Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 223.15 | ||
Character | \(\chi\) | \(=\) | 300.223 |
Dual form | 300.2.w.a.187.15 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.195497 | − | 1.40064i | −0.138237 | − | 0.990399i | ||||
\(3\) | 0.453990 | + | 0.891007i | 0.262112 | + | 0.514423i | ||||
\(4\) | −1.92356 | + | 0.547641i | −0.961781 | + | 0.273821i | ||||
\(5\) | −2.17923 | + | 0.500947i | −0.974582 | + | 0.224030i | ||||
\(6\) | 1.15922 | − | 0.810065i | 0.473250 | − | 0.330708i | ||||
\(7\) | 0.974356 | + | 0.974356i | 0.368272 | + | 0.368272i | 0.866847 | − | 0.498575i | \(-0.166143\pi\) |
−0.498575 | + | 0.866847i | \(0.666143\pi\) | |||||||
\(8\) | 1.14310 | + | 2.58715i | 0.404146 | + | 0.914695i | ||||
\(9\) | −0.587785 | + | 0.809017i | −0.195928 | + | 0.269672i | ||||
\(10\) | 1.12768 | + | 2.95438i | 0.356603 | + | 0.934256i | ||||
\(11\) | 1.28653 | + | 1.77076i | 0.387903 | + | 0.533903i | 0.957657 | − | 0.287913i | \(-0.0929613\pi\) |
−0.569753 | + | 0.821816i | \(0.692961\pi\) | |||||||
\(12\) | −1.36123 | − | 1.46528i | −0.392953 | − | 0.422990i | ||||
\(13\) | 0.471971 | + | 2.97991i | 0.130901 | + | 0.826478i | 0.962536 | + | 0.271155i | \(0.0874056\pi\) |
−0.831634 | + | 0.555324i | \(0.812594\pi\) | |||||||
\(14\) | 1.17423 | − | 1.55520i | 0.313827 | − | 0.415645i | ||||
\(15\) | −1.43570 | − | 1.71428i | −0.370696 | − | 0.442626i | ||||
\(16\) | 3.40018 | − | 2.10684i | 0.850045 | − | 0.526711i | ||||
\(17\) | −0.167947 | − | 0.0855735i | −0.0407332 | − | 0.0207546i | 0.433505 | − | 0.901151i | \(-0.357277\pi\) |
−0.474239 | + | 0.880396i | \(0.657277\pi\) | |||||||
\(18\) | 1.24805 | + | 0.665112i | 0.294168 | + | 0.156769i | ||||
\(19\) | 2.61894 | + | 8.06028i | 0.600827 | + | 1.84915i | 0.523271 | + | 0.852166i | \(0.324712\pi\) |
0.0775557 | + | 0.996988i | \(0.475288\pi\) | |||||||
\(20\) | 3.91755 | − | 2.15704i | 0.875990 | − | 0.482329i | ||||
\(21\) | −0.425809 | + | 1.31051i | −0.0929192 | + | 0.285976i | ||||
\(22\) | 2.22867 | − | 2.14814i | 0.475154 | − | 0.457984i | ||||
\(23\) | −0.127074 | + | 0.802316i | −0.0264968 | + | 0.167294i | −0.997388 | − | 0.0722253i | \(-0.976990\pi\) |
0.970892 | + | 0.239520i | \(0.0769900\pi\) | |||||||
\(24\) | −1.78621 | + | 2.19305i | −0.364609 | + | 0.447654i | ||||
\(25\) | 4.49810 | − | 2.18336i | 0.899621 | − | 0.436672i | ||||
\(26\) | 4.08150 | − | 1.24362i | 0.800448 | − | 0.243895i | ||||
\(27\) | −0.987688 | − | 0.156434i | −0.190081 | − | 0.0301058i | ||||
\(28\) | −2.40783 | − | 1.34064i | −0.455037 | − | 0.253357i | ||||
\(29\) | −9.37232 | − | 3.04525i | −1.74040 | − | 0.565489i | −0.745510 | − | 0.666495i | \(-0.767794\pi\) |
−0.994886 | + | 0.101006i | \(0.967794\pi\) | |||||||
\(30\) | −2.12041 | + | 2.34603i | −0.387133 | + | 0.428324i | ||||
\(31\) | −4.18430 | + | 1.35956i | −0.751523 | + | 0.244185i | −0.659636 | − | 0.751585i | \(-0.729290\pi\) |
−0.0918864 | + | 0.995769i | \(0.529290\pi\) | |||||||
\(32\) | −3.61565 | − | 4.35053i | −0.639162 | − | 0.769072i | ||||
\(33\) | −0.993683 | + | 1.95021i | −0.172978 | + | 0.339488i | ||||
\(34\) | −0.0870241 | + | 0.251963i | −0.0149245 | + | 0.0432112i | ||||
\(35\) | −2.61145 | − | 1.63525i | −0.441416 | − | 0.276407i | ||||
\(36\) | 0.687590 | − | 1.87809i | 0.114598 | − | 0.313015i | ||||
\(37\) | 6.96951 | − | 1.10386i | 1.14578 | − | 0.181474i | 0.445460 | − | 0.895302i | \(-0.353040\pi\) |
0.700321 | + | 0.713828i | \(0.253040\pi\) | |||||||
\(38\) | 10.7775 | − | 5.24395i | 1.74834 | − | 0.850681i | ||||
\(39\) | −2.44085 | + | 1.77338i | −0.390849 | + | 0.283968i | ||||
\(40\) | −3.78710 | − | 5.06536i | −0.598793 | − | 0.800904i | ||||
\(41\) | −2.94227 | − | 2.13768i | −0.459505 | − | 0.333850i | 0.333832 | − | 0.942633i | \(-0.391658\pi\) |
−0.793337 | + | 0.608783i | \(0.791658\pi\) | |||||||
\(42\) | 1.91879 | + | 0.340203i | 0.296075 | + | 0.0524945i | ||||
\(43\) | −1.86758 | + | 1.86758i | −0.284803 | + | 0.284803i | −0.835021 | − | 0.550218i | \(-0.814545\pi\) |
0.550218 | + | 0.835021i | \(0.314545\pi\) | |||||||
\(44\) | −3.44446 | − | 2.70160i | −0.519272 | − | 0.407282i | ||||
\(45\) | 0.875646 | − | 2.05749i | 0.130534 | − | 0.306712i | ||||
\(46\) | 1.14859 | + | 0.0211343i | 0.169351 | + | 0.00311608i | ||||
\(47\) | 5.26420 | − | 2.68224i | 0.767862 | − | 0.391245i | −0.0257506 | − | 0.999668i | \(-0.508198\pi\) |
0.793613 | + | 0.608423i | \(0.208198\pi\) | |||||||
\(48\) | 3.42086 | + | 2.07309i | 0.493759 | + | 0.299225i | ||||
\(49\) | − | 5.10126i | − | 0.728751i | ||||||
\(50\) | −3.93746 | − | 5.87336i | −0.556841 | − | 0.830619i | ||||
\(51\) | − | 0.188492i | − | 0.0263941i | ||||||
\(52\) | −2.53979 | − | 5.47357i | −0.352205 | − | 0.759048i | ||||
\(53\) | 6.90236 | − | 3.51693i | 0.948112 | − | 0.483087i | 0.0896554 | − | 0.995973i | \(-0.471423\pi\) |
0.858457 | + | 0.512885i | \(0.171423\pi\) | |||||||
\(54\) | −0.0260173 | + | 1.41397i | −0.00354051 | + | 0.192418i | ||||
\(55\) | −3.69070 | − | 3.21440i | −0.497654 | − | 0.433430i | ||||
\(56\) | −1.40702 | + | 3.63459i | −0.188021 | + | 0.485692i | ||||
\(57\) | −5.99278 | + | 5.99278i | −0.793764 | + | 0.793764i | ||||
\(58\) | −2.43302 | + | 13.7225i | −0.319472 | + | 1.80186i | ||||
\(59\) | 4.74817 | + | 3.44975i | 0.618159 | + | 0.449119i | 0.852278 | − | 0.523089i | \(-0.175220\pi\) |
−0.234119 | + | 0.972208i | \(0.575220\pi\) | |||||||
\(60\) | 3.70047 | + | 2.51128i | 0.477728 | + | 0.324205i | ||||
\(61\) | −2.78978 | + | 2.02689i | −0.357195 | + | 0.259517i | −0.751881 | − | 0.659299i | \(-0.770853\pi\) |
0.394686 | + | 0.918816i | \(0.370853\pi\) | |||||||
\(62\) | 2.72227 | + | 5.59489i | 0.345729 | + | 0.710552i | ||||
\(63\) | −1.36098 | + | 0.215559i | −0.171468 | + | 0.0271578i | ||||
\(64\) | −5.38666 | + | 5.91472i | −0.673332 | + | 0.739340i | ||||
\(65\) | −2.52131 | − | 6.25748i | −0.312730 | − | 0.776145i | ||||
\(66\) | 2.92580 | + | 1.01053i | 0.360141 | + | 0.124387i | ||||
\(67\) | 3.24954 | − | 6.37758i | 0.396994 | − | 0.779145i | −0.602830 | − | 0.797869i | \(-0.705960\pi\) |
0.999825 | + | 0.0187240i | \(0.00596039\pi\) | |||||||
\(68\) | 0.369921 | + | 0.0726310i | 0.0448595 | + | 0.00880780i | ||||
\(69\) | −0.772559 | + | 0.251020i | −0.0930052 | + | 0.0302192i | ||||
\(70\) | −1.77985 | + | 3.97738i | −0.212733 | + | 0.475387i | ||||
\(71\) | −9.69583 | − | 3.15037i | −1.15068 | − | 0.373880i | −0.329283 | − | 0.944231i | \(-0.606807\pi\) |
−0.821401 | + | 0.570352i | \(0.806807\pi\) | |||||||
\(72\) | −2.76494 | − | 0.595902i | −0.325851 | − | 0.0702277i | ||||
\(73\) | 0.675143 | + | 0.106932i | 0.0790195 | + | 0.0125155i | 0.195819 | − | 0.980640i | \(-0.437263\pi\) |
−0.116800 | + | 0.993156i | \(0.537263\pi\) | |||||||
\(74\) | −2.90863 | − | 9.54595i | −0.338121 | − | 1.10969i | ||||
\(75\) | 3.98748 | + | 3.01661i | 0.460435 | + | 0.348329i | ||||
\(76\) | −9.45184 | − | 14.0702i | −1.08420 | − | 1.61396i | ||||
\(77\) | −0.471809 | + | 2.97889i | −0.0537676 | + | 0.339476i | ||||
\(78\) | 2.96104 | + | 3.07205i | 0.335272 | + | 0.347841i | ||||
\(79\) | −3.74116 | + | 11.5141i | −0.420913 | + | 1.29544i | 0.485940 | + | 0.873992i | \(0.338477\pi\) |
−0.906853 | + | 0.421446i | \(0.861523\pi\) | |||||||
\(80\) | −6.35436 | + | 6.29461i | −0.710439 | + | 0.703759i | ||||
\(81\) | −0.309017 | − | 0.951057i | −0.0343352 | − | 0.105673i | ||||
\(82\) | −2.41891 | + | 4.53896i | −0.267124 | + | 0.501244i | ||||
\(83\) | 6.86210 | + | 3.49641i | 0.753213 | + | 0.383781i | 0.788050 | − | 0.615612i | \(-0.211091\pi\) |
−0.0348365 | + | 0.999393i | \(0.511091\pi\) | |||||||
\(84\) | 0.101383 | − | 2.75403i | 0.0110618 | − | 0.300489i | ||||
\(85\) | 0.408864 | + | 0.102352i | 0.0443476 | + | 0.0111016i | ||||
\(86\) | 2.98091 | + | 2.25069i | 0.321439 | + | 0.242698i | ||||
\(87\) | −1.54160 | − | 9.73331i | −0.165277 | − | 1.04352i | ||||
\(88\) | −3.11058 | + | 5.35259i | −0.331589 | + | 0.570588i | ||||
\(89\) | 4.99353 | + | 6.87300i | 0.529313 | + | 0.728536i | 0.987025 | − | 0.160564i | \(-0.0513312\pi\) |
−0.457713 | + | 0.889100i | \(0.651331\pi\) | |||||||
\(90\) | −3.05297 | − | 0.824228i | −0.321812 | − | 0.0868812i | ||||
\(91\) | −2.44363 | + | 3.36336i | −0.256162 | + | 0.352576i | ||||
\(92\) | −0.194946 | − | 1.61289i | −0.0203245 | − | 0.168156i | ||||
\(93\) | −3.11101 | − | 3.11101i | −0.322597 | − | 0.322597i | ||||
\(94\) | −4.78598 | − | 6.84885i | −0.493636 | − | 0.706405i | ||||
\(95\) | −9.74506 | − | 16.2533i | −0.999822 | − | 1.66755i | ||||
\(96\) | 2.23488 | − | 5.19666i | 0.228097 | − | 0.530382i | ||||
\(97\) | 5.10182 | + | 10.0129i | 0.518012 | + | 1.01665i | 0.990782 | + | 0.135469i | \(0.0432541\pi\) |
−0.472770 | + | 0.881186i | \(0.656746\pi\) | |||||||
\(98\) | −7.14501 | + | 0.997283i | −0.721755 | + | 0.100741i | ||||
\(99\) | −2.18877 | −0.219980 | ||||||||
\(100\) | −7.45668 | + | 6.66317i | −0.745668 | + | 0.666317i | ||||
\(101\) | 1.67080 | 0.166251 | 0.0831254 | − | 0.996539i | \(-0.473510\pi\) | ||||
0.0831254 | + | 0.996539i | \(0.473510\pi\) | |||||||
\(102\) | −0.264008 | + | 0.0368497i | −0.0261407 | + | 0.00364866i | ||||
\(103\) | −8.43482 | − | 16.5543i | −0.831107 | − | 1.63114i | −0.774355 | − | 0.632752i | \(-0.781925\pi\) |
−0.0567528 | − | 0.998388i | \(-0.518075\pi\) | |||||||
\(104\) | −7.16996 | + | 4.62739i | −0.703072 | + | 0.453753i | ||||
\(105\) | 0.271443 | − | 3.06921i | 0.0264901 | − | 0.299524i | ||||
\(106\) | −6.27533 | − | 8.98015i | −0.609514 | − | 0.872229i | ||||
\(107\) | 9.55038 | + | 9.55038i | 0.923270 | + | 0.923270i | 0.997259 | − | 0.0739892i | \(-0.0235730\pi\) |
−0.0739892 | + | 0.997259i | \(0.523573\pi\) | |||||||
\(108\) | 1.98555 | − | 0.239987i | 0.191060 | − | 0.0230928i | ||||
\(109\) | 4.83533 | − | 6.65526i | 0.463140 | − | 0.637458i | −0.512016 | − | 0.858976i | \(-0.671101\pi\) |
0.975156 | + | 0.221518i | \(0.0711011\pi\) | |||||||
\(110\) | −3.78069 | + | 5.79774i | −0.360474 | + | 0.552792i | ||||
\(111\) | 4.14764 | + | 5.70874i | 0.393677 | + | 0.541849i | ||||
\(112\) | 5.36580 | + | 1.26017i | 0.507021 | + | 0.119075i | ||||
\(113\) | −0.707497 | − | 4.46696i | −0.0665558 | − | 0.420216i | −0.998360 | − | 0.0572543i | \(-0.981765\pi\) |
0.931804 | − | 0.362962i | \(-0.118235\pi\) | |||||||
\(114\) | 9.56528 | + | 7.22214i | 0.895871 | + | 0.676415i | ||||
\(115\) | −0.124993 | − | 1.81209i | −0.0116557 | − | 0.168978i | ||||
\(116\) | 19.6959 | + | 0.725060i | 1.82872 | + | 0.0673202i | ||||
\(117\) | −2.68822 | − | 1.36971i | −0.248526 | − | 0.126630i | ||||
