Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,3,Mod(3,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.f (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.03542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 38.15 |
Dual form | 38.3.f.a.33.1 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.483690 | + | 1.32893i | −0.241845 | + | 0.664463i | ||||
\(3\) | −5.23364 | + | 0.922832i | −1.74455 | + | 0.307611i | −0.952881 | − | 0.303344i | \(-0.901897\pi\) |
−0.791666 | + | 0.610954i | \(0.790786\pi\) | |||||||
\(4\) | −1.53209 | − | 1.28558i | −0.383022 | − | 0.321394i | ||||
\(5\) | −1.06384 | + | 0.892670i | −0.212769 | + | 0.178534i | −0.742943 | − | 0.669354i | \(-0.766571\pi\) |
0.530175 | + | 0.847888i | \(0.322126\pi\) | |||||||
\(6\) | 1.30508 | − | 7.40149i | 0.217514 | − | 1.23358i | ||||
\(7\) | −4.39759 | + | 7.61684i | −0.628227 | + | 1.08812i | 0.359681 | + | 0.933075i | \(0.382886\pi\) |
−0.987907 | + | 0.155045i | \(0.950448\pi\) | |||||||
\(8\) | 2.44949 | − | 1.41421i | 0.306186 | − | 0.176777i | ||||
\(9\) | 18.0821 | − | 6.58136i | 2.00913 | − | 0.731262i | ||||
\(10\) | −0.671723 | − | 1.84554i | −0.0671723 | − | 0.184554i | ||||
\(11\) | 6.05095 | + | 10.4805i | 0.550086 | + | 0.952777i | 0.998268 | + | 0.0588343i | \(0.0187384\pi\) |
−0.448182 | + | 0.893942i | \(0.647928\pi\) | |||||||
\(12\) | 9.20477 | + | 5.31438i | 0.767064 | + | 0.442865i | ||||
\(13\) | −16.6164 | − | 2.92993i | −1.27819 | − | 0.225379i | −0.506978 | − | 0.861959i | \(-0.669237\pi\) |
−0.771211 | + | 0.636580i | \(0.780348\pi\) | |||||||
\(14\) | −7.99516 | − | 9.52826i | −0.571083 | − | 0.680590i | ||||
\(15\) | 4.74399 | − | 5.65366i | 0.316266 | − | 0.376911i | ||||
\(16\) | 0.694593 | + | 3.93923i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 14.9401 | + | 5.43774i | 0.878827 | + | 0.319867i | 0.741736 | − | 0.670692i | \(-0.234003\pi\) |
0.137091 | + | 0.990558i | \(0.456225\pi\) | |||||||
\(18\) | 27.2132i | 1.51184i | ||||||||
\(19\) | −15.3555 | − | 11.1896i | −0.808186 | − | 0.588928i | ||||
\(20\) | 2.77750 | 0.138875 | ||||||||
\(21\) | 15.9863 | − | 43.9221i | 0.761253 | − | 2.09153i | ||||
\(22\) | −16.8546 | + | 2.97193i | −0.766120 | + | 0.135088i | ||||
\(23\) | −5.07035 | − | 4.25452i | −0.220450 | − | 0.184979i | 0.525874 | − | 0.850563i | \(-0.323738\pi\) |
−0.746324 | + | 0.665583i | \(0.768183\pi\) | |||||||
\(24\) | −11.5147 | + | 9.66195i | −0.479778 | + | 0.402581i | ||||
\(25\) | −4.00630 | + | 22.7209i | −0.160252 | + | 0.908835i | ||||
\(26\) | 11.9309 | − | 20.6649i | 0.458879 | − | 0.794802i | ||||
\(27\) | −47.1405 | + | 27.2166i | −1.74594 | + | 1.00802i | ||||
\(28\) | 16.5295 | − | 6.01625i | 0.590340 | − | 0.214866i | ||||
\(29\) | 6.87484 | + | 18.8885i | 0.237064 | + | 0.651327i | 0.999988 | + | 0.00483943i | \(0.00154044\pi\) |
−0.762925 | + | 0.646487i | \(0.776237\pi\) | |||||||
\(30\) | 5.21868 | + | 9.03902i | 0.173956 | + | 0.301301i | ||||
\(31\) | 11.7968 | + | 6.81091i | 0.380543 | + | 0.219707i | 0.678055 | − | 0.735012i | \(-0.262823\pi\) |
−0.297511 | + | 0.954718i | \(0.596157\pi\) | |||||||
\(32\) | −5.57091 | − | 0.982302i | −0.174091 | − | 0.0306970i | ||||
\(33\) | −41.3403 | − | 49.2674i | −1.25273 | − | 1.49295i | ||||
\(34\) | −14.4527 | + | 17.2241i | −0.425079 | + | 0.506590i | ||||
\(35\) | −2.12099 | − | 12.0287i | −0.0605996 | − | 0.343678i | ||||
\(36\) | −36.1643 | − | 13.1627i | −1.00456 | − | 0.365631i | ||||
\(37\) | 42.6785i | 1.15347i | 0.816930 | + | 0.576736i | \(0.195674\pi\) | ||||
−0.816930 | + | 0.576736i | \(0.804326\pi\) | |||||||
\(38\) | 22.2975 | − | 14.9941i | 0.586776 | − | 0.394580i | ||||
\(39\) | 89.6683 | 2.29919 | ||||||||
\(40\) | −1.34345 | + | 3.69109i | −0.0335861 | + | 0.0922772i | ||||
\(41\) | 24.5997 | − | 4.33758i | 0.599992 | − | 0.105795i | 0.134601 | − | 0.990900i | \(-0.457025\pi\) |
0.465391 | + | 0.885105i | \(0.345914\pi\) | |||||||
\(42\) | 50.6368 | + | 42.4893i | 1.20564 | + | 1.01165i | ||||
\(43\) | 30.1018 | − | 25.2584i | 0.700041 | − | 0.587404i | −0.221744 | − | 0.975105i | \(-0.571175\pi\) |
0.921785 | + | 0.387701i | \(0.126731\pi\) | |||||||
\(44\) | 4.20294 | − | 23.8361i | 0.0955214 | − | 0.541729i | ||||
\(45\) | −13.3616 | + | 23.1429i | −0.296924 | + | 0.514287i | ||||
\(46\) | 8.10642 | − | 4.68024i | 0.176227 | − | 0.101744i | ||||
\(47\) | 17.3132 | − | 6.30150i | 0.368367 | − | 0.134074i | −0.151203 | − | 0.988503i | \(-0.548315\pi\) |
0.519569 | + | 0.854428i | \(0.326092\pi\) | |||||||
\(48\) | −7.27050 | − | 19.9755i | −0.151469 | − | 0.416157i | ||||
\(49\) | −14.1775 | − | 24.5562i | −0.289338 | − | 0.501147i | ||||
\(50\) | −28.2566 | − | 16.3139i | −0.565131 | − | 0.326279i | ||||
\(51\) | −83.2090 | − | 14.6720i | −1.63155 | − | 0.287686i | ||||
\(52\) | 21.6912 | + | 25.8506i | 0.417139 | + | 0.497127i | ||||
\(53\) | 13.2993 | − | 15.8495i | 0.250930 | − | 0.299047i | −0.625845 | − | 0.779948i | \(-0.715246\pi\) |
0.876775 | + | 0.480900i | \(0.159690\pi\) | |||||||
\(54\) | −13.3674 | − | 75.8106i | −0.247545 | − | 1.40390i | ||||
\(55\) | −15.7929 | − | 5.74815i | −0.287144 | − | 0.104512i | ||||
\(56\) | 24.8765i | 0.444223i | ||||||||
\(57\) | 90.6915 | + | 44.3919i | 1.59108 | + | 0.778806i | ||||
\(58\) | −28.4267 | −0.490115 | ||||||||
\(59\) | −33.7515 | + | 92.7314i | −0.572059 | + | 1.57172i | 0.229186 | + | 0.973383i | \(0.426394\pi\) |
−0.801245 | + | 0.598337i | \(0.795829\pi\) | |||||||
\(60\) | −14.5364 | + | 2.56316i | −0.242274 | + | 0.0427194i | ||||
\(61\) | −72.1635 | − | 60.5524i | −1.18301 | − | 0.992662i | −0.999954 | − | 0.00955959i | \(-0.996957\pi\) |
−0.183055 | − | 0.983103i | \(-0.558599\pi\) | |||||||
\(62\) | −14.7572 | + | 12.3828i | −0.238019 | + | 0.199722i | ||||
\(63\) | −29.3886 | + | 166.671i | −0.466486 | + | 2.64557i | ||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 20.2927 | − | 11.7160i | 0.312196 | − | 0.180246i | ||||
\(66\) | 85.4686 | − | 31.1080i | 1.29498 | − | 0.471334i | ||||
\(67\) | −10.8546 | − | 29.8227i | −0.162009 | − | 0.445115i | 0.831953 | − | 0.554847i | \(-0.187223\pi\) |
−0.993961 | + | 0.109732i | \(0.965001\pi\) | |||||||
\(68\) | −15.8989 | − | 27.5377i | −0.233807 | − | 0.404966i | ||||
\(69\) | 30.4626 | + | 17.5876i | 0.441487 | + | 0.254892i | ||||
\(70\) | 17.0112 | + | 2.99953i | 0.243017 | + | 0.0428504i | ||||
\(71\) | −39.8932 | − | 47.5428i | −0.561876 | − | 0.669617i | 0.408067 | − | 0.912952i | \(-0.366203\pi\) |
−0.969942 | + | 0.243335i | \(0.921759\pi\) | |||||||
\(72\) | 34.9846 | − | 41.6930i | 0.485897 | − | 0.579069i | ||||
\(73\) | 14.4304 | + | 81.8388i | 0.197676 | + | 1.12108i | 0.908555 | + | 0.417764i | \(0.137186\pi\) |
−0.710879 | + | 0.703314i | \(0.751703\pi\) | |||||||
\(74\) | −56.7166 | − | 20.6431i | −0.766440 | − | 0.278961i | ||||
\(75\) | − | 122.610i | − | 1.63480i | ||||||
\(76\) | 9.14092 | + | 36.8842i | 0.120275 | + | 0.485318i | ||||
\(77\) | −106.438 | −1.38231 | ||||||||
\(78\) | −43.3716 | + | 119.163i | −0.556047 | + | 1.52773i | ||||
\(79\) | 42.4241 | − | 7.48052i | 0.537014 | − | 0.0946901i | 0.101438 | − | 0.994842i | \(-0.467656\pi\) |
0.435576 | + | 0.900152i | \(0.356545\pi\) | |||||||
\(80\) | −4.25537 | − | 3.57068i | −0.0531921 | − | 0.0446335i | ||||
\(81\) | 88.9337 | − | 74.6242i | 1.09795 | − | 0.921286i | ||||
\(82\) | −6.13427 | + | 34.7892i | −0.0748082 | + | 0.424258i | ||||
\(83\) | 10.9566 | − | 18.9774i | 0.132007 | − | 0.228643i | −0.792443 | − | 0.609946i | \(-0.791191\pi\) |
0.924450 | + | 0.381303i | \(0.124524\pi\) | |||||||
\(84\) | −80.9576 | + | 46.7409i | −0.963781 | + | 0.556439i | ||||
\(85\) | −20.7480 | + | 7.55165i | −0.244094 | + | 0.0888429i | ||||
\(86\) | 19.0066 | + | 52.2202i | 0.221007 | + | 0.607212i | ||||
\(87\) | −53.4113 | − | 92.5112i | −0.613924 | − | 1.06335i | ||||
\(88\) | 29.6435 | + | 17.1147i | 0.336857 | + | 0.194485i | ||||
\(89\) | −3.51200 | − | 0.619260i | −0.0394607 | − | 0.00695798i | 0.153883 | − | 0.988089i | \(-0.450822\pi\) |
−0.193344 | + | 0.981131i | \(0.561933\pi\) | |||||||
\(90\) | −24.2924 | − | 28.9505i | −0.269915 | − | 0.321673i | ||||
\(91\) | 95.3891 | − | 113.680i | 1.04823 | − | 1.24923i | ||||
\(92\) | 2.29871 | + | 13.0366i | 0.0249860 | + | 0.141702i | ||||
\(93\) | −68.0257 | − | 24.7593i | −0.731459 | − | 0.266229i | ||||
\(94\) | 26.0560i | 0.277191i | ||||||||
\(95\) | 26.3245 | − | 1.80341i | 0.277100 | − | 0.0189833i | ||||
\(96\) | 30.0627 | 0.313153 | ||||||||
\(97\) | 18.6693 | − | 51.2934i | 0.192467 | − | 0.528798i | −0.805496 | − | 0.592601i | \(-0.798101\pi\) |
0.997962 | + | 0.0638037i | \(0.0203232\pi\) | |||||||
\(98\) | 39.4909 | − | 6.96332i | 0.402969 | − | 0.0710543i | ||||
\(99\) | 178.390 | + | 149.687i | 1.80192 | + | 1.51199i | ||||
\(100\) | 35.3474 | − | 29.6600i | 0.353474 | − | 0.296600i | ||||
\(101\) | −19.8517 | + | 112.585i | −0.196552 | + | 1.11470i | 0.713640 | + | 0.700513i | \(0.247045\pi\) |
−0.910192 | + | 0.414188i | \(0.864066\pi\) | |||||||
\(102\) | 59.7453 | − | 103.482i | 0.585739 | − | 1.01453i | ||||
\(103\) | 38.5436 | − | 22.2532i | 0.374210 | − | 0.216050i | −0.301086 | − | 0.953597i | \(-0.597349\pi\) |
0.675296 | + | 0.737547i | \(0.264016\pi\) | |||||||
\(104\) | −44.8454 | + | 16.3224i | −0.431205 | + | 0.156946i | ||||
\(105\) | 22.2010 | + | 60.9967i | 0.211438 | + | 0.580921i | ||||
\(106\) | 14.6301 | + | 25.3400i | 0.138020 | + | 0.239057i | ||||
\(107\) | 123.253 | + | 71.1602i | 1.15190 | + | 0.665049i | 0.949349 | − | 0.314223i | \(-0.101744\pi\) |
0.202549 | + | 0.979272i | \(0.435077\pi\) | |||||||
\(108\) | 107.212 | + | 18.9044i | 0.992707 | + | 0.175041i | ||||
\(109\) | 20.2737 | + | 24.1613i | 0.185997 | + | 0.221663i | 0.850983 | − | 0.525193i | \(-0.176007\pi\) |
−0.664986 | + | 0.746856i | \(0.731562\pi\) | |||||||
\(110\) | 15.2777 | − | 18.2073i | 0.138889 | − | 0.165521i | ||||
\(111\) | −39.3851 | − | 223.364i | −0.354821 | − | 2.01229i | ||||
\(112\) | −33.0590 | − | 12.0325i | −0.295170 | − | 0.107433i | ||||
\(113\) | 17.6532i | 0.156223i | 0.996945 | + | 0.0781113i | \(0.0248890\pi\) | ||||
−0.996945 | + | 0.0781113i | \(0.975111\pi\) | |||||||
\(114\) | −102.860 | + | 99.0503i | −0.902281 | + | 0.868863i | ||||
\(115\) | 9.19194 | 0.0799299 | ||||||||
