Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 10 x^{19} + 67300 x^{18} - 605415 x^{17} + 1505002471 x^{16} - 12026298320 x^{15} + \cdots + 45\!\cdots\!05 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8}\cdot 5^{10} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 121.5 | ||
Root | \(0.500000 - 62.0735i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 150.121 |
Dual form | 150.6.g.a.31.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23607 | + | 3.80423i | −0.218508 | + | 0.672499i | ||||
\(3\) | 7.28115 | + | 5.29007i | 0.467086 | + | 0.339358i | ||||
\(4\) | −12.9443 | − | 9.40456i | −0.404508 | − | 0.293893i | ||||
\(5\) | 51.5150 | − | 21.7074i | 0.921528 | − | 0.388313i | ||||
\(6\) | −29.1246 | + | 21.1603i | −0.330280 | + | 0.239962i | ||||
\(7\) | −38.5661 | −0.297482 | −0.148741 | − | 0.988876i | \(-0.547522\pi\) | ||||
−0.148741 | + | 0.988876i | \(0.547522\pi\) | |||||||
\(8\) | 51.7771 | − | 37.6183i | 0.286031 | − | 0.207813i | ||||
\(9\) | 25.0304 | + | 77.0356i | 0.103006 | + | 0.317019i | ||||
\(10\) | 18.9037 | + | 222.806i | 0.0597787 | + | 0.704575i | ||||
\(11\) | 100.280 | − | 308.629i | 0.249880 | − | 0.769051i | −0.744916 | − | 0.667159i | \(-0.767510\pi\) |
0.994795 | − | 0.101892i | \(-0.0324897\pi\) | |||||||
\(12\) | −44.4984 | − | 136.952i | −0.0892055 | − | 0.274546i | ||||
\(13\) | 52.3555 | + | 161.134i | 0.0859219 | + | 0.264440i | 0.984782 | − | 0.173796i | \(-0.0556033\pi\) |
−0.898860 | + | 0.438236i | \(0.855603\pi\) | |||||||
\(14\) | 47.6703 | − | 146.714i | 0.0650021 | − | 0.200056i | ||||
\(15\) | 489.922 | + | 114.463i | 0.562210 | + | 0.131352i | ||||
\(16\) | 79.1084 | + | 243.470i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 620.318 | − | 450.687i | 0.520585 | − | 0.378227i | −0.296239 | − | 0.955114i | \(-0.595733\pi\) |
0.816824 | + | 0.576887i | \(0.195733\pi\) | |||||||
\(18\) | −324.000 | −0.235702 | ||||||||
\(19\) | 591.765 | − | 429.943i | 0.376067 | − | 0.273229i | −0.383655 | − | 0.923476i | \(-0.625335\pi\) |
0.759722 | + | 0.650248i | \(0.225335\pi\) | |||||||
\(20\) | −870.972 | − | 203.490i | −0.486888 | − | 0.113754i | ||||
\(21\) | −280.805 | − | 204.017i | −0.138950 | − | 0.100953i | ||||
\(22\) | 1050.14 | + | 762.973i | 0.462585 | + | 0.336088i | ||||
\(23\) | 991.484 | − | 3051.47i | 0.390810 | − | 1.20279i | −0.541367 | − | 0.840787i | \(-0.682093\pi\) |
0.932177 | − | 0.362003i | \(-0.117907\pi\) | |||||||
\(24\) | 576.000 | 0.204124 | ||||||||
\(25\) | 2182.58 | − | 2236.51i | 0.698426 | − | 0.715682i | ||||
\(26\) | −677.703 | −0.196610 | ||||||||
\(27\) | −225.273 | + | 693.320i | −0.0594703 | + | 0.183031i | ||||
\(28\) | 499.210 | + | 362.697i | 0.120334 | + | 0.0874277i | ||||
\(29\) | 1560.31 | + | 1133.63i | 0.344521 | + | 0.250309i | 0.746567 | − | 0.665311i | \(-0.231701\pi\) |
−0.402046 | + | 0.915619i | \(0.631701\pi\) | |||||||
\(30\) | −1041.02 | + | 1722.29i | −0.211181 | + | 0.349384i | ||||
\(31\) | 2392.36 | − | 1738.15i | 0.447117 | − | 0.324850i | −0.341339 | − | 0.939940i | \(-0.610880\pi\) |
0.788457 | + | 0.615090i | \(0.210880\pi\) | |||||||
\(32\) | −1024.00 | −0.176777 | ||||||||
\(33\) | 2362.82 | − | 1716.69i | 0.377699 | − | 0.274414i | ||||
\(34\) | 947.761 | + | 2916.91i | 0.140605 | + | 0.432738i | ||||
\(35\) | −1986.73 | + | 837.167i | −0.274138 | + | 0.115516i | ||||
\(36\) | 400.486 | − | 1232.57i | 0.0515028 | − | 0.158509i | ||||
\(37\) | 1967.15 | + | 6054.26i | 0.236229 | + | 0.727037i | 0.996956 | + | 0.0779657i | \(0.0248425\pi\) |
−0.760727 | + | 0.649072i | \(0.775158\pi\) | |||||||
\(38\) | 904.137 | + | 2782.65i | 0.101572 | + | 0.312607i | ||||
\(39\) | −471.199 | + | 1450.20i | −0.0496070 | + | 0.152675i | ||||
\(40\) | 1850.70 | − | 3061.85i | 0.182889 | − | 0.302575i | ||||
\(41\) | 1195.20 | + | 3678.46i | 0.111041 | + | 0.341749i | 0.991101 | − | 0.133114i | \(-0.0424977\pi\) |
−0.880060 | + | 0.474863i | \(0.842498\pi\) | |||||||
\(42\) | 1123.22 | − | 816.068i | 0.0982522 | − | 0.0713844i | ||||
\(43\) | 13101.2 | 1.08054 | 0.540269 | − | 0.841492i | \(-0.318322\pi\) | ||||
0.540269 | + | 0.841492i | \(0.318322\pi\) | |||||||
\(44\) | −4200.57 | + | 3051.89i | −0.327097 | + | 0.237650i | ||||
\(45\) | 2961.68 | + | 3425.14i | 0.218025 | + | 0.252143i | ||||
\(46\) | 10383.0 | + | 7543.65i | 0.723479 | + | 0.525639i | ||||
\(47\) | 12781.3 | + | 9286.13i | 0.843974 | + | 0.613183i | 0.923478 | − | 0.383651i | \(-0.125334\pi\) |
−0.0795038 | + | 0.996835i | \(0.525334\pi\) | |||||||
\(48\) | −711.975 | + | 2191.23i | −0.0446028 | + | 0.137273i | ||||
\(49\) | −15319.7 | −0.911505 | ||||||||
\(50\) | 5810.36 | + | 11067.5i | 0.328683 | + | 0.626073i | ||||
\(51\) | 6900.79 | 0.371513 | ||||||||
\(52\) | 837.688 | − | 2578.14i | 0.0429609 | − | 0.132220i | ||||
\(53\) | −2225.62 | − | 1617.01i | −0.108833 | − | 0.0790719i | 0.532037 | − | 0.846721i | \(-0.321427\pi\) |
−0.640871 | + | 0.767649i | \(0.721427\pi\) | |||||||
\(54\) | −2359.09 | − | 1713.98i | −0.110093 | − | 0.0799874i | ||||
\(55\) | −1533.62 | − | 18075.8i | −0.0683613 | − | 0.805733i | ||||
\(56\) | −1996.84 | + | 1450.79i | −0.0850889 | + | 0.0618207i | ||||
\(57\) | 6583.16 | 0.268378 | ||||||||
\(58\) | −6241.23 | + | 4534.52i | −0.243613 | + | 0.176995i | ||||
\(59\) | 9933.45 | + | 30572.0i | 0.371510 | + | 1.14339i | 0.945803 | + | 0.324740i | \(0.105277\pi\) |
−0.574294 | + | 0.818649i | \(0.694723\pi\) | |||||||
\(60\) | −5265.20 | − | 6089.14i | −0.188815 | − | 0.218362i | ||||
\(61\) | −6576.87 | + | 20241.5i | −0.226305 | + | 0.696496i | 0.771851 | + | 0.635803i | \(0.219331\pi\) |
−0.998157 | + | 0.0606926i | \(0.980669\pi\) | |||||||
\(62\) | 3655.19 | + | 11249.5i | 0.120762 | + | 0.371668i | ||||
\(63\) | −965.323 | − | 2970.96i | −0.0306423 | − | 0.0943073i | ||||
\(64\) | 1265.73 | − | 3895.53i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 6194.87 | + | 7164.29i | 0.181865 | + | 0.210324i | ||||
\(66\) | 3610.07 | + | 11110.6i | 0.102013 | + | 0.313964i | ||||
\(67\) | 18518.7 | − | 13454.6i | 0.503992 | − | 0.366172i | −0.306548 | − | 0.951855i | \(-0.599174\pi\) |
0.810540 | + | 0.585684i | \(0.199174\pi\) | |||||||
\(68\) | −12268.1 | −0.321739 | ||||||||
\(69\) | 23361.6 | − | 16973.2i | 0.590718 | − | 0.429182i | ||||
\(70\) | −729.041 | − | 8592.76i | −0.0177831 | − | 0.209598i | ||||
\(71\) | 27483.3 | + | 19967.8i | 0.647029 | + | 0.470094i | 0.862258 | − | 0.506470i | \(-0.169050\pi\) |
−0.215229 | + | 0.976564i | \(0.569050\pi\) | |||||||
\(72\) | 4193.94 | + | 3047.08i | 0.0953436 | + | 0.0692712i | ||||
\(73\) | 24741.0 | − | 76144.9i | 0.543388 | − | 1.67238i | −0.181404 | − | 0.983409i | \(-0.558064\pi\) |
0.724792 | − | 0.688968i | \(-0.241936\pi\) | |||||||
\(74\) | −25463.3 | −0.540549 | ||||||||
\(75\) | 27723.0 | − | 4738.34i | 0.569098 | − | 0.0972687i | ||||
\(76\) | −11703.4 | −0.232422 | ||||||||
\(77\) | −3867.39 | + | 11902.6i | −0.0743346 | + | 0.228779i | ||||
\(78\) | −4934.46 | − | 3585.10i | −0.0918340 | − | 0.0667213i | ||||
\(79\) | 12993.3 | + | 9440.18i | 0.234235 | + | 0.170182i | 0.698711 | − | 0.715404i | \(-0.253757\pi\) |
−0.464476 | + | 0.885586i | \(0.653757\pi\) | |||||||
\(80\) | 9360.36 | + | 10825.1i | 0.163519 | + | 0.189107i | ||||
\(81\) | −5307.96 | + | 3856.46i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −15471.1 | −0.254089 | ||||||||
\(83\) | 6591.75 | − | 4789.18i | 0.105028 | − | 0.0763074i | −0.534032 | − | 0.845465i | \(-0.679324\pi\) |
0.639060 | + | 0.769157i | \(0.279324\pi\) | |||||||
\(84\) | 1716.13 | + | 5281.70i | 0.0265370 | + | 0.0816725i | ||||
\(85\) | 22172.4 | − | 36682.6i | 0.332863 | − | 0.550697i | ||||
\(86\) | −16194.0 | + | 49840.0i | −0.236106 | + | 0.726661i | ||||
\(87\) | 5363.86 | + | 16508.3i | 0.0759765 | + | 0.233832i | ||||
\(88\) | −6417.90 | − | 19752.3i | −0.0883458 | − | 0.271901i | ||||
\(89\) | −5302.75 | + | 16320.2i | −0.0709620 | + | 0.218399i | −0.980248 | − | 0.197774i | \(-0.936629\pi\) |
0.909286 | + | 0.416173i | \(0.136629\pi\) | |||||||
\(90\) | −16690.8 | + | 7033.18i | −0.217206 | + | 0.0915262i | ||||
\(91\) | −2019.14 | − | 6214.29i | −0.0255602 | − | 0.0786661i | ||||
\(92\) | −41531.8 | + | 30174.6i | −0.511577 | + | 0.371683i | ||||
\(93\) | 26614.0 | 0.319083 | ||||||||
\(94\) | −51125.1 | + | 37144.5i | −0.596780 | + | 0.433586i | ||||
\(95\) | 21151.8 | − | 34994.1i | 0.240458 | − | 0.397820i | ||||
\(96\) | −7455.90 | − | 5417.03i | −0.0825700 | − | 0.0599906i | ||||
\(97\) | −125295. | − | 91032.3i | −1.35209 | − | 0.982350i | −0.998904 | − | 0.0467961i | \(-0.985099\pi\) |
−0.353184 | − | 0.935554i | \(-0.614901\pi\) | |||||||
\(98\) | 18936.1 | − | 58279.4i | 0.199171 | − | 0.612986i | ||||
\(99\) | 26285.5 | 0.269543 | ||||||||
\(100\) | −49285.3 | + | 8423.72i | −0.492853 | + | 0.0842372i | ||||
\(101\) | −75903.5 | −0.740386 | −0.370193 | − | 0.928955i | \(-0.620708\pi\) | ||||
−0.370193 | + | 0.928955i | \(0.620708\pi\) | |||||||
\(102\) | −8529.85 | + | 26252.2i | −0.0811785 | + | 0.249842i | ||||
\(103\) | −70891.1 | − | 51505.4i | −0.658413 | − | 0.478365i | 0.207714 | − | 0.978190i | \(-0.433398\pi\) |
−0.866127 | + | 0.499825i | \(0.833398\pi\) | |||||||
\(104\) | 8772.38 | + | 6373.51i | 0.0795305 | + | 0.0577823i | ||||
\(105\) | −18894.3 | − | 4414.39i | −0.167247 | − | 0.0390749i | ||||
\(106\) | 8902.48 | − | 6468.03i | 0.0769567 | − | 0.0559123i | ||||
\(107\) | −158396. | −1.33747 | −0.668734 | − | 0.743502i | \(-0.733164\pi\) | ||||
−0.668734 | + | 0.743502i | \(0.733164\pi\) | |||||||
\(108\) | 9436.37 | − | 6855.93i | 0.0778477 | − | 0.0565597i | ||||
\(109\) | −59521.4 | − | 183188.i | −0.479852 | − | 1.47683i | −0.839301 | − | 0.543667i | \(-0.817036\pi\) |
0.359450 | − | 0.933164i | \(-0.382964\pi\) | |||||||
\(110\) | 70660.1 | + | 16508.7i | 0.556792 | + | 0.130086i | ||||
\(111\) | −17704.3 | + | 54488.3i | −0.136387 | + | 0.419755i | ||||
\(112\) | −3050.90 | − | 9389.70i | −0.0229817 | − | 0.0707305i | ||||
\(113\) | −34227.3 | − | 105341.i | −0.252160 | − | 0.776070i | −0.994376 | − | 0.105909i | \(-0.966225\pi\) |
0.742215 | − | 0.670161i | \(-0.233775\pi\) | |||||||
\(114\) | −8137.23 | + | 25043.8i | −0.0586428 | + | 0.180484i | ||||
\(115\) | −15163.2 | − | 178719.i | −0.106917 | − | 1.26016i | ||||
