Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(115,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.115");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(180\) |
Relative dimension: | \(90\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 115.12 | ||
Character | \(\chi\) | \(=\) | 504.115 |
Dual form | 504.2.bf.b.355.11 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32350 | + | 0.498350i | −0.935855 | + | 0.352386i | ||||
\(3\) | 0.336489 | + | 1.69905i | 0.194272 | + | 0.980948i | ||||
\(4\) | 1.50330 | − | 1.31913i | 0.751648 | − | 0.659565i | ||||
\(5\) | −0.402355 | + | 0.696900i | −0.179939 | + | 0.311663i | −0.941859 | − | 0.336007i | \(-0.890923\pi\) |
0.761921 | + | 0.647670i | \(0.224257\pi\) | |||||||
\(6\) | −1.29206 | − | 2.08100i | −0.527483 | − | 0.849566i | ||||
\(7\) | −0.321531 | + | 2.62614i | −0.121527 | + | 0.992588i | ||||
\(8\) | −1.33222 | + | 2.49503i | −0.471011 | + | 0.882127i | ||||
\(9\) | −2.77355 | + | 1.14342i | −0.924517 | + | 0.381141i | ||||
\(10\) | 0.185217 | − | 1.12286i | 0.0585707 | − | 0.355079i | ||||
\(11\) | −2.08797 | − | 3.61648i | −0.629548 | − | 1.09041i | −0.987642 | − | 0.156724i | \(-0.949907\pi\) |
0.358094 | − | 0.933685i | \(-0.383427\pi\) | |||||||
\(12\) | 2.74711 | + | 2.11030i | 0.793023 | + | 0.609192i | ||||
\(13\) | 2.23425 | + | 3.86983i | 0.619669 | + | 1.07330i | 0.989546 | + | 0.144217i | \(0.0460665\pi\) |
−0.369877 | + | 0.929081i | \(0.620600\pi\) | |||||||
\(14\) | −0.883190 | − | 3.63593i | −0.236043 | − | 0.971743i | ||||
\(15\) | −1.31946 | − | 0.449123i | −0.340682 | − | 0.115963i | ||||
\(16\) | 0.519794 | − | 3.96608i | 0.129948 | − | 0.991521i | ||||
\(17\) | −4.52578 | − | 2.61296i | −1.09766 | − | 0.633736i | −0.162056 | − | 0.986782i | \(-0.551813\pi\) |
−0.935606 | + | 0.353046i | \(0.885146\pi\) | |||||||
\(18\) | 3.10096 | − | 2.89552i | 0.730904 | − | 0.682480i | ||||
\(19\) | −2.90923 | + | 1.67964i | −0.667423 | + | 0.385337i | −0.795099 | − | 0.606479i | \(-0.792581\pi\) |
0.127677 | + | 0.991816i | \(0.459248\pi\) | |||||||
\(20\) | 0.314442 | + | 1.57840i | 0.0703114 | + | 0.352942i | ||||
\(21\) | −4.57014 | + | 0.337369i | −0.997286 | + | 0.0736199i | ||||
\(22\) | 4.56570 | + | 3.74586i | 0.973411 | + | 0.798620i | ||||
\(23\) | 1.98398 | + | 1.14545i | 0.413689 | + | 0.238843i | 0.692374 | − | 0.721539i | \(-0.256565\pi\) |
−0.278685 | + | 0.960383i | \(0.589898\pi\) | |||||||
\(24\) | −4.68747 | − | 1.42396i | −0.956825 | − | 0.290665i | ||||
\(25\) | 2.17622 | + | 3.76932i | 0.435244 | + | 0.753865i | ||||
\(26\) | −4.88555 | − | 4.00828i | −0.958136 | − | 0.786088i | ||||
\(27\) | −2.87600 | − | 4.32766i | −0.553487 | − | 0.832858i | ||||
\(28\) | 2.98086 | + | 4.37201i | 0.563330 | + | 0.826232i | ||||
\(29\) | 4.46249 | + | 2.57642i | 0.828663 | + | 0.478429i | 0.853395 | − | 0.521265i | \(-0.174540\pi\) |
−0.0247314 | + | 0.999694i | \(0.507873\pi\) | |||||||
\(30\) | 1.97012 | − | 0.0631367i | 0.359693 | − | 0.0115271i | ||||
\(31\) | −9.27464 | −1.66577 | −0.832887 | − | 0.553443i | \(-0.813314\pi\) | ||||
−0.832887 | + | 0.553443i | \(0.813314\pi\) | |||||||
\(32\) | 1.28855 | + | 5.50814i | 0.227786 | + | 0.973711i | ||||
\(33\) | 5.44200 | − | 4.76448i | 0.947331 | − | 0.829390i | ||||
\(34\) | 7.29203 | + | 1.20283i | 1.25057 | + | 0.206283i | ||||
\(35\) | −1.70079 | − | 1.28072i | −0.287485 | − | 0.216481i | ||||
\(36\) | −2.66114 | + | 5.37758i | −0.443524 | + | 0.896263i | ||||
\(37\) | 4.27641 | − | 2.46899i | 0.703038 | − | 0.405899i | −0.105440 | − | 0.994426i | \(-0.533625\pi\) |
0.808478 | + | 0.588527i | \(0.200292\pi\) | |||||||
\(38\) | 3.01331 | − | 3.67282i | 0.488823 | − | 0.595810i | ||||
\(39\) | −5.82324 | + | 5.09826i | −0.932465 | + | 0.816375i | ||||
\(40\) | −1.20276 | − | 1.93231i | −0.190173 | − | 0.305526i | ||||
\(41\) | −4.82128 | + | 2.78357i | −0.752958 | + | 0.434720i | −0.826762 | − | 0.562552i | \(-0.809819\pi\) |
0.0738038 | + | 0.997273i | \(0.476486\pi\) | |||||||
\(42\) | 5.88045 | − | 2.72403i | 0.907372 | − | 0.420328i | ||||
\(43\) | 4.64279 | − | 8.04155i | 0.708019 | − | 1.22632i | −0.257572 | − | 0.966259i | \(-0.582923\pi\) |
0.965591 | − | 0.260065i | \(-0.0837441\pi\) | |||||||
\(44\) | −7.90945 | − | 2.68233i | −1.19239 | − | 0.404376i | ||||
\(45\) | 0.319101 | − | 2.39295i | 0.0475688 | − | 0.356720i | ||||
\(46\) | −3.19663 | − | 0.527288i | −0.471318 | − | 0.0777444i | ||||
\(47\) | −8.89595 | −1.29761 | −0.648803 | − | 0.760956i | \(-0.724730\pi\) | ||||
−0.648803 | + | 0.760956i | \(0.724730\pi\) | |||||||
\(48\) | 6.91348 | − | 0.451386i | 0.997875 | − | 0.0651520i | ||||
\(49\) | −6.79324 | − | 1.68877i | −0.970462 | − | 0.241253i | ||||
\(50\) | −4.75867 | − | 3.90418i | −0.672977 | − | 0.552134i | ||||
\(51\) | 2.91668 | − | 8.56876i | 0.408417 | − | 1.19987i | ||||
\(52\) | 8.46354 | + | 2.87024i | 1.17368 | + | 0.398030i | ||||
\(53\) | −2.97069 | − | 1.71513i | −0.408056 | − | 0.235591i | 0.281898 | − | 0.959444i | \(-0.409036\pi\) |
−0.689954 | + | 0.723853i | \(0.742369\pi\) | |||||||
\(54\) | 5.96307 | + | 4.29439i | 0.811471 | + | 0.584392i | ||||
\(55\) | 3.36043 | 0.453120 | ||||||||
\(56\) | −6.12396 | − | 4.30083i | −0.818348 | − | 0.574723i | ||||
\(57\) | −3.83272 | − | 4.37775i | −0.507657 | − | 0.579847i | ||||
\(58\) | −7.19005 | − | 1.18601i | −0.944100 | − | 0.155730i | ||||
\(59\) | 4.09696i | 0.533379i | 0.963783 | + | 0.266689i | \(0.0859298\pi\) | ||||
−0.963783 | + | 0.266689i | \(0.914070\pi\) | |||||||
\(60\) | −2.57598 | + | 1.06537i | −0.332558 | + | 0.137539i | ||||
\(61\) | 2.15794 | 0.276296 | 0.138148 | − | 0.990412i | \(-0.455885\pi\) | ||||
0.138148 | + | 0.990412i | \(0.455885\pi\) | |||||||
\(62\) | 12.2750 | − | 4.62201i | 1.55892 | − | 0.586996i | ||||
\(63\) | −2.11101 | − | 7.65138i | −0.265962 | − | 0.963984i | ||||
\(64\) | −4.45037 | − | 6.64787i | −0.556297 | − | 0.830984i | ||||
\(65\) | −3.59585 | −0.446010 | ||||||||
\(66\) | −4.82810 | + | 9.01780i | −0.594298 | + | 1.11001i | ||||
\(67\) | −6.25372 | −0.764013 | −0.382006 | − | 0.924160i | \(-0.624767\pi\) | ||||
−0.382006 | + | 0.924160i | \(0.624767\pi\) | |||||||
\(68\) | −10.2504 | + | 2.04204i | −1.24305 | + | 0.247634i | ||||
\(69\) | −1.27860 | + | 3.75632i | −0.153925 | + | 0.452208i | ||||
\(70\) | 2.88923 | + | 0.847439i | 0.345329 | + | 0.101288i | ||||
\(71\) | 10.6689i | 1.26617i | 0.774082 | + | 0.633085i | \(0.218212\pi\) | ||||
−0.774082 | + | 0.633085i | \(0.781788\pi\) | |||||||
\(72\) | 0.842104 | − | 8.44339i | 0.0992429 | − | 0.995063i | ||||
\(73\) | 5.31556 | + | 3.06894i | 0.622139 | + | 0.359192i | 0.777702 | − | 0.628634i | \(-0.216386\pi\) |
−0.155562 | + | 0.987826i | \(0.549719\pi\) | |||||||
\(74\) | −4.42940 | + | 5.39885i | −0.514908 | + | 0.627603i | ||||
\(75\) | −5.67200 | + | 4.96585i | −0.654946 | + | 0.573406i | ||||
\(76\) | −2.15776 | + | 6.36265i | −0.247512 | + | 0.729846i | ||||
\(77\) | 10.1687 | − | 4.32051i | 1.15883 | − | 0.492367i | ||||
\(78\) | 5.16634 | − | 9.64955i | 0.584973 | − | 1.09260i | ||||
\(79\) | − | 2.38293i | − | 0.268101i | −0.990974 | − | 0.134051i | \(-0.957202\pi\) | ||
0.990974 | − | 0.134051i | \(-0.0427985\pi\) | |||||||
\(80\) | 2.55482 | + | 1.95802i | 0.285638 | + | 0.218913i | ||||
\(81\) | 6.38517 | − | 6.34268i | 0.709463 | − | 0.704743i | ||||
\(82\) | 4.99377 | − | 6.08673i | 0.551470 | − | 0.672167i | ||||
\(83\) | 7.13350 | + | 4.11853i | 0.783003 | + | 0.452067i | 0.837494 | − | 0.546447i | \(-0.184020\pi\) |
−0.0544902 | + | 0.998514i | \(0.517353\pi\) | |||||||
\(84\) | −6.42524 | + | 6.53577i | −0.701051 | + | 0.713111i | ||||
\(85\) | 3.64194 | − | 2.10268i | 0.395024 | − | 0.228067i | ||||
\(86\) | −2.13722 | + | 12.9567i | −0.230463 | + | 1.39716i | ||||
\(87\) | −2.87589 | + | 8.44893i | −0.308328 | + | 0.905821i | ||||
\(88\) | 11.8049 | − | 0.391617i | 1.25840 | − | 0.0417465i | ||||
\(89\) | 4.22836 | − | 2.44124i | 0.448205 | − | 0.258771i | −0.258867 | − | 0.965913i | \(-0.583349\pi\) |
0.707072 | + | 0.707142i | \(0.250016\pi\) | |||||||
\(90\) | 0.770195 | + | 3.32609i | 0.0811857 | + | 0.350600i | ||||
\(91\) | −10.8811 | + | 4.62318i | −1.14065 | + | 0.484641i | ||||
\(92\) | 4.49351 | − | 0.895177i | 0.468481 | − | 0.0933286i | ||||
\(93\) | −3.12081 | − | 15.7581i | −0.323613 | − | 1.63404i | ||||
\(94\) | 11.7738 | − | 4.43329i | 1.21437 | − | 0.457259i | ||||
\(95\) | − | 2.70325i | − | 0.277348i | ||||||
\(96\) | −8.92503 | + | 4.04274i | −0.910908 | + | 0.412611i | ||||
\(97\) | 7.23900 | + | 4.17944i | 0.735009 | + | 0.424358i | 0.820252 | − | 0.572003i | \(-0.193833\pi\) |
−0.0852428 | + | 0.996360i | \(0.527167\pi\) | |||||||
\(98\) | 9.83243 | − | 1.15032i | 0.993226 | − | 0.116200i | ||||
\(99\) | 9.92627 | + | 7.64305i | 0.997628 | + | 0.768155i | ||||
\(100\) | 8.24373 | + | 2.79569i | 0.824373 | + | 0.279569i | ||||
\(101\) | 2.92570 | + | 5.06747i | 0.291118 | + | 0.504232i | 0.974074 | − | 0.226228i | \(-0.0726393\pi\) |
−0.682956 | + | 0.730459i | \(0.739306\pi\) | |||||||
\(102\) | 0.410020 | + | 12.7943i | 0.0405980 | + | 1.26682i | ||||
\(103\) | −9.29575 | + | 16.1007i | −0.915938 | + | 1.58645i | −0.110416 | + | 0.993886i | \(0.535218\pi\) |
−0.805522 | + | 0.592565i | \(0.798115\pi\) | |||||||
\(104\) | −12.6319 | + | 0.419052i | −1.23866 | + | 0.0410914i | ||||
\(105\) | 1.60371 | − | 3.32067i | 0.156506 | − | 0.324064i | ||||
\(106\) | 4.78644 | + | 0.789527i | 0.464900 | + | 0.0766857i | ||||
\(107\) | 0.356666 | + | 0.617764i | 0.0344802 | + | 0.0597215i | 0.882751 | − | 0.469842i | \(-0.155689\pi\) |
−0.848270 | + | 0.529563i | \(0.822356\pi\) | |||||||
\(108\) | −10.0322 | − | 2.71192i | −0.965351 | − | 0.260955i | ||||
\(109\) | −3.75958 | − | 2.17059i | −0.360102 | − | 0.207905i | 0.309023 | − | 0.951054i | \(-0.399998\pi\) |
−0.669126 | + | 0.743149i | \(0.733331\pi\) | |||||||
\(110\) | −4.44752 | + | 1.67467i | −0.424055 | + | 0.159673i | ||||
\(111\) | 5.63390 | + | 6.43506i | 0.534746 | + | 0.610789i | ||||
\(112\) | 10.2484 | + | 2.64027i | 0.968379 | + | 0.249482i | ||||
\(113\) | 7.27450 | + | 12.5998i | 0.684328 | + | 1.18529i | 0.973648 | + | 0.228058i | \(0.0732375\pi\) |
−0.289320 | + | 0.957232i | \(0.593429\pi\) | |||||||
\(114\) | 7.25425 | + | 3.88390i | 0.679423 | + | 0.363761i | ||||
