Properties

Label 19.7.f.a.3.9
Level $19$
Weight $7$
Character 19.3
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 19.f (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.37102758878\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.9
Character \(\chi\) \(=\) 19.3
Dual form 19.7.f.a.13.9

$q$-expansion

\(f(q)\) \(=\) \(q+(8.86541 - 10.5654i) q^{2} +(10.1562 + 27.9038i) q^{3} +(-21.9184 - 124.305i) q^{4} +(30.9255 - 175.387i) q^{5} +(384.853 + 140.075i) q^{6} +(131.445 + 227.670i) q^{7} +(-743.213 - 429.094i) q^{8} +(-117.030 + 98.1996i) q^{9} +O(q^{10})\) \(q+(8.86541 - 10.5654i) q^{2} +(10.1562 + 27.9038i) q^{3} +(-21.9184 - 124.305i) q^{4} +(30.9255 - 175.387i) q^{5} +(384.853 + 140.075i) q^{6} +(131.445 + 227.670i) q^{7} +(-743.213 - 429.094i) q^{8} +(-117.030 + 98.1996i) q^{9} +(-1578.87 - 1881.62i) q^{10} +(-715.771 + 1239.75i) q^{11} +(3245.99 - 1874.07i) q^{12} +(-1247.94 + 3428.68i) q^{13} +(3570.74 + 629.617i) q^{14} +(5208.05 - 918.320i) q^{15} +(-3531.35 + 1285.31i) q^{16} +(-2322.87 - 1949.12i) q^{17} +2107.05i q^{18} +(5432.97 + 4186.73i) q^{19} -22479.4 q^{20} +(-5017.88 + 5980.08i) q^{21} +(6752.85 + 18553.3i) q^{22} +(-2925.86 - 16593.4i) q^{23} +(4425.18 - 25096.5i) q^{24} +(-15121.5 - 5503.78i) q^{25} +(25161.8 + 43581.6i) q^{26} +(14818.5 + 8555.45i) q^{27} +(25419.5 - 21329.5i) q^{28} +(-20087.9 - 23939.8i) q^{29} +(36469.1 - 63166.4i) q^{30} +(-18227.4 + 10523.6i) q^{31} +(1058.03 - 2906.92i) q^{32} +(-41863.3 - 7381.63i) q^{33} +(-41186.4 + 7262.28i) q^{34} +(43995.3 - 16013.0i) q^{35} +(14771.9 + 12395.1i) q^{36} +56068.7i q^{37} +(92400.0 - 20284.4i) q^{38} -108348. q^{39} +(-98241.8 + 117080. i) q^{40} +(-8613.60 - 23665.7i) q^{41} +(18696.3 + 106032. i) q^{42} +(3667.17 - 20797.5i) q^{43} +(169796. + 61800.9i) q^{44} +(13603.7 + 23562.4i) q^{45} +(-201254. - 116194. i) q^{46} +(51565.9 - 43269.0i) q^{47} +(-71729.9 - 85484.4i) q^{48} +(24268.8 - 42034.8i) q^{49} +(-192208. + 110971. i) q^{50} +(30796.5 - 84612.6i) q^{51} +(453556. + 79974.2i) q^{52} +(-58712.8 + 10352.7i) q^{53} +(221764. - 80715.3i) q^{54} +(195301. + 163877. i) q^{55} -225610. i q^{56} +(-61647.6 + 194122. i) q^{57} -431020. q^{58} +(-78556.7 + 93620.2i) q^{59} +(-228304. - 627261. i) q^{60} +(-44049.6 - 249818. i) q^{61} +(-50407.5 + 285875. i) q^{62} +(-37740.1 - 13736.3i) q^{63} +(-141588. - 245238. i) q^{64} +(562753. + 324905. i) q^{65} +(-449125. + 376861. i) q^{66} +(150628. + 179511. i) q^{67} +(-191373. + 331467. i) q^{68} +(433303. - 250168. i) q^{69} +(220853. - 606790. i) q^{70} +(-259649. - 