Properties

Label 43.7.h.a.18.17
Level $43$
Weight $7$
Character 43.18
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 18.17
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.17

$q$-expansion

\(f(q)\) \(=\) \(q+(3.91090 - 8.12108i) q^{2} +(-30.1530 + 44.2263i) q^{3} +(-10.7533 - 13.4843i) q^{4} +(-104.403 - 112.520i) q^{5} +(241.240 + 417.840i) q^{6} +(148.599 + 85.7937i) q^{7} +(410.852 - 93.7743i) q^{8} +(-780.431 - 1988.50i) q^{9} +O(q^{10})\) \(q+(3.91090 - 8.12108i) q^{2} +(-30.1530 + 44.2263i) q^{3} +(-10.7533 - 13.4843i) q^{4} +(-104.403 - 112.520i) q^{5} +(241.240 + 417.840i) q^{6} +(148.599 + 85.7937i) q^{7} +(410.852 - 93.7743i) q^{8} +(-780.431 - 1988.50i) q^{9} +(-1322.10 + 407.813i) q^{10} +(1378.83 - 1729.00i) q^{11} +(920.605 - 68.9898i) q^{12} +(-1260.07 - 388.679i) q^{13} +(1277.89 - 871.253i) q^{14} +(8124.43 - 1224.56i) q^{15} +(1090.88 - 4779.44i) q^{16} +(3903.64 + 3622.04i) q^{17} +(-19201.0 - 1438.91i) q^{18} +(-5127.30 - 2012.32i) q^{19} +(-394.566 + 2617.77i) q^{20} +(-8275.05 + 3985.05i) q^{21} +(-8648.86 - 17959.5i) q^{22} +(-7171.21 - 1080.89i) q^{23} +(-8241.13 + 20998.0i) q^{24} +(-593.049 + 7913.69i) q^{25} +(-8084.48 + 8713.00i) q^{26} +(73433.5 + 16760.7i) q^{27} +(-441.072 - 2926.32i) q^{28} +(-17953.4 - 26332.8i) q^{29} +(21829.1 - 70768.3i) q^{30} +(-1756.55 - 23439.6i) q^{31} +(-13461.3 - 10735.0i) q^{32} +(34891.4 + 113115. i) q^{33} +(44681.6 - 17536.3i) q^{34} +(-5860.74 - 25677.6i) q^{35} +(-18421.3 + 31906.6i) q^{36} +(-2691.91 + 1554.18i) q^{37} +(-36394.6 + 33769.2i) q^{38} +(55184.6 - 44008.2i) q^{39} +(-53445.9 - 36438.8i) q^{40} +(30047.2 + 14470.0i) q^{41} +82787.4i q^{42} +(28381.4 - 74268.8i) q^{43} -38141.4 q^{44} +(-142267. + 295421. i) q^{45} +(-36823.8 + 54010.7i) q^{46} +(-5749.87 - 7210.11i) q^{47} +(178484. + 192360. i) q^{48} +(-44103.4 - 76389.3i) q^{49} +(61948.3 + 35765.9i) q^{50} +(-277896. + 63427.9i) q^{51} +(8308.87 + 21170.7i) q^{52} +(-55338.7 + 17069.7i) q^{53} +(423306. - 530810. i) q^{54} +(-338502. + 25367.2i) q^{55} +(69097.5 + 21313.8i) q^{56} +(243601. - 166084. i) q^{57} +(-284064. + 42815.8i) q^{58} +(24269.4 - 106331. i) q^{59} +(-103877. - 96383.9i) q^{60} +(-27062.7 - 2028.07i) q^{61} +(-197224. - 77404.8i) q^{62} +(54629.9 - 362446. i) q^{63} +(142854. - 68794.7i) q^{64} +(87821.0 + 182362. i) q^{65} +(1.05507e6 + 159027. i) q^{66} +(-42390.0 + 108008. i) q^{67} +(6863.48 - 91586.8i) q^{68} +(264037. - 284564. i) q^{69} +(-231450. - 52827.0i) q^{70} +(56334.1 + 373753. i) q^{71} +(-507112. - 743797. i) q^{72} +(-120614. + 391019. i) q^{73} +(2093.77 + 27939.5i) q^{74} +(-332111. - 264850. i) q^{75} +(28001.0 + 90777.1i) q^{76} +(353230. - 138633. i) q^{77} +(-141573. - 620270. i) q^{78} +(-180463. + 312571. i) q^{79} +(-651674. + 376244. i) q^{80} +(-1.81395e6 + 1.68310e6i) q^{81} +(235023. - 187425. i) q^{82} +(-133459. - 90991.1i) q^{83} +(142720. + 68730.3i) q^{84} -817392. i q^{85} +(-492146. - 520946. i) q^{86} +1.70595e6 q^{87} +(404360. - 839662. i) q^{88} +(-17269.8 + 25330.1i) q^{89} +(1.84274e6 + 2.31073e6i) q^{90} +(-153898. - 165863. i) q^{91} +(62539.5 + 108322. i) q^{92} +(1.08961e6 + 629087. i) q^{93} +(-81041.1 + 18497.1i) q^{94} +(308882. + 787018. i) q^{95} +(880669. - 271650. i) q^{96} +(228403. - 286408. i) q^{97} +(-792847. + 59415.7i) q^{98} +(-4.51421e6 - 1.39245e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.91090 8.12108i 0.488863 1.01513i −0.499961 0.866048i \(-0.666652\pi\)
0.988824 0.149087i \(-0.0476333\pi\)
\(3\) −30.1530 + 44.2263i −1.11678 + 1.63801i −0.449302 + 0.893380i \(0.648327\pi\)
−0.667475 + 0.744632i \(0.732625\pi\)
\(4\) −10.7533 13.4843i −0.168021 0.210692i
\(5\) −104.403 112.520i −0.835228 0.900162i 0.160999 0.986955i \(-0.448529\pi\)
−0.996226 + 0.0867931i \(0.972338\pi\)
\(6\) 241.240 + 417.840i 1.11685 + 1.93444i
\(7\) 148.599 + 85.7937i 0.433233 + 0.250127i 0.700723 0.713433i \(-0.252861\pi\)
−0.267490 + 0.963561i \(0.586194\pi\)
\(8\) 410.852 93.7743i 0.802445 0.183153i
\(9\) −780.431 1988.50i −1.07055 2.72772i
\(10\) −1322.10 + 407.813i −1.32210 + 0.407813i
\(11\) 1378.83 1729.00i 1.03594 1.29902i 0.0827727 0.996568i \(-0.473622\pi\)
0.953164 0.302455i \(-0.0978061\pi\)
\(12\) 920.605 68.9898i 0.532758 0.0399247i
\(13\) −1260.07 388.679i −0.573539 0.176913i −0.00560050 0.999984i \(-0.501783\pi\)
−0.567939 + 0.823071i \(0.692259\pi\)
\(14\) 1277.89 871.253i 0.465705 0.317512i
\(15\) 8124.43 1224.56i 2.40724 0.362833i
\(16\) 1090.88 4779.44i 0.266327 1.16685i
\(17\) 3903.64 + 3622.04i 0.794552 + 0.737237i 0.968901 0.247447i \(-0.0795916\pi\)
−0.174349 + 0.984684i \(0.555782\pi\)
\(18\) −19201.0 1438.91i −3.29235 0.246728i
\(19\) −5127.30 2012.32i −0.747529 0.293384i −0.0391670 0.999233i \(-0.512470\pi\)
−0.708362 + 0.705849i \(0.750566\pi\)
\(20\) −394.566 + 2617.77i −0.0493207 + 0.327222i
\(21\) −8275.05 + 3985.05i −0.893537 + 0.430305i
\(22\) −8648.86 17959.5i −0.812252 1.68666i
\(23\) −7171.21 1080.89i −0.589398 0.0888375i −0.152430 0.988314i \(-0.548710\pi\)
−0.436968 + 0.899477i \(0.643948\pi\)
\(24\) −8241.13 + 20998.0i −0.596146 + 1.51896i
\(25\) −593.049 + 7913.69i −0.0379551 + 0.506476i
\(26\) −8084.48 + 8713.00i −0.459973 + 0.495733i
\(27\) 73433.5 + 16760.7i 3.73081 + 0.851533i
\(28\) −441.072 2926.32i −0.0200926 0.133305i
\(29\) −17953.4 26332.8i −0.736126 1.07970i −0.993549 0.113400i \(-0.963826\pi\)
0.257423 0.966299i \(-0.417127\pi\)
\(30\) 21829.1 70768.3i 0.808486 2.62105i
\(31\) −1756.55 23439.6i −0.0589625 0.786800i −0.945806 0.324731i \(-0.894726\pi\)
0.886844 0.462069i \(-0.152893\pi\)
\(32\) −13461.3 10735.0i −0.410806 0.327607i
\(33\) 34891.4 + 113115.i 0.970905 + 3.14760i
\(34\) 44681.6 17536.3i 1.13682 0.446170i
\(35\) −5860.74 25677.6i −0.136694 0.598894i
\(36\) −18421.3 + 31906.6i −0.394832 + 0.683870i
\(37\) −2691.91 + 1554.18i −0.0531442 + 0.0306828i −0.526337 0.850276i \(-0.676435\pi\)
0.473192 + 0.880959i \(0.343102\pi\)
\(38\) −36394.6 + 33769.2i −0.663263 + 0.615418i
\(39\) 55184.6 44008.2i 0.930302 0.741891i
\(40\) −53445.9 36438.8i −0.835092 0.569356i
\(41\) 30047.2 + 14470.0i 0.435965 + 0.209950i 0.638976 0.769227i \(-0.279358\pi\)
−0.203011 + 0.979177i \(0.565073\pi\)
\(42\) 82787.4i 1.11742i
\(43\) 28381.4 74268.8i 0.356967 0.934117i
\(44\) −38141.4 −0.447753
\(45\) −142267. + 295421.i −1.56123 + 3.24193i
\(46\) −36823.8 + 54010.7i −0.378317 + 0.554889i