\(115\) | −1.59653 | + | 0.921758i | −0.148877 | + | 0.0859544i | ||||
\(116\) | 10.1071 | − | 2.01348i | 0.938418 | − | 0.186947i | ||||
\(117\) | −10.6217 | − | 8.17848i | −0.981972 | − | 0.756101i | ||||
\(118\) | −2.04172 | − | 5.42232i | −0.187955 | − | 0.499165i | ||||
\(119\) | 8.31718 | − | 11.0452i | 0.762435 | − | 1.01251i | ||||
\(120\) | 2.87838 | − | 2.69375i | 0.262759 | − | 0.245905i | ||||
\(121\) | −3.21928 | + | 5.57595i | −0.292661 | + | 0.506905i | ||||
\(122\) | −2.85603 | + | 1.07541i | −0.258573 | + | 0.0973630i | ||||
\(123\) | −6.35173 | − | 7.25497i | −0.572717 | − | 0.654158i | ||||
\(124\) | −13.9425 | + | 12.2345i | −1.25208 | + | 1.09869i | ||||
\(125\) | −7.52601 | −0.673146 | ||||||||
\(126\) | 6.60698 | + | 9.07457i | 0.588596 | + | 0.808427i | ||||
\(127\) | 19.8925i | 1.76517i | 0.470152 | + | 0.882586i | \(0.344199\pi\) | ||||
−0.470152 | + | 0.882586i | \(0.655801\pi\) | |||||||
\(128\) | 9.20303 | + | 6.58060i | 0.813440 | + | 0.581648i | ||||
\(129\) | 15.2252 | + | 5.18245i | 1.34051 | + | 0.456289i | ||||
\(130\) | 4.75909 | − | 1.79199i | 0.417400 | − | 0.157168i | ||||
\(131\) | 9.34844 | + | 5.39733i | 0.816777 | + | 0.471567i | 0.849304 | − | 0.527904i | \(-0.177022\pi\) |
−0.0325266 | + | 0.999471i | \(0.510355\pi\) | |||||||
\(132\) | 1.89597 | − | 14.3411i | 0.165023 | − | 1.24823i | ||||
\(133\) | −3.47557 | − | 8.18010i | −0.301370 | − | 0.709305i | ||||
\(134\) | 8.27678 | − | 3.11654i | 0.715005 | − | 0.269228i | ||||
\(135\) | 4.17312 | − | 0.263031i | 0.359165 | − | 0.0226381i | ||||
\(136\) | 12.5488 | − | 7.81092i | 1.07605 | − | 0.669781i | ||||
\(137\) | 1.89603 | + | 3.28401i | 0.161988 | + | 0.280572i | 0.935582 | − | 0.353110i | \(-0.114876\pi\) |
−0.773593 | + | 0.633682i | \(0.781543\pi\) | |||||||
\(138\) | −0.179742 | − | 5.60867i | −0.0153006 | − | 0.477442i | ||||
\(139\) | 2.21663 | − | 1.27977i | 0.188012 | − | 0.108549i | −0.403039 | − | 0.915183i | \(-0.632046\pi\) |
0.591052 | + | 0.806634i | \(0.298713\pi\) | |||||||
\(140\) | −4.24622 | + | 0.318264i | −0.358871 | + | 0.0268982i | ||||
\(141\) | −2.99339 | − | 15.1147i | −0.252089 | − | 1.27288i | ||||
\(142\) | −5.31686 | − | 14.1203i | −0.446181 | − | 1.18495i | ||||
\(143\) | 9.33011 | − | 16.1602i | 0.780223 | − | 1.35139i | ||||
\(144\) | 3.09324 | + | 11.5945i | 0.257770 | + | 0.966206i | ||||
\(145\) | −3.59101 | + | 2.07327i | −0.298217 | + | 0.172176i | ||||
\(146\) | −8.56454 | − | 1.41273i | −0.708807 | − | 0.116918i | ||||
\(147\) | 0.583465 | − | 12.1103i | 0.0481234 | − | 0.998841i | ||||
\(148\) | 3.17180 | − | 9.35276i | 0.260720 | − | 0.768792i | ||||
\(149\) | 9.48733 | + | 5.47751i | 0.777232 | + | 0.448735i | 0.835449 | − | 0.549569i | \(-0.185208\pi\) |
−0.0582162 | + | 0.998304i | \(0.518541\pi\) | |||||||
\(150\) | 5.03216 | − | 9.39893i | 0.410874 | − | 0.767419i | ||||
\(151\) | 15.2898 | − | 8.82754i | 1.24426 | − | 0.718375i | 0.274303 | − | 0.961643i | \(-0.411553\pi\) |
0.969959 | + | 0.243268i | \(0.0782195\pi\) | |||||||
\(152\) | −0.315031 | − | 9.49627i | −0.0255524 | − | 0.770250i | ||||
\(153\) | 15.5402 | + | 2.07230i | 1.25635 | + | 0.167535i | ||||
\(154\) | −11.3052 | + | 10.7858i | −0.910997 | + | 0.869142i | ||||
\(155\) | 3.73170 | − | 6.46349i | 0.299737 | − | 0.519160i | ||||
\(156\) | −2.02879 | + | 15.3458i | −0.162433 | + | 1.22865i | ||||
\(157\) | 24.8578 | 1.98387 | 0.991936 | − | 0.126742i | \(-0.0404521\pi\) | ||||
0.991936 | + | 0.126742i | \(0.0404521\pi\) | |||||||
\(158\) | 1.18753 | + | 3.15381i | 0.0944752 | + | 0.250904i | ||||
\(159\) | 1.91449 | − | 5.62447i | 0.151829 | − | 0.446050i | ||||
\(160\) | −4.35708 | − | 1.31824i | −0.344457 | − | 0.104216i | ||||
\(161\) | −3.64603 | + | 4.84192i | −0.287348 | + | 0.381597i | ||||
\(162\) | −5.28988 | + | 11.5766i | −0.415612 | + | 0.909542i | ||||
\(163\) | −2.85675 | − | 4.94803i | −0.223758 | − | 0.387560i | 0.732188 | − | 0.681102i | \(-0.238499\pi\) |
−0.955946 | + | 0.293543i | \(0.905166\pi\) | |||||||
\(164\) | −3.57592 | + | 10.5444i | −0.279233 | + | 0.823381i | ||||
\(165\) | 1.13075 | + | 5.70954i | 0.0880285 | + | 0.444487i | ||||
\(166\) | −11.4936 | − | 1.89589i | −0.892080 | − | 0.147149i | ||||
\(167\) | −2.90682 | − | 5.03476i | −0.224937 | − | 0.389602i | 0.731364 | − | 0.681988i | \(-0.238884\pi\) |
−0.956300 | + | 0.292386i | \(0.905551\pi\) | |||||||
\(168\) | 5.24669 | − | 11.8521i | 0.404791 | − | 0.914409i | ||||
\(169\) | −3.48373 | + | 6.03400i | −0.267979 | + | 0.464154i | ||||
\(170\) | −3.77223 | + | 4.59785i | −0.289317 | + | 0.352639i | ||||
\(171\) | 6.14835 | − | 7.98506i | 0.470176 | − | 0.610632i | ||||
\(172\) | −3.62836 | − | 18.2133i | −0.276660 | − | 1.38875i | ||||
\(173\) | 3.93205 | 0.298948 | 0.149474 | − | 0.988766i | \(-0.452242\pi\) | ||||
0.149474 | + | 0.988766i | \(0.452242\pi\) | |||||||
\(174\) | −0.404286 | − | 12.6153i | −0.0306488 | − | 0.956367i | ||||
\(175\) | −10.5985 | + | 4.50311i | −0.801171 | + | 0.340403i | ||||
\(176\) | −15.4286 | + | 6.40126i | −1.16297 | + | 0.482513i | ||||
\(177\) | −6.96094 | + | 1.37858i | −0.523217 | + | 0.103620i | ||||
\(178\) | −4.37963 | + | 5.33818i | −0.328267 | + | 0.400114i | ||||
\(179\) | −11.9149 | + | 20.6372i | −0.890559 | + | 1.54249i | −0.0513535 | + | 0.998681i | \(0.516354\pi\) |
−0.839206 | + | 0.543814i | \(0.816980\pi\) | |||||||
\(180\) | −2.67691 | − | 4.01824i | −0.199525 | − | 0.299502i | ||||
\(181\) | 3.27658 | 0.243547 | 0.121773 | − | 0.992558i | \(-0.461142\pi\) | ||||
0.121773 | + | 0.992558i | \(0.461142\pi\) | |||||||
\(182\) | 12.0972 | − | 11.5414i | 0.896701 | − | 0.855503i | ||||
\(183\) | 0.726123 | + | 3.66645i | 0.0536766 | + | 0.271032i | ||||
\(184\) | −5.50105 | + | 3.42411i | −0.405543 | + | 0.252428i | ||||
\(185\) | 3.97364i | 0.292148i | ||||||||
\(186\) | 11.9834 | + | 19.3005i | 0.878667 | + | 1.41518i | ||||
\(187\) | 21.8232i | 1.59587i | ||||||||
\(188\) | −13.3732 | + | 11.7349i | −0.975343 | + | 0.855856i | ||||
\(189\) | 12.2898 | − | 6.16131i | 0.893949 | − | 0.448170i | ||||
\(190\) | 1.34717 | + | 3.57775i | 0.0977336 | + | 0.259557i | ||||
\(191\) | − | 13.4704i | − | 0.974682i | −0.873212 | − | 0.487341i | \(-0.837967\pi\) | ||
0.873212 | − | 0.487341i | \(-0.162033\pi\) | |||||||
\(192\) | 9.79757 | − | 9.79835i | 0.707079 | − | 0.707135i | ||||
\(193\) | −13.5951 | −0.978597 | −0.489299 | − | 0.872116i | \(-0.662747\pi\) | ||||
−0.489299 | + | 0.872116i | \(0.662747\pi\) | |||||||
\(194\) | −11.6636 | − | 1.92393i | −0.837399 | − | 0.138130i | ||||
\(195\) | −1.20996 | − | 6.10953i | −0.0866471 | − | 0.437512i | ||||
\(196\) | −12.4399 | + | 6.42243i | −0.888568 | + | 0.458745i | ||||
\(197\) | 24.0837i | 1.71589i | 0.513739 | + | 0.857947i | \(0.328260\pi\) | ||||
−0.513739 | + | 0.857947i | \(0.671740\pi\) | |||||||
\(198\) | −16.9463 | − | 5.16881i | −1.20432 | − | 0.367331i | ||||
\(199\) | −6.10021 | + | 10.5659i | −0.432432 | + | 0.748995i | −0.997082 | − | 0.0763358i | \(-0.975678\pi\) |
0.564650 | + | 0.825331i | \(0.309011\pi\) | |||||||
\(200\) | −12.3038 | + | 0.408168i | −0.870010 | + | 0.0288618i | ||||
\(201\) | −2.10430 | − | 10.6254i | −0.148426 | − | 0.749457i | ||||
\(202\) | −6.39754 | − | 5.24876i | −0.450129 | − | 0.369302i | ||||
\(203\) | −8.20087 | + | 10.8907i | −0.575588 | + | 0.764379i | ||||
\(204\) | −6.91868 | − | 16.7289i | −0.484404 | − | 1.17125i | ||||
\(205\) | − | 4.47993i | − | 0.312892i | ||||||
\(206\) | 4.27913 | − | 25.9418i | 0.298141 | − | 1.80745i | ||||
\(207\) | −6.81242 | − | 0.908440i | −0.473496 | − | 0.0631410i | ||||
\(208\) | 16.5094 | − | 6.84970i | 1.14472 | − | 0.474941i | ||||
\(209\) | 12.1488 | + | 7.01411i | 0.840349 | + | 0.485176i | ||||
\(210\) | −0.467649 | + | 5.19411i | −0.0322708 | + | 0.358428i | ||||
\(211\) | −5.90798 | − | 10.2329i | −0.406722 | − | 0.704463i | 0.587798 | − | 0.809008i | \(-0.299995\pi\) |
−0.994520 | + | 0.104544i | \(0.966662\pi\) | |||||||
\(212\) | −6.72830 | + | 1.34038i | −0.462102 | + | 0.0920577i | ||||
\(213\) | −18.1271 | + | 3.58998i | −1.24205 | + | 0.245981i | ||||
\(214\) | −0.779909 | − | 0.639865i | −0.0533135 | − | 0.0437403i | ||||
\(215\) | 3.73610 | + | 6.47112i | 0.254800 | + | 0.441326i | ||||
\(216\) | 14.6291 | − | 1.41033i | 0.995385 | − | 0.0959607i | ||||
\(217\) | 2.98209 | − | 24.3565i | 0.202437 | − | 1.65343i | ||||
\(218\) | 6.05751 | + | 0.999192i | 0.410266 | + | 0.0676738i | ||||
\(219\) | −3.42566 | + | 10.0641i | −0.231485 | + | 0.680067i | ||||
\(220\) | 5.05172 | − | 4.43284i | 0.340587 | − | 0.298862i | ||||
\(221\) | − | 23.3520i | − | 1.57083i | ||||||
\(222\) | −10.6634 | − | 5.70913i | −0.715678 | − | 0.383172i | ||||
\(223\) | −11.9638 | + | 20.7220i | −0.801158 | + | 1.38765i | 0.117696 | + | 0.993050i | \(0.462449\pi\) |
−0.918854 | + | 0.394597i | \(0.870884\pi\) | |||||||
\(224\) | −14.8795 | + | 1.61287i | −0.994176 | + | 0.107765i | ||||
\(225\) | −10.3458 | − | 7.96607i | −0.689719 | − | 0.531071i | ||||
\(226\) | −15.9069 | − | 13.0506i | −1.05811 | − | 0.868111i | ||||
\(227\) | 0.0501958 | − | 0.0289805i | 0.00333161 | − | 0.00192351i | −0.498333 | − | 0.866986i | \(-0.666054\pi\) |
0.501665 | + | 0.865062i | \(0.332721\pi\) | |||||||
\(228\) | −11.5365 | − | 1.52519i | −0.764025 | − | 0.101008i | ||||
\(229\) | −6.03979 | + | 10.4612i | −0.399120 | + | 0.691297i | −0.993618 | − | 0.112801i | \(-0.964018\pi\) |
0.594497 | + | 0.804098i | \(0.297351\pi\) | |||||||
\(230\) | 1.65365 | − | 2.01558i | 0.109038 | − | 0.132903i | ||||
\(231\) | 10.7624 | + | 15.8234i | 0.708115 | + | 1.04110i | ||||
\(232\) | −12.3733 | + | 7.70170i | −0.812345 | + | 0.505641i | ||||
\(233\) | −12.5886 | − | 21.8040i | −0.824703 | − | 1.42843i | −0.902146 | − | 0.431431i | \(-0.858009\pi\) |
0.0774422 | − | 0.996997i | \(-0.475325\pi\) | |||||||
\(234\) | 18.1335 | + | 5.53091i | 1.18542 | + | 0.361567i | ||||
\(235\) | 3.57933 | − | 6.19958i | 0.233490 | − | 0.404416i | ||||
\(236\) | 5.40442 | + | 6.15894i | 0.351798 | + | 0.400913i | ||||
\(237\) | 4.04873 | − | 0.801831i | 0.262993 | − | 0.0520845i | ||||
\(238\) | −5.50341 | + | 18.7631i | −0.356733 | + | 1.21623i | ||||
\(239\) | 19.8493 | − | 11.4600i | 1.28394 | − | 0.741286i | 0.306377 | − | 0.951910i | \(-0.400883\pi\) |
0.977567 | + | 0.210625i | \(0.0675498\pi\) | |||||||
