Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), 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: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 23.3 | ||
Character | \(\chi\) | \(=\) | 150.23 |
Dual form | 150.2.l.a.137.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.987688 | − | 0.156434i | −0.698401 | − | 0.110616i | ||||
\(3\) | 0.487767 | − | 1.66195i | 0.281612 | − | 0.959528i | ||||
\(4\) | 0.951057 | + | 0.309017i | 0.475528 | + | 0.154508i | ||||
\(5\) | 2.22772 | − | 0.193062i | 0.996266 | − | 0.0863399i | ||||
\(6\) | −0.741748 | + | 1.56519i | −0.302817 | + | 0.638985i | ||||
\(7\) | −0.104631 | + | 0.104631i | −0.0395470 | + | 0.0395470i | −0.726604 | − | 0.687057i | \(-0.758902\pi\) |
0.687057 | + | 0.726604i | \(0.258902\pi\) | |||||||
\(8\) | −0.891007 | − | 0.453990i | −0.315018 | − | 0.160510i | ||||
\(9\) | −2.52417 | − | 1.62129i | −0.841389 | − | 0.540430i | ||||
\(10\) | −2.23049 | − | 0.157807i | −0.705344 | − | 0.0499029i | ||||
\(11\) | 1.81255 | + | 2.49477i | 0.546506 | + | 0.752200i | 0.989533 | − | 0.144308i | \(-0.0460955\pi\) |
−0.443027 | + | 0.896508i | \(0.646096\pi\) | |||||||
\(12\) | 0.977465 | − | 1.42988i | 0.282170 | − | 0.412771i | ||||
\(13\) | −0.711182 | − | 4.49023i | −0.197246 | − | 1.24536i | −0.865301 | − | 0.501252i | \(-0.832873\pi\) |
0.668055 | − | 0.744112i | \(-0.267127\pi\) | |||||||
\(14\) | 0.119711 | − | 0.0869753i | 0.0319942 | − | 0.0232451i | ||||
\(15\) | 0.765748 | − | 3.79653i | 0.197715 | − | 0.980260i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | 1.68388 | − | 3.30481i | 0.408402 | − | 0.801533i | −0.591587 | − | 0.806241i | \(-0.701499\pi\) |
0.999989 | + | 0.00470771i | \(0.00149852\pi\) | |||||||
\(18\) | 2.23946 | + | 1.99620i | 0.527847 | + | 0.470508i | ||||
\(19\) | −3.32698 | + | 1.08100i | −0.763262 | + | 0.247999i | −0.664678 | − | 0.747130i | \(-0.731431\pi\) |
−0.0985837 | + | 0.995129i | \(0.531431\pi\) | |||||||
\(20\) | 2.17835 | + | 0.504790i | 0.487093 | + | 0.112874i | ||||
\(21\) | 0.122857 | + | 0.224928i | 0.0268095 | + | 0.0490834i | ||||
\(22\) | −1.39997 | − | 2.74760i | −0.298475 | − | 0.585790i | ||||
\(23\) | −0.773401 | + | 4.88306i | −0.161265 | + | 1.01819i | 0.765743 | + | 0.643147i | \(0.222372\pi\) |
−0.927008 | + | 0.375042i | \(0.877628\pi\) | |||||||
\(24\) | −1.18911 | + | 1.25937i | −0.242727 | + | 0.257067i | ||||
\(25\) | 4.92545 | − | 0.860175i | 0.985091 | − | 0.172035i | ||||
\(26\) | 4.54620i | 0.891583i | ||||||||
\(27\) | −3.92571 | + | 3.40423i | −0.755504 | + | 0.655145i | ||||
\(28\) | −0.131843 | + | 0.0671775i | −0.0249161 | + | 0.0126954i | ||||
\(29\) | −0.509399 | + | 1.56777i | −0.0945931 | + | 0.291128i | −0.987147 | − | 0.159812i | \(-0.948911\pi\) |
0.892554 | + | 0.450940i | \(0.148911\pi\) | |||||||
\(30\) | −1.35023 | + | 3.63000i | −0.246517 | + | 0.662744i | ||||
\(31\) | 2.45755 | + | 7.56355i | 0.441388 | + | 1.35845i | 0.886396 | + | 0.462927i | \(0.153201\pi\) |
−0.445008 | + | 0.895527i | \(0.646799\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 5.03028 | − | 1.79551i | 0.875660 | − | 0.312559i | ||||
\(34\) | −2.18014 | + | 3.00070i | −0.373890 | + | 0.514616i | ||||
\(35\) | −0.212889 | + | 0.253290i | −0.0359848 | + | 0.0428138i | ||||
\(36\) | −1.89962 | − | 2.32195i | −0.316603 | − | 0.386992i | ||||
\(37\) | −8.30199 | + | 1.31491i | −1.36484 | + | 0.216169i | −0.795510 | − | 0.605941i | \(-0.792797\pi\) |
−0.569329 | + | 0.822110i | \(0.692797\pi\) | |||||||
\(38\) | 3.45513 | − | 0.547238i | 0.560495 | − | 0.0887737i | ||||
\(39\) | −7.80943 | − | 1.00823i | −1.25051 | − | 0.161447i | ||||
\(40\) | −2.07256 | − | 0.839343i | −0.327700 | − | 0.132712i | ||||
\(41\) | −1.27149 | + | 1.75005i | −0.198573 | + | 0.273312i | −0.896678 | − | 0.442683i | \(-0.854027\pi\) |
0.698105 | + | 0.715995i | \(0.254027\pi\) | |||||||
\(42\) | −0.0861576 | − | 0.241378i | −0.0132944 | − | 0.0372454i | ||||
\(43\) | 2.77052 | + | 2.77052i | 0.422501 | + | 0.422501i | 0.886064 | − | 0.463563i | \(-0.153429\pi\) |
−0.463563 | + | 0.886064i | \(0.653429\pi\) | |||||||
\(44\) | 0.952916 | + | 2.93277i | 0.143657 | + | 0.442132i | ||||
\(45\) | −5.93614 | − | 3.12446i | −0.884908 | − | 0.465767i | ||||
\(46\) | 1.52776 | − | 4.70196i | 0.225256 | − | 0.693266i | ||||
\(47\) | 4.77725 | − | 2.43413i | 0.696833 | − | 0.355054i | −0.0694250 | − | 0.997587i | \(-0.522116\pi\) |
0.766258 | + | 0.642533i | \(0.222116\pi\) | |||||||
\(48\) | 1.37148 | − | 1.05784i | 0.197956 | − | 0.152687i | ||||
\(49\) | 6.97810i | 0.996872i | ||||||||
\(50\) | −4.99937 | + | 0.0790741i | −0.707018 | + | 0.0111828i | ||||
\(51\) | −4.67109 | − | 4.41051i | −0.654083 | − | 0.617595i | ||||
\(52\) | 0.711182 | − | 4.49023i | 0.0986232 | − | 0.622682i | ||||
\(53\) | 5.24200 | + | 10.2880i | 0.720045 | + | 1.41317i | 0.902823 | + | 0.430013i | \(0.141491\pi\) |
−0.182778 | + | 0.983154i | \(0.558509\pi\) | |||||||
\(54\) | 4.40992 | − | 2.74820i | 0.600114 | − | 0.373983i | ||||
\(55\) | 4.51950 | + | 5.20770i | 0.609410 | + | 0.702206i | ||||
\(56\) | 0.140729 | − | 0.0457256i | 0.0188057 | − | 0.00611035i | ||||
\(57\) | 0.173781 | + | 6.05656i | 0.0230178 | + | 0.802211i | ||||
\(58\) | 0.748381 | − | 1.46878i | 0.0982673 | − | 0.192860i | ||||
\(59\) | −10.4207 | − | 7.57107i | −1.35666 | − | 0.985670i | −0.998650 | − | 0.0519515i | \(-0.983456\pi\) |
−0.358009 | − | 0.933718i | \(-0.616544\pi\) | |||||||
\(60\) | 1.90146 | − | 3.37408i | 0.245478 | − | 0.435592i | ||||
\(61\) | 11.8153 | − | 8.58430i | 1.51279 | − | 1.09911i | 0.547871 | − | 0.836563i | \(-0.315439\pi\) |
0.964920 | − | 0.262544i | \(-0.0845614\pi\) | |||||||
\(62\) | −1.24409 | − | 7.85487i | −0.158000 | − | 0.997570i | ||||
\(63\) | 0.433745 | − | 0.0944693i | 0.0546468 | − | 0.0119020i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | −2.45120 | − | 9.86565i | −0.304034 | − | 1.22368i | ||||
\(66\) | −5.24923 | + | 0.986496i | −0.646136 | + | 0.121429i | ||||
\(67\) | 3.23605 | + | 1.64885i | 0.395346 | + | 0.201439i | 0.640350 | − | 0.768083i | \(-0.278789\pi\) |
−0.245004 | + | 0.969522i | \(0.578789\pi\) | |||||||
\(68\) | 2.62271 | − | 2.62271i | 0.318050 | − | 0.318050i | ||||
\(69\) | 7.73817 | + | 3.66715i | 0.931567 | + | 0.441473i | ||||
\(70\) | 0.249891 | − | 0.216868i | 0.0298677 | − | 0.0259207i | ||||
\(71\) | −4.79465 | − | 1.55788i | −0.569020 | − | 0.184886i | 0.0103558 | − | 0.999946i | \(-0.496704\pi\) |
−0.579376 | + | 0.815061i | \(0.696704\pi\) | |||||||
\(72\) | 1.51300 | + | 2.59053i | 0.178309 | + | 0.305297i | ||||
\(73\) | −10.6274 | − | 1.68322i | −1.24385 | − | 0.197006i | −0.500396 | − | 0.865797i | \(-0.666812\pi\) |
−0.743451 | + | 0.668791i | \(0.766812\pi\) | |||||||
\(74\) | 8.40547 | 0.977116 | ||||||||
\(75\) | 0.972905 | − | 8.60543i | 0.112341 | − | 0.993670i | ||||
\(76\) | −3.49819 | −0.401270 | ||||||||
\(77\) | −0.450681 | − | 0.0713809i | −0.0513599 | − | 0.00813461i | ||||
\(78\) | 7.55556 | + | 2.21748i | 0.855499 | + | 0.251081i | ||||
\(79\) | 8.57556 | + | 2.78637i | 0.964826 | + | 0.313491i | 0.748725 | − | 0.662880i | \(-0.230666\pi\) |
0.216100 | + | 0.976371i | \(0.430666\pi\) | |||||||
\(80\) | 1.91574 | + | 1.15323i | 0.214186 | + | 0.128935i | ||||
\(81\) | 3.74283 | + | 8.18481i | 0.415871 | + | 0.909424i | ||||
\(82\) | 1.52960 | − | 1.52960i | 0.168916 | − | 0.168916i | ||||
\(83\) | −9.01058 | − | 4.59112i | −0.989039 | − | 0.503941i | −0.116871 | − | 0.993147i | \(-0.537286\pi\) |
−0.872168 | + | 0.489206i | \(0.837286\pi\) | |||||||
\(84\) | 0.0473370 | + | 0.251884i | 0.00516489 | + | 0.0274828i | ||||
\(85\) | 3.11318 | − | 7.68727i | 0.337672 | − | 0.833801i | ||||
\(86\) | −2.30301 | − | 3.16982i | −0.248340 | − | 0.341810i | ||||
\(87\) | 2.35709 | + | 1.61130i | 0.252707 | + | 0.172750i | ||||
\(88\) | −0.482397 | − | 3.04574i | −0.0514237 | − | 0.324676i | ||||
\(89\) | 6.13326 | − | 4.45607i | 0.650124 | − | 0.472343i | −0.213189 | − | 0.977011i | \(-0.568385\pi\) |
0.863314 | + | 0.504668i | \(0.168385\pi\) | |||||||
\(90\) | 5.37428 | + | 4.01461i | 0.566499 | + | 0.423177i | ||||
\(91\) | 0.544231 | + | 0.395407i | 0.0570509 | + | 0.0414499i | ||||
\(92\) | −2.24450 | + | 4.40507i | −0.234005 | + | 0.459261i | ||||
\(93\) | 13.7690 | − | 0.395073i | 1.42778 | − | 0.0409672i | ||||
\(94\) | −5.09921 | + | 1.65683i | −0.525944 | + | 0.170889i | ||||
\(95\) | −7.20287 | + | 3.05048i | −0.738999 | + | 0.312973i | ||||
\(96\) | −1.52008 | + | 0.830274i | −0.155143 | + | 0.0847395i | ||||
\(97\) | −4.20877 | − | 8.26018i | −0.427336 | − | 0.838694i | −0.999824 | − | 0.0187810i | \(-0.994021\pi\) |
0.572487 | − | 0.819913i | \(-0.305979\pi\) | |||||||
\(98\) | 1.09162 | − | 6.89219i | 0.110270 | − | 0.696217i | ||||
\(99\) | −0.530447 | − | 9.23588i | −0.0533120 | − | 0.928241i | ||||
\(100\) | 4.95019 | + | 0.703974i | 0.495019 | + | 0.0703974i | ||||
\(101\) | − | 4.19074i | − | 0.416994i | −0.978023 | − | 0.208497i | \(-0.933143\pi\) | ||
0.978023 | − | 0.208497i | \(-0.0668571\pi\) | |||||||
\(102\) | 3.92362 | + | 5.08693i | 0.388496 | + | 0.503681i | ||||
\(103\) | −15.5940 | + | 7.94553i | −1.53652 | + | 0.782896i | −0.998207 | − | 0.0598493i | \(-0.980938\pi\) |
−0.538312 | + | 0.842745i | \(0.680938\pi\) | |||||||
\(104\) | −1.40485 | + | 4.32369i | −0.137757 | + | 0.423973i | ||||
\(105\) | 0.317115 | + | 0.477358i | 0.0309473 | + | 0.0465853i | ||||
\(106\) | −3.56807 | − | 10.9814i | −0.346561 | − | 1.06661i | ||||
\(107\) | 0.457779 | + | 0.457779i | 0.0442552 | + | 0.0442552i | 0.728888 | − | 0.684633i | \(-0.240037\pi\) |
−0.684633 | + | 0.728888i | \(0.740037\pi\) | |||||||
\(108\) | −4.78554 | + | 2.02450i | −0.460489 | + | 0.194808i | ||||
\(109\) | −0.0442666 | + | 0.0609277i | −0.00423997 | + | 0.00583582i | −0.811132 | − | 0.584864i | \(-0.801148\pi\) |
0.806892 | + | 0.590699i | \(0.201148\pi\) | |||||||
\(110\) | −3.64920 | − | 5.85059i | −0.347937 | − | 0.557832i | ||||
\(111\) | −1.86413 | + | 14.4389i | −0.176935 | + | 1.37048i | ||||
\(112\) | −0.146149 | + | 0.0231478i | −0.0138098 | + | 0.00218726i | ||||
\(113\) | −16.9061 | + | 2.67766i | −1.59039 | + | 0.251893i | −0.887980 | − | 0.459881i | \(-0.847892\pi\) |
−0.702408 | + | 0.711774i | \(0.747892\pi\) | |||||||
\(114\) | 0.775813 | − | 6.00918i | 0.0726615 | − | 0.562811i | ||||
\(115\) | −0.780186 | + | 11.0274i | −0.0727527 | + | 1.02831i | ||||
\(116\) | −0.968935 | + | 1.33363i | −0.0899634 | + | 0.123824i | ||||
\(117\) | −5.48482 | + | 12.4871i | −0.507072 | + | 1.15443i | ||||
\(118\) | 9.10802 | + | 9.10802i | 0.838461 | + | 0.838461i | ||||
