Properties

Label 43.7.d.a.7.16
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.16
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.6

$q$-expansion

\(f(q)\) \(=\) \(q+8.15234i q^{2} +(41.5767 - 24.0043i) q^{3} -2.46071 q^{4} +(-26.4676 + 15.2811i) q^{5} +(195.692 + 338.948i) q^{6} +(6.27128 + 3.62073i) q^{7} +501.689i q^{8} +(787.917 - 1364.71i) q^{9} +O(q^{10})\) \(q+8.15234i q^{2} +(41.5767 - 24.0043i) q^{3} -2.46071 q^{4} +(-26.4676 + 15.2811i) q^{5} +(195.692 + 338.948i) q^{6} +(6.27128 + 3.62073i) q^{7} +501.689i q^{8} +(787.917 - 1364.71i) q^{9} +(-124.577 - 215.773i) q^{10} +1439.76 q^{11} +(-102.309 + 59.0678i) q^{12} +(1145.73 - 1984.46i) q^{13} +(-29.5174 + 51.1257i) q^{14} +(-733.625 + 1270.68i) q^{15} -4247.43 q^{16} +(-3899.16 + 6753.54i) q^{17} +(11125.6 + 6423.37i) q^{18} +(5660.64 - 3268.17i) q^{19} +(65.1293 - 37.6024i) q^{20} +347.653 q^{21} +11737.5i q^{22} +(1004.12 + 1739.19i) q^{23} +(12042.7 + 20858.6i) q^{24} +(-7345.48 + 12722.7i) q^{25} +(16178.0 + 9340.35i) q^{26} -40655.4i q^{27} +(-15.4318 - 8.90958i) q^{28} +(-33780.2 - 19503.0i) q^{29} +(-10359.0 - 5980.77i) q^{30} +(-11411.5 - 19765.3i) q^{31} -2518.39i q^{32} +(59860.7 - 34560.6i) q^{33} +(-55057.2 - 31787.3i) q^{34} -221.315 q^{35} +(-1938.84 + 3358.17i) q^{36} +(-30246.5 + 17462.8i) q^{37} +(26643.3 + 46147.5i) q^{38} -110010. i q^{39} +(-7666.36 - 13278.5i) q^{40} -33522.3 q^{41} +2834.19i q^{42} +(39701.1 + 68885.3i) q^{43} -3542.85 q^{44} +48160.9i q^{45} +(-14178.5 + 8185.93i) q^{46} +10418.8 q^{47} +(-176594. + 101957. i) q^{48} +(-58798.3 - 101842. i) q^{49} +(-103720. - 59882.9i) q^{50} +374387. i q^{51} +(-2819.30 + 4883.18i) q^{52} +(-15557.7 - 26946.7i) q^{53} +331437. q^{54} +(-38107.1 + 22001.2i) q^{55} +(-1816.48 + 3146.24i) q^{56} +(156901. - 271760. i) q^{57} +(158995. - 275388. i) q^{58} -140030. q^{59} +(1805.24 - 3126.77i) q^{60} +(-117712. - 67961.0i) q^{61} +(161133. - 93030.5i) q^{62} +(9882.51 - 5705.67i) q^{63} -251305. q^{64} +70031.8i q^{65} +(281750. + 488005. i) q^{66} +(-115099. - 199357. i) q^{67} +(9594.71 - 16618.5i) q^{68} +(83496.1 + 48206.5i) q^{69} -1804.23i q^{70} +(391431. + 225993. i) q^{71} +(684662. + 395290. i) q^{72} +(-374956. - 216481. i) q^{73} +(-142363. - 246580. i) q^{74} +705293. i q^{75} +(-13929.2 + 8042.04i) q^{76} +(9029.17 + 5212.99i) q^{77} +896836. q^{78} +(78420.4 - 135828. i) q^{79} +(112419. - 64905.4i) q^{80} +(-401515. - 695444. i) q^{81} -273285. i q^{82} +(372851. + 645797. i) q^{83} -855.474 q^{84} -238334. i q^{85} +(-561577. + 323657. i) q^{86} -1.87263e6 q^{87} +722315. i q^{88} +(97786.0 - 56456.8i) q^{89} -392625. q^{90} +(14370.3 - 8296.72i) q^{91} +(-2470.85 - 4279.64i) q^{92} +(-948906. - 547851. i) q^{93} +84937.8i q^{94} +(-99882.5 + 173002. i) q^{95} +(-60452.4 - 104707. i) q^{96} -1.45590e6 q^{97} +(830248. - 479344. i) q^{98} +(1.13442e6 - 1.96486e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 8.15234i 1.01904i 0.860458 + 0.509522i \(0.170178\pi\)
−0.860458 + 0.509522i \(0.829822\pi\)
\(3\) 41.5767 24.0043i 1.53988 0.889050i 0.541035 0.841000i \(-0.318033\pi\)
0.998845 0.0480495i \(-0.0153005\pi\)
\(4\) −2.46071 −0.0384487
\(5\) −26.4676 + 15.2811i −0.211741 + 0.122249i −0.602120 0.798405i \(-0.705677\pi\)
0.390379 + 0.920654i \(0.372344\pi\)
\(6\) 195.692 + 338.948i 0.905980 + 1.56920i
\(7\) 6.27128 + 3.62073i 0.0182836 + 0.0105561i 0.509114 0.860699i \(-0.329973\pi\)
−0.490830 + 0.871255i \(0.663307\pi\)
\(8\) 501.689i 0.979862i
\(9\) 787.917 1364.71i 1.08082 1.87203i
\(10\) −124.577 215.773i −0.124577 0.215773i
\(11\) 1439.76 1.08172 0.540858 0.841114i \(-0.318100\pi\)
0.540858 + 0.841114i \(0.318100\pi\)
\(12\) −102.309 + 59.0678i −0.0592063 + 0.0341828i
\(13\) 1145.73 1984.46i 0.521496 0.903257i −0.478192 0.878255i \(-0.658708\pi\)
0.999687 0.0250014i \(-0.00795903\pi\)
\(14\) −29.5174 + 51.1257i −0.0107571 + 0.0186318i
\(15\) −733.625 + 1270.68i −0.217370 + 0.376497i
\(16\) −4247.43 −1.03697
\(17\) −3899.16 + 6753.54i −0.793641 + 1.37463i 0.130058 + 0.991506i \(0.458484\pi\)
−0.923699 + 0.383120i \(0.874850\pi\)
\(18\) 11125.6 + 6423.37i 1.90768 + 1.10140i
\(19\) 5660.64 3268.17i 0.825287 0.476480i −0.0269492 0.999637i \(-0.508579\pi\)
0.852236 + 0.523157i \(0.175246\pi\)
\(20\) 65.1293 37.6024i 0.00814116 0.00470030i
\(21\) 347.653 0.0375394
\(22\) 11737.5i 1.10232i
\(23\) 1004.12 + 1739.19i 0.0825282 + 0.142943i 0.904335 0.426823i \(-0.140367\pi\)
−0.821807 + 0.569766i \(0.807034\pi\)
\(24\) 12042.7 + 20858.6i 0.871146 + 1.50887i
\(25\) −7345.48 + 12722.7i −0.470110 + 0.814255i
\(26\) 16178.0 + 9340.35i 0.920458 + 0.531426i
\(27\) 40655.4i 2.06551i
\(28\) −15.4318 8.90958i −0.000702981 0.000405866i
\(29\) −33780.2 19503.0i −1.38506 0.799664i −0.392305 0.919835i \(-0.628322\pi\)
−0.992753 + 0.120171i \(0.961656\pi\)
\(30\) −10359.0 5980.77i −0.383666 0.221510i
\(31\) −11411.5 19765.3i −0.383052 0.663465i 0.608445 0.793596i \(-0.291794\pi\)
−0.991497 + 0.130131i \(0.958460\pi\)
\(32\) 2518.39i 0.0768552i
\(33\) 59860.7 34560.6i 1.66571 0.961700i
\(34\) −55057.2 31787.3i −1.40080 0.808754i
\(35\) −221.315 −0.00516186
\(36\) −1938.84 + 3358.17i −0.0415561 + 0.0719772i
\(37\) −30246.5 + 17462.8i −0.597132 + 0.344754i −0.767912 0.640555i \(-0.778704\pi\)
0.170781 + 0.985309i \(0.445371\pi\)
\(38\) 26643.3 + 46147.5i 0.485553 + 0.841003i
\(39\) 110010.i 1.85454i
\(40\) −7666.36 13278.5i −0.119787 0.207477i
\(41\) −33522.3 −0.486387 −0.243193 0.969978i \(-0.578195\pi\)
−0.243193 + 0.969978i \(0.578195\pi\)
\(42\) 2834.19i 0.0382543i
\(43\) 39701.1 + 68885.3i 0.499341 + 0.866406i
\(44\) −3542.85 −0.0415905
\(45\) 48160.9i 0.528515i
\(46\) −14178.5 + 8185.93i −0.145665 + 0.0840997i
\(47\) 10418.8 0.100352 0.0501759 0.998740i \(-0.484022\pi\)
