Properties

Label 43.7.h.a.3.4
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 3.4
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.58142 + 9.51343i) q^{2} +(-35.2682 - 2.64299i) q^{3} +(-29.6125 - 37.1329i) q^{4} +(22.3499 - 72.4567i) q^{5} +(186.723 - 323.413i) q^{6} +(336.875 - 194.495i) q^{7} +(-169.911 + 38.7811i) q^{8} +(516.004 + 77.7751i) q^{9} +O(q^{10})\) \(q+(-4.58142 + 9.51343i) q^{2} +(-35.2682 - 2.64299i) q^{3} +(-29.6125 - 37.1329i) q^{4} +(22.3499 - 72.4567i) q^{5} +(186.723 - 323.413i) q^{6} +(336.875 - 194.495i) q^{7} +(-169.911 + 38.7811i) q^{8} +(516.004 + 77.7751i) q^{9} +(586.917 + 544.580i) q^{10} +(-313.422 + 393.019i) q^{11} +(946.238 + 1387.88i) q^{12} +(-241.920 + 224.469i) q^{13} +(306.946 + 4095.90i) q^{14} +(-979.745 + 2496.35i) q^{15} +(1085.88 - 4757.56i) q^{16} +(1982.76 - 611.602i) q^{17} +(-3103.94 + 4552.65i) q^{18} +(1101.49 + 7307.89i) q^{19} +(-3352.36 + 1315.71i) q^{20} +(-12395.0 + 5969.14i) q^{21} +(-2303.04 - 4782.31i) q^{22} +(2320.49 + 5912.50i) q^{23} +(6094.97 - 918.668i) q^{24} +(8159.52 + 5563.07i) q^{25} +(-1027.13 - 3329.88i) q^{26} +(7143.21 + 1630.39i) q^{27} +(-17197.9 - 6749.67i) q^{28} +(10814.3 - 810.421i) q^{29} +(-19260.2 - 20757.6i) q^{30} +(31001.5 - 21136.5i) q^{31} +(31565.3 + 25172.5i) q^{32} +(12092.6 - 13032.7i) q^{33} +(-3265.46 + 21664.9i) q^{34} +(-6563.33 - 28755.8i) q^{35} +(-12392.2 - 21463.8i) q^{36} +(34759.8 + 20068.6i) q^{37} +(-74569.4 - 23001.6i) q^{38} +(9125.37 - 7277.24i) q^{39} +(-987.552 + 13178.0i) q^{40} +(-56214.1 - 27071.3i) q^{41} -145266. i q^{42} +(79469.1 - 2455.33i) q^{43} +23875.1 q^{44} +(17168.0 - 35649.7i) q^{45} +(-66879.3 - 5011.91i) q^{46} +(-59508.1 - 74620.8i) q^{47} +(-50871.3 + 164921. i) q^{48} +(16832.2 - 29154.2i) q^{49} +(-90306.1 + 52138.2i) q^{50} +(-71545.0 + 16329.7i) q^{51} +(15499.1 + 2336.11i) q^{52} +(129180. + 119862. i) q^{53} +(-48236.7 + 60486.9i) q^{54} +(21471.9 + 31493.5i) q^{55} +(-49696.2 + 46111.3i) q^{56} +(-19532.8 - 260647. i) q^{57} +(-41835.1 + 106594. i) q^{58} +(-18735.5 + 82085.5i) q^{59} +(121709. - 37542.3i) q^{60} +(-26534.6 + 38919.2i) q^{61} +(59049.2 + 391766. i) q^{62} +(188956. - 74159.8i) q^{63} +(-102705. + 49460.2i) q^{64} +(10857.4 + 22545.6i) q^{65} +(68584.5 + 174750. i) q^{66} +(586444. - 88392.3i) q^{67} +(-81425.1 - 55514.7i) q^{68} +(-66212.7 - 214656. i) q^{69} +(303636. + 69302.9i) q^{70} +(374715. + 147065. i) q^{71} +(-90691.1 + 6796.36i) q^{72} +(-207544. - 223679. i) q^{73} +(-350170. + 238742. i) q^{74} +(-273069. - 217765. i) q^{75} +(238745. - 257306. i) q^{76} +(-29144.0 + 193358. i) q^{77} +(27424.3 + 120154. i) q^{78} +(-142299. - 246469. i) q^{79} +(-320448. - 185011. i) q^{80} +(-611134. - 188510. i) q^{81} +(515081. - 410764. i) q^{82} +(-32481.6 + 433436. i) q^{83} +(588699. + 283503. i) q^{84} -157334. i q^{85} +(-340723. + 767272. i) q^{86} -383544. q^{87} +(38012.3 - 78933.3i) q^{88} +(-868879. - 65113.5i) q^{89} +(260497. + 326653. i) q^{90} +(-37838.8 + 122671. i) q^{91} +(150833. - 261250. i) q^{92} +(-1.14923e6 + 663509. i) q^{93} +(982531. - 224256. i) q^{94} +(554124. + 83520.7i) q^{95} +(-1.04672e6 - 971216. i) q^{96} +(275920. - 345992. i) q^{97} +(200241. + 293700. i) q^{98} +(-192294. + 178423. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.58142 + 9.51343i −0.572678 + 1.18918i 0.390572 + 0.920572i \(0.372277\pi\)
−0.963250 + 0.268606i \(0.913437\pi\)
\(3\) −35.2682 2.64299i −1.30623 0.0978884i −0.596643 0.802506i \(-0.703499\pi\)
−0.709587 + 0.704618i \(0.751118\pi\)
\(4\) −29.6125 37.1329i −0.462695 0.580201i
\(5\) 22.3499 72.4567i 0.178800 0.579654i −0.821160 0.570698i \(-0.806673\pi\)
0.999960 0.00895630i \(-0.00285092\pi\)
\(6\) 186.723 323.413i 0.864456 1.49728i
\(7\) 336.875 194.495i 0.982144 0.567041i 0.0792272 0.996857i \(-0.474755\pi\)
0.902917 + 0.429815i \(0.141421\pi\)
\(8\) −169.911 + 38.7811i −0.331858 + 0.0757444i
\(9\) 516.004 + 77.7751i 0.707825 + 0.106687i
\(10\) 586.917 + 544.580i 0.586917 + 0.544580i
\(11\) −313.422 + 393.019i −0.235479 + 0.295281i −0.885504 0.464631i \(-0.846187\pi\)
0.650025 + 0.759913i \(0.274758\pi\)
\(12\) 946.238 + 1387.88i 0.547591 + 0.803169i
\(13\) −241.920 + 224.469i −0.110114 + 0.102171i −0.733309 0.679896i \(-0.762025\pi\)
0.623195 + 0.782067i \(0.285834\pi\)
\(14\) 306.946 + 4095.90i 0.111861 + 1.49268i
\(15\) −979.745 + 2496.35i −0.290295 + 0.739659i
\(16\) 1085.88 4757.56i 0.265108 1.16151i
\(17\) 1982.76 611.602i 0.403575 0.124486i −0.0863207 0.996267i \(-0.527511\pi\)
0.489896 + 0.871781i \(0.337035\pi\)
\(18\) −3103.94 + 4552.65i −0.532226 + 0.780632i
\(19\) 1101.49 + 7307.89i 0.160590 + 1.06544i 0.913358 + 0.407158i \(0.133480\pi\)
−0.752768 + 0.658286i \(0.771282\pi\)
\(20\) −3352.36 + 1315.71i −0.419046 + 0.164463i
\(21\) −12395.0 + 5969.14i −1.33841 + 0.644546i
\(22\) −2303.04 4782.31i −0.216288 0.449127i
\(23\) 2320.49 + 5912.50i 0.190720 + 0.485946i 0.993964 0.109704i \(-0.0349901\pi\)
−0.803245 + 0.595649i \(0.796895\pi\)
\(24\) 6094.97 918.668i 0.440897 0.0664546i
\(25\) 8159.52 + 5563.07i 0.522210 + 0.356036i
\(26\) −1027.13 3329.88i −0.0584395 0.189456i
\(27\) 7143.21 + 1630.39i 0.362913 + 0.0828325i
\(28\) −17197.9 6749.67i −0.783431 0.307474i
\(29\) 10814.3 810.421i 0.443410 0.0332290i 0.148845 0.988861i \(-0.452444\pi\)
0.294565 + 0.955632i \(0.404825\pi\)
\(30\) −19260.2 20757.6i −0.713341 0.768799i
\(31\) 31001.5 21136.5i 1.04063 0.709492i 0.0827273 0.996572i \(-0.473637\pi\)
0.957907 + 0.287080i \(0.0926846\pi\)
\(32\) 31565.3 + 25172.5i 0.963297 + 0.768204i
\(33\) 12092.6 13032.7i 0.336494 0.362654i
\(34\) −3265.46 + 21664.9i −0.0830821 + 0.551214i
\(35\) −6563.33 28755.8i −0.153081 0.670690i
\(36\) −12392.2 21463.8i −0.265607 0.460044i
\(37\) 34759.8 + 20068.6i 0.686233 + 0.396197i 0.802199 0.597056i \(-0.203663\pi\)
−0.115966 + 0.993253i \(0.536996\pi\)
\(38\) −74569.4 23001.6i −1.35897 0.419187i
\(39\) 9125.37 7277.24i 0.153836 0.122680i
\(40\) −987.552 + 13178.0i −0.0154305 + 0.205906i
\(41\) −56214.1 27071.3i −0.815631 0.392787i −0.0209244 0.999781i \(-0.506661\pi\)
−0.794706 + 0.606994i \(0.792375\pi\)
\(42\) 145266.i 1.96073i
\(43\) 79469.1 2455.33i 0.999523 0.0308819i
\(44\) 23875.1 0.280277
\(45\) 17168.0 35649.7i 0.188400 0.391218i
\(46\) −66879.3 5011.91i −0.687097 0.0514908i