\(47\) −5749.87 7210.11i −0.0553815 0.0694462i 0.753369 0.657598i \(-0.228427\pi\)
−0.808751 + 0.588151i \(0.799856\pi\)
\(48\) 178484. + 192360.i 1.61389 + 1.73936i
\(49\) −44103.4 76389.3i −0.374872 0.649298i
\(50\) 61948.3 + 35765.9i 0.495586 + 0.286127i
\(51\) −277896. + 63427.9i −2.09494 + 0.478157i
\(52\) 8308.87 + 21170.7i 0.0590925 + 0.150565i
\(53\) −55338.7 + 17069.7i −0.371707 + 0.114656i −0.474980 0.879997i \(-0.657545\pi\)
0.103273 + 0.994653i \(0.467069\pi\)
\(54\) 423306. 530810.i 2.68827 3.37099i
\(55\) −338502. + 25367.2i −2.03457 + 0.152470i
\(56\) 69097.5 + 21313.8i 0.393458 + 0.121366i
\(57\) 243601. 166084.i 1.31539 0.896817i
\(58\) −284064. + 42815.8i −1.45590 + 0.219442i
\(59\) 24269.4 106331.i 0.118169 0.517732i −0.880848 0.473400i \(-0.843027\pi\)
0.999017 0.0443327i \(-0.0141162\pi\)
\(60\) −103877. 96383.9i −0.480913 0.446222i
\(61\) −27062.7 2028.07i −0.119229 0.00893496i 0.0149820 0.999888i \(-0.495231\pi\)
−0.134211 + 0.990953i \(0.542850\pi\)
\(62\) −197224. 77404.8i −0.827533 0.324783i
\(63\) 54629.9 362446.i 0.218479 1.44951i
\(64\) 142854. 68794.7i 0.544943 0.262431i
\(65\) 87821.0 + 182362.i 0.319785 + 0.664041i
\(66\) 1.05507e6 + 159027.i 3.66987 + 0.553144i
\(67\) −42390.0 + 108008.i −0.140941 + 0.359113i −0.983863 0.178924i \(-0.942739\pi\)
0.842922 + 0.538037i \(0.180834\pi\)
\(68\) 6863.48 91586.8i 0.0218282 0.291277i
\(69\) 264037. 284564.i 0.803743 0.866229i
\(70\) −231450. 52827.0i −0.674782 0.154015i
\(71\) 56334.1 + 373753.i 0.157397 + 1.04426i 0.918440 + 0.395560i \(0.129449\pi\)
−0.761043 + 0.648701i \(0.775312\pi\)
\(72\) −507112. 743797.i −1.35865 1.99277i
\(73\) −120614. + 391019.i −0.310047 + 1.00515i 0.657712 + 0.753269i \(0.271524\pi\)
−0.967759 + 0.251878i \(0.918952\pi\)
\(74\) 2093.77 + 27939.5i 0.00516696 + 0.0689482i
\(75\) −332111. 264850.i −0.787226 0.627792i
\(76\) 28001.0 + 90777.1i 0.0637872 + 0.206793i
\(77\) 353230. 138633.i 0.773724 0.303664i
\(78\) −141573. 620270.i −0.298329 1.30706i
\(79\) −180463. + 312571.i −0.366022 + 0.633969i −0.988940 0.148319i \(-0.952614\pi\)
0.622918 + 0.782287i \(0.285947\pi\)
\(80\) −651674. + 376244.i −1.27280 + 0.734852i
\(81\) −1.81395e6 + 1.68310e6i −3.41326 + 3.16704i
\(82\) 235023. 187425.i 0.426255 0.339927i
\(83\) −133459. 90991.1i −0.233407 0.159135i 0.440969 0.897522i \(-0.354635\pi\)
−0.674376 + 0.738388i \(0.735587\pi\)
\(84\) 142720. + 68730.3i 0.240795 + 0.115961i
\(85\) 817392.i 1.33099i
\(86\) −492146. 520946.i −0.773746 0.819025i
\(87\) 1.70595e6 2.59065
\(88\) 404360. 839662.i 0.593363 1.23213i
\(89\) −17269.8 + 25330.1i −0.0244972 + 0.0359308i −0.838292 0.545221i \(-0.816446\pi\)
0.813795 + 0.581152i \(0.197398\pi\)
\(90\) 1.84274e6 + 2.31073e6i 2.52777 + 3.16972i
\(91\) −153898. 165863.i −0.204225 0.220103i
\(92\) 62539.5 + 108322.i 0.0803140 + 0.139108i
\(93\) 1.08961e6 + 629087.i 1.35464 + 0.782099i
\(94\) −81041.1 + 18497.1i −0.0975712 + 0.0222700i
\(95\) 308882. + 787018.i 0.360265 + 0.917939i
\(96\) 880669. 271650.i 0.995403 0.307041i
\(97\) 228403. 286408.i 0.250257 0.313812i −0.640796 0.767711i \(-0.721396\pi\)
0.891053 + 0.453899i \(0.149967\pi\)
\(98\) −792847. + 59415.7i −0.842386 + 0.0631281i
\(99\) −4.51421e6 1.39245e6i −4.65239 1.43507i
\(100\) 113088. 77101.8i 0.113088 0.0771018i
\(101\) 1.44574e6 217911.i 1.40322 0.211502i 0.596586 0.802549i \(-0.296523\pi\)
0.806637 + 0.591047i \(0.201285\pi\)
\(102\) −571721. + 2.50487e6i −0.538746 + 2.36040i
\(103\) −1.19612e6 1.10983e6i −1.09462 1.01566i −0.999797 0.0201618i \(-0.993582\pi\)
−0.0948204 0.995494i \(-0.530228\pi\)
\(104\) −554148. 41527.7i −0.492636 0.0369180i
\(105\) 1.31234e6 + 515057.i 1.13365 + 0.444925i
\(106\) −77799.7 + 516167.i −0.0653221 + 0.433384i
\(107\) 1.35513e6 652596.i 1.10619 0.532713i 0.210590 0.977574i \(-0.432461\pi\)
0.895599 + 0.444862i \(0.146747\pi\)
\(108\) −563650. 1.17043e6i −0.447444 0.929126i
\(109\) 1.16454e6 + 175526.i 0.899236 + 0.135538i 0.582362 0.812930i \(-0.302129\pi\)
0.316874 + 0.948468i \(0.397367\pi\)
\(110\) −1.11784e6 + 2.84821e6i −0.839850 + 2.13990i
\(111\) 12433.7 165917.i 0.00909143 0.121317i
\(112\) 572149. 616630.i 0.407244 0.438905i
\(113\) 333707. + 76166.5i 0.231276 + 0.0527872i 0.336588 0.941652i \(-0.390727\pi\)
−0.105312 + 0.994439i \(0.533584\pi\)
\(114\) −396083. 2.62784e6i −0.267345 1.77372i
\(115\) 627077. + 919754.i 0.412314 + 0.604753i
\(116\) −162019. + 525254.i −0.103799 + 0.336508i
\(117\) 210504. + 2.80898e6i 0.131433 + 1.75385i
\(118\) −768609. 612945.i −0.467799 0.373058i
\(119\) 269328. + 873140.i 0.159823 + 0.518135i
\(120\) 3.22311e6 1.26498e6i 1.86522 0.732046i
\(121\) −694055. 3.04085e6i −0.391776 1.71648i
\(122\) −122310. + 211846.i −0.0673567 + 0.116665i
\(123\) −1.54597e6 + 892563.i −0.830777 + 0.479649i
\(124\) −297177. + 275740.i −0.155865 + 0.144622i
\(125\) −922753. + 735871.i −0.472450 + 0.376766i
\(126\) −2.72980e6 1.86115e6i −1.36464 0.930398i
\(127\) 2.04180e6 + 983281.i 0.996789 + 0.480028i 0.859847 0.510551i \(-0.170559\pi\)
0.136941 + 0.990579i \(0.456273\pi\)
\(128\) 2.53110e6i 1.20692i
\(129\) 2.42885e6 + 3.49463e6i 1.13144 + 1.62792i
\(130\) 1.82444e6 0.830422
\(131\) 618059. 1.28341e6i 0.274926 0.570890i −0.717093 0.696978i \(-0.754528\pi\)
0.992019 + 0.126087i \(0.0402420\pi\)
\(132\) 1.15008e6 1.68685e6i 0.500040 0.733424i
\(133\) −589268. 738919.i −0.250471 0.314081i
\(134\) 711357. + 766661.i 0.295647 + 0.318632i
\(135\) −5.78079e6 1.00126e7i −2.34956 4.06955i
\(136\) 1.94347e6 + 1.12206e6i 0.772612 + 0.446068i
\(137\) −2.35892e6 + 538409.i −0.917386 + 0.209387i −0.655047 0.755588i \(-0.727351\pi\)
−0.262339 + 0.964976i \(0.584494\pi\)
\(138\) −1.27834e6 3.25717e6i −0.486419 1.23937i
\(139\) 1.60964e6 496508.i 0.599356 0.184877i 0.0197925 0.999804i \(-0.493699\pi\)
0.579563 + 0.814927i \(0.303223\pi\)
\(140\) −283221. + 355148.i −0.103215 + 0.129427i
\(141\) 492253. 36889.2i 0.175603 0.0131596i
\(142\) 3.25559e6 + 1.00422e6i 1.13701 + 0.350721i
\(143\) −2.40944e6 + 1.64273e6i −0.823965 + 0.561770i
\(144\) −1.03553e7 + 1.56081e6i −3.46796 + 0.522712i
\(145\) −1.08857e6 + 4.76935e6i −0.357070 + 1.56443i
\(146\) 2.70379e6 + 2.50875e6i 0.868789 + 0.806119i
\(147\) 4.70827e6 + 352836.i 1.48221 + 0.111076i
\(148\) 49904.0 + 19585.9i 0.0153940 + 0.00604169i
\(149\) 97882.6 649409.i 0.0295901 0.196318i −0.969152 0.246465i \(-0.920731\pi\)
