Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(208,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.208");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.n (of order \(12\), degree \(4\), 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: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 208.10 | ||
Character | \(\chi\) | \(=\) | 731.208 |
Dual form | 731.2.n.a.608.55 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.21617i | − | 1.56707i | −0.621347 | − | 0.783536i | \(-0.713414\pi\) | ||
0.621347 | − | 0.783536i | \(-0.286586\pi\) | |||||||
\(3\) | −0.0692057 | − | 0.0185436i | −0.0399559 | − | 0.0107062i | 0.238786 | − | 0.971072i | \(-0.423251\pi\) |
−0.278742 | + | 0.960366i | \(0.589917\pi\) | |||||||
\(4\) | −2.91143 | −1.45571 | ||||||||
\(5\) | −1.25645 | − | 0.336665i | −0.561901 | − | 0.150561i | −0.0333215 | − | 0.999445i | \(-0.510609\pi\) |
−0.528580 | + | 0.848884i | \(0.677275\pi\) | |||||||
\(6\) | −0.0410959 | + | 0.153372i | −0.0167773 | + | 0.0626138i | ||||
\(7\) | 0.0334492 | − | 0.00896268i | 0.0126426 | − | 0.00338757i | −0.252492 | − | 0.967599i | \(-0.581250\pi\) |
0.265135 | + | 0.964211i | \(0.414584\pi\) | |||||||
\(8\) | 2.01988i | 0.714136i | ||||||||
\(9\) | −2.59363 | − | 1.49743i | −0.864544 | − | 0.499144i | ||||
\(10\) | −0.746107 | + | 2.78451i | −0.235940 | + | 0.880539i | ||||
\(11\) | 1.16878 | + | 1.16878i | 0.352399 | + | 0.352399i | 0.861001 | − | 0.508602i | \(-0.169838\pi\) |
−0.508602 | + | 0.861001i | \(0.669838\pi\) | |||||||
\(12\) | 0.201487 | + | 0.0539884i | 0.0581644 | + | 0.0155851i | ||||
\(13\) | 0.160715 | − | 0.278367i | 0.0445743 | − | 0.0772050i | −0.842877 | − | 0.538106i | \(-0.819140\pi\) |
0.887452 | + | 0.460901i | \(0.152474\pi\) | |||||||
\(14\) | −0.0198629 | − | 0.0741292i | −0.00530857 | − | 0.0198119i | ||||
\(15\) | 0.0807105 | + | 0.0465982i | 0.0208394 | + | 0.0120316i | ||||
\(16\) | −1.34644 | −0.336611 | ||||||||
\(17\) | −4.09840 | − | 0.450672i | −0.994008 | − | 0.109304i | ||||
\(18\) | −3.31857 | + | 5.74794i | −0.782195 | + | 1.35480i | ||||
\(19\) | −1.99124 | + | 1.14964i | −0.456821 | + | 0.263746i | −0.710707 | − | 0.703489i | \(-0.751625\pi\) |
0.253886 | + | 0.967234i | \(0.418291\pi\) | |||||||
\(20\) | 3.65806 | + | 0.980174i | 0.817967 | + | 0.219174i | ||||
\(21\) | −0.00248108 | −0.000541415 | ||||||||
\(22\) | 2.59021 | − | 2.59021i | 0.552234 | − | 0.552234i | ||||
\(23\) | −1.55573 | + | 5.80606i | −0.324392 | + | 1.21065i | 0.590529 | + | 0.807016i | \(0.298919\pi\) |
−0.914921 | + | 0.403632i | \(0.867748\pi\) | |||||||
\(24\) | 0.0374559 | − | 0.139787i | 0.00764566 | − | 0.0285340i | ||||
\(25\) | −2.86481 | − | 1.65400i | −0.572961 | − | 0.330799i | ||||
\(26\) | −0.616909 | − | 0.356173i | −0.120986 | − | 0.0698512i | ||||
\(27\) | 0.303713 | + | 0.303713i | 0.0584495 | + | 0.0584495i | ||||
\(28\) | −0.0973849 | + | 0.0260942i | −0.0184040 | + | 0.00493134i | ||||
\(29\) | 1.16844 | + | 4.36068i | 0.216974 | + | 0.809758i | 0.985462 | + | 0.169894i | \(0.0543425\pi\) |
−0.768488 | + | 0.639864i | \(0.778991\pi\) | |||||||
\(30\) | 0.103270 | − | 0.178869i | 0.0188544 | − | 0.0326568i | ||||
\(31\) | 5.50658 | + | 1.47548i | 0.989011 | + | 0.265005i | 0.716835 | − | 0.697243i | \(-0.245590\pi\) |
0.272176 | + | 0.962248i | \(0.412257\pi\) | |||||||
\(32\) | 7.02372i | 1.24163i | ||||||||
\(33\) | −0.0592126 | − | 0.102559i | −0.0103076 | − | 0.0178533i | ||||
\(34\) | −0.998767 | + | 9.08277i | −0.171287 | + | 1.55768i | ||||
\(35\) | −0.0450446 | −0.00761393 | ||||||||
\(36\) | 7.55117 | + | 4.35967i | 1.25853 | + | 0.726612i | ||||
\(37\) | 1.17164 | + | 0.313940i | 0.192616 | + | 0.0516114i | 0.353837 | − | 0.935307i | \(-0.384877\pi\) |
−0.161221 | + | 0.986918i | \(0.551543\pi\) | |||||||
\(38\) | 2.54780 | + | 4.41292i | 0.413308 | + | 0.715871i | ||||
\(39\) | −0.0162843 | + | 0.0162843i | −0.00260758 | + | 0.00260758i | ||||
\(40\) | 0.680023 | − | 2.53788i | 0.107521 | − | 0.401274i | ||||
\(41\) | −8.15331 | − | 8.15331i | −1.27333 | − | 1.27333i | −0.944329 | − | 0.329004i | \(-0.893287\pi\) |
−0.329004 | − | 0.944329i | \(-0.606713\pi\) | |||||||
\(42\) | 0.00549849i | 0.000848436i | ||||||||
\(43\) | 5.85320 | − | 2.95635i | 0.892605 | − | 0.450839i | ||||
\(44\) | −3.40280 | − | 3.40280i | −0.512992 | − | 0.512992i | ||||
\(45\) | 2.75463 | + | 2.75463i | 0.410636 | + | 0.410636i | ||||
\(46\) | 12.8673 | + | 3.44777i | 1.89717 | + | 0.508346i | ||||
\(47\) | 1.08884 | 0.158824 | 0.0794121 | − | 0.996842i | \(-0.474696\pi\) | ||||
0.0794121 | + | 0.996842i | \(0.474696\pi\) | |||||||
\(48\) | 0.0931816 | + | 0.0249679i | 0.0134496 | + | 0.00360381i | ||||
\(49\) | −6.06114 | + | 3.49940i | −0.865877 | + | 0.499914i | ||||
\(50\) | −3.66554 | + | 6.34891i | −0.518386 | + | 0.897871i | ||||
\(51\) | 0.275276 | + | 0.107188i | 0.0385463 | + | 0.0150094i | ||||
\(52\) | −0.467910 | + | 0.810445i | −0.0648875 | + | 0.112388i | ||||
\(53\) | −3.27638 | + | 1.89162i | −0.450045 | + | 0.259834i | −0.707849 | − | 0.706363i | \(-0.750334\pi\) |
0.257804 | + | 0.966197i | \(0.417001\pi\) | |||||||
\(54\) | 0.673080 | − | 0.673080i | 0.0915946 | − | 0.0915946i | ||||
\(55\) | −1.07502 | − | 1.86199i | −0.144956 | − | 0.251071i | ||||
\(56\) | 0.0181036 | + | 0.0675634i | 0.00241919 | + | 0.00902854i | ||||
\(57\) | 0.159123 | − | 0.0426370i | 0.0210764 | − | 0.00564741i | ||||
\(58\) | 9.66402 | − | 2.58947i | 1.26895 | − | 0.340014i | ||||
\(59\) | 5.70413i | 0.742615i | 0.928510 | + | 0.371307i | \(0.121090\pi\) | ||||
−0.928510 | + | 0.371307i | \(0.878910\pi\) | |||||||
\(60\) | −0.234983 | − | 0.135667i | −0.0303362 | − | 0.0175146i | ||||
\(61\) | −0.925838 | + | 0.248078i | −0.118541 | + | 0.0317631i | −0.317602 | − | 0.948224i | \(-0.602878\pi\) |
0.199061 | + | 0.979987i | \(0.436211\pi\) | |||||||
\(62\) | 3.26993 | − | 12.2035i | 0.415281 | − | 1.54985i | ||||
\(63\) | −0.100176 | − | 0.0268420i | −0.0126210 | − | 0.00338178i | ||||
\(64\) | 12.8729 | 1.60911 | ||||||||
\(65\) | −0.295647 | + | 0.295647i | −0.0366704 | + | 0.0366704i | ||||
\(66\) | −0.227289 | + | 0.131225i | −0.0279774 | + | 0.0161527i | ||||
\(67\) | −5.73331 | − | 9.93038i | −0.700435 | − | 1.21319i | −0.968314 | − | 0.249736i | \(-0.919656\pi\) |
0.267879 | − | 0.963453i | \(-0.413677\pi\) | |||||||
\(68\) | 11.9322 | + | 1.31210i | 1.44699 | + | 0.159115i | ||||
\(69\) | 0.215331 | − | 0.372964i | 0.0259228 | − | 0.0448996i | ||||
\(70\) | 0.0998267i | 0.0119316i | ||||||||
\(71\) | −3.20016 | − | 11.9431i | −0.379789 | − | 1.41739i | −0.846220 | − | 0.532834i | \(-0.821127\pi\) |
0.466431 | − | 0.884557i | \(-0.345540\pi\) | |||||||
\(72\) | 3.02464 | − | 5.23883i | 0.356457 | − | 0.617402i | ||||
\(73\) | 0.890830 | + | 3.32462i | 0.104264 | + | 0.389118i | 0.998261 | − | 0.0589555i | \(-0.0187770\pi\) |
−0.893997 | + | 0.448073i | \(0.852110\pi\) | |||||||
\(74\) | 0.695745 | − | 2.59656i | 0.0808787 | − | 0.301844i | ||||
\(75\) | 0.167590 | + | 0.167590i | 0.0193516 | + | 0.0193516i | ||||
\(76\) | 5.79734 | − | 3.34709i | 0.665000 | − | 0.383938i | ||||
\(77\) | 0.0495699 | + | 0.0286192i | 0.00564902 | + | 0.00326146i | ||||
\(78\) | 0.0360889 | + | 0.0360889i | 0.00408627 | + | 0.00408627i | ||||
\(79\) | −7.35398 | + | 1.97049i | −0.827388 | + | 0.221698i | −0.647574 | − | 0.762003i | \(-0.724216\pi\) |
−0.179814 | + | 0.983701i | \(0.557550\pi\) | |||||||
\(80\) | 1.69174 | + | 0.453300i | 0.189142 | + | 0.0506805i | ||||
\(81\) | 4.47691 | + | 7.75424i | 0.497435 | + | 0.861582i | ||||
\(82\) | −18.0691 | + | 18.0691i | −1.99540 | + | 1.99540i | ||||
\(83\) | −12.5047 | + | 7.21959i | −1.37257 | + | 0.792453i | −0.991251 | − | 0.131992i | \(-0.957863\pi\) |
−0.381317 | + | 0.924444i | \(0.624529\pi\) | |||||||
\(84\) | 0.00722347 | 0.000788145 | ||||||||
\(85\) | 4.99771 | + | 1.94603i | 0.542078 | + | 0.211077i | ||||
\(86\) | −6.55178 | − | 12.9717i | −0.706497 | − | 1.39878i | ||||
\(87\) | − | 0.323451i | − | 0.0346776i | ||||||
\(88\) | −2.36079 | + | 2.36079i | −0.251661 | + | 0.251661i | ||||
\(89\) | −5.98865 | − | 10.3727i | −0.634796 | − | 1.09950i | −0.986558 | − | 0.163410i | \(-0.947751\pi\) |
0.351762 | − | 0.936089i | \(-0.385583\pi\) | |||||||
\(90\) | 6.10474 | − | 6.10474i | 0.643497 | − | 0.643497i | ||||
\(91\) | 0.00288088 | − | 0.0107516i | 0.000301998 | − | 0.00112707i | ||||
\(92\) | 4.52940 | − | 16.9039i | 0.472222 | − | 1.76236i | ||||
\(93\) | −0.353726 | − | 0.204224i | −0.0366797 | − | 0.0211770i | ||||
\(94\) | − | 2.41307i | − | 0.248889i | ||||||
\(95\) | 2.88893 | − | 0.774086i | 0.296398 | − | 0.0794196i | ||||
\(96\) | 0.130245 | − | 0.486082i | 0.0132931 | − | 0.0496105i | ||||
\(97\) | 7.65213 | − | 7.65213i | 0.776956 | − | 0.776956i | −0.202356 | − | 0.979312i | \(-0.564860\pi\) |
0.979312 | + | 0.202356i | \(0.0648598\pi\) | |||||||
\(98\) | 7.75528 | + | 13.4325i | 0.783402 | + | 1.35689i | ||||
\(99\) | −1.28121 | − | 4.78153i | −0.128766 | − | 0.480562i | ||||
\(100\) | 8.34067 | + | 4.81549i | 0.834067 | + | 0.481549i | ||||
\(101\) | 0.400801 | − | 0.694208i | 0.0398812 | − | 0.0690763i | −0.845396 | − | 0.534140i | \(-0.820635\pi\) |
0.885277 | + | 0.465064i | \(0.153969\pi\) | |||||||
\(102\) | 0.237548 | − | 0.610059i | 0.0235207 | − | 0.0604049i | ||||
\(103\) | 4.53299 | − | 7.85136i | 0.446648 | − | 0.773618i | −0.551517 | − | 0.834164i | \(-0.685951\pi\) |
0.998165 | + | 0.0605460i | \(0.0192842\pi\) | |||||||
\(104\) | 0.562268 | + | 0.324626i | 0.0551349 | + | 0.0318322i | ||||
\(105\) | 0.00311734 | 0.000835290i | 0.000304222 | 8.15160e-5i | ||||||
\(106\) | 4.19216 | + | 7.26103i | 0.407178 | + | 0.705253i | ||||
\(107\) | −2.23210 | + | 2.23210i | −0.215785 | + | 0.215785i | −0.806719 | − | 0.590935i | \(-0.798759\pi\) |
0.590935 | + | 0.806719i | \(0.298759\pi\) | |||||||
\(108\) | −0.884237 | − | 0.884237i | −0.0850858 | − | 0.0850858i | ||||
\(109\) | 3.61244 | − | 13.4818i | 0.346009 | − | 1.29132i | −0.545421 | − | 0.838162i | \(-0.683630\pi\) |
0.891430 | − | 0.453159i | \(-0.149703\pi\) | |||||||
\(110\) | −4.12650 | + | 2.38243i | −0.393446 | + | 0.227156i | ||||
\(111\) | −0.0752626 | − | 0.0434529i | −0.00714361 | − | 0.00412436i | ||||
\(112\) | −0.0450374 | + | 0.0120677i | −0.00425564 | + | 0.00114029i | ||||
