Properties

Label 43.7.h.a.3.6
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.6
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.91348 + 6.04990i) q^{2} +(50.5591 + 3.78888i) q^{3} +(11.7904 + 14.7847i) q^{4} +(-30.3679 + 98.4503i) q^{5} +(-170.225 + 294.839i) q^{6} +(-190.382 + 109.917i) q^{7} +(-542.775 + 123.885i) q^{8} +(1821.01 + 274.473i) q^{9} +O(q^{10})\) \(q+(-2.91348 + 6.04990i) q^{2} +(50.5591 + 3.78888i) q^{3} +(11.7904 + 14.7847i) q^{4} +(-30.3679 + 98.4503i) q^{5} +(-170.225 + 294.839i) q^{6} +(-190.382 + 109.917i) q^{7} +(-542.775 + 123.885i) q^{8} +(1821.01 + 274.473i) q^{9} +(-507.139 - 470.556i) q^{10} +(1130.33 - 1417.39i) q^{11} +(540.094 + 792.172i) q^{12} +(-1204.27 + 1117.40i) q^{13} +(-110.314 - 1472.04i) q^{14} +(-1908.39 + 4862.50i) q^{15} +(562.564 - 2464.76i) q^{16} +(-212.548 + 65.5624i) q^{17} +(-6966.00 + 10217.3i) q^{18} +(-1013.49 - 6724.09i) q^{19} +(-1813.61 + 711.788i) q^{20} +(-10042.0 + 4835.98i) q^{21} +(5281.88 + 10967.9i) q^{22} +(4626.66 + 11788.5i) q^{23} +(-27911.6 + 4206.99i) q^{24} +(4139.72 + 2822.41i) q^{25} +(-3251.54 - 10541.2i) q^{26} +(54994.3 + 12552.1i) q^{27} +(-3869.77 - 1518.77i) q^{28} +(-26241.4 + 1966.52i) q^{29} +(-23857.6 - 25712.4i) q^{30} +(34265.6 - 23361.9i) q^{31} +(-14584.9 - 11631.0i) q^{32} +(62518.9 - 67379.3i) q^{33} +(222.609 - 1476.91i) q^{34} +(-5039.88 - 22081.2i) q^{35} +(17412.4 + 30159.1i) q^{36} +(37412.2 + 21599.9i) q^{37} +(43632.9 + 13459.0i) q^{38} +(-65120.5 + 51931.9i) q^{39} +(4286.43 - 57198.5i) q^{40} +(-17925.4 - 8632.41i) q^{41} -74842.8i q^{42} +(59781.5 - 52416.9i) q^{43} +34282.7 q^{44} +(-82322.2 + 170944. i) q^{45} +(-84799.2 - 6354.82i) q^{46} +(-44973.8 - 56395.4i) q^{47} +(37781.4 - 122484. i) q^{48} +(-34660.9 + 60034.4i) q^{49} +(-29136.3 + 16821.9i) q^{50} +(-10994.7 + 2509.46i) q^{51} +(-30719.2 - 4630.17i) q^{52} +(116340. + 107948. i) q^{53} +(-236164. + 296140. i) q^{54} +(105217. + 154325. i) q^{55} +(89717.7 - 83245.9i) q^{56} +(-25764.5 - 343804. i) q^{57} +(64556.4 - 164487. i) q^{58} +(64440.7 - 282333. i) q^{59} +(-94391.1 + 29115.8i) q^{60} +(154232. - 226217. i) q^{61} +(41505.0 + 275368. i) q^{62} +(-376857. + 147906. i) q^{63} +(258637. - 124553. i) q^{64} +(-73437.2 - 152494. i) q^{65} +(225491. + 574542. i) q^{66} +(60589.7 - 9132.42i) q^{67} +(-3475.34 - 2369.45i) q^{68} +(189254. + 613547. i) q^{69} +(148273. + 33842.2i) q^{70} +(-396368. - 155563. i) q^{71} +(-1.02240e6 + 76618.3i) q^{72} +(455609. + 491030. i) q^{73} +(-239677. + 163409. i) q^{74} +(198607. + 158384. i) q^{75} +(87464.0 - 94263.7i) q^{76} +(-59399.5 + 394090. i) q^{77} +(-124455. - 545275. i) q^{78} +(-473736. - 820534. i) q^{79} +(225572. + 130234. i) q^{80} +(1.45004e6 + 447278. i) q^{81} +(104451. - 83296.5i) q^{82} +(36310.8 - 484534. i) q^{83} +(-189898. - 91449.9i) q^{84} -22916.4i q^{85} +(142945. + 514388. i) q^{86} -1.33419e6 q^{87} +(-437923. + 909355. i) q^{88} +(-863683. - 64724.1i) q^{89} +(-794349. - 996082. i) q^{90} +(106450. - 345103. i) q^{91} +(-119740. + 207395. i) q^{92} +(1.82095e6 - 1.05133e6i) q^{93} +(472217. - 107780. i) q^{94} +(692766. + 104418. i) q^{95} +(-693329. - 643315. i) q^{96} +(559757. - 701913. i) q^{97} +(-262218. - 384604. i) q^{98} +(2.44738e6 - 2.27084e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.91348 + 6.04990i −0.364185 + 0.756238i −0.999877 0.0157051i \(-0.995001\pi\)
0.635692 + 0.771943i \(0.280715\pi\)
\(3\) 50.5591 + 3.78888i 1.87256 + 0.140329i 0.962000 0.273050i \(-0.0880325\pi\)
0.910559 + 0.413379i \(0.135652\pi\)
\(4\) 11.7904 + 14.7847i 0.184225 + 0.231010i
\(5\) −30.3679 + 98.4503i −0.242943 + 0.787603i 0.749183 + 0.662363i \(0.230446\pi\)
−0.992126 + 0.125240i \(0.960030\pi\)
\(6\) −170.225 + 294.839i −0.788080 + 1.36499i
\(7\) −190.382 + 109.917i −0.555051 + 0.320459i −0.751157 0.660124i \(-0.770504\pi\)
0.196106 + 0.980583i \(0.437170\pi\)
\(8\) −542.775 + 123.885i −1.06011 + 0.241963i
\(9\) 1821.01 + 274.473i 2.49795 + 0.376506i
\(10\) −507.139 470.556i −0.507139 0.470556i
\(11\) 1130.33 1417.39i 0.849235 1.06491i −0.147880 0.989005i \(-0.547245\pi\)
0.997115 0.0759021i \(-0.0241836\pi\)
\(12\) 540.094 + 792.172i 0.312554 + 0.458433i
\(13\) −1204.27 + 1117.40i −0.548143 + 0.508602i −0.904917 0.425588i \(-0.860067\pi\)
0.356774 + 0.934191i \(0.383877\pi\)
\(14\) −110.314 1472.04i −0.0402019 0.536457i
\(15\) −1908.39 + 4862.50i −0.565449 + 1.44074i
\(16\) 562.564 2464.76i 0.137345 0.601747i
\(17\) −212.548 + 65.5624i −0.0432624 + 0.0133447i −0.316311 0.948656i \(-0.602444\pi\)
0.273048 + 0.962000i \(0.411968\pi\)
\(18\) −6966.00 + 10217.3i −1.19445 + 1.75193i
\(19\) −1013.49 6724.09i −0.147761 0.980331i −0.932673 0.360723i \(-0.882530\pi\)
0.784912 0.619607i \(-0.212708\pi\)
\(20\) −1813.61 + 711.788i −0.226701 + 0.0889735i
\(21\) −10042.0 + 4835.98i −1.08433 + 0.522188i
\(22\) 5281.88 + 10967.9i 0.496045 + 1.03005i
\(23\) 4626.66 + 11788.5i 0.380263 + 0.968894i 0.985013 + 0.172479i \(0.0551777\pi\)
−0.604750 + 0.796415i \(0.706727\pi\)
\(24\) −27911.6 + 4206.99i −2.01907 + 0.304325i
\(25\) 4139.72 + 2822.41i 0.264942 + 0.180634i
\(26\) −3251.54 10541.2i −0.184999 0.599752i
\(27\) 54994.3 + 12552.1i 2.79400 + 0.637713i
\(28\) −3869.77 1518.77i −0.176283 0.0691861i
\(29\) −26241.4 + 1966.52i −1.07595 + 0.0806314i −0.600898 0.799326i \(-0.705190\pi\)
−0.475053 + 0.879957i \(0.657571\pi\)
\(30\) −23857.6 25712.4i −0.883615 0.952310i
\(31\) 34265.6 23361.9i 1.15020 0.784193i 0.170637 0.985334i \(-0.445417\pi\)
0.979562 + 0.201141i \(0.0644651\pi\)
\(32\) −14584.9 11631.0i −0.445095 0.354951i
\(33\) 62518.9 67379.3i 1.73968 1.87493i
\(34\) 222.609 1476.91i 0.00566376 0.0375766i
\(35\) −5039.88 22081.2i −0.117548 0.515013i
\(36\) 17412.4 + 30159.1i 0.373208 + 0.646415i
\(37\) 37412.2 + 21599.9i 0.738597 + 0.426429i 0.821559 0.570123i \(-0.193105\pi\)
−0.0829617 + 0.996553i \(0.526438\pi\)
\(38\) 43632.9 + 13459.0i 0.795176 + 0.245279i
\(39\) −65120.5 + 51931.9i −1.09780 + 0.875468i
\(40\) 4286.43 57198.5i 0.0669755 0.893726i
\(41\) −17925.4 8632.41i −0.260086 0.125251i 0.299297 0.954160i \(-0.403248\pi\)
−0.559383 + 0.828909i \(0.688962\pi\)
\(42\) 74842.8i 1.01019i
\(43\) 59781.5 52416.9i 0.751903 0.659274i
\(44\) 34282.7 0.402455
\(45\) −82322.2 + 170944.i −0.903398 + 1.87593i
