Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 515.21 | ||
Character | \(\chi\) | \(=\) | 546.515 |
Dual form | 546.2.bv.a.317.21 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | −1.51923 | + | 0.831834i | −0.877126 | + | 0.480259i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −1.98929 | − | 0.533030i | −0.889640 | − | 0.238378i | −0.215078 | − | 0.976597i | \(-0.569001\pi\) |
−0.674561 | + | 0.738219i | \(0.735667\pi\) | |||||||
\(6\) | −1.68276 | + | 0.410285i | −0.686982 | + | 0.167498i | ||||
\(7\) | −2.22758 | − | 1.42754i | −0.841947 | − | 0.539560i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 1.61610 | − | 2.52749i | 0.538702 | − | 0.842497i | ||||
\(10\) | −1.78355 | − | 1.02973i | −0.564009 | − | 0.325631i | ||||
\(11\) | 3.44459 | − | 0.922976i | 1.03858 | − | 0.278288i | 0.301058 | − | 0.953606i | \(-0.402660\pi\) |
0.737527 | + | 0.675318i | \(0.235994\pi\) | |||||||
\(12\) | −1.73161 | − | 0.0392246i | −0.499872 | − | 0.0113232i | ||||
\(13\) | −3.26173 | + | 1.53659i | −0.904642 | + | 0.426172i | ||||
\(14\) | −1.78221 | − | 1.95544i | −0.476315 | − | 0.522613i | ||||
\(15\) | 3.46558 | − | 0.844969i | 0.894810 | − | 0.218170i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 3.54630 | − | 6.14237i | 0.860104 | − | 1.48974i | −0.0117245 | − | 0.999931i | \(-0.503732\pi\) |
0.871828 | − | 0.489812i | \(-0.162935\pi\) | |||||||
\(18\) | 2.21520 | − | 2.02309i | 0.522128 | − | 0.476847i | ||||
\(19\) | 1.49254 | − | 5.57022i | 0.342411 | − | 1.27790i | −0.553197 | − | 0.833051i | \(-0.686592\pi\) |
0.895608 | − | 0.444845i | \(-0.146741\pi\) | |||||||
\(20\) | −1.45626 | − | 1.45626i | −0.325631 | − | 0.325631i | ||||
\(21\) | 4.57168 | + | 0.315779i | 0.997623 | + | 0.0689087i | ||||
\(22\) | 3.56611 | 0.760297 | ||||||||
\(23\) | −3.12969 | − | 5.42078i | −0.652585 | − | 1.13031i | −0.982493 | − | 0.186298i | \(-0.940351\pi\) |
0.329908 | − | 0.944013i | \(-0.392982\pi\) | |||||||
\(24\) | −1.66245 | − | 0.486061i | −0.339346 | − | 0.0992167i | ||||
\(25\) | −0.656955 | − | 0.379293i | −0.131391 | − | 0.0758587i | ||||
\(26\) | −3.54829 | + | 0.640028i | −0.695877 | + | 0.125520i | ||||
\(27\) | −0.352780 | + | 5.18416i | −0.0678925 | + | 0.997693i | ||||
\(28\) | −1.21537 | − | 2.35008i | −0.229684 | − | 0.444123i | ||||
\(29\) | 0.340291i | 0.0631904i | 0.999501 | + | 0.0315952i | \(0.0100587\pi\) | ||||
−0.999501 | + | 0.0315952i | \(0.989941\pi\) | |||||||
\(30\) | 3.56619 | + | 0.0807818i | 0.651094 | + | 0.0147487i | ||||
\(31\) | −8.31053 | + | 2.22680i | −1.49261 | + | 0.399945i | −0.910619 | − | 0.413247i | \(-0.864395\pi\) |
−0.581996 | + | 0.813192i | \(0.697728\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −4.46536 | + | 4.26754i | −0.777319 | + | 0.742884i | ||||
\(34\) | 5.01522 | − | 5.01522i | 0.860104 | − | 0.860104i | ||||
\(35\) | 3.67040 | + | 4.02717i | 0.620410 | + | 0.680715i | ||||
\(36\) | 2.66333 | − | 1.38082i | 0.443889 | − | 0.230136i | ||||
\(37\) | 7.50999 | + | 2.01230i | 1.23463 | + | 0.330819i | 0.816382 | − | 0.577512i | \(-0.195976\pi\) |
0.418252 | + | 0.908331i | \(0.362643\pi\) | |||||||
\(38\) | 2.88336 | − | 4.99412i | 0.467742 | − | 0.810153i | ||||
\(39\) | 3.67713 | − | 5.04764i | 0.588812 | − | 0.808270i | ||||
\(40\) | −1.02973 | − | 1.78355i | −0.162815 | − | 0.282004i | ||||
\(41\) | 5.27007 | − | 5.27007i | 0.823047 | − | 0.823047i | −0.163497 | − | 0.986544i | \(-0.552277\pi\) |
0.986544 | + | 0.163497i | \(0.0522775\pi\) | |||||||
\(42\) | 4.33418 | + | 1.48826i | 0.668778 | + | 0.229643i | ||||
\(43\) | − | 0.428508i | − | 0.0653469i | −0.999466 | − | 0.0326735i | \(-0.989598\pi\) | ||
0.999466 | − | 0.0326735i | \(-0.0104021\pi\) | |||||||
\(44\) | 3.44459 | + | 0.922976i | 0.519292 | + | 0.139144i | ||||
\(45\) | −4.56214 | + | 4.16649i | −0.680083 | + | 0.621104i | ||||
\(46\) | −1.62005 | − | 6.04610i | −0.238863 | − | 0.891448i | ||||
\(47\) | −0.403284 | + | 1.50508i | −0.0588250 | + | 0.219538i | −0.989081 | − | 0.147373i | \(-0.952918\pi\) |
0.930256 | + | 0.366911i | \(0.119585\pi\) | |||||||
\(48\) | −1.48000 | − | 0.899773i | −0.213620 | − | 0.129871i | ||||
\(49\) | 2.92426 | + | 6.35993i | 0.417751 | + | 0.908562i | ||||
\(50\) | −0.536402 | − | 0.536402i | −0.0758587 | − | 0.0758587i | ||||
\(51\) | −0.278204 | + | 12.2816i | −0.0389564 | + | 1.71977i | ||||
\(52\) | −3.59304 | − | 0.300145i | −0.498265 | − | 0.0416226i | ||||
\(53\) | −5.74215 | − | 3.31523i | −0.788745 | − | 0.455382i | 0.0507753 | − | 0.998710i | \(-0.483831\pi\) |
−0.839521 | + | 0.543328i | \(0.817164\pi\) | |||||||
\(54\) | −1.68252 | + | 4.91621i | −0.228962 | + | 0.669012i | ||||
\(55\) | −7.34429 | −0.990303 | ||||||||
\(56\) | −0.565716 | − | 2.58456i | −0.0755970 | − | 0.345377i | ||||
\(57\) | 2.36599 | + | 9.70397i | 0.313384 | + | 1.28532i | ||||
\(58\) | −0.0880738 | + | 0.328696i | −0.0115647 | + | 0.0431599i | ||||
\(59\) | −1.94912 | + | 0.522265i | −0.253754 | + | 0.0679931i | −0.383453 | − | 0.923560i | \(-0.625265\pi\) |
0.129700 | + | 0.991553i | \(0.458599\pi\) | |||||||
\(60\) | 3.42377 | + | 1.00103i | 0.442006 | + | 0.129232i | ||||
\(61\) | −0.887540 | − | 1.53726i | −0.113638 | − | 0.196827i | 0.803597 | − | 0.595174i | \(-0.202917\pi\) |
−0.917234 | + | 0.398348i | \(0.869584\pi\) | |||||||
\(62\) | −8.60369 | −1.09267 | ||||||||
\(63\) | −7.20810 | + | 3.32314i | −0.908136 | + | 0.418676i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 7.30759 | − | 1.31812i | 0.906396 | − | 0.163493i | ||||
\(66\) | −5.41773 | + | 2.96641i | −0.666876 | + | 0.365140i | ||||
\(67\) | −11.7315 | + | 3.14344i | −1.43323 | + | 0.384032i | −0.890156 | − | 0.455656i | \(-0.849405\pi\) |
−0.543070 | + | 0.839688i | \(0.682738\pi\) | |||||||
\(68\) | 6.14237 | − | 3.54630i | 0.744872 | − | 0.430052i | ||||
\(69\) | 9.26390 | + | 5.63202i | 1.11524 | + | 0.678015i | ||||
\(70\) | 2.50302 | + | 4.83991i | 0.299169 | + | 0.578480i | ||||
\(71\) | −1.49159 | + | 1.49159i | −0.177020 | + | 0.177020i | −0.790055 | − | 0.613036i | \(-0.789948\pi\) |
0.613036 | + | 0.790055i | \(0.289948\pi\) | |||||||
\(72\) | 2.92996 | − | 0.644446i | 0.345300 | − | 0.0759487i | ||||
\(73\) | −1.14879 | − | 4.28734i | −0.134455 | − | 0.501795i | −1.00000 | 0.000961865i | \(-0.999694\pi\) | |
0.865544 | − | 0.500833i | \(-0.166973\pi\) | |||||||
\(74\) | 6.73327 | + | 3.88746i | 0.782727 | + | 0.451908i | ||||
\(75\) | 1.31357 | + | 0.0297552i | 0.151678 | + | 0.00343584i | ||||
\(76\) | 4.07768 | − | 4.07768i | 0.467742 | − | 0.467742i | ||||
\(77\) | −8.99071 | − | 2.86129i | −1.02459 | − | 0.326074i | ||||
\(78\) | 4.85826 | − | 3.92394i | 0.550090 | − | 0.444298i | ||||
\(79\) | −4.48152 | − | 7.76223i | −0.504211 | − | 0.873319i | −0.999988 | − | 0.00486899i | \(-0.998450\pi\) |
0.495777 | − | 0.868450i | \(-0.334883\pi\) | |||||||
\(80\) | −0.533030 | − | 1.98929i | −0.0595945 | − | 0.222410i | ||||
\(81\) | −3.77641 | − | 8.16938i | −0.419601 | − | 0.907709i | ||||
\(82\) | 6.45449 | − | 3.72650i | 0.712779 | − | 0.411523i | ||||
\(83\) | −8.13092 | + | 8.13092i | −0.892484 | + | 0.892484i | −0.994756 | − | 0.102272i | \(-0.967389\pi\) |
0.102272 | + | 0.994756i | \(0.467389\pi\) | |||||||
\(84\) | 3.80130 | + | 2.55931i | 0.414756 | + | 0.279244i | ||||
\(85\) | −10.3287 | + | 10.3287i | −1.12030 | + | 1.12030i | ||||
\(86\) | 0.110906 | − | 0.413907i | 0.0119593 | − | 0.0446328i | ||||
\(87\) | −0.283066 | − | 0.516979i | −0.0303478 | − | 0.0554260i | ||||
\(88\) | 3.08834 | + | 1.78305i | 0.329218 | + | 0.190074i | ||||
\(89\) | −0.601969 | + | 2.24658i | −0.0638085 | + | 0.238137i | −0.990463 | − | 0.137777i | \(-0.956004\pi\) |
0.926655 | + | 0.375913i | \(0.122671\pi\) | |||||||
\(90\) | −5.48505 | + | 2.84375i | −0.578175 | + | 0.299758i | ||||
\(91\) | 9.45932 | + | 1.23338i | 0.991606 | + | 0.129294i | ||||
\(92\) | − | 6.25938i | − | 0.652585i | ||||||
\(93\) | 10.7733 | − | 10.2960i | 1.11713 | − | 1.06764i | ||||
\(94\) | −0.779084 | + | 1.34941i | −0.0803564 | + | 0.139181i | ||||
\(95\) | −5.93818 | + | 10.2852i | −0.609245 | + | 1.05524i | ||||
\(96\) | −1.19669 | − | 1.25217i | −0.122137 | − | 0.127799i | ||||
\(97\) | 11.9267 | + | 11.9267i | 1.21097 | + | 1.21097i | 0.970708 | + | 0.240261i | \(0.0772332\pi\) |
0.240261 | + | 0.970708i | \(0.422767\pi\) | |||||||
\(98\) | 1.17854 | + | 6.90007i | 0.119051 | + | 0.697013i | ||||
\(99\) | 3.23401 | − | 10.1978i | 0.325031 | − | 1.02492i | ||||
\(100\) | −0.379293 | − | 0.656955i | −0.0379293 | − | 0.0656955i | ||||
\(101\) | 9.58488 | − | 16.6015i | 0.953731 | − | 1.65191i | 0.216484 | − | 0.976286i | \(-0.430541\pi\) |
0.737246 | − | 0.675624i | \(-0.236126\pi\) | |||||||
\(102\) | −3.44743 | + | 11.7911i | −0.341347 | + | 1.16749i | ||||
\(103\) | −6.96843 | + | 4.02323i | −0.686620 | + | 0.396420i | −0.802345 | − | 0.596861i | \(-0.796414\pi\) |
0.115724 | + | 0.993281i | \(0.463081\pi\) | |||||||
\(104\) | −3.39292 | − | 1.21986i | −0.332704 | − | 0.119618i | ||||
\(105\) | −8.92610 | − | 3.06502i | −0.871098 | − | 0.299115i | ||||
\(106\) | −4.68845 | − | 4.68845i | −0.455382 | − | 0.455382i | ||||
\(107\) | −0.729345 | + | 0.421088i | −0.0705085 | + | 0.0407081i | −0.534840 | − | 0.844954i | \(-0.679628\pi\) |
0.464331 | + | 0.885662i | \(0.346295\pi\) | |||||||
\(108\) | −2.89760 | + | 4.31323i | −0.278821 | + | 0.415040i | ||||
\(109\) | 12.8052 | − | 3.43114i | 1.22651 | − | 0.328643i | 0.413293 | − | 0.910598i | \(-0.364379\pi\) |
0.813221 | + | 0.581955i | \(0.197712\pi\) | |||||||
\(110\) | −7.09404 | − | 1.90084i | −0.676390 | − | 0.181238i | ||||
\(111\) | −13.0833 | + | 3.18993i | −1.24181 | + | 0.302775i | ||||
\(112\) | 0.122494 | − | 2.64291i | 0.0115746 | − | 0.249732i | ||||
\(113\) | − | 2.28160i | − | 0.214635i | −0.994225 | − | 0.107317i | \(-0.965774\pi\) | ||
0.994225 | − | 0.107317i | \(-0.0342261\pi\) | |||||||
\(114\) | −0.226197 | + | 9.98568i | −0.0211853 | + | 0.935245i | ||||
\(115\) | 3.33644 | + | 12.4517i | 0.311124 | + | 1.16113i | ||||
\(116\) | −0.170145 | + | 0.294701i | −0.0157976 | + | 0.0273623i | ||||
\(117\) | −1.38760 | + | 10.7273i | −0.128284 | + | 0.991738i | ||||
\(118\) | −2.01788 | −0.185761 | ||||||||
\(119\) | −16.6682 | + | 8.62016i | −1.52797 | + | 0.790208i | ||||
\(120\) | 3.04802 | + | 1.85305i | 0.278245 | + | 0.169160i | ||||
