Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(41,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bb (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.5 | ||
Character | \(\chi\) | \(=\) | 570.41 |
Dual form | 570.2.bb.a.431.5 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | −0.978339 | − | 1.42928i | −0.564844 | − | 0.825197i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.984808 | + | 0.173648i | 0.440419 | + | 0.0776578i | ||||
\(6\) | 0.169275 | − | 1.72376i | 0.0691061 | − | 0.703722i | ||||
\(7\) | 1.36690 | + | 2.36755i | 0.516641 | + | 0.894848i | 0.999813 | + | 0.0193228i | \(0.00615103\pi\) |
−0.483173 | + | 0.875525i | \(0.660516\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −1.08571 | + | 2.79665i | −0.361902 | + | 0.932216i | ||||
\(10\) | 0.642788 | + | 0.766044i | 0.203267 | + | 0.242245i | ||||
\(11\) | −0.676767 | − | 0.390732i | −0.204053 | − | 0.117810i | 0.394492 | − | 0.918900i | \(-0.370921\pi\) |
−0.598545 | + | 0.801090i | \(0.704254\pi\) | |||||||
\(12\) | 1.23768 | − | 1.21167i | 0.357288 | − | 0.349779i | ||||
\(13\) | −1.83374 | + | 5.03816i | −0.508588 | + | 1.39734i | 0.374105 | + | 0.927386i | \(0.377950\pi\) |
−0.882694 | + | 0.469949i | \(0.844272\pi\) | |||||||
\(14\) | −0.474720 | + | 2.69227i | −0.126874 | + | 0.719540i | ||||
\(15\) | −0.715283 | − | 1.57746i | −0.184685 | − | 0.407298i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 2.15858 | − | 2.57249i | 0.523532 | − | 0.623922i | −0.437880 | − | 0.899033i | \(-0.644270\pi\) |
0.961412 | + | 0.275112i | \(0.0887149\pi\) | |||||||
\(18\) | −2.62935 | + | 1.44448i | −0.619744 | + | 0.340467i | ||||
\(19\) | 3.57411 | + | 2.49514i | 0.819958 | + | 0.572423i | ||||
\(20\) | 1.00000i | 0.223607i | ||||||||
\(21\) | 2.04660 | − | 4.26995i | 0.446605 | − | 0.931780i | ||||
\(22\) | −0.267276 | − | 0.734335i | −0.0569835 | − | 0.156561i | ||||
\(23\) | 3.18651 | − | 0.561867i | 0.664433 | − | 0.117157i | 0.168747 | − | 0.985659i | \(-0.446028\pi\) |
0.495686 | + | 0.868502i | \(0.334917\pi\) | |||||||
\(24\) | 1.72697 | − | 0.132625i | 0.352515 | − | 0.0270719i | ||||
\(25\) | 0.939693 | + | 0.342020i | 0.187939 | + | 0.0684040i | ||||
\(26\) | −4.64320 | + | 2.68075i | −0.910606 | + | 0.525739i | ||||
\(27\) | 5.05939 | − | 1.18429i | 0.973681 | − | 0.227917i | ||||
\(28\) | −2.09422 | + | 1.75726i | −0.395770 | + | 0.332090i | ||||
\(29\) | 1.79957 | − | 1.51002i | 0.334172 | − | 0.280404i | −0.460225 | − | 0.887802i | \(-0.652231\pi\) |
0.794397 | + | 0.607399i | \(0.207787\pi\) | |||||||
\(30\) | 0.466031 | − | 1.66818i | 0.0850852 | − | 0.304566i | ||||
\(31\) | 1.09008 | − | 0.629356i | 0.195784 | − | 0.113036i | −0.398904 | − | 0.916993i | \(-0.630609\pi\) |
0.594687 | + | 0.803957i | \(0.297276\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 0.103641 | + | 1.34956i | 0.0180416 | + | 0.234928i | ||||
\(34\) | 3.30713 | − | 0.583137i | 0.567169 | − | 0.100007i | ||||
\(35\) | 0.935017 | + | 2.56894i | 0.158047 | + | 0.434230i | ||||
\(36\) | −2.94269 | − | 0.583578i | −0.490449 | − | 0.0972630i | ||||
\(37\) | 8.00419i | 1.31588i | 0.753070 | + | 0.657940i | \(0.228572\pi\) | ||||
−0.753070 | + | 0.657940i | \(0.771428\pi\) | |||||||
\(38\) | 1.13409 | + | 4.20878i | 0.183973 | + | 0.682755i | ||||
\(39\) | 8.99499 | − | 2.30810i | 1.44035 | − | 0.369591i | ||||
\(40\) | −0.642788 | + | 0.766044i | −0.101634 | + | 0.121122i | ||||
\(41\) | −7.68435 | + | 2.79688i | −1.20009 | + | 0.436799i | −0.863257 | − | 0.504764i | \(-0.831579\pi\) |
−0.336837 | + | 0.941563i | \(0.609357\pi\) | |||||||
\(42\) | 4.31246 | − | 1.95545i | 0.665427 | − | 0.301732i | ||||
\(43\) | 0.817700 | − | 4.63741i | 0.124698 | − | 0.707198i | −0.856789 | − | 0.515668i | \(-0.827544\pi\) |
0.981487 | − | 0.191530i | \(-0.0613450\pi\) | |||||||
\(44\) | 0.267276 | − | 0.734335i | 0.0402934 | − | 0.110705i | ||||
\(45\) | −1.55484 | + | 2.56563i | −0.231782 | + | 0.382462i | ||||
\(46\) | 2.80217 | + | 1.61783i | 0.413157 | + | 0.238536i | ||||
\(47\) | 0.780232 | + | 0.929844i | 0.113809 | + | 0.135632i | 0.819941 | − | 0.572448i | \(-0.194006\pi\) |
−0.706132 | + | 0.708080i | \(0.749562\pi\) | |||||||
\(48\) | 1.40818 | + | 1.00848i | 0.203254 | + | 0.145561i | ||||
\(49\) | −0.236847 | + | 0.410231i | −0.0338353 | + | 0.0586044i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | −5.78865 | − | 0.568451i | −0.810573 | − | 0.0795990i | ||||
\(52\) | −5.28005 | − | 0.931015i | −0.732211 | − | 0.129109i | ||||
\(53\) | 0.895427 | + | 5.07822i | 0.122996 | + | 0.697547i | 0.982478 | + | 0.186380i | \(0.0596755\pi\) |
−0.859481 | + | 0.511167i | \(0.829213\pi\) | |||||||
\(54\) | 4.63697 | + | 2.34490i | 0.631011 | + | 0.319100i | ||||
\(55\) | −0.598636 | − | 0.502315i | −0.0807200 | − | 0.0677321i | ||||
\(56\) | −2.73381 | −0.365320 | ||||||||
\(57\) | 0.0695611 | − | 7.54951i | 0.00921360 | − | 0.999958i | ||||
\(58\) | 2.34917 | 0.308462 | ||||||||
\(59\) | −2.63329 | − | 2.20959i | −0.342825 | − | 0.287665i | 0.455076 | − | 0.890453i | \(-0.349612\pi\) |
−0.797901 | + | 0.602788i | \(0.794056\pi\) | |||||||
\(60\) | 1.42928 | − | 0.978339i | 0.184520 | − | 0.126303i | ||||
\(61\) | −1.18539 | − | 6.72266i | −0.151773 | − | 0.860749i | −0.961677 | − | 0.274186i | \(-0.911592\pi\) |
0.809903 | − | 0.586563i | \(-0.199519\pi\) | |||||||
\(62\) | 1.23959 | + | 0.218573i | 0.157428 | + | 0.0277588i | ||||
\(63\) | −8.10525 | + | 1.25229i | −1.02116 | + | 0.157774i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −2.68075 | + | 4.64320i | −0.332506 | + | 0.575918i | ||||
\(66\) | −0.788087 | + | 1.10044i | −0.0970068 | + | 0.135455i | ||||
\(67\) | 5.36968 | + | 6.39933i | 0.656011 | + | 0.781803i | 0.986807 | − | 0.161899i | \(-0.0517618\pi\) |
−0.330797 | + | 0.943702i | \(0.607317\pi\) | |||||||
\(68\) | 2.90825 | + | 1.67908i | 0.352677 | + | 0.203618i | ||||
\(69\) | −3.92055 | − | 4.00473i | −0.471979 | − | 0.482113i | ||||
\(70\) | −0.935017 | + | 2.56894i | −0.111756 | + | 0.307047i | ||||
\(71\) | 2.56916 | − | 14.5704i | 0.304903 | − | 1.72919i | −0.319056 | − | 0.947736i | \(-0.603366\pi\) |
0.623960 | − | 0.781457i | \(-0.285523\pi\) | |||||||
\(72\) | −1.87912 | − | 2.33857i | −0.221456 | − | 0.275603i | ||||
\(73\) | −5.90744 | + | 2.15013i | −0.691414 | + | 0.251654i | −0.663741 | − | 0.747963i | \(-0.731032\pi\) |
−0.0276735 | + | 0.999617i | \(0.508810\pi\) | |||||||
\(74\) | −5.14499 | + | 6.13156i | −0.598093 | + | 0.712780i | ||||
\(75\) | −0.430494 | − | 1.67770i | −0.0497092 | − | 0.193724i | ||||
\(76\) | −1.83659 | + | 3.95309i | −0.210671 | + | 0.453451i | ||||
\(77\) | − | 2.13637i | − | 0.243462i | ||||||
\(78\) | 8.37418 | + | 4.01376i | 0.948189 | + | 0.454469i | ||||
\(79\) | −0.164078 | − | 0.450801i | −0.0184602 | − | 0.0507190i | 0.930120 | − | 0.367255i | \(-0.119702\pi\) |
−0.948580 | + | 0.316536i | \(0.897480\pi\) | |||||||
\(80\) | −0.984808 | + | 0.173648i | −0.110105 | + | 0.0194145i | ||||
\(81\) | −6.64249 | − | 6.07267i | −0.738054 | − | 0.674741i | ||||
\(82\) | −7.68435 | − | 2.79688i | −0.848595 | − | 0.308863i | ||||
\(83\) | 13.4104 | − | 7.74247i | 1.47198 | − | 0.849847i | 0.472474 | − | 0.881345i | \(-0.343361\pi\) |
0.999504 | + | 0.0314977i | \(0.0100277\pi\) | |||||||
\(84\) | 4.56047 | + | 1.27404i | 0.497588 | + | 0.139009i | ||||
\(85\) | 2.57249 | − | 2.15858i | 0.279026 | − | 0.234131i | ||||
\(86\) | 3.60726 | − | 3.02685i | 0.388981 | − | 0.326394i | ||||
\(87\) | −3.91884 | − | 1.09479i | −0.420144 | − | 0.117374i | ||||
\(88\) | 0.676767 | − | 0.390732i | 0.0721436 | − | 0.0416521i | ||||
\(89\) | −15.3353 | − | 5.58160i | −1.62554 | − | 0.591649i | −0.641115 | − | 0.767445i | \(-0.721528\pi\) |
−0.984427 | + | 0.175796i | \(0.943750\pi\) | |||||||
\(90\) | −2.84024 | + | 0.965953i | −0.299387 | + | 0.101820i | ||||
\(91\) | −14.4346 | + | 2.54521i | −1.51316 | + | 0.266811i | ||||
\(92\) | 1.10666 | + | 3.04053i | 0.115378 | + | 0.316997i | ||||
\(93\) | −1.96599 | − | 0.942306i | −0.203864 | − | 0.0977126i | ||||
\(94\) | 1.21383i | 0.125197i | ||||||||
\(95\) | 3.08654 | + | 3.07787i | 0.316672 | + | 0.315783i | ||||
\(96\) | 0.430494 | + | 1.67770i | 0.0439371 | + | 0.171229i | ||||
\(97\) | 3.53989 | − | 4.21868i | 0.359421 | − | 0.428342i | −0.555786 | − | 0.831326i | \(-0.687582\pi\) |
0.915207 | + | 0.402984i | \(0.132027\pi\) | |||||||
\(98\) | −0.445127 | + | 0.162013i | −0.0449646 | + | 0.0163658i | ||||
\(99\) | 1.82751 | − | 1.46846i | 0.183672 | − | 0.147586i | ||||
\(100\) | −0.173648 | + | 0.984808i | −0.0173648 | + | 0.0984808i | ||||
\(101\) | 3.47778 | − | 9.55513i | 0.346052 | − | 0.950771i | −0.637548 | − | 0.770410i | \(-0.720051\pi\) |
0.983601 | − | 0.180361i | \(-0.0577265\pi\) | |||||||
\(102\) | −4.06897 | − | 4.15633i | −0.402888 | − | 0.411538i | ||||
\(103\) | −10.1752 | − | 5.87466i | −1.00259 | − | 0.578847i | −0.0935782 | − | 0.995612i | \(-0.529831\pi\) |
−0.909014 | + | 0.416765i | \(0.863164\pi\) | |||||||
\(104\) | −3.44631 | − | 4.10715i | −0.337938 | − | 0.402739i | ||||
\(105\) | 2.75698 | − | 3.84970i | 0.269053 | − | 0.375692i | ||||
\(106\) | −2.57828 | + | 4.46571i | −0.250425 | + | 0.433748i | ||||
\(107\) | 0.672386 | + | 1.16461i | 0.0650020 | + | 0.112587i | 0.896695 | − | 0.442649i | \(-0.145961\pi\) |
−0.831693 | + | 0.555236i | \(0.812628\pi\) | |||||||
\(108\) | 2.04485 | + | 4.77688i | 0.196766 | + | 0.459655i | ||||
\(109\) | −5.09821 | − | 0.898952i | −0.488320 | − | 0.0861040i | −0.0759334 | − | 0.997113i | \(-0.524194\pi\) |
−0.412387 | + | 0.911009i | \(0.635305\pi\) | |||||||
\(110\) | −0.135700 | − | 0.769591i | −0.0129385 | − | 0.0733776i | ||||
\(111\) | 11.4403 | − | 7.83081i | 1.08586 | − | 0.743268i | ||||
\(112\) | −2.09422 | − | 1.75726i | −0.197885 | − | 0.166045i | ||||
\(113\) | −1.25063 | −0.117649 | −0.0588246 | − | 0.998268i | \(-0.518735\pi\) | ||||
−0.0588246 | + | 0.998268i | \(0.518735\pi\) | |||||||
\(114\) | 4.90602 | − | 5.73855i | 0.459491 | − | 0.537464i | ||||
\(115\) | 3.23566 | 0.301727 | ||||||||
\(116\) | 1.79957 | + | 1.51002i | 0.167086 | + | 0.140202i | ||||
\(117\) | −12.0991 | − | 10.5983i | −1.11856 | − | 0.979812i | ||||
\(118\) | −0.596919 | − | 3.38529i | −0.0549508 | − | 0.311642i | ||||
\(119\) | 9.04106 | + | 1.59418i | 0.828793 | + | 0.146139i | ||||