\(46\) −84799.2 6354.82i −0.871200 0.0652875i
\(47\) −44973.8 56395.4i −0.433178 0.543188i 0.516553 0.856255i \(-0.327215\pi\)
−0.949731 + 0.313067i \(0.898643\pi\)
\(48\) 37781.4 122484.i 0.341629 1.10753i
\(49\) −34660.9 + 60034.4i −0.294612 + 0.510284i
\(50\) −29136.3 + 16821.9i −0.233091 + 0.134575i
\(51\) −10994.7 + 2509.46i −0.0828840 + 0.0189177i
\(52\) −30719.2 4630.17i −0.218474 0.0329297i
\(53\) 116340. + 107948.i 0.781454 + 0.725083i 0.966225 0.257698i \(-0.0829641\pi\)
−0.184772 + 0.982781i \(0.559155\pi\)
\(54\) −236164. + 296140.i −1.49980 + 1.88068i
\(55\) 105217. + 154325.i 0.632408 + 0.927572i
\(56\) 89717.7 83245.9i 0.510874 0.474022i
\(57\) −25764.5 343804.i −0.139123 1.85646i
\(58\) 64556.4 164487.i 0.330869 0.843040i
\(59\) 64440.7 282333.i 0.313765 1.37469i −0.534521 0.845155i \(-0.679508\pi\)
0.848286 0.529538i \(-0.177635\pi\)
\(60\) −94391.1 + 29115.8i −0.436996 + 0.134795i
\(61\) 154232. 226217.i 0.679493 0.996633i −0.319307 0.947651i \(-0.603450\pi\)
0.998800 0.0489816i \(-0.0155976\pi\)
\(62\) 41505.0 + 275368.i 0.174151 + 1.15542i
\(63\) −376857. + 147906.i −1.50715 + 0.591511i
\(64\) 258637. 124553.i 0.986622 0.475132i
\(65\) −73437.2 152494.i −0.267409 0.555280i
\(66\) 225491. + 574542.i 0.784327 + 1.99843i
\(67\) 60589.7 9132.42i 0.201453 0.0303642i −0.0475404 0.998869i \(-0.515138\pi\)
0.248994 + 0.968505i \(0.419900\pi\)
\(68\) −3475.34 2369.45i −0.0110528 0.00753565i
\(69\) 189254. + 613547.i 0.576101 + 1.86767i
\(70\) 148273. + 33842.2i 0.432282 + 0.0986654i
\(71\) −396368. 155563.i −1.10745 0.434641i −0.260048 0.965596i \(-0.583738\pi\)
−0.847400 + 0.530954i \(0.821834\pi\)
\(72\) −1.02240e6 + 76618.3i −2.73920 + 0.205275i
\(73\) 455609. + 491030.i 1.17118 + 1.26223i 0.958494 + 0.285112i \(0.0920307\pi\)
0.212686 + 0.977121i \(0.431779\pi\)
\(74\) −239677. + 163409.i −0.591468 + 0.403256i
\(75\) 198607. + 158384.i 0.470772 + 0.375428i
\(76\) 87464.0 94263.7i 0.199245 0.214735i
\(77\) −59399.5 + 394090.i −0.130110 + 0.863223i
\(78\) −124455. 545275.i −0.262259 1.14903i
\(79\) −473736. 820534.i −0.960848 1.66424i −0.720378 0.693582i \(-0.756031\pi\)
−0.240471 0.970656i \(-0.577302\pi\)
\(80\) 225572. + 130234.i 0.440570 + 0.254363i
\(81\) 1.45004e6 + 447278.i 2.72850 + 0.841632i
\(82\) 104451. 83296.5i 0.189439 0.151072i
\(83\) 36310.8 484534.i 0.0635041 0.847403i −0.870962 0.491351i \(-0.836503\pi\)
0.934466 0.356052i \(-0.115878\pi\)
\(84\) −189898. 91449.9i −0.320392 0.154293i
\(85\) 22916.4i 0.0373156i
\(86\) 142945. + 514388.i 0.224737 + 0.808715i
\(87\) −1.33419e6 −2.02610
\(88\) −437923. + 909355.i −0.642613 + 1.33440i
\(89\) −863683. 64724.1i −1.22514 0.0918113i −0.553600 0.832783i \(-0.686746\pi\)
−0.671537 + 0.740971i \(0.734365\pi\)
\(90\) −794349. 996082.i −1.08964 1.36637i
\(91\) 106450. 345103.i 0.141261 0.457957i
\(92\) −119740. + 207395.i −0.153771 + 0.266339i
\(93\) 1.82095e6 1.05133e6i 2.26386 1.30704i
\(94\) 472217. 107780.i 0.568536 0.129765i
\(95\) 692766. + 104418.i 0.808009 + 0.121788i
\(96\) −693329. 643315.i −0.783657 0.727127i
\(97\) 559757. 701913.i 0.613316 0.769074i −0.374071 0.927400i \(-0.622038\pi\)
0.987387 + 0.158326i \(0.0506098\pi\)
\(98\) −262218. 384604.i −0.278602 0.408635i
\(99\) 2.44738e6 2.27084e6i 2.52229 2.34035i
\(100\) 7080.43 + 94481.8i 0.00708043 + 0.0944818i
\(101\) −535545. + 1.36455e6i −0.519795 + 1.32442i 0.394325 + 0.918971i \(0.370978\pi\)
−0.914120 + 0.405444i \(0.867117\pi\)
\(102\) 16850.7 73827.8i 0.0158788 0.0695696i
\(103\) −266914. + 82332.1i −0.244264 + 0.0753456i −0.414470 0.910063i \(-0.636033\pi\)
0.170206 + 0.985409i \(0.445557\pi\)
\(104\) 515219. 755687.i 0.458028 0.671803i
\(105\) −171149. 1.13550e6i −0.147845 0.980887i
\(106\) −992032. + 389344.i −0.832929 + 0.326901i
\(107\) −1.14492e6 + 551362.i −0.934592 + 0.450076i −0.838258 0.545273i \(-0.816426\pi\)
−0.0963338 + 0.995349i \(0.530712\pi\)
\(108\) 462826. + 961067.i 0.367406 + 0.762926i
\(109\) 501263. + 1.27720e6i 0.387067 + 0.986231i 0.983067 + 0.183246i \(0.0586606\pi\)
−0.596000 + 0.802984i \(0.703244\pi\)
\(110\) −1.24020e6 + 186930.i −0.931779 + 0.140443i
\(111\) 1.80969e6 + 1.23382e6i 1.32323 + 0.902161i
\(112\) 163817. + 531082.i 0.116602 + 0.378013i
\(113\) −550381. 125621.i −0.381442 0.0870615i 0.0275008 0.999622i \(-0.491245\pi\)
−0.408942 + 0.912560i \(0.634102\pi\)
\(114\) 2.15504e6 + 845792.i 1.45459 + 0.570886i
\(115\) −1.30109e6 + 97503.0i −0.855486 + 0.0641098i
\(116\) −338470. 364784.i −0.216843 0.233702i
\(117\) −2.49968e6 + 1.70425e6i −1.56073 + 1.06409i
\(118\) 1.52034e6 + 1.21243e6i 0.925327 + 0.737923i
\(119\) 33259.0 35844.7i 0.0197364 0.0212708i
\(120\) 433436. 2.87566e6i 0.250831 1.66416i
\(121\) −337139. 1.47710e6i −0.190306 0.833786i
\(122\) 919238. + 1.59217e6i 0.506231 + 0.876817i
\(123\) −873584. 504364.i −0.469450 0.271037i
\(124\) 749402. + 231160.i 0.393052 + 0.121240i
\(125\) −1.66218e6 + 1.32554e6i −0.851036 + 0.678678i
\(126\) 203152. 2.71087e6i 0.101557 1.35518i
\(127\) −1.06919e6 514893.i −0.521966 0.251366i 0.154299 0.988024i \(-0.450688\pi\)
−0.676265 + 0.736659i \(0.736403\pi\)
\(128\) 733708.i 0.349859i
\(129\) 3.22110e6 2.42365e6i 1.50050 1.12902i
\(130\) 1.13653e6 0.517310
\(131\) −528349. + 1.09713e6i −0.235021 + 0.488026i −0.984807 0.173655i \(-0.944442\pi\)
0.749786 + 0.661681i \(0.230157\pi\)
\(132\) 1.73330e6 + 129893.i 0.753621 + 0.0564761i
\(133\) 932045. + 1.16875e6i 0.396170 + 0.496782i
\(134\) −121277. + 393169.i −0.0504037 + 0.163405i
\(135\) −2.90582e6 + 5.03303e6i −1.18105 + 2.04564i
\(136\) 107244. 61917.1i 0.0426339 0.0246147i
\(137\) −3.55805e6 + 812102.i −1.38373 + 0.315827i −0.848640 0.528970i \(-0.822578\pi\)
−0.535087 + 0.844797i \(0.679721\pi\)
\(138\) −4.26329e6 642588.i −1.62221 0.244509i
\(139\) 869755. + 807015.i 0.323857 + 0.300495i 0.825299 0.564696i \(-0.191007\pi\)
−0.501442 + 0.865191i \(0.667197\pi\)
\(140\) 267041. 334859.i 0.0973181 0.122033i
\(141\) −2.06016e6 3.02170e6i −0.734926 1.07794i
\(142\) 2.09595e6 1.94476e6i 0.732008 0.679205i
\(143\) 222567. + 2.96996e6i 0.0761120 + 1.01564i
\(144\) 1.70094e6 4.33393e6i 0.569642 1.45142i
\(145\) 603291. 2.64319e6i 0.197890 0.867011i
\(146\) −4.29809e6 + 1.32579e6i −1.38107 + 0.426005i
\(147\) −1.97988e6 + 2.90396e6i −0.623287 + 0.914193i
