Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [109,2,Mod(16,109)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(109, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("109.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 109 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 109.f (of order \(9\), degree \(6\), 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: | \(0.870369382032\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Character | \(\chi\) | \(=\) | 109.16 |
Dual form | 109.2.f.a.75.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/109\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22244 | − | 2.11733i | −0.864396 | − | 1.49718i | −0.867646 | − | 0.497182i | \(-0.834368\pi\) |
0.00325064 | − | 0.999995i | \(-0.498965\pi\) | |||||||
\(3\) | −1.03698 | + | 0.870129i | −0.598700 | + | 0.502369i | −0.891028 | − | 0.453949i | \(-0.850015\pi\) |
0.292327 | + | 0.956318i | \(0.405570\pi\) | |||||||
\(4\) | −1.98872 | + | 3.44456i | −0.994359 | + | 1.72228i | ||||
\(5\) | 0.575007 | + | 3.26103i | 0.257151 | + | 1.45838i | 0.790490 | + | 0.612474i | \(0.209826\pi\) |
−0.533339 | + | 0.845901i | \(0.679063\pi\) | |||||||
\(6\) | 3.10999 | + | 1.13194i | 1.26965 | + | 0.462114i | ||||
\(7\) | 0.0336150 | + | 0.190640i | 0.0127053 | + | 0.0720552i | 0.990501 | − | 0.137504i | \(-0.0439081\pi\) |
−0.977796 | + | 0.209560i | \(0.932797\pi\) | |||||||
\(8\) | 4.83459 | 1.70929 | ||||||||
\(9\) | −0.202743 | + | 1.14981i | −0.0675810 | + | 0.383271i | ||||
\(10\) | 6.20175 | − | 5.20389i | 1.96117 | − | 1.64561i | ||||
\(11\) | −3.01563 | − | 2.53042i | −0.909247 | − | 0.762949i | 0.0627283 | − | 0.998031i | \(-0.480020\pi\) |
−0.971976 | + | 0.235082i | \(0.924464\pi\) | |||||||
\(12\) | −0.934952 | − | 5.30238i | −0.269897 | − | 1.53066i | ||||
\(13\) | 0.533470 | + | 3.02546i | 0.147958 | + | 0.839111i | 0.964944 | + | 0.262454i | \(0.0845318\pi\) |
−0.816987 | + | 0.576657i | \(0.804357\pi\) | |||||||
\(14\) | 0.362556 | − | 0.304220i | 0.0968970 | − | 0.0813063i | ||||
\(15\) | −3.43378 | − | 2.88129i | −0.886599 | − | 0.743945i | ||||
\(16\) | −1.93256 | − | 3.34730i | −0.483141 | − | 0.836825i | ||||
\(17\) | 0.0204085 | + | 0.0353486i | 0.00494979 | + | 0.00857329i | 0.868490 | − | 0.495707i | \(-0.165091\pi\) |
−0.863540 | + | 0.504281i | \(0.831758\pi\) | |||||||
\(18\) | 2.68237 | − | 0.976304i | 0.632241 | − | 0.230117i | ||||
\(19\) | 3.73535 | + | 6.46981i | 0.856947 | + | 1.48428i | 0.874827 | + | 0.484436i | \(0.160975\pi\) |
−0.0178798 | + | 0.999840i | \(0.505692\pi\) | |||||||
\(20\) | −12.3763 | − | 4.50462i | −2.76743 | − | 1.00726i | ||||
\(21\) | −0.200740 | − | 0.168440i | −0.0438050 | − | 0.0367567i | ||||
\(22\) | −1.67129 | + | 9.47836i | −0.356320 | + | 2.02079i | ||||
\(23\) | 3.19297 | − | 5.53038i | 0.665780 | − | 1.15316i | −0.313293 | − | 0.949656i | \(-0.601432\pi\) |
0.979073 | − | 0.203508i | \(-0.0652344\pi\) | |||||||
\(24\) | −5.01337 | + | 4.20672i | −1.02335 | + | 0.858693i | ||||
\(25\) | −5.60520 | + | 2.04013i | −1.12104 | + | 0.408025i | ||||
\(26\) | 5.75375 | − | 4.82797i | 1.12840 | − | 0.946843i | ||||
\(27\) | −2.82076 | − | 4.88571i | −0.542856 | − | 0.940255i | ||||
\(28\) | −0.723523 | − | 0.263341i | −0.136733 | − | 0.0497667i | ||||
\(29\) | −6.07643 | + | 5.09873i | −1.12836 | + | 0.946810i | −0.998997 | − | 0.0447870i | \(-0.985739\pi\) |
−0.129367 | + | 0.991597i | \(0.541295\pi\) | |||||||
\(30\) | −1.90303 | + | 10.7926i | −0.347445 | + | 1.97046i | ||||
\(31\) | −0.699798 | + | 3.96875i | −0.125687 | + | 0.712808i | 0.855210 | + | 0.518282i | \(0.173428\pi\) |
−0.980897 | + | 0.194527i | \(0.937683\pi\) | |||||||
\(32\) | 0.109706 | − | 0.190017i | 0.0193935 | − | 0.0335906i | ||||
\(33\) | 5.32893 | 0.927648 | ||||||||
\(34\) | 0.0498964 | − | 0.0864230i | 0.00855715 | − | 0.0148214i | ||||
\(35\) | −0.602354 | + | 0.219239i | −0.101816 | + | 0.0370581i | ||||
\(36\) | −3.55740 | − | 2.98502i | −0.592901 | − | 0.497503i | ||||
\(37\) | 1.77988 | − | 10.0942i | 0.292611 | − | 1.65948i | −0.384145 | − | 0.923273i | \(-0.625504\pi\) |
0.676756 | − | 0.736208i | \(-0.263385\pi\) | |||||||
\(38\) | 9.13247 | − | 15.8179i | 1.48148 | − | 2.56600i | ||||
\(39\) | −3.18573 | − | 2.67315i | −0.510126 | − | 0.428046i | ||||
\(40\) | 2.77993 | + | 15.7657i | 0.439545 | + | 2.49278i | ||||
\(41\) | −4.24894 | −0.663573 | −0.331786 | − | 0.943355i | \(-0.607651\pi\) | ||||
−0.331786 | + | 0.943355i | \(0.607651\pi\) | |||||||
\(42\) | −0.111252 | + | 0.630940i | −0.0171665 | + | 0.0973561i | ||||
\(43\) | 0.124956 | + | 0.216431i | 0.0190557 | + | 0.0330054i | 0.875396 | − | 0.483407i | \(-0.160601\pi\) |
−0.856340 | + | 0.516412i | \(0.827267\pi\) | |||||||
\(44\) | 14.7134 | − | 5.35525i | 2.21813 | − | 0.807334i | ||||
\(45\) | −3.86615 | −0.576332 | ||||||||
\(46\) | −15.6129 | −2.30199 | ||||||||
\(47\) | 8.85995 | − | 3.22476i | 1.29236 | − | 0.470379i | 0.397857 | − | 0.917448i | \(-0.369754\pi\) |
0.894500 | + | 0.447068i | \(0.147532\pi\) | |||||||
\(48\) | 4.91661 | + | 1.78950i | 0.709652 | + | 0.258292i | ||||
\(49\) | 6.54263 | − | 2.38132i | 0.934662 | − | 0.340189i | ||||
\(50\) | 11.1716 | + | 9.37412i | 1.57991 | + | 1.32570i | ||||
\(51\) | −0.0519210 | − | 0.0188977i | −0.00727039 | − | 0.00264621i | ||||
\(52\) | −11.4823 | − | 4.17921i | −1.59231 | − | 0.579552i | ||||
\(53\) | 1.39405 | + | 7.90606i | 0.191488 | + | 1.08598i | 0.917332 | + | 0.398122i | \(0.130338\pi\) |
−0.725845 | + | 0.687859i | \(0.758551\pi\) | |||||||
\(54\) | −6.89643 | + | 11.9450i | −0.938485 | + | 1.62550i | ||||
\(55\) | 6.51775 | − | 11.2891i | 0.878853 | − | 1.52222i | ||||
\(56\) | 0.162515 | + | 0.921668i | 0.0217170 | + | 0.123163i | ||||
\(57\) | −9.50304 | − | 3.45882i | −1.25871 | − | 0.458132i | ||||
\(58\) | 18.2237 | + | 6.63290i | 2.39289 | + | 0.870942i | ||||
\(59\) | 1.14235 | + | 0.958549i | 0.148722 | + | 0.124792i | 0.714113 | − | 0.700031i | \(-0.246830\pi\) |
−0.565391 | + | 0.824823i | \(0.691275\pi\) | |||||||
\(60\) | 16.7536 | − | 6.09781i | 2.16288 | − | 0.787224i | ||||
\(61\) | 11.4671 | + | 4.17368i | 1.46821 | + | 0.534384i | 0.947614 | − | 0.319419i | \(-0.103488\pi\) |
0.520595 | + | 0.853804i | \(0.325710\pi\) | |||||||
\(62\) | 9.25860 | − | 3.36986i | 1.17584 | − | 0.427972i | ||||
\(63\) | −0.226016 | −0.0284753 | ||||||||
\(64\) | −8.26670 | −1.03334 | ||||||||
\(65\) | −9.55935 | + | 3.47932i | −1.18569 | + | 0.431556i | ||||
\(66\) | −6.51430 | − | 11.2831i | −0.801855 | − | 1.38885i | ||||
\(67\) | −0.424106 | + | 2.40522i | −0.0518127 | + | 0.293845i | −0.999693 | − | 0.0247825i | \(-0.992111\pi\) |
0.947880 | + | 0.318627i | \(0.103222\pi\) | |||||||
\(68\) | −0.162347 | −0.0196875 | ||||||||
\(69\) | 1.50110 | + | 8.51319i | 0.180712 | + | 1.02487i | ||||
\(70\) | 1.20054 | + | 1.00737i | 0.143492 | + | 0.120404i | ||||
\(71\) | 1.99073 | − | 3.44805i | 0.236257 | − | 0.409208i | −0.723381 | − | 0.690450i | \(-0.757413\pi\) |
0.959637 | + | 0.281241i | \(0.0907461\pi\) | |||||||
\(72\) | −0.980181 | + | 5.55888i | −0.115515 | + | 0.655120i | ||||
\(73\) | 1.29330 | + | 1.08521i | 0.151369 | + | 0.127014i | 0.715327 | − | 0.698789i | \(-0.246278\pi\) |
−0.563958 | + | 0.825803i | \(0.690722\pi\) | |||||||
\(74\) | −23.5486 | + | 8.57098i | −2.73747 | + | 0.996357i | ||||
\(75\) | 4.03730 | − | 6.99282i | 0.466188 | − | 0.807461i | ||||
\(76\) | −29.7142 | −3.40845 | ||||||||
\(77\) | 0.381028 | − | 0.659961i | 0.0434222 | − | 0.0752095i | ||||
\(78\) | −1.76556 | + | 10.0130i | −0.199911 | + | 1.13375i | ||||
\(79\) | 1.31070 | − | 7.43336i | 0.147465 | − | 0.836318i | −0.817889 | − | 0.575376i | \(-0.804856\pi\) |
0.965355 | − | 0.260942i | \(-0.0840331\pi\) | |||||||
\(80\) | 9.80440 | − | 8.22687i | 1.09617 | − | 0.919792i | ||||
\(81\) | 3.88485 | + | 1.41397i | 0.431650 | + | 0.157108i | ||||
\(82\) | 5.19407 | + | 8.99640i | 0.573589 | + | 0.993486i | ||||
\(83\) | −1.97206 | + | 1.65475i | −0.216461 | + | 0.181633i | −0.744571 | − | 0.667544i | \(-0.767346\pi\) |
0.528109 | + | 0.849177i | \(0.322901\pi\) | |||||||
\(84\) | 0.979418 | − | 0.356479i | 0.106863 | − | 0.0388950i | ||||
\(85\) | −0.103538 | + | 0.0868784i | −0.0112302 | + | 0.00942328i | ||||
\(86\) | 0.305503 | − | 0.529147i | 0.0329432 | − | 0.0570594i | ||||
\(87\) | 1.86458 | − | 10.5745i | 0.199904 | − | 1.13371i | ||||
\(88\) | −14.5794 | − | 12.2335i | −1.55417 | − | 1.30410i | ||||
\(89\) | 2.04488 | + | 0.744275i | 0.216757 | + | 0.0788930i | 0.448116 | − | 0.893975i | \(-0.352095\pi\) |
−0.231359 | + | 0.972868i | \(0.574317\pi\) | |||||||
\(90\) | 4.72614 | + | 8.18591i | 0.498179 | + | 0.862871i | ||||
\(91\) | −0.558841 | + | 0.203402i | −0.0585825 | + | 0.0213223i | ||||
\(92\) | 12.6998 | + | 21.9968i | 1.32405 | + | 2.29332i | ||||
\(93\) | −2.72765 | − | 4.72442i | −0.282844 | − | 0.489900i | ||||
\(94\) | −17.6586 | − | 14.8173i | −1.82135 | − | 1.52829i | ||||
\(95\) | −18.9504 | + | 15.9013i | −1.94427 | + | 1.63143i | ||||
\(96\) | 0.0515761 | + | 0.292503i | 0.00526396 | + | 0.0298534i | ||||
\(97\) | 1.13420 | + | 6.43239i | 0.115161 | + | 0.653110i | 0.986670 | + | 0.162732i | \(0.0520305\pi\) |
−0.871509 | + | 0.490379i | \(0.836858\pi\) | |||||||
\(98\) | −13.0400 | − | 10.9419i | −1.31724 | − | 1.10530i | ||||
\(99\) | 3.52090 | − | 2.95439i | 0.353864 | − | 0.296927i | ||||
\(100\) | 4.11983 | − | 23.3647i | 0.411983 | − | 2.33647i | ||||
\(101\) | 9.47135 | 0.942435 | 0.471217 | − | 0.882017i | \(-0.343815\pi\) | ||||
0.471217 | + | 0.882017i | \(0.343815\pi\) | |||||||
\(102\) | 0.0234577 | + | 0.133035i | 0.00232266 | + | 0.0131724i | ||||
\(103\) | −15.8408 | − | 5.76556i | −1.56084 | − | 0.568098i | −0.589908 | − | 0.807470i | \(-0.700836\pi\) |
−0.970928 | + | 0.239373i | \(0.923058\pi\) | |||||||
\(104\) | 2.57911 | + | 14.6269i | 0.252903 | + | 1.43428i | ||||
\(105\) | 0.433862 | − | 0.751472i | 0.0423406 | − | 0.0733361i | ||||
\(106\) | 15.0356 | − | 12.6164i | 1.46038 | − | 1.22541i | ||||
\(107\) | 6.00156 | + | 10.3950i | 0.580193 | + | 1.00492i | 0.995456 | + | 0.0952219i | \(0.0303561\pi\) |
−0.415263 | + | 0.909701i | \(0.636311\pi\) | |||||||
\(108\) | 22.4388 | 2.15918 | ||||||||
\(109\) | 7.85210 | − | 6.88074i | 0.752095 | − | 0.659055i | ||||