\(47\) −59508.1 74620.8i −0.573169 0.718731i 0.407762 0.913088i \(-0.366309\pi\)
−0.980931 + 0.194358i \(0.937738\pi\)
\(48\) −50871.3 + 164921.i −0.459991 + 1.49125i
\(49\) 16832.2 29154.2i 0.143071 0.247807i
\(50\) −90306.1 + 52138.2i −0.722449 + 0.417106i
\(51\) −71545.0 + 16329.7i −0.539348 + 0.123103i
\(52\) 15499.1 + 2336.11i 0.110229 + 0.0166143i
\(53\) 129180. + 119862.i 0.867697 + 0.805105i 0.982106 0.188329i \(-0.0603071\pi\)
−0.114409 + 0.993434i \(0.536498\pi\)
\(54\) −48236.7 + 60486.9i −0.306335 + 0.384132i
\(55\) 21471.9 + 31493.5i 0.129057 + 0.189292i
\(56\) −49696.2 + 46111.3i −0.282982 + 0.262569i
\(57\) −19532.8 260647.i −0.105473 1.40744i
\(58\) −41835.1 + 106594.i −0.214416 + 0.546323i
\(59\) −18735.5 + 82085.5i −0.0912239 + 0.399678i −0.999839 0.0179570i \(-0.994284\pi\)
0.908615 + 0.417635i \(0.137141\pi\)
\(60\) 121709. 37542.3i 0.563469 0.173807i
\(61\) −26534.6 + 38919.2i −0.116903 + 0.171464i −0.880230 0.474547i \(-0.842612\pi\)
0.763328 + 0.646012i \(0.223564\pi\)
\(62\) 59049.2 + 391766.i 0.247764 + 1.64381i
\(63\) 188956. 74159.8i 0.755682 0.296583i
\(64\) −102705. + 49460.2i −0.391789 + 0.188676i
\(65\) 10857.4 + 22545.6i 0.0395354 + 0.0820961i
\(66\) 68584.5 + 174750.i 0.238558 + 0.607836i
\(67\) 586444. 88392.3i 1.94986 0.293893i 0.950022 0.312182i \(-0.101060\pi\)
0.999833 + 0.0182884i \(0.00582169\pi\)
\(68\) −81425.1 55514.7i −0.258959 0.176556i
\(69\) −66212.7 214656.i −0.201555 0.653426i
\(70\) 303636. + 69302.9i 0.885236 + 0.202049i
\(71\) 374715. + 147065.i 1.04695 + 0.410897i 0.825575 0.564292i \(-0.190851\pi\)
0.221374 + 0.975189i \(0.428946\pi\)
\(72\) −90691.1 + 6796.36i −0.242978 + 0.0182087i
\(73\) −207544. 223679.i −0.533508 0.574985i 0.407570 0.913174i \(-0.366376\pi\)
−0.941078 + 0.338189i \(0.890186\pi\)
\(74\) −350170. + 238742.i −0.864139 + 0.589160i
\(75\) −273069. 217765.i −0.647274 0.516184i
\(76\) 238745. 257306.i 0.543868 0.586151i
\(77\) −29144.0 + 193358.i −0.0638376 + 0.423535i
\(78\) 27424.3 + 120154.i 0.0577898 + 0.253194i
\(79\) −142299. 246469.i −0.288616 0.499898i 0.684863 0.728672i \(-0.259862\pi\)
−0.973480 + 0.228773i \(0.926529\pi\)
\(80\) −320448. 185011.i −0.625875 0.361349i
\(81\) −611134. 188510.i −1.14996 0.354715i
\(82\) 515081. 410764.i 0.934188 0.744990i
\(83\) −32481.6 + 433436.i −0.0568071 + 0.758038i 0.893963 + 0.448141i \(0.147914\pi\)
−0.950770 + 0.309897i \(0.899705\pi\)
\(84\) 588699. + 283503.i 0.993243 + 0.478321i
\(85\) 157334.i 0.256192i
\(86\) −340723. + 767272.i −0.535681 + 1.20630i
\(87\) −383544. −0.582448
\(88\) 38012.3 78933.3i 0.0557796 0.115828i
\(89\) −868879. 65113.5i −1.23251 0.0923636i −0.557501 0.830176i \(-0.688240\pi\)
−0.675006 + 0.737812i \(0.735859\pi\)
\(90\) 260497. + 326653.i 0.357335 + 0.448083i
\(91\) −37838.8 + 122671.i −0.0502127 + 0.162786i
\(92\) 150833. 261250.i 0.193701 0.335500i
\(93\) −1.14923e6 + 663509.i −1.42876 + 0.824894i
\(94\) 982531. 224256.i 1.18294 0.269998i
\(95\) 554124. + 83520.7i 0.646303 + 0.0974144i
\(96\) −1.04672e6 971216.i −1.18309 1.09775i
\(97\) 275920. 345992.i 0.302320 0.379098i −0.607346 0.794437i \(-0.707766\pi\)
0.909666 + 0.415340i \(0.136337\pi\)
\(98\) 200241. + 293700.i 0.212753 + 0.312051i
\(99\) −192294. + 178423.i −0.198180 + 0.183885i
\(100\) −35051.0 467723.i −0.0350510 0.467723i
\(101\) −79192.0 + 201778.i −0.0768630 + 0.195844i −0.964141 0.265392i \(-0.914499\pi\)
0.887278 + 0.461236i \(0.152594\pi\)
\(102\) 172427. 755452.i 0.162482 0.711879i
\(103\) 1.53293e6 472848.i 1.40285 0.432723i 0.501255 0.865300i \(-0.332872\pi\)
0.901597 + 0.432577i \(0.142396\pi\)
\(104\) 32399.8 47521.8i 0.0288033 0.0422467i
\(105\) 155476. + 1.03151e6i 0.134306 + 0.891061i
\(106\) −1.73212e6 + 679808.i −1.45432 + 0.570780i
\(107\) 1.70514e6 821152.i 1.39190 0.670305i 0.420401 0.907338i \(-0.361889\pi\)
0.971502 + 0.237033i \(0.0761750\pi\)
\(108\) −150987. 313528.i −0.119858 0.248889i
\(109\) −918407. 2.34006e6i −0.709179 1.80696i −0.578757 0.815500i \(-0.696462\pi\)
−0.130422 0.991459i \(-0.541633\pi\)
\(110\) −397983. + 59986.3i −0.299011 + 0.0450686i
\(111\) −1.17287e6 799652.i −0.857595 0.584698i
\(112\) −559516. 1.81390e6i −0.398252 1.29110i
\(113\) 940626. + 214692.i 0.651901 + 0.148792i 0.535667 0.844430i \(-0.320060\pi\)
0.116235 + 0.993222i \(0.462918\pi\)
\(114\) 2.56914e6 + 1.00831e6i 1.73409 + 0.680582i
\(115\) 480263. 35990.7i 0.315781 0.0236645i
\(116\) −350332. 377568.i −0.224443 0.241892i
\(117\) −142290. + 97011.7i −0.0888417 + 0.0605713i
\(118\) −695079. 554307.i −0.423047 0.337368i
\(119\) 548991. 591672.i 0.325780 0.351107i
\(120\) 69658.4 462153.i 0.0403116 0.267450i
\(121\) 337979. + 1.48078e6i 0.190780 + 0.835863i
\(122\) −248688. 430741.i −0.136954 0.237212i
\(123\) 1.91102e6 + 1.10333e6i 1.02695 + 0.592911i
\(124\) −1.70289e6 525272.i −0.893144 0.275499i
\(125\) 1.51174e6 1.20557e6i 0.774010 0.617253i
\(126\) −160174. + 2.13738e6i −0.0800720 + 1.06849i
\(127\) 591420. + 284813.i 0.288725 + 0.139043i 0.572640 0.819807i \(-0.305919\pi\)
−0.283915 + 0.958849i \(0.591633\pi\)
\(128\) 1.38023e6i 0.658145i
\(129\) −2.80922e6 123441.i −1.30863 0.0575028i
\(130\) −264229. −0.120268
\(131\) −428776. + 890363.i −0.190729 + 0.396053i −0.974302 0.225247i \(-0.927681\pi\)
0.783573 + 0.621300i \(0.213395\pi\)
\(132\) −842034. 63101.7i −0.366107 0.0274359i
\(133\) 1.79241e6 + 2.24761e6i 0.761874 + 0.955359i
\(134\) −1.84584e6 + 5.98406e6i −0.767148 + 2.48703i
\(135\) 277783. 481135.i 0.112903 0.195553i
\(136\) −313175. + 180812.i −0.124500 + 0.0718804i
\(137\) −2.77524e6 + 633431.i −1.07929 + 0.246342i −0.724969 0.688781i \(-0.758146\pi\)
−0.354324 + 0.935123i \(0.615289\pi\)
\(138\) 2.34547e6 + 353522.i 0.892466 + 0.134518i
\(139\) 2.96279e6 + 2.74907e6i 1.10321 + 1.02363i 0.999579 + 0.0290089i \(0.00923512\pi\)
0.103626 + 0.994616i \(0.466955\pi\)
\(140\) −873431. + 1.09525e6i −0.318306 + 0.399143i
\(141\) 1.90152e6 + 2.78902e6i 0.678335 + 0.994934i
\(142\) −3.11581e6 + 2.89105e6i −1.08819 + 1.00970i
\(143\) −12397.5 165433.i −0.00423961 0.0565736i
\(144\) 930340. 2.37047e6i 0.311569 0.793865i
\(145\) 182979. 801683.i 0.0600202 0.262965i
\(146\) 3.07880e6 949684.i 0.989288 0.305155i
\(147\) −670695. + 983729.i −0.211141 + 0.309687i
\(148\) −284119. 1.88501e6i −0.0876427 0.581471i