\(118\) | 3.90359 | − | 7.32488i | 0.359354 | − | 0.674310i | ||||
\(119\) | −0.0802616 | − | 0.247020i | −0.00735757 | − | 0.0226443i | ||||
\(120\) | 2.79396 | − | 5.67395i | 0.255053 | − | 0.517959i | ||||
\(121\) | 1.91877 | − | 5.90536i | 0.174433 | − | 0.536851i | ||||
\(122\) | 3.38434 | + | 3.51121i | 0.306403 | + | 0.317890i | ||||
\(123\) | 0.568928 | − | 3.59207i | 0.0512985 | − | 0.323886i | ||||
\(124\) | 7.30421 | − | 4.90670i | 0.655937 | − | 0.440634i | ||||
\(125\) | −8.70866 | + | 7.01136i | −0.778927 | + | 0.627115i | ||||
\(126\) | 0.567988 | + | 1.86410i | 0.0506004 | + | 0.166067i | ||||
\(127\) | 19.0138 | + | 3.01149i | 1.68720 | + | 0.267227i | 0.924960 | − | 0.380063i | \(-0.124098\pi\) |
0.762244 | + | 0.647290i | \(0.224098\pi\) | |||||||
\(128\) | 9.33745 | + | 6.38844i | 0.825321 | + | 0.564663i | ||||
\(129\) | −2.51189 | − | 0.816162i | −0.221159 | − | 0.0718591i | ||||
\(130\) | −8.27155 | + | 4.75476i | −0.725463 | + | 0.417020i | ||||
\(131\) | −7.36328 | + | 2.39248i | −0.643333 | + | 0.209032i | −0.612472 | − | 0.790492i | \(-0.709825\pi\) |
−0.0308607 | + | 0.999524i | \(0.509825\pi\) | |||||||
\(132\) | 0.843394 | − | 4.29554i | 0.0734080 | − | 0.373878i | ||||
\(133\) | −5.30180 | + | 10.4054i | −0.459724 | + | 0.902260i | ||||
\(134\) | −9.56794 | − | 3.30462i | −0.826544 | − | 0.285476i | ||||
\(135\) | 2.23077 | − | 0.153873i | 0.191994 | − | 0.0132433i | ||||
\(136\) | 0.0294110 | − | 0.532324i | 0.00252197 | − | 0.0456464i | ||||
\(137\) | 14.8459 | − | 2.35135i | 1.26837 | − | 0.200890i | 0.514257 | − | 0.857636i | \(-0.328068\pi\) |
0.754111 | + | 0.656746i | \(0.228068\pi\) | |||||||
\(138\) | 0.502620 | + | 1.03300i | 0.0427859 | + | 0.0879348i | ||||
\(139\) | 16.4145 | − | 11.9259i | 1.39226 | − | 1.01154i | 0.396651 | − | 0.917969i | \(-0.370172\pi\) |
0.995613 | − | 0.0935694i | \(-0.0298277\pi\) | |||||||
\(140\) | 5.91881 | + | 1.71536i | 0.500231 | + | 0.144975i | ||||
\(141\) | 4.77979 | + | 3.47272i | 0.402531 | + | 0.292456i | ||||
\(142\) | −2.51701 | + | 14.1962i | −0.211223 | + | 1.19132i | ||||
\(143\) | −4.66949 | + | 4.66949i | −0.390482 | + | 0.390482i | ||||
\(144\) | −0.294103 | + | 3.98917i | −0.0245086 | + | 0.332431i | ||||
\(145\) | 21.9500 | + | 1.94127i | 1.82284 | + | 0.161214i | ||||
\(146\) | 0.0177843 | − | 0.966534i | 0.00147184 | − | 0.0799909i | ||||
\(147\) | 4.54526 | − | 2.31592i | 0.374886 | − | 0.191014i | ||||
\(148\) | −12.8018 | + | 5.94014i | −1.05230 | + | 0.488276i | ||||
\(149\) | 20.4193i | 1.67282i | 0.548107 | + | 0.836408i | \(0.315349\pi\) | ||||
−0.548107 | + | 0.836408i | \(0.684651\pi\) | |||||||
\(150\) | 3.44564 | − | 6.17475i | 0.281335 | − | 0.504167i | ||||
\(151\) | − | 17.8614i | − | 1.45354i | −0.686880 | − | 0.726771i | \(-0.741020\pi\) | ||
0.686880 | − | 0.726771i | \(-0.258980\pi\) | |||||||
\(152\) | −17.8594 | + | 15.9893i | −1.44859 | + | 1.29690i | ||||
\(153\) | 0.167947 | − | 0.0855735i | 0.0135777 | − | 0.00691821i | ||||
\(154\) | 4.26457 | + | 0.0784686i | 0.343649 | + | 0.00632318i | ||||
\(155\) | 8.43749 | − | 5.05891i | 0.677716 | − | 0.406342i | ||||
\(156\) | 3.72395 | − | 4.74792i | 0.298154 | − | 0.380138i | ||||
\(157\) | −1.27991 | + | 1.27991i | −0.102148 | + | 0.102148i | −0.756334 | − | 0.654186i | \(-0.773011\pi\) |
0.654186 | + | 0.756334i | \(0.273011\pi\) | |||||||
\(158\) | 16.8585 | + | 2.98903i | 1.34119 | + | 0.237794i | ||||
\(159\) | 6.26721 | + | 4.55340i | 0.497022 | + | 0.361108i | ||||
\(160\) | 10.0587 | + | 7.66957i | 0.795211 | + | 0.606332i | ||||
\(161\) | −0.905557 | + | 0.657926i | −0.0713679 | + | 0.0518518i | ||||
\(162\) | −1.27167 | + | 0.618749i | −0.0999120 | + | 0.0486135i | ||||
\(163\) | −9.66822 | + | 1.53130i | −0.757273 | + | 0.119940i | −0.523120 | − | 0.852259i | \(-0.675232\pi\) |
−0.234154 | + | 0.972200i | \(0.575232\pi\) | |||||||
\(164\) | 6.83032 | + | 2.50066i | 0.533358 | + | 0.195269i | ||||
\(165\) | 1.18851 | − | 4.74775i | 0.0925255 | − | 0.369612i | ||||
\(166\) | 3.55568 | − | 10.2948i | 0.275974 | − | 0.799034i | ||||
\(167\) | 6.71747 | − | 13.1838i | 0.519813 | − | 1.02019i | −0.470638 | − | 0.882326i | \(-0.655976\pi\) |
0.990451 | − | 0.137864i | \(-0.0440238\pi\) | |||||||
\(168\) | −3.87721 | + | 0.396404i | −0.299134 | + | 0.0305833i | ||||
\(169\) | 3.70663 | − | 1.20436i | 0.285125 | − | 0.0926428i | ||||
\(170\) | 0.0634256 | − | 0.592680i | 0.00486452 | − | 0.0454564i | ||||
\(171\) | −8.06028 | − | 2.61894i | −0.616385 | − | 0.200276i | ||||
\(172\) | 2.56964 | − | 4.61517i | 0.195933 | − | 0.351903i | ||||
\(173\) | 2.86441 | + | 0.453678i | 0.217777 | + | 0.0344925i | 0.264370 | − | 0.964421i | \(-0.414836\pi\) |
−0.0465922 | + | 0.998914i | \(0.514836\pi\) | |||||||
\(174\) | −13.3314 | + | 4.06206i | −1.01065 | + | 0.307944i | ||||
\(175\) | 6.51013 | + | 2.25538i | 0.492119 | + | 0.170491i | ||||
\(176\) | 8.10513 | + | 3.31037i | 0.610948 | + | 0.249529i | ||||
\(177\) | −0.918124 | + | 5.79681i | −0.0690104 | + | 0.435715i | ||||
\(178\) | 8.65035 | − | 8.33776i | 0.648371 | − | 0.624942i | ||||
\(179\) | 0.399586 | − | 1.22980i | 0.0298664 | − | 0.0919194i | −0.935012 | − | 0.354616i | \(-0.884612\pi\) |
0.964879 | + | 0.262696i | \(0.0846117\pi\) | |||||||
\(180\) | −0.557595 | + | 4.43724i | −0.0415607 | + | 0.330732i | ||||
\(181\) | −4.28796 | − | 13.1970i | −0.318722 | − | 0.980924i | −0.974195 | − | 0.225706i | \(-0.927531\pi\) |
0.655474 | − | 0.755218i | \(-0.272469\pi\) | |||||||
\(182\) | 5.18857 | + | 2.76510i | 0.384602 | + | 0.204963i | ||||
\(183\) | −3.07251 | − | 1.56552i | −0.227126 | − | 0.115727i | ||||
\(184\) | −2.22097 | + | 0.588365i | −0.163732 | + | 0.0433748i | ||||
\(185\) | −14.6352 | + | 5.89693i | −1.07600 | + | 0.433551i | ||||
\(186\) | −3.74920 | + | 4.96559i | −0.274905 | + | 0.364095i | ||||
\(187\) | −0.0645396 | − | 0.407487i | −0.00471960 | − | 0.0297984i | ||||
\(188\) | −8.65710 | + | 8.04235i | −0.631384 | + | 0.586549i | ||||
\(189\) | −0.809937 | − | 1.11478i | −0.0589143 | − | 0.0810885i | ||||
\(190\) | −20.8598 | + | 16.8267i | −1.51333 | + | 1.22074i | ||||
\(191\) | −1.31871 | + | 1.81505i | −0.0954185 | + | 0.131332i | −0.854057 | − | 0.520180i | \(-0.825865\pi\) |
0.758638 | + | 0.651512i | \(0.225865\pi\) | |||||||
\(192\) | −7.71555 | − | 2.11432i | −0.556822 | − | 0.152588i | ||||
\(193\) | −15.1457 | − | 15.1457i | −1.09021 | − | 1.09021i | −0.995505 | − | 0.0947077i | \(-0.969808\pi\) |
−0.0947077 | − | 0.995505i | \(-0.530192\pi\) | |||||||
\(194\) | 13.0270 | − | 9.10329i | 0.935286 | − | 0.653578i | ||||
\(195\) | 4.43081 | − | 5.08734i | 0.317297 | − | 0.364312i | ||||
\(196\) | 2.79366 | + | 9.81259i | 0.199547 | + | 0.700899i | ||||
\(197\) | −6.47675 | − | 12.7113i | −0.461449 | − | 0.905645i | −0.998087 | − | 0.0618319i | \(-0.980306\pi\) |
0.536638 | − | 0.843813i | \(-0.319694\pi\) | |||||||
\(198\) | 0.427900 | + | 3.06568i | 0.0304095 | + | 0.217868i | ||||
\(199\) | 5.50425 | 0.390186 | 0.195093 | − | 0.980785i | \(-0.437499\pi\) | ||||
0.195093 | + | 0.980785i | \(0.437499\pi\) | |||||||
\(200\) | 10.7904 | + | 9.14146i | 0.763000 | + | 0.646399i | ||||
\(201\) | 7.15773 | 0.504867 | ||||||||
\(202\) | −0.326637 | − | 2.34018i | −0.0229821 | − | 0.164655i | ||||
\(203\) | −6.16482 | − | 12.0991i | −0.432685 | − | 0.849193i | ||||
\(204\) | 0.103226 | + | 0.362576i | 0.00722726 | + | 0.0253854i | ||||
\(205\) | 7.48275 | + | 3.18459i | 0.522618 | + | 0.222421i | ||||
\(206\) | −21.5375 | + | 15.0504i | −1.50059 | + | 1.04861i | ||||
\(207\) | −0.574395 | − | 0.574395i | −0.0399232 | − | 0.0399232i | ||||
\(208\) | 7.88299 | + | 9.13786i | 0.546587 | + | 0.633596i | ||||
\(209\) | −10.9034 | + | 15.0073i | −0.754207 | + | 1.03808i | ||||
\(210\) | −4.35191 | + | 0.219829i | −0.300310 | + | 0.0151696i | ||||
\(211\) | 15.8905 | + | 21.8715i | 1.09395 | + | 1.50569i | 0.843169 | + | 0.537649i | \(0.180688\pi\) |
0.250781 | + | 0.968044i | \(0.419312\pi\) | |||||||
\(212\) | −11.3511 | + | 10.5450i | −0.779597 | + | 0.724237i | ||||
\(213\) | −1.59482 | − | 10.0693i | −0.109275 | − | 0.689936i | ||||
\(214\) | 11.5095 | − | 15.2437i | 0.786775 | − | 1.04204i | ||||
\(215\) | 3.13433 | − | 5.00545i | 0.213760 | − | 0.341369i | ||||
\(216\) | −0.724305 | − | 2.73411i | −0.0492827 | − | 0.186033i | ||||
\(217\) | −5.40170 | − | 2.75230i | −0.366691 | − | 0.186838i | ||||
\(218\) | −10.2669 | − | 5.47145i | −0.695361 | − | 0.370573i | ||||
\(219\) | 0.211231 | + | 0.650103i | 0.0142737 | + | 0.0439299i | ||||
\(220\) | 8.85963 | + | 4.16193i | 0.597316 | + | 0.280597i | ||||
\(221\) | 0.175735 | − | 0.540857i | 0.0118212 | − | 0.0363820i | ||||
\(222\) | 7.18501 | − | 6.92538i | 0.482226 | − | 0.464801i | ||||
\(223\) | −2.29154 | + | 14.4682i | −0.153453 | + | 0.968862i | 0.784003 | + | 0.620757i | \(0.213175\pi\) |
−0.937456 | + | 0.348105i | \(0.886825\pi\) | |||||||
\(224\) | 0.716039 | − | 7.76189i | 0.0478424 | − | 0.518613i | ||||
\(225\) | −0.877543 | + | 4.92239i | −0.0585029 | + | 0.328159i | ||||
\(226\) | −6.11827 | + | 1.86423i | −0.406982 | + | 0.124006i | ||||
\(227\) | 1.09529 | + | 0.173477i | 0.0726971 | + | 0.0115141i | 0.192677 | − | 0.981262i | \(-0.438283\pi\) |
−0.119980 | + | 0.992776i | \(0.538283\pi\) | |||||||
\(228\) | 8.24559 | − | 14.8094i | 0.546078 | − | 0.980775i | ||||
\(229\) | −8.19638 | − | 2.66316i | −0.541632 | − | 0.175987i | 0.0254081 | − | 0.999677i | \(-0.491911\pi\) |
−0.567040 | + | 0.823690i | \(0.691911\pi\) | |||||||
\(230\) | −2.51364 | + | 0.529329i | −0.165745 | + | 0.0349029i | ||||
\(231\) | −2.86840 | + | 0.932001i | −0.188727 | + | 0.0613211i | ||||
\(232\) | −2.83496 | − | 27.7286i | −0.186124 | − | 1.82047i | ||||
\(233\) | 4.55764 | − | 8.94488i | 0.298581 | − | 0.585999i | −0.692163 | − | 0.721741i | \(-0.743342\pi\) |
0.990744 | + | 0.135743i | \(0.0433420\pi\) | |||||||
\(234\) | −1.39293 | + | 4.03299i | −0.0910588 | + | 0.263645i | ||||
\(235\) | −10.1282 | + | 8.48232i | −0.660694 | + | 0.553325i | ||||
\(236\) | −11.0226 | − | 4.03551i | −0.717512 | − | 0.262689i | ||||
\(237\) | −11.9576 | + | 1.89390i | −0.776729 | + | 0.123022i | ||||
\(238\) | −0.330294 | + | 0.160709i | −0.0214098 | + | 0.0104172i | ||||
\(239\) | −15.6437 | + | 11.3658i | −1.01191 | + | 0.735196i | −0.964609 | − | 0.263685i | \(-0.915062\pi\) |
−0.0473011 | + | 0.998881i | \(0.515062\pi\) | |||||||
\(240\) | −8.49336 | − | 2.80408i | −0.548244 | − | 0.181003i | ||||
\(241\) | 7.26740 | + | 5.28007i | 0.468134 | + | 0.340119i | 0.796714 | − | 0.604357i | \(-0.206570\pi\) |
