Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(307,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.307");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.e (of order \(3\), degree \(2\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(58\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 681.1 | ||
Character | \(\chi\) | \(=\) | 731.681 |
Dual form | 731.2.e.a.307.1 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.82259 | −1.99587 | −0.997937 | − | 0.0641944i | \(-0.979552\pi\) | ||||
−0.997937 | + | 0.0641944i | \(0.979552\pi\) | |||||||
\(3\) | 0.178900 | + | 0.309865i | 0.103288 | + | 0.178900i | 0.913038 | − | 0.407876i | \(-0.133730\pi\) |
−0.809749 | + | 0.586776i | \(0.800397\pi\) | |||||||
\(4\) | 5.96703 | 2.98352 | ||||||||
\(5\) | −1.59268 | − | 2.75860i | −0.712267 | − | 1.23368i | −0.964004 | − | 0.265888i | \(-0.914335\pi\) |
0.251737 | − | 0.967796i | \(-0.418998\pi\) | |||||||
\(6\) | −0.504963 | − | 0.874622i | −0.206150 | − | 0.357063i | ||||
\(7\) | 1.57025 | − | 2.71975i | 0.593498 | − | 1.02797i | −0.400259 | − | 0.916402i | \(-0.631080\pi\) |
0.993757 | − | 0.111566i | \(-0.0355868\pi\) | |||||||
\(8\) | −11.1973 | −3.95885 | ||||||||
\(9\) | 1.43599 | − | 2.48721i | 0.478663 | − | 0.829069i | ||||
\(10\) | 4.49548 | + | 7.78640i | 1.42160 | + | 2.46228i | ||||
\(11\) | 4.39128 | 1.32402 | 0.662011 | − | 0.749494i | \(-0.269703\pi\) | ||||
0.662011 | + | 0.749494i | \(0.269703\pi\) | |||||||
\(12\) | 1.06750 | + | 1.84897i | 0.308162 | + | 0.533752i | ||||
\(13\) | 1.82274 | − | 3.15707i | 0.505537 | − | 0.875615i | −0.494443 | − | 0.869210i | \(-0.664628\pi\) |
0.999979 | − | 0.00640491i | \(-0.00203876\pi\) | |||||||
\(14\) | −4.43217 | + | 7.67675i | −1.18455 | + | 2.05170i | ||||
\(15\) | 0.569862 | − | 0.987029i | 0.147138 | − | 0.254850i | ||||
\(16\) | 19.6714 | 4.91785 | ||||||||
\(17\) | 0.500000 | − | 0.866025i | 0.121268 | − | 0.210042i | ||||
\(18\) | −4.05321 | + | 7.02037i | −0.955352 | + | 1.65472i | ||||
\(19\) | −1.25913 | − | 2.18088i | −0.288864 | − | 0.500328i | 0.684675 | − | 0.728849i | \(-0.259944\pi\) |
−0.973539 | + | 0.228521i | \(0.926611\pi\) | |||||||
\(20\) | −9.50356 | − | 16.4607i | −2.12506 | − | 3.68071i | ||||
\(21\) | 1.12367 | 0.245205 | ||||||||
\(22\) | −12.3948 | −2.64258 | ||||||||
\(23\) | 0.162805 | + | 0.281987i | 0.0339472 | + | 0.0587983i | 0.882500 | − | 0.470313i | \(-0.155859\pi\) |
−0.848553 | + | 0.529111i | \(0.822526\pi\) | |||||||
\(24\) | −2.00320 | − | 3.46965i | −0.408902 | − | 0.708240i | ||||
\(25\) | −2.57325 | + | 4.45700i | −0.514650 | + | 0.891399i | ||||
\(26\) | −5.14485 | + | 8.91114i | −1.00899 | + | 1.74762i | ||||
\(27\) | 2.10100 | 0.404337 | ||||||||
\(28\) | 9.36972 | − | 16.2288i | 1.77071 | − | 3.06696i | ||||
\(29\) | −0.148387 | + | 0.257014i | −0.0275548 | + | 0.0477264i | −0.879474 | − | 0.475947i | \(-0.842105\pi\) |
0.851919 | + | 0.523673i | \(0.175439\pi\) | |||||||
\(30\) | −1.60849 | + | 2.78598i | −0.293668 | + | 0.508648i | ||||
\(31\) | 0.0691656 | + | 0.119798i | 0.0124225 | + | 0.0215164i | 0.872170 | − | 0.489203i | \(-0.162712\pi\) |
−0.859747 | + | 0.510720i | \(0.829379\pi\) | |||||||
\(32\) | −33.1298 | −5.85657 | ||||||||
\(33\) | 0.785602 | + | 1.36070i | 0.136756 | + | 0.236868i | ||||
\(34\) | −1.41130 | + | 2.44444i | −0.242035 | + | 0.419218i | ||||
\(35\) | −10.0036 | −1.69092 | ||||||||
\(36\) | 8.56860 | − | 14.8412i | 1.42810 | − | 2.47354i | ||||
\(37\) | 3.47777 | + | 6.02367i | 0.571742 | + | 0.990286i | 0.996387 | + | 0.0849263i | \(0.0270655\pi\) |
−0.424645 | + | 0.905360i | \(0.639601\pi\) | |||||||
\(38\) | 3.55401 | + | 6.15573i | 0.576537 | + | 0.998591i | ||||
\(39\) | 1.30435 | 0.208864 | ||||||||
\(40\) | 17.8337 | + | 30.8889i | 2.81976 | + | 4.88397i | ||||
\(41\) | 8.04403 | 1.25627 | 0.628133 | − | 0.778106i | \(-0.283819\pi\) | ||||
0.628133 | + | 0.778106i | \(0.283819\pi\) | |||||||
\(42\) | −3.17167 | −0.489399 | ||||||||
\(43\) | −0.483355 | + | 6.53960i | −0.0737109 | + | 0.997280i | ||||
\(44\) | 26.2029 | 3.95024 | ||||||||
\(45\) | −9.14828 | −1.36374 | ||||||||
\(46\) | −0.459533 | − | 0.795934i | −0.0677544 | − | 0.117354i | ||||
\(47\) | −11.0641 | −1.61387 | −0.806935 | − | 0.590641i | \(-0.798875\pi\) | ||||
−0.806935 | + | 0.590641i | \(0.798875\pi\) | |||||||
\(48\) | 3.51922 | + | 6.09547i | 0.507956 | + | 0.879806i | ||||
\(49\) | −1.43136 | − | 2.47918i | −0.204480 | − | 0.354169i | ||||
\(50\) | 7.26323 | − | 12.5803i | 1.02718 | − | 1.77912i | ||||
\(51\) | 0.357801 | 0.0501021 | ||||||||
\(52\) | 10.8763 | − | 18.8384i | 1.50828 | − | 2.61241i | ||||
\(53\) | 3.18900 | + | 5.52351i | 0.438043 | + | 0.758713i | 0.997539 | − | 0.0701207i | \(-0.0223384\pi\) |
−0.559496 | + | 0.828833i | \(0.689005\pi\) | |||||||
\(54\) | −5.93026 | −0.807007 | ||||||||
\(55\) | −6.99390 | − | 12.1138i | −0.943058 | − | 1.63342i | ||||
\(56\) | −17.5826 | + | 30.4539i | −2.34957 | + | 4.06957i | ||||
\(57\) | 0.450518 | − | 0.780320i | 0.0596726 | − | 0.103356i | ||||
\(58\) | 0.418837 | − | 0.725447i | 0.0549960 | − | 0.0952558i | ||||
\(59\) | 1.52804 | 0.198934 | 0.0994669 | − | 0.995041i | \(-0.468286\pi\) | ||||
0.0994669 | + | 0.995041i | \(0.468286\pi\) | |||||||
\(60\) | 3.40038 | − | 5.88964i | 0.438987 | − | 0.760349i | ||||
\(61\) | 0.805237 | − | 1.39471i | 0.103100 | − | 0.178574i | −0.809860 | − | 0.586623i | \(-0.800457\pi\) |
0.912960 | + | 0.408048i | \(0.133790\pi\) | |||||||
\(62\) | −0.195226 | − | 0.338142i | −0.0247938 | − | 0.0429441i | ||||
\(63\) | −4.50972 | − | 7.81106i | −0.568171 | − | 0.984101i | ||||
\(64\) | 54.1690 | 6.77113 | ||||||||
\(65\) | −11.6121 | −1.44031 | ||||||||
\(66\) | −2.21744 | − | 3.84071i | −0.272947 | − | 0.472759i | ||||
\(67\) | −1.50104 | − | 2.59988i | −0.183381 | − | 0.317626i | 0.759649 | − | 0.650334i | \(-0.225371\pi\) |
−0.943030 | + | 0.332708i | \(0.892038\pi\) | |||||||
\(68\) | 2.98352 | − | 5.16760i | 0.361805 | − | 0.626664i | ||||
\(69\) | −0.0582518 | + | 0.100895i | −0.00701269 | + | 0.0121463i | ||||
\(70\) | 28.2361 | 3.37486 | ||||||||
\(71\) | 0.468173 | − | 0.810899i | 0.0555619 | − | 0.0962360i | −0.836907 | − | 0.547346i | \(-0.815638\pi\) |
0.892469 | + | 0.451110i | \(0.148972\pi\) | |||||||
\(72\) | −16.0792 | + | 27.8500i | −1.89496 | + | 3.28216i | ||||
\(73\) | 5.20043 | − | 9.00742i | 0.608665 | − | 1.05424i | −0.382796 | − | 0.923833i | \(-0.625039\pi\) |
0.991461 | − | 0.130405i | \(-0.0416279\pi\) | |||||||
\(74\) | −9.81633 | − | 17.0024i | −1.14113 | − | 1.97649i | ||||
\(75\) | −1.84142 | −0.212629 | ||||||||
\(76\) | −7.51327 | − | 13.0134i | −0.861831 | − | 1.49274i | ||||
\(77\) | 6.89540 | − | 11.9432i | 0.785804 | − | 1.36105i | ||||
\(78\) | −3.68166 | −0.416866 | ||||||||
\(79\) | −6.88582 | + | 11.9266i | −0.774715 | + | 1.34185i | 0.160239 | + | 0.987078i | \(0.448774\pi\) |
−0.934954 | + | 0.354768i | \(0.884560\pi\) | |||||||
\(80\) | −31.3302 | − | 54.2656i | −3.50283 | − | 6.06707i | ||||
\(81\) | −3.93210 | − | 6.81059i | −0.436900 | − | 0.756733i | ||||
\(82\) | −22.7050 | −2.50735 | ||||||||
\(83\) | −8.28634 | − | 14.3524i | −0.909544 | − | 1.57538i | −0.814699 | − | 0.579885i | \(-0.803098\pi\) |
−0.0948454 | − | 0.995492i | \(-0.530236\pi\) | |||||||
\(84\) | 6.70499 | 0.731574 | ||||||||
\(85\) | −3.18536 | −0.345500 | ||||||||
\(86\) | 1.36431 | − | 18.4586i | 0.147118 | − | 1.99045i | ||||
\(87\) | −0.106186 | −0.0113844 | ||||||||
\(88\) | −49.1706 | −5.24160 | ||||||||
\(89\) | 6.25527 | + | 10.8344i | 0.663057 | + | 1.14845i | 0.979808 | + | 0.199940i | \(0.0640746\pi\) |
−0.316751 | + | 0.948509i | \(0.602592\pi\) | |||||||
\(90\) | 25.8219 | 2.72186 | ||||||||
\(91\) | −5.72430 | − | 9.91478i | −0.600070 | − | 1.03935i | ||||
\(92\) | 0.971464 | + | 1.68262i | 0.101282 | + | 0.175426i | ||||
\(93\) | −0.0247475 | + | 0.0428639i | −0.00256620 | + | 0.00444478i | ||||
\(94\) | 31.2295 | 3.22108 | ||||||||
\(95\) | −4.01078 | + | 6.94687i | −0.411497 | + | 0.712734i | ||||
\(96\) | −5.92693 | − | 10.2657i | −0.604914 | − | 1.04774i | ||||
\(97\) | −3.56126 | −0.361591 | −0.180796 | − | 0.983521i | \(-0.557867\pi\) | ||||
−0.180796 | + | 0.983521i | \(0.557867\pi\) | |||||||
\(98\) | 4.04014 | + | 6.99772i | 0.408116 | + | 0.706877i | ||||
\(99\) | 6.30584 | − | 10.9220i | 0.633760 | − | 1.09771i | ||||
\(100\) | −15.3547 | + | 26.5950i | −1.53547 | + | 2.65950i | ||||
\(101\) | 2.58395 | − | 4.47553i | 0.257113 | − | 0.445332i | −0.708354 | − | 0.705857i | \(-0.750562\pi\) |
0.965467 | + | 0.260525i | \(0.0838955\pi\) | |||||||
\(102\) | −1.00993 | −0.0999976 | ||||||||
\(103\) | −6.54953 | + | 11.3441i | −0.645344 | + | 1.11777i | 0.338878 | + | 0.940830i | \(0.389953\pi\) |
−0.984222 | + | 0.176939i | \(0.943381\pi\) | |||||||
\(104\) | −20.4098 | + | 35.3508i | −2.00134 | + | 3.46643i | ||||
\(105\) | −1.78965 | − | 3.09976i | −0.174652 | − | 0.302506i | ||||
\(106\) | −9.00125 | − | 15.5906i | −0.874279 | − | 1.51430i | ||||
\(107\) | 17.3827 | 1.68045 | 0.840223 | − | 0.542241i | \(-0.182424\pi\) | ||||
0.840223 | + | 0.542241i | \(0.182424\pi\) | |||||||
\(108\) | 12.5367 | 1.20635 | ||||||||
\(109\) | −6.72424 | − | 11.6467i | −0.644066 | − | 1.11555i | −0.984516 | − | 0.175292i | \(-0.943913\pi\) |
0.340451 | − | 0.940262i | \(-0.389420\pi\) | |||||||
\(110\) | 19.7409 | + | 34.1923i | 1.88222 | + | 3.26011i | ||||
\(111\) | −1.24435 | + | 2.15528i | −0.118108 | + | 0.204570i | ||||
