Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [28,3,Mod(15,28)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(28, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("28.15");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 28 = 2^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 28.c (of order \(2\), degree \(1\), 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: | \(0.762944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.1539727.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 3x^{3} - 8x + 8 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 15.5 | ||
Root | \(-1.20134 - 0.746179i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.15 |
Dual form | 28.3.c.a.15.6 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.58777 | − | 1.21613i | 0.793886 | − | 0.608066i | ||||
\(3\) | 2.98472i | 0.994906i | 0.867491 | + | 0.497453i | \(0.165731\pi\) | ||||
−0.867491 | + | 0.497453i | \(0.834269\pi\) | |||||||
\(4\) | 1.04204 | − | 3.86188i | 0.260510 | − | 0.965471i | ||||
\(5\) | −6.80536 | −1.36107 | −0.680536 | − | 0.732715i | \(-0.738253\pi\) | ||||
−0.680536 | + | 0.732715i | \(0.738253\pi\) | |||||||
\(6\) | 3.62981 | + | 4.73905i | 0.604969 | + | 0.789842i | ||||
\(7\) | − | 2.64575i | − | 0.377964i | ||||||
\(8\) | −3.04204 | − | 7.39905i | −0.380255 | − | 0.924882i | ||||
\(9\) | 0.0914622 | 0.0101625 | ||||||||
\(10\) | −10.8054 | + | 8.27622i | −1.08054 | + | 0.827622i | ||||
\(11\) | 14.3426i | 1.30388i | 0.758272 | + | 0.651938i | \(0.226044\pi\) | ||||
−0.758272 | + | 0.651938i | \(0.773956\pi\) | |||||||
\(12\) | 11.5266 | + | 3.11020i | 0.960553 | + | 0.259183i | ||||
\(13\) | 4.62243 | 0.355572 | 0.177786 | − | 0.984069i | \(-0.443107\pi\) | ||||
0.177786 | + | 0.984069i | \(0.443107\pi\) | |||||||
\(14\) | −3.21759 | − | 4.20085i | −0.229828 | − | 0.300061i | ||||
\(15\) | − | 20.3121i | − | 1.35414i | ||||||
\(16\) | −13.8283 | − | 8.04848i | −0.864269 | − | 0.503030i | ||||
\(17\) | 11.6107 | 0.682983 | 0.341492 | − | 0.939885i | \(-0.389068\pi\) | ||||
0.341492 | + | 0.939885i | \(0.389068\pi\) | |||||||
\(18\) | 0.145221 | − | 0.111230i | 0.00806784 | − | 0.00617946i | ||||
\(19\) | − | 22.4428i | − | 1.18120i | −0.806964 | − | 0.590601i | \(-0.798891\pi\) | ||
0.806964 | − | 0.590601i | \(-0.201109\pi\) | |||||||
\(20\) | −7.09146 | + | 26.2815i | −0.354573 | + | 1.31408i | ||||
\(21\) | 7.89682 | 0.376039 | ||||||||
\(22\) | 17.4426 | + | 22.7728i | 0.792843 | + | 1.03513i | ||||
\(23\) | − | 0.853941i | − | 0.0371279i | −0.999828 | − | 0.0185639i | \(-0.994091\pi\) | ||
0.999828 | − | 0.0185639i | \(-0.00590943\pi\) | |||||||
\(24\) | 22.0841 | − | 9.07963i | 0.920170 | − | 0.378318i | ||||
\(25\) | 21.3129 | 0.852516 | ||||||||
\(26\) | 7.33937 | − | 5.62149i | 0.282283 | − | 0.216211i | ||||
\(27\) | 27.1354i | 1.00502i | ||||||||
\(28\) | −10.2176 | − | 2.75698i | −0.364914 | − | 0.0984636i | ||||
\(29\) | −42.8321 | −1.47697 | −0.738485 | − | 0.674270i | \(-0.764459\pi\) | ||||
−0.738485 | + | 0.674270i | \(0.764459\pi\) | |||||||
\(30\) | −24.7022 | − | 32.2509i | −0.823406 | − | 1.07503i | ||||
\(31\) | 1.54982i | 0.0499943i | 0.999688 | + | 0.0249972i | \(0.00795767\pi\) | ||||
−0.999688 | + | 0.0249972i | \(0.992042\pi\) | |||||||
\(32\) | −31.7442 | + | 4.03789i | −0.992007 | + | 0.126184i | ||||
\(33\) | −42.8087 | −1.29723 | ||||||||
\(34\) | 18.4352 | − | 14.1202i | 0.542211 | − | 0.415299i | ||||
\(35\) | 18.0053i | 0.514437i | ||||||||
\(36\) | 0.0953074 | − | 0.353217i | 0.00264743 | − | 0.00981157i | ||||
\(37\) | 45.0151 | 1.21662 | 0.608312 | − | 0.793698i | \(-0.291847\pi\) | ||||
0.608312 | + | 0.793698i | \(0.291847\pi\) | |||||||
\(38\) | −27.2935 | − | 35.6341i | −0.718250 | − | 0.937740i | ||||
\(39\) | 13.7967i | 0.353760i | ||||||||
\(40\) | 20.7022 | + | 50.3532i | 0.517554 | + | 1.25883i | ||||
\(41\) | −36.6492 | −0.893883 | −0.446942 | − | 0.894563i | \(-0.647487\pi\) | ||||
−0.446942 | + | 0.894563i | \(0.647487\pi\) | |||||||
\(42\) | 12.5384 | − | 9.60358i | 0.298532 | − | 0.228657i | ||||
\(43\) | 27.9894i | 0.650916i | 0.945557 | + | 0.325458i | \(0.105518\pi\) | ||||
−0.945557 | + | 0.325458i | \(0.894482\pi\) | |||||||
\(44\) | 55.3896 | + | 14.9456i | 1.25885 | + | 0.339673i | ||||
\(45\) | −0.622433 | −0.0138318 | ||||||||
\(46\) | −1.03851 | − | 1.35586i | −0.0225762 | − | 0.0294753i | ||||
\(47\) | − | 42.1740i | − | 0.897318i | −0.893703 | − | 0.448659i | \(-0.851902\pi\) | ||
0.893703 | − | 0.448659i | \(-0.148098\pi\) | |||||||
\(48\) | 24.0225 | − | 41.2736i | 0.500468 | − | 0.859866i | ||||
\(49\) | −7.00000 | −0.142857 | ||||||||
\(50\) | 33.8400 | − | 25.9193i | 0.676800 | − | 0.518386i | ||||
\(51\) | 34.6547i | 0.679504i | ||||||||
\(52\) | 4.81677 | − | 17.8513i | 0.0926301 | − | 0.343294i | ||||
\(53\) | 43.4044 | 0.818950 | 0.409475 | − | 0.912321i | \(-0.365712\pi\) | ||||
0.409475 | + | 0.912321i | \(0.365712\pi\) | |||||||
\(54\) | 33.0003 | + | 43.0849i | 0.611117 | + | 0.797869i | ||||
\(55\) | − | 97.6068i | − | 1.77467i | ||||||
\(56\) | −19.5761 | + | 8.04848i | −0.349572 | + | 0.143723i | ||||
\(57\) | 66.9856 | 1.17519 | ||||||||
\(58\) | −68.0077 | + | 52.0896i | −1.17255 | + | 0.898096i | ||||
\(59\) | 53.9979i | 0.915219i | 0.889153 | + | 0.457609i | \(0.151294\pi\) | ||||
−0.889153 | + | 0.457609i | \(0.848706\pi\) | |||||||
\(60\) | −78.4429 | − | 21.1660i | −1.30738 | − | 0.352767i | ||||
\(61\) | −15.9498 | −0.261472 | −0.130736 | − | 0.991417i | \(-0.541734\pi\) | ||||
−0.130736 | + | 0.991417i | \(0.541734\pi\) | |||||||
\(62\) | 1.88479 | + | 2.46077i | 0.0303999 | + | 0.0396898i | ||||
\(63\) | − | 0.241986i | − | 0.00384105i | ||||||
\(64\) | −45.4920 | + | 45.0164i | −0.710812 | + | 0.703382i | ||||
\(65\) | −31.4573 | −0.483959 | ||||||||
\(66\) | −67.9705 | + | 52.0611i | −1.02986 | + | 0.788804i | ||||
\(67\) | − | 91.9453i | − | 1.37232i | −0.727452 | − | 0.686159i | \(-0.759295\pi\) | ||
0.727452 | − | 0.686159i | \(-0.240705\pi\) | |||||||
\(68\) | 12.0988 | − | 44.8392i | 0.177924 | − | 0.659401i | ||||
\(69\) | 2.54877 | 0.0369387 | ||||||||
\(70\) | 21.8968 | + | 28.5883i | 0.312812 | + | 0.408404i | ||||
\(71\) | − | 16.3585i | − | 0.230401i | −0.993342 | − | 0.115201i | \(-0.963249\pi\) | ||
0.993342 | − | 0.115201i | \(-0.0367511\pi\) | |||||||
\(72\) | −0.278232 | − | 0.676734i | −0.00386433 | − | 0.00939908i | ||||
\(73\) | 9.58728 | 0.131333 | 0.0656663 | − | 0.997842i | \(-0.479083\pi\) | ||||
0.0656663 | + | 0.997842i | \(0.479083\pi\) | |||||||
\(74\) | 71.4737 | − | 54.7443i | 0.965861 | − | 0.739788i | ||||
\(75\) | 63.6130i | 0.848173i | ||||||||
\(76\) | −86.6717 | − | 23.3864i | −1.14042 | − | 0.307715i | ||||
\(77\) | 37.9470 | 0.492819 | ||||||||
\(78\) | 16.7786 | + | 21.9059i | 0.215110 | + | 0.280845i | ||||
\(79\) | 56.9826i | 0.721299i | 0.932701 | + | 0.360649i | \(0.117445\pi\) | ||||
−0.932701 | + | 0.360649i | \(0.882555\pi\) | |||||||
\(80\) | 94.1065 | + | 54.7728i | 1.17633 | + | 0.684660i | ||||
\(81\) | −80.1685 | −0.989734 | ||||||||
\(82\) | −58.1906 | + | 44.5703i | −0.709642 | + | 0.543541i | ||||
\(83\) | − | 14.3077i | − | 0.172381i | −0.996279 | − | 0.0861907i | \(-0.972531\pi\) | ||
0.996279 | − | 0.0861907i | \(-0.0274694\pi\) | |||||||
\(84\) | 8.22881 | − | 30.4966i | 0.0979620 | − | 0.363055i | ||||
\(85\) | −79.0151 | −0.929589 | ||||||||
\(86\) | 34.0388 | + | 44.4408i | 0.395800 | + | 0.516753i | ||||
\(87\) | − | 127.842i | − | 1.46945i | ||||||
\(88\) | 106.122 | − | 43.6309i | 1.20593 | − | 0.495805i | ||||
\(89\) | 100.136 | 1.12512 | 0.562562 | − | 0.826755i | \(-0.309816\pi\) | ||||
0.562562 | + | 0.826755i | \(0.309816\pi\) | |||||||
\(90\) | −0.988282 | + | 0.756962i | −0.0109809 | + | 0.00841068i | ||||
\(91\) | − | 12.2298i | − | 0.134394i | ||||||
\(92\) | −3.29782 | − | 0.889842i | −0.0358459 | − | 0.00967219i | ||||
\(93\) | −4.62579 | −0.0497396 | ||||||||
\(94\) | −51.2891 | − | 66.9626i | −0.545629 | − | 0.712369i | ||||
\(95\) | 152.732i | 1.60770i | ||||||||
\(96\) | −12.0520 | − | 94.7475i | −0.125541 | − | 0.986953i | ||||
\(97\) | 68.2834 | 0.703952 | 0.351976 | − | 0.936009i | \(-0.385510\pi\) | ||||
0.351976 | + | 0.936009i | \(0.385510\pi\) | |||||||
\(98\) | −11.1144 | + | 8.51293i | −0.113412 | + | 0.0868666i | ||||
\(99\) | 1.31181i | 0.0132506i | ||||||||
\(100\) | 22.2089 | − | 82.3079i | 0.222089 | − | 0.823079i | ||||
\(101\) | −28.1628 | −0.278840 | −0.139420 | − | 0.990233i | \(-0.544524\pi\) | ||||
−0.139420 | + | 0.990233i | \(0.544524\pi\) | |||||||
\(102\) | 42.1447 | + | 55.0238i | 0.413184 | + | 0.539449i | ||||
\(103\) | 160.243i | 1.55575i | 0.628416 | + | 0.777877i | \(0.283703\pi\) | ||||
−0.628416 | + | 0.777877i | \(0.716297\pi\) | |||||||
\(104\) | −14.0616 | − | 34.2016i | −0.135208 | − | 0.328862i | ||||
\(105\) | −53.7407 | −0.511816 | ||||||||
\(106\) | 68.9162 | − | 52.7855i | 0.650153 | − | 0.497976i | ||||
\(107\) | − | 118.923i | − | 1.11143i | −0.831374 | − | 0.555713i | \(-0.812445\pi\) | ||
0.831374 | − | 0.555713i | \(-0.187555\pi\) | |||||||
\(108\) | 104.794 | + | 28.2762i | 0.970314 | + | 0.261817i | ||||
\(109\) | −98.2666 | −0.901529 | −0.450764 | − | 0.892643i | \(-0.648849\pi\) | ||||
−0.450764 | + | 0.892643i | \(0.648849\pi\) | |||||||
