Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (of order \(18\), 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: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 14.1 | ||
Character | \(\chi\) | \(=\) | 171.14 |
Dual form | 171.2.x.a.110.1 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.02450 | − | 1.69876i | −1.43154 | − | 1.20120i | −0.944796 | − | 0.327659i | \(-0.893740\pi\) |
−0.486743 | − | 0.873545i | \(-0.661815\pi\) | |||||||
\(3\) | 1.43995 | + | 0.962572i | 0.831356 | + | 0.555741i | ||||
\(4\) | 0.865531 | + | 4.90867i | 0.432765 | + | 2.45433i | ||||
\(5\) | −0.259455 | − | 0.712848i | −0.116032 | − | 0.318795i | 0.868059 | − | 0.496461i | \(-0.165368\pi\) |
−0.984091 | + | 0.177666i | \(0.943145\pi\) | |||||||
\(6\) | −1.28000 | − | 4.39486i | −0.522560 | − | 1.79419i | ||||
\(7\) | −1.63029 | + | 2.82374i | −0.616191 | + | 1.06727i | 0.373983 | + | 0.927436i | \(0.377992\pi\) |
−0.990174 | + | 0.139839i | \(0.955342\pi\) | |||||||
\(8\) | 3.94358 | − | 6.83047i | 1.39426 | − | 2.41494i | ||||
\(9\) | 1.14691 | + | 2.77211i | 0.382304 | + | 0.924037i | ||||
\(10\) | −0.685689 | + | 1.88391i | −0.216834 | + | 0.595746i | ||||
\(11\) | 6.35073i | 1.91482i | 0.288734 | + | 0.957409i | \(0.406766\pi\) | ||||
−0.288734 | + | 0.957409i | \(0.593234\pi\) | |||||||
\(12\) | −3.47862 | + | 7.90137i | −1.00419 | + | 2.28093i | ||||
\(13\) | 0.295627 | − | 0.812229i | 0.0819923 | − | 0.225272i | −0.891922 | − | 0.452190i | \(-0.850643\pi\) |
0.973914 | + | 0.226918i | \(0.0728650\pi\) | |||||||
\(14\) | 8.09738 | − | 2.94721i | 2.16412 | − | 0.787674i | ||||
\(15\) | 0.312564 | − | 1.27621i | 0.0807038 | − | 0.329516i | ||||
\(16\) | −10.2195 | + | 3.71960i | −2.55488 | + | 0.929900i | ||||
\(17\) | −0.818892 | − | 2.24989i | −0.198610 | − | 0.545678i | 0.799906 | − | 0.600125i | \(-0.204883\pi\) |
−0.998517 | + | 0.0544473i | \(0.982660\pi\) | |||||||
\(18\) | 2.38722 | − | 7.56047i | 0.562673 | − | 1.78202i | ||||
\(19\) | 4.31029 | − | 0.649145i | 0.988849 | − | 0.148924i | ||||
\(20\) | 3.27457 | − | 1.89057i | 0.732216 | − | 0.422745i | ||||
\(21\) | −5.06559 | + | 2.49678i | −1.10540 | + | 0.544842i | ||||
\(22\) | 10.7884 | − | 12.8571i | 2.30009 | − | 2.74114i | ||||
\(23\) | 0.245272 | − | 0.0432481i | 0.0511428 | − | 0.00901786i | −0.148018 | − | 0.988985i | \(-0.547289\pi\) |
0.199161 | + | 0.979967i | \(0.436178\pi\) | |||||||
\(24\) | 12.2534 | − | 6.03957i | 2.50121 | − | 1.23282i | ||||
\(25\) | 3.38939 | − | 2.84403i | 0.677877 | − | 0.568807i | ||||
\(26\) | −1.97828 | + | 1.14216i | −0.387973 | + | 0.223996i | ||||
\(27\) | −1.01686 | + | 5.09568i | −0.195694 | + | 0.980665i | ||||
\(28\) | −15.2719 | − | 5.55851i | −2.88611 | − | 1.05046i | ||||
\(29\) | −0.803768 | − | 4.55839i | −0.149256 | − | 0.846473i | −0.963851 | − | 0.266442i | \(-0.914152\pi\) |
0.814595 | − | 0.580030i | \(-0.196959\pi\) | |||||||
\(30\) | −2.80076 | + | 2.05272i | −0.511347 | + | 0.374773i | ||||
\(31\) | 1.49225i | 0.268015i | 0.990980 | + | 0.134008i | \(0.0427847\pi\) | ||||
−0.990980 | + | 0.134008i | \(0.957215\pi\) | |||||||
\(32\) | 12.1851 | + | 4.43503i | 2.15405 | + | 0.784009i | ||||
\(33\) | −6.11304 | + | 9.14474i | −1.06414 | + | 1.59189i | ||||
\(34\) | −2.16417 | + | 5.94600i | −0.371152 | + | 1.01973i | ||||
\(35\) | 2.43589 | + | 0.429513i | 0.411740 | + | 0.0726009i | ||||
\(36\) | −12.6147 | + | 8.02916i | −2.10245 | + | 1.33819i | ||||
\(37\) | 4.34331i | 0.714035i | 0.934098 | + | 0.357017i | \(0.116206\pi\) | ||||
−0.934098 | + | 0.357017i | \(0.883794\pi\) | |||||||
\(38\) | −9.82894 | − | 6.00795i | −1.59446 | − | 0.974618i | ||||
\(39\) | 1.20752 | − | 0.885007i | 0.193358 | − | 0.141715i | ||||
\(40\) | −5.89227 | − | 1.03897i | −0.931650 | − | 0.164275i | ||||
\(41\) | 1.48330 | + | 1.24464i | 0.231653 | + | 0.194380i | 0.751224 | − | 0.660048i | \(-0.229464\pi\) |
−0.519571 | + | 0.854427i | \(0.673908\pi\) | |||||||
\(42\) | 14.4967 | + | 3.55048i | 2.23689 | + | 0.547851i | ||||
\(43\) | 0.639011 | − | 3.62401i | 0.0974482 | − | 0.552656i | −0.896521 | − | 0.443000i | \(-0.853914\pi\) |
0.993970 | − | 0.109656i | \(-0.0349749\pi\) | |||||||
\(44\) | −31.1736 | + | 5.49675i | −4.69960 | + | 0.828667i | ||||
\(45\) | 1.67852 | − | 1.53681i | 0.250219 | − | 0.229095i | ||||
\(46\) | −0.570023 | − | 0.329103i | −0.0840452 | − | 0.0485235i | ||||
\(47\) | −7.25185 | + | 1.27870i | −1.05779 | + | 0.186517i | −0.675376 | − | 0.737474i | \(-0.736019\pi\) |
−0.382415 | + | 0.923991i | \(0.624907\pi\) | |||||||
\(48\) | −18.2960 | − | 4.48098i | −2.64080 | − | 0.646773i | ||||
\(49\) | −1.81568 | − | 3.14486i | −0.259383 | − | 0.449265i | ||||
\(50\) | −11.6931 | −1.65366 | ||||||||
\(51\) | 0.986514 | − | 4.02797i | 0.138140 | − | 0.564028i | ||||
\(52\) | 4.24284 | + | 0.748127i | 0.588376 | + | 0.103747i | ||||
\(53\) | 7.32359 | − | 6.14522i | 1.00597 | − | 0.844111i | 0.0181718 | − | 0.999835i | \(-0.494215\pi\) |
0.987801 | + | 0.155724i | \(0.0497710\pi\) | |||||||
\(54\) | 10.7150 | − | 8.58883i | 1.45812 | − | 1.16879i | ||||
\(55\) | 4.52711 | − | 1.64773i | 0.610435 | − | 0.222180i | ||||
\(56\) | 12.8583 | + | 22.2713i | 1.71827 | + | 2.97613i | ||||
\(57\) | 6.83145 | + | 3.21423i | 0.904848 | + | 0.425735i | ||||
\(58\) | −6.11638 | + | 10.5939i | −0.803121 | + | 1.39105i | ||||
\(59\) | −0.645657 | + | 3.66171i | −0.0840574 | + | 0.476713i | 0.913499 | + | 0.406842i | \(0.133370\pi\) |
−0.997556 | + | 0.0698715i | \(0.977741\pi\) | |||||||
\(60\) | 6.53502 | + | 0.429676i | 0.843668 | + | 0.0554709i | ||||
\(61\) | −5.85826 | − | 2.13223i | −0.750073 | − | 0.273004i | −0.0614365 | − | 0.998111i | \(-0.519568\pi\) |
−0.688636 | + | 0.725107i | \(0.741790\pi\) | |||||||
\(62\) | 2.53497 | − | 3.02106i | 0.321941 | − | 0.383675i | ||||
\(63\) | −9.69752 | − | 1.28075i | −1.22177 | − | 0.161360i | ||||
\(64\) | −6.25941 | − | 10.8416i | −0.782426 | − | 1.35520i | ||||
\(65\) | −0.655698 | −0.0813293 | ||||||||
\(66\) | 27.9106 | − | 8.12897i | 3.43555 | − | 1.00061i | ||||
\(67\) | −1.22085 | − | 1.45495i | −0.149151 | − | 0.177751i | 0.686296 | − | 0.727322i | \(-0.259235\pi\) |
−0.835447 | + | 0.549571i | \(0.814791\pi\) | |||||||
\(68\) | 10.3352 | − | 5.96701i | 1.25332 | − | 0.723607i | ||||
\(69\) | 0.394809 | + | 0.173817i | 0.0475295 | + | 0.0209251i | ||||
\(70\) | −4.20182 | − | 5.00753i | −0.502214 | − | 0.598515i | ||||
\(71\) | −0.638887 | − | 0.536090i | −0.0758220 | − | 0.0636222i | 0.604089 | − | 0.796917i | \(-0.293537\pi\) |
−0.679911 | + | 0.733295i | \(0.737982\pi\) | |||||||
\(72\) | 23.4578 | + | 3.09807i | 2.76452 | + | 0.365111i | ||||
\(73\) | 1.84550 | − | 10.4663i | 0.215999 | − | 1.22499i | −0.663166 | − | 0.748472i | \(-0.730788\pi\) |
0.879165 | − | 0.476518i | \(-0.158101\pi\) | |||||||
\(74\) | 7.37823 | − | 8.79303i | 0.857702 | − | 1.02217i | ||||
\(75\) | 7.61813 | − | 0.832739i | 0.879666 | − | 0.0961564i | ||||
\(76\) | 6.91713 | + | 20.5959i | 0.793449 | + | 2.36252i | ||||
\(77\) | −17.9328 | − | 10.3535i | −2.04364 | − | 1.17989i | ||||
\(78\) | −3.94804 | − | 0.259582i | −0.447027 | − | 0.0293919i | ||||
\(79\) | −4.52777 | − | 12.4400i | −0.509414 | − | 1.39960i | −0.881843 | − | 0.471543i | \(-0.843697\pi\) |
0.372429 | − | 0.928061i | \(-0.378525\pi\) | |||||||
\(80\) | 5.30302 | + | 6.31989i | 0.592895 | + | 0.706585i | ||||
\(81\) | −6.36918 | + | 6.35873i | −0.707687 | + | 0.706526i | ||||
\(82\) | −0.888607 | − | 5.03954i | −0.0981302 | − | 0.556524i | ||||
\(83\) | 6.20911 | + | 3.58483i | 0.681538 | + | 0.393486i | 0.800434 | − | 0.599420i | \(-0.204602\pi\) |
−0.118896 | + | 0.992907i | \(0.537936\pi\) | |||||||
\(84\) | −16.6403 | − | 22.7043i | −1.81560 | − | 2.47724i | ||||
\(85\) | −1.39136 | + | 1.16749i | −0.150914 | + | 0.126632i | ||||
\(86\) | −7.45000 | + | 6.25129i | −0.803354 | + | 0.674094i | ||||
\(87\) | 3.23039 | − | 7.33754i | 0.346335 | − | 0.786667i | ||||
\(88\) | 43.3785 | + | 25.0446i | 4.62417 | + | 2.66976i | ||||
\(89\) | 2.93290 | + | 16.6333i | 0.310886 | + | 1.76312i | 0.594413 | + | 0.804160i | \(0.297384\pi\) |
−0.283527 | + | 0.958964i | \(0.591504\pi\) | |||||||
\(90\) | −6.00884 | + | 0.259880i | −0.633388 | + | 0.0273938i | ||||
\(91\) | 1.81157 | + | 2.15894i | 0.189904 | + | 0.226319i | ||||
\(92\) | 0.424581 | + | 1.16653i | 0.0442657 | + | 0.121619i | ||||
\(93\) | −1.43639 | + | 2.14876i | −0.148947 | + | 0.222816i | ||||
\(94\) | 16.8536 | + | 9.73042i | 1.73831 | + | 1.00362i | ||||
\(95\) | −1.58107 | − | 2.90416i | −0.162214 | − | 0.297960i | ||||
\(96\) | 13.2770 | + | 18.1153i | 1.35507 | + | 1.84888i | ||||
\(97\) | 7.16659 | − | 8.54081i | 0.727657 | − | 0.867188i | −0.267694 | − | 0.963504i | \(-0.586262\pi\) |
0.995351 | + | 0.0963164i | \(0.0307061\pi\) | |||||||
\(98\) | −1.66650 | + | 9.45118i | −0.168342 | + | 0.954713i | ||||
\(99\) | −17.6049 | + | 7.28373i | −1.76936 | + | 0.732043i | ||||
\(100\) | 16.8940 | + | 14.1758i | 1.68940 | + | 1.41758i | ||||
\(101\) | 3.47382 | + | 4.13993i | 0.345658 | + | 0.411939i | 0.910664 | − | 0.413148i | \(-0.135571\pi\) |
−0.565006 | + | 0.825087i | \(0.691126\pi\) | |||||||
\(102\) | −8.83974 | + | 6.47878i | −0.875265 | + | 0.641495i | ||||
\(103\) | 10.1146 | − | 5.83968i | 0.996623 | − | 0.575401i | 0.0893757 | − | 0.995998i | \(-0.471513\pi\) |
0.907247 | + | 0.420597i | \(0.138179\pi\) | |||||||
\(104\) | −4.38208 | − | 5.22236i | −0.429698 | − | 0.512095i | ||||
\(105\) | 3.09412 | + | 2.96319i | 0.301955 | + | 0.289178i | ||||
\(106\) | −25.2659 | −2.45404 | ||||||||
\(107\) | −4.78301 | − | 8.28441i | −0.462391 | − | 0.800884i | 0.536689 | − | 0.843780i | \(-0.319675\pi\) |
−0.999080 | + | 0.0428960i | \(0.986342\pi\) | |||||||
\(108\) | −25.8931 | − | 0.580945i | −2.49157 | − | 0.0559015i | ||||
\(109\) | −3.37261 | + | 4.01931i | −0.323037 | + | 0.384980i | −0.902984 | − | 0.429673i | \(-0.858629\pi\) |
0.579947 | + | 0.814654i | \(0.303073\pi\) | |||||||
\(110\) | −11.9642 | − | 4.35463i | −1.14075 | − | 0.415197i | ||||
\(111\) | −4.18074 | + | 6.25414i | −0.396818 | + | 0.593617i | ||||
\(112\) | 6.15757 | − | 34.9213i | 0.581835 | − | 3.29975i | ||||
\(113\) | 4.97218 | − | 8.61206i | 0.467743 | − | 0.810155i | −0.531578 | − | 0.847010i | \(-0.678401\pi\) |
0.999321 | + | 0.0368549i | \(0.0117339\pi\) | |||||||
\(114\) | −8.37009 | − | 18.1122i | −0.783931 | − | 1.69636i | ||||