\(148\) 121756. + 807798.i 0.0375582 + 0.249183i
\(149\) 2.25251e6 884046.i 0.680939 0.267249i 0.000442303 1.00000i \(-0.499859\pi\)
0.680497 + 0.732751i \(0.261764\pi\)
\(150\) −1.53684e6 + 740104.i −0.455361 + 0.219290i
\(151\) 102838. + 213545.i 0.0298691 + 0.0620237i 0.915370 0.402615i \(-0.131899\pi\)
−0.885500 + 0.464639i \(0.846184\pi\)
\(152\) 1.38311e6 + 3.52411e6i 0.393846 + 1.00350i
\(153\) −405047. + 61051.0i −0.113092 + 0.0170459i
\(154\) −2.21114e6 1.50753e6i −0.605418 0.412767i
\(155\) 1.25941e6 + 4.08291e6i 0.338199 + 1.09641i
\(156\) −1.53559e6 350489.i −0.404484 0.0923209i
\(157\) −5.39323e6 2.11669e6i −1.39364 0.546963i −0.454576 0.890708i \(-0.650209\pi\)
−0.939063 + 0.343745i \(0.888304\pi\)
\(158\) 6.34437e6 475445.i 1.60849 0.120539i
\(159\) 5.47307e6 + 5.89856e6i 1.36157 + 1.46742i
\(160\) 1.58799e6 1.08267e6i 0.387693 0.264325i
\(161\) −2.17660e6 1.73578e6i −0.521556 0.415927i
\(162\) −6.93065e6 + 7.46946e6i −1.63015 + 1.75689i
\(163\) 712389. 4.72639e6i 0.164496 1.09136i −0.742386 0.669972i \(-0.766306\pi\)
0.906882 0.421385i \(-0.138456\pi\)
\(164\) −83719.8 366801.i −0.0189800 0.0831569i
\(165\) 4.73495e6 + 8.20118e6i 1.05406 + 1.82568i
\(166\) 2.82559e6 + 1.63136e6i 0.617711 + 0.356636i
\(167\) 304052. + 93787.5i 0.0652827 + 0.0201370i 0.327224 0.944947i \(-0.393887\pi\)
−0.261942 + 0.965084i \(0.584363\pi\)
\(168\) 4.85145e6 3.86890e6i 1.02316 0.815944i
\(169\) −159023. + 2.12201e6i −0.0329457 + 0.439630i
\(170\) 138642. + 66766.6i 0.0282195 + 0.0135898i
\(171\) 1.25228e7i 2.50445i
\(172\) 1.47981e6 + 265835.i 0.290818 + 0.0522428i
\(173\) 8.57058e6 1.65528 0.827641 0.561258i \(-0.189683\pi\)
0.827641 + 0.561258i \(0.189683\pi\)
\(174\) 3.88714e6 8.07172e6i 0.737874 1.53221i
\(175\) −1.09836e6 82310.9i −0.204942 0.0153583i
\(176\) −2.85764e6 3.58337e6i −0.524167 0.657284i
\(177\) 4.32779e6 1.40303e7i 0.780452 2.53016i
\(178\) 2.90790e6 5.03663e6i 0.515608 0.893058i
\(179\) −5.43496e6 + 3.13788e6i −0.947627 + 0.547113i −0.892343 0.451358i \(-0.850940\pi\)
−0.0552838 + 0.998471i \(0.517606\pi\)
\(180\) −3.49796e6 + 798386.i −0.599787 + 0.136897i
\(181\) −6.82194e6 1.02824e6i −1.15046 0.173404i −0.454002 0.891000i \(-0.650004\pi\)
−0.696459 + 0.717596i \(0.745242\pi\)
\(182\) 1.77770e6 + 1.64947e6i 0.294880 + 0.273608i
\(183\) 8.65494e6 1.08529e7i 1.41225 1.77090i
\(184\) −3.97165e6 5.82535e6i −0.637555 0.935122i
\(185\) −3.26265e6 + 3.02730e6i −0.515294 + 0.478123i
\(186\) 1.05512e6 + 1.40796e7i 0.163970 + 2.18802i
\(187\) −147322. + 375371.i −0.0225291 + 0.0574032i
\(188\) 303529. 1.32985e6i 0.0456800 0.200137i
\(189\) −1.18496e7 + 3.65513e6i −1.75517 + 0.541399i
\(190\) −2.65008e6 + 3.88695e6i −0.386365 + 0.566693i
\(191\) −1.04467e6 6.93091e6i −0.149926 0.994695i −0.929616 0.368530i \(-0.879861\pi\)
0.779690 0.626166i \(-0.215377\pi\)
\(192\) 1.35484e7 5.31734e6i 1.91418 0.751261i
\(193\) −6.38792e6 + 3.07626e6i −0.888562 + 0.427909i −0.821744 0.569856i \(-0.806999\pi\)
−0.0668176 + 0.997765i \(0.521285\pi\)
\(194\) 2.61566e6 + 5.43148e6i 0.358242 + 0.743898i
\(195\) −3.13514e6 7.98820e6i −0.422817 1.07732i
\(196\) −1.29625e6 + 195379.i −0.172156 + 0.0259483i
\(197\) 1.95347e6 + 1.33185e6i 0.255510 + 0.174204i 0.684300 0.729200i \(-0.260108\pi\)
−0.428790 + 0.903404i \(0.641060\pi\)
\(198\) 6.60795e6 + 2.14224e7i 0.851277 + 2.75977i
\(199\) −372988. 85132.0i −0.0473299 0.0108027i 0.198790 0.980042i \(-0.436299\pi\)
−0.246120 + 0.969239i \(0.579156\pi\)
\(200\) −2.59659e6 1.01909e6i −0.324574 0.127386i
\(201\) 3.09796e6 232160.i 0.381494 0.0285890i
\(202\) −6.69507e6 7.21557e6i −0.812272 0.875421i
\(203\) 4.77974e6 3.25877e6i 0.571368 0.389552i
\(204\) −166733. 132965.i −0.0196395 0.0156620i
\(205\) 1.39422e6 1.50261e6i 0.161834 0.174416i
\(206\) 279548. 1.85468e6i 0.0319782 0.212162i
\(207\) 5.18955e6 + 2.27369e7i 0.585085 + 2.56342i
\(208\) 2.07664e6 + 3.59684e6i 0.230765 + 0.399697i
\(209\) −1.06763e7 6.16394e6i −1.16945 0.675180i
\(210\) 7.36830e6 + 2.27282e6i 0.795627 + 0.245418i
\(211\) 5.80189e6 4.62685e6i 0.617621 0.492537i −0.263982 0.964528i \(-0.585036\pi\)
0.881603 + 0.471991i \(0.156465\pi\)
\(212\) −224280. + 2.99281e6i −0.0235387 + 0.314102i
\(213\) −1.94506e7 9.36691e6i −2.01277 0.969299i
\(214\) 8.53301e6i 0.870685i
\(215\) 3.34502e6 + 7.47730e6i 0.336576 + 0.752367i
\(216\) −3.14045e7 −3.11624
\(217\) −3.95569e6 + 8.21407e6i −0.387118 + 0.803858i
\(218\) −9.18734e6 688496.i −0.886789 0.0664557i
\(219\) 2.11747e7 + 2.65523e7i 2.01598 + 2.52795i
\(220\) −1.04109e6 + 3.37515e6i −0.0977737 + 0.316975i
\(221\) 182706. 316456.i 0.0169268 0.0293182i
\(222\) −1.27370e7 + 7.35371e6i −1.16415 + 0.672121i
\(223\) 4.07480e6 930047.i 0.367445 0.0838668i −0.0348118 0.999394i \(-0.511083\pi\)
0.402256 + 0.915527i \(0.368226\pi\)
\(224\) 4.05516e6 + 611217.i 0.360798 + 0.0543815i
\(225\) 6.76379e6 + 6.27588e6i 0.593803 + 0.550969i
\(226\) 2.36352e6 2.96376e6i 0.204755 0.256754i
\(227\) −4.82236e6 7.07311e6i −0.412271 0.604690i 0.562798 0.826595i \(-0.309725\pi\)
−0.975068 + 0.221905i \(0.928773\pi\)
\(228\) 4.77925e6 4.43450e6i 0.403232 0.374145i
\(229\) 56802.0 + 757970.i 0.00472996 + 0.0631169i 0.999069 0.0431342i \(-0.0137343\pi\)
−0.994339 + 0.106251i \(0.966115\pi\)
\(230\) 3.20081e6 8.15552e6i 0.263073 0.670299i
\(231\) −4.49634e6 + 1.96998e7i −0.364773 + 1.59818i
\(232\) 1.39995e7 4.31828e6i 1.12111 0.345818i
\(233\) −6.49047e6 + 9.51977e6i −0.513107 + 0.752590i −0.992130 0.125212i \(-0.960039\pi\)
0.479023 + 0.877803i \(0.340991\pi\)
\(234\) −3.02780e6 2.00881e7i −0.236309 1.56781i
\(235\) 6.91791e6 2.71508e6i 0.533054 0.209208i
\(236\) 4.93398e6 2.37608e6i 0.375372 0.180770i
\(237\) −2.08427e7 4.32804e7i −1.56570 3.25122i
\(238\) 119957. + 305646.i 0.00889808 + 0.0226719i
\(239\) −7.00673e6 + 1.05609e6i −0.513241 + 0.0773586i −0.400556 0.916272i \(-0.631183\pi\)
−0.112685 + 0.993631i \(0.535945\pi\)
\(240\) 1.09113e7 + 7.43918e6i 0.789300 + 0.538135i
\(241\) 1.99650e6 + 6.47250e6i 0.142632 + 0.462403i 0.998498 0.0547960i \(-0.0174508\pi\)
−0.855865 + 0.517199i \(0.826975\pi\)
\(242\) 9.91858e6 + 2.26385e6i 0.699847 + 0.159736i
\(243\) 3.33387e7 + 1.30845e7i 2.32343 + 0.911879i
\(244\) 5.16299e6 386913.i 0.355412 0.0266345i
\(245\) −4.85783e6 5.23549e6i −0.330327 0.356007i
