Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 183.33 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.33 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32060 | + | 0.505980i | 0.933805 | + | 0.357782i | ||||
\(3\) | −0.658144 | + | 0.658144i | −0.379979 | + | 0.379979i | −0.871095 | − | 0.491115i | \(-0.836589\pi\) |
0.491115 | + | 0.871095i | \(0.336589\pi\) | |||||||
\(4\) | 1.48797 | + | 1.33639i | 0.743985 | + | 0.668197i | ||||
\(5\) | 0.820865 | + | 2.07995i | 0.367102 | + | 0.930181i | ||||
\(6\) | −1.20215 | + | 0.536137i | −0.490776 | + | 0.218877i | ||||
\(7\) | −1.89124 | − | 1.89124i | −0.714821 | − | 0.714821i | 0.252719 | − | 0.967540i | \(-0.418675\pi\) |
−0.967540 | + | 0.252719i | \(0.918675\pi\) | |||||||
\(8\) | 1.28882 | + | 2.51772i | 0.455668 | + | 0.890150i | ||||
\(9\) | 2.13369i | 0.711231i | ||||||||
\(10\) | 0.0316238 | + | 3.16212i | 0.0100003 | + | 0.999950i | ||||
\(11\) | − | 1.63773i | − | 0.493793i | −0.969042 | − | 0.246896i | \(-0.920589\pi\) | ||
0.969042 | − | 0.246896i | \(-0.0794107\pi\) | |||||||
\(12\) | −1.85884 | + | 0.0997585i | −0.536600 | + | 0.0287978i | ||||
\(13\) | −0.707107 | − | 0.707107i | −0.196116 | − | 0.196116i | ||||
\(14\) | −1.54064 | − | 3.45450i | −0.411754 | − | 0.923254i | ||||
\(15\) | −1.90915 | − | 0.828657i | −0.492941 | − | 0.213958i | ||||
\(16\) | 0.428104 | + | 3.97702i | 0.107026 | + | 0.994256i | ||||
\(17\) | 2.78023 | − | 2.78023i | 0.674306 | − | 0.674306i | −0.284400 | − | 0.958706i | \(-0.591794\pi\) |
0.958706 | + | 0.284400i | \(0.0917943\pi\) | |||||||
\(18\) | −1.07961 | + | 2.81776i | −0.254466 | + | 0.664152i | ||||
\(19\) | 3.52807 | 0.809394 | 0.404697 | − | 0.914451i | \(-0.367377\pi\) | ||||
0.404697 | + | 0.914451i | \(0.367377\pi\) | |||||||
\(20\) | −1.55821 | + | 4.19190i | −0.348425 | + | 0.937337i | ||||
\(21\) | 2.48941 | 0.543235 | ||||||||
\(22\) | 0.828656 | − | 2.16278i | 0.176670 | − | 0.461106i | ||||
\(23\) | 0.868383 | − | 0.868383i | 0.181070 | − | 0.181070i | −0.610752 | − | 0.791822i | \(-0.709133\pi\) |
0.791822 | + | 0.610752i | \(0.209133\pi\) | |||||||
\(24\) | −2.50526 | − | 0.808792i | −0.511383 | − | 0.165094i | ||||
\(25\) | −3.65236 | + | 3.41471i | −0.730472 | + | 0.682943i | ||||
\(26\) | −0.576024 | − | 1.29159i | −0.112968 | − | 0.253301i | ||||
\(27\) | −3.37871 | − | 3.37871i | −0.650233 | − | 0.650233i | ||||
\(28\) | −0.286666 | − | 5.34155i | −0.0541747 | − | 1.00946i | ||||
\(29\) | − | 7.97596i | − | 1.48110i | −0.672002 | − | 0.740549i | \(-0.734565\pi\) | ||
0.672002 | − | 0.740549i | \(-0.265435\pi\) | |||||||
\(30\) | −2.10194 | − | 2.06032i | −0.383760 | − | 0.376160i | ||||
\(31\) | 7.80040i | 1.40099i | 0.713656 | + | 0.700496i | \(0.247038\pi\) | ||||
−0.713656 | + | 0.700496i | \(0.752962\pi\) | |||||||
\(32\) | −1.44694 | + | 5.46867i | −0.255785 | + | 0.966734i | ||||
\(33\) | 1.07786 | + | 1.07786i | 0.187631 | + | 0.187631i | ||||
\(34\) | 5.07832 | − | 2.26484i | 0.870925 | − | 0.388416i | ||||
\(35\) | 2.38122 | − | 5.48613i | 0.402500 | − | 0.927325i | ||||
\(36\) | −2.85145 | + | 3.17487i | −0.475242 | + | 0.529145i | ||||
\(37\) | 4.02786 | − | 4.02786i | 0.662176 | − | 0.662176i | −0.293716 | − | 0.955893i | \(-0.594892\pi\) |
0.955893 | + | 0.293716i | \(0.0948921\pi\) | |||||||
\(38\) | 4.65917 | + | 1.78513i | 0.755817 | + | 0.289586i | ||||
\(39\) | 0.930756 | 0.149040 | ||||||||
\(40\) | −4.17878 | + | 4.74740i | −0.660723 | + | 0.750630i | ||||
\(41\) | 5.49168 | 0.857656 | 0.428828 | − | 0.903386i | \(-0.358927\pi\) | ||||
0.428828 | + | 0.903386i | \(0.358927\pi\) | |||||||
\(42\) | 3.28752 | + | 1.25959i | 0.507275 | + | 0.194359i | ||||
\(43\) | 5.16654 | − | 5.16654i | 0.787890 | − | 0.787890i | −0.193258 | − | 0.981148i | \(-0.561905\pi\) |
0.981148 | + | 0.193258i | \(0.0619055\pi\) | |||||||
\(44\) | 2.18865 | − | 2.43688i | 0.329951 | − | 0.367374i | ||||
\(45\) | −4.43797 | + | 1.75148i | −0.661574 | + | 0.261095i | ||||
\(46\) | 1.58617 | − | 0.707403i | 0.233868 | − | 0.104301i | ||||
\(47\) | −8.12719 | − | 8.12719i | −1.18547 | − | 1.18547i | −0.978306 | − | 0.207167i | \(-0.933576\pi\) |
−0.207167 | − | 0.978306i | \(-0.566424\pi\) | |||||||
\(48\) | −2.89921 | − | 2.33570i | −0.418465 | − | 0.337129i | ||||
\(49\) | 0.153571i | 0.0219388i | ||||||||
\(50\) | −6.55108 | + | 2.66145i | −0.926463 | + | 0.376386i | ||||
\(51\) | 3.65959i | 0.512445i | ||||||||
\(52\) | −0.107180 | − | 1.99713i | −0.0148632 | − | 0.276952i | ||||
\(53\) | −0.551967 | − | 0.551967i | −0.0758185 | − | 0.0758185i | 0.668181 | − | 0.743999i | \(-0.267073\pi\) |
−0.743999 | + | 0.668181i | \(0.767073\pi\) | |||||||
\(54\) | −2.75236 | − | 6.17148i | −0.374549 | − | 0.839832i | ||||
\(55\) | 3.40638 | − | 1.34435i | 0.459316 | − | 0.181272i | ||||
\(56\) | 2.32414 | − | 7.19909i | 0.310577 | − | 0.962019i | ||||
\(57\) | −2.32198 | + | 2.32198i | −0.307553 | + | 0.307553i | ||||
\(58\) | 4.03567 | − | 10.5331i | 0.529910 | − | 1.38306i | ||||
\(59\) | −8.09322 | −1.05365 | −0.526824 | − | 0.849975i | \(-0.676617\pi\) | ||||
−0.526824 | + | 0.849975i | \(0.676617\pi\) | |||||||
\(60\) | −1.73335 | − | 3.78439i | −0.223774 | − | 0.488563i | ||||
\(61\) | −8.43976 | −1.08060 | −0.540300 | − | 0.841472i | \(-0.681689\pi\) | ||||
−0.540300 | + | 0.841472i | \(0.681689\pi\) | |||||||
\(62\) | −3.94684 | + | 10.3012i | −0.501249 | + | 1.30825i | ||||
\(63\) | 4.03533 | − | 4.03533i | 0.508403 | − | 0.508403i | ||||
\(64\) | −4.67786 | + | 6.48981i | −0.584733 | + | 0.811226i | ||||
\(65\) | 0.890305 | − | 2.05118i | 0.110429 | − | 0.254418i | ||||
\(66\) | 0.878045 | + | 1.96879i | 0.108080 | + | 0.242342i | ||||
\(67\) | 1.32687 | + | 1.32687i | 0.162103 | + | 0.162103i | 0.783498 | − | 0.621395i | \(-0.213434\pi\) |
−0.621395 | + | 0.783498i | \(0.713434\pi\) | |||||||
\(68\) | 7.85239 | − | 0.421416i | 0.952242 | − | 0.0511041i | ||||
\(69\) | 1.14304i | 0.137606i | ||||||||
\(70\) | 5.92052 | − | 6.04013i | 0.707637 | − | 0.721934i | ||||
\(71\) | 6.50923i | 0.772504i | 0.922393 | + | 0.386252i | \(0.126230\pi\) | ||||
−0.922393 | + | 0.386252i | \(0.873770\pi\) | |||||||
\(72\) | −5.37205 | + | 2.74996i | −0.633102 | + | 0.324085i | ||||
\(73\) | −4.95717 | − | 4.95717i | −0.580193 | − | 0.580193i | 0.354763 | − | 0.934956i | \(-0.384561\pi\) |
−0.934956 | + | 0.354763i | \(0.884561\pi\) | |||||||
\(74\) | 7.35721 | − | 3.28118i | 0.855258 | − | 0.381429i | ||||
\(75\) | 0.156406 | − | 4.65115i | 0.0180602 | − | 0.537068i | ||||
\(76\) | 5.24966 | + | 4.71489i | 0.602177 | + | 0.540835i | ||||
\(77\) | −3.09733 | + | 3.09733i | −0.352974 | + | 0.352974i | ||||
\(78\) | 1.22916 | + | 0.470943i | 0.139175 | + | 0.0533238i | ||||
\(79\) | 14.6164 | 1.64448 | 0.822238 | − | 0.569143i | \(-0.192725\pi\) | ||||
0.822238 | + | 0.569143i | \(0.192725\pi\) | |||||||
\(80\) | −7.92059 | + | 4.15504i | −0.885548 | + | 0.464547i | ||||
\(81\) | −1.95373 | −0.217081 | ||||||||
\(82\) | 7.25231 | + | 2.77868i | 0.800884 | + | 0.306854i | ||||
\(83\) | −6.57539 | + | 6.57539i | −0.721743 | + | 0.721743i | −0.968960 | − | 0.247217i | \(-0.920484\pi\) |
0.247217 | + | 0.968960i | \(0.420484\pi\) | |||||||
\(84\) | 3.70417 | + | 3.32684i | 0.404158 | + | 0.362988i | ||||
\(85\) | 8.06494 | + | 3.50054i | 0.874765 | + | 0.379687i | ||||
\(86\) | 9.43710 | − | 4.20877i | 1.01763 | − | 0.453843i | ||||
\(87\) | 5.24933 | + | 5.24933i | 0.562787 | + | 0.562787i | ||||
\(88\) | 4.12334 | − | 2.11074i | 0.439549 | − | 0.225006i | ||||
\(89\) | 13.8436i | 1.46742i | 0.679462 | + | 0.733710i | \(0.262213\pi\) | ||||
−0.679462 | + | 0.733710i | \(0.737787\pi\) | |||||||
\(90\) | −6.74700 | + | 0.0674755i | −0.711196 | + | 0.00711254i | ||||
\(91\) | 2.67462i | 0.280376i | ||||||||
\(92\) | 2.45263 | − | 0.131626i | 0.255704 | − | 0.0137229i | ||||
\(93\) | −5.13378 | − | 5.13378i | −0.532348 | − | 0.532348i | ||||
\(94\) | −6.62058 | − | 14.8450i | −0.682860 | − | 1.53114i | ||||
\(95\) | 2.89607 | + | 7.33819i | 0.297130 | + | 0.752883i | ||||
\(96\) | −2.64688 | − | 4.55146i | −0.270146 | − | 0.464532i | ||||
\(97\) | −0.0106669 | + | 0.0106669i | −0.00108306 | + | 0.00108306i | −0.707648 | − | 0.706565i | \(-0.750244\pi\) |
0.706565 | + | 0.707648i | \(0.250244\pi\) | |||||||
\(98\) | −0.0777041 | + | 0.202807i | −0.00784929 | + | 0.0204866i | ||||
\(99\) | 3.49440 | 0.351201 | ||||||||
\(100\) | −9.99800 | + | 0.199996i | −0.999800 | + | 0.0199996i | ||||
\(101\) | −8.35420 | −0.831274 | −0.415637 | − | 0.909531i | \(-0.636441\pi\) | ||||
−0.415637 | + | 0.909531i | \(0.636441\pi\) | |||||||
\(102\) | −1.85168 | + | 4.83285i | −0.183343 | + | 0.478524i | ||||
\(103\) | −12.8239 | + | 12.8239i | −1.26358 | + | 1.26358i | −0.314230 | + | 0.949347i | \(0.601746\pi\) |
−0.949347 | + | 0.314230i | \(0.898254\pi\) | |||||||
\(104\) | 0.868963 | − | 2.69164i | 0.0852088 | − | 0.263937i | ||||
\(105\) | 2.04347 | + | 5.17785i | 0.199423 | + | 0.505306i | ||||
\(106\) | −0.449644 | − | 1.00821i | −0.0436733 | − | 0.0979262i | ||||
\(107\) | 2.23737 | + | 2.23737i | 0.216295 | + | 0.216295i | 0.806935 | − | 0.590640i | \(-0.201125\pi\) |
−0.590640 | + | 0.806935i | \(0.701125\pi\) | |||||||
\(108\) | −0.512130 | − | 9.54270i | −0.0492797 | − | 0.918246i | ||||
\(109\) | − | 4.09811i | − | 0.392528i | −0.980551 | − | 0.196264i | \(-0.937119\pi\) | ||
0.980551 | − | 0.196264i | \(-0.0628809\pi\) | |||||||
\(110\) | 5.17868 | − | 0.0517911i | 0.493768 | − | 0.00493809i | ||||
\(111\) | 5.30182i | 0.503227i | ||||||||
\(112\) | 6.71186 | − | 8.33115i | 0.634211 | − | 0.787220i | ||||
\(113\) | 3.86201 | + | 3.86201i | 0.363308 | + | 0.363308i | 0.865029 | − | 0.501722i | \(-0.167300\pi\) |
−0.501722 | + | 0.865029i | \(0.667300\pi\) | |||||||
\(114\) | −4.24127 | + | 1.89153i | −0.397232 | + | 0.177158i | ||||
\(115\) | 2.51902 | + | 1.09337i | 0.234900 | + | 0.101957i | ||||
\(116\) | 10.6590 | − | 11.8680i | 0.989665 | − | 1.10191i | ||||