\(116\) | −9535.75 | − | 29348.0i | −0.0657976 | − | 0.202504i | ||||
\(117\) | −11102.5 | + | 8066.47i | −0.0749821 | + | 0.0544777i | ||||
\(118\) | −128581. | −0.850105 | ||||||||
\(119\) | −23923.2 | + | 17381.2i | −0.154865 | + | 0.112516i | ||||
\(120\) | 29672.6 | − | 12503.4i | 0.188106 | − | 0.0792640i | ||||
\(121\) | 45097.1 | + | 32765.0i | 0.280018 | + | 0.203445i | ||||
\(122\) | −68873.8 | − | 50039.8i | −0.418943 | − | 0.304380i | ||||
\(123\) | −10756.8 | + | 33106.2i | −0.0641095 | + | 0.197309i | ||||
\(124\) | −47313.8 | −0.276334 | ||||||||
\(125\) | 63887.0 | − | 162592.i | 0.365710 | − | 0.930729i | ||||
\(126\) | 12495.4 | 0.0701171 | ||||||||
\(127\) | −33286.6 | + | 102446.i | −0.183130 | + | 0.563617i | −0.999911 | − | 0.0133310i | \(-0.995756\pi\) |
0.816781 | + | 0.576948i | \(0.195756\pi\) | |||||||
\(128\) | 13254.9 | + | 9630.27i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 95391.9 | + | 69306.3i | 0.504705 | + | 0.366689i | ||||
\(130\) | −34911.9 | + | 14711.1i | −0.181182 | + | 0.0763463i | ||||
\(131\) | 56170.3 | − | 40810.1i | 0.285975 | − | 0.207773i | −0.435544 | − | 0.900167i | \(-0.643444\pi\) |
0.721519 | + | 0.692394i | \(0.243444\pi\) | |||||||
\(132\) | −46729.7 | −0.233431 | ||||||||
\(133\) | −22822.1 | + | 16581.2i | −0.111873 | + | 0.0812806i | ||||
\(134\) | 28294.1 | + | 87080.2i | 0.136124 | + | 0.418945i | ||||
\(135\) | 3445.20 | + | 40606.4i | 0.0162697 | + | 0.191761i | ||||
\(136\) | 15164.2 | − | 46670.5i | 0.0703026 | − | 0.216369i | ||||
\(137\) | 82803.3 | + | 254842.i | 0.376917 | + | 1.16003i | 0.942176 | + | 0.335119i | \(0.108776\pi\) |
−0.565258 | + | 0.824914i | \(0.691224\pi\) | |||||||
\(138\) | 35693.4 | + | 109853.i | 0.159548 | + | 0.491037i | ||||
\(139\) | 12228.0 | − | 37634.0i | 0.0536809 | − | 0.165213i | −0.920622 | − | 0.390456i | \(-0.872318\pi\) |
0.974303 | + | 0.225243i | \(0.0723175\pi\) | |||||||
\(140\) | 33590.0 | + | 7847.80i | 0.144840 | + | 0.0338398i | ||||
\(141\) | 43938.1 | + | 135227.i | 0.186120 | + | 0.572819i | ||||
\(142\) | −109933. | + | 79871.3i | −0.457518 | + | 0.332407i | ||||
\(143\) | 54980.7 | 0.224838 | ||||||||
\(144\) | −16775.8 | + | 12188.3i | −0.0674181 | + | 0.0489821i | ||||
\(145\) | 104987. | + | 24528.8i | 0.414684 | + | 0.0968848i | ||||
\(146\) | 259091. | + | 188241.i | 1.00594 | + | 0.730855i | ||||
\(147\) | −111545. | − | 81042.0i | −0.425751 | − | 0.309326i | ||||
\(148\) | 31474.4 | − | 96868.2i | 0.118114 | − | 0.363519i | ||||
\(149\) | −48720.6 | −0.179782 | −0.0898911 | − | 0.995952i | \(-0.528652\pi\) | ||||
−0.0898911 | + | 0.995952i | \(0.528652\pi\) | |||||||
\(150\) | −16241.8 | + | 111321.i | −0.0589393 | + | 0.403971i | ||||
\(151\) | 163079. | 0.582045 | 0.291023 | − | 0.956716i | \(-0.406005\pi\) | ||||
0.291023 | + | 0.956716i | \(0.406005\pi\) | |||||||
\(152\) | 14466.2 | − | 44522.4i | 0.0507861 | − | 0.156304i | ||||
\(153\) | 50245.7 | + | 36505.7i | 0.173528 | + | 0.126076i | ||||
\(154\) | −40499.8 | − | 29424.9i | −0.137610 | − | 0.0999799i | ||||
\(155\) | 85511.5 | − | 141472.i | 0.285888 | − | 0.472980i | ||||
\(156\) | 19737.8 | − | 14340.4i | 0.0649364 | − | 0.0471791i | ||||
\(157\) | −80633.3 | −0.261075 | −0.130537 | − | 0.991443i | \(-0.541670\pi\) | ||||
−0.130537 | + | 0.991443i | \(0.541670\pi\) | |||||||
\(158\) | −51973.2 | + | 37760.7i | −0.165629 | + | 0.120337i | ||||
\(159\) | −7651.00 | − | 23547.4i | −0.0240008 | − | 0.0738668i | ||||
\(160\) | −52751.3 | + | 22228.3i | −0.162905 | + | 0.0686447i | ||||
\(161\) | −38237.6 | + | 117683.i | −0.116259 | + | 0.357808i | ||||
\(162\) | −8109.84 | − | 24959.5i | −0.0242787 | − | 0.0747221i | ||||
\(163\) | −52095.2 | − | 160332.i | −0.153578 | − | 0.472664i | 0.844436 | − | 0.535656i | \(-0.179936\pi\) |
−0.998014 | + | 0.0629923i | \(0.979936\pi\) | |||||||
\(164\) | 19123.3 | − | 58855.4i | 0.0555204 | − | 0.170874i | ||||
\(165\) | 84455.8 | − | 139726.i | 0.241501 | − | 0.399546i | ||||
\(166\) | 10071.3 | + | 30996.3i | 0.0283671 | + | 0.0873050i | ||||
\(167\) | −291223. | + | 211586.i | −0.808042 | + | 0.587077i | −0.913262 | − | 0.407372i | \(-0.866445\pi\) |
0.105220 | + | 0.994449i | \(0.466445\pi\) | |||||||
\(168\) | −22214.1 | −0.0607232 | ||||||||
\(169\) | 277159. | − | 201368.i | 0.746471 | − | 0.542343i | ||||
\(170\) | 112142. | + | 129691.i | 0.297610 | + | 0.344182i | ||||
\(171\) | 47933.0 | + | 34825.4i | 0.125356 | + | 0.0910763i | ||||
\(172\) | −169586. | − | 123211.i | −0.437087 | − | 0.317562i | ||||
\(173\) | 5519.44 | − | 16987.1i | 0.0140210 | − | 0.0431523i | −0.943801 | − | 0.330514i | \(-0.892778\pi\) |
0.957822 | + | 0.287361i | \(0.0927780\pi\) | |||||||
\(174\) | −69431.3 | −0.173853 | ||||||||
\(175\) | −84173.6 | + | 86253.3i | −0.207769 | + | 0.212902i | ||||
\(176\) | 83075.0 | 0.202157 | ||||||||
\(177\) | −89401.0 | + | 275148.i | −0.214491 | + | 0.660136i | ||||
\(178\) | −55531.1 | − | 40345.7i | −0.131367 | − | 0.0954437i | ||||
\(179\) | 171509. | + | 124609.i | 0.400087 | + | 0.290680i | 0.769576 | − | 0.638555i | \(-0.220467\pi\) |
−0.369490 | + | 0.929235i | \(0.620467\pi\) | |||||||
\(180\) | −6124.79 | − | 72189.2i | −0.0140900 | − | 0.166070i | ||||
\(181\) | −122265. | + | 88830.6i | −0.277399 | + | 0.201542i | −0.717782 | − | 0.696268i | \(-0.754843\pi\) |
0.440383 | + | 0.897810i | \(0.354843\pi\) | |||||||
\(182\) | 26136.4 | 0.0584880 | ||||||||
\(183\) | −154966. | + | 112589.i | −0.342065 | + | 0.248525i | ||||
\(184\) | −63454.9 | − | 195294.i | −0.138172 | − | 0.425251i | ||||
\(185\) | 232760. | + | 269183.i | 0.500009 | + | 0.578254i | ||||
\(186\) | −32896.8 | + | 101246.i | −0.0697221 | + | 0.214583i | ||||
\(187\) | −76889.9 | − | 236643.i | −0.160792 | − | 0.494868i | ||||
\(188\) | −78112.1 | − | 240404.i | −0.161185 | − | 0.496076i | ||||
\(189\) | 8687.91 | − | 26738.6i | 0.0176913 | − | 0.0544483i | ||||
\(190\) | 106980. | + | 123722.i | 0.214991 | + | 0.248634i | ||||
\(191\) | 161211. | + | 496155.i | 0.319750 | + | 0.984088i | 0.973755 | + | 0.227598i | \(0.0730873\pi\) |
−0.654006 | + | 0.756490i | \(0.726913\pi\) | |||||||
\(192\) | 29823.6 | − | 21668.1i | 0.0583858 | − | 0.0424197i | ||||
\(193\) | −451530. | −0.872556 | −0.436278 | − | 0.899812i | \(-0.643704\pi\) | ||||
−0.436278 | + | 0.899812i | \(0.643704\pi\) | |||||||
\(194\) | 501181. | − | 364129.i | 0.956071 | − | 0.694626i | ||||
\(195\) | 7206.24 | + | 84935.6i | 0.0135713 | + | 0.159957i | ||||
\(196\) | 198302. | + | 144075.i | 0.368711 | + | 0.267884i | ||||
\(197\) | −76516.1 | − | 55592.2i | −0.140471 | − | 0.102058i | 0.515330 | − | 0.856992i | \(-0.327669\pi\) |
−0.655802 | + | 0.754933i | \(0.727669\pi\) | |||||||
\(198\) | −32490.6 | + | 99995.8i | −0.0588972 | + | 0.181267i | ||||
\(199\) | 418289. | 0.748762 | 0.374381 | − | 0.927275i | \(-0.377855\pi\) | ||||
0.374381 | + | 0.927275i | \(0.377855\pi\) | |||||||
\(200\) | 28874.3 | − | 197905.i | 0.0510429 | − | 0.349849i | ||||
\(201\) | 206013. | 0.359671 | ||||||||
\(202\) | 93821.9 | − | 288754.i | 0.161780 | − | 0.497909i | ||||
\(203\) | −60174.9 | − | 43719.6i | −0.102489 | − | 0.0744623i | ||||
\(204\) | −89325.7 | − | 64898.9i | −0.150280 | − | 0.109185i | ||||
\(205\) | 141421. | + | 163551.i | 0.235033 | + | 0.271812i | ||||
\(206\) | 283564. | − | 206021.i | 0.465568 | − | 0.338255i | ||||
\(207\) | 259889. | 0.421563 | ||||||||
\(208\) | −35089.5 | + | 25494.0i | −0.0562366 | + | 0.0408583i | ||||
\(209\) | −73350.8 | − | 225750.i | −0.116155 | − | 0.357489i | ||||
\(210\) | 40148.0 | − | 66421.9i | 0.0628226 | − | 0.103935i | ||||
\(211\) | −278809. | + | 858087.i | −0.431123 | + | 1.32686i | 0.465885 | + | 0.884845i | \(0.345736\pi\) |
−0.897008 | + | 0.442014i | \(0.854264\pi\) | |||||||
\(212\) | 13601.8 | + | 41862.0i | 0.0207853 | + | 0.0639706i | ||||
\(213\) | 94479.3 | + | 290777.i | 0.142688 | + | 0.439149i | ||||
\(214\) | 195788. | − | 602572.i | 0.292248 | − | 0.899445i | ||||
\(215\) | 674908. | − | 284393.i | 0.995746 | − | 0.419587i | ||||
\(216\) | 14417.5 | + | 44372.5i | 0.0210259 | + | 0.0647112i | ||||
\(217\) | −92263.7 | + | 67033.5i | −0.133009 | + | 0.0966369i | ||||
\(218\) | 770461. | 1.09802 | ||||||||
\(219\) | 582955. | − | 423542.i | 0.821343 | − | 0.596741i | ||||
\(220\) | −150144. | + | 248401.i | −0.209146 | + | 0.346017i | ||||
\(221\) | 105098. | + | 76358.0i | 0.144748 | + | 0.105166i | ||||
\(222\) | −185402. | − | 134703.i | −0.252483 | − | 0.183440i | ||||
\(223\) | 180211. | − | 554633.i | 0.242672 | − | 0.746867i | −0.753339 | − | 0.657633i | \(-0.771558\pi\) |
0.996011 | − | 0.0892347i | \(-0.0284421\pi\) | |||||||
\(224\) | 39491.6 | 0.0525878 | ||||||||
\(225\) | 226921. | + | 112156.i | 0.298827 | + | 0.147695i | ||||
\(226\) | 443048. | 0.577005 | ||||||||
\(227\) | −391483. | + | 1.20486e6i | −0.504253 | + | 1.55193i | 0.297769 | + | 0.954638i | \(0.403757\pi\) |
−0.802022 | + | 0.597294i | \(0.796243\pi\) | |||||||
\(228\) | −85214.2 | − | 61911.7i | −0.108561 | − | 0.0788744i | ||||
\(229\) | −962707. | − | 699448.i | −1.21313 | − | 0.881387i | −0.217614 | − | 0.976035i | \(-0.569828\pi\) |
−0.995511 | + | 0.0946478i | \(0.969828\pi\) | |||||||
\(230\) | 698630. | + | 163225.i | 0.870818 | + | 0.203454i | ||||
\(231\) | −91124.7 | + | 66205.9i | −0.112359 | + | 0.0816332i | ||||
\(232\) | 123433. | 0.150561 | ||||||||
\(233\) | −647307. | + | 470296.i | −0.781125 | + | 0.567520i | −0.905316 | − | 0.424738i | \(-0.860366\pi\) |
0.124192 | + | 0.992258i | \(0.460366\pi\) | |||||||
\(234\) | −16963.2 | − | 52207.3i | −0.0202520 | − | 0.0623292i | ||||
\(235\) | 860004. | + | 200927.i | 1.01585 | + | 0.237339i | ||||
\(236\) | 158935. | − | 489152.i | 0.185755 | − | 0.571695i | ||||
\(237\) | 44667.0 | + | 137471.i | 0.0516554 | + | 0.158979i | ||||
\(238\) | −36551.4 | − | 112494.i | −0.0418275 | − | 0.128732i | ||||
\(239\) | 167039. | − | 514094.i | 0.189158 | − | 0.582167i | −0.810838 | − | 0.585271i | \(-0.800988\pi\) |
0.999995 | + | 0.00310395i | \(0.000988018\pi\) | |||||||
\(240\) | 10888.5 | + | 128336.i | 0.0122023 | + | 0.143821i | ||||
\(241\) | 212735. | + | 654731.i | 0.235937 | + | 0.726140i | 0.996996 | + | 0.0774570i | \(0.0246800\pi\) |
