Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(41,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.z (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: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 41.3 | ||
Character | \(\chi\) | \(=\) | 234.41 |
Dual form | 234.2.z.a.137.3 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||
\(3\) | −0.840145 | − | 1.51465i | −0.485058 | − | 0.874482i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −1.83272 | + | 0.491075i | −0.819616 | + | 0.219615i | −0.644179 | − | 0.764875i | \(-0.722801\pi\) |
−0.175437 | + | 0.984491i | \(0.556134\pi\) | |||||||
\(6\) | 1.20354 | + | 1.24559i | 0.491342 | + | 0.508510i | ||||
\(7\) | −1.44971 | − | 1.44971i | −0.547939 | − | 0.547939i | 0.377905 | − | 0.925844i | \(-0.376645\pi\) |
−0.925844 | + | 0.377905i | \(0.876645\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −1.58831 | + | 2.54505i | −0.529437 | + | 0.848349i | ||||
\(10\) | 1.64317 | − | 0.948684i | 0.519616 | − | 0.300000i | ||||
\(11\) | 1.49290 | + | 5.57157i | 0.450125 | + | 1.67989i | 0.702037 | + | 0.712141i | \(0.252274\pi\) |
−0.251912 | + | 0.967750i | \(0.581059\pi\) | |||||||
\(12\) | −1.48491 | − | 0.891650i | −0.428657 | − | 0.257397i | ||||
\(13\) | −2.83735 | − | 2.22474i | −0.786938 | − | 0.617032i | ||||
\(14\) | 1.77553 | + | 1.02510i | 0.474529 | + | 0.273970i | ||||
\(15\) | 2.28355 | + | 2.36335i | 0.589611 | + | 0.610213i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −1.11311 | + | 1.92797i | −0.269969 | + | 0.467601i | −0.968854 | − | 0.247634i | \(-0.920347\pi\) |
0.698884 | + | 0.715235i | \(0.253680\pi\) | |||||||
\(18\) | 0.875485 | − | 2.86941i | 0.206354 | − | 0.676327i | ||||
\(19\) | 1.13029 | + | 4.21829i | 0.259306 | + | 0.967742i | 0.965644 | + | 0.259868i | \(0.0836789\pi\) |
−0.706339 | + | 0.707874i | \(0.749654\pi\) | |||||||
\(20\) | −1.34164 | + | 1.34164i | −0.300000 | + | 0.300000i | ||||
\(21\) | −0.977833 | + | 3.41377i | −0.213381 | + | 0.744945i | ||||
\(22\) | −2.88406 | − | 4.99533i | −0.614883 | − | 1.06501i | ||||
\(23\) | −5.93463 | −1.23746 | −0.618728 | − | 0.785606i | \(-0.712352\pi\) | ||||
−0.618728 | + | 0.785606i | \(0.712352\pi\) | |||||||
\(24\) | 1.66509 | + | 0.476945i | 0.339885 | + | 0.0973560i | ||||
\(25\) | −1.21243 | + | 0.699997i | −0.242486 | + | 0.139999i | ||||
\(26\) | 3.31647 | + | 1.41458i | 0.650413 | + | 0.277421i | ||||
\(27\) | 5.18926 | + | 0.267523i | 0.998674 | + | 0.0514848i | ||||
\(28\) | −1.98034 | − | 0.530631i | −0.374249 | − | 0.100280i | ||||
\(29\) | −5.30738 | − | 3.06422i | −0.985556 | − | 0.569011i | −0.0816131 | − | 0.996664i | \(-0.526007\pi\) |
−0.903943 | + | 0.427653i | \(0.859341\pi\) | |||||||
\(30\) | −2.81742 | − | 1.69179i | −0.514389 | − | 0.308877i | ||||
\(31\) | 0.660699 | + | 2.46576i | 0.118665 | + | 0.442864i | 0.999535 | − | 0.0304944i | \(-0.00970818\pi\) |
−0.880870 | + | 0.473359i | \(0.843042\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 7.18471 | − | 6.94214i | 1.25070 | − | 1.20847i | ||||
\(34\) | 0.576189 | − | 2.15037i | 0.0988157 | − | 0.368785i | ||||
\(35\) | 3.36883 | + | 1.94499i | 0.569436 | + | 0.328764i | ||||
\(36\) | −0.102995 | + | 2.99823i | −0.0171658 | + | 0.499705i | ||||
\(37\) | −0.585575 | + | 2.18540i | −0.0962680 | + | 0.359277i | −0.997209 | − | 0.0746653i | \(-0.976211\pi\) |
0.900941 | + | 0.433942i | \(0.142878\pi\) | |||||||
\(38\) | −2.18355 | − | 3.78201i | −0.354218 | − | 0.613524i | ||||
\(39\) | −0.985916 | + | 6.16668i | −0.157873 | + | 0.987459i | ||||
\(40\) | 0.948684 | − | 1.64317i | 0.150000 | − | 0.259808i | ||||
\(41\) | −7.91945 | − | 7.91945i | −1.23681 | − | 1.23681i | −0.961298 | − | 0.275512i | \(-0.911153\pi\) |
−0.275512 | − | 0.961298i | \(-0.588847\pi\) | |||||||
\(42\) | 0.0609657 | − | 3.55053i | 0.00940722 | − | 0.547858i | ||||
\(43\) | − | 5.93015i | − | 0.904339i | −0.891932 | − | 0.452169i | \(-0.850650\pi\) | ||
0.891932 | − | 0.452169i | \(-0.149350\pi\) | |||||||
\(44\) | 4.07867 | + | 4.07867i | 0.614883 | + | 0.614883i | ||||
\(45\) | 1.66112 | − | 5.44433i | 0.247625 | − | 0.811593i | ||||
\(46\) | 5.73241 | − | 1.53599i | 0.845198 | − | 0.226470i | ||||
\(47\) | 5.46823 | + | 1.46521i | 0.797623 | + | 0.213723i | 0.634540 | − | 0.772890i | \(-0.281189\pi\) |
0.163083 | + | 0.986612i | \(0.447856\pi\) | |||||||
\(48\) | −1.73180 | − | 0.0297365i | −0.249963 | − | 0.00429209i | ||||
\(49\) | − | 2.79668i | − | 0.399525i | ||||||
\(50\) | 0.989945 | − | 0.989945i | 0.139999 | − | 0.139999i | ||||
\(51\) | 3.85537 | + | 0.0662001i | 0.539859 | + | 0.00926986i | ||||
\(52\) | −3.56958 | − | 0.508010i | −0.495012 | − | 0.0704483i | ||||
\(53\) | − | 2.73563i | − | 0.375767i | −0.982191 | − | 0.187884i | \(-0.939837\pi\) | ||
0.982191 | − | 0.187884i | \(-0.0601628\pi\) | |||||||
\(54\) | −5.08168 | + | 1.08467i | −0.691529 | + | 0.147605i | ||||
\(55\) | −5.47212 | − | 9.47798i | −0.737860 | − | 1.27801i | ||||
\(56\) | 2.05020 | 0.273970 | ||||||||
\(57\) | 5.43961 | − | 5.25596i | 0.720494 | − | 0.696169i | ||||
\(58\) | 5.91962 | + | 1.58616i | 0.777284 | + | 0.208273i | ||||
\(59\) | 6.36257 | + | 1.70485i | 0.828337 | + | 0.221952i | 0.647988 | − | 0.761651i | \(-0.275611\pi\) |
0.180349 | + | 0.983603i | \(0.442277\pi\) | |||||||
\(60\) | 3.15929 | + | 0.904940i | 0.407862 | + | 0.116827i | ||||
\(61\) | 8.86956 | 1.13563 | 0.567815 | − | 0.823156i | \(-0.307789\pi\) | ||||
0.567815 | + | 0.823156i | \(0.307789\pi\) | |||||||
\(62\) | −1.27637 | − | 2.21074i | −0.162100 | − | 0.280765i | ||||
\(63\) | 5.99218 | − | 1.38699i | 0.754943 | − | 0.174744i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 6.29257 | + | 2.68397i | 0.780497 | + | 0.332906i | ||||
\(66\) | −5.14314 | + | 8.56513i | −0.633077 | + | 1.05429i | ||||
\(67\) | −9.80081 | + | 9.80081i | −1.19736 | + | 1.19736i | −0.222406 | + | 0.974954i | \(0.571391\pi\) |
−0.974954 | + | 0.222406i | \(0.928609\pi\) | |||||||
\(68\) | 2.22623i | 0.269969i | ||||||||
\(69\) | 4.98595 | + | 8.98886i | 0.600238 | + | 1.08213i | ||||
\(70\) | −3.75744 | − | 1.00680i | −0.449100 | − | 0.120336i | ||||
\(71\) | −6.43432 | + | 1.72407i | −0.763613 | + | 0.204609i | −0.619548 | − | 0.784959i | \(-0.712684\pi\) |
−0.144065 | + | 0.989568i | \(0.546017\pi\) | |||||||
\(72\) | −0.676514 | − | 2.92273i | −0.0797279 | − | 0.344447i | ||||
\(73\) | 6.02332 | + | 6.02332i | 0.704976 | + | 0.704976i | 0.965474 | − | 0.260498i | \(-0.0838869\pi\) |
−0.260498 | + | 0.965474i | \(0.583887\pi\) | |||||||
\(74\) | − | 2.26249i | − | 0.263009i | ||||||
\(75\) | 2.07887 | + | 1.24830i | 0.240047 | + | 0.144142i | ||||
\(76\) | 3.08800 | + | 3.08800i | 0.354218 | + | 0.354218i | ||||
\(77\) | 5.91289 | − | 10.2414i | 0.673837 | − | 1.16712i | ||||
\(78\) | −0.643733 | − | 6.21173i | −0.0728885 | − | 0.703340i | ||||
\(79\) | −5.25497 | − | 9.10187i | −0.591230 | − | 1.02404i | −0.994067 | − | 0.108769i | \(-0.965309\pi\) |
0.402837 | − | 0.915272i | \(-0.368024\pi\) | |||||||
\(80\) | −0.491075 | + | 1.83272i | −0.0549039 | + | 0.204904i | ||||
\(81\) | −3.95453 | − | 8.08466i | −0.439392 | − | 0.898295i | ||||
\(82\) | 9.69930 | + | 5.59989i | 1.07111 | + | 0.618405i | ||||
\(83\) | 0.723746 | − | 2.70106i | 0.0794414 | − | 0.296479i | −0.914762 | − | 0.403993i | \(-0.867622\pi\) |
0.994204 | + | 0.107513i | \(0.0342888\pi\) | |||||||
\(84\) | 0.860056 | + | 3.44533i | 0.0938398 | + | 0.375916i | ||||
\(85\) | 1.09324 | − | 4.08004i | 0.118579 | − | 0.442543i | ||||
\(86\) | 1.53483 | + | 5.72808i | 0.165505 | + | 0.617675i | ||||
\(87\) | −0.182238 | + | 10.6132i | −0.0195380 | + | 1.13785i | ||||
\(88\) | −4.99533 | − | 2.88406i | −0.532504 | − | 0.307441i | ||||
\(89\) | −12.7827 | − | 3.42511i | −1.35496 | − | 0.363061i | −0.492999 | − | 0.870030i | \(-0.664099\pi\) |
−0.861965 | + | 0.506969i | \(0.830766\pi\) | |||||||