\(117\) | 1.50875 | − | 1.50875i | 0.139484 | − | 0.139484i | ||||
\(118\) | −10.6879 | − | 4.09501i | −0.983902 | − | 0.376976i | ||||
\(119\) | −10.5162 | −0.964016 | ||||||||
\(120\) | −0.374232 | − | 5.87471i | −0.0341625 | − | 0.536285i | ||||
\(121\) | 8.31786 | 0.756169 | ||||||||
\(122\) | −11.1455 | − | 4.27035i | −1.00907 | − | 0.386619i | ||||
\(123\) | −3.61431 | + | 3.61431i | −0.325892 | + | 0.325892i | ||||
\(124\) | −10.4244 | + | 11.6067i | −0.936139 | + | 1.04232i | ||||
\(125\) | −10.1005 | − | 4.79370i | −0.903418 | − | 0.428761i | ||||
\(126\) | 7.37084 | − | 3.28726i | 0.656647 | − | 0.292852i | ||||
\(127\) | −2.46133 | − | 2.46133i | −0.218408 | − | 0.218408i | 0.589419 | − | 0.807827i | \(-0.299357\pi\) |
−0.807827 | + | 0.589419i | \(0.799357\pi\) | |||||||
\(128\) | −9.46130 | + | 6.20353i | −0.836269 | + | 0.548320i | ||||
\(129\) | 6.80065i | 0.598764i | ||||||||
\(130\) | 2.21359 | − | 2.25832i | 0.194145 | − | 0.198068i | ||||
\(131\) | 1.40309i | 0.122589i | 0.998120 | + | 0.0612943i | \(0.0195228\pi\) | ||||
−0.998120 | + | 0.0612943i | \(0.980477\pi\) | |||||||
\(132\) | 0.163377 | + | 3.04426i | 0.0142201 | + | 0.264969i | ||||
\(133\) | −6.67242 | − | 6.67242i | −0.578572 | − | 0.578572i | ||||
\(134\) | 1.08089 | + | 2.42363i | 0.0933750 | + | 0.209370i | ||||
\(135\) | 4.25407 | − | 9.80100i | 0.366132 | − | 0.843536i | ||||
\(136\) | 10.5831 | + | 3.41663i | 0.907493 | + | 0.292973i | ||||
\(137\) | −0.493480 | + | 0.493480i | −0.0421609 | + | 0.0421609i | −0.727873 | − | 0.685712i | \(-0.759491\pi\) |
0.685712 | + | 0.727873i | \(0.259491\pi\) | |||||||
\(138\) | −0.578356 | + | 1.50950i | −0.0492329 | + | 0.128497i | ||||
\(139\) | 10.7648 | 0.913056 | 0.456528 | − | 0.889709i | \(-0.349093\pi\) | ||||
0.456528 | + | 0.889709i | \(0.349093\pi\) | |||||||
\(140\) | 10.8748 | − | 4.98094i | 0.919090 | − | 0.420966i | ||||
\(141\) | 10.6977 | 0.900910 | ||||||||
\(142\) | −3.29354 | + | 8.59609i | −0.276388 | + | 0.721368i | ||||
\(143\) | −1.15805 | + | 1.15805i | −0.0968407 | + | 0.0968407i | ||||
\(144\) | −8.48575 | + | 0.913444i | −0.707146 | + | 0.0761203i | ||||
\(145\) | 16.5896 | − | 6.54719i | 1.37769 | − | 0.543714i | ||||
\(146\) | −4.03821 | − | 9.05467i | −0.334205 | − | 0.749370i | ||||
\(147\) | −0.101072 | − | 0.101072i | −0.00833629 | − | 0.00833629i | ||||
\(148\) | 11.3761 | − | 0.610525i | 0.935113 | − | 0.0501849i | ||||
\(149\) | − | 13.1342i | − | 1.07599i | −0.842947 | − | 0.537996i | \(-0.819182\pi\) | ||
0.842947 | − | 0.537996i | \(-0.180818\pi\) | |||||||
\(150\) | 2.55994 | − | 6.06317i | 0.209018 | − | 0.495056i | ||||
\(151\) | 20.5019i | 1.66842i | 0.551443 | + | 0.834212i | \(0.314077\pi\) | ||||
−0.551443 | + | 0.834212i | \(0.685923\pi\) | |||||||
\(152\) | 4.54706 | + | 8.88270i | 0.368815 | + | 0.720482i | ||||
\(153\) | 5.93217 | + | 5.93217i | 0.479588 | + | 0.479588i | ||||
\(154\) | −5.65752 | + | 2.52315i | −0.455896 | + | 0.203321i | ||||
\(155\) | −16.2244 | + | 6.40307i | −1.30318 | + | 0.514307i | ||||
\(156\) | 1.38494 | + | 1.24386i | 0.110884 | + | 0.0995882i | ||||
\(157\) | −3.84213 | + | 3.84213i | −0.306635 | + | 0.306635i | −0.843603 | − | 0.536968i | \(-0.819570\pi\) |
0.536968 | + | 0.843603i | \(0.319570\pi\) | |||||||
\(158\) | 19.3025 | + | 7.39562i | 1.53562 | + | 0.588364i | ||||
\(159\) | 0.726547 | 0.0576189 | ||||||||
\(160\) | −12.5623 | + | 1.47949i | −0.993136 | + | 0.116964i | ||||
\(161\) | −3.28464 | −0.258866 | ||||||||
\(162\) | −2.58010 | − | 0.988549i | −0.202712 | − | 0.0776677i | ||||
\(163\) | −8.79662 | + | 8.79662i | −0.689005 | + | 0.689005i | −0.962012 | − | 0.273007i | \(-0.911982\pi\) |
0.273007 | + | 0.962012i | \(0.411982\pi\) | |||||||
\(164\) | 8.17145 | + | 7.33904i | 0.638083 | + | 0.573083i | ||||
\(165\) | −1.35711 | + | 3.12666i | −0.105651 | + | 0.243411i | ||||
\(166\) | −12.0105 | + | 5.35645i | −0.932194 | + | 0.415741i | ||||
\(167\) | −15.1016 | − | 15.1016i | −1.16859 | − | 1.16859i | −0.982539 | − | 0.186054i | \(-0.940430\pi\) |
−0.186054 | − | 0.982539i | \(-0.559570\pi\) | |||||||
\(168\) | 3.20842 | + | 6.26766i | 0.247535 | + | 0.483560i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | 8.87936 | + | 8.70351i | 0.681015 | + | 0.667529i | ||||
\(171\) | 7.52782i | 0.575667i | ||||||||
\(172\) | 14.5922 | − | 0.783121i | 1.11264 | − | 0.0597124i | ||||
\(173\) | −13.3665 | − | 13.3665i | −1.01624 | − | 1.01624i | −0.999866 | − | 0.0163696i | \(-0.994789\pi\) |
−0.0163696 | − | 0.999866i | \(-0.505211\pi\) | |||||||
\(174\) | 4.27621 | + | 9.58831i | 0.324179 | + | 0.726888i | ||||
\(175\) | 13.3655 | + | 0.449448i | 1.01034 | + | 0.0339751i | ||||
\(176\) | 6.51327 | − | 0.701117i | 0.490956 | − | 0.0528487i | ||||
\(177\) | 5.32650 | − | 5.32650i | 0.400364 | − | 0.400364i | ||||
\(178\) | −7.00459 | + | 18.2819i | −0.525016 | + | 1.37029i | ||||
\(179\) | 12.2037 | 0.912148 | 0.456074 | − | 0.889942i | \(-0.349255\pi\) | ||||
0.456074 | + | 0.889942i | \(0.349255\pi\) | |||||||
\(180\) | −8.94422 | − | 3.32473i | −0.666663 | − | 0.247811i | ||||
\(181\) | −12.8690 | −0.956543 | −0.478271 | − | 0.878212i | \(-0.658736\pi\) | ||||
−0.478271 | + | 0.878212i | \(0.658736\pi\) | |||||||
\(182\) | −1.35330 | + | 3.53210i | −0.100313 | + | 0.261817i | ||||
\(183\) | 5.55457 | − | 5.55457i | 0.410606 | − | 0.410606i | ||||
\(184\) | 3.30554 | + | 1.06716i | 0.243688 | + | 0.0786718i | ||||
\(185\) | 11.6841 | + | 5.07141i | 0.859030 | + | 0.372857i | ||||
\(186\) | −4.18208 | − | 9.37726i | −0.306645 | − | 0.687574i | ||||
\(187\) | −4.55326 | − | 4.55326i | −0.332967 | − | 0.332967i | ||||
\(188\) | −1.23188 | − | 22.9541i | −0.0898443 | − | 1.67410i | ||||
\(189\) | 12.7799i | 0.929600i | ||||||||
\(190\) | 0.111571 | + | 11.1562i | 0.00809420 | + | 0.809354i | ||||
\(191\) | − | 16.8603i | − | 1.21997i | −0.792414 | − | 0.609984i | \(-0.791176\pi\) | ||
0.792414 | − | 0.609984i | \(-0.208824\pi\) | |||||||
\(192\) | −1.19252 | − | 7.34993i | −0.0860626 | − | 0.530436i | ||||
\(193\) | 5.67678 | + | 5.67678i | 0.408624 | + | 0.408624i | 0.881258 | − | 0.472635i | \(-0.156697\pi\) |
−0.472635 | + | 0.881258i | \(0.656697\pi\) | |||||||
\(194\) | −0.0194840 | + | 0.00868950i | −0.00139887 | + | 0.000623870i | ||||
\(195\) | 0.764025 | + | 1.93592i | 0.0547130 | + | 0.138634i | ||||
\(196\) | −0.205232 | + | 0.228510i | −0.0146594 | + | 0.0163221i | ||||
\(197\) | −11.9805 | + | 11.9805i | −0.853578 | + | 0.853578i | −0.990572 | − | 0.136994i | \(-0.956256\pi\) |
0.136994 | + | 0.990572i | \(0.456256\pi\) | |||||||
\(198\) | 4.61471 | + | 1.76810i | 0.327953 | + | 0.125653i | ||||
\(199\) | 13.4943 | 0.956583 | 0.478291 | − | 0.878201i | \(-0.341256\pi\) | ||||
0.478291 | + | 0.878201i | \(0.341256\pi\) | |||||||
\(200\) | −13.3046 | − | 4.79467i | −0.940774 | − | 0.339034i | ||||
\(201\) | −1.74654 | −0.123191 | ||||||||
\(202\) | −11.0326 | − | 4.22705i | −0.776248 | − | 0.297415i | ||||
\(203\) | −15.0844 | + | 15.0844i | −1.05872 | + | 1.05872i | ||||
\(204\) | −4.89065 | + | 5.44535i | −0.342414 | + | 0.381251i | ||||
\(205\) | 4.50793 | + | 11.4224i | 0.314847 | + | 0.797775i | ||||
\(206\) | −23.4239 | + | 10.4466i | −1.63202 | + | 0.727850i | ||||
\(207\) | 1.85286 | + | 1.85286i | 0.128783 | + | 0.128783i | ||||
\(208\) | 2.50947 | − | 3.11490i | 0.174000 | − | 0.215979i | ||||
\(209\) | − | 5.77800i | − | 0.399673i | ||||||
\(210\) | 0.0787247 | + | 7.87182i | 0.00543252 | + | 0.543207i | ||||
\(211\) | − | 22.3207i | − | 1.53662i | −0.640077 | − | 0.768311i | \(-0.721097\pi\) | ||
0.640077 | − | 0.768311i | \(-0.278903\pi\) | |||||||
\(212\) | −0.0836647 | − | 1.55896i | −0.00574612 | − | 0.107070i | ||||
\(213\) | −4.28401 | − | 4.28401i | −0.293535 | − | 0.293535i | ||||
\(214\) | 1.82261 | + | 4.08673i | 0.124591 | + | 0.279363i | ||||
\(215\) | 14.9872 | + | 6.50510i | 1.02212 | + | 0.443644i | ||||
\(216\) | 4.15209 | − | 12.8612i | 0.282514 | − | 0.875095i | ||||
\(217\) | 14.7524 | − | 14.7524i | 1.00146 | − | 1.00146i | ||||
\(218\) | 2.07356 | − | 5.41196i | 0.140439 | − | 0.366544i | ||||
\(219\) | 6.52506 | 0.440923 | ||||||||
\(220\) | 6.86517 | + | 2.55191i | 0.462850 | + | 0.172050i | ||||
\(221\) | −3.93185 | −0.264485 | ||||||||
\(222\) | −2.68261 | + | 7.00159i | −0.180045 | + | 0.469916i | ||||
\(223\) | 15.1774 | − | 15.1774i | 1.01635 | − | 1.01635i | 0.0164909 | − | 0.999864i | \(-0.494751\pi\) |
0.999864 | − | 0.0164909i | \(-0.00524946\pi\) | |||||||
\(224\) | 13.0791 | − | 7.60606i | 0.873882 | − | 0.508201i | ||||
\(225\) | −7.28595 | − | 7.79302i | −0.485730 | − | 0.519535i | ||||
\(226\) | 3.14607 | + | 7.05427i | 0.209274 | + | 0.469243i | ||||
\(227\) | 1.67416 | + | 1.67416i | 0.111118 | + | 0.111118i | 0.760480 | − | 0.649362i | \(-0.224964\pi\) |
−0.649362 | + | 0.760480i | \(0.724964\pi\) | |||||||
\(228\) | −6.55810 | + | 0.351955i | −0.434321 | + | 0.0233088i | ||||
\(229\) | 9.37677i | 0.619634i | 0.950796 | + | 0.309817i | \(0.100268\pi\) | ||||
−0.950796 | + | 0.309817i | \(0.899732\pi\) | |||||||
\(230\) | 2.77339 | + | 2.71847i | 0.182872 | + | 0.179251i | ||||
\(231\) | − | 4.07698i | − | 0.268245i | ||||||
\(232\) | 20.0813 | − | 10.2796i | 1.31840 | − | 0.674889i | ||||
\(233\) | 16.0668 | + | 16.0668i | 1.05257 | + | 1.05257i | 0.998539 | + | 0.0540344i | \(0.0172081\pi\) |
0.0540344 | + | 0.998539i | \(0.482792\pi\) | |||||||
\(234\) | 2.75585 | − | 1.22906i | 0.180156 | − | 0.0803460i | ||||
\(235\) | 10.2328 | − | 23.5755i | 0.667514 | − | 1.53789i | ||||
\(236\) | −12.0425 | − | 10.8157i | −0.783898 | − | 0.704044i | ||||
\(237\) | −9.61971 | + | 9.61971i | −0.624867 | + | 0.624867i | ||||
\(238\) | −13.8877 | − | 5.32097i | −0.900204 | − | 0.344907i | ||||
\(239\) | −19.5885 | −1.26707 | −0.633537 | − | 0.773712i | \(-0.718398\pi\) | ||||
−0.633537 | + | 0.773712i | \(0.718398\pi\) | |||||||
\(240\) | 2.47827 | − | 7.94749i | 0.159972 | − | 0.513008i | ||||