\(119\) | 0.169600 | + | 0.521974i | 0.0155472 | + | 0.0478493i | ||||
\(120\) | −2.40587 | + | 3.03509i | −0.219625 | + | 0.277065i | ||||
\(121\) | 0.460680 | − | 1.41783i | 0.0418800 | − | 0.128893i | ||||
\(122\) | −13.0127 | + | 6.63030i | −1.17811 | + | 0.600279i | ||||
\(123\) | 2.28831 | + | 2.96676i | 0.206330 | + | 0.267504i | ||||
\(124\) | 7.95279i | 0.714181i | ||||||||
\(125\) | 10.8065 | − | 2.86715i | 0.966559 | − | 0.256445i | ||||
\(126\) | −0.443183 | + | 0.0254535i | −0.0394819 | + | 0.00226758i | ||||
\(127\) | 1.39490 | − | 8.80705i | 0.123777 | − | 0.781499i | −0.845218 | − | 0.534421i | \(-0.820530\pi\) |
0.968996 | − | 0.247078i | \(-0.0794704\pi\) | |||||||
\(128\) | −0.453990 | − | 0.891007i | −0.0401275 | − | 0.0787546i | ||||
\(129\) | 5.95584 | − | 3.25310i | 0.524383 | − | 0.286420i | ||||
\(130\) | 0.877698 | + | 10.1276i | 0.0769792 | + | 0.888253i | ||||
\(131\) | 1.60573 | − | 0.521733i | 0.140293 | − | 0.0455840i | −0.238029 | − | 0.971258i | \(-0.576501\pi\) |
0.378322 | + | 0.925674i | \(0.376501\pi\) | |||||||
\(132\) | 5.33893 | − | 0.153190i | 0.464694 | − | 0.0133335i | ||||
\(133\) | 0.235000 | − | 0.461214i | 0.0203771 | − | 0.0399923i | ||||
\(134\) | −2.93827 | − | 2.13478i | −0.253828 | − | 0.184417i | ||||
\(135\) | −8.08815 | + | 8.34157i | −0.696117 | + | 0.717928i | ||||
\(136\) | −3.00070 | + | 2.18014i | −0.257308 | + | 0.186945i | ||||
\(137\) | 2.28802 | + | 14.4460i | 0.195479 | + | 1.23420i | 0.868916 | + | 0.494959i | \(0.164817\pi\) |
−0.673438 | + | 0.739244i | \(0.735183\pi\) | |||||||
\(138\) | −7.06923 | − | 4.83252i | −0.601773 | − | 0.411371i | ||||
\(139\) | −10.4809 | − | 14.4257i | −0.888977 | − | 1.22357i | −0.973853 | − | 0.227180i | \(-0.927050\pi\) |
0.0848764 | − | 0.996391i | \(-0.472950\pi\) | |||||||
\(140\) | −0.280740 | + | 0.175107i | −0.0237269 | + | 0.0147992i | ||||
\(141\) | −1.71522 | − | 9.12684i | −0.144448 | − | 0.768619i | ||||
\(142\) | 4.49191 | + | 2.28874i | 0.376953 | + | 0.192067i | ||||
\(143\) | 9.91301 | − | 9.91301i | 0.828967 | − | 0.828967i | ||||
\(144\) | −1.08912 | − | 2.79532i | −0.0907603 | − | 0.232943i | ||||
\(145\) | −0.832121 | + | 3.59090i | −0.0691039 | + | 0.298208i | ||||
\(146\) | 10.2333 | + | 3.32499i | 0.846912 | + | 0.275178i | ||||
\(147\) | 11.5973 | + | 3.40369i | 0.956527 | + | 0.280732i | ||||
\(148\) | −8.30199 | − | 1.31491i | −0.682419 | − | 0.108085i | ||||
\(149\) | 15.4486 | 1.26560 | 0.632800 | − | 0.774316i | \(-0.281906\pi\) | ||||
0.632800 | + | 0.774316i | \(0.281906\pi\) | |||||||
\(150\) | −2.30711 | + | 8.34729i | −0.188375 | + | 0.681553i | ||||
\(151\) | −7.09145 | −0.577094 | −0.288547 | − | 0.957466i | \(-0.593172\pi\) | ||||
−0.288547 | + | 0.957466i | \(0.593172\pi\) | |||||||
\(152\) | 3.45513 | + | 0.547238i | 0.280248 | + | 0.0443869i | ||||
\(153\) | −9.60845 | + | 5.61182i | −0.776797 | + | 0.453689i | ||||
\(154\) | 0.433966 | + | 0.141004i | 0.0349700 | + | 0.0113624i | ||||
\(155\) | 6.93495 | + | 16.3750i | 0.557029 | + | 1.31527i | ||||
\(156\) | −7.11565 | − | 3.37213i | −0.569708 | − | 0.269987i | ||||
\(157\) | 5.10830 | − | 5.10830i | 0.407687 | − | 0.407687i | −0.473244 | − | 0.880931i | \(-0.656917\pi\) |
0.880931 | + | 0.473244i | \(0.156917\pi\) | |||||||
\(158\) | −8.03409 | − | 4.09358i | −0.639158 | − | 0.325667i | ||||
\(159\) | 19.6551 | − | 3.69380i | 1.55875 | − | 0.292938i | ||||
\(160\) | −1.71175 | − | 1.43872i | −0.135326 | − | 0.113741i | ||||
\(161\) | −0.430000 | − | 0.591844i | −0.0338887 | − | 0.0466439i | ||||
\(162\) | −2.41637 | − | 8.66955i | −0.189848 | − | 0.681145i | ||||
\(163\) | −0.335098 | − | 2.11572i | −0.0262469 | − | 0.165716i | 0.971083 | − | 0.238741i | \(-0.0767347\pi\) |
−0.997330 | + | 0.0730249i | \(0.976735\pi\) | |||||||
\(164\) | −1.75005 | + | 1.27149i | −0.136656 | + | 0.0992863i | ||||
\(165\) | 10.8594 | − | 4.97105i | 0.845404 | − | 0.386996i | ||||
\(166\) | 8.18143 | + | 5.94416i | 0.635002 | + | 0.461356i | ||||
\(167\) | 1.90498 | − | 3.73873i | 0.147412 | − | 0.289312i | −0.805480 | − | 0.592623i | \(-0.798092\pi\) |
0.952891 | + | 0.303312i | \(0.0980923\pi\) | |||||||
\(168\) | −0.00735081 | − | 0.256188i | −0.000567128 | − | 0.0197654i | ||||
\(169\) | −7.29261 | + | 2.36951i | −0.560970 | + | 0.182270i | ||||
\(170\) | −4.27741 | + | 7.10562i | −0.328062 | + | 0.544976i | ||||
\(171\) | 10.1505 | + | 2.66537i | 0.776226 | + | 0.203826i | ||||
\(172\) | 1.77878 | + | 3.49106i | 0.135631 | + | 0.266191i | ||||
\(173\) | −0.0170042 | + | 0.107360i | −0.00129280 | + | 0.00816244i | −0.988326 | − | 0.152352i | \(-0.951315\pi\) |
0.987034 | + | 0.160514i | \(0.0513153\pi\) | |||||||
\(174\) | −2.07601 | − | 1.96020i | −0.157382 | − | 0.148602i | ||||
\(175\) | −0.425356 | + | 0.605359i | −0.0321539 | + | 0.0457608i | ||||
\(176\) | 3.08370i | 0.232443i | ||||||||
\(177\) | −17.6656 | + | 13.6258i | −1.32783 | + | 1.02417i | ||||
\(178\) | −6.75483 | + | 3.44176i | −0.506296 | + | 0.257971i | ||||
\(179\) | −0.495650 | + | 1.52545i | −0.0370466 | + | 0.114018i | −0.967870 | − | 0.251452i | \(-0.919092\pi\) |
0.930823 | + | 0.365470i | \(0.119092\pi\) | |||||||
\(180\) | −4.68009 | − | 4.80590i | −0.348834 | − | 0.358211i | ||||
\(181\) | −3.90297 | − | 12.0121i | −0.290105 | − | 0.892852i | −0.984822 | − | 0.173568i | \(-0.944470\pi\) |
0.694717 | − | 0.719284i | \(-0.255530\pi\) | |||||||
\(182\) | −0.475675 | − | 0.475675i | −0.0352594 | − | 0.0352594i | ||||
\(183\) | −8.50359 | − | 23.8236i | −0.628603 | − | 1.76109i | ||||
\(184\) | 2.90597 | − | 3.99972i | 0.214231 | − | 0.294864i | ||||
\(185\) | −18.2406 | + | 4.53204i | −1.34108 | + | 0.333202i | ||||
\(186\) | −13.6612 | − | 1.76373i | −1.00169 | − | 0.129323i | ||||
\(187\) | 11.2968 | − | 1.78924i | 0.826107 | − | 0.130843i | ||||
\(188\) | 5.29562 | − | 0.838744i | 0.386223 | − | 0.0611717i | ||||
\(189\) | 0.0545633 | − | 0.766943i | 0.00396889 | − | 0.0557869i | ||||
\(190\) | 7.59139 | − | 1.88615i | 0.550738 | − | 0.136835i | ||||
\(191\) | 12.2687 | − | 16.8865i | 0.887734 | − | 1.22186i | −0.0864840 | − | 0.996253i | \(-0.527563\pi\) |
0.974218 | − | 0.225608i | \(-0.0724369\pi\) | |||||||
\(192\) | 1.63125 | − | 0.582259i | 0.117725 | − | 0.0420209i | ||||
\(193\) | −4.75446 | − | 4.75446i | −0.342233 | − | 0.342233i | 0.514973 | − | 0.857206i | \(-0.327802\pi\) |
−0.857206 | + | 0.514973i | \(0.827802\pi\) | |||||||
\(194\) | 2.86478 | + | 8.81688i | 0.205679 | + | 0.633015i | ||||
\(195\) | −17.5919 | − | 0.738358i | −1.25978 | − | 0.0528749i | ||||
\(196\) | −2.15635 | + | 6.63657i | −0.154025 | + | 0.474041i | ||||
\(197\) | 3.85665 | − | 1.96506i | 0.274775 | − | 0.140005i | −0.311174 | − | 0.950353i | \(-0.600722\pi\) |
0.585948 | + | 0.810348i | \(0.300722\pi\) | |||||||
\(198\) | −0.920894 | + | 9.20515i | −0.0654451 | + | 0.654182i | ||||
\(199\) | 0.610848i | 0.0433019i | 0.999766 | + | 0.0216509i | \(0.00689224\pi\) | ||||
−0.999766 | + | 0.0216509i | \(0.993108\pi\) | |||||||
\(200\) | −4.77912 | − | 1.46969i | −0.337935 | − | 0.103923i | ||||
\(201\) | 4.31874 | − | 4.57390i | 0.304621 | − | 0.322618i | ||||
\(202\) | −0.655576 | + | 4.13914i | −0.0461261 | + | 0.291229i | ||||
\(203\) | −0.110739 | − | 0.217337i | −0.00777235 | − | 0.0152541i | ||||
\(204\) | −3.07954 | − | 5.63809i | −0.215611 | − | 0.394745i | ||||
\(205\) | −2.49464 | + | 4.14409i | −0.174233 | + | 0.289436i | ||||
\(206\) | 16.6449 | − | 5.40827i | 1.15971 | − | 0.376812i | ||||
\(207\) | 9.86905 | − | 11.0718i | 0.685947 | − | 0.769540i | ||||
\(208\) | 2.06393 | − | 4.05069i | 0.143108 | − | 0.280865i | ||||
\(209\) | −8.72718 | − | 6.34067i | −0.603671 | − | 0.438593i | ||||
\(210\) | −0.238536 | − | 0.521088i | −0.0164605 | − | 0.0359585i | ||||
\(211\) | 3.67523 | − | 2.67021i | 0.253013 | − | 0.183825i | −0.454048 | − | 0.890977i | \(-0.650020\pi\) |
0.707061 | + | 0.707152i | \(0.250020\pi\) | |||||||
\(212\) | 1.80627 | + | 11.4044i | 0.124055 | + | 0.783254i | ||||
\(213\) | −4.92778 | + | 7.20859i | −0.337646 | + | 0.493925i | ||||
\(214\) | −0.380531 | − | 0.523756i | −0.0260125 | − | 0.0358032i | ||||
\(215\) | 6.70682 | + | 5.63706i | 0.457401 | + | 0.384444i | ||||
\(216\) | 5.04332 | − | 1.25096i | 0.343155 | − | 0.0851168i | ||||
\(217\) | −1.04852 | − | 0.534249i | −0.0711783 | − | 0.0362672i | ||||
\(218\) | 0.0532528 | − | 0.0532528i | 0.00360673 | − | 0.00360673i | ||||
\(219\) | −7.98114 | + | 16.8413i | −0.539316 | + | 1.13803i | ||||
\(220\) | 2.68903 | + | 6.34942i | 0.181295 | + | 0.428078i | ||||
\(221\) | −16.0369 | − | 5.21070i | −1.07876 | − | 0.350509i | ||||
\(222\) | 4.09991 | − | 13.9695i | 0.275168 | − | 0.937571i | ||||
\(223\) | 19.2711 | + | 3.05224i | 1.29049 | + | 0.204393i | 0.763681 | − | 0.645593i | \(-0.223390\pi\) |
0.526805 | + | 0.849986i | \(0.323390\pi\) | |||||||
\(224\) | 0.147971 | 0.00988675 | ||||||||
\(225\) | −13.8273 | − | 5.81437i | −0.921817 | − | 0.387624i | ||||
\(226\) | 17.1168 | 1.13859 | ||||||||
\(227\) | 11.9356 | + | 1.89042i | 0.792194 | + | 0.125471i | 0.539401 | − | 0.842049i | \(-0.318651\pi\) |
0.252793 | + | 0.967520i | \(0.418651\pi\) | |||||||
\(228\) | −1.70630 | + | 5.81383i | −0.113003 | + | 0.385030i | ||||
\(229\) | 5.88719 | + | 1.91287i | 0.389037 | + | 0.126406i | 0.497003 | − | 0.867749i | \(-0.334434\pi\) |
−0.107966 | + | 0.994155i | \(0.534434\pi\) | |||||||
\(230\) | 2.49565 | − | 10.7696i | 0.164558 | − | 0.710125i | ||||
\(231\) | −0.338459 | + | 0.714193i | −0.0222690 | + | 0.0469905i | ||||
\(232\) | 1.16563 | − | 1.16563i | 0.0765274 | − | 0.0765274i | ||||
\(233\) | 6.74965 | + | 3.43912i | 0.442184 | + | 0.225304i | 0.660884 | − | 0.750488i | \(-0.270182\pi\) |
−0.218700 | + | 0.975792i | \(0.570182\pi\) | |||||||
\(234\) | 7.37071 | − | 11.4754i | 0.481838 | − | 0.750168i | ||||
\(235\) | 10.1724 | − | 6.34486i | 0.663575 | − | 0.413893i | ||||
\(236\) | −7.57107 | − | 10.4207i | −0.492835 | − | 0.678329i | ||||
\(237\) | 8.81368 | − | 12.8931i | 0.572510 | − | 0.837494i | ||||
\(238\) | −0.0858568 | − | 0.542079i | −0.00556527 | − | 0.0351377i | ||||
\(239\) | −13.6576 | + | 9.92281i | −0.883435 | + | 0.641853i | −0.934158 | − | 0.356859i | \(-0.883848\pi\) |
0.0507228 | + | 0.998713i | \(0.483848\pi\) | |||||||
\(240\) | 2.85105 | − | 2.62136i | 0.184034 | − | 0.169208i | ||||
\(241\) | −7.96740 | − | 5.78866i | −0.513225 | − | 0.372880i | 0.300820 | − | 0.953681i | \(-0.402740\pi\) |
−0.814046 | + | 0.580801i | \(0.802740\pi\) | |||||||
\(242\) | −0.676805 | + | 1.32830i | −0.0435066 | + | 0.0853866i | ||||
\(243\) | 15.4284 | − | 2.22813i | 0.989732 | − | 0.142934i | ||||