\(90\) | −0.195419 | + | 5.68875i | −0.0205990 | + | 0.599647i | ||||
\(91\) | 0.888099 | + | 7.33856i | 0.0930981 | + | 0.769290i | ||||
\(92\) | −5.13954 | + | 2.96731i | −0.535834 | + | 0.309364i | ||||
\(93\) | 3.17968 | − | 3.07233i | 0.329717 | − | 0.318585i | ||||
\(94\) | −5.66113 | −0.583901 | ||||||||
\(95\) | −4.14299 | − | 7.17587i | −0.425062 | − | 0.736229i | ||||
\(96\) | 1.68048 | − | 0.419498i | 0.171514 | − | 0.0428149i | ||||
\(97\) | −4.43038 | + | 4.43038i | −0.449837 | + | 0.449837i | −0.895300 | − | 0.445463i | \(-0.853039\pi\) |
0.445463 | + | 0.895300i | \(0.353039\pi\) | |||||||
\(98\) | 0.723833 | + | 2.70138i | 0.0731182 | + | 0.272881i | ||||
\(99\) | −16.5511 | − | 5.04989i | −1.66345 | − | 0.507533i | ||||
\(100\) | −0.699997 | + | 1.21243i | −0.0699997 | + | 0.121243i | ||||
\(101\) | 1.76416 | − | 3.05561i | 0.175540 | − | 0.304045i | −0.764808 | − | 0.644258i | \(-0.777166\pi\) |
0.940348 | + | 0.340214i | \(0.110499\pi\) | |||||||
\(102\) | −3.74113 | + | 0.933898i | −0.370427 | + | 0.0924697i | ||||
\(103\) | −2.08972 | − | 1.20650i | −0.205906 | − | 0.118880i | 0.393501 | − | 0.919324i | \(-0.371264\pi\) |
−0.599407 | + | 0.800444i | \(0.704597\pi\) | |||||||
\(104\) | 3.57944 | − | 0.433177i | 0.350993 | − | 0.0424765i | ||||
\(105\) | 0.115674 | − | 6.73666i | 0.0112887 | − | 0.657431i | ||||
\(106\) | 0.708032 | + | 2.64241i | 0.0687702 | + | 0.256654i | ||||
\(107\) | −11.9580 | + | 6.90393i | −1.15602 | + | 0.667428i | −0.950347 | − | 0.311193i | \(-0.899272\pi\) |
−0.205673 | + | 0.978621i | \(0.565938\pi\) | |||||||
\(108\) | 4.62779 | − | 2.36295i | 0.445310 | − | 0.227375i | ||||
\(109\) | −8.53541 | + | 8.53541i | −0.817544 | + | 0.817544i | −0.985752 | − | 0.168207i | \(-0.946202\pi\) |
0.168207 | + | 0.985752i | \(0.446202\pi\) | |||||||
\(110\) | 7.73874 | + | 7.73874i | 0.737860 | + | 0.737860i | ||||
\(111\) | 3.80207 | − | 0.949111i | 0.360877 | − | 0.0900856i | ||||
\(112\) | −1.98034 | + | 0.530631i | −0.187125 | + | 0.0501399i | ||||
\(113\) | −7.95194 | + | 4.59106i | −0.748056 | + | 0.431890i | −0.824991 | − | 0.565146i | \(-0.808820\pi\) |
0.0769351 | + | 0.997036i | \(0.475487\pi\) | |||||||
\(114\) | −3.89392 | + | 6.48474i | −0.364699 | + | 0.607352i | ||||
\(115\) | 10.8765 | − | 2.91435i | 1.01424 | − | 0.271764i | ||||
\(116\) | −6.12844 | −0.569011 | ||||||||
\(117\) | 10.1687 | − | 3.68759i | 0.940093 | − | 0.340918i | ||||
\(118\) | −6.58702 | −0.606384 | ||||||||
\(119\) | 4.40869 | − | 1.18130i | 0.404144 | − | 0.108290i | ||||
\(120\) | −3.28585 | − | 0.0564210i | −0.299956 | − | 0.00515051i | ||||
\(121\) | −19.2873 | + | 11.1356i | −1.75339 | + | 1.01232i | ||||
\(122\) | −8.56734 | + | 2.29561i | −0.775650 | + | 0.207835i | ||||
\(123\) | −5.34168 | + | 18.6487i | −0.481643 | + | 1.68149i | ||||
\(124\) | 1.80506 | + | 1.80506i | 0.162100 | + | 0.162100i | ||||
\(125\) | 8.58650 | − | 8.58650i | 0.768000 | − | 0.768000i | ||||
\(126\) | −5.42902 | + | 2.89062i | −0.483655 | + | 0.257517i | ||||
\(127\) | 7.73808 | − | 4.46758i | 0.686643 | − | 0.396434i | −0.115710 | − | 0.993283i | \(-0.536914\pi\) |
0.802353 | + | 0.596849i | \(0.203581\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | −8.98208 | + | 4.98218i | −0.790828 | + | 0.438657i | ||||
\(130\) | −6.77281 | − | 0.963881i | −0.594015 | − | 0.0845380i | ||||
\(131\) | 16.1712 | + | 9.33646i | 1.41289 | + | 0.815731i | 0.995659 | − | 0.0930716i | \(-0.0296686\pi\) |
0.417227 | + | 0.908802i | \(0.363002\pi\) | |||||||
\(132\) | 2.75107 | − | 9.60442i | 0.239450 | − | 0.835958i | ||||
\(133\) | 4.47671 | − | 7.75389i | 0.388180 | − | 0.672347i | ||||
\(134\) | 6.93022 | − | 12.0035i | 0.598680 | − | 1.03694i | ||||
\(135\) | −9.64182 | + | 2.05802i | −0.829836 | + | 0.177126i | ||||
\(136\) | −0.576189 | − | 2.15037i | −0.0494078 | − | 0.184393i | ||||
\(137\) | 7.30587 | − | 7.30587i | 0.624183 | − | 0.624183i | −0.322416 | − | 0.946598i | \(-0.604495\pi\) |
0.946598 | + | 0.322416i | \(0.104495\pi\) | |||||||
\(138\) | −7.14255 | − | 7.39212i | −0.608014 | − | 0.629259i | ||||
\(139\) | 9.34661 | + | 16.1888i | 0.792769 | + | 1.37312i | 0.924246 | + | 0.381797i | \(0.124695\pi\) |
−0.131478 | + | 0.991319i | \(0.541972\pi\) | |||||||
\(140\) | 3.88999 | 0.328764 | ||||||||
\(141\) | −2.37483 | − | 9.51343i | −0.199997 | − | 0.801175i | ||||
\(142\) | 5.76885 | − | 3.33065i | 0.484111 | − | 0.279502i | ||||
\(143\) | 8.15943 | − | 19.1298i | 0.682326 | − | 1.59971i | ||||
\(144\) | 1.40992 | + | 2.64804i | 0.117493 | + | 0.220670i | ||||
\(145\) | 11.2317 | + | 3.00952i | 0.932741 | + | 0.249927i | ||||
\(146\) | −7.37702 | − | 4.25913i | −0.610527 | − | 0.352488i | ||||
\(147\) | −4.23598 | + | 2.34961i | −0.349378 | + | 0.193793i | ||||
\(148\) | 0.585575 | + | 2.18540i | 0.0481340 | + | 0.179639i | ||||
\(149\) | 1.41941 | − | 5.29732i | 0.116283 | − | 0.433973i | −0.883097 | − | 0.469191i | \(-0.844546\pi\) |
0.999380 | + | 0.0352173i | \(0.0112123\pi\) | |||||||
\(150\) | −2.33112 | − | 0.667720i | −0.190335 | − | 0.0545191i | ||||
\(151\) | −1.68500 | + | 6.28851i | −0.137124 | + | 0.511752i | 0.862857 | + | 0.505449i | \(0.168673\pi\) |
−0.999980 | + | 0.00630324i | \(0.997994\pi\) | |||||||
\(152\) | −3.78201 | − | 2.18355i | −0.306762 | − | 0.177109i | ||||
\(153\) | −3.13880 | − | 5.89514i | −0.253757 | − | 0.476594i | ||||
\(154\) | −3.06074 | + | 11.4228i | −0.246641 | + | 0.920478i | ||||
\(155\) | −2.42175 | − | 4.19459i | −0.194520 | − | 0.336918i | ||||
\(156\) | 2.22951 | + | 5.83346i | 0.178504 | + | 0.467051i | ||||
\(157\) | −5.12269 | + | 8.87276i | −0.408835 | + | 0.708123i | −0.994759 | − | 0.102243i | \(-0.967398\pi\) |
0.585924 | + | 0.810366i | \(0.300732\pi\) | |||||||
\(158\) | 7.43165 | + | 7.43165i | 0.591230 | + | 0.591230i | ||||
\(159\) | −4.14351 | + | 2.29832i | −0.328602 | + | 0.182269i | ||||
\(160\) | − | 1.89737i | − | 0.150000i | ||||||
\(161\) | 8.60349 | + | 8.60349i | 0.678050 | + | 0.678050i | ||||
\(162\) | 5.91225 | + | 6.78567i | 0.464510 | + | 0.533133i | ||||
\(163\) | 15.5355 | − | 4.16272i | 1.21683 | − | 0.326049i | 0.407393 | − | 0.913253i | \(-0.366438\pi\) |
0.809439 | + | 0.587203i | \(0.199771\pi\) | |||||||
\(164\) | −10.8182 | − | 2.89872i | −0.844757 | − | 0.226352i | ||||
\(165\) | −9.75843 | + | 16.2512i | −0.759692 | + | 1.26515i | ||||
\(166\) | 2.79634i | 0.217038i | ||||||||
\(167\) | −4.00324 | + | 4.00324i | −0.309780 | + | 0.309780i | −0.844824 | − | 0.535044i | \(-0.820295\pi\) |
0.535044 | + | 0.844824i | \(0.320295\pi\) | |||||||
\(168\) | −1.72247 | − | 3.10533i | −0.132891 | − | 0.239581i | ||||
\(169\) | 3.10105 | + | 12.6247i | 0.238543 | + | 0.971132i | ||||
\(170\) | 4.22397i | 0.323964i | ||||||||
\(171\) | −12.5310 | − | 3.82332i | −0.958269 | − | 0.292377i | ||||
\(172\) | −2.96507 | − | 5.13566i | −0.226085 | − | 0.391590i | ||||
\(173\) | 11.2165 | 0.852772 | 0.426386 | − | 0.904541i | \(-0.359787\pi\) | ||||
0.426386 | + | 0.904541i | \(0.359787\pi\) | |||||||
\(174\) | −2.57087 | − | 10.2987i | −0.194897 | − | 0.780745i | ||||
\(175\) | 2.77247 | + | 0.742880i | 0.209579 | + | 0.0561565i | ||||
\(176\) | 5.57157 | + | 1.49290i | 0.419973 | + | 0.112531i | ||||
\(177\) | −2.76325 | − | 11.0694i | −0.207698 | − | 0.832025i | ||||
\(178\) | 13.2336 | 0.991902 | ||||||||
\(179\) | 5.57461 | + | 9.65551i | 0.416666 | + | 0.721687i | 0.995602 | − | 0.0936864i | \(-0.0298651\pi\) |
−0.578936 | + | 0.815373i | \(0.696532\pi\) | |||||||
\(180\) | −1.28360 | − | 5.54549i | −0.0956736 | − | 0.413336i | ||||
\(181\) | − | 2.01561i | − | 0.149819i | −0.997190 | − | 0.0749094i | \(-0.976133\pi\) | ||
0.997190 | − | 0.0749094i | \(-0.0238668\pi\) | |||||||
\(182\) | −2.75720 | − | 6.85865i | −0.204377 | − | 0.508397i | ||||
\(183\) | −7.45172 | − | 13.4343i | −0.550847 | − | 0.993089i | ||||
\(184\) | 4.19641 | − | 4.19641i | 0.309364 | − | 0.309364i | ||||
