + | 0.518055i | ||||
\(179\) | −310.306 | + | 100.824i | −1.73355 | + | 0.563265i | −0.993955 | − | 0.109787i | \(-0.964983\pi\) |
−0.739596 | + | 0.673051i | \(0.764983\pi\) | |||||||
\(180\) | 17.1688 | + | 85.1912i | 0.0953821 | + | 0.473284i | ||||
\(181\) | 25.5973 | − | 78.7805i | 0.141422 | − | 0.435251i | −0.855112 | − | 0.518444i | \(-0.826512\pi\) |
0.996534 | + | 0.0831923i | \(0.0265116\pi\) | |||||||
\(182\) | 233.468 | − | 233.468i | 1.28279 | − | 1.28279i | ||||
\(183\) | 7.06022 | − | 3.59736i | 0.0385804 | − | 0.0196577i | ||||
\(184\) | −43.1457 | − | 59.3849i | −0.234487 | − | 0.322744i | ||||
\(185\) | 60.8105 | − | 48.1880i | 0.328706 | − | 0.260476i | ||||
\(186\) | 22.1239 | + | 16.0740i | 0.118946 | + | 0.0864191i | ||||
\(187\) | 15.7802 | − | 99.6320i | 0.0843859 | − | 0.532791i | ||||
\(188\) | 18.1120 | + | 2.86866i | 0.0963404 | + | 0.0152588i | ||||
\(189\) | 58.9436 | − | 81.1289i | 0.311871 | − | 0.429253i | ||||
\(190\) | 62.8123 | + | 79.2655i | 0.330591 | + | 0.417187i | ||||
\(191\) | 112.018 | − | 81.3859i | 0.586482 | − | 0.426104i | −0.254573 | − | 0.967053i | \(-0.581935\pi\) |
0.841055 | + | 0.540950i | \(0.181935\pi\) | |||||||
\(192\) | −2.02087 | − | 3.96617i | −0.0105253 | − | 0.0206571i | ||||
\(193\) | −14.7833 | − | 14.7833i | −0.0765975 | − | 0.0765975i | 0.667770 | − | 0.744368i | \(-0.267249\pi\) |
−0.744368 | + | 0.667770i | \(0.767249\pi\) | |||||||
\(194\) | −102.626 | − | 33.3451i | −0.528998 | − | 0.171882i | ||||
\(195\) | −62.4991 | + | 12.5956i | −0.320508 | + | 0.0645928i | ||||
\(196\) | −33.8626 | − | 104.218i | −0.172768 | − | 0.531726i | ||||
\(197\) | −5.58697 | − | 2.84670i | −0.0283602 | − | 0.0144503i | 0.439753 | − | 0.898119i | \(-0.355066\pi\) |
−0.468113 | + | 0.883669i | \(0.655066\pi\) | |||||||
\(198\) | −10.8581 | − | 68.5551i | −0.0548387 | − | 0.346238i | ||||
\(199\) | 244.037i | 1.22632i | 0.789961 | + | 0.613158i | \(0.210101\pi\) | ||||
−0.789961 | + | 0.613158i | \(0.789899\pi\) | |||||||
\(200\) | −37.2495 | − | 60.1039i | −0.186248 | − | 0.300519i | ||||
\(201\) | 30.4726 | 0.151605 | ||||||||
\(202\) | −218.169 | + | 34.5546i | −1.08005 | + | 0.171063i | ||||
\(203\) | −72.0197 | + | 141.347i | −0.354777 | + | 0.696288i | ||||
\(204\) | −18.9039 | + | 6.14224i | −0.0926661 | + | 0.0301090i | ||||
\(205\) | −229.288 | − | 26.5526i | −1.11848 | − | 0.129525i | ||||
\(206\) | −70.7057 | + | 217.610i | −0.343232 | + | 1.05636i | ||||
\(207\) | −159.477 | + | 159.477i | −0.770421 | + | 0.770421i | ||||
\(208\) | −81.6750 | + | 41.6155i | −0.392668 | + | 0.200075i | ||||
\(209\) | −47.4791 | − | 65.3493i | −0.227173 | − | 0.312676i | ||||
\(210\) | −10.7831 | + | 38.6058i | −0.0513479 | + | 0.183837i | ||||
\(211\) | −128.663 | − | 93.4793i | −0.609778 | − | 0.443030i | 0.239558 | − | 0.970882i | \(-0.422998\pi\) |
−0.849336 | + | 0.527852i | \(0.822998\pi\) | |||||||
\(212\) | −8.88288 | + | 56.0843i | −0.0419004 | + | 0.264549i | ||||
\(213\) | −42.4886 | − | 6.72953i | −0.199477 | − | 0.0315940i | ||||
\(214\) | 147.595 | − | 203.147i | 0.689695 | − | 0.949284i | ||||
\(215\) | −9.41215 | − | 225.099i | −0.0437774 | − | 1.04697i | ||||
\(216\) | −22.5238 | + | 16.3645i | −0.104277 | + | 0.0757614i | ||||
\(217\) | −160.737 | − | 315.463i | −0.740721 | − | 1.45375i | ||||
\(218\) | −88.8086 | − | 88.8086i | −0.407379 | − | 0.407379i | ||||
\(219\) | 52.3629 | + | 17.0138i | 0.239100 | + | 0.0776884i | ||||
\(220\) | 27.7195 | + | 49.2055i | 0.125998 | + | 0.223661i | ||||
\(221\) | 126.487 | + | 389.286i | 0.572338 | + | 1.76147i | ||||
\(222\) | 10.8799 | + | 5.54359i | 0.0490086 | + | 0.0249711i | ||||
\(223\) | −59.4523 | − | 375.367i | −0.266602 | − | 1.68326i | −0.650203 | − | 0.759761i | \(-0.725316\pi\) |
0.383601 | − | 0.923499i | \(-0.374684\pi\) | |||||||
\(224\) | 57.6308i | 0.257280i | ||||||||
\(225\) | −164.493 | + | 141.930i | −0.731079 | + | 0.630798i | ||||
\(226\) | −33.9350 | −0.150155 | ||||||||
\(227\) | 178.162 | − | 28.2180i | 0.784853 | − | 0.124309i | 0.248870 | − | 0.968537i | \(-0.419941\pi\) |
0.535983 | + | 0.844228i | \(0.319941\pi\) | |||||||
\(228\) | −7.22597 | + | 14.1818i | −0.0316928 | + | 0.0622007i | ||||
\(229\) | 24.3355 | − | 7.90707i | 0.106268 | − | 0.0345287i | −0.255400 | − | 0.966835i | \(-0.582207\pi\) |
0.361669 | + | 0.932307i | \(0.382207\pi\) | |||||||
\(230\) | 76.4080 | − | 166.846i | 0.332209 | − | 0.725417i | ||||
\(231\) | 9.89298 | − | 30.4475i | 0.0428268 | − | 0.131807i | ||||
\(232\) | 31.1426 | − | 31.1426i | 0.134235 | − | 0.134235i | ||||
\(233\) | −244.770 | + | 124.717i | −1.05052 | + | 0.535265i | −0.891974 | − | 0.452088i | \(-0.850679\pi\) |
−0.158542 | + | 0.987352i | \(0.550679\pi\) | |||||||
\(234\) | 165.547 | + | 227.856i | 0.707467 | + | 0.973744i | ||||
\(235\) | 15.9758 | + | 42.9707i | 0.0679823 | + | 0.182854i | ||||
\(236\) | −64.1573 | − | 46.6130i | −0.271853 | − | 0.197513i | ||||
\(237\) | 10.1038 | − | 63.7929i | 0.0426321 | − | 0.269168i | ||||
\(238\) | 254.172 | + | 40.2570i | 1.06795 | + | 0.169147i | ||||
\(239\) | 63.7205 | − | 87.7038i | 0.266613 | − | 0.366962i | −0.654630 | − | 0.755950i | \(-0.727175\pi\) |
0.921243 | + | 0.388988i | \(0.127175\pi\) | |||||||
\(240\) | 6.15925 | − | 9.26843i | 0.0256635 | − | 0.0386184i | ||||
\(241\) | −299.048 | + | 217.271i | −1.24086 | + | 0.901541i | −0.997656 | − | 0.0684333i | \(-0.978200\pi\) |
−0.243209 | + | 0.969974i | \(0.578200\pi\) | |||||||
\(242\) | 57.2086 | + | 112.278i | 0.236399 | + | 0.463959i | ||||
\(243\) | 91.2600 | + | 91.2600i | 0.375556 | + | 0.375556i | ||||
\(244\) | 27.0877 | + | 8.80134i | 0.111015 | + | 0.0360711i | ||||
\(245\) | 185.453 | − | 201.638i | 0.756950 | − | 0.823014i | ||||
\(246\) | −11.2254 | − | 34.5483i | −0.0456318 | − | 0.140440i | ||||
\(247\) | 292.044 | + | 148.804i | 1.18236 | + | 0.602444i | ||||
\(248\) | 15.3768 | + | 97.0853i | 0.0620032 | + | 0.391473i | ||||
\(249\) | 8.52943i | 0.0342547i | ||||||||
\(250\) | 85.2088 | − | 154.885i | 0.340835 | − | 0.619541i | ||||
\(251\) | −20.6897 | −0.0824293 | −0.0412146 | − | 0.999150i | \(-0.513123\pi\) | ||||
−0.0412146 | + | 0.999150i | \(0.513123\pi\) | |||||||
\(252\) | 174.892 | − | 27.7001i | 0.694015 | − | 0.109921i | ||||
\(253\) | −66.5404 | + | 130.593i | −0.263005 | + | 0.516177i | ||||
\(254\) | 41.9898 | − | 13.6433i | 0.165314 | − | 0.0537138i | ||||
\(255\) | −36.5747 | − | 33.6388i | −0.143430 | − | 0.131917i | ||||
\(256\) | 4.94427 | − | 15.2169i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −57.5934 | + | 57.5934i | −0.224099 | + | 0.224099i | −0.810222 | − | 0.586123i | \(-0.800653\pi\) |
0.586123 | + | 0.810222i | \(0.300653\pi\) | |||||||
\(258\) | 31.5922 | − | 16.0970i | 0.122450 | − | 0.0623916i | ||||
\(259\) | −92.9237 | − | 127.899i | −0.358779 | − | 0.493817i | ||||
\(260\) | −190.864 | − | 126.837i | −0.734092 | − | 0.487834i | ||||
\(261\) | −109.477 | − | 79.5396i | −0.419452 | − | 0.304749i | ||||
\(262\) | −28.5040 | + | 179.967i | −0.108794 | + | 0.686898i | ||||
\(263\) | 86.6150 | + | 13.7185i | 0.329335 | + | 0.0521615i | 0.318912 | − | 0.947784i | \(-0.396682\pi\) |
0.0104222 | + | 0.999946i | \(0.496682\pi\) | |||||||
\(264\) | −5.22431 | + | 7.19065i | −0.0197891 | + | 0.0272373i | ||||
\(265\) | −133.060 | + | 49.4696i | −0.502113 | + | 0.186678i | ||||
\(266\) | 166.713 | − | 121.124i | 0.626742 | − | 0.455355i | ||||
\(267\) | −18.4862 | − | 36.2812i | −0.0692367 | − | 0.135885i | ||||
\(268\) | 77.4504 | + | 77.4504i | 0.288994 | + | 0.288994i | ||||
\(269\) | −79.3898 | − | 25.7953i | −0.295129 | − | 0.0958934i | 0.157710 | − | 0.987485i | \(-0.449589\pi\) |
−0.452839 | + | 0.891592i | \(0.649589\pi\) | |||||||
\(270\) | −63.2820 | − | 28.9803i | −0.234378 | − | 0.107335i | ||||
\(271\) | 33.5180 | + | 103.158i | 0.123683 | + | 0.380656i | 0.993659 | − | 0.112438i | \(-0.0358658\pi\) |
−0.869976 | + | 0.493094i | \(0.835866\pi\) | |||||||
\(272\) | −63.6583 | − | 32.4355i | −0.234038 | − | 0.119248i | ||||
\(273\) | 20.3217 | + | 128.306i | 0.0744386 | + | 0.469987i | ||||
\(274\) | − | 43.4346i | − | 0.158520i | ||||||
\(275\) | −73.1643 | + | 120.755i | −0.266052 | + | 0.439108i | ||||
\(276\) | 28.8805 | 0.104639 | ||||||||
\(277\) | −55.6330 | + | 8.81141i | −0.200841 | + | 0.0318101i | −0.256044 | − | 0.966665i | \(-0.582419\pi\) |
0.0552032 | + | 0.998475i | \(0.482419\pi\) | |||||||
\(278\) | 109.626 | − | 215.154i | 0.394340 | − | 0.773935i | ||||