\(112\) | 30.8890 | − | 53.5013i | 2.91874 | − | 5.05540i | ||||
\(113\) | 5.54655 | 0.521776 | 0.260888 | − | 0.965369i | \(-0.415985\pi\) | ||||
0.260888 | + | 0.965369i | \(0.415985\pi\) | |||||||
\(114\) | −1.27163 | + | 2.20253i | −0.119099 | + | 0.206285i | ||||
\(115\) | 0.518593 | − | 0.898229i | 0.0483590 | − | 0.0837602i | ||||
\(116\) | −0.885432 | + | 1.53361i | −0.0822103 | + | 0.142392i | ||||
\(117\) | −5.23486 | − | 9.06705i | −0.483963 | − | 0.838249i | ||||
\(118\) | −4.31303 | −0.397047 | ||||||||
\(119\) | −1.57025 | − | 2.71975i | −0.143944 | − | 0.249319i | ||||
\(120\) | −6.38092 | + | 11.0521i | −0.582496 | + | 1.00891i | ||||
\(121\) | 8.28337 | 0.753034 | ||||||||
\(122\) | −2.27286 | + | 3.93670i | −0.205775 | + | 0.356412i | ||||
\(123\) | 1.43908 | + | 2.49256i | 0.129757 | + | 0.224746i | ||||
\(124\) | 0.412713 | + | 0.714841i | 0.0370628 | + | 0.0641946i | ||||
\(125\) | 0.466643 | 0.0417378 | ||||||||
\(126\) | 12.7291 | + | 22.0474i | 1.13400 | + | 1.96414i | ||||
\(127\) | −2.20227 | −0.195420 | −0.0977101 | − | 0.995215i | \(-0.531152\pi\) | ||||
−0.0977101 | + | 0.995215i | \(0.531152\pi\) | |||||||
\(128\) | −86.6376 | −7.65775 | ||||||||
\(129\) | −2.11286 | + | 1.02016i | −0.186027 | + | 0.0898203i | ||||
\(130\) | 32.7764 | 2.87468 | ||||||||
\(131\) | 7.33244 | 0.640638 | 0.320319 | − | 0.947310i | \(-0.396210\pi\) | ||||
0.320319 | + | 0.947310i | \(0.396210\pi\) | |||||||
\(132\) | 4.68771 | + | 8.11936i | 0.408013 | + | 0.706700i | ||||
\(133\) | −7.90859 | −0.685762 | ||||||||
\(134\) | 4.23683 | + | 7.33840i | 0.366006 | + | 0.633941i | ||||
\(135\) | −3.34621 | − | 5.79581i | −0.287996 | − | 0.498824i | ||||
\(136\) | −5.59866 | + | 9.69716i | −0.480081 | + | 0.831525i | ||||
\(137\) | 7.65853 | 0.654312 | 0.327156 | − | 0.944970i | \(-0.393910\pi\) | ||||
0.327156 | + | 0.944970i | \(0.393910\pi\) | |||||||
\(138\) | 0.164421 | − | 0.284786i | 0.0139965 | − | 0.0242426i | ||||
\(139\) | −0.641913 | − | 1.11183i | −0.0544464 | − | 0.0943039i | 0.837518 | − | 0.546410i | \(-0.184006\pi\) |
−0.891964 | + | 0.452106i | \(0.850673\pi\) | |||||||
\(140\) | −59.6918 | −5.04488 | ||||||||
\(141\) | −1.97938 | − | 3.42838i | −0.166694 | − | 0.288722i | ||||
\(142\) | −1.32146 | + | 2.28884i | −0.110895 | + | 0.192075i | ||||
\(143\) | 8.00416 | − | 13.8636i | 0.669341 | − | 1.15933i | ||||
\(144\) | 28.2479 | − | 48.9269i | 2.35399 | − | 4.07724i | ||||
\(145\) | 0.945333 | 0.0785056 | ||||||||
\(146\) | −14.6787 | + | 25.4243i | −1.21482 | + | 2.10413i | ||||
\(147\) | 0.512141 | − | 0.887053i | 0.0422406 | − | 0.0731629i | ||||
\(148\) | 20.7520 | + | 35.9435i | 1.70580 | + | 2.95453i | ||||
\(149\) | 7.05465 | + | 12.2190i | 0.577940 | + | 1.00102i | 0.995715 | + | 0.0924706i | \(0.0294764\pi\) |
−0.417776 | + | 0.908550i | \(0.637190\pi\) | |||||||
\(150\) | 5.19758 | 0.424381 | ||||||||
\(151\) | 4.73198 | 0.385083 | 0.192541 | − | 0.981289i | \(-0.438327\pi\) | ||||
0.192541 | + | 0.981289i | \(0.438327\pi\) | |||||||
\(152\) | 14.0989 | + | 24.4200i | 1.14357 | + | 1.98072i | ||||
\(153\) | −1.43599 | − | 2.48721i | −0.116093 | − | 0.201079i | ||||
\(154\) | −19.4629 | + | 33.7108i | −1.56837 | + | 2.71649i | ||||
\(155\) | 0.220317 | − | 0.381600i | 0.0176963 | − | 0.0306509i | ||||
\(156\) | 7.78312 | 0.623149 | ||||||||
\(157\) | 1.31521 | − | 2.27801i | 0.104965 | − | 0.181805i | −0.808759 | − | 0.588140i | \(-0.799860\pi\) |
0.913724 | + | 0.406336i | \(0.133194\pi\) | |||||||
\(158\) | 19.4359 | − | 33.6639i | 1.54624 | − | 2.67816i | ||||
\(159\) | −1.14103 | + | 1.97632i | −0.0904893 | + | 0.156732i | ||||
\(160\) | 52.7650 | + | 91.3917i | 4.17144 | + | 7.22515i | ||||
\(161\) | 1.02258 | 0.0805904 | ||||||||
\(162\) | 11.0987 | + | 19.2235i | 0.871997 | + | 1.51034i | ||||
\(163\) | −6.48594 | + | 11.2340i | −0.508018 | + | 0.879913i | 0.491939 | + | 0.870630i | \(0.336288\pi\) |
−0.999957 | + | 0.00928345i | \(0.997045\pi\) | |||||||
\(164\) | 47.9990 | 3.74809 | ||||||||
\(165\) | 2.50242 | − | 4.33432i | 0.194813 | − | 0.337427i | ||||
\(166\) | 23.3890 | + | 40.5109i | 1.81534 | + | 3.14425i | ||||
\(167\) | −2.64827 | − | 4.58694i | −0.204929 | − | 0.354948i | 0.745181 | − | 0.666862i | \(-0.232363\pi\) |
−0.950110 | + | 0.311914i | \(0.899030\pi\) | |||||||
\(168\) | −12.5821 | −0.970731 | ||||||||
\(169\) | −0.144748 | − | 0.250710i | −0.0111344 | − | 0.0192854i | ||||
\(170\) | 8.99097 | 0.689576 | ||||||||
\(171\) | −7.23239 | −0.553075 | ||||||||
\(172\) | −2.88419 | + | 39.0220i | −0.219918 | + | 2.97540i | ||||
\(173\) | −18.9606 | −1.44155 | −0.720776 | − | 0.693168i | \(-0.756214\pi\) | ||||
−0.720776 | + | 0.693168i | \(0.756214\pi\) | |||||||
\(174\) | 0.299720 | 0.0227217 | ||||||||
\(175\) | 8.08127 | + | 13.9972i | 0.610887 | + | 1.05809i | ||||
\(176\) | 86.3828 | 6.51135 | ||||||||
\(177\) | 0.273367 | + | 0.473485i | 0.0205475 | + | 0.0355893i | ||||
\(178\) | −17.6561 | − | 30.5812i | −1.32338 | − | 2.29216i | ||||
\(179\) | −6.69797 | + | 11.6012i | −0.500630 | + | 0.867117i | 0.499370 | + | 0.866389i | \(0.333565\pi\) |
−1.00000 | 0.000727720i | \(0.999768\pi\) | ||||||||
\(180\) | −54.5881 | −4.06875 | ||||||||
\(181\) | −3.89541 | + | 6.74705i | −0.289543 | + | 0.501504i | −0.973701 | − | 0.227830i | \(-0.926837\pi\) |
0.684157 | + | 0.729334i | \(0.260170\pi\) | |||||||
\(182\) | 16.1574 | + | 27.9854i | 1.19766 | + | 2.07442i | ||||
\(183\) | 0.576229 | 0.0425960 | ||||||||
\(184\) | −1.82298 | − | 3.15750i | −0.134392 | − | 0.232774i | ||||
\(185\) | 11.0779 | − | 19.1876i | 0.814466 | − | 1.41070i | ||||
\(186\) | 0.0698522 | − | 0.120987i | 0.00512181 | − | 0.00887123i | ||||
\(187\) | 2.19564 | − | 3.80296i | 0.160561 | − | 0.278100i | ||||
\(188\) | −66.0200 | −4.81500 | ||||||||
\(189\) | 3.29909 | − | 5.71419i | 0.239973 | − | 0.415646i | ||||
\(190\) | 11.3208 | − | 19.6082i | 0.821297 | − | 1.42253i | ||||
\(191\) | 6.62366 | + | 11.4725i | 0.479271 | + | 0.830122i | 0.999717 | − | 0.0237721i | \(-0.00756761\pi\) |
−0.520446 | + | 0.853895i | \(0.674234\pi\) | |||||||
\(192\) | 9.69086 | + | 16.7851i | 0.699377 | + | 1.21136i | ||||
\(193\) | 3.27045 | 0.235412 | 0.117706 | − | 0.993048i | \(-0.462446\pi\) | ||||
0.117706 | + | 0.993048i | \(0.462446\pi\) | |||||||
\(194\) | 10.0520 | 0.721690 | ||||||||
\(195\) | −2.07742 | − | 3.59819i | −0.148767 | − | 0.257672i | ||||
\(196\) | −8.54095 | − | 14.7934i | −0.610068 | − | 1.05667i | ||||
\(197\) | 3.87742 | − | 6.71589i | 0.276255 | − | 0.478487i | −0.694196 | − | 0.719786i | \(-0.744240\pi\) |
0.970451 | + | 0.241299i | \(0.0775733\pi\) | |||||||
\(198\) | −17.7988 | + | 30.8284i | −1.26491 | + | 2.19088i | ||||
\(199\) | −14.8263 | −1.05101 | −0.525505 | − | 0.850790i | \(-0.676124\pi\) | ||||
−0.525505 | + | 0.850790i | \(0.676124\pi\) | |||||||
\(200\) | 28.8135 | − | 49.9064i | 2.03742 | − | 3.52892i | ||||
\(201\) | 0.537074 | − | 0.930239i | 0.0378823 | − | 0.0656140i | ||||
\(202\) | −7.29344 | + | 12.6326i | −0.513165 | + | 0.888828i | ||||
\(203\) | 0.466010 | + | 0.807152i | 0.0327075 | + | 0.0566510i | ||||
\(204\) | 2.13501 | 0.149481 | ||||||||
\(205\) | −12.8115 | − | 22.1902i | −0.894797 | − | 1.54983i | ||||
\(206\) | 18.4867 | − | 32.0198i | 1.28803 | − | 2.23093i | ||||
\(207\) | 0.935146 | 0.0649971 | ||||||||
\(208\) | 35.8558 | − | 62.1041i | 2.48615 | − | 4.30615i | ||||
\(209\) | −5.52920 | − | 9.57685i | −0.382463 | − | 0.662445i | ||||
\(210\) | 5.05145 | + | 8.74936i | 0.348583 | + | 0.603763i | ||||
\(211\) | −17.8182 | −1.22666 | −0.613329 | − | 0.789827i | \(-0.710170\pi\) | ||||
−0.613329 | + | 0.789827i | \(0.710170\pi\) | |||||||
\(212\) | 19.0289 | + | 32.9590i | 1.30691 | + | 2.26363i | ||||
\(213\) | 0.335025 | 0.0229555 | ||||||||
\(214\) | −49.0642 | −3.35396 | ||||||||
\(215\) | 18.8100 | − | 9.08210i | 1.28283 | − | 0.619394i | ||||
\(216\) | −23.5256 | −1.60071 | ||||||||
\(217\) | 0.434429 | 0.0294909 | ||||||||
\(218\) | 18.9798 | + | 32.8740i | 1.28547 | + | 2.22651i | ||||
\(219\) | 3.72144 | 0.251472 | ||||||||
\(220\) | −41.7328 | − | 72.2834i | −2.81363 | − | 4.87335i | ||||
\(221\) | −1.82274 | − | 3.15707i | −0.122611 | − | 0.212368i | ||||
\(222\) | 3.51229 | − | 6.08347i | 0.235730 | − | 0.408296i | ||||
\(223\) | 3.46640 | 0.232127 | 0.116064 | − | 0.993242i | \(-0.462972\pi\) | ||||
0.116064 | + | 0.993242i | \(0.462972\pi\) | |||||||
\(224\) | −52.0219 | + | 90.1046i | −3.47586 | + | 6.02037i | ||||
\(225\) | 7.39031 | + | 12.8004i | 0.492688 | + | 0.853360i | ||||
\(226\) | −15.6557 | −1.04140 | ||||||||
\(227\) | 1.46114 | + | 2.53077i | 0.0969793 | + | 0.167973i | 0.910433 | − | 0.413657i | \(-0.135749\pi\) |
−0.813454 | + | 0.581630i | \(0.802415\pi\) | |||||||
\(228\) | 2.68825 | − | 4.65619i | 0.178034 | − | 0.308364i | ||||
\(229\) | −9.19255 | + | 15.9220i | −0.607461 | + | 1.05215i | 0.384196 | + | 0.923251i | \(0.374479\pi\) |
−0.991657 | + | 0.128902i | \(0.958855\pi\) | |||||||
\(230\) | −1.46378 | + | 2.53533i | −0.0965185 | + | 0.167175i | ||||
\(231\) | 4.93436 | 0.324657 | ||||||||
\(232\) | 1.66154 | − | 2.87787i | 0.109085 | − | 0.188942i | ||||
\(233\) | −10.8325 | + | 18.7624i | −0.709660 | + | 1.22917i | 0.255323 | + | 0.966856i | \(0.417818\pi\) |
−0.964983 | + | 0.262312i | \(0.915515\pi\) | |||||||
\(234\) | 14.7759 | + | 25.5926i | 0.965930 | + | 1.67304i | ||||
\(235\) | 17.6216 | + | 30.5215i | 1.14951 | + | 1.99100i | ||||