\(113\) | −3.60473 | − | 3.60473i | −0.339104 | − | 0.339104i | 0.516926 | − | 0.856030i | \(-0.327076\pi\) |
−0.856030 | + | 0.516926i | \(0.827076\pi\) | |||||||
\(114\) | −0.0944910 | − | 0.352645i | −0.00884989 | − | 0.0330282i | ||||
\(115\) | 3.90939 | − | 6.77127i | 0.364553 | − | 0.631424i | ||||
\(116\) | −3.40183 | − | 12.6958i | −0.315852 | − | 1.17878i | ||||
\(117\) | −0.833671 | + | 0.481320i | −0.0770729 | + | 0.0444981i | ||||
\(118\) | 12.6413 | 1.16373 | ||||||||
\(119\) | −0.141127 | + | 0.0216581i | −0.0129371 | + | 0.00198539i | ||||
\(120\) | −0.0941230 | + | 0.163026i | −0.00859221 | + | 0.0148821i | ||||
\(121\) | − | 8.26793i | − | 0.751630i | ||||||
\(122\) | 0.549783 | + | 2.05182i | 0.0497750 | + | 0.185763i | ||||
\(123\) | 0.413064 | + | 0.715447i | 0.0372447 | + | 0.0645097i | ||||
\(124\) | −16.0320 | − | 4.29576i | −1.43972 | − | 0.385771i | ||||
\(125\) | 7.64156 | + | 7.64156i | 0.683482 | + | 0.683482i | ||||
\(126\) | −0.0594866 | + | 0.222007i | −0.00529949 | + | 0.0197780i | ||||
\(127\) | − | 2.81131i | − | 0.249464i | −0.992190 | − | 0.124732i | \(-0.960193\pi\) | ||
0.992190 | − | 0.124732i | \(-0.0398070\pi\) | |||||||
\(128\) | − | 14.4811i | − | 1.27996i | ||||||
\(129\) | −0.459897 | + | 0.0960566i | −0.0404916 | + | 0.00845731i | ||||
\(130\) | 0.655204 | + | 0.655204i | 0.0574652 | + | 0.0574652i | ||||
\(131\) | 3.92920 | − | 3.92920i | 0.343296 | − | 0.343296i | −0.514309 | − | 0.857605i | \(-0.671952\pi\) |
0.857605 | + | 0.514309i | \(0.171952\pi\) | |||||||
\(132\) | 0.172393 | + | 0.298594i | 0.0150049 | + | 0.0259893i | ||||
\(133\) | −0.0563013 | + | 0.0563013i | −0.00488194 | + | 0.00488194i | ||||
\(134\) | −22.0074 | + | 12.7060i | −1.90115 | + | 1.09763i | ||||
\(135\) | −0.279350 | − | 0.483849i | −0.0240426 | − | 0.0416431i | ||||
\(136\) | 0.910304 | − | 8.27829i | 0.0780579 | − | 0.709858i | ||||
\(137\) | −21.9104 | −1.87193 | −0.935965 | − | 0.352094i | \(-0.885470\pi\) | ||||
−0.935965 | + | 0.352094i | \(0.885470\pi\) | |||||||
\(138\) | −0.826553 | − | 0.477211i | −0.0703609 | − | 0.0406229i | ||||
\(139\) | 3.92536 | + | 1.05180i | 0.332945 | + | 0.0892123i | 0.421419 | − | 0.906866i | \(-0.361532\pi\) |
−0.0884739 | + | 0.996078i | \(0.528199\pi\) | |||||||
\(140\) | 0.131144 | 0.0110837 | ||||||||
\(141\) | −0.0753543 | − | 0.0201911i | −0.00634597 | − | 0.00170040i | ||||
\(142\) | −26.4681 | + | 7.09211i | −2.22115 | + | 0.595156i | ||||
\(143\) | 0.513188 | − | 0.137508i | 0.0429149 | − | 0.0114990i | ||||
\(144\) | 3.49218 | + | 2.01621i | 0.291015 | + | 0.168018i | ||||
\(145\) | − | 5.87234i | − | 0.487672i | ||||||
\(146\) | 7.36795 | − | 1.97423i | 0.609775 | − | 0.163389i | ||||
\(147\) | 0.484357 | − | 0.129783i | 0.0399491 | − | 0.0107043i | ||||
\(148\) | −3.41114 | − | 0.914013i | −0.280394 | − | 0.0751314i | ||||
\(149\) | −6.66493 | − | 11.5440i | −0.546012 | − | 0.945721i | −0.998542 | − | 0.0539716i | \(-0.982812\pi\) |
0.452530 | − | 0.891749i | \(-0.350521\pi\) | |||||||
\(150\) | 0.371408 | − | 0.371408i | 0.0303254 | − | 0.0303254i | ||||
\(151\) | 18.4917i | 1.50483i | 0.658688 | + | 0.752416i | \(0.271112\pi\) | ||||
−0.658688 | + | 0.752416i | \(0.728888\pi\) | |||||||
\(152\) | −2.32214 | − | 4.02206i | −0.188350 | − | 0.326232i | ||||
\(153\) | 9.95489 | + | 7.30596i | 0.804805 | + | 0.590652i | ||||
\(154\) | 0.0634251 | − | 0.109856i | 0.00511094 | − | 0.00885241i | ||||
\(155\) | −6.42199 | − | 3.70774i | −0.515827 | − | 0.297813i | ||||
\(156\) | 0.0474107 | − | 0.0474107i | 0.00379589 | − | 0.00379589i | ||||
\(157\) | 5.52857 | − | 9.57576i | 0.441228 | − | 0.764229i | −0.556553 | − | 0.830812i | \(-0.687876\pi\) |
0.997781 | + | 0.0665831i | \(0.0212098\pi\) | |||||||
\(158\) | 4.36696 | + | 16.2977i | 0.347417 | + | 1.29658i | ||||
\(159\) | 0.261822 | − | 0.0701549i | 0.0207638 | − | 0.00556365i | ||||
\(160\) | 2.36464 | − | 8.82495i | 0.186941 | − | 0.697673i | ||||
\(161\) | 0.208152i | 0.0164046i | ||||||||
\(162\) | 17.1847 | − | 9.92162i | 1.35016 | − | 0.779516i | ||||
\(163\) | −23.7522 | + | 6.36439i | −1.86042 | + | 0.498497i | −0.999940 | − | 0.0109919i | \(-0.996501\pi\) |
−0.860477 | + | 0.509489i | \(0.829834\pi\) | |||||||
\(164\) | 23.7378 | + | 23.7378i | 1.85361 | + | 1.85361i | ||||
\(165\) | 0.0398696 | + | 0.148795i | 0.00310384 | + | 0.0115837i | ||||
\(166\) | 15.9999 | + | 27.7126i | 1.24183 | + | 2.15091i | ||||
\(167\) | −12.9383 | − | 3.46681i | −1.00120 | − | 0.268270i | −0.279250 | − | 0.960218i | \(-0.590086\pi\) |
−0.721947 | + | 0.691948i | \(0.756753\pi\) | |||||||
\(168\) | − | 0.00501148i | − | 0.000386644i | ||||||
\(169\) | 6.44834 | + | 11.1689i | 0.496026 | + | 0.859143i | ||||
\(170\) | 4.31275 | − | 11.0758i | 0.330773 | − | 0.849474i | ||||
\(171\) | 6.88604 | 0.526589 | ||||||||
\(172\) | −17.0412 | + | 8.60719i | −1.29938 | + | 0.656292i | ||||
\(173\) | −16.7927 | + | 16.7927i | −1.27672 | + | 1.27672i | −0.334232 | + | 0.942491i | \(0.608477\pi\) |
−0.942491 | + | 0.334232i | \(0.891523\pi\) | |||||||
\(174\) | −0.716824 | −0.0543423 | ||||||||
\(175\) | −0.110650 | − | 0.0296485i | −0.00836432 | − | 0.00224121i | ||||
\(176\) | −1.57369 | − | 1.57369i | −0.118621 | − | 0.118621i | ||||
\(177\) | 0.105775 | − | 0.394759i | 0.00795055 | − | 0.0296719i | ||||
\(178\) | −22.9876 | + | 13.2719i | −1.72299 | + | 0.994771i | ||||
\(179\) | 9.32690 | + | 5.38489i | 0.697125 | + | 0.402485i | 0.806276 | − | 0.591540i | \(-0.201480\pi\) |
−0.109151 | + | 0.994025i | \(0.534813\pi\) | |||||||
\(180\) | −8.01991 | − | 8.01991i | −0.597769 | − | 0.597769i | ||||
\(181\) | −10.9704 | + | 2.93950i | −0.815421 | + | 0.218491i | −0.642343 | − | 0.766417i | \(-0.722038\pi\) |
−0.173077 | + | 0.984908i | \(0.555371\pi\) | |||||||
\(182\) | −0.0238274 | − | 0.00638452i | −0.00176620 | − | 0.000473252i | ||||
\(183\) | 0.0686736 | 0.00507649 | ||||||||
\(184\) | −11.7276 | − | 3.14239i | −0.864568 | − | 0.231660i | ||||
\(185\) | −1.36641 | − | 0.788899i | −0.100461 | − | 0.0580010i | ||||
\(186\) | −0.452596 | + | 0.783919i | −0.0331859 | + | 0.0574797i | ||||
\(187\) | −4.26338 | − | 5.31684i | −0.311769 | − | 0.388806i | ||||
\(188\) | −3.17009 | −0.231203 | ||||||||
\(189\) | 0.0128810 | + | 0.00743686i | 0.000936956 | + | 0.000540952i | ||||
\(190\) | −1.71551 | − | 6.40237i | −0.124456 | − | 0.464477i | ||||
\(191\) | −2.55320 | − | 4.42227i | −0.184743 | − | 0.319984i | 0.758747 | − | 0.651385i | \(-0.225812\pi\) |
−0.943490 | + | 0.331401i | \(0.892479\pi\) | |||||||
\(192\) | −0.890878 | − | 0.238710i | −0.0642936 | − | 0.0172274i | ||||
\(193\) | 12.1159 | + | 12.1159i | 0.872118 | + | 0.872118i | 0.992703 | − | 0.120585i | \(-0.0384770\pi\) |
−0.120585 | + | 0.992703i | \(0.538477\pi\) | |||||||
\(194\) | −16.9585 | − | 16.9585i | −1.21755 | − | 1.21755i | ||||
\(195\) | 0.0259428 | − | 0.0149781i | 0.00185780 | − | 0.00107260i | ||||
\(196\) | 17.6466 | − | 10.1883i | 1.26047 | − | 0.727732i | ||||
\(197\) | 6.47125 | − | 1.73397i | 0.461057 | − | 0.123540i | −0.0208113 | − | 0.999783i | \(-0.506625\pi\) |
0.481869 | + | 0.876244i | \(0.339958\pi\) | |||||||
\(198\) | −10.5967 | + | 2.83938i | −0.753076 | + | 0.201786i | ||||
\(199\) | 11.3928 | − | 11.3928i | 0.807614 | − | 0.807614i | −0.176658 | − | 0.984272i | \(-0.556529\pi\) |
0.984272 | + | 0.176658i | \(0.0565288\pi\) | |||||||
\(200\) | 3.34088 | − | 5.78657i | 0.236236 | − | 0.409172i | ||||
\(201\) | 0.212632 | + | 0.793555i | 0.0149979 | + | 0.0559731i | ||||
\(202\) | −1.53849 | − | 0.888245i | −0.108248 | − | 0.0624967i | ||||
\(203\) | 0.0781667 | + | 0.135389i | 0.00548623 | + | 0.00950243i | ||||
\(204\) | −0.801446 | − | 0.312071i | −0.0561124 | − | 0.0218493i | ||||
\(205\) | 7.49928 | + | 12.9891i | 0.523773 | + | 0.907201i | ||||
\(206\) | −17.4000 | − | 10.0459i | −1.21231 | − | 0.699930i | ||||
\(207\) | 12.7292 | − | 12.7292i | 0.884740 | − | 0.884740i | ||||
\(208\) | −0.216394 | + | 0.374805i | −0.0150042 | + | 0.0259881i | ||||
\(209\) | −3.67098 | − | 0.983635i | −0.253927 | − | 0.0680395i | ||||
\(210\) | 0.00185115 | − | 0.00690858i | 0.000127741 | − | 0.000476737i | ||||
\(211\) | −7.81730 | − | 7.81730i | −0.538165 | − | 0.538165i | 0.384824 | − | 0.922990i | \(-0.374262\pi\) |
−0.922990 | + | 0.384824i | \(0.874262\pi\) | |||||||
\(212\) | 9.53894 | − | 5.50731i | 0.655137 | − | 0.378244i | ||||
\(213\) | 0.885877i | 0.0606993i | ||||||||
\(214\) | 4.94671 | + | 4.94671i | 0.338150 | + | 0.338150i | ||||
\(215\) | −8.34955 | + | 1.74393i | −0.569435 | + | 0.118935i | ||||
\(216\) | −0.613464 | + | 0.613464i | −0.0417409 | + | 0.0417409i | ||||
\(217\) | 0.197415 | 0.0134014 | ||||||||
\(218\) | −29.8780 | − | 8.00579i | −2.02359 | − | 0.542220i | ||||
\(219\) | − | 0.246602i | − | 0.0166638i | ||||||
\(220\) | 3.12985 | + | 5.42105i | 0.211014 | + | 0.365487i | ||||
\(221\) | −0.784127 | + | 1.06843i | −0.0527461 | + | 0.0718703i | ||||
\(222\) | −0.0962991 | + | 0.166795i | −0.00646317 | + | 0.0111945i | ||||
\(223\) | 2.57711i | 0.172576i | 0.996270 | + | 0.0862882i | \(0.0275006\pi\) | ||||
−0.996270 | + | 0.0862882i | \(0.972499\pi\) | |||||||
\(224\) | 0.0629513 | + | 0.234938i | 0.00420611 | + | 0.0156974i | ||||
\(225\) | 4.95350 | + | 8.57971i | 0.330233 | + | 0.571981i | ||||
\(226\) | −7.98870 | + | 7.98870i | −0.531400 | + | 0.531400i | ||||
\(227\) | 5.74489 | − | 21.4402i | 0.381302 | − | 1.42304i | −0.462613 | − | 0.886560i | \(-0.653088\pi\) |
0.843915 | − | 0.536477i | \(-0.180245\pi\) | |||||||
\(228\) | −0.463276 | + | 0.124135i | −0.0306812 | + | 0.00822101i | ||||
\(229\) | 12.5292 | + | 7.23376i | 0.827955 | + | 0.478020i | 0.853152 | − | 0.521662i | \(-0.174688\pi\) |
−0.0251969 | + | 0.999683i | \(0.508021\pi\) | |||||||
\(230\) | −15.0063 | − | 8.66389i | −0.989486 | − | 0.571280i | ||||
\(231\) | −0.00289982 | − | 0.00289982i | −0.000190794 | − | 0.000190794i | ||||
\(232\) | −8.80806 | + | 2.36011i | −0.578277 | + | 0.154949i | ||||
\(233\) | −0.447079 | − | 1.66852i | −0.0292891 | − | 0.109308i | 0.949734 | − | 0.313059i | \(-0.101354\pi\) |
−0.979023 | + | 0.203750i | \(0.934687\pi\) | |||||||
\(234\) | 1.06669 | + | 1.84756i | 0.0697317 | + | 0.120779i | ||||
\(235\) | −1.36808 | − | 0.366575i | −0.0892435 | − | 0.0239127i | ||||
\(236\) | − | 16.6072i | − | 1.08103i | ||||||
\(237\) | 0.545478 | 0.0354326 | ||||||||
