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 | 681.3 | ||
Character | \(\chi\) | \(=\) | 731.681 |
Dual form | 731.2.e.a.307.3 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.32507 | −1.64407 | −0.822036 | − | 0.569435i | \(-0.807162\pi\) | ||||
−0.822036 | + | 0.569435i | \(0.807162\pi\) | |||||||
\(3\) | 1.39344 | + | 2.41351i | 0.804504 | + | 1.39344i | 0.916626 | + | 0.399747i | \(0.130902\pi\) |
−0.112122 | + | 0.993694i | \(0.535765\pi\) | |||||||
\(4\) | 3.40595 | 1.70298 | ||||||||
\(5\) | 1.48534 | + | 2.57269i | 0.664266 | + | 1.15054i | 0.979484 | + | 0.201523i | \(0.0645890\pi\) |
−0.315218 | + | 0.949019i | \(0.602078\pi\) | |||||||
\(6\) | −3.23985 | − | 5.61158i | −1.32266 | − | 2.29092i | ||||
\(7\) | 1.79579 | − | 3.11040i | 0.678746 | − | 1.17562i | −0.296613 | − | 0.954998i | \(-0.595857\pi\) |
0.975359 | − | 0.220624i | \(-0.0708094\pi\) | |||||||
\(8\) | −3.26893 | −1.15574 | ||||||||
\(9\) | −2.38336 | + | 4.12809i | −0.794452 | + | 1.37603i | ||||
\(10\) | −3.45353 | − | 5.98168i | −1.09210 | − | 1.89157i | ||||
\(11\) | 0.503913 | 0.151935 | 0.0759677 | − | 0.997110i | \(-0.475795\pi\) | ||||
0.0759677 | + | 0.997110i | \(0.475795\pi\) | |||||||
\(12\) | 4.74599 | + | 8.22030i | 1.37005 | + | 2.37300i | ||||
\(13\) | 1.43942 | − | 2.49315i | 0.399224 | − | 0.691477i | −0.594406 | − | 0.804165i | \(-0.702613\pi\) |
0.993630 | + | 0.112688i | \(0.0359462\pi\) | |||||||
\(14\) | −4.17534 | + | 7.23190i | −1.11591 | + | 1.93281i | ||||
\(15\) | −4.13948 | + | 7.16978i | −1.06881 | + | 1.85123i | ||||
\(16\) | 0.788599 | 0.197150 | ||||||||
\(17\) | 0.500000 | − | 0.866025i | 0.121268 | − | 0.210042i | ||||
\(18\) | 5.54147 | − | 9.59811i | 1.30614 | − | 2.26230i | ||||
\(19\) | 2.51253 | + | 4.35183i | 0.576414 | + | 0.998378i | 0.995886 | + | 0.0906103i | \(0.0288818\pi\) |
−0.419472 | + | 0.907768i | \(0.637785\pi\) | |||||||
\(20\) | 5.05901 | + | 8.76246i | 1.13123 | + | 1.95934i | ||||
\(21\) | 10.0093 | 2.18421 | ||||||||
\(22\) | −1.17163 | −0.249793 | ||||||||
\(23\) | 3.29078 | + | 5.69981i | 0.686176 | + | 1.18849i | 0.973066 | + | 0.230528i | \(0.0740453\pi\) |
−0.286890 | + | 0.957964i | \(0.592621\pi\) | |||||||
\(24\) | −4.55507 | − | 7.88961i | −0.929799 | − | 1.61046i | ||||
\(25\) | −1.91249 | + | 3.31253i | −0.382498 | + | 0.662506i | ||||
\(26\) | −3.34676 | + | 5.79676i | −0.656354 | + | 1.13684i | ||||
\(27\) | −4.92362 | −0.947550 | ||||||||
\(28\) | 6.11638 | − | 10.5939i | 1.15589 | − | 2.00205i | ||||
\(29\) | −2.23638 | + | 3.87352i | −0.415285 | + | 0.719294i | −0.995458 | − | 0.0951986i | \(-0.969651\pi\) |
0.580174 | + | 0.814493i | \(0.302985\pi\) | |||||||
\(30\) | 9.62457 | − | 16.6702i | 1.75720 | − | 3.04356i | ||||
\(31\) | −3.21859 | − | 5.57477i | −0.578077 | − | 1.00126i | −0.995700 | − | 0.0926378i | \(-0.970470\pi\) |
0.417623 | − | 0.908620i | \(-0.362863\pi\) | |||||||
\(32\) | 4.70432 | 0.831614 | ||||||||
\(33\) | 0.702173 | + | 1.21620i | 0.122233 | + | 0.211713i | ||||
\(34\) | −1.16254 | + | 2.01357i | −0.199373 | + | 0.345324i | ||||
\(35\) | 10.6695 | 1.80347 | ||||||||
\(36\) | −8.11759 | + | 14.0601i | −1.35293 | + | 2.34335i | ||||
\(37\) | 3.83987 | + | 6.65085i | 0.631271 | + | 1.09339i | 0.987292 | + | 0.158915i | \(0.0507997\pi\) |
−0.356021 | + | 0.934478i | \(0.615867\pi\) | |||||||
\(38\) | −5.84181 | − | 10.1183i | −0.947667 | − | 1.64141i | ||||
\(39\) | 8.02301 | 1.28471 | ||||||||
\(40\) | −4.85549 | − | 8.40995i | −0.767720 | − | 1.32973i | ||||
\(41\) | 4.22141 | 0.659274 | 0.329637 | − | 0.944108i | \(-0.393074\pi\) | ||||
0.329637 | + | 0.944108i | \(0.393074\pi\) | |||||||
\(42\) | −23.2724 | −3.59100 | ||||||||
\(43\) | −3.41951 | − | 5.59526i | −0.521470 | − | 0.853270i | ||||
\(44\) | 1.71630 | 0.258742 | ||||||||
\(45\) | −14.1604 | −2.11091 | ||||||||
\(46\) | −7.65130 | − | 13.2524i | −1.12812 | − | 1.95397i | ||||
\(47\) | −9.51331 | −1.38766 | −0.693829 | − | 0.720140i | \(-0.744078\pi\) | ||||
−0.693829 | + | 0.720140i | \(0.744078\pi\) | |||||||
\(48\) | 1.09887 | + | 1.90329i | 0.158608 | + | 0.274716i | ||||
\(49\) | −2.94974 | − | 5.10909i | −0.421391 | − | 0.729871i | ||||
\(50\) | 4.44667 | − | 7.70186i | 0.628854 | − | 1.08921i | ||||
\(51\) | 2.78688 | 0.390242 | ||||||||
\(52\) | 4.90260 | − | 8.49156i | 0.679869 | − | 1.17757i | ||||
\(53\) | −2.74262 | − | 4.75036i | −0.376728 | − | 0.652512i | 0.613856 | − | 0.789418i | \(-0.289618\pi\) |
−0.990584 | + | 0.136906i | \(0.956284\pi\) | |||||||
\(54\) | 11.4478 | 1.55784 | ||||||||
\(55\) | 0.748484 | + | 1.29641i | 0.100926 | + | 0.174808i | ||||
\(56\) | −5.87032 | + | 10.1677i | −0.784455 | + | 1.35872i | ||||
\(57\) | −7.00213 | + | 12.1280i | −0.927454 | + | 1.60640i | ||||
\(58\) | 5.19973 | − | 9.00620i | 0.682758 | − | 1.18257i | ||||
\(59\) | −2.40870 | −0.313585 | −0.156793 | − | 0.987632i | \(-0.550115\pi\) | ||||
−0.156793 | + | 0.987632i | \(0.550115\pi\) | |||||||
\(60\) | −14.0989 | + | 24.4199i | −1.82015 | + | 3.15260i | ||||
\(61\) | −2.28404 | + | 3.95607i | −0.292441 | + | 0.506522i | −0.974386 | − | 0.224881i | \(-0.927801\pi\) |
0.681946 | + | 0.731403i | \(0.261134\pi\) | |||||||
\(62\) | 7.48346 | + | 12.9617i | 0.950400 | + | 1.64614i | ||||
\(63\) | 8.56002 | + | 14.8264i | 1.07846 | + | 1.86795i | ||||
\(64\) | −12.5151 | −1.56438 | ||||||||
\(65\) | 8.55215 | 1.06076 | ||||||||
\(66\) | −1.63260 | − | 2.82775i | −0.200959 | − | 0.348072i | ||||
\(67\) | 0.943401 | + | 1.63402i | 0.115255 | + | 0.199627i | 0.917882 | − | 0.396854i | \(-0.129898\pi\) |
−0.802627 | + | 0.596482i | \(0.796565\pi\) | |||||||
\(68\) | 1.70298 | − | 2.94964i | 0.206516 | − | 0.357696i | ||||
\(69\) | −9.17103 | + | 15.8847i | −1.10406 | + | 1.91229i | ||||
\(70\) | −24.8073 | −2.96504 | ||||||||
\(71\) | 6.37565 | − | 11.0430i | 0.756651 | − | 1.31056i | −0.187899 | − | 0.982188i | \(-0.560168\pi\) |
0.944549 | − | 0.328369i | \(-0.106499\pi\) | |||||||
\(72\) | 7.79103 | − | 13.4945i | 0.918182 | − | 1.59034i | ||||
\(73\) | 1.74386 | − | 3.02046i | 0.204104 | − | 0.353518i | −0.745743 | − | 0.666234i | \(-0.767905\pi\) |
0.949847 | + | 0.312716i | \(0.101239\pi\) | |||||||
\(74\) | −8.92797 | − | 15.4637i | −1.03786 | − | 1.79762i | ||||
\(75\) | −10.6598 | −1.23088 | ||||||||
\(76\) | 8.55755 | + | 14.8221i | 0.981619 | + | 1.70021i | ||||
\(77\) | 0.904923 | − | 1.56737i | 0.103126 | − | 0.178619i | ||||
\(78\) | −18.6541 | −2.11216 | ||||||||
\(79\) | 2.32739 | − | 4.03115i | 0.261852 | − | 0.453540i | −0.704882 | − | 0.709324i | \(-0.749000\pi\) |
0.966734 | + | 0.255784i | \(0.0823336\pi\) | |||||||
\(80\) | 1.17134 | + | 2.02882i | 0.130960 | + | 0.226829i | ||||
\(81\) | 0.289298 | + | 0.501079i | 0.0321442 | + | 0.0556755i | ||||
\(82\) | −9.81508 | −1.08389 | ||||||||
\(83\) | 5.65525 | + | 9.79519i | 0.620745 | + | 1.07516i | 0.989347 | + | 0.145574i | \(0.0465030\pi\) |
−0.368602 | + | 0.929587i | \(0.620164\pi\) | |||||||
\(84\) | 34.0913 | 3.71966 | ||||||||
\(85\) | 2.97069 | 0.322216 | ||||||||
\(86\) | 7.95060 | + | 13.0094i | 0.857335 | + | 1.40284i | ||||
\(87\) | −12.4650 | −1.33639 | ||||||||
\(88\) | −1.64726 | −0.175598 | ||||||||
\(89\) | 4.14612 | + | 7.18130i | 0.439488 | + | 0.761216i | 0.997650 | − | 0.0685162i | \(-0.0218265\pi\) |
−0.558162 | + | 0.829732i | \(0.688493\pi\) | |||||||
\(90\) | 32.9239 | 3.47049 | ||||||||
\(91\) | −5.16981 | − | 8.95437i | −0.541943 | − | 0.938673i | ||||
\(92\) | 11.2082 | + | 19.4133i | 1.16854 | + | 2.02397i | ||||
\(93\) | 8.96984 | − | 15.5362i | 0.930129 | − | 1.61103i | ||||
\(94\) | 22.1191 | 2.28141 | ||||||||
\(95\) | −7.46394 | + | 12.9279i | −0.765784 | + | 1.32638i | ||||
\(96\) | 6.55519 | + | 11.3539i | 0.669037 | + | 1.15881i | ||||
\(97\) | −10.2402 | −1.03973 | −0.519867 | − | 0.854247i | \(-0.674018\pi\) | ||||
−0.519867 | + | 0.854247i | \(0.674018\pi\) | |||||||
\(98\) | 6.85835 | + | 11.8790i | 0.692798 | + | 1.19996i | ||||
\(99\) | −1.20100 | + | 2.08020i | −0.120705 | + | 0.209068i | ||||
\(100\) | −6.51384 | + | 11.2823i | −0.651384 | + | 1.12823i | ||||
\(101\) | 6.61995 | − | 11.4661i | 0.658709 | − | 1.14092i | −0.322241 | − | 0.946658i | \(-0.604436\pi\) |
0.980950 | − | 0.194260i | \(-0.0622307\pi\) | |||||||
\(102\) | −6.47970 | −0.641585 | ||||||||
\(103\) | −7.17269 | + | 12.4235i | −0.706746 | + | 1.22412i | 0.259311 | + | 0.965794i | \(0.416504\pi\) |
−0.966058 | + | 0.258327i | \(0.916829\pi\) | |||||||
\(104\) | −4.70538 | + | 8.14996i | −0.461400 | + | 0.799169i | ||||
\(105\) | 14.8673 | + | 25.7509i | 1.45090 | + | 2.51303i | ||||
\(106\) | 6.37679 | + | 11.0449i | 0.619368 | + | 1.07278i | ||||
\(107\) | −12.0291 | −1.16290 | −0.581451 | − | 0.813582i | \(-0.697515\pi\) | ||||
−0.581451 | + | 0.813582i | \(0.697515\pi\) | |||||||
\(108\) | −16.7696 | −1.61365 | ||||||||
\(109\) | −6.41856 | − | 11.1173i | −0.614786 | − | 1.06484i | −0.990422 | − | 0.138074i | \(-0.955909\pi\) |
0.375635 | − | 0.926767i | \(-0.377424\pi\) | |||||||
\(110\) | −1.74028 | − | 3.01425i | −0.165929 | − | 0.287397i | ||||
\(111\) | −10.7013 | + | 18.5351i | −1.01572 | + | 1.75928i | ||||
\(112\) | 1.41616 | − | 2.45286i | 0.133814 | − | 0.231773i | ||||
\(113\) | −4.82605 | −0.453997 | −0.226998 | − | 0.973895i | \(-0.572891\pi\) | ||||
−0.226998 | + | 0.973895i | \(0.572891\pi\) | |||||||
\(114\) | 16.2804 | − | 28.1985i | 1.52480 | − | 2.64103i | ||||
