Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [130,3,Mod(19,130)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(130, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("130.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 130 = 2 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 130.t (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: | \(3.54224343668\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 89.5 | ||
Character | \(\chi\) | \(=\) | 130.89 |
Dual form | 130.3.t.b.19.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/130\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 2.81963 | − | 1.62791i | 0.939876 | − | 0.542638i | 0.0499545 | − | 0.998751i | \(-0.484092\pi\) |
0.889921 | + | 0.456114i | \(0.150759\pi\) | |||||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −1.01577 | + | 4.89573i | −0.203155 | + | 0.979147i | ||||
\(6\) | 4.44754 | − | 1.19171i | 0.741257 | − | 0.198619i | ||||
\(7\) | 3.91361 | − | 1.04865i | 0.559087 | − | 0.149807i | 0.0318004 | − | 0.999494i | \(-0.489876\pi\) |
0.527287 | + | 0.849687i | \(0.323209\pi\) | |||||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.800200 | − | 1.38599i | 0.0889111 | − | 0.153999i | ||||
\(10\) | −3.17954 | + | 6.31590i | −0.317954 | + | 0.631590i | ||||
\(11\) | −3.41804 | − | 0.915862i | −0.310731 | − | 0.0832602i | 0.100083 | − | 0.994979i | \(-0.468089\pi\) |
−0.410815 | + | 0.911719i | \(0.634756\pi\) | |||||||
\(12\) | 6.51165 | 0.542638 | ||||||||
\(13\) | −1.34302 | − | 12.9304i | −0.103309 | − | 0.994649i | ||||
\(14\) | 5.72993 | 0.409280 | ||||||||
\(15\) | 5.10572 | + | 15.4577i | 0.340381 | + | 1.03052i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 14.4164 | − | 24.9700i | 0.848024 | − | 1.46882i | −0.0349446 | − | 0.999389i | \(-0.511125\pi\) |
0.882969 | − | 0.469432i | \(-0.155541\pi\) | |||||||
\(18\) | 1.60040 | − | 1.60040i | 0.0889111 | − | 0.0889111i | ||||
\(19\) | −35.3880 | + | 9.48220i | −1.86253 | + | 0.499063i | −0.999976 | − | 0.00690400i | \(-0.997802\pi\) |
−0.862553 | + | 0.505967i | \(0.831136\pi\) | |||||||
\(20\) | −6.65511 | + | 7.46388i | −0.332755 | + | 0.373194i | ||||
\(21\) | 9.32782 | − | 9.32782i | 0.444182 | − | 0.444182i | ||||
\(22\) | −4.33391 | − | 2.50218i | −0.196996 | − | 0.113736i | ||||
\(23\) | −2.41694 | − | 4.18626i | −0.105084 | − | 0.182011i | 0.808688 | − | 0.588237i | \(-0.200178\pi\) |
−0.913773 | + | 0.406226i | \(0.866845\pi\) | |||||||
\(24\) | 8.89508 | + | 2.38343i | 0.370628 | + | 0.0993096i | ||||
\(25\) | −22.9364 | − | 9.94592i | −0.917456 | − | 0.397837i | ||||
\(26\) | 2.89827 | − | 18.1549i | 0.111472 | − | 0.698265i | ||||
\(27\) | 24.0918i | 0.892289i | ||||||||
\(28\) | 7.82722 | + | 2.09730i | 0.279544 | + | 0.0749035i | ||||
\(29\) | 16.0797 | + | 27.8508i | 0.554472 | + | 0.960374i | 0.997944 | + | 0.0640859i | \(0.0204132\pi\) |
−0.443472 | + | 0.896288i | \(0.646253\pi\) | |||||||
\(30\) | 1.31662 | + | 22.9845i | 0.0438873 | + | 0.766149i | ||||
\(31\) | −5.98260 | − | 5.98260i | −0.192987 | − | 0.192987i | 0.603998 | − | 0.796986i | \(-0.293573\pi\) |
−0.796986 | + | 0.603998i | \(0.793573\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −11.1286 | + | 2.98189i | −0.337229 | + | 0.0903602i | ||||
\(34\) | 28.8328 | − | 28.8328i | 0.848024 | − | 0.848024i | ||||
\(35\) | 1.15856 | + | 20.2252i | 0.0331017 | + | 0.577863i | ||||
\(36\) | 2.77197 | − | 1.60040i | 0.0769993 | − | 0.0444556i | ||||
\(37\) | −10.3267 | + | 38.5399i | −0.279101 | + | 1.04162i | 0.673942 | + | 0.738784i | \(0.264600\pi\) |
−0.953043 | + | 0.302835i | \(0.902067\pi\) | |||||||
\(38\) | −51.8117 | −1.36347 | ||||||||
\(39\) | −24.8364 | − | 34.2727i | −0.636832 | − | 0.878788i | ||||
\(40\) | −11.8230 | + | 7.75992i | −0.295575 | + | 0.193998i | ||||
\(41\) | 4.98568 | − | 18.6068i | 0.121602 | − | 0.453825i | −0.878094 | − | 0.478488i | \(-0.841185\pi\) |
0.999696 | + | 0.0246638i | \(0.00785152\pi\) | |||||||
\(42\) | 16.1563 | − | 9.32782i | 0.384673 | − | 0.222091i | ||||
\(43\) | 9.17087 | − | 15.8844i | 0.213276 | − | 0.369405i | −0.739462 | − | 0.673199i | \(-0.764920\pi\) |
0.952738 | + | 0.303793i | \(0.0982533\pi\) | |||||||
\(44\) | −5.00436 | − | 5.00436i | −0.113736 | − | 0.113736i | ||||
\(45\) | 5.97260 | + | 5.32542i | 0.132724 | + | 0.118343i | ||||
\(46\) | −1.76932 | − | 6.60320i | −0.0384635 | − | 0.143548i | ||||
\(47\) | −32.9600 | − | 32.9600i | −0.701277 | − | 0.701277i | 0.263408 | − | 0.964685i | \(-0.415154\pi\) |
−0.964685 | + | 0.263408i | \(0.915154\pi\) | |||||||
\(48\) | 11.2785 | + | 6.51165i | 0.234969 | + | 0.135659i | ||||
\(49\) | −28.2186 | + | 16.2920i | −0.575889 | + | 0.332490i | ||||
\(50\) | −27.6913 | − | 21.9817i | −0.553825 | − | 0.439634i | ||||
\(51\) | − | 93.8746i | − | 1.84068i | ||||||
\(52\) | 10.6043 | − | 23.7392i | 0.203928 | − | 0.456523i | ||||
\(53\) | − | 45.3164i | − | 0.855027i | −0.904009 | − | 0.427513i | \(-0.859390\pi\) | ||
0.904009 | − | 0.427513i | \(-0.140610\pi\) | |||||||
\(54\) | −8.81821 | + | 32.9100i | −0.163300 | + | 0.609445i | ||||
\(55\) | 7.95578 | − | 15.8035i | 0.144651 | − | 0.287337i | ||||
\(56\) | 9.92452 | + | 5.72993i | 0.177224 | + | 0.102320i | ||||
\(57\) | −84.3449 | + | 84.3449i | −1.47974 | + | 1.47974i | ||||
\(58\) | 11.7712 | + | 43.9305i | 0.202951 | + | 0.757423i | ||||
\(59\) | 20.3356 | + | 75.8934i | 0.344671 | + | 1.28633i | 0.892996 | + | 0.450064i | \(0.148599\pi\) |
−0.548326 | + | 0.836265i | \(0.684735\pi\) | |||||||
\(60\) | −6.61437 | + | 31.8793i | −0.110239 | + | 0.531322i | ||||
\(61\) | 36.9209 | − | 63.9489i | 0.605261 | − | 1.04834i | −0.386750 | − | 0.922185i | \(-0.626402\pi\) |
0.992010 | − | 0.126157i | \(-0.0402644\pi\) | |||||||
\(62\) | −5.98260 | − | 10.3622i | −0.0964935 | − | 0.167132i | ||||
\(63\) | 1.67826 | − | 6.26334i | 0.0266390 | − | 0.0994182i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | 64.6682 | + | 6.55936i | 0.994895 | + | 0.100913i | ||||
\(66\) | −16.2933 | −0.246869 | ||||||||
\(67\) | −22.4848 | − | 6.02479i | −0.335595 | − | 0.0899223i | 0.0870866 | − | 0.996201i | \(-0.472244\pi\) |
−0.422681 | + | 0.906278i | \(0.638911\pi\) | |||||||
\(68\) | 49.9399 | − | 28.8328i | 0.734410 | − | 0.424012i | ||||
\(69\) | −13.6297 | − | 7.86913i | −0.197532 | − | 0.114045i | ||||
\(70\) | −5.82031 | + | 28.0522i | −0.0831473 | + | 0.400745i | ||||
\(71\) | 94.9588 | − | 25.4441i | 1.33745 | − | 0.358368i | 0.481961 | − | 0.876193i | \(-0.339925\pi\) |
0.855487 | + | 0.517824i | \(0.173258\pi\) | |||||||
\(72\) | 4.37237 | − | 1.17157i | 0.0607274 | − | 0.0162719i | ||||
\(73\) | 71.9561 | + | 71.9561i | 0.985700 | + | 0.985700i | 0.999899 | − | 0.0141988i | \(-0.00451978\pi\) |
−0.0141988 | + | 0.999899i | \(0.504520\pi\) | |||||||
\(74\) | −28.2132 | + | 48.8667i | −0.381259 | + | 0.660360i | ||||
\(75\) | −80.8632 | + | 9.29467i | −1.07818 | + | 0.123929i | ||||
\(76\) | −70.7761 | − | 18.9644i | −0.931264 | − | 0.249532i | ||||
\(77\) | −14.3373 | −0.186199 | ||||||||
\(78\) | −21.3825 | − | 55.9082i | −0.274135 | − | 0.716771i | ||||
\(79\) | 3.01140 | 0.0381190 | 0.0190595 | − | 0.999818i | \(-0.493933\pi\) | ||||
0.0190595 | + | 0.999818i | \(0.493933\pi\) | |||||||
\(80\) | −18.9909 | + | 6.27272i | −0.237386 | + | 0.0784090i | ||||
\(81\) | 46.4212 | + | 80.4038i | 0.573101 | + | 0.992640i | ||||
\(82\) | 13.6211 | − | 23.5925i | 0.166111 | − | 0.287713i | ||||
\(83\) | −7.10792 | + | 7.10792i | −0.0856376 | + | 0.0856376i | −0.748628 | − | 0.662990i | \(-0.769287\pi\) |
0.662990 | + | 0.748628i | \(0.269287\pi\) | |||||||
\(84\) | 25.4841 | − | 6.82844i | 0.303382 | − | 0.0812909i | ||||
\(85\) | 107.602 | + | 95.9427i | 1.26591 | + | 1.12874i | ||||
\(86\) | 18.3417 | − | 18.3417i | 0.213276 | − | 0.213276i | ||||
\(87\) | 90.6775 | + | 52.3527i | 1.04227 | + | 0.601755i | ||||
\(88\) | −5.00436 | − | 8.66781i | −0.0568678 | − | 0.0984979i | ||||
\(89\) | 28.7550 | + | 7.70487i | 0.323089 | + | 0.0865716i | 0.416718 | − | 0.909036i | \(-0.363180\pi\) |
−0.0936290 | + | 0.995607i | \(0.529847\pi\) | |||||||
\(90\) | 6.20949 | + | 9.46078i | 0.0689943 | + | 0.105120i | ||||
\(91\) | −18.8155 | − | 49.1964i | −0.206764 | − | 0.540619i | ||||
\(92\) | − | 9.66775i | − | 0.105084i | ||||||
\(93\) | −26.6079 | − | 7.12955i | −0.286106 | − | 0.0766619i | ||||
\(94\) | −32.9600 | − | 57.0884i | −0.350639 | − | 0.607324i | ||||
\(95\) | −10.4760 | − | 182.882i | −0.110274 | − | 1.92508i | ||||
\(96\) | 13.0233 | + | 13.0233i | 0.135659 | + | 0.135659i | ||||
\(97\) | 18.2274 | + | 68.0258i | 0.187912 | + | 0.701296i | 0.993988 | + | 0.109485i | \(0.0349202\pi\) |
−0.806077 | + | 0.591811i | \(0.798413\pi\) | |||||||
\(98\) | −44.5105 | + | 11.9266i | −0.454189 | + | 0.121700i | ||||
\(99\) | −4.00449 | + | 4.00449i | −0.0404494 | + | 0.0404494i | ||||
\(100\) | −29.7811 | − | 40.1632i | −0.297811 | − | 0.401632i | ||||
\(101\) | −8.73205 | + | 5.04145i | −0.0864559 | + | 0.0499153i | −0.542605 | − | 0.839988i | \(-0.682562\pi\) |
0.456149 | + | 0.889904i | \(0.349228\pi\) | |||||||
\(102\) | 34.3605 | − | 128.235i | 0.336868 | − | 1.25721i | ||||
\(103\) | 3.83437 | 0.0372269 | 0.0186135 | − | 0.999827i | \(-0.494075\pi\) | ||||
0.0186135 | + | 0.999827i | \(0.494075\pi\) | |||||||
\(104\) | 23.1748 | − | 28.5469i | 0.222835 | − | 0.274490i | ||||
\(105\) | 36.1915 | + | 55.1415i | 0.344681 | + | 0.525157i | ||||
\(106\) | 16.5870 | − | 61.9034i | 0.156481 | − | 0.583994i | ||||
\(107\) | 7.87913 | − | 4.54902i | 0.0736367 | − | 0.0425142i | −0.462730 | − | 0.886499i | \(-0.653130\pi\) |
0.536366 | + | 0.843985i | \(0.319797\pi\) | |||||||
\(108\) | −24.0918 | + | 41.7282i | −0.223072 | + | 0.386373i | ||||
\(109\) | 71.1732 | + | 71.1732i | 0.652965 | + | 0.652965i | 0.953706 | − | 0.300741i | \(-0.0972340\pi\) |
−0.300741 | + | 0.953706i | \(0.597234\pi\) | |||||||
\(110\) | 16.6523 | − | 18.6760i | 0.151384 | − | 0.169782i | ||||
\(111\) | 33.6221 | + | 125.479i | 0.302902 | + | 1.13044i | ||||
\(112\) | 11.4599 | + | 11.4599i | 0.102320 | + | 0.102320i | ||||
\(113\) | 148.812 | + | 85.9165i | 1.31692 | + | 0.760323i | 0.983232 | − | 0.182361i | \(-0.0583739\pi\) |