\(121\) | 1.48707 | − | 0.858559i | 0.135188 | − | 0.0780508i | ||||
\(122\) | −0.459425 | − | 1.71460i | −0.0415943 | − | 0.155232i | ||||
\(123\) | −3.62261 | + | 12.3903i | −0.326640 | + | 1.11719i | ||||
\(124\) | −8.31053 | − | 2.22680i | −0.746307 | − | 0.199972i | ||||
\(125\) | 8.38603 | + | 8.38603i | 0.750069 | + | 0.750069i | ||||
\(126\) | −7.82258 | + | 1.34431i | −0.696891 | + | 0.119761i | ||||
\(127\) | − | 7.84238i | − | 0.695899i | −0.937513 | − | 0.347949i | \(-0.886878\pi\) | ||
0.937513 | − | 0.347949i | \(-0.113122\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 0.356448 | + | 0.651002i | 0.0313835 | + | 0.0573175i | ||||
\(130\) | 7.39975 | + | 0.618140i | 0.649001 | + | 0.0542144i | ||||
\(131\) | 11.9026 | − | 6.87197i | 1.03994 | − | 0.600407i | 0.120120 | − | 0.992759i | \(-0.461672\pi\) |
0.919815 | + | 0.392352i | \(0.128339\pi\) | |||||||
\(132\) | −6.00089 | + | 1.46312i | −0.522310 | + | 0.127348i | ||||
\(133\) | −11.2765 | + | 10.2775i | −0.977793 | + | 0.891170i | ||||
\(134\) | −12.1453 | −1.04919 | ||||||||
\(135\) | 3.46510 | − | 10.1248i | 0.298228 | − | 0.871403i | ||||
\(136\) | 6.85092 | − | 1.83570i | 0.587462 | − | 0.157410i | ||||
\(137\) | −11.2765 | + | 3.02154i | −0.963419 | + | 0.258147i | −0.706047 | − | 0.708165i | \(-0.749523\pi\) |
−0.257372 | + | 0.966312i | \(0.582857\pi\) | |||||||
\(138\) | 7.49057 | + | 7.83779i | 0.637639 | + | 0.667197i | ||||
\(139\) | 21.4052 | 1.81557 | 0.907784 | − | 0.419437i | \(-0.137773\pi\) | ||||
0.907784 | + | 0.419437i | \(0.137773\pi\) | |||||||
\(140\) | 1.16507 | + | 5.32283i | 0.0984668 | + | 0.449861i | ||||
\(141\) | −0.639293 | − | 2.62202i | −0.0538382 | − | 0.220814i | ||||
\(142\) | −1.82682 | + | 1.05472i | −0.153303 | + | 0.0885098i | ||||
\(143\) | −9.81712 | + | 8.30342i | −0.820949 | + | 0.694367i | ||||
\(144\) | 2.99692 | + | 0.135843i | 0.249744 | + | 0.0113203i | ||||
\(145\) | 0.181385 | − | 0.676939i | 0.0150632 | − | 0.0562167i | ||||
\(146\) | − | 4.43858i | − | 0.367339i | ||||||
\(147\) | −9.73302 | − | 7.22969i | −0.802766 | − | 0.596294i | ||||
\(148\) | 5.49769 | + | 5.49769i | 0.451908 | + | 0.451908i | ||||
\(149\) | 8.39308 | + | 2.24892i | 0.687588 | + | 0.184239i | 0.585665 | − | 0.810554i | \(-0.300834\pi\) |
0.101924 | + | 0.994792i | \(0.467500\pi\) | |||||||
\(150\) | 1.26111 | + | 0.368719i | 0.102970 | + | 0.0301058i | ||||
\(151\) | 1.18588 | + | 4.42576i | 0.0965055 | + | 0.360163i | 0.997243 | − | 0.0741996i | \(-0.0236402\pi\) |
−0.900738 | + | 0.434363i | \(0.856974\pi\) | |||||||
\(152\) | 4.99412 | − | 2.88336i | 0.405077 | − | 0.233871i | ||||
\(153\) | −9.79358 | − | 18.8899i | −0.791764 | − | 1.52716i | ||||
\(154\) | −7.94380 | − | 5.09076i | −0.640130 | − | 0.410225i | ||||
\(155\) | 17.7190 | 1.42323 | ||||||||
\(156\) | 5.70831 | − | 2.53282i | 0.457031 | − | 0.202788i | ||||
\(157\) | −0.998255 | + | 1.72903i | −0.0796694 | + | 0.137992i | −0.903107 | − | 0.429415i | \(-0.858720\pi\) |
0.823438 | + | 0.567406i | \(0.192053\pi\) | |||||||
\(158\) | −2.31981 | − | 8.65764i | −0.184554 | − | 0.688765i | ||||
\(159\) | 11.4814 | + | 0.260077i | 0.910531 | + | 0.0206255i | ||||
\(160\) | − | 2.05947i | − | 0.162815i | ||||||
\(161\) | −0.766739 | + | 16.5430i | −0.0604275 | + | 1.30377i | ||||
\(162\) | −1.53334 | − | 8.86842i | −0.120471 | − | 0.696769i | ||||
\(163\) | 16.3399 | + | 4.37826i | 1.27984 | + | 0.342932i | 0.833792 | − | 0.552078i | \(-0.186165\pi\) |
0.446046 | + | 0.895010i | \(0.352832\pi\) | |||||||
\(164\) | 7.19905 | − | 1.92898i | 0.562151 | − | 0.150628i | ||||
\(165\) | 11.1576 | − | 6.10923i | 0.868621 | − | 0.475603i | ||||
\(166\) | −9.95830 | + | 5.74943i | −0.772914 | + | 0.446242i | ||||
\(167\) | −5.20220 | − | 5.20220i | −0.402558 | − | 0.402558i | 0.476575 | − | 0.879134i | \(-0.341878\pi\) |
−0.879134 | + | 0.476575i | \(0.841878\pi\) | |||||||
\(168\) | 3.00938 | + | 3.45596i | 0.232179 | + | 0.266633i | ||||
\(169\) | 8.27781 | − | 10.0239i | 0.636755 | − | 0.771066i | ||||
\(170\) | −12.6500 | + | 7.30349i | −0.970212 | + | 0.560152i | ||||
\(171\) | −11.6666 | − | 12.7744i | −0.892165 | − | 0.976885i | ||||
\(172\) | 0.214254 | − | 0.371099i | 0.0163367 | − | 0.0282960i | ||||
\(173\) | −7.84476 | − | 13.5875i | −0.596426 | − | 1.03304i | −0.993344 | − | 0.115186i | \(-0.963254\pi\) |
0.396918 | − | 0.917854i | \(-0.370080\pi\) | |||||||
\(174\) | −0.139616 | − | 0.572627i | −0.0105843 | − | 0.0434107i | ||||
\(175\) | 0.921967 | + | 1.78274i | 0.0696941 | + | 0.134762i | ||||
\(176\) | 2.52162 | + | 2.52162i | 0.190074 | + | 0.190074i | ||||
\(177\) | 2.52672 | − | 2.41478i | 0.189920 | − | 0.181506i | ||||
\(178\) | −1.16291 | + | 2.01423i | −0.0871641 | + | 0.150973i | ||||
\(179\) | 1.69754 | − | 2.94023i | 0.126880 | − | 0.219763i | −0.795586 | − | 0.605841i | \(-0.792837\pi\) |
0.922466 | + | 0.386078i | \(0.126170\pi\) | |||||||
\(180\) | −6.03417 | + | 1.32722i | −0.449761 | + | 0.0989249i | ||||
\(181\) | 21.4107i | 1.59145i | 0.605661 | + | 0.795723i | \(0.292909\pi\) | ||||
−0.605661 | + | 0.795723i | \(0.707091\pi\) | |||||||
\(182\) | 8.81778 | + | 3.63961i | 0.653617 | + | 0.269786i | ||||
\(183\) | 2.62712 | + | 1.59717i | 0.194203 | + | 0.118066i | ||||
\(184\) | 1.62005 | − | 6.04610i | 0.119431 | − | 0.445724i | ||||
\(185\) | −13.8670 | − | 8.00610i | −1.01952 | − | 0.588620i | ||||
\(186\) | 13.0710 | − | 7.15684i | 0.958409 | − | 0.524765i | ||||
\(187\) | 6.54630 | − | 24.4311i | 0.478713 | − | 1.78658i | ||||
\(188\) | −1.10179 | + | 1.10179i | −0.0803564 | + | 0.0803564i | ||||
\(189\) | 8.18645 | − | 11.0445i | 0.595476 | − | 0.803373i | ||||
\(190\) | −8.39786 | + | 8.39786i | −0.609245 | + | 0.609245i | ||||
\(191\) | −6.36942 | + | 3.67739i | −0.460875 | + | 0.266086i | −0.712412 | − | 0.701761i | \(-0.752397\pi\) |
0.251537 | + | 0.967848i | \(0.419064\pi\) | |||||||
\(192\) | −0.831834 | − | 1.51923i | −0.0600324 | − | 0.109641i | ||||
\(193\) | 2.39902 | + | 8.95326i | 0.172685 | + | 0.644470i | 0.996934 | + | 0.0782426i | \(0.0249309\pi\) |
−0.824249 | + | 0.566227i | \(0.808402\pi\) | |||||||
\(194\) | 8.43343 | + | 14.6071i | 0.605485 | + | 1.04873i | ||||
\(195\) | −10.0054 | + | 8.08123i | −0.716505 | + | 0.578709i | ||||
\(196\) | −0.647484 | + | 6.96999i | −0.0462489 | + | 0.497856i | ||||
\(197\) | 13.6917 | − | 13.6917i | 0.975490 | − | 0.975490i | −0.0242167 | − | 0.999707i | \(-0.507709\pi\) |
0.999707 | + | 0.0242167i | \(0.00770917\pi\) | |||||||
\(198\) | 5.76320 | − | 9.01330i | 0.409573 | − | 0.640547i | ||||
\(199\) | −5.65413 | − | 3.26442i | −0.400811 | − | 0.231408i | 0.286023 | − | 0.958223i | \(-0.407667\pi\) |
−0.686834 | + | 0.726814i | \(0.741000\pi\) | |||||||
\(200\) | −0.196337 | − | 0.732739i | −0.0138831 | − | 0.0518124i | ||||
\(201\) | 15.2079 | − | 14.5342i | 1.07269 | − | 1.02516i | ||||
\(202\) | 13.5551 | − | 13.5551i | 0.953731 | − | 0.953731i | ||||
\(203\) | 0.485779 | − | 0.758027i | 0.0340950 | − | 0.0532030i | ||||
\(204\) | −6.38173 | + | 10.4971i | −0.446810 | + | 0.734941i | ||||
\(205\) | −13.2928 | + | 7.67462i | −0.928411 | + | 0.536018i | ||||
\(206\) | −7.77228 | + | 2.08258i | −0.541520 | + | 0.145100i | ||||
\(207\) | −18.7589 | − | 0.850293i | −1.30383 | − | 0.0590995i | ||||
\(208\) | −2.96159 | − | 2.05645i | −0.205349 | − | 0.142589i | ||||
\(209\) | − | 20.5647i | − | 1.42249i | ||||||
\(210\) | −7.82867 | − | 5.27083i | −0.540229 | − | 0.363722i | ||||
\(211\) | −8.69638 | −0.598683 | −0.299342 | − | 0.954146i | \(-0.596767\pi\) | ||||
−0.299342 | + | 0.954146i | \(0.596767\pi\) | |||||||
\(212\) | −3.31523 | − | 5.74215i | −0.227691 | − | 0.394373i | ||||
\(213\) | 1.02531 | − | 3.50683i | 0.0702532 | − | 0.240284i | ||||
\(214\) | −0.813479 | + | 0.217971i | −0.0556083 | + | 0.0149002i | ||||
\(215\) | −0.228408 | + | 0.852429i | −0.0155773 | + | 0.0581352i | ||||
\(216\) | −3.91521 | + | 3.41630i | −0.266396 | + | 0.232450i | ||||
\(217\) | 21.6912 | + | 6.90323i | 1.47250 | + | 0.468622i | ||||
\(218\) | 13.2569 | 0.897870 | ||||||||
\(219\) | 5.31162 | + | 5.55784i | 0.358926 | + | 0.375564i | ||||
\(220\) | −6.36034 | − | 3.67214i | −0.428814 | − | 0.247576i | ||||
\(221\) | −2.12881 | + | 25.4840i | −0.143199 | + | 1.71424i | ||||
\(222\) | −13.4631 | − | 0.304968i | −0.903583 | − | 0.0204681i | ||||
\(223\) | 2.74582 | + | 2.74582i | 0.183874 | + | 0.183874i | 0.793041 | − | 0.609168i | \(-0.208496\pi\) |
−0.609168 | + | 0.793041i | \(0.708496\pi\) | |||||||
\(224\) | 0.802357 | − | 2.52116i | 0.0536097 | − | 0.168452i | ||||
\(225\) | −2.02037 | + | 1.04747i | −0.134691 | + | 0.0698314i | ||||
\(226\) | 0.590522 | − | 2.20386i | 0.0392809 | − | 0.146598i | ||||
\(227\) | −3.90799 | − | 14.5848i | −0.259383 | − | 0.968029i | −0.965600 | − | 0.260034i | \(-0.916266\pi\) |
0.706217 | − | 0.707996i | \(-0.250400\pi\) | |||||||
\(228\) | −2.80297 | + | 9.58688i | −0.185631 | + | 0.634907i | ||||
\(229\) | 1.17491 | + | 0.314817i | 0.0776406 | + | 0.0208037i | 0.297430 | − | 0.954744i | \(-0.403870\pi\) |
−0.219790 | + | 0.975547i | \(0.570537\pi\) | |||||||
\(230\) | 12.8910i | 0.850007i | ||||||||
\(231\) | 16.0391 | − | 3.13182i | 1.05529 | − | 0.206059i | ||||
\(232\) | −0.240622 | + | 0.240622i | −0.0157976 | + | 0.0157976i | ||||
\(233\) | −3.06855 | − | 5.31488i | −0.201027 | − | 0.348189i | 0.747833 | − | 0.663887i | \(-0.231095\pi\) |
−0.948860 | + | 0.315698i | \(0.897761\pi\) | |||||||
\(234\) | −4.11674 | + | 10.0026i | −0.269120 | + | 0.653892i | ||||
\(235\) | 1.60450 | − | 2.77908i | 0.104666 | − | 0.181287i | ||||
\(236\) | −1.94912 | − | 0.522265i | −0.126877 | − | 0.0339966i | ||||
\(237\) | 13.2653 | + | 8.06471i | 0.861676 | + | 0.523859i | ||||
\(238\) | −18.3313 | + | 4.01240i | −1.18824 | + | 0.260085i | ||||
\(239\) | 2.53094 | − | 2.53094i | 0.163713 | − | 0.163713i | −0.620496 | − | 0.784209i | \(-0.713069\pi\) |
0.784209 | + | 0.620496i | \(0.213069\pi\) | |||||||
\(240\) | 2.46456 | + | 2.57880i | 0.159086 | + | 0.166461i | ||||
\(241\) | −2.81958 | − | 10.5228i | −0.181625 | − | 0.677834i | −0.995328 | − | 0.0965526i | \(-0.969218\pi\) |
0.813703 | − | 0.581281i | \(-0.197448\pi\) | |||||||
\(242\) | 1.65861 | − | 0.444423i | 0.106619 | − | 0.0285686i | ||||
\(243\) | 12.5328 | + | 9.26980i | 0.803979 | + | 0.594658i | ||||