\(279\) | 287.233 | − | 93.3277i | 1.02951 | − | 0.334508i | ||||
\(280\) | −125.529 | + | 70.7155i | −0.448317 | + | 0.252555i | ||||
\(281\) | 98.2119 | − | 302.265i | 0.349509 | − | 1.07568i | −0.609617 | − | 0.792696i | \(-0.708677\pi\) |
0.959126 | − | 0.282981i | \(-0.0913233\pi\) | |||||||
\(282\) | −5.10172 | + | 5.10172i | −0.0180912 | + | 0.0180912i | ||||
\(283\) | 426.824 | − | 217.478i | 1.50821 | − | 0.768472i | 0.512300 | − | 0.858807i | \(-0.328794\pi\) |
0.995911 | + | 0.0903348i | \(0.0287937\pi\) | |||||||
\(284\) | −90.8867 | − | 125.095i | −0.320024 | − | 0.440475i | ||||
\(285\) | −39.7567 | + | 1.66236i | −0.139497 | + | 0.00583283i | ||||
\(286\) | 148.076 | + | 107.584i | 0.517750 | + | 0.376167i | ||||
\(287\) | −73.5727 | + | 464.520i | −0.256351 | + | 1.61854i | ||||
\(288\) | −48.5551 | − | 7.69037i | −0.168594 | − | 0.0267027i | ||||
\(289\) | −17.6497 | + | 24.2927i | −0.0610716 | + | 0.0840579i | ||||
\(290\) | 106.047 | + | 29.6201i | 0.365679 | + | 0.102138i | ||||
\(291\) | 34.3473 | − | 24.9548i | 0.118032 | − | 0.0857553i | ||||
\(292\) | 89.8450 | + | 176.331i | 0.307688 | + | 0.603872i | ||||
\(293\) | 385.350 | + | 385.350i | 1.31519 | + | 1.31519i | 0.917536 | + | 0.397652i | \(0.130175\pi\) |
0.397652 | + | 0.917536i | \(0.369825\pi\) | |||||||
\(294\) | 41.0043 | + | 13.3231i | 0.139470 | + | 0.0453167i | ||||
\(295\) | 22.8066 | − | 196.941i | 0.0773104 | − | 0.667596i | ||||
\(296\) | 13.5630 | + | 41.7426i | 0.0458210 | + | 0.141022i | ||||
\(297\) | 49.5318 | + | 25.2377i | 0.166774 | + | 0.0849754i | ||||
\(298\) | −5.24539 | − | 33.1181i | −0.0176020 | − | 0.111135i | ||||
\(299\) | − | 594.733i | − | 1.98907i | ||||||
\(300\) | 27.7457 | + | 2.04304i | 0.0924858 | + | 0.00681013i | ||||
\(301\) | −459.053 | −1.52509 | ||||||||
\(302\) | −289.548 | + | 45.8599i | −0.958769 | + | 0.151854i | ||||
\(303\) | 39.4554 | − | 77.4356i | 0.130216 | − | 0.255563i | ||||
\(304\) | −54.4108 | + | 17.6791i | −0.178983 | + | 0.0581550i | ||||
\(305\) | 14.0672 | + | 69.8010i | 0.0461218 | + | 0.228856i | ||||
\(306\) | −67.8346 | + | 208.773i | −0.221682 | + | 0.682266i | ||||
\(307\) | 40.8331 | − | 40.8331i | 0.133007 | − | 0.133007i | −0.637469 | − | 0.770476i | \(-0.720019\pi\) |
0.770476 | + | 0.637469i | \(0.220019\pi\) | |||||||
\(308\) | 102.531 | − | 52.2422i | 0.332893 | − | 0.169617i | ||||
\(309\) | −52.9147 | − | 72.8308i | −0.171245 | − | 0.235699i | ||||
\(310\) | −192.599 | + | 152.621i | −0.621287 | + | 0.492326i | ||||
\(311\) | −419.194 | − | 304.562i | −1.34789 | − | 0.979299i | −0.999114 | − | 0.0420933i | \(-0.986597\pi\) |
−0.348776 | − | 0.937206i | \(-0.613403\pi\) | |||||||
\(312\) | 5.64191 | − | 35.6216i | 0.0180831 | − | 0.114172i | ||||
\(313\) | −199.049 | − | 31.5263i | −0.635940 | − | 0.100723i | −0.169864 | − | 0.985468i | \(-0.554333\pi\) |
−0.466076 | + | 0.884745i | \(0.654333\pi\) | |||||||
\(314\) | −30.1823 | + | 41.5424i | −0.0961221 | + | 0.132301i | ||||
\(315\) | 274.935 | + | 346.952i | 0.872809 | + | 1.10144i | ||||
\(316\) | 187.819 | − | 136.458i | 0.594364 | − | 0.431831i | ||||
\(317\) | 215.645 | + | 423.227i | 0.680268 | + | 1.33510i | 0.930277 | + | 0.366857i | \(0.119566\pi\) |
−0.250009 | + | 0.968243i | \(0.580434\pi\) | |||||||
\(318\) | −15.7976 | − | 15.7976i | −0.0496781 | − | 0.0496781i | ||||
\(319\) | −83.6366 | − | 27.1752i | −0.262184 | − | 0.0851886i | ||||
\(320\) | 39.2116 | − | 7.90241i | 0.122536 | − | 0.0246950i | ||||
\(321\) | 30.5295 | + | 93.9603i | 0.0951076 | + | 0.292711i | ||||
\(322\) | −333.157 | − | 169.752i | −1.03465 | − | 0.527180i | ||||
\(323\) | 39.9636 | + | 252.321i | 0.123726 | + | 0.781178i | ||||
\(324\) | 145.473i | 0.448992i | ||||||||
\(325\) | 42.0721 | − | 571.366i | 0.129453 | − | 1.75805i | ||||
\(326\) | −116.790 | −0.358253 | ||||||||
\(327\) | 48.8062 | − | 7.73015i | 0.149255 | − | 0.0236396i | ||||
\(328\) | 59.2784 | − | 116.340i | 0.180727 | − | 0.354697i | ||||
\(329\) | 88.8387 | − | 28.8654i | 0.270026 | − | 0.0877369i | ||||
\(330\) | −22.0728 | − | 2.55613i | −0.0668873 | − | 0.00774583i | ||||
\(331\) | −128.800 | + | 396.407i | −0.389125 | + | 1.19760i | 0.544318 | + | 0.838879i | \(0.316789\pi\) |
−0.933443 | + | 0.358725i | \(0.883211\pi\) | |||||||
\(332\) | −21.6787 | + | 21.6787i | −0.0652974 | + | 0.0652974i | ||||
\(333\) | 120.157 | − | 61.2231i | 0.360832 | − | 0.183853i | ||||
\(334\) | −43.6308 | − | 60.0527i | −0.130631 | − | 0.179798i | ||||
\(335\) | −73.6640 | + | 263.734i | −0.219893 | + | 0.787266i | ||||
\(336\) | −18.3442 | − | 13.3278i | −0.0545957 | − | 0.0396661i | ||||
\(337\) | 33.4503 | − | 211.197i | 0.0992591 | − | 0.626697i | −0.887035 | − | 0.461702i | \(-0.847239\pi\) |
0.986294 | − | 0.164996i | \(-0.0527610\pi\) | |||||||
\(338\) | −497.494 | − | 78.7953i | −1.47188 | − | 0.233122i | ||||
\(339\) | 7.84787 | − | 10.8017i | 0.0231501 | − | 0.0318633i | ||||
\(340\) | −7.46190 | − | 178.457i | −0.0219468 | − | 0.524875i | ||||
\(341\) | 158.786 | − | 115.364i | 0.465647 | − | 0.338312i | ||||
\(342\) | 79.8032 | + | 156.623i | 0.233343 | + | 0.457961i | ||||
\(343\) | −41.7160 | − | 41.7160i | −0.121621 | − | 0.121621i | ||||
\(344\) | 121.209 | + | 39.3832i | 0.352352 | + | 0.114486i | ||||
\(345\) | 35.4376 | + | 62.9062i | 0.102718 | + | 0.182337i | ||||
\(346\) | 19.5133 | + | 60.0559i | 0.0563970 | + | 0.173572i | ||||
\(347\) | −113.136 | − | 57.6455i | −0.326039 | − | 0.166125i | 0.283307 | − | 0.959029i | \(-0.408568\pi\) |
−0.609347 | + | 0.792904i | \(0.708568\pi\) | |||||||
\(348\) | 2.71074 | + | 17.1149i | 0.00778949 | + | 0.0491809i | ||||
\(349\) | − | 117.679i | − | 0.337189i | −0.985686 | − | 0.168594i | \(-0.946077\pi\) | ||
0.985686 | − | 0.168594i | \(-0.0539228\pi\) | |||||||
\(350\) | −308.059 | − | 186.650i | −0.880168 | − | 0.533287i | ||||
\(351\) | −225.573 | −0.642657 | ||||||||
\(352\) | −31.5544 | + | 4.99772i | −0.0896432 | + | 0.0141981i | ||||
\(353\) | −24.8731 | + | 48.8161i | −0.0704619 | + | 0.138289i | −0.923551 | − | 0.383477i | \(-0.874727\pi\) |
0.853089 | + | 0.521766i | \(0.174727\pi\) | |||||||
\(354\) | 29.6743 | − | 9.64176i | 0.0838256 | − | 0.0272366i | ||||
\(355\) | 160.954 | − | 351.462i | 0.453392 | − | 0.990035i | ||||
\(356\) | 45.2285 | − | 139.199i | 0.127046 | − | 0.391009i | ||||
\(357\) | −71.5944 | + | 71.5944i | −0.200545 | + | 0.200545i | ||||
\(358\) | 411.130 | − | 209.481i | 1.14841 | − | 0.585143i | ||||
\(359\) | 269.868 | + | 371.442i | 0.751723 | + | 1.03466i | 0.997858 | + | 0.0654220i | \(0.0208394\pi\) |
−0.246135 | + | 0.969236i | \(0.579161\pi\) | |||||||
\(360\) | −42.8284 | − | 115.197i | −0.118968 | − | 0.319992i | ||||
\(361\) | −126.556 | − | 91.9485i | −0.350571 | − | 0.254705i | ||||
\(362\) | −18.3257 | + | 115.704i | −0.0506234 | + | 0.319624i | ||||
\(363\) | −48.9689 | − | 7.75591i | −0.134900 | − | 0.0213661i | ||||
\(364\) | −274.458 | + | 377.760i | −0.754007 | + | 1.03780i | ||||
\(365\) | −273.832 | + | 412.062i | −0.750225 | + | 1.12894i | ||||
\(366\) | −9.06588 | + | 6.58674i | −0.0247702 | + | 0.0179966i | ||||
\(367\) | −254.971 | − | 500.410i | −0.694745 | − | 1.36351i | −0.921045 | − | 0.389456i | \(-0.872663\pi\) |
0.226300 | − | 0.974058i | \(-0.427337\pi\) | |||||||
\(368\) | 73.4038 | + | 73.4038i | 0.199467 | + | 0.199467i | ||||
\(369\) | −381.550 | − | 123.973i | −1.03401 | − | 0.335970i | ||||
\(370\) | −74.2796 | + | 80.7624i | −0.200756 | + | 0.218277i | ||||
\(371\) | 89.3826 | + | 275.091i | 0.240924 | + | 0.741486i | ||||
\(372\) | −34.4588 | − | 17.5576i | −0.0926311 | − | 0.0471979i | ||||
\(373\) | −29.4686 | − | 186.058i | −0.0790044 | − | 0.498814i | −0.995182 | − | 0.0980422i | \(-0.968742\pi\) |
0.916178 | − | 0.400772i | \(-0.131258\pi\) | |||||||
\(374\) | 142.657i | 0.381437i | ||||||||
\(375\) | 29.5952 | + | 62.9415i | 0.0789205 | + | 0.167844i | ||||
\(376\) | −25.9335 | −0.0689721 | ||||||||
\(377\) | 352.447 | − | 55.8220i | 0.934871 | − | 0.148069i | ||||
\(378\) | −64.3842 | + | 126.361i | −0.170329 | + | 0.334289i | ||||
\(379\) | −22.7930 | + | 7.40589i | −0.0601398 | + | 0.0195406i | −0.338932 | − | 0.940811i | \(-0.610066\pi\) |
0.278793 | + | 0.960351i | \(0.410066\pi\) | |||||||
\(380\) | −105.272 | − | 96.8221i | −0.277032 | − | 0.254795i | ||||
\(381\) | −5.36791 | + | 16.5207i | −0.0140890 | + | 0.0433615i | ||||
\(382\) | −138.462 | + | 138.462i | −0.362466 | + | 0.362466i | ||||