\(110\) | −31.8702 | −3.03870 | ||||||||
\(111\) | 6.93757 | + | 12.0162i | 0.658485 | + | 1.14053i | ||||
\(112\) | 0.573167 | − | 0.480944i | 0.0541592 | − | 0.0454449i | ||||
\(113\) | 2.35015 | − | 4.07059i | 0.221084 | − | 0.382929i | −0.734053 | − | 0.679092i | \(-0.762374\pi\) |
0.955137 | + | 0.296163i | \(0.0957072\pi\) | |||||||
\(114\) | 4.29343 | + | 24.3493i | 0.402117 | + | 2.28052i | ||||
\(115\) | 19.8707 | + | 7.23235i | 1.85295 | + | 0.674420i | ||||
\(116\) | −5.47858 | − | 31.0706i | −0.508673 | − | 2.88483i | ||||
\(117\) | −3.58687 | −0.331606 | ||||||||
\(118\) | 0.633103 | − | 3.59051i | 0.0582819 | − | 0.330533i | ||||
\(119\) | −0.00605283 | + | 0.00507893i | −0.000554862 | + | 0.000465584i | ||||
\(120\) | −16.6010 | − | 13.9299i | −1.51545 | − | 1.27162i | ||||
\(121\) | 0.780903 | + | 4.42872i | 0.0709912 | + | 0.402611i | ||||
\(122\) | −5.18077 | − | 29.3816i | −0.469045 | − | 2.66009i | ||||
\(123\) | 4.40606 | − | 3.69712i | 0.397281 | − | 0.333358i | ||||
\(124\) | −12.2789 | − | 10.3032i | −1.10268 | − | 0.925256i | ||||
\(125\) | −1.59761 | − | 2.76714i | −0.142894 | − | 0.247500i | ||||
\(126\) | 0.276291 | + | 0.478550i | 0.0246139 | + | 0.0426326i | ||||
\(127\) | −6.49415 | + | 2.36368i | −0.576263 | + | 0.209743i | −0.613677 | − | 0.789557i | \(-0.710310\pi\) |
0.0374139 | + | 0.999300i | \(0.488088\pi\) | |||||||
\(128\) | 9.88613 | + | 17.1233i | 0.873818 | + | 1.51350i | ||||
\(129\) | −0.317899 | − | 0.115706i | −0.0279895 | − | 0.0101873i | ||||
\(130\) | 19.0526 | + | 15.9870i | 1.67102 | + | 1.40215i | ||||
\(131\) | −0.332702 | + | 1.88685i | −0.0290683 | + | 0.164855i | −0.995886 | − | 0.0906115i | \(-0.971118\pi\) |
0.966818 | + | 0.255466i | \(0.0822290\pi\) | |||||||
\(132\) | −10.5977 | + | 18.3558i | −0.922416 | + | 1.59767i | ||||
\(133\) | −1.10784 | + | 0.929590i | −0.0960621 | + | 0.0806057i | ||||
\(134\) | 5.61109 | − | 2.04227i | 0.484724 | − | 0.176425i | ||||
\(135\) | 14.3105 | − | 12.0079i | 1.23165 | − | 1.03348i | ||||
\(136\) | 0.0986669 | + | 0.170896i | 0.00846062 | + | 0.0146542i | ||||
\(137\) | 5.16767 | + | 1.88088i | 0.441504 | + | 0.160694i | 0.553201 | − | 0.833048i | \(-0.313406\pi\) |
−0.111697 | + | 0.993742i | \(0.535629\pi\) | |||||||
\(138\) | 16.1902 | − | 13.5852i | 1.37820 | − | 1.15645i | ||||
\(139\) | 0.0223189 | − | 0.126577i | 0.00189306 | − | 0.0107361i | −0.983847 | − | 0.179014i | \(-0.942709\pi\) |
0.985740 | + | 0.168278i | \(0.0538205\pi\) | |||||||
\(140\) | 0.442731 | − | 2.51085i | 0.0374176 | − | 0.212206i | ||||
\(141\) | −6.38163 | + | 11.0533i | −0.537430 | + | 0.930856i | ||||
\(142\) | −9.73421 | −0.816876 | ||||||||
\(143\) | 6.04692 | − | 10.4736i | 0.505668 | − | 0.875843i | ||||
\(144\) | 4.24058 | − | 1.54345i | 0.353382 | − | 0.128621i | ||||
\(145\) | −20.1211 | − | 16.8836i | −1.67096 | − | 1.40211i | ||||
\(146\) | 0.716759 | − | 4.06494i | 0.0593194 | − | 0.336417i | ||||
\(147\) | −4.71252 | + | 8.16232i | −0.388682 | + | 0.673217i | ||||
\(148\) | 31.2305 | + | 26.2055i | 2.56713 | + | 2.15408i | ||||
\(149\) | 2.52284 | + | 14.3077i | 0.206679 | + | 1.17213i | 0.894776 | + | 0.446516i | \(0.147335\pi\) |
−0.688097 | + | 0.725619i | \(0.741554\pi\) | |||||||
\(150\) | −19.7414 | −1.61188 | ||||||||
\(151\) | −2.88713 | + | 16.3737i | −0.234951 | + | 1.33247i | 0.607765 | + | 0.794117i | \(0.292066\pi\) |
−0.842716 | + | 0.538358i | \(0.819045\pi\) | |||||||
\(152\) | 18.0589 | + | 31.2789i | 1.46477 | + | 2.53705i | ||||
\(153\) | −0.0447819 | + | 0.0162993i | −0.00362041 | + | 0.00131772i | ||||
\(154\) | −1.86314 | −0.150136 | ||||||||
\(155\) | −13.3446 | −1.07186 | ||||||||
\(156\) | 15.5433 | − | 5.65732i | 1.24446 | − | 0.452948i | ||||
\(157\) | −7.59249 | − | 2.76344i | −0.605947 | − | 0.220547i | 0.0207819 | − | 0.999784i | \(-0.493384\pi\) |
−0.626729 | + | 0.779237i | \(0.715607\pi\) | |||||||
\(158\) | −17.3411 | + | 6.31165i | −1.37958 | + | 0.502128i | ||||
\(159\) | −8.32489 | − | 6.98541i | −0.660207 | − | 0.553979i | ||||
\(160\) | 0.682733 | + | 0.248495i | 0.0539748 | + | 0.0196452i | ||||
\(161\) | 1.16165 | + | 0.422804i | 0.0915505 | + | 0.0333216i | ||||
\(162\) | −1.75516 | − | 9.95400i | −0.137898 | − | 0.782060i | ||||
\(163\) | −0.0805783 | + | 0.139566i | −0.00631138 | + | 0.0109316i | −0.869164 | − | 0.494524i | \(-0.835342\pi\) |
0.862852 | + | 0.505456i | \(0.168676\pi\) | |||||||
\(164\) | 8.44994 | − | 14.6357i | 0.659830 | − | 1.14286i | ||||
\(165\) | 3.06418 | + | 17.3778i | 0.238546 | + | 1.35286i | ||||
\(166\) | 5.91438 | + | 2.15266i | 0.459045 | + | 0.167079i | ||||
\(167\) | −4.15040 | − | 1.51062i | −0.321167 | − | 0.116895i | 0.176405 | − | 0.984318i | \(-0.443553\pi\) |
−0.497573 | + | 0.867422i | \(0.665775\pi\) | |||||||
\(168\) | −0.970494 | − | 0.814342i | −0.0748753 | − | 0.0628278i | ||||
\(169\) | 3.34721 | − | 1.21828i | 0.257477 | − | 0.0937141i | ||||
\(170\) | 0.310519 | + | 0.113020i | 0.0238157 | + | 0.00866820i | ||||
\(171\) | −8.19639 | + | 2.98324i | −0.626793 | + | 0.228134i | ||||
\(172\) | −0.994011 | −0.0757927 | ||||||||
\(173\) | −6.92951 | −0.526841 | −0.263420 | − | 0.964681i | \(-0.584851\pi\) | ||||
−0.263420 | + | 0.964681i | \(0.584851\pi\) | |||||||
\(174\) | −24.6691 | + | 8.97882i | −1.87016 | + | 0.680683i | ||||
\(175\) | −0.577349 | − | 0.999998i | −0.0436435 | − | 0.0755928i | ||||
\(176\) | −2.64216 | + | 14.9844i | −0.199160 | + | 1.12949i | ||||
\(177\) | −2.01866 | −0.151732 | ||||||||
\(178\) | −0.923867 | − | 5.23951i | −0.0692468 | − | 0.392718i | ||||
\(179\) | −7.01410 | − | 5.88553i | −0.524258 | − | 0.439905i | 0.341855 | − | 0.939753i | \(-0.388945\pi\) |
−0.866113 | + | 0.499848i | \(0.833389\pi\) | |||||||
\(180\) | 7.68869 | − | 13.3172i | 0.573081 | − | 0.992605i | ||||
\(181\) | 1.44615 | − | 8.20152i | 0.107491 | − | 0.609614i | −0.882704 | − | 0.469929i | \(-0.844280\pi\) |
0.990196 | − | 0.139686i | \(-0.0446092\pi\) | |||||||
\(182\) | 1.11382 | + | 0.934604i | 0.0825616 | + | 0.0692774i | ||||
\(183\) | −15.5228 | + | 5.64982i | −1.14747 | + | 0.417647i | ||||
\(184\) | 15.4367 | − | 26.7372i | 1.13801 | − | 1.97109i | ||||
\(185\) | 33.9410 | 2.49539 | ||||||||
\(186\) | −6.66877 | + | 11.5506i | −0.488978 | + | 0.846934i | ||||
\(187\) | 0.0279020 | − | 0.158240i | 0.00204040 | − | 0.0115717i | ||||
\(188\) | −6.51207 | + | 36.9318i | −0.474941 | + | 2.69353i | ||||
\(189\) | 0.836592 | − | 0.701984i | 0.0608531 | − | 0.0510618i | ||||
\(190\) | 56.8339 | + | 20.6858i | 4.12316 | + | 1.50071i | ||||
\(191\) | −3.97110 | − | 6.87814i | −0.287339 | − | 0.497685i | 0.685835 | − | 0.727757i | \(-0.259437\pi\) |
−0.973174 | + | 0.230072i | \(0.926104\pi\) | |||||||
\(192\) | 8.57239 | − | 7.19309i | 0.618659 | − | 0.519117i | ||||
\(193\) | 15.1469 | − | 5.51303i | 1.09030 | − | 0.396837i | 0.266568 | − | 0.963816i | \(-0.414110\pi\) |
0.823732 | + | 0.566979i | \(0.191888\pi\) | |||||||
\(194\) | 12.2330 | − | 10.2647i | 0.878277 | − | 0.736962i | ||||
\(195\) | 6.88539 | − | 11.9258i | 0.493073 | − | 0.854027i | ||||
\(196\) | −4.80884 | + | 27.2723i | −0.343489 | + | 1.94802i | ||||
\(197\) | −2.46198 | − | 2.06585i | −0.175409 | − | 0.147186i | 0.550856 | − | 0.834600i | \(-0.314301\pi\) |
−0.726265 | + | 0.687414i | \(0.758746\pi\) | |||||||
\(198\) | −10.5595 | − | 3.84335i | −0.750431 | − | 0.273135i | ||||
\(199\) | −11.9234 | − | 20.6519i | −0.845228 | − | 1.46398i | −0.885423 | − | 0.464785i | \(-0.846131\pi\) |
0.0401956 | − | 0.999192i | \(-0.487202\pi\) | |||||||
\(200\) | −27.0989 | + | 9.86319i | −1.91618 | + | 0.697433i | ||||
\(201\) | −1.65306 | − | 2.86319i | −0.116598 | − | 0.201954i | ||||
\(202\) | −11.5782 | − | 20.0540i | −0.814636 | − | 1.41099i | ||||
\(203\) | −1.17628 | − | 0.987017i | −0.0825588 | − | 0.0692750i | ||||
\(204\) | 0.168351 | − | 0.141263i | 0.0117869 | − | 0.00989038i | ||||
\(205\) | −2.44317 | − | 13.8559i | −0.170638 | − | 0.967738i | ||||
\(206\) | 7.15678 | + | 40.5881i | 0.498637 | + | 2.82791i | ||||
\(207\) | 5.71156 | + | 4.79257i | 0.396981 | + | 0.333106i | ||||
\(208\) | 9.09615 | − | 7.63257i | 0.630704 | − | 0.529224i | ||||
\(209\) | 5.10688 | − | 28.9625i | 0.353250 | − | 2.00338i | ||||
\(210\) | −2.12148 | −0.146396 | ||||||||
\(211\) | −0.960813 | − | 5.44904i | −0.0661451 | − | 0.375128i | −0.999854 | − | 0.0170941i | \(-0.994558\pi\) |
0.933709 | − | 0.358033i | \(-0.116553\pi\) | |||||||
\(212\) | −30.0053 | − | 10.9210i | −2.06077 | − | 0.750060i | ||||
\(213\) | 0.935899 | + | 5.30775i | 0.0641268 | + | 0.363681i | ||||
\(214\) | 14.6731 | − | 25.4145i | 1.00303 | − | 1.73730i | ||||
\(215\) | −0.633935 | + | 0.531935i | −0.0432340 | + | 0.0362777i | ||||
\(216\) | −13.6373 | − | 23.6204i | −0.927898 | − | 1.60717i | ||||
\(217\) | −0.780127 | −0.0529585 | ||||||||
\(218\) | −24.1675 | − | 8.21418i | −1.63683 | − | 0.556334i | ||||
\(219\) | −2.28540 | −0.154433 | ||||||||
\(220\) | 25.9239 | + | 44.9015i | 1.74779 | + | 3.02726i | ||||
\(221\) | −0.0960583 | + | 0.0806025i | −0.00646158 | + | 0.00542191i | ||||
\(222\) | 16.9615 | − | 29.3782i | 1.13838 | − | 1.97174i | ||||
\(223\) | −0.142985 | − | 0.810907i | −0.00957497 | − | 0.0543024i | 0.979646 | − | 0.200733i | \(-0.0643325\pi\) |
−0.989221 | + | 0.146431i | \(0.953221\pi\) | |||||||
\(224\) | 0.0399127 | + | 0.0145270i | 0.00266678 | + | 0.000970628i | ||||
\(225\) | −1.20935 | − | 6.85856i | −0.0806233 | − | 0.457237i | ||||
\(226\) | −11.4917 | −0.764416 | ||||||||
\(227\) | 0.0855760 | − | 0.485326i | 0.00567988 | − | 0.0322122i | −0.981836 | − | 0.189731i | \(-0.939238\pi\) |
0.987516 | + | 0.157519i | \(0.0503495\pi\) | |||||||
\(228\) | 30.8130 | − | 25.8552i | 2.04064 | − | 1.71230i | ||||
\(229\) | 3.40517 | + | 2.85728i | 0.225020 | + | 0.188814i | 0.748327 | − | 0.663330i | \(-0.230857\pi\) |
−0.523307 | + | 0.852144i | \(0.675302\pi\) | |||||||
\(230\) | −8.97750 | − | 50.9139i | −0.591959 | − | 3.35717i | ||||
\(231\) | 0.179132 | + | 1.01591i | 0.0117860 | + | 0.0668419i | ||||
\(232\) | −29.3771 | + | 24.6503i | −1.92870 | + | 1.61837i | ||||
\(233\) | 17.5865 | + | 14.7568i | 1.15213 | + | 0.966752i | 0.999767 | − | 0.0215730i | \(-0.00686744\pi\) |
0.152362 | + | 0.988325i | \(0.451312\pi\) | |||||||
\(234\) | 4.38473 | + | 7.59457i | 0.286639 | + | 0.496473i | ||||