\(244\) | 13.8897 | − | 4.51303i | 0.889196 | − | 0.288917i | ||||
\(245\) | 1.34721 | + | 15.5452i | 0.0860699 | + | 0.993149i | ||||
\(246\) | −1.79603 | − | 3.28821i | −0.114511 | − | 0.209648i | ||||
\(247\) | 7.22003 | + | 14.1701i | 0.459399 | + | 0.901622i | ||||
\(248\) | 1.24409 | − | 7.85487i | 0.0789998 | − | 0.498785i | ||||
\(249\) | −12.0253 | + | 12.7357i | −0.762071 | + | 0.807095i | ||||
\(250\) | −11.1219 | + | 1.14134i | −0.703413 | + | 0.0721849i | ||||
\(251\) | 0.308302i | 0.0194599i | 0.999953 | + | 0.00972993i | \(0.00309718\pi\) | ||||
−0.999953 | + | 0.00972993i | \(0.996903\pi\) | |||||||
\(252\) | 0.441709 | + | 0.0441891i | 0.0278250 | + | 0.00278365i | ||||
\(253\) | −13.5839 | + | 6.92136i | −0.854014 | + | 0.435142i | ||||
\(254\) | −2.75545 | + | 8.48041i | −0.172892 | + | 0.532108i | ||||
\(255\) | −11.2574 | − | 8.92356i | −0.704963 | − | 0.558815i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −5.10907 | − | 5.10907i | −0.318695 | − | 0.318695i | 0.529571 | − | 0.848266i | \(-0.322353\pi\) |
−0.848266 | + | 0.529571i | \(0.822353\pi\) | |||||||
\(258\) | −6.39141 | + | 2.28135i | −0.397912 | + | 0.142031i | ||||
\(259\) | 0.731069 | − | 1.00623i | 0.0454264 | − | 0.0625241i | ||||
\(260\) | 0.717421 | − | 10.1403i | 0.0444926 | − | 0.628872i | ||||
\(261\) | 3.82762 | − | 3.13143i | 0.236924 | − | 0.193831i | ||||
\(262\) | −1.66758 | + | 0.264118i | −0.103023 | + | 0.0163173i | ||||
\(263\) | 5.16055 | − | 0.817350i | 0.318213 | − | 0.0504000i | 0.00471508 | − | 0.999989i | \(-0.498499\pi\) |
0.313498 | + | 0.949589i | \(0.398499\pi\) | |||||||
\(264\) | −5.29716 | − | 0.683889i | −0.326018 | − | 0.0420904i | ||||
\(265\) | 13.6639 | + | 21.9068i | 0.839369 | + | 1.34572i | ||||
\(266\) | −0.304257 | + | 0.418773i | −0.0186552 | + | 0.0256766i | ||||
\(267\) | −4.41418 | − | 12.3667i | −0.270143 | − | 0.756830i | ||||
\(268\) | 2.56814 | + | 2.56814i | 0.156874 | + | 0.156874i | ||||
\(269\) | 0.702217 | + | 2.16120i | 0.0428149 | + | 0.131771i | 0.970179 | − | 0.242389i | \(-0.0779311\pi\) |
−0.927364 | + | 0.374160i | \(0.877931\pi\) | |||||||
\(270\) | 9.29348 | − | 6.97361i | 0.565583 | − | 0.424400i | ||||
\(271\) | −5.82840 | + | 17.9380i | −0.354050 | + | 1.08965i | 0.602508 | + | 0.798113i | \(0.294168\pi\) |
−0.956558 | + | 0.291541i | \(0.905832\pi\) | |||||||
\(272\) | 3.30481 | − | 1.68388i | 0.200383 | − | 0.102100i | ||||
\(273\) | 0.922605 | − | 0.711619i | 0.0558386 | − | 0.0430691i | ||||
\(274\) | − | 14.6260i | − | 0.883592i | ||||||
\(275\) | 11.0736 | + | 10.7287i | 0.667762 | + | 0.646968i | ||||
\(276\) | 6.22623 | + | 5.87890i | 0.374775 | + | 0.353868i | ||||
\(277\) | 2.59202 | − | 16.3654i | 0.155739 | − | 0.983299i | −0.778757 | − | 0.627326i | \(-0.784149\pi\) |
0.934496 | − | 0.355973i | \(-0.115851\pi\) | |||||||
\(278\) | 8.09517 | + | 15.8877i | 0.485516 | + | 0.952878i | ||||
\(279\) | 6.05945 | − | 23.0761i | 0.362770 | − | 1.38153i | ||||
\(280\) | 0.304677 | − | 0.129033i | 0.0182079 | − | 0.00771121i | ||||
\(281\) | −23.8171 | + | 7.73865i | −1.42081 | + | 0.461649i | −0.915859 | − | 0.401499i | \(-0.868489\pi\) |
−0.504951 | + | 0.863148i | \(0.668489\pi\) | |||||||
\(282\) | 0.266351 | + | 9.28279i | 0.0158610 | + | 0.552782i | ||||
\(283\) | 12.1655 | − | 23.8762i | 0.723165 | − | 1.41929i | −0.177209 | − | 0.984173i | \(-0.556707\pi\) |
0.900374 | − | 0.435117i | \(-0.143293\pi\) | |||||||
\(284\) | −4.07857 | − | 2.96325i | −0.242019 | − | 0.175837i | ||||
\(285\) | 1.55643 | + | 13.4588i | 0.0921947 | + | 0.797228i | ||||
\(286\) | −11.3417 | + | 8.24023i | −0.670649 | + | 0.487255i | ||||
\(287\) | −0.0500729 | − | 0.316148i | −0.00295571 | − | 0.0186616i | ||||
\(288\) | 0.638430 | + | 2.93128i | 0.0376198 | + | 0.172727i | ||||
\(289\) | 1.90607 | + | 2.62348i | 0.112122 | + | 0.154322i | ||||
\(290\) | 1.38362 | − | 3.41651i | 0.0812488 | − | 0.200625i | ||||
\(291\) | −15.7809 | + | 2.96573i | −0.925094 | + | 0.173854i | ||||
\(292\) | −9.58715 | − | 4.88489i | −0.561045 | − | 0.285867i | ||||
\(293\) | 1.78525 | − | 1.78525i | 0.104296 | − | 0.104296i | −0.653033 | − | 0.757329i | \(-0.726504\pi\) |
0.757329 | + | 0.653033i | \(0.226504\pi\) | |||||||
\(294\) | −10.9220 | − | 5.17600i | −0.636986 | − | 0.301870i | ||||
\(295\) | −24.6760 | − | 14.8544i | −1.43669 | − | 0.864855i | ||||
\(296\) | 7.99408 | + | 2.59743i | 0.464646 | + | 0.150973i | ||||
\(297\) | −15.6083 | − | 3.62338i | −0.905687 | − | 0.210250i | ||||
\(298\) | −15.2584 | − | 2.41669i | −0.883896 | − | 0.139995i | ||||
\(299\) | 22.4761 | 1.29983 | ||||||||
\(300\) | 3.58451 | − | 7.88361i | 0.206952 | − | 0.455160i | ||||
\(301\) | −0.579767 | −0.0334172 | ||||||||
\(302\) | 7.00414 | + | 1.10935i | 0.403043 | + | 0.0638357i | ||||
\(303\) | −6.96480 | − | 2.04410i | −0.400117 | − | 0.117431i | ||||
\(304\) | −3.32698 | − | 1.08100i | −0.190815 | − | 0.0619997i | ||||
\(305\) | 24.6638 | − | 21.4045i | 1.41224 | − | 1.22562i | ||||
\(306\) | 10.3680 | − | 4.03963i | 0.592701 | − | 0.230931i | ||||
\(307\) | −18.1356 | + | 18.1356i | −1.03505 | + | 1.03505i | −0.0356889 | + | 0.999363i | \(0.511363\pi\) |
−0.999363 | + | 0.0356889i | \(0.988637\pi\) | |||||||
\(308\) | −0.406565 | − | 0.207155i | −0.0231662 | − | 0.0118038i | ||||
\(309\) | 5.59885 | + | 29.7920i | 0.318508 | + | 1.69481i | ||||
\(310\) | −4.28796 | − | 17.2583i | −0.243540 | − | 0.980203i | ||||
\(311\) | 6.19053 | + | 8.52054i | 0.351033 | + | 0.483155i | 0.947623 | − | 0.319391i | \(-0.103478\pi\) |
−0.596590 | + | 0.802546i | \(0.703478\pi\) | |||||||
\(312\) | 6.50052 | + | 4.44375i | 0.368020 | + | 0.251578i | ||||
\(313\) | 2.76954 | + | 17.4862i | 0.156543 | + | 0.988377i | 0.933436 | + | 0.358744i | \(0.116795\pi\) |
−0.776893 | + | 0.629633i | \(0.783205\pi\) | |||||||
\(314\) | −5.84453 | + | 4.24630i | −0.329826 | + | 0.239632i | ||||
\(315\) | 0.948024 | − | 0.294191i | 0.0534151 | − | 0.0165758i | ||||
\(316\) | 7.29480 | + | 5.29999i | 0.410365 | + | 0.298147i | ||||
\(317\) | 2.31211 | − | 4.53776i | 0.129861 | − | 0.254866i | −0.816916 | − | 0.576756i | \(-0.804318\pi\) |
0.946777 | + | 0.321890i | \(0.104318\pi\) | |||||||
\(318\) | −19.9909 | + | 0.573599i | −1.12103 | + | 0.0321659i | ||||
\(319\) | −4.83453 | + | 1.57084i | −0.270682 | + | 0.0879499i | ||||
\(320\) | 1.46561 | + | 1.68878i | 0.0819301 | + | 0.0944058i | ||||
\(321\) | 0.984096 | − | 0.537517i | 0.0549269 | − | 0.0300013i | ||||
\(322\) | 0.332121 | + | 0.651824i | 0.0185084 | + | 0.0363248i | ||||
\(323\) | −2.02974 | + | 12.8153i | −0.112938 | + | 0.713063i | ||||
\(324\) | 1.03040 | + | 8.94082i | 0.0572445 | + | 0.496712i | ||||
\(325\) | −7.36527 | − | 21.5047i | −0.408552 | − | 1.19286i | ||||
\(326\) | 2.14210i | 0.118640i | ||||||||
\(327\) | 0.0796671 | + | 0.103287i | 0.00440560 | + | 0.00571181i | ||||
\(328\) | 1.92741 | − | 0.982063i | 0.106423 | − | 0.0542254i | ||||
\(329\) | −0.245164 | + | 0.754537i | −0.0135163 | + | 0.0415990i | ||||
\(330\) | −11.5034 | + | 3.21106i | −0.633239 | + | 0.176763i | ||||
\(331\) | −4.54014 | − | 13.9731i | −0.249548 | − | 0.768031i | −0.994855 | − | 0.101309i | \(-0.967697\pi\) |
0.745307 | − | 0.666722i | \(-0.232303\pi\) | |||||||
\(332\) | −7.15083 | − | 7.15083i | −0.392453 | − | 0.392453i | ||||
\(333\) | 23.0874 | + | 10.1409i | 1.26518 | + | 0.555717i | ||||
\(334\) | −2.46639 | + | 3.39470i | −0.134955 | + | 0.185750i | ||||
\(335\) | 7.52733 | + | 3.04841i | 0.411262 | + | 0.166553i | ||||
\(336\) | −0.0328164 | + | 0.254184i | −0.00179028 | + | 0.0138669i | ||||
\(337\) | −24.4578 | + | 3.87373i | −1.33230 | + | 0.211015i | −0.781648 | − | 0.623720i | \(-0.785621\pi\) |
−0.550651 | + | 0.834735i | \(0.685621\pi\) | |||||||
\(338\) | 7.57350 | − | 1.19952i | 0.411944 | − | 0.0652455i | ||||
\(339\) | −3.79608 | + | 29.4031i | −0.206175 | + | 1.59696i | ||||
\(340\) | 5.33631 | − | 6.34900i | 0.289402 | − | 0.344323i | ||||
\(341\) | −14.4149 | + | 19.8403i | −0.780608 | + | 1.07441i | ||||
\(342\) | −9.60854 | − | 4.22044i | −0.519571 | − | 0.228215i | ||||
\(343\) | −1.46255 | − | 1.46255i | −0.0789703 | − | 0.0789703i | ||||
\(344\) | −1.21076 | − | 3.72634i | −0.0652799 | − | 0.200911i | ||||
\(345\) | 17.9465 | + | 6.67543i | 0.966205 | + | 0.359393i | ||||
\(346\) | 0.0335897 | − | 0.103378i | 0.00180579 | − | 0.00555765i | ||||
\(347\) | −28.4710 | + | 14.5067i | −1.52840 | + | 0.778760i | −0.997633 | − | 0.0687565i | \(-0.978097\pi\) |
−0.530769 | + | 0.847516i | \(0.678097\pi\) | |||||||
\(348\) | 1.74381 | + | 2.26082i | 0.0934778 | + | 0.121193i | ||||
\(349\) | 27.0969i | 1.45047i | 0.688504 | + | 0.725233i | \(0.258268\pi\) | ||||
−0.688504 | + | 0.725233i | \(0.741732\pi\) | |||||||
\(350\) | 0.514818 | − | 0.531366i | 0.0275182 | − | 0.0284027i | ||||
\(351\) | 18.0777 | + | 15.2063i | 0.964914 | + | 0.811652i | ||||
\(352\) | 0.482397 | − | 3.04574i | 0.0257118 | − | 0.162338i | ||||
\(353\) | −2.81680 | − | 5.52827i | −0.149923 | − | 0.294240i | 0.803815 | − | 0.594879i | \(-0.202800\pi\) |
−0.953738 | + | 0.300639i | \(0.902800\pi\) | |||||||
\(354\) | 19.5797 | − | 10.6945i | 1.04065 | − | 0.568406i | ||||
\(355\) | −10.9819 | − | 2.54484i | −0.582858 | − | 0.135066i | ||||
\(356\) | 7.21008 | − | 2.34270i | 0.382133 | − | 0.124163i | ||||
\(357\) | 0.950221 | − | 0.0272647i | 0.0502910 | − | 0.00144300i | ||||
\(358\) | 0.728181 | − | 1.42914i | 0.0384855 | − | 0.0755321i | ||||
\(359\) | −27.6886 | − | 20.1169i | −1.46135 | − | 1.06173i | −0.983009 | − | 0.183555i | \(-0.941239\pi\) |
−0.478338 | − | 0.878176i | \(-0.658761\pi\) | |||||||
\(360\) | 3.87067 | + | 5.47886i | 0.204002 | + | 0.288761i | ||||
\(361\) | −5.47109 | + | 3.97498i | −0.287952 | + | 0.209209i | ||||
\(362\) | 1.97581 | + | 12.4748i | 0.103846 | + | 0.655659i | ||||
\(363\) | −2.13165 | − | 1.45720i | −0.111883 | − | 0.0764829i | ||||
\(364\) | 0.395407 | + | 0.544231i | 0.0207250 | + | 0.0285255i | ||||
\(365\) | −23.9999 | − | 1.69799i | −1.25621 | − | 0.0888767i | ||||
\(366\) | 4.67207 | + | 24.8605i | 0.244213 | + | 1.29948i | ||||
\(367\) | 10.8271 | + | 5.51668i | 0.565170 | + | 0.287968i | 0.713138 | − | 0.701024i | \(-0.247273\pi\) |
−0.147968 | + | 0.988992i | \(0.547273\pi\) | |||||||
\(368\) | −3.49589 | + | 3.49589i | −0.182236 | + | 0.182236i | ||||
\(369\) | 6.04678 | − | 2.35597i | 0.314783 | − | 0.122647i | ||||
\(370\) | 18.7250 | − | 1.62278i | 0.973467 | − | 0.0843641i | ||||
\(371\) | −1.62493 | − | 0.527971i | −0.0843621 | − | 0.0274109i | ||||
\(372\) | 13.2171 | + | 3.87911i | 0.685277 | + | 0.201122i | ||||