\(116\) | 13.7497 | − | 37.7770i | 0.118532 | − | 0.325663i | ||||
\(117\) | −319.744 | + | 56.3795i | −2.73285 | + | 0.481876i | ||||
\(118\) | −106.908 | − | 89.7065i | −0.906000 | − | 0.760224i | ||||
\(119\) | −107.119 | + | 89.8832i | −0.900157 | + | 0.755321i | ||||
\(120\) | 3.62486 | − | 20.5576i | 0.0302072 | − | 0.171313i | ||||
\(121\) | −12.7279 | + | 22.0453i | −0.105189 | + | 0.182193i | ||||
\(122\) | 115.374 | − | 66.6114i | 0.945692 | − | 0.545995i | ||||
\(123\) | −124.743 | + | 45.4027i | −1.01417 | + | 0.369128i | ||||
\(124\) | −9.31787 | − | 25.6006i | −0.0751441 | − | 0.206457i | ||||
\(125\) | −33.3795 | − | 57.8150i | −0.267036 | − | 0.462520i | ||||
\(126\) | −207.278 | − | 119.672i | −1.64507 | − | 0.949780i | ||||
\(127\) | −30.3701 | − | 5.35507i | −0.239135 | − | 0.0421659i | 0.0527962 | − | 0.998605i | \(-0.483187\pi\) |
−0.291931 | + | 0.956439i | \(0.594298\pi\) | |||||||
\(128\) | 7.27231 | + | 8.66680i | 0.0568149 | + | 0.0677094i | ||||
\(129\) | −134.233 | + | 159.972i | −1.04056 | + | 1.24009i | ||||
\(130\) | 5.75434 | + | 32.6345i | 0.0442641 | + | 0.251034i | ||||
\(131\) | 190.626 | + | 69.3824i | 1.45516 | + | 0.529636i | 0.944028 | − | 0.329864i | \(-0.107003\pi\) |
0.511135 | + | 0.859500i | \(0.329225\pi\) | |||||||
\(132\) | 128.628i | 0.974455i | ||||||||
\(133\) | 152.757 | − | 67.7533i | 1.14855 | − | 0.509423i | ||||
\(134\) | 44.8824 | 0.334943 | ||||||||
\(135\) | 25.8546 | − | 71.0350i | 0.191516 | − | 0.526185i | ||||
\(136\) | 44.2857 | − | 7.80876i | 0.325630 | − | 0.0574173i | ||||
\(137\) | −7.06246 | − | 5.92611i | −0.0515508 | − | 0.0432563i | 0.616648 | − | 0.787239i | \(-0.288490\pi\) |
−0.668199 | + | 0.743983i | \(0.732935\pi\) | |||||||
\(138\) | −38.1070 | + | 31.9756i | −0.276138 | + | 0.231707i | ||||
\(139\) | 23.8850 | − | 135.459i | 0.171835 | − | 0.974523i | −0.769900 | − | 0.638165i | \(-0.779694\pi\) |
0.941734 | − | 0.336358i | \(-0.109195\pi\) | |||||||
\(140\) | −12.2143 | + | 21.1558i | −0.0872449 | + | 0.151113i | ||||
\(141\) | −84.7960 | + | 48.9570i | −0.601390 | + | 0.347213i | ||||
\(142\) | 82.4768 | − | 30.0191i | 0.580822 | − | 0.211402i | ||||
\(143\) | −69.8380 | − | 191.878i | −0.488377 | − | 1.34181i | ||||
\(144\) | 38.4852 | + | 66.6584i | 0.267259 | + | 0.462905i | ||||
\(145\) | −24.1749 | − | 13.9574i | −0.166724 | − | 0.0962579i | ||||
\(146\) | −115.737 | − | 20.4076i | −0.792722 | − | 0.139778i | ||||
\(147\) | 96.8614 | + | 115.435i | 0.658921 | + | 0.785272i | ||||
\(148\) | 54.8664 | − | 65.3872i | 0.370719 | − | 0.441806i | ||||
\(149\) | 9.55879 | + | 54.2106i | 0.0641530 | + | 0.363830i | 0.999937 | + | 0.0112550i | \(0.00358264\pi\) |
−0.935784 | + | 0.352575i | \(0.885306\pi\) | |||||||
\(150\) | 162.940 | + | 59.3052i | 1.08626 | + | 0.395368i | ||||
\(151\) | 150.117i | 0.994150i | 0.867708 | + | 0.497075i | \(0.165593\pi\) | ||||
−0.867708 | + | 0.497075i | \(0.834407\pi\) | |||||||
\(152\) | −53.4377 | − | 5.69289i | −0.351564 | − | 0.0374532i | ||||
\(153\) | 305.936 | 1.99958 | ||||||||
\(154\) | 51.4831 | − | 141.449i | 0.334306 | − | 0.918497i | ||||
\(155\) | −18.6299 | + | 3.28495i | −0.120193 | + | 0.0211932i | ||||
\(156\) | −137.380 | − | 115.275i | −0.880640 | − | 0.738945i | ||||
\(157\) | −22.3853 | + | 18.7835i | −0.142582 | + | 0.119640i | −0.711289 | − | 0.702900i | \(-0.751888\pi\) |
0.568707 | + | 0.822540i | \(0.307444\pi\) | |||||||
\(158\) | −10.5791 | + | 59.9968i | −0.0669560 | + | 0.379726i | ||||
\(159\) | −54.9774 | + | 95.2236i | −0.345770 | + | 0.598891i | ||||
\(160\) | 6.80345 | − | 3.92797i | 0.0425216 | − | 0.0245498i | ||||
\(161\) | 54.7033 | − | 19.9104i | 0.339772 | − | 0.123667i | ||||
\(162\) | 56.1538 | + | 154.281i | 0.346628 | + | 0.952353i | ||||
\(163\) | 5.40139 | + | 9.35548i | 0.0331374 | + | 0.0573956i | 0.882118 | − | 0.471028i | \(-0.156117\pi\) |
−0.848981 | + | 0.528423i | \(0.822783\pi\) | |||||||
\(164\) | −43.2652 | − | 24.9792i | −0.263812 | − | 0.152312i | ||||
\(165\) | 87.9591 | + | 15.5096i | 0.533085 | + | 0.0939973i | ||||
\(166\) | 19.9200 | + | 23.7397i | 0.120000 | + | 0.143010i | ||||
\(167\) | −183.419 | + | 218.591i | −1.09832 | + | 1.30893i | −0.151036 | + | 0.988528i | \(0.548261\pi\) |
−0.947283 | + | 0.320398i | \(0.896183\pi\) | |||||||
\(168\) | −22.9568 | − | 130.195i | −0.136648 | − | 0.774969i | ||||
\(169\) | 108.714 | + | 39.5686i | 0.643276 | + | 0.234133i | ||||
\(170\) | − | 31.2252i | − | 0.183678i | ||||||
\(171\) | −351.304 | − | 101.272i | −2.05441 | − | 0.592235i | ||||
\(172\) | −78.5901 | −0.456919 | ||||||||
\(173\) | 51.8267 | − | 142.393i | 0.299577 | − | 0.823080i | −0.694994 | − | 0.719016i | \(-0.744593\pi\) |
0.994571 | − | 0.104064i | \(-0.0331848\pi\) | |||||||
\(174\) | 148.775 | − | 26.2330i | 0.855029 | − | 0.150765i | ||||
\(175\) | −155.443 | − | 130.432i | −0.888247 | − | 0.745328i | ||||
\(176\) | −37.0823 | + | 31.1158i | −0.210695 | + | 0.176794i | ||||
\(177\) | 91.0676 | − | 516.470i | 0.514506 | − | 2.91791i | ||||
\(178\) | 2.52167 | − | 4.36766i | 0.0141667 | − | 0.0245374i | ||||
\(179\) | 245.794 | − | 141.909i | 1.37315 | − | 0.792788i | 0.381826 | − | 0.924234i | \(-0.375295\pi\) |
0.991323 | + | 0.131446i | \(0.0419620\pi\) | |||||||
\(180\) | 50.2231 | − | 18.2797i | 0.279017 | − | 0.101554i | ||||
\(181\) | 119.504 | + | 328.334i | 0.660242 | + | 1.81400i | 0.575831 | + | 0.817569i | \(0.304678\pi\) |
0.0844105 | + | 0.996431i | \(0.473099\pi\) | |||||||
\(182\) | 104.934 | + | 181.751i | 0.576560 | + | 0.998632i | ||||
\(183\) | 433.558 | + | 250.315i | 2.36917 | + | 1.36784i | ||||
\(184\) | −18.4366 | − | 3.25086i | −0.100199 | − | 0.0176677i | ||||
\(185\) | −38.0978 | − | 45.4032i | −0.205934 | − | 0.245423i | ||||
\(186\) | 65.8067 | − | 78.4253i | 0.353799 | − | 0.421642i | ||||
\(187\) | 33.4110 | + | 189.483i | 0.178669 | + | 1.01328i | ||||
\(188\) | −34.6265 | − | 12.6030i | −0.184183 | − | 0.0670372i | ||||
\(189\) | − | 478.749i | − | 2.53306i | ||||||
\(190\) | −10.3363 | + | 35.8556i | −0.0544015 | + | 0.188714i | ||||
\(191\) | −284.702 | −1.49058 | −0.745292 | − | 0.666738i | \(-0.767690\pi\) | ||||
−0.745292 | + | 0.666738i | \(0.767690\pi\) | |||||||
\(192\) | −14.5410 | + | 39.9511i | −0.0757343 | + | 0.208078i | ||||
\(193\) | −206.920 | + | 36.4855i | −1.07212 | + | 0.189044i | −0.681729 | − | 0.731604i | \(-0.738772\pi\) |
−0.390393 | + | 0.920648i | \(0.627661\pi\) | |||||||
\(194\) | 59.1350 | + | 49.6201i | 0.304819 | + | 0.255774i | ||||
\(195\) | −95.3930 | + | 80.0442i | −0.489195 | + | 0.410483i | ||||
\(196\) | −9.84762 | + | 55.8486i | −0.0502430 | + | 0.284942i | ||||
\(197\) | 109.694 | − | 189.995i | 0.556822 | − | 0.964444i | −0.440937 | − | 0.897538i | \(-0.645354\pi\) |
0.997759 | − | 0.0669060i | \(-0.0213128\pi\) | |||||||
\(198\) | −285.209 | + | 164.665i | −1.44045 | + | 0.831643i | ||||
\(199\) | −101.187 | + | 36.8290i | −0.508477 | + | 0.185071i | −0.583503 | − | 0.812111i | \(-0.698318\pi\) |
0.0750258 | + | 0.997182i | \(0.476096\pi\) | |||||||
\(200\) | 22.3188 | + | 61.3203i | 0.111594 | + | 0.306602i | ||||
\(201\) | 84.3303 | + | 146.064i | 0.419554 | + | 0.726688i | ||||
\(202\) | −140.015 | − | 80.8375i | −0.693142 | − | 0.400186i | ||||
\(203\) | −174.103 | − | 30.6991i | −0.857652 | − | 0.151227i | ||||
\(204\) | 108.622 | + | 129.450i | 0.532459 | + | 0.634560i | ||||
\(205\) | −22.2981 | + | 26.5739i | −0.108771 | + | 0.129629i | ||||
\(206\) | 10.9297 | + | 61.9853i | 0.0530567 | + | 0.300899i | ||||
\(207\) | −119.683 | − | 43.5611i | −0.578180 | − | 0.210440i | ||||
\(208\) | − | 67.4911i | − | 0.324477i | ||||||
\(209\) | 24.3579 | − | 228.642i | 0.116545 | − | 1.09398i | ||||
\(210\) | −91.7985 | −0.437135 | ||||||||
\(211\) | −22.6688 | + | 62.2819i | −0.107435 | + | 0.295175i | −0.981748 | − | 0.190188i | \(-0.939090\pi\) |
0.874313 | + | 0.485363i | \(0.161312\pi\) | |||||||
\(212\) | −40.7514 | + | 7.18558i | −0.192224 | + | 0.0338942i | ||||
\(213\) | 252.661 | + | 212.007i | 1.18620 | + | 0.995340i | ||||
\(214\) | −154.183 | + | 129.375i | −0.720481 | + | 0.604555i | ||||
\(215\) | −9.47614 | + | 53.7419i | −0.0440751 | + | 0.249962i | ||||
\(216\) | −76.9801 | + | 133.333i | −0.356389 | + | 0.617284i | ||||
\(217\) | −103.755 | + | 59.9031i | −0.478135 | + | 0.276051i | ||||
\(218\) | −41.9147 | + | 15.2557i | −0.192269 | + | 0.0699803i | ||||
\(219\) | −151.047 | − | 414.998i | −0.689712 | − | 1.89497i | ||||
\(220\) | 16.8065 | + | 29.1097i | 0.0763931 | + | 0.132317i | ||||
\(221\) | −232.319 | − | 134.129i | −1.05122 | − | 0.606919i | ||||
\(222\) | 315.884 | + | 55.6989i | 1.42290 | + | 0.250896i | ||||
\(223\) | −77.4222 | − | 92.2682i | −0.347185 | − | 0.413759i | 0.563988 | − | 0.825783i | \(-0.309266\pi\) |
−0.911173 | + | 0.412024i | \(0.864822\pi\) | |||||||
\(224\) | 31.9806 | − | 38.1130i | 0.142771 | − | 0.170147i | ||||
\(225\) | 77.0917 | + | 437.209i | 0.342630 | + | 1.94315i | ||||
\(226\) | −23.4597 | − | 8.53865i | −0.103804 | − | 0.0377816i | ||||
\(227\) | 209.919i | 0.924754i | 0.886684 | + | 0.462377i | \(0.153003\pi\) | ||||
−0.886684 | + | 0.462377i | \(0.846997\pi\) | |||||||
\(228\) | −81.8782 | − | 184.603i | −0.359115 | − | 0.809663i | ||||
\(229\) | −328.702 | −1.43538 | −0.717691 | − | 0.696362i | \(-0.754801\pi\) | ||||
−0.717691 | + | 0.696362i | \(0.754801\pi\) | |||||||
\(230\) | −4.44604 | + | 12.2154i | −0.0193306 | + | 0.0531105i | ||||
\(231\) | 557.059 | − | 98.2246i | 2.41151 | − | 0.425215i | ||||
\(232\) | 43.5522 | + | 36.5446i | 0.187725 | + | 0.157520i | ||||
\(233\) | 202.214 | − | 169.677i | 0.867869 | − | 0.728229i | −0.0957789 | − | 0.995403i | \(-0.530534\pi\) |
0.963648 | + | 0.267174i | \(0.0860897\pi\) | |||||||
\(234\) | 79.7326 | − | 452.186i | 0.340738 | − | 1.93242i | ||||
\(235\) | −12.7934 | + | 22.1588i | −0.0544400 | + | 0.0942928i | ||||
\(236\) | 170.924 | − | 98.6827i | 0.724252 | − | 0.418147i | ||||
\(237\) | −215.129 | + | 78.3007i | −0.907719 | + | 0.330383i | ||||
\(238\) | −67.6360 | − | 185.828i | −0.284185 | − | 0.780791i | ||||
\(239\) | 173.905 | + | 301.212i | 0.727636 | + | 1.26030i | 0.957880 | + | 0.287169i | \(0.0927142\pi\) |
−0.230244 | + | 0.973133i | \(0.573952\pi\) | |||||||