0.998742 + 0.0501473i \(0.0159691\pi\)
\(150\) −3.44972e6 + 1.66130e6i −1.02214 + 0.492236i
\(151\) 569763. + 1.18312e6i 0.165487 + 0.343637i 0.967177 0.254103i \(-0.0817801\pi\)
−0.801691 + 0.597739i \(0.796066\pi\)
\(152\) −2.29527e6 345956.i −0.653585 0.0985122i
\(153\) 4.15594e6 1.05892e7i 1.16036 2.95656i
\(154\) 255603. 3.41079e6i 0.0699849 0.933884i
\(155\) −2.45403e6 + 2.64482e6i −0.659000 + 0.710233i
\(156\) −1.18684e6 270888.i −0.312621 0.0713536i
\(157\) 509165. + 3.37809e6i 0.131571 + 0.872915i 0.953080 + 0.302719i \(0.0978944\pi\)
−0.821509 + 0.570195i \(0.806867\pi\)
\(158\) 1.83264e6 + 2.68799e6i 0.464629 + 0.681485i
\(159\) 913695. 2.96213e6i 0.227306 0.736907i
\(160\) 197499. + 2.63544e6i 0.0482175 + 0.643418i
\(161\) −972901. 775863.i −0.233126 0.185912i
\(162\) 6.57438e6 + 2.13136e7i 1.54636 + 5.01317i
\(163\) 3.89657e6 1.52929e6i 0.899745 0.353124i 0.130029 0.991510i \(-0.458493\pi\)
0.769716 + 0.638386i \(0.220398\pi\)
\(164\) −127991. 560765.i −0.0290167 0.127130i
\(165\) 9.08495e6 1.57356e7i 2.02242 3.50293i
\(166\) −1.26089e6 + 727976.i −0.275647 + 0.159145i
\(167\) −5.87466e6 + 5.45089e6i −1.26134 + 1.17036i −0.283971 + 0.958833i \(0.591652\pi\)
−0.977373 + 0.211523i \(0.932158\pi\)
\(168\) −3.02612e6 + 2.41325e6i −0.638203 + 0.508950i
\(169\) −2.55140e6 1.73952e6i −0.528590 0.360387i
\(170\) −6.63810e6 3.19674e6i −1.35113 0.650670i
\(171\) 1.17661e7i 2.35313i
\(172\) −1.30666e6 + 415937.i −0.256789 + 0.0817414i
\(173\) −661910. −0.127838 −0.0639191 0.997955i \(-0.520360\pi\)
−0.0639191 + 0.997955i \(0.520360\pi\)
\(174\) 6.67180e6 1.38541e7i 1.26647 2.62986i
\(175\) −767071. + 1.12509e6i −0.143127 + 0.209929i
\(176\) −6.75951e6 8.47616e6i −1.23987 1.55475i
\(177\) 3.97085e6 + 4.27956e6i 0.716083 + 0.771754i
\(178\) 138167. + 239313.i 0.0244988 + 0.0424333i
\(179\) 573316. + 331004.i 0.0999621 + 0.0577131i 0.549148 0.835725i \(-0.314952\pi\)
−0.449186 + 0.893438i \(0.648286\pi\)
\(180\) 5.51339e6 1.25839e6i 0.945368 0.215774i
\(181\) 395214. + 1.00699e6i 0.0666494 + 0.169820i 0.960318 0.278908i \(-0.0899725\pi\)
−0.893668 + 0.448728i \(0.851877\pi\)
\(182\) −1.94887e6 + 601146.i −0.323272 + 0.0997162i
\(183\) 905715. 1.13573e6i 0.147788 0.185320i
\(184\) −3.04766e6 + 228391.i −0.489231 + 0.0366628i
\(185\) 455922. + 140633.i 0.0720070 + 0.0222112i
\(186\) 9.37023e6 6.38851e6i 1.45617 0.992798i
\(187\) 1.16450e7 1.75520e6i 1.78079 0.268411i
\(188\) −35392.7 + 155066.i −0.00532648 + 0.0233369i
\(189\) 9.47419e6 + 8.79076e6i 1.40332 + 1.30209i
\(190\) 7.59944e6 + 569499.i 1.10795 + 0.0830295i
\(191\) 5.23260e6 + 2.05364e6i 0.750961 + 0.294731i 0.709782 0.704421i \(-0.248793\pi\)
0.0411790 + 0.999152i \(0.486889\pi\)
\(192\) −1.26493e6 + 8.39226e6i −0.178716 + 1.18570i
\(193\) −5.07686e6 + 2.44489e6i −0.706192 + 0.340084i −0.752271 0.658854i \(-0.771042\pi\)
0.0460790 + 0.998938i \(0.485327\pi\)
\(194\) −1.43268e6 2.97499e6i −0.196220 0.407456i
\(195\) −1.07133e7 1.61477e6i −1.44484 0.217774i
\(196\) −555795. + 1.41614e6i −0.0738153 + 0.188078i
\(197\) 583682. 7.78869e6i 0.0763445 1.01875i −0.819123 0.573618i \(-0.805539\pi\)
0.895467 0.445128i \(-0.146842\pi\)
\(198\) −2.89628e7 + 3.12145e7i −3.73117 + 4.02125i
\(199\) −1.67955e6 383347.i −0.213125 0.0486444i 0.114625 0.993409i \(-0.463433\pi\)
−0.327750 + 0.944764i \(0.606290\pi\)
\(200\) 498445. + 3.30697e6i 0.0623056 + 0.413371i
\(201\) −3.49861e6 5.13151e6i −0.430831 0.631913i
\(202\) 3.88449e6 1.25932e7i 0.471281 1.52786i
\(203\) −408669. 5.45331e6i −0.0488522 0.651887i
\(204\) 3.84359e6 + 3.06516e6i 0.452738 + 0.361046i
\(205\) −1.50887e6 4.89163e6i −0.175142 0.567795i
\(206\) −1.36910e7 + 5.37330e6i −1.56615 + 0.614667i
\(207\) 3.44728e6 + 1.51035e7i 0.388656 + 1.70281i
\(208\) −3.23224e6 + 5.59840e6i −0.359181 + 0.622120i
\(209\) −1.05490e7 + 6.09046e6i −1.15550 + 0.667131i
\(210\) 9.31526e6 8.64330e6i 1.00586 0.933301i
\(211\) −6.48903e6 + 5.17483e6i −0.690769 + 0.550870i −0.904737 0.425971i \(-0.859933\pi\)
0.213968 + 0.976841i \(0.431361\pi\)
\(212\) 825249. + 562645.i 0.0866118 + 0.0590509i
\(213\) −1.82283e7 8.77831e6i −1.88629 0.908389i
\(214\) 1.35573e7i 1.38335i
\(215\) −1.13199e7 + 4.56045e6i −1.13900 + 0.458873i
\(216\) 3.17420e7 3.14973
\(217\) 1.74995e6 3.63380e6i 0.171256 0.355616i
\(218\) 5.97985e6 8.77082e6i 0.577192 0.846586i
\(219\) −1.36565e7 1.71247e7i −1.30019 1.63039i
\(220\) 3.98209e6 + 4.29167e6i 0.373975 + 0.403050i
\(221\) −3.51102e6 6.08127e6i −0.325280 0.563401i
\(222\) −1.29879e6 749859.i −0.118708 0.0685363i
\(223\) 1.06526e7 2.43139e6i 0.960597 0.219250i 0.286655 0.958034i \(-0.407457\pi\)
0.673942 + 0.738784i \(0.264600\pi\)
\(224\) −1.07934e6 2.75011e6i −0.0960314 0.244684i
\(225\) 1.61992e7 4.99680e6i 1.42216 0.438677i
\(226\) 1.92365e6 2.41218e6i 0.166648 0.208970i
\(227\) 9.56945e6 717131.i 0.818106 0.0613086i 0.340899 0.940100i \(-0.389268\pi\)
0.477206 + 0.878791i \(0.341649\pi\)
\(228\) −4.85905e6 1.49882e6i −0.409965 0.126458i
\(229\) −1.05651e7 + 7.20317e6i −0.879766 + 0.599814i −0.916732 0.399502i \(-0.869183\pi\)
0.0369661 + 0.999317i \(0.488231\pi\)
\(230\) 9.92183e6 1.49547e6i 0.815470 0.122912i
\(231\) −4.51974e6 + 1.98023e7i −0.366672 + 1.60649i
\(232\) −9.84552e6 9.13531e6i −0.788451 0.731576i
\(233\) 2.31045e7 + 1.73144e6i 1.82654 + 0.136880i 0.943277 0.332006i \(-0.107725\pi\)
0.883259 + 0.468886i \(0.155344\pi\)
\(234\) 2.36352e7 + 9.27614e6i 1.84464 + 0.723969i
\(235\) −210977. + 1.39974e6i −0.0162566 + 0.107856i
\(236\) −1.69478e6 + 816162.i −0.128937 + 0.0620927i
\(237\) −8.38237e6 1.74062e7i −0.629683 1.30755i
\(238\) 8.14415e6 + 1.22753e6i 0.604108 + 0.0910547i
\(239\) −7.84750e6 + 1.99951e7i −0.574828 + 1.46464i 0.287247 + 0.957857i \(0.407260\pi\)
−0.862075 + 0.506781i \(0.830835\pi\)
\(240\) 3.01003e6 4.01661e7i 0.217739 2.90553i
\(241\) 1.02807e7 1.10800e7i 0.734468 0.791568i −0.249791 0.968300i \(-0.580362\pi\)
0.984259 + 0.176732i \(0.0565525\pi\)
\(242\) −2.74094e7 6.25602e6i −1.93399 0.441420i
\(243\) −1.15574e7 7.66782e7i −0.805453 5.34383i
\(244\) 263667. + 386729.i 0.0181504 + 0.0266218i
\(245\) −3.99079e6 + 1.29378e7i −0.271369 + 0.879758i
\(246\) 1.20245e6 + 1.60456e7i 0.0807724 + 1.07783i
\(247\) 5.67859e6 + 4.52853e6i 0.376834 + 0.300515i
\(248\) −2.91971e6 9.46547e6i −0.191419 0.620565i
\(249\) 8.04840e6 3.15876e6i 0.521328 0.204606i