\(115\) | −0.0944666 | − | 0.163621i | −0.00880905 | − | 0.0152577i | ||||
\(116\) | 21.6800 | − | 7.89086i | 2.01293 | − | 0.732648i | ||||
\(117\) | 2.59065 | − | 0.112044i | 0.239505 | − | 0.0103585i | ||||
\(118\) | 7.52749 | − | 6.31631i | 0.692962 | − | 0.581464i | ||||
\(119\) | 7.68813 | + | 1.35563i | 0.704770 | + | 0.124270i | ||||
\(120\) | −7.48450 | − | 7.16779i | −0.683238 | − | 0.654327i | ||||
\(121\) | −29.3318 | −2.66653 | ||||||||
\(122\) | 8.23791 | + | 14.2685i | 0.745825 | + | 1.29181i | ||||
\(123\) | 0.937826 | + | 3.22000i | 0.0845610 | + | 0.290337i | ||||
\(124\) | −7.32494 | + | 1.29158i | −0.657799 | + | 0.115988i | ||||
\(125\) | −6.19158 | − | 3.57471i | −0.553792 | − | 0.319732i | ||||
\(126\) | 17.4570 | + | 19.0666i | 1.55519 | + | 1.69859i | ||||
\(127\) | 11.0562 | − | 1.94951i | 0.981082 | − | 0.172991i | 0.339968 | − | 0.940437i | \(-0.389584\pi\) |
0.641114 | + | 0.767446i | \(0.278473\pi\) | |||||||
\(128\) | −1.24166 | + | 7.04181i | −0.109748 | + | 0.622414i | ||||
\(129\) | 4.40851 | − | 4.60330i | 0.388148 | − | 0.405298i | ||||
\(130\) | 1.32746 | + | 1.11387i | 0.116426 | + | 0.0976931i | ||||
\(131\) | 13.6658 | + | 2.40966i | 1.19399 | + | 0.210533i | 0.735099 | − | 0.677960i | \(-0.237136\pi\) |
0.458891 | + | 0.888493i | \(0.348247\pi\) | |||||||
\(132\) | −50.1795 | − | 22.0918i | −4.36757 | − | 1.92285i | ||||
\(133\) | −5.19400 | + | 13.2294i | −0.450377 | + | 1.14714i | ||||
\(134\) | 5.01949i | 0.433618i | ||||||||
\(135\) | 3.89628 | − | 0.597238i | 0.335338 | − | 0.0514021i | ||||
\(136\) | −18.5972 | − | 3.27918i | −1.59469 | − | 0.281187i | ||||
\(137\) | 0.340121 | − | 0.934475i | 0.0290585 | − | 0.0798376i | −0.924315 | − | 0.381630i | \(-0.875363\pi\) |
0.953374 | + | 0.301793i | \(0.0975850\pi\) | |||||||
\(138\) | −0.504019 | − | 1.02258i | −0.0429050 | − | 0.0870477i | ||||
\(139\) | 9.56750 | + | 3.48228i | 0.811504 | + | 0.295363i | 0.714245 | − | 0.699896i | \(-0.246770\pi\) |
0.0972593 | + | 0.995259i | \(0.468992\pi\) | |||||||
\(140\) | 12.3287i | 1.04197i | ||||||||
\(141\) | −11.6731 | − | 5.13916i | −0.983055 | − | 0.432796i | ||||
\(142\) | 0.382741 | + | 2.17063i | 0.0321189 | + | 0.182155i | ||||
\(143\) | 5.15825 | + | 1.87745i | 0.431355 | + | 0.157000i | ||||
\(144\) | −22.0320 | − | 24.0636i | −1.83600 | − | 2.00530i | ||||
\(145\) | −3.04090 | + | 1.75566i | −0.252533 | + | 0.145800i | ||||
\(146\) | −21.5160 | + | 18.0540i | −1.78067 | + | 1.49416i | ||||
\(147\) | 0.412655 | − | 6.27616i | 0.0340352 | − | 0.517649i | ||||
\(148\) | −21.3198 | + | 3.75926i | −1.75248 | + | 0.309010i | ||||
\(149\) | 13.5782 | − | 16.1819i | 1.11237 | − | 1.32567i | 0.172164 | − | 0.985068i | \(-0.444924\pi\) |
0.940207 | − | 0.340604i | \(-0.110632\pi\) | |||||||
\(150\) | −16.8376 | − | 11.2555i | −1.37478 | − | 0.919007i | ||||
\(151\) | 6.03093 | − | 3.48196i | 0.490790 | − | 0.283358i | −0.234112 | − | 0.972210i | \(-0.575218\pi\) |
0.724902 | + | 0.688852i | \(0.241885\pi\) | |||||||
\(152\) | 12.5640 | − | 32.0013i | 1.01907 | − | 2.59565i | ||||
\(153\) | 5.29774 | − | 4.85048i | 0.428297 | − | 0.392138i | ||||
\(154\) | 18.7169 | + | 51.4243i | 1.50825 | + | 4.14389i | ||||
\(155\) | 1.06374 | − | 0.387172i | 0.0854421 | − | 0.0310984i | ||||
\(156\) | 5.38935 | + | 5.16130i | 0.431493 | + | 0.413235i | ||||
\(157\) | −14.8903 | + | 5.41962i | −1.18837 | + | 0.432533i | −0.859152 | − | 0.511720i | \(-0.829008\pi\) |
−0.329221 | + | 0.944253i | \(0.606786\pi\) | |||||||
\(158\) | −11.9660 | + | 32.8763i | −0.951964 | + | 2.61550i | ||||
\(159\) | 16.4608 | − | 1.79933i | 1.30543 | − | 0.142696i | ||||
\(160\) | − | 9.83684i | − | 0.777670i | ||||||
\(161\) | −0.277743 | + | 0.763093i | −0.0218892 | + | 0.0601402i | ||||
\(162\) | 23.6964 | − | 2.05356i | 1.86176 | − | 0.161343i | ||||
\(163\) | 0.484740 | − | 0.839594i | 0.0379678 | − | 0.0657621i | −0.846417 | − | 0.532521i | \(-0.821245\pi\) |
0.884385 | + | 0.466758i | \(0.154578\pi\) | |||||||
\(164\) | −4.82567 | + | 8.35830i | −0.376821 | + | 0.652673i | ||||
\(165\) | 8.10487 | + | 1.98501i | 0.630963 | + | 0.154533i | ||||
\(166\) | −6.48059 | − | 17.8053i | −0.502991 | − | 1.38196i | ||||
\(167\) | 1.36206 | + | 7.72464i | 0.105400 | + | 0.597751i | 0.991060 | + | 0.133417i | \(0.0425950\pi\) |
−0.885660 | + | 0.464334i | \(0.846294\pi\) | |||||||
\(168\) | −2.92235 | + | 44.4466i | −0.225464 | + | 3.42913i | ||||
\(169\) | 9.38626 | + | 7.87600i | 0.722020 | + | 0.605847i | ||||
\(170\) | 4.80010 | 0.368151 | ||||||||
\(171\) | 6.74303 | + | 11.2041i | 0.515652 | + | 0.856798i | ||||
\(172\) | 18.3421 | 1.39857 | ||||||||
\(173\) | 2.32775 | + | 1.95321i | 0.176975 | + | 0.148500i | 0.726973 | − | 0.686667i | \(-0.240927\pi\) |
−0.549997 | + | 0.835167i | \(0.685371\pi\) | |||||||
\(174\) | −19.0047 | + | 9.36721i | −1.44074 | + | 0.710126i | ||||
\(175\) | 2.50514 | + | 14.2074i | 0.189371 | + | 1.07398i | ||||
\(176\) | −23.6222 | − | 64.9014i | −1.78059 | − | 4.89213i | ||||
\(177\) | −4.45437 | + | 4.65118i | −0.334811 | + | 0.349604i | ||||
\(178\) | 22.3183 | − | 38.6564i | 1.67283 | − | 2.89742i | ||||
\(179\) | −1.02579 | + | 1.77672i | −0.0766712 | + | 0.132798i | −0.901812 | − | 0.432129i | \(-0.857763\pi\) |
0.825141 | + | 0.564927i | \(0.191096\pi\) | |||||||
\(180\) | 8.99652 | + | 6.90914i | 0.670561 | + | 0.514977i | ||||
\(181\) | −0.313953 | + | 0.862578i | −0.0233359 | + | 0.0641149i | −0.950814 | − | 0.309764i | \(-0.899750\pi\) |
0.927478 | + | 0.373879i | \(0.121972\pi\) | |||||||
\(182\) | − | 7.44821i | − | 0.552098i | ||||||
\(183\) | −6.38317 | − | 8.70930i | −0.471858 | − | 0.643810i | ||||
\(184\) | 0.671845 | − | 1.84588i | 0.0495291 | − | 0.136080i | ||||
\(185\) | 3.09612 | − | 1.12689i | 0.227631 | − | 0.0828509i | ||||
\(186\) | 6.55821 | − | 1.91008i | 0.480871 | − | 0.140054i | ||||
\(187\) | 14.2884 | − | 5.20056i | 1.04487 | − | 0.380303i | ||||
\(188\) | −12.5534 | − | 34.4902i | −0.915550 | − | 2.51545i | ||||
\(189\) | −12.7311 | − | 11.1788i | −0.926054 | − | 0.813137i | ||||
\(190\) | −1.73258 | + | 8.56533i | −0.125695 | + | 0.621395i | ||||
\(191\) | 13.9129 | − | 8.03263i | 1.00670 | − | 0.581221i | 0.0964794 | − | 0.995335i | \(-0.469242\pi\) |
0.910225 | + | 0.414114i | \(0.135908\pi\) | |||||||
\(192\) | 1.42259 | − | 21.6365i | 0.102667 | − | 1.56148i | ||||
\(193\) | −11.8242 | + | 14.0915i | −0.851122 | + | 1.01433i | 0.148555 | + | 0.988904i | \(0.452538\pi\) |
−0.999677 | + | 0.0254233i | \(0.991907\pi\) | |||||||
\(194\) | −29.0175 | + | 5.11658i | −2.08334 | + | 0.367349i | ||||
\(195\) | −0.944172 | − | 0.631156i | −0.0676136 | − | 0.0451980i | ||||
\(196\) | 13.8655 | − | 11.6346i | 0.990394 | − | 0.831040i | ||||
\(197\) | −5.05018 | + | 2.91572i | −0.359810 | + | 0.207736i | −0.668997 | − | 0.743265i | \(-0.733276\pi\) |
0.309187 | + | 0.951001i | \(0.399943\pi\) | |||||||
\(198\) | 48.0145 | + | 15.1606i | 3.41224 | + | 1.07742i | ||||
\(199\) | −17.1618 | − | 6.24637i | −1.21656 | − | 0.442793i | −0.347588 | − | 0.937647i | \(-0.612999\pi\) |
−0.868976 | + | 0.494854i | \(0.835222\pi\) | |||||||
\(200\) | −6.05979 | − | 34.3668i | −0.428492 | − | 2.43010i | ||||
\(201\) | −0.357468 | − | 3.27022i | −0.0252138 | − | 0.230663i | ||||
\(202\) | − | 14.2825i | − | 1.00491i | ||||||
\(203\) | 14.1821 | + | 5.16186i | 0.995389 | + | 0.362292i | ||||
\(204\) | 20.6258 | + | 1.35614i | 1.44410 | + | 0.0949488i | ||||
\(205\) | 0.502386 | − | 1.38030i | 0.0350882 | − | 0.0964040i | ||||
\(206\) | −30.3973 | − | 5.35986i | −2.11788 | − | 0.373439i | ||||
\(207\) | 0.401194 | + | 0.630320i | 0.0278849 | + | 0.0438103i | ||||
\(208\) | 9.40020i | 0.651787i | ||||||||
\(209\) | 4.12255 | + | 27.3735i | 0.285163 | + | 1.89347i | ||||
\(210\) | −1.23030 | − | 11.2552i | −0.0848989 | − | 0.776679i | ||||
\(211\) | −14.1345 | − | 2.49230i | −0.973062 | − | 0.171577i | −0.335554 | − | 0.942021i | \(-0.608924\pi\) |
−0.637508 | + | 0.770444i | \(0.720035\pi\) | |||||||
\(212\) | 36.5036 | + | 30.6302i | 2.50708 | + | 2.10369i | ||||
\(213\) | −0.403941 | − | 1.38692i | −0.0276776 | − | 0.0950300i | ||||
\(214\) | −4.39001 | + | 24.8970i | −0.300095 | + | 1.70192i | ||||
\(215\) | −2.74916 | + | 0.484751i | −0.187491 | + | 0.0330598i | ||||
\(216\) | 30.7959 | + | 27.0408i | 2.09539 | + | 1.83990i | ||||
\(217\) | −4.21372 | − | 2.43279i | −0.286046 | − | 0.165149i | ||||
\(218\) | 13.6557 | − | 2.40787i | 0.924880 | − | 0.163081i | ||||
\(219\) | 12.7320 | − | 13.2946i | 0.860349 | − | 0.898363i | ||||
\(220\) | 12.0065 | + | 20.7959i | 0.809480 | + | 1.40206i | ||||
\(221\) | −2.06951 | −0.139210 | ||||||||
\(222\) | 19.0882 | − | 5.55945i | 1.28112 | − | 0.373126i | ||||
\(223\) | −1.01457 | − | 0.178897i | −0.0679408 | − | 0.0119798i | 0.139574 | − | 0.990212i | \(-0.455427\pi\) |
−0.207515 | + | 0.978232i | \(0.566538\pi\) | |||||||
\(224\) | −32.3887 | + | 27.1773i | −2.16406 | + | 1.81586i | ||||
\(225\) | 11.7713 | + | 6.13390i | 0.784753 | + | 0.408926i | ||||
\(226\) | −24.6960 | + | 8.98861i | −1.64275 | + | 0.597913i | ||||
\(227\) | −4.99016 | − | 8.64322i | −0.331209 | − | 0.573671i | 0.651540 | − | 0.758614i | \(-0.274123\pi\) |
−0.982749 | + | 0.184943i | \(0.940790\pi\) | |||||||
\(228\) | −9.86474 | + | 36.3153i | −0.653308 | + | 2.40504i | ||||
\(229\) | 2.44218 | − | 4.22998i | 0.161384 | − | 0.279525i | −0.773981 | − | 0.633208i | \(-0.781738\pi\) |
0.935365 | + | 0.353683i | \(0.115071\pi\) | |||||||
\(230\) | −0.0867047 | + | 0.491727i | −0.00571714 | + | 0.0324235i | ||||
\(231\) | −15.8564 | − | 32.1702i | −1.04327 | − | 2.11664i | ||||
\(232\) | −34.3057 | − | 12.4863i | −2.25228 | − | 0.819763i | ||||
\(233\) | −7.69052 | + | 9.16520i | −0.503823 | + | 0.600432i | −0.956677 | − | 0.291152i | \(-0.905961\pi\) |
0.452854 | + | 0.891585i | \(0.350406\pi\) | |||||||
\(234\) | −5.43511 | − | 4.17405i | −0.355304 | − | 0.272866i | ||||
\(235\) | 2.79305 | + | 4.83770i | 0.182198 | + | 0.315577i | ||||
\(236\) | −18.5329 | −1.20639 | ||||||||
\(237\) | 5.45458 | − | 22.2712i | 0.354313 | − | 1.44667i | ||||
\(238\) | −13.2618 | − | 15.8048i | −0.859632 | − | 1.02447i | ||||
\(239\) | −2.92222 | + | 1.68714i | −0.189023 | + | 0.109132i | −0.591525 | − | 0.806287i | \(-0.701474\pi\) |
0.402502 | + | 0.915419i | \(0.368141\pi\) | |||||||
\(240\) | 1.55273 | + | 14.2049i | 0.100229 | + | 0.916920i | ||||