\(241\) | −0.764560 | −0.0492496 | −0.0246248 | − | 0.999697i | \(-0.507839\pi\) | ||||
−0.0246248 | + | 0.999697i | \(0.507839\pi\) | |||||||
\(242\) | 10.9846 | + | 4.20867i | 0.706114 | + | 0.270543i | ||||
\(243\) | 11.4220 | − | 11.4220i | 0.732719 | − | 0.732719i | ||||
\(244\) | −12.5581 | − | 11.2788i | −0.803950 | − | 0.722054i | ||||
\(245\) | −0.319421 | + | 0.126062i | −0.0204070 | + | 0.00805377i | ||||
\(246\) | −6.60183 | + | 2.94429i | −0.420917 | + | 0.187721i | ||||
\(247\) | −2.49472 | − | 2.49472i | −0.158735 | − | 0.158735i | ||||
\(248\) | −19.6392 | + | 10.0533i | −1.24709 | + | 0.638388i | ||||
\(249\) | − | 8.65511i | − | 0.548495i | ||||||
\(250\) | −10.9132 | − | 11.4412i | −0.690213 | − | 0.723606i | ||||
\(251\) | − | 4.66905i | − | 0.294708i | −0.989084 | − | 0.147354i | \(-0.952924\pi\) | ||
0.989084 | − | 0.147354i | \(-0.0470756\pi\) | |||||||
\(252\) | 11.3972 | − | 0.611657i | 0.717958 | − | 0.0385308i | ||||
\(253\) | −1.42217 | − | 1.42217i | −0.0894113 | − | 0.0894113i | ||||
\(254\) | −2.00505 | − | 4.49582i | −0.125808 | − | 0.282093i | ||||
\(255\) | −7.61175 | + | 3.00403i | −0.476666 | + | 0.188120i | ||||
\(256\) | −15.6335 | + | 3.40516i | −0.977091 | + | 0.212823i | ||||
\(257\) | 8.66539 | − | 8.66539i | 0.540532 | − | 0.540532i | −0.383153 | − | 0.923685i | \(-0.625162\pi\) |
0.923685 | + | 0.383153i | \(0.125162\pi\) | |||||||
\(258\) | −3.44099 | + | 8.98094i | −0.214227 | + | 0.559129i | ||||
\(259\) | −15.2353 | −0.946675 | ||||||||
\(260\) | 4.06594 | − | 1.86230i | 0.252159 | − | 0.115495i | ||||
\(261\) | 17.0183 | 1.05340 | ||||||||
\(262\) | −0.709935 | + | 1.85292i | −0.0438599 | + | 0.114474i | ||||
\(263\) | −7.99625 | + | 7.99625i | −0.493070 | + | 0.493070i | −0.909272 | − | 0.416202i | \(-0.863361\pi\) |
0.416202 | + | 0.909272i | \(0.363361\pi\) | |||||||
\(264\) | −1.32458 | + | 4.10292i | −0.0815222 | + | 0.252517i | ||||
\(265\) | 0.694972 | − | 1.60115i | 0.0426918 | − | 0.0983581i | ||||
\(266\) | −5.43549 | − | 12.1877i | −0.333271 | − | 0.747276i | ||||
\(267\) | −9.11109 | − | 9.11109i | −0.557590 | − | 0.557590i | ||||
\(268\) | 0.201121 | + | 3.74756i | 0.0122854 | + | 0.228918i | ||||
\(269\) | − | 20.9021i | − | 1.27442i | −0.770689 | − | 0.637211i | \(-0.780088\pi\) | ||
0.770689 | − | 0.637211i | \(-0.219912\pi\) | |||||||
\(270\) | 10.5770 | − | 10.7907i | 0.643698 | − | 0.656703i | ||||
\(271\) | − | 21.2210i | − | 1.28908i | −0.764570 | − | 0.644541i | \(-0.777049\pi\) | ||
0.764570 | − | 0.644541i | \(-0.222951\pi\) | |||||||
\(272\) | 12.2473 | + | 9.86683i | 0.742601 | + | 0.598265i | ||||
\(273\) | −1.76028 | − | 1.76028i | −0.106537 | − | 0.106537i | ||||
\(274\) | −0.901381 | + | 0.401999i | −0.0544544 | + | 0.0242856i | ||||
\(275\) | 5.59236 | + | 5.98156i | 0.337232 | + | 0.360702i | ||||
\(276\) | −1.52755 | + | 1.70081i | −0.0919479 | + | 0.102377i | ||||
\(277\) | 10.6769 | − | 10.6769i | 0.641511 | − | 0.641511i | −0.309415 | − | 0.950927i | \(-0.600133\pi\) |
0.950927 | + | 0.309415i | \(0.100133\pi\) | |||||||
\(278\) | 14.2160 | + | 5.44676i | 0.852617 | + | 0.326675i | ||||
\(279\) | −16.6437 | −0.996430 | ||||||||
\(280\) | 16.8815 | − | 1.07539i | 1.00886 | − | 0.0642669i | ||||
\(281\) | −26.8589 | −1.60227 | −0.801135 | − | 0.598484i | \(-0.795770\pi\) | ||||
−0.801135 | + | 0.598484i | \(0.795770\pi\) | |||||||
\(282\) | 14.1274 | + | 5.41283i | 0.841275 | + | 0.322329i | ||||
\(283\) | 5.29625 | − | 5.29625i | 0.314829 | − | 0.314829i | −0.531948 | − | 0.846777i | \(-0.678540\pi\) |
0.846777 | + | 0.531948i | \(0.178540\pi\) | |||||||
\(284\) | −8.69890 | + | 9.68554i | −0.516185 | + | 0.574731i | ||||
\(285\) | −6.73561 | − | 2.92356i | −0.398983 | − | 0.173177i | ||||
\(286\) | −2.11526 | + | 0.943368i | −0.125078 | + | 0.0557825i | ||||
\(287\) | −10.3861 | − | 10.3861i | −0.613071 | − | 0.613071i | ||||
\(288\) | −11.6685 | − | 3.08733i | −0.687571 | − | 0.181922i | ||||
\(289\) | 1.54059i | 0.0906230i | ||||||||
\(290\) | 25.2209 | − | 0.252230i | 1.48102 | − | 0.0148115i | ||||
\(291\) | − | 0.0140407i | − | 0.000823083i | ||||||
\(292\) | −0.751386 | − | 14.0008i | −0.0439715 | − | 0.819338i | ||||
\(293\) | −12.1353 | − | 12.1353i | −0.708953 | − | 0.708953i | 0.257362 | − | 0.966315i | \(-0.417147\pi\) |
−0.966315 | + | 0.257362i | \(0.917147\pi\) | |||||||
\(294\) | −0.0823354 | − | 0.184616i | −0.00480190 | − | 0.0107670i | ||||
\(295\) | −6.64344 | − | 16.8335i | −0.386796 | − | 0.980083i | ||||
\(296\) | 15.3322 | + | 4.94984i | 0.891169 | + | 0.287703i | ||||
\(297\) | −5.53339 | + | 5.53339i | −0.321080 | + | 0.321080i | ||||
\(298\) | 6.64562 | − | 17.3450i | 0.384970 | − | 1.00477i | ||||
\(299\) | −1.22808 | −0.0710217 | ||||||||
\(300\) | 6.44849 | − | 6.71175i | 0.372304 | − | 0.387503i | ||||
\(301\) | −19.5423 | −1.12640 | ||||||||
\(302\) | −10.3736 | + | 27.0749i | −0.596932 | + | 1.55798i | ||||
\(303\) | 5.49826 | − | 5.49826i | 0.315867 | − | 0.315867i | ||||
\(304\) | 1.51038 | + | 14.0312i | 0.0866263 | + | 0.804745i | ||||
\(305\) | −6.92790 | − | 17.5542i | −0.396691 | − | 1.00515i | ||||
\(306\) | 4.83247 | + | 10.8356i | 0.276254 | + | 0.619429i | ||||
\(307\) | 16.9432 | + | 16.9432i | 0.966997 | + | 0.966997i | 0.999473 | − | 0.0324756i | \(-0.0103391\pi\) |
−0.0324756 | + | 0.999473i | \(0.510339\pi\) | |||||||
\(308\) | −8.74798 | + | 0.469480i | −0.498463 | + | 0.0267511i | ||||
\(309\) | − | 16.8799i | − | 0.960266i | ||||||
\(310\) | −24.6658 | + | 0.246678i | −1.40092 | + | 0.0140104i | ||||
\(311\) | − | 2.12910i | − | 0.120730i | −0.998176 | − | 0.0603652i | \(-0.980773\pi\) | ||
0.998176 | − | 0.0603652i | \(-0.0192265\pi\) | |||||||
\(312\) | 1.19958 | + | 2.34339i | 0.0679129 | + | 0.132668i | ||||
\(313\) | 19.7564 | + | 19.7564i | 1.11670 | + | 1.11670i | 0.992223 | + | 0.124474i | \(0.0397242\pi\) |
0.124474 | + | 0.992223i | \(0.460276\pi\) | |||||||
\(314\) | −7.01795 | + | 3.12988i | −0.396046 | + | 0.176629i | ||||
\(315\) | 11.7057 | + | 5.08081i | 0.659543 | + | 0.286271i | ||||
\(316\) | 21.7488 | + | 19.5333i | 1.22347 | + | 1.09883i | ||||
\(317\) | 5.16186 | − | 5.16186i | 0.289919 | − | 0.289919i | −0.547129 | − | 0.837048i | \(-0.684279\pi\) |
0.837048 | + | 0.547129i | \(0.184279\pi\) | |||||||
\(318\) | 0.959478 | + | 0.367618i | 0.0538049 | + | 0.0206150i | ||||
\(319\) | −13.0624 | −0.731356 | ||||||||
\(320\) | −17.3384 | − | 4.40245i | −0.969243 | − | 0.246105i | ||||
\(321\) | −2.94502 | −0.164375 | ||||||||
\(322\) | −4.33770 | − | 1.66196i | −0.241730 | − | 0.0926175i | ||||
\(323\) | 9.80886 | − | 9.80886i | 0.545779 | − | 0.545779i | ||||
\(324\) | −2.90709 | − | 2.61096i | −0.161505 | − | 0.145053i | ||||
\(325\) | 4.99718 | + | 0.168042i | 0.277193 | + | 0.00932130i | ||||
\(326\) | −16.0677 | + | 7.16591i | −0.889909 | + | 0.396883i | ||||
\(327\) | 2.69714 | + | 2.69714i | 0.149152 | + | 0.149152i | ||||
\(328\) | 7.07781 | + | 13.8265i | 0.390806 | + | 0.763442i | ||||
\(329\) | 30.7409i | 1.69480i | ||||||||
\(330\) | −3.37423 | + | 3.44240i | −0.185745 | + | 0.189498i | ||||
\(331\) | − | 7.47804i | − | 0.411030i | −0.978654 | − | 0.205515i | \(-0.934113\pi\) | ||
0.978654 | − | 0.205515i | \(-0.0658869\pi\) | |||||||
\(332\) | −18.5713 | + | 0.996669i | −1.01923 | + | 0.0546993i | ||||
\(333\) | 8.59422 | + | 8.59422i | 0.470961 | + | 0.470961i | ||||
\(334\) | −12.3020 | − | 27.5842i | −0.673138 | − | 1.50934i | ||||
\(335\) | −1.67064 | + | 3.84899i | −0.0912765 | + | 0.210293i | ||||
\(336\) | 1.06573 | + | 9.90046i | 0.0581403 | + | 0.540114i | ||||
\(337\) | 16.1356 | − | 16.1356i | 0.878963 | − | 0.878963i | −0.114464 | − | 0.993427i | \(-0.536515\pi\) |
0.993427 | + | 0.114464i | \(0.0365152\pi\) | |||||||
\(338\) | −0.505980 | + | 1.32060i | −0.0275217 | + | 0.0718312i | ||||
\(339\) | −5.08352 | −0.276099 | ||||||||
\(340\) | 7.32228 | + | 15.9866i | 0.397106 | + | 0.866997i | ||||
\(341\) | 12.7749 | 0.691800 | ||||||||
\(342\) | −3.80892 | + | 9.94124i | −0.205963 | + | 0.537560i | ||||
\(343\) | −12.9482 | + | 12.9482i | −0.699139 | + | 0.699139i | ||||
\(344\) | 19.6667 | + | 6.34916i | 1.06036 | + | 0.342324i | ||||
\(345\) | −2.37747 | + | 0.938283i | −0.127998 | + | 0.0505155i | ||||
\(346\) | −10.8886 | − | 24.4150i | −0.585376 | − | 1.31256i | ||||
\(347\) | 1.13829 | + | 1.13829i | 0.0611068 | + | 0.0611068i | 0.737000 | − | 0.675893i | \(-0.236242\pi\) |
−0.675893 | + | 0.737000i | \(0.736242\pi\) | |||||||
\(348\) | 0.795670 | + | 14.8260i | 0.0426524 | + | 0.794757i | ||||
\(349\) | 28.5647i | 1.52903i | 0.644604 | + | 0.764517i | \(0.277022\pi\) | ||||
−0.644604 | + | 0.764517i | \(0.722978\pi\) | |||||||
\(350\) | 17.4231 | + | 7.35623i | 0.931304 | + | 0.393207i | ||||
\(351\) | 4.77821i | 0.255042i | ||||||||
\(352\) | 8.95618 | + | 2.36969i | 0.477366 | + | 0.126305i | ||||
\(353\) | 18.0473 | + | 18.0473i | 0.960558 | + | 0.960558i | 0.999251 | − | 0.0386928i | \(-0.0123194\pi\) |
−0.0386928 | + | 0.999251i | \(0.512319\pi\) | |||||||
\(354\) | 9.72928 | − | 4.33908i | 0.517105 | − | 0.230619i | ||||
\(355\) | −13.5389 | + | 5.34320i | −0.718568 | + | 0.283588i | ||||
\(356\) | −18.5005 | + | 20.5989i | −0.980526 | + | 1.09174i | ||||
\(357\) | 6.92115 | − | 6.92115i | 0.366306 | − | 0.366306i | ||||
\(358\) | 16.1162 | + | 6.17483i | 0.851769 | + | 0.326350i | ||||
\(359\) | 6.18564 | 0.326466 | 0.163233 | − | 0.986588i | \(-0.447808\pi\) | ||||
0.163233 | + | 0.986588i | \(0.447808\pi\) | |||||||
\(360\) | −10.1295 | − | 8.91624i | −0.533871 | − | 0.469927i | ||||
\(361\) | −6.55274 | −0.344881 | ||||||||
\(362\) | −16.9948 | − | 6.51143i | −0.893225 | − | 0.342233i | ||||
\(363\) | −5.47434 | + | 5.47434i | −0.287329 | + | 0.287329i | ||||
\(364\) | −3.57434 | + | 3.97975i | −0.187346 | + | 0.208595i | ||||
\(365\) | 6.24148 | − | 14.3798i | 0.326694 | − | 0.752674i | ||||
\(366\) | 10.1459 | − | 4.52487i | 0.530333 | − | 0.236519i | ||||
\(367\) | 19.2253 | + | 19.2253i | 1.00355 | + | 1.00355i | 0.999994 | + | 0.00355779i | \(0.00113248\pi\) |