\(250\) 2.36727e6 + 1.03717e7i 0.151505 + 0.663787i
\(251\) −6.84377e6 + 1.18538e7i −0.432787 + 0.749609i −0.997112 0.0759434i \(-0.975803\pi\)
0.564325 + 0.825553i \(0.309136\pi\)
\(252\) −5.47478e6 + 3.16086e6i −0.342109 + 0.197517i
\(253\) −1.17567e7 + 1.09087e7i −0.725981 + 0.673612i
\(254\) 1.59706e7 1.27361e7i 0.974586 0.777206i
\(255\) 3.61502e7 + 2.46468e7i 2.18017 + 1.48642i
\(256\) −1.14126e7 5.49604e6i −0.680247 0.327590i
\(257\) 3.29503e7i 1.94115i 0.240791 + 0.970577i \(0.422593\pi\)
−0.240791 + 0.970577i \(0.577407\pi\)
\(258\) 3.78792e7 6.05774e6i 2.20567 0.352738i
\(259\) −533355. −0.0306985
\(260\) 1.51465e6 3.14521e6i 0.0861773 0.178949i
\(261\) −3.83515e7 + 5.62513e7i −2.15705 + 3.16381i
\(262\) −8.00552e6 1.00386e7i −0.445129 0.558174i
\(263\) −9.16265e6 9.87499e6i −0.503679 0.542837i 0.429114 0.903251i \(-0.358826\pi\)
−0.932793 + 0.360414i \(0.882636\pi\)
\(264\) 2.49425e7 + 4.32017e7i 1.35559 + 2.34795i
\(265\) 7.69824e6 + 4.44458e6i 0.413670 + 0.238832i
\(266\) −8.30539e6 + 1.89565e6i −0.441281 + 0.100719i
\(267\) −599523. 1.52756e6i −0.0314972 0.0802535i
\(268\) 1.91224e6 589849.i 0.0993433 0.0306433i
\(269\) −1.33842e6 + 1.67832e6i −0.0687598 + 0.0862221i −0.815022 0.579430i \(-0.803275\pi\)
0.746262 + 0.665652i \(0.231847\pi\)
\(270\) −1.03921e8 + 7.78784e6i −5.27976 + 0.395663i
\(271\) −7.42937e6 2.29166e6i −0.373288 0.115144i 0.102434 0.994740i \(-0.467337\pi\)
−0.475722 + 0.879596i \(0.657813\pi\)
\(272\) 2.15697e7 1.47060e7i 1.07186 0.730781i
\(273\) 1.19760e7 1.80509e6i 0.588605 0.0887180i
\(274\) −4.85306e6 + 2.12627e7i −0.235920 + 1.03363i
\(275\) 1.28651e7 + 1.19370e7i 0.618605 + 0.573982i
\(276\) −6.67642e6 500329.i −0.317553 0.0237973i
\(277\) −1.73964e6 682759.i −0.0818503 0.0321239i 0.324063 0.946036i \(-0.394951\pi\)
−0.405913 + 0.913912i \(0.633046\pi\)
\(278\) 2.26297e6 1.50138e7i 0.105328 0.698806i
\(279\) −4.52388e7 + 2.17859e7i −2.08304 + 1.00314i
\(280\) −4.81579e6 1.00001e7i −0.219378 0.455544i
\(281\) 3.02841e7 + 4.56459e6i 1.36488 + 0.205723i 0.790298 0.612722i \(-0.209925\pi\)
0.574585 + 0.818445i \(0.305164\pi\)
\(282\) 1.62557e6 4.14189e6i 0.0724868 0.184693i
\(283\) 2.92290e6 3.90035e7i 0.128960 1.72085i −0.439585 0.898201i \(-0.644874\pi\)
0.568545 0.822652i \(-0.307506\pi\)
\(284\) 4.43400e6 4.77872e6i 0.193571 0.208620i
\(285\) −4.41206e7 1.00702e7i −1.90593 0.435016i
\(286\) 3.91764e6 + 2.59918e7i 0.167466 + 1.11106i
\(287\) 3.22355e6 + 4.72808e6i 0.136361 + 0.200004i
\(288\) −1.08410e7 + 3.51458e7i −0.453830 + 1.47128i
\(289\) 315362. + 4.20821e6i 0.0130652 + 0.174343i
\(290\) 3.44749e7 + 2.74929e7i 1.41354 + 1.12726i
\(291\) 5.77974e6 + 1.87375e7i 0.234547 + 0.760382i
\(292\) 6.56961e6 2.57838e6i 0.263871 0.103562i
\(293\) 5.04104e6 + 2.20862e7i 0.200409 + 0.878049i 0.970688 + 0.240342i \(0.0772597\pi\)
−0.770279 + 0.637707i \(0.779883\pi\)
\(294\) 2.12790e7 3.68563e7i 0.837353 1.45034i
\(295\) −1.44982e7 + 8.37056e6i −0.564741 + 0.326053i
\(296\) −960237. + 890969.i −0.0370257 + 0.0343548i
\(297\) 1.30232e8 1.03856e8i 4.97104 3.96427i
\(298\) −4.89109e6 3.33469e6i −0.184823 0.126010i
\(299\) 8.61607e6 + 4.14928e6i 0.322326 + 0.155224i
\(300\) 7.32630e6i 0.271344i
\(301\) 1.05892e7 8.60134e6i 0.388298 0.315404i
\(302\) 1.18365e7 0.429738
\(303\) −3.39561e7 + 7.05105e7i −1.22065 + 2.53470i
\(304\) −1.52110e7 + 2.23104e7i −0.541423 + 0.794122i
\(305\) 2.59724e6 + 3.25683e6i 0.0915403 + 0.114788i
\(306\) −6.97418e7 7.51638e7i −2.43405 2.62328i
\(307\) −1.60185e7 2.77449e7i −0.553615 0.958889i −0.998010 0.0630582i \(-0.979915\pi\)
0.444395 0.895831i \(-0.353419\pi\)
\(308\) −5.66777e6 3.27229e6i −0.193981 0.111995i
\(309\) 8.51504e7 1.94350e7i 2.88610 0.658734i
\(310\) 1.18813e7 + 3.02730e7i 0.398821 + 1.01618i
\(311\) 4.46103e7 1.37605e7i 1.48305 0.457459i 0.555610 0.831443i \(-0.312485\pi\)
0.927435 + 0.373984i \(0.122009\pi\)
\(312\) 1.85459e7 2.32558e7i 0.610637 0.765714i
\(313\) 1.75819e7 1.31758e6i 0.573367 0.0429679i 0.215108 0.976590i \(-0.430990\pi\)
0.358259 + 0.933622i \(0.383371\pi\)
\(314\) 2.94250e7 + 9.07641e6i 0.950446 + 0.293174i
\(315\) −4.64861e7 + 3.16937e7i −1.48727 + 1.01401i
\(316\) 6.15538e6 927774.i 0.195071 0.0294023i
\(317\) 1.19155e7 5.22051e7i 0.374053 1.63883i −0.341216 0.939985i \(-0.610839\pi\)
0.715269 0.698849i \(-0.246304\pi\)
\(318\) −2.04823e7 1.90048e7i −0.636938 0.590992i
\(319\) −7.02840e7 5.26706e6i −2.16513 0.162254i
\(320\) −2.26552e7 8.89151e6i −0.691382 0.271347i
\(321\) −1.19993e7 + 7.96101e7i −0.362778 + 2.40687i
\(322\) −1.01058e7 + 4.86668e6i −0.302692 + 0.145769i
\(323\) −1.27264e7 2.64267e7i −0.377658 0.784215i
\(324\) 4.22013e7 + 6.36083e6i 1.24077 + 0.187016i
\(325\) 3.82316e6 9.74126e6i 0.111371 0.283769i
\(326\) 2.81962e6 3.76252e7i 0.0813838 1.08599i
\(327\) −4.28771e7 + 4.62105e7i −1.22626 + 1.32159i
\(328\) 1.37019e7 + 3.12736e6i 0.388291 + 0.0886250i
\(329\) −235844. 1.56472e6i −0.00662272 0.0439389i
\(330\) −9.22596e7 1.35320e8i −2.56726 3.76548i
\(331\) 5.04972e6 1.63708e7i 0.139246 0.451425i −0.858910 0.512127i \(-0.828858\pi\)
0.998156 + 0.0607021i \(0.0193340\pi\)
\(332\) 208187. + 2.77806e6i 0.00568904 + 0.0759150i
\(333\) 5.19134e6 + 4.13996e6i 0.140588 + 0.112115i
\(334\) 2.12919e7 + 6.90265e7i 0.571444 + 1.85258i
\(335\) 1.65787e7 6.50667e6i 0.440978 0.173071i
\(336\) 1.00193e7 + 4.38973e7i 0.264130 + 1.15723i
\(337\) −1.07783e7 + 1.86686e7i −0.281619 + 0.487779i −0.971784 0.235874i \(-0.924205\pi\)
0.690164 + 0.723653i \(0.257538\pi\)
\(338\) −2.41050e7 + 1.39171e7i −0.624249 + 0.360410i
\(339\) −1.34308e7 + 1.24620e7i −0.344750 + 0.319881i
\(340\) −1.10219e7 + 8.78970e6i −0.280428 + 0.223634i
\(341\) −4.29490e7 2.92821e7i −1.08315 0.738481i
\(342\) 9.55537e7 + 4.60162e7i 2.38874 + 1.15036i
\(343\) 3.53223e7i 0.875319i
\(344\) 4.69603e6 3.31749e7i 0.115360 0.814957i
\(345\) −5.95856e7 −1.45105
\(346\) −2.58867e6 + 5.37542e6i −0.0624954 + 0.129773i
\(347\) 9.20752e6 1.35049e7i 0.220371 0.323225i −0.700094 0.714051i \(-0.746858\pi\)
0.920464 + 0.390826i \(0.127811\pi\)
\(348\) −1.83447e7 2.30035e7i −0.435283 0.545828i
\(349\) 3.30994e7 + 3.56726e7i 0.778652 + 0.839187i 0.990414 0.138134i \(-0.0441105\pi\)
−0.211762 + 0.977321i \(0.567920\pi\)
\(350\) 6.13697e6 + 1.06296e7i 0.143136 + 0.247920i
\(351\) −8.60165e7 4.96616e7i −1.98912 1.14842i
\(352\) −3.71217e7 + 8.47279e6i −0.851138 + 0.194267i