−0.761058 | + | 0.648683i | \(0.775320\pi\) | |||||||
\(242\) | −180389. | + | 131060.i | −0.198002 | + | 0.143857i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | 275495. | − | 200159.i | 0.296237 | − | 0.215229i | ||||
\(245\) | −789192. | + | 332549.i | −0.839977 | + | 0.353949i | ||||
\(246\) | −112647. | − | 81842.9i | −0.118681 | − | 0.0862270i | ||||
\(247\) | 100260. | + | 72843.4i | 0.104565 | + | 0.0759710i | ||||
\(248\) | 58483.1 | − | 179993.i | 0.0603811 | − | 0.185834i | ||||
\(249\) | 73330.6 | 0.0749527 | ||||||||
\(250\) | 539567. | + | 444015.i | 0.546003 | + | 0.449311i | ||||
\(251\) | −800739. | −0.802244 | −0.401122 | − | 0.916025i | \(-0.631380\pi\) | ||||
−0.401122 | + | 0.916025i | \(0.631380\pi\) | |||||||
\(252\) | −15445.2 | + | 47535.3i | −0.0153211 | + | 0.0471536i | ||||
\(253\) | −842347. | − | 612001.i | −0.827351 | − | 0.601106i | ||||
\(254\) | −348582. | − | 253260.i | −0.339016 | − | 0.246310i | ||||
\(255\) | 355494. | − | 149798.i | 0.342359 | − | 0.144263i | ||||
\(256\) | −53019.7 | + | 38521.1i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −274035. | −0.258805 | −0.129403 | − | 0.991592i | \(-0.541306\pi\) | ||||
−0.129403 | + | 0.991592i | \(0.541306\pi\) | |||||||
\(258\) | −381568. | + | 277225.i | −0.356880 | + | 0.259289i | ||||
\(259\) | −75865.2 | − | 233489.i | −0.0702737 | − | 0.216280i | ||||
\(260\) | −12811.1 | − | 150997.i | −0.0117531 | − | 0.138527i | ||||
\(261\) | −48274.8 | + | 148574.i | −0.0438651 | + | 0.135003i | ||||
\(262\) | 85820.6 | + | 264129.i | 0.0772393 | + | 0.237718i | ||||
\(263\) | −547709. | − | 1.68567e6i | −0.488270 | − | 1.50274i | −0.827188 | − | 0.561925i | \(-0.810061\pi\) |
0.338918 | − | 0.940816i | \(-0.389939\pi\) | |||||||
\(264\) | 57761.1 | − | 177770.i | 0.0510065 | − | 0.156982i | ||||
\(265\) | −149754. | − | 34987.8i | −0.130997 | − | 0.0306056i | ||||
\(266\) | −34869.0 | − | 107316.i | −0.0302159 | − | 0.0929950i | ||||
\(267\) | −124945. | + | 90777.8i | −0.107261 | + | 0.0779295i | ||||
\(268\) | −366246. | −0.311484 | ||||||||
\(269\) | 371232. | − | 269716.i | 0.312799 | − | 0.227262i | −0.420298 | − | 0.907386i | \(-0.638074\pi\) |
0.733097 | + | 0.680125i | \(0.238074\pi\) | |||||||
\(270\) | −158735. | − | 37086.0i | −0.132514 | − | 0.0309600i | ||||
\(271\) | 1.18473e6 | + | 860755.i | 0.979930 | + | 0.711961i | 0.957693 | − | 0.287792i | \(-0.0929212\pi\) |
0.0222370 | + | 0.999753i | \(0.492921\pi\) | |||||||
\(272\) | 158801. | + | 115376.i | 0.130146 | + | 0.0945568i | ||||
\(273\) | 18172.3 | − | 55928.6i | 0.0147572 | − | 0.0454179i | ||||
\(274\) | −1.07183e6 | −0.862480 | ||||||||
\(275\) | −471382. | − | 897884.i | −0.375873 | − | 0.715960i | ||||
\(276\) | −462025. | −0.365084 | ||||||||
\(277\) | 58050.8 | − | 178662.i | 0.0454579 | − | 0.139905i | −0.925752 | − | 0.378132i | \(-0.876566\pi\) |
0.971209 | + | 0.238228i | \(0.0765664\pi\) | |||||||
\(278\) | 128054. | + | 93036.4i | 0.0993757 | + | 0.0722006i | ||||
\(279\) | 193781. | + | 140790.i | 0.149039 | + | 0.108283i | ||||
\(280\) | −71374.3 | + | 118083.i | −0.0544060 | + | 0.0900106i | ||||
\(281\) | −1.93470e6 | + | 1.40564e6i | −1.46166 | + | 1.06196i | −0.478739 | + | 0.877958i | \(0.658906\pi\) |
−0.982926 | + | 0.184004i | \(0.941094\pi\) | |||||||
\(282\) | −568746. | −0.425888 | ||||||||
\(283\) | −1.13791e6 | + | 826743.i | −0.844585 | + | 0.613627i | −0.923648 | − | 0.383243i | \(-0.874807\pi\) |
0.0790626 | + | 0.996870i | \(0.474807\pi\) | |||||||
\(284\) | −167963. | − | 516938.i | −0.123572 | − | 0.380314i | ||||
\(285\) | 339131. | − | 142903.i | 0.247318 | − | 0.104215i | ||||
\(286\) | −67959.9 | + | 209159.i | −0.0491289 | + | 0.151203i | ||||
\(287\) | −46094.3 | − | 141864.i | −0.0330326 | − | 0.101664i | ||||
\(288\) | −25631.1 | − | 78884.4i | −0.0182090 | − | 0.0560415i | ||||
\(289\) | −257085. | + | 791226.i | −0.181064 | + | 0.557258i | ||||
\(290\) | −223084. | + | 369076.i | −0.155767 | + | 0.257704i | ||||
\(291\) | −430727. | − | 1.32564e6i | −0.298174 | − | 0.917684i | ||||
\(292\) | −1.03636e6 | + | 752963.i | −0.711304 | + | 0.516793i | ||||
\(293\) | −2.56378e6 | −1.74466 | −0.872331 | − | 0.488916i | \(-0.837393\pi\) | ||||
−0.872331 | + | 0.488916i | \(0.837393\pi\) | |||||||
\(294\) | 446179. | − | 324168.i | 0.301052 | − | 0.218727i | ||||
\(295\) | 1.17536e6 | + | 1.35929e6i | 0.786349 | + | 0.909403i | ||||
\(296\) | 329604. | + | 239471.i | 0.218657 | + | 0.158863i | ||||
\(297\) | 191388. | + | 139052.i | 0.125900 | + | 0.0914714i | ||||
\(298\) | 60221.9 | − | 185344.i | 0.0392838 | − | 0.120903i | ||||
\(299\) | 543604. | 0.351645 | ||||||||
\(300\) | −403416. | − | 199388.i | −0.258791 | − | 0.127908i | ||||
\(301\) | −505262. | −0.321440 | ||||||||
\(302\) | −201577. | + | 620391.i | −0.127182 | + | 0.391425i | ||||
\(303\) | −552665. | − | 401535.i | −0.345824 | − | 0.251256i | ||||
\(304\) | 151492. | + | 110065.i | 0.0940168 | + | 0.0683072i | ||||
\(305\) | 100583. | + | 1.18551e6i | 0.0619118 | + | 0.729717i | ||||
\(306\) | −200983. | + | 146023.i | −0.122703 | + | 0.0891490i | ||||
\(307\) | 3.12092e6 | 1.88989 | 0.944946 | − | 0.327227i | \(-0.106114\pi\) | ||||
0.944946 | + | 0.327227i | \(0.106114\pi\) | |||||||
\(308\) | 161999. | − | 117699.i | 0.0973053 | − | 0.0706965i | ||||
\(309\) | −243702. | − | 750037.i | −0.145199 | − | 0.446875i | ||||
\(310\) | 432495. | + | 500175.i | 0.255609 | + | 0.295609i | ||||
\(311\) | 5437.00 | − | 16733.4i | 0.00318756 | − | 0.00981030i | −0.949450 | − | 0.313918i | \(-0.898358\pi\) |
0.952638 | + | 0.304108i | \(0.0983583\pi\) | |||||||
\(312\) | 30156.8 | + | 92812.9i | 0.0175387 | + | 0.0539787i | ||||
\(313\) | −491439. | − | 1.51249e6i | −0.283536 | − | 0.872635i | −0.986834 | − | 0.161739i | \(-0.948290\pi\) |
0.703297 | − | 0.710896i | \(-0.251710\pi\) | |||||||
\(314\) | 99668.2 | − | 306747.i | 0.0570469 | − | 0.175572i | ||||
\(315\) | −114220. | − | 132094.i | −0.0648585 | − | 0.0750080i | ||||
\(316\) | −79407.9 | − | 244392.i | −0.0447349 | − | 0.137680i | ||||
\(317\) | −2.06872e6 | + | 1.50301e6i | −1.15625 | + | 0.840068i | −0.989300 | − | 0.145897i | \(-0.953393\pi\) |
−0.166954 | + | 0.985965i | \(0.553393\pi\) | |||||||
\(318\) | 99036.6 | 0.0549197 | ||||||||
\(319\) | 506338. | − | 367876.i | 0.278589 | − | 0.202407i | ||||
\(320\) | −19357.4 | − | 228154.i | −0.0105675 | − | 0.124553i | ||||
\(321\) | −1.15330e6 | − | 837923.i | −0.624713 | − | 0.453881i | ||||
\(322\) | −400429. | − | 290929.i | −0.215222 | − | 0.156368i | ||||
\(323\) | 173313. | − | 533402.i | 0.0924324 | − | 0.284478i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | 474646. | + | 234594.i | 0.249265 | + | 0.123199i | ||||
\(326\) | 674334. | 0.351424 | ||||||||
\(327\) | 535693. | − | 1.64869e6i | 0.277042 | − | 0.852649i | ||||
\(328\) | 200262. | + | 145499.i | 0.102781 | + | 0.0746748i | ||||
\(329\) | −492923. | − | 358130.i | −0.251067 | − | 0.182411i | ||||
\(330\) | 427155. | + | 493999.i | 0.215924 | + | 0.249713i | ||||
\(331\) | −427731. | + | 310765.i | −0.214586 | + | 0.155906i | −0.689886 | − | 0.723918i | \(-0.742339\pi\) |
0.475300 | + | 0.879824i | \(0.342339\pi\) | |||||||
\(332\) | −130366. | −0.0649109 | ||||||||
\(333\) | −417155. | + | 303081.i | −0.206152 | + | 0.149778i | ||||
\(334\) | −444948. | − | 1.36941e6i | −0.218245 | − | 0.671688i | ||||
\(335\) | 661926. | − | 1.09511e6i | 0.322253 | − | 0.533144i | ||||
\(336\) | 27458.1 | − | 84507.3i | 0.0132685 | − | 0.0408363i | ||||
\(337\) | 193376. | + | 595149.i | 0.0927527 | + | 0.285464i | 0.986662 | − | 0.162785i | \(-0.0520478\pi\) |
−0.893909 | + | 0.448249i | \(0.852048\pi\) | |||||||
\(338\) | 423462. | + | 1.30328e6i | 0.201615 | + | 0.620507i | ||||
\(339\) | 308046. | − | 948068.i | 0.145585 | − | 0.448064i | ||||
\(340\) | −631989. | + | 266307.i | −0.296492 | + | 0.124936i | ||||
\(341\) | −296538. | − | 912651.i | −0.138100 | − | 0.425029i | ||||
\(342\) | −191732. | + | 139301.i | −0.0886399 | + | 0.0644007i | ||||
\(343\) | 1.23900e6 | 0.568638 | ||||||||
\(344\) | 678343. | − | 492845.i | 0.309067 | − | 0.224550i | ||||
\(345\) | 835030. | − | 1.38149e6i | 0.377706 | − | 0.624887i | ||||
\(346\) | 57800.3 | + | 41994.4i | 0.0259561 | + | 0.0188582i | ||||
\(347\) | −1.13554e6 | − | 825020.i | −0.506267 | − | 0.367825i | 0.305139 | − | 0.952308i | \(-0.401297\pi\) |
−0.811406 | + | 0.584483i | \(0.801297\pi\) | |||||||
\(348\) | 85821.8 | − | 264132.i | 0.0379883 | − | 0.116916i | ||||
\(349\) | −211885. | −0.0931189 | −0.0465594 | − | 0.998916i | \(-0.514826\pi\) | ||||
−0.0465594 | + | 0.998916i | \(0.514826\pi\) | |||||||
\(350\) | −224083. | − | 426830.i | −0.0977773 | − | 0.186245i | ||||
\(351\) | −123511. | −0.0535106 | ||||||||
\(352\) | −102686. | + | 316036.i | −0.0441729 | + | 0.135950i | ||||
\(353\) | −1.96235e6 | − | 1.42573e6i | −0.838186 | − | 0.608978i | 0.0836770 | − | 0.996493i | \(-0.473334\pi\) |
−0.921863 | + | 0.387515i | \(0.873334\pi\) | |||||||
\(354\) | −936220. | − | 680204.i | −0.397072 | − | 0.288490i | ||||
\(355\) | 1.84925e6 | + | 432051.i | 0.778798 | + | 0.181955i | ||||
\(356\) | 222124. | − | 161383.i | 0.0928905 | − | 0.0674889i | ||||
\(357\) | −266136. | −0.110518 | ||||||||
\(358\) | −686036. | + | 498434.i | −0.282904 | + | 0.205542i | ||||
\(359\) | 1.09905e6 | + | 3.38254e6i | 0.450073 | + | 1.38518i | 0.876823 | + | 0.480813i | \(0.159658\pi\) |
−0.426750 | + | 0.904370i | \(0.640342\pi\) | |||||||
\(360\) | 282195. | + | 65930.7i | 0.114761 | + | 0.0268121i | ||||
\(361\) | −599821. | + | 1.84606e6i | −0.242244 | + | 0.745552i | ||||
\(362\) | −186804. | − | 574924.i | −0.0749229 | − | 0.230589i | ||||
\(363\) | 155030. | + | 477134.i | 0.0617518 | + | 0.190052i | ||||
\(364\) | −32306.3 | + | 99428.6i | −0.0127801 | + | 0.0393331i | ||||
\(365\) | −378374. | − | 4.45967e6i | −0.148658 | − | 1.75215i | ||||
\(366\) | −236767. | − | 728694.i | −0.0923887 | − | 0.284343i | ||||
\(367\) | 3.35933e6 | − | 2.44069e6i | 1.30193 | − | 0.945906i | 0.301956 | − | 0.953322i | \(-0.402361\pi\) |
0.999973 | + | 0.00741589i | \(0.00236057\pi\) | |||||||
\(368\) | 821378. | 0.316172 | ||||||||
\(369\) | −253456. | + | 184147.i | −0.0969029 | + | 0.0704041i | ||||
\(370\) | −1.31174e6 | + | 552741.i | −0.498131 | + | 0.209902i | ||||
