Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,7,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(17.4841103551\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.18 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.7.l.a.43.18 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.55307 | − | 6.57796i | −0.569133 | − | 0.822245i | ||||
\(3\) | −26.4348 | + | 4.66117i | −0.979066 | + | 0.172636i | −0.640208 | − | 0.768202i | \(-0.721152\pi\) |
−0.338858 | + | 0.940837i | \(0.610041\pi\) | |||||||
\(4\) | −22.5392 | + | 59.8998i | −0.352175 | + | 0.935934i | ||||
\(5\) | 6.31656 | − | 5.30022i | 0.0505325 | − | 0.0424018i | −0.617172 | − | 0.786829i | \(-0.711722\pi\) |
0.667704 | + | 0.744427i | \(0.267277\pi\) | |||||||
\(6\) | 151.020 | + | 152.664i | 0.699168 | + | 0.706780i | ||||
\(7\) | 142.890 | + | 82.4974i | 0.416588 | + | 0.240517i | 0.693616 | − | 0.720345i | \(-0.256016\pi\) |
−0.277029 | + | 0.960862i | \(0.589350\pi\) | |||||||
\(8\) | 496.641 | − | 124.466i | 0.970002 | − | 0.243098i | ||||
\(9\) | −7.96412 | + | 2.89870i | −0.0109247 | + | 0.00397627i | ||||
\(10\) | −63.6244 | − | 17.4178i | −0.0636244 | − | 0.0174178i | ||||
\(11\) | 1593.34 | − | 919.915i | 1.19710 | − | 0.691146i | 0.237192 | − | 0.971463i | \(-0.423773\pi\) |
0.959907 | + | 0.280317i | \(0.0904396\pi\) | |||||||
\(12\) | 316.615 | − | 1688.50i | 0.183227 | − | 0.977140i | ||||
\(13\) | −195.286 | + | 1107.52i | −0.0888875 | + | 0.504106i | 0.907562 | + | 0.419917i | \(0.137941\pi\) |
−0.996450 | + | 0.0841886i | \(0.973170\pi\) | |||||||
\(14\) | −107.921 | − | 1315.54i | −0.0393300 | − | 0.479424i | ||||
\(15\) | −142.272 | + | 169.553i | −0.0421546 | + | 0.0502379i | ||||
\(16\) | −3079.97 | − | 2700.18i | −0.751946 | − | 0.659225i | ||||
\(17\) | 1286.92 | + | 468.400i | 0.261941 | + | 0.0953389i | 0.469653 | − | 0.882851i | \(-0.344379\pi\) |
−0.207711 | + | 0.978190i | \(0.566601\pi\) | |||||||
\(18\) | 55.3287 | + | 39.1897i | 0.00948709 | + | 0.00671977i | ||||
\(19\) | −6200.52 | − | 2932.47i | −0.903998 | − | 0.427537i | ||||
\(20\) | 175.112 | + | 497.823i | 0.0218890 | + | 0.0622279i | ||||
\(21\) | −4161.79 | − | 1514.77i | −0.449389 | − | 0.163564i | ||||
\(22\) | −13305.7 | − | 6292.49i | −1.24960 | − | 0.590955i | ||||
\(23\) | 587.608 | − | 700.284i | 0.0482952 | − | 0.0575560i | −0.741356 | − | 0.671112i | \(-0.765817\pi\) |
0.789651 | + | 0.613556i | \(0.210261\pi\) | |||||||
\(24\) | −12548.4 | + | 5605.16i | −0.907729 | + | 0.405466i | ||||
\(25\) | −2701.45 | + | 15320.7i | −0.172893 | + | 0.980522i | ||||
\(26\) | 8174.38 | − | 3758.03i | 0.465088 | − | 0.213816i | ||||
\(27\) | 17143.6 | − | 9897.87i | 0.870986 | − | 0.502864i | ||||
\(28\) | −8162.19 | + | 6699.64i | −0.371820 | + | 0.305195i | ||||
\(29\) | −32574.3 | + | 11856.1i | −1.33562 | + | 0.486125i | −0.908429 | − | 0.418039i | \(-0.862718\pi\) |
−0.427187 | + | 0.904163i | \(0.640495\pi\) | |||||||
\(30\) | 1763.08 | + | 163.873i | 0.0652994 | + | 0.00606936i | ||||
\(31\) | −10678.3 | − | 6165.09i | −0.358439 | − | 0.206945i | 0.309957 | − | 0.950751i | \(-0.399685\pi\) |
−0.668396 | + | 0.743806i | \(0.733019\pi\) | |||||||
\(32\) | −3738.39 | + | 32554.1i | −0.114087 | + | 0.993471i | ||||
\(33\) | −37831.7 | + | 31744.6i | −1.05272 | + | 0.883340i | ||||
\(34\) | −2778.31 | − | 10598.0i | −0.0706876 | − | 0.269641i | ||||
\(35\) | 1339.82 | − | 236.247i | 0.0312496 | − | 0.00551014i | ||||
\(36\) | 5.87297 | − | 542.383i | 0.000125878 | − | 0.0116252i | ||||
\(37\) | −30468.8 | −0.601521 | −0.300761 | − | 0.953700i | \(-0.597240\pi\) | ||||
−0.300761 | + | 0.953700i | \(0.597240\pi\) | |||||||
\(38\) | 8941.69 | + | 54138.6i | 0.162955 | + | 0.986633i | ||||
\(39\) | − | 30187.3i | − | 0.508898i | ||||||
\(40\) | 2477.36 | − | 3418.50i | 0.0387088 | − | 0.0534141i | ||||
\(41\) | −3866.56 | − | 21928.3i | −0.0561013 | − | 0.318166i | 0.943823 | − | 0.330451i | \(-0.107201\pi\) |
−0.999925 | + | 0.0122845i | \(0.996090\pi\) | |||||||
\(42\) | 8984.83 | + | 34272.9i | 0.121272 | + | 0.462598i | ||||
\(43\) | −29628.1 | − | 35309.4i | −0.372648 | − | 0.444104i | 0.546832 | − | 0.837243i | \(-0.315834\pi\) |
−0.919479 | + | 0.393138i | \(0.871389\pi\) | |||||||
\(44\) | 19190.2 | + | 116175.i | 0.225279 | + | 1.36381i | ||||
\(45\) | −34.9420 | + | 60.5214i | −0.000383452 | + | 0.000664158i | ||||
\(46\) | −7281.86 | − | 676.824i | −0.0748115 | − | 0.00695348i | ||||
\(47\) | −51557.7 | − | 141654.i | −0.496593 | − | 1.36438i | −0.894548 | − | 0.446972i | \(-0.852502\pi\) |
0.397955 | − | 0.917405i | \(-0.369720\pi\) | |||||||
\(48\) | 94004.4 | + | 57022.5i | 0.850011 | + | 0.515612i | ||||
\(49\) | −45212.9 | − | 78311.0i | −0.384303 | − | 0.665632i | ||||
\(50\) | 113079. | − | 51986.0i | 0.904629 | − | 0.415888i | ||||
\(51\) | −36202.7 | − | 6383.51i | −0.272917 | − | 0.0481226i | ||||
\(52\) | −61938.7 | − | 36660.2i | −0.440506 | − | 0.260726i | ||||
\(53\) | −114848. | − | 96368.7i | −0.771427 | − | 0.647304i | 0.169647 | − | 0.985505i | \(-0.445737\pi\) |
−0.941074 | + | 0.338201i | \(0.890182\pi\) | |||||||
\(54\) | −143164. | − | 67704.4i | −0.909185 | − | 0.429968i | ||||
\(55\) | 5188.67 | − | 14255.7i | 0.0311866 | − | 0.0856844i | ||||
\(56\) | 81232.9 | + | 23186.7i | 0.462560 | + | 0.132031i | ||||
\(57\) | 177578. | + | 48617.7i | 0.958882 | + | 0.262524i | ||||
\(58\) | 226302. | + | 160291.i | 1.15986 | + | 0.821535i | ||||
\(59\) | 10904.4 | − | 29959.7i | 0.0530943 | − | 0.145875i | −0.910311 | − | 0.413926i | \(-0.864157\pi\) |
0.963405 | + | 0.268051i | \(0.0863795\pi\) | |||||||
\(60\) | −6949.49 | − | 12343.6i | −0.0321736 | − | 0.0571464i | ||||
\(61\) | −18577.6 | − | 15588.4i | −0.0818464 | − | 0.0686773i | 0.600947 | − | 0.799289i | \(-0.294790\pi\) |
−0.682793 | + | 0.730612i | \(0.739235\pi\) | |||||||
\(62\) | 8065.05 | + | 98311.2i | 0.0338401 | + | 0.412504i | ||||
\(63\) | −1377.12 | − | 242.824i | −0.00550746 | − | 0.000971114i | ||||
\(64\) | 231160. | − | 123630.i | 0.881807 | − | 0.471610i | ||||
\(65\) | 4636.57 | + | 8030.78i | 0.0168833 | + | 0.0292427i | ||||
\(66\) | 381065. | + | 104320.i | 1.32546 | + | 0.362859i | ||||
\(67\) | −59960.8 | − | 164741.i | −0.199362 | − | 0.547743i | 0.799216 | − | 0.601044i | \(-0.205248\pi\) |
−0.998579 | + | 0.0533002i | \(0.983026\pi\) | |||||||
\(68\) | −57063.1 | + | 66528.8i | −0.181480 | + | 0.211584i | ||||
\(69\) | −12269.1 | + | 21250.8i | −0.0373480 | + | 0.0646886i | ||||
\(70\) | −7654.34 | − | 7737.67i | −0.0223158 | − | 0.0225588i | ||||
\(71\) | 18276.9 | + | 21781.5i | 0.0510654 | + | 0.0608573i | 0.790973 | − | 0.611852i | \(-0.209575\pi\) |
−0.739907 | + | 0.672709i | \(0.765131\pi\) | |||||||
\(72\) | −3594.52 | + | 2430.87i | −0.00963037 | + | 0.00651276i | ||||
\(73\) | −46437.0 | − | 263357.i | −0.119370 | − | 0.676981i | −0.984493 | − | 0.175422i | \(-0.943871\pi\) |
0.865123 | − | 0.501559i | \(-0.167240\pi\) | |||||||
\(74\) | 138727. | + | 200423.i | 0.342346 | + | 0.494598i | ||||
\(75\) | − | 417590.i | − | 0.989844i | ||||||
\(76\) | 315409. | − | 305314.i | 0.718511 | − | 0.695515i | ||||
\(77\) | 303562. | 0.664929 | ||||||||
\(78\) | −198571. | + | 137445.i | −0.418439 | + | 0.289631i | ||||
\(79\) | 26865.8 | − | 4737.17i | 0.0544903 | − | 0.00960811i | −0.146337 | − | 0.989235i | \(-0.546748\pi\) |
0.200827 | + | 0.979627i | \(0.435637\pi\) | |||||||
\(80\) | −33766.4 | − | 731.337i | −0.0659500 | − | 0.00142839i | ||||
\(81\) | −402319. | + | 337586.i | −0.757035 | + | 0.635228i | ||||
\(82\) | −126639. | + | 125275.i | −0.229682 | + | 0.227208i | ||||
\(83\) | 394538. | + | 227786.i | 0.690008 | + | 0.398376i | 0.803615 | − | 0.595149i | \(-0.202907\pi\) |
−0.113607 | + | 0.993526i | \(0.536240\pi\) | |||||||
\(84\) | 184538. | − | 215149.i | 0.311349 | − | 0.362995i | ||||
\(85\) | 10611.5 | − | 3862.28i | 0.0172791 | − | 0.00628907i | ||||
\(86\) | −97365.2 | + | 355659.i | −0.153076 | + | 0.559162i | ||||
\(87\) | 805833. | − | 465248.i | 1.22373 | − | 0.706524i | ||||
\(88\) | 676820. | − | 655184.i | 0.993173 | − | 0.961425i | ||||
\(89\) | −237631. | + | 1.34767e6i | −0.337080 | + | 1.91168i | 0.0685666 | + | 0.997647i | \(0.478157\pi\) |
−0.405647 | + | 0.914030i | \(0.632954\pi\) | |||||||
\(90\) | 557.201 | − | 45.7105i | 0.000764336 | − | 6.27030e-5i | ||||
\(91\) | −119272. | + | 142143.i | −0.158276 | + | 0.188625i | ||||
\(92\) | 28702.7 | + | 50981.4i | 0.0368603 | + | 0.0654709i | ||||
\(93\) | 311014. | + | 113200.i | 0.386662 | + | 0.140733i | ||||
\(94\) | −697047. | + | 984104.i | −0.839225 | + | 1.18483i | ||||
\(95\) | −54708.7 | + | 14341.0i | −0.0638096 | + | 0.0167266i | ||||
\(96\) | −52916.3 | − | 877985.i | −0.0598102 | − | 0.992369i | ||||
\(97\) | −1.09901e6 | − | 400005.i | −1.20416 | − | 0.438279i | −0.339486 | − | 0.940611i | \(-0.610253\pi\) |
−0.864675 | + | 0.502332i | \(0.832475\pi\) | |||||||
\(98\) | −309270. | + | 653964.i | −0.328593 | + | 0.694825i | ||||
\(99\) | −10023.0 | + | 11944.9i | −0.0103298 | + | 0.0123106i | ||||
\(100\) | −856816. | − | 507131.i | −0.856816 | − | 0.507131i | ||||
\(101\) | 66707.5 | − | 378317.i | 0.0647456 | − | 0.367191i | −0.935170 | − | 0.354199i | \(-0.884753\pi\) |
0.999916 | − | 0.0129915i | \(-0.00413543\pi\) | |||||||
\(102\) | 122843. | + | 267205.i | 0.115758 | + | 0.251793i | ||||
\(103\) | −1.71319e6 | + | 989108.i | −1.56781 | + | 0.905174i | −0.571383 | + | 0.820684i | \(0.693593\pi\) |
−0.996424 | + | 0.0844903i | \(0.973074\pi\) | |||||||
\(104\) | 40861.7 | + | 574347.i | 0.0363259 | + | 0.510592i | ||||
\(105\) | −34316.8 | + | 12490.3i | −0.0296441 | + | 0.0107896i | ||||
\(106\) | −111000. | + | 1.19424e6i | −0.0931980 | + | 1.00270i | ||||
\(107\) | −1.00898e6 | − | 582535.i | −0.823629 | − | 0.475522i | 0.0280374 | − | 0.999607i | \(-0.491074\pi\) |
−0.851666 | + | 0.524085i | \(0.824408\pi\) | |||||||
\(108\) | 206478. | + | 1.24999e6i | 0.163909 | + | 0.992282i | ||||
\(109\) | 1.80415e6 | − | 1.51386e6i | 1.39314 | − | 1.16898i | 0.429086 | − | 0.903264i | \(-0.358836\pi\) |
0.964051 | − | 0.265717i | \(-0.0856088\pi\) | |||||||
\(110\) | −117398. | + | 30776.5i | −0.0882029 | + | 0.0231228i | ||||
\(111\) | 805438. | − | 142020.i | 0.588929 | − | 0.103844i | ||||
\(112\) | −217338. | − | 639918.i | −0.154697 | − | 0.455481i | ||||
\(113\) | −1.97760e6 | −1.37058 | −0.685289 | − | 0.728271i | \(-0.740324\pi\) | ||||
−0.685289 | + | 0.728271i | \(0.740324\pi\) | |||||||
\(114\) | −488720. | − | 1.38946e6i | −0.329872 | − | 0.937848i | ||||
\(115\) | − | 7537.83i | − | 0.00495625i | ||||||
\(116\) | 24021.3 | − | 2.21842e6i | 0.0153894 | − | 1.42125i | ||||
\(117\) | −1655.09 | − | 9386.50i | −0.00103339 | − | 0.00586065i | ||||
\(118\) | −246723. | + | 64679.6i | −0.150163 | + | 0.0393660i | ||||
\(119\) | 145246. | + | 173097.i | 0.0861910 | + | 0.102718i | ||||