−0.328579 | + | 0.944476i | \(0.606570\pi\) | |||||||
\(242\) | −8.64638 | − | 1.53301i | −0.555810 | − | 0.0985458i | ||||
\(243\) | 0.707107 | − | 0.707107i | 0.0453609 | − | 0.0453609i | ||||
\(244\) | 4.25630 | − | 5.42665i | 0.272482 | − | 0.347406i | ||||
\(245\) | 2.55546 | + | 11.1168i | 0.163262 | + | 0.710228i | ||||
\(246\) | −5.14240 | − | 0.0946208i | −0.327868 | − | 0.00603280i | ||||
\(247\) | −22.7828 | + | 11.6084i | −1.44964 | + | 0.738627i | ||||
\(248\) | −8.30045 | − | 9.27129i | −0.527079 | − | 0.588728i | ||||
\(249\) | 7.70151i | 0.488063i | ||||||||
\(250\) | 11.5229 | + | 10.8270i | 0.728771 | + | 0.684757i | ||||
\(251\) | 17.7746i | 1.12192i | 0.827842 | + | 0.560962i | \(0.189569\pi\) | ||||
−0.827842 | + | 0.560962i | \(0.810431\pi\) | |||||||
\(252\) | 2.49989 | − | 1.15997i | 0.157478 | − | 0.0730713i | ||||
\(253\) | −1.58419 | + | 0.807185i | −0.0995972 | + | 0.0507473i | ||||
\(254\) | 0.500855 | − | 27.2202i | 0.0314264 | − | 1.70795i | ||||
\(255\) | 0.0944245 | + | 0.410767i | 0.00591309 | + | 0.0257233i | ||||
\(256\) | 7.12243 | − | 14.3273i | 0.445152 | − | 0.895455i | ||||
\(257\) | 0.448221 | − | 0.448221i | 0.0279592 | − | 0.0279592i | −0.692989 | − | 0.720948i | \(-0.743707\pi\) |
0.720948 | + | 0.692989i | \(0.243707\pi\) | |||||||
\(258\) | −0.652078 | + | 3.67780i | −0.0405966 | + | 0.228970i | ||||
\(259\) | 7.86634 | + | 5.71523i | 0.488791 | + | 0.355127i | ||||
\(260\) | 8.27676 | + | 10.6559i | 0.513303 | + | 0.660850i | ||||
\(261\) | 7.97257 | − | 5.79241i | 0.493490 | − | 0.358541i | ||||
\(262\) | 4.79049 | + | 9.84555i | 0.295957 | + | 0.608260i | ||||
\(263\) | −21.5564 | + | 3.41419i | −1.32922 | + | 0.210528i | −0.780332 | − | 0.625366i | \(-0.784950\pi\) |
−0.548891 | + | 0.835894i | \(0.684950\pi\) | |||||||
\(264\) | −6.18136 | − | 0.341522i | −0.380437 | − | 0.0210192i | ||||
\(265\) | −13.2801 | + | 11.1219i | −0.815787 | + | 0.683214i | ||||
\(266\) | 15.6106 | + | 5.39167i | 0.957148 | + | 0.330584i | ||||
\(267\) | −3.85687 | + | 7.56954i | −0.236037 | + | 0.463248i | ||||
\(268\) | −2.75806 | + | 14.0473i | −0.168476 | + | 0.858072i | ||||
\(269\) | 14.0180 | − | 4.55472i | 0.854692 | − | 0.277706i | 0.151282 | − | 0.988491i | \(-0.451660\pi\) |
0.703410 | + | 0.710784i | \(0.251660\pi\) | |||||||
\(270\) | −0.651629 | − | 3.09441i | −0.0396569 | − | 0.188320i | ||||
\(271\) | −9.30765 | − | 3.02424i | −0.565399 | − | 0.183709i | 0.0123498 | − | 0.999924i | \(-0.496069\pi\) |
−0.577749 | + | 0.816214i | \(0.696069\pi\) | |||||||
\(272\) | −0.751341 | + | 0.0628737i | −0.0455568 | + | 0.00381228i | ||||
\(273\) | −4.10616 | − | 0.650352i | −0.248516 | − | 0.0393611i | ||||
\(274\) | −6.19572 | − | 20.3340i | −0.374297 | − | 1.22842i | ||||
\(275\) | 9.65314 | + | 5.15609i | 0.582106 | + | 0.310924i | ||||
\(276\) | 1.34860 | − | 0.905937i | 0.0811760 | − | 0.0545310i | ||||
\(277\) | 0.314621 | − | 1.98644i | 0.0189038 | − | 0.119354i | −0.976432 | − | 0.215826i | \(-0.930756\pi\) |
0.995336 | + | 0.0964718i | \(0.0307558\pi\) | |||||||
\(278\) | −19.9128 | − | 20.6593i | −1.19429 | − | 1.23906i | ||||
\(279\) | 1.35956 | − | 4.18430i | 0.0813948 | − | 0.250508i | ||||
\(280\) | 1.24549 | − | 8.62545i | 0.0744320 | − | 0.515469i | ||||
\(281\) | −6.76190 | − | 20.8110i | −0.403381 | − | 1.24148i | −0.922240 | − | 0.386619i | \(-0.873643\pi\) |
0.518859 | − | 0.854860i | \(-0.326357\pi\) | |||||||
\(282\) | 3.92958 | − | 7.37366i | 0.234003 | − | 0.439095i | ||||
\(283\) | −9.36168 | − | 4.77002i | −0.556494 | − | 0.283548i | 0.153039 | − | 0.988220i | \(-0.451094\pi\) |
−0.709533 | + | 0.704672i | \(0.751094\pi\) | |||||||
\(284\) | 20.3758 | + | 0.750088i | 1.20908 | + | 0.0445096i | ||||
\(285\) | 10.0576 | − | 16.0617i | 0.595761 | − | 0.951415i | ||||
\(286\) | 7.45313 | + | 5.62738i | 0.440713 | + | 0.332754i | ||||
\(287\) | −0.783953 | − | 4.94968i | −0.0462753 | − | 0.292171i | ||||
\(288\) | 5.64488 | − | 0.367941i | 0.332627 | − | 0.0216812i | ||||
\(289\) | −9.97147 | − | 13.7245i | −0.586557 | − | 0.807326i | ||||
\(290\) | −1.57215 | − | 31.1234i | −0.0923195 | − | 1.82763i | ||||
\(291\) | −6.60537 | + | 9.09151i | −0.387214 | + | 0.532954i | ||||
\(292\) | −1.35724 | + | 0.164045i | −0.0794264 | + | 0.00960003i | ||||
\(293\) | 22.7257 | + | 22.7257i | 1.32765 | + | 1.32765i | 0.907418 | + | 0.420229i | \(0.138050\pi\) |
0.420229 | + | 0.907418i | \(0.361950\pi\) | |||||||
\(294\) | −4.13235 | − | 5.91349i | −0.241004 | − | 0.344882i | ||||
\(295\) | −12.0755 | − | 5.13922i | −0.703064 | − | 0.299217i | ||||
\(296\) | 10.8227 | + | 16.7693i | 0.629056 | + | 0.974698i | ||||
\(297\) | −0.993683 | − | 1.95021i | −0.0576593 | − | 0.113163i | ||||
\(298\) | 28.6000 | − | 3.99192i | 1.65676 | − | 0.231246i | ||||
\(299\) | −2.45080 | −0.141734 | ||||||||
\(300\) | −9.32219 | − | 3.61893i | −0.538217 | − | 0.208939i | ||||
\(301\) | −3.63938 | −0.209770 | ||||||||
\(302\) | −25.0173 | + | 3.49186i | −1.43959 | + | 0.200934i | ||||
\(303\) | 0.758528 | + | 1.48869i | 0.0435763 | + | 0.0855232i | ||||
\(304\) | 25.8866 | + | 21.8887i | 1.48470 | + | 1.25540i | ||||
\(305\) | 5.06421 | − | 5.81461i | 0.289976 | − | 0.332943i | ||||
\(306\) | −0.152691 | − | 0.218504i | −0.00872874 | − | 0.0124910i | ||||
\(307\) | 3.82428 | + | 3.82428i | 0.218263 | + | 0.218263i | 0.807766 | − | 0.589503i | \(-0.200676\pi\) |
−0.589503 | + | 0.807766i | \(0.700676\pi\) | |||||||
\(308\) | −0.723806 | − | 5.98845i | −0.0412427 | − | 0.341224i | ||||
\(309\) | 10.9206 | − | 15.0310i | 0.621253 | − | 0.855081i | ||||
\(310\) | −8.73521 | − | 10.8289i | −0.496126 | − | 0.615038i | ||||
\(311\) | 11.8348 | + | 16.2892i | 0.671089 | + | 0.923675i | 0.999784 | − | 0.0207612i | \(-0.00660896\pi\) |
−0.328695 | + | 0.944436i | \(0.606609\pi\) | |||||||
\(312\) | −7.37812 | − | 4.28769i | −0.417704 | − | 0.242743i | ||||
\(313\) | 0.968574 | + | 6.11533i | 0.0547470 | + | 0.345659i | 0.999823 | + | 0.0188087i | \(0.00598733\pi\) |
−0.945076 | + | 0.326850i | \(0.894013\pi\) | |||||||
\(314\) | 2.04291 | + | 1.54247i | 0.115288 | + | 0.0870468i | ||||
\(315\) | 2.85791 | − | 1.15153i | 0.161025 | − | 0.0648815i | ||||
\(316\) | 0.890754 | − | 24.1969i | 0.0501088 | − | 1.36118i | ||||
\(317\) | −5.38815 | − | 2.74540i | −0.302629 | − | 0.154197i | 0.296082 | − | 0.955163i | \(-0.404320\pi\) |
−0.598710 | + | 0.800966i | \(0.704320\pi\) | |||||||
\(318\) | 5.15243 | − | 9.66826i | 0.288934 | − | 0.542169i | ||||
\(319\) | −6.66537 | − | 20.5139i | −0.373189 | − | 1.14856i | ||||
\(320\) | 8.77582 | − | 15.5880i | 0.490583 | − | 0.871394i | ||||
\(321\) | −4.17367 | + | 12.8452i | −0.232951 | + | 0.716951i | ||||
\(322\) | 1.09855 | + | 1.13973i | 0.0612197 | + | 0.0635148i | ||||
\(323\) | 0.249901 | − | 1.57782i | 0.0139049 | − | 0.0877920i | ||||
\(324\) | 1.11525 | + | 1.66019i | 0.0619584 | + | 0.0922325i | ||||
\(325\) | 8.62919 | + | 12.3735i | 0.478662 | + | 0.686356i | ||||
\(326\) | 4.03490 | + | 13.2423i | 0.223472 | + | 0.733423i | ||||
\(327\) | 8.12507 | + | 1.28688i | 0.449317 | + | 0.0711649i | ||||
\(328\) | 2.16720 | − | 10.0557i | 0.119664 | − | 0.555231i | ||||
\(329\) | 7.74267 | + | 2.51574i | 0.426867 | + | 0.138697i | ||||
\(330\) | −6.88222 | − | 0.736501i | −0.378854 | − | 0.0405430i | ||||
\(331\) | 0.774938 | − | 0.251793i | 0.0425945 | − | 0.0138398i | −0.287642 | − | 0.957738i | \(-0.592871\pi\) |
0.330237 | + | 0.943898i | \(0.392871\pi\) | |||||||
\(332\) | −15.1144 | − | 2.96760i | −0.829513 | − | 0.162868i | ||||
\(333\) | −3.20353 | + | 6.28729i | −0.175553 | + | 0.344541i | ||||
\(334\) | −19.7789 | − | 6.83133i | −1.08225 | − | 0.373794i | ||||
\(335\) | −3.88667 | + | 15.5261i | −0.212351 | + | 0.848280i | ||||
\(336\) | 1.31320 | + | 5.35307i | 0.0716411 | + | 0.292034i | ||||
\(337\) | −1.01821 | + | 0.161269i | −0.0554654 | + | 0.00878486i | −0.184105 | − | 0.982906i | \(-0.558939\pi\) |
0.128640 | + | 0.991691i | \(0.458939\pi\) | |||||||
\(338\) | −2.41150 | − | 4.95619i | −0.131168 | − | 0.269581i | ||||
\(339\) | 3.65890 | − | 2.65834i | 0.198724 | − | 0.144381i | ||||
\(340\) | −0.842528 | + | 0.0270311i | −0.0456925 | + | 0.00146597i | ||||
\(341\) | −7.79068 | − | 5.66026i | −0.421889 | − | 0.306520i | ||||
\(342\) | −2.09242 | + | 11.8015i | −0.113145 | + | 0.638153i | ||||
\(343\) | 11.7909 | − | 11.7909i | 0.636651 | − | 0.636651i | ||||
\(344\) | −6.96653 | − | 2.69688i | −0.375610 | − | 0.145406i | ||||
\(345\) | 1.55784 | − | 0.934041i | 0.0838712 | − | 0.0502871i | ||||
\(346\) | 0.0754532 | − | 4.10069i | 0.00405639 | − | 0.220455i | ||||
\(347\) | −31.3056 | + | 15.9510i | −1.68057 | + | 0.856294i | −0.689297 | + | 0.724479i | \(0.742081\pi\) |
−0.991274 | + | 0.131815i | \(0.957919\pi\) | |||||||
\(348\) | 8.29573 | + | 17.8784i | 0.444698 | + | 0.958381i | ||||
\(349\) | − | 18.9424i | − | 1.01396i | −0.861957 | − | 0.506981i | \(-0.830761\pi\) | ||
0.861957 | − | 0.506981i | \(-0.169239\pi\) | |||||||
\(350\) | 1.88626 | − | 9.55924i | 0.100825 | − | 0.510963i | ||||
\(351\) | − | 3.01706i | − | 0.161038i | ||||||
\(352\) | 3.05209 | − | 11.9995i | 0.162677 | − | 0.639576i | ||||
\(353\) | 26.9775 | − | 13.7457i | 1.43587 | − | 0.731611i | 0.449059 | − | 0.893502i | \(-0.351759\pi\) |
0.986809 | + | 0.161891i | \(0.0517594\pi\) | |||||||
\(354\) | 8.29871 | + | 0.152697i | 0.441071 | + | 0.00811576i | ||||
\(355\) | 22.7076 | + | 2.00828i | 1.20520 | + | 0.106588i | ||||
\(356\) | −13.3693 | − | 10.4860i | −0.708571 | − | 0.555756i | ||||
\(357\) | 0.183658 | − | 0.183658i | 0.00972022 | − | 0.00972022i | ||||
\(358\) | −1.80062 | − | 0.319252i | −0.0951656 | − | 0.0168730i | ||||
\(359\) | −8.61378 | − | 6.25828i | −0.454618 | − | 0.330299i | 0.336798 | − | 0.941577i | \(-0.390656\pi\) |
−0.791416 | + | 0.611278i | \(0.790656\pi\) | |||||||
\(360\) | 6.32396 | − | 0.0864810i | 0.333302 | − | 0.00455795i | ||||
\(361\) | −42.7379 | + | 31.0509i | −2.24936 | + | 1.63426i | ||||
\(362\) | −17.6459 | + | 8.58584i | −0.927447 | + | 0.451262i | ||||
\(363\) | 6.13282 | − | 0.971343i | 0.321889 | − | 0.0509823i | ||||
\(364\) | 2.85855 | − | 7.80787i | 0.149829 | − | 0.409243i | ||||
\(365\) | −1.52486 | + | 0.105181i | −0.0798148 | + | 0.00550542i | ||||
\(366\) | −1.59206 | + | 4.60952i | −0.0832183 | + | 0.240944i | ||||
\(367\) | −3.96574 | + | 7.78320i | −0.207010 | + | 0.406280i | −0.971046 | − | 0.238894i | \(-0.923215\pi\) |
0.764036 | + | 0.645174i | \(0.223215\pi\) | |||||||
\(368\) | 1.25828 | + | 2.99574i | 0.0655923 | + | 0.156164i | ||||
