Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.7 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.990880 | + | 1.00904i | −0.700658 | + | 0.713497i | ||||
\(3\) | −0.800065 | + | 1.53620i | −0.461918 | + | 0.886923i | ||||
\(4\) | −0.0363133 | − | 1.99967i | −0.0181566 | − | 0.999835i | ||||
\(5\) | 3.73424 | + | 1.00059i | 1.67000 | + | 0.447476i | 0.965111 | − | 0.261839i | \(-0.0843291\pi\) |
0.704891 | + | 0.709315i | \(0.250996\pi\) | |||||||
\(6\) | −0.757311 | − | 2.32948i | −0.309171 | − | 0.951007i | ||||
\(7\) | −1.68236 | + | 2.91393i | −0.635872 | + | 1.10136i | 0.350457 | + | 0.936579i | \(0.386026\pi\) |
−0.986330 | + | 0.164785i | \(0.947307\pi\) | |||||||
\(8\) | 2.05372 | + | 1.94479i | 0.726101 | + | 0.687588i | ||||
\(9\) | −1.71979 | − | 2.45811i | −0.573264 | − | 0.819371i | ||||
\(10\) | −4.70981 | + | 2.77653i | −1.48937 | + | 0.878015i | ||||
\(11\) | 0.211428 | − | 0.0566521i | 0.0637480 | − | 0.0170812i | −0.226804 | − | 0.973940i | \(-0.572828\pi\) |
0.290552 | + | 0.956859i | \(0.406161\pi\) | |||||||
\(12\) | 3.10094 | + | 1.54408i | 0.895164 | + | 0.445738i | ||||
\(13\) | −2.71526 | − | 0.727551i | −0.753076 | − | 0.201786i | −0.138194 | − | 0.990405i | \(-0.544130\pi\) |
−0.614882 | + | 0.788619i | \(0.710796\pi\) | |||||||
\(14\) | −1.27325 | − | 4.58492i | −0.340291 | − | 1.22537i | ||||
\(15\) | −4.52473 | + | 4.93599i | −1.16828 | + | 1.27447i | ||||
\(16\) | −3.99736 | + | 0.145229i | −0.999341 | + | 0.0363073i | ||||
\(17\) | 4.23937i | 1.02820i | 0.857731 | + | 0.514100i | \(0.171874\pi\) | ||||
−0.857731 | + | 0.514100i | \(0.828126\pi\) | |||||||
\(18\) | 4.18444 | + | 0.700358i | 0.986281 | + | 0.165076i | ||||
\(19\) | −1.12365 | − | 1.12365i | −0.257782 | − | 0.257782i | 0.566369 | − | 0.824152i | \(-0.308348\pi\) |
−0.824152 | + | 0.566369i | \(0.808348\pi\) | |||||||
\(20\) | 1.86524 | − | 7.50358i | 0.417081 | − | 1.67785i | ||||
\(21\) | −3.13037 | − | 4.91577i | −0.683104 | − | 1.07271i | ||||
\(22\) | −0.152336 | + | 0.269474i | −0.0324782 | + | 0.0574522i | ||||
\(23\) | 3.33369 | − | 1.92471i | 0.695123 | − | 0.401329i | −0.110405 | − | 0.993887i | \(-0.535215\pi\) |
0.805528 | + | 0.592557i | \(0.201882\pi\) | |||||||
\(24\) | −4.63069 | + | 1.59896i | −0.945236 | + | 0.326387i | ||||
\(25\) | 8.61325 | + | 4.97286i | 1.72265 | + | 0.994572i | ||||
\(26\) | 3.42462 | − | 2.01888i | 0.671623 | − | 0.395935i | ||||
\(27\) | 5.15209 | − | 0.675290i | 0.991519 | − | 0.129960i | ||||
\(28\) | 5.88800 | + | 3.25835i | 1.11273 | + | 0.615771i | ||||
\(29\) | 2.03634 | − | 0.545635i | 0.378138 | − | 0.101322i | −0.0647434 | − | 0.997902i | \(-0.520623\pi\) |
0.442882 | + | 0.896580i | \(0.353956\pi\) | |||||||
\(30\) | −0.497132 | − | 9.45659i | −0.0907635 | − | 1.72653i | ||||
\(31\) | 7.21206 | − | 4.16388i | 1.29532 | − | 0.747856i | 0.315731 | − | 0.948849i | \(-0.397750\pi\) |
0.979593 | + | 0.200993i | \(0.0644169\pi\) | |||||||
\(32\) | 3.81437 | − | 4.17739i | 0.674291 | − | 0.738466i | ||||
\(33\) | −0.0821277 | + | 0.370121i | −0.0142966 | + | 0.0644297i | ||||
\(34\) | −4.27769 | − | 4.20071i | −0.733617 | − | 0.720416i | ||||
\(35\) | −9.19798 | + | 9.19798i | −1.55474 | + | 1.55474i | ||||
\(36\) | −4.85296 | + | 3.52828i | −0.808827 | + | 0.588047i | ||||
\(37\) | −2.66564 | − | 2.66564i | −0.438229 | − | 0.438229i | 0.453187 | − | 0.891416i | \(-0.350287\pi\) |
−0.891416 | + | 0.453187i | \(0.850287\pi\) | |||||||
\(38\) | 2.24720 | − | 0.0204025i | 0.364544 | − | 0.00330972i | ||||
\(39\) | 3.29004 | − | 3.58908i | 0.526828 | − | 0.574712i | ||||
\(40\) | 5.72317 | + | 9.31725i | 0.904912 | + | 1.47319i | ||||
\(41\) | 1.70386 | + | 2.95117i | 0.266098 | + | 0.460895i | 0.967851 | − | 0.251526i | \(-0.0809323\pi\) |
−0.701753 | + | 0.712420i | \(0.747599\pi\) | |||||||
\(42\) | 8.06202 | + | 1.71227i | 1.24400 | + | 0.264209i | ||||
\(43\) | −1.25664 | − | 4.68985i | −0.191636 | − | 0.715195i | −0.993112 | − | 0.117168i | \(-0.962618\pi\) |
0.801476 | − | 0.598027i | \(-0.204048\pi\) | |||||||
\(44\) | −0.120963 | − | 0.420730i | −0.0182359 | − | 0.0634274i | ||||
\(45\) | −3.96257 | − | 10.9000i | −0.590704 | − | 1.62487i | ||||
\(46\) | −1.36119 | + | 5.27098i | −0.200696 | + | 0.777163i | ||||
\(47\) | −2.34998 | + | 4.07028i | −0.342779 | + | 0.593711i | −0.984948 | − | 0.172852i | \(-0.944702\pi\) |
0.642168 | + | 0.766564i | \(0.278035\pi\) | |||||||
\(48\) | 2.97505 | − | 6.25692i | 0.429411 | − | 0.903109i | ||||
\(49\) | −2.16067 | − | 3.74239i | −0.308667 | − | 0.534628i | ||||
\(50\) | −13.5525 | + | 3.76358i | −1.91661 | + | 0.532251i | ||||
\(51\) | −6.51251 | − | 3.39177i | −0.911933 | − | 0.474943i | ||||
\(52\) | −1.35626 | + | 5.45604i | −0.188080 | + | 0.756616i | ||||
\(53\) | 7.58271 | − | 7.58271i | 1.04157 | − | 1.04157i | 0.0424680 | − | 0.999098i | \(-0.486478\pi\) |
0.999098 | − | 0.0424680i | \(-0.0135220\pi\) | |||||||
\(54\) | −4.42371 | + | 5.86778i | −0.601990 | + | 0.798503i | ||||
\(55\) | 0.846209 | 0.114103 | ||||||||
\(56\) | −9.12210 | + | 2.71258i | −1.21899 | + | 0.362483i | ||||
\(57\) | 2.62513 | − | 0.827151i | 0.347707 | − | 0.109559i | ||||
\(58\) | −1.46720 | + | 2.59540i | −0.192653 | + | 0.340793i | ||||
\(59\) | −1.43167 | + | 5.34305i | −0.186387 | + | 0.695605i | 0.807942 | + | 0.589261i | \(0.200581\pi\) |
−0.994329 | + | 0.106344i | \(0.966085\pi\) | |||||||
\(60\) | 10.0347 | + | 8.86873i | 1.29547 | + | 1.14495i | ||||
\(61\) | −2.33105 | − | 8.69958i | −0.298460 | − | 1.11387i | −0.938431 | − | 0.345468i | \(-0.887720\pi\) |
0.639971 | − | 0.768399i | \(-0.278946\pi\) | |||||||
\(62\) | −2.94477 | + | 11.4031i | −0.373986 | + | 1.44820i | ||||
\(63\) | 10.0561 | − | 0.875933i | 1.26695 | − | 0.110357i | ||||
\(64\) | 0.435568 | + | 7.98813i | 0.0544460 | + | 0.998517i | ||||
\(65\) | −9.41144 | − | 5.43370i | −1.16735 | − | 0.673967i | ||||
\(66\) | −0.292087 | − | 0.449615i | −0.0359534 | − | 0.0553438i | ||||
\(67\) | 1.38665 | − | 5.17504i | 0.169406 | − | 0.632231i | −0.828031 | − | 0.560682i | \(-0.810539\pi\) |
0.997437 | − | 0.0715493i | \(-0.0227943\pi\) | |||||||
\(68\) | 8.47735 | − | 0.153945i | 1.02803 | − | 0.0186686i | ||||
\(69\) | 0.289558 | + | 6.66110i | 0.0348587 | + | 0.801902i | ||||
\(70\) | −0.167011 | − | 18.3952i | −0.0199617 | − | 2.19865i | ||||
\(71\) | − | 7.53614i | − | 0.894375i | −0.894440 | − | 0.447187i | \(-0.852426\pi\) | ||
0.894440 | − | 0.447187i | \(-0.147574\pi\) | |||||||
\(72\) | 1.24854 | − | 8.39292i | 0.147141 | − | 0.989115i | ||||
\(73\) | 3.22646i | 0.377629i | 0.982013 | + | 0.188814i | \(0.0604644\pi\) | ||||
−0.982013 | + | 0.188814i | \(0.939536\pi\) | |||||||
\(74\) | 5.33107 | − | 0.0484011i | 0.619724 | − | 0.00562651i | ||||
\(75\) | −14.5304 | + | 9.25302i | −1.67783 | + | 1.06845i | ||||
\(76\) | −2.20612 | + | 2.28773i | −0.253059 | + | 0.262420i | ||||
\(77\) | −0.190618 | + | 0.711397i | −0.0217230 | + | 0.0810712i | ||||
\(78\) | 0.361477 | + | 6.87612i | 0.0409292 | + | 0.778567i | ||||
\(79\) | 4.98587 | + | 2.87859i | 0.560954 | + | 0.323867i | 0.753528 | − | 0.657415i | \(-0.228350\pi\) |
−0.192574 | + | 0.981282i | \(0.561684\pi\) | |||||||
\(80\) | −15.0724 | − | 3.45739i | −1.68515 | − | 0.386548i | ||||
\(81\) | −3.08462 | + | 8.45489i | −0.342736 | + | 0.939432i | ||||
\(82\) | −4.66616 | − | 1.20500i | −0.515291 | − | 0.133070i | ||||
\(83\) | 1.20739 | + | 4.50604i | 0.132528 | + | 0.494602i | 0.999996 | − | 0.00289160i | \(-0.000920425\pi\) |
−0.867468 | + | 0.497494i | \(0.834254\pi\) | |||||||
\(84\) | −9.71624 | + | 6.43822i | −1.06013 | + | 0.702468i | ||||
\(85\) | −4.24186 | + | 15.8308i | −0.460094 | + | 1.71710i | ||||
\(86\) | 5.97741 | + | 3.37908i | 0.644561 | + | 0.364376i | ||||
\(87\) | −0.790999 | + | 3.56475i | −0.0848040 | + | 0.382182i | ||||
\(88\) | 0.544392 | + | 0.294836i | 0.0580324 | + | 0.0314297i | ||||
\(89\) | 2.96157 | 0.313926 | 0.156963 | − | 0.987605i | \(-0.449830\pi\) | ||||
0.156963 | + | 0.987605i | \(0.449830\pi\) | |||||||
\(90\) | 14.9249 | + | 6.80220i | 1.57322 | + | 0.717014i | ||||
\(91\) | 6.68807 | − | 6.68807i | 0.701100 | − | 0.701100i | ||||
\(92\) | −3.96984 | − | 6.59639i | −0.413884 | − | 0.687722i | ||||
\(93\) | 0.626426 | + | 14.4105i | 0.0649573 | + | 1.49430i | ||||
\(94\) | −1.77852 | − | 6.40437i | −0.183440 | − | 0.660561i | ||||
\(95\) | −3.07166 | − | 5.32027i | −0.315146 | − | 0.545849i | ||||
\(96\) | 3.36555 | + | 9.20180i | 0.343495 | + | 0.939154i | ||||
\(97\) | −7.63883 | + | 13.2308i | −0.775606 | + | 1.34339i | 0.158848 | + | 0.987303i | \(0.449222\pi\) |
−0.934453 | + | 0.356085i | \(0.884111\pi\) | |||||||
\(98\) | 5.91718 | + | 1.52806i | 0.597726 | + | 0.154358i | ||||
\(99\) | −0.502870 | − | 0.422285i | −0.0505403 | − | 0.0424412i | ||||
\(100\) | 9.63131 | − | 17.4042i | 0.963131 | − | 1.74042i | ||||
\(101\) | 0.0347486 | + | 0.129684i | 0.00345762 | + | 0.0129040i | 0.967633 | − | 0.252361i | \(-0.0812071\pi\) |
−0.964175 | + | 0.265265i | \(0.914540\pi\) | |||||||
\(102\) | 9.87554 | − | 3.21052i | 0.977824 | − | 0.317889i | ||||
\(103\) | −4.09117 | − | 7.08611i | −0.403115 | − | 0.698215i | 0.590985 | − | 0.806682i | \(-0.298739\pi\) |
−0.994100 | + | 0.108467i | \(0.965406\pi\) | |||||||
\(104\) | −4.16145 | − | 6.77480i | −0.408064 | − | 0.664323i | ||||
\(105\) | −6.77091 | − | 21.4889i | −0.660774 | − | 2.09710i | ||||
\(106\) | 0.137682 | + | 15.1648i | 0.0133729 | + | 1.47294i | ||||
\(107\) | −8.28837 | − | 8.28837i | −0.801267 | − | 0.801267i | 0.182027 | − | 0.983294i | \(-0.441734\pi\) |
−0.983294 | + | 0.182027i | \(0.941734\pi\) | |||||||
\(108\) | −1.53745 | − | 10.2780i | −0.147941 | − | 0.988996i | ||||
\(109\) | 6.31291 | − | 6.31291i | 0.604667 | − | 0.604667i | −0.336881 | − | 0.941547i | \(-0.609372\pi\) |
0.941547 | + | 0.336881i | \(0.109372\pi\) | |||||||
\(110\) | −0.838492 | + | 0.853857i | −0.0799471 | + | 0.0814121i | ||||
\(111\) | 6.22764 | − | 1.96226i | 0.591101 | − | 0.186250i | ||||
\(112\) | 6.30182 | − | 11.8924i | 0.595466 | − | 1.12372i | ||||
\(113\) | 14.6562 | − | 8.46178i | 1.37874 | − | 0.796017i | 0.386735 | − | 0.922191i | \(-0.373603\pi\) |
0.992008 | + | 0.126174i | \(0.0402696\pi\) | |||||||
\(114\) | −1.76656 | + | 3.46846i | −0.165454 | + | 0.324851i | ||||
\(115\) | 14.3746 | − | 3.85167i | 1.34044 | − | 0.359171i | ||||
\(116\) | −1.16504 | − | 4.05219i | −0.108171 | − | 0.376236i | ||||
\(117\) | 2.88128 | + | 7.92564i | 0.266374 | + | 0.732725i | ||||
\(118\) | −3.97273 | − | 6.73892i | −0.365719 | − | 0.620368i | ||||
