Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,6,Mod(3,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (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: | \(1.76422201794\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 86 x^{14} - 146 x^{13} + 7205 x^{12} - 23732 x^{11} + 774165 x^{10} - 1228996 x^{9} + 44649817 x^{8} - 92720004 x^{7} + 943915592 x^{6} + \cdots + 393784336 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Root | \(2.73971 + 8.43195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 11.3 |
Dual form | 11.6.c.a.4.1 |
$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.36363 | + | 4.62345i | −1.12494 | + | 0.817318i | −0.984951 | − | 0.172835i | \(-0.944707\pi\) |
−0.139991 | + | 0.990153i | \(0.544707\pi\) | |||||||
\(3\) | −5.98507 | − | 18.4202i | −0.383943 | − | 1.18165i | −0.937244 | − | 0.348673i | \(-0.886632\pi\) |
0.553302 | − | 0.832981i | \(-0.313368\pi\) | |||||||
\(4\) | 9.23097 | − | 28.4100i | 0.288468 | − | 0.887812i | ||||
\(5\) | −59.3249 | − | 43.1020i | −1.06124 | − | 0.771033i | −0.0869187 | − | 0.996215i | \(-0.527702\pi\) |
−0.974317 | + | 0.225183i | \(0.927702\pi\) | |||||||
\(6\) | 123.251 | + | 89.5474i | 1.39770 | + | 1.01549i | ||||
\(7\) | −51.6143 | + | 158.852i | −0.398130 | + | 1.22532i | 0.528368 | + | 0.849016i | \(0.322804\pi\) |
−0.926497 | + | 0.376301i | \(0.877196\pi\) | |||||||
\(8\) | −5.17243 | − | 15.9191i | −0.0285739 | − | 0.0879414i | ||||
\(9\) | −106.890 | + | 77.6601i | −0.439876 | + | 0.319589i | ||||
\(10\) | 576.801 | 1.82401 | ||||||||
\(11\) | 3.42402 | − | 401.297i | 0.00853208 | − | 0.999964i | ||||
\(12\) | −578.565 | −1.15984 | ||||||||
\(13\) | −139.478 | + | 101.337i | −0.228901 | + | 0.166307i | −0.696324 | − | 0.717727i | \(-0.745183\pi\) |
0.467423 | + | 0.884034i | \(0.345183\pi\) | |||||||
\(14\) | −405.991 | − | 1249.51i | −0.553601 | − | 1.70381i | ||||
\(15\) | −438.883 | + | 1350.74i | −0.503640 | + | 1.55004i | ||||
\(16\) | 879.860 | + | 639.256i | 0.859238 | + | 0.624273i | ||||
\(17\) | 365.505 | + | 265.555i | 0.306741 | + | 0.222860i | 0.730497 | − | 0.682916i | \(-0.239289\pi\) |
−0.423756 | + | 0.905776i | \(0.639289\pi\) | |||||||
\(18\) | 321.151 | − | 988.400i | 0.233629 | − | 0.719038i | ||||
\(19\) | −764.308 | − | 2352.30i | −0.485718 | − | 1.49489i | −0.830938 | − | 0.556364i | \(-0.812196\pi\) |
0.345220 | − | 0.938522i | \(-0.387804\pi\) | |||||||
\(20\) | −1772.15 | + | 1287.55i | −0.990664 | + | 0.719760i | ||||
\(21\) | 3235.00 | 1.60076 | ||||||||
\(22\) | 1833.59 | + | 2569.54i | 0.807690 | + | 1.13187i | ||||
\(23\) | −2589.01 | −1.02050 | −0.510251 | − | 0.860025i | \(-0.670448\pi\) | ||||
−0.510251 | + | 0.860025i | \(0.670448\pi\) | |||||||
\(24\) | −262.275 | + | 190.554i | −0.0929455 | + | 0.0675289i | ||||
\(25\) | 695.975 | + | 2141.99i | 0.222712 | + | 0.685437i | ||||
\(26\) | 419.062 | − | 1289.74i | 0.121575 | − | 0.374170i | ||||
\(27\) | −1737.34 | − | 1262.25i | −0.458644 | − | 0.333224i | ||||
\(28\) | 4036.54 | + | 2932.72i | 0.973004 | + | 0.706929i | ||||
\(29\) | −709.309 | + | 2183.03i | −0.156618 | + | 0.482019i | −0.998321 | − | 0.0579204i | \(-0.981553\pi\) |
0.841704 | + | 0.539940i | \(0.181553\pi\) | |||||||
\(30\) | −3452.20 | − | 10624.8i | −0.700313 | − | 2.15534i | ||||
\(31\) | 3782.18 | − | 2747.92i | 0.706868 | − | 0.513570i | −0.175294 | − | 0.984516i | \(-0.556088\pi\) |
0.882162 | + | 0.470947i | \(0.156088\pi\) | |||||||
\(32\) | −8019.04 | −1.38435 | ||||||||
\(33\) | −7412.45 | + | 2338.72i | −1.18489 | + | 0.373847i | ||||
\(34\) | −3553.72 | −0.527213 | ||||||||
\(35\) | 9908.87 | − | 7199.21i | 1.36727 | − | 0.993379i | ||||
\(36\) | 1219.63 | + | 3753.62i | 0.156845 | + | 0.482719i | ||||
\(37\) | 951.875 | − | 2929.57i | 0.114308 | − | 0.351803i | −0.877494 | − | 0.479587i | \(-0.840786\pi\) |
0.991802 | + | 0.127784i | \(0.0407865\pi\) | |||||||
\(38\) | 15739.5 | + | 11435.4i | 1.76820 | + | 1.28467i | ||||
\(39\) | 2701.43 | + | 1962.70i | 0.284402 | + | 0.206630i | ||||
\(40\) | −379.292 | + | 1167.34i | −0.0374821 | + | 0.115358i | ||||
\(41\) | 2213.70 | + | 6813.06i | 0.205664 | + | 0.632969i | 0.999685 | + | 0.0250791i | \(0.00798376\pi\) |
−0.794021 | + | 0.607890i | \(0.792016\pi\) | |||||||
\(42\) | −20586.3 | + | 14956.9i | −1.80076 | + | 1.30833i | ||||
\(43\) | 398.961 | 0.0329048 | 0.0164524 | − | 0.999865i | \(-0.494763\pi\) | ||||
0.0164524 | + | 0.999865i | \(0.494763\pi\) | |||||||
\(44\) | −11369.2 | − | 3801.64i | −0.885319 | − | 0.296032i | ||||
\(45\) | 9688.54 | 0.713226 | ||||||||
\(46\) | 16475.5 | − | 11970.2i | 1.14801 | − | 0.834075i | ||||
\(47\) | 415.282 | + | 1278.11i | 0.0274219 | + | 0.0843960i | 0.963831 | − | 0.266515i | \(-0.0858721\pi\) |
−0.936409 | + | 0.350911i | \(0.885872\pi\) | |||||||
\(48\) | 6509.16 | − | 20033.1i | 0.407776 | − | 1.25501i | ||||
\(49\) | −8972.88 | − | 6519.18i | −0.533878 | − | 0.387885i | ||||
\(50\) | −14332.3 | − | 10413.0i | −0.810758 | − | 0.589050i | ||||
\(51\) | 2703.99 | − | 8322.03i | 0.145573 | − | 0.448027i | ||||
\(52\) | 1591.46 | + | 4898.02i | 0.0816184 | + | 0.251196i | ||||
\(53\) | −8163.81 | + | 5931.36i | −0.399212 | + | 0.290044i | −0.769220 | − | 0.638984i | \(-0.779355\pi\) |
0.370008 | + | 0.929029i | \(0.379355\pi\) | |||||||
\(54\) | 16891.7 | 0.788298 | ||||||||
\(55\) | −17499.8 | + | 23659.3i | −0.780059 | + | 1.05462i | ||||
\(56\) | 2795.76 | 0.119132 | ||||||||
\(57\) | −38755.2 | + | 28157.3i | −1.57995 | + | 1.14790i | ||||
\(58\) | −5579.34 | − | 17171.4i | −0.217777 | − | 0.670250i | ||||
\(59\) | 12277.9 | − | 37787.5i | 0.459192 | − | 1.41325i | −0.406949 | − | 0.913451i | \(-0.633407\pi\) |
0.866142 | − | 0.499798i | \(-0.166593\pi\) | |||||||
\(60\) | 34323.3 | + | 24937.3i | 1.23086 | + | 0.894276i | ||||
\(61\) | 13623.8 | + | 9898.29i | 0.468786 | + | 0.340593i | 0.796968 | − | 0.604022i | \(-0.206436\pi\) |
−0.328182 | + | 0.944615i | \(0.606436\pi\) | |||||||
\(62\) | −11363.6 | + | 34973.4i | −0.375435 | + | 1.15547i | ||||
\(63\) | −6819.44 | − | 20988.1i | −0.216470 | − | 0.666226i | ||||
\(64\) | 22874.7 | − | 16619.4i | 0.698080 | − | 0.507185i | ||||
\(65\) | 12642.4 | 0.371146 | ||||||||
\(66\) | 36357.1 | − | 49153.8i | 1.02738 | − | 1.38898i | ||||
\(67\) | −28904.6 | −0.786648 | −0.393324 | − | 0.919400i | \(-0.628675\pi\) | ||||
−0.393324 | + | 0.919400i | \(0.628675\pi\) | |||||||
\(68\) | 10918.4 | − | 7932.67i | 0.286343 | − | 0.208040i | ||||
\(69\) | 15495.4 | + | 47690.0i | 0.391815 | + | 1.20588i | ||||
\(70\) | −29771.2 | + | 91626.2i | −0.726191 | + | 2.23499i | ||||
\(71\) | −49150.0 | − | 35709.6i | −1.15712 | − | 0.840696i | −0.167708 | − | 0.985837i | \(-0.553636\pi\) |
−0.989411 | + | 0.145141i | \(0.953636\pi\) | |||||||
\(72\) | 1789.16 | + | 1299.90i | 0.0406741 | + | 0.0295514i | ||||
\(73\) | 11036.1 | − | 33965.7i | 0.242387 | − | 0.745992i | −0.753668 | − | 0.657256i | \(-0.771717\pi\) |
0.996055 | − | 0.0887361i | \(-0.0282828\pi\) | |||||||
\(74\) | 7487.33 | + | 23043.6i | 0.158945 | + | 0.489183i | ||||
\(75\) | 35290.4 | − | 25639.9i | 0.724441 | − | 0.526337i | ||||
\(76\) | −73884.0 | −1.46729 | ||||||||
\(77\) | 63570.2 | + | 21256.6i | 1.22188 | + | 0.408570i | ||||
\(78\) | −26265.4 | −0.488818 | ||||||||
\(79\) | 10128.2 | − | 7358.60i | 0.182586 | − | 0.132656i | −0.492738 | − | 0.870178i | \(-0.664004\pi\) |
0.675324 | + | 0.737521i | \(0.264004\pi\) | |||||||
\(80\) | −24644.3 | − | 75847.5i | −0.430519 | − | 1.32500i | ||||
\(81\) | −22774.1 | + | 70091.3i | −0.385681 | + | 1.18700i | ||||
\(82\) | −45586.9 | − | 33120.9i | −0.748697 | − | 0.543960i | ||||
\(83\) | 12273.1 | + | 8916.96i | 0.195551 | + | 0.142076i | 0.681252 | − | 0.732049i | \(-0.261436\pi\) |
−0.485701 | + | 0.874125i | \(0.661436\pi\) | |||||||
\(84\) | 29862.2 | − | 91906.3i | 0.461767 | − | 1.42117i | ||||
\(85\) | −10237.6 | − | 31508.0i | −0.153692 | − | 0.473014i | ||||
\(86\) | −2538.84 | + | 1844.57i | −0.0370159 | + | 0.0268937i | ||||
\(87\) | 44457.0 | 0.629712 | ||||||||
\(88\) | −6405.99 | + | 2021.17i | −0.0881820 | + | 0.0278225i | ||||
\(89\) | 101481. | 1.35803 | 0.679016 | − | 0.734123i | \(-0.262406\pi\) | ||||
0.679016 | + | 0.734123i | \(0.262406\pi\) | |||||||
\(90\) | −61654.3 | + | 44794.5i | −0.802337 | + | 0.582932i | ||||
\(91\) | −8898.54 | − | 27386.9i | −0.112646 | − | 0.346688i | ||||
\(92\) | −23899.1 | + | 73553.8i | −0.294382 | + | 0.906015i | ||||
\(93\) | −73253.7 | − | 53221.9i | −0.878258 | − | 0.638092i | ||||
\(94\) | −8551.95 | − | 6213.36i | −0.0998264 | − | 0.0725282i | ||||
\(95\) | −56046.3 | + | 172493.i | −0.637145 | + | 1.96093i | ||||
\(96\) | 47994.5 | + | 147712.i | 0.531513 | + | 1.63583i | ||||
\(97\) | 108448. | − | 78792.3i | 1.17029 | − | 0.850266i | 0.179247 | − | 0.983804i | \(-0.442634\pi\) |
0.991044 | + | 0.133539i | \(0.0426340\pi\) | |||||||
\(98\) | 87241.2 | 0.917606 | ||||||||
\(99\) | 30798.8 | + | 43160.5i | 0.315824 | + | 0.442587i | ||||
\(100\) | 67278.5 | 0.672785 | ||||||||
\(101\) | −4121.09 | + | 2994.15i | −0.0401984 | + | 0.0292058i | −0.607703 | − | 0.794164i | \(-0.707909\pi\) |
0.567505 | + | 0.823370i | \(0.307909\pi\) | |||||||
\(102\) | 21269.3 | + | 65460.1i | 0.202419 | + | 0.622983i | ||||
\(103\) | 20815.6 | − | 64063.8i | 0.193328 | − | 0.595004i | −0.806664 | − | 0.591011i | \(-0.798729\pi\) |
0.999992 | − | 0.00399289i | \(-0.00127098\pi\) | |||||||
\(104\) | 2334.63 | + | 1696.21i | 0.0211658 | + | 0.0153779i | ||||
\(105\) | −191916. | − | 139435.i | −1.69878 | − | 1.23424i | ||||
\(106\) | 24528.2 | − | 75489.9i | 0.212031 | − | 0.652566i | ||||
\(107\) | −10913.8 | − | 33589.1i | −0.0921542 | − | 0.283622i | 0.894347 | − | 0.447373i | \(-0.147640\pi\) |
−0.986502 | + | 0.163752i | \(0.947640\pi\) | |||||||
\(108\) | −51897.9 | + | 37706.0i | −0.428145 | + | 0.311065i | ||||
\(109\) | −141350. | −1.13954 | −0.569770 | − | 0.821804i | \(-0.692968\pi\) | ||||
−0.569770 | + | 0.821804i | \(0.692968\pi\) | |||||||
\(110\) | 1974.98 | − | 231469.i | 0.0155626 | − | 1.82394i | ||||
\(111\) | −59660.2 | −0.459597 | ||||||||
\(112\) | −146961. | + | 106773.i | −1.10702 | + | 0.804298i | ||||
\(113\) | 18325.9 | + | 56401.5i | 0.135011 | + | 0.415522i | 0.995592 | − | 0.0937924i | \(-0.0298990\pi\) |