\(369\) | 3.45884 | − | 1.12385i | 0.180060 | − | 0.0585051i | ||||
\(370\) | 11.1206 | + | 19.3458i | 0.578132 | + | 1.00574i | ||||
\(371\) | 10.1521 | + | 3.29862i | 0.527071 | + | 0.171256i | ||||
\(372\) | 7.68794 | + | 4.28050i | 0.398601 | + | 0.221934i | ||||
\(373\) | −17.7640 | − | 2.81354i | −0.919785 | − | 0.145680i | −0.321451 | − | 0.946926i | \(-0.604170\pi\) |
−0.598334 | + | 0.801247i | \(0.704170\pi\) | |||||||
\(374\) | −0.558123 | + | 0.170059i | −0.0288599 | + | 0.00879354i | ||||
\(375\) | −10.2008 | − | 4.57638i | −0.526768 | − | 0.236323i | ||||
\(376\) | 12.9568 | + | 10.5532i | 0.668198 | + | 0.544239i | ||||
\(377\) | 4.65111 | − | 29.3659i | 0.239544 | − | 1.51242i | ||||
\(378\) | −1.40306 | + | 1.35236i | −0.0721659 | + | 0.0695581i | ||||
\(379\) | 0.0886478 | − | 0.272830i | 0.00455353 | − | 0.0140143i | −0.948754 | − | 0.316016i | \(-0.897655\pi\) |
0.953307 | + | 0.302001i | \(0.0976547\pi\) | |||||||
\(380\) | 27.6462 | + | 25.9274i | 1.41822 | + | 1.33005i | ||||
\(381\) | 5.94883 | + | 18.3086i | 0.304768 | + | 0.937980i | ||||
\(382\) | 2.80003 | + | 1.49219i | 0.143262 | + | 0.0763473i | ||||
\(383\) | 24.1410 | + | 12.3004i | 1.23355 | + | 0.628524i | 0.944412 | − | 0.328765i | \(-0.106632\pi\) |
0.289135 | + | 0.957288i | \(0.406632\pi\) | |||||||
\(384\) | −1.45303 | + | 11.2200i | −0.0741494 | + | 0.572569i | ||||
\(385\) | −0.464083 | − | 6.72803i | −0.0236519 | − | 0.342892i | ||||
\(386\) | −18.2527 | + | 24.1746i | −0.929038 | + | 1.23045i | ||||
\(387\) | −0.413168 | − | 2.60864i | −0.0210025 | − | 0.132605i | ||||
\(388\) | −15.2971 | − | 16.4664i | −0.776595 | − | 0.835957i | ||||
\(389\) | 14.2557 | + | 19.6212i | 0.722790 | + | 0.994835i | 0.999427 | + | 0.0338608i | \(0.0107803\pi\) |
−0.276636 | + | 0.960975i | \(0.589220\pi\) | |||||||
\(390\) | −7.99173 | − | 5.21138i | −0.404677 | − | 0.263889i | ||||
\(391\) | 0.0899988 | − | 0.123873i | 0.00455143 | − | 0.00626451i | ||||
\(392\) | 13.1977 | − | 5.83123i | 0.666585 | − | 0.294522i | ||||
\(393\) | −5.47457 | − | 5.47457i | −0.276156 | − | 0.276156i | ||||
\(394\) | −16.5378 | + | 11.5566i | −0.833160 | + | 0.582213i | ||||
\(395\) | 2.38490 | − | 26.9660i | 0.119997 | − | 1.35681i | ||||
\(396\) | 4.21024 | − | 1.19866i | 0.211573 | − | 0.0602351i | ||||
\(397\) | −3.70159 | − | 7.26479i | −0.185778 | − | 0.364609i | 0.779268 | − | 0.626691i | \(-0.215591\pi\) |
−0.965046 | + | 0.262081i | \(0.915591\pi\) | |||||||
\(398\) | −1.07607 | − | 7.70945i | −0.0539383 | − | 0.386440i | ||||
\(399\) | −11.6782 | −0.584642 | ||||||||
\(400\) | 10.6944 | − | 16.9006i | 0.534718 | − | 0.845031i | ||||
\(401\) | −10.7338 | −0.536021 | −0.268010 | − | 0.963416i | \(-0.586366\pi\) | ||||
−0.268010 | + | 0.963416i | \(0.586366\pi\) | |||||||
\(402\) | −1.39932 | − | 10.0254i | −0.0697915 | − | 0.500020i | ||||
\(403\) | −6.02624 | − | 11.8272i | −0.300189 | − | 0.589153i | ||||
\(404\) | −3.21389 | + | 0.914999i | −0.159897 | + | 0.0455229i | ||||
\(405\) | 1.14985 | + | 1.91777i | 0.0571364 | + | 0.0952948i | ||||
\(406\) | −15.7413 | + | 11.0000i | −0.781226 | + | 0.545921i | ||||
\(407\) | 10.9212 | + | 10.9212i | 0.541342 | + | 0.541342i | ||||
\(408\) | 0.487656 | − | 0.215464i | 0.0241426 | − | 0.0106671i | ||||
\(409\) | −13.5189 | + | 18.6072i | −0.668468 | + | 0.920068i | −0.999724 | − | 0.0234733i | \(-0.992528\pi\) |
0.331256 | + | 0.943541i | \(0.392528\pi\) | |||||||
\(410\) | 2.99759 | − | 11.1032i | 0.148040 | − | 0.548347i | ||||
\(411\) | 8.83496 | + | 12.1603i | 0.435796 | + | 0.599822i | ||||
\(412\) | 25.2907 | + | 27.2239i | 1.24598 | + | 1.34122i | ||||
\(413\) | 1.26513 | + | 7.98770i | 0.0622528 | + | 0.393049i | ||||
\(414\) | −0.692225 | + | 0.916810i | −0.0340210 | + | 0.0450588i | ||||
\(415\) | −16.7056 | − | 4.18195i | −0.820047 | − | 0.205284i | ||||
\(416\) | 11.2577 | − | 12.8276i | 0.551954 | − | 0.628926i | ||||
\(417\) | 18.0781 | + | 9.21124i | 0.885287 | + | 0.451076i | ||||
\(418\) | 23.1513 | + | 12.3379i | 1.13237 | + | 0.603464i | ||||
\(419\) | 3.26817 | + | 10.0584i | 0.159661 | + | 0.491385i | 0.998603 | − | 0.0528349i | \(-0.0168257\pi\) |
−0.838943 | + | 0.544220i | \(0.816826\pi\) | |||||||
\(420\) | 1.15869 | + | 6.05246i | 0.0565381 | + | 0.295330i | ||||
\(421\) | 2.11626 | − | 6.51318i | 0.103140 | − | 0.317433i | −0.886149 | − | 0.463400i | \(-0.846629\pi\) |
0.989289 | + | 0.145967i | \(0.0466293\pi\) | |||||||
\(422\) | 27.5274 | − | 26.5327i | 1.34001 | − | 1.29159i | ||||
\(423\) | −0.924238 | + | 5.83541i | −0.0449380 | + | 0.283727i | ||||
\(424\) | 16.9889 | + | 13.8372i | 0.825053 | + | 0.671996i | ||||
\(425\) | −0.942283 | − | 0.0182287i | −0.0457074 | − | 0.000884221i | ||||
\(426\) | −13.7916 | + | 4.20228i | −0.668206 | + | 0.203601i | ||||
\(427\) | −4.69316 | − | 0.743323i | −0.227118 | − | 0.0359719i | ||||
\(428\) | −23.6009 | − | 13.1406i | −1.14079 | − | 0.635173i | ||||
\(429\) | −6.28045 | − | 2.04064i | −0.303223 | − | 0.0985231i | ||||
\(430\) | −7.62356 | − | 3.41150i | −0.367641 | − | 0.164517i | ||||
\(431\) | 17.5744 | − | 5.71028i | 0.846531 | − | 0.275054i | 0.146538 | − | 0.989205i | \(-0.453187\pi\) |
0.699992 | + | 0.714150i | \(0.253187\pi\) | |||||||
\(432\) | −3.68790 | + | 1.54900i | −0.177434 | + | 0.0745263i | ||||
\(433\) | −4.07982 | + | 8.00709i | −0.196063 | + | 0.384796i | −0.968018 | − | 0.250882i | \(-0.919279\pi\) |
0.771954 | + | 0.635678i | \(0.219279\pi\) | |||||||
\(434\) | −2.79896 | + | 8.10388i | −0.134354 | + | 0.388999i | ||||
\(435\) | 8.23539 | + | 20.4389i | 0.394857 | + | 0.979969i | ||||
\(436\) | −5.65636 | + | 15.4498i | −0.270890 | + | 0.739912i | ||||
\(437\) | −6.79969 | + | 1.07696i | −0.325273 | + | 0.0515182i | ||||
\(438\) | 0.869262 | − | 0.422951i | 0.0415349 | − | 0.0202094i | ||||
\(439\) | −2.64229 | + | 1.91974i | −0.126110 | + | 0.0916241i | −0.649052 | − | 0.760744i | \(-0.724834\pi\) |
0.522942 | + | 0.852368i | \(0.324834\pi\) | |||||||
\(440\) | 4.09731 | − | 13.2228i | 0.195331 | − | 0.630371i | ||||
\(441\) | 4.12701 | + | 2.99845i | 0.196524 | + | 0.142783i | ||||
\(442\) | −0.791899 | − | 0.140405i | −0.0376668 | − | 0.00667837i | ||||
\(443\) | −1.24003 | + | 1.24003i | −0.0589157 | + | 0.0589157i | −0.735951 | − | 0.677035i | \(-0.763265\pi\) |
0.677035 | + | 0.735951i | \(0.263265\pi\) | |||||||
\(444\) | −11.1046 | − | 8.70969i | −0.527000 | − | 0.413344i | ||||
\(445\) | −14.3251 | − | 12.4764i | −0.679073 | − | 0.591436i | ||||
\(446\) | 20.7127 | + | 0.381115i | 0.980773 | + | 0.0180463i | ||||
\(447\) | −18.1938 | + | 9.27018i | −0.860535 | + | 0.438465i | ||||
\(448\) | −11.0116 | + | 0.514519i | −0.520248 | + | 0.0243087i | ||||
\(449\) | − | 10.2541i | − | 0.483920i | −0.970286 | − | 0.241960i | \(-0.922210\pi\) | ||
0.970286 | − | 0.241960i | \(-0.0777903\pi\) | |||||||
\(450\) | 7.06603 | + | 0.266805i | 0.333096 | + | 0.0125773i | ||||
\(451\) | − | 7.96023i | − | 0.374833i | ||||||
\(452\) | 3.80721 | + | 8.20502i | 0.179076 | + | 0.385932i | ||||
\(453\) | 15.9146 | − | 8.10891i | 0.747735 | − | 0.380990i | ||||
\(454\) | 0.0288518 | − | 1.56802i | 0.00135408 | − | 0.0735908i | ||||
\(455\) | 3.64036 | − | 8.55368i | 0.170663 | − | 0.401002i | ||||
\(456\) | −22.3545 | − | 8.65388i | −1.04685 | − | 0.405255i | ||||
\(457\) | −19.7687 | + | 19.7687i | −0.924739 | + | 0.924739i | −0.997360 | − | 0.0726209i | \(-0.976864\pi\) |
0.0726209 | + | 0.997360i | \(0.476864\pi\) | |||||||
\(458\) | −2.12775 | + | 12.0008i | −0.0994234 | + | 0.560760i | ||||
\(459\) | 0.152493 | + | 0.110793i | 0.00711777 | + | 0.00517136i | ||||
\(460\) | 1.23281 | + | 3.41721i | 0.0574799 | + | 0.159328i | ||||
\(461\) | −17.0739 | + | 12.4049i | −0.795213 | + | 0.577756i | −0.909506 | − | 0.415691i | \(-0.863540\pi\) |
0.114293 | + | 0.993447i | \(0.463540\pi\) | |||||||
\(462\) | 1.86616 | + | 3.83538i | 0.0868216 | + | 0.178438i | ||||
\(463\) | 13.2456 | − | 2.09790i | 0.615577 | − | 0.0974978i | 0.159143 | − | 0.987255i | \(-0.449127\pi\) |
0.456433 | + | 0.889758i | \(0.349127\pi\) | |||||||
\(464\) | −38.2834 | + | 9.39160i | −1.77726 | + | 0.435994i | ||||
\(465\) | 8.33807 | + | 5.22116i | 0.386669 | + | 0.242126i | ||||
\(466\) | −13.4195 | − | 4.63490i | −0.621648 | − | 0.214708i | ||||
\(467\) | −0.0268684 | + | 0.0527322i | −0.00124332 | + | 0.00244016i | −0.891627 | − | 0.452770i | \(-0.850436\pi\) |
0.890384 | + | 0.455210i | \(0.150436\pi\) | |||||||
\(468\) | 5.92106 | + | 1.16255i | 0.273701 | + | 0.0537390i | ||||
\(469\) | 9.38024 | − | 3.04783i | 0.433139 | − | 0.140736i | ||||
\(470\) | 13.8607 | + | 12.5277i | 0.639346 | + | 0.577861i | ||||
\(471\) | −1.72148 | − | 0.559343i | −0.0793216 | − | 0.0257732i | ||||
\(472\) | −3.49739 | + | 16.2276i | −0.160980 | + | 0.746937i | ||||
\(473\) | −5.70972 | − | 0.904331i | −0.262533 | − | 0.0415812i | ||||
\(474\) | 4.99034 | + | 16.3780i | 0.229214 | + | 0.752266i | ||||
\(475\) | 29.3788 | + | 30.5379i | 1.34799 | + | 1.40117i | ||||
\(476\) | 0.289666 | + | 0.431203i | 0.0132768 | + | 0.0197642i | ||||
\(477\) | −1.21185 | + | 7.65133i | −0.0554869 | + | 0.350330i | ||||
\(478\) | 18.9777 | + | 19.6892i | 0.868021 | + | 0.900563i | ||||
\(479\) | 5.52868 | − | 17.0155i | 0.252612 | − | 0.777459i | −0.741679 | − | 0.670755i | \(-0.765970\pi\) |
0.994291 | − | 0.106704i | \(-0.0340297\pi\) | |||||||
\(480\) | −2.26707 | + | 12.4443i | −0.103477 | + | 0.568002i | ||||
\(481\) | 6.57882 | + | 20.2475i | 0.299968 | + | 0.923208i | ||||
\(482\) | 5.97470 | − | 11.2112i | 0.272140 | − | 0.510657i | ||||
\(483\) | −0.997330 | − | 0.508165i | −0.0453801 | − | 0.0231223i | ||||
\(484\) | −0.456850 | + | 12.4101i | −0.0207659 | + | 0.564097i | ||||
\(485\) | −16.1340 | − | 19.2647i | −0.732606 | − | 0.874763i | ||||
\(486\) | −1.12864 | − | 0.852162i | −0.0511960 | − | 0.0386548i | ||||
\(487\) | −5.54853 | − | 35.0320i | −0.251428 | − | 1.58745i | −0.713529 | − | 0.700626i | \(-0.752904\pi\) |
0.462101 | − | 0.886827i | \(-0.347096\pi\) | |||||||
\(488\) | −8.43286 | − | 4.90064i | −0.381738 | − | 0.221841i | ||||
\(489\) | −5.75367 | − | 7.91925i | −0.260190 | − | 0.358121i | ||||
\(490\) | 15.0710 | − | 5.75258i | 0.680840 | − | 0.259875i | ||||
\(491\) | 15.7038 | − | 21.6144i | 0.708703 | − | 0.975446i | −0.291121 | − | 0.956686i | \(-0.594028\pi\) |
0.999824 | − | 0.0187597i | \(-0.00597174\pi\) | |||||||
\(492\) | 0.872797 | + | 7.22113i | 0.0393487 | + | 0.325554i | ||||
\(493\) | 1.31346 | + | 1.31346i | 0.0591554 | + | 0.0591554i | ||||
\(494\) | 20.7132 | + | 29.6410i | 0.931930 | + | 1.33361i | ||||
