Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(7,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bd (of order \(12\), degree \(4\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.1 | ||
Character | \(\chi\) | \(=\) | 390.37 |
Dual form | 390.2.bd.c.253.1 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | −0.965926 | − | 0.258819i | −0.557678 | − | 0.149429i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −2.10895 | − | 0.743195i | −0.943150 | − | 0.332367i | ||||
\(6\) | −0.965926 | + | 0.258819i | −0.394338 | + | 0.105662i | ||||
\(7\) | 0.0343211 | − | 0.0594459i | 0.0129722 | − | 0.0224684i | −0.859466 | − | 0.511192i | \(-0.829204\pi\) |
0.872439 | + | 0.488724i | \(0.162537\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | −2.19800 | + | 0.410849i | −0.695069 | + | 0.129922i | ||||
\(11\) | −5.23449 | − | 1.40258i | −1.57826 | − | 0.422893i | −0.639872 | − | 0.768481i | \(-0.721013\pi\) |
−0.938386 | + | 0.345588i | \(0.887679\pi\) | |||||||
\(12\) | −0.707107 | + | 0.707107i | −0.204124 | + | 0.204124i | ||||
\(13\) | −1.29893 | − | 3.36345i | −0.360259 | − | 0.932852i | ||||
\(14\) | − | 0.0686422i | − | 0.0183454i | ||||||
\(15\) | 1.84473 | + | 1.26371i | 0.476308 | + | 0.326288i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.880498 | − | 3.28606i | −0.213552 | − | 0.796987i | −0.986671 | − | 0.162727i | \(-0.947971\pi\) |
0.773119 | − | 0.634261i | \(-0.218695\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | 0.295488 | + | 1.10278i | 0.0677895 | + | 0.252994i | 0.991502 | − | 0.130093i | \(-0.0415276\pi\) |
−0.923712 | + | 0.383087i | \(0.874861\pi\) | |||||||
\(20\) | −1.69810 | + | 1.45481i | −0.379707 | + | 0.325304i | ||||
\(21\) | −0.0485374 | + | 0.0485374i | −0.0105917 | + | 0.0105917i | ||||
\(22\) | −5.23449 | + | 1.40258i | −1.11600 | + | 0.299031i | ||||
\(23\) | −0.462831 | + | 1.72731i | −0.0965070 | + | 0.360169i | −0.997244 | − | 0.0741966i | \(-0.976361\pi\) |
0.900737 | + | 0.434366i | \(0.143027\pi\) | |||||||
\(24\) | −0.258819 | + | 0.965926i | −0.0528312 | + | 0.197169i | ||||
\(25\) | 3.89532 | + | 3.13472i | 0.779065 | + | 0.626944i | ||||
\(26\) | −2.80663 | − | 2.26336i | −0.550426 | − | 0.443882i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | −0.0343211 | − | 0.0594459i | −0.00648608 | − | 0.0112342i | ||||
\(29\) | −3.37291 | + | 1.94735i | −0.626334 | + | 0.361614i | −0.779331 | − | 0.626613i | \(-0.784441\pi\) |
0.152997 | + | 0.988227i | \(0.451107\pi\) | |||||||
\(30\) | 2.22944 | + | 0.172035i | 0.407038 | + | 0.0314092i | ||||
\(31\) | −2.29267 | − | 2.29267i | −0.411775 | − | 0.411775i | 0.470582 | − | 0.882356i | \(-0.344044\pi\) |
−0.882356 | + | 0.470582i | \(0.844044\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 4.69312 | + | 2.70957i | 0.816967 | + | 0.471676i | ||||
\(34\) | −2.40557 | − | 2.40557i | −0.412551 | − | 0.412551i | ||||
\(35\) | −0.116561 | + | 0.0998611i | −0.0197025 | + | 0.0168796i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | −2.20233 | − | 3.81454i | −0.362060 | − | 0.627107i | 0.626239 | − | 0.779631i | \(-0.284593\pi\) |
−0.988300 | + | 0.152524i | \(0.951260\pi\) | |||||||
\(38\) | 0.807288 | + | 0.807288i | 0.130959 | + | 0.130959i | ||||
\(39\) | 0.384149 | + | 3.58503i | 0.0615130 | + | 0.574064i | ||||
\(40\) | −0.743195 | + | 2.10895i | −0.117509 | + | 0.333454i | ||||
\(41\) | 1.47354 | − | 5.49931i | 0.230128 | − | 0.858848i | −0.750157 | − | 0.661259i | \(-0.770022\pi\) |
0.980285 | − | 0.197589i | \(-0.0633110\pi\) | |||||||
\(42\) | −0.0177659 | + | 0.0663033i | −0.00274134 | + | 0.0102308i | ||||
\(43\) | 8.55839 | − | 2.29321i | 1.30514 | − | 0.349712i | 0.461750 | − | 0.887010i | \(-0.347222\pi\) |
0.843392 | + | 0.537298i | \(0.180555\pi\) | |||||||
\(44\) | −3.83191 | + | 3.83191i | −0.577683 | + | 0.577683i | ||||
\(45\) | −1.45481 | − | 1.69810i | −0.216870 | − | 0.253138i | ||||
\(46\) | 0.462831 | + | 1.72731i | 0.0682408 | + | 0.254678i | ||||
\(47\) | 9.48215 | 1.38311 | 0.691557 | − | 0.722322i | \(-0.256925\pi\) | ||||
0.691557 | + | 0.722322i | \(0.256925\pi\) | |||||||
\(48\) | 0.258819 | + | 0.965926i | 0.0373573 | + | 0.139419i | ||||
\(49\) | 3.49764 | + | 6.05810i | 0.499663 | + | 0.865442i | ||||
\(50\) | 4.94081 | + | 0.767084i | 0.698736 | + | 0.108482i | ||||
\(51\) | 3.40198i | 0.476373i | ||||||||
\(52\) | −3.56230 | − | 0.556815i | −0.494002 | − | 0.0772163i | ||||
\(53\) | 5.48446 | − | 5.48446i | 0.753349 | − | 0.753349i | −0.221754 | − | 0.975103i | \(-0.571178\pi\) |
0.975103 | + | 0.221754i | \(0.0711782\pi\) | |||||||
\(54\) | −0.965926 | − | 0.258819i | −0.131446 | − | 0.0352208i | ||||
\(55\) | 9.99688 | + | 6.84821i | 1.34798 | + | 0.923413i | ||||
\(56\) | −0.0594459 | − | 0.0343211i | −0.00794379 | − | 0.00458635i | ||||
\(57\) | − | 1.14168i | − | 0.151219i | ||||||
\(58\) | −1.94735 | + | 3.37291i | −0.255700 | + | 0.442885i | ||||
\(59\) | −5.49573 | + | 1.47258i | −0.715482 | + | 0.191713i | −0.598155 | − | 0.801380i | \(-0.704099\pi\) |
−0.117327 | + | 0.993093i | \(0.537433\pi\) | |||||||
\(60\) | 2.01677 | − | 0.965733i | 0.260364 | − | 0.124676i | ||||
\(61\) | 3.87879 | − | 6.71827i | 0.496629 | − | 0.860186i | −0.503364 | − | 0.864075i | \(-0.667904\pi\) |
0.999992 | + | 0.00388852i | \(0.00123776\pi\) | |||||||
\(62\) | −3.13184 | − | 0.839174i | −0.397744 | − | 0.106575i | ||||
\(63\) | 0.0594459 | − | 0.0343211i | 0.00748948 | − | 0.00432405i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0.239686 | + | 8.05869i | 0.0297294 | + | 0.999558i | ||||
\(66\) | 5.41914 | 0.667051 | ||||||||
\(67\) | 0.899528 | − | 0.519343i | 0.109895 | − | 0.0634478i | −0.444045 | − | 0.896004i | \(-0.646457\pi\) |
0.553940 | + | 0.832557i | \(0.313124\pi\) | |||||||
\(68\) | −3.28606 | − | 0.880498i | −0.398494 | − | 0.106776i | ||||
\(69\) | 0.894121 | − | 1.54866i | 0.107640 | − | 0.186437i | ||||
\(70\) | −0.0510145 | + | 0.144763i | −0.00609740 | + | 0.0173025i | ||||
\(71\) | −5.00578 | + | 1.34130i | −0.594077 | + | 0.159182i | −0.543316 | − | 0.839528i | \(-0.682831\pi\) |
−0.0507612 | + | 0.998711i | \(0.516165\pi\) | |||||||
\(72\) | 0.500000 | − | 0.866025i | 0.0589256 | − | 0.102062i | ||||
\(73\) | − | 11.8364i | − | 1.38535i | −0.721249 | − | 0.692676i | \(-0.756432\pi\) | ||
0.721249 | − | 0.692676i | \(-0.243568\pi\) | |||||||
\(74\) | −3.81454 | − | 2.20233i | −0.443431 | − | 0.256015i | ||||
\(75\) | −2.95127 | − | 4.03609i | −0.340783 | − | 0.466047i | ||||
\(76\) | 1.10278 | + | 0.295488i | 0.126497 | + | 0.0338948i | ||||
\(77\) | −0.263031 | + | 0.263031i | −0.0299752 | + | 0.0299752i | ||||
\(78\) | 2.12520 | + | 2.91265i | 0.240631 | + | 0.329793i | ||||
\(79\) | 11.5811i | 1.30298i | 0.758657 | + | 0.651490i | \(0.225856\pi\) | ||||
−0.758657 | + | 0.651490i | \(0.774144\pi\) | |||||||
\(80\) | 0.410849 | + | 2.19800i | 0.0459343 | + | 0.245744i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −1.47354 | − | 5.49931i | −0.162725 | − | 0.607297i | ||||
\(83\) | −4.93743 | −0.541953 | −0.270977 | − | 0.962586i | \(-0.587347\pi\) | ||||
−0.270977 | + | 0.962586i | \(0.587347\pi\) | |||||||
\(84\) | 0.0177659 | + | 0.0663033i | 0.00193842 | + | 0.00723428i | ||||
\(85\) | −0.585260 | + | 7.58452i | −0.0634804 | + | 0.822656i | ||||
\(86\) | 6.26518 | − | 6.26518i | 0.675591 | − | 0.675591i | ||||
\(87\) | 3.76199 | − | 1.00802i | 0.403328 | − | 0.108071i | ||||
\(88\) | −1.40258 | + | 5.23449i | −0.149515 | + | 0.557999i | ||||
\(89\) | −0.0552889 | + | 0.206341i | −0.00586061 | + | 0.0218721i | −0.968794 | − | 0.247866i | \(-0.920271\pi\) |
0.962934 | + | 0.269739i | \(0.0869373\pi\) | |||||||
\(90\) | −2.10895 | − | 0.743195i | −0.222303 | − | 0.0783396i | ||||
\(91\) | −0.244524 | − | 0.0382210i | −0.0256331 | − | 0.00400665i | ||||
\(92\) | 1.26448 | + | 1.26448i | 0.131831 | + | 0.131831i | ||||
\(93\) | 1.62116 | + | 2.80793i | 0.168106 | + | 0.291169i | ||||
\(94\) | 8.21179 | − | 4.74108i | 0.846981 | − | 0.489005i | ||||
\(95\) | 0.196408 | − | 2.54530i | 0.0201511 | − | 0.261142i | ||||
\(96\) | 0.707107 | + | 0.707107i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | 12.0237 | + | 6.94187i | 1.22082 | + | 0.704840i | 0.965093 | − | 0.261909i | \(-0.0843520\pi\) |
0.255726 | + | 0.966749i | \(0.417685\pi\) | |||||||
\(98\) | 6.05810 | + | 3.49764i | 0.611960 | + | 0.353315i | ||||
\(99\) | −3.83191 | − | 3.83191i | −0.385122 | − | 0.385122i | ||||
\(100\) | 4.66241 | − | 1.80609i | 0.466241 | − | 0.180609i | ||||
\(101\) | 4.74629 | − | 2.74027i | 0.472273 | − | 0.272667i | −0.244917 | − | 0.969544i | \(-0.578761\pi\) |
0.717191 | + | 0.696877i | \(0.245428\pi\) | |||||||
\(102\) | 1.70099 | + | 2.94620i | 0.168423 | + | 0.291718i | ||||
\(103\) | −0.979342 | − | 0.979342i | −0.0964974 | − | 0.0964974i | 0.657210 | − | 0.753707i | \(-0.271736\pi\) |
−0.753707 | + | 0.657210i | \(0.771736\pi\) | |||||||
\(104\) | −3.36345 | + | 1.29893i | −0.329813 | + | 0.127371i | ||||
\(105\) | 0.138436 | − | 0.0662901i | 0.0135099 | − | 0.00646925i | ||||
\(106\) | 2.00745 | − | 7.49191i | 0.194981 | − | 0.727679i | ||||
\(107\) | −2.80142 | + | 10.4550i | −0.270824 | + | 1.01073i | 0.687765 | + | 0.725933i | \(0.258592\pi\) |
−0.958589 | + | 0.284794i | \(0.908075\pi\) | |||||||
\(108\) | −0.965926 | + | 0.258819i | −0.0929463 | + | 0.0249049i | ||||
\(109\) | −8.33989 | + | 8.33989i | −0.798817 | + | 0.798817i | −0.982909 | − | 0.184092i | \(-0.941065\pi\) |
0.184092 | + | 0.982909i | \(0.441065\pi\) | |||||||
\(110\) | 12.0817 | + | 0.932283i | 1.15194 | + | 0.0888897i | ||||
\(111\) | 1.14001 | + | 4.25457i | 0.108205 | + | 0.403826i | ||||
\(112\) | −0.0686422 | −0.00648608 | ||||||||
\(113\) | −5.18622 | − | 19.3553i | −0.487879 | − | 1.82079i | −0.566731 | − | 0.823903i | \(-0.691792\pi\) |
0.0788523 | − | 0.996886i | \(-0.474874\pi\) | |||||||
\(114\) | −0.570838 | − | 0.988721i | −0.0534639 | − | 0.0926022i | ||||
\(115\) | 2.25981 | − | 3.29883i | 0.210729 | − | 0.307618i | ||||
\(116\) | 3.89470i | 0.361614i | ||||||||
\(117\) | 0.556815 | − | 3.56230i | 0.0514775 | − | 0.329334i | ||||
\(118\) | −4.02315 | + | 4.02315i | −0.370361 | + | 0.370361i | ||||
\(119\) | −0.225563 | − | 0.0604393i | −0.0206773 | − | 0.00554046i | ||||