\(120\) | −49554.4 | + | 101915.i | −0.0286773 | + | 0.0589785i | ||||
\(121\) | 806707. | − | 1.39726e6i | 0.455365 | − | 0.788715i | ||||
\(122\) | −17955.2 | + | 193178.i | −0.00988806 | + | 0.106384i | ||||
\(123\) | 204423. | + | 561648.i | 0.109854 | + | 0.301821i | ||||
\(124\) | 609967. | − | 500669.i | 0.319920 | − | 0.262595i | ||||
\(125\) | 128558. | + | 222670.i | 0.0658219 | + | 0.114007i | ||||
\(126\) | 4672.85 | + | 10164.3i | 0.00233599 | + | 0.00508118i | ||||
\(127\) | −1.30533e6 | − | 230166.i | −0.637251 | − | 0.112365i | −0.154317 | − | 0.988021i | \(-0.549318\pi\) |
−0.482934 | + | 0.875657i | \(0.660429\pi\) | |||||||
\(128\) | −1.86572e6 | − | 957670.i | −0.889645 | − | 0.456653i | ||||
\(129\) | 947796. | + | 795295.i | 0.441515 | + | 0.370475i | ||||
\(130\) | 31715.5 | − | 67063.9i | 0.0144358 | − | 0.0305252i | ||||
\(131\) | −511897. | + | 1.40643e6i | −0.227703 | + | 0.625609i | −0.999953 | − | 0.00970982i | \(-0.996909\pi\) |
0.772250 | + | 0.635319i | \(0.219131\pi\) | |||||||
\(132\) | −1.04880e6 | − | 2.98161e6i | −0.456006 | − | 1.29637i | ||||
\(133\) | −644069. | − | 930547.i | −0.273765 | − | 0.395534i | ||||
\(134\) | −810654. | + | 1.14450e6i | −0.336916 | + | 0.475664i | ||||
\(135\) | 55827.7 | − | 153385.i | 0.0226907 | − | 0.0623423i | ||||
\(136\) | 697436. | + | 72449.1i | 0.277260 | + | 0.0288016i | ||||
\(137\) | 663816. | + | 557008.i | 0.258158 | + | 0.216621i | 0.762676 | − | 0.646781i | \(-0.223885\pi\) |
−0.504518 | + | 0.863401i | \(0.668330\pi\) | |||||||
\(138\) | 195649. | − | 16050.3i | 0.0744459 | − | 0.00610724i | ||||
\(139\) | 2.60425e6 | + | 459200.i | 0.969703 | + | 0.170985i | 0.635996 | − | 0.771692i | \(-0.280589\pi\) |
0.333707 | + | 0.942677i | \(0.391700\pi\) | |||||||
\(140\) | −16047.4 | + | 85580.0i | −0.00584817 | + | 0.0311881i | ||||
\(141\) | 2.02319e6 | + | 3.50427e6i | 0.721738 | + | 1.25009i | ||||
\(142\) | 60062.2 | − | 219397.i | 0.0209767 | − | 0.0766242i | ||||
\(143\) | 707668. | + | 1.94430e6i | 0.242004 | + | 0.664899i | ||||
\(144\) | 32356.3 | + | 12576.7i | 0.0108361 | + | 0.00421190i | ||||
\(145\) | −142918. | + | 247541.i | −0.0468794 | + | 0.0811976i | ||||
\(146\) | −1.52092e6 | + | 1.50454e6i | −0.488707 | + | 0.483444i | ||||
\(147\) | 1.56021e6 | + | 1.85939e6i | 0.491170 | + | 0.585354i | ||||
\(148\) | 686743. | − | 1.82508e6i | 0.211840 | − | 0.562984i | ||||
\(149\) | 44226.2 | + | 250819.i | 0.0133697 | + | 0.0758231i | 0.990763 | − | 0.135608i | \(-0.0432987\pi\) |
−0.977393 | + | 0.211431i | \(0.932188\pi\) | |||||||
\(150\) | −2.74689e6 | + | 1.90132e6i | −0.813895 | + | 0.563353i | ||||
\(151\) | − | 59872.2i | − | 0.0173898i | −0.999962 | − | 0.00869490i | \(-0.997232\pi\) | ||
0.999962 | − | 0.00869490i | \(-0.00276771\pi\) | |||||||
\(152\) | −3.44443e6 | − | 684633.i | −0.980813 | − | 0.194952i | ||||
\(153\) | −11606.9 | −0.00324073 | ||||||||
\(154\) | −1.38214e6 | − | 1.99682e6i | −0.378433 | − | 0.546735i | ||||
\(155\) | −100126. | + | 17654.9i | −0.0268876 | + | 0.00474101i | ||||
\(156\) | 1.80822e6 | + | 680398.i | 0.476296 | + | 0.179221i | ||||
\(157\) | 1.26640e6 | − | 1.06264e6i | 0.327245 | − | 0.274591i | −0.464331 | − | 0.885662i | \(-0.653705\pi\) |
0.791576 | + | 0.611070i | \(0.209261\pi\) | |||||||
\(158\) | −153483. | − | 155154.i | −0.0389125 | − | 0.0393361i | ||||
\(159\) | 3.48517e6 | + | 2.01216e6i | 0.867026 | + | 0.500578i | ||||
\(160\) | 148930. | + | 225444.i | 0.0363598 | + | 0.0550400i | ||||
\(161\) | 141735. | − | 51587.2i | 0.0339624 | − | 0.0123613i | ||||
\(162\) | 4.05242e6 | + | 1.10939e6i | 0.953167 | + | 0.260939i | ||||
\(163\) | −983511. | + | 567830.i | −0.227100 | + | 0.131116i | −0.609233 | − | 0.792991i | \(-0.708523\pi\) |
0.382134 | + | 0.924107i | \(0.375189\pi\) | |||||||
\(164\) | 1.40065e6 | + | 262641.i | 0.317540 | + | 0.0595429i | ||||
\(165\) | −70712.9 | + | 401033.i | −0.0157415 | + | 0.0892747i | ||||
\(166\) | −297986. | − | 3.63238e6i | −0.0651435 | − | 0.794085i | ||||
\(167\) | −2.57882e6 | + | 3.07332e6i | −0.553696 | + | 0.659870i | −0.968200 | − | 0.250178i | \(-0.919511\pi\) |
0.414503 | + | 0.910048i | \(0.363955\pi\) | |||||||
\(168\) | −2.25545e6 | − | 234295.i | −0.475670 | − | 0.0494122i | ||||
\(169\) | 3.34725e6 | + | 1.21830e6i | 0.693471 | + | 0.252403i | ||||
\(170\) | −73720.8 | − | 52217.0i | −0.0150053 | − | 0.0106283i | ||||
\(171\) | 57882.0 | + | 5381.10i | 0.0115759 | + | 0.00107617i | ||||
\(172\) | 2.78282e6 | − | 978873.i | 0.546890 | − | 0.192372i | ||||
\(173\) | −1.71252e6 | − | 623305.i | −0.330747 | − | 0.120382i | 0.171308 | − | 0.985217i | \(-0.445201\pi\) |
−0.502056 | + | 0.864835i | \(0.667423\pi\) | |||||||
\(174\) | −6.72939e6 | − | 3.18243e6i | −1.27740 | − | 0.604104i | ||||
\(175\) | −1.64992e6 | + | 1.96630e6i | −0.307857 | + | 0.366890i | ||||
\(176\) | −7.39138e6 | − | 1.46900e6i | −1.35577 | − | 0.269453i | ||||
\(177\) | −148610. | + | 842807.i | −0.0267995 | + | 0.151988i | ||||
\(178\) | 9.94689e6 | − | 4.57291e6i | 1.76371 | − | 0.810836i | ||||
\(179\) | −376486. | + | 217364.i | −0.0656432 | + | 0.0378991i | −0.532462 | − | 0.846454i | \(-0.678733\pi\) |
0.466819 | + | 0.884353i | \(0.345400\pi\) | |||||||
\(180\) | −2837.65 | − | 3457.12i | −0.000486566 | − | 0.000592785i | ||||
\(181\) | 5.24289e6 | − | 1.90826e6i | 0.884169 | − | 0.321811i | 0.140278 | − | 0.990112i | \(-0.455200\pi\) |
0.743891 | + | 0.668301i | \(0.232978\pi\) | |||||||
\(182\) | 1.47806e6 | + | 137381.i | 0.245176 | + | 0.0227883i | ||||
\(183\) | 563755. | + | 325484.i | 0.0919893 | + | 0.0531100i | ||||
\(184\) | 204669. | − | 420927.i | 0.0328547 | − | 0.0675699i | ||||
\(185\) | −192458. | + | 161492.i | −0.0303963 | + | 0.0255056i | ||||
\(186\) | −671443. | − | 2.56124e6i | −0.104345 | − | 0.398027i | ||||
\(187\) | 2.48139e6 | − | 437535.i | 0.379463 | − | 0.0669096i | ||||
\(188\) | 9.64710e6 | + | 104460.i | 1.45185 | + | 0.0157208i | ||||
\(189\) | 3.26619e6 | 0.483790 | ||||||||
\(190\) | 343427. | + | 294576.i | 0.0500695 | + | 0.0429474i | ||||
\(191\) | − | 8.82590e6i | − | 1.26666i | −0.773883 | − | 0.633328i | \(-0.781688\pi\) | ||
0.773883 | − | 0.633328i | \(-0.218312\pi\) | |||||||
\(192\) | −5.53442e6 | + | 4.34560e6i | −0.781931 | + | 0.613969i | ||||
\(193\) | −1.31377e6 | − | 7.45076e6i | −0.182746 | − | 1.03640i | −0.928817 | − | 0.370538i | \(-0.879173\pi\) |
0.746072 | − | 0.665866i | \(-0.231938\pi\) | |||||||
\(194\) | 2.37262e6 | + | 9.05046e6i | 0.324955 | + | 1.23955i | ||||
\(195\) | −160000. | − | 190680.i | −0.0215782 | − | 0.0257159i | ||||
\(196\) | 5.70987e6 | − | 943177.i | 0.758330 | − | 0.125264i | ||||
\(197\) | 4.54604e6 | − | 7.87397e6i | 0.594613 | − | 1.02990i | −0.398988 | − | 0.916956i | \(-0.630638\pi\) |
0.993601 | − | 0.112944i | \(-0.0360282\pi\) | |||||||
\(198\) | 124209. | + | 11544.8i | 0.0160013 | + | 0.00148727i | ||||
\(199\) | 1.37340e6 | + | 3.77338e6i | 0.174276 | + | 0.478819i | 0.995821 | − | 0.0913244i | \(-0.0291100\pi\) |
−0.821545 | + | 0.570143i | \(0.806888\pi\) | |||||||
\(200\) | 565252. | + | 7.94511e6i | 0.0706565 | + | 0.993138i | ||||
\(201\) | 2.35294e6 | + | 4.07541e6i | 0.289749 | + | 0.501860i | ||||
\(202\) | −2.79228e6 | + | 1.28370e6i | −0.338770 | + | 0.155744i | ||||
\(203\) | −5.63263e6 | − | 993185.i | −0.673323 | − | 0.118725i | ||||
\(204\) | 1.19835e6 | − | 2.02466e6i | 0.141154 | − | 0.238485i | ||||
\(205\) | −140648. | − | 118018.i | −0.0163257 | − | 0.0136989i | ||||
\(206\) | 1.43066e7 | + | 6.76579e6i | 1.63657 | + | 0.773957i | ||||
\(207\) | −2649.86 | + | 7280.44i | −0.000298753 | + | 0.000820817i | ||||
\(208\) | 3.59198e6 | − | 2.88383e6i | 0.399158 | − | 0.320464i | ||||
\(209\) | −1.25772e7 | + | 1.03153e6i | −1.37767 | + | 0.112990i | ||||
\(210\) | 238407. | + | 168865.i | 0.0257432 | + | 0.0182340i | ||||
\(211\) | 5.09801e6 | − | 1.40067e7i | 0.542691 | − | 1.49103i | −0.300693 | − | 0.953721i | \(-0.597218\pi\) |
0.843384 | − | 0.537311i | \(-0.180560\pi\) | |||||||
\(212\) | 8.36104e6 | − | 4.70729e6i | 0.877511 | − | 0.494041i | ||||
\(213\) | −584672. | − | 490598.i | −0.0605026 | − | 0.0507677i | ||||
\(214\) | 762061. | + | 9.28936e6i | 0.0777586 | + | 0.947861i | ||||
\(215\) | −374295. | − | 65998.4i | −0.0376616 | − | 0.00664076i | ||||
\(216\) | 7.28228e6 | − | 7.04949e6i | 0.722613 | − | 0.699514i | ||||
\(217\) | −1.01721e6 | − | 1.76186e6i | −0.0995475 | − | 0.172421i | ||||
\(218\) | −1.81726e7 | − | 4.97493e6i | −1.75407 | − | 0.480194i | ||||
\(219\) | 2.45510e6 | + | 6.74534e6i | 0.233742 | + | 0.642202i | ||||
\(220\) | 736968. | + | 632113.i | 0.0692119 | + | 0.0593645i | ||||
\(221\) | −770080. | + | 1.33382e6i | −0.0713442 | + | 0.123572i | ||||
\(222\) | −4.60142e6 | − | 4.65151e6i | −0.420564 | − | 0.425143i | ||||
\(223\) | −9.12656e6 | − | 1.08766e7i | −0.822986 | − | 0.980797i | 0.177008 | − | 0.984209i | \(-0.443358\pi\) |
−0.999994 | + | 0.00341263i | \(0.998914\pi\) | |||||||
\(224\) | −3.21980e6 | + | 4.34323e6i | −0.286474 | + | 0.386428i | ||||
\(225\) | −22895.4 | − | 129846.i | −0.00201002 | − | 0.0113994i | ||||
\(226\) | 9.00416e6 | + | 1.30086e7i | 0.780042 | + | 1.12695i | ||||
\(227\) | − | 1.17754e7i | − | 1.00670i | −0.864084 | − | 0.503348i | \(-0.832102\pi\) | ||
0.864084 | − | 0.503348i | \(-0.167898\pi\) | |||||||
\(228\) | −6.91466e6 | + | 9.54110e6i | −0.583399 | + | 0.804996i | ||||
\(229\) | −1.69944e7 | −1.41514 | −0.707571 | − | 0.706642i | \(-0.750209\pi\) | ||||
−0.707571 | + | 0.706642i | \(0.750209\pi\) | |||||||
\(230\) | −49583.6 | + | 34320.3i | −0.00407525 | + | 0.00282077i | ||||
\(231\) | −8.02460e6 | + | 1.41495e6i | −0.651010 | + | 0.114791i | ||||
\(232\) | −1.47021e7 | + | 9.94262e6i | −1.17737 | + | 0.796227i | ||||
\(233\) | −1.35332e7 | + | 1.13557e7i | −1.06987 | + | 0.897729i | −0.995041 | − | 0.0994673i | \(-0.968286\pi\) |
−0.0748308 | + | 0.997196i | \(0.523842\pi\) | |||||||
\(234\) | −54208.3 | + | 53624.5i | −0.00423076 | + | 0.00418519i | ||||
\(235\) | −1.07646e6 | − | 621497.i | −0.0829461 | − | 0.0478889i | ||||
\(236\) | 1.54880e6 | + | 1.32844e6i | 0.117831 | + | 0.101066i | ||||
\(237\) | −688112. | + | 250452.i | −0.0516909 | + | 0.0188139i | ||||
\(238\) | 477312. | − | 1.74354e6i | 0.0354056 | − | 0.129331i | ||||
\(239\) | −1.40939e7 | + | 8.13710e6i | −1.03237 | + | 0.596040i | −0.917663 | − | 0.397359i | \(-0.869927\pi\) |
−0.114709 | + | 0.993399i | \(0.536594\pi\) | |||||||
\(240\) | 896016. | − | 138058.i | 0.0648160 | − | 0.00998684i | ||||
\(241\) | −1.42746e6 | + | 8.09552e6i | −0.101979 | + | 0.578354i | 0.890404 | + | 0.455170i | \(0.150422\pi\) |
−0.992384 | + | 0.123184i | \(0.960690\pi\) | |||||||
\(242\) | −1.28641e7 | + | 1.05532e6i | −0.907681 | + | 0.0744624i | ||||
\(243\) | −214446. | + | 255567.i | −0.0149451 | + | 0.0178109i | ||||