\(240\) | −2.46710 | + | 4.99962i | −0.159251 | + | 0.322724i | ||||
\(241\) | −6.91008 | + | 3.98954i | −0.445118 | + | 0.256989i | −0.705766 | − | 0.708445i | \(-0.749397\pi\) |
0.260648 | + | 0.965434i | \(0.416064\pi\) | |||||||
\(242\) | 1.48193 | − | 8.98409i | 0.0952623 | − | 0.577519i | ||||
\(243\) | 12.9251 | + | 8.71448i | 0.829144 | + | 0.559034i | ||||
\(244\) | 3.24402 | − | 2.84661i | 0.207677 | − | 0.182235i | ||||
\(245\) | 3.91020 | − | 4.05472i | 0.249813 | − | 0.259046i | ||||
\(246\) | 12.0220 | + | 6.43655i | 0.766496 | + | 0.410380i | ||||
\(247\) | −12.9999 | − | 7.50548i | −0.827162 | − | 0.477562i | ||||
\(248\) | 12.3559 | − | 23.1405i | 0.784598 | − | 1.46943i | ||||
\(249\) | −4.59725 | + | 13.5060i | −0.291339 | + | 0.855909i | ||||
\(250\) | 9.96066 | − | 3.75058i | 0.629967 | − | 0.237208i | ||||
\(251\) | − | 22.3012i | − | 1.40764i | −0.710378 | − | 0.703820i | \(-0.751476\pi\) | ||
0.710378 | − | 0.703820i | \(-0.248524\pi\) | |||||||
\(252\) | −13.2666 | − | 8.71759i | −0.835719 | − | 0.549157i | ||||
\(253\) | − | 9.56671i | − | 0.601454i | ||||||
\(254\) | −9.91340 | − | 26.3276i | −0.622022 | − | 1.65194i | ||||
\(255\) | 4.79802 | + | 5.48032i | 0.300464 | + | 0.343191i | ||||
\(256\) | −15.4596 | − | 4.12309i | −0.966227 | − | 0.257693i | ||||
\(257\) | 18.5562 | + | 10.7134i | 1.15750 | + | 0.668285i | 0.950705 | − | 0.310098i | \(-0.100362\pi\) |
0.206800 | + | 0.978383i | \(0.433695\pi\) | |||||||
\(258\) | −22.7333 | + | 0.728536i | −1.41531 | + | 0.0453567i | ||||
\(259\) | 5.10891 | + | 12.0243i | 0.317452 | + | 0.747155i | ||||
\(260\) | −5.40562 | + | 4.74339i | −0.335242 | + | 0.294172i | ||||
\(261\) | −15.3229 | − | 2.04332i | −0.948462 | − | 0.126478i | ||||
\(262\) | −15.0624 | − | 2.48456i | −0.930558 | − | 0.153497i | ||||
\(263\) | −6.14609 | + | 3.54844i | −0.378984 | + | 0.218806i | −0.677376 | − | 0.735637i | \(-0.736883\pi\) |
0.298392 | + | 0.954443i | \(0.403550\pi\) | |||||||
\(264\) | 4.63758 | + | 19.9253i | 0.285424 | + | 1.22632i | ||||
\(265\) | 2.39054 | − | 1.38018i | 0.146850 | − | 0.0847839i | ||||
\(266\) | 8.67647 | + | 9.09430i | 0.531988 | + | 0.557607i | ||||
\(267\) | 5.57060 | + | 6.36275i | 0.340915 | + | 0.389394i | ||||
\(268\) | −9.40118 | + | 8.24946i | −0.574269 | + | 0.503916i | ||||
\(269\) | −4.13772 | + | 7.16675i | −0.252282 | + | 0.436964i | −0.964154 | − | 0.265345i | \(-0.914514\pi\) |
0.711872 | + | 0.702309i | \(0.247848\pi\) | |||||||
\(270\) | −5.39203 | + | 2.42779i | −0.328149 | + | 0.147751i | ||||
\(271\) | −7.59718 | − | 13.1587i | −0.461496 | − | 0.799334i | 0.537540 | − | 0.843238i | \(-0.319354\pi\) |
−0.999036 | + | 0.0439042i | \(0.986020\pi\) | |||||||
\(272\) | −12.7157 | + | 16.5914i | −0.771002 | + | 1.00600i | ||||
\(273\) | −11.5164 | − | 16.9319i | −0.697004 | − | 1.02477i | ||||
\(274\) | −4.14597 | − | 3.40150i | −0.250467 | − | 0.205492i | ||||
\(275\) | 9.08779 | − | 15.7405i | 0.548014 | − | 0.949188i | ||||
\(276\) | 3.03297 | + | 7.33349i | 0.182563 | + | 0.441424i | ||||
\(277\) | 18.1365 | − | 10.4711i | 1.08972 | − | 0.629150i | 0.156218 | − | 0.987723i | \(-0.450070\pi\) |
0.933502 | + | 0.358573i | \(0.116737\pi\) | |||||||
\(278\) | −2.29593 | + | 2.79844i | −0.137701 | + | 0.167839i | ||||
\(279\) | 25.7237 | − | 10.6048i | 1.54004 | − | 0.634895i | ||||
\(280\) | 5.46125 | − | 2.53732i | 0.326372 | − | 0.151634i | ||||
\(281\) | −6.02628 | + | 10.4378i | −0.359497 | + | 0.622668i | −0.987877 | − | 0.155239i | \(-0.950385\pi\) |
0.628379 | + | 0.777907i | \(0.283719\pi\) | |||||||
\(282\) | 11.4941 | + | 18.5125i | 0.684465 | + | 1.10240i | ||||
\(283\) | − | 13.3574i | − | 0.794018i | −0.917815 | − | 0.397009i | \(-0.870048\pi\) | ||
0.917815 | − | 0.397009i | \(-0.129952\pi\) | |||||||
\(284\) | 14.0737 | + | 16.0386i | 0.835122 | + | 0.951714i | ||||
\(285\) | 4.59297 | − | 0.909614i | 0.272064 | − | 0.0538809i | ||||
\(286\) | −4.29494 | + | 26.0377i | −0.253965 | + | 1.53964i | ||||
\(287\) | −5.75985 | − | 13.5564i | −0.339993 | − | 0.800208i | ||||
\(288\) | −9.87200 | − | 13.8038i | −0.581713 | − | 0.813394i | ||||
\(289\) | 5.15511 | + | 8.92891i | 0.303242 | + | 0.525230i | ||||
\(290\) | 3.71948 | − | 4.53355i | 0.218416 | − | 0.266219i | ||||
\(291\) | −4.66524 | + | 13.7058i | −0.273481 | + | 0.803446i | ||||
\(292\) | 12.0392 | − | 2.39839i | 0.704540 | − | 0.140355i | ||||
\(293\) | −5.24051 | − | 9.07683i | −0.306154 | − | 0.530274i | 0.671364 | − | 0.741128i | \(-0.265709\pi\) |
−0.977518 | + | 0.210854i | \(0.932375\pi\) | |||||||
\(294\) | 5.26295 | + | 16.3187i | 0.306942 | + | 0.951728i | ||||
\(295\) | −2.85517 | − | 1.64843i | −0.166234 | − | 0.0959754i | ||||
\(296\) | 0.463079 | + | 13.9590i | 0.0269159 | + | 0.811352i | ||||
\(297\) | −9.64585 | + | 19.4370i | −0.559709 | + | 1.12785i | ||||
\(298\) | −15.2862 | − | 2.52147i | −0.885505 | − | 0.146065i | ||||
\(299\) | 10.2369i | 0.592016i | ||||||||
\(300\) | −1.97610 | + | 14.9472i | −0.114090 | + | 0.862979i | ||||
\(301\) | 19.6254 | + | 14.7782i | 1.13119 | + | 0.851803i | ||||
\(302\) | −15.8368 | + | 19.3029i | −0.911303 | + | 1.11076i | ||||
\(303\) | −7.62542 | + | 6.67607i | −0.438069 | + | 0.383530i | ||||
\(304\) | 5.14941 | + | 12.4113i | 0.295339 | + | 0.711837i | ||||
\(305\) | −0.868259 | + | 1.50387i | −0.0497164 | + | 0.0861113i | ||||
\(306\) | −21.6001 | + | 5.00177i | −1.23480 | + | 0.285932i | ||||
\(307\) | − | 20.4335i | − | 1.16620i | −0.812400 | − | 0.583101i | \(-0.801839\pi\) | ||
0.812400 | − | 0.583101i | \(-0.198161\pi\) | |||||||
\(308\) | 9.58730 | − | 19.9089i | 0.546287 | − | 1.13441i | ||||
\(309\) | −30.4839 | − | 10.3763i | −1.73417 | − | 0.590284i | ||||
\(310\) | −1.71782 | + | 10.4141i | −0.0975655 | + | 0.591482i | ||||
\(311\) | −6.40907 | −0.363425 | −0.181712 | − | 0.983352i | \(-0.558164\pi\) | ||||
−0.181712 | + | 0.983352i | \(0.558164\pi\) | |||||||
\(312\) | −4.96247 | − | 21.3212i | −0.280945 | − | 1.20707i | ||||
\(313\) | − | 18.1502i | − | 1.02591i | −0.858415 | − | 0.512956i | \(-0.828551\pi\) | ||
0.858415 | − | 0.512956i | \(-0.171449\pi\) | |||||||
\(314\) | −32.8993 | + | 12.3879i | −1.85662 | + | 0.699089i | ||||
\(315\) | 6.18162 | + | 1.60741i | 0.348295 | + | 0.0905674i | ||||
\(316\) | −3.14340 | − | 3.58225i | −0.176830 | − | 0.201518i | ||||
\(317\) | 6.32534i | 0.355267i | 0.984097 | + | 0.177633i | \(0.0568441\pi\) | ||||
−0.984097 | + | 0.177633i | \(0.943156\pi\) | |||||||
\(318\) | 0.269134 | + | 8.39807i | 0.0150923 | + | 0.470940i | ||||
\(319\) | − | 21.5180i | − | 1.20478i | ||||||
\(320\) | 6.42353 | − | 0.426660i | 0.359086 | − | 0.0238510i | ||||
\(321\) | −0.929598 | + | 0.813865i | −0.0518851 | + | 0.0454255i | ||||
\(322\) | 2.41255 | − | 8.22527i | 0.134446 | − | 0.458377i | ||||
\(323\) | 17.5554 | 0.976806 | ||||||||
\(324\) | 1.23197 | − | 17.9578i | 0.0684427 | − | 0.997655i | ||||
\(325\) | −9.72443 | + | 16.8432i | −0.539415 | + | 0.934293i | ||||
\(326\) | 6.24675 | + | 5.12505i | 0.345975 | + | 0.283850i | ||||
\(327\) | 2.42289 | − | 7.11810i | 0.133986 | − | 0.393632i | ||||
\(328\) | −0.522081 | − | 15.7376i | −0.0288271 | − | 0.868963i | ||||
\(329\) | 2.86032 | − | 23.3620i | 0.157695 | − | 1.28799i | ||||
\(330\) | −4.34189 | − | 6.99306i | −0.239013 | − | 0.384955i | ||||
\(331\) | 0.843469 | 0.0463612 | 0.0231806 | − | 0.999731i | \(-0.492621\pi\) | ||||
0.0231806 | + | 0.999731i | \(0.492621\pi\) | |||||||
\(332\) | 16.1566 | − | 3.21865i | 0.886710 | − | 0.176646i | ||||
\(333\) | −9.03775 | + | 11.7376i | −0.495266 | + | 0.643217i | ||||
\(334\) | 6.35625 | + | 5.21489i | 0.347798 | + | 0.285346i | ||||
\(335\) | 2.51621 | − | 4.35821i | 0.137475 | − | 0.238115i | ||||
\(336\) | −1.03750 | + | 18.3009i | −0.0566001 | + | 0.998397i | ||||
\(337\) | −2.14033 | − | 3.70716i | −0.116591 | − | 0.201942i | 0.801823 | − | 0.597561i | \(-0.203863\pi\) |
−0.918415 | + | 0.395619i | \(0.870530\pi\) | |||||||
\(338\) | 1.60367 | − | 9.72210i | 0.0872282 | − | 0.528813i | ||||
\(339\) | −18.9599 | + | 16.5994i | −1.02976 | + | 0.901558i | ||||
\(340\) | 2.70121 | − | 7.96513i | 0.146494 | − | 0.431970i | ||||
\(341\) | 19.3652 | + | 33.5415i | 1.04869 | + | 1.81638i | ||||
\(342\) | −4.15798 | + | 13.6322i | −0.224838 | + | 0.737147i | ||||
\(343\) | 6.61919 | − | 17.2970i | 0.357403 | − | 0.933950i | ||||
\(344\) | 13.8787 | + | 22.2970i | 0.748289 | + | 1.20218i | ||||
\(345\) | −2.10333 | − | 2.40243i | −0.113239 | − | 0.129342i | ||||
\(346\) | −5.20406 | + | 1.95954i | −0.279772 | + | 0.105345i | ||||
\(347\) | 18.3155 | 0.983226 | 0.491613 | − | 0.870814i | \(-0.336407\pi\) | ||||
0.491613 | + | 0.870814i | \(0.336407\pi\) | |||||||
\(348\) | 6.82193 | + | 16.4949i | 0.365694 | + | 0.884220i | ||||
\(349\) | −5.20017 | + | 9.00696i | −0.278359 | + | 0.482131i | −0.970977 | − | 0.239173i | \(-0.923124\pi\) |
0.692618 | + | 0.721304i | \(0.256457\pi\) | |||||||
\(350\) | 11.7830 | − | 11.2416i | 0.629827 | − | 0.600890i | ||||
\(351\) | 10.3216 | − | 20.7987i | 0.550926 | − | 1.11015i | ||||
\(352\) | 17.2296 | − | 16.1609i | 0.918342 | − | 0.861378i | ||||
\(353\) | 18.0803 | − | 10.4387i | 0.962317 | − | 0.555594i | 0.0654316 | − | 0.997857i | \(-0.479158\pi\) |
0.896885 | + | 0.442263i | \(0.145824\pi\) | |||||||
\(354\) | 8.52578 | − | 5.29353i | 0.453140 | − | 0.281348i | ||||
\(355\) | −7.43518 | − | 4.29270i | −0.394618 | − | 0.227833i | ||||
\(356\) | 3.13615 | − | 9.24767i | 0.166216 | − | 0.490125i | ||||
\(357\) | 21.5650 | + | 10.4147i | 1.14134 | + | 0.551206i | ||||
\(358\) | 5.48479 | − | 33.2510i | 0.289880 | − | 1.75737i | ||||
\(359\) | 11.6548 | − | 6.72889i | 0.615116 | − | 0.355137i | −0.159849 | − | 0.987141i | \(-0.551101\pi\) |
0.774965 | + | 0.632004i | \(0.217767\pi\) | |||||||
\(360\) | 5.54537 | + | 3.98410i | 0.292267 | + | 0.209981i | ||||
\(361\) | −3.85759 | + | 6.68155i | −0.203031 | + | 0.351661i | ||||
\(362\) | −4.33655 | + | 1.63288i | −0.227924 | + | 0.0858225i | ||||
\(363\) | −10.5571 | − | 3.59347i | −0.554103 | − | 0.188608i | ||||
\(364\) | −10.2589 | + | 21.3036i | −0.537715 | + | 1.11661i | ||||
\(365\) | −4.27749 | + | 2.46961i | −0.223894 | + | 0.129265i | ||||
\(366\) | −2.78820 | − | 4.49068i | −0.145742 | − | 0.234732i | ||||
\(367\) | 7.69086 | + | 13.3210i | 0.401459 | + | 0.695348i | 0.993902 | − | 0.110264i | \(-0.0351698\pi\) |