\(371\) | 85833.4 | + | 62361.6i | 0.0323759 | + | 0.0235225i | ||||
\(372\) | −344499. | − | 250293.i | −0.129072 | − | 0.0937761i | ||||
\(373\) | 174617. | − | 537417.i | 0.0649853 | − | 0.200004i | −0.913292 | − | 0.407306i | \(-0.866468\pi\) |
0.978277 | + | 0.207302i | \(0.0664682\pi\) | |||||||
\(374\) | 995284. | 0.367932 | ||||||||
\(375\) | 1.32529e6 | − | 845888.i | 0.486668 | − | 0.310624i | ||||
\(376\) | 1.01110e6 | 0.368830 | ||||||||
\(377\) | −100975. | + | 310770.i | −0.0365899 | + | 0.112612i | ||||
\(378\) | 90980.9 | + | 66101.5i | 0.0327507 | + | 0.0237948i | ||||
\(379\) | −117987. | − | 85722.5i | −0.0421926 | − | 0.0306547i | 0.566489 | − | 0.824069i | \(-0.308301\pi\) |
−0.608682 | + | 0.793415i | \(0.708301\pi\) | |||||||
\(380\) | −602900. | + | 254050.i | −0.214184 | + | 0.0902526i | ||||
\(381\) | −784309. | + | 569834.i | −0.276806 | + | 0.201111i | ||||
\(382\) | −2.08675e6 | −0.731666 | ||||||||
\(383\) | 668313. | − | 485558.i | 0.232800 | − | 0.169139i | −0.465270 | − | 0.885169i | \(-0.654043\pi\) |
0.698070 | + | 0.716030i | \(0.254043\pi\) | |||||||
\(384\) | 45566.4 | + | 140239.i | 0.0157695 | + | 0.0485334i | ||||
\(385\) | 59145.6 | + | 697113.i | 0.0203362 | + | 0.239691i | ||||
\(386\) | 558122. | − | 1.71772e6i | 0.190661 | − | 0.586793i | ||||
\(387\) | 327928. | + | 1.00926e6i | 0.111302 | + | 0.342551i | ||||
\(388\) | 765736. | + | 2.35669e6i | 0.258226 | + | 0.794738i | ||||
\(389\) | −1.02000e6 | + | 3.13923e6i | −0.341763 | + | 1.05184i | 0.621531 | + | 0.783389i | \(0.286511\pi\) |
−0.963294 | + | 0.268448i | \(0.913489\pi\) | |||||||
\(390\) | −332022. | − | 77572.0i | −0.110536 | − | 0.0258252i | ||||
\(391\) | −760225. | − | 2.33973e6i | −0.251478 | − | 0.773970i | ||||
\(392\) | −793207. | + | 576299.i | −0.260718 | + | 0.189423i | ||||
\(393\) | 624873. | 0.204085 | ||||||||
\(394\) | 306065. | − | 222369.i | 0.0993282 | − | 0.0721662i | ||||
\(395\) | 874270. | + | 204260.i | 0.281938 | + | 0.0658706i | ||||
\(396\) | −340246. | − | 247203.i | −0.109032 | − | 0.0792166i | ||||
\(397\) | 3.76947e6 | + | 2.73868e6i | 1.20034 | + | 0.872096i | 0.994318 | − | 0.106451i | \(-0.0339488\pi\) |
0.206020 | + | 0.978548i | \(0.433949\pi\) | |||||||
\(398\) | −517034. | + | 1.59127e6i | −0.163611 | + | 0.503541i | ||||
\(399\) | −253887. | −0.0798376 | ||||||||
\(400\) | 717184. | + | 354468.i | 0.224120 | + | 0.110771i | ||||
\(401\) | 5.08432e6 | 1.57896 | 0.789481 | − | 0.613775i | \(-0.210350\pi\) | ||||
0.789481 | + | 0.613775i | \(0.210350\pi\) | |||||||
\(402\) | −254647. | + | 783722.i | −0.0785910 | + | 0.241878i | ||||
\(403\) | 405327. | + | 294487.i | 0.124321 | + | 0.0903242i | ||||
\(404\) | 982516. | + | 713839.i | 0.299493 | + | 0.217594i | ||||
\(405\) | −189726. | + | 313887.i | −0.0574763 | + | 0.0950902i | ||||
\(406\) | 240700. | − | 174879.i | 0.0724704 | − | 0.0526528i | ||||
\(407\) | 2.06579e6 | 0.618158 | ||||||||
\(408\) | 357303. | − | 259596.i | 0.106264 | − | 0.0772053i | ||||
\(409\) | 814949. | + | 2.50815e6i | 0.240892 | + | 0.741389i | 0.996285 | + | 0.0861170i | \(0.0274459\pi\) |
−0.755393 | + | 0.655272i | \(0.772554\pi\) | |||||||
\(410\) | −796991. | + | 335836.i | −0.234150 | + | 0.0986659i | ||||
\(411\) | −745230. | + | 2.29358e6i | −0.217613 | + | 0.669745i | ||||
\(412\) | 433248. | + | 1.33340e6i | 0.125746 | + | 0.387005i | ||||
\(413\) | −383094. | − | 1.17904e6i | −0.110517 | − | 0.340137i | ||||
\(414\) | −321241. | + | 988677.i | −0.0921149 | + | 0.283500i | ||||
\(415\) | 235613. | − | 389804.i | 0.0671551 | − | 0.111103i | ||||
\(416\) | −53612.0 | − | 165001.i | −0.0151890 | − | 0.0467469i | ||||
\(417\) | 288121. | − | 209332.i | 0.0811399 | − | 0.0589516i | ||||
\(418\) | 949472. | 0.265792 | ||||||||
\(419\) | 2.70692e6 | − | 1.96669e6i | 0.753252 | − | 0.547270i | −0.143581 | − | 0.989639i | \(-0.545862\pi\) |
0.896833 | + | 0.442369i | \(0.145862\pi\) | |||||||
\(420\) | 203058. | + | 234834.i | 0.0561691 | + | 0.0649588i | ||||
\(421\) | 1.19235e6 | + | 866294.i | 0.327868 | + | 0.238210i | 0.739525 | − | 0.673129i | \(-0.235050\pi\) |
−0.411657 | + | 0.911339i | \(0.635050\pi\) | |||||||
\(422\) | −2.91973e6 | − | 2.12131e6i | −0.798107 | − | 0.579859i | ||||
\(423\) | −395443. | + | 1.21705e6i | −0.107456 | + | 0.330717i | ||||
\(424\) | −176065. | −0.0475619 | ||||||||
\(425\) | 345929. | − | 2.37101e6i | 0.0928998 | − | 0.636737i | ||||
\(426\) | −1.22297e6 | −0.326505 | ||||||||
\(427\) | 253644. | − | 780635.i | 0.0673216 | − | 0.207195i | ||||
\(428\) | 2.05032e6 | + | 1.48964e6i | 0.541017 | + | 0.393072i | ||||
\(429\) | 400323. | + | 290852.i | 0.105019 | + | 0.0763006i | ||||
\(430\) | 247661. | + | 2.91903e6i | 0.0645932 | + | 0.761321i | ||||
\(431\) | 926248. | − | 672958.i | 0.240178 | − | 0.174500i | −0.461184 | − | 0.887304i | \(-0.652575\pi\) |
0.701363 | + | 0.712805i | \(0.252575\pi\) | |||||||
\(432\) | −186624. | −0.0481125 | ||||||||
\(433\) | −2.91441e6 | + | 2.11744e6i | −0.747018 | + | 0.542741i | −0.894901 | − | 0.446264i | \(-0.852754\pi\) |
0.147883 | + | 0.989005i | \(0.452754\pi\) | |||||||
\(434\) | −140966. | − | 433850.i | −0.0359246 | − | 0.110564i | ||||
\(435\) | 634670. | + | 733987.i | 0.160814 | + | 0.185980i | ||||
\(436\) | −952342. | + | 2.93101e6i | −0.239926 | + | 0.738416i | ||||
\(437\) | −725233. | − | 2.23204e6i | −0.181666 | − | 0.559111i | ||||
\(438\) | 890676. | + | 2.74122e6i | 0.221837 | + | 0.682745i | ||||
\(439\) | −1.33711e6 | + | 4.11519e6i | −0.331135 | + | 1.01913i | 0.637460 | + | 0.770483i | \(0.279985\pi\) |
−0.968595 | + | 0.248644i | \(0.920015\pi\) | |||||||
\(440\) | −759387. | − | 878221.i | −0.186996 | − | 0.216258i | ||||
\(441\) | −383457. | − | 1.18016e6i | −0.0938901 | − | 0.288964i | ||||
\(442\) | −420391. | + | 305432.i | −0.102352 | + | 0.0743634i | ||||
\(443\) | 5.36861e6 | 1.29973 | 0.649865 | − | 0.760050i | \(-0.274826\pi\) | ||||
0.649865 | + | 0.760050i | \(0.274826\pi\) | |||||||
\(444\) | 741609. | − | 538810.i | 0.178533 | − | 0.129712i | ||||
\(445\) | 81097.1 | + | 955842.i | 0.0194136 | + | 0.228816i | ||||
\(446\) | 1.88720e6 | + | 1.37113e6i | 0.449241 | + | 0.326393i | ||||
\(447\) | −354742. | − | 257735.i | −0.0839738 | − | 0.0610105i | ||||
\(448\) | −48814.4 | + | 150235.i | −0.0114909 | + | 0.0353652i | ||||
\(449\) | −1.62171e6 | −0.379628 | −0.189814 | − | 0.981820i | \(-0.560788\pi\) | ||||
−0.189814 | + | 0.981820i | \(0.560788\pi\) | |||||||
\(450\) | −707156. | + | 724628.i | −0.164621 | + | 0.168688i | ||||
\(451\) | 1.25513e6 | 0.290569 | ||||||||
\(452\) | −547637. | + | 1.68545e6i | −0.126080 | + | 0.388035i | ||||
\(453\) | 1.18741e6 | + | 862701.i | 0.271865 | + | 0.197522i | ||||
\(454\) | −4.09967e6 | − | 2.97858e6i | −0.933489 | − | 0.678219i | ||||
\(455\) | −238912. | − | 276298.i | −0.0541015 | − | 0.0625677i | ||||
\(456\) | 340857. | − | 247647.i | 0.0767644 | − | 0.0557726i | ||||
\(457\) | 1.61866e6 | 0.362548 | 0.181274 | − | 0.983433i | \(-0.441978\pi\) | ||||
0.181274 | + | 0.983433i | \(0.441978\pi\) | |||||||
\(458\) | 3.85083e6 | − | 2.79779e6i | 0.857809 | − | 0.623235i | ||||
\(459\) | 172729. | + | 531606.i | 0.0382679 | + | 0.117776i | ||||
\(460\) | −1.48450e6 | + | 2.45599e6i | −0.327103 | + | 0.541168i | ||||
\(461\) | 298352. | − | 918232.i | 0.0653847 | − | 0.201233i | −0.913027 | − | 0.407899i | \(-0.866261\pi\) |
0.978412 | + | 0.206666i | \(0.0662614\pi\) | |||||||
\(462\) | −139226. | − | 428494.i | −0.0303470 | − | 0.0933984i | ||||
\(463\) | −642603. | − | 1.97773e6i | −0.139312 | − | 0.428760i | 0.856923 | − | 0.515444i | \(-0.172373\pi\) |
−0.996236 | + | 0.0866841i | \(0.972373\pi\) | |||||||
\(464\) | −152572. | + | 469568.i | −0.0328988 | + | 0.101252i | ||||
\(465\) | 1.37102e6 | − | 577720.i | 0.294044 | − | 0.123904i | ||||
\(466\) | −988997. | − | 3.04382e6i | −0.210975 | − | 0.649313i | ||||
\(467\) | −1.85893e6 | + | 1.35059e6i | −0.394430 | + | 0.286570i | −0.767269 | − | 0.641326i | \(-0.778385\pi\) |
0.372838 | + | 0.927896i | \(0.378385\pi\) | |||||||
\(468\) | 219576. | 0.0463415 | ||||||||
\(469\) | −714194. | + | 518892.i | −0.149928 | + | 0.108929i | ||||
\(470\) | −1.82740e6 | + | 3.02329e6i | −0.381582 | + | 0.631299i | ||||
\(471\) | −587103. | − | 426555.i | −0.121944 | − | 0.0885978i | ||||
\(472\) | 1.66439e6 | + | 1.20925e6i | 0.343875 | + | 0.249840i | ||||
\(473\) | 1.31378e6 | − | 4.04341e6i | 0.270005 | − | 0.830989i | ||||
\(474\) | −578181. | −0.118200 | ||||||||
\(475\) | 330007. | − | 2.26187e6i | 0.0671102 | − | 0.459975i | ||||
\(476\) | 473131. | 0.0957115 | ||||||||
\(477\) | 68859.0 | − | 211926.i | 0.0138569 | − | 0.0426470i | ||||
\(478\) | 1.74926e6 | + | 1.27091e6i | 0.350174 | + | 0.254416i | ||||
\(479\) | 4.35473e6 | + | 3.16390e6i | 0.867206 | + | 0.630062i | 0.929836 | − | 0.367975i | \(-0.119949\pi\) |
−0.0626297 | + | 0.998037i | \(0.519949\pi\) | |||||||
\(480\) | −501680. | − | 117210.i | −0.0993856 | − | 0.0232200i | ||||
\(481\) | −872554. | + | 633947.i | −0.171961 | + | 0.124937i | ||||
\(482\) | −2.75370e6 | −0.539883 | ||||||||
\(483\) | −900966. | + | 654590.i | −0.175728 | + | 0.127674i | ||||
\(484\) | −275609. | − | 848238.i | −0.0534786 | − | 0.164590i | ||||
\(485\) | −8.43065e6 | − | 1.96970e6i | −1.62745 | − | 0.380229i | ||||
\(486\) | 72988.6 | − | 224636.i | 0.0140173 | − | 0.0431408i | ||||
\(487\) | −1.53692e6 | − | 4.73015e6i | −0.293649 | − | 0.903758i | −0.983672 | − | 0.179971i | \(-0.942400\pi\) |
0.690023 | − | 0.723787i | \(-0.257600\pi\) | |||||||
\(488\) | 420919. | + | 1.29546e6i | 0.0800109 | + | 0.246248i | ||||
\(489\) | 468856. | − | 1.44299e6i | 0.0886682 | − | 0.272893i | ||||
\(490\) | −289598. | − | 3.41332e6i | −0.0544886 | − | 0.642224i | ||||
\(491\) | 34162.8 | + | 105142.i | 0.00639514 | + | 0.0196822i | 0.954203 | − | 0.299159i | \(-0.0967062\pi\) |
−0.947808 | + | 0.318842i | \(0.896706\pi\) | |||||||
\(492\) | 450588. | − | 327372.i | 0.0839204 | − | 0.0609717i | ||||
\(493\) | 1.47880e6 | 0.274026 | ||||||||
\(494\) | −401041. | + | 291374.i | −0.0739387 | + | 0.0537196i | ||||
\(495\) | 1.35409e6 | − | 570588.i | 0.248391 | − | 0.104667i | ||||
\(496\) | 612443. | + | 444966.i | 0.111779 | + | 0.0812125i | ||||