\(119\) | −12.3533 | − | 7.13215i | −1.13242 | − | 0.653803i | ||||
\(120\) | −18.8920 | + | 1.33750i | −1.72460 | + | 0.122097i | ||||
\(121\) | −9.48479 | + | 5.47604i | −0.862253 | + | 0.497822i | ||||
\(122\) | 11.0880 | + | 6.26813i | 1.00386 | + | 0.567490i | ||||
\(123\) | −5.89676 | + | 0.256333i | −0.531693 | + | 0.0231128i | ||||
\(124\) | −8.58829 | − | 14.2705i | −0.771251 | − | 1.28153i | ||||
\(125\) | 13.5199 | + | 13.5199i | 1.20926 | + | 1.20926i | ||||
\(126\) | −9.08052 | + | 11.0149i | −0.808957 | + | 0.981286i | ||||
\(127\) | − | 13.4028i | − | 1.18931i | −0.803981 | − | 0.594654i | \(-0.797289\pi\) | ||
0.803981 | − | 0.594654i | \(-0.202711\pi\) | |||||||
\(128\) | −8.49192 | − | 7.47578i | −0.750587 | − | 0.660772i | ||||
\(129\) | 8.20992 | + | 1.82174i | 0.722843 | + | 0.160395i | ||||
\(130\) | 14.8084 | − | 4.11235i | 1.29878 | − | 0.360677i | ||||
\(131\) | 0.632708 | + | 0.169534i | 0.0552800 | + | 0.0148122i | 0.286353 | − | 0.958124i | \(-0.407557\pi\) |
−0.231073 | + | 0.972936i | \(0.574224\pi\) | |||||||
\(132\) | 0.743101 | + | 0.150788i | 0.0646787 | + | 0.0131244i | ||||
\(133\) | 5.16461 | − | 1.38385i | 0.447829 | − | 0.119995i | ||||
\(134\) | 3.84781 | + | 6.52702i | 0.332400 | + | 0.563849i | ||||
\(135\) | 19.9148 | + | 2.63341i | 1.71399 | + | 0.226648i | ||||
\(136\) | −8.24470 | + | 8.70650i | −0.706977 | + | 0.746577i | ||||
\(137\) | −10.5230 | + | 18.2263i | −0.899037 | + | 1.55718i | −0.0703095 | + | 0.997525i | \(0.522399\pi\) |
−0.828727 | + | 0.559652i | \(0.810935\pi\) | |||||||
\(138\) | −7.00821 | − | 6.30817i | −0.596579 | − | 0.536987i | ||||
\(139\) | 6.44400 | + | 1.72666i | 0.546573 | + | 0.146454i | 0.521530 | − | 0.853233i | \(-0.325361\pi\) |
0.0250423 | + | 0.999686i | \(0.492028\pi\) | |||||||
\(140\) | 18.7269 | + | 18.0589i | 1.58271 | + | 1.52626i | ||||
\(141\) | −4.37261 | − | 6.86651i | −0.368240 | − | 0.578264i | ||||
\(142\) | 7.60424 | + | 7.46741i | 0.638134 | + | 0.626651i | ||||
\(143\) | −0.615299 | −0.0514539 | ||||||||
\(144\) | 7.23163 | + | 9.57620i | 0.602635 | + | 0.798017i | ||||
\(145\) | 8.15012 | 0.676831 | ||||||||
\(146\) | −3.25562 | − | 3.19703i | −0.269437 | − | 0.264588i | ||||
\(147\) | 7.47772 | − | 0.325057i | 0.616752 | − | 0.0268103i | ||||
\(148\) | −5.23361 | + | 5.42721i | −0.430200 | + | 0.446114i | ||||
\(149\) | −21.5773 | − | 5.78161i | −1.76768 | − | 0.473648i | −0.779428 | − | 0.626492i | \(-0.784490\pi\) |
−0.988250 | + | 0.152844i | \(0.951157\pi\) | |||||||
\(150\) | 5.06128 | − | 23.8304i | 0.413252 | − | 1.94574i | ||||
\(151\) | −9.97506 | + | 17.2773i | −0.811759 | + | 1.40601i | 0.0998734 | + | 0.995000i | \(0.468156\pi\) |
−0.911632 | + | 0.411007i | \(0.865177\pi\) | |||||||
\(152\) | −0.122401 | − | 4.49292i | −0.00992807 | − | 0.364424i | ||||
\(153\) | 10.4209 | − | 7.29084i | 0.842476 | − | 0.589430i | ||||
\(154\) | −0.528947 | − | 0.897250i | −0.0426237 | − | 0.0723025i | ||||
\(155\) | 31.0979 | − | 8.33265i | 2.49784 | − | 0.669295i | ||||
\(156\) | −7.29644 | − | 6.44866i | −0.584183 | − | 0.516306i | ||||
\(157\) | −14.3943 | − | 3.85693i | −1.14879 | − | 0.307817i | −0.366308 | − | 0.930494i | \(-0.619378\pi\) |
−0.782479 | + | 0.622677i | \(0.786045\pi\) | |||||||
\(158\) | −7.84501 | + | 2.17859i | −0.624115 | + | 0.173319i | ||||
\(159\) | 5.58187 | + | 17.7152i | 0.442671 | + | 1.40491i | ||||
\(160\) | 18.4236 | − | 11.7828i | 1.45651 | − | 0.931511i | ||||
\(161\) | 12.9522i | 1.02078i | ||||||||
\(162\) | −5.47480 | − | 11.4903i | −0.430141 | − | 0.902762i | ||||
\(163\) | −4.35766 | − | 4.35766i | −0.341318 | − | 0.341318i | 0.515545 | − | 0.856863i | \(-0.327590\pi\) |
−0.856863 | + | 0.515545i | \(0.827590\pi\) | |||||||
\(164\) | 5.83949 | − | 3.51432i | 0.455987 | − | 0.274422i | ||||
\(165\) | −0.677022 | + | 1.29994i | −0.0527061 | + | 0.101200i | ||||
\(166\) | −5.74314 | − | 3.24664i | −0.445754 | − | 0.251988i | ||||
\(167\) | −11.8952 | + | 6.86770i | −0.920479 | + | 0.531439i | −0.883788 | − | 0.467888i | \(-0.845015\pi\) |
−0.0366910 | + | 0.999327i | \(0.511682\pi\) | |||||||
\(168\) | 3.13122 | − | 16.1836i | 0.241579 | − | 1.24859i | ||||
\(169\) | −4.41505 | − | 2.54903i | −0.339619 | − | 0.196079i | ||||
\(170\) | −11.7707 | − | 19.9667i | −0.902774 | − | 1.53137i | ||||
\(171\) | −0.829610 | + | 4.69449i | −0.0634418 | + | 0.358997i | ||||
\(172\) | −9.33252 | + | 2.68317i | −0.711598 | + | 0.204590i | ||||
\(173\) | 5.24342 | − | 1.40497i | 0.398650 | − | 0.106818i | −0.0539235 | − | 0.998545i | \(-0.517173\pi\) |
0.452573 | + | 0.891727i | \(0.350506\pi\) | |||||||
\(174\) | −2.81319 | − | 4.33039i | −0.213267 | − | 0.328286i | ||||
\(175\) | −28.9812 | + | 16.7323i | −2.19077 | + | 1.26484i | ||||
\(176\) | −0.836928 | + | 0.257164i | −0.0630858 | + | 0.0193845i | ||||
\(177\) | −7.06254 | − | 6.47410i | −0.530853 | − | 0.486623i | ||||
\(178\) | −2.93456 | + | 2.98833i | −0.219954 | + | 0.223985i | ||||
\(179\) | −0.380130 | + | 0.380130i | −0.0284123 | + | 0.0284123i | −0.721170 | − | 0.692758i | \(-0.756395\pi\) |
0.692758 | + | 0.721170i | \(0.256395\pi\) | |||||||
\(180\) | −21.6525 | + | 8.31964i | −1.61388 | + | 0.620109i | ||||
\(181\) | −4.98992 | − | 4.98992i | −0.370898 | − | 0.370898i | 0.496906 | − | 0.867804i | \(-0.334469\pi\) |
−0.867804 | + | 0.496906i | \(0.834469\pi\) | |||||||
\(182\) | 0.121438 | + | 13.3756i | 0.00900157 | + | 0.991465i | ||||
\(183\) | 15.2292 | + | 3.37929i | 1.12578 | + | 0.249804i | ||||
\(184\) | 10.5896 | + | 2.53052i | 0.780679 | + | 0.186552i | ||||
\(185\) | −7.28695 | − | 12.6214i | −0.535747 | − | 0.927941i | ||||
\(186\) | −15.1615 | − | 13.6470i | −1.11169 | − | 1.00065i | ||||
\(187\) | 0.240169 | + | 0.896324i | 0.0175629 | + | 0.0655457i | ||||
\(188\) | 8.22455 | + | 4.55137i | 0.599837 | + | 0.331943i | ||||
\(189\) | −6.69991 | + | 16.1489i | −0.487347 | + | 1.17466i | ||||
\(190\) | 8.41200 | + | 2.17233i | 0.610271 | + | 0.157598i | ||||
\(191\) | 5.40555 | − | 9.36269i | 0.391132 | − | 0.677461i | −0.601467 | − | 0.798898i | \(-0.705417\pi\) |
0.992599 | + | 0.121437i | \(0.0387502\pi\) | |||||||
\(192\) | −12.6198 | − | 5.72191i | −0.910757 | − | 0.412943i | ||||
\(193\) | 2.60044 | + | 4.50410i | 0.187184 | + | 0.324212i | 0.944310 | − | 0.329056i | \(-0.106731\pi\) |
−0.757126 | + | 0.653268i | \(0.773397\pi\) | |||||||
\(194\) | −5.78125 | − | 20.8180i | −0.415070 | − | 1.49465i | ||||
\(195\) | 15.8770 | − | 10.1105i | 1.13697 | − | 0.724028i | ||||
\(196\) | −7.40509 | + | 4.45653i | −0.528935 | + | 0.318323i | ||||
\(197\) | 2.94550 | − | 2.94550i | 0.209858 | − | 0.209858i | −0.594349 | − | 0.804207i | \(-0.702590\pi\) |
0.804207 | + | 0.594349i | \(0.202590\pi\) | |||||||
\(198\) | 0.924385 | − | 0.0889812i | 0.0656932 | − | 0.00632362i | ||||
\(199\) | 2.57285 | 0.182384 | 0.0911921 | − | 0.995833i | \(-0.470932\pi\) | ||||
0.0911921 | + | 0.995833i | \(0.470932\pi\) | |||||||
\(200\) | 8.01806 | + | 26.9639i | 0.566962 | + | 1.90663i | ||||
\(201\) | 6.84046 | + | 6.27053i | 0.482489 | + | 0.442289i | ||||
\(202\) | −0.165287 | − | 0.0934382i | −0.0116296 | − | 0.00657429i | ||||
\(203\) | −1.83591 | + | 6.85170i | −0.128856 | + | 0.480895i | ||||
\(204\) | −6.54594 | + | 13.1460i | −0.458307 | + | 0.920406i | ||||
\(205\) | 3.40971 | + | 12.7252i | 0.238145 | + | 0.888768i | ||||
\(206\) | 11.2040 | + | 2.89334i | 0.780620 | + | 0.201589i | ||||
\(207\) | −10.4644 | − | 4.88449i | −0.727327 | − | 0.339495i | ||||
\(208\) | 10.9595 | + | 2.51395i | 0.759906 | + | 0.174311i | ||||
\(209\) | −0.301228 | − | 0.173914i | −0.0208364 | − | 0.0120299i | ||||
\(210\) | 28.3922 | + | 14.4608i | 1.95925 | + | 0.997889i | ||||
\(211\) | −4.70786 | + | 17.5700i | −0.324103 | + | 1.20957i | 0.591108 | + | 0.806592i | \(0.298691\pi\) |
−0.915211 | + | 0.402975i | \(0.867976\pi\) | |||||||
\(212\) | −15.4383 | − | 14.8876i | −1.06031 | − | 1.02248i | ||||
\(213\) | 11.5770 | + | 6.02940i | 0.793242 | + | 0.413127i | ||||
\(214\) | 16.5761 | − | 0.150495i | 1.13312 | − | 0.0102876i | ||||
\(215\) | − | 18.7704i | − | 1.28013i | ||||||
\(216\) | 11.8943 | + | 8.63288i | 0.809302 | + | 0.587393i | ||||
\(217\) | 28.0206i | 1.90216i | ||||||||
\(218\) | 0.114626 | + | 12.6253i | 0.00776344 | + | 0.855093i | ||||
\(219\) | −4.95647 | − | 2.58138i | −0.334927 | − | 0.174433i | ||||
\(220\) | −0.0307286 | − | 1.69214i | −0.00207172 | − | 0.114084i | ||||
\(221\) | 3.08436 | − | 11.5110i | 0.207476 | − | 0.774312i | ||||
\(222\) | −4.19085 | + | 8.22829i | −0.281271 | + | 0.552246i | ||||
\(223\) | −2.82059 | − | 1.62847i | −0.188881 | − | 0.109050i | 0.402578 | − | 0.915386i | \(-0.368114\pi\) |
−0.591458 | + | 0.806336i | \(0.701448\pi\) | |||||||
\(224\) | 5.75551 | + | 18.1427i | 0.384556 | + | 1.21221i | ||||
\(225\) | −2.58916 | − | 29.7246i | −0.172610 | − | 1.98164i | ||||
\(226\) | −5.98432 | + | 23.1733i | −0.398071 | + | 1.54147i | ||||
\(227\) | −2.36663 | − | 8.83238i | −0.157079 | − | 0.586226i | −0.998918 | − | 0.0464979i | \(-0.985194\pi\) |
0.841840 | − | 0.539728i | \(-0.181473\pi\) | |||||||
\(228\) | −1.74936 | − | 5.21936i | −0.115854 | − | 0.345661i | ||||
\(229\) | 1.36053 | − | 5.07755i | 0.0899061 | − | 0.335534i | −0.906292 | − | 0.422652i | \(-0.861099\pi\) |
0.996198 | + | 0.0871183i | \(0.0277658\pi\) | |||||||
\(230\) | −10.3571 | + | 18.3211i | −0.682925 | + | 1.20806i | ||||
\(231\) | −0.940338 | − | 0.861991i | −0.0618697 | − | 0.0567148i | ||||
\(232\) | 5.24322 | + | 2.83967i | 0.344234 | + | 0.186433i | ||||
\(233\) | −14.1506 | −0.927034 | −0.463517 | − | 0.886088i | \(-0.653413\pi\) | ||||
−0.463517 | + | 0.886088i | \(0.653413\pi\) | |||||||
\(234\) | −10.8523 | − | 4.94604i | −0.709435 | − | 0.323333i | ||||
\(235\) | −12.8480 | + | 12.8480i | −0.838114 | + | 0.838114i | ||||
\(236\) | 10.7363 | + | 2.66883i | 0.698875 | + | 0.173726i | ||||
\(237\) | −8.41110 | + | 5.35621i | −0.546360 | + | 0.347923i | ||||
\(238\) | 19.4372 | − | 5.39779i | 1.25993 | − | 0.349886i | ||||
\(239\) | 7.51536 | + | 13.0170i | 0.486128 | + | 0.841999i | 0.999873 | − | 0.0159444i | \(-0.00507546\pi\) |
−0.513745 | + | 0.857943i | \(0.671742\pi\) | |||||||
\(240\) | 17.3701 | − | 20.3881i | 1.12124 | − | 1.31604i | ||||
\(241\) | 7.18920 | − | 12.4521i | 0.463097 | − | 0.802108i | −0.536016 | − | 0.844208i | \(-0.680071\pi\) |
0.999113 | + | 0.0420996i | \(0.0134047\pi\) | |||||||
\(242\) | 3.87275 | − | 14.9966i | 0.248950 | − | 0.964019i | ||||
\(243\) | −10.5205 | − | 11.5030i | −0.674888 | − | 0.737921i | ||||
\(244\) | −17.3116 | + | 4.97723i | −1.10826 | + | 0.318635i | ||||