\(235\) | 15.6106 | + | 27.0383i | 1.01832 | + | 1.76378i | ||||
\(236\) | −5.57360 | + | 2.02862i | −0.362810 | + | 0.132052i | ||||
\(237\) | 5.10881 | + | 8.84871i | 0.331853 | + | 0.574786i | ||||
\(238\) | 0.0181530 | + | 0.00660714i | 0.00117668 | + | 0.000428277i | ||||
\(239\) | −2.93546 | − | 2.46315i | −0.189879 | − | 0.159328i | 0.542892 | − | 0.839802i | \(-0.317329\pi\) |
−0.732772 | + | 0.680475i | \(0.761774\pi\) | |||||||
\(240\) | −3.00852 | + | 17.0622i | −0.194199 | + | 1.10136i | ||||
\(241\) | −12.6080 | + | 21.8377i | −0.812153 | + | 1.40669i | 0.0992007 | + | 0.995067i | \(0.468371\pi\) |
−0.911354 | + | 0.411623i | \(0.864962\pi\) | |||||||
\(242\) | 8.42245 | − | 7.06727i | 0.541415 | − | 0.454302i | ||||
\(243\) | 10.6451 | − | 3.87449i | 0.682881 | − | 0.248548i | ||||
\(244\) | −37.1813 | + | 31.1988i | −2.38029 | + | 1.99730i | ||||
\(245\) | 11.5276 | + | 19.9664i | 0.736473 | + | 1.27561i | ||||
\(246\) | −13.2142 | − | 4.80956i | −0.842504 | − | 0.306647i | ||||
\(247\) | −17.5814 | + | 14.7526i | −1.11868 | + | 0.938684i | ||||
\(248\) | −3.38324 | + | 19.1873i | −0.214836 | + | 1.21839i | ||||
\(249\) | 0.605135 | − | 3.43189i | 0.0383488 | − | 0.217487i | ||||
\(250\) | −3.90596 | + | 6.76532i | −0.247034 | + | 0.427876i | ||||
\(251\) | 22.9281 | 1.44721 | 0.723604 | − | 0.690216i | \(-0.242484\pi\) | ||||
0.723604 | + | 0.690216i | \(0.242484\pi\) | |||||||
\(252\) | 0.449482 | − | 0.778525i | 0.0283147 | − | 0.0490425i | ||||
\(253\) | −23.6230 | + | 8.59807i | −1.48516 | + | 0.540556i | ||||
\(254\) | 12.9434 | + | 10.8608i | 0.812141 | + | 0.681467i | ||||
\(255\) | 0.0317710 | − | 0.180182i | 0.00198958 | − | 0.0112834i | ||||
\(256\) | 15.9037 | − | 27.5460i | 0.993981 | − | 1.72163i | ||||
\(257\) | −14.9138 | − | 12.5142i | −0.930298 | − | 0.780613i | 0.0455731 | − | 0.998961i | \(-0.485489\pi\) |
−0.975871 | + | 0.218348i | \(0.929933\pi\) | |||||||
\(258\) | 0.143626 | + | 0.814541i | 0.00894174 | + | 0.0507111i | ||||
\(259\) | 1.98420 | 0.123292 | ||||||||
\(260\) | 7.02613 | − | 39.8471i | 0.435742 | − | 2.47121i | ||||
\(261\) | −4.63063 | − | 8.02049i | −0.286629 | − | 0.496456i | ||||
\(262\) | 4.40179 | − | 1.60212i | 0.271943 | − | 0.0989792i | ||||
\(263\) | −24.3967 | −1.50436 | −0.752181 | − | 0.658956i | \(-0.770998\pi\) | ||||
−0.752181 | + | 0.658956i | \(0.770998\pi\) | |||||||
\(264\) | 25.7632 | 1.58562 | ||||||||
\(265\) | −24.9803 | + | 9.09208i | −1.53453 | + | 0.558522i | ||||
\(266\) | 3.32252 | + | 1.20930i | 0.203717 | + | 0.0741468i | ||||
\(267\) | −2.76811 | + | 1.00751i | −0.169406 | + | 0.0616586i | ||||
\(268\) | −7.44151 | − | 6.24417i | −0.454563 | − | 0.381423i | ||||
\(269\) | −24.9965 | − | 9.09797i | −1.52406 | − | 0.554713i | −0.561903 | − | 0.827203i | \(-0.689931\pi\) |
−0.962159 | + | 0.272490i | \(0.912153\pi\) | |||||||
\(270\) | −42.9184 | − | 15.6210i | −2.61193 | − | 0.950664i | ||||
\(271\) | 1.94754 | + | 11.0450i | 0.118304 | + | 0.670938i | 0.985061 | + | 0.172206i | \(0.0550896\pi\) |
−0.866756 | + | 0.498732i | \(0.833799\pi\) | |||||||
\(272\) | 0.0788815 | − | 0.136627i | 0.00478290 | − | 0.00828422i | ||||
\(273\) | 0.402521 | − | 0.697187i | 0.0243617 | − | 0.0421957i | ||||
\(274\) | −2.33473 | − | 13.2409i | −0.141046 | − | 0.799913i | ||||
\(275\) | 22.0656 | + | 8.03122i | 1.33061 | + | 0.484301i | ||||
\(276\) | −32.3095 | − | 11.7597i | −1.94480 | − | 0.707850i | ||||
\(277\) | −12.6925 | − | 10.6503i | −0.762618 | − | 0.639913i | 0.176189 | − | 0.984356i | \(-0.443623\pi\) |
−0.938807 | + | 0.344444i | \(0.888068\pi\) | |||||||
\(278\) | −0.295288 | + | 0.107476i | −0.0177102 | + | 0.00644597i | ||||
\(279\) | −4.42144 | − | 1.60927i | −0.264705 | − | 0.0963447i | ||||
\(280\) | −2.91214 | + | 1.05993i | −0.174034 | + | 0.0633430i | ||||
\(281\) | −10.5663 | −0.630334 | −0.315167 | − | 0.949036i | \(-0.602060\pi\) | ||||
−0.315167 | + | 0.949036i | \(0.602060\pi\) | |||||||
\(282\) | 31.2046 | 1.85821 | ||||||||
\(283\) | 5.95184 | − | 2.16629i | 0.353800 | − | 0.128773i | −0.159005 | − | 0.987278i | \(-0.550829\pi\) |
0.512805 | + | 0.858505i | \(0.328606\pi\) | |||||||
\(284\) | 7.91801 | + | 13.7144i | 0.469848 | + | 0.813800i | ||||
\(285\) | 5.81500 | − | 32.9785i | 0.344451 | − | 1.95348i | ||||
\(286\) | −29.5680 | −1.74839 | ||||||||
\(287\) | −0.142828 | − | 0.810019i | −0.00843088 | − | 0.0478139i | ||||
\(288\) | 0.196242 | + | 0.164667i | 0.0115637 | + | 0.00970307i | ||||
\(289\) | 8.49917 | − | 14.7210i | 0.499951 | − | 0.865941i | ||||
\(290\) | −11.1513 | + | 63.2421i | −0.654826 | + | 3.71370i | ||||
\(291\) | −6.77315 | − | 5.68335i | −0.397049 | − | 0.333164i | ||||
\(292\) | −6.31008 | + | 2.29668i | −0.369269 | + | 0.134403i | ||||
\(293\) | −4.14876 | + | 7.18587i | −0.242373 | + | 0.419803i | −0.961390 | − | 0.275190i | \(-0.911259\pi\) |
0.719016 | + | 0.694993i | \(0.244593\pi\) | |||||||
\(294\) | 23.0431 | 1.34390 | ||||||||
\(295\) | −2.46899 | + | 4.27642i | −0.143750 | + | 0.248983i | ||||
\(296\) | 8.60502 | − | 48.8015i | 0.500157 | − | 2.83653i | ||||
\(297\) | −3.85648 | + | 21.8712i | −0.223776 | + | 1.26910i | ||||
\(298\) | 27.2101 | − | 22.8320i | 1.57624 | − | 1.32262i | ||||
\(299\) | 18.4353 | + | 6.70990i | 1.06614 | + | 0.388043i | ||||
\(300\) | 16.0581 | + | 27.8135i | 0.927116 | + | 1.60581i | ||||
\(301\) | −0.0370600 | + | 0.0310970i | −0.00213610 | + | 0.00179240i | ||||
\(302\) | 38.1979 | − | 13.9029i | 2.19804 | − | 0.800022i | ||||
\(303\) | −9.82159 | + | 8.24129i | −0.564236 | + | 0.473450i | ||||
\(304\) | 14.4376 | − | 25.0066i | 0.828053 | − | 1.43423i | ||||
\(305\) | −7.01682 | + | 39.7943i | −0.401782 | + | 2.27862i | ||||
\(306\) | 0.0892542 | + | 0.0748932i | 0.00510232 | + | 0.00428136i | ||||
\(307\) | 7.03454 | + | 2.56036i | 0.401483 | + | 0.146128i | 0.534866 | − | 0.844937i | \(-0.320362\pi\) |
−0.133384 | + | 0.991064i | \(0.542584\pi\) | |||||||
\(308\) | 1.51552 | + | 2.62495i | 0.0863546 | + | 0.149571i | ||||
\(309\) | 21.4433 | − | 7.80473i | 1.21987 | − | 0.443995i | ||||
\(310\) | 16.3130 | + | 28.2549i | 0.926514 | + | 1.60477i | ||||
\(311\) | 6.12779 | + | 10.6136i | 0.347475 | + | 0.601844i | 0.985800 | − | 0.167922i | \(-0.0537058\pi\) |
−0.638325 | + | 0.769767i | \(0.720372\pi\) | |||||||
\(312\) | −15.4017 | − | 12.9236i | −0.871951 | − | 0.731654i | ||||
\(313\) | 5.68788 | − | 4.77270i | 0.321498 | − | 0.269769i | −0.467727 | − | 0.883873i | \(-0.654927\pi\) |
0.789225 | + | 0.614104i | \(0.210483\pi\) | |||||||
\(314\) | 3.43025 | + | 19.4539i | 0.193580 | + | 1.09785i | ||||
\(315\) | −0.129961 | − | 0.737044i | −0.00732246 | − | 0.0415277i | ||||
\(316\) | 22.9980 | + | 19.2976i | 1.29374 | + | 1.08558i | ||||
\(317\) | 4.61484 | − | 3.87231i | 0.259195 | − | 0.217491i | −0.503924 | − | 0.863748i | \(-0.668111\pi\) |
0.763120 | + | 0.646257i | \(0.223667\pi\) | |||||||
\(318\) | −4.61373 | + | 26.1658i | −0.258725 | + | 1.46730i | ||||
\(319\) | 31.2262 | 1.74833 | ||||||||
\(320\) | −4.75341 | − | 26.9579i | −0.265724 | − | 1.50699i | ||||
\(321\) | −15.2685 | − | 5.55727i | −0.852204 | − | 0.310177i | ||||
\(322\) | −0.524826 | − | 2.97644i | −0.0292474 | − | 0.165870i | ||||
\(323\) | −0.152466 | + | 0.264078i | −0.00848342 | + | 0.0146937i | ||||
\(324\) | −12.5964 | + | 10.5696i | −0.699799 | + | 0.587201i | ||||
\(325\) | −9.16252 | − | 15.8700i | −0.508245 | − | 0.880307i | ||||
\(326\) | 0.394009 | 0.0218221 | ||||||||
\(327\) | −2.15533 | + | 13.9675i | −0.119190 | + | 0.772405i | ||||
\(328\) | −20.5419 | −1.13424 | ||||||||
\(329\) | 0.912596 | + | 1.58066i | 0.0503130 | + | 0.0871448i | ||||
\(330\) | 33.0487 | − | 27.7312i | 1.81927 | − | 1.52655i | ||||
\(331\) | −4.52282 | + | 7.83376i | −0.248597 | + | 0.430582i | −0.963137 | − | 0.269012i | \(-0.913303\pi\) |
0.714540 | + | 0.699595i | \(0.246636\pi\) | |||||||
\(332\) | −1.77803 | − | 10.0837i | −0.0975821 | − | 0.553416i | ||||
\(333\) | 11.2456 | + | 4.09307i | 0.616256 | + | 0.224299i | ||||
\(334\) | 1.87513 | + | 10.6344i | 0.102603 | + | 0.581888i | ||||
\(335\) | −8.08736 | −0.441860 | ||||||||
\(336\) | −0.175879 | + | 0.997458i | −0.00959497 | + | 0.0544158i | ||||
\(337\) | 26.5808 | − | 22.3039i | 1.44795 | − | 1.21497i | 0.513888 | − | 0.857857i | \(-0.328205\pi\) |
0.934060 | − | 0.357116i | \(-0.116240\pi\) | |||||||
\(338\) | −6.67126 | − | 5.59785i | −0.362869 | − | 0.304483i | ||||
\(339\) | 1.10487 | + | 6.26605i | 0.0600085 | + | 0.340325i | ||||
\(340\) | −0.0933507 | − | 0.529418i | −0.00506266 | − | 0.0287117i | ||||
\(341\) | 12.1529 | − | 10.1975i | 0.658117 | − | 0.552226i | ||||
\(342\) | 16.3361 | + | 13.7076i | 0.883354 | + | 0.741222i | ||||
\(343\) | 1.35144 | + | 2.34076i | 0.0729709 | + | 0.126389i | ||||
\(344\) | 0.604113 | + | 1.04635i | 0.0325716 | + | 0.0564156i | ||||
\(345\) | −26.8986 | + | 9.79029i | −1.44817 | + | 0.527091i | ||||
\(346\) | 8.47091 | + | 14.6720i | 0.455399 | + | 0.788774i | ||||
\(347\) | −17.4813 | − | 6.36269i | −0.938447 | − | 0.341567i | −0.172895 | − | 0.984940i | \(-0.555312\pi\) |
−0.765552 | + | 0.643373i | \(0.777534\pi\) | |||||||
\(348\) | 32.7165 | + | 27.4524i | 1.75379 | + | 1.47161i | ||||
\(349\) | 1.98557 | − | 11.2607i | 0.106285 | − | 0.602772i | −0.884414 | − | 0.466702i | \(-0.845442\pi\) |
0.990699 | − | 0.136069i | \(-0.0434469\pi\) | |||||||
\(350\) | −1.41155 | + | 2.44488i | −0.0754505 | + | 0.130684i | ||||
\(351\) | 13.2767 | − | 11.1405i | 0.708658 | − | 0.594635i | ||||
\(352\) | −0.811657 | + | 0.295419i | −0.0432615 | + | 0.0157459i | ||||
\(353\) | 1.84480 | − | 1.54797i | 0.0981890 | − | 0.0823903i | −0.592372 | − | 0.805665i | \(-0.701808\pi\) |
0.690561 | + | 0.723274i | \(0.257364\pi\) | |||||||
\(354\) | 2.46769 | + | 4.27416i | 0.131156 | + | 0.227169i | ||||
\(355\) | 12.3889 | + | 4.50918i | 0.657533 | + | 0.239322i | ||||
\(356\) | −6.63039 | + | 5.56356i | −0.351410 | + | 0.294868i | ||||
\(357\) | 0.00185734 | − | 0.0105335i | 9.83007e−5 | − | 0.000557491i | ||||
\(358\) | −3.88728 | + | 22.0458i | −0.205449 | + | 1.16516i | ||||
\(359\) | −10.2938 | + | 17.8294i | −0.543286 | + | 0.940999i | 0.455427 | + | 0.890273i | \(0.349487\pi\) |
−0.998713 | + | 0.0507254i | \(0.983847\pi\) | |||||||
\(360\) | −18.6913 | −0.985117 | ||||||||