0.0501759 + 0.998740i \(0.484022\pi\)
\(48\) −176594. + 101957.i −1.59681 + 0.921918i
\(49\) −58798.3 101842.i −0.499777 0.865639i
\(50\) −103720. 59882.9i −0.829761 0.479063i
\(51\) 374387.i 2.82234i
\(52\) −2819.30 + 4883.18i −0.0200508 + 0.0347290i
\(53\) −15557.7 26946.7i −0.104500 0.181000i 0.809034 0.587762i \(-0.199991\pi\)
−0.913534 + 0.406762i \(0.866658\pi\)
\(54\) 331437. 2.10484
\(55\) −38107.1 + 22001.2i −0.229044 + 0.132238i
\(56\) −1816.48 + 3146.24i −0.0103435 + 0.0179154i
\(57\) 156901. 271760.i 0.847228 1.46744i
\(58\) 158995. 275388.i 0.814892 1.41143i
\(59\) −140030. −0.681810 −0.340905 0.940098i \(-0.610734\pi\)
−0.340905 + 0.940098i \(0.610734\pi\)
\(60\) 1805.24 3126.77i 0.00835760 0.0144758i
\(61\) −117712. 67961.0i −0.518598 0.299413i 0.217763 0.976002i \(-0.430124\pi\)
−0.736361 + 0.676589i \(0.763457\pi\)
\(62\) 161133. 93030.5i 0.676100 0.390346i
\(63\) 9882.51 5705.67i 0.0395226 0.0228184i
\(64\) −251305. −0.958652
\(65\) 70031.8i 0.255009i
\(66\) 281750. + 488005.i 0.980013 + 1.69743i
\(67\) −115099. 199357.i −0.382689 0.662838i 0.608756 0.793357i \(-0.291669\pi\)
−0.991446 + 0.130520i \(0.958335\pi\)
\(68\) 9594.71 16618.5i 0.0305144 0.0528525i
\(69\) 83496.1 + 48206.5i 0.254167 + 0.146743i
\(70\) 1804.23i 0.00526016i
\(71\) 391431. + 225993.i 1.09365 + 0.631422i 0.934547 0.355840i \(-0.115805\pi\)
0.159107 + 0.987261i \(0.449138\pi\)
\(72\) 684662. + 395290.i 1.83434 + 1.05905i
\(73\) −374956. 216481.i −0.963854 0.556481i −0.0664970 0.997787i \(-0.521182\pi\)
−0.897357 + 0.441305i \(0.854516\pi\)
\(74\) −142363. 246580.i −0.351319 0.608503i
\(75\) 705293.i 1.67181i
\(76\) −13929.2 + 8042.04i −0.0317312 + 0.0183200i
\(77\) 9029.17 + 5212.99i 0.0197777 + 0.0114187i
\(78\) 896836. 1.88986
\(79\) 78420.4 135828.i 0.159055 0.275491i −0.775473 0.631381i \(-0.782489\pi\)
0.934528 + 0.355889i \(0.115822\pi\)
\(80\) 112419. 64905.4i 0.219569 0.126768i
\(81\) −401515. 695444.i −0.755521 1.30860i
\(82\) 273285.i 0.495649i
\(83\) 372851. + 645797.i 0.652081 + 1.12944i 0.982617 + 0.185644i \(0.0594370\pi\)
−0.330536 + 0.943793i \(0.607230\pi\)
\(84\) −855.474 −0.00144334
\(85\) 238334.i 0.388086i
\(86\) −561577. + 323657.i −0.882905 + 0.508850i
\(87\) −1.87263e6 −2.84376
\(88\) 722315.i 1.05993i
\(89\) 97786.0 56456.8i 0.138710 0.0800841i −0.429039 0.903286i \(-0.641148\pi\)
0.567749 + 0.823202i \(0.307814\pi\)
\(90\) −392625. −0.538580
\(91\) 14370.3 8296.72i 0.0190697 0.0110099i
\(92\) −2470.85 4279.64i −0.00317310 0.00549597i
\(93\) −948906. 547851.i −1.17971 0.681104i
\(94\) 84937.8i 0.102263i
\(95\) −99882.5 + 173002.i −0.116498 + 0.201781i
\(96\) −60452.4 104707.i −0.0683281 0.118348i
\(97\) −1.45590e6 −1.59521 −0.797604 0.603182i \(-0.793899\pi\)
−0.797604 + 0.603182i \(0.793899\pi\)
\(98\) 830248. 479344.i 0.882124 0.509294i
\(99\) 1.13442e6 1.96486e6i 1.16914 2.02501i
\(100\) 18075.1 31307.0i 0.0180751 0.0313070i
\(101\) 935006. 1.61948e6i 0.907507 1.57185i 0.0899919 0.995942i \(-0.471316\pi\)
0.817516 0.575906i \(-0.195351\pi\)
\(102\) −3.05213e6 −2.87609
\(103\) 268269. 464656.i 0.245504 0.425226i −0.716769 0.697311i \(-0.754380\pi\)
0.962273 + 0.272085i \(0.0877131\pi\)
\(104\) 995580. + 574799.i 0.885067 + 0.510994i
\(105\) −9201.55 + 5312.51i −0.00794864 + 0.00458915i
\(106\) 219679. 126832.i 0.184447 0.106490i
\(107\) 1.28220e6 1.04665 0.523327 0.852132i \(-0.324690\pi\)
0.523327 + 0.852132i \(0.324690\pi\)
\(108\) 100041.i 0.0794161i
\(109\) 970522. + 1.68099e6i 0.749421 + 1.29804i 0.948101 + 0.317971i \(0.103001\pi\)
−0.198680 + 0.980064i \(0.563665\pi\)
\(110\) −179361. 310663.i −0.134757 0.233405i
\(111\) −838367. + 1.45210e6i −0.613007 + 1.06176i
\(112\) −26636.8 15378.8i −0.0189596 0.0109463i
\(113\) 2.83684e6i 1.96607i 0.183414 + 0.983036i \(0.441285\pi\)
−0.183414 + 0.983036i \(0.558715\pi\)
\(114\) 2.21548e6 + 1.27911e6i 1.49539 + 0.863362i
\(115\) −53153.4 30688.1i −0.0349492 0.0201779i
\(116\) 83123.4 + 47991.3i 0.0532536 + 0.0307460i
\(117\) −1.80547e6 3.12717e6i −1.12728 1.95251i
\(118\) 1.14157e6i 0.694794i
\(119\) −48905.4 + 28235.6i −0.0290213 + 0.0167554i
\(120\) −637485. 368052.i −0.368915 0.212993i
\(121\) 301360. 0.170110
\(122\) 554041. 959628.i 0.305114 0.528474i
\(123\) −1.39375e6 + 804680.i −0.748977 + 0.432422i
\(124\) 28080.4 + 48636.8i 0.0147278 + 0.0255094i
\(125\) 926522.i 0.474379i
\(126\) 46514.6 + 80565.6i 0.0232529 + 0.0402752i
\(127\) 1.83203e6 0.894379 0.447189 0.894439i \(-0.352425\pi\)
0.447189 + 0.894439i \(0.352425\pi\)
\(128\) 2.20990e6i 1.05376i
\(129\) 3.30419e6 + 1.91103e6i 1.53920 + 0.890221i
\(130\) −570923. −0.259865
\(131\) 2.22791e6i 0.991022i 0.868602 + 0.495511i \(0.165019\pi\)
−0.868602 + 0.495511i \(0.834981\pi\)
\(132\) −147300. + 85043.8i −0.0640444 + 0.0369761i
\(133\) 47332.7 0.0201190
\(134\) 1.62523e6 938325.i 0.675460 0.389977i
\(135\) 621259. + 1.07605e6i 0.252506 + 0.437353i
\(136\) −3.38818e6 1.95617e6i −1.34694 0.777659i
\(137\) 138627.i 0.0539120i 0.999637 + 0.0269560i \(0.00858141\pi\)
−0.999637 + 0.0269560i \(0.991419\pi\)
\(138\) −392996. + 680689.i −0.149538 + 0.259007i
\(139\) 2.11377e6 + 3.66116e6i 0.787070 + 1.36324i 0.927755 + 0.373190i \(0.121736\pi\)
−0.140685 + 0.990054i \(0.544930\pi\)
\(140\) 544.592 0.000198467
\(141\) 433180. 250097.i 0.154530 0.0892177i
\(142\) −1.84237e6 + 3.19108e6i −0.643446 + 1.11448i
\(143\) 1.64958e6 2.85715e6i 0.564110 0.977068i
\(144\) −3.34662e6 + 5.79652e6i −1.12078 + 1.94124i
\(145\) 1.19211e6 0.391032
\(146\) 1.76483e6 3.05677e6i 0.567079 0.982209i
\(147\) −4.88928e6 2.82283e6i −1.53919 0.888654i
\(148\) 74428.0 42971.0i 0.0229589 0.0132553i
\(149\) 4.56847e6 2.63761e6i 1.38106 0.797354i 0.388773 0.921334i \(-0.372899\pi\)
0.992285 + 0.123980i \(0.0395658\pi\)