\(383\) | −14.2210 | + | 7.24595i | −0.0371305 | + | 0.0189189i | −0.472457 | − | 0.881354i | \(-0.656633\pi\) |
0.435327 | + | 0.900273i | \(0.356633\pi\) | |||||||
\(384\) | 3.70019 | + | 5.09288i | 0.00963592 | + | 0.0132627i | ||||
\(385\) | 239.602 | + | 159.225i | 0.622342 | + | 0.413572i | ||||
\(386\) | 23.9199 | + | 17.3788i | 0.0619687 | + | 0.0450229i | ||||
\(387\) | 61.2570 | − | 386.761i | 0.158287 | − | 0.999383i | ||||
\(388\) | 150.725 | + | 23.8724i | 0.388466 | + | 0.0615269i | ||||
\(389\) | 143.389 | − | 197.358i | 0.368610 | − | 0.507348i | −0.583913 | − | 0.811817i | \(-0.698479\pi\) |
0.952522 | + | 0.304469i | \(0.0984789\pi\) | |||||||
\(390\) | 84.5124 | − | 31.4204i | 0.216698 | − | 0.0805650i | ||||
\(391\) | 375.012 | − | 272.462i | 0.959110 | − | 0.696834i | ||||
\(392\) | 70.3557 | + | 138.081i | 0.179479 | + | 0.352247i | ||||
\(393\) | −50.6926 | − | 50.6926i | −0.128989 | − | 0.128989i | ||||
\(394\) | 8.43367 | + | 2.74026i | 0.0214052 | + | 0.00695499i | ||||
\(395\) | 527.690 | + | 241.658i | 1.33592 | + | 0.611794i | ||||
\(396\) | 30.3331 | + | 93.3557i | 0.0765988 | + | 0.235747i | ||||
\(397\) | 191.548 | + | 97.5985i | 0.482488 | + | 0.245840i | 0.678277 | − | 0.734806i | \(-0.262727\pi\) |
−0.195789 | + | 0.980646i | \(0.562727\pi\) | |||||||
\(398\) | −53.9887 | − | 340.871i | −0.135650 | − | 0.856460i | ||||
\(399\) | 81.0772i | 0.203201i | ||||||||
\(400\) | 65.3271 | + | 75.7124i | 0.163318 | + | 0.189281i | ||||
\(401\) | 517.832 | 1.29135 | 0.645676 | − | 0.763612i | \(-0.276576\pi\) | ||||
0.645676 | + | 0.763612i | \(0.276576\pi\) | |||||||
\(402\) | −42.5642 | + | 6.74150i | −0.105881 | + | 0.0167699i | ||||
\(403\) | −361.563 | + | 709.607i | −0.897178 | + | 1.76081i | ||||
\(404\) | 297.095 | − | 96.5320i | 0.735384 | − | 0.238941i | ||||
\(405\) | −316.864 | + | 178.502i | −0.782379 | + | 0.440746i | ||||
\(406\) | 69.3269 | − | 213.366i | 0.170756 | − | 0.525533i | ||||
\(407\) | 61.9696 | − | 61.9696i | 0.152259 | − | 0.152259i | ||||
\(408\) | 25.0461 | − | 12.7616i | 0.0613876 | − | 0.0312785i | ||||
\(409\) | −111.733 | − | 153.787i | −0.273186 | − | 0.376008i | 0.650276 | − | 0.759698i | \(-0.274653\pi\) |
−0.923462 | + | 0.383690i | \(0.874653\pi\) | |||||||
\(410\) | 326.145 | − | 13.6372i | 0.795476 | − | 0.0332615i | ||||
\(411\) | 13.8254 | + | 10.0448i | 0.0336386 | + | 0.0244398i | ||||
\(412\) | 50.6197 | − | 319.600i | 0.122863 | − | 0.775729i | ||||
\(413\) | −398.986 | − | 63.1932i | −0.966068 | − | 0.153010i | ||||
\(414\) | 187.477 | − | 258.039i | 0.452842 | − | 0.623284i | ||||
\(415\) | −73.8205 | − | 20.6189i | −0.177881 | − | 0.0496841i | ||||
\(416\) | 104.877 | − | 76.1977i | 0.252109 | − | 0.183168i | ||||
\(417\) | 43.1321 | + | 84.6516i | 0.103434 | + | 0.203001i | ||||
\(418\) | 80.7762 | + | 80.7762i | 0.193245 | + | 0.193245i | ||||
\(419\) | −101.900 | − | 33.1094i | −0.243199 | − | 0.0790200i | 0.184882 | − | 0.982761i | \(-0.440810\pi\) |
−0.428080 | + | 0.903741i | \(0.640810\pi\) | |||||||
\(420\) | 6.52096 | − | 56.3102i | 0.0155261 | − | 0.134072i | ||||
\(421\) | 113.217 | + | 348.447i | 0.268925 | + | 0.827666i | 0.990763 | + | 0.135604i | \(0.0432975\pi\) |
−0.721838 | + | 0.692062i | \(0.756703\pi\) | |||||||
\(422\) | 200.398 | + | 102.108i | 0.474876 | + | 0.241961i | ||||
\(423\) | 12.4649 | + | 78.7002i | 0.0294678 | + | 0.186053i | ||||
\(424\) | − | 80.3039i | − | 0.189396i | ||||||
\(425\) | 379.552 | − | 235.228i | 0.893064 | − | 0.553478i | ||||
\(426\) | 60.8369 | 0.142810 | ||||||||
\(427\) | 143.297 | − | 22.6960i | 0.335589 | − | 0.0531521i | ||||
\(428\) | −161.218 | + | 316.409i | −0.376678 | + | 0.739272i | ||||
\(429\) | −68.4889 | + | 22.2534i | −0.159648 | + | 0.0518727i | ||||
\(430\) | 62.9460 | + | 312.337i | 0.146386 | + | 0.726365i | ||||
\(431\) | 28.4314 | − | 87.5029i | 0.0659662 | − | 0.203023i | −0.912640 | − | 0.408763i | \(-0.865960\pi\) |
0.978607 | + | 0.205740i | \(0.0659602\pi\) | |||||||
\(432\) | 27.8409 | − | 27.8409i | 0.0644465 | − | 0.0644465i | ||||
\(433\) | −38.7505 | + | 19.7444i | −0.0894932 | + | 0.0455990i | −0.498164 | − | 0.867083i | \(-0.665992\pi\) |
0.408671 | + | 0.912682i | \(0.365992\pi\) | |||||||
\(434\) | 294.308 | + | 405.080i | 0.678128 | + | 0.933363i | ||||
\(435\) | −33.9528 | + | 26.9052i | −0.0780525 | + | 0.0618510i | ||||
\(436\) | 143.695 | + | 104.401i | 0.329576 | + | 0.239451i | ||||
\(437\) | 58.0664 | − | 366.617i | 0.132875 | − | 0.838940i | ||||
\(438\) | −76.9047 | − | 12.1805i | −0.175581 | − | 0.0278094i | ||||
\(439\) | −452.403 | + | 622.679i | −1.03053 | + | 1.41840i | −0.125982 | + | 0.992033i | \(0.540208\pi\) |
−0.904548 | + | 0.426371i | \(0.859792\pi\) | |||||||
\(440\) | −49.6044 | − | 62.5980i | −0.112737 | − | 0.142268i | ||||
\(441\) | 385.217 | − | 279.876i | 0.873507 | − | 0.634640i | ||||
\(442\) | −262.799 | − | 515.773i | −0.594569 | − | 1.16691i | ||||
\(443\) | −479.183 | − | 479.183i | −1.08168 | − | 1.08168i | −0.996353 | − | 0.0853248i | \(-0.972807\pi\) |
−0.0853248 | − | 0.996353i | \(-0.527193\pi\) | |||||||
\(444\) | −16.4235 | − | 5.33632i | −0.0369898 | − | 0.0120187i | ||||
\(445\) | 358.695 | − | 72.2886i | 0.806056 | − | 0.162446i | ||||
\(446\) | 166.086 | + | 511.161i | 0.372390 | + | 1.14610i | ||||
\(447\) | 11.7547 | + | 5.98932i | 0.0262969 | + | 0.0133989i | ||||
\(448\) | −12.7498 | − | 80.4988i | −0.0284593 | − | 0.179685i | ||||
\(449\) | 889.585i | 1.98126i | 0.136578 | + | 0.990629i | \(0.456390\pi\) | ||||
−0.136578 | + | 0.990629i | \(0.543610\pi\) | |||||||
\(450\) | 198.365 | − | 234.639i | 0.440810 | − | 0.521419i | ||||
\(451\) | −260.717 | −0.578087 | ||||||||
\(452\) | 47.4004 | − | 7.50749i | 0.104868 | − | 0.0166095i | ||||
\(453\) | 52.3641 | − | 102.770i | 0.115594 | − | 0.226866i | ||||
\(454\) | −242.614 | + | 78.8300i | −0.534392 | + | 0.173634i | ||||
\(455\) | −1159.59 | − | 134.286i | −2.54855 | − | 0.295133i | ||||
\(456\) | 6.95579 | − | 21.4077i | 0.0152539 | − | 0.0469468i | ||||
\(457\) | 46.1201 | − | 46.1201i | 0.100919 | − | 0.100919i | −0.654844 | − | 0.755764i | \(-0.727266\pi\) |
0.755764 | + | 0.654844i | \(0.227266\pi\) | |||||||
\(458\) | −32.2425 | + | 16.4284i | −0.0703985 | + | 0.0358698i | ||||
\(459\) | −103.341 | − | 142.236i | −0.225143 | − | 0.309883i | ||||
\(460\) | −69.8153 | + | 249.955i | −0.151772 | + | 0.543380i | ||||
\(461\) | −625.212 | − | 454.243i | −1.35621 | − | 0.985343i | −0.998676 | − | 0.0514415i | \(-0.983618\pi\) |
−0.357532 | − | 0.933901i | \(-0.616382\pi\) | |||||||
\(462\) | −7.08259 | + | 44.7177i | −0.0153303 | + | 0.0967916i | ||||
\(463\) | −449.918 | − | 71.2599i | −0.971744 | − | 0.153909i | −0.349675 | − | 0.936871i | \(-0.613708\pi\) |
−0.622069 | + | 0.782962i | \(0.713708\pi\) | |||||||
\(464\) | −36.6103 | + | 50.3898i | −0.0789016 | + | 0.108599i | ||||
\(465\) | −4.03919 | − | 96.6006i | −0.00868643 | − | 0.207743i | ||||
\(466\) | 314.304 | − | 228.355i | 0.674473 | − | 0.490033i | ||||
\(467\) | −158.701 | − | 311.468i | −0.339830 | − | 0.666955i | 0.656333 | − | 0.754472i | \(-0.272107\pi\) |
−0.996163 | + | 0.0875169i | \(0.972107\pi\) | |||||||
\(468\) | −281.646 | − | 281.646i | −0.601807 | − | 0.601807i | ||||
\(469\) | 530.633 | + | 172.413i | 1.13141 | + | 0.367619i | ||||
\(470\) | −31.8216 | − | 56.4872i | −0.0677055 | − | 0.120186i | ||||
\(471\) | −6.24313 | − | 19.2144i | −0.0132551 | − | 0.0407949i | ||||
\(472\) | 99.9273 | + | 50.9155i | 0.211710 | + | 0.107872i | ||||
\(473\) | −39.8090 | − | 251.344i | −0.0841627 | − | 0.531382i | ||||
\(474\) | 91.3413i | 0.192703i | ||||||||
\(475\) | 81.7198 | − | 348.105i | 0.172042 | − | 0.732852i | ||||
\(476\) | −363.935 | −0.764569 | ||||||||
\(477\) | −243.698 | + | 38.5979i | −0.510896 | + | 0.0809180i | ||||
\(478\) | −69.6021 | + | 136.602i | −0.145611 | + | 0.285778i | ||||
\(479\) | 49.6354 | − | 16.1275i | 0.103623 | − | 0.0336692i | −0.256747 | − | 0.966479i | \(-0.582651\pi\) |
0.360370 | + | 0.932810i | \(0.382651\pi\) | |||||||
\(480\) | −6.55278 | + | 14.3088i | −0.0136516 | + | 0.0298100i | ||||
\(481\) | −109.890 | + | 338.207i | −0.228462 | + | 0.703134i | ||||
\(482\) | 369.644 | − | 369.644i | 0.766896 | − | 0.766896i | ||||
\(483\) | 131.079 | − | 66.7883i | 0.271386 | − | 0.138278i | ||||
\(484\) | −104.749 | − | 144.174i | −0.216423 | − | 0.297880i | ||||
\(485\) | 132.948 | + | 357.594i | 0.274119 | + | 0.737308i | ||||
\(486\) | −147.662 | − | 107.283i | −0.303831 | − | 0.220746i | ||||