\(241\) | −9.95753 | − | 11.8669i | −0.641421 | − | 0.764416i | 0.343173 | − | 0.939272i | \(-0.388498\pi\) |
−0.984594 | + | 0.174857i | \(0.944054\pi\) | |||||||
\(242\) | 59.3823 | + | 49.8277i | 3.81724 | + | 3.20305i | ||||
\(243\) | −15.2920 | + | 3.02546i | −0.980985 | + | 0.194083i | ||||
\(244\) | 5.39591 | − | 30.6017i | 0.345438 | − | 1.95908i | ||||
\(245\) | −1.77072 | + | 2.11026i | −0.113127 | + | 0.134819i | ||||
\(246\) | 3.57137 | − | 8.11203i | 0.227702 | − | 0.517204i | ||||
\(247\) | 0.746985 | − | 3.69285i | 0.0475295 | − | 0.234970i | ||||
\(248\) | 10.1927 | + | 5.88479i | 0.647240 | + | 0.373684i | ||||
\(249\) | 5.49015 | + | 11.1387i | 0.347924 | + | 0.705886i | ||||
\(250\) | 6.46230 | + | 17.7550i | 0.408711 | + | 1.12293i | ||||
\(251\) | −3.39453 | − | 4.04544i | −0.214261 | − | 0.255346i | 0.648200 | − | 0.761470i | \(-0.275522\pi\) |
−0.862461 | + | 0.506124i | \(0.831078\pi\) | |||||||
\(252\) | −2.10671 | − | 48.7105i | −0.132710 | − | 3.06847i | ||||
\(253\) | 0.274657 | + | 1.55766i | 0.0172676 | + | 0.0979292i | ||||
\(254\) | −25.6951 | − | 14.8351i | −1.61226 | − | 0.930836i | ||||
\(255\) | −3.12728 | + | 0.341844i | −0.195838 | + | 0.0214071i | ||||
\(256\) | −4.70385 | + | 3.94700i | −0.293991 | + | 0.246688i | ||||
\(257\) | −12.6067 | + | 10.5783i | −0.786385 | + | 0.659855i | −0.944848 | − | 0.327510i | \(-0.893791\pi\) |
0.158463 | + | 0.987365i | \(0.449346\pi\) | |||||||
\(258\) | −16.7449 | + | 1.83039i | −1.04249 | + | 0.113955i | ||||
\(259\) | −12.2644 | − | 7.08084i | −0.762071 | − | 0.439982i | ||||
\(260\) | −0.567527 | − | 3.21860i | −0.0351965 | − | 0.199609i | ||||
\(261\) | 11.7145 | − | 7.45621i | 0.725110 | − | 0.461528i | ||||
\(262\) | −23.5731 | − | 28.0933i | −1.45635 | − | 1.73561i | ||||
\(263\) | 1.66589 | + | 4.57700i | 0.102723 | + | 0.282230i | 0.980398 | − | 0.197027i | \(-0.0631286\pi\) |
−0.877675 | + | 0.479257i | \(0.840906\pi\) | |||||||
\(264\) | 38.3557 | + | 77.8179i | 2.36063 | + | 4.78936i | ||||
\(265\) | −6.28075 | − | 3.62620i | −0.385824 | − | 0.222755i | ||||
\(266\) | 32.9889 | − | 17.9597i | 2.02268 | − | 1.10118i | ||||
\(267\) | −11.7875 | + | 26.7742i | −0.721383 | + | 1.63856i | ||||
\(268\) | 6.08520 | − | 7.25206i | 0.371713 | − | 0.442990i | ||||
\(269\) | 1.18246 | − | 6.70608i | 0.0720960 | − | 0.408877i | −0.927306 | − | 0.374304i | \(-0.877882\pi\) |
0.999402 | − | 0.0345732i | \(-0.0110072\pi\) | |||||||
\(270\) | −8.90259 | − | 5.40973i | −0.541794 | − | 0.329226i | ||||
\(271\) | 11.0962 | + | 9.31080i | 0.674045 | + | 0.565591i | 0.914260 | − | 0.405129i | \(-0.132773\pi\) |
−0.240215 | + | 0.970720i | \(0.577218\pi\) | |||||||
\(272\) | 16.7374 | + | 19.9468i | 1.01485 | + | 1.20945i | ||||
\(273\) | 0.530431 | + | 4.85254i | 0.0321031 | + | 0.293689i | ||||
\(274\) | −2.27602 | + | 1.31406i | −0.137500 | + | 0.0793855i | ||||
\(275\) | 18.0617 | + | 21.5251i | 1.08916 | + | 1.29801i | ||||
\(276\) | −0.511490 | + | 2.08843i | −0.0307881 | + | 0.125709i | ||||
\(277\) | −8.60584 | −0.517075 | −0.258537 | − | 0.966001i | \(-0.583240\pi\) | ||||
−0.258537 | + | 0.966001i | \(0.583240\pi\) | |||||||
\(278\) | −13.4539 | − | 23.3028i | −0.806909 | − | 1.39761i | ||||
\(279\) | −4.13667 | + | 1.71148i | −0.247656 | + | 0.102463i | ||||
\(280\) | 12.5399 | − | 14.9444i | 0.749401 | − | 0.893101i | ||||
\(281\) | −18.1948 | − | 6.62238i | −1.08541 | − | 0.395058i | −0.263494 | − | 0.964661i | \(-0.584875\pi\) |
−0.821920 | + | 0.569603i | \(0.807097\pi\) | |||||||
\(282\) | 14.9021 | + | 30.2341i | 0.887406 | + | 1.80041i | ||||
\(283\) | 1.28701 | − | 7.29900i | 0.0765049 | − | 0.433881i | −0.922364 | − | 0.386323i | \(-0.873745\pi\) |
0.998868 | − | 0.0475578i | \(-0.0151438\pi\) | |||||||
\(284\) | 2.07851 | − | 3.60009i | 0.123337 | − | 0.213626i | ||||
\(285\) | 0.518797 | − | 5.70374i | 0.0307309 | − | 0.337860i | ||||
\(286\) | −7.25356 | − | 12.5635i | −0.428912 | − | 0.742897i | ||||
\(287\) | −5.93274 | + | 2.15934i | −0.350199 | + | 0.127462i | ||||
\(288\) | 1.68090 | + | 38.8651i | 0.0990480 | + | 2.29015i | ||||
\(289\) | 8.63135 | − | 7.24256i | 0.507726 | − | 0.426033i | ||||
\(290\) | 9.13876 | + | 1.61141i | 0.536646 | + | 0.0946253i | ||||
\(291\) | 18.5407 | − | 5.39998i | 1.08687 | − | 0.316553i | ||||
\(292\) | 52.9730 | 3.10001 | ||||||||
\(293\) | −9.18804 | − | 15.9142i | −0.536771 | − | 0.929715i | −0.999075 | − | 0.0429933i | \(-0.986311\pi\) |
0.462304 | − | 0.886721i | \(-0.347023\pi\) | |||||||
\(294\) | −11.4971 | + | 12.0051i | −0.670525 | + | 0.700152i | ||||
\(295\) | 2.77776 | − | 0.489794i | 0.161727 | − | 0.0285169i | ||||
\(296\) | 29.6668 | + | 17.1282i | 1.72435 | + | 0.995554i | ||||
\(297\) | −32.3613 | − | 6.45779i | −1.87780 | − | 0.374719i | ||||
\(298\) | −54.9783 | + | 9.69415i | −3.18481 | + | 0.561567i | ||||
\(299\) | 0.0373818 | − | 0.212003i | 0.00216184 | − | 0.0122604i | ||||
\(300\) | 10.6814 | + | 36.6741i | 0.616689 | + | 2.11738i | ||||
\(301\) | 9.19150 | + | 7.71258i | 0.529789 | + | 0.444546i | ||||
\(302\) | −18.1246 | − | 3.19586i | −1.04296 | − | 0.183901i | ||||
\(303\) | 1.01714 | + | 9.30510i | 0.0584332 | + | 0.534564i | ||||
\(304\) | −41.6345 | + | 22.6665i | −2.38790 | + | 1.30001i | ||||
\(305\) | 4.72927i | 0.270797i | ||||||||
\(306\) | −18.9651 | + | 0.820232i | −1.08416 | + | 0.0468895i | ||||
\(307\) | −3.93086 | − | 0.693117i | −0.224346 | − | 0.0395583i | 0.0603450 | − | 0.998178i | \(-0.480780\pi\) |
−0.284691 | + | 0.958619i | \(0.591891\pi\) | |||||||
\(308\) | 35.3006 | − | 96.9877i | 2.01144 | − | 5.52638i | ||||
\(309\) | 20.1857 | + | 1.32720i | 1.14832 | + | 0.0755017i | ||||
\(310\) | −2.81127 | − | 1.02322i | −0.159669 | − | 0.0581148i | ||||
\(311\) | 24.4621i | 1.38712i | 0.720400 | + | 0.693558i | \(0.243958\pi\) | ||||
−0.720400 | + | 0.693558i | \(0.756042\pi\) | |||||||
\(312\) | −1.28308 | − | 11.7380i | −0.0726402 | − | 0.664534i | ||||
\(313\) | 5.30576 | + | 30.0904i | 0.299899 | + | 1.70081i | 0.646594 | + | 0.762835i | \(0.276193\pi\) |
−0.346695 | + | 0.937978i | \(0.612696\pi\) | |||||||
\(314\) | 39.3520 | + | 14.3230i | 2.22076 | + | 0.808292i | ||||
\(315\) | 1.60309 | + | 7.24516i | 0.0903240 | + | 0.408218i | ||||
\(316\) | 57.1447 | − | 32.9925i | 3.21464 | − | 1.85597i | ||||
\(317\) | 24.5343 | − | 20.5867i | 1.37798 | − | 1.15627i | 0.408033 | − | 0.912967i | \(-0.366215\pi\) |
0.969951 | − | 0.243299i | \(-0.0782298\pi\) | |||||||
\(318\) | −36.3816 | − | 24.3202i | −2.04018 | − | 1.36381i | ||||
\(319\) | 28.9491 | − | 5.10452i | 1.62084 | − | 0.285798i | ||||
\(320\) | −6.10439 | + | 7.27493i | −0.341246 | + | 0.406681i | ||||
\(321\) | 1.08705 | − | 16.5331i | 0.0606731 | − | 0.922789i | ||||
\(322\) | 1.85860 | − | 1.07306i | 0.103576 | − | 0.0597996i | ||||
\(323\) | −4.99017 | − | 9.16609i | −0.277660 | − | 0.510015i | ||||
\(324\) | −36.7256 | − | 25.7605i | −2.04031 | − | 1.43114i | ||||
\(325\) | −1.30801 | − | 3.59373i | −0.0725554 | − | 0.199344i | ||||
\(326\) | −2.40763 | + | 0.876304i | −0.133346 | + | 0.0485340i | ||||
\(327\) | −8.72526 | + | 2.54124i | −0.482508 | + | 0.140531i | ||||
\(328\) | 14.3510 | − | 5.22332i | 0.792399 | − | 0.288410i | ||||
\(329\) | 8.21190 | − | 22.5620i | 0.452736 | − | 1.24388i | ||||
\(330\) | −13.0363 | − | 17.7869i | −0.717623 | − | 0.979136i | ||||
\(331\) | − | 19.2433i | − | 1.05771i | −0.848714 | − | 0.528853i | \(-0.822622\pi\) | ||
0.848714 | − | 0.528853i | \(-0.177378\pi\) | |||||||
\(332\) | −12.2226 | + | 33.5812i | −0.670801 | + | 1.84301i | ||||
\(333\) | −12.0401 | + | 4.98139i | −0.659794 | + | 0.272978i | ||||
\(334\) | 10.3648 | − | 17.9524i | 0.567137 | − | 0.982310i | ||||
\(335\) | −0.720404 | + | 1.24778i | −0.0393599 | + | 0.0681733i | ||||
\(336\) | 42.4808 | − | 44.3578i | 2.31752 | − | 2.41992i | ||||
\(337\) | 7.91681 | + | 21.7513i | 0.431256 | + | 1.18487i | 0.945042 | + | 0.326948i | \(0.106020\pi\) |
−0.513786 | + | 0.857918i | \(0.671758\pi\) | |||||||
\(338\) | −5.62306 | − | 31.8900i | −0.305854 | − | 1.73459i | ||||
\(339\) | 15.4494 | − | 7.61486i | 0.839097 | − | 0.413583i | ||||
\(340\) | −6.93509 | − | 5.81923i | −0.376108 | − | 0.315592i | ||||
\(341\) | −9.47686 | −0.513201 | ||||||||
\(342\) | 5.38177 | − | 34.1375i | 0.291013 | − | 1.84594i | ||||
\(343\) | −10.9837 | −0.593064 | ||||||||
\(344\) | −22.2337 | − | 18.6563i | −1.19876 | − | 1.00588i | ||||
\(345\) | 0.0214697 | − | 0.326537i | 0.00115589 | − | 0.0175802i | ||||
\(346\) | −1.39449 | − | 7.90857i | −0.0749685 | − | 0.425167i | ||||
\(347\) | 2.77917 | + | 7.63571i | 0.149194 | + | 0.409906i | 0.991666 | − | 0.128833i | \(-0.0411231\pi\) |
−0.842473 | + | 0.538739i | \(0.818901\pi\) | |||||||
\(348\) | 38.8136 | + | 9.50607i | 2.08063 | + | 0.509579i | ||||
\(349\) | 7.87884 | − | 13.6465i | 0.421744 | − | 0.730483i | −0.574366 | − | 0.818599i | \(-0.694751\pi\) |
0.996110 | + | 0.0881160i | \(0.0280846\pi\) | |||||||
\(350\) | 19.0632 | − | 33.0184i | 1.01897 | − | 1.76491i | ||||
\(351\) | 3.83825 | + | 2.33234i | 0.204871 | + | 0.124491i | ||||
\(352\) | −28.1657 | + | 77.3845i | −1.50124 | + | 4.12461i | ||||
\(353\) | 17.1465i | 0.912616i | 0.889822 | + | 0.456308i | \(0.150828\pi\) | ||||
−0.889822 | + | 0.456308i | \(0.849172\pi\) | |||||||
\(354\) | 16.9191 | − | 1.84943i | 0.899241 | − | 0.0982961i | ||||
\(355\) | −0.216388 | + | 0.594521i | −0.0114847 | + | 0.0315539i | ||||
\(356\) | −79.1087 | + | 28.7932i | −4.19275 | + | 1.52604i | ||||
\(357\) | 9.76564 | + | 9.35241i | 0.516852 | + | 0.494982i | ||||
\(358\) | 5.09494 | − | 1.85441i | 0.269276 | − | 0.0980084i | ||||
\(359\) | −1.18280 | − | 3.24973i | −0.0624260 | − | 0.171514i | 0.904558 | − | 0.426350i | \(-0.140201\pi\) |
−0.966984 | + | 0.254836i | \(0.917979\pi\) | |||||||
\(360\) | −3.87779 | − | 17.5256i | −0.204377 | − | 0.923682i | ||||
\(361\) | 18.1572 | − | 5.59601i | 0.955643 | − | 0.294527i | ||||
\(362\) | 2.10091 | − | 1.21296i | 0.110421 | − | 0.0637518i | ||||
\(363\) | −42.2364 | − | 28.2340i | −2.21683 | − | 1.48190i | ||||
\(364\) | −9.02957 | + | 10.7610i | −0.473278 | + | 0.564031i | ||||
\(365\) | −7.93972 | + | 1.39999i | −0.415584 | + | 0.0732787i | ||||
\(366\) | −1.87225 | + | 28.4755i | −0.0978642 | + | 1.48844i | ||||
\(367\) | −24.4511 | + | 20.5169i | −1.27634 | + | 1.07097i | −0.282597 | + | 0.959239i | \(0.591196\pi\) |