−0.860580 | + | 0.509315i | \(0.829899\pi\) | |||||||
\(114\) | 116440. | − | 358366.i | 0.839151 | − | 2.58264i | ||||
\(115\) | 153593. | + | 111592.i | 1.08299 | + | 0.786841i | ||||
\(116\) | 55472.2 | + | 40302.9i | 0.382764 | + | 0.278094i | ||||
\(117\) | 7039.00 | − | 21663.8i | 0.0475386 | − | 0.146309i | ||||
\(118\) | 96576.6 | + | 297232.i | 0.638509 | + | 1.96513i | ||||
\(119\) | −61049.3 | + | 44354.9i | −0.395197 | + | 0.287127i | ||||
\(120\) | 23772.7 | 0.150704 | ||||||||
\(121\) | −161028. | − | 2748.10i | −0.999854 | − | 0.0170635i | ||||
\(122\) | −132461. | −0.805729 | ||||||||
\(123\) | 112248. | − | 81553.3i | 0.668987 | − | 0.486047i | ||||
\(124\) | −43155.1 | − | 132818.i | −0.252045 | − | 0.775714i | ||||
\(125\) | −19777.2 | + | 60868.0i | −0.113211 | + | 0.348429i | ||||
\(126\) | 140434. | + | 102031.i | 0.788034 | + | 0.572540i | ||||
\(127\) | 219427. | + | 159423.i | 1.20720 | + | 0.877085i | 0.994974 | − | 0.100135i | \(-0.0319275\pi\) |
0.212230 | + | 0.977220i | \(0.431928\pi\) | |||||||
\(128\) | 10569.7 | − | 32530.2i | 0.0570214 | − | 0.175494i | ||||
\(129\) | −2387.81 | − | 7348.92i | −0.0126335 | − | 0.0388821i | ||||
\(130\) | −80451.3 | + | 58451.3i | −0.417518 | + | 0.303344i | ||||
\(131\) | −359242. | −1.82898 | −0.914490 | − | 0.404609i | \(-0.867408\pi\) | ||||
−0.914490 | + | 0.404609i | \(0.867408\pi\) | |||||||
\(132\) | −1981.02 | + | 232176.i | −0.00989586 | + | 1.15980i | ||||
\(133\) | 413117. | 2.02509 | ||||||||
\(134\) | 183938. | − | 133639.i | 0.884933 | − | 0.642941i | ||||
\(135\) | 48661.9 | + | 149766.i | 0.229802 | + | 0.707259i | ||||
\(136\) | 2336.85 | − | 7192.07i | 0.0108339 | − | 0.0333432i | ||||
\(137\) | −212722. | − | 154552.i | −0.968303 | − | 0.703513i | −0.0132389 | − | 0.999912i | \(-0.504214\pi\) |
−0.955064 | + | 0.296399i | \(0.904214\pi\) | |||||||
\(138\) | −319099. | − | 231839.i | −1.42636 | − | 1.03631i | ||||
\(139\) | −11066.7 | + | 34059.8i | −0.0485826 | + | 0.149522i | −0.972405 | − | 0.233300i | \(-0.925048\pi\) |
0.923822 | + | 0.382822i | \(0.125048\pi\) | |||||||
\(140\) | −113061. | − | 347966.i | −0.487521 | − | 1.50044i | ||||
\(141\) | 21057.4 | − | 15299.1i | 0.0891984 | − | 0.0648065i | ||||
\(142\) | 477874. | 1.98881 | ||||||||
\(143\) | 40188.6 | + | 56319.2i | 0.164348 | + | 0.230312i | ||||
\(144\) | −143693. | −0.577469 | ||||||||
\(145\) | 136173. | − | 98935.2i | 0.537861 | − | 0.390779i | ||||
\(146\) | 86808.9 | + | 267170.i | 0.337041 | + | 1.03730i | ||||
\(147\) | −66381.0 | + | 204300.i | −0.253367 | + | 0.779784i | ||||
\(148\) | −74442.3 | − | 54085.5i | −0.279361 | − | 0.202968i | ||||
\(149\) | 92117.0 | + | 66926.9i | 0.339918 | + | 0.246965i | 0.744627 | − | 0.667481i | \(-0.232627\pi\) |
−0.404709 | + | 0.914445i | \(0.632627\pi\) | |||||||
\(150\) | −106030. | + | 326326.i | −0.384769 | + | 1.18420i | ||||
\(151\) | −130182. | − | 400658.i | −0.464631 | − | 1.42999i | −0.859446 | − | 0.511226i | \(-0.829192\pi\) |
0.394816 | − | 0.918760i | \(-0.370808\pi\) | |||||||
\(152\) | −33493.1 | + | 24334.2i | −0.117584 | + | 0.0854294i | ||||
\(153\) | −59691.9 | −0.206152 | ||||||||
\(154\) | −502816. | + | 158645.i | −1.70847 | + | 0.539044i | ||||
\(155\) | −342818. | −1.14613 | ||||||||
\(156\) | 80697.2 | − | 58630.0i | 0.265489 | − | 0.192889i | ||||
\(157\) | −151673. | − | 466803.i | −0.491089 | − | 1.51142i | −0.822964 | − | 0.568094i | \(-0.807681\pi\) |
0.331874 | − | 0.943324i | \(-0.392319\pi\) | |||||||
\(158\) | −30430.3 | + | 93654.8i | −0.0969758 | + | 0.298461i | ||||
\(159\) | 158118. | + | 114879.i | 0.496006 | + | 0.360370i | ||||
\(160\) | 475728. | + | 345637.i | 1.46913 | + | 1.06738i | ||||
\(161\) | 133630. | − | 411270.i | 0.406292 | − | 1.25044i | ||||
\(162\) | −179138. | − | 551330.i | −0.536290 | − | 1.65053i | ||||
\(163\) | 53272.2 | − | 38704.5i | 0.157048 | − | 0.114102i | −0.506486 | − | 0.862248i | \(-0.669056\pi\) |
0.663534 | + | 0.748146i | \(0.269056\pi\) | |||||||
\(164\) | 213993. | 0.621285 | ||||||||
\(165\) | 540546. | + | 180747.i | 1.54569 | + | 0.516847i | ||||
\(166\) | −119329. | −0.336105 | ||||||||
\(167\) | 117235. | − | 85175.9i | 0.325285 | − | 0.236334i | −0.413142 | − | 0.910667i | \(-0.635569\pi\) |
0.738427 | + | 0.674333i | \(0.235569\pi\) | |||||||
\(168\) | −16732.8 | − | 51498.3i | −0.0457399 | − | 0.140773i | ||||
\(169\) | −105551. | + | 324852.i | −0.284279 | + | 0.874921i | ||||
\(170\) | 210824. | + | 153172.i | 0.559496 | + | 0.406498i | ||||
\(171\) | 264376. | + | 192081.i | 0.691405 | + | 0.502335i | ||||
\(172\) | 3682.79 | − | 11334.5i | 0.00949197 | − | 0.0292133i | ||||
\(173\) | 65248.8 | + | 200815.i | 0.165751 | + | 0.510130i | 0.999091 | − | 0.0426312i | \(-0.0135740\pi\) |
−0.833339 | + | 0.552762i | \(0.813574\pi\) | |||||||
\(174\) | −282908. | + | 205545.i | −0.708389 | + | 0.514675i | ||||
\(175\) | −376183. | −0.928546 | ||||||||
\(176\) | 259544. | − | 350896.i | 0.631581 | − | 0.853881i | ||||
\(177\) | −769537. | −1.84627 | ||||||||
\(178\) | −645788. | + | 469193.i | −1.52771 | + | 1.10994i | ||||
\(179\) | 224974. | + | 692398.i | 0.524807 | + | 1.61519i | 0.764697 | + | 0.644390i | \(0.222889\pi\) |
−0.239890 | + | 0.970800i | \(0.577111\pi\) | |||||||
\(180\) | 89434.6 | − | 275251.i | 0.205743 | − | 0.633211i | ||||
\(181\) | 507999. | + | 369083.i | 1.15257 | + | 0.837389i | 0.988820 | − | 0.149113i | \(-0.0476418\pi\) |
0.163747 | + | 0.986502i | \(0.447642\pi\) | |||||||
\(182\) | 183249. | + | 133138.i | 0.410075 | + | 0.297937i | ||||
\(183\) | 100788. | − | 310195.i | 0.222476 | − | 0.684711i | ||||
\(184\) | 13391.5 | + | 41214.7i | 0.0291597 | + | 0.0897445i | ||||
\(185\) | −182740. | + | 132769.i | −0.392559 | + | 0.285211i | ||||
\(186\) | 712228. | 1.50951 | ||||||||
\(187\) | 107818. | − | 145767.i | 0.225469 | − | 0.304828i | ||||
\(188\) | 40144.4 | 0.0828382 | ||||||||
\(189\) | 290183. | − | 210830.i | 0.590905 | − | 0.429318i | ||||
\(190\) | −440854. | − | 1.35681e6i | −0.885952 | − | 2.72668i | ||||
\(191\) | 189676. | − | 583762.i | 0.376208 | − | 1.15785i | −0.566452 | − | 0.824095i | \(-0.691684\pi\) |
0.942660 | − | 0.333755i | \(-0.108316\pi\) | |||||||
\(192\) | −443039. | − | 321887.i | −0.867339 | − | 0.630159i | ||||
\(193\) | −671346. | − | 487761.i | −1.29734 | − | 0.942571i | −0.297412 | − | 0.954749i | \(-0.596123\pi\) |
−0.999926 | + | 0.0121784i | \(0.996123\pi\) | |||||||
\(194\) | −325833. | + | 1.00281e6i | −0.621571 | + | 1.91300i | ||||
\(195\) | −75665.4 | − | 232874.i | −0.142499 | − | 0.438566i | ||||
\(196\) | −268038. | + | 194741.i | −0.498375 | + | 0.362091i | ||||
\(197\) | 577890. | 1.06091 | 0.530456 | − | 0.847712i | \(-0.322021\pi\) | ||||
0.530456 | + | 0.847712i | \(0.322021\pi\) | |||||||
\(198\) | −395542. | − | 132261.i | −0.717018 | − | 0.239756i | ||||
\(199\) | 79423.0 | 0.142172 | 0.0710859 | − | 0.997470i | \(-0.477354\pi\) | ||||
0.0710859 | + | 0.997470i | \(0.477354\pi\) | |||||||
\(200\) | 30498.7 | − | 22158.6i | 0.0539145 | − | 0.0391712i | ||||
\(201\) | 172996. | + | 532428.i | 0.302028 | + | 0.929545i | ||||
\(202\) | 12381.8 | − | 38107.3i | 0.0213504 | − | 0.0657097i | ||||
\(203\) | −310169. | − | 225351.i | −0.528273 | − | 0.383812i | ||||
\(204\) | −211468. | − | 153641.i | −0.355770 | − | 0.258482i | ||||
\(205\) | 162329. | − | 499598.i | 0.269782 | − | 0.830303i | ||||
\(206\) | 163733. | + | 503918.i | 0.268824 | + | 0.827355i | ||||
\(207\) | 276739. | − | 201063.i | 0.448895 | − | 0.326141i | ||||
\(208\) | −187502. | −0.300502 | ||||||||
\(209\) | −946587. | + | 298660.i | −1.49898 | + | 0.472946i | ||||
\(210\) | 1.86595e6 | 2.91979 | ||||||||
\(211\) | −448445. | + | 325815.i | −0.693431 | + | 0.503807i | −0.877786 | − | 0.479052i | \(-0.840980\pi\) |
0.184355 | + | 0.982860i | \(0.440980\pi\) | |||||||
\(212\) | 93149.9 | + | 286686.i | 0.142345 | + | 0.438094i | ||||
\(213\) | −363610. | + | 1.11908e6i | −0.549144 | + | 1.69009i | ||||
\(214\) | 224749. | + | 163289.i | 0.335477 | + | 0.243738i | ||||
\(215\) | −23668.3 | − | 17196.0i | −0.0349197 | − | 0.0253707i | ||||
\(216\) | −11107.6 | + | 34185.8i | −0.0161990 | + | 0.0498553i | ||||
\(217\) | 241298. | + | 742640.i | 0.347861 | + | 1.07060i | ||||
\(218\) | 899499. | − | 653524.i | 1.28192 | − | 0.931366i | ||||
\(219\) | −691706. | −0.974566 | ||||||||
\(220\) | 510620. | + | 715569.i | 0.711281 | + | 0.996769i | ||||
\(221\) | −77890.6 | −0.107276 | ||||||||
\(222\) | 379655. | − | 275836.i | 0.517019 | − | 0.375637i | ||||
\(223\) | 2530.09 | + | 7786.81i | 0.00340701 | + | 0.0104857i | 0.952746 | − | 0.303769i | \(-0.0982453\pi\) |
−0.949339 | + | 0.314255i | \(0.898245\pi\) | |||||||
\(224\) | 413897. | − | 1.27384e6i | 0.551153 | − | 1.69627i | ||||
\(225\) | −240740. | − | 174908.i | −0.317024 | − | 0.230331i | ||||
\(226\) | −377389. | − | 274189.i | −0.491493 | − | 0.357091i | ||||
\(227\) | −73503.2 | + | 226220.i | −0.0946764 | + | 0.291384i | −0.987169 | − | 0.159678i | \(-0.948955\pi\) |
0.892493 | + | 0.451062i | \(0.148955\pi\) | |||||||
\(228\) | 442201. | + | 1.36096e6i | 0.563356 | + | 1.73383i | ||||
\(229\) | 294453. | − | 213933.i | 0.371046 | − | 0.269581i | −0.386599 | − | 0.922248i | \(-0.626350\pi\) |
0.757644 | + | 0.652668i | \(0.226350\pi\) | |||||||
\(230\) | −1.49334e6 | −1.86140 | ||||||||
\(231\) | 11076.7 | − | 1.29820e6i | 0.0136578 | − | 1.60070i | ||||
\(232\) | 38420.7 | 0.0468646 | ||||||||
\(233\) | 421693. | − | 306378.i | 0.508870 | − | 0.369716i | −0.303525 | − | 0.952824i | \(-0.598163\pi\) |
0.812395 | + | 0.583108i | \(0.198163\pi\) | |||||||
\(234\) | 55367.9 | + | 170405.i | 0.0661026 | + | 0.203443i | ||||
\(235\) | 30452.4 | − | 93722.9i | 0.0359710 | − | 0.110707i | ||||
\(236\) | −960207. | − | 697631.i | −1.12224 | − | 0.815353i | ||||
\(237\) | −196165. | − | 142522.i | −0.226856 | − | 0.164821i | ||||
\(238\) | 183423. | − | 564516.i | 0.209899 | − | 0.646003i | ||||
\(239\) | 55398.7 | + | 170500.i | 0.0627342 | + | 0.193076i | 0.977511 | − | 0.210883i | \(-0.0676339\pi\) |
−0.914777 | + | 0.403959i | \(0.867634\pi\) | |||||||
\(240\) | −1.24962e6 | + | 907905.i | −1.40040 | + | 1.01745i | ||||
\(241\) | −1.07705e6 | −1.19452 | −0.597261 | − | 0.802047i | \(-0.703744\pi\) | ||||