\(487\) | −93.1133 | + | 587.894i | −0.191198 | + | 1.20718i | 0.686200 | + | 0.727413i | \(0.259277\pi\) |
−0.877398 | + | 0.479763i | \(0.840723\pi\) | |||||||
\(488\) | −39.7834 | − | 6.30106i | −0.0815233 | − | 0.0129120i | ||||
\(489\) | 27.0092 | − | 37.1750i | 0.0552335 | − | 0.0760224i | ||||
\(490\) | −214.432 | + | 322.677i | −0.437617 | + | 0.658524i | ||||
\(491\) | −109.988 | + | 79.9113i | −0.224009 | + | 0.162752i | −0.694129 | − | 0.719850i | \(-0.744210\pi\) |
0.470120 | + | 0.882602i | \(0.344210\pi\) | |||||||
\(492\) | 23.3229 | + | 45.7737i | 0.0474042 | + | 0.0930361i | ||||
\(493\) | 196.664 | + | 196.664i | 0.398912 | + | 0.398912i | ||||
\(494\) | −440.847 | − | 143.240i | −0.892404 | − | 0.289960i | ||||
\(495\) | −166.123 | + | 180.622i | −0.335603 | + | 0.364893i | ||||
\(496\) | −42.9567 | − | 132.207i | −0.0866062 | − | 0.266547i | ||||
\(497\) | −701.798 | − | 357.584i | −1.41207 | − | 0.719485i | ||||
\(498\) | −1.88698 | − | 11.9139i | −0.00378912 | − | 0.0239235i | ||||
\(499\) | − | 483.808i | − | 0.969555i | −0.874637 | − | 0.484778i | \(-0.838901\pi\) | ||
0.874637 | − | 0.484778i | \(-0.161099\pi\) | |||||||
\(500\) | −84.7543 | + | 235.195i | −0.169509 | + | 0.470390i | ||||
\(501\) | 29.2052 | 0.0582938 | ||||||||
\(502\) | 28.8995 | − | 4.57723i | 0.0575687 | − | 0.00911799i | ||||
\(503\) | −141.234 | + | 277.188i | −0.280784 | + | 0.551070i | −0.987725 | − | 0.156203i | \(-0.950075\pi\) |
0.706941 | + | 0.707273i | \(0.250075\pi\) | |||||||
\(504\) | −238.161 | + | 77.3832i | −0.472542 | + | 0.153538i | ||||
\(505\) | 574.810 | + | 528.670i | 1.13824 | + | 1.04687i | ||||
\(506\) | 64.0525 | − | 197.133i | 0.126586 | − | 0.389591i | ||||
\(507\) | 140.132 | − | 140.132i | 0.276395 | − | 0.276395i | ||||
\(508\) | −55.6331 | + | 28.3465i | −0.109514 | + | 0.0558001i | ||||
\(509\) | −177.828 | − | 244.759i | −0.349367 | − | 0.480862i | 0.597781 | − | 0.801659i | \(-0.296049\pi\) |
−0.947148 | + | 0.320797i | \(0.896049\pi\) | |||||||
\(510\) | 58.5295 | + | 38.8953i | 0.114764 | + | 0.0762652i | ||||
\(511\) | 815.557 | + | 592.537i | 1.59600 | + | 1.15956i | ||||
\(512\) | −3.53971 | + | 22.3488i | −0.00691349 | + | 0.0436501i | ||||
\(513\) | −139.052 | − | 22.0237i | −0.271056 | − | 0.0429311i | ||||
\(514\) | 67.7051 | − | 93.1881i | 0.131722 | − | 0.181300i | ||||
\(515\) | 758.252 | − | 281.906i | 1.47233 | − | 0.547390i | ||||
\(516\) | −40.5669 | + | 29.4736i | −0.0786180 | + | 0.0571193i | ||||
\(517\) | 23.5087 | + | 46.1384i | 0.0454713 | + | 0.0892425i | ||||
\(518\) | 158.091 | + | 158.091i | 0.305196 | + | 0.305196i | ||||
\(519\) | −23.6288 | − | 7.67746i | −0.0455275 | − | 0.0147928i | ||||
\(520\) | 294.659 | + | 134.941i | 0.566653 | + | 0.259502i | ||||
\(521\) | −114.065 | − | 351.056i | −0.218935 | − | 0.673813i | −0.998851 | − | 0.0479282i | \(-0.984738\pi\) |
0.779916 | − | 0.625885i | \(-0.215262\pi\) | |||||||
\(522\) | 170.514 | + | 86.8813i | 0.326656 | + | 0.166439i | ||||
\(523\) | 47.6107 | + | 300.602i | 0.0910338 | + | 0.574765i | 0.990472 | + | 0.137716i | \(0.0439762\pi\) |
−0.899438 | + | 0.437049i | \(0.856024\pi\) | |||||||
\(524\) | − | 257.685i | − | 0.491765i | ||||||
\(525\) | 130.654 | − | 54.8915i | 0.248865 | − | 0.104555i | ||||
\(526\) | −124.019 | −0.235777 | ||||||||
\(527\) | −613.087 | + | 97.1035i | −1.16335 | + | 0.184257i | ||||
\(528\) | 5.70653 | − | 11.1997i | 0.0108078 | − | 0.0212116i | ||||
\(529\) | −137.442 | + | 44.6576i | −0.259815 | + | 0.0844189i | ||||
\(530\) | 174.914 | − | 98.5364i | 0.330027 | − | 0.185918i | ||||
\(531\) | 106.483 | − | 327.721i | 0.200533 | − | 0.617177i | ||||
\(532\) | −206.069 | + | 206.069i | −0.387348 | + | 0.387348i | ||||
\(533\) | 942.615 | − | 480.286i | 1.76851 | − | 0.901100i | ||||
\(534\) | 33.8481 | + | 46.5879i | 0.0633860 | + | 0.0872433i | ||||
\(535\) | −887.009 | + | 37.0888i | −1.65796 | + | 0.0693248i | ||||
\(536\) | −125.317 | − | 91.0484i | −0.233801 | − | 0.169866i | ||||
\(537\) | −28.3999 | + | 179.310i | −0.0528862 | + | 0.333910i | ||||
\(538\) | 116.599 | + | 18.4674i | 0.216726 | + | 0.0343260i | ||||
\(539\) | 181.883 | − | 250.340i | 0.337445 | − | 0.464453i | ||||
\(540\) | 94.8038 | + | 26.4798i | 0.175563 | + | 0.0490367i | ||||
\(541\) | 724.924 | − | 526.688i | 1.33997 | − | 0.973545i | 0.340525 | − | 0.940235i | \(-0.389395\pi\) |
0.999445 | − | 0.0333098i | \(-0.0106048\pi\) | |||||||
\(542\) | −69.6399 | − | 136.676i | −0.128487 | − | 0.252170i | ||||
\(543\) | −32.5910 | − | 32.5910i | −0.0600203 | − | 0.0600203i | ||||
\(544\) | 96.0938 | + | 31.2228i | 0.176643 | + | 0.0573948i | ||||
\(545\) | −51.0807 | + | 441.095i | −0.0937260 | + | 0.809349i | ||||
\(546\) | −56.7709 | − | 174.723i | −0.103976 | − | 0.320005i | ||||
\(547\) | 524.755 | + | 267.376i | 0.959333 | + | 0.488804i | 0.862256 | − | 0.506473i | \(-0.169051\pi\) |
0.0970765 | + | 0.995277i | \(0.469051\pi\) | |||||||
\(548\) | 9.60912 | + | 60.6696i | 0.0175349 | + | 0.110711i | ||||
\(549\) | 123.759i | 0.225426i | ||||||||
\(550\) | 75.4813 | − | 184.857i | 0.137239 | − | 0.336103i | ||||
\(551\) | 222.712 | 0.404196 | ||||||||
\(552\) | −40.3403 | + | 6.38928i | −0.0730803 | + | 0.0115748i | ||||
\(553\) | 536.881 | − | 1053.69i | 0.970852 | − | 1.90540i | ||||
\(554\) | 75.7590 | − | 24.6156i | 0.136749 | − | 0.0444325i | ||||
\(555\) | −8.52902 | − | 42.3208i | −0.0153676 | − | 0.0762537i | ||||
\(556\) | −105.528 | + | 324.781i | −0.189798 | + | 0.584138i | ||||
\(557\) | −136.133 | + | 136.133i | −0.244404 | + | 0.244404i | −0.818669 | − | 0.574265i | \(-0.805288\pi\) |
0.574265 | + | 0.818669i | \(0.305288\pi\) | |||||||
\(558\) | −380.561 | + | 193.905i | −0.682009 | + | 0.347501i | ||||
\(559\) | 606.947 | + | 835.390i | 1.08577 | + | 1.49444i | ||||
\(560\) | 159.694 | − | 126.547i | 0.285169 | − | 0.225976i | ||||
\(561\) | −45.4085 | − | 32.9912i | −0.0809421 | − | 0.0588079i | ||||
\(562\) | −70.3120 | + | 443.932i | −0.125110 | + | 0.789915i | ||||
\(563\) | 931.083 | + | 147.469i | 1.65379 | + | 0.261934i | 0.912448 | − | 0.409194i | \(-0.134190\pi\) |
0.741341 | + | 0.671128i | \(0.234190\pi\) | |||||||
\(564\) | 5.99744 | − | 8.25476i | 0.0106338 | − | 0.0146361i | ||||
\(565\) | 74.5149 | + | 94.0335i | 0.131885 | + | 0.166431i | ||||
\(566\) | −548.075 | + | 398.200i | −0.968331 | + | 0.703534i | ||||
\(567\) | 336.418 | + | 660.258i | 0.593330 | + | 1.16448i | ||||
\(568\) | 154.626 | + | 154.626i | 0.272228 | + | 0.272228i | ||||
\(569\) | −333.782 | − | 108.452i | −0.586611 | − | 0.190602i | 0.000648813 | − | 1.00000i | \(-0.499793\pi\) |
−0.587260 | + | 0.809398i | \(0.699793\pi\) | |||||||
\(570\) | 55.1644 | − | 11.1174i | 0.0967797 | − | 0.0195042i | ||||
\(571\) | 136.304 | + | 419.502i | 0.238712 | + | 0.734679i | 0.996607 | + | 0.0823034i | \(0.0262277\pi\) |
−0.757896 | + | 0.652376i | \(0.773772\pi\) | |||||||
\(572\) | −230.634 | − | 117.514i | −0.403207 | − | 0.205444i | ||||
\(573\) | −12.0521 | − | 76.0941i | −0.0210334 | − | 0.132799i | ||||
\(574\) | − | 665.119i | − | 1.15874i | ||||||
\(575\) | −630.107 | + | 154.637i | −1.09584 | + | 0.268934i | ||||
\(576\) | 69.5232 | 0.120700 | ||||||||
\(577\) | 86.6592 | − | 13.7255i | 0.150189 | − | 0.0237876i | −0.0808870 | − | 0.996723i | \(-0.525775\pi\) |
0.231076 | + | 0.972936i | \(0.425775\pi\) | |||||||
\(578\) | 19.2788 | − | 37.8368i | 0.0333544 | − | 0.0654616i | ||||
\(579\) | −11.0635 | + | 3.59476i | −0.0191080 | + | 0.00620857i | ||||
\(580\) | −154.679 | − | 17.9125i | −0.266688 | − | 0.0308836i | ||||
\(581\) | −48.2593 | + | 148.527i | −0.0830625 | + | 0.255640i | ||||
\(582\) | −42.4556 | + | 42.4556i | −0.0729478 | + | 0.0729478i | ||||
\(583\) | −142.869 | + | 72.7953i | −0.245058 | + | 0.124863i | ||||
\(584\) | −164.506 | − | 226.423i | −0.281688 | − | 0.387710i | ||||
\(585\) | 267.877 | − | 959.060i | 0.457909 | − | 1.63942i | ||||
\(586\) | −623.510 | − | 453.006i | −1.06401 | − | 0.773048i | ||||
\(587\) | 106.732 | − | 673.879i | 0.181826 | − | 1.14801i | −0.712859 | − | 0.701308i | \(-0.752600\pi\) |
0.894685 | − | 0.446698i | \(-0.147400\pi\) | |||||||
\(588\) | −60.2224 | − | 9.53829i | −0.102419 | − | 0.0162216i | ||||
\(589\) | −292.163 | + | 402.128i | −0.496033 | + | 0.682731i | ||||
\(590\) | 11.7133 | + | 280.133i | 0.0198530 | + | 0.474801i | ||||
\(591\) | −2.82263 | + | 2.05076i | −0.00477602 | + | 0.00346998i | ||||