\(149\) −3.37348e6 + 1.32399e6i −1.01981 + 0.400246i −0.815560 0.578673i \(-0.803571\pi\)
−0.204250 + 0.978919i \(0.565475\pi\)
\(150\) 3.32274e6 1.60015e6i 0.984514 0.474117i
\(151\) −1.45762e6 3.02678e6i −0.423364 0.879124i −0.998149 0.0608195i \(-0.980629\pi\)
0.574785 0.818304i \(-0.305086\pi\)
\(152\) −470563. 1.19898e6i −0.133995 0.341413i
\(153\) 1.07068e6 161379.i 0.298942 0.0450582i
\(154\) −1.70597e6 1.16311e6i −0.467100 0.318463i
\(155\) −838598. 2.71867e6i −0.225195 0.730064i
\(156\) −540450. 123354.i −0.142358 0.0324923i
\(157\) −4.93713e6 1.93768e6i −1.27578 0.500706i −0.371812 0.928308i \(-0.621263\pi\)
−0.903967 + 0.427602i \(0.859359\pi\)
\(158\) 2.99670e6 224572.i 0.759752 0.0569356i
\(159\) −4.23916e6 4.56873e6i −1.05460 1.13659i
\(160\) 2.52940e6 1.72452e6i 0.617529 0.421024i
\(161\) 1.93167e6 + 1.54045e6i 0.462865 + 0.369123i
\(162\) 4.59324e6 4.95034e6i 1.08037 1.16437i
\(163\) −571735. + 3.79321e6i −0.132018 + 0.875879i 0.820555 + 0.571568i \(0.193665\pi\)
−0.952572 + 0.304312i \(0.901574\pi\)
\(164\) 659404. + 2.88904e6i 0.149493 + 0.654971i
\(165\) −674039. 1.16747e6i −0.150049 0.259893i
\(166\) −3.97465e6 2.29477e6i −0.868910 0.501666i
\(167\) −3.32488e6 1.02559e6i −0.713881 0.220203i −0.0835211 0.996506i \(-0.526617\pi\)
−0.630360 + 0.776303i \(0.717093\pi\)
\(168\) 1.87457e6 1.49492e6i 0.395342 0.315275i
\(169\) −352569. + 4.70470e6i −0.0730439 + 0.974703i
\(170\) 1.49678e6 + 720814.i 0.304658 + 0.146716i
\(171\) 3.85657e6i 0.771281i
\(172\) −2.44445e6 2.87821e6i −0.480392 0.565636i
\(173\) 6.57606e6 1.27007 0.635034 0.772484i \(-0.280986\pi\)
0.635034 + 0.772484i \(0.280986\pi\)
\(174\) 1.75718e6 3.64882e6i 0.333555 0.692635i
\(175\) 3.83073e6 + 287074.i 0.714772 + 0.0535648i
\(176\) 1.52947e6 + 1.91790e6i 0.280546 + 0.351793i
\(177\) 877718. 2.84549e6i 0.158283 0.513142i
\(178\) 4.60016e6 7.96771e6i 0.815667 1.41278i
\(179\) −7.19667e6 + 4.15500e6i −1.25479 + 0.724456i −0.972058 0.234742i \(-0.924576\pi\)
−0.282737 + 0.959198i \(0.591242\pi\)
\(180\) −1.83216e6 + 418179.i −0.314157 + 0.0717043i
\(181\) 5.45027e6 + 821496.i 0.919141 + 0.138538i 0.591538 0.806277i \(-0.298521\pi\)
0.327603 + 0.944815i \(0.393759\pi\)
\(182\) −993661. 921983.i −0.164825 0.152936i
\(183\) 1.03869e6 1.30248e6i 0.169486 0.212529i
\(184\) −623570. 914609.i −0.100099 0.146819i
\(185\) 2.23098e6 2.07005e6i 0.352355 0.326938i
\(186\) −1.04713e6 1.39730e7i −0.162728 2.17145i
\(187\) −381071. + 970954.i −0.0582749 + 0.148482i
\(188\) −1.00870e6 + 4.41941e6i −0.151806 + 0.665106i
\(189\) 2.72348e6 840081.i 0.403402 0.124433i
\(190\) −3.33324e6 + 4.88897e6i −0.485966 + 0.712782i
\(191\) 1.07787e6 + 7.15119e6i 0.154691 + 1.02631i 0.922602 + 0.385753i \(0.126058\pi\)
−0.767911 + 0.640556i \(0.778704\pi\)
\(192\) 3.75295e6 1.47293e6i 0.530236 0.208102i
\(193\) −6.55369e6 + 3.15609e6i −0.911620 + 0.439013i −0.830072 0.557656i \(-0.811701\pi\)
−0.0815484 + 0.996669i \(0.525987\pi\)
\(194\) 2.02747e6 + 4.21008e6i 0.277683 + 0.576614i
\(195\) −323333. 823840.i −0.0436061 0.111106i
\(196\) −1.58102e6 + 238301.i −0.209976 + 0.0316488i
\(197\) −1.25066e6 852682.i −0.163583 0.111529i 0.478761 0.877945i \(-0.341086\pi\)
−0.642345 + 0.766416i \(0.722038\pi\)
\(198\) −816433. 2.64681e6i −0.105178 0.340979i
\(199\) −5.82859e6 1.33034e6i −0.739612 0.168812i −0.163915 0.986474i \(-0.552412\pi\)
−0.575698 + 0.817663i \(0.695269\pi\)
\(200\) −1.60214e6 628792.i −0.200267 0.0785991i
\(201\) −2.09165e7 + 1.56747e6i −2.57573 + 0.193024i
\(202\) −1.55679e6 1.67782e6i −0.188875 0.203559i
\(203\) 3.48546e6 2.37634e6i 0.416650 0.284067i
\(204\) 2.72499e6 + 2.17311e6i 0.320978 + 0.255971i
\(205\) −3.21788e6 + 3.46805e6i −0.373515 + 0.402553i
\(206\) −2.52462e6 + 1.67498e7i −0.288798 + 1.91605i
\(207\) 737535. + 3.23135e6i 0.0831518 + 0.364312i
\(208\) 805230. + 1.39470e6i 0.0894808 + 0.154985i
\(209\) −3.21737e6 1.85755e6i −0.352421 0.203471i
\(210\) −1.05255e7 3.24670e6i −1.13654 0.350577i
\(211\) 4.49110e6 3.58153e6i 0.478085 0.381260i −0.354590 0.935022i \(-0.615380\pi\)
0.832675 + 0.553762i \(0.186808\pi\)
\(212\) 625463. 8.34623e6i 0.0656439 0.875957i
\(213\) −1.28268e7 6.17707e6i −1.32733 0.639211i
\(214\) 1.99838e7i 2.03909i
\(215\) 1.59822e6 5.81295e6i 0.160813 0.584899i
\(216\) −1.27694e6 −0.126710
\(217\) 6.33271e6 1.31500e7i 0.619741 1.28691i
\(218\) 2.64696e7 + 1.98363e6i 2.55493 + 0.191465i
\(219\) 6.72852e6 + 8.43729e6i 0.640600 + 0.803287i
\(220\) 533608. 1.72991e6i 0.0501135 0.162464i
\(221\) −342385. + 593029.i −0.0317204 + 0.0549413i
\(222\) 1.29809e7 7.49450e6i 1.18644 0.684989i
\(223\) 3.59577e6 820712.i 0.324248 0.0740076i −0.0572984 0.998357i \(-0.518249\pi\)
0.381547 + 0.924350i \(0.375391\pi\)
\(224\) 1.55295e7 + 2.34070e6i 1.38170 + 0.208258i
\(225\) 3.77768e6 + 3.50517e6i 0.331648 + 0.307725i
\(226\) −6.35186e6 + 7.96498e6i −0.550270 + 0.690017i
\(227\) 8.18056e6 + 1.19987e7i 0.699368 + 1.02578i 0.997459 + 0.0712468i \(0.0226978\pi\)
−0.298091 + 0.954538i \(0.596350\pi\)
\(228\) −9.10017e6 + 8.44373e6i −0.767795 + 0.712409i
\(229\) −1.11365e6 1.48606e7i −0.0927344 1.23745i −0.828411 0.560121i \(-0.810755\pi\)
0.735676 0.677333i \(-0.236864\pi\)
\(230\) −1.85789e6 + 4.73384e6i −0.152699 + 0.389072i
\(231\) 1.53890e6 6.74235e6i 0.124846 0.546985i
\(232\) −1.80605e6 + 557091.i −0.144632 + 0.0446131i
\(233\) 957691. 1.40467e6i 0.0757107 0.111047i −0.786516 0.617570i \(-0.788117\pi\)
0.862226 + 0.506523i \(0.169069\pi\)
\(234\) −271023. 1.79812e6i −0.0211523 0.140336i
\(235\) −6.73678e6 + 2.64399e6i −0.519097 + 0.203731i
\(236\) 3.60287e6 1.73505e6i 0.274103 0.132001i
\(237\) 4.36722e6 + 9.06863e6i 0.328065 + 0.681234i
\(238\) 3.11366e6 + 7.93349e6i 0.230962 + 0.588482i
\(239\) 3.06742e6 462339.i 0.224688 0.0338662i −0.0357333 0.999361i \(-0.511377\pi\)
0.260421 + 0.965495i \(0.416139\pi\)
\(240\) 1.08127e7 + 7.37194e6i 0.782165 + 0.533271i
\(241\) 2.59972e6 + 8.42809e6i 0.185727 + 0.602113i 0.999773 + 0.0213122i \(0.00678439\pi\)
−0.814046 + 0.580801i \(0.802739\pi\)
\(242\) −1.56357e7 3.56876e6i −1.10325 0.251809i
\(243\) 1.60833e7 + 6.31223e6i 1.12087 + 0.439910i
\(244\) 2.23094e6 167186.i 0.153574 0.0115088i
\(245\) −1.73622e6 1.87120e6i −0.118061 0.127239i
\(246\) −1.92516e7 + 1.31255e7i −1.29319 + 0.881682i
\(247\) −1.90687e6 1.52068e6i −0.126541 0.100913i