−0.597261 | + | 0.802047i | \(0.703744\pi\) | |||||||
\(242\) | 1.03743e6 | − | 727014.i | 1.13872 | − | 0.798003i | ||||
\(243\) | 905562. | 0.983791 | ||||||||
\(244\) | 406971. | − | 295682.i | 0.437612 | − | 0.317944i | ||||
\(245\) | 251325. | + | 773499.i | 0.267498 | + | 0.823274i | ||||
\(246\) | −337250. | + | 1.03795e6i | −0.355316 | + | 1.09355i | ||||
\(247\) | 344979. | + | 250642.i | 0.359791 | + | 0.261403i | ||||
\(248\) | −63307.4 | − | 45995.5i | −0.0653620 | − | 0.0474883i | ||||
\(249\) | 90796.1 | − | 279442.i | 0.0928045 | − | 0.285623i | ||||
\(250\) | −155565. | − | 478780.i | −0.157421 | − | 0.484491i | ||||
\(251\) | 1.18626e6 | − | 861869.i | 1.18849 | − | 0.863490i | 0.195388 | − | 0.980726i | \(-0.437404\pi\) |
0.993104 | + | 0.117236i | \(0.0374035\pi\) | |||||||
\(252\) | −659222. | −0.653928 | ||||||||
\(253\) | −8864.83 | + | 1.03896e6i | −0.00870701 | + | 1.02047i | ||||
\(254\) | −2.13343e6 | −2.07489 | ||||||||
\(255\) | −519110. | + | 377156.i | −0.499930 | + | 0.363220i | ||||
\(256\) | 362735. | + | 1.11638e6i | 0.345931 | + | 1.06467i | ||||
\(257\) | 312287. | − | 961122.i | 0.294932 | − | 0.907707i | −0.688312 | − | 0.725414i | \(-0.741648\pi\) |
0.983244 | − | 0.182293i | \(-0.0583518\pi\) | |||||||
\(258\) | 49172.5 | + | 35725.9i | 0.0459910 | + | 0.0334144i | ||||
\(259\) | 416239. | + | 302415.i | 0.385561 | + | 0.280126i | ||||
\(260\) | 116701. | − | 359169.i | 0.107064 | − | 0.329508i | ||||
\(261\) | −93716.3 | − | 288429.i | −0.0851557 | − | 0.262082i | ||||
\(262\) | 2.28608e6 | − | 1.66094e6i | 2.05749 | − | 1.49486i | ||||
\(263\) | 692197. | 0.617078 | 0.308539 | − | 0.951212i | \(-0.400160\pi\) | ||||
0.308539 | + | 0.951212i | \(0.400160\pi\) | |||||||
\(264\) | 75570.6 | + | 105903.i | 0.0667334 | + | 0.0935183i | ||||
\(265\) | 739971. | 0.647291 | ||||||||
\(266\) | −2.62892e6 | + | 1.91002e6i | −2.27811 | + | 1.65514i | ||||
\(267\) | −607372. | − | 1.86930e6i | −0.521407 | − | 1.60472i | ||||
\(268\) | −266818. | + | 821180.i | −0.226923 | + | 0.698396i | ||||
\(269\) | 107297. | + | 77955.6i | 0.0904077 | + | 0.0656851i | 0.632071 | − | 0.774911i | \(-0.282205\pi\) |
−0.541663 | + | 0.840596i | \(0.682205\pi\) | |||||||
\(270\) | −1.00210e6 | − | 728069.i | −0.836569 | − | 0.607803i | ||||
\(271\) | −357645. | + | 1.10072e6i | −0.295821 | + | 0.910443i | 0.687123 | + | 0.726541i | \(0.258873\pi\) |
−0.982944 | + | 0.183903i | \(0.941127\pi\) | |||||||
\(272\) | 151836. | + | 467302.i | 0.124438 | + | 0.382980i | ||||
\(273\) | −451213. | + | 327825.i | −0.366416 | + | 0.266217i | ||||
\(274\) | 2.06825e6 | 1.66428 | ||||||||
\(275\) | 861958. | − | 271958.i | 0.687312 | − | 0.216856i | ||||
\(276\) | 1.49791e6 | 1.18362 | ||||||||
\(277\) | −198498. | + | 144217.i | −0.155438 | + | 0.112932i | −0.662786 | − | 0.748809i | \(-0.730626\pi\) |
0.507348 | + | 0.861741i | \(0.330626\pi\) | |||||||
\(278\) | −87049.3 | − | 267910.i | −0.0675543 | − | 0.207911i | ||||
\(279\) | −190874. | + | 587450.i | −0.146803 | + | 0.451814i | ||||
\(280\) | −165858. | − | 120503.i | −0.126427 | − | 0.0918548i | ||||
\(281\) | 1.05704e6 | + | 767987.i | 0.798596 | + | 0.580214i | 0.910502 | − | 0.413505i | \(-0.135696\pi\) |
−0.111906 | + | 0.993719i | \(0.535696\pi\) | |||||||
\(282\) | −63267.0 | + | 194716.i | −0.0473755 | + | 0.145807i | ||||
\(283\) | 61415.5 | + | 189017.i | 0.0455839 | + | 0.140293i | 0.971258 | − | 0.238029i | \(-0.0765013\pi\) |
−0.925674 | + | 0.378322i | \(0.876501\pi\) | |||||||
\(284\) | −1.46821e6 | + | 1.06672e6i | −1.08017 | + | 0.784791i | ||||
\(285\) | 3.51279e6 | 2.56177 | ||||||||
\(286\) | −516135. | − | 172585.i | −0.373119 | − | 0.124763i | ||||
\(287\) | −1.19653e6 | −0.857469 | ||||||||
\(288\) | 857155. | − | 622760.i | 0.608945 | − | 0.442425i | ||||
\(289\) | −375685. | − | 1.15624e6i | −0.264594 | − | 0.814336i | ||||
\(290\) | −409130. | + | 1.25917e6i | −0.285671 | + | 0.879206i | ||||
\(291\) | −2.10044e6 | − | 1.52606e6i | −1.45404 | − | 1.05642i | ||||
\(292\) | −863092. | − | 627073.i | −0.592380 | − | 0.430389i | ||||
\(293\) | −127927. | + | 393718.i | −0.0870547 | + | 0.267927i | −0.985102 | − | 0.171973i | \(-0.944986\pi\) |
0.898047 | + | 0.439899i | \(0.144986\pi\) | |||||||
\(294\) | −522145. | − | 1.60700e6i | −0.352308 | − | 1.08429i | ||||
\(295\) | −2.35711e6 | + | 1.71254e6i | −1.57697 | + | 1.14574i | ||||
\(296\) | −51559.6 | −0.0342043 | ||||||||
\(297\) | −512487. | + | 692868.i | −0.337125 | + | 0.455784i | ||||
\(298\) | −895631. | −0.584236 | ||||||||
\(299\) | 361111. | − | 262363.i | 0.233595 | − | 0.169716i | ||||
\(300\) | −402666. | − | 1.23928e6i | −0.258311 | − | 0.794999i | ||||
\(301\) | −20592.1 | + | 63375.8i | −0.0131004 | + | 0.0403188i | ||||
\(302\) | 2.68085e6 | + | 1.94775e6i | 1.69143 | + | 1.22890i | ||||
\(303\) | 79817.7 | + | 57990.9i | 0.0499450 | + | 0.0362872i | ||||
\(304\) | 831235. | − | 2.55828e6i | 0.515870 | − | 1.58768i | ||||
\(305\) | −381595. | − | 1.17443e6i | −0.234884 | − | 0.722898i | ||||
\(306\) | 379857. | − | 275982.i | 0.231908 | − | 0.168491i | ||||
\(307\) | −766604. | −0.464221 | −0.232111 | − | 0.972689i | \(-0.574563\pi\) | ||||
−0.232111 | + | 0.972689i | \(0.574563\pi\) | |||||||
\(308\) | 1.19071e6 | − | 1.60981e6i | 0.715205 | − | 0.966937i | ||||
\(309\) | −1.30465e6 | −0.777315 | ||||||||
\(310\) | 2.18157e6 | − | 1.58500e6i | 1.28933 | − | 0.936754i | ||||
\(311\) | −463251. | − | 1.42574e6i | −0.271591 | − | 0.835872i | −0.990101 | − | 0.140355i | \(-0.955176\pi\) |
0.718510 | − | 0.695517i | \(-0.244824\pi\) | |||||||
\(312\) | 17271.5 | − | 53156.3i | 0.0100449 | − | 0.0309149i | ||||
\(313\) | −772853. | − | 561510.i | −0.445898 | − | 0.323964i | 0.342076 | − | 0.939672i | \(-0.388870\pi\) |
−0.787974 | + | 0.615708i | \(0.788870\pi\) | |||||||
\(314\) | 3.12343e6 | + | 2.26931e6i | 1.78775 | + | 1.29888i | ||||
\(315\) | −500067. | + | 1.53905e6i | −0.283956 | + | 0.873928i | ||||
\(316\) | −115564. | − | 355670.i | −0.0651037 | − | 0.200369i | ||||
\(317\) | −663718. | + | 482219.i | −0.370967 | + | 0.269523i | −0.757612 | − | 0.652705i | \(-0.773634\pi\) |
0.386645 | + | 0.922229i | \(0.373634\pi\) | |||||||
\(318\) | −1.53734e6 | −0.852515 | ||||||||
\(319\) | 873614. | + | 292118.i | 0.480666 | + | 0.160725i | ||||
\(320\) | −2.07337e6 | −1.13188 | ||||||||
\(321\) | −553397. | + | 402067.i | −0.299761 | + | 0.217789i | ||||
\(322\) | 1.05112e6 | + | 3.23500e6i | 0.564951 | + | 1.73874i | ||||
\(323\) | 345306. | − | 1.06274e6i | 0.184161 | − | 0.566789i | ||||
\(324\) | 1.78107e6 | + | 1.29402e6i | 0.942579 | + | 0.684824i | ||||
\(325\) | −314136. | − | 228233.i | −0.164972 | − | 0.119859i | ||||
\(326\) | −160056. | + | 492603.i | −0.0834121 | + | 0.256716i | ||||
\(327\) | 845990. | + | 2.60369e6i | 0.437518 | + | 1.34654i | ||||
\(328\) | 97007.5 | − | 70480.1i | 0.0497875 | − | 0.0361728i | ||||
\(329\) | −224464. | −0.114329 | ||||||||
\(330\) | −4.27551e6 | + | 1.34898e6i | −2.16124 | + | 0.681898i | ||||
\(331\) | 3.51843e6 | 1.76514 | 0.882570 | − | 0.470181i | \(-0.155811\pi\) | ||||
0.882570 | + | 0.470181i | \(0.155811\pi\) | |||||||
\(332\) | 366624. | − | 266368.i | 0.182547 | − | 0.132628i | ||||
\(333\) | 125765. | + | 387064.i | 0.0621511 | + | 0.191281i | ||||
\(334\) | −352231. | + | 1.08406e6i | −0.172767 | + | 0.531723i | ||||
\(335\) | 1.71476e6 | + | 1.24585e6i | 0.834819 | + | 0.606531i | ||||
\(336\) | 2.84635e6 | + | 2.06799e6i | 1.37543 | + | 0.999311i | ||||
\(337\) | −137605. | + | 423506.i | −0.0660025 | + | 0.203135i | −0.978619 | − | 0.205682i | \(-0.934059\pi\) |
0.912616 | + | 0.408817i | \(0.134059\pi\) | |||||||
\(338\) | −830250. | − | 2.55525e6i | −0.395291 | − | 1.21658i | ||||
\(339\) | 929242. | − | 675134.i | 0.439167 | − | 0.319073i | ||||
\(340\) | −989645. | −0.464283 | ||||||||
\(341\) | −1.08978e6 | − | 1.52719e6i | −0.507520 | − | 0.711224i | ||||
\(342\) | −2.57047e6 | −1.18836 | ||||||||
\(343\) | −772378. | + | 561166.i | −0.354482 | + | 0.257547i | ||||
\(344\) | −2063.60 | − | 6351.09i | −0.000940218 | − | 0.00289369i | ||||
\(345\) | 1.13627e6 | − | 3.49709e6i | 0.513966 | − | 1.58183i | ||||
\(346\) | −1.34368e6 | − | 976239.i | −0.603399 | − | 0.438395i | ||||
\(347\) | −2.01515e6 | − | 1.46409e6i | −0.898429 | − | 0.652747i | 0.0396330 | − | 0.999214i | \(-0.487381\pi\) |
−0.938062 | + | 0.346467i | \(0.887381\pi\) | |||||||
\(348\) | 410381. | − | 1.26302e6i | 0.181652 | − | 0.559066i | ||||
\(349\) | −1.38913e6 | − | 4.27529e6i | −0.610490 | − | 1.87889i | −0.453393 | − | 0.891311i | \(-0.649786\pi\) |
−0.157097 | − | 0.987583i | \(-0.550214\pi\) | |||||||
\(350\) | 2.39389e6 | − | 1.73926e6i | 1.04456 | − | 0.758917i | ||||
\(351\) | 370234. | 0.160402 | ||||||||
\(352\) | −27457.4 | + | 3.21802e6i | −0.0118114 | + | 1.38430i | ||||
\(353\) | 1.74717e6 | 0.746273 | 0.373136 | − | 0.927776i | \(-0.378282\pi\) | ||||
0.373136 | + | 0.927776i | \(0.378282\pi\) | |||||||
\(354\) | 4.89705e6 | − | 3.55791e6i | 2.07695 | − | 1.50899i | ||||
\(355\) | 1.37666e6 | + | 4.23693e6i | 0.579771 | + | 1.78435i | ||||
\(356\) | 936769. | − | 2.88308e6i | 0.391749 | − | 1.20568i | ||||
\(357\) | 1.18241e6 | + | 859070.i | 0.491018 | + | 0.356745i | ||||
\(358\) | −4.63292e6 | − | 3.36601e6i | −1.91050 | − | 1.38806i | ||||
\(359\) | −1.34744e6 | + | 4.14699e6i | −0.551788 | + | 1.69823i | 0.152489 | + | 0.988305i | \(0.451271\pi\) |
−0.704277 | + | 0.709925i | \(0.748729\pi\) | |||||||
\(360\) | −50113.3 | − | 154233.i | −0.0203796 | − | 0.0627221i | ||||
\(361\) | −2.94593e6 | + | 2.14034e6i | −1.18975 | + | 0.864401i | ||||
\(362\) | −4.93915e6 | −1.98098 | ||||||||
\(363\) | 913141. | + | 2.98260e6i | 0.363723 | + | 1.18803i | ||||
\(364\) | −860204. | −0.340289 | ||||||||
\(365\) | −2.11871e6 | + | 1.53933e6i | −0.832414 | + | 0.604784i | ||||
\(366\) | 792790. | + | 2.43996e6i | 0.309354 | + | 0.952093i | ||||
\(367\) | 1.00020e6 | − | 3.07829e6i | 0.387633 | − | 1.19301i | −0.546920 | − | 0.837185i | \(-0.684200\pi\) |
0.934552 | − | 0.355825i | \(-0.115800\pi\) | |||||||
\(368\) | −2.27797e6 | − | 1.65504e6i | −0.876855 | − | 0.637073i | ||||
\(369\) | −765725. | − | 556332.i | −0.292757 | − | 0.212700i | ||||
\(370\) | 549043. | − | 1.68978e6i | 0.208498 | − | 0.641691i | ||||
