Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(25,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.w (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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 277.2 | ||
Character | \(\chi\) | \(=\) | 378.277 |
Dual form | 378.2.w.a.247.2 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | −1.48870 | − | 0.885314i | −0.859500 | − | 0.511136i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 2.34213 | − | 1.96528i | 1.04743 | − | 0.878900i | 0.0546108 | − | 0.998508i | \(-0.482608\pi\) |
0.992821 | + | 0.119608i | \(0.0381638\pi\) | |||||||
\(6\) | −0.571340 | − | 1.63511i | −0.233248 | − | 0.667529i | ||||
\(7\) | −0.657693 | − | 2.56270i | −0.248585 | − | 0.968610i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 1.43244 | + | 2.63593i | 0.477480 | + | 0.878643i | ||||
\(10\) | 3.05743 | 0.966845 | ||||||||
\(11\) | −4.17242 | − | 3.50108i | −1.25803 | − | 1.05561i | −0.995889 | − | 0.0905860i | \(-0.971126\pi\) |
−0.262144 | − | 0.965029i | \(-0.584430\pi\) | |||||||
\(12\) | 0.613354 | − | 1.61981i | 0.177060 | − | 0.467600i | ||||
\(13\) | −4.37538 | − | 1.59251i | −1.21351 | − | 0.441682i | −0.345591 | − | 0.938385i | \(-0.612322\pi\) |
−0.867921 | + | 0.496703i | \(0.834544\pi\) | |||||||
\(14\) | 1.14345 | − | 2.38590i | 0.305600 | − | 0.637659i | ||||
\(15\) | −5.22661 | + | 0.852188i | −1.34950 | + | 0.220034i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 4.60615 | 1.11716 | 0.558578 | − | 0.829452i | \(-0.311347\pi\) | ||||
0.558578 | + | 0.829452i | \(0.311347\pi\) | |||||||
\(18\) | −0.597029 | + | 2.93999i | −0.140721 | + | 0.692963i | ||||
\(19\) | 6.74710 | 1.54789 | 0.773945 | − | 0.633253i | \(-0.218281\pi\) | ||||
0.773945 | + | 0.633253i | \(0.218281\pi\) | |||||||
\(20\) | 2.34213 | + | 1.96528i | 0.523716 | + | 0.439450i | ||||
\(21\) | −1.28969 | + | 4.39735i | −0.281433 | + | 0.959581i | ||||
\(22\) | −0.945811 | − | 5.36396i | −0.201648 | − | 1.14360i | ||||
\(23\) | −0.904876 | − | 0.329348i | −0.188680 | − | 0.0686738i | 0.245952 | − | 0.969282i | \(-0.420899\pi\) |
−0.434632 | + | 0.900608i | \(0.643122\pi\) | |||||||
\(24\) | 1.51105 | − | 0.846593i | 0.308442 | − | 0.172810i | ||||
\(25\) | 0.755004 | − | 4.28184i | 0.151001 | − | 0.856368i | ||||
\(26\) | −2.32809 | − | 4.03237i | −0.456576 | − | 0.790813i | ||||
\(27\) | 0.201154 | − | 5.19226i | 0.0387120 | − | 0.999250i | ||||
\(28\) | 2.40956 | − | 1.09271i | 0.455364 | − | 0.206503i | ||||
\(29\) | 3.72984 | − | 1.35755i | 0.692613 | − | 0.252091i | 0.0283595 | − | 0.999598i | \(-0.490972\pi\) |
0.664254 | + | 0.747507i | \(0.268749\pi\) | |||||||
\(30\) | −4.55159 | − | 2.70679i | −0.831003 | − | 0.494189i | ||||
\(31\) | −0.672677 | − | 3.81494i | −0.120816 | − | 0.685184i | −0.983705 | − | 0.179790i | \(-0.942458\pi\) |
0.862889 | − | 0.505394i | \(-0.168653\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 3.11192 | + | 8.90595i | 0.541716 | + | 1.55033i | ||||
\(34\) | 3.52852 | + | 2.96078i | 0.605136 | + | 0.507769i | ||||
\(35\) | −6.57683 | − | 4.70963i | −1.11169 | − | 0.796072i | ||||
\(36\) | −2.34714 | + | 1.86840i | −0.391190 | + | 0.311400i | ||||
\(37\) | −0.518009 | + | 0.897218i | −0.0851602 | + | 0.147502i | −0.905459 | − | 0.424433i | \(-0.860474\pi\) |
0.820299 | + | 0.571935i | \(0.193807\pi\) | |||||||
\(38\) | 5.16858 | + | 4.33695i | 0.838454 | + | 0.703546i | ||||
\(39\) | 5.10375 | + | 6.24435i | 0.817254 | + | 0.999896i | ||||
\(40\) | 0.530918 | + | 3.01098i | 0.0839454 | + | 0.476078i | ||||
\(41\) | 7.97416 | + | 2.90236i | 1.24535 | + | 0.453272i | 0.878829 | − | 0.477136i | \(-0.158325\pi\) |
0.366525 | + | 0.930408i | \(0.380547\pi\) | |||||||
\(42\) | −3.81452 | + | 2.53957i | −0.588594 | + | 0.391864i | ||||
\(43\) | 0.852099 | − | 4.83250i | 0.129944 | − | 0.736949i | −0.848304 | − | 0.529510i | \(-0.822376\pi\) |
0.978248 | − | 0.207439i | \(-0.0665129\pi\) | |||||||
\(44\) | 2.72336 | − | 4.71699i | 0.410561 | − | 0.711113i | ||||
\(45\) | 8.53529 | + | 3.35854i | 1.27237 | + | 0.500661i | ||||
\(46\) | −0.481474 | − | 0.833938i | −0.0709895 | − | 0.122957i | ||||
\(47\) | −2.33117 | + | 13.2207i | −0.340036 | + | 1.92844i | 0.0302979 | + | 0.999541i | \(0.490354\pi\) |
−0.370334 | + | 0.928899i | \(0.620757\pi\) | |||||||
\(48\) | 1.70171 | + | 0.322758i | 0.245621 | + | 0.0465861i | ||||
\(49\) | −6.13488 | + | 3.37094i | −0.876411 | + | 0.481563i | ||||
\(50\) | 3.33068 | − | 2.79477i | 0.471029 | − | 0.395240i | ||||
\(51\) | −6.85717 | − | 4.07789i | −0.960196 | − | 0.571019i | ||||
\(52\) | 0.808538 | − | 4.58544i | 0.112124 | − | 0.635887i | ||||
\(53\) | −6.76390 | + | 11.7154i | −0.929093 | + | 1.60924i | −0.144250 | + | 0.989541i | \(0.546077\pi\) |
−0.784843 | + | 0.619695i | \(0.787256\pi\) | |||||||
\(54\) | 3.49161 | − | 3.84820i | 0.475148 | − | 0.523674i | ||||
\(55\) | −16.6529 | −2.24548 | ||||||||
\(56\) | 2.54821 | + | 0.711772i | 0.340519 | + | 0.0951145i | ||||
\(57\) | −10.0444 | − | 5.97330i | −1.33041 | − | 0.791183i | ||||
\(58\) | 3.72984 | + | 1.35755i | 0.489751 | + | 0.178255i | ||||
\(59\) | 2.64162 | + | 0.961470i | 0.343909 | + | 0.125173i | 0.508200 | − | 0.861239i | \(-0.330311\pi\) |
−0.164290 | + | 0.986412i | \(0.552533\pi\) | |||||||
\(60\) | −1.74683 | − | 4.99923i | −0.225515 | − | 0.645397i | ||||
\(61\) | 0.771995 | − | 4.37820i | 0.0988438 | − | 0.560571i | −0.894658 | − | 0.446752i | \(-0.852581\pi\) |
0.993502 | − | 0.113819i | \(-0.0363084\pi\) | |||||||
\(62\) | 1.93690 | − | 3.35480i | 0.245986 | − | 0.426060i | ||||
\(63\) | 5.81299 | − | 5.40455i | 0.732368 | − | 0.680909i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −13.3774 | + | 4.86899i | −1.65927 | + | 0.603923i | ||||
\(66\) | −3.34076 | + | 8.82266i | −0.411219 | + | 1.08599i | ||||
\(67\) | 1.36515 | − | 1.14550i | 0.166780 | − | 0.139945i | −0.555578 | − | 0.831465i | \(-0.687503\pi\) |
0.722358 | + | 0.691520i | \(0.243058\pi\) | |||||||
\(68\) | 0.799850 | + | 4.53618i | 0.0969961 | + | 0.550092i | ||||
\(69\) | 1.05551 | + | 1.29140i | 0.127069 | + | 0.155466i | ||||
\(70\) | −2.01085 | − | 7.83529i | −0.240343 | − | 0.936496i | ||||
\(71\) | 5.98189 | + | 10.3609i | 0.709920 | + | 1.22962i | 0.964886 | + | 0.262667i | \(0.0846022\pi\) |
−0.254967 | + | 0.966950i | \(0.582064\pi\) | |||||||
\(72\) | −2.99900 | − | 0.0774348i | −0.353436 | − | 0.00912578i | ||||
\(73\) | −1.72236 | − | 2.98322i | −0.201587 | − | 0.349159i | 0.747453 | − | 0.664315i | \(-0.231277\pi\) |
−0.949040 | + | 0.315156i | \(0.897943\pi\) | |||||||
\(74\) | −0.973539 | + | 0.354339i | −0.113172 | + | 0.0411911i | ||||
\(75\) | −4.91474 | + | 5.70595i | −0.567506 | + | 0.658866i | ||||
\(76\) | 1.17162 | + | 6.64459i | 0.134394 | + | 0.762187i | ||||
\(77\) | −6.22804 | + | 12.9953i | −0.709752 | + | 1.48095i | ||||
\(78\) | −0.104091 | + | 8.06407i | −0.0117859 | + | 0.913076i | ||||
\(79\) | 1.39427 | + | 1.16993i | 0.156868 | + | 0.131628i | 0.717843 | − | 0.696205i | \(-0.245129\pi\) |
−0.560976 | + | 0.827832i | \(0.689574\pi\) | |||||||
\(80\) | −1.52872 | + | 2.64781i | −0.170916 | + | 0.296035i | ||||
\(81\) | −4.89623 | + | 7.55162i | −0.544026 | + | 0.839068i | ||||
\(82\) | 4.24296 | + | 7.34903i | 0.468557 | + | 0.811564i | ||||
\(83\) | −2.94898 | + | 1.07334i | −0.323693 | + | 0.117815i | −0.498755 | − | 0.866743i | \(-0.666209\pi\) |
0.175063 | + | 0.984557i | \(0.443987\pi\) | |||||||
\(84\) | −4.55450 | − | 0.506503i | −0.496937 | − | 0.0552640i | ||||
\(85\) | 10.7882 | − | 9.05238i | 1.17015 | − | 0.981868i | ||||
\(86\) | 3.75901 | − | 3.15419i | 0.405345 | − | 0.340125i | ||||
\(87\) | −6.75445 | − | 1.28109i | −0.724154 | − | 0.137348i | ||||
\(88\) | 5.11823 | − | 1.86288i | 0.545606 | − | 0.198584i | ||||
\(89\) | 7.13139 | 0.755926 | 0.377963 | − | 0.925821i | \(-0.376625\pi\) | ||||
0.377963 | + | 0.925821i | \(0.376625\pi\) | |||||||
\(90\) | 4.37959 | + | 8.05917i | 0.461649 | + | 0.849511i | ||||
\(91\) | −1.20347 | + | 12.2602i | −0.126157 | + | 1.28522i | ||||
\(92\) | 0.167214 | − | 0.948320i | 0.0174333 | − | 0.0988691i | ||||
\(93\) | −2.37601 | + | 6.27482i | −0.246380 | + | 0.650669i | ||||
\(94\) | −10.2839 | + | 8.62921i | −1.06070 | + | 0.890035i | ||||
\(95\) | 15.8026 | − | 13.2599i | 1.62131 | − | 1.36044i | ||||
\(96\) | 1.09612 | + | 1.34109i | 0.111873 | + | 0.136874i | ||||
\(97\) | 1.32189 | − | 7.49681i | 0.134218 | − | 0.761186i | −0.841184 | − | 0.540750i | \(-0.818141\pi\) |
0.975401 | − | 0.220437i | \(-0.0707482\pi\) | |||||||
\(98\) | −6.86639 | − | 1.36113i | −0.693610 | − | 0.137495i | ||||
\(99\) | 3.25185 | − | 16.0133i | 0.326823 | − | 1.60940i | ||||
\(100\) | 4.34789 | 0.434789 | ||||||||
\(101\) | 4.80375 | − | 1.74842i | 0.477991 | − | 0.173975i | −0.0917778 | − | 0.995780i | \(-0.529255\pi\) |
0.569769 | + | 0.821805i | \(0.307033\pi\) | |||||||
\(102\) | −2.63168 | − | 7.53155i | −0.260575 | − | 0.745734i | ||||
\(103\) | 8.60701 | − | 7.22214i | 0.848074 | − | 0.711619i | −0.111290 | − | 0.993788i | \(-0.535498\pi\) |
0.959365 | + | 0.282169i | \(0.0910539\pi\) | |||||||
\(104\) | 3.56684 | − | 2.99294i | 0.349758 | − | 0.293482i | ||||
\(105\) | 5.62141 | + | 12.8338i | 0.548593 | + | 1.25245i | ||||
\(106\) | −12.7120 | + | 4.62678i | −1.23470 | + | 0.449392i | ||||
\(107\) | 0.321419 | + | 0.556713i | 0.0310727 | + | 0.0538195i | 0.881144 | − | 0.472849i | \(-0.156774\pi\) |
−0.850071 | + | 0.526668i | \(0.823441\pi\) | |||||||
\(108\) | 5.14831 | − | 0.703528i | 0.495396 | − | 0.0676970i | ||||
\(109\) | 2.76397 | − | 4.78734i | 0.264741 | − | 0.458544i | −0.702755 | − | 0.711432i | \(-0.748047\pi\) |
0.967496 | + | 0.252888i | \(0.0813803\pi\) | |||||||
\(110\) | −12.7569 | − | 10.7043i | −1.21632 | − | 1.02062i | ||||
\(111\) | 1.56548 | − | 0.877086i | 0.148589 | − | 0.0832493i | ||||
\(112\) | 1.49453 | + | 2.18321i | 0.141219 | + | 0.206294i | ||||
\(113\) | −0.764422 | − | 4.33525i | −0.0719107 | − | 0.407826i | −0.999421 | − | 0.0340281i | \(-0.989166\pi\) |
0.927510 | − | 0.373798i | \(-0.121945\pi\) | |||||||
\(114\) | −3.85489 | − | 11.0322i | −0.361043 | − | 1.03326i | ||||
\(115\) | −2.76660 | + | 1.00696i | −0.257987 | + | 0.0938994i | ||||
\(116\) | 1.98460 | + | 3.43744i | 0.184266 | + | 0.319158i | ||||
\(117\) | −2.06973 | − | 13.8144i | −0.191347 | − | 1.27714i | ||||