\(373\) | 25.3102 | + | 4.00874i | 1.31051 | + | 0.207565i | 0.772307 | − | 0.635249i | \(-0.219103\pi\) |
0.538205 | + | 0.842814i | \(0.319103\pi\) | |||||||
\(374\) | −11.4377 | −0.591427 | ||||||||
\(375\) | 0.505976 | − | 19.3583i | 0.0261285 | − | 0.999659i | ||||
\(376\) | −5.36163 | −0.276505 | ||||||||
\(377\) | 7.40192 | + | 1.17235i | 0.381218 | + | 0.0603790i | ||||
\(378\) | −0.173868 | + | 0.748965i | −0.00894279 | + | 0.0385226i | ||||
\(379\) | −6.14399 | − | 1.99630i | −0.315596 | − | 0.102543i | 0.146936 | − | 0.989146i | \(-0.453059\pi\) |
−0.462532 | + | 0.886603i | \(0.653059\pi\) | |||||||
\(380\) | −7.79299 | + | 0.675368i | −0.399772 | + | 0.0346457i | ||||
\(381\) | −13.9565 | − | 6.61404i | −0.715013 | − | 0.338848i | ||||
\(382\) | −14.7593 | + | 14.7593i | −0.755152 | + | 0.755152i | ||||
\(383\) | 0.244359 | + | 0.124507i | 0.0124861 | + | 0.00636200i | 0.460222 | − | 0.887804i | \(-0.347770\pi\) |
−0.447736 | + | 0.894166i | \(0.647770\pi\) | |||||||
\(384\) | −1.70225 | + | 0.319907i | −0.0868677 | + | 0.0163252i | ||||
\(385\) | −1.01777 | − | 0.0720071i | −0.0518705 | − | 0.00366982i | ||||
\(386\) | 3.95216 | + | 5.43968i | 0.201160 | + | 0.276873i | ||||
\(387\) | −2.50144 | − | 11.4851i | −0.127155 | − | 0.583819i | ||||
\(388\) | −1.45024 | − | 9.15648i | −0.0736250 | − | 0.464850i | ||||
\(389\) | 22.1354 | − | 16.0823i | 1.12231 | − | 0.815407i | 0.137754 | − | 0.990467i | \(-0.456012\pi\) |
0.984558 | + | 0.175059i | \(0.0560117\pi\) | |||||||
\(390\) | 17.2598 | + | 3.48124i | 0.873982 | + | 0.176279i | ||||
\(391\) | 14.8353 | + | 10.7784i | 0.750251 | + | 0.545089i | ||||
\(392\) | 3.16799 | − | 6.21754i | 0.160008 | − | 0.314033i | ||||
\(393\) | −0.0838734 | − | 2.92313i | −0.00423085 | − | 0.147452i | ||||
\(394\) | −4.11657 | + | 1.33755i | −0.207390 | + | 0.0673850i | ||||
\(395\) | 19.6419 | + | 4.55163i | 0.988289 | + | 0.229017i | ||||
\(396\) | 2.34956 | − | 8.94776i | 0.118070 | − | 0.449642i | ||||
\(397\) | 0.538470 | + | 1.05681i | 0.0270250 | + | 0.0530396i | 0.904124 | − | 0.427270i | \(-0.140524\pi\) |
−0.877099 | + | 0.480309i | \(0.840524\pi\) | |||||||
\(398\) | 0.0955577 | − | 0.603327i | 0.00478987 | − | 0.0302421i | ||||
\(399\) | −0.651890 | − | 0.615524i | −0.0326353 | − | 0.0308147i | ||||
\(400\) | 4.49037 | + | 2.19921i | 0.224519 | + | 0.109961i | ||||
\(401\) | − | 4.37934i | − | 0.218694i | −0.994004 | − | 0.109347i | \(-0.965124\pi\) | ||
0.994004 | − | 0.109347i | \(-0.0348759\pi\) | |||||||
\(402\) | −4.98109 | + | 3.84199i | −0.248434 | + | 0.191621i | ||||
\(403\) | 32.2143 | − | 16.4140i | 1.60471 | − | 0.817639i | ||||
\(404\) | 1.29501 | − | 3.98563i | 0.0644291 | − | 0.198292i | ||||
\(405\) | 9.91816 | + | 17.5109i | 0.492837 | + | 0.870122i | ||||
\(406\) | 0.0753765 | + | 0.231985i | 0.00374087 | + | 0.0115132i | ||||
\(407\) | −18.3282 | − | 18.3282i | −0.908494 | − | 0.908494i | ||||
\(408\) | 2.15964 | + | 6.05042i | 0.106918 | + | 0.299540i | ||||
\(409\) | 19.0597 | − | 26.2334i | 0.942440 | − | 1.29716i | −0.0123647 | − | 0.999924i | \(-0.503936\pi\) |
0.954805 | − | 0.297234i | \(-0.0960641\pi\) | |||||||
\(410\) | 3.11221 | − | 3.70282i | 0.153701 | − | 0.182869i | ||||
\(411\) | 25.1245 | + | 3.24369i | 1.23930 | + | 0.160000i | ||||
\(412\) | −17.2861 | + | 2.73784i | −0.851623 | + | 0.134884i | ||||
\(413\) | 1.88250 | − | 0.298159i | 0.0926320 | − | 0.0146715i | ||||
\(414\) | −11.4796 | + | 9.39158i | −0.564189 | + | 0.461571i | ||||
\(415\) | −20.9594 | − | 8.48812i | −1.02886 | − | 0.416665i | ||||
\(416\) | −2.67219 | + | 3.67795i | −0.131015 | + | 0.180326i | ||||
\(417\) | −29.0870 | + | 10.3823i | −1.42440 | + | 0.508425i | ||||
\(418\) | 7.62783 | + | 7.62783i | 0.373089 | + | 0.373089i | ||||
\(419\) | −9.10066 | − | 28.0089i | −0.444596 | − | 1.36833i | −0.882926 | − | 0.469512i | \(-0.844430\pi\) |
0.438330 | − | 0.898814i | \(-0.355570\pi\) | |||||||
\(420\) | 0.154083 | + | 0.551988i | 0.00751847 | + | 0.0269343i | ||||
\(421\) | 1.83346 | − | 5.64281i | 0.0893574 | − | 0.275014i | −0.896385 | − | 0.443277i | \(-0.853816\pi\) |
0.985742 | + | 0.168263i | \(0.0538158\pi\) | |||||||
\(422\) | −4.04770 | + | 2.06240i | −0.197039 | + | 0.100396i | ||||
\(423\) | −16.0050 | − | 1.60116i | −0.778190 | − | 0.0778509i | ||||
\(424\) | − | 11.5465i | − | 0.560748i | ||||||
\(425\) | 5.45118 | − | 17.7261i | 0.264421 | − | 0.859842i | ||||
\(426\) | 5.99479 | − | 6.34897i | 0.290448 | − | 0.307608i | ||||
\(427\) | −0.338062 | + | 2.13444i | −0.0163600 | + | 0.103293i | ||||
\(428\) | 0.293912 | + | 0.576835i | 0.0142068 | + | 0.0278824i | ||||
\(429\) | −11.6397 | − | 21.3102i | −0.561970 | − | 1.02887i | ||||
\(430\) | −5.74242 | − | 6.61683i | −0.276924 | − | 0.319092i | ||||
\(431\) | −16.7496 | + | 5.44228i | −0.806801 | + | 0.262146i | −0.683242 | − | 0.730192i | \(-0.739431\pi\) |
−0.123559 | + | 0.992337i | \(0.539431\pi\) | |||||||
\(432\) | −5.17692 | + | 0.446605i | −0.249075 | + | 0.0214873i | ||||
\(433\) | −4.11844 | + | 8.08290i | −0.197920 | + | 0.388439i | −0.968541 | − | 0.248854i | \(-0.919946\pi\) |
0.770621 | + | 0.637293i | \(0.219946\pi\) | |||||||
\(434\) | 0.952038 | + | 0.691696i | 0.0456993 | + | 0.0332025i | ||||
\(435\) | 5.56201 | + | 3.13447i | 0.266678 | + | 0.150286i | ||||
\(436\) | −0.0609277 | + | 0.0442666i | −0.00291791 | + | 0.00211998i | ||||
\(437\) | −2.70551 | − | 17.0819i | −0.129422 | − | 0.817138i | ||||
\(438\) | 10.5174 | − | 15.3854i | 0.502542 | − | 0.735142i | ||||
\(439\) | 16.9822 | + | 23.3740i | 0.810517 | + | 1.11558i | 0.991243 | + | 0.132048i | \(0.0421553\pi\) |
−0.180726 | + | 0.983533i | \(0.557845\pi\) | |||||||
\(440\) | −1.66266 | − | 6.69191i | −0.0792642 | − | 0.319024i | ||||
\(441\) | 11.3135 | − | 17.6139i | 0.538740 | − | 0.838757i | ||||
\(442\) | 15.0243 | + | 7.65526i | 0.714633 | + | 0.364124i | ||||
\(443\) | 12.4501 | − | 12.4501i | 0.591523 | − | 0.591523i | −0.346520 | − | 0.938043i | \(-0.612637\pi\) |
0.938043 | + | 0.346520i | \(0.112637\pi\) | |||||||
\(444\) | −6.23474 | + | 13.1561i | −0.295888 | + | 0.624362i | ||||
\(445\) | 12.8029 | − | 11.1110i | 0.606915 | − | 0.526711i | ||||
\(446\) | −18.5563 | − | 6.02932i | −0.878668 | − | 0.285497i | ||||
\(447\) | 7.53532 | − | 25.6748i | 0.356408 | − | 1.21438i | ||||
\(448\) | −0.146149 | − | 0.0231478i | −0.00690491 | − | 0.00109363i | ||||
\(449\) | −12.8503 | −0.606444 | −0.303222 | − | 0.952920i | \(-0.598062\pi\) | ||||
−0.303222 | + | 0.952920i | \(0.598062\pi\) | |||||||
\(450\) | 12.7475 | + | 7.90584i | 0.600921 | + | 0.372685i | ||||
\(451\) | −6.67060 | −0.314106 | ||||||||
\(452\) | −16.9061 | − | 2.67766i | −0.795194 | − | 0.125946i | ||||
\(453\) | −3.45897 | + | 11.7856i | −0.162517 | + | 0.553738i | ||||
\(454\) | −11.4929 | − | 3.73428i | −0.539390 | − | 0.175259i | ||||
\(455\) | 1.28873 | + | 0.775785i | 0.0604166 | + | 0.0363694i | ||||
\(456\) | 2.59478 | − | 5.47533i | 0.121512 | − | 0.256406i | ||||
\(457\) | 10.9813 | − | 10.9813i | 0.513683 | − | 0.513683i | −0.401970 | − | 0.915653i | \(-0.631674\pi\) |
0.915653 | + | 0.401970i | \(0.131674\pi\) | |||||||
\(458\) | −5.51547 | − | 2.81027i | −0.257721 | − | 0.131316i | ||||
\(459\) | 4.63989 | + | 18.7060i | 0.216571 | + | 0.873123i | ||||
\(460\) | −4.14965 | + | 10.2466i | −0.193479 | + | 0.477750i | ||||
\(461\) | 6.59561 | + | 9.07808i | 0.307188 | + | 0.422808i | 0.934502 | − | 0.355958i | \(-0.115846\pi\) |
−0.627314 | + | 0.778767i | \(0.715846\pi\) | |||||||
\(462\) | 0.446017 | − | 0.652454i | 0.0207506 | − | 0.0303549i | ||||
\(463\) | 0.201904 | + | 1.27477i | 0.00938330 | + | 0.0592438i | 0.991936 | − | 0.126742i | \(-0.0404521\pi\) |
−0.982552 | + | 0.185986i | \(0.940452\pi\) | |||||||
\(464\) | −1.33363 | + | 0.968935i | −0.0619120 | + | 0.0449817i | ||||
\(465\) | 30.5971 | − | 3.53837i | 1.41891 | − | 0.164088i | ||||
\(466\) | −6.12855 | − | 4.45265i | −0.283900 | − | 0.206265i | ||||
\(467\) | 16.6117 | − | 32.6024i | 0.768700 | − | 1.50866i | −0.0898651 | − | 0.995954i | \(-0.528644\pi\) |
0.858565 | − | 0.512705i | \(-0.171356\pi\) | |||||||
\(468\) | −9.07510 | + | 10.1810i | −0.419497 | + | 0.470619i | ||||
\(469\) | −0.511114 | + | 0.166071i | −0.0236010 | + | 0.00766845i | ||||
\(470\) | −11.0397 | + | 4.67542i | −0.509225 | + | 0.215661i | ||||
\(471\) | −5.99809 | − | 10.9814i | −0.276377 | − | 0.505997i | ||||
\(472\) | 5.84771 | + | 11.4768i | 0.269162 | + | 0.528261i | ||||
\(473\) | −1.89008 | + | 11.9335i | −0.0869062 | + | 0.548704i | ||||
\(474\) | −10.7221 | + | 11.3556i | −0.492482 | + | 0.521578i | ||||
\(475\) | −15.4570 | + | 8.18621i | −0.709218 | + | 0.375609i | ||||
\(476\) | 0.548836i | 0.0251559i | ||||||||
\(477\) | 3.44816 | − | 34.4675i | 0.157881 | − | 1.57816i | ||||
\(478\) | 15.0417 | − | 7.66413i | 0.687991 | − | 0.350549i | ||||
\(479\) | −8.59259 | + | 26.4453i | −0.392605 | + | 1.20832i | 0.538205 | + | 0.842814i | \(0.319103\pi\) |
−0.930811 | + | 0.365502i | \(0.880897\pi\) | |||||||
\(480\) | −3.22602 | + | 2.14309i | −0.147247 | + | 0.0978180i | ||||
\(481\) | 11.8084 | + | 36.3427i | 0.538419 | + | 1.65708i | ||||
\(482\) | 6.96376 | + | 6.96376i | 0.317191 | + | 0.317191i | ||||
\(483\) | −1.19336 | + | 0.425957i | −0.0542996 | + | 0.0193817i | ||||
\(484\) | 0.876264 | − | 1.20607i | 0.0398302 | − | 0.0548216i | ||||
\(485\) | −10.9707 | − | 17.5888i | −0.498153 | − | 0.798666i | ||||
\(486\) | −15.5870 | − | 0.212837i | −0.707041 | − | 0.00965449i | ||||
\(487\) | 9.45297 | − | 1.49720i | 0.428355 | − | 0.0678448i | 0.0614653 | − | 0.998109i | \(-0.480423\pi\) |
0.366890 | + | 0.930264i | \(0.380423\pi\) | |||||||
\(488\) | −14.4247 | + | 2.28464i | −0.652974 | + | 0.103421i | ||||
\(489\) | −3.67968 | − | 0.475064i | −0.166401 | − | 0.0214831i | ||||
\(490\) | 1.10119 | − | 15.5646i | 0.0497468 | − | 0.703137i | ||||
\(491\) | 6.14271 | − | 8.45471i | 0.277216 | − | 0.381556i | −0.647593 | − | 0.761986i | \(-0.724224\pi\) |
0.924809 | + | 0.380431i | \(0.124224\pi\) | |||||||
\(492\) | 1.25953 | + | 3.52869i | 0.0567840 | + | 0.159085i | ||||
\(493\) | 4.32341 | + | 4.32341i | 0.194716 | + | 0.194716i | ||||
\(494\) | −4.91445 | − | 15.1251i | −0.221111 | − | 0.680511i | ||||
\(495\) | −2.96478 | − | 20.4725i | −0.133257 | − | 0.920172i | ||||
\(496\) | −2.45755 | + | 7.56355i | −0.110347 | + | 0.339613i | ||||
\(497\) | 0.664674 | − | 0.338668i | 0.0298147 | − | 0.0151913i | ||||
\(498\) | 13.8695 | − | 10.6978i | 0.621509 | − | 0.479379i | ||||
\(499\) | − | 15.0118i | − | 0.672022i | −0.941858 | − | 0.336011i | \(-0.890922\pi\) | ||
0.941858 | − | 0.336011i | \(-0.109078\pi\) | |||||||