\(371\) | −520841. | − | 1.60298e6i | −0.196458 | − | 0.604636i | ||||
\(372\) | −2.18824e6 | + | 1.58985e6i | −0.819855 | + | 0.595659i | ||||
\(373\) | 3.81558e6 | 1.42000 | 0.710000 | − | 0.704202i | \(-0.248695\pi\) | ||||
0.710000 | + | 0.704202i | \(0.248695\pi\) | |||||||
\(374\) | −12168.0 | + | 1.42610e6i | −0.00449822 | + | 0.527193i | ||||
\(375\) | 1.23957e6 | 0.455188 | ||||||||
\(376\) | 18198.3 | − | 13221.8i | 0.00663835 | − | 0.00482305i | ||||
\(377\) | −122288. | − | 376365.i | −0.0443130 | − | 0.136381i | ||||
\(378\) | −871855. | + | 2.68329e6i | −0.313845 | + | 0.965914i | ||||
\(379\) | 2.38365e6 | + | 1.73182e6i | 0.852402 | + | 0.619307i | 0.925807 | − | 0.377996i | \(-0.123387\pi\) |
−0.0734051 | + | 0.997302i | \(0.523387\pi\) | |||||||
\(380\) | 4.38316e6 | + | 3.18455e6i | 1.55714 | + | 1.13133i | ||||
\(381\) | 1.62331e6 | − | 4.99604e6i | 0.572914 | − | 1.76325i | ||||
\(382\) | 1.49197e6 | + | 4.59180e6i | 0.523119 | + | 1.60999i | ||||
\(383\) | 1.02625e6 | − | 745611.i | 0.357482 | − | 0.259726i | −0.394519 | − | 0.918888i | \(-0.629089\pi\) |
0.752001 | + | 0.659162i | \(0.229089\pi\) | |||||||
\(384\) | −662472. | −0.229266 | ||||||||
\(385\) | −2.85509e6 | − | 4.00105e6i | −0.981677 | − | 1.37569i | ||||
\(386\) | 6.52733e6 | 2.22981 | ||||||||
\(387\) | −42644.9 | + | 30983.3i | −0.0144740 | + | 0.0105160i | ||||
\(388\) | −1.23741e6 | − | 3.80835e6i | −0.417285 | − | 1.28427i | ||||
\(389\) | −72527.5 | + | 223217.i | −0.0243012 | + | 0.0747916i | −0.962472 | − | 0.271382i | \(-0.912519\pi\) |
0.938170 | + | 0.346174i | \(0.112519\pi\) | |||||||
\(390\) | 1.55819e6 | + | 1.13209e6i | 0.518751 | + | 0.376894i | ||||
\(391\) | −946297. | − | 687525.i | −0.313030 | − | 0.227429i | ||||
\(392\) | −57367.9 | + | 176560.i | −0.0188562 | + | 0.0580333i | ||||
\(393\) | 2.15009e6 | + | 6.61729e6i | 0.702223 | + | 2.16122i | ||||
\(394\) | −3.67748e6 | + | 2.67184e6i | −1.19346 | + | 0.867102i | ||||
\(395\) | −918027. | −0.296048 | ||||||||
\(396\) | 1.51049e6 | − | 476580.i | 0.484039 | − | 0.152721i | ||||
\(397\) | −5.42749e6 | −1.72831 | −0.864157 | − | 0.503222i | \(-0.832148\pi\) | ||||
−0.864157 | + | 0.503222i | \(0.832148\pi\) | |||||||
\(398\) | −505419. | + | 367208.i | −0.159935 | + | 0.116200i | ||||
\(399\) | −2.47253e6 | − | 7.60968e6i | −0.777518 | − | 2.39295i | ||||
\(400\) | −756919. | + | 2.32956e6i | −0.236537 | + | 0.727987i | ||||
\(401\) | 121481. | + | 88260.9i | 0.0377265 | + | 0.0274099i | 0.606489 | − | 0.795092i | \(-0.292578\pi\) |
−0.568762 | + | 0.822502i | \(0.692578\pi\) | |||||||
\(402\) | −3.56254e6 | − | 2.58833e6i | −1.09950 | − | 0.798832i | ||||
\(403\) | −249067. | + | 766550.i | −0.0763930 | + | 0.235114i | ||||
\(404\) | 47022.0 | + | 144719.i | 0.0143334 | + | 0.0441135i | ||||
\(405\) | 4.37215e6 | − | 3.17655e6i | 1.32452 | − | 0.962317i | ||||
\(406\) | 3.01570e6 | 0.907972 | ||||||||
\(407\) | −1.17237e6 | − | 392015.i | −0.350815 | − | 0.117305i | ||||
\(408\) | −146465. | −0.0435597 | ||||||||
\(409\) | 2.27528e6 | − | 1.65309e6i | 0.672553 | − | 0.488638i | −0.198326 | − | 0.980136i | \(-0.563550\pi\) |
0.870879 | + | 0.491498i | \(0.163550\pi\) | |||||||
\(410\) | 1.27686e6 | + | 3.92978e6i | 0.375132 | + | 1.15454i | ||||
\(411\) | −1.57371e6 | + | 4.84338e6i | −0.459536 | + | 1.41431i | ||||
\(412\) | −1.62790e6 | − | 1.18274e6i | −0.472483 | − | 0.343279i | ||||
\(413\) | 5.36892e6 | + | 3.90075e6i | 1.54886 | + | 1.12531i | ||||
\(414\) | −831463. | + | 2.55898e6i | −0.238420 | + | 0.733780i | ||||
\(415\) | −343763. | − | 1.05799e6i | −0.0979804 | − | 0.301553i | ||||
\(416\) | 1.11848e6 | − | 812625.i | 0.316881 | − | 0.230227i | ||||
\(417\) | 693621. | 0.195336 | ||||||||
\(418\) | 4.64289e6 | − | 6.27705e6i | 1.29971 | − | 1.75718i | ||||
\(419\) | −4.50355e6 | −1.25320 | −0.626599 | − | 0.779342i | \(-0.715554\pi\) | ||||
−0.626599 | + | 0.779342i | \(0.715554\pi\) | |||||||
\(420\) | −5.73292e6 | + | 4.16521e6i | −1.58581 | + | 1.15216i | ||||
\(421\) | 847872. | + | 2.60948e6i | 0.233144 | + | 0.717545i | 0.997362 | + | 0.0725863i | \(0.0231253\pi\) |
−0.764218 | + | 0.644958i | \(0.776875\pi\) | |||||||
\(422\) | 1.34735e6 | − | 4.14673e6i | 0.368299 | − | 1.13351i | ||||
\(423\) | −143647. | − | 104366.i | −0.0390343 | − | 0.0283601i | ||||
\(424\) | 136649. | + | 99281.0i | 0.0369139 | + | 0.0268195i | ||||
\(425\) | −314434. | + | 967728.i | −0.0844417 | + | 0.259885i | ||||
\(426\) | −2.86011e6 | − | 8.80251e6i | −0.763587 | − | 2.35008i | ||||
\(427\) | −2.27555e6 | + | 1.65328e6i | −0.603972 | + | 0.438811i | ||||
\(428\) | −1.05501e6 | −0.278386 | ||||||||
\(429\) | 796877. | − | 1.07736e6i | 0.209049 | − | 0.282628i | ||||
\(430\) | 230121. | 0.0600185 | ||||||||
\(431\) | −557991. | + | 405404.i | −0.144688 | + | 0.105122i | −0.657775 | − | 0.753215i | \(-0.728502\pi\) |
0.513086 | + | 0.858337i | \(0.328502\pi\) | |||||||
\(432\) | −721715. | − | 2.22121e6i | −0.186061 | − | 0.572638i | ||||
\(433\) | −1.02133e6 | + | 3.14332e6i | −0.261785 | + | 0.805691i | 0.730632 | + | 0.682772i | \(0.239226\pi\) |
−0.992417 | + | 0.122919i | \(0.960774\pi\) | |||||||
\(434\) | −4.96909e6 | − | 3.61026e6i | −1.26635 | − | 0.920055i | ||||
\(435\) | −2.63741e6 | − | 1.91619e6i | −0.668273 | − | 0.485529i | ||||
\(436\) | −1.30480e6 | + | 4.01575e6i | −0.328721 | + | 1.01170i | ||||
\(437\) | 1.97880e6 | + | 6.09012e6i | 0.495677 | + | 1.52554i | ||||
\(438\) | 4.40176e6 | − | 3.19807e6i | 1.09633 | − | 0.796530i | ||||
\(439\) | 7.13877e6 | 1.76792 | 0.883959 | − | 0.467564i | \(-0.154868\pi\) | ||||
0.883959 | + | 0.467564i | \(0.154868\pi\) | |||||||
\(440\) | 467151. | + | 156206.i | 0.115034 | + | 0.0384649i | ||||
\(441\) | 1.46539e6 | 0.358804 | ||||||||
\(442\) | 495667. | − | 360123.i | 0.120680 | − | 0.0876789i | ||||
\(443\) | −1.75678e6 | − | 5.40683e6i | −0.425314 | − | 1.30898i | −0.902694 | − | 0.430284i | \(-0.858414\pi\) |
0.477380 | − | 0.878697i | \(-0.341586\pi\) | |||||||
\(444\) | −550721. | + | 1.69494e6i | −0.132579 | + | 0.408036i | ||||
\(445\) | −6.02035e6 | − | 4.37404e6i | −1.44119 | − | 1.04709i | ||||
\(446\) | −52102.4 | − | 37854.6i | −0.0124028 | − | 0.00901119i | ||||
\(447\) | 681477. | − | 2.09737e6i | 0.161318 | − | 0.496485i | ||||
\(448\) | 1.45938e6 | + | 4.49150e6i | 0.343536 | + | 1.05729i | ||||
\(449\) | 2.86753e6 | − | 2.08339e6i | 0.671263 | − | 0.487701i | −0.199185 | − | 0.979962i | \(-0.563829\pi\) |
0.870448 | + | 0.492261i | \(0.163829\pi\) | |||||||
\(450\) | 2.34066e6 | 0.544887 | ||||||||
\(451\) | 2.74164e6 | − | 865022.i | 0.634701 | − | 0.200256i | ||||
\(452\) | 1.77153e6 | 0.407852 | ||||||||
\(453\) | −6.60104e6 | + | 4.79594e6i | −1.51136 | + | 1.09806i | ||||
\(454\) | −578167. | − | 1.77942e6i | −0.131648 | − | 0.405171i | ||||
\(455\) | −652526. | + | 2.00827e6i | −0.147764 | + | 0.454772i | ||||
\(456\) | 648698. | + | 471307.i | 0.146093 | + | 0.106143i | ||||
\(457\) | 1.66201e6 | + | 1.20752e6i | 0.372258 | + | 0.270461i | 0.758147 | − | 0.652084i | \(-0.226105\pi\) |
−0.385889 | + | 0.922545i | \(0.626105\pi\) | |||||||
\(458\) | −884684. | + | 2.72278e6i | −0.197072 | + | 0.606525i | ||||
\(459\) | −299810. | − | 922719.i | −0.0664223 | − | 0.204427i | ||||
\(460\) | 4.58813e6 | − | 3.33347e6i | 1.01098 | − | 0.734517i | ||||
\(461\) | −5.77944e6 | −1.26658 | −0.633291 | − | 0.773914i | \(-0.718296\pi\) | ||||
−0.633291 | + | 0.773914i | \(0.718296\pi\) | |||||||
\(462\) | 5.93165e6 | + | 8.31245e6i | 1.29292 | + | 1.81186i | ||||
\(463\) | 4.74214e6 | 1.02807 | 0.514034 | − | 0.857770i | \(-0.328150\pi\) | ||||
0.514034 | + | 0.857770i | \(0.328150\pi\) | |||||||
\(464\) | −2.01961e6 | + | 1.46733e6i | −0.435484 | + | 0.316397i | ||||
\(465\) | 2.05179e6 | + | 6.31477e6i | 0.440049 | + | 1.35433i | ||||
\(466\) | −1.26698e6 | + | 3.89935e6i | −0.270274 | + | 0.831817i | ||||
\(467\) | 3.14959e6 | + | 2.28831e6i | 0.668286 | + | 0.485538i | 0.869451 | − | 0.494019i | \(-0.164473\pi\) |
−0.201165 | + | 0.979557i | \(0.564473\pi\) | |||||||
\(468\) | −550492. | − | 399956.i | −0.116181 | − | 0.0844107i | ||||
\(469\) | 1.49189e6 | − | 4.59157e6i | 0.313188 | − | 0.963893i | ||||
\(470\) | 239535. | + | 737213.i | 0.0500178 | + | 0.153939i | ||||
\(471\) | −7.69081e6 | + | 5.58770e6i | −1.59742 | + | 1.16059i | ||||
\(472\) | −665050. | −0.137404 | ||||||||
\(473\) | 1366.05 | − | 160102.i | 0.000280746 | − | 0.0329036i | ||||
\(474\) | 1.90726e6 | 0.389910 | ||||||||
\(475\) | 4.50666e6 | − | 3.27428e6i | 0.916475 | − | 0.665858i | ||||
\(476\) | 696579. | + | 2.14385e6i | 0.140914 | + | 0.433687i | ||||
\(477\) | 412000. | − | 1.26801e6i | 0.0829089 | − | 0.255167i | ||||
\(478\) | −1.14083e6 | − | 828863.i | −0.228377 | − | 0.165925i | ||||
\(479\) | −826321. | − | 600358.i | −0.164555 | − | 0.119556i | 0.502460 | − | 0.864600i | \(-0.332428\pi\) |
−0.667015 | + | 0.745044i | \(0.732428\pi\) | |||||||
\(480\) | 3.51942e6 | − | 1.08317e7i | 0.697217 | − | 2.14581i | ||||
\(481\) | 164108. | + | 505072.i | 0.0323420 | + | 0.0995383i | ||||
\(482\) | 6.85396e6 | − | 4.97969e6i | 1.34377 | − | 0.976304i | ||||
\(483\) | −8.37545e6 | −1.63358 | ||||||||
\(484\) | −1.56451e6 | + | 4.54942e6i | −0.303575 | + | 0.882761i | ||||
\(485\) | −9.82979e6 | −1.89754 | ||||||||
\(486\) | −5.76266e6 | + | 4.18682e6i | −1.10671 | + | 0.804069i | ||||
\(487\) | −211456. | − | 650796.i | −0.0404016 | − | 0.124343i | 0.928821 | − | 0.370528i | \(-0.120823\pi\) |
−0.969223 | + | 0.246184i | \(0.920823\pi\) | |||||||
\(488\) | 87103.6 | − | 268077.i | 0.0165572 | − | 0.0509578i | ||||
\(489\) | −1.03178e6 | − | 749633.i | −0.195126 | − | 0.141768i | ||||
\(490\) | −5.17557e6 | − | 3.76027e6i | −0.973796 | − | 0.707504i | ||||
\(491\) | 2.94765e6 | − | 9.07194e6i | 0.551789 | − | 1.69823i | −0.152489 | − | 0.988305i | \(-0.548729\pi\) |
0.704277 | − | 0.709925i | \(-0.251271\pi\) | |||||||
\(492\) | −1.28077e6 | − | 3.94179e6i | −0.238538 | − | 0.734144i | ||||
\(493\) | −838971. | + | 609548.i | −0.155464 | + | 0.112951i | ||||
\(494\) | −3.35415e6 | −0.618393 | ||||||||
\(495\) | 33173.8 | − | 3.88798e6i | 0.00608530 | − | 0.713200i | ||||
\(496\) | 5.08441e6 | 0.927976 | ||||||||
\(497\) | 8.20939e6 | − | 5.96447e6i | 1.49080 | − | 1.08313i | ||||