\(238\) | 0.0479980 | + | 0.312763i | 0.00311125 | + | 0.0202734i | ||||
\(239\) | −8.73933 | − | 15.1370i | −0.565300 | − | 0.979129i | −0.997022 | − | 0.0771218i | \(-0.975427\pi\) |
0.431721 | − | 0.902007i | \(-0.357906\pi\) | |||||||
\(240\) | −0.108672 | − | 0.0627419i | −0.00701476 | − | 0.00404997i | ||||
\(241\) | −0.411061 | − | 1.53410i | −0.0264788 | − | 0.0988202i | 0.951422 | − | 0.307890i | \(-0.0996230\pi\) |
−0.977901 | + | 0.209070i | \(0.932956\pi\) | |||||||
\(242\) | −18.3232 | −1.17786 | ||||||||
\(243\) | −0.499536 | − | 1.86429i | −0.0320452 | − | 0.119594i | ||||
\(244\) | 2.69551 | − | 0.722260i | 0.172562 | − | 0.0462379i | ||||
\(245\) | 8.79364 | − | 2.35625i | 0.561805 | − | 0.150535i | ||||
\(246\) | 1.58556 | − | 0.915421i | 0.101091 | − | 0.0583651i | ||||
\(247\) | 0.739058i | 0.0470251i | ||||||||
\(248\) | −2.98030 | + | 11.1226i | −0.189249 | + | 0.706289i | ||||
\(249\) | 0.999274 | − | 0.267755i | 0.0633264 | − | 0.0169683i | ||||
\(250\) | 16.9350 | − | 16.9350i | 1.07107 | − | 1.07107i | ||||
\(251\) | 0.680300 | − | 1.17831i | 0.0429402 | − | 0.0743746i | −0.843757 | − | 0.536726i | \(-0.819661\pi\) |
0.886697 | + | 0.462352i | \(0.152994\pi\) | |||||||
\(252\) | 0.291655 | + | 0.0781486i | 0.0183725 | + | 0.00492290i | ||||
\(253\) | −8.60428 | + | 4.96769i | −0.540947 | + | 0.312316i | ||||
\(254\) | −6.23036 | −0.390927 | ||||||||
\(255\) | −0.309784 | − | 0.227352i | −0.0193994 | − | 0.0142373i | ||||
\(256\) | −6.34694 | −0.396684 | ||||||||
\(257\) | 23.0969i | 1.44074i | 0.693588 | + | 0.720372i | \(0.256029\pi\) | ||||
−0.693588 | + | 0.720372i | \(0.743971\pi\) | |||||||
\(258\) | 0.212878 | + | 1.01921i | 0.0132532 | + | 0.0634533i | ||||
\(259\) | 0.0420041 | 0.00261001 | ||||||||
\(260\) | 0.860754 | − | 0.860754i | 0.0533817 | − | 0.0533817i | ||||
\(261\) | 3.49932 | − | 13.0597i | 0.216603 | − | 0.808372i | ||||
\(262\) | −8.70780 | − | 8.70780i | −0.537969 | − | 0.537969i | ||||
\(263\) | −20.7308 | + | 11.9689i | −1.27832 | + | 0.738036i | −0.976539 | − | 0.215342i | \(-0.930913\pi\) |
−0.301778 | + | 0.953378i | \(0.597580\pi\) | |||||||
\(264\) | 0.207158 | − | 0.119603i | 0.0127497 | − | 0.00736103i | ||||
\(265\) | 4.75345 | − | 1.27368i | 0.292002 | − | 0.0782417i | ||||
\(266\) | 0.124774 | + | 0.124774i | 0.00765036 | + | 0.00765036i | ||||
\(267\) | 0.222103 | + | 0.828898i | 0.0135925 | + | 0.0507278i | ||||
\(268\) | 16.6921 | + | 28.9116i | 1.01963 | + | 1.76606i | ||||
\(269\) | 8.76969 | − | 8.76969i | 0.534698 | − | 0.534698i | −0.387269 | − | 0.921967i | \(-0.626582\pi\) |
0.921967 | + | 0.387269i | \(0.126582\pi\) | |||||||
\(270\) | −1.07229 | + | 0.619089i | −0.0652577 | + | 0.0376765i | ||||
\(271\) | 8.10254 | − | 14.0340i | 0.492194 | − | 0.852505i | −0.507765 | − | 0.861495i | \(-0.669528\pi\) |
0.999960 | + | 0.00899013i | \(0.00286169\pi\) | |||||||
\(272\) | 5.51827 | + | 0.606804i | 0.334594 | + | 0.0367929i | ||||
\(273\) | −0.000398746 | 0 | 0.000690649i | −2.41332e−5 | 0 | 4.18000e-5i | ||||
\(274\) | 48.5572i | 2.93345i | ||||||||
\(275\) | −1.41516 | − | 5.28146i | −0.0853376 | − | 0.318484i | ||||
\(276\) | −0.626920 | + | 1.08586i | −0.0377362 | + | 0.0653610i | ||||
\(277\) | −17.6338 | − | 4.72497i | −1.05951 | − | 0.283896i | −0.313336 | − | 0.949642i | \(-0.601447\pi\) |
−0.746178 | + | 0.665746i | \(0.768113\pi\) | |||||||
\(278\) | 2.33097 | − | 8.69928i | 0.139802 | − | 0.521748i | ||||
\(279\) | −12.0726 | − | 12.0726i | −0.722767 | − | 0.722767i | ||||
\(280\) | − | 0.0909848i | − | 0.00543738i | ||||||
\(281\) | 25.1978 | − | 14.5479i | 1.50317 | − | 0.867857i | 0.503179 | − | 0.864182i | \(-0.332163\pi\) |
0.999993 | − | 0.00367517i | \(-0.00116985\pi\) | |||||||
\(282\) | −0.0447470 | + | 0.166998i | −0.00266465 | + | 0.00994459i | ||||
\(283\) | 30.9327 | − | 8.28840i | 1.83876 | − | 0.492694i | 0.840004 | − | 0.542580i | \(-0.182552\pi\) |
0.998755 | + | 0.0498859i | \(0.0158858\pi\) | |||||||
\(284\) | 9.31703 | + | 34.7716i | 0.552864 | + | 2.06332i | ||||
\(285\) | −0.214285 | −0.0126931 | ||||||||
\(286\) | −0.304742 | − | 1.13731i | −0.0180198 | − | 0.0672508i | ||||
\(287\) | −0.345797 | − | 0.199646i | −0.0204117 | − | 0.0117847i | ||||
\(288\) | 10.5176 | − | 18.2169i | 0.619753 | − | 1.07344i | ||||
\(289\) | 16.5938 | + | 3.69407i | 0.976105 | + | 0.217298i | ||||
\(290\) | −13.0141 | −0.764216 | ||||||||
\(291\) | −0.671469 | + | 0.387673i | −0.0393622 | + | 0.0227258i | ||||
\(292\) | −2.59359 | − | 9.67940i | −0.151778 | − | 0.566444i | ||||
\(293\) | 11.4614 | 0.669585 | 0.334793 | − | 0.942292i | \(-0.391334\pi\) | ||||
0.334793 | + | 0.942292i | \(0.391334\pi\) | |||||||
\(294\) | −0.287622 | − | 1.07342i | −0.0167745 | − | 0.0626031i | ||||
\(295\) | 1.92038 | − | 7.16695i | 0.111809 | − | 0.417276i | ||||
\(296\) | −0.634121 | + | 2.36657i | −0.0368576 | + | 0.137554i | ||||
\(297\) | 0.709944i | 0.0411951i | ||||||||
\(298\) | −25.5835 | + | 14.7706i | −1.48201 | + | 0.855640i | ||||
\(299\) | 1.36619 | + | 1.36619i | 0.0790086 | + | 0.0790086i | ||||
\(300\) | −0.487926 | − | 0.487926i | −0.0281704 | − | 0.0281704i | ||||
\(301\) | 0.169288 | − | 0.151348i | 0.00975760 | − | 0.00872354i | ||||
\(302\) | 40.9808 | 2.35818 | ||||||||
\(303\) | −0.0406109 | + | 0.0406109i | −0.00233303 | + | 0.00233303i | ||||
\(304\) | 2.68109 | − | 1.54793i | 0.153771 | − | 0.0887797i | ||||
\(305\) | 1.24679 | 0.0713908 | ||||||||
\(306\) | 16.1913 | − | 22.0618i | 0.925594 | − | 1.26119i | ||||
\(307\) | −2.27774 | − | 3.94517i | −0.129998 | − | 0.225162i | 0.793678 | − | 0.608338i | \(-0.208164\pi\) |
−0.923675 | + | 0.383176i | \(0.874830\pi\) | |||||||
\(308\) | −0.144319 | − | 0.0833228i | −0.00822335 | − | 0.00474775i | ||||
\(309\) | −0.459301 | + | 0.459301i | −0.0261287 | + | 0.0261287i | ||||
\(310\) | −8.21700 | + | 14.2323i | −0.466694 | + | 0.808338i | ||||
\(311\) | 0.0766645 | + | 0.0205422i | 0.00434725 | + | 0.00116484i | 0.260992 | − | 0.965341i | \(-0.415950\pi\) |
−0.256645 | + | 0.966506i | \(0.582617\pi\) | |||||||
\(312\) | −0.0328924 | − | 0.0328924i | −0.00186217 | − | 0.00186217i | ||||
\(313\) | −0.718488 | + | 2.68143i | −0.0406113 | + | 0.151564i | −0.983254 | − | 0.182239i | \(-0.941665\pi\) |
0.942643 | + | 0.333803i | \(0.108332\pi\) | |||||||
\(314\) | −21.2216 | − | 12.2523i | −1.19760 | − | 0.691436i | ||||
\(315\) | 0.116829 | + | 0.0674513i | 0.00658257 | + | 0.00380045i | ||||
\(316\) | 21.4106 | − | 5.73695i | 1.20444 | − | 0.322729i | ||||
\(317\) | −7.17971 | − | 7.17971i | −0.403253 | − | 0.403253i | 0.476125 | − | 0.879378i | \(-0.342041\pi\) |
−0.879378 | + | 0.476125i | \(0.842041\pi\) | |||||||
\(318\) | −0.155476 | − | 0.580243i | −0.00871863 | − | 0.0325384i | ||||
\(319\) | −3.73101 | + | 6.46230i | −0.208896 | + | 0.361819i | ||||
\(320\) | −16.1741 | − | 4.33385i | −0.904162 | − | 0.242269i | ||||
\(321\) | 0.195865 | − | 0.113083i | 0.0109321 | − | 0.00631166i | ||||
\(322\) | 0.461300 | 0.0257073 | ||||||||
\(323\) | 8.67899 | − | 3.81429i | 0.482912 | − | 0.212233i | ||||
\(324\) | −13.0342 | − | 22.5759i | −0.724123 | − | 1.25422i | ||||
\(325\) | −0.920835 | + | 0.531644i | −0.0510787 | + | 0.0294903i | ||||
\(326\) | 14.1046 | + | 52.6390i | 0.781181 | + | 2.91541i | ||||
\(327\) | −0.500002 | + | 0.866030i | −0.0276502 | + | 0.0478916i | ||||
\(328\) | 16.4687 | − | 16.4687i | 0.909333 | − | 0.909333i | ||||
\(329\) | 0.0364209 | − | 0.00975896i | 0.00200795 | − | 0.000538029i | ||||
\(330\) | 0.329756 | − | 0.0883579i | 0.0181525 | − | 0.00486394i | ||||
\(331\) | 3.02804 | + | 1.74824i | 0.166436 | + | 0.0960921i | 0.580904 | − | 0.813972i | \(-0.302699\pi\) |
−0.414468 | + | 0.910064i | \(0.636032\pi\) | |||||||
\(332\) | 36.4065 | − | 21.0193i | 1.99807 | − | 1.15358i | ||||
\(333\) | −2.56870 | − | 2.56870i | −0.140764 | − | 0.140764i | ||||
\(334\) | −7.68306 | + | 28.6736i | −0.420398 | + | 1.56895i | ||||
\(335\) | 3.86040 | + | 14.4072i | 0.210916 | + | 0.787150i | ||||
\(336\) | 0.00334063 | 0.000182246 | ||||||||
\(337\) | 7.44996 | + | 27.8036i | 0.405825 | + | 1.51456i | 0.802528 | + | 0.596614i | \(0.203488\pi\) |
−0.396703 | + | 0.917947i | \(0.629846\pi\) | |||||||
\(338\) | 24.7521 | − | 14.2906i | 1.34634 | − | 0.777309i | ||||
\(339\) | 0.182623 | + | 0.316312i | 0.00991872 | + | 0.0171797i | ||||
\(340\) | −14.5505 | − | 5.66573i | −0.789110 | − | 0.307267i | ||||
\(341\) | 4.71144 | + | 8.16046i | 0.255139 | + | 0.441914i | ||||
\(342\) | − | 15.2607i | − | 0.825202i | ||||||
\(343\) | −0.342782 | + | 0.342782i | −0.0185085 | + | 0.0185085i | ||||
\(344\) | 5.97148 | + | 11.8228i | 0.321960 | + | 0.637442i | ||||
\(345\) | −0.396116 | + | 0.396116i | −0.0213262 | + | 0.0213262i | ||||
\(346\) | 37.2155 | + | 37.2155i | 2.00072 | + | 2.00072i | ||||
\(347\) | 7.17034 | − | 26.7601i | 0.384924 | − | 1.43656i | −0.453362 | − | 0.891327i | \(-0.649775\pi\) |
0.838286 | − | 0.545230i | \(-0.183558\pi\) | |||||||
\(348\) | 0.941704i | 0.0504807i | ||||||||
\(349\) | −1.55566 | + | 0.898161i | −0.0832726 | + | 0.0480774i | −0.541058 | − | 0.840985i | \(-0.681976\pi\) |
0.457786 | + | 0.889063i | \(0.348643\pi\) | |||||||
\(350\) | −0.0657062 | + | 0.245219i | −0.00351214 | + | 0.0131075i | ||||
\(351\) | 0.133355 | − | 0.0357323i | 0.00711795 | − | 0.00190725i | ||||
\(352\) | −8.20915 | + | 8.20915i | −0.437549 | + | 0.437549i | ||||
\(353\) | 0.161515 | − | 0.279752i | 0.00859658 | − | 0.0148897i | −0.861695 | − | 0.507426i | \(-0.830597\pi\) |
0.870292 | + | 0.492537i | \(0.163930\pi\) | |||||||
\(354\) | −0.874854 | − | 0.234416i | −0.0464979 | − | 0.0124591i | ||||
\(355\) | 16.0833i | 0.853615i | ||||||||
\(356\) | 17.4355 | + | 30.1992i | 0.924081 | + | 1.60056i | ||||
\(357\) | 0.0101684 | + | 0.00111815i | 0.000538171 | + | 5.91788e-5i | ||||
\(358\) | 11.9338 | − | 20.6700i | 0.630723 | − | 1.09244i | ||||
\(359\) | 3.12835 | + | 1.80615i | 0.165108 | + | 0.0953252i | 0.580277 | − | 0.814419i | \(-0.302944\pi\) |
−0.415169 | + | 0.909744i | \(0.636278\pi\) | |||||||
\(360\) | −5.56403 | + | 5.56403i | −0.293250 | + | 0.293250i | ||||
\(361\) | −6.85665 | + | 11.8761i | −0.360877 | + | 0.625057i | ||||
\(362\) | 6.51444 | + | 24.3122i | 0.342392 | + | 1.27782i | ||||
\(363\) | −0.153317 | + | 0.572188i | −0.00804707 | + | 0.0300321i | ||||