45783.2i) q^{71} +(129115. - 22766.5i) q^{72} +(107742. - 39214.8i) q^{73} +(592388. + 497073. i) q^{74} -477846. i q^{75} +(401351. - 767114. i) q^{76} -376339. q^{77} +(-960546. + 1.14473e6i) q^{78} +(-44085.4 - 121124. i) q^{79} +(116217. + 659101. i) q^{80} +(-107570. + 610061. i) q^{81} +(-326400. - 118800. i) q^{82} +(-102953. - 178320. i) q^{83} +(853340. + 492676. i) q^{84} +(-413686. + 347124. i) q^{85} +(-187223. - 223124. i) q^{86} +(463996. - 803664. i) q^{87} +(1.06394e6 - 614267. i) q^{88} +(-307697. + 845391. i) q^{89} +(369548. + 65161.4i) q^{90} +(-944642. + 166566. i) q^{91} +(-1.99852e6 + 727400. i) q^{92} +(-478768. - 401734. i) q^{93} -928411. i q^{94} +(902315. - 823396. i) q^{95} +91859.8 q^{96} +(527793. - 628999. i) q^{97} +(-228961. - 629065. i) q^{98} +(-37976.7 - 215376. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} + O(q^{10}) \) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} - 1689q^{10} + 1677q^{11} - 9q^{12} - 10506q^{13} + 6105q^{14} + 24138q^{15} + 23760q^{16} - 3438q^{17} - 30918q^{19} - 76650q^{20} - 59055q^{21} + 20490q^{22} + 42498q^{23} + 31848q^{24} + 7914q^{25} + 109989q^{26} + 124821q^{27} - 109476q^{28} - 27726q^{29} - 153516q^{30} - 30789q^{31} - 114375q^{32} + 126039q^{33} + 359796q^{34} + 160161q^{35} + 184995q^{36} - 245244q^{38} - 390564q^{39} - 372678q^{40} - 24708q^{41} - 244893q^{42} - 30726q^{43} - 301419q^{44} + 293037q^{45} + 69246q^{46} - 71454q^{47} + 1024041q^{48} - 350346q^{49} - 104148q^{50} - 180672q^{51} + 921801q^{52} + 822558q^{53} + 308469q^{54} + 623517q^{55} - 17862q^{57} - 1150644q^{58} - 463812q^{59} - 908130q^{60} - 583698q^{61} - 429732q^{62} - 2576043q^{63} - 328293q^{64} - 1056789q^{65} - 1038756q^{66} + 1120464q^{67} + 717270q^{68} + 3771567q^{69} + 4845345q^{70} + 94494q^{71} + 2351634q^{72} + 950850q^{73} + 55149q^{74} - 218814q^{76} - 343086q^{77} + 1833471q^{78} - 4936494q^{79} - 9642039q^{80} - 769551q^{81} - 8627793q^{82} - 412131q^{83} - 3125205q^{84} - 896910q^{85} + 8878236q^{86} + 610737q^{87} + 13604751q^{88} + 6653022q^{89} + 3142734q^{90} + 3409821q^{91} - 3043740q^{92} - 816393q^{93} + 4839186q^{95} - 5667138q^{96} - 853656q^{97} - 17679315q^{98} - 13991937q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 8.86541 10.5654i 1.10818 1.32067i 0.165785 0.986162i \(-0.446984\pi\)
0.942392 0.334512i \(-0.108571\pi\)
\(3\) 10.1562 + 27.9038i 0.376154 + 1.03348i 0.972937 + 0.231072i \(0.0742233\pi\)
−0.596782 + 0.802403i \(0.703554\pi\)
\(4\) −21.9184 124.305i −0.342475 1.94227i
\(5\) 30.9255 175.387i 0.247404 1.40310i −0.567440 0.823415i \(-0.692066\pi\)