\(498\) | 714191. | + | 2.19805e6i | 0.129045 | + | 0.397160i | ||||
\(499\) | −610897. | + | 1.88015e6i | −0.109829 | + | 0.338019i | −0.990833 | − | 0.135089i | \(-0.956868\pi\) |
0.881005 | + | 0.473108i | \(0.156868\pi\) | |||||||
\(500\) | 1.54670e6 | + | 1.12374e6i | 0.276681 | + | 0.201021i | ||||
\(501\) | −2.27061e6 | − | 1.64969e6i | −0.404155 | − | 0.293636i | ||||
\(502\) | −3.56412e6 | + | 1.09692e7i | −0.631238 | + | 1.94275i | ||||
\(503\) | −292873. | − | 901371.i | −0.0516130 | − | 0.158849i | 0.921928 | − | 0.387362i | \(-0.126614\pi\) |
−0.973541 | + | 0.228513i | \(0.926614\pi\) | |||||||
\(504\) | −298838. | + | 217119.i | −0.0524035 | + | 0.0380733i | ||||
\(505\) | 373537. | 0.0651786 | ||||||||
\(506\) | −4.74717e6 | − | 6.65256e6i | −0.824250 | − | 1.15508i | ||||
\(507\) | 6.61555e6 | 1.14300 | ||||||||
\(508\) | 6.55473e6 | − | 4.76229e6i | 1.12693 | − | 0.818759i | ||||
\(509\) | 783457. | + | 2.41123e6i | 0.134036 | + | 0.412520i | 0.995439 | − | 0.0954024i | \(-0.0304138\pi\) |
−0.861403 | + | 0.507922i | \(0.830414\pi\) | |||||||
\(510\) | 1.55967e6 | − | 4.80016e6i | 0.265525 | − | 0.817203i | ||||
\(511\) | 4.82591e6 | + | 3.50623e6i | 0.817575 | + | 0.594003i | ||||
\(512\) | −6.58436e6 | − | 4.78381e6i | −1.11004 | − | 0.806491i | ||||
\(513\) | −1.64133e6 | + | 5.05149e6i | −0.275361 | + | 0.847473i | ||||
\(514\) | 2.45642e6 | + | 7.56007e6i | 0.410104 | + | 1.26217i | ||||
\(515\) | −3.99616e6 | + | 2.90338e6i | −0.663934 | + | 0.482376i | ||||
\(516\) | −230825. | −0.0381643 | ||||||||
\(517\) | 514322. | − | 162275.i | 0.0846269 | − | 0.0267009i | ||||
\(518\) | −4.04699e6 | −0.662685 | ||||||||
\(519\) | 3.30853e6 | − | 2.40379e6i | 0.539158 | − | 0.391722i | ||||
\(520\) | −65391.7 | − | 201255.i | −0.0106051 | − | 0.0326391i | ||||
\(521\) | −786163. | + | 2.41956e6i | −0.126887 | + | 0.390519i | −0.994240 | − | 0.107174i | \(-0.965820\pi\) |
0.867353 | + | 0.497694i | \(0.165820\pi\) | |||||||
\(522\) | 1.92991e6 | + | 1.40216e6i | 0.310000 | + | 0.225228i | ||||
\(523\) | 1.47657e6 | + | 1.07279e6i | 0.236048 | + | 0.171499i | 0.699521 | − | 0.714612i | \(-0.253397\pi\) |
−0.463473 | + | 0.886111i | \(0.653397\pi\) | |||||||
\(524\) | −3.31615e6 | + | 1.02061e7i | −0.527601 | + | 1.62379i | ||||
\(525\) | 2.25148e6 | + | 6.92934e6i | 0.356508 | + | 1.09722i | ||||
\(526\) | −4.40488e6 | + | 3.20034e6i | −0.694177 | + | 0.504349i | ||||
\(527\) | 2.11213e6 | 0.331279 | ||||||||
\(528\) | −8.01696e6 | − | 2.68070e6i | −1.25148 | − | 0.418469i | ||||
\(529\) | 266634. | 0.0414263 | ||||||||
\(530\) | −4.70890e6 | + | 3.42121e6i | −0.728165 | + | 0.529043i | ||||
\(531\) | 1.62220e6 | + | 4.99261e6i | 0.249671 | + | 0.768408i | ||||
\(532\) | 3.81347e6 | − | 1.17367e7i | 0.584173 | − | 1.79790i | ||||
\(533\) | −999177. | − | 725945.i | −0.152344 | − | 0.110684i | ||||
\(534\) | 1.25077e7 | + | 9.08737e6i | 1.89812 | + | 1.37907i | ||||
\(535\) | −800302. | + | 2.46308e6i | −0.120884 | + | 0.372043i | ||||
\(536\) | 149507. | + | 460136.i | 0.0224776 | + | 0.0691789i | ||||
\(537\) | 1.14076e7 | − | 8.28811e6i | 1.70710 | − | 1.24028i | ||||
\(538\) | −1.04322e6 | −0.155389 | ||||||||
\(539\) | −2.64685e6 | + | 3.57847e6i | −0.392426 | + | 0.530549i | ||||
\(540\) | 4.70404e6 | 0.694203 | ||||||||
\(541\) | −6.07892e6 | + | 4.41659e6i | −0.892962 | + | 0.648775i | −0.936649 | − | 0.350270i | \(-0.886090\pi\) |
0.0436864 | + | 0.999045i | \(0.486090\pi\) | |||||||
\(542\) | −2.81319e6 | − | 8.65812e6i | −0.411340 | − | 1.26598i | ||||
\(543\) | 3.75815e6 | − | 1.15664e7i | 0.546984 | − | 1.68344i | ||||
\(544\) | −2.93100e6 | − | 2.12950e6i | −0.424638 | − | 0.308517i | ||||
\(545\) | 8.38557e6 | + | 6.09247e6i | 1.20932 | + | 0.878623i | ||||
\(546\) | 1.35567e6 | − | 4.17231e6i | 0.194613 | − | 0.598957i | ||||
\(547\) | −3.62875e6 | − | 1.11681e7i | −0.518548 | − | 1.59593i | −0.776732 | − | 0.629831i | \(-0.783124\pi\) |
0.258184 | − | 0.966096i | \(-0.416876\pi\) | |||||||
\(548\) | −6.35444e6 | + | 4.61677e6i | −0.903912 | + | 0.656731i | ||||
\(549\) | −2.22495e6 | −0.315058 | ||||||||
\(550\) | −4.22779e6 | + | 5.71586e6i | −0.595946 | + | 0.805703i | ||||
\(551\) | 5.67726e6 | 0.796636 | ||||||||
\(552\) | 679032. | − | 493346.i | 0.0948512 | − | 0.0689134i | ||||
\(553\) | 646169. | + | 1.98870e6i | 0.0898531 | + | 0.276540i | ||||
\(554\) | 596386. | − | 1.83549e6i | 0.0825569 | − | 0.254084i | ||||
\(555\) | 3.53933e6 | + | 2.57147e6i | 0.487740 | + | 0.354364i | ||||
\(556\) | 865482. | + | 628809.i | 0.118733 | + | 0.0862645i | ||||
\(557\) | 1.16401e6 | − | 3.58245e6i | 0.158971 | − | 0.489263i | −0.839570 | − | 0.543251i | \(-0.817193\pi\) |
0.998542 | + | 0.0539880i | \(0.0171933\pi\) | |||||||
\(558\) | −1.50139e6 | − | 4.62081e6i | −0.204131 | − | 0.628250i | ||||
\(559\) | −55646.4 | + | 40429.5i | −0.00753195 | + | 0.00547228i | ||||
\(560\) | 1.33206e7 | 1.79495 | ||||||||
\(561\) | −3.33035e6 | − | 1.11360e6i | −0.446768 | − | 0.149390i | ||||
\(562\) | −1.02774e7 | −1.37259 | ||||||||
\(563\) | 5.45786e6 | − | 3.96536e6i | 0.725690 | − | 0.527245i | −0.162507 | − | 0.986707i | \(-0.551958\pi\) |
0.888197 | + | 0.459463i | \(0.151958\pi\) | |||||||
\(564\) | −240267. | − | 739467.i | −0.0318051 | − | 0.0978860i | ||||
\(565\) | 1.34383e6 | − | 4.13589e6i | 0.177102 | − | 0.545065i | ||||
\(566\) | −1.26474e6 | − | 918886.i | −0.165943 | − | 0.120565i | ||||
\(567\) | −9.95871e6 | − | 7.23542e6i | −1.30090 | − | 0.945162i | ||||
\(568\) | −314239. | + | 967129.i | −0.0408686 | + | 0.125781i | ||||
\(569\) | 2.14422e6 | + | 6.59922e6i | 0.277644 | + | 0.854500i | 0.988508 | + | 0.151170i | \(0.0483042\pi\) |
−0.710864 | + | 0.703330i | \(0.751696\pi\) | |||||||
\(570\) | −2.23541e7 | + | 1.62412e7i | −2.88184 | + | 2.09378i | ||||
\(571\) | −9.40986e6 | −1.20779 | −0.603897 | − | 0.797062i | \(-0.706386\pi\) | ||||
−0.603897 | + | 0.797062i | \(0.706386\pi\) | |||||||
\(572\) | 1.97101e6 | − | 621878.i | 0.251883 | − | 0.0794722i | ||||
\(573\) | −1.18882e7 | −1.51262 | ||||||||
\(574\) | 7.61426e6 | − | 5.53208e6i | 0.964602 | − | 0.700824i | ||||
\(575\) | −1.80189e6 | − | 5.54564e6i | −0.227278 | − | 0.699491i | ||||
\(576\) | −1.15441e6 | + | 3.55290e6i | −0.144978 | + | 0.446197i | ||||
\(577\) | 3.04535e6 | + | 2.21258e6i | 0.380801 | + | 0.276668i | 0.761675 | − | 0.647959i | \(-0.224377\pi\) |
−0.380875 | + | 0.924627i | \(0.624377\pi\) | |||||||
\(578\) | 7.73654e6 | + | 5.62093e6i | 0.963224 | + | 0.699823i | ||||
\(579\) | −4.96659e6 | + | 1.52856e7i | −0.615689 | + | 1.89490i | ||||
\(580\) | −1.55374e6 | − | 4.78193e6i | −0.191783 | − | 0.590246i | ||||
\(581\) | −2.04995e6 | + | 1.48937e6i | −0.251943 | + | 0.183047i | ||||
\(582\) | 2.04221e7 | 2.49915 | ||||||||
\(583\) | 2.35228e6 | + | 3.29642e6i | 0.286628 | + | 0.401672i | ||||
\(584\) | −597787. | −0.0725295 | ||||||||
\(585\) | −1.35134e6 | + | 981807.i | −0.163258 | + | 0.118614i | ||||
\(586\) | −1.00626e6 | − | 3.09694e6i | −0.121050 | − | 0.372553i | ||||
\(587\) | −3.22700e6 | + | 9.93168e6i | −0.386548 | + | 1.18967i | 0.548803 | + | 0.835952i | \(0.315084\pi\) |
−0.935351 | + | 0.353721i | \(0.884916\pi\) | |||||||
\(588\) | 5.19139e6 | + | 3.77177e6i | 0.619214 | + | 0.449885i | ||||
\(589\) | −9.35467e6 | − | 6.79656e6i | −1.11107 | − | 0.807237i | ||||
\(590\) | 7.08192e6 | − | 2.17959e7i | 0.837570 | − | 2.57777i | ||||
\(591\) | −3.45871e6 | − | 1.06448e7i | −0.407329 | − | 1.25363i | ||||
\(592\) | 2.71026e6 | − | 1.96912e6i | 0.317839 | − | 0.230923i | ||||
\(593\) | 6.86016e6 | 0.801120 | 0.400560 | − | 0.916271i | \(-0.368816\pi\) | ||||
0.400560 | + | 0.916271i | \(0.368816\pi\) | |||||||
\(594\) | 57837.7 | − | 6.77861e6i | 0.00672582 | − | 0.788269i | ||||
\(595\) | 5.53353e6 | 0.640781 | ||||||||
\(596\) | 2.75172e6 | − | 1.99924e6i | 0.317314 | − | 0.230542i | ||||
\(597\) | −475352. | − | 1.46298e6i | −0.0545858 | − | 0.167998i | ||||
\(598\) | −1.08496e6 | + | 3.33916e6i | −0.124068 | + | 0.381842i | ||||
\(599\) | 2.45587e6 | + | 1.78429e6i | 0.279665 | + | 0.203189i | 0.718771 | − | 0.695247i | \(-0.244705\pi\) |
−0.439106 | + | 0.898435i | \(0.644705\pi\) | |||||||
\(600\) | −590701. | − | 429170.i | −0.0669869 | − | 0.0486688i | ||||
\(601\) | 3.98521e6 | − | 1.22652e7i | 0.450054 | − | 1.38512i | −0.426790 | − | 0.904351i | \(-0.640356\pi\) |
0.876844 | − | 0.480774i | \(-0.159644\pi\) | |||||||
\(602\) | −161975. | − | 498507.i | −0.0182161 | − | 0.0560634i | ||||
\(603\) | 3.08962e6 | − | 2.24474e6i | 0.346028 | − | 0.251404i | ||||
\(604\) | −1.25844e7 | −1.40359 | ||||||||
\(605\) | 9.43449e6 | + | 7.10364e6i | 1.04792 | + | 0.789029i | ||||
\(606\) | −776048. | −0.0858434 | ||||||||
\(607\) | −1.43107e7 | + | 1.03973e7i | −1.57648 | + | 1.14538i | −0.655890 | + | 0.754856i | \(0.727707\pi\) |
−0.920592 | + | 0.390525i | \(0.872293\pi\) | |||||||
\(608\) | 6.12901e6 | + | 1.88632e7i | 0.672406 | + | 2.06945i | ||||
\(609\) | −2.29462e6 | + | 7.06210e6i | −0.250707 | + | 0.771597i | ||||
\(610\) | 7.85824e6 | + | 5.70935e6i | 0.855068 | + | 0.621244i | ||||
\(611\) | −187442. | − | 136185.i | −0.0203125 | − | 0.0147579i | ||||
\(612\) | −551014. | + | 1.69585e6i | −0.0594681 | + | 0.183024i | ||||
\(613\) | −5.45654e6 | − | 1.67935e7i | −0.586497 | − | 1.80505i | −0.593173 | − | 0.805075i | \(-0.702125\pi\) |
0.00667637 | − | 0.999978i | \(-0.497875\pi\) | |||||||
\(614\) | 4.87838e6 | − | 3.54435e6i | 0.522221 | − | 0.379416i | ||||
\(615\) | −1.01742e7 | −1.08471 | ||||||||
\(616\) | 9572.73 | − | 1.12193e6i | 0.00101645 | − | 0.119128i | ||||
\(617\) | −1.06278e7 | −1.12390 | −0.561951 | − | 0.827170i | \(-0.689949\pi\) | ||||
−0.561951 | + | 0.827170i | \(0.689949\pi\) | |||||||
\(618\) | 8.30230e6 | − | 6.03197e6i | 0.874434 | − | 0.635314i | ||||
\(619\) | −559306. | − | 1.72137e6i | −0.0586709 | − | 0.180571i | 0.917426 | − | 0.397907i | \(-0.130263\pi\) |
−0.976097 | + | 0.217336i | \(0.930263\pi\) | |||||||
\(620\) | −3.16454e6 | + | 9.73946e6i | −0.330622 | + | 1.01755i | ||||
\(621\) | 4.49799e6 | + | 3.26798e6i | 0.468047 | + | 0.340056i | ||||
\(622\) | 9.53980e6 | + | 6.93107e6i | 0.988697 | + | 0.718330i | ||||
\(623\) | −5.23787e6 | + | 1.61205e7i | −0.540673 | + | 1.66402i | ||||