\(110\) | −118.703 | − | 154.977i | −1.07912 | − | 1.40888i | ||||
\(111\) | 134.357i | 1.21043i | ||||||||
\(112\) | −21.2943 | + | 36.5862i | −0.190128 | + | 0.326663i | ||||
\(113\) | 96.9977 | 0.858387 | 0.429193 | − | 0.903213i | \(-0.358798\pi\) | ||||
0.429193 | + | 0.903213i | \(0.358798\pi\) | |||||||
\(114\) | 106.358 | − | 81.4633i | 0.932963 | − | 0.714591i | ||||
\(115\) | 5.81138i | 0.0505337i | ||||||||
\(116\) | −44.6329 | + | 165.413i | −0.384766 | + | 1.42597i | ||||
\(117\) | 0.422778 | 0.00361349 | ||||||||
\(118\) | 65.6686 | + | 85.7364i | 0.556514 | + | 0.726579i | ||||
\(119\) | − | 30.7191i | − | 0.258143i | ||||||
\(120\) | −150.290 | + | 61.7901i | −1.25242 | + | 0.514918i | ||||
\(121\) | −84.7112 | −0.700092 | ||||||||
\(122\) | −25.3246 | + | 19.3970i | −0.207579 | + | 0.158992i | ||||
\(123\) | − | 109.388i | − | 0.889330i | ||||||
\(124\) | 5.98524 | + | 1.61498i | 0.0482681 | + | 0.0130240i | ||||
\(125\) | 25.0921 | 0.200737 | ||||||||
\(126\) | −0.294288 | − | 0.384219i | −0.00233562 | − | 0.00304936i | ||||
\(127\) | 71.8712i | 0.565915i | 0.959132 | + | 0.282958i | \(0.0913156\pi\) | ||||
−0.959132 | + | 0.282958i | \(0.908684\pi\) | |||||||
\(128\) | −17.4849 | + | 126.800i | −0.136601 | + | 0.990626i | ||||
\(129\) | −83.5404 | −0.647600 | ||||||||
\(130\) | −49.9470 | + | 38.2563i | −0.384208 | + | 0.294279i | ||||
\(131\) | − | 209.837i | − | 1.60181i | −0.598791 | − | 0.800906i | \(-0.704352\pi\) | ||
0.598791 | − | 0.800906i | \(-0.295648\pi\) | |||||||
\(132\) | −44.6084 | + | 165.322i | −0.337943 | + | 1.25244i | ||||
\(133\) | −59.3782 | −0.446453 | ||||||||
\(134\) | −111.818 | − | 145.988i | −0.834460 | − | 1.08946i | ||||
\(135\) | − | 184.666i | − | 1.36790i | ||||||
\(136\) | −35.3203 | − | 85.9083i | −0.259708 | − | 0.631679i | ||||
\(137\) | −18.1650 | −0.132591 | −0.0662954 | − | 0.997800i | \(-0.521118\pi\) | ||||
−0.0662954 | + | 0.997800i | \(0.521118\pi\) | |||||||
\(138\) | 4.04687 | − | 3.09965i | 0.0293252 | − | 0.0224612i | ||||
\(139\) | 134.084i | 0.964635i | 0.875996 | + | 0.482318i | \(0.160205\pi\) | ||||
−0.875996 | + | 0.482318i | \(0.839795\pi\) | |||||||
\(140\) | 69.5343 | + | 18.7622i | 0.496674 | + | 0.134016i | ||||
\(141\) | 125.877 | 0.892747 | ||||||||
\(142\) | −19.8941 | − | 25.9735i | −0.140099 | − | 0.182912i | ||||
\(143\) | 66.2979i | 0.463621i | ||||||||
\(144\) | −1.26477 | − | 0.736132i | −0.00878311 | − | 0.00511203i | ||||
\(145\) | 291.488 | 2.01026 | ||||||||
\(146\) | 15.2224 | − | 11.6594i | 0.104263 | − | 0.0798590i | ||||
\(147\) | − | 20.8930i | − | 0.142129i | ||||||
\(148\) | 46.9076 | − | 173.843i | 0.316943 | − | 1.17461i | ||||
\(149\) | −20.7618 | −0.139341 | −0.0696706 | − | 0.997570i | \(-0.522195\pi\) | ||||
−0.0696706 | + | 0.997570i | \(0.522195\pi\) | |||||||
\(150\) | 77.3618 | + | 101.003i | 0.515745 | + | 0.673353i | ||||
\(151\) | − | 93.1090i | − | 0.616616i | −0.951287 | − | 0.308308i | \(-0.900237\pi\) | ||
0.951287 | − | 0.308308i | \(-0.0997628\pi\) | |||||||
\(152\) | −166.056 | + | 68.2721i | −1.09247 | + | 0.449158i | ||||
\(153\) | 1.06194 | 0.00694080 | ||||||||
\(154\) | 60.2513 | − | 46.1487i | 0.391242 | − | 0.299667i | ||||
\(155\) | − | 10.5471i | − | 0.0680458i | ||||||
\(156\) | 53.2811 | + | 14.3767i | 0.341545 | + | 0.0921582i | ||||
\(157\) | 159.337 | 1.01489 | 0.507444 | − | 0.861685i | \(-0.330590\pi\) | ||||
0.507444 | + | 0.861685i | \(0.330590\pi\) | |||||||
\(158\) | 69.2984 | + | 90.4754i | 0.438598 | + | 0.572629i | ||||
\(159\) | 129.550i | 0.814778i | ||||||||
\(160\) | 216.031 | − | 27.4793i | 1.35019 | − | 0.171746i | ||||
\(161\) | −2.25932 | −0.0140330 | ||||||||
\(162\) | −127.289 | + | 97.4955i | −0.785736 | + | 0.601824i | ||||
\(163\) | − | 45.8277i | − | 0.281152i | −0.990070 | − | 0.140576i | \(-0.955105\pi\) | ||
0.990070 | − | 0.140576i | \(-0.0448954\pi\) | |||||||
\(164\) | −38.1900 | + | 141.535i | −0.232866 | + | 0.863019i | ||||
\(165\) | 291.329 | 1.76563 | ||||||||
\(166\) | −17.4000 | − | 22.7173i | −0.104819 | − | 0.136851i | ||||
\(167\) | 15.5845i | 0.0933203i | 0.998911 | + | 0.0466602i | \(0.0148578\pi\) | ||||
−0.998911 | + | 0.0466602i | \(0.985142\pi\) | |||||||
\(168\) | −24.0225 | − | 58.4290i | −0.142991 | − | 0.347792i | ||||
\(169\) | −147.633 | −0.873569 | ||||||||
\(170\) | −125.458 | + | 96.0928i | −0.737988 | + | 0.565252i | ||||
\(171\) | − | 2.05267i | − | 0.0120039i | ||||||
\(172\) | 108.092 | + | 29.1661i | 0.628441 | + | 0.169570i | ||||
\(173\) | −266.021 | −1.53770 | −0.768848 | − | 0.639432i | \(-0.779170\pi\) | ||||
−0.768848 | + | 0.639432i | \(0.779170\pi\) | |||||||
\(174\) | −155.473 | − | 202.984i | −0.893521 | − | 1.16657i | ||||
\(175\) | − | 56.3886i | − | 0.322221i | ||||||
\(176\) | 115.436 | − | 198.334i | 0.655889 | − | 1.12690i | ||||
\(177\) | −161.168 | −0.910556 | ||||||||
\(178\) | 158.993 | − | 121.779i | 0.893220 | − | 0.684150i | ||||
\(179\) | − | 44.5059i | − | 0.248636i | −0.992242 | − | 0.124318i | \(-0.960326\pi\) | ||
0.992242 | − | 0.124318i | \(-0.0396744\pi\) | |||||||
\(180\) | −0.648601 | + | 2.40376i | −0.00360334 | + | 0.0133542i | ||||
\(181\) | −168.111 | −0.928787 | −0.464394 | − | 0.885629i | \(-0.653728\pi\) | ||||
−0.464394 | + | 0.885629i | \(0.653728\pi\) | |||||||
\(182\) | −14.8731 | − | 19.4182i | −0.0817202 | − | 0.106693i | ||||
\(183\) | − | 47.6056i | − | 0.260140i | ||||||
\(184\) | −6.31836 | + | 2.59772i | −0.0343389 | + | 0.0141181i | ||||
\(185\) | −306.344 | −1.65591 | ||||||||
\(186\) | −7.34469 | + | 5.62557i | −0.0394876 | + | 0.0302450i | ||||
\(187\) | 166.528i | 0.890525i | ||||||||
\(188\) | −162.871 | − | 43.9470i | −0.866335 | − | 0.233761i | ||||
\(189\) | 71.7936 | 0.379861 | ||||||||
\(190\) | 185.742 | + | 242.503i | 0.977589 | + | 1.27633i | ||||
\(191\) | 353.607i | 1.85134i | 0.378328 | + | 0.925672i | \(0.376499\pi\) | ||||
−0.378328 | + | 0.925672i | \(0.623501\pi\) | |||||||
\(192\) | −134.361 | − | 135.781i | −0.699799 | − | 0.707191i | ||||
\(193\) | −348.574 | −1.80608 | −0.903042 | − | 0.429553i | \(-0.858671\pi\) | ||||
−0.903042 | + | 0.429553i | \(0.858671\pi\) | |||||||
\(194\) | 108.418 | − | 83.0417i | 0.558858 | − | 0.428050i | ||||
\(195\) | − | 93.8912i | − | 0.481493i | ||||||
\(196\) | −7.29429 | + | 27.0332i | −0.0372158 | + | 0.137924i | ||||
\(197\) | −26.9314 | −0.136707 | −0.0683537 | − | 0.997661i | \(-0.521775\pi\) | ||||
−0.0683537 | + | 0.997661i | \(0.521775\pi\) | |||||||
\(198\) | 1.59533 | + | 2.08285i | 0.00805725 | + | 0.0105195i | ||||
\(199\) | 231.560i | 1.16362i | 0.813326 | + | 0.581809i | \(0.197655\pi\) | ||||
−0.813326 | + | 0.581809i | \(0.802345\pi\) | |||||||
\(200\) | −64.8347 | − | 157.695i | −0.324173 | − | 0.788476i | ||||
\(201\) | 274.431 | 1.36533 | ||||||||
\(202\) | −44.7162 | + | 34.2498i | −0.221367 | + | 0.169553i | ||||
\(203\) | 113.323i | 0.558242i | ||||||||
\(204\) | 133.832 | + | 36.1116i | 0.656041 | + | 0.177018i | ||||
\(205\) | 249.411 | 1.21664 | ||||||||
\(206\) | 194.876 | + | 254.429i | 0.946002 | + | 1.23509i | ||||
\(207\) | − | 0.0781034i | − | 0.000377311i | ||||||
\(208\) | −63.9204 | − | 37.2036i | −0.307310 | − | 0.178863i | ||||
\(209\) | 321.890 | 1.54014 | ||||||||
\(210\) | −85.3280 | + | 65.3558i | −0.406324 | + | 0.311218i | ||||
\(211\) | − | 79.6903i | − | 0.377679i | −0.982008 | − | 0.188840i | \(-0.939527\pi\) | ||
0.982008 | − | 0.188840i | \(-0.0604726\pi\) | |||||||
\(212\) | 45.2291 | − | 167.623i | 0.213345 | − | 0.790673i | ||||
\(213\) | 48.8254 | 0.229227 | ||||||||
\(214\) | −144.626 | − | 188.822i | −0.675821 | − | 0.882346i | ||||
\(215\) | − | 190.478i | − | 0.885943i | ||||||
\(216\) | 200.777 | − | 82.5471i | 0.929521 | − | 0.382163i | ||||
\(217\) | 4.10045 | 0.0188961 | ||||||||
\(218\) | −156.025 | + | 119.505i | −0.715711 | + | 0.548189i | ||||
\(219\) | 28.6153i | 0.130664i | ||||||||
\(220\) | −376.946 | − | 101.710i | −1.71339 | − | 0.462319i | ||||
\(221\) | 53.6698 | 0.242850 | ||||||||
\(222\) | 163.396 | + | 213.329i | 0.736019 | + | 0.960940i | ||||
\(223\) | − | 264.367i | − | 1.18550i | −0.805386 | − | 0.592750i | \(-0.798042\pi\) | ||
0.805386 | − | 0.592750i | \(-0.201958\pi\) | |||||||
\(224\) | 10.6833 | + | 83.9873i | 0.0476931 | + | 0.374943i | ||||
\(225\) | 1.94932 | 0.00866367 | ||||||||
\(226\) | 154.010 | − | 117.962i | 0.681461 | − | 0.521956i | ||||
\(227\) | − | 431.324i | − | 1.90011i | −0.312088 | − | 0.950053i | \(-0.601028\pi\) | ||
0.312088 | − | 0.950053i | \(-0.398972\pi\) | |||||||
\(228\) | 69.8017 | − | 258.690i | 0.306148 | − | 1.13461i | ||||
\(229\) | −424.901 | −1.85546 | −0.927732 | − | 0.373247i | \(-0.878244\pi\) | ||||
−0.927732 | + | 0.373247i | \(0.878244\pi\) | |||||||
\(230\) | 7.06741 | + | 9.22714i | 0.0307279 | + | 0.0401180i | ||||
\(231\) | 113.261i | 0.490308i | ||||||||
\(232\) | 130.297 | + | 316.917i | 0.561626 | + | 1.36602i | ||||
\(233\) | 218.828 | 0.939176 | 0.469588 | − | 0.882886i | \(-0.344403\pi\) | ||||
0.469588 | + | 0.882886i | \(0.344403\pi\) | |||||||
\(234\) | 0.671275 | − | 0.514154i | 0.00286870 | − | 0.00219724i | ||||
\(235\) | 287.009i | 1.22131i | ||||||||
\(236\) | 208.534 | + | 56.2680i | 0.883617 | + | 0.238424i | ||||