\(118\) | 1.40557 | + | 2.43453i | 0.129394 | + | 0.224116i | ||||
\(119\) | −3.02944 | − | 11.8042i | −0.277708 | − | 1.08209i | ||||
\(120\) | 1.87529 | − | 4.95247i | 0.171190 | − | 0.452097i | ||||
\(121\) | 3.24143 | + | 18.3831i | 0.294676 | + | 1.67119i | ||||
\(122\) | 3.40564 | − | 2.85767i | 0.308332 | − | 0.258721i | ||||
\(123\) | −9.30162 | − | 11.3804i | −0.838698 | − | 1.02613i | ||||
\(124\) | 3.64018 | − | 1.32492i | 0.326897 | − | 0.118981i | ||||
\(125\) | 0.996887 | + | 1.72666i | 0.0891643 | + | 0.154437i | ||||
\(126\) | 7.92699 | − | 0.403605i | 0.706192 | − | 0.0359560i | ||||
\(127\) | −7.38173 | + | 12.7855i | −0.655023 | + | 1.13453i | 0.326865 | + | 0.945071i | \(0.394008\pi\) |
−0.981888 | + | 0.189462i | \(0.939326\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −5.54679 | + | 6.43975i | −0.488368 | + | 0.566988i | ||||
\(130\) | −13.3774 | − | 4.86899i | −1.17328 | − | 0.427038i | ||||
\(131\) | −4.17863 | − | 1.52090i | −0.365088 | − | 0.132881i | 0.152961 | − | 0.988232i | \(-0.451119\pi\) |
−0.518049 | + | 0.855351i | \(0.673341\pi\) | |||||||
\(132\) | −8.23027 | + | 4.61115i | −0.716353 | + | 0.401349i | ||||
\(133\) | −4.43752 | − | 17.2908i | −0.384782 | − | 1.49930i | ||||
\(134\) | 1.78208 | 0.153948 | ||||||||
\(135\) | −9.73311 | − | 12.5563i | −0.837693 | − | 1.08067i | ||||
\(136\) | −2.30308 | + | 3.98905i | −0.197487 | + | 0.342058i | ||||
\(137\) | 2.22605 | − | 12.6246i | 0.190185 | − | 1.07859i | −0.728927 | − | 0.684592i | \(-0.759980\pi\) |
0.919111 | − | 0.393998i | \(-0.128908\pi\) | |||||||
\(138\) | −0.0215271 | + | 1.66774i | −0.00183251 | + | 0.141967i | ||||
\(139\) | −9.44108 | + | 7.92201i | −0.800782 | + | 0.671936i | −0.948389 | − | 0.317110i | \(-0.897288\pi\) |
0.147606 | + | 0.989046i | \(0.452843\pi\) | |||||||
\(140\) | 3.49602 | − | 7.29473i | 0.295468 | − | 0.616517i | ||||
\(141\) | 15.1749 | − | 17.6178i | 1.27796 | − | 1.48369i | ||||
\(142\) | −2.07749 | + | 11.7820i | −0.174339 | + | 0.988726i | ||||
\(143\) | 12.6804 | + | 21.9632i | 1.06039 | + | 1.83665i | ||||
\(144\) | −2.24759 | − | 1.98704i | −0.187299 | − | 0.165587i | ||||
\(145\) | 6.06779 | − | 10.5097i | 0.503903 | − | 0.872785i | ||||
\(146\) | 0.598170 | − | 3.39239i | 0.0495049 | − | 0.280756i | ||||
\(147\) | 12.1173 | + | 0.412978i | 0.999420 | + | 0.0340618i | ||||
\(148\) | −0.973539 | − | 0.354339i | −0.0800244 | − | 0.0291265i | ||||
\(149\) | 1.30392 | + | 7.39491i | 0.106821 | + | 0.605814i | 0.990477 | + | 0.137677i | \(0.0439636\pi\) |
−0.883656 | + | 0.468137i | \(0.844925\pi\) | |||||||
\(150\) | −7.43262 | + | 1.21187i | −0.606871 | + | 0.0989491i | ||||
\(151\) | 3.99764 | + | 3.35442i | 0.325323 | + | 0.272979i | 0.790791 | − | 0.612086i | \(-0.209669\pi\) |
−0.465468 | + | 0.885065i | \(0.654114\pi\) | |||||||
\(152\) | −3.37355 | + | 5.84316i | −0.273631 | + | 0.473943i | ||||
\(153\) | 6.59804 | + | 12.1415i | 0.533420 | + | 0.981581i | ||||
\(154\) | −13.1242 | + | 5.95167i | −1.05758 | + | 0.479600i | ||||
\(155\) | −9.07292 | − | 7.61309i | −0.728755 | − | 0.611498i | ||||
\(156\) | −5.26322 | + | 6.11053i | −0.421395 | + | 0.489234i | ||||
\(157\) | −1.71105 | − | 0.622770i | −0.136556 | − | 0.0497025i | 0.272838 | − | 0.962060i | \(-0.412038\pi\) |
−0.409394 | + | 0.912358i | \(0.634260\pi\) | |||||||
\(158\) | 0.316056 | + | 1.79244i | 0.0251440 | + | 0.142599i | ||||
\(159\) | 20.4412 | − | 11.4525i | 1.62109 | − | 0.908245i | ||||
\(160\) | −2.87305 | + | 1.04570i | −0.227134 | + | 0.0826701i | ||||
\(161\) | −0.248890 | + | 2.53554i | −0.0196153 | + | 0.199828i | ||||
\(162\) | −8.60482 | + | 2.63764i | −0.676058 | + | 0.207232i | ||||
\(163\) | −6.78990 | − | 11.7604i | −0.531826 | − | 0.921149i | −0.999310 | − | 0.0371477i | \(-0.988173\pi\) |
0.467484 | − | 0.884002i | \(-0.345161\pi\) | |||||||
\(164\) | −1.47357 | + | 8.35700i | −0.115066 | + | 0.652572i | ||||
\(165\) | 24.7912 | + | 14.7431i | 1.92999 | + | 1.14775i | ||||
\(166\) | −2.94898 | − | 1.07334i | −0.228885 | − | 0.0833075i | ||||
\(167\) | 0.790825 | + | 4.48499i | 0.0611959 | + | 0.347059i | 0.999997 | + | 0.00259845i | \(0.000827113\pi\) |
−0.938801 | + | 0.344461i | \(0.888062\pi\) | |||||||
\(168\) | −3.16337 | − | 3.31558i | −0.244060 | − | 0.255802i | ||||
\(169\) | 6.64929 | + | 5.57942i | 0.511484 | + | 0.429186i | ||||
\(170\) | 14.0830 | 1.08012 | ||||||||
\(171\) | 9.66481 | + | 17.7849i | 0.739087 | + | 1.36004i | ||||
\(172\) | 4.90704 | 0.374159 | ||||||||
\(173\) | 3.74234 | − | 1.36210i | 0.284525 | − | 0.103559i | −0.195815 | − | 0.980641i | \(-0.562735\pi\) |
0.480341 | + | 0.877082i | \(0.340513\pi\) | |||||||
\(174\) | −4.35074 | − | 5.32305i | −0.329829 | − | 0.403540i | ||||
\(175\) | −11.4696 | + | 0.881287i | −0.867023 | + | 0.0666191i | ||||
\(176\) | 5.11823 | + | 1.86288i | 0.385801 | + | 0.140420i | ||||
\(177\) | −3.08137 | − | 3.77000i | −0.231610 | − | 0.283370i | ||||
\(178\) | 5.46296 | + | 4.58397i | 0.409466 | + | 0.343583i | ||||
\(179\) | 5.06672 | 0.378704 | 0.189352 | − | 0.981909i | \(-0.439361\pi\) | ||||
0.189352 | + | 0.981909i | \(0.439361\pi\) | |||||||
\(180\) | −1.82538 | + | 8.98883i | −0.136056 | + | 0.669988i | ||||
\(181\) | 7.13872 | − | 12.3646i | 0.530617 | − | 0.919055i | −0.468745 | − | 0.883333i | \(-0.655294\pi\) |
0.999362 | − | 0.0357215i | \(-0.0113729\pi\) | |||||||
\(182\) | −8.80260 | + | 8.61827i | −0.652492 | + | 0.638828i | ||||
\(183\) | −5.02535 | + | 5.83436i | −0.371484 | + | 0.431288i | ||||
\(184\) | 0.737662 | − | 0.618972i | 0.0543811 | − | 0.0456312i | ||||
\(185\) | 0.550040 | + | 3.11943i | 0.0404398 | + | 0.229345i | ||||
\(186\) | −5.85351 | + | 3.27953i | −0.429200 | + | 0.240467i | ||||
\(187\) | −19.2188 | − | 16.1265i | −1.40542 | − | 1.17929i | ||||
\(188\) | −13.4247 | −0.979094 | ||||||||
\(189\) | −13.4385 | + | 2.89942i | −0.977507 | + | 0.210901i | ||||
\(190\) | 20.6288 | 1.49657 | ||||||||
\(191\) | 5.35420 | + | 4.49271i | 0.387416 | + | 0.325081i | 0.815606 | − | 0.578608i | \(-0.196404\pi\) |
−0.428189 | + | 0.903689i | \(0.640848\pi\) | |||||||
\(192\) | −0.0223554 | + | 1.73191i | −0.00161336 | + | 0.124990i | ||||
\(193\) | 3.15145 | + | 17.8728i | 0.226846 | + | 1.28651i | 0.859124 | + | 0.511767i | \(0.171009\pi\) |
−0.632278 | + | 0.774742i | \(0.717880\pi\) | |||||||
\(194\) | 5.83149 | − | 4.89320i | 0.418676 | − | 0.351311i | ||||
\(195\) | 24.2255 | + | 4.59477i | 1.73483 | + | 0.329039i | ||||
\(196\) | −4.38504 | − | 5.45632i | −0.313217 | − | 0.389737i | ||||
\(197\) | 5.13503 | − | 8.89414i | 0.365856 | − | 0.633681i | −0.623057 | − | 0.782176i | \(-0.714110\pi\) |
0.988913 | + | 0.148495i | \(0.0474429\pi\) | |||||||
\(198\) | 12.7842 | − | 10.1766i | 0.908534 | − | 0.723223i | ||||
\(199\) | 0.580347 | 0.0411397 | 0.0205699 | − | 0.999788i | \(-0.493452\pi\) | ||||
0.0205699 | + | 0.999788i | \(0.493452\pi\) | |||||||
\(200\) | 3.33068 | + | 2.79477i | 0.235515 | + | 0.197620i | ||||
\(201\) | −3.04643 | + | 0.496714i | −0.214878 | + | 0.0350355i | ||||
\(202\) | 4.80375 | + | 1.74842i | 0.337991 | + | 0.123019i | ||||
\(203\) | −5.93208 | − | 8.66561i | −0.416351 | − | 0.608206i | ||||
\(204\) | 2.82520 | − | 7.46111i | 0.197804 | − | 0.522382i | ||||
\(205\) | 24.3805 | − | 8.87376i | 1.70280 | − | 0.619770i | ||||
\(206\) | 11.2357 | 0.782826 | ||||||||
\(207\) | −0.428043 | − | 2.85696i | −0.0297510 | − | 0.198572i | ||||
\(208\) | 4.65618 | 0.322848 | ||||||||
\(209\) | −28.1517 | − | 23.6221i | −1.94730 | − | 1.63398i | ||||
\(210\) | −3.94313 | + | 13.4446i | −0.272102 | + | 0.927766i | ||||
\(211\) | −0.0869552 | − | 0.493148i | −0.00598624 | − | 0.0339497i | 0.981668 | − | 0.190597i | \(-0.0610424\pi\) |
−0.987655 | + | 0.156648i | \(0.949931\pi\) | |||||||
\(212\) | −12.7120 | − | 4.62678i | −0.873062 | − | 0.317768i | ||||
\(213\) | 0.267455 | − | 20.7202i | 0.0183257 | − | 1.41972i | ||||
\(214\) | −0.111628 | + | 0.633071i | −0.00763070 | + | 0.0432758i | ||||
\(215\) | −7.50148 | − | 12.9929i | −0.511597 | − | 0.886111i | ||||
\(216\) | 4.39605 | + | 2.77033i | 0.299113 | + | 0.188497i | ||||
\(217\) | −9.33414 | + | 4.23293i | −0.633643 | + | 0.287350i | ||||
\(218\) | 5.19457 | − | 1.89067i | 0.351821 | − | 0.128052i | ||||
\(219\) | −0.0770080 | + | 5.96594i | −0.00520372 | + | 0.403141i | ||||
\(220\) | −2.89175 | − | 16.4000i | −0.194962 | − | 1.10568i | ||||
\(221\) | −20.1537 | − | 7.33534i | −1.35568 | − | 0.493428i | ||||
\(222\) | 1.76301 | + | 0.334383i | 0.118325 | + | 0.0224423i | ||||
\(223\) | 8.33315 | + | 6.99234i | 0.558029 | + | 0.468242i | 0.877649 | − | 0.479304i | \(-0.159111\pi\) |
−0.319620 | + | 0.947546i | \(0.603555\pi\) | |||||||
\(224\) | −0.258466 | + | 2.63310i | −0.0172695 | + | 0.175931i | ||||
\(225\) | 12.3681 | − | 4.14334i | 0.824541 | − | 0.276223i | ||||
\(226\) | 2.20106 | − | 3.81236i | 0.146413 | − | 0.253594i | ||||
\(227\) | −3.84781 | − | 3.22869i | −0.255388 | − | 0.214296i | 0.506100 | − | 0.862475i | \(-0.331087\pi\) |
−0.761488 | + | 0.648179i | \(0.775531\pi\) | |||||||
\(228\) | 4.13836 | − | 10.9290i | 0.274070 | − | 0.723794i | ||||
\(229\) | 4.31807 | + | 24.4890i | 0.285346 | + | 1.61828i | 0.704048 | + | 0.710153i | \(0.251374\pi\) |
−0.418702 | + | 0.908124i | \(0.637515\pi\) | |||||||
\(230\) | −2.76660 | − | 1.00696i | −0.182424 | − | 0.0663969i | ||||
\(231\) | 20.7766 | − | 13.8323i | 1.36700 | − | 0.910099i | ||||
\(232\) | −0.689246 | + | 3.90891i | −0.0452512 | + | 0.256632i | ||||
\(233\) | −10.4147 | + | 18.0387i | −0.682287 | + | 1.18176i | 0.291994 | + | 0.956420i | \(0.405681\pi\) |
−0.974281 | + | 0.225336i | \(0.927652\pi\) | |||||||
\(234\) | 7.29419 | − | 11.9128i | 0.476836 | − | 0.778765i | ||||
\(235\) | 20.5225 | + | 35.5460i | 1.33874 | + | 2.31877i | ||||
\(236\) | −0.488151 | + | 2.76844i | −0.0317759 | + | 0.180210i | ||||
\(237\) | −1.03989 | − | 2.97604i | −0.0675482 | − | 0.193315i | ||||
\(238\) | 5.26691 | − | 10.9898i | 0.341403 | − | 0.712364i | ||||
\(239\) | −6.89162 | + | 5.78276i | −0.445782 | + | 0.374056i | −0.837868 | − | 0.545873i | \(-0.816198\pi\) |
0.392086 | + | 0.919929i | \(0.371754\pi\) | |||||||
\(240\) | 4.61994 | − | 2.58840i | 0.298216 | − | 0.167081i | ||||
\(241\) | 4.59758 | − | 26.0742i | 0.296156 | − | 1.67959i | −0.366309 | − | 0.930493i | \(-0.619379\pi\) |