\(245\) | −4.32388 | − | 16.1369i | −0.276242 | − | 1.03095i | ||||
\(246\) | 5.58434 | − | 6.20405i | 0.356044 | − | 0.395556i | ||||
\(247\) | 2.23348 | + | 3.86850i | 0.142113 | + | 0.246147i | ||||
\(248\) | 22.9095 | + | 5.47448i | 1.45475 | + | 0.347630i | ||||
\(249\) | −7.88815 | − | 1.75034i | −0.499891 | − | 0.110923i | ||||
\(250\) | −27.0387 | + | 0.245486i | −1.71007 | + | 0.0155259i | ||||
\(251\) | 3.59758 | + | 3.59758i | 0.227077 | + | 0.227077i | 0.811471 | − | 0.584393i | \(-0.198667\pi\) |
−0.584393 | + | 0.811471i | \(0.698667\pi\) | |||||||
\(252\) | −2.11675 | − | 20.0770i | −0.133342 | − | 1.26473i | ||||
\(253\) | 0.595798 | − | 0.595798i | 0.0374575 | − | 0.0374575i | ||||
\(254\) | 13.5240 | + | 13.2806i | 0.848569 | + | 0.833299i | ||||
\(255\) | −20.9255 | − | 19.1820i | −1.31041 | − | 1.20122i | ||||
\(256\) | 15.9578 | − | 1.16107i | 0.997364 | − | 0.0725667i | ||||
\(257\) | −4.92640 | + | 2.84426i | −0.307300 | + | 0.177420i | −0.645718 | − | 0.763576i | \(-0.723442\pi\) |
0.338418 | + | 0.940996i | \(0.390108\pi\) | |||||||
\(258\) | −9.97325 | + | 6.47899i | −0.620907 | + | 0.403365i | ||||
\(259\) | 12.2521 | − | 3.28294i | 0.761307 | − | 0.203992i | ||||
\(260\) | −10.5238 | + | 19.0171i | −0.652661 | + | 1.17939i | ||||
\(261\) | −4.84331 | − | 4.06716i | −0.299793 | − | 0.251751i | ||||
\(262\) | −0.798004 | + | 0.470439i | −0.0493008 | + | 0.0290638i | ||||
\(263\) | 18.8392 | + | 10.8768i | 1.16167 | + | 0.670693i | 0.951705 | − | 0.307015i | \(-0.0993300\pi\) |
0.209970 | + | 0.977708i | \(0.432663\pi\) | |||||||
\(264\) | −0.888475 | + | 0.600404i | −0.0546819 | + | 0.0369523i | ||||
\(265\) | 35.9028 | − | 20.7285i | 2.20549 | − | 1.27334i | ||||
\(266\) | −3.72115 | + | 6.58252i | −0.228158 | + | 0.403600i | ||||
\(267\) | −2.36945 | + | 4.54955i | −0.145008 | + | 0.278428i | ||||
\(268\) | −10.3987 | − | 2.58491i | −0.635203 | − | 0.157899i | ||||
\(269\) | 7.43467 | + | 7.43467i | 0.453300 | + | 0.453300i | 0.896448 | − | 0.443148i | \(-0.146139\pi\) |
−0.443148 | + | 0.896448i | \(0.646139\pi\) | |||||||
\(270\) | −22.3904 | + | 17.4854i | −1.36264 | + | 1.06413i | ||||
\(271\) | − | 11.8875i | − | 0.722111i | −0.932544 | − | 0.361056i | \(-0.882416\pi\) | ||
0.932544 | − | 0.361056i | \(-0.117584\pi\) | |||||||
\(272\) | −0.615680 | − | 16.9463i | −0.0373311 | − | 1.02752i | ||||
\(273\) | 4.92329 | + | 15.6251i | 0.297971 | + | 0.945673i | ||||
\(274\) | −7.96403 | − | 28.6781i | −0.481125 | − | 1.73251i | ||||
\(275\) | 2.10281 | + | 0.563445i | 0.126804 | + | 0.0339770i | ||||
\(276\) | 13.3095 | − | 0.820907i | 0.801137 | − | 0.0494128i | ||||
\(277\) | −10.0081 | + | 2.68166i | −0.601329 | + | 0.161126i | −0.546626 | − | 0.837377i | \(-0.684088\pi\) |
−0.0547032 | + | 0.998503i | \(0.517421\pi\) | |||||||
\(278\) | −8.12750 | + | 4.79132i | −0.487455 | + | 0.287364i | ||||
\(279\) | −22.6385 | − | 10.5670i | −1.35533 | − | 0.632631i | ||||
\(280\) | −36.7783 | + | 1.00196i | −2.19792 | + | 0.0598784i | ||||
\(281\) | 7.05630 | − | 12.2219i | 0.420944 | − | 0.729096i | −0.575088 | − | 0.818091i | \(-0.695032\pi\) |
0.996032 | + | 0.0889955i | \(0.0283657\pi\) | |||||||
\(282\) | 11.2613 | + | 2.39176i | 0.670600 | + | 0.142427i | ||||
\(283\) | −12.7951 | − | 3.42843i | −0.760588 | − | 0.203799i | −0.142378 | − | 0.989812i | \(-0.545475\pi\) |
−0.618209 | + | 0.786013i | \(0.712142\pi\) | |||||||
\(284\) | −15.0698 | + | 0.273662i | −0.894227 | + | 0.0162388i | ||||
\(285\) | 10.6305 | − | 0.462109i | 0.629697 | − | 0.0273730i | ||||
\(286\) | 0.609688 | − | 0.620860i | 0.0360516 | − | 0.0367122i | ||||
\(287\) | −11.4660 | −0.676817 | ||||||||
\(288\) | −16.8284 | − | 2.19188i | −0.991624 | − | 0.129158i | ||||
\(289\) | −0.972286 | −0.0571933 | ||||||||
\(290\) | −8.07580 | + | 8.22378i | −0.474227 | + | 0.482917i | ||||
\(291\) | −14.2136 | − | 22.3203i | −0.833216 | − | 1.30844i | ||||
\(292\) | 6.45186 | − | 0.117163i | 0.377566 | − | 0.00685646i | ||||
\(293\) | 29.7073 | + | 7.96005i | 1.73552 | + | 0.465031i | 0.981443 | − | 0.191756i | \(-0.0614181\pi\) |
0.754077 | + | 0.656787i | \(0.228085\pi\) | |||||||
\(294\) | −7.08153 | + | 7.86740i | −0.413003 | + | 0.458836i | ||||
\(295\) | −10.6924 | + | 18.5197i | −0.622533 | + | 1.07826i | ||||
\(296\) | −0.290375 | − | 10.6586i | −0.0168777 | − | 0.619520i | ||||
\(297\) | 1.05104 | − | 0.434652i | 0.0609875 | − | 0.0252210i | ||||
\(298\) | 27.2143 | − | 16.0434i | 1.57648 | − | 0.929368i | ||||
\(299\) | −10.4522 | + | 2.80065i | −0.604463 | + | 0.161965i | ||||
\(300\) | 19.0306 | + | 28.7201i | 1.09873 | + | 1.65815i | ||||
\(301\) | 15.7800 | + | 4.22825i | 0.909546 | + | 0.243712i | ||||
\(302\) | −7.54936 | − | 27.1849i | −0.434417 | − | 1.56432i | ||||
\(303\) | −0.227020 | − | 0.0503746i | −0.0130420 | − | 0.00289395i | ||||
\(304\) | 4.65481 | + | 4.32844i | 0.266972 | + | 0.248253i | ||||
\(305\) | − | 34.8187i | − | 1.99371i | ||||||
\(306\) | −2.96908 | + | 17.7394i | −0.169731 | + | 1.01409i | ||||
\(307\) | 23.8109 | + | 23.8109i | 1.35896 | + | 1.35896i | 0.875202 | + | 0.483758i | \(0.160728\pi\) |
0.483758 | + | 0.875202i | \(0.339272\pi\) | |||||||
\(308\) | 1.42948 | + | 0.355341i | 0.0814523 | + | 0.0202474i | ||||
\(309\) | 14.1588 | − | 0.615486i | 0.805469 | − | 0.0350138i | ||||
\(310\) | −22.4063 | + | 39.6356i | −1.27259 | + | 2.25115i | ||||
\(311\) | −9.20941 | + | 5.31706i | −0.522218 | + | 0.301503i | −0.737842 | − | 0.674974i | \(-0.764155\pi\) |
0.215624 | + | 0.976477i | \(0.430822\pi\) | |||||||
\(312\) | 13.7368 | − | 0.972529i | 0.777695 | − | 0.0550586i | ||||
\(313\) | −16.4634 | − | 9.50514i | −0.930565 | − | 0.537262i | −0.0435750 | − | 0.999050i | \(-0.513875\pi\) |
−0.886990 | + | 0.461788i | \(0.847208\pi\) | |||||||
\(314\) | 18.1548 | − | 10.7026i | 1.02453 | − | 0.603982i | ||||
\(315\) | 38.4283 | + | 6.79104i | 2.16519 | + | 0.382632i | ||||
\(316\) | 5.57519 | − | 10.0746i | 0.313629 | − | 0.566742i | ||||
\(317\) | −11.8751 | + | 3.18193i | −0.666972 | + | 0.178715i | −0.576391 | − | 0.817174i | \(-0.695539\pi\) |
−0.0905818 | + | 0.995889i | \(0.528873\pi\) | |||||||
\(318\) | −23.4063 | − | 11.9213i | −1.31256 | − | 0.668514i | ||||
\(319\) | 0.399628 | − | 0.230725i | 0.0223749 | − | 0.0129181i | ||||
\(320\) | −6.36631 | + | 30.2654i | −0.355887 | + | 1.69189i | ||||
\(321\) | 19.3638 | − | 6.10132i | 1.08078 | − | 0.340543i | ||||
\(322\) | −13.0693 | − | 12.8341i | −0.728322 | − | 0.715216i | ||||
\(323\) | 4.76356 | − | 4.76356i | 0.265052 | − | 0.265052i | ||||
\(324\) | 17.0190 | + | 5.86121i | 0.945500 | + | 0.325623i | ||||
\(325\) | −19.7692 | − | 19.7692i | −1.09660 | − | 1.09660i | ||||
\(326\) | 8.71496 | − | 0.0791237i | 0.482677 | − | 0.00438226i | ||||
\(327\) | 4.64712 | + | 14.7486i | 0.256987 | + | 0.815599i | ||||
\(328\) | −2.24015 | + | 9.37453i | −0.123692 | + | 0.517622i | ||||
\(329\) | −7.90701 | − | 13.6953i | −0.435928 | − | 0.755049i | ||||
\(330\) | −0.640843 | − | 1.97123i | −0.0352773 | − | 0.108513i | ||||
\(331\) | −8.94844 | − | 33.3960i | −0.491851 | − | 1.83561i | −0.546998 | − | 0.837134i | \(-0.684229\pi\) |
0.0551468 | − | 0.998478i | \(-0.482437\pi\) | |||||||
\(332\) | 8.96675 | − | 2.57801i | 0.492114 | − | 0.141487i | ||||
\(333\) | −1.96809 | + | 11.1368i | −0.107851 | + | 0.610293i | ||||
\(334\) | 4.85696 | − | 18.8078i | 0.265761 | − | 1.02912i | ||||
\(335\) | 10.3561 | − | 17.9374i | 0.565817 | − | 0.980023i | ||||
\(336\) | 13.2272 | + | 19.1955i | 0.721600 | + | 1.04720i | ||||
\(337\) | −14.3693 | − | 24.8884i | −0.782746 | − | 1.35576i | −0.930336 | − | 0.366707i | \(-0.880485\pi\) |
0.147591 | − | 0.989049i | \(-0.452848\pi\) | |||||||
\(338\) | 6.94685 | − | 1.92917i | 0.377859 | − | 0.104933i | ||||
\(339\) | 1.27301 | + | 29.2848i | 0.0691406 | + | 1.59053i | ||||
\(340\) | 31.8105 | + | 7.90745i | 1.72517 | + | 0.428842i | ||||
\(341\) | 1.28894 | − | 1.28894i | 0.0698001 | − | 0.0698001i | ||||
\(342\) | −3.91487 | − | 5.48878i | −0.211692 | − | 0.296799i | ||||
\(343\) | −9.01293 | −0.486653 | ||||||||
\(344\) | 6.53999 | − | 12.0756i | 0.352612 | − | 0.651071i | ||||
\(345\) | −5.58372 | + | 25.1639i | −0.300617 | + | 1.35478i | ||||
\(346\) | −3.77793 | + | 6.68297i | −0.203103 | + | 0.359278i | ||||
\(347\) | −2.92992 | + | 10.9346i | −0.157287 | + | 0.587002i | 0.841612 | + | 0.540082i | \(0.181607\pi\) |
−0.998899 | + | 0.0469191i | \(0.985060\pi\) | |||||||
\(348\) | 7.15706 | + | 1.45229i | 0.383659 | + | 0.0778509i | ||||
\(349\) | −2.90715 | − | 10.8496i | −0.155616 | − | 0.580767i | −0.999052 | − | 0.0435372i | \(-0.986137\pi\) |
0.843436 | − | 0.537230i | \(-0.180529\pi\) | |||||||
\(350\) | 11.8334 | − | 45.8228i | 0.632520 | − | 2.44933i | ||||
\(351\) | −14.4805 | − | 1.91482i | −0.772914 | − | 0.102205i | ||||
\(352\) | 0.569807 | − | 1.09931i | 0.0303708 | − | 0.0585935i | ||||
\(353\) | 1.85946 | + | 1.07356i | 0.0989689 | + | 0.0571397i | 0.548668 | − | 0.836041i | \(-0.315135\pi\) |
−0.449699 | + | 0.893180i | \(0.648469\pi\) | |||||||
\(354\) | 13.5307 | − | 0.711310i | 0.719151 | − | 0.0378057i | ||||
\(355\) | 7.54056 | − | 28.1417i | 0.400211 | − | 1.49361i | ||||
\(356\) | −0.107544 | − | 5.92216i | −0.00569983 | − | 0.313874i | ||||
\(357\) | 20.8398 | − | 13.2708i | 1.10296 | − | 0.702366i | ||||
\(358\) | −0.00690217 | − | 0.760229i | −0.000364791 | − | 0.0401793i | ||||
\(359\) | 11.0166i | 0.581435i | 0.956809 | + | 0.290718i | \(0.0938941\pi\) | ||||
−0.956809 | + | 0.290718i | \(0.906106\pi\) | |||||||
\(360\) | 13.0602 | − | 30.0919i | 0.688332 | − | 1.58598i | ||||
\(361\) | − | 16.4748i | − | 0.867097i | ||||||
\(362\) | 9.97944 | − | 0.0906039i | 0.524508 | − | 0.00476204i | ||||
\(363\) | −0.823831 | − | 18.9517i | −0.0432399 | − | 0.994705i | ||||
\(364\) | −13.6168 | − | 13.1311i | −0.713714 | − | 0.688255i | ||||
\(365\) | −3.22835 | + | 12.0484i | −0.168980 | + | 0.630641i | ||||
\(366\) | −18.5002 | + | 12.0184i | −0.967020 | + | 0.628212i | ||||
\(367\) | 20.1365 | + | 11.6258i | 1.05112 | + | 0.606863i | 0.922962 | − | 0.384891i | \(-0.125761\pi\) |
0.128156 | + | 0.991754i | \(0.459094\pi\) | |||||||
\(368\) | −13.0465 | + | 8.17791i | −0.680094 | + | 0.426303i | ||||
\(369\) | 4.32402 | − | 9.26366i | 0.225099 | − | 0.482247i | ||||
\(370\) | 19.9559 | + | 5.15345i | 1.03746 | + | 0.267915i | ||||
\(371\) | 9.33867 | + | 34.8524i | 0.484839 | + | 1.80945i | ||||
\(372\) | 28.7935 | − | 1.77594i | 1.49287 | − | 0.0920781i | ||||