\(115\) | −9.77589 | + | 16.9323i | −0.911606 | + | 1.57895i | ||||
\(116\) | −7.61699 | + | 13.1930i | −0.707220 | + | 1.22494i | ||||
\(117\) | 6.86132 | + | 11.8841i | 0.634329 | + | 1.09869i | ||||
\(118\) | 5.60039 | 0.515557 | ||||||||
\(119\) | −1.79579 | − | 3.11040i | −0.164620 | − | 0.285130i | ||||
\(120\) | 13.5317 | − | 23.4375i | 1.23527 | − | 2.13955i | ||||
\(121\) | −10.7461 | −0.976916 | ||||||||
\(122\) | 5.31054 | − | 9.19813i | 0.480794 | − | 0.832759i | ||||
\(123\) | 5.88229 | + | 10.1884i | 0.530388 | + | 0.918660i | ||||
\(124\) | −10.9624 | − | 18.9874i | −0.984450 | − | 1.70512i | ||||
\(125\) | 3.49062 | 0.312210 | ||||||||
\(126\) | −19.9027 | − | 34.4724i | −1.77307 | − | 3.07105i | ||||
\(127\) | 16.4456 | 1.45931 | 0.729654 | − | 0.683817i | \(-0.239681\pi\) | ||||
0.729654 | + | 0.683817i | \(0.239681\pi\) | |||||||
\(128\) | 19.6898 | 1.74035 | ||||||||
\(129\) | 8.73934 | − | 16.0497i | 0.769456 | − | 1.41310i | ||||
\(130\) | −19.8843 | −1.74397 | ||||||||
\(131\) | −11.6217 | −1.01539 | −0.507697 | − | 0.861536i | \(-0.669503\pi\) | ||||
−0.507697 | + | 0.861536i | \(0.669503\pi\) | |||||||
\(132\) | 2.39157 | + | 4.14231i | 0.208159 | + | 0.360542i | ||||
\(133\) | 18.0479 | 1.56495 | ||||||||
\(134\) | −2.19347 | − | 3.79921i | −0.189487 | − | 0.328202i | ||||
\(135\) | −7.31326 | − | 12.6669i | −0.629425 | − | 1.09020i | ||||
\(136\) | −1.63447 | + | 2.83098i | −0.140154 | + | 0.242755i | ||||
\(137\) | −5.12027 | −0.437455 | −0.218727 | − | 0.975786i | \(-0.570191\pi\) | ||||
−0.218727 | + | 0.975786i | \(0.570191\pi\) | |||||||
\(138\) | 21.3233 | − | 36.9330i | 1.81516 | − | 3.14395i | ||||
\(139\) | −11.0870 | − | 19.2033i | −0.940390 | − | 1.62880i | −0.764729 | − | 0.644352i | \(-0.777127\pi\) |
−0.175661 | − | 0.984451i | \(-0.556206\pi\) | |||||||
\(140\) | 36.3397 | 3.07126 | ||||||||
\(141\) | −13.2562 | − | 22.9605i | −1.11638 | − | 1.93362i | ||||
\(142\) | −14.8238 | + | 25.6756i | −1.24399 | + | 2.15465i | ||||
\(143\) | 0.725344 | − | 1.25633i | 0.0606563 | − | 0.105060i | ||||
\(144\) | −1.87951 | + | 3.25541i | −0.156626 | + | 0.271284i | ||||
\(145\) | −13.2871 | −1.10344 | ||||||||
\(146\) | −4.05460 | + | 7.02278i | −0.335561 | + | 0.581209i | ||||
\(147\) | 8.22057 | − | 14.2384i | 0.678021 | − | 1.17437i | ||||
\(148\) | 13.0784 | + | 22.6525i | 1.07504 | + | 1.86202i | ||||
\(149\) | −8.58539 | − | 14.8703i | −0.703343 | − | 1.21823i | −0.967286 | − | 0.253687i | \(-0.918357\pi\) |
0.263943 | − | 0.964538i | \(-0.414977\pi\) | |||||||
\(150\) | 24.7847 | 2.02366 | ||||||||
\(151\) | −1.84274 | −0.149960 | −0.0749799 | − | 0.997185i | \(-0.523889\pi\) | ||||
−0.0749799 | + | 0.997185i | \(0.523889\pi\) | |||||||
\(152\) | −8.21330 | − | 14.2258i | −0.666186 | − | 1.15387i | ||||
\(153\) | 2.38336 | + | 4.12809i | 0.192683 | + | 0.333737i | ||||
\(154\) | −2.10401 | + | 3.64425i | −0.169546 | + | 0.293662i | ||||
\(155\) | 9.56144 | − | 16.5609i | 0.767993 | − | 1.33020i | ||||
\(156\) | 27.3260 | 2.18783 | ||||||||
\(157\) | 3.20156 | − | 5.54526i | 0.255512 | − | 0.442560i | −0.709522 | − | 0.704683i | \(-0.751089\pi\) |
0.965035 | + | 0.262123i | \(0.0844226\pi\) | |||||||
\(158\) | −5.41134 | + | 9.37271i | −0.430503 | + | 0.745653i | ||||
\(159\) | 7.64336 | − | 13.2387i | 0.606158 | − | 1.04990i | ||||
\(160\) | 6.98753 | + | 12.1028i | 0.552413 | + | 0.956807i | ||||
\(161\) | 23.6383 | 1.86296 | ||||||||
\(162\) | −0.672638 | − | 1.16504i | −0.0528475 | − | 0.0915345i | ||||
\(163\) | 10.5226 | − | 18.2258i | 0.824197 | − | 1.42755i | −0.0783343 | − | 0.996927i | \(-0.524960\pi\) |
0.902531 | − | 0.430624i | \(-0.141707\pi\) | |||||||
\(164\) | 14.3779 | 1.12273 | ||||||||
\(165\) | −2.08594 | + | 3.61295i | −0.162390 | + | 0.281268i | ||||
\(166\) | −13.1489 | − | 22.7745i | −1.02055 | − | 1.76764i | ||||
\(167\) | 4.65036 | + | 8.05466i | 0.359856 | + | 0.623289i | 0.987936 | − | 0.154860i | \(-0.0494926\pi\) |
−0.628081 | + | 0.778148i | \(0.716159\pi\) | |||||||
\(168\) | −32.7198 | −2.52439 | ||||||||
\(169\) | 2.35612 | + | 4.08092i | 0.181240 | + | 0.313917i | ||||
\(170\) | −6.90705 | −0.529747 | ||||||||
\(171\) | −23.9530 | −1.83173 | ||||||||
\(172\) | −11.6467 | − | 19.0572i | −0.888051 | − | 1.45310i | ||||
\(173\) | 11.0411 | 0.839443 | 0.419721 | − | 0.907653i | \(-0.362128\pi\) | ||||
0.419721 | + | 0.907653i | \(0.362128\pi\) | |||||||
\(174\) | 28.9821 | 2.19713 | ||||||||
\(175\) | 6.86887 | + | 11.8972i | 0.519237 | + | 0.899346i | ||||
\(176\) | 0.397385 | 0.0299540 | ||||||||
\(177\) | −3.35638 | − | 5.81341i | −0.252281 | − | 0.436963i | ||||
\(178\) | −9.64003 | − | 16.6970i | −0.722551 | − | 1.25149i | ||||
\(179\) | 0.475587 | − | 0.823741i | 0.0355470 | − | 0.0615693i | −0.847705 | − | 0.530469i | \(-0.822016\pi\) |
0.883252 | + | 0.468899i | \(0.155349\pi\) | |||||||
\(180\) | −48.2296 | −3.59483 | ||||||||
\(181\) | 11.2289 | − | 19.4491i | 0.834640 | − | 1.44564i | −0.0596826 | − | 0.998217i | \(-0.519009\pi\) |
0.894323 | − | 0.447422i | \(-0.147658\pi\) | |||||||
\(182\) | 12.0202 | + | 20.8195i | 0.890994 | + | 1.54325i | ||||
\(183\) | −12.7307 | −0.941079 | ||||||||
\(184\) | −10.7574 | − | 18.6323i | −0.793043 | − | 1.37359i | ||||
\(185\) | −11.4071 | + | 19.7576i | −0.838663 | + | 1.45261i | ||||
\(186\) | −20.8555 | + | 36.1228i | −1.52920 | + | 2.64865i | ||||
\(187\) | 0.251956 | − | 0.436401i | 0.0184249 | − | 0.0319128i | ||||
\(188\) | −32.4019 | −2.36315 | ||||||||
\(189\) | −8.84179 | + | 15.3144i | −0.643146 | + | 1.11396i | ||||
\(190\) | 17.3542 | − | 30.0583i | 1.25900 | − | 2.18066i | ||||
\(191\) | −9.97449 | − | 17.2763i | −0.721729 | − | 1.25007i | −0.960306 | − | 0.278947i | \(-0.910014\pi\) |
0.238578 | − | 0.971123i | \(-0.423319\pi\) | |||||||
\(192\) | −17.4390 | − | 30.2053i | −1.25855 | − | 2.17988i | ||||
\(193\) | −15.0663 | −1.08449 | −0.542247 | − | 0.840219i | \(-0.682426\pi\) | ||||
−0.542247 | + | 0.840219i | \(0.682426\pi\) | |||||||
\(194\) | 23.8092 | 1.70940 | ||||||||
\(195\) | 11.9169 | + | 20.6407i | 0.853388 | + | 1.47811i | ||||
\(196\) | −10.0467 | − | 17.4013i | −0.717619 | − | 1.24295i | ||||
\(197\) | −10.8742 | + | 18.8346i | −0.774752 | + | 1.34191i | 0.160181 | + | 0.987088i | \(0.448792\pi\) |
−0.934934 | + | 0.354823i | \(0.884541\pi\) | |||||||
\(198\) | 2.79242 | − | 4.83661i | 0.198448 | − | 0.343723i | ||||
\(199\) | 17.8288 | 1.26385 | 0.631927 | − | 0.775028i | \(-0.282264\pi\) | ||||
0.631927 | + | 0.775028i | \(0.282264\pi\) | |||||||
\(200\) | 6.25180 | − | 10.8284i | 0.442069 | − | 0.765686i | ||||
\(201\) | −2.62915 | + | 4.55382i | −0.185446 | + | 0.321201i | ||||
\(202\) | −15.3918 | + | 26.6595i | −1.08297 | + | 1.87575i | ||||
\(203\) | 8.03213 | + | 13.9121i | 0.563745 | + | 0.976436i | ||||
\(204\) | 9.49198 | 0.664572 | ||||||||
\(205\) | 6.27025 | + | 10.8604i | 0.437933 | + | 0.758523i | ||||
\(206\) | 16.6770 | − | 28.8854i | 1.16194 | − | 2.01254i | ||||
\(207\) | −31.3724 | −2.18054 | ||||||||
\(208\) | 1.13513 | − | 1.96610i | 0.0787069 | − | 0.136324i | ||||
\(209\) | 1.26610 | + | 2.19294i | 0.0875777 | + | 0.151689i | ||||
\(210\) | −34.5675 | − | 59.8726i | −2.38538 | − | 4.13160i | ||||
\(211\) | −13.6092 | −0.936896 | −0.468448 | − | 0.883491i | \(-0.655187\pi\) | ||||
−0.468448 | + | 0.883491i | \(0.655187\pi\) | |||||||
\(212\) | −9.34123 | − | 16.1795i | −0.641559 | − | 1.11121i | ||||
\(213\) | 35.5364 | 2.43491 | ||||||||
\(214\) | 27.9686 | 1.91189 | ||||||||
\(215\) | 9.31573 | − | 17.1082i | 0.635328 | − | 1.16677i | ||||
\(216\) | 16.0950 | 1.09512 | ||||||||
\(217\) | −23.1197 | −1.56947 | ||||||||
\(218\) | 14.9236 | + | 25.8484i | 1.01075 | + | 1.75068i | ||||
\(219\) | 9.71988 | 0.656809 | ||||||||
\(220\) | 2.54930 | + | 4.41551i | 0.171874 | + | 0.297694i | ||||
\(221\) | −1.43942 | − | 2.49315i | −0.0968261 | − | 0.167708i | ||||
\(222\) | 24.8812 | − | 43.0955i | 1.66992 | − | 2.89238i | ||||
\(223\) | 5.89939 | 0.395052 | 0.197526 | − | 0.980298i | \(-0.436709\pi\) | ||||
0.197526 | + | 0.980298i | \(0.436709\pi\) | |||||||
\(224\) | 8.44798 | − | 14.6323i | 0.564454 | − | 0.977664i | ||||
\(225\) | −9.11629 | − | 15.7899i | −0.607752 | − | 1.05266i | ||||
\(226\) | 11.2209 | 0.746403 | ||||||||
\(227\) | −8.20693 | − | 14.2148i | −0.544713 | − | 0.943471i | −0.998625 | − | 0.0524241i | \(-0.983305\pi\) |
0.453912 | − | 0.891047i | \(-0.350028\pi\) | |||||||
\(228\) | −23.8489 | + | 41.3075i | −1.57943 | + | 2.73566i | ||||
\(229\) | −1.06288 | + | 1.84097i | −0.0702373 | + | 0.121655i | −0.899005 | − | 0.437938i | \(-0.855709\pi\) |
0.828768 | + | 0.559592i | \(0.189042\pi\) | |||||||
\(230\) | 22.7296 | − | 39.3689i | 1.49875 | − | 2.59591i | ||||
\(231\) | 5.04383 | 0.331859 | ||||||||
\(232\) | 7.31057 | − | 12.6623i | 0.479962 | − | 0.831319i | ||||
\(233\) | −1.53910 | + | 2.66580i | −0.100830 | + | 0.174643i | −0.912027 | − | 0.410131i | \(-0.865483\pi\) |
0.811197 | + | 0.584773i | \(0.198816\pi\) | |||||||
\(234\) | −15.9530 | − | 27.6315i | −1.04288 | − | 1.80633i | ||||
\(235\) | −14.1305 | − | 24.4748i | −0.921774 | − | 1.59656i | ||||
\(236\) | −8.20390 | −0.534028 | ||||||||
\(237\) | 12.9723 | 0.842642 | ||||||||
\(238\) | 4.17534 | + | 7.23190i | 0.270647 | + | 0.468775i | ||||
\(239\) | 14.5834 | + | 25.2592i | 0.943322 | + | 1.63388i | 0.759077 | + | 0.651000i | \(0.225650\pi\) |