−0.592443 | + | 0.805612i | \(0.701836\pi\) | |||||||
\(368\) | 5.57422 | − | 7.27324i | 0.290576 | − | 0.379144i | ||||
\(369\) | 10.1893 | − | 13.2331i | 0.530433 | − | 0.688890i | ||||
\(370\) | −1.98026 | − | 5.25910i | −0.102949 | − | 0.273408i | ||||
\(371\) | 5.45934 | − | 7.24998i | 0.283435 | − | 0.376400i | ||||
\(372\) | −25.4785 | − | 19.5723i | −1.32100 | − | 1.01478i | ||||
\(373\) | −14.0368 | − | 8.10418i | −0.726800 | − | 0.419618i | 0.0904501 | − | 0.995901i | \(-0.471169\pi\) |
−0.817250 | + | 0.576283i | \(0.804503\pi\) | |||||||
\(374\) | −10.8756 | − | 28.8829i | −0.562362 | − | 1.49350i | ||||
\(375\) | −2.53242 | − | 12.7871i | −0.130773 | − | 0.660321i | ||||
\(376\) | 11.8514 | − | 22.1957i | 0.611187 | − | 1.14465i | ||||
\(377\) | 23.0254i | 1.18587i | ||||||||
\(378\) | −13.1950 | + | 14.2791i | −0.678677 | + | 0.734437i | ||||
\(379\) | 26.9713 | 1.38542 | 0.692711 | − | 0.721216i | \(-0.256416\pi\) | ||||
0.692711 | + | 0.721216i | \(0.256416\pi\) | |||||||
\(380\) | −3.56594 | − | 4.06379i | −0.182929 | − | 0.208468i | ||||
\(381\) | −33.7983 | + | 6.69359i | −1.73154 | + | 0.342923i | ||||
\(382\) | 6.71296 | + | 17.8280i | 0.343465 | + | 0.912161i | ||||
\(383\) | −2.35048 | + | 4.07115i | −0.120104 | + | 0.208026i | −0.919808 | − | 0.392368i | \(-0.871656\pi\) |
0.799705 | + | 0.600394i | \(0.204989\pi\) | |||||||
\(384\) | −8.08406 | + | 17.8507i | −0.412538 | + | 0.910940i | ||||
\(385\) | −1.08048 | + | 8.82496i | −0.0550665 | + | 0.449762i | ||||
\(386\) | 17.9931 | − | 6.77512i | 0.915825 | − | 0.344844i | ||||
\(387\) | −3.68212 | + | 27.6123i | −0.187173 | + | 1.40361i | ||||
\(388\) | 16.3956 | − | 3.26625i | 0.832359 | − | 0.165819i | ||||
\(389\) | −15.3405 | + | 8.85682i | −0.777793 | + | 0.449059i | −0.835647 | − | 0.549266i | \(-0.814907\pi\) |
0.0578548 | + | 0.998325i | \(0.481574\pi\) | |||||||
\(390\) | 4.64606 | + | 7.48296i | 0.235262 | + | 0.378915i | ||||
\(391\) | −5.98604 | − | 10.3681i | −0.302727 | − | 0.524339i | ||||
\(392\) | 13.2636 | − | 14.6995i | 0.669915 | − | 0.742438i | ||||
\(393\) | −6.02469 | + | 17.6996i | −0.303905 | + | 0.892828i | ||||
\(394\) | −12.0021 | − | 31.8747i | −0.604657 | − | 1.60583i | ||||
\(395\) | 1.66067 | + | 0.958786i | 0.0835572 | + | 0.0482418i | ||||
\(396\) | 25.0043 | − | 1.60428i | 1.25651 | − | 0.0806181i | ||||
\(397\) | −3.92980 | − | 6.80661i | −0.197231 | − | 0.341614i | 0.750399 | − | 0.660986i | \(-0.229862\pi\) |
−0.947630 | + | 0.319371i | \(0.896528\pi\) | |||||||
\(398\) | 2.80812 | − | 17.0239i | 0.140758 | − | 0.853333i | ||||
\(399\) | 12.7289 | − | 8.65769i | 0.637243 | − | 0.433427i | ||||
\(400\) | 16.0806 | − | 6.67180i | 0.804032 | − | 0.333590i | ||||
\(401\) | 3.55714 | − | 6.16115i | 0.177635 | − | 0.307673i | −0.763435 | − | 0.645885i | \(-0.776489\pi\) |
0.941070 | + | 0.338212i | \(0.109822\pi\) | |||||||
\(402\) | 8.08020 | + | 13.0140i | 0.403004 | + | 0.649079i | ||||
\(403\) | −20.7218 | − | 35.8913i | −1.03223 | − | 1.78787i | ||||
\(404\) | 11.0828 | + | 3.75852i | 0.551392 | + | 0.186993i | ||||
\(405\) | 1.85111 | + | 7.00183i | 0.0919824 | + | 0.347924i | ||||
\(406\) | 5.42645 | − | 18.5008i | 0.269310 | − | 0.918177i | ||||
\(407\) | −17.8581 | − | 10.3104i | −0.885192 | − | 0.511066i | ||||
\(408\) | 17.4937 | + | 18.6927i | 0.866066 | + | 0.925426i | ||||
\(409\) | 19.6823i | 0.973229i | 0.873617 | + | 0.486615i | \(0.161768\pi\) | ||||
−0.873617 | + | 0.486615i | \(0.838232\pi\) | |||||||
\(410\) | 2.23257 | + | 5.92918i | 0.110259 | + | 0.292822i | ||||
\(411\) | −4.94171 | + | 4.32648i | −0.243757 | + | 0.213409i | ||||
\(412\) | 7.26467 | + | 36.4664i | 0.357905 | + | 1.79657i | ||||
\(413\) | −10.7592 | − | 1.31730i | −0.529425 | − | 0.0648201i | ||||
\(414\) | 9.46894 | − | 2.19265i | 0.465373 | − | 0.107763i | ||||
\(415\) | −5.74040 | + | 3.31422i | −0.281785 | + | 0.162689i | ||||
\(416\) | −18.4366 | + | 17.2930i | −0.903931 | + | 0.847861i | ||||
\(417\) | 2.92027 | + | 3.33554i | 0.143006 | + | 0.163342i | ||||
\(418\) | −19.5744 | − | 3.22881i | −0.957414 | − | 0.157926i | ||||
\(419\) | −3.99352 | + | 2.30566i | −0.195096 | + | 0.112639i | −0.594366 | − | 0.804195i | \(-0.702597\pi\) |
0.399270 | + | 0.916833i | \(0.369264\pi\) | |||||||
\(420\) | −1.96955 | − | 7.10745i | −0.0961042 | − | 0.346808i | ||||
\(421\) | 0.244794 | + | 0.141332i | 0.0119305 | + | 0.00688808i | 0.505953 | − | 0.862561i | \(-0.331141\pi\) |
−0.494023 | + | 0.869449i | \(0.664474\pi\) | |||||||
\(422\) | 12.9188 | + | 10.5990i | 0.628876 | + | 0.515952i | ||||
\(423\) | 24.6734 | − | 10.1718i | 1.19966 | − | 0.494571i | ||||
\(424\) | 8.23692 | − | 5.12704i | 0.400020 | − | 0.248991i | ||||
\(425\) | − | 22.7455i | − | 1.10332i | ||||||
\(426\) | 22.2021 | − | 13.7850i | 1.07570 | − | 0.667883i | ||||
\(427\) | −0.693846 | + | 5.66706i | −0.0335776 | + | 0.274248i | ||||
\(428\) | 1.35109 | + | 0.458193i | 0.0653072 | + | 0.0221476i | ||||
\(429\) | 30.5965 | + | 10.4146i | 1.47721 | + | 0.502822i | ||||
\(430\) | −8.16960 | − | 6.70263i | −0.393973 | − | 0.323229i | ||||
\(431\) | −13.1372 | − | 7.58478i | −0.632798 | − | 0.365346i | 0.149037 | − | 0.988832i | \(-0.452383\pi\) |
−0.781835 | + | 0.623486i | \(0.785716\pi\) | |||||||
\(432\) | −18.6588 | + | 9.15698i | −0.897721 | + | 0.440565i | ||||
\(433\) | − | 6.22569i | − | 0.299187i | −0.988748 | − | 0.149594i | \(-0.952203\pi\) | ||
0.988748 | − | 0.149594i | \(-0.0477966\pi\) | |||||||
\(434\) | 8.19127 | + | 33.7219i | 0.393194 | + | 1.61870i | ||||
\(435\) | −4.73093 | − | 5.40368i | −0.226831 | − | 0.259087i | ||||
\(436\) | −8.51505 | + | 1.69633i | −0.407797 | + | 0.0812394i | ||||
\(437\) | −7.69581 | −0.368141 | ||||||||
\(438\) | −0.481571 | − | 15.0270i | −0.0230104 | − | 0.718016i | ||||
\(439\) | −5.66768 | −0.270504 | −0.135252 | − | 0.990811i | \(-0.543184\pi\) | ||||
−0.135252 | + | 0.990811i | \(0.543184\pi\) | |||||||
\(440\) | −4.47683 | + | 8.38438i | −0.213425 | + | 0.399710i | ||||
\(441\) | 20.7724 | − | 3.08365i | 0.989160 | − | 0.146840i | ||||
\(442\) | 11.6375 | + | 30.9063i | 0.553537 | + | 1.47006i | ||||
\(443\) | 25.8639 | 1.22883 | 0.614416 | − | 0.788983i | \(-0.289392\pi\) | ||||
0.614416 | + | 0.788983i | \(0.289392\pi\) | |||||||
\(444\) | 16.9581 | + | 2.24194i | 0.804795 | + | 0.106398i | ||||
\(445\) | 3.92899i | 0.186252i | ||||||||
\(446\) | 5.50733 | − | 33.3877i | 0.260780 | − | 1.58095i | ||||
\(447\) | −6.11420 | + | 17.9626i | −0.289192 | + | 0.849601i | ||||
\(448\) | 18.8892 | − | 9.54981i | 0.892430 | − | 0.451186i | ||||
\(449\) | −38.4945 | −1.81667 | −0.908333 | − | 0.418247i | \(-0.862645\pi\) | ||||
−0.908333 | + | 0.418247i | \(0.862645\pi\) | |||||||
\(450\) | 17.6625 | + | 5.38726i | 0.832619 | + | 0.253958i | ||||
\(451\) | 20.1334 | + | 11.6240i | 0.948046 | + | 0.547355i | ||||
\(452\) | 27.5565 | + | 9.34522i | 1.29615 | + | 0.439562i | ||||
\(453\) | 20.1433 | + | 23.0077i | 0.946414 | + | 1.08100i | ||||
\(454\) | −0.0519916 | + | 0.0633707i | −0.00244009 | + | 0.00297414i | ||||
\(455\) | 1.15618 | − | 9.44320i | 0.0542024 | − | 0.442704i | ||||
\(456\) | 16.0287 | − | 3.73064i | 0.750610 | − | 0.174703i | ||||
\(457\) | 20.7490 | 0.970596 | 0.485298 | − | 0.874349i | \(-0.338711\pi\) | ||||
0.485298 | + | 0.874349i | \(0.338711\pi\) | |||||||
\(458\) | 2.78030 | − | 16.8553i | 0.129915 | − | 0.787598i | ||||
\(459\) | 1.70816 | + | 27.1009i | 0.0797303 | + | 1.26496i | ||||
\(460\) | −1.18414 | + | 3.49171i | −0.0552108 | + | 0.162802i | ||||
\(461\) | −10.4981 | + | 18.1832i | −0.488944 | + | 0.846876i | −0.999919 | − | 0.0127197i | \(-0.995951\pi\) |
0.510975 | + | 0.859595i | \(0.329284\pi\) | |||||||
\(462\) | −22.1296 | − | 15.5788i | −1.02956 | − | 0.724791i | ||||
\(463\) | 0.536750 | − | 0.309893i | 0.0249449 | − | 0.0144019i | −0.487476 | − | 0.873137i | \(-0.662082\pi\) |
0.512421 | + | 0.858735i | \(0.328749\pi\) | |||||||
\(464\) | 12.5379 | − | 16.3594i | 0.582056 | − | 0.759466i | ||||
\(465\) | 12.2375 | + | 4.16546i | 0.567500 | + | 0.193168i | ||||
\(466\) | 27.5269 | + | 22.5841i | 1.27516 | + | 1.04619i | ||||
\(467\) | 0.243873 | − | 0.140800i | 0.0112851 | − | 0.00651546i | −0.494347 | − | 0.869265i | \(-0.664593\pi\) |
0.505632 | + | 0.862749i | \(0.331259\pi\) | |||||||
\(468\) | −26.7560 | + | 1.71667i | −1.23679 | + | 0.0793530i | ||||
\(469\) | 2.01077 | − | 16.4231i | 0.0928485 | − | 0.758350i | ||||
\(470\) | −1.64768 | + | 9.98889i | −0.0760017 | + | 0.460753i | ||||
\(471\) | 8.36438 | + | 42.2347i | 0.385410 | + | 1.94607i | ||||
\(472\) | −10.2220 | − | 5.45805i | −0.470508 | − | 0.251227i | ||||
\(473\) | −38.7761 | −1.78293 | ||||||||
\(474\) | −4.95889 | + | 3.07890i | −0.227770 | + | 0.141419i | ||||
\(475\) | −12.6622 | − | 7.31055i | −0.580984 | − | 0.335431i | ||||
\(476\) | −2.06685 | − | 27.5756i | −0.0947341 | − | 1.26393i | ||||
\(477\) | 10.2005 | + | 1.36024i | 0.467048 | + | 0.0622811i | ||||
\(478\) | −20.5594 | + | 25.0592i | −0.940366 | + | 1.14618i | ||||
\(479\) | −12.9607 | − | 22.4486i | −0.592190 | − | 1.02570i | −0.993937 | − | 0.109953i | \(-0.964930\pi\) |
0.401746 | − | 0.915751i | \(-0.368403\pi\) | |||||||
\(480\) | 0.773649 | − | 7.84647i | 0.0353121 | − | 0.358141i | ||||
\(481\) | 19.1091 | + | 11.0327i | 0.871301 | + | 0.503046i | ||||
\(482\) | 7.15730 | − | 8.72379i | 0.326006 | − | 0.397358i | ||||
\(483\) | −9.45352 | − | 4.56555i | −0.430150 | − | 0.207740i | ||||
\(484\) | 2.51588 | + | 12.6289i | 0.114358 | + | 0.574043i | ||||
\(485\) | −5.82530 | + | 3.36324i | −0.264513 | + | 0.152717i | ||||
\(486\) | −21.4492 | − | 5.09239i | −0.972955 | − | 0.230996i | ||||
\(487\) | 6.30644 | + | 3.64102i | 0.285772 | + | 0.164991i | 0.636034 | − | 0.771661i | \(-0.280574\pi\) |
−0.350262 | + | 0.936652i | \(0.613907\pi\) | |||||||
\(488\) | −2.87486 | + | 5.38414i | −0.130139 | + | 0.243728i | ||||
\(489\) | 7.44569 | − | 6.51872i | 0.336706 | − | 0.294787i | ||||
\(490\) | −3.15447 | + | 7.31506i | −0.142505 | + | 0.330461i | ||||
\(491\) | −6.22066 | − | 10.7745i | −0.280735 | − | 0.486246i | 0.690831 | − | 0.723016i | \(-0.257245\pi\) |
−0.971566 | + | 0.236770i | \(0.923911\pi\) | |||||||
\(492\) | −19.1188 | − | 2.52760i | −0.861941 | − | 0.113953i | ||||
\(493\) | −13.4642 | − | 23.3206i | −0.606395 | − | 1.05031i | ||||