\(624\) | 1.12221e6 | + | 3.45381e6i | 0.115375 | + | 0.355089i | ||||
\(625\) | 9.49083e6 | − | 6.89549e6i | 0.971861 | − | 0.706099i | ||||
\(626\) | 7.51426e6 | 0.766391 | ||||||||
\(627\) | 1.11668e7 | + | 1.56488e7i | 1.13438 | + | 1.58969i | ||||
\(628\) | −1.46620e7 | −1.48352 | ||||||||
\(629\) | 1.12588e6 | − | 817997.i | 0.113466 | − | 0.0824376i | ||||
\(630\) | −3.93346e6 | − | 1.21060e7i | −0.394842 | − | 1.21520i | ||||
\(631\) | −4.66477e6 | + | 1.43567e7i | −0.466398 | + | 1.43542i | 0.390818 | + | 0.920468i | \(0.372192\pi\) |
−0.857216 | + | 0.514957i | \(0.827808\pi\) | |||||||
\(632\) | −169530. | − | 123171.i | −0.0168831 | − | 0.0122663i | ||||
\(633\) | 8.68554e6 | + | 6.31041e6i | 0.861564 | + | 0.625963i | ||||
\(634\) | 1.99414e6 | − | 6.13733e6i | 0.197030 | − | 0.606396i | ||||
\(635\) | −6.14601e6 | − | 1.89155e7i | −0.604866 | − | 1.86159i | ||||
\(636\) | 4.72329e6 | − | 3.43167e6i | 0.463022 | − | 0.336406i | ||||
\(637\) | 1.91216e6 | 0.186713 | ||||||||
\(638\) | −6.90995e6 | + | 2.18018e6i | −0.672084 | + | 0.212051i | ||||
\(639\) | 8.02686e6 | 0.777666 | ||||||||
\(640\) | −2.02916e6 | + | 1.47427e6i | −0.195825 | + | 0.142275i | ||||
\(641\) | 259308. | + | 798067.i | 0.0249270 | + | 0.0767175i | 0.962746 | − | 0.270407i | \(-0.0871582\pi\) |
−0.937819 | + | 0.347124i | \(0.887158\pi\) | |||||||
\(642\) | 1.66268e6 | − | 5.11721e6i | 0.159210 | − | 0.489999i | ||||
\(643\) | −9.95423e6 | − | 7.23217e6i | −0.949467 | − | 0.689828i | 0.00121342 | − | 0.999999i | \(-0.499614\pi\) |
−0.950681 | + | 0.310171i | \(0.899614\pi\) | |||||||
\(644\) | −1.04507e7 | − | 7.59285e6i | −0.992953 | − | 0.721423i | ||||
\(645\) | −175097. | + | 538893.i | −0.0165722 | + | 0.0510039i | ||||
\(646\) | 2.71613e6 | + | 8.35940e6i | 0.256077 | + | 0.788123i | ||||
\(647\) | −5.92951e6 | + | 4.30804e6i | −0.556876 | + | 0.404594i | −0.830314 | − | 0.557296i | \(-0.811839\pi\) |
0.273439 | + | 0.961889i | \(0.411839\pi\) | |||||||
\(648\) | 1.23359e6 | 0.115407 | ||||||||
\(649\) | −1.51220e7 | − | 5.05648e6i | −1.40928 | − | 0.471234i | ||||
\(650\) | 3.05427e6 | 0.283547 | ||||||||
\(651\) | 1.22354e7 | − | 8.88951e6i | 1.13153 | − | 0.822101i | ||||
\(652\) | −607842. | − | 1.87074e6i | −0.0559979 | − | 0.172344i | ||||
\(653\) | 5.51856e6 | − | 1.69844e7i | 0.506457 | − | 1.55871i | −0.291851 | − | 0.956464i | \(-0.594271\pi\) |
0.798307 | − | 0.602250i | \(-0.205729\pi\) | |||||||
\(654\) | −1.74216e7 | − | 1.26575e7i | −1.59273 | − | 1.15719i | ||||
\(655\) | 2.13120e7 | + | 1.54841e7i | 1.94098 | + | 1.41020i | ||||
\(656\) | −2.40754e6 | + | 7.40965e6i | −0.218431 | + | 0.672262i | ||||
\(657\) | 1.45813e6 | + | 4.48766e6i | 0.131790 | + | 0.405608i | ||||
\(658\) | 1.42841e6 | − | 1.03780e6i | 0.128614 | − | 0.0934434i | ||||
\(659\) | 2.63581e6 | 0.236429 | 0.118215 | − | 0.992988i | \(-0.462283\pi\) | ||||
0.118215 | + | 0.992988i | \(0.462283\pi\) | |||||||
\(660\) | 1.01248e7 | − | 1.36884e7i | 0.904745 | − | 1.22319i | ||||
\(661\) | 1.63578e7 | 1.45620 | 0.728100 | − | 0.685471i | \(-0.240403\pi\) | ||||
0.728100 | + | 0.685471i | \(0.240403\pi\) | |||||||
\(662\) | −2.23900e7 | + | 1.62673e7i | −1.98568 | + | 1.44268i | ||||
\(663\) | 466181. | + | 1.43476e6i | 0.0411880 | + | 0.126764i | ||||
\(664\) | 78467.9 | − | 241499.i | 0.00690672 | − | 0.0212567i | ||||
\(665\) | −2.45081e7 | − | 1.78062e7i | −2.14909 | − | 1.56141i | ||||
\(666\) | −2.58989e6 | − | 1.88167e6i | −0.226254 | − | 0.164383i | ||||
\(667\) | 1.83641e6 | − | 5.65189e6i | 0.159829 | − | 0.491902i | ||||
\(668\) | −1.33766e6 | − | 4.11689e6i | −0.115986 | − | 0.356967i | ||||
\(669\) | 128291. | − | 93209.2i | 0.0110824 | − | 0.00805181i | ||||
\(670\) | −1.66722e7 | −1.43485 | ||||||||
\(671\) | 4.01880e6 | − | 5.43331e6i | 0.344580 | − | 0.465863i | ||||
\(672\) | −2.59416e7 | −2.21602 | ||||||||
\(673\) | 3.30858e6 | − | 2.40383e6i | 0.281582 | − | 0.204581i | −0.438025 | − | 0.898963i | \(-0.644322\pi\) |
0.719607 | + | 0.694382i | \(0.244322\pi\) | |||||||
\(674\) | −1.08239e6 | − | 3.33124e6i | −0.0917768 | − | 0.282460i | ||||
\(675\) | 1.49459e6 | − | 4.59986e6i | 0.126259 | − | 0.388585i | ||||
\(676\) | 8.25471e6 | + | 5.99740e6i | 0.694760 | + | 0.504773i | ||||
\(677\) | −9.89407e6 | − | 7.18846e6i | −0.829666 | − | 0.602788i | 0.0897989 | − | 0.995960i | \(-0.471378\pi\) |
−0.919465 | + | 0.393172i | \(0.871378\pi\) | |||||||
\(678\) | −2.79190e6 | + | 8.59260e6i | −0.233253 | + | 0.717877i | ||||
\(679\) | 6.91887e6 | + | 2.12941e7i | 0.575918 | + | 1.77249i | ||||
\(680\) | −448626. | + | 325946.i | −0.0372059 | + | 0.0270317i | ||||
\(681\) | 4.60692e6 | 0.380665 | ||||||||
\(682\) | 1.39958e7 | + | 4.67991e6i | 1.15223 | + | 0.385280i | ||||
\(683\) | 1.91987e7 | 1.57478 | 0.787391 | − | 0.616454i | \(-0.211431\pi\) | ||||
0.787391 | + | 0.616454i | \(0.211431\pi\) | |||||||
\(684\) | 7.89746e6 | − | 5.73784e6i | 0.645427 | − | 0.468930i | ||||
\(685\) | 5.95822e6 | + | 1.83375e7i | 0.485166 | + | 1.49319i | ||||
\(686\) | 2.32061e6 | − | 7.14210e6i | 0.188275 | − | 0.579450i | ||||
\(687\) | −5.70300e6 | − | 4.14347e6i | −0.461011 | − | 0.334944i | ||||
\(688\) | 351030. | + | 255038.i | 0.0282730 | + | 0.0205416i | ||||
\(689\) | 537610. | − | 1.65459e6i | 0.0431439 | − | 0.132783i | ||||
\(690\) | 8.93778e6 | + | 2.75076e7i | 0.714672 | + | 2.19953i | ||||
\(691\) | 5.35884e6 | − | 3.89342e6i | 0.426948 | − | 0.310196i | −0.353479 | − | 0.935442i | \(-0.615001\pi\) |
0.780428 | + | 0.625246i | \(0.215001\pi\) | |||||||
\(692\) | 6.30747e6 | 0.500714 | ||||||||
\(693\) | −8.44581e6 | + | 2.66476e6i | −0.668049 | + | 0.210778i | ||||
\(694\) | 1.95928e7 | 1.54418 | ||||||||
\(695\) | 2.12458e6 | − | 1.54359e6i | 0.166844 | − | 0.121219i | ||||
\(696\) | −229951. | − | 707715.i | −0.0179933 | − | 0.0553778i | ||||
\(697\) | −1.00012e6 | + | 3.07807e6i | −0.0779780 | + | 0.239992i | ||||
\(698\) | 2.86065e7 | + | 2.07838e7i | 2.22242 | + | 1.61468i | ||||
\(699\) | −8.16740e6 | − | 5.93396e6i | −0.632253 | − | 0.459359i | ||||
\(700\) | −3.47253e6 | + | 1.06873e7i | −0.267856 | + | 0.824375i | ||||
\(701\) | 992573. | + | 3.05482e6i | 0.0762899 | + | 0.234796i | 0.981928 | − | 0.189256i | \(-0.0606074\pi\) |
−0.905638 | + | 0.424052i | \(0.860607\pi\) | |||||||
\(702\) | −2.35603e6 | + | 1.71176e6i | −0.180442 | + | 0.131099i | ||||
\(703\) | −7.61874e6 | −0.581427 | ||||||||
\(704\) | −6.59100e6 | − | 9.23644e6i | −0.501210 | − | 0.702382i | ||||
\(705\) | −1.90865e6 | −0.144628 | ||||||||
\(706\) | −1.11183e7 | + | 8.07794e6i | −0.839513 | + | 0.609942i | ||||
\(707\) | −262920. | − | 809185.i | −0.0197822 | − | 0.0608835i | ||||
\(708\) | −7.10357e6 | + | 2.18625e7i | −0.532590 | + | 1.63914i | ||||
\(709\) | 591691. | + | 429889.i | 0.0442058 | + | 0.0321174i | 0.609669 | − | 0.792656i | \(-0.291302\pi\) |
−0.565463 | + | 0.824774i | \(0.691302\pi\) | |||||||
\(710\) | −2.83498e7 | − | 2.05973e7i | −2.11059 | − | 1.53343i | ||||
\(711\) | −511138. | + | 1.57312e6i | −0.0379196 | + | 0.116705i | ||||
\(712\) | −524904. | − | 1.61549e6i | −0.0388043 | − | 0.119427i | ||||
\(713\) | −9.79211e6 | + | 7.11439e6i | −0.721361 | + | 0.524099i | ||||
\(714\) | −1.14963e7 | −0.843940 | ||||||||
\(715\) | 43287.7 | − | 5.07334e6i | 0.00316665 | − | 0.371133i | ||||
\(716\) | 2.17478e7 | 1.58538 | ||||||||
\(717\) | 2.80906e6 | − | 2.04090e6i | 0.204063 | − | 0.148260i | ||||
\(718\) | −1.05988e7 | − | 3.26197e7i | −0.767264 | − | 2.36140i | ||||
\(719\) | 1.15550e6 | − | 3.55626e6i | 0.0833579 | − | 0.256549i | −0.900687 | − | 0.434468i | \(-0.856936\pi\) |
0.984045 | + | 0.177919i | \(0.0569364\pi\) | |||||||
\(720\) | 8.52456e6 | + | 6.19345e6i | 0.612831 | + | 0.445248i | ||||
\(721\) | 9.10230e6 | + | 6.61321e6i | 0.652098 | + | 0.473777i | ||||
\(722\) | 8.85103e6 | − | 2.72407e7i | 0.631904 | − | 1.94480i | ||||
\(723\) | 6.44624e6 | + | 1.98395e7i | 0.458628 | + | 1.41151i | ||||
\(724\) | 1.51750e7 | − | 1.10253e7i | 1.07592 | − | 0.781704i | ||||
\(725\) | −5.16969e6 | −0.365275 | ||||||||
\(726\) | −1.96008e7 | − | 1.47583e7i | −1.38017 | − | 1.03919i | ||||
\(727\) | −1.55643e7 | −1.09218 | −0.546088 | − | 0.837728i | \(-0.683884\pi\) | ||||
−0.546088 | + | 0.837728i | \(0.683884\pi\) | |||||||
\(728\) | −389947. | + | 283313.i | −0.0272695 | + | 0.0198125i | ||||
\(729\) | 114240. | + | 351595.i | 0.00796160 | + | 0.0245033i | ||||
\(730\) | 6.36566e6 | − | 1.95915e7i | 0.442116 | − | 1.36069i | ||||
\(731\) | 145822. | + | 105946.i | 0.0100932 | + | 0.00733316i | ||||
\(732\) | −7.88226e6 | − | 5.72680e6i | −0.543717 | − | 0.395034i | ||||
\(733\) | 5.76528e6 | − | 1.77437e7i | 0.396334 | − | 1.21979i | −0.531585 | − | 0.847005i | \(-0.678403\pi\) |
0.927918 | − | 0.372784i | \(-0.121597\pi\) | |||||||
\(734\) | 7.86742e6 | + | 2.42134e7i | 0.539005 | + | 1.65889i | ||||
\(735\) | 1.27438e7 | − | 9.25889e6i | 0.870121 | − | 0.632180i | ||||
\(736\) | 2.07614e7 | 1.41274 | ||||||||
\(737\) | −98970.1 | + | 1.15993e7i | −0.00671174 | + | 0.786619i | ||||
\(738\) | 7.44496e6 | 0.503178 | ||||||||
\(739\) | −1.76021e7 | + | 1.27887e7i | −1.18564 | + | 0.861419i | −0.992797 | − | 0.119810i | \(-0.961771\pi\) |
−0.192845 | + | 0.981229i | \(0.561771\pi\) | |||||||
\(740\) | 2.08508e6 | + | 6.41723e6i | 0.139973 | + | 0.430793i | ||||
\(741\) | 2.55214e6 | − | 7.85468e6i | 0.170749 | − | 0.525512i | ||||
\(742\) | 1.07257e7 | + | 7.79271e6i | 0.715184 | + | 0.519612i | ||||
\(743\) | −2.16453e7 | − | 1.57262e7i | −1.43844 | − | 1.04509i | −0.988366 | − | 0.152097i | \(-0.951397\pi\) |
−0.450075 | − | 0.892991i | \(-0.648603\pi\) | |||||||
\(744\) | −468345. | + | 1.44142e6i | −0.0310194 | + | 0.0954680i | ||||
\(745\) | −2.58014e6 | − | 7.94086e6i | −0.170315 | − | 0.524175i | ||||
\(746\) | −2.42809e7 | + | 1.76411e7i | −1.59742 | + | 1.16059i | ||||
\(747\) | −2.00437e6 | −0.131424 | ||||||||
\(748\) | −3.14597e6 | − | 4.40868e6i | −0.205589 | − | 0.288107i | ||||
\(749\) | 5.89902e6 | 0.384216 | ||||||||
\(750\) | −7.88813e6 | + | 5.73106e6i | −0.512060 | + | 0.372034i | ||||
\(751\) | 387453. | + | 1.19246e6i | 0.0250680 | + | 0.0771513i | 0.962808 | − | 0.270187i | \(-0.0870855\pi\) |
−0.937740 | + | 0.347338i | \(0.887086\pi\) | |||||||
\(752\) | −451646. | + | 1.39002e6i | −0.0291242 | + | 0.0896351i | ||||