\(361\) | −18.4056 | + | 31.8795i | −0.968716 | + | 1.67787i | ||||
\(362\) | −19.1331 | + | 6.96389i | −1.00562 | + | 0.366014i | ||||
\(363\) | −4.66334 | − | 3.91300i | −0.244762 | − | 0.205379i | ||||
\(364\) | 0.410749 | − | 2.32947i | 0.0215291 | − | 0.122097i | ||||
\(365\) | −2.79524 | + | 4.84149i | −0.146309 | + | 0.253415i | ||||
\(366\) | 30.9382 | + | 25.9602i | 1.61716 | + | 1.35696i | ||||
\(367\) | −5.30626 | − | 30.0933i | −0.276984 | − | 1.57086i | −0.732587 | − | 0.680673i | \(-0.761687\pi\) |
0.455603 | − | 0.890183i | \(-0.349424\pi\) | |||||||
\(368\) | −24.6825 | −1.28666 | ||||||||
\(369\) | 0.861443 | − | 4.88549i | 0.0448449 | − | 0.254328i | ||||
\(370\) | −41.4908 | − | 71.8642i | −2.15701 | − | 3.73604i | ||||
\(371\) | −1.46035 | + | 0.531525i | −0.0758177 | + | 0.0275954i | ||||
\(372\) | 21.6981 | 1.12499 | ||||||||
\(373\) | 17.0650 | 0.883595 | 0.441797 | − | 0.897115i | \(-0.354341\pi\) | ||||
0.441797 | + | 0.897115i | \(0.354341\pi\) | |||||||
\(374\) | −0.369155 | + | 0.134362i | −0.0190886 | + | 0.00694767i | ||||
\(375\) | 4.06445 | + | 1.47934i | 0.209887 | + | 0.0763927i | ||||
\(376\) | 42.8343 | − | 15.5904i | 2.20901 | − | 0.804014i | ||||
\(377\) | −18.6676 | − | 15.6639i | −0.961428 | − | 0.806734i | ||||
\(378\) | −2.50901 | − | 0.913207i | −0.129050 | − | 0.0469703i | ||||
\(379\) | 34.4516 | + | 12.5394i | 1.76966 | + | 0.644103i | 0.999984 | + | 0.00566714i | \(0.00180392\pi\) |
0.769675 | + | 0.638436i | \(0.220418\pi\) | |||||||
\(380\) | −17.0859 | − | 96.8988i | −0.876487 | − | 4.97080i | ||||
\(381\) | 4.67760 | − | 8.10183i | 0.239640 | − | 0.415069i | ||||
\(382\) | −9.70886 | + | 16.8162i | −0.496748 | + | 0.860393i | ||||
\(383\) | −4.31881 | − | 24.4932i | −0.220681 | − | 1.25154i | −0.870772 | − | 0.491687i | \(-0.836380\pi\) |
0.650091 | − | 0.759856i | \(-0.274731\pi\) | |||||||
\(384\) | −25.1512 | − | 9.15427i | −1.28349 | − | 0.467152i | ||||
\(385\) | 2.37124 | + | 0.863062i | 0.120850 | + | 0.0439857i | ||||
\(386\) | −30.1891 | − | 25.3317i | −1.53659 | − | 1.28935i | ||||
\(387\) | −0.274189 | + | 0.0997966i | −0.0139378 | + | 0.00507294i | ||||
\(388\) | −24.4124 | − | 8.88538i | −1.23935 | − | 0.451087i | ||||
\(389\) | 24.0957 | − | 8.77012i | 1.22170 | − | 0.444663i | 0.350954 | − | 0.936393i | \(-0.385858\pi\) |
0.870748 | + | 0.491730i | \(0.163635\pi\) | |||||||
\(390\) | −33.6679 | −1.70484 | ||||||||
\(391\) | 0.260655 | 0.0131819 | ||||||||
\(392\) | 31.6310 | − | 11.5127i | 1.59761 | − | 0.581481i | ||||
\(393\) | −1.29680 | − | 2.24612i | −0.0654147 | − | 0.113302i | ||||
\(394\) | −1.36445 | + | 7.73820i | −0.0687402 | + | 0.389845i | ||||
\(395\) | 24.9940 | 1.25759 | ||||||||
\(396\) | 3.17449 | + | 18.0034i | 0.159524 | + | 0.904706i | ||||
\(397\) | −8.05716 | − | 6.76076i | −0.404377 | − | 0.339313i | 0.417806 | − | 0.908536i | \(-0.362799\pi\) |
−0.822183 | + | 0.569224i | \(0.807244\pi\) | |||||||
\(398\) | −29.1513 | + | 50.4915i | −1.46122 | + | 2.53091i | ||||
\(399\) | 0.339946 | − | 1.92793i | 0.0170186 | − | 0.0965172i | ||||
\(400\) | 17.6613 | + | 14.8196i | 0.883067 | + | 0.740981i | ||||
\(401\) | 9.07056 | − | 3.30142i | 0.452962 | − | 0.164865i | −0.105457 | − | 0.994424i | \(-0.533630\pi\) |
0.558419 | + | 0.829559i | \(0.311408\pi\) | |||||||
\(402\) | −4.04154 | + | 7.00016i | −0.201574 | + | 0.349136i | ||||
\(403\) | −12.3806 | −0.616722 | ||||||||
\(404\) | −18.8358 | + | 32.6246i | −0.937118 | + | 1.62314i | ||||
\(405\) | −2.37718 | + | 13.4816i | −0.118123 | + | 0.669908i | ||||
\(406\) | −0.651906 | + | 3.69714i | −0.0323536 | + | 0.183486i | ||||
\(407\) | −30.9101 | + | 25.9366i | −1.53216 | + | 1.28563i | ||||
\(408\) | −0.251017 | − | 0.0913627i | −0.0124272 | − | 0.00452313i | ||||
\(409\) | −15.2827 | − | 26.4705i | −0.755682 | − | 1.30888i | −0.945034 | − | 0.326971i | \(-0.893972\pi\) |
0.189352 | − | 0.981909i | \(-0.439361\pi\) | |||||||
\(410\) | −26.3509 | + | 22.1110i | −1.30138 | + | 1.09198i | ||||
\(411\) | −6.99537 | + | 2.54611i | −0.345056 | + | 0.125590i | ||||
\(412\) | 51.3626 | − | 43.0984i | 2.53046 | − | 2.12330i | ||||
\(413\) | −0.144338 | + | 0.250000i | −0.00710239 | + | 0.0123017i | ||||
\(414\) | 3.16540 | − | 17.9519i | 0.155571 | − | 0.882286i | ||||
\(415\) | −6.53014 | − | 5.47944i | −0.320552 | − | 0.268975i | ||||
\(416\) | 0.633414 | + | 0.230544i | 0.0310557 | + | 0.0113033i | ||||
\(417\) | 0.0869937 | + | 0.150677i | 0.00426010 | + | 0.00737871i | ||||
\(418\) | −67.5660 | + | 24.5920i | −3.30476 | + | 1.20284i | ||||
\(419\) | 7.46068 | + | 12.9223i | 0.364478 | + | 0.631295i | 0.988692 | − | 0.149959i | \(-0.0479140\pi\) |
−0.624214 | + | 0.781253i | \(0.714581\pi\) | |||||||
\(420\) | 1.72566 | + | 2.98893i | 0.0842036 | + | 0.145845i | ||||
\(421\) | −18.1760 | − | 15.2515i | −0.885843 | − | 0.743310i | 0.0815292 | − | 0.996671i | \(-0.474020\pi\) |
−0.967372 | + | 0.253361i | \(0.918464\pi\) | |||||||
\(422\) | −10.3629 | + | 8.69548i | −0.504457 | + | 0.423290i | ||||
\(423\) | 1.91158 | + | 10.8411i | 0.0929440 | + | 0.527112i | ||||
\(424\) | 6.73968 | + | 38.2226i | 0.327308 | + | 1.85625i | ||||
\(425\) | −0.186509 | − | 0.156500i | −0.00904704 | − | 0.00759137i | ||||
\(426\) | 10.0942 | − | 8.47001i | 0.489064 | − | 0.410373i | ||||
\(427\) | −0.410204 | + | 2.32638i | −0.0198512 | + | 0.112582i | ||||
\(428\) | −47.7416 | −2.30768 | ||||||||
\(429\) | 2.84282 | + | 16.1225i | 0.137253 | + | 0.778400i | ||||
\(430\) | 1.90123 | + | 0.691991i | 0.0916854 | + | 0.0333708i | ||||
\(431\) | 5.36684 | + | 30.4369i | 0.258512 | + | 1.46609i | 0.786895 | + | 0.617087i | \(0.211687\pi\) |
−0.528383 | + | 0.849006i | \(0.677202\pi\) | |||||||
\(432\) | −10.9026 | + | 18.8839i | −0.524553 | + | 0.908552i | ||||
\(433\) | 2.79440 | − | 2.34478i | 0.134290 | − | 0.112683i | −0.573169 | − | 0.819437i | \(-0.694286\pi\) |
0.707459 | + | 0.706755i | \(0.249842\pi\) | |||||||
\(434\) | 0.953658 | + | 1.65178i | 0.0457771 | + | 0.0792882i | ||||
\(435\) | 35.5560 | 1.70478 | ||||||||
\(436\) | 8.08551 | + | 40.7309i | 0.387226 | + | 1.95066i | ||||
\(437\) | 47.7074 | 2.28215 | ||||||||
\(438\) | 2.79376 | + | 4.83893i | 0.133491 | + | 0.231213i | ||||
\(439\) | 9.11948 | − | 7.65215i | 0.435249 | − | 0.365217i | −0.398679 | − | 0.917091i | \(-0.630531\pi\) |
0.833928 | + | 0.551873i | \(0.186087\pi\) | |||||||
\(440\) | 31.5107 | − | 54.5781i | 1.50221 | − | 2.60191i | ||||
\(441\) | 1.41160 | + | 8.00560i | 0.0672192 | + | 0.381219i | ||||
\(442\) | 0.288087 | + | 0.104855i | 0.0137029 | + | 0.00498745i | ||||
\(443\) | −1.05922 | − | 6.00715i | −0.0503252 | − | 0.285408i | 0.949251 | − | 0.314520i | \(-0.101843\pi\) |
−0.999576 | + | 0.0291113i | \(0.990732\pi\) | |||||||
\(444\) | −55.1875 | −2.61908 | ||||||||
\(445\) | −1.25128 | + | 7.09637i | −0.0593164 | + | 0.336400i | ||||
\(446\) | −1.54217 | + | 1.29403i | −0.0730237 | + | 0.0612742i | ||||
\(447\) | −15.0657 | − | 12.6416i | −0.712583 | − | 0.597928i | ||||
\(448\) | −0.277885 | − | 1.57596i | −0.0131288 | − | 0.0744573i | ||||
\(449\) | −3.06711 | − | 17.3944i | −0.144746 | − | 0.820895i | −0.967571 | − | 0.252600i | \(-0.918714\pi\) |
0.822825 | − | 0.568295i | \(-0.192397\pi\) | |||||||
\(450\) | −13.0435 | + | 10.9448i | −0.614875 | + | 0.515941i | ||||
\(451\) | 12.8132 | + | 10.7516i | 0.603352 | + | 0.506272i | ||||
\(452\) | 9.34759 | + | 16.1905i | 0.439674 | + | 0.761537i | ||||
\(453\) | −11.2534 | − | 19.4914i | −0.528729 | − | 0.915785i | ||||
\(454\) | −1.13221 | + | 0.412089i | −0.0531370 | + | 0.0193403i | ||||
\(455\) | −0.984636 | − | 1.70544i | −0.0461604 | − | 0.0799522i | ||||
\(456\) | −45.9433 | − | 16.7220i | −2.15149 | − | 0.783080i | ||||
\(457\) | 5.71993 | + | 4.79959i | 0.267567 | + | 0.224515i | 0.766693 | − | 0.642014i | \(-0.221901\pi\) |
−0.499126 | + | 0.866530i | \(0.666345\pi\) | |||||||
\(458\) | 1.88718 | − | 10.7027i | 0.0881819 | − | 0.500105i | ||||
\(459\) | 0.115135 | − | 0.199420i | 0.00537405 | − | 0.00930813i | ||||
\(460\) | −64.4295 | + | 54.0628i | −3.00404 | + | 2.52069i | ||||
\(461\) | 30.2468 | − | 11.0089i | 1.40874 | − | 0.512738i | 0.477977 | − | 0.878373i | \(-0.341370\pi\) |
0.930758 | + | 0.365635i | \(0.119148\pi\) | |||||||
\(462\) | 1.93203 | − | 1.62117i | 0.0898864 | − | 0.0754236i | ||||
\(463\) | −7.17561 | − | 12.4285i | −0.333479 | − | 0.577602i | 0.649713 | − | 0.760180i | \(-0.274889\pi\) |
−0.983191 | + | 0.182578i | \(0.941556\pi\) | |||||||
\(464\) | 28.8101 | + | 10.4860i | 1.33747 | + | 0.486800i | ||||
\(465\) | 13.8381 | − | 11.6115i | 0.641725 | − | 0.538471i | ||||
\(466\) | 9.74660 | − | 55.2757i | 0.451502 | − | 2.56060i | ||||
\(467\) | −3.90450 | + | 22.1435i | −0.180679 | + | 1.02468i | 0.750704 | + | 0.660639i | \(0.229714\pi\) |
−0.931383 | + | 0.364041i | \(0.881397\pi\) | |||||||
\(468\) | 7.13327 | − | 12.3552i | 0.329735 | − | 0.571119i | ||||
\(469\) | −0.472788 | −0.0218313 | ||||||||
\(470\) | 38.1659 | − | 66.1054i | 1.76046 | − | 3.04921i | ||||
\(471\) | 10.2778 | − | 3.74082i | 0.473576 | − | 0.172368i | ||||
\(472\) | 5.52282 | + | 4.63419i | 0.254208 | + | 0.213306i | ||||
\(473\) | 0.170837 | − | 0.968866i | 0.00785511 | − | 0.0445485i | ||||
\(474\) | 12.4904 | − | 21.6340i | 0.573704 | − | 0.993684i | ||||
\(475\) | −34.1366 | − | 28.6440i | −1.56629 | − | 1.31428i | ||||
\(476\) | −0.00545730 | − | 0.0309499i | −0.000250135 | − | 0.00141859i | ||||
\(477\) | −9.37313 | −0.429166 | ||||||||
\(478\) | −1.62686 | + | 9.22638i | −0.0744109 | + | 0.422005i | ||||
\(479\) | 1.86519 | + | 3.23060i | 0.0852226 | + | 0.147610i | 0.905486 | − | 0.424376i | \(-0.139507\pi\) |
−0.820263 | + | 0.571986i | \(0.806173\pi\) | |||||||
\(480\) | −0.924202 | + | 0.336382i | −0.0421839 | + | 0.0153537i | ||||
\(481\) | 31.4892 | 1.43578 | ||||||||
\(482\) | 61.6501 | 2.80809 | ||||||||
\(483\) | −1.57250 | + | 0.572342i | −0.0715510 | + | 0.0260424i | ||||
\(484\) | −16.8080 | − | 6.11761i | −0.764000 | − | 0.278073i | ||||
\(485\) | −20.3240 | + | 7.39734i | −0.922867 | + | 0.335896i | ||||
\(486\) | −21.2165 | − | 17.8028i | −0.962401 | − | 0.807550i | ||||
\(487\) | −5.33678 | − | 1.94243i | −0.241833 | − | 0.0880199i | 0.218260 | − | 0.975891i | \(-0.429962\pi\) |
−0.460093 | + | 0.887871i | \(0.652184\pi\) | |||||||