\(120\) | 1.26371 | − | 1.84473i | 0.115360 | − | 0.168400i | ||||
\(121\) | 15.9064 | + | 9.18357i | 1.44604 | + | 0.834870i | ||||
\(122\) | − | 7.75759i | − | 0.702339i | ||||||
\(123\) | −2.84665 | + | 4.93055i | −0.256674 | + | 0.444572i | ||||
\(124\) | −3.13184 | + | 0.839174i | −0.281247 | + | 0.0753600i | ||||
\(125\) | −5.88533 | − | 9.50594i | −0.526400 | − | 0.850237i | ||||
\(126\) | 0.0343211 | − | 0.0594459i | 0.00305757 | − | 0.00529586i | ||||
\(127\) | −10.2589 | − | 2.74887i | −0.910331 | − | 0.243922i | −0.226883 | − | 0.973922i | \(-0.572854\pi\) |
−0.683448 | + | 0.730000i | \(0.739520\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | −8.86030 | −0.780106 | ||||||||
\(130\) | 4.23692 | + | 6.85919i | 0.371603 | + | 0.601591i | ||||
\(131\) | −19.3910 | −1.69420 | −0.847100 | − | 0.531433i | \(-0.821654\pi\) | ||||
−0.847100 | + | 0.531433i | \(0.821654\pi\) | |||||||
\(132\) | 4.69312 | − | 2.70957i | 0.408483 | − | 0.235838i | ||||
\(133\) | 0.0756969 | + | 0.0202829i | 0.00656376 | + | 0.00175875i | ||||
\(134\) | 0.519343 | − | 0.899528i | 0.0448644 | − | 0.0777074i | ||||
\(135\) | 0.965733 | + | 2.01677i | 0.0831171 | + | 0.173576i | ||||
\(136\) | −3.28606 | + | 0.880498i | −0.281778 | + | 0.0755021i | ||||
\(137\) | 6.01623 | − | 10.4204i | 0.514001 | − | 0.890276i | −0.485867 | − | 0.874033i | \(-0.661496\pi\) |
0.999868 | − | 0.0162432i | \(-0.00517061\pi\) | |||||||
\(138\) | − | 1.78824i | − | 0.152225i | ||||||
\(139\) | 3.76993 | + | 2.17657i | 0.319761 | + | 0.184614i | 0.651286 | − | 0.758832i | \(-0.274230\pi\) |
−0.331525 | + | 0.943447i | \(0.607563\pi\) | |||||||
\(140\) | 0.0282016 | + | 0.150876i | 0.00238347 | + | 0.0127513i | ||||
\(141\) | −9.15906 | − | 2.45416i | −0.771332 | − | 0.206678i | ||||
\(142\) | −3.66449 | + | 3.66449i | −0.307517 | + | 0.307517i | ||||
\(143\) | 2.08176 | + | 19.4278i | 0.174085 | + | 1.62463i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | 8.56055 | − | 1.60013i | 0.710915 | − | 0.132884i | ||||
\(146\) | −5.91822 | − | 10.2507i | −0.489796 | − | 0.848351i | ||||
\(147\) | −1.81051 | − | 6.75693i | −0.149329 | − | 0.557302i | ||||
\(148\) | −4.40465 | −0.362060 | ||||||||
\(149\) | −4.34708 | − | 16.2235i | −0.356126 | − | 1.32908i | −0.879061 | − | 0.476709i | \(-0.841829\pi\) |
0.522935 | − | 0.852373i | \(-0.324837\pi\) | |||||||
\(150\) | −4.57392 | − | 2.01972i | −0.373459 | − | 0.164910i | ||||
\(151\) | 0.226120 | − | 0.226120i | 0.0184014 | − | 0.0184014i | −0.697846 | − | 0.716248i | \(-0.745858\pi\) |
0.716248 | + | 0.697846i | \(0.245858\pi\) | |||||||
\(152\) | 1.10278 | − | 0.295488i | 0.0894469 | − | 0.0239672i | ||||
\(153\) | 0.880498 | − | 3.28606i | 0.0711840 | − | 0.265662i | ||||
\(154\) | −0.0962761 | + | 0.359307i | −0.00775815 | + | 0.0289538i | ||||
\(155\) | 3.13122 | + | 6.53901i | 0.251505 | + | 0.525226i | ||||
\(156\) | 3.29680 | + | 1.45983i | 0.263955 | + | 0.116880i | ||||
\(157\) | −16.0083 | − | 16.0083i | −1.27760 | − | 1.27760i | −0.942006 | − | 0.335597i | \(-0.891062\pi\) |
−0.335597 | − | 0.942006i | \(-0.608938\pi\) | |||||||
\(158\) | 5.79057 | + | 10.0296i | 0.460673 | + | 0.797910i | ||||
\(159\) | −6.71707 | + | 3.87810i | −0.532698 | + | 0.307553i | ||||
\(160\) | 1.45481 | + | 1.69810i | 0.115012 | + | 0.134247i | ||||
\(161\) | 0.0867966 | + | 0.0867966i | 0.00684053 | + | 0.00684053i | ||||
\(162\) | 0.866025 | + | 0.500000i | 0.0680414 | + | 0.0392837i | ||||
\(163\) | 9.90998 | + | 5.72153i | 0.776209 | + | 0.448145i | 0.835085 | − | 0.550121i | \(-0.185418\pi\) |
−0.0588758 | + | 0.998265i | \(0.518752\pi\) | |||||||
\(164\) | −4.02577 | − | 4.02577i | −0.314360 | − | 0.314360i | ||||
\(165\) | −7.88380 | − | 9.20225i | −0.613753 | − | 0.716394i | ||||
\(166\) | −4.27594 | + | 2.46871i | −0.331877 | + | 0.191609i | ||||
\(167\) | −3.34397 | − | 5.79193i | −0.258764 | − | 0.448193i | 0.707147 | − | 0.707067i | \(-0.249982\pi\) |
−0.965911 | + | 0.258874i | \(0.916649\pi\) | |||||||
\(168\) | 0.0485374 | + | 0.0485374i | 0.00374474 | + | 0.00374474i | ||||
\(169\) | −9.62555 | + | 8.73778i | −0.740427 | + | 0.672137i | ||||
\(170\) | 3.28541 | + | 6.86102i | 0.251979 | + | 0.526216i | ||||
\(171\) | −0.295488 | + | 1.10278i | −0.0225965 | + | 0.0843313i | ||||
\(172\) | 2.29321 | − | 8.55839i | 0.174856 | − | 0.652571i | ||||
\(173\) | 15.7568 | − | 4.22203i | 1.19797 | − | 0.320995i | 0.395938 | − | 0.918277i | \(-0.370420\pi\) |
0.802031 | + | 0.597282i | \(0.203753\pi\) | |||||||
\(174\) | 2.75397 | − | 2.75397i | 0.208778 | − | 0.208778i | ||||
\(175\) | 0.320038 | − | 0.123974i | 0.0241926 | − | 0.00937155i | ||||
\(176\) | 1.40258 | + | 5.23449i | 0.105723 | + | 0.394565i | ||||
\(177\) | 5.68959 | 0.427656 | ||||||||
\(178\) | 0.0552889 | + | 0.206341i | 0.00414408 | + | 0.0154659i | ||||
\(179\) | 7.70365 | + | 13.3431i | 0.575798 | + | 0.997312i | 0.995954 | + | 0.0898598i | \(0.0286419\pi\) |
−0.420156 | + | 0.907452i | \(0.638025\pi\) | |||||||
\(180\) | −2.19800 | + | 0.410849i | −0.163829 | + | 0.0306228i | ||||
\(181\) | − | 9.32410i | − | 0.693055i | −0.938040 | − | 0.346527i | \(-0.887361\pi\) | ||
0.938040 | − | 0.346527i | \(-0.112639\pi\) | |||||||
\(182\) | −0.230874 | + | 0.0891616i | −0.0171136 | + | 0.00660910i | ||||
\(183\) | −5.48544 | + | 5.48544i | −0.405496 | + | 0.405496i | ||||
\(184\) | 1.72731 | + | 0.462831i | 0.127339 | + | 0.0341204i | ||||
\(185\) | 1.80965 | + | 9.68143i | 0.133048 | + | 0.711793i | ||||
\(186\) | 2.80793 | + | 1.62116i | 0.205887 | + | 0.118869i | ||||
\(187\) | 18.4358i | 1.34816i | ||||||||
\(188\) | 4.74108 | − | 8.21179i | 0.345779 | − | 0.598906i | ||||
\(189\) | −0.0663033 | + | 0.0177659i | −0.00482285 | + | 0.00129228i | ||||
\(190\) | −1.10256 | − | 2.30250i | −0.0799878 | − | 0.167041i | ||||
\(191\) | −12.1228 | + | 20.9972i | −0.877172 | + | 1.51931i | −0.0227417 | + | 0.999741i | \(0.507240\pi\) |
−0.854431 | + | 0.519566i | \(0.826094\pi\) | |||||||
\(192\) | 0.965926 | + | 0.258819i | 0.0697097 | + | 0.0186787i | ||||
\(193\) | −21.6408 | + | 12.4943i | −1.55774 | + | 0.899361i | −0.560267 | + | 0.828312i | \(0.689301\pi\) |
−0.997473 | + | 0.0710490i | \(0.977365\pi\) | |||||||
\(194\) | 13.8837 | 0.996795 | ||||||||
\(195\) | 1.85422 | − | 7.84614i | 0.132784 | − | 0.561873i | ||||
\(196\) | 6.99529 | 0.499663 | ||||||||
\(197\) | −6.09186 | + | 3.51714i | −0.434027 | + | 0.250586i | −0.701061 | − | 0.713101i | \(-0.747290\pi\) |
0.267034 | + | 0.963687i | \(0.413957\pi\) | |||||||
\(198\) | −5.23449 | − | 1.40258i | −0.371999 | − | 0.0996769i | ||||
\(199\) | 11.0905 | − | 19.2092i | 0.786182 | − | 1.36171i | −0.142108 | − | 0.989851i | \(-0.545388\pi\) |
0.928290 | − | 0.371856i | \(-0.121279\pi\) | |||||||
\(200\) | 3.13472 | − | 3.89532i | 0.221658 | − | 0.275441i | ||||
\(201\) | −1.00329 | + | 0.268832i | −0.0707669 | + | 0.0189619i | ||||
\(202\) | 2.74027 | − | 4.74629i | 0.192805 | − | 0.333948i | ||||
\(203\) | 0.267341i | 0.0187637i | ||||||||
\(204\) | 2.94620 | + | 1.70099i | 0.206276 | + | 0.119093i | ||||
\(205\) | −7.19467 | + | 10.5026i | −0.502497 | + | 0.733536i | ||||
\(206\) | −1.33781 | − | 0.358464i | −0.0932094 | − | 0.0249754i | ||||
\(207\) | −1.26448 | + | 1.26448i | −0.0878873 | + | 0.0878873i | ||||
\(208\) | −2.26336 | + | 2.80663i | −0.156936 | + | 0.194605i | ||||
\(209\) | − | 6.18691i | − | 0.427958i | ||||||
\(210\) | 0.0867436 | − | 0.126627i | 0.00598588 | − | 0.00873807i | ||||
\(211\) | −10.1019 | − | 17.4970i | −0.695443 | − | 1.20454i | −0.970031 | − | 0.242981i | \(-0.921875\pi\) |
0.274588 | − | 0.961562i | \(-0.411459\pi\) | |||||||
\(212\) | −2.00745 | − | 7.49191i | −0.137872 | − | 0.514547i | ||||
\(213\) | 5.18237 | 0.355090 | ||||||||
\(214\) | 2.80142 | + | 10.4550i | 0.191501 | + | 0.714692i | ||||
\(215\) | −19.7535 | − | 1.52428i | −1.34718 | − | 0.103955i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −0.214976 | + | 0.0576027i | −0.0145935 | + | 0.00391033i | ||||
\(218\) | −3.05261 | + | 11.3925i | −0.206749 | + | 0.771598i | ||||
\(219\) | −3.06350 | + | 11.4331i | −0.207012 | + | 0.772579i | ||||
\(220\) | 10.9292 | − | 5.23345i | 0.736844 | − | 0.352839i | ||||
\(221\) | −9.90879 | + | 7.22988i | −0.666537 | + | 0.486335i | ||||
\(222\) | 3.11456 | + | 3.11456i | 0.209036 | + | 0.209036i | ||||
\(223\) | −9.09923 | − | 15.7603i | −0.609329 | − | 1.05539i | −0.991351 | − | 0.131236i | \(-0.958105\pi\) |
0.382022 | − | 0.924153i | \(-0.375228\pi\) | |||||||
\(224\) | −0.0594459 | + | 0.0343211i | −0.00397190 | + | 0.00229318i | ||||
\(225\) | 1.80609 | + | 4.66241i | 0.120406 | + | 0.310827i | ||||
\(226\) | −14.1690 | − | 14.1690i | −0.942510 | − | 0.942510i | ||||
\(227\) | 13.7492 | + | 7.93810i | 0.912566 | + | 0.526870i | 0.881256 | − | 0.472639i | \(-0.156699\pi\) |
0.0313104 | + | 0.999510i | \(0.490032\pi\) | |||||||
\(228\) | −0.988721 | − | 0.570838i | −0.0654797 | − | 0.0378047i | ||||
\(229\) | −6.57629 | − | 6.57629i | −0.434573 | − | 0.434573i | 0.455608 | − | 0.890181i | \(-0.349422\pi\) |
−0.890181 | + | 0.455608i | \(0.849422\pi\) | |||||||
\(230\) | 0.307640 | − | 3.98678i | 0.0202852 | − | 0.262881i | ||||
\(231\) | 0.322146 | − | 0.185991i | 0.0211956 | − | 0.0122373i | ||||
\(232\) | 1.94735 | + | 3.37291i | 0.127850 | + | 0.221442i | ||||
\(233\) | 16.6848 | + | 16.6848i | 1.09306 | + | 1.09306i | 0.995200 | + | 0.0978582i | \(0.0311992\pi\) |
0.0978582 | + | 0.995200i | \(0.468801\pi\) | |||||||
\(234\) | −1.29893 | − | 3.36345i | −0.0849139 | − | 0.219875i | ||||
\(235\) | −19.9974 | − | 7.04709i | −1.30448 | − | 0.459701i | ||||
\(236\) | −1.47258 | + | 5.49573i | −0.0958565 | + | 0.357741i | ||||
\(237\) | 2.99742 | − | 11.1865i | 0.194703 | − | 0.726643i | ||||
\(238\) | −0.225563 | + | 0.0604393i | −0.0146211 | + | 0.00391770i | ||||
\(239\) | 13.8547 | − | 13.8547i | 0.896186 | − | 0.896186i | −0.0989101 | − | 0.995096i | \(-0.531536\pi\) |
0.995096 | + | 0.0989101i | \(0.0315356\pi\) | |||||||
\(240\) | 0.172035 | − | 2.22944i | 0.0111048 | − | 0.143910i | ||||
\(241\) | −1.30150 | − | 4.85725i | −0.0838368 | − | 0.312883i | 0.911255 | − | 0.411843i | \(-0.135115\pi\) |
−0.995091 | + | 0.0989604i | \(0.968448\pi\) | |||||||