\(240\) | 25.5662 | + | 14.7607i | 0.106526 | + | 0.0615028i | ||||
\(241\) | 216.962 | + | 38.2563i | 0.900258 | + | 0.158740i | 0.604577 | − | 0.796547i | \(-0.293342\pi\) |
0.295681 | + | 0.955287i | \(0.404453\pi\) | |||||||
\(242\) | −23.1403 | − | 27.5775i | −0.0956209 | − | 0.113957i | ||||
\(243\) | −81.6808 | + | 97.3434i | −0.336135 | + | 0.400590i | ||||
\(244\) | 32.7163 | + | 185.543i | 0.134083 | + | 0.760423i | ||||
\(245\) | 37.0033 | + | 13.4681i | 0.151034 | + | 0.0549718i | ||||
\(246\) | − | 187.735i | − | 0.763150i | ||||||
\(247\) | 222.369 | + | 230.922i | 0.900281 | + | 0.934909i | ||||
\(248\) | 38.5283 | 0.155356 | ||||||||
\(249\) | −39.8300 | + | 109.432i | −0.159960 | + | 0.439486i | ||||
\(250\) | 92.9772 | − | 16.3944i | 0.371909 | − | 0.0655776i | ||||
\(251\) | −88.0561 | − | 73.8878i | −0.350821 | − | 0.294374i | 0.450299 | − | 0.892878i | \(-0.351318\pi\) |
−0.801120 | + | 0.598504i | \(0.795762\pi\) | |||||||
\(252\) | 259.294 | − | 217.573i | 1.02894 | − | 0.863387i | ||||
\(253\) | 13.9094 | − | 78.8839i | 0.0549777 | − | 0.311794i | ||||
\(254\) | 21.8062 | − | 37.7695i | 0.0858512 | − | 0.148699i | ||||
\(255\) | 101.619 | − | 58.6695i | 0.398504 | − | 0.230077i | ||||
\(256\) | −15.0351 | + | 5.47232i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −74.4601 | − | 204.577i | −0.289728 | − | 0.796021i | −0.996104 | − | 0.0881845i | \(-0.971893\pi\) |
0.706376 | − | 0.707837i | \(-0.250329\pi\) | |||||||
\(258\) | −147.664 | − | 255.762i | −0.572342 | − | 0.991325i | ||||
\(259\) | −325.075 | − | 187.682i | −1.25512 | − | 0.724642i | ||||
\(260\) | −46.1521 | − | 8.13786i | −0.177508 | − | 0.0312995i | ||||
\(261\) | 248.624 | + | 296.298i | 0.952581 | + | 1.13524i | ||||
\(262\) | −184.408 | + | 219.769i | −0.703847 | + | 0.838813i | ||||
\(263\) | −53.6309 | − | 304.156i | −0.203920 | − | 1.15649i | −0.899131 | − | 0.437680i | \(-0.855800\pi\) |
0.695211 | − | 0.718806i | \(-0.255311\pi\) | |||||||
\(264\) | −170.937 | − | 62.2160i | −0.647489 | − | 0.235667i | ||||
\(265\) | 28.7333i | 0.108427i | ||||||||
\(266\) | 16.1522 | + | 235.774i | 0.0607225 | + | 0.886369i | ||||
\(267\) | 18.9520 | 0.0709813 | ||||||||
\(268\) | −21.7092 | + | 59.6454i | −0.0810043 | + | 0.222557i | ||||
\(269\) | 375.385 | − | 66.1905i | 1.39548 | − | 0.246061i | 0.575197 | − | 0.818015i | \(-0.304925\pi\) |
0.820286 | + | 0.571954i | \(0.193814\pi\) | |||||||
\(270\) | 81.8947 | + | 68.7178i | 0.303314 | + | 0.254510i | ||||
\(271\) | 99.7480 | − | 83.6985i | 0.368074 | − | 0.308851i | −0.439925 | − | 0.898034i | \(-0.644995\pi\) |
0.807999 | + | 0.589184i | \(0.200551\pi\) | |||||||
\(272\) | −11.0432 | + | 62.6294i | −0.0406002 | + | 0.230255i | ||||
\(273\) | −394.324 | + | 682.990i | −1.44441 | + | 2.50179i | ||||
\(274\) | 11.2914 | − | 6.51909i | 0.0412095 | − | 0.0237923i | ||||
\(275\) | −262.369 | + | 95.4945i | −0.954069 | + | 0.347253i | ||||
\(276\) | −24.0612 | − | 66.1077i | −0.0871783 | − | 0.239521i | ||||
\(277\) | −203.421 | − | 352.335i | −0.734370 | − | 1.27197i | −0.954999 | − | 0.296609i | \(-0.904144\pi\) |
0.220629 | − | 0.975358i | \(-0.429189\pi\) | |||||||
\(278\) | 168.462 | + | 97.2613i | 0.605977 | + | 0.349861i | ||||
\(279\) | 258.137 | + | 45.5165i | 0.925223 | + | 0.163142i | ||||
\(280\) | −22.2065 | − | 26.4647i | −0.0793090 | − | 0.0945168i | ||||
\(281\) | 264.929 | − | 315.730i | 0.942807 | − | 1.12359i | −0.0493729 | − | 0.998780i | \(-0.515722\pi\) |
0.992180 | − | 0.124814i | \(-0.0398333\pi\) | |||||||
\(282\) | −24.0453 | − | 136.368i | −0.0852670 | − | 0.483573i | ||||
\(283\) | 322.592 | + | 117.414i | 1.13990 | + | 0.414890i | 0.841877 | − | 0.539669i | \(-0.181451\pi\) |
0.298023 | + | 0.954559i | \(0.403673\pi\) | |||||||
\(284\) | 124.125i | 0.437062i | ||||||||
\(285\) | −136.109 | + | 33.7315i | −0.477575 | + | 0.118356i | ||||
\(286\) | 288.772 | 1.00969 | ||||||||
\(287\) | −75.1405 | + | 206.447i | −0.261813 | + | 0.719327i | ||||
\(288\) | −107.199 | + | 18.9021i | −0.372219 | + | 0.0656322i | ||||
\(289\) | −27.7504 | − | 23.2853i | −0.0960221 | − | 0.0805721i | ||||
\(290\) | 30.2415 | − | 25.3756i | 0.104281 | − | 0.0875022i | ||||
\(291\) | −50.3730 | + | 285.680i | −0.173103 | + | 0.981717i | ||||
\(292\) | 83.1012 | − | 143.936i | 0.284593 | − | 0.492930i | ||||
\(293\) | 89.0414 | − | 51.4081i | 0.303896 | − | 0.175454i | −0.340296 | − | 0.940318i | \(-0.610527\pi\) |
0.644192 | + | 0.764864i | \(0.277194\pi\) | |||||||
\(294\) | −200.255 | + | 72.8870i | −0.681141 | + | 0.247915i | ||||
\(295\) | −46.8723 | − | 128.781i | −0.158889 | − | 0.436544i | ||||
\(296\) | 60.3565 | + | 104.541i | 0.203907 | + | 0.353177i | ||||
\(297\) | −570.489 | − | 329.372i | −1.92084 | − | 1.10900i | ||||
\(298\) | −76.6654 | − | 13.5182i | −0.257266 | − | 0.0453630i | ||||
\(299\) | 71.7857 | + | 85.5508i | 0.240086 | + | 0.286123i | ||||
\(300\) | −157.624 | + | 187.849i | −0.525415 | + | 0.626165i | ||||
\(301\) | 60.0140 | + | 340.356i | 0.199382 | + | 1.13075i | ||||
\(302\) | −199.494 | − | 72.6098i | −0.660576 | − | 0.240430i | ||||
\(303\) | − | 607.548i | − | 2.00511i | ||||||
\(304\) | 33.4127 | − | 68.2612i | 0.109910 | − | 0.224543i | ||||
\(305\) | 130.824 | 0.428931 | ||||||||
\(306\) | −147.978 | + | 406.566i | −0.483588 | + | 1.32865i | ||||
\(307\) | 482.848 | − | 85.1392i | 1.57280 | − | 0.277326i | 0.681869 | − | 0.731474i | \(-0.261167\pi\) |
0.890926 | + | 0.454148i | \(0.150056\pi\) | |||||||
\(308\) | 163.073 | + | 136.834i | 0.529457 | + | 0.444267i | ||||
\(309\) | −181.188 | + | 152.034i | −0.586368 | + | 0.492021i | ||||
\(310\) | 4.64562 | − | 26.3466i | 0.0149859 | − | 0.0849891i | ||||
\(311\) | −51.0404 | + | 88.4046i | −0.164117 | + | 0.284259i | −0.936341 | − | 0.351091i | \(-0.885811\pi\) |
0.772224 | + | 0.635350i | \(0.219144\pi\) | |||||||
\(312\) | 219.642 | − | 126.810i | 0.703980 | − | 0.406443i | ||||
\(313\) | −163.671 | + | 59.5714i | −0.522911 | + | 0.190324i | −0.589970 | − | 0.807425i | \(-0.700861\pi\) |
0.0670592 | + | 0.997749i | \(0.478638\pi\) | |||||||
\(314\) | −14.1344 | − | 38.8339i | −0.0450139 | − | 0.123675i | ||||
\(315\) | −117.517 | − | 203.546i | −0.373071 | − | 0.646178i | ||||
\(316\) | −74.6143 | − | 43.0786i | −0.236121 | − | 0.136325i | ||||
\(317\) | 310.871 | + | 54.8149i | 0.980666 | + | 0.172918i | 0.640927 | − | 0.767602i | \(-0.278550\pi\) |
0.339739 | + | 0.940520i | \(0.389661\pi\) | |||||||
\(318\) | −99.9532 | − | 119.120i | −0.314318 | − | 0.374590i | ||||
\(319\) | −156.362 | + | 186.345i | −0.490164 | + | 0.584154i | ||||
\(320\) | 1.92923 | + | 10.9412i | 0.00602884 | + | 0.0341912i | ||||
\(321\) | −710.732 | − | 258.685i | −2.21412 | − | 0.805873i | ||||
\(322\) | 82.3271i | 0.255674i | ||||||||
\(323\) | −168.566 | − | 250.673i | −0.521877 | − | 0.776078i | ||||
\(324\) | −232.189 | −0.716634 | ||||||||
\(325\) | 133.141 | − | 365.802i | 0.409665 | − | 1.12554i | ||||
\(326\) | −15.0453 | + | 2.65290i | −0.0461513 | + | 0.00813773i | ||||
\(327\) | −128.402 | − | 107.742i | −0.392667 | − | 0.329487i | ||||
\(328\) | 54.1224 | − | 45.4140i | 0.165007 | − | 0.138457i | ||||
\(329\) | −28.1389 | + | 159.584i | −0.0855285 | + | 0.485056i | ||||
\(330\) | −63.1559 | + | 109.389i | −0.191382 | + | 0.331483i | ||||
\(331\) | −419.076 | + | 241.953i | −1.26609 | + | 0.730977i | −0.974246 | − | 0.225489i | \(-0.927602\pi\) |
−0.291844 | + | 0.956466i | \(0.594269\pi\) | |||||||
\(332\) | −41.1834 | + | 14.9895i | −0.124046 | + | 0.0451492i | ||||
\(333\) | 280.883 | + | 771.719i | 0.843491 | + | 2.31747i | ||||
\(334\) | −201.773 | − | 349.481i | −0.604110 | − | 1.04635i | ||||
\(335\) | 38.1694 | + | 22.0371i | 0.113938 | + | 0.0657824i | ||||
\(336\) | 184.123 | + | 32.4659i | 0.547985 | + | 0.0966246i | ||||
\(337\) | −149.781 | − | 178.502i | −0.444453 | − | 0.529679i | 0.496581 | − | 0.867990i | \(-0.334589\pi\) |
−0.941034 | + | 0.338312i | \(0.890144\pi\) | |||||||
\(338\) | −105.167 | + | 125.334i | −0.311146 | + | 0.370809i | ||||
\(339\) | −16.2909 | − | 92.3903i | −0.0480558 | − | 0.272538i | ||||
\(340\) | 41.4960 | + | 15.1033i | 0.122047 | + | 0.0444215i | ||||
\(341\) | 164.850i | 0.483430i | ||||||||
\(342\) | 304.505 | − | 417.872i | 0.890366 | − | 1.22185i | ||||
\(343\) | −181.576 | −0.529375 | ||||||||
\(344\) | 38.0132 | − | 104.440i | 0.110504 | − | 0.303606i | ||||
\(345\) | −48.1073 | + | 8.48261i | −0.139441 | + | 0.0245873i | ||||
\(346\) | 164.161 | + | 137.748i | 0.474455 | + | 0.398115i | ||||
\(347\) | −138.706 | + | 116.388i | −0.399730 | + | 0.335413i | −0.820389 | − | 0.571805i | \(-0.806243\pi\) |
0.420659 | + | 0.907219i | \(0.361799\pi\) | |||||||
\(348\) | −37.0991 | + | 210.400i | −0.106607 | + | 0.604597i | ||||
\(349\) | 238.811 | − | 413.632i | 0.684271 | − | 1.18519i | −0.289395 | − | 0.957210i | \(-0.593454\pi\) |
0.973665 | − | 0.227982i | \(-0.0732127\pi\) | |||||||
\(350\) | 248.521 | − | 143.484i | 0.710061 | − | 0.409954i | ||||
\(351\) | 863.049 | − | 314.124i | 2.45883 | − | 0.894941i | ||||
\(352\) | −23.4142 | − | 64.3301i | −0.0665177 | − | 0.182756i | ||||
\(353\) | 112.439 | + | 194.751i | 0.318525 | + | 0.551701i | 0.980180 | − | 0.198107i | \(-0.0634792\pi\) |
−0.661656 | + | 0.749808i | \(0.730146\pi\) | |||||||
\(354\) | 642.302 | + | 370.833i | 1.81441 | + | 1.04755i | ||||
\(355\) | 84.8801 | + | 14.9667i | 0.239099 | + | 0.0421596i | ||||
\(356\) | 4.58459 | + | 5.46370i | 0.0128781 | + | 0.0153475i | ||||
\(357\) | 477.673 | − | 569.269i | 1.33802 | − | 1.59459i | ||||
\(358\) | 69.6988 | + | 395.282i | 0.194689 | + | 1.10414i | ||||
\(359\) | 219.445 | + | 79.8714i | 0.611267 | + | 0.222483i | 0.629058 | − | 0.777359i | \(-0.283441\pi\) |
−0.0177904 | + | 0.999842i | \(0.505663\pi\) | |||||||
\(360\) | 75.5845i | 0.209957i | ||||||||
\(361\) | 110.584 | + | 343.645i | 0.306328 | + | 0.951926i | ||||
\(362\) | −494.134 | −1.36501 | ||||||||
\(363\) | 46.2690 | − | 127.123i | 0.127463 | − | 0.350201i | ||||
\(364\) | −292.289 | + | 51.5384i | −0.802992 | + | 0.141589i | ||||
\(365\) | −88.4067 | − | 74.1820i | −0.242210 | − | 0.203238i | ||||
\(366\) | −542.357 | + | 455.092i | −1.48185 | + | 1.24342i | ||||
\(367\) | 37.9658 | − | 215.315i | 0.103449 | − | 0.586689i | −0.888379 | − | 0.459110i | \(-0.848168\pi\) |