\(248\) −4.44781e6 + 4.79360e6i −0.291603 + 0.314273i
\(249\) 2.29113e6 1.52007e7i 0.148406 0.984612i
\(250\) 4.54320e6 + 1.99051e7i 0.290765 + 1.27392i
\(251\) −1.35544e7 2.34769e7i −0.857153 1.48463i −0.874633 0.484786i \(-0.838898\pi\)
0.0174799 0.999847i \(-0.494436\pi\)
\(252\) −8.34922e6 4.82043e6i −0.521728 0.301220i
\(253\) −3.05102e6 941114.i −0.188401 0.0581140i
\(254\) −5.41909e6 + 4.32158e6i −0.330693 + 0.263719i
\(255\) −415832. + 5.54889e6i −0.0250782 + 0.334646i
\(256\) −1.97039e7 9.48888e6i −1.17444 0.565581i
\(257\) 1.23135e7i 0.725410i 0.931904 + 0.362705i \(0.118147\pi\)
−0.931904 + 0.362705i \(0.881853\pi\)
\(258\) 1.40446e7 2.61598e7i 0.817805 1.52326i
\(259\) 1.56129e7 0.898639
\(260\) 515670. 1.07080e6i 0.0293394 0.0609239i
\(261\) 5.64327e6 + 422904.i 0.317401 + 0.0237860i
\(262\) −6.50600e6 8.15827e6i −0.361751 0.453622i
\(263\) 8.19115e6 2.65550e7i 0.450275 1.45975i −0.391627 0.920124i \(-0.628088\pi\)
0.841902 0.539631i \(-0.181436\pi\)
\(264\) −1.54924e6 + 2.68337e6i −0.0841992 + 0.145837i
\(265\) 1.15719e7 6.68107e6i 0.621826 0.359011i
\(266\) −2.95943e7 + 6.75471e6i −1.57240 + 0.358890i
\(267\) 3.04717e7 + 4.59287e6i 1.60090 + 0.241296i
\(268\) −2.06483e7 1.91589e7i −1.07271 0.995325i
\(269\) 3.07315e6 3.85361e6i 0.157880 0.197975i −0.696600 0.717460i \(-0.745305\pi\)
0.854480 + 0.519485i \(0.173876\pi\)
\(270\) 3.30460e6 + 4.84695e6i 0.167891 + 0.246251i
\(271\) −1.63711e6 + 1.51901e6i −0.0822563 + 0.0763227i −0.720230 0.693736i \(-0.755964\pi\)
0.637973 + 0.770059i \(0.279773\pi\)
\(272\) −756685. 1.00973e7i −0.0376018 0.501761i
\(273\) 1.65873e6 4.22636e6i 0.0815242 0.207720i
\(274\) 6.68847e6 2.93041e7i 0.325143 1.42455i
\(275\) −4.74377e6 + 1.46326e6i −0.228100 + 0.0703596i
\(276\) −6.01009e6 + 8.81518e6i −0.285860 + 0.419280i
\(277\) −2.07326e6 1.37552e7i −0.0975472 0.647183i −0.983158 0.182756i \(-0.941498\pi\)
0.885611 0.464427i \(-0.153740\pi\)
\(278\) −3.97268e7 + 1.55916e7i −1.84905 + 0.725700i
\(279\) 1.76408e7 8.49537e6i 0.812280 0.391174i
\(280\) 2.23037e6 + 4.63141e6i 0.101602 + 0.210979i
\(281\) 6.89227e6 + 1.75612e7i 0.310630 + 0.791473i 0.997882 + 0.0650532i \(0.0207217\pi\)
−0.687252 + 0.726419i \(0.741183\pi\)
\(282\) −3.52448e7 + 5.31230e6i −1.57162 + 0.236884i
\(283\) 2.69532e7 + 1.83764e7i 1.18919 + 0.810776i 0.985734 0.168308i \(-0.0538305\pi\)
0.203455 + 0.979084i \(0.434783\pi\)
\(284\) −5.63530e6 1.82692e7i −0.246015 0.797561i
\(285\) −1.93222e7 4.41017e6i −0.834684 0.190511i
\(286\) 1.63063e6 + 639976.i 0.0697041 + 0.0273568i
\(287\) −2.42024e7 + 1.81372e6i −1.02379 + 0.0767227i
\(288\) 1.43300e7 + 1.54441e7i 0.599888 + 0.646525i
\(289\) −1.63861e7 + 1.11719e7i −0.678863 + 0.462841i
\(290\) 6.78845e6 + 5.41361e6i 0.278341 + 0.221969i
\(291\) −1.06456e7 + 1.14733e7i −0.432009 + 0.465595i
\(292\) −2.15996e6 + 1.43304e7i −0.0867554 + 0.575585i
\(293\) 4.21198e6 + 1.84539e7i 0.167449 + 0.733644i 0.987011 + 0.160653i \(0.0513599\pi\)
−0.819562 + 0.572991i \(0.805783\pi\)
\(294\) −6.28590e6 1.08875e7i −0.247358 0.428436i
\(295\) 5.52891e6 + 3.19212e6i 0.215364 + 0.124341i
\(296\) −6.68435e6 2.06185e6i −0.257742 0.0795027i
\(297\) −2.87962e6 + 2.29642e6i −0.109917 + 0.0876560i
\(298\) 2.85963e6 3.81591e7i 0.108059 1.44195i
\(299\) −1.88855e6 909476.i −0.0706503 0.0340234i
\(300\) 1.65884e7i 0.614385i
\(301\) 2.62936e7 1.62835e7i 0.964164 0.597101i
\(302\) 3.54730e7 1.28789
\(303\) 3.32626e6 6.90705e6i 0.119572 0.248293i
\(304\) 3.59638e7 + 2.69512e6i 1.28010 + 0.0959305i
\(305\) 2.22691e6 + 2.79246e6i 0.0784879 + 0.0984208i
\(306\) −3.36998e6 + 1.09252e7i −0.117615 + 0.381299i
\(307\) 2.68446e7 4.64962e7i 0.927774 1.60695i 0.140735 0.990047i \(-0.455053\pi\)
0.787039 0.616904i \(-0.211613\pi\)
\(308\) 8.04295e6 4.64360e6i 0.275273 0.158929i
\(309\) −5.53136e7 + 1.26250e7i −1.87481 + 0.427912i
\(310\) 2.97058e7 + 4.47743e6i 0.997141 + 0.150295i
\(311\) −3.28863e7 3.05140e7i −1.09329 1.01442i −0.999823 0.0187975i \(-0.994016\pi\)
−0.0934619 0.995623i \(-0.529793\pi\)
\(312\) −1.26828e6 + 1.59038e6i −0.0417592 + 0.0523644i
\(313\) 1.01748e7 + 1.49236e7i 0.331812 + 0.486678i 0.955498 0.294996i \(-0.0953183\pi\)
−0.623687 + 0.781674i \(0.714366\pi\)
\(314\) 4.10531e7 3.80917e7i 1.32604 1.23039i
\(315\) −1.15022e6 1.53486e7i −0.0368001 0.491063i
\(316\) −4.93828e6 + 1.25825e7i −0.156500 + 0.398756i
\(317\) 7.80400e6 3.41915e7i 0.244985 1.07335i −0.691427 0.722446i \(-0.743018\pi\)
0.936412 0.350903i \(-0.114125\pi\)
\(318\) 6.28856e7 1.93976e7i 1.95555 0.603209i
\(319\) −3.07094e6 + 4.50424e6i −0.0946017 + 0.138755i
\(320\) 1.28827e6 + 8.54712e6i 0.0393149 + 0.260837i
\(321\) −6.23076e7 + 2.44539e7i −1.88376 + 0.739322i
\(322\) −2.35048e7 + 1.13193e7i −0.704025 + 0.339041i
\(323\) 6.65351e6 + 1.38161e7i 0.197444 + 0.409996i
\(324\) 1.10973e7 + 2.82754e7i 0.326274 + 0.831331i
\(325\) −3.22269e6 + 485743.i −0.0938791 + 0.0141500i
\(326\) −3.34671e7 2.28175e7i −0.965973 0.658589i
\(327\) 2.62058e7 + 8.49572e7i 0.749471 + 2.42972i
\(328\) 1.06013e7 + 2.41967e6i 0.300425 + 0.0685700i
\(329\) −3.45602e7 1.35639e7i −0.970484 0.380887i
\(330\) 1.41947e7 1.06375e6i 0.394988 0.0296003i
\(331\) 2.08439e7 + 2.24644e7i 0.574771 + 0.619456i 0.951790 0.306750i \(-0.0992415\pi\)
−0.377019 + 0.926205i \(0.623051\pi\)
\(332\) 1.70566e7 1.16290e7i 0.466099 0.317781i
\(333\) 1.63753e7 + 1.30589e7i 0.443463 + 0.353650i
\(334\) 2.49895e7 2.69323e7i 0.670685 0.722827i
\(335\) 6.70238e6 4.44674e7i 0.178277 1.18279i
\(336\) 1.49390e7 + 6.54520e7i 0.393825 + 1.72546i
\(337\) 7.97747e6 + 1.38174e7i 0.208437 + 0.361024i 0.951222 0.308506i \(-0.0998289\pi\)
−0.742785 + 0.669530i \(0.766496\pi\)
\(338\) −4.31426e7 2.49084e7i −1.11726 0.645053i
\(339\) −3.26068e7 1.00579e7i −0.836968 0.258170i
\(340\) −5.84226e6 + 4.65905e6i −0.148643 + 0.118539i
\(341\) −1.40953e6 + 1.88088e7i −0.0355476 + 0.474350i
\(342\) −3.66892e7 1.76686e7i −0.917191 0.441696i
\(343\) 3.26692e7i 0.809573i
\(344\) −1.34075e7 + 3.49909e6i −0.329361 + 0.0859567i
\(345\) −1.70331e7 −0.414799
\(346\) −3.01277e7 + 6.25608e7i −0.727341 + 1.51034i
\(347\) 1.35946e7 + 1.01877e6i 0.325370 + 0.0243831i 0.236414 0.971652i \(-0.424028\pi\)
0.0889560 + 0.996036i \(0.471647\pi\)
\(348\) 1.13577e7 + 1.42421e7i 0.269496 + 0.337937i