\(120\) | 1.72376 | + | 0.169275i | 0.157357 | + | 0.0154526i | ||||
\(121\) | −5.19466 | − | 8.99741i | −0.472242 | − | 0.817946i | ||||
\(122\) | 3.41319 | − | 5.91181i | 0.309015 | − | 0.535230i | ||||
\(123\) | 11.5154 | + | 8.24683i | 1.03831 | + | 0.743592i | ||||
\(124\) | 0.809085 | + | 0.964230i | 0.0726580 | + | 0.0865904i | ||||
\(125\) | 0.866025 | + | 0.500000i | 0.0774597 | + | 0.0447214i | ||||
\(126\) | −7.01394 | − | 4.25064i | −0.624851 | − | 0.378677i | ||||
\(127\) | −7.30812 | + | 20.0789i | −0.648491 | + | 1.78171i | −0.0252542 | + | 0.999681i | \(0.508040\pi\) |
−0.623237 | + | 0.782033i | \(0.714183\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −7.42816 | + | 3.36823i | −0.654013 | + | 0.296556i | ||||
\(130\) | −5.03816 | + | 1.83374i | −0.441876 | + | 0.160830i | ||||
\(131\) | 8.27650 | − | 9.86355i | 0.723122 | − | 0.861783i | −0.271809 | − | 0.962351i | \(-0.587622\pi\) |
0.994930 | + | 0.100569i | \(0.0320662\pi\) | |||||||
\(132\) | −1.31106 | + | 0.336415i | −0.114113 | + | 0.0292812i | ||||
\(133\) | −1.02188 | + | 11.8725i | −0.0886081 | + | 1.02948i | ||||
\(134\) | 8.35374i | 0.721653i | ||||||||
\(135\) | 5.18818 | − | 0.287743i | 0.446527 | − | 0.0247650i | ||||
\(136\) | 1.14856 | + | 3.15563i | 0.0984879 | + | 0.270593i | ||||
\(137\) | −17.8980 | + | 3.15589i | −1.52913 | + | 0.269626i | −0.874012 | − | 0.485904i | \(-0.838490\pi\) |
−0.655114 | + | 0.755530i | \(0.727379\pi\) | |||||||
\(138\) | −0.429129 | − | 5.58788i | −0.0365299 | − | 0.475672i | ||||
\(139\) | −4.26956 | − | 1.55399i | −0.362140 | − | 0.131808i | 0.154541 | − | 0.987986i | \(-0.450610\pi\) |
−0.516680 | + | 0.856178i | \(0.672832\pi\) | |||||||
\(140\) | −2.36755 | + | 1.36690i | −0.200094 | + | 0.115524i | ||||
\(141\) | 0.565680 | − | 2.02488i | 0.0476389 | − | 0.170525i | ||||
\(142\) | 11.3338 | − | 9.51018i | 0.951110 | − | 0.798076i | ||||
\(143\) | 3.20959 | − | 2.69316i | 0.268399 | − | 0.225214i | ||||
\(144\) | 0.0637190 | − | 2.99932i | 0.00530991 | − | 0.249944i | ||||
\(145\) | 2.03444 | − | 1.17459i | 0.168951 | − | 0.0975442i | ||||
\(146\) | −5.90744 | − | 2.15013i | −0.488904 | − | 0.177946i | ||||
\(147\) | 0.818053 | − | 0.0628234i | 0.0674719 | − | 0.00518159i | ||||
\(148\) | −7.88259 | + | 1.38991i | −0.647945 | + | 0.114250i | ||||
\(149\) | 7.53994 | + | 20.7158i | 0.617696 | + | 1.69710i | 0.712557 | + | 0.701614i | \(0.247537\pi\) |
−0.0948614 | + | 0.995490i | \(0.530241\pi\) | |||||||
\(150\) | 0.748627 | − | 1.56191i | 0.0611251 | − | 0.127529i | ||||
\(151\) | − | 0.916825i | − | 0.0746101i | −0.999304 | − | 0.0373051i | \(-0.988123\pi\) | ||
0.999304 | − | 0.0373051i | \(-0.0118773\pi\) | |||||||
\(152\) | −3.94791 | + | 1.84771i | −0.320218 | + | 0.149869i | ||||
\(153\) | 4.85078 | + | 8.82976i | 0.392163 | + | 0.713844i | ||||
\(154\) | 1.37323 | − | 1.63655i | 0.110658 | − | 0.131877i | ||||
\(155\) | 1.18280 | − | 0.430505i | 0.0950050 | − | 0.0345790i | ||||
\(156\) | 3.83499 | + | 8.45754i | 0.307045 | + | 0.677145i | ||||
\(157\) | 0.581587 | − | 3.29835i | 0.0464157 | − | 0.263237i | −0.952765 | − | 0.303709i | \(-0.901775\pi\) |
0.999181 | + | 0.0404720i | \(0.0128862\pi\) | |||||||
\(158\) | 0.164078 | − | 0.450801i | 0.0130533 | − | 0.0358638i | ||||
\(159\) | 6.38218 | − | 6.24804i | 0.506140 | − | 0.495502i | ||||
\(160\) | −0.866025 | − | 0.500000i | −0.0684653 | − | 0.0395285i | ||||
\(161\) | 5.68589 | + | 6.77618i | 0.448111 | + | 0.534038i | ||||
\(162\) | −1.18500 | − | 8.92165i | −0.0931026 | − | 0.700951i | ||||
\(163\) | 1.00331 | − | 1.73778i | 0.0785852 | − | 0.136114i | −0.824055 | − | 0.566510i | \(-0.808293\pi\) |
0.902640 | + | 0.430397i | \(0.141626\pi\) | |||||||
\(164\) | −4.08876 | − | 7.08194i | −0.319278 | − | 0.553007i | ||||
\(165\) | −0.132282 | + | 1.34705i | −0.0102981 | + | 0.104868i | ||||
\(166\) | 15.2497 | + | 2.68893i | 1.18361 | + | 0.208702i | ||||
\(167\) | −2.33587 | − | 13.2474i | −0.180755 | − | 1.02511i | −0.931289 | − | 0.364282i | \(-0.881315\pi\) |
0.750534 | − | 0.660832i | \(-0.229797\pi\) | |||||||
\(168\) | 2.67459 | + | 3.90738i | 0.206349 | + | 0.301461i | ||||
\(169\) | −12.0619 | − | 10.1211i | −0.927839 | − | 0.778549i | ||||
\(170\) | 3.35815 | 0.257559 | ||||||||
\(171\) | −10.8585 | + | 7.28656i | −0.830367 | + | 0.557217i | ||||
\(172\) | 4.70895 | 0.359054 | ||||||||
\(173\) | 17.8302 | + | 14.9613i | 1.35560 | + | 1.13749i | 0.977313 | + | 0.211801i | \(0.0679330\pi\) |
0.378292 | + | 0.925686i | \(0.376511\pi\) | |||||||
\(174\) | −2.29829 | − | 3.35764i | −0.174233 | − | 0.254542i | ||||
\(175\) | 0.474720 | + | 2.69227i | 0.0358855 | + | 0.203517i | ||||
\(176\) | 0.769591 | + | 0.135700i | 0.0580101 | + | 0.0102287i | ||||
\(177\) | −0.581885 | + | 5.92545i | −0.0437372 | + | 0.445384i | ||||
\(178\) | −8.15976 | − | 14.1331i | −0.611600 | − | 1.05932i | ||||
\(179\) | 0.856163 | − | 1.48292i | 0.0639926 | − | 0.110838i | −0.832254 | − | 0.554394i | \(-0.812950\pi\) |
0.896247 | + | 0.443556i | \(0.146283\pi\) | |||||||
\(180\) | −2.79665 | − | 1.08571i | −0.208450 | − | 0.0809237i | ||||
\(181\) | 4.80217 | + | 5.72301i | 0.356943 | + | 0.425388i | 0.914396 | − | 0.404820i | \(-0.132666\pi\) |
−0.557454 | + | 0.830208i | \(0.688222\pi\) | |||||||
\(182\) | −12.6936 | − | 7.32865i | −0.940912 | − | 0.543236i | ||||
\(183\) | −8.44889 | + | 8.27130i | −0.624560 | + | 0.611432i | ||||
\(184\) | −1.10666 | + | 3.04053i | −0.0815842 | + | 0.224151i | ||||
\(185\) | −1.38991 | + | 7.88259i | −0.102188 | + | 0.579539i | ||||
\(186\) | −0.900336 | − | 1.98556i | −0.0660158 | − | 0.145589i | ||||
\(187\) | −2.46601 | + | 0.897554i | −0.180333 | + | 0.0656357i | ||||
\(188\) | −0.780232 | + | 0.929844i | −0.0569043 | + | 0.0678159i | ||||
\(189\) | 9.71956 | + | 10.3595i | 0.706994 | + | 0.753545i | ||||
\(190\) | 0.386012 | + | 4.34177i | 0.0280042 | + | 0.314985i | ||||
\(191\) | − | 4.87308i | − | 0.352604i | −0.984336 | − | 0.176302i | \(-0.943587\pi\) | ||
0.984336 | − | 0.176302i | \(-0.0564135\pi\) | |||||||
\(192\) | −0.748627 | + | 1.56191i | −0.0540275 | + | 0.112721i | ||||
\(193\) | 1.34677 | + | 3.70022i | 0.0969425 | + | 0.266347i | 0.978679 | − | 0.205394i | \(-0.0658477\pi\) |
−0.881737 | + | 0.471742i | \(0.843625\pi\) | |||||||
\(194\) | 5.42343 | − | 0.956297i | 0.389379 | − | 0.0686581i | ||||
\(195\) | 9.25913 | − | 0.711067i | 0.663060 | − | 0.0509205i | ||||
\(196\) | −0.445127 | − | 0.162013i | −0.0317948 | − | 0.0115723i | ||||
\(197\) | 22.0891 | − | 12.7532i | 1.57378 | − | 0.908625i | 0.578085 | − | 0.815976i | \(-0.303800\pi\) |
0.995699 | − | 0.0926482i | \(-0.0295332\pi\) | |||||||
\(198\) | 2.34386 | + | 0.0497940i | 0.166571 | + | 0.00353871i | ||||
\(199\) | 15.2010 | − | 12.7551i | 1.07757 | − | 0.904188i | 0.0818523 | − | 0.996644i | \(-0.473916\pi\) |
0.995717 | + | 0.0924567i | \(0.0294720\pi\) | |||||||
\(200\) | −0.766044 | + | 0.642788i | −0.0541675 | + | 0.0454519i | ||||
\(201\) | 3.89310 | − | 13.9355i | 0.274598 | − | 0.982936i | ||||
\(202\) | 8.80606 | − | 5.08418i | 0.619592 | − | 0.357722i | ||||
\(203\) | 6.03488 | + | 2.19652i | 0.423566 | + | 0.154165i | ||||
\(204\) | −0.445373 | − | 5.79942i | −0.0311824 | − | 0.406040i | ||||
\(205\) | −8.05328 | + | 1.42001i | −0.562466 | + | 0.0991779i | ||||
\(206\) | −4.01850 | − | 11.0407i | −0.279982 | − | 0.769245i | ||||
\(207\) | −1.88826 | + | 9.52157i | −0.131243 | + | 0.661795i | ||||
\(208\) | − | 5.36150i | − | 0.371753i | ||||||
\(209\) | −1.44391 | − | 3.08515i | −0.0998777 | − | 0.213404i | ||||
\(210\) | 4.58650 | − | 1.17689i | 0.316499 | − | 0.0812129i | ||||
\(211\) | 13.0204 | − | 15.5172i | 0.896364 | − | 1.06825i | −0.100942 | − | 0.994892i | \(-0.532186\pi\) |
0.997306 | − | 0.0733527i | \(-0.0233699\pi\) | |||||||
\(212\) | −4.84558 | + | 1.76365i | −0.332796 | + | 0.121128i | ||||
\(213\) | −23.3388 | + | 10.5828i | −1.59915 | + | 0.725119i | ||||
\(214\) | −0.233517 | + | 1.32434i | −0.0159629 | + | 0.0905301i | ||||
\(215\) | 1.61056 | − | 4.42496i | 0.109839 | − | 0.301780i | ||||
\(216\) | −1.50407 | + | 4.97371i | −0.102339 | + | 0.338418i | ||||
\(217\) | 2.98006 | + | 1.72054i | 0.202300 | + | 0.116798i | ||||
\(218\) | −3.32762 | − | 3.96571i | −0.225375 | − | 0.268591i | ||||
\(219\) | 8.85263 | + | 6.33985i | 0.598206 | + | 0.428408i | ||||
\(220\) | 0.390732 | − | 0.676767i | 0.0263431 | − | 0.0456276i | ||||
\(221\) | 9.00237 | + | 15.5926i | 0.605565 | + | 1.04887i | ||||
\(222\) | 13.7973 | + | 1.35491i | 0.926014 | + | 0.0909354i | ||||
\(223\) | 24.1851 | + | 4.26449i | 1.61956 | + | 0.285571i | 0.908601 | − | 0.417666i | \(-0.137152\pi\) |
0.710955 | + | 0.703237i | \(0.248263\pi\) | |||||||
\(224\) | −0.474720 | − | 2.69227i | −0.0317186 | − | 0.179885i | ||||
\(225\) | −1.97674 | + | 2.25666i | −0.131783 | + | 0.150444i | ||||
\(226\) | −0.958036 | − | 0.803888i | −0.0637276 | − | 0.0534738i | ||||
\(227\) | −12.9486 | −0.859427 | −0.429714 | − | 0.902965i | \(-0.641385\pi\) | ||||
−0.429714 | + | 0.902965i | \(0.641385\pi\) | |||||||
\(228\) | 7.44690 | − | 1.24245i | 0.493183 | − | 0.0822836i | ||||
\(229\) | 17.5070 | 1.15690 | 0.578449 | − | 0.815719i | \(-0.303658\pi\) | ||||
0.578449 | + | 0.815719i | \(0.303658\pi\) | |||||||
\(230\) | 2.47866 | + | 2.07985i | 0.163438 | + | 0.137141i | ||||
\(231\) | −3.05348 | + | 2.09009i | −0.200904 | + | 0.137518i | ||||
\(232\) | 0.407930 | + | 2.31349i | 0.0267819 | + | 0.151888i | ||||
\(233\) | −29.1821 | − | 5.14558i | −1.91178 | − | 0.337098i | −0.914118 | − | 0.405448i | \(-0.867116\pi\) |
−0.997661 | + | 0.0683492i | \(0.978227\pi\) | |||||||
\(234\) | −2.45598 | − | 15.8959i | −0.160552 | − | 1.03915i | ||||
\(235\) | 0.606913 | + | 1.05120i | 0.0395906 | + | 0.0685730i | ||||
\(236\) | 1.71876 | − | 2.97698i | 0.111882 | − | 0.193785i | ||||
\(237\) | −0.483798 | + | 0.675550i | −0.0314261 | + | 0.0438817i | ||||
\(238\) | 5.90114 | + | 7.03270i | 0.382514 | + | 0.455862i | ||||
\(239\) | −1.73420 | − | 1.00124i | −0.112176 | − | 0.0647649i | 0.442862 | − | 0.896590i | \(-0.353963\pi\) |
−0.555038 | + | 0.831825i | \(0.687296\pi\) | |||||||
\(240\) | 1.21167 | + | 1.23768i | 0.0782129 | + | 0.0798921i | ||||
\(241\) | 2.13395 | − | 5.86298i | 0.137460 | − | 0.377668i | −0.851794 | − | 0.523877i | \(-0.824485\pi\) |
0.989254 | + | 0.146209i | \(0.0467073\pi\) | |||||||