\(242\) | 18.3671 | 1.18068 | ||||||||
\(243\) | −0.258819 | − | 0.965926i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | −3.87879 | − | 6.71827i | −0.248314 | − | 0.430093i | ||||
\(245\) | −2.87400 | − | 15.3756i | −0.183613 | − | 0.982314i | ||||
\(246\) | 5.69330i | 0.362992i | ||||||||
\(247\) | 3.32531 | − | 2.42629i | 0.211584 | − | 0.154381i | ||||
\(248\) | −2.29267 | + | 2.29267i | −0.145584 | + | 0.145584i | ||||
\(249\) | 4.76919 | + | 1.27790i | 0.302235 | + | 0.0809837i | ||||
\(250\) | −9.84981 | − | 5.28972i | −0.622957 | − | 0.334551i | ||||
\(251\) | 23.9886 | + | 13.8498i | 1.51415 | + | 0.874192i | 0.999863 | + | 0.0165711i | \(0.00527499\pi\) |
0.514282 | + | 0.857621i | \(0.328058\pi\) | |||||||
\(252\) | − | 0.0686422i | − | 0.00432405i | ||||||
\(253\) | 4.84537 | − | 8.39243i | 0.304626 | − | 0.527628i | ||||
\(254\) | −10.2589 | + | 2.74887i | −0.643701 | + | 0.172479i | ||||
\(255\) | 2.52834 | − | 7.17461i | 0.158331 | − | 0.449291i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 14.6760 | + | 3.93242i | 0.915463 | + | 0.245297i | 0.685645 | − | 0.727936i | \(-0.259520\pi\) |
0.229818 | + | 0.973234i | \(0.426187\pi\) | |||||||
\(258\) | −7.67324 | + | 4.43015i | −0.477715 | + | 0.275809i | ||||
\(259\) | −0.302345 | −0.0187868 | ||||||||
\(260\) | 7.09888 | + | 3.82177i | 0.440254 | + | 0.237016i | ||||
\(261\) | −3.89470 | −0.241076 | ||||||||
\(262\) | −16.7931 | + | 9.69551i | −1.03748 | + | 0.598990i | ||||
\(263\) | −10.0058 | − | 2.68104i | −0.616982 | − | 0.165320i | −0.0632266 | − | 0.997999i | \(-0.520139\pi\) |
−0.553755 | + | 0.832679i | \(0.686806\pi\) | |||||||
\(264\) | 2.70957 | − | 4.69312i | 0.166763 | − | 0.288841i | ||||
\(265\) | −15.6425 | + | 7.49042i | −0.960909 | + | 0.460133i | ||||
\(266\) | 0.0756969 | − | 0.0202829i | 0.00464128 | − | 0.00124363i | ||||
\(267\) | 0.106810 | − | 0.185000i | 0.00653666 | − | 0.0113218i | ||||
\(268\) | − | 1.03869i | − | 0.0634478i | ||||||
\(269\) | −3.23208 | − | 1.86604i | −0.197063 | − | 0.113775i | 0.398222 | − | 0.917289i | \(-0.369628\pi\) |
−0.595285 | + | 0.803515i | \(0.702961\pi\) | |||||||
\(270\) | 1.84473 | + | 1.26371i | 0.112267 | + | 0.0769067i | ||||
\(271\) | −14.9084 | − | 3.99471i | −0.905624 | − | 0.242661i | −0.224194 | − | 0.974545i | \(-0.571975\pi\) |
−0.681430 | + | 0.731883i | \(0.738642\pi\) | |||||||
\(272\) | −2.40557 | + | 2.40557i | −0.145859 | + | 0.145859i | ||||
\(273\) | 0.226300 | + | 0.100206i | 0.0136963 | + | 0.00606475i | ||||
\(274\) | − | 12.0325i | − | 0.726907i | ||||||
\(275\) | −15.9934 | − | 21.8721i | −0.964435 | − | 1.31894i | ||||
\(276\) | −0.894121 | − | 1.54866i | −0.0538198 | − | 0.0932186i | ||||
\(277\) | 6.56759 | + | 24.5106i | 0.394609 | + | 1.47270i | 0.822446 | + | 0.568843i | \(0.192609\pi\) |
−0.427837 | + | 0.903856i | \(0.640724\pi\) | |||||||
\(278\) | 4.35314 | 0.261084 | ||||||||
\(279\) | −0.839174 | − | 3.13184i | −0.0502400 | − | 0.187498i | ||||
\(280\) | 0.0998611 | + | 0.116561i | 0.00596784 | + | 0.00696587i | ||||
\(281\) | −8.33382 | + | 8.33382i | −0.497154 | + | 0.497154i | −0.910551 | − | 0.413397i | \(-0.864342\pi\) |
0.413397 | + | 0.910551i | \(0.364342\pi\) | |||||||
\(282\) | −9.15906 | + | 2.45416i | −0.545414 | + | 0.146143i | ||||
\(283\) | 5.47731 | − | 20.4416i | 0.325592 | − | 1.21513i | −0.588123 | − | 0.808772i | \(-0.700133\pi\) |
0.913715 | − | 0.406355i | \(-0.133201\pi\) | |||||||
\(284\) | −1.34130 | + | 5.00578i | −0.0795912 | + | 0.297039i | ||||
\(285\) | −0.848488 | + | 2.40774i | −0.0502601 | + | 0.142622i | ||||
\(286\) | 11.5167 | + | 15.7841i | 0.681000 | + | 0.933332i | ||||
\(287\) | −0.276338 | − | 0.276338i | −0.0163117 | − | 0.0163117i | ||||
\(288\) | −0.500000 | − | 0.866025i | −0.0294628 | − | 0.0510310i | ||||
\(289\) | 4.69950 | − | 2.71326i | 0.276441 | − | 0.159603i | ||||
\(290\) | 6.61359 | − | 5.66603i | 0.388363 | − | 0.332721i | ||||
\(291\) | −9.81729 | − | 9.81729i | −0.575500 | − | 0.575500i | ||||
\(292\) | −10.2507 | − | 5.91822i | −0.599875 | − | 0.346338i | ||||
\(293\) | 9.27799 | + | 5.35665i | 0.542026 | + | 0.312939i | 0.745900 | − | 0.666058i | \(-0.232020\pi\) |
−0.203874 | + | 0.978997i | \(0.565353\pi\) | |||||||
\(294\) | −4.94642 | − | 4.94642i | −0.288481 | − | 0.288481i | ||||
\(295\) | 12.6846 | + | 0.978809i | 0.738526 | + | 0.0569885i | ||||
\(296\) | −3.81454 | + | 2.20233i | −0.221716 | + | 0.128008i | ||||
\(297\) | 2.70957 | + | 4.69312i | 0.157225 | + | 0.272322i | ||||
\(298\) | −11.8764 | − | 11.8764i | −0.687983 | − | 0.687983i | ||||
\(299\) | 6.41090 | − | 0.686951i | 0.370752 | − | 0.0397274i | ||||
\(300\) | −4.97099 | + | 0.537829i | −0.287000 | + | 0.0310516i | ||||
\(301\) | 0.157411 | − | 0.587467i | 0.00907303 | − | 0.0338610i | ||||
\(302\) | 0.0827656 | − | 0.308886i | 0.00476263 | − | 0.0177744i | ||||
\(303\) | −5.29380 | + | 1.41847i | −0.304121 | + | 0.0814889i | ||||
\(304\) | 0.807288 | − | 0.807288i | 0.0463011 | − | 0.0463011i | ||||
\(305\) | −13.1732 | + | 11.2858i | −0.754293 | + | 0.646222i | ||||
\(306\) | −0.880498 | − | 3.28606i | −0.0503347 | − | 0.187852i | ||||
\(307\) | −18.5230 | −1.05716 | −0.528582 | − | 0.848882i | \(-0.677276\pi\) | ||||
−0.528582 | + | 0.848882i | \(0.677276\pi\) | |||||||
\(308\) | 0.0962761 | + | 0.359307i | 0.00548584 | + | 0.0204734i | ||||
\(309\) | 0.692499 | + | 1.19944i | 0.0393949 | + | 0.0682340i | ||||
\(310\) | 5.98122 | + | 4.09734i | 0.339710 | + | 0.232713i | ||||
\(311\) | 2.97373i | 0.168625i | 0.996439 | + | 0.0843124i | \(0.0268694\pi\) | ||||
−0.996439 | + | 0.0843124i | \(0.973131\pi\) | |||||||
\(312\) | 3.58503 | − | 0.384149i | 0.202962 | − | 0.0217481i | ||||
\(313\) | 9.69581 | − | 9.69581i | 0.548040 | − | 0.548040i | −0.377834 | − | 0.925873i | \(-0.623331\pi\) |
0.925873 | + | 0.377834i | \(0.123331\pi\) | |||||||
\(314\) | −21.8678 | − | 5.85945i | −1.23407 | − | 0.330668i | ||||
\(315\) | −0.150876 | + | 0.0282016i | −0.00850088 | + | 0.00158898i | ||||
\(316\) | 10.0296 | + | 5.79057i | 0.564207 | + | 0.325745i | ||||
\(317\) | 6.45697i | 0.362659i | 0.983422 | + | 0.181330i | \(0.0580401\pi\) | ||||
−0.983422 | + | 0.181330i | \(0.941960\pi\) | |||||||
\(318\) | −3.87810 | + | 6.71707i | −0.217473 | + | 0.376674i | ||||
\(319\) | 20.3868 | − | 5.46262i | 1.14144 | − | 0.305848i | ||||
\(320\) | 2.10895 | + | 0.743195i | 0.117894 | + | 0.0415458i | ||||
\(321\) | 5.41193 | − | 9.37374i | 0.302064 | − | 0.523191i | ||||
\(322\) | 0.118566 | + | 0.0317698i | 0.00660745 | + | 0.00177046i | ||||
\(323\) | 3.36361 | − | 1.94198i | 0.187156 | − | 0.108055i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 5.48369 | − | 17.1735i | 0.304181 | − | 0.952614i | ||||
\(326\) | 11.4431 | 0.633772 | ||||||||
\(327\) | 10.2142 | − | 5.89719i | 0.564849 | − | 0.326116i | ||||
\(328\) | −5.49931 | − | 1.47354i | −0.303649 | − | 0.0813624i | ||||
\(329\) | 0.325438 | − | 0.563675i | 0.0179420 | − | 0.0310764i | ||||
\(330\) | −11.4287 | − | 4.02748i | −0.629129 | − | 0.221705i | ||||
\(331\) | 19.5523 | − | 5.23904i | 1.07469 | − | 0.287963i | 0.322274 | − | 0.946647i | \(-0.395553\pi\) |
0.752420 | + | 0.658683i | \(0.228886\pi\) | |||||||
\(332\) | −2.46871 | + | 4.27594i | −0.135488 | + | 0.234673i | ||||
\(333\) | − | 4.40465i | − | 0.241374i | ||||||
\(334\) | −5.79193 | − | 3.34397i | −0.316920 | − | 0.182974i | ||||
\(335\) | −2.28303 | + | 0.426743i | −0.124735 | + | 0.0233154i | ||||
\(336\) | 0.0663033 | + | 0.0177659i | 0.00361714 | + | 0.000969210i | ||||
\(337\) | −14.2043 | + | 14.2043i | −0.773758 | + | 0.773758i | −0.978761 | − | 0.205004i | \(-0.934279\pi\) |
0.205004 | + | 0.978761i | \(0.434279\pi\) | |||||||
\(338\) | −3.96708 | + | 12.3799i | −0.215781 | + | 0.673379i | ||||
\(339\) | 20.0380i | 1.08832i | ||||||||
\(340\) | 6.27576 | + | 4.29911i | 0.340351 | + | 0.233152i | ||||
\(341\) | 8.78530 | + | 15.2166i | 0.475750 | + | 0.824024i | ||||
\(342\) | 0.295488 | + | 1.10278i | 0.0159781 | + | 0.0596313i | ||||
\(343\) | 0.960668 | 0.0518712 | ||||||||
\(344\) | −2.29321 | − | 8.55839i | −0.123642 | − | 0.461437i | ||||
\(345\) | −3.03661 | + | 2.60155i | −0.163486 | + | 0.140062i | ||||
\(346\) | 11.5348 | − | 11.5348i | 0.620114 | − | 0.620114i | ||||
\(347\) | 27.0576 | − | 7.25007i | 1.45253 | − | 0.389204i | 0.555626 | − | 0.831432i | \(-0.312479\pi\) |
0.896903 | + | 0.442228i | \(0.145812\pi\) | |||||||
\(348\) | 1.00802 | − | 3.76199i | 0.0540357 | − | 0.201664i | ||||
\(349\) | −5.33144 | + | 19.8972i | −0.285385 | + | 1.06507i | 0.663172 | + | 0.748467i | \(0.269210\pi\) |
−0.948557 | + | 0.316606i | \(0.897457\pi\) | |||||||
\(350\) | 0.215174 | − | 0.267384i | 0.0115015 | − | 0.0142923i | ||||
\(351\) | −1.45983 | + | 3.29680i | −0.0779201 | + | 0.175970i | ||||
\(352\) | 3.83191 | + | 3.83191i | 0.204242 | + | 0.204242i | ||||
\(353\) | −2.81755 | − | 4.88014i | −0.149963 | − | 0.259744i | 0.781251 | − | 0.624218i | \(-0.214582\pi\) |
−0.931214 | + | 0.364474i | \(0.881249\pi\) | |||||||
\(354\) | 4.92733 | − | 2.84480i | 0.261885 | − | 0.151199i | ||||
\(355\) | 11.5538 | + | 0.891549i | 0.613211 | + | 0.0473185i | ||||
\(356\) | 0.151052 | + | 0.151052i | 0.00800574 | + | 0.00800574i | ||||
\(357\) | 0.202234 | + | 0.116760i | 0.0107034 | + | 0.00617959i | ||||
\(358\) | 13.3431 | + | 7.70365i | 0.705206 | + | 0.407151i | ||||
\(359\) | 6.89818 | + | 6.89818i | 0.364072 | + | 0.364072i | 0.865310 | − | 0.501238i | \(-0.167122\pi\) |
−0.501238 | + | 0.865310i | \(0.667122\pi\) | |||||||
\(360\) | −1.69810 | + | 1.45481i | −0.0894977 | + | 0.0766750i | ||||
\(361\) | 15.3257 | − | 8.84829i | 0.806615 | − | 0.465699i | ||||
\(362\) | −4.66205 | − | 8.07491i | −0.245032 | − | 0.424408i | ||||
\(363\) | −12.9875 | − | 12.9875i | −0.681668 | − | 0.681668i | ||||
\(364\) | −0.155362 | + | 0.192653i | −0.00814320 | + | 0.0100978i | ||||
\(365\) | −8.79678 | + | 24.9624i | −0.460445 | + | 1.30659i | ||||
\(366\) | −2.00781 | + | 7.49325i | −0.104950 | + | 0.391679i | ||||
\(367\) | −2.70714 | + | 10.1032i | −0.141311 | + | 0.527382i | 0.858580 | + | 0.512679i | \(0.171347\pi\) |
−0.999892 | + | 0.0147027i | \(0.995320\pi\) | |||||||
\(368\) | 1.72731 | − | 0.462831i | 0.0900423 | − | 0.0241267i | ||||