−0.993738 | + | 0.111733i | \(0.964360\pi\) | |||||||
\(368\) | −2.34570 | + | 1.35429i | −0.122278 | + | 0.0705972i | ||||
\(369\) | −1.74905 | + | 5.53936i | −0.0910521 | + | 0.288368i | ||||
\(370\) | −8.18242 | − | 2.97816i | −0.425384 | − | 0.154827i | ||||
\(371\) | 5.41296 | + | 30.6984i | 0.281027 | + | 1.59378i | ||||
\(372\) | −11.7908 | − | 5.19096i | −0.611324 | − | 0.269139i | ||||
\(373\) | 10.7974i | 0.559066i | 0.960136 | + | 0.279533i | \(0.0901796\pi\) | ||||
−0.960136 | + | 0.279533i | \(0.909820\pi\) | |||||||
\(374\) | −37.7615 | − | 13.7441i | −1.95260 | − | 0.710688i | ||||
\(375\) | −5.47465 | − | 11.1072i | −0.282710 | − | 0.573576i | ||||
\(376\) | −19.8641 | + | 54.5762i | −1.02441 | + | 2.81455i | ||||
\(377\) | −3.94008 | − | 0.694742i | −0.202924 | − | 0.0357810i | ||||
\(378\) | 6.78415 | + | 44.2586i | 0.348939 | + | 2.27642i | ||||
\(379\) | 32.4777i | 1.66827i | 0.551561 | + | 0.834135i | \(0.314033\pi\) | ||||
−0.551561 | + | 0.834135i | \(0.685967\pi\) | |||||||
\(380\) | 12.8871 | − | 10.2746i | 0.661093 | − | 0.527075i | ||||
\(381\) | 17.7970 | + | 7.83521i | 0.911766 | + | 0.401410i | ||||
\(382\) | −41.8123 | − | 7.37263i | −2.13930 | − | 0.377217i | ||||
\(383\) | −21.1197 | − | 17.7215i | −1.07917 | − | 0.905527i | −0.0833141 | − | 0.996523i | \(-0.526550\pi\) |
−0.995851 | + | 0.0909961i | \(0.970995\pi\) | |||||||
\(384\) | −8.56618 | + | 8.94467i | −0.437141 | + | 0.456456i | ||||
\(385\) | −2.72772 | + | 15.4697i | −0.139018 | + | 0.788407i | ||||
\(386\) | 47.8761 | − | 8.44185i | 2.43683 | − | 0.429679i | ||||
\(387\) | 10.7790 | − | 2.38501i | 0.547929 | − | 0.121237i | ||||
\(388\) | 48.1269 | + | 27.7861i | 2.44327 | + | 1.41062i | ||||
\(389\) | 25.1845 | − | 4.44070i | 1.27690 | − | 0.225152i | 0.506238 | − | 0.862394i | \(-0.331036\pi\) |
0.770664 | + | 0.637241i | \(0.219924\pi\) | |||||||
\(390\) | 0.839297 | + | 2.88170i | 0.0424994 | + | 0.145920i | ||||
\(391\) | −0.298155 | − | 0.516419i | −0.0150783 | − | 0.0261165i | ||||
\(392\) | −28.6411 | −1.44660 | ||||||||
\(393\) | 17.3587 | + | 16.6241i | 0.875628 | + | 0.838576i | ||||
\(394\) | 15.1772 | + | 2.67615i | 0.764616 | + | 0.134822i | ||||
\(395\) | −7.69304 | + | 6.45523i | −0.387079 | + | 0.324798i | ||||
\(396\) | −50.9910 | − | 80.1125i | −2.56240 | − | 4.02580i | ||||
\(397\) | −25.5350 | + | 9.29398i | −1.28156 | + | 0.466451i | −0.890949 | − | 0.454103i | \(-0.849960\pi\) |
−0.390615 | + | 0.920554i | \(0.627738\pi\) | |||||||
\(398\) | 24.1329 | + | 41.7995i | 1.20967 | + | 2.09522i | ||||
\(399\) | −20.2134 | + | 14.0501i | −1.01194 | + | 0.703387i | ||||
\(400\) | −24.0592 | + | 41.6718i | −1.20296 | + | 2.08359i | ||||
\(401\) | 4.53233 | − | 25.7041i | 0.226334 | − | 1.28360i | −0.633785 | − | 0.773510i | \(-0.718499\pi\) |
0.860119 | − | 0.510094i | \(-0.170389\pi\) | |||||||
\(402\) | −4.83162 | + | 7.22781i | −0.240979 | + | 0.360491i | ||||
\(403\) | 1.21205 | + | 0.441149i | 0.0603763 | + | 0.0219752i | ||||
\(404\) | −17.3149 | + | 20.6351i | −0.861447 | + | 1.02663i | ||||
\(405\) | 6.18533 | + | 2.89045i | 0.307352 | + | 0.143628i | ||||
\(406\) | −19.9429 | − | 34.5422i | −0.989752 | − | 1.71430i | ||||
\(407\) | −27.5832 | −1.36725 | ||||||||
\(408\) | −23.6225 | − | 22.6229i | −1.16949 | − | 1.12000i | ||||
\(409\) | 0.00239955 | + | 0.00285967i | 0.000118650 | + | 0.000141402i | 0.766104 | − | 0.642717i | \(-0.222193\pi\) |
−0.765985 | + | 0.642858i | \(0.777748\pi\) | |||||||
\(410\) | −3.36187 | + | 1.94098i | −0.166031 | + | 0.0958581i | ||||
\(411\) | 1.38926 | − | 1.01821i | 0.0685270 | − | 0.0502244i | ||||
\(412\) | 37.4196 | + | 44.5949i | 1.84353 | + | 2.19703i | ||||
\(413\) | −9.28711 | − | 7.79281i | −0.456989 | − | 0.383459i | ||||
\(414\) | 0.258543 | − | 1.95762i | 0.0127067 | − | 0.0962116i | ||||
\(415\) | 0.944452 | − | 5.35625i | 0.0463613 | − | 0.262928i | ||||
\(416\) | 7.20451 | − | 8.58601i | 0.353230 | − | 0.420964i | ||||
\(417\) | 10.4248 | + | 14.2237i | 0.510503 | + | 0.696538i | ||||
\(418\) | 38.1549 | − | 62.4210i | 1.86622 | − | 3.05311i | ||||
\(419\) | 0.544792 | + | 0.314536i | 0.0266148 | + | 0.0153661i | 0.513248 | − | 0.858240i | \(-0.328442\pi\) |
−0.486634 | + | 0.873606i | \(0.661775\pi\) | |||||||
\(420\) | −11.8673 | + | 17.7527i | −0.579064 | + | 0.866245i | ||||
\(421\) | −2.69819 | − | 7.41322i | −0.131502 | − | 0.361298i | 0.856414 | − | 0.516290i | \(-0.172687\pi\) |
−0.987916 | + | 0.154992i | \(0.950465\pi\) | |||||||
\(422\) | 24.3816 | + | 29.0569i | 1.18688 | + | 1.41447i | ||||
\(423\) | −11.8619 | − | 18.6364i | −0.576746 | − | 0.906131i | ||||
\(424\) | −13.0936 | − | 74.2577i | −0.635883 | − | 3.60627i | ||||
\(425\) | −9.17429 | − | 5.29678i | −0.445019 | − | 0.256932i | ||||
\(426\) | −1.53826 | + | 3.49402i | −0.0745289 | + | 0.169286i | ||||
\(427\) | 15.5715 | − | 13.0661i | 0.753559 | − | 0.632311i | ||||
\(428\) | 36.5256 | − | 30.6486i | 1.76553 | − | 1.48146i | ||||
\(429\) | 5.62045 | + | 7.66862i | 0.271358 | + | 0.370245i | ||||
\(430\) | 6.38916 | + | 3.68878i | 0.308113 | + | 0.177889i | ||||
\(431\) | 0.183471 | + | 1.04051i | 0.00883747 | + | 0.0501198i | 0.988908 | − | 0.148532i | \(-0.0474548\pi\) |
−0.980070 | + | 0.198652i | \(0.936344\pi\) | |||||||
\(432\) | −8.56211 | − | 55.8577i | −0.411945 | − | 2.68746i | ||||
\(433\) | 9.40407 | + | 11.2073i | 0.451931 | + | 0.538590i | 0.943115 | − | 0.332465i | \(-0.107880\pi\) |
−0.491185 | + | 0.871055i | \(0.663436\pi\) | |||||||
\(434\) | 4.39796 | + | 12.0833i | 0.211109 | + | 0.580017i | ||||
\(435\) | −6.06870 | − | 0.399015i | −0.290972 | − | 0.0191313i | ||||
\(436\) | −22.6486 | − | 13.0762i | −1.08467 | − | 0.626234i | ||||
\(437\) | 1.02912 | − | 0.345629i | 0.0492295 | − | 0.0165337i | ||||
\(438\) | −48.3602 | + | 5.28626i | −2.31074 | + | 0.252587i | ||||
\(439\) | −17.5017 | + | 20.8577i | −0.835312 | + | 0.995485i | 0.164647 | + | 0.986353i | \(0.447352\pi\) |
−0.999958 | + | 0.00913290i | \(0.997093\pi\) | |||||||
\(440\) | 6.59820 | − | 37.4202i | 0.314557 | − | 1.78394i | ||||
\(441\) | 6.63546 | − | 8.64015i | 0.315974 | − | 0.411436i | ||||
\(442\) | 4.18973 | + | 3.51560i | 0.199285 | + | 0.167220i | ||||
\(443\) | −17.8818 | − | 21.3107i | −0.849590 | − | 1.01250i | −0.999716 | − | 0.0238348i | \(-0.992412\pi\) |
0.150126 | − | 0.988667i | \(-0.452032\pi\) | |||||||
\(444\) | −34.3181 | − | 15.1087i | −1.62866 | − | 0.717028i | ||||
\(445\) | 11.0960 | − | 6.40630i | 0.526003 | − | 0.303688i | ||||
\(446\) | 1.75010 | + | 2.08569i | 0.0828698 | + | 0.0987604i | ||||
\(447\) | 35.1282 | − | 10.2311i | 1.66151 | − | 0.483915i | ||||
\(448\) | 40.8186 | 1.92850 | ||||||||
\(449\) | −5.56243 | − | 9.63441i | −0.262507 | − | 0.454676i | 0.704400 | − | 0.709803i | \(-0.251216\pi\) |
−0.966908 | + | 0.255127i | \(0.917883\pi\) | |||||||
\(450\) | −13.4110 | − | 32.4147i | −0.632201 | − | 1.52804i | ||||
\(451\) | −7.90436 | + | 9.42005i | −0.372202 | + | 0.443573i | ||||
\(452\) | 46.5773 | + | 16.9528i | 2.19081 | + | 0.797391i | ||||
\(453\) | 12.0359 | + | 0.791354i | 0.565495 | + | 0.0371811i | ||||
\(454\) | −4.58015 | + | 25.9753i | −0.214957 | + | 1.21908i | ||||
\(455\) | 1.06898 | − | 1.85152i | 0.0501144 | − | 0.0868007i | ||||
\(456\) | 48.8950 | − | 33.9865i | 2.28972 | − | 1.59156i | ||||
\(457\) | −0.723233 | − | 1.25268i | −0.0338314 | − | 0.0585978i | 0.848614 | − | 0.529013i | \(-0.177438\pi\) |
−0.882445 | + | 0.470415i | \(0.844104\pi\) | |||||||
\(458\) | −12.1299 | + | 4.41493i | −0.566794 | + | 0.206296i | ||||
\(459\) | 12.2974 | − | 1.88500i | 0.573994 | − | 0.0879843i | ||||
\(460\) | 0.721397 | − | 0.605324i | 0.0336353 | − | 0.0282234i | ||||
\(461\) | −19.2844 | − | 3.40036i | −0.898163 | − | 0.158370i | −0.294539 | − | 0.955639i | \(-0.595166\pi\) |
−0.603624 | + | 0.797269i | \(0.706277\pi\) | |||||||
\(462\) | −22.5482 | + | 92.0648i | −1.04904 | + | 4.28324i | ||||
\(463\) | −0.421291 | −0.0195791 | −0.00978954 | − | 0.999952i | \(-0.503116\pi\) | ||||
−0.00978954 | + | 0.999952i | \(0.503116\pi\) | |||||||
\(464\) | 25.1695 | + | 43.5949i | 1.16847 | + | 2.02384i | ||||
\(465\) | 1.90442 | + | 0.466423i | 0.0883154 | + | 0.0216298i | ||||
\(466\) | 31.1389 | − | 5.49064i | 1.44248 | − | 0.254349i | ||||
\(467\) | −11.4110 | − | 6.58813i | −0.528037 | − | 0.304862i | 0.212180 | − | 0.977231i | \(-0.431944\pi\) |
−0.740217 | + | 0.672368i | \(0.765277\pi\) | |||||||
\(468\) | 2.79227 | + | 12.6196i | 0.129073 | + | 0.583343i | ||||
\(469\) | 6.09876 | − | 1.07538i | 0.281614 | − | 0.0496562i | ||||
\(470\) | 2.56356 | − | 14.5387i | 0.118248 | − | 0.670618i | ||||
\(471\) | −26.6580 | − | 6.52898i | −1.22834 | − | 0.300839i | ||||
\(472\) | 22.4650 | + | 18.8504i | 1.03403 | + | 0.867658i | ||||
\(473\) | 23.0151 | + | 4.05819i | 1.05824 | + | 0.186596i | ||||
\(474\) | −48.8762 | + | 35.8221i | −2.24496 | + | 1.64536i | ||||
\(475\) | 12.7631 | − | 14.4588i | 0.585609 | − | 0.663416i | ||||
\(476\) | 38.9118i | 1.78352i | ||||||||
\(477\) | 25.4347 | + | 13.2538i | 1.16458 | + | 0.606848i | ||||
\(478\) | 8.78209 | + | 1.54852i | 0.401683 | + | 0.0708276i | ||||
\(479\) | −5.50056 | + | 15.1127i | −0.251327 | + | 0.690516i | 0.748304 | + | 0.663356i | \(0.230869\pi\) |
−0.999631 | + | 0.0271598i | \(0.991354\pi\) | |||||||
\(480\) | 9.46866 | − | 14.1646i | 0.432183 | − | 0.646521i | ||||
\(481\) | 3.52776 | + | 1.28400i | 0.160852 | + | 0.0585453i | ||||
\(482\) | 40.9401i | 1.86477i | ||||||||
\(483\) | −1.13447 | + | 0.831468i | −0.0516201 | + | 0.0378331i | ||||
\(484\) | −25.3876 | − | 143.980i | −1.15398 | − | 6.54455i | ||||
\(485\) | −7.94771 | − | 2.89273i | −0.360887 | − | 0.131352i | ||||
\(486\) | 36.0983 | + | 19.8524i | 1.63745 | + | 0.900525i | ||||
\(487\) | 3.71599 | − | 2.14543i | 0.168388 | − | 0.0972187i | −0.413438 | − | 0.910532i | \(-0.635672\pi\) |
0.581825 | + | 0.813314i | \(0.302339\pi\) | |||||||
\(488\) | −37.6666 | + | 31.6061i | −1.70509 | + | 1.43074i | ||||
\(489\) | 1.50617 | − | 0.742377i | 0.0681114 | − | 0.0335714i | ||||
\(490\) | 7.16963 | − | 1.26420i | 0.323891 | − | 0.0571107i | ||||
\(491\) | −6.10276 | + | 7.27298i | −0.275414 | + | 0.328225i | −0.885966 | − | 0.463751i | \(-0.846503\pi\) |
0.610552 | + | 0.791976i | \(0.290948\pi\) | |||||||
\(492\) | −14.9942 | + | 7.39048i | −0.675990 | + | 0.333189i | ||||