\(242\) | 1.80409 | − | 10.2315i | 0.115971 | − | 0.657704i | ||||
\(243\) | −2.18097 | + | 15.4351i | −0.139909 | + | 0.990164i | ||||
\(244\) | 6.41469 | − | 2.33476i | 0.410659 | − | 0.149467i | ||||
\(245\) | −0.304484 | + | 0.362870i | −0.0194528 | + | 0.0231829i | ||||
\(246\) | 3.52037 | + | 13.7194i | 0.224451 | + | 0.874718i | ||||
\(247\) | −19.1249 | + | 13.4315i | −1.21689 | + | 0.854629i | ||||
\(248\) | 1.25871i | 0.0799283i | ||||||||
\(249\) | −24.1861 | − | 11.5924i | −1.53273 | − | 0.734641i | ||||
\(250\) | 0.342020 | + | 0.939693i | 0.0216313 | + | 0.0594314i | ||||
\(251\) | 7.20190 | − | 1.26989i | 0.454580 | − | 0.0801547i | 0.0583300 | − | 0.998297i | \(-0.481422\pi\) |
0.396250 | + | 0.918143i | \(0.370311\pi\) | |||||||
\(252\) | −2.64073 | − | 7.76465i | −0.166350 | − | 0.489127i | ||||
\(253\) | −2.37606 | − | 0.864816i | −0.149382 | − | 0.0543705i | ||||
\(254\) | −18.5048 | + | 10.6838i | −1.16110 | + | 0.670359i | ||||
\(255\) | −5.60199 | − | 1.56500i | −0.350810 | − | 0.0980043i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −16.4509 | + | 13.8039i | −1.02618 | + | 0.861065i | −0.990391 | − | 0.138294i | \(-0.955838\pi\) |
−0.0357863 | + | 0.999359i | \(0.511394\pi\) | |||||||
\(258\) | −7.85536 | − | 2.19452i | −0.489053 | − | 0.136625i | ||||
\(259\) | −18.9503 | + | 10.9409i | −1.17751 | + | 0.679837i | ||||
\(260\) | −5.03816 | − | 1.83374i | −0.312454 | − | 0.113724i | ||||
\(261\) | 2.26919 | + | 6.67221i | 0.140459 | + | 0.412999i | ||||
\(262\) | 12.6803 | − | 2.23589i | 0.783394 | − | 0.138134i | ||||
\(263\) | 3.24002 | + | 8.90187i | 0.199788 | + | 0.548913i | 0.998613 | − | 0.0526506i | \(-0.0167670\pi\) |
−0.798825 | + | 0.601563i | \(0.794545\pi\) | |||||||
\(264\) | −1.22057 | − | 0.585024i | −0.0751212 | − | 0.0360058i | ||||
\(265\) | 5.15656i | 0.316765i | ||||||||
\(266\) | −8.41429 | + | 8.43800i | −0.515913 | + | 0.517367i | ||||
\(267\) | 7.02546 | + | 27.3792i | 0.429951 | + | 1.67558i | ||||
\(268\) | −5.36968 | + | 6.39933i | −0.328005 | + | 0.390902i | ||||
\(269\) | −14.2677 | + | 5.19301i | −0.869916 | + | 0.316624i | −0.738133 | − | 0.674655i | \(-0.764292\pi\) |
−0.131783 | + | 0.991279i | \(0.542070\pi\) | |||||||
\(270\) | 4.15933 | + | 3.11447i | 0.253129 | + | 0.189541i | ||||
\(271\) | −1.85456 | + | 10.5177i | −0.112656 | + | 0.638907i | 0.875227 | + | 0.483712i | \(0.160712\pi\) |
−0.987884 | + | 0.155195i | \(0.950399\pi\) | |||||||
\(272\) | −1.14856 | + | 3.15563i | −0.0696414 | + | 0.191338i | ||||
\(273\) | 17.7598 | + | 18.1411i | 1.07487 | + | 1.09795i | ||||
\(274\) | −15.7392 | − | 9.08703i | −0.950840 | − | 0.548968i | ||||
\(275\) | −0.502315 | − | 0.598636i | −0.0302907 | − | 0.0360991i | ||||
\(276\) | 3.26309 | − | 4.55640i | 0.196415 | − | 0.274263i | ||||
\(277\) | −1.38012 | + | 2.39044i | −0.0829236 | + | 0.143628i | −0.904505 | − | 0.426464i | \(-0.859759\pi\) |
0.821581 | + | 0.570092i | \(0.193092\pi\) | |||||||
\(278\) | −2.27179 | − | 3.93485i | −0.136253 | − | 0.235997i | ||||
\(279\) | 0.576586 | + | 3.73186i | 0.0345193 | + | 0.223420i | ||||
\(280\) | −2.69227 | − | 0.474720i | −0.160894 | − | 0.0283700i | ||||
\(281\) | −3.26591 | − | 18.5219i | −0.194828 | − | 1.10492i | −0.912664 | − | 0.408710i | \(-0.865979\pi\) |
0.717837 | − | 0.696212i | \(-0.245133\pi\) | |||||||
\(282\) | 1.73490 | − | 1.18753i | 0.103312 | − | 0.0707166i | ||||
\(283\) | −4.18546 | − | 3.51201i | −0.248800 | − | 0.208768i | 0.509856 | − | 0.860260i | \(-0.329699\pi\) |
−0.758655 | + | 0.651492i | \(0.774143\pi\) | |||||||
\(284\) | 14.7952 | 0.877934 | ||||||||
\(285\) | 1.37946 | − | 7.42274i | 0.0817124 | − | 0.439685i | ||||
\(286\) | 4.18982 | 0.247749 | ||||||||
\(287\) | −17.1255 | − | 14.3700i | −1.01089 | − | 0.848234i | ||||
\(288\) | 1.97674 | − | 2.25666i | 0.116480 | − | 0.132975i | ||||
\(289\) | 0.993755 | + | 5.63587i | 0.0584562 | + | 0.331522i | ||||
\(290\) | 2.31349 | + | 0.407930i | 0.135853 | + | 0.0239545i | ||||
\(291\) | −9.49290 | − | 0.932212i | −0.556484 | − | 0.0546472i | ||||
\(292\) | −3.14329 | − | 5.44433i | −0.183947 | − | 0.318605i | ||||
\(293\) | 9.61474 | − | 16.6532i | 0.561699 | − | 0.972892i | −0.435649 | − | 0.900117i | \(-0.643481\pi\) |
0.997348 | − | 0.0727750i | \(-0.0231855\pi\) | |||||||
\(294\) | 0.667047 | + | 0.477709i | 0.0389030 | + | 0.0278605i | ||||
\(295\) | −2.20959 | − | 2.63329i | −0.128648 | − | 0.153316i | ||||
\(296\) | −6.93183 | − | 4.00209i | −0.402904 | − | 0.232617i | ||||
\(297\) | −3.88677 | − | 1.17538i | −0.225533 | − | 0.0682023i | ||||
\(298\) | −7.53994 | + | 20.7158i | −0.436777 | + | 1.20003i | ||||
\(299\) | −3.01245 | + | 17.0845i | −0.174215 | + | 0.988020i | ||||
\(300\) | 1.57746 | − | 0.715283i | 0.0910745 | − | 0.0412969i | ||||
\(301\) | 12.0970 | − | 4.40295i | 0.697259 | − | 0.253782i | ||||
\(302\) | 0.589324 | − | 0.702329i | 0.0339118 | − | 0.0404145i | ||||
\(303\) | −17.0594 | + | 4.37742i | −0.980040 | + | 0.251476i | ||||
\(304\) | −4.21196 | − | 1.12224i | −0.241572 | − | 0.0643650i | ||||
\(305\) | − | 6.82637i | − | 0.390877i | ||||||
\(306\) | −1.95974 | + | 9.88201i | −0.112031 | + | 0.564917i | ||||
\(307\) | −6.13513 | − | 16.8561i | −0.350150 | − | 0.962030i | −0.982322 | − | 0.187201i | \(-0.940058\pi\) |
0.632171 | − | 0.774829i | \(-0.282164\pi\) | |||||||
\(308\) | 2.10391 | − | 0.370977i | 0.119882 | − | 0.0211384i | ||||
\(309\) | 1.55825 | + | 20.2907i | 0.0886456 | + | 1.15430i | ||||
\(310\) | 1.18280 | + | 0.430505i | 0.0671787 | + | 0.0244510i | ||||
\(311\) | 2.62998 | − | 1.51842i | 0.149133 | − | 0.0861018i | −0.423577 | − | 0.905860i | \(-0.639226\pi\) |
0.572710 | + | 0.819758i | \(0.305892\pi\) | |||||||
\(312\) | −2.49862 | + | 8.94394i | −0.141457 | + | 0.506351i | ||||
\(313\) | 22.5115 | − | 18.8894i | 1.27243 | − | 1.06769i | 0.278184 | − | 0.960528i | \(-0.410268\pi\) |
0.994241 | − | 0.107164i | \(-0.0341769\pi\) | |||||||
\(314\) | 2.56566 | − | 2.15284i | 0.144788 | − | 0.121492i | ||||
\(315\) | −8.19957 | − | 0.174195i | −0.461993 | − | 0.00981479i | ||||
\(316\) | 0.415460 | − | 0.239866i | 0.0233715 | − | 0.0134935i | ||||
\(317\) | 2.81681 | + | 1.02523i | 0.158208 | + | 0.0575829i | 0.419910 | − | 0.907566i | \(-0.362062\pi\) |
−0.261702 | + | 0.965149i | \(0.584284\pi\) | |||||||
\(318\) | 8.90520 | − | 0.683886i | 0.499379 | − | 0.0383504i | ||||
\(319\) | −1.80790 | + | 0.318782i | −0.101223 | + | 0.0178484i | ||||
\(320\) | −0.342020 | − | 0.939693i | −0.0191195 | − | 0.0525304i | ||||
\(321\) | 1.00673 | − | 2.10041i | 0.0561903 | − | 0.117233i | ||||
\(322\) | 8.84568i | 0.492950i | ||||||||
\(323\) | 14.1337 | − | 3.80844i | 0.786422 | − | 0.211907i | ||||
\(324\) | 4.82696 | − | 7.59608i | 0.268164 | − | 0.422005i | ||||
\(325\) | −3.44631 | + | 4.10715i | −0.191167 | + | 0.227824i | ||||
\(326\) | 1.88560 | − | 0.686304i | 0.104434 | − | 0.0380108i | ||||
\(327\) | 3.70292 | + | 8.16627i | 0.204772 | + | 0.451596i | ||||
\(328\) | 1.42001 | − | 8.05328i | 0.0784070 | − | 0.444668i | ||||
\(329\) | −1.13495 | + | 3.11824i | −0.0625717 | + | 0.171914i | ||||
\(330\) | −0.967204 | + | 0.946875i | −0.0532428 | + | 0.0521237i | ||||
\(331\) | 6.58443 | + | 3.80152i | 0.361913 | + | 0.208950i | 0.669919 | − | 0.742434i | \(-0.266329\pi\) |
−0.308007 | + | 0.951384i | \(0.599662\pi\) | |||||||
\(332\) | 9.95353 | + | 11.8622i | 0.546271 | + | 0.651020i | ||||
\(333\) | −22.3849 | − | 8.69019i | −1.22669 | − | 0.476219i | ||||
\(334\) | 6.72588 | − | 11.6496i | 0.368024 | − | 0.637436i | ||||
\(335\) | 4.17687 | + | 7.23455i | 0.228207 | + | 0.395266i | ||||
\(336\) | −0.462764 | + | 4.71242i | −0.0252459 | + | 0.257084i | ||||
\(337\) | 5.98487 | + | 1.05529i | 0.326016 | + | 0.0574855i | 0.334261 | − | 0.942481i | \(-0.391513\pi\) |
−0.00824465 | + | 0.999966i | \(0.502624\pi\) | |||||||
\(338\) | −2.73421 | − | 15.5065i | −0.148722 | − | 0.843442i | ||||
\(339\) | 1.22354 | + | 1.78750i | 0.0664534 | + | 0.0970838i | ||||
\(340\) | 2.57249 | + | 2.15858i | 0.139513 | + | 0.117065i | ||||
\(341\) | −0.983638 | −0.0532670 | ||||||||
\(342\) | −13.0018 | − | 1.39785i | −0.703055 | − | 0.0755870i | ||||
\(343\) | 17.8417 | 0.963359 | ||||||||
\(344\) | 3.60726 | + | 3.02685i | 0.194491 | + | 0.163197i | ||||
\(345\) | −3.16558 | − | 4.62468i | −0.170429 | − | 0.248985i | ||||
\(346\) | 4.04178 | + | 22.9221i | 0.217287 | + | 1.23230i | ||||
\(347\) | 33.8617 | + | 5.97073i | 1.81779 | + | 0.320526i | 0.975750 | − | 0.218888i | \(-0.0702429\pi\) |
0.842041 | + | 0.539413i | \(0.181354\pi\) | |||||||
\(348\) | 0.397656 | − | 4.04941i | 0.0213166 | − | 0.217071i | ||||
\(349\) | −6.95446 | − | 12.0455i | −0.372264 | − | 0.644780i | 0.617650 | − | 0.786453i | \(-0.288085\pi\) |
−0.989913 | + | 0.141674i | \(0.954752\pi\) | |||||||
\(350\) | −1.36690 | + | 2.36755i | −0.0730640 | + | 0.126551i | ||||
\(351\) | −3.31097 | + | 27.6617i | −0.176727 | + | 1.47647i | ||||
\(352\) | 0.502315 | + | 0.598636i | 0.0267735 | + | 0.0319074i | ||||
\(353\) | 15.5839 | + | 8.99739i | 0.829450 | + | 0.478883i | 0.853664 | − | 0.520824i | \(-0.174375\pi\) |
−0.0242146 | + | 0.999707i | \(0.507709\pi\) | |||||||
\(354\) | −4.25456 | + | 4.16513i | −0.226127 | + | 0.221374i | ||||
\(355\) | 5.06026 | − | 13.9029i | 0.268571 | − | 0.737892i | ||||
\(356\) | 2.83385 | − | 16.0716i | 0.150194 | − | 0.851792i | ||||
\(357\) | −6.56669 | − | 14.4819i | −0.347546 | − | 0.766463i | ||||
\(358\) | 1.60906 | − | 0.585650i | 0.0850415 | − | 0.0309526i | ||||
\(359\) | −22.2073 | + | 26.4656i | −1.17206 | + | 1.39680i | −0.271291 | + | 0.962497i | \(0.587450\pi\) |
−0.900766 | + | 0.434305i | \(0.856994\pi\) | |||||||
\(360\) | −1.44448 | − | 2.62935i | −0.0761307 | − | 0.138579i | ||||
\(361\) | 6.54859 | + | 17.8358i | 0.344663 | + | 0.938727i | ||||
\(362\) | 7.47085i | 0.392659i | ||||||||
\(363\) | −7.77772 | + | 16.2272i | −0.408224 | + | 0.851705i | ||||
\(364\) | −5.01309 | − | 13.7734i | −0.262757 | − | 0.721920i | ||||
\(365\) | −6.19106 | + | 1.09165i | −0.324055 | + | 0.0571397i | ||||
\(366\) | −11.7889 | + | 0.905345i | −0.616216 | + | 0.0473231i | ||||
\(367\) | −12.7836 | − | 4.65286i | −0.667300 | − | 0.242877i | −0.0139152 | − | 0.999903i | \(-0.504429\pi\) |
−0.653385 | + | 0.757026i | \(0.726652\pi\) | |||||||
\(368\) | −2.80217 | + | 1.61783i | −0.146073 | + | 0.0843353i | ||||