0.991828 | − | 0.127579i | \(-0.0407206\pi\) | |||||||
\(368\) | 13.2377 | − | 22.9284i | 0.0359721 | − | 0.0623055i | ||||
\(369\) | 416.267 | − | 240.332i | 1.12810 | − | 0.651306i | ||||
\(370\) | 78.7650 | − | 28.6681i | 0.212878 | − | 0.0774814i | ||||
\(371\) | 62.2383 | + | 170.998i | 0.167758 | + | 0.460912i | ||||
\(372\) | 72.3915 | + | 125.386i | 0.194601 | + | 0.337058i | ||||
\(373\) | 420.325 | + | 242.675i | 1.12688 | + | 0.650602i | 0.943147 | − | 0.332375i | \(-0.107850\pi\) |
0.183729 | + | 0.982977i | \(0.441183\pi\) | |||||||
\(374\) | −267.970 | − | 47.2503i | −0.716497 | − | 0.126338i | ||||
\(375\) | 228.050 | + | 271.779i | 0.608133 | + | 0.724745i | ||||
\(376\) | 33.4969 | − | 39.9201i | 0.0890875 | − | 0.106170i | ||||
\(377\) | −58.8936 | − | 334.002i | −0.156216 | − | 0.885947i | ||||
\(378\) | 636.222 | + | 231.566i | 1.68313 | + | 0.612608i | ||||
\(379\) | 41.9601i | 0.110713i | 0.998467 | + | 0.0553563i | \(0.0176295\pi\) | ||||
−0.998467 | + | 0.0553563i | \(0.982371\pi\) | |||||||
\(380\) | −42.6499 | − | 31.0791i | −0.112237 | − | 0.0817872i | ||||
\(381\) | 163.888 | 0.430153 | ||||||||
\(382\) | 137.707 | − | 378.347i | 0.360490 | − | 0.990438i | ||||
\(383\) | −556.885 | + | 98.1939i | −1.45401 | + | 0.256381i | −0.844141 | − | 0.536122i | \(-0.819889\pi\) |
−0.609868 | + | 0.792503i | \(0.708778\pi\) | |||||||
\(384\) | −46.0587 | − | 38.6478i | −0.119944 | − | 0.100645i | ||||
\(385\) | 113.234 | − | 95.0142i | 0.294113 | − | 0.246790i | ||||
\(386\) | 51.5983 | − | 292.628i | 0.133674 | − | 0.758105i | ||||
\(387\) | 378.070 | − | 654.836i | 0.976924 | − | 1.69208i | ||||
\(388\) | −94.5445 | + | 54.5853i | −0.243671 | + | 0.140684i | ||||
\(389\) | −317.858 | + | 115.691i | −0.817115 | + | 0.297406i | −0.716560 | − | 0.697526i | \(-0.754284\pi\) |
−0.100555 | + | 0.994931i | \(0.532062\pi\) | |||||||
\(390\) | −60.2323 | − | 165.487i | −0.154442 | − | 0.424325i | ||||
\(391\) | −52.6163 | − | 91.1341i | −0.134568 | − | 0.233079i | ||||
\(392\) | −69.4555 | − | 40.1001i | −0.177182 | − | 0.102296i | ||||
\(393\) | −1061.70 | − | 187.206i | −2.70152 | − | 0.476351i | ||||
\(394\) | 199.432 | + | 237.674i | 0.506173 | + | 0.603233i | ||||
\(395\) | −38.4550 | + | 45.8288i | −0.0973543 | + | 0.116022i | ||||
\(396\) | −80.8756 | − | 458.668i | −0.204231 | − | 1.15825i | ||||
\(397\) | 179.499 | + | 65.3324i | 0.452139 | + | 0.164565i | 0.558044 | − | 0.829811i | \(-0.311552\pi\) |
−0.105905 | + | 0.994376i | \(0.533774\pi\) | |||||||
\(398\) | − | 152.284i | − | 0.382623i | ||||||
\(399\) | −736.950 | + | 495.565i | −1.84699 | + | 1.24202i | ||||
\(400\) | −92.2855 | −0.230714 | ||||||||
\(401\) | −213.013 | + | 585.248i | −0.531204 | + | 1.45947i | 0.326435 | + | 0.945220i | \(0.394153\pi\) |
−0.857639 | + | 0.514252i | \(0.828070\pi\) | |||||||
\(402\) | −234.898 | + | 41.4189i | −0.584324 | + | 0.103032i | ||||
\(403\) | −176.066 | − | 147.737i | −0.436888 | − | 0.366593i | ||||
\(404\) | 175.151 | − | 146.969i | 0.433541 | − | 0.363785i | ||||
\(405\) | −27.9966 | + | 158.777i | −0.0691275 | + | 0.392042i | ||||
\(406\) | 125.009 | − | 216.522i | 0.307903 | − | 0.533304i | ||||
\(407\) | −447.294 | + | 258.245i | −1.09900 | + | 0.634509i | ||||
\(408\) | −224.569 | + | 81.7364i | −0.550414 | + | 0.200334i | ||||
\(409\) | 57.1735 | + | 157.083i | 0.139788 | + | 0.384066i | 0.989756 | − | 0.142769i | \(-0.0456007\pi\) |
−0.849967 | + | 0.526835i | \(0.823379\pi\) | |||||||
\(410\) | −24.5294 | − | 42.4861i | −0.0598277 | − | 0.103625i | ||||
\(411\) | 42.4312 | + | 24.4976i | 0.103239 | + | 0.0596050i | ||||
\(412\) | −87.6604 | − | 15.4569i | −0.212768 | − | 0.0375167i | ||||
\(413\) | −557.896 | − | 664.874i | −1.35084 | − | 1.60987i | ||||
\(414\) | 115.779 | − | 137.980i | 0.279660 | − | 0.333285i | ||||
\(415\) | 5.28445 | + | 29.9696i | 0.0127336 | + | 0.0722159i | ||||
\(416\) | 89.6907 | + | 32.6447i | 0.215603 | + | 0.0784730i | ||||
\(417\) | 730.984i | 1.75296i | ||||||||
\(418\) | 292.067 | + | 142.962i | 0.698724 | + | 0.342014i | ||||
\(419\) | 742.034 | 1.77096 | 0.885482 | − | 0.464674i | \(-0.153828\pi\) | ||||
0.885482 | + | 0.464674i | \(0.153828\pi\) | |||||||
\(420\) | 44.4019 | − | 121.993i | 0.105719 | − | 0.290460i | ||||
\(421\) | −683.636 | + | 120.543i | −1.62384 | + | 0.286326i | −0.910194 | − | 0.414182i | \(-0.864068\pi\) |
−0.713644 | + | 0.700509i | \(0.752956\pi\) | |||||||
\(422\) | −71.8034 | − | 60.2502i | −0.170150 | − | 0.142773i | ||||
\(423\) | 271.588 | − | 227.889i | 0.642052 | − | 0.538745i | ||||
\(424\) | 10.1619 | − | 57.6312i | 0.0239668 | − | 0.135923i | ||||
\(425\) | −183.405 | + | 317.666i | −0.431540 | + | 0.747449i | ||||
\(426\) | −403.951 | + | 233.221i | −0.948243 | + | 0.547468i | ||||
\(427\) | 778.564 | − | 283.374i | 1.82333 | − | 0.663639i | ||||
\(428\) | −97.3529 | − | 267.475i | −0.227460 | − | 0.624942i | ||||
\(429\) | 542.578 | + | 939.773i | 1.26475 | + | 2.19061i | ||||
\(430\) | −66.8355 | − | 38.5875i | −0.155431 | − | 0.0897383i | ||||
\(431\) | 320.537 | + | 56.5194i | 0.743706 | + | 0.131135i | 0.532647 | − | 0.846338i | \(-0.321198\pi\) |
0.211059 | + | 0.977473i | \(0.432309\pi\) | |||||||
\(432\) | −139.956 | − | 166.793i | −0.323972 | − | 0.386094i | ||||
\(433\) | −143.875 | + | 171.463i | −0.332274 | + | 0.395988i | −0.906152 | − | 0.422952i | \(-0.860994\pi\) |
0.573878 | + | 0.818941i | \(0.305438\pi\) | |||||||
\(434\) | −29.4215 | − | 166.858i | −0.0677914 | − | 0.384464i | ||||
\(435\) | 139.403 | + | 50.7386i | 0.320467 | + | 0.116641i | ||||
\(436\) | − | 63.0806i | − | 0.144680i | ||||||
\(437\) | 30.2513 | + | 122.066i | 0.0692249 | + | 0.279327i | ||||
\(438\) | 624.561 | 1.42594 | ||||||||
\(439\) | 71.4645 | − | 196.347i | 0.162789 | − | 0.447260i | −0.831300 | − | 0.555824i | \(-0.812403\pi\) |
0.994089 | + | 0.108564i | \(0.0346252\pi\) | |||||||
\(440\) | −46.8137 | + | 8.25452i | −0.106395 | + | 0.0187603i | ||||
\(441\) | −417.974 | − | 350.722i | −0.947786 | − | 0.795287i | ||||
\(442\) | 290.618 | − | 243.857i | 0.657506 | − | 0.551713i | ||||
\(443\) | −37.2506 | + | 211.259i | −0.0840871 | + | 0.476882i | 0.913463 | + | 0.406922i | \(0.133398\pi\) |
−0.997550 | + | 0.0699594i | \(0.977713\pi\) | |||||||
\(444\) | −226.810 | + | 392.846i | −0.510833 | + | 0.884788i | ||||
\(445\) | 4.28901 | − | 2.47626i | 0.00963823 | − | 0.00556463i | ||||
\(446\) | 160.066 | − | 58.2592i | 0.358892 | − | 0.130626i | ||||
\(447\) | −100.055 | − | 274.898i | −0.223836 | − | 0.614984i | ||||
\(448\) | 35.1807 | + | 60.9348i | 0.0785283 | + | 0.136015i | ||||
\(449\) | −269.395 | − | 155.535i | −0.599988 | − | 0.346403i | 0.169049 | − | 0.985608i | \(-0.445930\pi\) |
−0.769037 | + | 0.639204i | \(0.779264\pi\) | |||||||
\(450\) | −618.307 | − | 109.024i | −1.37402 | − | 0.242276i | ||||
\(451\) | 194.311 | + | 231.571i | 0.430846 | + | 0.513462i | ||||
\(452\) | 22.6945 | − | 27.0462i | 0.0502090 | − | 0.0598368i | ||||
\(453\) | −138.532 | − | 785.656i | −0.305811 | − | 1.73434i | ||||
\(454\) | −278.967 | − | 101.536i | −0.614465 | − | 0.223647i | ||||
\(455\) | 206.089i | 0.452943i | ||||||||
\(456\) | 284.927 | − | 19.5195i | 0.624841 | − | 0.0428060i | ||||
\(457\) | 233.317 | 0.510539 | 0.255270 | − | 0.966870i | \(-0.417836\pi\) | ||||
0.255270 | + | 0.966870i | \(0.417836\pi\) | |||||||
\(458\) | 158.990 | − | 436.821i | 0.347139 | − | 0.953758i | ||||
\(459\) | −852.278 | + | 150.280i | −1.85681 | + | 0.327407i | ||||
\(460\) | −14.0829 | − | 11.8169i | −0.0306149 | − | 0.0256890i | ||||
\(461\) | −526.135 | + | 441.480i | −1.14129 | + | 0.957657i | −0.999480 | − | 0.0322370i | \(-0.989737\pi\) |
−0.141811 | + | 0.989894i | \(0.545292\pi\) | |||||||
\(462\) | −138.911 | + | 787.801i | −0.300672 | + | 1.70520i | ||||
\(463\) | 37.9653 | − | 65.7578i | 0.0819985 | − | 0.142026i | −0.822110 | − | 0.569329i | \(-0.807203\pi\) |
0.904108 | + | 0.427303i | \(0.140536\pi\) | |||||||
\(464\) | −69.6309 | + | 40.2014i | −0.150066 | + | 0.0866409i | ||||
\(465\) | 94.4706 | − | 34.3845i | 0.203163 | − | 0.0739451i | ||||
\(466\) | 127.680 | + | 350.798i | 0.273992 | + | 0.752786i | ||||
\(467\) | 110.689 | + | 191.718i | 0.237021 | + | 0.410532i | 0.959858 | − | 0.280486i | \(-0.0904957\pi\) |
−0.722837 | + | 0.691018i | \(0.757162\pi\) | |||||||
\(468\) | 562.356 | + | 324.676i | 1.20162 | + | 0.693753i | ||||
\(469\) | 274.889 | + | 48.4703i | 0.586117 | + | 0.103348i | ||||
\(470\) | −23.2594 | − | 27.7195i | −0.0494881 | − | 0.0589776i | ||||
\(471\) | 99.8228 | − | 118.964i | 0.211938 | − | 0.252578i | ||||
\(472\) | 48.4682 | + | 274.877i | 0.102687 | + | 0.582366i | ||||
\(473\) | 446.866 | + | 162.646i | 0.944747 | + | 0.343860i | ||||
\(474\) | − | 323.764i | − | 0.683047i | ||||||
\(475\) | 315.757 | − | 304.062i | 0.664752 | − | 0.640130i | ||||
\(476\) | 279.667 | 0.587535 | ||||||||
\(477\) | 136.169 | − | 374.120i | 0.285469 | − | 0.784320i | ||||
\(478\) | −484.405 | + | 85.4136i | −1.01340 | + | 0.178690i | ||||
\(479\) | 311.400 | + | 261.296i | 0.650105 | + | 0.545503i | 0.907103 | − | 0.420909i | \(-0.138289\pi\) |
−0.256998 | + | 0.966412i | \(0.582733\pi\) | |||||||
\(480\) | −31.9819 | + | 26.8360i | −0.0666291 | + | 0.0559084i | ||||
\(481\) | 125.045 | − | 709.165i | 0.259969 | − | 1.47436i | ||||
\(482\) | −155.782 | + | 269.823i | −0.323199 | + | 0.559798i | ||||
\(483\) | −267.924 | + | 154.686i | −0.554707 | + | 0.320260i | ||||
\(484\) | 47.8411 | − | 17.4128i | 0.0988454 | − | 0.0359768i | ||||
\(485\) | 25.9269 | + | 71.2336i | 0.0534575 | + | 0.146873i | ||||
\(486\) | −89.8540 | − | 155.632i | −0.184885 | − | 0.320230i | ||||
\(487\) | −411.136 | − | 237.369i | −0.844221 | − | 0.487411i | 0.0144757 | − | 0.999895i | \(-0.495392\pi\) |
−0.858697 | + | 0.512484i | \(0.828725\pi\) | |||||||
\(488\) | −262.398 | − | 46.2678i | −0.537701 | − | 0.0948111i | ||||
\(489\) | −36.9025 | − | 43.9786i | −0.0754652 | − | 0.0899359i | ||||
\(490\) | −35.7962 | + | 42.6603i | −0.0730535 | + | 0.0870617i | ||||
\(491\) | −113.851 | − | 645.682i | −0.231876 | − | 1.31503i | −0.849094 | − | 0.528242i | \(-0.822851\pi\) |
0.617218 | − | 0.786792i | \(-0.288260\pi\) | |||||||
\(492\) | 249.486 | + | 90.8054i | 0.507085 | + | 0.184564i | ||||