0.662466 | − | 0.749092i | \(-0.269510\pi\) | |||||||
\(242\) | −9.33333 | + | 16.1658i | −0.599969 | + | 1.03918i | ||||
\(243\) | 13.9746 | − | 6.90737i | 0.896468 | − | 0.443108i | ||||
\(244\) | 4.44574 | 0.284609 | ||||||||
\(245\) | −7.74383 | + | 19.9519i | −0.494735 | + | 1.27468i | ||||
\(246\) | 0.189706 | − | 14.6968i | 0.0120952 | − | 0.937035i | ||||
\(247\) | −29.5211 | − | 10.7448i | −1.87838 | − | 0.683676i | ||||
\(248\) | 3.64018 | + | 1.32492i | 0.231151 | + | 0.0841322i | ||||
\(249\) | 5.34039 | + | 1.01289i | 0.338433 | + | 0.0641895i | ||||
\(250\) | −0.346215 | + | 1.96348i | −0.0218966 | + | 0.124182i | ||||
\(251\) | 5.57258 | − | 9.65200i | 0.351738 | − | 0.609229i | −0.634816 | − | 0.772664i | \(-0.718924\pi\) |
0.986554 | + | 0.163435i | \(0.0522573\pi\) | |||||||
\(252\) | 6.33186 | + | 4.78619i | 0.398869 | + | 0.301502i | ||||
\(253\) | 2.62245 | + | 4.54222i | 0.164872 | + | 0.285567i | ||||
\(254\) | −13.8731 | + | 5.04940i | −0.870477 | + | 0.316828i | ||||
\(255\) | −24.0746 | + | 3.92531i | −1.50761 | + | 0.245812i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −4.51208 | − | 25.5893i | −0.281456 | − | 1.59622i | −0.717677 | − | 0.696376i | \(-0.754794\pi\) |
0.436221 | − | 0.899840i | \(-0.356317\pi\) | |||||||
\(258\) | −8.38848 | + | 1.36772i | −0.522244 | + | 0.0851508i | ||||
\(259\) | 2.63999 | + | 0.737409i | 0.164041 | + | 0.0458203i | ||||
\(260\) | −7.11798 | − | 12.3287i | −0.441438 | − | 0.764594i | ||||
\(261\) | 8.92117 | + | 7.88697i | 0.552206 | + | 0.488191i | ||||
\(262\) | −2.22340 | − | 3.85104i | −0.137362 | − | 0.237918i | ||||
\(263\) | 0.687461 | − | 0.250215i | 0.0423907 | − | 0.0154289i | −0.320738 | − | 0.947168i | \(-0.603931\pi\) |
0.363128 | + | 0.931739i | \(0.381709\pi\) | |||||||
\(264\) | −9.26874 | − | 1.75797i | −0.570451 | − | 0.108196i | ||||
\(265\) | 7.18214 | + | 40.7320i | 0.441196 | + | 2.50214i | ||||
\(266\) | 7.71497 | − | 16.0979i | 0.473035 | − | 0.987026i | ||||
\(267\) | −10.6165 | − | 6.31352i | −0.649718 | − | 0.386381i | ||||
\(268\) | 1.36515 | + | 1.14550i | 0.0833900 | + | 0.0699725i | ||||
\(269\) | −1.22983 | + | 2.13013i | −0.0749843 | + | 0.129877i | −0.901079 | − | 0.433654i | \(-0.857224\pi\) |
0.826095 | + | 0.563531i | \(0.190557\pi\) | |||||||
\(270\) | 0.615014 | − | 15.8750i | 0.0374285 | − | 0.966120i | ||||
\(271\) | 1.55468 | + | 2.69278i | 0.0944398 | + | 0.163575i | 0.909375 | − | 0.415978i | \(-0.136561\pi\) |
−0.814935 | + | 0.579553i | \(0.803227\pi\) | |||||||
\(272\) | −4.32837 | + | 1.57540i | −0.262446 | + | 0.0955225i | ||||
\(273\) | 12.6457 | − | 17.1862i | 0.765352 | − | 1.04016i | ||||
\(274\) | 9.82018 | − | 8.24011i | 0.593259 | − | 0.497803i | ||||
\(275\) | −18.1412 | + | 15.2223i | −1.09396 | + | 0.917940i | ||||
\(276\) | −1.08849 | + | 1.26372i | −0.0655195 | + | 0.0760672i | ||||
\(277\) | −3.58146 | + | 1.30355i | −0.215189 | + | 0.0783225i | −0.447365 | − | 0.894351i | \(-0.647638\pi\) |
0.232176 | + | 0.972674i | \(0.425415\pi\) | |||||||
\(278\) | −12.3245 | −0.739172 | ||||||||
\(279\) | 9.09234 | − | 7.23780i | 0.544344 | − | 0.433316i | ||||
\(280\) | 7.36707 | − | 3.34089i | 0.440267 | − | 0.199656i | ||||
\(281\) | 0.645521 | − | 3.66093i | 0.0385085 | − | 0.218393i | −0.959481 | − | 0.281774i | \(-0.909077\pi\) |
0.997989 | + | 0.0633810i | \(0.0201883\pi\) | |||||||
\(282\) | 22.9492 | − | 3.74181i | 1.36660 | − | 0.222822i | ||||
\(283\) | 23.4740 | − | 19.6971i | 1.39539 | − | 1.17087i | 0.432283 | − | 0.901738i | \(-0.357708\pi\) |
0.963104 | − | 0.269130i | \(-0.0867363\pi\) | |||||||
\(284\) | −9.16479 | + | 7.69017i | −0.543830 | + | 0.456328i | ||||
\(285\) | −35.2645 | + | 5.74980i | −2.08889 | + | 0.340589i | ||||
\(286\) | −4.40387 | + | 24.9756i | −0.260406 | + | 1.47684i | ||||
\(287\) | 2.19332 | − | 22.3443i | 0.129468 | − | 1.31894i | ||||
\(288\) | −0.444513 | − | 2.96689i | −0.0261932 | − | 0.174825i | ||||
\(289\) | 4.21665 | 0.248038 | ||||||||
\(290\) | 11.4037 | − | 4.15062i | 0.669650 | − | 0.243733i | ||||
\(291\) | −8.60493 | + | 9.99020i | −0.504430 | + | 0.585636i | ||||
\(292\) | 2.63881 | − | 2.21422i | 0.154425 | − | 0.129578i | ||||
\(293\) | 16.6675 | − | 13.9857i | 0.973723 | − | 0.817051i | −0.00940716 | − | 0.999956i | \(-0.502994\pi\) |
0.983131 | + | 0.182905i | \(0.0585500\pi\) | |||||||
\(294\) | 9.01695 | + | 8.10522i | 0.525879 | + | 0.472706i | ||||
\(295\) | 8.07656 | − | 2.93963i | 0.470236 | − | 0.171152i | ||||
\(296\) | −0.518009 | − | 0.897218i | −0.0301087 | − | 0.0521497i | ||||
\(297\) | −19.0178 | + | 20.9600i | −1.10352 | + | 1.21622i | ||||
\(298\) | −3.75449 | + | 6.50297i | −0.217492 | + | 0.376707i | ||||
\(299\) | 3.43469 | + | 2.88204i | 0.198633 | + | 0.166673i | ||||
\(300\) | −6.47270 | − | 3.84925i | −0.373701 | − | 0.222236i | ||||
\(301\) | −12.9447 | + | 0.994623i | −0.746118 | + | 0.0573291i | ||||
\(302\) | 0.906192 | + | 5.13927i | 0.0521455 | + | 0.295732i | ||||
\(303\) | −8.69923 | − | 1.64995i | −0.499758 | − | 0.0947874i | ||||
\(304\) | −6.34020 | + | 2.30764i | −0.363635 | + | 0.132352i | ||||
\(305\) | −6.79628 | − | 11.7715i | −0.389154 | − | 0.674034i | ||||
\(306\) | −2.75001 | + | 13.5421i | −0.157208 | + | 0.774148i | ||||
\(307\) | −13.9616 | − | 24.1823i | −0.796833 | − | 1.38016i | −0.921669 | − | 0.387978i | \(-0.873174\pi\) |
0.124836 | − | 0.992177i | \(-0.460160\pi\) | |||||||
\(308\) | −13.8794 | − | 3.87681i | −0.790850 | − | 0.220902i | ||||
\(309\) | −19.2071 | + | 3.13168i | −1.09265 | + | 0.178155i | ||||
\(310\) | −2.05666 | − | 11.6639i | −0.116811 | − | 0.662467i | ||||
\(311\) | −5.02007 | + | 4.21234i | −0.284662 | + | 0.238860i | −0.773926 | − | 0.633276i | \(-0.781710\pi\) |
0.489264 | + | 0.872136i | \(0.337265\pi\) | |||||||
\(312\) | −7.95964 | + | 1.29780i | −0.450626 | + | 0.0734736i | ||||
\(313\) | −2.72095 | + | 0.990345i | −0.153797 | + | 0.0559776i | −0.417772 | − | 0.908552i | \(-0.637189\pi\) |
0.263974 | + | 0.964530i | \(0.414967\pi\) | |||||||
\(314\) | −0.910429 | − | 1.57691i | −0.0513785 | − | 0.0889901i | ||||
\(315\) | 2.99333 | − | 24.0823i | 0.168655 | − | 1.35688i | ||||
\(316\) | −0.910046 | + | 1.57625i | −0.0511941 | + | 0.0886708i | ||||
\(317\) | −2.57723 | + | 14.6162i | −0.144752 | + | 0.820928i | 0.822815 | + | 0.568310i | \(0.192403\pi\) |
−0.967566 | + | 0.252618i | \(0.918709\pi\) | |||||||
\(318\) | 23.0204 | + | 4.36621i | 1.29092 | + | 0.244845i | ||||
\(319\) | −20.3153 | − | 7.39418i | −1.13744 | − | 0.413995i | ||||
\(320\) | −2.87305 | − | 1.04570i | −0.160608 | − | 0.0584566i | ||||
\(321\) | 0.0143709 | − | 1.11333i | 0.000802103 | − | 0.0621402i | ||||
\(322\) | −1.82047 | + | 1.78235i | −0.101451 | + | 0.0993265i | ||||
\(323\) | 31.0782 | 1.72924 | ||||||||
\(324\) | −8.28711 | − | 3.51052i | −0.460395 | − | 0.195029i | ||||
\(325\) | −10.1223 | + | 17.5323i | −0.561484 | + | 0.972518i | ||||
\(326\) | 2.35811 | − | 13.3735i | 0.130603 | − | 0.740689i | ||||
\(327\) | −8.35302 | + | 4.67992i | −0.461923 | + | 0.258800i | ||||
\(328\) | −6.50059 | + | 5.45465i | −0.358935 | + | 0.301182i | ||||
\(329\) | 35.4139 | − | 2.72109i | 1.95243 | − | 0.150018i | ||||
\(330\) | 9.51449 | + | 27.2293i | 0.523756 | + | 1.49893i | ||||
\(331\) | −3.80510 | + | 21.5798i | −0.209147 | + | 1.18613i | 0.681632 | + | 0.731696i | \(0.261271\pi\) |
−0.890779 | + | 0.454437i | \(0.849840\pi\) | |||||||
\(332\) | −1.56912 | − | 2.71780i | −0.0861167 | − | 0.149158i | ||||
\(333\) | −3.10702 | − | 0.0802239i | −0.170264 | − | 0.00439624i | ||||
\(334\) | −2.27709 | + | 3.94404i | −0.124597 | + | 0.215808i | ||||
\(335\) | 0.946138 | − | 5.36582i | 0.0516931 | − | 0.293166i | ||||
\(336\) | −0.292072 | − | 4.57326i | −0.0159339 | − | 0.249492i | ||||
\(337\) | −21.4326 | − | 7.80084i | −1.16751 | − | 0.424939i | −0.315735 | − | 0.948847i | \(-0.602251\pi\) |
−0.851775 | + | 0.523908i | \(0.824473\pi\) | |||||||
\(338\) | 1.50727 | + | 8.54816i | 0.0819848 | + | 0.464959i | ||||
\(339\) | −2.70006 | + | 7.13063i | −0.146647 | + | 0.387283i | ||||
\(340\) | 10.7882 | + | 9.05238i | 0.585073 | + | 0.490934i | ||||
\(341\) | −10.5497 | + | 18.2726i | −0.571299 | + | 0.989519i | ||||
\(342\) | −4.02822 | + | 19.8364i | −0.217821 | + | 1.07263i | ||||
\(343\) | 12.6736 | + | 13.5048i | 0.684310 | + | 0.729192i | ||||
\(344\) | 3.75901 | + | 3.15419i | 0.202672 | + | 0.170062i | ||||
\(345\) | 5.01010 | + | 0.950249i | 0.269735 | + | 0.0511597i | ||||
\(346\) | 3.74234 | + | 1.36210i | 0.201190 | + | 0.0732271i | ||||
\(347\) | 2.30203 | + | 13.0555i | 0.123580 | + | 0.700855i | 0.982141 | + | 0.188145i | \(0.0602473\pi\) |
−0.858562 | + | 0.512710i | \(0.828642\pi\) | |||||||
\(348\) | 0.0887331 | − | 6.87430i | 0.00475660 | − | 0.368501i | ||||
\(349\) | −19.3642 | + | 7.04800i | −1.03654 | + | 0.377271i | −0.803568 | − | 0.595212i | \(-0.797068\pi\) |
−0.232974 | + | 0.972483i | \(0.574846\pi\) | |||||||
\(350\) | −9.35273 | − | 6.69743i | −0.499925 | − | 0.357993i | ||||
\(351\) | −9.14884 | + | 22.3978i | −0.488329 | + | 1.19550i | ||||
\(352\) | 2.72336 | + | 4.71699i | 0.145155 | + | 0.251416i | ||||
\(353\) | 1.02680 | − | 5.82329i | 0.0546512 | − | 0.309943i | −0.945212 | − | 0.326456i | \(-0.894146\pi\) |
0.999864 | + | 0.0165134i | \(0.00525661\pi\) | |||||||
\(354\) | 0.0628443 | − | 4.86865i | 0.00334014 | − | 0.258766i | ||||
\(355\) | 34.3725 | + | 12.5106i | 1.82430 | + | 0.663992i | ||||
\(356\) | 1.23835 | + | 7.02305i | 0.0656326 | + | 0.372221i | ||||
\(357\) | −5.94050 | + | 20.2549i | −0.314405 | + | 1.07200i | ||||
\(358\) | 3.88133 | + | 3.25682i | 0.205135 | + | 0.172129i | ||||
\(359\) | −7.76872 | −0.410018 | −0.205009 | − | 0.978760i | \(-0.565722\pi\) | ||||
−0.205009 | + | 0.978760i | \(0.565722\pi\) | |||||||
\(360\) | −7.17623 | + | 5.71251i | −0.378220 | + | 0.301076i | ||||
\(361\) | 26.5233 | 1.39597 | ||||||||
\(362\) | 13.4164 | − | 4.88317i | 0.705150 | − | 0.256654i | ||||
\(363\) | 11.4493 | − | 30.2365i | 0.600931 | − | 1.58701i | ||||
\(364\) | −12.2829 | + | 0.943775i | −0.643799 | + | 0.0494673i | ||||
\(365\) | −9.89684 | − | 3.60216i | −0.518025 | − | 0.188546i | ||||
\(366\) | −7.59989 | + | 1.23915i | −0.397253 | + | 0.0647712i | ||||
\(367\) | −21.4569 | − | 18.0045i | −1.12004 | − | 0.939825i | −0.121434 | − | 0.992600i | \(-0.538749\pi\) |