\(364\) | −0.00838746 | + | 0.0313024i | −0.000439622 | + | 0.00164069i | ||||
\(365\) | − | 4.47713i | − | 0.234344i | ||||||
\(366\) | − | 0.152193i | − | 0.00795523i | ||||||
\(367\) | 0.937095 | − | 3.49729i | 0.0489160 | − | 0.182557i | −0.937145 | − | 0.348939i | \(-0.886542\pi\) |
0.986061 | + | 0.166382i | \(0.0532086\pi\) | |||||||
\(368\) | 2.09470 | − | 7.81754i | 0.109194 | − | 0.407517i | ||||
\(369\) | 8.93763 | + | 33.3557i | 0.465274 | + | 1.73643i | ||||
\(370\) | −1.74834 | + | 3.02821i | −0.0908917 | + | 0.157429i | ||||
\(371\) | −0.0926382 | + | 0.0926382i | −0.00480954 | + | 0.00480954i | ||||
\(372\) | 1.02985 | + | 0.594583i | 0.0533951 | + | 0.0308277i | ||||
\(373\) | −11.5820 | + | 20.0605i | −0.599691 | + | 1.03869i | 0.393176 | + | 0.919463i | \(0.371376\pi\) |
−0.992866 | + | 0.119232i | \(0.961957\pi\) | |||||||
\(374\) | −11.7831 | + | 9.44838i | −0.609287 | + | 0.488564i | ||||
\(375\) | −0.387138 | − | 0.670542i | −0.0199917 | − | 0.0346267i | ||||
\(376\) | 2.19934i | 0.113422i | ||||||||
\(377\) | 1.40165 | + | 0.375572i | 0.0721888 | + | 0.0193429i | ||||
\(378\) | 0.0164814 | − | 0.0285466i | 0.000847710 | − | 0.00146828i | ||||
\(379\) | 15.2496 | − | 15.2496i | 0.783322 | − | 0.783322i | −0.197068 | − | 0.980390i | \(-0.563142\pi\) |
0.980390 | + | 0.197068i | \(0.0631420\pi\) | |||||||
\(380\) | −8.41091 | + | 2.25370i | −0.431471 | + | 0.115612i | ||||
\(381\) | −0.0521319 | + | 0.194559i | −0.00267080 | + | 0.00996755i | ||||
\(382\) | −9.80051 | + | 5.65833i | −0.501438 | + | 0.289505i | ||||
\(383\) | 26.8896i | 1.37400i | 0.726659 | + | 0.686998i | \(0.241072\pi\) | ||||
−0.726659 | + | 0.686998i | \(0.758928\pi\) | |||||||
\(384\) | −0.268533 | + | 1.00218i | −0.0137035 | + | 0.0511422i | ||||
\(385\) | −0.0526470 | − | 0.0526470i | −0.00268314 | − | 0.00268314i | ||||
\(386\) | 26.8508 | − | 26.8508i | 1.36667 | − | 1.36667i | ||||
\(387\) | −19.6080 | − | 1.09711i | −0.996730 | − | 0.0557692i | ||||
\(388\) | −22.2786 | + | 22.2786i | −1.13103 | + | 1.13103i | ||||
\(389\) | 6.10434i | 0.309503i | 0.987953 | + | 0.154751i | \(0.0494576\pi\) | ||||
−0.987953 | + | 0.154751i | \(0.950542\pi\) | |||||||
\(390\) | −0.0331940 | − | 0.0574937i | −0.00168085 | − | 0.00291131i | ||||
\(391\) | 8.99264 | − | 23.0945i | 0.454777 | − | 1.16794i | ||||
\(392\) | −7.06838 | − | 12.2428i | −0.357007 | − | 0.618354i | ||||
\(393\) | −0.344785 | + | 0.199062i | −0.0173921 | + | 0.0100413i | ||||
\(394\) | −3.84277 | − | 14.3414i | −0.193596 | − | 0.722510i | ||||
\(395\) | 9.90330 | 0.498289 | ||||||||
\(396\) | 3.73014 | + | 13.9211i | 0.187447 | + | 0.699561i | ||||
\(397\) | 8.23672 | − | 30.7399i | 0.413389 | − | 1.54279i | −0.374651 | − | 0.927166i | \(-0.622237\pi\) |
0.788040 | − | 0.615624i | \(-0.211096\pi\) | |||||||
\(398\) | −25.2484 | − | 25.2484i | −1.26559 | − | 1.26559i | ||||
\(399\) | 0.00494040 | − | 0.00285234i | 0.000247330 | − | 0.000142796i | ||||
\(400\) | 3.85730 | + | 2.22701i | 0.192865 | + | 0.111351i | ||||
\(401\) | 2.76196 | − | 0.740066i | 0.137926 | − | 0.0369571i | −0.189196 | − | 0.981939i | \(-0.560588\pi\) |
0.327122 | + | 0.944982i | \(0.393921\pi\) | |||||||
\(402\) | 1.75866 | − | 0.471231i | 0.0877138 | − | 0.0235028i | ||||
\(403\) | 1.29572 | − | 1.29572i | 0.0645442 | − | 0.0645442i | ||||
\(404\) | −1.16690 | + | 2.02114i | −0.0580556 | + | 0.100555i | ||||
\(405\) | −3.01444 | − | 11.2500i | −0.149789 | − | 0.559018i | ||||
\(406\) | 0.300045 | − | 0.173231i | 0.0148910 | − | 0.00859731i | ||||
\(407\) | 1.00246 | + | 1.73631i | 0.0496900 | + | 0.0860656i | ||||
\(408\) | −0.216508 | + | 0.556025i | −0.0107187 | + | 0.0275273i | ||||
\(409\) | 27.6654 | 1.36797 | 0.683983 | − | 0.729498i | \(-0.260246\pi\) | ||||
0.683983 | + | 0.729498i | \(0.260246\pi\) | |||||||
\(410\) | 28.7862 | − | 16.6197i | 1.42165 | − | 0.820790i | ||||
\(411\) | 1.51632 | + | 0.406298i | 0.0747947 | + | 0.0200412i | ||||
\(412\) | −13.1975 | + | 22.8587i | −0.650192 | + | 1.12617i | ||||
\(413\) | 0.0511243 | + | 0.190798i | 0.00251566 | + | 0.00938858i | ||||
\(414\) | −28.2101 | − | 28.2101i | −1.38645 | − | 1.38645i | ||||
\(415\) | 18.1421 | − | 4.86116i | 0.890560 | − | 0.238625i | ||||
\(416\) | 1.95517 | + | 1.12882i | 0.0958601 | + | 0.0553448i | ||||
\(417\) | −0.252153 | − | 0.145581i | −0.0123480 | − | 0.00712912i | ||||
\(418\) | −2.17991 | + | 8.13553i | −0.106623 | + | 0.397922i | ||||
\(419\) | 20.5401 | + | 20.5401i | 1.00345 | + | 1.00345i | 0.999994 | + | 0.00345650i | \(0.00110024\pi\) |
0.00345650 | + | 0.999994i | \(0.498900\pi\) | |||||||
\(420\) | −0.00907592 | − | 0.00243189i | −0.000442860 | − | 0.000118664i | ||||
\(421\) | −11.5806 | + | 20.0583i | −0.564406 | + | 0.977579i | 0.432699 | + | 0.901538i | \(0.357561\pi\) |
−0.997105 | + | 0.0760409i | \(0.975772\pi\) | |||||||
\(422\) | −17.3245 | + | 17.3245i | −0.843344 | + | 0.843344i | ||||
\(423\) | −2.82406 | − | 1.63047i | −0.137310 | − | 0.0792762i | ||||
\(424\) | −3.82085 | − | 6.61790i | −0.185557 | − | 0.321394i | ||||
\(425\) | 10.9957 | + | 8.06983i | 0.533370 | + | 0.391444i | ||||
\(426\) | 1.96326 | 0.0951201 | ||||||||
\(427\) | −0.0287451 | + | 0.0165960i | −0.00139107 | + | 0.000803136i | ||||
\(428\) | 6.49859 | − | 6.49859i | 0.314121 | − | 0.314121i | ||||
\(429\) | −0.0380654 | −0.00183782 | ||||||||
\(430\) | 3.86486 | + | 18.5041i | 0.186380 | + | 0.892345i | ||||
\(431\) | −12.9655 | − | 12.9655i | −0.624527 | − | 0.624527i | 0.322158 | − | 0.946686i | \(-0.395592\pi\) |
−0.946686 | + | 0.322158i | \(0.895592\pi\) | |||||||
\(432\) | −0.408932 | − | 0.408932i | −0.0196748 | − | 0.0196748i | ||||
\(433\) | −5.07349 | + | 2.92918i | −0.243816 | + | 0.140767i | −0.616929 | − | 0.787018i | \(-0.711624\pi\) |
0.373113 | + | 0.927786i | \(0.378290\pi\) | |||||||
\(434\) | − | 0.437506i | − | 0.0210009i | ||||||
\(435\) | −0.108895 | + | 0.406400i | −0.00522109 | + | 0.0194854i | ||||
\(436\) | −10.5173 | + | 39.2513i | −0.503689 | + | 1.87979i | ||||
\(437\) | −3.57706 | − | 13.3498i | −0.171114 | − | 0.638606i | ||||
\(438\) | −0.546514 | −0.0261134 | ||||||||
\(439\) | 0.746893 | + | 2.78744i | 0.0356473 | + | 0.133037i | 0.981456 | − | 0.191686i | \(-0.0613955\pi\) |
−0.945809 | + | 0.324723i | \(0.894729\pi\) | |||||||
\(440\) | 3.76100 | − | 2.17142i | 0.179299 | − | 0.103518i | ||||
\(441\) | 20.9605 | 0.998118 | ||||||||
\(442\) | 2.36782 | + | 1.73776i | 0.112626 | + | 0.0826569i | ||||
\(443\) | −13.8773 | + | 24.0362i | −0.659331 | + | 1.14199i | 0.321459 | + | 0.946924i | \(0.395827\pi\) |
−0.980789 | + | 0.195070i | \(0.937506\pi\) | |||||||
\(444\) | 0.219122 | + | 0.126510i | 0.0103990 | + | 0.00600389i | ||||
\(445\) | 4.03233 | + | 15.0489i | 0.191151 | + | 0.713385i | ||||
\(446\) | 5.71133 | 0.270439 | ||||||||
\(447\) | 0.247184 | + | 0.922502i | 0.0116914 | + | 0.0436329i | ||||
\(448\) | 0.430588 | − | 0.115376i | 0.0203434 | − | 0.00545099i | ||||
\(449\) | −1.19494 | + | 4.45959i | −0.0563929 | + | 0.210461i | −0.988373 | − | 0.152048i | \(-0.951413\pi\) |
0.931980 | + | 0.362509i | \(0.118080\pi\) | |||||||
\(450\) | 19.0141 | − | 10.9778i | 0.896335 | − | 0.517499i | ||||
\(451\) | − | 19.0588i | − | 0.897442i | ||||||
\(452\) | 10.4949 | + | 10.4949i | 0.493638 | + | 0.493638i | ||||
\(453\) | 0.342903 | − | 1.27973i | 0.0161110 | − | 0.0601270i | ||||
\(454\) | −47.5152 | − | 12.7317i | −2.23000 | − | 0.597527i | ||||
\(455\) | −0.00723935 | + | 0.0125389i | −0.000339386 | + | 0.000587834i | ||||
\(456\) | 0.0861217 | + | 0.321411i | 0.00403302 | + | 0.0150514i | ||||
\(457\) | 9.90750i | 0.463453i | 0.972781 | + | 0.231727i | \(0.0744375\pi\) | ||||
−0.972781 | + | 0.231727i | \(0.925563\pi\) | |||||||
\(458\) | 16.0313 | − | 27.7670i | 0.749092 | − | 1.29747i | ||||
\(459\) | −1.10786 | − | 1.38161i | −0.0517106 | − | 0.0644881i | ||||
\(460\) | −11.3819 | + | 19.7141i | −0.530684 | + | 0.919172i | ||||
\(461\) | 23.5032 | − | 13.5696i | 1.09465 | − | 0.631998i | 0.159841 | − | 0.987143i | \(-0.448902\pi\) |
0.934811 | + | 0.355145i | \(0.115568\pi\) | |||||||
\(462\) | −0.00642650 | + | 0.00642650i | −0.000298988 | + | 0.000298988i | ||||
\(463\) | −8.35820 | − | 14.4768i | −0.388438 | − | 0.672795i | 0.603801 | − | 0.797135i | \(-0.293652\pi\) |
−0.992240 | + | 0.124340i | \(0.960319\pi\) | |||||||
\(464\) | −1.57324 | − | 5.87141i | −0.0730358 | − | 0.272573i | ||||
\(465\) | 0.375684 | + | 0.375684i | 0.0174219 | + | 0.0174219i | ||||
\(466\) | −3.69773 | + | 0.990805i | −0.171294 | + | 0.0458981i | ||||
\(467\) | −12.4948 | + | 7.21389i | −0.578192 | + | 0.333819i | −0.760414 | − | 0.649438i | \(-0.775004\pi\) |
0.182223 | + | 0.983257i | \(0.441671\pi\) | |||||||
\(468\) | 2.42717 | − | 1.40133i | 0.112196 | − | 0.0647765i | ||||
\(469\) | −0.280777 | − | 0.280777i | −0.0129651 | − | 0.0129651i | ||||
\(470\) | −0.812394 | + | 3.03190i | −0.0374730 | + | 0.139851i | ||||
\(471\) | −0.560178 | + | 0.560178i | −0.0258116 | + | 0.0258116i | ||||
\(472\) | −11.5217 | −0.530328 | ||||||||
\(473\) | 10.2964 | + | 3.38577i | 0.473428 | + | 0.155678i | ||||
\(474\) | − | 1.20887i | − | 0.0555254i | ||||||
\(475\) | 7.60600 | 0.348987 | ||||||||
\(476\) | 0.410882 | − | 0.0630559i | 0.0188328 | − | 0.00289016i | ||||
\(477\) | 11.3303 | 0.518778 | ||||||||
\(478\) | −33.5461 | + | 19.3679i | −1.53437 | + | 0.885866i | ||||
\(479\) | −31.2885 | − | 8.38372i | −1.42961 | − | 0.383062i | −0.540725 | − | 0.841200i | \(-0.681850\pi\) |
−0.888881 | + | 0.458138i | \(0.848517\pi\) | |||||||
\(480\) | −0.327293 | + | 0.566888i | −0.0149388 | + | 0.0258748i | ||||
\(481\) | 0.275690 | − | 0.275690i | 0.0125704 | − | 0.0125704i | ||||
\(482\) | −3.39984 | + | 0.910984i | −0.154858 | + | 0.0414942i | ||||
\(483\) | 0.00385988 | − | 0.0144053i | 0.000175631 | − | 0.000655463i | ||||
\(484\) | 24.0715i | 1.09416i | ||||||||
\(485\) | −12.1907 | + | 7.03831i | −0.553552 | + | 0.319593i | ||||
\(486\) | −4.13160 | + | 1.10706i | −0.187413 | + | 0.0502172i | ||||
\(487\) | −9.31290 | + | 2.49539i | −0.422008 | + | 0.113077i | −0.463572 | − | 0.886059i | \(-0.653433\pi\) |
0.0415643 | + | 0.999136i | \(0.486766\pi\) | |||||||
\(488\) | −0.501087 | − | 1.87008i | −0.0226832 | − | 0.0846547i | ||||
\(489\) | 1.76181 | 0.0796717 | ||||||||
\(490\) | −5.22186 | − | 19.4882i | −0.235899 | − | 0.880389i | ||||