0.00355779 | + | 0.999994i | \(0.498868\pi\) | |||||||
\(368\) | 3.82534 | + | 3.08182i | 0.199410 | + | 0.160651i | ||||
\(369\) | 11.7176i | 0.609992i | ||||||||
\(370\) | 12.8640 | + | 12.6092i | 0.668765 | + | 0.655521i | ||||
\(371\) | 2.08780i | 0.108393i | ||||||||
\(372\) | −0.778156 | − | 14.4997i | −0.0403455 | − | 0.751772i | ||||
\(373\) | 13.1719 | + | 13.1719i | 0.682016 | + | 0.682016i | 0.960454 | − | 0.278438i | \(-0.0898166\pi\) |
−0.278438 | + | 0.960454i | \(0.589817\pi\) | |||||||
\(374\) | −3.70918 | − | 8.31689i | −0.191797 | − | 0.430056i | ||||
\(375\) | 9.80253 | − | 3.49265i | 0.506201 | − | 0.180360i | ||||
\(376\) | 9.98750 | − | 30.9365i | 0.515066 | − | 1.59543i | ||||
\(377\) | −5.63986 | + | 5.63986i | −0.290467 | + | 0.290467i | ||||
\(378\) | −6.46636 | + | 16.8771i | −0.332594 | + | 0.868066i | ||||
\(379\) | −6.67592 | −0.342919 | −0.171460 | − | 0.985191i | \(-0.554848\pi\) | ||||
−0.171460 | + | 0.985191i | \(0.554848\pi\) | |||||||
\(380\) | −5.49746 | + | 14.7893i | −0.282014 | + | 0.758675i | ||||
\(381\) | 3.23982 | 0.165981 | ||||||||
\(382\) | 8.53096 | − | 22.2657i | 0.436482 | − | 1.13921i | ||||
\(383\) | −18.1276 | + | 18.1276i | −0.926279 | + | 0.926279i | −0.997463 | − | 0.0711841i | \(-0.977322\pi\) |
0.0711841 | + | 0.997463i | \(0.477322\pi\) | |||||||
\(384\) | 2.14408 | − | 10.3097i | 0.109414 | − | 0.526115i | ||||
\(385\) | −8.98477 | − | 3.89979i | −0.457906 | − | 0.198752i | ||||
\(386\) | 4.62442 | + | 10.3691i | 0.235377 | + | 0.527773i | ||||
\(387\) | 11.0238 | + | 11.0238i | 0.560372 | + | 0.560372i | ||||
\(388\) | −0.0301273 | + | 0.00161685i | −0.00152948 | + | 8.20829e-5i | ||||
\(389\) | − | 35.4186i | − | 1.79579i | −0.440205 | − | 0.897897i | \(-0.645094\pi\) | ||
0.440205 | − | 0.897897i | \(-0.354906\pi\) | |||||||
\(390\) | 0.0294340 | + | 2.94316i | 0.00149045 | + | 0.149033i | ||||
\(391\) | − | 4.82862i | − | 0.244194i | ||||||
\(392\) | −0.386651 | + | 0.197927i | −0.0195288 | + | 0.00999681i | ||||
\(393\) | −0.923435 | − | 0.923435i | −0.0465811 | − | 0.0465811i | ||||
\(394\) | −21.8834 | + | 9.75959i | −1.10247 | + | 0.491681i | ||||
\(395\) | 11.9981 | + | 30.4014i | 0.603691 | + | 1.52966i | ||||
\(396\) | 5.19957 | + | 4.66990i | 0.261288 | + | 0.234671i | ||||
\(397\) | −9.88325 | + | 9.88325i | −0.496026 | + | 0.496026i | −0.910199 | − | 0.414172i | \(-0.864071\pi\) |
0.414172 | + | 0.910199i | \(0.364071\pi\) | |||||||
\(398\) | 17.8205 | + | 6.82782i | 0.893262 | + | 0.342248i | ||||
\(399\) | 8.78282 | 0.439691 | ||||||||
\(400\) | −15.1440 | − | 13.0637i | −0.757199 | − | 0.653184i | ||||
\(401\) | 10.1583 | 0.507281 | 0.253641 | − | 0.967299i | \(-0.418372\pi\) | ||||
0.253641 | + | 0.967299i | \(0.418372\pi\) | |||||||
\(402\) | −2.30648 | − | 0.883713i | −0.115037 | − | 0.0440756i | ||||
\(403\) | 5.51571 | − | 5.51571i | 0.274757 | − | 0.274757i | ||||
\(404\) | −12.4308 | − | 11.1645i | −0.618455 | − | 0.555454i | ||||
\(405\) | −1.60375 | − | 4.06366i | −0.0796910 | − | 0.201925i | ||||
\(406\) | −27.5529 | + | 12.2881i | −1.36743 | + | 0.609848i | ||||
\(407\) | −6.59653 | − | 6.59653i | −0.326978 | − | 0.326978i | ||||
\(408\) | −9.21383 | + | 4.71656i | −0.456153 | + | 0.233505i | ||||
\(409\) | 5.50011i | 0.271963i | 0.990711 | + | 0.135982i | \(0.0434188\pi\) | ||||
−0.990711 | + | 0.135982i | \(0.956581\pi\) | |||||||
\(410\) | 0.173668 | + | 17.3653i | 0.00857684 | + | 0.857613i | ||||
\(411\) | − | 0.649562i | − | 0.0320405i | ||||||
\(412\) | −36.2194 | + | 1.94379i | −1.78440 | + | 0.0957637i | ||||
\(413\) | 15.3062 | + | 15.3062i | 0.753170 | + | 0.753170i | ||||
\(414\) | 1.50938 | + | 3.38440i | 0.0741820 | + | 0.166334i | ||||
\(415\) | −19.0740 | − | 8.27896i | −0.936305 | − | 0.406398i | ||||
\(416\) | 4.89008 | − | 2.84379i | 0.239756 | − | 0.139428i | ||||
\(417\) | −7.08477 | + | 7.08477i | −0.346943 | + | 0.346943i | ||||
\(418\) | 2.92355 | − | 7.63043i | 0.142996 | − | 0.373217i | ||||
\(419\) | −18.5620 | −0.906815 | −0.453407 | − | 0.891303i | \(-0.649792\pi\) | ||||
−0.453407 | + | 0.891303i | \(0.649792\pi\) | |||||||
\(420\) | −3.87902 | + | 10.4354i | −0.189277 | + | 0.509194i | ||||
\(421\) | 10.2994 | 0.501962 | 0.250981 | − | 0.967992i | \(-0.419247\pi\) | ||||
0.250981 | + | 0.967992i | \(0.419247\pi\) | |||||||
\(422\) | 11.2938 | − | 29.4768i | 0.549775 | − | 1.43491i | ||||
\(423\) | 17.3409 | − | 17.3409i | 0.843145 | − | 0.843145i | ||||
\(424\) | 0.678312 | − | 2.10109i | 0.0329417 | − | 0.102038i | ||||
\(425\) | −0.660716 | + | 19.6481i | −0.0320494 | + | 0.953074i | ||||
\(426\) | −3.48984 | − | 7.82509i | −0.169083 | − | 0.379127i | ||||
\(427\) | 15.9616 | + | 15.9616i | 0.772436 | + | 0.772436i | ||||
\(428\) | 0.339130 | + | 6.31914i | 0.0163925 | + | 0.305447i | ||||
\(429\) | − | 1.52432i | − | 0.0735950i | ||||||
\(430\) | 16.5006 | + | 16.1738i | 0.795730 | + | 0.779971i | ||||
\(431\) | 13.4505i | 0.647889i | 0.946076 | + | 0.323944i | \(0.105009\pi\) | ||||
−0.946076 | + | 0.323944i | \(0.894991\pi\) | |||||||
\(432\) | 11.9908 | − | 14.8836i | 0.576906 | − | 0.716090i | ||||
\(433\) | −5.29244 | − | 5.29244i | −0.254338 | − | 0.254338i | 0.568408 | − | 0.822747i | \(-0.307559\pi\) |
−0.822747 | + | 0.568408i | \(0.807559\pi\) | |||||||
\(434\) | 26.9465 | − | 12.0176i | 1.29347 | − | 0.576864i | ||||
\(435\) | −6.60933 | + | 15.2273i | −0.316893 | + | 0.730094i | ||||
\(436\) | 5.47669 | − | 6.09786i | 0.262286 | − | 0.292035i | ||||
\(437\) | 3.06371 | − | 3.06371i | 0.146557 | − | 0.146557i | ||||
\(438\) | 8.61700 | + | 3.30155i | 0.411736 | + | 0.157754i | ||||
\(439\) | −5.70933 | −0.272491 | −0.136246 | − | 0.990675i | \(-0.543504\pi\) | ||||
−0.136246 | + | 0.990675i | \(0.543504\pi\) | |||||||
\(440\) | 7.77493 | + | 6.84369i | 0.370655 | + | 0.326260i | ||||
\(441\) | −0.327675 | −0.0156036 | ||||||||
\(442\) | −5.19240 | − | 1.98943i | −0.246977 | − | 0.0946277i | ||||
\(443\) | 21.3935 | − | 21.3935i | 1.01644 | − | 1.01644i | 0.0165752 | − | 0.999863i | \(-0.494724\pi\) |
0.999863 | − | 0.0165752i | \(-0.00527628\pi\) | |||||||
\(444\) | −7.08532 | + | 7.88895i | −0.336255 | + | 0.374393i | ||||
\(445\) | −28.7940 | + | 11.3637i | −1.36497 | + | 0.538693i | ||||
\(446\) | 27.7228 | − | 12.3638i | 1.31271 | − | 0.585444i | ||||
\(447\) | 8.64416 | + | 8.64416i | 0.408855 | + | 0.408855i | ||||
\(448\) | 21.1207 | − | 3.42682i | 0.997861 | − | 0.161902i | ||||
\(449\) | − | 2.92123i | − | 0.137861i | −0.997621 | − | 0.0689307i | \(-0.978041\pi\) | ||
0.997621 | − | 0.0689307i | \(-0.0219587\pi\) | |||||||
\(450\) | −5.67872 | − | 13.9780i | −0.267697 | − | 0.658930i | ||||
\(451\) | − | 8.99386i | − | 0.423504i | ||||||
\(452\) | 0.585387 | + | 10.9077i | 0.0275343 | + | 0.513056i | ||||
\(453\) | −13.4932 | − | 13.4932i | −0.633967 | − | 0.633967i | ||||
\(454\) | 1.36380 | + | 3.05798i | 0.0640064 | + | 0.143518i | ||||
\(455\) | −5.56306 | + | 2.19550i | −0.260800 | + | 0.102927i | ||||
\(456\) | −8.83871 | − | 2.85347i | −0.413910 | − | 0.133626i | ||||
\(457\) | −23.3601 | + | 23.3601i | −1.09274 | + | 1.09274i | −0.0975018 | + | 0.995235i | \(0.531085\pi\) |
−0.995235 | + | 0.0975018i | \(0.968915\pi\) | |||||||
\(458\) | −4.74445 | + | 12.3830i | −0.221694 | + | 0.578618i | ||||
\(459\) | −18.7872 | −0.876911 | ||||||||
\(460\) | 2.28705 | + | 4.99329i | 0.106634 | + | 0.232813i | ||||
\(461\) | 11.0916 | 0.516586 | 0.258293 | − | 0.966067i | \(-0.416840\pi\) | ||||
0.258293 | + | 0.966067i | \(0.416840\pi\) | |||||||
\(462\) | 2.06287 | − | 5.38405i | 0.0959732 | − | 0.250489i | ||||
\(463\) | −13.4705 | + | 13.4705i | −0.626026 | + | 0.626026i | −0.947066 | − | 0.321040i | \(-0.895968\pi\) |
0.321040 | + | 0.947066i | \(0.395968\pi\) | |||||||
\(464\) | 31.7206 | − | 3.41454i | 1.47259 | − | 0.158516i | ||||
\(465\) | 6.46385 | − | 14.8921i | 0.299754 | − | 0.690606i | ||||
\(466\) | 13.0884 | + | 29.3474i | 0.606307 | + | 1.35949i | ||||
\(467\) | 7.11784 | + | 7.11784i | 0.329374 | + | 0.329374i | 0.852348 | − | 0.522974i | \(-0.175178\pi\) |
−0.522974 | + | 0.852348i | \(0.675178\pi\) | |||||||
\(468\) | 4.26126 | − | 0.228690i | 0.196977 | − | 0.0105712i | ||||
\(469\) | − | 5.01885i | − | 0.231749i | ||||||
\(470\) | 25.4421 | − | 25.9562i | 1.17356 | − | 1.19727i | ||||
\(471\) | − | 5.05735i | − | 0.233030i | ||||||
\(472\) | −10.4307 | − | 20.3765i | −0.480114 | − | 0.937904i | ||||
\(473\) | −8.46137 | − | 8.46137i | −0.389054 | − | 0.389054i | ||||
\(474\) | −17.5712 | + | 7.83641i | −0.807070 | + | 0.359938i | ||||
\(475\) | −12.8858 | + | 12.0473i | −0.591240 | + | 0.552770i | ||||
\(476\) | −15.6477 | − | 14.0538i | −0.717213 | − | 0.644153i | ||||
\(477\) | 1.17773 | − | 1.17773i | 0.0539245 | − | 0.0539245i | ||||
\(478\) | −25.8686 | − | 9.91138i | −1.18320 | − | 0.453336i | ||||
\(479\) | 36.7990 | 1.68139 | 0.840695 | − | 0.541508i | \(-0.182147\pi\) | ||||
0.840695 | + | 0.541508i | \(0.182147\pi\) | |||||||
\(480\) | 7.29408 | − | 9.24150i | 0.332928 | − | 0.421815i | ||||
\(481\) | −5.69626 | −0.259727 | ||||||||
\(482\) | −1.00968 | − | 0.386852i | −0.0459896 | − | 0.0176206i | ||||
\(483\) | 2.16177 | − | 2.16177i | 0.0983637 | − | 0.0983637i | ||||
\(484\) | 12.3767 | + | 11.1159i | 0.562578 | + | 0.505270i | ||||
\(485\) | −0.0309428 | − | 0.0134305i | −0.00140504 | − | 0.000609850i | ||||
\(486\) | 20.8631 | − | 9.30456i | 0.946370 | − | 0.422063i | ||||
\(487\) | 0.572155 | + | 0.572155i | 0.0259268 | + | 0.0259268i | 0.719951 | − | 0.694025i | \(-0.244164\pi\) |
−0.694025 | + | 0.719951i | \(0.744164\pi\) | |||||||
\(488\) | −10.8774 | − | 21.2490i | −0.492395 | − | 0.961896i | ||||
\(489\) | − | 11.5789i | − | 0.523615i | ||||||
\(490\) | −0.485611 | + | 0.00485651i | −0.0219377 | + | 0.000219395i | ||||
\(491\) | 7.77959i | 0.351088i | 0.984472 | + | 0.175544i | \(0.0561684\pi\) | ||||
−0.984472 | + | 0.175544i | \(0.943832\pi\) | |||||||