\(236\) | 9.11786 | 0.593522 | ||||||||
\(237\) | −4.92751 | −0.320076 | ||||||||
\(238\) | 4.43217 | + | 7.67675i | 0.287295 | + | 0.497609i | ||||
\(239\) | −3.29020 | − | 5.69880i | −0.212826 | − | 0.368625i | 0.739772 | − | 0.672858i | \(-0.234933\pi\) |
−0.952598 | + | 0.304233i | \(0.901600\pi\) | |||||||
\(240\) | 11.2100 | − | 19.4163i | 0.723601 | − | 1.25331i | ||||
\(241\) | −4.49404 | + | 7.78391i | −0.289487 | + | 0.501406i | −0.973687 | − | 0.227888i | \(-0.926818\pi\) |
0.684201 | + | 0.729294i | \(0.260151\pi\) | |||||||
\(242\) | −23.3806 | −1.50296 | ||||||||
\(243\) | 4.55841 | − | 7.89539i | 0.292422 | − | 0.506490i | ||||
\(244\) | 4.80487 | − | 8.32229i | 0.307601 | − | 0.532780i | ||||
\(245\) | −4.55938 | + | 7.89708i | −0.291288 | + | 0.504526i | ||||
\(246\) | −4.06194 | − | 7.03548i | −0.258980 | − | 0.448566i | ||||
\(247\) | −9.18026 | −0.584126 | ||||||||
\(248\) | −0.774469 | − | 1.34142i | −0.0491789 | − | 0.0851803i | ||||
\(249\) | 2.96486 | − | 5.13529i | 0.187890 | − | 0.325436i | ||||
\(250\) | −1.31714 | −0.0833035 | ||||||||
\(251\) | 11.4801 | − | 19.8841i | 0.724618 | − | 1.25508i | −0.234512 | − | 0.972113i | \(-0.575349\pi\) |
0.959131 | − | 0.282963i | \(-0.0913173\pi\) | |||||||
\(252\) | −26.9096 | − | 46.6089i | −1.69515 | − | 2.93608i | ||||
\(253\) | 0.714924 | + | 1.23828i | 0.0449469 | + | 0.0778503i | ||||
\(254\) | 6.21612 | 0.390034 | ||||||||
\(255\) | −0.569862 | − | 0.987029i | −0.0356861 | − | 0.0618102i | ||||
\(256\) | 136.205 | 8.51279 | ||||||||
\(257\) | 14.6140 | 0.911596 | 0.455798 | − | 0.890083i | \(-0.349354\pi\) | ||||
0.455798 | + | 0.890083i | \(0.349354\pi\) | |||||||
\(258\) | 5.96375 | − | 2.87950i | 0.371287 | − | 0.179270i | ||||
\(259\) | 21.8438 | 1.35731 | ||||||||
\(260\) | −69.2900 | −4.29718 | ||||||||
\(261\) | 0.426165 | + | 0.738140i | 0.0263790 | + | 0.0456897i | ||||
\(262\) | −20.6965 | −1.27863 | ||||||||
\(263\) | 2.13966 | + | 3.70600i | 0.131937 | + | 0.228522i | 0.924423 | − | 0.381368i | \(-0.124547\pi\) |
−0.792486 | + | 0.609890i | \(0.791214\pi\) | |||||||
\(264\) | −8.79664 | − | 15.2362i | −0.541396 | − | 0.937725i | ||||
\(265\) | 10.1581 | − | 17.5944i | 0.624007 | − | 1.08081i | ||||
\(266\) | 22.3227 | 1.36869 | ||||||||
\(267\) | −2.23814 | + | 3.87657i | −0.136972 | + | 0.237242i | ||||
\(268\) | −8.95676 | − | 15.5136i | −0.547121 | − | 0.947642i | ||||
\(269\) | −24.5023 | −1.49393 | −0.746966 | − | 0.664863i | \(-0.768490\pi\) | ||||
−0.746966 | + | 0.664863i | \(0.768490\pi\) | |||||||
\(270\) | 9.44500 | + | 16.3592i | 0.574805 | + | 0.995591i | ||||
\(271\) | −0.851697 | + | 1.47518i | −0.0517369 | + | 0.0896109i | −0.890734 | − | 0.454525i | \(-0.849809\pi\) |
0.838997 | + | 0.544136i | \(0.183142\pi\) | |||||||
\(272\) | 9.83571 | − | 17.0359i | 0.596377 | − | 1.03296i | ||||
\(273\) | 2.04816 | − | 3.54752i | 0.123960 | − | 0.214705i | ||||
\(274\) | −21.6169 | −1.30593 | ||||||||
\(275\) | −11.2999 | + | 19.5719i | −0.681407 | + | 1.18023i | ||||
\(276\) | −0.347590 | + | 0.602044i | −0.0209225 | + | 0.0362388i | ||||
\(277\) | −4.25903 | − | 7.37685i | −0.255900 | − | 0.443232i | 0.709239 | − | 0.704968i | \(-0.249038\pi\) |
−0.965140 | + | 0.261736i | \(0.915705\pi\) | |||||||
\(278\) | 1.81186 | + | 3.13823i | 0.108668 | + | 0.188219i | ||||
\(279\) | 0.397284 | 0.0237848 | ||||||||
\(280\) | 112.013 | 6.69409 | ||||||||
\(281\) | 7.28338 | + | 12.6152i | 0.434490 | + | 0.752559i | 0.997254 | − | 0.0740587i | \(-0.0235952\pi\) |
−0.562764 | + | 0.826618i | \(0.690262\pi\) | |||||||
\(282\) | 5.58698 | + | 9.67693i | 0.332700 | + | 0.576253i | ||||
\(283\) | −12.0586 | + | 20.8861i | −0.716809 | + | 1.24155i | 0.245448 | + | 0.969410i | \(0.421065\pi\) |
−0.962258 | + | 0.272140i | \(0.912268\pi\) | |||||||
\(284\) | 2.79360 | − | 4.83866i | 0.165770 | − | 0.287122i | ||||
\(285\) | −2.87012 | −0.170011 | ||||||||
\(286\) | −22.5925 | + | 39.1313i | −1.33592 | + | 2.31388i | ||||
\(287\) | 12.6311 | − | 21.8777i | 0.745591 | − | 1.29140i | ||||
\(288\) | −47.5740 | + | 82.4006i | −2.80332 | + | 4.85550i | ||||
\(289\) | −0.500000 | − | 0.866025i | −0.0294118 | − | 0.0509427i | ||||
\(290\) | −2.66829 | −0.156687 | ||||||||
\(291\) | −0.637111 | − | 1.10351i | −0.0373481 | − | 0.0646888i | ||||
\(292\) | 31.0312 | − | 53.7475i | 1.81596 | − | 3.14534i | ||||
\(293\) | 8.30923 | 0.485430 | 0.242715 | − | 0.970098i | \(-0.421962\pi\) | ||||
0.242715 | + | 0.970098i | \(0.421962\pi\) | |||||||
\(294\) | −1.44556 | + | 2.50379i | −0.0843070 | + | 0.146024i | ||||
\(295\) | −2.43367 | − | 4.21525i | −0.141694 | − | 0.245421i | ||||
\(296\) | −38.9417 | − | 67.4490i | −2.26344 | − | 3.92039i | ||||
\(297\) | 9.22608 | 0.535351 | ||||||||
\(298\) | −19.9124 | − | 34.4893i | −1.15350 | − | 1.99791i | ||||
\(299\) | 1.18700 | 0.0686463 | ||||||||
\(300\) | −10.9878 | −0.634382 | ||||||||
\(301\) | 17.0271 | + | 11.5834i | 0.981425 | + | 0.667656i | ||||
\(302\) | −13.3564 | −0.768577 | ||||||||
\(303\) | 1.84908 | 0.106227 | ||||||||
\(304\) | −24.7689 | − | 42.9010i | −1.42059 | − | 2.46054i | ||||
\(305\) | −5.12993 | −0.293739 | ||||||||
\(306\) | 4.05321 | + | 7.02037i | 0.231707 | + | 0.401328i | ||||
\(307\) | 10.2650 | + | 17.7796i | 0.585857 | + | 1.01473i | 0.994768 | + | 0.102160i | \(0.0325753\pi\) |
−0.408911 | + | 0.912574i | \(0.634091\pi\) | |||||||
\(308\) | 41.1451 | − | 71.2654i | 2.34446 | − | 4.06072i | ||||
\(309\) | −4.68685 | −0.266626 | ||||||||
\(310\) | −0.621866 | + | 1.07710i | −0.0353196 | + | 0.0611753i | ||||
\(311\) | 16.6907 | + | 28.9091i | 0.946441 | + | 1.63928i | 0.752841 | + | 0.658203i | \(0.228683\pi\) |
0.193600 | + | 0.981081i | \(0.437984\pi\) | |||||||
\(312\) | −14.6053 | −0.826861 | ||||||||
\(313\) | 1.17762 | + | 2.03970i | 0.0665632 | + | 0.115291i | 0.897386 | − | 0.441246i | \(-0.145463\pi\) |
−0.830823 | + | 0.556537i | \(0.812130\pi\) | |||||||
\(314\) | −3.71230 | + | 6.42989i | −0.209497 | + | 0.362860i | ||||
\(315\) | −14.3651 | + | 24.8810i | −0.809379 | + | 1.40189i | ||||
\(316\) | −41.0879 | + | 71.1664i | −2.31138 | + | 4.00342i | ||||
\(317\) | −4.96330 | −0.278766 | −0.139383 | − | 0.990239i | \(-0.544512\pi\) | ||||
−0.139383 | + | 0.990239i | \(0.544512\pi\) | |||||||
\(318\) | 3.22066 | − | 5.57834i | 0.180605 | − | 0.312818i | ||||
\(319\) | −0.651611 | + | 1.12862i | −0.0364832 | + | 0.0631907i | ||||
\(320\) | −86.2738 | − | 149.431i | −4.82285 | − | 8.35343i | ||||
\(321\) | 3.10977 | + | 5.38627i | 0.173570 | + | 0.300632i | ||||
\(322\) | −2.88632 | −0.160848 | ||||||||
\(323\) | −2.51826 | −0.140120 | ||||||||
\(324\) | −23.4630 | − | 40.6390i | −1.30350 | − | 2.25772i | ||||
\(325\) | 9.38071 | + | 16.2479i | 0.520348 | + | 0.901270i | ||||
\(326\) | 18.3072 | − | 31.7090i | 1.01394 | − | 1.75620i | ||||
\(327\) | 2.40594 | − | 4.16721i | 0.133049 | − | 0.230447i | ||||
\(328\) | −90.0715 | −4.97337 | ||||||||
\(329\) | −17.3734 | + | 30.0917i | −0.957828 | + | 1.65901i | ||||
\(330\) | −7.06332 | + | 12.2340i | −0.388823 | + | 0.673462i | ||||
\(331\) | 8.39827 | − | 14.5462i | 0.461611 | − | 0.799533i | −0.537431 | − | 0.843308i | \(-0.680605\pi\) |
0.999041 | + | 0.0437748i | \(0.0139384\pi\) | |||||||
\(332\) | −49.4449 | − | 85.6410i | −2.71364 | − | 4.70016i | ||||
\(333\) | 19.9762 | 1.09469 | ||||||||
\(334\) | 7.47499 | + | 12.9471i | 0.409013 | + | 0.708432i | ||||
\(335\) | −4.78135 | + | 8.28154i | −0.261233 | + | 0.452469i | ||||
\(336\) | 22.1042 | 1.20588 | ||||||||
\(337\) | 3.93097 | − | 6.80864i | 0.214134 | − | 0.370890i | −0.738871 | − | 0.673847i | \(-0.764641\pi\) |
0.953004 | + | 0.302957i | \(0.0979739\pi\) | |||||||
\(338\) | 0.408564 | + | 0.707653i | 0.0222229 | + | 0.0384912i | ||||
\(339\) | 0.992281 | + | 1.71868i | 0.0538933 | + | 0.0933459i | ||||
\(340\) | −19.0071 | −1.03081 | ||||||||
\(341\) | 0.303726 | + | 0.526069i | 0.0164477 | + | 0.0284882i | ||||
\(342\) | 20.4141 | 1.10387 | ||||||||
\(343\) | 12.9931 | 0.701563 | ||||||||
\(344\) | 5.41228 | − | 73.2260i | 0.291811 | − | 3.94808i | ||||
\(345\) | 0.371106 | 0.0199797 | ||||||||
\(346\) | 53.5182 | 2.87716 | ||||||||
\(347\) | −5.75200 | − | 9.96276i | −0.308784 | − | 0.534829i | 0.669313 | − | 0.742981i | \(-0.266589\pi\) |
−0.978097 | + | 0.208152i | \(0.933255\pi\) | |||||||
\(348\) | −0.633616 | −0.0339654 | ||||||||
\(349\) | −16.9864 | − | 29.4213i | −0.909261 | − | 1.57489i | −0.815093 | − | 0.579329i | \(-0.803314\pi\) |
−0.0941673 | − | 0.995556i | \(-0.530019\pi\) | |||||||
\(350\) | −22.8102 | − | 39.5083i | −1.21925 | − | 2.11181i | ||||
\(351\) | 3.82957 | − | 6.63301i | 0.204407 | − | 0.354044i | ||||
\(352\) | −145.482 | −7.75423 | ||||||||
\(353\) | 5.19266 | − | 8.99394i | 0.276377 | − | 0.478699i | −0.694104 | − | 0.719874i | \(-0.744199\pi\) |
0.970482 | + | 0.241175i | \(0.0775328\pi\) | |||||||
\(354\) | −0.771603 | − | 1.33646i | −0.0410102 | − | 0.0710318i | ||||
\(355\) | −2.98259 | −0.158300 | ||||||||
\(356\) | 37.3254 | + | 64.6495i | 1.97824 | + | 3.42641i | ||||
\(357\) | 0.561836 | − | 0.973128i | 0.0297355 | − | 0.0515034i | ||||
\(358\) | 18.9057 | − | 32.7456i | 0.999195 | − | 1.73066i | ||||
\(359\) | −10.1640 | + | 17.6045i | −0.536435 | + | 0.929132i | 0.462658 | + | 0.886537i | \(0.346896\pi\) |
−0.999092 | + | 0.0425952i | \(0.986437\pi\) | |||||||
\(360\) | 102.436 | 5.39886 | ||||||||
\(361\) | 6.32918 | − | 10.9625i | 0.333115 | − | 0.576972i | ||||