\(353\) 9.88601e6 + 2.51891e7i 0.224749 + 0.572650i 0.998119 0.0613042i \(-0.0195260\pi\)
−0.773371 + 0.633954i \(0.781431\pi\)
\(354\) 5.02842e7 1.55106e7i 1.13350 0.349639i
\(355\) 3.61732e7 4.53598e7i 0.808541 1.01388i
\(356\) 527267. 39513.2i 0.0116864 0.000875774i
\(357\) −4.67368e7 1.44164e7i −1.02720 0.316849i
\(358\) 4.93030e6 3.36142e6i 0.107454 0.0732611i
\(359\) −6.62872e6 + 999119.i −0.143267 + 0.0215940i −0.220284 0.975436i \(-0.570698\pi\)
0.0770171 + 0.997030i \(0.475460\pi\)
\(360\) −3.07479e7 + 1.34715e8i −0.659034 + 2.88742i
\(361\) −1.22473e7 1.13638e7i −0.260326 0.241547i
\(362\) 9.72347e6 + 728673.i 0.204972 + 0.0153606i
\(363\) 1.55414e8 + 6.09954e7i 3.24915 + 1.27520i
\(364\) −581619. + 3.85879e6i −0.0120596 + 0.0800105i
\(365\) 5.65901e7 2.72523e7i 1.16375 0.560435i
\(366\) −5.68119e6 1.17971e7i −0.115877 0.240620i
\(367\) −5.42843e7 8.18204e6i −1.09819 0.165525i −0.425142 0.905127i \(-0.639776\pi\)
−0.673045 + 0.739602i \(0.735014\pi\)
\(368\) −1.29889e7 + 3.30952e7i −0.260633 + 0.664082i
\(369\) 5.32384e6 7.10417e7i 0.105961 1.41395i
\(370\) 2.92516e6 3.15257e6i 0.0577490 0.0622386i
\(371\) −9.68775e6 2.21117e6i −0.189715 0.0433012i
\(372\) −3.23418e6 2.14574e7i −0.0628255 0.416820i
\(373\) 1.49641e7 + 2.19482e7i 0.288352 + 0.422935i 0.942895 0.333090i \(-0.108091\pi\)
−0.654543 + 0.756025i \(0.727139\pi\)
\(374\) 3.12883e7 1.01434e8i 0.598090 1.93896i
\(375\) −4.72110e6 6.29987e7i −0.0895260 1.19464i
\(376\) −3.03847e6 2.42310e6i −0.0571599 0.0455835i
\(377\) 1.23874e7 + 4.01591e7i 0.231184 + 0.749480i
\(378\) 1.08443e8 4.25608e7i 2.00783 0.788014i
\(379\) −1.49987e7 6.57134e7i −0.275508 1.20708i −0.903406 0.428786i \(-0.858942\pi\)
0.627898 0.778296i \(-0.283916\pi\)
\(380\) 7.29085e6 1.26281e7i 0.132870 0.230138i
\(381\) −1.05053e8 + 6.06526e7i −1.89948 + 1.09667i
\(382\) 3.71420e7 3.44627e7i 0.666308 0.618244i
\(383\) 2.88562e7 2.30120e7i 0.513621 0.409599i −0.332084 0.943250i \(-0.607752\pi\)
0.845705 + 0.533651i \(0.179180\pi\)
\(384\) 1.11941e8 + 7.63203e7i 1.97696 + 1.34787i
\(385\) −5.24775e7 2.52718e7i −0.919582 0.442848i
\(386\) 5.07912e7i 0.883135i
\(387\) −1.69834e8 + 1.52520e6i −2.93016 + 0.0263143i
\(388\) −6.31810e6 −0.108166
\(389\) −4.64893e7 + 9.65359e7i −0.789776 + 1.63999i −0.0215832 + 0.999767i \(0.506871\pi\)
−0.768192 + 0.640219i \(0.778844\pi\)
\(390\) −5.50122e7 + 8.06881e7i −0.927396 + 1.36024i
\(391\) −2.40788e7 3.01938e7i −0.402813 0.505112i
\(392\) −2.52833e7 2.72489e7i −0.419736 0.452367i
\(393\) 3.81243e7 + 6.60332e7i 0.628093 + 1.08789i
\(394\) −6.09698e7 3.52010e7i −0.996842 0.575527i
\(395\) 5.40115e7 1.23278e7i 0.876386 0.200029i
\(396\) 2.97667e7 + 7.58443e7i 0.479341 + 1.22134i
\(397\) −7.05933e7 + 2.17752e7i −1.12822 + 0.348009i −0.802022 0.597294i \(-0.796242\pi\)
−0.326194 + 0.945303i \(0.605766\pi\)
\(398\) −9.68177e6 + 1.21406e7i −0.153570 + 0.192570i
\(399\) 5.04479e7 3.78055e6i 0.794189 0.0595163i
\(400\) 3.71760e7 + 1.14673e7i 0.580876 + 0.179176i
\(401\) 3.15424e7 2.15052e7i 0.489171 0.333511i −0.293487 0.955963i \(-0.594816\pi\)
0.782658 + 0.622452i \(0.213863\pi\)
\(402\) −5.53561e7 + 8.34359e6i −0.852094 + 0.128432i
\(403\) −6.89709e6 + 3.02181e7i −0.105378 + 0.461692i
\(404\) −1.84849e7 1.71515e7i −0.280333 0.260111i
\(405\) 3.78765e8 + 2.83845e7i 5.70170 + 0.427283i
\(406\) −4.58850e7 1.80085e7i −0.685635 0.269092i
\(407\) −1.02452e6 + 6.79727e6i −0.0151963 + 0.100821i
\(408\) −1.08226e8 + 5.21190e7i −1.59350 + 0.767389i
\(409\) 2.83412e7 + 5.88512e7i 0.414237 + 0.860171i 0.998807 + 0.0488285i \(0.0155488\pi\)
−0.584570 + 0.811343i \(0.698737\pi\)
\(410\) −4.56263e7 6.87706e6i −0.662009 0.0997818i
\(411\) 4.73167e7 1.20561e8i 0.681537 1.73653i
\(412\) −2.10305e6 + 2.80632e7i −0.0300717 + 0.401278i
\(413\) 1.27290e7 1.37186e7i 0.180694 0.194742i
\(414\) 1.36139e8 + 3.10728e7i 1.91859 + 0.437905i
\(415\) 3.69529e6 + 2.45167e7i 0.0517016 + 0.343018i
\(416\) 1.27896e7 + 1.87589e7i 0.177655 + 0.260572i
\(417\) −2.65767e7 + 8.61597e7i −0.366517 + 1.18822i
\(418\) 8.20501e6 + 1.09488e8i 0.112344 + 1.49913i
\(419\) −8.56138e7 6.82747e7i −1.16386 0.928149i −0.165548 0.986202i \(-0.552939\pi\)
−0.998314 + 0.0580527i \(0.981511\pi\)
\(420\) −7.16692e6 2.32346e7i −0.0967352 0.313608i
\(421\) 9.31756e7 3.65687e7i 1.24869 0.490076i 0.353367 0.935485i \(-0.385037\pi\)
0.895327 + 0.445409i \(0.146942\pi\)
\(422\) 1.66472e7 + 7.29362e7i 0.221516 + 0.970523i
\(423\) −9.84997e6 + 1.70606e7i −0.130141 + 0.225411i
\(424\) −2.11353e7 + 1.22025e7i −0.277275 + 0.160085i
\(425\) −3.09788e7 + 2.87441e7i −0.403550 + 0.374440i
\(426\) −1.42579e8 + 1.13703e8i −1.84427 + 1.47076i
\(427\) −3.84749e6 2.62318e6i −0.0494190 0.0336933i
\(428\) −2.33720e7 1.12553e7i −0.298101 0.143558i
\(429\) 1.56094e8i 1.97704i
\(430\) −7.23513e6 + 1.09765e8i −0.0909999 + 1.38057i
\(431\) 1.06533e8 1.33062 0.665309 0.746568i \(-0.268300\pi\)
0.665309 + 0.746568i \(0.268300\pi\)
\(432\) 1.60214e8 3.32687e8i 1.98723 4.12653i
\(433\) 2.61965e7 3.84232e7i 0.322686 0.473293i −0.630281 0.776367i \(-0.717060\pi\)
0.952967 + 0.303074i \(0.0980128\pi\)
\(434\) −2.26665e7 2.84229e7i −0.277278 0.347695i
\(435\) −1.78107e8 1.91954e8i −2.16378 2.33200i
\(436\) −1.01558e7 1.75904e7i −0.122534 0.212235i
\(437\) 3.45939e7 + 1.99728e7i 0.414529 + 0.239328i
\(438\) −1.92480e8 + 4.39323e7i −2.29068 + 0.522832i
\(439\) 8.66946e6 + 2.20894e7i 0.102470 + 0.261090i 0.972910 0.231185i \(-0.0742604\pi\)
−0.870439 + 0.492276i \(0.836165\pi\)
\(440\) −1.36696e8 + 4.21650e7i −1.60471 + 0.494987i
\(441\) −1.17481e8 + 1.47316e8i −1.36978 + 1.71765i
\(442\) −6.31178e7 + 4.73002e6i −0.730945 + 0.0547768i
\(443\) 3.40262e7 + 1.04957e7i 0.391384 + 0.120726i 0.484200 0.874957i \(-0.339111\pi\)
−0.0928163 + 0.995683i \(0.529587\pi\)
\(444\) −2.37097e6 + 1.61650e6i −0.0270880 + 0.0184683i
\(445\) 4.65318e6 701354.i 0.0528043 0.00795897i
\(446\) 2.19158e7 9.60195e7i 0.247032 1.08232i
\(447\) 2.57695e7 + 2.39106e7i 0.288525 + 0.267712i
\(448\) 2.71301e7 + 2.03312e6i 0.301729 + 0.0226115i
\(449\) −8.96140e7 3.51709e7i −0.990004 0.388548i −0.185596 0.982626i \(-0.559422\pi\)
−0.804407 + 0.594078i \(0.797517\pi\)
\(450\) 2.27742e7 1.51097e8i 0.249923 1.65813i
\(451\) 6.64485e7 3.19999e7i 0.724362 0.348834i
\(452\) −2.56142e6 5.31884e6i −0.0277374 0.0575973i
\(453\) −6.95053e7 1.04762e7i −0.747693 0.112697i
\(454\) 3.16013e7 8.05189e7i 0.337705 0.860459i