\(246\) 5.59652e6 3.81565e6i 0.375935 0.256308i
\(247\) 8.73401e6 + 6.96514e6i 0.579593 + 0.462210i
\(248\) −1.57043e7 + 1.69252e7i −1.02959 + 1.10963i
\(249\) 3.67168e6 2.43600e7i 0.237830 1.57790i
\(250\) −3.17669e6 1.39180e7i −0.203308 0.890750i
\(251\) 9.93690e6 + 1.72112e7i 0.628391 + 1.08840i 0.987875 + 0.155253i \(0.0496194\pi\)
−0.359484 + 0.933151i \(0.617047\pi\)
\(252\) −6.63003e6 3.82785e6i −0.414299 0.239196i
\(253\) 2.19386e7 + 6.76717e6i 1.35472 + 0.417874i
\(254\) 6.23011e6 4.96835e6i 0.380185 0.303187i
\(255\) 86827.6 1.15863e6i 0.00523646 0.0698756i
\(256\) 1.21139e7 + 5.83375e6i 0.722045 + 0.347719i
\(257\) 7.37181e6i 0.434285i −0.976140 0.217142i \(-0.930326\pi\)
0.976140 0.217142i \(-0.0696736\pi\)
\(258\) 5.27821e6 + 2.65486e7i 0.307346 + 1.54590i
\(259\) −9.49683e6 −0.546612
\(260\) 1.38872e6 2.88371e6i 0.0790123 0.164071i
\(261\) −4.83255e7 3.62150e6i −2.71803 0.203688i
\(262\) −5.09818e6 6.39292e6i −0.283473 0.355464i
\(263\) 1.00958e6 3.27299e6i 0.0554976 0.179919i −0.923580 0.383406i \(-0.874751\pi\)
0.979078 + 0.203487i \(0.0652273\pi\)
\(264\) −2.55864e7 + 4.43169e7i −1.39058 + 2.40856i
\(265\) −1.41606e7 + 8.17560e6i −0.760926 + 0.439321i
\(266\) −9.78631e6 + 2.23366e6i −0.519965 + 0.118679i
\(267\) −4.34218e7 6.54478e6i −2.28126 0.343844i
\(268\) 849395. + 788124.i 0.0441271 + 0.0409440i
\(269\) 2.94831e6 3.69707e6i 0.151467 0.189933i −0.700309 0.713840i \(-0.746954\pi\)
0.851776 + 0.523907i \(0.175526\pi\)
\(270\) −2.19833e7 3.22436e7i −1.11687 1.63814i
\(271\) −1.26239e6 + 1.17133e6i −0.0634287 + 0.0588533i −0.711250 0.702939i \(-0.751871\pi\)
0.647822 + 0.761792i \(0.275680\pi\)
\(272\) 42023.3 + 560762.i 0.00208826 + 0.0278658i
\(273\) 6.68959e6 1.70448e7i 0.328784 0.837729i
\(274\) 5.45317e6 2.38919e7i 0.265093 1.16145i
\(275\) 8.67973e6 2.67734e6i 0.417357 0.128738i
\(276\) −6.83972e6 + 1.00320e7i −0.325320 + 0.477157i
\(277\) 1.90991e6 + 1.26714e7i 0.0898615 + 0.596192i 0.987759 + 0.155988i \(0.0498560\pi\)
−0.897897 + 0.440205i \(0.854906\pi\)
\(278\) −7.41638e6 + 2.91071e6i −0.345189 + 0.135477i
\(279\) 6.88101e7 3.31372e7i 3.16840 1.52582i
\(280\) 5.47104e6 + 1.13607e7i 0.249228 + 0.517526i
\(281\) 9.18244e6 + 2.33965e7i 0.413847 + 1.05446i 0.974095 + 0.226139i \(0.0726104\pi\)
−0.560248 + 0.828325i \(0.689294\pi\)
\(282\) 2.42832e7 3.66011e6i 1.08283 0.163210i
\(283\) −931894. 635355.i −0.0411157 0.0280322i 0.542588 0.839999i \(-0.317445\pi\)
−0.583703 + 0.811967i \(0.698397\pi\)
\(284\) −2.37338e6 7.69432e6i −0.103613 0.335904i
\(285\) 3.46300e7 + 7.90407e6i 1.49595 + 0.341442i
\(286\) −1.86164e7 7.30639e6i −0.795788 0.312324i
\(287\) 4.36153e6 326852.i 0.184499 0.0138263i
\(288\) −2.33668e7 2.51834e7i −0.978185 1.05423i
\(289\) −1.99025e7 + 1.35693e7i −0.824545 + 0.562165i
\(290\) 1.42334e7 + 1.13507e7i 0.583598 + 0.465404i
\(291\) 3.09602e7 3.33672e7i 1.25639 1.35407i
\(292\) −1.88791e6 + 1.25255e7i −0.0758285 + 0.503089i
\(293\) −1.00542e7 4.40505e7i −0.399711 1.75125i −0.628535 0.777781i \(-0.716345\pi\)
0.228824 0.973468i \(-0.426512\pi\)
\(294\) −1.18003e7 2.04387e7i −0.464356 0.804288i
\(295\) 2.58389e7 + 1.49181e7i 1.00649 + 0.581094i
\(296\) −2.29823e7 7.08910e6i −0.886172 0.273348i
\(297\) 7.99531e7 6.37605e7i 3.05187 2.43378i
\(298\) −1.21426e6 + 1.62031e7i −0.0458841 + 0.612280i
\(299\) −1.87442e7 9.02675e6i −0.701220 0.337690i
\(300\) 4.80374e6i 0.177916i
\(301\) −5.61982e6 + 1.65503e7i −0.206074 + 0.606884i
\(302\) −1.59154e6 −0.0577826
\(303\) −3.22468e7 + 6.69611e7i −1.15920 + 2.40710i
\(304\) −1.71434e7 1.28472e6i −0.610205 0.0457285i
\(305\) 1.75874e7 + 2.20539e7i 0.619873 + 0.777296i
\(306\) 810744. 2.62837e6i 0.0282956 0.0917322i
\(307\) 9.00189e6 1.55917e7i 0.311113 0.538864i −0.667490 0.744619i \(-0.732631\pi\)
0.978604 + 0.205754i \(0.0659648\pi\)
\(308\) −6.52683e6 + 3.76827e6i −0.223383 + 0.128970i
\(309\) −1.38069e7 + 3.15133e6i −0.467972 + 0.106812i
\(310\) −2.83705e7 4.27616e6i −0.952317 0.143539i
\(311\) 8.48488e6 + 7.87281e6i 0.282075 + 0.261727i 0.808503 0.588493i \(-0.200278\pi\)
−0.526428 + 0.850220i \(0.676469\pi\)
\(312\) 2.89122e7 3.62547e7i 0.951957 1.19372i
\(313\) 1.79921e7 + 2.63895e7i 0.586743 + 0.860594i 0.998719 0.0506005i \(-0.0161135\pi\)
−0.411976 + 0.911195i \(0.635161\pi\)
\(314\) 2.85188e7 2.64616e7i 0.921177 0.854727i
\(315\) −3.11699e6 4.15933e7i −0.0997249 1.33074i
\(316\) 6.54581e6 1.66784e7i 0.207444 0.528560i
\(317\) 7.95602e6 3.48576e7i 0.249757 1.09426i −0.682050 0.731305i \(-0.738911\pi\)
0.931807 0.362953i \(-0.118231\pi\)
\(318\) −5.16314e7 + 1.59262e7i −1.60558 + 0.495256i
\(319\) −2.68741e7 + 3.94171e7i −0.827871 + 1.21426i
\(320\) 4.40802e6 + 2.92453e7i 0.134522 + 0.892497i
\(321\) −5.99749e7 + 2.35384e7i −1.81324 + 0.711643i
\(322\) 1.68428e7 8.11105e6i 0.504482 0.242946i
\(323\) 656264. + 1.36275e6i 0.0194747 + 0.0404396i
\(324\) 1.04837e7 + 2.67119e7i 0.308232 + 0.785363i
\(325\) −8.13911e6 + 1.22677e6i −0.237097 + 0.0357367i
\(326\) 2.65187e7 + 1.80801e7i 0.765419 + 0.521854i
\(327\) 2.05043e7 + 6.64732e7i 0.586409 + 1.90109i
\(328\) 1.07989e7 + 2.46477e6i 0.306025 + 0.0698482i
\(329\) 1.47611e7 + 5.79329e6i 0.414505 + 0.162681i
\(330\) −6.34115e7 + 4.75204e6i −1.76452 + 0.132232i
\(331\) −1.48570e7 1.60120e7i −0.409682 0.441532i 0.494178 0.869361i \(-0.335469\pi\)
−0.903860 + 0.427829i \(0.859279\pi\)
\(332\) 7.59179e6 5.17600e6i 0.207458 0.141442i
\(333\) 6.21993e7 + 4.96023e7i 1.68443 + 1.34329i
\(334\) −1.45325e6 + 1.56623e6i −0.0390033 + 0.0420356i
\(335\) −940891. + 6.24241e6i −0.0250268 + 0.166042i
\(336\) 6.27023e6 + 2.74717e7i 0.165297 + 0.724215i
\(337\) 1.41008e7 + 2.44233e7i 0.368430 + 0.638139i 0.989320 0.145758i \(-0.0465622\pi\)
−0.620891 + 0.783897i \(0.713229\pi\)
\(338\) −1.23747e7 7.14451e6i −0.320467 0.185022i
\(339\) −2.73508e7 8.43660e6i −0.702054 0.216555i
\(340\) 338812. 270194.i 0.00862029 0.00687445i
\(341\) 5.61856e6 7.49744e7i 0.141697 1.89082i
\(342\) 7.57617e7 + 3.64849e7i 1.89396 + 0.912084i
\(343\) 4.11026e7i 1.01856i
\(344\) −2.59542e7 + 3.58566e7i −0.637578 + 0.880833i
\(345\) −6.61512e7 −1.61094
\(346\) −2.49702e7 + 5.18512e7i −0.602829 + 1.25179i
\(347\) −6.39579e7 4.79298e6i −1.53075 0.114714i −0.717474 0.696585i \(-0.754702\pi\)
−0.813281 + 0.581871i \(0.802321\pi\)
\(348\) −1.57306e7 1.97256e7i −0.373257 0.468050i