\(369\) | 0.521063 | − | 24.5270i | 0.0271255 | − | 1.27683i | ||||
\(370\) | −6.13156 | + | 5.14499i | −0.318765 | + | 0.267475i | ||||
\(371\) | −10.7989 | + | 9.06139i | −0.560654 | + | 0.470444i | ||||
\(372\) | 0.586599 | − | 2.09976i | 0.0304137 | − | 0.108867i | ||||
\(373\) | 8.82576 | − | 5.09556i | 0.456981 | − | 0.263838i | −0.253793 | − | 0.967258i | \(-0.581678\pi\) |
0.710774 | + | 0.703421i | \(0.248345\pi\) | |||||||
\(374\) | −2.46601 | − | 0.897554i | −0.127514 | − | 0.0464114i | ||||
\(375\) | −0.132625 | − | 1.72697i | −0.00684870 | − | 0.0891801i | ||||
\(376\) | −1.19539 | + | 0.210779i | −0.0616473 | + | 0.0108701i | ||||
\(377\) | 4.30778 | + | 11.8355i | 0.221862 | + | 0.609561i | ||||
\(378\) | 0.786634 | + | 14.1835i | 0.0404601 | + | 0.729519i | ||||
\(379\) | 19.8032i | 1.01722i | 0.860997 | + | 0.508610i | \(0.169841\pi\) | ||||
−0.860997 | + | 0.508610i | \(0.830159\pi\) | |||||||
\(380\) | −2.49514 | + | 3.57411i | −0.127998 | + | 0.183348i | ||||
\(381\) | 35.8483 | − | 9.19859i | 1.83656 | − | 0.471258i | ||||
\(382\) | 3.13235 | − | 3.73300i | 0.160265 | − | 0.190997i | ||||
\(383\) | 4.16337 | − | 1.51534i | 0.212739 | − | 0.0774305i | −0.233453 | − | 0.972368i | \(-0.575002\pi\) |
0.446191 | + | 0.894938i | \(0.352780\pi\) | |||||||
\(384\) | −1.57746 | + | 0.715283i | −0.0804993 | + | 0.0365017i | ||||
\(385\) | 0.370977 | − | 2.10391i | 0.0189067 | − | 0.107225i | ||||
\(386\) | −1.34677 | + | 3.70022i | −0.0685487 | + | 0.188336i | ||||
\(387\) | 12.0814 | + | 7.32168i | 0.614133 | + | 0.372182i | ||||
\(388\) | 4.76928 | + | 2.75355i | 0.242124 | + | 0.139790i | ||||
\(389\) | −21.6298 | − | 25.7774i | −1.09668 | − | 1.30697i | −0.948067 | − | 0.318071i | \(-0.896965\pi\) |
−0.148609 | − | 0.988896i | \(-0.547480\pi\) | |||||||
\(390\) | 7.54997 | + | 5.40695i | 0.382308 | + | 0.273791i | ||||
\(391\) | 5.43293 | − | 9.41011i | 0.274755 | − | 0.475890i | ||||
\(392\) | −0.236847 | − | 0.410231i | −0.0119626 | − | 0.0207198i | ||||
\(393\) | −22.1950 | − | 2.17957i | −1.11959 | − | 0.109945i | ||||
\(394\) | 25.1188 | + | 4.42912i | 1.26547 | + | 0.223136i | ||||
\(395\) | −0.0833046 | − | 0.472444i | −0.00419151 | − | 0.0237712i | ||||
\(396\) | 1.76349 | + | 1.54475i | 0.0886190 | + | 0.0776266i | ||||
\(397\) | 27.1366 | + | 22.7703i | 1.36195 | + | 1.14281i | 0.975376 | + | 0.220551i | \(0.0707854\pi\) |
0.386572 | + | 0.922259i | \(0.373659\pi\) | |||||||
\(398\) | 19.8435 | 0.994663 | ||||||||
\(399\) | 17.9689 | − | 10.1548i | 0.899570 | − | 0.508374i | ||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | 15.6099 | + | 13.0983i | 0.779523 | + | 0.654097i | 0.943128 | − | 0.332428i | \(-0.107868\pi\) |
−0.163606 | + | 0.986526i | \(0.552312\pi\) | |||||||
\(402\) | 11.9399 | − | 8.17279i | 0.595506 | − | 0.407622i | ||||
\(403\) | 1.17188 | + | 6.64606i | 0.0583755 | + | 0.331064i | ||||
\(404\) | 10.0139 | + | 1.76572i | 0.498209 | + | 0.0878477i | ||||
\(405\) | −5.48707 | − | 7.13387i | −0.272654 | − | 0.354485i | ||||
\(406\) | 3.21109 | + | 5.56178i | 0.159364 | + | 0.276026i | ||||
\(407\) | 3.12749 | − | 5.41697i | 0.155024 | − | 0.268509i | ||||
\(408\) | 3.38662 | − | 4.72889i | 0.167662 | − | 0.234115i | ||||
\(409\) | −19.7124 | − | 23.4924i | −0.974717 | − | 1.16162i | −0.986841 | − | 0.161696i | \(-0.948304\pi\) |
0.0121238 | − | 0.999927i | \(-0.496141\pi\) | |||||||
\(410\) | −7.08194 | − | 4.08876i | −0.349752 | − | 0.201929i | ||||
\(411\) | 22.0209 | + | 22.4937i | 1.08621 | + | 1.10953i | ||||
\(412\) | 4.01850 | − | 11.0407i | 0.197977 | − | 0.543938i | ||||
\(413\) | 1.63186 | − | 9.25474i | 0.0802986 | − | 0.455396i | ||||
\(414\) | −7.56684 | + | 6.08019i | −0.371890 | + | 0.298825i | ||||
\(415\) | 14.5511 | − | 5.29616i | 0.714285 | − | 0.259978i | ||||
\(416\) | 3.44631 | − | 4.10715i | 0.168969 | − | 0.201370i | ||||
\(417\) | 1.95598 | + | 7.62275i | 0.0957848 | + | 0.373288i | ||||
\(418\) | 0.876991 | − | 3.29149i | 0.0428950 | − | 0.160992i | ||||
\(419\) | 16.0705i | 0.785096i | 0.919732 | + | 0.392548i | \(0.128406\pi\) | ||||
−0.919732 | + | 0.392548i | \(0.871594\pi\) | |||||||
\(420\) | 4.26995 | + | 2.04660i | 0.208352 | + | 0.0998638i | ||||
\(421\) | −11.7063 | − | 32.1628i | −0.570530 | − | 1.56752i | −0.803670 | − | 0.595076i | \(-0.797122\pi\) |
0.233140 | − | 0.972443i | \(-0.425100\pi\) | |||||||
\(422\) | 19.9485 | − | 3.51745i | 0.971076 | − | 0.171227i | ||||
\(423\) | −3.44755 | + | 1.17250i | −0.167626 | + | 0.0570088i | ||||
\(424\) | −4.84558 | − | 1.76365i | −0.235322 | − | 0.0856503i | ||||
\(425\) | 2.90825 | − | 1.67908i | 0.141071 | − | 0.0814472i | ||||
\(426\) | −24.6810 | − | 6.89502i | −1.19580 | − | 0.334065i | ||||
\(427\) | 14.2959 | − | 11.9957i | 0.691827 | − | 0.580512i | ||||
\(428\) | −1.03015 | + | 0.864402i | −0.0497944 | + | 0.0417825i | ||||
\(429\) | −6.98936 | − | 1.95258i | −0.337449 | − | 0.0942716i | ||||
\(430\) | 4.07807 | − | 2.35447i | 0.196662 | − | 0.113543i | ||||
\(431\) | −22.7948 | − | 8.29665i | −1.09799 | − | 0.399635i | −0.271415 | − | 0.962463i | \(-0.587491\pi\) |
−0.826575 | + | 0.562827i | \(0.809714\pi\) | |||||||
\(432\) | −4.34922 | + | 2.84328i | −0.209252 | + | 0.136798i | ||||
\(433\) | 14.7958 | − | 2.60889i | 0.711038 | − | 0.125375i | 0.193581 | − | 0.981084i | \(-0.437990\pi\) |
0.517457 | + | 0.855709i | \(0.326879\pi\) | |||||||
\(434\) | 1.17692 | + | 3.23355i | 0.0564938 | + | 0.155216i | ||||
\(435\) | −3.66920 | − | 1.75865i | −0.175924 | − | 0.0843210i | ||||
\(436\) | − | 5.17686i | − | 0.247927i | ||||||
\(437\) | 12.7909 | + | 5.94259i | 0.611871 | + | 0.284273i | ||||
\(438\) | 2.70633 | + | 10.5470i | 0.129314 | + | 0.503954i | ||||
\(439\) | 21.2655 | − | 25.3432i | 1.01494 | − | 1.20956i | 0.0372990 | − | 0.999304i | \(-0.488125\pi\) |
0.977646 | − | 0.210260i | \(-0.0674310\pi\) | |||||||
\(440\) | 0.734335 | − | 0.267276i | 0.0350081 | − | 0.0127419i | ||||
\(441\) | −0.890126 | − | 1.10777i | −0.0423869 | − | 0.0527508i | ||||
\(442\) | −3.12649 | + | 17.7312i | −0.148712 | + | 0.843388i | ||||
\(443\) | 0.557369 | − | 1.53136i | 0.0264814 | − | 0.0727571i | −0.925747 | − | 0.378142i | \(-0.876563\pi\) |
0.952229 | + | 0.305385i | \(0.0987852\pi\) | |||||||
\(444\) | 9.69842 | + | 9.90665i | 0.460267 | + | 0.470149i | ||||
\(445\) | −14.1331 | − | 8.15976i | −0.669974 | − | 0.386810i | ||||
\(446\) | 15.7857 | + | 18.8127i | 0.747475 | + | 0.890807i | ||||
\(447\) | 22.2322 | − | 31.0438i | 1.05154 | − | 1.46832i | ||||
\(448\) | 1.36690 | − | 2.36755i | 0.0645801 | − | 0.111856i | ||||
\(449\) | 15.5784 | + | 26.9826i | 0.735190 | + | 1.27339i | 0.954640 | + | 0.297762i | \(0.0962403\pi\) |
−0.219450 | + | 0.975624i | \(0.570426\pi\) | |||||||
\(450\) | −2.96482 | + | 0.458076i | −0.139763 | + | 0.0215939i | ||||
\(451\) | 6.29335 | + | 1.10969i | 0.296342 | + | 0.0522531i | ||||
\(452\) | −0.217169 | − | 1.23163i | −0.0102148 | − | 0.0579309i | ||||
\(453\) | −1.31040 | + | 0.896966i | −0.0615681 | + | 0.0421431i | ||||
\(454\) | −9.91918 | − | 8.32318i | −0.465530 | − | 0.390626i | ||||
\(455\) | −14.6573 | −0.687145 | ||||||||
\(456\) | 6.50329 | + | 3.83500i | 0.304544 | + | 0.179590i | ||||
\(457\) | −3.97596 | −0.185987 | −0.0929937 | − | 0.995667i | \(-0.529644\pi\) | ||||
−0.0929937 | + | 0.995667i | \(0.529644\pi\) | |||||||
\(458\) | 13.4112 | + | 11.2533i | 0.626662 | + | 0.525832i | ||||
\(459\) | 7.87452 | − | 15.5716i | 0.367551 | − | 0.726822i | ||||
\(460\) | 0.561867 | + | 3.18651i | 0.0261972 | + | 0.148572i | ||||
\(461\) | −18.4805 | − | 3.25861i | −0.860722 | − | 0.151769i | −0.274171 | − | 0.961681i | \(-0.588404\pi\) |
−0.586551 | + | 0.809912i | \(0.699515\pi\) | |||||||
\(462\) | −3.68259 | − | 0.361633i | −0.171329 | − | 0.0168247i | ||||
\(463\) | −11.8899 | − | 20.5938i | −0.552568 | − | 0.957076i | −0.998088 | − | 0.0618044i | \(-0.980315\pi\) |
0.445520 | − | 0.895272i | \(-0.353019\pi\) | |||||||
\(464\) | −1.17459 | + | 2.03444i | −0.0545288 | + | 0.0944467i | ||||
\(465\) | −1.77250 | − | 1.26938i | −0.0821975 | − | 0.0588661i | ||||
\(466\) | −19.0472 | − | 22.6996i | −0.882346 | − | 1.05154i | ||||
\(467\) | −12.8575 | − | 7.42326i | −0.594972 | − | 0.343507i | 0.172089 | − | 0.985081i | \(-0.444948\pi\) |
−0.767061 | + | 0.641574i | \(0.778282\pi\) | |||||||
\(468\) | 8.33630 | − | 13.7556i | 0.385346 | − | 0.635854i | ||||
\(469\) | −7.81088 | + | 21.4602i | −0.360673 | + | 0.990941i | ||||
\(470\) | −0.210779 | + | 1.19539i | −0.00972249 | + | 0.0551390i | ||||
\(471\) | −5.28326 | + | 2.39565i | −0.243440 | + | 0.110386i | ||||
\(472\) | 3.23021 | − | 1.17570i | 0.148682 | − | 0.0541160i | ||||
\(473\) | −2.36538 | + | 2.81894i | −0.108760 | + | 0.129615i | ||||
\(474\) | −0.804846 | + | 0.206522i | −0.0369678 | + | 0.00948586i | ||||
\(475\) | 2.50518 | + | 3.56708i | 0.114946 | + | 0.163669i | ||||
\(476\) | 9.18054i | 0.420789i | ||||||||
\(477\) | −15.1742 | − | 3.00925i | −0.694777 | − | 0.137784i | ||||
\(478\) | −0.684889 | − | 1.88172i | −0.0313261 | − | 0.0860677i | ||||
\(479\) | −1.31392 | + | 0.231680i | −0.0600347 | + | 0.0105857i | −0.203585 | − | 0.979057i | \(-0.565259\pi\) |
0.143550 | + | 0.989643i | \(0.454148\pi\) | |||||||
\(480\) | 0.132625 | + | 1.72697i | 0.00605345 | + | 0.0788248i | ||||
\(481\) | −40.3264 | − | 14.6776i | −1.83873 | − | 0.669242i | ||||
\(482\) | 5.40335 | − | 3.11963i | 0.246116 | − | 0.142095i | ||||
\(483\) | 4.12236 | − | 14.7562i | 0.187574 | − | 0.671429i | ||||
\(484\) | 7.95868 | − | 6.67812i | 0.361758 | − | 0.303551i | ||||
\(485\) | 4.21868 | − | 3.53989i | 0.191560 | − | 0.160738i | ||||
\(486\) | −11.5922 | + | 10.4221i | −0.525834 | + | 0.472756i | ||||
\(487\) | −8.66841 | + | 5.00471i | −0.392803 | + | 0.226785i | −0.683374 | − | 0.730068i | \(-0.739488\pi\) |
0.290571 | + | 0.956853i | \(0.406155\pi\) | |||||||
\(488\) | 6.41469 | + | 2.33476i | 0.290379 | + | 0.105689i | ||||
\(489\) | −3.46536 | + | 0.266127i | −0.156709 | + | 0.0120347i | ||||
\(490\) | −0.466497 | + | 0.0822561i | −0.0210742 | + | 0.00371595i | ||||
\(491\) | 3.24848 | + | 8.92512i | 0.146602 | + | 0.402785i | 0.991159 | − | 0.132680i | \(-0.0423584\pi\) |
−0.844557 | + | 0.535466i | \(0.820136\pi\) | |||||||
\(492\) | −6.12191 | + | 12.7725i | −0.275997 | + | 0.575830i | ||||
\(493\) | − | 7.88889i | − | 0.355298i | ||||||