\(491\) | 16.3633 | + | 9.44734i | 0.738464 | + | 0.426353i | 0.821511 | − | 0.570193i | \(-0.193132\pi\) |
−0.0830463 | + | 0.996546i | \(0.526465\pi\) | |||||||
\(492\) | −1.20261 | − | 2.08297i | −0.0542176 | − | 0.0939077i | ||||
\(493\) | −2.82350 | − | 18.3984i | −0.127164 | − | 0.828622i | ||||
\(494\) | 1.63788 | 0.0736918 | ||||||||
\(495\) | 6.43909i | 0.289416i | ||||||||
\(496\) | −7.41430 | − | 1.98666i | −0.332912 | − | 0.0892035i | ||||
\(497\) | −0.214085 | − | 0.370807i | −0.00960304 | − | 0.0166329i | ||||
\(498\) | −0.593391 | − | 2.21456i | −0.0265905 | − | 0.0992370i | ||||
\(499\) | −27.7266 | + | 7.42932i | −1.24121 | + | 0.332582i | −0.818936 | − | 0.573884i | \(-0.805436\pi\) |
−0.422277 | + | 0.906467i | \(0.638769\pi\) | |||||||
\(500\) | −22.2479 | − | 22.2479i | −0.994955 | − | 0.994955i | ||||
\(501\) | 0.831119 | + | 0.479847i | 0.0371317 | + | 0.0214380i | ||||
\(502\) | −2.61135 | − | 1.50766i | −0.116550 | − | 0.0672903i | ||||
\(503\) | 28.5758 | − | 7.65685i | 1.27413 | − | 0.341402i | 0.442518 | − | 0.896760i | \(-0.354085\pi\) |
0.831612 | + | 0.555358i | \(0.187419\pi\) | |||||||
\(504\) | 0.0542177 | − | 0.202343i | 0.00241505 | − | 0.00901309i | ||||
\(505\) | −0.737302 | + | 0.737302i | −0.0328095 | + | 0.0328095i | ||||
\(506\) | 11.0093 | + | 19.0686i | 0.489421 | + | 0.847702i | ||||
\(507\) | −0.239151 | − | 0.892524i | −0.0106211 | − | 0.0396384i | ||||
\(508\) | 8.18493i | 0.363148i | ||||||||
\(509\) | −14.1917 | + | 24.5807i | −0.629035 | + | 1.08952i | 0.358710 | + | 0.933449i | \(0.383217\pi\) |
−0.987746 | + | 0.156072i | \(0.950117\pi\) | |||||||
\(510\) | −0.503852 | + | 0.686534i | −0.0223109 | + | 0.0304003i | ||||
\(511\) | 0.0595951 | + | 0.103222i | 0.00263633 | + | 0.00456626i | ||||
\(512\) | − | 14.8964i | − | 0.658332i | ||||||
\(513\) | −0.953924 | − | 0.255603i | −0.0421168 | − | 0.0112852i | ||||
\(514\) | 51.1867 | 2.25775 | ||||||||
\(515\) | −8.33874 | + | 8.33874i | −0.367449 | + | 0.367449i | ||||
\(516\) | 1.33896 | − | 0.279662i | 0.0589443 | − | 0.0123114i | ||||
\(517\) | 1.27261 | + | 1.27261i | 0.0559695 | + | 0.0559695i | ||||
\(518\) | − | 0.0930884i | − | 0.00409007i | ||||||
\(519\) | 1.47355 | − | 0.850752i | 0.0646815 | − | 0.0373439i | ||||
\(520\) | −0.597171 | − | 0.597171i | −0.0261877 | − | 0.0261877i | ||||
\(521\) | −4.84775 | + | 18.0920i | −0.212384 | + | 0.792626i | 0.774688 | + | 0.632344i | \(0.217907\pi\) |
−0.987071 | + | 0.160282i | \(0.948760\pi\) | |||||||
\(522\) | −28.9425 | − | 7.75511i | −1.26678 | − | 0.339432i | ||||
\(523\) | 3.00917 | − | 5.21203i | 0.131582 | − | 0.227906i | −0.792705 | − | 0.609606i | \(-0.791328\pi\) |
0.924286 | + | 0.381699i | \(0.124661\pi\) | |||||||
\(524\) | −11.4396 | + | 11.4396i | −0.499741 | + | 0.499741i | ||||
\(525\) | 0.00710780 | + | 0.00410369i | 0.000310210 | + | 0.000179100i | ||||
\(526\) | 26.5253 | + | 45.9431i | 1.15656 | + | 2.00321i | ||||
\(527\) | −21.9032 | − | 8.52878i | −0.954119 | − | 0.371520i | ||||
\(528\) | 0.0797265 | + | 0.138090i | 0.00346965 | + | 0.00600961i | ||||
\(529\) | −11.3715 | − | 6.56534i | −0.494413 | − | 0.285450i | ||||
\(530\) | −2.82270 | − | 10.5345i | −0.122610 | − | 0.457588i | ||||
\(531\) | 8.54156 | − | 14.7944i | 0.370672 | − | 0.642023i | ||||
\(532\) | 0.163917 | − | 0.163917i | 0.00710671 | − | 0.00710671i | ||||
\(533\) | −3.57997 | + | 0.959249i | −0.155066 | + | 0.0415497i | ||||
\(534\) | 1.83698 | − | 0.492218i | 0.0794940 | − | 0.0213004i | ||||
\(535\) | 3.55598 | − | 2.05305i | 0.153739 | − | 0.0887610i | ||||
\(536\) | 20.0582 | − | 11.5806i | 0.866382 | − | 0.500206i | ||||
\(537\) | −0.545619 | − | 0.545619i | −0.0235452 | − | 0.0235452i | ||||
\(538\) | −19.4352 | − | 19.4352i | −0.837910 | − | 0.837910i | ||||
\(539\) | −11.1741 | − | 2.99410i | −0.481303 | − | 0.128965i | ||||
\(540\) | 0.813308 | + | 1.40869i | 0.0349992 | + | 0.0606204i | ||||
\(541\) | −0.577014 | − | 2.15345i | −0.0248078 | − | 0.0925839i | 0.952412 | − | 0.304814i | \(-0.0985942\pi\) |
−0.977220 | + | 0.212230i | \(0.931928\pi\) | |||||||
\(542\) | −31.1018 | − | 17.9566i | −1.33594 | − | 0.771303i | ||||
\(543\) | 0.813721 | 0.0349201 | ||||||||
\(544\) | 3.16539 | − | 28.7860i | 0.135715 | − | 1.23419i | ||||
\(545\) | −9.07768 | + | 15.7230i | −0.388845 | + | 0.673500i | ||||
\(546\) | 0.00153060 | 0.000883691i | 6.55035e−5 | 3.78185e-5i | ||||||
\(547\) | −2.62270 | − | 0.702752i | −0.112139 | − | 0.0300475i | 0.202313 | − | 0.979321i | \(-0.435154\pi\) |
−0.314452 | + | 0.949273i | \(0.601821\pi\) | |||||||
\(548\) | 63.7905 | 2.72499 | ||||||||
\(549\) | 2.77276 | + | 0.742959i | 0.118339 | + | 0.0317087i | ||||
\(550\) | −11.7046 | + | 3.13625i | −0.499088 | + | 0.133730i | ||||
\(551\) | −7.33985 | − | 7.33985i | −0.312688 | − | 0.312688i | ||||
\(552\) | 0.753344 | + | 0.434943i | 0.0320644 | + | 0.0185124i | ||||
\(553\) | −0.228324 | + | 0.131823i | −0.00970932 | + | 0.00560568i | ||||
\(554\) | −10.4714 | + | 39.0797i | −0.444886 | + | 1.66034i | ||||
\(555\) | 0.0799345 | + | 0.0799345i | 0.00339303 | + | 0.00339303i | ||||
\(556\) | −11.4284 | − | 3.06223i | −0.484672 | − | 0.129868i | ||||
\(557\) | 28.2228 | 1.19584 | 0.597919 | − | 0.801557i | \(-0.295995\pi\) | ||||
0.597919 | + | 0.801557i | \(0.295995\pi\) | |||||||
\(558\) | −26.7550 | + | 26.7550i | −1.13263 | + | 1.13263i | ||||
\(559\) | 0.117749 | − | 2.10447i | 0.00498027 | − | 0.0890095i | ||||
\(560\) | 0.0606500 | 0.00256293 | ||||||||
\(561\) | 0.196457 | + | 0.447014i | 0.00829440 | + | 0.0188730i | ||||
\(562\) | −32.2408 | − | 55.8426i | −1.35999 | − | 2.35558i | ||||
\(563\) | − | 16.0217i | − | 0.675233i | −0.941284 | − | 0.337617i | \(-0.890379\pi\) | ||
0.941284 | − | 0.337617i | \(-0.109621\pi\) | |||||||
\(564\) | 0.219388 | + | 0.0587850i | 0.00923792 | + | 0.00247529i | ||||
\(565\) | 3.31557 | + | 5.74274i | 0.139487 | + | 0.241599i | ||||
\(566\) | −18.3685 | − | 68.5523i | −0.772087 | − | 2.88147i | ||||
\(567\) | 0.219248 | + | 0.219248i | 0.00920754 | + | 0.00920754i | ||||
\(568\) | 24.1238 | − | 6.46394i | 1.01221 | − | 0.271221i | ||||
\(569\) | 0.840955 | − | 0.485525i | 0.0352547 | − | 0.0203543i | −0.482269 | − | 0.876023i | \(-0.660187\pi\) |
0.517524 | + | 0.855669i | \(0.326854\pi\) | |||||||
\(570\) | 0.474892i | 0.0198911i | ||||||||
\(571\) | −5.89484 | + | 21.9998i | −0.246691 | + | 0.920665i | 0.725834 | + | 0.687870i | \(0.241454\pi\) |
−0.972526 | + | 0.232795i | \(0.925213\pi\) | |||||||
\(572\) | −1.49411 | + | 0.400345i | −0.0624719 | + | 0.0167393i | ||||
\(573\) | 0.0946910 | + | 0.353392i | 0.00395578 | + | 0.0147632i | ||||
\(574\) | −0.442450 | + | 0.766346i | −0.0184675 | + | 0.0319867i | ||||
\(575\) | 14.0601 | − | 14.0601i | 0.586346 | − | 0.586346i | ||||
\(576\) | −33.3875 | − | 19.2763i | −1.39115 | − | 0.803179i | ||||
\(577\) | −13.4700 | + | 23.3307i | −0.560764 | + | 0.971271i | 0.436666 | + | 0.899624i | \(0.356159\pi\) |
−0.997430 | + | 0.0716477i | \(0.977174\pi\) | |||||||
\(578\) | 8.18669 | − | 36.7747i | 0.340522 | − | 1.52963i | ||||
\(579\) | −0.613815 | − | 1.06316i | −0.0255093 | − | 0.0441833i | ||||
\(580\) | 17.0969i | 0.709910i | ||||||||
\(581\) | −0.353565 | + | 0.353565i | −0.0146683 | + | 0.0146683i | ||||
\(582\) | 0.859151 | + | 1.48809i | 0.0356130 | + | 0.0616834i | ||||
\(583\) | −6.04023 | − | 1.61847i | −0.250161 | − | 0.0670304i | ||||
\(584\) | −6.71535 | + | 1.79937i | −0.277883 | + | 0.0744586i | ||||
\(585\) | 1.20951 | − | 0.324087i | 0.0500070 | − | 0.0133993i | ||||
\(586\) | − | 25.4006i | − | 1.04929i | ||||||
\(587\) | −20.9667 | − | 12.1051i | −0.865388 | − | 0.499632i | 0.000424824 | − | 1.00000i | \(-0.499865\pi\) |
−0.865813 | + | 0.500368i | \(0.833198\pi\) | |||||||
\(588\) | −1.41017 | + | 0.377854i | −0.0581545 | + | 0.0155824i | ||||
\(589\) | −12.6612 | + | 3.39255i | −0.521694 | + | 0.139788i | ||||
\(590\) | −15.8832 | − | 4.25589i | −0.653901 | − | 0.175212i | ||||
\(591\) | −0.480001 | −0.0197446 | ||||||||
\(592\) | −1.57755 | − | 0.422702i | −0.0648368 | − | 0.0173730i | ||||
\(593\) | −16.0981 | − | 9.29422i | −0.661068 | − | 0.381668i | 0.131616 | − | 0.991301i | \(-0.457984\pi\) |
−0.792684 | + | 0.609633i | \(0.791317\pi\) | |||||||
\(594\) | 1.57336 | 0.0645557 | ||||||||
\(595\) | 0.184611 | + | 0.0203003i | 0.00756831 | + | 0.000832232i | ||||
\(596\) | 19.4045 | + | 33.6095i | 0.794837 | + | 1.37670i | ||||
\(597\) | −0.999711 | + | 0.577183i | −0.0409154 | + | 0.0236225i | ||||
\(598\) | 3.02771 | − | 3.02771i | 0.123812 | − | 0.123812i | ||||
\(599\) | 7.39529 | + | 12.8090i | 0.302163 | + | 0.523362i | 0.976626 | − | 0.214947i | \(-0.0689579\pi\) |
−0.674462 | + | 0.738309i | \(0.735625\pi\) | |||||||
\(600\) | −0.338512 | + | 0.338512i | −0.0138197 | + | 0.0138197i | ||||
\(601\) | −9.22597 | − | 9.22597i | −0.376335 | − | 0.376335i | 0.493443 | − | 0.869778i | \(-0.335738\pi\) |
−0.869778 | + | 0.493443i | \(0.835738\pi\) | |||||||
\(602\) | −0.335413 | − | 0.375172i | −0.0136704 | − | 0.0152909i | ||||
\(603\) | 34.3410i | 1.39847i | ||||||||
\(604\) | − | 53.8372i | − | 2.19061i | ||||||
\(605\) | −2.78352 | + | 10.3882i | −0.113166 | + | 0.422342i | ||||
\(606\) | 0.0900008 | + | 0.0900008i | 0.00365603 | + | 0.00365603i | ||||
\(607\) | −17.1768 | − | 4.60251i | −0.697184 | − | 0.186810i | −0.107215 | − | 0.994236i | \(-0.534193\pi\) |
−0.589969 | + | 0.807426i | \(0.700860\pi\) | |||||||
\(608\) | −8.07475 | − | 13.9859i | −0.327474 | − | 0.567202i | ||||
\(609\) | −0.00289899 | − | 0.0108192i | −0.000117473 | − | 0.000438415i | ||||
\(610\) | − | 2.76310i | − | 0.111875i | ||||||
\(611\) | 0.174994 | − | 0.303098i | 0.00707949 | − | 0.0122620i | ||||
\(612\) | −28.9829 | − | 21.2708i | −1.17157 | − | 0.859820i | ||||
\(613\) | −18.0304 | −0.728241 | −0.364121 | − | 0.931352i | \(-0.618630\pi\) | ||||
−0.364121 | + | 0.931352i | \(0.618630\pi\) | |||||||
\(614\) | −8.74317 | + | 5.04787i | −0.352846 | + | 0.203716i | ||||
\(615\) | −0.278128 | − | 1.03799i | −0.0112152 | − | 0.0418557i | ||||
\(616\) | −0.0578074 | + | 0.100125i | −0.00232913 | + | 0.00403417i | ||||
\(617\) | −3.75150 | − | 14.0008i | −0.151030 | − | 0.563651i | −0.999413 | − | 0.0342679i | \(-0.989090\pi\) |
0.848383 | − | 0.529383i | \(-0.177577\pi\) | |||||||