\(497\) | −1.05992e6 | − | 770080.i | −0.192479 | − | 0.139844i | ||||
\(498\) | −90641.6 | + | 278966.i | −0.0163778 | + | 0.0504056i | ||||
\(499\) | −3.83387e6 | −0.689265 | −0.344632 | − | 0.938738i | \(-0.611996\pi\) | ||||
−0.344632 | + | 0.938738i | \(0.611996\pi\) | |||||||
\(500\) | −2.35607e6 | + | 1.50380e6i | −0.421467 | + | 0.269008i | ||||
\(501\) | −3.23974e6 | −0.576654 | ||||||||
\(502\) | 989768. | − | 3.04619e6i | 0.175297 | − | 0.539508i | ||||
\(503\) | 1.54462e6 | + | 1.12223e6i | 0.272208 | + | 0.197771i | 0.715512 | − | 0.698601i | \(-0.246194\pi\) |
−0.443303 | + | 0.896372i | \(0.646194\pi\) | |||||||
\(504\) | −161744. | − | 117514.i | −0.0283630 | − | 0.0206069i | ||||
\(505\) | −3.91017e6 | + | 1.64766e6i | −0.682286 | + | 0.287502i | ||||
\(506\) | 3.36939e6 | − | 2.44800e6i | 0.585026 | − | 0.425046i | ||||
\(507\) | 3.08329e6 | 0.532715 | ||||||||
\(508\) | 1.39433e6 | − | 1.01304e6i | 0.239721 | − | 0.174167i | ||||
\(509\) | 3.29847e6 | + | 1.01516e7i | 0.564310 | + | 1.73677i | 0.669993 | + | 0.742367i | \(0.266297\pi\) |
−0.105683 | + | 0.994400i | \(0.533703\pi\) | |||||||
\(510\) | 130450. | + | 1.53754e6i | 0.0222085 | + | 0.261759i | ||||
\(511\) | −954163. | + | 2.93661e6i | −0.161648 | + | 0.497501i | ||||
\(512\) | −81007.0 | − | 249314.i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 164779. | + | 507137.i | 0.0276445 | + | 0.0850809i | ||||
\(514\) | 338726. | − | 1.04249e6i | 0.0565511 | − | 0.174046i | ||||
\(515\) | −4.77000e6 | − | 1.11444e6i | −0.792501 | − | 0.185156i | ||||
\(516\) | −582984. | − | 1.79424e6i | −0.0963900 | − | 0.296658i | ||||
\(517\) | 4.14767e6 | − | 3.01346e6i | 0.682461 | − | 0.495837i | ||||
\(518\) | 982019. | 0.160804 | ||||||||
\(519\) | 130051. | − | 94487.3i | 0.0211931 | − | 0.0153977i | ||||
\(520\) | 590261. | + | 137906.i | 0.0957272 | + | 0.0223653i | ||||
\(521\) | 6.36720e6 | + | 4.62604e6i | 1.02767 | + | 0.746646i | 0.967841 | − | 0.251562i | \(-0.0809443\pi\) |
0.0598295 | + | 0.998209i | \(0.480944\pi\) | |||||||
\(522\) | −505540. | − | 367296.i | −0.0812043 | − | 0.0589984i | ||||
\(523\) | 2.24131e6 | − | 6.89803e6i | 0.358300 | − | 1.10273i | −0.595771 | − | 0.803154i | \(-0.703153\pi\) |
0.954071 | − | 0.299580i | \(-0.0968465\pi\) | |||||||
\(524\) | −1.11088e6 | −0.176742 | ||||||||
\(525\) | −1.06917e6 | + | 182739.i | −0.169296 | + | 0.0289357i | ||||
\(526\) | 7.08969e6 | 1.11728 | ||||||||
\(527\) | 700659. | − | 2.15641e6i | 0.109896 | − | 0.338224i | ||||
\(528\) | 604882. | + | 439472.i | 0.0944247 | + | 0.0686036i | ||||
\(529\) | −3.12133e6 | − | 2.26778e6i | −0.484955 | − | 0.352340i | ||||
\(530\) | 318207. | − | 526450.i | 0.0492062 | − | 0.0814080i | ||||
\(531\) | −2.10649e6 | + | 1.53046e6i | −0.324208 | + | 0.235551i | ||||
\(532\) | 451354. | 0.0691414 | ||||||||
\(533\) | −530148. | + | 385175.i | −0.0808312 | + | 0.0587273i | ||||
\(534\) | −190899. | − | 587527.i | −0.0289701 | − | 0.0891609i | ||||
\(535\) | −8.15974e6 | + | 3.43835e6i | −1.23251 | + | 0.519356i | ||||
\(536\) | 452705. | − | 1.39328e6i | 0.0680618 | − | 0.209473i | ||||
\(537\) | 589595. | + | 1.81459e6i | 0.0882304 | + | 0.271545i | ||||
\(538\) | 567193. | + | 1.74564e6i | 0.0844841 | + | 0.260015i | ||||
\(539\) | −1.53625e6 | + | 4.72809e6i | −0.227767 | + | 0.700993i | ||||
\(540\) | 337290. | − | 558021.i | 0.0497760 | − | 0.0823506i | ||||
\(541\) | −2.22108e6 | − | 6.83577e6i | −0.326265 | − | 1.00414i | −0.970866 | − | 0.239621i | \(-0.922977\pi\) |
0.644602 | − | 0.764519i | \(-0.277023\pi\) | |||||||
\(542\) | −4.73891e6 | + | 3.44302e6i | −0.692915 | + | 0.503432i | ||||
\(543\) | −1.36015e6 | −0.197964 | ||||||||
\(544\) | −635205. | + | 461504.i | −0.0920273 | + | 0.0668618i | ||||
\(545\) | −7.04277e6 | − | 8.14487e6i | −1.01567 | − | 1.17461i | ||||
\(546\) | 190303. | + | 138263.i | 0.0273189 | + | 0.0198484i | ||||
\(547\) | −8.33552e6 | − | 6.05611e6i | −1.19114 | − | 0.865417i | −0.197760 | − | 0.980251i | \(-0.563367\pi\) |
−0.993385 | + | 0.114834i | \(0.963367\pi\) | |||||||
\(548\) | 1.32485e6 | − | 4.07748e6i | 0.188459 | − | 0.580016i | ||||
\(549\) | −1.72394e6 | −0.244113 | ||||||||
\(550\) | 3.99842e6 | − | 683399.i | 0.563613 | − | 0.0963313i | ||||
\(551\) | 1.41073e6 | 0.197955 | ||||||||
\(552\) | 571095. | − | 1.75765e6i | 0.0797738 | − | 0.245519i | ||||
\(553\) | −501100. | − | 364071.i | −0.0696806 | − | 0.0506259i | ||||
\(554\) | 607916. | + | 441677.i | 0.0841530 | + | 0.0611407i | ||||
\(555\) | 270759. | + | 3.19128e6i | 0.0373122 | + | 0.439777i | ||||
\(556\) | −512215. | + | 372146.i | −0.0702692 | + | 0.0510536i | ||||
\(557\) | 7.26105e6 | 0.991656 | 0.495828 | − | 0.868421i | \(-0.334865\pi\) | ||||
0.495828 | + | 0.868421i | \(0.334865\pi\) | |||||||
\(558\) | −775123. | + | 563160.i | −0.105387 | + | 0.0765678i | ||||
\(559\) | 685920. | + | 2.11104e6i | 0.0928419 | + | 0.285738i | ||||
\(560\) | −360992. | − | 417483.i | −0.0486438 | − | 0.0562560i | ||||
\(561\) | 692009. | − | 2.12978e6i | 0.0928335 | − | 0.285712i | ||||
\(562\) | −2.95596e6 | − | 9.09750e6i | −0.394782 | − | 1.21501i | ||||
\(563\) | 1.78482e6 | + | 5.49310e6i | 0.237313 | + | 0.730376i | 0.996806 | + | 0.0798598i | \(0.0254473\pi\) |
−0.759493 | + | 0.650516i | \(0.774553\pi\) | |||||||
\(564\) | 703009. | − | 2.16364e6i | 0.0930600 | − | 0.286409i | ||||
\(565\) | −4.04989e6 | − | 4.68365e6i | −0.533731 | − | 0.617253i | ||||
\(566\) | −1.73858e6 | − | 5.35079e6i | −0.228115 | − | 0.702065i | ||||
\(567\) | 204707. | − | 148728.i | 0.0267409 | − | 0.0194284i | ||||
\(568\) | 2.17416e6 | 0.282762 | ||||||||
\(569\) | −1.00949e7 | + | 7.33434e6i | −1.30713 | + | 0.949687i | −0.999998 | − | 0.00198000i | \(-0.999370\pi\) |
−0.307133 | + | 0.951667i | \(0.599370\pi\) | |||||||
\(570\) | 124446. | + | 1.46677e6i | 0.0160433 | + | 0.189093i | ||||
\(571\) | −8.61935e6 | − | 6.26232e6i | −1.10633 | − | 0.803795i | −0.124247 | − | 0.992251i | \(-0.539652\pi\) |
−0.982082 | + | 0.188456i | \(0.939652\pi\) | |||||||
\(572\) | −711685. | − | 517069.i | −0.0909490 | − | 0.0660783i | ||||
\(573\) | −1.45089e6 | + | 4.46539e6i | −0.184607 | + | 0.568163i | ||||
\(574\) | 596658. | 0.0755867 | ||||||||
\(575\) | −4.66064e6 | − | 8.87755e6i | −0.587863 | − | 1.11976i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | 1.27931e6 | − | 3.93733e6i | 0.159970 | − | 0.492336i | −0.838661 | − | 0.544654i | \(-0.816661\pi\) |
0.998630 | + | 0.0523180i | \(0.0166609\pi\) | |||||||
\(578\) | −2.69223e6 | − | 1.95602e6i | −0.335191 | − | 0.243530i | ||||
\(579\) | −3.28766e6 | − | 2.38862e6i | −0.407559 | − | 0.296109i | ||||
\(580\) | −1.12830e6 | − | 1.30487e6i | −0.139269 | − | 0.161063i | ||||
\(581\) | −254218. | + | 184700.i | −0.0312439 | + | 0.0227000i | ||||
\(582\) | 5.57544e6 | 0.682295 | ||||||||
\(583\) | −722240. | + | 524738.i | −0.0880056 | + | 0.0639398i | ||||
\(584\) | −1.58342e6 | − | 4.87328e6i | −0.192117 | − | 0.591274i | ||||
\(585\) | −396845. | + | 656551.i | −0.0479437 | + | 0.0793192i | ||||
\(586\) | 3.16900e6 | − | 9.75319e6i | 0.381223 | − | 1.17328i | ||||
\(587\) | 1.33469e6 | + | 4.10775e6i | 0.159877 | + | 0.492050i | 0.998622 | − | 0.0524738i | \(-0.0167106\pi\) |
−0.838746 | + | 0.544523i | \(0.816711\pi\) | |||||||
\(588\) | 681701. | + | 2.09806e6i | 0.0813112 | + | 0.250250i | ||||
\(589\) | 668409. | − | 2.05715e6i | 0.0793879 | − | 0.244331i | ||||
\(590\) | −6.62386e6 | + | 2.79116e6i | −0.783395 | + | 0.330107i | ||||
\(591\) | −263039. | − | 809551.i | −0.0309779 | − | 0.0953401i | ||||
\(592\) | −1.31842e6 | + | 957885.i | −0.154614 | + | 0.112333i | ||||
\(593\) | 5.02836e6 | 0.587204 | 0.293602 | − | 0.955928i | \(-0.405146\pi\) | ||||
0.293602 | + | 0.955928i | \(0.405146\pi\) | |||||||
\(594\) | −765554. | + | 556207.i | −0.0890245 | + | 0.0646801i | ||||
\(595\) | −855102. | + | 1.41470e6i | −0.0990206 | + | 0.163822i | ||||
\(596\) | 630652. | + | 458196.i | 0.0727234 | + | 0.0528367i | ||||
\(597\) | 3.04563e6 | + | 2.21278e6i | 0.349736 | + | 0.254098i | ||||
\(598\) | −671932. | + | 2.06799e6i | −0.0768373 | + | 0.236481i | ||||
\(599\) | 2.66581e6 | 0.303573 | 0.151786 | − | 0.988413i | \(-0.451497\pi\) | ||||
0.151786 | + | 0.988413i | \(0.451497\pi\) | |||||||
\(600\) | 1.25717e6 | − | 1.28823e6i | 0.142566 | − | 0.146088i | ||||
\(601\) | −1.50698e7 | −1.70185 | −0.850924 | − | 0.525289i | \(-0.823957\pi\) | ||||
−0.850924 | + | 0.525289i | \(0.823957\pi\) | |||||||
\(602\) | 624538. | − | 1.92213e6i | 0.0702373 | − | 0.216168i | ||||
\(603\) | 1.50002e6 | + | 1.08983e6i | 0.167997 | + | 0.122057i | ||||
\(604\) | −2.11094e6 | − | 1.53369e6i | −0.235442 | − | 0.171059i | ||||
\(605\) | 3.03442e6 | + | 708947.i | 0.337044 | + | 0.0787455i | ||||
\(606\) | 2.21066e6 | − | 1.60614e6i | 0.244535 | − | 0.177665i | ||||
\(607\) | 1.35007e7 | 1.48726 | 0.743629 | − | 0.668593i | \(-0.233103\pi\) | ||||
0.743629 | + | 0.668593i | \(0.233103\pi\) | |||||||
\(608\) | −605968. | + | 440261.i | −0.0664799 | + | 0.0483005i | ||||
\(609\) | −206863. | − | 636659.i | −0.0226016 | − | 0.0695606i | ||||
\(610\) | −4.63426e6 | − | 1.08273e6i | −0.504262 | − | 0.117813i | ||||
\(611\) | −827139. | + | 2.54567e6i | −0.0896345 | + | 0.275867i | ||||
\(612\) | −307075. | − | 945078.i | −0.0331410 | − | 0.101997i | ||||
\(613\) | 4.59560e6 | + | 1.41438e7i | 0.493959 | + | 1.52025i | 0.818573 | + | 0.574403i | \(0.194766\pi\) |
−0.324614 | + | 0.945847i | \(0.605234\pi\) | |||||||
\(614\) | −3.85767e6 | + | 1.18727e7i | −0.412956 | + | 1.27095i | ||||
\(615\) | 164509. | + | 1.93896e6i | 0.0175388 | + | 0.206720i | ||||
\(616\) | 247513. | + | 761767.i | 0.0262813 | + | 0.0808854i | ||||
\(617\) | −8.63189e6 | + | 6.27143e6i | −0.912836 | + | 0.663214i | −0.941731 | − | 0.336368i | \(-0.890801\pi\) |
0.0288943 | + | 0.999582i | \(0.490801\pi\) | |||||||
\(618\) | 3.15454e6 | 0.332250 | ||||||||
\(619\) | −1.07307e7 | + | 7.79630e6i | −1.12564 | + | 0.817827i | −0.985055 | − | 0.172241i | \(-0.944899\pi\) |
−0.140588 | + | 0.990068i | \(0.544899\pi\) | |||||||
\(620\) | −2.43737e6 | + | 1.02706e6i | −0.254649 | + | 0.107304i | ||||
\(621\) | 1.89229e6 | + | 1.37483e6i | 0.196906 | + | 0.143061i | ||||