0.184244 | + | 0.982880i | \(0.441016\pi\) | |||||||
\(240\) | −3.26439 | + | 5.65408i | −0.210715 | + | 0.364969i | ||||
\(241\) | −7.66282 | + | 13.2724i | −0.493606 | + | 0.854950i | −0.999973 | − | 0.00736776i | \(-0.997655\pi\) |
0.506367 | + | 0.862318i | \(0.330988\pi\) | |||||||
\(242\) | 24.9854 | 1.60612 | ||||||||
\(243\) | −8.19166 | + | 14.1884i | −0.525496 | + | 0.910185i | ||||
\(244\) | −7.77931 | + | 13.4742i | −0.498019 | + | 0.862595i | ||||
\(245\) | 8.76275 | − | 15.1775i | 0.559831 | − | 0.969656i | ||||
\(246\) | −13.6767 | − | 23.6888i | −0.871997 | − | 1.51034i | ||||
\(247\) | 14.4664 | 0.920474 | ||||||||
\(248\) | 10.5214 | + | 18.2236i | 0.668108 | + | 1.15720i | ||||
\(249\) | −15.7605 | + | 27.2980i | −0.998783 | + | 1.72994i | ||||
\(250\) | −8.11593 | −0.513297 | ||||||||
\(251\) | 8.69612 | − | 15.0621i | 0.548895 | − | 0.950713i | −0.449456 | − | 0.893302i | \(-0.648382\pi\) |
0.998351 | − | 0.0574108i | \(-0.0182845\pi\) | |||||||
\(252\) | 29.1550 | + | 50.4980i | 1.83659 | + | 3.18107i | ||||
\(253\) | 1.65827 | + | 2.87221i | 0.104254 | + | 0.180574i | ||||
\(254\) | −38.2371 | −2.39921 | ||||||||
\(255\) | 4.13948 | + | 7.16978i | 0.259224 | + | 0.448989i | ||||
\(256\) | −20.7500 | −1.29687 | ||||||||
\(257\) | 4.79336 | 0.299002 | 0.149501 | − | 0.988762i | \(-0.452233\pi\) | ||||
0.149501 | + | 0.988762i | \(0.452233\pi\) | |||||||
\(258\) | −20.3196 | + | 37.3166i | −1.26504 | + | 2.32323i | ||||
\(259\) | 27.5824 | 1.71389 | ||||||||
\(260\) | 29.1282 | 1.80645 | ||||||||
\(261\) | −10.6602 | − | 18.4639i | −0.659847 | − | 1.14289i | ||||
\(262\) | 27.0213 | 1.66938 | ||||||||
\(263\) | 1.15106 | + | 1.99370i | 0.0709776 | + | 0.122937i | 0.899330 | − | 0.437271i | \(-0.144055\pi\) |
−0.828352 | + | 0.560207i | \(0.810721\pi\) | |||||||
\(264\) | −2.29536 | − | 3.97567i | −0.141269 | − | 0.244686i | ||||
\(265\) | 8.14747 | − | 14.1118i | 0.500495 | − | 0.866883i | ||||
\(266\) | −41.9627 | −2.57290 | ||||||||
\(267\) | −11.5548 | + | 20.0134i | −0.707140 | + | 1.22480i | ||||
\(268\) | 3.21318 | + | 5.56539i | 0.196276 | + | 0.339960i | ||||
\(269\) | 6.49631 | 0.396087 | 0.198044 | − | 0.980193i | \(-0.436541\pi\) | ||||
0.198044 | + | 0.980193i | \(0.436541\pi\) | |||||||
\(270\) | 17.0038 | + | 29.4515i | 1.03482 | + | 1.79236i | ||||
\(271\) | 5.26818 | − | 9.12476i | 0.320019 | − | 0.554289i | −0.660472 | − | 0.750850i | \(-0.729644\pi\) |
0.980492 | + | 0.196561i | \(0.0629773\pi\) | |||||||
\(272\) | 0.394299 | − | 0.682946i | 0.0239079 | − | 0.0414097i | ||||
\(273\) | 14.4076 | − | 24.9548i | 0.871991 | − | 1.51033i | ||||
\(274\) | 11.9050 | 0.719207 | ||||||||
\(275\) | −0.963728 | + | 1.66923i | −0.0581150 | + | 0.100658i | ||||
\(276\) | −31.2361 | + | 54.1025i | −1.88019 | + | 3.25659i | ||||
\(277\) | 13.4475 | + | 23.2917i | 0.807980 | + | 1.39946i | 0.914261 | + | 0.405126i | \(0.132772\pi\) |
−0.106281 | + | 0.994336i | \(0.533894\pi\) | |||||||
\(278\) | 25.7781 | + | 44.6490i | 1.54607 | + | 2.67787i | ||||
\(279\) | 30.6842 | 1.83702 | ||||||||
\(280\) | −34.8778 | −2.08435 | ||||||||
\(281\) | 2.97549 | + | 5.15370i | 0.177503 | + | 0.307444i | 0.941025 | − | 0.338338i | \(-0.109865\pi\) |
−0.763522 | + | 0.645782i | \(0.776531\pi\) | |||||||
\(282\) | 30.8217 | + | 53.3847i | 1.83540 | + | 3.17901i | ||||
\(283\) | 9.49026 | − | 16.4376i | 0.564138 | − | 0.977115i | −0.432992 | − | 0.901398i | \(-0.642542\pi\) |
0.997129 | − | 0.0757170i | \(-0.0241246\pi\) | |||||||
\(284\) | 21.7152 | − | 37.6118i | 1.28856 | − | 2.23185i | ||||
\(285\) | −41.6022 | −2.46430 | ||||||||
\(286\) | −1.68648 | + | 2.92106i | −0.0997234 | + | 0.172726i | ||||
\(287\) | 7.58078 | − | 13.1303i | 0.447479 | − | 0.775057i | ||||
\(288\) | −11.2121 | + | 19.4199i | −0.660678 | + | 1.14433i | ||||
\(289\) | −0.500000 | − | 0.866025i | −0.0294118 | − | 0.0509427i | ||||
\(290\) | 30.8935 | 1.81413 | ||||||||
\(291\) | −14.2691 | − | 24.7148i | −0.836469 | − | 1.44881i | ||||
\(292\) | 5.93951 | − | 10.2875i | 0.347584 | − | 0.602032i | ||||
\(293\) | −4.11101 | −0.240168 | −0.120084 | − | 0.992764i | \(-0.538316\pi\) | ||||
−0.120084 | + | 0.992764i | \(0.538316\pi\) | |||||||
\(294\) | −19.1134 | + | 33.1054i | −1.11472 | + | 1.93075i | ||||
\(295\) | −3.57774 | − | 6.19683i | −0.208304 | − | 0.360793i | ||||
\(296\) | −12.5523 | − | 21.7412i | −0.729587 | − | 1.26368i | ||||
\(297\) | −2.48107 | −0.143967 | ||||||||
\(298\) | 19.9616 | + | 34.5746i | 1.15635 | + | 2.00285i | ||||
\(299\) | 18.9473 | 1.09575 | ||||||||
\(300\) | −36.3066 | −2.09616 | ||||||||
\(301\) | −23.5442 | + | 0.588121i | −1.35707 | + | 0.0338988i | ||||
\(302\) | 4.28449 | 0.246545 | ||||||||
\(303\) | 36.8980 | 2.11974 | ||||||||
\(304\) | 1.98138 | + | 3.43185i | 0.113640 | + | 0.196830i | ||||
\(305\) | −13.5703 | −0.777034 | ||||||||
\(306\) | −5.54147 | − | 9.59811i | −0.316785 | − | 0.548687i | ||||
\(307\) | 7.22796 | + | 12.5192i | 0.412521 | + | 0.714508i | 0.995165 | − | 0.0982201i | \(-0.0313149\pi\) |
−0.582643 | + | 0.812728i | \(0.697982\pi\) | |||||||
\(308\) | 3.08212 | − | 5.33839i | 0.175620 | − | 0.304183i | ||||
\(309\) | −39.9789 | −2.27432 | ||||||||
\(310\) | −22.2310 | + | 38.5052i | −1.26264 | + | 2.18695i | ||||
\(311\) | 5.40542 | + | 9.36246i | 0.306513 | + | 0.530896i | 0.977597 | − | 0.210485i | \(-0.0675044\pi\) |
−0.671084 | + | 0.741381i | \(0.734171\pi\) | |||||||
\(312\) | −26.2267 | −1.48479 | ||||||||
\(313\) | 13.4845 | + | 23.3558i | 0.762187 | + | 1.32015i | 0.941721 | + | 0.336395i | \(0.109208\pi\) |
−0.179534 | + | 0.983752i | \(0.557459\pi\) | |||||||
\(314\) | −7.44385 | + | 12.8931i | −0.420081 | + | 0.727601i | ||||
\(315\) | −25.4291 | + | 44.0446i | −1.43277 | + | 2.48163i | ||||
\(316\) | 7.92697 | − | 13.7299i | 0.445927 | − | 0.772368i | ||||
\(317\) | −19.2227 | −1.07965 | −0.539826 | − | 0.841777i | \(-0.681510\pi\) | ||||
−0.539826 | + | 0.841777i | \(0.681510\pi\) | |||||||
\(318\) | −17.7714 | + | 30.7809i | −0.996568 | + | 1.72611i | ||||
\(319\) | −1.12694 | + | 1.95192i | −0.0630965 | + | 0.109286i | ||||
\(320\) | −18.5892 | − | 32.1974i | −1.03917 | − | 1.79989i | ||||
\(321\) | −16.7619 | − | 29.0325i | −0.935558 | − | 1.62043i | ||||
\(322\) | −54.9606 | −3.06283 | ||||||||
\(323\) | 5.02506 | 0.279602 | ||||||||
\(324\) | 0.985335 | + | 1.70665i | 0.0547408 | + | 0.0948139i | ||||
\(325\) | 5.50576 | + | 9.53626i | 0.305405 | + | 0.528977i | ||||
\(326\) | −24.4659 | + | 42.3762i | −1.35504 | + | 2.34700i | ||||
\(327\) | 17.8878 | − | 30.9825i | 0.989196 | − | 1.71334i | ||||
\(328\) | −13.7995 | −0.761951 | ||||||||
\(329\) | −17.0839 | + | 29.5902i | −0.941867 | + | 1.63136i | ||||
\(330\) | 4.84995 | − | 8.40035i | 0.266981 | − | 0.462424i | ||||
\(331\) | 15.9850 | − | 27.6868i | 0.878613 | − | 1.52180i | 0.0257503 | − | 0.999668i | \(-0.491803\pi\) |
0.852863 | − | 0.522135i | \(-0.174864\pi\) | |||||||
\(332\) | 19.2615 | + | 33.3619i | 1.05711 | + | 1.83097i | ||||
\(333\) | −36.6071 | −2.00606 | ||||||||
\(334\) | −10.8124 | − | 18.7277i | −0.591629 | − | 1.02473i | ||||
\(335\) | −2.80255 | + | 4.85416i | −0.153120 | + | 0.265211i | ||||
\(336\) | 7.89334 | 0.430617 | ||||||||
\(337\) | 13.6496 | − | 23.6418i | 0.743541 | − | 1.28785i | −0.207333 | − | 0.978270i | \(-0.566478\pi\) |
0.950874 | − | 0.309580i | \(-0.100188\pi\) | |||||||
\(338\) | −5.47815 | − | 9.48843i | −0.297972 | − | 0.516102i | ||||
\(339\) | −6.72482 | − | 11.6477i | −0.365242 | − | 0.632618i | ||||
\(340\) | 10.1180 | 0.548726 | ||||||||
\(341\) | −1.62189 | − | 2.80920i | −0.0878303 | − | 0.152127i | ||||
\(342\) | 55.6924 | 3.01150 | ||||||||
\(343\) | 3.95263 | 0.213422 | ||||||||
\(344\) | 11.1781 | + | 18.2905i | 0.602685 | + | 0.986160i | ||||
\(345\) | −54.4885 | −2.93356 | ||||||||
\(346\) | −25.6714 | −1.38011 | ||||||||
\(347\) | −2.25420 | − | 3.90439i | −0.121012 | − | 0.209599i | 0.799155 | − | 0.601125i | \(-0.205281\pi\) |
−0.920167 | + | 0.391526i | \(0.871947\pi\) | |||||||
\(348\) | −42.4553 | −2.27584 | ||||||||
\(349\) | 0.902306 | + | 1.56284i | 0.0482993 | + | 0.0836569i | 0.889164 | − | 0.457588i | \(-0.151287\pi\) |
−0.840865 | + | 0.541245i | \(0.817953\pi\) | |||||||
\(350\) | −15.9706 | − | 27.6619i | −0.853664 | − | 1.47859i | ||||
\(351\) | −7.08717 | + | 12.2753i | −0.378285 | + | 0.655209i | ||||
\(352\) | 2.37057 | 0.126352 | ||||||||
\(353\) | −15.8692 | + | 27.4862i | −0.844631 | + | 1.46294i | 0.0413108 | + | 0.999146i | \(0.486847\pi\) |
−0.885942 | + | 0.463797i | \(0.846487\pi\) | |||||||
\(354\) | 7.80381 | + | 13.5166i | 0.414768 | + | 0.718399i | ||||
\(355\) | 37.8801 | 2.01047 | ||||||||
\(356\) | 14.1215 | + | 24.4591i | 0.748438 | + | 1.29633i | ||||
\(357\) | 5.00466 | − | 8.66833i | 0.264875 | − | 0.458776i | ||||
\(358\) | −1.10577 | + | 1.91525i | −0.0584419 | + | 0.101224i | ||||
\(359\) | 15.5614 | − | 26.9532i | 0.821301 | − | 1.42253i | −0.0834133 | − | 0.996515i | \(-0.526582\pi\) |
0.904714 | − | 0.426019i | \(-0.140085\pi\) | |||||||
\(360\) | 46.2894 | 2.43967 | ||||||||
\(361\) | −3.12562 | + | 5.41373i | −0.164506 | + | 0.284933i | ||||
\(362\) | −26.1081 | + | 45.2205i | −1.37221 | + | 2.37674i | ||||
\(363\) | −14.9740 | − | 25.9358i | −0.785932 | − | 1.36127i | ||||
\(364\) | −17.6081 | − | 30.4982i | −0.922916 | − | 1.59854i | ||||