\(349\) −1.04747e7 + 3.39583e7i −0.246415 + 0.798858i 0.744880 + 0.667199i \(0.232507\pi\)
−0.991295 + 0.131660i \(0.957969\pi\)
\(350\) 3.69803e6 6.40518e6i 0.0862514 0.149392i
\(351\) −8.02537e7 + 4.63345e7i −1.85585 + 1.07148i
\(352\) −3.29715e7 + 7.52553e6i −0.755981 + 0.172548i
\(353\) 2.79469e7 + 4.21232e6i 0.635345 + 0.0957628i 0.458814 0.888532i \(-0.348274\pi\)
0.176531 + 0.984295i \(0.443512\pi\)
\(354\) 7.22733e7 + 6.70598e7i 1.62918 + 1.51166i
\(355\) 2.73521e7 3.42984e7i 0.611372 0.766636i
\(356\) −9.22623e6 1.35324e7i −0.204491 0.299933i
\(357\) 1.81736e6 1.68626e6i 0.0399425 0.0370612i
\(358\) −3.14920e6 4.20231e7i −0.0686358 0.915881i
\(359\) −1.00792e7 + 2.56815e7i −0.217843 + 0.555056i −0.997462 0.0711986i \(-0.977318\pi\)
0.779619 + 0.626254i \(0.215413\pi\)
\(360\) 2.35051e7 1.02982e8i 0.503795 2.20727i
\(361\) 769580. 237384.i 0.0163581 0.00504580i
\(362\) 2.60964e7 3.82763e7i 0.550116 0.806872i
\(363\) −1.14489e7 7.59584e7i −0.239355 1.58802i
\(364\) 6.35733e6 2.49507e6i 0.131817 0.0517343i
\(365\) −6.21779e7 + 2.99433e7i −1.27867 + 0.615774i
\(366\) 4.04433e7 + 8.39814e7i 0.824904 + 1.71293i
\(367\) −1.94902e7 4.96603e7i −0.394293 1.00464i −0.980855 0.194738i \(-0.937614\pi\)
0.586563 0.809904i \(-0.300481\pi\)
\(368\) 3.16586e7 4.77177e6i 0.635256 0.0957494i
\(369\) −3.02729e7 2.06397e7i −0.602525 0.410795i
\(370\) −8.80919e6 2.85587e7i −0.173912 0.563810i
\(371\) −3.40146e7 7.76360e6i −0.666106 0.152034i
\(372\) 3.70132e7 + 1.45266e7i 0.718999 + 0.282186i
\(373\) 3.13594e7 2.35006e6i 0.604285 0.0452849i 0.230925 0.972972i \(-0.425825\pi\)
0.373360 + 0.927687i \(0.378206\pi\)
\(374\) −1.84174e6 1.98492e6i −0.0352057 0.0379428i
\(375\) −8.90606e7 + 6.07205e7i −1.68885 + 1.15144i
\(376\) 3.13972e7 + 2.50384e7i 0.590646 + 0.471025i
\(377\) 2.94043e7 3.16903e7i 0.548766 0.591429i
\(378\) 1.24105e7 8.23384e7i 0.229781 1.52450i
\(379\) 1.04555e7 + 4.58086e7i 0.192056 + 0.841453i 0.975502 + 0.219992i \(0.0706032\pi\)
−0.783445 + 0.621461i \(0.786540\pi\)
\(380\) 6.62420e6 + 1.14734e7i 0.120721 + 0.209095i
\(381\) −5.21062e7 3.00836e7i −0.942139 0.543944i
\(382\) 4.49749e7 + 1.38729e7i 0.806827 + 0.248873i
\(383\) −9.15248e6 + 7.29886e6i −0.162908 + 0.129915i −0.701551 0.712619i \(-0.747509\pi\)
0.538643 + 0.842534i \(0.318937\pi\)
\(384\) −2.77993e6 + 3.70956e7i −0.0490954 + 0.655132i
\(385\) −3.69944e7 1.78156e7i −0.648267 0.312189i
\(386\) 4.76089e7i 0.827802i
\(387\) 1.23250e8 7.90432e7i 2.12644 1.36374i
\(388\) 1.69773e7 0.290652
\(389\) 3.28117e7 6.81342e7i 0.557416 1.15749i −0.411799 0.911275i \(-0.635100\pi\)
0.969216 0.246213i \(-0.0791861\pi\)
\(390\) 5.74620e7 + 4.30618e6i 0.968694 + 0.0725936i
\(391\) −1.75627e6 2.20230e6i −0.0293807 0.0368422i
\(392\) 1.13757e7 3.68791e7i 0.188851 0.612240i
\(393\) −3.08697e7 + 5.34679e7i −0.508575 + 0.880878i
\(394\) −1.37490e7 + 7.93797e6i −0.224792 + 0.129784i
\(395\) 9.51683e7 2.17215e7i 1.54419 0.352451i
\(396\) 6.24291e7 + 9.40967e6i 1.00531 + 0.151527i
\(397\) −1.70598e7 1.58291e7i −0.272647 0.252980i 0.531984 0.846754i \(-0.321447\pi\)
−0.804631 + 0.593775i \(0.797637\pi\)
\(398\) 1.60173e6 2.00851e6i 0.0254063 0.0318584i
\(399\) 4.26951e7 + 6.26222e7i 0.672140 + 0.985848i
\(400\) 9.28542e6 8.61561e6i 0.145085 0.134619i
\(401\) −6.42613e6 8.57507e7i −0.0996589 1.32986i −0.792989 0.609236i \(-0.791476\pi\)
0.693330 0.720620i \(-0.256143\pi\)
\(402\) −7.62130e6 + 1.94188e7i −0.117314 + 0.298912i
\(403\) −1.51605e7 + 6.64224e7i −0.231631 + 1.01484i
\(404\) −2.64887e7 + 8.17067e6i −0.401713 + 0.123912i
\(405\) −8.80693e7 + 1.29174e8i −1.32574 + 1.94451i
\(406\) 5.78958e6 + 3.84113e7i 0.0865105 + 0.573960i
\(407\) 7.29037e7 2.86126e7i 1.08135 0.424399i
\(408\) 5.65674e6 2.72414e6i 0.0832886 0.0401097i
\(409\) −5.22110e7 1.08417e8i −0.763119 1.58463i −0.810487 0.585756i \(-0.800798\pi\)
0.0473680 0.998878i \(-0.484917\pi\)
\(410\) 5.02863e6 + 1.28127e7i 0.0729622 + 0.185905i
\(411\) −1.82969e8 + 2.75781e7i −2.63543 + 0.397227i
\(412\) −4.36427e6 2.97551e6i −0.0624051 0.0425471i
\(413\) 1.87649e7 + 6.08344e7i 0.266377 + 0.863573i
\(414\) −1.52676e8 3.48472e7i −2.15164 0.491097i
\(415\) 4.65999e7 + 1.82891e7i 0.651989 + 0.255887i
\(416\) 3.05606e7 2.29020e6i 0.424505 0.0318122i
\(417\) 4.09164e7 + 4.40973e7i 0.564272 + 0.608141i
\(418\) 6.83963e7 4.66318e7i 0.936491 0.638489i
\(419\) 6.20126e7 + 4.94534e7i 0.843020 + 0.672286i 0.946626 0.322333i \(-0.104467\pi\)
−0.103607 + 0.994618i \(0.533038\pi\)
\(420\) 1.47701e7 1.59184e7i 0.199359 0.214857i
\(421\) −2.86195e6 + 1.89878e7i −0.0383544 + 0.254465i −0.999788 0.0205709i \(-0.993452\pi\)
0.961434 + 0.275036i \(0.0886897\pi\)
\(422\) 1.10883e7 + 4.85811e7i 0.147546 + 0.646443i
\(423\) −6.64187e7 1.15041e8i −0.877545 1.51995i
\(424\) −7.65198e7 4.41787e7i −1.00387 0.579583i
\(425\) −1.06493e6 328489.i −0.0138725 0.00427911i
\(426\) 1.13338e8 9.03839e7i 1.46604 1.16913i
\(427\) −4.49791e6 + 6.00205e7i −0.0577733 + 0.770931i
\(428\) −2.16507e7 1.04264e7i −0.276147 0.132986i
\(429\) 1.51002e8i 1.91253i
\(430\) −5.49826e7 1.54790e6i −0.691544 0.0194688i
\(431\) 1.29666e8 1.61955 0.809773 0.586744i \(-0.199590\pi\)
0.809773 + 0.586744i \(0.199590\pi\)
\(432\) 6.18757e7 1.28486e8i 0.767483 1.59369i
\(433\) 1.11810e8 + 8.37898e6i 1.37726 + 0.103211i 0.742681 0.669646i \(-0.233554\pi\)
0.634580 + 0.772857i \(0.281173\pi\)
\(434\) −3.81695e7 4.78631e7i −0.466926 0.585506i
\(435\) 4.05166e7 1.31352e8i 0.492226 1.59576i
\(436\) −1.29729e7 + 2.24697e7i −0.156522 + 0.271105i
\(437\) 7.45780e7 4.30577e7i 0.893648 0.515948i
\(438\) −2.22331e8 + 5.07456e7i −2.64592 + 0.603915i
\(439\) 2.04514e7 + 3.08256e6i 0.241730 + 0.0364349i 0.268790 0.963199i \(-0.413376\pi\)
−0.0270597 + 0.999634i \(0.508614\pi\)
\(440\) −7.62276e7 7.07288e7i −0.894858 0.830307i
\(441\) −7.95955e7 + 9.98096e7i −0.928053 + 1.16374i
\(442\) 1.38222e6 + 2.02734e6i 0.0160070 + 0.0234780i
\(443\) 1.92080e7 1.78224e7i 0.220938 0.205000i −0.561936 0.827181i \(-0.689943\pi\)
0.782874 + 0.622180i \(0.213753\pi\)
\(444\) 3.09522e6 + 4.13029e7i 0.0353625 + 0.471880i
\(445\) 3.26004e7 8.30644e7i 0.369950 0.942616i
\(446\) −6.24516e6 + 2.73618e7i −0.0703945 + 0.308419i
\(447\) 1.17235e8 3.61621e7i 1.31260 0.404884i
\(448\) −3.55494e7 + 5.21414e7i −0.395365 + 0.579894i