\(373\) | −2.66079 | + | 9.93021i | −0.137771 | + | 0.514167i | 0.862201 | + | 0.506567i | \(0.169086\pi\) |
−0.999971 | + | 0.00759967i | \(0.997581\pi\) | |||||||
\(374\) | −1.14240 | − | 0.645810i | −0.0590723 | − | 0.0333940i | ||||
\(375\) | −31.5860 | + | 9.95240i | −1.63109 | + | 0.513940i | ||||
\(376\) | −12.7420 | + | 3.78901i | −0.657121 | + | 0.195404i | ||||
\(377\) | −5.92615 | −0.305212 | ||||||||
\(378\) | −9.65605 | − | 22.7621i | −0.496653 | − | 1.17076i | ||||
\(379\) | −6.14819 | + | 6.14819i | −0.315811 | + | 0.315811i | −0.847156 | − | 0.531345i | \(-0.821687\pi\) |
0.531345 | + | 0.847156i | \(0.321687\pi\) | |||||||
\(380\) | −10.5273 | + | 6.33551i | −0.540037 | + | 0.325005i | ||||
\(381\) | 20.5894 | + | 10.7231i | 1.05483 | + | 0.549363i | ||||
\(382\) | 4.09105 | + | 14.7317i | 0.209316 | + | 0.753740i | ||||
\(383\) | 1.40170 | + | 2.42782i | 0.0716238 | + | 0.124056i | 0.899613 | − | 0.436688i | \(-0.143849\pi\) |
−0.827989 | + | 0.560744i | \(0.810515\pi\) | |||||||
\(384\) | 18.2783 | − | 7.06414i | 0.932763 | − | 0.360491i | ||||
\(385\) | −1.42363 | + | 2.46580i | −0.0725548 | + | 0.125669i | ||||
\(386\) | −7.12153 | − | 1.83908i | −0.362476 | − | 0.0936066i | ||||
\(387\) | −9.36701 | + | 11.1545i | −0.476152 | + | 0.567017i | ||||
\(388\) | 26.7347 | + | 14.7947i | 1.35725 | + | 0.751086i | ||||
\(389\) | 7.82350 | + | 29.1977i | 0.396667 | + | 1.48038i | 0.818922 | + | 0.573905i | \(0.194572\pi\) |
−0.422255 | + | 0.906477i | \(0.638761\pi\) | |||||||
\(390\) | −5.53031 | + | 26.0388i | −0.280038 | + | 1.31852i | ||||
\(391\) | 8.15956 | + | 14.1328i | 0.412647 | + | 0.714725i | ||||
\(392\) | 2.84075 | − | 11.8879i | 0.143480 | − | 0.600430i | ||||
\(393\) | −0.766644 | + | 0.836325i | −0.0386721 | + | 0.0421870i | ||||
\(394\) | 0.0534825 | + | 5.89075i | 0.00269441 | + | 0.296772i | ||||
\(395\) | 15.7382 | + | 15.7382i | 0.791873 | + | 0.791873i | ||||
\(396\) | −0.826169 | + | 1.02091i | −0.0415166 | + | 0.0513026i | ||||
\(397\) | 1.95789 | − | 1.95789i | 0.0982636 | − | 0.0982636i | −0.656266 | − | 0.754530i | \(-0.727865\pi\) |
0.754530 | + | 0.656266i | \(0.227865\pi\) | |||||||
\(398\) | −2.54938 | + | 2.59610i | −0.127789 | + | 0.130131i | ||||
\(399\) | −2.00615 | + | 9.04103i | −0.100433 | + | 0.452617i | ||||
\(400\) | −35.1525 | − | 18.6274i | −1.75762 | − | 0.931372i | ||||
\(401\) | −28.7356 | + | 16.5905i | −1.43499 | + | 0.828489i | −0.997495 | − | 0.0707337i | \(-0.977466\pi\) |
−0.437490 | + | 0.899223i | \(0.644133\pi\) | |||||||
\(402\) | −13.1053 | + | 0.688943i | −0.653632 | + | 0.0343613i | ||||
\(403\) | −22.6120 | + | 6.05887i | −1.12638 | + | 0.301814i | ||||
\(404\) | 0.258063 | − | 0.0741950i | 0.0128391 | − | 0.00369134i | ||||
\(405\) | −19.9786 | + | 28.4861i | −0.992743 | + | 1.41549i | ||||
\(406\) | −5.09446 | − | 8.64172i | −0.252834 | − | 0.428881i | ||||
\(407\) | −0.714607 | − | 0.412578i | −0.0354217 | − | 0.0204508i | ||||
\(408\) | −6.77860 | − | 19.6312i | −0.335591 | − | 0.971891i | ||||
\(409\) | 22.8959 | − | 13.2190i | 1.13213 | − | 0.653636i | 0.187660 | − | 0.982234i | \(-0.439910\pi\) |
0.944470 | + | 0.328598i | \(0.106576\pi\) | |||||||
\(410\) | −16.2188 | − | 9.16864i | −0.800991 | − | 0.452807i | ||||
\(411\) | −19.5801 | − | 30.7475i | −0.965816 | − | 1.51666i | ||||
\(412\) | −14.0213 | + | 8.43831i | −0.690781 | + | 0.415725i | ||||
\(413\) | −13.1607 | − | 13.1607i | −0.647596 | − | 0.647596i | ||||
\(414\) | 15.2976 | − | 5.71904i | 0.751836 | − | 0.281075i | ||||
\(415\) | 18.0347i | 0.885290i | ||||||||
\(416\) | −13.3962 | + | 8.56755i | −0.656805 | + | 0.420059i | ||||
\(417\) | −7.80811 | + | 8.51780i | −0.382365 | + | 0.417118i | ||||
\(418\) | 0.473966 | − | 0.131622i | 0.0231824 | − | 0.00643785i | ||||
\(419\) | −0.499479 | − | 0.133835i | −0.0244012 | − | 0.00653827i | 0.246598 | − | 0.969118i | \(-0.420687\pi\) |
−0.270999 | + | 0.962580i | \(0.587354\pi\) | |||||||
\(420\) | −42.7248 | + | 14.3199i | −2.08476 | + | 0.698741i | ||||
\(421\) | 12.8514 | − | 3.44352i | 0.626339 | − | 0.167827i | 0.0683313 | − | 0.997663i | \(-0.478233\pi\) |
0.558008 | + | 0.829836i | \(0.311566\pi\) | |||||||
\(422\) | −13.0638 | − | 22.1601i | −0.635938 | − | 1.07874i | ||||
\(423\) | 14.0467 | − | 1.22353i | 0.682972 | − | 0.0594902i | ||||
\(424\) | 30.3196 | − | 0.826002i | 1.47245 | − | 0.0401142i | ||||
\(425\) | −21.0818 | + | 36.5148i | −1.02262 | + | 1.77123i | ||||
\(426\) | −17.5553 | + | 5.70720i | −0.850556 | + | 0.276515i | ||||
\(427\) | 29.2717 | + | 7.84332i | 1.41655 | + | 0.379565i | ||||
\(428\) | −16.2730 | + | 16.8750i | −0.786586 | + | 0.815683i | ||||
\(429\) | 0.492279 | − | 0.945220i | 0.0237675 | − | 0.0456356i | ||||
\(430\) | 18.9400 | + | 18.5992i | 0.913370 | + | 0.896934i | ||||
\(431\) | −8.61129 | −0.414791 | −0.207396 | − | 0.978257i | \(-0.566499\pi\) | ||||
−0.207396 | + | 0.978257i | \(0.566499\pi\) | |||||||
\(432\) | −20.4967 | + | 3.44761i | −0.986147 | + | 0.165873i | ||||
\(433\) | 6.43973 | 0.309474 | 0.154737 | − | 0.987956i | \(-0.450547\pi\) | ||||
0.154737 | + | 0.987956i | \(0.450547\pi\) | |||||||
\(434\) | −28.2738 | − | 27.7651i | −1.35719 | − | 1.33277i | ||||
\(435\) | −6.52063 | + | 12.5202i | −0.312640 | + | 0.600297i | ||||
\(436\) | −12.8530 | − | 12.3945i | −0.615546 | − | 0.593588i | ||||
\(437\) | −5.90859 | − | 1.58320i | −0.282646 | − | 0.0757348i | ||||
\(438\) | 7.51598 | − | 2.44343i | 0.359127 | − | 0.116752i | ||||
\(439\) | 14.4510 | − | 25.0298i | 0.689707 | − | 1.19461i | −0.282225 | − | 0.959348i | \(-0.591073\pi\) |
0.971933 | − | 0.235260i | \(-0.0755941\pi\) | |||||||
\(440\) | 1.73788 | + | 1.64570i | 0.0828502 | + | 0.0784557i | ||||
\(441\) | −5.48331 | + | 11.7473i | −0.261110 | + | 0.559396i | ||||
\(442\) | 8.55878 | + | 14.5182i | 0.407100 | + | 0.690562i | ||||
\(443\) | −31.1860 | + | 8.35627i | −1.48169 | + | 0.397018i | −0.906923 | − | 0.421297i | \(-0.861575\pi\) |
−0.574770 | + | 0.818315i | \(0.694908\pi\) | |||||||
\(444\) | −4.15002 | − | 12.3820i | −0.196951 | − | 0.587622i | ||||
\(445\) | 11.0592 | + | 2.96330i | 0.524257 | + | 0.140474i | ||||
\(446\) | 4.43805 | − | 1.23246i | 0.210148 | − | 0.0583588i | ||||
\(447\) | 26.1449 | − | 28.5212i | 1.23661 | − | 1.34901i | ||||
\(448\) | −24.0097 | − | 12.1697i | −1.13435 | − | 0.574964i | ||||
\(449\) | 10.7097i | 0.505423i | 0.967542 | + | 0.252711i | \(0.0813223\pi\) | ||||
−0.967542 | + | 0.252711i | \(0.918678\pi\) | |||||||
\(450\) | 32.5588 | + | 26.8410i | 1.53484 | + | 1.26530i | ||||
\(451\) | 0.527433 | + | 0.527433i | 0.0248359 | + | 0.0248359i | ||||
\(452\) | −17.4530 | − | 29.0004i | −0.820920 | − | 1.36406i | ||||
\(453\) | −18.5606 | − | 29.1466i | −0.872054 | − | 1.36943i | ||||
\(454\) | 11.2572 | + | 6.36381i | 0.528329 | + | 0.298668i | ||||
\(455\) | 31.6669 | − | 18.2829i | 1.48457 | − | 0.857114i | ||||
\(456\) | 6.99993 | + | 3.40660i | 0.327802 | + | 0.159528i | ||||
\(457\) | 13.1358 | + | 7.58393i | 0.614465 | + | 0.354761i | 0.774711 | − | 0.632316i | \(-0.217895\pi\) |
−0.160246 | + | 0.987077i | \(0.551229\pi\) | |||||||
\(458\) | 3.77532 | + | 6.40406i | 0.176409 | + | 0.299242i | ||||
\(459\) | 2.86281 | + | 21.8416i | 0.133624 | + | 1.01948i | ||||
\(460\) | −8.22407 | − | 28.6047i | −0.383449 | − | 1.33370i | ||||
\(461\) | −11.5696 | + | 3.10006i | −0.538849 | + | 0.144384i | −0.517971 | − | 0.855398i | \(-0.673313\pi\) |
−0.0208774 | + | 0.999782i | \(0.506646\pi\) | |||||||
\(462\) | 1.80154 | − | 0.0947069i | 0.0838154 | − | 0.00440617i | ||||
\(463\) | −2.03363 | + | 1.17412i | −0.0945107 | + | 0.0545658i | −0.546510 | − | 0.837452i | \(-0.684044\pi\) |
0.452000 | + | 0.892018i | \(0.350711\pi\) | |||||||
\(464\) | −8.06073 | + | 2.47684i | −0.374210 | + | 0.114984i | ||||
\(465\) | −12.0797 | + | 54.4391i | −0.560184 | + | 2.52455i | ||||
\(466\) | 14.0215 | − | 14.2784i | 0.649534 | − | 0.661436i | ||||
\(467\) | 24.1509 | − | 24.1509i | 1.11757 | − | 1.11757i | 0.125473 | − | 0.992097i | \(-0.459955\pi\) |
0.992097 | − | 0.125473i | \(-0.0400449\pi\) | |||||||
\(468\) | 15.7440 | − | 6.04941i | 0.727768 | − | 0.279634i | ||||
\(469\) | 12.7469 | + | 12.7469i | 0.588596 | + | 0.588596i | ||||
\(470\) | −0.233287 | − | 25.6950i | −0.0107607 | − | 1.18522i | ||||
\(471\) | 17.4413 | − | 19.0266i | 0.803654 | − | 0.876700i | ||||
\(472\) | −13.3314 | + | 8.18886i | −0.613626 | + | 0.376923i | ||||
\(473\) | −0.531379 | − | 0.920376i | −0.0244328 | − | 0.0423189i | ||||
\(474\) | 2.92978 | − | 13.7945i | 0.134569 | − | 0.633601i | ||||
\(475\) | −4.09051 | − | 15.2660i | −0.187685 | − | 0.700452i | ||||
\(476\) | −13.8134 | + | 24.9614i | −0.633135 | + | 1.14410i | ||||
\(477\) | −31.6799 | − | 5.59846i | −1.45052 | − | 0.256336i | ||||
\(478\) | −20.5814 | − | 5.31499i | −0.941373 | − | 0.243102i | ||||
\(479\) | −2.40917 | + | 4.17281i | −0.110078 | + | 0.190660i | −0.915801 | − | 0.401631i | \(-0.868443\pi\) |
0.805724 | + | 0.592292i | \(0.201777\pi\) | |||||||
\(480\) | 3.36059 | + | 37.7292i | 0.153389 | + | 1.72210i | ||||
\(481\) | 5.29851 | + | 9.17730i | 0.241591 | + | 0.418449i | ||||
\(482\) | 5.44096 | + | 19.5927i | 0.247829 | + | 0.892422i | ||||
\(483\) | −19.8971 | − | 10.3626i | −0.905351 | − | 0.471515i | ||||
\(484\) | 11.2947 | + | 18.7676i | 0.513396 | + | 0.853072i | ||||
\(485\) | −41.7638 | + | 41.7638i | −1.89640 | + | 1.89640i | ||||
\(486\) | 22.0315 | + | 0.782600i | 0.999370 | + | 0.0354995i | ||||
\(487\) | 37.5042 | 1.69948 | 0.849739 | − | 0.527204i | \(-0.176760\pi\) | ||||
0.849739 | + | 0.527204i | \(0.176760\pi\) | |||||||
\(488\) | 12.1315 | − | 22.3999i | 0.549169 | − | 1.01400i | ||||
\(489\) | 10.1806 | − | 3.20781i | 0.460384 | − | 0.145062i | ||||
\(490\) | 20.5672 | + | 11.6268i | 0.929132 | + | 0.525246i | ||||
\(491\) | −0.504576 | + | 1.88310i | −0.0227712 | + | 0.0849832i | −0.976376 | − | 0.216077i | \(-0.930674\pi\) |
0.953605 | + | 0.301060i | \(0.0973405\pi\) | |||||||
\(492\) | 0.726712 | + | 11.7823i | 0.0327627 | + | 0.531186i | ||||
\(493\) | 2.31315 | + | 8.63279i | 0.104179 | + | 0.388801i | ||||
\(494\) | −6.11657 | − | 1.57955i | −0.275198 | − | 0.0710675i | ||||
\(495\) | −1.45530 | − | 2.08008i | −0.0654111 | − | 0.0934925i | ||||
\(496\) | −28.2245 | + | 17.6920i | −1.26732 | + | 0.794392i | ||||
\(497\) | 21.9598 | + | 12.6785i | 0.985032 | + | 0.568708i | ||||
\(498\) | 9.58236 | − | 6.22506i | 0.429396 | − | 0.278952i | ||||
\(499\) | −2.91509 | + | 10.8793i | −0.130497 | + | 0.487023i | −0.999976 | − | 0.00694794i | \(-0.997788\pi\) |
0.869478 | + | 0.493971i | \(0.164455\pi\) | |||||||