\(185\) | − | 4.29278i | − | 0.315611i | ||||||
\(186\) | −2.27616 | + | 3.79060i | −0.166896 | + | 0.277940i | ||||
\(187\) | −12.4036 | − | 3.32352i | −0.907038 | − | 0.243040i | ||||
\(188\) | 5.46823 | − | 1.46521i | 0.398812 | − | 0.106861i | ||||
\(189\) | −7.13510 | − | 7.91076i | −0.519002 | − | 0.575423i | ||||
\(190\) | 5.85908 | + | 5.85908i | 0.425062 | + | 0.425062i | ||||
\(191\) | − | 0.561217i | − | 0.0406082i | −0.999794 | − | 0.0203041i | \(-0.993537\pi\) | ||
0.999794 | − | 0.0203041i | \(-0.00646344\pi\) | |||||||
\(192\) | −1.51465 | + | 0.840145i | −0.109310 | + | 0.0606323i | ||||
\(193\) | −6.30863 | − | 6.30863i | −0.454105 | − | 0.454105i | 0.442610 | − | 0.896714i | \(-0.354053\pi\) |
−0.896714 | + | 0.442610i | \(0.854053\pi\) | |||||||
\(194\) | 3.13275 | − | 5.42608i | 0.224918 | − | 0.389570i | ||||
\(195\) | −1.22140 | − | 11.7859i | −0.0874662 | − | 0.844009i | ||||
\(196\) | −1.39834 | − | 2.42199i | −0.0998813 | − | 0.173000i | ||||
\(197\) | −2.52062 | + | 9.40707i | −0.179586 | + | 0.670226i | 0.816138 | + | 0.577857i | \(0.196111\pi\) |
−0.995725 | + | 0.0923693i | \(0.970556\pi\) | |||||||
\(198\) | 17.2941 | + | 0.594086i | 1.22904 | + | 0.0422199i | ||||
\(199\) | −7.42000 | − | 4.28394i | −0.525990 | − | 0.303680i | 0.213392 | − | 0.976967i | \(-0.431549\pi\) |
−0.739382 | + | 0.673286i | \(0.764882\pi\) | |||||||
\(200\) | 0.362345 | − | 1.35229i | 0.0256217 | − | 0.0956214i | ||||
\(201\) | 23.0789 | + | 6.61067i | 1.62786 | + | 0.466281i | ||||
\(202\) | −0.913195 | + | 3.40809i | −0.0642522 | + | 0.239792i | ||||
\(203\) | 3.25194 | + | 12.1364i | 0.228241 | + | 0.851808i | ||||
\(204\) | 3.37195 | − | 1.87035i | 0.236083 | − | 0.130951i | ||||
\(205\) | 18.4031 | + | 10.6251i | 1.28533 | + | 0.742087i | ||||
\(206\) | 2.33078 | + | 0.624531i | 0.162393 | + | 0.0435131i | ||||
\(207\) | 9.42604 | − | 15.1039i | 0.655155 | − | 1.04979i | ||||
\(208\) | −3.34535 | + | 1.34484i | −0.231959 | + | 0.0932480i | ||||
\(209\) | −21.8151 | + | 12.5949i | −1.50898 | + | 0.871210i | ||||
\(210\) | 1.63184 | + | 6.53705i | 0.112608 | + | 0.451099i | ||||
\(211\) | 12.8435 | 0.884180 | 0.442090 | − | 0.896971i | \(-0.354237\pi\) | ||||
0.442090 | + | 0.896971i | \(0.354237\pi\) | |||||||
\(212\) | −1.36781 | − | 2.36912i | −0.0939418 | − | 0.162712i | ||||
\(213\) | 8.01712 | + | 8.29725i | 0.549324 | + | 0.568518i | ||||
\(214\) | 9.76363 | − | 9.76363i | 0.667428 | − | 0.667428i | ||||
\(215\) | 2.91215 | + | 10.8683i | 0.198607 | + | 0.741211i | ||||
\(216\) | −3.85853 | + | 3.48019i | −0.262540 | + | 0.236797i | ||||
\(217\) | 2.61682 | − | 4.53247i | 0.177641 | − | 0.307684i | ||||
\(218\) | 6.03545 | − | 10.4537i | 0.408772 | − | 0.708014i | ||||
\(219\) | 4.06274 | − | 14.1837i | 0.274534 | − | 0.958443i | ||||
\(220\) | −9.47798 | − | 5.47212i | −0.639005 | − | 0.368930i | ||||
\(221\) | 7.44751 | − | 2.99392i | 0.500974 | − | 0.201393i | ||||
\(222\) | −3.42687 | + | 1.90082i | −0.229997 | + | 0.127575i | ||||
\(223\) | −3.12393 | − | 11.6587i | −0.209194 | − | 0.780721i | −0.988130 | − | 0.153619i | \(-0.950907\pi\) |
0.778937 | − | 0.627103i | \(-0.215759\pi\) | |||||||
\(224\) | 1.77553 | − | 1.02510i | 0.118632 | − | 0.0684924i | ||||
\(225\) | 0.144192 | − | 4.19751i | 0.00961282 | − | 0.279834i | ||||
\(226\) | 6.49274 | − | 6.49274i | 0.431890 | − | 0.431890i | ||||
\(227\) | −9.08871 | − | 9.08871i | −0.603239 | − | 0.603239i | 0.337932 | − | 0.941171i | \(-0.390273\pi\) |
−0.941171 | + | 0.337932i | \(0.890273\pi\) | |||||||
\(228\) | 2.08286 | − | 7.27160i | 0.137941 | − | 0.481574i | ||||
\(229\) | 18.7930 | − | 5.03556i | 1.24187 | − | 0.332759i | 0.422682 | − | 0.906278i | \(-0.361089\pi\) |
0.819192 | + | 0.573519i | \(0.194422\pi\) | |||||||
\(230\) | −9.75159 | + | 5.63009i | −0.643001 | + | 0.371237i | ||||
\(231\) | −20.4798 | − | 0.351657i | −1.34747 | − | 0.0231373i | ||||
\(232\) | 5.91962 | − | 1.58616i | 0.388642 | − | 0.104136i | ||||
\(233\) | −4.00407 | −0.262316 | −0.131158 | − | 0.991361i | \(-0.541869\pi\) | ||||
−0.131158 | + | 0.991361i | \(0.541869\pi\) | |||||||
\(234\) | −8.86775 | + | 6.19379i | −0.579703 | + | 0.404900i | ||||
\(235\) | −10.7412 | −0.700682 | ||||||||
\(236\) | 6.36257 | − | 1.70485i | 0.414168 | − | 0.110976i | ||||
\(237\) | −9.37119 | + | 15.6063i | −0.608724 | + | 1.01374i | ||||
\(238\) | −3.95272 | + | 2.28210i | −0.256217 | + | 0.147927i | ||||
\(239\) | 8.86245 | − | 2.37469i | 0.573264 | − | 0.153606i | 0.0394708 | − | 0.999221i | \(-0.487433\pi\) |
0.533793 | + | 0.845615i | \(0.320766\pi\) | |||||||
\(240\) | 3.18849 | − | 0.795943i | 0.205816 | − | 0.0513779i | ||||
\(241\) | −13.6909 | − | 13.6909i | −0.881911 | − | 0.881911i | 0.111818 | − | 0.993729i | \(-0.464333\pi\) |
−0.993729 | + | 0.111818i | \(0.964333\pi\) | |||||||
\(242\) | 15.7480 | − | 15.7480i | 1.01232 | − | 1.01232i | ||||
\(243\) | −8.92302 | + | 12.7820i | −0.572412 | + | 0.819966i | ||||
\(244\) | 7.68127 | − | 4.43478i | 0.491743 | − | 0.283908i | ||||
\(245\) | 1.37338 | + | 5.12552i | 0.0877419 | + | 0.327457i | ||||
\(246\) | 0.333042 | − | 19.3957i | 0.0212340 | − | 1.23663i | ||||
\(247\) | 6.17758 | − | 14.4833i | 0.393070 | − | 0.921553i | ||||
\(248\) | −2.21074 | − | 1.27637i | −0.140382 | − | 0.0810498i | ||||
\(249\) | −4.69920 | + | 1.17306i | −0.297800 | + | 0.0743396i | ||||
\(250\) | −6.07157 | + | 10.5163i | −0.384000 | + | 0.665107i | ||||
\(251\) | 7.58584 | − | 13.1391i | 0.478814 | − | 0.829331i | −0.520891 | − | 0.853623i | \(-0.674400\pi\) |
0.999705 | + | 0.0242928i | \(0.00773340\pi\) | |||||||
\(252\) | 4.49588 | − | 4.19726i | 0.283214 | − | 0.264402i | ||||
\(253\) | −8.85979 | − | 33.0652i | −0.557010 | − | 2.07879i | ||||
\(254\) | −6.31811 | + | 6.31811i | −0.396434 | + | 0.396434i | ||||
\(255\) | −7.09831 | + | 1.77195i | −0.444513 | + | 0.110964i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −7.12985 | −0.444748 | −0.222374 | − | 0.974961i | \(-0.571381\pi\) | ||||
−0.222374 | + | 0.974961i | \(0.571381\pi\) | |||||||
\(258\) | 7.38654 | − | 7.13715i | 0.459866 | − | 0.444340i | ||||
\(259\) | 4.01711 | − | 2.31928i | 0.249611 | − | 0.144113i | ||||
\(260\) | 6.79151 | − | 0.821895i | 0.421191 | − | 0.0509718i | ||||
\(261\) | 16.2284 | − | 8.64060i | 1.00451 | − | 0.534840i | ||||
\(262\) | −18.0367 | − | 4.83291i | −1.11431 | − | 0.298578i | ||||
\(263\) | 8.95993 | + | 5.17302i | 0.552493 | + | 0.318982i | 0.750127 | − | 0.661294i | \(-0.229992\pi\) |
−0.197634 | + | 0.980276i | \(0.563326\pi\) | |||||||
\(264\) | −0.171523 | + | 9.98919i | −0.0105565 | + | 0.614792i | ||||
\(265\) | 1.34340 | + | 5.01363i | 0.0825243 | + | 0.307985i | ||||
\(266\) | −2.31731 | + | 8.64834i | −0.142084 | + | 0.530264i | ||||
\(267\) | 5.55148 | + | 22.2389i | 0.339745 | + | 1.36100i | ||||
\(268\) | −3.58735 | + | 13.3882i | −0.219132 | + | 0.817812i | ||||
\(269\) | −16.9068 | − | 9.76113i | −1.03082 | − | 0.595146i | −0.113603 | − | 0.993526i | \(-0.536239\pi\) |
−0.917221 | + | 0.398380i | \(0.869573\pi\) | |||||||
\(270\) | 8.78063 | − | 4.48338i | 0.534372 | − | 0.272850i | ||||
\(271\) | −4.18848 | + | 15.6316i | −0.254432 | + | 0.949553i | 0.713974 | + | 0.700172i | \(0.246894\pi\) |
−0.968406 | + | 0.249380i | \(0.919773\pi\) | |||||||
\(272\) | 1.11311 | + | 1.92797i | 0.0674924 | + | 0.116900i | ||||
\(273\) | 10.3692 | − | 7.51061i | 0.627572 | − | 0.454563i | ||||
\(274\) | −5.16603 | + | 8.94783i | −0.312091 | + | 0.540558i | ||||
\(275\) | −5.71011 | − | 5.71011i | −0.344333 | − | 0.344333i | ||||
\(276\) | 8.81239 | + | 5.29161i | 0.530444 | + | 0.318518i | ||||
\(277\) | 30.8376i | 1.85285i | 0.376475 | + | 0.926427i | \(0.377136\pi\) | ||||
−0.376475 | + | 0.926427i | \(0.622864\pi\) | |||||||
\(278\) | −13.2181 | − | 13.2181i | −0.792769 | − | 0.792769i | ||||