\(618\) | 1.01789 | + | 1.01789i | 0.0409456 | + | 0.0409456i | ||||
\(619\) | 6.62962 | − | 1.77640i | 0.266467 | − | 0.0713996i | −0.123112 | − | 0.992393i | \(-0.539287\pi\) |
0.389579 | + | 0.920993i | \(0.372621\pi\) | |||||||
\(620\) | 18.6972 | + | 10.7948i | 0.750897 | + | 0.433530i | ||||
\(621\) | −2.23587 | + | 1.29088i | −0.0897224 | + | 0.0518012i | ||||
\(622\) | 0.0455251 | − | 0.169902i | 0.00182539 | − | 0.00681245i | ||||
\(623\) | −0.293282 | − | 0.293282i | −0.0117501 | − | 0.0117501i | ||||
\(624\) | 0.0219259 | − | 0.0219259i | 0.000877740 | − | 0.000877740i | ||||
\(625\) | 1.24139 | + | 2.15015i | 0.0496555 | + | 0.0860059i | ||||
\(626\) | 5.94252 | + | 1.59229i | 0.237511 | + | 0.0636409i | ||||
\(627\) | 0.235813 | + | 0.136146i | 0.00941745 | + | 0.00543716i | ||||
\(628\) | −16.0960 | + | 27.8791i | −0.642301 | + | 1.11250i | ||||
\(629\) | −4.66036 | − | 1.81468i | −0.185821 | − | 0.0723559i | ||||
\(630\) | 0.149484 | − | 0.258914i | 0.00595558 | − | 0.0103154i | ||||
\(631\) | 12.8762 | + | 7.43408i | 0.512594 | + | 0.295946i | 0.733899 | − | 0.679258i | \(-0.237698\pi\) |
−0.221305 | + | 0.975205i | \(0.571032\pi\) | |||||||
\(632\) | −3.98017 | − | 14.8542i | −0.158323 | − | 0.590868i | ||||
\(633\) | 0.396041 | + | 0.685963i | 0.0157412 | + | 0.0272646i | ||||
\(634\) | −15.9115 | + | 15.9115i | −0.631926 | + | 0.631926i | ||||
\(635\) | −0.946469 | + | 3.53227i | −0.0375595 | + | 0.140174i | ||||
\(636\) | −0.762275 | + | 0.204251i | −0.0302262 | + | 0.00809908i | ||||
\(637\) | 2.24963i | 0.0891334i | ||||||||
\(638\) | 14.3216 | + | 8.26856i | 0.566997 | + | 0.327356i | ||||
\(639\) | −9.58404 | + | 35.7681i | −0.379139 | + | 1.41497i | ||||
\(640\) | −4.87529 | + | 18.1948i | −0.192713 | + | 0.719213i | ||||
\(641\) | −26.7434 | + | 26.7434i | −1.05630 | + | 1.05630i | −0.0579850 | + | 0.998317i | \(0.518468\pi\) |
−0.998317 | + | 0.0579850i | \(0.981532\pi\) | |||||||
\(642\) | −0.250611 | − | 0.434071i | −0.00989083 | − | 0.0171314i | ||||
\(643\) | 21.5967 | − | 21.5967i | 0.851691 | − | 0.851691i | −0.138651 | − | 0.990341i | \(-0.544276\pi\) |
0.990341 | + | 0.138651i | \(0.0442765\pi\) | |||||||
\(644\) | − | 0.606018i | − | 0.0238805i | ||||||
\(645\) | 0.610176 | + | 0.0341406i | 0.0240256 | + | 0.00134429i | ||||
\(646\) | −8.45314 | − | 19.2342i | −0.332584 | − | 0.756758i | ||||
\(647\) | 22.7549 | 0.894586 | 0.447293 | − | 0.894388i | \(-0.352388\pi\) | ||||
0.447293 | + | 0.894388i | \(0.352388\pi\) | |||||||
\(648\) | −15.6627 | + | 9.04284i | −0.615287 | + | 0.355236i | ||||
\(649\) | −6.66685 | + | 6.66685i | −0.261697 | + | 0.261697i | ||||
\(650\) | 1.17822 | + | 2.04073i | 0.0462134 | + | 0.0800440i | ||||
\(651\) | −0.0136622 | − | 0.00366079i | −0.000535465 | − | 0.000143477i | ||||
\(652\) | 69.1528 | − | 18.5294i | 2.70823 | − | 0.725669i | ||||
\(653\) | −18.5123 | − | 18.5123i | −0.724441 | − | 0.724441i | 0.245066 | − | 0.969506i | \(-0.421190\pi\) |
−0.969506 | + | 0.245066i | \(0.921190\pi\) | |||||||
\(654\) | 1.91927 | + | 1.10809i | 0.0750495 | + | 0.0433298i | ||||
\(655\) | −6.25967 | + | 3.61402i | −0.244585 | + | 0.141211i | ||||
\(656\) | 10.9780 | + | 10.9780i | 0.428618 | + | 0.428618i | ||||
\(657\) | 2.66792 | − | 9.95681i | 0.104085 | − | 0.388452i | ||||
\(658\) | −0.0216276 | − | 0.0807151i | −0.000843130 | − | 0.00314660i | ||||
\(659\) | −10.3579 | + | 17.9404i | −0.403486 | + | 0.698858i | −0.994144 | − | 0.108064i | \(-0.965535\pi\) |
0.590658 | + | 0.806922i | \(0.298868\pi\) | |||||||
\(660\) | −0.116077 | − | 0.433207i | −0.00451831 | − | 0.0168625i | ||||
\(661\) | 29.9264i | 1.16400i | 0.813188 | + | 0.582001i | \(0.197730\pi\) | ||||
−0.813188 | + | 0.582001i | \(0.802270\pi\) | |||||||
\(662\) | 3.87441 | − | 6.71067i | 0.150583 | − | 0.260818i | ||||
\(663\) | 0.0740786 | − | 0.0594008i | 0.00287698 | − | 0.00230694i | ||||
\(664\) | −14.5827 | − | 25.2580i | −0.565919 | − | 0.980201i | ||||
\(665\) | 0.0896944 | − | 0.0517851i | 0.00347820 | − | 0.00200814i | ||||
\(666\) | −5.69268 | + | 5.69268i | −0.220587 | + | 0.220587i | ||||
\(667\) | −27.1362 | −1.05072 | ||||||||
\(668\) | 37.6690 | + | 10.0934i | 1.45746 | + | 0.390524i | ||||
\(669\) | 0.0477890 | − | 0.178351i | 0.00184763 | − | 0.00689545i | ||||
\(670\) | 31.9289 | − | 8.55532i | 1.23352 | − | 0.330521i | ||||
\(671\) | −1.37204 | − | 0.792150i | −0.0529671 | − | 0.0305806i | ||||
\(672\) | − | 0.0174264i | − | 0.000672237i | ||||||
\(673\) | −22.8948 | + | 6.13464i | −0.882530 | + | 0.236473i | −0.671498 | − | 0.741006i | \(-0.734349\pi\) |
−0.211032 | + | 0.977479i | \(0.567682\pi\) | |||||||
\(674\) | 61.6177 | − | 16.5104i | 2.37343 | − | 0.635957i | ||||
\(675\) | −0.367738 | − | 1.37242i | −0.0141542 | − | 0.0528244i | ||||
\(676\) | −18.7739 | − | 32.5173i | −0.722072 | − | 1.25067i | ||||
\(677\) | 12.5369 | − | 12.5369i | 0.481831 | − | 0.481831i | −0.423885 | − | 0.905716i | \(-0.639334\pi\) |
0.905716 | + | 0.423885i | \(0.139334\pi\) | |||||||
\(678\) | 0.701003 | − | 0.404724i | 0.0269219 | − | 0.0155433i | ||||
\(679\) | 0.187374 | − | 0.324541i | 0.00719075 | − | 0.0124547i | ||||
\(680\) | −3.93076 | + | 10.0948i | −0.150738 | + | 0.387117i | ||||
\(681\) | −0.795158 | + | 1.37725i | −0.0304705 | + | 0.0527765i | ||||
\(682\) | 18.0850 | − | 10.4414i | 0.692511 | − | 0.399821i | ||||
\(683\) | −37.3273 | − | 10.0018i | −1.42829 | − | 0.382709i | −0.539874 | − | 0.841746i | \(-0.681528\pi\) |
−0.888417 | + | 0.459036i | \(0.848195\pi\) | |||||||
\(684\) | −20.0482 | −0.766562 | ||||||||
\(685\) | 27.5293 | + | 7.37645i | 1.05184 | + | 0.281839i | ||||
\(686\) | 0.759664 | + | 0.759664i | 0.0290041 | + | 0.0290041i | ||||
\(687\) | −0.732955 | − | 0.732955i | −0.0279640 | − | 0.0279640i | ||||
\(688\) | −7.88101 | + | 3.98056i | −0.300461 | + | 0.151757i | ||||
\(689\) | 1.21605i | 0.0463277i | ||||||||
\(690\) | 0.877862 | + | 0.877862i | 0.0334196 | + | 0.0334196i | ||||
\(691\) | 2.99601 | − | 11.1813i | 0.113974 | − | 0.425356i | −0.885234 | − | 0.465145i | \(-0.846002\pi\) |
0.999208 | + | 0.0397895i | \(0.0126687\pi\) | |||||||
\(692\) | 48.8906 | − | 48.8906i | 1.85854 | − | 1.85854i | ||||
\(693\) | −0.0857107 | − | 0.148455i | −0.00325588 | − | 0.00563935i | ||||
\(694\) | −59.3050 | − | 15.8907i | −2.25119 | − | 0.603204i | ||||
\(695\) | −4.57791 | − | 2.64306i | −0.173650 | − | 0.100257i | ||||
\(696\) | 0.653333 | 0.0247645 | ||||||||
\(697\) | 29.7411 | + | 37.0900i | 1.12652 | + | 1.40488i | ||||
\(698\) | 1.99048 | + | 3.44761i | 0.0753408 | + | 0.130494i | ||||
\(699\) | 0.123762i | 0.00468110i | ||||||||
\(700\) | 0.322148 | + | 0.0863194i | 0.0121761 | + | 0.00326257i | ||||
\(701\) | −0.0961559 | + | 0.166547i | −0.00363176 | + | 0.00629039i | −0.867836 | − | 0.496852i | \(-0.834489\pi\) |
0.864204 | + | 0.503142i | \(0.167823\pi\) | |||||||
\(702\) | −0.0791890 | − | 0.295537i | −0.00298879 | − | 0.0111543i | ||||
\(703\) | −2.69393 | + | 0.721836i | −0.101603 | + | 0.0272245i | ||||
\(704\) | 15.0455 | + | 15.0455i | 0.567049 | + | 0.567049i | ||||
\(705\) | 0.0878812 | + | 0.0507382i | 0.00330980 | + | 0.00191091i | ||||
\(706\) | −0.619980 | − | 0.357946i | −0.0233333 | − | 0.0134715i | ||||
\(707\) | 0.00718451 | − | 0.0268129i | 0.000270201 | − | 0.00100840i | ||||
\(708\) | −0.307957 | + | 1.14931i | −0.0115737 | + | 0.0431938i | ||||
\(709\) | 16.5425 | − | 16.5425i | 0.621265 | − | 0.621265i | −0.324590 | − | 0.945855i | \(-0.605226\pi\) |
0.945855 | + | 0.324590i | \(0.105226\pi\) | |||||||
\(710\) | 35.6435 | 1.33768 | ||||||||
\(711\) | 22.0242 | + | 5.90137i | 0.825972 | + | 0.221319i | ||||
\(712\) | 20.9515 | − | 12.0964i | 0.785192 | − | 0.453331i | ||||
\(713\) | −17.1335 | + | 29.6761i | −0.641655 | + | 1.11138i | ||||
\(714\) | 0.00247802 | − | 0.0225350i | 9.27374e−5 | − | 0.000843353i | ||||
\(715\) | −0.691089 | −0.0258452 | ||||||||
\(716\) | −27.1546 | − | 15.6777i | −1.01481 | − | 0.585903i | ||||
\(717\) | 0.324118 | + | 1.20962i | 0.0121044 | + | 0.0451742i | ||||
\(718\) | 4.00275 | − | 6.93297i | 0.149381 | − | 0.258736i | ||||
\(719\) | 47.2328 | + | 12.6560i | 1.76149 | + | 0.471989i | 0.987016 | − | 0.160623i | \(-0.0513502\pi\) |
0.774470 | + | 0.632611i | \(0.218017\pi\) | |||||||
\(720\) | −3.70896 | − | 3.70896i | −0.138225 | − | 0.138225i | ||||
\(721\) | 0.0812554 | − | 0.303249i | 0.00302611 | − | 0.0112936i | ||||
\(722\) | 26.3194 | + | 15.1955i | 0.979508 | + | 0.565519i | ||||
\(723\) | 0.113791i | 0.00423194i | ||||||||
\(724\) | 31.9394 | − | 8.55814i | 1.18702 | − | 0.318061i | ||||
\(725\) | 3.86519 | − | 14.4251i | 0.143550 | − | 0.535734i | ||||
\(726\) | 1.26807 | + | 0.339778i | 0.0470624 | + | 0.0126103i | ||||
\(727\) | −20.4384 | −0.758018 | −0.379009 | − | 0.925393i | \(-0.623735\pi\) | ||||
−0.379009 | + | 0.925393i | \(0.623735\pi\) | |||||||
\(728\) | 0.0217169 | + | 0.00581903i | 0.000804882 | + | 0.000215668i | ||||
\(729\) | − | 26.7232i | − | 0.989748i | ||||||
\(730\) | −9.92210 | −0.367234 | ||||||||
\(731\) | −25.3211 | + | 9.47843i | −0.936536 | + | 0.350572i | ||||
\(732\) | −0.199938 | −0.00738992 | ||||||||
\(733\) | 14.7254i | 0.543897i | 0.962312 | + | 0.271948i | \(0.0876680\pi\) | ||||
−0.962312 | + | 0.271948i | \(0.912332\pi\) | |||||||
\(734\) | −7.75059 | − | 2.07677i | −0.286080 | − | 0.0766548i | ||||
\(735\) | −0.652264 | −0.0240591 | ||||||||
\(736\) | −40.7802 | − | 10.9270i | −1.50318 | − | 0.402775i | ||||
\(737\) | 4.90543 | − | 18.3073i | 0.180694 | − | 0.674359i | ||||
\(738\) | 73.9220 | − | 19.8073i | 2.72111 | − | 0.729119i | ||||
\(739\) | − | 34.0467i | − | 1.25243i | −0.779652 | − | 0.626213i | \(-0.784604\pi\) | ||
0.779652 | − | 0.626213i | \(-0.215396\pi\) | |||||||
\(740\) | 3.97821 | + | 2.29682i | 0.146242 | + | 0.0844328i | ||||
\(741\) | 0.0137048 | − | 0.0511471i | 0.000503459 | − | 0.00187893i | ||||
\(742\) | 0.205302 | + | 0.205302i | 0.00753689 | + | 0.00753689i | ||||
\(743\) | −23.8306 | − | 6.38538i | −0.874259 | − | 0.234257i | −0.206330 | − | 0.978482i | \(-0.566152\pi\) |
−0.667928 | + | 0.744225i | \(0.732819\pi\) | |||||||
\(744\) | 0.412508 | − | 0.714485i | 0.0151233 | − | 0.0261943i | ||||
\(745\) | 4.48769 | + | 16.7483i | 0.164416 | + | 0.613610i | ||||
\(746\) | 44.4576 | + | 25.6676i | 1.62771 | + | 0.939758i | ||||
\(747\) | 43.2434 | 1.58219 | ||||||||