0.333687 | + | 0.942684i | \(0.391707\pi\) | |||||||
\(114\) | −146.090 | + | 84.3449i | −1.28149 | + | 0.739868i | ||||
\(115\) | 22.9499 | − | 7.58039i | 0.199564 | − | 0.0659164i | ||||
\(116\) | 64.3188i | 0.554472i | ||||||||
\(117\) | −18.9961 | − | 8.48553i | −0.162360 | − | 0.0725259i | ||||
\(118\) | 111.116i | 0.941658i | ||||||||
\(119\) | 30.2355 | − | 112.840i | 0.254080 | − | 0.948239i | ||||
\(120\) | −20.7040 | + | 41.1269i | −0.172534 | + | 0.342724i | ||||
\(121\) | −93.9449 | − | 54.2391i | −0.776404 | − | 0.448257i | ||||
\(122\) | 73.8418 | − | 73.8418i | 0.605261 | − | 0.605261i | ||||
\(123\) | −16.2325 | − | 60.5805i | −0.131972 | − | 0.492525i | ||||
\(124\) | −4.37957 | − | 16.3448i | −0.0353191 | − | 0.131813i | ||||
\(125\) | 71.9908 | − | 102.188i | 0.575926 | − | 0.817502i | ||||
\(126\) | 4.58509 | − | 7.94160i | 0.0363896 | − | 0.0630286i | ||||
\(127\) | −47.2301 | − | 81.8049i | −0.371891 | − | 0.644133i | 0.617966 | − | 0.786205i | \(-0.287957\pi\) |
−0.989856 | + | 0.142072i | \(0.954624\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | − | 59.7175i | − | 0.462927i | ||||||
\(130\) | 85.9375 | + | 32.6304i | 0.661058 | + | 0.251003i | ||||
\(131\) | −13.4417 | −0.102608 | −0.0513042 | − | 0.998683i | \(-0.516338\pi\) | ||||
−0.0513042 | + | 0.998683i | \(0.516338\pi\) | |||||||
\(132\) | −22.2571 | − | 5.96377i | −0.168614 | − | 0.0451801i | ||||
\(133\) | −128.552 | + | 74.2193i | −0.966553 | + | 0.558040i | ||||
\(134\) | −28.5096 | − | 16.4600i | −0.212758 | − | 0.122836i | ||||
\(135\) | −117.947 | − | 24.4718i | −0.873682 | − | 0.181273i | ||||
\(136\) | 78.7727 | − | 21.1071i | 0.579211 | − | 0.155199i | ||||
\(137\) | −100.716 | + | 26.9869i | −0.735156 | + | 0.196984i | −0.606924 | − | 0.794760i | \(-0.707597\pi\) |
−0.128232 | + | 0.991744i | \(0.540930\pi\) | |||||||
\(138\) | −15.7383 | − | 15.7383i | −0.114045 | − | 0.114045i | ||||
\(139\) | 35.4328 | − | 61.3715i | 0.254912 | − | 0.441521i | −0.709959 | − | 0.704243i | \(-0.751287\pi\) |
0.964872 | + | 0.262721i | \(0.0846200\pi\) | |||||||
\(140\) | −18.2185 | + | 36.1896i | −0.130132 | + | 0.258497i | ||||
\(141\) | −146.591 | − | 39.2790i | −1.03965 | − | 0.278574i | ||||
\(142\) | 139.029 | 0.979080 | ||||||||
\(143\) | −7.25201 | + | 45.4268i | −0.0507133 | + | 0.317670i | ||||
\(144\) | 6.40160 | 0.0444556 | ||||||||
\(145\) | −152.684 | + | 50.4317i | −1.05299 | + | 0.347805i | ||||
\(146\) | 71.9561 | + | 124.632i | 0.492850 | + | 0.853642i | ||||
\(147\) | −53.0439 | + | 91.8747i | −0.360843 | + | 0.624998i | ||||
\(148\) | −56.4264 | + | 56.4264i | −0.381259 | + | 0.381259i | ||||
\(149\) | 263.602 | − | 70.6319i | 1.76914 | − | 0.474039i | 0.780603 | − | 0.625027i | \(-0.214912\pi\) |
0.988536 | + | 0.150987i | \(0.0482453\pi\) | |||||||
\(150\) | −113.863 | − | 16.9012i | −0.759089 | − | 0.112675i | ||||
\(151\) | −130.035 | + | 130.035i | −0.861161 | + | 0.861161i | −0.991473 | − | 0.130312i | \(-0.958402\pi\) |
0.130312 | + | 0.991473i | \(0.458402\pi\) | |||||||
\(152\) | −89.7405 | − | 51.8117i | −0.590398 | − | 0.340866i | ||||
\(153\) | −23.0720 | − | 39.9619i | −0.150798 | − | 0.261189i | ||||
\(154\) | −19.5851 | − | 5.24782i | −0.127176 | − | 0.0340768i | ||||
\(155\) | 35.3662 | − | 23.2122i | 0.228169 | − | 0.149756i | ||||
\(156\) | −8.74526 | − | 84.1985i | −0.0560594 | − | 0.539734i | ||||
\(157\) | − | 91.4614i | − | 0.582557i | −0.956638 | − | 0.291278i | \(-0.905919\pi\) | ||
0.956638 | − | 0.291278i | \(-0.0940806\pi\) | |||||||
\(158\) | 4.11365 | + | 1.10225i | 0.0260357 | + | 0.00697625i | ||||
\(159\) | −73.7712 | − | 127.775i | −0.463970 | − | 0.803619i | ||||
\(160\) | −28.2380 | + | 1.61756i | −0.176487 | + | 0.0101097i | ||||
\(161\) | −13.8489 | − | 13.8489i | −0.0860179 | − | 0.0860179i | ||||
\(162\) | 33.9826 | + | 126.825i | 0.209769 | + | 0.782870i | ||||
\(163\) | −261.482 | + | 70.0638i | −1.60418 | + | 0.429839i | −0.946302 | − | 0.323283i | \(-0.895213\pi\) |
−0.657880 | + | 0.753122i | \(0.728547\pi\) | |||||||
\(164\) | 27.2423 | − | 27.2423i | 0.166111 | − | 0.166111i | ||||
\(165\) | −3.29442 | − | 57.5114i | −0.0199662 | − | 0.348554i | ||||
\(166\) | −12.3113 | + | 7.10792i | −0.0741643 | + | 0.0428188i | ||||
\(167\) | 42.6715 | − | 159.252i | 0.255518 | − | 0.953605i | −0.712284 | − | 0.701891i | \(-0.752339\pi\) |
0.967802 | − | 0.251714i | \(-0.0809942\pi\) | |||||||
\(168\) | 37.3113 | 0.222091 | ||||||||
\(169\) | −165.393 | + | 34.7316i | −0.978654 | + | 0.205513i | ||||
\(170\) | 111.870 | + | 170.445i | 0.658060 | + | 1.00262i | ||||
\(171\) | −15.1753 | + | 56.6350i | −0.0887445 | + | 0.331199i | ||||
\(172\) | 31.7688 | − | 18.3417i | 0.184703 | − | 0.106638i | ||||
\(173\) | 70.5677 | − | 122.227i | 0.407906 | − | 0.706514i | −0.586749 | − | 0.809769i | \(-0.699592\pi\) |
0.994655 | + | 0.103255i | \(0.0329258\pi\) | |||||||
\(174\) | 104.705 | + | 104.705i | 0.601755 | + | 0.601755i | ||||
\(175\) | −100.194 | − | 14.8722i | −0.572537 | − | 0.0849842i | ||||
\(176\) | −3.66345 | − | 13.6722i | −0.0208150 | − | 0.0776828i | ||||
\(177\) | 180.887 | + | 180.887i | 1.02196 | + | 1.02196i | ||||
\(178\) | 36.4598 | + | 21.0501i | 0.204830 | + | 0.118259i | ||||
\(179\) | −264.598 | + | 152.766i | −1.47820 | + | 0.853440i | −0.999696 | − | 0.0246453i | \(-0.992154\pi\) |
−0.478505 | + | 0.878085i | \(0.658821\pi\) | |||||||
\(180\) | 5.01943 | + | 15.1965i | 0.0278857 | + | 0.0844250i | ||||
\(181\) | 261.469i | 1.44458i | 0.691592 | + | 0.722289i | \(0.256910\pi\) | ||||
−0.691592 | + | 0.722289i | \(0.743090\pi\) | |||||||
\(182\) | −7.69539 | − | 74.0905i | −0.0422824 | − | 0.407090i | ||||
\(183\) | − | 240.416i | − | 1.31375i | ||||||
\(184\) | 3.53864 | − | 13.2064i | 0.0192318 | − | 0.0717739i | ||||
\(185\) | −178.192 | − | 89.7048i | −0.963197 | − | 0.484891i | ||||
\(186\) | −33.7374 | − | 19.4783i | −0.181384 | − | 0.104722i | ||||
\(187\) | −72.1450 | + | 72.1450i | −0.385802 | + | 0.385802i | ||||
\(188\) | −24.1284 | − | 90.0485i | −0.128343 | − | 0.478981i | ||||
\(189\) | 25.2639 | + | 94.2860i | 0.133671 | + | 0.498868i | ||||
\(190\) | 52.6290 | − | 253.656i | 0.276995 | − | 1.33503i | ||||
\(191\) | 102.804 | − | 178.061i | 0.538240 | − | 0.932258i | −0.460759 | − | 0.887525i | \(-0.652423\pi\) |
0.998999 | − | 0.0447333i | \(-0.0142438\pi\) | |||||||
\(192\) | 13.0233 | + | 22.5570i | 0.0678297 | + | 0.117484i | ||||
\(193\) | 25.2805 | − | 94.3481i | 0.130987 | − | 0.488850i | −0.868995 | − | 0.494821i | \(-0.835234\pi\) |
0.999982 | + | 0.00597043i | \(0.00190046\pi\) | |||||||
\(194\) | 99.5966i | 0.513385i | ||||||||
\(195\) | 193.018 | − | 86.7792i | 0.989837 | − | 0.445022i | ||||
\(196\) | −65.1680 | −0.332490 | ||||||||
\(197\) | −107.126 | − | 28.7044i | −0.543788 | − | 0.145707i | −0.0235399 | − | 0.999723i | \(-0.507494\pi\) |
−0.520248 | + | 0.854015i | \(0.674160\pi\) | |||||||
\(198\) | −6.93598 | + | 4.00449i | −0.0350302 | + | 0.0202247i | ||||
\(199\) | −196.213 | − | 113.284i | −0.985995 | − | 0.569264i | −0.0819202 | − | 0.996639i | \(-0.526105\pi\) |
−0.904075 | + | 0.427375i | \(0.859439\pi\) | |||||||
\(200\) | −25.9810 | − | 65.7647i | −0.129905 | − | 0.328823i | ||||
\(201\) | −73.2067 | + | 19.6157i | −0.364212 | + | 0.0975904i | ||||
\(202\) | −13.7735 | + | 3.69060i | −0.0681856 | + | 0.0182703i | ||||
\(203\) | 92.1354 | + | 92.1354i | 0.453869 | + | 0.453869i | ||||
\(204\) | 93.8746 | − | 162.596i | 0.460170 | − | 0.797037i | ||||
\(205\) | 86.0297 | + | 43.3089i | 0.419657 | + | 0.211263i | ||||
\(206\) | 5.23785 | + | 1.40348i | 0.0254265 | + | 0.00681300i | ||||
\(207\) | −7.73614 | −0.0373726 | ||||||||
\(208\) | 42.1063 | − | 30.5132i | 0.202434 | − | 0.146698i | ||||
\(209\) | 129.642 | 0.620298 | ||||||||
\(210\) | 29.2554 | + | 88.5717i | 0.139311 | + | 0.421770i | ||||
\(211\) | 171.542 | + | 297.119i | 0.812993 | + | 1.40815i | 0.910760 | + | 0.412936i | \(0.135497\pi\) |
−0.0977668 | + | 0.995209i | \(0.531170\pi\) | |||||||
\(212\) | 45.3164 | − | 78.4904i | 0.213757 | − | 0.370238i | ||||
\(213\) | 226.328 | − | 226.328i | 1.06257 | − | 1.06257i | ||||
\(214\) | 12.4281 | − | 3.33011i | 0.0580755 | − | 0.0155613i | ||||
\(215\) | 68.4503 | + | 61.0331i | 0.318374 | + | 0.283875i | ||||
\(216\) | −48.1836 | + | 48.1836i | −0.223072 | + | 0.223072i | ||||
\(217\) | −29.6872 | − | 17.1399i | −0.136807 | − | 0.0789858i | ||||
\(218\) | 71.1732 | + | 123.276i | 0.326482 | + | 0.565484i | ||||
\(219\) | 320.028 | + | 85.7512i | 1.46131 | + | 0.391558i | ||||
\(220\) | 29.5833 | − | 19.4167i | 0.134470 | − | 0.0882578i | ||||
\(221\) | −342.234 | − | 152.875i | −1.54857 | − | 0.691744i | ||||
\(222\) | 183.714i | 0.827542i | ||||||||
\(223\) | 199.902 | + | 53.5635i | 0.896420 | + | 0.240195i | 0.677478 | − | 0.735543i | \(-0.263073\pi\) |
0.218942 | + | 0.975738i | \(0.429739\pi\) | |||||||
\(224\) | 11.4599 | + | 19.8490i | 0.0511600 | + | 0.0886118i | ||||
\(225\) | −32.1386 | + | 23.8308i | −0.142838 | + | 0.105915i | ||||
\(226\) | 171.833 | + | 171.833i | 0.760323 | + | 0.760323i | ||||
\(227\) | 9.79539 | + | 36.5569i | 0.0431515 | + | 0.161044i | 0.984139 | − | 0.177396i | \(-0.0567675\pi\) |
−0.940988 | + | 0.338440i | \(0.890101\pi\) | |||||||
\(228\) | −230.435 | + | 61.7448i | −1.01068 | + | 0.270810i | ||||
\(229\) | 148.996 | − | 148.996i | 0.650638 | − | 0.650638i | −0.302509 | − | 0.953147i | \(-0.597824\pi\) |
0.953147 | + | 0.302509i | \(0.0978241\pi\) | |||||||
\(230\) | 34.1247 | − | 1.95477i | 0.148368 | − | 0.00849898i | ||||
\(231\) | −40.4259 | + | 23.3399i | −0.175004 | + | 0.101039i | ||||
\(232\) | −23.5423 | + | 87.8611i | −0.101475 | + | 0.378712i | ||||
\(233\) | 88.7056 | 0.380711 | 0.190355 | − | 0.981715i | \(-0.439036\pi\) | ||||
0.190355 | + | 0.981715i | \(0.439036\pi\) | |||||||
\(234\) | −22.8432 | − | 18.5445i | −0.0976207 | − | 0.0792501i | ||||
\(235\) | 194.843 | − | 127.884i | 0.829121 | − | 0.544185i | ||||
\(236\) | −40.6711 | + | 151.787i | −0.172335 | + | 0.643164i | ||||
\(237\) | 8.49102 | − | 4.90229i | 0.0358271 | − | 0.0206848i | ||||
\(238\) | 82.6050 | − | 143.076i | 0.347080 | − | 0.601160i | ||||
\(239\) | −20.3212 | − | 20.3212i | −0.0850258 | − | 0.0850258i | 0.663315 | − | 0.748341i | \(-0.269149\pi\) |