0.814843 0.579681i \(-0.196823\pi\)
\(6\) 384.853 + 140.075i 1.78173 + 0.648496i
\(7\) 131.445 + 227.670i 0.383222 + 0.663761i 0.991521 0.129948i \(-0.0414810\pi\)
−0.608299 + 0.793708i \(0.708148\pi\)
\(8\) −743.213 429.094i −1.45159 0.838075i
\(9\) −117.030 + 98.1996i −0.160535 + 0.134705i
\(10\) −1578.87 1881.62i −1.57887 1.88162i
\(11\) −715.771 + 1239.75i −0.537769 + 0.931444i 0.461254 + 0.887268i \(0.347400\pi\)
−0.999024 + 0.0441760i \(0.985934\pi\)
\(12\) 3245.99 1874.07i 1.87847 1.08453i
\(13\) −1247.94 + 3428.68i −0.568019 + 1.56062i 0.239574 + 0.970878i \(0.422992\pi\)
−0.807593 + 0.589740i \(0.799230\pi\)
\(14\) 3570.74 + 629.617i 1.30129 + 0.229452i
\(15\) 5208.05 918.320i 1.54313 0.272095i
\(16\) −3531.35 + 1285.31i −0.862145 + 0.313795i
\(17\) −2322.87 1949.12i −0.472801 0.396727i 0.375014 0.927019i \(-0.377638\pi\)
−0.847815 + 0.530292i \(0.822082\pi\)
\(18\) 2107.05i 0.361290i
\(19\) 5432.97 + 4186.73i 0.792094 + 0.610399i
\(20\) −22479.4 −2.80992
\(21\) −5017.88 + 5980.08i −0.541829 + 0.645727i
\(22\) 6752.85 + 18553.3i 0.634190 + 1.74242i
\(23\) −2925.86 16593.4i −0.240475 1.36380i −0.830771 0.556614i \(-0.812100\pi\)
0.590296 0.807187i \(-0.299011\pi\)
\(24\) 4425.18 25096.5i 0.320109 1.81543i
\(25\) −15121.5 5503.78i −0.967778 0.352242i
\(26\) 25161.8 + 43581.6i 1.43160 + 2.47961i
\(27\) 14818.5 + 8555.45i 0.752856 + 0.434662i
\(28\) 25419.5 21329.5i 1.15796 0.971644i
\(29\) −20087.9 23939.8i −0.823644 0.981581i 0.176352 0.984327i \(-0.443570\pi\)
−0.999996 + 0.00274631i \(0.999126\pi\)
\(30\) 36469.1 63166.4i 1.35071 2.33950i
\(31\) −18227.4 + 10523.6i −0.611842 + 0.353247i −0.773686 0.633569i \(-0.781589\pi\)
0.161844 + 0.986816i \(0.448256\pi\)
\(32\) 1058.03 2906.92i 0.0322886 0.0887122i
\(33\) −41863.3 7381.63i −1.16491 0.205405i
\(34\) −41186.4 + 7262.28i −1.04789 + 0.184772i
\(35\) 43995.3 16013.0i 1.02613 0.373481i
\(36\) 14771.9 + 12395.1i 0.316612 + 0.265669i
\(37\) 56068.7i 1.10692i 0.832876 + 0.553459i \(0.186693\pi\)
−0.832876 + 0.553459i \(0.813307\pi\)
\(38\) 92400.0 20284.4i 1.68392 0.369668i
\(39\) −108348. −1.82652
\(40\) −98241.8 + 117080.i −1.53503 + 1.82938i
\(41\) −8613.60 23665.7i −0.124978 0.343374i 0.861387 0.507950i \(-0.169597\pi\)
−0.986364 + 0.164576i \(0.947374\pi\)
\(42\) 18696.3 + 106032.i 0.252352 + 1.43116i
\(43\) 3667.17 20797.5i 0.0461238 0.261581i −0.953022 0.302901i \(-0.902045\pi\)
0.999146 + 0.0413194i \(0.0131561\pi\)
\(44\) 169796. + 61800.9i 1.99329 + 0.725498i
\(45\) 13603.7 + 23562.4i 0.149287 + 0.258572i