\(244\) | − | 1.77508i | − | 0.113638i | ||||||
\(245\) | −2.42718 | − | 14.2105i | −0.155067 | − | 0.907875i | ||||
\(246\) | −6.70601 | + | 11.0305i | −0.427560 | + | 0.703277i | ||||
\(247\) | 3.69086 | + | 20.4620i | 0.234844 | + | 1.30196i | ||||
\(248\) | −7.45101 | − | 4.30184i | −0.473140 | − | 0.273167i | ||||
\(249\) | 5.58914 | − | 19.1163i | 0.354198 | − | 1.21145i | ||||
\(250\) | 5.92982 | + | 10.2707i | 0.375034 | + | 0.649579i | ||||
\(251\) | 11.3906 | 0.718967 | 0.359483 | − | 0.933151i | \(-0.382953\pi\) | ||||
0.359483 | + | 0.933151i | \(0.382953\pi\) | |||||||
\(252\) | −7.90397 | − | 0.726128i | −0.497903 | − | 0.0457418i | ||||
\(253\) | −15.7838 | − | 15.7838i | −0.992317 | − | 0.992317i | ||||
\(254\) | 2.02976 | − | 7.57516i | 0.127358 | − | 0.475308i | ||||
\(255\) | 7.09988 | − | 24.2834i | 0.444612 | − | 1.52069i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −3.02138 | − | 5.23318i | −0.188468 | − | 0.326437i | 0.756271 | − | 0.654258i | \(-0.227019\pi\) |
−0.944740 | + | 0.327821i | \(0.893686\pi\) | |||||||
\(258\) | 0.175810 | + | 0.721075i | 0.0109455 | + | 0.0448922i | ||||
\(259\) | −13.8565 | − | 15.2034i | −0.861001 | − | 0.944691i | ||||
\(260\) | 6.98762 | + | 2.51227i | 0.433354 | + | 0.155805i | ||||
\(261\) | 0.860082 | + | 0.549946i | 0.0532377 | + | 0.0340408i | ||||
\(262\) | 13.2756 | − | 3.55719i | 0.820171 | − | 0.219764i | ||||
\(263\) | 11.9684 | + | 6.90998i | 0.738006 | + | 0.426088i | 0.821344 | − | 0.570434i | \(-0.193225\pi\) |
−0.0833381 | + | 0.996521i | \(0.526558\pi\) | |||||||
\(264\) | −6.17509 | − | 0.139879i | −0.380051 | − | 0.00860896i | ||||
\(265\) | 9.65571 | + | 9.65571i | 0.593146 | + | 0.593146i | ||||
\(266\) | −13.5522 | + | 7.00871i | −0.830940 | + | 0.429732i | ||||
\(267\) | −0.954252 | − | 3.91380i | −0.0583993 | − | 0.239521i | ||||
\(268\) | −11.7315 | − | 3.14344i | −0.716613 | − | 0.192016i | ||||
\(269\) | 18.7675 | + | 10.8354i | 1.14428 | + | 0.660648i | 0.947486 | − | 0.319798i | \(-0.103615\pi\) |
0.196790 | + | 0.980446i | \(0.436948\pi\) | |||||||
\(270\) | 5.96751 | − | 8.88296i | 0.363171 | − | 0.540600i | ||||
\(271\) | −2.53065 | − | 0.678087i | −0.153726 | − | 0.0411908i | 0.181135 | − | 0.983458i | \(-0.442023\pi\) |
−0.334861 | + | 0.942267i | \(0.608690\pi\) | |||||||
\(272\) | 7.09260 | 0.430052 | ||||||||
\(273\) | −15.3968 | + | 5.99479i | −0.931859 | + | 0.362821i | ||||
\(274\) | −11.6743 | −0.705271 | ||||||||
\(275\) | −2.61302 | − | 0.700158i | −0.157571 | − | 0.0422211i | ||||
\(276\) | 5.20676 | + | 9.50942i | 0.313410 | + | 0.572400i | ||||
\(277\) | −1.39339 | − | 0.804475i | −0.0837208 | − | 0.0483362i | 0.457555 | − | 0.889181i | \(-0.348725\pi\) |
−0.541276 | + | 0.840845i | \(0.682059\pi\) | |||||||
\(278\) | 20.6759 | + | 5.54008i | 1.24006 | + | 0.332272i | ||||
\(279\) | −7.80247 | + | 24.6035i | −0.467122 | + | 1.47297i | ||||
\(280\) | −0.252273 | + | 5.44300i | −0.0150762 | + | 0.325281i | ||||
\(281\) | 7.24549 | + | 7.24549i | 0.432230 | + | 0.432230i | 0.889386 | − | 0.457156i | \(-0.151132\pi\) |
−0.457156 | + | 0.889386i | \(0.651132\pi\) | |||||||
\(282\) | 0.0611185 | − | 2.69813i | 0.00363955 | − | 0.160672i | ||||
\(283\) | −9.21099 | − | 5.31797i | −0.547537 | − | 0.316120i | 0.200591 | − | 0.979675i | \(-0.435714\pi\) |
−0.748128 | + | 0.663555i | \(0.769047\pi\) | |||||||
\(284\) | −2.03755 | + | 0.545961i | −0.120907 | + | 0.0323968i | ||||
\(285\) | 0.465846 | − | 20.5652i | 0.0275943 | − | 1.21818i | ||||
\(286\) | −11.6317 | + | 5.47963i | −0.687796 | + | 0.324017i | ||||
\(287\) | −19.2628 | + | 4.21628i | −1.13704 | + | 0.248879i | ||||
\(288\) | 2.85965 | + | 0.906875i | 0.168506 | + | 0.0534381i | ||||
\(289\) | −16.6525 | − | 28.8429i | −0.979557 | − | 1.69664i | ||||
\(290\) | 0.350409 | − | 0.606927i | 0.0205767 | − | 0.0356400i | ||||
\(291\) | −28.0403 | − | 8.19832i | −1.64375 | − | 0.480594i | ||||
\(292\) | 1.14879 | − | 4.28734i | 0.0672277 | − | 0.250897i | ||||
\(293\) | 13.4623 | + | 13.4623i | 0.786477 | + | 0.786477i | 0.980915 | − | 0.194438i | \(-0.0622882\pi\) |
−0.194438 | + | 0.980915i | \(0.562288\pi\) | |||||||
\(294\) | −7.53019 | − | 9.50243i | −0.439170 | − | 0.554193i | ||||
\(295\) | 4.15576 | 0.241957 | ||||||||
\(296\) | 3.88746 | + | 6.73327i | 0.225954 | + | 0.391363i | ||||
\(297\) | 3.56968 | + | 18.1829i | 0.207134 | + | 1.05508i | ||||
\(298\) | 7.52503 | + | 4.34458i | 0.435913 | + | 0.251675i | ||||
\(299\) | 18.5377 | + | 12.8721i | 1.07206 | + | 0.744413i | ||||
\(300\) | 1.12271 | + | 0.682556i | 0.0648197 | + | 0.0394074i | ||||
\(301\) | −0.611713 | + | 0.954538i | −0.0352586 | + | 0.0550187i | ||||
\(302\) | 4.58188i | 0.263658i | ||||||||
\(303\) | −0.751925 | + | 33.1945i | −0.0431970 | + | 1.90697i | ||||
\(304\) | 5.57022 | − | 1.49254i | 0.319474 | − | 0.0856028i | ||||
\(305\) | 0.946171 | + | 3.53116i | 0.0541776 | + | 0.202193i | ||||
\(306\) | −4.57080 | − | 20.7811i | −0.261295 | − | 1.18797i | ||||
\(307\) | −19.3297 | + | 19.3297i | −1.10320 | + | 1.10320i | −0.109180 | + | 0.994022i | \(0.534822\pi\) |
−0.994022 | + | 0.109180i | \(0.965178\pi\) | |||||||
\(308\) | −6.35554 | − | 6.97330i | −0.362140 | − | 0.397341i | ||||
\(309\) | 7.23998 | − | 11.9088i | 0.411868 | − | 0.677467i | ||||
\(310\) | 17.1153 | + | 4.58602i | 0.972082 | + | 0.260469i | ||||
\(311\) | 3.15032 | − | 5.45652i | 0.178639 | − | 0.309411i | −0.762776 | − | 0.646663i | \(-0.776164\pi\) |
0.941414 | + | 0.337252i | \(0.109497\pi\) | |||||||
\(312\) | 6.16935 | − | 0.969097i | 0.349271 | − | 0.0548643i | ||||
\(313\) | 11.4585 | + | 19.8468i | 0.647675 | + | 1.12181i | 0.983677 | + | 0.179945i | \(0.0575919\pi\) |
−0.336002 | + | 0.941861i | \(0.609075\pi\) | |||||||
\(314\) | −1.41175 | + | 1.41175i | −0.0796694 | + | 0.0796694i | ||||
\(315\) | 16.1104 | − | 2.76857i | 0.907717 | − | 0.155991i | ||||
\(316\) | − | 8.96305i | − | 0.504211i | ||||||
\(317\) | −2.54191 | − | 0.681102i | −0.142768 | − | 0.0382545i | 0.186727 | − | 0.982412i | \(-0.440212\pi\) |
−0.329495 | + | 0.944157i | \(0.606879\pi\) | |||||||
\(318\) | 11.0228 | + | 3.22281i | 0.618130 | + | 0.180726i | ||||
\(319\) | 0.314081 | + | 1.17216i | 0.0175851 | + | 0.0656286i | ||||
\(320\) | 0.533030 | − | 1.98929i | 0.0297973 | − | 0.111205i | ||||
\(321\) | 0.757766 | − | 1.24642i | 0.0422944 | − | 0.0695685i | ||||
\(322\) | −5.02226 | + | 15.7809i | −0.279879 | + | 0.879433i | ||||
\(323\) | −28.9214 | − | 28.9214i | −1.60923 | − | 1.60923i | ||||
\(324\) | 0.814222 | − | 8.96309i | 0.0452346 | − | 0.497950i | ||||
\(325\) | 2.72563 | + | 0.227686i | 0.151191 | + | 0.0126298i | ||||
\(326\) | 14.6499 | + | 8.45814i | 0.811385 | + | 0.468453i | ||||
\(327\) | −16.5998 | + | 15.8645i | −0.917973 | + | 0.877307i | ||||
\(328\) | 7.45300 | 0.411523 | ||||||||
\(329\) | 3.04690 | − | 2.77698i | 0.167981 | − | 0.153100i | ||||
\(330\) | 12.3586 | − | 3.01325i | 0.680321 | − | 0.165874i | ||||
\(331\) | −5.34427 | + | 19.9451i | −0.293748 | + | 1.09628i | 0.648459 | + | 0.761250i | \(0.275414\pi\) |
−0.942207 | + | 0.335032i | \(0.891253\pi\) | |||||||
\(332\) | −11.1070 | + | 2.97612i | −0.609578 | + | 0.163336i | ||||
\(333\) | 17.2230 | − | 15.7293i | 0.943814 | − | 0.861963i | ||||
\(334\) | −3.67851 | − | 6.37136i | −0.201279 | − | 0.348626i | ||||
\(335\) | 25.0129 | 1.36660 | ||||||||
\(336\) | 2.01237 | + | 4.11708i | 0.109784 | + | 0.224605i | ||||
\(337\) | − | 34.3237i | − | 1.86973i | −0.354999 | − | 0.934867i | \(-0.615519\pi\) | ||
0.354999 | − | 0.934867i | \(-0.384481\pi\) | |||||||
\(338\) | 10.5901 | − | 7.53985i | 0.576027 | − | 0.410114i | ||||
\(339\) | 1.89791 | + | 3.46627i | 0.103080 | + | 0.188262i | ||||
\(340\) | −14.1093 | + | 3.78057i | −0.765182 | + | 0.205030i | ||||
\(341\) | −26.5711 | + | 15.3408i | −1.43891 | + | 0.830753i | ||||
\(342\) | −7.96278 | − | 15.3587i | −0.430578 | − | 0.830502i | ||||
\(343\) | 2.56503 | − | 18.3418i | 0.138499 | − | 0.990363i | ||||
\(344\) | 0.303001 | − | 0.303001i | 0.0163367 | − | 0.0163367i | ||||
\(345\) | −15.4266 | − | 16.1417i | −0.830540 | − | 0.869039i | ||||
\(346\) | −4.06075 | − | 15.1549i | −0.218307 | − | 0.814733i | ||||
\(347\) | 11.7055 | + | 6.75818i | 0.628385 | + | 0.362798i | 0.780126 | − | 0.625622i | \(-0.215155\pi\) |
−0.151741 | + | 0.988420i | \(0.548488\pi\) | |||||||
\(348\) | 0.0133478 | − | 0.589250i | 0.000715516 | − | 0.0315871i | ||||
\(349\) | 6.08708 | − | 6.08708i | 0.325834 | − | 0.325834i | −0.525166 | − | 0.851000i | \(-0.675997\pi\) |
0.851000 | + | 0.525166i | \(0.175997\pi\) | |||||||
\(350\) | 0.429145 | + | 1.96062i | 0.0229388 | + | 0.104799i | ||||
\(351\) | −6.81523 | − | 17.4514i | −0.363770 | − | 0.931489i | ||||
\(352\) | 1.78305 | + | 3.08834i | 0.0950371 | + | 0.164609i | ||||
\(353\) | −6.18263 | − | 23.0739i | −0.329068 | − | 1.22810i | −0.910159 | − | 0.414260i | \(-0.864040\pi\) |
0.581090 | − | 0.813839i | \(-0.302626\pi\) | |||||||
\(354\) | 3.06561 | − | 1.67854i | 0.162936 | − | 0.0892133i | ||||
\(355\) | 3.76228 | − | 2.17215i | 0.199681 | − | 0.115286i | ||||
\(356\) | −1.64461 | + | 1.64461i | −0.0871641 | + | 0.0871641i | ||||
\(357\) | 18.1522 | − | 26.9611i | 0.960715 | − | 1.42693i | ||||
\(358\) | 2.40069 | − | 2.40069i | 0.126880 | − | 0.126880i | ||||
\(359\) | 1.96581 | − | 7.33651i | 0.103752 | − | 0.387206i | −0.894449 | − | 0.447170i | \(-0.852432\pi\) |
0.998201 | + | 0.0599637i | \(0.0190985\pi\) | |||||||
\(360\) | −6.17207 | − | 0.279765i | −0.325297 | − | 0.0147449i | ||||
\(361\) | −12.3452 | − | 7.12749i | −0.649746 | − | 0.375131i | ||||
\(362\) | −5.54150 | + | 20.6812i | −0.291255 | + | 1.08698i | ||||
\(363\) | −1.54502 | + | 2.54134i | −0.0810923 | + | 0.133386i | ||||
\(364\) | 7.57532 | + | 5.79780i | 0.397055 | + | 0.303887i | ||||
\(365\) | 9.14111i | 0.478468i | ||||||||
\(366\) | 2.12423 | + | 2.22270i | 0.111035 | + | 0.116182i | ||||
\(367\) | 6.10777 | − | 10.5790i | 0.318823 | − | 0.552218i | −0.661420 | − | 0.750016i | \(-0.730046\pi\) |
0.980243 | + | 0.197798i | \(0.0633791\pi\) | |||||||
\(368\) | 3.12969 | − | 5.42078i | 0.163146 | − | 0.282578i | ||||
\(369\) | −4.80306 | − | 21.8370i | −0.250037 | − | 1.13679i | ||||
\(370\) | −11.3223 | − | 11.3223i | −0.588620 | − | 0.588620i | ||||
\(371\) | 8.05850 | + | 15.5821i | 0.418376 | + | 0.808983i | ||||