\(237\) | −170.077 | −0.717625 | ||||||||
\(238\) | −37.3585 | − | 48.7749i | −0.156968 | − | 0.204936i | ||||
\(239\) | 90.1656i | 0.377262i | 0.982048 | + | 0.188631i | \(0.0604050\pi\) | ||||
−0.982048 | + | 0.188631i | \(0.939595\pi\) | |||||||
\(240\) | −163.481 | + | 280.881i | −0.681172 | + | 1.17034i | ||||
\(241\) | 375.944 | 1.55994 | 0.779968 | − | 0.625820i | \(-0.215236\pi\) | ||||
0.779968 | + | 0.625820i | \(0.215236\pi\) | |||||||
\(242\) | −134.502 | + | 103.020i | −0.555794 | + | 0.425703i | ||||
\(243\) | 4.93877i | 0.0203242i | ||||||||
\(244\) | −16.6203 | + | 61.5962i | −0.0681161 | + | 0.252443i | ||||
\(245\) | 47.6375 | 0.194439 | ||||||||
\(246\) | −133.030 | − | 173.683i | −0.540772 | − | 0.706027i | ||||
\(247\) | − | 103.741i | − | 0.420002i | ||||||
\(248\) | 11.4672 | − | 4.71463i | 0.0462388 | − | 0.0190106i | ||||
\(249\) | 42.7043 | 0.171503 | ||||||||
\(250\) | 39.8405 | − | 30.5153i | 0.159362 | − | 0.122061i | ||||
\(251\) | − | 319.525i | − | 1.27301i | −0.771274 | − | 0.636503i | \(-0.780380\pi\) | ||
0.771274 | − | 0.636503i | \(-0.219620\pi\) | |||||||
\(252\) | −0.934523 | − | 0.252160i | −0.00370843 | − | 0.00100063i | ||||
\(253\) | 12.2478 | 0.0484101 | ||||||||
\(254\) | 87.4050 | + | 114.115i | 0.344114 | + | 0.449272i | ||||
\(255\) | − | 235.838i | − | 0.924854i | ||||||
\(256\) | 126.444 | + | 222.594i | 0.493921 | + | 0.869507i | ||||
\(257\) | −167.466 | −0.651618 | −0.325809 | − | 0.945436i | \(-0.605637\pi\) | ||||
−0.325809 | + | 0.945436i | \(0.605637\pi\) | |||||||
\(258\) | −132.643 | + | 101.596i | −0.514121 | + | 0.393784i | ||||
\(259\) | − | 119.099i | − | 0.459840i | ||||||
\(260\) | −32.7798 | + | 121.484i | −0.126076 | + | 0.467248i | ||||
\(261\) | −3.91752 | −0.0150097 | ||||||||
\(262\) | −255.190 | − | 333.174i | −0.974008 | − | 1.27166i | ||||
\(263\) | 86.1276i | 0.327481i | 0.986503 | + | 0.163741i | \(0.0523560\pi\) | ||||
−0.986503 | + | 0.163741i | \(0.947644\pi\) | |||||||
\(264\) | 130.226 | + | 316.744i | 0.493280 | + | 1.19979i | ||||
\(265\) | −295.382 | −1.11465 | ||||||||
\(266\) | −94.2790 | + | 72.2118i | −0.354432 | + | 0.271473i | ||||
\(267\) | 298.878i | 1.11939i | ||||||||
\(268\) | −355.082 | − | 95.8108i | −1.32493 | − | 0.357503i | ||||
\(269\) | 269.343 | 1.00128 | 0.500638 | − | 0.865657i | \(-0.333099\pi\) | ||||
0.500638 | + | 0.865657i | \(0.333099\pi\) | |||||||
\(270\) | −224.579 | − | 293.208i | −0.831774 | − | 1.08596i | ||||
\(271\) | − | 318.318i | − | 1.17460i | −0.809368 | − | 0.587302i | \(-0.800190\pi\) | ||
0.809368 | − | 0.587302i | \(-0.199810\pi\) | |||||||
\(272\) | −160.556 | − | 93.4487i | −0.590281 | − | 0.343561i | ||||
\(273\) | 36.5025 | 0.133709 | ||||||||
\(274\) | −28.8418 | + | 22.0910i | −0.105262 | + | 0.0806241i | ||||
\(275\) | 305.683i | 1.11157i | ||||||||
\(276\) | 2.65593 | − | 9.84307i | 0.00962292 | − | 0.0356633i | ||||
\(277\) | 356.597 | 1.28735 | 0.643677 | − | 0.765298i | \(-0.277408\pi\) | ||||
0.643677 | + | 0.765298i | \(0.277408\pi\) | |||||||
\(278\) | 163.064 | + | 212.895i | 0.586562 | + | 0.765810i | ||||
\(279\) | 0.141750i | 0.000508066i | ||||||||
\(280\) | 133.222 | − | 54.7728i | 0.475793 | − | 0.195617i | ||||
\(281\) | 109.846 | 0.390911 | 0.195455 | − | 0.980713i | \(-0.437381\pi\) | ||||
0.195455 | + | 0.980713i | \(0.437381\pi\) | |||||||
\(282\) | 199.865 | − | 153.084i | 0.708740 | − | 0.542850i | ||||
\(283\) | 514.582i | 1.81831i | 0.416457 | + | 0.909155i | \(0.363272\pi\) | ||||
−0.416457 | + | 0.909155i | \(0.636728\pi\) | |||||||
\(284\) | −63.1746 | − | 17.0462i | −0.222446 | − | 0.0600219i | ||||
\(285\) | −455.861 | −1.59951 | ||||||||
\(286\) | 80.6270 | + | 105.266i | 0.281913 | + | 0.368063i | ||||
\(287\) | 96.9647i | 0.337856i | ||||||||
\(288\) | −2.90340 | + | 0.369315i | −0.0100812 | + | 0.00128234i | ||||
\(289\) | −154.191 | −0.533534 | ||||||||
\(290\) | 462.817 | − | 354.488i | 1.59592 | − | 1.22237i | ||||
\(291\) | 203.807i | 0.700366i | ||||||||
\(292\) | 9.99034 | − | 37.0250i | 0.0342135 | − | 0.126798i | ||||
\(293\) | −133.002 | −0.453931 | −0.226965 | − | 0.973903i | \(-0.572880\pi\) | ||||
−0.226965 | + | 0.973903i | \(0.572880\pi\) | |||||||
\(294\) | −25.4087 | − | 33.1734i | −0.0864241 | − | 0.112835i | ||||
\(295\) | − | 367.475i | − | 1.24568i | ||||||
\(296\) | −136.938 | − | 333.069i | −0.462627 | − | 1.12523i | ||||
\(297\) | −389.194 | −1.31042 | ||||||||
\(298\) | −32.9651 | + | 25.2492i | −0.110621 | + | 0.0847287i | ||||
\(299\) | − | 3.94729i | − | 0.0132016i | ||||||
\(300\) | 245.666 | + | 66.2873i | 0.818886 | + | 0.220958i | ||||
\(301\) | 74.0530 | 0.246023 | ||||||||
\(302\) | −113.233 | − | 147.836i | −0.374944 | − | 0.489523i | ||||
\(303\) | − | 84.0581i | − | 0.277420i | ||||||
\(304\) | −180.631 | + | 310.346i | −0.594181 | + | 1.02088i | ||||
\(305\) | 108.544 | 0.355882 | ||||||||
\(306\) | 1.68612 | − | 1.29146i | 0.00551020 | − | 0.00422047i | ||||
\(307\) | 382.811i | 1.24694i | 0.781847 | + | 0.623471i | \(0.214278\pi\) | ||||
−0.781847 | + | 0.623471i | \(0.785722\pi\) | |||||||
\(308\) | 39.5424 | − | 146.547i | 0.128384 | − | 0.475802i | ||||
\(309\) | −478.279 | −1.54783 | ||||||||
\(310\) | −12.8267 | − | 16.7464i | −0.0413764 | − | 0.0540206i | ||||
\(311\) | 196.374i | 0.631426i | 0.948855 | + | 0.315713i | \(0.102244\pi\) | ||||
−0.948855 | + | 0.315713i | \(0.897756\pi\) | |||||||
\(312\) | 102.082 | − | 41.9700i | 0.327187 | − | 0.134519i | ||||
\(313\) | 427.045 | 1.36436 | 0.682181 | − | 0.731183i | \(-0.261032\pi\) | ||||
0.682181 | + | 0.731183i | \(0.261032\pi\) | |||||||
\(314\) | 252.991 | − | 193.775i | 0.805705 | − | 0.617119i | ||||
\(315\) | 1.64680i | 0.00522795i | ||||||||
\(316\) | 220.060 | + | 59.3782i | 0.696393 | + | 0.187906i | ||||
\(317\) | 111.049 | 0.350314 | 0.175157 | − | 0.984541i | \(-0.443957\pi\) | ||||
0.175157 | + | 0.984541i | \(0.443957\pi\) | |||||||
\(318\) | 157.550 | + | 205.695i | 0.495439 | + | 0.646841i | ||||
\(319\) | − | 614.326i | − | 1.92579i | ||||||
\(320\) | 309.589 | − | 306.353i | 0.967466 | − | 0.957353i | ||||
\(321\) | 354.951 | 1.10577 | ||||||||
\(322\) | −3.58728 | + | 2.74763i | −0.0111406 | + | 0.00853301i | ||||
\(323\) | − | 260.577i | − | 0.806741i | ||||||
\(324\) | −83.5388 | + | 309.601i | −0.257836 | + | 0.955560i | ||||
\(325\) | 98.5174 | 0.303131 | ||||||||
\(326\) | −55.7326 | − | 72.7640i | −0.170959 | − | 0.223202i | ||||
\(327\) | − | 293.298i | − | 0.896936i | ||||||
\(328\) | 111.488 | + | 271.170i | 0.339904 | + | 0.826736i | ||||
\(329\) | −111.582 | −0.339154 | ||||||||
\(330\) | 462.563 | − | 354.294i | 1.40171 | − | 1.07362i | ||||
\(331\) | 119.629i | 0.361416i | 0.983537 | + | 0.180708i | \(0.0578388\pi\) | ||||
−0.983537 | + | 0.180708i | \(0.942161\pi\) | |||||||
\(332\) | −55.2545 | − | 14.9092i | −0.166429 | − | 0.0449071i | ||||
\(333\) | 4.11718 | 0.0123639 | ||||||||
\(334\) | 18.9528 | + | 24.7446i | 0.0567450 | + | 0.0740857i | ||||
\(335\) | 625.721i | 1.86782i | ||||||||
\(336\) | −109.200 | − | 63.5574i | −0.324999 | − | 0.189159i | ||||
\(337\) | −57.3636 | −0.170218 | −0.0851092 | − | 0.996372i | \(-0.527124\pi\) | ||||
−0.0851092 | + | 0.996372i | \(0.527124\pi\) | |||||||
\(338\) | −234.408 | + | 179.541i | −0.693514 | + | 0.531188i | ||||
\(339\) | 289.511i | 0.854014i | ||||||||
\(340\) | −82.3369 | + | 305.147i | −0.242167 | + | 0.897491i | ||||
\(341\) | −22.2286 | −0.0651864 | ||||||||
\(342\) | −2.49632 | − | 3.25918i | −0.00729919 | − | 0.00952976i | ||||
\(343\) | 18.5203i | 0.0539949i | ||||||||
\(344\) | 207.095 | − | 85.1449i | 0.602020 | − | 0.247514i | ||||
\(345\) | −17.3453 | −0.0502763 | ||||||||
\(346\) | −422.381 | + | 323.517i | −1.22076 | + | 0.935021i | ||||
\(347\) | 268.774i | 0.774566i | 0.921961 | + | 0.387283i | \(0.126586\pi\) | ||||
−0.921961 | + | 0.387283i | \(0.873414\pi\) | |||||||
\(348\) | −493.710 | − | 133.216i | −1.41871 | − | 0.382806i | ||||
\(349\) | 97.0498 | 0.278080 | 0.139040 | − | 0.990287i | \(-0.455598\pi\) | ||||
0.139040 | + | 0.990287i | \(0.455598\pi\) | |||||||
\(350\) | −68.5761 | − | 89.5323i | −0.195932 | − | 0.255806i | ||||
\(351\) | 125.432i | 0.357356i | ||||||||
\(352\) | −57.9140 | − | 455.296i | −0.164528 | − | 1.29345i | ||||
\(353\) | −316.928 | −0.897813 | −0.448907 | − | 0.893579i | \(-0.648186\pi\) | ||||
−0.448907 | + | 0.893579i | \(0.648186\pi\) | |||||||
\(354\) | −255.899 | + | 196.002i | −0.722878 | + | 0.553679i | ||||
\(355\) | 111.325i | 0.313592i | ||||||||
\(356\) | 104.346 | − | 386.714i | 0.293106 | − | 1.08627i | ||||
\(357\) | 91.6877 | 0.256828 | ||||||||
\(358\) | −54.1251 | − | 70.6653i | −0.151187 | − | 0.197389i | ||||
\(359\) | − | 590.194i | − | 1.64399i | −0.569492 | − | 0.821997i | \(-0.692860\pi\) | ||
0.569492 | − | 0.821997i | \(-0.307140\pi\) | |||||||
\(360\) | 1.89347 | + | 4.60542i | 0.00525963 | + | 0.0127928i | ||||
\(361\) | −142.681 | −0.395239 | ||||||||
\(362\) | −266.921 | + | 204.445i | −0.737351 | + | 0.564764i | ||||
\(363\) | − | 252.839i | − | 0.696526i | ||||||
\(364\) | −47.2301 | − | 12.7440i | −0.129753 | − | 0.0350109i | ||||
\(365\) | −65.2449 | −0.178753 | ||||||||
\(366\) | −57.8947 | − | 75.5868i | −0.158182 | − | 0.206521i | ||||