\(495\) | 4.76985 | − | 1.09646i | 0.214389 | − | 0.0492822i | ||||
\(496\) | −11.3630 | + | 13.4384i | −0.510213 | + | 0.603403i | ||||
\(497\) | −6.37762 | − | 12.5168i | −0.286075 | − | 0.561454i | ||||
\(498\) | 10.7870 | − | 1.50562i | 0.483378 | − | 0.0674687i | ||||
\(499\) | 10.0895 | 0.451667 | 0.225834 | − | 0.974166i | \(-0.427489\pi\) | ||||
0.225834 | + | 0.974166i | \(0.427489\pi\) | |||||||
\(500\) | 12.9119 | − | 18.2560i | 0.577440 | − | 0.816433i | ||||
\(501\) | 14.7965 | 0.661059 | ||||||||
\(502\) | 24.8958 | − | 3.47489i | 1.11115 | − | 0.155092i | ||||
\(503\) | 6.20724 | + | 12.1824i | 0.276767 | + | 0.543186i | 0.986988 | − | 0.160793i | \(-0.0514050\pi\) |
−0.710221 | + | 0.703979i | \(0.751405\pi\) | |||||||
\(504\) | −2.11342 | − | 3.27466i | −0.0941391 | − | 0.145865i | ||||
\(505\) | −3.64106 | + | 0.836983i | −0.162025 | + | 0.0372452i | ||||
\(506\) | 1.44028 | + | 2.06107i | 0.0640281 | + | 0.0916258i | ||||
\(507\) | 2.75586 | + | 2.75586i | 0.122392 | + | 0.122392i | ||||
\(508\) | −38.2235 | + | 4.61996i | −1.69589 | + | 0.204977i | ||||
\(509\) | −6.99440 | + | 9.62697i | −0.310021 | + | 0.426708i | −0.935388 | − | 0.353623i | \(-0.884949\pi\) |
0.625366 | + | 0.780331i | \(0.284949\pi\) | |||||||
\(510\) | 0.556876 | − | 0.212558i | 0.0246589 | − | 0.00941224i | ||||
\(511\) | 0.553639 | + | 0.762019i | 0.0244916 | + | 0.0337098i | ||||
\(512\) | −21.4597 | − | 7.17498i | −0.948395 | − | 0.317092i | ||||
\(513\) | −1.32579 | − | 8.37073i | −0.0585352 | − | 0.369577i | ||||
\(514\) | −0.715420 | − | 0.540168i | −0.0315558 | − | 0.0238258i | ||||
\(515\) | 26.6742 | + | 31.8502i | 1.17541 | + | 1.40349i | ||||
\(516\) | 5.27874 | + | 0.194325i | 0.232383 | + | 0.00855466i | ||||
\(517\) | 11.5221 | + | 5.87083i | 0.506743 | + | 0.258199i | ||||
\(518\) | 6.46711 | − | 12.1352i | 0.284149 | − | 0.533190i | ||||
\(519\) | 0.896186 | + | 2.75818i | 0.0393382 | + | 0.121071i | ||||
\(520\) | 13.3069 | − | 13.6759i | 0.583547 | − | 0.599729i | ||||
\(521\) | 12.1297 | − | 37.3314i | 0.531412 | − | 1.63552i | −0.219865 | − | 0.975530i | \(-0.570562\pi\) |
0.751277 | − | 0.659987i | \(-0.229438\pi\) | |||||||
\(522\) | −9.67167 | − | 10.0343i | −0.423318 | − | 0.439188i | ||||
\(523\) | 1.21229 | − | 7.65409i | 0.0530097 | − | 0.334690i | −0.946904 | − | 0.321518i | \(-0.895807\pi\) |
0.999913 | − | 0.0131723i | \(-0.00419301\pi\) | |||||||
\(524\) | 12.8535 | − | 8.63451i | 0.561508 | − | 0.377200i | ||||
\(525\) | 0.945973 | + | 6.82449i | 0.0412856 | + | 0.297845i | ||||
\(526\) | 8.99625 | + | 29.5252i | 0.392255 | + | 1.28736i | ||||
\(527\) | 0.819085 | + | 0.129730i | 0.0356799 | + | 0.00565114i | ||||
\(528\) | 0.730092 | + | 8.72460i | 0.0317732 | + | 0.379690i | ||||
\(529\) | 21.2467 | + | 6.90348i | 0.923771 | + | 0.300151i | ||||
\(530\) | 18.1740 | + | 16.4262i | 0.789427 | + | 0.713509i | ||||
\(531\) | −5.58181 | + | 1.81364i | −0.242230 | + | 0.0787053i | ||||
\(532\) | 4.49993 | − | 22.9188i | 0.195097 | − | 0.993658i | ||||
\(533\) | 4.98144 | − | 9.77662i | 0.215770 | − | 0.423472i | ||||
\(534\) | 11.3562 | + | 3.92225i | 0.491430 | + | 0.169732i | ||||
\(535\) | −25.5967 | − | 16.0283i | −1.10664 | − | 0.692962i | ||||
\(536\) | 20.2143 | + | 1.11684i | 0.873124 | + | 0.0482403i | ||||
\(537\) | 1.27717 | − | 0.202283i | 0.0551138 | − | 0.00872917i | ||||
\(538\) | −9.11998 | − | 18.7437i | −0.393190 | − | 0.808097i | ||||
\(539\) | 9.03309 | − | 6.56292i | 0.389083 | − | 0.282685i | ||||
\(540\) | −4.20675 | + | 1.51764i | −0.181030 | + | 0.0653090i | ||||
\(541\) | 28.2177 | + | 20.5014i | 1.21317 | + | 0.881423i | 0.995515 | − | 0.0946024i | \(-0.0301580\pi\) |
0.217659 | + | 0.976025i | \(0.430158\pi\) | |||||||
\(542\) | −2.41624 | + | 13.6279i | −0.103786 | + | 0.585367i | ||||
\(543\) | 9.81190 | − | 9.81190i | 0.421069 | − | 0.421069i | ||||
\(544\) | 0.234948 | + | 1.04006i | 0.0100733 | + | 0.0445924i | ||||
\(545\) | −7.20337 | + | 16.9256i | −0.308558 | + | 0.725013i | ||||
\(546\) | −0.108163 | + | 5.87838i | −0.00462894 | + | 0.251571i | ||||
\(547\) | −38.7859 | + | 19.7624i | −1.65837 | + | 0.844980i | −0.663021 | + | 0.748601i | \(0.730726\pi\) |
−0.995345 | + | 0.0963788i | \(0.969274\pi\) | |||||||
\(548\) | −27.2692 | + | 12.6532i | −1.16488 | + | 0.540517i | ||||
\(549\) | − | 3.44836i | − | 0.147172i | ||||||
\(550\) | 5.33464 | − | 14.5285i | 0.227470 | − | 0.619499i | ||||
\(551\) | − | 83.5188i | − | 3.55802i | ||||||
\(552\) | −1.53253 | − | 1.71178i | −0.0652290 | − | 0.0728584i | ||||
\(553\) | −14.8641 | + | 7.57362i | −0.632084 | + | 0.322063i | ||||
\(554\) | −2.84379 | − | 0.0523261i | −0.120821 | − | 0.00222312i | ||||
\(555\) | −11.8984 | − | 10.3629i | −0.505061 | − | 0.439881i | ||||
\(556\) | −25.0433 | + | 31.9294i | −1.06207 | + | 1.35411i | ||||
\(557\) | 21.7905 | − | 21.7905i | 0.923294 | − | 0.923294i | −0.0739668 | − | 0.997261i | \(-0.523566\pi\) |
0.997261 | + | 0.0739668i | \(0.0235659\pi\) | |||||||
\(558\) | −6.12647 | − | 1.08623i | −0.259354 | − | 0.0459838i | ||||
\(559\) | −6.44666 | − | 4.68377i | −0.272665 | − | 0.198103i | ||||
\(560\) | −12.3246 | − | 0.0582189i | −0.520810 | − | 0.00246020i | ||||
\(561\) | 0.333773 | − | 0.242500i | 0.0140919 | − | 0.0102384i | ||||
\(562\) | −27.8267 | + | 13.5394i | −1.17380 | + | 0.571127i | ||||
\(563\) | 6.93499 | − | 1.09839i | 0.292275 | − | 0.0462918i | −0.00857524 | − | 0.999963i | \(-0.502730\pi\) |
0.300850 | + | 0.953671i | \(0.402730\pi\) | |||||||
\(564\) | −11.0960 | − | 4.06238i | −0.467227 | − | 0.171057i | ||||
\(565\) | 3.77951 | + | 9.38013i | 0.159005 | + | 0.394625i | ||||
\(566\) | −4.85087 | + | 14.0448i | −0.203897 | + | 0.590348i | ||||
\(567\) | 0.625575 | − | 1.22776i | 0.0262717 | − | 0.0515611i | ||||
\(568\) | −2.93281 | − | 28.6857i | −0.123058 | − | 1.20363i | ||||
\(569\) | 7.71221 | − | 2.50585i | 0.323313 | − | 0.105051i | −0.142864 | − | 0.989742i | \(-0.545631\pi\) |
0.466177 | + | 0.884692i | \(0.345631\pi\) | |||||||
\(570\) | −24.4629 | − | 10.9470i | −1.02464 | − | 0.458520i | ||||
\(571\) | −25.4007 | − | 8.25319i | −1.06299 | − | 0.345385i | −0.275234 | − | 0.961377i | \(-0.588755\pi\) |
−0.787753 | + | 0.615992i | \(0.788755\pi\) | |||||||
\(572\) | 6.42485 | − | 11.5393i | 0.268636 | − | 0.482480i | ||||
\(573\) | −2.21590 | − | 0.350964i | −0.0925706 | − | 0.0146617i | ||||
\(574\) | −6.77944 | + | 2.06568i | −0.282968 | + | 0.0862199i | ||||
\(575\) | 1.18015 | + | 3.88635i | 0.0492157 | + | 0.162072i | ||||
\(576\) | −1.61891 | − | 7.83448i | −0.0674546 | − | 0.326437i | ||||
\(577\) | −0.000681884 | 0.00430524i | −2.83872e−5 | 0.000179230i | −0.987703 | − | 0.156345i | \(-0.950029\pi\) | ||
0.987674 | + | 0.156524i | \(0.0500289\pi\) | |||||||
\(578\) | −17.2737 | + | 16.6495i | −0.718491 | + | 0.692528i | ||||
\(579\) | 6.61892 | − | 20.3709i | 0.275073 | − | 0.846588i | ||||
\(580\) | −43.2852 | + | 8.28655i | −1.79732 | + | 0.344080i | ||||
\(581\) | 3.27938 | + | 10.0929i | 0.136051 | + | 0.418723i | ||||
\(582\) | 14.0252 | + | 7.47435i | 0.581365 | + | 0.309822i | ||||
\(583\) | 15.1077 | + | 7.69777i | 0.625698 | + | 0.318809i | ||||
\(584\) | 0.495104 | + | 1.86893i | 0.0204876 | + | 0.0773367i | ||||
\(585\) | 6.54440 | + | 1.63827i | 0.270578 | + | 0.0677342i | ||||
\(586\) | 27.3876 | − | 36.2732i | 1.13137 | − | 1.49843i | ||||
\(587\) | −5.54430 | − | 35.0053i | −0.228838 | − | 1.44482i | −0.787954 | − | 0.615734i | \(-0.788859\pi\) |
0.559116 | − | 0.829089i | \(-0.311141\pi\) | |||||||
\(588\) | −7.47478 | + | 6.94399i | −0.308255 | + | 0.286365i | ||||
\(589\) | −21.9169 | − | 30.1660i | −0.903070 | − | 1.24297i | ||||
\(590\) | −4.83745 | + | 17.9181i | −0.199155 | + | 0.737677i | ||||
\(591\) | 8.38550 | − | 11.5416i | 0.344933 | − | 0.474760i | ||||
\(592\) | 21.3719 | − | 18.4370i | 0.878381 | − | 0.757756i | ||||
\(593\) | 25.8543 | + | 25.8543i | 1.06171 | + | 1.06171i | 0.997966 | + | 0.0637412i | \(0.0203032\pi\) |
0.0637412 | + | 0.997966i | \(0.479697\pi\) | |||||||
\(594\) | −2.53728 | + | 1.77305i | −0.104106 | + | 0.0727491i | ||||
\(595\) | 0.298652 | + | 0.498107i | 0.0122436 | + | 0.0204204i | ||||
\(596\) | −11.1825 | − | 39.2778i | −0.458052 | − | 1.60888i | ||||
\(597\) | 2.49888 | + | 4.90432i | 0.102272 | + | 0.200720i | ||||
\(598\) | 0.479126 | + | 3.43268i | 0.0195929 | + | 0.140373i | ||||
\(599\) | −31.6810 | −1.29445 | −0.647224 | − | 0.762299i | \(-0.724070\pi\) | ||||
−0.647224 | + | 0.762299i | \(0.724070\pi\) | |||||||
\(600\) | −3.24634 | + | 13.7645i | −0.132531 | + | 0.561933i | ||||
\(601\) | 17.3908 | 0.709384 | 0.354692 | − | 0.934983i | \(-0.384586\pi\) | ||||
0.354692 | + | 0.934983i | \(0.384586\pi\) | |||||||
\(602\) | 0.711488 | + | 5.09744i | 0.0289981 | + | 0.207756i | ||||
\(603\) | 3.24954 | + | 6.37758i | 0.132331 | + | 0.259715i | ||||
\(604\) | 9.78165 | + | 34.3575i | 0.398010 | + | 1.39799i | ||||
\(605\) | −1.22317 | + | 13.8304i | −0.0497288 | + | 0.562284i | ||||
\(606\) | 1.93683 | − | 1.35346i | 0.0786783 | − | 0.0549804i | ||||
\(607\) | 17.8670 | + | 17.8670i | 0.725198 | + | 0.725198i | 0.969659 | − | 0.244461i | \(-0.0786111\pi\) |
−0.244461 | + | 0.969659i | \(0.578611\pi\) | |||||||
\(608\) | 25.5973 | − | 40.5369i | 1.03811 | − | 1.64399i | ||||
\(609\) | 7.98164 | − | 10.9858i | 0.323432 | − | 0.445166i | ||||
\(610\) | −9.13419 | − | 5.95638i | −0.369832 | − | 0.241167i | ||||
\(611\) | 10.4774 | + | 14.4209i | 0.423870 | + | 0.583407i | ||||
\(612\) | −0.276194 | + | 0.256581i | −0.0111645 | + | 0.0103717i | ||||
\(613\) | −3.10277 | − | 19.5901i | −0.125320 | − | 0.791238i | −0.967654 | − | 0.252282i | \(-0.918819\pi\) |
0.842334 | − | 0.538956i | \(-0.181181\pi\) | |||||||
\(614\) | 4.60878 | − | 6.10406i | 0.185995 | − | 0.246340i | ||||
\(615\) | 0.559611 | + | 8.11295i | 0.0225657 | + | 0.327146i | ||||
\(616\) | −8.24614 | + | 2.18452i | −0.332246 | + | 0.0880166i | ||||
\(617\) | 11.7364 | + | 5.97999i | 0.472489 | + | 0.240745i | 0.673986 | − | 0.738744i | \(-0.264581\pi\) |
−0.201497 | + | 0.979489i | \(0.564581\pi\) | |||||||
\(618\) | −23.1879 | − | 12.3573i | −0.932752 | − | 0.497084i | ||||
\(619\) | −11.2383 | − | 34.5880i | −0.451706 | − | 1.39021i | −0.874959 | − | 0.484197i | \(-0.839112\pi\) |
0.423252 | − | 0.906012i | \(-0.360888\pi\) | |||||||
\(620\) | −13.4596 | + | 14.3519i | −0.540549 | + | 0.576384i | ||||
\(621\) | 0.251020 | − | 0.772559i | 0.0100731 | − | 0.0310017i | ||||
\(622\) | 20.5015 | − | 19.7607i | 0.822037 | − | 0.792332i | ||||