\(369\) | 4.02577 | − | 4.02577i | 0.209573 | − | 0.209573i | ||||
\(370\) | 6.40791 | + | 7.47954i | 0.333132 | + | 0.388843i | ||||
\(371\) | −0.137796 | − | 0.514262i | −0.00715401 | − | 0.0266991i | ||||
\(372\) | 3.24232 | 0.168106 | ||||||||
\(373\) | −1.70438 | − | 6.36085i | −0.0882497 | − | 0.329352i | 0.907660 | − | 0.419706i | \(-0.137867\pi\) |
−0.995910 | + | 0.0903539i | \(0.971200\pi\) | |||||||
\(374\) | 9.21792 | + | 15.9659i | 0.476647 | + | 0.825577i | ||||
\(375\) | 3.22447 | + | 10.7053i | 0.166511 | + | 0.552818i | ||||
\(376\) | − | 9.48215i | − | 0.489005i | ||||||
\(377\) | 10.9310 | + | 8.81513i | 0.562975 | + | 0.454002i | ||||
\(378\) | −0.0485374 | + | 0.0485374i | −0.00249649 | + | 0.00249649i | ||||
\(379\) | 7.82771 | + | 2.09743i | 0.402083 | + | 0.107738i | 0.454192 | − | 0.890904i | \(-0.349928\pi\) |
−0.0521097 | + | 0.998641i | \(0.516595\pi\) | |||||||
\(380\) | −2.10609 | − | 1.44275i | −0.108040 | − | 0.0740113i | ||||
\(381\) | 9.19789 | + | 5.31040i | 0.471222 | + | 0.272060i | ||||
\(382\) | 24.2455i | 1.24051i | ||||||||
\(383\) | 6.42723 | − | 11.1323i | 0.328416 | − | 0.568833i | −0.653782 | − | 0.756683i | \(-0.726819\pi\) |
0.982198 | + | 0.187850i | \(0.0601519\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | 0.750202 | − | 0.359236i | 0.0382338 | − | 0.0183083i | ||||
\(386\) | −12.4943 | + | 21.6408i | −0.635944 | + | 1.10149i | ||||
\(387\) | 8.55839 | + | 2.29321i | 0.435047 | + | 0.116571i | ||||
\(388\) | 12.0237 | − | 6.94187i | 0.610410 | − | 0.352420i | ||||
\(389\) | 38.1804 | 1.93582 | 0.967912 | − | 0.251288i | \(-0.0808540\pi\) | ||||
0.967912 | + | 0.251288i | \(0.0808540\pi\) | |||||||
\(390\) | −2.31726 | − | 7.72207i | −0.117339 | − | 0.391022i | ||||
\(391\) | 6.08357 | 0.307659 | ||||||||
\(392\) | 6.05810 | − | 3.49764i | 0.305980 | − | 0.176658i | ||||
\(393\) | 18.7303 | + | 5.01876i | 0.944818 | + | 0.253163i | ||||
\(394\) | −3.51714 | + | 6.09186i | −0.177191 | + | 0.306904i | ||||
\(395\) | 8.60705 | − | 24.4240i | 0.433068 | − | 1.22891i | ||||
\(396\) | −5.23449 | + | 1.40258i | −0.263043 | + | 0.0704822i | ||||
\(397\) | 12.0611 | − | 20.8904i | 0.605327 | − | 1.04846i | −0.386673 | − | 0.922217i | \(-0.626376\pi\) |
0.992000 | − | 0.126240i | \(-0.0402910\pi\) | |||||||
\(398\) | − | 22.1809i | − | 1.11183i | ||||||
\(399\) | −0.0678680 | − | 0.0391836i | −0.00339765 | − | 0.00196163i | ||||
\(400\) | 0.767084 | − | 4.94081i | 0.0383542 | − | 0.247040i | ||||
\(401\) | 37.2272 | + | 9.97501i | 1.85904 | + | 0.498128i | 0.999907 | − | 0.0136248i | \(-0.00433704\pi\) |
0.859133 | + | 0.511753i | \(0.171004\pi\) | |||||||
\(402\) | −0.734462 | + | 0.734462i | −0.0366316 | + | 0.0366316i | ||||
\(403\) | −4.73324 | + | 10.6893i | −0.235779 | + | 0.532471i | ||||
\(404\) | − | 5.48054i | − | 0.272667i | ||||||
\(405\) | −0.410849 | − | 2.19800i | −0.0204152 | − | 0.109219i | ||||
\(406\) | 0.133670 | + | 0.231524i | 0.00663395 | + | 0.0114903i | ||||
\(407\) | 6.17787 | + | 23.0561i | 0.306226 | + | 1.14285i | ||||
\(408\) | 3.40198 | 0.168423 | ||||||||
\(409\) | 4.59831 | + | 17.1611i | 0.227372 | + | 0.848564i | 0.981440 | + | 0.191768i | \(0.0614220\pi\) |
−0.754068 | + | 0.656796i | \(0.771911\pi\) | |||||||
\(410\) | −0.979448 | + | 12.6929i | −0.0483715 | + | 0.626857i | ||||
\(411\) | −8.50823 | + | 8.50823i | −0.419680 | + | 0.419680i | ||||
\(412\) | −1.33781 | + | 0.358464i | −0.0659090 | + | 0.0176603i | ||||
\(413\) | −0.101081 | + | 0.377239i | −0.00497386 | + | 0.0185627i | ||||
\(414\) | −0.462831 | + | 1.72731i | −0.0227469 | + | 0.0848927i | ||||
\(415\) | 10.4128 | + | 3.66947i | 0.511143 | + | 0.180127i | ||||
\(416\) | −0.556815 | + | 3.56230i | −0.0273001 | + | 0.174656i | ||||
\(417\) | −3.07814 | − | 3.07814i | −0.150737 | − | 0.150737i | ||||
\(418\) | −3.09346 | − | 5.35802i | −0.151306 | − | 0.262070i | ||||
\(419\) | −4.08722 | + | 2.35976i | −0.199674 | + | 0.115282i | −0.596503 | − | 0.802611i | \(-0.703444\pi\) |
0.396829 | + | 0.917892i | \(0.370110\pi\) | |||||||
\(420\) | 0.0118089 | − | 0.153034i | 0.000576214 | − | 0.00746728i | ||||
\(421\) | −16.2123 | − | 16.2123i | −0.790137 | − | 0.790137i | 0.191379 | − | 0.981516i | \(-0.438704\pi\) |
−0.981516 | + | 0.191379i | \(0.938704\pi\) | |||||||
\(422\) | −17.4970 | − | 10.1019i | −0.851741 | − | 0.491753i | ||||
\(423\) | 8.21179 | + | 4.74108i | 0.399271 | + | 0.230519i | ||||
\(424\) | −5.48446 | − | 5.48446i | −0.266349 | − | 0.266349i | ||||
\(425\) | 6.87106 | − | 15.5604i | 0.333295 | − | 0.754790i | ||||
\(426\) | 4.48806 | − | 2.59118i | 0.217447 | − | 0.125543i | ||||
\(427\) | −0.266249 | − | 0.461157i | −0.0128847 | − | 0.0223169i | ||||
\(428\) | 7.65363 | + | 7.65363i | 0.369952 | + | 0.369952i | ||||
\(429\) | 3.01746 | − | 19.3046i | 0.145684 | − | 0.932035i | ||||
\(430\) | −17.8692 | + | 8.55668i | −0.861728 | + | 0.412640i | ||||
\(431\) | 6.81996 | − | 25.4525i | 0.328506 | − | 1.22600i | −0.582234 | − | 0.813021i | \(-0.697821\pi\) |
0.910740 | − | 0.412980i | \(-0.135512\pi\) | |||||||
\(432\) | −0.258819 | + | 0.965926i | −0.0124524 | + | 0.0464731i | ||||
\(433\) | −19.3655 | + | 5.18896i | −0.930645 | + | 0.249366i | −0.692130 | − | 0.721773i | \(-0.743327\pi\) |
−0.238515 | + | 0.971139i | \(0.576661\pi\) | |||||||
\(434\) | −0.157374 | + | 0.157374i | −0.00755418 | + | 0.00755418i | ||||
\(435\) | −8.68300 | − | 0.670025i | −0.416318 | − | 0.0321252i | ||||
\(436\) | 3.05261 | + | 11.3925i | 0.146194 | + | 0.545602i | ||||
\(437\) | −2.04160 | −0.0976628 | ||||||||
\(438\) | 3.06350 | + | 11.4331i | 0.146380 | + | 0.546296i | ||||
\(439\) | 3.87810 | + | 6.71707i | 0.185092 | + | 0.320588i | 0.943607 | − | 0.331067i | \(-0.107408\pi\) |
−0.758516 | + | 0.651655i | \(0.774075\pi\) | |||||||
\(440\) | 6.84821 | − | 9.99688i | 0.326476 | − | 0.476583i | ||||
\(441\) | 6.99529i | 0.333109i | ||||||||
\(442\) | −4.96632 | + | 11.2157i | −0.236224 | + | 0.533474i | ||||
\(443\) | −7.27869 | + | 7.27869i | −0.345821 | + | 0.345821i | −0.858550 | − | 0.512729i | \(-0.828634\pi\) |
0.512729 | + | 0.858550i | \(0.328634\pi\) | |||||||
\(444\) | 4.25457 | + | 1.14001i | 0.201913 | + | 0.0541024i | ||||
\(445\) | 0.269953 | − | 0.394072i | 0.0127970 | − | 0.0186808i | ||||
\(446\) | −15.7603 | − | 9.09923i | −0.746273 | − | 0.430861i | ||||
\(447\) | 16.7958i | 0.794415i | ||||||||
\(448\) | −0.0343211 | + | 0.0594459i | −0.00162152 | + | 0.00280855i | ||||
\(449\) | 1.50763 | − | 0.403969i | 0.0711496 | − | 0.0190645i | −0.223069 | − | 0.974803i | \(-0.571607\pi\) |
0.294218 | + | 0.955738i | \(0.404941\pi\) | |||||||
\(450\) | 3.89532 | + | 3.13472i | 0.183627 | + | 0.147772i | ||||
\(451\) | −15.4264 | + | 26.7193i | −0.726402 | + | 1.25816i | ||||
\(452\) | −19.3553 | − | 5.18622i | −0.910395 | − | 0.243939i | ||||
\(453\) | −0.276939 | + | 0.159891i | −0.0130117 | + | 0.00751233i | ||||
\(454\) | 15.8762 | 0.745107 | ||||||||
\(455\) | 0.487283 | + | 0.262335i | 0.0228442 | + | 0.0122985i | ||||
\(456\) | −1.14168 | −0.0534639 | ||||||||
\(457\) | −7.69003 | + | 4.43984i | −0.359725 | + | 0.207687i | −0.668960 | − | 0.743298i | \(-0.733260\pi\) |
0.309235 | + | 0.950986i | \(0.399927\pi\) | |||||||
\(458\) | −8.98337 | − | 2.40709i | −0.419766 | − | 0.112476i | ||||
\(459\) | −1.70099 | + | 2.94620i | −0.0793955 | + | 0.137517i | ||||
\(460\) | −1.72697 | − | 3.60647i | −0.0805202 | − | 0.168153i | ||||
\(461\) | 9.36262 | − | 2.50871i | 0.436061 | − | 0.116842i | −0.0341090 | − | 0.999418i | \(-0.510859\pi\) |
0.470170 | + | 0.882576i | \(0.344193\pi\) | |||||||
\(462\) | 0.185991 | − | 0.322146i | 0.00865309 | − | 0.0149876i | ||||
\(463\) | − | 0.374437i | − | 0.0174015i | −0.999962 | − | 0.00870077i | \(-0.997230\pi\) | ||
0.999962 | − | 0.00870077i | \(-0.00276958\pi\) | |||||||
\(464\) | 3.37291 | + | 1.94735i | 0.156583 | + | 0.0904035i | ||||
\(465\) | −1.33210 | − | 7.12662i | −0.0617747 | − | 0.330489i | ||||
\(466\) | 22.7919 | + | 6.10707i | 1.05581 | + | 0.282904i | ||||
\(467\) | −28.2026 | + | 28.2026i | −1.30506 | + | 1.30506i | −0.380122 | + | 0.924936i | \(0.624118\pi\) |
−0.924936 | + | 0.380122i | \(0.875882\pi\) | |||||||
\(468\) | −2.80663 | − | 2.26336i | −0.129737 | − | 0.104624i | ||||
\(469\) | − | 0.0712977i | − | 0.00329222i | ||||||
\(470\) | −20.8418 | + | 3.89573i | −0.961359 | + | 0.179697i | ||||
\(471\) | 11.3196 | + | 19.6061i | 0.521579 | + | 0.903401i | ||||
\(472\) | 1.47258 | + | 5.49573i | 0.0677808 | + | 0.252961i | ||||
\(473\) | −48.0152 | −2.20774 | ||||||||
\(474\) | −2.99742 | − | 11.1865i | −0.137676 | − | 0.513814i | ||||
\(475\) | −2.30587 | + | 5.22194i | −0.105801 | + | 0.239599i | ||||
\(476\) | −0.165123 | + | 0.165123i | −0.00756842 | + | 0.00756842i | ||||
\(477\) | 7.49191 | − | 2.00745i | 0.343031 | − | 0.0919149i | ||||
\(478\) | 5.07117 | − | 18.9259i | 0.231950 | − | 0.865649i | ||||
\(479\) | 8.58585 | − | 32.0428i | 0.392297 | − | 1.46407i | −0.434038 | − | 0.900895i | \(-0.642912\pi\) |
0.826335 | − | 0.563179i | \(-0.190422\pi\) | |||||||
\(480\) | −0.965733 | − | 2.01677i | −0.0440795 | − | 0.0920525i | ||||
\(481\) | −9.96933 | + | 12.3622i | −0.454562 | + | 0.563670i | ||||
\(482\) | −3.55576 | − | 3.55576i | −0.161960 | − | 0.161960i | ||||
\(483\) | −0.0613745 | − | 0.106304i | −0.00279264 | − | 0.00483699i | ||||
\(484\) | 15.9064 | − | 9.18357i | 0.723018 | − | 0.417435i | ||||
\(485\) | −20.1981 | − | 23.5760i | −0.917150 | − | 1.07053i | ||||
\(486\) | −0.707107 | − | 0.707107i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | −14.6119 | − | 8.43618i | −0.662128 | − | 0.382280i | 0.130959 | − | 0.991388i | \(-0.458194\pi\) |
−0.793087 | + | 0.609108i | \(0.791528\pi\) | |||||||
\(488\) | −6.71827 | − | 3.87879i | −0.304122 | − | 0.175585i | ||||
\(489\) | −8.09146 | − | 8.09146i | −0.365909 | − | 0.365909i | ||||
\(490\) | −10.1768 | − | 11.8787i | −0.459740 | − | 0.536625i | ||||
\(491\) | 33.3926 | − | 19.2792i | 1.50699 | − | 0.870060i | 0.507020 | − | 0.861934i | \(-0.330747\pi\) |
0.999967 | − | 0.00812541i | \(-0.00258643\pi\) | |||||||
\(492\) | 2.84665 | + | 4.93055i | 0.128337 | + | 0.222286i | ||||
\(493\) | 9.36896 | + | 9.36896i | 0.421957 | + | 0.421957i | ||||