\(349\) 3.19186e6 1.03478e7i 0.0750875 0.243428i −0.910246 0.414068i \(-0.864107\pi\)
0.985333 + 0.170640i \(0.0545837\pi\)
\(350\) −2.02813e7 + 3.51282e7i −0.473032 + 0.819316i
\(351\) −2.09406e6 + 1.20901e6i −0.0484248 + 0.0279581i
\(352\) −1.97865e7 + 4.51615e6i −0.453672 + 0.103548i
\(353\) 3.15712e6 + 475859.i 0.0717739 + 0.0108182i 0.184831 0.982770i \(-0.440826\pi\)
−0.113057 + 0.993588i \(0.536064\pi\)
\(354\) 2.30492e7 + 2.13865e7i 0.519572 + 0.482092i
\(355\) 1.90307e7 2.38637e7i 0.425372 0.533400i
\(356\) 2.33118e7 + 3.41922e7i 0.516685 + 0.757838i
\(357\) −2.09257e7 + 1.94162e7i −0.459913 + 0.426737i
\(358\) −6.55728e6 8.75008e7i −0.142914 1.90705i
\(359\) 3.01251e7 7.67575e7i 0.651096 1.65897i −0.0969261 0.995292i \(-0.530901\pi\)
0.748022 0.663674i \(-0.231004\pi\)
\(360\) −1.53450e6 + 6.72308e6i −0.0328896 + 0.144099i
\(361\) −7.23617e6 + 2.23206e6i −0.153811 + 0.0474444i
\(362\) −3.27852e7 + 4.80871e7i −0.691119 + 1.01369i
\(363\) −8.00622e6 5.31178e7i −0.167382 1.11050i
\(364\) 5.67561e6 2.22751e6i 0.117682 0.0461866i
\(365\) −2.08456e7 + 1.00387e7i −0.428683 + 0.206443i
\(366\) 7.63235e6 + 1.58487e7i 0.155674 + 0.323260i
\(367\) 1.66714e7 + 4.24780e7i 0.337267 + 0.859341i 0.994411 + 0.105577i \(0.0336688\pi\)
−0.657145 + 0.753765i \(0.728236\pi\)
\(368\) 3.06489e7 4.61957e6i 0.614994 0.0926955i
\(369\) −2.69012e7 1.83410e7i −0.535418 0.365042i
\(370\) 9.47217e6 + 3.07080e7i 0.187001 + 0.606243i
\(371\) 6.68301e7 + 1.52535e7i 1.30873 + 0.298709i
\(372\) 5.86696e7 + 2.30261e7i 1.13968 + 0.447293i
\(373\) −8.05710e7 + 6.03796e6i −1.55257 + 0.116349i −0.823195 0.567759i \(-0.807810\pi\)
−0.729380 + 0.684109i \(0.760191\pi\)
\(374\) −7.49125e6 8.07365e6i −0.143199 0.154332i
\(375\) −5.65027e7 + 3.85229e7i −1.07146 + 0.730507i
\(376\) 1.30050e7 + 1.03711e7i 0.244650 + 0.195102i
\(377\) −2.43429e6 + 2.62354e6i −0.0454306 + 0.0489625i
\(378\) −4.48535e6 + 2.97583e7i −0.0830464 + 0.550977i
\(379\) 2.18857e7 + 9.58876e7i 0.402016 + 1.76135i 0.619218 + 0.785219i \(0.287450\pi\)
−0.217202 + 0.976127i \(0.569693\pi\)
\(380\) −1.33076e7 2.30495e7i −0.242521 0.420059i
\(381\) −2.01056e7 1.16080e7i −0.363531 0.209885i
\(382\) −7.29705e7 2.25084e7i −1.30905 0.403789i
\(383\) 2.57145e7 2.05066e7i 0.457701 0.365004i −0.367331 0.930090i \(-0.619728\pi\)
0.825032 + 0.565086i \(0.191157\pi\)
\(384\) 3.64793e6 4.86783e7i 0.0644248 0.859689i
\(385\) 1.33587e7 + 6.43321e6i 0.234089 + 0.112732i
\(386\) 7.68075e7i 1.33549i
\(387\) 4.11973e7 + 4.91376e6i 0.710782 + 0.0847775i
\(388\) −2.10184e7 −0.359835
\(389\) 2.21238e7 4.59406e7i 0.375847 0.780454i −0.624153 0.781302i \(-0.714556\pi\)
1.00000 0.000848024i \(0.000269934\pi\)
\(390\) 9.31887e6 + 698353.i 0.157098 + 0.0117728i
\(391\) 8.21707e6 + 1.03039e7i 0.137463 + 0.172374i
\(392\) −1.72934e6 + 5.60640e6i −0.0287094 + 0.0930734i
\(393\) 1.74754e7 3.02683e7i 0.287905 0.498666i
\(394\) 1.38417e7 7.99152e6i 0.226309 0.130659i
\(395\) −2.10387e7 + 4.80195e6i −0.341372 + 0.0779160i
\(396\) 1.23197e7 + 1.85689e6i 0.198387 + 0.0299021i
\(397\) −1.94540e7 1.80506e7i −0.310911 0.288484i 0.509247 0.860621i \(-0.329924\pi\)
−0.820158 + 0.572137i \(0.806115\pi\)
\(398\) 3.93593e7 4.93550e7i 0.624307 0.782856i
\(399\) −5.72748e7 8.40066e7i −0.901664 1.32250i
\(400\) 3.53269e7 3.27786e7i 0.551983 0.512166i
\(401\) −747229. 9.97107e6i −0.0115883 0.154635i −0.999996 0.00281253i \(-0.999105\pi\)
0.988408 0.151823i \(-0.0485143\pi\)
\(402\) 8.09152e7 2.06169e8i 1.24552 3.17354i
\(403\) −2.75541e6 + 1.20722e7i −0.0420989 + 0.184447i
\(404\) 9.83767e6 3.03452e6i 0.149193 0.0460199i
\(405\) −2.73176e7 + 4.00676e7i −0.411224 + 0.603154i
\(406\) 6.63882e6 + 4.40457e7i 0.0992002 + 0.658150i
\(407\) −1.87818e7 + 7.37132e6i −0.278583 + 0.109336i
\(408\) 1.15230e7 5.54920e6i 0.169663 0.0817052i
\(409\) −2.09632e7 4.35305e7i −0.306399 0.636244i 0.689738 0.724059i \(-0.257726\pi\)
−0.996137 + 0.0878151i \(0.972012\pi\)
\(410\) −1.82506e7 4.65016e7i −0.264804 0.674709i
\(411\) 9.95520e7 1.50051e7i 1.43392 0.216128i
\(412\) −6.29522e7 4.29201e7i −0.900159 0.613718i
\(413\) 9.65370e6 + 3.12965e7i 0.137039 + 0.444269i
\(414\) −3.41202e7 7.78771e6i −0.480851 0.109751i
\(415\) 3.06794e7 + 1.20408e7i 0.429243 + 0.168465i
\(416\) −1.32867e7 + 995704.i −0.184560 + 0.0138309i
\(417\) −9.72266e7 1.04785e8i −1.34084 1.44508i
\(418\) 3.24118e7 2.20980e7i 0.443787 0.302569i
\(419\) 7.76650e7 + 6.19358e7i 1.05580 + 0.841975i 0.987803 0.155710i \(-0.0497665\pi\)
0.0680008 + 0.997685i \(0.478338\pi\)
\(420\) 3.36991e7 3.63190e7i 0.454852 0.490214i
\(421\) −1.83454e7 + 1.21714e8i −0.245856 + 1.63115i 0.436203 + 0.899848i \(0.356323\pi\)
−0.682059 + 0.731298i \(0.738915\pi\)
\(422\) 1.34970e7 + 5.91343e7i 0.179598 + 0.786868i
\(423\) −2.49028e7 4.31329e7i −0.329023 0.569885i
\(424\) −2.65975e7 1.53561e7i −0.348934 0.201457i
\(425\) 1.95808e7 + 6.03988e6i 0.255073 + 0.0786795i
\(426\) 1.17530e8 9.37273e7i 1.52027 1.21238i
\(427\) −1.36928e6 + 1.82718e7i −0.0175877 + 0.234691i
\(428\) −8.09852e7 3.90004e7i −1.03294 0.497437i
\(429\) 5.86729e6i 0.0743132i
\(430\) 4.79789e7 + 4.18362e7i 0.603455 + 0.526195i
\(431\) 1.95710e7 0.244445 0.122222 0.992503i \(-0.460998\pi\)
0.122222 + 0.992503i \(0.460998\pi\)
\(432\) 1.55134e7 3.22139e7i 0.192422 0.399569i
\(433\) −1.20055e8 8.99688e6i −1.47882 0.110823i −0.689271 0.724504i \(-0.742069\pi\)
−0.789554 + 0.613681i \(0.789688\pi\)
\(434\) 9.60888e7 + 1.20492e8i 1.17545 + 1.47397i
\(435\) −8.57218e6 + 2.77903e7i −0.104141 + 0.337618i
\(436\) −5.96970e7 + 1.03398e8i −0.720266 + 1.24754i
\(437\) −4.06519e7 + 2.34704e7i −0.487121 + 0.281239i
\(438\) −1.11094e8 + 2.53564e7i −1.32211 + 0.301763i
\(439\) −1.09810e8 1.65512e7i −1.29792 0.195630i −0.536505 0.843897i \(-0.680256\pi\)
−0.761413 + 0.648267i \(0.775494\pi\)
\(440\) −4.86967e6 4.51840e6i −0.0571665 0.0530428i
\(441\) 1.09529e7 1.37346e7i 0.127707 0.160140i
\(442\) −4.07312e6 5.97417e6i −0.0471694 0.0691849i
\(443\) −1.17043e8 + 1.08600e8i −1.34628 + 1.24916i −0.403822 + 0.914838i \(0.632318\pi\)
−0.942457 + 0.334327i \(0.891491\pi\)
\(444\) 5.03833e6 + 6.72318e7i 0.0575622 + 0.768115i
\(445\) −2.41373e7 + 6.15009e7i −0.273911 + 0.697913i
\(446\) −8.66599e6 + 3.79682e7i −0.0976818 + 0.427972i
\(447\) 1.22476e8 3.77788e7i 1.37129 0.422985i