\(365\) | 10.3609 | 0.542316 | ||||||||
\(366\) | 29.5997 | 1.54720 | ||||||||
\(367\) | 12.9247 | + | 22.3863i | 0.674664 | + | 1.16855i | 0.976567 | + | 0.215214i | \(0.0690449\pi\) |
−0.301903 | + | 0.953339i | \(0.597622\pi\) | |||||||
\(368\) | 2.59511 | + | 4.49486i | 0.135279 | + | 0.234311i | ||||
\(369\) | −10.0611 | + | 17.4264i | −0.523762 | + | 0.907182i | ||||
\(370\) | 26.5222 | − | 45.9378i | 1.37882 | − | 2.38819i | ||||
\(371\) | −19.7007 | −1.02281 | ||||||||
\(372\) | 30.5508 | − | 52.9156i | 1.58399 | − | 2.74355i | ||||
\(373\) | 11.7173 | − | 20.2950i | 0.606701 | − | 1.05084i | −0.385079 | − | 0.922884i | \(-0.625826\pi\) |
0.991780 | − | 0.127954i | \(-0.0408409\pi\) | |||||||
\(374\) | −0.585816 | + | 1.01466i | −0.0302918 | + | 0.0524670i | ||||
\(375\) | 4.86397 | + | 8.42465i | 0.251174 | + | 0.435047i | ||||
\(376\) | 31.0984 | 1.60378 | ||||||||
\(377\) | 6.43819 | + | 11.1513i | 0.331583 | + | 0.574319i | ||||
\(378\) | 20.5578 | − | 35.6071i | 1.05738 | − | 1.83143i | ||||
\(379\) | 15.0200 | 0.771525 | 0.385762 | − | 0.922598i | \(-0.373938\pi\) | ||||
0.385762 | + | 0.922598i | \(0.373938\pi\) | |||||||
\(380\) | −25.4218 | + | 44.0319i | −1.30411 | + | 2.25879i | ||||
\(381\) | 22.9159 | + | 39.6915i | 1.17402 | + | 2.03346i | ||||
\(382\) | 23.1914 | + | 40.1687i | 1.18657 | + | 2.05521i | ||||
\(383\) | −13.4675 | −0.688155 | −0.344078 | − | 0.938941i | \(-0.611808\pi\) | ||||
−0.344078 | + | 0.938941i | \(0.611808\pi\) | |||||||
\(384\) | 27.4365 | + | 47.5215i | 1.40012 | + | 2.42507i | ||||
\(385\) | 5.37648 | 0.274011 | ||||||||
\(386\) | 35.0301 | 1.78299 | ||||||||
\(387\) | 31.2477 | − | 0.780548i | 1.58841 | − | 0.0396775i | ||||
\(388\) | −34.8776 | −1.77064 | ||||||||
\(389\) | −33.1441 | −1.68047 | −0.840236 | − | 0.542221i | \(-0.817583\pi\) | ||||
−0.840236 | + | 0.542221i | \(0.817583\pi\) | |||||||
\(390\) | −27.7077 | − | 47.9911i | −1.40303 | − | 2.43012i | ||||
\(391\) | 6.58157 | 0.332844 | ||||||||
\(392\) | 9.64250 | + | 16.7013i | 0.487020 | + | 0.843543i | ||||
\(393\) | −16.1942 | − | 28.0491i | −0.816888 | − | 1.41489i | ||||
\(394\) | 25.2832 | − | 43.7918i | 1.27375 | − | 2.20620i | ||||
\(395\) | 13.8279 | 0.695756 | ||||||||
\(396\) | −4.09056 | + | 7.08506i | −0.205558 | + | 0.356037i | ||||
\(397\) | −6.22428 | − | 10.7808i | −0.312388 | − | 0.541071i | 0.666491 | − | 0.745513i | \(-0.267795\pi\) |
−0.978879 | + | 0.204442i | \(0.934462\pi\) | |||||||
\(398\) | −41.4533 | −2.07787 | ||||||||
\(399\) | 25.1487 | + | 43.5589i | 1.25901 | + | 2.18067i | ||||
\(400\) | −1.50819 | + | 2.61226i | −0.0754093 | + | 0.130613i | ||||
\(401\) | −7.18772 | + | 12.4495i | −0.358938 | + | 0.621699i | −0.987784 | − | 0.155831i | \(-0.950194\pi\) |
0.628846 | + | 0.777530i | \(0.283528\pi\) | |||||||
\(402\) | 6.11295 | − | 10.5879i | 0.304886 | − | 0.528079i | ||||
\(403\) | −18.5317 | −0.923129 | ||||||||
\(404\) | 22.5472 | − | 39.0529i | 1.12177 | − | 1.94296i | ||||
\(405\) | −0.859414 | + | 1.48855i | −0.0427046 | + | 0.0739666i | ||||
\(406\) | −18.6753 | − | 32.3465i | −0.926838 | − | 1.60533i | ||||
\(407\) | 1.93496 | + | 3.35145i | 0.0959124 | + | 0.166125i | ||||
\(408\) | −9.11013 | −0.451019 | ||||||||
\(409\) | 12.2907 | 0.607738 | 0.303869 | − | 0.952714i | \(-0.401722\pi\) | ||||
0.303869 | + | 0.952714i | \(0.401722\pi\) | |||||||
\(410\) | −14.5788 | − | 25.2512i | −0.719994 | − | 1.24707i | ||||
\(411\) | −7.13480 | − | 12.3578i | −0.351934 | − | 0.609567i | ||||
\(412\) | −24.4298 | + | 42.3137i | −1.20357 | + | 2.08465i | ||||
\(413\) | −4.32552 | + | 7.49201i | −0.212845 | + | 0.368658i | ||||
\(414\) | 72.9431 | 3.58496 | ||||||||
\(415\) | −16.8000 | + | 29.0984i | −0.824679 | + | 1.42839i | ||||
\(416\) | 6.77151 | − | 11.7286i | 0.332001 | − | 0.575042i | ||||
\(417\) | 30.8983 | − | 53.5173i | 1.51309 | − | 2.62076i | ||||
\(418\) | −2.94376 | − | 5.09875i | −0.143984 | − | 0.249388i | ||||
\(419\) | −10.2081 | −0.498696 | −0.249348 | − | 0.968414i | \(-0.580216\pi\) | ||||
−0.249348 | + | 0.968414i | \(0.580216\pi\) | |||||||
\(420\) | 50.6372 | + | 87.7062i | 2.47084 | + | 4.27963i | ||||
\(421\) | −5.73239 | + | 9.92879i | −0.279380 | + | 0.483900i | −0.971231 | − | 0.238141i | \(-0.923462\pi\) |
0.691851 | + | 0.722040i | \(0.256795\pi\) | |||||||
\(422\) | 31.6423 | 1.54032 | ||||||||
\(423\) | 22.6736 | − | 39.2718i | 1.10243 | − | 1.90946i | ||||
\(424\) | 8.96545 | + | 15.5286i | 0.435401 | + | 0.754136i | ||||
\(425\) | 1.91249 | + | 3.31253i | 0.0927694 | + | 0.160681i | ||||
\(426\) | −82.6246 | −4.00317 | ||||||||
\(427\) | 8.20330 | + | 14.2085i | 0.396986 | + | 0.687599i | ||||
\(428\) | −40.9707 | −1.98039 | ||||||||
\(429\) | 4.04290 | 0.195193 | ||||||||
\(430\) | −21.6597 | + | 39.7778i | −1.04452 | + | 1.91826i | ||||
\(431\) | 12.6265 | 0.608196 | 0.304098 | − | 0.952641i | \(-0.401645\pi\) | ||||
0.304098 | + | 0.952641i | \(0.401645\pi\) | |||||||
\(432\) | −3.88276 | −0.186809 | ||||||||
\(433\) | −4.74544 | − | 8.21934i | −0.228051 | − | 0.394996i | 0.729179 | − | 0.684323i | \(-0.239902\pi\) |
−0.957230 | + | 0.289326i | \(0.906569\pi\) | |||||||
\(434\) | 53.7549 | 2.58032 | ||||||||
\(435\) | −18.5149 | − | 32.0687i | −0.887719 | − | 1.53758i | ||||
\(436\) | −21.8613 | − | 37.8649i | −1.04697 | − | 1.81340i | ||||
\(437\) | −16.5364 | + | 28.6419i | −0.791043 | + | 1.37013i | ||||
\(438\) | −22.5994 | −1.07984 | ||||||||
\(439\) | 7.16534 | − | 12.4107i | 0.341983 | − | 0.592332i | −0.642818 | − | 0.766019i | \(-0.722235\pi\) |
0.984801 | + | 0.173687i | \(0.0555681\pi\) | |||||||
\(440\) | −2.44674 | − | 4.23788i | −0.116644 | − | 0.202033i | ||||
\(441\) | 28.1211 | 1.33910 | ||||||||
\(442\) | 3.34676 | + | 5.79676i | 0.159189 | + | 0.275724i | ||||
\(443\) | −0.108587 | + | 0.188078i | −0.00515913 | + | 0.00893587i | −0.868593 | − | 0.495525i | \(-0.834976\pi\) |
0.863434 | + | 0.504461i | \(0.168309\pi\) | |||||||
\(444\) | −36.4480 | + | 63.1298i | −1.72974 | + | 2.99601i | ||||
\(445\) | −12.3168 | + | 21.3334i | −0.583874 | + | 1.01130i | ||||
\(446\) | −13.7165 | −0.649495 | ||||||||
\(447\) | 23.9265 | − | 41.4419i | 1.13168 | − | 1.96013i | ||||
\(448\) | −22.4745 | + | 38.9269i | −1.06182 | + | 1.83912i | ||||
\(449\) | −20.0777 | − | 34.7756i | −0.947526 | − | 1.64116i | −0.750613 | − | 0.660742i | \(-0.770242\pi\) |
−0.196913 | − | 0.980421i | \(-0.563092\pi\) | |||||||
\(450\) | 21.1960 | + | 36.7126i | 0.999189 | + | 1.73065i | ||||
\(451\) | 2.12722 | 0.100167 | ||||||||
\(452\) | −16.4373 | −0.773145 | ||||||||
\(453\) | −2.56774 | − | 4.44746i | −0.120643 | − | 0.208960i | ||||
\(454\) | 19.0817 | + | 33.0504i | 0.895548 | + | 1.55113i | ||||
\(455\) | 15.3579 | − | 26.6006i | 0.719989 | − | 1.24706i | ||||
\(456\) | 22.8895 | − | 39.6458i | 1.07190 | − | 1.85658i | ||||
\(457\) | 20.9761 | 0.981222 | 0.490611 | − | 0.871379i | \(-0.336774\pi\) | ||||
0.490611 | + | 0.871379i | \(0.336774\pi\) | |||||||
\(458\) | 2.47128 | − | 4.28038i | 0.115475 | − | 0.200009i | ||||
\(459\) | −2.46181 | + | 4.26398i | −0.114907 | + | 0.199025i | ||||
\(460\) | −33.2962 | + | 57.6707i | −1.55244 | + | 2.68891i | ||||
\(461\) | 3.26361 | + | 5.65274i | 0.152002 | + | 0.263274i | 0.931963 | − | 0.362553i | \(-0.118095\pi\) |
−0.779962 | + | 0.625827i | \(0.784761\pi\) | |||||||
\(462\) | −11.7272 | −0.545601 | ||||||||
\(463\) | 6.92572 | + | 11.9957i | 0.321865 | + | 0.557487i | 0.980873 | − | 0.194649i | \(-0.0623568\pi\) |
−0.659008 | + | 0.752136i | \(0.729023\pi\) | |||||||
\(464\) | −1.76360 | + | 3.05465i | −0.0818732 | + | 0.141809i | ||||
\(465\) | 53.2932 | 2.47141 | ||||||||
\(466\) | 3.57852 | − | 6.19818i | 0.165772 | − | 0.287125i | ||||
\(467\) | 1.81086 | + | 3.13651i | 0.0837968 | + | 0.145140i | 0.904878 | − | 0.425671i | \(-0.139962\pi\) |
−0.821081 | + | 0.570812i | \(0.806629\pi\) | |||||||
\(468\) | 23.3693 | + | 40.4768i | 1.08025 | + | 1.87104i | ||||
\(469\) | 6.77661 | 0.312915 | ||||||||
\(470\) | 32.8545 | + | 56.9056i | 1.51546 | + | 2.62486i | ||||
\(471\) | 17.8447 | 0.822242 | ||||||||
\(472\) | 7.87387 | 0.362424 | ||||||||
\(473\) | −1.72313 | − | 2.81952i | −0.0792298 | − | 0.129642i | ||||
\(474\) | −30.1615 | −1.38536 | ||||||||
\(475\) | −19.2208 | −0.881909 | ||||||||
\(476\) | −6.11638 | − | 10.5939i | −0.280344 | − | 0.485570i | ||||
\(477\) | 26.1466 | 1.19717 | ||||||||
\(478\) | −33.9074 | − | 58.7294i | −1.55089 | − | 2.68622i | ||||
\(479\) | −8.02385 | − | 13.8977i | −0.366619 | − | 0.635003i | 0.622416 | − | 0.782687i | \(-0.286151\pi\) |
−0.989035 | + | 0.147684i | \(0.952818\pi\) | |||||||
\(480\) | −19.4734 | + | 33.7290i | −0.888836 | + | 1.53951i | ||||
\(481\) | 22.1088 | 1.00807 | ||||||||
\(482\) | 17.8166 | − | 30.8593i | 0.811524 | − | 1.40560i | ||||
\(483\) | 32.9385 | + | 57.0512i | 1.49875 | + | 2.59592i | ||||
\(484\) | −36.6006 | −1.66366 | ||||||||
\(485\) | −15.2102 | − | 26.3448i | −0.690659 | − | 1.19626i | ||||
\(486\) | 19.0462 | − | 32.9890i | 0.863953 | − | 1.49641i | ||||
\(487\) | 0.348282 | − | 0.603242i | 0.0157822 | − | 0.0273355i | −0.858026 | − | 0.513605i | \(-0.828310\pi\) |
0.873809 | + | 0.486270i | \(0.161643\pi\) | |||||||
\(488\) | 7.46636 | − | 12.9321i | 0.337986 | − | 0.585409i | ||||
\(489\) | 58.6507 | 2.65228 | ||||||||
\(490\) | −20.3740 | + | 35.2888i | −0.920403 | + | 1.59419i | ||||