\(362\) | 10.9952 | − | 19.0442i | 0.577892 | − | 1.00094i | ||||
\(363\) | 1.48190 | + | 2.56672i | 0.0777795 | + | 0.134718i | ||||
\(364\) | −34.1571 | − | 59.1618i | −1.79032 | − | 3.10092i | ||||
\(365\) | −33.1305 | −1.73413 | ||||||||
\(366\) | −1.62646 | −0.0850164 | ||||||||
\(367\) | 0.226274 | + | 0.391918i | 0.0118114 | + | 0.0204579i | 0.871871 | − | 0.489736i | \(-0.162907\pi\) |
−0.860059 | + | 0.510194i | \(0.829574\pi\) | |||||||
\(368\) | 3.20261 | + | 5.54708i | 0.166947 | + | 0.289162i | ||||
\(369\) | 11.5511 | − | 20.0072i | 0.601328 | − | 1.04153i | ||||
\(370\) | −31.2685 | + | 54.1587i | −1.62557 | + | 2.81557i | ||||
\(371\) | 20.0301 | 1.03991 | ||||||||
\(372\) | −0.147669 | + | 0.255771i | −0.00765629 | + | 0.0132611i | ||||
\(373\) | 11.2545 | − | 19.4934i | 0.582738 | − | 1.00933i | −0.412415 | − | 0.910996i | \(-0.635315\pi\) |
0.995153 | − | 0.0983359i | \(-0.0313520\pi\) | |||||||
\(374\) | −6.19740 | + | 10.7342i | −0.320460 | + | 0.555053i | ||||
\(375\) | 0.0834827 | + | 0.144596i | 0.00431103 | + | 0.00746692i | ||||
\(376\) | 123.889 | 6.38907 | ||||||||
\(377\) | 0.540942 | + | 0.936939i | 0.0278599 | + | 0.0482548i | ||||
\(378\) | −9.31198 | + | 16.1288i | −0.478957 | + | 0.829578i | ||||
\(379\) | −1.95707 | −0.100528 | −0.0502641 | − | 0.998736i | \(-0.516006\pi\) | ||||
−0.0502641 | + | 0.998736i | \(0.516006\pi\) | |||||||
\(380\) | −23.9325 | + | 41.4522i | −1.22771 | + | 2.12645i | ||||
\(381\) | −0.393988 | − | 0.682407i | −0.0201846 | − | 0.0349608i | ||||
\(382\) | −18.6959 | − | 32.3823i | −0.956566 | − | 1.65682i | ||||
\(383\) | 1.19143 | 0.0608791 | 0.0304395 | − | 0.999537i | \(-0.490309\pi\) | ||||
0.0304395 | + | 0.999537i | \(0.490309\pi\) | |||||||
\(384\) | −15.4995 | − | 26.8459i | −0.790955 | − | 1.36997i | ||||
\(385\) | −43.9286 | −2.23881 | ||||||||
\(386\) | −9.23114 | −0.469853 | ||||||||
\(387\) | 15.5712 | + | 10.5930i | 0.791531 | + | 0.538472i | ||||
\(388\) | −21.2501 | −1.07881 | ||||||||
\(389\) | 7.46160 | 0.378318 | 0.189159 | − | 0.981946i | \(-0.439424\pi\) | ||||
0.189159 | + | 0.981946i | \(0.439424\pi\) | |||||||
\(390\) | 5.86370 | + | 10.1562i | 0.296920 | + | 0.514281i | ||||
\(391\) | 0.325610 | 0.0164668 | ||||||||
\(392\) | 16.0274 | + | 27.7602i | 0.809504 | + | 1.40210i | ||||
\(393\) | 1.31178 | + | 2.27206i | 0.0661703 | + | 0.114610i | ||||
\(394\) | −10.9444 | + | 18.9562i | −0.551370 | + | 0.955001i | ||||
\(395\) | 43.8676 | 2.20722 | ||||||||
\(396\) | 37.6271 | − | 65.1721i | 1.89083 | − | 3.27502i | ||||
\(397\) | 6.19955 | + | 10.7379i | 0.311146 | + | 0.538921i | 0.978611 | − | 0.205720i | \(-0.0659537\pi\) |
−0.667464 | + | 0.744642i | \(0.732620\pi\) | |||||||
\(398\) | 41.8487 | 2.09769 | ||||||||
\(399\) | −1.41485 | − | 2.45059i | −0.0708311 | − | 0.122683i | ||||
\(400\) | −50.6194 | + | 87.6754i | −2.53097 | + | 4.38377i | ||||
\(401\) | −10.6290 | + | 18.4099i | −0.530786 | + | 0.919349i | 0.468568 | + | 0.883427i | \(0.344770\pi\) |
−0.999355 | + | 0.0359216i | \(0.988563\pi\) | |||||||
\(402\) | −1.51594 | + | 2.62569i | −0.0756082 | + | 0.130957i | ||||
\(403\) | 0.504283 | 0.0251201 | ||||||||
\(404\) | 15.4185 | − | 26.7057i | 0.767100 | − | 1.32866i | ||||
\(405\) | −12.5251 | + | 21.6942i | −0.622379 | + | 1.07799i | ||||
\(406\) | −1.31536 | − | 2.27826i | −0.0652800 | − | 0.113068i | ||||
\(407\) | 15.2719 | + | 26.4517i | 0.756999 | + | 1.31116i | ||||
\(408\) | −4.00641 | −0.198347 | ||||||||
\(409\) | −5.32473 | −0.263291 | −0.131646 | − | 0.991297i | \(-0.542026\pi\) | ||||
−0.131646 | + | 0.991297i | \(0.542026\pi\) | |||||||
\(410\) | 36.1618 | + | 62.6340i | 1.78590 | + | 3.09328i | ||||
\(411\) | 1.37011 | + | 2.37311i | 0.0675828 | + | 0.117057i | ||||
\(412\) | −39.0813 | + | 67.6907i | −1.92540 | + | 3.33488i | ||||
\(413\) | 2.39940 | − | 4.15588i | 0.118067 | − | 0.204498i | ||||
\(414\) | −2.63954 | −0.129726 | ||||||||
\(415\) | −26.3950 | + | 45.7174i | −1.29568 | + | 2.24418i | ||||
\(416\) | −60.3869 | + | 104.593i | −2.96071 | + | 5.12810i | ||||
\(417\) | 0.229677 | − | 0.397812i | 0.0112473 | − | 0.0194810i | ||||
\(418\) | 15.6067 | + | 27.0316i | 0.763348 | + | 1.32216i | ||||
\(419\) | −0.103781 | −0.00507005 | −0.00253503 | − | 0.999997i | \(-0.500807\pi\) | ||||
−0.00253503 | + | 0.999997i | \(0.500807\pi\) | |||||||
\(420\) | −10.6789 | − | 18.4964i | −0.521076 | − | 0.902531i | ||||
\(421\) | 13.8106 | − | 23.9206i | 0.673086 | − | 1.16582i | −0.303938 | − | 0.952692i | \(-0.598302\pi\) |
0.977024 | − | 0.213128i | \(-0.0683651\pi\) | |||||||
\(422\) | 50.2937 | 2.44826 | ||||||||
\(423\) | −15.8880 | + | 27.5188i | −0.772500 | + | 1.33801i | ||||
\(424\) | −35.7083 | − | 61.8485i | −1.73415 | − | 3.00363i | ||||
\(425\) | 2.57325 | + | 4.45700i | 0.124821 | + | 0.216196i | ||||
\(426\) | −0.945639 | −0.0458164 | ||||||||
\(427\) | −2.52884 | − | 4.38008i | −0.122379 | − | 0.211967i | ||||
\(428\) | 103.723 | 5.01364 | ||||||||
\(429\) | 5.72779 | 0.276540 | ||||||||
\(430\) | −53.0929 | + | 25.6351i | −2.56037 | + | 1.23623i | ||||
\(431\) | −19.5888 | −0.943558 | −0.471779 | − | 0.881717i | \(-0.656388\pi\) | ||||
−0.471779 | + | 0.881717i | \(0.656388\pi\) | |||||||
\(432\) | 41.3296 | 1.98847 | ||||||||
\(433\) | 14.9601 | + | 25.9117i | 0.718937 | + | 1.24524i | 0.961421 | + | 0.275081i | \(0.0887046\pi\) |
−0.242484 | + | 0.970155i | \(0.577962\pi\) | |||||||
\(434\) | −1.22622 | −0.0588602 | ||||||||
\(435\) | 0.169120 | + | 0.292925i | 0.00810870 | + | 0.0140447i | ||||
\(436\) | −40.1238 | − | 69.4964i | −1.92158 | − | 3.32827i | ||||
\(437\) | 0.409986 | − | 0.710116i | 0.0196123 | − | 0.0339695i | ||||
\(438\) | −10.5041 | −0.501906 | ||||||||
\(439\) | −0.127520 | + | 0.220871i | −0.00608618 | + | 0.0105416i | −0.869052 | − | 0.494720i | \(-0.835271\pi\) |
0.862966 | + | 0.505262i | \(0.168604\pi\) | |||||||
\(440\) | 78.3130 | + | 135.642i | 3.73342 | + | 6.46648i | ||||
\(441\) | −8.22165 | −0.391507 | ||||||||
\(442\) | 5.14485 | + | 8.91114i | 0.244715 | + | 0.423860i | ||||
\(443\) | −16.9872 | + | 29.4227i | −0.807087 | + | 1.39792i | 0.107786 | + | 0.994174i | \(0.465624\pi\) |
−0.914873 | + | 0.403742i | \(0.867709\pi\) | |||||||
\(444\) | −7.42507 | + | 12.8606i | −0.352378 | + | 0.610337i | ||||
\(445\) | 19.9253 | − | 34.5116i | 0.944548 | − | 1.63600i | ||||
\(446\) | −9.78424 | −0.463297 | ||||||||
\(447\) | −2.52416 | + | 4.37197i | −0.119389 | + | 0.206787i | ||||
\(448\) | 85.0588 | − | 147.326i | 4.01865 | − | 6.96050i | ||||
\(449\) | −14.1419 | − | 24.4945i | −0.667398 | − | 1.15597i | −0.978629 | − | 0.205633i | \(-0.934075\pi\) |
0.311231 | − | 0.950334i | \(-0.399259\pi\) | |||||||
\(450\) | −20.8598 | − | 36.1303i | −0.983343 | − | 1.70320i | ||||
\(451\) | 35.3236 | 1.66332 | ||||||||
\(452\) | 33.0965 | 1.55673 | ||||||||
\(453\) | 0.846553 | + | 1.46627i | 0.0397745 | + | 0.0688915i | ||||
\(454\) | −4.12421 | − | 7.14334i | −0.193559 | − | 0.335253i | ||||
\(455\) | −18.2339 | + | 31.5821i | −0.854820 | + | 1.48059i | ||||
\(456\) | −5.04459 | + | 8.73749i | −0.236235 | + | 0.409170i | ||||
\(457\) | 34.5658 | 1.61692 | 0.808461 | − | 0.588550i | \(-0.200301\pi\) | ||||
0.808461 | + | 0.588550i | \(0.200301\pi\) | |||||||
\(458\) | 25.9468 | − | 44.9412i | 1.21242 | − | 2.09997i | ||||
\(459\) | 1.05050 | − | 1.81952i | 0.0490331 | − | 0.0849278i | ||||
\(460\) | 3.09446 | − | 5.35976i | 0.144280 | − | 0.249900i | ||||
\(461\) | −16.0173 | − | 27.7427i | −0.745998 | − | 1.29211i | −0.949727 | − | 0.313079i | \(-0.898639\pi\) |
0.203729 | − | 0.979027i | \(-0.434694\pi\) | |||||||
\(462\) | −13.9277 | −0.647975 | ||||||||
\(463\) | 2.23485 | + | 3.87088i | 0.103862 | + | 0.179895i | 0.913273 | − | 0.407348i | \(-0.133547\pi\) |
−0.809410 | + | 0.587243i | \(0.800213\pi\) | |||||||
\(464\) | −2.91899 | + | 5.05583i | −0.135511 | + | 0.234711i | ||||
\(465\) | 0.157659 | 0.00731127 | ||||||||
\(466\) | 30.5757 | − | 52.9587i | 1.41639 | − | 2.45326i | ||||
\(467\) | 5.21884 | + | 9.03930i | 0.241499 | + | 0.418289i | 0.961142 | − | 0.276056i | \(-0.0890276\pi\) |
−0.719642 | + | 0.694345i | \(0.755694\pi\) | |||||||
\(468\) | −31.2366 | − | 54.1034i | −1.44391 | − | 2.50093i | ||||
\(469\) | −9.42803 | −0.435346 | ||||||||
\(470\) | −49.7386 | − | 86.1498i | −2.29427 | − | 3.97379i | ||||
\(471\) | 0.941165 | 0.0433666 | ||||||||
\(472\) | −17.1099 | −0.787549 | ||||||||
\(473\) | −2.12255 | + | 28.7172i | −0.0975949 | + | 1.32042i | ||||
\(474\) | 13.9083 | 0.638831 | ||||||||
\(475\) | 12.9602 | 0.594656 | ||||||||
\(476\) | −9.36972 | − | 16.2288i | −0.429460 | − | 0.743847i | ||||
\(477\) | 18.3175 | 0.838700 | ||||||||
\(478\) | 9.28691 | + | 16.0854i | 0.424773 | + | 0.735729i | ||||
\(479\) | 14.0215 | + | 24.2859i | 0.640659 | + | 1.10965i | 0.985286 | + | 0.170914i | \(0.0546720\pi\) |
−0.344627 | + | 0.938740i | \(0.611995\pi\) | |||||||
\(480\) | −18.8794 | + | 32.7000i | −0.861722 | + | 1.49255i | ||||
\(481\) | 25.3563 | 1.15615 | ||||||||
\(482\) | 12.6849 | − | 21.9708i | 0.577779 | − | 1.00074i | ||||
\(483\) | 0.182940 | + | 0.316861i | 0.00832404 | + | 0.0144177i | ||||
\(484\) | 49.4271 | 2.24669 | ||||||||
\(485\) | 5.67194 | + | 9.82409i | 0.257549 | + | 0.446089i | ||||
\(486\) | −12.8665 | + | 22.2855i | −0.583637 | + | 1.01089i | ||||
\(487\) | −12.1211 | + | 20.9944i | −0.549261 | + | 0.951348i | 0.449064 | + | 0.893499i | \(0.351757\pi\) |
−0.998325 | + | 0.0578485i | \(0.981576\pi\) | |||||||