\(448\) −2.49791e7 + 3.66376e7i −0.277807 + 0.407467i
\(449\) −3.51146e6 2.32970e7i −0.0387926 0.257372i 0.961025 0.276461i \(-0.0891616\pi\)
−0.999818 + 0.0190887i \(0.993924\pi\)
\(450\) −5.06534e7 + 1.98800e7i −0.555867 + 0.218162i
\(451\) 2.82583e7 1.36085e7i 0.308046 0.148347i
\(452\) −1.98822e7 4.12857e7i −0.215302 0.447079i
\(453\) 4.34079e7 + 1.10602e8i 0.466955 + 1.18978i
\(454\) −1.51627e8 + 2.28541e7i −1.62035 + 0.244229i
\(455\) 8.04261e6 + 5.48336e6i 0.0853813 + 0.0582120i
\(456\) 1.34270e7 + 4.35294e7i 0.141607 + 0.459080i
\(457\) 1.20633e8 + 2.75337e7i 1.26392 + 0.288480i 0.801399 0.598130i \(-0.204089\pi\)
0.462517 + 0.886611i \(0.346947\pi\)
\(458\) 1.46477e8 + 5.74880e7i 1.52466 + 0.598385i
\(459\) 1.51605e7 1.13612e6i 0.156774 0.0117486i
\(460\) −1.55582e7 1.67678e7i −0.159840 0.172267i
\(461\) 1.23727e8 8.43557e7i 1.26288 0.861017i 0.268133 0.963382i \(-0.413593\pi\)
0.994747 + 0.102365i \(0.0326410\pi\)
\(462\) 5.70925e7 + 4.55298e7i 0.578966 + 0.461710i
\(463\) −1.14977e8 + 1.23916e8i −1.15842 + 1.24848i −0.194912 + 0.980821i \(0.562442\pi\)
−0.963512 + 0.267664i \(0.913748\pi\)
\(464\) 7.88745e6 5.23298e7i 0.0789556 0.523836i
\(465\) 2.23905e7 + 9.80990e7i 0.222692 + 0.975676i
\(466\) 8.97568e6 + 1.55463e7i 0.0886971 + 0.153628i
\(467\) −8.66691e7 5.00384e7i −0.850968 0.491307i 0.0100090 0.999950i \(-0.496814\pi\)
−0.860978 + 0.508643i \(0.830147\pi\)
\(468\) 7.81589e6 + 2.41088e6i 0.0762501 + 0.0235201i
\(469\) 1.80367e8 1.43838e8i 1.74839 1.39429i
\(470\) 5.71063e6 7.62031e7i 0.0550035 0.733971i
\(471\) 1.69002e8 + 8.13873e7i 1.61745 + 0.778922i
\(472\) 1.46738e7i 0.139546i
\(473\) −2.39424e7 + 3.20024e7i −0.226248 + 0.302412i
\(474\) −1.06282e8 −0.997985
\(475\) −3.16667e7 + 6.57565e7i −0.295476 + 0.613561i
\(476\) −3.82275e7 2.86475e6i −0.354450 0.0265623i
\(477\) 5.73352e7 + 7.18961e7i 0.528282 + 0.662445i
\(478\) −9.65472e6 + 3.12998e7i −0.0884008 + 0.286588i
\(479\) 5.78075e7 1.00125e8i 0.525990 0.911041i −0.473552 0.880766i \(-0.657028\pi\)
0.999542 0.0302750i \(-0.00963832\pi\)
\(480\) −9.37653e7 + 5.41354e7i −0.847849 + 0.489506i
\(481\) −1.29139e7 + 2.94751e6i −0.116044 + 0.0264862i
\(482\) −9.20905e7 1.38804e7i −0.822382 0.123954i
\(483\) −6.40550e7 5.94344e7i −0.568476 0.527468i
\(484\) 4.49773e7 5.63998e7i 0.396696 0.497441i
\(485\) −1.89027e7 2.77251e7i −0.165691 0.243024i
\(486\) −1.33735e8 + 1.24088e8i −1.16503 + 1.08099i
\(487\) −9.63708e6 1.28598e8i −0.0834370 1.11339i −0.869068 0.494693i \(-0.835280\pi\)
0.785631 0.618696i \(-0.212339\pi\)
\(488\) 2.99921e6 7.64185e6i 0.0258075 0.0657566i
\(489\) 3.01895e7 1.32269e8i 0.258184 1.13118i
\(490\) 2.57559e7 7.94464e6i 0.218921 0.0675283i
\(491\) −1.04835e8 + 1.53765e8i −0.885648 + 1.29901i 0.0678766 + 0.997694i \(0.478378\pi\)
−0.953525 + 0.301314i \(0.902575\pi\)
\(492\) −1.56203e7 1.03634e8i −0.131158 0.870176i
\(493\) 2.09466e7 8.22093e6i 0.174813 0.0686089i
\(494\) 2.32030e7 1.11740e7i 0.192470 0.0926888i
\(495\) 8.63018e6 + 1.79208e7i 0.0711548 + 0.147755i
\(496\) −6.68941e7 1.70443e8i −0.548205 1.39680i
\(497\) 1.54835e8 2.33377e7i 1.26125 0.190103i
\(498\) 1.34114e8 + 9.14373e7i 1.08589 + 0.740347i
\(499\) 5.33281e7 + 1.72885e8i 0.429195 + 1.39142i 0.869662 + 0.493647i \(0.164336\pi\)
−0.440468 + 0.897769i \(0.645187\pi\)
\(500\) −8.95327e7 2.04353e7i −0.716262 0.163482i
\(501\) 1.14552e8 + 4.49583e7i 0.910938 + 0.357517i
\(502\) 2.85444e8 2.13911e7i 2.25637 0.169091i
\(503\) −6.70451e7 7.22574e7i −0.526821 0.567778i 0.412439 0.910985i \(-0.364677\pi\)
−0.939260 + 0.343207i \(0.888487\pi\)
\(504\) −2.92297e7 + 1.99285e7i −0.228314 + 0.155662i
\(505\) 1.28502e7 + 1.02477e7i 0.0997785 + 0.0795707i
\(506\) 2.29312e7 2.47140e7i 0.177001 0.190762i
\(507\) 2.48690e7 1.64995e8i 0.190824 1.26604i
\(508\) −6.93749e6 3.03951e7i −0.0529190 0.231853i
\(509\) 2.71482e7 + 4.70221e7i 0.205868 + 0.356573i 0.950409 0.311003i \(-0.100665\pi\)
−0.744541 + 0.667577i \(0.767332\pi\)
\(510\) −5.08838e7 2.93778e7i −0.383592 0.221467i
\(511\) −1.13421e8 3.49857e7i −0.850022 0.262197i
\(512\) 1.11481e8 8.89028e7i 0.830595 0.662377i
\(513\) −4.04656e6 + 5.39976e7i −0.0299733 + 0.399966i
\(514\) −1.17144e8 5.64135e7i −0.862642 0.415426i
\(515\) 1.21640e8i 0.890539i
\(516\) 7.86043e7 + 1.07970e8i 0.572134 + 0.785875i
\(517\) 4.79786e7 0.347197
\(518\) −7.15295e7 + 1.48533e8i −0.514631 + 1.06864i
\(519\) −2.31926e8 1.73804e7i −1.65900 0.124325i
\(520\) −2.71914e6 3.40969e6i −0.0193384 0.0242496i
\(521\) 4.24943e7 1.37763e8i 0.300481 0.974136i −0.671881 0.740659i \(-0.734513\pi\)
0.972362 0.233477i \(-0.0750103\pi\)
\(522\) −2.98775e7 + 5.17493e7i −0.210055 + 0.363825i
\(523\) −3.49516e7 + 2.01793e7i −0.244322 + 0.141059i −0.617161 0.786837i \(-0.711717\pi\)
0.372840 + 0.927896i \(0.378384\pi\)
\(524\) 4.57589e7 1.04442e7i 0.318040 0.0725905i
\(525\) −1.34344e8 2.02492e7i −0.928414 0.139936i
\(526\) 2.15102e8 + 1.99586e8i 1.47805 + 1.37143i
\(527\) 4.85416e7 6.08693e7i 0.331652 0.415878i
\(528\) −4.88728e7 7.16833e7i −0.332021 0.486986i
\(529\) 7.89450e7 7.32502e7i 0.533283 0.494814i
\(530\) 1.05438e7 + 1.40698e8i 0.0708224 + 0.945060i
\(531\) −1.60518e7 + 4.08993e7i −0.107211 + 0.273170i
\(532\) 3.03826e7 1.33115e8i 0.201785 0.884080i
\(533\) 1.96760e7 6.06924e6i 0.129944 0.0400823i
\(534\) −1.83298e8 + 2.68849e8i −1.20374 + 1.76557i
\(535\) −2.13882e7 1.41902e8i −0.139673 0.926672i
\(536\) −9.62155e7 + 3.77618e7i −0.624814 + 0.245221i
\(537\) 2.64795e8 1.27519e8i 1.70997 0.823477i
\(538\) 2.25816e7 + 4.68912e7i 0.145013 + 0.301123i
\(539\) 6.18258e6 + 1.57529e7i 0.0394824 + 0.100599i
\(540\) −2.60918e7 + 3.93270e6i −0.165700 + 0.0249752i
\(541\) −1.71595e7 1.16992e7i −0.108371 0.0738862i 0.507922 0.861403i \(-0.330414\pi\)
−0.616293 + 0.787517i \(0.711366\pi\)
\(542\) −6.95074e6 2.25337e7i −0.0436549 0.141526i
\(543\) −1.90050e8 4.33777e7i −1.18705 0.270936i
\(544\) 7.79821e7 + 3.06057e7i 0.484394 + 0.190111i
\(545\) −1.90080e8 + 1.42445e7i −1.17421 + 0.0879950i
\(546\) 3.26079e7 + 3.51429e7i 0.200329 + 0.215904i
\(547\) 6.69371e7 4.56370e7i 0.408983 0.278840i −0.341303 0.939953i \(-0.610868\pi\)
0.750286 + 0.661114i \(0.229916\pi\)
\(548\) 1.05703e8 + 8.42953e7i 0.642311 + 0.512226i
\(549\) −1.67189e7 + 1.80187e7i −0.101040 + 0.108895i
\(550\) 7.81261e6 5.18333e7i 0.0469579 0.311545i