\(492\) | −10.2081 | + | 0.547841i | −0.460218 | + | 0.0246986i | ||||
\(493\) | −22.1750 | − | 22.1750i | −0.998714 | − | 0.998714i | ||||
\(494\) | −2.03225 | − | 4.55681i | −0.0914353 | − | 0.205020i | ||||
\(495\) | 2.86844 | + | 7.26818i | 0.128927 | + | 0.326680i | ||||
\(496\) | −31.0224 | + | 3.33938i | −1.39295 | + | 0.149943i | ||||
\(497\) | 12.3105 | − | 12.3105i | 0.552202 | − | 0.552202i | ||||
\(498\) | 4.37931 | − | 11.4299i | 0.196241 | − | 0.512188i | ||||
\(499\) | 2.74891 | 0.123058 | 0.0615291 | − | 0.998105i | \(-0.480402\pi\) | ||||
0.0615291 | + | 0.998105i | \(0.480402\pi\) | |||||||
\(500\) | −8.62299 | − | 20.6311i | −0.385632 | − | 0.922653i | ||||
\(501\) | 19.8780 | 0.888083 | ||||||||
\(502\) | 2.36244 | − | 6.16595i | 0.105441 | − | 0.275200i | ||||
\(503\) | −12.1149 | + | 12.1149i | −0.540178 | + | 0.540178i | −0.923581 | − | 0.383403i | \(-0.874752\pi\) |
0.383403 | + | 0.923581i | \(0.374752\pi\) | |||||||
\(504\) | 15.3607 | + | 4.95901i | 0.684218 | + | 0.220892i | ||||
\(505\) | −6.85767 | − | 17.3763i | −0.305162 | − | 0.773235i | ||||
\(506\) | −1.15853 | − | 2.59771i | −0.0515030 | − | 0.115482i | ||||
\(507\) | −0.658144 | − | 0.658144i | −0.0292292 | − | 0.0292292i | ||||
\(508\) | −0.373078 | − | 6.95170i | −0.0165527 | − | 0.308432i | ||||
\(509\) | 19.3655i | 0.858361i | 0.903219 | + | 0.429180i | \(0.141198\pi\) | ||||
−0.903219 | + | 0.429180i | \(0.858802\pi\) | |||||||
\(510\) | −11.5721 | + | 0.115730i | −0.512419 | + | 0.00512461i | ||||
\(511\) | 18.7504i | 0.829469i | ||||||||
\(512\) | −22.3685 | − | 3.41335i | −0.988557 | − | 0.150850i | ||||
\(513\) | −11.9203 | − | 11.9203i | −0.526295 | − | 0.526295i | ||||
\(514\) | 15.8280 | − | 7.05900i | 0.698144 | − | 0.311359i | ||||
\(515\) | −37.1997 | − | 16.1463i | −1.63922 | − | 0.711493i | ||||
\(516\) | −9.08834 | + | 10.1192i | −0.400092 | + | 0.445471i | ||||
\(517\) | −13.3101 | + | 13.3101i | −0.585378 | + | 0.585378i | ||||
\(518\) | −20.1197 | − | 7.70875i | −0.884011 | − | 0.338703i | ||||
\(519\) | 17.5941 | 0.772297 | ||||||||
\(520\) | 6.31176 | − | 0.402073i | 0.276789 | − | 0.0176321i | ||||
\(521\) | −35.2285 | −1.54339 | −0.771695 | − | 0.635993i | \(-0.780591\pi\) | ||||
−0.771695 | + | 0.635993i | \(0.780591\pi\) | |||||||
\(522\) | 22.4743 | + | 8.61089i | 0.983674 | + | 0.376889i | ||||
\(523\) | −17.8598 | + | 17.8598i | −0.780954 | + | 0.780954i | −0.979992 | − | 0.199038i | \(-0.936218\pi\) |
0.199038 | + | 0.979992i | \(0.436218\pi\) | |||||||
\(524\) | −1.87508 | + | 2.08775i | −0.0819133 | + | 0.0912040i | ||||
\(525\) | −9.09224 | + | 8.50063i | −0.396818 | + | 0.370998i | ||||
\(526\) | −14.6058 | + | 6.51390i | −0.636842 | + | 0.284020i | ||||
\(527\) | 21.6869 | + | 21.6869i | 0.944698 | + | 0.944698i | ||||
\(528\) | −3.82523 | + | 4.74811i | −0.166472 | + | 0.206635i | ||||
\(529\) | 21.4918i | 0.934427i | ||||||||
\(530\) | 1.72793 | − | 1.76284i | 0.0750565 | − | 0.0765729i | ||||
\(531\) | − | 17.2685i | − | 0.749387i | ||||||
\(532\) | −1.01138 | − | 18.8453i | −0.0438487 | − | 0.817049i | ||||
\(533\) | −3.88320 | − | 3.88320i | −0.168200 | − | 0.168200i | ||||
\(534\) | −7.42208 | − | 16.6421i | −0.321185 | − | 0.720175i | ||||
\(535\) | −2.81703 | + | 6.49018i | −0.121791 | + | 0.280595i | ||||
\(536\) | −1.63059 | + | 5.05079i | −0.0704306 | + | 0.218161i | ||||
\(537\) | −8.03179 | + | 8.03179i | −0.346597 | + | 0.346597i | ||||
\(538\) | 10.5760 | − | 27.6033i | 0.455965 | − | 1.19006i | ||||
\(539\) | 0.251508 | 0.0108332 | ||||||||
\(540\) | 19.4279 | − | 8.89847i | 0.836044 | − | 0.382929i | ||||
\(541\) | 33.8314 | 1.45452 | 0.727262 | − | 0.686359i | \(-0.240792\pi\) | ||||
0.727262 | + | 0.686359i | \(0.240792\pi\) | |||||||
\(542\) | 10.7374 | − | 28.0244i | 0.461210 | − | 1.20375i | ||||
\(543\) | 8.46963 | − | 8.46963i | 0.363466 | − | 0.363466i | ||||
\(544\) | 11.1814 | + | 19.2270i | 0.479397 | + | 0.824352i | ||||
\(545\) | 8.52385 | − | 3.36400i | 0.365122 | − | 0.144098i | ||||
\(546\) | −1.43396 | − | 3.21529i | −0.0613679 | − | 0.137602i | ||||
\(547\) | −2.95286 | − | 2.95286i | −0.126255 | − | 0.126255i | 0.641156 | − | 0.767411i | \(-0.278455\pi\) |
−0.767411 | + | 0.641156i | \(0.778455\pi\) | |||||||
\(548\) | −1.39377 | + | 0.0747995i | −0.0595388 | + | 0.00319528i | ||||
\(549\) | − | 18.0079i | − | 0.768557i | ||||||
\(550\) | 4.35872 | + | 10.7289i | 0.185857 | + | 0.457481i | ||||
\(551\) | − | 28.1397i | − | 1.19879i | ||||||
\(552\) | −2.87786 | + | 1.47318i | −0.122490 | + | 0.0627027i | ||||
\(553\) | −27.6432 | − | 27.6432i | −1.17551 | − | 1.17551i | ||||
\(554\) | 19.5022 | − | 8.69760i | 0.828568 | − | 0.369526i | ||||
\(555\) | −11.0275 | + | 4.35208i | −0.468092 | + | 0.184736i | ||||
\(556\) | 16.0177 | + | 14.3860i | 0.679300 | + | 0.610101i | ||||
\(557\) | 3.80718 | − | 3.80718i | 0.161315 | − | 0.161315i | −0.621834 | − | 0.783149i | \(-0.713612\pi\) |
0.783149 | + | 0.621834i | \(0.213612\pi\) | |||||||
\(558\) | −21.9796 | − | 8.42135i | −0.930471 | − | 0.356504i | ||||
\(559\) | −7.30659 | −0.309036 | ||||||||
\(560\) | 22.8379 | + | 7.12155i | 0.965077 | + | 0.300941i | ||||
\(561\) | 5.99340 | 0.253041 | ||||||||
\(562\) | −35.4699 | − | 13.5901i | −1.49621 | − | 0.573263i | ||||
\(563\) | 31.6788 | − | 31.6788i | 1.33510 | − | 1.33510i | 0.434368 | − | 0.900736i | \(-0.356972\pi\) |
0.900736 | − | 0.434368i | \(-0.143028\pi\) | |||||||
\(564\) | 15.9179 | + | 14.2964i | 0.670263 | + | 0.601985i | ||||
\(565\) | −4.86259 | + | 11.2030i | −0.204571 | + | 0.471313i | ||||
\(566\) | 9.67402 | − | 4.31443i | 0.406629 | − | 0.181349i | ||||
\(567\) | 3.69497 | + | 3.69497i | 0.155174 | + | 0.155174i | ||||
\(568\) | −16.3884 | + | 8.38926i | −0.687644 | + | 0.352005i | ||||
\(569\) | − | 25.1606i | − | 1.05479i | −0.849621 | − | 0.527393i | \(-0.823170\pi\) | ||
0.849621 | − | 0.527393i | \(-0.176830\pi\) | |||||||
\(570\) | −7.41579 | − | 7.26893i | −0.310613 | − | 0.304462i | ||||
\(571\) | 42.4686i | 1.77726i | 0.458627 | + | 0.888629i | \(0.348341\pi\) | ||||
−0.458627 | + | 0.888629i | \(0.651659\pi\) | |||||||
\(572\) | −3.27074 | + | 0.175532i | −0.136757 | + | 0.00733934i | ||||
\(573\) | 11.0965 | + | 11.0965i | 0.463562 | + | 0.463562i | ||||
\(574\) | −8.46071 | − | 18.9710i | −0.353143 | − | 0.791834i | ||||
\(575\) | −0.206369 | + | 6.13693i | −0.00860618 | + | 0.255928i | ||||
\(576\) | −13.8473 | − | 9.98113i | −0.576969 | − | 0.415880i | ||||
\(577\) | −16.1672 | + | 16.1672i | −0.673048 | + | 0.673048i | −0.958418 | − | 0.285370i | \(-0.907884\pi\) |
0.285370 | + | 0.958418i | \(0.407884\pi\) | |||||||
\(578\) | −0.779508 | + | 2.03451i | −0.0324233 | + | 0.0846243i | ||||
\(579\) | −7.47227 | −0.310537 | ||||||||
\(580\) | 33.4344 | + | 12.4282i | 1.38829 | + | 0.516052i | ||||
\(581\) | 24.8713 | 1.03183 | ||||||||
\(582\) | 0.00710433 | − | 0.0185422i | 0.000294484 | − | 0.000768599i | ||||
\(583\) | −0.903970 | + | 0.903970i | −0.0374386 | + | 0.0374386i | ||||
\(584\) | 6.09186 | − | 18.8697i | 0.252083 | − | 0.780834i | ||||
\(585\) | 4.37660 | + | 1.89964i | 0.180950 | + | 0.0785404i | ||||
\(586\) | −9.88568 | − | 22.1661i | −0.408374 | − | 0.915674i | ||||
\(587\) | −12.3005 | − | 12.3005i | −0.507697 | − | 0.507697i | 0.406122 | − | 0.913819i | \(-0.366881\pi\) |
−0.913819 | + | 0.406122i | \(0.866881\pi\) | |||||||
\(588\) | −0.0153201 | − | 0.285464i | −0.000631789 | − | 0.0117723i | ||||
\(589\) | 27.5203i | 1.13396i | ||||||||
\(590\) | −0.255938 | − | 25.5917i | −0.0105368 | − | 1.05359i | ||||
\(591\) | − | 15.7698i | − | 0.648684i | ||||||
\(592\) | 17.7433 | + | 14.2946i | 0.729243 | + | 0.587503i | ||||
\(593\) | 10.0432 | + | 10.0432i | 0.412424 | + | 0.412424i | 0.882582 | − | 0.470158i | \(-0.155803\pi\) |
−0.470158 | + | 0.882582i | \(0.655803\pi\) | |||||||
\(594\) | −10.1072 | + | 4.50762i | −0.414703 | + | 0.184950i | ||||
\(595\) | −8.63236 | − | 21.8731i | −0.353892 | − | 0.896709i | ||||
\(596\) | 17.5524 | − | 19.5432i | 0.718974 | − | 0.800522i | ||||
\(597\) | −8.88116 | + | 8.88116i | −0.363482 | + | 0.363482i | ||||
\(598\) | −1.62180 | − | 0.621383i | −0.0663204 | − | 0.0254102i | ||||
\(599\) | 11.5903 | 0.473568 | 0.236784 | − | 0.971562i | \(-0.423907\pi\) | ||||
0.236784 | + | 0.971562i | \(0.423907\pi\) | |||||||
\(600\) | 11.9119 | − | 5.60073i | 0.486301 | − | 0.228649i | ||||
\(601\) | −3.91441 | −0.159672 | −0.0798360 | − | 0.996808i | \(-0.525440\pi\) | ||||
−0.0798360 | + | 0.996808i | \(0.525440\pi\) | |||||||
\(602\) | −25.8076 | − | 9.88802i | −1.05184 | − | 0.403006i | ||||
\(603\) | −2.83113 | + | 2.83113i | −0.115293 | + | 0.115293i | ||||
\(604\) | −27.3987 | + | 30.5063i | −1.11484 | + | 1.24128i | ||||
\(605\) | 6.82784 | + | 17.3007i | 0.277591 | + | 0.703374i | ||||
\(606\) | 10.0430 | − | 4.47900i | 0.407970 | − | 0.181947i | ||||
\(607\) | 8.20464 | + | 8.20464i | 0.333016 | + | 0.333016i | 0.853731 | − | 0.520715i | \(-0.174334\pi\) |
−0.520715 | + | 0.853731i | \(0.674334\pi\) | |||||||
\(608\) | −5.10490 | + | 19.2938i | −0.207031 | + | 0.782469i | ||||
\(609\) | − | 19.8555i | − | 0.804584i | ||||||
\(610\) | −0.266897 | − | 26.6875i | −0.0108064 | − | 1.08055i | ||||
\(611\) | 11.4936i | 0.464981i | ||||||||
\(612\) | 0.899172 | + | 16.7546i | 0.0363469 | + | 0.677265i | ||||
\(613\) | −23.7346 | − | 23.7346i | −0.958631 | − | 0.958631i | 0.0405471 | − | 0.999178i | \(-0.487090\pi\) |
−0.999178 | + | 0.0405471i | \(0.987090\pi\) | |||||||
\(614\) | 13.8022 | + | 30.9480i | 0.557013 | + | 1.24896i | ||||
\(615\) | −10.4844 | − | 4.55071i | −0.422773 | − | 0.183503i | ||||
\(616\) | −11.7901 | − | 3.80631i | −0.475038 | − | 0.153360i | ||||
\(617\) | −22.7013 | + | 22.7013i | −0.913921 | + | 0.913921i | −0.996578 | − | 0.0826571i | \(-0.973659\pi\) |
0.0826571 | + | 0.996578i | \(0.473659\pi\) | |||||||
\(618\) | 8.54091 | − | 22.2916i | 0.343566 | − | 0.896702i | ||||