\(494\) | −23.2842 | − | 2.00409i | −1.04760 | − | 0.0901685i | ||||
\(495\) | 2.05474 | − | 1.12881i | 0.0923537 | − | 0.0507361i | ||||
\(496\) | −0.809085 | + | 0.964230i | −0.0363290 | + | 0.0432952i | ||||
\(497\) | 38.0080 | − | 13.8338i | 1.70489 | − | 0.620529i | ||||
\(498\) | −11.0761 | − | 24.4268i | −0.496333 | − | 1.09459i | ||||
\(499\) | −6.73065 | + | 38.1714i | −0.301305 | + | 1.70879i | 0.339102 | + | 0.940750i | \(0.389877\pi\) |
−0.640407 | + | 0.768036i | \(0.721234\pi\) | |||||||
\(500\) | −0.342020 | + | 0.939693i | −0.0152956 | + | 0.0420243i | ||||
\(501\) | −16.6490 | + | 16.2991i | −0.743823 | + | 0.728189i | ||||
\(502\) | 6.33325 | + | 3.65650i | 0.282667 | + | 0.163198i | ||||
\(503\) | −15.6292 | − | 18.6262i | −0.696871 | − | 0.830499i | 0.295297 | − | 0.955405i | \(-0.404581\pi\) |
−0.992169 | + | 0.124906i | \(0.960137\pi\) | |||||||
\(504\) | 2.96811 | − | 7.64549i | 0.132210 | − | 0.340557i | ||||
\(505\) | 5.08418 | − | 8.80606i | 0.226243 | − | 0.391864i | ||||
\(506\) | −1.26428 | − | 2.18979i | −0.0562040 | − | 0.0973481i | ||||
\(507\) | −2.66535 | + | 27.1418i | −0.118372 | + | 1.20541i | ||||
\(508\) | −21.0429 | − | 3.71043i | −0.933628 | − | 0.164624i | ||||
\(509\) | 2.29720 | + | 13.0281i | 0.101822 | + | 0.577460i | 0.992442 | + | 0.122713i | \(0.0391594\pi\) |
−0.890620 | + | 0.454747i | \(0.849730\pi\) | |||||||
\(510\) | −3.28541 | − | 4.79975i | −0.145481 | − | 0.212537i | ||||
\(511\) | −13.1654 | − | 11.0471i | −0.582405 | − | 0.488696i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 21.0378 | + | 8.39108i | 0.928842 | + | 0.370475i | ||||
\(514\) | −21.4751 | −0.947226 | ||||||||
\(515\) | −9.00050 | − | 7.55231i | −0.396609 | − | 0.332795i | ||||
\(516\) | −4.60695 | − | 6.73042i | −0.202810 | − | 0.296290i | ||||
\(517\) | −0.164716 | − | 0.934150i | −0.00724419 | − | 0.0410839i | ||||
\(518\) | −21.5495 | − | 3.79975i | −0.946829 | − | 0.166951i | ||||
\(519\) | 3.93998 | − | 40.1217i | 0.172946 | − | 1.76115i | ||||
\(520\) | −2.68075 | − | 4.64320i | −0.117559 | − | 0.203618i | ||||
\(521\) | −6.43508 | + | 11.1459i | −0.281926 | + | 0.488310i | −0.971859 | − | 0.235563i | \(-0.924307\pi\) |
0.689933 | + | 0.723873i | \(0.257640\pi\) | |||||||
\(522\) | −2.55051 | + | 6.56982i | −0.111633 | + | 0.287553i | ||||
\(523\) | −14.6215 | − | 17.4252i | −0.639352 | − | 0.761950i | 0.344916 | − | 0.938634i | \(-0.387908\pi\) |
−0.984268 | + | 0.176684i | \(0.943463\pi\) | |||||||
\(524\) | 11.1509 | + | 6.43798i | 0.487130 | + | 0.281244i | ||||
\(525\) | 3.38359 | − | 3.31247i | 0.147672 | − | 0.144568i | ||||
\(526\) | −3.24002 | + | 8.90187i | −0.141271 | + | 0.388140i | ||||
\(527\) | 0.734002 | − | 4.16273i | 0.0319736 | − | 0.181331i | ||||
\(528\) | −0.558968 | − | 1.23272i | −0.0243260 | − | 0.0536475i | ||||
\(529\) | −11.7748 | + | 4.28567i | −0.511947 | + | 0.186334i | ||||
\(530\) | −3.31457 | + | 3.95015i | −0.143976 | + | 0.171584i | ||||
\(531\) | 9.03844 | − | 4.96542i | 0.392235 | − | 0.215481i | ||||
\(532\) | −11.8696 | + | 1.05528i | −0.514611 | + | 0.0457523i | ||||
\(533\) | − | 43.8438i | − | 1.89909i | ||||||
\(534\) | −12.2172 | + | 25.4896i | −0.528691 | + | 1.10304i | ||||
\(535\) | 0.459939 | + | 1.26367i | 0.0198849 | + | 0.0546333i | ||||
\(536\) | −8.22683 | + | 1.45061i | −0.355345 | + | 0.0626569i | ||||
\(537\) | −2.95713 | + | 0.227096i | −0.127610 | + | 0.00979994i | ||||
\(538\) | −14.2677 | − | 5.19301i | −0.615124 | − | 0.223887i | ||||
\(539\) | 0.320580 | − | 0.185087i | 0.0138084 | − | 0.00797227i | ||||
\(540\) | 1.18429 | + | 5.05939i | 0.0509637 | + | 0.217722i | ||||
\(541\) | −6.58706 | + | 5.52720i | −0.283200 | + | 0.237633i | −0.773311 | − | 0.634027i | \(-0.781401\pi\) |
0.490111 | + | 0.871660i | \(0.336956\pi\) | |||||||
\(542\) | −8.18134 | + | 6.86496i | −0.351419 | + | 0.294875i | ||||
\(543\) | 3.48165 | − | 12.4627i | 0.149412 | − | 0.534826i | ||||
\(544\) | −2.90825 | + | 1.67908i | −0.124690 | + | 0.0719898i | ||||
\(545\) | −4.86466 | − | 1.77059i | −0.208379 | − | 0.0758438i | ||||
\(546\) | 1.94392 | + | 25.3127i | 0.0831920 | + | 1.08328i | ||||
\(547\) | −33.4537 | + | 5.89879i | −1.43038 | + | 0.252214i | −0.834565 | − | 0.550909i | \(-0.814281\pi\) |
−0.595813 | + | 0.803124i | \(0.703170\pi\) | |||||||
\(548\) | −6.21590 | − | 17.0780i | −0.265530 | − | 0.729538i | ||||
\(549\) | 20.0879 | + | 3.98372i | 0.857331 | + | 0.170021i | ||||
\(550\) | − | 0.781463i | − | 0.0333217i | ||||||
\(551\) | 10.1996 | − | 0.906809i | 0.434517 | − | 0.0386314i | ||||
\(552\) | 5.42847 | − | 1.39293i | 0.231051 | − | 0.0592872i | ||||
\(553\) | 0.843012 | − | 1.00466i | 0.0358485 | − | 0.0427226i | ||||
\(554\) | −2.59378 | + | 0.944060i | −0.110199 | + | 0.0401093i | ||||
\(555\) | 12.6263 | − | 5.72526i | 0.535955 | − | 0.243024i | ||||
\(556\) | 0.788983 | − | 4.47455i | 0.0334603 | − | 0.189763i | ||||
\(557\) | −12.0113 | + | 33.0008i | −0.508936 | + | 1.39829i | 0.373401 | + | 0.927670i | \(0.378192\pi\) |
−0.882337 | + | 0.470619i | \(0.844031\pi\) | |||||||
\(558\) | −1.95710 | + | 3.22939i | −0.0828507 | + | 0.136711i | ||||
\(559\) | 21.8646 | + | 12.6235i | 0.924773 | + | 0.533918i | ||||
\(560\) | −1.75726 | − | 2.09422i | −0.0742576 | − | 0.0884968i | ||||
\(561\) | 3.69545 | + | 2.64652i | 0.156022 | + | 0.111736i | ||||
\(562\) | 9.40380 | − | 16.2879i | 0.396675 | − | 0.687062i | ||||
\(563\) | −12.8672 | − | 22.2866i | −0.542286 | − | 0.939267i | −0.998772 | − | 0.0495367i | \(-0.984226\pi\) |
0.456486 | − | 0.889731i | \(-0.349108\pi\) | |||||||
\(564\) | 2.09234 | + | 0.205470i | 0.0881036 | + | 0.00865185i | ||||
\(565\) | −1.23163 | − | 0.217169i | −0.0518150 | − | 0.00913638i | ||||
\(566\) | −0.948766 | − | 5.38072i | −0.0398796 | − | 0.226168i | ||||
\(567\) | 5.29769 | − | 24.0271i | 0.222482 | − | 1.00905i | ||||
\(568\) | 11.3338 | + | 9.51018i | 0.475555 | + | 0.399038i | ||||
\(569\) | 22.7561 | 0.953986 | 0.476993 | − | 0.878907i | \(-0.341727\pi\) | ||||
0.476993 | + | 0.878907i | \(0.341727\pi\) | |||||||
\(570\) | 5.82798 | − | 4.79945i | 0.244107 | − | 0.201027i | ||||
\(571\) | −31.7792 | −1.32992 | −0.664960 | − | 0.746879i | \(-0.731551\pi\) | ||||
−0.664960 | + | 0.746879i | \(0.731551\pi\) | |||||||
\(572\) | 3.20959 | + | 2.69316i | 0.134200 | + | 0.112607i | ||||
\(573\) | −6.96501 | + | 4.76752i | −0.290968 | + | 0.199166i | ||||
\(574\) | −3.88204 | − | 22.0161i | −0.162033 | − | 0.918935i | ||||
\(575\) | 3.18651 | + | 0.561867i | 0.132887 | + | 0.0234315i | ||||
\(576\) | 2.96482 | − | 0.458076i | 0.123534 | − | 0.0190865i | ||||
\(577\) | 0.196726 | + | 0.340739i | 0.00818980 | + | 0.0141852i | 0.870091 | − | 0.492891i | \(-0.164060\pi\) |
−0.861901 | + | 0.507076i | \(0.830726\pi\) | |||||||
\(578\) | −2.86140 | + | 4.95610i | −0.119019 | + | 0.206147i | ||||
\(579\) | 3.97106 | − | 5.54498i | 0.165032 | − | 0.230441i | ||||
\(580\) | 1.51002 | + | 1.79957i | 0.0627002 | + | 0.0747232i | ||||
\(581\) | 36.6613 | + | 21.1664i | 1.52097 | + | 0.878131i | ||||
\(582\) | −6.67277 | − | 6.81604i | −0.276595 | − | 0.282534i | ||||
\(583\) | 1.37823 | − | 3.78664i | 0.0570803 | − | 0.156827i | ||||
\(584\) | 1.09165 | − | 6.19106i | 0.0451729 | − | 0.256188i | ||||
\(585\) | −10.0749 | − | 12.5383i | −0.416545 | − | 0.518393i | ||||
\(586\) | 18.0698 | − | 6.57687i | 0.746457 | − | 0.271688i | ||||
\(587\) | −8.57342 | + | 10.2174i | −0.353863 | + | 0.421718i | −0.913384 | − | 0.407098i | \(-0.866541\pi\) |
0.559521 | + | 0.828816i | \(0.310985\pi\) | |||||||
\(588\) | 0.203922 | + | 0.794716i | 0.00840962 | + | 0.0327735i | ||||
\(589\) | 5.46639 | + | 0.470499i | 0.225239 | + | 0.0193866i | ||||
\(590\) | − | 3.43752i | − | 0.141520i | ||||||
\(591\) | −39.8385 | − | 19.0947i | −1.63874 | − | 0.785451i | ||||
\(592\) | −2.73759 | − | 7.52148i | −0.112514 | − | 0.309131i | ||||
\(593\) | −27.1682 | + | 4.79048i | −1.11566 | + | 0.196721i | −0.700936 | − | 0.713225i | \(-0.747234\pi\) |
−0.414727 | + | 0.909946i | \(0.636123\pi\) | |||||||
\(594\) | −2.22192 | − | 3.39876i | −0.0911665 | − | 0.139453i | ||||
\(595\) | 8.62688 | + | 3.13993i | 0.353668 | + | 0.128725i | ||||
\(596\) | −19.0918 | + | 11.0226i | −0.782030 | + | 0.451505i | ||||
\(597\) | −33.1024 | − | 9.24767i | −1.35479 | − | 0.378482i | ||||
\(598\) | −13.2894 | + | 11.1511i | −0.543442 | + | 0.456002i | ||||
\(599\) | 24.2964 | − | 20.3871i | 0.992722 | − | 0.832993i | 0.00676271 | − | 0.999977i | \(-0.497847\pi\) |
0.985960 | + | 0.166984i | \(0.0534029\pi\) | |||||||
\(600\) | 1.66818 | + | 0.466031i | 0.0681031 | + | 0.0190256i | ||||
\(601\) | 14.9017 | − | 8.60351i | 0.607854 | − | 0.350944i | −0.164271 | − | 0.986415i | \(-0.552527\pi\) |
0.772125 | + | 0.635471i | \(0.219194\pi\) | |||||||
\(602\) | 12.0970 | + | 4.40295i | 0.493037 | + | 0.179451i | ||||
\(603\) | −23.7266 | + | 8.06932i | −0.966221 | + | 0.328608i | ||||
\(604\) | 0.902896 | − | 0.159205i | 0.0367383 | − | 0.00647796i | ||||
\(605\) | −3.55335 | − | 9.76276i | −0.144464 | − | 0.396913i | ||||
\(606\) | −15.8820 | − | 7.61230i | −0.645164 | − | 0.309229i | ||||
\(607\) | − | 32.4539i | − | 1.31726i | −0.752466 | − | 0.658631i | \(-0.771136\pi\) | ||
0.752466 | − | 0.658631i | \(-0.228864\pi\) | |||||||
\(608\) | −2.50518 | − | 3.56708i | −0.101599 | − | 0.144664i | ||||
\(609\) | −2.76471 | − | 10.7745i | −0.112032 | − | 0.436605i | ||||
\(610\) | 4.38791 | − | 5.22930i | 0.177661 | − | 0.211728i | ||||
\(611\) | −6.11545 | + | 2.22584i | −0.247405 | + | 0.0900480i | ||||
\(612\) | −7.85328 | + | 6.31036i | −0.317450 | + | 0.255081i | ||||
\(613\) | −2.96289 | + | 16.8034i | −0.119670 | + | 0.678682i | 0.864662 | + | 0.502355i | \(0.167533\pi\) |
−0.984332 | + | 0.176327i | \(0.943578\pi\) | |||||||
\(614\) | 6.13513 | − | 16.8561i | 0.247594 | − | 0.680258i | ||||
\(615\) | 9.90844 | + | 10.1212i | 0.399547 | + | 0.408125i | ||||
\(616\) | 1.85015 | + | 1.06818i | 0.0745447 | + | 0.0430384i | ||||
\(617\) | 4.93525 | + | 5.88161i | 0.198686 | + | 0.236785i | 0.856183 | − | 0.516672i | \(-0.172829\pi\) |
−0.657497 | + | 0.753457i | \(0.728385\pi\) | |||||||
\(618\) | −11.8489 | + | 16.5452i | −0.476633 | + | 0.665544i | ||||
\(619\) | 8.77468 | − | 15.1982i | 0.352684 | − | 0.610867i | −0.634035 | − | 0.773305i | \(-0.718602\pi\) |