\(372\) | 14.4779 | − | 3.52996i | 0.750644 | − | 0.183020i | ||||
\(373\) | 2.63091 | + | 4.55686i | 0.136223 | + | 0.235945i | 0.926064 | − | 0.377366i | \(-0.123170\pi\) |
−0.789841 | + | 0.613312i | \(0.789837\pi\) | |||||||
\(374\) | 12.6465 | − | 21.9043i | 0.653934 | − | 1.13265i | ||||
\(375\) | −19.7161 | − | 5.76450i | −1.01813 | − | 0.297678i | ||||
\(376\) | −1.34941 | + | 0.779084i | −0.0695907 | + | 0.0401782i | ||||
\(377\) | −0.522886 | − | 1.10994i | −0.0269300 | − | 0.0571647i | ||||
\(378\) | 10.7660 | − | 8.54941i | 0.553745 | − | 0.439734i | ||||
\(379\) | −10.6483 | − | 10.6483i | −0.546967 | − | 0.546967i | 0.378595 | − | 0.925562i | \(-0.376407\pi\) |
−0.925562 | + | 0.378595i | \(0.876407\pi\) | |||||||
\(380\) | −10.2852 | + | 5.93818i | −0.527622 | + | 0.304622i | ||||
\(381\) | 6.52356 | + | 11.9144i | 0.334212 | + | 0.610391i | ||||
\(382\) | −7.10416 | + | 1.90355i | −0.363481 | + | 0.0973943i | ||||
\(383\) | 15.2019 | + | 4.07334i | 0.776781 | + | 0.208138i | 0.625365 | − | 0.780332i | \(-0.284950\pi\) |
0.151416 | + | 0.988470i | \(0.451617\pi\) | |||||||
\(384\) | −0.410285 | − | 1.68276i | −0.0209373 | − | 0.0858728i | ||||
\(385\) | 16.3600 | + | 10.4843i | 0.833783 | + | 0.534328i | ||||
\(386\) | 9.26910i | 0.471785i | ||||||||
\(387\) | −1.08305 | − | 0.692515i | −0.0550546 | − | 0.0352025i | ||||
\(388\) | 4.36546 | + | 16.2921i | 0.221623 | + | 0.827108i | ||||
\(389\) | −7.87823 | + | 13.6455i | −0.399442 | + | 0.691854i | −0.993657 | − | 0.112452i | \(-0.964129\pi\) |
0.594215 | + | 0.804306i | \(0.297463\pi\) | |||||||
\(390\) | −11.7561 | + | 5.21627i | −0.595293 | + | 0.264136i | ||||
\(391\) | −44.3953 | −2.24516 | ||||||||
\(392\) | −2.42939 | + | 6.56491i | −0.122703 | + | 0.331578i | ||||
\(393\) | −12.3664 | + | 20.3411i | −0.623804 | + | 1.02607i | ||||
\(394\) | 16.7688 | − | 9.68146i | 0.844799 | − | 0.487745i | ||||
\(395\) | 4.77757 | + | 17.8301i | 0.240386 | + | 0.897132i | ||||
\(396\) | 7.89964 | − | 7.21455i | 0.396972 | − | 0.362545i | ||||
\(397\) | 9.76195 | + | 2.61571i | 0.489938 | + | 0.131279i | 0.495326 | − | 0.868707i | \(-0.335048\pi\) |
−0.00538814 | + | 0.999985i | \(0.501715\pi\) | |||||||
\(398\) | −4.61658 | − | 4.61658i | −0.231408 | − | 0.231408i | ||||
\(399\) | 8.58236 | − | 24.9940i | 0.429655 | − | 1.25126i | ||||
\(400\) | − | 0.758587i | − | 0.0379293i | ||||||
\(401\) | −8.56867 | + | 31.9787i | −0.427899 | + | 1.59694i | 0.329611 | + | 0.944117i | \(0.393082\pi\) |
−0.757510 | + | 0.652824i | \(0.773584\pi\) | |||||||
\(402\) | 18.4515 | − | 10.1029i | 0.920276 | − | 0.503885i | ||||
\(403\) | 23.6851 | − | 20.0331i | 1.17984 | − | 0.997918i | ||||
\(404\) | 16.6015 | − | 9.58488i | 0.825955 | − | 0.476865i | ||||
\(405\) | 3.15787 | + | 18.2642i | 0.156916 | + | 0.907557i | ||||
\(406\) | 0.665418 | − | 0.606469i | 0.0330242 | − | 0.0300985i | ||||
\(407\) | 27.7262 | 1.37434 | ||||||||
\(408\) | −8.88111 | + | 8.48767i | −0.439681 | + | 0.420202i | ||||
\(409\) | 21.5139 | − | 5.76463i | 1.06379 | − | 0.285042i | 0.315852 | − | 0.948808i | \(-0.397710\pi\) |
0.747940 | + | 0.663766i | \(0.231043\pi\) | |||||||
\(410\) | −14.8262 | + | 3.97267i | −0.732215 | + | 0.196196i | ||||
\(411\) | 14.6182 | − | 13.9706i | 0.721062 | − | 0.689119i | ||||
\(412\) | −8.04646 | −0.396420 | ||||||||
\(413\) | 5.08738 | + | 1.61906i | 0.250334 | + | 0.0796686i | ||||
\(414\) | −17.8996 | − | 5.67648i | −0.879718 | − | 0.278984i | ||||
\(415\) | 20.5088 | − | 11.8408i | 1.00674 | − | 0.581240i | ||||
\(416\) | −2.32843 | − | 2.75290i | −0.114160 | − | 0.134972i | ||||
\(417\) | −32.5194 | + | 17.8056i | −1.59248 | + | 0.871944i | ||||
\(418\) | 5.32254 | − | 19.8640i | 0.260334 | − | 0.971580i | ||||
\(419\) | − | 2.14134i | − | 0.104611i | −0.998631 | − | 0.0523057i | \(-0.983343\pi\) | ||
0.998631 | − | 0.0523057i | \(-0.0166570\pi\) | |||||||
\(420\) | −6.19772 | − | 7.11744i | −0.302418 | − | 0.347295i | ||||
\(421\) | −4.67526 | − | 4.67526i | −0.227858 | − | 0.227858i | 0.583939 | − | 0.811797i | \(-0.301511\pi\) |
−0.811797 | + | 0.583939i | \(0.801511\pi\) | |||||||
\(422\) | −8.40006 | − | 2.25079i | −0.408908 | − | 0.109567i | ||||
\(423\) | 3.15231 | + | 3.45165i | 0.153271 | + | 0.167825i | ||||
\(424\) | −1.71609 | − | 6.40454i | −0.0833408 | − | 0.311032i | ||||
\(425\) | −4.65952 | + | 2.69018i | −0.226020 | + | 0.130493i | ||||
\(426\) | 1.89801 | − | 3.12197i | 0.0919589 | − | 0.151260i | ||||
\(427\) | −0.217437 | + | 4.69138i | −0.0105225 | + | 0.227032i | ||||
\(428\) | −0.842175 | −0.0407081 | ||||||||
\(429\) | 8.00738 | − | 20.7810i | 0.386600 | − | 1.00332i | ||||
\(430\) | −0.441250 | + | 0.764267i | −0.0212790 | + | 0.0368562i | ||||
\(431\) | 5.81075 | + | 21.6860i | 0.279894 | + | 1.04458i | 0.952490 | + | 0.304569i | \(0.0985124\pi\) |
−0.672596 | + | 0.740009i | \(0.734821\pi\) | |||||||
\(432\) | −4.66601 | + | 2.28657i | −0.224493 | + | 0.110012i | ||||
\(433\) | − | 21.9443i | − | 1.05458i | −0.849687 | − | 0.527288i | \(-0.823209\pi\) | ||
0.849687 | − | 0.527288i | \(-0.176791\pi\) | |||||||
\(434\) | 19.1654 | + | 12.2821i | 0.919970 | + | 0.589560i | ||||
\(435\) | 0.287535 | + | 1.17931i | 0.0137863 | + | 0.0565434i | ||||
\(436\) | 12.8052 | + | 3.43114i | 0.613257 | + | 0.164322i | ||||
\(437\) | −34.8661 | + | 9.34235i | −1.66787 | + | 0.446905i | ||||
\(438\) | 3.69216 | + | 6.74321i | 0.176418 | + | 0.322203i | ||||
\(439\) | −5.76484 | + | 3.32833i | −0.275141 | + | 0.158853i | −0.631222 | − | 0.775603i | \(-0.717446\pi\) |
0.356081 | + | 0.934455i | \(0.384113\pi\) | |||||||
\(440\) | −5.19319 | − | 5.19319i | −0.247576 | − | 0.247576i | ||||
\(441\) | 20.8006 | + | 2.88729i | 0.990503 | + | 0.137490i | ||||
\(442\) | −8.65200 | + | 24.0646i | −0.411534 | + | 1.14464i | ||||
\(443\) | 12.0003 | − | 6.92836i | 0.570150 | − | 0.329176i | −0.187059 | − | 0.982349i | \(-0.559896\pi\) |
0.757209 | + | 0.653172i | \(0.226562\pi\) | |||||||
\(444\) | −12.9254 | − | 3.77908i | −0.613413 | − | 0.179347i | ||||
\(445\) | 2.39499 | − | 4.14824i | 0.113533 | − | 0.196645i | ||||
\(446\) | 1.94159 | + | 3.36293i | 0.0919369 | + | 0.159239i | ||||
\(447\) | −14.6217 | + | 3.56503i | −0.691584 | + | 0.168620i | ||||
\(448\) | 1.42754 | − | 2.22758i | 0.0674449 | − | 0.105243i | ||||
\(449\) | 0.760702 | + | 0.760702i | 0.0358998 | + | 0.0358998i | 0.724829 | − | 0.688929i | \(-0.241919\pi\) |
−0.688929 | + | 0.724829i | \(0.741919\pi\) | |||||||
\(450\) | −2.22263 | + | 0.488869i | −0.104776 | + | 0.0230455i | ||||
\(451\) | 13.2891 | − | 23.0174i | 0.625759 | − | 1.08385i | ||||
\(452\) | 1.14080 | − | 1.97592i | 0.0536587 | − | 0.0929397i | ||||
\(453\) | −5.48312 | − | 5.73728i | −0.257619 | − | 0.269561i | ||||
\(454\) | − | 15.0993i | − | 0.708647i | ||||||
\(455\) | −18.1599 | − | 7.49567i | −0.851351 | − | 0.351402i | ||||
\(456\) | −5.18873 | + | 8.53475i | −0.242985 | + | 0.399676i | ||||
\(457\) | −4.74912 | + | 17.7240i | −0.222155 | + | 0.829092i | 0.761370 | + | 0.648318i | \(0.224527\pi\) |
−0.983525 | + | 0.180775i | \(0.942140\pi\) | |||||||
\(458\) | 1.05340 | + | 0.608181i | 0.0492221 | + | 0.0284184i | ||||
\(459\) | 30.5920 | + | 20.5515i | 1.42791 | + | 0.959261i | ||||
\(460\) | −3.33644 | + | 12.4517i | −0.155562 | + | 0.580566i | ||||
\(461\) | −12.6810 | + | 12.6810i | −0.590615 | + | 0.590615i | −0.937797 | − | 0.347183i | \(-0.887138\pi\) |
0.347183 | + | 0.937797i | \(0.387138\pi\) | |||||||
\(462\) | 16.3031 | + | 1.12610i | 0.758489 | + | 0.0523910i | ||||
\(463\) | −18.1175 | + | 18.1175i | −0.841992 | + | 0.841992i | −0.989118 | − | 0.147126i | \(-0.952998\pi\) |
0.147126 | + | 0.989118i | \(0.452998\pi\) | |||||||
\(464\) | −0.294701 | + | 0.170145i | −0.0136811 | + | 0.00789881i | ||||
\(465\) | −26.9192 | + | 14.7393i | −1.24835 | + | 0.683518i | ||||
\(466\) | −1.58840 | − | 5.92797i | −0.0735810 | − | 0.274608i | ||||
\(467\) | −12.7135 | − | 22.0204i | −0.588310 | − | 1.01898i | −0.994454 | − | 0.105174i | \(-0.966460\pi\) |
0.406144 | − | 0.913809i | \(-0.366873\pi\) | |||||||
\(468\) | −6.56534 | + | 8.59630i | −0.303483 | + | 0.397364i | ||||
\(469\) | 30.6202 | + | 9.74487i | 1.41391 | + | 0.449976i | ||||
\(470\) | 2.26911 | − | 2.26911i | 0.104666 | − | 0.104666i | ||||
\(471\) | 0.0783123 | − | 3.45717i | 0.00360844 | − | 0.159298i | ||||
\(472\) | −1.74753 | − | 1.00894i | −0.0804367 | − | 0.0464402i | ||||
\(473\) | −0.395503 | − | 1.47604i | −0.0181853 | − | 0.0678683i | ||||
\(474\) | 10.7260 | + | 11.2232i | 0.492663 | + | 0.515500i | ||||
\(475\) | −3.09328 | + | 3.09328i | −0.141929 | + | 0.141929i | ||||
\(476\) | −18.7451 | − | 0.868803i | −0.859181 | − | 0.0398215i | ||||
\(477\) | −17.6591 | + | 9.15547i | −0.808557 | + | 0.419200i | ||||
\(478\) | 3.09975 | − | 1.78964i | 0.141779 | − | 0.0818564i | ||||
\(479\) | 13.3811 | − | 3.58545i | 0.611397 | − | 0.163823i | 0.0601830 | − | 0.998187i | \(-0.480832\pi\) |
0.551214 | + | 0.834364i | \(0.314165\pi\) | |||||||
\(480\) | 1.71314 | + | 3.12880i | 0.0781936 | + | 0.142810i | ||||
\(481\) | −27.5876 | + | 4.97617i | −1.25789 | + | 0.226894i | ||||
\(482\) | − | 10.8940i | − | 0.496209i | ||||||
\(483\) | −12.5962 | − | 25.7704i | −0.573146 | − | 1.17259i | ||||
\(484\) | 1.71712 | 0.0780508 | ||||||||
\(485\) | −17.3684 | − | 30.0829i | −0.788658 | − | 1.36600i | ||||
\(486\) | 9.70654 | + | 12.1977i | 0.440298 | + | 0.553297i | ||||
\(487\) | 13.6294 | − | 3.65198i | 0.617606 | − | 0.165487i | 0.0635670 | − | 0.997978i | \(-0.479752\pi\) |
0.554039 | + | 0.832490i | \(0.313086\pi\) | |||||||
\(488\) | 0.459425 | − | 1.71460i | 0.0207972 | − | 0.0776161i | ||||
\(489\) | −28.4660 | + | 6.94050i | −1.28728 | + | 0.313860i | ||||
\(490\) | 1.33347 | − | 14.3545i | 0.0602402 | − | 0.648469i | ||||
\(491\) | −33.7611 | −1.52362 | −0.761809 | − | 0.647802i | \(-0.775688\pi\) | ||||
−0.761809 | + | 0.647802i | \(0.775688\pi\) | |||||||
\(492\) | −9.33240 | + | 8.91897i | −0.420737 | + | 0.402098i | ||||
\(493\) | 2.09019 | + | 1.20677i | 0.0941375 | + | 0.0543503i | ||||
\(494\) | −1.73085 | + | 20.7200i | −0.0778747 | + | 0.932237i | ||||
\(495\) | −11.8691 | + | 18.5626i | −0.533478 | + | 0.834327i | ||||
\(496\) | −6.08373 | − | 6.08373i | −0.273167 | − | 0.273167i | ||||
\(497\) | 5.45196 | − | 1.19334i | 0.244554 | − | 0.0535286i | ||||