\(279\) | −7.32488 | − | 2.23489i | −0.438529 | − | 0.133799i | ||||
\(280\) | −3.75744 | + | 1.00680i | −0.224550 | + | 0.0601679i | ||||
\(281\) | −8.78669 | − | 2.35439i | −0.524170 | − | 0.140451i | −0.0129751 | − | 0.999916i | \(-0.504130\pi\) |
−0.511195 | + | 0.859465i | \(0.670797\pi\) | |||||||
\(282\) | 4.75617 | + | 8.57461i | 0.283226 | + | 0.510611i | ||||
\(283\) | − | 17.1581i | − | 1.01994i | −0.860192 | − | 0.509970i | \(-0.829656\pi\) | ||
0.860192 | − | 0.509970i | \(-0.170344\pi\) | |||||||
\(284\) | −4.71025 | + | 4.71025i | −0.279502 | + | 0.279502i | ||||
\(285\) | −7.38820 | + | 12.3039i | −0.437639 | + | 0.728823i | ||||
\(286\) | −2.93026 | + | 20.5898i | −0.173270 | + | 1.21750i | ||||
\(287\) | 22.9618i | 1.35539i | ||||||||
\(288\) | −2.04724 | − | 2.19290i | −0.120635 | − | 0.129218i | ||||
\(289\) | 6.02196 | + | 10.4303i | 0.354233 | + | 0.613550i | ||||
\(290\) | −11.6279 | −0.682814 | ||||||||
\(291\) | 10.4326 | + | 2.98830i | 0.611571 | + | 0.175177i | ||||
\(292\) | 8.22800 | + | 2.20469i | 0.481507 | + | 0.129020i | ||||
\(293\) | 10.1264 | + | 2.71337i | 0.591592 | + | 0.158517i | 0.542181 | − | 0.840262i | \(-0.317599\pi\) |
0.0494113 | + | 0.998779i | \(0.484265\pi\) | |||||||
\(294\) | 3.48352 | − | 3.36591i | 0.203163 | − | 0.196304i | ||||
\(295\) | −12.4980 | −0.727662 | ||||||||
\(296\) | −1.13124 | − | 1.95937i | −0.0657523 | − | 0.113886i | ||||
\(297\) | 6.25651 | + | 29.3117i | 0.363040 | + | 1.70084i | ||||
\(298\) | 5.48419i | 0.317691i | ||||||||
\(299\) | 16.8386 | + | 13.2030i | 0.973800 | + | 0.763550i | ||||
\(300\) | 2.42450 | + | 0.0416309i | 0.139979 | + | 0.00240356i | ||||
\(301\) | −8.59700 | + | 8.59700i | −0.495523 | + | 0.495523i | ||||
\(302\) | − | 6.51035i | − | 0.374629i | ||||||
\(303\) | −6.11032 | − | 0.104920i | −0.351029 | − | 0.00602748i | ||||
\(304\) | 4.21829 | + | 1.13029i | 0.241935 | + | 0.0648264i | ||||
\(305\) | −16.2554 | + | 4.35562i | −0.930781 | + | 0.249402i | ||||
\(306\) | 4.55762 | + | 4.88189i | 0.260542 | + | 0.279079i | ||||
\(307\) | 6.92368 | + | 6.92368i | 0.395155 | + | 0.395155i | 0.876520 | − | 0.481365i | \(-0.159859\pi\) |
−0.481365 | + | 0.876520i | \(0.659859\pi\) | |||||||
\(308\) | − | 11.8258i | − | 0.673837i | ||||||
\(309\) | −0.0717542 | + | 4.17883i | −0.00408195 | + | 0.237725i | ||||
\(310\) | 3.42487 | + | 3.42487i | 0.194520 | + | 0.194520i | ||||
\(311\) | −7.54546 | + | 13.0691i | −0.427864 | + | 0.741082i | −0.996683 | − | 0.0813809i | \(-0.974067\pi\) |
0.568819 | + | 0.822462i | \(0.307400\pi\) | |||||||
\(312\) | −3.66336 | − | 5.05765i | −0.207397 | − | 0.286333i | ||||
\(313\) | −13.2146 | − | 22.8883i | −0.746933 | − | 1.29373i | −0.949286 | − | 0.314413i | \(-0.898192\pi\) |
0.202353 | − | 0.979313i | \(-0.435141\pi\) | |||||||
\(314\) | 2.65170 | − | 9.89627i | 0.149644 | − | 0.558479i | ||||
\(315\) | −10.3008 | + | 5.48457i | −0.580387 | + | 0.309020i | ||||
\(316\) | −9.10187 | − | 5.25497i | −0.512020 | − | 0.295615i | ||||
\(317\) | −7.90095 | + | 29.4867i | −0.443761 | + | 1.65614i | 0.275425 | + | 0.961323i | \(0.411182\pi\) |
−0.719186 | + | 0.694817i | \(0.755485\pi\) | |||||||
\(318\) | 3.40747 | − | 3.29243i | 0.191082 | − | 0.184630i | ||||
\(319\) | 9.14912 | − | 34.1450i | 0.512253 | − | 1.91175i | ||||
\(320\) | 0.491075 | + | 1.83272i | 0.0274519 | + | 0.102452i | ||||
\(321\) | 20.5034 | + | 12.3118i | 1.14439 | + | 0.687177i | ||||
\(322\) | −10.5371 | − | 6.08359i | −0.587209 | − | 0.339025i | ||||
\(323\) | −9.39086 | − | 2.51627i | −0.522521 | − | 0.140009i | ||||
\(324\) | −7.46705 | − | 5.02425i | −0.414836 | − | 0.279125i | ||||
\(325\) | 4.99739 | + | 0.711210i | 0.277206 | + | 0.0394509i | ||||
\(326\) | −13.9287 | + | 8.04176i | −0.771441 | + | 0.445392i | ||||
\(327\) | 20.0991 | + | 5.75715i | 1.11148 | + | 0.318371i | ||||
\(328\) | 11.1998 | 0.618405 | ||||||||
\(329\) | −5.80323 | − | 10.0515i | −0.319942 | − | 0.554156i | ||||
\(330\) | 5.21979 | − | 18.2231i | 0.287340 | − | 1.00315i | ||||
\(331\) | −7.44027 | + | 7.44027i | −0.408954 | + | 0.408954i | −0.881374 | − | 0.472420i | \(-0.843381\pi\) |
0.472420 | + | 0.881374i | \(0.343381\pi\) | |||||||
\(332\) | −0.723746 | − | 2.70106i | −0.0397207 | − | 0.148240i | ||||
\(333\) | −4.63186 | − | 4.96141i | −0.253824 | − | 0.271884i | ||||
\(334\) | 2.83072 | − | 4.90295i | 0.154890 | − | 0.268277i | ||||
\(335\) | 13.1492 | − | 22.7751i | 0.718417 | − | 1.24433i | ||||
\(336\) | 2.46749 | + | 2.55371i | 0.134613 | + | 0.139316i | ||||
\(337\) | 0.605437 | + | 0.349549i | 0.0329803 | + | 0.0190412i | 0.516399 | − | 0.856348i | \(-0.327272\pi\) |
−0.483419 | + | 0.875389i | \(0.660605\pi\) | |||||||
\(338\) | −6.26291 | − | 11.3919i | −0.340657 | − | 0.619639i | ||||
\(339\) | 13.6346 | + | 8.18723i | 0.740531 | + | 0.444670i | ||||
\(340\) | −1.09324 | − | 4.08004i | −0.0592895 | − | 0.221271i | ||||
\(341\) | −12.7518 | + | 7.36226i | −0.690549 | + | 0.398689i | ||||
\(342\) | 13.0936 | + | 0.449789i | 0.708018 | + | 0.0243218i | ||||
\(343\) | −14.2023 | + | 14.2023i | −0.766855 | + | 0.766855i | ||||
\(344\) | 4.19325 | + | 4.19325i | 0.226085 | + | 0.226085i | ||||
\(345\) | −13.5520 | − | 14.0256i | −0.729617 | − | 0.755111i | ||||
\(346\) | −10.8343 | + | 2.90303i | −0.582454 | + | 0.156068i | ||||
\(347\) | 20.0278 | − | 11.5630i | 1.07515 | − | 0.620737i | 0.145564 | − | 0.989349i | \(-0.453500\pi\) |
0.929583 | + | 0.368612i | \(0.120167\pi\) | |||||||
\(348\) | 5.14878 | + | 9.28242i | 0.276003 | + | 0.497590i | ||||
\(349\) | 3.12934 | − | 0.838505i | 0.167510 | − | 0.0448842i | −0.174089 | − | 0.984730i | \(-0.555698\pi\) |
0.341599 | + | 0.939846i | \(0.389031\pi\) | |||||||
\(350\) | −2.87027 | −0.153422 | ||||||||
\(351\) | −14.1286 | − | 12.3038i | −0.754127 | − | 0.656729i | ||||
\(352\) | −5.76811 | −0.307441 | ||||||||
\(353\) | −11.0229 | + | 2.95358i | −0.586690 | + | 0.157203i | −0.539940 | − | 0.841704i | \(-0.681553\pi\) |
−0.0467497 | + | 0.998907i | \(0.514886\pi\) | |||||||
\(354\) | 5.53405 | + | 9.97701i | 0.294132 | + | 0.530272i | ||||
\(355\) | 10.9456 | − | 6.31946i | 0.580934 | − | 0.335402i | ||||
\(356\) | −12.7827 | + | 3.42511i | −0.677482 | + | 0.181531i | ||||
\(357\) | −5.49320 | − | 5.68514i | −0.290731 | − | 0.300889i | ||||
\(358\) | −7.88369 | − | 7.88369i | −0.416666 | − | 0.416666i | ||||
\(359\) | 20.7218 | − | 20.7218i | 1.09366 | − | 1.09366i | 0.0985204 | − | 0.995135i | \(-0.468589\pi\) |
0.995135 | − | 0.0985204i | \(-0.0314110\pi\) | |||||||
\(360\) | 2.67514 | + | 5.02431i | 0.140992 | + | 0.264804i | ||||
\(361\) | −0.0619225 | + | 0.0357510i | −0.00325908 | + | 0.00188163i | ||||
\(362\) | 0.521677 | + | 1.94693i | 0.0274187 | + | 0.102328i | ||||
\(363\) | 33.0706 | + | 19.8580i | 1.73576 | + | 1.04228i | ||||
\(364\) | 4.43840 | + | 5.91133i | 0.232635 | + | 0.309838i | ||||
\(365\) | −13.9969 | − | 8.08113i | −0.732633 | − | 0.422986i | ||||
\(366\) | 10.6748 | + | 11.0478i | 0.557983 | + | 0.577480i | ||||
\(367\) | 6.15156 | − | 10.6548i | 0.321109 | − | 0.556177i | −0.659608 | − | 0.751610i | \(-0.729278\pi\) |
0.980717 | + | 0.195433i | \(0.0626111\pi\) | |||||||
\(368\) | −2.96731 | + | 5.13954i | −0.154682 | + | 0.267917i | ||||
\(369\) | 32.7339 | − | 7.57681i | 1.70406 | − | 0.394433i | ||||
\(370\) | 1.11105 | + | 4.14650i | 0.0577608 | + | 0.215566i | ||||
\(371\) | −3.96587 | + | 3.96587i | −0.205898 | + | 0.205898i | ||||
\(372\) | 1.21752 | − | 4.25055i | 0.0631254 | − | 0.220381i | ||||
\(373\) | −14.1688 | − | 24.5411i | −0.733633 | − | 1.27069i | −0.955321 | − | 0.295572i | \(-0.904490\pi\) |
0.221688 | − | 0.975118i | \(-0.428843\pi\) | |||||||
\(374\) | 12.8411 | 0.663998 | ||||||||
\(375\) | −20.2194 | − | 5.79161i | −1.04413 | − | 0.299077i | ||||
\(376\) | −4.90268 | + | 2.83056i | −0.252836 | + | 0.145975i | ||||
\(377\) | 8.24178 | + | 20.5018i | 0.424473 | + | 1.05590i | ||||