−0.748341 | + | 0.663315i | \(0.769149\pi\) | |||||||
\(240\) | −43.3357 | + | 48.6022i | −0.180566 | + | 0.202509i | ||||
\(241\) | 59.7736 | + | 223.078i | 0.248023 | + | 0.925636i | 0.971840 | + | 0.235643i | \(0.0757197\pi\) |
−0.723816 | + | 0.689993i | \(0.757614\pi\) | |||||||
\(242\) | −108.478 | − | 108.478i | −0.448257 | − | 0.448257i | ||||
\(243\) | 74.0037 | + | 42.7261i | 0.304542 | + | 0.175827i | ||||
\(244\) | 127.898 | − | 73.8418i | 0.524171 | − | 0.302630i | ||||
\(245\) | −51.0975 | − | 154.699i | −0.208561 | − | 0.631426i | ||||
\(246\) | − | 88.6961i | − | 0.360553i | ||||||
\(247\) | 170.136 | + | 444.848i | 0.688809 | + | 1.80101i | ||||
\(248\) | − | 23.9304i | − | 0.0964935i | ||||||
\(249\) | −8.47062 | + | 31.6128i | −0.0340185 | + | 0.126959i | ||||
\(250\) | 135.745 | − | 113.241i | 0.542978 | − | 0.452962i | ||||
\(251\) | 417.256 | + | 240.903i | 1.66237 | + | 0.959772i | 0.971577 | + | 0.236723i | \(0.0760734\pi\) |
0.690797 | + | 0.723049i | \(0.257260\pi\) | |||||||
\(252\) | 9.17017 | − | 9.17017i | 0.0363896 | − | 0.0363896i | ||||
\(253\) | 4.42716 | + | 16.5224i | 0.0174987 | + | 0.0653059i | ||||
\(254\) | −34.5748 | − | 129.035i | −0.136121 | − | 0.508012i | ||||
\(255\) | 459.585 | + | 95.3555i | 1.80229 | + | 0.373943i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −148.424 | − | 257.077i | −0.577524 | − | 1.00030i | −0.995762 | − | 0.0919637i | \(-0.970686\pi\) |
0.418238 | − | 0.908337i | \(-0.362648\pi\) | |||||||
\(258\) | 21.8581 | − | 81.5757i | 0.0847214 | − | 0.316185i | ||||
\(259\) | 161.659i | 0.624168i | ||||||||
\(260\) | 105.449 | + | 76.0293i | 0.405574 | + | 0.292420i | ||||
\(261\) | 51.4679 | 0.197195 | ||||||||
\(262\) | −18.3617 | − | 4.92001i | −0.0700829 | − | 0.0187786i | ||||
\(263\) | −324.660 | + | 187.442i | −1.23445 | + | 0.712709i | −0.967954 | − | 0.251128i | \(-0.919199\pi\) |
−0.266494 | + | 0.963837i | \(0.585865\pi\) | |||||||
\(264\) | −28.2209 | − | 16.2933i | −0.106897 | − | 0.0617172i | ||||
\(265\) | 221.857 | + | 46.0313i | 0.837197 | + | 0.173703i | ||||
\(266\) | −202.771 | + | 54.3323i | −0.762297 | + | 0.204257i | ||||
\(267\) | 93.6211 | − | 25.0857i | 0.350641 | − | 0.0939540i | ||||
\(268\) | −32.9201 | − | 32.9201i | −0.122836 | − | 0.122836i | ||||
\(269\) | −77.1945 | + | 133.705i | −0.286969 | + | 0.497044i | −0.973085 | − | 0.230448i | \(-0.925981\pi\) |
0.686116 | + | 0.727492i | \(0.259314\pi\) | |||||||
\(270\) | −152.161 | − | 76.6008i | −0.563561 | − | 0.283707i | ||||
\(271\) | −459.280 | − | 123.064i | −1.69476 | − | 0.454109i | −0.723148 | − | 0.690693i | \(-0.757305\pi\) |
−0.971611 | + | 0.236584i | \(0.923972\pi\) | |||||||
\(272\) | 115.331 | 0.424012 | ||||||||
\(273\) | −133.140 | − | 108.085i | −0.487693 | − | 0.395917i | ||||
\(274\) | −147.459 | −0.538172 | ||||||||
\(275\) | 69.2885 | + | 55.0022i | 0.251958 | + | 0.200008i | ||||
\(276\) | −15.7383 | − | 27.2595i | −0.0570227 | − | 0.0987662i | ||||
\(277\) | −73.5639 | + | 127.416i | −0.265574 | + | 0.459987i | −0.967714 | − | 0.252052i | \(-0.918895\pi\) |
0.702140 | + | 0.712039i | \(0.252228\pi\) | |||||||
\(278\) | 70.8656 | − | 70.8656i | 0.254912 | − | 0.254912i | ||||
\(279\) | −13.0791 | + | 3.50453i | −0.0468784 | + | 0.0125610i | ||||
\(280\) | −38.1333 | + | 42.7675i | −0.136190 | + | 0.152741i | ||||
\(281\) | −202.647 | + | 202.647i | −0.721163 | + | 0.721163i | −0.968842 | − | 0.247679i | \(-0.920332\pi\) |
0.247679 | + | 0.968842i | \(0.420332\pi\) | |||||||
\(282\) | −185.870 | − | 107.312i | −0.659113 | − | 0.380539i | ||||
\(283\) | −234.411 | − | 406.011i | −0.828306 | − | 1.43467i | −0.899366 | − | 0.437196i | \(-0.855972\pi\) |
0.0710608 | − | 0.997472i | \(-0.477362\pi\) | |||||||
\(284\) | 189.918 | + | 50.8883i | 0.668724 | + | 0.179184i | ||||
\(285\) | −327.255 | − | 498.606i | −1.14826 | − | 1.74949i | ||||
\(286\) | −26.5338 | + | 59.3998i | −0.0927755 | + | 0.207692i | ||||
\(287\) | − | 78.0481i | − | 0.271944i | ||||||
\(288\) | 8.74475 | + | 2.34315i | 0.0303637 | + | 0.00813593i | ||||
\(289\) | −271.166 | − | 469.673i | −0.938290 | − | 1.62517i | ||||
\(290\) | −227.029 | + | 13.0049i | −0.782859 | + | 0.0448445i | ||||
\(291\) | 162.135 | + | 162.135i | 0.557164 | + | 0.557164i | ||||
\(292\) | 52.6755 | + | 196.588i | 0.180396 | + | 0.673246i | ||||
\(293\) | 392.518 | − | 105.175i | 1.33965 | − | 0.358959i | 0.483347 | − | 0.875429i | \(-0.339421\pi\) |
0.856305 | + | 0.516471i | \(0.172754\pi\) | |||||||
\(294\) | −106.088 | + | 106.088i | −0.360843 | + | 0.360843i | ||||
\(295\) | −392.210 | + | 22.4670i | −1.32953 | + | 0.0761592i | ||||
\(296\) | −97.7333 | + | 56.4264i | −0.330180 | + | 0.190630i | ||||
\(297\) | 22.0648 | − | 82.3468i | 0.0742922 | − | 0.277262i | ||||
\(298\) | 385.940 | 1.29510 | ||||||||
\(299\) | −50.8842 | + | 36.8743i | −0.170181 | + | 0.123325i | ||||
\(300\) | −149.354 | − | 64.7644i | −0.497846 | − | 0.215881i | ||||
\(301\) | 19.2341 | − | 71.7825i | 0.0639005 | − | 0.238480i | ||||
\(302\) | −225.228 | + | 130.035i | −0.745787 | + | 0.430580i | ||||
\(303\) | −16.4141 | + | 28.4300i | −0.0541719 | + | 0.0938284i | ||||
\(304\) | −103.623 | − | 103.623i | −0.340866 | − | 0.340866i | ||||
\(305\) | 275.573 | + | 245.712i | 0.903519 | + | 0.805615i | ||||
\(306\) | −16.8899 | − | 63.0339i | −0.0551957 | − | 0.205993i | ||||
\(307\) | −302.437 | − | 302.437i | −0.985137 | − | 0.985137i | 0.0147539 | − | 0.999891i | \(-0.495304\pi\) |
−0.999891 | + | 0.0147539i | \(0.995304\pi\) | |||||||
\(308\) | −24.8330 | − | 14.3373i | −0.0806265 | − | 0.0465497i | ||||
\(309\) | 10.8115 | − | 6.24203i | 0.0349887 | − | 0.0202007i | ||||
\(310\) | 56.8074 | − | 18.7636i | 0.183250 | − | 0.0605277i | ||||
\(311\) | − | 397.655i | − | 1.27863i | −0.768944 | − | 0.639316i | \(-0.779218\pi\) | ||
0.768944 | − | 0.639316i | \(-0.220782\pi\) | |||||||
\(312\) | 18.8725 | − | 118.218i | 0.0604889 | − | 0.378905i | ||||
\(313\) | − | 114.795i | − | 0.366758i | −0.983042 | − | 0.183379i | \(-0.941296\pi\) | ||
0.983042 | − | 0.183379i | \(-0.0587036\pi\) | |||||||
\(314\) | 33.4772 | − | 124.939i | 0.106615 | − | 0.397894i | ||||
\(315\) | 28.9589 | + | 14.5785i | 0.0919331 | + | 0.0462808i | ||||
\(316\) | 5.21589 | + | 3.01140i | 0.0165060 | + | 0.00952974i | ||||
\(317\) | −360.788 | + | 360.788i | −1.13813 | + | 1.13813i | −0.149349 | + | 0.988785i | \(0.547718\pi\) |
−0.988785 | + | 0.149349i | \(0.952282\pi\) | |||||||
\(318\) | −54.0043 | − | 201.547i | −0.169825 | − | 0.633795i | ||||
\(319\) | −29.4536 | − | 109.922i | −0.0923309 | − | 0.344584i | ||||
\(320\) | −39.1659 | − | 8.12620i | −0.122393 | − | 0.0253944i | ||||
\(321\) | 14.8108 | − | 25.6531i | 0.0461396 | − | 0.0799161i | ||||
\(322\) | −13.8489 | − | 23.9870i | −0.0430089 | − | 0.0744937i | ||||
\(323\) | −273.399 | + | 1020.34i | −0.846435 | + | 3.15894i | ||||
\(324\) | 185.685i | 0.573101i | ||||||||
\(325\) | −97.8012 | + | 309.935i | −0.300927 | + | 0.953647i | ||||
\(326\) | −382.836 | −1.17434 | ||||||||
\(327\) | 316.546 | + | 84.8181i | 0.968029 | + | 0.259383i | ||||
\(328\) | 47.1850 | − | 27.2423i | 0.143857 | − | 0.0830557i | ||||
\(329\) | −163.556 | − | 94.4292i | −0.497131 | − | 0.287019i | ||||
\(330\) | 16.5504 | − | 79.7678i | 0.0501526 | − | 0.241721i | ||||
\(331\) | 208.648 | − | 55.9071i | 0.630357 | − | 0.168904i | 0.0705254 | − | 0.997510i | \(-0.477532\pi\) |
0.559832 | + | 0.828606i | \(0.310866\pi\) | |||||||
\(332\) | −19.4192 | + | 5.20336i | −0.0584916 | + | 0.0156728i | ||||
\(333\) | 45.1524 | + | 45.1524i | 0.135593 | + | 0.135593i | ||||
\(334\) | 116.581 | − | 201.924i | 0.349044 | − | 0.604561i | ||||
\(335\) | 52.3353 | − | 103.960i | 0.156225 | − | 0.310328i | ||||
\(336\) | 50.9681 | + | 13.6569i | 0.151691 | + | 0.0406455i | ||||
\(337\) | 41.5015 | 0.123150 | 0.0615749 | − | 0.998102i | \(-0.480388\pi\) | ||||
0.0615749 | + | 0.998102i | \(0.480388\pi\) | |||||||
\(338\) | −238.643 | − | 13.0936i | −0.706045 | − | 0.0387385i | ||||
\(339\) | 559.458 | 1.65032 | ||||||||
\(340\) | 90.4301 | + | 273.780i | 0.265971 | + | 0.805236i | ||||
\(341\) | 14.9695 | + | 25.9280i | 0.0438990 | + | 0.0760353i | ||||
\(342\) | −41.4597 | + | 71.8104i | −0.121227 | + | 0.209972i | ||||
\(343\) | −233.735 | + | 233.735i | −0.681443 | + | 0.681443i | ||||
\(344\) | 50.1106 | − | 13.4271i | 0.145670 | − | 0.0390322i | ||||
\(345\) | 52.3699 | − | 58.7343i | 0.151797 | − | 0.170244i | ||||
\(346\) | 141.135 | − | 141.135i | 0.407906 | − | 0.407906i | ||||
\(347\) | 99.4109 | + | 57.3949i | 0.286487 | + | 0.165403i | 0.636356 | − | 0.771395i | \(-0.280441\pi\) |
−0.349870 | + | 0.936798i | \(0.613774\pi\) | |||||||
\(348\) | 104.705 | + | 181.355i | 0.300877 | + | 0.521135i | ||||
\(349\) | −229.097 | − | 61.3864i | −0.656439 | − | 0.175892i | −0.0848008 | − | 0.996398i | \(-0.527025\pi\) |
−0.571639 | + | 0.820506i | \(0.693692\pi\) | |||||||
\(350\) | −131.424 | − | 56.9894i | −0.375497 | − | 0.162827i | ||||
\(351\) | 311.518 | − | 32.3557i | 0.887515 | − | 0.0921816i | ||||
\(352\) | − | 20.0175i | − | 0.0568678i | ||||||
\(353\) | 50.0915 | + | 13.4220i | 0.141902 | + | 0.0380226i | 0.329071 | − | 0.944305i | \(-0.393264\pi\) |
−0.187169 | + | 0.982328i | \(0.559931\pi\) | |||||||
\(354\) | 180.887 | + | 313.305i | 0.510979 | + | 0.885042i | ||||
\(355\) | 28.1110 | + | 490.739i | 0.0791858 | + | 1.38236i | ||||
\(356\) | 42.1002 | + | 42.1002i | 0.118259 | + | 0.118259i | ||||
\(357\) | −98.4416 | − | 367.389i | −0.275747 | − | 1.02910i | ||||
\(358\) | −417.364 | + | 111.832i | −1.16582 | + | 0.312381i | ||||
\(359\) | −31.0355 | + | 31.0355i | −0.0864499 | + | 0.0864499i | −0.749009 | − | 0.662559i | \(-0.769470\pi\) |
0.662559 | + | 0.749009i | \(0.269470\pi\) | |||||||
\(360\) | 1.29437 | + | 22.5960i | 0.00359547 | + | 0.0627668i | ||||
\(361\) | 849.767 | − | 490.613i | 2.35392 | − | 1.35904i | ||||
\(362\) | −95.7041 | + | 357.173i | −0.264376 | + | 0.986665i | ||||
\(363\) | −353.186 | −0.972964 | ||||||||
\(364\) | 16.6069 | − | 104.026i | 0.0456233 | − | 0.285786i | ||||
\(365\) | −425.369 | + | 279.187i | −1.16540 | + | 0.764895i | ||||