\(498\) | 10.3464 | − | 17.0183i | 0.463631 | − | 0.762610i | ||||
\(499\) | 2.17585 | − | 8.12039i | 0.0974045 | − | 0.363519i | −0.899968 | − | 0.435955i | \(-0.856411\pi\) |
0.997373 | + | 0.0724362i | \(0.0230774\pi\) | |||||||
\(500\) | 3.06950 | + | 11.4555i | 0.137272 | + | 0.512307i | ||||
\(501\) | 12.2307 | + | 3.57596i | 0.546427 | + | 0.159762i | ||||
\(502\) | 11.0025 | + | 2.94810i | 0.491064 | + | 0.131580i | ||||
\(503\) | − | 15.3123i | − | 0.682741i | −0.939929 | − | 0.341371i | \(-0.889109\pi\) | ||
0.939929 | − | 0.341371i | \(-0.110891\pi\) | |||||||
\(504\) | −7.44671 | − | 2.74708i | −0.331703 | − | 0.122365i | ||||
\(505\) | −27.9162 | + | 27.9162i | −1.24226 | + | 1.24226i | ||||
\(506\) | −11.1608 | − | 19.3311i | −0.496158 | − | 0.859372i | ||||
\(507\) | −4.23769 | + | 22.1143i | −0.188203 | + | 0.982130i | ||||
\(508\) | 3.92119 | − | 6.79170i | 0.173975 | − | 0.301333i | ||||
\(509\) | 38.1303 | + | 10.2170i | 1.69010 | + | 0.452860i | 0.970415 | − | 0.241444i | \(-0.0776212\pi\) |
0.719681 | + | 0.694304i | \(0.244288\pi\) | |||||||
\(510\) | 13.1430 | − | 21.6184i | 0.581980 | − | 0.957278i | ||||
\(511\) | −3.56132 | + | 11.1903i | −0.157544 | + | 0.495031i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 28.3504 | + | 9.70261i | 1.25170 | + | 0.428381i | ||||
\(514\) | −1.56398 | − | 5.83685i | −0.0689842 | − | 0.257452i | ||||
\(515\) | 16.0068 | − | 4.28900i | 0.705343 | − | 0.188996i | ||||
\(516\) | −0.0168081 | + | 0.742008i | −0.000739934 | + | 0.0326651i | ||||
\(517\) | 5.55660i | 0.244379i | ||||||||
\(518\) | −9.44943 | − | 18.2717i | −0.415184 | − | 0.802810i | ||||
\(519\) | 23.2205 | + | 14.1170i | 1.01927 | + | 0.619668i | ||||
\(520\) | 6.09930 | + | 4.23520i | 0.267472 | + | 0.185726i | ||||
\(521\) | 4.76089 | + | 2.74870i | 0.208579 | + | 0.120423i | 0.600651 | − | 0.799512i | \(-0.294908\pi\) |
−0.392072 | + | 0.919935i | \(0.628242\pi\) | |||||||
\(522\) | 0.688439 | + | 0.753813i | 0.0301322 | + | 0.0329935i | ||||
\(523\) | 19.2984 | + | 33.4258i | 0.843860 | + | 1.46161i | 0.886607 | + | 0.462523i | \(0.153056\pi\) |
−0.0427471 | + | 0.999086i | \(0.513611\pi\) | |||||||
\(524\) | 13.7439 | 0.600407 | ||||||||
\(525\) | −2.88362 | − | 1.94146i | −0.125851 | − | 0.0847324i | ||||
\(526\) | 9.77219 | + | 9.77219i | 0.426088 | + | 0.426088i | ||||
\(527\) | −15.7938 | + | 58.9432i | −0.687988 | + | 2.56761i | ||||
\(528\) | −5.92848 | − | 1.73334i | −0.258004 | − | 0.0754341i | ||||
\(529\) | −8.08992 | + | 14.0121i | −0.351736 | + | 0.609224i | ||||
\(530\) | 6.82762 | + | 11.8258i | 0.296573 | + | 0.513679i | ||||
\(531\) | −1.82996 | + | 5.77042i | −0.0794136 | + | 0.250415i | ||||
\(532\) | −14.9044 | + | 3.26232i | −0.646189 | + | 0.141440i | ||||
\(533\) | −9.09165 | + | 25.2875i | −0.393803 | + | 1.09532i | ||||
\(534\) | 0.0912296 | − | 4.02742i | 0.00394789 | − | 0.174283i | ||||
\(535\) | 1.67533 | − | 0.448905i | 0.0724310 | − | 0.0194078i | ||||
\(536\) | −10.5181 | − | 6.07265i | −0.454314 | − | 0.262299i | ||||
\(537\) | −0.133171 | + | 5.87895i | −0.00574674 | + | 0.253695i | ||||
\(538\) | 15.3236 | + | 15.3236i | 0.660648 | + | 0.660648i | ||||
\(539\) | 15.9429 | + | 19.2084i | 0.686711 | + | 0.827363i | ||||
\(540\) | 8.06325 | − | 7.03577i | 0.346987 | − | 0.302771i | ||||
\(541\) | −29.9159 | − | 8.01593i | −1.28618 | − | 0.344632i | −0.449973 | − | 0.893042i | \(-0.648567\pi\) |
−0.836209 | + | 0.548410i | \(0.815233\pi\) | |||||||
\(542\) | −2.26892 | − | 1.30996i | −0.0974586 | − | 0.0562677i | ||||
\(543\) | −17.8102 | − | 32.5278i | −0.764307 | − | 1.39590i | ||||
\(544\) | 6.85092 | + | 1.83570i | 0.293731 | + | 0.0787049i | ||||
\(545\) | −27.3022 | −1.16950 | ||||||||
\(546\) | −16.4238 | + | 1.80553i | −0.702872 | + | 0.0772696i | ||||
\(547\) | 31.8987 | 1.36389 | 0.681944 | − | 0.731404i | \(-0.261135\pi\) | ||||
0.681944 | + | 0.731404i | \(0.261135\pi\) | |||||||
\(548\) | −11.2765 | − | 3.02154i | −0.481709 | − | 0.129074i | ||||
\(549\) | −5.31978 | − | 0.241132i | −0.227043 | − | 0.0102913i | ||||
\(550\) | −2.34277 | − | 1.35260i | −0.0998962 | − | 0.0576751i | ||||
\(551\) | 1.89549 | + | 0.507896i | 0.0807508 | + | 0.0216371i | ||||
\(552\) | 2.56813 | + | 10.5330i | 0.109307 | + | 0.448315i | ||||
\(553\) | −1.09792 | + | 23.6886i | −0.0466884 | + | 1.00734i | ||||
\(554\) | −1.13770 | − | 1.13770i | −0.0483362 | − | 0.0483362i | ||||
\(555\) | 27.7268 | + | 0.628071i | 1.17694 | + | 0.0266602i | ||||
\(556\) | 18.5375 | + | 10.7026i | 0.786164 | + | 0.453892i | ||||
\(557\) | −25.1839 | + | 6.74800i | −1.06708 | + | 0.285922i | −0.749291 | − | 0.662241i | \(-0.769605\pi\) |
−0.317784 | + | 0.948163i | \(0.602939\pi\) | |||||||
\(558\) | −13.9045 | + | 21.7457i | −0.588623 | + | 0.920570i | ||||
\(559\) | 0.658440 | + | 1.39768i | 0.0278490 | + | 0.0591156i | ||||
\(560\) | −1.65243 | + | 5.19224i | −0.0698279 | + | 0.219412i | ||||
\(561\) | 10.3773 | + | 42.5619i | 0.438131 | + | 1.79696i | ||||
\(562\) | 5.12334 | + | 8.87388i | 0.216115 | + | 0.374322i | ||||
\(563\) | −16.1891 | + | 28.0403i | −0.682289 | + | 1.18176i | 0.291991 | + | 0.956421i | \(0.405682\pi\) |
−0.974281 | + | 0.225339i | \(0.927651\pi\) | |||||||
\(564\) | 0.757365 | − | 2.59038i | 0.0318908 | − | 0.109075i | ||||
\(565\) | −1.21616 | + | 4.53878i | −0.0511643 | + | 0.190948i | ||||
\(566\) | −7.52074 | − | 7.52074i | −0.316120 | − | 0.316120i | ||||
\(567\) | −3.24985 | + | 23.5889i | −0.136481 | + | 0.990643i | ||||
\(568\) | −2.10943 | −0.0885098 | ||||||||
\(569\) | −7.24779 | − | 12.5535i | −0.303843 | − | 0.526272i | 0.673160 | − | 0.739497i | \(-0.264937\pi\) |
−0.977003 | + | 0.213225i | \(0.931603\pi\) | |||||||
\(570\) | 5.77264 | − | 19.7439i | 0.241789 | − | 0.826980i | ||||
\(571\) | 15.0070 | + | 8.66430i | 0.628024 | + | 0.362590i | 0.779986 | − | 0.625797i | \(-0.215226\pi\) |
−0.151963 | + | 0.988386i | \(0.548559\pi\) | |||||||
\(572\) | −12.6536 | + | 2.28241i | −0.529073 | + | 0.0954323i | ||||
\(573\) | 6.61762 | − | 10.8851i | 0.276455 | − | 0.454731i | ||||
\(574\) | −19.6976 | − | 0.912951i | −0.822164 | − | 0.0381059i | ||||
\(575\) | 4.74828i | 0.198017i | ||||||||
\(576\) | 2.52749 | + | 1.61610i | 0.105312 | + | 0.0673377i | ||||
\(577\) | −44.5096 | + | 11.9263i | −1.85296 | + | 0.496498i | −0.999688 | − | 0.0249728i | \(-0.992050\pi\) |
−0.853269 | + | 0.521471i | \(0.825383\pi\) | |||||||
\(578\) | −8.61995 | − | 32.1701i | −0.358543 | − | 1.33810i | ||||
\(579\) | −11.0923 | − | 11.6065i | −0.460980 | − | 0.482348i | ||||
\(580\) | 0.495554 | − | 0.495554i | 0.0205767 | − | 0.0205767i | ||||
\(581\) | 29.7195 | − | 6.50509i | 1.23297 | − | 0.269876i | ||||
\(582\) | −24.9630 | − | 15.1763i | −1.03475 | − | 0.629079i | ||||
\(583\) | −22.8393 | − | 6.11976i | −0.945906 | − | 0.253455i | ||||
\(584\) | 2.21929 | − | 3.84392i | 0.0918348 | − | 0.159063i | ||||
\(585\) | 8.47831 | − | 20.6001i | 0.350535 | − | 0.851709i | ||||
\(586\) | 9.51930 | + | 16.4879i | 0.393239 | + | 0.681109i | ||||
\(587\) | 18.9172 | − | 18.9172i | 0.780798 | − | 0.780798i | −0.199168 | − | 0.979965i | \(-0.563824\pi\) |
0.979965 | + | 0.199168i | \(0.0638239\pi\) | |||||||
\(588\) | −4.81420 | − | 11.1276i | −0.198534 | − | 0.458895i | ||||
\(589\) | 49.6150i | 2.04435i | ||||||||
\(590\) | 4.01415 | + | 1.07559i | 0.165260 | + | 0.0442813i | ||||
\(591\) | −9.41156 | + | 32.1899i | −0.387140 | + | 1.32412i | ||||
\(592\) | 2.01230 | + | 7.50999i | 0.0827048 | + | 0.308659i | ||||
\(593\) | −3.72678 | + | 13.9085i | −0.153041 | + | 0.571156i | 0.846224 | + | 0.532827i | \(0.178870\pi\) |
−0.999265 | + | 0.0383291i | \(0.987796\pi\) | |||||||
\(594\) | −1.25805 | + | 18.4873i | −0.0516184 | + | 0.758542i | ||||
\(595\) | 37.7527 | − | 8.26340i | 1.54771 | − | 0.338767i | ||||
\(596\) | 6.14416 | + | 6.14416i | 0.251675 | + | 0.251675i | ||||
\(597\) | 11.3054 | + | 0.256091i | 0.462698 | + | 0.0104811i | ||||
\(598\) | 14.5745 | + | 17.2314i | 0.595996 | + | 0.704645i | ||||
\(599\) | −21.9183 | − | 12.6546i | −0.895559 | − | 0.517051i | −0.0198021 | − | 0.999804i | \(-0.506304\pi\) |
−0.875757 | + | 0.482753i | \(0.839637\pi\) | |||||||
\(600\) | 0.907797 | + | 0.949877i | 0.0370607 | + | 0.0387786i | ||||
\(601\) | 7.33163 | 0.299063 | 0.149532 | − | 0.988757i | \(-0.452223\pi\) | ||||
0.149532 | + | 0.988757i | \(0.452223\pi\) | |||||||
\(602\) | −0.837922 | + | 0.763690i | −0.0341512 | + | 0.0311257i | ||||
\(603\) | −11.0143 | + | 34.7313i | −0.448536 | + | 1.41437i | ||||
\(604\) | −1.18588 | + | 4.42576i | −0.0482527 | + | 0.180082i | ||||
\(605\) | −3.41585 | + | 0.915275i | −0.138874 | + | 0.0372112i | ||||
\(606\) | −9.31766 | + | 31.8688i | −0.378504 | + | 1.29458i | ||||
\(607\) | −10.8473 | − | 18.7881i | −0.440279 | − | 0.762585i | 0.557431 | − | 0.830223i | \(-0.311787\pi\) |
−0.997710 | + | 0.0676378i | \(0.978454\pi\) | |||||||
\(608\) | 5.76671 | 0.233871 | ||||||||
\(609\) | −0.107457 | + | 1.55570i | −0.00435437 | + | 0.0630402i | ||||
\(610\) | 3.65572i | 0.148016i | ||||||||
\(611\) | −0.997272 | − | 5.52883i | −0.0403453 | − | 0.223673i | ||||
\(612\) | 0.963480 | − | 21.2560i | 0.0389464 | − | 0.859221i | ||||
\(613\) | −23.3751 | + | 6.26334i | −0.944111 | + | 0.252974i | −0.697862 | − | 0.716233i | \(-0.745865\pi\) |
−0.246250 | + | 0.969206i | \(0.579198\pi\) | |||||||
\(614\) | −23.6739 | + | 13.6681i | −0.955401 | + | 0.551601i | ||||
\(615\) | 13.8108 | − | 22.7169i | 0.556906 | − | 0.916034i | ||||
\(616\) | −4.33415 | − | 8.38063i | −0.174628 | − | 0.337665i | ||||
\(617\) | −25.9111 | + | 25.9111i | −1.04314 | + | 1.04314i | −0.0441149 | + | 0.999026i | \(0.514047\pi\) |
−0.999026 | + | 0.0441149i | \(0.985953\pi\) | |||||||
\(618\) | 10.0755 | − | 9.62915i | 0.405296 | − | 0.387341i | ||||
\(619\) | 8.48353 | + | 31.6610i | 0.340982 | + | 1.27256i | 0.897237 | + | 0.441550i | \(0.145571\pi\) |
−0.556255 | + | 0.831012i | \(0.687762\pi\) | |||||||
\(620\) | 15.3451 | + | 8.85952i | 0.616275 | + | 0.355807i | ||||
\(621\) | 29.2063 | − | 14.3125i | 1.17201 | − | 0.574340i | ||||
\(622\) | 4.45523 | − | 4.45523i | 0.178639 | − | 0.178639i | ||||
\(623\) | 4.54801 | − | 4.14510i | 0.182212 | − | 0.166070i | ||||
\(624\) | 6.20995 | + | 0.660669i | 0.248597 | + | 0.0264479i | ||||
\(625\) | −10.3158 | − | 17.8675i | −0.412632 | − | 0.714700i | ||||