\(46\) −201254. 116194.i −2.06763 1.19374i
\(47\) 51565.9 43269.0i 0.496672 0.416757i −0.359738 0.933053i \(-0.617134\pi\)
0.856410 + 0.516296i \(0.172690\pi\)
\(48\) −71729.9 85484.4i −0.648599 0.772971i
\(49\) 24268.8 42034.8i 0.206281 0.357290i
\(50\) −192208. + 110971.i −1.53767 + 0.887772i
\(51\) 30796.5 84612.6i 0.232162 0.637859i
\(52\) 453556. + 79974.2i 3.22568 + 0.568774i
\(53\) −58712.8 + 10352.7i −0.394372 + 0.0695383i −0.367317 0.930096i \(-0.619724\pi\)
−0.0270541 + 0.999634i \(0.508613\pi\)
\(54\) 221764. 80715.3i 1.40834 0.512595i
\(55\) 195301. + 163877.i 1.17386 + 0.984985i
\(56\) 225610.i 1.28468i
\(57\) −61647.6 + 194122.i −0.332883 + 1.04821i
\(58\) −431020. −2.20909
\(59\) −78556.7 + 93620.2i −0.382496 + 0.455841i −0.922600 0.385757i \(-0.873940\pi\)
0.540104 + 0.841598i \(0.318385\pi\)
\(60\) −228304. 627261.i −1.05696 2.90399i
\(61\) −44049.6 249818.i −0.194067 1.10061i −0.913740 0.406298i \(-0.866819\pi\)
0.719673 0.694313i \(-0.244292\pi\)
\(62\) −50407.5 + 285875.i −0.211505 + 1.19950i
\(63\) −37740.1 13736.3i −0.150932 0.0549348i
\(64\) −141588. 245238.i −0.540116 0.935509i
\(65\) 562753. + 324905.i 2.04917 + 1.18309i
\(66\) −449125. + 376861.i −1.56220 + 1.31084i
\(67\) 150628. + 179511.i 0.500818 + 0.596852i 0.955934 0.293580i \(-0.0948468\pi\)
−0.455116 + 0.890432i \(0.650402\pi\)
\(68\) −191373. + 331467.i −0.608630 + 1.05418i
\(69\) 433303. 250168.i 1.31900 0.761525i
\(70\) 220853. 606790.i 0.643888 1.76907i
\(71\) −259649. 45783.2i −0.725457 0.127918i −0.201288 0.979532i \(-0.564513\pi\)
−0.524169 + 0.851614i \(0.675624\pi\)
\(72\) 129115. 22766.5i 0.345923 0.0609955i
\(73\) 107742. 39214.8i 0.276959 0.100805i −0.199806 0.979835i \(-0.564031\pi\)
0.476765 + 0.879031i \(0.341809\pi\)
\(74\) 592388. + 497073.i 1.46188 + 1.22666i
\(75\) 477846.i 1.13267i
\(76\) 401351. 767114.i 0.914289 1.74751i
\(77\) −376339. −0.824341
\(78\) −960546. + 1.14473e6i −2.02411 + 2.41224i
\(79\) −44085.4 121124.i −0.0894157 0.245668i 0.886922 0.461919i \(-0.152839\pi\)
−0.976338 + 0.216252i \(0.930617\pi\)
\(80\) 116217. + 659101.i 0.226987 + 1.28731i
\(81\) −107570. + 610061.i −0.202412 + 1.14794i
\(82\) −326400. 118800.i −0.591982 0.215464i
\(83\) −102953. 178320.i −0.180055 0.311865i 0.761844 0.647761i \(-0.224294\pi\)
−0.941899 + 0.335896i \(0.890961\pi\)
\(84\) 853340. + 492676.i 1.43974 + 0.831235i
\(85\) −413686. + 347124.i −0.673619 + 0.565233i
\(86\) −187223. 223124.i −0.294350 0.350793i
\(87\) 463996. 803664.i 0.704622 1.22044i
\(88\) 1.06394e6 614267.i 1.56124 0.901382i