\(244\) | 1.35247e6 | − | 761443.i | 0.0931017 | − | 0.0524165i | ||||
\(245\) | −700655. | − | 255018.i | −0.0476438 | − | 0.0173409i | ||||
\(246\) | 2.76375e6 | − | 3.90191e6i | 0.185649 | − | 0.262103i | ||||
\(247\) | 4.45865e6 | − | 6.29454e6i | 0.295878 | − | 0.417708i | ||||
\(248\) | −6.07060e6 | − | 1.73276e6i | −0.397994 | − | 0.113601i | ||||
\(249\) | −1.14913e7 | − | 4.18248e6i | −0.744338 | − | 0.270917i | ||||
\(250\) | 879378. | − | 1.85948e6i | 0.0562802 | − | 0.119007i | ||||
\(251\) | 8.38663e6 | − | 9.99479e6i | 0.530354 | − | 0.632052i | −0.432642 | − | 0.901566i | \(-0.642419\pi\) |
0.962996 | + | 0.269514i | \(0.0868630\pi\) | |||||||
\(252\) | 45584.4 | − | 77016.4i | 0.00284849 | − | 0.00481262i | ||||
\(253\) | 292057. | − | 1.65634e6i | 0.0180346 | − | 0.102279i | ||||
\(254\) | 4.42925e6 | + | 9.63440e6i | 0.270290 | + | 0.587927i | ||||
\(255\) | −262511. | + | 151561.i | −0.0158317 | + | 0.00914041i | ||||
\(256\) | 2.19523e6 | + | 1.66330e7i | 0.130846 | + | 0.991403i | ||||
\(257\) | −2.17444e7 | + | 7.91433e6i | −1.28100 | + | 0.466246i | −0.890763 | − | 0.454469i | \(-0.849829\pi\) |
−0.390237 | + | 0.920715i | \(0.627607\pi\) | |||||||
\(258\) | 916044. | − | 9.85560e6i | 0.0533405 | − | 0.573884i | ||||
\(259\) | −4.35368e6 | − | 2.51360e6i | −0.250586 | − | 0.144676i | ||||
\(260\) | −585546. | + | 96722.6i | −0.0333151 | + | 0.00550311i | ||||
\(261\) | 225059. | − | 188847.i | 0.0126583 | − | 0.0106215i | ||||
\(262\) | 1.15821e7 | − | 3.03631e6i | 0.643998 | − | 0.168827i | ||||
\(263\) | 1.94850e7 | − | 3.43574e6i | 1.07111 | − | 0.188866i | 0.389829 | − | 0.920887i | \(-0.372534\pi\) |
0.681281 | + | 0.732022i | \(0.261423\pi\) | |||||||
\(264\) | −1.48377e7 | + | 2.04744e7i | −0.806406 | + | 1.11276i | ||||
\(265\) | −1.23622e6 | −0.0664290 | ||||||||
\(266\) | −3.18861e6 | + | 8.47350e6i | −0.169417 | + | 0.450213i | ||||
\(267\) | − | 3.67331e7i | − | 1.92985i | ||||||
\(268\) | 1.12194e7 | + | 121485.i | 0.582862 | + | 0.00631128i | ||||
\(269\) | 4.21506e6 | + | 2.39048e7i | 0.216544 | + | 1.22808i | 0.878207 | + | 0.478281i | \(0.158740\pi\) |
−0.661663 | + | 0.749802i | \(0.730149\pi\) | |||||||
\(270\) | −1.26315e6 | + | 331141.i | −0.0641747 | + | 0.0168237i | ||||
\(271\) | 2.87590e6 | + | 3.42736e6i | 0.144499 | + | 0.172207i | 0.833440 | − | 0.552611i | \(-0.186368\pi\) |
−0.688940 | + | 0.724818i | \(0.741924\pi\) | |||||||
\(272\) | −2.69891e6 | − | 4.91757e6i | −0.134116 | − | 0.244368i | ||||
\(273\) | 2.49038e6 | − | 4.31346e6i | 0.122399 | − | 0.212001i | ||||
\(274\) | 641578. | − | 6.90265e6i | 0.0311887 | − | 0.335556i | ||||
\(275\) | 9.78939e6 | + | 2.68961e7i | 0.470714 | + | 1.29328i | ||||
\(276\) | −996382. | − | 1.21389e6i | −0.0473913 | − | 0.0577369i | ||||
\(277\) | 6.22713e6 | + | 1.07857e7i | 0.292987 | + | 0.507468i | 0.974515 | − | 0.224324i | \(-0.0720174\pi\) |
−0.681528 | + | 0.731792i | \(0.738684\pi\) | |||||||
\(278\) | −8.83674e6 | − | 1.92215e7i | −0.411299 | − | 0.894647i | ||||
\(279\) | 102914. | + | 18146.4i | 0.00473871 | + | 0.000835563i | ||||
\(280\) | 636007. | − | 284093.i | 0.0289726 | − | 0.0129415i | ||||
\(281\) | 3.14177e7 | + | 2.63626e7i | 1.41597 | + | 1.18814i | 0.953455 | + | 0.301535i | \(0.0974990\pi\) |
0.462520 | + | 0.886609i | \(0.346945\pi\) | |||||||
\(282\) | 1.38392e7 | − | 2.92636e7i | 0.617113 | − | 1.30491i | ||||
\(283\) | −3.84739e6 | + | 1.05706e7i | −0.169749 | + | 0.466382i | −0.995174 | − | 0.0981309i | \(-0.968714\pi\) |
0.825424 | + | 0.564513i | \(0.190936\pi\) | |||||||
\(284\) | −1.71665e6 | + | 603843.i | −0.0749424 | + | 0.0263614i | ||||
\(285\) | 1.37937e6 | − | 634108.i | 0.0595862 | − | 0.0273923i | ||||
\(286\) | 9.56749e6 | − | 1.35076e7i | 0.408978 | − | 0.577403i | ||||
\(287\) | 1.25654e6 | − | 3.45231e6i | 0.0531533 | − | 0.146038i | ||||
\(288\) | −64591.5 | − | 270101.i | −0.00270394 | − | 0.0113070i | ||||
\(289\) | −1.70537e7 | − | 1.43097e7i | −0.706521 | − | 0.592841i | ||||
\(290\) | 2.27903e6 | − | 186962.i | 0.0934450 | − | 0.00766584i | ||||
\(291\) | 3.09165e7 | + | 5.45141e6i | 1.25462 | + | 0.221223i | ||||
\(292\) | 1.68217e7 | + | 3.15429e6i | 0.675649 | + | 0.126693i | ||||
\(293\) | −3.82433e6 | − | 6.62393e6i | −0.152038 | − | 0.263337i | 0.779939 | − | 0.625856i | \(-0.215250\pi\) |
−0.931977 | + | 0.362519i | \(0.881917\pi\) | |||||||
\(294\) | 5.12724e6 | − | 1.87290e7i | 0.201763 | − | 0.737007i | ||||
\(295\) | −89914.6 | − | 247038.i | −0.00350239 | − | 0.00962273i | ||||
\(296\) | −1.51321e7 | + | 3.79233e6i | −0.583477 | + | 0.146228i | ||||
\(297\) | 1.82104e7 | − | 3.15413e7i | 0.695105 | − | 1.20396i | ||||
\(298\) | 1.44851e6 | − | 1.43291e6i | 0.0547361 | − | 0.0541466i | ||||
\(299\) | 660827. | + | 787543.i | 0.0247215 | + | 0.0294619i | ||||
\(300\) | 2.50136e7 | + | 9.41214e6i | 0.926429 | + | 0.348598i | ||||
\(301\) | −1.32062e6 | − | 7.48959e6i | −0.0484258 | − | 0.274637i | ||||
\(302\) | −393837. | + | 272602.i | −0.0142987 | + | 0.00989711i | ||||
\(303\) | 1.03117e7i | 0.370682i | ||||||||
\(304\) | 1.11792e7 | + | 2.57745e7i | 0.397915 | + | 0.917422i | ||||
\(305\) | −199969. | −0.00704794 | ||||||||
\(306\) | 52847.1 | + | 76349.9i | 0.00184441 | + | 0.00266467i | ||||
\(307\) | −2.37787e7 | + | 4.19282e6i | −0.821813 | + | 0.144908i | −0.568717 | − | 0.822533i | \(-0.692560\pi\) |
−0.253096 | + | 0.967441i | \(0.581449\pi\) | |||||||
\(308\) | −6.84204e6 | + | 1.81833e7i | −0.234171 | + | 0.622330i | ||||
\(309\) | 4.06773e7 | − | 3.41323e7i | 1.37872 | − | 1.15689i | ||||
\(310\) | 572015. | + | 578242.i | 0.0192009 | + | 0.0194100i | ||||
\(311\) | −2.45072e7 | − | 1.41492e7i | −0.814728 | − | 0.470384i | 0.0338669 | − | 0.999426i | \(-0.489218\pi\) |
−0.848595 | + | 0.529043i | \(0.822551\pi\) | |||||||
\(312\) | −3.75730e6 | − | 1.49923e7i | −0.123712 | − | 0.493632i | ||||
\(313\) | 2.53949e7 | − | 9.24300e6i | 0.828159 | − | 0.301425i | 0.107056 | − | 0.994253i | \(-0.465858\pi\) |
0.721103 | + | 0.692828i | \(0.243635\pi\) | |||||||
\(314\) | −1.27560e7 | − | 3.49209e6i | −0.412027 | − | 0.112797i | ||||
\(315\) | −9985.71 | + | 5765.25i | −0.000319483 | + | 0.000184453i | ||||
\(316\) | −321778. | + | 1.71603e6i | −0.0101975 | + | 0.0543831i | ||||
\(317\) | 4.90587e6 | − | 2.78226e7i | 0.154006 | − | 0.873413i | −0.805682 | − | 0.592348i | \(-0.798201\pi\) |
0.959689 | − | 0.281065i | \(-0.0906877\pi\) | |||||||
\(318\) | −2.63227e6 | − | 3.20868e7i | −0.0818558 | − | 0.997804i | ||||
\(319\) | −4.09954e7 | + | 4.88564e7i | −1.26288 | + | 1.50505i | ||||
\(320\) | 804873. | − | 2.00612e6i | 0.0245628 | − | 0.0612218i | ||||
\(321\) | 2.93875e7 | + | 1.06962e7i | 0.888480 | + | 0.323380i | ||||
\(322\) | −984666. | − | 697445.i | −0.0294931 | − | 0.0208902i | ||||
\(323\) | −6.60600e6 | − | 6.67818e6i | −0.196034 | − | 0.198176i | ||||
\(324\) | −1.11534e7 | − | 3.17078e7i | −0.327923 | − | 0.932246i | ||||
\(325\) | −1.64404e7 | − | 5.98382e6i | −0.478919 | − | 0.174312i | ||||
\(326\) | 8.21316e6 | + | 3.88413e6i | 0.237059 | + | 0.112109i | ||||
\(327\) | −4.06360e7 | + | 4.84281e7i | −1.16217 | + | 1.38502i | ||||
\(328\) | −4.64962e6 | − | 1.04093e7i | −0.131764 | − | 0.294984i | ||||
\(329\) | 4.31899e6 | − | 2.44942e7i | 0.121282 | − | 0.687822i | ||||
\(330\) | 2.95994e6 | − | 1.36078e6i | 0.0823647 | − | 0.0378658i | ||||
\(331\) | 2.24130e7 | − | 1.29402e7i | 0.618040 | − | 0.356825i | −0.158066 | − | 0.987429i | \(-0.550526\pi\) |
0.776105 | + | 0.630603i | \(0.217192\pi\) | |||||||
\(332\) | −2.25369e7 | + | 1.84986e7i | −0.615857 | + | 0.505504i | ||||
\(333\) | 242657. | − | 88320.1i | 0.00657144 | − | 0.00239181i | ||||
\(334\) | 3.19577e7 | + | 2.97036e6i | 0.857702 | + | 0.0797205i | ||||
\(335\) | −1.25191e6 | − | 722790.i | −0.0332996 | − | 0.0192255i | ||||
\(336\) | 8.72805e6 | + | 1.59030e7i | 0.230091 | + | 0.419240i | ||||
\(337\) | 3.65200e7 | − | 3.06439e7i | 0.954203 | − | 0.800671i | −0.0257975 | − | 0.999667i | \(-0.508213\pi\) |
0.980000 | + | 0.198996i | \(0.0637681\pi\) | |||||||
\(338\) | −7.22633e6 | − | 2.75651e7i | −0.187140 | − | 0.713854i | ||||
\(339\) | 5.22775e7 | − | 9.21794e6i | 1.34189 | − | 0.236611i | ||||
\(340\) | −7825.25 | + | 722680.i | −0.000199095 | + | 0.0183869i | ||||
\(341\) | −2.26854e7 | −0.572116 | ||||||||
\(342\) | −228144. | − | 405246.i | −0.00570336 | − | 0.0101307i | ||||
\(343\) | − | 3.43312e7i | − | 0.850760i | ||||||
\(344\) | −1.91093e7 | − | 1.38484e7i | −0.469430 | − | 0.340192i | ||||
\(345\) | 35135.1 | + | 199261.i | 0.000855626 | + | 0.00485250i | ||||
\(346\) | 3.69712e6 | + | 1.41028e7i | 0.0892556 | + | 0.340469i | ||||
\(347\) | 4.00833e7 | + | 4.77694e7i | 0.959346 | + | 1.14330i | 0.989612 | + | 0.143762i | \(0.0459201\pi\) |
−0.0302661 | + | 0.999542i | \(0.509635\pi\) | |||||||
\(348\) | 9.70544e6 | + | 5.87555e7i | 0.230291 | + | 1.39415i | ||||
\(349\) | −3.57136e7 | + | 6.18578e7i | −0.840151 | + | 1.45518i | 0.0496148 | + | 0.998768i | \(0.484201\pi\) |
−0.889766 | + | 0.456417i | \(0.849133\pi\) | |||||||
\(350\) | 2.04465e7 | + | 1.90043e6i | 0.476885 | + | 0.0443249i | ||||
\(351\) | 7.61420e6 | + | 2.09198e7i | 0.176077 | + | 0.483768i | ||||
\(352\) | 2.39904e7 | + | 5.53087e7i | 0.550060 | + | 1.26813i | ||||
\(353\) | 1.88322e7 | + | 3.26184e7i | 0.428132 | + | 0.741547i | 0.996707 | − | 0.0810847i | \(-0.0258384\pi\) |
−0.568575 | + | 0.822631i | \(0.692505\pi\) | |||||||
\(354\) | 6.22058e6 | − | 2.85981e6i | 0.140224 | − | 0.0644654i | ||||
\(355\) | 230894. | + | 40712.8i | 0.00516092 | + | 0.000910009i | ||||
\(356\) | −7.53693e7 | − | 4.46095e7i | −1.67049 | − | 0.988729i | ||||
\(357\) | −4.64637e6 | − | 3.89877e6i | −0.102120 | − | 0.0856885i | ||||
\(358\) | 3.14398e6 | + | 1.48684e6i | 0.0685221 | + | 0.0324051i | ||||
\(359\) | −1.87122e7 | + | 5.14114e7i | −0.404429 | + | 1.11116i | 0.555647 | + | 0.831419i | \(0.312471\pi\) |
−0.960076 | + | 0.279741i | \(0.909751\pi\) | |||||||
\(360\) | −9820.80 | + | 34406.5i | −0.000210494 | + | 0.000737450i | ||||
\(361\) | 2.98471e7 | + | 3.63657e7i | 0.634425 | + | 0.772985i | ||||
\(362\) | −3.64237e7 | − | 2.57991e7i | −0.767818 | − | 0.543850i | ||||
\(363\) | −1.48123e7 | + | 4.06964e7i | −0.309672 | + | 0.850817i | ||||
\(364\) | −5.82603e6 | − | 1.03481e7i | −0.120800 | − | 0.214565i | ||||
\(365\) | −1.68917e6 | − | 1.41738e6i | −0.0347373 | − | 0.0291480i | ||||
\(366\) | −425792. | − | 5.19031e6i | −0.00868469 | − | 0.105864i | ||||
\(367\) | 8.55980e7 | + | 1.50932e7i | 1.73167 | + | 0.305341i | 0.948573 | − | 0.316557i | \(-0.102527\pi\) |
0.783099 | + | 0.621898i | \(0.213638\pi\) | |||||||
\(368\) | −3.70071e6 | + | 570205.i | −0.0742577 | + | 0.0114416i | ||||
\(369\) | 94357.4 | + | 163432.i | 0.00187801 | + | 0.00325280i | ||||
\(370\) | 1.93856e6 | + | 530701.i | 0.0382714 | + | 0.0104772i | ||||