\(488\) | −9.01649 | + | 15.6170i | −0.408157 | + | 0.706949i | ||||
\(489\) | −4.64135 | −0.209889 | ||||||||
\(490\) | 12.8693 | − | 22.2902i | 0.581375 | − | 1.00697i | ||||
\(491\) | 6.17870 | − | 10.7018i | 0.278841 | − | 0.482966i | −0.692256 | − | 0.721652i | \(-0.743383\pi\) |
0.971097 | + | 0.238686i | \(0.0767165\pi\) | |||||||
\(492\) | 8.58703 | + | 14.8732i | 0.387133 | + | 0.670535i | ||||
\(493\) | 0.148387 | + | 0.257014i | 0.00668303 | + | 0.0115753i | ||||
\(494\) | 25.9121 | 1.16584 | ||||||||
\(495\) | −40.1727 | −1.80563 | ||||||||
\(496\) | 1.36059 | + | 2.35660i | 0.0610921 | + | 0.105815i | ||||
\(497\) | −1.47029 | − | 2.54662i | −0.0659517 | − | 0.114232i | ||||
\(498\) | −8.36859 | + | 14.4948i | −0.375006 | + | 0.649529i | ||||
\(499\) | −6.25186 | + | 10.8285i | −0.279872 | + | 0.484752i | −0.971353 | − | 0.237643i | \(-0.923625\pi\) |
0.691481 | + | 0.722395i | \(0.256959\pi\) | |||||||
\(500\) | 2.78448 | 0.124526 | ||||||||
\(501\) | 0.947553 | − | 1.64121i | 0.0423335 | − | 0.0733239i | ||||
\(502\) | −32.4037 | + | 56.1248i | −1.44625 | + | 2.50497i | ||||
\(503\) | 12.1152 | − | 20.9842i | 0.540192 | − | 0.935640i | −0.458701 | − | 0.888591i | \(-0.651685\pi\) |
0.998893 | − | 0.0470490i | \(-0.0149817\pi\) | |||||||
\(504\) | 50.4968 | + | 87.4629i | 2.24930 | + | 3.89591i | ||||
\(505\) | −16.4616 | −0.732532 | ||||||||
\(506\) | −2.01794 | − | 3.49517i | −0.0897083 | − | 0.155379i | ||||
\(507\) | 0.0517908 | − | 0.0897043i | 0.00230011 | − | 0.00398391i | ||||
\(508\) | −13.1410 | −0.583039 | ||||||||
\(509\) | 12.4986 | − | 21.6483i | 0.553992 | − | 0.959543i | −0.443989 | − | 0.896032i | \(-0.646437\pi\) |
0.997981 | − | 0.0635107i | \(-0.0202297\pi\) | |||||||
\(510\) | 1.60849 | + | 2.78598i | 0.0712250 | + | 0.123365i | ||||
\(511\) | −16.3319 | − | 28.2877i | −0.722482 | − | 1.25138i | ||||
\(512\) | −211.175 | −9.33270 | ||||||||
\(513\) | −2.64543 | − | 4.58202i | −0.116799 | − | 0.202301i | ||||
\(514\) | −41.2494 | −1.81943 | ||||||||
\(515\) | 41.7252 | 1.83863 | ||||||||
\(516\) | −12.6075 | + | 6.08734i | −0.555015 | + | 0.267980i | ||||
\(517\) | −48.5857 | −2.13680 | ||||||||
\(518\) | −61.6563 | −2.70902 | ||||||||
\(519\) | −3.39207 | − | 5.87523i | −0.148895 | − | 0.257894i | ||||
\(520\) | 130.025 | 5.70197 | ||||||||
\(521\) | 8.89906 | + | 15.4136i | 0.389875 | + | 0.675283i | 0.992432 | − | 0.122792i | \(-0.0391849\pi\) |
−0.602558 | + | 0.798075i | \(0.705852\pi\) | |||||||
\(522\) | −1.20289 | − | 2.08347i | −0.0526491 | − | 0.0911909i | ||||
\(523\) | 7.30486 | − | 12.6524i | 0.319419 | − | 0.553251i | −0.660948 | − | 0.750432i | \(-0.729845\pi\) |
0.980367 | + | 0.197181i | \(0.0631788\pi\) | |||||||
\(524\) | 43.7529 | 1.91135 | ||||||||
\(525\) | −2.89149 | + | 5.00820i | −0.126195 | + | 0.218576i | ||||
\(526\) | −6.03938 | − | 10.4605i | −0.263330 | − | 0.456100i | ||||
\(527\) | 0.138331 | 0.00602580 | ||||||||
\(528\) | 15.4539 | + | 26.7670i | 0.672545 | + | 1.16488i | ||||
\(529\) | 11.4470 | − | 19.8268i | 0.497695 | − | 0.862033i | ||||
\(530\) | −28.6722 | + | 49.6617i | −1.24544 | + | 2.15717i | ||||
\(531\) | 2.19425 | − | 3.80055i | 0.0952222 | − | 0.164930i | ||||
\(532\) | −47.1908 | −2.04598 | ||||||||
\(533\) | 14.6622 | − | 25.3956i | 0.635088 | − | 1.10001i | ||||
\(534\) | 6.31736 | − | 10.9420i | 0.273379 | − | 0.473506i | ||||
\(535\) | −27.6850 | − | 47.9518i | −1.19693 | − | 2.07314i | ||||
\(536\) | 16.8076 | + | 29.1117i | 0.725979 | + | 1.25743i | ||||
\(537\) | −4.79308 | −0.206837 | ||||||||
\(538\) | 69.1600 | 2.98170 | ||||||||
\(539\) | −6.28549 | − | 10.8868i | −0.270735 | − | 0.468927i | ||||
\(540\) | −19.9670 | − | 34.5838i | −0.859242 | − | 1.48825i | ||||
\(541\) | 10.4354 | − | 18.0747i | 0.448654 | − | 0.777091i | −0.549645 | − | 0.835399i | \(-0.685237\pi\) |
0.998299 | + | 0.0583071i | \(0.0185702\pi\) | |||||||
\(542\) | 2.40399 | − | 4.16384i | 0.103260 | − | 0.178852i | ||||
\(543\) | −2.78756 | −0.119626 | ||||||||
\(544\) | −16.5649 | + | 28.6912i | −0.710213 | + | 1.23013i | ||||
\(545\) | −21.4191 | + | 37.0990i | −0.917494 | + | 1.58915i | ||||
\(546\) | −5.78112 | + | 10.0132i | −0.247409 | + | 0.428525i | ||||
\(547\) | 12.7651 | + | 22.1098i | 0.545796 | + | 0.945347i | 0.998556 | + | 0.0537143i | \(0.0171060\pi\) |
−0.452760 | + | 0.891632i | \(0.649561\pi\) | |||||||
\(548\) | 45.6987 | 1.95215 | ||||||||
\(549\) | −2.31262 | − | 4.00558i | −0.0987003 | − | 0.170954i | ||||
\(550\) | 31.8949 | − | 55.2436i | 1.36000 | − | 2.35560i | ||||
\(551\) | 0.747356 | 0.0318384 | ||||||||
\(552\) | 0.652264 | − | 1.12975i | 0.0277622 | − | 0.0480856i | ||||
\(553\) | 21.6249 | + | 37.4554i | 0.919584 | + | 1.59277i | ||||
\(554\) | 12.0215 | + | 20.8219i | 0.510745 | + | 0.884636i | ||||
\(555\) | 7.92739 | 0.336499 | ||||||||
\(556\) | −3.83032 | − | 6.63430i | −0.162442 | − | 0.281357i | ||||
\(557\) | 12.5192 | 0.530455 | 0.265227 | − | 0.964186i | \(-0.414553\pi\) | ||||
0.265227 | + | 0.964186i | \(0.414553\pi\) | |||||||
\(558\) | −1.12137 | −0.0474715 | ||||||||
\(559\) | 19.7650 | + | 13.4460i | 0.835969 | + | 0.568704i | ||||
\(560\) | −196.785 | −8.31568 | ||||||||
\(561\) | 1.57120 | 0.0663363 | ||||||||
\(562\) | −20.5580 | − | 35.6075i | −0.867188 | − | 1.50201i | ||||
\(563\) | 16.9991 | 0.716425 | 0.358212 | − | 0.933640i | \(-0.383386\pi\) | ||||
0.358212 | + | 0.933640i | \(0.383386\pi\) | |||||||
\(564\) | −11.8110 | − | 20.4573i | −0.497333 | − | 0.861406i | ||||
\(565\) | −8.83388 | − | 15.3007i | −0.371644 | − | 0.643706i | ||||
\(566\) | 34.0365 | − | 58.9530i | 1.43066 | − | 2.47798i | ||||
\(567\) | −24.6975 | −1.03720 | ||||||||
\(568\) | −5.24228 | + | 9.07989i | −0.219961 | + | 0.380984i | ||||
\(569\) | −12.7511 | − | 22.0856i | −0.534554 | − | 0.925875i | −0.999185 | − | 0.0403706i | \(-0.987146\pi\) |
0.464630 | − | 0.885505i | \(-0.346187\pi\) | |||||||
\(570\) | 8.10118 | 0.339321 | ||||||||
\(571\) | −14.2822 | − | 24.7375i | −0.597691 | − | 1.03523i | −0.993161 | − | 0.116753i | \(-0.962751\pi\) |
0.395470 | − | 0.918479i | \(-0.370582\pi\) | |||||||
\(572\) | 47.7611 | − | 82.7246i | 1.99699 | − | 3.45889i | ||||
\(573\) | −2.36995 | + | 4.10488i | −0.0990062 | + | 0.171484i | ||||
\(574\) | −35.6525 | + | 61.7519i | −1.48811 | + | 2.57748i | ||||
\(575\) | −1.67575 | −0.0698837 | ||||||||
\(576\) | 77.7861 | − | 134.730i | 3.24109 | − | 5.61373i | ||||
\(577\) | 4.73006 | − | 8.19271i | 0.196915 | − | 0.341067i | −0.750612 | − | 0.660744i | \(-0.770241\pi\) |
0.947527 | + | 0.319677i | \(0.103574\pi\) | |||||||
\(578\) | 1.41130 | + | 2.44444i | 0.0587022 | + | 0.101675i | ||||
\(579\) | 0.585084 | + | 1.01340i | 0.0243153 | + | 0.0421153i | ||||
\(580\) | 5.64083 | 0.234223 | ||||||||
\(581\) | −52.0464 | −2.15925 | ||||||||
\(582\) | 1.79830 | + | 3.11475i | 0.0745421 | + | 0.129111i | ||||
\(583\) | 14.0038 | + | 24.2553i | 0.579978 | + | 1.00455i | ||||
\(584\) | −58.2309 | + | 100.859i | −2.40961 | + | 4.17357i | ||||
\(585\) | −16.6749 | + | 28.8818i | −0.689423 | + | 1.19412i | ||||
\(586\) | −23.4536 | −0.968858 | ||||||||
\(587\) | 10.6650 | − | 18.4722i | 0.440190 | − | 0.762431i | −0.557513 | − | 0.830168i | \(-0.688245\pi\) |
0.997703 | + | 0.0677369i | \(0.0215778\pi\) | |||||||
\(588\) | 3.05596 | − | 5.29308i | 0.126026 | − | 0.218283i | ||||
\(589\) | 0.174177 | − | 0.301684i | 0.00717684 | − | 0.0124307i | ||||
\(590\) | 6.86927 | + | 11.8979i | 0.282803 | + | 0.489830i | ||||
\(591\) | 2.77469 | 0.114135 | ||||||||
\(592\) | 68.4127 | + | 118.494i | 2.81174 | + | 4.87008i | ||||
\(593\) | 5.76285 | − | 9.98155i | 0.236652 | − | 0.409893i | −0.723100 | − | 0.690744i | \(-0.757283\pi\) |
0.959751 | + | 0.280851i | \(0.0906166\pi\) | |||||||
\(594\) | −26.0415 | −1.06849 | ||||||||
\(595\) | −5.00180 | + | 8.66337i | −0.205054 | + | 0.355164i | ||||
\(596\) | 42.0953 | + | 72.9113i | 1.72429 | + | 2.98656i | ||||
\(597\) | −2.65244 | − | 4.59415i | −0.108557 | − | 0.188026i | ||||
\(598\) | −3.35043 | −0.137009 | ||||||||
\(599\) | −3.36627 | − | 5.83055i | −0.137542 | − | 0.238230i | 0.789024 | − | 0.614363i | \(-0.210587\pi\) |
−0.926566 | + | 0.376133i | \(0.877254\pi\) | |||||||
\(600\) | 20.6190 | 0.841766 | ||||||||
\(601\) | 14.1696 | 0.577992 | 0.288996 | − | 0.957330i | \(-0.406679\pi\) | ||||
0.288996 | + | 0.957330i | \(0.406679\pi\) | |||||||
\(602\) | −48.0605 | − | 32.6952i | −1.95880 | − | 1.33256i | ||||
\(603\) | −8.62192 | −0.351112 | ||||||||
\(604\) | 28.2359 | 1.14890 | ||||||||
\(605\) | −13.1927 | − | 22.8505i | −0.536361 | − | 0.929005i | ||||
\(606\) | −5.21920 | −0.212015 | ||||||||
\(607\) | −6.91576 | − | 11.9785i | −0.280702 | − | 0.486191i | 0.690856 | − | 0.722993i | \(-0.257234\pi\) |
−0.971558 | + | 0.236802i | \(0.923901\pi\) | |||||||
\(608\) | 41.7147 | + | 72.2520i | 1.69175 | + | 2.93020i | ||||
\(609\) | −0.166739 | + | 0.288800i | −0.00675659 | + | 0.0117028i | ||||
\(610\) | 14.4797 | 0.586266 | ||||||||
\(611\) | −20.1670 | + | 34.9303i | −0.815870 | + | 1.41313i | ||||
\(612\) | −8.56860 | − | 14.8412i | −0.346365 | − | 0.599922i | ||||
\(613\) | −44.7789 | −1.80860 | −0.904301 | − | 0.426895i | \(-0.859607\pi\) | ||||
−0.904301 | + | 0.426895i | \(0.859607\pi\) | |||||||
\(614\) | −28.9740 | − | 50.1845i | −1.16930 | − | 2.02528i | ||||
\(615\) | 4.58398 | − | 7.93969i | 0.184844 | − | 0.320159i | ||||
\(616\) | −77.2100 | + | 133.732i | −3.11088 | + | 5.38820i | ||||