\(626\) | 5.93138 | + | 22.1362i | 0.237066 | + | 0.884741i | ||||
\(627\) | 17.1064 | + | 31.2425i | 0.683165 | + | 1.24770i | ||||
\(628\) | −1.72903 | + | 0.998255i | −0.0689958 | + | 0.0398347i | ||||
\(629\) | 38.9929 | − | 38.9929i | 1.55475 | − | 1.55475i | ||||
\(630\) | 16.2780 | + | 1.49544i | 0.648530 | + | 0.0595797i | ||||
\(631\) | 28.5560 | − | 28.5560i | 1.13680 | − | 1.13680i | 0.147776 | − | 0.989021i | \(-0.452788\pi\) |
0.989021 | − | 0.147776i | \(-0.0472116\pi\) | |||||||
\(632\) | 2.31981 | − | 8.65764i | 0.0922770 | − | 0.344382i | ||||
\(633\) | 13.2118 | − | 7.23394i | 0.525121 | − | 0.287523i | ||||
\(634\) | −2.27901 | − | 1.31579i | −0.0905111 | − | 0.0522566i | ||||
\(635\) | −4.18022 | + | 15.6008i | −0.165887 | + | 0.619099i | ||||
\(636\) | 9.81311 | + | 5.96591i | 0.389115 | + | 0.236564i | ||||
\(637\) | −19.3107 | − | 16.2510i | −0.765119 | − | 0.643889i | ||||
\(638\) | 1.21351i | 0.0480435i | ||||||||
\(639\) | 1.35942 | + | 6.18056i | 0.0537777 | + | 0.244499i | ||||
\(640\) | 1.02973 | − | 1.78355i | 0.0407038 | − | 0.0705011i | ||||
\(641\) | 18.5105 | − | 32.0611i | 0.731121 | − | 1.26634i | −0.225284 | − | 0.974293i | \(-0.572331\pi\) |
0.956405 | − | 0.292045i | \(-0.0943357\pi\) | |||||||
\(642\) | 1.05454 | − | 1.00783i | 0.0416195 | − | 0.0397757i | ||||
\(643\) | −19.7152 | − | 19.7152i | −0.777493 | − | 0.777493i | 0.201911 | − | 0.979404i | \(-0.435285\pi\) |
−0.979404 | + | 0.201911i | \(0.935285\pi\) | |||||||
\(644\) | −8.93552 | + | 13.9433i | −0.352109 | + | 0.549443i | ||||
\(645\) | −0.362076 | − | 1.48503i | −0.0142567 | − | 0.0584731i | ||||
\(646\) | −20.4505 | − | 35.4213i | −0.804614 | − | 1.39363i | ||||
\(647\) | 11.4313 | − | 19.7996i | 0.449412 | − | 0.778404i | −0.548936 | − | 0.835864i | \(-0.684967\pi\) |
0.998348 | + | 0.0574606i | \(0.0183004\pi\) | |||||||
\(648\) | 3.10630 | − | 8.44695i | 0.122027 | − | 0.331827i | ||||
\(649\) | −6.23189 | + | 3.59798i | −0.244623 | + | 0.141233i | ||||
\(650\) | 2.57383 | + | 0.925373i | 0.100954 | + | 0.0362961i | ||||
\(651\) | −38.6963 | + | 7.55592i | −1.51663 | + | 0.296140i | ||||
\(652\) | 11.9616 | + | 11.9616i | 0.468453 | + | 0.468453i | ||||
\(653\) | −17.2294 | + | 9.94739i | −0.674238 | + | 0.389271i | −0.797680 | − | 0.603080i | \(-0.793940\pi\) |
0.123443 | + | 0.992352i | \(0.460606\pi\) | |||||||
\(654\) | −20.1402 | + | 11.0275i | −0.787546 | + | 0.431211i | ||||
\(655\) | −27.3408 | + | 7.32593i | −1.06829 | + | 0.286248i | ||||
\(656\) | 7.19905 | + | 1.92898i | 0.281076 | + | 0.0753140i | ||||
\(657\) | −12.6928 | − | 4.02523i | −0.495192 | − | 0.157039i | ||||
\(658\) | 3.66182 | − | 1.89376i | 0.142753 | − | 0.0738263i | ||||
\(659\) | − | 26.2057i | − | 1.02083i | −0.859929 | − | 0.510414i | \(-0.829492\pi\) | ||
0.859929 | − | 0.510414i | \(-0.170508\pi\) | |||||||
\(660\) | 12.7174 | + | 0.288077i | 0.495025 | + | 0.0112134i | ||||
\(661\) | 4.35027 | + | 16.2354i | 0.169206 | + | 0.631485i | 0.997466 | + | 0.0711414i | \(0.0226642\pi\) |
−0.828260 | + | 0.560343i | \(0.810669\pi\) | |||||||
\(662\) | −10.3243 | + | 17.8823i | −0.401267 | + | 0.695015i | ||||
\(663\) | −17.9643 | − | 40.4867i | −0.697675 | − | 1.57238i | ||||
\(664\) | −11.4989 | −0.446242 | ||||||||
\(665\) | 27.9104 | − | 14.4342i | 1.08232 | − | 0.559735i | ||||
\(666\) | 20.7072 | − | 10.7357i | 0.802387 | − | 0.416001i | ||||
\(667\) | 1.84464 | − | 1.06501i | 0.0714249 | − | 0.0412372i | ||||
\(668\) | −1.90414 | − | 7.10633i | −0.0736732 | − | 0.274952i | ||||
\(669\) | −6.45560 | − | 1.88746i | −0.249588 | − | 0.0729734i | ||||
\(670\) | 24.1606 | + | 6.47381i | 0.933405 | + | 0.250105i | ||||
\(671\) | −4.47607 | − | 4.47607i | −0.172797 | − | 0.172797i | ||||
\(672\) | 0.878219 | + | 4.49764i | 0.0338780 | + | 0.173500i | ||||
\(673\) | − | 22.4111i | − | 0.863885i | −0.901901 | − | 0.431942i | \(-0.857828\pi\) | ||
0.901901 | − | 0.431942i | \(-0.142172\pi\) | |||||||
\(674\) | 8.88364 | − | 33.1542i | 0.342185 | − | 1.27705i | ||||
\(675\) | 2.19808 | − | 3.27196i | 0.0846041 | − | 0.125938i | ||||
\(676\) | 12.1807 | − | 4.54201i | 0.468490 | − | 0.174693i | ||||
\(677\) | 37.5970 | − | 21.7066i | 1.44497 | − | 0.834253i | 0.446793 | − | 0.894637i | \(-0.352566\pi\) |
0.998175 | + | 0.0603842i | \(0.0192326\pi\) | |||||||
\(678\) | 0.936106 | + | 3.83938i | 0.0359509 | + | 0.147450i | ||||
\(679\) | −9.54185 | − | 43.5934i | −0.366183 | − | 1.67296i | ||||
\(680\) | −14.6070 | −0.560152 | ||||||||
\(681\) | 18.0693 | + | 18.9069i | 0.692417 | + | 0.724513i | ||||
\(682\) | −29.6362 | + | 7.94100i | −1.13483 | + | 0.304077i | ||||
\(683\) | 22.7552 | − | 6.09725i | 0.870705 | − | 0.233305i | 0.204312 | − | 0.978906i | \(-0.434504\pi\) |
0.666392 | + | 0.745601i | \(0.267838\pi\) | |||||||
\(684\) | −3.71634 | − | 16.8963i | −0.142098 | − | 0.646045i | ||||
\(685\) | 24.0429 | 0.918632 | ||||||||
\(686\) | 7.22483 | − | 17.0529i | 0.275845 | − | 0.651083i | ||||
\(687\) | −2.04684 | + | 0.499055i | −0.0780918 | + | 0.0190401i | ||||
\(688\) | 0.371099 | − | 0.214254i | 0.0141480 | − | 0.00816836i | ||||
\(689\) | 23.8235 | + | 1.99010i | 0.907604 | + | 0.0758169i | ||||
\(690\) | −10.7232 | − | 19.5844i | −0.408224 | − | 0.745564i | ||||
\(691\) | −0.745645 | + | 2.78278i | −0.0283657 | + | 0.105862i | −0.978657 | − | 0.205499i | \(-0.934118\pi\) |
0.950292 | + | 0.311361i | \(0.100785\pi\) | |||||||
\(692\) | − | 15.6895i | − | 0.596426i | ||||||
\(693\) | −21.7618 | + | 18.0998i | −0.826663 | + | 0.687554i | ||||
\(694\) | 9.55751 | + | 9.55751i | 0.362798 | + | 0.362798i | ||||
\(695\) | −42.5813 | − | 11.4096i | −1.61520 | − | 0.432792i | ||||
\(696\) | 0.165402 | − | 0.565717i | 0.00626955 | − | 0.0214435i | ||||
\(697\) | −13.6815 | − | 51.0599i | −0.518223 | − | 1.93403i | ||||
\(698\) | 7.45512 | − | 4.30422i | 0.282181 | − | 0.162917i | ||||
\(699\) | 9.08291 | + | 5.52199i | 0.343547 | + | 0.208861i | ||||
\(700\) | −0.0929227 | + | 2.00488i | −0.00351215 | + | 0.0757773i | ||||
\(701\) | 26.3344 | 0.994636 | 0.497318 | − | 0.867568i | \(-0.334318\pi\) | ||||
0.497318 | + | 0.867568i | \(0.334318\pi\) | |||||||
\(702\) | −2.06625 | − | 18.6207i | −0.0779855 | − | 0.702793i | ||||
\(703\) | 22.4178 | − | 38.8289i | 0.845505 | − | 1.46446i | ||||
\(704\) | 0.922976 | + | 3.44459i | 0.0347860 | + | 0.129823i | ||||
\(705\) | −0.125872 | + | 5.55673i | −0.00474060 | + | 0.209278i | ||||
\(706\) | − | 23.8878i | − | 0.899031i | ||||||
\(707\) | −45.0504 | + | 23.2984i | −1.69429 | + | 0.876227i | ||||
\(708\) | 3.39559 | − | 0.827904i | 0.127614 | − | 0.0311145i | ||||
\(709\) | −18.1689 | − | 4.86834i | −0.682347 | − | 0.182834i | −0.0990370 | − | 0.995084i | \(-0.531576\pi\) |
−0.583310 | + | 0.812249i | \(0.698243\pi\) | |||||||
\(710\) | 4.19628 | − | 1.12439i | 0.157484 | − | 0.0421976i | ||||
\(711\) | −26.8616 | − | 1.21757i | −1.00739 | − | 0.0456624i | ||||
\(712\) | −2.01423 | + | 1.16291i | −0.0754863 | + | 0.0435820i | ||||
\(713\) | 38.0804 | + | 38.0804i | 1.42612 | + | 1.42612i | ||||
\(714\) | 24.5117 | − | 21.3443i | 0.917328 | − | 0.798791i | ||||
\(715\) | 23.9551 | − | 11.2851i | 0.895870 | − | 0.422040i | ||||
\(716\) | 2.94023 | − | 1.69754i | 0.109882 | − | 0.0634401i | ||||
\(717\) | −1.73975 | + | 5.95039i | −0.0649722 | + | 0.222221i | ||||
\(718\) | 3.79766 | − | 6.57774i | 0.141727 | − | 0.245479i | ||||
\(719\) | −10.3763 | − | 17.9723i | −0.386971 | − | 0.670253i | 0.605070 | − | 0.796172i | \(-0.293145\pi\) |
−0.992040 | + | 0.125920i | \(0.959812\pi\) | |||||||
\(720\) | −5.88935 | − | 1.86768i | −0.219483 | − | 0.0696044i | ||||
\(721\) | 21.2661 | + | 0.985646i | 0.791991 | + | 0.0367074i | ||||
\(722\) | −10.0798 | − | 10.0798i | −0.375131 | − | 0.375131i | ||||
\(723\) | 13.0368 | + | 13.6411i | 0.484844 | + | 0.507319i | ||||
\(724\) | −10.7054 | + | 18.5422i | −0.397862 | + | 0.689116i | ||||
\(725\) | 0.129070 | − | 0.223556i | 0.00479354 | − | 0.00830266i | ||||
\(726\) | −2.15012 | + | 2.05487i | −0.0797983 | + | 0.0762632i | ||||
\(727\) | − | 0.874759i | − | 0.0324430i | −0.999868 | − | 0.0162215i | \(-0.994836\pi\) | ||
0.999868 | − | 0.0162215i | \(-0.00516369\pi\) | |||||||
\(728\) | 5.81662 | + | 7.56088i | 0.215578 | + | 0.280225i | ||||
\(729\) | −26.7511 | − | 3.65774i | −0.990781 | − | 0.135472i | ||||
\(730\) | −2.36589 | + | 8.82963i | −0.0875656 | + | 0.326799i | ||||
\(731\) | −2.63206 | − | 1.51962i | −0.0973501 | − | 0.0562051i | ||||
\(732\) | 1.47657 | + | 2.69675i | 0.0545757 | + | 0.0996748i | ||||
\(733\) | 6.74247 | − | 25.1633i | 0.249039 | − | 0.929426i | −0.722271 | − | 0.691610i | \(-0.756902\pi\) |
0.971310 | − | 0.237816i | \(-0.0764315\pi\) | |||||||
\(734\) | 8.63769 | − | 8.63769i | 0.318823 | − | 0.318823i | ||||
\(735\) | 15.5082 | + | 19.5700i | 0.572029 | + | 0.721849i | ||||
\(736\) | 4.42605 | − | 4.42605i | 0.163146 | − | 0.163146i | ||||
\(737\) | −37.5088 | + | 21.6557i | −1.38165 | + | 0.797699i | ||||
\(738\) | 1.01244 | − | 22.3361i | 0.0372684 | − | 0.822202i | ||||
\(739\) | −1.26454 | − | 4.71934i | −0.0465169 | − | 0.173604i | 0.938759 | − | 0.344574i | \(-0.111977\pi\) |
−0.985276 | + | 0.170970i | \(0.945310\pi\) | |||||||
\(740\) | −8.00610 | − | 13.8670i | −0.294310 | − | 0.509760i | ||||
\(741\) | −22.6282 | − | 28.0162i | −0.831268 | − | 1.02920i | ||||
\(742\) | 3.75096 | + | 17.1369i | 0.137702 | + | 0.629114i | ||||
\(743\) | 1.07143 | − | 1.07143i | 0.0393071 | − | 0.0393071i | −0.687180 | − | 0.726487i | \(-0.741152\pi\) |
0.726487 | + | 0.687180i | \(0.241152\pi\) | |||||||
\(744\) | 14.8982 | + | 0.337476i | 0.546195 | + | 0.0123725i | ||||
\(745\) | −15.4976 | − | 8.94753i | −0.567787 | − | 0.327812i | ||||
\(746\) | 1.36186 | + | 5.08252i | 0.0498611 | + | 0.186084i | ||||
\(747\) | 7.41039 | + | 33.6912i | 0.271132 | + | 1.23270i | ||||
\(748\) | 17.8848 | − | 17.8848i | 0.653934 | − | 0.653934i | ||||
\(749\) | 2.22580 | + | 0.103162i | 0.0813288 | + | 0.00376945i | ||||
\(750\) | −17.5523 | − | 10.6710i | −0.640919 | − | 0.389649i | ||||
\(751\) | −11.9427 | + | 6.89510i | −0.435794 | + | 0.251606i | −0.701812 | − | 0.712362i | \(-0.747625\pi\) |
0.266018 | + | 0.963968i | \(0.414292\pi\) | |||||||
\(752\) | −1.50508 | + | 0.403284i | −0.0548844 | + | 0.0147062i | ||||