\(89\) −307697. + 845391.i −0.436469 + 1.19919i 0.505305 + 0.862941i \(0.331380\pi\)
−0.941774 + 0.336248i \(0.890842\pi\)
\(90\) 369548. + 65161.4i 0.506925 + 0.0893846i
\(91\) −944642. + 166566.i −1.25355 + 0.221035i
\(92\) −1.99852e6 + 727400.i −2.56652 + 0.934136i
\(93\) −478768. 401734.i −0.595219 0.499448i
\(94\) 928411.i 1.11778i
\(95\) 902315. 823396.i 1.05242 0.960369i
\(96\) 91859.8 0.103827
\(97\) 527793. 628999.i 0.578294 0.689184i −0.395017 0.918674i \(-0.629261\pi\)
0.973311 + 0.229490i \(0.0737058\pi\)
\(98\) −228961. 629065.i −0.243267 0.668370i
\(99\) −37976.7 215376.i −0.0391391 0.221969i
\(100\) −352711. + 2.00032e6i −0.352711 + 2.00032i
\(101\) 810487. + 294993.i 0.786651 + 0.286318i 0.703943 0.710256i \(-0.251421\pi\)
0.0827079 + 0.996574i \(0.473643\pi\)
\(102\) −620942. 1.07550e6i −0.585127 1.01347i
\(103\) −617148. 356311.i −0.564778 0.326075i 0.190283 0.981729i \(-0.439059\pi\)
−0.755061 + 0.655654i \(0.772393\pi\)
\(104\) 2.39871e6 2.01276e6i 2.13244 1.78933i
\(105\) 893648. + 1.06501e6i 0.771967 + 0.919994i
\(106\) −411134. + 712105.i −0.345196 + 0.597897i
\(107\) 1.18820e6 686009.i 0.969927 0.559988i 0.0707129 0.997497i \(-0.477473\pi\)
0.899214 + 0.437509i \(0.144139\pi\)
\(108\) 738691. 2.02954e6i 0.586397 1.61111i
\(109\) −228852. 40352.8i −0.176716 0.0311598i 0.0845900 0.996416i \(-0.473042\pi\)
−0.261306 + 0.965256i \(0.584153\pi\)
\(110\) 3.46285e6 610593.i 2.60169 0.458748i
\(111\) −1.56453e6 + 569443.i −1.14397 + 0.416372i
\(112\) −756804. 635034.i −0.538678 0.452005i
\(113\) 1.91316e6i 1.32592i 0.748657 + 0.662958i \(0.230699\pi\)
−0.748657 + 0.662958i \(0.769301\pi\)
\(114\) 1.50444e6 + 2.37230e6i 1.01546 + 1.60124i
\(115\) −3.00075e6 −1.97304
\(116\) −2.53555e6 + 3.02175e6i −1.62442 + 1.93591i
\(117\) −190649. 523804.i −0.119036 0.327048i
\(118\) 292696. + 1.65996e6i 0.178144 + 1.01030i
\(119\) 138426. 785050.i 0.0821439 0.465861i
\(120\) −4.26474e6 1.55224e6i −2.46802 0.898286i
\(121\) −138876. 240540.i −0.0783918 0.135779i
\(122\) −3.02994e6 1.74934e6i −1.66861 0.963372i
\(123\) 572882. 480705.i 0.307857 0.258323i
\(124\) 1.70765e6 + 2.03510e6i 0.895642 + 1.06738i
\(125\) −41583.8 + 72025.3i −0.0212909 + 0.0368769i
\(126\) −479711. + 276961.i −0.239810 + 0.138455i
\(127\) −838984. + 2.30509e6i −0.409583 + 1.12532i 0.547827 + 0.836591i \(0.315455\pi\)
−0.957411 + 0.288730i \(0.906767\pi\)
\(128\) −3.65130e6 643823.i −1.74108 0.306999i
\(129\) 617575. 108895.i 0.287687 0.0507270i
\(130\) 8.42179e6 3.06528e6i 3.83331 1.39521i
\(131\) 1.11512e6 + 935693.i 0.496028 + 0.416217i 0.856181 0.516677i \(-0.172831\pi\)