\(622\) | 56937.0 | + | 41367.2i | 0.00590091 | + | 0.00428726i | ||||
\(623\) | 204506. | − | 629405.i | 0.0211099 | − | 0.0649696i | ||||
\(624\) | −390357. | −0.0401329 | ||||||||
\(625\) | −238298. | − | 9.76272e6i | −0.0244018 | − | 0.999702i | ||||
\(626\) | 6.36132e6 | 0.648801 | ||||||||
\(627\) | 660157. | − | 2.03175e6i | 0.0670623 | − | 0.206396i | ||||
\(628\) | 1.04374e6 | + | 758321.i | 0.105607 | + | 0.0767280i | ||||
\(629\) | 3.94883e6 | + | 2.86900e6i | 0.397963 | + | 0.289137i | ||||
\(630\) | 643700. | − | 271242.i | 0.0646148 | − | 0.0272274i | ||||
\(631\) | −1.06892e7 | + | 7.76616e6i | −1.06874 | + | 0.776485i | −0.975685 | − | 0.219176i | \(-0.929663\pi\) |
−0.0930545 | + | 0.995661i | \(0.529663\pi\) | |||||||
\(632\) | 1.02788e6 | 0.102364 | ||||||||
\(633\) | −6.56939e6 | + | 4.77294e6i | −0.651652 | + | 0.473453i | ||||
\(634\) | −3.16072e6 | − | 9.72770e6i | −0.312293 | − | 0.961140i | ||||
\(635\) | 509065. | + | 6.00005e6i | 0.0501002 | + | 0.590501i | ||||
\(636\) | −122416. | + | 376758.i | −0.0120004 | + | 0.0369334i | ||||
\(637\) | −802068. | − | 2.46851e6i | −0.0783182 | − | 0.241039i | ||||
\(638\) | 773616. | + | 2.38095e6i | 0.0752443 | + | 0.231578i | ||||
\(639\) | −850314. | + | 2.61700e6i | −0.0823810 | + | 0.253543i | ||||
\(640\) | 891875. | + | 208374.i | 0.0860705 | + | 0.0201091i | ||||
\(641\) | −4.89356e6 | − | 1.50608e7i | −0.470414 | − | 1.44778i | −0.852044 | − | 0.523469i | \(-0.824637\pi\) |
0.381631 | − | 0.924315i | \(-0.375363\pi\) | |||||||
\(642\) | 4.61321e6 | − | 3.35169e6i | 0.441739 | − | 0.320942i | ||||
\(643\) | 137424. | 0.0131080 | 0.00655398 | − | 0.999979i | \(-0.497914\pi\) | ||||
0.00655398 | + | 0.999979i | \(0.497914\pi\) | |||||||
\(644\) | 1.60172e6 | − | 1.16372e6i | 0.152185 | − | 0.110569i | ||||
\(645\) | 6.41857e6 | + | 1.49960e6i | 0.607490 | + | 0.141931i | ||||
\(646\) | 1.81496e6 | + | 1.31864e6i | 0.171114 | + | 0.124321i | ||||
\(647\) | 1.07230e7 | + | 7.79072e6i | 1.00706 | + | 0.731673i | 0.963591 | − | 0.267382i | \(-0.0861584\pi\) |
0.0434709 | + | 0.999055i | \(0.486158\pi\) | |||||||
\(648\) | −129757. | + | 399352.i | −0.0121393 | + | 0.0373610i | ||||
\(649\) | 1.04315e7 | 0.972157 | ||||||||
\(650\) | −1.47914e6 | + | 1.51569e6i | −0.137318 | + | 0.140710i | ||||
\(651\) | −1.02640e6 | −0.0949213 | ||||||||
\(652\) | −833522. | + | 2.56532e6i | −0.0767889 | + | 0.236332i | ||||
\(653\) | −1.07331e7 | − | 7.79808e6i | −0.985017 | − | 0.715657i | −0.0261927 | − | 0.999657i | \(-0.508338\pi\) |
−0.958824 | + | 0.284000i | \(0.908338\pi\) | |||||||
\(654\) | 5.60985e6 | + | 4.07579e6i | 0.512869 | + | 0.372621i | ||||
\(655\) | 2.00773e6 | − | 3.32164e6i | 0.182853 | − | 0.302517i | ||||
\(656\) | −801046. | + | 581994.i | −0.0726772 | + | 0.0528030i | ||||
\(657\) | 6.48515e6 | 0.586147 | ||||||||
\(658\) | 1.97169e6 | − | 1.43252e6i | 0.177531 | − | 0.128984i | ||||
\(659\) | 5.95170e6 | + | 1.83174e7i | 0.533860 | + | 1.64305i | 0.746100 | + | 0.665834i | \(0.231924\pi\) |
−0.212240 | + | 0.977218i | \(0.568076\pi\) | |||||||
\(660\) | −2.40728e6 | + | 1.01438e6i | −0.215113 | + | 0.0906442i | ||||
\(661\) | 1.86034e6 | − | 5.72553e6i | 0.165611 | − | 0.509697i | −0.833470 | − | 0.552564i | \(-0.813649\pi\) |
0.999081 | + | 0.0428676i | \(0.0136494\pi\) | |||||||
\(662\) | −653515. | − | 2.01131e6i | −0.0579576 | − | 0.178375i | ||||
\(663\) | 361294. | + | 1.11195e6i | 0.0319210 | + | 0.0982429i | ||||
\(664\) | 161141. | − | 495940.i | 0.0141836 | − | 0.0436525i | ||||
\(665\) | −815743. | + | 1.34959e6i | −0.0715319 | + | 0.118344i | ||||
\(666\) | −637356. | − | 1.96158e6i | −0.0556797 | − | 0.171364i | ||||
\(667\) | 5.00626e6 | − | 3.63726e6i | 0.435711 | − | 0.316563i | ||||
\(668\) | 5.75953e6 | 0.499397 | ||||||||
\(669\) | 4.24619e6 | − | 3.08504e6i | 0.366804 | − | 0.266499i | ||||
\(670\) | 3.34785e6 | + | 3.87174e6i | 0.288124 | + | 0.333211i | ||||
\(671\) | 5.58759e6 | + | 4.05962e6i | 0.479091 | + | 0.348080i | ||||
\(672\) | 287545. | + | 208913.i | 0.0245630 | + | 0.0178461i | ||||
\(673\) | −1.64736e6 | + | 5.07005e6i | −0.140201 | + | 0.431494i | −0.996363 | − | 0.0852140i | \(-0.972843\pi\) |
0.856162 | + | 0.516708i | \(0.172843\pi\) | |||||||
\(674\) | −2.50311e6 | −0.212241 | ||||||||
\(675\) | 1.05894e6 | + | 2.01705e6i | 0.0894563 | + | 0.170395i | ||||
\(676\) | −5.48141e6 | −0.461344 | ||||||||
\(677\) | −5.09121e6 | + | 1.56691e7i | −0.426923 | + | 1.31393i | 0.474218 | + | 0.880407i | \(0.342731\pi\) |
−0.901141 | + | 0.433526i | \(0.857269\pi\) | |||||||
\(678\) | 3.22590e6 | + | 2.34375e6i | 0.269511 | + | 0.195811i | ||||
\(679\) | 4.83214e6 | + | 3.51076e6i | 0.402222 | + | 0.292231i | ||||
\(680\) | −231912. | − | 2.73340e6i | −0.0192332 | − | 0.226690i | ||||
\(681\) | −9.22425e6 | + | 6.70181e6i | −0.762190 | + | 0.553764i | ||||
\(682\) | 3.83847e6 | 0.316008 | ||||||||
\(683\) | 1.25551e7 | − | 9.12179e6i | 1.02983 | − | 0.748219i | 0.0615589 | − | 0.998103i | \(-0.480393\pi\) |
0.968276 | + | 0.249885i | \(0.0803928\pi\) | |||||||
\(684\) | −292940. | − | 901578.i | −0.0239408 | − | 0.0736823i | ||||
\(685\) | 9.79756e6 | + | 1.13308e7i | 0.797796 | + | 0.922640i | ||||
\(686\) | −1.53149e6 | + | 4.71343e6i | −0.124252 | + | 0.382408i | ||||
\(687\) | −3.30949e6 | − | 1.01856e7i | −0.267528 | − | 0.823367i | ||||
\(688\) | 1.03642e6 | + | 3.18976e6i | 0.0834762 | + | 0.256913i | ||||
\(689\) | 144031. | − | 443281.i | 0.0115587 | − | 0.0355739i | ||||
\(690\) | 4.22336e6 | + | 4.88426e6i | 0.337704 | + | 0.390550i | ||||
\(691\) | −6.22860e6 | − | 1.91697e7i | −0.496244 | − | 1.52728i | −0.815009 | − | 0.579448i | \(-0.803268\pi\) |
0.318765 | − | 0.947834i | \(-0.396732\pi\) | |||||||
\(692\) | −231201. | + | 167977.i | −0.0183538 | + | 0.0133348i | ||||
\(693\) | −1.01373e6 | −0.0801840 | ||||||||
\(694\) | 4.54217e6 | − | 3.30008e6i | 0.357985 | − | 0.260091i | ||||
\(695\) | −187008. | − | 2.20415e6i | −0.0146858 | − | 0.173093i | ||||
\(696\) | 898737. | + | 652971.i | 0.0703250 | + | 0.0510941i | ||||
\(697\) | 2.39924e6 | + | 1.74315e6i | 0.187065 | + | 0.135911i | ||||
\(698\) | 261905. | − | 806060.i | 0.0203472 | − | 0.0626223i | ||||
\(699\) | −7.20104e6 | −0.557445 | ||||||||
\(700\) | 1.90074e6 | − | 324870.i | 0.146615 | − | 0.0250590i | ||||
\(701\) | 7.70849e6 | 0.592481 | 0.296240 | − | 0.955113i | \(-0.404267\pi\) | ||||
0.296240 | + | 0.955113i | \(0.404267\pi\) | |||||||
\(702\) | 152669. | − | 469865.i | 0.0116925 | − | 0.0359858i | ||||
\(703\) | 3.76707e6 | + | 2.73694e6i | 0.287485 | + | 0.208870i | ||||
\(704\) | −1.07535e6 | − | 781284.i | −0.0817742 | − | 0.0594124i | ||||
\(705\) | 5.19890e6 | + | 6.01246e6i | 0.393948 | + | 0.455595i | ||||
\(706\) | 7.84942e6 | − | 5.70294e6i | 0.592687 | − | 0.430613i | ||||
\(707\) | 2.92730e6 | 0.220251 | ||||||||
\(708\) | 3.74488e6 | − | 2.72081e6i | 0.280773 | − | 0.203993i | ||||
\(709\) | 256284. | + | 788761.i | 0.0191472 | + | 0.0589291i | 0.960174 | − | 0.279404i | \(-0.0901369\pi\) |
−0.941026 | + | 0.338333i | \(0.890137\pi\) | |||||||
\(710\) | −3.92942e6 | + | 6.50093e6i | −0.292538 | + | 0.483982i | ||||
\(711\) | −402003. | + | 1.23724e6i | −0.0298232 | + | 0.0917865i | ||||
\(712\) | 339376. | + | 1.04449e6i | 0.0250889 | + | 0.0772156i | ||||
\(713\) | −2.93193e6 | − | 9.02355e6i | −0.215988 | − | 0.664743i | ||||
\(714\) | 328963. | − | 1.01244e6i | 0.0241491 | − | 0.0743233i | ||||
\(715\) | 2.83233e6 | − | 1.19349e6i | 0.207195 | − | 0.0873076i | ||||
\(716\) | −1.04817e6 | − | 3.22593e6i | −0.0764098 | − | 0.235165i | ||||
\(717\) | 3.93583e6 | − | 2.85955e6i | 0.285916 | − | 0.207730i | ||||
\(718\) | −1.42265e7 | −1.02988 | ||||||||
\(719\) | −584749. | + | 424845.i | −0.0421839 | + | 0.0306484i | −0.608677 | − | 0.793418i | \(-0.708300\pi\) |
0.566493 | + | 0.824066i | \(0.308300\pi\) | |||||||
\(720\) | −599627. | + | 992038.i | −0.0431072 | + | 0.0713177i | ||||
\(721\) | 2.73399e6 | + | 1.98636e6i | 0.195866 | + | 0.142305i | ||||
\(722\) | −6.28141e6 | − | 4.56371e6i | −0.448450 | − | 0.325818i | ||||
\(723\) | −1.91462e6 | + | 5.89258e6i | −0.136218 | + | 0.419237i | ||||
\(724\) | 2.41804e6 | 0.171442 | ||||||||
\(725\) | 5.94087e6 | − | 1.01540e6i | 0.419764 | − | 0.0717450i | ||||
\(726\) | −2.00675e6 | −0.141303 | ||||||||
\(727\) | −2.93651e6 | + | 9.03765e6i | −0.206061 | + | 0.634190i | 0.793607 | + | 0.608430i | \(0.208201\pi\) |
−0.999668 | + | 0.0257599i | \(0.991799\pi\) | |||||||
\(728\) | −338316. | − | 245801.i | −0.0236589 | − | 0.0171892i | ||||
\(729\) | −429945. | − | 312373.i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 1.74333e7 | + | 4.07303e6i | 1.21080 | + | 0.282885i | ||||
\(731\) | 8.12691e6 | − | 5.90455e6i | 0.562512 | − | 0.408689i | ||||
\(732\) | 3.06478e6 | 0.211408 | ||||||||
\(733\) | −1.08864e7 | + | 7.90946e6i | −0.748386 | + | 0.543735i | −0.895326 | − | 0.445411i | \(-0.853058\pi\) |
0.146940 | + | 0.989145i | \(0.453058\pi\) | |||||||
\(734\) | 5.13259e6 | + | 1.57965e7i | 0.351639 | + | 1.08223i | ||||
\(735\) | −7.50543e6 | − | 1.75353e6i | −0.512457 | − | 0.119728i | ||||
\(736\) | −1.01528e6 | + | 3.12471e6i | −0.0690861 | + | 0.212625i | ||||
\(737\) | −2.29544e6 | − | 7.06464e6i | −0.155667 | − | 0.479095i | ||||
\(738\) | −387246. | − | 1.19182e6i | −0.0261726 | − | 0.0805509i | ||||
\(739\) | 3.78668e6 | − | 1.16542e7i | 0.255063 | − | 0.785003i | −0.738754 | − | 0.673975i | \(-0.764586\pi\) |
0.993817 | − | 0.111028i | \(-0.0354144\pi\) | |||||||
\(740\) | −481350. | − | 5.67338e6i | −0.0323133 | − | 0.380858i | ||||
\(741\) | 344664. | + | 1.06077e6i | 0.0230596 | + | 0.0709700i | ||||
\(742\) | −343334. | + | 249446.i | −0.0228932 | + | 0.0166329i | ||||
\(743\) | 2.25508e7 | 1.49861 | 0.749307 | − | 0.662223i | \(-0.230387\pi\) | ||||
0.749307 | + | 0.662223i | \(0.230387\pi\) | |||||||
\(744\) | 1.37800e6 | − | 1.00117e6i | 0.0912675 | − | 0.0663097i | ||||
\(745\) | −2.50984e6 | + | 1.05759e6i | −0.165674 | + | 0.0698117i | ||||
\(746\) | 1.82862e6 | + | 1.32857e6i | 0.120303 | + | 0.0874050i | ||||
\(747\) | 533932. | + | 387924.i | 0.0350094 | + | 0.0254358i | ||||
\(748\) | −1.23024e6 | + | 3.78628e6i | −0.0803961 | + | 0.247434i | ||||
\(749\) | 6.10869e6 | 0.397872 | ||||||||
\(750\) | 1.57980e6 | + | 6.08728e6i | 0.102553 | + | 0.395158i | ||||