\(371\) | −8.46039e6 | − | 2.32447e7i | −0.165679 | − | 0.455201i | ||||
\(372\) | −1.37906e7 | + | 1.60782e7i | −0.267890 | + | 0.312327i | ||||
\(373\) | −4.50387e7 | + | 7.80093e7i | −0.867879 | + | 1.50321i | −0.00372016 | + | 0.999993i | \(0.501184\pi\) |
−0.864159 | + | 0.503218i | \(0.832149\pi\) | |||||||
\(374\) | −1.41760e7 | − | 1.43303e7i | −0.270981 | − | 0.273931i | ||||
\(375\) | −4.43632e6 | − | 5.28700e6i | −0.0841257 | − | 0.100257i | ||||
\(376\) | −4.32368e7 | − | 6.39339e7i | −0.813373 | − | 1.20273i | ||||
\(377\) | −6.76956e6 | − | 3.83921e7i | −0.126339 | − | 0.716503i | ||||
\(378\) | −1.48712e7 | − | 2.14849e7i | −0.275341 | − | 0.397794i | ||||
\(379\) | − | 8.13516e7i | − | 1.49434i | −0.664635 | − | 0.747168i | \(-0.731413\pi\) | ||
0.664635 | − | 0.747168i | \(-0.268587\pi\) | |||||||
\(380\) | 374066. | − | 3.60028e6i | 0.00681707 | − | 0.0656122i | ||||
\(381\) | 3.55791e7 | 0.643310 | ||||||||
\(382\) | −5.80564e7 | + | 4.01849e7i | −1.04150 | + | 0.720897i | ||||
\(383\) | −3.87292e7 | + | 6.82900e6i | −0.689354 | + | 0.121552i | −0.507342 | − | 0.861745i | \(-0.669372\pi\) |
−0.182012 | + | 0.983296i | \(0.558261\pi\) | |||||||
\(384\) | 5.37838e7 | + | 1.66194e7i | 0.949856 | + | 0.293509i | ||||
\(385\) | 1.91747e6 | − | 1.60895e6i | 0.0336005 | − | 0.0281942i | ||||
\(386\) | −4.30292e7 | + | 4.25658e7i | −0.748171 | + | 0.740114i | ||||
\(387\) | 338313. | + | 195325.i | 0.00583695 | + | 0.00336996i | ||||
\(388\) | 4.87309e7 | − | 5.68144e7i | 0.834275 | − | 0.972665i | ||||
\(389\) | −1.96143e7 | + | 7.13901e6i | −0.333214 | + | 0.121280i | −0.503209 | − | 0.864165i | \(-0.667847\pi\) |
0.169994 | + | 0.985445i | \(0.445625\pi\) | |||||||
\(390\) | −525798. | + | 1.92065e6i | −0.00886390 | + | 0.0323783i | ||||
\(391\) | 1.08422e6 | − | 625972.i | 0.0181378 | − | 0.0104719i | ||||
\(392\) | −3.22016e7 | − | 3.32650e7i | −0.534588 | − | 0.552242i | ||||
\(393\) | 6.97631e6 | − | 3.95646e7i | 0.114934 | − | 0.651823i | ||||
\(394\) | −7.24931e7 | + | 5.94704e6i | −1.18525 | + | 0.0972327i | ||||
\(395\) | 144592. | − | 172317.i | 0.00234613 | − | 0.00279601i | ||||
\(396\) | −489589. | − | 869603.i | −0.00788399 | − | 0.0140035i | ||||
\(397\) | −6.70834e7 | − | 2.44164e7i | −1.07212 | − | 0.390220i | −0.255152 | − | 0.966901i | \(-0.582125\pi\) |
−0.816969 | + | 0.576681i | \(0.804348\pi\) | |||||||
\(398\) | 1.85680e7 | − | 2.62146e7i | 0.294520 | − | 0.415809i | ||||
\(399\) | 2.13633e7 | + | 2.15967e7i | 0.336317 | + | 0.339992i | ||||
\(400\) | 4.96890e7 | − | 3.98928e7i | 0.776390 | − | 0.623325i | ||||
\(401\) | 4.14810e7 | + | 1.50978e7i | 0.643304 | + | 0.234143i | 0.643011 | − | 0.765857i | \(-0.277685\pi\) |
0.000292201 | 1.00000i | \(0.499907\pi\) | ||||||||
\(402\) | 1.60948e7 | − | 3.40331e7i | 0.247746 | − | 0.523870i | ||||
\(403\) | 8.91328e6 | − | 1.06224e7i | 0.136183 | − | 0.162296i | ||||
\(404\) | 2.11576e7 | + | 1.25227e7i | 0.320865 | + | 0.189913i | ||||
\(405\) | −751993. | + | 4.26476e6i | −0.0113201 | + | 0.0641992i | ||||
\(406\) | 1.91126e7 | + | 4.15733e7i | 0.285589 | + | 0.621207i | ||||
\(407\) | −4.85472e7 | + | 2.80287e7i | −0.720081 | + | 0.415739i | ||||
\(408\) | −1.87743e7 | + | 1.33569e6i | −0.276428 | + | 0.0196664i | ||||
\(409\) | 2.54760e7 | − | 9.27252e6i | 0.372359 | − | 0.135528i | −0.149061 | − | 0.988828i | \(-0.547625\pi\) |
0.521419 | + | 0.853301i | \(0.325403\pi\) | |||||||
\(410\) | −135937. | + | 1.46252e6i | −0.00197235 | + | 0.0212203i | ||||
\(411\) | −2.01442e7 | − | 1.16302e7i | −0.290151 | − | 0.167519i | ||||
\(412\) | −2.06336e7 | − | 1.24913e8i | −0.295042 | − | 1.78614i | ||||
\(413\) | 4.02973e6 | − | 3.38135e6i | 0.0572039 | − | 0.0479998i | ||||
\(414\) | 59955.5 | − | 15717.6i | 0.000844943 | − | 0.000221506i | ||||
\(415\) | 3.69944e6 | − | 652311.i | 0.0517597 | − | 0.00912663i | ||||
\(416\) | −3.53242e7 | − | 1.04977e7i | −0.490674 | − | 0.145819i | ||||
\(417\) | −7.09833e7 | −0.978922 | ||||||||
\(418\) | 6.40500e7 | + | 7.80355e7i | 0.876981 | + | 1.06847i | ||||
\(419\) | − | 6.84576e7i | − | 0.930636i | −0.885144 | − | 0.465318i | \(-0.845940\pi\) | ||
0.885144 | − | 0.465318i | \(-0.154060\pi\) | |||||||
\(420\) | 25306.2 | − | 2.33709e6i | 0.000341570 | − | 0.0315448i | ||||
\(421\) | 1.87056e7 | + | 1.06084e8i | 0.250683 | + | 1.42169i | 0.806916 | + | 0.590666i | \(0.201135\pi\) |
−0.556233 | + | 0.831026i | \(0.687754\pi\) | |||||||
\(422\) | −1.15347e8 | + | 3.02387e7i | −1.53486 | + | 0.402371i | ||||
\(423\) | 821224. | + | 978696.i | 0.0108503 | + | 0.0129308i | ||||
\(424\) | −6.90327e7 | − | 3.35660e7i | −0.905644 | − | 0.440354i | ||||
\(425\) | −1.06527e7 | + | 1.84511e7i | −0.138770 | + | 0.240356i | ||||
\(426\) | −565085. | + | 6.07968e6i | −0.00730946 | + | 0.0786415i | ||||
\(427\) | −1.36854e6 | − | 3.76003e6i | −0.0175782 | − | 0.0482956i | ||||
\(428\) | 5.76353e7 | − | 4.73079e7i | 0.735119 | − | 0.603396i | ||||
\(429\) | −2.77698e7 | − | 4.80987e7i | −0.351723 | − | 0.609202i | ||||
\(430\) | 1.27006e6 | + | 2.76260e6i | 0.0159741 | + | 0.0347466i | ||||
\(431\) | −7.95279e7 | − | 1.40229e7i | −0.993316 | − | 0.175148i | −0.346710 | − | 0.937972i | \(-0.612701\pi\) |
−0.646606 | + | 0.762824i | \(0.723812\pi\) | |||||||
\(432\) | −7.95279e7 | − | 1.58058e7i | −0.986435 | − | 0.196049i | ||||
\(433\) | −4.16337e7 | − | 3.49349e7i | −0.512840 | − | 0.430324i | 0.349287 | − | 0.937016i | \(-0.386424\pi\) |
−0.862127 | + | 0.506692i | \(0.830868\pi\) | |||||||
\(434\) | −6.95801e6 | + | 1.47130e7i | −0.0851169 | + | 0.179983i | ||||
\(435\) | 2.62417e6 | − | 7.20986e6i | 0.0318805 | − | 0.0875909i | ||||
\(436\) | 5.00160e7 | + | 1.42190e8i | 0.603462 | + | 1.71557i | ||||
\(437\) | −5.69704e6 | + | 2.61898e6i | −0.0682661 | + | 0.0313825i | ||||
\(438\) | 3.31924e7 | − | 4.68616e7i | 0.395017 | − | 0.557692i | ||||
\(439\) | −4.04957e6 | + | 1.11261e7i | −0.0478647 | + | 0.131507i | −0.961322 | − | 0.275428i | \(-0.911180\pi\) |
0.913457 | + | 0.406935i | \(0.133403\pi\) | |||||||
\(440\) | 802550. | − | 7.72580e6i | 0.00942137 | − | 0.0906954i | ||||
\(441\) | 587081. | + | 492619.i | 0.00684513 | + | 0.00574375i | ||||
\(442\) | 1.22800e7 | − | 1.00740e6i | 0.142211 | − | 0.0116664i | ||||
\(443\) | 1.28732e8 | + | 2.26989e7i | 1.48073 | + | 0.261092i | 0.854869 | − | 0.518844i | \(-0.173637\pi\) |
0.625859 | + | 0.779936i | \(0.284749\pi\) | |||||||
\(444\) | −9.64691e6 | + | 5.14466e7i | −0.110215 | + | 0.587770i | ||||
\(445\) | 5.64195e6 | + | 9.77215e6i | 0.0640250 | + | 0.110895i | ||||
\(446\) | −2.99921e7 | + | 1.09556e8i | −0.338067 | + | 1.23490i | ||||
\(447\) | −2.33822e6 | − | 6.42420e6i | −0.0261796 | − | 0.0719278i | ||||
\(448\) | 4.32296e7 | + | 1.40472e6i | 0.480780 | + | 0.0156227i | ||||
\(449\) | −3.30014e6 | + | 5.71601e6i | −0.0364580 | + | 0.0631471i | −0.883679 | − | 0.468094i | \(-0.844941\pi\) |
0.847221 | + | 0.531241i | \(0.178274\pi\) | |||||||
\(450\) | −749879. | + | 741803.i | −0.00822913 | + | 0.00814050i | ||||
\(451\) | −2.63329e7 | − | 3.13824e7i | −0.287058 | − | 0.342103i | ||||
\(452\) | 4.45735e7 | − | 1.18458e8i | 0.482683 | − | 1.28277i | ||||
\(453\) | 279074. | + | 1.58271e6i | 0.00300210 | + | 0.0170258i | ||||
\(454\) | −7.74581e7 | + | 5.36142e7i | −0.827750 | + | 0.572944i | ||||
\(455\) | 1.53002e6i | 0.0162429i | ||||||||
\(456\) | 9.42439e7 | + | 2.04308e6i | 0.993937 | + | 0.0215472i | ||||
\(457\) | 95657.6 | 0.00100224 | 0.000501119 | − | 1.00000i | \(-0.499840\pi\) | ||||
0.000501119 | 1.00000i | \(0.499840\pi\) | ||||||||
\(458\) | 7.73767e7 | + | 1.11789e8i | 0.805404 | + | 1.16359i | ||||
\(459\) | 2.66986e7 | − | 4.70768e6i | 0.276090 | − | 0.0486821i | ||||
\(460\) | 451515. | + | 169897.i | 0.00463872 | + | 0.00174546i | ||||
\(461\) | 3.98098e7 | − | 3.34044e7i | 0.406338 | − | 0.340958i | −0.416600 | − | 0.909090i | \(-0.636778\pi\) |
0.822937 | + | 0.568132i | \(0.192334\pi\) | |||||||
\(462\) | 4.58441e7 | + | 4.63432e7i | 0.464898 | + | 0.469959i | ||||
\(463\) | −1.48549e8 | − | 8.57651e7i | −1.49668 | − | 0.864107i | −0.496684 | − | 0.867931i | \(-0.665449\pi\) |
−0.999993 | + | 0.00382420i | \(0.998783\pi\) | |||||||
\(464\) | 1.32342e8 | + | 5.14403e7i | 1.32478 | + | 0.514932i | ||||
\(465\) | 2.56452e6 | − | 933410.i | 0.0255063 | − | 0.00928354i | ||||
\(466\) | 1.36315e8 | + | 3.73175e7i | 1.34705 | + | 0.368769i | ||||
\(467\) | 1.48937e8 | − | 8.59890e7i | 1.46235 | − | 0.844291i | 0.463235 | − | 0.886236i | \(-0.346689\pi\) |
0.999120 | + | 0.0419449i | \(0.0133554\pi\) | |||||||
\(468\) | 599554. | + | 112424.i | 0.00584912 | + | 0.00109679i | ||||
\(469\) | 5.02292e6 | − | 2.84864e7i | 0.0486898 | − | 0.276133i | ||||
\(470\) | 813029. | + | 9.91065e6i | 0.00783092 | + | 0.0954572i | ||||
\(471\) | −2.85240e7 | + | 3.39935e7i | −0.272990 | + | 0.325337i | ||||
\(472\) | 1.68663e6 | − | 1.62365e7i | 0.0160396 | − | 0.154406i | ||||
\(473\) | −7.96893e7 | − | 2.90045e7i | −0.753037 | − | 0.274083i | ||||
\(474\) | 4.78049e6 | + | 3.38605e6i | 0.0448887 | + | 0.0317950i | ||||
\(475\) | 6.16778e7 | − | 8.70742e7i | 0.575504 | − | 0.812472i | ||||
\(476\) | −1.36422e7 | + | 4.79872e6i | −0.126492 | + | 0.0444943i | ||||
\(477\) | 1.19401e6 | + | 434582.i | 0.0110015 | + | 0.00400421i | ||||
\(478\) | 1.17696e8 | + | 5.56602e7i | 1.07765 | + | 0.509637i | ||||
\(479\) | −2.52004e7 | + | 3.00327e7i | −0.229298 | + | 0.273267i | −0.868410 | − | 0.495847i | \(-0.834858\pi\) |
0.639112 | + | 0.769114i | \(0.279302\pi\) | |||||||
\(480\) | −4.98776e6 | − | 5.26537e6i | −0.0451006 | − | 0.0476108i | ||||
\(481\) | 5.95013e6 | − | 3.37449e7i | 0.0534677 | − | 0.303230i | ||||
\(482\) | 5.97514e7 | − | 2.74697e7i | 0.533589 | − | 0.245308i | ||||
\(483\) | −3.50627e6 | + | 2.02434e6i | −0.0311174 | + | 0.0179657i | ||||
\(484\) | 6.55129e7 | + | 7.98146e7i | 0.577818 | + | 0.703957i | ||||
\(485\) | −9.06205e6 | + | 3.29831e6i | −0.0794330 | + | 0.0289113i | ||||
\(486\) | 2.65750e6 | + | 247005.i | 0.0231507 | + | 0.00215178i | ||||
\(487\) | −1.79975e8 | − | 1.03909e8i | −1.55821 | − | 0.899632i | −0.997429 | − | 0.0716671i | \(-0.977168\pi\) |
−0.560780 | − | 0.827965i | \(-0.689499\pi\) | |||||||
\(488\) | −1.11666e7 | − | 5.42958e6i | −0.0960865 | − | 0.0467205i | ||||
\(489\) | 2.33522e7 | − | 1.95948e7i | 0.199710 | − | 0.167577i | ||||
\(490\) | 1.51263e6 | + | 5.77000e6i | 0.0128572 | + | 0.0490442i | ||||
\(491\) | 6.60846e7 | − | 1.16525e7i | 0.558284 | − | 0.0984406i | 0.112616 | − | 0.993639i | \(-0.464077\pi\) |
0.445669 | + | 0.895198i | \(0.352966\pi\) | |||||||
\(492\) | −3.82502e7 | − | 414176.i | −0.321172 | − | 0.00347768i | ||||
\(493\) | −4.74739e7 | −0.396200 | ||||||||
\(494\) | −6.17058e7 | − | 669386.i | −0.511853 | − | 0.00555260i | ||||
\(495\) | 128575.i | 0.00106008i | ||||||||