−0.998606 | + | 0.0527741i | \(0.983194\pi\) | |||||||
\(368\) | 0.962949 | 0.0501972 | ||||||||
\(369\) | 3.77210 | + | 25.1768i | 0.196368 | + | 1.31065i | ||||
\(370\) | −1.58378 | + | 2.74318i | −0.0823367 | + | 0.142611i | ||||
\(371\) | 34.4717 | + | 9.62870i | 1.78968 | + | 0.499897i | ||||
\(372\) | −6.59208 | − | 1.25030i | −0.341784 | − | 0.0648250i | ||||
\(373\) | 4.04592 | − | 3.39493i | 0.209490 | − | 0.175783i | −0.532006 | − | 0.846741i | \(-0.678561\pi\) |
0.741495 | + | 0.670958i | \(0.234117\pi\) | |||||||
\(374\) | −4.35655 | − | 24.7072i | −0.225272 | − | 1.27758i | ||||
\(375\) | 0.0445715 | − | 3.45303i | 0.00230166 | − | 0.178314i | ||||
\(376\) | −10.2839 | − | 8.62921i | −0.530351 | − | 0.445018i | ||||
\(377\) | −18.4814 | −0.951838 | ||||||||
\(378\) | −12.1582 | − | 6.41702i | −0.625350 | − | 0.330056i | ||||
\(379\) | 34.9677 | 1.79617 | 0.898084 | − | 0.439824i | \(-0.144959\pi\) | ||||
0.898084 | + | 0.439824i | \(0.144959\pi\) | |||||||
\(380\) | 15.8026 | + | 13.2599i | 0.810655 | + | 0.680220i | ||||
\(381\) | 22.3084 | − | 12.4986i | 1.14289 | − | 0.640325i | ||||
\(382\) | 1.21370 | + | 6.88322i | 0.0620982 | + | 0.352176i | ||||
\(383\) | −9.67254 | + | 8.11623i | −0.494244 | + | 0.414720i | −0.855544 | − | 0.517730i | \(-0.826777\pi\) |
0.361300 | + | 0.932449i | \(0.382333\pi\) | |||||||
\(384\) | −1.13037 | + | 1.31235i | −0.0576841 | + | 0.0669705i | ||||
\(385\) | 10.9525 | + | 42.6765i | 0.558193 | + | 2.17500i | ||||
\(386\) | −9.07423 | + | 15.7170i | −0.461866 | + | 0.799976i | ||||
\(387\) | 13.9587 | − | 4.67619i | 0.709560 | − | 0.237704i | ||||
\(388\) | 7.61246 | 0.386464 | ||||||||
\(389\) | −8.10385 | − | 6.79994i | −0.410881 | − | 0.344770i | 0.413800 | − | 0.910368i | \(-0.364201\pi\) |
−0.824682 | + | 0.565597i | \(0.808646\pi\) | |||||||
\(390\) | 15.6044 | + | 19.0917i | 0.790158 | + | 0.966744i | ||||
\(391\) | −4.16800 | − | 1.51703i | −0.210785 | − | 0.0767194i | ||||
\(392\) | 0.148117 | − | 6.99843i | 0.00748105 | − | 0.353474i | ||||
\(393\) | 4.87424 | + | 5.96355i | 0.245873 | + | 0.300821i | ||||
\(394\) | 9.65071 | − | 3.51257i | 0.486196 | − | 0.176961i | ||||
\(395\) | 5.56481 | 0.279996 | ||||||||
\(396\) | 16.3347 | + | 0.421765i | 0.820849 | + | 0.0211945i | ||||
\(397\) | −7.87219 | −0.395094 | −0.197547 | − | 0.980293i | \(-0.563297\pi\) | ||||
−0.197547 | + | 0.980293i | \(0.563297\pi\) | |||||||
\(398\) | 0.444572 | + | 0.373040i | 0.0222844 | + | 0.0186988i | ||||
\(399\) | −8.70165 | + | 29.6694i | −0.435628 | + | 1.48533i | ||||
\(400\) | 0.755004 | + | 4.28184i | 0.0377502 | + | 0.214092i | ||||
\(401\) | −27.0019 | − | 9.82787i | −1.34841 | − | 0.490780i | −0.435958 | − | 0.899967i | \(-0.643590\pi\) |
−0.912451 | + | 0.409187i | \(0.865812\pi\) | |||||||
\(402\) | −2.65298 | − | 1.57770i | −0.132319 | − | 0.0786886i | ||||
\(403\) | −3.13211 | + | 17.7631i | −0.156021 | + | 0.884841i | ||||
\(404\) | 2.55602 | + | 4.42716i | 0.127167 | + | 0.220259i | ||||
\(405\) | 3.37343 | + | 27.3093i | 0.167627 | + | 1.35701i | ||||
\(406\) | 1.02591 | − | 10.4513i | 0.0509149 | − | 0.518690i | ||||
\(407\) | 5.30258 | − | 1.92998i | 0.262839 | − | 0.0956657i | ||||
\(408\) | 6.96014 | − | 3.89954i | 0.344578 | − | 0.193056i | ||||
\(409\) | 0.579794 | + | 3.28818i | 0.0286690 | + | 0.162590i | 0.995781 | − | 0.0917606i | \(-0.0292494\pi\) |
−0.967112 | + | 0.254350i | \(0.918138\pi\) | |||||||
\(410\) | 24.3805 | + | 8.87376i | 1.20406 | + | 0.438244i | ||||
\(411\) | −14.4906 | + | 16.8234i | −0.714770 | + | 0.829838i | ||||
\(412\) | 8.60701 | + | 7.22214i | 0.424037 | + | 0.355809i | ||||
\(413\) | 0.726587 | − | 7.40203i | 0.0357530 | − | 0.364230i | ||||
\(414\) | 1.50852 | − | 2.46370i | 0.0741396 | − | 0.121084i | ||||
\(415\) | −4.79748 | + | 8.30948i | −0.235499 | + | 0.407896i | ||||
\(416\) | 3.56684 | + | 2.99294i | 0.174879 | + | 0.146741i | ||||
\(417\) | 21.0684 | − | 3.43516i | 1.03172 | − | 0.168220i | ||||
\(418\) | −6.38148 | − | 36.1912i | −0.312129 | − | 1.77017i | ||||
\(419\) | −21.2585 | − | 7.73746i | −1.03855 | − | 0.378000i | −0.234217 | − | 0.972184i | \(-0.575253\pi\) |
−0.804329 | + | 0.594185i | \(0.797475\pi\) | |||||||
\(420\) | −11.6626 | + | 7.76457i | −0.569079 | + | 0.378872i | ||||
\(421\) | 1.62260 | − | 9.20220i | 0.0790805 | − | 0.448488i | −0.919397 | − | 0.393330i | \(-0.871323\pi\) |
0.998478 | − | 0.0551573i | \(-0.0175660\pi\) | |||||||
\(422\) | 0.250378 | − | 0.433667i | 0.0121882 | − | 0.0211106i | ||||
\(423\) | −38.1881 | + | 12.7931i | −1.85677 | + | 0.622021i | ||||
\(424\) | −6.76390 | − | 11.7154i | −0.328484 | − | 0.568951i | ||||
\(425\) | 3.47766 | − | 19.7228i | 0.168691 | − | 0.956697i | ||||
\(426\) | 13.5235 | − | 15.7006i | 0.655218 | − | 0.760699i | ||||
\(427\) | −11.7278 | + | 0.901121i | −0.567546 | + | 0.0436083i | ||||
\(428\) | −0.492442 | + | 0.413208i | −0.0238031 | + | 0.0199732i | ||||
\(429\) | 0.566952 | − | 43.9227i | 0.0273727 | − | 2.12061i | ||||
\(430\) | 2.60524 | − | 14.7750i | 0.125636 | − | 0.712515i | ||||
\(431\) | −12.7329 | + | 22.0541i | −0.613324 | + | 1.06231i | 0.377352 | + | 0.926070i | \(0.376835\pi\) |
−0.990676 | + | 0.136238i | \(0.956499\pi\) | |||||||
\(432\) | 1.58683 | + | 4.94792i | 0.0763466 | + | 0.238057i | ||||
\(433\) | −3.16367 | −0.152036 | −0.0760181 | − | 0.997106i | \(-0.524221\pi\) | ||||
−0.0760181 | + | 0.997106i | \(0.524221\pi\) | |||||||
\(434\) | −9.87124 | − | 2.75726i | −0.473835 | − | 0.132353i | ||||
\(435\) | −18.3375 | + | 10.2739i | −0.879216 | + | 0.492596i | ||||
\(436\) | 5.19457 | + | 1.89067i | 0.248775 | + | 0.0905467i | ||||
\(437\) | −6.10529 | − | 2.22214i | −0.292055 | − | 0.106300i | ||||
\(438\) | −3.89382 | + | 4.52067i | −0.186054 | + | 0.216006i | ||||
\(439\) | −6.32091 | + | 35.8477i | −0.301681 | + | 1.71092i | 0.337051 | + | 0.941487i | \(0.390571\pi\) |
−0.638731 | + | 0.769430i | \(0.720540\pi\) | |||||||
\(440\) | 8.32647 | − | 14.4219i | 0.396949 | − | 0.687536i | ||||
\(441\) | −17.6734 | − | 11.3424i | −0.841591 | − | 0.540116i | ||||
\(442\) | −10.7235 | − | 18.5737i | −0.510067 | − | 0.883462i | ||||
\(443\) | 7.46335 | − | 2.71644i | 0.354595 | − | 0.129062i | −0.158580 | − | 0.987346i | \(-0.550692\pi\) |
0.513175 | + | 0.858284i | \(0.328469\pi\) | |||||||
\(444\) | 1.13560 | + | 1.38939i | 0.0538933 | + | 0.0659376i | ||||
\(445\) | 16.7026 | − | 14.0152i | 0.791781 | − | 0.664383i | ||||
\(446\) | 1.88897 | + | 10.7129i | 0.0894454 | + | 0.507270i | ||||
\(447\) | 4.60567 | − | 12.1632i | 0.217841 | − | 0.575298i | ||||
\(448\) | −1.89052 | + | 1.85093i | −0.0893186 | + | 0.0874482i | ||||
\(449\) | 6.01821 | + | 10.4239i | 0.284017 | + | 0.491932i | 0.972370 | − | 0.233444i | \(-0.0749994\pi\) |
−0.688353 | + | 0.725376i | \(0.741666\pi\) | |||||||
\(450\) | 12.1378 | + | 4.77609i | 0.572182 | + | 0.225147i | ||||
\(451\) | −23.1102 | − | 40.0280i | −1.08822 | − | 1.88485i | ||||
\(452\) | 4.13665 | − | 1.50562i | 0.194572 | − | 0.0708183i | ||||
\(453\) | −2.98156 | − | 8.53288i | −0.140086 | − | 0.400910i | ||||
\(454\) | −0.872227 | − | 4.94665i | −0.0409357 | − | 0.232158i | ||||
\(455\) | 21.2760 | + | 31.0801i | 0.997434 | + | 1.45706i | ||||
\(456\) | 10.1952 | − | 5.71205i | 0.477435 | − | 0.267491i | ||||
\(457\) | 12.1324 | + | 10.1803i | 0.567529 | + | 0.476213i | 0.880825 | − | 0.473442i | \(-0.156989\pi\) |
−0.313296 | + | 0.949656i | \(0.601433\pi\) | |||||||
\(458\) | −12.4334 | + | 21.5352i | −0.580973 | + | 1.00628i | ||||
\(459\) | 0.926545 | − | 23.9163i | 0.0432474 | − | 1.11632i | ||||
\(460\) | −1.47208 | − | 2.54971i | −0.0686359 | − | 0.118881i | ||||
\(461\) | −13.6284 | + | 4.96034i | −0.634738 | + | 0.231026i | −0.639292 | − | 0.768964i | \(-0.720773\pi\) |
0.00455403 | + | 0.999990i | \(0.498550\pi\) | |||||||
\(462\) | 24.8070 | + | 2.75877i | 1.15413 | + | 0.128350i | ||||
\(463\) | −32.5471 | + | 27.3103i | −1.51259 | + | 1.26922i | −0.654077 | + | 0.756428i | \(0.726943\pi\) |
−0.858515 | + | 0.512788i | \(0.828613\pi\) | |||||||
\(464\) | −3.04059 | + | 2.55136i | −0.141156 | + | 0.118444i | ||||
\(465\) | 6.76687 | + | 19.3660i | 0.313806 | + | 0.898075i | ||||
\(466\) | −19.5732 | + | 7.12405i | −0.906709 | + | 0.330015i | ||||
\(467\) | 14.2096 | 0.657541 | 0.328770 | − | 0.944410i | \(-0.393366\pi\) | ||||
0.328770 | + | 0.944410i | \(0.393366\pi\) | |||||||
\(468\) | 13.2451 | − | 4.43713i | 0.612254 | − | 0.205106i | ||||
\(469\) | −3.83343 | − | 2.74509i | −0.177011 | − | 0.126757i | ||||
\(470\) | −7.12739 | + | 40.4214i | −0.328762 | + | 1.86450i | ||||
\(471\) | 1.99588 | + | 2.44193i | 0.0919655 | + | 0.112518i | ||||
\(472\) | −2.15347 | + | 1.80697i | −0.0991213 | + | 0.0831726i | ||||
\(473\) | −20.4743 | + | 17.1799i | −0.941408 | + | 0.789935i | ||||
\(474\) | 1.11636 | − | 2.94821i | 0.0512762 | − | 0.135416i | ||||
\(475\) | 5.09408 | − | 28.8900i | 0.233733 | − | 1.32556i | ||||
\(476\) | 11.0988 | − | 5.03319i | 0.508713 | − | 0.230696i | ||||
\(477\) | −40.5699 | − | 1.04752i | −1.85757 | − | 0.0479628i | ||||
\(478\) | −8.99638 | −0.411485 | ||||||||
\(479\) | −8.49697 | + | 3.09265i | −0.388237 | + | 0.141307i | −0.528761 | − | 0.848771i | \(-0.677343\pi\) |
0.140525 | + | 0.990077i | \(0.455121\pi\) | |||||||
\(480\) | 5.20287 | + | 0.986811i | 0.237478 | + | 0.0450416i | ||||
\(481\) | 3.69531 | − | 3.10074i | 0.168492 | − | 0.141381i | ||||
\(482\) | 20.2821 | − | 17.0187i | 0.923825 | − | 0.775181i | ||||
\(483\) | 2.61527 | − | 3.55430i | 0.118999 | − | 0.161726i | ||||
\(484\) | −17.5409 | + | 6.38437i | −0.797315 | + | 0.290199i | ||||
\(485\) | −11.6373 | − | 20.1564i | −0.528422 | − | 0.915255i | ||||
\(486\) | 15.1451 | + | 3.69132i | 0.686996 | + | 0.167442i | ||||
\(487\) | −1.26637 | + | 2.19342i | −0.0573847 | + | 0.0993932i | −0.893291 | − | 0.449479i | \(-0.851609\pi\) |
0.835906 | + | 0.548873i | \(0.184943\pi\) | |||||||
\(488\) | 3.40564 | + | 2.85767i | 0.154166 | + | 0.129361i | ||||
\(489\) | −0.303581 | + | 23.5189i | −0.0137284 | + | 1.06356i | ||||
\(490\) | −18.7570 | + | 10.3064i | −0.847354 | + | 0.465597i | ||||
\(491\) | 4.41249 | + | 25.0244i | 0.199133 | + | 1.12934i | 0.906409 | + | 0.422401i | \(0.138812\pi\) |
−0.707277 | + | 0.706937i | \(0.750076\pi\) | |||||||