−0.360153 + 0.932893i \(0.617275\pi\)
\(132\) 5.36563e6i 2.33292i
\(133\) −239053. + 1.78725e6i −0.101611 + 0.759679i
\(134\) 3.23198e6 1.34324
\(135\) 1.95878e6 2.33439e6i 0.796132 0.948793i
\(136\) 890032. + 2.44534e6i 0.353825 + 0.972127i
\(137\) 188526. + 1.06919e6i 0.0733180 + 0.415807i 0.999271 + 0.0381690i \(0.0121525\pi\)
−0.925953 + 0.377638i \(0.876736\pi\)
\(138\) 1.19829e6 6.79586e6i 0.455959 2.58587i
\(139\) 1.30868e6 + 476319.i 0.487290 + 0.177359i 0.573969 0.818877i \(-0.305403\pi\)
−0.0866787 + 0.996236i \(0.527625\pi\)
\(140\) −2.95481e6 5.11788e6i −1.07683 1.86512i
\(141\) 1.73108e6 + 999441.i 0.617533 + 0.356533i
\(142\) −2.78561e6 + 2.33741e6i −0.972873 + 0.816337i
\(143\) −3.35747e6 4.00128e6i −1.14817 1.36833i
\(144\) 287056. 497196.i 0.0961346 0.166510i
\(145\) −4.81995e6 + 2.78280e6i −1.58102 + 0.912805i
\(146\) 540856. 1.48599e6i 0.173789 0.477482i
\(147\) 1.41941e6 + 250280.i 0.446844 + 0.0787906i
\(148\) 6.96965e6 1.22894e6i 2.14994 0.379092i
\(149\) −1.51244e6 + 550482.i −0.457213 + 0.166412i −0.560351 0.828255i \(-0.689334\pi\)
0.103138 + 0.994667i \(0.467112\pi\)
\(150\) −5.04863e6 4.23630e6i −1.49589 1.25520i
\(151\) 5.22183e6i 1.51667i −0.651864 0.758336i \(-0.726013\pi\)
0.651864 0.758336i \(-0.273987\pi\)
\(152\) −2.24136e6 5.44289e6i −0.638234 1.54988i
\(153\) 463248. 0.129342
\(154\) −3.33640e6 + 3.97617e6i −0.913516 + 1.08869i
\(155\) 1.28201e6 + 3.52229e6i 0.344268 + 0.945867i
\(156\) 2.37480e6 + 1.34682e7i 0.625539 + 3.54761i
\(157\) 1.09908e6 6.23317e6i 0.284007 1.61068i −0.424804 0.905285i \(-0.639657\pi\)
0.708811 0.705398i \(-0.249232\pi\)
\(158\) −1.67055e6 608032.i −0.423535 0.154154i
\(159\) −885176. 1.53317e6i −0.220211 0.381416i
\(160\) −477116. 275463.i −0.116483 0.0672517i
\(161\) 3.39322e6 2.84725e6i 0.813082 0.682257i
\(162\) 5.49188e6 + 6.54497e6i 1.29174 + 1.53944i
\(163\) −1.72305e6 + 2.98441e6i −0.397865 + 0.689122i −0.993462 0.114161i \(-0.963582\pi\)
0.595598 + 0.803283i \(0.296915\pi\)
\(164\) −2.75297e6 + 1.58943e6i −0.624124 + 0.360338i
\(165\) −2.58928e6 + 7.11400e6i −0.576405 + 1.58366i
\(166\) −2.79675e6 493142.i −0.611405 0.107807i
\(167\) 6.40487e6 1.12935e6i 1.37518 0.242482i 0.563277 0.826268i \(-0.309540\pi\)
0.811907 + 0.583786i \(0.198429\pi\)
\(168\) 6.29537e6 2.29133e6i 1.32768 0.483236i
\(169\) −6.50094e6 5.45494e6i −1.34684 1.13013i
\(170\) 7.44815e6i 1.51601i
\(171\) −1.04695e6 + 43544.2i −0.209382 + 0.00870847i
\(172\) −2.66562e6 −0.523858
\(173\) 3.29626e6 3.92833e6i 0.636624 0.758699i −0.347209 0.937788i \(-0.612870\pi\)