\(493\) | −9.59767 | + | 5.54122i | −0.432257 | + | 0.249564i | ||||
\(494\) | −7.78553 | + | 6.20724i | −0.350288 | + | 0.279277i | ||||
\(495\) | 9.75989 | + | 10.6598i | 0.438675 | + | 0.479124i | ||||
\(496\) | −5.55056 | − | 15.2500i | −0.249227 | − | 0.684747i | ||||
\(497\) | 2.55535 | − | 0.930072i | 0.114623 | − | 0.0417194i | ||||
\(498\) | 7.80712 | − | 31.8767i | 0.349846 | − | 1.42843i | ||||
\(499\) | −1.43798 | + | 0.523383i | −0.0643730 | + | 0.0234299i | −0.374006 | − | 0.927426i | \(-0.622016\pi\) |
0.309633 | + | 0.950856i | \(0.399794\pi\) | |||||||
\(500\) | 12.1881 | − | 33.4864i | 0.545067 | − | 1.49756i | ||||
\(501\) | −5.47422 | + | 12.4342i | −0.244570 | + | 0.555518i | ||||
\(502\) | 13.9565i | 0.622909i | ||||||||
\(503\) | −13.9371 | + | 38.2918i | −0.621424 | + | 1.70735i | 0.0820506 | + | 0.996628i | \(0.473853\pi\) |
−0.703475 | + | 0.710720i | \(0.748369\pi\) | |||||||
\(504\) | −46.9911 | + | 61.1879i | −2.09315 | + | 2.72553i | ||||
\(505\) | 2.04984 | − | 3.55043i | 0.0912168 | − | 0.157992i | ||||
\(506\) | 2.09004 | − | 3.62006i | 0.0929138 | − | 0.160931i | ||||
\(507\) | 5.93452 | + | 20.3760i | 0.263561 | + | 0.904930i | ||||
\(508\) | 19.1390 | + | 52.5840i | 0.849156 | + | 2.33304i | ||||
\(509\) | −3.11231 | − | 17.6508i | −0.137951 | − | 0.782357i | −0.972759 | − | 0.231817i | \(-0.925533\pi\) |
0.834809 | − | 0.550540i | \(-0.185578\pi\) | |||||||
\(510\) | 6.91190 | + | 4.62044i | 0.306064 | + | 0.204596i | ||||
\(511\) | 26.5455 | + | 22.2743i | 1.17430 | + | 0.985358i | ||||
\(512\) | 30.5289 | 1.34920 | ||||||||
\(513\) | −1.07511 | + | 22.6240i | −0.0474674 | + | 0.998873i | ||||
\(514\) | 43.4923 | 1.91836 | ||||||||
\(515\) | −6.78710 | − | 5.69505i | −0.299075 | − | 0.250954i | ||||
\(516\) | 26.4118 | + | 17.6556i | 1.16271 | + | 0.777245i | ||||
\(517\) | −8.12066 | − | 46.0546i | −0.357146 | − | 2.02548i | ||||
\(518\) | 12.8006 | + | 35.1694i | 0.562427 | + | 1.54525i | ||||
\(519\) | 1.47173 | + | 5.05315i | 0.0646020 | + | 0.221809i | ||||
\(520\) | −2.58579 | + | 4.47873i | −0.113395 | + | 0.196405i | ||||
\(521\) | 16.4560 | − | 28.5027i | 0.720952 | − | 1.24873i | −0.239667 | − | 0.970855i | \(-0.577038\pi\) |
0.960619 | − | 0.277870i | \(-0.0896285\pi\) | |||||||
\(522\) | −36.3824 | − | 4.80503i | −1.59241 | − | 0.210310i | ||||
\(523\) | 7.51002 | − | 20.6336i | 0.328390 | − | 0.902245i | −0.660129 | − | 0.751152i | \(-0.729499\pi\) |
0.988520 | − | 0.151093i | \(-0.0482792\pi\) | |||||||
\(524\) | 69.1667i | 3.02156i | ||||||||
\(525\) | −10.0683 | + | 22.8693i | −0.439417 | + | 0.998096i | ||||
\(526\) | 4.40262 | − | 12.0961i | 0.191963 | − | 0.527415i | ||||
\(527\) | 3.35739 | − | 1.22199i | 0.146250 | − | 0.0532307i | ||||
\(528\) | 28.4575 | − | 116.193i | 1.23845 | − | 5.05664i | ||||
\(529\) | −21.5546 | + | 7.84525i | −0.937158 | + | 0.341098i | ||||
\(530\) | 6.55537 | + | 18.0107i | 0.284747 | + | 0.782336i | ||||
\(531\) | −10.8912 | + | 2.40982i | −0.472636 | + | 0.104577i | ||||
\(532\) | −69.4345 | − | 14.0451i | −3.01037 | − | 0.608933i | ||||
\(533\) | 1.44943 | − | 0.836831i | 0.0627820 | − | 0.0362472i | ||||
\(534\) | 69.3468 | − | 34.1803i | 3.00093 | − | 1.47913i | ||||
\(535\) | −4.66455 | + | 5.55899i | −0.201666 | + | 0.240336i | ||||
\(536\) | −14.7525 | + | 2.60127i | −0.637213 | + | 0.112358i | ||||
\(537\) | −3.18731 | + | 1.57099i | −0.137543 | + | 0.0677934i | ||||
\(538\) | −13.7859 | + | 11.5678i | −0.594353 | + | 0.498721i | ||||
\(539\) | 19.9721 | − | 11.5309i | 0.860261 | − | 0.496672i | ||||
\(540\) | 6.30399 | + | 18.6086i | 0.271281 | + | 0.800787i | ||||
\(541\) | 13.1805 | + | 4.79731i | 0.566675 | + | 0.206253i | 0.609440 | − | 0.792832i | \(-0.291394\pi\) |
−0.0427650 | + | 0.999085i | \(0.513617\pi\) | |||||||
\(542\) | −6.64744 | − | 37.6995i | −0.285532 | − | 1.61933i | ||||
\(543\) | −1.28237 | + | 0.939867i | −0.0550317 | + | 0.0403336i | ||||
\(544\) | − | 31.0470i | − | 1.33113i | ||||||
\(545\) | 3.74020 | + | 1.36132i | 0.160213 | + | 0.0583126i | ||||
\(546\) | 7.16943 | − | 10.7250i | 0.306823 | − | 0.458989i | ||||
\(547\) | 12.9341 | − | 35.5361i | 0.553021 | − | 1.51941i | −0.276543 | − | 0.961001i | \(-0.589189\pi\) |
0.829564 | − | 0.558411i | \(-0.188589\pi\) | |||||||
\(548\) | 4.88141 | + | 0.860725i | 0.208524 | + | 0.0367684i | ||||
\(549\) | −0.808128 | − | 18.6852i | −0.0344900 | − | 0.797465i | ||||
\(550\) | − | 74.2601i | − | 3.16646i | ||||||
\(551\) | −6.42353 | − | 19.1262i | −0.273652 | − | 0.814805i | ||||
\(552\) | 2.74421 | − | 2.01127i | 0.116801 | − | 0.0856055i | ||||
\(553\) | 42.5088 | + | 7.49545i | 1.80766 | + | 0.318739i | ||||
\(554\) | 17.4225 | + | 14.6192i | 0.740212 | + | 0.621112i | ||||
\(555\) | 5.54297 | + | 1.35756i | 0.235286 | + | 0.0576253i | ||||
\(556\) | −8.81241 | + | 49.9777i | −0.373730 | + | 2.11953i | ||||
\(557\) | −15.3168 | + | 2.70076i | −0.648993 | + | 0.114435i | −0.488447 | − | 0.872594i | \(-0.662436\pi\) |
−0.160546 | + | 0.987028i | \(0.551325\pi\) | |||||||
\(558\) | 11.2821 | + | 3.56232i | 0.477609 | + | 0.150805i | ||||
\(559\) | −2.75462 | − | 1.59038i | −0.116508 | − | 0.0672659i | ||||
\(560\) | −26.4912 | + | 4.67111i | −1.11946 | + | 0.197390i | ||||
\(561\) | 25.5805 | + | 6.26509i | 1.08001 | + | 0.264512i | ||||
\(562\) | 25.5857 | + | 44.3157i | 1.07927 | + | 1.86934i | ||||
\(563\) | 9.04621 | 0.381252 | 0.190626 | − | 0.981663i | \(-0.438948\pi\) | ||||
0.190626 | + | 0.981663i | \(0.438948\pi\) | |||||||
\(564\) | 15.1230 | − | 61.7476i | 0.636793 | − | 2.60004i | ||||
\(565\) | −7.42915 | − | 1.30996i | −0.312547 | − | 0.0551104i | ||||
\(566\) | −15.0048 | + | 12.5905i | −0.630699 | + | 0.529219i | ||||
\(567\) | −7.57182 | − | 28.3515i | −0.317986 | − | 1.19065i | ||||
\(568\) | −6.18125 | + | 2.24979i | −0.259359 | + | 0.0943991i | ||||
\(569\) | 9.91059 | + | 17.1656i | 0.415473 | + | 0.719621i | 0.995478 | − | 0.0949920i | \(-0.0302826\pi\) |
−0.580005 | + | 0.814613i | \(0.696949\pi\) | |||||||
\(570\) | −10.7396 | + | 10.6659i | −0.449832 | + | 0.446746i | ||||
\(571\) | 15.1317 | − | 26.2089i | 0.633243 | − | 1.09681i | −0.353642 | − | 0.935381i | \(-0.615057\pi\) |
0.986884 | − | 0.161428i | \(-0.0516099\pi\) | |||||||
\(572\) | −4.75115 | + | 26.9451i | −0.198656 | + | 1.12663i | ||||
\(573\) | 27.7659 | + | 1.82560i | 1.15994 | + | 0.0762655i | ||||
\(574\) | 15.6791 | + | 5.70671i | 0.654431 | + | 0.238193i | ||||
\(575\) | 0.708324 | − | 0.844147i | 0.0295391 | − | 0.0352034i | ||||
\(576\) | 22.8752 | − | 29.7862i | 0.953132 | − | 1.24109i | ||||
\(577\) | 7.66581 | + | 13.2776i | 0.319132 | + | 0.552752i | 0.980307 | − | 0.197479i | \(-0.0632754\pi\) |
−0.661175 | + | 0.750231i | \(0.729942\pi\) | |||||||
\(578\) | −29.7776 | −1.23858 | ||||||||
\(579\) | −30.5903 | + | 8.90944i | −1.27129 | + | 0.370264i | ||||
\(580\) | −11.2500 | − | 13.4072i | −0.467129 | − | 0.556703i | ||||
\(581\) | −20.2453 | + | 11.6886i | −0.839916 | + | 0.484926i | ||||
\(582\) | −46.7089 | − | 20.5638i | −1.93615 | − | 0.852399i | ||||
\(583\) | 39.0267 | + | 46.5102i | 1.61632 | + | 1.92625i | ||||
\(584\) | −64.2121 | − | 53.8803i | −2.65711 | − | 2.22958i | ||||
\(585\) | −0.752028 | − | 1.81767i | −0.0310925 | − | 0.0751513i | ||||
\(586\) | −8.43310 | + | 47.8265i | −0.348368 | + | 1.97569i | ||||
\(587\) | −3.27414 | + | 3.90196i | −0.135138 | + | 0.161051i | −0.829369 | − | 0.558701i | \(-0.811300\pi\) |
0.694231 | + | 0.719752i | \(0.255744\pi\) | |||||||
\(588\) | 31.1647 | − | 3.40662i | 1.28521 | − | 0.140487i | ||||
\(589\) | 0.968685 | + | 6.43202i | 0.0399140 | + | 0.265027i | ||||
\(590\) | −6.45562 | − | 3.72715i | −0.265774 | − | 0.153445i | ||||
\(591\) | −10.0786 | − | 0.662664i | −0.414578 | − | 0.0272583i | ||||
\(592\) | −16.1554 | − | 44.3865i | −0.663981 | − | 1.82427i | ||||
\(593\) | 3.64215 | + | 4.34055i | 0.149565 | + | 0.178245i | 0.835625 | − | 0.549300i | \(-0.185106\pi\) |
−0.686060 | + | 0.727545i | \(0.740661\pi\) | |||||||
\(594\) | 54.5454 | + | 68.0479i | 2.23802 | + | 2.79204i | ||||
\(595\) | −1.02837 | − | 5.83219i | −0.0421592 | − | 0.239097i | ||||
\(596\) | 91.1839 | + | 52.6451i | 3.73504 | + | 2.15643i | ||||
\(597\) | −18.6995 | − | 25.5139i | −0.765319 | − | 1.04421i | ||||
\(598\) | −0.435821 | + | 0.365697i | −0.0178220 | + | 0.0149545i | ||||
\(599\) | −27.4211 | + | 23.0091i | −1.12040 | + | 0.940125i | −0.998624 | − | 0.0524331i | \(-0.983302\pi\) |
−0.121773 | + | 0.992558i | \(0.538858\pi\) | |||||||
\(600\) | 24.3547 | − | 55.3194i | 0.994276 | − | 2.25841i | ||||
\(601\) | −0.820033 | − | 0.473447i | −0.0334499 | − | 0.0193123i | 0.483182 | − | 0.875520i | \(-0.339481\pi\) |
−0.516632 | + | 0.856208i | \(0.672814\pi\) | |||||||
\(602\) | −5.50639 | − | 31.2283i | −0.224424 | − | 1.27277i | ||||
\(603\) | 2.63308 | − | 5.05304i | 0.107227 | − | 0.205776i | ||||
\(604\) | 22.3117 | + | 26.5901i | 0.907852 | + | 1.08194i | ||||
\(605\) | 7.61030 | + | 20.9091i | 0.309403 | + | 0.850077i | ||||
\(606\) | 13.7479 | − | 20.5661i | 0.558471 | − | 0.835439i | ||||
\(607\) | 1.96702 | + | 1.13566i | 0.0798389 | + | 0.0460950i | 0.539388 | − | 0.842057i | \(-0.318656\pi\) |
−0.459549 | + | 0.888152i | \(0.651989\pi\) | |||||||
\(608\) | 55.4004 | + | 11.2063i | 2.24678 | + | 0.454477i | ||||
\(609\) | 15.4529 | + | 21.0841i | 0.626182 | + | 0.854372i | ||||
\(610\) | 8.03388 | − | 9.57441i | 0.325282 | − | 0.387657i | ||||
\(611\) | −1.10525 | + | 6.26818i | −0.0447136 | + | 0.253583i | ||||
\(612\) | 28.3948 | + | 21.8066i | 1.14779 | + | 0.881479i | ||||
\(613\) | −27.8078 | − | 23.3335i | −1.12315 | − | 0.942432i | −0.124387 | − | 0.992234i | \(-0.539696\pi\) |
−0.998759 | + | 0.0498023i | \(0.984141\pi\) | |||||||
\(614\) | 6.78060 | + | 8.08080i | 0.273643 | + | 0.326115i | ||||
\(615\) | 2.05204 | − | 1.50397i | 0.0827464 | − | 0.0606461i | ||||
\(616\) | −141.439 | + | 81.6599i | −5.69874 | + | 3.29017i | ||||
\(617\) | 14.2665 | + | 17.0022i | 0.574349 | + | 0.684483i | 0.972518 | − | 0.232830i | \(-0.0747985\pi\) |
−0.398168 | + | 0.917312i | \(0.630354\pi\) | |||||||
\(618\) | −38.6113 | − | 36.9775i | −1.55317 | − | 1.48745i | ||||
\(619\) | 3.09223 | 0.124287 | 0.0621436 | − | 0.998067i | \(-0.480206\pi\) | ||||
0.0621436 | + | 0.998067i | \(0.480206\pi\) | |||||||
\(620\) | 2.82120 | + | 4.88646i | 0.113302 | + | 0.196245i | ||||