\(150\) −5.74979e6 −1.70364
\(151\) 2.96589e6i 0.861439i −0.902486 0.430720i \(-0.858260\pi\)
0.902486 0.430720i \(-0.141740\pi\)
\(152\) 1.63961e6 + 2.83989e6i 0.466884 + 0.808668i
\(153\) 6.14443e6 + 1.06425e7i 1.71556 + 2.97144i
\(154\) −42498.1 + 73608.9i −0.0116361 + 0.0201543i
\(155\) 604071. + 348760.i 0.162216 + 0.0936552i
\(156\) 270702.i 0.0713047i
\(157\) −3.55451e6 2.05220e6i −0.918505 0.530299i −0.0353470 0.999375i \(-0.511254\pi\)
−0.883158 + 0.469076i \(0.844587\pi\)
\(158\) 1.10732e6 + 639310.i 0.280738 + 0.162084i
\(159\) −1.29368e6 746905.i −0.321836 0.185812i
\(160\) 38483.8 + 66655.9i 0.00939546 + 0.0162734i
\(161\) 14542.6i 0.00348469i
\(162\) 5.66950e6 3.27329e6i 1.33352 0.769909i
\(163\) 4.21898e6 + 2.43583e6i 0.974191 + 0.562450i 0.900511 0.434832i \(-0.143192\pi\)
0.0736800 + 0.997282i \(0.476526\pi\)
\(164\) 82488.7 0.0187009
\(165\) −1.05625e6 + 1.82947e6i −0.235133 + 0.407263i
\(166\) −5.26476e6 + 3.03961e6i −1.15094 + 0.664498i
\(167\) −2.63154e6 4.55796e6i −0.565016 0.978636i −0.997048 0.0767779i \(-0.975537\pi\)
0.432033 0.901858i \(-0.357797\pi\)
\(168\) 174414.i 0.0367835i
\(169\) −211971. 367144.i −0.0439152 0.0760634i
\(170\) 1.94298e6 0.395477
\(171\) 1.03002e7i 2.05995i
\(172\) −97693.1 169507.i −0.0191990 0.0333121i
\(173\) 4.07003e6 0.786067 0.393033 0.919524i \(-0.371426\pi\)
0.393033 + 0.919524i \(0.371426\pi\)
\(174\) 1.52663e7i 2.89792i
\(175\) −92131.1 + 53191.9i −0.0171907 + 0.00992503i
\(176\) −6.11530e6 −1.12171
\(177\) −5.82197e6 + 3.36132e6i −1.04991 + 0.606163i
\(178\) 460255. + 797185.i 0.0816091 + 0.141351i
\(179\) −3.22579e6 1.86241e6i −0.562441 0.324726i 0.191683 0.981457i \(-0.438605\pi\)
−0.754125 + 0.656731i \(0.771939\pi\)
\(180\) 118510.i 0.0203207i
\(181\) 2.27580e6 3.94180e6i 0.383794 0.664751i −0.607807 0.794085i \(-0.707951\pi\)
0.991601 + 0.129334i \(0.0412839\pi\)
\(182\) 67637.7 + 117152.i 0.0112195 + 0.0194328i
\(183\) −6.52544e6 −1.06477
\(184\) −872532. + 503756.i −0.140064 + 0.0808662i
\(185\) 533702. 924399.i 0.0842915 0.145997i
\(186\) 4.46627e6 7.73581e6i 0.694075 1.20217i
\(187\) −5.61387e6 + 9.72350e6i −0.858494 + 1.48696i
\(188\) −25637.7 −0.00385839
\(189\) 147202. 254962.i 0.0218036 0.0377650i
\(190\) −1.41037e6 814277.i −0.205623 0.118717i
\(191\) −1.86630e6 + 1.07751e6i −0.267844 + 0.154640i −0.627907 0.778288i \(-0.716088\pi\)
0.360063 + 0.932928i \(0.382755\pi\)
\(192\) −1.04484e7 + 6.03241e6i −1.47621 + 0.852289i
\(193\) −1.81325e6 −0.252224 −0.126112 0.992016i \(-0.540250\pi\)
−0.126112 + 0.992016i \(0.540250\pi\)
\(194\) 1.18690e7i 1.62559i
\(195\) 1.68107e6 + 2.91169e6i 0.226715 + 0.392683i
\(196\) 144686. + 250603.i 0.0192158 + 0.0332827i
\(197\) −3.96974e6 + 6.87579e6i −0.519234 + 0.899340i 0.480516 + 0.876986i \(0.340449\pi\)
−0.999750 + 0.0223541i \(0.992884\pi\)
\(198\) 1.60183e7 + 9.24814e6i 2.06357 + 1.19140i
\(199\) 6.67161e6i 0.846587i 0.905993 + 0.423293i \(0.139126\pi\)
−0.905993 + 0.423293i \(0.860874\pi\)
\(200\) −6.38286e6 3.68515e6i −0.797858 0.460643i
\(201\) −9.57087e6 5.52574e6i −1.17859 0.680460i
\(202\) 1.32025e7 + 7.62249e6i 1.60178 + 0.924789i
\(203\) −141230. 244618.i −0.0168826 0.0292415i
\(204\) 921259.i 0.108515i
\(205\) 887255. 512257.i 0.102988 0.0594602i
\(206\) 3.78804e6 + 2.18702e6i 0.433324 + 0.250180i
\(207\) 3.16465e6 0.356792
\(208\) −4.86639e6 + 8.42884e6i −0.540775 + 0.936651i
\(209\) 8.14999e6 4.70540e6i 0.892726 0.515416i
\(210\) −43309.4 75014.2i −0.00467654 0.00810001i
\(211\) 1.45878e6i 0.155290i 0.996981 + 0.0776450i \(0.0247401\pi\)
−0.996981 + 0.0776450i \(0.975260\pi\)
\(212\) 38283.1 + 66308.2i 0.00401790 + 0.00695921i
\(213\) 2.16992e7 2.24546
\(214\) 1.04529e7i 1.06659i
\(215\) −2.10344e6 1.21655e6i −0.211648 0.122410i
\(216\) 2.03964e7 2.02391
\(217\) 165272.i 0.0161741i
\(218\) −1.37040e7 + 7.91203e6i −1.32275 + 0.763692i
\(219\) −2.07859e7 −1.97896
\(220\) 93770.8 54138.6i 0.00880643 0.00508439i
\(221\) 8.93473e6 + 1.54754e7i 0.827760 + 1.43372i
\(222\) −1.18380e7 6.83466e6i −1.08198 0.624681i
\(223\) 1.90784e7i 1.72040i −0.509960 0.860198i \(-0.670340\pi\)
0.509960 0.860198i \(-0.329660\pi\)
\(224\) 9118.41 15793.6i 0.000811288 0.00140519i
\(225\) 1.15753e7 + 2.00489e7i 1.01621 + 1.76013i
\(226\) −2.31269e7 −2.00351
\(227\) 1.78714e7 1.03181e7i 1.52785 0.882106i 0.528400 0.848996i \(-0.322792\pi\)
0.999452 0.0331099i \(-0.0105411\pi\)
\(228\) −386088. + 668724.i −0.0325748 + 0.0564212i
\(229\) −1.00520e7 + 1.74106e7i −0.837042 + 1.44980i 0.0553154 + 0.998469i \(0.482384\pi\)
−0.892357 + 0.451330i \(0.850950\pi\)
\(230\) 250180. 433324.i 0.0205622 0.0356147i
\(231\) 500538. 0.0406070
\(232\) 9.78445e6 1.69472e7i 0.783560 1.35717i
\(233\) 1.01924e7 + 5.88457e6i 0.805764 + 0.465208i 0.845483 0.534003i \(-0.179313\pi\)
−0.0397189 + 0.999211i \(0.512646\pi\)
\(234\) 2.54938e7 1.47188e7i 1.98970 1.14875i
\(235\) −275761. + 159211.i −0.0212486 + 0.0122679i
\(236\) 344573. 0.0262147
\(237\) 7.52972e6i 0.565632i
\(238\) −230186. 398694.i −0.0170745 0.0295739i
\(239\) −1.23232e7 2.13444e7i −0.902671 1.56347i −0.824013 0.566571i \(-0.808270\pi\)
−0.0786587 0.996902i \(-0.525064\pi\)
\(240\) 3.11602e6 5.39711e6i 0.225407 0.390416i
\(241\) −8.92777e6 5.15445e6i −0.637811 0.368240i 0.145960 0.989291i \(-0.453373\pi\)
−0.783771 + 0.621050i \(0.786706\pi\)
\(242\) 2.45679e6i 0.173349i
\(243\) −7.72028e6 4.45731e6i −0.538040 0.310637i
\(244\) 289655. + 167233.i 0.0199394 + 0.0115120i
\(245\) 3.11250e6 + 1.79700e6i 0.211647 + 0.122194i
\(246\) −6.56003e6 1.13623e7i −0.440657 0.763240i
\(247\) 1.49777e7i 0.993928i
\(248\) 9.91604e6 5.72503e6i 0.650105 0.375338i
\(249\) 3.10039e7 + 1.79001e7i 2.00825 + 1.15946i
\(250\) 7.55332e6 0.483413
\(251\) 6.92571e6 1.19957e7i 0.437969 0.758585i −0.559564 0.828787i \(-0.689031\pi\)