\(623\) | −1.83128 | + | 11.5622i | −0.0733685 | + | 0.463231i | ||||
\(624\) | −4.56309 | + | 11.1723i | −0.182670 | + | 0.447250i | ||||
\(625\) | 15.4659 | − | 19.6420i | 0.618635 | − | 0.785679i | ||||
\(626\) | 8.37600 | − | 2.55215i | 0.334772 | − | 0.102004i | ||||
\(627\) | −18.3217 | − | 2.90186i | −0.731696 | − | 0.115889i | ||||
\(628\) | 1.76106 | − | 3.16293i | 0.0702739 | − | 0.126214i | ||||
\(629\) | −1.26497 | − | 0.411015i | −0.0504378 | − | 0.0163882i | ||||
\(630\) | −2.17159 | − | 3.77778i | −0.0865183 | − | 0.150510i | ||||
\(631\) | 16.9828 | − | 5.51805i | 0.676075 | − | 0.219670i | 0.0491990 | − | 0.998789i | \(-0.484333\pi\) |
0.626876 | + | 0.779119i | \(0.284333\pi\) | |||||||
\(632\) | −34.0652 | + | 3.48281i | −1.35504 | + | 0.138539i | ||||
\(633\) | −12.2735 | + | 24.0880i | −0.487826 | + | 0.957412i | ||||
\(634\) | −2.79194 | + | 8.08355i | −0.110882 | + | 0.321039i | ||||
\(635\) | −42.9441 | + | 2.96218i | −1.70419 | + | 0.117550i | ||||
\(636\) | −14.5490 | − | 5.32656i | −0.576905 | − | 0.211212i | ||||
\(637\) | 15.2013 | − | 2.40765i | 0.602297 | − | 0.0953945i | ||||
\(638\) | −27.4294 | + | 13.3462i | −1.08594 | + | 0.528380i | ||||
\(639\) | 8.24777 | − | 5.99235i | 0.326277 | − | 0.237054i | ||||
\(640\) | −23.5487 | − | 9.24432i | −0.930845 | − | 0.365414i | ||||
\(641\) | −33.0212 | − | 23.9913i | −1.30426 | − | 0.947601i | −0.304273 | − | 0.952585i | \(-0.598414\pi\) |
−0.999988 | + | 0.00498399i | \(0.998414\pi\) | |||||||
\(642\) | 18.8074 | + | 3.33458i | 0.742270 | + | 0.131605i | ||||
\(643\) | 17.9239 | − | 17.9239i | 0.706849 | − | 0.706849i | −0.259022 | − | 0.965871i | \(-0.583400\pi\) |
0.965871 | + | 0.259022i | \(0.0834003\pi\) | |||||||
\(644\) | 1.38159 | − | 1.76148i | 0.0544422 | − | 0.0694121i | ||||
\(645\) | 5.88284 | + | 0.520283i | 0.231637 | + | 0.0204861i | ||||
\(646\) | −2.25880 | − | 0.0415622i | −0.0888713 | − | 0.00163524i | ||||
\(647\) | 6.51150 | − | 3.31778i | 0.255994 | − | 0.130435i | −0.321285 | − | 0.946983i | \(-0.604115\pi\) |
0.577278 | + | 0.816547i | \(0.304115\pi\) | |||||||
\(648\) | 2.10729 | − | 1.88662i | 0.0827820 | − | 0.0741135i | ||||
\(649\) | 12.8461i | 0.504252i | ||||||||
\(650\) | 15.6437 | − | 14.5053i | 0.613598 | − | 0.568946i | ||||
\(651\) | − | 6.06247i | − | 0.237607i | ||||||
\(652\) | 17.7588 | − | 8.24025i | 0.695489 | − | 0.322713i | ||||
\(653\) | −32.5633 | + | 16.5918i | −1.27430 | + | 0.649289i | −0.954504 | − | 0.298197i | \(-0.903615\pi\) |
−0.319797 | + | 0.947486i | \(0.603615\pi\) | |||||||
\(654\) | 0.214027 | − | 11.6318i | 0.00836913 | − | 0.454841i | ||||
\(655\) | 14.8478 | − | 8.90237i | 0.580151 | − | 0.347845i | ||||
\(656\) | −14.5080 | − | 1.06961i | −0.566442 | − | 0.0417611i | ||||
\(657\) | −0.483349 | + | 0.483349i | −0.0188572 | + | 0.0188572i | ||||
\(658\) | 2.00997 | − | 11.3365i | 0.0783569 | − | 0.441942i | ||||
\(659\) | −24.2501 | − | 17.6187i | −0.944650 | − | 0.686328i | 0.00488562 | − | 0.999988i | \(-0.498445\pi\) |
−0.949535 | + | 0.313660i | \(0.898445\pi\) | |||||||
\(660\) | 0.313886 | + | 9.78346i | 0.0122180 | + | 0.380821i | ||||
\(661\) | 18.1452 | − | 13.1832i | 0.705766 | − | 0.512769i | −0.176039 | − | 0.984383i | \(-0.556329\pi\) |
0.881805 | + | 0.471614i | \(0.156329\pi\) | |||||||
\(662\) | −0.504168 | − | 1.03618i | −0.0195951 | − | 0.0402723i | ||||
\(663\) | 0.561689 | − | 0.0889628i | 0.0218142 | − | 0.00345503i | ||||
\(664\) | −1.20169 | + | 21.7500i | −0.0466347 | + | 0.844063i | ||||
\(665\) | 6.34131 | − | 25.3316i | 0.245905 | − | 0.982318i | ||||
\(666\) | 9.43248 | + | 3.25784i | 0.365501 | + | 0.126239i | ||||
\(667\) | 3.63423 | − | 7.13258i | 0.140718 | − | 0.276175i | ||||
\(668\) | −5.70149 | + | 29.0386i | −0.220597 | + | 1.12354i | ||||
\(669\) | −13.9316 | + | 4.52665i | −0.538626 | + | 0.175010i | ||||
\(670\) | 22.5062 | + | 2.40850i | 0.869491 | + | 0.0930486i | ||||
\(671\) | −7.17827 | − | 2.33236i | −0.277114 | − | 0.0900398i | ||||
\(672\) | 7.24097 | − | 2.88583i | 0.279327 | − | 0.111323i | ||||
\(673\) | 35.5839 | + | 5.63594i | 1.37166 | + | 0.217250i | 0.798402 | − | 0.602125i | \(-0.205679\pi\) |
0.573258 | + | 0.819375i | \(0.305679\pi\) | |||||||
\(674\) | 0.424936 | + | 1.39461i | 0.0163679 | + | 0.0537185i | ||||
\(675\) | −4.78428 | + | 1.45282i | −0.184147 | + | 0.0559191i | ||||
\(676\) | −6.47037 | + | 4.34655i | −0.248860 | + | 0.167175i | ||||
\(677\) | −5.41952 | + | 34.2175i | −0.208289 | + | 1.31508i | 0.632854 | + | 0.774271i | \(0.281883\pi\) |
−0.841143 | + | 0.540813i | \(0.818117\pi\) | |||||||
\(678\) | −4.43868 | − | 4.60508i | −0.170466 | − | 0.176857i | ||||
\(679\) | −4.78513 | + | 14.7271i | −0.183636 | + | 0.565175i | ||||
\(680\) | 0.202573 | + | 1.17479i | 0.00776831 | + | 0.0450511i | ||||
\(681\) | 0.342683 | + | 1.05467i | 0.0131316 | + | 0.0404150i | ||||
\(682\) | −6.40491 | + | 12.0185i | −0.245257 | + | 0.460211i | ||||
\(683\) | −12.3613 | − | 6.29842i | −0.472994 | − | 0.241002i | 0.201210 | − | 0.979548i | \(-0.435513\pi\) |
−0.674203 | + | 0.738546i | \(0.735513\pi\) | |||||||
\(684\) | 16.9387 | + | 0.623559i | 0.647667 | + | 0.0238424i | ||||
\(685\) | −31.1747 | + | 12.5611i | −1.19112 | + | 0.479937i | ||||
\(686\) | −18.8199 | − | 14.2097i | −0.718547 | − | 0.542529i | ||||
\(687\) | −1.34818 | − | 8.51208i | −0.0514363 | − | 0.324756i | ||||
\(688\) | −2.41541 | + | 10.2848i | −0.0920865 | + | 0.392104i | ||||
\(689\) | 13.7379 | + | 18.9085i | 0.523371 | + | 0.720358i | ||||
\(690\) | −1.61281 | − | 1.99936i | −0.0613984 | − | 0.0761144i | ||||
\(691\) | −9.09380 | + | 12.5165i | −0.345944 | + | 0.476152i | −0.946166 | − | 0.323682i | \(-0.895079\pi\) |
0.600221 | + | 0.799834i | \(0.295079\pi\) | |||||||
\(692\) | −5.75833 | + | 0.695992i | −0.218899 | + | 0.0264576i | ||||
\(693\) | −2.13265 | − | 2.13265i | −0.0810125 | − | 0.0810125i | ||||
\(694\) | 28.4617 | + | 40.7293i | 1.08039 | + | 1.54606i | ||||
\(695\) | −29.7969 | + | 34.2121i | −1.13026 | + | 1.29774i | ||||
\(696\) | 23.4193 | − | 15.1145i | 0.887706 | − | 0.572913i | ||||
\(697\) | 0.311218 | + | 0.610799i | 0.0117882 | + | 0.0231357i | ||||
\(698\) | −26.5314 | + | 3.70319i | −1.00423 | + | 0.140168i | ||||
\(699\) | 10.0391 | 0.379713 | ||||||||
\(700\) | −13.7578 | − | 0.773159i | −0.519995 | − | 0.0292226i | ||||
\(701\) | 26.8425 | 1.01383 | 0.506915 | − | 0.861996i | \(-0.330786\pi\) | ||||
0.506915 | + | 0.861996i | \(0.330786\pi\) | |||||||
\(702\) | −4.22580 | + | 0.589826i | −0.159492 | + | 0.0222616i | ||||
\(703\) | 27.1502 | + | 53.2853i | 1.02399 | + | 2.00969i | ||||
\(704\) | −17.4036 | − | 1.92900i | −0.655924 | − | 0.0727018i | ||||
\(705\) | −12.1559 | − | 5.17344i | −0.457819 | − | 0.194843i | ||||
\(706\) | −24.5268 | − | 35.0984i | −0.923078 | − | 1.32095i | ||||
\(707\) | 1.62796 | + | 1.62796i | 0.0612256 | + | 0.0612256i | ||||
\(708\) | −1.40850 | − | 11.6533i | −0.0529347 | − | 0.437958i | ||||
\(709\) | 17.6460 | − | 24.2876i | 0.662708 | − | 0.912139i | −0.336859 | − | 0.941555i | \(-0.609365\pi\) |
0.999567 | + | 0.0294156i | \(0.00936463\pi\) | |||||||
\(710\) | −1.62641 | − | 32.1977i | −0.0610382 | − | 1.20836i | ||||
\(711\) | −7.11611 | − | 9.79448i | −0.266875 | − | 0.367322i | ||||
\(712\) | −12.0734 | + | 20.7755i | −0.452469 | + | 0.778594i | ||||
\(713\) | −0.559081 | − | 3.52990i | −0.0209377 | − | 0.132196i | ||||
\(714\) | −0.293143 | − | 0.221334i | −0.0109706 | − | 0.00828320i | ||||
\(715\) | 7.83673 | − | 12.5151i | 0.293077 | − | 0.468037i | ||||
\(716\) | −0.0951396 | + | 2.58442i | −0.00355553 | + | 0.0965844i | ||||
\(717\) | −17.2292 | − | 8.77869i | −0.643435 | − | 0.327846i | ||||
\(718\) | −7.08159 | + | 13.2882i | −0.264283 | + | 0.495913i | ||||
\(719\) | 9.34020 | + | 28.7462i | 0.348331 | + | 1.07205i | 0.959776 | + | 0.280765i | \(0.0905883\pi\) |
−0.611446 | + | 0.791286i | \(0.709412\pi\) | |||||||
\(720\) | −1.35745 | − | 8.84066i | −0.0505890 | − | 0.329472i | ||||
\(721\) | 7.91123 | − | 24.3483i | 0.294630 | − | 0.906777i | ||||
\(722\) | 51.8461 | + | 53.7898i | 1.92951 | + | 2.00185i | ||||
\(723\) | −1.40525 | + | 8.87240i | −0.0522618 | + | 0.329968i | ||||
\(724\) | 15.4754 | + | 23.0369i | 0.575137 | + | 0.856161i | ||||
\(725\) | −48.8065 | + | 6.76529i | −1.81263 | + | 0.251257i | ||||
\(726\) | −2.55945 | − | 8.39995i | −0.0949900 | − | 0.311751i | ||||
\(727\) | 21.2874 | + | 3.37159i | 0.789505 | + | 0.125045i | 0.538150 | − | 0.842849i | \(-0.319124\pi\) |
0.251356 | + | 0.967895i | \(0.419124\pi\) | |||||||
\(728\) | −11.4948 | − | 2.47737i | −0.426026 | − | 0.0918174i | ||||
\(729\) | 0.951057 | + | 0.309017i | 0.0352243 | + | 0.0114451i | ||||
\(730\) | 0.445426 | + | 2.11521i | 0.0164860 | + | 0.0782874i | ||||
\(731\) | 0.473471 | − | 0.153840i | 0.0175119 | − | 0.00568997i | ||||
\(732\) | 6.76751 | + | 1.32875i | 0.250134 | + | 0.0491118i | ||||
\(733\) | 8.35023 | − | 16.3882i | 0.308423 | − | 0.605314i | −0.683817 | − | 0.729654i | \(-0.739681\pi\) |
0.992240 | + | 0.124340i | \(0.0396813\pi\) | |||||||
\(734\) | 11.6767 | + | 4.03296i | 0.430996 | + | 0.148859i | ||||
\(735\) | −8.74501 | + | 7.32387i | −0.322565 | + | 0.270145i | ||||
\(736\) | 3.94995 | − | 2.34805i | 0.145597 | − | 0.0865502i | ||||
\(737\) | 15.4738 | − | 2.45080i | 0.569984 | − | 0.0902765i | ||||
\(738\) | −2.25029 | − | 4.62487i | −0.0828345 | − | 0.170244i | ||||
\(739\) | −13.9408 | + | 10.1286i | −0.512820 | + | 0.372586i | −0.813892 | − | 0.581016i | \(-0.802655\pi\) |
0.301072 | + | 0.953601i | \(0.402655\pi\) | |||||||
\(740\) | 24.9223 | − | 19.3580i | 0.916163 | − | 0.711612i | ||||
\(741\) | −20.6864 | − | 15.0295i | −0.759933 | − | 0.552124i | ||||
\(742\) | 2.63545 | − | 14.8643i | 0.0967506 | − | 0.545685i | ||||
\(743\) | −5.20068 | + | 5.20068i | −0.190794 | + | 0.190794i | −0.796039 | − | 0.605245i | \(-0.793075\pi\) |
0.605245 | + | 0.796039i | \(0.293075\pi\) | |||||||
\(744\) | 4.49246 | − | 11.6048i | 0.164701 | − | 0.425454i | ||||
\(745\) | −10.2290 | − | 44.4985i | −0.374762 | − | 1.63030i | ||||
\(746\) | −0.467932 | + | 25.4309i | −0.0171322 | + | 0.931092i | ||||
\(747\) | −6.86210 | + | 3.49641i | −0.251071 | + | 0.127927i | ||||
\(748\) | 0.347302 | + | 0.748482i | 0.0126986 | + | 0.0273672i | ||||
\(749\) | 18.6109i | 0.680029i | ||||||||
\(750\) | −4.41562 | + | 15.1823i | −0.161235 | + | 0.554379i | ||||
\(751\) | − | 8.66684i | − | 0.316258i | −0.987418 | − | 0.158129i | \(-0.949454\pi\) | ||
0.987418 | − | 0.158129i | \(-0.0505461\pi\) | |||||||