\(449\) −2.28612e7 1.51674e8i −0.252558 1.67561i −0.651510 0.758640i \(-0.725864\pi\)
0.398952 0.916972i \(-0.369374\pi\)
\(450\) −5.76746e7 + 2.26356e7i −0.632918 + 0.248402i
\(451\) −3.24972e7 + 1.56498e7i −0.354255 + 0.170600i
\(452\) −4.63194e6 9.61832e6i −0.0501588 0.104156i
\(453\) 4.39029e6 + 1.11863e7i 0.0472278 + 0.120335i
\(454\) 5.68415e7 8.56747e6i 0.607432 0.0915557i
\(455\) 3.07429e7 + 2.09601e7i 0.326370 + 0.222515i
\(456\) 5.65764e7 + 1.83416e8i 0.596679 + 1.93439i
\(457\) −6.06552e7 1.38442e7i −0.635506 0.145050i −0.107382 0.994218i \(-0.534247\pi\)
−0.528123 + 0.849168i \(0.677104\pi\)
\(458\) −4.75114e6 1.86468e6i −0.0494539 0.0194092i
\(459\) −1.25119e7 + 937637.i −0.129385 + 0.00969609i
\(460\) −1.67819e7 1.80865e7i −0.172412 0.185816i
\(461\) −6.81314e7 + 4.64512e7i −0.695416 + 0.474127i −0.858717 0.512450i \(-0.828738\pi\)
0.163301 + 0.986576i \(0.447786\pi\)
\(462\) −1.06082e8 8.45973e7i −1.07576 0.857888i
\(463\) −9.92503e7 + 1.06966e8i −0.999974 + 1.07772i −0.00299899 + 0.999996i \(0.500955\pi\)
−0.996975 + 0.0777204i \(0.975236\pi\)
\(464\) −9.91547e6 + 6.57848e7i −0.0992566 + 0.658524i
\(465\) 4.82050e7 + 2.11200e8i 0.479439 + 2.10056i
\(466\) −3.86838e7 6.70023e7i −0.382271 0.662113i
\(467\) −8.78032e6 5.06932e6i −0.0862104 0.0497736i 0.456275 0.889839i \(-0.349183\pi\)
−0.542485 + 0.840065i \(0.682517\pi\)
\(468\) −5.46690e7 1.68632e7i −0.533340 0.164513i
\(469\) −1.05314e7 + 8.39851e6i −0.102086 + 0.0814111i
\(470\) −3.72922e6 + 4.97630e7i −0.0359190 + 0.479306i
\(471\) −2.64657e8 1.27452e8i −2.53292 1.21979i
\(472\) 1.61227e8i 1.53324i
\(473\) −6.72232e6 1.43982e8i −0.0635237 1.36059i
\(474\) 3.22567e8 3.02890
\(475\) 1.47826e7 3.06963e7i 0.137933 0.286422i
\(476\) 922088. + 69100.9i 0.00854971 + 0.000640712i
\(477\) 1.82228e8 + 2.28507e8i 1.67904 + 2.10545i
\(478\) 1.40247e7 4.54669e7i 0.128413 0.416305i
\(479\) 5.92965e6 1.02705e7i 0.0539539 0.0934509i −0.837787 0.545997i \(-0.816151\pi\)
0.891741 + 0.452546i \(0.149484\pi\)
\(480\) 8.43896e7 4.87223e7i 0.763071 0.440559i
\(481\) −6.91901e7 + 1.57922e7i −0.621740 + 0.141908i
\(482\) −4.49748e7 6.77885e6i −0.401631 0.0605362i
\(483\) −1.03470e8 9.60063e7i −0.918277 0.852037i
\(484\) 1.78635e7 2.24001e7i 0.157554 0.197567i
\(485\) 5.21049e7 + 7.64239e7i 0.456724 + 0.669890i
\(486\) −1.76291e8 + 1.63575e8i −1.53576 + 1.42497i
\(487\) 6.23187e6 + 8.31585e7i 0.0539550 + 0.719979i 0.956936 + 0.290299i \(0.0937547\pi\)
−0.902981 + 0.429680i \(0.858626\pi\)
\(488\) −5.56884e7 + 1.41892e8i −0.479187 + 1.22095i
\(489\) 5.39255e7 2.36263e8i 0.461177 2.02055i
\(490\) 4.58274e7 1.41359e7i 0.389526 0.120153i
\(491\) −4.94186e7 + 7.24838e7i −0.417490 + 0.612346i −0.976162 0.217043i \(-0.930359\pi\)
0.558672 + 0.829389i \(0.311311\pi\)
\(492\) −2.84303e6 1.88623e7i −0.0238719 0.158380i
\(493\) 5.44863e6 2.13843e6i 0.0454722 0.0178465i
\(494\) −6.75848e7 + 3.25471e7i −0.560619 + 0.269980i
\(495\) 1.49243e8 + 3.09906e8i 1.23049 + 2.55514i
\(496\) −3.83047e7 9.75988e7i −0.313912 0.799833i
\(497\) 9.25606e7 1.39513e7i 0.753975 0.113643i
\(498\) 1.36678e8 + 9.31858e7i 1.10665 + 0.754504i
\(499\) −3.87674e7 1.25681e8i −0.312007 1.01150i −0.966766 0.255665i \(-0.917706\pi\)
0.654758 0.755838i \(-0.272770\pi\)
\(500\) −3.91955e7 8.94611e6i −0.313564 0.0715689i
\(501\) 1.50172e7 + 5.89382e6i 0.119420 + 0.0468688i
\(502\) −1.33077e8 + 9.97275e6i −1.05194 + 0.0788323i
\(503\) 1.22210e8 + 1.31711e8i 0.960290 + 1.03495i 0.999362 + 0.0357099i \(0.0113692\pi\)
−0.0390723 + 0.999236i \(0.512440\pi\)
\(504\) 1.86225e8 1.26966e8i 1.45461 0.991738i
\(505\) −1.18077e8 9.41630e7i −0.916833 0.731150i
\(506\) −1.04859e8 + 1.13011e8i −0.809379 + 0.872303i
\(507\) −1.60801e7 + 1.06684e8i −0.123386 + 0.818610i
\(508\) −4.99359e6 2.18784e7i −0.0380910 0.166887i
\(509\) 3.91412e7 + 6.77946e7i 0.296812 + 0.514093i 0.975405 0.220421i \(-0.0707433\pi\)
−0.678593 + 0.734515i \(0.737410\pi\)
\(510\) 6.75665e6 + 3.90096e6i 0.0509356 + 0.0294077i
\(511\) −1.40713e8 4.34041e7i −1.05456 0.325288i
\(512\) −1.07300e8 + 8.55689e7i −0.799447 + 0.637538i
\(513\) 2.86650e7 3.82508e8i 0.212325 2.83327i
\(514\) 4.45987e7 + 2.14776e7i 0.328423 + 0.158160i
\(515\) 2.87781e7i 0.210688i
\(516\) 7.38108e7 + 1.90472e7i 0.537243 + 0.138638i
\(517\) −1.30770e8 −0.946315
\(518\) 2.76688e7 5.74549e7i 0.199068 0.413369i
\(519\) 4.33321e8 + 3.24729e7i 3.09961 + 0.232284i
\(520\) 5.87515e7 + 7.36721e7i 0.417839 + 0.523954i
\(521\) −5.67193e7 + 1.83879e8i −0.401068 + 1.30023i 0.499802 + 0.866140i \(0.333406\pi\)
−0.900870 + 0.434090i \(0.857070\pi\)
\(522\) 1.62705e8 2.81813e8i 1.14390 1.98130i
\(523\) 4.62556e7 2.67057e7i 0.323340 0.186681i −0.329540 0.944142i \(-0.606894\pi\)
0.652880 + 0.757461i \(0.273560\pi\)
\(524\) −2.24501e7 + 5.12409e6i −0.156036 + 0.0356142i
\(525\) −5.52203e7 8.32313e6i −0.381611 0.0575186i
\(526\) 1.68598e7 + 1.56437e7i 0.115850 + 0.107493i
\(527\) −5.75143e6 + 7.21206e6i −0.0392956 + 0.0492751i
\(528\) −1.30903e8 1.91999e8i −0.889297 1.30436i
\(529\) −9.04558e6 + 8.39308e6i −0.0611040 + 0.0566962i
\(530\) −8.20510e6 1.09489e8i −0.0551133 0.735435i
\(531\) 1.94840e8 4.96444e8i 1.30135 3.31579i
\(532\) −6.29038e6 + 2.75600e7i −0.0417775 + 0.183039i
\(533\) 3.12329e7 9.63406e6i 0.206267 0.0636250i
\(534\) 1.66104e8 2.43630e8i 1.09083 1.59995i
\(535\) −1.95131e7 1.29461e8i −0.127428 0.845430i
\(536\) −3.17552e7 + 1.24630e7i −0.206215 + 0.0809334i
\(537\) −2.86676e8 + 1.38056e8i −1.85126 + 0.891521i
\(538\) 1.37771e7 + 2.86083e7i 0.0884728 + 0.183716i
\(539\) 4.59139e7 + 1.16987e8i 0.293210 + 0.747086i
\(540\) −1.08672e8 + 1.63797e7i −0.690141 + 0.104022i
\(541\) 1.04239e8 + 7.10691e7i 0.658323 + 0.448837i 0.845849 0.533422i \(-0.179094\pi\)
−0.187526 + 0.982260i \(0.560047\pi\)
\(542\) −3.40847e6 1.10500e7i −0.0214073 0.0694007i
\(543\) −3.41015e8 7.78345e7i −2.12997 0.486153i
\(544\) 3.86255e6 + 1.51594e6i 0.0239926 + 0.00941640i
\(545\) −1.40963e8 + 1.05637e7i −0.870793 + 0.0652569i
\(546\) 8.36293e7 + 9.01310e7i 0.513784 + 0.553728i
\(547\) 2.34479e8 1.59865e8i 1.43265 0.976767i 0.435593 0.900144i \(-0.356539\pi\)
0.997060 0.0766229i \(-0.0244137\pi\)
\(548\) −5.39575e7 4.30296e7i −0.327876 0.261473i
\(549\) 3.42948e8 3.69610e8i 2.07258 2.23371i
\(550\) −9.09055e6 + 6.03119e7i −0.0546389 + 0.362506i