\(455\) −2.59541e6 + 3.46333e7i −0.0275532 + 0.367672i
\(456\) 8.45095e7 9.10796e7i 0.891274 0.960564i
\(457\) 1.21973e8 + 2.78395e7i 1.27795 + 0.291684i 0.807040 0.590496i \(-0.201068\pi\)
0.470912 + 0.882180i \(0.343925\pi\)
\(458\) 1.71783e7 + 1.13971e8i 0.178807 + 1.18631i
\(459\) 2.25950e8 + 3.31407e8i 2.33654 + 3.42708i
\(460\) 5.65903e6 1.83461e7i 0.0581391 0.188482i
\(461\) 4.58071e6 + 6.11253e7i 0.0467552 + 0.623905i 0.970532 + 0.240973i \(0.0774665\pi\)
−0.923777 + 0.382932i \(0.874914\pi\)
\(462\) 1.43139e8 + 1.14150e8i 1.45156 + 1.15758i
\(463\) 4.07379e7 + 1.32069e8i 0.410446 + 1.33063i 0.891134 + 0.453741i \(0.149911\pi\)
−0.480688 + 0.876892i \(0.659613\pi\)
\(464\) −1.45441e8 + 5.70813e7i −1.45590 + 0.571399i
\(465\) −4.29742e7 1.88282e8i −0.427414 1.87262i
\(466\) 1.04421e8 1.80862e8i 1.03188 1.78726i
\(467\) 1.68776e8 9.74431e7i 1.65715 0.956755i 0.683126 0.730300i \(-0.260620\pi\)
0.974022 0.226454i \(-0.0727134\pi\)
\(468\) 3.56135e7 3.30445e7i 0.347437 0.322375i
\(469\) −1.55655e7 + 1.24131e7i −0.150885 + 0.120326i
\(470\) 1.05423e7 + 7.18760e6i 0.101541 + 0.0692293i
\(471\) −1.64753e8 7.93409e7i −1.57678 0.759337i
\(472\) 4.59623e7i 0.437095i
\(473\) −8.92777e7 1.51476e8i −0.843645 1.43139i
\(474\) −1.74140e8 −1.63517
\(475\) 1.89656e7 3.93825e7i 0.176964 0.367470i
\(476\) 8.87748e6 1.30209e7i 0.0823131 0.120731i
\(477\) 7.71312e7 + 9.67194e7i 0.710681 + 0.891166i
\(478\) 1.31691e8 + 1.41929e8i 1.20579 + 1.29953i
\(479\) −4.81120e7 8.33325e7i −0.437771 0.758242i 0.559746 0.828664i \(-0.310899\pi\)
−0.997517 + 0.0704223i \(0.977565\pi\)
\(480\) −1.22511e8 7.07318e7i −1.10777 0.639574i
\(481\) 3.99606e6 912075.i 0.0359085 0.00819588i
\(482\) −4.97745e7 1.26823e8i −0.444494 1.13255i
\(483\) 6.36495e7 1.96333e7i 0.564876 0.174241i
\(484\) −3.35403e7 + 4.20582e7i −0.295822 + 0.370949i
\(485\) −5.60727e7 + 4.20207e6i −0.491503 + 0.0368331i
\(486\) −6.67909e8 2.06023e8i −5.81846 1.79476i
\(487\) −5.01000e7 + 3.41576e7i −0.433762 + 0.295734i −0.760448 0.649399i \(-0.775020\pi\)
0.326686 + 0.945133i \(0.394068\pi\)
\(488\) −1.13089e7 + 1.70455e6i −0.0973111 + 0.0146673i
\(489\) −4.98583e7 + 2.18444e8i −0.426394 + 1.86815i
\(490\) 8.94615e7 + 8.30081e7i 0.760410 + 0.705557i
\(491\) 4.25047e7 + 3.18529e6i 0.359081 + 0.0269094i 0.253050 0.967453i \(-0.418566\pi\)
0.106032 + 0.994363i \(0.466185\pi\)
\(492\) 2.86599e7 + 1.12482e7i 0.240646 + 0.0944467i
\(493\) 2.52950e7 1.67821e8i 0.211103 1.40058i
\(494\) 5.89849e7 2.84056e7i 0.489283 0.235626i
\(495\) 3.14620e8 + 6.53316e8i 2.59401 + 5.38651i
\(496\) −1.13944e8 1.71743e7i −0.933785 0.140745i
\(497\) −2.36944e7 + 6.03724e7i −0.193009 + 0.491778i
\(498\) 5.82395e6 7.77153e7i 0.0471552 0.629243i
\(499\) −7.02309e7 + 7.56909e7i −0.565232 + 0.609175i −0.949393 0.314091i \(-0.898300\pi\)
0.384161 + 0.923266i \(0.374491\pi\)
\(500\) 1.98454e7 + 4.52958e6i 0.158763 + 0.0362366i
\(501\) −6.39342e7 4.24175e8i −0.508417 3.37312i
\(502\) 6.94999e7 + 1.01938e8i 0.549381 + 0.805793i
\(503\) 2.26293e7 7.33625e7i 0.177815 0.576461i −0.822159 0.569258i \(-0.807231\pi\)
0.999974 0.00720387i \(-0.00229308\pi\)
\(504\) −1.15433e7 1.54035e8i −0.0901650 1.20317i
\(505\) −1.75460e8 1.39925e8i −1.36240 1.08648i
\(506\) 4.26106e7 + 1.38140e8i 0.328901 + 1.06627i
\(507\) 1.53865e8 6.03875e7i 1.18063 0.463365i
\(508\) −8.69740e6 3.81058e7i −0.0663435 0.290670i
\(509\) 9.12785e7 1.58099e8i 0.692174 1.19888i −0.278951 0.960305i \(-0.589987\pi\)
0.971124 0.238574i \(-0.0766801\pi\)
\(510\) 3.41539e8 1.97187e8i 2.57472 1.48651i
\(511\) −5.14701e7 + 4.77573e7i −0.385738 + 0.357912i
\(512\) 3.73818e7 2.98110e7i 0.278516 0.222109i
\(513\) −3.42788e8 2.33709e8i −2.53906 1.73110i
\(514\) 2.67592e8 + 1.28865e8i 1.97053 + 0.948958i
\(515\) 2.50458e8i 1.83364i
\(516\) 2.10042e7 7.03303e7i 0.152883 0.511910i
\(517\) −2.03944e7 −0.147584
\(518\) −2.08590e6 + 4.33141e6i −0.0150073 + 0.0311631i
\(519\) 1.99586e7 2.92739e7i 0.142767 0.209401i
\(520\) 5.31823e7 + 6.66885e7i 0.378231 + 0.474287i
\(521\) 1.06241e8 + 1.14500e8i 0.751240 + 0.809644i 0.986753 0.162227i \(-0.0518678\pi\)
−0.235514 + 0.971871i \(0.575677\pi\)
\(522\) 3.06832e8 + 5.31449e8i 2.15719 + 3.73637i
\(523\) 3.19356e7 + 1.84380e7i 0.223239 + 0.128887i 0.607449 0.794359i \(-0.292193\pi\)
−0.384210 + 0.923246i \(0.625526\pi\)
\(524\) −2.39521e7 + 5.46691e6i −0.166475 + 0.0379969i
\(525\) −2.66290e7 6.78495e7i −0.184025 0.468887i
\(526\) −1.16030e8 + 3.57904e7i −0.797282 + 0.245929i
\(527\) 7.80422e7 9.78618e7i 0.533209 0.668623i
\(528\) 5.78689e8 4.33667e7i 3.93137 0.294615i
\(529\) −9.12012e7 2.81318e7i −0.616075 0.190034i
\(530\) 6.62018e7 4.51356e7i 0.444675 0.303174i
\(531\) −2.30381e8 + 3.47243e7i −1.53873 + 0.231927i
\(532\) −3.62718e6 + 1.58917e7i −0.0240898 + 0.105545i
\(533\) −3.22372e7 2.99118e7i −0.212900 0.197543i
\(534\) −1.47501e7 1.10537e6i −0.0968659 0.00725910i
\(535\) −2.14910e8 8.43461e7i −1.40345 0.550813i
\(536\) −7.28764e6 + 4.83503e7i −0.0473252 + 0.313982i
\(537\) −3.19263e7 + 1.53749e7i −0.206170 + 0.0992863i
\(538\) 8.39536e6 + 1.74331e7i 0.0539129 + 0.111951i
\(539\) −1.92888e8 2.90732e7i −1.23180 0.185664i
\(540\) −7.28501e7 + 1.85619e8i −0.462646 + 1.17880i
\(541\) −1.49695e7 + 1.99754e8i −0.0945400 + 1.26155i 0.725090 + 0.688654i \(0.241798\pi\)
−0.819630 + 0.572894i \(0.805821\pi\)
\(542\) −4.76663e7 + 5.13720e7i −0.299373 + 0.322648i
\(543\) −5.64522e7 1.28849e7i −0.352600 0.0804785i
\(544\) −1.36652e7 9.06630e7i −0.0848830 0.563162i
\(545\) −1.01831e8 1.49359e8i −0.629061 0.922663i
\(546\) 3.21777e7 1.04318e8i 0.197687 0.640884i
\(547\) −1.70459e7 2.27461e8i −0.104150 1.38978i −0.767298 0.641291i \(-0.778399\pi\)
0.663148 0.748488i \(-0.269220\pi\)
\(548\) 3.26264e7 + 2.60187e7i 0.198256 + 0.158104i
\(549\) 1.70877e7 + 5.53970e7i 0.103268 + 0.334788i
\(550\) 1.47255e8 5.77935e7i 0.885082 0.347369i
\(551\) 3.90625e7 + 1.71144e8i 0.233510 + 1.02307i
\(552\) 8.17953e7 1.41674e8i 0.486308 0.842309i
\(553\) −5.36333e7 + 3.09652e7i −0.317146 + 0.183104i
\(554\) −1.23483e7 + 1.14576e7i −0.0726237 + 0.0673849i
\(555\) −1.99671e7 + 1.59232e7i −0.116798 + 0.0931434i
\(556\) −2.40041e7 1.63657e7i −0.139656 0.0952161i
\(557\) 2.36859e8 + 1.14065e8i 1.37064 + 0.660066i 0.966982 0.254844i \(-0.0820240\pi\)
0.403659 + 0.914910i \(0.367738\pi\)
\(558\) 4.52590e8i 2.60497i
\(559\) −6.46291e7 + 8.25524e7i −0.369992 + 0.472600i