\(592\) | −28.1796 | − | 55.3056i | −0.0476007 | − | 0.0934217i | ||||
\(593\) | 526.775 | + | 526.775i | 0.888322 | + | 0.888322i | 0.994362 | − | 0.106039i | \(-0.0338170\pi\) |
−0.106039 | + | 0.994362i | \(0.533817\pi\) | |||||||
\(594\) | −74.7695 | − | 24.2941i | −0.125875 | − | 0.0408991i | ||||
\(595\) | −446.564 | − | 792.706i | −0.750527 | − | 1.33228i | ||||
\(596\) | 14.6535 | + | 45.0990i | 0.0245865 | + | 0.0756694i | ||||
\(597\) | 120.986 | + | 61.6457i | 0.202657 | + | 0.103259i | ||||
\(598\) | 131.574 | + | 830.724i | 0.220023 | + | 1.38917i | ||||
\(599\) | − | 586.777i | − | 0.979594i | −0.871836 | − | 0.489797i | \(-0.837071\pi\) | ||
0.871836 | − | 0.489797i | \(-0.162929\pi\) | |||||||
\(600\) | −39.2073 | + | 3.28452i | −0.0653455 | + | 0.00547420i | ||||
\(601\) | −664.202 | −1.10516 | −0.552581 | − | 0.833459i | \(-0.686357\pi\) | ||||
−0.552581 | + | 0.833459i | \(0.686357\pi\) | |||||||
\(602\) | 641.206 | − | 101.557i | 1.06513 | − | 0.168700i | ||||
\(603\) | −216.070 | + | 424.062i | −0.358326 | + | 0.703254i | ||||
\(604\) | 394.296 | − | 128.114i | 0.652808 | − | 0.212110i | ||||
\(605\) | 185.502 | − | 405.067i | 0.306616 | − | 0.669532i | ||||
\(606\) | −37.9802 | + | 116.891i | −0.0626736 | + | 0.192889i | ||||
\(607\) | −90.2350 | + | 90.2350i | −0.148657 | + | 0.148657i | −0.777518 | − | 0.628861i | \(-0.783522\pi\) |
0.628861 | + | 0.777518i | \(0.283522\pi\) | |||||||
\(608\) | 72.0899 | − | 36.7316i | 0.118569 | − | 0.0604139i | ||||
\(609\) | 51.8828 | + | 71.4106i | 0.0851935 | + | 0.117259i | ||||
\(610\) | −35.0912 | − | 94.3860i | −0.0575266 | − | 0.154731i | ||||
\(611\) | −169.990 | − | 123.505i | −0.278215 | − | 0.202135i | ||||
\(612\) | 48.5642 | − | 306.622i | 0.0793533 | − | 0.501017i | ||||
\(613\) | −773.095 | − | 122.446i | −1.26117 | − | 0.199749i | −0.510180 | − | 0.860067i | \(-0.670421\pi\) |
−0.750986 | + | 0.660318i | \(0.770421\pi\) | |||||||
\(614\) | −48.0021 | + | 66.0693i | −0.0781794 | + | 0.107605i | ||||
\(615\) | −71.0842 | + | 106.967i | −0.115584 | + | 0.173931i | ||||
\(616\) | −131.658 | + | 95.6551i | −0.213730 | + | 0.155284i | ||||
\(617\) | 305.103 | + | 598.799i | 0.494495 | + | 0.970500i | 0.994526 | + | 0.104493i | \(0.0333219\pi\) |
−0.500031 | + | 0.866008i | \(0.666678\pi\) | |||||||
\(618\) | 90.0239 | + | 90.0239i | 0.145670 | + | 0.145670i | ||||
\(619\) | 318.118 | + | 103.363i | 0.513922 | + | 0.166983i | 0.554485 | − | 0.832194i | \(-0.312915\pi\) |
−0.0405633 | + | 0.999177i | \(0.512915\pi\) | |||||||
\(620\) | 235.258 | − | 255.790i | 0.379448 | − | 0.412565i | ||||
\(621\) | 78.9395 | + | 242.951i | 0.127117 | + | 0.391225i | ||||
\(622\) | 652.910 | + | 332.674i | 1.04969 | + | 0.534846i | ||||
\(623\) | −116.630 | − | 736.376i | −0.187208 | − | 1.18198i | ||||
\(624\) | 51.0046i | 0.0817381i | ||||||||
\(625\) | −616.289 | + | 103.987i | −0.986062 | + | 0.166379i | ||||
\(626\) | 285.007 | 0.455283 | ||||||||
\(627\) | −44.3919 | + | 7.03099i | −0.0708005 | + | 0.0112137i | ||||
\(628\) | 32.9683 | − | 64.7039i | 0.0524972 | − | 0.103032i | ||||
\(629\) | −263.602 | + | 85.6495i | −0.419081 | + | 0.136168i | ||||
\(630\) | −460.787 | − | 423.799i | −0.731407 | − | 0.672697i | ||||
\(631\) | 27.3879 | − | 84.2913i | 0.0434040 | − | 0.133584i | −0.927006 | − | 0.375046i | \(-0.877627\pi\) |
0.970410 | + | 0.241462i | \(0.0776270\pi\) | |||||||
\(632\) | −232.157 | + | 232.157i | −0.367337 | + | 0.367337i | ||||
\(633\) | −78.8458 | + | 40.1739i | −0.124559 | + | 0.0634659i | ||||
\(634\) | −394.845 | − | 543.457i | −0.622783 | − | 0.857188i | ||||
\(635\) | −130.007 | − | 86.3951i | −0.204736 | − | 0.136055i | ||||
\(636\) | 25.5611 | + | 18.5712i | 0.0401904 | + | 0.0292000i | ||||
\(637\) | −196.421 | + | 1240.15i | −0.308354 | + | 1.94687i | ||||
\(638\) | 122.836 | + | 19.4553i | 0.192533 | + | 0.0304942i | ||||
\(639\) | 394.921 | − | 543.562i | 0.618030 | − | 0.850645i | ||||
\(640\) | −53.0226 | + | 19.7130i | −0.0828479 | + | 0.0308015i | ||||
\(641\) | −763.194 | + | 554.493i | −1.19063 | + | 0.865044i | −0.993331 | − | 0.115299i | \(-0.963217\pi\) |
−0.197300 | + | 0.980343i | \(0.563217\pi\) | |||||||
\(642\) | −63.4307 | − | 124.490i | −0.0988018 | − | 0.193909i | ||||
\(643\) | 81.8654 | + | 81.8654i | 0.127318 | + | 0.127318i | 0.767894 | − | 0.640576i | \(-0.221305\pi\) |
−0.640576 | + | 0.767894i | \(0.721305\pi\) | |||||||
\(644\) | 502.909 | + | 163.405i | 0.780915 | + | 0.253735i | ||||
\(645\) | −113.975 | − | 52.1956i | −0.176706 | − | 0.0809235i | ||||
\(646\) | −111.643 | − | 343.601i | −0.172821 | − | 0.531890i | ||||
\(647\) | −989.616 | − | 504.234i | −1.52955 | − | 0.779342i | −0.531827 | − | 0.846853i | \(-0.678494\pi\) |
−0.997719 | + | 0.0675110i | \(0.978494\pi\) | |||||||
\(648\) | −32.1833 | − | 203.197i | −0.0496656 | − | 0.313576i | ||||
\(649\) | − | 223.936i | − | 0.345047i | ||||||
\(650\) | 67.6378 | + | 807.393i | 0.104058 | + | 1.24214i | ||||
\(651\) | −197.001 | −0.302613 | ||||||||
\(652\) | 163.133 | − | 25.8377i | 0.250204 | − | 0.0396284i | ||||
\(653\) | 278.161 | − | 545.922i | 0.425975 | − | 0.836022i | −0.573880 | − | 0.818940i | \(-0.694562\pi\) |
0.999854 | − | 0.0170824i | \(-0.00543777\pi\) | |||||||
\(654\) | −66.4625 | + | 21.5950i | −0.101625 | + | 0.0330199i | ||||
\(655\) | 561.278 | − | 316.191i | 0.856913 | − | 0.482734i | ||||
\(656\) | −57.0620 | + | 175.619i | −0.0869848 | + | 0.267712i | ||||
\(657\) | −608.054 | + | 608.054i | −0.925500 | + | 0.925500i | ||||
\(658\) | −117.704 | + | 59.9733i | −0.178882 | + | 0.0911448i | ||||
\(659\) | 306.794 | + | 422.266i | 0.465545 | + | 0.640768i | 0.975647 | − | 0.219346i | \(-0.0703924\pi\) |
−0.510102 | + | 0.860114i | \(0.670392\pi\) | |||||||
\(660\) | 31.3969 | − | 1.31281i | 0.0475710 | − | 0.00198910i | ||||
\(661\) | 119.230 | + | 86.6259i | 0.180379 | + | 0.131053i | 0.674311 | − | 0.738448i | \(-0.264441\pi\) |
−0.493932 | + | 0.869501i | \(0.664441\pi\) | |||||||
\(662\) | 92.2109 | − | 582.197i | 0.139291 | − | 0.879452i | ||||
\(663\) | 224.948 | + | 35.6283i | 0.339289 | + | 0.0537381i | ||||
\(664\) | 25.4849 | − | 35.0769i | 0.0383809 | − | 0.0528267i | ||||
\(665\) | −701.707 | − | 195.995i | −1.05520 | − | 0.294729i | ||||
\(666\) | −154.291 | + | 112.099i | −0.231668 | + | 0.168317i | ||||
\(667\) | −183.462 | − | 360.064i | −0.275055 | − | 0.539826i | ||||
\(668\) | 74.2292 | + | 74.2292i | 0.111122 | + | 0.111122i | ||||
\(669\) | −201.114 | − | 65.3460i | −0.300619 | − | 0.0976771i | ||||
\(670\) | 44.5477 | − | 384.681i | 0.0664891 | − | 0.574151i | ||||
\(671\) | 24.8533 | + | 76.4905i | 0.0370392 | + | 0.113995i | ||||
\(672\) | 28.5717 | + | 14.5580i | 0.0425174 | + | 0.0216637i | ||||
\(673\) | 38.7807 | + | 244.852i | 0.0576236 | + | 0.363821i | 0.999604 | + | 0.0281522i | \(0.00896230\pi\) |
−0.941980 | + | 0.335669i | \(0.891038\pi\) | |||||||
\(674\) | 302.401i | 0.448666i | ||||||||
\(675\) | 58.6513 | + | 238.989i | 0.0868908 | + | 0.354058i | ||||
\(676\) | 712.332 | 1.05375 | ||||||||
\(677\) | −301.786 | + | 47.7981i | −0.445769 | + | 0.0706029i | −0.375284 | − | 0.926910i | \(-0.622455\pi\) |
−0.0704851 | + | 0.997513i | \(0.522455\pi\) | |||||||
\(678\) | −8.57225 | + | 16.8240i | −0.0126434 | + | 0.0248141i | ||||
\(679\) | 739.299 | − | 240.213i | 1.08881 | − | 0.353774i | ||||
\(680\) | 49.9033 | + | 247.619i | 0.0733871 | + | 0.364146i | ||||
\(681\) | 31.0154 | − | 95.4556i | 0.0455439 | − | 0.140170i | ||||
\(682\) | −196.270 | + | 196.270i | −0.287786 | + | 0.287786i | ||||
\(683\) | −241.102 | + | 122.848i | −0.353005 | + | 0.179865i | −0.621496 | − | 0.783417i | \(-0.713475\pi\) |
0.268491 | + | 0.963282i | \(0.413475\pi\) | |||||||
\(684\) | −146.119 | − | 201.116i | −0.213624 | − | 0.294029i | ||||
\(685\) | −120.357 | + | 95.3744i | −0.175704 | + | 0.139233i | ||||
\(686\) | 67.4979 | + | 49.0401i | 0.0983935 | + | 0.0714870i | ||||
\(687\) | 2.22724 | − | 14.0622i | 0.00324197 | − | 0.0204690i | ||||
\(688\) | −178.018 | − | 28.1952i | −0.258747 | − | 0.0409815i | ||||
\(689\) | 382.436 | − | 526.378i | 0.555059 | − | 0.763973i | ||||
\(690\) | −63.4162 | − | 80.0276i | −0.0919075 | − | 0.115982i | ||||
\(691\) | −432.755 | + | 314.415i | −0.626274 | + | 0.455014i | −0.855107 | − | 0.518451i | \(-0.826509\pi\) |
0.228834 | + | 0.973466i | \(0.426509\pi\) | |||||||
\(692\) | −40.5426 | − | 79.5693i | −0.0585875 | − | 0.114984i | ||||
\(693\) | 353.565 | + | 353.565i | 0.510195 | + | 0.510195i | ||||