\(367\) | − | 175.544i | − | 0.478321i | −0.970980 | − | 0.239160i | \(-0.923128\pi\) | ||
0.970980 | − | 0.239160i | \(-0.0768722\pi\) | |||||||
\(368\) | −6.87293 | + | 11.8086i | −0.0186764 | + | 0.0320885i | ||||
\(369\) | −3.35202 | −0.00908406 | ||||||||
\(370\) | −486.404 | + | 372.555i | −1.31461 | + | 1.00690i | ||||
\(371\) | − | 114.837i | − | 0.309534i | ||||||
\(372\) | −4.82026 | + | 17.8642i | −0.0129577 | + | 0.0480222i | ||||
\(373\) | 554.016 | 1.48530 | 0.742649 | − | 0.669681i | \(-0.233569\pi\) | ||||
0.742649 | + | 0.669681i | \(0.233569\pi\) | |||||||
\(374\) | 202.520 | + | 264.409i | 0.541499 | + | 0.706976i | ||||
\(375\) | 74.8928i | 0.199714i | ||||||||
\(376\) | −312.047 | + | 128.295i | −0.829913 | + | 0.341210i | ||||
\(377\) | −197.989 | −0.525169 | ||||||||
\(378\) | 113.992 | − | 87.3106i | 0.301566 | − | 0.230980i | ||||
\(379\) | − | 749.909i | − | 1.97865i | −0.145723 | − | 0.989325i | \(-0.546551\pi\) | ||
0.145723 | − | 0.989325i | \(-0.453449\pi\) | |||||||
\(380\) | 589.832 | + | 159.153i | 1.55219 | + | 0.418823i | ||||
\(381\) | −214.515 | −0.563032 | ||||||||
\(382\) | 430.033 | + | 561.447i | 1.12574 | + | 1.46976i | ||||
\(383\) | 246.230i | 0.642899i | 0.946927 | + | 0.321450i | \(0.104170\pi\) | ||||
−0.946927 | + | 0.321450i | \(0.895830\pi\) | |||||||
\(384\) | −378.463 | − | 52.1875i | −0.985580 | − | 0.135905i | ||||
\(385\) | −258.243 | −0.670762 | ||||||||
\(386\) | −553.456 | + | 423.912i | −1.43382 | + | 1.09822i | ||||
\(387\) | 2.55997i | 0.00661491i | ||||||||
\(388\) | 71.1541 | − | 263.702i | 0.183387 | − | 0.679646i | ||||
\(389\) | 298.019 | 0.766115 | 0.383058 | − | 0.923724i | \(-0.374871\pi\) | ||||
0.383058 | + | 0.923724i | \(0.374871\pi\) | |||||||
\(390\) | −114.184 | − | 149.078i | −0.292780 | − | 0.382251i | ||||
\(391\) | − | 9.91487i | − | 0.0253577i | ||||||
\(392\) | 21.2943 | + | 51.7934i | 0.0543222 | + | 0.132126i | ||||
\(393\) | 626.305 | 1.59365 | ||||||||
\(394\) | −42.7609 | + | 32.7521i | −0.108530 | + | 0.0831272i | ||||
\(395\) | − | 387.787i | − | 0.981739i | ||||||
\(396\) | 5.06606 | + | 1.36696i | 0.0127931 | + | 0.00345192i | ||||
\(397\) | 127.823 | 0.321971 | 0.160986 | − | 0.986957i | \(-0.448533\pi\) | ||||
0.160986 | + | 0.986957i | \(0.448533\pi\) | |||||||
\(398\) | 281.608 | + | 367.664i | 0.707557 | + | 0.923779i | ||||
\(399\) | − | 177.227i | − | 0.444178i | ||||||
\(400\) | −294.721 | − | 171.536i | −0.736803 | − | 0.428841i | ||||
\(401\) | −774.286 | −1.93089 | −0.965444 | − | 0.260609i | \(-0.916077\pi\) | ||||
−0.965444 | + | 0.260609i | \(0.916077\pi\) | |||||||
\(402\) | 435.733 | − | 333.744i | 1.08391 | − | 0.830210i | ||||
\(403\) | 7.16396i | 0.0177766i | ||||||||
\(404\) | −29.3468 | + | 108.762i | −0.0726407 | + | 0.269212i | ||||
\(405\) | 545.575 | 1.34710 | ||||||||
\(406\) | 137.816 | + | 179.931i | 0.339448 | + | 0.443181i | ||||
\(407\) | 645.635i | 1.58633i | ||||||||
\(408\) | 256.412 | − | 105.421i | 0.628461 | − | 0.258385i | ||||
\(409\) | 666.884 | 1.63052 | 0.815262 | − | 0.579093i | \(-0.196593\pi\) | ||||
0.815262 | + | 0.579093i | \(0.196593\pi\) | |||||||
\(410\) | 396.008 | − | 303.317i | 0.965873 | − | 0.739798i | ||||
\(411\) | − | 54.2172i | − | 0.131915i | ||||||
\(412\) | 618.839 | + | 166.979i | 1.50204 | + | 0.405290i | ||||
\(413\) | 142.865 | 0.345920 | ||||||||
\(414\) | −0.0949841 | − | 0.124010i | −0.000229430 | − | 0.000299542i | ||||
\(415\) | 97.3687i | 0.234623i | ||||||||
\(416\) | −146.736 | + | 18.6649i | −0.352730 | + | 0.0448675i | ||||
\(417\) | −400.204 | −0.959721 | ||||||||
\(418\) | 511.087 | − | 391.460i | 1.22270 | − | 0.936508i | ||||
\(419\) | 95.3634i | 0.227598i | 0.993504 | + | 0.113799i | \(0.0363019\pi\) | ||||
−0.993504 | + | 0.113799i | \(0.963698\pi\) | |||||||
\(420\) | −56.0000 | + | 207.540i | −0.133333 | + | 0.494144i | ||||
\(421\) | −279.158 | −0.663083 | −0.331541 | − | 0.943441i | \(-0.607569\pi\) | ||||
−0.331541 | + | 0.943441i | \(0.607569\pi\) | |||||||
\(422\) | −96.9140 | − | 126.530i | −0.229654 | − | 0.299834i | ||||
\(423\) | − | 3.85732i | − | 0.00911897i | ||||||
\(424\) | −132.038 | − | 321.151i | −0.311410 | − | 0.757432i | ||||
\(425\) | 247.458 | 0.582254 | ||||||||
\(426\) | 77.5237 | − | 59.3782i | 0.181980 | − | 0.139386i | ||||
\(427\) | 42.1991i | 0.0988270i | ||||||||
\(428\) | −459.266 | − | 123.922i | −1.07305 | − | 0.289538i | ||||
\(429\) | −197.880 | −0.461260 | ||||||||
\(430\) | −231.646 | − | 302.435i | −0.538712 | − | 0.703338i | ||||
\(431\) | − | 169.374i | − | 0.392978i | −0.980506 | − | 0.196489i | \(-0.937046\pi\) | ||
0.980506 | − | 0.196489i | \(-0.0629540\pi\) | |||||||
\(432\) | 218.399 | − | 375.237i | 0.505554 | − | 0.868604i | ||||
\(433\) | −295.214 | −0.681787 | −0.340894 | − | 0.940102i | \(-0.610730\pi\) | ||||
−0.340894 | + | 0.940102i | \(0.610730\pi\) | |||||||
\(434\) | 6.51058 | − | 4.98669i | 0.0150013 | − | 0.0114901i | ||||
\(435\) | 870.010i | 2.00002i | ||||||||
\(436\) | −102.398 | + | 379.494i | −0.234858 | + | 0.870400i | ||||
\(437\) | −19.1649 | −0.0438555 | ||||||||
\(438\) | 34.8000 | + | 45.4346i | 0.0794521 | + | 0.103732i | ||||
\(439\) | 326.773i | 0.744357i | 0.928161 | + | 0.372179i | \(0.121389\pi\) | ||||
−0.928161 | + | 0.372179i | \(0.878611\pi\) | |||||||
\(440\) | −722.198 | + | 296.924i | −1.64136 | + | 0.674827i | ||||
\(441\) | −0.640236 | −0.00145178 | ||||||||
\(442\) | 85.2153 | − | 65.2696i | 0.192795 | − | 0.147669i | ||||
\(443\) | − | 514.789i | − | 1.16205i | −0.813885 | − | 0.581026i | \(-0.802651\pi\) | ||
0.813885 | − | 0.581026i | \(-0.197349\pi\) | |||||||
\(444\) | 518.872 | + | 140.006i | 1.16863 | + | 0.315328i | ||||
\(445\) | −681.462 | −1.53137 | ||||||||
\(446\) | −321.505 | − | 419.754i | −0.720863 | − | 0.941153i | ||||
\(447\) | − | 61.9682i | − | 0.138631i | ||||||
\(448\) | 119.102 | + | 120.360i | 0.265853 | + | 0.268662i | ||||
\(449\) | 602.217 | 1.34124 | 0.670620 | − | 0.741801i | \(-0.266028\pi\) | ||||
0.670620 | + | 0.741801i | \(0.266028\pi\) | |||||||
\(450\) | 3.09508 | − | 2.37064i | 0.00687796 | − | 0.00526808i | ||||
\(451\) | − | 525.646i | − | 1.16551i | ||||||
\(452\) | 101.076 | − | 374.594i | 0.223619 | − | 0.828748i | ||||
\(453\) | 277.904 | 0.613475 | ||||||||
\(454\) | −524.548 | − | 684.845i | −1.15539 | − | 1.50847i | ||||
\(455\) | 83.2282i | 0.182919i | ||||||||
\(456\) | −203.773 | − | 495.630i | −0.446870 | − | 1.08691i | ||||
\(457\) | −264.634 | −0.579069 | −0.289534 | − | 0.957168i | \(-0.593500\pi\) | ||||
−0.289534 | + | 0.957168i | \(0.593500\pi\) | |||||||
\(458\) | −674.646 | + | 516.736i | −1.47303 | + | 1.12825i | ||||
\(459\) | 315.062i | 0.686409i | ||||||||
\(460\) | 22.4429 | + | 6.05569i | 0.0487888 | + | 0.0131645i | ||||
\(461\) | −434.788 | −0.943140 | −0.471570 | − | 0.881829i | \(-0.656313\pi\) | ||||
−0.471570 | + | 0.881829i | \(0.656313\pi\) | |||||||
\(462\) | 137.741 | + | 179.833i | 0.298140 | + | 0.389249i | ||||
\(463\) | 193.258i | 0.417403i | 0.977979 | + | 0.208702i | \(0.0669237\pi\) | ||||
−0.977979 | + | 0.208702i | \(0.933076\pi\) | |||||||
\(464\) | 592.296 | + | 344.734i | 1.27650 | + | 0.742961i | ||||
\(465\) | 31.4801 | 0.0676992 | ||||||||
\(466\) | 347.449 | − | 266.124i | 0.745598 | − | 0.571081i | ||||
\(467\) | 655.297i | 1.40320i | 0.712569 | + | 0.701602i | \(0.247532\pi\) | ||||
−0.712569 | + | 0.701602i | \(0.752468\pi\) | |||||||
\(468\) | 0.440552 | − | 1.63272i | 0.000941351 | − | 0.00348872i | ||||
\(469\) | −243.264 | −0.518687 | ||||||||
\(470\) | 349.041 | + | 455.705i | 0.742640 | + | 0.969585i | ||||
\(471\) | 475.577i | 1.00972i | ||||||||
\(472\) | 399.533 | − | 164.264i | 0.846469 | − | 0.348017i | ||||
\(473\) | −401.442 | −0.848714 | ||||||||
\(474\) | −270.044 | + | 206.836i | −0.569712 | + | 0.436363i | ||||
\(475\) | − | 478.322i | − | 1.00699i | ||||||
\(476\) | −118.633 | − | 32.0105i | −0.249230 | − | 0.0672490i | ||||
\(477\) | 3.96986 | 0.00832256 | ||||||||
\(478\) | 109.653 | + | 143.162i | 0.229400 | + | 0.299503i | ||||
\(479\) | 102.660i | 0.214322i | 0.994242 | + | 0.107161i | \(0.0341761\pi\) | ||||
−0.994242 | + | 0.107161i | \(0.965824\pi\) | |||||||
\(480\) | 82.0180 | + | 644.791i | 0.170871 | + | 1.34331i | ||||
\(481\) | 208.079 | 0.432597 | ||||||||
\(482\) | 596.914 | − | 457.198i | 1.23841 | − | 0.948544i | ||||
\(483\) | − | 6.74342i | − | 0.0139615i | ||||||
\(484\) | −88.2725 | + | 327.145i | −0.182381 | + | 0.675919i | ||||
\(485\) | −464.693 | −0.958129 | ||||||||
\(486\) | 6.00620 | + | 7.84164i | 0.0123584 | + | 0.0161351i | ||||
\(487\) | 150.652i | 0.309347i | 0.987966 | + | 0.154674i | \(0.0494326\pi\) | ||||
−0.987966 | + | 0.154674i | \(0.950567\pi\) | |||||||
\(488\) | 48.5199 | + | 118.013i | 0.0994260 | + | 0.241830i | ||||
\(489\) | 136.783 | 0.279720 | ||||||||
\(490\) | 75.6375 | − | 57.9335i | 0.154362 | − | 0.118232i | ||||
\(491\) | − | 118.795i | − | 0.241946i | −0.992656 | − | 0.120973i | \(-0.961399\pi\) | ||
0.992656 | − | 0.120973i | \(-0.0386014\pi\) | |||||||
\(492\) | −422.442 | − | 113.986i | −0.858622 | − | 0.231680i | ||||
\(493\) | −497.312 | −1.00875 | ||||||||
\(494\) | −126.162 | − | 164.716i | −0.255389 | − | 0.333434i | ||||
\(495\) | − | 8.92733i | − | 0.0180350i | ||||||