\(366\) | 87.9984 | − | 328.414i | 0.240433 | − | 0.897307i | ||||
\(367\) | 417.818 | − | 241.227i | 1.13847 | − | 0.657295i | 0.192417 | − | 0.981313i | \(-0.438367\pi\) |
0.946051 | + | 0.324019i | \(0.105034\pi\) | |||||||
\(368\) | 9.66775 | − | 16.7450i | 0.0262711 | − | 0.0455028i | ||||
\(369\) | −21.7993 | − | 21.7993i | −0.0590766 | − | 0.0590766i | ||||
\(370\) | −210.580 | − | 187.762i | −0.569135 | − | 0.507464i | ||||
\(371\) | −47.5210 | − | 177.351i | −0.128089 | − | 0.478035i | ||||
\(372\) | −38.9566 | − | 38.9566i | −0.104722 | − | 0.104722i | ||||
\(373\) | 318.206 | + | 183.716i | 0.853099 | + | 0.492537i | 0.861695 | − | 0.507426i | \(-0.169403\pi\) |
−0.00859635 | + | 0.999963i | \(0.502736\pi\) | |||||||
\(374\) | −124.959 | + | 72.1450i | −0.334114 | + | 0.192901i | ||||
\(375\) | 36.6346 | − | 405.326i | 0.0976922 | − | 1.08087i | ||||
\(376\) | − | 131.840i | − | 0.350639i | ||||||
\(377\) | 338.528 | − | 245.322i | 0.897953 | − | 0.650721i | ||||
\(378\) | 138.044i | 0.365196i | ||||||||
\(379\) | −7.02728 | + | 26.2261i | −0.0185416 | + | 0.0691983i | −0.974577 | − | 0.224054i | \(-0.928071\pi\) |
0.956035 | + | 0.293252i | \(0.0947375\pi\) | |||||||
\(380\) | 164.737 | − | 327.237i | 0.433519 | − | 0.861151i | ||||
\(381\) | −266.343 | − | 153.773i | −0.699062 | − | 0.403604i | ||||
\(382\) | 205.608 | − | 205.608i | 0.538240 | − | 0.538240i | ||||
\(383\) | −2.38221 | − | 8.89054i | −0.00621988 | − | 0.0232129i | 0.962746 | − | 0.270407i | \(-0.0871582\pi\) |
−0.968966 | + | 0.247194i | \(0.920492\pi\) | |||||||
\(384\) | 9.53372 | + | 35.5803i | 0.0248274 | + | 0.0926571i | ||||
\(385\) | 14.5635 | − | 70.1917i | 0.0378272 | − | 0.182316i | ||||
\(386\) | 69.0676 | − | 119.629i | 0.178932 | − | 0.309919i | ||||
\(387\) | −14.6771 | − | 25.4214i | −0.0379252 | − | 0.0656884i | ||||
\(388\) | −36.4549 | + | 136.052i | −0.0939559 | + | 0.350648i | ||||
\(389\) | 684.367i | 1.75930i | 0.475624 | + | 0.879648i | \(0.342222\pi\) | ||||
−0.475624 | + | 0.879648i | \(0.657778\pi\) | |||||||
\(390\) | 295.431 | − | 47.8930i | 0.757516 | − | 0.122803i | ||||
\(391\) | −139.374 | −0.356456 | ||||||||
\(392\) | −89.0211 | − | 23.8531i | −0.227095 | − | 0.0608498i | ||||
\(393\) | −37.9006 | + | 21.8819i | −0.0964392 | + | 0.0556792i | ||||
\(394\) | −135.831 | − | 78.4218i | −0.344747 | − | 0.199040i | ||||
\(395\) | −3.05890 | + | 14.7430i | −0.00774405 | + | 0.0373241i | ||||
\(396\) | −10.9405 | + | 2.93149i | −0.0276275 | + | 0.00740276i | ||||
\(397\) | 704.868 | − | 188.869i | 1.77549 | − | 0.475740i | 0.785738 | − | 0.618559i | \(-0.212283\pi\) |
0.989749 | + | 0.142819i | \(0.0456166\pi\) | |||||||
\(398\) | −226.567 | − | 226.567i | −0.569264 | − | 0.569264i | ||||
\(399\) | −241.645 | + | 418.542i | −0.605627 | + | 1.04898i | ||||
\(400\) | −11.4191 | − | 99.3459i | −0.0285478 | − | 0.248365i | ||||
\(401\) | −295.601 | − | 79.2062i | −0.737161 | − | 0.197522i | −0.129345 | − | 0.991600i | \(-0.541287\pi\) |
−0.607816 | + | 0.794078i | \(0.707954\pi\) | |||||||
\(402\) | −107.182 | −0.266622 | ||||||||
\(403\) | −69.3229 | + | 85.3924i | −0.172017 | + | 0.211892i | ||||
\(404\) | −20.1658 | −0.0499153 | ||||||||
\(405\) | −440.789 | + | 145.593i | −1.08837 | + | 0.359490i | ||||
\(406\) | 92.1354 | + | 159.583i | 0.226935 | + | 0.393062i | ||||
\(407\) | 70.5945 | − | 122.273i | 0.173451 | − | 0.300426i | ||||
\(408\) | 187.749 | − | 187.749i | 0.460170 | − | 0.460170i | ||||
\(409\) | −204.075 | + | 54.6818i | −0.498961 | + | 0.133696i | −0.499518 | − | 0.866304i | \(-0.666489\pi\) |
0.000556627 | 1.00000i | \(0.499823\pi\) | ||||||||
\(410\) | 101.667 | + | 90.6501i | 0.247967 | + | 0.221098i | ||||
\(411\) | −240.050 | + | 240.050i | −0.584064 | + | 0.584064i | ||||
\(412\) | 6.64133 | + | 3.83437i | 0.0161197 | + | 0.00930673i | ||||
\(413\) | 159.171 | + | 275.692i | 0.385402 | + | 0.667536i | ||||
\(414\) | −10.5678 | − | 2.83162i | −0.0255260 | − | 0.00683967i | ||||
\(415\) | −27.5784 | − | 42.0185i | −0.0664541 | − | 0.101249i | ||||
\(416\) | 68.6869 | − | 26.2699i | 0.165113 | − | 0.0631487i | ||||
\(417\) | − | 230.726i | − | 0.553300i | ||||||
\(418\) | 177.095 | + | 47.4524i | 0.423671 | + | 0.113522i | ||||
\(419\) | 25.4686 | + | 44.1129i | 0.0607843 | + | 0.105281i | 0.894816 | − | 0.446435i | \(-0.147306\pi\) |
−0.834032 | + | 0.551716i | \(0.813973\pi\) | |||||||
\(420\) | 7.54413 | + | 131.699i | 0.0179622 | + | 0.313570i | ||||
\(421\) | −217.184 | − | 217.184i | −0.515875 | − | 0.515875i | 0.400445 | − | 0.916321i | \(-0.368855\pi\) |
−0.916321 | + | 0.400445i | \(0.868855\pi\) | |||||||
\(422\) | 125.577 | + | 468.660i | 0.297576 | + | 1.11057i | ||||
\(423\) | −72.0568 | + | 19.3076i | −0.170347 | + | 0.0456443i | ||||
\(424\) | 90.6329 | − | 90.6329i | 0.213757 | − | 0.213757i | ||||
\(425\) | −579.010 | + | 429.336i | −1.36238 | + | 1.01020i | ||||
\(426\) | 392.011 | − | 226.328i | 0.920214 | − | 0.531286i | ||||
\(427\) | 77.4341 | − | 288.988i | 0.181345 | − | 0.676787i | ||||
\(428\) | 18.1961 | 0.0425142 | ||||||||
\(429\) | 53.5030 | + | 139.892i | 0.124716 | + | 0.326089i | ||||
\(430\) | 71.1652 | + | 108.427i | 0.165500 | + | 0.252157i | ||||
\(431\) | 88.3476 | − | 329.718i | 0.204983 | − | 0.765006i | −0.784472 | − | 0.620164i | \(-0.787066\pi\) |
0.989455 | − | 0.144842i | \(-0.0462674\pi\) | |||||||
\(432\) | −83.4565 | + | 48.1836i | −0.193186 | + | 0.111536i | ||||
\(433\) | 302.518 | − | 523.976i | 0.698656 | − | 1.21011i | −0.270277 | − | 0.962783i | \(-0.587115\pi\) |
0.968933 | − | 0.247324i | \(-0.0795513\pi\) | |||||||
\(434\) | −34.2798 | − | 34.2798i | −0.0789858 | − | 0.0789858i | ||||
\(435\) | −348.413 | + | 390.754i | −0.800949 | + | 0.898286i | ||||
\(436\) | 52.1024 | + | 194.449i | 0.119501 | + | 0.445983i | ||||
\(437\) | 125.226 | + | 125.226i | 0.286558 | + | 0.286558i | ||||
\(438\) | 405.779 | + | 234.277i | 0.926436 | + | 0.534878i | ||||
\(439\) | 24.3842 | − | 14.0782i | 0.0555448 | − | 0.0320688i | −0.471970 | − | 0.881614i | \(-0.656457\pi\) |
0.527515 | + | 0.849546i | \(0.323124\pi\) | |||||||
\(440\) | 47.5186 | − | 15.6955i | 0.107997 | − | 0.0356716i | ||||
\(441\) | 52.1474i | 0.118248i | ||||||||
\(442\) | −411.544 | − | 334.098i | −0.931095 | − | 0.755878i | ||||
\(443\) | 27.2747i | 0.0615682i | 0.999526 | + | 0.0307841i | \(0.00980043\pi\) | ||||
−0.999526 | + | 0.0307841i | \(0.990200\pi\) | |||||||
\(444\) | −67.2441 | + | 250.959i | −0.151451 | + | 0.565222i | ||||
\(445\) | −66.9295 | + | 132.950i | −0.150403 | + | 0.298764i | ||||
\(446\) | 253.465 | + | 146.338i | 0.568308 | + | 0.328113i | ||||
\(447\) | 628.276 | − | 628.276i | 1.40554 | − | 1.40554i | ||||
\(448\) | 8.38919 | + | 31.3089i | 0.0187259 | + | 0.0698859i | ||||
\(449\) | −107.225 | − | 400.168i | −0.238808 | − | 0.891243i | −0.976395 | − | 0.215991i | \(-0.930702\pi\) |
0.737587 | − | 0.675252i | \(-0.235965\pi\) | |||||||
\(450\) | −52.6249 | + | 20.7900i | −0.116944 | + | 0.0461999i | ||||
\(451\) | −34.0825 | + | 59.0327i | −0.0755711 | + | 0.130893i | ||||
\(452\) | 171.833 | + | 297.624i | 0.380162 | + | 0.658459i | ||||
\(453\) | −154.965 | + | 578.337i | −0.342086 | + | 1.27668i | ||||
\(454\) | 53.5230i | 0.117892i | ||||||||
\(455\) | 259.965 | − | 42.1435i | 0.571351 | − | 0.0926230i | ||||
\(456\) | −337.380 | −0.739868 | ||||||||
\(457\) | −229.632 | − | 61.5297i | −0.502477 | − | 0.134638i | −0.00132768 | − | 0.999999i | \(-0.500423\pi\) |
−0.501149 | + | 0.865361i | \(0.667089\pi\) | |||||||
\(458\) | 258.069 | − | 148.996i | 0.563469 | − | 0.325319i | ||||
\(459\) | 601.571 | + | 347.317i | 1.31061 | + | 0.756683i | ||||
\(460\) | 47.3307 | + | 9.82026i | 0.102893 | + | 0.0213484i | ||||
\(461\) | 19.4278 | − | 5.20565i | 0.0421426 | − | 0.0112921i | −0.237686 | − | 0.971342i | \(-0.576389\pi\) |
0.279829 | + | 0.960050i | \(0.409722\pi\) | |||||||
\(462\) | −63.7658 | + | 17.0860i | −0.138021 | + | 0.0369827i | ||||
\(463\) | −600.627 | − | 600.627i | −1.29725 | − | 1.29725i | −0.930201 | − | 0.367050i | \(-0.880368\pi\) |
−0.367050 | − | 0.930201i | \(-0.619632\pi\) | |||||||
\(464\) | −64.3188 | + | 111.403i | −0.138618 | + | 0.240094i | ||||
\(465\) | 61.9320 | − | 123.023i | 0.133187 | − | 0.264565i | ||||
\(466\) | 121.174 | + | 32.4685i | 0.260030 | + | 0.0696749i | ||||
\(467\) | −714.511 | −1.53000 | −0.765001 | − | 0.644029i | \(-0.777262\pi\) | ||||
−0.765001 | + | 0.644029i | \(0.777262\pi\) | |||||||
\(468\) | −24.4167 | − | 33.6935i | −0.0521724 | − | 0.0719946i | ||||
\(469\) | −94.3148 | −0.201098 | ||||||||
\(470\) | 312.970 | − | 103.375i | 0.665893 | − | 0.219946i | ||||
\(471\) | −148.891 | − | 257.887i | −0.316117 | − | 0.547531i | ||||
\(472\) | −111.116 | + | 192.458i | −0.235414 | + | 0.407750i | ||||
\(473\) | −45.8944 | + | 45.8944i | −0.0970283 | + | 0.0970283i | ||||
\(474\) | 13.3933 | − | 3.58873i | 0.0282559 | − | 0.00757116i | ||||
\(475\) | 905.984 | + | 134.479i | 1.90733 | + | 0.283114i | ||||
\(476\) | 165.210 | − | 165.210i | 0.347080 | − | 0.347080i | ||||
\(477\) | −62.8080 | − | 36.2622i | −0.131673 | − | 0.0760214i | ||||
\(478\) | −20.3212 | − | 35.1973i | −0.0425129 | − | 0.0736345i | ||||
\(479\) | 791.576 | + | 212.102i | 1.65256 | + | 0.442802i | 0.960328 | − | 0.278874i | \(-0.0899611\pi\) |
0.692231 | + | 0.721676i | \(0.256628\pi\) | |||||||
\(480\) | −76.9874 | + | 50.5299i | −0.160390 | + | 0.105271i | ||||
\(481\) | 512.207 | + | 81.7695i | 1.06488 | + | 0.169999i | ||||
\(482\) | 326.609i | 0.677613i | ||||||||
\(483\) | −61.5934 | − | 16.5039i | −0.127523 | − | 0.0341696i | ||||
\(484\) | −108.478 | − | 187.890i | −0.224128 | − | 0.388202i | ||||
\(485\) | −351.551 | + | 20.1379i | −0.724847 | + | 0.0415214i | ||||
\(486\) | 85.4521 | + | 85.4521i | 0.175827 | + | 0.175827i | ||||
\(487\) | −33.6122 | − | 125.442i | −0.0690189 | − | 0.257582i | 0.922792 | − | 0.385299i | \(-0.125902\pi\) |
−0.991811 | + | 0.127717i | \(0.959235\pi\) | |||||||
\(488\) | 201.740 | − | 54.0559i | 0.413401 | − | 0.110770i | ||||
\(489\) | −623.223 | + | 623.223i | −1.27449 | + | 1.27449i | ||||
\(490\) | −13.1766 | − | 230.026i | −0.0268910 | − | 0.469442i | ||||