\(619\) | 33.7105 | 1.35494 | 0.677471 | − | 0.735550i | \(-0.263076\pi\) | ||||
0.677471 | + | 0.735550i | \(0.263076\pi\) | |||||||
\(620\) | −32.6985 | − | 12.1546i | −1.31320 | − | 0.488141i | ||||
\(621\) | −5.86803 | −0.235476 | ||||||||
\(622\) | 1.07728 | − | 2.81169i | 0.0431951 | − | 0.112739i | ||||
\(623\) | 26.1816 | − | 26.1816i | 1.04894 | − | 1.04894i | ||||
\(624\) | 0.398461 | + | 3.70164i | 0.0159512 | + | 0.148184i | ||||
\(625\) | 1.67947 | − | 24.9435i | 0.0671789 | − | 0.997741i | ||||
\(626\) | 16.0939 | + | 36.0866i | 0.643244 | + | 1.44231i | ||||
\(627\) | 3.80276 | + | 3.80276i | 0.151867 | + | 0.151867i | ||||
\(628\) | −10.8516 | + | 0.582373i | −0.433025 | + | 0.0232392i | ||||
\(629\) | − | 22.3968i | − | 0.893019i | ||||||
\(630\) | 12.8878 | + | 12.6326i | 0.513462 | + | 0.503294i | ||||
\(631\) | − | 17.6344i | − | 0.702013i | −0.936373 | − | 0.351006i | \(-0.885840\pi\) | ||
0.936373 | − | 0.351006i | \(-0.114160\pi\) | |||||||
\(632\) | 18.8380 | + | 36.8001i | 0.749336 | + | 1.46383i | ||||
\(633\) | 14.6902 | + | 14.6902i | 0.583885 | + | 0.583885i | ||||
\(634\) | 9.42855 | − | 4.20496i | 0.374456 | − | 0.167000i | ||||
\(635\) | 3.09902 | − | 7.13987i | 0.122981 | − | 0.283337i | ||||
\(636\) | 1.08108 | + | 0.970953i | 0.0428676 | + | 0.0385008i | ||||
\(637\) | 0.108591 | − | 0.108591i | 0.00430255 | − | 0.00430255i | ||||
\(638\) | −17.2502 | − | 6.60932i | −0.682944 | − | 0.261666i | ||||
\(639\) | −13.8887 | −0.549429 | ||||||||
\(640\) | −20.6695 | − | 14.5867i | −0.817033 | − | 0.576591i | ||||
\(641\) | −1.15882 | −0.0457705 | −0.0228853 | − | 0.999738i | \(-0.507285\pi\) | ||||
−0.0228853 | + | 0.999738i | \(0.507285\pi\) | |||||||
\(642\) | −3.88919 | − | 1.49012i | −0.153494 | − | 0.0588103i | ||||
\(643\) | −0.553083 | + | 0.553083i | −0.0218115 | + | 0.0218115i | −0.717928 | − | 0.696117i | \(-0.754910\pi\) |
0.696117 | + | 0.717928i | \(0.254910\pi\) | |||||||
\(644\) | −4.88744 | − | 4.38957i | −0.192592 | − | 0.172973i | ||||
\(645\) | −14.1450 | + | 5.58242i | −0.556958 | + | 0.219807i | ||||
\(646\) | 17.9167 | − | 7.99049i | 0.704921 | − | 0.314382i | ||||
\(647\) | −7.94092 | − | 7.94092i | −0.312190 | − | 0.312190i | 0.533568 | − | 0.845757i | \(-0.320851\pi\) |
−0.845757 | + | 0.533568i | \(0.820851\pi\) | |||||||
\(648\) | −2.51802 | − | 4.91896i | −0.0989171 | − | 0.193235i | ||||
\(649\) | 13.2545i | 0.520283i | ||||||||
\(650\) | 6.51424 | + | 2.75039i | 0.255510 | + | 0.107879i | ||||
\(651\) | 19.4184i | 0.761068i | ||||||||
\(652\) | −24.8449 | + | 1.33335i | −0.973000 | + | 0.0522181i | ||||
\(653\) | 22.2142 | + | 22.2142i | 0.869311 | + | 0.869311i | 0.992396 | − | 0.123085i | \(-0.0392789\pi\) |
−0.123085 | + | 0.992396i | \(0.539279\pi\) | |||||||
\(654\) | 2.19715 | + | 4.92655i | 0.0859153 | + | 0.192643i | ||||
\(655\) | −2.91835 | + | 1.15175i | −0.114029 | + | 0.0450025i | ||||
\(656\) | 2.35101 | + | 21.8405i | 0.0917916 | + | 0.852730i | ||||
\(657\) | 10.5771 | − | 10.5771i | 0.412651 | − | 0.412651i | ||||
\(658\) | −15.5543 | + | 40.5965i | −0.606369 | + | 1.58262i | ||||
\(659\) | 3.57200 | 0.139145 | 0.0695727 | − | 0.997577i | \(-0.477836\pi\) | ||||
0.0695727 | + | 0.997577i | \(0.477836\pi\) | |||||||
\(660\) | −6.19780 | + | 2.83875i | −0.241249 | + | 0.110498i | ||||
\(661\) | 26.8543 | 1.04451 | 0.522256 | − | 0.852789i | \(-0.325091\pi\) | ||||
0.522256 | + | 0.852789i | \(0.325091\pi\) | |||||||
\(662\) | 3.78373 | − | 9.87549i | 0.147059 | − | 0.383822i | ||||
\(663\) | 2.58772 | − | 2.58772i | 0.100499 | − | 0.100499i | ||||
\(664\) | −25.0295 | − | 8.08050i | −0.971335 | − | 0.313584i | ||||
\(665\) | 8.40112 | − | 19.3554i | 0.325782 | − | 0.750572i | ||||
\(666\) | 7.00103 | + | 15.6980i | 0.271284 | + | 0.608287i | ||||
\(667\) | −6.92619 | − | 6.92619i | −0.268183 | − | 0.268183i | ||||
\(668\) | −2.28903 | − | 42.6523i | −0.0885651 | − | 1.65027i | ||||
\(669\) | 19.9778i | 0.772388i | ||||||||
\(670\) | −4.15375 | + | 4.23767i | −0.160474 | + | 0.163716i | ||||
\(671\) | 13.8220i | 0.533592i | ||||||||
\(672\) | −3.60203 | + | 13.6138i | −0.138951 | + | 0.525163i | ||||
\(673\) | −15.5979 | − | 15.5979i | −0.601256 | − | 0.601256i | 0.339390 | − | 0.940646i | \(-0.389779\pi\) |
−0.940646 | + | 0.339390i | \(0.889779\pi\) | |||||||
\(674\) | 29.4730 | − | 13.1444i | 1.13526 | − | 0.506303i | ||||
\(675\) | 23.8776 | + | 0.802941i | 0.919048 | + | 0.0309052i | ||||
\(676\) | −1.33639 | + | 1.48797i | −0.0513998 | + | 0.0572296i | ||||
\(677\) | −9.60445 | + | 9.60445i | −0.369129 | + | 0.369129i | −0.867159 | − | 0.498031i | \(-0.834057\pi\) |
0.498031 | + | 0.867159i | \(0.334057\pi\) | |||||||
\(678\) | −6.71329 | − | 2.57216i | −0.257822 | − | 0.0987831i | ||||
\(679\) | 0.0403474 | 0.00154839 | ||||||||
\(680\) | 1.58089 | + | 24.8169i | 0.0606243 | + | 0.951684i | ||||
\(681\) | −2.20367 | −0.0844449 | ||||||||
\(682\) | 16.8705 | + | 6.46384i | 0.646006 | + | 0.247513i | ||||
\(683\) | 26.8209 | − | 26.8209i | 1.02627 | − | 1.02627i | 0.0266268 | − | 0.999645i | \(-0.491523\pi\) |
0.999645 | − | 0.0266268i | \(-0.00847656\pi\) | |||||||
\(684\) | −10.0601 | + | 11.2012i | −0.384659 | + | 0.428287i | ||||
\(685\) | −1.43149 | − | 0.621332i | −0.0546946 | − | 0.0237399i | ||||
\(686\) | −23.6510 | + | 10.5479i | −0.902999 | + | 0.402721i | ||||
\(687\) | −6.17126 | − | 6.17126i | −0.235448 | − | 0.235448i | ||||
\(688\) | 22.7593 | + | 18.3356i | 0.867689 | + | 0.699040i | ||||
\(689\) | 0.780599i | 0.0297385i | ||||||||
\(690\) | −3.61443 | + | 0.0361473i | −0.137599 | + | 0.00137611i | ||||
\(691\) | − | 17.8773i | − | 0.680085i | −0.940410 | − | 0.340043i | \(-0.889558\pi\) | ||
0.940410 | − | 0.340043i | \(-0.110442\pi\) | |||||||
\(692\) | −2.02603 | − | 37.7518i | −0.0770182 | − | 1.43511i | ||||
\(693\) | −6.60875 | − | 6.60875i | −0.251046 | − | 0.251046i | ||||
\(694\) | 0.927276 | + | 2.07918i | 0.0351989 | + | 0.0789247i | ||||
\(695\) | 8.83643 | + | 22.3902i | 0.335185 | + | 0.849307i | ||||
\(696\) | −6.45089 | + | 19.9818i | −0.244521 | + | 0.757409i | ||||
\(697\) | 15.2682 | − | 15.2682i | 0.578322 | − | 0.578322i | ||||
\(698\) | −14.4532 | + | 37.7225i | −0.547060 | + | 1.42782i | ||||
\(699\) | −21.1486 | −0.799912 | ||||||||
\(700\) | 19.2869 | + | 18.5304i | 0.728974 | + | 0.700382i | ||||
\(701\) | −5.70121 | −0.215332 | −0.107666 | − | 0.994187i | \(-0.534338\pi\) | ||||
−0.107666 | + | 0.994187i | \(0.534338\pi\) | |||||||
\(702\) | −2.41768 | + | 6.31011i | −0.0912494 | + | 0.238160i | ||||
\(703\) | 14.2106 | − | 14.2106i | 0.535962 | − | 0.535962i | ||||
\(704\) | 10.6285 | + | 7.66106i | 0.400577 | + | 0.288737i | ||||
\(705\) | 8.78138 | + | 22.2507i | 0.330726 | + | 0.838009i | ||||
\(706\) | 14.7017 | + | 32.9647i | 0.553304 | + | 1.24064i | ||||
\(707\) | 15.7998 | + | 15.7998i | 0.594212 | + | 0.594212i | ||||
\(708\) | 15.0440 | − | 0.807367i | 0.565387 | − | 0.0303427i | ||||
\(709\) | − | 16.2277i | − | 0.609445i | −0.952441 | − | 0.304723i | \(-0.901436\pi\) | ||
0.952441 | − | 0.304723i | \(-0.0985638\pi\) | |||||||
\(710\) | −20.5830 | + | 0.205847i | −0.772465 | + | 0.00772529i | ||||
\(711\) | 31.1870i | 1.16960i | ||||||||
\(712\) | −34.8544 | + | 17.8420i | −1.30622 | + | 0.668657i | ||||
\(713\) | 6.77373 | + | 6.77373i | 0.253678 | + | 0.253678i | ||||
\(714\) | 12.6420 | − | 5.63811i | 0.473116 | − | 0.211001i | ||||
\(715\) | −3.35928 | − | 1.45808i | −0.125630 | − | 0.0545289i | ||||
\(716\) | 18.1587 | + | 16.3090i | 0.678624 | + | 0.609494i | ||||
\(717\) | 12.8920 | − | 12.8920i | 0.481462 | − | 0.481462i | ||||
\(718\) | 8.16876 | + | 3.12981i | 0.304855 | + | 0.116803i | ||||
\(719\) | −14.0007 | −0.522137 | −0.261068 | − | 0.965320i | \(-0.584075\pi\) | ||||
−0.261068 | + | 0.965320i | \(0.584075\pi\) | |||||||
\(720\) | −8.86558 | − | 16.9001i | −0.330400 | − | 0.629830i | ||||
\(721\) | 48.5061 | 1.80646 | ||||||||
\(722\) | −8.65355 | − | 3.31555i | −0.322052 | − | 0.123392i | ||||
\(723\) | 0.503190 | − | 0.503190i | 0.0187138 | − | 0.0187138i | ||||
\(724\) | −19.1486 | − | 17.1980i | −0.711653 | − | 0.639159i | ||||
\(725\) | 27.2356 | + | 29.1311i | 1.01151 | + | 1.08190i | ||||
\(726\) | −9.99933 | + | 4.45951i | −0.371110 | + | 0.165508i | ||||
\(727\) | 10.0262 | + | 10.0262i | 0.371852 | + | 0.371852i | 0.868151 | − | 0.496299i | \(-0.165308\pi\) |
−0.496299 | + | 0.868151i | \(0.665308\pi\) | |||||||
\(728\) | −6.73394 | + | 3.44711i | −0.249577 | + | 0.127758i | ||||
\(729\) | 9.17338i | 0.339755i | ||||||||
\(730\) | 15.5184 | − | 15.8319i | 0.574362 | − | 0.585966i | ||||
\(731\) | − | 28.7284i | − | 1.06256i | ||||||
\(732\) | 15.6881 | − | 0.841937i | 0.579850 | − | 0.0311189i | ||||
\(733\) | −4.28988 | − | 4.28988i | −0.158450 | − | 0.158450i | 0.623429 | − | 0.781880i | \(-0.285739\pi\) |
−0.781880 | + | 0.623429i | \(0.785739\pi\) | |||||||
\(734\) | 15.6613 | + | 35.1165i | 0.578069 | + | 1.29617i | ||||
\(735\) | 0.127258 | − | 0.293191i | 0.00469398 | − | 0.0108145i | ||||
\(736\) | 3.49240 | + | 6.00540i | 0.128732 | + | 0.221362i | ||||
\(737\) | 2.17304 | − | 2.17304i | 0.0800451 | − | 0.0800451i | ||||
\(738\) | −5.92885 | + | 15.4742i | −0.218244 | + | 0.569613i | ||||
\(739\) | −41.3148 | −1.51979 | −0.759895 | − | 0.650045i | \(-0.774750\pi\) | ||||
−0.759895 | + | 0.650045i | \(0.774750\pi\) | |||||||
\(740\) | 10.6081 | + | 23.1606i | 0.389963 | + | 0.851401i | ||||
\(741\) | 3.28377 | 0.120632 | ||||||||
\(742\) | −1.05639 | + | 2.75715i | −0.0387812 | + | 0.101218i | ||||
\(743\) | −0.849593 | + | 0.849593i | −0.0311686 | + | 0.0311686i | −0.722519 | − | 0.691351i | \(-0.757016\pi\) |
0.691351 | + | 0.722519i | \(0.257016\pi\) | |||||||
\(744\) | 6.30890 | − | 19.5420i | 0.231296 | − | 0.716444i | ||||
\(745\) | 27.3184 | − | 10.7814i | 1.00087 | − | 0.394999i | ||||
\(746\) | 10.7301 | + | 24.0596i | 0.392858 | + | 0.880883i | ||||
\(747\) | −14.0299 | − | 14.0299i | −0.513326 | − | 0.513326i | ||||