0.986719 | + | 0.162438i | \(0.0519357\pi\) | |||||||
\(620\) | 0.629356 | + | 1.09008i | 0.0252756 | + | 0.0437785i | ||||
\(621\) | 15.4564 | − | 6.61646i | 0.620243 | − | 0.265509i | ||||
\(622\) | 2.99071 | + | 0.527343i | 0.119916 | + | 0.0211445i | ||||
\(623\) | −7.74721 | − | 43.9366i | −0.310385 | − | 1.76028i | ||||
\(624\) | −7.66311 | + | 5.24537i | −0.306770 | + | 0.209983i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 29.3867 | 1.17453 | ||||||||
\(627\) | −2.99691 | + | 5.08208i | −0.119685 | + | 0.202959i | ||||
\(628\) | 3.34923 | 0.133649 | ||||||||
\(629\) | 20.5907 | + | 17.2777i | 0.821006 | + | 0.688906i | ||||
\(630\) | −6.16926 | − | 5.40402i | −0.245789 | − | 0.215301i | ||||
\(631\) | 5.71572 | + | 32.4155i | 0.227539 | + | 1.29044i | 0.857771 | + | 0.514032i | \(0.171849\pi\) |
−0.630232 | + | 0.776407i | \(0.717040\pi\) | |||||||
\(632\) | 0.472444 | + | 0.0833046i | 0.0187928 | + | 0.00331368i | ||||
\(633\) | −34.9168 | − | 3.42887i | −1.38782 | − | 0.136285i | ||||
\(634\) | 1.49879 | + | 2.59598i | 0.0595246 | + | 0.103100i | ||||
\(635\) | −10.6838 | + | 18.5048i | −0.423972 | + | 0.734341i | ||||
\(636\) | 7.26137 | + | 5.20026i | 0.287932 | + | 0.206204i | ||||
\(637\) | −1.63249 | − | 1.94553i | −0.0646818 | − | 0.0770847i | ||||
\(638\) | −1.58984 | − | 0.917897i | −0.0629425 | − | 0.0363399i | ||||
\(639\) | 37.9590 | + | 23.0042i | 1.50164 | + | 0.910034i | ||||
\(640\) | 0.342020 | − | 0.939693i | 0.0135195 | − | 0.0371446i | ||||
\(641\) | 2.98431 | − | 16.9249i | 0.117873 | − | 0.668492i | −0.867414 | − | 0.497587i | \(-0.834220\pi\) |
0.985287 | − | 0.170905i | \(-0.0546692\pi\) | |||||||
\(642\) | 2.12132 | − | 0.961892i | 0.0837218 | − | 0.0379629i | ||||
\(643\) | 9.88767 | − | 3.59882i | 0.389932 | − | 0.141923i | −0.139612 | − | 0.990206i | \(-0.544585\pi\) |
0.529543 | + | 0.848283i | \(0.322363\pi\) | |||||||
\(644\) | −5.68589 | + | 6.77618i | −0.224056 | + | 0.267019i | ||||
\(645\) | −7.90020 | + | 2.02717i | −0.311070 | + | 0.0798199i | ||||
\(646\) | 13.2751 | + | 6.16755i | 0.522301 | + | 0.242659i | ||||
\(647\) | 17.4264i | 0.685101i | 0.939499 | + | 0.342551i | \(0.111291\pi\) | ||||
−0.939499 | + | 0.342551i | \(0.888709\pi\) | |||||||
\(648\) | 8.58033 | − | 2.71623i | 0.337067 | − | 0.106703i | ||||
\(649\) | 0.918767 | + | 2.52429i | 0.0360648 | + | 0.0990871i | ||||
\(650\) | −5.28005 | + | 0.931015i | −0.207101 | + | 0.0365174i | ||||
\(651\) | −0.456371 | − | 5.94262i | −0.0178866 | − | 0.232910i | ||||
\(652\) | 1.88560 | + | 0.686304i | 0.0738459 | + | 0.0268777i | ||||
\(653\) | −9.49553 | + | 5.48225i | −0.371589 | + | 0.214537i | −0.674152 | − | 0.738592i | \(-0.735491\pi\) |
0.302564 | + | 0.953129i | \(0.402158\pi\) | |||||||
\(654\) | −2.41258 | + | 8.63592i | −0.0943392 | + | 0.337691i | ||||
\(655\) | 9.86355 | − | 8.27650i | 0.385401 | − | 0.323390i | ||||
\(656\) | 6.26434 | − | 5.25641i | 0.244582 | − | 0.205228i | ||||
\(657\) | 0.400574 | − | 18.8555i | 0.0156279 | − | 0.735621i | ||||
\(658\) | −2.87379 | + | 1.65918i | −0.112032 | + | 0.0646816i | ||||
\(659\) | −26.9232 | − | 9.79923i | −1.04878 | − | 0.381724i | −0.240576 | − | 0.970630i | \(-0.577336\pi\) |
−0.808201 | + | 0.588906i | \(0.799559\pi\) | |||||||
\(660\) | −1.34956 | + | 0.103641i | −0.0525316 | + | 0.00403423i | ||||
\(661\) | −25.5439 | + | 4.50408i | −0.993543 | + | 0.175188i | −0.646708 | − | 0.762738i | \(-0.723855\pi\) |
−0.346835 | + | 0.937926i | \(0.612744\pi\) | |||||||
\(662\) | 2.60039 | + | 7.14452i | 0.101067 | + | 0.277680i | ||||
\(663\) | 13.4788 | − | 28.1218i | 0.523474 | − | 1.09216i | ||||
\(664\) | 15.4849i | 0.600932i | ||||||||
\(665\) | −3.06799 | + | 11.5147i | −0.118972 | + | 0.446520i | ||||
\(666\) | −11.5619 | − | 21.0458i | −0.448014 | − | 0.815508i | ||||
\(667\) | 4.88592 | − | 5.82281i | 0.189184 | − | 0.225460i | ||||
\(668\) | 12.6405 | − | 4.60077i | 0.489076 | − | 0.178009i | ||||
\(669\) | −17.5661 | − | 38.7395i | −0.679144 | − | 1.49776i | ||||
\(670\) | −1.45061 | + | 8.22683i | −0.0560420 | + | 0.317830i | ||||
\(671\) | −1.82453 | + | 5.01285i | −0.0704351 | + | 0.193519i | ||||
\(672\) | −3.38359 | + | 3.31247i | −0.130525 | + | 0.127781i | ||||
\(673\) | 40.5925 | + | 23.4361i | 1.56472 | + | 0.903394i | 0.996768 | + | 0.0803356i | \(0.0255992\pi\) |
0.567957 | + | 0.823059i | \(0.307734\pi\) | |||||||
\(674\) | 3.90634 | + | 4.65540i | 0.150467 | + | 0.179319i | ||||
\(675\) | 5.15933 | + | 0.617546i | 0.198583 | + | 0.0237694i | ||||
\(676\) | 7.87285 | − | 13.6362i | 0.302802 | − | 0.524468i | ||||
\(677\) | −2.49156 | − | 4.31550i | −0.0957583 | − | 0.165858i | 0.814167 | − | 0.580631i | \(-0.197194\pi\) |
−0.909925 | + | 0.414773i | \(0.863861\pi\) | |||||||
\(678\) | −0.211700 | + | 2.15578i | −0.00813028 | + | 0.0827923i | ||||
\(679\) | 14.8266 | + | 2.61433i | 0.568993 | + | 0.100329i | ||||
\(680\) | 0.583137 | + | 3.30713i | 0.0223623 | + | 0.126823i | ||||
\(681\) | 12.6681 | + | 18.5072i | 0.485443 | + | 0.709197i | ||||
\(682\) | −0.753510 | − | 0.632270i | −0.0288534 | − | 0.0242109i | ||||
\(683\) | −38.2737 | −1.46450 | −0.732251 | − | 0.681035i | \(-0.761530\pi\) | ||||
−0.732251 | + | 0.681035i | \(0.761530\pi\) | |||||||
\(684\) | −9.06141 | − | 9.42819i | −0.346472 | − | 0.360496i | ||||
\(685\) | −18.1741 | −0.694395 | ||||||||
\(686\) | 13.6675 | + | 11.4684i | 0.521828 | + | 0.437865i | ||||
\(687\) | −17.1278 | − | 25.0225i | −0.653467 | − | 0.954669i | ||||
\(688\) | 0.817700 | + | 4.63741i | 0.0311745 | + | 0.176800i | ||||
\(689\) | −27.2269 | − | 4.80083i | −1.03726 | − | 0.182897i | ||||
\(690\) | 0.547716 | − | 5.57751i | 0.0208512 | − | 0.212332i | ||||
\(691\) | −9.80824 | − | 16.9884i | −0.373123 | − | 0.646268i | 0.616921 | − | 0.787025i | \(-0.288380\pi\) |
−0.990044 | + | 0.140757i | \(0.955046\pi\) | |||||||
\(692\) | −11.6378 | + | 20.1573i | −0.442404 | + | 0.766266i | ||||
\(693\) | 5.97467 | + | 2.31947i | 0.226959 | + | 0.0881093i | ||||
\(694\) | 22.1017 | + | 26.3397i | 0.838967 | + | 0.999842i | ||||
\(695\) | −3.93485 | − | 2.27179i | −0.149257 | − | 0.0861738i | ||||
\(696\) | 2.90753 | − | 2.84642i | 0.110210 | − | 0.107893i | ||||
\(697\) | −9.39234 | + | 25.8052i | −0.355760 | + | 0.977443i | ||||
\(698\) | 2.41526 | − | 13.6976i | 0.0914189 | − | 0.518462i | ||||
\(699\) | 21.1954 | + | 46.7436i | 0.801685 | + | 1.76800i | ||||
\(700\) | −2.56894 | + | 0.935017i | −0.0970967 | + | 0.0353403i | ||||
\(701\) | 24.3730 | − | 29.0466i | 0.920555 | − | 1.09707i | −0.0744474 | − | 0.997225i | \(-0.523719\pi\) |
0.995003 | − | 0.0998499i | \(-0.0318363\pi\) | |||||||
\(702\) | −20.3170 | + | 19.0619i | −0.766815 | + | 0.719444i | ||||
\(703\) | −19.9715 | + | 28.6079i | −0.753241 | + | 1.07897i | ||||
\(704\) | 0.781463i | 0.0294525i | ||||||||
\(705\) | 0.908702 | − | 1.89588i | 0.0342237 | − | 0.0714032i | ||||
\(706\) | 6.15458 | + | 16.9096i | 0.231631 | + | 0.636400i | ||||
\(707\) | 27.3760 | − | 4.82713i | 1.02958 | − | 0.181543i | ||||
\(708\) | −5.93648 | + | 0.455899i | −0.223106 | + | 0.0171337i | ||||
\(709\) | 8.14093 | + | 2.96305i | 0.305739 | + | 0.111280i | 0.490333 | − | 0.871535i | \(-0.336875\pi\) |
−0.184595 | + | 0.982815i | \(0.559097\pi\) | |||||||
\(710\) | 12.8130 | − | 7.39760i | 0.480864 | − | 0.277627i | ||||
\(711\) | 1.43887 | + | 0.0305680i | 0.0539619 | + | 0.00114639i | ||||
\(712\) | 12.5015 | − | 10.4900i | 0.468513 | − | 0.393129i | ||||
\(713\) | 3.11992 | − | 2.61793i | 0.116842 | − | 0.0980421i | ||||
\(714\) | 4.27841 | − | 15.3148i | 0.160116 | − | 0.573141i | ||||
\(715\) | 3.62849 | − | 2.09491i | 0.135698 | − | 0.0783451i | ||||
\(716\) | 1.60906 | + | 0.585650i | 0.0601334 | + | 0.0218868i | ||||
\(717\) | 0.265578 | + | 3.45822i | 0.00991820 | + | 0.129149i | ||||
\(718\) | −34.0236 | + | 5.99927i | −1.26975 | + | 0.223891i | ||||
\(719\) | −9.13952 | − | 25.1106i | −0.340847 | − | 0.936468i | −0.985150 | − | 0.171698i | \(-0.945075\pi\) |
0.644303 | − | 0.764770i | \(-0.277148\pi\) | |||||||
\(720\) | 0.583578 | − | 2.94269i | 0.0217487 | − | 0.109668i | ||||
\(721\) | − | 32.1203i | − | 1.19622i | ||||||
\(722\) | −6.44812 | + | 17.8724i | −0.239974 | + | 0.665141i | ||||
\(723\) | −10.4676 | + | 2.68596i | −0.389294 | + | 0.0998920i | ||||
\(724\) | −4.80217 | + | 5.72301i | −0.178471 | + | 0.212694i | ||||
\(725\) | 2.20750 | − | 0.803465i | 0.0819846 | − | 0.0298399i | ||||
\(726\) | −16.3887 | + | 7.43130i | −0.608242 | + | 0.275802i | ||||
\(727\) | 1.20264 | − | 6.82053i | 0.0446036 | − | 0.252959i | −0.954350 | − | 0.298690i | \(-0.903450\pi\) |
0.998954 | + | 0.0457304i | \(0.0145615\pi\) | |||||||
\(728\) | 5.01309 | − | 13.7734i | 0.185798 | − | 0.510475i | ||||
\(729\) | 24.1949 | − | 11.9836i | 0.896108 | − | 0.443836i | ||||
\(730\) | −5.44433 | − | 3.14329i | −0.201504 | − | 0.116338i | ||||
\(731\) | −10.1646 | − | 12.1137i | −0.375953 | − | 0.448043i | ||||
\(732\) | −9.61277 | − | 6.88423i | −0.355298 | − | 0.254449i | ||||
\(733\) | 15.0984 | − | 26.1512i | 0.557673 | − | 0.965918i | −0.440017 | − | 0.897989i | \(-0.645028\pi\) |
0.997690 | − | 0.0679288i | \(-0.0216391\pi\) | |||||||
\(734\) | −6.80203 | − | 11.7815i | −0.251067 | − | 0.434862i | ||||
\(735\) | 0.816534 | + | 0.0801844i | 0.0301183 | + | 0.00295765i | ||||
\(736\) | −3.18651 | − | 0.561867i | −0.117456 | − | 0.0207107i | ||||
\(737\) | −1.13360 | − | 6.42896i | −0.0417567 | − | 0.236814i | ||||
\(738\) | 16.1648 | − | 18.4539i | 0.595035 | − | 0.679296i | ||||
\(739\) | 35.1410 | + | 29.4868i | 1.29268 | + | 1.08469i | 0.991360 | + | 0.131168i | \(0.0418728\pi\) |
0.301323 | + | 0.953522i | \(0.402572\pi\) | |||||||
\(740\) | −8.00419 | −0.294240 | ||||||||
\(741\) | 37.9081 | + | 14.1943i | 1.39259 | + | 0.521441i | ||||
\(742\) | −14.0970 | −0.517518 | ||||||||
\(743\) | −40.3350 | − | 33.8451i | −1.47975 | − | 1.24166i | −0.906453 | − | 0.422308i | \(-0.861220\pi\) |
−0.573296 | − | 0.819348i | \(-0.694335\pi\) | |||||||
\(744\) | 1.79906 | − | 1.23145i | 0.0659566 | − | 0.0451471i | ||||
\(745\) | 3.82813 | + | 21.7104i | 0.140252 | + | 0.795407i | ||||
\(746\) | 10.0363 | + | 1.76967i | 0.367455 | + | 0.0647921i | ||||
\(747\) | 7.09328 | + | 45.9101i | 0.259530 | + | 1.67976i | ||||
\(748\) | −1.31214 | − | 2.27269i | −0.0479765 | − | 0.0830977i | ||||