\(491\) | 17.9222 | − | 31.0422i | 0.808819 | − | 1.40092i | −0.104863 | − | 0.994487i | \(-0.533441\pi\) |
0.913682 | − | 0.406429i | \(-0.133226\pi\) | |||||||
\(492\) | 20.0348 | + | 34.7013i | 0.903238 | + | 1.56445i | ||||
\(493\) | 2.23638 | + | 3.87352i | 0.100721 | + | 0.174454i | ||||
\(494\) | −33.6353 | −1.51333 | ||||||||
\(495\) | −7.13561 | −0.320722 | ||||||||
\(496\) | −2.53818 | − | 4.39625i | −0.113968 | − | 0.197398i | ||||
\(497\) | −22.8987 | − | 39.6617i | −1.02715 | − | 1.77907i | ||||
\(498\) | 36.6443 | − | 63.4698i | 1.64207 | − | 2.84415i | ||||
\(499\) | 0.985814 | − | 1.70748i | 0.0441311 | − | 0.0764373i | −0.843116 | − | 0.537732i | \(-0.819281\pi\) |
0.887247 | + | 0.461294i | \(0.152615\pi\) | |||||||
\(500\) | 11.8889 | 0.531687 | ||||||||
\(501\) | −12.9600 | + | 22.4474i | −0.579011 | + | 1.00288i | ||||
\(502\) | −20.2191 | + | 35.0205i | −0.902423 | + | 1.56304i | ||||
\(503\) | −5.79508 | + | 10.0374i | −0.258390 | + | 0.447544i | −0.965811 | − | 0.259248i | \(-0.916525\pi\) |
0.707421 | + | 0.706792i | \(0.249859\pi\) | |||||||
\(504\) | −27.9821 | − | 48.4665i | −1.24642 | − | 2.15887i | ||||
\(505\) | 39.3316 | 1.75023 | ||||||||
\(506\) | −3.85559 | − | 6.67808i | −0.171402 | − | 0.296877i | ||||
\(507\) | −6.56623 | + | 11.3730i | −0.291617 | + | 0.505095i | ||||
\(508\) | 56.0128 | 2.48516 | ||||||||
\(509\) | −20.1338 | + | 34.8727i | −0.892414 | + | 1.54571i | −0.0554402 | + | 0.998462i | \(0.517656\pi\) |
−0.836973 | + | 0.547244i | \(0.815677\pi\) | |||||||
\(510\) | −9.62457 | − | 16.6702i | −0.426183 | − | 0.738171i | ||||
\(511\) | −6.26323 | − | 10.8482i | −0.277069 | − | 0.479897i | ||||
\(512\) | 8.86557 | 0.391807 | ||||||||
\(513\) | −12.3707 | − | 21.4267i | −0.546181 | − | 0.946014i | ||||
\(514\) | −11.1449 | −0.491581 | ||||||||
\(515\) | −42.6156 | −1.87787 | ||||||||
\(516\) | 29.7658 | − | 54.6644i | 1.31036 | − | 2.40647i | ||||
\(517\) | −4.79388 | −0.210835 | ||||||||
\(518\) | −64.1311 | −2.81776 | ||||||||
\(519\) | 15.3852 | + | 26.6479i | 0.675335 | + | 1.16971i | ||||
\(520\) | −27.9564 | −1.22597 | ||||||||
\(521\) | −20.6123 | − | 35.7015i | −0.903041 | − | 1.56411i | −0.823526 | − | 0.567279i | \(-0.807996\pi\) |
−0.0795149 | − | 0.996834i | \(-0.525337\pi\) | |||||||
\(522\) | 24.7856 | + | 42.9300i | 1.08484 | + | 1.87899i | ||||
\(523\) | 15.2683 | − | 26.4454i | 0.667635 | − | 1.15638i | −0.310929 | − | 0.950433i | \(-0.600640\pi\) |
0.978564 | − | 0.205944i | \(-0.0660265\pi\) | |||||||
\(524\) | −39.5830 | −1.72919 | ||||||||
\(525\) | −19.1427 | + | 33.1562i | −0.835457 | + | 1.44705i | ||||
\(526\) | −2.67630 | − | 4.63550i | −0.116692 | − | 0.202117i | ||||
\(527\) | −6.43719 | −0.280408 | ||||||||
\(528\) | 0.553733 | + | 0.959093i | 0.0240981 | + | 0.0417392i | ||||
\(529\) | −10.1585 | + | 17.5951i | −0.441675 | + | 0.765003i | ||||
\(530\) | −18.9434 | + | 32.8110i | −0.822850 | + | 1.42522i | ||||
\(531\) | 5.74078 | − | 9.94332i | 0.249129 | − | 0.431503i | ||||
\(532\) | 61.4703 | 2.66508 | ||||||||
\(533\) | 6.07640 | − | 10.5246i | 0.263198 | − | 0.455873i | ||||
\(534\) | 26.8656 | − | 46.5326i | 1.16259 | − | 2.01366i | ||||
\(535\) | −17.8674 | − | 30.9473i | −0.772476 | − | 1.33797i | ||||
\(536\) | −3.08392 | − | 5.34150i | −0.133205 | − | 0.230718i | ||||
\(537\) | 2.65081 | 0.114391 | ||||||||
\(538\) | −15.1044 | −0.651196 | ||||||||
\(539\) | −1.48641 | − | 2.57454i | −0.0640242 | − | 0.110893i | ||||
\(540\) | −24.9086 | − | 43.1430i | −1.07190 | − | 1.85658i | ||||
\(541\) | −19.0950 | + | 33.0735i | −0.820957 | + | 1.42194i | 0.0840131 | + | 0.996465i | \(0.473226\pi\) |
−0.904970 | + | 0.425475i | \(0.860107\pi\) | |||||||
\(542\) | −12.2489 | + | 21.2157i | −0.526135 | + | 0.911292i | ||||
\(543\) | 62.5874 | 2.68588 | ||||||||
\(544\) | 2.35216 | − | 4.07406i | 0.100848 | − | 0.174674i | ||||
\(545\) | 19.0675 | − | 33.0259i | 0.816763 | − | 1.41468i | ||||
\(546\) | −33.4988 | + | 58.0216i | −1.43362 | + | 2.48310i | ||||
\(547\) | −19.3109 | − | 33.4474i | −0.825674 | − | 1.43011i | −0.901403 | − | 0.432981i | \(-0.857462\pi\) |
0.0757291 | − | 0.997128i | \(-0.475872\pi\) | |||||||
\(548\) | −17.4394 | −0.744974 | ||||||||
\(549\) | −10.8873 | − | 18.8574i | −0.464660 | − | 0.804815i | ||||
\(550\) | 2.24074 | − | 3.88107i | 0.0955453 | − | 0.165489i | ||||
\(551\) | −22.4759 | −0.957504 | ||||||||
\(552\) | 29.9795 | − | 51.9260i | 1.27601 | − | 2.21012i | ||||
\(553\) | −8.35901 | − | 14.4782i | −0.355461 | − | 0.615677i | ||||
\(554\) | −31.2663 | − | 54.1548i | −1.32838 | − | 2.30082i | ||||
\(555\) | −63.5802 | −2.69883 | ||||||||
\(556\) | −37.7619 | − | 65.4055i | −1.60146 | − | 2.77381i | ||||
\(557\) | 23.3874 | 0.990956 | 0.495478 | − | 0.868621i | \(-0.334993\pi\) | ||||
0.495478 | + | 0.868621i | \(0.334993\pi\) | |||||||
\(558\) | −71.3430 | −3.02019 | ||||||||
\(559\) | −18.8720 | + | 0.471411i | −0.798199 | + | 0.0199386i | ||||
\(560\) | 8.41393 | 0.355553 | ||||||||
\(561\) | 1.40435 | 0.0592915 | ||||||||
\(562\) | −6.91822 | − | 11.9827i | −0.291827 | − | 0.505460i | ||||
\(563\) | 1.78677 | 0.0753032 | 0.0376516 | − | 0.999291i | \(-0.488012\pi\) | ||||
0.0376516 | + | 0.999291i | \(0.488012\pi\) | |||||||
\(564\) | −45.1501 | − | 78.2022i | −1.90116 | − | 3.29291i | ||||
\(565\) | −7.16834 | − | 12.4159i | −0.301574 | − | 0.522342i | ||||
\(566\) | −22.0655 | + | 38.2186i | −0.927483 | + | 1.60645i | ||||
\(567\) | 2.07808 | 0.0872710 | ||||||||
\(568\) | −20.8416 | + | 36.0987i | −0.874494 | + | 1.51467i | ||||
\(569\) | 15.8375 | + | 27.4314i | 0.663944 | + | 1.14998i | 0.979571 | + | 0.201101i | \(0.0644518\pi\) |
−0.315627 | + | 0.948883i | \(0.602215\pi\) | |||||||
\(570\) | 96.7281 | 4.05150 | ||||||||
\(571\) | 1.82524 | + | 3.16141i | 0.0763838 | + | 0.132301i | 0.901687 | − | 0.432389i | \(-0.142329\pi\) |
−0.825303 | + | 0.564690i | \(0.808996\pi\) | |||||||
\(572\) | 2.47049 | − | 4.27901i | 0.103296 | − | 0.178914i | ||||
\(573\) | 27.7977 | − | 48.1471i | 1.16127 | − | 2.01137i | ||||
\(574\) | −17.6258 | + | 30.5289i | −0.735689 | + | 1.27425i | ||||
\(575\) | −25.1744 | −1.04984 | ||||||||
\(576\) | 29.8279 | − | 51.6634i | 1.24283 | − | 2.15264i | ||||
\(577\) | −8.86014 | + | 15.3462i | −0.368852 | + | 0.638871i | −0.989386 | − | 0.145308i | \(-0.953583\pi\) |
0.620534 | + | 0.784180i | \(0.286916\pi\) | |||||||
\(578\) | 1.16254 | + | 2.01357i | 0.0483551 | + | 0.0837535i | ||||
\(579\) | −20.9939 | − | 36.3626i | −0.872479 | − | 1.51118i | ||||
\(580\) | −45.2554 | −1.87913 | ||||||||
\(581\) | 40.6226 | 1.68531 | ||||||||
\(582\) | 33.1767 | + | 57.4636i | 1.37522 | + | 2.38194i | ||||
\(583\) | −1.38204 | − | 2.39377i | −0.0572384 | − | 0.0991397i | ||||
\(584\) | −5.70057 | + | 9.87368i | −0.235891 | + | 0.408576i | ||||
\(585\) | −20.3828 | + | 35.3041i | −0.842726 | + | 1.45964i | ||||
\(586\) | 9.55838 | 0.394853 | ||||||||
\(587\) | −9.08044 | + | 15.7278i | −0.374790 | + | 0.649155i | −0.990296 | − | 0.138977i | \(-0.955618\pi\) |
0.615506 | + | 0.788132i | \(0.288952\pi\) | |||||||
\(588\) | 27.9989 | − | 48.4954i | 1.15465 | − | 1.99992i | ||||
\(589\) | 16.1736 | − | 28.0136i | 0.666423 | − | 1.15428i | ||||
\(590\) | 8.31850 | + | 14.4081i | 0.342467 | + | 0.593170i | ||||
\(591\) | −60.6101 | −2.49316 | ||||||||
\(592\) | 3.02812 | + | 5.24485i | 0.124455 | + | 0.215562i | ||||
\(593\) | −8.63919 | + | 14.9635i | −0.354769 | + | 0.614478i | −0.987078 | − | 0.160238i | \(-0.948774\pi\) |
0.632309 | + | 0.774716i | \(0.282107\pi\) | |||||||
\(594\) | 5.76867 | 0.236691 | ||||||||
\(595\) | 5.33474 | − | 9.24003i | 0.218703 | − | 0.378804i | ||||
\(596\) | −29.2414 | − | 50.6476i | −1.19778 | − | 2.07461i | ||||
\(597\) | 24.8434 | + | 43.0301i | 1.01677 | + | 1.76110i | ||||
\(598\) | −44.0539 | −1.80150 | ||||||||
\(599\) | −0.129072 | − | 0.223559i | −0.00527373 | − | 0.00913437i | 0.863376 | − | 0.504560i | \(-0.168345\pi\) |
−0.868650 | + | 0.495426i | \(0.835012\pi\) | |||||||
\(600\) | 34.8461 | 1.42258 | ||||||||
\(601\) | −16.1648 | −0.659375 | −0.329687 | − | 0.944090i | \(-0.606943\pi\) | ||||
−0.329687 | + | 0.944090i | \(0.606943\pi\) | |||||||
\(602\) | 54.7420 | − | 1.36742i | 2.23112 | − | 0.0557320i | ||||
\(603\) | −8.99384 | −0.366257 | ||||||||
\(604\) | −6.27627 | −0.255378 | ||||||||
\(605\) | −15.9616 | − | 27.6463i | −0.648932 | − | 1.12398i | ||||
\(606\) | −85.7905 | −3.48500 | ||||||||
\(607\) | −11.6809 | − | 20.2319i | −0.474112 | − | 0.821186i | 0.525449 | − | 0.850825i | \(-0.323897\pi\) |
−0.999561 | + | 0.0296392i | \(0.990564\pi\) | |||||||
\(608\) | 11.8197 | + | 20.4724i | 0.479354 | + | 0.830266i | ||||
\(609\) | −22.3846 | + | 38.7713i | −0.907070 | + | 1.57109i | ||||
\(610\) | 31.5519 | 1.27750 | ||||||||
\(611\) | −13.6937 | + | 23.7181i | −0.553987 | + | 0.959533i | ||||
\(612\) | 8.11759 | + | 14.0601i | 0.328134 | + | 0.568345i | ||||
\(613\) | −21.3899 | −0.863931 | −0.431965 | − | 0.901890i | \(-0.642180\pi\) | ||||
−0.431965 | + | 0.901890i | \(0.642180\pi\) | |||||||
\(614\) | −16.8055 | − | 29.1080i | −0.678215 | − | 1.17470i | ||||
\(615\) | −17.4744 | + | 30.2666i | −0.704638 | + | 1.22047i | ||||
\(616\) | −2.95813 | + | 5.12364i | −0.119187 | + | 0.206437i | ||||
\(617\) | −11.0481 | + | 19.1358i | −0.444779 | + | 0.770380i | −0.998037 | − | 0.0626300i | \(-0.980051\pi\) |