\(694\) | 170.781 | + | 55.4902i | 0.246082 | + | 0.0799570i | ||||
\(695\) | −836.910 | + | 168.664i | −1.20419 | + | 0.242683i | ||||
\(696\) | −7.57274 | − | 23.3065i | −0.0108804 | − | 0.0334863i | ||||
\(697\) | 734.683 | + | 374.340i | 1.05406 | + | 0.537073i | ||||
\(698\) | 26.0343 | + | 164.374i | 0.0372984 | + | 0.235493i | ||||
\(699\) | 152.855i | 0.218676i | ||||||||
\(700\) | 471.590 | + | 192.561i | 0.673700 | + | 0.275087i | ||||
\(701\) | −617.860 | −0.881397 | −0.440699 | − | 0.897655i | \(-0.645269\pi\) | ||||
−0.440699 | + | 0.897655i | \(0.645269\pi\) | |||||||
\(702\) | 315.081 | − | 49.9039i | 0.448833 | − | 0.0710881i | ||||
\(703\) | −100.761 | + | 197.755i | −0.143330 | + | 0.281302i | ||||
\(704\) | 42.9696 | − | 13.9617i | 0.0610363 | − | 0.0198319i | ||||
\(705\) | 25.3393 | + | 2.93440i | 0.0359422 | + | 0.00416226i | ||||
\(706\) | 23.9431 | − | 73.6892i | 0.0339137 | − | 0.104376i | ||||
\(707\) | 1125.18 | − | 1125.18i | 1.59149 | − | 1.59149i | ||||
\(708\) | −39.3160 | + | 20.0325i | −0.0555311 | + | 0.0282945i | ||||
\(709\) | −718.310 | − | 988.668i | −1.01313 | − | 1.39445i | −0.916910 | − | 0.399095i | \(-0.869325\pi\) |
−0.0962207 | − | 0.995360i | \(-0.530675\pi\) | |||||||
\(710\) | −147.066 | + | 526.531i | −0.207136 | + | 0.741594i | ||||
\(711\) | 816.111 | + | 592.939i | 1.14784 | + | 0.833951i | ||||
\(712\) | −32.3801 | + | 204.440i | −0.0454776 | + | 0.287134i | ||||
\(713\) | 890.804 | + | 141.089i | 1.24937 | + | 0.197881i | ||||
\(714\) | 84.1643 | − | 115.842i | 0.117877 | − | 0.162244i | ||||
\(715\) | −27.0345 | − | 646.553i | −0.0378105 | − | 0.904270i | ||||
\(716\) | −527.923 | + | 383.559i | −0.737323 | + | 0.535697i | ||||
\(717\) | −27.3847 | − | 53.7455i | −0.0381935 | − | 0.0749589i | ||||
\(718\) | −459.128 | − | 459.128i | −0.639454 | − | 0.639454i | ||||
\(719\) | 552.407 | + | 179.488i | 0.768299 | + | 0.249635i | 0.666837 | − | 0.745204i | \(-0.267648\pi\) |
0.101462 | + | 0.994839i | \(0.467648\pi\) | |||||||
\(720\) | 85.3080 | + | 151.432i | 0.118483 | + | 0.210323i | ||||
\(721\) | −509.353 | − | 1567.63i | −0.706454 | − | 2.17424i | ||||
\(722\) | 197.116 | + | 100.436i | 0.273014 | + | 0.139108i | ||||
\(723\) | 32.1749 | + | 203.144i | 0.0445019 | + | 0.280974i | ||||
\(724\) | − | 165.669i | − | 0.228825i | ||||||
\(725\) | −150.782 | − | 358.895i | −0.207975 | − | 0.495028i | ||||
\(726\) | 70.1157 | 0.0965781 | ||||||||
\(727\) | −353.383 | + | 55.9703i | −0.486083 | + | 0.0769880i | −0.394666 | − | 0.918825i | \(-0.629140\pi\) |
−0.0914173 | + | 0.995813i | \(0.529140\pi\) | |||||||
\(728\) | 299.792 | − | 588.374i | 0.411802 | − | 0.808206i | ||||
\(729\) | −554.293 | + | 180.101i | −0.760347 | + | 0.247052i | ||||
\(730\) | 291.328 | − | 636.149i | 0.399080 | − | 0.871438i | ||||
\(731\) | −248.702 | + | 765.427i | −0.340222 | + | 1.04710i | ||||
\(732\) | 11.2060 | − | 11.2060i | 0.0153088 | − | 0.0153088i | ||||
\(733\) | −1280.53 | + | 652.460i | −1.74697 | + | 0.890123i | −0.783886 | + | 0.620904i | \(0.786766\pi\) |
−0.963079 | + | 0.269219i | \(0.913234\pi\) | |||||||
\(734\) | 466.851 | + | 642.566i | 0.636037 | + | 0.875430i | ||||
\(735\) | −53.1197 | − | 142.878i | −0.0722716 | − | 0.194391i | ||||
\(736\) | −118.770 | − | 86.2914i | −0.161372 | − | 0.117244i | ||||
\(737\) | −48.3845 | + | 305.488i | −0.0656506 | + | 0.414501i | ||||
\(738\) | 560.376 | + | 88.7549i | 0.759317 | + | 0.120264i | ||||
\(739\) | −125.167 | + | 172.278i | −0.169373 | + | 0.233123i | −0.885263 | − | 0.465091i | \(-0.846022\pi\) |
0.715889 | + | 0.698214i | \(0.246022\pi\) | |||||||
\(740\) | 85.8867 | − | 129.242i | 0.116063 | − | 0.174651i | ||||
\(741\) | 147.545 | − | 107.198i | 0.199116 | − | 0.144667i | ||||
\(742\) | −185.709 | − | 364.474i | −0.250281 | − | 0.491205i | ||||
\(743\) | −775.885 | − | 775.885i | −1.04426 | − | 1.04426i | −0.998974 | − | 0.0452854i | \(-0.985580\pi\) |
−0.0452854 | − | 0.998974i | \(-0.514420\pi\) | |||||||
\(744\) | 52.0164 | + | 16.9012i | 0.0699145 | + | 0.0227166i | ||||
\(745\) | −80.2521 | + | 87.2561i | −0.107721 | + | 0.117122i | ||||
\(746\) | 82.3237 | + | 253.366i | 0.110354 | + | 0.339633i | ||||
\(747\) | −118.697 | − | 60.4792i | −0.158898 | − | 0.0809627i | ||||
\(748\) | −31.5603 | − | 199.264i | −0.0421929 | − | 0.266396i | ||||
\(749\) | 1808.91i | 2.41510i | ||||||||
\(750\) | −55.2633 | − | 81.3694i | −0.0736844 | − | 0.108493i | ||||
\(751\) | 738.937 | 0.983938 | 0.491969 | − | 0.870613i | \(-0.336277\pi\) | ||||
0.491969 | + | 0.870613i | \(0.336277\pi\) | |||||||
\(752\) | 36.2240 | − | 5.73732i | 0.0481702 | − | 0.00762941i | ||||
\(753\) | −5.22640 | + | 10.2574i | −0.00694077 | + | 0.0136220i | ||||
\(754\) | −479.949 | + | 155.945i | −0.636537 | + | 0.206823i | ||||
\(755\) | 762.872 | + | 701.636i | 1.01043 | + | 0.929319i | ||||
\(756\) | 61.9769 | − | 190.745i | 0.0819801 | − | 0.252309i | ||||
\(757\) | 821.816 | − | 821.816i | 1.08562 | − | 1.08562i | 0.0896488 | − | 0.995973i | \(-0.471426\pi\) |
0.995973 | − | 0.0896488i | \(-0.0285745\pi\) | |||||||
\(758\) | 30.1989 | − | 15.3871i | 0.0398402 | − | 0.0202996i | ||||
\(759\) | 47.9356 | + | 65.9776i | 0.0631562 | + | 0.0869271i | ||||
\(760\) | 168.465 | + | 111.952i | 0.221664 | + | 0.147305i | ||||
\(761\) | 972.054 | + | 706.239i | 1.27734 | + | 0.928040i | 0.999469 | − | 0.0325787i | \(-0.0103719\pi\) |
0.277869 | + | 0.960619i | \(0.410372\pi\) | |||||||
\(762\) | 3.84300 | − | 24.2637i | 0.00504330 | − | 0.0318422i | ||||
\(763\) | 893.623 | + | 141.536i | 1.17120 | + | 0.185499i | ||||
\(764\) | 162.772 | − | 224.036i | 0.213052 | − | 0.293241i | ||||
\(765\) | 727.462 | − | 270.459i | 0.950930 | − | 0.353541i | ||||
\(766\) | 18.2609 | − | 13.2673i | 0.0238392 | − | 0.0173202i | ||||
\(767\) | 412.528 | + | 809.632i | 0.537846 | + | 1.05558i | ||||
\(768\) | −6.29514 | − | 6.29514i | −0.00819680 | − | 0.00819680i | ||||
\(769\) | 596.588 | + | 193.843i | 0.775797 | + | 0.252072i | 0.670045 | − | 0.742321i | \(-0.266275\pi\) |
0.105753 | + | 0.994392i | \(0.466275\pi\) | |||||||
\(770\) | −369.902 | − | 169.398i | −0.480392 | − | 0.219998i | ||||
\(771\) | 14.0046 | + | 43.1017i | 0.0181642 | + | 0.0559037i | ||||
\(772\) | −37.2561 | − | 18.9829i | −0.0482592 | − | 0.0245893i | ||||
\(773\) | −119.204 | − | 752.625i | −0.154210 | − | 0.973641i | −0.936485 | − | 0.350708i | \(-0.885941\pi\) |
0.782275 | − | 0.622933i | \(-0.214059\pi\) | |||||||
\(774\) | 553.781i | 0.715480i | ||||||||
\(775\) | 845.823 | + | 198.563i | 1.09138 | + | 0.256210i | ||||
\(776\) | −215.814 | −0.278111 | ||||||||
\(777\) | −86.8817 | + | 13.7607i | −0.111817 | + | 0.0177101i | ||||
\(778\) | −156.624 | + | 307.393i | −0.201317 | + | 0.395106i | ||||
\(779\) | 627.957 | − | 204.036i | 0.806107 | − | 0.261920i | ||||
\(780\) | −111.096 | + | 62.5848i | −0.142431 | + | 0.0802370i | ||||
\(781\) | 134.927 | − | 415.263i | 0.172762 | − | 0.531706i | ||||
\(782\) | −463.540 | + | 463.540i | −0.592763 | + | 0.592763i | ||||
\(783\) | −136.566 | + | 69.5841i | −0.174414 | + | 0.0888686i | ||||
\(784\) | −128.821 | − | 177.307i | −0.164312 | − | 0.226157i | ||||
\(785\) | 181.389 | − | 7.58446i | 0.231068 | − | 0.00966173i | ||||
\(786\) | 82.0223 | + | 59.5927i | 0.104354 | + | 0.0758177i | ||||
\(787\) | 172.436 | − | 1088.72i | 0.219105 | − | 1.38338i | −0.595497 | − | 0.803357i | \(-0.703045\pi\) |
0.814603 | − | 0.580019i | \(-0.196955\pi\) | |||||||
\(788\) | −12.3864 | − | 1.96181i | −0.0157188 | − | 0.00248961i | ||||
\(789\) | 28.6809 | − | 39.4758i | 0.0363509 | − | 0.0500327i | ||||
\(790\) | −790.541 | − | 220.807i | −1.00068 | − | 0.279503i | ||||
\(791\) | 197.774 | − | 143.691i | 0.250031 | − | 0.181658i | ||||
\(792\) | −63.0226 | − | 123.689i | −0.0795740 | − | 0.156173i | ||||
\(793\) | −230.765 | − | 230.765i | −0.291003 | − | 0.291003i | ||||
\(794\) | −289.146 | − | 93.9493i | −0.364164 | − | 0.118324i | ||||
\(795\) | −9.08644 | + | 78.4638i | −0.0114295 | + | 0.0986966i | ||||
\(796\) | 150.823 | + | 464.185i | 0.189476 | + | 0.583148i | ||||
\(797\) | −932.407 | − | 475.085i | −1.16990 | − | 0.596091i | −0.242492 | − | 0.970154i | \(-0.577965\pi\) |
−0.927404 | + | 0.374062i | \(0.877965\pi\) | |||||||
\(798\) | −17.9368 | − | 113.249i | −0.0224773 | − | 0.141916i | ||||
\(799\) | − | 163.769i | − | 0.204967i | ||||||
\(800\) | −107.999 | − | 91.3029i | −0.134999 | − | 0.114129i | ||||
\(801\) | 635.975 | 0.793976 | ||||||||