\(551\) 1.78343e7 + 7.81372e7i 0.106611 + 0.467092i
\(552\) 1.95749e7 + 3.39047e7i 0.116381 + 0.201578i
\(553\) −9.58741e7 5.53530e7i −0.566926 0.327315i
\(554\) 1.40357e8 + 4.32945e7i 0.825479 + 0.254627i
\(555\) −8.41538e7 + 6.71104e7i −0.492260 + 0.392564i
\(556\) 1.43452e7 1.91424e8i 0.0834608 1.11371i
\(557\) 1.04274e7 + 5.02157e6i 0.0603407 + 0.0290586i 0.463811 0.885934i \(-0.346482\pi\)
−0.403470 + 0.914993i \(0.632196\pi\)
\(558\) 2.06745e8i 1.18996i
\(559\) −1.86740e7 + 1.84324e7i −0.106906 + 0.105523i
\(560\) −1.43935e8 −0.819599
\(561\) 1.60059e7 3.32367e7i 0.0906551 0.188247i
\(562\) −1.98644e8 1.48863e7i −1.11909 0.0838644i
\(563\) −1.71945e8 2.15612e8i −0.963526 1.20822i −0.978059 0.208329i \(-0.933198\pi\)
0.0145331 0.999894i \(-0.495374\pi\)
\(564\) 4.72556e7 1.53199e8i 0.263400 0.853922i
\(565\) 3.65788e7 6.33563e7i 0.202808 0.351273i
\(566\) −2.98306e8 + 1.72227e8i −1.64518 + 0.949845i
\(567\) −2.42540e8 + 5.53583e7i −1.33056 + 0.303692i
\(568\) −6.93716e7 1.04561e7i −0.378561 0.0570590i
\(569\) 2.06557e8 + 1.91657e8i 1.12125 + 1.04037i 0.998853 + 0.0478889i \(0.0152493\pi\)
0.122399 + 0.992481i \(0.460941\pi\)
\(570\) 1.30479e8 1.63616e8i 0.704557 0.883487i
\(571\) −7.81994e7 1.14697e8i −0.420044 0.616092i 0.556645 0.830751i \(-0.312088\pi\)
−0.976689 + 0.214659i \(0.931136\pi\)
\(572\) −5.77588e6 + 5.35924e6i −0.0308624 + 0.0286362i
\(573\) −1.91140e7 2.55058e8i −0.101599 1.35574i
\(574\) 9.36267e7 2.38557e8i 0.495067 1.26141i
\(575\) −1.39576e7 + 6.11522e7i −0.0734187 + 0.321669i
\(576\) −5.68431e7 + 1.75338e7i −0.297447 + 0.0917504i
\(577\) −7.49112e6 + 1.09875e7i −0.0389959 + 0.0571965i −0.845242 0.534384i \(-0.820544\pi\)
0.806246 + 0.591581i \(0.201496\pi\)
\(578\) −3.12109e7 2.07071e8i −0.161630 1.07235i
\(579\) 2.39479e8 9.39884e7i 1.23376 0.484215i
\(580\) −3.51873e7 + 1.69453e7i −0.180344 + 0.0868491i
\(581\) 7.33590e7 + 1.52332e8i 0.374046 + 0.776715i
\(582\) −6.03780e7 1.53841e8i −0.306274 0.780372i
\(583\) −8.75958e7 + 1.32029e7i −0.442056 + 0.0666293i
\(584\) 4.39385e7 + 2.99568e7i 0.220601 + 0.150403i
\(585\) 3.84898e6 + 1.24781e7i 0.0192255 + 0.0623275i
\(586\) −1.94857e8 4.44748e7i −0.968328 0.221015i
\(587\) −6.70739e7 2.63245e7i −0.331619 0.130151i 0.193689 0.981063i \(-0.437955\pi\)
−0.525308 + 0.850912i \(0.676050\pi\)
\(588\) 5.63897e7 4.22582e6i 0.277375 0.0207864i
\(589\) 1.88611e8 + 2.03274e8i 0.923040 + 0.994801i
\(590\) −5.56983e7 + 3.79744e7i −0.271197 + 0.184899i
\(591\) 4.18548e7 + 3.33781e7i 0.202760 + 0.161696i
\(592\) 1.33222e8 1.43580e8i 0.642114 0.692034i
\(593\) 2.96292e7 1.96577e8i 0.142087 0.942688i −0.798221 0.602365i \(-0.794225\pi\)
0.940308 0.340324i \(-0.110537\pi\)
\(594\) −8.65405e6 3.79159e7i −0.0412915 0.180910i
\(595\) −3.06007e7 5.30019e7i −0.145271 0.251617i
\(596\) 1.49061e8 + 8.60602e7i 0.704084 + 0.406503i
\(597\) 2.02048e8 + 6.23235e7i 0.949580 + 0.292906i
\(598\) 1.73045e7 1.37999e7i 0.0809198 0.0645314i
\(599\) −7.18616e6 + 9.58926e7i −0.0334361 + 0.446174i 0.955212 + 0.295923i \(0.0956273\pi\)
−0.988648 + 0.150251i \(0.951992\pi\)
\(600\) 5.48426e7 + 2.64108e7i 0.253901 + 0.122272i
\(601\) 3.30356e7i 0.152181i 0.997101 + 0.0760903i \(0.0242437\pi\)
−0.997101 + 0.0760903i \(0.975756\pi\)
\(602\) 3.44495e7 + 3.24744e8i 0.157904 + 1.48851i
\(603\) 3.09482e8 1.41151
\(604\) −6.92293e7 + 1.43756e8i −0.314181 + 0.652403i
\(605\) 1.14846e8 + 8.60655e6i 0.518623 + 0.0388654i
\(606\) 5.04707e7 + 6.32882e7i 0.226789 + 0.284384i
\(607\) 6.21920e7 2.01621e8i 0.278079 0.901510i −0.703539 0.710656i \(-0.748398\pi\)
0.981618 0.190854i \(-0.0611257\pi\)
\(608\) −1.49189e8 + 2.58403e8i −0.663783 + 1.14971i
\(609\) −1.29206e8 + 7.45974e7i −0.572048 + 0.330272i
\(610\) −3.67682e7 + 8.39211e6i −0.161988 + 0.0369727i
\(611\) 3.11463e7 + 4.69455e6i 0.136547 + 0.0205812i
\(612\) −3.76980e7 3.49787e7i −0.164462 0.152598i
\(613\) −7.11063e7 + 8.91645e7i −0.308693 + 0.387089i −0.911843 0.410539i \(-0.865341\pi\)
0.603150 + 0.797628i \(0.293912\pi\)
\(614\) 3.19352e8 + 4.68403e8i 1.37964 + 2.02355i
\(615\) 1.22655e8 1.13807e8i 0.527302 0.489265i
\(616\) −2.54674e6 3.39839e7i −0.0108954 0.145389i
\(617\) −8.15016e7 + 2.07663e8i −0.346985 + 0.884104i 0.645724 + 0.763571i \(0.276556\pi\)
−0.992709 + 0.120533i \(0.961540\pi\)
\(618\) 1.33308e8 5.84062e8i 0.564797 2.47454i
\(619\) −2.42085e8 + 7.46734e7i −1.02070 + 0.314843i −0.759545 0.650455i \(-0.774578\pi\)
−0.261151 + 0.965298i \(0.584102\pi\)
\(620\) −7.61190e7 + 1.11646e8i −0.319388 + 0.468456i
\(621\) 6.93603e6 + 4.60175e7i 0.0289625 + 0.192154i
\(622\) 4.40959e8 1.73064e8i 1.83243 0.719175i
\(623\) −3.05368e8 + 1.47058e8i −1.26287 + 0.608168i
\(624\) −2.47128e7 5.13168e7i −0.101711 0.211206i
\(625\) 2.80935e6 + 7.15812e6i 0.0115071 + 0.0293197i
\(626\) −1.88590e8 + 2.84254e7i −0.768768 + 0.115873i
\(627\) 1.08561e8 + 7.40159e7i 0.440426 + 0.300277i
\(628\) 7.42490e7 + 2.40709e8i 0.299786 + 0.971883i
\(629\) 8.11944e7 + 1.85321e7i 0.326268 + 0.0744685i
\(630\) 1.51287e8 + 5.93759e7i 0.605036 + 0.237459i
\(631\) −1.18316e8 + 8.86653e6i −0.470928 + 0.0352911i −0.308081 0.951360i \(-0.599687\pi\)
−0.162847 + 0.986651i \(0.552068\pi\)
\(632\) 3.37366e7 + 3.63594e7i 0.133644 + 0.144034i
\(633\) −1.67859e8 + 1.14444e8i −0.661810 + 0.451215i
\(634\) 2.89525e8 + 2.30889e8i 1.13611 + 0.906014i
\(635\) 3.38548e7 3.64868e7i 0.132221 0.142500i
\(636\) −4.41179e7 + 2.92703e8i −0.171492 + 1.13778i
\(637\) 2.47217e6 + 1.08313e7i 0.00956447 + 0.0419047i
\(638\) −2.87815e7 4.98510e7i −0.110828 0.191960i
\(639\) 1.81916e8 + 1.05029e8i 0.697219 + 0.402539i
\(640\) 1.00007e8 + 3.08481e7i 0.381496 + 0.117676i
\(641\) 2.66935e8 2.12874e8i 1.01352 0.808255i 0.0319747 0.999489i \(-0.489820\pi\)
0.981544 + 0.191234i \(0.0612490\pi\)
\(642\) 5.28169e7 7.04792e8i 0.199603 2.66352i
\(643\) 9.16495e6 + 4.41361e6i 0.0344744 + 0.0166020i 0.451042 0.892503i \(-0.351053\pi\)
−0.416567 + 0.909105i \(0.636767\pi\)
\(644\) 1.17345e8i 0.439346i
\(645\) −7.17301e7 + 2.00788e8i −0.267314 + 0.748271i
\(646\) −1.61921e8 −0.600630
\(647\) 5.42323e6 1.12615e7i 0.0200238 0.0415797i −0.890717 0.454558i \(-0.849797\pi\)
0.910741 + 0.412978i \(0.135511\pi\)
\(648\) 1.11149e8 + 8.32948e6i 0.408490 + 0.0306121i
\(649\) −2.63891e7 3.30908e7i −0.0965361 0.121052i
\(650\) 1.01434e7 3.28842e7i 0.0369356 0.119742i