\(560\) −1.29118e8 −0.735227
\(561\) −2.73505e8 + 5.67939e8i −1.54909 + 3.21672i
\(562\) 1.55508e8 2.28088e8i 0.876077 1.28497i
\(563\) 1.09347e7 + 1.37117e7i 0.0612750 + 0.0768364i 0.811524 0.584318i \(-0.198638\pi\)
−0.750250 + 0.661155i \(0.770067\pi\)
\(564\) −5.79079e6 6.24099e6i −0.0322775 0.0347869i
\(565\) −2.62699e7 4.55008e7i −0.145651 0.252275i
\(566\) −3.05319e8 1.76276e8i −1.68385 0.972173i
\(567\) −4.13950e8 + 9.44814e7i −2.27090 + 0.518319i
\(568\) 5.81934e7 + 1.48274e8i 0.317562 + 0.809135i
\(569\) 1.13094e8 3.48847e7i 0.613905 0.189364i 0.0278181 0.999613i \(-0.491144\pi\)
0.586086 + 0.810249i \(0.300668\pi\)
\(570\) −2.54333e8 + 3.18923e8i −1.37334 + 1.72211i
\(571\) 1.77094e8 1.32714e7i 0.951254 0.0712866i 0.409945 0.912110i \(-0.365548\pi\)
0.541309 + 0.840824i \(0.317929\pi\)
\(572\) 4.80606e7 + 1.48247e7i 0.256804 + 0.0792134i
\(573\) −2.48604e8 + 1.69495e8i −1.32143 + 0.900935i
\(574\) 5.10041e7 7.68763e6i 0.269693 0.0406497i
\(575\) 1.28067e7 5.61097e7i 0.0673647 0.295144i
\(576\) −2.48286e8 2.30376e8i −1.29923 1.20551i
\(577\) −1.14603e8 8.58829e6i −0.596579 0.0447074i −0.226981 0.973899i \(-0.572885\pi\)
−0.369598 + 0.929192i \(0.620505\pi\)
\(578\) 3.54085e7 + 1.38968e7i 0.183368 + 0.0719667i
\(579\) 4.49541e7 2.98251e8i 0.231598 1.53655i
\(580\) 7.60170e7 3.66079e7i 0.389607 0.187625i
\(581\) −1.20255e7 2.49712e7i −0.0613160 0.127324i
\(582\) 1.74772e8 + 2.63427e7i 0.886552 + 0.133626i
\(583\) −4.67891e7 + 1.19217e8i −0.236124 + 0.601633i
\(584\) −1.28867e7 + 1.71962e8i −0.0647000 + 0.863362i
\(585\) 2.94090e8 3.16954e8i 1.46897 1.58317i
\(586\) 1.99079e8 + 4.54385e7i 0.989311 + 0.225804i
\(587\) 4.08278e7 + 2.70875e8i 0.201856 + 1.33923i 0.828530 + 0.559945i \(0.189178\pi\)
−0.626674 + 0.779282i \(0.715584\pi\)
\(588\) −4.58719e7 6.72817e7i −0.225639 0.330952i
\(589\) −3.81615e7 + 1.23716e8i −0.186758 + 0.605455i
\(590\) 1.12767e7 + 1.50478e8i 0.0549070 + 0.732683i
\(591\) 3.26865e8 + 2.60666e8i 1.58346 + 1.26277i
\(592\) 4.49155e6 + 1.45613e7i 0.0216487 + 0.0701833i
\(593\) −4.93700e7 + 1.93763e7i −0.236755 + 0.0929195i −0.480752 0.876856i \(-0.659636\pi\)
0.243997 + 0.969776i \(0.421541\pi\)
\(594\) −3.34101e8 1.46379e9i −1.59411 6.98426i
\(595\) 7.01271e7 1.21464e8i 0.332916 0.576628i
\(596\) −9.80937e6 + 5.66344e6i −0.0463343 + 0.0267511i
\(597\) 6.75976e7 6.27214e7i 0.317694 0.294777i
\(598\) 6.73932e7 5.37443e7i 0.315147 0.251321i
\(599\) 3.20243e8 + 2.18338e8i 1.49004 + 1.01590i 0.988577 + 0.150719i \(0.0481589\pi\)
0.501468 + 0.865176i \(0.332793\pi\)
\(600\) −1.61285e8 7.76706e7i −0.746688 0.359586i
\(601\) 4.38577e7i 0.202033i −0.994885 0.101016i \(-0.967791\pi\)
0.994885 0.101016i \(-0.0322095\pi\)
\(602\) −2.84386e7 1.19635e8i −0.130352 0.548364i
\(603\) 2.47857e8 1.13044
\(604\) 9.82672e6 2.04054e7i 0.0445962 0.0926049i
\(605\) −2.69696e8 + 3.95571e8i −1.21789 + 1.78632i
\(606\) 4.39822e8 + 5.51520e8i 1.97633 + 2.47824i
\(607\) 1.00319e8 + 1.08118e8i 0.448554 + 0.483426i 0.916332 0.400420i \(-0.131136\pi\)
−0.467778 + 0.883846i \(0.654945\pi\)
\(608\) 4.74178e7 + 8.21301e7i 0.210975 + 0.365419i
\(609\) 2.53503e8 + 1.46360e8i 1.12236 + 0.647992i
\(610\) 3.66065e7 8.35521e6i 0.161276 0.0368102i
\(611\) 4.44280e6 + 1.13201e7i 0.0194775 + 0.0496278i
\(612\) −1.87477e8 + 5.78291e7i −0.817889 + 0.252285i
\(613\) 1.56998e8 1.96869e8i 0.681573 0.854665i −0.313925 0.949448i \(-0.601644\pi\)
0.995498 + 0.0947827i \(0.0302156\pi\)
\(614\) −2.87966e8 + 2.15800e7i −1.24404 + 0.0932281i
\(615\) 2.61836e8 + 8.07656e7i 1.12565 + 0.347217i
\(616\) 1.32125e8 9.00815e7i 0.565254 0.385384i
\(617\) −3.55456e7 + 5.35763e6i −0.151332 + 0.0228096i −0.224271 0.974527i \(-0.572000\pi\)
0.0729394 + 0.997336i \(0.476762\pi\)
\(618\) 1.75182e8 7.67522e8i 0.742205 3.25181i
\(619\) −2.09357e8 1.94255e8i −0.882707 0.819032i 0.101723 0.994813i \(-0.467565\pi\)
−0.984429 + 0.175781i \(0.943755\pi\)
\(620\) 6.20526e7 + 4.65020e6i 0.260366 + 0.0195117i
\(621\) −5.08490e8 1.99568e8i −2.12328 0.833327i
\(622\) 6.27170e7 4.16100e8i 0.260624 1.72913i
\(623\) −4.73944e6 + 2.28240e6i −0.0196003 + 0.00943902i
\(624\) −1.50135e8 3.11759e8i −0.617915 1.28311i
\(625\) 3.01752e8 + 4.54818e7i 1.23598 + 0.186294i
\(626\) 5.80609e7 1.47937e8i 0.236680 0.603050i
\(627\) 4.87249e7 6.50188e8i 0.197673 2.63777i
\(628\) 4.00758e7 4.31915e7i 0.161809 0.174389i
\(629\) −1.61376e7 3.68329e6i −0.0648464 0.0148008i
\(630\) 7.55841e7 + 5.01468e8i 0.302279 + 2.00549i
\(631\) −2.48934e8 3.65120e8i −0.990824 1.45327i −0.888694 0.458501i \(-0.848386\pi\)
−0.102131 0.994771i \(-0.532566\pi\)
\(632\) −4.48325e7 + 1.45343e8i −0.177599 + 0.575763i
\(633\) −3.32000e7 4.43023e8i −0.130896 1.74669i
\(634\) −3.77361e8 3.00935e8i −1.48078 1.18088i
\(635\) −1.02533e8 3.32402e8i −0.400443 1.29820i
\(636\) −4.97674e7 + 1.95323e7i −0.193452 + 0.0759244i
\(637\) 2.58822e7 + 1.13398e8i 0.100134 + 0.438718i
\(638\) −3.17648e8 + 5.50183e8i −1.22316 + 2.11858i
\(639\) 6.99244e8 4.03709e8i 2.67995 1.54727i
\(640\) −2.84800e8 + 2.64256e8i −1.08643 + 1.00806i
\(641\) −3.28052e8 + 2.61613e8i −1.24557 + 0.993310i −0.245859 + 0.969306i \(0.579070\pi\)
−0.999712 + 0.0240042i \(0.992358\pi\)
\(642\) 5.99592e8 + 4.08795e8i 2.26595 + 1.54490i
\(643\) −2.01776e8 9.71704e7i −0.758993 0.365512i 0.0140204 0.999902i \(-0.495537\pi\)
−0.773013 + 0.634390i \(0.781251\pi\)
\(644\) 2.14620e7i 0.0803549i
\(645\) 1.39636e8 6.38147e8i 0.520376 2.37816i
\(646\) −2.64385e8 −0.980706
\(647\) −5.68866e7 + 1.18126e8i −0.210037 + 0.436147i −0.979198 0.202909i \(-0.934961\pi\)
0.769160 + 0.639056i \(0.220675\pi\)
\(648\) −5.87433e8 + 8.61605e8i −2.15890 + 3.16653i
\(649\) −1.50383e8 1.88575e8i −0.550131 0.689842i
\(650\) −6.41575e7 6.91453e7i −0.233618 0.251781i
\(651\) 1.07943e8 + 1.86964e8i 0.391249 + 0.677663i
\(652\) −6.25225e7 3.60974e7i −0.225576 0.130237i
\(653\) 1.03067e8 2.35243e7i 0.370151 0.0844846i −0.0333989 0.999442i \(-0.510633\pi\)
0.403550 + 0.914957i \(0.367776\pi\)
\(654\) 2.07591e8 + 5.28933e8i 0.742122 + 1.89090i
\(655\) −2.08937e8 + 6.44486e7i −0.743519 + 0.229345i
\(656\) 1.01936e8 1.27824e8i 0.361090 0.452793i
\(657\) 8.71675e8 6.53230e7i 3.07368 0.230340i
\(658\) −1.36296e7 4.20416e6i −0.0478414 0.0147571i
\(659\) −1.68537e8 + 1.14907e8i −0.588896 + 0.401503i −0.820783 0.571240i \(-0.806462\pi\)
0.231887 + 0.972743i \(0.425510\pi\)