\(551\) 3.98185e7 + 1.74456e8i 0.238029 + 1.04287i
\(552\) −1.78732e8 3.09572e8i −1.06264 1.84054i
\(553\) 1.80382e8 + 1.04144e8i 1.06664 + 0.615825i
\(554\) −8.22254e7 2.53632e7i −0.483589 0.149168i
\(555\) −1.76427e8 + 1.40696e8i −1.03201 + 0.823003i
\(556\) −1.67670e6 + 2.23741e7i −0.00975511 + 0.130173i
\(557\) −5.41478e7 2.60762e7i −0.313339 0.150896i 0.270604 0.962691i \(-0.412777\pi\)
−0.583943 + 0.811794i \(0.698491\pi\)
\(558\) 5.12839e8i 2.95174i
\(559\) −1.34225e7 + 1.29924e8i −0.0768417 + 0.743796i
\(560\) −5.72599e7 −0.326052
\(561\) −8.87072e6 + 1.84203e7i −0.0502424 + 0.104329i
\(562\) −1.68299e8 1.26123e7i −0.948142 0.0710534i
\(563\) 2.55313e7 + 3.20152e7i 0.143070 + 0.179404i 0.848203 0.529671i \(-0.177685\pi\)
−0.705134 + 0.709074i \(0.749113\pi\)
\(564\) 2.03848e7 6.60858e7i 0.113624 0.368359i
\(565\) 2.90813e7 5.03703e7i 0.161239 0.279273i
\(566\) 6.55889e6 3.78678e6i 0.0361727 0.0208843i
\(567\) −3.25226e8 + 7.42306e7i −1.78417 + 0.407224i
\(568\) 2.34410e8 + 3.53317e7i 1.27918 + 0.192805i
\(569\) 3.08245e7 + 2.86009e7i 0.167324 + 0.155254i 0.759391 0.650635i \(-0.225497\pi\)
−0.592066 + 0.805889i \(0.701688\pi\)
\(570\) −1.48713e8 + 1.86480e8i −0.803015 + 1.00695i
\(571\) 6.10008e7 + 8.94717e7i 0.327663 + 0.480593i 0.954355 0.298674i \(-0.0965442\pi\)
−0.626693 + 0.779267i \(0.715592\pi\)
\(572\) −4.12857e7 + 3.83075e7i −0.220603 + 0.204690i
\(573\) −2.65570e7 3.54379e8i −0.141161 1.88366i
\(574\) −1.07298e7 + 2.73391e7i −0.0567357 + 0.144560i
\(575\) −1.41190e7 + 6.18596e7i −0.0742680 + 0.325389i
\(576\) 5.05167e8 1.55823e8i 2.64343 0.815389i
\(577\) −8.60682e7 + 1.26239e8i −0.448039 + 0.657152i −0.982115 0.188285i \(-0.939707\pi\)
0.534076 + 0.845437i \(0.320660\pi\)
\(578\) −2.41074e7 1.59942e8i −0.124844 0.828285i
\(579\) −3.34623e8 + 1.31330e8i −1.72393 + 0.676594i
\(580\) 4.61917e7 2.22448e7i 0.236745 0.114010i
\(581\) 4.63458e7 + 9.62380e7i 0.236310 + 0.490702i
\(582\) 1.11666e8 + 2.84521e8i 0.566439 + 1.44326i
\(583\) 2.84508e8 4.28827e7i 1.43578 0.216410i
\(584\) −3.08124e8 2.10076e8i −1.54699 1.05472i
\(585\) −9.18743e7 2.97849e8i −0.458909 1.48775i
\(586\) 2.95794e8 + 6.75130e7i 1.46993 + 0.335502i
\(587\) −2.84163e7 1.11526e7i −0.140492 0.0551392i 0.294053 0.955789i \(-0.404996\pi\)
−0.434545 + 0.900650i \(0.643091\pi\)
\(588\) −6.62776e7 + 4.96682e6i −0.326013 + 0.0244313i
\(589\) −1.91815e8 2.06728e8i −0.938723 1.01170i
\(590\) −1.65534e8 + 1.12859e8i −0.805992 + 0.549516i
\(591\) 9.37194e7 + 7.47387e7i 0.454012 + 0.362062i
\(592\) 7.42853e7 8.00605e7i 0.358045 0.385881i
\(593\) −1.42510e7 + 9.45492e7i −0.0683410 + 0.453413i 0.928321 + 0.371779i \(0.121252\pi\)
−0.996662 + 0.0816340i \(0.973986\pi\)
\(594\) 1.52803e8 + 6.69473e8i 0.729075 + 3.19429i
\(595\) 2.51891e6 + 4.36289e6i 0.0119581 + 0.0207121i
\(596\) 3.96283e7 + 2.28794e7i 0.187183 + 0.108070i
\(597\) −1.85354e7 5.71740e6i −0.0871120 0.0268705i
\(598\) 1.09222e8 8.71016e7i 0.510748 0.407308i
\(599\) 1.06077e7 1.41550e8i 0.0493560 0.658610i −0.916584 0.399843i \(-0.869065\pi\)
0.965940 0.258767i \(-0.0833163\pi\)
\(600\) −1.27420e8 6.13623e7i −0.589908 0.284085i
\(601\) 2.27076e8i 1.04604i 0.852321 + 0.523018i \(0.175194\pi\)
−0.852321 + 0.523018i \(0.824806\pi\)
\(602\) −8.37544e7 8.22183e7i −0.383900 0.376859i
\(603\) 1.12841e8 0.514653
\(604\) −1.94469e6 + 4.03820e6i −0.00882552 + 0.0183264i
\(605\) 1.55659e8 + 1.16651e7i 0.702926 + 0.0526770i
\(606\) −3.11158e8 3.90180e8i −1.39818 1.75326i
\(607\) −1.38011e7 + 4.47420e7i −0.0617088 + 0.200055i −0.981177 0.193108i \(-0.938143\pi\)
0.919469 + 0.393163i \(0.128619\pi\)
\(608\) −6.34265e7 + 1.09858e8i −0.282202 + 0.488788i
\(609\) 2.54006e8 1.46651e8i 1.12459 0.649280i
\(610\) −1.84665e8 + 4.21485e7i −0.813569 + 0.185692i
\(611\) 1.17177e8 + 1.76616e7i 0.513710 + 0.0774293i
\(612\) −5.67828e6 5.26867e6i −0.0247721 0.0229851i
\(613\) −4.60498e7 + 5.77446e7i −0.199915 + 0.250686i −0.871676 0.490082i \(-0.836967\pi\)
0.671761 + 0.740768i \(0.265538\pi\)
\(614\) 6.81017e7 + 9.98868e7i 0.294207 + 0.431522i
\(615\) 7.61838e7 7.06882e7i 0.327519 0.303894i
\(616\) −1.65812e7 2.21261e8i −0.0709371 0.946590i
\(617\) −3.95761e7 + 1.00838e8i −0.168491 + 0.429308i −0.990032 0.140841i \(-0.955019\pi\)
0.821541 + 0.570149i \(0.193115\pi\)
\(618\) 2.11608e7 9.27117e7i 0.0896535 0.392798i
\(619\) 2.80138e8 8.64111e7i 1.18114 0.364332i 0.358844 0.933398i \(-0.383171\pi\)
0.822292 + 0.569066i \(0.192695\pi\)
\(620\) −4.55155e7 + 6.67590e7i −0.190979 + 0.280114i
\(621\) 1.06469e8 + 7.06377e8i 0.444579 + 2.94959i
\(622\) −7.23503e7 + 2.83954e7i −0.300655 + 0.117999i
\(623\) 1.71544e8 8.26114e7i 0.709435 0.341646i
\(624\) 9.13649e7 + 1.89721e8i 0.376033 + 0.780840i
\(625\) −5.14221e7 1.31021e8i −0.210625 0.536664i
\(626\) −2.12074e8 + 3.19649e7i −0.864497 + 0.130302i
\(627\) −5.16427e8 3.52094e8i −2.09511 1.42842i
\(628\) −3.22938e7 1.04694e8i −0.130389 0.422709i
\(629\) −9.36803e6 2.13819e6i −0.0376441 0.00859201i
\(630\) 2.60717e8 + 1.02324e8i 1.04267 + 0.409218i
\(631\) 2.06515e8 1.54761e7i 0.821983 0.0615991i 0.342903 0.939371i \(-0.388590\pi\)
0.479079 + 0.877772i \(0.340971\pi\)
\(632\) 3.58784e8 + 3.86677e8i 1.42129 + 1.53178i
\(633\) 3.10869e8 2.11947e8i 1.22565 0.835634i
\(634\) 1.87705e8 + 1.49690e8i 0.736562 + 0.587388i
\(635\) 8.31604e7 8.96256e7i 0.324784 0.350034i
\(636\) −2.26788e7 + 1.50464e8i −0.0881552 + 0.584872i
\(637\) −2.53413e7 1.11028e8i −0.0980417 0.429549i
\(638\) −1.60172e8 2.77427e8i −0.616774 1.06828i
\(639\) −6.79091e8 3.92074e8i −2.60271 1.50268i
\(640\) −7.22338e7 2.22812e7i −0.275550 0.0849960i
\(641\) 1.81054e8 1.44386e8i 0.687439 0.548214i −0.216285 0.976330i \(-0.569394\pi\)
0.903724 + 0.428116i \(0.140823\pi\)
\(642\) 3.23306e7 4.31421e8i 0.122182 1.63041i
\(643\) 4.25582e8 + 2.04949e8i 1.60085 + 0.770928i 0.999604 0.0281371i \(-0.00895751\pi\)
0.601244 + 0.799065i \(0.294672\pi\)
\(644\) 5.26458e7i 0.197109i
\(645\) 1.40791e8 + 3.90720e8i 0.524680 + 1.45608i
\(646\) −1.01565e7 −0.0376744
\(647\) −3.32100e7 + 6.89614e7i −0.122619 + 0.254620i −0.953238 0.302220i \(-0.902272\pi\)
0.830619 + 0.556840i \(0.187987\pi\)
\(648\) −8.42456e8 6.31333e7i −3.09615 0.232024i
\(649\) −3.27337e8 4.10468e8i −1.19746 1.50157i
\(650\) 1.62913e7 5.28150e7i 0.0593219 0.192317i