\(494\) | 20.9457 | + | 3.45501i | 0.942390 | + | 0.155448i | ||||
\(495\) | −9.32032 | + | 3.84239i | −0.418917 | + | 0.172703i | ||||
\(496\) | −4.82090 | + | 36.7840i | −0.216465 | + | 1.65165i | ||||
\(497\) | −28.0182 | − | 3.43040i | −1.25679 | − | 0.153874i | ||||
\(498\) | −0.646270 | − | 20.1662i | −0.0289601 | − | 0.903671i | ||||
\(499\) | −0.666841 | + | 1.15500i | −0.0298519 | + | 0.0517050i | −0.880565 | − | 0.473925i | \(-0.842837\pi\) |
0.850713 | + | 0.525630i | \(0.176170\pi\) | |||||||
\(500\) | −11.3138 | + | 9.92778i | −0.505969 | + | 0.443984i | ||||
\(501\) | 7.57621 | − | 6.63298i | 0.338480 | − | 0.296340i | ||||
\(502\) | 11.1138 | + | 29.5156i | 0.496033 | + | 1.31735i | ||||
\(503\) | 8.50358 | 0.379156 | 0.189578 | − | 0.981866i | \(-0.439288\pi\) | ||||
0.189578 | + | 0.981866i | \(0.439288\pi\) | |||||||
\(504\) | 21.9028 | + | 4.92630i | 0.975627 | + | 0.219435i | ||||
\(505\) | −4.70869 | −0.209534 | ||||||||
\(506\) | 4.76757 | + | 12.6615i | 0.211944 | + | 0.562873i | ||||
\(507\) | −11.4243 | − | 3.88866i | −0.507371 | − | 0.172702i | ||||
\(508\) | 26.2407 | + | 29.9043i | 1.16424 | + | 1.32679i | ||||
\(509\) | −6.64663 | + | 11.5123i | −0.294607 | + | 0.510274i | −0.974893 | − | 0.222672i | \(-0.928522\pi\) |
0.680287 | + | 0.732946i | \(0.261855\pi\) | |||||||
\(510\) | −9.08129 | − | 4.86210i | −0.402126 | − | 0.215297i | ||||
\(511\) | −9.76859 | + | 12.9727i | −0.432137 | + | 0.573877i | ||||
\(512\) | 22.5155 | − | 2.24740i | 0.995055 | − | 0.0993220i | ||||
\(513\) | 15.6359 | + | 7.75948i | 0.690340 | + | 0.342589i | ||||
\(514\) | −29.8981 | − | 4.93173i | −1.31875 | − | 0.217529i | ||||
\(515\) | −7.48039 | − | 12.9564i | −0.329625 | − | 0.570928i | ||||
\(516\) | 29.7244 | − | 12.2933i | 1.30854 | − | 0.541184i | ||||
\(517\) | 18.5745 | + | 32.1720i | 0.816906 | + | 1.41492i | ||||
\(518\) | −12.7539 | − | 13.3681i | −0.560376 | − | 0.587362i | ||||
\(519\) | 1.32309 | + | 6.68075i | 0.0580772 | + | 0.293253i | ||||
\(520\) | 4.79046 | − | 8.97175i | 0.210076 | − | 0.393437i | ||||
\(521\) | 6.47838 | + | 3.74030i | 0.283823 | + | 0.163865i | 0.635153 | − | 0.772386i | \(-0.280937\pi\) |
−0.351330 | + | 0.936252i | \(0.614270\pi\) | |||||||
\(522\) | 21.2981 | − | 4.93182i | 0.932192 | − | 0.215860i | ||||
\(523\) | −17.3175 | + | 9.99829i | −0.757243 | + | 0.437195i | −0.828305 | − | 0.560277i | \(-0.810695\pi\) |
0.0710619 | + | 0.997472i | \(0.477361\pi\) | |||||||
\(524\) | 21.1732 | − | 4.21803i | 0.924957 | − | 0.184266i | ||||
\(525\) | −11.2173 | − | 16.4922i | −0.489563 | − | 0.719777i | ||||
\(526\) | 6.36597 | − | 7.75926i | 0.277569 | − | 0.338320i | ||||
\(527\) | 41.9750 | + | 24.2343i | 1.82846 | + | 1.05566i | ||||
\(528\) | −16.0676 | − | 24.0600i | −0.699253 | − | 1.04708i | ||||
\(529\) | −8.87587 | − | 15.3735i | −0.385908 | − | 0.668412i | ||||
\(530\) | −2.47607 | + | 3.01799i | −0.107554 | + | 0.131093i | ||||
\(531\) | −4.68456 | − | 11.3631i | −0.203292 | − | 0.493118i | ||||
\(532\) | −16.0154 | − | 7.71238i | −0.694357 | − | 0.334374i | ||||
\(533\) | −21.5439 | − | 12.4384i | −0.933169 | − | 0.538766i | ||||
\(534\) | −10.5435 | − | 5.64498i | −0.456264 | − | 0.244282i | ||||
\(535\) | −0.574026 | −0.0248173 | ||||||||
\(536\) | 8.33133 | − | 15.6032i | 0.359859 | − | 0.673957i | ||||
\(537\) | −39.0728 | − | 13.2998i | −1.68612 | − | 0.573929i | ||||
\(538\) | 1.90472 | − | 11.5472i | 0.0821185 | − | 0.497836i | ||||
\(539\) | 8.07669 | + | 28.0937i | 0.347888 | + | 1.21008i | ||||
\(540\) | 5.92645 | − | 5.90029i | 0.255034 | − | 0.253908i | ||||
\(541\) | −23.1061 | + | 13.3403i | −0.993408 | + | 0.573544i | −0.906291 | − | 0.422654i | \(-0.861099\pi\) |
−0.0871169 | + | 0.996198i | \(0.527765\pi\) | |||||||
\(542\) | 16.6125 | + | 13.6295i | 0.713567 | + | 0.585436i | ||||
\(543\) | 1.10253 | + | 5.56709i | 0.0473143 | + | 0.238907i | ||||
\(544\) | 8.56086 | − | 28.2956i | 0.367044 | − | 1.21316i | ||||
\(545\) | 3.02537 | − | 1.74670i | 0.129593 | − | 0.0748204i | ||||
\(546\) | 23.6799 | + | 16.6702i | 1.01341 | + | 0.713417i | ||||
\(547\) | −10.4812 | + | 18.1539i | −0.448142 | + | 0.776205i | −0.998265 | − | 0.0588790i | \(-0.981247\pi\) |
0.550123 | + | 0.835083i | \(0.314581\pi\) | |||||||
\(548\) | 7.18232 | + | 2.43574i | 0.306814 | + | 0.104050i | ||||
\(549\) | −5.98516 | + | 2.46744i | −0.255441 | + | 0.105308i | ||||
\(550\) | −4.18339 | + | 25.3614i | −0.178381 | + | 1.08142i | ||||
\(551\) | −17.3099 | −0.737425 | ||||||||
\(552\) | −7.66877 | − | 8.19439i | −0.326405 | − | 0.348776i | ||||
\(553\) | 6.25792 | + | 0.766188i | 0.266114 | + | 0.0325816i | ||||
\(554\) | −18.7854 | + | 22.8969i | −0.798115 | + | 0.972795i | ||||
\(555\) | −6.75142 | + | 1.33708i | −0.286582 | + | 0.0567561i | ||||
\(556\) | 1.64407 | − | 4.84790i | 0.0697239 | − | 0.205597i | ||||
\(557\) | 15.0606 | + | 8.69525i | 0.638139 | + | 0.368430i | 0.783897 | − | 0.620891i | \(-0.213229\pi\) |
−0.145758 | + | 0.989320i | \(0.546562\pi\) | |||||||
\(558\) | −28.7603 | + | 26.8549i | −1.21752 | + | 1.13686i | ||||
\(559\) | 41.4926 | 1.75495 | ||||||||
\(560\) | −5.96349 | + | 6.07975i | −0.252003 | + | 0.256916i | ||||
\(561\) | −37.0787 | + | 7.34325i | −1.56546 | + | 0.310032i | ||||
\(562\) | 2.77408 | − | 16.8176i | 0.117018 | − | 0.709409i | ||||
\(563\) | 31.9460i | 1.34636i | 0.739477 | + | 0.673182i | \(0.235073\pi\) | ||||
−0.739477 | + | 0.673182i | \(0.764927\pi\) | |||||||
\(564\) | −24.4381 | − | 18.7731i | −1.02903 | − | 0.790492i | ||||
\(565\) | −11.7077 | −0.492548 | ||||||||
\(566\) | 6.65668 | + | 17.6786i | 0.279801 | + | 0.743085i | ||||
\(567\) | 14.6038 | + | 18.8077i | 0.613300 | + | 0.789850i | ||||
\(568\) | −26.6194 | − | 14.2134i | −1.11692 | − | 0.596381i | ||||
\(569\) | −4.90634 | −0.205684 | −0.102842 | − | 0.994698i | \(-0.532794\pi\) | ||||
−0.102842 | + | 0.994698i | \(0.532794\pi\) | |||||||
\(570\) | −5.62548 | + | 3.49278i | −0.235625 | + | 0.146296i | ||||
\(571\) | 6.78557 | 0.283967 | 0.141984 | − | 0.989869i | \(-0.454652\pi\) | ||||
0.141984 | + | 0.989869i | \(0.454652\pi\) | |||||||
\(572\) | −7.29152 | − | 36.6012i | −0.304874 | − | 1.53037i | ||||
\(573\) | 22.8869 | − | 4.53263i | 0.956112 | − | 0.189353i | ||||
\(574\) | 14.3790 | + | 15.0714i | 0.600167 | + | 0.629069i | ||||
\(575\) | 9.97103i | 0.415821i | ||||||||
\(576\) | 19.9447 | + | 13.3495i | 0.831028 | + | 0.556231i | ||||
\(577\) | −1.74178 | − | 1.00562i | −0.0725112 | − | 0.0418644i | 0.463306 | − | 0.886198i | \(-0.346663\pi\) |
−0.535817 | + | 0.844334i | \(0.679996\pi\) | |||||||
\(578\) | −11.2725 | − | 9.24835i | −0.468874 | − | 0.384681i | ||||
\(579\) | −4.57460 | − | 23.0988i | −0.190114 | − | 0.959953i | ||||
\(580\) | −2.66344 | + | 7.85375i | −0.110593 | + | 0.326109i | ||||
\(581\) | −13.1095 | + | 17.4093i | −0.543873 | + | 0.722261i | ||||
\(582\) | −0.655828 | − | 20.4645i | −0.0271849 | − | 0.848280i | ||||
\(583\) | 14.3246i | 0.593263i | ||||||||
\(584\) | −14.7386 | + | 9.17399i | −0.609888 | + | 0.379623i | ||||
\(585\) | 9.97326 | − | 4.11157i | 0.412344 | − | 0.169993i | ||||
\(586\) | 11.4592 | + | 9.40156i | 0.473377 | + | 0.388375i | ||||
\(587\) | −23.1528 | − | 13.3673i | −0.955618 | − | 0.551726i | −0.0607963 | − | 0.998150i | \(-0.519364\pi\) |
−0.894822 | + | 0.446424i | \(0.852697\pi\) | |||||||
\(588\) | −15.0979 | − | 18.9750i | −0.622629 | − | 0.782517i | ||||
\(589\) | 26.9820 | − | 15.5781i | 1.11178 | − | 0.641884i | ||||
\(590\) | 4.60031 | + | 0.758825i | 0.189392 | + | 0.0312403i | ||||
\(591\) | −40.9195 | + | 8.10390i | −1.68320 | + | 0.333350i | ||||
\(592\) | −7.56936 | − | 18.2440i | −0.311099 | − | 0.749822i | ||||
\(593\) | 11.4452 | − | 6.60786i | 0.469996 | − | 0.271352i | −0.246242 | − | 0.969208i | \(-0.579196\pi\) |
0.716238 | + | 0.697856i | \(0.245862\pi\) | |||||||
\(594\) | 3.07983 | − | 30.5319i | 0.126367 | − | 1.25274i | ||||
\(595\) | 4.35092 | + | 10.2403i | 0.178370 | + | 0.419812i | ||||
\(596\) | 21.4878 | − | 4.28070i | 0.880175 | − | 0.175344i | ||||
\(597\) | −20.0046 | − | 6.80927i | −0.818734 | − | 0.278685i | ||||
\(598\) | −5.10156 | − | 13.5485i | −0.208618 | − | 0.554041i | ||||
\(599\) | − | 4.85144i | − | 0.198225i | −0.995076 | − | 0.0991123i | \(-0.968400\pi\) | ||
0.995076 | − | 0.0991123i | \(-0.0316003\pi\) | |||||||
\(600\) | −4.83359 | − | 20.7674i | −0.197330 | − | 0.847827i | ||||
\(601\) | 15.7458 | + | 9.09083i | 0.642284 | + | 0.370823i | 0.785494 | − | 0.618869i | \(-0.212409\pi\) |
−0.143210 | + | 0.989692i | \(0.545742\pi\) | |||||||
\(602\) | −33.3390 | − | 9.77863i | −1.35879 | − | 0.398547i | ||||
\(603\) | 17.3450 | − | 7.15064i | 0.706343 | − | 0.291197i | ||||
\(604\) | 11.3403 | − | 33.4396i | 0.461432 | − | 1.36064i | ||||
\(605\) | −2.59058 | − | 4.48702i | −0.105322 | − | 0.182423i | ||||
\(606\) | 6.76522 | − | 12.6359i | 0.274818 | − | 0.513298i | ||||
\(607\) | 17.5622 | − | 30.4187i | 0.712830 | − | 1.23466i | −0.250961 | − | 0.967997i | \(-0.580747\pi\) |
0.963791 | − | 0.266660i | \(-0.0859201\pi\) | |||||||
\(608\) | −13.0004 | − | 13.8601i | −0.527236 | − | 0.562103i | ||||
\(609\) | −21.2634 | − | 10.2691i | −0.861637 | − | 0.416125i | ||||
\(610\) | 0.399687 | − | 2.42306i | 0.0161829 | − | 0.0981070i | ||||
\(611\) | −19.8758 | − | 34.4258i | −0.804087 | − | 1.39272i | ||||
\(612\) | 26.0951 | − | 17.3843i | 1.05483 | − | 0.702717i | ||||
\(613\) | −21.3502 | − | 12.3266i | −0.862328 | − | 0.497866i | 0.00246295 | − | 0.999997i | \(-0.499216\pi\) |
−0.864791 | + | 0.502131i | \(0.832549\pi\) | |||||||
\(614\) | 10.1830 | + | 27.0437i | 0.410954 | + | 1.09140i | ||||
\(615\) | 7.61164 | − | 1.50745i | 0.306931 | − | 0.0607861i | ||||
\(616\) | −2.76720 | + | 31.1272i | −0.111493 | + | 1.25415i | ||||
\(617\) | −3.16618 | − | 5.48398i | −0.127465 | − | 0.220777i | 0.795228 | − | 0.606310i | \(-0.207351\pi\) |
−0.922694 | + | 0.385533i | \(0.874018\pi\) | |||||||
\(618\) | 45.5163 | − | 1.45867i | 1.83094 | − | 0.0586763i | ||||
\(619\) | 6.30854 | − | 3.64224i | 0.253561 | − | 0.146394i | −0.367832 | − | 0.929892i | \(-0.619900\pi\) |
0.621394 | + | 0.783498i | \(0.286567\pi\) | |||||||
\(620\) | −2.91634 | − | 14.6391i | −0.117123 | − | 0.587922i | ||||
\(621\) | −0.748814 | − | 11.8803i | −0.0300489 | − | 0.476741i | ||||