\(748\) | 12.4125 | + | 15.4796i | 0.453846 | + | 0.565990i | ||||
\(749\) | −0.0546562 | + | 0.0946673i | −0.00199709 | + | 0.00345907i | ||||
\(750\) | −1.48604 | + | 0.857965i | −0.0542625 | + | 0.0313284i | ||||
\(751\) | −16.1041 | − | 4.31508i | −0.587647 | − | 0.157460i | −0.0472696 | − | 0.998882i | \(-0.515052\pi\) |
−0.540378 | + | 0.841423i | \(0.681719\pi\) | |||||||
\(752\) | −1.46607 | −0.0534620 | ||||||||
\(753\) | −0.0689309 | + | 0.0689309i | −0.00251198 | + | 0.00251198i | ||||
\(754\) | 0.832333 | − | 3.10631i | 0.0303118 | − | 0.113125i | ||||
\(755\) | 6.22550 | − | 23.2339i | 0.226569 | − | 0.845567i | ||||
\(756\) | −0.0375021 | − | 0.0216519i | −0.00136394 | − | 0.000787471i | ||||
\(757\) | −13.2222 | − | 7.63383i | −0.480568 | − | 0.277456i | 0.240085 | − | 0.970752i | \(-0.422825\pi\) |
−0.720653 | + | 0.693296i | \(0.756158\pi\) | |||||||
\(758\) | −33.7959 | − | 33.7959i | −1.22752 | − | 1.22752i | ||||
\(759\) | 0.687585 | − | 0.184238i | 0.0249577 | − | 0.00668741i | ||||
\(760\) | 1.56356 | + | 5.83530i | 0.0567164 | + | 0.211669i | ||||
\(761\) | −9.14974 | + | 15.8478i | −0.331678 | + | 0.574483i | −0.982841 | − | 0.184455i | \(-0.940948\pi\) |
0.651163 | + | 0.758938i | \(0.274281\pi\) | |||||||
\(762\) | 0.431176 | + | 0.115533i | 0.0156199 | + | 0.00418533i | ||||
\(763\) | − | 0.483332i | − | 0.0174978i | ||||||
\(764\) | 7.43345 | + | 12.8751i | 0.268933 | + | 0.465805i | ||||
\(765\) | −10.0482 | − | 12.5310i | −0.363292 | − | 0.453060i | ||||
\(766\) | 59.5921 | 2.15315 | ||||||||
\(767\) | 1.58784 | + | 0.916740i | 0.0573336 | + | 0.0331016i | ||||
\(768\) | 0.439245 | + | 0.117695i | 0.0158499 | + | 0.00424696i | ||||
\(769\) | 27.1293 | + | 46.9893i | 0.978306 | + | 1.69448i | 0.668563 | + | 0.743656i | \(0.266910\pi\) |
0.309744 | + | 0.950820i | \(0.399757\pi\) | |||||||
\(770\) | −0.116675 | + | 0.116675i | −0.00420467 | + | 0.00420467i | ||||
\(771\) | 0.428300 | − | 1.59844i | 0.0154248 | − | 0.0575663i | ||||
\(772\) | −35.2744 | − | 35.2744i | −1.26955 | − | 1.26955i | ||||
\(773\) | − | 23.0624i | − | 0.829498i | −0.909936 | − | 0.414749i | \(-0.863869\pi\) | ||
0.909936 | − | 0.414749i | \(-0.136131\pi\) | |||||||
\(774\) | −2.43138 | + | 43.4547i | −0.0873943 | + | 1.56195i | ||||
\(775\) | −13.3348 | − | 13.3348i | −0.479001 | − | 0.479001i | ||||
\(776\) | 15.4564 | + | 15.4564i | 0.554853 | + | 0.554853i | ||||
\(777\) | −0.00290692 | 0.000778908i | −0.000104285 | 2.79432e-5i | ||||||
\(778\) | 13.5283 | 0.485013 | ||||||||
\(779\) | 25.6085 | + | 6.86178i | 0.917520 | + | 0.245849i | ||||
\(780\) | −0.0755306 | + | 0.0436076i | −0.00270443 | + | 0.00156140i | ||||
\(781\) | 10.2186 | − | 17.6991i | 0.365650 | − | 0.633324i | ||||
\(782\) | −51.1813 | − | 19.9292i | −1.83024 | − | 0.712668i | ||||
\(783\) | −0.969523 | + | 1.67926i | −0.0346479 | + | 0.0600120i | ||||
\(784\) | 8.16098 | − | 4.71175i | 0.291464 | − | 0.168277i | ||||
\(785\) | −10.1702 | + | 10.1702i | −0.362989 | + | 0.362989i | ||||
\(786\) | 0.441155 | + | 0.764104i | 0.0157355 | + | 0.0272547i | ||||
\(787\) | −4.37319 | − | 16.3210i | −0.155887 | − | 0.581780i | −0.999028 | − | 0.0440861i | \(-0.985962\pi\) |
0.843140 | − | 0.537694i | \(-0.180704\pi\) | |||||||
\(788\) | −18.8406 | + | 5.04831i | −0.671167 | + | 0.179839i | ||||
\(789\) | 1.65664 | − | 0.443895i | 0.0589779 | − | 0.0158031i | ||||
\(790\) | − | 21.9474i | − | 0.780855i | ||||||
\(791\) | −0.152883 | − | 0.0882671i | −0.00543590 | − | 0.00313842i | ||||
\(792\) | 9.65814 | − | 2.58789i | 0.343187 | − | 0.0919567i | ||||
\(793\) | −0.0797396 | + | 0.297592i | −0.00283164 | + | 0.0105678i | ||||
\(794\) | −68.1249 | − | 18.2540i | −2.41766 | − | 0.647811i | ||||
\(795\) | −0.352584 | −0.0125049 | ||||||||
\(796\) | −33.1693 | + | 33.1693i | −1.17565 | + | 1.17565i | ||||
\(797\) | −28.5921 | + | 16.5076i | −1.01278 | + | 0.584731i | −0.912005 | − | 0.410178i | \(-0.865466\pi\) |
−0.100778 | + | 0.994909i | \(0.532133\pi\) | |||||||
\(798\) | −0.00632129 | − | 0.0109488i | −0.000223771 | − | 0.000387583i | ||||
\(799\) | −4.46252 | − | 0.490711i | −0.157873 | − | 0.0173601i | ||||
\(800\) | 11.6172 | − | 20.1216i | 0.410730 | − | 0.711406i | ||||
\(801\) | 35.8704i | 1.26742i | ||||||||
\(802\) | −1.64012 | − | 6.12099i | −0.0579145 | − | 0.216140i | ||||
\(803\) | −2.84456 | + | 4.92692i | −0.100382 | + | 0.173867i | ||||
\(804\) | −0.619064 | − | 2.31038i | −0.0218327 | − | 0.0814808i | ||||
\(805\) | 0.0700773 | − | 0.261532i | 0.00246990 | − | 0.00921779i | ||||
\(806\) | −2.87153 | − | 2.87153i | −0.101145 | − | 0.101145i | ||||
\(807\) | −0.769535 | + | 0.444291i | −0.0270889 | + | 0.0156398i | ||||
\(808\) | 1.40222 | + | 0.809572i | 0.0493299 | + | 0.0284806i | ||||
\(809\) | 27.5447 | + | 27.5447i | 0.968420 | + | 0.968420i | 0.999516 | − | 0.0310962i | \(-0.00989984\pi\) |
−0.0310962 | + | 0.999516i | \(0.509900\pi\) | |||||||
\(810\) | −24.9320 | + | 6.68051i | −0.876022 | + | 0.234729i | ||||
\(811\) | 1.50991 | + | 0.404578i | 0.0530199 | + | 0.0142067i | 0.285232 | − | 0.958459i | \(-0.407930\pi\) |
−0.232212 | + | 0.972665i | \(0.574596\pi\) | |||||||
\(812\) | −0.227577 | − | 0.394175i | −0.00798638 | − | 0.0138328i | ||||
\(813\) | −0.820983 | + | 0.820983i | −0.0287931 | + | 0.0287931i | ||||
\(814\) | 3.84796 | − | 2.22162i | 0.134871 | − | 0.0778678i | ||||
\(815\) | 31.9861 | 1.12042 | ||||||||
\(816\) | −0.370643 | − | 0.144323i | −0.0129751 | − | 0.00505231i | ||||
\(817\) | −8.25637 | + | 12.6159i | −0.288854 | + | 0.441373i | ||||
\(818\) | − | 61.3114i | − | 2.14370i | ||||||
\(819\) | −0.0235717 | + | 0.0235717i | −0.000823662 | + | 0.000823662i | ||||
\(820\) | −21.8336 | − | 37.8169i | −0.762463 | − | 1.32063i | ||||
\(821\) | 2.57925 | − | 2.57925i | 0.0900164 | − | 0.0900164i | −0.660665 | − | 0.750681i | \(-0.729725\pi\) |
0.750681 | + | 0.660665i | \(0.229725\pi\) | |||||||
\(822\) | 0.900426 | − | 3.36044i | 0.0314060 | − | 0.117209i | ||||
\(823\) | 3.61799 | − | 13.5025i | 0.126115 | − | 0.470668i | −0.873762 | − | 0.486354i | \(-0.838327\pi\) |
0.999877 | + | 0.0156861i | \(0.00499324\pi\) | |||||||
\(824\) | 15.8588 | + | 9.15610i | 0.552468 | + | 0.318968i | ||||
\(825\) | 0.391750i | 0.0136390i | ||||||||
\(826\) | 0.422843 | − | 0.113300i | 0.0147126 | − | 0.00394222i | ||||
\(827\) | −5.92526 | + | 22.1134i | −0.206042 | + | 0.768958i | 0.783088 | + | 0.621911i | \(0.213643\pi\) |
−0.989130 | + | 0.147047i | \(0.953023\pi\) | |||||||
\(828\) | −37.0601 | + | 37.0601i | −1.28793 | + | 1.28793i | ||||
\(829\) | −24.7133 | − | 42.8047i | −0.858328 | − | 1.48667i | −0.873523 | − | 0.486783i | \(-0.838170\pi\) |
0.0151955 | − | 0.999885i | \(-0.495163\pi\) | |||||||
\(830\) | −10.7732 | − | 40.2060i | −0.373942 | − | 1.39557i | ||||
\(831\) | 1.13274 | + | 0.653991i | 0.0392945 | + | 0.0226867i | ||||
\(832\) | 2.06887 | − | 3.58339i | 0.0717251 | − | 0.124232i | ||||
\(833\) | 26.4181 | − | 11.6104i | 0.915332 | − | 0.402275i | ||||
\(834\) | −0.322632 | + | 0.558816i | −0.0111718 | + | 0.0193502i | ||||
\(835\) | 15.0892 | + | 8.71175i | 0.522183 | + | 0.301483i | ||||
\(836\) | 10.6878 | + | 2.86378i | 0.369645 | + | 0.0990460i | ||||
\(837\) | 1.22429 | + | 2.12054i | 0.0423178 | + | 0.0732966i | ||||
\(838\) | 45.5205 | − | 45.5205i | 1.57248 | − | 1.57248i | ||||
\(839\) | 26.9994 | + | 26.9994i | 0.932124 | + | 0.932124i | 0.997838 | − | 0.0657140i | \(-0.0209325\pi\) |
−0.0657140 | + | 0.997838i | \(0.520933\pi\) | |||||||
\(840\) | −0.00168719 | + | 0.00629667i | −5.82135e−5 | + | 0.000217256i | ||||
\(841\) | 7.46447 | − | 4.30961i | 0.257396 | − | 0.148607i | ||||
\(842\) | 44.4526 | + | 25.6647i | 1.53194 | + | 0.884464i | ||||
\(843\) | −2.01360 | + | 0.539543i | −0.0693521 | + | 0.0185828i | ||||
\(844\) | 22.7595 | + | 22.7595i | 0.783415 | + | 0.783415i | ||||
\(845\) | −4.34186 | − | 16.2040i | −0.149364 | − | 0.557435i | ||||
\(846\) | −3.61341 | + | 6.25861i | −0.124232 | + | 0.215175i | ||||
\(847\) | −0.0741028 | − | 0.276555i | −0.00254620 | − | 0.00950256i | ||||
\(848\) | 4.41146 | − | 2.54696i | 0.151490 | − | 0.0874629i | ||||
\(849\) | −2.29442 | −0.0787442 | ||||||||
\(850\) | 17.8841 | − | 24.3684i | 0.613421 | − | 0.835830i | ||||
\(851\) | −3.64551 | + | 6.31421i | −0.124966 | + | 0.216448i | ||||
\(852\) | − | 2.57917i | − | 0.0883608i | ||||||
\(853\) | −2.73980 | − | 10.2251i | −0.0938088 | − | 0.350099i | 0.903027 | − | 0.429583i | \(-0.141339\pi\) |
−0.996836 | + | 0.0794838i | \(0.974673\pi\) | |||||||
\(854\) | 0.0367796 | + | 0.0637041i | 0.00125857 | + | 0.00217991i | ||||
\(855\) | −8.65196 | − | 2.31829i | −0.295891 | − | 0.0792837i | ||||
\(856\) | −4.50857 | − | 4.50857i | −0.154100 | − | 0.154100i | ||||
\(857\) | −5.78385 | + | 21.5856i | −0.197573 | + | 0.737351i | 0.794013 | + | 0.607901i | \(0.207988\pi\) |
−0.991586 | + | 0.129451i | \(0.958679\pi\) | |||||||
\(858\) | 0.0843597i | 0.00287999i | ||||||||
\(859\) | − | 16.9943i | − | 0.579837i | −0.957051 | − | 0.289918i | \(-0.906372\pi\) | ||
0.957051 | − | 0.289918i | \(-0.0936282\pi\) | |||||||
\(860\) | 24.3091 | − | 5.07734i | 0.828934 | − | 0.173136i | ||||
\(861\) | 0.0202290 | + | 0.0202290i | 0.000689401 | + | 0.000689401i | ||||
\(862\) | −28.7339 | + | 28.7339i | −0.978679 | + | 0.978679i | ||||
\(863\) | −2.81575 | − | 4.87702i | −0.0958492 | − | 0.166016i | 0.814113 | − | 0.580706i | \(-0.197223\pi\) |
−0.909963 | + | 0.414690i | \(0.863890\pi\) | |||||||
\(864\) | −2.13319 | + | 2.13319i | −0.0725727 | + | 0.0725727i | ||||
\(865\) | 26.7526 | − | 15.4456i | 0.909617 | − | 0.525168i | ||||
\(866\) | 6.49157 | + | 11.2437i | 0.220592 | + | 0.382077i | ||||
\(867\) | −1.07988 | − | 0.563360i | −0.0366748 | − | 0.0191327i | ||||
\(868\) | −0.574759 | −0.0195086 | ||||||||
\(869\) | −10.8982 | − | 6.29209i | −0.369697 | − | 0.213445i | ||||
\(870\) | 0.900653 | + | 0.241329i | 0.0305350 | + | 0.00818183i | ||||
\(871\) | −3.68571 | −0.124886 | ||||||||
\(872\) | 27.2316 | + | 7.29670i | 0.922180 | + | 0.247097i | ||||
\(873\) | −31.3054 | + | 8.38824i | −1.05953 | + | 0.283899i | ||||
\(874\) | −29.5854 | + | 7.92739i | −1.00074 | + | 0.268148i | ||||
\(875\) | 0.324093 | + | 0.187115i | 0.0109563 | + | 0.00632565i | ||||
\(876\) | 0.717965i | 0.0242578i | ||||||||