\(496\) | 12.4737 | − | 21.4314i | 0.0251487 | − | 0.0432085i | ||||
\(497\) | −43.2805 | −0.0870834 | ||||||||
\(498\) | 67.8047 | − | 51.9341i | 0.136154 | − | 0.104285i | ||||
\(499\) | 546.431i | 1.09505i | 0.836789 | + | 0.547526i | \(0.184430\pi\) | ||||
−0.836789 | + | 0.547526i | \(0.815570\pi\) | |||||||
\(500\) | 26.1470 | − | 96.9027i | 0.0522940 | − | 0.193805i | ||||
\(501\) | −46.5153 | −0.0928449 | ||||||||
\(502\) | −388.584 | − | 507.332i | −0.774073 | − | 1.01062i | ||||
\(503\) | − | 520.718i | − | 1.03522i | −0.855615 | − | 0.517612i | \(-0.826821\pi\) | ||
0.855615 | − | 0.517612i | \(-0.173179\pi\) | |||||||
\(504\) | −1.79047 | + | 0.736132i | −0.00355252 | + | 0.00146058i | ||||
\(505\) | 191.658 | 0.379521 | ||||||||
\(506\) | 19.4467 | − | 14.8949i | 0.0384321 | − | 0.0294366i | ||||
\(507\) | − | 440.643i | − | 0.869119i | ||||||
\(508\) | 277.558 | + | 74.8928i | 0.546375 | + | 0.147427i | ||||
\(509\) | 601.427 | 1.18159 | 0.590793 | − | 0.806823i | \(-0.298815\pi\) | ||||
0.590793 | + | 0.806823i | \(0.298815\pi\) | |||||||
\(510\) | −286.810 | − | 374.456i | −0.562372 | − | 0.734228i | ||||
\(511\) | − | 25.3656i | − | 0.0496391i | ||||||
\(512\) | 471.468 | + | 199.656i | 0.920835 | + | 0.389952i | ||||
\(513\) | 608.997 | 1.18713 | ||||||||
\(514\) | −265.898 | + | 203.661i | −0.517311 | + | 0.396227i | ||||
\(515\) | − | 1090.51i | − | 2.11749i | ||||||
\(516\) | −87.0525 | + | 322.623i | −0.168706 | + | 0.625239i | ||||
\(517\) | 604.886 | 1.16999 | ||||||||
\(518\) | −144.840 | − | 189.102i | −0.279614 | − | 0.365061i | ||||
\(519\) | − | 793.998i | − | 1.52986i | ||||||
\(520\) | 95.6944 | + | 232.754i | 0.184028 | + | 0.447604i | ||||
\(521\) | −582.268 | −1.11760 | −0.558798 | − | 0.829304i | \(-0.688737\pi\) | ||||
−0.558798 | + | 0.829304i | \(0.688737\pi\) | |||||||
\(522\) | −6.22014 | + | 4.76423i | −0.0119160 | + | 0.00912688i | ||||
\(523\) | 143.593i | 0.274557i | 0.990533 | + | 0.137278i | \(0.0438355\pi\) | ||||
−0.990533 | + | 0.137278i | \(0.956165\pi\) | |||||||
\(524\) | −810.367 | − | 218.659i | −1.54650 | − | 0.417288i | ||||
\(525\) | 168.304 | 0.320579 | ||||||||
\(526\) | 104.743 | + | 136.751i | 0.199130 | + | 0.259983i | ||||
\(527\) | 17.9946i | 0.0341453i | ||||||||
\(528\) | 591.972 | + | 344.545i | 1.12116 | + | 0.652548i | ||||
\(529\) | 528.271 | 0.998622 | ||||||||
\(530\) | −469.000 | + | 359.224i | −0.884905 | + | 0.677781i | ||||
\(531\) | 4.93877i | 0.00930088i | ||||||||
\(532\) | −61.8745 | + | 229.312i | −0.116305 | + | 0.431037i | ||||
\(533\) | −169.409 | −0.317840 | ||||||||
\(534\) | 363.475 | + | 474.550i | 0.680665 | + | 0.888670i | ||||
\(535\) | 809.311i | 1.51273i | ||||||||
\(536\) | −680.308 | + | 279.701i | −1.26923 | + | 0.521831i | ||||
\(537\) | 132.838 | 0.247370 | ||||||||
\(538\) | 427.656 | − | 327.557i | 0.794899 | − | 0.608842i | ||||
\(539\) | − | 100.398i | − | 0.186268i | ||||||
\(540\) | −713.160 | − | 192.430i | −1.32067 | − | 0.356352i | ||||
\(541\) | 833.097 | 1.53992 | 0.769960 | − | 0.638092i | \(-0.220276\pi\) | ||||
0.769960 | + | 0.638092i | \(0.220276\pi\) | |||||||
\(542\) | −387.117 | − | 505.416i | −0.714238 | − | 0.932502i | ||||
\(543\) | − | 501.762i | − | 0.924056i | ||||||
\(544\) | −368.573 | + | 46.8828i | −0.677524 | + | 0.0861817i | ||||
\(545\) | 668.740 | 1.22705 | ||||||||
\(546\) | 57.9577 | − | 44.3919i | 0.106150 | − | 0.0813039i | ||||
\(547\) | 356.858i | 0.652391i | 0.945302 | + | 0.326196i | \(0.105767\pi\) | ||||
−0.945302 | + | 0.326196i | \(0.894233\pi\) | |||||||
\(548\) | −18.9286 | + | 70.1509i | −0.0345413 | + | 0.128013i | ||||
\(549\) | −1.45880 | −0.00265720 | ||||||||
\(550\) | 371.751 | + | 485.355i | 0.675911 | + | 0.882464i | ||||
\(551\) | 961.275i | 1.74460i | ||||||||
\(552\) | −7.75347 | − | 18.8585i | −0.0140461 | − | 0.0341640i | ||||
\(553\) | 150.762 | 0.272625 | ||||||||
\(554\) | 566.195 | − | 433.669i | 1.02201 | − | 0.782796i | ||||
\(555\) | − | 914.349i | − | 1.64748i | ||||||
\(556\) | 517.818 | + | 139.721i | 0.931327 | + | 0.251297i | ||||
\(557\) | 324.859 | 0.583230 | 0.291615 | − | 0.956536i | \(-0.405807\pi\) | ||||
0.291615 | + | 0.956536i | \(0.405807\pi\) | |||||||
\(558\) | 0.172387 | + | 0.225067i | 0.000308938 | + | 0.000403346i | ||||
\(559\) | 129.379i | 0.231447i | ||||||||
\(560\) | 144.915 | − | 248.982i | 0.258777 | − | 0.444612i | ||||
\(561\) | −497.040 | −0.885989 | ||||||||
\(562\) | 174.410 | − | 133.587i | 0.310339 | − | 0.237700i | ||||
\(563\) | 85.2531i | 0.151427i | 0.997130 | + | 0.0757133i | \(0.0241234\pi\) | ||||
−0.997130 | + | 0.0757133i | \(0.975877\pi\) | |||||||
\(564\) | 131.169 | − | 486.124i | 0.232570 | − | 0.861922i | ||||
\(565\) | −660.104 | −1.16833 | ||||||||
\(566\) | 625.800 | + | 817.039i | 1.10565 | + | 1.44353i | ||||
\(567\) | 212.106i | 0.374084i | ||||||||
\(568\) | −121.037 | + | 49.7632i | −0.213094 | + | 0.0876112i | ||||
\(569\) | −28.7512 | −0.0505293 | −0.0252647 | − | 0.999681i | \(-0.508043\pi\) | ||||
−0.0252647 | + | 0.999681i | \(0.508043\pi\) | |||||||
\(570\) | −723.803 | + | 554.387i | −1.26983 | + | 0.972609i | ||||
\(571\) | − | 677.532i | − | 1.18657i | −0.804992 | − | 0.593286i | \(-0.797830\pi\) | ||
0.804992 | − | 0.593286i | \(-0.202170\pi\) | |||||||
\(572\) | 256.035 | + | 69.0851i | 0.447613 | + | 0.120778i | ||||
\(573\) | −1055.42 | −1.84191 | ||||||||
\(574\) | 117.922 | + | 153.958i | 0.205439 | + | 0.268219i | ||||
\(575\) | − | 18.2000i | − | 0.0316521i | ||||||
\(576\) | −4.16080 | + | 4.11730i | −0.00722361 | + | 0.00714810i | ||||
\(577\) | −20.6675 | −0.0358189 | −0.0179095 | − | 0.999840i | \(-0.505701\pi\) | ||||
−0.0179095 | + | 0.999840i | \(0.505701\pi\) | |||||||
\(578\) | −244.821 | + | 187.517i | −0.423565 | + | 0.324424i | ||||
\(579\) | − | 1040.40i | − | 1.79688i | ||||||
\(580\) | 303.743 | − | 1125.69i | 0.523694 | − | 1.94085i | ||||
\(581\) | −37.8545 | −0.0651541 | ||||||||
\(582\) | 247.856 | + | 323.598i | 0.425869 | + | 0.556011i | ||||
\(583\) | 622.533i | 1.06781i | ||||||||
\(584\) | −29.1649 | − | 70.9368i | −0.0499399 | − | 0.121467i | ||||
\(585\) | −2.87716 | −0.00491822 | ||||||||
\(586\) | −211.176 | + | 161.748i | −0.360369 | + | 0.276020i | ||||
\(587\) | 551.489i | 0.939504i | 0.882798 | + | 0.469752i | \(0.155657\pi\) | ||||
−0.882798 | + | 0.469752i | \(0.844343\pi\) | |||||||
\(588\) | −80.6864 | − | 21.7714i | −0.137222 | − | 0.0370262i | ||||
\(589\) | 34.7825 | 0.0590534 | ||||||||
\(590\) | −446.899 | − | 583.467i | −0.757455 | − | 0.988927i | ||||
\(591\) | − | 80.3825i | − | 0.136011i | ||||||
\(592\) | −622.482 | − | 362.303i | −1.05149 | − | 0.611998i | ||||
\(593\) | 45.9313 | 0.0774558 | 0.0387279 | − | 0.999250i | \(-0.487669\pi\) | ||||
0.0387279 | + | 0.999250i | \(0.487669\pi\) | |||||||
\(594\) | −617.951 | + | 473.311i | −1.04032 | + | 0.796821i | ||||
\(595\) | 209.054i | 0.351352i | ||||||||
\(596\) | −21.6347 | + | 80.1798i | −0.0362998 | + | 0.134530i | ||||
\(597\) | −691.141 | −1.15769 | ||||||||
\(598\) | −4.80043 | − | 6.26739i | −0.00802747 | − | 0.0104806i | ||||
\(599\) | 662.449i | 1.10593i | 0.833206 | + | 0.552963i | \(0.186503\pi\) | ||||
−0.833206 | + | 0.552963i | \(0.813497\pi\) | |||||||
\(600\) | 470.676 | − | 193.513i | 0.784459 | − | 0.322522i | ||||
\(601\) | −840.257 | −1.39810 | −0.699049 | − | 0.715074i | \(-0.746393\pi\) | ||||
−0.699049 | + | 0.715074i | \(0.746393\pi\) | |||||||
\(602\) | 117.579 | − | 90.0582i | 0.195314 | − | 0.149598i | ||||
\(603\) | − | 8.40952i | − | 0.0139461i | ||||||
\(604\) | −359.576 | − | 97.0234i | −0.595325 | − | 0.160635i | ||||
\(605\) | 576.490 | 0.952876 | ||||||||
\(606\) | −102.226 | − | 133.465i | −0.168690 | − | 0.220240i | ||||
\(607\) | − | 1024.92i | − | 1.68850i | −0.535951 | − | 0.844249i | \(-0.680047\pi\) | ||
0.535951 | − | 0.844249i | \(-0.319953\pi\) | |||||||
\(608\) | 90.6218 | + | 712.431i | 0.149049 | + | 1.17176i | ||||
\(609\) | −338.238 | −0.555399 | ||||||||
\(610\) | 172.343 | − | 132.004i | 0.282530 | − | 0.216400i | ||||
\(611\) | − | 194.946i | − | 0.319061i | ||||||
\(612\) | 1.10659 | − | 4.10110i | 0.00180815 | − | 0.00670114i | ||||
\(613\) | −109.148 | −0.178055 | −0.0890276 | − | 0.996029i | \(-0.528376\pi\) | ||||
−0.0890276 | + | 0.996029i | \(0.528376\pi\) | |||||||
\(614\) | 465.549 | + | 607.817i | 0.758223 | + | 0.989929i | ||||
\(615\) | 744.422i | 1.21044i | ||||||||
\(616\) | −115.436 | − | 280.772i | −0.187397 | − | 0.455799i | ||||
\(617\) | 78.9177 | 0.127905 | 0.0639527 | − | 0.997953i | \(-0.479629\pi\) | ||||
0.0639527 | + | 0.997953i | \(0.479629\pi\) | |||||||
\(618\) | −759.398 | + | 581.651i | −1.22880 | + | 0.941183i | ||||
\(619\) | 715.995i | 1.15670i | 0.815790 | + | 0.578348i | \(0.196302\pi\) | ||||
−0.815790 | + | 0.578348i | \(0.803698\pi\) | |||||||
\(620\) | −40.7317 | − | 10.9905i | −0.0656963 | − | 0.0177266i | ||||
\(621\) | 23.1721 | 0.0373141 | ||||||||
\(622\) | 238.816 | + | 311.796i | 0.383949 | + | 0.501281i | ||||
\(623\) | − | 264.935i | − | 0.425257i | ||||||
\(624\) | 111.042 | − | 190.784i | 0.177952 | − | 0.305744i | ||||
\(625\) | −703.583 | −1.12573 | ||||||||
\(626\) | 678.051 | − | 519.344i | 1.08315 | − | 0.829623i | ||||
\(627\) | 960.749i | 1.53230i | ||||||||