\(622\) | 8.48239 | − | 3.19396i | 0.340113 | − | 0.128066i | ||||
\(623\) | 5.05150 | + | 11.8892i | 0.202384 | + | 0.476331i | ||||
\(624\) | 17.1932 | + | 25.7455i | 0.688280 | + | 1.03065i | ||||
\(625\) | −7.85298 | + | 13.6018i | −0.314119 | + | 0.544070i | ||||
\(626\) | 9.04516 | + | 24.0218i | 0.361517 | + | 0.960104i | ||||
\(627\) | −7.82940 | + | 23.0016i | −0.312676 | + | 0.918595i | ||||
\(628\) | 37.3687 | − | 32.7907i | 1.49117 | − | 1.30849i | ||||
\(629\) | −25.8055 | −1.02893 | ||||||||
\(630\) | −8.98242 | + | 0.953200i | −0.357868 | + | 0.0379764i | ||||
\(631\) | − | 24.0110i | − | 0.955862i | −0.878397 | − | 0.477931i | \(-0.841387\pi\) | ||
0.878397 | − | 0.477931i | \(-0.158613\pi\) | |||||||
\(632\) | 5.94550 | + | 3.17460i | 0.236499 | + | 0.126279i | ||||
\(633\) | 15.3983 | − | 13.4812i | 0.612027 | − | 0.535831i | ||||
\(634\) | −3.15223 | − | 8.37158i | −0.125191 | − | 0.332478i | ||||
\(635\) | −13.8631 | − | 8.00384i | −0.550138 | − | 0.317623i | ||||
\(636\) | −4.54137 | − | 10.9807i | −0.180077 | − | 0.435413i | ||||
\(637\) | −8.64251 | − | 30.0618i | −0.342429 | − | 1.19109i | ||||
\(638\) | 10.7235 | + | 28.4790i | 0.424547 | + | 1.12750i | ||||
\(639\) | −12.1991 | − | 29.5909i | −0.482590 | − | 1.17060i | ||||
\(640\) | −8.28890 | + | 3.76585i | −0.327648 | + | 0.148858i | ||||
\(641\) | −15.6097 | − | 27.0369i | −0.616548 | − | 1.06789i | −0.990111 | − | 0.140287i | \(-0.955197\pi\) |
0.373563 | − | 0.927605i | \(-0.378136\pi\) | |||||||
\(642\) | 0.824733 | − | 1.54041i | 0.0325496 | − | 0.0607953i | ||||
\(643\) | 38.4887 | − | 22.2215i | 1.51785 | − | 0.876329i | 0.518066 | − | 0.855340i | \(-0.326652\pi\) |
0.999780 | − | 0.0209884i | \(-0.00668129\pi\) | |||||||
\(644\) | 0.906055 | + | 12.0884i | 0.0357036 | + | 0.476351i | ||||
\(645\) | −9.73760 | + | 8.52528i | −0.383418 | + | 0.335683i | ||||
\(646\) | −23.2345 | + | 8.74871i | −0.914149 | + | 0.344213i | ||||
\(647\) | −5.36870 | + | 9.29886i | −0.211065 | + | 0.365576i | −0.952048 | − | 0.305948i | \(-0.901027\pi\) |
0.740983 | + | 0.671524i | \(0.234360\pi\) | |||||||
\(648\) | 7.31875 | + | 24.3811i | 0.287508 | + | 0.957778i | ||||
\(649\) | 14.8166 | − | 8.55435i | 0.581601 | − | 0.335787i | ||||
\(650\) | 4.47646 | − | 27.1381i | 0.175581 | − | 1.06445i | ||||
\(651\) | 42.3864 | − | 3.12897i | 1.66125 | − | 0.122634i | ||||
\(652\) | −10.8216 | − | 3.66993i | −0.423808 | − | 0.143726i | ||||
\(653\) | 35.9305 | + | 20.7445i | 1.40607 | + | 0.811794i | 0.995006 | − | 0.0998130i | \(-0.0318244\pi\) |
0.411063 | + | 0.911607i | \(0.365158\pi\) | |||||||
\(654\) | 0.340605 | + | 10.6282i | 0.0133187 | + | 0.415597i | ||||
\(655\) | −7.52279 | + | 4.34328i | −0.293940 | + | 0.169706i | ||||
\(656\) | 8.53379 | + | 20.5685i | 0.333189 | + | 0.803065i | ||||
\(657\) | −18.2521 | − | 2.43393i | −0.712081 | − | 0.0949565i | ||||
\(658\) | 7.85681 | + | 32.3450i | 0.306290 | + | 1.26094i | ||||
\(659\) | 20.8734 | − | 36.1538i | 0.813113 | − | 1.40835i | −0.0975613 | − | 0.995230i | \(-0.531104\pi\) |
0.910675 | − | 0.413124i | \(-0.135562\pi\) | |||||||
\(660\) | 9.23147 | + | 7.09153i | 0.359335 | + | 0.276037i | ||||
\(661\) | −19.9630 | −0.776469 | −0.388235 | − | 0.921561i | \(-0.626915\pi\) | ||||
−0.388235 | + | 0.921561i | \(0.626915\pi\) | |||||||
\(662\) | −1.11633 | + | 0.420342i | −0.0433874 | + | 0.0163371i | ||||
\(663\) | 39.6762 | − | 7.85768i | 1.54090 | − | 0.305167i | ||||
\(664\) | −19.7793 | + | 12.3115i | −0.767584 | + | 0.477780i | ||||
\(665\) | 7.09912 | + | 0.869180i | 0.275292 | + | 0.0337054i | ||||
\(666\) | 6.11201 | − | 20.0387i | 0.236836 | − | 0.776483i | ||||
\(667\) | 5.90233 | + | 10.2231i | 0.228539 | + | 0.395842i | ||||
\(668\) | −11.0113 | − | 3.73426i | −0.426041 | − | 0.144483i | ||||
\(669\) | −39.2334 | − | 13.3545i | −1.51685 | − | 0.516314i | ||||
\(670\) | −1.15829 | + | 7.02204i | −0.0447487 | + | 0.271285i | ||||
\(671\) | −4.50573 | − | 7.80415i | −0.173942 | − | 0.301276i | ||||
\(672\) | −7.74713 | − | 24.7383i | −0.298852 | − | 0.954299i | ||||
\(673\) | 20.9561 | − | 36.2970i | 0.807798 | − | 1.39915i | −0.106587 | − | 0.994303i | \(-0.533992\pi\) |
0.914386 | − | 0.404844i | \(-0.132674\pi\) | |||||||
\(674\) | 4.68019 | + | 3.83979i | 0.180274 | + | 0.147903i | ||||
\(675\) | 10.0535 | − | 20.2585i | 0.386960 | − | 0.779751i | ||||
\(676\) | 2.72255 | + | 13.6664i | 0.104713 | + | 0.525630i | ||||
\(677\) | −2.86286 | −0.110028 | −0.0550142 | − | 0.998486i | \(-0.517520\pi\) | ||||
−0.0550142 | + | 0.998486i | \(0.517520\pi\) | |||||||
\(678\) | 16.8211 | − | 31.4180i | 0.646011 | − | 1.20660i | ||||
\(679\) | −13.3034 | + | 17.6668i | −0.510536 | + | 0.677990i | ||||
\(680\) | 0.394374 | + | 11.8880i | 0.0151236 | + | 0.455883i | ||||
\(681\) | 0.0661297 | + | 0.0755336i | 0.00253410 | + | 0.00289445i | ||||
\(682\) | −42.3452 | − | 34.7415i | −1.62148 | − | 1.33032i | ||||
\(683\) | −15.0873 | + | 26.1319i | −0.577298 | + | 0.999909i | 0.418490 | + | 0.908221i | \(0.362559\pi\) |
−0.995788 | + | 0.0916875i | \(0.970774\pi\) | |||||||
\(684\) | −1.29054 | − | 20.1144i | −0.0493451 | − | 0.769092i | ||||
\(685\) | −3.05150 | −0.116592 | ||||||||
\(686\) | −0.140538 | + | 26.1912i | −0.00536576 | + | 0.999986i | ||||
\(687\) | −19.8065 | − | 6.74183i | −0.755664 | − | 0.257217i | ||||
\(688\) | −29.4802 | − | 22.5936i | −1.12392 | − | 0.861374i | ||||
\(689\) | − | 15.3281i | − | 0.583954i | ||||||
\(690\) | 3.98100 | + | 2.13142i | 0.151554 | + | 0.0811416i | ||||
\(691\) | 31.0315i | 1.18049i | 0.807222 | + | 0.590247i | \(0.200970\pi\) | ||||
−0.807222 | + | 0.590247i | \(0.799030\pi\) | |||||||
\(692\) | 5.91103 | − | 5.18688i | 0.224704 | − | 0.197176i | ||||
\(693\) | −23.2633 | + | 23.6103i | −0.883701 | + | 0.896881i | ||||
\(694\) | −24.2405 | + | 9.12751i | −0.920156 | + | 0.346475i | ||||
\(695\) | 2.05969i | 0.0781286i | ||||||||
\(696\) | −17.2490 | − | 18.4313i | −0.653823 | − | 0.698636i | ||||
\(697\) | 29.0934 | 1.10199 | ||||||||
\(698\) | 2.39380 | − | 14.5122i | 0.0906067 | − | 0.549295i | ||||
\(699\) | 32.8102 | − | 28.7254i | 1.24100 | − | 1.08649i | ||||
\(700\) | −9.99250 | + | 20.7503i | −0.377681 | + | 0.784288i | ||||
\(701\) | − | 39.4997i | − | 1.49188i | −0.666012 | − | 0.745941i | \(-0.732000\pi\) | ||
0.666012 | − | 0.745941i | \(-0.268000\pi\) | |||||||
\(702\) | −3.29558 | + | 32.6708i | −0.124384 | + | 1.23308i | ||||
\(703\) | −8.29404 | + | 14.3657i | −0.312816 | + | 0.541812i | ||||
\(704\) | −14.7496 | + | 29.9753i | −0.555897 | + | 1.12974i | ||||
\(705\) | 11.7378 | + | 3.99538i | 0.442071 | + | 0.150475i | ||||
\(706\) | −18.7271 | + | 22.8259i | −0.704805 | + | 0.859063i | ||||
\(707\) | −14.2486 | + | 6.05396i | −0.535874 | + | 0.227683i | ||||
\(708\) | −8.64583 | + | 11.2548i | −0.324930 | + | 0.422981i | ||||
\(709\) | 29.9484i | 1.12473i | 0.826888 | + | 0.562367i | \(0.190109\pi\) | ||||
−0.826888 | + | 0.562367i | \(0.809891\pi\) | |||||||
\(710\) | 11.9797 | + | 1.97607i | 0.449591 | + | 0.0741605i | ||||
\(711\) | 2.72470 | + | 6.60919i | 0.102184 | + | 0.247864i | ||||
\(712\) | 0.457875 | + | 13.8022i | 0.0171596 | + | 0.517258i | ||||
\(713\) | −18.4007 | − | 10.6237i | −0.689113 | − | 0.397859i | ||||
\(714\) | −33.7314 | − | 3.03699i | −1.26237 | − | 0.113656i | ||||
\(715\) | 7.50803 | + | 13.0043i | 0.280785 | + | 0.486333i | ||||
\(716\) | 9.31153 | + | 46.7410i | 0.347988 | + | 1.74679i | ||||
\(717\) | 26.1502 | + | 29.8688i | 0.976597 | + | 1.11547i | ||||
\(718\) | −12.0717 | + | 14.7138i | −0.450514 | + | 0.549116i | ||||
\(719\) | 14.1334 | + | 24.4797i | 0.527086 | + | 0.912939i | 0.999502 | + | 0.0315633i | \(0.0100486\pi\) |
−0.472416 | + | 0.881376i | \(0.656618\pi\) | |||||||
\(720\) | −9.32477 | − | 2.50942i | −0.347513 | − | 0.0935206i | ||||
\(721\) | −39.2939 | − | 29.5888i | −1.46338 | − | 1.10195i | ||||
\(722\) | 1.77577 | − | 10.7655i | 0.0660874 | − | 0.400649i | ||||
\(723\) | −9.10360 | − | 10.3982i | −0.338566 | − | 0.386711i | ||||
\(724\) | 4.92567 | − | 4.32224i | 0.183061 | − | 0.160635i | ||||
\(725\) | 22.4274i | 0.832934i | ||||||||
\(726\) | 15.7631 | − | 0.505162i | 0.585023 | − | 0.0187483i | ||||
\(727\) | 5.30381 | − | 9.18647i | 0.196707 | − | 0.340707i | −0.750751 | − | 0.660585i | \(-0.770308\pi\) |
0.947459 | + | 0.319877i | \(0.103642\pi\) | |||||||
\(728\) | 2.96105 | − | 33.3078i | 0.109744 | − | 1.23447i | ||||
\(729\) | −10.4572 | + | 24.8927i | −0.387304 | + | 0.921952i | ||||
\(730\) | 4.43052 | − | 5.40021i | 0.163981 | − | 0.199871i | ||||
\(731\) | −42.0245 | + | 24.2628i | −1.55433 | + | 0.897393i | ||||
\(732\) | 5.92811 | + | 4.55391i | 0.219109 | + | 0.168317i | ||||
\(733\) | 23.2029 | − | 40.1886i | 0.857019 | − | 1.48440i | −0.0177408 | − | 0.999843i | \(-0.505647\pi\) |
0.874760 | − | 0.484557i | \(-0.161019\pi\) | |||||||
\(734\) | −16.8173 | − | 13.7975i | −0.620739 | − | 0.509276i | ||||
\(735\) | 8.20491 | + | 5.27926i | 0.302643 | + | 0.194728i | ||||
\(736\) | −3.75286 | + | 12.4040i | −0.138332 | + | 0.457219i | ||||
\(737\) | 13.0576 | + | 22.6164i | 0.480983 | + | 0.833087i | ||||
\(738\) | −6.89076 | + | 22.5919i | −0.253652 | + | 0.831618i | ||||
\(739\) | −5.83019 | + | 10.0982i | −0.214467 | + | 0.371468i | −0.953108 | − | 0.302632i | \(-0.902135\pi\) |
0.738641 | + | 0.674100i | \(0.235468\pi\) | |||||||
\(740\) | 5.24175 | + | 5.97355i | 0.192690 | + | 0.219592i | ||||
\(741\) | 8.37789 | − | 24.6130i | 0.307769 | − | 0.904180i | ||||
\(742\) | −3.61240 | + | 12.3160i | −0.132615 | + | 0.452135i | ||||
\(743\) | −36.6987 | + | 21.1880i | −1.34635 | + | 0.777313i | −0.987730 | − | 0.156172i | \(-0.950084\pi\) |
−0.358616 | + | 0.933485i | \(0.616751\pi\) | |||||||
\(744\) | 43.4746 | + | 13.2067i | 1.59385 | + | 0.484182i | ||||
\(745\) | −7.63455 | + | 4.40781i | −0.279708 | + | 0.161490i | ||||
\(746\) | 22.6165 | + | 3.73061i | 0.828047 | + | 0.136587i | ||||
\(747\) | −24.4943 | − | 3.26634i | −0.896201 | − | 0.119509i | ||||
\(748\) | 28.7876 | + | 32.8067i | 1.05258 | + | 1.19953i | ||||
\(749\) | −1.73701 | + | 0.738025i | −0.0634691 | + | 0.0269669i | ||||
\(750\) | 9.72408 | + | 15.6616i | 0.355073 | + | 0.571882i | ||||
\(751\) | −17.3263 | − | 10.0033i | −0.632244 | − | 0.365026i | 0.149377 | − | 0.988780i | \(-0.452273\pi\) |