\(748\) | −0.690163 | − | 12.8601i | −0.0252349 | − | 0.470210i | ||||
\(749\) | − | 8.46280i | − | 0.309224i | ||||||
\(750\) | 14.7124 | + | 0.347488i | 0.537222 | + | 0.0126885i | ||||
\(751\) | − | 29.7557i | − | 1.08580i | −0.839797 | − | 0.542900i | \(-0.817326\pi\) | ||
0.839797 | − | 0.542900i | \(-0.182674\pi\) | |||||||
\(752\) | 28.8428 | − | 35.8013i | 1.05179 | − | 1.30554i | ||||
\(753\) | 3.07291 | + | 3.07291i | 0.111983 | + | 0.111983i | ||||
\(754\) | −10.3016 | + | 4.59434i | −0.375164 | + | 0.167316i | ||||
\(755\) | −42.6430 | + | 16.8293i | −1.55194 | + | 0.612482i | ||||
\(756\) | −17.0790 | + | 19.0161i | −0.621156 | + | 0.691608i | ||||
\(757\) | −3.39816 | + | 3.39816i | −0.123508 | + | 0.123508i | −0.766159 | − | 0.642651i | \(-0.777835\pi\) |
0.642651 | + | 0.766159i | \(0.277835\pi\) | |||||||
\(758\) | −8.81622 | − | 3.37788i | −0.320220 | − | 0.122690i | ||||
\(759\) | 1.87199 | 0.0679489 | ||||||||
\(760\) | −14.7430 | + | 16.7491i | −0.534786 | + | 0.607555i | ||||
\(761\) | −30.3122 | −1.09882 | −0.549409 | − | 0.835554i | \(-0.685147\pi\) | ||||
−0.549409 | + | 0.835554i | \(0.685147\pi\) | |||||||
\(762\) | 4.27851 | + | 1.63928i | 0.154994 | + | 0.0593850i | ||||
\(763\) | −7.75051 | + | 7.75051i | −0.280587 | + | 0.280587i | ||||
\(764\) | 22.5320 | − | 25.0876i | 0.815178 | − | 0.907637i | ||||
\(765\) | −7.46909 | + | 17.2081i | −0.270045 | + | 0.622161i | ||||
\(766\) | −33.1116 | + | 14.7671i | −1.19637 | + | 0.533559i | ||||
\(767\) | 5.72277 | + | 5.72277i | 0.206637 | + | 0.206637i | ||||
\(768\) | 8.04797 | − | 12.5301i | 0.290406 | − | 0.452143i | ||||
\(769\) | − | 33.2340i | − | 1.19845i | −0.800581 | − | 0.599225i | \(-0.795475\pi\) | ||
0.800581 | − | 0.599225i | \(-0.204525\pi\) | |||||||
\(770\) | −9.89208 | − | 9.69618i | −0.356486 | − | 0.349426i | ||||
\(771\) | 11.4061i | 0.410782i | ||||||||
\(772\) | 0.860461 | + | 16.0333i | 0.0309687 | + | 0.577051i | ||||
\(773\) | 0.351564 | + | 0.351564i | 0.0126449 | + | 0.0126449i | 0.713401 | − | 0.700756i | \(-0.247154\pi\) |
−0.700756 | + | 0.713401i | \(0.747154\pi\) | |||||||
\(774\) | 8.98022 | + | 20.1359i | 0.322787 | + | 0.723769i | ||||
\(775\) | −26.6361 | − | 28.4899i | −0.956797 | − | 1.02339i | ||||
\(776\) | −0.0406042 | − | 0.0131086i | −0.00145761 | − | 0.000470571i | ||||
\(777\) | 10.0270 | − | 10.0270i | 0.359717 | − | 0.359717i | ||||
\(778\) | 17.9211 | − | 46.7738i | 0.642502 | − | 1.67692i | ||||
\(779\) | 19.3750 | 0.694182 | ||||||||
\(780\) | −1.45031 | + | 3.90163i | −0.0519294 | + | 0.139701i | ||||
\(781\) | 10.6603 | 0.381457 | ||||||||
\(782\) | 2.44318 | − | 6.37667i | 0.0873680 | − | 0.228029i | ||||
\(783\) | −26.9484 | + | 26.9484i | −0.963059 | + | 0.963059i | ||||
\(784\) | −0.610758 | + | 0.0657446i | −0.0218128 | + | 0.00234802i | ||||
\(785\) | −11.1453 | − | 4.83755i | −0.397793 | − | 0.172660i | ||||
\(786\) | −0.752249 | − | 1.68673i | −0.0268318 | − | 0.0601636i | ||||
\(787\) | −6.96435 | − | 6.96435i | −0.248252 | − | 0.248252i | 0.572001 | − | 0.820253i | \(-0.306167\pi\) |
−0.820253 | + | 0.572001i | \(0.806167\pi\) | |||||||
\(788\) | −33.8374 | + | 1.81596i | −1.20541 | + | 0.0646908i | ||||
\(789\) | − | 10.5254i | − | 0.374713i | ||||||
\(790\) | 0.462227 | + | 46.2189i | 0.0164453 | + | 1.64439i | ||||
\(791\) | − | 14.6080i | − | 0.519400i | ||||||
\(792\) | 4.50367 | + | 8.79794i | 0.160031 | + | 0.312621i | ||||
\(793\) | 5.96781 | + | 5.96781i | 0.211923 | + | 0.211923i | ||||
\(794\) | −18.0525 | + | 8.05110i | −0.640661 | + | 0.285723i | ||||
\(795\) | 0.596397 | + | 1.51118i | 0.0211520 | + | 0.0535960i | ||||
\(796\) | 20.0790 | + | 18.0336i | 0.711683 | + | 0.639186i | ||||
\(797\) | −22.4628 | + | 22.4628i | −0.795673 | + | 0.795673i | −0.982410 | − | 0.186737i | \(-0.940209\pi\) |
0.186737 | + | 0.982410i | \(0.440209\pi\) | |||||||
\(798\) | 11.5986 | + | 4.44393i | 0.410586 | + | 0.157313i | ||||
\(799\) | −45.1910 | −1.59874 | ||||||||
\(800\) | −13.3892 | − | 24.9144i | −0.473380 | − | 0.880858i | ||||
\(801\) | −29.5380 | −1.04368 | ||||||||
\(802\) | 13.4151 | + | 5.13989i | 0.473702 | + | 0.181496i | ||||
\(803\) | −8.11848 | + | 8.11848i | −0.286495 | + | 0.286495i | ||||
\(804\) | −2.59880 | − | 2.33406i | −0.0916525 | − | 0.0823161i | ||||
\(805\) | −2.69625 | − | 6.83188i | −0.0950302 | − | 0.240792i | ||||
\(806\) | 10.0749 | − | 4.49321i | 0.354873 | − | 0.158267i | ||||
\(807\) | 13.7566 | + | 13.7566i | 0.484254 | + | 0.484254i | ||||
\(808\) | −10.7671 | − | 21.0336i | −0.378785 | − | 0.739958i | ||||
\(809\) | − | 32.7835i | − | 1.15261i | −0.817236 | − | 0.576303i | \(-0.804495\pi\) | ||
0.817236 | − | 0.576303i | \(-0.195505\pi\) | |||||||
\(810\) | −0.0617844 | − | 6.17793i | −0.00217088 | − | 0.217070i | ||||
\(811\) | − | 43.2528i | − | 1.51881i | −0.650617 | − | 0.759406i | \(-0.725490\pi\) | ||
0.650617 | − | 0.759406i | \(-0.274510\pi\) | |||||||
\(812\) | −42.6040 | + | 2.28643i | −1.49511 | + | 0.0802381i | ||||
\(813\) | 13.9664 | + | 13.9664i | 0.489824 | + | 0.489824i | ||||
\(814\) | −5.37367 | − | 12.0491i | −0.188347 | − | 0.422320i | ||||
\(815\) | −25.5174 | − | 11.0757i | −0.893834 | − | 0.387964i | ||||
\(816\) | −14.5543 | + | 1.56669i | −0.509501 | + | 0.0548450i | ||||
\(817\) | 18.2279 | − | 18.2279i | 0.637713 | − | 0.637713i | ||||
\(818\) | −2.78295 | + | 7.26345i | −0.0973034 | + | 0.253961i | ||||
\(819\) | −5.70681 | −0.199412 | ||||||||
\(820\) | −8.55716 | + | 23.0205i | −0.298829 | + | 0.803912i | ||||
\(821\) | 33.5716 | 1.17166 | 0.585829 | − | 0.810435i | \(-0.300769\pi\) | ||||
0.585829 | + | 0.810435i | \(0.300769\pi\) | |||||||
\(822\) | 0.328665 | − | 0.857811i | 0.0114635 | − | 0.0299196i | ||||
\(823\) | −23.9864 | + | 23.9864i | −0.836114 | + | 0.836114i | −0.988345 | − | 0.152231i | \(-0.951354\pi\) |
0.152231 | + | 0.988345i | \(0.451354\pi\) | |||||||
\(824\) | −48.8148 | − | 15.7593i | −1.70054 | − | 0.549001i | ||||
\(825\) | −7.61730 | − | 0.256150i | −0.265200 | − | 0.00891801i | ||||
\(826\) | 12.4688 | + | 27.9580i | 0.433844 | + | 0.972784i | ||||
\(827\) | −20.1285 | − | 20.1285i | −0.699938 | − | 0.699938i | 0.264459 | − | 0.964397i | \(-0.414807\pi\) |
−0.964397 | + | 0.264459i | \(0.914807\pi\) | |||||||
\(828\) | 0.280849 | + | 5.23316i | 0.00976017 | + | 0.181865i | ||||
\(829\) | 49.3216i | 1.71301i | 0.516138 | + | 0.856506i | \(0.327369\pi\) | ||||
−0.516138 | + | 0.856506i | \(0.672631\pi\) | |||||||
\(830\) | −21.0001 | − | 20.5842i | −0.728925 | − | 0.714489i | ||||
\(831\) | 14.0538i | 0.487522i | ||||||||
\(832\) | 7.89674 | − | 1.28124i | 0.273770 | − | 0.0444189i | ||||
\(833\) | 0.426965 | + | 0.426965i | 0.0147935 | + | 0.0147935i | ||||
\(834\) | −12.9409 | + | 5.77140i | −0.448107 | + | 0.199847i | ||||
\(835\) | 19.0141 | − | 43.8068i | 0.658010 | − | 1.51600i | ||||
\(836\) | 7.72169 | − | 8.59749i | 0.267060 | − | 0.297351i | ||||
\(837\) | 26.3553 | − | 26.3553i | 0.910971 | − | 0.910971i | ||||
\(838\) | −24.5130 | − | 9.39201i | −0.846788 | − | 0.324442i | ||||
\(839\) | 18.9034 | 0.652616 | 0.326308 | − | 0.945263i | \(-0.394195\pi\) | ||||
0.326308 | + | 0.945263i | \(0.394195\pi\) | |||||||
\(840\) | −10.4027 | + | 11.8182i | −0.358928 | + | 0.407768i | ||||
\(841\) | −34.6159 | −1.19365 | ||||||||
\(842\) | 13.6014 | + | 5.21128i | 0.468734 | + | 0.179593i | ||||
\(843\) | 17.6770 | − | 17.6770i | 0.608830 | − | 0.608830i | ||||
\(844\) | 29.8293 | − | 33.2126i | 1.02677 | − | 1.14322i | ||||
\(845\) | −2.07995 | + | 0.820865i | −0.0715524 | + | 0.0282386i | ||||
\(846\) | 31.6746 | − | 14.1263i | 1.08900 | − | 0.485672i | ||||
\(847\) | −15.7311 | − | 15.7311i | −0.540525 | − | 0.540525i | ||||
\(848\) | 1.95889 | − | 2.43149i | 0.0672685 | − | 0.0834976i | ||||
\(849\) | 6.97138i | 0.239257i | ||||||||
\(850\) | −10.8141 | + | 25.6130i | −0.370920 | + | 0.878519i | ||||
\(851\) | − | 6.99546i | − | 0.239801i | ||||||
\(852\) | −0.649351 | − | 12.0996i | −0.0222464 | − | 0.414525i | ||||
\(853\) | 40.5902 | + | 40.5902i | 1.38978 | + | 1.38978i | 0.825758 | + | 0.564024i | \(0.190748\pi\) |
0.564024 | + | 0.825758i | \(0.309252\pi\) | |||||||
\(854\) | 13.0026 | + | 29.1551i | 0.444941 | + | 0.997668i | ||||
\(855\) | −15.6575 | + | 6.17932i | −0.535474 | + | 0.211328i | ||||
\(856\) | −2.74950 | + | 8.51665i | −0.0939760 | + | 0.291093i | ||||
\(857\) | −11.2591 | + | 11.2591i | −0.384603 | + | 0.384603i | −0.872757 | − | 0.488154i | \(-0.837670\pi\) |
0.488154 | + | 0.872757i | \(0.337670\pi\) | |||||||
\(858\) | 0.771276 | − | 2.01302i | 0.0263309 | − | 0.0687234i | ||||
\(859\) | 13.1757 | 0.449551 | 0.224775 | − | 0.974411i | \(-0.427835\pi\) | ||||
0.224775 | + | 0.974411i | \(0.427835\pi\) | |||||||
\(860\) | 13.6071 | + | 29.7081i | 0.463997 | + | 1.01304i | ||||
\(861\) | 13.6711 | 0.465908 | ||||||||
\(862\) | −6.80569 | + | 17.7628i | −0.231803 | + | 0.605002i | ||||
\(863\) | 11.1486 | − | 11.1486i | 0.379504 | − | 0.379504i | −0.491419 | − | 0.870923i | \(-0.663522\pi\) |
0.870923 | + | 0.491419i | \(0.163522\pi\) | |||||||
\(864\) | 23.3658 | − | 13.5883i | 0.794922 | − | 0.462282i | ||||
\(865\) | 16.8295 | − | 38.7737i | 0.572220 | − | 1.31834i | ||||
\(866\) | −4.31133 | − | 9.66706i | −0.146505 | − | 0.328500i | ||||
\(867\) | −1.01393 | − | 1.01393i | −0.0344349 | − | 0.0344349i | ||||
\(868\) | 41.6662 | − | 2.23611i | 1.41424 | − | 0.0758984i | ||||
\(869\) | − | 23.9377i | − | 0.812031i | ||||||
\(870\) | −16.4330 | + | 16.7650i | −0.557131 | + | 0.568387i | ||||
\(871\) | − | 1.87647i | − | 0.0635819i | ||||||
\(872\) | 10.3179 | − | 5.28174i | 0.349408 | − | 0.178862i | ||||
\(873\) | −0.0227600 | − | 0.0227600i | −0.000770308 | − | 0.000770308i | ||||
\(874\) | 5.59612 | − | 2.49576i | 0.189292 | − | 0.0844205i | ||||
\(875\) | 10.0365 | + | 28.1685i | 0.339295 | + | 0.952270i | ||||
\(876\) | 9.70909 | + | 8.72005i | 0.328040 | + | 0.294623i | ||||
\(877\) | −39.7478 | + | 39.7478i | −1.34219 | + | 1.34219i | −0.448308 | + | 0.893879i | \(0.647973\pi\) |