\(491\) | −165.908 | + | 95.7868i | −0.337897 | + | 0.195085i | −0.659342 | − | 0.751843i | \(-0.729165\pi\) |
0.321445 | + | 0.946928i | \(0.395832\pi\) | |||||||
\(492\) | 32.4650 | − | 121.161i | 0.0659858 | − | 0.246262i | ||||
\(493\) | 927.246 | 1.88082 | ||||||||
\(494\) | 69.5840 | + | 669.948i | 0.140858 | + | 1.35617i | ||||
\(495\) | −15.5373 | − | 23.6726i | −0.0313884 | − | 0.0478234i | ||||
\(496\) | 8.75913 | − | 32.6895i | 0.0176595 | − | 0.0659063i | ||||
\(497\) | 344.950 | − | 199.157i | 0.694064 | − | 0.400718i | ||||
\(498\) | −23.1422 | + | 40.0834i | −0.0464702 | + | 0.0804887i | ||||
\(499\) | −550.541 | − | 550.541i | −1.10329 | − | 1.10329i | −0.994011 | − | 0.109278i | \(-0.965146\pi\) |
−0.109278 | − | 0.994011i | \(-0.534854\pi\) | |||||||
\(500\) | 226.879 | − | 105.003i | 0.453759 | − | 0.210007i | ||||
\(501\) | −138.931 | − | 518.497i | −0.277307 | − | 1.03492i | ||||
\(502\) | 481.806 | + | 481.806i | 0.959772 | + | 0.959772i | ||||
\(503\) | 13.1381 | + | 7.58531i | 0.0261196 | + | 0.0150801i | 0.513003 | − | 0.858387i | \(-0.328533\pi\) |
−0.486883 | + | 0.873467i | \(0.661866\pi\) | |||||||
\(504\) | 15.8832 | − | 9.17017i | 0.0315143 | − | 0.0181948i | ||||
\(505\) | −15.8118 | − | 47.8707i | −0.0313105 | − | 0.0947935i | ||||
\(506\) | 24.1905i | 0.0478073i | ||||||||
\(507\) | −409.806 | + | 367.175i | −0.808295 | + | 0.724211i | ||||
\(508\) | − | 188.920i | − | 0.371891i | ||||||
\(509\) | 61.1999 | − | 228.401i | 0.120235 | − | 0.448725i | −0.879390 | − | 0.476103i | \(-0.842049\pi\) |
0.999625 | + | 0.0273778i | \(0.00871570\pi\) | |||||||
\(510\) | 592.902 | + | 298.478i | 1.16255 | + | 0.585251i | ||||
\(511\) | 357.065 | + | 206.152i | 0.698757 | + | 0.403428i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −228.443 | − | 852.562i | −0.445309 | − | 1.66191i | ||||
\(514\) | −108.654 | − | 405.501i | −0.211388 | − | 0.788913i | ||||
\(515\) | −3.89486 | + | 18.7721i | −0.00756283 | + | 0.0364506i | ||||
\(516\) | 59.7175 | − | 103.434i | 0.115732 | − | 0.200453i | ||||
\(517\) | 82.4720 | + | 142.846i | 0.159520 | + | 0.276297i | ||||
\(518\) | −59.1715 | + | 220.831i | −0.114231 | + | 0.426314i | ||||
\(519\) | − | 459.513i | − | 0.885381i | ||||||
\(520\) | 116.218 | + | 142.455i | 0.223496 | + | 0.273952i | ||||
\(521\) | 610.692 | 1.17215 | 0.586076 | − | 0.810256i | \(-0.300672\pi\) | ||||
0.586076 | + | 0.810256i | \(0.300672\pi\) | |||||||
\(522\) | 70.3064 | + | 18.8386i | 0.134687 | + | 0.0360892i | ||||
\(523\) | −362.563 | + | 209.326i | −0.693236 | + | 0.400240i | −0.804823 | − | 0.593514i | \(-0.797740\pi\) |
0.111587 | + | 0.993755i | \(0.464407\pi\) | |||||||
\(524\) | −23.2817 | − | 13.4417i | −0.0444308 | − | 0.0256521i | ||||
\(525\) | −306.720 | + | 121.173i | −0.584229 | + | 0.230805i | ||||
\(526\) | −512.102 | + | 137.217i | −0.973578 | + | 0.260870i | ||||
\(527\) | −235.633 | + | 63.1376i | −0.447121 | + | 0.119806i | ||||
\(528\) | −32.5867 | − | 32.5867i | −0.0617172 | − | 0.0617172i | ||||
\(529\) | 252.817 | − | 437.892i | 0.477915 | − | 0.827772i | ||||
\(530\) | 286.214 | + | 144.085i | 0.540026 | + | 0.271859i | ||||
\(531\) | 121.460 | + | 32.5451i | 0.228738 | + | 0.0612901i | ||||
\(532\) | −296.877 | −0.558040 | ||||||||
\(533\) | −247.290 | − | 39.4778i | −0.463959 | − | 0.0740671i | ||||
\(534\) | 137.071 | 0.256687 | ||||||||
\(535\) | 14.2674 | + | 43.1949i | 0.0266680 | + | 0.0807381i | ||||
\(536\) | −32.9201 | − | 57.0193i | −0.0614181 | − | 0.106379i | ||||
\(537\) | −497.378 | + | 861.485i | −0.926217 | + | 1.60425i | ||||
\(538\) | −154.389 | + | 154.389i | −0.286969 | + | 0.286969i | ||||
\(539\) | 111.373 | − | 29.8424i | 0.206630 | − | 0.0553663i | ||||
\(540\) | −179.818 | − | 160.334i | −0.332997 | − | 0.296914i | ||||
\(541\) | 138.353 | − | 138.353i | 0.255736 | − | 0.255736i | −0.567581 | − | 0.823317i | \(-0.692121\pi\) |
0.823317 | + | 0.567581i | \(0.192121\pi\) | |||||||
\(542\) | −582.343 | − | 336.216i | −1.07443 | − | 0.620325i | ||||
\(543\) | 425.648 | + | 737.244i | 0.783882 | + | 1.35772i | ||||
\(544\) | 157.545 | + | 42.2142i | 0.289606 | + | 0.0775996i | ||||
\(545\) | −420.741 | + | 276.149i | −0.772001 | + | 0.506695i | ||||
\(546\) | −142.311 | − | 196.380i | −0.260643 | − | 0.359670i | ||||
\(547\) | 354.966i | 0.648933i | 0.945897 | + | 0.324466i | \(0.105185\pi\) | ||||
−0.945897 | + | 0.324466i | \(0.894815\pi\) | |||||||
\(548\) | −201.433 | − | 53.9737i | −0.367578 | − | 0.0984922i | ||||
\(549\) | −59.0882 | − | 102.344i | −0.107629 | − | 0.186419i | ||||
\(550\) | 74.5177 | + | 100.496i | 0.135487 | + | 0.182720i | ||||
\(551\) | −833.116 | − | 833.116i | −1.51201 | − | 1.51201i | ||||
\(552\) | −11.5212 | − | 42.9977i | −0.0208717 | − | 0.0778944i | ||||
\(553\) | 11.7854 | − | 3.15790i | 0.0213118 | − | 0.00571049i | ||||
\(554\) | −147.128 | + | 147.128i | −0.265574 | + | 0.265574i | ||||
\(555\) | −648.465 | + | 37.1460i | −1.16841 | + | 0.0669298i | ||||
\(556\) | 122.743 | − | 70.8656i | 0.220761 | − | 0.127456i | ||||
\(557\) | 39.0031 | − | 145.561i | 0.0700235 | − | 0.261331i | −0.922035 | − | 0.387106i | \(-0.873475\pi\) |
0.992059 | + | 0.125774i | \(0.0401416\pi\) | |||||||
\(558\) | −19.1491 | −0.0343174 | ||||||||
\(559\) | −217.709 | − | 97.2504i | −0.389462 | − | 0.173972i | ||||
\(560\) | −67.7450 | + | 44.4637i | −0.120973 | + | 0.0793995i | ||||
\(561\) | −85.9762 | + | 320.868i | −0.153255 | + | 0.571957i | ||||
\(562\) | −350.995 | + | 202.647i | −0.624546 | + | 0.360582i | ||||
\(563\) | 448.451 | − | 776.740i | 0.796538 | − | 1.37964i | −0.125320 | − | 0.992116i | \(-0.539996\pi\) |
0.921858 | − | 0.387528i | \(-0.126671\pi\) | |||||||
\(564\) | −214.624 | − | 214.624i | −0.380539 | − | 0.380539i | ||||
\(565\) | −571.784 | + | 641.271i | −1.01201 | + | 1.13499i | ||||
\(566\) | −171.600 | − | 640.421i | −0.303181 | − | 1.13149i | ||||
\(567\) | 265.990 | + | 265.990i | 0.469118 | + | 0.469118i | ||||
\(568\) | 240.806 | + | 139.029i | 0.423954 | + | 0.244770i | ||||
\(569\) | 97.8068 | − | 56.4688i | 0.171892 | − | 0.0992421i | −0.411585 | − | 0.911371i | \(-0.635025\pi\) |
0.583478 | + | 0.812129i | \(0.301691\pi\) | |||||||
\(570\) | −264.536 | − | 800.892i | −0.464098 | − | 1.40507i | ||||
\(571\) | 15.2640i | 0.0267321i | 0.999911 | + | 0.0133660i | \(0.00425466\pi\) | ||||
−0.999911 | + | 0.0133660i | \(0.995745\pi\) | |||||||
\(572\) | −57.9877 | + | 71.4296i | −0.101377 | + | 0.124877i | ||||
\(573\) | − | 669.422i | − | 1.16828i | ||||||
\(574\) | 28.5676 | − | 106.616i | 0.0497693 | − | 0.185742i | ||||
\(575\) | 13.7997 | + | 120.056i | 0.0239994 | + | 0.208794i | ||||
\(576\) | 11.0879 | + | 6.40160i | 0.0192498 | + | 0.0111139i | ||||
\(577\) | −438.825 | + | 438.825i | −0.760529 | + | 0.760529i | −0.976418 | − | 0.215889i | \(-0.930735\pi\) |
0.215889 | + | 0.976418i | \(0.430735\pi\) | |||||||
\(578\) | −198.507 | − | 740.839i | −0.343438 | − | 1.28173i | ||||
\(579\) | −82.3089 | − | 307.181i | −0.142157 | − | 0.530537i | ||||
\(580\) | −314.888 | − | 65.3334i | −0.542910 | − | 0.112644i | ||||
\(581\) | −20.3639 | + | 35.2714i | −0.0350498 | + | 0.0607080i | ||||
\(582\) | 162.135 | + | 280.825i | 0.278582 | + | 0.482518i | ||||
\(583\) | −41.5036 | + | 154.894i | −0.0711897 | + | 0.265684i | ||||
\(584\) | 287.825i | 0.492850i | ||||||||
\(585\) | 60.8387 | − | 84.3805i | 0.103998 | − | 0.144240i | ||||
\(586\) | 574.686 | 0.980693 | ||||||||
\(587\) | 488.036 | + | 130.769i | 0.831407 | + | 0.222775i | 0.649327 | − | 0.760509i | \(-0.275050\pi\) |
0.182080 | + | 0.983284i | \(0.441717\pi\) | |||||||
\(588\) | −183.749 | + | 106.088i | −0.312499 | + | 0.180421i | ||||
\(589\) | 268.441 | + | 154.984i | 0.455757 | + | 0.263131i | ||||
\(590\) | −543.992 | − | 112.868i | −0.922021 | − | 0.191302i | ||||
\(591\) | −348.784 | + | 93.4564i | −0.590159 | + | 0.158133i | ||||
\(592\) | −154.160 | + | 41.3070i | −0.260405 | + | 0.0697753i | ||||
\(593\) | −59.9362 | − | 59.9362i | −0.101073 | − | 0.101073i | 0.654762 | − | 0.755835i | \(-0.272769\pi\) |
−0.755835 | + | 0.654762i | \(0.772769\pi\) | |||||||
\(594\) | 60.2821 | − | 104.412i | 0.101485 | − | 0.175777i | ||||
\(595\) | 521.724 | + | 262.645i | 0.876848 | + | 0.441421i | ||||
\(596\) | 527.203 | + | 141.264i | 0.884570 | + | 0.237020i | ||||
\(597\) | −737.663 | −1.23562 | ||||||||
\(598\) | −83.0060 | + | 31.7463i | −0.138806 | + | 0.0530875i | ||||
\(599\) | −577.060 | −0.963372 | −0.481686 | − | 0.876344i | \(-0.659976\pi\) | ||||
−0.481686 | + | 0.876344i | \(0.659976\pi\) | |||||||
\(600\) | −180.316 | − | 143.137i | −0.300526 | − | 0.238562i | ||||
\(601\) | 78.2039 | + | 135.453i | 0.130123 | + | 0.225380i | 0.923724 | − | 0.383059i | \(-0.125129\pi\) |
−0.793601 | + | 0.608439i | \(0.791796\pi\) | |||||||
\(602\) | 52.5484 | − | 91.0165i | 0.0872897 | − | 0.151190i | ||||
\(603\) | −26.3427 | + | 26.3427i | −0.0436860 | + | 0.0436860i | ||||
\(604\) | −355.263 | + | 95.1924i | −0.588184 | + | 0.157603i | ||||
\(605\) | 360.967 | − | 404.834i | 0.596639 | − | 0.669148i | ||||
\(606\) | −32.8282 | + | 32.8282i | −0.0541719 | + | 0.0541719i | ||||
\(607\) | −223.911 | − | 129.275i | −0.368881 | − | 0.212973i | 0.304089 | − | 0.952644i | \(-0.401648\pi\) |
−0.672969 | + | 0.739670i | \(0.734981\pi\) | |||||||
\(608\) | −103.623 | − | 179.481i | −0.170433 | − | 0.295199i | ||||
\(609\) | 409.776 | + | 109.799i | 0.672867 | + | 0.180294i | ||||
\(610\) | 286.503 | + | 436.516i | 0.469677 | + | 0.715601i | ||||
\(611\) | −381.922 | + | 470.454i | −0.625077 | + | 0.769973i | ||||
\(612\) | − | 92.2881i | − | 0.150798i | ||||||
\(613\) | −827.285 | − | 221.670i | −1.34957 | − | 0.361615i | −0.489592 | − | 0.871952i | \(-0.662854\pi\) |
−0.859975 | + | 0.510336i | \(0.829521\pi\) | |||||||
\(614\) | −302.437 | − | 523.836i | −0.492569 | − | 0.853154i | ||||
\(615\) | 313.075 | − | 17.9338i | 0.509065 | − | 0.0291607i | ||||
\(616\) | −28.6746 | − | 28.6746i | −0.0465497 | − | 0.0465497i | ||||
\(617\) | −218.750 | − | 816.384i | −0.354537 | − | 1.32315i | −0.881066 | − | 0.472994i | \(-0.843173\pi\) |
0.526528 | − | 0.850158i | \(-0.323493\pi\) | |||||||
\(618\) | 17.0535 | − | 4.56948i | 0.0275947 | − | 0.00739398i | ||||