\(751\) | −1.87251e7 | −1.21150 | −0.605751 | − | 0.795654i | \(-0.707127\pi\) | ||||
−0.605751 | + | 0.795654i | \(0.707127\pi\) | |||||||
\(752\) | −1.24979e6 | + | 3.84647e6i | −0.0805924 | + | 0.248038i | ||||
\(753\) | −5.83030e6 | − | 4.23596e6i | −0.374717 | − | 0.272248i | ||||
\(754\) | −1.05743e6 | − | 768265.i | −0.0677363 | − | 0.0492133i | ||||
\(755\) | 8.40103e6 | − | 3.54002e6i | 0.536371 | − | 0.226016i | ||||
\(756\) | −363924. | + | 264406.i | −0.0231583 | + | 0.0168255i | ||||
\(757\) | 2.05326e7 | 1.30228 | 0.651140 | − | 0.758958i | \(-0.274291\pi\) | ||||
0.651140 | + | 0.758958i | \(0.274291\pi\) | |||||||
\(758\) | 471948. | − | 342890.i | 0.0298346 | − | 0.0216761i | ||||
\(759\) | −2.89573e6 | − | 8.91215e6i | −0.182454 | − | 0.561536i | ||||
\(760\) | −221237. | − | 2.60759e6i | −0.0138939 | − | 0.163759i | ||||
\(761\) | −1.04534e6 | + | 3.21724e6i | −0.0654331 | + | 0.201382i | −0.978428 | − | 0.206589i | \(-0.933764\pi\) |
0.912995 | + | 0.407971i | \(0.133764\pi\) | |||||||
\(762\) | −1.19832e6 | − | 3.68804e6i | −0.0747626 | − | 0.230096i | ||||
\(763\) | 2.29551e6 | + | 7.06484e6i | 0.142747 | + | 0.439330i | ||||
\(764\) | 2.57937e6 | − | 7.93848e6i | 0.159875 | − | 0.492044i | ||||
\(765\) | 3.38085e6 | + | 789886.i | 0.208868 | + | 0.0487990i | ||||
\(766\) | 1.02109e6 | + | 3.14260e6i | 0.0628772 | + | 0.193516i | ||||
\(767\) | −4.40611e6 | + | 3.20122e6i | −0.270437 | + | 0.196484i | ||||
\(768\) | −589824. | −0.0360844 | ||||||||
\(769\) | 5.83769e6 | − | 4.24133e6i | 0.355979 | − | 0.258634i | −0.395394 | − | 0.918512i | \(-0.629392\pi\) |
0.751373 | + | 0.659878i | \(0.229392\pi\) | |||||||
\(770\) | −2.72508e6 | − | 636676.i | −0.165635 | − | 0.0386983i | ||||
\(771\) | −1.99529e6 | − | 1.44966e6i | −0.120884 | − | 0.0878277i | ||||
\(772\) | 5.84473e6 | + | 4.24644e6i | 0.352956 | + | 0.256438i | ||||
\(773\) | 7.26727e6 | − | 2.23663e7i | 0.437444 | − | 1.34631i | −0.453118 | − | 0.891451i | \(-0.649688\pi\) |
0.890561 | − | 0.454863i | \(-0.150312\pi\) | |||||||
\(774\) | −4.24479e6 | −0.254685 | ||||||||
\(775\) | 1.33413e6 | − | 9.14417e6i | 0.0797893 | − | 0.546878i | ||||
\(776\) | −9.91190e6 | −0.590884 | ||||||||
\(777\) | 682786. | − | 2.10140e6i | 0.0405726 | − | 0.124869i | ||||
\(778\) | −1.06815e7 | − | 7.76060e6i | −0.632681 | − | 0.459670i | ||||
\(779\) | 2.28881e6 | + | 1.66292e6i | 0.135134 | + | 0.0981809i | ||||
\(780\) | 705503. | − | 1.16720e6i | 0.0415205 | − | 0.0686925i | ||||
\(781\) | 8.91867e6 | − | 6.47979e6i | 0.523206 | − | 0.380131i | ||||
\(782\) | 9.84055e6 | 0.575443 | ||||||||
\(783\) | −1.13746e6 | + | 826416.i | −0.0663030 | + | 0.0481720i | ||||
\(784\) | −1.21191e6 | − | 3.72988e6i | −0.0704176 | − | 0.216723i | ||||
\(785\) | −4.15382e6 | + | 1.75033e6i | −0.240588 | + | 0.101379i | ||||
\(786\) | −772385. | + | 2.37716e6i | −0.0445941 | + | 0.137247i | ||||
\(787\) | −6.54125e6 | − | 2.01319e7i | −0.376465 | − | 1.15864i | −0.942485 | − | 0.334248i | \(-0.891518\pi\) |
0.566021 | − | 0.824391i | \(-0.308482\pi\) | |||||||
\(788\) | 467625. | + | 1.43920e6i | 0.0268276 | + | 0.0825669i | ||||
\(789\) | 4.92938e6 | − | 1.51711e7i | 0.281903 | − | 0.867608i | ||||
\(790\) | −1.85771e6 | + | 3.07344e6i | −0.105903 | + | 0.175209i | ||||
\(791\) | 1.32001e6 | + | 4.06258e6i | 0.0750131 | + | 0.230867i | ||||
\(792\) | 1.36098e6 | − | 988813.i | 0.0770975 | − | 0.0560146i | ||||
\(793\) | −3.60592e6 | −0.203626 | ||||||||
\(794\) | −1.50779e7 | + | 1.09547e7i | −0.848767 | + | 0.616665i | ||||
\(795\) | −905292. | − | 1.04696e6i | −0.0508008 | − | 0.0587505i | ||||
\(796\) | −5.41445e6 | − | 3.93383e6i | −0.302881 | − | 0.220056i | ||||
\(797\) | 5.45172e6 | + | 3.96090e6i | 0.304010 | + | 0.220876i | 0.729322 | − | 0.684171i | \(-0.239836\pi\) |
−0.425312 | + | 0.905047i | \(0.639836\pi\) | |||||||
\(798\) | 313821. | − | 965842.i | 0.0174452 | − | 0.0536907i | ||||
\(799\) | 1.21136e7 | 0.671283 | ||||||||
\(800\) | −2.23496e6 | + | 2.29018e6i | −0.123465 | + | 0.126516i | ||||
\(801\) | −1.38996e6 | −0.0765460 | ||||||||
\(802\) | −6.28456e6 | + | 1.93419e7i | −0.345016 | + | 1.06185i | ||||
\(803\) | −2.10195e7 | − | 1.52716e7i | −1.15036 | − | 0.835786i | ||||
\(804\) | −2.66669e6 | − | 1.93747e6i | −0.145490 | − | 0.105705i | ||||
\(805\) | 584783. | + | 6.89249e6i | 0.0318057 | + | 0.374875i | ||||
\(806\) | −1.62131e6 | + | 1.17795e6i | −0.0879079 | + | 0.0638688i | ||||
\(807\) | 4.12982e6 | 0.223227 | ||||||||
\(808\) | −3.93006e6 | + | 2.85536e6i | −0.211773 | + | 0.153862i | ||||
\(809\) | −2.86716e6 | − | 8.82422e6i | −0.154021 | − | 0.474029i | 0.844039 | − | 0.536282i | \(-0.180172\pi\) |
−0.998060 | + | 0.0622526i | \(0.980172\pi\) | |||||||
\(810\) | −959583. | − | 1.10975e6i | −0.0513890 | − | 0.0594307i | ||||
\(811\) | −6.92725e6 | + | 2.13199e7i | −0.369835 | + | 1.13824i | 0.577062 | + | 0.816700i | \(0.304199\pi\) |
−0.946897 | + | 0.321536i | \(0.895801\pi\) | |||||||
\(812\) | 367756. | + | 1.13184e6i | 0.0195736 | + | 0.0602413i | ||||
\(813\) | 4.07273e6 | + | 1.25346e7i | 0.216102 | + | 0.665094i | ||||
\(814\) | −2.55345e6 | + | 7.85871e6i | −0.135072 | + | 0.415710i | ||||
\(815\) | −6.16407e6 | − | 7.12867e6i | −0.325068 | − | 0.375936i | ||||
\(816\) | 545910. | + | 1.68014e6i | 0.0287009 | + | 0.0883324i | ||||
\(817\) | 7.75284e6 | − | 5.63277e6i | 0.406355 | − | 0.295234i | ||||
\(818\) | −1.05489e7 | −0.551220 | ||||||||
\(819\) | 428181. | − | 311092.i | 0.0223058 | − | 0.0162061i | ||||
\(820\) | −292460. | − | 3.44705e6i | −0.0151891 | − | 0.179025i | ||||
\(821\) | 1.17564e7 | + | 8.54154e6i | 0.608720 | + | 0.442261i | 0.848963 | − | 0.528452i | \(-0.177227\pi\) |
−0.240243 | + | 0.970713i | \(0.577227\pi\) | |||||||
\(822\) | −7.80415e6 | − | 5.67005e6i | −0.402852 | − | 0.292689i | ||||
\(823\) | −8.13025e6 | + | 2.50223e7i | −0.418412 | + | 1.28774i | 0.490751 | + | 0.871300i | \(0.336722\pi\) |
−0.909163 | + | 0.416440i | \(0.863278\pi\) | |||||||
\(824\) | −5.60807e6 | −0.287737 | ||||||||
\(825\) | 1.31766e6 | − | 9.03128e6i | 0.0674014 | − | 0.461971i | ||||
\(826\) | 4.95887e6 | 0.252891 | ||||||||
\(827\) | −6.23190e6 | + | 1.91798e7i | −0.316852 | + | 0.975170i | 0.658133 | + | 0.752901i | \(0.271346\pi\) |
−0.974985 | + | 0.222269i | \(0.928654\pi\) | |||||||
\(828\) | −3.36408e6 | − | 2.44414e6i | −0.170526 | − | 0.123894i | ||||
\(829\) | 9.15794e6 | + | 6.65364e6i | 0.462820 | + | 0.336258i | 0.794636 | − | 0.607086i | \(-0.207662\pi\) |
−0.331817 | + | 0.943344i | \(0.607662\pi\) | |||||||
\(830\) | 1.19167e6 | + | 1.37815e6i | 0.0600427 | + | 0.0694386i | ||||
\(831\) | 1.36781e6 | − | 993773.i | 0.0687106 | − | 0.0499212i | ||||
\(832\) | 693968. | 0.0347561 | ||||||||
\(833\) | −9.50305e6 | + | 6.90437e6i | −0.474516 | + | 0.344756i | ||||
\(834\) | 440209. | + | 1.35483e6i | 0.0219151 | + | 0.0674478i | ||||
\(835\) | −1.04094e7 | + | 1.72215e7i | −0.516663 | + | 0.854780i | ||||
\(836\) | −1.17361e6 | + | 3.61201e6i | −0.0580776 | + | 0.178745i | ||||
\(837\) | 666159. | + | 2.05023e6i | 0.0328673 | + | 0.101155i | ||||
\(838\) | 4.13581e6 | + | 1.27287e7i | 0.203446 | + | 0.626144i | ||||
\(839\) | 3.47064e6 | − | 1.06815e7i | 0.170218 | − | 0.523877i | −0.829165 | − | 0.559004i | \(-0.811184\pi\) |
0.999383 | + | 0.0351272i | \(0.0111837\pi\) | |||||||
\(840\) | −1.14436e6 | + | 482208.i | −0.0559581 | + | 0.0235796i | ||||
\(841\) | −5.18885e6 | − | 1.59696e7i | −0.252977 | − | 0.778583i | ||||
\(842\) | −4.76941e6 | + | 3.46518e6i | −0.231838 | + | 0.168440i | ||||
\(843\) | −2.15228e7 | −1.04311 | ||||||||
\(844\) | 1.16789e7 | − | 8.48523e6i | 0.564347 | − | 0.410022i | ||||
\(845\) | 9.90669e6 | − | 1.63899e7i | 0.477295 | − | 0.789648i | ||||
\(846\) | −4.14113e6 | − | 3.00871e6i | −0.198927 | − | 0.144529i | ||||
\(847\) | −1.73922e6 | − | 1.26362e6i | −0.0833001 | − | 0.0605211i | ||||
\(848\) | 217628. | − | 669792.i | 0.0103926 | − | 0.0319853i | ||||
\(849\) | −1.26589e7 | −0.602733 | ||||||||
\(850\) | 8.59225e6 | + | 4.24672e6i | 0.407905 | + | 0.201607i | ||||
\(851\) | 2.04248e7 | 0.966794 | ||||||||
\(852\) | 1.51167e6 | − | 4.65244e6i | 0.0713440 | − | 0.219574i | ||||
\(853\) | 1.82589e7 | + | 1.32658e7i | 0.859213 | + | 0.624255i | 0.927671 | − | 0.373399i | \(-0.121808\pi\) |
−0.0684576 | + | 0.997654i | \(0.521808\pi\) | |||||||
\(854\) | 2.65619e6 | + | 1.92984e6i | 0.124628 | + | 0.0905474i | ||||
\(855\) | 3.22523e6 | + | 753528.i | 0.150885 | + | 0.0352521i | ||||
\(856\) | −8.20126e6 | + | 5.95856e6i | −0.382557 | + | 0.277944i | ||||
\(857\) | −1.45528e7 | −0.676853 | −0.338427 | − | 0.940993i | \(-0.609895\pi\) | ||||
−0.338427 | + | 0.940993i | \(0.609895\pi\) | |||||||
\(858\) | −1.60129e6 | + | 1.16341e6i | −0.0742595 | + | 0.0539527i | ||||
\(859\) | −8.97277e6 | − | 2.76153e7i | −0.414900 | − | 1.27693i | −0.912340 | − | 0.409433i | \(-0.865727\pi\) |
0.497440 | − | 0.867498i | \(-0.334273\pi\) | |||||||
\(860\) | −1.14108e7 | − | 2.66596e6i | −0.526101 | − | 0.122916i | ||||
\(861\) | 414849. | − | 1.27677e6i | 0.0190714 | − | 0.0586957i | ||||
\(862\) | 1.41518e6 | + | 4.35548e6i | 0.0648700 | + | 0.199649i | ||||
\(863\) | −1.02484e7 | − | 3.15412e7i | −0.468412 | − | 1.44162i | −0.854640 | − | 0.519220i | \(-0.826222\pi\) |
0.386229 | − | 0.922403i | \(-0.373778\pi\) | |||||||
\(864\) | 230680. | − | 709960.i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | −84411.0 | − | 994901.i | −0.00383582 | − | 0.0452105i | ||||
\(866\) | −4.45283e6 | − | 1.37044e7i | −0.201763 | − | 0.620962i | ||||
\(867\) | −6.05751e6 | + | 4.40104e6i | −0.273682 | + | 0.198842i | ||||
\(868\) | 1.82471e6 | 0.0822042 | ||||||||
\(869\) | 4.21648e6 | − | 3.06345e6i | 0.189409 | − | 0.137614i | ||||
\(870\) | −3.57675e6 | + | 1.50717e6i | −0.160210 | + | 0.0675093i | ||||
\(871\) | 3.13755e6 | + | 2.27956e6i | 0.140135 | + | 0.101814i | ||||
\(872\) | −9.97306e6 | − | 7.24585e6i | −0.444158 | − | 0.322699i | ||||
\(873\) | 3.87654e6 | − | 1.19308e7i | 0.172151 | − | 0.529825i | ||||
\(874\) | 9.38761e6 | 0.415697 | ||||||||
\(875\) | −2.46387e6 | + | 6.27052e6i | −0.108792 | + | 0.276875i | ||||
\(876\) | −1.15291e7 | −0.507618 | ||||||||