\(493\) | 319.579i | 0.648232i | ||||||||
\(494\) | −414.437 | + | 183.818i | −0.838941 | + | 0.372101i | ||||
\(495\) | −323.401 | −0.653334 | ||||||||
\(496\) | −18.6357 | + | 51.2013i | −0.0375721 | + | 0.103228i | ||||
\(497\) | 537.560 | − | 94.7863i | 1.08161 | − | 0.190717i | ||||
\(498\) | −126.162 | − | 105.862i | −0.253337 | − | 0.212575i | ||||
\(499\) | 579.297 | − | 486.088i | 1.16092 | − | 0.974124i | 0.160999 | − | 0.986955i | \(-0.448529\pi\) |
0.999918 | + | 0.0128303i | \(0.00408412\pi\) | |||||||
\(500\) | −23.1852 | + | 131.490i | −0.0463703 | + | 0.262979i | ||||
\(501\) | 758.228 | − | 1313.29i | 1.51343 | − | 2.62134i | ||||
\(502\) | 140.783 | − | 81.2812i | 0.280445 | − | 0.161915i | ||||
\(503\) | −22.6508 | + | 8.24420i | −0.0450313 | + | 0.0163901i | −0.364438 | − | 0.931228i | \(-0.618739\pi\) |
0.319406 | + | 0.947618i | \(0.396517\pi\) | |||||||
\(504\) | 163.721 | + | 449.821i | 0.324844 | + | 0.892501i | ||||
\(505\) | −79.3819 | − | 137.494i | −0.157192 | − | 0.272264i | ||||
\(506\) | 98.1030 | + | 56.6398i | 0.193879 | + | 0.111936i | ||||
\(507\) | −605.484 | − | 106.763i | −1.19425 | − | 0.210578i | ||||
\(508\) | 39.6454 | + | 47.2475i | 0.0780421 | + | 0.0930069i | ||||
\(509\) | 251.606 | − | 299.853i | 0.494315 | − | 0.589102i | −0.459994 | − | 0.887922i | \(-0.652149\pi\) |
0.954310 | + | 0.298820i | \(0.0965930\pi\) | |||||||
\(510\) | 28.8156 | + | 163.421i | 0.0565012 | + | 0.320434i | ||||
\(511\) | −686.812 | − | 249.979i | −1.34405 | − | 0.489196i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 1028.41 | + | 109.560i | 2.00470 | + | 0.213567i | ||||
\(514\) | 307.884 | 0.598996 | ||||||||
\(515\) | −21.1396 | + | 58.0806i | −0.0410478 | + | 0.112778i | ||||
\(516\) | 411.312 | − | 72.5255i | 0.797117 | − | 0.140553i | ||||
\(517\) | 170.805 | + | 143.322i | 0.330376 | + | 0.277219i | ||||
\(518\) | 406.652 | − | 341.221i | 0.785042 | − | 0.658728i | ||||
\(519\) | −139.838 | + | 793.060i | −0.269437 | + | 1.52805i | ||||
\(520\) | 33.1379 | − | 57.3965i | 0.0637268 | − | 0.110378i | ||||
\(521\) | 500.919 | − | 289.206i | 0.961457 | − | 0.555097i | 0.0648356 | − | 0.997896i | \(-0.479348\pi\) |
0.896621 | + | 0.442799i | \(0.146014\pi\) | |||||||
\(522\) | −514.015 | + | 187.086i | −0.984703 | + | 0.358403i | ||||
\(523\) | 219.937 | + | 604.273i | 0.420530 | + | 1.15540i | 0.951404 | + | 0.307947i | \(0.0996418\pi\) |
−0.530873 | + | 0.847451i | \(0.678136\pi\) | |||||||
\(524\) | −202.860 | − | 351.365i | −0.387138 | − | 0.670543i | ||||
\(525\) | 933.901 | + | 539.188i | 1.77886 | + | 1.02703i | ||||
\(526\) | 430.141 | + | 75.8455i | 0.817759 | + | 0.144193i | ||||
\(527\) | 139.210 | + | 165.903i | 0.264155 | + | 0.314807i | ||||
\(528\) | 165.361 | − | 197.070i | 0.313184 | − | 0.373238i | ||||
\(529\) | −84.2525 | − | 477.819i | −0.159267 | − | 0.903250i | ||||
\(530\) | −38.1844 | − | 13.8980i | −0.0720460 | − | 0.0262226i | ||||
\(531\) | 1898.91i | 3.57611i | ||||||||
\(532\) | −321.139 | − | 92.5764i | −0.603645 | − | 0.174016i | ||||
\(533\) | −421.468 | −0.790746 | ||||||||
\(534\) | −9.16689 | + | 25.1858i | −0.0171665 | + | 0.0471645i | ||||
\(535\) | −194.645 | + | 34.3211i | −0.363822 | + | 0.0641516i | ||||
\(536\) | −68.7638 | − | 57.6997i | −0.128291 | − | 0.107649i | ||||
\(537\) | −1155.44 | + | 969.528i | −2.15165 | + | 1.80545i | ||||
\(538\) | −93.6075 | + | 530.874i | −0.173992 | + | 0.986755i | ||||
\(539\) | 171.575 | − | 297.177i | 0.318321 | − | 0.551348i | ||||
\(540\) | −130.932 | + | 75.5939i | −0.242468 | + | 0.139989i | ||||
\(541\) | 255.907 | − | 93.1425i | 0.473026 | − | 0.172167i | −0.0944968 | − | 0.995525i | \(-0.530124\pi\) |
0.567522 | + | 0.823358i | \(0.307902\pi\) | |||||||
\(542\) | 62.9821 | + | 173.042i | 0.116203 | + | 0.319265i | ||||
\(543\) | −928.437 | − | 1608.10i | −1.70983 | − | 2.96151i | ||||
\(544\) | −77.8883 | − | 44.9688i | −0.143177 | − | 0.0826633i | ||||
\(545\) | −43.1361 | − | 7.60606i | −0.0791488 | − | 0.0139561i | ||||
\(546\) | −716.912 | − | 854.383i | −1.31303 | − | 1.56480i | ||||
\(547\) | −250.243 | + | 298.228i | −0.457483 | + | 0.545207i | −0.944640 | − | 0.328107i | \(-0.893589\pi\) |
0.487158 | + | 0.873314i | \(0.338034\pi\) | |||||||
\(548\) | 3.20186 | + | 18.1586i | 0.00584281 | + | 0.0331362i | ||||
\(549\) | −1703.39 | − | 619.983i | −3.10271 | − | 1.12929i | ||||
\(550\) | − | 394.859i | − | 0.717925i | ||||||
\(551\) | 105.788 | − | 366.969i | 0.191993 | − | 0.666006i | ||||
\(552\) | 99.4904 | 0.180236 | ||||||||
\(553\) | −129.586 | + | 356.034i | −0.234332 | + | 0.643823i | ||||
\(554\) | 566.619 | − | 99.9102i | 1.02278 | − | 0.180343i | ||||
\(555\) | 241.290 | + | 202.466i | 0.434756 | + | 0.364804i | ||||
\(556\) | −210.736 | + | 176.829i | −0.379022 | + | 0.318037i | ||||
\(557\) | −143.518 | + | 813.932i | −0.257663 | + | 1.46128i | 0.531481 | + | 0.847070i | \(0.321636\pi\) |
−0.789144 | + | 0.614208i | \(0.789476\pi\) | |||||||
\(558\) | −185.346 | + | 321.029i | −0.332162 | + | 0.575321i | ||||
\(559\) | −574.189 | + | 331.508i | −1.02717 | + | 0.593038i | ||||
\(560\) | 45.9107 | − | 16.7101i | 0.0819834 | − | 0.0298395i | ||||
\(561\) | −349.723 | − | 960.855i | −0.623392 | − | 1.71275i | ||||
\(562\) | 291.438 | + | 504.786i | 0.518574 | + | 0.898196i | ||||
\(563\) | 238.760 | + | 137.848i | 0.424084 | + | 0.244845i | 0.696823 | − | 0.717243i | \(-0.254596\pi\) |
−0.272739 | + | 0.962088i | \(0.587930\pi\) | |||||||
\(564\) | 192.853 | + | 34.0052i | 0.341938 | + | 0.0602929i | ||||
\(565\) | −15.7585 | − | 18.7802i | −0.0278911 | − | 0.0332393i | ||||
\(566\) | −312.069 | + | 371.909i | −0.551358 | + | 0.657083i | ||||
\(567\) | 177.307 | + | 1005.56i | 0.312711 | + | 1.77347i | ||||
\(568\) | −164.954 | − | 60.0382i | −0.290411 | − | 0.105701i | ||||
\(569\) | − | 1054.92i | − | 1.85398i | −0.375083 | − | 0.926991i | \(-0.622386\pi\) | ||
0.375083 | − | 0.926991i | \(-0.377614\pi\) | |||||||
\(570\) | 21.0077 | − | 197.194i | 0.0368556 | − | 0.345955i | ||||
\(571\) | −1024.27 | −1.79381 | −0.896905 | − | 0.442223i | \(-0.854190\pi\) | ||||
−0.896905 | + | 0.442223i | \(0.854190\pi\) | |||||||
\(572\) | −139.676 | + | 383.756i | −0.244189 | + | 0.670903i | ||||
\(573\) | 1490.03 | − | 262.732i | 2.60039 | − | 0.458520i | ||||
\(574\) | −238.008 | − | 199.712i | −0.414648 | − | 0.347931i | ||||
\(575\) | 116.980 | − | 98.1577i | 0.203443 | − | 0.170709i | ||||
\(576\) | 26.7316 | − | 151.602i | 0.0464090 | − | 0.263198i | ||||
\(577\) | −512.692 | + | 888.008i | −0.888547 | + | 1.53901i | −0.0469539 | + | 0.998897i | \(0.514951\pi\) |
−0.841593 | + | 0.540112i | \(0.818382\pi\) | |||||||
\(578\) | 44.3671 | − | 25.6153i | 0.0767596 | − | 0.0443172i | ||||
\(579\) | 1049.27 | − | 381.904i | 1.81222 | − | 0.659592i | ||||
\(580\) | 19.0948 | + | 52.4627i | 0.0329222 | + | 0.0904529i | ||||
\(581\) | 96.3653 | + | 166.910i | 0.165861 | + | 0.287280i | ||||
\(582\) | −355.282 | − | 205.122i | −0.610451 | − | 0.352444i | ||||
\(583\) | 246.585 | + | 43.4795i | 0.422958 | + | 0.0745790i | ||||
\(584\) | 151.085 | + | 180.056i | 0.258706 | + | 0.308314i | ||||
\(585\) | 289.829 | − | 345.405i | 0.495434 | − | 0.590435i | ||||
\(586\) | 25.2492 | + | 143.195i | 0.0430873 | + | 0.244360i | ||||
\(587\) | −37.4352 | − | 13.6253i | −0.0637738 | − | 0.0232118i | 0.309936 | − | 0.950757i | \(-0.399692\pi\) |
−0.373710 | + | 0.927546i | \(0.621914\pi\) | |||||||
\(588\) | − | 301.379i | − | 0.512550i | ||||||
\(589\) | −104.935 | − | 236.587i | −0.178158 | − | 0.401676i | ||||
\(590\) | 193.812 | 0.328494 | ||||||||
\(591\) | −398.765 | + | 1095.60i | −0.674729 | + | 1.85380i | ||||
\(592\) | −168.120 | + | 29.6442i | −0.283987 | + | 0.0500746i | ||||
\(593\) | 513.934 | + | 431.242i | 0.866668 | + | 0.727221i | 0.963394 | − | 0.268090i | \(-0.0863926\pi\) |
−0.0967260 | + | 0.995311i | \(0.530837\pi\) | |||||||
\(594\) | 713.650 | − | 598.824i | 1.20143 | − | 1.00812i | ||||
\(595\) | 33.7213 | − | 191.243i | 0.0566745 | − | 0.321417i | ||||
\(596\) | 55.0469 | − | 95.3440i | 0.0923606 | − | 0.159973i | ||||
\(597\) | 495.589 | − | 286.128i | 0.830132 | − | 0.479277i | ||||
\(598\) | −148.413 | + | 54.0178i | −0.248182 | + | 0.0903308i | ||||
\(599\) | −128.363 | − | 352.675i | −0.214296 | − | 0.588774i | 0.785241 | − | 0.619190i | \(-0.212539\pi\) |
−0.999537 | + | 0.0304163i | \(0.990317\pi\) | |||||||
\(600\) | −173.397 | − | 300.332i | −0.288995 | − | 0.500553i | ||||
\(601\) | −617.904 | − | 356.747i | −1.02813 | − | 0.593589i | −0.111679 | − | 0.993744i | \(-0.535623\pi\) |
−0.916447 | + | 0.400155i | \(0.868956\pi\) | |||||||
\(602\) | −481.336 | − | 84.8726i | −0.799562 | − | 0.140984i | ||||
\(603\) | −392.548 | − | 467.820i | −0.650992 | − | 0.775822i | ||||
\(604\) | 192.986 | − | 229.992i | 0.319514 | − | 0.380781i | ||||
\(605\) | −6.13874 | − | 34.8145i | −0.0101467 | − | 0.0575447i | ||||
\(606\) | 807.386 | + | 293.865i | 1.33232 | + | 0.484925i | ||||
\(607\) | 185.218i | 0.305136i | 0.988293 | + | 0.152568i | \(0.0487544\pi\) | ||||
−0.988293 | + | 0.152568i | \(0.951246\pi\) | |||||||
\(608\) | 74.5527 | + | 77.4202i | 0.122620 | + | 0.127336i | ||||
\(609\) | 939.524 | 1.54273 | ||||||||
\(610\) | −63.2782 | + | 173.855i | −0.103735 | + | 0.285009i | ||||
\(611\) | −306.147 | + | 53.9820i | −0.501059 | + | 0.0883503i | ||||
\(612\) | −468.721 | − | 393.304i | −0.765884 | − | 0.642653i | ||||
\(613\) | 436.254 | − | 366.061i | 0.711670 | − | 0.597162i | −0.213397 | − | 0.976966i | \(-0.568453\pi\) |
0.925067 | + | 0.379803i | \(0.124008\pi\) | |||||||
\(614\) | −120.405 | + | 682.851i | −0.196099 | + | 1.11213i | ||||
\(615\) | 92.1772 | − | 159.656i | 0.149882 | − | 0.259603i | ||||
\(616\) | −260.719 | + | 150.526i | −0.423246 | + | 0.244361i | ||||
\(617\) | 270.110 | − | 98.3119i | 0.437779 | − | 0.159338i | −0.113722 | − | 0.993513i | \(-0.536277\pi\) |
0.551501 | + | 0.834174i | \(0.314055\pi\) | |||||||
\(618\) | −114.404 | − | 314.322i | −0.185120 | − | 0.508612i | ||||
\(619\) | −383.209 | − | 663.737i | −0.619077 | − | 1.07227i | −0.989654 | − | 0.143472i | \(-0.954173\pi\) |
0.370577 | − | 0.928802i | \(-0.379160\pi\) | |||||||
\(620\) | 32.7657 | + | 18.9173i | 0.0528479 | + | 0.0305117i | ||||