\(749\) | −1.83817 | + | 3.18381i | −0.0671653 | + | 0.116334i | ||||
\(750\) | 1.00848 | − | 1.40818i | 0.0368243 | − | 0.0514195i | ||||
\(751\) | 26.6642 | + | 31.7771i | 0.972990 | + | 1.15956i | 0.987171 | + | 0.159665i | \(0.0510413\pi\) |
−0.0141816 | + | 0.999899i | \(0.504514\pi\) | |||||||
\(752\) | −1.05120 | − | 0.606913i | −0.0383335 | − | 0.0221318i | ||||
\(753\) | −8.86094 | − | 9.05118i | −0.322911 | − | 0.329843i | ||||
\(754\) | −4.30778 | + | 11.8355i | −0.156880 | + | 0.431024i | ||||
\(755\) | 0.159205 | − | 0.902896i | 0.00579406 | − | 0.0328598i | ||||
\(756\) | −8.51436 | + | 11.3708i | −0.309664 | + | 0.413552i | ||||
\(757\) | −42.7265 | + | 15.5512i | −1.55292 | + | 0.565218i | −0.969101 | − | 0.246664i | \(-0.920665\pi\) |
−0.583822 | + | 0.811882i | \(0.698443\pi\) | |||||||
\(758\) | −12.7292 | + | 15.1701i | −0.462346 | + | 0.551003i | ||||
\(759\) | 1.08853 | + | 4.24215i | 0.0395110 | + | 0.153980i | ||||
\(760\) | −4.20878 | + | 1.13409i | −0.152669 | + | 0.0411377i | ||||
\(761\) | 41.2983i | 1.49706i | 0.663099 | + | 0.748532i | \(0.269241\pi\) | ||||
−0.663099 | + | 0.748532i | \(0.730759\pi\) | |||||||
\(762\) | 33.3741 | + | 15.9963i | 1.20902 | + | 0.579485i | ||||
\(763\) | −4.84045 | − | 13.2990i | −0.175236 | − | 0.481457i | ||||
\(764\) | 4.79905 | − | 0.846201i | 0.173623 | − | 0.0306145i | ||||
\(765\) | 3.24382 | + | 9.53794i | 0.117280 | + | 0.344845i | ||||
\(766\) | 4.16337 | + | 1.51534i | 0.150429 | + | 0.0547516i | ||||
\(767\) | 15.9611 | − | 9.21513i | 0.576321 | − | 0.332739i | ||||
\(768\) | −1.66818 | − | 0.466031i | −0.0601952 | − | 0.0168164i | ||||
\(769\) | 15.1146 | − | 12.6826i | 0.545046 | − | 0.457348i | −0.328214 | − | 0.944604i | \(-0.606447\pi\) |
0.873259 | + | 0.487256i | \(0.162002\pi\) | |||||||
\(770\) | 1.63655 | − | 1.37323i | 0.0589773 | − | 0.0494878i | ||||
\(771\) | 35.8243 | + | 10.0081i | 1.29018 | + | 0.360431i | ||||
\(772\) | −3.41014 | + | 1.96884i | −0.122734 | + | 0.0708602i | ||||
\(773\) | 21.2188 | + | 7.72300i | 0.763186 | + | 0.277777i | 0.694143 | − | 0.719837i | \(-0.255783\pi\) |
0.0690426 | + | 0.997614i | \(0.478006\pi\) | |||||||
\(774\) | 4.54862 | + | 13.3745i | 0.163497 | + | 0.480737i | ||||
\(775\) | 1.23959 | − | 0.218573i | 0.0445274 | − | 0.00785138i | ||||
\(776\) | 1.88354 | + | 5.17497i | 0.0676150 | + | 0.185771i | ||||
\(777\) | 34.1775 | + | 16.3814i | 1.22611 | + | 0.587678i | ||||
\(778\) | − | 33.6500i | − | 1.20641i | ||||||
\(779\) | −34.4434 | − | 9.17715i | −1.23406 | − | 0.328806i | ||||
\(780\) | 2.30810 | + | 8.99499i | 0.0826431 | + | 0.322072i | ||||
\(781\) | −7.43185 | + | 8.85694i | −0.265933 | + | 0.316926i | ||||
\(782\) | 10.2106 | − | 3.71634i | 0.365129 | − | 0.132896i | ||||
\(783\) | 7.31644 | − | 9.77100i | 0.261468 | − | 0.349187i | ||||
\(784\) | 0.0822561 | − | 0.466497i | 0.00293772 | − | 0.0166606i | ||||
\(785\) | 1.14550 | − | 3.14724i | 0.0408848 | − | 0.112330i | ||||
\(786\) | −15.6014 | − | 15.9364i | −0.556483 | − | 0.568431i | ||||
\(787\) | 14.5793 | + | 8.41738i | 0.519697 | + | 0.300047i | 0.736811 | − | 0.676099i | \(-0.236331\pi\) |
−0.217114 | + | 0.976146i | \(0.569664\pi\) | |||||||
\(788\) | 16.3951 | + | 19.5390i | 0.584053 | + | 0.696047i | ||||
\(789\) | 9.55347 | − | 13.3399i | 0.340112 | − | 0.474915i | ||||
\(790\) | 0.239866 | − | 0.415460i | 0.00853405 | − | 0.0147814i | ||||
\(791\) | −1.70949 | − | 2.96092i | −0.0607823 | − | 0.105278i | ||||
\(792\) | 0.357970 | + | 2.31690i | 0.0127199 | + | 0.0823274i | ||||
\(793\) | 36.0436 | + | 6.35546i | 1.27995 | + | 0.225689i | ||||
\(794\) | 6.15137 | + | 34.8862i | 0.218304 | + | 1.23806i | ||||
\(795\) | 7.37019 | − | 5.04486i | 0.261394 | − | 0.178923i | ||||
\(796\) | 15.2010 | + | 12.7551i | 0.538784 | + | 0.452094i | ||||
\(797\) | −43.1773 | −1.52942 | −0.764709 | − | 0.644376i | \(-0.777117\pi\) | ||||
−0.764709 | + | 0.644376i | \(0.777117\pi\) | |||||||
\(798\) | 20.2923 | + | 3.77119i | 0.718341 | + | 0.133499i | ||||
\(799\) | 4.07621 | 0.144206 | ||||||||
\(800\) | −0.766044 | − | 0.642788i | −0.0270838 | − | 0.0227260i | ||||
\(801\) | 32.2594 | − | 36.8276i | 1.13983 | − | 1.30124i | ||||
\(802\) | 3.53849 | + | 20.0677i | 0.124948 | + | 0.708617i | ||||
\(803\) | 4.83809 | + | 0.853086i | 0.170732 | + | 0.0301047i | ||||
\(804\) | 14.3998 | + | 1.41408i | 0.507843 | + | 0.0498707i | ||||
\(805\) | 4.42284 | + | 7.66058i | 0.155885 | + | 0.270000i | ||||
\(806\) | −3.37429 | + | 5.84445i | −0.118854 | + | 0.205862i | ||||
\(807\) | 21.3809 | + | 15.3121i | 0.752644 | + | 0.539010i | ||||
\(808\) | 6.53609 | + | 7.78941i | 0.229939 | + | 0.274031i | ||||
\(809\) | 30.1850 | + | 17.4273i | 1.06125 | + | 0.612711i | 0.925777 | − | 0.378071i | \(-0.123412\pi\) |
0.135470 | + | 0.990781i | \(0.456746\pi\) | |||||||
\(810\) | 0.382228 | − | 8.99188i | 0.0134301 | − | 0.315942i | ||||
\(811\) | −11.0768 | + | 30.4333i | −0.388959 | + | 1.06866i | 0.578512 | + | 0.815674i | \(0.303634\pi\) |
−0.967471 | + | 0.252982i | \(0.918589\pi\) | |||||||
\(812\) | −1.11520 | + | 6.32462i | −0.0391359 | + | 0.221951i | ||||
\(813\) | 16.8472 | − | 7.63922i | 0.590858 | − | 0.267919i | ||||
\(814\) | 5.87776 | − | 2.13933i | 0.206015 | − | 0.0749834i | ||||
\(815\) | 1.28983 | − | 1.53716i | 0.0451807 | − | 0.0538443i | ||||
\(816\) | 5.63397 | − | 1.44567i | 0.197228 | − | 0.0506084i | ||||
\(817\) | 14.4935 | − | 14.5344i | 0.507064 | − | 0.508493i | ||||
\(818\) | − | 30.6671i | − | 1.07225i | ||||||
\(819\) | 8.55368 | − | 43.1319i | 0.298890 | − | 1.50715i | ||||
\(820\) | −2.79688 | − | 7.68435i | −0.0976712 | − | 0.268349i | ||||
\(821\) | −1.40900 | + | 0.248444i | −0.0491743 | + | 0.00867075i | −0.198181 | − | 0.980165i | \(-0.563503\pi\) |
0.149007 | + | 0.988836i | \(0.452392\pi\) | |||||||
\(822\) | 2.41033 | + | 31.3860i | 0.0840698 | + | 1.09471i | ||||
\(823\) | −8.60472 | − | 3.13186i | −0.299942 | − | 0.109170i | 0.187666 | − | 0.982233i | \(-0.439908\pi\) |
−0.487607 | + | 0.873063i | \(0.662130\pi\) | |||||||
\(824\) | 10.1752 | − | 5.87466i | 0.354470 | − | 0.204653i | ||||
\(825\) | −0.364186 | + | 1.30362i | −0.0126793 | + | 0.0453862i | ||||
\(826\) | 7.19891 | − | 6.04060i | 0.250482 | − | 0.210179i | ||||
\(827\) | −15.0219 | + | 12.6049i | −0.522362 | + | 0.438314i | −0.865454 | − | 0.500988i | \(-0.832970\pi\) |
0.343092 | + | 0.939302i | \(0.388526\pi\) | |||||||
\(828\) | −9.70481 | − | 0.206173i | −0.337265 | − | 0.00716502i | ||||
\(829\) | −27.0740 | + | 15.6312i | −0.940318 | + | 0.542893i | −0.890060 | − | 0.455844i | \(-0.849338\pi\) |
−0.0502577 | + | 0.998736i | \(0.516004\pi\) | |||||||
\(830\) | 14.5511 | + | 5.29616i | 0.505076 | + | 0.183833i | ||||
\(831\) | 4.76685 | − | 0.366076i | 0.165360 | − | 0.0126991i | ||||
\(832\) | 5.28005 | − | 0.931015i | 0.183053 | − | 0.0322771i | ||||
\(833\) | 0.544064 | + | 1.49480i | 0.0188507 | + | 0.0517919i | ||||
\(834\) | −3.40144 | + | 7.09665i | −0.117782 | + | 0.245737i | ||||
\(835\) | − | 13.4518i | − | 0.465517i | ||||||
\(836\) | 2.78754 | − | 1.95771i | 0.0964092 | − | 0.0677088i | ||||
\(837\) | 4.76979 | − | 4.47513i | 0.164868 | − | 0.154683i | ||||
\(838\) | −10.3299 | + | 12.3107i | −0.356841 | + | 0.425267i | ||||
\(839\) | −18.7355 | + | 6.81915i | −0.646820 | + | 0.235423i | −0.644536 | − | 0.764574i | \(-0.722949\pi\) |
−0.00228403 | + | 0.999997i | \(0.500727\pi\) | |||||||
\(840\) | 1.95545 | + | 4.31246i | 0.0674693 | + | 0.148794i | ||||
\(841\) | −4.07750 | + | 23.1246i | −0.140603 | + | 0.797402i | ||||
\(842\) | 11.7063 | − | 32.1628i | 0.403426 | − | 1.10840i | ||||
\(843\) | −23.2778 | + | 22.7886i | −0.801732 | + | 0.784880i | ||||
\(844\) | 17.5424 | + | 10.1281i | 0.603834 | + | 0.348624i | ||||
\(845\) | −10.1211 | − | 12.0619i | −0.348178 | − | 0.414942i | ||||
\(846\) | −3.39464 | − | 1.31786i | −0.116710 | − | 0.0453089i | ||||
\(847\) | 14.2012 | − | 24.5972i | 0.487958 | − | 0.845169i | ||||
\(848\) | −2.57828 | − | 4.46571i | −0.0885385 | − | 0.153353i | ||||
\(849\) | −0.924871 | + | 9.41815i | −0.0317415 | + | 0.323230i | ||||
\(850\) | 3.30713 | + | 0.583137i | 0.113434 | + | 0.0200014i | ||||
\(851\) | 4.49729 | + | 25.5054i | 0.154165 | + | 0.874314i | ||||
\(852\) | −14.4747 | − | 21.1466i | −0.495896 | − | 0.724469i | ||||
\(853\) | 20.2110 | + | 16.9590i | 0.692011 | + | 0.580666i | 0.919488 | − | 0.393117i | \(-0.128603\pi\) |
−0.227478 | + | 0.973783i | \(0.573048\pi\) | |||||||
\(854\) | 18.6620 | 0.638600 | ||||||||
\(855\) | −11.9588 | + | 5.29031i | −0.408982 | + | 0.180925i | ||||
\(856\) | −1.34477 | −0.0459633 | ||||||||
\(857\) | −9.52082 | − | 7.98892i | −0.325225 | − | 0.272896i | 0.465526 | − | 0.885034i | \(-0.345865\pi\) |
−0.790751 | + | 0.612138i | \(0.790310\pi\) | |||||||
\(858\) | −4.09906 | − | 5.98844i | −0.139940 | − | 0.204442i | ||||
\(859\) | 8.19991 | + | 46.5040i | 0.279777 | + | 1.58670i | 0.723365 | + | 0.690466i | \(0.242594\pi\) |
−0.443588 | + | 0.896231i | \(0.646295\pi\) | |||||||
\(860\) | 4.63741 | + | 0.817700i | 0.158134 | + | 0.0278834i | ||||
\(861\) | −3.78426 | + | 38.5359i | −0.128967 | + | 1.31330i | ||||
\(862\) | −12.1289 | − | 21.0078i | −0.413112 | − | 0.715530i | ||||
\(863\) | 17.0133 | − | 29.4678i | 0.579138 | − | 1.00310i | −0.416440 | − | 0.909163i | \(-0.636723\pi\) |
0.995578 | − | 0.0939336i | \(-0.0299441\pi\) | |||||||
\(864\) | −5.15933 | − | 0.617546i | −0.175524 | − | 0.0210093i | ||||
\(865\) | 14.9613 | + | 17.8302i | 0.508700 | + | 0.606245i | ||||
\(866\) | 13.0112 | + | 7.51200i | 0.442137 | + | 0.255268i | ||||
\(867\) | 7.08302 | − | 6.93415i | 0.240552 | − | 0.235496i | ||||
\(868\) | −1.17692 | + | 3.23355i | −0.0399472 | + | 0.109754i | ||||
\(869\) | −0.0650995 | + | 0.369197i | −0.00220835 | + | 0.0125242i | ||||
\(870\) | −1.68033 | − | 3.70572i | −0.0569684 | − | 0.125636i | ||||
\(871\) | −42.0875 | + | 15.3186i | −1.42608 | + | 0.519051i | ||||
\(872\) | 3.32762 | − | 3.96571i | 0.112687 | − | 0.134296i | ||||
\(873\) | 7.95488 | + | 14.4801i | 0.269232 | + | 0.490076i | ||||
\(874\) | 5.97856 | + | 12.7741i | 0.202228 | + | 0.432091i | ||||
\(875\) | 2.73381i | 0.0924195i | ||||||||
\(876\) | −4.70629 | + | 9.81905i | −0.159011 | + | 0.331755i | ||||
\(877\) | −0.252654 | − | 0.694160i | −0.00853151 | − | 0.0234401i | 0.935354 | − | 0.353714i | \(-0.115081\pi\) |