\(500\) | 11.1635 | + | 0.612561i | 0.499249 | + | 0.0273946i | ||||
\(501\) | −5.28441 | − | 4.98961i | −0.236090 | − | 0.222920i | ||||
\(502\) | 0.0482291 | − | 0.304507i | 0.00215257 | − | 0.0135908i | ||||
\(503\) | −5.04097 | − | 9.89345i | −0.224766 | − | 0.441127i | 0.750893 | − | 0.660424i | \(-0.229624\pi\) |
−0.975658 | + | 0.219297i | \(0.929624\pi\) | |||||||
\(504\) | −0.429358 | − | 0.112744i | −0.0191251 | − | 0.00502200i | ||||
\(505\) | −0.809072 | − | 9.33578i | −0.0360032 | − | 0.415437i | ||||
\(506\) | 14.4994 | − | 4.71115i | 0.644578 | − | 0.209436i | ||||
\(507\) | 0.380921 | + | 13.2757i | 0.0169173 | + | 0.589596i | ||||
\(508\) | 4.04816 | − | 7.94495i | 0.179608 | − | 0.352500i | ||||
\(509\) | 31.3045 | + | 22.7440i | 1.38755 | + | 1.00811i | 0.996130 | + | 0.0878971i | \(0.0280147\pi\) |
0.391416 | + | 0.920214i | \(0.371985\pi\) | |||||||
\(510\) | 9.72281 | + | 10.5747i | 0.430533 | + | 0.468257i | ||||
\(511\) | 1.28808 | − | 0.935846i | 0.0569814 | − | 0.0413994i | ||||
\(512\) | −0.156434 | − | 0.987688i | −0.00691349 | − | 0.0436501i | ||||
\(513\) | 9.38079 | − | 15.5695i | 0.414172 | − | 0.687411i | ||||
\(514\) | 4.24694 | + | 5.84540i | 0.187324 | + | 0.257830i | ||||
\(515\) | −33.2050 | + | 20.7110i | −1.46319 | + | 0.912635i | ||||
\(516\) | 6.66961 | − | 1.25343i | 0.293613 | − | 0.0551791i | ||||
\(517\) | 14.7316 | + | 7.50612i | 0.647895 | + | 0.330119i | ||||
\(518\) | −0.879477 | + | 0.879477i | −0.0386420 | + | 0.0386420i | ||||
\(519\) | 0.170133 | + | 0.0806269i | 0.00746802 | + | 0.00353913i | ||||
\(520\) | −2.29487 | + | 9.90319i | −0.100637 | + | 0.434283i | ||||
\(521\) | 20.0378 | + | 6.51069i | 0.877874 | + | 0.285239i | 0.713074 | − | 0.701089i | \(-0.247302\pi\) |
0.164800 | + | 0.986327i | \(0.447302\pi\) | |||||||
\(522\) | −4.27036 | + | 2.49410i | −0.186909 | + | 0.109164i | ||||
\(523\) | 11.4878 | + | 1.81949i | 0.502326 | + | 0.0795606i | 0.402455 | − | 0.915440i | \(-0.368157\pi\) |
0.0998710 | + | 0.995000i | \(0.468157\pi\) | |||||||
\(524\) | 1.68836 | 0.0737565 | ||||||||
\(525\) | 0.798603 | + | 1.00220i | 0.0348539 | + | 0.0437394i | ||||
\(526\) | −5.22487 | −0.227815 | ||||||||
\(527\) | 29.1343 | + | 4.61442i | 1.26911 | + | 0.201007i | ||||
\(528\) | 5.12496 | + | 1.50413i | 0.223035 | + | 0.0654587i | ||||
\(529\) | −1.37184 | − | 0.445739i | −0.0596454 | − | 0.0193800i | ||||
\(530\) | −10.0687 | − | 23.7746i | −0.437358 | − | 1.03270i | ||||
\(531\) | 14.0286 | + | 36.0056i | 0.608791 | + | 1.56251i | ||||
\(532\) | 0.366021 | − | 0.366021i | 0.0158690 | − | 0.0158690i | ||||
\(533\) | 8.76237 | + | 4.46465i | 0.379541 | + | 0.193386i | ||||
\(534\) | 2.42525 | + | 12.9050i | 0.104951 | + | 0.558453i | ||||
\(535\) | 1.10818 | + | 0.931423i | 0.0479109 | + | 0.0402689i | ||||
\(536\) | −2.13478 | − | 2.93827i | −0.0922084 | − | 0.126914i | ||||
\(537\) | 2.29347 | + | 1.56781i | 0.0989704 | + | 0.0676560i | ||||
\(538\) | −0.355485 | − | 2.24445i | −0.0153261 | − | 0.0967649i | ||||
\(539\) | −17.4087 | + | 12.6482i | −0.749847 | + | 0.544796i | ||||
\(540\) | −10.2700 | + | 5.43393i | −0.441949 | + | 0.233839i | ||||
\(541\) | −13.9722 | − | 10.1514i | −0.600713 | − | 0.436443i | 0.245419 | − | 0.969417i | \(-0.421074\pi\) |
−0.846132 | + | 0.532974i | \(0.821074\pi\) | |||||||
\(542\) | 8.56276 | − | 16.8054i | 0.367802 | − | 0.721852i | ||||
\(543\) | −21.8673 | + | 0.627438i | −0.938414 | + | 0.0269259i | ||||
\(544\) | −3.52754 | + | 1.14617i | −0.151242 | + | 0.0491415i | ||||
\(545\) | −0.0868506 | + | 0.144276i | −0.00372027 | + | 0.00618010i | ||||
\(546\) | −1.02257 | + | 0.558531i | −0.0437619 | + | 0.0239029i | ||||
\(547\) | 2.54530 | + | 4.99544i | 0.108829 | + | 0.213590i | 0.938998 | − | 0.343923i | \(-0.111756\pi\) |
−0.830169 | + | 0.557512i | \(0.811756\pi\) | |||||||
\(548\) | −2.28802 | + | 14.4460i | −0.0977393 | + | 0.617101i | ||||
\(549\) | −43.7414 | + | 2.51221i | −1.86684 | + | 0.107219i | ||||
\(550\) | −9.25891 | − | 12.3289i | −0.394801 | − | 0.525708i | ||||
\(551\) | − | 5.76660i | − | 0.245666i | ||||||
\(552\) | −5.22991 | − | 6.78051i | −0.222600 | − | 0.288598i | ||||
\(553\) | −1.18882 | + | 0.605732i | −0.0505536 | + | 0.0257583i | ||||
\(554\) | −5.12021 | + | 15.7584i | −0.217537 | + | 0.669510i | ||||
\(555\) | −1.36515 | + | 32.5256i | −0.0579474 | + | 1.38064i | ||||
\(556\) | −5.51012 | − | 16.9584i | −0.233681 | − | 0.719197i | ||||
\(557\) | 0.714899 | + | 0.714899i | 0.0302913 | + | 0.0302913i | 0.722090 | − | 0.691799i | \(-0.243182\pi\) |
−0.691799 | + | 0.722090i | \(0.743182\pi\) | |||||||
\(558\) | −9.59474 | + | 21.8440i | −0.406178 | + | 0.924732i | ||||
\(559\) | 10.4699 | − | 14.4106i | 0.442830 | − | 0.609504i | ||||
\(560\) | −0.321111 | + | 0.0797827i | −0.0135694 | + | 0.00337143i | ||||
\(561\) | 2.53659 | − | 19.6475i | 0.107095 | − | 0.829520i | ||||
\(562\) | 24.7345 | − | 3.91756i | 1.04336 | − | 0.165252i | ||||
\(563\) | 1.65657 | − | 0.262374i | 0.0698159 | − | 0.0110578i | −0.121429 | − | 0.992600i | \(-0.538748\pi\) |
0.191245 | + | 0.981542i | \(0.438748\pi\) | |||||||
\(564\) | 1.18908 | − | 9.21017i | 0.0500692 | − | 0.387818i | ||||
\(565\) | −37.1450 | + | 9.22898i | −1.56270 | + | 0.388266i | ||||
\(566\) | −15.7508 | + | 21.6791i | −0.662055 | + | 0.911241i | ||||
\(567\) | −1.24801 | − | 0.464771i | −0.0524114 | − | 0.0195185i | ||||
\(568\) | 3.56480 | + | 3.56480i | 0.149576 | + | 0.149576i | ||||
\(569\) | 3.81378 | + | 11.7376i | 0.159882 | + | 0.492066i | 0.998623 | − | 0.0524648i | \(-0.0167077\pi\) |
−0.838741 | + | 0.544531i | \(0.816708\pi\) | |||||||
\(570\) | 0.568149 | − | 13.5365i | 0.0237972 | − | 0.566983i | ||||
\(571\) | −1.99738 | + | 6.14731i | −0.0835879 | + | 0.257257i | −0.984112 | − | 0.177549i | \(-0.943183\pi\) |
0.900524 | + | 0.434806i | \(0.143183\pi\) | |||||||
\(572\) | 12.4911 | − | 6.36454i | 0.522280 | − | 0.266115i | ||||
\(573\) | −22.0802 | − | 28.6267i | −0.922413 | − | 1.19590i | ||||
\(574\) | 0.320088i | 0.0133602i | ||||||||
\(575\) | 0.390937 | + | 24.7166i | 0.0163032 | + | 1.03075i | ||||
\(576\) | −0.172016 | − | 2.99506i | −0.00716735 | − | 0.124794i | ||||
\(577\) | −5.12648 | + | 32.3673i | −0.213418 | + | 1.34747i | 0.615516 | + | 0.788124i | \(0.288947\pi\) |
−0.828935 | + | 0.559346i | \(0.811053\pi\) | |||||||
\(578\) | −1.47220 | − | 2.88935i | −0.0612354 | − | 0.120181i | ||||
\(579\) | −10.2207 | + | 5.58261i | −0.424760 | + | 0.232005i | ||||
\(580\) | −1.90104 | + | 3.15800i | −0.0789365 | + | 0.131129i | ||||
\(581\) | 1.42317 | − | 0.462415i | 0.0590429 | − | 0.0191842i | ||||
\(582\) | 16.0506 | − | 0.460539i | 0.665318 | − | 0.0190900i | ||||
\(583\) | −16.1648 | + | 31.7252i | −0.669477 | + | 1.31392i | ||||
\(584\) | 8.70495 | + | 6.32451i | 0.360213 | + | 0.261710i | ||||
\(585\) | −9.80784 | + | 28.8767i | −0.405504 | + | 1.19390i | ||||
\(586\) | −2.04255 | + | 1.48400i | −0.0843770 | + | 0.0613035i | ||||
\(587\) | 4.09589 | + | 25.8604i | 0.169056 | + | 1.06737i | 0.915615 | + | 0.402056i | \(0.131704\pi\) |
−0.746559 | + | 0.665319i | \(0.768296\pi\) | |||||||
\(588\) | 9.97786 | + | 6.82086i | 0.411480 | + | 0.281287i | ||||
\(589\) | −16.3524 | − | 22.5072i | −0.673790 | − | 0.927392i | ||||
\(590\) | 22.0485 | + | 18.5317i | 0.907722 | + | 0.762937i | ||||
\(591\) | −1.38469 | − | 7.36805i | −0.0569585 | − | 0.303081i | ||||
\(592\) | −7.48933 | − | 3.81600i | −0.307810 | − | 0.156837i | ||||
\(593\) | −28.6751 | + | 28.6751i | −1.17754 | + | 1.17754i | −0.197176 | + | 0.980368i | \(0.563177\pi\) |
−0.980368 | + | 0.197176i | \(0.936823\pi\) | |||||||
\(594\) | 14.8493 | + | 6.02045i | 0.609276 | + | 0.247022i | ||||
\(595\) | 0.478593 | + | 1.13007i | 0.0196204 | + | 0.0463282i | ||||
\(596\) | 14.6925 | + | 4.77388i | 0.601828 | + | 0.195546i | ||||
\(597\) | 1.01520 | + | 0.297951i | 0.0415494 | + | 0.0121943i | ||||
\(598\) | −22.1994 | − | 3.51603i | −0.907799 | − | 0.143781i | ||||
\(599\) | 23.8130 | 0.972971 | 0.486486 | − | 0.873689i | \(-0.338279\pi\) | ||||
0.486486 | + | 0.873689i | \(0.338279\pi\) | |||||||
\(600\) | −4.77365 | + | 7.22581i | −0.194883 | + | 0.294992i | ||||
\(601\) | −24.9278 | −1.01683 | −0.508413 | − | 0.861113i | \(-0.669768\pi\) | ||||
−0.508413 | + | 0.861113i | \(0.669768\pi\) | |||||||
\(602\) | 0.572630 | + | 0.0906956i | 0.0233386 | + | 0.00369648i | ||||
\(603\) | −5.49506 | − | 9.40854i | −0.223776 | − | 0.383145i | ||||
\(604\) | −6.74437 | − | 2.19138i | −0.274424 | − | 0.0891659i | ||||
\(605\) | 0.752536 | − | 3.24746i | 0.0305949 | − | 0.132028i | ||||
\(606\) | 6.55929 | + | 3.10847i | 0.266453 | + | 0.126273i | ||||
\(607\) | −12.2020 | + | 12.2020i | −0.495265 | + | 0.495265i | −0.909960 | − | 0.414695i | \(-0.863888\pi\) |
0.414695 | + | 0.909960i | \(0.363888\pi\) | |||||||
\(608\) | 3.11691 | + | 1.58815i | 0.126408 | + | 0.0644079i | ||||
\(609\) | −0.415219 | + | 0.0780327i | −0.0168255 | + | 0.00316205i | ||||
\(610\) | −27.7085 | + | 17.2827i | −1.12189 | + | 0.699755i | ||||
\(611\) | −14.3273 | − | 19.7198i | −0.579620 | − | 0.797778i | ||||
\(612\) | −10.8723 | + | 2.36798i | −0.439488 | + | 0.0957200i | ||||
\(613\) | −0.289494 | − | 1.82779i | −0.0116926 | − | 0.0738239i | 0.981152 | − | 0.193237i | \(-0.0618987\pi\) |
−0.992845 | + | 0.119413i | \(0.961899\pi\) | |||||||
\(614\) | 20.7493 | − | 15.0753i | 0.837375 | − | 0.608388i | ||||
\(615\) | 5.67048 | + | 6.16733i | 0.228656 | + | 0.248691i | ||||
\(616\) | 0.369154 | + | 0.268206i | 0.0148736 | + | 0.0108063i | ||||
\(617\) | 2.00017 | − | 3.92556i | 0.0805239 | − | 0.158037i | −0.847234 | − | 0.531220i | \(-0.821734\pi\) |
0.927758 | + | 0.373183i | \(0.121734\pi\) | |||||||
\(618\) | −0.869429 | − | 30.3011i | −0.0349736 | − | 1.21889i | ||||
\(619\) | −4.50152 | + | 1.46263i | −0.180931 | + | 0.0587882i | −0.398082 | − | 0.917350i | \(-0.630324\pi\) |
0.217150 | + | 0.976138i | \(0.430324\pi\) | |||||||
\(620\) | 1.53538 | + | 17.7166i | 0.0616624 | + | 0.711514i | ||||
\(621\) | −13.5869 | − | 21.8023i | −0.545224 | − | 0.874897i | ||||
\(622\) | −4.78141 | − | 9.38405i | −0.191717 | − | 0.376266i | ||||
\(623\) | −0.175486 | + | 1.10798i | −0.00703072 | + | 0.0443902i | ||||
\(624\) | −5.72534 | − | 5.40595i | −0.229197 | − | 0.216411i | ||||
\(625\) | 23.5202 | − | 8.47351i | 0.940808 | − | 0.338940i | ||||
\(626\) | − | 17.7041i | − | 0.707599i | ||||||
\(627\) | −14.7947 | + | 11.4114i | −0.590844 | + | 0.455727i | ||||
\(628\) | 6.43684 | − | 3.27973i | 0.256858 | − | 0.130876i | ||||
\(629\) | −9.63406 | + | 29.6506i | −0.384135 | + | 1.18225i | ||||