\(619\) | −283.530 | + | 283.530i | −0.458045 | + | 0.458045i | −0.898013 | − | 0.439968i | \(-0.854990\pi\) |
0.439968 | + | 0.898013i | \(0.354990\pi\) | |||||||
\(620\) | 84.4683 | − | 4.83859i | 0.136239 | − | 0.00780418i | ||||
\(621\) | 100.855 | − | 58.2284i | 0.162407 | − | 0.0937656i | ||||
\(622\) | 145.552 | − | 543.206i | 0.234006 | − | 0.873322i | ||||
\(623\) | 120.615 | 0.193604 | ||||||||
\(624\) | 69.0513 | − | 154.581i | 0.110659 | − | 0.247727i | ||||
\(625\) | 427.157 | + | 456.247i | 0.683452 | + | 0.729996i | ||||
\(626\) | 42.0180 | − | 156.813i | 0.0671214 | − | 0.250501i | ||||
\(627\) | 365.543 | − | 211.046i | 0.583003 | − | 0.336597i | ||||
\(628\) | 91.4614 | − | 158.416i | 0.145639 | − | 0.252255i | ||||
\(629\) | 813.466 | + | 813.466i | 1.29327 | + | 1.29327i | ||||
\(630\) | 34.2226 | + | 30.5142i | 0.0543215 | + | 0.0484353i | ||||
\(631\) | −50.5333 | − | 188.593i | −0.0800845 | − | 0.298879i | 0.914254 | − | 0.405142i | \(-0.132778\pi\) |
−0.994338 | + | 0.106263i | \(0.966111\pi\) | |||||||
\(632\) | 6.02280 | + | 6.02280i | 0.00952974 | + | 0.00952974i | ||||
\(633\) | 967.367 | + | 558.509i | 1.52823 | + | 0.882321i | ||||
\(634\) | −624.904 | + | 360.788i | −0.985652 | + | 0.569067i | ||||
\(635\) | 448.470 | − | 148.131i | 0.706252 | − | 0.233277i | ||||
\(636\) | − | 295.085i | − | 0.463970i | ||||||
\(637\) | 248.561 | + | 342.998i | 0.390205 | + | 0.538458i | ||||
\(638\) | − | 160.937i | − | 0.252253i | ||||||
\(639\) | 40.7208 | − | 151.972i | 0.0637258 | − | 0.237828i | ||||
\(640\) | −50.5272 | − | 25.4363i | −0.0789487 | − | 0.0397442i | ||||
\(641\) | 147.535 | + | 85.1795i | 0.230164 | + | 0.132885i | 0.610648 | − | 0.791902i | \(-0.290909\pi\) |
−0.380484 | + | 0.924788i | \(0.624242\pi\) | |||||||
\(642\) | 29.6216 | − | 29.6216i | 0.0461396 | − | 0.0461396i | ||||
\(643\) | 53.9075 | + | 201.186i | 0.0838375 | + | 0.312886i | 0.995092 | − | 0.0989589i | \(-0.0315512\pi\) |
−0.911254 | + | 0.411845i | \(0.864885\pi\) | |||||||
\(644\) | −10.1381 | − | 37.8358i | −0.0157424 | − | 0.0587513i | ||||
\(645\) | 292.361 | + | 60.6595i | 0.453273 | + | 0.0940458i | ||||
\(646\) | −746.939 | + | 1293.74i | −1.15625 | + | 2.00269i | ||||
\(647\) | 257.996 | + | 446.862i | 0.398757 | + | 0.690667i | 0.993573 | − | 0.113195i | \(-0.0361084\pi\) |
−0.594816 | + | 0.803862i | \(0.702775\pi\) | |||||||
\(648\) | −67.9653 | + | 253.650i | −0.104885 | + | 0.391435i | ||||
\(649\) | − | 278.031i | − | 0.428400i | ||||||
\(650\) | −247.043 | + | 387.582i | −0.380066 | + | 0.596280i | ||||
\(651\) | −111.609 | −0.171443 | ||||||||
\(652\) | −522.964 | − | 140.128i | −0.802091 | − | 0.214920i | ||||
\(653\) | −194.825 | + | 112.482i | −0.298353 | + | 0.172254i | −0.641703 | − | 0.766953i | \(-0.721772\pi\) |
0.343350 | + | 0.939208i | \(0.388438\pi\) | |||||||
\(654\) | 401.364 | + | 231.727i | 0.613706 | + | 0.354323i | ||||
\(655\) | 13.6537 | − | 65.8070i | 0.0208454 | − | 0.100469i | ||||
\(656\) | 74.4272 | − | 19.9427i | 0.113456 | − | 0.0304005i | ||||
\(657\) | 157.310 | − | 42.1510i | 0.239436 | − | 0.0641567i | ||||
\(658\) | −188.858 | − | 188.858i | −0.287019 | − | 0.287019i | ||||
\(659\) | 122.199 | − | 211.655i | 0.185431 | − | 0.321176i | −0.758291 | − | 0.651917i | \(-0.773965\pi\) |
0.943722 | + | 0.330741i | \(0.107299\pi\) | |||||||
\(660\) | 51.8052 | − | 102.907i | 0.0784928 | − | 0.155920i | ||||
\(661\) | 871.373 | + | 233.484i | 1.31827 | + | 0.353228i | 0.848328 | − | 0.529471i | \(-0.177610\pi\) |
0.469938 | + | 0.882700i | \(0.344276\pi\) | |||||||
\(662\) | 305.482 | 0.461453 | ||||||||
\(663\) | −1213.84 | + | 126.075i | −1.83083 | + | 0.190159i | ||||
\(664\) | −28.4317 | −0.0428188 | ||||||||
\(665\) | −232.778 | − | 704.744i | −0.350043 | − | 1.05977i | ||||
\(666\) | 45.1524 | + | 78.2062i | 0.0677964 | + | 0.117427i | ||||
\(667\) | 77.7273 | − | 134.628i | 0.116533 | − | 0.201840i | ||||
\(668\) | 233.161 | − | 233.161i | 0.349044 | − | 0.349044i | ||||
\(669\) | 650.845 | − | 174.393i | 0.972862 | − | 0.260678i | ||||
\(670\) | 109.543 | − | 122.856i | 0.163498 | − | 0.183367i | ||||
\(671\) | −184.766 | + | 184.766i | −0.275359 | + | 0.275359i | ||||
\(672\) | 64.6250 | + | 37.3113i | 0.0961682 | + | 0.0555227i | ||||
\(673\) | 535.528 | + | 927.562i | 0.795733 | + | 1.37825i | 0.922373 | + | 0.386301i | \(0.126247\pi\) |
−0.126640 | + | 0.991949i | \(0.540419\pi\) | |||||||
\(674\) | 56.6921 | + | 15.1906i | 0.0841129 | + | 0.0225380i | ||||
\(675\) | 239.615 | − | 552.579i | 0.354986 | − | 0.818636i | ||||
\(676\) | −321.200 | − | 105.236i | −0.475148 | − | 0.155674i | ||||
\(677\) | 405.050i | 0.598301i | 0.954206 | + | 0.299150i | \(0.0967032\pi\) | ||||
−0.954206 | + | 0.299150i | \(0.903297\pi\) | |||||||
\(678\) | 764.234 | + | 204.776i | 1.12719 | + | 0.302029i | ||||
\(679\) | 142.670 | + | 247.112i | 0.210118 | + | 0.363935i | ||||
\(680\) | 23.3193 | + | 407.090i | 0.0342931 | + | 0.598662i | ||||
\(681\) | 87.1308 | + | 87.1308i | 0.127945 | + | 0.127945i | ||||
\(682\) | 10.9585 | + | 40.8976i | 0.0160681 | + | 0.0599671i | ||||
\(683\) | −535.467 | + | 143.478i | −0.783992 | + | 0.210070i | −0.628544 | − | 0.777774i | \(-0.716349\pi\) |
−0.155448 | + | 0.987844i | \(0.549682\pi\) | |||||||
\(684\) | −82.9195 | + | 82.9195i | −0.121227 | + | 0.121227i | ||||
\(685\) | −29.8154 | − | 520.493i | −0.0435261 | − | 0.759844i | ||||
\(686\) | −404.841 | + | 233.735i | −0.590147 | + | 0.340722i | ||||
\(687\) | 177.561 | − | 662.666i | 0.258458 | − | 0.964580i | ||||
\(688\) | 73.3670 | 0.106638 | ||||||||
\(689\) | −585.961 | + | 60.8608i | −0.850452 | + | 0.0883320i | ||||
\(690\) | 93.0368 | − | 61.0638i | 0.134836 | − | 0.0884983i | ||||
\(691\) | −188.130 | + | 702.111i | −0.272258 | + | 1.01608i | 0.685399 | + | 0.728168i | \(0.259628\pi\) |
−0.957657 | + | 0.287912i | \(0.907039\pi\) | |||||||
\(692\) | 244.454 | − | 141.135i | 0.353257 | − | 0.203953i | ||||
\(693\) | −11.4727 | + | 19.8713i | −0.0165552 | + | 0.0286744i | ||||
\(694\) | 114.790 | + | 114.790i | 0.165403 | + | 0.165403i | ||||
\(695\) | 264.466 | + | 235.809i | 0.380527 | + | 0.339294i | ||||
\(696\) | 76.6496 | + | 286.060i | 0.110129 | + | 0.411006i | ||||
\(697\) | −392.736 | − | 392.736i | −0.563466 | − | 0.563466i | ||||
\(698\) | −290.484 | − | 167.711i | −0.416166 | − | 0.240273i | ||||
\(699\) | 250.117 | − | 144.405i | 0.357821 | − | 0.206588i | ||||
\(700\) | −158.669 | − | 125.953i | −0.226670 | − | 0.179933i | ||||
\(701\) | 579.414i | 0.826553i | 0.910605 | + | 0.413277i | \(0.135616\pi\) | ||||
−0.910605 | + | 0.413277i | \(0.864384\pi\) | |||||||
\(702\) | 437.384 | + | 69.8246i | 0.623054 | + | 0.0994653i | ||||
\(703\) | − | 1461.77i | − | 2.07934i | ||||||
\(704\) | 7.32690 | − | 27.3443i | 0.0104075 | − | 0.0388414i | ||||
\(705\) | 341.203 | − | 677.772i | 0.483975 | − | 0.961379i | ||||
\(706\) | 63.5135 | + | 36.6695i | 0.0899624 | + | 0.0519398i | ||||
\(707\) | −28.8871 | + | 28.8871i | −0.0408587 | + | 0.0408587i | ||||
\(708\) | 132.418 | + | 494.191i | 0.187031 | + | 0.698010i | ||||
\(709\) | −97.9302 | − | 365.480i | −0.138124 | − | 0.515487i | −0.999965 | − | 0.00830885i | \(-0.997355\pi\) |
0.861841 | − | 0.507178i | \(-0.169311\pi\) | |||||||
\(710\) | −141.222 | + | 680.651i | −0.198905 | + | 0.958663i | ||||
\(711\) | 2.40972 | − | 4.17376i | 0.00338920 | − | 0.00587027i | ||||
\(712\) | 42.1002 | + | 72.9197i | 0.0591295 | + | 0.102415i | ||||
\(713\) | −10.5851 | + | 39.5043i | −0.0148459 | + | 0.0554057i | ||||
\(714\) | − | 537.895i | − | 0.753354i | ||||||
\(715\) | −215.031 | − | 81.6473i | −0.300743 | − | 0.114192i | ||||
\(716\) | −611.063 | −0.853440 | ||||||||
\(717\) | −90.3793 | − | 24.2170i | −0.126052 | − | 0.0337755i | ||||
\(718\) | −53.7551 | + | 31.0355i | −0.0748678 | + | 0.0432250i | ||||
\(719\) | 510.152 | + | 294.537i | 0.709530 | + | 0.409647i | 0.810887 | − | 0.585203i | \(-0.198985\pi\) |
−0.101357 | + | 0.994850i | \(0.532318\pi\) | |||||||
\(720\) | −6.50258 | + | 31.3405i | −0.00903137 | + | 0.0435285i | ||||
\(721\) | 15.0063 | − | 4.02091i | 0.0208131 | − | 0.00557686i | ||||
\(722\) | 1340.38 | − | 359.154i | 1.85648 | − | 0.497443i | ||||
\(723\) | 531.691 | + | 531.691i | 0.735396 | + | 0.735396i | ||||
\(724\) | −261.469 | + | 452.877i | −0.361144 | + | 0.625521i | ||||
\(725\) | −91.8080 | − | 798.726i | −0.126632 | − | 1.10169i | ||||
\(726\) | −482.461 | − | 129.275i | −0.664547 | − | 0.178065i | ||||
\(727\) | 1105.76 | 1.52099 | 0.760496 | − | 0.649343i | \(-0.224956\pi\) | ||||
0.760496 | + | 0.649343i | \(0.224956\pi\) | |||||||
\(728\) | 60.7616 | − | 136.024i | 0.0834638 | − | 0.186846i | ||||
\(729\) | −557.364 | −0.764559 | ||||||||
\(730\) | −683.255 | + | 225.680i | −0.935965 | + | 0.309151i | ||||
\(731\) | −264.422 | − | 457.993i | −0.361727 | − | 0.626529i | ||||
\(732\) | 240.416 | − | 416.413i | 0.328437 | − | 0.568870i | ||||
\(733\) | 440.233 | − | 440.233i | 0.600590 | − | 0.600590i | −0.339879 | − | 0.940469i | \(-0.610386\pi\) |
0.940469 | + | 0.339879i | \(0.110386\pi\) | |||||||
\(734\) | 659.045 | − | 176.591i | 0.897881 | − | 0.240587i | ||||
\(735\) | −395.913 | − | 353.013i | −0.538658 | − | 0.480289i | ||||
\(736\) | 19.3355 | − | 19.3355i | 0.0262711 | − | 0.0262711i | ||||
\(737\) | 71.3363 | + | 41.1860i | 0.0967928 | + | 0.0558833i | ||||
\(738\) | −21.7993 | − | 37.7574i | −0.0295383 | − | 0.0511618i | ||||
\(739\) | −211.116 | − | 56.5684i | −0.285678 | − | 0.0765472i | 0.113134 | − | 0.993580i | \(-0.463911\pi\) |
−0.398813 | + | 0.917032i | \(0.630578\pi\) | |||||||
\(740\) | −218.932 | − | 333.565i | −0.295854 | − | 0.450763i | ||||
\(741\) | 1203.89 | + | 977.340i | 1.62469 | + | 1.31895i | ||||
\(742\) | − | 259.660i | − | 0.349946i | ||||||
\(743\) | 645.789 | + | 173.039i | 0.869164 | + | 0.232892i | 0.665726 | − | 0.746196i | \(-0.268122\pi\) |
0.203438 | + | 0.979088i | \(0.434789\pi\) | |||||||
\(744\) | −38.9566 | − | 67.4748i | −0.0523610 | − | 0.0906919i | ||||
\(745\) | 78.0349 | + | 1362.27i | 0.104745 | + | 1.82855i | ||||
\(746\) | 367.433 | + | 367.433i | 0.492537 | + | 0.492537i | ||||
\(747\) | 4.16373 | + | 15.5392i | 0.00557393 | + | 0.0208022i | ||||