0.997533 + 0.0702027i \(0.0223646\pi\)
\(252\) −24318.0 + 14040.0i −0.00151959 + 0.000877336i
\(253\) 1.44570e6 + 2.50402e6i 0.0892720 + 0.154624i
\(254\) 1.49353e7i 0.911411i
\(255\) −5.72104e6 9.90913e6i −0.345028 0.597606i
\(256\) 1.93236e6 0.115178
\(257\) 5.45908e6i 0.321603i 0.986987 + 0.160801i \(0.0514079\pi\)
−0.986987 + 0.160801i \(0.948592\pi\)
\(258\) −1.55794e7 + 2.69369e7i −0.907174 + 1.56851i
\(259\) −252913. −0.0145570
\(260\) 172328.i 0.00980474i
\(261\) −5.32320e7 + 3.07335e7i −2.99400 + 1.72858i
\(262\) −1.81627e7 −1.00989
\(263\) −3.02521e7 + 1.74661e7i −1.66299 + 0.960125i −0.691708 + 0.722177i \(0.743141\pi\)
−0.971278 + 0.237948i \(0.923525\pi\)
\(264\) 1.73387e7 + 3.00315e7i 0.942333 + 1.63217i
\(265\) 823551. + 475477.i 0.0442540 + 0.0255501i
\(266\) 385872.i 0.0205021i
\(267\) 2.71042e6 4.69458e6i 0.142397 0.246640i
\(268\) 283225. + 490561.i 0.0147139 + 0.0254852i
\(269\) 1.47720e7 0.758896 0.379448 0.925213i \(-0.376114\pi\)
0.379448 + 0.925213i \(0.376114\pi\)
\(270\) −8.77235e6 + 5.06472e6i −0.445682 + 0.257314i
\(271\) 1.14718e7 1.98697e7i 0.576398 0.998350i −0.419490 0.907760i \(-0.637791\pi\)
0.995888 0.0905905i \(-0.0288754\pi\)
\(272\) 1.65614e7 2.86852e7i 0.822982 1.42545i
\(273\) 398315. 689901.i 0.0195767 0.0339078i
\(274\) −1.13013e6 −0.0549387
\(275\) −1.05758e7 + 1.83177e7i −0.508526 + 0.880793i
\(276\) −205460. 118622.i −0.00977237 0.00564208i
\(277\) 2.89271e7 1.67010e7i 1.36102 0.785786i 0.371261 0.928528i \(-0.378925\pi\)
0.989760 + 0.142743i \(0.0455921\pi\)
\(278\) −2.98470e7 + 1.72322e7i −1.38921 + 0.802058i
\(279\) −3.59653e7 −1.65604
\(280\) 111031.i 0.00505791i
\(281\) −5.23585e6 9.06876e6i −0.235976 0.408723i 0.723580 0.690241i \(-0.242495\pi\)
−0.959556 + 0.281518i \(0.909162\pi\)
\(282\) 2.03888e6 + 3.53144e6i 0.0909166 + 0.157472i
\(283\) 2.10170e7 3.64024e7i 0.927279 1.60609i 0.139425 0.990233i \(-0.455475\pi\)
0.787854 0.615862i \(-0.211192\pi\)
\(284\) −963200. 556104.i −0.0420496 0.0242773i
\(285\) 9.59046e6i 0.414290i
\(286\) 2.32925e7 + 1.34479e7i 0.995674 + 0.574853i
\(287\) −210228. 121375.i −0.00889291 0.00513432i
\(288\) −3.43688e6 1.98428e6i −0.143876 0.0830666i
\(289\) −1.83381e7 3.17625e7i −0.759731 1.31589i
\(290\) 9.71848e6i 0.398478i
\(291\) −6.05317e7 + 3.49480e7i −2.45643 + 1.41822i
\(292\) 922659. + 532697.i 0.0370589 + 0.0213960i
\(293\) 5.82606e6 0.231618 0.115809 0.993272i \(-0.463054\pi\)
0.115809 + 0.993272i \(0.463054\pi\)
\(294\) 2.30127e7 3.98591e7i 0.905576 1.56850i
\(295\) 3.70625e6 2.13980e6i 0.144367 0.0833505i
\(296\) −8.76092e6 1.51744e7i −0.337811 0.585107i
\(297\) 5.85342e7i 2.23429i
\(298\) 2.15027e7 + 3.72437e7i 0.812538 + 1.40736i
\(299\) 4.60178e6 0.172152
\(300\) 1.73553e6i 0.0642787i
\(301\) −438.026 + 575746.i −1.60620e−5 + 0.0211121i
\(302\) 2.41790e7 0.877844
\(303\) 8.97768e7i 3.22728i
\(304\) −2.40432e7 + 1.38813e7i −0.855798 + 0.494095i
\(305\) 4.15407e6 0.146411
\(306\) −8.67610e7 + 5.00915e7i −3.02803 + 1.74823i
\(307\) 7.18005e6 + 1.24362e7i 0.248149 + 0.429806i 0.963012 0.269458i \(-0.0868445\pi\)
−0.714863 + 0.699264i \(0.753511\pi\)
\(308\) −22218.2 12827.7i −0.000760426 0.000439032i
\(309\) 2.57585e7i 0.873063i
\(310\) −2.84321e6 + 4.92459e6i −0.0954387 + 0.165305i
\(311\) 2.17155e7 + 3.76124e7i 0.721920 + 1.25040i 0.960229 + 0.279213i \(0.0900737\pi\)
−0.238309 + 0.971189i \(0.576593\pi\)
\(312\) 5.51906e7 1.81720
\(313\) −4.68305e6 + 2.70376e6i −0.152720 + 0.0881730i −0.574413 0.818566i \(-0.694769\pi\)
0.421693 + 0.906739i \(0.361436\pi\)
\(314\) 1.67302e7 2.89776e7i 0.540397 0.935996i
\(315\) −174378. + 302031.i −0.00557904 + 0.00966318i
\(316\) −192970. + 334234.i −0.00611546 + 0.0105923i
\(317\) −2.19229e7 −0.688209 −0.344105 0.938931i \(-0.611817\pi\)
−0.344105 + 0.938931i \(0.611817\pi\)
\(318\) 6.08903e6 1.05465e7i 0.189350 0.327965i
\(319\) −4.86355e7 2.80797e7i −1.49824 0.865009i
\(320\) 6.65144e6 3.84021e6i 0.202986 0.117194i
\(321\) 5.33096e7 3.07783e7i 1.61172 0.930528i
\(322\) −118556. −0.00355105
\(323\) 5.09725e7i 1.51261i
\(324\) 988014. + 1.71129e6i 0.0290488 + 0.0503140i
\(325\) 1.68318e7 + 2.91535e7i 0.490321 + 0.849261i
\(326\) −1.98577e7 + 3.43946e7i −0.573160 + 0.992743i
\(327\) 8.07023e7 + 4.65935e7i 2.30804 + 1.33254i
\(328\) 1.68178e7i 0.476592i
\(329\) 65339.4 + 37723.7i 0.00183479 + 0.00105932i
\(330\) −1.49145e7 8.61089e6i −0.415018 0.239611i
\(331\) 1.51743e7 + 8.76089e6i 0.418432 + 0.241582i 0.694406 0.719583i \(-0.255667\pi\)
−0.275974 + 0.961165i \(0.589000\pi\)
\(332\) −917481. 1.58912e6i −0.0250716 0.0434253i
\(333\) 5.50370e7i 1.49047i
\(334\) 3.71581e7 2.14532e7i 0.997272 0.575775i
\(335\) 6.09279e6 + 3.51767e6i 0.162062 + 0.0935666i
\(336\) −1.47663e6 −0.0389273
\(337\) 2.83853e7 4.91647e7i 0.741658 1.28459i −0.210083 0.977684i \(-0.567373\pi\)
0.951740 0.306905i \(-0.0992934\pi\)
\(338\) 2.99308e6 1.72806e6i 0.0775119 0.0447515i
\(339\) 6.80965e7 + 1.17947e8i 1.74794 + 3.02751i
\(340\) 586471.i 0.0149214i
\(341\) −1.64299e7 2.84574e7i −0.414353 0.717681i
\(342\) 8.39708e7 2.09918
\(343\) 1.70352e6i 0.0422148i
\(344\) −3.45590e7 + 1.99176e7i −0.848958 + 0.489285i
\(345\) −2.94659e6 −0.0717567
\(346\) 3.31803e7i 0.801036i
\(347\) −4.80656e7 + 2.77507e7i −1.15039 + 0.664179i −0.948983 0.315328i \(-0.897885\pi\)
−0.201409 + 0.979507i \(0.564552\pi\)
\(348\) 4.60800e6 0.109339
\(349\) −3.48049e7 + 2.00946e7i −0.818774 + 0.472720i −0.849994 0.526793i \(-0.823394\pi\)
0.0312193 + 0.999513i \(0.490061\pi\)
\(350\) −433639. 751085.i −0.0101140 0.0175180i
\(351\) −8.06788e7 4.65800e7i −1.86569 1.07715i
\(352\) 3.62589e6i 0.0831356i
\(353\) −6.92043e6 + 1.19865e7i −0.157329 + 0.272502i −0.933905 0.357522i \(-0.883622\pi\)