\(752\) | 12.2482 | − | 20.2109i | 0.446644 | − | 0.737017i | ||||
\(753\) | −15.8373 | + | 8.06951i | −0.577143 | + | 0.294069i | ||||
\(754\) | −42.0403 | − | 0.773546i | −1.53102 | − | 0.0281709i | ||||
\(755\) | 8.94763 | + | 38.9242i | 0.325637 | + | 1.41660i | ||||
\(756\) | 2.16847 | + | 1.70080i | 0.0788663 | + | 0.0618575i | ||||
\(757\) | −19.0390 | + | 19.0390i | −0.691983 | + | 0.691983i | −0.962668 | − | 0.270685i | \(-0.912750\pi\) |
0.270685 | + | 0.962668i | \(0.412750\pi\) | |||||||
\(758\) | −0.399466 | − | 0.0708258i | −0.0145092 | − | 0.00257251i | ||||
\(759\) | −1.43841 | − | 1.04507i | −0.0522111 | − | 0.0379336i | ||||
\(760\) | 30.9100 | − | 43.7909i | 1.12122 | − | 1.58846i | ||||
\(761\) | 15.8475 | − | 11.5139i | 0.574471 | − | 0.417377i | −0.262256 | − | 0.964998i | \(-0.584466\pi\) |
0.836726 | + | 0.547621i | \(0.184466\pi\) | |||||||
\(762\) | 24.4807 | − | 11.9114i | 0.886844 | − | 0.431506i | ||||
\(763\) | 11.1959 | − | 1.77326i | 0.405320 | − | 0.0641963i | ||||
\(764\) | 1.54262 | − | 4.21354i | 0.0558102 | − | 0.152440i | ||||
\(765\) | −0.323129 | + | 0.270617i | −0.0116827 | + | 0.00978419i | ||||
\(766\) | 12.5090 | − | 36.2174i | 0.451967 | − | 1.30859i | ||||
\(767\) | −8.03894 | + | 15.7773i | −0.290269 | + | 0.569686i | ||||
\(768\) | 15.9992 | − | 0.158322i | 0.577322 | − | 0.00571295i | ||||
\(769\) | −41.2874 | + | 13.4151i | −1.48886 | + | 0.483760i | −0.936747 | − | 0.350008i | \(-0.886179\pi\) |
−0.552114 | + | 0.833768i | \(0.686179\pi\) | |||||||
\(770\) | −9.33280 | + | 1.96532i | −0.336331 | + | 0.0708254i | ||||
\(771\) | 0.602855 | + | 0.195880i | 0.0217113 | + | 0.00705443i | ||||
\(772\) | 37.4281 | + | 20.8393i | 1.34707 | + | 0.750023i | ||||
\(773\) | −21.5334 | − | 3.41055i | −0.774501 | − | 0.122669i | −0.243341 | − | 0.969941i | \(-0.578244\pi\) |
−0.531160 | + | 0.847272i | \(0.678244\pi\) | |||||||
\(774\) | −3.57298 | + | 1.08868i | −0.128428 | + | 0.0391318i | ||||
\(775\) | −15.8530 | + | 15.2513i | −0.569457 | + | 0.547842i | ||||
\(776\) | −20.0729 | + | 24.6449i | −0.720577 | + | 0.884699i | ||||
\(777\) | −1.52106 | + | 9.60363i | −0.0545679 | + | 0.344528i | ||||
\(778\) | 24.6952 | − | 23.8029i | 0.885367 | − | 0.853374i | ||||
\(779\) | 9.52469 | − | 29.3140i | 0.341257 | − | 1.05028i | ||||
\(780\) | −5.73689 | + | 12.2123i | −0.205414 | + | 0.437271i | ||||
\(781\) | −6.89544 | − | 21.2220i | −0.246738 | − | 0.759383i | ||||
\(782\) | −0.191095 | − | 0.101839i | −0.00683355 | − | 0.00364175i | ||||
\(783\) | 8.78054 | + | 4.47391i | 0.313791 | + | 0.159885i | ||||
\(784\) | −10.7476 | − | 17.3452i | −0.383841 | − | 0.619471i | ||||
\(785\) | 2.14806 | − | 3.43040i | 0.0766675 | − | 0.122436i | ||||
\(786\) | −6.59762 | + | 8.73814i | −0.235329 | + | 0.311679i | ||||
\(787\) | −0.225440 | − | 1.42337i | −0.00803607 | − | 0.0507377i | 0.983344 | − | 0.181752i | \(-0.0581767\pi\) |
−0.991381 | + | 0.131014i | \(0.958177\pi\) | |||||||
\(788\) | 19.4197 | + | 20.9041i | 0.691797 | + | 0.744677i | ||||
\(789\) | −12.8285 | − | 17.6569i | −0.456705 | − | 0.628601i | ||||
\(790\) | −38.2358 | + | 1.93142i | −1.36037 | + | 0.0687167i | ||||
\(791\) | 3.66306 | − | 5.04177i | 0.130243 | − | 0.179265i | ||||
\(792\) | −2.50198 | − | 5.66268i | −0.0889041 | − | 0.201215i | ||||
\(793\) | −7.35666 | − | 7.35666i | −0.261243 | − | 0.261243i | ||||
\(794\) | −9.45167 | + | 6.60483i | −0.335427 | + | 0.234397i | ||||
\(795\) | −15.9387 | − | 6.78337i | −0.565288 | − | 0.240581i | ||||
\(796\) | −10.5878 | + | 3.01435i | −0.375273 | + | 0.106841i | ||||
\(797\) | 1.09624 | + | 2.15150i | 0.0388310 | + | 0.0762101i | 0.909607 | − | 0.415470i | \(-0.136383\pi\) |
−0.870776 | + | 0.491680i | \(0.836383\pi\) | |||||||
\(798\) | 2.28306 | + | 16.3569i | 0.0808194 | + | 0.579029i | ||||
\(799\) | −1.11364 | −0.0393977 | ||||||||
\(800\) | −25.7623 | − | 11.6749i | −0.910836 | − | 0.412769i | ||||
\(801\) | −8.49549 | −0.300173 | ||||||||
\(802\) | 2.09843 | + | 15.0342i | 0.0740982 | + | 0.530875i | ||||
\(803\) | 0.679240 | + | 1.33308i | 0.0239699 | + | 0.0470435i | ||||
\(804\) | −13.7683 | + | 3.91986i | −0.485571 | + | 0.138243i | ||||
\(805\) | 1.64383 | − | 1.88741i | 0.0579375 | − | 0.0665224i | ||||
\(806\) | −15.3874 | + | 10.7528i | −0.542000 | + | 0.378750i | ||||
\(807\) | 10.4223 | + | 10.4223i | 0.366883 | + | 0.366883i | ||||
\(808\) | 1.90989 | + | 4.32261i | 0.0671896 | + | 0.152069i | ||||
\(809\) | 24.1930 | − | 33.2989i | 0.850582 | − | 1.17073i | −0.133153 | − | 0.991096i | \(-0.542510\pi\) |
0.983734 | − | 0.179630i | \(-0.0574900\pi\) | |||||||
\(810\) | 2.46131 | − | 1.98544i | 0.0864815 | − | 0.0697612i | ||||
\(811\) | −11.0110 | − | 15.1553i | −0.386647 | − | 0.532174i | 0.570683 | − | 0.821170i | \(-0.306678\pi\) |
−0.957330 | + | 0.288996i | \(0.906678\pi\) | |||||||
\(812\) | 18.4844 | + | 19.8973i | 0.648675 | + | 0.698259i | ||||
\(813\) | −1.53097 | − | 9.66615i | −0.0536934 | − | 0.339007i | ||||
\(814\) | 13.1615 | − | 17.4316i | 0.461311 | − | 0.610978i | ||||
\(815\) | 20.3022 | − | 8.18031i | 0.711155 | − | 0.286544i | ||||
\(816\) | −0.397123 | − | 0.640906i | −0.0139021 | − | 0.0224362i | ||||
\(817\) | −19.9443 | − | 10.1621i | −0.697762 | − | 0.355528i | ||||
\(818\) | 28.7048 | + | 15.2974i | 1.00364 | + | 0.534862i | ||||
\(819\) | −1.28469 | − | 3.95387i | −0.0448907 | − | 0.138159i | ||||
\(820\) | −16.1375 | − | 2.02789i | −0.563547 | − | 0.0708168i | ||||
\(821\) | −10.6762 | + | 32.8579i | −0.372601 | + | 1.14675i | 0.572482 | + | 0.819918i | \(0.305981\pi\) |
−0.945083 | + | 0.326831i | \(0.894019\pi\) | |||||||
\(822\) | 15.3049 | − | 14.7519i | 0.533820 | − | 0.514530i | ||||
\(823\) | −6.73632 | + | 42.5315i | −0.234814 | + | 1.48255i | 0.535308 | + | 0.844657i | \(0.320196\pi\) |
−0.770121 | + | 0.637897i | \(0.779804\pi\) | |||||||
\(824\) | 33.1865 | − | 40.7452i | 1.15611 | − | 1.41943i | ||||
\(825\) | −0.211672 | + | 10.9418i | −0.00736948 | + | 0.380946i | ||||
\(826\) | 10.9405 | − | 3.33356i | 0.380670 | − | 0.115989i | ||||
\(827\) | 13.5505 | + | 2.14619i | 0.471198 | + | 0.0746304i | 0.387518 | − | 0.921862i | \(-0.373333\pi\) |
0.0836802 | + | 0.996493i | \(0.473333\pi\) | |||||||
\(828\) | 1.41945 | + | 0.790321i | 0.0493291 | + | 0.0274656i | ||||
\(829\) | 52.3835 | + | 17.0204i | 1.81936 | + | 0.591144i | 0.999836 | + | 0.0180928i | \(0.00575944\pi\) |
0.819519 | + | 0.573052i | \(0.194241\pi\) | |||||||
\(830\) | −2.59148 | + | 24.2160i | −0.0899516 | + | 0.840551i | ||||
\(831\) | 1.91277 | − | 0.621496i | 0.0663532 | − | 0.0215595i | ||||
\(832\) | −20.1677 | − | 13.2602i | −0.699189 | − | 0.459714i | ||||
\(833\) | −0.436533 | + | 0.856744i | −0.0151250 | + | 0.0296844i | ||||
\(834\) | 9.36738 | − | 27.1216i | 0.324366 | − | 0.939143i | ||||
\(835\) | −8.03455 | + | 32.0956i | −0.278047 | + | 1.11071i | ||||
\(836\) | 12.7548 | − | 34.8386i | 0.441135 | − | 1.20492i | ||||
\(837\) | 4.34547 | − | 0.688255i | 0.150201 | − | 0.0237896i | ||||
\(838\) | 13.4492 | − | 6.54391i | 0.464596 | − | 0.226056i | ||||
\(839\) | −23.0160 | + | 16.7221i | −0.794601 | + | 0.577312i | −0.909325 | − | 0.416086i | \(-0.863402\pi\) |
0.114724 | + | 0.993397i | \(0.463402\pi\) | |||||||
\(840\) | 8.25077 | − | 2.80614i | 0.284679 | − | 0.0968209i | ||||
\(841\) | 55.1053 | + | 40.0363i | 1.90018 | + | 1.38056i | ||||
\(842\) | −9.53632 | − | 1.69080i | −0.328643 | − | 0.0582689i | ||||
\(843\) | 15.4729 | − | 15.4729i | 0.532914 | − | 0.532914i | ||||
\(844\) | −42.5441 | − | 33.3688i | −1.46443 | − | 1.14860i | ||||
\(845\) | −7.47428 | + | 4.48139i | −0.257123 | + | 0.154165i | ||||
\(846\) | 8.35397 | + | 0.153714i | 0.287215 | + | 0.00528480i | ||||
\(847\) | 7.62349 | − | 3.88436i | 0.261946 | − | 0.133468i | ||||
\(848\) | 16.0596 | − | 26.5004i | 0.551491 | − | 0.910027i | ||||
\(849\) | − | 10.5069i | − | 0.360595i | ||||||
\(850\) | 0.158682 | + | 1.32336i | 0.00544275 | + | 0.0453908i | ||||
\(851\) | 5.73202i | 0.196491i | ||||||||
\(852\) | 8.58209 | + | 18.4955i | 0.294017 | + | 0.633646i | ||||
\(853\) | −24.4934 | + | 12.4800i | −0.838637 | + | 0.427307i | −0.819892 | − | 0.572518i | \(-0.805967\pi\) |
−0.0187443 | + | 0.999824i | \(0.505967\pi\) | |||||||
\(854\) | −0.123625 | + | 6.71872i | −0.00423037 | + | 0.229910i | ||||
\(855\) | 18.8772 | + | 1.66951i | 0.645585 | + | 0.0570961i | ||||
\(856\) | −13.7912 | + | 35.6252i | −0.471374 | + | 1.21765i | ||||
\(857\) | 1.72854 | − | 1.72854i | 0.0590459 | − | 0.0590459i | −0.676967 | − | 0.736013i | \(-0.736706\pi\) |
0.736013 | + | 0.676967i | \(0.236706\pi\) | |||||||
\(858\) | −1.63038 | + | 9.19556i | −0.0556604 | + | 0.313931i | ||||
\(859\) | −34.6723 | − | 25.1909i | −1.18300 | − | 0.859502i | −0.190495 | − | 0.981688i | \(-0.561009\pi\) |
−0.992507 | + | 0.122186i | \(0.961009\pi\) | |||||||
\(860\) | −3.28789 | + | 11.3448i | −0.112116 | + | 0.386854i | ||||
\(861\) | 4.05429 | − | 2.94562i | 0.138170 | − | 0.100386i | ||||
\(862\) | −11.4338 | − | 23.4990i | −0.389436 | − | 0.800380i | ||||
\(863\) | 15.8885 | − | 2.51648i | 0.540849 | − | 0.0856621i | 0.119968 | − | 0.992778i | \(-0.461721\pi\) |
0.420881 | + | 0.907116i | \(0.361721\pi\) | |||||||
\(864\) | 2.89056 | + | 4.86258i | 0.0983388 | + | 0.165428i | ||||
\(865\) | −6.46949 | + | 0.446249i | −0.219969 | + | 0.0151729i | ||||
\(866\) | 12.0126 | + | 4.14897i | 0.408205 | + | 0.140988i | ||||
\(867\) | 7.70171 | − | 15.1155i | 0.261564 | − | 0.513348i | ||||
\(868\) | 11.8978 | + | 2.33603i | 0.403837 | + | 0.0792901i | ||||
\(869\) | −25.2018 | + | 8.18856i | −0.854912 | + | 0.277778i | ||||
\(870\) | 27.0174 | − | 15.5305i | 0.915977 | − | 0.526534i | ||||
\(871\) | 20.5383 | + | 6.67330i | 0.695914 | + | 0.226116i | ||||
\(872\) | 22.7454 | + | 4.90210i | 0.770256 | + | 0.166006i | ||||
\(873\) | −11.0994 | − | 1.75797i | −0.375657 | − | 0.0594982i | ||||
\(874\) | 2.83776 | + | 9.31334i | 0.0959885 | + | 0.315029i | ||||
\(875\) | −15.3169 | − | 1.65378i | −0.517806 | − | 0.0559079i | ||||
\(876\) | −0.762339 | − | 1.13483i | −0.0257570 | − | 0.0383425i | ||||
\(877\) | 0.650180 | − | 4.10507i | 0.0219550 | − | 0.138619i | −0.974276 | − | 0.225358i | \(-0.927645\pi\) |
0.996231 | + | 0.0867396i | \(0.0276448\pi\) | |||||||
\(878\) | 3.20542 | + | 3.32559i | 0.108178 | + | 0.112233i | ||||
\(879\) | −9.93148 | + | 30.5659i | −0.334980 | + | 1.03096i | ||||
\(880\) | −19.3213 | − | 3.15382i | −0.651321 | − | 0.106315i | ||||
\(881\) | 4.98869 | + | 15.3536i | 0.168073 | + | 0.517276i | 0.999250 | − | 0.0387328i | \(-0.0123321\pi\) |