0.983833 + 0.179089i \(0.0573149\pi\)
\(174\) −4.37751e6 1.20271e7i −0.830959 2.28304i
\(175\) −734607. 4.16616e6i −0.137069 0.777360i
\(176\) 934177. 5.29798e6i 0.171353 0.971790i
\(177\) −3.41020e6 1.24121e6i −0.614978 0.223834i
\(178\) 6.20402e6 + 1.07457e7i 1.10005 + 1.90535i
\(179\) −636412. 367433.i −0.110963 0.0640647i 0.443491 0.896279i \(-0.353740\pi\)
−0.554455 + 0.832214i \(0.687073\pi\)
\(180\) 2.63076e6 2.20747e6i 0.451090 0.378510i
\(181\) 6.75492e6 + 8.05020e6i 1.13916 + 1.35760i 0.924624 + 0.380881i \(0.124379\pi\)
0.214535 + 0.976716i \(0.431176\pi\)
\(182\) −6.61481e6 + 1.14572e7i −1.09724 + 1.90048i
\(183\) 6.52350e6 3.76635e6i 1.06446 0.614564i
\(184\) −4.94558e6 + 1.35879e7i −0.793897 + 2.18121i
\(185\) 9.83373e6 + 1.73395e6i 1.55311 + 0.273856i
\(186\) −8.48896e6 + 1.49683e6i −1.31922 + 0.232613i
\(187\) 4.07907e6 1.48466e6i 0.623787 0.227040i
\(188\) −6.50881e6 5.46154e6i −0.979553 0.821943i
\(189\) 4.49829e6i 0.666288i
\(190\) −700109. 1.68331e7i −0.102072 2.45416i
\(191\) −3.82322e6 −0.548693 −0.274347 0.961631i \(-0.588462\pi\)
−0.274347 + 0.961631i \(0.588462\pi\)
\(192\) 5.40509e6 6.44153e6i 0.763658 0.910093i
\(193\) 1.27805e6 + 3.51142e6i 0.177778 + 0.488440i 0.996291 0.0860473i \(-0.0274236\pi\)
−0.818513 + 0.574487i \(0.805201\pi\)
\(194\) −1.96652e6 1.11527e7i −0.269335 1.52747i
\(195\) −3.35070e6 + 1.90027e7i −0.451889 + 2.56279i
\(196\) −5.75708e6 2.09541e6i −0.764600 0.278292i
\(197\) −158866. 275164.i −0.0207793 0.0359909i 0.855449 0.517887i \(-0.173281\pi\)
−0.876228 + 0.481897i \(0.839948\pi\)
\(198\) −2.61221e6 1.50816e6i −0.336522 0.194291i
\(199\) 1.53100e6 1.28466e6i 0.194274 0.163016i −0.540462 0.841369i \(-0.681750\pi\)
0.734736 + 0.678353i \(0.237306\pi\)
\(200\) 8.87687e6 + 1.05790e7i 1.10961 + 1.32238i
\(201\) −3.47924e6 + 6.02623e6i −0.428447 + 0.742091i
\(202\) 1.03020e7 5.94788e6i 1.24988 0.721619i
\(203\) 2.80991e6 7.72017e6i 0.335896 0.922866i
\(204\) −1.11928e7 1.97359e6i −1.31840 0.232470i
\(205\) −4.41703e6 + 778842.i −0.512706 + 0.0904040i
\(206\) −9.23584e6 + 3.36157e6i −1.05651 + 0.384539i
\(207\) 1.97188e6 + 1.65460e6i 0.222315 + 0.186544i
\(208\) 1.37118e7i 1.52372i
\(209\) −9.07927e6 + 3.73880e6i −0.994516 + 0.409537i
\(210\) 1.91748e7 2.07049
\(211\) −4.31621e6 + 5.14386e6i −0.459468 + 0.547573i −0.945182 0.326545i \(-0.894115\pi\)
0.485713 + 0.874118i \(0.338560\pi\)
\(212\) 2.57378e6 + 7.07141e6i 0.270125 + 0.742162i
\(213\) −1.35951e6 7.71019e6i −0.140684 0.797859i
\(214\) 3.28595e6 1.86356e7i 0.335290 1.90152i
\(215\) −3.53421e6 1.28635e6i −0.355612 0.129432i