0.776576 + 0.630024i \(0.216955\pi\)
\(354\) −2.74026e7 4.74627e7i −0.617707 1.06990i
\(355\) −1.38137e7 −0.308762
\(356\) −240624. + 138924.i −0.00533320 + 0.00307913i
\(357\) −1.35555e6 + 2.34789e6i −0.0297928 + 0.0516027i
\(358\) 1.51830e7 2.62978e7i 0.330909 0.573152i
\(359\) −1.89626e7 + 3.28441e7i −0.409839 + 0.709863i −0.994871 0.101147i \(-0.967749\pi\)
0.585032 + 0.811010i \(0.301082\pi\)
\(360\) −2.41618e7 −0.517872
\(361\) −2.16102e6 + 3.74299e6i −0.0459342 + 0.0795605i
\(362\) 3.21349e7 + 1.85531e7i 0.677410 + 0.391103i
\(363\) 1.25296e7 7.23395e6i 0.261949 0.151236i
\(364\) −35361.3 + 20415.9i −0.000733203 + 0.000423315i
\(365\) 1.32322e7 0.272117
\(366\) 5.31976e7i 1.08505i
\(367\) 5.09218e6 + 8.81991e6i 0.103016 + 0.178429i 0.912926 0.408125i \(-0.133817\pi\)
−0.809910 + 0.586554i \(0.800484\pi\)
\(368\) −4.26493e6 7.38708e6i −0.0855792 0.148228i
\(369\) −2.64128e7 + 4.57482e7i −0.525696 + 0.910532i
\(370\) 7.53602e6 + 4.35092e6i 0.148777 + 0.0858967i
\(371\) 225321.i 0.00441245i
\(372\) 2.33499e6 + 1.34811e6i 0.0453582 + 0.0261876i
\(373\) 3.13825e7 + 1.81187e7i 0.604729 + 0.349141i 0.770900 0.636956i \(-0.219807\pi\)
−0.166170 + 0.986097i \(0.553140\pi\)
\(374\) −7.92693e7 4.57662e7i −1.51527 0.874842i
\(375\) −2.22405e7 3.85218e7i −0.421747 0.730487i
\(376\) 5.22701e6i 0.0983308i
\(377\) −7.74057e7 + 4.46902e7i −1.44460 + 0.834042i
\(378\) 2.07854e6 + 1.20004e6i 0.0384842 + 0.0222188i
\(379\) 3.32913e7 0.611523 0.305762 0.952108i \(-0.401089\pi\)
0.305762 + 0.952108i \(0.401089\pi\)
\(380\) 245782. 425708.i 0.00447920 0.00775819i
\(381\) 7.61699e7 4.39767e7i 1.37724 0.795147i
\(382\) −8.78424e6 1.52147e7i −0.157585 0.272945i
\(383\) 4.47425e7i 0.796387i −0.917302 0.398193i \(-0.869637\pi\)
0.917302 0.398193i \(-0.130363\pi\)
\(384\) −5.30472e7 9.18805e7i −0.936847 1.62267i
\(385\) −318641. −0.00558367
\(386\) 1.47823e7i 0.257027i
\(387\) 1.25290e8 + 95320.2i 2.16164 + 0.00164457i
\(388\) 3.58256e6 0.0613336
\(389\) 8.65818e6i 0.147088i −0.997292 0.0735441i \(-0.976569\pi\)
0.997292 0.0735441i \(-0.0234310\pi\)
\(390\) −2.37371e7 + 1.37046e7i −0.400161 + 0.231033i
\(391\) −1.56609e7 −0.261991
\(392\) 5.10929e7 2.94985e7i 0.848207 0.489713i
\(393\) 5.34795e7 + 9.26292e7i 0.881068 + 1.52605i
\(394\) −5.60538e7 3.23627e7i −0.916466 0.529122i
\(395\) 4.79339e6i 0.0777771i
\(396\) −2.79147e6 + 4.83497e6i −0.0449519 + 0.0778589i
\(397\) 1.42987e6 + 2.47662e6i 0.0228521 + 0.0395810i 0.877225 0.480079i \(-0.159392\pi\)
−0.854373 + 0.519660i \(0.826059\pi\)
\(398\) −5.43893e7 −0.862708
\(399\) 1.96794e6 1.13619e6i 0.0309808 0.0178868i
\(400\) 3.11994e7 5.40389e7i 0.487491 0.844359i
\(401\) −1.13615e7 + 1.96786e7i −0.176198 + 0.305184i −0.940575 0.339585i \(-0.889713\pi\)
0.764377 + 0.644769i \(0.223047\pi\)
\(402\) 4.50478e7 7.80250e7i 0.693418 1.20104i
\(403\) −5.22978e7 −0.799039
\(404\) −2.30078e6 + 3.98507e6i −0.0348924 + 0.0604355i
\(405\) 2.12543e7 + 1.22712e7i 0.319950 + 0.184723i
\(406\) 1.99421e6 1.15136e6i 0.0297984 0.0172041i
\(407\) −4.35478e7 + 2.51424e7i −0.645927 + 0.372926i
\(408\) −1.87826e8 −2.76551
\(409\) 2.29787e7i 0.335858i 0.985799 + 0.167929i \(0.0537080\pi\)
−0.985799 + 0.167929i \(0.946292\pi\)
\(410\) 4.17609e6 + 7.23320e6i 0.0605925 + 0.104949i
\(411\) 3.32765e6 + 5.76366e6i 0.0479305 + 0.0830180i
\(412\) −660134. + 1.14339e6i −0.00943932 + 0.0163494i
\(413\) −878165. 507009.i −0.0124660 0.00719723i
\(414\) 2.57993e7i 0.363586i
\(415\) −1.97370e7 1.13952e7i −0.276145 0.159432i
\(416\) −4.99764e6 2.88539e6i −0.0694200 0.0400797i
\(417\) 1.75767e8 + 1.01479e8i 2.42399 + 1.39949i
\(418\) 3.83600e7 + 6.64415e7i 0.525231 + 0.909727i
\(419\) 2.05464e7i 0.279314i −0.990200 0.139657i \(-0.955400\pi\)
0.990200 0.139657i \(-0.0446000\pi\)
\(420\) 22642.4 13072.6i 0.000305615 0.000176447i
\(421\) −5.70971e7 3.29650e7i −0.765187 0.441781i 0.0659678 0.997822i \(-0.478987\pi\)
−0.831155 + 0.556041i \(0.812320\pi\)
\(422\) −1.18925e7 −0.158247
\(423\) 8.20916e6 1.42187e7i 0.108462 0.187862i
\(424\) 1.35189e7 7.80513e6i 0.177355 0.102396i
\(425\) −5.72823e7 9.92159e7i −0.746198 1.29245i
\(426\) 1.76900e8i 2.28822i
\(427\) −492136. 852405.i −0.00632123 0.0109487i
\(428\) −3.15512e6 −0.0402425
\(429\) 1.58388e8i 2.00609i
\(430\) 9.91777e6 1.71479e7i 0.124741 0.215678i
\(431\) −4.62834e7 −0.578088 −0.289044 0.957316i \(-0.593337\pi\)
−0.289044 + 0.957316i \(0.593337\pi\)
\(432\) 1.72681e8i 2.14187i
\(433\) 1.12810e8 6.51309e7i 1.38958 0.802275i 0.396314 0.918115i \(-0.370289\pi\)
0.993268 + 0.115840i \(0.0369559\pi\)
\(434\) 1.34735e6 0.0164821
\(435\) 4.95640e7 2.86158e7i 0.602142 0.347647i
\(436\) −2.38818e6 4.13644e6i −0.0288142 0.0499077i
\(437\) 1.13679e7 + 6.56328e6i 0.136219 + 0.0786460i
\(438\) 1.69454e8i 2.01664i
\(439\) 1.04839e7 1.81586e7i 0.123917 0.214630i −0.797392 0.603461i \(-0.793788\pi\)
0.921309 + 0.388831i \(0.127121\pi\)
\(440\) −1.10378e7 1.91180e7i −0.129575 0.224431i
\(441\) −1.85313e8 −2.16067
\(442\) −1.26161e8 + 7.28390e7i −1.46103 + 0.843523i
\(443\) 1.81291e7 3.14005e7i 0.208528 0.361181i −0.742723 0.669599i \(-0.766466\pi\)
0.951251 + 0.308418i \(0.0997995\pi\)
\(444\) 2.06298e6 3.57319e6i 0.0235693 0.0408232i
\(445\) −1.72544e6 + 2.98856e6i −0.0195804 + 0.0339142i
\(446\) 1.55534e8 1.75316
\(447\) 1.26628e8 2.19326e8i 1.41777 2.45566i
\(448\) −1.57600e6 909906.i −0.0175276 0.0101196i
\(449\) −7.64079e7 + 4.41141e7i −0.844110 + 0.487347i −0.858659 0.512547i \(-0.828702\pi\)
0.0145490 + 0.999894i \(0.495369\pi\)
\(450\) −1.63446e8 + 9.43655e7i −1.79364 + 1.03556i
\(451\) −4.82641e7 −0.526132
\(452\) 6.98065e6i 0.0755928i
\(453\) −7.11943e7 1.23312e8i −0.765862 1.32651i
\(454\) 8.41164e7 + 1.45694e8i 0.898903 + 1.55695i
\(455\) −253566. + 439189.i −0.00269189 + 0.00466248i