\(877\) | −1.26476e7 | + | 3.89253e7i | −0.555276 | + | 1.70896i | 0.139939 | + | 0.990160i | \(0.455309\pi\) |
−0.695214 | + | 0.718802i | \(0.744691\pi\) | |||||||
\(878\) | −1.40024e7 | − | 1.01733e7i | −0.613006 | − | 0.445375i | ||||
\(879\) | −1.86673e7 | − | 1.35626e7i | −0.814908 | − | 0.592065i | ||||
\(880\) | 4.27961e6 | − | 1.80334e6i | 0.186293 | − | 0.0785002i | ||||
\(881\) | 3.51975e7 | − | 2.55725e7i | 1.52782 | − | 1.11003i | 0.570385 | − | 0.821377i | \(-0.306794\pi\) |
0.957435 | − | 0.288649i | \(-0.0932060\pi\) | |||||||
\(882\) | 4.96357e6 | 0.214844 | ||||||||
\(883\) | 3.74185e6 | − | 2.71861e6i | 0.161504 | − | 0.117340i | −0.504098 | − | 0.863647i | \(-0.668175\pi\) |
0.665602 | + | 0.746307i | \(0.268175\pi\) | |||||||
\(884\) | −642301. | − | 1.97680e6i | −0.0276444 | − | 0.0850808i | ||||
\(885\) | 1.36725e6 | + | 1.61149e7i | 0.0586798 | + | 0.691623i | ||||
\(886\) | −6.63597e6 | + | 2.04234e7i | −0.284001 | + | 0.874066i | ||||
\(887\) | −1.15564e7 | − | 3.55668e7i | −0.493187 | − | 1.51787i | −0.819763 | − | 0.572703i | \(-0.805895\pi\) |
0.326575 | − | 0.945171i | \(-0.394105\pi\) | |||||||
\(888\) | 1.13308e6 | + | 3.48725e6i | 0.0482200 | + | 0.148406i | ||||
\(889\) | 1.28373e6 | − | 3.95092e6i | 0.0544779 | − | 0.167666i | ||||
\(890\) | −3.73648e6 | − | 872974.i | −0.158120 | − | 0.0369425i | ||||
\(891\) | 657935. | + | 2.02492e6i | 0.0277644 | + | 0.0854501i | ||||
\(892\) | −7.54878e6 | + | 5.48451e6i | −0.317662 | + | 0.230795i | ||||
\(893\) | 1.15560e7 | 0.484930 | ||||||||
\(894\) | 1.41897e6 | − | 1.03094e6i | 0.0593784 | − | 0.0431410i | ||||
\(895\) | 1.15402e7 | + | 2.69620e6i | 0.481566 | + | 0.112511i | ||||
\(896\) | −511191. | − | 371402.i | −0.0212722 | − | 0.0154552i | ||||
\(897\) | 3.95807e6 | + | 2.87570e6i | 0.164249 | + | 0.119334i | ||||
\(898\) | 2.00455e6 | − | 6.16936e6i | 0.0829517 | − | 0.255299i | ||||
\(899\) | 5.70323e6 | 0.235354 | ||||||||
\(900\) | −1.88256e6 | − | 3.58587e6i | −0.0774714 | − | 0.147567i | ||||
\(901\) | −2.10936e6 | −0.0865641 | ||||||||
\(902\) | −1.55143e6 | + | 4.77482e6i | −0.0634916 | + | 0.195407i | ||||
\(903\) | −3.67889e6 | − | 2.67287e6i | −0.150140 | − | 0.109083i | ||||
\(904\) | −5.73493e6 | − | 4.16667e6i | −0.233403 | − | 0.169578i | ||||
\(905\) | −4.37019e6 | + | 7.23015e6i | −0.177369 | + | 0.293444i | ||||
\(906\) | −4.74962e6 | + | 3.45080e6i | −0.192238 | + | 0.139669i | ||||
\(907\) | −2.30246e7 | −0.929338 | −0.464669 | − | 0.885484i | \(-0.653827\pi\) | ||||
−0.464669 | + | 0.885484i | \(0.653827\pi\) | |||||||
\(908\) | 1.63987e7 | − | 1.19143e7i | 0.660076 | − | 0.479573i | ||||
\(909\) | −1.89989e6 | − | 5.84727e6i | −0.0762640 | − | 0.234716i | ||||
\(910\) | 1.34641e6 | − | 567351.i | 0.0538983 | − | 0.0227116i | ||||
\(911\) | −1.08207e7 | + | 3.33027e7i | −0.431976 | + | 1.32949i | 0.464177 | + | 0.885742i | \(0.346350\pi\) |
−0.896154 | + | 0.443744i | \(0.853650\pi\) | |||||||
\(912\) | 520783. | + | 1.60280e6i | 0.0207334 | + | 0.0638107i | ||||
\(913\) | −817063. | − | 2.51466e6i | −0.0324398 | − | 0.0998396i | ||||
\(914\) | −2.00078e6 | + | 6.15776e6i | −0.0792197 | + | 0.243813i | ||||
\(915\) | −5.53905e6 | + | 9.16395e6i | −0.218717 | + | 0.361851i | ||||
\(916\) | 5.88354e6 | + | 1.81077e7i | 0.231686 | + | 0.713057i | ||||
\(917\) | −2.16627e6 | + | 1.57388e6i | −0.0850724 | + | 0.0618087i | ||||
\(918\) | −2.23586e6 | −0.0875663 | ||||||||
\(919\) | −2.00019e7 | + | 1.45323e7i | −0.781238 | + | 0.567602i | −0.905350 | − | 0.424666i | \(-0.860392\pi\) |
0.124112 | + | 0.992268i | \(0.460392\pi\) | |||||||
\(920\) | −7.50820e6 | − | 8.68314e6i | −0.292460 | − | 0.338226i | ||||
\(921\) | 2.27239e7 | + | 1.65099e7i | 0.882742 | + | 0.641350i | ||||
\(922\) | 3.12438e6 | + | 2.26999e6i | 0.121042 | + | 0.0879422i | ||||
\(923\) | −1.77858e6 | + | 5.47391e6i | −0.0687179 | + | 0.211492i | ||||
\(924\) | 1.80218e6 | 0.0694414 | ||||||||
\(925\) | 1.78339e7 | + | 8.81438e6i | 0.685316 | + | 0.338717i | ||||
\(926\) | 8.31802e6 | 0.318781 | ||||||||
\(927\) | 2.19332e6 | − | 6.75033e6i | 0.0838305 | − | 0.258004i | ||||
\(928\) | −1.59776e6 | − | 1.16084e6i | −0.0609032 | − | 0.0442488i | ||||
\(929\) | −1.72591e7 | − | 1.25395e7i | −0.656114 | − | 0.476695i | 0.209234 | − | 0.977866i | \(-0.432903\pi\) |
−0.865348 | + | 0.501171i | \(0.832903\pi\) | |||||||
\(930\) | 503103. | + | 5.92977e6i | 0.0190743 | + | 0.224818i | ||||
\(931\) | −9.06564e6 | + | 6.58657e6i | −0.342787 | + | 0.249049i | ||||
\(932\) | 1.28018e7 | 0.482762 | ||||||||
\(933\) | 128108. | − | 93076.1i | 0.00481807 | − | 0.00350053i | ||||
\(934\) | −2.84019e6 | − | 8.74120e6i | −0.106532 | − | 0.327872i | ||||
\(935\) | −9.09787e6 | − | 1.05216e7i | −0.340338 | − | 0.393597i | ||||
\(936\) | −271411. | + | 835316.i | −0.0101260 | + | 0.0311646i | ||||
\(937\) | −9.00052e6 | − | 2.77007e7i | −0.334903 | − | 1.03072i | −0.966770 | − | 0.255648i | \(-0.917711\pi\) |
0.631867 | − | 0.775076i | \(-0.282289\pi\) | |||||||
\(938\) | −1.09119e6 | − | 3.35834e6i | −0.0404943 | − | 0.124629i | ||||
\(939\) | 4.42295e6 | − | 1.36124e7i | 0.163700 | − | 0.503816i | ||||
\(940\) | −9.24249e6 | − | 1.06888e7i | −0.341169 | − | 0.394557i | ||||
\(941\) | −498096. | − | 1.53298e6i | −0.0183375 | − | 0.0564369i | 0.941469 | − | 0.337099i | \(-0.109446\pi\) |
−0.959807 | + | 0.280663i | \(0.909446\pi\) | |||||||
\(942\) | 2.34841e6 | − | 1.70622e6i | 0.0862278 | − | 0.0626481i | ||||
\(943\) | 1.24098e7 | 0.454448 | ||||||||
\(944\) | −6.65756e6 | + | 4.83700e6i | −0.243156 | + | 0.176663i | ||||
\(945\) | −132868. | − | 1.56603e6i | −0.00483994 | − | 0.0570454i | ||||
\(946\) | 1.37581e7 | + | 9.99587e6i | 0.499841 | + | 0.363156i | ||||
\(947\) | −3.57454e7 | − | 2.59706e7i | −1.29523 | − | 0.941037i | −0.295329 | − | 0.955396i | \(-0.595429\pi\) |
−0.999897 | + | 0.0143589i | \(0.995429\pi\) | |||||||
\(948\) | 714671. | − | 2.19953e6i | 0.0258277 | − | 0.0794895i | ||||
\(949\) | 1.35648e7 | 0.488933 | ||||||||
\(950\) | 8.19676e6 | + | 4.05125e6i | 0.294668 | + | 0.145640i | ||||
\(951\) | −2.30137e7 | −0.825154 | ||||||||
\(952\) | −584822. | + | 1.79990e6i | −0.0209137 | + | 0.0643659i | ||||
\(953\) | −1.57676e7 | − | 1.14558e7i | −0.562383 | − | 0.408595i | 0.269947 | − | 0.962875i | \(-0.412994\pi\) |
−0.832330 | + | 0.554280i | \(0.812994\pi\) | |||||||
\(954\) | 721101. | + | 523911.i | 0.0256522 | + | 0.0186374i | ||||
\(955\) | 1.90750e7 | + | 2.20599e7i | 0.676792 | + | 0.782701i | ||||
\(956\) | −6.99703e6 | + | 5.08364e6i | −0.247611 | + | 0.179900i | ||||
\(957\) | 5.63282e6 | 0.198813 | ||||||||
\(958\) | −1.74189e7 | + | 1.26556e7i | −0.613207 | + | 0.445521i | ||||
\(959\) | −3.19340e6 | − | 9.82827e6i | −0.112126 | − | 0.345088i | ||||
\(960\) | 1.06600e6 | − | 1.76362e6i | 0.0373320 | − | 0.0617629i | ||||
\(961\) | −6.14469e6 | + | 1.89114e7i | −0.214630 | + | 0.660565i | ||||
\(962\) | −1.33314e6 | − | 4.10299e6i | −0.0464450 | − | 0.142943i | ||||
\(963\) | −3.96470e6 | − | 1.22021e7i | −0.137767 | − | 0.424003i | ||||
\(964\) | 3.40376e6 | − | 1.04757e7i | 0.117969 | − | 0.363070i | ||||
\(965\) | −2.32606e7 | + | 9.80152e6i | −0.804085 | + | 0.338825i | ||||
\(966\) | −1.37655e6 | − | 4.23660e6i | −0.0474625 | − | 0.146075i | ||||
\(967\) | −2.45766e7 | + | 1.78559e7i | −0.845191 | + | 0.614067i | −0.923816 | − | 0.382837i | \(-0.874947\pi\) |
0.0786246 | + | 0.996904i | \(0.474947\pi\) | |||||||
\(968\) | 3.56756e6 | 0.122372 | ||||||||
\(969\) | 4.08365e6 | − | 2.96694e6i | 0.139714 | − | 0.101508i | ||||
\(970\) | 1.79140e7 | − | 2.96374e7i | 0.611313 | − | 1.01137i | ||||
\(971\) | 3.80876e7 | + | 2.76723e7i | 1.29639 | + | 0.941882i | 0.999913 | − | 0.0131577i | \(-0.00418835\pi\) |
0.296477 | + | 0.955040i | \(0.404188\pi\) | |||||||
\(972\) | 764346. | + | 555330.i | 0.0259492 | + | 0.0188532i | ||||
\(973\) | −471587. | + | 1.45140e6i | −0.0159691 | + | 0.0491478i | ||||
\(974\) | 1.98943e7 | 0.671941 | ||||||||
\(975\) | 2.21496e6 | + | 4.21902e6i | 0.0746197 | + | 0.142135i | ||||
\(976\) | −5.44850e6 | −0.183085 | ||||||||
\(977\) | −1.42712e7 | + | 4.39221e7i | −0.478325 | + | 1.47213i | 0.363096 | + | 0.931752i | \(0.381720\pi\) |
−0.841421 | + | 0.540381i | \(0.818280\pi\) | |||||||
\(978\) | 4.90993e6 | + | 3.56727e6i | 0.164145 | + | 0.119258i | ||||
\(979\) | 4.50512e6 | + | 3.27316e6i | 0.150228 | + | 0.109147i | ||||
\(980\) | 1.33430e7 | + | 3.11740e6i | 0.443801 | + | 0.103688i | ||||
\(981\) | 1.26222e7 | − | 9.17053e6i | 0.418756 | − | 0.304244i | ||||
\(982\) | −442213. | −0.0146336 | ||||||||
\(983\) | −1.89036e7 | + | 1.37343e7i | −0.623965 | + | 0.453337i | −0.854304 | − | 0.519773i | \(-0.826016\pi\) |
0.230339 | + | 0.973110i | \(0.426016\pi\) | |||||||
\(984\) | 688438. | + | 2.11879e6i | 0.0226661 | + | 0.0697591i | ||||
\(985\) | −5.14849e6 | − | 1.20287e6i | −0.169079 | − | 0.0395028i | ||||
\(986\) | −1.82790e6 | + | 5.62568e6i | −0.0598769 | + | 0.184282i | ||||
\(987\) | −1.69452e6 | − | 5.21519e6i | −0.0553673 | − | 0.170403i | ||||
\(988\) | −612737. | − | 1.88581e6i | −0.0199702 | − | 0.0614618i | ||||
\(989\) | 1.29896e7 | − | 3.99780e7i | 0.422286 | − | 1.29966i | ||||
\(990\) | 496892. | + | 5.85656e6i | 0.0161129 | + | 0.189913i | ||||
\(991\) | −6.55055e6 | − | 2.01605e7i | −0.211882 | − | 0.652105i | −0.999360 | − | 0.0357628i | \(-0.988614\pi\) |
0.787479 | − | 0.616342i | \(-0.211386\pi\) | |||||||
\(992\) | −2.44977e6 | + | 1.77986e6i | −0.0790399 | + | 0.0574259i | ||||
\(993\) | −4.75834e6 | −0.153138 | ||||||||
\(994\) | 4.23970e6 | − | 3.08032e6i | 0.136103 | − | 0.0988849i | ||||
\(995\) | 2.15481e7 | − | 9.07995e6i | 0.690005 | − | 0.290754i | ||||
\(996\) | −949212. | − | 689643.i | −0.0303190 | − | 0.0220280i | ||||
\(997\) | −3.70015e6 | − | 2.68832e6i | −0.117891 | − | 0.0856530i | 0.527277 | − | 0.849693i | \(-0.323213\pi\) |
−0.645169 | + | 0.764040i | \(0.723213\pi\) | |||||||
\(998\) | 4.73892e6 | − | 1.45849e7i | 0.150610 | − | 0.463529i | ||||
\(999\) | −4.64069e6 | −0.147119 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 150.6.g.a.121.5 | yes | 20 | |
25.6 | even | 5 | inner | 150.6.g.a.31.5 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.a.31.5 | ✓ | 20 | 25.6 | even | 5 | inner | |
150.6.g.a.121.5 | yes | 20 | 1.1 | even | 1 | trivial |