\(621\) | 354.812 | + | 62.5629i | 0.571356 | + | 0.100745i | ||||
\(622\) | −92.7955 | − | 110.589i | −0.149189 | − | 0.177796i | ||||
\(623\) | 20.1611 | − | 24.0271i | 0.0323614 | − | 0.0385668i | ||||
\(624\) | 62.2830 | + | 353.224i | 0.0998125 | + | 0.566065i | ||||
\(625\) | −454.880 | − | 165.563i | −0.727808 | − | 0.264900i | ||||
\(626\) | − | 246.321i | − | 0.393484i | ||||||
\(627\) | 83.5175 | + | 1219.11i | 0.133202 | + | 1.94435i | ||||
\(628\) | 58.4440 | 0.0930636 | ||||||||
\(629\) | −232.074 | + | 637.619i | −0.368958 | + | 1.01370i | ||||
\(630\) | 327.340 | − | 57.7188i | 0.519587 | − | 0.0916171i | ||||
\(631\) | 539.716 | + | 452.876i | 0.855335 | + | 0.717711i | 0.960958 | − | 0.276695i | \(-0.0892392\pi\) |
−0.105623 | + | 0.994406i | \(0.533684\pi\) | |||||||
\(632\) | 93.3384 | − | 78.3202i | 0.147687 | − | 0.123924i | ||||
\(633\) | 61.1644 | − | 346.881i | 0.0966262 | − | 0.547995i | ||||
\(634\) | −223.210 | + | 386.611i | −0.352066 | + | 0.609797i | ||||
\(635\) | 37.0893 | − | 21.4135i | 0.0584084 | − | 0.0337221i | ||||
\(636\) | 206.647 | − | 75.2135i | 0.324917 | − | 0.118260i | ||||
\(637\) | 163.632 | + | 449.576i | 0.256880 | + | 0.705771i | ||||
\(638\) | −172.008 | − | 297.927i | −0.269605 | − | 0.466970i | ||||
\(639\) | −1034.25 | − | 597.125i | −1.61855 | − | 0.934467i | ||||
\(640\) | −15.4732 | − | 2.72834i | −0.0241769 | − | 0.00426303i | ||||
\(641\) | 75.6767 | + | 90.1880i | 0.118060 | + | 0.140699i | 0.821838 | − | 0.569722i | \(-0.192949\pi\) |
−0.703777 | + | 0.710421i | \(0.748505\pi\) | |||||||
\(642\) | 687.547 | − | 819.386i | 1.07095 | − | 1.27630i | ||||
\(643\) | 142.923 | + | 810.557i | 0.222275 | + | 1.26059i | 0.867826 | + | 0.496868i | \(0.165517\pi\) |
−0.645551 | + | 0.763717i | \(0.723372\pi\) | |||||||
\(644\) | −109.407 | − | 39.8208i | −0.169886 | − | 0.0618335i | ||||
\(645\) | − | 290.011i | − | 0.449629i | ||||||
\(646\) | 414.660 | − | 102.764i | 0.641888 | − | 0.159078i | ||||
\(647\) | 266.671 | 0.412165 | 0.206082 | − | 0.978535i | \(-0.433928\pi\) | ||||
0.206082 | + | 0.978535i | \(0.433928\pi\) | |||||||
\(648\) | 112.308 | − | 308.562i | 0.173314 | − | 0.476177i | ||||
\(649\) | −1176.10 | + | 207.379i | −1.81218 | + | 0.319536i | ||||
\(650\) | 421.725 | + | 353.869i | 0.648807 | + | 0.544414i | ||||
\(651\) | 487.737 | − | 409.260i | 0.749212 | − | 0.628664i | ||||
\(652\) | 3.75177 | − | 21.2773i | 0.00575424 | − | 0.0326339i | ||||
\(653\) | −536.805 | + | 929.773i | −0.822060 | + | 1.42385i | 0.0820863 | + | 0.996625i | \(0.473842\pi\) |
−0.904146 | + | 0.427224i | \(0.859492\pi\) | |||||||
\(654\) | 205.288 | − | 118.523i | 0.313896 | − | 0.181228i | ||||
\(655\) | −264.732 | + | 96.3546i | −0.404171 | + | 0.147106i | ||||
\(656\) | 34.1735 | + | 93.8909i | 0.0520937 | + | 0.143126i | ||||
\(657\) | 799.543 | + | 1384.85i | 1.21696 | + | 2.10784i | ||||
\(658\) | −198.464 | − | 114.583i | −0.301617 | − | 0.174139i | ||||
\(659\) | 36.9672 | + | 6.51832i | 0.0560959 | + | 0.00989122i | 0.201626 | − | 0.979463i | \(-0.435378\pi\) |
−0.145530 | + | 0.989354i | \(0.546489\pi\) | |||||||
\(660\) | −114.822 | − | 136.840i | −0.173973 | − | 0.207333i | ||||
\(661\) | 155.880 | − | 185.770i | 0.235824 | − | 0.281044i | −0.635133 | − | 0.772402i | \(-0.719055\pi\) |
0.870958 | + | 0.491358i | \(0.163499\pi\) | |||||||
\(662\) | −118.836 | − | 673.951i | −0.179510 | − | 1.01805i | ||||
\(663\) | 1339.65 | + | 487.593i | 2.02059 | + | 0.735434i | ||||
\(664\) | − | 61.9799i | − | 0.0933433i | ||||||
\(665\) | −102.028 | + | 208.440i | −0.153426 | + | 0.313444i | ||||
\(666\) | −1161.42 | −1.74387 | ||||||||
\(667\) | 45.5037 | − | 125.020i | 0.0682214 | − | 0.187437i | ||||
\(668\) | 562.029 | − | 99.1010i | 0.841361 | − | 0.148355i | ||||
\(669\) | 490.348 | + | 411.451i | 0.732957 | + | 0.615024i | ||||
\(670\) | −47.7478 | + | 40.0652i | −0.0712654 | + | 0.0597988i | ||||
\(671\) | 197.964 | − | 1122.71i | 0.295029 | − | 1.67319i | ||||
\(672\) | −132.203 | + | 228.983i | −0.196731 | + | 0.340748i | ||||
\(673\) | −290.134 | + | 167.509i | −0.431106 | + | 0.248899i | −0.699818 | − | 0.714322i | \(-0.746735\pi\) |
0.268712 | + | 0.963221i | \(0.413402\pi\) | |||||||
\(674\) | 309.663 | − | 112.708i | 0.459441 | − | 0.167223i | ||||
\(675\) | −429.525 | − | 1180.11i | −0.636333 | − | 1.74831i | ||||
\(676\) | −115.691 | − | 200.382i | −0.171140 | − | 0.296423i | ||||
\(677\) | 493.750 | + | 285.067i | 0.729321 | + | 0.421074i | 0.818174 | − | 0.574971i | \(-0.194987\pi\) |
−0.0888527 | + | 0.996045i | \(0.528320\pi\) | |||||||
\(678\) | 130.660 | + | 23.0388i | 0.192713 | + | 0.0339806i | ||||
\(679\) | 308.594 | + | 367.768i | 0.454483 | + | 0.541632i | ||||
\(680\) | −40.1423 | + | 47.8398i | −0.0590328 | + | 0.0703526i | ||||
\(681\) | −193.720 | − | 1098.64i | −0.284464 | − | 1.61328i | ||||
\(682\) | −219.073 | − | 79.7361i | −0.321222 | − | 0.116915i | ||||
\(683\) | − | 1198.89i | − | 1.75532i | −0.479282 | − | 0.877661i | \(-0.659103\pi\) | ||
0.479282 | − | 0.877661i | \(-0.340897\pi\) | |||||||
\(684\) | 408.036 | + | 606.785i | 0.596543 | + | 0.887113i | ||||
\(685\) | 12.8034 | 0.0186911 | ||||||||
\(686\) | 87.8262 | − | 241.301i | 0.128027 | − | 0.351750i | ||||
\(687\) | 1720.31 | − | 303.337i | 2.50409 | − | 0.441539i | ||||
\(688\) | 120.407 | + | 101.033i | 0.175010 | + | 0.146851i | ||||
\(689\) | −267.425 | + | 224.396i | −0.388135 | + | 0.325684i | ||||
\(690\) | 11.9962 | − | 68.0340i | 0.0173858 | − | 0.0986000i | ||||
\(691\) | 72.6461 | − | 125.827i | 0.105132 | − | 0.182094i | −0.808660 | − | 0.588276i | \(-0.799807\pi\) |
0.913792 | + | 0.406182i | \(0.133140\pi\) | |||||||
\(692\) | −262.460 | + | 151.531i | −0.379277 | + | 0.218976i | ||||
\(693\) | −1924.63 | + | 700.508i | −2.77725 | + | 1.01083i | ||||
\(694\) | −87.5808 | − | 240.626i | −0.126197 | − | 0.346724i | ||||
\(695\) | 95.5100 | + | 165.428i | 0.137424 | + | 0.238026i | ||||
\(696\) | −261.661 | − | 151.070i | −0.375950 | − | 0.217055i | ||||
\(697\) | 391.107 | + | 68.9627i | 0.561129 | + | 0.0989422i | ||||
\(698\) | 434.176 | + | 517.431i | 0.622029 | + | 0.741305i | ||||
\(699\) | −901.730 | + | 1074.64i | −1.29003 | + | 1.53740i | ||||
\(700\) | 70.4723 | + | 399.668i | 0.100675 | + | 0.570954i | ||||
\(701\) | −1314.20 | − | 478.330i | −1.87475 | − | 0.682353i | −0.961381 | − | 0.275220i | \(-0.911249\pi\) |
−0.913369 | − | 0.407134i | \(-0.866528\pi\) | |||||||
\(702\) | 1298.87i | 1.85024i | ||||||||
\(703\) | 477.556 | − | 655.351i | 0.679312 | − | 0.932220i | ||||
\(704\) | 96.8151 | 0.137521 | ||||||||
\(705\) | 46.5072 | − | 127.777i | 0.0659676 | − | 0.181245i | ||||
\(706\) | −313.195 | + | 55.2247i | −0.443619 | + | 0.0782220i | ||||
\(707\) | −770.241 | − | 646.309i | −1.08945 | − | 0.914157i | ||||
\(708\) | −803.485 | + | 674.204i | −1.13487 | + | 0.952265i | ||||
\(709\) | −19.1696 | + | 108.716i | −0.0270376 | + | 0.153338i | −0.995338 | − | 0.0964523i | \(-0.969250\pi\) |
0.968300 | + | 0.249790i | \(0.0803616\pi\) | |||||||
\(710\) | −60.9452 | + | 105.560i | −0.0858383 | + | 0.148676i | ||||
\(711\) | 717.887 | − | 414.472i | 1.00969 | − | 0.582943i | ||||
\(712\) | −9.47837 | + | 3.44985i | −0.0133123 | + | 0.00484529i | ||||
\(713\) | −30.8369 | − | 84.7236i | −0.0432495 | − | 0.118827i | ||||
\(714\) | 525.471 | + | 910.142i | 0.735953 | + | 1.27471i | ||||
\(715\) | 245.581 | + | 141.786i | 0.343469 | + | 0.198302i | ||||
\(716\) | −559.013 | − | 98.5690i | −0.780744 | − | 0.137666i | ||||
\(717\) | −1188.12 | − | 1415.95i | −1.65708 | − | 1.97483i | ||||
\(718\) | −212.286 | + | 252.993i | −0.295664 | + | 0.352358i | ||||
\(719\) | 180.612 | + | 1024.30i | 0.251199 | + | 1.42462i | 0.805644 | + | 0.592400i | \(0.201820\pi\) |
−0.554445 | + | 0.832221i | \(0.687069\pi\) | |||||||
\(720\) | −100.446 | − | 36.5594i | −0.139509 | − | 0.0507770i | ||||
\(721\) | 391.441i | 0.542914i | ||||||||
\(722\) | −510.168 | − | 19.2591i | −0.706603 | − | 0.0266746i | ||||
\(723\) | −1170.81 | −1.61937 | ||||||||
\(724\) | 239.008 | − | 656.668i | 0.330121 | − | 0.907000i | ||||
\(725\) | −456.705 | + | 80.5295i | −0.629938 | + | 0.111075i | ||||
\(726\) | 146.557 | + | 122.976i | 0.201869 | + | 0.169389i | ||||
\(727\) | 752.214 | − | 631.183i | 1.03468 | − | 0.868202i | 0.0432818 | − | 0.999063i | \(-0.486219\pi\) |
0.991401 | + | 0.130861i | \(0.0417742\pi\) | |||||||
\(728\) | 72.8864 | − | 413.359i | 0.100119 | − | 0.567801i | ||||
\(729\) | −184.770 | + | 320.030i | −0.253456 | + | 0.438999i | ||||
\(730\) | 141.344 | − | 81.6049i | 0.193622 | − | 0.111787i | ||||
\(731\) | 587.070 | − | 213.676i | 0.803106 | − | 0.292307i | ||||
\(732\) | −342.451 | − | 940.875i | −0.467829 | − | 1.28535i | ||||
\(733\) | −187.485 | − | 324.734i | −0.255778 | − | 0.443020i | 0.709329 | − | 0.704878i | \(-0.248998\pi\) |
−0.965107 | + | 0.261858i | \(0.915665\pi\) | |||||||
\(734\) | 267.774 | + | 154.599i | 0.364815 | + | 0.210626i | ||||
\(735\) | −206.091 | − | 36.3393i | −0.280395 | − | 0.0494413i | ||||
\(736\) | 24.0672 | + | 28.6822i | 0.0327000 | + | 0.0389704i | ||||
\(737\) | 246.878 | − | 294.217i | 0.334977 | − | 0.399209i | ||||
\(738\) | 118.039 | + | 669.435i | 0.159945 | + | 0.907093i | ||||
\(739\) | 251.648 | + | 91.5926i | 0.340526 | + | 0.123941i | 0.506622 | − | 0.862168i | \(-0.330894\pi\) |
−0.166096 | + | 0.986110i | \(0.553116\pi\) | |||||||
\(740\) | 118.539i | 0.160188i | ||||||||
\(741\) | −1376.90 | − | 1003.36i | −1.85817 | − | 1.35406i | ||||
\(742\) | −257.348 | −0.346830 | ||||||||
\(743\) | 84.5421 | − | 232.277i | 0.113785 | − | 0.312621i | −0.869709 | − | 0.493566i | \(-0.835693\pi\) |
0.983493 | + | 0.180945i | \(0.0579155\pi\) | |||||||
\(744\) | −201.643 | + | 35.5552i | −0.271026 | + | 0.0477892i | ||||
\(745\) | −58.5612 | − | 49.1387i | −0.0786057 | − | 0.0659580i | ||||
\(746\) | −525.803 | + | 441.201i | −0.704830 | + | 0.591423i | ||||
\(747\) | 73.2218 | − | 415.261i | 0.0980211 | − | 0.555905i | ||||
\(748\) | 192.407 | − | 333.258i | 0.257228 | − | 0.445532i | ||||
\(749\) | −1084.03 | + | 625.867i | −1.44731 | + | 0.835603i | ||||
\(750\) | −471.480 | + | 171.605i | −0.628640 | + | 0.228806i | ||||