\(500\) | 26.5444 | − | 27.5263i | 1.18710 | − | 1.23101i | ||||
\(501\) | −1.03320 | − | 23.7680i | −0.0461598 | − | 1.06187i | ||||
\(502\) | −7.19487 | + | 0.0653226i | −0.321123 | + | 0.00291549i | ||||
\(503\) | − | 15.3339i | − | 0.683706i | −0.939753 | − | 0.341853i | \(-0.888945\pi\) | ||
0.939753 | − | 0.341853i | \(-0.111055\pi\) | |||||||
\(504\) | 22.3559 | + | 17.7581i | 0.995812 | + | 0.791007i | ||||
\(505\) | 0.519039i | 0.0230969i | ||||||||
\(506\) | 0.0108181 | + | 1.19155i | 0.000480925 | + | 0.0529708i | ||||
\(507\) | 7.44813 | − | 4.74299i | 0.330783 | − | 0.210644i | ||||
\(508\) | −26.8012 | + | 0.486700i | −1.18911 | + | 0.0215938i | ||||
\(509\) | 8.59758 | − | 32.0866i | 0.381081 | − | 1.42221i | −0.463172 | − | 0.886269i | \(-0.653289\pi\) |
0.844253 | − | 0.535945i | \(-0.180045\pi\) | |||||||
\(510\) | 40.0900 | − | 2.10753i | 1.77522 | − | 0.0933229i | ||||
\(511\) | −9.40169 | − | 5.42807i | −0.415906 | − | 0.240124i | ||||
\(512\) | −14.6407 | + | 17.2525i | −0.647035 | + | 0.762461i | ||||
\(513\) | −6.54791 | − | 5.03034i | −0.289097 | − | 0.222095i | ||||
\(514\) | 2.01151 | − | 7.78924i | 0.0887238 | − | 0.343568i | ||||
\(515\) | −8.18713 | − | 30.5548i | −0.360768 | − | 1.34641i | ||||
\(516\) | 3.34474 | − | 16.4833i | 0.147244 | − | 0.725636i | ||||
\(517\) | −0.266262 | + | 0.993703i | −0.0117102 | + | 0.0437030i | ||||
\(518\) | −8.82774 | + | 15.6158i | −0.387869 | + | 0.686119i | ||||
\(519\) | −2.03677 | + | 9.17899i | −0.0894042 | + | 0.402913i | ||||
\(520\) | −8.76109 | − | 29.4626i | −0.384199 | − | 1.29202i | ||||
\(521\) | 20.5032 | 0.898262 | 0.449131 | − | 0.893466i | \(-0.351734\pi\) | ||||
0.449131 | + | 0.893466i | \(0.351734\pi\) | |||||||
\(522\) | 8.90306 | − | 0.857008i | 0.389676 | − | 0.0375102i | ||||
\(523\) | −29.2406 | + | 29.2406i | −1.27860 | + | 1.27860i | −0.337151 | + | 0.941451i | \(0.609463\pi\) |
−0.941451 | + | 0.337151i | \(0.890537\pi\) | |||||||
\(524\) | 0.316036 | − | 1.27136i | 0.0138061 | − | 0.0555398i | ||||
\(525\) | −2.51725 | − | 57.9076i | −0.109862 | − | 2.52730i | ||||
\(526\) | −29.6425 | + | 8.23184i | −1.29247 | + | 0.358925i | ||||
\(527\) | 17.6523 | + | 30.5746i | 0.768944 | + | 1.33185i | ||||
\(528\) | 0.274542 | − | 1.49143i | 0.0119479 | − | 0.0649063i | ||||
\(529\) | −4.09099 | + | 7.08581i | −0.177869 | + | 0.308079i | ||||
\(530\) | −14.6596 | + | 56.7668i | −0.636771 | + | 2.46579i | ||||
\(531\) | 15.5960 | − | 5.66974i | 0.676808 | − | 0.246046i | ||||
\(532\) | −2.95479 | − | 10.2773i | −0.128107 | − | 0.445576i | ||||
\(533\) | −2.47928 | − | 9.25281i | −0.107390 | − | 0.400784i | ||||
\(534\) | −2.24283 | − | 6.89892i | −0.0970566 | − | 0.298545i | ||||
\(535\) | −22.6575 | − | 39.2440i | −0.979570 | − | 1.69667i | ||||
\(536\) | 12.9122 | − | 7.93136i | 0.557720 | − | 0.342583i | ||||
\(537\) | −0.279825 | − | 0.888083i | −0.0120754 | − | 0.0383236i | ||||
\(538\) | −14.8687 | + | 0.134994i | −0.641036 | + | 0.00582001i | ||||
\(539\) | −0.668841 | − | 0.668841i | −0.0288090 | − | 0.0288090i | ||||
\(540\) | 4.54279 | − | 39.9187i | 0.195490 | − | 1.71783i | ||||
\(541\) | 20.5836 | − | 20.5836i | 0.884956 | − | 0.884956i | −0.109077 | − | 0.994033i | \(-0.534790\pi\) |
0.994033 | + | 0.109077i | \(0.0347895\pi\) | |||||||
\(542\) | 11.9949 | + | 11.7790i | 0.515224 | + | 0.505953i | ||||
\(543\) | 11.6578 | − | 3.67324i | 0.500282 | − | 0.157634i | ||||
\(544\) | 17.7095 | + | 16.1705i | 0.759290 | + | 0.693305i | ||||
\(545\) | 29.8905 | − | 17.2573i | 1.28037 | − | 0.739221i | ||||
\(546\) | −20.6447 | − | 10.5148i | −0.883511 | − | 0.449991i | ||||
\(547\) | −38.0779 | + | 10.2029i | −1.62809 | + | 0.436246i | −0.953365 | − | 0.301821i | \(-0.902406\pi\) |
−0.674728 | + | 0.738067i | \(0.735739\pi\) | |||||||
\(548\) | 36.8287 | + | 20.3806i | 1.57324 | + | 0.870616i | ||||
\(549\) | −17.3756 | + | 20.6914i | −0.741574 | + | 0.883089i | ||||
\(550\) | −2.65217 | + | 1.56350i | −0.113089 | + | 0.0666680i | ||||
\(551\) | −2.90122 | − | 1.67502i | −0.123596 | − | 0.0713584i | ||||
\(552\) | −12.3598 | + | 14.2432i | −0.526067 | + | 0.606230i | ||||
\(553\) | −16.7761 | + | 9.68566i | −0.713391 | + | 0.411876i | ||||
\(554\) | 7.21093 | − | 12.7558i | 0.306363 | − | 0.541940i | ||||
\(555\) | 25.2189 | − | 1.09627i | 1.07048 | − | 0.0465340i | ||||
\(556\) | 3.21876 | − | 12.9486i | 0.136506 | − | 0.549142i | ||||
\(557\) | 1.52288 | + | 1.52288i | 0.0645265 | + | 0.0645265i | 0.738634 | − | 0.674107i | \(-0.235471\pi\) |
−0.674107 | + | 0.738634i | \(0.735471\pi\) | |||||||
\(558\) | 33.0946 | − | 12.3725i | 1.40101 | − | 0.523769i | ||||
\(559\) | 13.6484i | 0.577266i | ||||||||
\(560\) | 35.4318 | − | 38.1035i | 1.49727 | − | 1.61017i | ||||
\(561\) | −1.56908 | − | 0.348170i | −0.0662466 | − | 0.0146998i | ||||
\(562\) | 5.34038 | + | 19.2305i | 0.225270 | + | 0.811189i | ||||
\(563\) | −4.85715 | − | 1.30147i | −0.204705 | − | 0.0548504i | 0.155010 | − | 0.987913i | \(-0.450459\pi\) |
−0.359714 | + | 0.933063i | \(0.617126\pi\) | |||||||
\(564\) | −13.5720 | + | 8.99312i | −0.571483 | + | 0.378679i | ||||
\(565\) | 63.1966 | − | 16.9335i | 2.65870 | − | 0.712397i | ||||
\(566\) | 16.1378 | − | 9.51354i | 0.678322 | − | 0.399884i | ||||
\(567\) | −19.4475 | − | 23.2126i | −0.816719 | − | 0.974836i | ||||
\(568\) | 14.6562 | − | 15.4771i | 0.614961 | − | 0.649407i | ||||
\(569\) | 17.4710 | − | 30.2606i | 0.732421 | − | 1.26859i | −0.223425 | − | 0.974721i | \(-0.571724\pi\) |
0.955846 | − | 0.293869i | \(-0.0949430\pi\) | |||||||
\(570\) | −10.0673 | + | 11.1845i | −0.421672 | + | 0.468466i | ||||
\(571\) | 34.1869 | + | 9.16034i | 1.43068 | + | 0.383348i | 0.889258 | − | 0.457406i | \(-0.151221\pi\) |
0.541417 | + | 0.840754i | \(0.317888\pi\) | |||||||
\(572\) | 0.0223435 | + | 1.23040i | 0.000934229 | + | 0.0514454i | ||||
\(573\) | 10.0581 | + | 15.7947i | 0.420185 | + | 0.659835i | ||||
\(574\) | 11.3614 | − | 11.5696i | 0.474217 | − | 0.482907i | ||||
\(575\) | 38.2852 | 1.59660 | ||||||||
\(576\) | 18.8866 | − | 14.8086i | 0.786943 | − | 0.617025i | ||||
\(577\) | −17.4865 | −0.727972 | −0.363986 | − | 0.931404i | \(-0.618584\pi\) | ||||
−0.363986 | + | 0.931404i | \(0.618584\pi\) | |||||||
\(578\) | 0.963419 | − | 0.981073i | 0.0400730 | − | 0.0408073i | ||||
\(579\) | −8.99970 | + | 0.391218i | −0.374015 | + | 0.0162584i | ||||
\(580\) | −0.295958 | − | 16.2976i | −0.0122890 | − | 0.676719i | ||||
\(581\) | −15.1616 | − | 4.06253i | −0.629008 | − | 0.168542i | ||||
\(582\) | 36.6060 | + | 7.77465i | 1.51737 | + | 0.322270i | ||||
\(583\) | 1.17362 | − | 2.03278i | 0.0486065 | − | 0.0841890i | ||||
\(584\) | −6.27479 | + | 6.62626i | −0.259653 | + | 0.274197i | ||||
\(585\) | 2.82909 | + | 32.4792i | 0.116969 | + | 1.34285i | ||||
\(586\) | −37.4684 | + | 22.0883i | −1.54780 | + | 0.912461i | ||||
\(587\) | 12.3561 | − | 3.31081i | 0.509991 | − | 0.136652i | 0.00535825 | − | 0.999986i | \(-0.498294\pi\) |
0.504633 | + | 0.863334i | \(0.331628\pi\) | |||||||
\(588\) | −0.921548 | − | 14.9412i | −0.0380040 | − | 0.616164i | ||||
\(589\) | −12.7825 | − | 3.42507i | −0.526696 | − | 0.141128i | ||||
\(590\) | −8.09224 | − | 29.1398i | −0.333152 | − | 1.19967i | ||||
\(591\) | 2.16827 | + | 6.88145i | 0.0891907 | + | 0.283065i | ||||
\(592\) | 11.0427 | + | 10.2684i | 0.453851 | + | 0.422029i | ||||
\(593\) | 25.7816i | 1.05872i | 0.848397 | + | 0.529361i | \(0.177568\pi\) | ||||
−0.848397 | + | 0.529361i | \(0.822432\pi\) | |||||||
\(594\) | −0.602875 | + | 1.49123i | −0.0247363 | + | 0.0611858i | ||||
\(595\) | −38.9937 | − | 38.9937i | −1.59858 | − | 1.59858i | ||||
\(596\) | −10.7778 | + | 43.3574i | −0.441475 | + | 1.77599i | ||||
\(597\) | −2.05844 | + | 3.95239i | −0.0842465 | + | 0.161761i | ||||
\(598\) | 7.53087 | − | 13.3217i | 0.307960 | − | 0.544765i | ||||
\(599\) | −27.3647 | + | 15.7990i | −1.11809 | + | 0.645531i | −0.940913 | − | 0.338647i | \(-0.890031\pi\) |
−0.177180 | + | 0.984179i | \(0.556697\pi\) | |||||||
\(600\) | −47.8367 | − | 9.25553i | −1.95293 | − | 0.377855i | ||||
\(601\) | −23.3729 | − | 13.4944i | −0.953401 | − | 0.550447i | −0.0592656 | − | 0.998242i | \(-0.518876\pi\) |
−0.894136 | + | 0.447796i | \(0.852209\pi\) | |||||||
\(602\) | −19.9026 | + | 11.7330i | −0.811169 | + | 0.478200i | ||||
\(603\) | −15.1056 | + | 5.49146i | −0.615146 | + | 0.223630i | ||||
\(604\) | 34.9111 | + | 19.3194i | 1.42051 | + | 0.786097i | ||||
\(605\) | −40.8977 | + | 10.9585i | −1.66273 | + | 0.445527i | ||||
\(606\) | 0.275780 | − | 0.179157i | 0.0112028 | − | 0.00727776i | ||||
\(607\) | 21.2314 | − | 12.2579i | 0.861755 | − | 0.497534i | −0.00284471 | − | 0.999996i | \(-0.500905\pi\) |
0.864600 | + | 0.502462i | \(0.167572\pi\) | |||||||
\(608\) | −8.97992 | + | 0.407915i | −0.364184 | + | 0.0165431i | ||||
\(609\) | −9.05671 | − | 8.30212i | −0.366996 | − | 0.336419i | ||||
\(610\) | 35.1334 | + | 34.5012i | 1.42251 | + | 1.39691i | ||||
\(611\) | 9.34212 | − | 9.34212i | 0.377942 | − | 0.377942i | ||||
\(612\) | −14.9577 | − | 20.5735i | −0.604629 | − | 0.831635i | ||||
\(613\) | −30.3894 | − | 30.3894i | −1.22742 | − | 1.22742i | −0.964937 | − | 0.262481i | \(-0.915459\pi\) |
−0.262481 | − | 0.964937i | \(-0.584541\pi\) | |||||||
\(614\) | −47.6198 | + | 0.432343i | −1.92178 | + | 0.0174480i | ||||
\(615\) | −22.2764 | − | 4.94301i | −0.898272 | − | 0.199322i | ||||
\(616\) | −1.77500 | + | 1.09030i | −0.0715167 | + | 0.0439295i | ||||
\(617\) | 15.8393 | + | 27.4345i | 0.637668 | + | 1.10447i | 0.985943 | + | 0.167081i | \(0.0534341\pi\) |
−0.348275 | + | 0.937392i | \(0.613233\pi\) | |||||||
\(618\) | −13.4087 | + | 14.8967i | −0.539376 | + | 0.599232i | ||||
\(619\) | 5.39413 | + | 20.1312i | 0.216809 | + | 0.809141i | 0.985522 | + | 0.169547i | \(0.0542305\pi\) |
−0.768713 | + | 0.639593i | \(0.779103\pi\) | |||||||
\(620\) | −17.7918 | − | 61.8829i | −0.714537 | − | 2.48528i | ||||
\(621\) | 15.8757 | − | 12.1675i | 0.637071 | − | 0.488264i | ||||
\(622\) | 3.76031 | − | 14.5612i | 0.150775 | − | 0.583851i | ||||
\(623\) | −4.98242 | + | 8.62981i | −0.199617 | + | 0.345746i | ||||
\(624\) | −12.6302 | + | 14.8246i | −0.505614 | + | 0.593461i | ||||
\(625\) | 12.0944 | + | 20.9481i | 0.483775 | + | 0.837923i | ||||
\(626\) | 25.9043 | − | 7.19372i | 1.03534 | − | 0.287519i | ||||
\(627\) | 0.508167 | − | 0.323602i | 0.0202943 | − | 0.0129234i | ||||
\(628\) | −7.18989 | + | 28.9238i | −0.286908 | + | 1.15419i | ||||
\(629\) | 11.3007 | − | 11.3007i | 0.450587 | − | 0.450587i | ||||