\(492\) | 9.59226 | − | 11.1365i | 0.432453 | − | 0.502071i | ||||
\(493\) | 17.1802 | − | 6.25308i | 0.773757 | − | 0.281625i | ||||
\(494\) | −15.7079 | − | 27.2068i | −0.706730 | − | 1.22409i | ||||
\(495\) | −23.8543 | − | 43.8960i | −1.07217 | − | 1.97298i | ||||
\(496\) | 1.93690 | + | 3.35480i | 0.0869692 | + | 0.150635i | ||||
\(497\) | 22.6177 | − | 22.1441i | 1.01454 | − | 0.993300i | ||||
\(498\) | 3.43990 | + | 4.20865i | 0.154145 | + | 0.188594i | ||||
\(499\) | −5.93063 | − | 33.6343i | −0.265492 | − | 1.50568i | −0.767631 | − | 0.640892i | \(-0.778565\pi\) |
0.502140 | − | 0.864786i | \(-0.332546\pi\) | |||||||
\(500\) | −1.52732 | + | 1.28157i | −0.0683038 | + | 0.0573137i | ||||
\(501\) | 2.79333 | − | 7.37693i | 0.124797 | − | 0.329577i | ||||
\(502\) | 10.4730 | − | 3.81187i | 0.467434 | − | 0.170132i | ||||
\(503\) | 21.7442 | + | 37.6621i | 0.969528 | + | 1.67927i | 0.696924 | + | 0.717145i | \(0.254551\pi\) |
0.272604 | + | 0.962126i | \(0.412115\pi\) | |||||||
\(504\) | 1.77398 | + | 7.73647i | 0.0790194 | + | 0.344610i | ||||
\(505\) | 7.81486 | − | 13.5357i | 0.347757 | − | 0.602333i | ||||
\(506\) | −0.910768 | + | 5.16522i | −0.0404886 | + | 0.229622i | ||||
\(507\) | −4.95925 | − | 14.1928i | −0.220248 | − | 0.630323i | ||||
\(508\) | −13.8731 | − | 5.04940i | −0.615520 | − | 0.224031i | ||||
\(509\) | 18.2593 | + | 6.64583i | 0.809328 | + | 0.294571i | 0.713346 | − | 0.700812i | \(-0.247179\pi\) |
0.0959818 | + | 0.995383i | \(0.469401\pi\) | |||||||
\(510\) | −20.9653 | − | 12.4679i | −0.928360 | − | 0.552087i | ||||
\(511\) | −6.51231 | + | 6.37594i | −0.288088 | + | 0.282055i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.35720 | − | 35.0327i | 0.0599220 | − | 1.54673i | ||||
\(514\) | 12.9920 | − | 22.5028i | 0.573054 | − | 0.992558i | ||||
\(515\) | 5.96521 | − | 33.8304i | 0.262859 | − | 1.49074i | ||||
\(516\) | −7.30510 | − | 4.34427i | −0.321589 | − | 0.191246i | ||||
\(517\) | 56.0134 | − | 47.0008i | 2.46347 | − | 2.06709i | ||||
\(518\) | 1.54836 | + | 2.26184i | 0.0680308 | + | 0.0993797i | ||||
\(519\) | −6.77711 | − | 1.28539i | −0.297482 | − | 0.0564224i | ||||
\(520\) | 2.47205 | − | 14.0197i | 0.108407 | − | 0.614804i | ||||
\(521\) | −1.01906 | − | 1.76507i | −0.0446460 | − | 0.0773292i | 0.842839 | − | 0.538166i | \(-0.180883\pi\) |
−0.887485 | + | 0.460837i | \(0.847549\pi\) | |||||||
\(522\) | 1.76436 | + | 11.7762i | 0.0772241 | + | 0.515430i | ||||
\(523\) | −6.50941 | + | 11.2746i | −0.284637 | + | 0.493005i | −0.972521 | − | 0.232815i | \(-0.925206\pi\) |
0.687884 | + | 0.725820i | \(0.258540\pi\) | |||||||
\(524\) | 0.772179 | − | 4.37925i | 0.0337328 | − | 0.191308i | ||||
\(525\) | 17.8550 | + | 8.84225i | 0.779257 | + | 0.385908i | ||||
\(526\) | 0.687461 | + | 0.250215i | 0.0299747 | + | 0.0109099i | ||||
\(527\) | −3.09845 | − | 17.5722i | −0.134971 | − | 0.765457i | ||||
\(528\) | −5.97026 | − | 7.30451i | −0.259822 | − | 0.317888i | ||||
\(529\) | −16.9087 | − | 14.1881i | −0.735161 | − | 0.616873i | ||||
\(530\) | −20.6802 | + | 35.8191i | −0.898289 | + | 1.55588i | ||||
\(531\) | 1.24959 | + | 8.34036i | 0.0542276 | + | 0.361941i | ||||
\(532\) | 16.2575 | − | 7.37262i | 0.704854 | − | 0.319644i | ||||
\(533\) | −30.2680 | − | 25.3978i | −1.31105 | − | 1.10010i | ||||
\(534\) | −4.07445 | − | 11.6606i | −0.176319 | − | 0.504602i | ||||
\(535\) | 1.84690 | + | 0.672217i | 0.0798485 | + | 0.0290625i | ||||
\(536\) | 0.309455 | + | 1.75501i | 0.0133664 | + | 0.0758048i | ||||
\(537\) | −7.54281 | − | 4.48564i | −0.325496 | − | 0.193569i | ||||
\(538\) | −2.31133 | + | 0.841256i | −0.0996486 | + | 0.0362691i | ||||
\(539\) | 37.3992 | + | 7.41369i | 1.61090 | + | 0.319330i | ||||
\(540\) | 10.6754 | − | 11.7656i | 0.459395 | − | 0.506311i | ||||
\(541\) | 9.45978 | + | 16.3848i | 0.406708 | + | 0.704439i | 0.994519 | − | 0.104560i | \(-0.0333434\pi\) |
−0.587811 | + | 0.808998i | \(0.700010\pi\) | |||||||
\(542\) | −0.539933 | + | 3.06211i | −0.0231921 | + | 0.131529i | ||||
\(543\) | −21.5740 | + | 12.0872i | −0.925827 | + | 0.518710i | ||||
\(544\) | −4.32837 | − | 1.57540i | −0.185577 | − | 0.0675446i | ||||
\(545\) | −2.93488 | − | 16.6446i | −0.125717 | − | 0.712975i | ||||
\(546\) | 20.7343 | − | 5.03693i | 0.887345 | − | 0.215561i | ||||
\(547\) | −11.4579 | − | 9.61436i | −0.489906 | − | 0.411080i | 0.364086 | − | 0.931365i | \(-0.381381\pi\) |
−0.853993 | + | 0.520285i | \(0.825826\pi\) | |||||||
\(548\) | 12.8193 | 0.547615 | ||||||||
\(549\) | 12.6465 | − | 4.23659i | 0.539738 | − | 0.180813i | ||||
\(550\) | −23.6817 | −1.00979 | ||||||||
\(551\) | 25.1656 | − | 9.15952i | 1.07209 | − | 0.390209i | ||||
\(552\) | −1.64614 | + | 0.268400i | −0.0700643 | + | 0.0114238i | ||||
\(553\) | 2.08119 | − | 4.34256i | 0.0885010 | − | 0.184664i | ||||
\(554\) | −3.58146 | − | 1.30355i | −0.152162 | − | 0.0553824i | ||||
\(555\) | 1.94283 | − | 5.13085i | 0.0824687 | − | 0.217792i | ||||
\(556\) | −9.44108 | − | 7.92201i | −0.400391 | − | 0.335968i | ||||
\(557\) | 29.8777 | 1.26596 | 0.632979 | − | 0.774169i | \(-0.281832\pi\) | ||||
0.632979 | + | 0.774169i | \(0.281832\pi\) | |||||||
\(558\) | 11.6175 | + | 0.299967i | 0.491808 | + | 0.0126986i | ||||
\(559\) | −11.4240 | + | 19.7870i | −0.483186 | + | 0.836902i | ||||
\(560\) | 7.79098 | + | 2.17619i | 0.329229 | + | 0.0919610i | ||||
\(561\) | 14.3340 | + | 41.0222i | 0.605182 | + | 1.73196i | ||||
\(562\) | 2.84770 | − | 2.38950i | 0.120123 | − | 0.100795i | ||||
\(563\) | −0.977657 | − | 5.54457i | −0.0412033 | − | 0.233676i | 0.957251 | − | 0.289260i | \(-0.0934091\pi\) |
−0.998454 | + | 0.0555838i | \(0.982298\pi\) | |||||||
\(564\) | 19.9853 | + | 11.8850i | 0.841532 | + | 0.500450i | ||||
\(565\) | −10.3104 | − | 8.65141i | −0.433760 | − | 0.363968i | ||||
\(566\) | 30.6432 | 1.28803 | ||||||||
\(567\) | 22.5728 | + | 7.58094i | 0.947967 | + | 0.318369i | ||||
\(568\) | −11.9638 | −0.501989 | ||||||||
\(569\) | 22.0114 | + | 18.4697i | 0.922765 | + | 0.774292i | 0.974504 | − | 0.224369i | \(-0.0720321\pi\) |
−0.0517395 | + | 0.998661i | \(0.516477\pi\) | |||||||
\(570\) | −30.7100 | − | 18.2630i | −1.28630 | − | 0.764951i | ||||
\(571\) | −1.89750 | − | 10.7613i | −0.0794081 | − | 0.450346i | −0.998424 | − | 0.0561247i | \(-0.982126\pi\) |
0.919016 | − | 0.394221i | \(-0.128986\pi\) | |||||||
\(572\) | −19.4276 | + | 16.3017i | −0.812307 | + | 0.681607i | ||||
\(573\) | −3.99333 | − | 11.4284i | −0.166824 | − | 0.477429i | ||||
\(574\) | 16.0428 | − | 15.7069i | 0.669613 | − | 0.655591i | ||||
\(575\) | −2.09340 | + | 3.62587i | −0.0873008 | + | 0.151209i | ||||
\(576\) | 1.56656 | − | 2.55849i | 0.0652734 | − | 0.106604i | ||||
\(577\) | −41.2241 | −1.71618 | −0.858090 | − | 0.513498i | \(-0.828349\pi\) | ||||
−0.858090 | + | 0.513498i | \(0.828349\pi\) | |||||||
\(578\) | 3.23014 | + | 2.71041i | 0.134356 | + | 0.112738i | ||||
\(579\) | 11.1314 | − | 29.3971i | 0.462607 | − | 1.22170i | ||||
\(580\) | 11.4037 | + | 4.15062i | 0.473514 | + | 0.172345i | ||||
\(581\) | 4.69018 | + | 6.85143i | 0.194581 | + | 0.284245i | ||||
\(582\) | −13.0133 | + | 2.12180i | −0.539420 | + | 0.0879513i | ||||
\(583\) | 69.2384 | − | 25.2007i | 2.86756 | − | 1.04371i | ||||
\(584\) | 3.44472 | 0.142544 | ||||||||
\(585\) | −31.9967 | − | 28.2874i | −1.32290 | − | 1.16954i | ||||
\(586\) | 21.7578 | 0.898807 | ||||||||
\(587\) | 14.2385 | + | 11.9475i | 0.587687 | + | 0.493128i | 0.887461 | − | 0.460882i | \(-0.152467\pi\) |
−0.299774 | + | 0.954010i | \(0.596911\pi\) | |||||||
\(588\) | 1.69745 | + | 12.0049i | 0.0700015 | + | 0.495076i | ||||
\(589\) | −4.53862 | − | 25.7398i | −0.187011 | − | 1.06059i | ||||
\(590\) | 8.07656 | + | 2.93963i | 0.332507 | + | 0.121023i | ||||
\(591\) | −15.5186 | + | 8.69457i | −0.638351 | + | 0.357647i | ||||
\(592\) | 0.179903 | − | 1.02028i | 0.00739395 | − | 0.0419332i | ||||
\(593\) | 2.31853 | + | 4.01581i | 0.0952106 | + | 0.164910i | 0.909696 | − | 0.415274i | \(-0.136314\pi\) |
−0.814486 | + | 0.580183i | \(0.802981\pi\) | |||||||
\(594\) | −28.0413 | + | 3.83192i | −1.15055 | + | 0.157225i | ||||
\(595\) | −30.2939 | − | 21.6933i | −1.24193 | − | 0.889337i | ||||
\(596\) | −7.05614 | + | 2.56822i | −0.289031 | + | 0.105199i | ||||
\(597\) | −0.863961 | − | 0.513789i | −0.0353596 | − | 0.0210280i | ||||
\(598\) | 0.778580 | + | 4.41555i | 0.0318385 | + | 0.180565i | ||||
\(599\) | 4.58129 | + | 1.66745i | 0.187186 | + | 0.0681302i | 0.433913 | − | 0.900955i | \(-0.357133\pi\) |
−0.246726 | + | 0.969085i | \(0.579355\pi\) | |||||||
\(600\) | −2.48412 | − | 7.10926i | −0.101414 | − | 0.290235i | ||||
\(601\) | −13.9945 | − | 11.7428i | −0.570846 | − | 0.478997i | 0.311080 | − | 0.950384i | \(-0.399309\pi\) |
−0.881927 | + | 0.471387i | \(0.843754\pi\) | |||||||
\(602\) | −10.5555 | − | 7.55874i | −0.430211 | − | 0.308071i | ||||
\(603\) | 4.97496 | + | 1.95759i | 0.202596 | + | 0.0797191i | ||||
\(604\) | −2.60927 | + | 4.51940i | −0.106170 | + | 0.183892i | ||||
\(605\) | 43.7197 | + | 36.6852i | 1.77746 | + | 1.49147i | ||||
\(606\) | −5.60343 | − | 6.85570i | −0.227624 | − | 0.278494i | ||||
\(607\) | 7.38325 | + | 41.8725i | 0.299677 | + | 1.69955i | 0.647560 | + | 0.762015i | \(0.275790\pi\) |
−0.347883 | + | 0.937538i | \(0.613099\pi\) | |||||||
\(608\) | −6.34020 | − | 2.30764i | −0.257129 | − | 0.0935873i | ||||
\(609\) | 1.15930 | + | 18.1522i | 0.0469770 | + | 0.735565i | ||||
\(610\) | 2.36032 | − | 13.3861i | 0.0955667 | − | 0.541986i | ||||
\(611\) | 31.2538 | − | 54.1333i | 1.26440 | − | 2.19000i | ||||
\(612\) | −10.8113 | + | 8.60615i | −0.437021 | + | 0.347883i | ||||
\(613\) | −6.75607 | − | 11.7019i | −0.272875 | − | 0.472634i | 0.696722 | − | 0.717342i | \(-0.254641\pi\) |
−0.969597 | + | 0.244708i | \(0.921308\pi\) | |||||||
\(614\) | 4.84883 | − | 27.4991i | 0.195683 | − | 1.10977i | ||||
\(615\) | −44.1512 | − | 8.37401i | −1.78035 | − | 0.337672i | ||||
\(616\) | −8.14025 | − | 11.8913i | −0.327980 | − | 0.479114i | ||||
\(617\) | −7.46694 | + | 6.26551i | −0.300608 | + | 0.252240i | −0.780597 | − | 0.625034i | \(-0.785085\pi\) |
0.479989 | + | 0.877274i | \(0.340640\pi\) | |||||||
\(618\) | −16.7265 | − | 9.94708i | −0.672838 | − | 0.400130i | ||||
\(619\) | −6.39665 | + | 36.2772i | −0.257103 | + | 1.45810i | 0.533513 | + | 0.845792i | \(0.320872\pi\) |