\(628\) | 166.036 | − | 615.343i | 0.264389 | − | 0.979845i | ||||
\(629\) | 522.657 | 0.830933 | ||||||||
\(630\) | 2.00273 | + | 2.61475i | 0.00317894 | + | 0.00415039i | ||||
\(631\) | 849.316i | 1.34598i | 0.739650 | + | 0.672992i | \(0.234991\pi\) | ||||
−0.739650 | + | 0.672992i | \(0.765009\pi\) | |||||||
\(632\) | 421.617 | − | 173.343i | 0.667116 | − | 0.274278i | ||||
\(633\) | 237.853 | 0.375755 | ||||||||
\(634\) | 176.321 | − | 135.051i | 0.278109 | − | 0.213014i | ||||
\(635\) | − | 489.109i | − | 0.770251i | ||||||
\(636\) | 500.306 | + | 134.996i | 0.786645 | + | 0.212258i | ||||
\(637\) | −32.3570 | −0.0507960 | ||||||||
\(638\) | −747.102 | − | 975.409i | −1.17101 | − | 1.52885i | ||||
\(639\) | − | 1.49618i | − | 0.00234144i | ||||||
\(640\) | 118.991 | − | 862.920i | 0.185923 | − | 1.34831i | ||||
\(641\) | 488.089 | 0.761450 | 0.380725 | − | 0.924688i | \(-0.375674\pi\) | ||||
0.380725 | + | 0.924688i | \(0.375674\pi\) | |||||||
\(642\) | 563.581 | − | 431.667i | 0.877851 | − | 0.672379i | ||||
\(643\) | − | 257.106i | − | 0.399854i | −0.979811 | − | 0.199927i | \(-0.935930\pi\) | ||
0.979811 | − | 0.199927i | \(-0.0640705\pi\) | |||||||
\(644\) | −2.35430 | + | 8.72522i | −0.00365575 | + | 0.0135485i | ||||
\(645\) | 568.522 | 0.881430 | ||||||||
\(646\) | −316.897 | − | 413.738i | −0.490552 | − | 0.640461i | ||||
\(647\) | − | 699.536i | − | 1.08120i | −0.841280 | − | 0.540600i | \(-0.818197\pi\) | ||
0.841280 | − | 0.540600i | \(-0.181803\pi\) | |||||||
\(648\) | 243.876 | + | 593.171i | 0.376352 | + | 0.915387i | ||||
\(649\) | −774.472 | −1.19333 | ||||||||
\(650\) | 156.423 | − | 119.810i | 0.240651 | − | 0.184324i | ||||
\(651\) | 12.2387i | 0.0187998i | ||||||||
\(652\) | −176.981 | − | 47.7544i | −0.271444 | − | 0.0732429i | ||||
\(653\) | 277.629 | 0.425160 | 0.212580 | − | 0.977144i | \(-0.431813\pi\) | ||||
0.212580 | + | 0.977144i | \(0.431813\pi\) | |||||||
\(654\) | −356.690 | − | 465.691i | −0.545397 | − | 0.712065i | ||||
\(655\) | 1428.02i | 2.18018i | ||||||||
\(656\) | 506.796 | + | 294.971i | 0.772556 | + | 0.449650i | ||||
\(657\) | 0.876874 | 0.00133466 | ||||||||
\(658\) | −177.167 | + | 135.698i | −0.269250 | + | 0.206228i | ||||
\(659\) | − | 522.721i | − | 0.793204i | −0.917991 | − | 0.396602i | \(-0.870189\pi\) | ||
0.917991 | − | 0.396602i | \(-0.129811\pi\) | |||||||
\(660\) | 303.576 | − | 1125.08i | 0.459964 | − | 1.70466i | ||||
\(661\) | 515.922 | 0.780518 | 0.390259 | − | 0.920705i | \(-0.372385\pi\) | ||||
0.390259 | + | 0.920705i | \(0.372385\pi\) | |||||||
\(662\) | 145.484 | + | 189.943i | 0.219765 | + | 0.286923i | ||||
\(663\) | 160.189i | 0.241612i | ||||||||
\(664\) | −105.863 | + | 43.5245i | −0.159432 | + | 0.0655489i | ||||
\(665\) | 404.090 | 0.607654 | ||||||||
\(666\) | 6.53714 | − | 5.00704i | 0.00981553 | − | 0.00751807i | ||||
\(667\) | 36.5761i | 0.0548368i | ||||||||
\(668\) | 60.1855 | + | 16.2397i | 0.0900981 | + | 0.0243109i | ||||
\(669\) | 789.060 | 1.17946 | ||||||||
\(670\) | 760.959 | + | 993.502i | 1.13576 | + | 1.48284i | ||||
\(671\) | − | 228.762i | − | 0.340927i | ||||||
\(672\) | −250.678 | + | 31.8865i | −0.373033 | + | 0.0474502i | ||||
\(673\) | −1231.64 | −1.83008 | −0.915041 | − | 0.403361i | \(-0.867842\pi\) | ||||
−0.915041 | + | 0.403361i | \(0.867842\pi\) | |||||||
\(674\) | −91.0803 | + | 69.7617i | −0.135134 | + | 0.103504i | ||||
\(675\) | 578.335i | 0.856792i | ||||||||
\(676\) | −153.840 | + | 570.142i | −0.227574 | + | 0.843405i | ||||
\(677\) | −576.563 | −0.851645 | −0.425822 | − | 0.904807i | \(-0.640015\pi\) | ||||
−0.425822 | + | 0.904807i | \(0.640015\pi\) | |||||||
\(678\) | 352.084 | + | 459.677i | 0.519297 | + | 0.677990i | ||||
\(679\) | − | 180.661i | − | 0.266069i | ||||||
\(680\) | 240.367 | + | 584.637i | 0.353481 | + | 0.859760i | ||||
\(681\) | 1287.38 | 1.89043 | ||||||||
\(682\) | −35.2939 | + | 27.0329i | −0.0517506 | + | 0.0396377i | ||||
\(683\) | − | 161.395i | − | 0.236302i | −0.992996 | − | 0.118151i | \(-0.962303\pi\) | ||
0.992996 | − | 0.118151i | \(-0.0376968\pi\) | |||||||
\(684\) | −7.92718 | − | 2.13897i | −0.0115895 | − | 0.00312715i | ||||
\(685\) | 123.619 | 0.180466 | ||||||||
\(686\) | 22.5231 | + | 29.4060i | 0.0328325 | + | 0.0428658i | ||||
\(687\) | − | 1268.21i | − | 1.84601i | ||||||
\(688\) | 225.272 | − | 387.046i | 0.327430 | − | 0.562566i | ||||
\(689\) | 200.634 | 0.291196 | ||||||||
\(690\) | −27.5404 | + | 21.0942i | −0.0399136 | + | 0.0305713i | ||||
\(691\) | − | 113.661i | − | 0.164488i | −0.996612 | − | 0.0822442i | \(-0.973791\pi\) | ||
0.996612 | − | 0.0822442i | \(-0.0262087\pi\) | |||||||
\(692\) | −277.205 | + | 1027.34i | −0.400585 | + | 1.48460i | ||||
\(693\) | 3.47072 | 0.00500826 | ||||||||
\(694\) | 326.865 | + | 426.753i | 0.470988 | + | 0.614917i | ||||
\(695\) | − | 912.491i | − | 1.31294i | ||||||
\(696\) | −945.909 | + | 388.900i | −1.35906 | + | 0.558765i | ||||
\(697\) | −425.524 | −0.610507 | ||||||||
\(698\) | 154.093 | − | 118.025i | 0.220764 | − | 0.169091i | ||||
\(699\) | 653.140i | 0.934391i | ||||||||
\(700\) | −217.766 | − | 58.7593i | −0.311095 | − | 0.0839418i | ||||
\(701\) | 331.011 | 0.472198 | 0.236099 | − | 0.971729i | \(-0.424131\pi\) | ||||
0.236099 | + | 0.971729i | \(0.424131\pi\) | |||||||
\(702\) | 152.542 | + | 199.157i | 0.217296 | + | 0.283700i | ||||
\(703\) | − | 1010.27i | − | 1.43708i | ||||||
\(704\) | −645.654 | − | 652.475i | −0.917123 | − | 0.926811i | ||||
\(705\) | −856.640 | −1.21509 | ||||||||
\(706\) | −503.210 | + | 385.427i | −0.712761 | + | 0.545930i | ||||
\(707\) | 74.5119i | 0.105392i | ||||||||
\(708\) | −167.944 | + | 622.414i | −0.237209 | + | 0.879116i | ||||
\(709\) | −591.351 | −0.834063 | −0.417032 | − | 0.908892i | \(-0.636930\pi\) | ||||
−0.417032 | + | 0.908892i | \(0.636930\pi\) | |||||||
\(710\) | 135.386 | + | 176.759i | 0.190685 | + | 0.248957i | ||||
\(711\) | 5.21176i | 0.00733018i | ||||||||
\(712\) | −304.618 | − | 740.912i | −0.427834 | − | 1.04061i | ||||
\(713\) | 1.32346 | 0.00185618 | ||||||||
\(714\) | 145.579 | − | 111.504i | 0.203892 | − | 0.156169i | ||||
\(715\) | − | 451.181i | − | 0.631022i | ||||||
\(716\) | −171.877 | − | 46.3770i | −0.240051 | − | 0.0647724i | ||||
\(717\) | −269.119 | −0.375340 | ||||||||
\(718\) | −717.754 | − | 937.093i | −0.999658 | − | 1.30514i | ||||
\(719\) | − | 483.600i | − | 0.672600i | −0.941755 | − | 0.336300i | \(-0.890824\pi\) | ||
0.941755 | − | 0.336300i | \(-0.109176\pi\) | |||||||
\(720\) | 8.60719 | + | 5.00964i | 0.0119544 | + | 0.00695784i | ||||
\(721\) | 423.962 | 0.588020 | ||||||||
\(722\) | −226.545 | + | 173.519i | −0.313775 | + | 0.240332i | ||||
\(723\) | 1122.09i | 1.55199i | ||||||||
\(724\) | −175.178 | + | 649.223i | −0.241959 | + | 0.896717i | ||||
\(725\) | −912.877 | −1.25914 | ||||||||
\(726\) | −307.486 | − | 401.451i | −0.423534 | − | 0.552962i | ||||
\(727\) | − | 659.508i | − | 0.907163i | −0.891215 | − | 0.453582i | \(-0.850146\pi\) | ||
0.891215 | − | 0.453582i | \(-0.149854\pi\) | |||||||
\(728\) | −90.4890 | + | 37.2036i | −0.124298 | + | 0.0511038i | ||||
\(729\) | −736.257 | −1.00995 | ||||||||
\(730\) | −103.594 | + | 79.3464i | −0.141910 | + | 0.108694i | ||||
\(731\) | 324.977i | 0.444565i | ||||||||
\(732\) | −183.847 | − | 49.6070i | −0.251157 | − | 0.0677691i | ||||
\(733\) | 211.776 | 0.288916 | 0.144458 | − | 0.989511i | \(-0.453856\pi\) | ||||
0.144458 | + | 0.989511i | \(0.453856\pi\) | |||||||
\(734\) | −213.484 | − | 278.723i | −0.290851 | − | 0.379732i | ||||
\(735\) | 142.184i | 0.193448i | ||||||||
\(736\) | 3.44812 | + | 27.1077i | 0.00468495 | + | 0.0368311i | ||||
\(737\) | 1318.74 | 1.78933 | ||||||||
\(738\) | −5.32224 | + | 4.07650i | −0.00721171 | + | 0.00552371i | ||||
\(739\) | 246.912i | 0.334116i | 0.985947 | + | 0.167058i | \(0.0534267\pi\) | ||||
−0.985947 | + | 0.167058i | \(0.946573\pi\) | |||||||
\(740\) | −319.223 | + | 1183.06i | −0.431382 | + | 1.59873i | ||||
\(741\) | 309.636 | 0.417863 | ||||||||
\(742\) | −139.657 | − | 182.335i | −0.188217 | − | 0.245735i | ||||
\(743\) | 333.126i | 0.448352i | 0.974549 | + | 0.224176i | \(0.0719691\pi\) | ||||
−0.974549 | + | 0.224176i | \(0.928031\pi\) | |||||||
\(744\) | 14.0718 | + | 34.2264i | 0.0189138 | + | 0.0460033i | ||||
\(745\) | 141.292 | 0.189653 | ||||||||
\(746\) | 879.651 | − | 673.757i | 1.17916 | − | 0.903160i | ||||
\(747\) | − | 1.30861i | − | 0.00175182i | ||||||
\(748\) | 643.113 | + | 173.529i | 0.859776 | + | 0.231991i | ||||
\(749\) | −314.640 | −0.420080 | ||||||||
\(750\) | 91.0796 | + | 118.913i | 0.121439 | + | 0.158550i | ||||
\(751\) | − | 609.916i | − | 0.812139i | −0.913842 | − | 0.406069i | \(-0.866899\pi\) | ||
0.913842 | − | 0.406069i | \(-0.133101\pi\) | |||||||
\(752\) | −339.436 | + | 583.194i | −0.451378 | + | 0.775524i | ||||
\(753\) | 953.691 | 1.26652 | ||||||||
\(754\) | −314.361 | + | 240.781i | −0.416924 | + | 0.319338i | ||||
\(755\) | 633.640i | 0.839259i | ||||||||
\(756\) | 74.8119 | − | 277.259i | 0.0989576 | − | 0.366744i | ||||
\(757\) | 439.344 | 0.580375 | 0.290187 | − | 0.956970i | \(-0.406282\pi\) | ||||
0.290187 | + | 0.956970i | \(0.406282\pi\) | |||||||
\(758\) | −911.989 | − | 1190.68i | −1.20315 | − | 1.57082i | ||||