\(877\) | −19.0122 | + | 5.09429i | −0.641995 | + | 0.172022i | −0.565107 | − | 0.825018i | \(-0.691165\pi\) |
−0.0768881 | + | 0.997040i | \(0.524498\pi\) | |||||||
\(878\) | 6.17746 | − | 1.65525i | 0.208479 | − | 0.0558618i | ||||
\(879\) | −0.793198 | − | 0.212537i | −0.0267539 | − | 0.00716869i | ||||
\(880\) | 1.44746 | + | 2.50707i | 0.0487937 | + | 0.0845132i | ||||
\(881\) | 20.8494 | − | 20.8494i | 0.702436 | − | 0.702436i | −0.262497 | − | 0.964933i | \(-0.584546\pi\) |
0.964933 | + | 0.262497i | \(0.0845460\pi\) | |||||||
\(882\) | − | 46.4521i | − | 1.56412i | ||||||
\(883\) | −23.6666 | − | 40.9918i | −0.796445 | − | 1.37948i | −0.921918 | − | 0.387385i | \(-0.873378\pi\) |
0.125473 | − | 0.992097i | \(-0.459955\pi\) | |||||||
\(884\) | 2.28293 | − | 3.11065i | 0.0767832 | − | 0.104623i | ||||
\(885\) | −0.265802 | + | 0.460383i | −0.00893485 | + | 0.0154756i | ||||
\(886\) | 53.2684 | + | 30.7545i | 1.78959 | + | 1.03322i | ||||
\(887\) | −16.3872 | + | 16.3872i | −0.550230 | + | 0.550230i | −0.926507 | − | 0.376277i | \(-0.877204\pi\) |
0.376277 | + | 0.926507i | \(0.377204\pi\) | |||||||
\(888\) | 0.0877697 | − | 0.152022i | 0.00294536 | − | 0.00510151i | ||||
\(889\) | −0.0251969 | − | 0.0940360i | −0.000845076 | − | 0.00315387i | ||||
\(890\) | 33.3509 | − | 8.93636i | 1.11793 | − | 0.299547i | ||||
\(891\) | −3.83046 | + | 14.2955i | −0.128325 | + | 0.478916i | ||||
\(892\) | − | 7.50308i | − | 0.251222i | ||||||
\(893\) | −2.16814 | + | 1.25178i | −0.0725542 | + | 0.0418892i | ||||
\(894\) | 2.04443 | − | 0.547802i | 0.0683758 | − | 0.0183212i | ||||
\(895\) | −9.90587 | − | 9.90587i | −0.331117 | − | 0.331117i | ||||
\(896\) | −0.129790 | − | 0.484382i | −0.00433597 | − | 0.0161821i | ||||
\(897\) | −0.0692139 | − | 0.119882i | −0.00231098 | − | 0.00400274i | ||||
\(898\) | 9.88323 | + | 2.64820i | 0.329808 | + | 0.0883717i | ||||
\(899\) | 25.7364i | 0.858358i | ||||||||
\(900\) | −14.4218 | − | 24.9792i | −0.480725 | − | 0.832640i | ||||
\(901\) | 14.2804 | − | 6.27604i | 0.475750 | − | 0.209085i | ||||
\(902\) | −42.2375 | −1.40636 | ||||||||
\(903\) | −0.0145222 | + | 0.00733492i | −0.000483270 | + | 0.000244091i | ||||
\(904\) | 7.28112 | − | 7.28112i | 0.242167 | − | 0.242167i | ||||
\(905\) | 14.7733 | 0.491082 | ||||||||
\(906\) | −2.83611 | − | 0.759933i | −0.0942234 | − | 0.0252471i | ||||
\(907\) | 9.22875 | + | 9.22875i | 0.306436 | + | 0.306436i | 0.843525 | − | 0.537090i | \(-0.180476\pi\) |
−0.537090 | + | 0.843525i | \(0.680476\pi\) | |||||||
\(908\) | −16.7258 | + | 62.4216i | −0.555066 | + | 2.07153i | ||||
\(909\) | −2.07906 | + | 1.20035i | −0.0689581 | + | 0.0398130i | ||||
\(910\) | 0.0277884 | + | 0.0160437i | 0.000921177 | + | 0.000531842i | ||||
\(911\) | 34.3413 | + | 34.3413i | 1.13778 | + | 1.13778i | 0.988848 | + | 0.148929i | \(0.0475825\pi\) |
0.148929 | + | 0.988848i | \(0.452417\pi\) | |||||||
\(912\) | −0.214251 | + | 0.0574083i | −0.00709455 | + | 0.00190098i | ||||
\(913\) | −23.0532 | − | 6.17710i | −0.762951 | − | 0.204432i | ||||
\(914\) | 21.9567 | 0.726265 | ||||||||
\(915\) | −0.0862848 | − | 0.0231199i | −0.00285249 | − | 0.000764322i | ||||
\(916\) | −36.4780 | − | 21.0606i | −1.20527 | − | 0.695861i | ||||
\(917\) | 0.0962124 | − | 0.166645i | 0.00317721 | − | 0.00550309i | ||||
\(918\) | −3.06189 | + | 2.45521i | −0.101057 | + | 0.0810341i | ||||
\(919\) | 6.80436 | 0.224455 | 0.112228 | − | 0.993683i | \(-0.464201\pi\) | ||||
0.112228 | + | 0.993683i | \(0.464201\pi\) | |||||||
\(920\) | 13.6772 | + | 7.89651i | 0.450923 | + | 0.260340i | ||||
\(921\) | 0.0844752 | + | 0.315266i | 0.00278355 | + | 0.0103884i | ||||
\(922\) | −30.0725 | − | 52.0871i | −0.990386 | − | 1.71540i | ||||
\(923\) | −3.83889 | − | 1.02863i | −0.126359 | − | 0.0338577i | ||||
\(924\) | 0.00844261 | + | 0.00844261i | 0.000277742 | + | 0.000277742i | ||||
\(925\) | −2.83726 | − | 2.83726i | −0.0932886 | − | 0.0932886i | ||||
\(926\) | −32.0832 | + | 18.5232i | −1.05432 | + | 0.608711i | ||||
\(927\) | −23.5138 | + | 13.5757i | −0.772294 | + | 0.445884i | ||||
\(928\) | −30.6282 | + | 8.20680i | −1.00542 | + | 0.269401i | ||||
\(929\) | 23.5646 | − | 6.31411i | 0.773129 | − | 0.207159i | 0.149376 | − | 0.988781i | \(-0.452274\pi\) |
0.623753 | + | 0.781621i | \(0.285607\pi\) | |||||||
\(930\) | 0.832581 | − | 0.832581i | 0.0273014 | − | 0.0273014i | ||||
\(931\) | 8.04610 | − | 13.9363i | 0.263700 | − | 0.456742i | ||||
\(932\) | 1.30164 | + | 4.85778i | 0.0426366 | + | 0.159122i | ||||
\(933\) | −0.00492470 | − | 0.00284328i | −0.000161227 | − | 9.30847e-5i | ||||
\(934\) | 15.9872 | + | 27.6907i | 0.523118 | + | 0.906068i | ||||
\(935\) | 3.56672 | + | 8.11567i | 0.116644 | + | 0.265411i | ||||
\(936\) | −0.972210 | − | 1.68392i | −0.0317777 | − | 0.0550406i | ||||
\(937\) | 21.9702 | + | 12.6845i | 0.717736 | + | 0.414385i | 0.813919 | − | 0.580978i | \(-0.197330\pi\) |
−0.0961826 | + | 0.995364i | \(0.530663\pi\) | |||||||
\(938\) | −0.622251 | + | 0.622251i | −0.0203172 | + | 0.0203172i | ||||
\(939\) | 0.0994470 | − | 0.172247i | 0.00324533 | − | 0.00562108i | ||||
\(940\) | 3.98306 | + | 1.06726i | 0.129913 | + | 0.0348101i | ||||
\(941\) | −1.41339 | + | 5.27484i | −0.0460752 | + | 0.171955i | −0.985129 | − | 0.171814i | \(-0.945037\pi\) |
0.939054 | + | 0.343769i | \(0.111704\pi\) | |||||||
\(942\) | 1.24145 | + | 1.24145i | 0.0404487 | + | 0.0404487i | ||||
\(943\) | 60.0230 | − | 34.6543i | 1.95462 | − | 1.12850i | ||||
\(944\) | − | 7.68029i | − | 0.249972i | ||||||
\(945\) | −0.0136806 | − | 0.0136806i | −0.000445030 | − | 0.000445030i | ||||
\(946\) | 7.50346 | − | 22.8186i | 0.243959 | − | 0.741896i | ||||
\(947\) | −15.4989 | + | 15.4989i | −0.503645 | + | 0.503645i | −0.912569 | − | 0.408924i | \(-0.865904\pi\) |
0.408924 | + | 0.912569i | \(0.365904\pi\) | |||||||
\(948\) | −1.58812 | −0.0515797 | ||||||||
\(949\) | 1.06863 | + | 0.286340i | 0.0346893 | + | 0.00929498i | ||||
\(950\) | − | 16.8562i | − | 0.546888i | ||||||
\(951\) | 0.363739 | + | 0.630015i | 0.0117951 | + | 0.0204296i | ||||
\(952\) | −0.0437468 | − | 0.285061i | −0.00141784 | − | 0.00923887i | ||||
\(953\) | −5.40087 | + | 9.35458i | −0.174951 | + | 0.303025i | −0.940144 | − | 0.340776i | \(-0.889310\pi\) |
0.765193 | + | 0.643801i | \(0.222643\pi\) | |||||||
\(954\) | − | 25.1099i | − | 0.812963i | ||||||
\(955\) | 1.71914 | + | 6.41593i | 0.0556301 | + | 0.207614i | ||||
\(956\) | 25.4439 | + | 44.0702i | 0.822915 | + | 1.42533i | ||||
\(957\) | 0.378042 | − | 0.378042i | 0.0122203 | − | 0.0122203i | ||||
\(958\) | −18.5798 | + | 69.3407i | −0.600285 | + | 2.24030i | ||||
\(959\) | −0.732884 | + | 0.196376i | −0.0236661 | + | 0.00634130i | ||||
\(960\) | 1.03898 | + | 0.599854i | 0.0335329 | + | 0.0193602i | ||||
\(961\) | 1.29858 | + | 0.749735i | 0.0418896 | + | 0.0241850i | ||||
\(962\) | −0.610978 | − | 0.610978i | −0.0196987 | − | 0.0196987i | ||||
\(963\) | 9.13165 | − | 2.44682i | 0.294263 | − | 0.0788476i | ||||
\(964\) | 1.19678 | + | 4.46643i | 0.0385456 | + | 0.143854i | ||||
\(965\) | −11.1440 | − | 19.3019i | −0.358737 | − | 0.621351i | ||||
\(966\) | −0.0319246 | − | 0.00855418i | −0.00102716 | − | 0.000275226i | ||||
\(967\) | − | 33.8778i | − | 1.08944i | −0.838620 | − | 0.544718i | \(-0.816637\pi\) | ||
0.838620 | − | 0.544718i | \(-0.183363\pi\) | |||||||
\(968\) | 16.7002 | 0.536766 | ||||||||
\(969\) | −0.671367 | + | 0.103031i | −0.0215674 | + | 0.00330984i | ||||
\(970\) | 15.5981 | + | 27.0167i | 0.500826 | + | 0.867455i | ||||
\(971\) | −47.3343 | − | 27.3285i | −1.51903 | − | 0.877013i | −0.999749 | − | 0.0224104i | \(-0.992866\pi\) |
−0.519282 | − | 0.854603i | \(-0.673801\pi\) | |||||||
\(972\) | 1.45436 | + | 5.42776i | 0.0466487 | + | 0.174095i | ||||
\(973\) | 0.140727 | 0.00451150 | ||||||||
\(974\) | 5.53021 | + | 20.6390i | 0.177199 | + | 0.661317i | ||||
\(975\) | 0.0735857 | − | 0.0197172i | 0.00235663 | − | 0.000631456i | ||||
\(976\) | 1.24659 | − | 0.334022i | 0.0399023 | − | 0.0106918i | ||||
\(977\) | 6.13044 | − | 3.53941i | 0.196130 | − | 0.113236i | −0.398719 | − | 0.917073i | \(-0.630545\pi\) |
0.594849 | + | 0.803837i | \(0.297212\pi\) | |||||||
\(978\) | − | 3.90447i | − | 0.124851i | ||||||
\(979\) | 5.12391 | − | 19.1227i | 0.163761 | − | 0.611164i | ||||
\(980\) | −25.6020 | + | 6.86005i | −0.817827 | + | 0.219136i | ||||
\(981\) | −29.5574 | + | 29.5574i | −0.943695 | + | 0.943695i | ||||
\(982\) | 20.9370 | − | 36.2639i | 0.668125 | − | 1.15723i | ||||
\(983\) | 26.7424 | + | 7.16559i | 0.852949 | + | 0.228547i | 0.658700 | − | 0.752405i | \(-0.271107\pi\) |
0.194248 | + | 0.980952i | \(0.437773\pi\) | |||||||
\(984\) | −1.44512 | + | 0.834340i | −0.0460687 | + | 0.0265978i | ||||
\(985\) | −8.71456 | −0.277669 | ||||||||
\(986\) | −40.7740 | + | 6.25738i | −1.29851 | + | 0.199275i | ||||
\(987\) | −0.00270150 | −8.59898e−5 | ||||||||
\(988\) | − | 2.15171i | − | 0.0684552i | ||||||
\(989\) | 8.05874 | + | 38.5834i | 0.256253 | + | 1.22688i | ||||
\(990\) | 14.2701 | 0.453535 | ||||||||
\(991\) | −5.60098 | + | 5.60098i | −0.177921 | + | 0.177921i | −0.790449 | − | 0.612528i | \(-0.790153\pi\) |
0.612528 | + | 0.790449i | \(0.290153\pi\) | |||||||
\(992\) | −10.3634 | + | 38.6767i | −0.329038 | + | 1.22799i | ||||
\(993\) | −0.177139 | − | 0.177139i | −0.00562134 | − | 0.00562134i | ||||
\(994\) | −0.821772 | + | 0.474450i | −0.0260650 | + | 0.0150486i | ||||
\(995\) | −18.1500 | + | 10.4789i | −0.575394 | + | 0.332204i | ||||
\(996\) | −2.90931 | + | 0.779548i | −0.0921851 | + | 0.0247009i | ||||
\(997\) | −17.8866 | − | 17.8866i | −0.566476 | − | 0.566476i | 0.364664 | − | 0.931139i | \(-0.381184\pi\) |
−0.931139 | + | 0.364664i | \(0.881184\pi\) | |||||||
\(998\) | 16.4647 | + | 61.4470i | 0.521180 | + | 1.94507i | ||||
\(999\) | 0.260494 | + | 0.451189i | 0.00824167 | + | 0.0142750i |
(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.n.a.208.10 | ✓ | 256 | |
17.13 | even | 4 | inner | 731.2.n.a.251.55 | yes | 256 | |
43.6 | even | 3 | inner | 731.2.n.a.565.10 | yes | 256 | |
731.608 | even | 12 | inner | 731.2.n.a.608.55 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.n.a.208.10 | ✓ | 256 | 1.1 | even | 1 | trivial | |
731.2.n.a.251.55 | yes | 256 | 17.13 | even | 4 | inner | |
731.2.n.a.565.10 | yes | 256 | 43.6 | even | 3 | inner | |
731.2.n.a.608.55 | yes | 256 | 731.608 | even | 12 | inner |