\(748\) | −197.104 | + | 52.8138i | −0.263508 | + | 0.0706066i | ||||
\(749\) | 26.0655 | − | 26.0655i | 0.0348004 | − | 0.0348004i | ||||
\(750\) | 198.403 | − | 540.276i | 0.264538 | − | 0.720369i | ||||
\(751\) | −840.285 | + | 485.139i | −1.11889 | + | 0.645990i | −0.941117 | − | 0.338082i | \(-0.890222\pi\) |
−0.177771 | + | 0.984072i | \(0.556889\pi\) | |||||||
\(752\) | 48.2568 | − | 180.097i | 0.0641713 | − | 0.239491i | ||||
\(753\) | 1568.67 | 2.08323 | ||||||||
\(754\) | 552.232 | − | 211.206i | 0.732404 | − | 0.280114i | ||||
\(755\) | −504.532 | − | 768.705i | −0.668254 | − | 1.01815i | ||||
\(756\) | −50.5277 | + | 188.572i | −0.0668356 | + | 0.249434i | ||||
\(757\) | −52.9473 | + | 30.5691i | −0.0699435 | + | 0.0403819i | −0.534564 | − | 0.845128i | \(-0.679524\pi\) |
0.464620 | + | 0.885510i | \(0.346191\pi\) | |||||||
\(758\) | −19.1989 | + | 33.2534i | −0.0253283 | + | 0.0438700i | ||||
\(759\) | 39.3800 | + | 39.3800i | 0.0518840 | + | 0.0518840i | ||||
\(760\) | 344.812 | − | 386.717i | 0.453700 | − | 0.508838i | ||||
\(761\) | 197.135 | + | 735.719i | 0.259048 | + | 0.966780i | 0.965794 | + | 0.259312i | \(0.0834958\pi\) |
−0.706746 | + | 0.707468i | \(0.749837\pi\) | |||||||
\(762\) | −307.546 | − | 307.546i | −0.403604 | − | 0.403604i | ||||
\(763\) | 353.180 | + | 203.908i | 0.462883 | + | 0.267246i | ||||
\(764\) | 356.123 | − | 205.608i | 0.466129 | − | 0.269120i | ||||
\(765\) | 219.079 | − | 72.3622i | 0.286378 | − | 0.0945911i | ||||
\(766\) | − | 13.0167i | − | 0.0169930i | ||||||
\(767\) | 954.024 | − | 364.874i | 1.24384 | − | 0.475716i | ||||
\(768\) | 52.0932i | 0.0678297i | ||||||||
\(769\) | 332.663 | − | 1241.52i | 0.432592 | − | 1.61445i | −0.314173 | − | 0.949366i | \(-0.601727\pi\) |
0.746765 | − | 0.665088i | \(-0.231606\pi\) | |||||||
\(770\) | 45.5860 | − | 90.5530i | 0.0592026 | − | 0.117601i | ||||
\(771\) | −836.999 | − | 483.242i | −1.08560 | − | 0.626773i | ||||
\(772\) | 138.135 | − | 138.135i | 0.178932 | − | 0.178932i | ||||
\(773\) | −218.941 | − | 817.097i | −0.283235 | − | 1.05705i | −0.950120 | − | 0.311886i | \(-0.899039\pi\) |
0.666885 | − | 0.745161i | \(-0.267627\pi\) | |||||||
\(774\) | −10.7444 | − | 40.0985i | −0.0138816 | − | 0.0518068i | ||||
\(775\) | 77.7168 | + | 196.722i | 0.100280 | + | 0.253835i | ||||
\(776\) | −99.5966 | + | 172.506i | −0.128346 | + | 0.222302i | ||||
\(777\) | 263.167 | + | 455.819i | 0.338697 | + | 0.586640i | ||||
\(778\) | −250.496 | + | 934.862i | −0.321974 | + | 1.20162i | ||||
\(779\) | 705.734i | 0.905949i | ||||||||
\(780\) | 421.097 | + | 42.7122i | 0.539868 | + | 0.0547593i | ||||
\(781\) | −347.877 | −0.445425 | ||||||||
\(782\) | −190.389 | − | 51.0145i | −0.243464 | − | 0.0652360i | ||||
\(783\) | −670.977 | + | 387.389i | −0.856931 | + | 0.494750i | ||||
\(784\) | −112.874 | − | 65.1680i | −0.143972 | − | 0.0831224i | ||||
\(785\) | 447.771 | + | 92.9042i | 0.570409 | + | 0.118349i | ||||
\(786\) | −59.7825 | + | 16.0187i | −0.0760592 | + | 0.0203800i | ||||
\(787\) | −713.100 | + | 191.075i | −0.906099 | + | 0.242788i | −0.681634 | − | 0.731694i | \(-0.738730\pi\) |
−0.224465 | + | 0.974482i | \(0.572064\pi\) | |||||||
\(788\) | −156.844 | − | 156.844i | −0.199040 | − | 0.199040i | ||||
\(789\) | −610.280 | + | 1057.04i | −0.773485 | + | 1.33972i | ||||
\(790\) | −9.57485 | + | 19.0197i | −0.0121201 | + | 0.0240755i | ||||
\(791\) | 672.488 | + | 180.193i | 0.850174 | + | 0.227803i | ||||
\(792\) | −16.0180 | −0.0202247 | ||||||||
\(793\) | −876.472 | − | 391.519i | −1.10526 | − | 0.493719i | ||||
\(794\) | 1032.00 | 1.29975 | ||||||||
\(795\) | 700.489 | − | 231.373i | 0.881119 | − | 0.291035i | ||||
\(796\) | −226.567 | − | 392.426i | −0.284632 | − | 0.492997i | ||||
\(797\) | −127.091 | + | 220.128i | −0.159461 | + | 0.276195i | −0.934675 | − | 0.355504i | \(-0.884309\pi\) |
0.775213 | + | 0.631700i | \(0.217642\pi\) | |||||||
\(798\) | −483.290 | + | 483.290i | −0.605627 | + | 0.605627i | ||||
\(799\) | −1298.18 | + | 347.845i | −1.62475 | + | 0.435351i | ||||
\(800\) | 20.7643 | − | 139.889i | 0.0259554 | − | 0.174861i | ||||
\(801\) | 33.6886 | − | 33.6886i | 0.0420581 | − | 0.0420581i | ||||
\(802\) | −374.808 | − | 216.395i | −0.467341 | − | 0.269820i | ||||
\(803\) | −180.047 | − | 311.851i | −0.224218 | − | 0.388357i | ||||
\(804\) | −146.413 | − | 39.2314i | −0.182106 | − | 0.0487952i | ||||
\(805\) | 81.8677 | − | 53.7331i | 0.101699 | − | 0.0667491i | ||||
\(806\) | −125.953 | + | 91.2742i | −0.156269 | + | 0.113243i | ||||
\(807\) | 502.664i | 0.622880i | ||||||||
\(808\) | −27.5470 | − | 7.38119i | −0.0340928 | − | 0.00913514i | ||||
\(809\) | 268.944 | + | 465.825i | 0.332440 | + | 0.575803i | 0.982990 | − | 0.183661i | \(-0.0587948\pi\) |
−0.650550 | + | 0.759464i | \(0.725461\pi\) | |||||||
\(810\) | −655.420 | + | 37.5444i | −0.809160 | + | 0.0463511i | ||||
\(811\) | −487.640 | − | 487.640i | −0.601282 | − | 0.601282i | 0.339371 | − | 0.940653i | \(-0.389786\pi\) |
−0.940653 | + | 0.339371i | \(0.889786\pi\) | |||||||
\(812\) | 67.4478 | + | 251.719i | 0.0830638 | + | 0.309998i | ||||
\(813\) | −1495.33 | + | 400.674i | −1.83928 | + | 0.492834i | ||||
\(814\) | 141.189 | − | 141.189i | 0.173451 | − | 0.173451i | ||||
\(815\) | −77.4073 | − | 1351.31i | −0.0949783 | − | 1.65805i | ||||
\(816\) | 325.191 | − | 187.749i | 0.398519 | − | 0.230085i | ||||
\(817\) | −173.920 | + | 649.079i | −0.212876 | + | 0.794466i | ||||
\(818\) | −298.787 | −0.365265 | ||||||||
\(819\) | −83.2417 | − | 13.2888i | −0.101638 | − | 0.0162257i | ||||
\(820\) | 105.699 | + | 161.043i | 0.128901 | + | 0.196394i | ||||
\(821\) | −83.8171 | + | 312.810i | −0.102092 | + | 0.381011i | −0.997999 | − | 0.0632300i | \(-0.979860\pi\) |
0.895907 | + | 0.444241i | \(0.146526\pi\) | |||||||
\(822\) | −415.780 | + | 240.050i | −0.505814 | + | 0.292032i | ||||
\(823\) | −54.9326 | + | 95.1461i | −0.0667468 | + | 0.115609i | −0.897468 | − | 0.441081i | \(-0.854595\pi\) |
0.830721 | + | 0.556689i | \(0.187929\pi\) | |||||||
\(824\) | 7.66875 | + | 7.66875i | 0.00930673 | + | 0.00930673i | ||||
\(825\) | 284.907 | + | 42.2900i | 0.345341 | + | 0.0512606i | ||||
\(826\) | 116.521 | + | 434.863i | 0.141067 | + | 0.526469i | ||||
\(827\) | −263.643 | − | 263.643i | −0.318794 | − | 0.318794i | 0.529510 | − | 0.848304i | \(-0.322376\pi\) |
−0.848304 | + | 0.529510i | \(0.822376\pi\) | |||||||
\(828\) | −13.3994 | − | 7.73614i | −0.0161828 | − | 0.00934316i | ||||
\(829\) | 784.970 | − | 453.203i | 0.946888 | − | 0.546686i | 0.0547754 | − | 0.998499i | \(-0.482556\pi\) |
0.892113 | + | 0.451812i | \(0.149222\pi\) | |||||||
\(830\) | −22.2930 | − | 67.4928i | −0.0268590 | − | 0.0813166i | ||||
\(831\) | 479.023i | 0.576441i | ||||||||
\(832\) | 103.444 | − | 10.7441i | 0.124331 | − | 0.0129136i | ||||
\(833\) | 939.488i | 1.12784i | ||||||||
\(834\) | 84.4516 | − | 315.178i | 0.101261 | − | 0.377911i | ||||
\(835\) | 736.311 | + | 370.672i | 0.881810 | + | 0.443919i | ||||
\(836\) | 224.547 | + | 129.642i | 0.268597 | + | 0.155075i | ||||
\(837\) | 144.132 | − | 144.132i | 0.172200 | − | 0.172200i | ||||
\(838\) | 18.6443 | + | 69.5816i | 0.0222486 | + | 0.0830329i | ||||
\(839\) | −138.348 | − | 516.323i | −0.164897 | − | 0.615402i | −0.998053 | − | 0.0623656i | \(-0.980136\pi\) |
0.833157 | − | 0.553037i | \(-0.186531\pi\) | |||||||
\(840\) | −37.8998 | + | 182.666i | −0.0451189 | + | 0.217460i | ||||
\(841\) | −96.6132 | + | 167.339i | −0.114879 | + | 0.198976i | ||||
\(842\) | −217.184 | − | 376.173i | −0.257938 | − | 0.446761i | ||||
\(843\) | −241.497 | + | 901.280i | −0.286474 | + | 1.06913i | ||||
\(844\) | 686.166i | 0.812993i | ||||||||
\(845\) | −2.03517 | − | 844.998i | −0.00240849 | − | 0.999997i | ||||
\(846\) | −105.498 | −0.124703 | ||||||||
\(847\) | −424.541 | − | 113.756i | −0.501230 | − | 0.134304i | ||||
\(848\) | 156.981 | − | 90.6329i | 0.185119 | − | 0.106878i | ||||
\(849\) | −1321.90 | − | 763.200i | −1.55701 | − | 0.898940i | ||||
\(850\) | −948.090 | + | 374.552i | −1.11540 | + | 0.440650i | ||||
\(851\) | 186.297 | − | 49.9182i | 0.218916 | − | 0.0586583i | ||||
\(852\) | 618.339 | − | 165.683i | 0.725750 | − | 0.194464i | ||||
\(853\) | 397.106 | + | 397.106i | 0.465540 | + | 0.465540i | 0.900466 | − | 0.434926i | \(-0.143225\pi\) |
−0.434926 | + | 0.900466i | \(0.643225\pi\) | |||||||
\(854\) | 211.554 | − | 366.422i | 0.247721 | − | 0.429066i | ||||
\(855\) | −261.855 | − | 131.823i | −0.306264 | − | 0.154179i | ||||
\(856\) | 24.8563 | + | 6.66022i | 0.0290377 | + | 0.00778064i | ||||
\(857\) | −771.800 | −0.900583 | −0.450292 | − | 0.892882i | \(-0.648680\pi\) | ||||
−0.450292 | + | 0.892882i | \(0.648680\pi\) | |||||||
\(858\) | 21.8822 | + | 210.680i | 0.0255038 | + | 0.245548i | ||||
\(859\) | −783.308 | −0.911883 | −0.455942 | − | 0.890010i | \(-0.650697\pi\) | ||||
−0.455942 | + | 0.890010i | \(0.650697\pi\) | |||||||
\(860\) | 57.5263 | + | 174.163i | 0.0668911 | + | 0.202515i | ||||
\(861\) | −127.055 | − | 220.066i | −0.147567 | − | 0.255594i | ||||
\(862\) | 241.370 | − | 418.065i | 0.280012 | − | 0.484995i | ||||
\(863\) | 509.490 | − | 509.490i | 0.590371 | − | 0.590371i | −0.347361 | − | 0.937732i | \(-0.612922\pi\) |
0.937732 | + | 0.347361i | \(0.112922\pi\) | |||||||
\(864\) | −131.640 | + | 35.2729i | −0.152361 | + | 0.0408251i | ||||
\(865\) | 526.709 | + | 469.636i | 0.608913 | + | 0.542932i | ||||
\(866\) | 605.036 | − | 605.036i | 0.698656 | − | 0.698656i | ||||
\(867\) | −1529.17 | − | 882.869i | −1.76375 | − | 1.01830i | ||||
\(868\) | −34.2798 | − | 59.3744i | −0.0394929 | − | 0.0684037i | ||||
\(869\) | −10.2931 | − | 2.75803i | −0.0118448 | − | 0.00317379i | ||||
\(870\) | −618.967 | + | 406.252i | −0.711456 | + | 0.466957i | ||||
\(871\) | −47.7057 | + | 298.830i | −0.0547712 | + | 0.343089i | ||||
\(872\) | 284.693i | 0.326482i | ||||||||
\(873\) | 108.868 | + | 29.1712i | 0.124706 | + | 0.0334149i | ||||
\(874\) | 125.226 | + | 216.897i | 0.143279 | + | 0.248166i | ||||
\(875\) | 174.585 | − | 475.416i | 0.199526 | − | 0.543333i | ||||
\(876\) | 468.553 | + | 468.553i | 0.534878 | + | 0.534878i | ||||