\(651\) −2.31118e8 + 4.00308e8i −0.837705 + 1.45095i
\(652\) 7.82775e7 4.51936e7i 0.282419 0.163055i
\(653\) −4.11673e8 + 9.39617e7i −1.47847 + 0.337451i −0.884312 0.466896i \(-0.845372\pi\)
−0.594159 + 0.804348i \(0.702515\pi\)
\(654\) −4.61895e8 6.96195e7i −1.65124 0.248884i
\(655\) −9.19677e7 8.53336e7i −0.327274 0.303666i
\(656\) −3.13610e7 + 3.93254e7i −0.111091 + 0.139303i
\(657\) 6.94893e8 + 1.01922e9i 2.45032 + 3.59395i
\(658\) −7.80549e7 + 7.24244e7i −0.273982 + 0.254218i
\(659\) 2.43116e7 + 3.24415e8i 0.0849487 + 1.13356i 0.862947 + 0.505295i \(0.168616\pi\)
−0.777998 + 0.628266i \(0.783765\pi\)
\(660\) −6.54248e7 + 1.66700e8i −0.227568 + 0.579833i
\(661\) −5.08622e7 + 2.22842e8i −0.176113 + 0.771600i 0.807289 + 0.590157i \(0.200934\pi\)
−0.983401 + 0.181443i \(0.941923\pi\)
\(662\) 1.40157e8 4.32326e7i 0.483103 0.149018i
\(663\) 1.04365e7 1.53075e7i 0.0358107 0.0525247i
\(664\) 4.03178e7 + 2.67491e8i 0.137719 + 0.913703i
\(665\) −1.43368e8 + 5.62677e7i −0.487514 + 0.191335i
\(666\) −4.81305e8 + 2.31784e8i −1.62929 + 0.784624i
\(667\) −1.44592e8 3.00249e8i −0.487268 1.01182i
\(668\) 2.19827e6 + 5.60109e6i 0.00737481 + 0.0187907i
\(669\) 2.09542e8 3.15834e7i 0.699831 0.105482i
\(670\) −3.50247e7 2.38794e7i −0.116453 0.0793962i
\(671\) −1.46304e8 4.74307e8i −0.484272 1.56997i
\(672\) 2.02709e8 + 4.62671e7i 0.667983 + 0.152463i
\(673\) 3.36943e8 + 1.32240e8i 1.10538 + 0.433830i 0.846666 0.532125i \(-0.178606\pi\)
0.258714 + 0.965954i \(0.416701\pi\)
\(674\) −1.88841e8 + 1.41517e7i −0.616761 + 0.0462199i
\(675\) 1.92234e8 + 2.07179e8i 0.625056 + 0.673650i
\(676\) −3.32482e7 + 2.26682e7i −0.107629 + 0.0733799i
\(677\) 1.32108e8 + 1.05353e8i 0.425759 + 0.339531i 0.812812 0.582526i \(-0.197936\pi\)
−0.387053 + 0.922057i \(0.626507\pi\)
\(678\) 1.30727e8 1.40890e8i 0.419445 0.452054i
\(679\) −2.94155e7 + 1.95159e8i −0.0939650 + 0.623417i
\(680\) 2.83900e6 + 1.24385e7i 0.00902897 + 0.0395585i
\(681\) −2.17015e8 3.75881e8i −0.687145 1.19017i
\(682\) 4.37219e8 + 2.52428e8i 1.37831 + 0.795765i
\(683\) −9.51354e7 2.93454e7i −0.298593 0.0921038i 0.141839 0.989890i \(-0.454699\pi\)
−0.440432 + 0.897786i \(0.645175\pi\)
\(684\) 1.85145e8 1.47649e8i 0.578555 0.461382i
\(685\) 2.80989e7 3.74953e8i 0.0874213 1.16656i
\(686\) 2.48667e8 + 1.19752e8i 0.770275 + 0.370945i
\(687\) 3.85375e7i 0.118854i
\(688\) −9.55639e7 1.76835e8i −0.293446 0.543003i
\(689\) −2.60727e8 −0.797127
\(690\) 1.92730e8 4.00208e8i 0.586682 1.21826i
\(691\) −5.94793e8 4.45735e7i −1.80273 0.135096i −0.869400 0.494109i \(-0.835494\pi\)
−0.933333 + 0.359013i \(0.883113\pi\)
\(692\) 1.01050e8 + 1.26713e8i 0.304944 + 0.382387i
\(693\) −2.16334e8 + 7.01337e8i −0.650017 + 2.10730i
\(694\) 2.15337e8 3.72975e8i 0.644229 1.11584i
\(695\) −1.05864e8 + 6.11203e7i −0.315349 + 0.182067i
\(696\) 7.24165e8 1.65286e8i 2.14788 0.490239i
\(697\) 4.37597e6 + 659572.i 0.0129234 + 0.00194789i
\(698\) −1.74926e8 1.62308e8i −0.514386 0.477281i
\(699\) −3.64221e8 + 4.56719e8i −1.06643 + 1.33727i
\(700\) −1.17332e7 1.72094e7i −0.0342075 0.0501732i
\(701\) 1.77380e8 1.64585e8i 0.514933 0.477788i −0.379373 0.925244i \(-0.623860\pi\)
0.894306 + 0.447456i \(0.147670\pi\)
\(702\) −4.65017e7 6.20522e8i −0.134418 1.79368i
\(703\) 1.07323e8 2.73454e8i 0.308906 0.787079i
\(704\) 1.15805e8 5.07376e8i 0.331903 1.45416i
\(705\) 3.60050e8 1.11061e8i 1.02753 0.316952i
\(706\) −1.06907e8 + 1.56804e8i −0.303803 + 0.445597i
\(707\) −4.80290e7 3.18651e8i −0.135908 0.901691i
\(708\) 2.58460e8 1.01438e8i 0.728273 0.285826i
\(709\) 3.05748e8 1.47240e8i 0.857875 0.413131i 0.0473806 0.998877i \(-0.484913\pi\)
0.810495 + 0.585746i \(0.199198\pi\)
\(710\) 1.27812e8 + 2.65405e8i 0.357107 + 0.741540i
\(711\) −6.37462e8 1.62423e9i −1.77356 4.51896i
\(712\) 4.76804e8 7.18666e7i 1.32099 0.199107i
\(713\) 4.33937e8 + 2.95854e8i 1.19718 + 0.816222i
\(714\) 4.90688e6 + 1.59077e7i 0.0134806 + 0.0437032i
\(715\) −2.99152e8 6.82795e7i −0.818415 0.186798i
\(716\) −1.10473e8 4.33573e7i −0.300965 0.118120i
\(717\) −3.58255e8 + 2.68475e7i −0.971930 + 0.0728361i
\(718\) −1.26005e8 1.35801e8i −0.340419 0.366884i
\(719\) −3.20409e8 + 2.18451e8i −0.862022 + 0.587717i −0.911611 0.411053i \(-0.865161\pi\)
0.0495893 + 0.998770i \(0.484209\pi\)
\(720\) 3.75023e8 + 2.99071e8i 1.00476 + 0.801266i
\(721\) 4.17660e7 4.50131e7i 0.111434 0.120097i
\(722\) −806006. + 5.34750e6i −0.00214154 + 0.0142082i
\(723\) 7.64178e7 + 3.34808e8i 0.202199 + 0.885893i
\(724\) −6.52311e7 1.12984e8i −0.171885 0.297714i
\(725\) −1.14182e8 6.59232e7i −0.299630 0.172991i
\(726\) 4.92897e8 + 1.52039e8i 1.28809 + 0.397323i
\(727\) −1.03260e8 + 8.23470e7i −0.268738 + 0.214311i −0.748581 0.663043i \(-0.769265\pi\)
0.479844 + 0.877354i \(0.340693\pi\)
\(728\) −1.50255e7 + 2.00501e8i −0.0389434 + 0.519664i
\(729\) 6.39324e8 + 3.07882e8i 1.65021 + 0.794698i
\(730\) 4.63410e8i 1.19123i
\(731\) −9.26987e6 + 1.50605e7i −0.0237313 + 0.0385557i
\(732\) 2.62502e8 0.669268
\(733\) −2.40195e8 + 4.98770e8i −0.609890 + 1.26645i 0.335969 + 0.941873i \(0.390936\pi\)
−0.945859 + 0.324577i \(0.894778\pi\)
\(734\) 3.57224e8 + 2.67703e7i 0.903343 + 0.0676962i
\(735\) −2.25771e8 2.83107e8i −0.568598 0.712999i
\(736\) 6.96338e7 2.25747e8i 0.174657 0.566225i
\(737\) 5.55422e7 9.62020e7i 0.138746 0.240315i
\(738\) 2.13068e8 1.23015e8i 0.530089 0.306047i
\(739\) −2.17766e8 + 4.97037e7i −0.539581 + 0.123156i −0.483622 0.875277i \(-0.660679\pi\)
−0.0559596 + 0.998433i \(0.517822\pi\)
\(740\) −8.32255e7 1.25442e7i −0.205381 0.0309563i
\(741\) 4.15194e8 + 3.85243e8i 1.02046 + 0.946848i
\(742\) 1.46070e8 1.83166e8i 0.357560 0.448366i
\(743\) −2.50910e8 3.68017e8i −0.611718 0.897226i 0.387983 0.921667i \(-0.373172\pi\)
−0.999701 + 0.0244404i \(0.992220\pi\)
\(744\) −8.58123e8 + 7.96222e8i −2.08368 + 1.93337i
\(745\) 1.86305e7 + 2.48607e8i 0.0450564 + 0.601236i
\(746\) −7.71474e7 + 1.96568e8i −0.185825 + 0.473475i
\(747\) 1.99114e8 8.72374e8i 0.477682 2.09286i
\(748\) −7.28673e6 + 2.24766e6i −0.0174112 + 0.00537063i
\(749\) 1.57368e8 2.30816e8i 0.374515 0.549313i
\(750\) −1.07877e8 7.15716e8i −0.255708 1.69651i
\(751\) −2.74474e8 + 1.07723e8i −0.648009 + 0.254325i −0.666501 0.745504i \(-0.732209\pi\)
0.0184920 + 0.999829i \(0.494113\pi\)
\(752\) −1.64302e8 + 7.91234e7i −0.386356 + 0.186059i