\(802\) | −723.309 | + | 114.561i | −0.901881 | + | 0.142844i | ||||
\(803\) | −253.705 | + | 497.924i | −0.315946 | + | 0.620079i | ||||
\(804\) | 57.9623 | − | 18.8331i | 0.0720924 | − | 0.0234242i | ||||
\(805\) | 261.170 | + | 1295.92i | 0.324434 | + | 1.60984i | ||||
\(806\) | 348.044 | − | 1071.17i | 0.431816 | − | 1.32899i | ||||
\(807\) | −32.8431 | + | 32.8431i | −0.0406978 | + | 0.0406978i | ||||
\(808\) | −393.627 | + | 200.563i | −0.487162 | + | 0.248222i | ||||
\(809\) | −476.312 | − | 655.588i | −0.588767 | − | 0.810368i | 0.405855 | − | 0.913937i | \(-0.366974\pi\) |
−0.994622 | + | 0.103569i | \(0.966974\pi\) | |||||||
\(810\) | 403.105 | − | 319.432i | 0.497661 | − | 0.394361i | ||||
\(811\) | −288.711 | − | 209.761i | −0.355994 | − | 0.258644i | 0.395385 | − | 0.918515i | \(-0.370611\pi\) |
−0.751379 | + | 0.659871i | \(0.770611\pi\) | |||||||
\(812\) | −49.6326 | + | 313.368i | −0.0611239 | + | 0.385921i | ||||
\(813\) | 59.6097 | + | 9.44124i | 0.0733206 | + | 0.0116128i | ||||
\(814\) | −72.8496 | + | 100.269i | −0.0894958 | + | 0.123180i | ||||
\(815\) | 256.450 | + | 323.625i | 0.314663 | + | 0.397086i | ||||
\(816\) | −32.1612 | + | 23.3665i | −0.0394132 | + | 0.0286354i | ||||
\(817\) | 292.583 | + | 574.226i | 0.358119 | + | 0.702847i | ||||
\(818\) | 190.091 | + | 190.091i | 0.232386 | + | 0.232386i | ||||
\(819\) | −1929.63 | − | 626.975i | −2.35608 | − | 0.765537i | ||||
\(820\) | −452.543 | + | 91.2021i | −0.551882 | + | 0.111222i | ||||
\(821\) | −456.889 | − | 1406.16i | −0.556503 | − | 1.71274i | −0.691941 | − | 0.721954i | \(-0.743244\pi\) |
0.135438 | − | 0.990786i | \(-0.456756\pi\) | |||||||
\(822\) | −21.5336 | − | 10.9719i | −0.0261966 | − | 0.0133479i | ||||
\(823\) | −32.3733 | − | 204.397i | −0.0393357 | − | 0.248356i | 0.960183 | − | 0.279371i | \(-0.0901259\pi\) |
−0.999519 | + | 0.0310153i | \(0.990126\pi\) | |||||||
\(824\) | 457.617i | 0.555360i | ||||||||
\(825\) | 41.3848 | + | 66.7764i | 0.0501634 | + | 0.0809411i | ||||
\(826\) | 571.285 | 0.691628 | ||||||||
\(827\) | 415.905 | − | 65.8728i | 0.502908 | − | 0.0796528i | 0.100174 | − | 0.994970i | \(-0.468060\pi\) |
0.402734 | + | 0.915317i | \(0.368060\pi\) | |||||||
\(828\) | −204.781 | + | 401.906i | −0.247320 | + | 0.485393i | ||||
\(829\) | −1383.10 | + | 449.395i | −1.66839 | + | 0.542093i | −0.982605 | − | 0.185709i | \(-0.940542\pi\) |
−0.685787 | + | 0.727802i | \(0.740542\pi\) | |||||||
\(830\) | 107.674 | + | 12.4691i | 0.129728 | + | 0.0150230i | ||||
\(831\) | −9.68491 | + | 29.8071i | −0.0116545 | + | 0.0358690i | ||||
\(832\) | −129.635 | + | 129.635i | −0.155812 | + | 0.155812i | ||||
\(833\) | −871.972 | + | 444.292i | −1.04679 | + | 0.533364i | ||||
\(834\) | −78.9747 | − | 108.699i | −0.0946939 | − | 0.130335i | ||||
\(835\) | −70.6003 | + | 252.765i | −0.0845512 | + | 0.302713i | ||||
\(836\) | −130.699 | − | 94.9581i | −0.156338 | − | 0.113586i | ||||
\(837\) | 53.5130 | − | 337.868i | 0.0639343 | − | 0.403665i | ||||
\(838\) | 149.659 | + | 23.7037i | 0.178591 | + | 0.0282860i | ||||
\(839\) | −342.847 | + | 471.888i | −0.408638 | + | 0.562441i | −0.962885 | − | 0.269910i | \(-0.913006\pi\) |
0.554248 | + | 0.832352i | \(0.313006\pi\) | |||||||
\(840\) | 3.34912 | + | 80.0969i | 0.00398704 | + | 0.0953535i | ||||
\(841\) | −484.225 | + | 351.810i | −0.575772 | + | 0.418323i | ||||
\(842\) | −235.230 | − | 461.665i | −0.279370 | − | 0.548295i | ||||
\(843\) | −125.045 | − | 125.045i | −0.148334 | − | 0.148334i | ||||
\(844\) | −302.505 | − | 98.2900i | −0.358419 | − | 0.116457i | ||||
\(845\) | 874.063 | + | 1551.57i | 1.03439 | + | 1.83618i | ||||
\(846\) | −34.8220 | − | 107.171i | −0.0411607 | − | 0.126680i | ||||
\(847\) | −808.835 | − | 412.122i | −0.954941 | − | 0.486567i | ||||
\(848\) | 17.7658 | + | 112.169i | 0.0209502 | + | 0.132274i | ||||
\(849\) | − | 266.544i | − | 0.313950i | ||||||
\(850\) | −478.119 | + | 412.536i | −0.562493 | + | 0.485337i | ||||
\(851\) | 402.719 | 0.473230 | ||||||||
\(852\) | −84.9772 | + | 13.4591i | −0.0997385 | + | 0.0157970i | ||||
\(853\) | 335.123 | − | 657.717i | 0.392876 | − | 0.771063i | −0.606842 | − | 0.794823i | \(-0.707564\pi\) |
0.999718 | + | 0.0237600i | \(0.00756377\pi\) | |||||||
\(854\) | −195.136 | + | 63.4035i | −0.228496 | + | 0.0742430i | ||||
\(855\) | 258.767 | − | 565.048i | 0.302651 | − | 0.660875i | ||||
\(856\) | 155.190 | − | 477.627i | 0.181297 | − | 0.557975i | ||||
\(857\) | 189.288 | − | 189.288i | 0.220873 | − | 0.220873i | −0.587993 | − | 0.808866i | \(-0.700082\pi\) |
0.808866 | + | 0.587993i | \(0.200082\pi\) | |||||||
\(858\) | 90.7423 | − | 46.2355i | 0.105760 | − | 0.0538875i | ||||
\(859\) | −689.325 | − | 948.775i | −0.802474 | − | 1.10451i | −0.992441 | − | 0.122720i | \(-0.960838\pi\) |
0.189967 | − | 0.981790i | \(-0.439162\pi\) | |||||||
\(860\) | −157.022 | − | 422.347i | −0.182584 | − | 0.491101i | ||||
\(861\) | 211.711 | + | 153.817i | 0.245889 | + | 0.178649i | ||||
\(862\) | −20.3547 | + | 128.514i | −0.0236133 | + | 0.149088i | ||||
\(863\) | 238.733 | + | 37.8116i | 0.276631 | + | 0.0438141i | 0.293209 | − | 0.956048i | \(-0.405277\pi\) |
−0.0165773 | + | 0.999863i | \(0.505277\pi\) | |||||||
\(864\) | −32.7289 | + | 45.0475i | −0.0378807 | + | 0.0521383i | ||||
\(865\) | 123.567 | − | 185.943i | 0.142852 | − | 0.214963i | ||||
\(866\) | 49.7588 | − | 36.1519i | 0.0574582 | − | 0.0417458i | ||||
\(867\) | 7.58518 | + | 14.8868i | 0.00874877 | + | 0.0171704i | ||||
\(868\) | −500.706 | − | 500.706i | −0.576850 | − | 0.576850i | ||||
\(869\) | 623.481 | + | 202.581i | 0.717469 | + | 0.233120i | ||||
\(870\) | 41.4731 | − | 45.0927i | 0.0476702 | − | 0.0518307i | ||||
\(871\) | −387.828 | − | 1193.61i | −0.445268 | − | 1.37039i | ||||
\(872\) | −223.811 | − | 114.037i | −0.256664 | − | 0.130777i | ||||
\(873\) | 103.731 | + | 654.929i | 0.118821 | + | 0.750205i | ||||
\(874\) | 524.937i | 0.600615i | ||||||||
\(875\) | 159.233 | + | 1263.48i | 0.181981 | + | 1.44397i | ||||
\(876\) | 110.115 | 0.125702 | ||||||||
\(877\) | 338.646 | − | 53.6362i | 0.386141 | − | 0.0611587i | 0.0396540 | − | 0.999213i | \(-0.487374\pi\) |
0.346487 | + | 0.938055i | \(0.387374\pi\) | |||||||
\(878\) | 494.161 | − | 969.845i | 0.562826 | − | 1.10461i | ||||
\(879\) | 288.388 | − | 93.7030i | 0.328087 | − | 0.106602i | ||||
\(880\) | 83.1363 | + | 76.4629i | 0.0944730 | + | 0.0868896i | ||||
\(881\) | 66.8030 | − | 205.598i | 0.0758263 | − | 0.233369i | −0.905958 | − | 0.423367i | \(-0.860848\pi\) |
0.981785 | + | 0.189998i | \(0.0608481\pi\) | |||||||
\(882\) | −476.154 | + | 476.154i | −0.539857 | + | 0.539857i | ||||
\(883\) | −305.211 | + | 155.513i | −0.345653 | + | 0.176119i | −0.618195 | − | 0.786025i | \(-0.712136\pi\) |
0.272542 | + | 0.962144i | \(0.412136\pi\) | |||||||
\(884\) | 481.184 | + | 662.293i | 0.544326 | + | 0.749200i | ||||
\(885\) | −91.8765 | − | 61.0557i | −0.103815 | − | 0.0689895i | ||||
\(886\) | 775.335 | + | 563.314i | 0.875096 | + | 0.635794i | ||||
\(887\) | 18.6058 | − | 117.473i | 0.0209761 | − | 0.132438i | −0.974978 | − | 0.222302i | \(-0.928643\pi\) |
0.995954 | + | 0.0898635i | \(0.0286431\pi\) | |||||||
\(888\) | 24.1209 | + | 3.82038i | 0.0271632 | + | 0.00430223i | ||||
\(889\) | −186.948 | + | 257.311i | −0.210290 | + | 0.289439i | ||||
\(890\) | −485.033 | + | 180.328i | −0.544981 | + | 0.202615i | ||||
\(891\) | −332.335 | + | 241.455i | −0.372991 | + | 0.270994i | ||||
\(892\) | −345.074 | − | 677.247i | −0.386855 | − | 0.759245i | ||||
\(893\) | −92.7300 | − | 92.7300i | −0.103841 | − | 0.103841i | ||||
\(894\) | −17.7440 | − | 5.76539i | −0.0198479 | − | 0.00644898i | ||||
\(895\) | −1483.24 | − | 679.256i | −1.65725 | − | 0.758945i | ||||
\(896\) | 35.6178 | + | 109.620i | 0.0397520 | + | 0.122344i | ||||
\(897\) | −294.852 | − | 150.234i | −0.328709 | − | 0.167485i | ||||
\(898\) | −196.804 | − | 1242.57i | −0.219159 | − | 1.38371i | ||||
\(899\) | 541.145i | 0.601941i | ||||||||
\(900\) | −225.167 | + | 371.628i | −0.250185 | + | 0.412920i | ||||
\(901\) | 507.114 | 0.562834 | ||||||||
\(902\) | 364.171 | − | 57.6789i | 0.403737 | − | 0.0639456i | ||||
\(903\) | −115.961 | + | 227.585i | −0.128417 | + | 0.252033i | ||||
\(904\) | −64.5481 | + | 20.9730i | −0.0714028 | + | 0.0232002i | ||||
\(905\) | 360.854 | − | 203.284i | 0.398734 | − | 0.224623i | ||||
\(906\) | −50.4062 | + | 155.134i | −0.0556360 | + | 0.171230i | ||||