\(488\) | 55.4387 | + | 20.1780i | 2.50959 | + | 0.913416i | ||||
\(489\) | −0.0378821 | − | 0.214840i | −0.00171309 | − | 0.00971541i | ||||
\(490\) | 28.1837 | − | 48.8155i | 1.27321 | − | 2.20526i | ||||
\(491\) | 9.91968 | − | 17.1814i | 0.447669 | − | 0.775385i | −0.550565 | − | 0.834792i | \(-0.685588\pi\) |
0.998234 | + | 0.0594070i | \(0.0189210\pi\) | |||||||
\(492\) | 3.97256 | + | 22.5295i | 0.179097 | + | 1.01571i | ||||
\(493\) | −0.304244 | − | 0.110736i | −0.0137024 | − | 0.00498728i | ||||
\(494\) | 52.7283 | + | 19.1915i | 2.37236 | + | 0.863467i | ||||
\(495\) | 11.6589 | + | 9.78297i | 0.524028 | + | 0.439712i | ||||
\(496\) | 14.6370 | − | 5.32743i | 0.657221 | − | 0.239209i | ||||
\(497\) | 0.724256 | + | 0.263607i | 0.0324873 | + | 0.0118244i | ||||
\(498\) | −8.00617 | + | 2.91401i | −0.358765 | + | 0.130580i | ||||
\(499\) | −7.53792 | −0.337444 | −0.168722 | − | 0.985664i | \(-0.553964\pi\) | ||||
−0.168722 | + | 0.985664i | \(0.553964\pi\) | |||||||
\(500\) | 12.7088 | 0.568353 | ||||||||
\(501\) | 5.61831 | − | 2.04490i | 0.251008 | − | 0.0913593i | ||||
\(502\) | −28.0282 | − | 48.5463i | −1.25096 | − | 2.16673i | ||||
\(503\) | −1.38835 | + | 7.87373i | −0.0619035 | + | 0.351072i | 0.938086 | + | 0.346404i | \(0.112597\pi\) |
−0.999989 | + | 0.00466864i | \(0.998514\pi\) | |||||||
\(504\) | −1.09270 | −0.0486725 | ||||||||
\(505\) | 5.44609 | + | 30.8863i | 0.242348 | + | 1.37442i | ||||
\(506\) | 47.0826 | + | 39.5070i | 2.09308 | + | 1.75630i | ||||
\(507\) | −2.41092 | + | 4.17583i | −0.107073 | + | 0.185455i | ||||
\(508\) | 4.77321 | − | 27.0702i | 0.211777 | − | 1.20105i | ||||
\(509\) | −18.5619 | − | 15.5753i | −0.822743 | − | 0.690363i | 0.130870 | − | 0.991400i | \(-0.458223\pi\) |
−0.953613 | + | 0.301036i | \(0.902667\pi\) | |||||||
\(510\) | −0.420343 | + | 0.152992i | −0.0186131 | + | 0.00677461i | ||||
\(511\) | −0.163410 | + | 0.283034i | −0.00722883 | + | 0.0125207i | ||||
\(512\) | −38.2207 | −1.68913 | ||||||||
\(513\) | 21.0731 | − | 36.4996i | 0.930398 | − | 1.61150i | ||||
\(514\) | −8.26537 | + | 46.8752i | −0.364570 | + | 2.06758i | ||||
\(515\) | 9.69311 | − | 54.9724i | 0.427130 | − | 2.42237i | ||||
\(516\) | 1.03077 | − | 0.864918i | 0.0453771 | − | 0.0380759i | ||||
\(517\) | −34.8783 | − | 12.6947i | −1.53395 | − | 0.558311i | ||||
\(518\) | −2.42556 | − | 4.20119i | −0.106573 | − | 0.184590i | ||||
\(519\) | 7.18575 | − | 6.02956i | 0.315420 | − | 0.264668i | ||||
\(520\) | −46.2156 | + | 16.8211i | −2.02669 | + | 0.737654i | ||||
\(521\) | 3.85733 | − | 3.23668i | 0.168993 | − | 0.141802i | −0.554369 | − | 0.832271i | \(-0.687040\pi\) |
0.723362 | + | 0.690469i | \(0.242596\pi\) | |||||||
\(522\) | −11.3213 | + | 19.6091i | −0.495521 | + | 0.858268i | ||||
\(523\) | −2.61710 | + | 14.8423i | −0.114438 | + | 0.649008i | 0.872590 | + | 0.488454i | \(0.162439\pi\) |
−0.987027 | + | 0.160554i | \(0.948672\pi\) | |||||||
\(524\) | −5.83771 | − | 4.89842i | −0.255022 | − | 0.213989i | ||||
\(525\) | 1.46883 | + | 0.534609i | 0.0641048 | + | 0.0233322i | ||||
\(526\) | 29.8235 | + | 51.6557i | 1.30036 | + | 2.25230i | ||||
\(527\) | −0.154571 | + | 0.0562594i | −0.00673324 | + | 0.00245070i | ||||
\(528\) | −10.2985 | − | 17.8375i | −0.448185 | − | 0.776279i | ||||
\(529\) | −8.89010 | − | 15.3981i | −0.386526 | − | 0.669483i | ||||
\(530\) | 49.7878 | + | 41.7769i | 2.16265 | + | 1.81467i | ||||
\(531\) | −1.33376 | + | 1.11915i | −0.0578801 | + | 0.0485672i | ||||
\(532\) | −0.998843 | − | 5.66472i | −0.0433053 | − | 0.245597i | ||||
\(533\) | −2.26668 | − | 12.8550i | −0.0981808 | − | 0.556811i | ||||
\(534\) | 5.51708 | + | 4.62938i | 0.238747 | + | 0.200333i | ||||
\(535\) | −30.4475 | + | 25.5485i | −1.31636 | + | 1.10456i | ||||
\(536\) | −2.05038 | + | 11.6283i | −0.0885629 | + | 0.502265i | ||||
\(537\) | 12.3946 | 0.534868 | ||||||||
\(538\) | 11.2933 | + | 64.0475i | 0.486888 | + | 2.76128i | ||||
\(539\) | −25.7559 | − | 9.37439i | −1.10939 | − | 0.403783i | ||||
\(540\) | 12.9025 | + | 73.1736i | 0.555235 | + | 3.14889i | ||||
\(541\) | 0.597565 | − | 1.03501i | 0.0256913 | − | 0.0444987i | −0.852894 | − | 0.522084i | \(-0.825155\pi\) |
0.878585 | + | 0.477586i | \(0.158488\pi\) | |||||||
\(542\) | 21.0052 | − | 17.6255i | 0.902251 | − | 0.757079i | ||||
\(543\) | 5.63675 | + | 9.76314i | 0.241896 | + | 0.418976i | ||||
\(544\) | 0.00895578 | 0.000383976 | ||||||||
\(545\) | 26.9533 | + | 21.6494i | 1.15455 | + | 0.927360i | ||||
\(546\) | −1.96823 | −0.0842325 | ||||||||
\(547\) | −11.0814 | − | 19.1936i | −0.473808 | − | 0.820660i | 0.525742 | − | 0.850644i | \(-0.323788\pi\) |
−0.999550 | + | 0.0299843i | \(0.990454\pi\) | |||||||
\(548\) | −16.7558 | + | 14.0598i | −0.715774 | + | 0.600606i | ||||
\(549\) | −7.12382 | + | 12.3388i | −0.304037 | + | 0.526608i | ||||
\(550\) | −9.96914 | − | 56.5378i | −0.425086 | − | 2.41078i | ||||
\(551\) | −55.6853 | − | 20.2678i | −2.37227 | − | 0.863437i | ||||
\(552\) | 7.25723 | + | 41.1578i | 0.308888 | + | 1.75179i | ||||
\(553\) | 1.46116 | 0.0621347 | ||||||||
\(554\) | −7.03430 | + | 39.8935i | −0.298859 | + | 1.69491i | ||||
\(555\) | −35.1961 | + | 29.5330i | −1.49399 | + | 1.25361i | ||||
\(556\) | 0.391615 | + | 0.328604i | 0.0166082 | + | 0.0139359i | ||||
\(557\) | −3.04793 | − | 17.2857i | −0.129145 | − | 0.732417i | −0.978759 | − | 0.205013i | \(-0.934276\pi\) |
0.849614 | − | 0.527404i | \(-0.176835\pi\) | |||||||
\(558\) | 1.99759 | + | 11.3289i | 0.0845646 | + | 0.479590i | ||||
\(559\) | −0.588141 | + | 0.493509i | −0.0248757 | + | 0.0208732i | ||||
\(560\) | 1.89795 | + | 1.59257i | 0.0802029 | + | 0.0672982i | ||||
\(561\) | 0.108756 | + | 0.188370i | 0.00459167 | + | 0.00795300i | ||||
\(562\) | 12.9167 | + | 22.3724i | 0.544858 | + | 0.943721i | ||||
\(563\) | 6.15904 | − | 2.24171i | 0.259572 | − | 0.0944766i | −0.208956 | − | 0.977925i | \(-0.567007\pi\) |
0.468528 | + | 0.883448i | \(0.344784\pi\) | |||||||
\(564\) | −25.3825 | − | 43.9638i | −1.06880 | − | 1.85121i | ||||
\(565\) | 14.6257 | + | 5.32330i | 0.615306 | + | 0.223953i | ||||
\(566\) | −11.8625 | − | 9.95384i | −0.498619 | − | 0.418391i | ||||
\(567\) | −0.138970 | + | 0.788139i | −0.00583620 | + | 0.0330987i | ||||
\(568\) | 9.62439 | − | 16.6699i | 0.403830 | − | 0.699455i | ||||
\(569\) | 22.8227 | − | 19.1505i | 0.956776 | − | 0.802830i | −0.0236498 | − | 0.999720i | \(-0.507529\pi\) |
0.980426 | + | 0.196890i | \(0.0630842\pi\) | |||||||
\(570\) | −76.9348 | + | 28.0020i | −3.22245 | + | 1.17287i | ||||
\(571\) | 14.4669 | − | 12.1392i | 0.605423 | − | 0.508010i | −0.287761 | − | 0.957702i | \(-0.592911\pi\) |
0.893184 | + | 0.449692i | \(0.148466\pi\) | |||||||
\(572\) | 24.0512 | + | 41.6579i | 1.00563 | + | 1.74181i | ||||
\(573\) | 10.1028 | + | 3.67712i | 0.422051 | + | 0.153614i | ||||
\(574\) | −1.54048 | + | 1.29261i | −0.0642982 | + | 0.0539526i | ||||
\(575\) | −6.61455 | + | 37.5130i | −0.275846 | + | 1.56440i | ||||
\(576\) | 1.67602 | − | 9.50516i | 0.0698340 | − | 0.396048i | ||||
\(577\) | −8.72918 | + | 15.1194i | −0.363400 | + | 0.629428i | −0.988518 | − | 0.151102i | \(-0.951718\pi\) |
0.625118 | + | 0.780531i | \(0.285051\pi\) | |||||||
\(578\) | −41.5589 | −1.72862 | ||||||||
\(579\) | −10.9100 | + | 18.8967i | −0.453404 | + | 0.785319i | ||||
\(580\) | 98.1717 | − | 35.7316i | 4.07636 | − | 1.48367i | ||||
\(581\) | −0.381753 | − | 0.320329i | −0.0158378 | − | 0.0132895i | ||||
\(582\) | −3.75374 | + | 21.2885i | −0.155598 | + | 0.882438i | ||||
\(583\) | 15.8017 | − | 27.3693i | 0.654439 | − | 1.13352i | ||||
\(584\) | 6.25258 | + | 5.24654i | 0.258734 | + | 0.217103i | ||||
\(585\) | −2.06247 | − | 11.6969i | −0.0852728 | − | 0.483606i | ||||
\(586\) | 20.2865 | 0.838026 | ||||||||
\(587\) | −2.85615 | + | 16.1980i | −0.117886 | + | 0.668563i | 0.867395 | + | 0.497620i | \(0.165793\pi\) |
−0.985281 | + | 0.170943i | \(0.945319\pi\) | |||||||
\(588\) | −18.7437 | − | 32.4651i | −0.772979 | − | 1.33884i | ||||
\(589\) | −28.2910 | + | 10.2971i | −1.16571 | + | 0.424284i | ||||
\(590\) | 12.0728 | 0.497028 | ||||||||
\(591\) | 4.35058 | 0.178959 | ||||||||
\(592\) | −37.2281 | + | 13.5499i | −1.53007 | + | 0.556899i | ||||
\(593\) | 34.9494 | + | 12.7205i | 1.43520 | + | 0.522369i | 0.938417 | − | 0.345506i | \(-0.112293\pi\) |
0.496782 | + | 0.867876i | \(0.334515\pi\) | |||||||
\(594\) | 51.0228 | − | 18.5708i | 2.09349 | − | 0.761969i | ||||
\(595\) | −0.0200429 | − | 0.0168180i | −0.000821680 | − | 0.000689472i | ||||
\(596\) | −54.3011 | − | 19.7640i | −2.22426 | − | 0.809564i | ||||
\(597\) | 30.3342 | + | 11.0407i | 1.24149 | + | 0.451867i | ||||
\(598\) | −8.32898 | − | 47.2360i | −0.340597 | − | 1.93162i | ||||
\(599\) | 5.62939 | − | 9.75039i | 0.230011 | − | 0.398390i | −0.727800 | − | 0.685789i | \(-0.759457\pi\) |
0.957811 | + | 0.287399i | \(0.0927906\pi\) | |||||||
\(600\) | 19.5187 | − | 33.8074i | 0.796849 | − | 1.38018i | ||||
\(601\) | 2.60526 | + | 14.7752i | 0.106271 | + | 0.602692i | 0.990705 | + | 0.136027i | \(0.0434334\pi\) |
−0.884434 | + | 0.466665i | \(0.845455\pi\) | |||||||
\(602\) | 0.111146 | + | 0.0404539i | 0.00452998 | + | 0.00164878i | ||||
\(603\) | −2.67957 | − | 0.975284i | −0.109121 | − | 0.0397167i | ||||
\(604\) | −50.6586 | − | 42.5076i | −2.06127 | − | 1.72961i | ||||
\(605\) | −13.9932 | + | 5.09309i | −0.568903 | + | 0.207064i | ||||
\(606\) | 29.4558 | + | 10.7210i | 1.19656 | + | 0.435513i | ||||
\(607\) | −23.9133 | + | 8.70373i | −0.970611 | + | 0.353273i | −0.778183 | − | 0.628038i | \(-0.783858\pi\) |
−0.192428 | + | 0.981311i | \(0.561636\pi\) | |||||||
\(608\) | 1.63917 | 0.0664770 | ||||||||
\(609\) | 2.07861 | 0.0842296 | ||||||||
\(610\) | 92.8353 | − | 33.7893i | 3.75879 | − | 1.36809i | ||||
\(611\) | 14.4829 | + | 25.0851i | 0.585915 | + | 1.01483i | ||||
\(612\) | 0.0329148 | − | 0.186669i | 0.00133050 | − | 0.00754564i | ||||
\(613\) | −34.7304 | −1.40275 | −0.701375 | − | 0.712793i | \(-0.747430\pi\) | ||||
−0.701375 | + | 0.712793i | \(0.747430\pi\) | |||||||
\(614\) | −3.17818 | − | 18.0243i | −0.128261 | − | 0.727403i | ||||
\(615\) | 14.5899 | + | 12.2424i | 0.588323 | + | 0.493662i | ||||
\(616\) | 1.84212 | − | 3.19064i | 0.0742211 | − | 0.128555i | ||||