\(753\) | −17.3049 | + | 9.47507i | −0.630625 | + | 0.345291i | ||||
\(754\) | −0.217796 | − | 1.20745i | −0.00793166 | − | 0.0439728i | ||||
\(755\) | − | 9.43625i | − | 0.343420i | ||||||
\(756\) | 12.6119 | − | 5.47164i | 0.458692 | − | 0.199001i | ||||
\(757\) | 19.3286 | 0.702509 | 0.351254 | − | 0.936280i | \(-0.385755\pi\) | ||||
0.351254 | + | 0.936280i | \(0.385755\pi\) | |||||||
\(758\) | −7.52949 | − | 13.0415i | −0.273484 | − | 0.473687i | ||||
\(759\) | 37.1086 | + | 10.8497i | 1.34696 | + | 0.393818i | ||||
\(760\) | −11.4717 | + | 3.07383i | −0.416122 | + | 0.111500i | ||||
\(761\) | 5.56192 | − | 20.7574i | 0.201620 | − | 0.752455i | −0.788834 | − | 0.614607i | \(-0.789315\pi\) |
0.990453 | − | 0.137848i | \(-0.0440186\pi\) | |||||||
\(762\) | 3.21761 | + | 13.1968i | 0.116562 | + | 0.478070i | ||||
\(763\) | −33.4227 | − | 10.6368i | −1.20998 | − | 0.385077i | ||||
\(764\) | −7.35477 | −0.266086 | ||||||||
\(765\) | 9.41342 | + | 42.7979i | 0.340343 | + | 1.54736i | ||||
\(766\) | 13.6297 | + | 7.86909i | 0.492460 | + | 0.284322i | ||||
\(767\) | 5.55500 | − | 4.69848i | 0.200580 | − | 0.169652i | ||||
\(768\) | 0.0392246 | − | 1.73161i | 0.00141540 | − | 0.0624840i | ||||
\(769\) | 4.93994 | + | 4.93994i | 0.178139 | + | 0.178139i | 0.790544 | − | 0.612405i | \(-0.209798\pi\) |
−0.612405 | + | 0.790544i | \(0.709798\pi\) | |||||||
\(770\) | 13.0890 | + | 14.3613i | 0.471696 | + | 0.517546i | ||||
\(771\) | 8.94329 | + | 5.43710i | 0.322085 | + | 0.195812i | ||||
\(772\) | −2.39902 | + | 8.95326i | −0.0863426 | + | 0.322235i | ||||
\(773\) | 3.76207 | + | 14.0402i | 0.135312 | + | 0.504992i | 0.999996 | + | 0.00267596i | \(0.000851785\pi\) |
−0.864684 | + | 0.502316i | \(0.832482\pi\) | |||||||
\(774\) | −0.866911 | − | 0.949232i | −0.0311605 | − | 0.0341194i | ||||
\(775\) | 6.30426 | + | 1.68922i | 0.226456 | + | 0.0606786i | ||||
\(776\) | 16.8669i | 0.605485i | ||||||||
\(777\) | 33.6978 | + | 11.5711i | 1.20890 | + | 0.415110i | ||||
\(778\) | −11.1415 | + | 11.1415i | −0.399442 | + | 0.399442i | ||||
\(779\) | −21.4897 | − | 37.2212i | −0.769947 | − | 1.33359i | ||||
\(780\) | −12.7056 | + | 1.99583i | −0.454933 | + | 0.0714620i | ||||
\(781\) | −3.76123 | + | 6.51464i | −0.134587 | + | 0.233112i | ||||
\(782\) | −42.8825 | − | 11.4903i | −1.53348 | − | 0.410894i | ||||
\(783\) | −1.76412 | − | 0.120048i | −0.0630446 | − | 0.00429016i | ||||
\(784\) | −4.04573 | + | 5.71245i | −0.144490 | + | 0.204016i | ||||
\(785\) | 2.90745 | − | 2.90745i | 0.103771 | − | 0.103771i | ||||
\(786\) | −17.2097 | + | 16.4473i | −0.613850 | + | 0.586656i | ||||
\(787\) | −5.60464 | − | 20.9168i | −0.199784 | − | 0.745603i | −0.990976 | − | 0.134036i | \(-0.957206\pi\) |
0.791193 | − | 0.611567i | \(-0.209461\pi\) | |||||||
\(788\) | 18.7031 | − | 5.01149i | 0.666272 | − | 0.178527i | ||||
\(789\) | −23.9307 | − | 0.542082i | −0.851957 | − | 0.0192986i | ||||
\(790\) | 18.4591i | 0.656746i | ||||||||
\(791\) | −3.25708 | + | 5.08246i | −0.115808 | + | 0.180711i | ||||
\(792\) | 9.49773 | − | 4.92414i | 0.337487 | − | 0.174972i | ||||
\(793\) | 5.25706 | + | 3.65037i | 0.186684 | + | 0.129628i | ||||
\(794\) | 8.75233 | + | 5.05316i | 0.310608 | + | 0.179330i | ||||
\(795\) | −22.7012 | − | 6.63728i | −0.805128 | − | 0.235400i | ||||
\(796\) | −3.26442 | − | 5.65413i | −0.115704 | − | 0.200405i | ||||
\(797\) | 37.9629 | 1.34472 | 0.672358 | − | 0.740226i | \(-0.265282\pi\) | ||||
0.672358 | + | 0.740226i | \(0.265282\pi\) | |||||||
\(798\) | 14.7588 | − | 21.9210i | 0.522457 | − | 0.775996i | ||||
\(799\) | 7.81456 | + | 7.81456i | 0.276459 | + | 0.276459i | ||||
\(800\) | 0.196337 | − | 0.732739i | 0.00694155 | − | 0.0259062i | ||||
\(801\) | 4.70536 | + | 5.15217i | 0.166256 | + | 0.182043i | ||||
\(802\) | −16.5534 | + | 28.6713i | −0.584521 | + | 1.01242i | ||||
\(803\) | −7.91422 | − | 13.7078i | −0.279287 | − | 0.483739i | ||||
\(804\) | 20.4376 | − | 4.98303i | 0.720778 | − | 0.175738i | ||||
\(805\) | 10.3432 | − | 32.5002i | 0.364549 | − | 1.14548i | ||||
\(806\) | 28.0629 | − | 13.2203i | 0.988475 | − | 0.465665i | ||||
\(807\) | −37.5254 | − | 0.850031i | −1.32096 | − | 0.0299225i | ||||
\(808\) | 18.5166 | − | 4.96150i | 0.651410 | − | 0.174545i | ||||
\(809\) | 28.4508 | + | 16.4261i | 1.00028 | + | 0.577510i | 0.908330 | − | 0.418254i | \(-0.137358\pi\) |
0.0919465 | + | 0.995764i | \(0.470691\pi\) | |||||||
\(810\) | −1.67687 | + | 18.4592i | −0.0589191 | + | 0.648591i | ||||
\(811\) | −1.93172 | − | 1.93172i | −0.0678318 | − | 0.0678318i | 0.672377 | − | 0.740209i | \(-0.265273\pi\) |
−0.740209 | + | 0.672377i | \(0.765273\pi\) | |||||||
\(812\) | 0.799710 | − | 0.413581i | 0.0280643 | − | 0.0145138i | ||||
\(813\) | 4.40870 | − | 1.07492i | 0.154620 | − | 0.0376989i | ||||
\(814\) | 26.7814 | + | 7.17606i | 0.938688 | + | 0.251521i | ||||
\(815\) | −30.1711 | − | 17.4193i | −1.05685 | − | 0.610171i | ||||
\(816\) | −10.7753 | + | 5.89986i | −0.377210 | + | 0.206536i | ||||
\(817\) | −2.38688 | − | 0.639564i | −0.0835065 | − | 0.0223755i | ||||
\(818\) | 22.2728 | 0.778750 | ||||||||
\(819\) | 18.4046 | − | 21.9151i | 0.643110 | − | 0.765774i | ||||
\(820\) | −15.3492 | −0.536018 | ||||||||
\(821\) | −15.7970 | − | 4.23278i | −0.551318 | − | 0.147725i | −0.0276033 | − | 0.999619i | \(-0.508788\pi\) |
−0.523715 | + | 0.851894i | \(0.675454\pi\) | |||||||
\(822\) | 17.7359 | − | 9.71109i | 0.618612 | − | 0.338713i | ||||
\(823\) | 9.88506 | + | 5.70714i | 0.344572 | + | 0.198939i | 0.662292 | − | 0.749246i | \(-0.269584\pi\) |
−0.317720 | + | 0.948185i | \(0.602917\pi\) | |||||||
\(824\) | −7.77228 | − | 2.08258i | −0.270760 | − | 0.0725500i | ||||
\(825\) | 4.55219 | − | 1.10990i | 0.158487 | − | 0.0386419i | ||||
\(826\) | 4.49499 | + | 2.88060i | 0.156401 | + | 0.100229i | ||||
\(827\) | −8.33815 | − | 8.33815i | −0.289946 | − | 0.289946i | 0.547113 | − | 0.837059i | \(-0.315727\pi\) |
−0.837059 | + | 0.547113i | \(0.815727\pi\) | |||||||
\(828\) | −15.8205 | − | 10.1158i | −0.549801 | − | 0.351549i | ||||
\(829\) | −27.7331 | − | 16.0117i | −0.963210 | − | 0.556109i | −0.0660503 | − | 0.997816i | \(-0.521040\pi\) |
−0.897159 | + | 0.441707i | \(0.854373\pi\) | |||||||
\(830\) | 22.8746 | − | 6.12923i | 0.793989 | − | 0.212749i | ||||
\(831\) | 2.78607 | + | 0.0631104i | 0.0966477 | + | 0.00218928i | ||||
\(832\) | −1.53659 | − | 3.26173i | −0.0532715 | − | 0.113080i | ||||
\(833\) | 49.4353 | + | 4.59235i | 1.71283 | + | 0.159115i | ||||
\(834\) | −36.0198 | + | 8.78224i | −1.24726 | + | 0.304104i | ||||
\(835\) | 7.57578 | + | 13.1216i | 0.262171 | + | 0.454093i | ||||
\(836\) | 10.2824 | − | 17.8096i | 0.355623 | − | 0.615957i | ||||
\(837\) | −8.61230 | − | 43.8687i | −0.297685 | − | 1.51632i | ||||
\(838\) | 0.554221 | − | 2.06838i | 0.0191452 | − | 0.0714510i | ||||
\(839\) | −2.99573 | − | 2.99573i | −0.103424 | − | 0.103424i | 0.653501 | − | 0.756925i | \(-0.273299\pi\) |
−0.756925 | + | 0.653501i | \(0.773299\pi\) | |||||||
\(840\) | −4.14441 | − | 8.47901i | −0.142996 | − | 0.292553i | ||||
\(841\) | 28.8842 | 0.996007 | ||||||||
\(842\) | −3.30591 | − | 5.72600i | −0.113929 | − | 0.197331i | ||||
\(843\) | −17.0346 | − | 4.98051i | −0.586703 | − | 0.171538i | ||||
\(844\) | −7.53128 | − | 4.34819i | −0.259238 | − | 0.149671i | ||||
\(845\) | −21.8100 | + | 15.5281i | −0.750288 | + | 0.534183i | ||||
\(846\) | 2.15155 | + | 4.14992i | 0.0739717 | + | 0.142677i | ||||
\(847\) | −4.53819 | − | 0.210337i | −0.155934 | − | 0.00722727i | ||||
\(848\) | − | 6.63047i | − | 0.227691i | ||||||
\(849\) | 18.4173 | + | 0.417190i | 0.632079 | + | 0.0143179i | ||||
\(850\) | −5.19702 | + | 1.39254i | −0.178256 | + | 0.0477636i | ||||
\(851\) | −12.5957 | − | 47.0079i | −0.431776 | − | 1.61141i | ||||
\(852\) | 2.64136 | − | 2.52435i | 0.0904915 | − | 0.0864827i | ||||
\(853\) | −11.0400 | + | 11.0400i | −0.378003 | + | 0.378003i | −0.870381 | − | 0.492378i | \(-0.836128\pi\) |
0.492378 | + | 0.870381i | \(0.336128\pi\) | |||||||
\(854\) | −1.42425 | + | 4.47525i | −0.0487368 | + | 0.153140i | ||||
\(855\) | 16.3991 | + | 31.6307i | 0.560837 | + | 1.08175i | ||||
\(856\) | −0.813479 | − | 0.217971i | −0.0278041 | − | 0.00745010i | ||||
\(857\) | 11.9240 | − | 20.6529i | 0.407315 | − | 0.705491i | −0.587273 | − | 0.809389i | \(-0.699798\pi\) |
0.994588 | + | 0.103899i | \(0.0331317\pi\) | |||||||
\(858\) | 13.1130 | − | 18.0004i | 0.447672 | − | 0.614525i | ||||
\(859\) | 3.71653 | + | 6.43722i | 0.126806 | + | 0.219635i | 0.922438 | − | 0.386146i | \(-0.126194\pi\) |
−0.795631 | + | 0.605781i | \(0.792861\pi\) | |||||||
\(860\) | −0.624022 | + | 0.624022i | −0.0212790 | + | 0.0212790i | ||||
\(861\) | 25.7573 | − | 22.4289i | 0.877805 | − | 0.764375i | ||||
\(862\) | 22.4510i | 0.764684i | ||||||||
\(863\) | 39.0162 | + | 10.4544i | 1.32813 | + | 0.355871i | 0.852017 | − | 0.523514i | \(-0.175379\pi\) |
0.476111 | + | 0.879385i | \(0.342046\pi\) | |||||||
\(864\) | −5.09882 | + | 1.00100i | −0.173465 | + | 0.0340547i | ||||
\(865\) | 8.36298 | + | 31.2111i | 0.284350 | + | 1.06121i | ||||
\(866\) | 5.67961 | − | 21.1966i | 0.193001 | − | 0.720289i | ||||
\(867\) | 49.2914 | + | 29.9669i | 1.67402 | + | 1.01773i | ||||
\(868\) | 15.3335 | + | 16.8240i | 0.520454 | + | 0.571043i | ||||
\(869\) | −22.6014 | − | 22.6014i | −0.766699 | − | 0.766699i | ||||
\(870\) | −0.0274893 | + | 1.21354i | −0.000931975 | + | 0.0411429i | ||||
\(871\) | 33.4347 | − | 28.2794i | 1.13289 | − | 0.958212i | ||||
\(872\) | 11.4808 | + | 6.62845i | 0.388789 | + | 0.224468i | ||||
\(873\) | 49.4193 | − | 10.8698i | 1.67259 | − | 0.367886i | ||||
\(874\) | −36.0961 | −1.22097 | ||||||||
\(875\) | −6.70918 | − | 30.6520i | −0.226812 | − | 1.03623i | ||||
\(876\) | 1.82108 | + | 7.46904i | 0.0615286 | + | 0.252355i | ||||
\(877\) | −6.57892 | + | 24.5529i | −0.222154 | + | 0.829091i | 0.761370 | + | 0.648317i | \(0.224527\pi\) |
−0.983525 | + | 0.180774i | \(0.942140\pi\) | |||||||
\(878\) | −6.42984 | + | 1.72287i | −0.216997 | + | 0.0581441i | ||||
\(879\) | −31.6507 | − | 9.25392i | −1.06755 | − | 0.312127i | ||||
\(880\) | −3.67214 | − | 6.36034i | −0.123788 | − | 0.214407i | ||||
\(881\) | −28.5207 | −0.960888 | −0.480444 | − | 0.877025i | \(-0.659524\pi\) | ||||
−0.480444 | + | 0.877025i | \(0.659524\pi\) | |||||||
\(882\) | 19.3445 | + | 8.17249i | 0.651364 | + | 0.275182i | ||||