\(630\) | −44.9302 | + | 32.0465i | −1.79006 | + | 1.27676i | ||||
\(631\) | −19.9953 | −0.796002 | −0.398001 | − | 0.917385i | \(-0.630296\pi\) | ||||
−0.398001 | + | 0.917385i | \(0.630296\pi\) | |||||||
\(632\) | 4.64134 | + | 15.6083i | 0.184623 | + | 0.620866i | ||||
\(633\) | −23.2243 | − | 21.2893i | −0.923084 | − | 0.846174i | ||||
\(634\) | 8.55612 | − | 15.1353i | 0.339807 | − | 0.601101i | ||||
\(635\) | 13.4107 | − | 50.0494i | 0.532187 | − | 1.98615i | ||||
\(636\) | 35.2218 | − | 11.8052i | 1.39664 | − | 0.468106i | ||||
\(637\) | 3.14400 | + | 11.7335i | 0.124570 | + | 0.464900i | ||||
\(638\) | −0.163173 | + | 0.631861i | −0.00646008 | + | 0.0250156i | ||||
\(639\) | −18.5247 | + | 12.9606i | −0.732824 | + | 0.512713i | ||||
\(640\) | −24.2307 | − | 36.4133i | −0.957803 | − | 1.43936i | ||||
\(641\) | 12.6976 | + | 7.33098i | 0.501526 | + | 0.289556i | 0.729344 | − | 0.684148i | \(-0.239826\pi\) |
−0.227818 | + | 0.973704i | \(0.573159\pi\) | |||||||
\(642\) | −13.0307 | + | 25.5845i | −0.514282 | + | 1.00974i | ||||
\(643\) | −3.45056 | + | 12.8777i | −0.136077 | + | 0.507846i | 0.863914 | + | 0.503639i | \(0.168006\pi\) |
−0.999991 | + | 0.00420705i | \(0.998661\pi\) | |||||||
\(644\) | 25.9002 | − | 0.470337i | 1.02061 | − | 0.0185339i | ||||
\(645\) | 28.8350 | + | 15.0175i | 1.13538 | + | 0.591315i | ||||
\(646\) | 0.0864938 | + | 9.52673i | 0.00340305 | + | 0.374824i | ||||
\(647\) | 30.5078i | 1.19939i | 0.800231 | + | 0.599693i | \(0.204710\pi\) | ||||
−0.800231 | + | 0.599693i | \(0.795290\pi\) | |||||||
\(648\) | −22.7780 | + | 11.3651i | −0.894803 | + | 0.446461i | ||||
\(649\) | 1.21078i | 0.0475272i | ||||||||
\(650\) | 39.5367 | − | 0.358956i | 1.55076 | − | 0.0140794i | ||||
\(651\) | −43.0451 | − | 22.4183i | −1.68707 | − | 0.878642i | ||||
\(652\) | −8.55564 | + | 8.87212i | −0.335065 | + | 0.347459i | ||||
\(653\) | 5.39824 | − | 20.1465i | 0.211249 | − | 0.788394i | −0.776204 | − | 0.630482i | \(-0.782857\pi\) |
0.987453 | − | 0.157912i | \(-0.0504761\pi\) | |||||||
\(654\) | −19.4866 | − | 9.92496i | −0.761987 | − | 0.388097i | ||||
\(655\) | 2.19305 | + | 1.26616i | 0.0856896 | + | 0.0494729i | ||||
\(656\) | −7.23953 | − | 11.5494i | −0.282656 | − | 0.450930i | ||||
\(657\) | 7.93100 | − | 5.54884i | 0.309418 | − | 0.216481i | ||||
\(658\) | 21.6540 | + | 5.59198i | 0.844162 | + | 0.217998i | ||||
\(659\) | −3.90477 | − | 14.5728i | −0.152108 | − | 0.567676i | −0.999336 | − | 0.0364452i | \(-0.988397\pi\) |
0.847227 | − | 0.531230i | \(-0.178270\pi\) | |||||||
\(660\) | 2.62404 | + | 1.30662i | 0.102141 | + | 0.0508600i | ||||
\(661\) | 2.44325 | − | 9.11835i | 0.0950316 | − | 0.354663i | −0.901993 | − | 0.431751i | \(-0.857896\pi\) |
0.997024 | + | 0.0770887i | \(0.0245625\pi\) | |||||||
\(662\) | 42.5647 | + | 24.0622i | 1.65432 | + | 0.935202i | ||||
\(663\) | 15.2154 | + | 13.9477i | 0.590918 | + | 0.541684i | ||||
\(664\) | −6.28366 | + | 11.6023i | −0.243853 | + | 0.450256i | ||||
\(665\) | 20.6706 | 0.801570 | ||||||||
\(666\) | −9.28731 | − | 13.0211i | −0.359876 | − | 0.504558i | ||||
\(667\) | 5.73833 | − | 5.73833i | 0.222189 | − | 0.222189i | ||||
\(668\) | 14.1651 | + | 23.5371i | 0.548064 | + | 0.910678i | ||||
\(669\) | 4.75830 | − | 3.03010i | 0.183966 | − | 0.117150i | ||||
\(670\) | 7.83778 | + | 28.2235i | 0.302800 | + | 1.09037i | ||||
\(671\) | −0.985698 | − | 1.70728i | −0.0380525 | − | 0.0659088i | ||||
\(672\) | −32.4755 | − | 5.67374i | −1.25277 | − | 0.218869i | ||||
\(673\) | −16.1140 | + | 27.9103i | −0.621149 | + | 1.07586i | 0.368123 | + | 0.929777i | \(0.380001\pi\) |
−0.989272 | + | 0.146085i | \(0.953333\pi\) | |||||||
\(674\) | 39.3516 | + | 10.1622i | 1.51577 | + | 0.391434i | ||||
\(675\) | 47.7343 | + | 19.8042i | 1.83729 | + | 0.762263i | ||||
\(676\) | −4.93689 | + | 8.92120i | −0.189880 | + | 0.343123i | ||||
\(677\) | −4.16296 | − | 15.5364i | −0.159996 | − | 0.597111i | −0.998626 | − | 0.0524101i | \(-0.983310\pi\) |
0.838630 | − | 0.544701i | \(-0.183357\pi\) | |||||||
\(678\) | −30.8109 | − | 27.7332i | −1.18328 | − | 1.06509i | ||||
\(679\) | −25.7025 | − | 44.5181i | −0.986372 | − | 1.70845i | ||||
\(680\) | −39.4993 | + | 24.2626i | −1.51473 | + | 0.930430i | ||||
\(681\) | 15.4617 | + | 3.43087i | 0.592494 | + | 0.131471i | ||||
\(682\) | 0.0234038 | + | 2.57778i | 0.000896177 | + | 0.0987081i | ||||
\(683\) | −28.6734 | − | 28.6734i | −1.09716 | − | 1.09716i | −0.994742 | − | 0.102416i | \(-0.967343\pi\) |
−0.102416 | − | 0.994742i | \(-0.532657\pi\) | |||||||
\(684\) | 9.41756 | + | 1.48847i | 0.360089 | + | 0.0569132i | ||||
\(685\) | −57.5322 | + | 57.5322i | −2.19819 | + | 2.19819i | ||||
\(686\) | 8.93074 | − | 9.09439i | 0.340977 | − | 0.347225i | ||||
\(687\) | 6.71160 | + | 6.15240i | 0.256064 | + | 0.234729i | ||||
\(688\) | 5.70435 | + | 18.5645i | 0.217476 | + | 0.707766i | ||||
\(689\) | −26.1058 | + | 15.0722i | −0.994552 | + | 0.574205i | ||||
\(690\) | −19.8585 | − | 30.5685i | −0.755999 | − | 1.16372i | ||||
\(691\) | 44.0504 | − | 11.8033i | 1.67575 | − | 0.449017i | 0.709102 | − | 0.705106i | \(-0.249101\pi\) |
0.966653 | + | 0.256089i | \(0.0824340\pi\) | |||||||
\(692\) | −2.99988 | − | 10.4341i | −0.114038 | − | 0.396645i | ||||
\(693\) | 2.07652 | − | 0.754895i | 0.0788804 | − | 0.0286761i | ||||
\(694\) | −8.13025 | − | 13.7913i | −0.308620 | − | 0.523511i | ||||
\(695\) | 22.3358 | + | 12.8956i | 0.847243 | + | 0.489156i | ||||
\(696\) | −8.55720 | + | 5.78269i | −0.324360 | + | 0.219192i | ||||
\(697\) | −12.5111 | + | 7.22328i | −0.473892 | + | 0.273601i | ||||
\(698\) | 13.8283 | + | 7.81726i | 0.523410 | + | 0.295888i | ||||
\(699\) | 11.3214 | − | 21.7380i | 0.428213 | − | 0.822208i | ||||
\(700\) | 34.5115 | + | 57.3452i | 1.30441 | + | 2.16744i | ||||
\(701\) | −13.0178 | − | 13.0178i | −0.491676 | − | 0.491676i | 0.417158 | − | 0.908834i | \(-0.363026\pi\) |
−0.908834 | + | 0.417158i | \(0.863026\pi\) | |||||||
\(702\) | 16.2806 | − | 12.7140i | 0.614472 | − | 0.479861i | ||||
\(703\) | 5.99049i | 0.225935i | ||||||||
\(704\) | 0.544635 | + | 1.66424i | 0.0205267 | + | 0.0627235i | ||||
\(705\) | −9.45784 | − | 30.0164i | −0.356203 | − | 1.13048i | ||||
\(706\) | −2.92576 | + | 0.812494i | −0.110112 | + | 0.0305786i | ||||
\(707\) | −0.436349 | − | 0.116919i | −0.0164106 | − | 0.00439721i | ||||
\(708\) | −12.6896 | + | 14.3578i | −0.476905 | + | 0.539601i | ||||
\(709\) | −16.3841 | + | 4.39011i | −0.615319 | + | 0.164874i | −0.552999 | − | 0.833182i | \(-0.686517\pi\) |
−0.0623199 | + | 0.998056i | \(0.519850\pi\) | |||||||
\(710\) | 20.9243 | + | 35.4938i | 0.785274 | + | 1.33206i | ||||
\(711\) | −1.49876 | − | 17.2064i | −0.0562079 | − | 0.645291i | ||||
\(712\) | 6.08224 | + | 5.75963i | 0.227942 | + | 0.215851i | ||||
\(713\) | 16.0285 | − | 27.7622i | 0.600273 | − | 1.03970i | ||||
\(714\) | −7.25897 | + | 34.1779i | −0.271660 | + | 1.27908i | ||||
\(715\) | −2.29767 | − | 0.615660i | −0.0859282 | − | 0.0230244i | ||||
\(716\) | 0.773939 | + | 0.746331i | 0.0289234 | + | 0.0278917i | ||||
\(717\) | −26.0094 | + | 1.13063i | −0.971339 | + | 0.0422242i | ||||
\(718\) | −11.1162 | − | 10.9162i | −0.414853 | − | 0.407387i | ||||
\(719\) | −43.0731 | −1.60635 | −0.803177 | − | 0.595740i | \(-0.796859\pi\) | ||||
−0.803177 | + | 0.595740i | \(0.796859\pi\) | |||||||
\(720\) | 17.4228 | + | 42.9957i | 0.649310 | + | 1.60235i | ||||
\(721\) | 27.5313 | 1.02532 | ||||||||
\(722\) | 16.6237 | + | 16.3246i | 0.618671 | + | 0.607538i | ||||
\(723\) | 13.3770 | + | 21.0065i | 0.497495 | + | 0.781240i | ||||
\(724\) | −9.79700 | + | 10.1594i | −0.364103 | + | 0.377571i | ||||
\(725\) | 20.2528 | + | 5.42673i | 0.752171 | + | 0.201544i | ||||
\(726\) | 19.9393 | + | 17.9476i | 0.740016 | + | 0.666097i | ||||
\(727\) | 15.3101 | − | 26.5179i | 0.567821 | − | 0.983495i | −0.428960 | − | 0.903324i | \(-0.641120\pi\) |
0.996781 | − | 0.0801716i | \(-0.0255468\pi\) | |||||||
\(728\) | 26.7424 | − | 0.728547i | 0.991138 | − | 0.0270017i | ||||
\(729\) | 26.0880 | − | 6.95830i | 0.966221 | − | 0.257715i | ||||
\(730\) | −8.95835 | − | 15.1960i | −0.331563 | − | 0.562430i | ||||
\(731\) | 19.8820 | − | 5.32737i | 0.735363 | − | 0.197040i | ||||
\(732\) | 6.20443 | − | 30.5762i | 0.229322 | − | 1.13013i | ||||
\(733\) | −2.53658 | − | 0.679676i | −0.0936909 | − | 0.0251044i | 0.211669 | − | 0.977341i | \(-0.432110\pi\) |
−0.305360 | + | 0.952237i | \(0.598777\pi\) | |||||||
\(734\) | −31.6838 | + | 8.79870i | −1.16947 | + | 0.324766i | ||||
\(735\) | 28.2489 | + | 6.26827i | 1.04197 | + | 0.231209i | ||||
\(736\) | 4.67566 | − | 21.2677i | 0.172347 | − | 0.783937i | ||||
\(737\) | − | 1.17271i | − | 0.0431972i | ||||||
\(738\) | 5.06280 | + | 13.5423i | 0.186364 | + | 0.498498i | ||||
\(739\) | 13.1402 | + | 13.1402i | 0.483370 | + | 0.483370i | 0.906206 | − | 0.422836i | \(-0.138965\pi\) |
−0.422836 | + | 0.906206i | \(0.638965\pi\) | |||||||
\(740\) | −24.9739 | + | 15.0298i | −0.918061 | + | 0.552507i | ||||
\(741\) | −7.72970 | + | 0.336011i | −0.283958 | + | 0.0123437i | ||||
\(742\) | −44.4209 | − | 25.1115i | −1.63074 | − | 0.921871i | ||||
\(743\) | −1.79055 | + | 1.03378i | −0.0656890 | + | 0.0379255i | −0.532485 | − | 0.846440i | \(-0.678742\pi\) |
0.466796 | + | 0.884365i | \(0.345408\pi\) | |||||||
\(744\) | −26.7389 | + | 30.8135i | −0.980297 | + | 1.12968i | ||||
\(745\) | −74.7897 | − | 43.1798i | −2.74008 | − | 1.58199i | ||||
\(746\) | −7.38343 | − | 12.5245i | −0.270327 | − | 0.458554i | ||||
\(747\) | 8.99989 | − | 10.7174i | 0.329289 | − | 0.392127i | ||||
\(748\) | 1.78363 | − | 0.512808i | 0.0652160 | − | 0.0187501i | ||||
\(749\) | 38.0958 | − | 10.2077i | 1.39199 | − | 0.372982i | ||||
\(750\) | 21.2556 | − | 41.7331i | 0.776143 | − | 1.52388i | ||||
\(751\) | 7.86676 | − | 4.54188i | 0.287062 | − | 0.165735i | −0.349554 | − | 0.936916i | \(-0.613667\pi\) |
0.636616 | + | 0.771181i | \(0.280334\pi\) | |||||||
\(752\) | 8.80258 | − | 16.6117i | 0.320997 | − | 0.605765i | ||||
\(753\) | −8.40489 | + | 2.64829i | −0.306291 | + | 0.0965091i | ||||
\(754\) | 5.87211 | − | 5.97971i | 0.213849 | − | 0.217768i | ||||
\(755\) | −54.5367 | + | 54.5367i | −1.98479 | + | 1.98479i | ||||
\(756\) | 32.5358 | + | 12.8112i | 1.18332 | + | 0.465939i | ||||
\(757\) | 18.3910 | + | 18.3910i | 0.668433 | + | 0.668433i | 0.957353 | − | 0.288920i | \(-0.0932961\pi\) |
−0.288920 | + | 0.957353i | \(0.593296\pi\) | |||||||
\(758\) | −0.111635 | − | 12.2959i | −0.00405476 | − | 0.446606i | ||||
\(759\) | 0.438586 | + | 1.39194i | 0.0159196 | + | 0.0505242i | ||||
\(760\) | 4.03848 | − | 16.9001i | 0.146491 | − | 0.613032i | ||||