\(617\) | −4.71277 | + | 8.16275i | −0.189729 | + | 0.328620i | −0.945160 | − | 0.326608i | \(-0.894094\pi\) |
0.755431 | + | 0.655228i | \(0.227428\pi\) | |||||||
\(618\) | 13.2291 | 0.532152 | ||||||||
\(619\) | −3.28225 | + | 5.68502i | −0.131925 | + | 0.228500i | −0.924418 | − | 0.381380i | \(-0.875449\pi\) |
0.792494 | + | 0.609880i | \(0.208782\pi\) | |||||||
\(620\) | 1.31464 | − | 2.27702i | 0.0527972 | − | 0.0914474i | ||||
\(621\) | 0.342053 | + | 0.592454i | 0.0137261 | + | 0.0237744i | ||||
\(622\) | −47.1109 | − | 81.5986i | −1.88898 | − | 3.27180i | ||||
\(623\) | 39.2893 | 1.57409 | ||||||||
\(624\) | 25.6585 | 1.02716 | ||||||||
\(625\) | 12.1230 | + | 20.9977i | 0.484921 | + | 0.839908i | ||||
\(626\) | −3.32395 | − | 5.75725i | −0.132852 | − | 0.230106i | ||||
\(627\) | 1.97835 | − | 3.42661i | 0.0790078 | − | 0.136845i | ||||
\(628\) | 7.84789 | − | 13.5929i | 0.313165 | − | 0.542418i | ||||
\(629\) | 6.95554 | 0.277336 | ||||||||
\(630\) | 40.5467 | − | 70.2290i | 1.61542 | − | 2.79799i | ||||
\(631\) | 18.0473 | − | 31.2588i | 0.718450 | − | 1.24439i | −0.243164 | − | 0.969985i | \(-0.578185\pi\) |
0.961614 | − | 0.274406i | \(-0.0884813\pi\) | |||||||
\(632\) | 77.1027 | − | 133.546i | 3.06698 | − | 5.31217i | ||||
\(633\) | −3.18769 | − | 5.52124i | −0.126699 | − | 0.219450i | ||||
\(634\) | 14.0094 | 0.556383 | ||||||||
\(635\) | 3.50751 | + | 6.07519i | 0.139191 | + | 0.241087i | ||||
\(636\) | −6.80855 | + | 11.7927i | −0.269976 | + | 0.467613i | ||||
\(637\) | −10.4360 | −0.413487 | ||||||||
\(638\) | 1.83923 | − | 3.18564i | 0.0728159 | − | 0.126121i | ||||
\(639\) | −1.34458 | − | 2.32888i | −0.0531908 | − | 0.0921292i | ||||
\(640\) | 137.986 | + | 238.998i | 5.45437 | + | 9.44724i | ||||
\(641\) | −37.4832 | −1.48050 | −0.740249 | − | 0.672333i | \(-0.765293\pi\) | ||||
−0.740249 | + | 0.672333i | \(0.765293\pi\) | |||||||
\(642\) | −8.77761 | − | 15.2033i | −0.346424 | − | 0.600025i | ||||
\(643\) | 7.12850 | 0.281121 | 0.140560 | − | 0.990072i | \(-0.455110\pi\) | ||||
0.140560 | + | 0.990072i | \(0.455110\pi\) | |||||||
\(644\) | 6.10176 | 0.240443 | ||||||||
\(645\) | 6.17933 | + | 4.20375i | 0.243311 | + | 0.165523i | ||||
\(646\) | 7.10803 | 0.279662 | ||||||||
\(647\) | 13.6327 | 0.535958 | 0.267979 | − | 0.963425i | \(-0.413644\pi\) | ||||
0.267979 | + | 0.963425i | \(0.413644\pi\) | |||||||
\(648\) | 44.0290 | + | 76.2604i | 1.72962 | + | 2.99579i | ||||
\(649\) | 6.71005 | 0.263393 | ||||||||
\(650\) | −26.4779 | − | 45.8611i | −1.03855 | − | 1.79882i | ||||
\(651\) | 0.0777195 | + | 0.134614i | 0.00304607 | + | 0.00527594i | ||||
\(652\) | −38.7018 | + | 67.0335i | −1.51568 | + | 2.62524i | ||||
\(653\) | −48.4798 | −1.89716 | −0.948581 | − | 0.316533i | \(-0.897481\pi\) | ||||
−0.948581 | + | 0.316533i | \(0.897481\pi\) | |||||||
\(654\) | −6.79099 | + | 11.7623i | −0.265549 | + | 0.459944i | ||||
\(655\) | −11.6782 | − | 20.2273i | −0.456305 | − | 0.790344i | ||||
\(656\) | 158.237 | 6.17813 | ||||||||
\(657\) | −14.9355 | − | 25.8691i | −0.582691 | − | 1.00925i | ||||
\(658\) | 49.0381 | − | 84.9365i | 1.91170 | − | 3.31117i | ||||
\(659\) | 19.9355 | − | 34.5293i | 0.776577 | − | 1.34507i | −0.157327 | − | 0.987547i | \(-0.550288\pi\) |
0.933904 | − | 0.357524i | \(-0.116379\pi\) | |||||||
\(660\) | 14.9320 | − | 25.8631i | 0.581229 | − | 1.00672i | ||||
\(661\) | −12.7136 | −0.494503 | −0.247251 | − | 0.968951i | \(-0.579527\pi\) | ||||
−0.247251 | + | 0.968951i | \(0.579527\pi\) | |||||||
\(662\) | −23.7049 | + | 41.0581i | −0.921317 | + | 1.59577i | ||||
\(663\) | 0.652177 | − | 1.12960i | 0.0253285 | − | 0.0438702i | ||||
\(664\) | 92.7848 | + | 160.708i | 3.60075 | + | 6.23668i | ||||
\(665\) | 12.5958 | + | 21.8166i | 0.488446 | + | 0.846013i | ||||
\(666\) | −56.3846 | −2.18486 | ||||||||
\(667\) | −0.0966329 | −0.00374164 | ||||||||
\(668\) | −15.8023 | − | 27.3704i | −0.611410 | − | 1.05899i | ||||
\(669\) | 0.620141 | + | 1.07412i | 0.0239760 | + | 0.0415277i | ||||
\(670\) | 13.4958 | − | 23.3754i | 0.521389 | − | 0.903072i | ||||
\(671\) | 3.53602 | − | 6.12457i | 0.136507 | − | 0.236436i | ||||
\(672\) | −37.2270 | −1.43606 | ||||||||
\(673\) | 10.5064 | − | 18.1977i | 0.404993 | − | 0.701468i | −0.589328 | − | 0.807894i | \(-0.700607\pi\) |
0.994321 | + | 0.106426i | \(0.0339406\pi\) | |||||||
\(674\) | −11.0955 | + | 19.2180i | −0.427384 | + | 0.740251i | ||||
\(675\) | −5.40639 | + | 9.36414i | −0.208092 | + | 0.360426i | ||||
\(676\) | −0.863714 | − | 1.49600i | −0.0332198 | − | 0.0575383i | ||||
\(677\) | 32.3382 | 1.24286 | 0.621430 | − | 0.783470i | \(-0.286552\pi\) | ||||
0.621430 | + | 0.783470i | \(0.286552\pi\) | |||||||
\(678\) | −2.80080 | − | 4.85114i | −0.107564 | − | 0.186307i | ||||
\(679\) | −5.59206 | + | 9.68573i | −0.214604 | + | 0.371704i | ||||
\(680\) | 35.6675 | 1.36778 | ||||||||
\(681\) | −0.522797 | + | 0.905512i | −0.0200336 | + | 0.0346993i | ||||
\(682\) | −0.857294 | − | 1.48488i | −0.0328275 | − | 0.0568589i | ||||
\(683\) | −11.6250 | − | 20.1351i | −0.444819 | − | 0.770449i | 0.553221 | − | 0.833035i | \(-0.313399\pi\) |
−0.998040 | + | 0.0625857i | \(0.980065\pi\) | |||||||
\(684\) | −43.1559 | −1.65011 | ||||||||
\(685\) | −12.1976 | − | 21.1268i | −0.466045 | − | 0.807214i | ||||
\(686\) | −36.6743 | −1.40023 | ||||||||
\(687\) | −6.57821 | −0.250974 | ||||||||
\(688\) | −9.50827 | + | 128.643i | −0.362500 | + | 4.90448i | ||||
\(689\) | 23.2509 | 0.885787 | ||||||||
\(690\) | −1.04748 | −0.0398769 | ||||||||
\(691\) | −4.60975 | − | 7.98431i | −0.175363 | − | 0.303738i | 0.764924 | − | 0.644121i | \(-0.222777\pi\) |
−0.940287 | + | 0.340383i | \(0.889443\pi\) | |||||||
\(692\) | −113.139 | −4.30089 | ||||||||
\(693\) | −19.8035 | − | 34.3006i | −0.752271 | − | 1.30297i | ||||
\(694\) | 16.2356 | + | 28.1208i | 0.616294 | + | 1.06745i | ||||
\(695\) | −2.04472 | + | 3.54156i | −0.0775608 | + | 0.134339i | ||||
\(696\) | 1.18900 | 0.0450689 | ||||||||
\(697\) | 4.02201 | − | 6.96633i | 0.152345 | − | 0.263869i | ||||
\(698\) | 47.9457 | + | 83.0444i | 1.81477 | + | 3.14328i | ||||
\(699\) | −7.75175 | −0.293198 | ||||||||
\(700\) | 48.2212 | + | 83.5216i | 1.82259 | + | 3.15682i | ||||
\(701\) | −20.4869 | + | 35.4844i | −0.773781 | + | 1.34023i | 0.161696 | + | 0.986841i | \(0.448304\pi\) |
−0.935477 | + | 0.353387i | \(0.885030\pi\) | |||||||
\(702\) | −10.8093 | + | 18.7223i | −0.407971 | + | 0.706627i | ||||
\(703\) | 8.75793 | − | 15.1692i | 0.330312 | − | 0.572117i | ||||
\(704\) | 237.871 | 8.96512 | ||||||||
\(705\) | −6.30502 | + | 10.9206i | −0.237461 | + | 0.411294i | ||||
\(706\) | −14.6568 | + | 25.3862i | −0.551614 | + | 0.955424i | ||||
\(707\) | −8.11489 | − | 14.0554i | −0.305192 | − | 0.528608i | ||||
\(708\) | 1.63119 | + | 2.82530i | 0.0613038 | + | 0.106181i | ||||
\(709\) | 22.9753 | 0.862857 | 0.431428 | − | 0.902147i | \(-0.358010\pi\) | ||||
0.431428 | + | 0.902147i | \(0.358010\pi\) | |||||||
\(710\) | 8.41865 | 0.315946 | ||||||||
\(711\) | 19.7759 | + | 34.2529i | 0.741655 | + | 1.28458i | ||||
\(712\) | −70.0422 | − | 121.317i | −2.62494 | − | 4.54654i | ||||
\(713\) | −0.0225210 | + | 0.0390076i | −0.000843420 | + | 0.00146085i | ||||
\(714\) | −1.58583 | + | 2.74675i | −0.0593484 | + | 0.102794i | ||||
\(715\) | −50.9922 | −1.90700 | ||||||||
\(716\) | −39.9670 | + | 69.2249i | −1.49364 | + | 2.58706i | ||||
\(717\) | 1.17724 | − | 2.03904i | 0.0439648 | − | 0.0761492i | ||||
\(718\) | 28.6888 | − | 49.6905i | 1.07066 | − | 1.85443i | ||||
\(719\) | 9.63663 | + | 16.6911i | 0.359386 | + | 0.622474i | 0.987858 | − | 0.155357i | \(-0.0496529\pi\) |
−0.628473 | + | 0.777832i | \(0.716320\pi\) | |||||||
\(720\) | −179.960 | −6.70670 | ||||||||
\(721\) | 20.5688 | + | 35.6262i | 0.766021 | + | 1.32679i | ||||
\(722\) | −17.8647 | + | 30.9426i | −0.664855 | + | 1.15156i | ||||
\(723\) | −3.21594 | −0.119602 | ||||||||
\(724\) | −23.2440 | + | 40.2598i | −0.863858 | + | 1.49625i | ||||
\(725\) | −0.763675 | − | 1.32272i | −0.0283622 | − | 0.0491247i | ||||
\(726\) | −4.18280 | − | 7.24482i | −0.155238 | − | 0.268880i | ||||
\(727\) | 25.8544 | 0.958886 | 0.479443 | − | 0.877573i | \(-0.340839\pi\) | ||||
0.479443 | + | 0.877573i | \(0.340839\pi\) | |||||||
\(728\) | 64.0968 | + | 111.019i | 2.37559 | + | 4.11464i | ||||
\(729\) | −20.3306 | −0.752985 | ||||||||
\(730\) | 93.5138 | 3.46110 | ||||||||
\(731\) | 5.42178 | + | 3.68840i | 0.200532 | + | 0.136420i | ||||
\(732\) | 3.43838 | 0.127086 | ||||||||
\(733\) | −12.9458 | −0.478165 | −0.239082 | − | 0.970999i | \(-0.576847\pi\) | ||||
−0.239082 | + | 0.970999i | \(0.576847\pi\) | |||||||
\(734\) | −0.638679 | − | 1.10622i | −0.0235741 | − | 0.0408315i | ||||
\(735\) | −3.26270 | −0.120347 | ||||||||
\(736\) | −5.39370 | − | 9.34216i | −0.198814 | − | 0.344356i | ||||
\(737\) | −6.59150 | − | 11.4168i | −0.242801 | − | 0.420544i | ||||
\(738\) | −32.6042 | + | 56.4721i | −1.20018 | + | 2.07877i | ||||
\(739\) | −11.5875 | −0.426254 | −0.213127 | − | 0.977025i | \(-0.568365\pi\) | ||||
−0.213127 | + | 0.977025i | \(0.568365\pi\) | |||||||
\(740\) | 66.1024 | − | 114.493i | 2.42997 | − | 4.20884i | ||||
\(741\) | −1.64235 | − | 2.84464i | −0.0603333 | − | 0.104500i | ||||
\(742\) | −56.5368 | −2.07553 | ||||||||
\(743\) | 13.7149 | + | 23.7549i | 0.503151 | + | 0.871483i | 0.999993 | + | 0.00364204i | \(0.00115930\pi\) |
−0.496843 | + | 0.867841i | \(0.665507\pi\) | |||||||