\(877\) | 50.5489 | + | 188.651i | 0.0576384 | + | 0.215110i | 0.988738 | − | 0.149655i | \(-0.0478162\pi\) |
−0.931100 | + | 0.364764i | \(0.881150\pi\) | |||||||
\(878\) | 38.4624 | − | 10.3060i | 0.0438068 | − | 0.0117380i | ||||
\(879\) | 935.539 | − | 935.539i | 1.06432 | − | 1.06432i | ||||
\(880\) | 70.6566 | − | 4.04742i | 0.0802915 | − | 0.00459934i | ||||
\(881\) | −940.467 | + | 542.979i | −1.06750 | + | 0.616321i | −0.927497 | − | 0.373830i | \(-0.878044\pi\) |
−0.140002 | + | 0.990151i | \(0.544711\pi\) | |||||||
\(882\) | −19.0873 | + | 71.2347i | −0.0216409 | + | 0.0807649i | ||||
\(883\) | −801.828 | −0.908073 | −0.454036 | − | 0.890983i | \(-0.650016\pi\) | ||||
−0.454036 | + | 0.890983i | \(0.650016\pi\) | |||||||
\(884\) | −439.891 | − | 607.022i | −0.497615 | − | 0.686677i | ||||
\(885\) | −1069.31 | + | 701.832i | −1.20826 | + | 0.793031i | ||||
\(886\) | −9.98324 | + | 37.2579i | −0.0112678 | + | 0.0420519i | ||||
\(887\) | −428.914 | + | 247.634i | −0.483556 | + | 0.279181i | −0.721897 | − | 0.692000i | \(-0.756730\pi\) |
0.238341 | + | 0.971181i | \(0.423396\pi\) | |||||||
\(888\) | −183.714 | + | 318.203i | −0.206886 | + | 0.358336i | ||||
\(889\) | −270.625 | − | 270.625i | −0.304415 | − | 0.304415i | ||||
\(890\) | −140.091 | + | 157.115i | −0.157405 | + | 0.176534i | ||||
\(891\) | −85.0308 | − | 317.339i | −0.0954329 | − | 0.356161i | ||||
\(892\) | 292.676 | + | 292.676i | 0.328113 | + | 0.328113i | ||||
\(893\) | 1478.92 | + | 853.858i | 1.65613 | + | 0.956167i | ||||
\(894\) | 1088.21 | − | 628.276i | 1.21723 | − | 0.702770i | ||||
\(895\) | −479.128 | − | 1450.58i | −0.535339 | − | 1.62076i | ||||
\(896\) | 45.8394i | 0.0511600i | ||||||||
\(897\) | −83.4463 | + | 186.807i | −0.0930283 | + | 0.208257i | ||||
\(898\) | − | 585.887i | − | 0.652435i | ||||||
\(899\) | 70.4221 | − | 262.819i | 0.0783338 | − | 0.292346i | ||||
\(900\) | −79.4966 | + | 9.13758i | −0.0883295 | + | 0.0101529i | ||||
\(901\) | −1131.55 | − | 653.300i | −1.25588 | − | 0.725084i | ||||
\(902\) | −68.1651 | + | 68.1651i | −0.0755711 | + | 0.0755711i | ||||
\(903\) | −62.6227 | − | 233.711i | −0.0693496 | − | 0.258816i | ||||
\(904\) | 125.791 | + | 469.457i | 0.139149 | + | 0.519310i | ||||
\(905\) | −1280.08 | − | 265.593i | −1.41445 | − | 0.293473i | ||||
\(906\) | −423.372 | + | 733.302i | −0.467298 | + | 0.809384i | ||||
\(907\) | −364.384 | − | 631.131i | −0.401746 | − | 0.695844i | 0.592191 | − | 0.805798i | \(-0.298263\pi\) |
−0.993937 | + | 0.109953i | \(0.964930\pi\) | |||||||
\(908\) | −19.5908 | + | 73.1138i | −0.0215757 | + | 0.0805218i | ||||
\(909\) | 16.1367i | 0.0177521i | ||||||||
\(910\) | 370.544 | + | 37.5846i | 0.407191 | + | 0.0413018i | ||||
\(911\) | 1572.96 | 1.72663 | 0.863315 | − | 0.504666i | \(-0.168384\pi\) | ||||
0.863315 | + | 0.504666i | \(0.168384\pi\) | |||||||
\(912\) | −460.869 | − | 123.490i | −0.505339 | − | 0.135405i | ||||
\(913\) | 30.8051 | − | 17.7853i | 0.0337405 | − | 0.0194801i | ||||
\(914\) | −291.162 | − | 168.102i | −0.318558 | − | 0.183919i | ||||
\(915\) | 1177.01 | + | 244.208i | 1.28635 | + | 0.266894i | ||||
\(916\) | 407.065 | − | 109.073i | 0.444394 | − | 0.119075i | ||||
\(917\) | −52.6056 | + | 14.0956i | −0.0573671 | + | 0.0153715i | ||||
\(918\) | 694.635 | + | 694.635i | 0.756683 | + | 0.756683i | ||||
\(919\) | 63.7383 | − | 110.398i | 0.0693561 | − | 0.120128i | −0.829262 | − | 0.558860i | \(-0.811239\pi\) |
0.898618 | + | 0.438732i | \(0.144572\pi\) | |||||||
\(920\) | 61.0605 | + | 30.7390i | 0.0663701 | + | 0.0334119i | ||||
\(921\) | −1345.10 | − | 360.419i | −1.46048 | − | 0.391334i | ||||
\(922\) | 28.4442 | 0.0308505 | ||||||||
\(923\) | −456.535 | − | 1193.69i | −0.494621 | − | 1.29327i | ||||
\(924\) | −93.3596 | −0.101039 | ||||||||
\(925\) | 620.173 | − | 781.258i | 0.670458 | − | 0.844604i | ||||
\(926\) | −600.627 | − | 1040.32i | −0.648626 | − | 1.12345i | ||||
\(927\) | 3.06827 | − | 5.31439i | 0.00330989 | − | 0.00573289i | ||||
\(928\) | −128.638 | + | 128.638i | −0.138618 | + | 0.138618i | ||||
\(929\) | −580.457 | + | 155.533i | −0.624819 | + | 0.167420i | −0.557318 | − | 0.830299i | \(-0.688169\pi\) |
−0.0675014 | + | 0.997719i | \(0.521503\pi\) | |||||||
\(930\) | 129.630 | − | 145.384i | 0.139387 | − | 0.156327i | ||||
\(931\) | 844.116 | − | 844.116i | 0.906676 | − | 0.906676i | ||||
\(932\) | 153.643 | + | 88.7056i | 0.164852 | + | 0.0951776i | ||||
\(933\) | −647.347 | − | 1121.24i | −0.693834 | − | 1.20176i | ||||
\(934\) | −976.040 | − | 261.529i | −1.04501 | − | 0.280010i | ||||
\(935\) | −279.919 | − | 426.485i | −0.299379 | − | 0.456134i | ||||
\(936\) | −21.0211 | − | 54.9633i | −0.0224585 | − | 0.0587215i | ||||
\(937\) | 1254.23i | 1.33856i | 0.743008 | + | 0.669282i | \(0.233398\pi\) | ||||
−0.743008 | + | 0.669282i | \(0.766602\pi\) | |||||||
\(938\) | −128.836 | − | 34.5216i | −0.137352 | − | 0.0368034i | ||||
\(939\) | −186.877 | − | 323.680i | −0.199017 | − | 0.344707i | ||||
\(940\) | 465.362 | − | 26.6573i | 0.495066 | − | 0.0283589i | ||||
\(941\) | 23.8194 | + | 23.8194i | 0.0253128 | + | 0.0253128i | 0.719650 | − | 0.694337i | \(-0.244302\pi\) |
−0.694337 | + | 0.719650i | \(0.744302\pi\) | |||||||
\(942\) | −108.996 | − | 406.778i | −0.115707 | − | 0.431824i | ||||
\(943\) | −89.9430 | + | 24.1002i | −0.0953797 | + | 0.0255569i | ||||
\(944\) | −222.231 | + | 222.231i | −0.235414 | + | 0.235414i | ||||
\(945\) | −487.261 | + | 27.9118i | −0.515620 | + | 0.0295363i | ||||
\(946\) | −79.4914 | + | 45.8944i | −0.0840290 | + | 0.0485141i | ||||
\(947\) | −201.633 | + | 752.504i | −0.212917 | + | 0.794619i | 0.773972 | + | 0.633220i | \(0.218267\pi\) |
−0.986889 | + | 0.161399i | \(0.948399\pi\) | |||||||
\(948\) | 19.6092 | 0.0206848 | ||||||||
\(949\) | 833.786 | − | 1027.06i | 0.878594 | − | 1.08226i | ||||
\(950\) | 1188.37 | + | 515.315i | 1.25092 | + | 0.542437i | ||||
\(951\) | −429.957 | + | 1604.62i | −0.452110 | + | 1.68730i | ||||
\(952\) | 286.152 | − | 165.210i | 0.300580 | − | 0.173540i | ||||
\(953\) | −322.918 | + | 559.310i | −0.338843 | + | 0.586894i | −0.984215 | − | 0.176974i | \(-0.943369\pi\) |
0.645372 | + | 0.763868i | \(0.276702\pi\) | |||||||
\(954\) | −72.5244 | − | 72.5244i | −0.0760214 | − | 0.0760214i | ||||
\(955\) | 767.315 | + | 684.170i | 0.803472 | + | 0.716408i | ||||
\(956\) | −14.8761 | − | 55.5185i | −0.0155608 | − | 0.0580737i | ||||
\(957\) | −261.992 | − | 261.992i | −0.273764 | − | 0.273764i | ||||
\(958\) | 1003.68 | + | 579.474i | 1.04768 | + | 0.604879i | ||||
\(959\) | −365.865 | + | 211.232i | −0.381507 | + | 0.220263i | ||||
\(960\) | −123.662 | + | 40.8458i | −0.128814 | + | 0.0425477i | ||||
\(961\) | − | 889.417i | − | 0.925512i | ||||||
\(962\) | 669.758 | + | 299.180i | 0.696214 | + | 0.310998i | ||||
\(963\) | − | 14.5605i | − | 0.0151199i | ||||||
\(964\) | −119.547 | + | 446.157i | −0.124012 | + | 0.462818i | ||||
\(965\) | 436.224 | + | 219.603i | 0.452045 | + | 0.227568i | ||||
\(966\) | −78.0973 | − | 45.0895i | −0.0808461 | − | 0.0466765i | ||||
\(967\) | −605.443 | + | 605.443i | −0.626105 | + | 0.626105i | −0.947086 | − | 0.320981i | \(-0.895987\pi\) |
0.320981 | + | 0.947086i | \(0.395987\pi\) | |||||||
\(968\) | −79.4115 | − | 296.368i | −0.0820367 | − | 0.306165i | ||||
\(969\) | 890.138 | + | 3322.04i | 0.918615 | + | 3.42832i | ||||
\(970\) | −487.598 | − | 101.168i | −0.502679 | − | 0.104297i | ||||
\(971\) | 772.953 | − | 1338.79i | 0.796038 | − | 1.37878i | −0.126140 | − | 0.992012i | \(-0.540259\pi\) |
0.922178 | − | 0.386765i | \(-0.126408\pi\) | |||||||
\(972\) | 85.4521 | + | 148.007i | 0.0879137 | + | 0.152271i | ||||
\(973\) | 74.3132 | − | 277.341i | 0.0763753 | − | 0.285037i | ||||
\(974\) | − | 183.660i | − | 0.188563i | ||||||
\(975\) | 228.785 | + | 1033.11i | 0.234651 | + | 1.05960i | ||||
\(976\) | 295.367 | 0.302630 | ||||||||
\(977\) | 547.316 | + | 146.653i | 0.560200 | + | 0.150105i | 0.527798 | − | 0.849370i | \(-0.323018\pi\) |
0.0324020 | + | 0.999475i | \(0.489684\pi\) | |||||||
\(978\) | −1079.45 | + | 623.223i | −1.10374 | + | 0.637243i | ||||
\(979\) | −91.2291 | − | 52.6712i | −0.0931860 | − | 0.0538010i | ||||
\(980\) | 66.1960 | − | 319.045i | 0.0675469 | − | 0.325556i | ||||
\(981\) | 155.598 | − | 41.6923i | 0.158611 | − | 0.0424998i | ||||
\(982\) | −261.694 | + | 70.1208i | −0.266491 | + | 0.0714061i | ||||
\(983\) | −695.626 | − | 695.626i | −0.707656 | − | 0.707656i | 0.258386 | − | 0.966042i | \(-0.416809\pi\) |
−0.966042 | + | 0.258386i | \(0.916809\pi\) | |||||||
\(984\) | 88.6961 | − | 153.626i | 0.0901383 | − | 0.156124i | ||||
\(985\) | 249.345 | − | 495.304i | 0.253142 | − | 0.502847i | ||||
\(986\) | 1266.64 | + | 339.396i | 1.28463 | + | 0.344215i | ||||
\(987\) | −614.890 | −0.622989 | ||||||||
\(988\) | −150.164 | + | 940.636i | −0.151988 | + | 0.952060i | ||||
\(989\) | −88.6617 | −0.0896479 | ||||||||
\(990\) | −12.5595 | − | 38.0244i | −0.0126864 | − | 0.0384085i | ||||
\(991\) | 644.022 | + | 1115.48i | 0.649871 | + | 1.12561i | 0.983153 | + | 0.182782i | \(0.0585103\pi\) |
−0.333283 | + | 0.942827i | \(0.608156\pi\) | |||||||
\(992\) | 23.9304 | − | 41.4487i | 0.0241234 | − | 0.0417829i | ||||
\(993\) | 497.298 | − | 497.298i | 0.500804 | − | 0.500804i | ||||
\(994\) | 544.107 | − | 145.793i | 0.547391 | − | 0.146673i | ||||
\(995\) | 753.914 | − | 845.536i | 0.757703 | − | 0.849785i | ||||
\(996\) | −46.2843 | + | 46.2843i | −0.0464702 | + | 0.0464702i | ||||
\(997\) | 978.991 | + | 565.221i | 0.981937 | + | 0.566921i | 0.902854 | − | 0.429947i | \(-0.141468\pi\) |
0.0790823 | + | 0.996868i | \(0.474801\pi\) | |||||||
\(998\) | −550.541 | − | 953.566i | −0.551645 | − | 0.955476i | ||||
\(999\) | −928.496 | − | 248.790i | −0.929426 | − | 0.249039i |
(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 | 130.3.t.b.89.5 | yes | 28 | |
5.4 | even | 2 | 130.3.t.a.89.3 | yes | 28 | ||
13.6 | odd | 12 | 130.3.t.a.19.3 | ✓ | 28 | ||
65.19 | odd | 12 | inner | 130.3.t.b.19.5 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
130.3.t.a.19.3 | ✓ | 28 | 13.6 | odd | 12 | ||
130.3.t.a.89.3 | yes | 28 | 5.4 | even | 2 | ||
130.3.t.b.19.5 | yes | 28 | 65.19 | odd | 12 | inner | |
130.3.t.b.89.5 | yes | 28 | 1.1 | even | 1 | trivial |