\(456\) 1.36339e8 + 7.87155e7i 1.43789 + 0.830167i
\(457\) 1.20099e8i 1.25832i 0.777274 + 0.629162i \(0.216602\pi\)
−0.777274 + 0.629162i \(0.783398\pi\)
\(458\) −1.41937e8 8.19476e7i −1.47741 0.852982i
\(459\) 2.74568e8 + 1.58522e8i 2.83930 + 1.63927i
\(460\) 130795. + 75514.7i 0.00134375 + 0.000775814i
\(461\) 4.31499e6 + 7.47379e6i 0.0440430 + 0.0762848i 0.887207 0.461372i \(-0.152643\pi\)
−0.843164 + 0.537657i \(0.819309\pi\)
\(462\) 4.08056e6i 0.0413803i
\(463\) −2.90455e7 + 1.67694e7i −0.292642 + 0.168957i −0.639133 0.769097i \(-0.720706\pi\)
0.346491 + 0.938053i \(0.387373\pi\)
\(464\) 1.43479e8 + 8.28376e7i 1.43626 + 0.829228i
\(465\) 3.34871e7 0.333057
\(466\) −4.79730e7 + 8.30918e7i −0.474067 + 0.821108i
\(467\) −1.37508e8 + 7.93901e7i −1.35013 + 0.779500i −0.988268 0.152731i \(-0.951193\pi\)
−0.361865 + 0.932230i \(0.617860\pi\)
\(468\) 4.44276e6 + 7.69508e6i 0.0433426 + 0.0750716i
\(469\) 1.66697e6i 0.0161588i
\(470\) −1.29794e6 2.24810e6i −0.0125015 0.0216532i
\(471\) −1.97047e8 −1.88585
\(472\) 7.02513e7i 0.668080i
\(473\) 5.71602e7 + 9.91786e7i 0.540145 + 0.937205i
\(474\) 6.13848e7 0.576403
\(475\) 9.60252e7i 0.895992i
\(476\) 120342. 69479.7i 0.00111583 0.000644224i
\(477\) −4.90327e7 −0.451784
\(478\) 1.74007e8 1.00463e8i 1.59325 0.919861i
\(479\) −9.37100e7 1.62311e8i −0.852667 1.47686i −0.878792 0.477204i \(-0.841650\pi\)
0.0261252 0.999659i \(-0.491683\pi\)
\(480\) 3.20006e6 + 1.84756e6i 0.0289357 + 0.0167061i
\(481\) 8.00304e7i 0.719151i
\(482\) 4.20209e7 7.27823e7i 0.375253 0.649957i
\(483\) 349085. + 604633.i 0.00309806 + 0.00536600i
\(484\) −741561. −0.00654050
\(485\) 3.85343e7 2.22478e7i 0.337771 0.195012i
\(486\) 3.63375e7 6.29384e7i 0.316553 0.548286i
\(487\) −3.59551e7 + 6.22761e7i −0.311296 + 0.539181i −0.978643 0.205566i \(-0.934096\pi\)
0.667347 + 0.744747i \(0.267430\pi\)
\(488\) 3.40953e7 5.90548e7i 0.293383 0.508154i
\(489\) 2.33882e8 2.00018
\(490\) −1.46498e7 + 2.53742e7i −0.124521 + 0.215677i
\(491\) 5.41704e7 + 3.12753e7i 0.457633 + 0.264215i 0.711048 0.703143i \(-0.248221\pi\)
−0.253415 + 0.967358i \(0.581554\pi\)
\(492\) 3.42961e6 1.98009e6i 0.0287972 0.0166260i
\(493\) 2.63429e8 1.52091e8i 2.19848 1.26929i
\(494\) 1.22104e8 1.01286
\(495\) 6.93404e7i 0.571703i
\(496\) 4.84696e7 + 8.39517e7i 0.397213 + 0.687994i
\(497\) 1.63652e6 + 2.83453e6i 0.0133306 + 0.0230894i
\(498\) −1.45928e8 + 2.52754e8i −1.18154 + 2.04649i
\(499\) 828308. + 478224.i 0.00666638 + 0.00384884i 0.503329 0.864095i \(-0.332108\pi\)
−0.496663 + 0.867943i \(0.665442\pi\)
\(500\) 2.27991e6i 0.0182392i
\(501\) −2.18822e8 1.26337e8i −1.74011 1.00465i
\(502\) 9.77930e7 + 5.64608e7i 0.773030 + 0.446309i
\(503\) 9.58802e7 + 5.53564e7i 0.753399 + 0.434975i 0.826921 0.562319i \(-0.190091\pi\)
−0.0735220 + 0.997294i \(0.523424\pi\)
\(504\) 2.86247e6 + 4.95795e6i 0.0223589 + 0.0387267i
\(505\) 5.71516e7i 0.443767i
\(506\) −2.04136e7 + 1.17858e7i −0.157568 + 0.0909720i
\(507\) −1.76261e7 1.01764e7i −0.135248 0.0780857i
\(508\) −4.50810e6 −0.0343877
\(509\) −8.23454e7 + 1.42626e8i −0.624433 + 1.08155i 0.364217 + 0.931314i \(0.381337\pi\)
−0.988650 + 0.150236i \(0.951997\pi\)
\(510\) 8.07827e7 4.66399e7i 0.608986 0.351598i
\(511\) −1.56764e6 2.71522e6i −0.0117485 0.0203490i
\(512\) 1.25680e8i 0.936391i
\(513\) −1.32869e8 2.30136e8i −0.984173 1.70464i
\(514\) −4.45043e7 −0.327727
\(515\) 1.63978e7i 0.120050i
\(516\) −8.13067e6 4.70249e6i −0.0591803 0.0342278i
\(517\) 1.50006e7 0.108552
\(518\) 2.06183e6i 0.0148342i
\(519\) 1.69219e8 9.76985e7i 1.21045 0.698853i
\(520\) −3.51342e7 −0.249873
\(521\) −1.06288e7 + 6.13652e6i −0.0751570 + 0.0433919i −0.537108 0.843514i \(-0.680483\pi\)
0.461951 + 0.886906i \(0.347150\pi\)
\(522\) −2.50550e8 4.33965e8i −1.76150 3.05101i
\(523\) −1.38606e8 8.00243e7i −0.968896 0.559392i −0.0699965 0.997547i \(-0.522299\pi\)
−0.898900 + 0.438155i \(0.855632\pi\)
\(524\) 5.48225e6i 0.0381035i
\(525\) −2.55368e6 + 4.42310e6i −0.0176477 + 0.0305667i
\(526\) −1.42389e8 2.46626e8i −0.978409 1.69465i
\(527\) 1.77981e8 1.21602
\(528\) −2.54254e8 + 1.46794e8i −1.72729 + 0.997254i
\(529\) 7.20014e7 1.24710e8i 0.486378 0.842432i
\(530\) −3.87625e6 + 6.71387e6i −0.0260366 + 0.0450968i
\(531\) −1.10332e8 + 1.91100e8i −0.736914 + 1.27637i
\(532\) −116472. −0.000773548
\(533\) −3.84073e7 + 6.65234e7i −0.253648 + 0.439332i
\(534\) 3.82718e7 + 2.20963e7i 0.251336 + 0.145109i
\(535\) −3.39367e7 + 1.95934e7i −0.221620 + 0.127952i
\(536\) 1.00015e8 5.77439e7i 0.649489 0.374983i
\(537\) −1.78824e8 −1.15479
\(538\) 1.20426e8i 0.773348i
\(539\) −8.46557e7 1.46628e8i −0.540617 0.936376i
\(540\) −1.52874e6 2.64786e6i −0.00970851 0.0168156i
\(541\) −8.77934e7 + 1.52063e8i −0.554460 + 0.960352i 0.443486 + 0.896281i \(0.353742\pi\)
−0.997945 + 0.0640709i \(0.979592\pi\)
\(542\) 1.61984e8 + 9.35218e7i 1.01736 + 0.587374i
\(543\) 2.18516e8i 1.36485i
\(544\) 1.70081e7 + 9.81961e6i 0.105647 + 0.0609954i
\(545\) −5.13748e7 2.96613e7i −0.317366 0.183232i
\(546\) 5.62431e6 + 3.24720e6i 0.0345535 + 0.0199495i
\(547\) −4.88812e7 8.46647e7i −0.298662 0.517298i 0.677168 0.735828i \(-0.263207\pi\)
−0.975830 + 0.218531i \(0.929874\pi\)
\(548\) 341121.i 0.00207285i
\(549\) −1.85494e8 + 1.07095e8i −1.12102 + 0.647222i
\(550\) −1.49333e8 8.62172e7i −0.897566 0.518210i
\(551\) −2.54957e8 −1.52409
\(552\) −2.41847e7 + 4.18891e7i −0.143788 + 0.249048i
\(553\) 983593. 567877.i 0.00581621 0.00335799i
\(554\) 1.36153e8 + 2.35823e8i 0.800750 + 1.38694i
\(555\) 5.12447e7i 0.299757i
\(556\) −5.20138e6 9.00906e6i −0.0302618 0.0524149i
\(557\) 9.67694e7 0.559980 0.279990 0.960003i \(-0.409669\pi\)
0.279990 + 0.960003i \(0.409669\pi\)
\(558\) 2.93201e8i 1.68758i
\(559\) 1.82186e8 + 138607.i 1.04299 + 0.000793505i
\(560\) 940019. 0.00535270