−0.943885 | + | 0.330273i | \(0.892859\pi\) | |||||||
\(878\) | 32.5806 | − | 5.74483i | 1.09954 | − | 0.193879i | ||||
\(879\) | −33.2087 | + | 2.55030i | −1.12010 | + | 0.0860195i | ||||
\(880\) | 0.734335 | + | 0.267276i | 0.0247544 | + | 0.00900988i | ||||
\(881\) | 31.7476 | − | 18.3295i | 1.06960 | − | 0.617536i | 0.141530 | − | 0.989934i | \(-0.454798\pi\) |
0.928073 | + | 0.372398i | \(0.121464\pi\) | |||||||
\(882\) | 0.0301833 | − | 1.42076i | 0.00101632 | − | 0.0478395i | ||||
\(883\) | −13.9478 | + | 11.7036i | −0.469382 | + | 0.393859i | −0.846569 | − | 0.532279i | \(-0.821336\pi\) |
0.377187 | + | 0.926137i | \(0.376891\pi\) | |||||||
\(884\) | −13.7924 | + | 11.5732i | −0.463890 | + | 0.389250i | ||||
\(885\) | −1.60199 | + | 5.73439i | −0.0538503 | + | 0.192759i | ||||
\(886\) | 1.41131 | − | 0.814820i | 0.0474139 | − | 0.0273744i | ||||
\(887\) | −42.3234 | − | 15.4045i | −1.42108 | − | 0.517232i | −0.486720 | − | 0.873558i | \(-0.661807\pi\) |
−0.934362 | + | 0.356326i | \(0.884029\pi\) | |||||||
\(888\) | 1.06155 | + | 13.8230i | 0.0356233 | + | 0.463868i | ||||
\(889\) | −57.5272 | + | 10.1436i | −1.92940 | + | 0.340205i | ||||
\(890\) | −5.58160 | − | 15.3353i | −0.187096 | − | 0.514041i | ||||
\(891\) | 2.12263 | + | 6.70522i | 0.0711109 | + | 0.224633i | ||||
\(892\) | 24.5582i | 0.822270i | ||||||||
\(893\) | 0.468551 | + | 5.27016i | 0.0156795 | + | 0.176359i | ||||
\(894\) | 36.9854 | − | 9.49037i | 1.23698 | − | 0.317405i | ||||
\(895\) | 1.10066 | − | 1.31172i | 0.0367911 | − | 0.0438459i | ||||
\(896\) | 2.56894 | − | 0.935017i | 0.0858222 | − | 0.0312367i | ||||
\(897\) | 27.3658 | − | 12.4088i | 0.913716 | − | 0.414316i | ||||
\(898\) | −5.41032 | + | 30.6834i | −0.180545 | + | 1.02392i | ||||
\(899\) | 1.01133 | − | 2.77861i | 0.0337298 | − | 0.0926718i | ||||
\(900\) | −2.56563 | − | 1.55484i | −0.0855210 | − | 0.0518281i | ||||
\(901\) | 14.9965 | + | 8.65825i | 0.499607 | + | 0.288448i | ||||
\(902\) | 4.10769 | + | 4.89535i | 0.136771 | + | 0.162997i | ||||
\(903\) | −18.1280 | − | 12.9825i | −0.603263 | − | 0.432029i | ||||
\(904\) | 0.625314 | − | 1.08308i | 0.0207976 | − | 0.0360225i | ||||
\(905\) | 3.73543 | + | 6.46995i | 0.124170 | + | 0.215068i | ||||
\(906\) | −1.58039 | − | 0.155195i | −0.0525048 | − | 0.00515602i | ||||
\(907\) | −10.4233 | − | 1.83790i | −0.346099 | − | 0.0610265i | −0.00210298 | − | 0.999998i | \(-0.500669\pi\) |
−0.343996 | + | 0.938971i | \(0.611781\pi\) | |||||||
\(908\) | −2.24850 | − | 12.7519i | −0.0746190 | − | 0.423185i | ||||
\(909\) | 22.9465 | + | 20.1002i | 0.761087 | + | 0.666681i | ||||
\(910\) | −11.2281 | − | 9.42153i | −0.372209 | − | 0.312321i | ||||
\(911\) | −6.25956 | −0.207388 | −0.103694 | − | 0.994609i | \(-0.533066\pi\) | ||||
−0.103694 | + | 0.994609i | \(0.533066\pi\) | |||||||
\(912\) | 2.51672 | + | 7.11801i | 0.0833369 | + | 0.235701i | ||||
\(913\) | −12.1009 | −0.400482 | ||||||||
\(914\) | −3.04576 | − | 2.55570i | −0.100745 | − | 0.0845349i | ||||
\(915\) | −9.75682 | + | 6.67851i | −0.322551 | + | 0.220785i | ||||
\(916\) | 3.04006 | + | 17.2411i | 0.100447 | + | 0.569661i | ||||
\(917\) | 34.6656 | + | 6.11248i | 1.14476 | + | 0.201852i | ||||
\(918\) | 16.0415 | − | 6.86693i | 0.529448 | − | 0.226642i | ||||
\(919\) | −22.2366 | − | 38.5149i | −0.733517 | − | 1.27049i | −0.955371 | − | 0.295408i | \(-0.904544\pi\) |
0.221855 | − | 0.975080i | \(-0.428789\pi\) | |||||||
\(920\) | −1.61783 | + | 2.80217i | −0.0533384 | + | 0.0923847i | ||||
\(921\) | −18.0900 | + | 25.2599i | −0.596084 | + | 0.832340i | ||||
\(922\) | −12.0623 | − | 14.3753i | −0.397250 | − | 0.473424i | ||||
\(923\) | 68.6971 | + | 39.6623i | 2.26119 | + | 1.30550i | ||||
\(924\) | −2.58857 | − | 2.64415i | −0.0851577 | − | 0.0869861i | ||||
\(925\) | −2.73759 | + | 7.52148i | −0.0900115 | + | 0.247305i | ||||
\(926\) | 4.12930 | − | 23.4184i | 0.135697 | − | 0.769578i | ||||
\(927\) | 27.4766 | − | 22.0783i | 0.902451 | − | 0.725147i | ||||
\(928\) | −2.20750 | + | 0.803465i | −0.0724648 | + | 0.0263750i | ||||
\(929\) | −17.8487 | + | 21.2712i | −0.585595 | + | 0.697886i | −0.974753 | − | 0.223286i | \(-0.928322\pi\) |
0.389158 | + | 0.921171i | \(0.372766\pi\) | |||||||
\(930\) | −0.541868 | − | 2.11174i | −0.0177686 | − | 0.0692467i | ||||
\(931\) | −1.87010 | + | 0.875247i | −0.0612900 | + | 0.0286851i | ||||
\(932\) | − | 29.6322i | − | 0.970636i | ||||||
\(933\) | −4.74327 | − | 2.27346i | −0.155288 | − | 0.0744298i | ||||
\(934\) | −5.07781 | − | 13.9512i | −0.166151 | − | 0.456496i | ||||
\(935\) | −2.58440 | + | 0.455700i | −0.0845191 | + | 0.0149030i | ||||
\(936\) | 15.2279 | − | 5.17896i | 0.497740 | − | 0.169280i | ||||
\(937\) | 6.07991 | + | 2.21291i | 0.198622 | + | 0.0722925i | 0.439416 | − | 0.898284i | \(-0.355186\pi\) |
−0.240794 | + | 0.970576i | \(0.577408\pi\) | |||||||
\(938\) | −19.7779 | + | 11.4187i | −0.645770 | + | 0.372835i | ||||
\(939\) | −49.0222 | − | 13.6951i | −1.59978 | − | 0.446923i | ||||
\(940\) | −0.929844 | + | 0.780232i | −0.0303282 | + | 0.0254484i | ||||
\(941\) | −21.1990 | + | 17.7880i | −0.691066 | + | 0.579873i | −0.919216 | − | 0.393753i | \(-0.871177\pi\) |
0.228150 | + | 0.973626i | \(0.426732\pi\) | |||||||
\(942\) | −5.58711 | − | 1.56084i | −0.182038 | − | 0.0508550i | ||||
\(943\) | −22.9148 | + | 13.2299i | −0.746208 | + | 0.430823i | ||||
\(944\) | 3.23021 | + | 1.17570i | 0.105134 | + | 0.0382658i | ||||
\(945\) | 7.77298 | + | 11.8899i | 0.252855 | + | 0.386780i | ||||
\(946\) | −3.62397 | + | 0.639003i | −0.117825 | + | 0.0207758i | ||||
\(947\) | 1.43753 | + | 3.94957i | 0.0467133 | + | 0.128344i | 0.960856 | − | 0.277050i | \(-0.0893567\pi\) |
−0.914142 | + | 0.405394i | \(0.867134\pi\) | |||||||
\(948\) | −0.749297 | − | 0.359140i | −0.0243360 | − | 0.0116643i | ||||
\(949\) | − | 33.7055i | − | 1.09413i | ||||||
\(950\) | −0.373794 | + | 4.34284i | −0.0121275 | + | 0.140900i | ||||
\(951\) | −1.29044 | − | 5.02905i | −0.0418455 | − | 0.163078i | ||||
\(952\) | −5.90114 | + | 7.03270i | −0.191257 | + | 0.227931i | ||||
\(953\) | 22.9891 | − | 8.36735i | 0.744691 | − | 0.271045i | 0.0583207 | − | 0.998298i | \(-0.481425\pi\) |
0.686370 | + | 0.727253i | \(0.259203\pi\) | |||||||
\(954\) | −9.68977 | − | 12.0590i | −0.313718 | − | 0.390424i | ||||
\(955\) | 0.846201 | − | 4.79905i | 0.0273824 | − | 0.155293i | ||||
\(956\) | 0.684889 | − | 1.88172i | 0.0221509 | − | 0.0608591i | ||||
\(957\) | 2.22437 | + | 2.27213i | 0.0719038 | + | 0.0734476i | ||||
\(958\) | −1.15544 | − | 0.667096i | −0.0373307 | − | 0.0215529i | ||||
\(959\) | −31.9365 | − | 38.0604i | −1.03128 | − | 1.22904i | ||||
\(960\) | −1.00848 | + | 1.40818i | −0.0325484 | + | 0.0454489i | ||||
\(961\) | −14.7078 | + | 25.4747i | −0.474446 | + | 0.821764i | ||||
\(962\) | −21.4572 | − | 37.1650i | −0.691809 | − | 1.19825i | ||||
\(963\) | −3.98701 | + | 0.616007i | −0.128479 | + | 0.0198506i | ||||
\(964\) | 6.14446 | + | 1.08343i | 0.197900 | + | 0.0348951i | ||||
\(965\) | 0.683772 | + | 3.87786i | 0.0220114 | + | 0.124833i | ||||
\(966\) | 12.6430 | − | 8.65407i | 0.406781 | − | 0.278440i | ||||
\(967\) | 8.75165 | + | 7.34350i | 0.281434 | + | 0.236151i | 0.772567 | − | 0.634934i | \(-0.218973\pi\) |
−0.491133 | + | 0.871085i | \(0.663417\pi\) | |||||||
\(968\) | 10.3893 | 0.333925 | ||||||||
\(969\) | −19.2709 | − | 16.4752i | −0.619071 | − | 0.529259i | ||||
\(970\) | 5.50709 | 0.176822 | ||||||||
\(971\) | −10.6375 | − | 8.92595i | −0.341375 | − | 0.286447i | 0.455941 | − | 0.890010i | \(-0.349303\pi\) |
−0.797315 | + | 0.603563i | \(0.793747\pi\) | |||||||
\(972\) | −15.5794 | + | 0.532450i | −0.499708 | + | 0.0170783i | ||||
\(973\) | −2.15693 | − | 12.2325i | −0.0691479 | − | 0.392157i | ||||
\(974\) | −9.85735 | − | 1.73812i | −0.315850 | − | 0.0556929i | ||||
\(975\) | 9.24194 | + | 0.907567i | 0.295979 | + | 0.0290654i | ||||
\(976\) | 3.41319 | + | 5.91181i | 0.109253 | + | 0.189232i | ||||
\(977\) | −19.3968 | + | 33.5963i | −0.620560 | + | 1.07484i | 0.368821 | + | 0.929500i | \(0.379761\pi\) |
−0.989382 | + | 0.145341i | \(0.953572\pi\) | |||||||
\(978\) | −2.82568 | − | 2.02363i | −0.0903554 | − | 0.0647084i | ||||
\(979\) | 8.19754 | + | 9.76945i | 0.261994 | + | 0.312233i | ||||
\(980\) | −0.410231 | − | 0.236847i | −0.0131043 | − | 0.00756580i | ||||
\(981\) | 8.04921 | − | 13.2819i | 0.256991 | − | 0.424059i | ||||
\(982\) | −3.24848 | + | 8.92512i | −0.103663 | + | 0.284812i | ||||
\(983\) | −4.31240 | + | 24.4568i | −0.137544 | + | 0.780052i | 0.835510 | + | 0.549475i | \(0.185172\pi\) |
−0.973054 | + | 0.230577i | \(0.925939\pi\) | |||||||
\(984\) | −12.8997 | + | 5.84924i | −0.411227 | + | 0.186467i | ||||
\(985\) | 23.9681 | − | 8.72367i | 0.763687 | − | 0.277959i | ||||
\(986\) | 5.07088 | − | 6.04324i | 0.161490 | − | 0.192456i | ||||
\(987\) | 5.56722 | − | 1.42854i | 0.177206 | − | 0.0454708i | ||||
\(988\) | −16.5485 | − | 16.5020i | −0.526478 | − | 0.524998i | ||||
\(989\) | − | 15.2366i | − | 0.484495i | ||||||
\(990\) | 2.29961 | + | 0.456045i | 0.0730863 | + | 0.0144941i | ||||
\(991\) | 17.2555 | + | 47.4092i | 0.548140 | + | 1.50600i | 0.836219 | + | 0.548395i | \(0.184761\pi\) |
−0.288080 | + | 0.957606i | \(0.593017\pi\) | |||||||
\(992\) | −1.23959 | + | 0.218573i | −0.0393570 | + | 0.00693970i | ||||
\(993\) | −1.00835 | − | 13.1302i | −0.0319990 | − | 0.416674i | ||||
\(994\) | 38.0080 | + | 13.8338i | 1.20554 | + | 0.438780i | ||||
\(995\) | 17.1850 | − | 9.92174i | 0.544800 | − | 0.314540i | ||||
\(996\) | 7.21646 | − | 25.8316i | 0.228662 | − | 0.818507i | ||||
\(997\) | 11.0692 | − | 9.28817i | 0.350565 | − | 0.294159i | −0.450452 | − | 0.892801i | \(-0.648737\pi\) |
0.801017 | + | 0.598642i | \(0.204293\pi\) | |||||||
\(998\) | −29.6921 | + | 24.9146i | −0.939886 | + | 0.788658i | ||||
\(999\) | 9.47928 | + | 40.4963i | 0.299911 | + | 1.28125i |
(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 | 570.2.bb.a.41.5 | ✓ | 84 | |
3.2 | odd | 2 | 570.2.bb.b.41.6 | yes | 84 | ||
19.13 | odd | 18 | 570.2.bb.b.431.6 | yes | 84 | ||
57.32 | even | 18 | inner | 570.2.bb.a.431.5 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bb.a.41.5 | ✓ | 84 | 1.1 | even | 1 | trivial | |
570.2.bb.a.431.5 | yes | 84 | 57.32 | even | 18 | inner | |
570.2.bb.b.41.6 | yes | 84 | 3.2 | odd | 2 | ||
570.2.bb.b.431.6 | yes | 84 | 19.13 | odd | 18 |