\(751\) | 299.494 | + | 822.852i | 0.398793 | + | 1.09568i | 0.962873 | + | 0.269955i | \(0.0870089\pi\) |
−0.564080 | + | 0.825720i | \(0.690769\pi\) | |||||||
\(752\) | 36.8487 | + | 63.8238i | 0.0490009 | + | 0.0848721i | ||||
\(753\) | 529.040 | + | 305.441i | 0.702576 | + | 0.405632i | ||||
\(754\) | 472.350 | + | 83.2881i | 0.626459 | + | 0.110462i | ||||
\(755\) | −134.005 | − | 159.700i | −0.177490 | − | 0.211524i | ||||
\(756\) | −615.468 | + | 733.486i | −0.814111 | + | 0.970219i | ||||
\(757\) | 31.7929 | + | 180.306i | 0.0419985 | + | 0.238185i | 0.998580 | − | 0.0532811i | \(-0.0169679\pi\) |
−0.956581 | + | 0.291466i | \(0.905857\pi\) | |||||||
\(758\) | −55.7618 | − | 20.2956i | −0.0735644 | − | 0.0267752i | ||||
\(759\) | 425.686i | 0.560851i | ||||||||
\(760\) | 61.9312 | − | 41.6459i | 0.0814884 | − | 0.0547973i | ||||
\(761\) | 1245.02 | 1.63603 | 0.818017 | − | 0.575193i | \(-0.195073\pi\) | ||||
0.818017 | + | 0.575193i | \(0.195073\pi\) | |||||||
\(762\) | −79.2710 | + | 217.795i | −0.104030 | + | 0.285820i | ||||
\(763\) | −273.188 | + | 48.1704i | −0.358045 | + | 0.0631329i | ||||
\(764\) | 436.188 | + | 366.005i | 0.570927 | + | 0.479065i | ||||
\(765\) | −325.468 | + | 273.100i | −0.425448 | + | 0.356993i | ||||
\(766\) | 138.867 | − | 787.555i | 0.181289 | − | 1.02814i | ||||
\(767\) | 832.526 | − | 1441.98i | 1.08543 | − | 1.88002i | ||||
\(768\) | 73.6382 | − | 42.5150i | 0.0958830 | − | 0.0553581i | ||||
\(769\) | 920.187 | − | 334.921i | 1.19660 | − | 0.435527i | 0.334565 | − | 0.942373i | \(-0.391411\pi\) |
0.862037 | + | 0.506845i | \(0.169189\pi\) | |||||||
\(770\) | 71.4970 | + | 196.436i | 0.0928532 | + | 0.255112i | ||||
\(771\) | 578.488 | + | 1001.97i | 0.750309 | + | 1.29957i | ||||
\(772\) | 363.924 | + | 210.112i | 0.471404 | + | 0.272165i | ||||
\(773\) | 825.024 | + | 145.474i | 1.06730 | + | 0.188194i | 0.679594 | − | 0.733588i | \(-0.262156\pi\) |
0.387708 | + | 0.921782i | \(0.373267\pi\) | |||||||
\(774\) | 687.360 | + | 819.164i | 0.888062 | + | 1.05835i | ||||
\(775\) | −202.011 | + | 240.748i | −0.260660 | + | 0.310642i | ||||
\(776\) | −26.8096 | − | 152.045i | −0.0345485 | − | 0.195934i | ||||
\(777\) | 1874.53 | + | 682.272i | 2.41252 | + | 0.878085i | ||||
\(778\) | − | 478.368i | − | 0.614869i | ||||||
\(779\) | −426.277 | − | 208.655i | −0.547210 | − | 0.267850i | ||||
\(780\) | 249.053 | 0.319299 | ||||||||
\(781\) | 256.883 | − | 705.781i | 0.328916 | − | 0.903689i | ||||
\(782\) | 146.560 | − | 25.8425i | 0.187417 | − | 0.0330467i | ||||
\(783\) | −838.163 | − | 703.302i | −1.07045 | − | 0.898214i | ||||
\(784\) | 86.8850 | − | 72.9052i | 0.110823 | − | 0.0929913i | ||||
\(785\) | 7.04699 | − | 39.9654i | 0.00897705 | − | 0.0509114i | ||||
\(786\) | 762.316 | − | 1320.37i | 0.969867 | − | 1.67986i | ||||
\(787\) | −289.816 | + | 167.325i | −0.368254 | + | 0.212612i | −0.672695 | − | 0.739920i | \(-0.734864\pi\) |
0.304441 | + | 0.952531i | \(0.401530\pi\) | |||||||
\(788\) | −412.314 | + | 150.070i | −0.523241 | + | 0.190444i | ||||
\(789\) | 561.369 | + | 1542.35i | 0.711495 | + | 1.95482i | ||||
\(790\) | −42.3029 | − | 73.2707i | −0.0535479 | − | 0.0927478i | ||||
\(791\) | −134.461 | − | 77.6313i | −0.169989 | − | 0.0981433i | ||||
\(792\) | 648.655 | + | 114.375i | 0.819009 | + | 0.144413i | ||||
\(793\) | 1021.69 | + | 1217.60i | 1.28838 | + | 1.53543i | ||||
\(794\) | −173.644 | + | 206.941i | −0.218695 | + | 0.260630i | ||||
\(795\) | −26.5160 | − | 150.380i | −0.0333534 | − | 0.189157i | ||||
\(796\) | 202.374 | + | 73.6581i | 0.254239 | + | 0.0925353i | ||||
\(797\) | − | 603.909i | − | 0.757728i | −0.925452 | − | 0.378864i | \(-0.876315\pi\) | ||
0.925452 | − | 0.378864i | \(-0.123685\pi\) | |||||||
\(798\) | −302.115 | − | 1219.05i | −0.378590 | − | 1.52763i | ||||
\(799\) | 292.927 | 0.366617 | ||||||||
\(800\) | 44.6375 | − | 122.641i | 0.0557969 | − | 0.153301i | ||||
\(801\) | −67.5801 | + | 11.9162i | −0.0843696 | + | 0.0148766i | ||||
\(802\) | −674.719 | − | 566.157i | −0.841296 | − | 0.705931i | ||||
\(803\) | −770.397 | + | 646.440i | −0.959399 | + | 0.805031i | ||||
\(804\) | 58.5752 | − | 332.196i | 0.0728547 | − | 0.413180i | ||||
\(805\) | −40.4223 | + | 70.0135i | −0.0502141 | + | 0.0869734i | ||||
\(806\) | 281.493 | − | 162.520i | 0.349247 | − | 0.201638i | ||||
\(807\) | −1903.55 | + | 692.834i | −2.35879 | + | 0.858531i | ||||
\(808\) | 110.592 | + | 303.850i | 0.136872 | + | 0.376052i | ||||
\(809\) | −119.262 | − | 206.568i | −0.147419 | − | 0.255337i | 0.782854 | − | 0.622206i | \(-0.213763\pi\) |
−0.930273 | + | 0.366868i | \(0.880430\pi\) | |||||||
\(810\) | −197.461 | − | 114.004i | −0.243779 | − | 0.140746i | ||||
\(811\) | −25.5145 | − | 4.49890i | −0.0314606 | − | 0.00554735i | 0.157896 | − | 0.987456i | \(-0.449529\pi\) |
−0.189356 | + | 0.981908i | \(0.560640\pi\) | |||||||
\(812\) | 227.276 | + | 270.857i | 0.279896 | + | 0.333567i | ||||
\(813\) | −444.806 | + | 530.099i | −0.547116 | + | 0.652028i | ||||
\(814\) | −126.837 | − | 719.331i | −0.155820 | − | 0.883699i | ||||
\(815\) | −14.0976 | − | 5.13110i | −0.0172977 | − | 0.00629583i | ||||
\(816\) | − | 337.971i | − | 0.414180i | ||||||
\(817\) | −744.860 | + | 51.0282i | −0.911701 | + | 0.0624580i | ||||
\(818\) | −236.406 | −0.289005 | ||||||||
\(819\) | 976.668 | − | 2683.37i | 1.19251 | − | 3.27640i | ||||
\(820\) | 68.3255 | − | 12.0476i | 0.0833237 | − | 0.0146922i | ||||
\(821\) | −212.356 | − | 178.188i | −0.258656 | − | 0.217038i | 0.504233 | − | 0.863568i | \(-0.331775\pi\) |
−0.762889 | + | 0.646530i | \(0.776220\pi\) | |||||||
\(822\) | −53.0791 | + | 44.5386i | −0.0645731 | + | 0.0541833i | ||||
\(823\) | −70.6734 | + | 400.809i | −0.0858729 | + | 0.487009i | 0.911292 | + | 0.411761i | \(0.135086\pi\) |
−0.997165 | + | 0.0752485i | \(0.976025\pi\) | |||||||
\(824\) | 62.9415 | − | 109.018i | 0.0763853 | − | 0.132303i | ||||
\(825\) | 1285.02 | − | 741.907i | 1.55760 | − | 0.899281i | ||||
\(826\) | 1153.42 | − | 419.810i | 1.39639 | − | 0.508244i | ||||
\(827\) | 167.032 | + | 458.917i | 0.201973 | + | 0.554918i | 0.998783 | − | 0.0493125i | \(-0.0157030\pi\) |
−0.796810 | + | 0.604230i | \(0.793481\pi\) | |||||||
\(828\) | 127.364 | + | 220.601i | 0.153822 | + | 0.266427i | ||||
\(829\) | −496.560 | − | 286.689i | −0.598986 | − | 0.345825i | 0.169656 | − | 0.985503i | \(-0.445734\pi\) |
−0.768643 | + | 0.639678i | \(0.779068\pi\) | |||||||
\(830\) | −42.3834 | − | 7.47334i | −0.0510644 | − | 0.00900402i | ||||
\(831\) | 1389.78 | + | 1656.27i | 1.67241 | + | 1.99311i | ||||
\(832\) | −86.7649 | + | 103.402i | −0.104285 | + | 0.124282i | ||||
\(833\) | −78.2831 | − | 443.965i | −0.0939773 | − | 0.532972i | ||||
\(834\) | −971.423 | − | 353.569i | −1.16478 | − | 0.423944i | ||||
\(835\) | − | 396.279i | − | 0.474586i | ||||||
\(836\) | −331.255 | + | 318.986i | −0.396238 | + | 0.381562i | ||||
\(837\) | −741.478 | −0.885876 | ||||||||
\(838\) | −358.914 | + | 986.108i | −0.428298 | + | 1.17674i | ||||
\(839\) | 301.226 | − | 53.1142i | 0.359030 | − | 0.0633066i | 0.00877592 | − | 0.999961i | \(-0.497207\pi\) |
0.350254 | + | 0.936655i | \(0.386095\pi\) | |||||||
\(840\) | 140.643 | + | 118.014i | 0.167433 | + | 0.140493i | ||||
\(841\) | 334.732 | − | 280.874i | 0.398017 | − | 0.333976i | ||||
\(842\) | 170.474 | − | 966.807i | 0.202463 | − | 1.14823i | ||||
\(843\) | −1095.18 | + | 1896.90i | −1.29914 | + | 2.25018i | ||||
\(844\) | 114.799 | − | 66.2790i | 0.136017 | − | 0.0785296i | ||||
\(845\) | −150.976 | + | 54.9508i | −0.178670 | + | 0.0650305i | ||||
\(846\) | 171.484 | + | 471.148i | 0.202700 | + | 0.556912i | ||||
\(847\) | −111.944 | − | 193.892i | −0.132165 | − | 0.228917i | ||||
\(848\) | 71.6724 | + | 41.3801i | 0.0845194 | + | 0.0487973i | ||||
\(849\) | −1796.68 | − | 316.804i | −2.11623 | − | 0.373149i | ||||
\(850\) | −333.444 | − | 397.383i | −0.392287 | − | 0.467509i | ||||
\(851\) | 181.577 | − | 216.395i | 0.213369 | − | 0.254283i | ||||
\(852\) | −114.547 | − | 649.628i | −0.134445 | − | 0.762474i | ||||
\(853\) | 1326.08 | + | 482.652i | 1.55460 | + | 0.565829i | 0.969492 | − | 0.245124i | \(-0.0788287\pi\) |
0.585111 | + | 0.810953i | \(0.301051\pi\) | |||||||
\(854\) | 1171.72i | 1.37204i | ||||||||
\(855\) | 464.135 | − | 205.861i | 0.542848 | − | 0.240773i | ||||
\(856\) | 402.543 | 0.470261 | ||||||||
\(857\) | 6.09996 | − | 16.7595i | 0.00711780 | − | 0.0195560i | −0.936083 | − | 0.351780i | \(-0.885577\pi\) |
0.943201 | + | 0.332224i | \(0.107799\pi\) | |||||||
\(858\) | −1511.33 | + | 266.488i | −1.76145 | + | 0.310592i | ||||
\(859\) | −1192.64 | − | 1000.74i | −1.38840 | − | 1.16501i | −0.965983 | − | 0.258606i | \(-0.916737\pi\) |
−0.422419 | − | 0.906401i | \(-0.638819\pi\) | |||||||
\(860\) | 83.6075 | − | 70.1550i | 0.0972180 | − | 0.0815756i | ||||
\(861\) | 202.743 | − | 1149.81i | 0.235473 | − | 1.33544i | ||||
\(862\) | −230.151 | + | 398.633i | −0.266996 | + | 0.462451i | ||||
\(863\) | −574.081 | + | 331.446i | −0.665215 | + | 0.384062i | −0.794261 | − | 0.607577i | \(-0.792142\pi\) |
0.129046 | + | 0.991639i | \(0.458808\pi\) | |||||||
\(864\) | 289.350 | − | 105.315i | 0.334896 | − | 0.121892i | ||||
\(865\) | 71.9743 | + | 197.748i | 0.0832073 | + | 0.228610i | ||||
\(866\) | −158.271 | − | 274.134i | −0.182761 | − | 0.316551i | ||||
\(867\) | 166.724 | + | 96.2582i | 0.192300 | + | 0.111024i | ||||
\(868\) | 235.972 | + | 41.6083i | 0.271857 | + | 0.0479358i | ||||
\(869\) | 335.106 | + | 399.364i | 0.385623 | + | 0.459567i | ||||
\(870\) | −134.856 | + | 160.715i | −0.155007 | + | 0.184730i | ||||
\(871\) | 92.9861 | + | 527.350i | 0.106758 | + | 0.605454i | ||||
\(872\) | 83.8294 | + | 30.5114i | 0.0961347 | + | 0.0349902i | ||||
\(873\) | − | 1050.36i | − | 1.20317i | ||||||
\(874\) | −176.849 | − | 18.8402i | −0.202344 | − | 0.0215563i | ||||
\(875\) | 587.157 | 0.671037 | ||||||||
\(876\) | −302.094 | + | 829.996i | −0.344856 | + | 0.947484i | ||||
\(877\) | 687.184 | − | 121.169i | 0.783562 | − | 0.138163i | 0.232465 | − | 0.972605i | \(-0.425321\pi\) |
0.551096 | + | 0.834442i | \(0.314210\pi\) | |||||||
\(878\) | 226.364 | + | 189.942i | 0.257818 | + | 0.216335i | ||||
\(879\) | −418.570 | + | 351.222i | −0.476189 | + | 0.399570i | ||||
\(880\) | 11.6737 | − | 66.2046i | 0.0132655 | − | 0.0752325i | ||||