\(561\) 5.39029e8i 3.05298i
\(562\) 7.39317e7 4.26845e7i 0.416506 0.240470i
\(563\) 2.46126e8 1.37921 0.689607 0.724184i \(-0.257783\pi\)
0.689607 + 0.724184i \(0.257783\pi\)
\(564\) −1.06593e6 + 615417.i −0.00594145 + 0.00343030i
\(565\) −4.33500e7 7.50844e7i −0.240350 0.416298i
\(566\) 2.96765e8 + 1.71337e8i 1.63668 + 0.944937i
\(567\) 5.81510e6i 0.0319013i
\(568\) −1.13378e8 + 1.96377e8i −0.618706 + 1.07163i
\(569\) −8.31886e6 1.44087e7i −0.0451572 0.0782146i 0.842563 0.538597i \(-0.181046\pi\)
−0.887721 + 0.460383i \(0.847712\pi\)
\(570\) −7.81847e7 −0.422180
\(571\) 4.36399e7 2.51955e7i 0.234410 0.135336i −0.378195 0.925726i \(-0.623455\pi\)
0.612605 + 0.790390i \(0.290122\pi\)
\(572\) −4.05913e6 + 7.03062e6i −0.0216893 + 0.0375669i
\(573\) −5.17299e7 + 8.95988e7i −0.274965 + 0.476253i
\(574\) 989490. 1.71385e6i 0.00523210 0.00906226i
\(575\) −2.95030e7 −0.155189
\(576\) −1.98007e8 + 3.42959e8i −1.03613 + 1.79463i
\(577\) −7.75273e7 4.47604e7i −0.403578 0.233006i 0.284449 0.958691i \(-0.408189\pi\)
−0.688027 + 0.725686i \(0.741523\pi\)
\(578\) 2.58939e8 1.49498e8i 1.34095 0.774199i
\(579\) −7.53891e7 + 4.35259e7i −0.388394 + 0.224240i
\(580\) −2.93344e6 −0.0150346
\(581\) 5.39997e6i 0.0275336i
\(582\) −2.84908e8 4.93475e8i −1.44523 2.50321i
\(583\) −2.23994e7 3.87969e7i −0.113040 0.195791i
\(584\) 1.08606e8 1.88111e8i 0.545275 0.944444i
\(585\) 9.55732e7 + 5.51792e7i 0.477385 + 0.275618i
\(586\) 4.74960e7i 0.236029i
\(587\) −1.07719e8 6.21918e7i −0.532573 0.307481i 0.209490 0.977811i \(-0.432819\pi\)
−0.742064 + 0.670329i \(0.766153\pi\)
\(588\) 1.20311e7 + 6.94618e6i 0.0591799 + 0.0341675i
\(589\) −1.29193e8 7.45895e7i −0.632255 0.365033i
\(590\) 1.74444e7 + 3.02146e7i 0.0849377 + 0.147116i
\(591\) 3.81164e8i 1.84650i
\(592\) 1.28470e8 7.41721e7i 0.619208 0.357500i
\(593\) 6.07991e7 + 3.51024e7i 0.291563 + 0.168334i 0.638647 0.769500i \(-0.279495\pi\)
−0.347083 + 0.937834i \(0.612828\pi\)
\(594\) 4.77191e8 2.27684
\(595\) 862941. 1.49466e6i 0.00409666 0.00709563i
\(596\) −1.12417e7 + 6.49040e6i −0.0530998 + 0.0306572i
\(597\) 1.60148e8 + 2.77384e8i 0.752658 + 1.30364i
\(598\) 3.75153e7i 0.175431i
\(599\) −1.14249e8 1.97884e8i −0.531582 0.920728i −0.999320 0.0368604i \(-0.988264\pi\)
0.467738 0.883867i \(-0.345069\pi\)
\(600\) −3.53838e8 −1.63814
\(601\) 1.99284e8i 0.918013i −0.888433 0.459007i \(-0.848205\pi\)
0.888433 0.459007i \(-0.151795\pi\)
\(602\) −4.69368e6 3570.94i −0.0215141 1.63679e-5i
\(603\) −3.62753e8 −1.65447
\(604\) 7.29822e6i 0.0331212i
\(605\) −7.97629e6 + 4.60511e6i −0.0360193 + 0.0207957i
\(606\) 7.31891e8 3.28873
\(607\) −1.05543e8 + 6.09355e7i −0.471916 + 0.272461i −0.717042 0.697030i \(-0.754504\pi\)
0.245125 + 0.969491i \(0.421171\pi\)
\(608\) −8.23054e6 1.42557e7i −0.0366200 0.0634276i
\(609\) −1.17438e7 6.78027e6i −0.0519943 0.0300189i
\(610\) 3.38654e7i 0.149199i
\(611\) 1.19371e7 2.06757e7i 0.0523330 0.0906434i
\(612\) −1.51197e7 2.61881e7i −0.0659612 0.114248i
\(613\) 1.12643e8 0.489016 0.244508 0.969647i \(-0.421374\pi\)
0.244508 + 0.969647i \(0.421374\pi\)
\(614\) −1.01384e8 + 5.85342e7i −0.437991 + 0.252874i
\(615\) 2.45928e7 4.25959e7i 0.105726 0.183123i
\(616\) −2.61530e6 + 4.52984e6i −0.0111887 + 0.0193794i
\(617\) 2.22221e8 3.84898e8i 0.946083 1.63866i 0.192514 0.981294i \(-0.438336\pi\)
0.753569 0.657369i \(-0.228331\pi\)
\(618\) 2.09992e8 0.889689
\(619\) 6.31978e7 1.09462e8i 0.266459 0.461520i −0.701486 0.712683i \(-0.747480\pi\)
0.967945 + 0.251163i \(0.0808131\pi\)
\(620\) −1.48645e6 858200.i −0.00623697 0.00360092i
\(621\) 7.07074e7 4.08229e7i 0.295250 0.170463i
\(622\) −3.06629e8 + 1.77033e8i −1.27421 + 0.735668i
\(623\) 817659. 0.00338149
\(624\) 4.67258e8i 1.92311i
\(625\) −1.00615e8 1.74270e8i −0.412118 0.713810i
\(626\) −2.20420e7 3.81779e7i −0.0898521 0.155628i
\(627\) 2.25900e8 3.91270e8i 0.916461 1.58736i
\(628\) 8.74665e6 + 5.04988e6i 0.0353153 + 0.0203893i
\(629\) 2.72361e8i 1.09444i
\(630\) −2.46226e6 1.42159e6i −0.00984719 0.00568528i
\(631\) 1.35801e8 + 7.84050e7i 0.540525 + 0.312072i 0.745292 0.666738i \(-0.232310\pi\)
−0.204766 + 0.978811i \(0.565643\pi\)
\(632\) 6.81435e7 + 3.93427e7i 0.269944 + 0.155852i
\(633\) 3.50171e7 + 6.06515e7i 0.138061 + 0.239128i
\(634\) 1.78723e8i 0.701315i
\(635\) −4.84895e7 + 2.79954e7i −0.189377 + 0.109337i
\(636\) 3.18337e6 + 1.83792e6i 0.0123742 + 0.00714423i
\(637\) −2.69467e8 −1.04253
\(638\) 2.28916e8 3.96493e8i 0.881482 1.52677i
\(639\) 6.16830e8 3.56127e8i 2.36409 1.36491i
\(640\) 3.37697e7 + 5.84908e7i 0.128821 + 0.223125i
\(641\) 8.61043e7i 0.326927i 0.986549 + 0.163464i \(0.0522666\pi\)
−0.986549 + 0.163464i \(0.947733\pi\)
\(642\) 2.50915e8 + 4.34598e8i 0.948248 + 1.64241i
\(643\) 2.48943e8 0.936413 0.468207 0.883619i \(-0.344900\pi\)
0.468207 + 0.883619i \(0.344900\pi\)
\(644\) 35785.1i 0.000133982i
\(645\) −1.16657e8 88752.1i −0.434741 0.000330750i
\(646\) −4.15545e8 −1.54142
\(647\) 4.22748e8i 1.56088i 0.625233 + 0.780438i \(0.285004\pi\)
−0.625233 + 0.780438i \(0.714996\pi\)
\(648\) 3.48897e8 2.01436e8i 1.28225 0.740307i
\(649\) −2.01610e8 −0.737525
\(650\) −2.37670e8 + 1.37219e8i −0.865433 + 0.499658i
\(651\) −3.96724e6 6.87146e6i −0.0143796 0.0249061i
\(652\) −1.03817e7 5.99388e6i −0.0374564 0.0216254i
\(653\) 1.66746e8i 0.598848i 0.954120 + 0.299424i \(0.0967946\pi\)
−0.954120 + 0.299424i \(0.903205\pi\)
\(654\) −3.79846e8 + 6.57913e8i −1.35792 + 2.35199i
\(655\) −3.40449e7 5.89674e7i −0.121151 0.209840i
\(656\) 1.42383e8 0.504368
\(657\) −5.90868e8 + 3.41138e8i −2.08350 + 1.20291i
\(658\) −307537. + 532669.i −0.00107949 + 0.00186973i
\(659\) −1.38937e8 + 2.40646e8i −0.485468 + 0.840856i −0.999861 0.0166991i \(-0.994684\pi\)
0.514392 + 0.857555i \(0.328018\pi\)
\(660\) 2.59912e6 4.50181e6i 0.00904056 0.0156587i