−0.790616 | + | 0.612312i | \(0.790239\pi\) | |||||||
\(620\) | 5.92193 | − | 10.2571i | 0.237830 | − | 0.411934i | ||||
\(621\) | −1.89208 | + | 4.63210i | −0.0759265 | + | 0.185880i | ||||
\(622\) | −6.55323 | −0.262761 | ||||||||
\(623\) | −4.69027 | − | 18.2756i | −0.187912 | − | 0.732197i | ||||
\(624\) | −6.93165 | − | 4.12218i | −0.277488 | − | 0.165019i | ||||
\(625\) | 26.1566 | + | 9.52023i | 1.04626 | + | 0.380809i | ||||
\(626\) | −2.72095 | − | 0.990345i | −0.108751 | − | 0.0395822i | ||||
\(627\) | 20.9964 | + | 60.0893i | 0.838517 | + | 2.39974i | ||||
\(628\) | 0.316189 | − | 1.79319i | 0.0126173 | − | 0.0715563i | ||||
\(629\) | −2.38603 | + | 4.13272i | −0.0951372 | + | 0.164783i | ||||
\(630\) | 17.7728 | − | 16.5240i | 0.708086 | − | 0.658333i | ||||
\(631\) | 4.79740 | + | 8.30934i | 0.190982 | + | 0.330790i | 0.945576 | − | 0.325402i | \(-0.105500\pi\) |
−0.754594 | + | 0.656192i | \(0.772166\pi\) | |||||||
\(632\) | −1.71033 | + | 0.622508i | −0.0680332 | + | 0.0247620i | ||||
\(633\) | −0.307140 | + | 0.811130i | −0.0122077 | + | 0.0322395i | ||||
\(634\) | −11.3694 | + | 9.54005i | −0.451536 | + | 0.378884i | ||||
\(635\) | 7.83818 | + | 44.4526i | 0.311049 | + | 1.76405i | ||||
\(636\) | 14.8281 | + | 18.1420i | 0.587973 | + | 0.719375i | ||||
\(637\) | 32.2107 | − | 4.97931i | 1.27623 | − | 0.197288i | ||||
\(638\) | −10.8096 | − | 18.7227i | −0.427955 | − | 0.741239i | ||||
\(639\) | −18.7420 | + | 30.6093i | −0.741422 | + | 1.21088i | ||||
\(640\) | −1.52872 | − | 2.64781i | −0.0604278 | − | 0.104664i | ||||
\(641\) | 30.1731 | − | 10.9821i | 1.19177 | − | 0.433767i | 0.331423 | − | 0.943482i | \(-0.392471\pi\) |
0.860343 | + | 0.509715i | \(0.170249\pi\) | |||||||
\(642\) | 0.726646 | − | 0.843626i | 0.0286784 | − | 0.0332953i | ||||
\(643\) | 3.34393 | + | 18.9643i | 0.131872 | + | 0.747881i | 0.976987 | + | 0.213297i | \(0.0684203\pi\) |
−0.845116 | + | 0.534583i | \(0.820469\pi\) | |||||||
\(644\) | −2.54024 | + | 0.195183i | −0.100099 | + | 0.00769129i | ||||
\(645\) | −0.335397 | + | 25.9837i | −0.0132062 | + | 1.02311i | ||||
\(646\) | 23.8073 | + | 19.9767i | 0.936684 | + | 0.785971i | ||||
\(647\) | 21.1661 | − | 36.6608i | 0.832126 | − | 1.44128i | −0.0642234 | − | 0.997936i | \(-0.520457\pi\) |
0.896349 | − | 0.443349i | \(-0.146210\pi\) | |||||||
\(648\) | −4.09177 | − | 8.01607i | −0.160740 | − | 0.314901i | ||||
\(649\) | −7.65576 | − | 13.2602i | −0.300515 | − | 0.520507i | ||||
\(650\) | −19.0237 | + | 6.92405i | −0.746170 | + | 0.271584i | ||||
\(651\) | 17.6432 | + | 1.96209i | 0.691491 | + | 0.0769003i | ||||
\(652\) | 10.4027 | − | 8.72892i | 0.407402 | − | 0.341851i | ||||
\(653\) | −30.7590 | + | 25.8098i | −1.20369 | + | 1.01002i | −0.204174 | + | 0.978935i | \(0.565451\pi\) |
−0.999517 | + | 0.0310821i | \(0.990105\pi\) | |||||||
\(654\) | −9.40698 | − | 1.78419i | −0.367842 | − | 0.0697674i | ||||
\(655\) | −12.7759 | + | 4.65004i | −0.499195 | + | 0.181692i | ||||
\(656\) | −8.48592 | −0.331320 | ||||||||
\(657\) | 5.39637 | − | 8.81330i | 0.210532 | − | 0.343839i | ||||
\(658\) | 28.8777 | + | 20.6792i | 1.12577 | + | 0.806158i | ||||
\(659\) | −4.02198 | + | 22.8098i | −0.156674 | + | 0.888544i | 0.800565 | + | 0.599246i | \(0.204533\pi\) |
−0.957239 | + | 0.289298i | \(0.906578\pi\) | |||||||
\(660\) | −10.2142 | + | 26.9747i | −0.397585 | + | 1.04999i | ||||
\(661\) | 5.56457 | − | 4.66923i | 0.216437 | − | 0.181612i | −0.528123 | − | 0.849168i | \(-0.677104\pi\) |
0.744560 | + | 0.667556i | \(0.232660\pi\) | |||||||
\(662\) | −16.7861 | + | 14.0852i | −0.652410 | + | 0.547437i | ||||
\(663\) | 23.5086 | + | 28.7624i | 0.913000 | + | 1.11704i | ||||
\(664\) | 0.544950 | − | 3.09056i | 0.0211482 | − | 0.119937i | ||||
\(665\) | −44.3745 | − | 31.7763i | −1.72077 | − | 1.23223i | ||||
\(666\) | −2.32855 | − | 2.05861i | −0.0902294 | − | 0.0797695i | ||||
\(667\) | −3.82215 | −0.147994 | ||||||||
\(668\) | −4.27953 | + | 1.55762i | −0.165580 | + | 0.0602662i | ||||
\(669\) | −6.21512 | − | 17.7869i | −0.240290 | − | 0.687683i | ||||
\(670\) | 4.17386 | − | 3.50229i | 0.161250 | − | 0.135305i | ||||
\(671\) | −18.5495 | + | 15.5649i | −0.716096 | + | 0.600876i | ||||
\(672\) | 2.71589 | − | 3.69106i | 0.104768 | − | 0.142386i | ||||
\(673\) | −15.0020 | + | 5.46030i | −0.578286 | + | 0.210479i | −0.614570 | − | 0.788862i | \(-0.710670\pi\) |
0.0362833 | + | 0.999342i | \(0.488448\pi\) | |||||||
\(674\) | −11.4041 | − | 19.7524i | −0.439268 | − | 0.760835i | ||||
\(675\) | −22.0805 | − | 4.78148i | −0.849880 | − | 0.184039i | ||||
\(676\) | −4.34002 | + | 7.51713i | −0.166924 | + | 0.289120i | ||||
\(677\) | −10.5777 | − | 8.87577i | −0.406535 | − | 0.341124i | 0.416478 | − | 0.909146i | \(-0.363264\pi\) |
−0.823013 | + | 0.568022i | \(0.807709\pi\) | |||||||
\(678\) | −6.65185 | + | 3.72681i | −0.255463 | + | 0.143127i | ||||
\(679\) | −20.0815 | + | 1.54299i | −0.770657 | + | 0.0592146i | ||||
\(680\) | 2.44549 | + | 13.8690i | 0.0937802 | + | 0.531854i | ||||
\(681\) | 2.86982 | + | 8.21307i | 0.109972 | + | 0.314725i | ||||
\(682\) | −19.8270 | + | 7.21643i | −0.759214 | + | 0.276331i | ||||
\(683\) | −16.4377 | − | 28.4709i | −0.628971 | − | 1.08941i | −0.987759 | − | 0.155990i | \(-0.950143\pi\) |
0.358788 | − | 0.933419i | \(-0.383190\pi\) | |||||||
\(684\) | −15.8364 | + | 12.6063i | −0.605520 | + | 0.482014i | ||||
\(685\) | −19.5971 | − | 33.9432i | −0.748767 | − | 1.29690i | ||||
\(686\) | 1.02780 | + | 18.4917i | 0.0392417 | + | 0.706017i | ||||
\(687\) | 15.2521 | − | 40.2795i | 0.581905 | − | 1.53676i | ||||
\(688\) | 0.852099 | + | 4.83250i | 0.0324860 | + | 0.184237i | ||||
\(689\) | 48.2515 | − | 40.4878i | 1.83824 | − | 1.54246i | ||||
\(690\) | 3.22715 | + | 3.94836i | 0.122856 | + | 0.150312i | ||||
\(691\) | 2.63323 | − | 0.958418i | 0.100173 | − | 0.0364599i | −0.291448 | − | 0.956587i | \(-0.594137\pi\) |
0.391620 | + | 0.920127i | \(0.371915\pi\) | |||||||
\(692\) | 1.99126 | + | 3.44896i | 0.0756963 | + | 0.131110i | ||||
\(693\) | −43.1760 | + | 2.19832i | −1.64012 | + | 0.0835073i | ||||
\(694\) | −6.62844 | + | 11.4808i | −0.251612 | + | 0.435805i | ||||
\(695\) | −6.54327 | + | 37.1087i | −0.248200 | + | 1.40761i | ||||
\(696\) | 4.48669 | − | 5.20898i | 0.170067 | − | 0.197446i | ||||
\(697\) | 36.7302 | + | 13.3687i | 1.39126 | + | 0.506376i | ||||
\(698\) | −19.3642 | − | 7.04800i | −0.732946 | − | 0.266771i | ||||
\(699\) | 31.4742 | − | 17.6340i | 1.19046 | − | 0.666978i | ||||
\(700\) | −2.85958 | − | 11.1424i | −0.108082 | − | 0.421141i | ||||
\(701\) | 6.22770 | 0.235217 | 0.117608 | − | 0.993060i | \(-0.462477\pi\) | ||||
0.117608 | + | 0.993060i | \(0.462477\pi\) | |||||||
\(702\) | −21.4054 | + | 11.2769i | −0.807895 | + | 0.425620i | ||||
\(703\) | −3.49506 | + | 6.05362i | −0.131819 | + | 0.228317i | ||||
\(704\) | −0.945811 | + | 5.36396i | −0.0356466 | + | 0.202162i | ||||
\(705\) | 0.917576 | − | 71.0861i | 0.0345579 | − | 2.67726i | ||||
\(706\) | 4.52972 | − | 3.80088i | 0.170478 | − | 0.143048i | ||||
\(707\) | −7.64008 | − | 11.1607i | −0.287335 | − | 0.419740i | ||||
\(708\) | 3.17765 | − | 3.68921i | 0.119423 | − | 0.138649i | ||||
\(709\) | −5.31975 | + | 30.1698i | −0.199787 | + | 1.13305i | 0.705647 | + | 0.708564i | \(0.250657\pi\) |
−0.905434 | + | 0.424487i | \(0.860455\pi\) | |||||||
\(710\) | 18.2892 | + | 31.6779i | 0.686382 | + | 1.18885i | ||||
\(711\) | −1.08665 | + | 5.35106i | −0.0407525 | + | 0.200680i | ||||
\(712\) | −3.56569 | + | 6.17596i | −0.133630 | + | 0.231454i | ||||
\(713\) | −0.647754 | + | 3.67359i | −0.0242586 | + | 0.137577i | ||||
\(714\) | −17.5703 | + | 11.6977i | −0.657551 | + | 0.437774i | ||||
\(715\) | 72.8630 | + | 26.5200i | 2.72492 | + | 0.991790i | ||||
\(716\) | 0.879827 | + | 4.98975i | 0.0328807 | + | 0.186476i | ||||
\(717\) | 15.3791 | − | 2.50753i | 0.574343 | − | 0.0936454i | ||||
\(718\) | −5.95119 | − | 4.99364i | −0.222096 | − | 0.186361i | ||||
\(719\) | 3.52862 | − | 6.11175i | 0.131595 | − | 0.227930i | −0.792696 | − | 0.609617i | \(-0.791323\pi\) |
0.924292 | + | 0.381687i | \(0.124657\pi\) | |||||||
\(720\) | −9.16924 | − | 0.236752i | −0.341717 | − | 0.00882322i | ||||
\(721\) | −24.1690 | − | 17.3073i | −0.900100 | − | 0.644556i | ||||
\(722\) | 20.3181 | + | 17.0489i | 0.756160 | + | 0.634493i | ||||
\(723\) | −29.9282 | + | 34.7463i | −1.11304 | + | 1.29223i | ||||
\(724\) | 13.4164 | + | 4.88317i | 0.498617 | + | 0.181482i | ||||
\(725\) | −2.99677 | − | 16.9955i | −0.111297 | − | 0.631197i | ||||
\(726\) | 28.2063 | − | 15.8031i | 1.04683 | − | 0.586507i | ||||
\(727\) | −29.2545 | + | 10.6478i | −1.08499 | + | 0.394903i | −0.821762 | − | 0.569831i | \(-0.807009\pi\) |
−0.263226 | + | 0.964734i | \(0.584786\pi\) | |||||||
\(728\) | −10.0159 | − | 7.17232i | −0.371214 | − | 0.265824i | ||||
\(729\) | −26.9191 | − | 2.08888i | −0.997003 | − | 0.0773660i | ||||
\(730\) | −5.26600 | − | 9.12098i | −0.194903 | − | 0.337583i | ||||
\(731\) | 3.92490 | − | 22.2592i | 0.145168 | − | 0.823287i | ||||
\(732\) | −6.61836 | − | 3.93588i | −0.244622 | − | 0.145474i | ||||
\(733\) | −28.4923 | − | 10.3703i | −1.05239 | − | 0.383037i | −0.242824 | − | 0.970070i | \(-0.578074\pi\) |
−0.809563 | + | 0.587033i | \(0.800296\pi\) | |||||||
\(734\) | −4.86388 | − | 27.5844i | −0.179529 | − | 1.01816i | ||||
\(735\) | 29.1919 | − | 22.8467i | 1.07676 | − | 0.842712i | ||||
\(736\) | 0.737662 | + | 0.618972i | 0.0271906 | + | 0.0228156i | ||||
\(737\) | −9.70648 | −0.357543 | ||||||||
\(738\) | −13.2937 | + | 21.7112i | −0.489348 | + | 0.799200i | ||||
\(739\) | −3.82406 | −0.140670 | −0.0703351 | − | 0.997523i | \(-0.522407\pi\) | ||||
−0.0703351 | + | 0.997523i | \(0.522407\pi\) | |||||||
\(740\) | −2.97653 | + | 1.08337i | −0.109419 | + | 0.0398254i | ||||
\(741\) | 34.4355 | + | 42.1312i | 1.26502 | + | 1.54773i | ||||
\(742\) | 20.2176 | + | 29.5340i | 0.742213 | + | 1.08423i | ||||
\(743\) | 37.4971 | + | 13.6478i | 1.37564 | + | 0.500691i | 0.920852 | − | 0.389911i | \(-0.127494\pi\) |
0.454784 | + | 0.890602i | \(0.349717\pi\) | |||||||
\(744\) | −4.24615 | − | 5.19509i | −0.155672 | − | 0.190461i | ||||
\(745\) | 17.5870 | + | 14.7573i | 0.644338 | + | 0.540664i | ||||
\(746\) | 5.28157 | 0.193372 | ||||||||
\(747\) | −7.05349 | − | 6.23581i | −0.258074 | − | 0.228156i | ||||