\(617\) | −3.89906 | + | 22.1127i | −0.156970 | + | 0.890222i | 0.799992 | + | 0.600010i | \(0.204837\pi\) |
−0.956962 | + | 0.290212i | \(0.906274\pi\) | |||||||
\(618\) | −42.7383 | − | 35.8617i | −1.71919 | − | 1.44257i | ||||
\(619\) | −32.6940 | + | 11.8997i | −1.31408 | + | 0.478288i | −0.901558 | − | 0.432658i | \(-0.857576\pi\) |
−0.412526 | + | 0.910946i | \(0.635354\pi\) | |||||||
\(620\) | 26.5386 | − | 45.9663i | 1.06582 | − | 1.84605i | ||||
\(621\) | −36.0265 | −1.44569 | ||||||||
\(622\) | 14.9817 | − | 25.9491i | 0.600712 | − | 1.04046i | ||||
\(623\) | −0.0731501 | + | 0.414855i | −0.00293070 | + | 0.0166208i | ||||
\(624\) | −2.79119 | + | 15.8296i | −0.111737 | + | 0.633693i | ||||
\(625\) | −14.7419 | + | 12.3700i | −0.589678 | + | 0.494798i | ||||
\(626\) | −17.0585 | − | 6.20877i | −0.681793 | − | 0.248152i | ||||
\(627\) | 19.9054 | + | 34.4772i | 0.794946 | + | 1.37689i | ||||
\(628\) | 24.6182 | − | 20.6571i | 0.982372 | − | 0.824308i | ||||
\(629\) | 0.393141 | − | 0.143092i | 0.0156756 | − | 0.00570544i | ||||
\(630\) | −1.40169 | + | 1.17616i | −0.0558448 | + | 0.0468594i | ||||
\(631\) | 23.4871 | − | 40.6809i | 0.935008 | − | 1.61948i | 0.160388 | − | 0.987054i | \(-0.448726\pi\) |
0.774620 | − | 0.632427i | \(-0.217941\pi\) | |||||||
\(632\) | 6.33671 | − | 35.9373i | 0.252061 | − | 1.42951i | ||||
\(633\) | 5.73771 | + | 4.81451i | 0.228054 | + | 0.191360i | ||||
\(634\) | −13.8403 | − | 5.03747i | −0.549670 | − | 0.200063i | ||||
\(635\) | −11.4422 | − | 19.8185i | −0.454070 | − | 0.786472i | ||||
\(636\) | 40.6176 | − | 14.7836i | 1.61059 | − | 0.586207i | ||||
\(637\) | 10.6949 | + | 18.5241i | 0.423747 | + | 0.733951i | ||||
\(638\) | −38.1721 | − | 66.1160i | −1.51125 | − | 2.61756i | ||||
\(639\) | 3.56101 | + | 2.98804i | 0.140871 | + | 0.118205i | ||||
\(640\) | −50.1549 | + | 42.0849i | −1.98255 | + | 1.66355i | ||||
\(641\) | 2.08398 | + | 11.8188i | 0.0823122 | + | 0.466816i | 0.997904 | + | 0.0647073i | \(0.0206114\pi\) |
−0.915592 | + | 0.402108i | \(0.868278\pi\) | |||||||
\(642\) | 6.89823 | + | 39.1218i | 0.272251 | + | 1.54401i | ||||
\(643\) | 8.86599 | + | 7.43945i | 0.349641 | + | 0.293383i | 0.800646 | − | 0.599138i | \(-0.204490\pi\) |
−0.451005 | + | 0.892521i | \(0.648934\pi\) | |||||||
\(644\) | −3.76656 | + | 3.16052i | −0.148423 | + | 0.124542i | ||||
\(645\) | 0.194526 | − | 1.10321i | 0.00765945 | − | 0.0434389i | ||||
\(646\) | 0.745520 | 0.0293321 | ||||||||
\(647\) | 0.334754 | + | 1.89848i | 0.0131605 | + | 0.0746370i | 0.990681 | − | 0.136205i | \(-0.0434906\pi\) |
−0.977520 | + | 0.210842i | \(0.932379\pi\) | |||||||
\(648\) | 18.7817 | + | 6.83597i | 0.737814 | + | 0.268542i | ||||
\(649\) | −1.01939 | − | 5.78126i | −0.0400146 | − | 0.226934i | ||||
\(650\) | −22.4013 | + | 38.8001i | −0.878650 | + | 1.52187i | ||||
\(651\) | 0.808975 | − | 0.678811i | 0.0317062 | − | 0.0266047i | ||||
\(652\) | −0.320495 | − | 0.555114i | −0.0125516 | − | 0.0217399i | ||||
\(653\) | −14.7162 | −0.575891 | −0.287946 | − | 0.957647i | \(-0.592972\pi\) | ||||
−0.287946 | + | 0.957647i | \(0.592972\pi\) | |||||||
\(654\) | 32.2086 | − | 12.5109i | 1.25945 | − | 0.489215i | ||||
\(655\) | −6.34437 | −0.247895 | ||||||||
\(656\) | 8.21135 | + | 14.2225i | 0.320599 | + | 0.555294i | ||||
\(657\) | −1.50999 | + | 1.26704i | −0.0589105 | + | 0.0494318i | ||||
\(658\) | 2.23119 | − | 3.86453i | 0.0869807 | − | 0.150655i | ||||
\(659\) | 1.98476 | + | 11.2561i | 0.0773152 | + | 0.438476i | 0.998752 | + | 0.0499476i | \(0.0159054\pi\) |
−0.921437 | + | 0.388529i | \(0.872983\pi\) | |||||||
\(660\) | −65.9527 | − | 24.0048i | −2.56720 | − | 0.934386i | ||||
\(661\) | 2.85085 | + | 16.1680i | 0.110885 | + | 0.628862i | 0.988705 | + | 0.149871i | \(0.0478860\pi\) |
−0.877820 | + | 0.478990i | \(0.841003\pi\) | |||||||
\(662\) | 22.1155 | 0.859544 | ||||||||
\(663\) | 0.0294759 | − | 0.167166i | 0.00114475 | − | 0.00649219i | ||||
\(664\) | −9.53410 | + | 8.00006i | −0.369995 | + | 0.310463i | ||||
\(665\) | −3.66843 | − | 3.07818i | −0.142256 | − | 0.119367i | ||||
\(666\) | −5.08072 | − | 28.8142i | −0.196874 | − | 1.11653i | ||||
\(667\) | 8.79608 | + | 49.8850i | 0.340586 | + | 1.93156i | ||||
\(668\) | 13.4574 | − | 11.2921i | 0.520683 | − | 0.436905i | ||||
\(669\) | 0.853866 | + | 0.716479i | 0.0330124 | + | 0.0277007i | ||||
\(670\) | 9.88631 | + | 17.1236i | 0.381942 | + | 0.661542i | ||||
\(671\) | −24.0194 | − | 41.6027i | −0.927257 | − | 1.60606i | ||||
\(672\) | −0.0540290 | + | 0.0196650i | −0.00208421 | + | 0.000758592i | ||||
\(673\) | −0.997020 | − | 1.72689i | −0.0384323 | − | 0.0665667i | 0.846169 | − | 0.532914i | \(-0.178903\pi\) |
−0.884602 | + | 0.466347i | \(0.845570\pi\) | |||||||
\(674\) | −79.7182 | − | 29.0150i | −3.07063 | − | 1.11762i | ||||
\(675\) | 25.7784 | + | 21.6307i | 0.992212 | + | 0.832565i | ||||
\(676\) | −2.46020 | + | 13.9525i | −0.0946230 | + | 0.536634i | ||||
\(677\) | 22.6993 | − | 39.3163i | 0.872403 | − | 1.51105i | 0.0129000 | − | 0.999917i | \(-0.495894\pi\) |
0.859503 | − | 0.511130i | \(-0.170773\pi\) | |||||||
\(678\) | 11.9166 | − | 9.99925i | 0.457656 | − | 0.384019i | ||||
\(679\) | −1.18815 | + | 0.432450i | −0.0455969 | + | 0.0165959i | ||||
\(680\) | −0.500563 | + | 0.420022i | −0.0191957 | + | 0.0161071i | ||||
\(681\) | 0.333555 | + | 0.577735i | 0.0127819 | + | 0.0221388i | ||||
\(682\) | −36.4477 | − | 13.2659i | −1.39565 | − | 0.507976i | ||||
\(683\) | 9.12665 | − | 7.65817i | 0.349221 | − | 0.293032i | −0.451256 | − | 0.892395i | \(-0.649024\pi\) |
0.800477 | + | 0.599363i | \(0.204579\pi\) | |||||||
\(684\) | 6.02435 | − | 34.1658i | 0.230347 | − | 1.30636i | ||||
\(685\) | −3.16215 | + | 17.9334i | −0.120819 | + | 0.685201i | ||||
\(686\) | 3.30411 | − | 5.72289i | 0.126152 | − | 0.218501i | ||||
\(687\) | −6.01728 | −0.229574 | ||||||||
\(688\) | 0.482972 | − | 0.836532i | 0.0184131 | − | 0.0318925i | ||||
\(689\) | −23.1758 | + | 8.43529i | −0.882926 | + | 0.321359i | ||||
\(690\) | 53.6111 | + | 44.9851i | 2.04094 | + | 1.71255i | ||||
\(691\) | −8.60067 | + | 48.7768i | −0.327185 | + | 1.85556i | 0.166669 | + | 0.986013i | \(0.446699\pi\) |
−0.493854 | + | 0.869545i | \(0.664412\pi\) | |||||||
\(692\) | 13.7808 | − | 23.8691i | 0.523869 | − | 0.907368i | ||||
\(693\) | 0.681581 | + | 0.571914i | 0.0258911 | + | 0.0217252i | ||||
\(694\) | 7.89799 | + | 44.7917i | 0.299804 | + | 1.70027i | ||||
\(695\) | 0.425603 | 0.0161440 | ||||||||
\(696\) | 9.01448 | − | 51.1236i | 0.341693 | − | 1.93784i | ||||
\(697\) | −0.0867145 | − | 0.150194i | −0.00328455 | − | 0.00568900i | ||||
\(698\) | −26.2698 | + | 9.56144i | −0.994328 | + | 0.361906i | ||||
\(699\) | −31.0772 | −1.17545 | ||||||||
\(700\) | 4.59274 | 0.173589 | ||||||||
\(701\) | −40.2910 | + | 14.6647i | −1.52177 | + | 0.553879i | −0.961589 | − | 0.274493i | \(-0.911490\pi\) |
−0.560180 | + | 0.828371i | \(0.689268\pi\) | |||||||
\(702\) | −39.8180 | − | 14.4926i | −1.50283 | − | 0.546987i | ||||
\(703\) | 71.9562 | − | 26.1899i | 2.71388 | − | 0.987771i | ||||
\(704\) | 24.9293 | + | 20.9182i | 0.939559 | + | 0.788384i | ||||
\(705\) | −39.7146 | − | 14.4549i | −1.49574 | − | 0.544404i | ||||
\(706\) | −5.53273 | − | 2.01375i | −0.208227 | − | 0.0757884i | ||||
\(707\) | 0.318380 | + | 1.80562i | 0.0119739 | + | 0.0679073i | ||||
\(708\) | 4.01454 | − | 6.95339i | 0.150876 | − | 0.261324i | ||||
\(709\) | −16.8330 | + | 29.1556i | −0.632176 | + | 1.09496i | 0.354930 | + | 0.934893i | \(0.384505\pi\) |
−0.987106 | + | 0.160068i | \(0.948829\pi\) | |||||||
\(710\) | −5.59724 | − | 31.7435i | −0.210061 | − | 1.19131i | ||||
\(711\) | 8.28123 | + | 3.01412i | 0.310571 | + | 0.113038i | ||||
\(712\) | 9.88616 | + | 3.59827i | 0.370500 | + | 0.134851i | ||||
\(713\) | 19.7143 | + | 16.5422i | 0.738306 | + | 0.619512i | ||||
\(714\) | −0.0245733 | + | 0.00894395i | −0.000919633 | + | 0.000334719i | ||||
\(715\) | 37.6316 | + | 13.6968i | 1.40734 | + | 0.512231i | ||||
\(716\) | 34.2221 | − | 12.4558i | 1.27894 | − | 0.465496i | ||||
\(717\) | 5.18727 | 0.193722 | ||||||||
\(718\) | 50.3342 | 1.87846 | ||||||||
\(719\) | 8.74036 | − | 3.18123i | 0.325960 | − | 0.118640i | −0.173856 | − | 0.984771i | \(-0.555623\pi\) |
0.499817 | + | 0.866131i | \(0.333401\pi\) | |||||||
\(720\) | 7.47159 | + | 12.9412i | 0.278450 | + | 0.482289i | ||||
\(721\) | 0.566661 | − | 3.21369i | 0.0211036 | − | 0.119684i | ||||
\(722\) | 89.9990 | 3.34942 | ||||||||
\(723\) | −5.92738 | − | 33.6158i | −0.220442 | − | 1.25019i | ||||
\(724\) | 25.3747 | + | 21.2919i | 0.943042 | + | 0.791306i | ||||
\(725\) | 23.6575 | − | 40.9761i | 0.878619 | − | 1.52181i | ||||
\(726\) | −2.58446 | + | 14.6572i | −0.0959185 | + | 0.543981i | ||||
\(727\) | 1.56272 | + | 1.31127i | 0.0579580 | + | 0.0486325i | 0.671306 | − | 0.741180i | \(-0.265733\pi\) |
−0.613349 | + | 0.789812i | \(0.710178\pi\) | |||||||
\(728\) | −2.70177 | + | 0.983364i | −0.100134 | + | 0.0364459i | ||||
\(729\) | −13.8687 | + | 24.0212i | −0.513654 | + | 0.889675i | ||||
\(730\) | 13.6680 | 0.505877 | ||||||||
\(731\) | −0.00510034 | + | 0.00883405i | −0.000188643 | + | 0.000326739i | ||||
\(732\) | 11.4092 | − | 64.7050i | 0.421697 | − | 2.39156i | ||||
\(733\) | 4.30802 | − | 24.4320i | 0.159121 | − | 0.902417i | −0.795801 | − | 0.605558i | \(-0.792950\pi\) |
0.954921 | − | 0.296859i | \(-0.0959391\pi\) | |||||||
\(734\) | −57.2308 | + | 48.0223i | −2.11243 | + | 1.77254i | ||||
\(735\) | −29.3273 | − | 10.6743i | −1.08175 | − | 0.393726i | ||||
\(736\) | −0.700579 | − | 1.21344i | −0.0258237 | − | 0.0447279i | ||||
\(737\) | 7.36516 | − | 6.18010i | 0.271299 | − | 0.227647i | ||||
\(738\) | −11.3972 | + | 4.14826i | −0.419538 | + | 0.152699i | ||||
\(739\) | −2.21788 | + | 1.86102i | −0.0815860 | + | 0.0684587i | −0.682669 | − | 0.730728i | \(-0.739181\pi\) |
0.601083 | + | 0.799187i | \(0.294736\pi\) | |||||||
\(740\) | −67.4991 | + | 116.912i | −2.48132 | + | 4.29776i | ||||
\(741\) | 5.39494 | − | 30.5962i | 0.198188 | − | 1.12398i | ||||
\(742\) | 2.91060 | + | 2.44229i | 0.106852 | + | 0.0896592i | ||||
\(743\) | 9.16744 | + | 3.33668i | 0.336321 | + | 0.122411i | 0.504660 | − | 0.863318i | \(-0.331618\pi\) |
−0.168339 | + | 0.985729i | \(0.553840\pi\) | |||||||
\(744\) | −13.1871 | − | 22.8407i | −0.483461 | − | 0.837380i | ||||