\(378\) | 8.93943 | + | 5.79451i | 0.459795 | + | 0.298037i | ||||
\(379\) | −17.5171 | − | 4.69369i | −0.899793 | − | 0.241099i | −0.220866 | − | 0.975304i | \(-0.570888\pi\) |
−0.678927 | + | 0.734206i | \(0.737555\pi\) | |||||||
\(380\) | −7.17587 | − | 4.14299i | −0.368114 | − | 0.212531i | ||||
\(381\) | −13.2679 | − | 7.96704i | −0.679736 | − | 0.408164i | ||||
\(382\) | 0.145254 | + | 0.542094i | 0.00743182 | + | 0.0277359i | ||||
\(383\) | −5.23117 | + | 19.5230i | −0.267301 | + | 0.997579i | 0.693527 | + | 0.720431i | \(0.256056\pi\) |
−0.960827 | + | 0.277148i | \(0.910611\pi\) | |||||||
\(384\) | 1.24559 | − | 1.20354i | 0.0635638 | − | 0.0614178i | ||||
\(385\) | −5.80735 | + | 21.6733i | −0.295970 | + | 1.10457i | ||||
\(386\) | 7.72646 | + | 4.46087i | 0.393266 | + | 0.227052i | ||||
\(387\) | 15.0925 | + | 9.41892i | 0.767195 | + | 0.478791i | ||||
\(388\) | −1.62163 | + | 6.05201i | −0.0823259 | + | 0.307244i | ||||
\(389\) | 13.1281 | + | 22.7385i | 0.665620 | + | 1.15289i | 0.979117 | + | 0.203298i | \(0.0651660\pi\) |
−0.313497 | + | 0.949589i | \(0.601501\pi\) | |||||||
\(390\) | 4.23021 | + | 11.0682i | 0.214205 | + | 0.560461i | ||||
\(391\) | 6.60591 | − | 11.4418i | 0.334075 | − | 0.578635i | ||||
\(392\) | 1.97755 | + | 1.97755i | 0.0998813 | + | 0.0998813i | ||||
\(393\) | 0.555267 | − | 32.3377i | 0.0280095 | − | 1.63122i | ||||
\(394\) | − | 9.73891i | − | 0.490639i | ||||||
\(395\) | 14.1006 | + | 14.1006i | 0.709477 | + | 0.709477i | ||||
\(396\) | −16.8586 | + | 3.90221i | −0.847177 | + | 0.196093i | ||||
\(397\) | −29.4918 | + | 7.90232i | −1.48015 | + | 0.396606i | −0.906399 | − | 0.422422i | \(-0.861180\pi\) |
−0.573754 | + | 0.819028i | \(0.694513\pi\) | |||||||
\(398\) | 8.27594 | + | 2.21753i | 0.414835 | + | 0.111155i | ||||
\(399\) | −15.5055 | − | 0.266243i | −0.776245 | − | 0.0133288i | ||||
\(400\) | 1.39999i | 0.0699997i | ||||||||
\(401\) | 2.17000 | − | 2.17000i | 0.108364 | − | 0.108364i | −0.650846 | − | 0.759210i | \(-0.725586\pi\) |
0.759210 | + | 0.650846i | \(0.225586\pi\) | |||||||
\(402\) | −24.0035 | − | 0.412161i | −1.19718 | − | 0.0205567i | ||||
\(403\) | 3.61105 | − | 8.46610i | 0.179879 | − | 0.421727i | ||||
\(404\) | − | 3.52832i | − | 0.175540i | ||||||
\(405\) | 11.2177 | + | 12.8749i | 0.557412 | + | 0.639760i | ||||
\(406\) | −6.28226 | − | 10.8812i | −0.311783 | − | 0.540025i | ||||
\(407\) | −13.0503 | −0.646879 | ||||||||
\(408\) | −2.77297 | + | 2.67935i | −0.137282 | + | 0.132647i | ||||
\(409\) | 17.7258 | + | 4.74963i | 0.876487 | + | 0.234854i | 0.668891 | − | 0.743361i | \(-0.266769\pi\) |
0.207596 | + | 0.978215i | \(0.433436\pi\) | |||||||
\(410\) | −20.5260 | − | 5.49994i | −1.01371 | − | 0.271623i | ||||
\(411\) | −17.2038 | − | 4.92782i | −0.848601 | − | 0.243072i | ||||
\(412\) | −2.41300 | −0.118880 | ||||||||
\(413\) | −6.75236 | − | 11.6954i | −0.332262 | − | 0.575494i | ||||
\(414\) | −5.19568 | + | 17.0289i | −0.255354 | + | 0.836924i | ||||
\(415\) | 5.30568i | 0.260446i | ||||||||
\(416\) | 2.88329 | − | 2.16486i | 0.141365 | − | 0.106141i | ||||
\(417\) | 16.6678 | − | 27.7577i | 0.816226 | − | 1.35930i | ||||
\(418\) | 17.8119 | − | 17.8119i | 0.871210 | − | 0.871210i | ||||
\(419\) | 19.0261i | 0.929486i | 0.885446 | + | 0.464743i | \(0.153853\pi\) | ||||
−0.885446 | + | 0.464743i | \(0.846147\pi\) | |||||||
\(420\) | −3.26815 | − | 5.89196i | −0.159470 | − | 0.287498i | ||||
\(421\) | −30.5835 | − | 8.19483i | −1.49055 | − | 0.399392i | −0.580628 | − | 0.814169i | \(-0.697193\pi\) |
−0.909923 | + | 0.414777i | \(0.863859\pi\) | |||||||
\(422\) | −12.4058 | + | 3.32413i | −0.603906 | + | 0.161816i | ||||
\(423\) | −12.4143 | + | 11.5897i | −0.603603 | + | 0.563510i | ||||
\(424\) | 1.93438 | + | 1.93438i | 0.0939418 | + | 0.0939418i | ||||
\(425\) | − | 3.11670i | − | 0.151182i | ||||||
\(426\) | −9.89143 | − | 5.93954i | −0.479241 | − | 0.287772i | ||||
\(427\) | −12.8583 | − | 12.8583i | −0.622257 | − | 0.622257i | ||||
\(428\) | −6.90393 | + | 11.9580i | −0.333714 | + | 0.578010i | ||||
\(429\) | −35.8300 | + | 3.71313i | −1.72989 | + | 0.179271i | ||||
\(430\) | −5.62584 | − | 9.74423i | −0.271302 | − | 0.469909i | ||||
\(431\) | −2.93713 | + | 10.9615i | −0.141477 | + | 0.527999i | 0.858410 | + | 0.512964i | \(0.171453\pi\) |
−0.999887 | + | 0.0150347i | \(0.995214\pi\) | |||||||
\(432\) | 2.82631 | − | 4.36027i | 0.135981 | − | 0.209784i | ||||
\(433\) | 19.3513 | + | 11.1725i | 0.929963 | + | 0.536915i | 0.886800 | − | 0.462153i | \(-0.152923\pi\) |
0.0431634 | + | 0.999068i | \(0.486256\pi\) | |||||||
\(434\) | −1.35457 | + | 5.05531i | −0.0650212 | + | 0.242663i | ||||
\(435\) | −4.87789 | − | 19.5405i | −0.233877 | − | 0.936894i | ||||
\(436\) | −3.12418 | + | 11.6596i | −0.149621 | + | 0.558393i | ||||
\(437\) | −6.70783 | − | 25.0340i | −0.320879 | − | 1.19754i | ||||
\(438\) | −0.253303 | + | 14.7519i | −0.0121033 | + | 0.704872i | ||||
\(439\) | 27.3401 | + | 15.7848i | 1.30487 | + | 0.753368i | 0.981235 | − | 0.192814i | \(-0.0617613\pi\) |
0.323636 | + | 0.946182i | \(0.395095\pi\) | |||||||
\(440\) | 10.5713 | + | 2.83258i | 0.503968 | + | 0.135038i | ||||
\(441\) | 7.11768 | + | 4.44200i | 0.338937 | + | 0.211524i | ||||
\(442\) | −6.41886 | + | 4.81946i | −0.305314 | + | 0.229239i | ||||
\(443\) | 4.41781 | − | 2.55062i | 0.209897 | − | 0.121184i | −0.391367 | − | 0.920235i | \(-0.627998\pi\) |
0.601263 | + | 0.799051i | \(0.294664\pi\) | |||||||
\(444\) | 2.81814 | − | 2.72299i | 0.133743 | − | 0.129227i | ||||
\(445\) | 25.1091 | 1.19028 | ||||||||
\(446\) | 6.03496 | + | 10.4529i | 0.285764 | + | 0.494958i | ||||
\(447\) | −9.21609 | + | 2.30061i | −0.435906 | + | 0.108815i | ||||
\(448\) | −1.44971 | + | 1.44971i | −0.0684924 | + | 0.0684924i | ||||
\(449\) | 7.26523 | + | 27.1142i | 0.342867 | + | 1.27960i | 0.895084 | + | 0.445898i | \(0.147116\pi\) |
−0.552216 | + | 0.833701i | \(0.686218\pi\) | |||||||
\(450\) | 0.947115 | + | 4.09180i | 0.0446474 | + | 0.192889i | ||||
\(451\) | 32.3008 | − | 55.9466i | 1.52099 | − | 2.63442i | ||||
\(452\) | −4.59106 | + | 7.95194i | −0.215945 | + | 0.374028i | ||||
\(453\) | 10.9405 | − | 2.73108i | 0.514031 | − | 0.128317i | ||||
\(454\) | 11.1313 | + | 6.42669i | 0.522420 | + | 0.301619i | ||||
\(455\) | −5.23142 | − | 13.0134i | −0.245253 | − | 0.610077i | ||||
\(456\) | −0.129862 | + | 7.56291i | −0.00608134 | + | 0.354166i | ||||
\(457\) | 9.22222 | + | 34.4178i | 0.431397 | + | 1.61000i | 0.749544 | + | 0.661955i | \(0.230273\pi\) |
−0.318147 | + | 0.948041i | \(0.603060\pi\) | |||||||
\(458\) | −16.8493 | + | 9.72795i | −0.787316 | + | 0.454557i | ||||
\(459\) | −6.29201 | + | 9.70694i | −0.293686 | + | 0.453081i | ||||
\(460\) | 7.96214 | − | 7.96214i | 0.371237 | − | 0.371237i | ||||
\(461\) | −12.5859 | − | 12.5859i | −0.586185 | − | 0.586185i | 0.350411 | − | 0.936596i | \(-0.386042\pi\) |
−0.936596 | + | 0.350411i | \(0.886042\pi\) | |||||||
\(462\) | 19.8730 | − | 4.96090i | 0.924577 | − | 0.230802i | ||||
\(463\) | −26.6170 | + | 7.13200i | −1.23700 | + | 0.331452i | −0.817300 | − | 0.576212i | \(-0.804530\pi\) |
−0.419696 | + | 0.907665i | \(0.637863\pi\) | |||||||
\(464\) | −5.30738 | + | 3.06422i | −0.246389 | + | 0.142253i | ||||
\(465\) | −4.31871 | + | 7.19216i | −0.200275 | + | 0.333529i | ||||
\(466\) | 3.86764 | − | 1.03633i | 0.179165 | − | 0.0480071i | ||||
\(467\) | −16.8628 | −0.780315 | −0.390158 | − | 0.920748i | \(-0.627580\pi\) | ||||
−0.390158 | + | 0.920748i | \(0.627580\pi\) | |||||||
\(468\) | 6.96252 | − | 8.27788i | 0.321843 | − | 0.382645i | ||||
\(469\) | 28.4167 | 1.31216 | ||||||||
\(470\) | 10.3752 | − | 2.78004i | 0.478574 | − | 0.128234i | ||||
\(471\) | 17.7429 | + | 0.304661i | 0.817550 | + | 0.0140381i | ||||
\(472\) | −5.70453 | + | 3.29351i | −0.262572 | + | 0.151596i | ||||
\(473\) | 33.0402 | − | 8.85310i | 1.51919 | − | 0.407066i | ||||