\(744\) | 0.277106 | − | 0.479961i | 0.0101592 | − | 0.0175962i | ||||
\(745\) | 22.4716 | − | 38.9219i | 0.823295 | − | 1.42599i | ||||
\(746\) | −31.7670 | + | 55.0220i | −1.16307 | + | 2.01450i | ||||
\(747\) | −47.5964 | −1.74146 | ||||||||
\(748\) | 13.1015 | − | 22.6924i | 0.479037 | − | 0.829716i | ||||
\(749\) | 27.2951 | − | 47.2765i | 0.997341 | − | 1.72745i | ||||
\(750\) | −0.235638 | − | 0.408136i | −0.00860427 | − | 0.0149030i | ||||
\(751\) | 18.8035 | + | 32.5686i | 0.686150 | + | 1.18845i | 0.973074 | + | 0.230493i | \(0.0740340\pi\) |
−0.286924 | + | 0.957953i | \(0.592633\pi\) | |||||||
\(752\) | −217.647 | −7.93677 | ||||||||
\(753\) | 8.21519 | 0.299378 | ||||||||
\(754\) | −1.52686 | − | 2.64460i | −0.0556050 | − | 0.0963106i | ||||
\(755\) | −7.53652 | − | 13.0536i | −0.274282 | − | 0.475070i | ||||
\(756\) | 19.6858 | − | 34.0968i | 0.715964 | − | 1.24009i | ||||
\(757\) | 1.56322 | − | 2.70757i | 0.0568162 | − | 0.0984085i | −0.836218 | − | 0.548397i | \(-0.815238\pi\) |
0.893035 | + | 0.449988i | \(0.148572\pi\) | |||||||
\(758\) | 5.52403 | 0.200642 | ||||||||
\(759\) | −0.255800 | + | 0.443059i | −0.00928496 | + | 0.0160820i | ||||
\(760\) | 44.9100 | − | 77.7864i | 1.62906 | − | 2.82161i | ||||
\(761\) | 2.25141 | − | 3.89955i | 0.0816135 | − | 0.141359i | −0.822330 | − | 0.569011i | \(-0.807326\pi\) |
0.903943 | + | 0.427653i | \(0.140659\pi\) | |||||||
\(762\) | 1.11207 | + | 1.92616i | 0.0402859 | + | 0.0697773i | ||||
\(763\) | −42.2349 | −1.52901 | ||||||||
\(764\) | 39.5236 | + | 68.4569i | 1.42991 | + | 2.47668i | ||||
\(765\) | −4.57414 | + | 7.92264i | −0.165378 | + | 0.286444i | ||||
\(766\) | −3.36291 | −0.121507 | ||||||||
\(767\) | 2.78521 | − | 4.82413i | 0.100568 | − | 0.174189i | ||||
\(768\) | 24.3671 | + | 42.2050i | 0.879270 | + | 1.52294i | ||||
\(769\) | −1.87359 | − | 3.24515i | −0.0675634 | − | 0.117023i | 0.830265 | − | 0.557369i | \(-0.188189\pi\) |
−0.897828 | + | 0.440346i | \(0.854856\pi\) | |||||||
\(770\) | 123.993 | 4.46839 | ||||||||
\(771\) | 2.61445 | + | 4.52836i | 0.0941571 | + | 0.163085i | ||||
\(772\) | 19.5149 | 0.702355 | ||||||||
\(773\) | −7.49980 | −0.269749 | −0.134875 | − | 0.990863i | \(-0.543063\pi\) | ||||
−0.134875 | + | 0.990863i | \(0.543063\pi\) | |||||||
\(774\) | −43.9513 | − | 29.8997i | −1.57980 | − | 1.07472i | ||||
\(775\) | −0.711921 | −0.0255730 | ||||||||
\(776\) | 39.8765 | 1.43148 | ||||||||
\(777\) | 3.90787 | + | 6.76863i | 0.140194 | + | 0.242823i | ||||
\(778\) | −21.0611 | −0.755076 | ||||||||
\(779\) | −10.1285 | − | 17.5430i | −0.362890 | − | 0.628545i | ||||
\(780\) | −12.3960 | − | 21.4705i | −0.443848 | − | 0.768768i | ||||
\(781\) | 2.05588 | − | 3.56089i | 0.0735651 | − | 0.127419i | ||||
\(782\) | −0.919066 | −0.0328657 | ||||||||
\(783\) | −0.311761 | + | 0.539987i | −0.0111414 | + | 0.0192975i | ||||
\(784\) | −28.1568 | − | 48.7690i | −1.00560 | − | 1.74175i | ||||
\(785\) | −8.37881 | −0.299053 | ||||||||
\(786\) | −3.70261 | − | 6.41311i | −0.132068 | − | 0.228748i | ||||
\(787\) | 0.0844320 | − | 0.146240i | 0.00300967 | − | 0.00521291i | −0.864517 | − | 0.502604i | \(-0.832375\pi\) |
0.867526 | + | 0.497391i | \(0.165709\pi\) | |||||||
\(788\) | 23.1367 | − | 40.0739i | 0.824211 | − | 1.42757i | ||||
\(789\) | −0.765571 | + | 1.32601i | −0.0272551 | + | 0.0472072i | ||||
\(790\) | −123.820 | −4.40533 | ||||||||
\(791\) | 8.70946 | − | 15.0852i | 0.309673 | − | 0.536369i | ||||
\(792\) | −70.6085 | + | 122.297i | −2.50896 | + | 4.34565i | ||||
\(793\) | −2.93547 | − | 5.08438i | −0.104242 | − | 0.180552i | ||||
\(794\) | −17.4988 | − | 30.3088i | −0.621009 | − | 1.07562i | ||||
\(795\) | 7.26916 | 0.257810 | ||||||||
\(796\) | −88.4692 | −3.13571 | ||||||||
\(797\) | −3.75011 | − | 6.49538i | −0.132836 | − | 0.230078i | 0.791933 | − | 0.610608i | \(-0.209075\pi\) |
−0.924769 | + | 0.380530i | \(0.875742\pi\) | |||||||
\(798\) | 3.99354 | + | 6.91702i | 0.141370 | + | 0.244860i | ||||
\(799\) | −5.53206 | + | 9.58182i | −0.195710 | + | 0.338980i | ||||
\(800\) | 85.2511 | − | 147.659i | 3.01408 | − | 5.22054i | ||||
\(801\) | 35.9300 | 1.26952 | ||||||||
\(802\) | 30.0013 | − | 51.9638i | 1.05938 | − | 1.83491i | ||||
\(803\) | 22.8366 | − | 39.5541i | 0.805885 | − | 1.39583i | ||||
\(804\) | 3.20474 | − | 5.55077i | 0.113022 | − | 0.195760i | ||||
\(805\) | −1.62864 | − | 2.82088i | −0.0574019 | − | 0.0994231i | ||||
\(806\) | −1.42339 | −0.0501366 | ||||||||
\(807\) | −4.38347 | − | 7.59239i | −0.154305 | − | 0.267265i | ||||
\(808\) | −28.9333 | + | 50.1140i | −1.01787 | + | 1.76300i | ||||
\(809\) | −5.61490 | −0.197409 | −0.0987047 | − | 0.995117i | \(-0.531470\pi\) | ||||
−0.0987047 | + | 0.995117i | \(0.531470\pi\) | |||||||
\(810\) | 35.3534 | − | 61.2338i | 1.24219 | − | 2.15154i | ||||
\(811\) | 3.41144 | + | 5.90878i | 0.119792 | + | 0.207485i | 0.919685 | − | 0.392657i | \(-0.128444\pi\) |
−0.799893 | + | 0.600142i | \(0.795111\pi\) | |||||||
\(812\) | 2.78069 | + | 4.81630i | 0.0975832 | + | 0.169019i | ||||
\(813\) | −0.609476 | −0.0213752 | ||||||||
\(814\) | −43.1063 | − | 74.6623i | −1.51087 | − | 2.61691i | ||||
\(815\) | 41.3201 | 1.44738 | ||||||||
\(816\) | 7.03845 | 0.246395 | ||||||||
\(817\) | 14.8707 | − | 7.18007i | 0.520259 | − | 0.251199i | ||||
\(818\) | 15.0296 | 0.525496 | ||||||||
\(819\) | −32.8801 | −1.14893 | ||||||||
\(820\) | −76.4469 | − | 132.410i | −2.66964 | − | 4.62396i | ||||
\(821\) | 26.3699 | 0.920317 | 0.460158 | − | 0.887837i | \(-0.347793\pi\) | ||||
0.460158 | + | 0.887837i | \(0.347793\pi\) | |||||||
\(822\) | −3.86728 | − | 6.69832i | −0.134887 | − | 0.233631i | ||||
\(823\) | −1.30821 | − | 2.26589i | −0.0456015 | − | 0.0789841i | 0.842324 | − | 0.538972i | \(-0.181187\pi\) |
−0.887925 | + | 0.459988i | \(0.847854\pi\) | |||||||
\(824\) | 73.3372 | − | 127.024i | 2.55482 | − | 4.42508i | ||||
\(825\) | −8.08620 | −0.281525 | ||||||||
\(826\) | −6.77253 | + | 11.7304i | −0.235646 | + | 0.408152i | ||||
\(827\) | 3.27062 | + | 5.66487i | 0.113730 | + | 0.196987i | 0.917272 | − | 0.398262i | \(-0.130387\pi\) |
−0.803541 | + | 0.595249i | \(0.797053\pi\) | |||||||
\(828\) | 5.58005 | 0.193920 | ||||||||
\(829\) | 6.41224 | + | 11.1063i | 0.222706 | + | 0.385739i | 0.955629 | − | 0.294573i | \(-0.0951776\pi\) |
−0.732922 | + | 0.680312i | \(0.761844\pi\) | |||||||
\(830\) | 74.5022 | − | 129.042i | 2.58601 | − | 4.47910i | ||||
\(831\) | 1.52388 | − | 2.63944i | 0.0528629 | − | 0.0915613i | ||||
\(832\) | 98.7359 | − | 171.016i | 3.42305 | − | 5.92890i | ||||
\(833\) | −2.86271 | −0.0991871 | ||||||||
\(834\) | −0.648285 | + | 1.12286i | −0.0224483 | + | 0.0388815i | ||||
\(835\) | −8.43568 | + | 14.6110i | −0.291929 | + | 0.505636i | ||||
\(836\) | −32.9929 | − | 57.1454i | −1.14108 | − | 1.97641i | ||||
\(837\) | 0.145317 | + | 0.251696i | 0.00502289 | + | 0.00869989i | ||||
\(838\) | 0.292933 | 0.0101192 | ||||||||
\(839\) | −40.2093 | −1.38818 | −0.694090 | − | 0.719889i | \(-0.744193\pi\) | ||||
−0.694090 | + | 0.719889i | \(0.744193\pi\) | |||||||
\(840\) | 20.0393 | + | 34.7090i | 0.691420 | + | 1.19757i | ||||
\(841\) | 14.4560 | + | 25.0385i | 0.498481 | + | 0.863395i | ||||
\(842\) | −38.9816 | + | 67.5182i | −1.34340 | + | 2.32683i | ||||
\(843\) | −2.60600 | + | 4.51372i | −0.0897554 | + | 0.155461i | ||||
\(844\) | −106.322 | −3.65976 | ||||||||
\(845\) | −0.461073 | + | 0.798601i | −0.0158614 | + | 0.0274727i | ||||
\(846\) | 44.8453 | − | 77.6743i | 1.54181 | − | 2.67050i | ||||
\(847\) | 13.0069 | − | 22.5287i | 0.446924 | − | 0.774095i | ||||
\(848\) | 62.7322 | + | 108.655i | 2.15423 | + | 3.73124i | ||||
\(849\) | −8.62915 | −0.296152 | ||||||||
\(850\) | −7.26323 | − | 12.5803i | −0.249127 | − | 0.431500i | ||||
\(851\) | −1.13240 | + | 1.96137i | −0.0388181 | + | 0.0672349i | ||||
\(852\) | 1.99911 | 0.0684882 | ||||||||
\(853\) | 5.76068 | − | 9.97778i | 0.197242 | − | 0.341633i | −0.750391 | − | 0.660994i | \(-0.770135\pi\) |
0.947633 | + | 0.319361i | \(0.103468\pi\) | |||||||
\(854\) | 7.13789 | + | 12.3632i | 0.244254 | + | 0.423060i | ||||
\(855\) | 11.5189 | + | 19.9513i | 0.393937 | + | 0.682319i | ||||
\(856\) | −194.639 | −6.65263 | ||||||||
\(857\) | −26.0859 | − | 45.1821i | −0.891077 | − | 1.54339i | −0.838586 | − | 0.544769i | \(-0.816617\pi\) |
−0.0524903 | − | 0.998621i | \(-0.516716\pi\) | |||||||
\(858\) | −16.1672 | −0.551940 | ||||||||
\(859\) | 35.7423 | 1.21951 | 0.609757 | − | 0.792589i | \(-0.291267\pi\) | ||||
0.609757 | + | 0.792589i | \(0.291267\pi\) | |||||||
\(860\) | 112.240 | − | 54.1932i | 3.82734 | − | 1.84797i | ||||
\(861\) | 9.03885 | 0.308043 | ||||||||
\(862\) | 55.2911 | 1.88322 | ||||||||
\(863\) | 20.5485 | + | 35.5910i | 0.699478 | + | 1.21153i | 0.968648 | + | 0.248438i | \(0.0799174\pi\) |
−0.269170 | + | 0.963093i | \(0.586749\pi\) | |||||||
\(864\) | −69.6056 | −2.36803 | ||||||||
\(865\) | 30.1982 | + | 52.3048i | 1.02677 | + | 1.77842i | ||||
\(866\) | −42.2263 | − | 73.1382i | −1.43491 | − | 2.48534i | ||||
\(867\) | 0.178900 | − | 0.309865i | 0.00607578 | − | 0.0105236i | ||||
\(868\) | 2.59225 | 0.0879867 | ||||||||
\(869\) | −30.2376 | + | 52.3731i | −1.02574 | + | 1.77663i | ||||
\(870\) | −0.477358 | − | 0.826808i | −0.0161840 | − | 0.0280314i | ||||
\(871\) | −10.9440 | −0.370824 | ||||||||
\(872\) | 75.2935 | + | 130.412i | 2.54976 | + | 4.41631i | ||||
\(873\) | −5.11393 | + | 8.85758i | −0.173080 | + | 0.299784i | ||||
\(874\) | −1.15722 | + | 2.00437i | −0.0391437 | + | 0.0677988i | ||||