\(761\) | 14.1080 | + | 24.4358i | 0.511415 | + | 0.885797i | 0.999912 | + | 0.0132318i | \(0.00421194\pi\) |
−0.488497 | + | 0.872565i | \(0.662455\pi\) | |||||||
\(762\) | −31.2216 | + | 10.1501i | −1.13104 | + | 0.367700i | ||||
\(763\) | 7.77481 | + | 29.0160i | 0.281467 | + | 1.05045i | ||||
\(764\) | −18.9186 | − | 10.4693i | −0.684451 | − | 0.378767i | ||||
\(765\) | 46.2091 | − | 16.7988i | 1.67069 | − | 0.607362i | ||||
\(766\) | −3.83869 | − | 0.991310i | −0.138697 | − | 0.0358175i | ||||
\(767\) | 7.77467 | − | 13.4661i | 0.280727 | − | 0.486234i | ||||
\(768\) | −10.9837 | + | 25.4433i | −0.396339 | + | 0.918104i | ||||
\(769\) | −14.6064 | − | 25.2991i | −0.526722 | − | 0.912309i | −0.999515 | − | 0.0311354i | \(-0.990088\pi\) |
0.472794 | − | 0.881173i | \(-0.343246\pi\) | |||||||
\(770\) | −1.07744 | − | 3.87980i | −0.0388281 | − | 0.139818i | ||||
\(771\) | −0.427898 | − | 9.84350i | −0.0154104 | − | 0.354505i | ||||
\(772\) | 8.91228 | − | 5.36358i | 0.320760 | − | 0.193040i | ||||
\(773\) | 10.5491 | − | 10.5491i | 0.379425 | − | 0.379425i | −0.491470 | − | 0.870895i | \(-0.663540\pi\) |
0.870895 | + | 0.491470i | \(0.163540\pi\) | |||||||
\(774\) | −1.97376 | − | 20.5045i | −0.0709453 | − | 0.737018i | ||||
\(775\) | 82.8256 | 2.97518 | ||||||||
\(776\) | −41.4193 | + | 12.3166i | −1.48687 | + | 0.442139i | ||||
\(777\) | −4.75923 | + | 21.4482i | −0.170736 | + | 0.769448i | ||||
\(778\) | −37.2137 | − | 21.0372i | −1.33418 | − | 0.754220i | ||||
\(779\) | 1.40154 | − | 5.23060i | 0.0502152 | − | 0.187406i | ||||
\(780\) | −20.7942 | − | 31.3816i | −0.744552 | − | 1.12364i | ||||
\(781\) | −0.426938 | − | 1.59335i | −0.0152770 | − | 0.0570146i | ||||
\(782\) | −22.3456 | − | 5.77058i | −0.799078 | − | 0.206356i | ||||
\(783\) | 10.1229 | − | 4.18627i | 0.361764 | − | 0.149605i | ||||
\(784\) | 9.18049 | + | 14.6459i | 0.327875 | + | 0.523068i | ||||
\(785\) | −49.8924 | − | 28.8054i | −1.78074 | − | 1.02811i | ||||
\(786\) | −0.0842312 | − | 1.60227i | −0.00300443 | − | 0.0571511i | ||||
\(787\) | −9.05729 | + | 33.8023i | −0.322857 | + | 1.20492i | 0.593591 | + | 0.804767i | \(0.297710\pi\) |
−0.916448 | + | 0.400153i | \(0.868957\pi\) | |||||||
\(788\) | −5.99698 | − | 5.78306i | −0.213634 | − | 0.206013i | ||||
\(789\) | −31.7815 | + | 20.2385i | −1.13145 | + | 0.720511i | ||||
\(790\) | −31.4750 | + | 0.285764i | −1.11983 | + | 0.0101670i | ||||
\(791\) | 56.9431i | 2.02466i | ||||||||
\(792\) | −0.211501 | − | 1.84523i | −0.00751535 | − | 0.0655675i | ||||
\(793\) | 25.3175i | 0.899052i | ||||||||
\(794\) | 0.0355501 | + | 3.91561i | 0.00126163 | + | 0.138960i | ||||
\(795\) | 3.11845 | + | 71.7379i | 0.110600 | + | 2.54428i | ||||
\(796\) | −0.0934284 | − | 5.14484i | −0.00331148 | − | 0.182354i | ||||
\(797\) | −7.41329 | + | 27.6668i | −0.262592 | + | 0.980007i | 0.701116 | + | 0.713048i | \(0.252686\pi\) |
−0.963708 | + | 0.266959i | \(0.913981\pi\) | |||||||
\(798\) | −7.13488 | − | 10.9829i | −0.252572 | − | 0.388789i | ||||
\(799\) | −17.2554 | − | 9.96243i | −0.610453 | − | 0.352445i | ||||
\(800\) | 53.6277 | − | 17.0126i | 1.89602 | − | 0.601487i | ||||
\(801\) | −5.09328 | − | 7.27986i | −0.179962 | − | 0.257221i | ||||
\(802\) | 11.7331 | − | 45.4344i | 0.414309 | − | 1.60435i | ||||
\(803\) | 0.182786 | + | 0.682165i | 0.00645036 | + | 0.0240731i | ||||
\(804\) | 12.2906 | − | 13.9064i | 0.433455 | − | 0.490440i | ||||
\(805\) | −12.9598 | + | 48.3667i | −0.456773 | + | 1.70470i | ||||
\(806\) | 16.2922 | − | 28.8200i | 0.573867 | − | 1.01514i | ||||
\(807\) | −17.3693 | + | 5.47289i | −0.611429 | + | 0.192655i | ||||
\(808\) | −0.180844 | + | 0.333913i | −0.00636205 | + | 0.0117470i | ||||
\(809\) | 39.9831 | 1.40573 | 0.702865 | − | 0.711323i | \(-0.251904\pi\) | ||||
0.702865 | + | 0.711323i | \(0.251904\pi\) | |||||||
\(810\) | −8.94721 | − | 48.3855i | −0.314373 | − | 1.70009i | ||||
\(811\) | −33.5121 | + | 33.5121i | −1.17677 | + | 1.17677i | −0.196204 | + | 0.980563i | \(0.562862\pi\) |
−0.980563 | + | 0.196204i | \(0.937138\pi\) | |||||||
\(812\) | 13.7678 | + | 3.42240i | 0.483156 | + | 0.120103i | ||||
\(813\) | 18.2614 | + | 9.51073i | 0.640457 | + | 0.333556i | ||||
\(814\) | 1.12440 | − | 0.312249i | 0.0394101 | − | 0.0109443i | ||||
\(815\) | −11.9123 | − | 20.6328i | −0.417271 | − | 0.722734i | ||||
\(816\) | 26.5254 | + | 12.6123i | 0.928576 | + | 0.441520i | ||||
\(817\) | −3.85771 | + | 6.68176i | −0.134964 | + | 0.233765i | ||||
\(818\) | −9.34868 | + | 36.2012i | −0.326869 | + | 1.26575i | ||||
\(819\) | −27.9421 | − | 4.93793i | −0.976377 | − | 0.172545i | ||||
\(820\) | 25.3224 | − | 7.28039i | 0.884297 | − | 0.254242i | ||||
\(821\) | −2.91908 | − | 10.8942i | −0.101877 | − | 0.380209i | 0.896096 | − | 0.443861i | \(-0.146392\pi\) |
−0.997972 | + | 0.0636527i | \(0.979725\pi\) | |||||||
\(822\) | 50.4270 | + | 10.7101i | 1.75884 | + | 0.373556i | ||||
\(823\) | 27.4702 | + | 47.5798i | 0.957551 | + | 1.65853i | 0.728420 | + | 0.685131i | \(0.240255\pi\) |
0.229131 | + | 0.973396i | \(0.426412\pi\) | |||||||
\(824\) | 5.37888 | − | 22.5094i | 0.187382 | − | 0.784152i | ||||
\(825\) | −2.54794 | + | 2.77953i | −0.0887080 | + | 0.0967708i | ||||
\(826\) | 26.3203 | − | 0.238964i | 0.915801 | − | 0.00831462i | ||||
\(827\) | −14.2104 | − | 14.2104i | −0.494144 | − | 0.494144i | 0.415465 | − | 0.909609i | \(-0.363619\pi\) |
−0.909609 | + | 0.415465i | \(0.863619\pi\) | |||||||
\(828\) | −9.38737 | + | 21.1027i | −0.326234 | + | 0.733371i | ||||
\(829\) | 6.15512 | − | 6.15512i | 0.213776 | − | 0.213776i | −0.592093 | − | 0.805869i | \(-0.701698\pi\) |
0.805869 | + | 0.592093i | \(0.201698\pi\) | |||||||
\(830\) | −18.1977 | − | 17.8703i | −0.631652 | − | 0.620286i | ||||
\(831\) | 3.88757 | − | 17.5199i | 0.134858 | − | 0.607759i | ||||
\(832\) | 4.62909 | − | 22.0067i | 0.160485 | − | 0.762946i | ||||
\(833\) | 15.8654 | − | 9.15989i | 0.549704 | − | 0.317371i | ||||
\(834\) | −0.857877 | − | 16.3188i | −0.0297058 | − | 0.565073i | ||||
\(835\) | −51.2913 | + | 13.7435i | −1.77501 | + | 0.475612i | ||||
\(836\) | −0.336832 | + | 0.608672i | −0.0116496 | + | 0.0210513i | ||||
\(837\) | 34.3453 | − | 26.3229i | 1.18715 | − | 0.909853i | ||||
\(838\) | 0.629969 | − | 0.371379i | 0.0217619 | − | 0.0128291i | ||||
\(839\) | −21.5384 | − | 12.4352i | −0.743590 | − | 0.429312i | 0.0797833 | − | 0.996812i | \(-0.474577\pi\) |
−0.823373 | + | 0.567500i | \(0.807911\pi\) | |||||||
\(840\) | 27.8858 | − | 57.3002i | 0.962151 | − | 1.97705i | ||||
\(841\) | −21.2658 | + | 12.2778i | −0.733303 | + | 0.423373i | ||||
\(842\) | −9.25956 | + | 16.3797i | −0.319105 | + | 0.564481i | ||||
\(843\) | 13.1297 | + | 20.6181i | 0.452210 | + | 0.710127i | ||||
\(844\) | 35.3051 | + | 8.77615i | 1.21525 | + | 0.302087i | ||||
\(845\) | −13.9363 | − | 13.9363i | −0.479424 | − | 0.479424i | ||||
\(846\) | −12.6840 | + | 15.3860i | −0.436084 | + | 0.528981i | ||||
\(847\) | − | 36.8507i | − | 1.26621i | ||||||
\(848\) | −29.2096 | + | 31.4121i | −1.00306 | + | 1.07870i | ||||
\(849\) | 15.5036 | − | 16.9128i | 0.532083 | − | 0.580444i | ||||
\(850\) | −15.9552 | − | 57.4541i | −0.547260 | − | 1.97066i | ||||
\(851\) | −14.0170 | − | 3.75585i | −0.480497 | − | 0.128749i | ||||
\(852\) | 11.6364 | − | 23.3691i | 0.398657 | − | 0.800612i | ||||
\(853\) | 18.8477 | − | 5.05023i | 0.645334 | − | 0.172917i | 0.0787157 | − | 0.996897i | \(-0.474918\pi\) |
0.566618 | + | 0.823980i | \(0.308251\pi\) | |||||||
\(854\) | −36.9189 | + | 21.7644i | −1.26334 | + | 0.744763i | ||||
\(855\) | −7.79521 | + | 16.7003i | −0.266590 | + | 0.571137i | ||||
\(856\) | −0.902871 | − | 33.1412i | −0.0308595 | − | 1.13274i | ||||
\(857\) | 18.6982 | − | 32.3862i | 0.638717 | − | 1.10629i | −0.346998 | − | 0.937866i | \(-0.612799\pi\) |
0.985715 | − | 0.168424i | \(-0.0538679\pi\) | |||||||
\(858\) | 0.465973 | + | 1.43333i | 0.0159080 | + | 0.0489330i | ||||
\(859\) | 26.5180 | + | 7.10549i | 0.904784 | + | 0.242436i | 0.681070 | − | 0.732219i | \(-0.261515\pi\) |
0.223714 | + | 0.974655i | \(0.428182\pi\) | |||||||
\(860\) | −37.5346 | + | 0.681614i | −1.27992 | + | 0.0232429i | ||||
\(861\) | 9.17354 | − | 17.6140i | 0.312634 | − | 0.600284i | ||||
\(862\) | 8.53276 | − | 8.68912i | 0.290627 | − | 0.295953i | ||||
\(863\) | 10.1797 | 0.346520 | 0.173260 | − | 0.984876i | \(-0.444570\pi\) | ||||
0.173260 | + | 0.984876i | \(0.444570\pi\) | |||||||
\(864\) | 16.8310 | − | 24.0981i | 0.572602 | − | 0.819834i | ||||
\(865\) | 20.9860 | 0.713545 | ||||||||
\(866\) | −6.38100 | + | 6.49793i | −0.216835 | + | 0.220808i | ||||
\(867\) | 0.777892 | − | 1.49362i | 0.0264186 | − | 0.0507261i | ||||
\(868\) | 56.0320 | − | 1.01752i | 1.90185 | − | 0.0345369i | ||||
\(869\) | 1.21723 | + | 0.326156i | 0.0412918 | + | 0.0110641i | ||||
\(870\) | −6.17218 | − | 18.9856i | −0.209256 | − | 0.643671i | ||||
\(871\) | −7.53020 | + | 13.0427i | −0.255151 | + | 0.441935i | ||||
\(872\) | 25.2423 | − | 0.687680i | 0.854811 | − | 0.0232878i | ||||
\(873\) | 45.6601 | − | 3.97721i | 1.54536 | − | 0.134608i | ||||
\(874\) | 7.45221 | − | 4.39322i | 0.252075 | − | 0.148603i | ||||
\(875\) | −62.1414 | + | 16.6507i | −2.10076 | + | 0.562897i | ||||
\(876\) | −4.98192 | + | 10.0050i | −0.168323 | + | 0.338039i | ||||
\(877\) | 25.7779 | + | 6.90717i | 0.870458 | + | 0.233239i | 0.666286 | − | 0.745696i | \(-0.267883\pi\) |
0.204172 | + | 0.978935i | \(0.434550\pi\) | |||||||
\(878\) | 10.9368 | + | 39.3831i | 0.369101 | + | 1.32912i | ||||
\(879\) | −35.9960 | + | 39.2677i | −1.21411 | + | 1.32447i | ||||
\(880\) | −3.38261 | + | 0.122894i | −0.114028 | + | 0.00414276i | ||||
\(881\) | − | 30.7798i | − | 1.03700i | −0.855078 | − | 0.518499i | \(-0.826491\pi\) | ||
0.855078 | − | 0.518499i | \(-0.173509\pi\) | |||||||
\(882\) | −6.42017 | − | 17.1730i | −0.216178 | − | 0.578246i | ||||
\(883\) | −19.8089 | − | 19.8089i | −0.666622 | − | 0.666622i | 0.290310 | − | 0.956933i | \(-0.406241\pi\) |
−0.956933 | + | 0.290310i | \(0.906241\pi\) | |||||||
\(884\) | −23.1302 | − | 5.74970i | −0.777952 | − | 0.193383i | ||||
\(885\) | −19.8953 | − | 31.2425i | −0.668774 | − | 1.05021i | ||||
\(886\) | 22.4698 | − | 39.7479i | 0.754888 | − | 1.33536i | ||||
\(887\) | 21.0940 | − | 12.1786i | 0.708266 | − | 0.408918i | −0.102153 | − | 0.994769i | \(-0.532573\pi\) |
0.810419 | + | 0.585851i | \(0.199240\pi\) | |||||||
\(888\) | 16.6060 | + | 8.08151i | 0.557262 | + | 0.271198i | ||||
\(889\) | 39.0550 | + | 22.5484i | 1.30986 | + | 0.756249i | ||||