\(474\) | 5.01266 | − | 17.5000i | 0.230239 | − | 0.803801i | ||||
\(475\) | −4.32318 | − | 4.32318i | −0.198361 | − | 0.198361i | ||||
\(476\) | 3.22738 | − | 3.22738i | 0.147927 | − | 0.147927i | ||||
\(477\) | 6.96230 | + | 4.34503i | 0.318782 | + | 0.198945i | ||||
\(478\) | −7.94585 | + | 4.58754i | −0.363435 | + | 0.209829i | ||||
\(479\) | −9.87124 | − | 36.8400i | −0.451028 | − | 1.68326i | −0.699509 | − | 0.714624i | \(-0.746598\pi\) |
0.248480 | − | 0.968637i | \(-0.420069\pi\) | |||||||
\(480\) | −2.87384 | + | 1.59406i | −0.131172 | + | 0.0727588i | ||||
\(481\) | 6.52342 | − | 4.89797i | 0.297442 | − | 0.223328i | ||||
\(482\) | 16.7679 | + | 9.68096i | 0.763757 | + | 0.440956i | ||||
\(483\) | 5.80307 | − | 20.2594i | 0.264049 | − | 0.921836i | ||||
\(484\) | −11.1356 | + | 19.2873i | −0.506161 | + | 0.876697i | ||||
\(485\) | 5.94398 | − | 10.2953i | 0.269902 | − | 0.467485i | ||||
\(486\) | 5.31075 | − | 14.6559i | 0.240901 | − | 0.664806i | ||||
\(487\) | −3.49748 | − | 13.0528i | −0.158486 | − | 0.591478i | −0.998782 | − | 0.0493492i | \(-0.984285\pi\) |
0.840296 | − | 0.542128i | \(-0.182381\pi\) | |||||||
\(488\) | −6.27173 | + | 6.27173i | −0.283908 | + | 0.283908i | ||||
\(489\) | −19.3571 | − | 20.0335i | −0.875359 | − | 0.905945i | ||||
\(490\) | −2.65316 | − | 4.59541i | −0.119858 | − | 0.207600i | ||||
\(491\) | −30.4970 | −1.37631 | −0.688155 | − | 0.725564i | \(-0.741579\pi\) | ||||
−0.688155 | + | 0.725564i | \(0.741579\pi\) | |||||||
\(492\) | 4.69829 | + | 18.8210i | 0.211815 | + | 0.848518i | ||||
\(493\) | 11.8154 | − | 6.82164i | 0.532140 | − | 0.307231i | ||||
\(494\) | −2.21853 | + | 15.5887i | −0.0998162 | + | 0.701369i | ||||
\(495\) | 32.8133 | + | 1.12720i | 1.47485 | + | 0.0506639i | ||||
\(496\) | 2.46576 | + | 0.660699i | 0.110716 | + | 0.0296663i | ||||
\(497\) | 11.8273 | + | 6.82849i | 0.530527 | + | 0.306300i | ||||
\(498\) | 4.23547 | − | 2.34933i | 0.189796 | − | 0.105276i | ||||
\(499\) | −0.215030 | − | 0.802501i | −0.00962605 | − | 0.0359249i | 0.960946 | − | 0.276737i | \(-0.0892530\pi\) |
−0.970572 | + | 0.240812i | \(0.922586\pi\) | |||||||
\(500\) | 3.14288 | − | 11.7294i | 0.140554 | − | 0.524554i | ||||
\(501\) | 9.42680 | + | 2.70019i | 0.421158 | + | 0.120636i | ||||
\(502\) | −3.92672 | + | 14.6547i | −0.175258 | + | 0.654072i | ||||
\(503\) | −1.71989 | − | 0.992977i | −0.0766860 | − | 0.0442747i | 0.461167 | − | 0.887314i | \(-0.347431\pi\) |
−0.537853 | + | 0.843039i | \(0.680764\pi\) | |||||||
\(504\) | −3.25636 | + | 5.21786i | −0.145050 | + | 0.232422i | ||||
\(505\) | −1.73267 | + | 6.46640i | −0.0771027 | + | 0.287751i | ||||
\(506\) | 17.1158 | + | 29.6454i | 0.760890 | + | 1.31790i | ||||
\(507\) | 16.5167 | − | 15.3036i | 0.733530 | − | 0.679657i | ||||
\(508\) | 4.46758 | − | 7.73808i | 0.198217 | − | 0.343322i | ||||
\(509\) | −12.0729 | − | 12.0729i | −0.535122 | − | 0.535122i | 0.386970 | − | 0.922092i | \(-0.373522\pi\) |
−0.922092 | + | 0.386970i | \(0.873522\pi\) | |||||||
\(510\) | 6.39782 | − | 3.54875i | 0.283300 | − | 0.157141i | ||||
\(511\) | − | 17.4641i | − | 0.772568i | ||||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 4.73686 | + | 22.1922i | 0.209138 | + | 0.979808i | ||||
\(514\) | 6.88691 | − | 1.84534i | 0.303768 | − | 0.0813945i | ||||
\(515\) | 4.42235 | + | 1.18497i | 0.194872 | + | 0.0522158i | ||||
\(516\) | −5.28762 | + | 8.80574i | −0.232774 | + | 0.387651i | ||||
\(517\) | 32.6540i | 1.43612i | ||||||||
\(518\) | −3.27996 | + | 3.27996i | −0.144113 | + | 0.144113i | ||||
\(519\) | −9.42346 | − | 16.9890i | −0.413644 | − | 0.745734i | ||||
\(520\) | −6.34737 | + | 2.55166i | −0.278351 | + | 0.111898i | ||||
\(521\) | − | 14.9970i | − | 0.657030i | −0.944499 | − | 0.328515i | \(-0.893452\pi\) | ||
0.944499 | − | 0.328515i | \(-0.106548\pi\) | |||||||
\(522\) | −13.4390 | + | 12.5464i | −0.588211 | + | 0.549141i | ||||
\(523\) | −18.1632 | − | 31.4596i | −0.794221 | − | 1.37563i | −0.923333 | − | 0.384001i | \(-0.874546\pi\) |
0.129112 | − | 0.991630i | \(-0.458787\pi\) | |||||||
\(524\) | 18.6729 | 0.815731 | ||||||||
\(525\) | −1.20407 | − | 4.82344i | −0.0525501 | − | 0.210512i | ||||
\(526\) | −9.99351 | − | 2.67775i | −0.435738 | − | 0.116756i | ||||
\(527\) | −5.48934 | − | 1.47087i | −0.239120 | − | 0.0640719i | ||||
\(528\) | −2.41971 | − | 9.69321i | −0.105305 | − | 0.421843i | ||||
\(529\) | 12.2198 | 0.531295 | ||||||||
\(530\) | −2.59524 | − | 4.49510i | −0.112730 | − | 0.195254i | ||||
\(531\) | −14.4447 | + | 13.4852i | −0.626845 | + | 0.585209i | ||||
\(532\) | − | 8.95342i | − | 0.388180i | ||||||
\(533\) | 4.85149 | + | 40.0889i | 0.210141 | + | 1.73644i | ||||
\(534\) | −11.1182 | − | 20.0443i | −0.481130 | − | 0.867400i | ||||
\(535\) | 18.5252 | − | 18.5252i | 0.800915 | − | 0.800915i | ||||
\(536\) | − | 13.8604i | − | 0.598680i | ||||||
\(537\) | 9.94121 | − | 16.5556i | 0.428995 | − | 0.714427i | ||||
\(538\) | 18.8570 | + | 5.05273i | 0.812985 | + | 0.217839i | ||||
\(539\) | 15.5819 | − | 4.17515i | 0.671159 | − | 0.179836i | ||||
\(540\) | −7.32105 | + | 6.60321i | −0.315048 | + | 0.284157i | ||||
\(541\) | −12.6107 | − | 12.6107i | −0.542176 | − | 0.542176i | 0.381990 | − | 0.924166i | \(-0.375239\pi\) |
−0.924166 | + | 0.381990i | \(0.875239\pi\) | |||||||
\(542\) | − | 16.1830i | − | 0.695121i | ||||||
\(543\) | −3.05293 | + | 1.69340i | −0.131014 | + | 0.0726708i | ||||
\(544\) | −1.57418 | − | 1.57418i | −0.0674924 | − | 0.0674924i | ||||
\(545\) | 11.4515 | − | 19.8345i | 0.490527 | − | 0.849618i | ||||
\(546\) | −8.07199 | + | 9.93844i | −0.345449 | + | 0.425326i | ||||
\(547\) | 3.89564 | + | 6.74745i | 0.166566 | + | 0.288500i | 0.937210 | − | 0.348765i | \(-0.113399\pi\) |
−0.770644 | + | 0.637265i | \(0.780066\pi\) | |||||||
\(548\) | 2.67413 | − | 9.98001i | 0.114233 | − | 0.426325i | ||||
\(549\) | −14.0876 | + | 22.5735i | −0.601245 | + | 0.963411i | ||||
\(550\) | 6.99343 | + | 4.03766i | 0.298201 | + | 0.172166i | ||||
\(551\) | 6.92689 | − | 25.8515i | 0.295095 | − | 1.10131i | ||||
\(552\) | −9.88168 | − | 2.83049i | −0.420592 | − | 0.120474i | ||||
\(553\) | −5.57690 | + | 20.8133i | −0.237154 | + | 0.885070i | ||||
\(554\) | −7.98136 | − | 29.7869i | −0.339096 | − | 1.26552i | ||||
\(555\) | −6.50204 | + | 3.60656i | −0.275996 | + | 0.153090i | ||||
\(556\) | 16.1888 | + | 9.34661i | 0.686558 | + | 0.396384i | ||||
\(557\) | 18.3374 | + | 4.91350i | 0.776982 | + | 0.208192i | 0.625454 | − | 0.780261i | \(-0.284914\pi\) |
0.151528 | + | 0.988453i | \(0.451581\pi\) | |||||||
\(558\) | 7.65372 | + | 0.262920i | 0.324008 | + | 0.0111303i | ||||
\(559\) | −13.1930 | + | 16.8259i | −0.558006 | + | 0.711659i | ||||
\(560\) | 3.36883 | − | 1.94499i | 0.142359 | − | 0.0821909i | ||||
\(561\) | 5.38683 | + | 21.5793i | 0.227432 | + | 0.911077i | ||||
\(562\) | 9.09665 | 0.383719 | ||||||||
\(563\) | 14.6652 | + | 25.4009i | 0.618066 | + | 1.07052i | 0.989838 | + | 0.142198i | \(0.0454169\pi\) |
−0.371772 | + | 0.928324i | \(0.621250\pi\) | |||||||
\(564\) | −6.81338 | − | 7.05145i | −0.286895 | − | 0.296920i | ||||
\(565\) | 12.3191 | − | 12.3191i | 0.518269 | − | 0.518269i | ||||
\(566\) | 4.44083 | + | 16.5734i | 0.186662 | + | 0.696632i | ||||
\(567\) | −5.98749 | + | 17.4533i | −0.251451 | + | 0.732971i | ||||
\(568\) | 3.33065 | − | 5.76885i | 0.139751 | − | 0.242056i | ||||
\(569\) | −2.33915 | + | 4.05152i | −0.0980622 | + | 0.169849i | −0.910883 | − | 0.412666i | \(-0.864598\pi\) |
0.812820 | + | 0.582515i | \(0.197931\pi\) | |||||||
\(570\) | 3.95196 | − | 13.7969i | 0.165529 | − | 0.577889i | ||||
\(571\) | −1.98594 | − | 1.14658i | −0.0831088 | − | 0.0479829i | 0.457870 | − | 0.889019i | \(-0.348613\pi\) |
−0.540978 | + | 0.841036i | \(0.681946\pi\) | |||||||
\(572\) | −2.49861 | − | 20.6466i | −0.104472 | − | 0.863277i | ||||