0.553258 | + | 0.833010i | \(0.313385\pi\) | |||||||
\(618\) | 92.9537 | 3.73915 | ||||||||
\(619\) | −9.14363 | + | 15.8372i | −0.367513 | + | 0.636552i | −0.989176 | − | 0.146733i | \(-0.953124\pi\) |
0.621663 | + | 0.783285i | \(0.286457\pi\) | |||||||
\(620\) | 32.5658 | − | 56.4056i | 1.30787 | − | 2.26530i | ||||
\(621\) | −16.2026 | − | 28.0637i | −0.650186 | − | 1.12616i | ||||
\(622\) | −12.5680 | − | 21.7684i | −0.503930 | − | 0.872832i | ||||
\(623\) | 29.7823 | 1.19320 | ||||||||
\(624\) | 6.32693 | 0.253280 | ||||||||
\(625\) | 14.7472 | + | 25.5429i | 0.589889 | + | 1.02172i | ||||
\(626\) | −31.3523 | − | 54.3038i | −1.25309 | − | 2.17042i | ||||
\(627\) | −3.52846 | + | 6.11147i | −0.140913 | + | 0.244069i | ||||
\(628\) | 10.9044 | − | 18.8869i | 0.435131 | − | 0.753669i | ||||
\(629\) | 7.67974 | 0.306211 | ||||||||
\(630\) | 59.1245 | − | 102.407i | 2.35558 | − | 4.07998i | ||||
\(631\) | −10.5426 | + | 18.2603i | −0.419693 | + | 0.726930i | −0.995908 | − | 0.0903679i | \(-0.971196\pi\) |
0.576215 | + | 0.817298i | \(0.304529\pi\) | |||||||
\(632\) | −7.60807 | + | 13.1776i | −0.302633 | + | 0.524176i | ||||
\(633\) | −18.9636 | − | 32.8459i | −0.753736 | − | 1.30551i | ||||
\(634\) | 44.6940 | 1.77503 | ||||||||
\(635\) | 24.4273 | + | 42.3093i | 0.969368 | + | 1.67899i | ||||
\(636\) | 26.0329 | − | 45.0903i | 1.03227 | − | 1.78795i | ||||
\(637\) | −16.9837 | −0.672918 | ||||||||
\(638\) | 2.62021 | − | 4.53834i | 0.103735 | − | 0.179675i | ||||
\(639\) | 30.3909 | + | 52.6386i | 1.20225 | + | 2.08235i | ||||
\(640\) | 29.2461 | + | 50.6557i | 1.15605 | + | 2.00234i | ||||
\(641\) | 34.1434 | 1.34858 | 0.674291 | − | 0.738466i | \(-0.264449\pi\) | ||||
0.674291 | + | 0.738466i | \(0.264449\pi\) | |||||||
\(642\) | 38.9726 | + | 67.5025i | 1.53813 | + | 2.66411i | ||||
\(643\) | 28.8469 | 1.13761 | 0.568804 | − | 0.822473i | \(-0.307406\pi\) | ||||
0.568804 | + | 0.822473i | \(0.307406\pi\) | |||||||
\(644\) | 80.5107 | 3.17257 | ||||||||
\(645\) | 54.2718 | − | 1.35568i | 2.13695 | − | 0.0533798i | ||||
\(646\) | −11.6836 | −0.459686 | ||||||||
\(647\) | 18.7741 | 0.738084 | 0.369042 | − | 0.929413i | \(-0.379686\pi\) | ||||
0.369042 | + | 0.929413i | \(0.379686\pi\) | |||||||
\(648\) | −0.945696 | − | 1.63799i | −0.0371505 | − | 0.0643465i | ||||
\(649\) | −1.21377 | −0.0476448 | ||||||||
\(650\) | −12.8013 | − | 22.1725i | −0.502108 | − | 0.869676i | ||||
\(651\) | −32.2159 | − | 55.7997i | −1.26264 | − | 2.18696i | ||||
\(652\) | 35.8396 | − | 62.0760i | 1.40359 | − | 2.43108i | ||||
\(653\) | −43.6976 | −1.71002 | −0.855010 | − | 0.518612i | \(-0.826449\pi\) | ||||
−0.855010 | + | 0.518612i | \(0.826449\pi\) | |||||||
\(654\) | −41.5903 | + | 72.0365i | −1.62631 | + | 2.81685i | ||||
\(655\) | −17.2622 | − | 29.8991i | −0.674491 | − | 1.16825i | ||||
\(656\) | 3.32900 | 0.129976 | ||||||||
\(657\) | 8.31249 | + | 14.3977i | 0.324301 | + | 0.561706i | ||||
\(658\) | 39.7213 | − | 68.7993i | 1.54850 | − | 2.68208i | ||||
\(659\) | 9.68199 | − | 16.7697i | 0.377157 | − | 0.653255i | −0.613490 | − | 0.789702i | \(-0.710235\pi\) |
0.990647 | + | 0.136447i | \(0.0435684\pi\) | |||||||
\(660\) | −7.10459 | + | 12.3055i | −0.276546 | + | 0.478992i | ||||
\(661\) | −6.86779 | −0.267126 | −0.133563 | − | 0.991040i | \(-0.542642\pi\) | ||||
−0.133563 | + | 0.991040i | \(0.542642\pi\) | |||||||
\(662\) | −37.1662 | + | 64.3737i | −1.44450 | + | 2.50195i | ||||
\(663\) | 4.01150 | − | 6.94813i | 0.155794 | − | 0.269843i | ||||
\(664\) | −18.4867 | − | 32.0198i | −0.717421 | − | 1.24261i | ||||
\(665\) | 26.8074 | + | 46.4317i | 1.03955 | + | 1.80054i | ||||
\(666\) | 85.1141 | 3.29810 | ||||||||
\(667\) | −29.4377 | −1.13983 | ||||||||
\(668\) | 15.8389 | + | 27.4338i | 0.612826 | + | 1.06144i | ||||
\(669\) | 8.22045 | + | 14.2382i | 0.317821 | + | 0.550482i | ||||
\(670\) | 6.51612 | − | 11.2863i | 0.251740 | − | 0.436026i | ||||
\(671\) | −1.15095 | + | 1.99351i | −0.0444321 | + | 0.0769587i | ||||
\(672\) | 47.0871 | 1.81642 | ||||||||
\(673\) | −16.0618 | + | 27.8199i | −0.619138 | + | 1.07238i | 0.370505 | + | 0.928830i | \(0.379184\pi\) |
−0.989643 | + | 0.143548i | \(0.954149\pi\) | |||||||
\(674\) | −31.7363 | + | 54.9688i | −1.22243 | + | 2.11732i | ||||
\(675\) | 9.41636 | − | 16.3096i | 0.362436 | − | 0.627758i | ||||
\(676\) | 8.02483 | + | 13.8994i | 0.308647 | + | 0.534593i | ||||
\(677\) | −4.98440 | −0.191566 | −0.0957831 | − | 0.995402i | \(-0.530536\pi\) | ||||
−0.0957831 | + | 0.995402i | \(0.530536\pi\) | |||||||
\(678\) | 15.6357 | + | 27.0818i | 0.600484 | + | 1.04007i | ||||
\(679\) | −18.3892 | + | 31.8511i | −0.705714 | + | 1.22233i | ||||
\(680\) | −9.71098 | −0.372399 | ||||||||
\(681\) | 22.8717 | − | 39.6150i | 0.876447 | − | 1.51805i | ||||
\(682\) | 3.77101 | + | 6.53158i | 0.144399 | + | 0.250107i | ||||
\(683\) | −24.4049 | − | 42.2705i | −0.933827 | − | 1.61743i | −0.776713 | − | 0.629854i | \(-0.783115\pi\) |
−0.157113 | − | 0.987581i | \(-0.550219\pi\) | |||||||
\(684\) | −81.5828 | −3.11940 | ||||||||
\(685\) | −7.60537 | − | 13.1729i | −0.290586 | − | 0.503310i | ||||
\(686\) | −9.19014 | −0.350881 | ||||||||
\(687\) | −5.92426 | −0.226025 | ||||||||
\(688\) | −2.69662 | − | 4.41242i | −0.102808 | − | 0.168222i | ||||
\(689\) | −15.7912 | −0.601596 | ||||||||
\(690\) | 126.690 | 4.82299 | ||||||||
\(691\) | 3.93880 | + | 6.82220i | 0.149839 | + | 0.259529i | 0.931168 | − | 0.364591i | \(-0.118791\pi\) |
−0.781329 | + | 0.624120i | \(0.785458\pi\) | |||||||
\(692\) | 37.6056 | 1.42955 | ||||||||
\(693\) | 4.31351 | + | 7.47121i | 0.163857 | + | 0.283808i | ||||
\(694\) | 5.24118 | + | 9.07799i | 0.198952 | + | 0.344596i | ||||
\(695\) | 32.9361 | − | 57.0470i | 1.24934 | − | 2.16392i | ||||
\(696\) | 40.7474 | 1.54453 | ||||||||
\(697\) | 2.11071 | − | 3.65585i | 0.0799487 | − | 0.138475i | ||||
\(698\) | −2.09793 | − | 3.63371i | −0.0794076 | − | 0.137538i | ||||
\(699\) | −8.57860 | −0.324472 | ||||||||
\(700\) | 23.3950 | + | 40.5214i | 0.884249 | + | 1.53156i | ||||
\(701\) | −1.09638 | + | 1.89899i | −0.0414097 | + | 0.0717237i | −0.885987 | − | 0.463709i | \(-0.846518\pi\) |
0.844578 | + | 0.535433i | \(0.179852\pi\) | |||||||
\(702\) | 16.4782 | − | 28.5410i | 0.621928 | − | 1.07721i | ||||
\(703\) | −19.2956 | + | 33.4209i | −0.727747 | + | 1.26049i | ||||
\(704\) | −6.30651 | −0.237685 | ||||||||
\(705\) | 39.3801 | − | 68.2084i | 1.48314 | − | 2.56888i | ||||
\(706\) | 36.8969 | − | 63.9074i | 1.38863 | − | 2.40519i | ||||
\(707\) | −23.7761 | − | 41.1814i | −0.894192 | − | 1.54879i | ||||
\(708\) | −11.4316 | − | 19.8002i | −0.429628 | − | 0.744137i | ||||
\(709\) | 13.0818 | 0.491298 | 0.245649 | − | 0.969359i | \(-0.420999\pi\) | ||||
0.245649 | + | 0.969359i | \(0.420999\pi\) | |||||||
\(710\) | −88.0740 | −3.30536 | ||||||||
\(711\) | 11.0940 | + | 19.2153i | 0.416057 | + | 0.720632i | ||||
\(712\) | −13.5534 | − | 23.4752i | −0.507935 | − | 0.879770i | ||||
\(713\) | 21.1834 | − | 36.6907i | 0.793325 | − | 1.37408i | ||||
\(714\) | −11.6362 | + | 20.1545i | −0.435473 | + | 0.754262i | ||||
\(715\) | 4.30954 | 0.161168 | ||||||||
\(716\) | 1.61983 | − | 2.80562i | 0.0605357 | − | 0.104851i | ||||
\(717\) | −40.6422 | + | 70.3944i | −1.51781 | + | 2.62893i | ||||
\(718\) | −36.1814 | + | 62.6680i | −1.35028 | + | 2.33875i | ||||
\(719\) | 6.34936 | + | 10.9974i | 0.236791 | + | 0.410134i | 0.959792 | − | 0.280713i | \(-0.0905709\pi\) |
−0.723000 | + | 0.690848i | \(0.757238\pi\) | |||||||
\(720\) | −11.1669 | −0.416165 | ||||||||
\(721\) | 25.7613 | + | 44.6199i | 0.959402 | + | 1.66173i | ||||
\(722\) | 7.26728 | − | 12.5873i | 0.270460 | − | 0.468451i | ||||
\(723\) | −42.7108 | −1.58843 | ||||||||
\(724\) | 38.2452 | − | 66.2426i | 1.42137 | − | 2.46189i | ||||
\(725\) | −8.55409 | − | 14.8161i | −0.317691 | − | 0.550257i | ||||
\(726\) | 34.8156 | + | 60.3025i | 1.29213 | + | 2.23803i | ||||
\(727\) | −14.5455 | −0.539464 | −0.269732 | − | 0.962935i | \(-0.586935\pi\) | ||||
−0.269732 | + | 0.962935i | \(0.586935\pi\) | |||||||
\(728\) | 16.8998 | + | 29.2713i | 0.626347 | + | 1.08486i | ||||
\(729\) | −43.9226 | −1.62676 | ||||||||
\(730\) | −24.0899 | −0.891607 | ||||||||
\(731\) | −6.55539 | + | 0.163750i | −0.242460 | + | 0.00605651i | ||||
\(732\) | −43.3600 | −1.60263 | ||||||||
\(733\) | 30.1939 | 1.11524 | 0.557619 | − | 0.830097i | \(-0.311715\pi\) | ||||
0.557619 | + | 0.830097i | \(0.311715\pi\) | |||||||
\(734\) | −30.0509 | − | 52.0496i | −1.10920 | − | 1.92119i | ||||
\(735\) | 48.8415 | 1.80154 | ||||||||
\(736\) | 15.4809 | + | 26.8137i | 0.570634 | + | 0.988367i | ||||
\(737\) | 0.475392 | + | 0.823403i | 0.0175113 | + | 0.0303304i | ||||
\(738\) | 23.3928 | − | 40.5176i | 0.861102 | − | 1.49147i | ||||
\(739\) | −4.33258 | −0.159376 | −0.0796882 | − | 0.996820i | \(-0.525392\pi\) | ||||
−0.0796882 | + | 0.996820i | \(0.525392\pi\) | |||||||
\(740\) | −38.8519 | + | 67.2934i | −1.42822 | + | 2.47375i | ||||
\(741\) | 20.1580 | + | 34.9148i | 0.740524 | + | 1.28263i | ||||
\(742\) | 45.8055 | 1.68157 | ||||||||
\(743\) | −2.05226 | − | 3.55461i | −0.0752900 | − | 0.130406i | 0.825922 | − | 0.563784i | \(-0.190655\pi\) |
−0.901212 | + | 0.433378i | \(0.857322\pi\) | |||||||
\(744\) | −29.3218 | + | 50.7869i | −1.07499 | + | 1.86194i | ||||