\(881\) | −793.347 | + | 1374.12i | −0.900508 | + | 1.55972i | −0.0736710 | + | 0.997283i | \(0.523471\pi\) |
−0.826837 | + | 0.562442i | \(0.809862\pi\) | |||||||
\(882\) | 668.253 | − | 385.816i | 0.757656 | − | 0.437433i | ||||
\(883\) | 302.001 | − | 109.920i | 0.342017 | − | 0.124484i | −0.165300 | − | 0.986243i | \(-0.552859\pi\) |
0.507318 | + | 0.861759i | \(0.330637\pi\) | |||||||
\(884\) | 183.500 | + | 504.161i | 0.207579 | + | 0.570318i | ||||
\(885\) | 364.156 | + | 630.736i | 0.411475 | + | 0.712696i | ||||
\(886\) | −262.729 | − | 151.687i | −0.296534 | − | 0.171204i | ||||
\(887\) | −192.600 | − | 33.9606i | −0.217136 | − | 0.0382870i | 0.0640215 | − | 0.997949i | \(-0.479607\pi\) |
−0.281158 | + | 0.959662i | \(0.590718\pi\) | |||||||
\(888\) | −412.358 | − | 491.429i | −0.464367 | − | 0.553411i | ||||
\(889\) | 174.344 | − | 207.775i | 0.196112 | − | 0.233718i | ||||
\(890\) | 1.21622 | + | 6.89752i | 0.00136654 | + | 0.00775002i | ||||
\(891\) | 1320.24 | + | 480.526i | 1.48175 | + | 0.539311i | ||||
\(892\) | 240.895i | 0.270062i | ||||||||
\(893\) | −336.365 | − | 96.9658i | −0.376669 | − | 0.108584i | ||||
\(894\) | 413.714 | 0.462767 | ||||||||
\(895\) | −134.808 | + | 370.382i | −0.150623 | + | 0.413834i | ||||
\(896\) | −97.9943 | + | 17.2790i | −0.109369 | + | 0.0192846i | ||||
\(897\) | −454.649 | − | 381.496i | −0.506856 | − | 0.425302i | ||||
\(898\) | 336.998 | − | 282.775i | 0.375276 | − | 0.314894i | ||||
\(899\) | −47.5463 | + | 269.648i | −0.0528879 | + | 0.299942i | ||||
\(900\) | 443.954 | − | 768.950i | 0.493282 | − | 0.854389i | ||||
\(901\) | 284.878 | − | 164.474i | 0.316180 | − | 0.182546i | ||||
\(902\) | −401.728 | + | 146.217i | −0.445374 | + | 0.162103i | ||||
\(903\) | −628.183 | − | 1725.92i | −0.695663 | − | 1.91132i | ||||
\(904\) | 24.9653 | + | 43.2412i | 0.0276165 | + | 0.0478332i | ||||
\(905\) | −420.227 | − | 242.618i | −0.464339 | − | 0.268086i | ||||
\(906\) | 1111.09 | + | 195.914i | 1.22636 | + | 0.216241i | ||||
\(907\) | 229.744 | + | 273.799i | 0.253302 | + | 0.301873i | 0.877678 | − | 0.479250i | \(-0.159091\pi\) |
−0.624377 | + | 0.781123i | \(0.714647\pi\) | |||||||
\(908\) | 269.867 | − | 321.615i | 0.297210 | − | 0.354201i | ||||
\(909\) | 381.999 | + | 2166.42i | 0.420241 | + | 2.38331i | ||||
\(910\) | −273.877 | − | 99.6830i | −0.300964 | − | 0.109542i | ||||
\(911\) | − | 32.4608i | − | 0.0356321i | −0.999841 | − | 0.0178161i | \(-0.994329\pi\) | ||
0.999841 | − | 0.0178161i | \(-0.00567133\pi\) | |||||||
\(912\) | −111.876 | + | 388.089i | −0.122672 | + | 0.425536i | ||||
\(913\) | 265.191 | 0.290461 | ||||||||
\(914\) | −112.853 | + | 310.060i | −0.123471 | + | 0.339235i | ||||
\(915\) | −684.686 | + | 120.729i | −0.748290 | + | 0.131944i | ||||
\(916\) | 503.601 | + | 422.572i | 0.549783 | + | 0.461323i | ||||
\(917\) | −1366.77 | + | 1146.86i | −1.49048 | + | 1.25066i | ||||
\(918\) | 212.527 | − | 1205.30i | 0.231511 | − | 1.31297i | ||||
\(919\) | 229.720 | − | 397.886i | 0.249967 | − | 0.432956i | −0.713549 | − | 0.700605i | \(-0.752914\pi\) |
0.963516 | + | 0.267649i | \(0.0862469\pi\) | |||||||
\(920\) | 22.5156 | − | 12.9994i | 0.0244734 | − | 0.0141297i | ||||
\(921\) | −2448.49 | + | 891.176i | −2.65851 | + | 0.967618i | ||||
\(922\) | −332.208 | − | 912.734i | −0.360312 | − | 0.989950i | ||||
\(923\) | 523.585 | + | 906.877i | 0.567265 | + | 0.982532i | ||||
\(924\) | −979.740 | − | 565.653i | −1.06032 | − | 0.612179i | ||||
\(925\) | −969.693 | − | 170.983i | −1.04832 | − | 0.184846i | ||||
\(926\) | 69.0239 | + | 82.2595i | 0.0745398 | + | 0.0888331i | ||||
\(927\) | 550.495 | − | 656.055i | 0.593846 | − | 0.707718i | ||||
\(928\) | −19.7450 | − | 111.979i | −0.0212769 | − | 0.120667i | ||||
\(929\) | 262.118 | + | 95.4030i | 0.282150 | + | 0.102694i | 0.479219 | − | 0.877695i | \(-0.340920\pi\) |
−0.197069 | + | 0.980390i | \(0.563142\pi\) | |||||||
\(930\) | 142.176i | 0.152877i | ||||||||
\(931\) | −57.0714 | + | 535.715i | −0.0613012 | + | 0.575419i | ||||
\(932\) | −527.942 | −0.566462 | ||||||||
\(933\) | 185.545 | − | 509.780i | 0.198869 | − | 0.546388i | ||||
\(934\) | −308.319 | + | 54.3649i | −0.330106 | + | 0.0582065i | ||||
\(935\) | −204.690 | − | 171.756i | −0.218920 | − | 0.183696i | ||||
\(936\) | −703.477 | + | 590.287i | −0.751578 | + | 0.630648i | ||||
\(937\) | 119.917 | − | 680.085i | 0.127980 | − | 0.725811i | −0.851513 | − | 0.524333i | \(-0.824315\pi\) |
0.979493 | − | 0.201477i | \(-0.0645743\pi\) | |||||||
\(938\) | −197.374 | + | 341.862i | −0.210420 | + | 0.364459i | ||||
\(939\) | 801.622 | − | 462.816i | 0.853697 | − | 0.492882i | ||||
\(940\) | 48.0874 | − | 17.5024i | 0.0511568 | − | 0.0186196i | ||||
\(941\) | −423.538 | − | 1163.66i | −0.450094 | − | 1.23662i | −0.932658 | − | 0.360762i | \(-0.882517\pi\) |
0.482564 | − | 0.875861i | \(-0.339706\pi\) | |||||||
\(942\) | 109.811 | + | 190.199i | 0.116573 | + | 0.201910i | ||||
\(943\) | −143.183 | − | 82.6668i | −0.151838 | − | 0.0876637i | ||||
\(944\) | −388.734 | − | 68.5443i | −0.411795 | − | 0.0726105i | ||||
\(945\) | 427.365 | + | 509.313i | 0.452238 | + | 0.538956i | ||||
\(946\) | −432.288 | + | 515.181i | −0.456964 | + | 0.544589i | ||||
\(947\) | −158.218 | − | 897.302i | −0.167073 | − | 0.947520i | −0.946901 | − | 0.321526i | \(-0.895804\pi\) |
0.779827 | − | 0.625995i | \(-0.215307\pi\) | |||||||
\(948\) | 430.259 | + | 156.601i | 0.453859 | + | 0.165191i | ||||
\(949\) | − | 1402.15i | − | 1.47750i | ||||||
\(950\) | 251.347 | + | 566.689i | 0.264576 | + | 0.596515i | ||||
\(951\) | −1677.57 | −1.76401 | ||||||||
\(952\) | −135.272 | + | 371.657i | −0.142092 | + | 0.390396i | ||||
\(953\) | −594.322 | + | 104.795i | −0.623633 | + | 0.109963i | −0.476530 | − | 0.879158i | \(-0.658106\pi\) |
−0.147102 | + | 0.989121i | \(0.546995\pi\) | |||||||
\(954\) | 431.315 | + | 361.916i | 0.452112 | + | 0.379367i | ||||
\(955\) | 302.878 | − | 254.145i | 0.317149 | − | 0.266120i | ||||
\(956\) | 120.793 | − | 685.052i | 0.126353 | − | 0.716581i | ||||
\(957\) | 646.378 | − | 1119.56i | 0.675421 | − | 1.16986i | ||||
\(958\) | −497.864 | + | 287.442i | −0.519691 | + | 0.300044i | ||||
\(959\) | 76.1960 | − | 27.7331i | 0.0794536 | − | 0.0289187i | ||||
\(960\) | −20.1938 | − | 55.4819i | −0.0210352 | − | 0.0577937i | ||||
\(961\) | −387.723 | − | 671.556i | −0.403458 | − | 0.698810i | ||||
\(962\) | 881.945 | + | 509.191i | 0.916782 | + | 0.529305i | ||||
\(963\) | 2697.01 | + | 475.556i | 2.80064 | + | 0.493828i | ||||
\(964\) | −283.224 | − | 337.533i | −0.293801 | − | 0.350138i | ||||
\(965\) | 187.560 | − | 223.526i | 0.194363 | − | 0.231633i | ||||
\(966\) | −75.9741 | − | 430.871i | −0.0786482 | − | 0.446036i | ||||
\(967\) | 18.4649 | + | 6.72068i | 0.0190950 | + | 0.00695003i | 0.351550 | − | 0.936169i | \(-0.385655\pi\) |
−0.332455 | + | 0.943119i | \(0.607877\pi\) | |||||||
\(968\) | 71.9997i | 0.0743799i | ||||||||
\(969\) | 1113.54 | + | 1156.37i | 1.14917 | + | 1.19337i | ||||
\(970\) | −107.205 | −0.110520 | ||||||||
\(971\) | −54.6251 | + | 150.081i | −0.0562565 | + | 0.154564i | −0.964638 | − | 0.263580i | \(-0.915097\pi\) |
0.908381 | + | 0.418143i | \(0.137319\pi\) | |||||||
\(972\) | 250.285 | − | 44.1319i | 0.257494 | − | 0.0454032i | ||||
\(973\) | 926.731 | + | 777.620i | 0.952447 | + | 0.799198i | ||||
\(974\) | 514.308 | − | 431.556i | 0.528037 | − | 0.443076i | ||||
\(975\) | −359.239 | + | 2037.34i | −0.368450 | + | 2.08958i | ||||
\(976\) | 188.406 | − | 326.328i | 0.193039 | − | 0.334353i | ||||
\(977\) | 868.501 | − | 501.429i | 0.888946 | − | 0.513233i | 0.0153487 | − | 0.999882i | \(-0.495114\pi\) |
0.873598 | + | 0.486649i | \(0.161781\pi\) | |||||||
\(978\) | 76.2937 | − | 27.7686i | 0.0780099 | − | 0.0283933i | ||||
\(979\) | −14.7607 | − | 40.5548i | −0.0150774 | − | 0.0414247i | ||||
\(980\) | −39.3781 | − | 68.2048i | −0.0401817 | − | 0.0695968i | ||||
\(981\) | 525.606 | + | 303.459i | 0.535786 | + | 0.309336i | ||||
\(982\) | 913.132 | + | 161.010i | 0.929869 | + | 0.163961i | ||||
\(983\) | −989.296 | − | 1179.00i | −1.00640 | − | 1.19939i | −0.979849 | − | 0.199739i | \(-0.935991\pi\) |
−0.0265556 | − | 0.999647i | \(-0.508454\pi\) | |||||||
\(984\) | −241.347 | + | 287.627i | −0.245272 | + | 0.292303i | ||||
\(985\) | 52.9062 | + | 300.046i | 0.0537118 | + | 0.304615i | ||||
\(986\) | −424.696 | − | 154.577i | −0.430726 | − | 0.156772i | ||||
\(987\) | − | 861.171i | − | 0.872513i | ||||||
\(988\) | −43.8216 | − | 639.666i | −0.0443539 | − | 0.647436i | ||||
\(989\) | −260.089 | −0.262981 | ||||||||
\(990\) | 156.425 | − | 429.775i | 0.158006 | − | 0.434117i | ||||
\(991\) | −29.9843 | + | 5.28704i | −0.0302566 | + | 0.00533505i | −0.188756 | − | 0.982024i | \(-0.560446\pi\) |
0.158499 | + | 0.987359i | \(0.449334\pi\) | |||||||
\(992\) | −59.0288 | − | 49.5310i | −0.0595048 | − | 0.0499305i | ||||
\(993\) | 1970.01 | − | 1653.03i | 1.98390 | − | 1.66469i | ||||
\(994\) | −134.048 | + | 760.224i | −0.134857 | + | 0.764813i | ||||
\(995\) | 74.7708 | − | 129.507i | 0.0751466 | − | 0.130158i | ||||
\(996\) | 201.706 | − | 116.455i | 0.202516 | − | 0.116923i | ||||
\(997\) | −33.6581 | + | 12.2505i | −0.0337594 | + | 0.0122874i | −0.358845 | − | 0.933397i | \(-0.616829\pi\) |
0.325085 | + | 0.945685i | \(0.394607\pi\) | |||||||
\(998\) | 365.775 | + | 1004.96i | 0.366508 | + | 1.00697i | ||||
\(999\) | −1161.56 | − | 2011.88i | −1.16272 | − | 2.01390i |
(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 | 38.3.f.a.15.1 | ✓ | 24 | |
3.2 | odd | 2 | 342.3.z.b.91.4 | 24 | |||
4.3 | odd | 2 | 304.3.z.c.129.4 | 24 | |||
19.9 | even | 9 | 722.3.b.f.721.12 | 24 | |||
19.10 | odd | 18 | 722.3.b.f.721.13 | 24 | |||
19.14 | odd | 18 | inner | 38.3.f.a.33.1 | yes | 24 | |
57.14 | even | 18 | 342.3.z.b.109.4 | 24 | |||
76.71 | even | 18 | 304.3.z.c.33.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.3.f.a.15.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
38.3.f.a.33.1 | yes | 24 | 19.14 | odd | 18 | inner | |
304.3.z.c.33.4 | 24 | 76.71 | even | 18 | |||
304.3.z.c.129.4 | 24 | 4.3 | odd | 2 | |||
342.3.z.b.91.4 | 24 | 3.2 | odd | 2 | |||
342.3.z.b.109.4 | 24 | 57.14 | even | 18 | |||
722.3.b.f.721.12 | 24 | 19.9 | even | 9 | |||
722.3.b.f.721.13 | 24 | 19.10 | odd | 18 |