\(573\) | −0.850045 | + | 0.471503i | −0.0355111 | + | 0.0196973i | ||||
\(574\) | −5.94296 | − | 22.1794i | −0.248054 | − | 0.925751i | ||||
\(575\) | 7.19532 | − | 4.15422i | 0.300066 | − | 0.173243i | ||||
\(576\) | 2.54505 | + | 1.58831i | 0.106044 | + | 0.0661797i | ||||
\(577\) | 13.7676 | − | 13.7676i | 0.573154 | − | 0.573154i | −0.359854 | − | 0.933008i | \(-0.617174\pi\) |
0.933008 | + | 0.359854i | \(0.117174\pi\) | |||||||
\(578\) | −8.51634 | − | 8.51634i | −0.354233 | − | 0.354233i | ||||
\(579\) | −4.25518 | + | 14.8555i | −0.176839 | + | 0.617374i | ||||
\(580\) | 11.2317 | − | 3.00952i | 0.466371 | − | 0.124964i | ||||
\(581\) | −4.96497 | + | 2.86653i | −0.205982 | + | 0.118924i | ||||
\(582\) | −10.8506 | − | 0.186314i | −0.449771 | − | 0.00772296i | ||||
\(583\) | 15.2417 | − | 4.08401i | 0.631248 | − | 0.169142i | ||||
\(584\) | −8.51825 | −0.352488 | ||||||||
\(585\) | −16.8254 | + | 11.7519i | −0.695644 | + | 0.485881i | ||||
\(586\) | −10.4836 | −0.433075 | ||||||||
\(587\) | −17.2487 | + | 4.62178i | −0.711931 | + | 0.190761i | −0.596569 | − | 0.802562i | \(-0.703470\pi\) |
−0.115363 | + | 0.993323i | \(0.536803\pi\) | |||||||
\(588\) | −2.49366 | + | 4.15282i | −0.102837 | + | 0.171259i | ||||
\(589\) | −9.65452 | + | 5.57404i | −0.397807 | + | 0.229674i | ||||
\(590\) | 12.0721 | − | 3.23472i | 0.497002 | − | 0.133171i | ||||
\(591\) | 16.3661 | − | 4.08546i | 0.673210 | − | 0.168053i | ||||
\(592\) | 1.59982 | + | 1.59982i | 0.0657523 | + | 0.0657523i | ||||
\(593\) | 1.54480 | − | 1.54480i | 0.0634372 | − | 0.0634372i | −0.674676 | − | 0.738114i | \(-0.735717\pi\) |
0.738114 | + | 0.674676i | \(0.235717\pi\) | |||||||
\(594\) | −13.6298 | − | 26.6936i | −0.559235 | − | 1.09525i | ||||
\(595\) | −7.49977 | + | 4.32999i | −0.307460 | + | 0.177512i | ||||
\(596\) | −1.41941 | − | 5.29732i | −0.0581414 | − | 0.216987i | ||||
\(597\) | −0.254778 | + | 14.8378i | −0.0104274 | + | 0.607271i | ||||
\(598\) | −19.6820 | − | 8.39498i | −0.804857 | − | 0.343296i | ||||
\(599\) | 6.23611 | + | 3.60042i | 0.254801 | + | 0.147109i | 0.621960 | − | 0.783049i | \(-0.286336\pi\) |
−0.367160 | + | 0.930158i | \(0.619670\pi\) | |||||||
\(600\) | −2.35266 | + | 0.587295i | −0.0960471 | + | 0.0239762i | ||||
\(601\) | −3.81318 | + | 6.60462i | −0.155543 | + | 0.269408i | −0.933257 | − | 0.359211i | \(-0.883046\pi\) |
0.777714 | + | 0.628619i | \(0.216379\pi\) | |||||||
\(602\) | 6.07899 | − | 10.5291i | 0.247761 | − | 0.429135i | ||||
\(603\) | −9.37678 | − | 40.5103i | −0.381852 | − | 1.64971i | ||||
\(604\) | 1.68500 | + | 6.28851i | 0.0685618 | + | 0.255876i | ||||
\(605\) | 29.8798 | − | 29.8798i | 1.21479 | − | 1.21479i | ||||
\(606\) | 5.92927 | − | 1.48012i | 0.240860 | − | 0.0601259i | ||||
\(607\) | 20.9414 | + | 36.2716i | 0.849987 | + | 1.47222i | 0.881219 | + | 0.472708i | \(0.156724\pi\) |
−0.0312320 | + | 0.999512i | \(0.509943\pi\) | |||||||
\(608\) | −4.36709 | −0.177109 | ||||||||
\(609\) | 15.6503 | − | 15.1219i | 0.634181 | − | 0.612769i | ||||
\(610\) | 14.5742 | − | 8.41441i | 0.590092 | − | 0.340690i | ||||
\(611\) | −12.2555 | − | 16.3227i | −0.495806 | − | 0.660346i | ||||
\(612\) | −5.66585 | − | 3.53594i | −0.229028 | − | 0.142932i | ||||
\(613\) | −27.6735 | − | 7.41508i | −1.11772 | − | 0.299492i | −0.347760 | − | 0.937584i | \(-0.613058\pi\) |
−0.769961 | + | 0.638091i | \(0.779724\pi\) | |||||||
\(614\) | −8.47974 | − | 4.89578i | −0.342215 | − | 0.197578i | ||||
\(615\) | 0.631904 | − | 36.8009i | 0.0254808 | − | 1.48395i | ||||
\(616\) | 3.06074 | + | 11.4228i | 0.123321 | + | 0.460239i | ||||
\(617\) | 2.55572 | − | 9.53809i | 0.102890 | − | 0.383989i | −0.895208 | − | 0.445649i | \(-0.852973\pi\) |
0.998097 | + | 0.0616601i | \(0.0196395\pi\) | |||||||
\(618\) | −1.01225 | − | 4.05501i | −0.0407187 | − | 0.163116i | ||||
\(619\) | −10.1033 | + | 37.7062i | −0.406088 | + | 1.51554i | 0.395953 | + | 0.918271i | \(0.370414\pi\) |
−0.802041 | + | 0.597269i | \(0.796252\pi\) | |||||||
\(620\) | −4.19459 | − | 2.42175i | −0.168459 | − | 0.0972598i | ||||
\(621\) | −30.7963 | − | 1.58765i | −1.23581 | − | 0.0637102i | ||||
\(622\) | 3.90582 | − | 14.5767i | 0.156609 | − | 0.584473i | ||||
\(623\) | 13.5658 | + | 23.4966i | 0.543502 | + | 0.941373i | ||||
\(624\) | 4.84755 | + | 3.93717i | 0.194057 | + | 0.157613i | ||||
\(625\) | −8.02002 | + | 13.8911i | −0.320801 | + | 0.555644i | ||||
\(626\) | 18.6883 | + | 18.6883i | 0.746933 | + | 0.746933i | ||||
\(627\) | 37.4047 | + | 22.4606i | 1.49380 | + | 0.896988i | ||||
\(628\) | 10.2454i | 0.408835i | ||||||||
\(629\) | −3.56156 | − | 3.56156i | −0.142009 | − | 0.142009i | ||||
\(630\) | 8.53034 | − | 7.96374i | 0.339857 | − | 0.317283i | ||||
\(631\) | −28.3493 | + | 7.59618i | −1.12857 | + | 0.302399i | −0.774346 | − | 0.632762i | \(-0.781921\pi\) |
−0.354223 | + | 0.935161i | \(0.615254\pi\) | |||||||
\(632\) | 10.1518 | + | 2.72017i | 0.403818 | + | 0.108203i | ||||
\(633\) | −10.7904 | − | 19.4533i | −0.428879 | − | 0.773200i | ||||
\(634\) | − | 30.5269i | − | 1.21238i | ||||||
\(635\) | −11.9878 | + | 11.9878i | −0.475721 | + | 0.475721i | ||||
\(636\) | −2.43922 | + | 4.06216i | −0.0967214 | + | 0.161075i | ||||
\(637\) | −6.22188 | + | 7.93514i | −0.246520 | + | 0.314402i | ||||
\(638\) | 35.3495i | 1.39950i | ||||||||
\(639\) | 5.83186 | − | 19.1140i | 0.230705 | − | 0.756138i | ||||
\(640\) | −0.948684 | − | 1.64317i | −0.0375000 | − | 0.0649520i | ||||
\(641\) | −13.5860 | −0.536616 | −0.268308 | − | 0.963333i | \(-0.586465\pi\) | ||||
−0.268308 | + | 0.963333i | \(0.586465\pi\) | |||||||
\(642\) | −22.9913 | − | 6.58559i | −0.907395 | − | 0.259912i | ||||
\(643\) | −18.1514 | − | 4.86366i | −0.715822 | − | 0.191804i | −0.117515 | − | 0.993071i | \(-0.537493\pi\) |
−0.598307 | + | 0.801267i | \(0.704160\pi\) | |||||||
\(644\) | 11.7526 | + | 3.14910i | 0.463117 | + | 0.124092i | ||||
\(645\) | 14.0150 | − | 13.5418i | 0.551839 | − | 0.533208i | ||||
\(646\) | 9.72213 | 0.382512 | ||||||||
\(647\) | −11.7916 | − | 20.4237i | −0.463576 | − | 0.802937i | 0.535560 | − | 0.844497i | \(-0.320101\pi\) |
−0.999136 | + | 0.0415601i | \(0.986767\pi\) | |||||||
\(648\) | 8.51299 | + | 2.92044i | 0.334422 | + | 0.114726i | ||||
\(649\) | 37.9947i | 1.49142i | ||||||||
\(650\) | −5.01119 | + | 0.606444i | −0.196555 | + | 0.0237867i | ||||
\(651\) | −9.06360 | − | 0.155630i | −0.355230 | − | 0.00609962i | ||||
\(652\) | 11.3728 | − | 11.3728i | 0.445392 | − | 0.445392i | ||||
\(653\) | 38.2655i | 1.49744i | 0.662884 | + | 0.748722i | \(0.269332\pi\) | ||||
−0.662884 | + | 0.748722i | \(0.730668\pi\) | |||||||
\(654\) | −20.9043 | − | 0.358946i | −0.817424 | − | 0.0140359i | ||||
\(655\) | −34.2222 | − | 9.16981i | −1.33717 | − | 0.358294i | ||||
\(656\) | −10.8182 | + | 2.89872i | −0.422378 | + | 0.113176i | ||||
\(657\) | −24.8965 | + | 5.76272i | −0.971306 | + | 0.224825i | ||||
\(658\) | 8.20700 | + | 8.20700i | 0.319942 | + | 0.319942i | ||||
\(659\) | − | 36.7491i | − | 1.43154i | −0.698335 | − | 0.715771i | \(-0.746075\pi\) | ||
0.698335 | − | 0.715771i | \(-0.253925\pi\) | |||||||
\(660\) | −0.325443 | + | 18.9532i | −0.0126678 | + | 0.737751i | ||||
\(661\) | −4.17485 | − | 4.17485i | −0.162383 | − | 0.162383i | 0.621239 | − | 0.783621i | \(-0.286630\pi\) |
−0.783621 | + | 0.621239i | \(0.786630\pi\) | |||||||
\(662\) | 5.26107 | − | 9.11243i | 0.204477 | − | 0.354165i | ||||
\(663\) | −10.7917 | − | 8.76503i | −0.419116 | − | 0.340405i | ||||
\(664\) | 1.39817 | + | 2.42170i | 0.0542595 | + | 0.0939802i | ||||
\(665\) | −4.39680 | + | 16.4091i | −0.170501 | + | 0.636317i | ||||
\(666\) | 5.75814 | + | 3.59354i | 0.223123 | + | 0.139247i | ||||
\(667\) | 31.4973 | + | 18.1850i | 1.21958 | + | 0.704126i | ||||
\(668\) | −1.46529 | + | 5.46853i | −0.0566937 | + | 0.211584i | ||||
\(669\) | −15.0342 | + | 14.5266i | −0.581256 | + | 0.561631i | ||||