\(890\) | −13.9484 | + | 8.22287i | −0.467552 | + | 0.275631i | ||||
\(891\) | −0.173190 | + | 1.96235i | −0.00580210 | + | 0.0657413i | ||||
\(892\) | −3.15397 | + | 5.69938i | −0.105603 | + | 0.190829i | ||||
\(893\) | 7.21410 | − | 1.93301i | 0.241411 | − | 0.0646858i | ||||
\(894\) | 2.87254 | + | 54.6423i | 0.0960721 | + | 1.82751i | ||||
\(895\) | −1.79985 | + | 1.03914i | −0.0601624 | + | 0.0347348i | ||||
\(896\) | 36.0704 | − | 12.1679i | 1.20503 | − | 0.406502i | ||||
\(897\) | 4.06006 | − | 18.2972i | 0.135561 | − | 0.610927i | ||||
\(898\) | −10.8065 | − | 10.6120i | −0.360618 | − | 0.354128i | ||||
\(899\) | 12.4142 | − | 12.4142i | 0.414037 | − | 0.414037i | ||||
\(900\) | −59.3454 | + | 6.25685i | −1.97818 | + | 0.208562i | ||||
\(901\) | 32.1460 | + | 32.1460i | 1.07094 | + | 1.07094i | ||||
\(902\) | −1.05482 | + | 0.00957680i | −0.0351218 | + | 0.000318873i | ||||
\(903\) | −19.1205 | + | 20.8583i | −0.636289 | + | 0.694122i | ||||
\(904\) | 46.5563 | + | 11.1252i | 1.54844 | + | 0.370017i | ||||
\(905\) | −13.6407 | − | 23.6264i | −0.453433 | − | 0.785369i | ||||
\(906\) | 47.8014 | + | 10.1524i | 1.58809 | + | 0.337292i | ||||
\(907\) | −15.0239 | − | 56.0698i | −0.498859 | − | 1.86177i | −0.507245 | − | 0.861802i | \(-0.669336\pi\) |
0.00838605 | − | 0.999965i | \(-0.497331\pi\) | |||||||
\(908\) | −17.5759 | + | 5.05321i | −0.583277 | + | 0.167697i | ||||
\(909\) | 0.259016 | − | 0.308445i | 0.00859103 | − | 0.0102305i | ||||
\(910\) | −12.9300 | + | 50.0692i | −0.428624 | + | 1.65978i | ||||
\(911\) | −11.9347 | + | 20.6715i | −0.395414 | + | 0.684877i | −0.993154 | − | 0.116813i | \(-0.962732\pi\) |
0.597740 | + | 0.801690i | \(0.296066\pi\) | |||||||
\(912\) | −10.3735 | + | 3.68767i | −0.343500 | + | 0.122111i | ||||
\(913\) | 0.510553 | + | 0.884303i | 0.0168968 | + | 0.0292662i | ||||
\(914\) | −20.6684 | + | 5.73970i | −0.683651 | + | 0.189852i | ||||
\(915\) | 53.4884 | + | 27.8572i | 1.76827 | + | 0.920932i | ||||
\(916\) | −10.2028 | − | 2.53622i | −0.337111 | − | 0.0837991i | ||||
\(917\) | −1.55845 | + | 1.55845i | −0.0514646 | + | 0.0514646i | ||||
\(918\) | −24.8757 | − | 18.7537i | −0.821021 | − | 0.618966i | ||||
\(919\) | −15.7779 | −0.520466 | −0.260233 | − | 0.965546i | \(-0.583799\pi\) | ||||
−0.260233 | + | 0.965546i | \(0.583799\pi\) | |||||||
\(920\) | 37.0123 | + | 20.0454i | 1.22026 | + | 0.660878i | ||||
\(921\) | −55.6284 | + | 17.5279i | −1.83302 | + | 0.577565i | ||||
\(922\) | 8.33599 | − | 14.7459i | 0.274531 | − | 0.485631i | ||||
\(923\) | −5.48292 | + | 20.4625i | −0.180473 | + | 0.673533i | ||||
\(924\) | −1.68955 | + | 1.91167i | −0.0555821 | + | 0.0628893i | ||||
\(925\) | −9.70397 | − | 36.2157i | −0.319065 | − | 1.19077i | ||||
\(926\) | 0.830355 | − | 3.21541i | 0.0272872 | − | 0.105665i | ||||
\(927\) | −10.3825 | + | 22.2432i | −0.341006 | + | 0.730562i | ||||
\(928\) | 5.48800 | − | 10.5878i | 0.180152 | − | 0.347563i | ||||
\(929\) | 14.3132 | + | 8.26371i | 0.469600 | + | 0.271123i | 0.716072 | − | 0.698026i | \(-0.245938\pi\) |
−0.246472 | + | 0.969150i | \(0.579271\pi\) | |||||||
\(930\) | −42.9615 | − | 66.1315i | −1.40876 | − | 2.16854i | ||||
\(931\) | −1.77730 | + | 6.63296i | −0.0582485 | + | 0.217387i | ||||
\(932\) | 0.513853 | + | 28.2965i | 0.0168318 | + | 0.926881i | ||||
\(933\) | −0.799912 | − | 18.4014i | −0.0261879 | − | 0.602436i | ||||
\(934\) | 0.438517 | + | 48.2998i | 0.0143487 | + | 1.58042i | ||||
\(935\) | 3.58740i | 0.117320i | ||||||||
\(936\) | −9.49637 | + | 21.8806i | −0.310398 | + | 0.715188i | ||||
\(937\) | − | 5.92940i | − | 0.193705i | −0.995299 | − | 0.0968526i | \(-0.969122\pi\) | ||
0.995299 | − | 0.0968526i | \(-0.0308775\pi\) | |||||||
\(938\) | −25.4927 | + | 0.231450i | −0.832366 | + | 0.00755710i | ||||
\(939\) | 27.7735 | − | 17.6862i | 0.906354 | − | 0.577169i | ||||
\(940\) | 26.1584 | + | 25.2253i | 0.853193 | + | 0.822758i | ||||
\(941\) | −5.52232 | + | 20.6096i | −0.180022 | + | 0.671853i | 0.815619 | + | 0.578589i | \(0.196397\pi\) |
−0.995641 | + | 0.0932635i | \(0.970270\pi\) | |||||||
\(942\) | 1.91628 | + | 36.4520i | 0.0624358 | + | 1.18767i | ||||
\(943\) | 11.3603 | + | 6.55886i | 0.369941 | + | 0.213586i | ||||
\(944\) | 4.94692 | − | 21.5660i | 0.161008 | − | 0.701914i | ||||
\(945\) | −41.1775 | + | 53.6001i | −1.33950 | + | 1.74361i | ||||
\(946\) | 1.45523 | + | 0.375800i | 0.0473135 | + | 0.0122183i | ||||
\(947\) | −8.57071 | − | 31.9863i | −0.278511 | − | 1.03942i | −0.953452 | − | 0.301545i | \(-0.902498\pi\) |
0.674941 | − | 0.737871i | \(-0.264169\pi\) | |||||||
\(948\) | 11.0161 | + | 16.6249i | 0.357786 | + | 0.539953i | ||||
\(949\) | 2.34741 | − | 8.76066i | 0.0762002 | − | 0.284383i | ||||
\(950\) | 19.4572 | + | 10.9993i | 0.631274 | + | 0.356864i | ||||
\(951\) | 4.61279 | − | 20.7882i | 0.149580 | − | 0.674105i | ||||
\(952\) | −11.4996 | − | 38.6720i | −0.372705 | − | 1.25337i | ||||
\(953\) | 0.546564 | 0.0177049 | 0.00885247 | − | 0.999961i | \(-0.497182\pi\) | ||||
0.00885247 | + | 0.999961i | \(0.497182\pi\) | |||||||
\(954\) | 37.0400 | − | 26.4188i | 1.19921 | − | 0.855339i | ||||
\(955\) | 29.5538 | − | 29.5538i | 0.956339 | − | 0.956339i | ||||
\(956\) | 25.7568 | − | 15.5009i | 0.833034 | − | 0.501336i | ||||
\(957\) | 0.0347109 | + | 0.798502i | 0.00112205 | + | 0.0258119i | ||||
\(958\) | −1.82332 | − | 6.56570i | −0.0589088 | − | 0.212128i | ||||
\(959\) | −35.4068 | − | 61.3264i | −1.14335 | − | 1.98033i | ||||
\(960\) | −41.4002 | − | 33.9942i | −1.33618 | − | 1.09716i | ||||
\(961\) | 19.1758 | − | 33.2135i | 0.618576 | − | 1.07140i | ||||
\(962\) | −14.5104 | − | 3.74720i | −0.467835 | − | 0.120815i | ||||
\(963\) | −6.11946 | + | 34.6280i | −0.197197 | + | 1.11587i | ||||
\(964\) | −25.1611 | − | 13.9239i | −0.810384 | − | 0.448457i | ||||
\(965\) | 5.20393 | + | 19.4213i | 0.167521 | + | 0.625195i | ||||
\(966\) | 30.1719 | − | 9.80885i | 0.970766 | − | 0.315594i | ||||
\(967\) | −7.49046 | − | 12.9739i | −0.240877 | − | 0.417211i | 0.720087 | − | 0.693883i | \(-0.244102\pi\) |
−0.960964 | + | 0.276672i | \(0.910768\pi\) | |||||||
\(968\) | −30.1289 | − | 7.19965i | −0.968380 | − | 0.231406i | ||||
\(969\) | 3.50660 | + | 11.1289i | 0.112648 | + | 0.357512i | ||||
\(970\) | −0.758322 | − | 83.5242i | −0.0243482 | − | 2.68180i | ||||
\(971\) | 29.4725 | + | 29.4725i | 0.945816 | + | 0.945816i | 0.998606 | − | 0.0527896i | \(-0.0168113\pi\) |
−0.0527896 | + | 0.998606i | \(0.516811\pi\) | |||||||
\(972\) | −22.6203 | + | 21.4552i | −0.725545 | + | 0.688175i | ||||
\(973\) | −15.8725 | + | 15.8725i | −0.508849 | + | 0.508849i | ||||
\(974\) | −37.1622 | + | 37.8431i | −1.19075 | + | 1.21257i | ||||
\(975\) | 46.1859 | − | 14.5527i | 1.47913 | − | 0.466059i | ||||
\(976\) | 10.5815 | + | 34.4368i | 0.338704 | + | 1.10230i | ||||
\(977\) | 2.02199 | − | 1.16740i | 0.0646892 | − | 0.0373483i | −0.467307 | − | 0.884095i | \(-0.654776\pi\) |
0.531996 | + | 0.846747i | \(0.321442\pi\) | |||||||
\(978\) | −6.85098 | + | 13.4512i | −0.219070 | + | 0.430122i | ||||
\(979\) | 0.626159 | − | 0.167779i | 0.0200121 | − | 0.00536224i | ||||
\(980\) | −32.1115 | + | 9.23231i | −1.02577 | + | 0.294915i | ||||
\(981\) | −26.3747 | − | 4.66094i | −0.842080 | − | 0.148812i | ||||
\(982\) | −1.40015 | − | 2.37506i | −0.0446805 | − | 0.0757913i | ||||
\(983\) | 21.5089 | + | 12.4182i | 0.686029 | + | 0.396079i | 0.802123 | − | 0.597159i | \(-0.203704\pi\) |
−0.116094 | + | 0.993238i | \(0.537037\pi\) | |||||||
\(984\) | −12.6088 | − | 10.9415i | −0.401955 | − | 0.348804i | ||||
\(985\) | 13.9464 | − | 8.05197i | 0.444370 | − | 0.256557i | ||||
\(986\) | −11.0029 | − | 6.22001i | −0.350403 | − | 0.198085i | ||||
\(987\) | 27.3649 | − | 1.18955i | 0.871033 | − | 0.0378639i | ||||
\(988\) | 7.65462 | − | 4.60670i | 0.243526 | − | 0.146559i | ||||
\(989\) | −13.2158 | − | 13.2158i | −0.420240 | − | 0.420240i | ||||
\(990\) | 3.54091 | + | 0.592650i | 0.112537 | + | 0.0188356i | ||||
\(991\) | − | 7.12527i | − | 0.226342i | −0.993576 | − | 0.113171i | \(-0.963899\pi\) | ||
0.993576 | − | 0.113171i | \(-0.0361008\pi\) | |||||||
\(992\) | 10.1152 | − | 46.0102i | 0.321159 | − | 1.46082i | ||||
\(993\) | 58.4622 | + | 12.9724i | 1.85524 | + | 0.411668i | ||||
\(994\) | −34.5526 | + | 9.59539i | −1.09594 | + | 0.304347i | ||||
\(995\) | 9.60763 | + | 2.57436i | 0.304582 | + | 0.0816126i | ||||
\(996\) | −3.21365 | + | 15.8373i | −0.101828 | + | 0.501823i | ||||
\(997\) | −47.5897 | + | 12.7516i | −1.50718 | + | 0.403848i | −0.915498 | − | 0.402322i | \(-0.868203\pi\) |
−0.591684 | + | 0.806170i | \(0.701537\pi\) | |||||||
\(998\) | −8.08908 | − | 13.7215i | −0.256055 | − | 0.434346i | ||||
\(999\) | −15.5337 | − | 11.9335i | −0.491465 | − | 0.377561i |
(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 | 144.2.u.a.11.7 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.16 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.15 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.9 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.14 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.1 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.14 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.3 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.3 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.1 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.1 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.9 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.1 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.16 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.15 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.7 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.7 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.14 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.14 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.7 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.9 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.16 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.16 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.9 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.3 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.15 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.15 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.3 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.1 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.1 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.1 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.1 | 88 | 144.13 | even | 12 |