\(753\) | −2.29756e7 | − | 1.66928e7i | −1.47666 | − | 1.07285i | ||||
\(754\) | 2.51830e6 | + | 1.82965e6i | 0.161317 | + | 0.117203i | ||||
\(755\) | −9.54617e6 | + | 2.93801e7i | −0.609483 | + | 1.87580i | ||||
\(756\) | −3.31102e6 | − | 1.01903e7i | −0.210696 | − | 0.648457i | ||||
\(757\) | −893821. | + | 649399.i | −0.0566906 | + | 0.0411881i | −0.615770 | − | 0.787926i | \(-0.711155\pi\) |
0.559079 | + | 0.829114i | \(0.311155\pi\) | |||||||
\(758\) | −2.31757e7 | −1.46507 | ||||||||
\(759\) | 1.91909e7 | − | 6.05497e6i | 1.20918 | − | 0.381512i | ||||
\(760\) | 3.03583e6 | 0.190653 | ||||||||
\(761\) | 1.64027e7 | − | 1.19173e7i | 1.02672 | − | 0.745959i | 0.0590736 | − | 0.998254i | \(-0.481185\pi\) |
0.967650 | + | 0.252295i | \(0.0811853\pi\) | |||||||
\(762\) | 1.27688e7 | + | 3.92982e7i | 0.796638 | + | 2.45180i | ||||
\(763\) | 7.29568e6 | − | 2.24538e7i | 0.453685 | − | 1.39630i | ||||
\(764\) | −1.48338e7 | − | 1.07774e7i | −0.919429 | − | 0.668004i | ||||
\(765\) | 3.54121e6 | + | 2.57284e6i | 0.218775 | + | 0.158950i | ||||
\(766\) | −3.08335e6 | + | 9.48959e6i | −0.189868 | + | 0.584353i | ||||
\(767\) | 2.11677e6 | + | 6.51475e6i | 0.129923 | + | 0.399861i | ||||
\(768\) | 1.83930e7 | − | 1.33633e7i | 1.12525 | − | 0.817542i | ||||
\(769\) | 1.22086e7 | 0.744475 | 0.372237 | − | 0.928138i | \(-0.378591\pi\) | ||||
0.372237 | + | 0.928138i | \(0.378591\pi\) | |||||||
\(770\) | 3.66674e7 | + | 1.22608e7i | 2.22871 | + | 0.745233i | ||||
\(771\) | −1.95731e7 | −1.18583 | ||||||||
\(772\) | −2.00545e7 | + | 1.45704e7i | −1.21107 | + | 0.879891i | ||||
\(773\) | 3.44879e6 | + | 1.06143e7i | 0.207596 | + | 0.638914i | 0.999597 | + | 0.0283941i | \(0.00903935\pi\) |
−0.792001 | + | 0.610520i | \(0.790961\pi\) | |||||||
\(774\) | 128127. | − | 394333.i | 0.00768753 | − | 0.0236598i | ||||
\(775\) | 8.51832e6 | + | 6.18892e6i | 0.509448 | + | 0.370135i | ||||
\(776\) | −1.81524e6 | − | 1.31885e6i | −0.108213 | − | 0.0786216i | ||||
\(777\) | 3.07931e6 | − | 9.47716e6i | 0.182979 | − | 0.563152i | ||||
\(778\) | −570492. | − | 1.75579e6i | −0.0337910 | − | 0.103998i | ||||
\(779\) | 1.43344e7 | − | 1.04145e7i | 0.846322 | − | 0.614889i | ||||
\(780\) | −7.31442e6 | −0.430471 | ||||||||
\(781\) | −1.44984e7 | + | 1.96015e7i | −0.850538 | + | 1.14990i | ||||
\(782\) | 9.20062e6 | 0.538022 | ||||||||
\(783\) | 3.98784e6 | − | 2.89734e6i | 0.232452 | − | 0.168886i | ||||
\(784\) | −3.72746e6 | − | 1.14719e7i | −0.216582 | − | 0.666571i | ||||
\(785\) | −1.11221e7 | + | 3.42304e7i | −0.644191 | + | 1.98262i | ||||
\(786\) | −4.42771e7 | − | 3.21692e7i | −2.55636 | − | 1.85731i | ||||
\(787\) | 9.60832e6 | + | 6.98086e6i | 0.552982 | + | 0.401765i | 0.828884 | − | 0.559421i | \(-0.188976\pi\) |
−0.275902 | + | 0.961186i | \(0.588976\pi\) | |||||||
\(788\) | 5.33448e6 | − | 1.64178e7i | 0.306039 | − | 0.941891i | ||||
\(789\) | −4.14285e6 | − | 1.27504e7i | −0.236923 | − | 0.729173i | ||||
\(790\) | 5.84198e6 | − | 4.24445e6i | 0.333037 | − | 0.241966i | ||||
\(791\) | −9.90538e6 | −0.562898 | ||||||||
\(792\) | 527772. | − | 713533.i | 0.0298974 | − | 0.0404205i | ||||
\(793\) | −2.90329e6 | −0.163949 | ||||||||
\(794\) | 3.45385e7 | − | 2.50937e7i | 1.94425 | − | 1.41258i | ||||
\(795\) | −4.42878e6 | − | 1.36304e7i | −0.248523 | − | 0.764874i | ||||
\(796\) | 733151. | − | 2.25641e6i | 0.0410120 | − | 0.126222i | ||||
\(797\) | 2.40104e7 | + | 1.74446e7i | 1.33892 | + | 0.972781i | 0.999483 | + | 0.0321520i | \(0.0102361\pi\) |
0.339436 | + | 0.940629i | \(0.389764\pi\) | |||||||
\(798\) | 5.09172e7 | + | 3.69935e7i | 2.83046 | + | 2.05645i | ||||
\(799\) | −187620. | + | 577434.i | −0.0103971 | + | 0.0319989i | ||||
\(800\) | −5.58105e6 | − | 1.71767e7i | −0.308312 | − | 0.948888i | ||||
\(801\) | −1.08473e7 | + | 7.88104e6i | −0.597367 | + | 0.434012i | ||||
\(802\) | −1.18113e6 | −0.0648427 | ||||||||
\(803\) | −1.35926e7 | − | 4.54507e6i | −0.743896 | − | 0.248743i | ||||
\(804\) | 1.67232e7 | 0.912387 | ||||||||
\(805\) | −2.56542e7 | + | 1.86388e7i | −1.39530 | + | 1.01375i | ||||
\(806\) | −1.95913e6 | − | 6.02959e6i | −0.106225 | − | 0.326926i | ||||
\(807\) | 793776. | − | 2.44299e6i | 0.0429056 | − | 0.132050i | ||||
\(808\) | 68980.1 | + | 50117.0i | 0.00371703 | + | 0.00270058i | ||||
\(809\) | 1.42224e7 | + | 1.03332e7i | 0.764017 | + | 0.555091i | 0.900140 | − | 0.435601i | \(-0.143464\pi\) |
−0.136123 | + | 0.990692i | \(0.543464\pi\) | |||||||
\(810\) | −1.31361e7 | + | 4.04288e7i | −0.703484 | + | 2.16510i | ||||
\(811\) | −1.68232e6 | − | 5.17766e6i | −0.0898168 | − | 0.276428i | 0.896051 | − | 0.443950i | \(-0.146423\pi\) |
−0.985868 | + | 0.167522i | \(0.946423\pi\) | |||||||
\(812\) | −9.26537e6 | + | 6.73169e6i | −0.493143 | + | 0.358289i | ||||
\(813\) | 2.24159e7 | 1.18941 | ||||||||
\(814\) | 9.27298e6 | − | 2.92574e6i | 0.490522 | − | 0.154766i | ||||
\(815\) | −4.82861e6 | −0.254641 | ||||||||
\(816\) | 7.69904e6 | − | 5.59368e6i | 0.404772 | − | 0.294084i | ||||
\(817\) | −304929. | − | 938474.i | −0.0159824 | − | 0.0491889i | ||||
\(818\) | −6.83607e6 | + | 2.10393e7i | −0.357210 | + | 1.09938i | ||||
\(819\) | 3.07803e6 | + | 2.23632e6i | 0.160348 | + | 0.116500i | ||||
\(820\) | −1.26951e7 | − | 9.22355e6i | −0.659329 | − | 0.479031i | ||||
\(821\) | 4.69029e6 | − | 1.44352e7i | 0.242852 | − | 0.747422i | −0.753130 | − | 0.657871i | \(-0.771457\pi\) |
0.995982 | − | 0.0895502i | \(-0.0285430\pi\) | |||||||
\(822\) | −1.23786e7 | − | 3.80974e7i | −0.638987 | − | 1.96660i | ||||
\(823\) | 27134.1 | − | 19714.1i | 0.00139642 | − | 0.00101456i | −0.587087 | − | 0.809524i | \(-0.699725\pi\) |
0.588483 | + | 0.808509i | \(0.299725\pi\) | |||||||
\(824\) | −1.12750e6 | −0.0578496 | ||||||||
\(825\) | −1.01684e7 | − | 1.42497e7i | −0.520137 | − | 0.728905i | ||||
\(826\) | −5.22008e7 | −2.66211 | ||||||||
\(827\) | −3.18016e6 | + | 2.31052e6i | −0.161691 | + | 0.117475i | −0.665688 | − | 0.746230i | \(-0.731862\pi\) |
0.503998 | + | 0.863705i | \(0.331862\pi\) | |||||||
\(828\) | −3.15762e6 | − | 9.71817e6i | −0.160061 | − | 0.492616i | ||||
\(829\) | −9.59666e6 | + | 2.95355e7i | −0.484991 | + | 1.49265i | 0.347002 | + | 0.937864i | \(0.387200\pi\) |
−0.831993 | + | 0.554785i | \(0.812800\pi\) | |||||||
\(830\) | 7.07916e6 | + | 5.14331e6i | 0.356686 | + | 0.259148i | ||||
\(831\) | 3.84453e6 | + | 2.79321e6i | 0.193126 | + | 0.140314i | ||||
\(832\) | −1.50636e6 | + | 4.63610e6i | −0.0754433 | + | 0.232191i | ||||
\(833\) | −1.54843e6 | − | 4.76559e6i | −0.0773179 | − | 0.237960i | ||||
\(834\) | −4.41395e6 | + | 3.20692e6i | −0.219742 | + | 0.159652i | ||||
\(835\) | −1.06262e7 | −0.527425 | ||||||||
\(836\) | −252981. | + | 2.96494e7i | −0.0125191 | + | 1.46724i | ||||
\(837\) | −1.00395e7 | −0.495335 | ||||||||
\(838\) | 2.86589e7 | − | 2.08219e7i | 1.40977 | − | 1.02426i | ||||
\(839\) | −5.45493e6 | − | 1.67885e7i | −0.267537 | − | 0.823394i | −0.991098 | − | 0.133134i | \(-0.957496\pi\) |
0.723561 | − | 0.690260i | \(-0.242504\pi\) | |||||||
\(840\) | −1.22701e6 | + | 3.77634e6i | −0.0599997 | + | 0.184660i | ||||
\(841\) | 1.23314e7 | + | 8.95927e6i | 0.601203 | + | 0.436800i | ||||
\(842\) | −1.74603e7 | − | 1.26857e7i | −0.848736 | − | 0.616643i | ||||
\(843\) | 7.81996e6 | − | 2.40674e7i | 0.378997 | − | 1.16643i | ||||
\(844\) | 5.11681e6 | + | 1.57479e7i | 0.247254 | + | 0.760969i | ||||
\(845\) | 2.02636e7 | − | 1.47223e7i | 0.976279 | − | 0.709308i | ||||
\(846\) | 1.39665e6 | 0.0670905 | ||||||||
\(847\) | 8.74786e6 | − | 2.54378e7i | 0.418980 | − | 1.21835i | ||||
\(848\) | −1.09747e7 | −0.524085 | ||||||||
\(849\) | 3.11415e6 | − | 2.26257e6i | 0.148276 | − | 0.107729i | ||||
\(850\) | −2.47330e6 | − | 7.61203e6i | −0.117417 | − | 0.361371i | ||||
\(851\) | −2.46441e6 | + | 7.58469e6i | −0.116651 | + | 0.359016i | ||||
\(852\) | 2.84365e7 | + | 2.06603e7i | 1.34207 | + | 0.975074i | ||||
\(853\) | −2.20539e7 | − | 1.60231e7i | −1.03780 | − | 0.754003i | −0.0679421 | − | 0.997689i | \(-0.521643\pi\) |
−0.969854 | + | 0.243686i | \(0.921643\pi\) | |||||||
\(854\) | 6.83689e6 | − | 2.10418e7i | 0.320785 | − | 0.987274i | ||||
\(855\) | −7.40502e6 | − | 2.27903e7i | −0.346427 | − | 1.06619i | ||||
\(856\) | −478258. | + | 347475.i | −0.0223089 | + | 0.0162083i | ||||
\(857\) | 2.11835e7 | 0.985248 | 0.492624 | − | 0.870242i | \(-0.336038\pi\) | ||||
0.492624 | + | 0.870242i | \(0.336038\pi\) | |||||||
\(858\) | −89933.2 | + | 1.05402e7i | −0.00417063 | + | 0.488800i | ||||
\(859\) | −651618. | −0.0301308 | −0.0150654 | − | 0.999887i | \(-0.504796\pi\) | ||||
−0.0150654 | + | 0.999887i | \(0.504796\pi\) | |||||||
\(860\) | −707020. | + | 513680.i | −0.0325976 | + | 0.0236835i | ||||
\(861\) | 7.16131e6 | + | 2.20402e7i | 0.329219 | + | 1.01323i | ||||
\(862\) | 1.67648e6 | − | 5.15968e6i | 0.0768477 | − | 0.236513i | ||||
\(863\) | −7.41391e6 | − | 5.38652e6i | −0.338860 | − | 0.246196i | 0.405321 | − | 0.914175i | \(-0.367160\pi\) |
−0.744181 | + | 0.667978i | \(0.767160\pi\) | |||||||
\(864\) | 1.39318e7 | + | 1.01220e7i | 0.634926 | + | 0.461301i | ||||
\(865\) | 4.78466e6 | − | 1.47257e7i | 0.217426 | − | 0.669168i | ||||
\(866\) | −8.03362e6 | − | 2.47250e7i | −0.364013 | − | 1.12032i | ||||
\(867\) | −1.90496e7 | + | 1.38404e7i | −0.860674 | + | 0.625317i | ||||
\(868\) | 2.33258e7 | 1.05084 | ||||||||
\(869\) | −2.91830e6 | − | 4.08963e6i | −0.131094 | − | 0.183711i | ||||
\(870\) | 2.56429e7 | 1.14860 | ||||||||
\(871\) | 4.03157e6 | − | 2.92911e6i | 0.180065 | − | 0.130825i | ||||
\(872\) | 731123. | + | 2.25016e6i | 0.0325611 | + | 0.100213i | ||||
\(873\) | −5.47302e6 | + | 1.68442e7i | −0.243048 | + | 0.748024i | ||||
\(874\) | −4.07497e7 | − | 2.96064e7i | −1.80445 | − | 1.31101i | ||||
\(875\) | −8.64823e6 | − | 6.28331e6i | −0.381863 | − | 0.277439i | ||||
\(876\) | −6.38512e6 | + | 1.96514e7i | −0.281131 | + | 0.865232i | ||||
\(877\) | 7.43000e6 | + | 2.28672e7i | 0.326204 | + | 1.00395i | 0.970894 | + | 0.239509i | \(0.0769865\pi\) |
−0.644690 | + | 0.764444i | \(0.723014\pi\) | |||||||
\(878\) | −4.54285e7 | + | 3.30057e7i | −1.98881 | + | 1.44495i | ||||
\(879\) | 8.01799e6 | 0.350021 | ||||||||
\(880\) | −3.05218e7 | + | 9.63000e6i | −1.32863 | + | 0.419198i | ||||
\(881\) | −4.64205e6 | −0.201498 | −0.100749 | − | 0.994912i | \(-0.532124\pi\) | ||||