\(748\) | 12.5442 | − | 21.7272i | 0.458661 | − | 0.794424i | ||||
\(749\) | 1.21530 | − | 1.18985i | 0.0444059 | − | 0.0434760i | ||||
\(750\) | 2.25371 | − | 2.61652i | 0.0822938 | − | 0.0955419i | ||||
\(751\) | 29.2797 | − | 24.5686i | 1.06843 | − | 0.896522i | 0.0735233 | − | 0.997293i | \(-0.476576\pi\) |
0.994910 | + | 0.100772i | \(0.0321312\pi\) | |||||||
\(752\) | −2.33117 | − | 13.2207i | −0.0850090 | − | 0.482110i | ||||
\(753\) | −16.8409 | + | 9.43542i | −0.613718 | + | 0.343846i | ||||
\(754\) | −14.1575 | − | 11.8796i | −0.515587 | − | 0.432629i | ||||
\(755\) | 15.9554 | 0.580675 | ||||||||
\(756\) | −5.18894 | − | 12.7309i | −0.188720 | − | 0.463017i | ||||
\(757\) | 0.444146 | 0.0161428 | 0.00807139 | − | 0.999967i | \(-0.497431\pi\) | ||||
0.00807139 | + | 0.999967i | \(0.497431\pi\) | |||||||
\(758\) | 26.7868 | + | 22.4768i | 0.972939 | + | 0.816393i | ||||
\(759\) | 0.117252 | − | 9.08368i | 0.00425597 | − | 0.329717i | ||||
\(760\) | 3.58215 | + | 20.3154i | 0.129938 | + | 0.736917i | ||||
\(761\) | 7.26923 | − | 6.09961i | 0.263509 | − | 0.221111i | −0.501454 | − | 0.865184i | \(-0.667201\pi\) |
0.764964 | + | 0.644074i | \(0.222757\pi\) | |||||||
\(762\) | 25.1232 | + | 4.76503i | 0.910117 | + | 0.172619i | ||||
\(763\) | −14.0864 | − | 3.93464i | −0.509961 | − | 0.142443i | ||||
\(764\) | −3.49470 | + | 6.05301i | −0.126434 | + | 0.218990i | ||||
\(765\) | 39.3149 | + | 15.4699i | 1.42143 | + | 0.559317i | ||||
\(766\) | −12.6266 | −0.456218 | ||||||||
\(767\) | −10.0269 | − | 8.41359i | −0.362051 | − | 0.303797i | ||||
\(768\) | −1.70948 | + | 0.278727i | −0.0616854 | + | 0.0100577i | ||||
\(769\) | −12.5921 | − | 4.58314i | −0.454082 | − | 0.165272i | 0.104846 | − | 0.994488i | \(-0.466565\pi\) |
−0.558928 | + | 0.829216i | \(0.688787\pi\) | |||||||
\(770\) | −19.0418 | + | 39.7323i | −0.686220 | + | 1.43185i | ||||
\(771\) | −15.9374 | + | 42.0893i | −0.573972 | + | 1.51581i | ||||
\(772\) | −17.0540 | + | 6.20714i | −0.613786 | + | 0.223400i | ||||
\(773\) | −39.7566 | −1.42995 | −0.714973 | − | 0.699152i | \(-0.753561\pi\) | ||||
−0.714973 | + | 0.699152i | \(0.753561\pi\) | |||||||
\(774\) | 13.6988 | + | 5.39031i | 0.492392 | + | 0.193751i | ||||
\(775\) | −16.8428 | −0.605013 | ||||||||
\(776\) | 5.83149 | + | 4.89320i | 0.209338 | + | 0.175656i | ||||
\(777\) | −3.27731 | − | 3.43500i | −0.117573 | − | 0.123230i | ||||
\(778\) | −1.83699 | − | 10.4181i | −0.0658594 | − | 0.373507i | ||||
\(779\) | 53.8024 | + | 19.5825i | 1.92767 | + | 0.701615i | ||||
\(780\) | −0.318250 | + | 24.6554i | −0.0113952 | + | 0.882803i | ||||
\(781\) | 11.3155 | − | 64.1733i | 0.404900 | − | 2.29630i | ||||
\(782\) | −2.21775 | − | 3.84125i | −0.0793064 | − | 0.137363i | ||||
\(783\) | −6.29848 | − | 19.6393i | −0.225089 | − | 0.701853i | ||||
\(784\) | 4.61197 | − | 5.26590i | 0.164713 | − | 0.188068i | ||||
\(785\) | −5.23141 | + | 1.90408i | −0.186717 | + | 0.0679594i | ||||
\(786\) | −0.0994099 | + | 7.70145i | −0.00354583 | + | 0.274702i | ||||
\(787\) | 0.752137 | + | 4.26558i | 0.0268108 | + | 0.152052i | 0.995274 | − | 0.0971042i | \(-0.0309580\pi\) |
−0.968463 | + | 0.249156i | \(0.919847\pi\) | |||||||
\(788\) | 9.65071 | + | 3.51257i | 0.343792 | + | 0.125130i | ||||
\(789\) | −1.24494 | − | 0.236124i | −0.0443211 | − | 0.00840623i | ||||
\(790\) | 4.26289 | + | 3.57699i | 0.151667 | + | 0.127264i | ||||
\(791\) | −10.6072 | + | 4.81025i | −0.377149 | + | 0.171033i | ||||
\(792\) | 12.2420 | + | 10.8228i | 0.435000 | + | 0.384572i | ||||
\(793\) | −10.3501 | + | 17.9269i | −0.367543 | + | 0.636602i | ||||
\(794\) | −6.03045 | − | 5.06015i | −0.214013 | − | 0.179578i | ||||
\(795\) | 25.3685 | − | 66.9960i | 0.899729 | − | 2.37610i | ||||
\(796\) | 0.100776 | + | 0.571530i | 0.00357192 | + | 0.0202574i | ||||
\(797\) | 1.19588 | + | 0.435265i | 0.0423602 | + | 0.0154179i | 0.363113 | − | 0.931745i | \(-0.381714\pi\) |
−0.320753 | + | 0.947163i | \(0.603936\pi\) | |||||||
\(798\) | −25.7370 | + | 17.1347i | −0.911078 | + | 0.606563i | ||||
\(799\) | −10.7377 | + | 60.8966i | −0.379873 | + | 2.15437i | ||||
\(800\) | −2.17395 | + | 3.76539i | −0.0768606 | + | 0.133126i | ||||
\(801\) | 10.2153 | + | 18.7978i | 0.360939 | + | 0.664189i | ||||
\(802\) | −14.3674 | − | 24.8850i | −0.507330 | − | 0.878721i | ||||
\(803\) | −3.25806 | + | 18.4774i | −0.114974 | + | 0.652052i | ||||
\(804\) | −1.01817 | − | 2.91389i | −0.0359082 | − | 0.102765i | ||||
\(805\) | 4.40011 | + | 6.42769i | 0.155083 | + | 0.226546i | ||||
\(806\) | −13.8172 | + | 11.5940i | −0.486690 | + | 0.408382i | ||||
\(807\) | 3.71669 | − | 2.08234i | 0.130834 | − | 0.0733018i | ||||
\(808\) | −0.887697 | + | 5.03438i | −0.0312291 | + | 0.177109i | ||||
\(809\) | −6.54342 | + | 11.3335i | −0.230054 | + | 0.398466i | −0.957824 | − | 0.287356i | \(-0.907224\pi\) |
0.727770 | + | 0.685822i | \(0.240557\pi\) | |||||||
\(810\) | −14.9699 | + | 23.0886i | −0.525989 | + | 0.811249i | ||||
\(811\) | 6.82381 | 0.239616 | 0.119808 | − | 0.992797i | \(-0.461772\pi\) | ||||
0.119808 | + | 0.992797i | \(0.461772\pi\) | |||||||
\(812\) | 7.50386 | − | 7.34673i | 0.263334 | − | 0.257820i | ||||
\(813\) | 0.0695107 | − | 5.38510i | 0.00243785 | − | 0.188864i | ||||
\(814\) | 5.30258 | + | 1.92998i | 0.185855 | + | 0.0676459i | ||||
\(815\) | −39.0154 | − | 14.2004i | −1.36665 | − | 0.497420i | ||||
\(816\) | 7.83835 | + | 1.48667i | 0.274397 | + | 0.0520440i | ||||
\(817\) | 5.74920 | − | 32.6053i | 0.201139 | − | 1.14072i | ||||
\(818\) | −1.66945 | + | 2.89157i | −0.0583710 | + | 0.101101i | ||||
\(819\) | −34.0408 | + | 14.3897i | −1.18948 | + | 0.502817i | ||||
\(820\) | 12.9726 | + | 22.4691i | 0.453022 | + | 0.784657i | ||||
\(821\) | −8.92936 | + | 3.25002i | −0.311637 | + | 0.113426i | −0.493104 | − | 0.869971i | \(-0.664138\pi\) |
0.181467 | + | 0.983397i | \(0.441915\pi\) | |||||||
\(822\) | −21.9143 | + | 3.57309i | −0.764351 | + | 0.124626i | ||||
\(823\) | 11.5374 | − | 9.68103i | 0.402168 | − | 0.337459i | −0.419163 | − | 0.907911i | \(-0.637676\pi\) |
0.821331 | + | 0.570452i | \(0.193232\pi\) | |||||||
\(824\) | 1.95105 | + | 11.0650i | 0.0679681 | + | 0.385466i | ||||
\(825\) | 40.4833 | − | 6.60073i | 1.40945 | − | 0.229808i | ||||
\(826\) | 5.31453 | − | 5.20324i | 0.184916 | − | 0.181044i | ||||
\(827\) | 14.7262 | + | 25.5066i | 0.512082 | + | 0.886952i | 0.999902 | + | 0.0140074i | \(0.00445885\pi\) |
−0.487820 | + | 0.872944i | \(0.662208\pi\) | |||||||
\(828\) | 2.73923 | − | 0.917646i | 0.0951947 | − | 0.0318904i | ||||
\(829\) | −11.2182 | − | 19.4305i | −0.389624 | − | 0.674848i | 0.602775 | − | 0.797911i | \(-0.294062\pi\) |
−0.992399 | + | 0.123063i | \(0.960728\pi\) | |||||||
\(830\) | −9.01631 | + | 3.28167i | −0.312961 | + | 0.113908i | ||||
\(831\) | 6.48576 | + | 1.23013i | 0.224989 | + | 0.0426728i | ||||
\(832\) | 0.808538 | + | 4.58544i | 0.0280310 | + | 0.158972i | ||||
\(833\) | −28.2582 | + | 15.5271i | −0.979088 | + | 0.537981i | ||||
\(834\) | 18.3474 | + | 10.9110i | 0.635318 | + | 0.377817i | ||||
\(835\) | 10.6665 | + | 8.95024i | 0.369129 | + | 0.309736i | ||||
\(836\) | 18.3747 | − | 31.8260i | 0.635504 | − | 1.10073i | ||||
\(837\) | −19.9435 | + | 2.72532i | −0.689347 | + | 0.0942010i | ||||
\(838\) | −11.3114 | − | 19.5919i | −0.390746 | − | 0.676792i | ||||
\(839\) | −32.0170 | + | 11.6532i | −1.10535 | + | 0.402314i | −0.829285 | − | 0.558825i | \(-0.811252\pi\) |
−0.276063 | + | 0.961139i | \(0.589030\pi\) | |||||||
\(840\) | −13.9251 | − | 1.54860i | −0.480461 | − | 0.0534317i | ||||
\(841\) | −10.1466 | + | 8.51397i | −0.349881 | + | 0.293585i | ||||
\(842\) | 7.15804 | − | 6.00631i | 0.246682 | − | 0.206991i | ||||
\(843\) | −4.20206 | + | 4.87853i | −0.144726 | + | 0.168025i | ||||
\(844\) | 0.470556 | − | 0.171268i | 0.0161972 | − | 0.00589530i | ||||
\(845\) | 26.5386 | 0.912956 | ||||||||
\(846\) | −37.4770 | − | 14.7468i | −1.28849 | − | 0.507005i | ||||
\(847\) | 44.9785 | − | 20.3972i | 1.54548 | − | 0.700857i | ||||
\(848\) | 2.34908 | − | 13.3223i | 0.0806676 | − | 0.457489i | ||||
\(849\) | −52.3838 | + | 8.54107i | −1.79781 | + | 0.293129i | ||||
\(850\) | 15.3416 | − | 12.8731i | 0.526213 | − | 0.441545i | ||||
\(851\) | 0.764231 | − | 0.641266i | 0.0261975 | − | 0.0219823i | ||||
\(852\) | 20.4518 | − | 3.33463i | 0.700667 | − | 0.114242i | ||||
\(853\) | −6.87816 | + | 39.0080i | −0.235504 | + | 1.33561i | 0.606046 | + | 0.795429i | \(0.292755\pi\) |
−0.841550 | + | 0.540179i | \(0.818357\pi\) | |||||||
\(854\) | −9.56321 | − | 6.84816i | −0.327246 | − | 0.234339i | ||||
\(855\) | 57.5885 | + | 22.6604i | 1.96948 | + | 0.774969i | ||||
\(856\) | −0.642837 | −0.0219717 | ||||||||
\(857\) | 19.9550 | − | 7.26304i | 0.681651 | − | 0.248101i | 0.0220948 | − | 0.999756i | \(-0.492966\pi\) |
0.659556 | + | 0.751655i | \(0.270744\pi\) | |||||||
\(858\) | 28.6673 | − | 33.2823i | 0.978684 | − | 1.13624i | ||||
\(859\) | −23.1627 | + | 19.4358i | −0.790302 | + | 0.663142i | −0.945820 | − | 0.324691i | \(-0.894740\pi\) |
0.155518 | + | 0.987833i | \(0.450295\pi\) | |||||||
\(860\) | 11.4929 | − | 9.64372i | 0.391906 | − | 0.328848i | ||||
\(861\) | −23.0469 | + | 31.3221i | −0.785435 | + | 1.06745i | ||||
\(862\) | −23.9301 | + | 8.70984i | −0.815062 | + | 0.296658i | ||||
\(863\) | −13.6663 | − | 23.6706i | −0.465205 | − | 0.805758i | 0.534006 | − | 0.845481i | \(-0.320686\pi\) |
−0.999211 | + | 0.0397226i | \(0.987353\pi\) | |||||||
\(864\) | −1.96488 | + | 4.81033i | −0.0668465 | + | 0.163651i | ||||
\(865\) | 6.08814 | − | 10.5450i | 0.207003 | − | 0.358540i | ||||
\(866\) | −2.42351 | − | 2.03357i | −0.0823543 | − | 0.0691035i | ||||
\(867\) | −6.27731 | − | 3.73306i | −0.213189 | − | 0.126781i | ||||
\(868\) | −5.78948 | − | 8.45729i | −0.196508 | − | 0.287059i | ||||
\(869\) | −1.72146 | − | 9.76291i | −0.0583967 | − | 0.331184i | ||||
\(870\) | −20.6513 | − | 3.91686i | −0.700144 | − | 0.132794i | ||||
\(871\) | −7.79728 | + | 2.83798i | −0.264201 | + | 0.0961613i | ||||
\(872\) | 2.76397 | + | 4.78734i | 0.0936000 | + | 0.162120i | ||||
\(873\) | 21.6546 | − | 7.25433i | 0.732897 | − | 0.245522i | ||||
\(874\) | −3.24856 | − | 5.62666i | −0.109884 | − | 0.190325i | ||||
\(875\) | 3.76926 | − | 3.69033i | 0.127424 | − | 0.124756i | ||||
\(876\) | −5.88867 | + | 0.960136i | −0.198960 | + | 0.0324400i | ||||