\(621\) | −0.0290282 | + | 1.29381i | −0.00116486 | + | 0.0519187i | ||||
\(622\) | 41.5552 | − | 49.5235i | 1.66621 | − | 1.98571i | ||||
\(623\) | −51.7496 | − | 18.8353i | −2.07330 | − | 0.754621i | ||||
\(624\) | −9.04837 | + | 13.5358i | −0.362225 | + | 0.541866i | ||||
\(625\) | 2.89977 | − | 16.4454i | 0.115991 | − | 0.657817i | ||||
\(626\) | 40.3749 | − | 69.9314i | 1.61371 | − | 2.79502i | ||||
\(627\) | −20.4127 | + | 43.3847i | −0.815205 | + | 1.73262i | ||||
\(628\) | −39.4911 | − | 68.4006i | −1.57587 | − | 2.72948i | ||||
\(629\) | 9.77195 | − | 3.55670i | 0.389633 | − | 0.141815i | ||||
\(630\) | 9.06232 | − | 17.3911i | 0.361051 | − | 0.692878i | ||||
\(631\) | −2.58804 | + | 2.17163i | −0.103028 | + | 0.0864511i | −0.692847 | − | 0.721085i | \(-0.743644\pi\) |
0.589818 | + | 0.807536i | \(0.299199\pi\) | |||||||
\(632\) | −102.826 | − | 18.1311i | −4.09021 | − | 0.721215i | ||||
\(633\) | −17.9540 | − | 17.1943i | −0.713608 | − | 0.683412i | ||||
\(634\) | −84.6417 | −3.36155 | ||||||||
\(635\) | −4.25831 | − | 7.37560i | −0.168986 | − | 0.292692i | ||||
\(636\) | 23.0797 | + | 79.2433i | 0.915168 | + | 3.14220i | ||||
\(637\) | −3.09111 | + | 0.545046i | −0.122474 | + | 0.0215955i | ||||
\(638\) | −67.2790 | − | 38.8435i | −2.66360 | − | 1.53783i | ||||
\(639\) | 0.753353 | − | 2.38591i | 0.0298022 | − | 0.0943853i | ||||
\(640\) | 5.34190 | − | 0.941921i | 0.211157 | − | 0.0372327i | ||||
\(641\) | 5.27093 | − | 29.8929i | 0.208189 | − | 1.18070i | −0.684153 | − | 0.729339i | \(-0.739828\pi\) |
0.892342 | − | 0.451360i | \(-0.149061\pi\) | |||||||
\(642\) | −30.2865 | + | 31.6247i | −1.19531 | + | 1.24813i | ||||
\(643\) | −14.3844 | − | 12.0699i | −0.567264 | − | 0.475991i | 0.313473 | − | 0.949597i | \(-0.398508\pi\) |
−0.880737 | + | 0.473606i | \(0.842952\pi\) | |||||||
\(644\) | −3.98616 | − | 0.702868i | −0.157077 | − | 0.0276969i | ||||
\(645\) | −4.42526 | − | 1.94825i | −0.174245 | − | 0.0767122i | ||||
\(646\) | −5.46837 | + | 27.0339i | −0.215150 | + | 1.06363i | ||||
\(647\) | − | 1.18300i | − | 0.0465086i | −0.999730 | − | 0.0232543i | \(-0.992597\pi\) | ||
0.999730 | − | 0.0232543i | \(-0.00740274\pi\) | |||||||
\(648\) | 18.3158 | + | 68.5807i | 0.719512 | + | 2.69410i | ||||
\(649\) | −23.2545 | − | 4.10040i | −0.912820 | − | 0.160955i | ||||
\(650\) | −3.45681 | + | 9.49752i | −0.135587 | + | 0.372523i | ||||
\(651\) | −3.72581 | − | 7.55911i | −0.146026 | − | 0.296265i | ||||
\(652\) | 4.54085 | + | 1.65273i | 0.177833 | + | 0.0647260i | ||||
\(653\) | − | 13.7421i | − | 0.537770i | −0.963172 | − | 0.268885i | \(-0.913345\pi\) | ||
0.963172 | − | 0.268885i | \(-0.0866551\pi\) | |||||||
\(654\) | 21.9813 | + | 9.67737i | 0.859535 | + | 0.378415i | ||||
\(655\) | −1.82796 | − | 10.3669i | −0.0714242 | − | 0.405067i | ||||
\(656\) | −19.7882 | − | 7.20230i | −0.772598 | − | 0.281203i | ||||
\(657\) | 31.1304 | − | 6.88804i | 1.21451 | − | 0.268728i | ||||
\(658\) | −54.9524 | + | 31.7268i | −2.14227 | + | 1.23684i | ||||
\(659\) | 1.60512 | − | 1.34685i | 0.0625265 | − | 0.0524659i | −0.610989 | − | 0.791639i | \(-0.709228\pi\) |
0.673515 | + | 0.739173i | \(0.264784\pi\) | |||||||
\(660\) | −2.72876 | + | 41.5022i | −0.106217 | + | 1.61547i | ||||
\(661\) | 42.5800 | − | 7.50801i | 1.65617 | − | 0.292028i | 0.734098 | − | 0.679043i | \(-0.237605\pi\) |
0.922073 | + | 0.387015i | \(0.126494\pi\) | |||||||
\(662\) | −32.6897 | + | 38.9580i | −1.27052 | + | 1.51415i | ||||
\(663\) | −2.97999 | − | 1.99205i | −0.115733 | − | 0.0773649i | ||||
\(664\) | 48.9722 | − | 28.2741i | 1.90049 | − | 1.09725i | ||||
\(665\) | 10.7782 | + | 0.270080i | 0.417961 | + | 0.0104732i | ||||
\(666\) | 32.8374 | + | 10.3684i | 1.27242 | + | 0.401768i | ||||
\(667\) | −0.394284 | − | 1.08329i | −0.0152667 | − | 0.0419450i | ||||
\(668\) | −36.7388 | + | 13.3718i | −1.42147 | + | 0.517372i | ||||
\(669\) | −1.28873 | − | 1.23420i | −0.0498253 | − | 0.0477170i | ||||
\(670\) | 3.57813 | − | 1.30233i | 0.138235 | − | 0.0503135i | ||||
\(671\) | 13.5412 | − | 37.2042i | 0.522754 | − | 1.43625i | ||||
\(672\) | −72.7982 | + | 7.95757i | −2.80825 | + | 0.306970i | ||||
\(673\) | 30.6064i | 1.17979i | 0.807480 | + | 0.589895i | \(0.200831\pi\) | ||||
−0.807480 | + | 0.589895i | \(0.799169\pi\) | |||||||
\(674\) | 20.9225 | − | 57.4842i | 0.805906 | − | 2.21421i | ||||
\(675\) | 11.0458 | + | 20.1632i | 0.425152 | + | 0.776083i | ||||
\(676\) | −30.5366 | + | 52.8909i | −1.17448 | + | 2.03427i | ||||
\(677\) | −0.467835 | + | 0.810314i | −0.0179804 | + | 0.0311429i | −0.874876 | − | 0.484348i | \(-0.839057\pi\) |
0.856895 | + | 0.515491i | \(0.172390\pi\) | |||||||
\(678\) | −44.2132 | − | 10.8285i | −1.69800 | − | 0.415867i | ||||
\(679\) | 12.4334 | + | 34.1606i | 0.477151 | + | 1.31096i | ||||
\(680\) | 2.48758 | + | 14.1077i | 0.0953942 | + | 0.541007i | ||||
\(681\) | 1.13413 | − | 17.2492i | 0.0434599 | − | 0.660990i | ||||
\(682\) | 19.1859 | + | 16.0989i | 0.734667 | + | 0.616459i | ||||
\(683\) | −17.9300 | −0.686071 | −0.343035 | − | 0.939323i | \(-0.611455\pi\) | ||||
−0.343035 | + | 0.939323i | \(0.611455\pi\) | |||||||
\(684\) | −49.1608 | + | 42.7968i | −1.87971 | + | 1.63638i | ||||
\(685\) | −0.754385 | −0.0288236 | ||||||||
\(686\) | 22.2365 | + | 18.6586i | 0.848994 | + | 0.712390i | ||||
\(687\) | 7.58828 | − | 3.74019i | 0.289511 | − | 0.142697i | ||||
\(688\) | 6.94948 | + | 39.4125i | 0.264946 | + | 1.50259i | ||||
\(689\) | −2.82628 | − | 7.76513i | −0.107673 | − | 0.295828i | ||||
\(690\) | −0.598173 | + | 0.624603i | −0.0227720 | + | 0.0237782i | ||||
\(691\) | −1.17561 | + | 2.03622i | −0.0447224 | + | 0.0774614i | −0.887520 | − | 0.460769i | \(-0.847574\pi\) |
0.842798 | + | 0.538230i | \(0.180907\pi\) | |||||||
\(692\) | −7.57294 | + | 13.1167i | −0.287880 | + | 0.498623i | ||||
\(693\) | 8.13373 | − | 61.5864i | 0.308975 | − | 2.33947i | ||||
\(694\) | 7.34479 | − | 20.1796i | 0.278804 | − | 0.766009i | ||||
\(695\) | − | 7.72367i | − | 0.292975i | ||||||
\(696\) | −37.3796 | − | 51.0013i | −1.41687 | − | 1.93320i | ||||
\(697\) | 1.58563 | − | 4.35648i | 0.0600600 | − | 0.165013i | ||||
\(698\) | −39.1329 | + | 14.2432i | −1.48120 | + | 0.539114i | ||||
\(699\) | −19.8961 | + | 5.79476i | −0.752541 | + | 0.219178i | ||||
\(700\) | −67.5709 | + | 24.5938i | −2.55394 | + | 0.929558i | ||||
\(701\) | 0.152181 | + | 0.418113i | 0.00574779 | + | 0.0157919i | 0.942533 | − | 0.334112i | \(-0.108436\pi\) |
−0.936786 | + | 0.349904i | \(0.886214\pi\) | |||||||
\(702\) | −3.80846 | − | 11.2421i | −0.143741 | − | 0.424306i | ||||
\(703\) | 2.81944 | + | 18.7209i | 0.106337 | + | 0.706073i | ||||
\(704\) | 68.8522 | − | 39.7519i | 2.59497 | − | 1.49820i | ||||
\(705\) | −0.634784 | + | 9.65456i | −0.0239073 | + | 0.363612i | ||||
\(706\) | 29.1278 | − | 34.7131i | 1.09624 | − | 1.30645i | ||||
\(707\) | −17.3534 | + | 3.05988i | −0.652643 | + | 0.115079i | ||||
\(708\) | −26.6865 | − | 17.8393i | −1.00294 | − | 0.670441i | ||||
\(709\) | 14.7171 | − | 12.3492i | 0.552714 | − | 0.463782i | −0.323145 | − | 0.946350i | \(-0.604740\pi\) |
0.875859 | + | 0.482567i | \(0.160296\pi\) | |||||||
\(710\) | 1.44803 | − | 0.836018i | 0.0543434 | − | 0.0313752i | ||||
\(711\) | 29.2920 | − | 26.8190i | 1.09853 | − | 1.00579i | ||||
\(712\) | 125.179 | + | 45.5615i | 4.69129 | + | 1.70749i | ||||
\(713\) | 0.0645369 | + | 0.366007i | 0.00241692 | + | 0.0137071i | ||||
\(714\) | −3.88307 | − | 35.5234i | −0.145320 | − | 1.32943i | ||||
\(715\) | − | 4.16416i | − | 0.155731i | ||||||
\(716\) | −9.60919 | − | 3.49746i | −0.359112 | − | 0.130706i | ||||
\(717\) | −5.83184 | − | 0.383442i | −0.217794 | − | 0.0143199i | ||||
\(718\) | −3.12592 | + | 8.58838i | −0.116658 | + | 0.320516i | ||||
\(719\) | 37.0819 | + | 6.53854i | 1.38292 | + | 0.243846i | 0.815107 | − | 0.579310i | \(-0.196678\pi\) |
0.567815 | + | 0.823156i | \(0.307789\pi\) | |||||||
\(720\) | −11.4373 | + | 21.9489i | −0.426244 | + | 0.817987i | ||||
\(721\) | 38.0815i | 1.41823i | ||||||||
\(722\) | −46.2656 | − | 19.5156i | −1.72183 | − | 0.726296i | ||||
\(723\) | −2.91558 | − | 26.6726i | −0.108432 | − | 0.991965i | ||||
\(724\) | −4.50585 | − | 0.794502i | −0.167458 | − | 0.0295274i | ||||
\(725\) | −15.6885 | − | 13.1642i | −0.582656 | − | 0.488907i | ||||
\(726\) | 37.5449 | + | 128.909i | 1.39342 | + | 4.78427i | ||||
\(727\) | 4.79925 | − | 27.2179i | 0.177994 | − | 1.00946i | −0.756636 | − | 0.653836i | \(-0.773158\pi\) |
0.934630 | − | 0.355620i | \(-0.115730\pi\) | |||||||
\(728\) | 21.8907 | − | 3.85991i | 0.811322 | − | 0.143058i | ||||
\(729\) | −24.9320 | − | 10.3632i | −0.923407 | − | 0.383821i | ||||
\(730\) | 18.4522 | + | 10.6534i | 0.682947 | + | 0.394300i | ||||
\(731\) | −8.67689 | + | 1.52997i | −0.320926 | + | 0.0565880i | ||||
\(732\) | 37.2262 | − | 38.8710i | 1.37592 | − | 1.43671i | ||||
\(733\) | −22.0709 | − | 38.2280i | −0.815209 | − | 1.41198i | −0.909178 | − | 0.416408i | \(-0.863289\pi\) |
0.0939693 | − | 0.995575i | \(-0.470044\pi\) | |||||||
\(734\) | 84.3545 | 3.11358 | ||||||||
\(735\) | −4.58101 | + | 1.33422i | −0.168973 | + | 0.0492136i | ||||
\(736\) | 3.18048 | + | 0.560805i | 0.117234 | + | 0.0206715i | ||||
\(737\) | 9.24002 | − | 7.75330i | 0.340361 | − | 0.285597i | ||||
\(738\) | 12.9510 | − | 8.24322i | 0.476733 | − | 0.303437i | ||||
\(739\) | −49.3025 | + | 17.9446i | −1.81362 | + | 0.660104i | −0.817126 | + | 0.576460i | \(0.804434\pi\) |
−0.996496 | + | 0.0836444i | \(0.973344\pi\) | |||||||
\(740\) | 8.21133 | + | 14.2224i | 0.301855 | + | 0.522827i | ||||
\(741\) | 4.63025 | − | 4.59849i | 0.170097 | − | 0.168930i | ||||
\(742\) | 41.1907 | − | 71.3443i | 1.51216 | − | 2.61913i | ||||
\(743\) | −4.43163 | + | 25.1330i | −0.162581 | + | 0.922042i | 0.788943 | + | 0.614467i | \(0.210629\pi\) |
−0.951524 | + | 0.307575i | \(0.900482\pi\) | |||||||
\(744\) | 9.01252 | + | 18.2850i | 0.330415 | + | 0.670362i | ||||
\(745\) | −15.0582 | − | 5.48073i | −0.551689 | − | 0.200798i | ||||
\(746\) | 18.3421 | − | 21.8593i | 0.671552 | − | 0.800324i | ||||
\(747\) | −2.81624 | + | 21.3238i | −0.103041 | + | 0.780198i | ||||
\(748\) | 37.8949 | + | 65.6359i | 1.38558 | + | 2.39989i | ||||
\(749\) | 31.1907 | 1.13968 | ||||||||
\(750\) | −7.78509 | + | 31.7868i | −0.284271 | + | 1.16069i | ||||
\(751\) | −28.3064 | − | 33.7343i | −1.03292 | − | 1.23098i | −0.972523 | − | 0.232807i | \(-0.925209\pi\) |