\(630\) | −0.982374 | + | 0.142265i | −0.0391387 | + | 0.00566798i | ||||
\(631\) | 9.68700 | + | 29.8135i | 0.385633 | + | 1.18686i | 0.936020 | + | 0.351947i | \(0.114480\pi\) |
−0.550387 | + | 0.834910i | \(0.685520\pi\) | |||||||
\(632\) | −6.37589 | − | 6.37589i | −0.253619 | − | 0.253619i | ||||
\(633\) | −2.64511 | − | 7.41050i | −0.105134 | − | 0.294541i | ||||
\(634\) | −2.99350 | + | 4.12020i | −0.118887 | + | 0.163634i | ||||
\(635\) | 1.40714 | − | 19.8889i | 0.0558405 | − | 0.789268i | ||||
\(636\) | 19.8345 | + | 2.56073i | 0.786490 | + | 0.101540i | ||||
\(637\) | 31.3333 | − | 4.96270i | 1.24147 | − | 0.196629i | ||||
\(638\) | 5.02075 | − | 0.795208i | 0.198773 | − | 0.0314826i | ||||
\(639\) | 9.57672 | + | 11.7059i | 0.378849 | + | 0.463076i | ||||
\(640\) | −1.18338 | − | 1.89726i | −0.0467773 | − | 0.0749959i | ||||
\(641\) | 17.3534 | − | 23.8849i | 0.685419 | − | 0.943398i | −0.314564 | − | 0.949236i | \(-0.601858\pi\) |
0.999983 | + | 0.00583804i | \(0.00185832\pi\) | |||||||
\(642\) | −1.05607 | + | 0.376953i | −0.0416796 | + | 0.0148771i | ||||
\(643\) | −23.8141 | − | 23.8141i | −0.939135 | − | 0.939135i | 0.0591164 | − | 0.998251i | \(-0.481172\pi\) |
−0.998251 | + | 0.0591164i | \(0.981172\pi\) | |||||||
\(644\) | −0.226064 | − | 0.695754i | −0.00890818 | − | 0.0274166i | ||||
\(645\) | 12.6399 | − | 8.39684i | 0.497695 | − | 0.330625i | ||||
\(646\) | 4.00951 | − | 12.3400i | 0.157752 | − | 0.485511i | ||||
\(647\) | −32.2362 | + | 16.4252i | −1.26734 | + | 0.645740i | −0.952827 | − | 0.303514i | \(-0.901840\pi\) |
−0.314509 | + | 0.949254i | \(0.601840\pi\) | |||||||
\(648\) | 0.380938 | − | 8.99193i | 0.0149647 | − | 0.353237i | ||||
\(649\) | − | 39.7202i | − | 1.55915i | ||||||
\(650\) | 3.91053 | + | 22.3921i | 0.153383 | + | 0.878290i | ||||
\(651\) | −1.39933 | + | 1.48200i | −0.0548441 | + | 0.0580843i | ||||
\(652\) | 0.335098 | − | 2.11572i | 0.0131234 | − | 0.0828581i | ||||
\(653\) | −7.26139 | − | 14.2513i | −0.284160 | − | 0.557696i | 0.704168 | − | 0.710033i | \(-0.251320\pi\) |
−0.988329 | + | 0.152337i | \(0.951320\pi\) | |||||||
\(654\) | −0.0625286 | − | 0.114478i | −0.00244506 | − | 0.00447646i | ||||
\(655\) | 3.47639 | − | 1.47228i | 0.135834 | − | 0.0575267i | ||||
\(656\) | −2.05731 | + | 0.668459i | −0.0803243 | + | 0.0260990i | ||||
\(657\) | 24.0964 | + | 21.4789i | 0.940091 | + | 0.837971i | ||||
\(658\) | 0.360181 | − | 0.706895i | 0.0140413 | − | 0.0275576i | ||||
\(659\) | −9.25834 | − | 6.72658i | −0.360654 | − | 0.262030i | 0.392671 | − | 0.919679i | \(-0.371551\pi\) |
−0.753325 | + | 0.657649i | \(0.771551\pi\) | |||||||
\(660\) | 11.8641 | − | 1.37201i | 0.461808 | − | 0.0534053i | ||||
\(661\) | 5.86553 | − | 4.26156i | 0.228143 | − | 0.165755i | −0.467842 | − | 0.883812i | \(-0.654968\pi\) |
0.695984 | + | 0.718057i | \(0.254968\pi\) | |||||||
\(662\) | 2.29836 | + | 14.5113i | 0.0893285 | + | 0.563998i | ||||
\(663\) | −16.4822 | + | 24.1109i | −0.640115 | + | 0.936390i | ||||
\(664\) | 5.94416 | + | 8.18143i | 0.230678 | + | 0.317501i | ||||
\(665\) | 0.434471 | − | 1.07282i | 0.0168481 | − | 0.0416023i | ||||
\(666\) | −21.2168 | − | 13.6277i | −0.822135 | − | 0.528063i | ||||
\(667\) | −7.26155 | − | 3.69994i | −0.281168 | − | 0.143262i | ||||
\(668\) | 2.96707 | − | 2.96707i | 0.114800 | − | 0.114800i | ||||
\(669\) | 14.4725 | − | 30.5388i | 0.559538 | − | 1.18070i | ||||
\(670\) | −6.95778 | − | 4.18841i | −0.268803 | − | 0.161813i | ||||
\(671\) | 42.8316 | + | 13.9168i | 1.65350 | + | 0.537254i | ||||
\(672\) | 0.0721755 | − | 0.245921i | 0.00278423 | − | 0.00948661i | ||||
\(673\) | 21.3991 | + | 3.38928i | 0.824874 | + | 0.130647i | 0.554580 | − | 0.832131i | \(-0.312879\pi\) |
0.270294 | + | 0.962778i | \(0.412879\pi\) | |||||||
\(674\) | 24.7626 | 0.953821 | ||||||||
\(675\) | −16.4077 | + | 20.1442i | −0.631532 | + | 0.775350i | ||||
\(676\) | −7.66790 | −0.294919 | ||||||||
\(677\) | 1.71330 | + | 0.271360i | 0.0658476 | + | 0.0104292i | 0.189271 | − | 0.981925i | \(-0.439387\pi\) |
−0.123424 | + | 0.992354i | \(0.539387\pi\) | |||||||
\(678\) | 8.34901 | − | 28.4473i | 0.320642 | − | 1.09251i | ||||
\(679\) | 1.30465 | + | 0.423905i | 0.0500677 | + | 0.0162680i | ||||
\(680\) | −6.26381 | + | 5.43605i | −0.240206 | + | 0.208463i | ||||
\(681\) | 8.96358 | − | 18.9143i | 0.343485 | − | 0.724799i | ||||
\(682\) | 17.3411 | − | 17.3411i | 0.664025 | − | 0.664025i | ||||
\(683\) | 11.0971 | + | 5.65426i | 0.424619 | + | 0.216354i | 0.653224 | − | 0.757165i | \(-0.273416\pi\) |
−0.228604 | + | 0.973519i | \(0.573416\pi\) | |||||||
\(684\) | 8.83003 | + | 5.67159i | 0.337624 | + | 0.216859i | ||||
\(685\) | 7.88602 | + | 31.7398i | 0.301310 | + | 1.21272i | ||||
\(686\) | 1.21575 | + | 1.67334i | 0.0464176 | + | 0.0638883i | ||||
\(687\) | 6.05067 | − | 8.85120i | 0.230847 | − | 0.337694i | ||||
\(688\) | 0.612927 | + | 3.86987i | 0.0233676 | + | 0.147537i | ||||
\(689\) | 42.4675 | − | 30.8544i | 1.61788 | − | 1.17546i | ||||
\(690\) | −16.6812 | − | 9.40069i | −0.635044 | − | 0.357878i | ||||
\(691\) | −30.9813 | − | 22.5093i | −1.17859 | − | 0.856293i | −0.186574 | − | 0.982441i | \(-0.559738\pi\) |
−0.992011 | + | 0.126148i | \(0.959738\pi\) | |||||||
\(692\) | −0.0493481 | + | 0.0968510i | −0.00187593 | + | 0.00368172i | ||||
\(693\) | 1.02187 | + | 0.910863i | 0.0388175 | + | 0.0346008i | ||||
\(694\) | 30.3898 | − | 9.87425i | 1.15358 | − | 0.374821i | ||||
\(695\) | −26.1335 | − | 30.1129i | −0.991300 | − | 1.14225i | ||||
\(696\) | −1.36867 | − | 2.50578i | −0.0518792 | − | 0.0949813i | ||||
\(697\) | 3.64254 | + | 7.14889i | 0.137971 | + | 0.270784i | ||||
\(698\) | 4.23889 | − | 26.7633i | 0.160445 | − | 1.01301i | ||||
\(699\) | 9.00790 | − | 9.54010i | 0.340710 | − | 0.360840i | ||||
\(700\) | −0.591604 | + | 0.444288i | −0.0223605 | + | 0.0167925i | ||||
\(701\) | 22.4631i | 0.848418i | 0.905564 | + | 0.424209i | \(0.139448\pi\) | ||||
−0.905564 | + | 0.424209i | \(0.860552\pi\) | |||||||
\(702\) | −15.4763 | − | 17.8471i | −0.584115 | − | 0.673594i | ||||
\(703\) | 26.1991 | − | 13.3491i | 0.988119 | − | 0.503472i | ||||
\(704\) | −0.952916 | + | 2.93277i | −0.0359144 | + | 0.110533i | ||||
\(705\) | −5.58307 | − | 20.0009i | −0.210271 | − | 0.753277i | ||||
\(706\) | 1.91730 | + | 5.90085i | 0.0721587 | + | 0.222082i | ||||
\(707\) | 0.438483 | + | 0.438483i | 0.0164909 | + | 0.0164909i | ||||
\(708\) | −21.0116 | + | 7.49989i | −0.789664 | + | 0.281863i | ||||
\(709\) | −23.3849 | + | 32.1865i | −0.878238 | + | 1.20879i | 0.0986680 | + | 0.995120i | \(0.468542\pi\) |
−0.976906 | + | 0.213670i | \(0.931458\pi\) | |||||||
\(710\) | 10.4486 | + | 4.23146i | 0.392128 | + | 0.158804i | ||||
\(711\) | −17.1286 | − | 20.9367i | −0.642374 | − | 0.785188i | ||||
\(712\) | −7.48779 | + | 1.18595i | −0.280617 | + | 0.0444453i | ||||
\(713\) | −38.8339 | + | 6.15069i | −1.45434 | + | 0.230345i | ||||
\(714\) | −0.942787 | − | 0.121718i | −0.0352829 | − | 0.00455519i | ||||
\(715\) | 20.1696 | − | 23.9972i | 0.754299 | − | 0.897445i | ||||
\(716\) | −0.942782 | + | 1.29763i | −0.0352334 | + | 0.0484946i | ||||
\(717\) | 9.82952 | + | 27.5383i | 0.367090 | + | 1.02844i | ||||
\(718\) | 24.2007 | + | 24.2007i | 0.903162 | + | 0.903162i | ||||
\(719\) | −3.27225 | − | 10.0709i | −0.122034 | − | 0.375583i | 0.871315 | − | 0.490724i | \(-0.163268\pi\) |
−0.993349 | + | 0.115142i | \(0.963268\pi\) | |||||||
\(720\) | −2.96593 | − | 6.01691i | −0.110534 | − | 0.224237i | ||||
\(721\) | 0.800268 | − | 2.46297i | 0.0298036 | − | 0.0917259i | ||||
\(722\) | 6.02555 | − | 3.07017i | 0.224248 | − | 0.114260i | ||||
\(723\) | −13.5067 | + | 10.4179i | −0.502320 | + | 0.387447i | ||||
\(724\) | − | 12.6303i | − | 0.469400i | ||||||
\(725\) | −1.16047 | + | 8.16015i | −0.0430987 | + | 0.303060i | ||||
\(726\) | 1.87745 | + | 1.77272i | 0.0696788 | + | 0.0657918i | ||||
\(727\) | 2.03732 | − | 12.8632i | 0.0755602 | − | 0.477068i | −0.920672 | − | 0.390338i | \(-0.872358\pi\) |
0.996232 | − | 0.0867303i | \(-0.0276418\pi\) | |||||||
\(728\) | −0.305402 | − | 0.599386i | −0.0113190 | − | 0.0222147i | ||||
\(729\) | 3.82242 | − | 26.7281i | 0.141571 | − | 0.989928i | ||||
\(730\) | 23.4388 | + | 5.43149i | 0.867508 | + | 0.201028i | ||||
\(731\) | 13.8213 | − | 4.49080i | 0.511198 | − | 0.166098i | ||||
\(732\) | −0.725511 | − | 25.2853i | −0.0268157 | − | 0.934571i | ||||
\(733\) | −19.6340 | + | 38.5339i | −0.725199 | + | 1.42328i | 0.173553 | + | 0.984824i | \(0.444475\pi\) |
−0.898752 | + | 0.438458i | \(0.855525\pi\) | |||||||
\(734\) | −9.83080 | − | 7.14249i | −0.362861 | − | 0.263634i | ||||
\(735\) | 26.4926 | + | 5.34347i | 0.977193 | + | 0.197097i | ||||
\(736\) | 3.99972 | − | 2.90597i | 0.147432 | − | 0.107115i | ||||
\(737\) | 1.75202 | + | 11.0618i | 0.0645364 | + | 0.407467i | ||||
\(738\) | −6.34089 | + | 1.38104i | −0.233411 | + | 0.0508367i | ||||
\(739\) | −7.30628 | − | 10.0562i | −0.268766 | − | 0.369924i | 0.653207 | − | 0.757180i | \(-0.273423\pi\) |
−0.921973 | + | 0.387255i | \(0.873423\pi\) | |||||||
\(740\) | −18.7483 | − | 1.32644i | −0.689203 | − | 0.0487609i | ||||
\(741\) | 27.0717 | − | 5.08763i | 0.994504 | − | 0.186899i | ||||
\(742\) | 1.52233 | + | 0.775666i | 0.0558865 | + | 0.0284756i | ||||
\(743\) | −5.87728 | + | 5.87728i | −0.215616 | + | 0.215616i | −0.806648 | − | 0.591032i | \(-0.798721\pi\) |
0.591032 | + | 0.806648i | \(0.298721\pi\) | |||||||
\(744\) | −12.4476 | − | 5.89897i | −0.456351 | − | 0.216267i | ||||
\(745\) | 34.4151 | − | 2.98254i | 1.26087 | − | 0.109272i | ||||
\(746\) | −24.3715 | − | 7.91878i | −0.892304 | − | 0.289927i | ||||
\(747\) | 15.3007 | + | 26.1975i | 0.559822 | + | 0.958517i | ||||
\(748\) | 11.2968 | + | 1.78924i | 0.413054 | + | 0.0654213i | ||||
\(749\) | −0.0957962 | −0.00350032 | ||||||||
\(750\) | −3.52805 | + | 19.0408i | −0.128826 | + | 0.695272i | ||||
\(751\) | −30.0007 | −1.09474 | −0.547371 | − | 0.836890i | \(-0.684371\pi\) | ||||
−0.547371 | + | 0.836890i | \(0.684371\pi\) | |||||||
\(752\) | 5.29562 | + | 0.838744i | 0.193111 | + | 0.0305858i | ||||
\(753\) | 0.512383 | + | 0.150380i | 0.0186723 | + | 0.00548014i | ||||
\(754\) | −7.12739 | − | 2.31583i | −0.259564 | − | 0.0843376i | ||||
\(755\) | −15.7977 | + | 1.36909i | −0.574939 | + | 0.0498262i | ||||
\(756\) | 0.288891 | − | 0.712545i | 0.0105069 | − | 0.0259150i | ||||
\(757\) | 0.751496 | − | 0.751496i | 0.0273136 | − | 0.0273136i | −0.693318 | − | 0.720632i | \(-0.743852\pi\) |
0.720632 | + | 0.693318i | \(0.243852\pi\) | |||||||
\(758\) | 5.75606 | + | 2.93286i | 0.209069 | + | 0.106526i | ||||