\(496\) | 1.62418e7 | + | 4.78216e7i | 0.133104 | + | 0.391903i | ||||
\(497\) | 814656. | + | 4.62015e6i | 0.00663598 | + | 0.0376345i | ||||
\(498\) | 2.48083e7 | + | 9.46323e7i | 0.200867 | + | 0.766216i | ||||
\(499\) | −1.58329e7 | − | 1.88689e7i | −0.127426 | − | 0.151860i | 0.698559 | − | 0.715552i | \(-0.253825\pi\) |
−0.825985 | + | 0.563692i | \(0.809380\pi\) | |||||||
\(500\) | −1.62355e7 | + | 2.68183e6i | −0.129884 | + | 0.0214547i | ||||
\(501\) | 5.38453e7 | − | 9.32629e7i | 0.428188 | − | 0.741644i | ||||
\(502\) | −1.03930e8 | − | 9.65996e6i | −0.821544 | − | 0.0763597i | ||||
\(503\) | 7.93668e7 | + | 2.18059e8i | 0.623641 | + | 1.71344i | 0.697894 | + | 0.716201i | \(0.254121\pi\) |
−0.0742525 | + | 0.997239i | \(0.523657\pi\) | |||||||
\(504\) | −714160. | + | 50808.6i | −0.00557832 | + | 0.000396868i | ||||
\(505\) | −1.58380e6 | − | 2.74323e6i | −0.0122978 | − | 0.0213004i | ||||
\(506\) | −1.22251e7 | + | 5.62028e6i | −0.0943627 | + | 0.0433817i | ||||
\(507\) | −9.41626e7 | − | 1.66034e7i | −0.722528 | − | 0.127401i | ||||
\(508\) | 4.32080e7 | − | 7.30015e7i | 0.329590 | − | 0.556853i | ||||
\(509\) | 1.55497e8 | + | 1.30478e8i | 1.17915 | + | 0.989426i | 0.999984 | + | 0.00560728i | \(0.00178486\pi\) |
0.179168 | + | 0.983819i | \(0.442660\pi\) | |||||||
\(510\) | 2.19219e6 | + | 1.03672e6i | 0.0165260 | + | 0.00781539i | ||||
\(511\) | 1.50909e7 | − | 4.14619e7i | 0.113097 | − | 0.310733i | ||||
\(512\) | 9.94161e7 | − | 9.01712e7i | 0.740707 | − | 0.671828i | ||||
\(513\) | −1.35325e8 | + | 1.10988e7i | −1.00236 | + | 0.0822096i | ||||
\(514\) | 1.51064e8 | + | 1.07000e8i | 1.11243 | + | 0.787940i | ||||
\(515\) | −5.57894e6 | + | 1.53280e7i | −0.0408442 | + | 0.112218i | ||||
\(516\) | −6.90006e7 | + | 3.88475e7i | −0.502231 | + | 0.282757i | ||||
\(517\) | −2.12458e8 | − | 1.78274e8i | −1.53745 | − | 1.29008i | ||||
\(518\) | 3.28824e6 | + | 4.00829e7i | 0.0236578 | + | 0.288383i | ||||
\(519\) | 4.81753e7 | + | 8.49461e6i | 0.344606 | + | 0.0607633i | ||||
\(520\) | 3.30227e6 | + | 3.41132e6i | 0.0234856 | + | 0.0242612i | ||||
\(521\) | 7.35724e7 | + | 1.27431e8i | 0.520237 | + | 0.901077i | 0.999723 | + | 0.0235279i | \(0.00748984\pi\) |
−0.479486 | + | 0.877550i | \(0.659177\pi\) | |||||||
\(522\) | −2.26693e6 | − | 620596.i | −0.0159378 | − | 0.00436312i | ||||
\(523\) | −2.11419e6 | − | 5.80868e6i | −0.0147788 | − | 0.0406044i | 0.932084 | − | 0.362242i | \(-0.117989\pi\) |
−0.946863 | + | 0.321638i | \(0.895767\pi\) | |||||||
\(524\) | −7.27069e7 | − | 6.23622e7i | −0.505338 | − | 0.433439i | ||||
\(525\) | 3.44501e7 | − | 5.96693e7i | 0.238074 | − | 0.412357i | ||||
\(526\) | −1.11317e8 | − | 1.12529e8i | −0.764898 | − | 0.773225i | ||||
\(527\) | −1.08543e7 | − | 1.29357e7i | −0.0741601 | − | 0.0883806i | ||||
\(528\) | 2.02237e8 | + | 4.38019e6i | 1.37391 | + | 0.0297571i | ||||
\(529\) | 2.55610e7 | + | 1.44964e8i | 0.172668 | + | 0.979248i | ||||
\(530\) | 5.62858e6 | + | 8.13180e6i | 0.0378069 | + | 0.0546209i | ||||
\(531\) | 270211.i | 0.00180476i | ||||||||
\(532\) | 7.02563e7 | − | 1.76058e7i | 0.466606 | − | 0.116929i | ||||
\(533\) | 2.50412e7 | 0.165376 | ||||||||
\(534\) | −2.41629e8 | + | 1.67248e8i | −1.58681 | + | 1.09834i | ||||
\(535\) | −9.46085e6 | + | 1.66820e6i | −0.0617830 | + | 0.0108940i | ||||
\(536\) | −5.02836e7 | − | 7.43540e7i | −0.326537 | − | 0.482848i | ||||
\(537\) | 8.93915e6 | − | 7.50084e6i | 0.0577263 | − | 0.0484381i | ||||
\(538\) | 1.38053e8 | − | 1.36566e8i | 0.886543 | − | 0.876995i | ||||
\(539\) | −1.44079e8 | − | 8.31840e7i | −0.920098 | − | 0.531219i | ||||
\(540\) | 7.92945e6 | + | 6.80125e6i | 0.0503572 | + | 0.0431924i | ||||
\(541\) | 7.71365e7 | − | 2.80754e7i | 0.487156 | − | 0.177310i | −0.0867520 | − | 0.996230i | \(-0.527649\pi\) |
0.573908 | + | 0.818920i | \(0.305427\pi\) | |||||||
\(542\) | 9.45090e6 | − | 3.45226e7i | 0.0593575 | − | 0.216823i | ||||
\(543\) | −1.29700e8 | + | 7.48824e7i | −0.810104 | + | 0.467714i | ||||
\(544\) | −2.00593e7 | + | 4.01433e7i | −0.124600 | + | 0.249354i | ||||
\(545\) | 3.37222e6 | − | 1.91248e7i | 0.0208318 | − | 0.118143i | ||||
\(546\) | −3.97126e7 | + | 3.25786e6i | −0.243978 | + | 0.0200150i | ||||
\(547\) | 1.29268e8 | − | 1.54055e8i | 0.789819 | − | 0.941270i | −0.209513 | − | 0.977806i | \(-0.567188\pi\) |
0.999332 | + | 0.0365357i | \(0.0116323\pi\) | |||||||
\(548\) | −4.83265e7 | + | 2.72080e7i | −0.293659 | + | 0.165331i | ||||
\(549\) | 193140. | + | 70297.3i | 0.00116723 | + | 0.000424836i | ||||
\(550\) | 1.32350e8 | − | 1.86854e8i | 0.795492 | − | 1.12309i | ||||
\(551\) | 2.36746e8 | + | 2.20095e7i | 1.41523 | + | 0.131569i | ||||
\(552\) | −3.44836e6 | + | 1.20811e7i | −0.0205020 | + | 0.0718273i | ||||
\(553\) | 4.22965e6 | + | 1.53947e6i | 0.0250109 | + | 0.00910322i | ||||
\(554\) | 4.25954e7 | − | 9.00698e7i | 0.250515 | − | 0.529724i | ||||
\(555\) | 4.33485e6 | − | 5.16608e6i | 0.0253569 | − | 0.0302191i | ||||
\(556\) | −8.62037e7 | + | 1.45644e8i | −0.501535 | + | 0.847362i | ||||
\(557\) | 1.28548e7 | − | 7.29030e7i | 0.0743873 | − | 0.421871i | −0.924759 | − | 0.380554i | \(-0.875733\pi\) |
0.999146 | − | 0.0413175i | \(-0.0131555\pi\) | |||||||
\(558\) | −349206. | − | 759584.i | −0.00200992 | − | 0.00437193i | ||||
\(559\) | 4.48919e7 | − | 2.59183e7i | 0.256999 | − | 0.148379i | ||||
\(560\) | −4.76453e6 | − | 2.89014e6i | −0.0271304 | − | 0.0164571i | ||||
\(561\) | −6.35555e7 | + | 2.31323e7i | −0.359969 | + | 0.131018i | ||||
\(562\) | 3.03652e7 | − | 3.26695e8i | 0.171067 | − | 1.84049i | ||||
\(563\) | 2.40703e8 | + | 1.38970e8i | 1.34883 | + | 0.778746i | 0.988084 | − | 0.153918i | \(-0.0491893\pi\) |
0.360745 | + | 0.932665i | \(0.382523\pi\) | |||||||
\(564\) | −2.55506e8 | + | 4.22054e7i | −1.42418 | + | 0.235250i | ||||
\(565\) | −1.24916e7 | + | 1.04817e7i | −0.0692587 | + | 0.0581149i | ||||
\(566\) | 8.70506e7 | − | 2.28208e7i | 0.480090 | − | 0.125858i | ||||
\(567\) | −8.53372e7 | + | 1.50473e7i | −0.468155 | + | 0.0825483i | ||||
\(568\) | 1.17881e7 | + | 8.54275e6i | 0.0643278 | + | 0.0466179i | ||||
\(569\) | 1.28291e8 | 0.696401 | 0.348201 | − | 0.937420i | \(-0.386793\pi\) | ||||
0.348201 | + | 0.937420i | \(0.386793\pi\) | |||||||
\(570\) | −1.04515e7 | − | 6.18629e6i | −0.0564357 | − | 0.0334046i | ||||
\(571\) | − | 2.40905e8i | − | 1.29401i | −0.762486 | − | 0.647005i | \(-0.776021\pi\) | ||
0.762486 | − | 0.647005i | \(-0.223979\pi\) | |||||||
\(572\) | −1.32414e8 | − | 1.43379e6i | −0.707530 | − | 0.00766119i | ||||
\(573\) | 4.11390e7 | + | 2.33311e8i | 0.218670 | + | 1.24014i | ||||
\(574\) | −2.84303e7 | + | 7.45314e6i | −0.150330 | + | 0.0394098i | ||||
\(575\) | 9.14142e6 | + | 1.08943e7i | 0.0480850 | + | 0.0573055i | ||||
\(576\) | −1.48262e6 | + | 1.65467e6i | −0.00775824 | + | 0.00865851i | ||||
\(577\) | −2.30225e7 | + | 3.98761e7i | −0.119846 | + | 0.207580i | −0.919707 | − | 0.392606i | \(-0.871573\pi\) |
0.799860 | + | 0.600186i | \(0.204907\pi\) | |||||||
\(578\) | −1.64824e7 | + | 1.77332e8i | −0.0853565 | + | 0.918339i | ||||
\(579\) | 6.94585e7 | + | 1.90836e8i | 0.357841 | + | 0.983159i | ||||
\(580\) | −1.16064e7 | − | 1.41401e7i | −0.0594858 | − | 0.0724718i | ||||
\(581\) | 3.75836e7 | + | 6.50966e7i | 0.191633 | + | 0.331917i | ||||
\(582\) | −1.04906e8 | − | 2.28188e8i | −0.532145 | − | 1.15751i | ||||
\(583\) | −2.71643e8 | − | 4.78979e7i | −1.37086 | − | 0.241719i | ||||
\(584\) | −5.58415e7 | − | 1.25014e8i | −0.280362 | − | 0.627655i | ||||
\(585\) | −60205.0 | − | 50518.0i | −0.000300722 | − | 0.000252336i | ||||
\(586\) | −2.61595e7 | + | 5.53154e7i | −0.129998 | + | 0.274887i | ||||
\(587\) | −2.95923e7 | + | 8.13042e7i | −0.146307 | + | 0.401975i | −0.991100 | − | 0.133118i | \(-0.957501\pi\) |
0.844793 | + | 0.535093i | \(0.179723\pi\) | |||||||
\(588\) | −1.46543e8 | + | 5.15474e7i | −0.720830 | + | 0.253556i | ||||
\(589\) | 4.81318e7 | + | 6.95405e7i | 0.235552 | + | 0.340324i | ||||
\(590\) | −1.21562e6 | + | 1.71624e6i | −0.00591892 | + | 0.00835644i | ||||
\(591\) | −8.34717e7 | + | 2.29337e8i | −0.404368 | + | 1.11099i | ||||
\(592\) | 9.38432e7 | + | 8.22715e7i | 0.452311 | + | 0.396537i | ||||
\(593\) | −2.64802e8 | − | 2.22195e8i | −1.26986 | − | 1.06554i | −0.994558 | − | 0.104185i | \(-0.966777\pi\) |
−0.275305 | − | 0.961357i | \(-0.588779\pi\) | |||||||
\(594\) | −2.90391e8 | + | 2.38225e7i | −1.38555 | + | 0.113665i | ||||
\(595\) | 1.83490e6 | + | 323543.i | 0.00871088 | + | 0.00153596i | ||||
\(596\) | −1.60208e7 | − | 3.00412e6i | −0.0756739 | − | 0.0141898i | ||||
\(597\) | −5.38938e7 | − | 9.33468e7i | −0.253289 | − | 0.438709i | ||||
\(598\) | 2.17164e6 | − | 7.93263e6i | 0.0101551 | − | 0.0370949i | ||||
\(599\) | −4.27603e7 | − | 1.17483e8i | −0.198958 | − | 0.546631i | 0.799588 | − | 0.600549i | \(-0.205051\pi\) |
−0.998545 | + | 0.0539178i | \(0.982829\pi\) | |||||||
\(600\) | −5.19758e7 | − | 2.07393e8i | −0.240629 | − | 0.960151i | ||||
\(601\) | −1.03104e8 | + | 1.78581e8i | −0.474954 | + | 0.822645i | −0.999589 | − | 0.0286829i | \(-0.990869\pi\) |
0.524634 | + | 0.851328i | \(0.324202\pi\) | |||||||
\(602\) | −4.32534e7 | + | 4.27876e7i | −0.198258 | + | 0.196123i | ||||
\(603\) | 955070. | + | 1.13821e6i | 0.00435595 | + | 0.00519122i | ||||
\(604\) | 3.58633e6 | + | 1.34947e6i | 0.0162757 | + | 0.00612424i | ||||
\(605\) | −2.31016e6 | − | 1.31016e7i | −0.0104322 | − | 0.0591640i | ||||
\(606\) | 6.78297e7 | − | 4.69497e7i | 0.304791 | − | 0.210967i | ||||
\(607\) | 1.60062e8i | 0.715685i | 0.933782 | + | 0.357842i | \(0.116487\pi\) | ||||
−0.933782 | + | 0.357842i | \(0.883513\pi\) | |||||||
\(608\) | 1.18644e8 | − | 1.90889e8i | 0.527879 | − | 0.849319i | ||||
\(609\) | 1.53527e8 | 0.679724 | ||||||||
\(610\) | 910470. | + | 1.31539e6i | 0.00401122 | + | 0.00579514i | ||||
\(611\) | 1.66953e8 | − | 2.94383e7i | 0.731932 | − | 0.129059i | ||||
\(612\) | 261610. | − | 695252.i | 0.00114130 | − | 0.00303311i | ||||
\(613\) | −1.51888e8 | + | 1.27449e8i | −0.659391 | + | 0.553295i | −0.909904 | − | 0.414818i | \(-0.863845\pi\) |
0.250513 | + | 0.968113i | \(0.419401\pi\) | |||||||
\(614\) | 1.35846e8 | + | 1.37325e8i | 0.586871 | + | 0.593260i | ||||
\(615\) | 4.26811e6 | + | 2.46420e6i | 0.0183489 | + | 0.0105938i | ||||
\(616\) | 1.50761e8 | − | 3.77832e7i | 0.644983 | − | 0.161643i | ||||
\(617\) | 2.27757e8 | − | 8.28969e7i | 0.969654 | − | 0.352925i | 0.191845 | − | 0.981425i | \(-0.438553\pi\) |
0.777810 | + | 0.628500i | \(0.216331\pi\) | |||||||
\(618\) | −4.09727e8 | − | 1.12167e8i | −1.73592 | − | 0.475226i | ||||
\(619\) | 2.14389e8 | − | 1.23777e8i | 0.903920 | − | 0.521878i | 0.0254501 | − | 0.999676i | \(-0.491898\pi\) |
0.878470 | + | 0.477798i | \(0.158565\pi\) | |||||||
\(620\) | 1.19923e6 | − | 6.39547e6i | 0.00503186 | − | 0.0268347i | ||||
\(621\) | 3.14240e6 | − | 1.78215e7i | 0.0131216 | − | 0.0744164i | ||||