−0.831176 | + | 0.556009i | \(0.812332\pi\) | |||||||
\(882\) | 3.39291 | − | 6.36662i | 0.114245 | − | 0.214375i | ||||
\(883\) | 4.32760 | + | 2.20502i | 0.145635 | + | 0.0742049i | 0.525289 | − | 0.850924i | \(-0.323957\pi\) |
−0.379654 | + | 0.925128i | \(0.623957\pi\) | |||||||
\(884\) | −0.0418417 | + | 1.13661i | −0.00140729 | + | 0.0382284i | ||||
\(885\) | −0.903089 | − | 13.0925i | −0.0303570 | − | 0.440100i | ||||
\(886\) | 1.97926 | + | 1.49441i | 0.0664944 | + | 0.0502057i | ||||
\(887\) | −1.80433 | − | 11.3921i | −0.0605834 | − | 0.382509i | −0.999286 | − | 0.0377807i | \(-0.987971\pi\) |
0.938703 | − | 0.344728i | \(-0.112029\pi\) | |||||||
\(888\) | −10.0282 | + | 17.2562i | −0.336524 | + | 0.579080i | ||||
\(889\) | 15.5920 | + | 21.4605i | 0.522938 | + | 0.719762i | ||||
\(890\) | −14.6743 | + | 22.5033i | −0.491885 | + | 0.754312i | ||||
\(891\) | 1.28653 | − | 1.77076i | 0.0431004 | − | 0.0593226i | ||||
\(892\) | −3.51547 | − | 29.0854i | −0.117707 | − | 0.973851i | ||||
\(893\) | 35.4063 | + | 35.4063i | 1.18483 | + | 1.18483i | ||||
\(894\) | 16.5410 | + | 23.6705i | 0.553213 | + | 0.791661i | ||||
\(895\) | −0.254726 | + | 2.88019i | −0.00851455 | + | 0.0962740i | ||||
\(896\) | 2.87339 | + | 15.3226i | 0.0959931 | + | 0.511893i | ||||
\(897\) | −1.11264 | − | 2.18368i | −0.0371500 | − | 0.0729110i | ||||
\(898\) | −14.3622 | + | 2.00465i | −0.479274 | + | 0.0668959i | ||||
\(899\) | 43.3568 | 1.44603 | ||||||||
\(900\) | −1.00769 | − | 9.94910i | −0.0335898 | − | 0.331637i | ||||
\(901\) | −1.46019 | −0.0486460 | ||||||||
\(902\) | −11.1494 | + | 1.55620i | −0.371234 | + | 0.0518159i | ||||
\(903\) | −1.65224 | − | 3.24271i | −0.0549832 | − | 0.107911i | ||||
\(904\) | 10.7480 | − | 6.93657i | 0.357472 | − | 0.230707i | ||||
\(905\) | 15.9554 | + | 26.6112i | 0.530377 | + | 0.884588i | ||||
\(906\) | −14.4689 | − | 20.7053i | −0.480697 | − | 0.687889i | ||||
\(907\) | −23.8427 | − | 23.8427i | −0.791685 | − | 0.791685i | 0.190083 | − | 0.981768i | \(-0.439124\pi\) |
−0.981768 | + | 0.190083i | \(0.939124\pi\) | |||||||
\(908\) | −2.20187 | + | 0.266133i | −0.0730715 | + | 0.00883193i | ||||
\(909\) | −0.982072 | + | 1.35171i | −0.0325733 | + | 0.0448333i | ||||
\(910\) | −12.6923 | − | 3.42660i | −0.420744 | − | 0.113591i | ||||
\(911\) | 6.33940 | + | 8.72543i | 0.210034 | + | 0.289086i | 0.901017 | − | 0.433785i | \(-0.142822\pi\) |
−0.690983 | + | 0.722871i | \(0.742822\pi\) | |||||||
\(912\) | −7.75068 | + | 33.0024i | −0.256651 | + | 1.09282i | ||||
\(913\) | 2.63700 | + | 16.6493i | 0.0872718 | + | 0.551013i | ||||
\(914\) | 31.5534 | + | 23.8240i | 1.04369 | + | 0.788027i | ||||
\(915\) | 7.47996 | + | 1.87247i | 0.247280 | + | 0.0619020i | ||||
\(916\) | 17.2247 | + | 0.634088i | 0.569120 | + | 0.0209508i | ||||
\(917\) | −9.50558 | − | 4.84334i | −0.313902 | − | 0.159941i | ||||
\(918\) | 0.125368 | − | 0.235247i | 0.00413777 | − | 0.00776431i | ||||
\(919\) | 13.2306 | + | 40.7197i | 0.436439 | + | 1.34322i | 0.891605 | + | 0.452814i | \(0.149580\pi\) |
−0.455167 | + | 0.890406i | \(0.650420\pi\) | |||||||
\(920\) | 4.54526 | − | 2.39477i | 0.149853 | − | 0.0789532i | ||||
\(921\) | −1.67127 | + | 5.14364i | −0.0550702 | + | 0.169489i | ||||
\(922\) | 20.7127 | + | 21.4892i | 0.682137 | + | 0.707710i | ||||
\(923\) | 4.81166 | − | 30.3796i | 0.158378 | − | 0.999957i | ||||
\(924\) | 5.00715 | − | 3.36362i | 0.164723 | − | 0.110655i | ||||
\(925\) | 28.9395 | − | 20.1822i | 0.951524 | − | 0.663588i | ||||
\(926\) | −5.52788 | − | 18.1422i | −0.181657 | − | 0.596189i | ||||
\(927\) | 18.3505 | + | 2.90644i | 0.602711 | + | 0.0954600i | ||||
\(928\) | 20.6385 | + | 51.7851i | 0.677493 | + | 1.69993i | ||||
\(929\) | −44.6887 | − | 14.5202i | −1.46619 | − | 0.476394i | −0.536235 | − | 0.844069i | \(-0.680154\pi\) |
−0.929954 | + | 0.367675i | \(0.880154\pi\) | |||||||
\(930\) | 5.68288 | − | 12.6993i | 0.186349 | − | 0.416427i | ||||
\(931\) | 41.1176 | − | 13.3599i | 1.34757 | − | 0.437853i | ||||
\(932\) | −3.86833 | + | 19.7020i | −0.126711 | + | 0.645360i | ||||
\(933\) | −9.14089 | + | 17.9400i | −0.299259 | + | 0.587329i | ||||
\(934\) | 0.0791114 | + | 0.0273239i | 0.00258860 | + | 0.000894064i | ||||
\(935\) | 0.344776 | + | 0.855677i | 0.0112754 | + | 0.0279836i | ||||
\(936\) | 0.470761 | − | 8.52053i | 0.0153873 | − | 0.278502i | ||||
\(937\) | −11.9522 | + | 1.89304i | −0.390460 | + | 0.0618429i | −0.348578 | − | 0.937280i | \(-0.613335\pi\) |
−0.0418822 | + | 0.999123i | \(0.513335\pi\) | |||||||
\(938\) | −6.10271 | − | 12.5425i | −0.199260 | − | 0.409526i | ||||
\(939\) | −5.00908 | + | 3.63931i | −0.163465 | + | 0.118764i | ||||
\(940\) | 14.8370 | − | 21.8629i | 0.483931 | − | 0.713089i | ||||
\(941\) | −14.0733 | − | 10.2249i | −0.458777 | − | 0.333321i | 0.334274 | − | 0.942476i | \(-0.391509\pi\) |
−0.793051 | + | 0.609155i | \(0.791509\pi\) | |||||||
\(942\) | −0.446891 | + | 2.52052i | −0.0145605 | + | 0.0821229i | ||||
\(943\) | 2.08898 | − | 2.08898i | 0.0680267 | − | 0.0680267i | ||||
\(944\) | 23.4127 | + | 1.72611i | 0.762019 | + | 0.0561801i | ||||
\(945\) | 2.32349 | + | 2.02364i | 0.0755831 | + | 0.0658289i | ||||
\(946\) | −0.150403 | + | 8.17404i | −0.00489003 | + | 0.265761i | ||||
\(947\) | −52.5031 | + | 26.7517i | −1.70612 | + | 0.869312i | −0.721982 | + | 0.691912i | \(0.756769\pi\) |
−0.984139 | + | 0.177400i | \(0.943231\pi\) | |||||||
\(948\) | 21.9640 | − | 10.1915i | 0.713357 | − | 0.331004i | ||||
\(949\) | 2.06233i | 0.0669462i | ||||||||
\(950\) | 37.0290 | − | 47.1190i | 1.20138 | − | 1.52874i | ||||
\(951\) | − | 6.04726i | − | 0.196096i | ||||||
\(952\) | 0.547330 | − | 0.490016i | 0.0177391 | − | 0.0158815i | ||||
\(953\) | −15.4975 | + | 7.89635i | −0.502012 | + | 0.255788i | −0.686609 | − | 0.727026i | \(-0.740902\pi\) |
0.184598 | + | 0.982814i | \(0.440902\pi\) | |||||||
\(954\) | 10.9536 | + | 0.201548i | 0.354637 | + | 0.00652537i | ||||
\(955\) | 1.96453 | − | 4.61601i | 0.0635707 | − | 0.149371i | ||||
\(956\) | 23.8673 | − | 30.4301i | 0.771924 | − | 0.984179i | ||||
\(957\) | 15.2520 | − | 15.2520i | 0.493027 | − | 0.493027i | ||||
\(958\) | −24.9134 | − | 4.41717i | −0.804915 | − | 0.142712i | ||||
\(959\) | 16.7562 | + | 12.1741i | 0.541087 | + | 0.393122i | ||||
\(960\) | 17.8731 | + | 0.742516i | 0.576853 | + | 0.0239646i | ||||
\(961\) | −9.41956 | + | 6.84371i | −0.303857 | + | 0.220765i | ||||
\(962\) | 27.0733 | − | 13.1729i | 0.872878 | − | 0.424710i | ||||
\(963\) | −13.3400 | + | 2.11285i | −0.429875 | + | 0.0680855i | ||||
\(964\) | −16.8709 | − | 6.17662i | −0.543374 | − | 0.198936i | ||||
\(965\) | 40.5932 | + | 25.4188i | 1.30674 | + | 0.818261i | ||||
\(966\) | −0.516779 | + | 1.49624i | −0.0166271 | + | 0.0481408i | ||||
\(967\) | 13.5916 | − | 26.6750i | 0.437076 | − | 0.857810i | −0.562444 | − | 0.826835i | \(-0.690139\pi\) |
0.999520 | − | 0.0309748i | \(-0.00986116\pi\) | |||||||
\(968\) | 17.4714 | − | 1.78627i | 0.561551 | − | 0.0574127i | ||||
\(969\) | 1.51930 | − | 0.493649i | 0.0488068 | − | 0.0158583i | ||||
\(970\) | −23.8286 | + | 26.3640i | −0.765091 | + | 0.846498i | ||||
\(971\) | −49.5544 | − | 16.1012i | −1.59028 | − | 0.516712i | −0.625598 | − | 0.780145i | \(-0.715145\pi\) |
−0.964678 | + | 0.263433i | \(0.915145\pi\) | |||||||
\(972\) | −0.972923 | + | 1.74740i | −0.0312065 | + | 0.0560480i | ||||
\(973\) | 27.6137 | + | 4.37357i | 0.885253 | + | 0.140210i | ||||
\(974\) | −47.9824 | + | 14.6201i | −1.53746 | + | 0.468459i | ||||
\(975\) | −7.10726 | + | 13.3061i | −0.227615 | + | 0.426136i | ||||
\(976\) | −5.21540 | + | 12.7694i | −0.166941 | + | 0.408740i | ||||
\(977\) | 1.94136 | − | 12.2573i | 0.0621097 | − | 0.392145i | −0.936976 | − | 0.349394i | \(-0.886388\pi\) |
0.999086 | − | 0.0427516i | \(-0.0136124\pi\) | |||||||
\(978\) | −9.96716 | + | 9.60699i | −0.318715 | + | 0.307198i | ||||
\(979\) | −5.74608 | + | 17.6846i | −0.183646 | + | 0.565203i | ||||
\(980\) | −11.0036 | − | 19.9844i | −0.351498 | − | 0.638379i | ||||
\(981\) | 2.54208 | + | 7.82372i | 0.0811624 | + | 0.249792i | ||||
\(982\) | −33.3440 | − | 17.7698i | −1.06405 | − | 0.567056i | ||||
\(983\) | 42.3922 | + | 21.5999i | 1.35210 | + | 0.688930i | 0.971772 | − | 0.235921i | \(-0.0758106\pi\) |
0.380330 | + | 0.924851i | \(0.375811\pi\) | |||||||
\(984\) | 9.94355 | − | 2.63418i | 0.316989 | − | 0.0839747i | ||||
\(985\) | 20.4820 | + | 24.4564i | 0.652612 | + | 0.779247i | ||||
\(986\) | 1.58291 | − | 2.09646i | 0.0504100 | − | 0.0667650i | ||||
\(987\) | 1.27355 | + | 8.04089i | 0.0405376 | + | 0.255944i | ||||
\(988\) | 37.4669 | − | 34.8064i | 1.19198 | − | 1.10734i | ||||
\(989\) | −1.26107 | − | 1.73571i | −0.0400996 | − | 0.0551924i | ||||
\(990\) | −2.46823 | − | 6.46647i | −0.0784456 | − | 0.205518i | ||||
\(991\) | −9.91043 | + | 13.6405i | −0.314815 | + | 0.433306i | −0.936875 | − | 0.349664i | \(-0.886296\pi\) |
0.622060 | + | 0.782969i | \(0.286296\pi\) | |||||||
\(992\) | 21.0438 | + | 13.2882i | 0.668140 | + | 0.421902i | ||||
\(993\) | 0.576163 | + | 0.576163i | 0.0182840 | + | 0.0182840i | ||||
\(994\) | −16.2846 | + | 11.3797i | −0.516517 | + | 0.360943i | ||||
\(995\) | −11.9950 | + | 2.75734i | −0.380268 | + | 0.0874135i | ||||
\(996\) | −4.21766 | − | 14.8143i | −0.133642 | − | 0.469410i | ||||
\(997\) | −1.23057 | − | 2.41514i | −0.0389727 | − | 0.0764882i | 0.870699 | − | 0.491816i | \(-0.163667\pi\) |
−0.909672 | + | 0.415328i | \(0.863667\pi\) | |||||||
\(998\) | −1.97247 | − | 14.1317i | −0.0624373 | − | 0.447331i | ||||
\(999\) | −7.05639 | −0.223254 |
(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 | 300.2.w.a.223.15 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.523.16 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.223.20 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.523.11 | 240 | |||
25.12 | odd | 20 | inner | 300.2.w.a.187.20 | yes | 240 | |
75.62 | even | 20 | 900.2.bj.f.487.11 | 240 | |||
100.87 | even | 20 | inner | 300.2.w.a.187.15 | ✓ | 240 | |
300.287 | odd | 20 | 900.2.bj.f.487.16 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.187.15 | ✓ | 240 | 100.87 | even | 20 | inner | |
300.2.w.a.187.20 | yes | 240 | 25.12 | odd | 20 | inner | |
300.2.w.a.223.15 | yes | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.223.20 | yes | 240 | 4.3 | odd | 2 | inner | |
900.2.bj.f.487.11 | 240 | 75.62 | even | 20 | |||
900.2.bj.f.487.16 | 240 | 300.287 | odd | 20 | |||
900.2.bj.f.523.11 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.523.16 | 240 | 3.2 | odd | 2 |