\(875\) | 0.732746 | − | 1.26915i | 0.0247713 | − | 0.0429052i | ||||
\(876\) | 22.2059 | 0.750269 | ||||||||
\(877\) | 1.31335 | − | 2.27479i | 0.0443487 | − | 0.0768142i | −0.842999 | − | 0.537915i | \(-0.819212\pi\) |
0.887348 | + | 0.461101i | \(0.152545\pi\) | |||||||
\(878\) | 0.359936 | − | 0.623428i | 0.0121473 | − | 0.0210397i | ||||
\(879\) | 1.48652 | + | 2.57473i | 0.0501392 | + | 0.0868436i | ||||
\(880\) | −137.580 | − | 238.295i | −4.63782 | − | 8.03294i | ||||
\(881\) | −0.449245 | −0.0151355 | −0.00756773 | − | 0.999971i | \(-0.502409\pi\) | ||||
−0.00756773 | + | 0.999971i | \(0.502409\pi\) | |||||||
\(882\) | 23.2064 | 0.781399 | ||||||||
\(883\) | 21.2816 | + | 36.8609i | 0.716184 | + | 1.24047i | 0.962501 | + | 0.271278i | \(0.0874462\pi\) |
−0.246317 | + | 0.969189i | \(0.579221\pi\) | |||||||
\(884\) | −10.8763 | − | 18.8384i | −0.365811 | − | 0.633603i | ||||
\(885\) | 0.870771 | − | 1.50822i | 0.0292706 | − | 0.0506982i | ||||
\(886\) | 47.9480 | − | 83.0484i | 1.61085 | − | 2.79007i | ||||
\(887\) | 37.2616 | 1.25112 | 0.625560 | − | 0.780176i | \(-0.284870\pi\) | ||||
0.625560 | + | 0.780176i | \(0.284870\pi\) | |||||||
\(888\) | 13.9334 | − | 24.1333i | 0.467573 | − | 0.809861i | ||||
\(889\) | −3.45812 | + | 5.98963i | −0.115982 | + | 0.200886i | ||||
\(890\) | −56.2409 | + | 97.4121i | −1.88520 | + | 3.26526i | ||||
\(891\) | −17.2670 | − | 29.9072i | −0.578465 | − | 1.00193i | ||||
\(892\) | 20.6841 | 0.692556 | ||||||||
\(893\) | 13.9312 | + | 24.1295i | 0.466189 | + | 0.807463i | ||||
\(894\) | 7.12468 | − | 12.3403i | 0.238285 | − | 0.412721i | ||||
\(895\) | 42.6709 | 1.42633 | ||||||||
\(896\) | −136.042 | + | 235.632i | −4.54486 | + | 7.87193i | ||||
\(897\) | 0.212356 | + | 0.367811i | 0.00709035 | + | 0.0122808i | ||||
\(898\) | 39.9169 | + | 69.1381i | 1.33204 | + | 2.30717i | ||||
\(899\) | −0.0410532 | −0.00136920 | ||||||||
\(900\) | 44.0982 | + | 76.3804i | 1.46994 | + | 2.54601i | ||||
\(901\) | 6.37800 | 0.212482 | ||||||||
\(902\) | −99.7042 | −3.31979 | ||||||||
\(903\) | −0.543132 | + | 7.34836i | −0.0180743 | + | 0.244538i | ||||
\(904\) | −62.1065 | −2.06563 | ||||||||
\(905\) | 24.8165 | 0.824929 | ||||||||
\(906\) | −2.38947 | − | 4.13869i | −0.0793850 | − | 0.137499i | ||||
\(907\) | −23.4878 | −0.779900 | −0.389950 | − | 0.920836i | \(-0.627508\pi\) | ||||
−0.389950 | + | 0.920836i | \(0.627508\pi\) | |||||||
\(908\) | 8.71868 | + | 15.1012i | 0.289339 | + | 0.501151i | ||||
\(909\) | −7.42105 | − | 12.8536i | −0.246141 | − | 0.426328i | ||||
\(910\) | 51.4670 | − | 89.1434i | 1.70611 | − | 2.95508i | ||||
\(911\) | 57.9009 | 1.91834 | 0.959171 | − | 0.282826i | \(-0.0912717\pi\) | ||||
0.959171 | + | 0.282826i | \(0.0912717\pi\) | |||||||
\(912\) | 8.86232 | − | 15.3500i | 0.293461 | − | 0.508289i | ||||
\(913\) | −36.3877 | − | 63.0253i | −1.20426 | − | 2.08583i | ||||
\(914\) | −97.5653 | −3.22717 | ||||||||
\(915\) | −0.917747 | − | 1.58958i | −0.0303398 | − | 0.0525500i | ||||
\(916\) | −54.8523 | + | 95.0069i | −1.81237 | + | 3.13912i | ||||
\(917\) | 11.5137 | − | 19.9424i | 0.380217 | − | 0.658556i | ||||
\(918\) | −2.96513 | + | 5.13576i | −0.0978639 | + | 0.169505i | ||||
\(919\) | −15.5984 | −0.514542 | −0.257271 | − | 0.966339i | \(-0.582823\pi\) | ||||
−0.257271 | + | 0.966339i | \(0.582823\pi\) | |||||||
\(920\) | −5.80685 | + | 10.0578i | −0.191446 | + | 0.331594i | ||||
\(921\) | −3.67284 | + | 6.36155i | −0.121024 | + | 0.209620i | ||||
\(922\) | 45.2102 | + | 78.3064i | 1.48892 | + | 2.57888i | ||||
\(923\) | −1.70671 | − | 2.95611i | −0.0561771 | − | 0.0973016i | ||||
\(924\) | 29.4435 | 0.968620 | ||||||||
\(925\) | −35.7967 | −1.17699 | ||||||||
\(926\) | −6.30808 | − | 10.9259i | −0.207296 | − | 0.359048i | ||||
\(927\) | 18.8101 | + | 32.5801i | 0.617805 | + | 1.07007i | ||||
\(928\) | 4.91603 | − | 8.51482i | 0.161377 | − | 0.279513i | ||||
\(929\) | −6.49920 | + | 11.2569i | −0.213232 | + | 0.369328i | −0.952724 | − | 0.303837i | \(-0.901732\pi\) |
0.739492 | + | 0.673165i | \(0.235066\pi\) | |||||||
\(930\) | −0.445008 | −0.0145924 | ||||||||
\(931\) | −3.60453 | + | 6.24323i | −0.118134 | + | 0.204614i | ||||
\(932\) | −64.6378 | + | 111.956i | −2.11728 | + | 3.66724i | ||||
\(933\) | −5.97193 | + | 10.3437i | −0.195512 | + | 0.338637i | ||||
\(934\) | −14.7307 | − | 25.5143i | −0.482002 | − | 0.834852i | ||||
\(935\) | −13.9878 | −0.457450 | ||||||||
\(936\) | 58.6165 | + | 101.527i | 1.91594 | + | 3.31850i | ||||
\(937\) | −14.5157 | + | 25.1420i | −0.474209 | + | 0.821353i | −0.999564 | − | 0.0295296i | \(-0.990599\pi\) |
0.525355 | + | 0.850883i | \(0.323932\pi\) | |||||||
\(938\) | 26.6115 | 0.868896 | ||||||||
\(939\) | −0.421355 | + | 0.729808i | −0.0137504 | + | 0.0238164i | ||||
\(940\) | 105.149 | + | 182.123i | 3.42957 | + | 5.94019i | ||||
\(941\) | 21.2439 | + | 36.7955i | 0.692531 | + | 1.19950i | 0.971006 | + | 0.239056i | \(0.0768379\pi\) |
−0.278475 | + | 0.960444i | \(0.589829\pi\) | |||||||
\(942\) | −2.65653 | −0.0865543 | ||||||||
\(943\) | 1.30961 | + | 2.26831i | 0.0426467 | + | 0.0738663i | ||||
\(944\) | 30.0587 | 0.978327 | ||||||||
\(945\) | −21.0175 | −0.683701 | ||||||||
\(946\) | 5.99109 | − | 81.0571i | 0.194787 | − | 2.63539i | ||||
\(947\) | 26.2065 | 0.851596 | 0.425798 | − | 0.904818i | \(-0.359993\pi\) | ||||
0.425798 | + | 0.904818i | \(0.359993\pi\) | |||||||
\(948\) | −29.4026 | −0.954952 | ||||||||
\(949\) | −18.9581 | − | 32.8363i | −0.615405 | − | 1.06591i | ||||
\(950\) | −36.5814 | −1.18686 | ||||||||
\(951\) | −0.887936 | − | 1.53795i | −0.0287933 | − | 0.0498714i | ||||
\(952\) | 17.5826 | + | 30.4539i | 0.569854 | + | 0.987017i | ||||
\(953\) | −5.44630 | + | 9.43327i | −0.176423 | + | 0.305574i | −0.940653 | − | 0.339370i | \(-0.889786\pi\) |
0.764230 | + | 0.644944i | \(0.223119\pi\) | |||||||
\(954\) | −51.7028 | −1.67394 | ||||||||
\(955\) | 21.0987 | − | 36.5441i | 0.682739 | − | 1.18254i | ||||
\(956\) | −19.6328 | − | 34.0049i | −0.634969 | − | 1.09980i | ||||
\(957\) | −0.466294 | −0.0150731 | ||||||||
\(958\) | −39.5770 | − | 68.5494i | −1.27867 | − | 2.21473i | ||||
\(959\) | 12.0258 | − | 20.8293i | 0.388333 | − | 0.672613i | ||||
\(960\) | 30.8688 | − | 53.4664i | 0.996287 | − | 1.72562i | ||||
\(961\) | 15.4904 | − | 26.8302i | 0.499691 | − | 0.865491i | ||||
\(962\) | −71.5704 | −2.30752 | ||||||||
\(963\) | 24.9613 | − | 43.2343i | 0.804367 | − | 1.39321i | ||||
\(964\) | −26.8161 | + | 46.4468i | −0.863688 | + | 1.49595i | ||||
\(965\) | −5.20877 | − | 9.02185i | −0.167676 | − | 0.290424i | ||||
\(966\) | −0.516364 | − | 0.894369i | −0.0166137 | − | 0.0287758i | ||||
\(967\) | 17.0277 | 0.547575 | 0.273788 | − | 0.961790i | \(-0.411723\pi\) | ||||
0.273788 | + | 0.961790i | \(0.411723\pi\) | |||||||
\(968\) | −92.7515 | −2.98115 | ||||||||
\(969\) | −0.450518 | − | 0.780320i | −0.0144727 | − | 0.0250675i | ||||
\(970\) | −16.0096 | − | 27.7294i | −0.514037 | − | 0.890337i | ||||
\(971\) | 8.24939 | − | 14.2884i | 0.264735 | − | 0.458535i | −0.702759 | − | 0.711428i | \(-0.748049\pi\) |
0.967494 | + | 0.252893i | \(0.0813821\pi\) | |||||||
\(972\) | 27.2002 | − | 47.1121i | 0.872445 | − | 1.51112i | ||||
\(973\) | −4.03185 | −0.129255 | ||||||||
\(974\) | 34.2130 | − | 59.2587i | 1.09626 | − | 1.89877i | ||||
\(975\) | −3.35643 | + | 5.81350i | −0.107492 | + | 0.186181i | ||||
\(976\) | 15.8401 | − | 27.4359i | 0.507031 | − | 0.878203i | ||||
\(977\) | 9.22895 | + | 15.9850i | 0.295260 | + | 0.511406i | 0.975045 | − | 0.222005i | \(-0.0712603\pi\) |
−0.679785 | + | 0.733411i | \(0.737927\pi\) | |||||||
\(978\) | 13.1006 | 0.418912 | ||||||||
\(979\) | 27.4687 | + | 47.5771i | 0.877902 | + | 1.52057i | ||||
\(980\) | −27.2060 | + | 47.1221i | −0.869063 | + | 1.50526i | ||||
\(981\) | −38.6238 | −1.23316 | ||||||||
\(982\) | −17.4399 | + | 30.2069i | −0.556531 | + | 0.963940i | ||||
\(983\) | −23.7452 | − | 41.1279i | −0.757355 | − | 1.31178i | −0.944195 | − | 0.329387i | \(-0.893158\pi\) |
0.186840 | − | 0.982390i | \(-0.440175\pi\) | |||||||
\(984\) | −16.1138 | − | 27.9100i | −0.513690 | − | 0.889738i | ||||
\(985\) | −24.7019 | −0.787069 | ||||||||
\(986\) | −0.418837 | − | 0.725447i | −0.0133385 | − | 0.0231029i | ||||
\(987\) | −12.4324 | −0.395729 | ||||||||
\(988\) | −54.7789 | −1.74275 | ||||||||
\(989\) | −1.92277 | + | 0.928381i | −0.0611406 | + | 0.0295208i | ||||
\(990\) | 113.391 | 3.60381 | ||||||||
\(991\) | −49.9779 | −1.58760 | −0.793800 | − | 0.608179i | \(-0.791900\pi\) | ||||
−0.793800 | + | 0.608179i | \(0.791900\pi\) | |||||||
\(992\) | −2.29144 | − | 3.96889i | −0.0727533 | − | 0.126012i | ||||
\(993\) | 6.00982 | 0.190716 | ||||||||
\(994\) | 4.15004 | + | 7.18808i | 0.131631 | + | 0.227992i | ||||
\(995\) | 23.6136 | + | 40.8999i | 0.748600 | + | 1.29661i | ||||
\(996\) | 17.6914 | − | 30.6424i | 0.560574 | − | 0.970942i | ||||
\(997\) | 28.9097 | 0.915581 | 0.457790 | − | 0.889060i | \(-0.348641\pi\) | ||||
0.457790 | + | 0.889060i | \(0.348641\pi\) | |||||||
\(998\) | 17.6465 | − | 30.5646i | 0.558589 | − | 0.967504i | ||||
\(999\) | 7.30679 | + | 12.6557i | 0.231177 | + | 0.400410i |
(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 | 731.2.e.a.681.1 | yes | 58 | |
43.6 | even | 3 | inner | 731.2.e.a.307.1 | ✓ | 58 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.e.a.307.1 | ✓ | 58 | 43.6 | even | 3 | inner | |
731.2.e.a.681.1 | yes | 58 | 1.1 | even | 1 | trivial |