\(622\) | 1.85098e7 | + | 2.25630e8i | 0.0769183 | + | 0.937617i | ||||
\(623\) | −1.45134e8 | + | 1.72965e8i | −0.600214 | + | 0.715308i | ||||
\(624\) | −8.15114e7 | + | 9.29762e7i | −0.335478 | + | 0.382664i | ||||
\(625\) | −2.26427e8 | − | 8.24125e7i | −0.927443 | − | 0.337562i | ||||
\(626\) | −1.76425e8 | − | 1.24963e8i | −0.719179 | − | 0.509399i | ||||
\(627\) | 3.27667e8 | − | 8.58925e7i | 1.32932 | − | 0.348460i | ||||
\(628\) | 3.51082e7 | + | 9.98083e7i | 0.141752 | + | 0.402984i | ||||
\(629\) | −3.92109e7 | − | 1.42716e7i | −0.157563 | − | 0.0573483i | ||||
\(630\) | 83389.2 | + | 39436.0i | 0.000333494 | + | 0.000157715i | ||||
\(631\) | −2.24815e8 | + | 2.67924e8i | −0.894824 | + | 1.06641i | 0.102603 | + | 0.994722i | \(0.467283\pi\) |
−0.997427 | + | 0.0716872i | \(0.977162\pi\) | |||||||
\(632\) | 1.27531e7 | − | 5.69655e6i | 0.0505200 | − | 0.0225663i | ||||
\(633\) | −6.94774e7 | + | 3.94026e8i | −0.273925 | + | 1.55351i | ||||
\(634\) | −2.05353e8 | + | 9.44074e7i | −0.805810 | + | 0.370457i | ||||
\(635\) | −9.46515e6 | + | 5.46471e6i | −0.0369663 | + | 0.0213425i | ||||
\(636\) | −1.99081e8 | + | 1.63408e8i | −0.773853 | + | 0.635189i | ||||
\(637\) | 9.55605e7 | − | 3.47812e7i | 0.369709 | − | 0.134563i | ||||
\(638\) | 5.08030e8 | + | 4.72197e7i | 1.95626 | + | 0.181828i | ||||
\(639\) | −208697. | − | 120491.i | −0.000799860 | − | 0.000461799i | ||||
\(640\) | −1.68608e7 | + | 3.83955e6i | −0.0643188 | + | 0.0146467i | ||||
\(641\) | 1.34229e8 | − | 1.12631e8i | 0.509649 | − | 0.427646i | −0.351357 | − | 0.936242i | \(-0.614280\pi\) |
0.861006 | + | 0.508596i | \(0.169835\pi\) | |||||||
\(642\) | −6.34442e7 | − | 2.42010e8i | −0.239766 | − | 0.914594i | ||||
\(643\) | −3.22825e8 | + | 5.69227e7i | −1.21432 | + | 0.214118i | −0.743880 | − | 0.668313i | \(-0.767016\pi\) |
−0.470442 | + | 0.882431i | \(0.655905\pi\) | |||||||
\(644\) | −104519. | + | 9.65261e6i | −0.000391326 | + | 0.0361399i | ||||
\(645\) | 1.02020e7 | 0.0380197 | ||||||||
\(646\) | −1.38513e7 | + | 7.38602e7i | −0.0513798 | + | 0.273976i | ||||
\(647\) | 2.46827e8i | 0.911339i | 0.890149 | + | 0.455670i | \(0.150600\pi\) | ||||
−0.890149 | + | 0.455670i | \(0.849400\pi\) | |||||||
\(648\) | −1.57790e8 | + | 2.17734e8i | −0.579903 | + | 0.800205i | ||||
\(649\) | −1.01859e7 | − | 5.77672e7i | −0.0372620 | − | 0.211323i | ||||
\(650\) | 3.54929e7 | + | 1.35389e8i | 0.129241 | + | 0.492996i | ||||
\(651\) | 3.51020e7 | + | 4.18329e7i | 0.127230 | + | 0.151627i | ||||
\(652\) | −1.18454e7 | − | 7.17105e7i | −0.0427373 | − | 0.258726i | ||||
\(653\) | 2.74709e8 | − | 4.75809e8i | 0.986581 | − | 1.70881i | 0.351894 | − | 0.936040i | \(-0.385538\pi\) |
0.634687 | − | 0.772769i | \(-0.281129\pi\) | |||||||
\(654\) | 5.03577e8 | + | 4.68058e7i | 1.80025 | + | 0.167327i | ||||
\(655\) | 4.22094e6 | + | 1.15969e7i | 0.0150205 | + | 0.0412686i | ||||
\(656\) | −4.73017e7 | + | 7.79791e7i | −0.167558 | + | 0.276227i | ||||
\(657\) | 1.13322e6 | + | 1.96280e6i | 0.00399594 | + | 0.00692118i | ||||
\(658\) | −1.80787e8 | + | 8.31137e7i | −0.634584 | + | 0.291739i | ||||
\(659\) | −3.76405e8 | − | 6.63704e7i | −1.31522 | − | 0.231909i | −0.528352 | − | 0.849026i | \(-0.677190\pi\) |
−0.786872 | + | 0.617116i | \(0.788301\pi\) | |||||||
\(660\) | −2.24280e7 | − | 1.32746e7i | −0.0780115 | − | 0.0461733i | ||||
\(661\) | −2.09947e8 | − | 1.76166e8i | −0.726950 | − | 0.609984i | 0.202348 | − | 0.979314i | \(-0.435143\pi\) |
−0.929298 | + | 0.369330i | \(0.879587\pi\) | |||||||
\(662\) | −1.87168e8 | − | 8.85145e7i | −0.645145 | − | 0.305099i | ||||
\(663\) | 1.41398e7 | − | 3.88486e7i | 0.0485178 | − | 0.133302i | ||||
\(664\) | 2.24295e8 | + | 6.40216e7i | 0.766153 | + | 0.218687i | ||||
\(665\) | −9.00040e6 | − | 2.46414e6i | −0.0306053 | − | 0.00837918i | ||||
\(666\) | −1.68580e6 | − | 1.19406e6i | −0.00570668 | − | 0.00404208i | ||||
\(667\) | −1.08383e7 | + | 2.97780e7i | −0.0365245 | + | 0.100350i | ||||
\(668\) | −1.25967e8 | − | 2.23741e8i | −0.422597 | − | 0.750613i | ||||
\(669\) | 2.91956e8 | + | 2.44981e8i | 0.975079 | + | 0.818188i | ||||
\(670\) | 945540. | + | 1.15259e7i | 0.00314380 | + | 0.0383223i | ||||
\(671\) | −4.39404e7 | − | 7.74789e6i | −0.145444 | − | 0.0256458i | ||||
\(672\) | 6.48703e7 | − | 1.29820e8i | 0.213766 | − | 0.427794i | ||||
\(673\) | −7.64432e7 | − | 1.32403e8i | −0.250780 | − | 0.434364i | 0.712961 | − | 0.701204i | \(-0.247354\pi\) |
−0.963741 | + | 0.266840i | \(0.914021\pi\) | |||||||
\(674\) | −3.67852e8 | − | 1.00703e8i | −1.20142 | − | 0.328900i | ||||
\(675\) | 1.05329e8 | + | 2.89390e8i | 0.342482 | + | 0.940963i | ||||
\(676\) | −1.48420e8 | + | 1.73040e8i | −0.480455 | + | 0.560153i | ||||
\(677\) | 1.81940e8 | − | 3.15129e8i | 0.586357 | − | 1.01560i | −0.408348 | − | 0.912826i | \(-0.633895\pi\) |
0.994705 | − | 0.102773i | \(-0.0327716\pi\) | |||||||
\(678\) | −2.98658e8 | − | 3.01910e8i | −0.958265 | − | 0.968697i | ||||
\(679\) | −1.24037e8 | − | 1.47822e8i | −0.396225 | − | 0.472203i | ||||
\(680\) | 4.78939e6 | − | 3.23894e6i | 0.0152319 | − | 0.0103009i | ||||
\(681\) | 5.48871e7 | + | 3.11280e8i | 0.173792 | + | 0.985621i | ||||
\(682\) | 1.03288e8 | + | 1.49224e8i | 0.325610 | + | 0.470420i | ||||
\(683\) | 4.71537e8i | 1.47997i | 0.672622 | + | 0.739986i | \(0.265168\pi\) | ||||
−0.672622 | + | 0.739986i | \(0.734832\pi\) | |||||||
\(684\) | −1.62694e6 | + | 3.34584e6i | −0.00508397 | + | 0.0104553i | ||||
\(685\) | 7.14530e6 | 0.0222305 | ||||||||
\(686\) | −2.25830e8 | + | 1.56312e8i | −0.699533 | + | 0.484196i | ||||
\(687\) | 4.49244e8 | − | 7.92138e7i | 1.38552 | − | 0.244304i | ||||
\(688\) | −4.08815e6 | + | 1.88753e8i | −0.0125534 | + | 0.579601i | ||||
\(689\) | 1.29159e8 | − | 1.08377e8i | 0.394880 | − | 0.331344i | ||||
\(690\) | 1.15076e6 | − | 1.13837e6i | 0.00350298 | − | 0.00346525i | ||||
\(691\) | −1.99528e8 | − | 1.15198e8i | −0.604742 | − | 0.349148i | 0.166163 | − | 0.986098i | \(-0.446862\pi\) |
−0.770905 | + | 0.636950i | \(0.780196\pi\) | |||||||
\(692\) | 7.59345e7 | − | 8.85306e7i | 0.229151 | − | 0.267162i | ||||
\(693\) | −2.41760e6 | + | 879936.i | −0.00726416 | + | 0.00264394i | ||||
\(694\) | 1.31724e8 | − | 4.81164e8i | 0.394081 | − | 1.43951i | ||||
\(695\) | 1.88838e7 | − | 1.09026e7i | 0.0562516 | − | 0.0324769i | ||||
\(696\) | 3.42302e8 | − | 3.31360e8i | 1.01527 | − | 0.982816i | ||||
\(697\) | 5.29529e6 | − | 3.00311e7i | 0.0156384 | − | 0.0886896i | ||||
\(698\) | 5.69505e8 | − | 4.67198e7i | 1.67468 | − | 0.137384i | ||||
\(699\) | 3.04816e8 | − | 3.63265e8i | 0.892495 | − | 1.06363i | ||||
\(700\) | −8.05932e7 | − | 1.43149e8i | −0.234965 | − | 0.417344i | ||||
\(701\) | 5.69459e8 | + | 2.07266e8i | 1.65314 | + | 0.601692i | 0.989262 | − | 0.146152i | \(-0.0466888\pi\) |
0.663874 | + | 0.747844i | \(0.268911\pi\) | |||||||
\(702\) | 1.02942e8 | − | 1.45335e8i | 0.297564 | − | 0.420107i | ||||
\(703\) | 1.88923e8 | + | 8.93491e7i | 0.543774 | + | 0.257172i | ||||
\(704\) | 2.54588e8 | − | 4.09632e8i | 0.729660 | − | 1.17402i | ||||
\(705\) | 3.13530e7 | + | 1.14116e7i | 0.0894770 | + | 0.0325670i | ||||
\(706\) | 1.28818e8 | − | 2.72392e8i | 0.366069 | − | 0.774069i | ||||
\(707\) | 4.07420e7 | − | 4.85544e7i | 0.115288 | − | 0.137395i | ||||
\(708\) | −4.71344e7 | − | 2.78978e7i | −0.132812 | − | 0.0786088i | ||||
\(709\) | −6.12122e7 | + | 3.47152e8i | −0.171751 | + | 0.974048i | 0.770076 | + | 0.637952i | \(0.220218\pi\) |
−0.941827 | + | 0.336097i | \(0.890893\pi\) | |||||||
\(710\) | −783467. | − | 1.70418e6i | −0.00218900 | − | 0.00476146i | ||||
\(711\) | −200231. | + | 115603.i | −0.000557086 | + | 0.000321634i | ||||
\(712\) | 4.97220e7 | + | 6.98886e8i | 0.137755 | + | 1.93627i | ||||
\(713\) | −1.05919e7 | + | 3.85515e6i | −0.0292218 | + | 0.0106359i | ||||
\(714\) | −4.49071e6 | + | 4.83150e7i | −0.0123373 | + | 0.132736i | ||||
\(715\) | 1.47753e7 | + | 8.53050e6i | 0.0404219 | + | 0.0233376i | ||||
\(716\) | −4.53439e6 | − | 2.74506e7i | −0.0123532 | − | 0.0747848i | ||||
\(717\) | 3.34640e8 | − | 2.80796e8i | 0.907863 | − | 0.761788i | ||||
\(718\) | 4.23380e8 | − | 1.10991e8i | 1.14382 | − | 0.299858i | ||||
\(719\) | 1.39588e8 | − | 2.46131e7i | 0.375544 | − | 0.0662186i | 0.0173097 | − | 0.999850i | \(-0.494490\pi\) |
0.358235 | + | 0.933632i | \(0.383379\pi\) | |||||||
\(720\) | 271039. | − | 92054.2i | 0.000726164 | − | 0.000246630i | ||||
\(721\) | −3.26395e8 | −0.870839 | ||||||||
\(722\) | 1.03317e8 | − | 3.61909e8i | 0.274511 | − | 0.961584i | ||||
\(723\) | − | 2.20657e8i | − | 0.583852i | ||||||
\(724\) | −3.86626e6 | + | 3.57059e8i | −0.0101877 | + | 0.940858i | ||||
\(725\) | −9.36454e7 | − | 5.31089e8i | −0.245738 | − | 1.39365i | ||||
\(726\) | 3.35141e8 | − | 8.78588e7i | 0.875825 | − | 0.229602i | ||||
\(727\) | −7.68368e7 | − | 9.15705e7i | −0.199971 | − | 0.238316i | 0.656735 | − | 0.754121i | \(-0.271937\pi\) |
−0.856705 | + | 0.515806i | \(0.827493\pi\) | |||||||
\(728\) | −4.15434e7 | + | 8.54392e7i | −0.107673 | + | 0.221443i | ||||
\(729\) | 1.95910e8 | − | 3.39325e8i | 0.505677 | − | 0.875858i | ||||
\(730\) | −1.63258e6 | + | 1.75648e7i | −0.00419669 | + | 0.0451517i | ||||
\(731\) | −2.15900e7 | − | 5.93181e7i | −0.0552715 | − | 0.151857i | ||||
\(732\) | −3.22030e7 | + | 2.64327e7i | −0.0821038 | + | 0.0673919i | ||||
\(733\) | 2.31912e8 | + | 4.01683e8i | 0.588858 | + | 1.01993i | 0.994382 | + | 0.105848i | \(0.0337557\pi\) |
−0.405524 | + | 0.914084i | \(0.632911\pi\) | |||||||
\(734\) | −2.90451e8 | − | 6.31781e8i | −0.734487 | − | 1.59764i | ||||
\(735\) | 1.97104e7 | + | 3.47547e6i | 0.0496401 | + | 0.00875289i | ||||
\(736\) | 2.06004e7 | + | 2.17469e7i | 0.0516703 | + | 0.0545462i | ||||
\(737\) | −2.47086e8 | − | 2.07329e8i | −0.617227 | − | 0.517915i | ||||
\(738\) | 645433. | − | 1.36480e6i | 0.00160576 | − | 0.00339546i | ||||
\(739\) | −2.69407e7 | + | 7.40191e7i | −0.0667538 | + | 0.183405i | −0.968584 | − | 0.248685i | \(-0.920001\pi\) |
0.901830 | + | 0.432090i | \(0.142224\pi\) | |||||||
\(740\) | −5.33547e6 | − | 1.51681e7i | −0.0131667 | − | 0.0374314i | ||||
\(741\) | −8.85236e7 | + | 1.87177e8i | −0.217573 | + | 0.460043i | ||||
\(742\) | −1.14382e8 | + | 1.61487e8i | −0.279993 | + | 0.395299i | ||||
\(743\) | −1.44091e8 | + | 3.95887e8i | −0.351294 | + | 0.965171i | 0.630662 | + | 0.776058i | \(0.282784\pi\) |
−0.981955 | + | 0.189113i | \(0.939439\pi\) | |||||||
\(744\) | 1.68552e8 | + | 1.75090e7i | 0.409274 | + | 0.0425151i | ||||
\(745\) | 1.60875e6 | + | 1.34990e6i | 0.00389064 | + | 0.00326463i | ||||
\(746\) | 7.18207e8 | − | 5.89187e7i | 1.72995 | − | 0.141918i | ||||
\(747\) | −3.80243e6 | − | 670471.i | −0.00912219 | − | 0.00160849i | ||||
\(748\) | −2.97201e7 | + | 1.58496e8i | −0.0710143 | + | 0.378716i | ||||
\(749\) | −9.61153e7 | − | 1.66477e8i | −0.228743 | − | 0.396194i | ||||