−0.100749 | + | 0.994912i | \(0.532124\pi\) | |||||||
\(882\) | −9.32521e6 | + | 6.77516e6i | −0.403633 | + | 0.293257i | ||||
\(883\) | 642034. | + | 1.97598e6i | 0.0277112 | + | 0.0852864i | 0.963956 | − | 0.266063i | \(-0.0857229\pi\) |
−0.936244 | + | 0.351349i | \(0.885723\pi\) | |||||||
\(884\) | −719005. | + | 2.21287e6i | −0.0309458 | + | 0.0952413i | ||||
\(885\) | 4.56527e7 | + | 3.31686e7i | 1.95933 | + | 1.42354i | ||||
\(886\) | 3.61777e7 | + | 2.62846e7i | 1.54831 | + | 1.12491i | ||||
\(887\) | −5.21179e6 | + | 1.60402e7i | −0.222422 | + | 0.684545i | 0.776121 | + | 0.630584i | \(0.217185\pi\) |
−0.998543 | + | 0.0539606i | \(0.982815\pi\) | |||||||
\(888\) | 308588. | + | 949736.i | 0.0131325 | + | 0.0404176i | ||||
\(889\) | −3.66503e7 | + | 2.66280e7i | −1.55533 | + | 1.13001i | ||||
\(890\) | 5.85344e7 | 2.47706 | ||||||||
\(891\) | 2.80495e7 | + | 9.37915e6i | 1.18367 | + | 0.395794i | ||||
\(892\) | 244578. | 0.0102921 | ||||||||
\(893\) | 2.68908e6 | − | 1.95373e6i | 0.112843 | − | 0.0819853i | ||||
\(894\) | 5.36042e6 | + | 1.64977e7i | 0.224313 | + | 0.690365i | ||||
\(895\) | 1.64972e7 | − | 5.07733e7i | 0.688420 | − | 2.11874i | ||||
\(896\) | 4.62195e6 | + | 3.35805e6i | 0.192334 | + | 0.139739i | ||||
\(897\) | −6.99403e6 | − | 5.08146e6i | −0.290233 | − | 0.210867i | ||||
\(898\) | −8.61550e6 | + | 2.65158e7i | −0.356525 | + | 1.09727i | ||||
\(899\) | 3.31605e6 | + | 1.02057e7i | 0.136843 | + | 0.421158i | ||||
\(900\) | −7.19139e6 | + | 5.22485e6i | −0.295942 | + | 0.215015i | ||||
\(901\) | −4.55902e6 | −0.187094 | ||||||||
\(902\) | −1.34474e7 | + | 1.81805e7i | −0.550328 | + | 0.744028i | ||||
\(903\) | 1.29064e6 | 0.0526726 | ||||||||
\(904\) | 803070. | − | 583465.i | 0.0326838 | − | 0.0237462i | ||||
\(905\) | −1.42287e7 | − | 4.37916e7i | −0.577491 | − | 1.77733i | ||||
\(906\) | 1.98328e7 | − | 6.10391e7i | 0.802720 | − | 2.47052i | ||||
\(907\) | 1.91896e7 | + | 1.39421e7i | 0.774548 | + | 0.562742i | 0.903338 | − | 0.428930i | \(-0.141109\pi\) |
−0.128790 | + | 0.991672i | \(0.541109\pi\) | |||||||
\(908\) | 5.74839e6 | + | 4.17645e6i | 0.231383 | + | 0.168110i | ||||
\(909\) | 207977. | − | 640088.i | 0.00834846 | − | 0.0256939i | ||||
\(910\) | −5.13269e6 | − | 1.57968e7i | −0.205467 | − | 0.632362i | ||||
\(911\) | 2.08554e7 | − | 1.51523e7i | 0.832574 | − | 0.604900i | −0.0877125 | − | 0.996146i | \(-0.527956\pi\) |
0.920286 | + | 0.391245i | \(0.127956\pi\) | |||||||
\(912\) | −5.20989e7 | −2.07416 | ||||||||
\(913\) | 3.62037e6 | − | 4.89464e6i | 0.143739 | − | 0.194332i | ||||
\(914\) | −1.61594e7 | −0.639822 | ||||||||
\(915\) | −1.93493e7 | + | 1.40581e7i | −0.764034 | + | 0.555103i | ||||
\(916\) | −3.35974e6 | − | 1.03402e7i | −0.132302 | − | 0.407184i | ||||
\(917\) | 1.85420e7 | − | 5.70664e7i | 0.728171 | − | 2.24108i | ||||
\(918\) | 6.17402e6 | + | 4.48569e6i | 0.241803 | + | 0.175680i | ||||
\(919\) | 2.81835e7 | + | 2.04765e7i | 1.10080 | + | 0.799775i | 0.981190 | − | 0.193046i | \(-0.0618367\pi\) |
0.119606 | + | 0.992821i | \(0.461837\pi\) | |||||||
\(920\) | 981990. | − | 3.02226e6i | 0.0382505 | − | 0.117723i | ||||
\(921\) | 4.58818e6 | + | 1.41210e7i | 0.178234 | + | 0.548549i | ||||
\(922\) | 3.67782e7 | − | 2.67209e7i | 1.42483 | − | 1.03520i | ||||
\(923\) | 1.04741e7 | 0.404679 | ||||||||
\(924\) | −3.67795e7 | − | 1.22983e7i | −1.41718 | − | 0.473876i | ||||
\(925\) | 6.93759e6 | 0.266596 | ||||||||
\(926\) | −3.01772e7 | + | 2.19250e7i | −1.15652 | + | 0.840258i | ||||
\(927\) | 2.75022e6 | + | 8.46432e6i | 0.105116 | + | 0.323514i | ||||
\(928\) | 5.68798e6 | − | 1.75058e7i | 0.216814 | − | 0.667286i | ||||
\(929\) | −2.22970e7 | − | 1.61997e7i | −0.847630 | − | 0.615840i | 0.0768613 | − | 0.997042i | \(-0.475510\pi\) |
−0.924492 | + | 0.381202i | \(0.875510\pi\) | |||||||
\(930\) | −4.22528e7 | − | 3.06985e7i | −1.60195 | − | 1.16388i | ||||
\(931\) | −8.47701e6 | + | 2.60895e7i | −0.320530 | + | 0.986489i | ||||
\(932\) | −4.81156e6 | − | 1.48085e7i | −0.181446 | − | 0.558432i | ||||
\(933\) | −2.34898e7 | + | 1.70663e7i | −0.883435 | + | 0.641853i | ||||
\(934\) | −3.06227e7 | −1.14862 | ||||||||
\(935\) | −1.26791e7 | + | 4.00042e6i | −0.474308 | + | 0.149650i | ||||
\(936\) | −381277. | −0.0142250 | ||||||||
\(937\) | 1.71930e7 | − | 1.24915e7i | 0.639740 | − | 0.464799i | −0.220021 | − | 0.975495i | \(-0.570612\pi\) |
0.859761 | + | 0.510697i | \(0.170612\pi\) | |||||||
\(938\) | 1.17350e7 | + | 3.61167e7i | 0.435489 | + | 1.34030i | ||||
\(939\) | −5.71753e6 | + | 1.75967e7i | −0.211614 | + | 0.651281i | ||||
\(940\) | −2.38156e6 | − | 1.73031e6i | −0.0879108 | − | 0.0638709i | ||||
\(941\) | −7.68824e6 | − | 5.58583e6i | −0.283043 | − | 0.205643i | 0.437200 | − | 0.899364i | \(-0.355970\pi\) |
−0.720244 | + | 0.693721i | \(0.755970\pi\) | |||||||
\(942\) | 2.31070e7 | − | 7.11161e7i | 0.848431 | − | 2.61120i | ||||
\(943\) | −5.73128e6 | − | 1.76391e7i | −0.209881 | − | 0.645947i | ||||
\(944\) | 3.49588e7 | − | 2.53990e7i | 1.27681 | − | 0.927656i | ||||
\(945\) | −2.63023e7 | −0.958107 | ||||||||
\(946\) | 731529. | + | 1.02514e6i | 0.0265769 | + | 0.0372441i | ||||
\(947\) | 2.28091e7 | 0.826483 | 0.413241 | − | 0.910621i | \(-0.364397\pi\) | ||||
0.413241 | + | 0.910621i | \(0.364397\pi\) | |||||||
\(948\) | −5.85984e6 | + | 4.25742e6i | −0.211770 | + | 0.153860i | ||||
\(949\) | 1.90268e6 | + | 5.85585e6i | 0.0685805 | + | 0.211069i | ||||
\(950\) | −1.35403e7 | + | 4.16726e7i | −0.486763 | + | 1.49810i | ||||
\(951\) | 1.28550e7 | + | 9.33967e6i | 0.460913 | + | 0.334873i | ||||
\(952\) | 1.02186e6 | + | 742427.i | 0.0365427 | + | 0.0265498i | ||||
\(953\) | −7.87271e6 | + | 2.42297e7i | −0.280797 | + | 0.864203i | 0.706831 | + | 0.707383i | \(0.250124\pi\) |
−0.987627 | + | 0.156820i | \(0.949876\pi\) | |||||||
\(954\) | 3.24074e6 | + | 9.97398e6i | 0.115285 | + | 0.354811i | ||||
\(955\) | −3.64138e7 | + | 2.64562e7i | −1.29199 | + | 0.938682i | ||||
\(956\) | 5.35527e6 | 0.189512 | ||||||||
\(957\) | 152222. | − | 1.78405e7i | 0.00537275 | − | 0.629689i | ||||
\(958\) | 8.03412e6 | 0.282830 | ||||||||
\(959\) | 3.55304e7 | − | 2.58143e7i | 1.24754 | − | 0.906389i | ||||
\(960\) | 1.24093e7 | + | 3.81918e7i | 0.434578 | + | 1.33749i | ||||
\(961\) | −2.09303e6 | + | 6.44169e6i | −0.0731085 | + | 0.225005i | ||||
\(962\) | −3.37949e6 | − | 2.45534e6i | −0.117737 | − | 0.0855411i | ||||
\(963\) | 3.77511e6 | + | 2.74278e6i | 0.131179 | + | 0.0953070i | ||||
\(964\) | −9.94223e6 | + | 3.05990e7i | −0.344581 | + | 1.06051i | ||||
\(965\) | 1.88040e7 | + | 5.78727e7i | 0.650027 | + | 2.00058i | ||||
\(966\) | 5.32983e7 | − | 3.87234e7i | 1.83768 | − | 1.33515i | ||||
\(967\) | −5.21847e7 | −1.79464 | −0.897319 | − | 0.441384i | \(-0.854488\pi\) | ||||
−0.897319 | + | 0.441384i | \(0.854488\pi\) | |||||||
\(968\) | 789156. | + | 2.57763e6i | 0.0270691 | + | 0.0884162i | ||||
\(969\) | −2.16426e7 | −0.740456 | ||||||||
\(970\) | 6.25531e7 | − | 4.54475e7i | 2.13462 | − | 1.55089i | ||||
\(971\) | −2.43016e6 | − | 7.47927e6i | −0.0827156 | − | 0.254572i | 0.901142 | − | 0.433523i | \(-0.142730\pi\) |
−0.983858 | + | 0.178951i | \(0.942730\pi\) | |||||||
\(972\) | 8.35921e6 | − | 2.57270e7i | 0.283792 | − | 0.873421i | ||||
\(973\) | −4.83928e6 | − | 3.51594e6i | −0.163870 | − | 0.119058i | ||||
\(974\) | 4.35455e6 | + | 3.16377e6i | 0.147077 | + | 0.106858i | ||||
\(975\) | −2.32397e6 | + | 7.15243e6i | −0.0782922 | + | 0.240959i | ||||
\(976\) | 5.65952e6 | + | 1.74182e7i | 0.190176 | + | 0.585301i | ||||
\(977\) | −2.35608e7 | + | 1.71179e7i | −0.789686 | + | 0.573740i | −0.907870 | − | 0.419251i | \(-0.862293\pi\) |
0.118184 | + | 0.992992i | \(0.462293\pi\) | |||||||
\(978\) | 1.00318e7 | 0.335375 | ||||||||
\(979\) | 347474. | − | 4.07241e7i | 0.0115868 | − | 1.35798i | ||||
\(980\) | 2.42951e7 | 0.808077 | ||||||||
\(981\) | 1.51089e7 | − | 1.09773e7i | 0.501257 | − | 0.364184i | ||||
\(982\) | 2.31859e7 | + | 7.13588e7i | 0.767264 | + | 2.36140i | ||||
\(983\) | −1.34998e7 | + | 4.15482e7i | −0.445599 | + | 1.37141i | 0.436226 | + | 0.899837i | \(0.356315\pi\) |
−0.881825 | + | 0.471576i | \(0.843685\pi\) | |||||||
\(984\) | −1.87885e6 | − | 1.36507e6i | −0.0618592 | − | 0.0449434i | ||||
\(985\) | −3.42832e7 | − | 2.49082e7i | −1.12588 | − | 0.817998i | ||||
\(986\) | 2.52069e6 | − | 7.75787e6i | 0.0825708 | − | 0.254127i | ||||
\(987\) | 1.34344e6 | + | 4.13467e6i | 0.0438959 | + | 0.135098i | ||||
\(988\) | 1.03052e7 | − | 7.48718e6i | 0.335865 | − | 0.244020i | ||||
\(989\) | −1.03291e6 | −0.0335794 | ||||||||
\(990\) | 1.77648e7 | + | 2.48951e7i | 0.576065 | + | 0.807282i | ||||
\(991\) | −9.05087e6 | −0.292756 | −0.146378 | − | 0.989229i | \(-0.546762\pi\) | ||||
−0.146378 | + | 0.989229i | \(0.546762\pi\) | |||||||
\(992\) | −3.03295e7 | + | 2.20357e7i | −0.978556 | + | 0.710963i | ||||
\(993\) | −2.10581e7 | − | 6.48101e7i | −0.677712 | − | 2.08578i | ||||
\(994\) | −2.46651e7 | + | 7.59114e7i | −0.791803 | + | 2.43692i | ||||
\(995\) | −4.71176e6 | − | 3.42329e6i | −0.150878 | − | 0.109619i | ||||
\(996\) | −7.10080e6 | − | 5.15903e6i | −0.226808 | − | 0.164786i | ||||
\(997\) | 1.46475e6 | − | 4.50803e6i | 0.0466686 | − | 0.143631i | −0.925007 | − | 0.379950i | \(-0.875941\pi\) |
0.971675 | + | 0.236319i | \(0.0759411\pi\) | |||||||
\(998\) | −4.80524e6 | − | 1.47890e7i | −0.152717 | − | 0.470016i | ||||
\(999\) | −5.35159e6 | + | 3.88815e6i | −0.169656 | + | 0.123262i |
(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 | 11.6.c.a.3.1 | ✓ | 16 | |
3.2 | odd | 2 | 99.6.f.a.91.4 | 16 | |||
11.2 | odd | 10 | 121.6.a.i.1.2 | 8 | |||
11.4 | even | 5 | inner | 11.6.c.a.4.1 | yes | 16 | |
11.9 | even | 5 | 121.6.a.g.1.7 | 8 | |||
33.2 | even | 10 | 1089.6.a.bb.1.7 | 8 | |||
33.20 | odd | 10 | 1089.6.a.bg.1.2 | 8 | |||
33.26 | odd | 10 | 99.6.f.a.37.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.6.c.a.3.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
11.6.c.a.4.1 | yes | 16 | 11.4 | even | 5 | inner | |
99.6.f.a.37.4 | 16 | 33.26 | odd | 10 | |||
99.6.f.a.91.4 | 16 | 3.2 | odd | 2 | |||
121.6.a.g.1.7 | 8 | 11.9 | even | 5 | |||
121.6.a.i.1.2 | 8 | 11.2 | odd | 10 | |||
1089.6.a.bb.1.7 | 8 | 33.2 | even | 10 | |||
1089.6.a.bg.1.2 | 8 | 33.20 | odd | 10 |