\(494\) | 1.66666 | − | 3.76388i | 0.0749864 | − | 0.169345i | ||||
\(495\) | 5.23345 | + | 10.9292i | 0.235226 | + | 0.491229i | ||||
\(496\) | −0.839174 | + | 3.13184i | −0.0376800 | + | 0.140624i | ||||
\(497\) | −0.0920695 | + | 0.343608i | −0.00412988 | + | 0.0154129i | ||||
\(498\) | 4.76919 | − | 1.27790i | 0.213713 | − | 0.0572641i | ||||
\(499\) | 12.4800 | − | 12.4800i | 0.558682 | − | 0.558682i | −0.370250 | − | 0.928932i | \(-0.620728\pi\) |
0.928932 | + | 0.370250i | \(0.120728\pi\) | |||||||
\(500\) | −11.1751 | + | 0.343874i | −0.499763 | + | 0.0153785i | ||||
\(501\) | 1.73097 | + | 6.46006i | 0.0773339 | + | 0.288614i | ||||
\(502\) | 27.6996 | 1.23629 | ||||||||
\(503\) | −2.99916 | − | 11.1930i | −0.133726 | − | 0.499072i | 0.866274 | − | 0.499569i | \(-0.166508\pi\) |
−1.00000 | 0.000497269i | \(0.999842\pi\) | ||||||||
\(504\) | −0.0343211 | − | 0.0594459i | −0.00152878 | − | 0.00264793i | ||||
\(505\) | −12.0462 | + | 2.25167i | −0.536050 | + | 0.100198i | ||||
\(506\) | − | 9.69075i | − | 0.430806i | ||||||
\(507\) | 11.5591 | − | 5.94877i | 0.513356 | − | 0.264194i | ||||
\(508\) | −7.51004 | + | 7.51004i | −0.333204 | + | 0.333204i | ||||
\(509\) | −2.85834 | − | 0.765891i | −0.126694 | − | 0.0339475i | 0.194915 | − | 0.980820i | \(-0.437557\pi\) |
−0.321609 | + | 0.946873i | \(0.604224\pi\) | |||||||
\(510\) | −1.39770 | − | 7.47756i | −0.0618912 | − | 0.331112i | ||||
\(511\) | −0.703628 | − | 0.406240i | −0.0311267 | − | 0.0179710i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0.570838 | − | 0.988721i | 0.0252031 | − | 0.0436531i | ||||
\(514\) | 14.6760 | − | 3.93242i | 0.647330 | − | 0.173452i | ||||
\(515\) | 1.33754 | + | 2.79322i | 0.0589390 | + | 0.123084i | ||||
\(516\) | −4.43015 | + | 7.67324i | −0.195026 | + | 0.337796i | ||||
\(517\) | −49.6343 | − | 13.2995i | −2.18291 | − | 0.584910i | ||||
\(518\) | −0.261839 | + | 0.151173i | −0.0115045 | + | 0.00664214i | ||||
\(519\) | −16.3127 | −0.716046 | ||||||||
\(520\) | 8.05869 | − | 0.239686i | 0.353397 | − | 0.0105109i | ||||
\(521\) | 7.20237 | 0.315542 | 0.157771 | − | 0.987476i | \(-0.449569\pi\) | ||||
0.157771 | + | 0.987476i | \(0.449569\pi\) | |||||||
\(522\) | −3.37291 | + | 1.94735i | −0.147628 | + | 0.0852332i | ||||
\(523\) | 13.2297 | + | 3.54489i | 0.578495 | + | 0.155007i | 0.536190 | − | 0.844097i | \(-0.319863\pi\) |
0.0423053 | + | 0.999105i | \(0.486530\pi\) | |||||||
\(524\) | −9.69551 | + | 16.7931i | −0.423550 | + | 0.733610i | ||||
\(525\) | −0.341220 | + | 0.0369178i | −0.0148921 | + | 0.00161122i | ||||
\(526\) | −10.0058 | + | 2.68104i | −0.436272 | + | 0.116899i | ||||
\(527\) | −5.51516 | + | 9.55253i | −0.240244 | + | 0.416115i | ||||
\(528\) | − | 5.41914i | − | 0.235838i | ||||||
\(529\) | 17.1492 | + | 9.90109i | 0.745617 | + | 0.430482i | ||||
\(530\) | −9.80156 | + | 14.3081i | −0.425753 | + | 0.621505i | ||||
\(531\) | −5.49573 | − | 1.47258i | −0.238494 | − | 0.0639043i | ||||
\(532\) | 0.0554140 | − | 0.0554140i | 0.00240250 | − | 0.00240250i | ||||
\(533\) | −20.4107 | + | 2.18707i | −0.884084 | + | 0.0947327i | ||||
\(534\) | − | 0.213620i | − | 0.00924423i | ||||||
\(535\) | 13.6782 | − | 19.9671i | 0.591360 | − | 0.863255i | ||||
\(536\) | −0.519343 | − | 0.899528i | −0.0224322 | − | 0.0388537i | ||||
\(537\) | −3.98770 | − | 14.8823i | −0.172082 | − | 0.642219i | ||||
\(538\) | −3.73208 | −0.160902 | ||||||||
\(539\) | −9.81144 | − | 36.6168i | −0.422608 | − | 1.57720i | ||||
\(540\) | 2.22944 | + | 0.172035i | 0.0959398 | + | 0.00740321i | ||||
\(541\) | −6.11226 | + | 6.11226i | −0.262787 | + | 0.262787i | −0.826185 | − | 0.563399i | \(-0.809494\pi\) |
0.563399 | + | 0.826185i | \(0.309494\pi\) | |||||||
\(542\) | −14.9084 | + | 3.99471i | −0.640373 | + | 0.171587i | ||||
\(543\) | −2.41325 | + | 9.00639i | −0.103563 | + | 0.386501i | ||||
\(544\) | −0.880498 | + | 3.28606i | −0.0377510 | + | 0.140889i | ||||
\(545\) | 23.7866 | − | 11.3902i | 1.01890 | − | 0.487904i | ||||
\(546\) | 0.246084 | − | 0.0263688i | 0.0105314 | − | 0.00112848i | ||||
\(547\) | −1.96357 | − | 1.96357i | −0.0839560 | − | 0.0839560i | 0.663882 | − | 0.747838i | \(-0.268908\pi\) |
−0.747838 | + | 0.663882i | \(0.768908\pi\) | |||||||
\(548\) | −6.01623 | − | 10.4204i | −0.257001 | − | 0.445138i | ||||
\(549\) | 6.71827 | − | 3.87879i | 0.286729 | − | 0.165543i | ||||
\(550\) | −24.7867 | − | 10.9452i | −1.05691 | − | 0.466703i | ||||
\(551\) | −3.14414 | − | 3.14414i | −0.133945 | − | 0.133945i | ||||
\(552\) | −1.54866 | − | 0.894121i | −0.0659155 | − | 0.0380563i | ||||
\(553\) | 0.688452 | + | 0.397478i | 0.0292759 | + | 0.0169025i | ||||
\(554\) | 17.9430 | + | 17.9430i | 0.762325 | + | 0.762325i | ||||
\(555\) | 0.757755 | − | 9.81991i | 0.0321649 | − | 0.416832i | ||||
\(556\) | 3.76993 | − | 2.17657i | 0.159881 | − | 0.0923072i | ||||
\(557\) | −16.2450 | − | 28.1371i | −0.688321 | − | 1.19221i | −0.972381 | − | 0.233400i | \(-0.925015\pi\) |
0.284060 | − | 0.958807i | \(-0.408319\pi\) | |||||||
\(558\) | −2.29267 | − | 2.29267i | −0.0970563 | − | 0.0970563i | ||||
\(559\) | −18.8299 | − | 25.8070i | −0.796419 | − | 1.09152i | ||||
\(560\) | 0.144763 | + | 0.0510145i | 0.00611735 | + | 0.00215576i | ||||
\(561\) | 4.77155 | − | 17.8077i | 0.201455 | − | 0.751840i | ||||
\(562\) | −3.05039 | + | 11.3842i | −0.128673 | + | 0.480214i | ||||
\(563\) | −30.6558 | + | 8.21419i | −1.29199 | + | 0.346187i | −0.838414 | − | 0.545033i | \(-0.816517\pi\) |
−0.453572 | + | 0.891220i | \(0.649850\pi\) | |||||||
\(564\) | −6.70489 | + | 6.70489i | −0.282327 | + | 0.282327i | ||||
\(565\) | −3.44724 | + | 44.6736i | −0.145027 | + | 1.87943i | ||||
\(566\) | −5.47731 | − | 20.4416i | −0.230229 | − | 0.859225i | ||||
\(567\) | 0.0686422 | 0.00288270 | ||||||||
\(568\) | 1.34130 | + | 5.00578i | 0.0562795 | + | 0.210038i | ||||
\(569\) | 8.23444 | + | 14.2625i | 0.345206 | + | 0.597914i | 0.985391 | − | 0.170307i | \(-0.0544759\pi\) |
−0.640186 | + | 0.768220i | \(0.721143\pi\) | |||||||
\(570\) | 0.469056 | + | 2.50941i | 0.0196466 | + | 0.105107i | ||||
\(571\) | 8.91516i | 0.373088i | 0.982447 | + | 0.186544i | \(0.0597286\pi\) | ||||
−0.982447 | + | 0.186544i | \(0.940271\pi\) | |||||||
\(572\) | 17.8658 | + | 7.91104i | 0.747008 | + | 0.330777i | ||||
\(573\) | 17.1442 | − | 17.1442i | 0.716208 | − | 0.716208i | ||||
\(574\) | −0.377485 | − | 0.101147i | −0.0157559 | − | 0.00422178i | ||||
\(575\) | −7.21751 | + | 5.27759i | −0.300991 | + | 0.220091i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | − | 0.0200033i | − | 0.000832749i | −1.00000 | 0.000416374i | \(-0.999867\pi\) | |||
1.00000 | 0.000416374i | \(-0.000132536\pi\) | ||||||||
\(578\) | 2.71326 | − | 4.69950i | 0.112857 | − | 0.195473i | ||||
\(579\) | 24.1372 | − | 6.46754i | 1.00311 | − | 0.268782i | ||||
\(580\) | 2.89452 | − | 8.21372i | 0.120188 | − | 0.341056i | ||||
\(581\) | −0.169458 | + | 0.293510i | −0.00703031 | + | 0.0121768i | ||||
\(582\) | −13.4107 | − | 3.59338i | −0.555890 | − | 0.148950i | ||||
\(583\) | −36.4008 | + | 21.0160i | −1.50757 | + | 0.870393i | ||||
\(584\) | −11.8364 | −0.489796 | ||||||||
\(585\) | −3.82177 | + | 7.09888i | −0.158011 | + | 0.293502i | ||||
\(586\) | 10.7133 | 0.442562 | ||||||||
\(587\) | −15.7733 | + | 9.10670i | −0.651032 | + | 0.375874i | −0.788852 | − | 0.614584i | \(-0.789324\pi\) |
0.137819 | + | 0.990457i | \(0.455991\pi\) | |||||||
\(588\) | −6.75693 | − | 1.81051i | −0.278651 | − | 0.0746643i | ||||
\(589\) | 1.85084 | − | 3.20575i | 0.0762625 | − | 0.132091i | ||||
\(590\) | 11.4746 | − | 5.49463i | 0.472402 | − | 0.226210i | ||||
\(591\) | 6.79459 | − | 1.82061i | 0.279492 | − | 0.0748897i | ||||
\(592\) | −2.20233 | + | 3.81454i | −0.0905151 | + | 0.156777i | ||||
\(593\) | 25.0570i | 1.02897i | 0.857500 | + | 0.514483i | \(0.172016\pi\) | ||||
−0.857500 | + | 0.514483i | \(0.827984\pi\) | |||||||
\(594\) | 4.69312 | + | 2.70957i | 0.192561 | + | 0.111175i | ||||
\(595\) | 0.430782 | + | 0.295100i | 0.0176603 | + | 0.0120979i | ||||
\(596\) | −16.2235 | − | 4.34708i | −0.664541 | − | 0.178063i | ||||
\(597\) | −15.6843 | + | 15.6843i | −0.641915 | + | 0.641915i | ||||
\(598\) | 5.20853 | − | 3.80037i | 0.212993 | − | 0.155409i | ||||
\(599\) | 4.49917i | 0.183831i | 0.995767 | + | 0.0919155i | \(0.0292990\pi\) | ||||
−0.995767 | + | 0.0919155i | \(0.970701\pi\) | |||||||
\(600\) | −4.03609 | + | 2.95127i | −0.164773 | + | 0.120485i | ||||
\(601\) | −1.96296 | − | 3.39994i | −0.0800706 | − | 0.138686i | 0.823209 | − | 0.567738i | \(-0.192181\pi\) |
−0.903280 | + | 0.429051i | \(0.858848\pi\) | |||||||
\(602\) | −0.157411 | − | 0.587467i | −0.00641560 | − | 0.0239434i | ||||
\(603\) | 1.03869 | 0.0422986 | ||||||||
\(604\) | −0.0827656 | − | 0.308886i | −0.00336769 | − | 0.0125684i | ||||
\(605\) | −26.7206 | − | 31.1892i | −1.08635 | − | 1.26802i | ||||
\(606\) | −3.87533 | + | 3.87533i | −0.157424 | + | 0.157424i | ||||
\(607\) | 30.3075 | − | 8.12088i | 1.23014 | − | 0.329616i | 0.415509 | − | 0.909589i | \(-0.363603\pi\) |
0.814636 | + | 0.579973i | \(0.196937\pi\) | |||||||
\(608\) | 0.295488 | − | 1.10278i | 0.0119836 | − | 0.0447234i | ||||
\(609\) | 0.0691929 | − | 0.258232i | 0.00280384 | − | 0.0104641i | ||||
\(610\) | −5.76540 | + | 16.3603i | −0.233434 | + | 0.662411i | ||||
\(611\) | −12.3167 | − | 31.8927i | −0.498280 | − | 1.29024i | ||||
\(612\) | −2.40557 | − | 2.40557i | −0.0972392 | − | 0.0972392i | ||||
\(613\) | 11.6419 | + | 20.1643i | 0.470211 | + | 0.814429i | 0.999420 | − | 0.0340625i | \(-0.0108445\pi\) |
−0.529209 | + | 0.848492i | \(0.677511\pi\) | |||||||
\(614\) | −16.0414 | + | 9.26151i | −0.647378 | + | 0.373764i | ||||
\(615\) | 9.66780 | − | 8.28265i | 0.389843 | − | 0.333989i | ||||
\(616\) | 0.263031 | + | 0.263031i | 0.0105978 | + | 0.0105978i | ||||
\(617\) | −27.2389 | − | 15.7264i | −1.09659 | − | 0.633119i | −0.161270 | − | 0.986910i | \(-0.551559\pi\) |
−0.935325 | + | 0.353791i | \(0.884892\pi\) | |||||||
\(618\) | 1.19944 | + | 0.692499i | 0.0482487 | + | 0.0278564i | ||||
\(619\) | −28.3021 | − | 28.3021i | −1.13756 | − | 1.13756i | −0.988887 | − | 0.148669i | \(-0.952501\pi\) |
−0.148669 | − | 0.988887i | \(-0.547499\pi\) | |||||||