\(750\) | −1.45788e7 | + | 5.32540e7i | −0.0345572 | + | 0.126232i | ||||
\(751\) | −2.31972e8 | − | 6.37339e8i | −0.547667 | − | 1.50470i | −0.836852 | − | 0.547429i | \(-0.815607\pi\) |
0.289185 | − | 0.957273i | \(-0.406616\pi\) | |||||||
\(752\) | −2.23695e8 | + | 5.75505e8i | −0.526020 | + | 1.35330i | ||||
\(753\) | −1.75111e8 | + | 3.03302e8i | −0.410137 | + | 0.710379i | ||||
\(754\) | −2.21720e8 | + | 2.19332e8i | −0.517237 | + | 0.511667i | ||||
\(755\) | −317336. | − | 378186.i | −0.000737358 | − | 0.000878749i | ||||
\(756\) | −7.36173e7 | + | 1.95644e8i | −0.170378 | + | 0.452795i | ||||
\(757\) | 2.84739e7 | + | 1.61483e8i | 0.0656386 | + | 0.372255i | 0.999878 | + | 0.0156088i | \(0.00496864\pi\) |
−0.934240 | + | 0.356646i | \(0.883920\pi\) | |||||||
\(758\) | −5.35127e8 | + | 3.70399e8i | −1.22871 | + | 0.850476i | ||||
\(759\) | 4.51463e7i | 0.103252i | ||||||||
\(760\) | −2.53856e7 | + | 1.39317e7i | −0.0578292 | + | 0.0317368i | ||||
\(761\) | 1.34811e8 | 0.305895 | 0.152948 | − | 0.988234i | \(-0.451123\pi\) | ||||
0.152948 | + | 0.988234i | \(0.451123\pi\) | |||||||
\(762\) | −1.61994e8 | − | 2.34038e8i | −0.366129 | − | 0.528958i | ||||
\(763\) | 3.82685e8 | − | 6.74776e7i | 0.861524 | − | 0.151910i | ||||
\(764\) | 5.28670e8 | + | 1.98929e8i | 1.18551 | + | 0.446084i | ||||
\(765\) | −73315.8 | + | 61519.2i | −0.000163762 | + | 0.000137413i | ||||
\(766\) | 2.21257e8 | + | 2.23666e8i | 0.492279 | + | 0.497639i | ||||
\(767\) | 3.10515e7 | + | 1.79276e7i | 0.0688172 | + | 0.0397316i | ||||
\(768\) | −1.35560e8 | − | 4.29457e8i | −0.299259 | − | 0.948060i | ||||
\(769\) | −7.64338e8 | + | 2.78196e8i | −1.68076 | + | 0.611748i | −0.993414 | − | 0.114580i | \(-0.963448\pi\) |
−0.687348 | + | 0.726328i | \(0.741225\pi\) | |||||||
\(770\) | −1.93140e7 | − | 5.28739e6i | −0.0423057 | − | 0.0115816i | ||||
\(771\) | 5.37920e8 | − | 3.10568e8i | 1.17369 | − | 0.677632i | ||||
\(772\) | 4.75910e8 | + | 8.92394e7i | 1.03436 | + | 0.193957i | ||||
\(773\) | −8.85497e7 | + | 5.02190e8i | −0.191712 | + | 1.08725i | 0.725312 | + | 0.688420i | \(0.241695\pi\) |
−0.917024 | + | 0.398832i | \(0.869416\pi\) | |||||||
\(774\) | −255520. | − | 3.11474e6i | −0.000551065 | − | 0.00671736i | ||||
\(775\) | 1.23300e8 | − | 1.46943e8i | 0.264886 | − | 0.315678i | ||||
\(776\) | −5.95598e8 | − | 6.18702e7i | −1.27458 | − | 0.132403i | ||||
\(777\) | 1.26805e8 | + | 4.61532e7i | 0.270317 | + | 0.0983873i | ||||
\(778\) | 1.36265e8 | + | 9.65176e7i | 0.289365 | + | 0.204959i | ||||
\(779\) | −4.03296e7 | + | 1.47306e8i | −0.0853123 | + | 0.311607i | ||||
\(780\) | 1.50280e7 | − | 5.28617e6i | 0.0316677 | − | 0.0111393i | ||||
\(781\) | 4.91584e7 | + | 1.78922e7i | 0.103192 | + | 0.0375587i | ||||
\(782\) | −9.05413e6 | − | 4.28184e6i | −0.0189333 | − | 0.00895385i | ||||
\(783\) | −4.41092e8 | + | 5.25673e8i | −0.918849 | + | 1.09504i | ||||
\(784\) | −7.21997e7 | + | 3.63279e8i | −0.149826 | + | 0.753862i | ||||
\(785\) | 2.36709e6 | − | 1.34244e7i | 0.00489334 | − | 0.0277515i | ||||
\(786\) | −2.92018e8 | + | 1.34251e8i | −0.601371 | + | 0.276470i | ||||
\(787\) | −4.76572e7 | + | 2.75149e7i | −0.0977697 | + | 0.0564473i | −0.548088 | − | 0.836421i | \(-0.684644\pi\) |
0.450318 | + | 0.892868i | \(0.351311\pi\) | |||||||
\(788\) | 3.69185e8 | + | 4.49780e8i | 0.754512 | + | 0.919224i | ||||
\(789\) | −4.99068e8 | + | 1.81646e8i | −1.01608 | + | 0.369824i | ||||
\(790\) | −1.79183e6 | − | 166545.i | −0.00363426 | − | 0.000337792i | ||||
\(791\) | −2.82579e8 | − | 1.63147e8i | −0.570966 | − | 0.329647i | ||||
\(792\) | −3.49109e6 | + | 7.17986e6i | −0.00702725 | + | 0.0144524i | ||||
\(793\) | 2.08925e7 | − | 1.75309e7i | 0.0418958 | − | 0.0351547i | ||||
\(794\) | 1.44825e8 | + | 5.52442e8i | 0.289323 | + | 1.10363i | ||||
\(795\) | 3.26792e7 | − | 5.76222e6i | 0.0650384 | − | 0.0114680i | ||||
\(796\) | −2.56980e8 | − | 2.78260e6i | −0.509518 | − | 0.00551711i | ||||
\(797\) | −7.61962e8 | −1.50507 | −0.752537 | − | 0.658549i | \(-0.771170\pi\) | ||||
−0.752537 | + | 0.658549i | \(0.771170\pi\) | |||||||
\(798\) | 4.47939e7 | − | 2.38858e8i | 0.0881476 | − | 0.470036i | ||||
\(799\) | − | 2.06446e8i | − | 0.404732i | ||||||
\(800\) | −4.88651e8 | − | 1.45218e8i | −0.954396 | − | 0.283628i | ||||
\(801\) | −2.01398e6 | − | 1.14218e7i | −0.00391884 | − | 0.0222248i | ||||
\(802\) | −8.95526e7 | − | 3.41602e8i | −0.173602 | − | 0.662212i | ||||
\(803\) | −3.16256e8 | − | 3.76899e8i | −0.610791 | − | 0.727912i | ||||
\(804\) | −2.97149e8 | + | 4.90842e7i | −0.571750 | + | 0.0944437i | ||||
\(805\) | 621851. | − | 1.07708e6i | 0.00119206 | − | 0.00206471i | ||||
\(806\) | −1.10457e8 | − | 1.02666e7i | −0.210954 | − | 0.0196074i | ||||
\(807\) | −2.22848e8 | − | 6.12271e8i | −0.424022 | − | 1.16499i | ||||
\(808\) | −1.39579e7 | − | 1.96191e8i | −0.0264598 | − | 0.371915i | ||||
\(809\) | 2.37501e8 | + | 4.11363e8i | 0.448559 | + | 0.776926i | 0.998292 | − | 0.0584135i | \(-0.0186042\pi\) |
−0.549734 | + | 0.835340i | \(0.685271\pi\) | |||||||
\(810\) | 3.14773e7 | − | 1.44712e7i | 0.0592301 | − | 0.0272301i | ||||
\(811\) | −9.81036e7 | − | 1.72983e7i | −0.183917 | − | 0.0324296i | 0.0809309 | − | 0.996720i | \(-0.474211\pi\) |
−0.264848 | + | 0.964290i | \(0.585322\pi\) | |||||||
\(812\) | 1.86446e8 | − | 3.15008e8i | 0.348246 | − | 0.588374i | ||||
\(813\) | −9.19993e7 | − | 7.71965e7i | −0.171204 | − | 0.143657i | ||||
\(814\) | 4.05411e8 | + | 1.91725e8i | 0.751661 | + | 0.355472i | ||||
\(815\) | −3.20278e6 | + | 8.79956e6i | −0.00591635 | + | 0.0162550i | ||||
\(816\) | 9.42667e7 | + | 1.17415e8i | 0.173495 | + | 0.216099i | ||||
\(817\) | 8.01658e7 | + | 3.05820e8i | 0.147002 | + | 0.560790i | ||||
\(818\) | −1.76988e8 | − | 1.25362e8i | −0.323359 | − | 0.229037i | ||||
\(819\) | 537866. | − | 1.47777e6i | 0.000979089 | − | 0.00269003i | ||||
\(820\) | 1.02394e7 | − | 5.76478e6i | 0.0185708 | − | 0.0104554i | ||||
\(821\) | −7.05432e8 | − | 5.91928e8i | −1.27475 | − | 1.06964i | −0.993945 | − | 0.109879i | \(-0.964954\pi\) |
−0.280807 | − | 0.959764i | \(-0.590602\pi\) | |||||||
\(822\) | 1.52144e7 | + | 1.85461e8i | 0.0273931 | + | 0.333915i | ||||
\(823\) | −6.87120e7 | − | 1.21158e7i | −0.123263 | − | 0.0217346i | 0.111676 | − | 0.993745i | \(-0.464378\pi\) |
−0.234939 | + | 0.972010i | \(0.575489\pi\) | |||||||
\(824\) | −7.27728e8 | + | 7.04465e8i | −1.30073 | + | 1.25915i | ||||
\(825\) | −3.84148e8 | − | 6.65363e8i | −0.684126 | − | 1.18494i | ||||
\(826\) | −4.05900e7 | − | 1.11119e7i | −0.0720243 | − | 0.0197174i | ||||
\(827\) | −1.19790e8 | − | 3.29119e8i | −0.211789 | − | 0.581885i | 0.787624 | − | 0.616156i | \(-0.211311\pi\) |
−0.999413 | + | 0.0342716i | \(0.989089\pi\) | |||||||
\(828\) | −376371. | − | 322821.i | −0.000663018 | − | 0.000568684i | ||||
\(829\) | −2.52779e8 | + | 4.37825e8i | −0.443687 | + | 0.768489i | −0.997960 | − | 0.0638466i | \(-0.979663\pi\) |
0.554273 | + | 0.832335i | \(0.312996\pi\) | |||||||
\(830\) | −2.11347e7 | − | 2.13647e7i | −0.0369625 | − | 0.0373649i | ||||
\(831\) | −2.14887e8 | − | 2.56092e8i | −0.374461 | − | 0.446265i | ||||
\(832\) | 9.17802e7 | + | 2.80158e8i | 0.159360 | + | 0.486445i | ||||
\(833\) | −2.15044e7 | − | 1.21958e8i | −0.0372042 | − | 0.210996i | ||||
\(834\) | 3.23192e8 | + | 4.66926e8i | 0.557137 | + | 0.804914i | ||||
\(835\) | 3.30811e7i | 0.0568226i | ||||||||
\(836\) | 2.21691e8 | − | 7.76619e8i | 0.379427 | − | 1.32920i | ||||
\(837\) | −2.44085e8 | −0.416261 | ||||||||
\(838\) | −4.50312e8 | + | 3.11692e8i | −0.765211 | + | 0.529656i | ||||
\(839\) | 5.30520e8 | − | 9.35449e7i | 0.898288 | − | 0.158392i | 0.294607 | − | 0.955618i | \(-0.404811\pi\) |
0.603681 | + | 0.797226i | \(0.293700\pi\) | |||||||
\(840\) | −1.54885e7 | + | 1.04745e7i | −0.0261320 | + | 0.0176723i | ||||
\(841\) | 4.64860e8 | − | 3.90064e8i | 0.781510 | − | 0.655764i | ||||
\(842\) | 6.12652e8 | − | 6.06054e8i | 1.02631 | − | 1.01526i | ||||
\(843\) | −9.53401e8 | − | 5.50446e8i | −1.59145 | − | 0.918824i | ||||
\(844\) | 7.24091e8 | + | 6.21068e8i | 1.20439 | + | 1.03303i | ||||
\(845\) | 2.76004e7 | − | 1.00457e7i | 0.0457451 | − | 0.0166499i | ||||
\(846\) | 2.69874e6 | − | 9.85805e6i | 0.00445708 | − | 0.0162810i | ||||
\(847\) | 2.30540e8 | − | 1.33102e8i | 0.379399 | − | 0.219046i | ||||
\(848\) | 9.35146e7 | + | 6.06923e8i | 0.153353 | + | 0.995282i | ||||
\(849\) | 5.24336e7 | − | 2.97366e8i | 0.0856814 | − | 0.485923i | ||||
\(850\) | 1.69873e8 | − | 1.39357e7i | 0.276610 | − | 0.0226920i | ||||
\(851\) | −1.79037e7 | + | 2.13368e7i | −0.0290506 | + | 0.0346211i | ||||
\(852\) | 4.25648e7 | − | 2.39641e7i | 0.0688227 | − | 0.0387473i | ||||
\(853\) | −3.48237e8 | − | 1.26748e8i | −0.561085 | − | 0.204218i | 0.0458801 | − | 0.998947i | \(-0.485391\pi\) |
−0.606965 | + | 0.794729i | \(0.707613\pi\) | |||||||
\(854\) | −1.85023e7 | + | 2.61219e7i | −0.0297065 | + | 0.0419402i | ||||
\(855\) | 394136. | − | 272798.i | 0.000630591 | − | 0.000436458i | ||||
\(856\) | −5.73607e8 | − | 1.63727e8i | −0.914520 | − | 0.261035i | ||||
\(857\) | 5.06064e8 | + | 1.84192e8i | 0.804012 | + | 0.292636i | 0.711148 | − | 0.703042i | \(-0.248176\pi\) |
0.0928641 | + | 0.995679i | \(0.470398\pi\) | |||||||
\(858\) | −1.89954e8 | + | 4.01665e8i | −0.300736 | + | 0.635920i | ||||
\(859\) | −5.68846e8 | + | 6.77924e8i | −0.897460 | + | 1.06955i | 0.0997578 | + | 0.995012i | \(0.468193\pi\) |
−0.997218 | + | 0.0745397i | \(0.976251\pi\) | |||||||
\(860\) | 1.23896e7 | − | 2.09327e7i | 0.0194788 | − | 0.0329101i | ||||
\(861\) | −1.71245e7 | + | 9.71181e7i | −0.0268293 | + | 0.152157i | ||||
\(862\) | 2.69853e8 | + | 5.86978e8i | 0.421314 | + | 0.916432i | ||||
\(863\) | 6.70882e8 | − | 3.87334e8i | 1.04379 | − | 0.602633i | 0.122886 | − | 0.992421i | \(-0.460785\pi\) |
0.920905 | + | 0.389788i | \(0.127452\pi\) | |||||||
\(864\) | 2.58126e8 | + | 5.95096e8i | 0.400213 | + | 0.922669i | ||||
\(865\) | −1.41209e7 | + | 5.13957e6i | −0.0218179 | + | 0.00794106i | ||||
\(866\) | −4.02390e7 | + | 4.32926e8i | −0.0619574 | + | 0.666592i | ||||
\(867\) | 5.17511e8 | + | 2.98785e8i | 0.794076 | + | 0.458460i | ||||
\(868\) | 1.28462e8 | − | 2.12198e7i | 0.196433 | − | 0.0324475i | ||||
\(869\) | 3.84486e7 | − | 3.22622e7i | 0.0585897 | − | 0.0491626i | ||||
\(870\) | −5.93742e7 | + | 1.55652e7i | −0.0901654 | + | 0.0236373i | ||||
\(871\) | 1.94164e8 | − | 3.42363e7i | 0.293842 | − | 0.0518122i | ||||
\(872\) | 7.07592e8 | − | 9.76403e8i | 1.06717 | − | 1.47258i | ||||
\(873\) | 9.91210e6 | 0.0148978 | ||||||||
\(874\) | 4.31665e7 | + | 2.55505e7i | 0.0646566 | + | 0.0382706i | ||||
\(875\) | 4.24229e7i | 0.0633252i | ||||||||
\(876\) | −4.59381e8 | − | 4.97422e6i | −0.683377 | − | 0.00739967i | ||||
\(877\) | −4.67040e7 | − | 2.64872e8i | −0.0692398 | − | 0.392678i | −0.999657 | − | 0.0261770i | \(-0.991667\pi\) |