\(907\) | −102.765 | + | 102.765i | −0.113302 | + | 0.113302i | −0.761485 | − | 0.648183i | \(-0.775529\pi\) |
0.648183 | + | 0.761485i | \(0.275529\pi\) | |||||||
\(908\) | 321.444 | − | 163.784i | 0.354013 | − | 0.180379i | ||||
\(909\) | 797.843 | + | 1098.14i | 0.877715 | + | 1.20807i | ||||
\(910\) | 1649.43 | − | 68.9681i | 1.81256 | − | 0.0757891i | ||||
\(911\) | −107.266 | − | 77.9334i | −0.117745 | − | 0.0855471i | 0.527354 | − | 0.849646i | \(-0.323184\pi\) |
−0.645100 | + | 0.764099i | \(0.723184\pi\) | |||||||
\(912\) | −4.97980 | + | 31.4412i | −0.00546030 | + | 0.0344750i | ||||
\(913\) | −85.5075 | − | 13.5431i | −0.0936555 | − | 0.0148336i | ||||
\(914\) | −54.2175 | + | 74.6239i | −0.0593189 | + | 0.0816454i | ||||
\(915\) | 38.1588 | + | 10.6582i | 0.0417036 | + | 0.0116483i | ||||
\(916\) | 41.4020 | − | 30.0803i | 0.0451986 | − | 0.0328387i | ||||
\(917\) | −595.916 | − | 1169.55i | −0.649854 | − | 1.27541i | ||||
\(918\) | 175.814 | + | 175.814i | 0.191518 | + | 0.191518i | ||||
\(919\) | 1104.79 | + | 358.968i | 1.20217 | + | 0.390607i | 0.840557 | − | 0.541723i | \(-0.182228\pi\) |
0.361609 | + | 0.932330i | \(0.382228\pi\) | |||||||
\(920\) | 42.2202 | − | 364.583i | 0.0458915 | − | 0.396285i | ||||
\(921\) | −9.92910 | − | 30.5586i | −0.0107808 | − | 0.0331798i | ||||
\(922\) | 973.790 | + | 496.171i | 1.05617 | + | 0.538146i | ||||
\(923\) | 277.161 | + | 1749.93i | 0.300283 | + | 1.89591i | ||||
\(924\) | − | 64.0287i | − | 0.0692952i | ||||||
\(925\) | 386.896 | + | 28.4888i | 0.418266 | + | 0.0307987i | ||||
\(926\) | 644.211 | 0.695692 | ||||||||
\(927\) | 1388.73 | − | 219.953i | 1.49809 | − | 0.237274i | ||||
\(928\) | 39.9896 | − | 78.4839i | 0.0430922 | − | 0.0845732i | ||||
\(929\) | 68.6295 | − | 22.2991i | 0.0738746 | − | 0.0240033i | −0.271847 | − | 0.962341i | \(-0.587634\pi\) |
0.345721 | + | 0.938337i | \(0.387634\pi\) | |||||||
\(930\) | 27.0131 | + | 134.038i | 0.0290463 | + | 0.144127i | ||||
\(931\) | −242.163 | + | 745.303i | −0.260111 | + | 0.800540i | ||||
\(932\) | −388.501 | + | 388.501i | −0.416847 | + | 0.416847i | ||||
\(933\) | −256.885 | + | 130.889i | −0.275332 | + | 0.140289i | ||||
\(934\) | 290.580 | + | 399.949i | 0.311114 | + | 0.428211i | ||||
\(935\) | 395.302 | − | 313.249i | 0.422783 | − | 0.335026i | ||||
\(936\) | 455.712 | + | 331.094i | 0.486872 | + | 0.353733i | ||||
\(937\) | 1.09335 | − | 6.90314i | 0.00116686 | − | 0.00736728i | −0.987098 | − | 0.160117i | \(-0.948813\pi\) |
0.988265 | + | 0.152750i | \(0.0488128\pi\) | |||||||
\(938\) | −779.333 | − | 123.434i | −0.830845 | − | 0.131593i | ||||
\(939\) | −65.9113 | + | 90.7191i | −0.0701931 | + | 0.0966125i | ||||
\(940\) | 56.9452 | + | 71.8616i | 0.0605800 | + | 0.0764485i | ||||
\(941\) | −895.131 | + | 650.351i | −0.951255 | + | 0.691127i | −0.951103 | − | 0.308873i | \(-0.900048\pi\) |
−0.000151406 | 1.00000i | \(0.500048\pi\) | ||||||||
\(942\) | 12.9712 | + | 25.4575i | 0.0137699 | + | 0.0270250i | ||||
\(943\) | −847.156 | − | 847.156i | −0.898363 | − | 0.898363i | ||||
\(944\) | −150.843 | − | 49.0118i | −0.159791 | − | 0.0519193i | ||||
\(945\) | 491.522 | − | 99.0575i | 0.520129 | − | 0.104823i | ||||
\(946\) | 111.210 | + | 342.271i | 0.117559 | + | 0.361808i | ||||
\(947\) | 553.987 | + | 282.271i | 0.584992 | + | 0.298068i | 0.721327 | − | 0.692595i | \(-0.243532\pi\) |
−0.136335 | + | 0.990663i | \(0.543532\pi\) | |||||||
\(948\) | −20.2076 | − | 127.586i | −0.0213160 | − | 0.134584i | ||||
\(949\) | − | 2267.60i | − | 2.38946i | ||||||
\(950\) | −37.1347 | + | 504.312i | −0.0390892 | + | 0.530855i | ||||
\(951\) | 264.298 | 0.277915 | ||||||||
\(952\) | 508.345 | − | 80.5139i | 0.533976 | − | 0.0845734i | ||||
\(953\) | 757.601 | − | 1486.88i | 0.794965 | − | 1.56021i | −0.0330196 | − | 0.999455i | \(-0.510512\pi\) |
0.827984 | − | 0.560751i | \(-0.189488\pi\) | |||||||
\(954\) | 331.858 | − | 107.827i | 0.347860 | − | 0.113026i | ||||
\(955\) | 687.713 | + | 79.6401i | 0.720119 | + | 0.0833928i | ||||
\(956\) | 66.9997 | − | 206.204i | 0.0700834 | − | 0.215695i | ||||
\(957\) | −34.5999 | + | 34.5999i | −0.0361546 | + | 0.0361546i | ||||
\(958\) | −65.7630 | + | 33.5079i | −0.0686461 | + | 0.0349769i | ||||
\(959\) | 183.916 | + | 253.138i | 0.191779 | + | 0.263961i | ||||
\(960\) | 5.98739 | − | 21.4362i | 0.00623686 | − | 0.0223294i | ||||
\(961\) | −199.625 | − | 145.036i | −0.207726 | − | 0.150922i | ||||
\(962\) | 78.6727 | − | 496.720i | 0.0817804 | − | 0.516341i | ||||
\(963\) | −1524.04 | − | 241.385i | −1.58260 | − | 0.250659i | ||||
\(964\) | −434.543 | + | 598.097i | −0.450770 | + | 0.620432i | ||||
\(965\) | −4.36709 | − | 104.443i | −0.00452548 | − | 0.108231i | ||||
\(966\) | −168.316 | + | 122.289i | −0.174241 | + | 0.126593i | ||||
\(967\) | 289.998 | + | 569.153i | 0.299894 | + | 0.588576i | 0.990951 | − | 0.134225i | \(-0.0428545\pi\) |
−0.691057 | + | 0.722801i | \(0.742854\pi\) | |||||||
\(968\) | 178.209 | + | 178.209i | 0.184100 | + | 0.184100i | ||||
\(969\) | 135.188 | + | 43.9254i | 0.139513 | + | 0.0453306i | ||||
\(970\) | −264.813 | − | 470.076i | −0.273003 | − | 0.484615i | ||||
\(971\) | −108.279 | − | 333.249i | −0.111513 | − | 0.343201i | 0.879691 | − | 0.475546i | \(-0.157749\pi\) |
−0.991204 | + | 0.132345i | \(0.957749\pi\) | |||||||
\(972\) | 229.989 | + | 117.185i | 0.236614 | + | 0.120561i | ||||
\(973\) | 272.123 | + | 1718.12i | 0.279674 | + | 1.76579i | ||||
\(974\) | − | 841.772i | − | 0.864242i | ||||||
\(975\) | −272.639 | − | 165.190i | −0.279630 | − | 0.169425i | ||||
\(976\) | 56.9635 | 0.0583642 | ||||||||
\(977\) | −960.639 | + | 152.150i | −0.983253 | + | 0.155732i | −0.627305 | − | 0.778774i | \(-0.715842\pi\) |
−0.355948 | + | 0.934506i | \(0.615842\pi\) | |||||||
\(978\) | −29.5022 | + | 57.9013i | −0.0301659 | + | 0.0592038i | ||||
\(979\) | 393.071 | − | 127.717i | 0.401503 | − | 0.130456i | ||||
\(980\) | 228.133 | − | 498.155i | 0.232789 | − | 0.508322i | ||||
\(981\) | −238.494 | + | 734.008i | −0.243113 | + | 0.748225i | ||||
\(982\) | 135.953 | − | 135.953i | 0.138445 | − | 0.138445i | ||||
\(983\) | 731.267 | − | 372.599i | 0.743913 | − | 0.379043i | −0.0405830 | − | 0.999176i | \(-0.512922\pi\) |
0.784496 | + | 0.620133i | \(0.212922\pi\) | |||||||
\(984\) | −42.7041 | − | 58.7771i | −0.0433984 | − | 0.0597328i | ||||
\(985\) | −10.9255 | − | 29.3867i | −0.0110919 | − | 0.0298343i | ||||
\(986\) | −318.208 | − | 231.192i | −0.322727 | − | 0.234475i | ||||
\(987\) | 8.13072 | − | 51.3353i | 0.00823781 | − | 0.0520115i | ||||
\(988\) | 647.466 | + | 102.549i | 0.655330 | + | 0.103794i | ||||
\(989\) | 687.347 | − | 946.051i | 0.694991 | − | 0.956574i | ||||
\(990\) | 192.082 | − | 289.045i | 0.194022 | − | 0.291964i | ||||
\(991\) | 280.178 | − | 203.561i | 0.282722 | − | 0.205410i | −0.437382 | − | 0.899276i | \(-0.644094\pi\) |
0.720104 | + | 0.693866i | \(0.244094\pi\) | |||||||
\(992\) | 89.2504 | + | 175.164i | 0.0899702 | + | 0.176576i | ||||
\(993\) | 163.991 | + | 163.991i | 0.165147 | + | 0.165147i | ||||
\(994\) | 1059.38 | + | 344.214i | 1.06578 | + | 0.346292i | ||||
\(995\) | −826.002 | + | 898.092i | −0.830153 | + | 0.902605i | ||||
\(996\) | 5.27148 | + | 16.2239i | 0.00529265 | + | 0.0162891i | ||||
\(997\) | 1161.91 | + | 592.022i | 1.16540 | + | 0.593803i | 0.926151 | − | 0.377154i | \(-0.123097\pi\) |
0.239254 | + | 0.970957i | \(0.423097\pi\) | |||||||
\(998\) | 107.034 | + | 675.784i | 0.107248 | + | 0.677138i | ||||
\(999\) | − | 152.745i | − | 0.152898i |
(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 | 50.3.f.a.13.2 | ✓ | 16 | |
4.3 | odd | 2 | 400.3.bg.a.113.1 | 16 | |||
5.2 | odd | 4 | 250.3.f.a.207.1 | 16 | |||
5.3 | odd | 4 | 250.3.f.c.207.2 | 16 | |||
5.4 | even | 2 | 250.3.f.b.43.1 | 16 | |||
25.2 | odd | 20 | inner | 50.3.f.a.27.2 | yes | 16 | |
25.11 | even | 5 | 250.3.f.a.93.1 | 16 | |||
25.14 | even | 10 | 250.3.f.c.93.2 | 16 | |||
25.23 | odd | 20 | 250.3.f.b.157.1 | 16 | |||
100.27 | even | 20 | 400.3.bg.a.177.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.3.f.a.13.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
50.3.f.a.27.2 | yes | 16 | 25.2 | odd | 20 | inner | |
250.3.f.a.93.1 | 16 | 25.11 | even | 5 | |||
250.3.f.a.207.1 | 16 | 5.2 | odd | 4 | |||
250.3.f.b.43.1 | 16 | 5.4 | even | 2 | |||
250.3.f.b.157.1 | 16 | 25.23 | odd | 20 | |||
250.3.f.c.93.2 | 16 | 25.14 | even | 10 | |||
250.3.f.c.207.2 | 16 | 5.3 | odd | 4 | |||
400.3.bg.a.113.1 | 16 | 4.3 | odd | 2 | |||
400.3.bg.a.177.1 | 16 | 100.27 | even | 20 |