\(620\) | 7.22855 | + | 0.557792i | 0.290306 | + | 0.0224015i | ||||
\(621\) | 1.54866 | − | 0.894121i | 0.0621457 | − | 0.0358799i | ||||
\(622\) | 1.48686 | + | 2.57533i | 0.0596178 | + | 0.103261i | ||||
\(623\) | 0.0103685 | + | 0.0103685i | 0.000415407 | + | 0.000415407i | ||||
\(624\) | 2.91265 | − | 2.12520i | 0.116599 | − | 0.0850760i | ||||
\(625\) | 5.34709 | + | 24.4215i | 0.213883 | + | 0.976859i | ||||
\(626\) | 3.54891 | − | 13.2447i | 0.141843 | − | 0.529366i | ||||
\(627\) | −1.60129 | + | 5.97610i | −0.0639494 | + | 0.238662i | ||||
\(628\) | −21.8678 | + | 5.85945i | −0.872619 | + | 0.233817i | ||||
\(629\) | −10.5957 | + | 10.5957i | −0.422477 | + | 0.422477i | ||||
\(630\) | −0.116561 | + | 0.0998611i | −0.00464391 | + | 0.00397856i | ||||
\(631\) | −7.93986 | − | 29.6319i | −0.316081 | − | 1.17963i | −0.922979 | − | 0.384850i | \(-0.874253\pi\) |
0.606899 | − | 0.794779i | \(-0.292413\pi\) | |||||||
\(632\) | 11.5811 | 0.460673 | ||||||||
\(633\) | 5.22913 | + | 19.5154i | 0.207839 | + | 0.775666i | ||||
\(634\) | 3.22848 | + | 5.59190i | 0.128219 | + | 0.222083i | ||||
\(635\) | 19.5926 | + | 13.4216i | 0.777507 | + | 0.532619i | ||||
\(636\) | 7.75620i | 0.307553i | ||||||||
\(637\) | 15.8329 | − | 19.6332i | 0.627322 | − | 0.777896i | ||||
\(638\) | 14.9242 | − | 14.9242i | 0.590853 | − | 0.590853i | ||||
\(639\) | −5.00578 | − | 1.34130i | −0.198026 | − | 0.0530608i | ||||
\(640\) | 2.19800 | − | 0.410849i | 0.0868836 | − | 0.0162402i | ||||
\(641\) | 23.3183 | + | 13.4628i | 0.921018 | + | 0.531750i | 0.883960 | − | 0.467563i | \(-0.154868\pi\) |
0.0370580 | + | 0.999313i | \(0.488201\pi\) | |||||||
\(642\) | − | 10.8239i | − | 0.427184i | ||||||
\(643\) | 6.72252 | − | 11.6437i | 0.265110 | − | 0.459185i | −0.702482 | − | 0.711701i | \(-0.747925\pi\) |
0.967593 | + | 0.252517i | \(0.0812583\pi\) | |||||||
\(644\) | 0.118566 | − | 0.0317698i | 0.00467217 | − | 0.00125190i | ||||
\(645\) | 18.6859 | + | 6.58493i | 0.735757 | + | 0.259281i | ||||
\(646\) | 1.94198 | − | 3.36361i | 0.0764063 | − | 0.132340i | ||||
\(647\) | 9.19569 | + | 2.46398i | 0.361520 | + | 0.0968690i | 0.435007 | − | 0.900427i | \(-0.356746\pi\) |
−0.0734867 | + | 0.997296i | \(0.523413\pi\) | |||||||
\(648\) | 0.866025 | − | 0.500000i | 0.0340207 | − | 0.0196419i | ||||
\(649\) | 30.8327 | 1.21029 | ||||||||
\(650\) | −3.83773 | − | 17.6145i | −0.150528 | − | 0.690899i | ||||
\(651\) | 0.222560 | 0.00872281 | ||||||||
\(652\) | 9.90998 | − | 5.72153i | 0.388105 | − | 0.224072i | ||||
\(653\) | −17.5352 | − | 4.69855i | −0.686206 | − | 0.183868i | −0.101162 | − | 0.994870i | \(-0.532256\pi\) |
−0.585044 | + | 0.811002i | \(0.698923\pi\) | |||||||
\(654\) | 5.89719 | − | 10.2142i | 0.230598 | − | 0.399408i | ||||
\(655\) | 40.8946 | + | 14.4113i | 1.59789 | + | 0.563096i | ||||
\(656\) | −5.49931 | + | 1.47354i | −0.214712 | + | 0.0575319i | ||||
\(657\) | 5.91822 | − | 10.2507i | 0.230892 | − | 0.399916i | ||||
\(658\) | − | 0.650876i | − | 0.0253738i | ||||||
\(659\) | −5.97168 | − | 3.44775i | −0.232624 | − | 0.134305i | 0.379158 | − | 0.925332i | \(-0.376214\pi\) |
−0.611782 | + | 0.791027i | \(0.709547\pi\) | |||||||
\(660\) | −11.9113 | + | 2.22645i | −0.463646 | + | 0.0866644i | ||||
\(661\) | −23.7763 | − | 6.37085i | −0.924792 | − | 0.247797i | −0.235160 | − | 0.971957i | \(-0.575561\pi\) |
−0.689633 | + | 0.724159i | \(0.742228\pi\) | |||||||
\(662\) | 14.3133 | − | 14.3133i | 0.556303 | − | 0.556303i | ||||
\(663\) | 11.4424 | − | 4.41895i | 0.444386 | − | 0.171618i | ||||
\(664\) | 4.93743i | 0.191609i | ||||||||
\(665\) | −0.144567 | − | 0.0990332i | −0.00560606 | − | 0.00384034i | ||||
\(666\) | −2.20233 | − | 3.81454i | −0.0853384 | − | 0.147810i | ||||
\(667\) | −1.80259 | − | 6.72736i | −0.0697966 | − | 0.260484i | ||||
\(668\) | −6.68794 | −0.258764 | ||||||||
\(669\) | 4.71011 | + | 17.5784i | 0.182103 | + | 0.679619i | ||||
\(670\) | −1.76379 | + | 1.51109i | −0.0681412 | + | 0.0583783i | ||||
\(671\) | −29.7264 | + | 29.7264i | −1.14758 | + | 1.14758i | ||||
\(672\) | 0.0663033 | − | 0.0177659i | 0.00255770 | − | 0.000685335i | ||||
\(673\) | 4.96061 | − | 18.5132i | 0.191217 | − | 0.713633i | −0.801996 | − | 0.597329i | \(-0.796229\pi\) |
0.993214 | − | 0.116304i | \(-0.0371047\pi\) | |||||||
\(674\) | −5.19914 | + | 19.4034i | −0.200263 | + | 0.747392i | ||||
\(675\) | −0.537829 | − | 4.97099i | −0.0207011 | − | 0.191333i | ||||
\(676\) | 2.75437 | + | 12.7049i | 0.105937 | + | 0.488648i | ||||
\(677\) | −13.3554 | − | 13.3554i | −0.513291 | − | 0.513291i | 0.402242 | − | 0.915533i | \(-0.368231\pi\) |
−0.915533 | + | 0.402242i | \(0.868231\pi\) | |||||||
\(678\) | 10.0190 | + | 17.3534i | 0.384778 | + | 0.666455i | ||||
\(679\) | 0.825332 | − | 0.476505i | 0.0316733 | − | 0.0182866i | ||||
\(680\) | 7.58452 | + | 0.585260i | 0.290853 | + | 0.0224437i | ||||
\(681\) | −11.2262 | − | 11.2262i | −0.430188 | − | 0.430188i | ||||
\(682\) | 15.2166 | + | 8.78530i | 0.582673 | + | 0.336406i | ||||
\(683\) | 13.8583 | + | 8.00107i | 0.530271 | + | 0.306152i | 0.741127 | − | 0.671365i | \(-0.234292\pi\) |
−0.210856 | + | 0.977517i | \(0.567625\pi\) | |||||||
\(684\) | 0.807288 | + | 0.807288i | 0.0308674 | + | 0.0308674i | ||||
\(685\) | −20.4323 | + | 17.5049i | −0.780678 | + | 0.668827i | ||||
\(686\) | 0.831963 | − | 0.480334i | 0.0317645 | − | 0.0183392i | ||||
\(687\) | 4.65014 | + | 8.05427i | 0.177414 | + | 0.307290i | ||||
\(688\) | −6.26518 | − | 6.26518i | −0.238858 | − | 0.238858i | ||||
\(689\) | −25.5706 | − | 11.3227i | −0.974164 | − | 0.431362i | ||||
\(690\) | −1.32901 | + | 3.77131i | −0.0505946 | + | 0.143571i | ||||
\(691\) | −9.59085 | + | 35.7936i | −0.364853 | + | 1.36165i | 0.502766 | + | 0.864422i | \(0.332316\pi\) |
−0.867620 | + | 0.497229i | \(0.834351\pi\) | |||||||
\(692\) | 4.22203 | − | 15.7568i | 0.160497 | − | 0.598984i | ||||
\(693\) | −0.359307 | + | 0.0962761i | −0.0136489 | + | 0.00365722i | ||||
\(694\) | 19.8075 | − | 19.8075i | 0.751884 | − | 0.751884i | ||||
\(695\) | −6.33297 | − | 7.39207i | −0.240223 | − | 0.280397i | ||||
\(696\) | −1.00802 | − | 3.76199i | −0.0382090 | − | 0.142598i | ||||
\(697\) | −19.3685 | −0.733635 | ||||||||
\(698\) | 5.33144 | + | 19.8972i | 0.201798 | + | 0.753120i | ||||
\(699\) | −11.7979 | − | 20.4346i | −0.446239 | − | 0.772909i | ||||
\(700\) | 0.0526543 | − | 0.339148i | 0.00199015 | − | 0.0128186i | ||||
\(701\) | 9.21330i | 0.347982i | 0.984747 | + | 0.173991i | \(0.0556663\pi\) | ||||
−0.984747 | + | 0.173991i | \(0.944334\pi\) | |||||||
\(702\) | 0.384149 | + | 3.58503i | 0.0144988 | + | 0.135308i | ||||
\(703\) | 3.55582 | − | 3.55582i | 0.134110 | − | 0.134110i | ||||
\(704\) | 5.23449 | + | 1.40258i | 0.197282 | + | 0.0528616i | ||||
\(705\) | 17.4921 | + | 11.9827i | 0.658789 | + | 0.451293i | ||||
\(706\) | −4.88014 | − | 2.81755i | −0.183666 | − | 0.106040i | ||||
\(707\) | − | 0.376197i | − | 0.0141483i | ||||||
\(708\) | 2.84480 | − | 4.92733i | 0.106914 | − | 0.185180i | ||||
\(709\) | −41.8016 | + | 11.2007i | −1.56989 | + | 0.420651i | −0.935778 | − | 0.352590i | \(-0.885301\pi\) |
−0.634113 | + | 0.773241i | \(0.718634\pi\) | |||||||
\(710\) | 10.4516 | − | 5.00479i | 0.392243 | − | 0.187826i | ||||
\(711\) | −5.79057 | + | 10.0296i | −0.217163 | + | 0.376138i | ||||
\(712\) | 0.206341 | + | 0.0552889i | 0.00773295 | + | 0.00207204i | ||||
\(713\) | 5.02126 | − | 2.89903i | 0.188048 | − | 0.108569i | ||||
\(714\) | 0.233520 | 0.00873925 | ||||||||
\(715\) | 10.0483 | − | 42.5193i | 0.375786 | − | 1.59013i | ||||
\(716\) | 15.4073 | 0.575798 | ||||||||
\(717\) | −16.9685 | + | 9.79675i | −0.633699 | + | 0.365867i | ||||
\(718\) | 9.42309 | + | 2.52491i | 0.351667 | + | 0.0942288i | ||||
\(719\) | −15.2449 | + | 26.4050i | −0.568540 | + | 0.984741i | 0.428170 | + | 0.903698i | \(0.359158\pi\) |
−0.996711 | + | 0.0810429i | \(0.974175\pi\) | |||||||
\(720\) | −0.743195 | + | 2.10895i | −0.0276972 | + | 0.0785959i | ||||
\(721\) | −0.0918300 | + | 0.0246058i | −0.00341993 | + | 0.000916367i | ||||
\(722\) | 8.84829 | − | 15.3257i | 0.329299 | − | 0.570363i | ||||
\(723\) | 5.02860i | 0.187016i | ||||||||
\(724\) | −8.07491 | − | 4.66205i | −0.300101 | − | 0.173264i | ||||
\(725\) | −19.2430 | − | 2.98756i | −0.714666 | − | 0.110955i | ||||
\(726\) | −17.7413 | − | 4.75376i | −0.658441 | − | 0.176429i | ||||
\(727\) | 6.36716 | − | 6.36716i | 0.236145 | − | 0.236145i | −0.579107 | − | 0.815252i | \(-0.696599\pi\) |
0.815252 | + | 0.579107i | \(0.196599\pi\) | |||||||
\(728\) | −0.0382210 | + | 0.244524i | −0.00141656 | + | 0.00906266i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 4.86299 | + | 26.0165i | 0.179987 | + | 0.962914i | ||||
\(731\) | −15.0713 | − | 26.1042i | −0.557432 | − | 0.965500i | ||||
\(732\) | 2.00781 | + | 7.49325i | 0.0742108 | + | 0.276959i | ||||
\(733\) | 40.5199 | 1.49664 | 0.748319 | − | 0.663340i | \(-0.230861\pi\) | ||||
0.748319 | + | 0.663340i | \(0.230861\pi\) | |||||||
\(734\) | 2.70714 | + | 10.1032i | 0.0999223 | + | 0.372915i | ||||
\(735\) | −1.20343 | + | 15.5956i | −0.0443894 | + | 0.575252i | ||||
\(736\) | 1.26448 | − | 1.26448i | 0.0466093 | − | 0.0466093i | ||||
\(737\) | −5.43699 | + | 1.45684i | −0.200274 | + | 0.0536633i | ||||
\(738\) | 1.47354 | − | 5.49931i | 0.0542416 | − | 0.202432i | ||||
\(739\) | −3.56257 | + | 13.2957i | −0.131051 | + | 0.489089i | −0.999983 | − | 0.00584246i | \(-0.998140\pi\) |
0.868932 | + | 0.494932i | \(0.164807\pi\) | |||||||
\(740\) | 9.28919 | + | 3.27352i | 0.341477 | + | 0.120337i | ||||
\(741\) | −3.83997 | + | 1.48296i | −0.141065 | + | 0.0544780i | ||||
\(742\) | −0.376466 | − | 0.376466i | −0.0138205 | − | 0.0138205i | ||||
\(743\) | −23.9312 | − | 41.4501i | −0.877951 | − | 1.52065i | −0.853586 | − | 0.520952i | \(-0.825577\pi\) |
−0.0243644 | − | 0.999703i | \(-0.507756\pi\) | |||||||
\(744\) | 2.80793 | − | 1.62116i | 0.102944 | − | 0.0594346i | ||||
\(745\) | −2.88947 | + | 37.4453i | −0.105862 | + | 1.37189i | ||||
\(746\) | −4.65646 | − | 4.65646i | −0.170485 | − | 0.170485i | ||||
\(747\) | −4.27594 | − | 2.46871i | −0.156448 | − | 0.0903256i | ||||
\(748\) | 15.9659 | + | 9.21792i | 0.583771 | + | 0.337041i | ||||