−0.781621 | + | 0.623754i | \(0.785607\pi\) | |||||||
\(752\) | −4.62405 | + | 35.2821i | −0.168622 | + | 1.28660i | ||||
\(753\) | 37.8909 | − | 7.50411i | 1.38082 | − | 0.273465i | ||||
\(754\) | −11.4747 | − | 30.4741i | −0.417885 | − | 1.10980i | ||||
\(755\) | 14.2072i | 0.517054i | ||||||||
\(756\) | 10.3476 | − | 25.4741i | 0.376337 | − | 0.926483i | ||||
\(757\) | 37.2793i | 1.35494i | 0.735551 | + | 0.677470i | \(0.236923\pi\) | ||||
−0.735551 | + | 0.677470i | \(0.763077\pi\) | |||||||
\(758\) | −35.6964 | + | 13.4411i | −1.29655 | + | 0.488204i | ||||
\(759\) | 16.2543 | − | 3.21909i | 0.589995 | − | 0.116846i | ||||
\(760\) | 6.74470 | + | 3.60133i | 0.244656 | + | 0.130634i | ||||
\(761\) | 36.5541 | + | 21.1045i | 1.32508 | + | 0.765038i | 0.984535 | − | 0.175189i | \(-0.0560537\pi\) |
0.340549 | + | 0.940227i | \(0.389387\pi\) | |||||||
\(762\) | 41.3963 | − | 25.7023i | 1.49963 | − | 0.931097i | ||||
\(763\) | 6.90911 | − | 9.17527i | 0.250126 | − | 0.332167i | ||||
\(764\) | −17.7692 | − | 20.2500i | −0.642866 | − | 0.732618i | ||||
\(765\) | −7.69686 | + | 9.99615i | −0.278280 | + | 0.361412i | ||||
\(766\) | 1.08200 | − | 6.55952i | 0.0390942 | − | 0.237005i | ||||
\(767\) | −15.8545 | + | 9.15362i | −0.572474 | + | 0.330518i | ||||
\(768\) | 1.80335 | − | 27.6541i | 0.0650727 | − | 0.997881i | ||||
\(769\) | −14.8881 | + | 8.59566i | −0.536880 | + | 0.309968i | −0.743813 | − | 0.668387i | \(-0.766985\pi\) |
0.206934 | + | 0.978355i | \(0.433652\pi\) | |||||||
\(770\) | −2.96790 | − | 12.2183i | −0.106956 | − | 0.440316i | ||||
\(771\) | −11.9587 | + | 35.1329i | −0.430683 | + | 1.26528i | ||||
\(772\) | −20.4375 | + | 17.9337i | −0.735560 | + | 0.645448i | ||||
\(773\) | 6.20965 | − | 10.7554i | 0.223345 | − | 0.386846i | −0.732476 | − | 0.680792i | \(-0.761636\pi\) |
0.955822 | + | 0.293947i | \(0.0949689\pi\) | |||||||
\(774\) | −8.88731 | − | 38.3798i | −0.319448 | − | 1.37953i | ||||
\(775\) | −20.1837 | − | 34.9591i | −0.725019 | − | 1.25577i | ||||
\(776\) | −20.0718 | + | 12.4936i | −0.720535 | + | 0.448494i | ||||
\(777\) | −18.7108 | + | 12.7263i | −0.671248 | + | 0.456555i | ||||
\(778\) | 15.8893 | − | 19.3669i | 0.569659 | − | 0.694337i | ||||
\(779\) | 9.35081 | − | 16.1961i | 0.335027 | − | 0.580285i | ||||
\(780\) | −9.87819 | − | 7.58832i | −0.353696 | − | 0.271706i | ||||
\(781\) | 38.5840 | − | 22.2765i | 1.38064 | − | 0.797115i | ||||
\(782\) | 13.0895 | + | 10.7391i | 0.468079 | + | 0.384028i | ||||
\(783\) | −1.68428 | − | 26.7219i | −0.0601911 | − | 0.954963i | ||||
\(784\) | −10.2289 | + | 26.0647i | −0.365318 | + | 0.930883i | ||||
\(785\) | −10.0017 | + | 17.3234i | −0.356975 | + | 0.618299i | ||||
\(786\) | −0.846936 | − | 26.4278i | −0.0302092 | − | 0.942649i | ||||
\(787\) | 41.3224i | 1.47298i | 0.676447 | + | 0.736492i | \(0.263519\pi\) | ||||
−0.676447 | + | 0.736492i | \(0.736481\pi\) | |||||||
\(788\) | 31.7695 | + | 36.2049i | 1.13174 | + | 1.28975i | ||||
\(789\) | −8.09708 | − | 9.24850i | −0.288264 | − | 0.329255i | ||||
\(790\) | −2.67570 | − | 0.441359i | −0.0951971 | − | 0.0157029i | ||||
\(791\) | −35.4278 | + | 15.0526i | −1.25967 | + | 0.535210i | ||||
\(792\) | −32.2936 | + | 14.5841i | −1.14750 | + | 0.518225i | ||||
\(793\) | 4.82138 | + | 8.35087i | 0.171212 | + | 0.296548i | ||||
\(794\) | 8.59316 | + | 7.05013i | 0.304960 | + | 0.250200i | ||||
\(795\) | 3.14939 | + | 3.59724i | 0.111697 | + | 0.127581i | ||||
\(796\) | 4.76734 | + | 23.9306i | 0.168974 | + | 0.848197i | ||||
\(797\) | −16.2710 | − | 28.1822i | −0.576348 | − | 0.998265i | −0.995894 | − | 0.0905304i | \(-0.971144\pi\) |
0.419545 | − | 0.907734i | \(-0.362190\pi\) | |||||||
\(798\) | −12.5321 | + | 17.8019i | −0.443633 | + | 0.630180i | ||||
\(799\) | 40.2611 | + | 23.2447i | 1.42433 | + | 0.822340i | ||||
\(800\) | −17.9578 | + | 16.8439i | −0.634904 | + | 0.595522i | ||||
\(801\) | −8.93619 | + | 11.6057i | −0.315745 | + | 0.410068i | ||||
\(802\) | −1.63746 | + | 9.92696i | −0.0578208 | + | 0.350533i | ||||
\(803\) | − | 25.6315i | − | 0.904515i | ||||||
\(804\) | −17.1797 | − | 13.1972i | −0.605880 | − | 0.465431i | ||||
\(805\) | −1.90733 | − | 4.48909i | −0.0672246 | − | 0.158220i | ||||
\(806\) | 45.3117 | + | 37.1753i | 1.59604 | + | 1.30945i | ||||
\(807\) | −13.5690 | − | 4.61868i | −0.477650 | − | 0.162585i | ||||
\(808\) | −16.5412 | + | 0.548740i | −0.581917 | + | 0.0193046i | ||||
\(809\) | 6.96555 | − | 12.0647i | 0.244896 | − | 0.424172i | −0.717207 | − | 0.696861i | \(-0.754580\pi\) |
0.962102 | + | 0.272689i | \(0.0879129\pi\) | |||||||
\(810\) | −5.93930 | − | 8.34441i | −0.208686 | − | 0.293193i | ||||
\(811\) | − | 19.4191i | − | 0.681896i | −0.940082 | − | 0.340948i | \(-0.889252\pi\) | ||
0.940082 | − | 0.340948i | \(-0.110748\pi\) | |||||||
\(812\) | 2.03795 | + | 27.1900i | 0.0715181 | + | 0.954182i | ||||
\(813\) | 19.8009 | − | 17.3357i | 0.694449 | − | 0.607991i | ||||
\(814\) | 28.7733 | + | 4.74619i | 1.00850 | + | 0.166354i | ||||
\(815\) | 4.59771 | 0.161051 | ||||||||
\(816\) | −32.4683 | − | 16.0218i | −1.13662 | − | 0.560874i | ||||
\(817\) | 31.1929i | 1.09130i | ||||||||
\(818\) | −9.80869 | − | 26.0496i | −0.342953 | − | 0.910801i | ||||
\(819\) | 24.8930 | − | 25.2643i | 0.869833 | − | 0.882807i | ||||
\(820\) | −5.90961 | − | 6.73466i | −0.206373 | − | 0.235185i | ||||
\(821\) | − | 34.9473i | − | 1.21967i | −0.792528 | − | 0.609835i | \(-0.791236\pi\) | ||
0.792528 | − | 0.609835i | \(-0.208764\pi\) | |||||||
\(822\) | 4.38425 | − | 8.18879i | 0.152918 | − | 0.285617i | ||||
\(823\) | 0.685412i | 0.0238920i | 0.999929 | + | 0.0119460i | \(0.00380262\pi\) | ||||
−0.999929 | + | 0.0119460i | \(0.996197\pi\) | |||||||
\(824\) | −27.7878 | − | 44.6429i | −0.968035 | − | 1.55521i | ||||
\(825\) | 29.8019 | + | 10.1441i | 1.03757 | + | 0.353173i | ||||
\(826\) | 14.8962 | − | 3.61839i | 0.518307 | − | 0.125900i | ||||
\(827\) | 26.3012 | 0.914582 | 0.457291 | − | 0.889317i | \(-0.348820\pi\) | ||||
0.457291 | + | 0.889317i | \(0.348820\pi\) | |||||||
\(828\) | −11.4394 | + | 7.62081i | −0.397547 | + | 0.264841i | ||||
\(829\) | 11.6766 | − | 20.2245i | 0.405546 | − | 0.702425i | −0.588839 | − | 0.808250i | \(-0.700415\pi\) |
0.994385 | + | 0.105825i | \(0.0337482\pi\) | |||||||
\(830\) | 5.94577 | − | 7.24709i | 0.206381 | − | 0.251550i | ||||
\(831\) | 23.8937 | + | 27.2915i | 0.828865 | + | 0.946732i | ||||
\(832\) | 15.7829 | − | 32.0752i | 0.547173 | − | 1.11201i | ||||
\(833\) | 26.3320 | + | 25.3935i | 0.912349 | + | 0.879831i | ||||
\(834\) | −5.52724 | − | 2.95927i | −0.191393 | − | 0.102471i | ||||
\(835\) | 4.67830 | 0.161899 | ||||||||
\(836\) | 27.5157 | − | 5.48156i | 0.951652 | − | 0.189584i | ||||
\(837\) | 26.6739 | + | 40.1374i | 0.921985 | + | 1.38735i | ||||
\(838\) | 4.13639 | − | 5.04171i | 0.142889 | − | 0.174163i | ||||
\(839\) | −14.5017 | + | 25.1176i | −0.500654 | + | 0.867157i | 0.499346 | + | 0.866403i | \(0.333574\pi\) |
−1.00000 | 0.000754864i | \(0.999760\pi\) | ||||||||
\(840\) | 6.14869 | + | 8.42517i | 0.212150 | + | 0.290696i | ||||
\(841\) | −1.22413 | − | 2.12025i | −0.0422113 | − | 0.0731122i | ||||
\(842\) | −0.394417 | − | 0.0650594i | −0.0135925 | − | 0.00224210i | ||||
\(843\) | −19.7622 | − | 6.72674i | −0.680645 | − | 0.231681i | ||||
\(844\) | −22.3800 | − | 7.58971i | −0.770351 | − | 0.261249i | ||||
\(845\) | −2.80339 | − | 4.85562i | −0.0964397 | − | 0.167038i | ||||
\(846\) | −27.5860 | + | 25.7584i | −0.948427 | + | 0.885591i | ||||
\(847\) | −13.6081 | − | 10.2471i | −0.467581 | − | 0.352095i | ||||
\(848\) | −8.34649 | + | 10.8905i | −0.286620 | + | 0.373981i | ||||
\(849\) | 22.6950 | − | 4.49463i | 0.778890 | − | 0.154255i | ||||
\(850\) | 11.3352 | + | 30.1036i | 0.388795 | + | 1.03255i | ||||
\(851\) | 11.3124 | 0.387785 | ||||||||
\(852\) | −22.5147 | + | 29.3088i | −0.771341 | + | 1.00410i | ||||
\(853\) | −0.261399 | + | 0.452756i | −0.00895013 | + | 0.0155021i | −0.870466 | − | 0.492229i | \(-0.836182\pi\) |
0.861516 | + | 0.507731i | \(0.169516\pi\) | |||||||
\(854\) | −1.90587 | − | 7.84612i | −0.0652177 | − | 0.268489i | ||||
\(855\) | 3.09096 | + | 7.49761i | 0.105709 | + | 0.256413i | ||||
\(856\) | −2.01650 | + | 0.0668957i | −0.0689225 | + | 0.00228645i | ||||
\(857\) | 33.8028 | − | 19.5161i | 1.15468 | − | 0.666657i | 0.204659 | − | 0.978833i | \(-0.434391\pi\) |
0.950024 | + | 0.312177i | \(0.101058\pi\) | |||||||
\(858\) | −45.6846 | + | 1.46406i | −1.55964 | + | 0.0499822i | ||||
\(859\) | −10.5834 | − | 6.11034i | −0.361102 | − | 0.208482i | 0.308462 | − | 0.951237i | \(-0.400186\pi\) |
−0.669564 | + | 0.742754i | \(0.733519\pi\) | |||||||
\(860\) | 14.1527 | + | 4.79960i | 0.482603 | + | 0.163665i | ||||
\(861\) | 21.0949 | − | 14.3479i | 0.718911 | − | 0.488973i | ||||
\(862\) | 21.1670 | + | 3.49151i | 0.720950 | + | 0.118921i | ||||
\(863\) | 27.3951 | − | 15.8166i | 0.932539 | − | 0.538402i | 0.0449255 | − | 0.998990i | \(-0.485695\pi\) |
0.887614 | + | 0.460589i | \(0.152362\pi\) | |||||||
\(864\) | 20.1315 | − | 21.4178i | 0.684887 | − | 0.728650i | ||||
\(865\) | −1.58208 | + | 2.74024i | −0.0537923 | + | 0.0931711i | ||||
\(866\) | 3.10257 | + | 8.23968i | 0.105430 | + | 0.279996i | ||||
\(867\) | −13.4360 | + | 11.7633i | −0.456312 | + | 0.399502i | ||||
\(868\) | −27.6464 | − | 40.5488i | −0.938381 | − | 1.37632i | ||||
\(869\) | −8.61783 | + | 4.97551i | −0.292340 | + | 0.168783i | ||||
\(870\) | 8.95430 | + | 4.79410i | 0.303579 | + | 0.162535i | ||||
\(871\) | −13.9724 | − | 24.2008i | −0.473435 | − | 0.820014i | ||||
\(872\) | 10.4243 | − | 6.48856i | 0.353011 | − | 0.219730i | ||||
\(873\) | −24.8566 | − | 3.31464i | −0.841268 | − | 0.112184i | ||||
\(874\) | 10.1854 | − | 3.83520i | 0.344526 | − | 0.129728i | ||||
\(875\) | 2.41985 | − | 19.7644i | 0.0818057 | − | 0.668157i | ||||
\(876\) | 8.12604 | + | 19.6482i | 0.274553 | + | 0.663850i | ||||
\(877\) | 20.1898 | + | 11.6566i | 0.681760 | + | 0.393615i | 0.800518 | − | 0.599309i | \(-0.204558\pi\) |
−0.118758 | + | 0.992923i | \(0.537891\pi\) | |||||||
\(878\) | 7.50116 | − | 2.82449i | 0.253152 | − | 0.0953218i | ||||
\(879\) | 13.6586 | − | 11.9581i | 0.460694 | − | 0.403338i | ||||
\(880\) | 1.74673 | − | 13.3277i | 0.0588822 | − | 0.449278i | ||||
\(881\) | − | 0.502608i | − | 0.0169333i | −0.999964 | − | 0.00846665i | \(-0.997305\pi\) | ||