−0.893879 | + | 0.448308i | \(0.852027\pi\) | |||||||
\(878\) | −7.53974 | − | 2.88880i | −0.254454 | − | 0.0974924i | ||||
\(879\) | 15.9736 | 0.538775 | ||||||||
\(880\) | 6.80481 | + | 12.9717i | 0.229390 | + | 0.437277i | ||||
\(881\) | −11.2316 | −0.378403 | −0.189202 | − | 0.981938i | \(-0.560590\pi\) | ||||
−0.189202 | + | 0.981938i | \(0.560590\pi\) | |||||||
\(882\) | −0.432727 | − | 0.165797i | −0.0145707 | − | 0.00558266i | ||||
\(883\) | 4.40807 | − | 4.40807i | 0.148344 | − | 0.148344i | −0.629034 | − | 0.777378i | \(-0.716549\pi\) |
0.777378 | + | 0.629034i | \(0.216549\pi\) | |||||||
\(884\) | −5.85046 | − | 5.25449i | −0.196772 | − | 0.176728i | ||||
\(885\) | 15.4512 | + | 6.70650i | 0.519386 | + | 0.225437i | ||||
\(886\) | 39.0770 | − | 17.4276i | 1.31282 | − | 0.585492i | ||||
\(887\) | −3.99303 | − | 3.99303i | −0.134073 | − | 0.134073i | 0.636886 | − | 0.770958i | \(-0.280222\pi\) |
−0.770958 | + | 0.636886i | \(0.780222\pi\) | |||||||
\(888\) | −13.3485 | + | 6.83312i | −0.447947 | + | 0.229304i | ||||
\(889\) | 9.30995i | 0.312246i | ||||||||
\(890\) | −43.7752 | + | 0.437788i | −1.46735 | + | 0.0146747i | ||||
\(891\) | 3.19968i | 0.107193i | ||||||||
\(892\) | 42.8665 | − | 2.30053i | 1.43528 | − | 0.0770273i | ||||
\(893\) | −28.6733 | − | 28.6733i | −0.959515 | − | 0.959515i | ||||
\(894\) | 7.04171 | + | 15.7893i | 0.235510 | + | 0.528072i | ||||
\(895\) | 10.0176 | + | 25.3831i | 0.334851 | + | 0.848462i | ||||
\(896\) | 29.6259 | + | 6.16121i | 0.989733 | + | 0.205832i | ||||
\(897\) | 0.808253 | − | 0.808253i | 0.0269868 | − | 0.0269868i | ||||
\(898\) | 1.47808 | − | 3.85778i | 0.0493243 | − | 0.128736i | ||||
\(899\) | 62.2156 | 2.07501 | ||||||||
\(900\) | −0.426731 | − | 21.3327i | −0.0142244 | − | 0.711089i | ||||
\(901\) | −3.06920 | −0.102250 | ||||||||
\(902\) | 4.55071 | − | 11.8773i | 0.151522 | − | 0.395470i | ||||
\(903\) | 12.8617 | − | 12.8617i | 0.428009 | − | 0.428009i | ||||
\(904\) | −4.74602 | + | 14.7009i | −0.157850 | + | 0.488946i | ||||
\(905\) | −10.5637 | − | 26.7668i | −0.351149 | − | 0.889757i | ||||
\(906\) | −10.9919 | − | 24.6464i | −0.365180 | − | 0.818823i | ||||
\(907\) | 12.8489 | + | 12.8489i | 0.426640 | + | 0.426640i | 0.887482 | − | 0.460842i | \(-0.152453\pi\) |
−0.460842 | + | 0.887482i | \(0.652453\pi\) | |||||||
\(908\) | 0.253761 | + | 4.72843i | 0.00842136 | + | 0.156918i | ||||
\(909\) | − | 17.8253i | − | 0.591228i | ||||||
\(910\) | −8.45746 | + | 0.0845815i | −0.280362 | + | 0.00280385i | ||||
\(911\) | 49.6418i | 1.64471i | 0.568978 | + | 0.822353i | \(0.307339\pi\) | ||||
−0.568978 | + | 0.822353i | \(0.692661\pi\) | |||||||
\(912\) | −10.2286 | − | 8.24051i | −0.338703 | − | 0.272870i | ||||
\(913\) | 10.7687 | + | 10.7687i | 0.356391 | + | 0.356391i | ||||
\(914\) | −42.6690 | + | 19.0296i | −1.41137 | + | 0.629442i | ||||
\(915\) | 16.1128 | + | 6.99366i | 0.532672 | + | 0.231203i | ||||
\(916\) | −12.5310 | + | 13.9523i | −0.414038 | + | 0.460998i | ||||
\(917\) | 2.65358 | − | 2.65358i | 0.0876289 | − | 0.0876289i | ||||
\(918\) | −24.8104 | − | 9.50594i | −0.818865 | − | 0.313743i | ||||
\(919\) | 27.1794 | 0.896567 | 0.448283 | − | 0.893892i | \(-0.352036\pi\) | ||||
0.448283 | + | 0.893892i | \(0.352036\pi\) | |||||||
\(920\) | 0.493778 | + | 7.75134i | 0.0162794 | + | 0.255554i | ||||
\(921\) | −22.3021 | −0.734878 | ||||||||
\(922\) | 14.6475 | + | 5.61211i | 0.482390 | + | 0.184825i | ||||
\(923\) | 4.60272 | − | 4.60272i | 0.151500 | − | 0.151500i | ||||
\(924\) | 5.44844 | − | 6.06641i | 0.179241 | − | 0.199570i | ||||
\(925\) | −0.957211 | + | 28.4652i | −0.0314729 | + | 0.935930i | ||||
\(926\) | −24.6049 | + | 10.9733i | −0.808567 | + | 0.360606i | ||||
\(927\) | −27.3623 | − | 27.3623i | −0.898695 | − | 0.898695i | ||||
\(928\) | 43.6179 | + | 11.5407i | 1.43183 | + | 0.378843i | ||||
\(929\) | 34.4689i | 1.13089i | 0.824787 | + | 0.565444i | \(0.191295\pi\) | ||||
−0.824787 | + | 0.565444i | \(0.808705\pi\) | |||||||
\(930\) | 16.0713 | − | 16.3960i | 0.526998 | − | 0.537645i | ||||
\(931\) | 0.541811i | 0.0177571i | ||||||||
\(932\) | 2.43534 | + | 45.3786i | 0.0797722 | + | 1.48642i | ||||
\(933\) | 1.40126 | + | 1.40126i | 0.0458750 | + | 0.0458750i | ||||
\(934\) | 5.79833 | + | 13.0013i | 0.189727 | + | 0.425415i | ||||
\(935\) | 5.73293 | − | 13.2082i | 0.187487 | − | 0.431953i | ||||
\(936\) | 5.74313 | + | 1.85410i | 0.187720 | + | 0.0606032i | ||||
\(937\) | −9.30831 | + | 9.30831i | −0.304089 | + | 0.304089i | −0.842611 | − | 0.538522i | \(-0.818983\pi\) |
0.538522 | + | 0.842611i | \(0.318983\pi\) | |||||||
\(938\) | 2.53944 | − | 6.62789i | 0.0829155 | − | 0.216408i | ||||
\(939\) | −26.0051 | −0.848643 | ||||||||
\(940\) | 46.7322 | − | 21.4045i | 1.52424 | − | 0.698138i | ||||
\(941\) | 24.0792 | 0.784958 | 0.392479 | − | 0.919761i | \(-0.371618\pi\) | ||||
0.392479 | + | 0.919761i | \(0.371618\pi\) | |||||||
\(942\) | 2.55891 | − | 6.67873i | 0.0833739 | − | 0.217605i | ||||
\(943\) | 4.76888 | − | 4.76888i | 0.155296 | − | 0.155296i | ||||
\(944\) | −3.46474 | − | 32.1869i | −0.112768 | − | 1.04760i | ||||
\(945\) | −26.5815 | + | 10.4906i | −0.864696 | + | 0.341258i | ||||
\(946\) | −6.89280 | − | 15.4554i | −0.224104 | − | 0.502497i | ||||
\(947\) | 18.9439 | + | 18.9439i | 0.615594 | + | 0.615594i | 0.944398 | − | 0.328804i | \(-0.106645\pi\) |
−0.328804 | + | 0.944398i | \(0.606645\pi\) | |||||||
\(948\) | −27.1696 | + | 1.45811i | −0.882426 | + | 0.0473573i | ||||
\(949\) | 7.01050i | 0.227570i | ||||||||
\(950\) | −23.1127 | + | 9.38978i | −0.749874 | + | 0.304645i | ||||
\(951\) | 6.79449i | 0.220327i | ||||||||
\(952\) | −13.5535 | − | 26.4768i | −0.439272 | − | 0.858119i | ||||
\(953\) | 24.8180 | + | 24.8180i | 0.803933 | + | 0.803933i | 0.983708 | − | 0.179775i | \(-0.0575370\pi\) |
−0.179775 | + | 0.983708i | \(0.557537\pi\) | |||||||
\(954\) | 2.15122 | − | 0.959402i | 0.0696482 | − | 0.0310618i | ||||
\(955\) | 35.0685 | − | 13.8400i | 1.13479 | − | 0.447853i | ||||
\(956\) | −29.1471 | − | 26.1779i | −0.942684 | − | 0.846655i | ||||
\(957\) | 8.59695 | − | 8.59695i | 0.277900 | − | 0.277900i | ||||
\(958\) | 48.5968 | + | 18.6196i | 1.57009 | + | 0.601571i | ||||
\(959\) | 1.86658 | 0.0602750 | ||||||||
\(960\) | 14.3086 | − | 8.51368i | 0.461807 | − | 0.274778i | ||||
\(961\) | −29.8462 | −0.962780 | ||||||||
\(962\) | −7.52248 | − | 2.88219i | −0.242534 | − | 0.0929255i | ||||
\(963\) | −4.77386 | + | 4.77386i | −0.153835 | + | 0.153835i | ||||
\(964\) | −1.13764 | − | 1.02175i | −0.0366410 | − | 0.0329084i | ||||
\(965\) | −7.14753 | + | 16.4673i | −0.230087 | + | 0.530100i | ||||
\(966\) | 3.94864 | − | 1.76102i | 0.127045 | − | 0.0566598i | ||||
\(967\) | 18.1875 | + | 18.1875i | 0.584870 | + | 0.584870i | 0.936238 | − | 0.351368i | \(-0.114283\pi\) |
−0.351368 | + | 0.936238i | \(0.614283\pi\) | |||||||
\(968\) | 10.7203 | + | 20.9421i | 0.344562 | + | 0.673103i | ||||
\(969\) | 12.9113i | 0.414770i | ||||||||
\(970\) | −0.0340674 | − | 0.0333928i | −0.00109384 | − | 0.00107218i | ||||
\(971\) | − | 47.1354i | − | 1.51265i | −0.654198 | − | 0.756323i | \(-0.726994\pi\) | ||
0.654198 | − | 0.756323i | \(-0.273006\pi\) | |||||||
\(972\) | 32.2598 | − | 1.73129i | 1.03473 | − | 0.0555312i | ||||
\(973\) | −20.3588 | − | 20.3588i | −0.652672 | − | 0.652672i | ||||
\(974\) | 0.466090 | + | 1.04509i | 0.0149345 | + | 0.0334868i | ||||
\(975\) | −3.39945 | + | 3.17826i | −0.108870 | + | 0.101786i | ||||
\(976\) | −3.61310 | − | 33.5651i | −0.115652 | − | 1.07439i | ||||
\(977\) | 21.0507 | − | 21.0507i | 0.673473 | − | 0.673473i | −0.285042 | − | 0.958515i | \(-0.592008\pi\) |
0.958515 | + | 0.285042i | \(0.0920077\pi\) | |||||||
\(978\) | 5.85868 | − | 15.2911i | 0.187340 | − | 0.488955i | ||||
\(979\) | 22.6720 | 0.724602 | ||||||||
\(980\) | −0.643756 | − | 0.239296i | −0.0205640 | − | 0.00764403i | ||||
\(981\) | 8.74411 | 0.279178 | ||||||||
\(982\) | −3.93631 | + | 10.2737i | −0.125613 | + | 0.327848i | ||||
\(983\) | 24.5654 | − | 24.5654i | 0.783514 | − | 0.783514i | −0.196908 | − | 0.980422i | \(-0.563090\pi\) |
0.980422 | + | 0.196908i | \(0.0630900\pi\) | |||||||
\(984\) | −13.7581 | − | 4.44163i | −0.438591 | − | 0.141594i | ||||
\(985\) | −34.7533 | − | 15.0845i | −1.10733 | − | 0.480631i | ||||
\(986\) | −18.0642 | − | 40.5045i | −0.575283 | − | 1.28993i | ||||
\(987\) | −20.2319 | − | 20.2319i | −0.643990 | − | 0.643990i | ||||
\(988\) | −0.378139 | − | 7.04600i | −0.0120302 | − | 0.224163i | ||||
\(989\) | − | 8.97307i | − | 0.285327i | ||||||
\(990\) | 0.110506 | + | 11.0497i | 0.00351212 | + | 0.351183i | ||||
\(991\) | − | 51.7791i | − | 1.64482i | −0.568898 | − | 0.822408i | \(-0.692630\pi\) | ||
0.568898 | − | 0.822408i | \(-0.307370\pi\) | |||||||
\(992\) | −42.6578 | − | 11.2867i | −1.35439 | − | 0.358353i | ||||
\(993\) | 4.92162 | + | 4.92162i | 0.156183 | + | 0.156183i | ||||
\(994\) | 22.4861 | − | 10.0284i | 0.713217 | − | 0.318081i | ||||
\(995\) | 11.0770 | + | 28.0673i | 0.351164 | + | 0.889795i | ||||
\(996\) | 11.5666 | − | 12.8785i | 0.366503 | − | 0.408072i | ||||
\(997\) | 1.11340 | − | 1.11340i | 0.0352618 | − | 0.0352618i | −0.689256 | − | 0.724518i | \(-0.742062\pi\) |
0.724518 | + | 0.689256i | \(0.242062\pi\) | |||||||
\(998\) | 3.63021 | + | 1.39089i | 0.114912 | + | 0.0440280i | ||||
\(999\) | −27.2179 | −0.861137 |
(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 | 260.2.o.a.183.33 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.14 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.14 | ✓ | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.33 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.14 | ✓ | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.27.33 | yes | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.183.14 | yes | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.183.33 | yes | 72 | 1.1 | even | 1 | trivial |