\(749\) | 0.525362 | + | 0.525362i | 0.0191963 | + | 0.0191963i | ||||
\(750\) | 8.14511 | + | 7.65880i | 0.297417 | + | 0.279660i | ||||
\(751\) | 11.5401 | − | 6.66266i | 0.421103 | − | 0.243124i | −0.274446 | − | 0.961602i | \(-0.588495\pi\) |
0.695549 | + | 0.718479i | \(0.255161\pi\) | |||||||
\(752\) | −4.74108 | − | 8.21179i | −0.172889 | − | 0.299453i | ||||
\(753\) | −19.5866 | − | 19.5866i | −0.713775 | − | 0.713775i | ||||
\(754\) | 13.8741 | + | 2.16863i | 0.505264 | + | 0.0789767i | ||||
\(755\) | −0.644926 | + | 0.308824i | −0.0234713 | + | 0.0112393i | ||||
\(756\) | −0.0177659 | + | 0.0663033i | −0.000646140 | + | 0.00241143i | ||||
\(757\) | −4.53887 | + | 16.9393i | −0.164968 | + | 0.615668i | 0.833076 | + | 0.553158i | \(0.186577\pi\) |
−0.998044 | + | 0.0625106i | \(0.980089\pi\) | |||||||
\(758\) | 7.82771 | − | 2.09743i | 0.284315 | − | 0.0761821i | ||||
\(759\) | −6.85239 | + | 6.85239i | −0.248726 | + | 0.248726i | ||||
\(760\) | −2.54530 | − | 0.196408i | −0.0923278 | − | 0.00712448i | ||||
\(761\) | 10.9525 | + | 40.8753i | 0.397028 | + | 1.48173i | 0.818299 | + | 0.574793i | \(0.194917\pi\) |
−0.421271 | + | 0.906935i | \(0.638416\pi\) | |||||||
\(762\) | 10.6208 | 0.384751 | ||||||||
\(763\) | 0.209538 | + | 0.782007i | 0.00758579 | + | 0.0283105i | ||||
\(764\) | 12.1228 | + | 20.9972i | 0.438586 | + | 0.759653i | ||||
\(765\) | −4.29911 | + | 6.27576i | −0.155435 | + | 0.226900i | ||||
\(766\) | − | 12.8545i | − | 0.464450i | ||||||
\(767\) | 12.0915 | + | 16.5718i | 0.436599 | + | 0.598373i | ||||
\(768\) | 0.707107 | − | 0.707107i | 0.0255155 | − | 0.0255155i | ||||
\(769\) | 23.4731 | + | 6.28959i | 0.846460 | + | 0.226808i | 0.655882 | − | 0.754864i | \(-0.272297\pi\) |
0.190578 | + | 0.981672i | \(0.438964\pi\) | |||||||
\(770\) | 0.470076 | − | 0.686208i | 0.0169404 | − | 0.0247292i | ||||
\(771\) | −13.1581 | − | 7.59685i | −0.473878 | − | 0.273594i | ||||
\(772\) | 24.9887i | 0.899361i | ||||||||
\(773\) | 8.58044 | − | 14.8618i | 0.308617 | − | 0.534540i | −0.669443 | − | 0.742863i | \(-0.733467\pi\) |
0.978060 | + | 0.208323i | \(0.0668005\pi\) | |||||||
\(774\) | 8.55839 | − | 2.29321i | 0.307625 | − | 0.0824279i | ||||
\(775\) | −1.74381 | − | 16.1175i | −0.0626396 | − | 0.578959i | ||||
\(776\) | 6.94187 | − | 12.0237i | 0.249199 | − | 0.431625i | ||||
\(777\) | 0.292043 | + | 0.0782527i | 0.0104770 | + | 0.00280730i | ||||
\(778\) | 33.0652 | − | 19.0902i | 1.18545 | − | 0.684417i | ||||
\(779\) | 6.49991 | 0.232884 | ||||||||
\(780\) | −5.86784 | − | 5.52887i | −0.210102 | − | 0.197965i | ||||
\(781\) | 28.0840 | 1.00492 | ||||||||
\(782\) | 5.26853 | − | 3.04179i | 0.188402 | − | 0.108774i | ||||
\(783\) | 3.76199 | + | 1.00802i | 0.134443 | + | 0.0360238i | ||||
\(784\) | 3.49764 | − | 6.05810i | 0.124916 | − | 0.216361i | ||||
\(785\) | 21.8634 | + | 45.6580i | 0.780338 | + | 1.62960i | ||||
\(786\) | 18.7303 | − | 5.01876i | 0.668087 | − | 0.179013i | ||||
\(787\) | 0.0836833 | − | 0.144944i | 0.00298299 | − | 0.00516669i | −0.864530 | − | 0.502581i | \(-0.832384\pi\) |
0.867513 | + | 0.497414i | \(0.165717\pi\) | |||||||
\(788\) | 7.03428i | 0.250586i | ||||||||
\(789\) | 8.97093 | + | 5.17937i | 0.319373 | + | 0.184390i | ||||
\(790\) | −4.75810 | − | 25.4554i | −0.169286 | − | 0.905661i | ||||
\(791\) | −1.32859 | − | 0.355994i | −0.0472391 | − | 0.0126577i | ||||
\(792\) | −3.83191 | + | 3.83191i | −0.136161 | + | 0.136161i | ||||
\(793\) | −27.6348 | − | 4.31954i | −0.981342 | − | 0.153391i | ||||
\(794\) | − | 24.1221i | − | 0.856062i | ||||||
\(795\) | 17.0481 | − | 3.18662i | 0.604635 | − | 0.113018i | ||||
\(796\) | −11.0905 | − | 19.2092i | −0.393091 | − | 0.680854i | ||||
\(797\) | −5.28534 | − | 19.7252i | −0.187217 | − | 0.698702i | −0.994145 | − | 0.108053i | \(-0.965538\pi\) |
0.806929 | − | 0.590649i | \(-0.201128\pi\) | |||||||
\(798\) | −0.0783672 | −0.00277417 | ||||||||
\(799\) | −8.34902 | − | 31.1590i | −0.295367 | − | 1.10232i | ||||
\(800\) | −1.80609 | − | 4.66241i | −0.0638549 | − | 0.164841i | ||||
\(801\) | −0.151052 | + | 0.151052i | −0.00533716 | + | 0.00533716i | ||||
\(802\) | 37.2272 | − | 9.97501i | 1.31454 | − | 0.352230i | ||||
\(803\) | −16.6015 | + | 61.9578i | −0.585855 | + | 2.18644i | ||||
\(804\) | −0.268832 | + | 1.00329i | −0.00948096 | + | 0.0353834i | ||||
\(805\) | −0.118543 | − | 0.247556i | −0.00417808 | − | 0.00872521i | ||||
\(806\) | 1.24553 | + | 11.6238i | 0.0438720 | + | 0.409431i | ||||
\(807\) | 2.63898 | + | 2.63898i | 0.0928966 | + | 0.0928966i | ||||
\(808\) | −2.74027 | − | 4.74629i | −0.0964024 | − | 0.166974i | ||||
\(809\) | −32.4615 | + | 18.7417i | −1.14129 | + | 0.658922i | −0.946749 | − | 0.321973i | \(-0.895654\pi\) |
−0.194537 | + | 0.980895i | \(0.562321\pi\) | |||||||
\(810\) | −1.45481 | − | 1.69810i | −0.0511166 | − | 0.0596651i | ||||
\(811\) | 27.9343 | + | 27.9343i | 0.980907 | + | 0.980907i | 0.999821 | − | 0.0189136i | \(-0.00602076\pi\) |
−0.0189136 | + | 0.999821i | \(0.506021\pi\) | |||||||
\(812\) | 0.231524 | + | 0.133670i | 0.00812490 | + | 0.00469091i | ||||
\(813\) | 13.3665 | + | 7.71718i | 0.468785 | + | 0.270653i | ||||
\(814\) | 16.8783 | + | 16.8783i | 0.591582 | + | 0.591582i | ||||
\(815\) | −16.6474 | − | 19.4314i | −0.583134 | − | 0.680654i | ||||
\(816\) | 2.94620 | − | 1.70099i | 0.103138 | − | 0.0595466i | ||||
\(817\) | 5.05780 | + | 8.76036i | 0.176950 | + | 0.306486i | ||||
\(818\) | 12.5628 | + | 12.5628i | 0.439249 | + | 0.439249i | ||||
\(819\) | −0.192653 | − | 0.155362i | −0.00673186 | − | 0.00542880i | ||||
\(820\) | 5.49821 | + | 11.4821i | 0.192006 | + | 0.400972i | ||||
\(821\) | −3.50998 | + | 13.0994i | −0.122499 | + | 0.457173i | −0.999738 | − | 0.0228809i | \(-0.992716\pi\) |
0.877239 | + | 0.480054i | \(0.159383\pi\) | |||||||
\(822\) | −3.11423 | + | 11.6225i | −0.108621 | + | 0.405380i | ||||
\(823\) | −7.16885 | + | 1.92089i | −0.249890 | + | 0.0669579i | −0.381590 | − | 0.924332i | \(-0.624623\pi\) |
0.131699 | + | 0.991290i | \(0.457957\pi\) | |||||||
\(824\) | −0.979342 | + | 0.979342i | −0.0341170 | + | 0.0341170i | ||||
\(825\) | 9.78746 | + | 25.2663i | 0.340756 | + | 0.879658i | ||||
\(826\) | 0.101081 | + | 0.377239i | 0.00351705 | + | 0.0131258i | ||||
\(827\) | 55.9023 | 1.94391 | 0.971957 | − | 0.235159i | \(-0.0755611\pi\) | ||||
0.971957 | + | 0.235159i | \(0.0755611\pi\) | |||||||
\(828\) | 0.462831 | + | 1.72731i | 0.0160845 | + | 0.0600282i | ||||
\(829\) | −16.1654 | − | 27.9992i | −0.561446 | − | 0.972454i | −0.997371 | − | 0.0724702i | \(-0.976912\pi\) |
0.435924 | − | 0.899983i | \(-0.356422\pi\) | |||||||
\(830\) | 10.8525 | − | 2.02854i | 0.376695 | − | 0.0704115i | ||||
\(831\) | − | 25.3752i | − | 0.880257i | ||||||
\(832\) | 1.29893 | + | 3.36345i | 0.0450324 | + | 0.116607i | ||||
\(833\) | 16.8276 | − | 16.8276i | 0.583043 | − | 0.583043i | ||||
\(834\) | −4.20481 | − | 1.12668i | −0.145601 | − | 0.0390136i | ||||
\(835\) | 2.74773 | + | 14.7001i | 0.0950892 | + | 0.508718i | ||||
\(836\) | −5.35802 | − | 3.09346i | −0.185311 | − | 0.106989i | ||||
\(837\) | 3.24232i | 0.112071i | ||||||||
\(838\) | −2.35976 | + | 4.08722i | −0.0815165 | + | 0.141191i | ||||
\(839\) | −5.89837 | + | 1.58046i | −0.203634 | + | 0.0545637i | −0.359194 | − | 0.933263i | \(-0.616948\pi\) |
0.155560 | + | 0.987826i | \(0.450282\pi\) | |||||||
\(840\) | −0.0662901 | − | 0.138436i | −0.00228723 | − | 0.00477648i | ||||
\(841\) | −6.91565 | + | 11.9783i | −0.238471 | + | 0.413043i | ||||
\(842\) | −22.1464 | − | 5.93410i | −0.763214 | − | 0.204503i | ||||
\(843\) | 10.2068 | − | 5.89290i | 0.351541 | − | 0.202962i | ||||
\(844\) | −20.2038 | −0.695443 | ||||||||
\(845\) | 26.7937 | − | 11.2739i | 0.921730 | − | 0.387833i | ||||
\(846\) | 9.48215 | 0.326003 | ||||||||
\(847\) | 1.09185 | − | 0.630380i | 0.0375164 | − | 0.0216601i | ||||
\(848\) | −7.49191 | − | 2.00745i | −0.257273 | − | 0.0689362i | ||||
\(849\) | −10.5814 | + | 18.3274i | −0.363151 | + | 0.628996i | ||||
\(850\) | −1.82969 | − | 16.9112i | −0.0627577 | − | 0.580050i | ||||
\(851\) | 7.60820 | − | 2.03861i | 0.260806 | − | 0.0698827i | ||||
\(852\) | 2.59118 | − | 4.48806i | 0.0887725 | − | 0.153758i | ||||
\(853\) | 47.1782i | 1.61535i | 0.589627 | + | 0.807676i | \(0.299275\pi\) | ||||
−0.589627 | + | 0.807676i | \(0.700725\pi\) | |||||||
\(854\) | −0.461157 | − | 0.266249i | −0.0157805 | − | 0.00911085i | ||||
\(855\) | 1.44275 | − | 2.10609i | 0.0493408 | − | 0.0720268i | ||||
\(856\) | 10.4550 | + | 2.80142i | 0.357346 | + | 0.0957506i | ||||
\(857\) | 27.1912 | − | 27.1912i | 0.928835 | − | 0.928835i | −0.0687960 | − | 0.997631i | \(-0.521916\pi\) |
0.997631 | + | 0.0687960i | \(0.0219157\pi\) | |||||||
\(858\) | −7.03910 | − | 18.2270i | −0.240311 | − | 0.622260i | ||||
\(859\) | 37.8456i | 1.29127i | 0.763645 | + | 0.645637i | \(0.223408\pi\) | ||||
−0.763645 | + | 0.645637i | \(0.776592\pi\) | |||||||
\(860\) | −11.1968 | + | 16.3449i | −0.381808 | + | 0.557356i | ||||
\(861\) | 0.195400 | + | 0.338444i | 0.00665923 | + | 0.0115341i | ||||
\(862\) | −6.81996 | − | 25.4525i | −0.232289 | − | 0.866914i | ||||
\(863\) | 41.3242 | 1.40669 | 0.703346 | − | 0.710847i | \(-0.251688\pi\) | ||||
0.703346 | + | 0.710847i | \(0.251688\pi\) | |||||||
\(864\) | 0.258819 | + | 0.965926i | 0.00880520 | + | 0.0328615i | ||||
\(865\) | −36.3681 | − | 2.80635i | −1.23655 | − | 0.0954187i | ||||
\(866\) | −14.1765 | + | 14.1765i | −0.481737 | + | 0.481737i | ||||
\(867\) | −5.24161 | + | 1.40448i | −0.178014 | + | 0.0476988i | ||||
\(868\) | −0.0576027 | + | 0.214976i | −0.00195516 | + | 0.00729677i | ||||
\(869\) | 16.2435 | − | 60.6214i | 0.551022 | − | 2.05644i | ||||
\(870\) | −7.85471 | + | 3.76124i | −0.266300 | + | 0.127518i | ||||
\(871\) | −2.91521 | − | 2.35092i | −0.0987781 | − | 0.0796580i | ||||
\(872\) | 8.33989 | + | 8.33989i | 0.282424 | + | 0.282424i | ||||
\(873\) | 6.94187 | + | 12.0237i | 0.234947 | + | 0.406940i | ||||
\(874\) | −1.76807 | + | 1.02080i | −0.0598060 | + | 0.0345290i | ||||
\(875\) | −0.767080 | + | 0.0236043i | −0.0259320 | + | 0.000797969i | ||||
\(876\) | 8.36963 | + | 8.36963i | 0.282784 | + | 0.282784i | ||||
\(877\) | 23.2348 | + | 13.4146i | 0.784583 | + | 0.452979i | 0.838052 | − | 0.545590i | \(-0.183694\pi\) |