\(670\) | −6.80652 | + | 25.4023i | −0.262959 | + | 0.981375i | ||||
\(671\) | 13.2413 | + | 49.4174i | 0.511176 | + | 1.90774i | ||||
\(672\) | −3.04436 | − | 1.82806i | −0.117439 | − | 0.0705190i | ||||
\(673\) | 18.5818 | + | 10.7282i | 0.716277 | + | 0.413543i | 0.813381 | − | 0.581732i | \(-0.197625\pi\) |
−0.0971040 | + | 0.995274i | \(0.530958\pi\) | |||||||
\(674\) | −0.675277 | − | 0.180940i | −0.0260107 | − | 0.00696955i | ||||
\(675\) | −6.47888 | + | 3.30811i | −0.249372 | + | 0.127329i | ||||
\(676\) | 8.99795 | + | 9.38280i | 0.346075 | + | 0.360877i | ||||
\(677\) | 12.9054 | − | 7.45094i | 0.495995 | − | 0.286363i | −0.231063 | − | 0.972939i | \(-0.574220\pi\) |
0.727058 | + | 0.686576i | \(0.240887\pi\) | |||||||
\(678\) | −15.2890 | − | 4.37936i | −0.587172 | − | 0.168188i | ||||
\(679\) | 12.8455 | 0.492967 | ||||||||
\(680\) | 2.11198 | + | 3.65806i | 0.0809909 | + | 0.140280i | ||||
\(681\) | −6.13035 | + | 21.4020i | −0.234915 | + | 0.820127i | ||||
\(682\) | 10.4118 | − | 10.4118i | 0.398689 | − | 0.398689i | ||||
\(683\) | 6.54752 | + | 24.4357i | 0.250534 | + | 0.935005i | 0.970521 | + | 0.241018i | \(0.0774811\pi\) |
−0.719987 | + | 0.693988i | \(0.755852\pi\) | |||||||
\(684\) | −12.7638 | + | 2.95440i | −0.488037 | + | 0.112964i | ||||
\(685\) | −9.80186 | + | 16.9773i | −0.374510 | + | 0.648670i | ||||
\(686\) | 10.0426 | − | 17.3943i | 0.383427 | − | 0.664116i | ||||
\(687\) | −23.4159 | − | 24.2341i | −0.893373 | − | 0.924589i | ||||
\(688\) | −5.13566 | − | 2.96507i | −0.195795 | − | 0.113042i | ||||
\(689\) | −6.08606 | + | 7.76192i | −0.231860 | + | 0.295705i | ||||
\(690\) | 16.7203 | + | 10.0401i | 0.636533 | + | 0.382221i | ||||
\(691\) | 9.88451 | + | 36.8895i | 0.376025 | + | 1.40334i | 0.851842 | + | 0.523799i | \(0.175486\pi\) |
−0.475817 | + | 0.879544i | \(0.657848\pi\) | |||||||
\(692\) | 9.71374 | − | 5.60823i | 0.369261 | − | 0.213193i | ||||
\(693\) | 16.6734 | + | 31.3152i | 0.633370 | + | 1.18957i | ||||
\(694\) | −16.3526 | + | 16.3526i | −0.620737 | + | 0.620737i | ||||
\(695\) | −25.0796 | − | 25.0796i | −0.951323 | − | 0.951323i | ||||
\(696\) | −7.37580 | − | 7.63353i | −0.279579 | − | 0.289348i | ||||
\(697\) | 24.0837 | − | 6.45320i | 0.912234 | − | 0.244432i | ||||
\(698\) | −2.80569 | + | 1.61987i | −0.106197 | + | 0.0613129i | ||||
\(699\) | 3.36400 | + | 6.06476i | 0.127238 | + | 0.229390i | ||||
\(700\) | 2.77247 | − | 0.742880i | 0.104789 | − | 0.0280782i | ||||
\(701\) | 5.62024 | 0.212274 | 0.106137 | − | 0.994352i | \(-0.466152\pi\) | ||||
0.106137 | + | 0.994352i | \(0.466152\pi\) | |||||||
\(702\) | 16.8316 | + | 8.22784i | 0.635268 | + | 0.310540i | ||||
\(703\) | −9.88050 | −0.372650 | ||||||||
\(704\) | 5.57157 | − | 1.49290i | 0.209986 | − | 0.0562657i | ||||
\(705\) | 9.02421 | + | 16.2692i | 0.339871 | + | 0.612733i | ||||
\(706\) | 9.88286 | − | 5.70587i | 0.371946 | − | 0.214743i | ||||
\(707\) | −6.98727 | + | 1.87223i | −0.262783 | + | 0.0704126i | ||||
\(708\) | −7.92773 | − | 8.20474i | −0.297942 | − | 0.308353i | ||||
\(709\) | −6.16652 | − | 6.16652i | −0.231588 | − | 0.231588i | 0.581767 | − | 0.813355i | \(-0.302362\pi\) |
−0.813355 | + | 0.581767i | \(0.802362\pi\) | |||||||
\(710\) | −8.93707 | + | 8.93707i | −0.335402 | + | 0.335402i | ||||
\(711\) | 31.5112 | + | 1.08247i | 1.18176 | + | 0.0405958i | ||||
\(712\) | 11.4607 | − | 6.61681i | 0.429506 | − | 0.247976i | ||||
\(713\) | −3.92100 | − | 14.6334i | −0.146843 | − | 0.548024i | ||||
\(714\) | 6.77744 | + | 4.06968i | 0.253639 | + | 0.152304i | ||||
\(715\) | −5.55977 | + | 39.0663i | −0.207924 | + | 1.46100i | ||||
\(716\) | 9.65551 | + | 5.57461i | 0.360843 | + | 0.208333i | ||||
\(717\) | −11.0426 | − | 11.4284i | −0.412392 | − | 0.426801i | ||||
\(718\) | −14.6525 | + | 25.3789i | −0.546828 | + | 0.947133i | ||||
\(719\) | 17.1214 | − | 29.6552i | 0.638522 | − | 1.10595i | −0.347235 | − | 0.937778i | \(-0.612879\pi\) |
0.985757 | − | 0.168175i | \(-0.0537873\pi\) | |||||||
\(720\) | −3.88437 | − | 4.16074i | −0.144762 | − | 0.155061i | ||||
\(721\) | 1.28041 | + | 4.77857i | 0.0476851 | + | 0.177963i | ||||
\(722\) | 0.0505595 | − | 0.0505595i | 0.00188163 | − | 0.00188163i | ||||
\(723\) | −9.23457 | + | 32.2393i | −0.343437 | + | 1.19899i | ||||
\(724\) | −1.00780 | − | 1.74557i | −0.0374547 | − | 0.0648734i | ||||
\(725\) | 8.57977 | 0.318645 | ||||||||
\(726\) | −37.0834 | − | 10.6221i | −1.37629 | − | 0.394223i | ||||
\(727\) | −27.5561 | + | 15.9095i | −1.02200 | + | 0.590052i | −0.914683 | − | 0.404172i | \(-0.867560\pi\) |
−0.107318 | + | 0.994225i | \(0.534226\pi\) | |||||||
\(728\) | −5.81713 | − | 4.56117i | −0.215597 | − | 0.169048i | ||||
\(729\) | 26.8569 | + | 2.77649i | 0.994699 | + | 0.102833i | ||||
\(730\) | 15.6115 | + | 4.18310i | 0.577809 | + | 0.154824i | ||||
\(731\) | 11.4331 | + | 6.60092i | 0.422870 | + | 0.244144i | ||||
\(732\) | −13.1705 | − | 7.90855i | −0.486796 | − | 0.292308i | ||||
\(733\) | 3.28845 | + | 12.2727i | 0.121462 | + | 0.453301i | 0.999689 | − | 0.0249426i | \(-0.00794030\pi\) |
−0.878227 | + | 0.478244i | \(0.841274\pi\) | |||||||
\(734\) | −3.18428 | + | 11.8839i | −0.117534 | + | 0.438643i | ||||
\(735\) | 6.60951 | − | 6.38636i | 0.243796 | − | 0.235565i | ||||
\(736\) | 1.53599 | − | 5.73241i | 0.0566175 | − | 0.211299i | ||||
\(737\) | −69.2375 | − | 39.9743i | −2.55040 | − | 1.47247i | ||||
\(738\) | −29.6575 | + | 15.7908i | −1.09171 | + | 0.581267i | ||||
\(739\) | −7.36509 | + | 27.4869i | −0.270929 | + | 1.01112i | 0.687591 | + | 0.726098i | \(0.258668\pi\) |
−0.958521 | + | 0.285024i | \(0.907999\pi\) | |||||||
\(740\) | −2.14639 | − | 3.71765i | −0.0789028 | − | 0.136664i | ||||
\(741\) | −27.1272 | + | 2.81124i | −0.996543 | + | 0.103274i | ||||
\(742\) | 2.80429 | − | 4.85717i | 0.102949 | − | 0.178312i | ||||
\(743\) | −18.4334 | − | 18.4334i | −0.676254 | − | 0.676254i | 0.282896 | − | 0.959151i | \(-0.408705\pi\) |
−0.959151 | + | 0.282896i | \(0.908705\pi\) | |||||||
\(744\) | −0.0759096 | + | 4.42083i | −0.00278298 | + | 0.162076i | ||||
\(745\) | 10.4055i | 0.381229i | ||||||||
\(746\) | 20.0377 | + | 20.0377i | 0.733633 | + | 0.733633i | ||||
\(747\) | 5.72478 | + | 6.13209i | 0.209459 | + | 0.224361i | ||||
\(748\) | −12.4036 | + | 3.32352i | −0.453519 | + | 0.121520i | ||||
\(749\) | 27.3443 | + | 7.32688i | 0.999138 | + | 0.267718i | ||||
\(750\) | 21.0294 | + | 0.361094i | 0.767887 | + | 0.0131853i | ||||
\(751\) | 27.1909i | 0.992210i | 0.868263 | + | 0.496105i | \(0.165237\pi\) | ||||
−0.868263 | + | 0.496105i | \(0.834763\pi\) | |||||||
\(752\) | 4.00302 | − | 4.00302i | 0.145975 | − | 0.145975i | ||||
\(753\) | −26.2743 | − | 0.451152i | −0.957487 | − | 0.0164409i | ||||
\(754\) | −13.2672 | − | 17.6701i | −0.483163 | − | 0.643506i | ||||
\(755\) | − | 12.3525i | − | 0.449555i | ||||||
\(756\) | −10.1346 | − | 3.28337i | −0.368590 | − | 0.119415i | ||||
\(757\) | −22.3587 | − | 38.7264i | −0.812640 | − | 1.40753i | −0.911010 | − | 0.412383i | \(-0.864696\pi\) |
0.0983707 | − | 0.995150i | \(-0.468637\pi\) | |||||||
\(758\) | 18.1350 | 0.658694 | ||||||||
\(759\) | −42.6386 | + | 41.1990i | −1.54768 | + | 1.49543i | ||||
\(760\) | 8.00365 | + | 2.14457i | 0.290323 | + | 0.0777917i | ||||
\(761\) | −48.5771 | − | 13.0162i | −1.76092 | − | 0.471837i | −0.774018 | − | 0.633164i | \(-0.781756\pi\) |
−0.986901 | + | 0.161327i | \(0.948423\pi\) | |||||||
\(762\) | 14.8778 | + | 4.26158i | 0.538968 | + | 0.154381i | ||||
\(763\) | 24.7478 | 0.895929 | ||||||||
\(764\) | −0.280608 | − | 0.486028i | −0.0101521 | − | 0.0175839i | ||||
\(765\) | 8.64748 | + | 9.26273i | 0.312650 | + | 0.334895i | ||||
\(766\) | − | 20.2117i | − | 0.730279i | ||||||
\(767\) | −14.2600 | − | 18.9923i | −0.514898 | − | 0.685773i | ||||
\(768\) | −0.891650 | + | 1.48491i | −0.0321747 | + | 0.0535821i | ||||
\(769\) | 29.1868 | − | 29.1868i | 1.05250 | − |