\(745\) | 25.5045 | − | 44.1751i | 0.934413 | − | 1.61845i | ||||
\(746\) | −27.2437 | + | 47.1874i | −0.997461 | + | 1.72765i | ||||
\(747\) | −53.9139 | −1.97261 | ||||||||
\(748\) | 0.858151 | − | 1.48636i | 0.0313771 | − | 0.0543468i | ||||
\(749\) | −21.6018 | + | 37.4155i | −0.789314 | + | 1.36713i | ||||
\(750\) | −11.3091 | − | 19.5879i | −0.412949 | − | 0.715249i | ||||
\(751\) | 6.04133 | + | 10.4639i | 0.220451 | + | 0.381833i | 0.954945 | − | 0.296782i | \(-0.0959136\pi\) |
−0.734494 | + | 0.678616i | \(0.762580\pi\) | |||||||
\(752\) | −7.50218 | −0.273576 | ||||||||
\(753\) | 48.4701 | 1.76635 | ||||||||
\(754\) | −14.9692 | − | 25.9275i | −0.545147 | − | 0.944223i | ||||
\(755\) | −2.73710 | − | 4.74079i | −0.0996131 | − | 0.172535i | ||||
\(756\) | −30.1147 | + | 52.1602i | −1.09526 | + | 1.89705i | ||||
\(757\) | −4.87313 | + | 8.44051i | −0.177117 | + | 0.306775i | −0.940892 | − | 0.338707i | \(-0.890010\pi\) |
0.763775 | + | 0.645483i | \(0.223344\pi\) | |||||||
\(758\) | −34.9225 | −1.26844 | ||||||||
\(759\) | −4.62140 | + | 8.00450i | −0.167746 | + | 0.290545i | ||||
\(760\) | 24.3991 | − | 42.2605i | 0.885049 | − | 1.53295i | ||||
\(761\) | −9.68749 | + | 16.7792i | −0.351171 | + | 0.608246i | −0.986455 | − | 0.164032i | \(-0.947550\pi\) |
0.635284 | + | 0.772279i | \(0.280883\pi\) | |||||||
\(762\) | −53.2811 | − | 92.2856i | −1.93017 | − | 3.34315i | ||||
\(763\) | −46.1056 | −1.66913 | ||||||||
\(764\) | −33.9726 | − | 58.8423i | −1.22909 | − | 2.12884i | ||||
\(765\) | −7.08020 | + | 12.2633i | −0.255985 | + | 0.443380i | ||||
\(766\) | 31.3128 | 1.13138 | ||||||||
\(767\) | −3.46713 | + | 6.00525i | −0.125191 | + | 0.216837i | ||||
\(768\) | −28.9139 | − | 50.0803i | −1.04334 | − | 1.80712i | ||||
\(769\) | −1.21136 | − | 2.09814i | −0.0436828 | − | 0.0756609i | 0.843357 | − | 0.537353i | \(-0.180576\pi\) |
−0.887040 | + | 0.461692i | \(0.847242\pi\) | |||||||
\(770\) | −12.5007 | −0.450494 | ||||||||
\(771\) | 6.67927 | + | 11.5688i | 0.240548 | + | 0.416641i | ||||
\(772\) | −51.3149 | −1.84686 | ||||||||
\(773\) | 38.7186 | 1.39261 | 0.696306 | − | 0.717745i | \(-0.254826\pi\) | ||||
0.696306 | + | 0.717745i | \(0.254826\pi\) | |||||||
\(774\) | −72.6530 | + | 1.81483i | −2.61146 | + | 0.0652327i | ||||
\(775\) | 24.6221 | 0.884452 | ||||||||
\(776\) | 33.4745 | 1.20166 | ||||||||
\(777\) | 38.4345 | + | 66.5705i | 1.37883 | + | 2.38820i | ||||
\(778\) | 77.0623 | 2.76282 | ||||||||
\(779\) | 10.6064 | + | 18.3709i | 0.380015 | + | 0.658205i | ||||
\(780\) | 40.5884 | + | 70.3012i | 1.45330 | + | 2.51719i | ||||
\(781\) | 3.21277 | − | 5.56469i | 0.114962 | − | 0.199120i | ||||
\(782\) | −15.3026 | −0.547220 | ||||||||
\(783\) | 11.0111 | − | 19.0717i | 0.393503 | − | 0.681568i | ||||
\(784\) | −2.32616 | − | 4.02902i | −0.0830771 | − | 0.143894i | ||||
\(785\) | 19.0217 | 0.678912 | ||||||||
\(786\) | 37.6526 | + | 65.2162i | 1.34302 | + | 2.32618i | ||||
\(787\) | −1.55343 | + | 2.69062i | −0.0553738 | + | 0.0959102i | −0.892384 | − | 0.451278i | \(-0.850968\pi\) |
0.837010 | + | 0.547188i | \(0.184302\pi\) | |||||||
\(788\) | −37.0369 | + | 64.1498i | −1.31938 | + | 2.28524i | ||||
\(789\) | −3.20788 | + | 5.55621i | −0.114204 | + | 0.197806i | ||||
\(790\) | −32.1508 | −1.14387 | ||||||||
\(791\) | −8.66658 | + | 15.0110i | −0.308148 | + | 0.533728i | ||||
\(792\) | 3.92600 | − | 6.80003i | 0.139504 | − | 0.241629i | ||||
\(793\) | 6.57539 | + | 11.3889i | 0.233499 | + | 0.404432i | ||||
\(794\) | 14.4719 | + | 25.0660i | 0.513588 | + | 0.889560i | ||||
\(795\) | 45.4121 | 1.61060 | ||||||||
\(796\) | 60.7242 | 2.15231 | ||||||||
\(797\) | −7.82501 | − | 13.5533i | −0.277176 | − | 0.480083i | 0.693506 | − | 0.720451i | \(-0.256065\pi\) |
−0.970682 | + | 0.240368i | \(0.922732\pi\) | |||||||
\(798\) | −58.4725 | − | 101.277i | −2.06991 | − | 3.58518i | ||||
\(799\) | −4.75665 | + | 8.23877i | −0.168278 | + | 0.291467i | ||||
\(800\) | −8.99696 | + | 15.5832i | −0.318091 | + | 0.550949i | ||||
\(801\) | −39.5268 | −1.39661 | ||||||||
\(802\) | 16.7120 | − | 28.9460i | 0.590120 | − | 1.02212i | ||||
\(803\) | 0.878755 | − | 1.52205i | 0.0310106 | − | 0.0537119i | ||||
\(804\) | −8.95475 | + | 15.5101i | −0.315810 | + | 0.546998i | ||||
\(805\) | 35.1109 | + | 60.8139i | 1.23750 | + | 2.14341i | ||||
\(806\) | 43.0875 | 1.51769 | ||||||||
\(807\) | 9.05223 | + | 15.6789i | 0.318654 | + | 0.551924i | ||||
\(808\) | −21.6402 | + | 37.4819i | −0.761298 | + | 1.31861i | ||||
\(809\) | −15.0932 | −0.530648 | −0.265324 | − | 0.964159i | \(-0.585479\pi\) | ||||
−0.265324 | + | 0.964159i | \(0.585479\pi\) | |||||||
\(810\) | 1.99820 | − | 3.46098i | 0.0702095 | − | 0.121606i | ||||
\(811\) | −18.9865 | − | 32.8856i | −0.666706 | − | 1.15477i | −0.978820 | − | 0.204724i | \(-0.934370\pi\) |
0.312113 | − | 0.950045i | \(-0.398963\pi\) | |||||||
\(812\) | 27.3571 | + | 47.3838i | 0.960044 | + | 1.66285i | ||||
\(813\) | 29.3636 | 1.02983 | ||||||||
\(814\) | −4.49892 | − | 7.79235i | −0.157687 | − | 0.273122i | ||||
\(815\) | 62.5190 | 2.18994 | ||||||||
\(816\) | 2.19773 | 0.0769360 | ||||||||
\(817\) | 15.7580 | − | 28.9394i | 0.551303 | − | 1.01246i | ||||
\(818\) | −28.5768 | −0.999165 | ||||||||
\(819\) | 49.2860 | 1.72219 | ||||||||
\(820\) | 21.3562 | + | 36.9900i | 0.745789 | + | 1.29175i | ||||
\(821\) | −21.5513 | −0.752146 | −0.376073 | − | 0.926590i | \(-0.622726\pi\) | ||||
−0.376073 | + | 0.926590i | \(0.622726\pi\) | |||||||
\(822\) | 16.5889 | + | 28.7328i | 0.578605 | + | 1.00217i | ||||
\(823\) | −0.486184 | − | 0.842095i | −0.0169473 | − | 0.0293536i | 0.857427 | − | 0.514605i | \(-0.172061\pi\) |
−0.874375 | + | 0.485251i | \(0.838728\pi\) | |||||||
\(824\) | 23.4471 | − | 40.6115i | 0.816817 | − | 1.41477i | ||||
\(825\) | −5.37159 | −0.187015 | ||||||||
\(826\) | 10.0571 | − | 17.4195i | 0.349932 | − | 0.606100i | ||||
\(827\) | −5.35696 | − | 9.27853i | −0.186280 | − | 0.322646i | 0.757727 | − | 0.652571i | \(-0.226310\pi\) |
−0.944007 | + | 0.329925i | \(0.892976\pi\) | |||||||
\(828\) | −106.853 | −3.71340 | ||||||||
\(829\) | −17.0147 | − | 29.4704i | −0.590946 | − | 1.02355i | −0.994105 | − | 0.108419i | \(-0.965421\pi\) |
0.403159 | − | 0.915130i | \(-0.367912\pi\) | |||||||
\(830\) | 39.0611 | − | 67.6559i | 1.35583 | − | 2.34837i | ||||
\(831\) | −37.4765 | + | 64.9112i | −1.30005 | + | 2.25175i | ||||
\(832\) | −18.0145 | + | 31.2020i | −0.624540 | + | 1.08173i | ||||
\(833\) | −5.89947 | −0.204405 | ||||||||
\(834\) | −71.8406 | + | 124.432i | −2.48764 | + | 4.30871i | ||||
\(835\) | −13.8148 | + | 23.9279i | −0.478080 | + | 0.828058i | ||||
\(836\) | 4.31226 | + | 7.46906i | 0.149143 | + | 0.258323i | ||||
\(837\) | 15.8471 | + | 27.4480i | 0.547757 | + | 0.948743i | ||||
\(838\) | 23.7344 | 0.819892 | ||||||||
\(839\) | −30.5573 | −1.05496 | −0.527478 | − | 0.849569i | \(-0.676862\pi\) | ||||
−0.527478 | + | 0.849569i | \(0.676862\pi\) | |||||||
\(840\) | −48.6001 | − | 84.1779i | −1.67686 | − | 2.90441i | ||||
\(841\) | 4.49724 | + | 7.78945i | 0.155077 | + | 0.268602i | ||||
\(842\) | 13.3282 | − | 23.0851i | 0.459320 | − | 0.795566i | ||||
\(843\) | −8.29233 | + | 14.3627i | −0.285603 | + | 0.494679i | ||||
\(844\) | −46.3523 | −1.59551 | ||||||||
\(845\) | −6.99930 | + | 12.1231i | −0.240783 | + | 0.417049i | ||||
\(846\) | −52.7177 | + | 91.3097i | −1.81247 | + | 3.13929i | ||||
\(847\) | −19.2977 | + | 33.4246i | −0.663077 | + | 1.14848i | ||||
\(848\) | −2.16283 | − | 3.74613i | −0.0742718 | − | 0.128643i | ||||
\(849\) | 52.8965 | 1.81540 | ||||||||
\(850\) | −4.44667 | − | 7.70186i | −0.152520 | − | 0.264172i | ||||
\(851\) | −25.2724 | + | 43.7730i | −0.866326 | + | 1.50052i | ||||
\(852\) | 121.035 | 4.14660 | ||||||||
\(853\) | −2.05349 | + | 3.55674i | −0.0703100 | + | 0.121781i | −0.899037 | − | 0.437872i | \(-0.855732\pi\) |
0.828727 | + | 0.559653i | \(0.189066\pi\) | |||||||
\(854\) | −19.0733 | − | 33.0359i | −0.652673 | − | 1.13046i | ||||
\(855\) | −35.5785 | − | 61.6237i | −1.21676 | − | 2.10749i | ||||
\(856\) | 39.3225 | 1.34401 | ||||||||
\(857\) | −16.5200 | − | 28.6135i | −0.564314 | − | 0.977420i | −0.997113 | − | 0.0759298i | \(-0.975808\pi\) |
0.432799 | − | 0.901490i | \(-0.357526\pi\) | |||||||
\(858\) | −9.40002 | −0.320911 | ||||||||
\(859\) | −12.4751 | −0.425645 | −0.212822 | − | 0.977091i | \(-0.568266\pi\) | ||||
−0.212822 | + | 0.977091i | \(0.568266\pi\) | |||||||
\(860\) | 31.7289 | − | 58.2698i | 1.08195 | − | 1.98698i | ||||
\(861\) | 42.2535 | 1.43999 | ||||||||
\(862\) | −29.3574 | −0.999918 | ||||||||
\(863\) | −22.2856 | − | 38.5998i | −0.758612 | − | 1.31395i | −0.943559 | − | 0.331205i | \(-0.892545\pi\) |
0.184947 | − | 0.982748i | \(-0.440789\pi\) | |||||||
\(864\) | −23.1623 | −0.787996 | ||||||||
\(865\) | 16.3999 | + | 28.4054i | 0.557613 | + | 0.965814i | ||||
\(866\) | 11.0335 | + | 19.1105i | 0.374933 | + | 0.649403i | ||||
\(867\) | 1.39344 | − | 2.41351i | 0.0473237 | − | 0.0819671i | ||||
\(868\) | −78.7446 | −2.67277 | ||||||||
\(869\) | 1.17280 | − | 2.03135i | 0.0397845 | − | 0.0689088i | ||||
\(870\) | 43.0483 | + | 74.5619i | 1.45948 | + | 2.52789i | ||||
\(871\) | 5.43181 | 0.184050 | ||||||||
\(872\) | 20.9818 | + | 36.3416i | 0.710535 | + | 1.23068i | ||||
\(873\) | 24.4060 | − | 42.2724i | 0.826018 | − | 1.43071i | ||||
\(874\) | 38.4483 | − | 66.5943i | 1.30053 | − | 2.25259i | ||||