\(759\) | 4.87717 | + | 25.9518i | 0.177030 | + | 0.941992i | ||||
\(760\) | 7.80270 | + | 0.552039i | 0.283034 | + | 0.0200246i | ||||
\(761\) | 26.8487 | + | 36.9541i | 0.973266 | + | 1.33959i | 0.940380 | + | 0.340126i | \(0.110470\pi\) |
0.0328857 | + | 0.999459i | \(0.489530\pi\) | |||||||
\(762\) | 12.7500 | + | 8.71589i | 0.461884 | + | 0.315743i | ||||
\(763\) | −0.00174328 | − | 0.0110066i | −6.31110e−5 | − | 0.000398467i | ||||
\(764\) | 16.8865 | − | 12.2687i | 0.610931 | − | 0.443867i | ||||
\(765\) | −20.3215 | + | 14.3566i | −0.734725 | + | 0.519063i | ||||
\(766\) | −0.221873 | − | 0.161200i | −0.00801659 | − | 0.00582440i | ||||
\(767\) | −26.5848 | + | 52.1757i | −0.959922 | + | 1.88395i | ||||
\(768\) | 1.73134 | − | 0.0496773i | 0.0624743 | − | 0.00179258i | ||||
\(769\) | 40.4186 | − | 13.1328i | 1.45753 | − | 0.473580i | 0.530216 | − | 0.847863i | \(-0.322111\pi\) |
0.927315 | + | 0.374283i | \(0.122111\pi\) | |||||||
\(770\) | 0.993977 | + | 0.230335i | 0.0358204 | + | 0.00830070i | ||||
\(771\) | −10.9831 | + | 5.99899i | −0.395545 | + | 0.216048i | ||||
\(772\) | −3.05255 | − | 5.99097i | −0.109864 | − | 0.215620i | ||||
\(773\) | 7.18830 | − | 45.3851i | 0.258545 | − | 1.63239i | −0.426923 | − | 0.904288i | \(-0.640403\pi\) |
0.685469 | − | 0.728102i | \(-0.259597\pi\) | |||||||
\(774\) | 0.673979 | + | 11.7350i | 0.0242257 | + | 0.421805i | ||||
\(775\) | 18.6105 | + | 35.1400i | 0.668509 | + | 1.26227i | ||||
\(776\) | 9.27062i | 0.332796i | ||||||||
\(777\) | −1.31571 | − | 1.70581i | −0.0472010 | − | 0.0611955i | ||||
\(778\) | −24.3788 | + | 12.4216i | −0.874021 | + | 0.445336i | ||||
\(779\) | 2.33840 | − | 7.19686i | 0.0837819 | − | 0.257854i | ||||
\(780\) | −16.5027 | − | 6.13840i | −0.590891 | − | 0.219790i | ||||
\(781\) | −4.80402 | − | 14.7853i | −0.171901 | − | 0.529058i | ||||
\(782\) | −12.9665 | − | 12.9665i | −0.463681 | − | 0.463681i | ||||
\(783\) | −3.33730 | − | 7.88873i | −0.119265 | − | 0.281920i | ||||
\(784\) | −4.10163 | + | 5.64541i | −0.146487 | + | 0.201622i | ||||
\(785\) | 10.3936 | − | 12.3661i | 0.370965 | − | 0.441364i | ||||
\(786\) | −0.374437 | + | 2.90026i | −0.0133557 | + | 0.103449i | ||||
\(787\) | −21.3780 | + | 3.38594i | −0.762043 | + | 0.120696i | −0.525347 | − | 0.850888i | \(-0.676064\pi\) |
−0.236696 | + | 0.971584i | \(0.576064\pi\) | |||||||
\(788\) | 4.27513 | − | 0.677114i | 0.152295 | − | 0.0241212i | ||||
\(789\) | 1.15875 | − | 8.97526i | 0.0412525 | − | 0.319528i | ||||
\(790\) | −18.6880 | − | 7.56825i | −0.664889 | − | 0.269266i | ||||
\(791\) | 1.48874 | − | 2.04907i | 0.0529335 | − | 0.0728567i | ||||
\(792\) | −3.72037 | + | 8.47005i | −0.132198 | + | 0.300970i | ||||
\(793\) | −46.9482 | − | 46.9482i | −1.66718 | − | 1.66718i | ||||
\(794\) | −0.366520 | − | 1.12803i | −0.0130073 | − | 0.0400323i | ||||
\(795\) | 43.0728 | − | 12.0234i | 1.52763 | − | 0.426426i | ||||
\(796\) | −0.188762 | + | 0.580951i | −0.00669050 | + | 0.0205913i | ||||
\(797\) | 19.8941 | − | 10.1366i | 0.704685 | − | 0.359055i | −0.0646433 | − | 0.997908i | \(-0.520591\pi\) |
0.769328 | + | 0.638853i | \(0.220591\pi\) | |||||||
\(798\) | 0.547575 | + | 0.709924i | 0.0193839 | + | 0.0251310i | ||||
\(799\) | − | 19.8867i | − | 0.703539i | ||||||
\(800\) | −4.09106 | − | 2.87459i | −0.144641 | − | 0.101632i | ||||
\(801\) | −22.7060 | + | 1.30408i | −0.802276 | + | 0.0460773i | ||||
\(802\) | −0.685079 | + | 4.32542i | −0.0241910 | + | 0.152736i | ||||
\(803\) | −15.0636 | − | 29.5639i | −0.531581 | − | 1.04329i | ||||
\(804\) | 5.52078 | − | 3.01547i | 0.194703 | − | 0.106348i | ||||
\(805\) | −1.07218 | − | 1.23545i | −0.0377894 | − | 0.0435437i | ||||
\(806\) | −34.3854 | + | 11.1725i | −1.21117 | + | 0.393534i | ||||
\(807\) | 3.93433 | − | 0.112888i | 0.138495 | − | 0.00397384i | ||||
\(808\) | −1.90255 | + | 3.73397i | −0.0669316 | + | 0.131361i | ||||
\(809\) | −10.1700 | − | 7.38891i | −0.357557 | − | 0.259780i | 0.394476 | − | 0.918906i | \(-0.370926\pi\) |
−0.752032 | + | 0.659126i | \(0.770926\pi\) | |||||||
\(810\) | −7.05675 | − | 18.8468i | −0.247949 | − | 0.662209i | ||||
\(811\) | 20.5014 | − | 14.8951i | 0.719902 | − | 0.523039i | −0.166451 | − | 0.986050i | \(-0.553231\pi\) |
0.886353 | + | 0.463010i | \(0.153231\pi\) | |||||||
\(812\) | −0.0381580 | − | 0.240920i | −0.00133908 | − | 0.00845465i | ||||
\(813\) | 26.9691 | + | 18.4361i | 0.945849 | + | 0.646581i | ||||
\(814\) | 15.2354 | + | 20.9697i | 0.533999 | + | 0.734987i | ||||
\(815\) | −1.15497 | − | 4.64854i | −0.0404568 | − | 0.162831i | ||||
\(816\) | −1.18656 | − | 6.31377i | −0.0415378 | − | 0.221026i | ||||
\(817\) | −12.2124 | − | 6.22253i | −0.427258 | − | 0.217699i | ||||
\(818\) | −22.9288 | + | 22.9288i | −0.801687 | + | 0.801687i | ||||
\(819\) | −0.732660 | − | 1.88043i | −0.0256012 | − | 0.0657075i | ||||
\(820\) | −3.65314 | + | 3.17038i | −0.127573 | + | 0.110714i | ||||
\(821\) | −23.8661 | − | 7.75457i | −0.832933 | − | 0.270636i | −0.138653 | − | 0.990341i | \(-0.544277\pi\) |
−0.694280 | + | 0.719705i | \(0.744277\pi\) | |||||||
\(822\) | −24.3078 | − | 7.13410i | −0.847831 | − | 0.248830i | ||||
\(823\) | −42.8332 | − | 6.78412i | −1.49307 | − | 0.236479i | −0.644110 | − | 0.764933i | \(-0.722772\pi\) |
−0.848962 | + | 0.528454i | \(0.822772\pi\) | |||||||
\(824\) | 17.5015 | 0.609695 | ||||||||
\(825\) | 23.2320 | − | 13.1706i | 0.808834 | − | 0.458543i | ||||
\(826\) | −1.90597 | −0.0663172 | ||||||||
\(827\) | 2.20597 | + | 0.349392i | 0.0767091 | + | 0.0121495i | 0.194671 | − | 0.980869i | \(-0.437636\pi\) |
−0.117962 | + | 0.993018i | \(0.537636\pi\) | |||||||
\(828\) | 12.8074 | − | 7.48016i | 0.445088 | − | 0.259953i | ||||
\(829\) | −8.12669 | − | 2.64052i | −0.282251 | − | 0.0917091i | 0.164470 | − | 0.986382i | \(-0.447409\pi\) |
−0.446722 | + | 0.894673i | \(0.647409\pi\) | |||||||
\(830\) | 19.3735 | + | 11.6624i | 0.672464 | + | 0.404807i | ||||
\(831\) | −25.9341 | − | 12.2903i | −0.899645 | − | 0.426345i | ||||
\(832\) | 3.21465 | − | 3.21465i | 0.111448 | − | 0.111448i | ||||
\(833\) | 23.0613 | + | 11.7503i | 0.799026 | + | 0.407124i | ||||
\(834\) | 30.3531 | − | 5.70430i | 1.05104 | − | 0.197524i | ||||
\(835\) | 3.52195 | − | 8.69662i | 0.121882 | − | 0.300959i | ||||
\(836\) | −6.34067 | − | 8.72718i | −0.219296 | − | 0.301836i | ||||
\(837\) | −35.3957 | − | 21.3263i | −1.22345 | − | 0.737143i | ||||
\(838\) | 4.60705 | + | 29.0878i | 0.159148 | + | 1.00482i | ||||
\(839\) | −0.581684 | + | 0.422618i | −0.0200819 | + | 0.0145904i | −0.597781 | − | 0.801659i | \(-0.703951\pi\) |
0.577699 | + | 0.816250i | \(0.303951\pi\) | |||||||
\(840\) | −0.0658358 | − | 0.569296i | −0.00227155 | − | 0.0196426i | ||||
\(841\) | 21.2631 | + | 15.4485i | 0.733210 | + | 0.532708i | ||||
\(842\) | −2.69362 | + | 5.28652i | −0.0928282 | + | 0.182186i | ||||
\(843\) | 1.24406 | + | 43.3576i | 0.0428477 | + | 1.49331i | ||||
\(844\) | 4.32049 | − | 1.40381i | 0.148718 | − | 0.0483213i | ||||
\(845\) | −15.7884 | + | 6.68653i | −0.543138 | + | 0.230024i | ||||
\(846\) | 15.5575 | + | 4.08518i | 0.534877 | + | 0.140451i | ||||
\(847\) | 0.100148 | + | 0.196551i | 0.00344111 | + | 0.00675357i | ||||
\(848\) | −1.80627 | + | 11.4044i | −0.0620276 | + | 0.391627i | ||||
\(849\) | −33.7471 | − | 31.8645i | −1.15820 | − | 1.09359i | ||||
\(850\) | −8.15704 | + | 16.6551i | −0.279784 | + | 0.571266i | ||||
\(851\) | − | 41.5561i | − | 1.42452i | ||||||
\(852\) | −6.91418 | + | 5.33301i | −0.236876 | + | 0.182706i | ||||
\(853\) | 35.5102 | − | 18.0934i | 1.21585 | − | 0.619505i | 0.276019 | − | 0.961152i | \(-0.410985\pi\) |
0.939828 | + | 0.341647i | \(0.110985\pi\) | |||||||
\(854\) | 0.667799 | − | 2.05527i | 0.0228516 | − | 0.0703300i | ||||
\(855\) | 23.1270 | + | 3.97803i | 0.790926 | + | 0.136046i | ||||
\(856\) | −0.200057 | − | 0.615712i | −0.00683780 | − | 0.0210446i | ||||
\(857\) | 24.3570 | + | 24.3570i | 0.832018 | + | 0.832018i | 0.987793 | − | 0.155774i | \(-0.0497872\pi\) |
−0.155774 | + | 0.987793i | \(0.549787\pi\) | |||||||
\(858\) | 8.16275 | + | 22.8687i | 0.278672 | + | 0.780723i | ||||
\(859\) | 12.1583 | − | 16.7344i | 0.414835 | − | 0.570971i | −0.549555 | − | 0.835458i | \(-0.685203\pi\) |
0.964389 | + | 0.264487i | \(0.0852025\pi\) | |||||||
\(860\) | 4.63662 | + | 7.43368i | 0.158107 | + | 0.253486i | ||||
\(861\) | −0.549846 | − | 0.0709877i | −0.0187387 | − | 0.00241925i | ||||
\(862\) | 17.3948 | − | 2.75506i | 0.592468 | − | 0.0938378i | ||||
\(863\) | 57.0595 | − | 9.03734i | 1.94233 | − | 0.307634i | 0.942668 | − | 0.333731i | \(-0.108308\pi\) |
0.999659 | + | 0.0260968i | \(0.00830780\pi\) | |||||||
\(864\) | 5.18305 | + | 0.368742i | 0.176331 | + | 0.0125449i | ||||
\(865\) | −0.0171534 | + | 0.242451i | −0.000583232 | + | 0.00824358i | ||||
\(866\) | 5.33218 | − | 7.33912i | 0.181195 | − | 0.249393i | ||||
\(867\) | 5.28981 | − | 1.88815i | 0.179651 | − | 0.0641248i | ||||
\(868\) | −0.832112 | − | 0.832112i | −0.0282437 | − | 0.0282437i | ||||
\(869\) | 8.59232 | + | 26.4445i | 0.291475 | + | 0.897067i | ||||
\(870\) | −5.00320 | − | 3.96597i | −0.169624 | − | 0.134459i | ||||
\(871\) | 5.10228 | − | 15.7032i | 0.172884 | − | 0.532083i | ||||
\(872\) | 0.0671024 | − | 0.0341904i | 0.00227237 | − | 0.00115783i | ||||
\(873\) | −2.76851 | + | 27.6737i | −0.0936999 | + | 0.936614i | ||||
\(874\) | 17.2948i | 0.585006i | ||||||||
\(875\) | −0.830702 | + | 1.43069i | −0.0280828 | + | 0.0483661i | ||||
\(876\) | −12.7948 | + | 13.5507i | −0.432295 | + | 0.457835i | ||||
\(877\) | −6.20286 | + | 39.1633i | −0.209456 | + | 1.32245i | 0.628967 | + | 0.777432i | \(0.283478\pi\) |
−0.838423 | + | 0.545020i | \(0.816522\pi\) | |||||||
\(878\) | −13.1166 | − | 25.7429i | −0.442665 | − | 0.868779i | ||||
\(879\) | −2.09622 | − | 3.83779i | −0.0707037 | − | 0.129446i | ||||
\(880\) | 0.595345 | + | 6.86962i | 0.0200691 | + | 0.231575i | ||||
\(881\) | 17.2013 | − | 5.58904i | 0.579526 | − | 0.188299i | −0.00456226 | − | 0.999990i | \(-0.501452\pi\) |
0.584088 | + | 0.811690i | \(0.301452\pi\) | |||||||
\(882\) | −13.9297 | + | 15.6272i | −0.469036 | + | 0.526196i | ||||
\(883\) | −22.3549 | + | 43.8739i | −0.752301 | + | 1.47647i | 0.122746 | + | 0.992438i | \(0.460830\pi\) |
−0.875048 | + | 0.484037i | \(0.839170\pi\) | |||||||
\(884\) | −13.6418 | − | 9.91133i | −0.458823 | − | 0.333354i | ||||
\(885\) | −36.7234 | + | 33.7649i | −1.23444 | + | 1.13500i | ||||
\(886\) | −14.2445 | + | 10.3492i | −0.478552 | + | 0.347689i | ||||
\(887\) | 1.57316 | + | 9.93256i | 0.0528216 | + | 0.333503i | 0.999921 | + | 0.0125625i | \(0.00399886\pi\) |