0.999964 | − | 0.00846665i | \(-0.00269505\pi\) | |||||||
\(882\) | −25.9555 | + | 14.4331i | −0.873966 | + | 0.485988i | ||||
\(883\) | −32.7335 | −1.10157 | −0.550786 | − | 0.834647i | \(-0.685672\pi\) | ||||
−0.550786 | + | 0.834647i | \(0.685672\pi\) | |||||||
\(884\) | −30.8043 | − | 35.1049i | −1.03606 | − | 1.18071i | ||||
\(885\) | 1.84004 | − | 5.40576i | 0.0618522 | − | 0.181713i | ||||
\(886\) | −34.2308 | + | 12.8893i | −1.15001 | + | 0.433023i | ||||
\(887\) | −1.08547 | + | 1.88008i | −0.0364464 | + | 0.0631270i | −0.883673 | − | 0.468104i | \(-0.844937\pi\) |
0.847227 | + | 0.531231i | \(0.178270\pi\) | |||||||
\(888\) | −23.5613 | + | 5.48385i | −0.790665 | + | 0.184026i | ||||
\(889\) | −52.2404 | − | 6.39605i | −1.75209 | − | 0.214517i | ||||
\(890\) | −1.95801 | − | 5.20001i | −0.0656327 | − | 0.174305i | ||||
\(891\) | −36.2702 | − | 9.84845i | −1.21510 | − | 0.329936i | ||||
\(892\) | 9.34980 | + | 46.9331i | 0.313054 | + | 1.57144i | ||||
\(893\) | 25.8803 | − | 14.9420i | 0.866052 | − | 0.500016i | ||||
\(894\) | −0.859519 | − | 26.8205i | −0.0287466 | − | 0.897010i | ||||
\(895\) | −9.58802 | − | 16.6069i | −0.320492 | − | 0.555109i | ||||
\(896\) | −20.2406 | + | 22.0526i | −0.676193 | + | 0.736725i | ||||
\(897\) | −17.3930 | + | 3.44460i | −0.580736 | + | 0.115012i | ||||
\(898\) | 50.9474 | − | 19.1837i | 1.70014 | − | 0.640169i | ||||
\(899\) | −41.3880 | − | 23.8954i | −1.38037 | − | 0.796955i | ||||
\(900\) | −26.0611 | + | 1.67208i | −0.868702 | + | 0.0557361i | ||||
\(901\) | 8.96312 | + | 15.5246i | 0.298605 | + | 0.517199i | ||||
\(902\) | −32.4394 | − | 5.35091i | −1.08011 | − | 0.178166i | ||||
\(903\) | −18.5052 | + | 38.3173i | −0.615816 | + | 1.27512i | ||||
\(904\) | −41.1282 | + | 1.36439i | −1.36790 | + | 0.0453790i | ||||
\(905\) | −1.31835 | + | 2.28345i | −0.0438235 | + | 0.0759045i | ||||
\(906\) | −38.1255 | − | 20.4123i | −1.26663 | − | 0.678152i | ||||
\(907\) | −4.51111 | − | 7.81347i | −0.149789 | − | 0.259442i | 0.781360 | − | 0.624080i | \(-0.214526\pi\) |
−0.931149 | + | 0.364638i | \(0.881193\pi\) | |||||||
\(908\) | 0.0372300 | − | 0.109781i | 0.00123552 | − | 0.00364321i | ||||
\(909\) | −13.9089 | − | 10.7096i | −0.461327 | − | 0.355214i | ||||
\(910\) | 3.17582 | + | 13.0742i | 0.105277 | + | 0.433407i | ||||
\(911\) | 21.6895 | + | 12.5224i | 0.718604 | + | 0.414886i | 0.814239 | − | 0.580530i | \(-0.197155\pi\) |
−0.0956345 | + | 0.995417i | \(0.530488\pi\) | |||||||
\(912\) | −19.3547 | + | 12.9254i | −0.640899 | + | 0.428002i | ||||
\(913\) | − | 34.3975i | − | 1.13839i | ||||||
\(914\) | −27.4612 | + | 10.3402i | −0.908337 | + | 0.342025i | ||||
\(915\) | −2.84731 | − | 0.969182i | −0.0941292 | − | 0.0320402i | ||||
\(916\) | 4.72012 | + | 23.6936i | 0.155957 | + | 0.782858i | ||||
\(917\) | −17.1800 | + | 22.8149i | −0.567332 | + | 0.753415i | ||||
\(918\) | −15.7665 | − | 35.0167i | −0.520371 | − | 1.15572i | ||||
\(919\) | 31.6326 | − | 18.2631i | 1.04346 | − | 0.602444i | 0.122652 | − | 0.992450i | \(-0.460860\pi\) |
0.920813 | + | 0.390006i | \(0.127527\pi\) | |||||||
\(920\) | −0.172883 | − | 5.21138i | −0.00569979 | − | 0.171814i | ||||
\(921\) | 34.7176 | − | 6.87564i | 1.14398 | − | 0.226560i | ||||
\(922\) | 4.83259 | − | 29.2971i | 0.159153 | − | 0.964850i | ||||
\(923\) | −41.2870 | + | 23.8371i | −1.35898 | + | 0.784607i | ||||
\(924\) | 37.0522 | + | 9.59020i | 1.21893 | + | 0.315495i | ||||
\(925\) | 18.6128 | + | 10.7461i | 0.611986 | + | 0.353330i | ||||
\(926\) | −0.555953 | + | 0.677632i | −0.0182698 | + | 0.0222684i | ||||
\(927\) | 7.37231 | − | 55.2851i | 0.242138 | − | 1.81580i | ||||
\(928\) | −8.44114 | + | 27.8999i | −0.277094 | + | 0.915858i | ||||
\(929\) | − | 9.19393i | − | 0.301643i | −0.988561 | − | 0.150822i | \(-0.951808\pi\) | ||
0.988561 | − | 0.150822i | \(-0.0481919\pi\) | |||||||
\(930\) | −18.2721 | + | 0.585570i | −0.599167 | + | 0.0192016i | ||||
\(931\) | 22.5996 | − | 6.49719i | 0.740672 | − | 0.212937i | ||||
\(932\) | −47.6866 | − | 16.1719i | −1.56203 | − | 0.529729i | ||||
\(933\) | −2.15658 | − | 10.8893i | −0.0706032 | − | 0.356501i | ||||
\(934\) | −0.252598 | + | 0.307883i | −0.00826527 | + | 0.0100742i | ||||
\(935\) | −15.2086 | − | 8.78066i | −0.497373 | − | 0.287158i | ||||
\(936\) | 34.5560 | − | 15.6058i | 1.12950 | − | 0.510093i | ||||
\(937\) | 57.2969i | 1.87181i | 0.352255 | + | 0.935904i | \(0.385415\pi\) | ||||
−0.352255 | + | 0.935904i | \(0.614585\pi\) | |||||||
\(938\) | 5.52322 | + | 22.7381i | 0.180340 | + | 0.742424i | ||||
\(939\) | 30.8382 | − | 6.10735i | 1.00637 | − | 0.199306i | ||||
\(940\) | −2.79726 | − | 14.0414i | −0.0912366 | − | 0.457980i | ||||
\(941\) | 30.6212 | 0.998223 | 0.499112 | − | 0.866538i | \(-0.333660\pi\) | ||||
0.499112 | + | 0.866538i | \(0.333660\pi\) | |||||||
\(942\) | −32.1179 | − | 51.7292i | −1.04646 | − | 1.68543i | ||||
\(943\) | −12.7538 | −0.415321 | ||||||||
\(944\) | 16.2489 | + | 2.12957i | 0.528856 | + | 0.0693117i | ||||
\(945\) | −0.651032 | + | 11.0438i | −0.0211781 | + | 0.359254i | ||||
\(946\) | 51.3201 | − | 19.3241i | 1.66856 | − | 0.628279i | ||||
\(947\) | −21.4185 | −0.696009 | −0.348004 | − | 0.937493i | \(-0.613141\pi\) | ||||
−0.348004 | + | 0.937493i | \(0.613141\pi\) | |||||||
\(948\) | 5.02872 | − | 6.54619i | 0.163325 | − | 0.212610i | ||||
\(949\) | 27.4271i | 0.890322i | ||||||||
\(950\) | 20.4017 | + | 3.36528i | 0.661918 | + | 0.109184i | ||||
\(951\) | −10.7471 | + | 2.12841i | −0.348498 | + | 0.0690183i | ||||
\(952\) | 16.4778 | + | 35.4663i | 0.534048 | + | 1.14947i | ||||
\(953\) | 9.56899 | 0.309970 | 0.154985 | − | 0.987917i | \(-0.450467\pi\) | ||||
0.154985 | + | 0.987917i | \(0.450467\pi\) | |||||||
\(954\) | −14.1782 | + | 3.28313i | −0.459036 | + | 0.106295i | ||||
\(955\) | 9.38750 | + | 5.41987i | 0.303772 | + | 0.175383i | ||||
\(956\) | 14.7221 | − | 43.4116i | 0.476148 | − | 1.40403i | ||||
\(957\) | 36.5602 | − | 7.24056i | 1.18182 | − | 0.234054i | ||||
\(958\) | 28.3408 | + | 23.2517i | 0.915648 | + | 0.751230i | ||||
\(959\) | −9.23391 | + | 3.92332i | −0.298179 | + | 0.126691i | ||||
\(960\) | 2.88636 | + | 10.7703i | 0.0931569 | + | 0.347611i | ||||
\(961\) | 55.0189 | 1.77480 | ||||||||
\(962\) | −30.7890 | − | 5.07868i | −0.992678 | − | 0.163743i | ||||
\(963\) | −1.69560 | − | 1.30558i | −0.0546399 | − | 0.0420717i | ||||
\(964\) | −5.12518 | + | 15.1128i | −0.165071 | + | 0.486749i | ||||
\(965\) | 5.47006 | − | 9.47442i | 0.176088 | − | 0.304992i | ||||
\(966\) | 14.7870 | + | 1.33134i | 0.475763 | + | 0.0428350i | ||||
\(967\) | 7.00100 | − | 4.04203i | 0.225137 | − | 0.129983i | −0.383190 | − | 0.923670i | \(-0.625174\pi\) |
0.608327 | + | 0.793687i | \(0.291841\pi\) | |||||||
\(968\) | −9.62339 | − | 15.4606i | −0.309307 | − | 0.496922i | ||||
\(969\) | 5.90718 | + | 29.8275i | 0.189766 | + | 0.958196i | ||||
\(970\) | 6.03370 | − | 7.35427i | 0.193731 | − | 0.236131i | ||||
\(971\) | 8.36682 | − | 4.83059i | 0.268504 | − | 0.155021i | −0.359704 | − | 0.933067i | \(-0.617122\pi\) |
0.628208 | + | 0.778046i | \(0.283789\pi\) | |||||||
\(972\) | 30.9258 | − | 3.94942i | 0.991944 | − | 0.126678i | ||||
\(973\) | 2.64815 | + | 6.23268i | 0.0848957 | + | 0.199810i | ||||
\(974\) | −10.1611 | − | 1.67608i | −0.325581 | − | 0.0537050i | ||||
\(975\) | −31.8896 | − | 10.8548i | −1.02129 | − | 0.347631i | ||||
\(976\) | 1.12168 | − | 8.55858i | 0.0359042 | − | 0.273953i | ||||
\(977\) | −59.5605 | −1.90551 | −0.952755 | − | 0.303741i | \(-0.901764\pi\) | ||||
−0.952755 | + | 0.303741i | \(0.901764\pi\) | |||||||
\(978\) | −6.60576 | + | 12.3381i | −0.211229 | + | 0.394528i | ||||
\(979\) | −17.6574 | − | 10.1945i | −0.564333 | − | 0.325818i | ||||
\(980\) | 0.529486 | − | 11.2535i | 0.0169138 | − | 0.359480i | ||||
\(981\) | 12.9093 | + | 1.72146i | 0.412162 | + | 0.0549621i | ||||
\(982\) | 13.6025 | + | 11.1600i | 0.434073 | + | 0.356129i | ||||
\(983\) | 12.3019 | + | 21.3075i | 0.392369 | + | 0.679603i | 0.992762 | − | 0.120102i | \(-0.0383223\pi\) |
−0.600393 | + | 0.799705i | \(0.704989\pi\) | |||||||
\(984\) | 26.5633 | − | 6.18256i | 0.846807 | − | 0.197093i | ||||
\(985\) | −16.7839 | − | 9.69020i | −0.534780 | − | 0.308756i | ||||
\(986\) | 29.4416 | + | 24.1549i | 0.937612 | + | 0.769249i | ||||
\(987\) | 40.6557 | − | 3.00121i | 1.29409 | − | 0.0955297i | ||||
\(988\) | −29.4434 | + | 5.86557i | −0.936718 | + | 0.186609i | ||||
\(989\) | 18.4224 | − | 10.6362i | 0.585799 | − | 0.338211i | ||||
\(990\) | 10.4206 | − | 9.73018i | 0.331188 | − | 0.309245i | ||||
\(991\) | 39.0527 | + | 22.5471i | 1.24055 | + | 0.716232i | 0.969206 | − | 0.246250i | \(-0.0791985\pi\) |
0.271344 | + | 0.962482i | \(0.412532\pi\) | |||||||
\(992\) | −11.9508 | − | 51.0860i | −0.379440 | − | 1.62198i | ||||
\(993\) | 0.283818 | + | 1.43310i | 0.00900668 | + | 0.0454780i | ||||
\(994\) | 38.7915 | − | 9.42271i | 1.23039 | − | 0.298870i | ||||
\(995\) | −4.90890 | − | 8.50247i | −0.155623 | − | 0.269546i | ||||
\(996\) | 10.9052 | + | 26.3679i | 0.345544 | + | 0.835499i | ||||
\(997\) | −26.9649 | − | 46.7046i | −0.853988 | − | 1.47915i | −0.877581 | − | 0.479428i | \(-0.840844\pi\) |
0.0235932 | − | 0.999722i | \(-0.492489\pi\) | |||||||
\(998\) | 0.306968 | − | 1.86096i | 0.00971690 | − | 0.0589078i | ||||
\(999\) | −22.9839 | − | 11.4060i | −0.727179 | − | 0.360871i |
(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 | 504.2.bf.b.115.12 | yes | 180 | |
7.5 | odd | 6 | 504.2.cz.b.187.71 | yes | 180 | ||
8.3 | odd | 2 | inner | 504.2.bf.b.115.11 | ✓ | 180 | |
9.4 | even | 3 | 504.2.cz.b.283.49 | yes | 180 | ||
56.19 | even | 6 | 504.2.cz.b.187.49 | yes | 180 | ||
63.40 | odd | 6 | inner | 504.2.bf.b.355.12 | yes | 180 | |
72.67 | odd | 6 | 504.2.cz.b.283.71 | yes | 180 | ||
504.355 | even | 6 | inner | 504.2.bf.b.355.11 | yes | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bf.b.115.11 | ✓ | 180 | 8.3 | odd | 2 | inner | |
504.2.bf.b.115.12 | yes | 180 | 1.1 | even | 1 | trivial | |
504.2.bf.b.355.11 | yes | 180 | 504.355 | even | 6 | inner | |
504.2.bf.b.355.12 | yes | 180 | 63.40 | odd | 6 | inner | |
504.2.cz.b.187.49 | yes | 180 | 56.19 | even | 6 | ||
504.2.cz.b.187.71 | yes | 180 | 7.5 | odd | 6 | ||
504.2.cz.b.283.49 | yes | 180 | 9.4 | even | 3 | ||
504.2.cz.b.283.71 | yes | 180 | 72.67 | odd | 6 |