\(651\) −2.58099e8 + 4.47040e8i −0.935498 + 1.62033i
\(652\) 1.57783e8 9.10963e7i 0.569270 0.328668i
\(653\) −1.25852e8 + 2.87249e7i −0.451982 + 0.103162i −0.442451 0.896793i \(-0.645891\pi\)
−0.00953090 + 0.999955i \(0.503034\pi\)
\(654\) −9.28294e8 1.39918e8i −3.31858 0.500196i
\(655\) 5.49297e7 + 5.09673e7i 0.195471 + 0.181371i
\(656\) −1.89835e8 + 2.38046e8i −0.672458 + 0.843236i
\(657\) −8.96968e7 1.31561e8i −0.316286 0.463907i
\(658\) 2.87374e8 2.66644e8i 1.00872 0.935953i
\(659\) 9.17915e6 + 1.22487e8i 0.0320735 + 0.427991i 0.990009 + 0.141006i \(0.0450338\pi\)
−0.957935 + 0.286985i \(0.907347\pi\)
\(660\) −2.33915e7 + 5.96007e7i −0.0813630 + 0.207310i
\(661\) 2.32859e7 1.02022e8i 0.0806285 0.353256i −0.918480 0.395467i \(-0.870583\pi\)
0.999109 + 0.0422104i \(0.0134400\pi\)
\(662\) −3.09208e8 + 9.53780e7i −1.06580 + 0.328756i
\(663\) 1.36427e7 2.00101e7i 0.0468122 0.0686609i
\(664\) −1.12902e7 7.49054e7i −0.0385653 0.255864i
\(665\) 2.02915e8 7.96383e7i 0.690000 0.270805i
\(666\) −1.99257e8 + 9.59573e7i −0.674515 + 0.324829i
\(667\) 2.98861e7 + 6.20591e7i 0.100714 + 0.209136i
\(668\) 6.03748e7 + 1.53832e8i 0.202547 + 0.516082i
\(669\) −1.28986e8 + 1.94415e7i −0.430788 + 0.0649308i
\(670\) 3.92331e8 + 2.67487e8i 1.30445 + 0.889360i
\(671\) −6.97943e6 2.26268e7i −0.0231022 0.0748954i
\(672\) −5.41512e8 1.23596e8i −1.78443 0.407285i
\(673\) −3.35021e8 1.31486e8i −1.09907 0.431355i −0.254652 0.967033i \(-0.581961\pi\)
−0.844422 + 0.535678i \(0.820056\pi\)
\(674\) −1.67999e8 + 1.25898e7i −0.548689 + 0.0411186i
\(675\) 4.92152e7 + 5.30414e7i 0.160025 + 0.172466i
\(676\) 1.85140e8 1.26226e8i 0.599321 0.408610i
\(677\) 2.01523e8 + 1.60709e8i 0.649470 + 0.517935i 0.891899 0.452234i \(-0.149373\pi\)
−0.242429 + 0.970169i \(0.577944\pi\)
\(678\) 2.45070e8 2.64123e8i 0.786324 0.847456i
\(679\) 2.56567e7 1.70221e8i 0.0819581 0.543757i
\(680\) 6.10159e6 + 2.67328e7i 0.0194051 + 0.0850194i
\(681\) −2.56802e8 4.44793e8i −0.813123 1.40837i
\(682\) −1.72479e8 9.95807e7i −0.543729 0.313922i
\(683\) 1.67972e8 + 5.18124e7i 0.527198 + 0.162619i 0.546917 0.837187i \(-0.315801\pi\)
−0.0197196 + 0.999806i \(0.506277\pi\)
\(684\) 1.43205e8 1.14203e8i 0.447498 0.356868i
\(685\) −1.61302e7 + 2.15242e8i −0.0501842 + 0.669662i
\(686\) −3.10796e8 1.49671e8i −0.962727 0.463625i
\(687\) 5.27049e8i 1.62548i
\(688\) 7.46127e7 3.80745e8i 0.229112 1.16915i
\(689\) −5.81565e7 −0.177804
\(690\) 7.80361e7 1.62044e8i 0.237546 0.493270i
\(691\) −1.76846e8 1.32528e7i −0.535995 0.0401673i −0.196017 0.980601i \(-0.562801\pi\)
−0.339978 + 0.940433i \(0.610420\pi\)
\(692\) −1.94733e8 2.44188e8i −0.587654 0.736895i
\(693\) −3.00768e7 + 9.75066e7i −0.0903716 + 0.292978i
\(694\) −7.19745e7 + 1.24664e8i −0.215328 + 0.372959i
\(695\) 2.65407e8 1.53233e8i 0.790601 0.456454i
\(696\) 6.51684e7 1.48743e7i 0.193290 0.0441172i
\(697\) −1.28016e8 1.92953e7i −0.378065 0.0569841i
\(698\) 8.38194e7 + 7.77730e7i 0.246478 + 0.228698i
\(699\) −3.74886e7 + 4.70092e7i −0.109766 + 0.137642i
\(700\) −1.02778e8 1.50747e8i −0.299643 0.439496i
\(701\) 2.70389e8 2.50885e8i 0.784938 0.728316i −0.182008 0.983297i \(-0.558260\pi\)
0.966946 + 0.254981i \(0.0820692\pi\)
\(702\) −1.90801e6 2.54607e7i −0.00551531 0.0735967i
\(703\) −1.08371e8 + 2.76126e8i −0.311924 + 0.794769i
\(704\) 1.27513e7 5.58671e7i 0.0365457 0.160117i
\(705\) 2.44582e8 7.54436e7i 0.698003 0.215306i
\(706\) −1.89911e7 + 2.78549e7i −0.0539680 + 0.0791566i
\(707\) 1.25670e7 + 8.33765e7i 0.0355609 + 0.235931i
\(708\) −1.31653e8 + 5.16699e7i −0.370962 + 0.145592i
\(709\) −4.41567e8 + 2.12647e8i −1.23896 + 0.596652i −0.934531 0.355882i \(-0.884180\pi\)
−0.304430 + 0.952535i \(0.598466\pi\)
\(710\) 1.39838e8 + 2.90377e8i 0.390706 + 0.811310i
\(711\) −5.42578e7 1.38247e8i −0.150957 0.384632i
\(712\) 1.50158e8 2.26326e7i 0.416013 0.0627039i
\(713\) 1.96908e8 + 1.34250e8i 0.543244 + 0.370377i
\(714\) −8.88453e7 2.88029e8i −0.244084 0.791302i
\(715\) −1.22638e7 2.79914e6i −0.0335512 0.00765783i
\(716\) 3.67398e8 + 1.44193e8i 1.00092 + 0.392831i
\(717\) −1.09404e8 + 8.19872e6i −0.296809 + 0.0222428i
\(718\) 5.92211e8 + 6.38251e8i 1.59994 + 1.72432i
\(719\) 5.04857e8 3.44206e8i 1.35826 0.926044i 0.358286 0.933612i \(-0.383361\pi\)
0.999971 + 0.00756748i \(0.00240883\pi\)
\(720\) −1.50963e8 1.20389e8i −0.404458 0.322545i
\(721\) 4.24441e8 4.57439e8i 1.13243 1.22047i
\(722\) 1.19174e7 7.90668e7i 0.0316643 0.210079i
\(723\) −6.94122e7 3.04115e8i −0.183663 0.804679i
\(724\) −1.30892e8 2.26711e8i −0.344902 0.597388i
\(725\) 9.27481e7 + 5.35482e7i 0.243384 + 0.140518i
\(726\) 5.42012e8 + 1.67189e8i 1.41644 + 0.436915i
\(727\) −1.12478e7 + 8.96984e6i −0.0292729 + 0.0233443i −0.638017 0.770022i \(-0.720245\pi\)
0.608744 + 0.793367i \(0.291674\pi\)
\(728\) 1.67194e6 2.23105e7i 0.00433339 0.0578250i
\(729\) −1.30487e8 6.28393e7i −0.336810 0.162199i
\(730\) 2.44305e8i 0.628006i
\(731\) 1.56067e8 5.34718e7i 0.399538 0.136890i
\(732\) −7.91231e7 −0.201730
\(733\) 2.78648e8 5.78619e8i 0.707529 1.46920i −0.167876 0.985808i \(-0.553691\pi\)
0.875405 0.483390i \(-0.160595\pi\)
\(734\) −4.80490e8 3.60077e7i −1.21506 0.0910558i
\(735\) 5.62878e7 + 7.05827e7i 0.141760 + 0.177761i
\(736\) −7.55855e7 + 2.45042e8i −0.189586 + 0.614621i
\(737\) −1.49065e8 + 2.58188e8i −0.372368 + 0.644961i
\(738\) 2.97731e8 1.71895e8i 0.740722 0.427656i
\(739\) −3.15397e8 + 7.19872e7i −0.781491 + 0.178370i −0.594612 0.804013i \(-0.702694\pi\)
−0.186879 + 0.982383i \(0.559837\pi\)
\(740\) −1.42932e8 2.15435e7i −0.352723 0.0531644i
\(741\) 6.32327e7 + 5.86714e7i 0.155413 + 0.144202i
\(742\) −4.51290e8 + 5.65900e8i −1.10470 + 1.38525i
\(743\) −1.34819e8 1.97744e8i −0.328690 0.482099i 0.625950 0.779863i \(-0.284711\pi\)
−0.954639 + 0.297764i \(0.903759\pi\)
\(744\) 1.69536e8 1.57306e8i 0.411664 0.381968i
\(745\) 2.05351e7 + 2.74022e8i 0.0496625 + 0.662700i
\(746\) 3.11688e8 7.94169e8i 0.750765 1.91292i
\(747\) −5.04712e7 + 2.21129e8i −0.121083 + 0.530498i
\(748\) 4.73388e7 1.46021e7i 0.113113 0.0348907i
\(749\) 4.14710e8 6.08268e8i 0.986958 1.44760i
\(750\) −1.07622e8 7.14023e8i −0.255103 1.69250i
\(751\) −1.42863e8 + 5.60697e7i −0.337288 + 0.132376i −0.527939 0.849282i \(-0.677035\pi\)
0.190651 + 0.981658i \(0.438940\pi\)
\(752\) −4.19632e8 + 2.02084e8i −0.986768 + 0.475202i