\(660\) −3.09877e8 + 4.67064e7i −1.07785 + 0.162459i
\(661\) −4.96681e7 + 2.17610e8i −0.171978 + 0.753485i 0.813205 + 0.581978i \(0.197721\pi\)
−0.985183 + 0.171508i \(0.945136\pi\)
\(662\) −1.13199e8 1.05034e8i −0.390185 0.362038i
\(663\) 3.74820e8 + 2.80889e7i 1.28612 + 0.0963816i
\(664\) −6.33647e7 2.48688e7i −0.216443 0.0849475i
\(665\) −2.16217e7 + 1.43450e8i −0.0735231 + 0.487794i
\(666\) 5.39237e7 2.59683e7i 0.182540 0.0879065i
\(667\) 1.00285e8 + 2.08243e8i 0.337954 + 0.701768i
\(668\) 1.36674e8 + 2.06002e7i 0.458517 + 0.0691103i
\(669\) −2.13677e8 + 5.44439e8i −0.713639 + 1.81832i
\(670\) 1.19966e7 1.60084e8i 0.0398874 0.532260i
\(671\) −4.08214e7 + 4.39950e7i −0.135120 + 0.145625i
\(672\) 1.54172e8 + 3.51889e7i 0.508041 + 0.115957i
\(673\) 4.06607e7 + 2.69766e8i 0.133392 + 0.884998i 0.950993 + 0.309213i \(0.100066\pi\)
−0.817601 + 0.575785i \(0.804696\pi\)
\(674\) 1.09456e8 + 1.60543e8i 0.357488 + 0.524338i
\(675\) −1.76189e8 + 5.71190e8i −0.572884 + 1.85725i
\(676\) 3.98000e6 + 5.31095e7i 0.0128838 + 0.171922i
\(677\) −2.27410e8 1.81353e8i −0.732897 0.584466i 0.184314 0.982867i \(-0.440994\pi\)
−0.917211 + 0.398401i \(0.869565\pi\)
\(678\) 4.86781e7 + 1.57810e8i 0.156187 + 0.506345i
\(679\) 5.85124e7 2.29644e7i 0.186913 0.0733579i
\(680\) −7.66503e7 3.35827e8i −0.243774 1.06804i
\(681\) −2.56832e8 + 4.44845e8i −0.813218 + 1.40854i
\(682\) −4.05772e8 + 2.34272e8i −1.27917 + 0.738530i
\(683\) 3.50293e8 3.25025e8i 1.09943 1.02013i 0.0997502 0.995013i \(-0.468196\pi\)
0.999685 0.0251139i \(-0.00799485\pi\)
\(684\) 1.58658e8 1.26525e8i 0.495785 0.395375i
\(685\) 3.06862e8 + 2.09215e8i 0.954709 + 0.650909i
\(686\) −2.86855e8 1.38142e8i −0.888566 0.427911i
\(687\) 6.84453e8i 2.11093i
\(688\) −3.24003e8 2.16665e8i −0.994909 0.665309i
\(689\) 7.63650e7 0.233473
\(690\) −2.33033e8 + 4.83899e8i −0.709367 + 1.47302i
\(691\) 1.35815e8 1.99203e8i 0.411635 0.603758i −0.563299 0.826253i \(-0.690468\pi\)
0.974934 + 0.222496i \(0.0714203\pi\)
\(692\) 7.11775e6 + 8.92538e6i 0.0214795 + 0.0269345i
\(693\) −5.51344e8 5.94207e8i −1.65662 1.78541i
\(694\) −7.36650e7 1.27591e8i −0.220385 0.381719i
\(695\) −2.23919e8 1.29280e8i −0.667017 0.385103i
\(696\) 7.00893e8 1.59974e8i 2.07885 0.474485i
\(697\) 6.48824e7 + 1.65318e8i 0.191615 + 0.488226i
\(698\) 4.19149e8 1.29290e8i 1.23254 0.380189i
\(699\) −7.73244e8 + 9.69617e8i −2.26405 + 2.83902i
\(700\) 2.34196e7 1.75505e6i 0.0682786 0.00511678i
\(701\) −3.03438e8 9.35984e7i −0.880880 0.271715i −0.178861 0.983874i \(-0.557241\pi\)
−0.702018 + 0.712159i \(0.747718\pi\)
\(702\) −7.39708e8 + 5.04324e8i −2.13820 + 1.45780i
\(703\) 1.69298e7 2.55175e6i 0.0487287 0.00734467i
\(704\) 7.80251e7 3.41850e8i 0.223623 0.979756i
\(705\) −5.55437e7 5.15370e7i −0.158514 0.147079i
\(706\) 2.43226e8 + 1.82273e7i 0.691188 + 0.0517974i
\(707\) 2.33531e8 + 9.16543e7i 0.660826 + 0.259355i
\(708\) 1.50068e7 9.95635e7i 0.0422852 0.280544i
\(709\) 8.69270e7 4.18618e7i 0.243902 0.117457i −0.307940 0.951406i \(-0.599639\pi\)
0.551842 + 0.833949i \(0.313925\pi\)
\(710\) −2.26900e8 4.71163e8i −0.633957 1.31643i
\(711\) 7.62388e8 + 1.14912e8i 2.12113 + 0.319709i
\(712\) −4.72001e6 + 1.20264e7i −0.0130769 + 0.0333193i
\(713\) −1.27389e7 + 1.69989e8i −0.0351449 + 0.468977i
\(714\) −2.99860e8 + 3.23172e8i −0.823803 + 0.887849i
\(715\) 4.36395e8 + 9.96042e7i 1.19388 + 0.272496i
\(716\) −1.70172e6 1.12902e7i −0.00463605 0.0307582i
\(717\) −6.47684e8 9.49979e8i −1.75714 2.57725i
\(718\) −1.78104e7 + 5.77398e7i −0.0481171 + 0.155992i
\(719\) −4.05186e7 5.40683e8i −0.109010 1.45464i −0.736722 0.676196i \(-0.763627\pi\)
0.627712 0.778446i \(-0.283992\pi\)
\(720\) 1.25675e9 + 1.00223e9i 3.36707 + 2.68515i
\(721\) −8.25251e7 2.67540e8i −0.220181 0.713810i
\(722\) −1.40184e8 + 5.50182e7i −0.372466 + 0.146182i
\(723\) 1.80032e8 + 7.88774e8i 0.476361 + 2.08707i
\(724\) 9.32863e6 1.61577e7i 0.0245812 0.0425758i
\(725\) 2.19037e8 1.26461e8i 0.574781 0.331850i
\(726\) 1.10316e9 1.02358e9i 2.88288 2.67492i
\(727\) −2.41880e8 + 1.92893e8i −0.629501 + 0.502010i −0.885483 0.464671i \(-0.846173\pi\)
0.255982 + 0.966681i \(0.417601\pi\)
\(728\) −7.87831e7 5.37134e7i −0.204192 0.139216i
\(729\) 2.11441e9 + 1.01824e9i 5.45765 + 2.62827i
\(730\) 5.66153e8i 1.45534i
\(731\) 3.79796e8 1.87120e8i 0.972294 0.479036i
\(732\) −2.50540e7 −0.0638768
\(733\) −2.60313e7 + 5.40546e7i −0.0660974 + 0.137253i −0.931400 0.363997i \(-0.881412\pi\)
0.865303 + 0.501250i \(0.167126\pi\)
\(734\) −2.78748e8 + 4.08848e8i −0.704893 + 1.03389i
\(735\) −4.51858e8 5.66612e8i −1.13799 1.42700i
\(736\) 8.49303e7 + 9.15331e7i 0.213024 + 0.229586i
\(737\) 1.28297e8 + 2.22217e8i 0.320490 + 0.555104i
\(738\) −5.56114e8 3.21073e8i −1.38355 0.798793i
\(739\) −1.70316e8 + 3.88736e7i −0.422010 + 0.0963210i −0.428252 0.903660i \(-0.640870\pi\)
0.00624180 + 0.999981i \(0.498013\pi\)
\(740\) −3.00635e6 7.66005e6i −0.00741898 0.0189032i
\(741\) −3.71507e8 + 1.14595e8i −0.913086 + 0.281650i
\(742\) −5.58449e7 + 7.00273e7i −0.136701 + 0.171418i
\(743\) 4.50664e8 3.37726e7i 1.09872 0.0823375i 0.486991 0.873407i \(-0.338094\pi\)
0.611727 + 0.791069i \(0.290475\pi\)
\(744\) 5.06661e8 + 1.56284e8i 1.23027 + 0.379487i
\(745\) −8.32909e7 + 5.67867e7i −0.201432 + 0.137334i
\(746\) 2.36766e8 3.56868e7i 0.570300 0.0859589i
\(747\) −7.67804e7 + 3.36397e8i −0.184199 + 0.807031i
\(748\) −1.48890e8 1.38150e8i −0.355763 0.330100i
\(749\) 2.57360e8 + 1.92864e7i 0.612484 + 0.0458994i
\(750\) −5.30081e8 2.08041e8i −1.25649 0.493135i
\(751\) −4.12922e7 + 2.73956e8i −0.0974872 + 0.646786i 0.885710 + 0.464239i \(0.153672\pi\)
−0.983197 + 0.182547i \(0.941566\pi\)
\(752\) −4.07327e7 + 1.96158e7i −0.0957832 + 0.0461268i
\(753\) −3.17888e8 6.60101e8i −0.744542 1.54606i
\(754\) 3.74581e8 + 5.64590e7i 0.873840 + 0.131710i
\(755\) 7.36402e7 1.87632e8i 0.171109 0.435980i
\(756\) 1.66578e7 2.22283e8i 0.0385524 0.514447i
\(757\) −4.32601e8 + 4.66234e8i −0.997242 + 1.07477i −4.07913e−5 1.00000i \(0.500013\pi\)
−0.997201 + 0.0747708i \(0.976177\pi\)
\(758\) −5.92322e8 1.35194e8i −1.36004 0.310419i
\(759\) −1.27949e8 8.48886e8i −0.292625 1.94144i
\(760\) 2.00707e8 + 2.94383e8i 0.457216 + 0.670613i
\(761\) 7.24920e7 2.35013e8i 0.164489 0.533259i −0.835377 0.549678i \(-0.814750\pi\)
0.999865 + 0.0164191i \(0.00522659\pi\)
\(762\) 8.17107e7 + 1.09035e9i 0.184678 + 2.46435i
\(763\) 1.57990e8 + 1.25993e8i 0.355677 + 0.283643i