−0.947099 | + | 0.320940i | \(0.896001\pi\) | |||||||
\(888\) | 8.21606 | − | 12.0188i | 0.275713 | − | 0.403326i | ||||
\(889\) | 0.775544 | + | 1.06745i | 0.0260109 | + | 0.0358010i | ||||
\(890\) | −14.3834 | + | 8.97137i | −0.482132 | + | 0.300721i | ||||
\(891\) | −13.6351 | + | 24.1729i | −0.456793 | + | 0.809823i | ||||
\(892\) | 17.3847 | + | 8.85794i | 0.582082 | + | 0.296586i | ||||
\(893\) | −13.2625 | + | 13.2625i | −0.443813 | + | 0.443813i | ||||
\(894\) | −11.4590 | + | 24.1800i | −0.383246 | + | 0.808699i | ||||
\(895\) | −0.809661 | + | 3.49397i | −0.0270640 | + | 0.116791i | ||||
\(896\) | 0.140729 | + | 0.0457256i | 0.00470143 | + | 0.00152759i | ||||
\(897\) | 10.9631 | − | 37.3542i | 0.366047 | − | 1.24722i | ||||
\(898\) | 12.6921 | + | 2.01023i | 0.423541 | + | 0.0670823i | ||||
\(899\) | −13.1098 | −0.437236 | ||||||||
\(900\) | −11.3538 | − | 9.80265i | −0.378459 | − | 0.326755i | ||||
\(901\) | 42.8268 | 1.42677 | ||||||||
\(902\) | 6.58847 | + | 1.04351i | 0.219372 | + | 0.0347451i | ||||
\(903\) | −0.282791 | + | 0.963546i | −0.00941071 | + | 0.0320648i | ||||
\(904\) | 16.2790 | + | 5.28938i | 0.541433 | + | 0.175922i | ||||
\(905\) | −11.0138 | − | 26.0060i | −0.366111 | − | 0.864470i | ||||
\(906\) | 5.26007 | − | 11.0994i | 0.174754 | − | 0.368754i | ||||
\(907\) | 22.2868 | − | 22.2868i | 0.740021 | − | 0.740021i | −0.232561 | − | 0.972582i | \(-0.574710\pi\) |
0.972582 | + | 0.232561i | \(0.0747104\pi\) | |||||||
\(908\) | 10.7673 | + | 5.48620i | 0.357324 | + | 0.182066i | ||||
\(909\) | −6.79440 | + | 10.5781i | −0.225356 | + | 0.350854i | ||||
\(910\) | −1.15151 | − | 0.967836i | −0.0381720 | − | 0.0320834i | ||||
\(911\) | −3.12524 | − | 4.30152i | −0.103544 | − | 0.142516i | 0.754101 | − | 0.656759i | \(-0.228073\pi\) |
−0.857645 | + | 0.514243i | \(0.828073\pi\) | |||||||
\(912\) | −3.41936 | + | 5.00200i | −0.113226 | + | 0.165633i | ||||
\(913\) | −4.87839 | − | 30.8009i | −0.161451 | − | 1.01936i | ||||
\(914\) | −12.5639 | + | 9.12823i | −0.415578 | + | 0.301935i | ||||
\(915\) | −23.5430 | − | 51.4304i | −0.778308 | − | 1.70024i | ||||
\(916\) | 5.00795 | + | 3.63849i | 0.165467 | + | 0.120219i | ||||
\(917\) | −0.113420 | + | 0.222600i | −0.00374546 | + | 0.00735089i | ||||
\(918\) | −1.65649 | − | 19.2016i | −0.0546723 | − | 0.633746i | ||||
\(919\) | −21.4823 | + | 6.98001i | −0.708635 | + | 0.230249i | −0.641089 | − | 0.767467i | \(-0.721517\pi\) |
−0.0675461 | + | 0.997716i | \(0.521517\pi\) | |||||||
\(920\) | 5.70148 | − | 9.47129i | 0.187972 | − | 0.312259i | ||||
\(921\) | 21.2945 | + | 38.9864i | 0.701678 | + | 1.28464i | ||||
\(922\) | −5.09428 | − | 9.99809i | −0.167771 | − | 0.329270i | ||||
\(923\) | −3.58534 | + | 22.6370i | −0.118013 | + | 0.745105i | ||||
\(924\) | −0.542592 | + | 0.574649i | −0.0178500 | + | 0.0189045i | ||||
\(925\) | −39.7600 | + | 13.6177i | −1.30730 | + | 0.447746i | ||||
\(926\) | − | 1.29066i | − | 0.0424139i | ||||||
\(927\) | 52.2438 | + | 5.22653i | 1.71591 | + | 0.171662i | ||||
\(928\) | 1.46878 | − | 0.748381i | 0.0482151 | − | 0.0245668i | ||||
\(929\) | −14.5401 | + | 44.7499i | −0.477046 | + | 1.46820i | 0.366132 | + | 0.930563i | \(0.380682\pi\) |
−0.843178 | + | 0.537634i | \(0.819318\pi\) | |||||||
\(930\) | −30.7739 | − | 1.29163i | −1.00912 | − | 0.0423542i | ||||
\(931\) | −7.54334 | − | 23.2160i | −0.247223 | − | 0.760874i | ||||
\(932\) | 5.35655 | + | 5.35655i | 0.175460 | + | 0.175460i | ||||
\(933\) | 17.1803 | − | 6.13233i | 0.562456 | − | 0.200763i | ||||
\(934\) | −21.5074 | + | 29.6023i | −0.703743 | + | 0.968618i | ||||
\(935\) | 24.8208 | − | 6.16692i | 0.811725 | − | 0.201680i | ||||
\(936\) | 10.5560 | − | 8.63604i | 0.345035 | − | 0.282278i | ||||
\(937\) | −33.0266 | + | 5.23090i | −1.07893 | + | 0.170886i | −0.670505 | − | 0.741905i | \(-0.733923\pi\) |
−0.408427 | + | 0.912791i | \(0.633923\pi\) | |||||||
\(938\) | 0.530801 | − | 0.0840705i | 0.0173313 | − | 0.00274500i | ||||
\(939\) | 30.4121 | + | 3.92634i | 0.992460 | + | 0.128131i | ||||
\(940\) | 11.6352 | − | 2.89087i | 0.379499 | − | 0.0942897i | ||||
\(941\) | 3.42075 | − | 4.70826i | 0.111513 | − | 0.153485i | −0.749612 | − | 0.661877i | \(-0.769760\pi\) |
0.861126 | + | 0.508392i | \(0.169760\pi\) | |||||||
\(942\) | 4.20637 | + | 11.7845i | 0.137051 | + | 0.383960i | ||||
\(943\) | −7.56223 | − | 7.56223i | −0.246260 | − | 0.246260i | ||||
\(944\) | −3.98035 | − | 12.2503i | −0.129549 | − | 0.398712i | ||||
\(945\) | −0.0265159 | − | 1.71907i | −0.000862561 | − | 0.0559212i | ||||
\(946\) | 3.73363 | − | 11.4909i | 0.121391 | − | 0.373602i | ||||
\(947\) | −15.0412 | + | 7.66387i | −0.488773 | + | 0.249042i | −0.680966 | − | 0.732315i | \(-0.738440\pi\) |
0.192193 | + | 0.981357i | \(0.438440\pi\) | |||||||
\(948\) | 12.3665 | − | 9.53845i | 0.401645 | − | 0.309795i | ||||
\(949\) | 48.9166i | 1.58790i | ||||||||
\(950\) | 16.5473 | − | 5.66741i | 0.536867 | − | 0.183875i | ||||
\(951\) | −6.41377 | − | 6.05598i | −0.207981 | − | 0.196379i | ||||
\(952\) | 0.0858568 | − | 0.542079i | 0.00278264 | − | 0.0175689i | ||||
\(953\) | −8.09351 | − | 15.8844i | −0.262175 | − | 0.514547i | 0.721968 | − | 0.691927i | \(-0.243238\pi\) |
−0.984142 | + | 0.177380i | \(0.943238\pi\) | |||||||
\(954\) | −8.79761 | + | 33.5037i | −0.284833 | + | 1.08472i | ||||
\(955\) | 24.0711 | − | 39.9869i | 0.778924 | − | 1.29395i | ||||
\(956\) | −16.0554 | + | 5.21673i | −0.519270 | + | 0.168721i | ||||
\(957\) | 0.252526 | + | 8.80096i | 0.00816301 | + | 0.284495i | ||||
\(958\) | 12.6238 | − | 24.7755i | 0.407855 | − | 0.800460i | ||||
\(959\) | −1.75090 | − | 1.27210i | −0.0565396 | − | 0.0410784i | ||||
\(960\) | 3.52155 | − | 1.61204i | 0.113658 | − | 0.0520284i | ||||
\(961\) | −26.0882 | + | 18.9542i | −0.841556 | + | 0.611426i | ||||
\(962\) | −5.97782 | − | 37.7425i | −0.192733 | − | 1.21687i | ||||
\(963\) | −0.413318 | − | 1.89770i | −0.0133190 | − | 0.0611527i | ||||
\(964\) | −5.78866 | − | 7.96740i | −0.186440 | − | 0.256613i | ||||
\(965\) | −11.5095 | − | 9.67368i | −0.370504 | − | 0.311407i | ||||
\(966\) | 1.24530 | − | 0.234031i | 0.0400668 | − | 0.00752982i | ||||
\(967\) | −35.9477 | − | 18.3163i | −1.15600 | − | 0.589011i | −0.232495 | − | 0.972598i | \(-0.574689\pi\) |
−0.923505 | + | 0.383586i | \(0.874689\pi\) | |||||||
\(968\) | −1.05415 | + | 1.05415i | −0.0338816 | + | 0.0338816i | ||||
\(969\) | 20.3084 | + | 9.62422i | 0.652399 | + | 0.309175i | ||||
\(970\) | 8.08412 | + | 19.0884i | 0.259566 | + | 0.612893i | ||||
\(971\) | −25.6210 | − | 8.32477i | −0.822217 | − | 0.267155i | −0.132454 | − | 0.991189i | \(-0.542286\pi\) |
−0.689764 | + | 0.724035i | \(0.742286\pi\) | |||||||
\(972\) | 15.3618 | + | 2.64856i | 0.492730 | + | 0.0849526i | ||||
\(973\) | 2.60601 | + | 0.412752i | 0.0835449 | + | 0.0132322i | ||||
\(974\) | −9.57080 | −0.306668 | ||||||||
\(975\) | −39.3322 | + | 1.75147i | −1.25964 | + | 0.0560918i | ||||
\(976\) | 14.6045 | 0.467478 | ||||||||
\(977\) | −11.3526 | − | 1.79808i | −0.363202 | − | 0.0575256i | −0.0278335 | − | 0.999613i | \(-0.508861\pi\) |
−0.335369 | + | 0.942087i | \(0.608861\pi\) | |||||||
\(978\) | 3.56006 | + | 1.04484i | 0.113838 | + | 0.0334104i | ||||
\(979\) | 22.2337 | + | 7.22418i | 0.710593 | + | 0.230886i | ||||
\(980\) | −3.52248 | + | 15.2007i | −0.112521 | + | 0.485569i | ||||
\(981\) | 0.210518 | − | 0.0820227i | 0.00672131 | − | 0.00261878i | ||||
\(982\) | −7.38969 | + | 7.38969i | −0.235814 | + | 0.235814i | ||||
\(983\) | 28.5844 | + | 14.5645i | 0.911702 | + | 0.464535i | 0.845927 | − | 0.533299i | \(-0.179048\pi\) |
0.0657754 | + | 0.997834i | \(0.479048\pi\) | |||||||
\(984\) | −0.692016 | − | 3.68228i | −0.0220607 | − | 0.117387i | ||||
\(985\) | 8.21215 | − | 5.12217i | 0.261661 | − | 0.163206i | ||||
\(986\) | −3.59385 | − | 4.94651i | −0.114451 | − | 0.157529i | ||||
\(987\) | 1.13442 | + | 0.775489i | 0.0361090 | + | 0.0246841i | ||||
\(988\) | 2.48785 | + | 15.7077i | 0.0791491 | + | 0.499728i | ||||
\(989\) | −15.6713 | + | 11.3859i | −0.498320 | + | 0.362051i | ||||
\(990\) | −0.274327 | + | 20.6843i | −0.00871868 | + | 0.657389i | ||||
\(991\) | 12.7382 | + | 9.25484i | 0.404642 | + | 0.293990i | 0.771429 | − | 0.636315i | \(-0.219542\pi\) |
−0.366787 | + | 0.930305i | \(0.619542\pi\) | |||||||
\(992\) | 3.61049 | − | 7.08598i | 0.114633 | − | 0.224980i | ||||
\(993\) | −25.4371 | + | 0.729868i | −0.807223 | + | 0.0231617i | ||||
\(994\) | −0.709470 | + | 0.230521i | −0.0225030 | + | 0.00731167i | ||||
\(995\) | 0.117931 | + | 1.36080i | 0.00373868 | + | 0.0431402i | ||||
\(996\) | −15.3723 | + | 8.39640i | −0.487089 | + | 0.266050i | ||||
\(997\) | −4.15513 | − | 8.15491i | −0.131594 | − | 0.258269i | 0.815802 | − | 0.578331i | \(-0.196296\pi\) |
−0.947396 | + | 0.320063i | \(0.896296\pi\) | |||||||
\(998\) | −2.34837 | + | 14.8270i | −0.0743363 | + | 0.469341i | ||||
\(999\) | 28.1150 | − | 33.4238i | 0.889518 | − | 1.05748i |
(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 | 150.2.l.a.23.3 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.23.10 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.c.407.6 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.407.5 | 80 | |||
5.4 | even | 2 | 750.2.l.b.593.8 | 80 | |||
15.2 | even | 4 | 750.2.l.c.407.3 | 80 | |||
15.8 | even | 4 | 750.2.l.a.407.8 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.593.1 | 80 | |||
25.9 | even | 10 | 750.2.l.a.293.8 | 80 | |||
25.12 | odd | 20 | inner | 150.2.l.a.137.10 | yes | 80 | |
25.13 | odd | 20 | 750.2.l.b.707.1 | 80 | |||
25.16 | even | 5 | 750.2.l.c.293.3 | 80 | |||
75.38 | even | 20 | 750.2.l.b.707.8 | 80 | |||
75.41 | odd | 10 | 750.2.l.c.293.6 | 80 | |||
75.59 | odd | 10 | 750.2.l.a.293.5 | 80 | |||
75.62 | even | 20 | inner | 150.2.l.a.137.3 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.23.3 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.23.10 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.137.3 | yes | 80 | 75.62 | even | 20 | inner | |
150.2.l.a.137.10 | yes | 80 | 25.12 | odd | 20 | inner | |
750.2.l.a.293.5 | 80 | 75.59 | odd | 10 | |||
750.2.l.a.293.8 | 80 | 25.9 | even | 10 | |||
750.2.l.a.407.5 | 80 | 5.3 | odd | 4 | |||
750.2.l.a.407.8 | 80 | 15.8 | even | 4 | |||
750.2.l.b.593.1 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.593.8 | 80 | 5.4 | even | 2 | |||
750.2.l.b.707.1 | 80 | 25.13 | odd | 20 | |||
750.2.l.b.707.8 | 80 | 75.38 | even | 20 | |||
750.2.l.c.293.3 | 80 | 25.16 | even | 5 | |||
750.2.l.c.293.6 | 80 | 75.41 | odd | 10 | |||
750.2.l.c.407.3 | 80 | 15.2 | even | 4 | |||
750.2.l.c.407.6 | 80 | 5.2 | odd | 4 |