−0.0603929 | − | 0.998175i | \(-0.519235\pi\) | |||||||
\(752\) | 69.3541 | − | 40.0416i | 2.52908 | − | 1.46017i | ||||
\(753\) | −0.993925 | − | 9.09271i | −0.0362206 | − | 0.331357i | ||||
\(754\) | 6.79650 | + | 8.09975i | 0.247514 | + | 0.294975i | ||||
\(755\) | −4.04687 | − | 3.39572i | −0.147281 | − | 0.123583i | ||||
\(756\) | 43.8537 | − | 72.1685i | 1.59495 | − | 2.62474i | ||||
\(757\) | 5.46508 | − | 30.9940i | 0.198632 | − | 1.12650i | −0.708520 | − | 0.705691i | \(-0.750637\pi\) |
0.907151 | − | 0.420805i | \(-0.138252\pi\) | |||||||
\(758\) | 55.1719 | − | 65.7513i | 2.00393 | − | 2.38819i | ||||
\(759\) | −1.10387 | + | 2.50733i | −0.0400678 | + | 0.0910103i | ||||
\(760\) | −26.0718 | − | 0.653307i | −0.945725 | − | 0.0236979i | ||||
\(761\) | −17.5822 | − | 10.1511i | −0.637355 | − | 0.367977i | 0.146240 | − | 0.989249i | \(-0.453283\pi\) |
−0.783595 | + | 0.621272i | \(0.786616\pi\) | |||||||
\(762\) | −22.7199 | − | 46.0952i | −0.823054 | − | 1.66985i | ||||
\(763\) | −5.85119 | − | 16.0760i | −0.211827 | − | 0.581991i | ||||
\(764\) | 51.4716 | + | 61.3415i | 1.86218 | + | 2.21926i | ||||
\(765\) | −4.83218 | − | 2.51800i | −0.174708 | − | 0.0910384i | ||||
\(766\) | 12.6523 | + | 71.7545i | 0.457145 | + | 2.59260i | ||||
\(767\) | 2.78327 | + | 1.60692i | 0.100498 | + | 0.0580226i | ||||
\(768\) | −10.5726 | + | 1.15569i | −0.381505 | + | 0.0417024i | ||||
\(769\) | −27.7241 | + | 23.2633i | −0.999756 | + | 0.838895i | −0.986951 | − | 0.161023i | \(-0.948521\pi\) |
−0.0128057 | + | 0.999918i | \(0.504076\pi\) | |||||||
\(770\) | 31.8015 | − | 26.6846i | 1.14605 | − | 0.961648i | ||||
\(771\) | −28.3354 | + | 3.09734i | −1.02047 | + | 0.111548i | ||||
\(772\) | −79.4046 | − | 45.8443i | −2.85783 | − | 1.64997i | ||||
\(773\) | −2.37406 | − | 13.4640i | −0.0853889 | − | 0.484265i | −0.997272 | − | 0.0738146i | \(-0.976483\pi\) |
0.911883 | − | 0.410450i | \(-0.134628\pi\) | |||||||
\(774\) | −25.8738 | − | 13.4825i | −0.930013 | − | 0.484619i | ||||
\(775\) | 4.24400 | + | 5.05780i | 0.152449 | + | 0.181682i | ||||
\(776\) | −30.0758 | − | 82.6325i | −1.07966 | − | 2.96633i | ||||
\(777\) | −10.8443 | − | 22.0014i | −0.389036 | − | 0.789296i | ||||
\(778\) | −58.5297 | − | 33.7921i | −2.09839 | − | 1.21151i | ||||
\(779\) | 7.20141 | + | 4.40187i | 0.258017 | + | 0.157713i | ||||
\(780\) | 2.28093 | − | 5.18091i | 0.0816703 | − | 0.185506i | ||||
\(781\) | 3.40457 | − | 4.05740i | 0.121825 | − | 0.145185i | ||||
\(782\) | −0.273657 | + | 1.55199i | −0.00978595 | + | 0.0554989i | ||||
\(783\) | 24.0455 | + | 0.539490i | 0.859314 | + | 0.0192798i | ||||
\(784\) | 30.2530 | + | 25.3853i | 1.08046 | + | 0.906617i | ||||
\(785\) | 7.72673 | + | 9.20835i | 0.275779 | + | 0.328660i | ||||
\(786\) | −6.90225 | − | 63.1438i | −0.246195 | − | 2.25226i | ||||
\(787\) | −17.2254 | + | 9.94508i | −0.614019 | + | 0.354504i | −0.774537 | − | 0.632529i | \(-0.782017\pi\) |
0.160518 | + | 0.987033i | \(0.448684\pi\) | |||||||
\(788\) | −18.6834 | − | 22.2660i | −0.665568 | − | 0.793193i | ||||
\(789\) | −2.00689 | + | 8.19419i | −0.0714471 | + | 0.291721i | ||||
\(790\) | 26.5405 | 0.944267 | ||||||||
\(791\) | 16.2122 | + | 28.0803i | 0.576438 | + | 0.998420i | ||||
\(792\) | −19.6750 | + | 148.974i | −0.699122 | + | 5.29356i | ||||
\(793\) | −3.46372 | + | 4.12790i | −0.123000 | + | 0.146586i | ||||
\(794\) | 67.4839 | + | 24.5621i | 2.39491 | + | 0.871677i | ||||
\(795\) | −5.55350 | − | 11.2672i | −0.196962 | − | 0.399607i | ||||
\(796\) | 15.8073 | − | 89.6478i | 0.560276 | − | 3.17748i | ||||
\(797\) | −0.398239 | + | 0.689770i | −0.0141064 | + | 0.0244329i | −0.872992 | − | 0.487734i | \(-0.837824\pi\) |
0.858886 | + | 0.512167i | \(0.171157\pi\) | |||||||
\(798\) | 64.7899 | + | 5.89312i | 2.29354 | + | 0.208614i | ||||
\(799\) | 8.81540 | + | 15.2687i | 0.311866 | + | 0.540169i | ||||
\(800\) | 53.9135 | − | 19.6229i | 1.90613 | − | 0.693775i | ||||
\(801\) | −42.7455 | + | 27.2072i | −1.51034 | + | 0.961320i | ||||
\(802\) | −52.8409 | + | 44.3388i | −1.86588 | + | 1.56566i | ||||
\(803\) | 66.4688 | + | 11.7202i | 2.34563 | + | 0.413599i | ||||
\(804\) | 15.7430 | − | 4.58516i | 0.555213 | − | 0.161706i | ||||
\(805\) | 0.616031 | 0.0217122 | ||||||||
\(806\) | −1.70438 | − | 2.95208i | −0.0600344 | − | 0.103983i | ||||
\(807\) | 8.15777 | − | 8.51822i | 0.287167 | − | 0.299855i | ||||
\(808\) | 41.9770 | − | 7.40167i | 1.47674 | − | 0.260390i | ||||
\(809\) | 37.0520 | + | 21.3920i | 1.30268 | + | 0.752102i | 0.980863 | − | 0.194700i | \(-0.0623735\pi\) |
0.321816 | + | 0.946802i | \(0.395707\pi\) | |||||||
\(810\) | −7.61203 | − | 16.3591i | −0.267460 | − | 0.574801i | ||||
\(811\) | −21.3317 | + | 3.76136i | −0.749058 | + | 0.132079i | −0.535130 | − | 0.844770i | \(-0.679737\pi\) |
−0.213929 | + | 0.976849i | \(0.568626\pi\) | |||||||
\(812\) | −13.0628 | + | 74.0830i | −0.458416 | + | 2.59980i | ||||
\(813\) | 7.01564 | + | 24.0880i | 0.246049 | + | 0.844802i | ||||
\(814\) | 55.8422 | + | 46.8572i | 1.95727 | + | 1.64234i | ||||
\(815\) | −0.724271 | − | 0.127709i | −0.0253701 | − | 0.00447344i | ||||
\(816\) | 4.90073 | + | 44.8333i | 0.171560 | + | 1.56948i | ||||
\(817\) | 0.401813 | − | 16.0353i | 0.0140577 | − | 0.561006i | ||||
\(818\) | − | 0.00986566i | − | 0.000344945i | ||||||
\(819\) | −3.90712 | + | 7.49799i | −0.136526 | + | 0.262001i | ||||
\(820\) | 7.21024 | + | 1.27136i | 0.251793 | + | 0.0443978i | ||||
\(821\) | −7.03183 | + | 19.3198i | −0.245412 | + | 0.674265i | 0.754428 | + | 0.656383i | \(0.227915\pi\) |
−0.999840 | + | 0.0178820i | \(0.994308\pi\) | |||||||
\(822\) | −4.54224 | − | 0.298651i | −0.158429 | − | 0.0104166i | ||||
\(823\) | 32.7065 | + | 11.9042i | 1.14008 | + | 0.414954i | 0.841941 | − | 0.539570i | \(-0.181413\pi\) |
0.298135 | + | 0.954524i | \(0.403635\pi\) | |||||||
\(824\) | − | 92.1168i | − | 3.20904i | ||||||
\(825\) | 5.28850 | + | 48.3807i | 0.184122 | + | 1.68440i | ||||
\(826\) | 5.56367 | + | 31.5531i | 0.193585 | + | 1.09787i | ||||
\(827\) | −30.4794 | − | 11.0936i | −1.05987 | − | 0.385762i | −0.247492 | − | 0.968890i | \(-0.579606\pi\) |
−0.812380 | + | 0.583128i | \(0.801829\pi\) | |||||||
\(828\) | −2.74679 | + | 2.51489i | −0.0954574 | + | 0.0873985i | ||||
\(829\) | 25.0414 | − | 14.4577i | 0.869724 | − | 0.502135i | 0.00246760 | − | 0.999997i | \(-0.499215\pi\) |
0.867257 | + | 0.497861i | \(0.165881\pi\) | |||||||
\(830\) | −11.0110 | + | 9.23935i | −0.382198 | + | 0.320703i | ||||
\(831\) | −12.3920 | − | 8.28373i | −0.429873 | − | 0.287359i | ||||
\(832\) | −10.6563 | + | 1.87900i | −0.369442 | + | 0.0651426i | ||||
\(833\) | −5.58872 | + | 6.66038i | −0.193638 | + | 0.230768i | ||||
\(834\) | 3.05769 | − | 46.5051i | 0.105879 | − | 1.61034i | ||||
\(835\) | 5.15310 | − | 2.97514i | 0.178330 | − | 0.102959i | ||||
\(836\) | −130.799 | + | 43.9288i | −4.52379 | + | 1.51931i | ||||
\(837\) | −7.60402 | − | 1.51740i | −0.262833 | − | 0.0524491i | ||||
\(838\) | −0.568612 | − | 1.56225i | −0.0196424 | − | 0.0539670i | ||||
\(839\) | 20.4668 | − | 7.44929i | 0.706591 | − | 0.257178i | 0.0363688 | − | 0.999338i | \(-0.488421\pi\) |
0.670222 | + | 0.742160i | \(0.266199\pi\) | |||||||
\(840\) | 32.4419 | − | 9.44872i | 1.11935 | − | 0.326012i | ||||
\(841\) | 7.11817 | − | 2.59080i | 0.245454 | − | 0.0893380i | ||||
\(842\) | −7.13078 | + | 19.5917i | −0.245743 | + | 0.675173i | ||||
\(843\) | −19.8252 | − | 27.0497i | −0.682815 | − | 0.931643i | ||||
\(844\) | − | 71.5389i | − | 2.46247i | ||||||
\(845\) | 3.17908 | − | 8.73445i | 0.109364 | − | 0.300474i | ||||
\(846\) | −7.64421 | + | 57.8799i | −0.262813 | + | 1.98995i | ||||
\(847\) | 47.8193 | − | 82.8255i | 1.64309 | − | 2.84592i | ||||
\(848\) | −51.9858 | + | 90.0420i | −1.78520 | + | 3.09205i | ||||
\(849\) | 8.87904 | − | 9.27136i | 0.304728 | − | 0.318192i | ||||
\(850\) | 9.57542 | + | 26.3083i | 0.328434 | + | 0.902366i | ||||
\(851\) | 0.187840 | + | 1.06529i | 0.00643907 | + | 0.0365178i | ||||
\(852\) | 6.45830 | − | 3.18323i | 0.221258 | − | 0.109056i | ||||
\(853\) | 5.48975 | + | 4.60645i | 0.187965 | + | 0.157722i | 0.731914 | − | 0.681397i | \(-0.238627\pi\) |
−0.543949 | + | 0.839118i | \(0.683071\pi\) | |||||||
\(854\) | −53.7207 | −1.83828 | ||||||||
\(855\) | 6.23730 | − | 7.71372i | 0.213311 | − | 0.263804i | ||||
\(856\) | −75.4486 | −2.57878 | ||||||||
\(857\) | 2.33414 | + | 1.95858i | 0.0797327 | + | 0.0669037i | 0.681783 | − | 0.731555i | \(-0.261205\pi\) |
−0.602050 | + | 0.798458i | \(0.705649\pi\) | |||||||
\(858\) | 1.64854 | − | 25.0729i | 0.0562801 | − | 0.855975i | ||||
\(859\) | 5.10180 | + | 28.9337i | 0.174071 | + | 0.987206i | 0.939211 | + | 0.343342i | \(0.111559\pi\) |
−0.765139 | + | 0.643865i | \(0.777330\pi\) | |||||||
\(860\) | −4.75897 | − | 13.0752i | −0.162279 | − | 0.445859i | ||||
\(861\) | −10.6214 | − | 2.60134i | −0.361975 | − | 0.0886536i | ||||
\(862\) | 1.39614 | − | 2.41819i | 0.0475529 | − | 0.0823640i | ||||
\(863\) | −5.22563 | + | 9.05105i | −0.177882 | + | 0.308101i | −0.941155 | − | 0.337975i | \(-0.890258\pi\) |
0.763273 | + | 0.646077i | \(0.223591\pi\) | |||||||
\(864\) | −34.9900 | + | 57.5818i | −1.19039 | + | 1.95897i | ||||
\(865\) | 0.788397 | − | 2.16610i | 0.0268063 | − | 0.0736497i | ||||
\(866\) | − | 38.6645i | − | 1.31387i | ||||||
\(867\) | 19.4002 | − | 2.12064i | 0.658865 | − | 0.0720206i | ||||
\(868\) | 8.29467 | − | 22.7894i | 0.281539 | − | 0.773523i | ||||
\(869\) | 79.0028 | − | 28.7547i | 2.67999 | − | 0.975436i | ||||
\(870\) | 11.6083 | + | 11.1171i | 0.393557 | + | 0.376904i | ||||
\(871\) | −1.54267 | + | 0.561487i | −0.0522715 | + | 0.0190253i | ||||
\(872\) | 14.1537 | + | 38.8870i | 0.479305 | + | 1.31688i | ||||
\(873\) | 31.8955 | + | 10.0710i | 1.07950 | + | 0.340852i | ||||
\(874\) | −2.67060 | − | 1.04850i | −0.0903343 | − | 0.0354661i | ||||
\(875\) | 20.1881 | − | 11.6556i | 0.682483 | − | 0.394032i | ||||
\(876\) | 76.2785 | + | 50.9903i | 2.57721 | + | 1.72280i | ||||
\(877\) | −29.1626 | + | 34.7547i | −0.984752 | + | 1.17358i | 6.70241e−5 | 1.00000i | \(0.499979\pi\) | |
−0.984819 | + | 0.173582i | \(0.944466\pi\) | |||||||
\(878\) | 70.8645 | − | 12.4953i | 2.39156 | − | 0.421697i | ||||
\(879\) | 2.08819 | − | 31.7597i | 0.0704329 | − | 1.07123i | ||||
\(880\) | −40.1359 | + | 33.6780i | −1.35298 | + | 1.13529i | ||||