\(745\) | −45.2072 | + | 16.4541i | −1.65627 | + | 0.602831i | ||||
\(746\) | −20.8610 | − | 36.1323i | −0.763775 | − | 1.32290i | ||||
\(747\) | −1.50284 | − | 2.60299i | −0.0549859 | − | 0.0952384i | ||||
\(748\) | 0.489579 | + | 0.410806i | 0.0179008 | + | 0.0150205i | ||||
\(749\) | −1.77996 | + | 1.49357i | −0.0650385 | + | 0.0545737i | ||||
\(750\) | −1.83630 | − | 10.4142i | −0.0670522 | − | 0.380272i | ||||
\(751\) | −8.57197 | − | 48.6140i | −0.312795 | − | 1.77395i | −0.584323 | − | 0.811521i | \(-0.698640\pi\) |
0.271528 | − | 0.962431i | \(-0.412471\pi\) | |||||||
\(752\) | −27.9167 | − | 23.4249i | −1.01802 | − | 0.854217i | ||||
\(753\) | −23.7759 | + | 19.9504i | −0.866443 | + | 0.727032i | ||||
\(754\) | −10.3457 | + | 58.6736i | −0.376769 | + | 2.13677i | ||||
\(755\) | −55.0553 | −2.00367 | ||||||||
\(756\) | 0.754281 | + | 4.27774i | 0.0274330 | + | 0.155580i | ||||
\(757\) | 36.9558 | + | 13.4508i | 1.34318 | + | 0.488878i | 0.910813 | − | 0.412820i | \(-0.135456\pi\) |
0.432367 | + | 0.901697i | \(0.357678\pi\) | |||||||
\(758\) | −15.5651 | − | 88.2739i | −0.565349 | − | 3.20625i | ||||
\(759\) | 17.0151 | − | 29.4711i | 0.617610 | − | 1.06973i | ||||
\(760\) | −91.6174 | + | 76.8761i | −3.32331 | + | 2.78859i | ||||
\(761\) | 0.837675 | + | 1.45090i | 0.0303657 | + | 0.0525949i | 0.880809 | − | 0.473472i | \(-0.156999\pi\) |
−0.850443 | + | 0.526067i | \(0.823666\pi\) | |||||||
\(762\) | −22.8723 | −0.828577 | ||||||||
\(763\) | 1.57569 | + | 1.26563i | 0.0570439 | + | 0.0458189i | ||||
\(764\) | 31.5896 | 1.14287 | ||||||||
\(765\) | −0.0789024 | − | 0.136663i | −0.00285272 | − | 0.00494106i | ||||
\(766\) | −46.5806 | + | 39.0858i | −1.68303 | + | 1.41223i | ||||
\(767\) | −2.29064 | + | 3.96750i | −0.0827101 | + | 0.143258i | ||||
\(768\) | 7.47677 | + | 42.4029i | 0.269795 | + | 1.53008i | ||||
\(769\) | 41.6136 | + | 15.1461i | 1.50062 | + | 0.546182i | 0.956222 | − | 0.292642i | \(-0.0945345\pi\) |
0.544402 | + | 0.838825i | \(0.316757\pi\) | |||||||
\(770\) | −1.07132 | − | 6.07574i | −0.0386076 | − | 0.218955i | ||||
\(771\) | 26.3542 | 0.949125 | ||||||||
\(772\) | −11.1330 | + | 63.1384i | −0.400686 | + | 2.27240i | ||||
\(773\) | −21.0600 | + | 17.6715i | −0.757477 | + | 0.635598i | −0.937469 | − | 0.348070i | \(-0.886837\pi\) |
0.179992 | + | 0.983668i | \(0.442393\pi\) | |||||||
\(774\) | 0.546481 | + | 0.458552i | 0.0196429 | + | 0.0164823i | ||||
\(775\) | −4.17425 | − | 23.6733i | −0.149943 | − | 0.850371i | ||||
\(776\) | 5.48342 | + | 31.0980i | 0.196843 | + | 1.11635i | ||||
\(777\) | −2.05757 | + | 1.72651i | −0.0738149 | + | 0.0619381i | ||||
\(778\) | −48.0248 | − | 40.2976i | −1.72177 | − | 1.44474i | ||||
\(779\) | −15.8713 | − | 27.4898i | −0.568647 | − | 0.984925i | ||||
\(780\) | 27.3862 | + | 47.4343i | 0.980583 | + | 1.69842i | ||||
\(781\) | −14.7283 | + | 5.36067i | −0.527021 | + | 0.191820i | ||||
\(782\) | −0.318635 | − | 0.551892i | −0.0113944 | − | 0.0197356i | ||||
\(783\) | 42.0511 | + | 15.3053i | 1.50278 | + | 0.546968i | ||||
\(784\) | −20.6151 | − | 17.2981i | −0.736253 | − | 0.617789i | ||||
\(785\) | 4.64592 | − | 26.3483i | 0.165820 | − | 0.940412i | ||||
\(786\) | −3.17051 | + | 5.49148i | −0.113088 | + | 0.195875i | ||||
\(787\) | 11.2043 | − | 9.40155i | 0.399391 | − | 0.335129i | −0.420867 | − | 0.907122i | \(-0.638274\pi\) |
0.820258 | + | 0.571993i | \(0.193830\pi\) | |||||||
\(788\) | 12.0121 | − | 4.37206i | 0.427915 | − | 0.155748i | ||||
\(789\) | 25.2988 | − | 21.2282i | 0.900662 | − | 0.755745i | ||||
\(790\) | −30.5537 | − | 52.9206i | −1.08705 | − | 1.88283i | ||||
\(791\) | 0.855018 | + | 0.311201i | 0.0304009 | + | 0.0110650i | ||||
\(792\) | 17.0221 | − | 14.2833i | 0.604856 | − | 0.507534i | ||||
\(793\) | −6.50994 | + | 36.9197i | −0.231175 | + | 1.31106i | ||||
\(794\) | −4.46535 | + | 25.3243i | −0.158469 | + | 0.898724i | ||||
\(795\) | 17.9928 | − | 31.1644i | 0.638137 | − | 1.10529i | ||||
\(796\) | 94.8492 | 3.36184 | ||||||||
\(797\) | −6.51412 | + | 11.2828i | −0.230742 | + | 0.399657i | −0.958027 | − | 0.286679i | \(-0.907449\pi\) |
0.727285 | + | 0.686336i | \(0.240782\pi\) | |||||||
\(798\) | −4.49762 | + | 1.63700i | −0.159214 | + | 0.0579492i | ||||
\(799\) | 0.294809 | + | 0.247374i | 0.0104296 | + | 0.00875147i | ||||
\(800\) | −0.227268 | + | 1.28890i | −0.00803513 | + | 0.0455695i | ||||
\(801\) | −1.27036 | + | 2.20033i | −0.0448860 | + | 0.0777449i | ||||
\(802\) | −18.0784 | − | 15.1696i | −0.638370 | − | 0.535656i | ||||
\(803\) | −1.15409 | − | 6.54518i | −0.0407270 | − | 0.230974i | ||||
\(804\) | 13.1499 | 0.463762 | ||||||||
\(805\) | −0.710822 | + | 4.03127i | −0.0250532 | + | 0.142084i | ||||
\(806\) | 15.1345 | + | 26.2138i | 0.533091 | + | 0.923341i | ||||
\(807\) | 33.8372 | − | 12.3157i | 1.19113 | − | 0.433535i | ||||
\(808\) | 45.7901 | 1.61089 | ||||||||
\(809\) | 1.17717 | 0.0413872 | 0.0206936 | − | 0.999786i | \(-0.493413\pi\) | ||||
0.0206936 | + | 0.999786i | \(0.493413\pi\) | |||||||
\(810\) | 31.4510 | − | 11.4472i | 1.10508 | − | 0.402215i | ||||
\(811\) | 12.6212 | + | 4.59374i | 0.443190 | + | 0.161308i | 0.553969 | − | 0.832537i | \(-0.313112\pi\) |
−0.110779 | + | 0.993845i | \(0.535335\pi\) | |||||||
\(812\) | 5.73913 | − | 2.08887i | 0.201404 | − | 0.0733051i | ||||
\(813\) | −11.6302 | − | 9.75886i | −0.407887 | − | 0.342258i | ||||
\(814\) | 92.7020 | + | 33.7408i | 3.24920 | + | 1.18261i | ||||
\(815\) | −0.501461 | − | 0.182517i | −0.0175654 | − | 0.00639329i | ||||
\(816\) | 0.0370844 | + | 0.210316i | 0.00129821 | + | 0.00736254i | ||||
\(817\) | −0.933510 | + | 1.61689i | −0.0326594 | + | 0.0565677i | ||||
\(818\) | −37.3644 | + | 64.7171i | −1.30642 | + | 2.26278i | ||||
\(819\) | −0.120573 | − | 0.683801i | −0.00421315 | − | 0.0238939i | ||||
\(820\) | 52.5863 | + | 19.1398i | 1.83639 | + | 0.668392i | ||||
\(821\) | −9.97851 | − | 3.63188i | −0.348252 | − | 0.126753i | 0.161971 | − | 0.986796i | \(-0.448215\pi\) |
−0.510223 | + | 0.860042i | \(0.670437\pi\) | |||||||
\(822\) | 13.9424 | + | 11.6990i | 0.486296 | + | 0.408051i | ||||
\(823\) | −10.3010 | + | 3.74926i | −0.359070 | + | 0.130691i | −0.515255 | − | 0.857037i | \(-0.672303\pi\) |
0.156185 | + | 0.987728i | \(0.450081\pi\) | |||||||
\(824\) | −76.5836 | − | 27.8742i | −2.66792 | − | 0.971042i | ||||
\(825\) | −29.8698 | + | 10.8717i | −1.03993 | + | 0.378504i | ||||
\(826\) | 0.705776 | 0.0245571 | ||||||||
\(827\) | −48.1257 | −1.67350 | −0.836748 | − | 0.547588i | \(-0.815546\pi\) | ||||
−0.836748 | + | 0.547588i | \(0.815546\pi\) | |||||||
\(828\) | −27.8670 | + | 10.1427i | −0.968444 | + | 0.352485i | ||||
\(829\) | 18.5413 | + | 32.1146i | 0.643968 | + | 1.11538i | 0.984539 | + | 0.175166i | \(0.0560462\pi\) |
−0.340571 | + | 0.940219i | \(0.610621\pi\) | |||||||
\(830\) | −3.61907 | + | 20.5247i | −0.125620 | + | 0.712424i | ||||
\(831\) | 22.4290 | 0.778052 | ||||||||
\(832\) | −4.41003 | − | 25.0105i | −0.152890 | − | 0.867084i | ||||
\(833\) | 0.217702 | + | 0.182674i | 0.00754292 | + | 0.00632926i | ||||
\(834\) | 0.212689 | − | 0.368388i | 0.00736482 | − | 0.0127562i | ||||
\(835\) | 2.53967 | − | 14.4032i | 0.0878889 | − | 0.498443i | ||||
\(836\) | 89.6071 | + | 75.1893i | 3.09913 | + | 2.60048i | ||||
\(837\) | 21.3641 | − | 7.77590i | 0.738452 | − | 0.268774i | ||||
\(838\) | 18.2405 | − | 31.5934i | 0.630107 | − | 1.09138i | ||||
\(839\) | 45.7343 | 1.57892 | 0.789462 | − | 0.613799i | \(-0.210360\pi\) | ||||
0.789462 | + | 0.613799i | \(0.210360\pi\) | |||||||
\(840\) | 2.09755 | − | 3.63306i | 0.0723723 | − | 0.125353i | ||||
\(841\) | 5.89014 | − | 33.4046i | 0.203108 | − | 1.15188i | ||||
\(842\) | −10.0733 | + | 57.1285i | −0.347149 | + | 1.96878i | ||||
\(843\) | 10.9570 | − | 9.19406i | 0.377381 | − | 0.316660i | ||||
\(844\) | 20.6803 | + | 7.52703i | 0.711847 | + | 0.259091i | ||||
\(845\) | 5.89752 | + | 10.2148i | 0.202881 | + | 0.351400i | ||||
\(846\) | 20.6173 | − | 17.3000i | 0.708839 | − | 0.594787i | ||||
\(847\) | −0.818042 | + | 0.297743i | −0.0281083 | + | 0.0102306i | ||||
\(848\) | 23.7699 | − | 19.9453i | 0.816261 | − | 0.684924i | ||||
\(849\) | −4.28698 | + | 7.42527i | −0.147129 | + | 0.254835i | ||||
\(850\) | −0.103365 | + | 0.586213i | −0.00354540 | + | 0.0201070i | ||||
\(851\) | −50.1418 | − | 42.0740i | −1.71884 | − | 1.44228i | ||||
\(852\) | −20.1441 | − | 7.33186i | −0.690126 | − | 0.251185i | ||||
\(853\) | 9.34440 | + | 16.1850i | 0.319946 | + | 0.554163i | 0.980477 | − | 0.196636i | \(-0.0630018\pi\) |
−0.660530 | + | 0.750799i | \(0.729668\pi\) | |||||||
\(854\) | 5.42717 | − | 1.97533i | 0.185714 | − | 0.0675943i | ||||
\(855\) | −14.4414 | − | 25.0133i | −0.493886 | − | 0.855435i | ||||
\(856\) | 29.0151 | + | 50.2556i | 0.991716 | + | 1.71770i | ||||
\(857\) | −24.3412 | − | 20.4247i | −0.831480 | − | 0.697695i | 0.124150 | − | 0.992263i | \(-0.460380\pi\) |
−0.955630 | + | 0.294568i | \(0.904824\pi\) | |||||||
\(858\) | 30.6614 | − | 25.7279i | 1.04676 | − | 0.878337i | ||||
\(859\) | −1.89500 | − | 10.7471i | −0.0646566 | − | 0.366686i | −0.999919 | − | 0.0127306i | \(-0.995948\pi\) |
0.935262 | − | 0.353955i | \(-0.115163\pi\) | |||||||
\(860\) | −0.571564 | − | 3.24150i | −0.0194902 | − | 0.110534i | ||||
\(861\) | 0.852930 | + | 0.715693i | 0.0290678 | + | 0.0243908i | ||||
\(862\) | 57.8842 | − | 48.5706i | 1.97154 | − | 1.65432i | ||||
\(863\) | −5.58138 | + | 31.6536i | −0.189992 | + | 1.07750i | 0.729379 | + | 0.684110i | \(0.239809\pi\) |
−0.919371 | + | 0.393391i | \(0.871302\pi\) | |||||||
\(864\) | −1.23782 | −0.0421117 | ||||||||
\(865\) | −3.98452 | − | 22.5973i | −0.135478 | − | 0.768332i | ||||
\(866\) | −8.38065 | − | 3.05031i | −0.284786 | − | 0.103654i | ||||
\(867\) | 3.99570 | + | 22.6607i | 0.135701 | + | 0.769599i | ||||
\(868\) | 1.55145 | − | 2.68719i | 0.0526597 | − | 0.0912093i | ||||
\(869\) | −22.7621 | + | 19.0996i | −0.772150 | + | 0.647911i | ||||
\(870\) | −43.4651 | − | 75.2838i | −1.47360 | − | 2.55236i | ||||
\(871\) | −7.50314 | −0.254234 | ||||||||
\(872\) | 37.9617 | − | 33.2656i | 1.28555 | − | 1.12651i | ||||
\(873\) | −7.62600 | −0.258101 | ||||||||
\(874\) | −58.3194 | − | 101.012i | −1.97268 | − | 3.41679i | ||||
\(875\) | 0.473824 | − | 0.397586i | 0.0160182 | − | 0.0134408i | ||||
\(876\) | 4.54501 | − | 7.87219i | 0.153562 | − | 0.265977i | ||||