\(759\) | 36.5561i | 0.0481635i | ||||||||
\(760\) | 1130.07 | − | 464.616i | 1.48693 | − | 0.611337i | ||||
\(761\) | −460.968 | −0.605740 | −0.302870 | − | 0.953032i | \(-0.597945\pi\) | ||||
−0.302870 | + | 0.953032i | \(0.597945\pi\) | |||||||
\(762\) | −340.601 | + | 260.879i | −0.446984 | + | 0.342361i | ||||
\(763\) | 259.989i | 0.340746i | ||||||||
\(764\) | 1365.59 | + | 368.473i | 1.78742 | + | 0.482294i | ||||
\(765\) | −7.22689 | −0.00944692 | ||||||||
\(766\) | 299.449 | + | 390.958i | 0.390925 | + | 0.510389i | ||||
\(767\) | 249.602i | 0.325426i | ||||||||
\(768\) | −664.379 | + | 377.399i | −0.865077 | + | 0.491405i | ||||
\(769\) | 1431.37 | 1.86134 | 0.930670 | − | 0.365859i | \(-0.119225\pi\) | ||||
0.930670 | + | 0.365859i | \(0.119225\pi\) | |||||||
\(770\) | −410.031 | + | 314.058i | −0.532508 | + | 0.407868i | ||||
\(771\) | − | 499.838i | − | 0.648299i | ||||||
\(772\) | −363.229 | + | 1346.15i | −0.470503 | + | 1.74372i | ||||
\(773\) | 245.480 | 0.317568 | 0.158784 | − | 0.987313i | \(-0.449243\pi\) | ||||
0.158784 | + | 0.987313i | \(0.449243\pi\) | |||||||
\(774\) | 3.11327 | + | 4.06465i | 0.00402231 | + | 0.00525149i | ||||
\(775\) | 33.0312i | 0.0426209i | ||||||||
\(776\) | −207.721 | − | 505.232i | −0.267681 | − | 0.651073i | ||||
\(777\) | 355.476 | 0.457498 | ||||||||
\(778\) | 473.186 | − | 362.431i | 0.608208 | − | 0.465849i | ||||
\(779\) | 822.513i | 1.05586i | ||||||||
\(780\) | −362.597 | − | 97.8385i | −0.464868 | − | 0.125434i | ||||
\(781\) | 234.624 | 0.300414 | ||||||||
\(782\) | −12.0578 | − | 15.7426i | −0.0154192 | − | 0.0201311i | ||||
\(783\) | − | 1162.27i | − | 1.48438i | ||||||
\(784\) | 96.7981 | + | 56.3394i | 0.123467 | + | 0.0718615i | ||||
\(785\) | −1084.35 | −1.38134 | ||||||||
\(786\) | 994.430 | − | 761.670i | 1.26518 | − | 0.969046i | ||||
\(787\) | 579.993i | 0.736967i | 0.929634 | + | 0.368483i | \(0.120123\pi\) | ||||
−0.929634 | + | 0.368483i | \(0.879877\pi\) | |||||||
\(788\) | −28.0636 | + | 104.006i | −0.0356137 | + | 0.131987i | ||||
\(789\) | −257.067 | −0.325813 | ||||||||
\(790\) | −471.601 | − | 615.718i | −0.596963 | − | 0.779389i | ||||
\(791\) | − | 256.632i | − | 0.324440i | ||||||
\(792\) | 9.70615 | − | 3.99058i | 0.0122552 | − | 0.00503861i | ||||
\(793\) | −73.7268 | −0.0929720 | ||||||||
\(794\) | 202.953 | − | 155.449i | 0.255608 | − | 0.195780i | ||||
\(795\) | − | 881.632i | − | 1.10897i | ||||||
\(796\) | 894.257 | + | 241.295i | 1.12344 | + | 0.303134i | ||||
\(797\) | −1348.22 | −1.69162 | −0.845810 | − | 0.533484i | \(-0.820882\pi\) | ||||
−0.845810 | + | 0.533484i | \(0.820882\pi\) | |||||||
\(798\) | −215.532 | − | 281.396i | −0.270090 | − | 0.352627i | ||||
\(799\) | − | 489.670i | − | 0.612853i | ||||||
\(800\) | −676.561 | + | 86.0592i | −0.845701 | + | 0.107574i | ||||
\(801\) | 9.15867 | 0.0114340 | ||||||||
\(802\) | −1229.39 | + | 941.635i | −1.53291 | + | 1.17411i | ||||
\(803\) | 137.507i | 0.171241i | ||||||||
\(804\) | 285.968 | − | 1059.82i | 0.355682 | − | 1.31818i | ||||
\(805\) | 15.3755 | 0.0190999 | ||||||||
\(806\) | 8.71232 | + | 11.3747i | 0.0108093 | + | 0.0141126i | ||||
\(807\) | 803.913i | 0.996175i | ||||||||
\(808\) | 85.6725 | + | 208.378i | 0.106030 | + | 0.257894i | ||||
\(809\) | −697.465 | −0.862132 | −0.431066 | − | 0.902320i | \(-0.641862\pi\) | ||||
−0.431066 | + | 0.902320i | \(0.641862\pi\) | |||||||
\(810\) | 866.249 | − | 663.492i | 1.06944 | − | 0.819126i | ||||
\(811\) | − | 482.271i | − | 0.594662i | −0.954774 | − | 0.297331i | \(-0.903903\pi\) | ||
0.954774 | − | 0.297331i | \(-0.0960965\pi\) | |||||||
\(812\) | 437.641 | + | 118.087i | 0.538967 | + | 0.145428i | ||||
\(813\) | 950.089 | 1.16862 | ||||||||
\(814\) | 785.178 | + | 1025.12i | 0.964592 | + | 1.25936i | ||||
\(815\) | 311.874i | 0.382668i | ||||||||
\(816\) | 278.918 | − | 479.216i | 0.341811 | − | 0.587274i | ||||
\(817\) | 628.161 | 0.768863 | ||||||||
\(818\) | 1058.86 | − | 811.020i | 1.29445 | − | 0.991467i | ||||
\(819\) | − | 1.11857i | − | 0.00136577i | ||||||
\(820\) | 259.897 | − | 963.197i | 0.316947 | − | 1.17463i | ||||
\(821\) | −386.345 | −0.470579 | −0.235289 | − | 0.971925i | \(-0.575604\pi\) | ||||
−0.235289 | + | 0.971925i | \(0.575604\pi\) | |||||||
\(822\) | −65.9354 | − | 86.0846i | −0.0802134 | − | 0.104726i | ||||
\(823\) | − | 354.386i | − | 0.430603i | −0.976548 | − | 0.215301i | \(-0.930927\pi\) | ||
0.976548 | − | 0.215301i | \(-0.0690734\pi\) | |||||||
\(824\) | 1185.64 | − | 487.465i | 1.43889 | − | 0.591584i | ||||
\(825\) | −912.377 | −1.10591 | ||||||||
\(826\) | 226.837 | − | 173.743i | 0.274621 | − | 0.210342i | ||||
\(827\) | 1260.47i | 1.52414i | 0.647493 | + | 0.762072i | \(0.275818\pi\) | ||||
−0.647493 | + | 0.762072i | \(0.724182\pi\) | |||||||
\(828\) | −0.301626 | − | 0.0813869i | −0.000364283 | − | 9.82934e-5i | ||||
\(829\) | −1443.69 | −1.74148 | −0.870739 | − | 0.491746i | \(-0.836359\pi\) | ||||
−0.870739 | + | 0.491746i | \(0.836359\pi\) | |||||||
\(830\) | 118.413 | + | 154.599i | 0.142667 | + | 0.186264i | ||||
\(831\) | 1064.34i | 1.28080i | ||||||||
\(832\) | −210.284 | + | 208.086i | −0.252745 | + | 0.250103i | ||||
\(833\) | −81.2750 | −0.0975690 | ||||||||
\(834\) | −635.432 | + | 486.701i | −0.761909 | + | 0.583574i | ||||
\(835\) | − | 106.058i | − | 0.127016i | ||||||
\(836\) | 335.422 | − | 1243.10i | 0.401223 | − | 1.48696i | ||||
\(837\) | −42.0552 | −0.0502451 | ||||||||
\(838\) | 115.975 | + | 151.415i | 0.138394 | + | 0.180687i | ||||
\(839\) | − | 44.6511i | − | 0.0532194i | −0.999646 | − | 0.0266097i | \(-0.991529\pi\) | ||
0.999646 | − | 0.0266097i | \(-0.00847114\pi\) | |||||||
\(840\) | 163.481 | + | 397.630i | 0.194621 | + | 0.473369i | ||||
\(841\) | 993.593 | 1.18144 | ||||||||
\(842\) | −443.239 | + | 339.493i | −0.526412 | + | 0.403198i | ||||
\(843\) | 327.859i | 0.388920i | ||||||||
\(844\) | −307.755 | − | 83.0406i | −0.364638 | − | 0.0983893i | ||||
\(845\) | 1004.70 | 1.18899 | ||||||||
\(846\) | −4.69102 | − | 6.12455i | −0.00554494 | − | 0.00723942i | ||||
\(847\) | 224.125i | 0.264610i | ||||||||
\(848\) | −600.208 | − | 349.339i | −0.707793 | − | 0.411957i | ||||
\(849\) | −1535.88 | −1.80905 | ||||||||
\(850\) | 392.907 | − | 300.942i | 0.462243 | − | 0.354049i | ||||
\(851\) | − | 38.4402i | − | 0.0451707i | ||||||
\(852\) | 50.8781 | − | 188.558i | 0.0597161 | − | 0.221312i | ||||
\(853\) | −118.167 | −0.138531 | −0.0692655 | − | 0.997598i | \(-0.522066\pi\) | ||||
−0.0692655 | + | 0.997598i | \(0.522066\pi\) | |||||||
\(854\) | 51.3198 | + | 67.0026i | 0.0600934 | + | 0.0784574i | ||||
\(855\) | 13.9692i | 0.0163382i | ||||||||
\(856\) | −879.915 | + | 361.768i | −1.02794 | + | 0.422626i | ||||
\(857\) | −153.130 | −0.178682 | −0.0893408 | − | 0.996001i | \(-0.528476\pi\) | ||||
−0.0893408 | + | 0.996001i | \(0.528476\pi\) | |||||||
\(858\) | −314.189 | + | 240.649i | −0.366188 | + | 0.280477i | ||||
\(859\) | 136.656i | 0.159087i | 0.996831 | + | 0.0795437i | \(0.0253463\pi\) | ||||
−0.996831 | + | 0.0795437i | \(0.974654\pi\) | |||||||
\(860\) | −735.603 | − | 198.486i | −0.855353 | − | 0.230797i | ||||
\(861\) | −289.412 | −0.336135 | ||||||||
\(862\) | −205.981 | − | 268.927i | −0.238957 | − | 0.311980i | ||||
\(863\) | 1462.52i | 1.69470i | 0.531036 | + | 0.847349i | \(0.321803\pi\) | ||||
−0.531036 | + | 0.847349i | \(0.678197\pi\) | |||||||
\(864\) | −109.570 | − | 861.394i | −0.126817 | − | 0.996983i | ||||
\(865\) | 1810.37 | 2.09291 | ||||||||
\(866\) | −468.732 | + | 359.019i | −0.541261 | + | 0.414572i | ||||
\(867\) | − | 460.217i | − | 0.530816i | ||||||
\(868\) | 4.27284 | − | 15.8355i | 0.00492262 | − | 0.0182436i | ||||
\(869\) | −817.281 | −0.940484 | ||||||||
\(870\) | 1058.05 | + | 1381.38i | 1.21615 | + | 1.58779i | ||||
\(871\) | − | 425.011i | − | 0.487957i | ||||||
\(872\) | 298.931 | + | 727.080i | 0.342811 | + | 0.833807i | ||||
\(873\) | 6.24535 | 0.00715389 | ||||||||
\(874\) | −30.4295 | + | 23.3070i | −0.0348163 | + | 0.0266671i | ||||
\(875\) | − | 66.3874i | − | 0.0758713i | ||||||
\(876\) | 110.509 | + | 29.8183i | 0.126152 | + | 0.0340392i | ||||
\(877\) | 29.8881 | 0.0340799 | 0.0170399 | − | 0.999855i | \(-0.494576\pi\) | ||||
0.0170399 | + | 0.999855i | \(0.494576\pi\) | |||||||
\(878\) | 397.399 | + | 518.841i | 0.452619 | + | 0.590935i | ||||
\(879\) | − | 396.972i | − | 0.451618i | ||||||
\(880\) | −785.586 | + | 1349.74i | −0.892712 | + | 1.53379i | ||||
\(881\) | −497.832 | −0.565076 | −0.282538 | − | 0.959256i | \(-0.591176\pi\) | ||||
−0.282538 | + | 0.959256i | \(0.591176\pi\) | |||||||
\(882\) | −1.01655 | + | 0.778612i | −0.00115255 | + | 0.000882780i | ||||
\(883\) | 1430.98i | 1.62059i | 0.586022 | + | 0.810295i | \(0.300693\pi\) | ||||
−0.586022 | + | 0.810295i | \(0.699307\pi\) | |||||||
\(884\) | 55.9261 | − | 207.266i | 0.0632648 | − | 0.234464i | ||||
\(885\) | 1096.81 | 1.23933 | ||||||||
\(886\) | −626.052 | − | 817.368i | −0.706605 | − | 0.922538i | ||||
\(887\) | − | 1187.21i | − | 1.33846i | −0.743057 | − | 0.669228i | \(-0.766625\pi\) | ||
0.743057 | − | 0.669228i | \(-0.233375\pi\) | |||||||
\(888\) | 994.117 | − | 408.720i | 1.11950 | − | 0.460271i | ||||
\(889\) | 190.153 | 0.213896 | ||||||||
\(890\) | −1082.01 | + | 828.748i | −1.21574 | + | 0.931178i | ||||