\(881\) | −41.1563 | + | 23.7616i | −1.38659 | + | 0.800549i | −0.992929 | − | 0.118706i | \(-0.962125\pi\) |
−0.393662 | + | 0.919255i | \(0.628792\pi\) | |||||||
\(882\) | −28.1110 | + | 6.21996i | −0.946547 | + | 0.209437i | ||||
\(883\) | −8.75647 | − | 3.18710i | −0.294679 | − | 0.107254i | 0.190450 | − | 0.981697i | \(-0.439005\pi\) |
−0.485129 | + | 0.874443i | \(0.661227\pi\) | |||||||
\(884\) | −1.79122 | − | 10.1585i | −0.0602454 | − | 0.341669i | ||||
\(885\) | 4.47130 | + | 1.96851i | 0.150301 | + | 0.0661708i | ||||
\(886\) | 73.5204i | 2.46997i | ||||||||
\(887\) | −38.3310 | − | 13.9514i | −1.28703 | − | 0.468441i | −0.394279 | − | 0.918991i | \(-0.629006\pi\) |
−0.892751 | + | 0.450550i | \(0.851228\pi\) | |||||||
\(888\) | 26.2317 | + | 53.2201i | 0.880278 | + | 1.78595i | ||||
\(889\) | −12.5199 | + | 34.3982i | −0.419905 | + | 1.15368i | ||||
\(890\) | −33.3467 | − | 5.87993i | −1.11779 | − | 0.197096i | ||||
\(891\) | −40.3826 | − | 40.4490i | −1.35287 | − | 1.35509i | ||||
\(892\) | − | 5.13504i | − | 0.171934i | ||||||
\(893\) | −30.4275 | + | 10.2191i | −1.01822 | + | 0.341968i | ||||
\(894\) | −88.4973 | − | 38.9614i | −2.95979 | − | 1.30307i | ||||
\(895\) | 1.53268 | + | 0.270253i | 0.0512318 | + | 0.00903355i | ||||
\(896\) | −17.8600 | − | 14.9863i | −0.596661 | − | 0.500658i | ||||
\(897\) | 0.257896 | − | 0.269291i | 0.00861089 | − | 0.00899135i | ||||
\(898\) | −5.10539 | + | 28.9541i | −0.170369 | + | 0.966211i | ||||
\(899\) | 6.80225 | − | 1.19942i | 0.226868 | − | 0.0400029i | ||||
\(900\) | −19.9208 | + | 63.0905i | −0.664028 | + | 2.10302i | ||||
\(901\) | −19.8233 | − | 11.4450i | −0.660409 | − | 0.381287i | ||||
\(902\) | 32.0048 | − | 5.64331i | 1.06564 | − | 0.187902i | ||||
\(903\) | 5.81139 | + | 19.9532i | 0.193391 | + | 0.664001i | ||||
\(904\) | −39.2163 | − | 67.9246i | −1.30431 | − | 2.25914i | ||||
\(905\) | 0.696344 | 0.0231473 | ||||||||
\(906\) | −23.0223 | − | 22.0481i | −0.764866 | − | 0.732501i | ||||
\(907\) | −7.49873 | − | 1.32223i | −0.248991 | − | 0.0439039i | 0.0477594 | − | 0.998859i | \(-0.484792\pi\) |
−0.296751 | + | 0.954955i | \(0.595903\pi\) | |||||||
\(908\) | 38.1075 | − | 31.9760i | 1.26464 | − | 1.06116i | ||||
\(909\) | −7.49219 | + | 14.3779i | −0.248500 | + | 0.476886i | ||||
\(910\) | −5.30944 | + | 1.93248i | −0.176006 | + | 0.0640610i | ||||
\(911\) | −20.3397 | − | 35.2294i | −0.673884 | − | 1.16720i | −0.976794 | − | 0.214182i | \(-0.931292\pi\) |
0.302910 | − | 0.953019i | \(-0.402042\pi\) | |||||||
\(912\) | −81.7697 | − | 7.43757i | −2.70767 | − | 0.246283i | ||||
\(913\) | −22.7663 | + | 39.4324i | −0.753455 | + | 1.30502i | ||||
\(914\) | −0.663809 | + | 3.76465i | −0.0219568 | + | 0.124523i | ||||
\(915\) | −4.55226 | + | 6.80991i | −0.150493 | + | 0.225129i | ||||
\(916\) | 22.8774 | + | 8.32668i | 0.755889 | + | 0.275121i | ||||
\(917\) | −29.0835 | + | 34.6604i | −0.960422 | + | 1.14459i | ||||
\(918\) | −28.0983 | − | 17.0742i | −0.927382 | − | 0.563531i | ||||
\(919\) | 6.55406 | + | 11.3520i | 0.216198 | + | 0.374467i | 0.953643 | − | 0.300941i | \(-0.0973008\pi\) |
−0.737444 | + | 0.675408i | \(0.763968\pi\) | |||||||
\(920\) | −1.49014 | −0.0491286 | ||||||||
\(921\) | −4.99307 | − | 4.78179i | −0.164527 | − | 0.157565i | ||||
\(922\) | 33.2649 | + | 39.6436i | 1.09552 | + | 1.30559i | ||||
\(923\) | −0.624301 | + | 0.360440i | −0.0205491 | + | 0.0118640i | ||||
\(924\) | 144.189 | − | 105.678i | 4.74346 | − | 3.47655i | ||||
\(925\) | 12.3525 | + | 14.7211i | 0.406148 | + | 0.484028i | ||||
\(926\) | 0.852905 | + | 0.715673i | 0.0280282 | + | 0.0235185i | ||||
\(927\) | 27.7888 | + | 21.3412i | 0.912704 | + | 0.700938i | ||||
\(928\) | 10.4226 | − | 59.1094i | 0.342138 | − | 1.94036i | ||||
\(929\) | 13.0106 | − | 15.5054i | 0.426864 | − | 0.508716i | −0.509151 | − | 0.860677i | \(-0.670041\pi\) |
0.936015 | + | 0.351961i | \(0.114485\pi\) | |||||||
\(930\) | −3.06316 | − | 4.17942i | −0.100445 | − | 0.137049i | ||||
\(931\) | −9.86759 | − | 12.3766i | −0.323397 | − | 0.405627i | ||||
\(932\) | −51.6453 | − | 29.8174i | −1.69170 | − | 0.976703i | ||||
\(933\) | −23.5465 | + | 35.2242i | −0.770878 | + | 1.15319i | ||||
\(934\) | 11.9099 | + | 32.7222i | 0.389704 | + | 1.07070i | ||||
\(935\) | −7.41442 | − | 8.83617i | −0.242478 | − | 0.288974i | ||||
\(936\) | 9.45110 | − | 18.1372i | 0.308919 | − | 0.592833i | ||||
\(937\) | −5.49239 | − | 31.1489i | −0.179429 | − | 1.01759i | −0.932907 | − | 0.360117i | \(-0.882737\pi\) |
0.753478 | − | 0.657473i | \(-0.228374\pi\) | |||||||
\(938\) | −14.1737 | − | 8.18322i | −0.462789 | − | 0.267192i | ||||
\(939\) | −21.3242 | + | 48.4359i | −0.695888 | + | 1.58065i | ||||
\(940\) | −21.3292 | + | 17.8973i | −0.695682 | + | 0.583746i | ||||
\(941\) | −35.7924 | + | 30.0334i | −1.16680 | + | 0.979060i | −0.999976 | − | 0.00692694i | \(-0.997795\pi\) |
−0.166822 | + | 0.985987i | \(0.553351\pi\) | |||||||
\(942\) | 42.8781 | + | 58.5035i | 1.39704 | + | 1.90615i | ||||
\(943\) | 0.417641 | + | 0.241125i | 0.0136003 | + | 0.00785211i | ||||
\(944\) | −7.02177 | − | 39.8224i | −0.228539 | − | 1.29611i | ||||
\(945\) | −4.66561 | + | 11.9758i | −0.151772 | + | 0.389571i | ||||
\(946\) | −39.7003 | − | 47.3129i | −1.29077 | − | 1.53828i | ||||
\(947\) | −7.82974 | − | 21.5120i | −0.254432 | − | 0.699047i | −0.999486 | − | 0.0320429i | \(-0.989799\pi\) |
0.745054 | − | 0.667004i | \(-0.232424\pi\) | |||||||
\(948\) | 114.043 | + | 7.49829i | 3.70395 | + | 0.243533i | ||||
\(949\) | −7.95547 | − | 4.59310i | −0.258246 | − | 0.149098i | ||||
\(950\) | −50.4009 | + | 7.59055i | −1.63522 | + | 0.246270i | ||||
\(951\) | 55.1444 | − | 6.02784i | 1.78818 | − | 0.195466i | ||||
\(952\) | 39.5783 | − | 47.1676i | 1.28274 | − | 1.52871i | ||||
\(953\) | 4.13148 | − | 23.4308i | 0.133832 | − | 0.758998i | −0.841834 | − | 0.539736i | \(-0.818524\pi\) |
0.975666 | − | 0.219262i | \(-0.0703649\pi\) | |||||||
\(954\) | −28.9777 | − | 70.0398i | −0.938189 | − | 2.26762i | ||||
\(955\) | −9.33583 | − | 7.83369i | −0.302100 | − | 0.253492i | ||||
\(956\) | −10.8109 | − | 12.8839i | −0.349649 | − | 0.416696i | ||||
\(957\) | 46.5988 | + | 20.5154i | 1.50632 | + | 0.663168i | ||||
\(958\) | 36.8087 | − | 21.2515i | 1.18924 | − | 0.686605i | ||||
\(959\) | 2.08422 | + | 2.48388i | 0.0673031 | + | 0.0802087i | ||||
\(960\) | −15.7926 | + | 4.59962i | −0.509706 | + | 0.148452i | ||||
\(961\) | 28.7732 | 0.928168 | ||||||||
\(962\) | −4.96075 | − | 8.59227i | −0.159941 | − | 0.277026i | ||||
\(963\) | 17.4796 | − | 22.7605i | 0.563273 | − | 0.733447i | ||||
\(964\) | 49.6322 | − | 59.1494i | 1.59855 | − | 1.90507i | ||||
\(965\) | 13.1129 | + | 4.77272i | 0.422120 | + | 0.153639i | ||||
\(966\) | 3.70920 | + | 0.243878i | 0.119341 | + | 0.00784666i | ||||
\(967\) | −5.25014 | + | 29.7750i | −0.168833 | + | 0.957500i | 0.776191 | + | 0.630498i | \(0.217149\pi\) |
−0.945024 | + | 0.327002i | \(0.893962\pi\) | |||||||
\(968\) | −115.672 | + | 200.350i | −3.71785 | + | 6.43950i | ||||
\(969\) | 1.63743 | − | 18.0021i | 0.0526017 | − | 0.578311i | ||||
\(970\) | 11.1761 | + | 19.3576i | 0.358843 | + | 0.621534i | ||||
\(971\) | 46.8984 | − | 17.0696i | 1.50504 | − | 0.547791i | 0.547682 | − | 0.836686i | \(-0.315510\pi\) |
0.957361 | + | 0.288896i | \(0.0932881\pi\) | |||||||
\(972\) | −28.0867 | − | 72.4449i | −0.900882 | − | 2.32367i | ||||
\(973\) | −25.4309 | + | 21.3390i | −0.815276 | + | 0.684098i | ||||
\(974\) | −11.1676 | − | 1.96915i | −0.357833 | − | 0.0630956i | ||||
\(975\) | 1.57575 | − | 6.43385i | 0.0504645 | − | 0.206048i | ||||
\(976\) | 67.7996 | 2.17021 | ||||||||
\(977\) | 10.7428 | + | 18.6071i | 0.343693 | + | 0.595293i | 0.985115 | − | 0.171894i | \(-0.0549888\pi\) |
−0.641423 | + | 0.767188i | \(0.721655\pi\) | |||||||
\(978\) | −4.31037 | − | 1.05568i | −0.137830 | − | 0.0337568i | ||||
\(979\) | −105.634 | + | 18.6260i | −3.37606 | + | 0.595291i | ||||
\(980\) | −11.8912 | − | 6.86536i | −0.379849 | − | 0.219306i | ||||
\(981\) | −15.0101 | − | 4.73943i | −0.479234 | − | 0.151318i | ||||
\(982\) | 24.7101 | − | 4.35706i | 0.788531 | − | 0.139039i | ||||
\(983\) | −9.65641 | + | 54.7642i | −0.307992 | + | 1.74671i | 0.301086 | + | 0.953597i | \(0.402651\pi\) |
−0.609078 | + | 0.793110i | \(0.708460\pi\) | |||||||
\(984\) | 25.6925 | + | 6.29250i | 0.819047 | + | 0.200598i | ||||
\(985\) | 3.38876 | + | 2.84351i | 0.107975 | + | 0.0906017i | ||||
\(986\) | 28.8437 | + | 5.08592i | 0.918571 | + | 0.161969i | ||||
\(987\) | 33.5423 | − | 24.5836i | 1.06766 | − | 0.782505i | ||||
\(988\) | 18.7735 | + | 0.470426i | 0.597265 | + | 0.0149662i | ||||
\(989\) | − | 0.916505i | − | 0.0291432i | ||||||
\(990\) | −1.65043 | − | 38.1606i | −0.0524541 | − | 1.21282i | ||||
\(991\) | 5.42317 | + | 0.956250i | 0.172273 | + | 0.0303763i | 0.259119 | − | 0.965845i | \(-0.416568\pi\) |
−0.0868464 | + | 0.996222i | \(0.527679\pi\) | |||||||
\(992\) | −6.61815 | + | 18.1832i | −0.210127 | + | 0.577318i | ||||
\(993\) | 18.5230 | − | 27.7093i | 0.587810 | − | 0.879329i | ||||
\(994\) | −6.75328 | − | 2.45799i | −0.214201 | − | 0.0779628i | ||||
\(995\) | 13.8544i | 0.439213i | ||||||||
\(996\) | −49.9242 | + | 36.5902i | −1.58191 | + | 1.15940i | ||||
\(997\) | 6.20121 | + | 35.1688i | 0.196394 | + | 1.11381i | 0.910419 | + | 0.413687i | \(0.135759\pi\) |
−0.714025 | + | 0.700121i | \(0.753130\pi\) | |||||||
\(998\) | 3.80030 | + | 1.38320i | 0.120297 | + | 0.0437844i | ||||
\(999\) | −22.1321 | − | 4.41652i | −0.700229 | − | 0.139733i |
(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 | 171.2.x.a.14.1 | ✓ | 108 | |
3.2 | odd | 2 | 513.2.bo.a.71.18 | 108 | |||
9.2 | odd | 6 | 171.2.bd.a.128.18 | yes | 108 | ||
9.7 | even | 3 | 513.2.cd.a.413.1 | 108 | |||
19.15 | odd | 18 | 171.2.bd.a.167.18 | yes | 108 | ||
57.53 | even | 18 | 513.2.cd.a.395.1 | 108 | |||
171.34 | odd | 18 | 513.2.bo.a.224.18 | 108 | |||
171.110 | even | 18 | inner | 171.2.x.a.110.1 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.1 | ✓ | 108 | 1.1 | even | 1 | trivial | |
171.2.x.a.110.1 | yes | 108 | 171.110 | even | 18 | inner | |
171.2.bd.a.128.18 | yes | 108 | 9.2 | odd | 6 | ||
171.2.bd.a.167.18 | yes | 108 | 19.15 | odd | 18 | ||
513.2.bo.a.71.18 | 108 | 3.2 | odd | 2 | |||
513.2.bo.a.224.18 | 108 | 171.34 | odd | 18 | |||
513.2.cd.a.395.1 | 108 | 57.53 | even | 18 | |||
513.2.cd.a.413.1 | 108 | 9.7 | even | 3 |