0.930418 | − | 0.366501i | \(-0.119444\pi\) | |||||||
\(878\) | 9.16251e7 | − | 2.40200e7i | 0.135373 | − | 0.0354886i | ||||
\(879\) | 1.31970e8 | + | 1.57276e8i | 0.194317 | + | 0.231578i | ||||
\(880\) | −5.44741e7 | + | 2.98969e7i | −0.0799359 | + | 0.0438711i | ||||
\(881\) | 7.79019e7 | − | 1.34930e8i | 0.113925 | − | 0.197324i | −0.803424 | − | 0.595407i | \(-0.796991\pi\) |
0.917350 | + | 0.398082i | \(0.130324\pi\) | |||||||
\(882\) | 567413. | − | 6.10472e6i | 0.000826977 | − | 0.00889734i | ||||
\(883\) | −3.71721e8 | − | 1.02130e9i | −0.539927 | − | 1.48344i | −0.846917 | − | 0.531725i | \(-0.821544\pi\) |
0.306990 | − | 0.951713i | \(-0.400678\pi\) | |||||||
\(884\) | −6.25384e7 | − | 7.61908e7i | −0.0905295 | − | 0.110292i | ||||
\(885\) | 3.52836e6 | + | 6.11130e6i | 0.00509030 | + | 0.00881665i | ||||
\(886\) | −4.36813e8 | − | 9.50144e8i | −0.628050 | − | 1.36612i | ||||
\(887\) | −1.69173e7 | − | 2.98298e6i | −0.0242416 | − | 0.00427444i | 0.161514 | − | 0.986870i | \(-0.448362\pi\) |
−0.185756 | + | 0.982596i | \(0.559473\pi\) | |||||||
\(888\) | 3.82337e8 | − | 1.70783e8i | 0.546018 | − | 0.243896i | ||||
\(889\) | −1.67531e8 | − | 1.40575e8i | −0.238446 | − | 0.200080i | ||||
\(890\) | 3.85926e7 | − | 8.16058e7i | 0.0547437 | − | 0.115758i | ||||
\(891\) | −3.30481e8 | + | 9.07989e8i | −0.467211 | + | 1.28365i | ||||
\(892\) | 8.57212e8 | − | 3.01529e8i | 1.20780 | − | 0.424849i | ||||
\(893\) | −9.57110e7 | + | 1.02952e9i | −0.134402 | + | 1.44571i | ||||
\(894\) | −3.16121e7 | + | 4.46305e7i | −0.0442426 | + | 0.0624625i | ||||
\(895\) | −1.22602e6 | + | 3.36845e6i | −0.00171012 | + | 0.00469852i | ||||
\(896\) | −1.87587e8 | − | 2.90758e8i | −0.260782 | − | 0.404211i | ||||
\(897\) | −2.11397e7 | − | 1.77383e7i | −0.0292901 | − | 0.0245774i | ||||
\(898\) | 5.26254e7 | − | 4.31717e6i | 0.0726719 | − | 0.00596171i | ||||
\(899\) | 4.20931e8 | + | 7.42215e7i | 0.579338 | + | 0.102153i | ||||
\(900\) | 8.29380e6 | + | 1.55520e6i | 0.0113770 | + | 0.00213333i | ||||
\(901\) | −1.02661e8 | − | 1.77813e8i | −0.140356 | − | 0.243103i | ||||
\(902\) | −8.65365e7 | + | 3.16103e8i | −0.117918 | + | 0.430734i | ||||
\(903\) | 6.98204e7 | + | 1.91830e8i | 0.0948242 | + | 0.260527i | ||||
\(904\) | −9.82159e8 | + | 2.46144e8i | −1.32946 | + | 0.333184i | ||||
\(905\) | 2.30029e7 | − | 3.98421e7i | 0.0310339 | − | 0.0537522i | ||||
\(906\) | 9.14036e6 | − | 9.04192e6i | 0.0122908 | − | 0.0121584i | ||||
\(907\) | −1.20372e8 | − | 1.43454e8i | −0.161326 | − | 0.192261i | 0.679326 | − | 0.733837i | \(-0.262272\pi\) |
−0.840652 | + | 0.541576i | \(0.817828\pi\) | |||||||
\(908\) | 7.05344e8 | + | 2.65408e8i | 0.942201 | + | 0.354532i | ||||
\(909\) | 565362. | + | 3.20632e6i | 0.000752722 | + | 0.00426890i | ||||
\(910\) | 1.00644e7 | − | 6.96628e6i | 0.0133556 | − | 0.00924436i | ||||
\(911\) | 2.58714e8i | 0.342188i | 0.985255 | + | 0.171094i | \(0.0547302\pi\) | ||||
−0.985255 | + | 0.171094i | \(0.945270\pi\) | |||||||
\(912\) | −4.15659e8 | − | 6.29235e8i | −0.547965 | − | 0.829523i | ||||
\(913\) | 8.38177e8 | 1.10134 | ||||||||
\(914\) | −435535. | − | 629232.i | −0.000570407 | − | 0.000824085i | ||||
\(915\) | 5.28613e6 | − | 932087.i | 0.00690040 | − | 0.00121673i | ||||
\(916\) | 3.83040e8 | − | 1.01796e9i | 0.498377 | − | 1.32448i | ||||
\(917\) | −1.89171e8 | + | 1.58734e8i | −0.245328 | + | 0.205855i | ||||
\(918\) | −1.52527e8 | − | 1.54188e8i | −0.197161 | − | 0.199307i | ||||
\(919\) | 5.95937e8 | + | 3.44064e8i | 0.767810 | + | 0.443295i | 0.832093 | − | 0.554636i | \(-0.187143\pi\) |
−0.0642827 | + | 0.997932i | \(0.520476\pi\) | |||||||
\(920\) | −938203. | − | 3.74360e6i | −0.00120485 | − | 0.00480757i | ||||
\(921\) | 6.09041e8 | − | 2.21673e8i | 0.779593 | − | 0.283749i | ||||
\(922\) | −4.00989e8 | − | 1.09775e8i | −0.511611 | − | 0.140059i | ||||
\(923\) | −2.76927e7 | + | 1.59884e7i | −0.0352176 | + | 0.0203329i | ||||
\(924\) | 9.61125e7 | − | 5.12564e8i | 0.121833 | − | 0.649729i | ||||
\(925\) | 8.23099e7 | − | 4.66803e8i | 0.103999 | − | 0.589805i | ||||
\(926\) | 1.12196e8 | + | 1.36765e9i | 0.141301 | + | 1.72243i | ||||
\(927\) | 1.07769e7 | − | 1.28434e7i | 0.0135286 | − | 0.0161228i | ||||
\(928\) | −2.64188e8 | − | 1.10475e9i | −0.330575 | − | 1.38236i | ||||
\(929\) | 5.52110e8 | + | 2.00952e8i | 0.688618 | + | 0.250637i | 0.662544 | − | 0.749023i | \(-0.269477\pi\) |
0.0260749 | + | 0.999660i | \(0.491699\pi\) | |||||||
\(930\) | −1.78164e7 | − | 1.26195e7i | −0.0221498 | − | 0.0156889i | ||||
\(931\) | 5.06985e7 | + | 6.18155e8i | 0.0628269 | + | 0.766034i | ||||
\(932\) | −3.75176e8 | − | 1.06658e9i | −0.463434 | − | 1.31749i | ||||
\(933\) | 7.13795e8 | + | 2.59800e8i | 0.878878 | + | 0.319885i | ||||
\(934\) | −1.24375e9 | − | 5.88190e8i | −1.52649 | − | 0.721900i | ||||
\(935\) | 1.33548e7 | − | 1.59156e7i | 0.0163381 | − | 0.0194710i | ||||
\(936\) | −1.99029e6 | − | 4.45572e6i | −0.00242710 | − | 0.00543363i | ||||
\(937\) | −7.97381e7 | + | 4.52217e8i | −0.0969275 | + | 0.549703i | 0.897212 | + | 0.441600i | \(0.145589\pi\) |
−0.994140 | + | 0.108103i | \(0.965522\pi\) | |||||||
\(938\) | −2.10252e8 | + | 9.66598e7i | −0.254760 | + | 0.117122i | ||||
\(939\) | −6.28226e8 | + | 3.62707e8i | −0.758786 | + | 0.438085i | ||||
\(940\) | 6.14901e7 | − | 5.04719e7i | 0.0740324 | − | 0.0607668i | ||||
\(941\) | −2.54955e8 | + | 9.27961e7i | −0.305981 | + | 0.111368i | −0.490447 | − | 0.871471i | \(-0.663167\pi\) |
0.184466 | + | 0.982839i | \(0.440944\pi\) | |||||||
\(942\) | 3.53480e8 | + | 3.28547e7i | 0.422875 | + | 0.0393048i | ||||
\(943\) | −1.76281e7 | − | 1.01776e7i | −0.0210218 | − | 0.0121369i | ||||
\(944\) | −1.14482e8 | + | 6.28311e7i | −0.136089 | + | 0.0746893i | ||||
\(945\) | 2.06311e7 | − | 1.73115e7i | 0.0244471 | − | 0.0205135i | ||||
\(946\) | 1.72040e8 | + | 6.56253e8i | 0.203215 | + | 0.775171i | ||||
\(947\) | 1.71166e8 | − | 3.01812e7i | 0.201543 | − | 0.0355375i | −0.0719651 | − | 0.997407i | \(-0.522927\pi\) |
0.273508 | + | 0.961870i | \(0.411816\pi\) | |||||||
\(948\) | 507434. | − | 4.68628e7i | 0.000595600 | − | 0.0550051i | ||||
\(949\) | 3.00742e8 | 0.351881 | ||||||||
\(950\) | −8.53594e8 | − | 9.25982e6i | −0.995590 | − | 0.0108002i | ||||
\(951\) | 7.58351e8i | 0.881716i | ||||||||
\(952\) | 9.36795e7 | + | 6.78889e7i | 0.108576 | + | 0.0786842i | ||||
\(953\) | 1.83806e8 | + | 1.04241e9i | 0.212364 | + | 1.20437i | 0.885423 | + | 0.464786i | \(0.153869\pi\) |
−0.673060 | + | 0.739588i | \(0.735020\pi\) | |||||||
\(954\) | −2.57772e6 | − | 9.83280e6i | −0.00296886 | − | 0.0113248i | ||||
\(955\) | −4.67792e7 | − | 5.57493e7i | −0.0537085 | − | 0.0640073i | ||||
\(956\) | −1.69746e8 | − | 1.02762e9i | −0.194279 | − | 1.17614i | ||||
\(957\) | 8.55977e8 | − | 1.48260e9i | 0.976621 | − | 1.69156i | ||||
\(958\) | 3.12293e8 | + | 2.90266e7i | 0.355194 | + | 0.0330141i | ||||
\(959\) | 4.89008e7 | + | 1.34354e8i | 0.0554447 | + | 0.152333i | ||||
\(960\) | −1.19258e7 | + | 5.67829e7i | −0.0134795 | + | 0.0641806i | ||||
\(961\) | −3.67735e8 | − | 6.36936e8i | −0.414348 | − | 0.717671i | ||||
\(962\) | −2.49064e8 | + | 1.14503e8i | −0.279760 | + | 0.128615i | ||||
\(963\) | 9.72423e6 | + | 1.71464e6i | 0.0108887 | + | 0.00191997i | ||||
\(964\) | −4.52747e8 | − | 2.67971e8i | −0.505387 | − | 0.299128i | ||||
\(965\) | −4.77892e7 | − | 4.00999e7i | −0.0531799 | − | 0.0446233i | ||||
\(966\) | 2.92803e7 | + | 1.38471e7i | 0.0324821 | + | 0.0153613i | ||||
\(967\) | 1.40323e8 | − | 3.85534e8i | 0.155185 | − | 0.426367i | −0.837599 | − | 0.546286i | \(-0.816041\pi\) |
0.992784 | + | 0.119919i | \(0.0382635\pi\) | |||||||
\(968\) | 2.26733e8 | − | 7.94342e8i | 0.249970 | − | 0.875753i | ||||
\(969\) | 2.05756e8 | + | 1.45745e8i | 0.226142 | + | 0.160185i | ||||
\(970\) | 6.29563e7 | + | 4.45923e7i | 0.0689801 | + | 0.0488591i | ||||
\(971\) | 1.91728e8 | − | 5.26768e8i | 0.209424 | − | 0.575389i | −0.789857 | − | 0.613291i | \(-0.789845\pi\) |
0.999281 | + | 0.0379020i | \(0.0120675\pi\) | |||||||
\(972\) | −1.04750e7 | − | 1.86056e7i | −0.0114065 | − | 0.0202602i | ||||
\(973\) | 3.34238e8 | + | 2.80459e8i | 0.362842 | + | 0.304460i | ||||
\(974\) | 1.35931e8 | + | 1.65697e9i | 0.147110 | + | 1.79324i | ||||
\(975\) | 4.62490e8 | + | 8.15495e7i | 0.498986 | + | 0.0879848i | ||||
\(976\) | 1.51268e7 | + | 9.81749e7i | 0.0162703 | + | 0.105597i | ||||
\(977\) | −1.60248e8 | − | 2.77557e8i | −0.171834 | − | 0.297625i | 0.767227 | − | 0.641375i | \(-0.221636\pi\) |
−0.939061 | + | 0.343751i | \(0.888302\pi\) | |||||||
\(978\) | −2.35218e8 | − | 6.43932e7i | −0.251451 | − | 0.0688373i | ||||
\(979\) | 8.61117e8 | + | 2.36590e9i | 0.917729 | + | 2.52144i | ||||
\(980\) | 3.10677e7 | − | 3.62212e7i | 0.0330089 | − | 0.0384844i | ||||
\(981\) | −9.98024e6 | + | 1.72863e7i | −0.0105714 | + | 0.0183103i | ||||
\(982\) | −3.77537e8 | − | 3.81647e8i | −0.398681 | − | 0.403021i | ||||
\(983\) | −8.26854e8 | − | 9.85406e8i | −0.870499 | − | 1.03742i | −0.998955 | − | 0.0457048i | \(-0.985447\pi\) |
0.128456 | − | 0.991715i | \(-0.458998\pi\) | |||||||
\(984\) | 1.71431e8 | + | 2.53494e8i | 0.179930 | + | 0.266062i | ||||
\(985\) | −1.30185e7 | − | 7.38314e7i | −0.0136223 | − | 0.0772561i | ||||
\(986\) | 2.16152e8 | + | 3.12282e8i | 0.225491 | + | 0.325773i | ||||
\(987\) | 6.67631e8i | 0.694361i | ||||||||
\(988\) | 2.76547e8 | + | 4.08946e8i | 0.286747 | + | 0.424029i | ||||
\(989\) | −4.21363e7 | −0.0435580 | ||||||||
\(990\) | 845760. | − | 585410.i | 0.000871649 | − | 0.000603329i | ||||
\(991\) | 5.20626e8 | − | 9.18004e7i | 0.534940 | − | 0.0943243i | 0.100349 | − | 0.994952i | \(-0.468004\pi\) |
0.434591 | + | 0.900628i | \(0.356893\pi\) | |||||||
\(992\) | 2.40618e8 | − | 3.24573e8i | 0.246487 | − | 0.332489i | ||||
\(993\) | −5.32167e8 | + | 4.46541e8i | −0.543501 | + | 0.456051i | ||||
\(994\) | 2.66820e7 | − | 2.63946e7i | 0.0271681 | − | 0.0268755i | ||||
\(995\) | 2.86749e7 | + | 1.65554e7i | 0.0291093 | + | 0.0168063i | ||||
\(996\) | 5.09533e8 | − | 5.94055e8i | 0.515697 | − | 0.601241i | ||||
\(997\) | 8.20330e8 | − | 2.98576e8i | 0.827758 | − | 0.301279i | 0.106820 | − | 0.994278i | \(-0.465933\pi\) |
0.720938 | + | 0.692999i | \(0.243711\pi\) | |||||||
\(998\) | −5.20306e7 | + | 1.90059e8i | −0.0523440 | + | 0.191204i | ||||
\(999\) | −5.22346e8 | + | 3.01577e8i | −0.523916 | + | 0.302483i |
(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 | 76.7.l.a.23.18 | yes | 348 | |
4.3 | odd | 2 | inner | 76.7.l.a.23.6 | ✓ | 348 | |
19.5 | even | 9 | inner | 76.7.l.a.43.6 | yes | 348 | |
76.43 | odd | 18 | inner | 76.7.l.a.43.18 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.7.l.a.23.6 | ✓ | 348 | 4.3 | odd | 2 | inner | |
76.7.l.a.23.18 | yes | 348 | 1.1 | even | 1 | trivial | |
76.7.l.a.43.6 | yes | 348 | 19.5 | even | 9 | inner | |
76.7.l.a.43.18 | yes | 348 | 76.43 | odd | 18 | inner |