\(877\) | −2.84933 | − | 16.1593i | −0.0962149 | − | 0.545662i | −0.994368 | − | 0.105980i | \(-0.966202\pi\) |
0.898153 | − | 0.439682i | \(-0.144909\pi\) | |||||||
\(878\) | −27.3501 | − | 9.95463i | −0.923022 | − | 0.335953i | ||||
\(879\) | −1.95045 | − | 11.0616i | −0.0657871 | − | 0.373097i | ||||
\(880\) | −50.3839 | −1.69844 | ||||||||
\(881\) | 3.47666 | − | 19.7171i | 0.117132 | − | 0.664287i | −0.868541 | − | 0.495617i | \(-0.834942\pi\) |
0.985673 | − | 0.168669i | \(-0.0539470\pi\) | |||||||
\(882\) | 15.2249 | − | 12.7752i | 0.512649 | − | 0.430163i | ||||
\(883\) | −29.7887 | − | 24.9957i | −1.00247 | − | 0.841172i | −0.0151455 | − | 0.999885i | \(-0.504821\pi\) |
−0.987325 | + | 0.158713i | \(0.949266\pi\) | |||||||
\(884\) | −0.0866073 | − | 0.491174i | −0.00291292 | − | 0.0165200i | ||||
\(885\) | −1.16074 | − | 6.58290i | −0.0390179 | − | 0.221282i | ||||
\(886\) | −11.4243 | + | 9.58610i | −0.383806 | + | 0.322051i | ||||
\(887\) | 19.0619 | + | 15.9948i | 0.640034 | + | 0.537053i | 0.904029 | − | 0.427472i | \(-0.140596\pi\) |
−0.263994 | + | 0.964524i | \(0.585040\pi\) | |||||||
\(888\) | 33.5404 | + | 58.0936i | 1.12554 | + | 1.94949i | ||||
\(889\) | −0.668913 | − | 1.15859i | −0.0224346 | − | 0.0388579i | ||||
\(890\) | 16.5550 | − | 6.02551i | 0.554923 | − | 0.201976i | ||||
\(891\) | −8.13735 | − | 14.0943i | −0.272611 | − | 0.472177i | ||||
\(892\) | 3.07758 | + | 1.12015i | 0.103045 | + | 0.0375053i | ||||
\(893\) | 53.9586 | + | 45.2766i | 1.80565 | + | 1.51512i | ||||
\(894\) | −8.34955 | + | 47.3526i | −0.279251 | + | 1.58371i | ||||
\(895\) | 15.1597 | − | 26.2574i | 0.506733 | − | 0.877688i | ||||
\(896\) | −2.93206 | + | 2.46029i | −0.0979533 | + | 0.0821926i | ||||
\(897\) | −24.9555 | + | 9.08305i | −0.833239 | + | 0.303274i | ||||
\(898\) | −33.0804 | + | 27.7577i | −1.10391 | + | 0.926288i | ||||
\(899\) | −15.9833 | − | 27.6839i | −0.533073 | − | 0.923309i | ||||
\(900\) | 26.0298 | + | 9.47406i | 0.867659 | + | 0.315802i | ||||
\(901\) | −0.251018 | + | 0.210629i | −0.00836261 | + | 0.00701706i | ||||
\(902\) | 7.10121 | − | 40.2730i | 0.236445 | − | 1.34094i | ||||
\(903\) | 0.0113720 | − | 0.0644939i | 0.000378437 | − | 0.00214622i | ||||
\(904\) | 11.3620 | − | 19.6796i | 0.377896 | − | 0.654535i | ||||
\(905\) | 27.5769 | 0.916688 | ||||||||
\(906\) | −27.5131 | + | 47.6541i | −0.914061 | + | 1.58320i | ||||
\(907\) | −17.0921 | + | 6.22100i | −0.567532 | + | 0.206565i | −0.609819 | − | 0.792541i | \(-0.708758\pi\) |
0.0422868 | + | 0.999106i | \(0.486536\pi\) | |||||||
\(908\) | 1.50155 | + | 1.25995i | 0.0498306 | + | 0.0418128i | ||||
\(909\) | −1.92025 | + | 10.8903i | −0.0636907 | + | 0.361208i | ||||
\(910\) | −2.40732 | + | 4.16959i | −0.0798017 | + | 0.138221i | ||||
\(911\) | 25.1520 | + | 21.1050i | 0.833322 | + | 0.699240i | 0.956051 | − | 0.293200i | \(-0.0947202\pi\) |
−0.122729 | + | 0.992440i | \(0.539165\pi\) | |||||||
\(912\) | 6.78752 | + | 38.4939i | 0.224757 | + | 1.27466i | ||||
\(913\) | 10.1342 | 0.335394 | ||||||||
\(914\) | 3.17004 | − | 17.9782i | 0.104855 | − | 0.594665i | ||||
\(915\) | −27.3499 | − | 47.3714i | −0.904160 | − | 1.56605i | ||||
\(916\) | −16.6140 | + | 6.04699i | −0.548941 | + | 0.199798i | ||||
\(917\) | −0.370893 | −0.0122480 | ||||||||
\(918\) | −0.562984 | −0.0185812 | ||||||||
\(919\) | 18.2394 | − | 6.63859i | 0.601662 | − | 0.218987i | −0.0231890 | − | 0.999731i | \(-0.507382\pi\) |
0.624851 | + | 0.780744i | \(0.285160\pi\) | |||||||
\(920\) | 96.0669 | + | 34.9655i | 3.16723 | + | 1.15278i | ||||
\(921\) | −9.52252 | + | 3.46591i | −0.313778 | + | 0.114206i | ||||
\(922\) | −60.2845 | − | 50.5847i | −1.98536 | − | 1.66592i | ||||
\(923\) | 11.4939 | + | 4.18345i | 0.378327 | + | 0.137700i | ||||
\(924\) | −3.85560 | − | 1.40333i | −0.126840 | − | 0.0461660i | ||||
\(925\) | 10.6169 | + | 60.2114i | 0.349081 | + | 1.97974i | ||||
\(926\) | −17.5435 | + | 30.3862i | −0.576515 | + | 0.998553i | ||||
\(927\) | 9.84092 | − | 17.0450i | 0.323218 | − | 0.559831i | ||||
\(928\) | 0.302222 | + | 1.71399i | 0.00992094 | + | 0.0562644i | ||||
\(929\) | 31.7989 | + | 11.5738i | 1.04329 | + | 0.379725i | 0.806125 | − | 0.591745i | \(-0.201561\pi\) |
0.237162 | + | 0.971470i | \(0.423783\pi\) | |||||||
\(930\) | −41.5016 | − | 15.1053i | −1.36089 | − | 0.495323i | ||||
\(931\) | 39.8457 | + | 33.4345i | 1.30589 | + | 1.09577i | ||||
\(932\) | −85.8054 | + | 31.2306i | −2.81065 | + | 1.02299i | ||||
\(933\) | −15.5896 | − | 5.67416i | −0.510381 | − | 0.185764i | ||||
\(934\) | 51.6581 | − | 18.8020i | 1.69031 | − | 0.615221i | ||||
\(935\) | 0.532070 | 0.0174005 | ||||||||
\(936\) | −17.3411 | −0.566810 | ||||||||
\(937\) | 17.6594 | − | 6.42750i | 0.576907 | − | 0.209977i | −0.0370539 | − | 0.999313i | \(-0.511797\pi\) |
0.613961 | + | 0.789336i | \(0.289575\pi\) | |||||||
\(938\) | 0.577955 | + | 1.00105i | 0.0188709 | + | 0.0326854i | ||||
\(939\) | −1.74535 | + | 9.89837i | −0.0569573 | + | 0.323021i | ||||
\(940\) | −124.180 | −4.05031 | ||||||||
\(941\) | −6.34918 | − | 36.0080i | −0.206977 | − | 1.17383i | −0.894298 | − | 0.447472i | \(-0.852324\pi\) |
0.687320 | − | 0.726354i | \(-0.258787\pi\) | |||||||
\(942\) | −20.4845 | − | 17.1886i | −0.667422 | − | 0.560034i | ||||
\(943\) | −13.5667 | + | 23.4983i | −0.441794 | + | 0.765209i | ||||
\(944\) | 1.00088 | − | 5.67626i | 0.0325758 | − | 0.184746i | ||||
\(945\) | 2.77024 | + | 2.32450i | 0.0901158 | + | 0.0756161i | ||||
\(946\) | −2.26025 | + | 0.822662i | −0.0734869 | + | 0.0267471i | ||||
\(947\) | 15.8364 | − | 27.4295i | 0.514614 | − | 0.891338i | −0.485242 | − | 0.874380i | \(-0.661268\pi\) |
0.999856 | − | 0.0169582i | \(-0.00539822\pi\) | |||||||
\(948\) | −40.6399 | −1.31992 | ||||||||
\(949\) | −2.59331 | + | 4.49175i | −0.0841825 | + | 0.145808i | ||||
\(950\) | −18.9188 | + | 107.294i | −0.613808 | + | 3.48108i | ||||
\(951\) | −1.41608 | + | 8.03102i | −0.0459197 | + | 0.260424i | ||||
\(952\) | −0.0292630 | + | 0.0245545i | −0.000948418 | + | 0.000795817i | ||||
\(953\) | −39.8086 | − | 14.4891i | −1.28953 | − | 0.469349i | −0.395955 | − | 0.918270i | \(-0.629586\pi\) |
−0.893572 | + | 0.448921i | \(0.851809\pi\) | |||||||
\(954\) | 11.4581 | + | 19.8460i | 0.370969 | + | 0.642538i | ||||
\(955\) | 20.1464 | − | 16.9048i | 0.651922 | − | 0.547028i | ||||
\(956\) | 14.3223 | − | 5.21288i | 0.463215 | − | 0.168597i | ||||
\(957\) | −32.3809 | + | 27.1708i | −1.04672 | + | 0.878307i | ||||
\(958\) | 4.56016 | − | 7.89843i | 0.147332 | − | 0.255187i | ||||
\(959\) | −0.184860 | + | 1.04839i | −0.00596943 | + | 0.0338543i | ||||
\(960\) | 28.3860 | + | 23.8187i | 0.916156 | + | 0.768746i | ||||
\(961\) | 13.8692 | + | 5.04798i | 0.447394 | + | 0.162838i | ||||
\(962\) | −38.4936 | − | 66.6729i | −1.24108 | − | 2.14962i | ||||
\(963\) | −13.1691 | + | 4.79316i | −0.424368 | + | 0.154457i | ||||
\(964\) | −50.1476 | − | 86.8581i | −1.61514 | − | 2.79751i | ||||
\(965\) | 26.6877 | + | 46.2245i | 0.859109 | + | 1.48802i | ||||
\(966\) | 3.13412 | + | 2.62984i | 0.100839 | + | 0.0846136i | ||||
\(967\) | 7.92103 | − | 6.64653i | 0.254723 | − | 0.213738i | −0.506480 | − | 0.862252i | \(-0.669054\pi\) |
0.761203 | + | 0.648514i | \(0.224609\pi\) | |||||||
\(968\) | 3.77535 | + | 21.4111i | 0.121344 | + | 0.688178i | ||||
\(969\) | −0.0716784 | − | 0.406508i | −0.00230264 | − | 0.0130589i | ||||
\(970\) | 40.5075 | + | 33.9898i | 1.30062 | + | 1.09135i | ||||
\(971\) | 10.4020 | − | 8.72828i | 0.333815 | − | 0.280104i | −0.460437 | − | 0.887692i | \(-0.652307\pi\) |
0.794252 | + | 0.607588i | \(0.207863\pi\) | |||||||
\(972\) | −7.82413 | + | 44.3728i | −0.250959 | + | 1.42326i | ||||
\(973\) | 0.0248808 | 0.000797643 | ||||||||
\(974\) | 2.41113 | + | 13.6742i | 0.0772577 | + | 0.438150i | ||||
\(975\) | 23.3102 | + | 8.48423i | 0.746525 | + | 0.271713i | ||||
\(976\) | −8.19033 | − | 46.4497i | −0.262166 | − | 1.48682i | ||||
\(977\) | −14.2663 | + | 24.7100i | −0.456420 | + | 0.790543i | −0.998769 | − | 0.0496106i | \(-0.984202\pi\) |
0.542348 | + | 0.840154i | \(0.317535\pi\) | |||||||
\(978\) | −0.408579 | + | 0.342838i | −0.0130649 | + | 0.0109628i | ||||
\(979\) | −4.28328 | − | 7.41885i | −0.136894 | − | 0.237108i | ||||
\(980\) | −91.7008 | −2.92927 | ||||||||
\(981\) | 6.31960 | + | 10.4235i | 0.201769 | + | 0.332796i | ||||
\(982\) | −48.5049 | −1.54785 | ||||||||
\(983\) | −10.1305 | − | 17.5465i | −0.323112 | − | 0.559647i | 0.658016 | − | 0.753004i | \(-0.271396\pi\) |
−0.981129 | + | 0.193357i | \(0.938063\pi\) | |||||||
\(984\) | 21.3015 | − | 17.8741i | 0.679068 | − | 0.569805i | ||||
\(985\) | 5.32113 | − | 9.21647i | 0.169545 | − | 0.293661i | ||||
\(986\) | 0.137456 | + | 0.779551i | 0.00437749 | + | 0.0248260i | ||||
\(987\) | −2.32172 | − | 0.845038i | −0.0739012 | − | 0.0268979i | ||||
\(988\) | −15.8516 | − | 89.8990i | −0.504307 | − | 2.86007i | ||||
\(989\) | 1.59593 | 0.0507475 | ||||||||
\(990\) | 6.46146 | − | 36.6448i | 0.205359 | − | 1.16465i | ||||
\(991\) | 5.69442 | − | 4.77819i | 0.180889 | − | 0.151784i | −0.547847 | − | 0.836578i | \(-0.684552\pi\) |
0.728736 | + | 0.684794i | \(0.240108\pi\) | |||||||
\(992\) | 0.677358 | + | 0.568371i | 0.0215061 | + | 0.0180458i | ||||
\(993\) | −2.12631 | − | 12.0589i | −0.0674763 | − | 0.382677i | ||||
\(994\) | −0.327215 | − | 1.85573i | −0.0103786 | − | 0.0588602i | ||||
\(995\) | 60.4905 | − | 50.7576i | 1.91768 | − | 1.60912i | ||||
\(996\) | 10.6179 | + | 8.90948i | 0.336441 | + | 0.282308i | ||||
\(997\) | −24.9301 | − | 43.1801i | −0.789543 | − | 1.36753i | −0.926247 | − | 0.376917i | \(-0.876984\pi\) |
0.136704 | − | 0.990612i | \(-0.456349\pi\) | |||||||
\(998\) | 9.21465 | + | 15.9602i | 0.291685 | + | 0.505213i | ||||
\(999\) | −54.3381 | + | 19.7774i | −1.71918 | + | 0.625731i |
(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 | 109.2.f.a.16.1 | ✓ | 42 | |
3.2 | odd | 2 | 981.2.w.a.343.7 | 42 | |||
109.75 | even | 9 | inner | 109.2.f.a.75.1 | yes | 42 | |
327.293 | odd | 18 | 981.2.w.a.838.7 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
109.2.f.a.16.1 | ✓ | 42 | 1.1 | even | 1 | trivial | |
109.2.f.a.75.1 | yes | 42 | 109.75 | even | 9 | inner | |
981.2.w.a.343.7 | 42 | 3.2 | odd | 2 | |||
981.2.w.a.838.7 | 42 | 327.293 | odd | 18 |