\(875\) | 6.26843 | − | 10.8572i | 0.211911 | − | 0.367041i | ||||
\(876\) | 33.1054 | 1.11853 | ||||||||
\(877\) | −3.04763 | + | 5.27866i | −0.102911 | + | 0.178248i | −0.912883 | − | 0.408221i | \(-0.866149\pi\) |
0.809972 | + | 0.586469i | \(0.199482\pi\) | |||||||
\(878\) | −16.6599 | + | 28.8558i | −0.562245 | + | 0.973837i | ||||
\(879\) | −5.72845 | − | 9.92196i | −0.193216 | − | 0.334659i | ||||
\(880\) | 0.590253 | + | 1.02235i | 0.0198974 | + | 0.0344634i | ||||
\(881\) | −17.7513 | −0.598055 | −0.299028 | − | 0.954244i | \(-0.596662\pi\) | ||||
−0.299028 | + | 0.954244i | \(0.596662\pi\) | |||||||
\(882\) | −65.3835 | −2.20158 | ||||||||
\(883\) | 16.5651 | + | 28.6916i | 0.557460 | + | 0.965549i | 0.997708 | + | 0.0676727i | \(0.0215574\pi\) |
−0.440248 | + | 0.897876i | \(0.645109\pi\) | |||||||
\(884\) | −4.90260 | − | 8.49156i | −0.164892 | − | 0.285602i | ||||
\(885\) | 9.97074 | − | 17.2698i | 0.335163 | − | 0.580519i | ||||
\(886\) | 0.252473 | − | 0.437295i | 0.00848198 | − | 0.0146912i | ||||
\(887\) | 48.4779 | 1.62773 | 0.813863 | − | 0.581056i | \(-0.197360\pi\) | ||||
0.813863 | + | 0.581056i | \(0.197360\pi\) | |||||||
\(888\) | 34.9817 | − | 60.5901i | 1.17391 | − | 2.03327i | ||||
\(889\) | 29.5328 | − | 51.1523i | 0.990499 | − | 1.71559i | ||||
\(890\) | 28.6375 | − | 49.6016i | 0.959931 | − | 1.66265i | ||||
\(891\) | 0.145781 | + | 0.252500i | 0.00488385 | + | 0.00845908i | ||||
\(892\) | 20.0930 | 0.672764 | ||||||||
\(893\) | −23.9025 | − | 41.4003i | −0.799866 | − | 1.38541i | ||||
\(894\) | −55.6307 | + | 96.3553i | −1.86057 | + | 3.22260i | ||||
\(895\) | 2.82564 | 0.0944507 | ||||||||
\(896\) | 35.3587 | − | 61.2431i | 1.18125 | − | 2.04599i | ||||
\(897\) | 26.4020 | + | 45.7296i | 0.881536 | + | 1.52687i | ||||
\(898\) | 46.6821 | + | 80.8558i | 1.55780 | + | 2.69819i | ||||
\(899\) | 28.7920 | 0.960266 | ||||||||
\(900\) | −31.0496 | − | 53.7795i | −1.03499 | − | 1.79265i | ||||
\(901\) | −5.48524 | −0.182740 | ||||||||
\(902\) | −4.94595 | −0.164682 | ||||||||
\(903\) | −34.2270 | − | 56.0048i | −1.13900 | − | 1.86372i | ||||
\(904\) | 15.7760 | 0.524703 | ||||||||
\(905\) | 66.7153 | 2.21769 | ||||||||
\(906\) | 5.97018 | + | 10.3407i | 0.198346 | + | 0.343545i | ||||
\(907\) | 7.49684 | 0.248928 | 0.124464 | − | 0.992224i | \(-0.460279\pi\) | ||||
0.124464 | + | 0.992224i | \(0.460279\pi\) | |||||||
\(908\) | −27.9524 | − | 48.4150i | −0.927633 | − | 1.60671i | ||||
\(909\) | 31.5554 | + | 54.6555i | 1.04663 | + | 1.81281i | ||||
\(910\) | −35.7082 | + | 61.8483i | −1.18371 | + | 2.05025i | ||||
\(911\) | 36.4154 | 1.20649 | 0.603247 | − | 0.797554i | \(-0.293873\pi\) | ||||
0.603247 | + | 0.797554i | \(0.293873\pi\) | |||||||
\(912\) | −5.52187 | + | 9.56415i | −0.182847 | + | 0.316701i | ||||
\(913\) | 2.84976 | + | 4.93592i | 0.0943131 | + | 0.163355i | ||||
\(914\) | −48.7710 | −1.61320 | ||||||||
\(915\) | −18.9094 | − | 32.7521i | −0.625126 | − | 1.08275i | ||||
\(916\) | −3.62013 | + | 6.27024i | −0.119612 | + | 0.207175i | ||||
\(917\) | −20.8702 | + | 36.1482i | −0.689194 | + | 1.19372i | ||||
\(918\) | 5.72388 | − | 9.91404i | 0.188916 | − | 0.327212i | ||||
\(919\) | 20.8956 | 0.689282 | 0.344641 | − | 0.938735i | \(-0.388001\pi\) | ||||
0.344641 | + | 0.938735i | \(0.388001\pi\) | |||||||
\(920\) | 31.9567 | − | 55.3507i | 1.05358 | − | 1.82486i | ||||
\(921\) | −20.1435 | + | 34.8895i | −0.663750 | + | 1.14965i | ||||
\(922\) | −7.58812 | − | 13.1430i | −0.249902 | − | 0.432842i | ||||
\(923\) | −18.3545 | − | 31.7910i | −0.604147 | − | 1.04641i | ||||
\(924\) | 17.1790 | 0.565148 | ||||||||
\(925\) | −29.3748 | −0.965839 | ||||||||
\(926\) | −16.1028 | − | 27.8908i | −0.529170 | − | 0.916550i | ||||
\(927\) | −34.1901 | − | 59.2191i | −1.12295 | − | 1.94501i | ||||
\(928\) | −10.5206 | + | 18.2223i | −0.345357 | + | 0.598175i | ||||
\(929\) | −17.1962 | + | 29.7847i | −0.564190 | + | 0.977206i | 0.432934 | + | 0.901425i | \(0.357478\pi\) |
−0.997125 | + | 0.0757805i | \(0.975855\pi\) | |||||||
\(930\) | −123.910 | −4.06318 | ||||||||
\(931\) | 14.8226 | − | 25.6735i | 0.485791 | − | 0.841415i | ||||
\(932\) | −5.24211 | + | 9.07960i | −0.171711 | + | 0.297412i | ||||
\(933\) | −15.0643 | + | 26.0921i | −0.493182 | + | 0.854216i | ||||
\(934\) | −4.21038 | − | 7.29260i | −0.137768 | − | 0.238621i | ||||
\(935\) | 1.49697 | 0.0489561 | ||||||||
\(936\) | −22.4292 | − | 38.8485i | −0.733121 | − | 1.26980i | ||||
\(937\) | 24.6378 | − | 42.6739i | 0.804882 | − | 1.39410i | −0.111490 | − | 0.993766i | \(-0.535562\pi\) |
0.916371 | − | 0.400330i | \(-0.131105\pi\) | |||||||
\(938\) | −15.7561 | −0.514454 | ||||||||
\(939\) | −37.5796 | + | 65.0898i | −1.22636 | + | 2.12413i | ||||
\(940\) | −48.1279 | − | 83.3599i | −1.56976 | − | 2.71890i | ||||
\(941\) | −17.0483 | − | 29.5285i | −0.555759 | − | 0.962602i | −0.997844 | − | 0.0656294i | \(-0.979094\pi\) |
0.442085 | − | 0.896973i | \(-0.354239\pi\) | |||||||
\(942\) | −41.4903 | −1.35183 | ||||||||
\(943\) | 13.8918 | + | 24.0612i | 0.452378 | + | 0.783542i | ||||
\(944\) | −1.89949 | −0.0618233 | ||||||||
\(945\) | −52.5324 | −1.70888 | ||||||||
\(946\) | 4.00641 | + | 6.55559i | 0.130260 | + | 0.213141i | ||||
\(947\) | 30.3688 | 0.986855 | 0.493427 | − | 0.869787i | \(-0.335744\pi\) | ||||
0.493427 | + | 0.869787i | \(0.335744\pi\) | |||||||
\(948\) | 44.1830 | 1.43500 | ||||||||
\(949\) | −5.02031 | − | 8.69544i | −0.162966 | − | 0.282266i | ||||
\(950\) | 44.6896 | 1.44992 | ||||||||
\(951\) | −26.7856 | − | 46.3941i | −0.868584 | − | 1.50443i | ||||
\(952\) | 5.87032 | + | 10.1677i | 0.190258 | + | 0.329537i | ||||
\(953\) | −13.9581 | + | 24.1762i | −0.452149 | + | 0.783145i | −0.998519 | − | 0.0543989i | \(-0.982676\pi\) |
0.546370 | + | 0.837544i | \(0.316009\pi\) | |||||||
\(954\) | −60.7926 | −1.96823 | ||||||||
\(955\) | 29.6311 | − | 51.3225i | 0.958839 | − | 1.66076i | ||||
\(956\) | 49.6703 | + | 86.0315i | 1.60645 | + | 2.78246i | ||||
\(957\) | −6.28129 | −0.203045 | ||||||||
\(958\) | 18.6560 | + | 32.3132i | 0.602748 | + | 1.04399i | ||||
\(959\) | −9.19495 | + | 15.9261i | −0.296920 | + | 0.514281i | ||||
\(960\) | 51.8058 | − | 89.7304i | 1.67203 | − | 2.89603i | ||||
\(961\) | −5.21870 | + | 9.03906i | −0.168345 | + | 0.291583i | ||||
\(962\) | −51.4045 | −1.65735 | ||||||||
\(963\) | 28.6697 | − | 49.6574i | 0.923869 | − | 1.60019i | ||||
\(964\) | −26.0992 | + | 45.2051i | −0.840598 | + | 1.45596i | ||||
\(965\) | −22.3786 | − | 38.7608i | −0.720392 | − | 1.24775i | ||||
\(966\) | −76.5843 | − | 132.648i | −2.46406 | − | 4.26788i | ||||
\(967\) | −52.7063 | −1.69492 | −0.847459 | − | 0.530860i | \(-0.821869\pi\) | ||||
−0.847459 | + | 0.530860i | \(0.821869\pi\) | |||||||
\(968\) | 35.1282 | 1.12906 | ||||||||
\(969\) | 7.00213 | + | 12.1280i | 0.224941 | + | 0.389609i | ||||
\(970\) | 35.3648 | + | 61.2536i | 1.13549 | + | 1.96673i | ||||
\(971\) | −12.5472 | + | 21.7324i | −0.402658 | + | 0.697425i | −0.994046 | − | 0.108963i | \(-0.965247\pi\) |
0.591388 | + | 0.806388i | \(0.298580\pi\) | |||||||
\(972\) | −27.9004 | + | 48.3249i | −0.894906 | + | 1.55002i | ||||
\(973\) | −79.6400 | −2.55314 | ||||||||
\(974\) | −0.809780 | + | 1.40258i | −0.0259470 | + | 0.0449415i | ||||
\(975\) | −15.3439 | + | 26.5764i | −0.491399 | + | 0.851127i | ||||
\(976\) | −1.80119 | + | 3.11975i | −0.0576546 | + | 0.0998607i | ||||
\(977\) | −13.0026 | − | 22.5211i | −0.415990 | − | 0.720515i | 0.579542 | − | 0.814942i | \(-0.303231\pi\) |
−0.995532 | + | 0.0944272i | \(0.969898\pi\) | |||||||
\(978\) | −136.367 | −4.36054 | ||||||||
\(979\) | 2.08929 | + | 3.61875i | 0.0667739 | + | 0.115656i | ||||
\(980\) | 29.8455 | − | 51.6939i | 0.953379 | − | 1.65130i | ||||
\(981\) | 61.1908 | 1.95367 | ||||||||
\(982\) | −41.6704 | + | 72.1753i | −1.32976 | + | 2.30321i | ||||
\(983\) | 9.71576 | + | 16.8282i | 0.309885 | + | 0.536736i | 0.978337 | − | 0.207019i | \(-0.0663762\pi\) |
−0.668452 | + | 0.743755i | \(0.733043\pi\) | |||||||
\(984\) | −19.2288 | − | 33.3053i | −0.612992 | − | 1.06173i | ||||
\(985\) | −64.6075 | −2.05857 | ||||||||
\(986\) | −5.19973 | − | 9.00620i | −0.165593 | − | 0.286816i | ||||
\(987\) | −95.2217 | −3.03094 | ||||||||
\(988\) | 49.2718 | 1.56754 | ||||||||
\(989\) | 20.6390 | − | 37.9033i | 0.656283 | − | 1.20526i | ||||
\(990\) | 16.5908 | 0.527290 | ||||||||
\(991\) | 37.5650 | 1.19329 | 0.596646 | − | 0.802504i | \(-0.296500\pi\) | ||||
0.596646 | + | 0.802504i | \(0.296500\pi\) | |||||||
\(992\) | −15.1413 | − | 26.2255i | −0.480737 | − | 0.832661i | ||||
\(993\) | 89.0964 | 2.82739 | ||||||||
\(994\) | 53.2411 | + | 92.2162i | 1.68870 | + | 2.92492i | ||||
\(995\) | 26.4820 | + | 45.8681i | 0.839534 | + | 1.45412i | ||||
\(996\) | −53.6796 | + | 92.9758i | −1.70090 | + | 2.94605i | ||||
\(997\) | −17.1424 | −0.542906 | −0.271453 | − | 0.962452i | \(-0.587504\pi\) | ||||
−0.271453 | + | 0.962452i | \(0.587504\pi\) | |||||||
\(998\) | −2.29209 | + | 3.97001i | −0.0725548 | + | 0.125669i | ||||
\(999\) | −18.9060 | − | 32.7462i | −0.598161 | − | 1.03605i |
(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.681.3 | yes | 58 | |
43.6 | even | 3 | inner | 731.2.e.a.307.3 | ✓ | 58 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.e.a.307.3 | ✓ | 58 | 43.6 | even | 3 | inner | |
731.2.e.a.681.3 | yes | 58 | 1.1 | even | 1 | trivial |