\(891\) | − | 1149.83i | − | 1.29049i | ||||||
\(892\) | −1020.95 | − | 275.481i | −1.14457 | − | 0.308835i | ||||
\(893\) | −946.504 | −1.05991 | ||||||||
\(894\) | −75.3616 | − | 98.3914i | −0.0842971 | − | 0.110058i | ||||
\(895\) | 302.879i | 0.338412i | ||||||||
\(896\) | 335.482 | + | 46.2607i | 0.374422 | + | 0.0516302i | ||||
\(897\) | 11.7815 | 0.0131344 | ||||||||
\(898\) | 956.183 | − | 732.376i | 1.06479 | − | 0.815563i | ||||
\(899\) | − | 66.3823i | − | 0.0738401i | ||||||
\(900\) | 2.03128 | − | 7.52807i | 0.00225697 | − | 0.00836452i | ||||
\(901\) | 503.956 | 0.559329 | ||||||||
\(902\) | −639.256 | − | 834.607i | −0.708709 | − | 0.925285i | ||||
\(903\) | 221.027i | 0.244770i | ||||||||
\(904\) | −295.071 | − | 717.691i | −0.326406 | − | 0.793906i | ||||
\(905\) | 1144.05 | 1.26415 | ||||||||
\(906\) | 441.249 | − | 337.968i | 0.487029 | − | 0.373034i | ||||
\(907\) | − | 818.659i | − | 0.902601i | −0.892372 | − | 0.451301i | \(-0.850960\pi\) | ||
0.892372 | − | 0.451301i | \(-0.149040\pi\) | |||||||
\(908\) | −1665.72 | − | 449.457i | −1.83450 | − | 0.494997i | ||||
\(909\) | −2.57584 | −0.00283370 | ||||||||
\(910\) | 101.217 | + | 132.147i | 0.111227 | + | 0.145217i | ||||
\(911\) | 774.905i | 0.850610i | 0.905050 | + | 0.425305i | \(0.139833\pi\) | ||||
−0.905050 | + | 0.425305i | \(0.860167\pi\) | |||||||
\(912\) | −926.296 | − | 539.132i | −1.01568 | − | 0.591154i | ||||
\(913\) | 205.210 | 0.224764 | ||||||||
\(914\) | −420.179 | + | 321.831i | −0.459715 | + | 0.352112i | ||||
\(915\) | 323.973i | 0.354069i | ||||||||
\(916\) | −442.765 | + | 1640.92i | −0.483367 | + | 1.79140i | ||||
\(917\) | −555.177 | −0.605428 | ||||||||
\(918\) | 383.157 | + | 500.247i | 0.417383 | + | 0.544931i | ||||
\(919\) | − | 1695.99i | − | 1.84547i | −0.385437 | − | 0.922734i | \(-0.625949\pi\) | ||
0.385437 | − | 0.922734i | \(-0.374051\pi\) | |||||||
\(920\) | 42.9987 | − | 17.6784i | 0.0467377 | − | 0.0192157i | ||||
\(921\) | −1142.58 | −1.24059 | ||||||||
\(922\) | −690.344 | + | 528.760i | −0.748746 | + | 0.573492i | ||||
\(923\) | − | 75.6160i | − | 0.0819241i | ||||||
\(924\) | 437.402 | + | 118.023i | 0.473378 | + | 0.127730i | ||||
\(925\) | 959.401 | 1.03719 | ||||||||
\(926\) | 235.027 | + | 306.849i | 0.253809 | + | 0.331370i | ||||
\(927\) | 14.6562i | 0.0158103i | ||||||||
\(928\) | 1359.67 | − | 172.952i | 1.46516 | − | 0.186370i | ||||
\(929\) | −1173.31 | −1.26298 | −0.631491 | − | 0.775383i | \(-0.717557\pi\) | ||||
−0.631491 | + | 0.775383i | \(0.717557\pi\) | |||||||
\(930\) | 49.9833 | − | 38.2840i | 0.0537455 | − | 0.0411656i | ||||
\(931\) | 157.100i | 0.168743i | ||||||||
\(932\) | 228.028 | − | 845.088i | 0.244665 | − | 0.906747i | ||||
\(933\) | −586.120 | −0.628210 | ||||||||
\(934\) | 796.928 | + | 1040.46i | 0.853242 | + | 1.11398i | ||||
\(935\) | − | 1133.28i | − | 1.21207i | ||||||
\(936\) | −1.28611 | − | 3.12816i | −0.00137405 | − | 0.00334205i | ||||
\(937\) | −315.505 | −0.336719 | −0.168359 | − | 0.985726i | \(-0.553847\pi\) | ||||
−0.168359 | + | 0.985726i | \(0.553847\pi\) | |||||||
\(938\) | −386.248 | + | 295.842i | −0.411779 | + | 0.315396i | ||||
\(939\) | 1274.61i | 1.35741i | ||||||||
\(940\) | 1108.40 | + | 299.075i | 1.17914 | + | 0.318165i | ||||
\(941\) | −423.505 | −0.450058 | −0.225029 | − | 0.974352i | \(-0.572248\pi\) | ||||
−0.225029 | + | 0.974352i | \(0.572248\pi\) | |||||||
\(942\) | 578.365 | + | 755.108i | 0.613976 | + | 0.801601i | ||||
\(943\) | 31.2963i | 0.0331880i | ||||||||
\(944\) | 434.601 | − | 746.699i | 0.460383 | − | 0.790995i | ||||
\(945\) | −488.581 | −0.517017 | ||||||||
\(946\) | −637.398 | + | 488.206i | −0.673782 | + | 0.516074i | ||||
\(947\) | − | 1147.28i | − | 1.21149i | −0.795660 | − | 0.605743i | \(-0.792876\pi\) | ||
0.795660 | − | 0.605743i | \(-0.207124\pi\) | |||||||
\(948\) | −177.227 | + | 656.818i | −0.186949 | + | 0.692846i | ||||
\(949\) | 44.3166 | 0.0466982 | ||||||||
\(950\) | −581.703 | − | 759.466i | −0.612319 | − | 0.799438i | ||||
\(951\) | 331.451i | 0.348529i | ||||||||
\(952\) | −227.292 | + | 93.4487i | −0.238752 | + | 0.0981604i | ||||
\(953\) | 736.494 | 0.772816 | 0.386408 | − | 0.922328i | \(-0.373716\pi\) | ||||
0.386408 | + | 0.922328i | \(0.373716\pi\) | |||||||
\(954\) | 6.30323 | − | 4.82788i | 0.00660716 | − | 0.00506067i | ||||
\(955\) | − | 2406.42i | − | 2.51981i | ||||||
\(956\) | 348.209 | + | 93.9563i | 0.364235 | + | 0.0982806i | ||||
\(957\) | 1833.59 | 1.91598 | ||||||||
\(958\) | 124.849 | + | 163.001i | 0.130322 | + | 0.170148i | ||||
\(959\) | 48.0599i | 0.0501146i | ||||||||
\(960\) | 914.377 | + | 924.036i | 0.952476 | + | 0.962538i | ||||
\(961\) | 958.598 | 0.997501 | ||||||||
\(962\) | 330.382 | − | 253.052i | 0.343433 | − | 0.263048i | ||||
\(963\) | − | 10.8769i | − | 0.0112948i | ||||||
\(964\) | 391.749 | − | 1451.85i | 0.406379 | − | 1.50607i | ||||
\(965\) | 2372.17 | 2.45821 | ||||||||
\(966\) | −8.20090 | − | 10.7070i | −0.00848954 | − | 0.0110839i | ||||
\(967\) | − | 1147.66i | − | 1.18682i | −0.804899 | − | 0.593411i | \(-0.797781\pi\) | ||
0.804899 | − | 0.593411i | \(-0.202219\pi\) | |||||||
\(968\) | 257.695 | + | 626.782i | 0.266214 | + | 0.647502i | ||||
\(969\) | 777.750 | 0.802632 | ||||||||
\(970\) | −737.826 | + | 565.128i | −0.760646 | + | 0.582606i | ||||
\(971\) | 1108.64i | 1.14175i | 0.821036 | + | 0.570876i | \(0.193396\pi\) | ||||
−0.821036 | + | 0.570876i | \(0.806604\pi\) | |||||||
\(972\) | 19.0730 | + | 5.14640i | 0.0196224 | + | 0.00529465i | ||||
\(973\) | 354.754 | 0.364598 | ||||||||
\(974\) | 183.213 | + | 239.201i | 0.188104 | + | 0.245586i | ||||
\(975\) | 294.047i | 0.301586i | ||||||||
\(976\) | 220.558 | + | 128.372i | 0.225982 | + | 0.131528i | ||||
\(977\) | 779.026 | 0.797366 | 0.398683 | − | 0.917089i | \(-0.369467\pi\) | ||||
0.398683 | + | 0.917089i | \(0.369467\pi\) | |||||||
\(978\) | 217.180 | − | 166.346i | 0.222065 | − | 0.170088i | ||||
\(979\) | 1436.21i | 1.46702i | ||||||||
\(980\) | 49.6402 | − | 183.971i | 0.0506533 | − | 0.187725i | ||||
\(981\) | −8.98769 | −0.00916176 | ||||||||
\(982\) | −144.471 | − | 188.620i | −0.147119 | − | 0.192077i | ||||
\(983\) | 79.5940i | 0.0809705i | 0.999180 | + | 0.0404853i | \(0.0128904\pi\) | ||||
−0.999180 | + | 0.0404853i | \(0.987110\pi\) | |||||||
\(984\) | −809.364 | + | 332.761i | −0.822525 | + | 0.338172i | ||||
\(985\) | 183.277 | 0.186069 | ||||||||
\(986\) | −789.618 | + | 604.797i | −0.800830 | + | 0.613385i | ||||
\(987\) | − | 333.040i | − | 0.337427i | ||||||
\(988\) | −400.634 | − | 108.102i | −0.405500 | − | 0.109415i | ||||
\(989\) | 23.9013 | 0.0241671 | ||||||||
\(990\) | −10.8568 | − | 14.1746i | −0.0109665 | − | 0.0143177i | ||||
\(991\) | 644.244i | 0.650095i | 0.945698 | + | 0.325047i | \(0.105380\pi\) | ||||
−0.945698 | + | 0.325047i | \(0.894620\pi\) | |||||||
\(992\) | −6.25802 | − | 49.1979i | −0.00630849 | − | 0.0495947i | ||||
\(993\) | −357.057 | −0.359574 | ||||||||
\(994\) | −68.7195 | + | 52.6348i | −0.0691343 | + | 0.0529525i | ||||
\(995\) | − | 1575.85i | − | 1.58377i | ||||||
\(996\) | 44.4997 | − | 164.919i | 0.0446784 | − | 0.165581i | ||||
\(997\) | −1739.99 | −1.74523 | −0.872615 | − | 0.488409i | \(-0.837578\pi\) | ||||
−0.872615 | + | 0.488409i | \(0.837578\pi\) | |||||||
\(998\) | 664.533 | + | 867.608i | 0.665864 | + | 0.869346i | ||||
\(999\) | 1221.50i | 1.22273i |
(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 | 28.3.c.a.15.5 | ✓ | 6 | |
3.2 | odd | 2 | 252.3.g.a.127.2 | 6 | |||
4.3 | odd | 2 | inner | 28.3.c.a.15.6 | yes | 6 | |
7.2 | even | 3 | 196.3.g.k.67.1 | 12 | |||
7.3 | odd | 6 | 196.3.g.j.79.3 | 12 | |||
7.4 | even | 3 | 196.3.g.k.79.3 | 12 | |||
7.5 | odd | 6 | 196.3.g.j.67.1 | 12 | |||
7.6 | odd | 2 | 196.3.c.g.99.5 | 6 | |||
8.3 | odd | 2 | 448.3.d.d.127.5 | 6 | |||
8.5 | even | 2 | 448.3.d.d.127.2 | 6 | |||
12.11 | even | 2 | 252.3.g.a.127.1 | 6 | |||
16.3 | odd | 4 | 1792.3.g.g.127.10 | 12 | |||
16.5 | even | 4 | 1792.3.g.g.127.9 | 12 | |||
16.11 | odd | 4 | 1792.3.g.g.127.3 | 12 | |||
16.13 | even | 4 | 1792.3.g.g.127.4 | 12 | |||
28.3 | even | 6 | 196.3.g.j.79.1 | 12 | |||
28.11 | odd | 6 | 196.3.g.k.79.1 | 12 | |||
28.19 | even | 6 | 196.3.g.j.67.3 | 12 | |||
28.23 | odd | 6 | 196.3.g.k.67.3 | 12 | |||
28.27 | even | 2 | 196.3.c.g.99.6 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.c.a.15.5 | ✓ | 6 | 1.1 | even | 1 | trivial | |
28.3.c.a.15.6 | yes | 6 | 4.3 | odd | 2 | inner | |
196.3.c.g.99.5 | 6 | 7.6 | odd | 2 | |||
196.3.c.g.99.6 | 6 | 28.27 | even | 2 | |||
196.3.g.j.67.1 | 12 | 7.5 | odd | 6 | |||
196.3.g.j.67.3 | 12 | 28.19 | even | 6 | |||
196.3.g.j.79.1 | 12 | 28.3 | even | 6 | |||
196.3.g.j.79.3 | 12 | 7.3 | odd | 6 | |||
196.3.g.k.67.1 | 12 | 7.2 | even | 3 | |||
196.3.g.k.67.3 | 12 | 28.23 | odd | 6 | |||
196.3.g.k.79.1 | 12 | 28.11 | odd | 6 | |||
196.3.g.k.79.3 | 12 | 7.4 | even | 3 | |||
252.3.g.a.127.1 | 6 | 12.11 | even | 2 | |||
252.3.g.a.127.2 | 6 | 3.2 | odd | 2 | |||
448.3.d.d.127.2 | 6 | 8.5 | even | 2 | |||
448.3.d.d.127.5 | 6 | 8.3 | odd | 2 | |||
1792.3.g.g.127.3 | 12 | 16.11 | odd | 4 | |||
1792.3.g.g.127.4 | 12 | 16.13 | even | 4 | |||
1792.3.g.g.127.9 | 12 | 16.5 | even | 4 | |||
1792.3.g.g.127.10 | 12 | 16.3 | odd | 4 |