\(661\) 3.23600e7 0.112048 0.0560240 0.998429i \(-0.482158\pi\)
0.0560240 + 0.998429i \(0.482158\pi\)
\(662\) −7.14218e7 + 1.23706e8i −0.246182 + 0.426400i
\(663\) 7.42954e8 + 4.28945e8i 2.54930 + 1.47184i
\(664\) −3.23990e8 + 1.87056e8i −1.10669 + 0.638949i
\(665\) −1.25278e6 + 723295.i −0.00426002 + 0.00245952i
\(666\) −4.48681e8 −1.51885
\(667\) 7.83334e7i 0.263979i
\(668\) 6.47547e6 + 1.12158e7i 0.0217241 + 0.0376272i
\(669\) −4.57966e8 7.93220e8i −1.52952 2.64920i
\(670\) −2.86773e7 + 4.96705e7i −0.0953484 + 0.165148i
\(671\) −1.69477e8 9.78478e7i −0.560976 0.323879i
\(672\) 875526.i 0.00288510i
\(673\) 3.43439e8 + 1.98284e8i 1.12669 + 0.650494i 0.943100 0.332509i \(-0.107895\pi\)
0.183589 + 0.983003i \(0.441229\pi\)
\(674\) 4.00808e8 + 2.31407e8i 1.30905 + 0.755781i
\(675\) 5.17248e8 + 2.98633e8i 1.68185 + 0.971017i
\(676\) 521599. + 903436.i 0.00168848 + 0.00292454i
\(677\) 1.45406e7i 0.0468617i 0.999725 + 0.0234308i \(0.00745895\pi\)
−0.999725 + 0.0234308i \(0.992541\pi\)
\(678\) −9.61541e8 + 5.55146e8i −3.08517 + 1.78122i
\(679\) −9.13038e6 5.27143e6i −0.0291662 0.0168391i
\(680\) 1.19569e8 0.380271
\(681\) 4.95357e8 8.57983e8i 1.56847 2.71667i
\(682\) 2.31994e8 1.33942e8i 0.731348 0.422244i
\(683\) 7.78012e7 + 1.34756e8i 0.244188 + 0.422946i 0.961903 0.273391i \(-0.0881453\pi\)
−0.717715 + 0.696337i \(0.754812\pi\)
\(684\) 2.53459e7i 0.0792025i
\(685\) −2.11837e6 3.66913e6i −0.00659068 0.0114154i
\(686\) 1.38877e7 0.0430187
\(687\) 9.65169e8i 2.97669i
\(688\) −1.68628e8 2.92586e8i −0.517802 0.898437i
\(689\) −7.12994e7 −0.217986
\(690\) 2.40216e7i 0.0731232i
\(691\) −6.75623e7 + 3.90071e7i −0.204772 + 0.118225i −0.598879 0.800839i \(-0.704387\pi\)
0.394107 + 0.919064i \(0.371054\pi\)
\(692\) −1.00152e7 −0.0302232
\(693\) 1.42285e7 8.21482e6i 0.0427522 0.0246830i
\(694\) −2.26233e8 3.91847e8i −0.676827 1.17230i
\(695\) −1.11893e8 6.46014e7i −0.333310 0.192437i
\(696\) 9.39477e8i 2.78650i
\(697\) 1.30709e8 2.26394e8i 0.386016 0.668600i
\(698\) −1.63818e8 2.83742e8i −0.481722 0.834366i
\(699\) 5.65021e8 1.65437
\(700\) 226708. 130890.i 0.000660958 0.000381604i
\(701\) −1.04896e8 + 1.81685e8i −0.304512 + 0.527430i −0.977153 0.212539i \(-0.931827\pi\)
0.672641 + 0.739969i \(0.265160\pi\)
\(702\) 3.79736e8 6.57722e8i 1.09767 1.90121i
\(703\) −1.14143e8 + 1.97702e8i −0.328537 + 0.569042i
\(704\) −3.61820e8 −1.03699
\(705\) −7.64351e6 + 1.32389e7i −0.0218135 + 0.0377821i
\(706\) −9.77183e7 5.64177e7i −0.277691 0.160325i
\(707\) 1.17274e7 6.77080e6i 0.0331851 0.0191594i
\(708\) 1.43262e7 8.27124e6i 0.0403675 0.0233062i
\(709\) 9.03275e7 0.253443 0.126722 0.991938i \(-0.459554\pi\)
0.126722 + 0.991938i \(0.459554\pi\)
\(710\) 1.12614e8i 0.314642i
\(711\) −1.23577e8 2.14042e8i −0.343820 0.595513i
\(712\) 2.83238e7 + 4.90582e7i 0.0784714 + 0.135916i
\(713\) 2.29170e7 3.96935e7i 0.0632251 0.109509i
\(714\) −1.91408e7 1.10509e7i −0.0525854 0.0303602i
\(715\) 1.00829e8i 0.275847i
\(716\) 7.93775e6 + 4.58286e6i 0.0216251 + 0.0124853i
\(717\) −1.02472e9 5.91621e8i −2.78001 1.60504i
\(718\) −2.67757e8 1.54589e8i −0.723381 0.417644i
\(719\) −1.65055e7 2.85884e7i −0.0444060 0.0769135i 0.842968 0.537964i \(-0.180806\pi\)
−0.887374 + 0.461050i \(0.847473\pi\)
\(720\) 2.04560e8i 0.548055i
\(721\) 3.36479e6 1.94266e6i 0.00897742 0.00518312i
\(722\) −3.05142e7 1.76174e7i −0.0810755 0.0468090i
\(723\) −4.94917e8 −1.30954
\(724\) −5.60009e6 + 9.69965e6i −0.0147564 + 0.0255588i
\(725\) 4.96263e8 2.86518e8i 1.30226 0.751861i
\(726\) 5.89737e7 + 1.02145e8i 0.154116 + 0.266937i
\(727\) 6.61674e8i 1.72203i 0.508579 + 0.861015i \(0.330171\pi\)
−0.508579 + 0.861015i \(0.669829\pi\)
\(728\) 4.16238e6 + 7.20945e6i 0.0107882 + 0.0186856i
\(729\) 1.57430e8 0.406354
\(730\) 1.07874e8i 0.277299i
\(731\) −6.20020e8 471710.i −1.58728 0.00120760i
\(732\) 1.60572e7 0.0409390
\(733\) 5.86187e8i 1.48841i 0.667949 + 0.744207i \(0.267173\pi\)
−0.667949 + 0.744207i \(0.732827\pi\)
\(734\) −7.19029e7 + 4.15132e7i −0.181827 + 0.104978i
\(735\) 1.72544e8 0.434547
\(736\) 4.37995e6 2.52877e6i 0.0109859 0.00634272i
\(737\) −1.65715e8 2.87027e8i −0.413961 0.717002i
\(738\) −3.72955e8 2.15326e8i −0.927871 0.535707i
\(739\) 4.05488e8i 1.00472i 0.864659 + 0.502360i \(0.167535\pi\)
−0.864659 + 0.502360i \(0.832465\pi\)
\(740\) −1.31329e6 + 2.27468e6i −0.00324090 + 0.00561340i
\(741\) −3.59530e8 6.22725e8i −0.883652 1.53053i
\(742\) 1.83689e6 0.00449647
\(743\) 2.02789e8 1.17080e8i 0.494398 0.285441i −0.231999 0.972716i \(-0.574527\pi\)
0.726397 + 0.687275i \(0.241193\pi\)
\(744\) 2.74851e8 4.76056e8i 0.667388 1.15595i
\(745\) −8.06110e7 + 1.39622e8i −0.194951 + 0.337665i
\(746\) −1.47710e8 + 2.55841e8i −0.355789 + 0.616245i
\(747\) 1.17510e9 2.81913
\(748\) 1.38141e7 2.39268e7i 0.0330079 0.0571714i
\(749\) 8.04102e6 + 4.64249e6i 0.0191366 + 0.0110485i
\(750\) 3.14043e8 1.81313e8i 0.744397 0.429778i
\(751\) 9.99745e7 5.77203e7i 0.236031 0.136273i −0.377320 0.926083i \(-0.623154\pi\)
0.613351 + 0.789810i \(0.289821\pi\)
\(752\) −4.42532e7 −0.104062
\(753\) 6.64989e8i 1.55751i
\(754\) −3.64330e8 6.31038e8i −0.849925 1.47211i
\(755\) 4.53221e7 + 7.85002e7i 0.105310 + 0.182402i
\(756\) −362223. + 627388.i −0.000838321 + 0.00145201i
\(757\) 3.77559e8 + 2.17984e8i 0.870355 + 0.502500i 0.867466 0.497496i \(-0.165747\pi\)
0.00288910 + 0.999996i \(0.499080\pi\)
\(758\) 2.71402e8i 0.623169i
\(759\) 1.20215e8 + 6.94060e7i 0.274936 + 0.158735i
\(760\) −8.67931e7 5.01100e7i −0.197717 0.114152i
\(761\) 6.56397e8 + 3.78971e8i 1.48940 + 0.859907i 0.999927 0.0121089i \(-0.00385447\pi\)
0.489477 + 0.872016i \(0.337188\pi\)
\(762\) 3.58513e8 + 6.20963e8i 0.810289 + 1.40346i
\(763\) 1.40560e7i 0.0316437i
\(764\) 4.59244e6 2.65145e6i 0.0102982 0.00594570i