\(883\) | 3.85564i | 0.129753i | 0.997893 | + | 0.0648763i | \(0.0206653\pi\) | ||||
−0.997893 | + | 0.0648763i | \(0.979335\pi\) | |||||||
\(884\) | −14.5856 | + | 21.0054i | −0.490566 | + | 0.706486i | ||||
\(885\) | −6.31354 | + | 3.45690i | −0.212227 | + | 0.116202i | ||||
\(886\) | 13.3846 | − | 3.58638i | 0.449663 | − | 0.120487i | ||||
\(887\) | −10.1210 | + | 5.84334i | −0.339829 | + | 0.196200i | −0.660196 | − | 0.751093i | \(-0.729527\pi\) |
0.320368 | + | 0.947293i | \(0.396194\pi\) | |||||||
\(888\) | −11.5069 | − | 6.99565i | −0.386146 | − | 0.234759i | ||||
\(889\) | −11.1953 | + | 17.4696i | −0.375479 | + | 0.585910i | ||||
\(890\) | 3.38702 | − | 3.38702i | 0.113533 | − | 0.113533i | ||||
\(891\) | −20.5483 | − | 24.6547i | −0.688395 | − | 0.825962i | ||||
\(892\) | 1.00504 | + | 3.75086i | 0.0336512 | + | 0.125588i | ||||
\(893\) | 7.78168 | + | 4.49276i | 0.260404 | + | 0.150344i | ||||
\(894\) | −15.0462 | − | 0.340829i | −0.503220 | − | 0.0113990i | ||||
\(895\) | −4.94414 | + | 4.94414i | −0.165264 | + | 0.165264i | ||||
\(896\) | 1.95544 | − | 1.78221i | 0.0653266 | − | 0.0595393i | ||||
\(897\) | −38.8705 | − | 4.13538i | −1.29785 | − | 0.138076i | ||||
\(898\) | 0.537898 | + | 0.931666i | 0.0179499 | + | 0.0310901i | ||||
\(899\) | −0.757759 | − | 2.82800i | −0.0252727 | − | 0.0943190i | ||||
\(900\) | −2.27343 | − | 0.103049i | −0.0757809 | − | 0.00343496i | ||||
\(901\) | −40.7268 | + | 23.5136i | −1.35681 | + | 0.783352i | ||||
\(902\) | 18.7936 | − | 18.7936i | 0.625759 | − | 0.625759i | ||||
\(903\) | 0.135314 | − | 1.95900i | 0.00450297 | − | 0.0651916i | ||||
\(904\) | 1.61334 | − | 1.61334i | 0.0536587 | − | 0.0536587i | ||||
\(905\) | 11.4126 | − | 42.5922i | 0.379366 | − | 1.41581i | ||||
\(906\) | −3.81137 | − | 6.96093i | −0.126624 | − | 0.231261i | ||||
\(907\) | 45.8562 | + | 26.4751i | 1.52263 | + | 0.879090i | 0.999642 | + | 0.0267491i | \(0.00851552\pi\) |
0.522986 | + | 0.852341i | \(0.324818\pi\) | |||||||
\(908\) | 3.90799 | − | 14.5848i | 0.129691 | − | 0.484015i | ||||
\(909\) | −26.4699 | − | 51.0554i | −0.877952 | − | 1.69340i | ||||
\(910\) | −15.6011 | − | 11.9404i | −0.517173 | − | 0.395820i | ||||
\(911\) | 43.7366i | 1.44906i | 0.689244 | + | 0.724529i | \(0.257943\pi\) | ||||
−0.689244 | + | 0.724529i | \(0.742057\pi\) | |||||||
\(912\) | −7.22089 | + | 6.90100i | −0.239107 | + | 0.228515i | ||||
\(913\) | −20.5031 | + | 35.5124i | −0.678553 | + | 1.17529i | ||||
\(914\) | −9.17460 | + | 15.8909i | −0.303469 | + | 0.525623i | ||||
\(915\) | −4.37478 | − | 4.57757i | −0.144626 | − | 0.151330i | ||||
\(916\) | 0.860097 | + | 0.860097i | 0.0284184 | + | 0.0284184i | ||||
\(917\) | −36.3241 | − | 1.68356i | −1.19953 | − | 0.0555959i | ||||
\(918\) | 24.2305 | + | 27.7690i | 0.799724 | + | 0.916514i | ||||
\(919\) | 2.43706 | + | 4.22111i | 0.0803912 | + | 0.139242i | 0.903418 | − | 0.428761i | \(-0.141050\pi\) |
−0.823027 | + | 0.568003i | \(0.807716\pi\) | |||||||
\(920\) | −6.44550 | + | 11.1639i | −0.212502 | + | 0.368064i | ||||
\(921\) | 13.2871 | − | 45.4452i | 0.437824 | − | 1.49747i | ||||
\(922\) | −15.5310 | + | 8.96685i | −0.511487 | + | 0.295307i | ||||
\(923\) | 2.57322 | − | 7.15714i | 0.0846986 | − | 0.235580i | ||||
\(924\) | 15.4561 | + | 5.30729i | 0.508470 | + | 0.174597i | ||||
\(925\) | −4.17048 | − | 4.17048i | −0.137124 | − | 0.137124i | ||||
\(926\) | −22.1893 | + | 12.8110i | −0.729186 | + | 0.420996i | ||||
\(927\) | −1.09306 | + | 24.1146i | −0.0359006 | + | 0.792028i | ||||
\(928\) | −0.328696 | + | 0.0880738i | −0.0107900 | + | 0.00289116i | ||||
\(929\) | −22.4127 | − | 6.00546i | −0.735336 | − | 0.197033i | −0.128332 | − | 0.991731i | \(-0.540962\pi\) |
−0.607004 | + | 0.794699i | \(0.707629\pi\) | |||||||
\(930\) | −29.8168 | + | 7.26985i | −0.977731 | + | 0.238388i | ||||
\(931\) | 39.7908 | − | 6.79633i | 1.30409 | − | 0.222741i | ||||
\(932\) | − | 6.13709i | − | 0.201027i | ||||||
\(933\) | −0.247140 | + | 10.9102i | −0.00809101 | + | 0.357185i | ||||
\(934\) | −6.58099 | − | 24.5606i | −0.215336 | − | 0.803647i | ||||
\(935\) | −26.0450 | + | 45.1113i | −0.851764 | + | 1.47530i | ||||
\(936\) | −8.56652 | + | 6.60415i | −0.280005 | + | 0.215863i | ||||
\(937\) | 30.5321 | 0.997439 | 0.498719 | − | 0.866763i | \(-0.333804\pi\) | ||||
0.498719 | + | 0.866763i | \(0.333804\pi\) | |||||||
\(938\) | 27.0547 | + | 17.3379i | 0.883366 | + | 0.566103i | ||||
\(939\) | −33.9174 | − | 20.6202i | −1.10685 | − | 0.672914i | ||||
\(940\) | 2.77908 | − | 1.60450i | 0.0906434 | − | 0.0523330i | ||||
\(941\) | 12.4338 | + | 46.4035i | 0.405330 | + | 1.51271i | 0.803447 | + | 0.595377i | \(0.202997\pi\) |
−0.398117 | + | 0.917335i | \(0.630336\pi\) | |||||||
\(942\) | 0.970425 | − | 3.31910i | 0.0316182 | − | 0.108142i | ||||
\(943\) | −45.0616 | − | 12.0742i | −1.46741 | − | 0.393191i | ||||
\(944\) | −1.42685 | − | 1.42685i | −0.0464402 | − | 0.0464402i | ||||
\(945\) | −22.1723 | + | 17.6072i | −0.721266 | + | 0.572764i | ||||
\(946\) | − | 1.52811i | − | 0.0496830i | ||||||
\(947\) | 12.7734 | − | 47.6710i | 0.415080 | − | 1.54910i | −0.369595 | − | 0.929193i | \(-0.620503\pi\) |
0.784675 | − | 0.619907i | \(-0.212830\pi\) | |||||||
\(948\) | 7.45577 | + | 13.6169i | 0.242152 | + | 0.442257i | ||||
\(949\) | 10.3349 | + | 12.2189i | 0.335485 | + | 0.396643i | ||||
\(950\) | −3.78847 | + | 2.18728i | −0.122914 | + | 0.0709646i | ||||
\(951\) | 4.42830 | − | 1.07970i | 0.143597 | − | 0.0350115i | ||||
\(952\) | −17.8815 | − | 5.69079i | −0.579544 | − | 0.184440i | ||||
\(953\) | −36.8202 | −1.19272 | −0.596362 | − | 0.802716i | \(-0.703388\pi\) | ||||
−0.596362 | + | 0.802716i | \(0.703388\pi\) | |||||||
\(954\) | −19.4270 | + | 4.27298i | −0.628973 | + | 0.138343i | ||||
\(955\) | 14.6308 | − | 3.92031i | 0.473442 | − | 0.126858i | ||||
\(956\) | 3.45732 | − | 0.926387i | 0.111818 | − | 0.0299615i | ||||
\(957\) | −1.45221 | − | 1.51952i | −0.0469431 | − | 0.0491192i | ||||
\(958\) | 13.8531 | 0.447573 | ||||||||
\(959\) | 29.4328 | + | 9.36697i | 0.950434 | + | 0.302475i | ||||
\(960\) | 0.844969 | + | 3.46558i | 0.0272712 | + | 0.111851i | ||||
\(961\) | 37.2594 | − | 21.5117i | 1.20192 | − | 0.693927i | ||||
\(962\) | −27.9355 | − | 2.33360i | −0.900678 | − | 0.0752383i | ||||
\(963\) | −0.114404 | + | 2.52393i | −0.00368661 | + | 0.0813326i | ||||
\(964\) | 2.81958 | − | 10.5228i | 0.0908125 | − | 0.338917i | ||||
\(965\) | − | 19.0894i | − | 0.614510i | ||||||
\(966\) | −5.49711 | − | 28.1524i | −0.176867 | − | 0.905789i | ||||
\(967\) | −6.82936 | − | 6.82936i | −0.219617 | − | 0.219617i | 0.588720 | − | 0.808337i | \(-0.299632\pi\) |
−0.808337 | + | 0.588720i | \(0.799632\pi\) | |||||||
\(968\) | 1.65861 | + | 0.444423i | 0.0533097 | + | 0.0142843i | ||||
\(969\) | 67.9959 | + | 19.8804i | 2.18434 | + | 0.638649i | ||||
\(970\) | −8.99054 | − | 33.5531i | −0.288669 | − | 1.07733i | ||||
\(971\) | −13.2249 | + | 7.63541i | −0.424408 | + | 0.245032i | −0.696961 | − | 0.717109i | \(-0.745465\pi\) |
0.272554 | + | 0.962141i | \(0.412132\pi\) | |||||||
\(972\) | 6.21881 | + | 14.2943i | 0.199469 | + | 0.458489i | ||||
\(973\) | −47.6820 | − | 30.5568i | −1.52861 | − | 0.979607i | ||||
\(974\) | 14.1102 | 0.452119 | ||||||||
\(975\) | −4.33025 | + | 1.92136i | −0.138679 | + | 0.0615329i | ||||
\(976\) | 0.887540 | − | 1.53726i | 0.0284095 | − | 0.0492066i | ||||
\(977\) | −7.03681 | − | 26.2617i | −0.225128 | − | 0.840187i | −0.982353 | − | 0.187034i | \(-0.940112\pi\) |
0.757226 | − | 0.653153i | \(-0.226554\pi\) | |||||||
\(978\) | −29.2924 | − | 0.663534i | −0.936666 | − | 0.0212175i | ||||
\(979\) | 8.29415i | 0.265082i | ||||||||
\(980\) | 5.00325 | − | 13.5202i | 0.159823 | − | 0.431888i | ||||
\(981\) | 12.0223 | − | 37.9100i | 0.383844 | − | 1.21037i | ||||
\(982\) | −32.6107 | − | 8.73802i | −1.04065 | − | 0.278841i | ||||
\(983\) | 32.3308 | − | 8.66300i | 1.03119 | − | 0.276307i | 0.296733 | − | 0.954961i | \(-0.404103\pi\) |
0.734458 | + | 0.678654i | \(0.237436\pi\) | |||||||
\(984\) | −11.3228 | + | 6.19966i | −0.360958 | + | 0.197638i | ||||
\(985\) | −34.5348 | + | 19.9387i | −1.10037 | + | 0.635299i | ||||
\(986\) | 1.70664 | + | 1.70664i | 0.0543503 | + | 0.0543503i | ||||
\(987\) | −2.31896 | + | 6.75338i | −0.0738132 | + | 0.214962i | ||||
\(988\) | −7.03461 | + | 19.5660i | −0.223801 | + | 0.622478i | ||||
\(989\) | −2.32285 | + | 1.34110i | −0.0738623 | + | 0.0426444i | ||||
\(990\) | −16.2691 | + | 14.8581i | −0.517065 | + | 0.472223i | ||||
\(991\) | 2.49678 | − | 4.32455i | 0.0793129 | − | 0.137374i | −0.823641 | − | 0.567112i | \(-0.808061\pi\) |
0.902954 | + | 0.429738i | \(0.141394\pi\) | |||||||
\(992\) | −4.30184 | − | 7.45101i | −0.136584 | − | 0.236570i | ||||
\(993\) | −8.47184 | − | 34.7467i | −0.268846 | − | 1.10265i | ||||
\(994\) | 5.57505 | + | 0.258394i | 0.176830 | + | 0.00819575i | ||||
\(995\) | 9.50771 | + | 9.50771i | 0.301415 | + | 0.301415i | ||||
\(996\) | 14.3985 | − | 13.7606i | 0.456233 | − | 0.436022i | ||||
\(997\) | −7.91540 | + | 13.7099i | −0.250683 | + | 0.434196i | −0.963714 | − | 0.266936i | \(-0.913989\pi\) |
0.713031 | + | 0.701133i | \(0.247322\pi\) | |||||||
\(998\) | 4.20342 | − | 7.28055i | 0.133057 | − | 0.230462i | ||||
\(999\) | −13.0814 | + | 38.2231i | −0.413878 | + | 1.20933i |
(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 | 546.2.bv.a.515.21 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.515.10 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.359.10 | yes | 144 | |
13.5 | odd | 4 | inner | 546.2.bv.a.473.21 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.359.21 | yes | 144 | |
39.5 | even | 4 | inner | 546.2.bv.a.473.10 | yes | 144 | |
91.44 | odd | 12 | inner | 546.2.bv.a.317.10 | ✓ | 144 | |
273.44 | even | 12 | inner | 546.2.bv.a.317.21 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.10 | ✓ | 144 | 91.44 | odd | 12 | inner | |
546.2.bv.a.317.21 | yes | 144 | 273.44 | even | 12 | inner | |
546.2.bv.a.359.10 | yes | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.359.21 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.473.10 | yes | 144 | 39.5 | even | 4 | inner | |
546.2.bv.a.473.21 | yes | 144 | 13.5 | odd | 4 | inner | |
546.2.bv.a.515.10 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.515.21 | yes | 144 | 1.1 | even | 1 | trivial |