\(877\) | −7.34485 | − | 41.6547i | −0.248018 | − | 1.40658i | −0.813378 | − | 0.581736i | \(-0.802374\pi\) |
0.565360 | − | 0.824844i | \(-0.308737\pi\) | |||||||
\(878\) | −27.8845 | + | 23.3979i | −0.941058 | + | 0.789641i | ||||
\(879\) | −37.1945 | + | 6.06449i | −1.25454 | + | 0.204550i | ||||
\(880\) | 15.6487 | − | 5.69564i | 0.527516 | − | 0.192000i | ||||
\(881\) | 2.69867 | + | 4.67424i | 0.0909206 | + | 0.157479i | 0.907899 | − | 0.419190i | \(-0.137686\pi\) |
−0.816978 | + | 0.576669i | \(0.804352\pi\) | |||||||
\(882\) | −6.24784 | − | 20.0491i | −0.210376 | − | 0.675087i | ||||
\(883\) | 23.7065 | − | 41.0609i | 0.797787 | − | 1.38181i | −0.123267 | − | 0.992374i | \(-0.539337\pi\) |
0.921054 | − | 0.389434i | \(-0.127329\pi\) | |||||||
\(884\) | 3.72425 | − | 21.1213i | 0.125260 | − | 0.710385i | ||||
\(885\) | −14.6261 | − | 2.77407i | −0.491649 | − | 0.0932495i | ||||
\(886\) | 7.46335 | + | 2.71644i | 0.250736 | + | 0.0912605i | ||||
\(887\) | 21.4582 | + | 7.81015i | 0.720496 | + | 0.262239i | 0.676137 | − | 0.736776i | \(-0.263653\pi\) |
0.0443599 | + | 0.999016i | \(0.485875\pi\) | |||||||
\(888\) | −0.0231606 | + | 1.79429i | −0.000777218 | + | 0.0602123i | ||||
\(889\) | 37.6204 | + | 10.5082i | 1.26175 | + | 0.352434i | ||||
\(890\) | 21.8037 | 0.730863 | ||||||||
\(891\) | 46.8679 | − | 14.3664i | 1.57014 | − | 0.481294i | ||||
\(892\) | −5.43908 | + | 9.42076i | −0.182114 | + | 0.315430i | ||||
\(893\) | −15.7286 | + | 89.2015i | −0.526338 | + | 2.98501i | ||||
\(894\) | 11.3465 | − | 6.35705i | 0.379483 | − | 0.212612i | ||||
\(895\) | 11.8669 | − | 9.95752i | 0.396667 | − | 0.332843i | ||||
\(896\) | −2.63798 | + | 0.202693i | −0.0881286 | + | 0.00677150i | ||||
\(897\) | −2.56170 | − | 7.33127i | −0.0855325 | − | 0.244784i | ||||
\(898\) | −2.09010 | + | 11.8536i | −0.0697477 | + | 0.395559i | ||||
\(899\) | −7.68795 | − | 13.3159i | −0.256407 | − | 0.444111i | ||||
\(900\) | 6.22809 | + | 11.4607i | 0.207603 | + | 0.382024i | ||||
\(901\) | −31.1556 | + | 53.9630i | −1.03794 | + | 1.79777i | ||||
\(902\) | 8.02608 | − | 45.5182i | 0.267239 | − | 1.51559i | ||||
\(903\) | 20.1512 | + | 9.97939i | 0.670591 | + | 0.332093i | ||||
\(904\) | 4.13665 | + | 1.50562i | 0.137583 | + | 0.0500761i | ||||
\(905\) | −7.58014 | − | 42.9891i | −0.251972 | − | 1.42901i | ||||
\(906\) | 3.20082 | − | 8.45308i | 0.106340 | − | 0.280835i | ||||
\(907\) | 12.5938 | + | 10.5675i | 0.418171 | + | 0.350887i | 0.827467 | − | 0.561515i | \(-0.189781\pi\) |
−0.409296 | + | 0.912402i | \(0.634226\pi\) | |||||||
\(908\) | 2.51148 | − | 4.35001i | 0.0833464 | − | 0.144360i | ||||
\(909\) | 11.4898 | + | 10.1578i | 0.381093 | + | 0.336914i | ||||
\(910\) | −3.67951 | + | 37.4847i | −0.121975 | + | 1.24260i | ||||
\(911\) | −40.1004 | − | 33.6482i | −1.32858 | − | 1.11481i | −0.984406 | − | 0.175910i | \(-0.943713\pi\) |
−0.344178 | − | 0.938904i | \(-0.611842\pi\) | |||||||
\(912\) | 11.4816 | + | 2.17768i | 0.380195 | + | 0.0721102i | ||||
\(913\) | 16.0622 | + | 5.84618i | 0.531583 | + | 0.193480i | ||||
\(914\) | 2.75019 | + | 15.5971i | 0.0909681 | + | 0.515906i | ||||
\(915\) | −0.303867 | + | 23.5410i | −0.0100455 | + | 0.778243i | ||||
\(916\) | −23.3671 | + | 8.50493i | −0.772071 | + | 0.281011i | ||||
\(917\) | −1.14935 | + | 11.7089i | −0.0379548 | + | 0.386661i | ||||
\(918\) | 16.0829 | − | 17.7254i | 0.530815 | − | 0.585025i | ||||
\(919\) | 16.5713 | + | 28.7023i | 0.546637 | + | 0.946803i | 0.998502 | + | 0.0547163i | \(0.0174255\pi\) |
−0.451865 | + | 0.892086i | \(0.649241\pi\) | |||||||
\(920\) | 0.511246 | − | 2.89942i | 0.0168553 | − | 0.0955911i | ||||
\(921\) | −0.624235 | + | 48.3605i | −0.0205693 | + | 1.59353i | ||||
\(922\) | −13.6284 | − | 4.96034i | −0.448828 | − | 0.163360i | ||||
\(923\) | −9.67317 | − | 54.8593i | −0.318396 | − | 1.80571i | ||||
\(924\) | 17.2300 | + | 18.0590i | 0.566825 | + | 0.594097i | ||||
\(925\) | 3.45064 | + | 2.89543i | 0.113456 | + | 0.0952013i | ||||
\(926\) | −42.4872 | −1.39622 | ||||||||
\(927\) | 31.3661 | + | 12.3422i | 1.03020 | + | 0.405371i | ||||
\(928\) | −3.96921 | −0.130296 | ||||||||
\(929\) | −49.1911 | + | 17.9041i | −1.61391 | + | 0.587414i | −0.982208 | − | 0.187799i | \(-0.939865\pi\) |
−0.631700 | + | 0.775213i | \(0.717643\pi\) | |||||||
\(930\) | −7.26448 | + | 19.1849i | −0.238212 | + | 0.629096i | ||||
\(931\) | −41.3926 | + | 22.7441i | −1.35659 | + | 0.745407i | ||||
\(932\) | −19.5732 | − | 7.12405i | −0.641140 | − | 0.233356i | ||||
\(933\) | 11.2026 | − | 1.82656i | 0.366757 | − | 0.0597989i | ||||
\(934\) | 10.8852 | + | 9.13374i | 0.356173 | + | 0.298865i | ||||
\(935\) | −76.7060 | −2.50856 | ||||||||
\(936\) | 12.9985 | + | 5.11474i | 0.424868 | + | 0.167180i | ||||
\(937\) | 2.27119 | − | 3.93382i | 0.0741965 | − | 0.128512i | −0.826540 | − | 0.562878i | \(-0.809694\pi\) |
0.900737 | + | 0.434366i | \(0.143027\pi\) | |||||||
\(938\) | −1.17206 | − | 4.56694i | −0.0382692 | − | 0.149116i | ||||
\(939\) | 4.92744 | + | 0.934571i | 0.160801 | + | 0.0304986i | ||||
\(940\) | −31.4423 | + | 26.3832i | −1.02553 | + | 0.860526i | ||||
\(941\) | 6.55146 | + | 37.1552i | 0.213571 | + | 1.21122i | 0.883368 | + | 0.468679i | \(0.155270\pi\) |
−0.669797 | + | 0.742544i | \(0.733619\pi\) | |||||||
\(942\) | −0.0407059 | + | 3.15355i | −0.00132627 | + | 0.102748i | ||||
\(943\) | −6.25974 | − | 5.25255i | −0.203845 | − | 0.171046i | ||||
\(944\) | −2.81115 | −0.0914951 | ||||||||
\(945\) | −25.7765 | + | 33.2012i | −0.838511 | + | 1.08004i | ||||
\(946\) | −26.7273 | −0.868978 | ||||||||
\(947\) | −4.53261 | − | 3.80331i | −0.147290 | − | 0.123591i | 0.566165 | − | 0.824292i | \(-0.308426\pi\) |
−0.713455 | + | 0.700701i | \(0.752871\pi\) | |||||||
\(948\) | 2.75025 | − | 1.54088i | 0.0893241 | − | 0.0500454i | ||||
\(949\) | 2.78519 | + | 15.7956i | 0.0904110 | + | 0.512746i | ||||
\(950\) | 22.4724 | − | 18.8566i | 0.729102 | − | 0.611789i | ||||
\(951\) | 16.7766 | − | 19.4774i | 0.544020 | − | 0.631599i | ||||
\(952\) | 11.7375 | + | 3.27853i | 0.380413 | + | 0.106258i | ||||
\(953\) | −21.1519 | + | 36.6362i | −0.685179 | + | 1.18676i | 0.288202 | + | 0.957570i | \(0.406943\pi\) |
−0.973381 | + | 0.229195i | \(0.926391\pi\) | |||||||
\(954\) | −30.4050 | − | 26.8803i | −0.984398 | − | 0.870280i | ||||
\(955\) | 21.3696 | 0.691505 | ||||||||
\(956\) | −6.89162 | − | 5.78276i | −0.222891 | − | 0.187028i | ||||
\(957\) | 23.6972 | + | 28.9931i | 0.766022 | + | 0.937215i | ||||
\(958\) | −8.49697 | − | 3.09265i | −0.274525 | − | 0.0999188i | ||||
\(959\) | −33.8171 | + | 2.59839i | −1.09201 | + | 0.0839063i | ||||
\(960\) | 3.35132 | + | 4.10028i | 0.108163 | + | 0.132336i | ||||
\(961\) | 15.0292 | − | 5.47018i | 0.484812 | − | 0.176457i | ||||
\(962\) | 4.82389 | 0.155528 | ||||||||
\(963\) | −1.00704 | + | 1.64469i | −0.0324515 | + | 0.0529995i | ||||
\(964\) | 26.4764 | 0.852748 | ||||||||
\(965\) | 42.5061 | + | 35.6668i | 1.36832 | + | 1.14816i | ||||
\(966\) | 4.28807 | − | 1.04169i | 0.137966 | − | 0.0335159i | ||||
\(967\) | −3.45181 | − | 19.5762i | −0.111003 | − | 0.629528i | −0.988652 | − | 0.150224i | \(-0.952000\pi\) |
0.877649 | − | 0.479304i | \(-0.159111\pi\) | |||||||
\(968\) | −17.5409 | − | 6.38437i | −0.563787 | − | 0.205202i | ||||
\(969\) | −46.2660 | − | 27.5139i | −1.48628 | − | 0.883875i | ||||
\(970\) | 4.04159 | − | 22.9210i | 0.129768 | − | 0.735949i | ||||
\(971\) | −18.2484 | − | 31.6071i | −0.585618 | − | 1.01432i | −0.994798 | − | 0.101867i | \(-0.967518\pi\) |
0.409180 | − | 0.912454i | \(-0.365815\pi\) | |||||||
\(972\) | 9.22909 | + | 12.5628i | 0.296023 | + | 0.402952i | ||||
\(973\) | 26.5111 | + | 18.9844i | 0.849906 | + | 0.608613i | ||||
\(974\) | −2.38000 | + | 0.866248i | −0.0762600 | + | 0.0277564i | ||||
\(975\) | 30.5906 | − | 17.1389i | 0.979684 | − | 0.548885i | ||||
\(976\) | 0.771995 | + | 4.37820i | 0.0247110 | + | 0.140143i | ||||
\(977\) | −40.6419 | − | 14.7924i | −1.30025 | − | 0.473252i | −0.403171 | − | 0.915125i | \(-0.632092\pi\) |
−0.897078 | + | 0.441873i | \(0.854314\pi\) | |||||||
\(978\) | −15.3502 | + | 17.8214i | −0.490846 | + | 0.569866i | ||||
\(979\) | −29.7552 | − | 24.9676i | −0.950979 | − | 0.797966i | ||||
\(980\) | −20.9935 | − | 4.16157i | −0.670614 | − | 0.132936i | ||||
\(981\) | 16.5783 | + | 0.428056i | 0.529305 | + | 0.0136668i | ||||
\(982\) | −12.7052 | + | 22.0061i | −0.405441 | + | 0.702244i | ||||
\(983\) | −4.40008 | − | 3.69211i | −0.140341 | − | 0.117760i | 0.569915 | − | 0.821704i | \(-0.306976\pi\) |
−0.710256 | + | 0.703944i | \(0.751421\pi\) | |||||||
\(984\) | 14.5065 | − | 2.36525i | 0.462450 | − | 0.0754015i | ||||
\(985\) | −5.45256 | − | 30.9230i | −0.173733 | − | 0.985289i | ||||
\(986\) | 17.1802 | + | 6.25308i | 0.547129 | + | 0.199139i | ||||
\(987\) | −55.1297 | − | 27.3016i | −1.75480 | − | 0.869019i | ||||
\(988\) | 5.45528 | − | 30.9384i | 0.173556 | − | 0.984283i | ||||
\(989\) | −2.36262 | + | 4.09217i | −0.0751268 | + | 0.130124i | ||||
\(990\) | 9.94230 | − | 48.9595i | 0.315987 | − | 1.55604i | ||||
\(991\) | 11.2393 | + | 19.4670i | 0.357027 | + | 0.618390i | 0.987463 | − | 0.157852i | \(-0.0504569\pi\) |
−0.630435 | + | 0.776242i | \(0.717124\pi\) | |||||||
\(992\) | −0.672677 | + | 3.81494i | −0.0213575 | + | 0.121125i | ||||
\(993\) | 24.7695 | − | 28.7571i | 0.786037 | − | 0.912578i | ||||
\(994\) | 31.5602 | − | 2.42497i | 1.00103 | − | 0.0769155i | ||||
\(995\) | 1.35925 | − | 1.14054i | 0.0430911 | − | 0.0361577i | ||||
\(996\) | −0.0701565 | + | 5.43514i | −0.00222299 | + | 0.172219i | ||||
\(997\) | −3.43330 | + | 19.4712i | −0.108734 | + | 0.616660i | 0.880929 | + | 0.473248i | \(0.156919\pi\) |
−0.989663 | + | 0.143412i | \(0.954193\pi\) | |||||||
\(998\) | 17.0766 | − | 29.5775i | 0.540550 | − | 0.936260i | ||||
\(999\) | 4.55439 | + | 2.87012i | 0.144094 | + | 0.0908064i |
(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 | 378.2.w.a.277.2 | yes | 72 | |
7.2 | even | 3 | 378.2.v.b.331.10 | yes | 72 | ||
27.4 | even | 9 | 378.2.v.b.193.10 | ✓ | 72 | ||
189.58 | even | 9 | inner | 378.2.w.a.247.2 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.b.193.10 | ✓ | 72 | 27.4 | even | 9 | ||
378.2.v.b.331.10 | yes | 72 | 7.2 | even | 3 | ||
378.2.w.a.247.2 | yes | 72 | 189.58 | even | 9 | inner | |
378.2.w.a.277.2 | yes | 72 | 1.1 | even | 1 | trivial |