−0.0534688 | + | 0.998570i | \(0.517028\pi\) | |||||||
\(878\) | 6.71707 | + | 3.87810i | 0.226690 | + | 0.130880i | ||||
\(879\) | −7.57544 | − | 7.57544i | −0.255513 | − | 0.255513i | ||||
\(880\) | 0.932283 | − | 12.0817i | 0.0314272 | − | 0.407273i | ||||
\(881\) | 19.8210 | − | 11.4437i | 0.667788 | − | 0.385547i | −0.127450 | − | 0.991845i | \(-0.540679\pi\) |
0.795238 | + | 0.606298i | \(0.207346\pi\) | |||||||
\(882\) | 3.49764 | + | 6.05810i | 0.117772 | + | 0.203987i | ||||
\(883\) | −31.2334 | − | 31.2334i | −1.05109 | − | 1.05109i | −0.998623 | − | 0.0524655i | \(-0.983292\pi\) |
−0.0524655 | − | 0.998623i | \(-0.516708\pi\) | |||||||
\(884\) | 1.30687 | + | 12.1962i | 0.0439547 | + | 0.410203i | ||||
\(885\) | −11.9991 | − | 4.22848i | −0.403344 | − | 0.142139i | ||||
\(886\) | −2.66419 | + | 9.94288i | −0.0895051 | + | 0.334037i | ||||
\(887\) | −12.6629 | + | 47.2584i | −0.425177 | + | 1.58678i | 0.338359 | + | 0.941017i | \(0.390128\pi\) |
−0.763536 | + | 0.645765i | \(0.776539\pi\) | |||||||
\(888\) | 4.25457 | − | 1.14001i | 0.142774 | − | 0.0382562i | ||||
\(889\) | −0.515506 | + | 0.515506i | −0.0172895 | + | 0.0172895i | ||||
\(890\) | 0.0367501 | − | 0.476253i | 0.00123187 | − | 0.0159640i | ||||
\(891\) | −1.40258 | − | 5.23449i | −0.0469881 | − | 0.175362i | ||||
\(892\) | −18.1985 | −0.609329 | ||||||||
\(893\) | 2.80186 | + | 10.4567i | 0.0937607 | + | 0.349920i | ||||
\(894\) | 8.39791 | + | 14.5456i | 0.280868 | + | 0.486478i | ||||
\(895\) | −6.33007 | − | 33.8653i | −0.211591 | − | 1.13199i | ||||
\(896\) | 0.0686422i | 0.00229318i | ||||||||
\(897\) | −6.37025 | − | 0.995720i | −0.212697 | − | 0.0332461i | ||||
\(898\) | 1.10366 | − | 1.10366i | 0.0368297 | − | 0.0368297i | ||||
\(899\) | 12.1976 | + | 3.26833i | 0.406812 | + | 0.109005i | ||||
\(900\) | 4.94081 | + | 0.767084i | 0.164694 | + | 0.0255695i | ||||
\(901\) | −22.8513 | − | 13.1932i | −0.761289 | − | 0.439530i | ||||
\(902\) | 30.8528i | 1.02729i | ||||||||
\(903\) | −0.304095 | + | 0.526708i | −0.0101197 | + | 0.0175278i | ||||
\(904\) | −19.3553 | + | 5.18622i | −0.643746 | + | 0.172491i | ||||
\(905\) | −6.92962 | + | 19.6640i | −0.230348 | + | 0.653655i | ||||
\(906\) | −0.159891 | + | 0.276939i | −0.00531202 | + | 0.00920069i | ||||
\(907\) | 35.4751 | + | 9.50552i | 1.17793 | + | 0.315626i | 0.794105 | − | 0.607780i | \(-0.207940\pi\) |
0.383825 | + | 0.923406i | \(0.374606\pi\) | |||||||
\(908\) | 13.7492 | − | 7.93810i | 0.456283 | − | 0.263435i | ||||
\(909\) | 5.48054 | 0.181778 | ||||||||
\(910\) | 0.553167 | − | 0.0164526i | 0.0183373 | − | 0.000545397i | ||||
\(911\) | 26.2387 | 0.869326 | 0.434663 | − | 0.900593i | \(-0.356867\pi\) | ||||
0.434663 | + | 0.900593i | \(0.356867\pi\) | |||||||
\(912\) | −0.988721 | + | 0.570838i | −0.0327398 | + | 0.0189024i | ||||
\(913\) | 25.8449 | + | 6.92513i | 0.855343 | + | 0.229188i | ||||
\(914\) | −4.43984 | + | 7.69003i | −0.146857 | + | 0.254364i | ||||
\(915\) | 15.6453 | − | 7.49176i | 0.517217 | − | 0.247670i | ||||
\(916\) | −8.98337 | + | 2.40709i | −0.296819 | + | 0.0795324i | ||||
\(917\) | −0.665521 | + | 1.15272i | −0.0219774 | + | 0.0380660i | ||||
\(918\) | 3.40198i | 0.112282i | ||||||||
\(919\) | −41.4582 | − | 23.9359i | −1.36758 | − | 0.789572i | −0.376961 | − | 0.926229i | \(-0.623031\pi\) |
−0.990618 | + | 0.136657i | \(0.956364\pi\) | |||||||
\(920\) | −3.29883 | − | 2.25981i | −0.108759 | − | 0.0745039i | ||||
\(921\) | 17.8919 | + | 4.79411i | 0.589557 | + | 0.157971i | ||||
\(922\) | 6.85392 | − | 6.85392i | 0.225722 | − | 0.225722i | ||||
\(923\) | 11.0136 | + | 15.0944i | 0.362515 | + | 0.496839i | ||||
\(924\) | − | 0.371982i | − | 0.0122373i | ||||||
\(925\) | 3.37874 | − | 21.7625i | 0.111092 | − | 0.715548i | ||||
\(926\) | −0.187218 | − | 0.324272i | −0.00615238 | − | 0.0106562i | ||||
\(927\) | −0.358464 | − | 1.33781i | −0.0117735 | − | 0.0439393i | ||||
\(928\) | 3.89470 | 0.127850 | ||||||||
\(929\) | 7.65813 | + | 28.5805i | 0.251255 | + | 0.937697i | 0.970136 | + | 0.242563i | \(0.0779881\pi\) |
−0.718881 | + | 0.695134i | \(0.755345\pi\) | |||||||
\(930\) | −4.71694 | − | 5.50578i | −0.154675 | − | 0.180542i | ||||
\(931\) | −5.64721 | + | 5.64721i | −0.185080 | + | 0.185080i | ||||
\(932\) | 22.7919 | − | 6.10707i | 0.746573 | − | 0.200044i | ||||
\(933\) | 0.769658 | − | 2.87240i | 0.0251975 | − | 0.0940382i | ||||
\(934\) | −10.3229 | + | 38.5254i | −0.337774 | + | 1.26059i | ||||
\(935\) | 13.7014 | − | 38.8802i | 0.448084 | − | 1.27152i | ||||
\(936\) | −3.56230 | − | 0.556815i | −0.116437 | − | 0.0182001i | ||||
\(937\) | −31.4410 | − | 31.4410i | −1.02713 | − | 1.02713i | −0.999622 | − | 0.0275105i | \(-0.991242\pi\) |
−0.0275105 | − | 0.999622i | \(-0.508758\pi\) | |||||||
\(938\) | −0.0356489 | − | 0.0617456i | −0.00116398 | − | 0.00201607i | ||||
\(939\) | −11.8749 | + | 6.85597i | −0.387523 | + | 0.223736i | ||||
\(940\) | −16.1016 | + | 13.7947i | −0.525178 | + | 0.449933i | ||||
\(941\) | 7.89735 | + | 7.89735i | 0.257446 | + | 0.257446i | 0.824015 | − | 0.566568i | \(-0.191729\pi\) |
−0.566568 | + | 0.824015i | \(0.691729\pi\) | |||||||
\(942\) | 19.6061 | + | 11.3196i | 0.638801 | + | 0.368812i | ||||
\(943\) | 8.81701 | + | 5.09050i | 0.287121 | + | 0.165770i | ||||
\(944\) | 4.02315 | + | 4.02315i | 0.130942 | + | 0.130942i | ||||
\(945\) | 0.153034 | + | 0.0118089i | 0.00497819 | + | 0.000384142i | ||||
\(946\) | −41.5824 | + | 24.0076i | −1.35196 | + | 0.780555i | ||||
\(947\) | −3.19383 | − | 5.53188i | −0.103786 | − | 0.179762i | 0.809456 | − | 0.587181i | \(-0.199762\pi\) |
−0.913241 | + | 0.407419i | \(0.866429\pi\) | |||||||
\(948\) | −8.18911 | − | 8.18911i | −0.265970 | − | 0.265970i | ||||
\(949\) | −39.8113 | + | 15.3747i | −1.29233 | + | 0.499085i | ||||
\(950\) | 0.614027 | + | 5.67526i | 0.0199217 | + | 0.184130i | ||||
\(951\) | 1.67119 | − | 6.23695i | 0.0541919 | − | 0.202247i | ||||
\(952\) | −0.0604393 | + | 0.225563i | −0.00195885 | + | 0.00731053i | ||||
\(953\) | −3.48236 | + | 0.933097i | −0.112805 | + | 0.0302260i | −0.314780 | − | 0.949165i | \(-0.601931\pi\) |
0.201975 | + | 0.979391i | \(0.435264\pi\) | |||||||
\(954\) | 5.48446 | − | 5.48446i | 0.177566 | − | 0.177566i | ||||
\(955\) | 41.1713 | − | 35.2725i | 1.33227 | − | 1.14139i | ||||
\(956\) | −5.07117 | − | 18.9259i | −0.164013 | − | 0.612107i | ||||
\(957\) | −21.1060 | −0.682258 | ||||||||
\(958\) | −8.58585 | − | 32.0428i | −0.277396 | − | 1.03526i | ||||
\(959\) | −0.412967 | − | 0.715280i | −0.0133354 | − | 0.0230976i | ||||
\(960\) | −1.84473 | − | 1.26371i | −0.0595385 | − | 0.0407860i | ||||
\(961\) | − | 20.4874i | − | 0.660883i | ||||||
\(962\) | −2.45258 | + | 15.6907i | −0.0790742 | + | 0.505888i | ||||
\(963\) | −7.65363 | + | 7.65363i | −0.246635 | + | 0.246635i | ||||
\(964\) | −4.85725 | − | 1.30150i | −0.156442 | − | 0.0419184i | ||||
\(965\) | 54.9251 | − | 10.2666i | 1.76810 | − | 0.330492i | ||||
\(966\) | −0.106304 | − | 0.0613745i | −0.00342027 | − | 0.00197469i | ||||
\(967\) | − | 35.8339i | − | 1.15234i | −0.817329 | − | 0.576171i | \(-0.804546\pi\) | ||
0.817329 | − | 0.576171i | \(-0.195454\pi\) | |||||||
\(968\) | 9.18357 | − | 15.9064i | 0.295171 | − | 0.511251i | ||||
\(969\) | −3.75162 | + | 1.00524i | −0.120519 | + | 0.0322931i | ||||
\(970\) | −29.2801 | − | 10.3183i | −0.940127 | − | 0.331301i | ||||
\(971\) | 15.2263 | − | 26.3727i | 0.488635 | − | 0.846340i | −0.511280 | − | 0.859414i | \(-0.670828\pi\) |
0.999915 | + | 0.0130742i | \(0.00416178\pi\) | |||||||
\(972\) | −0.965926 | − | 0.258819i | −0.0309821 | − | 0.00830162i | ||||
\(973\) | 0.258777 | − | 0.149405i | 0.00829599 | − | 0.00478969i | ||||
\(974\) | −16.8724 | −0.540625 | ||||||||
\(975\) | −9.74167 | + | 15.1690i | −0.311983 | + | 0.485798i | ||||
\(976\) | −7.75759 | −0.248314 | ||||||||
\(977\) | −4.39224 | + | 2.53586i | −0.140520 | + | 0.0811293i | −0.568612 | − | 0.822606i | \(-0.692519\pi\) |
0.428092 | + | 0.903735i | \(0.359186\pi\) | |||||||
\(978\) | −11.0531 | − | 2.96168i | −0.353441 | − | 0.0947041i | ||||
\(979\) | 0.578818 | − | 1.00254i | 0.0184991 | − | 0.0320414i | ||||
\(980\) | −14.7527 | − | 5.19886i | −0.471258 | − | 0.166072i | ||||
\(981\) | −11.3925 | + | 3.05261i | −0.363735 | + | 0.0974624i | ||||
\(982\) | 19.2792 | − | 33.3926i | 0.615225 | − | 1.06560i | ||||
\(983\) | 36.6196i | 1.16798i | 0.811760 | + | 0.583991i | \(0.198510\pi\) | ||||
−0.811760 | + | 0.583991i | \(0.801490\pi\) | |||||||
\(984\) | 4.93055 | + | 2.84665i | 0.157180 | + | 0.0907479i | ||||
\(985\) | 15.4613 | − | 2.89002i | 0.492639 | − | 0.0920838i | ||||
\(986\) | 12.7982 | + | 3.42928i | 0.407579 | + | 0.109210i | ||||
\(987\) | −0.460239 | + | 0.460239i | −0.0146496 | + | 0.0146496i | ||||
\(988\) | −0.438574 | − | 4.09294i | −0.0139529 | − | 0.130214i | ||||
\(989\) | 15.8444i | 0.503821i | ||||||||
\(990\) | 9.99688 | + | 6.84821i | 0.317722 | + | 0.217650i | ||||
\(991\) | −26.4267 | − | 45.7723i | −0.839470 | − | 1.45401i | −0.890338 | − | 0.455300i | \(-0.849532\pi\) |
0.0508679 | − | 0.998705i | \(-0.483801\pi\) | |||||||
\(992\) | 0.839174 | + | 3.13184i | 0.0266438 | + | 0.0994360i | ||||
\(993\) | −20.2421 | −0.642363 | ||||||||
\(994\) | 0.0920695 | + | 0.343608i | 0.00292027 | + | 0.0108986i | ||||
\(995\) | −37.6654 | + | 32.2689i | −1.19407 | + | 1.02299i | ||||
\(996\) | 3.49129 | − | 3.49129i | 0.110626 | − | 0.110626i | ||||
\(997\) | 11.7665 | − | 3.15282i | 0.372649 | − | 0.0998509i | −0.0676339 | − | 0.997710i | \(-0.521545\pi\) |
0.440282 | + | 0.897859i | \(0.354878\pi\) | |||||||
\(998\) | 4.56800 | − | 17.0480i | 0.144597 | − | 0.539645i | ||||
\(999\) | −1.14001 | + | 4.25457i | −0.0360683 | + | 0.134609i |
(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 | 390.2.bd.c.37.1 | ✓ | 32 | |
5.3 | odd | 4 | 390.2.bn.c.193.6 | yes | 32 | ||
13.6 | odd | 12 | 390.2.bn.c.97.6 | yes | 32 | ||
65.58 | even | 12 | inner | 390.2.bd.c.253.1 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.c.37.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
390.2.bd.c.253.1 | yes | 32 | 65.58 | even | 12 | inner | |
390.2.bn.c.97.6 | yes | 32 | 13.6 | odd | 12 | ||
390.2.bn.c.193.6 | yes | 32 | 5.3 | odd | 4 |