\(216\) −7.34219e6 1.27170e7i −0.728558 1.26190i
\(217\) −4.79180e6 2.76655e6i −0.468943 0.270744i
\(218\) −2.45521e6 + 2.06017e6i −0.236984 + 0.198853i
\(219\) 2.18849e6 + 2.60814e6i 0.208359 + 0.248312i
\(220\) 1.60901e7 2.78689e7i 1.51109 2.61729i
\(221\) 9.58170e6 5.53200e6i 0.887699 0.512513i
\(222\) −7.85384e6 + 2.15782e7i −0.717833 + 1.97223i
\(223\) 1.17120e7 + 2.06514e6i 1.05613 + 0.186224i 0.674638 0.738149i \(-0.264300\pi\)
0.381490 + 0.924373i \(0.375411\pi\)
\(224\) 800892. 141219.i 0.0712574 0.0125646i
\(225\) 2.31014e6 840822.i 0.202811 0.0738170i
\(226\) 2.02133e7 + 1.69609e7i 1.75110 + 1.46935i
\(227\) 8.80907e6i 0.753100i −0.926396 0.376550i \(-0.877110\pi\)
0.926396 0.376550i \(-0.122890\pi\)
\(228\) 2.54816e7 + 3.40829e6i 2.14992 + 0.287562i
\(229\) −6.77679e6 −0.564310 −0.282155 0.959369i \(-0.591049\pi\)
−0.282155 + 0.959369i \(0.591049\pi\)
\(230\) −2.66029e7 + 3.17040e7i −2.18648 + 2.60574i
\(231\) −3.82216e6 1.05013e7i −0.310079 0.851936i
\(232\) 4.65714e6 + 2.64119e7i 0.372954 + 2.11513i
\(233\) 1.12879e6 6.40171e6i 0.0892374 0.506090i −0.907124 0.420863i \(-0.861727\pi\)
0.996362 0.0852273i \(-0.0271616\pi\)
\(234\) −7.22438e6 2.62946e6i −0.563837 0.205220i
\(235\) −5.99411e6 1.03821e7i −0.461872 0.799985i
\(236\) 1.33593e7 + 7.71301e6i 1.01636 + 0.586797i
\(237\) 2.93208e6 2.46030e6i 0.220257 0.184818i
\(238\) −7.06716e6 8.42232e6i −0.524221 0.624742i
\(239\) −1.14135e7 + 1.97687e7i −0.836036 + 1.44806i 0.0571487 + 0.998366i \(0.481799\pi\)
−0.893184 + 0.449691i \(0.851534\pi\)
\(240\) −1.72111e7 + 9.93685e6i −1.24502 + 0.718811i
\(241\) 5.79569e6 1.59235e7i 0.414051 1.13760i −0.540965 0.841045i \(-0.681941\pi\)
0.955017 0.296552i \(-0.0958369\pi\)
\(242\) −3.77259e6 665210.i −0.266191 0.0469367i
\(243\) −5.83121e6 + 1.02820e6i −0.406387 + 0.0716570i
\(244\) −3.00882e7 + 1.09512e7i −2.07122 + 0.753864i
\(245\) −6.62183e6 5.55638e6i −0.450277 0.377827i
\(246\) 1.03144e7i 0.692847i
\(247\) −2.11350e7 + 1.34031e7i −1.40252 + 0.889438i
\(248\) 1.80624e7 1.18419
\(249\) 3.93021e6 4.68384e6i 0.254576 0.303392i
\(250\) 392317. + 1.07788e6i 0.0251083 + 0.0689845i
\(251\) 1.29002e6 + 7.31607e6i 0.0815784 + 0.462654i 0.998043 + 0.0625376i \(0.0199193\pi\)
−0.916464 + 0.400117i \(0.868970\pi\)
\(252\) −880291. + 4.99238e6i −0.0550078 + 0.311965i
\(253\) 2.26659e7 + 8.24972e6i 1.39962 + 0.509422i
\(254\) 1.69162e7 + 2.92998e7i 1.03229 + 1.78798i
\(255\) −1.38876e7 8.01798e6i −0.837539 0.483554i
\(256\) −2.52893e7 + 2.12202e7i −1.50736 + 1.26482i
\(257\) −1.14238e7 1.36144e7i −0.672994 0.802043i 0.316194 0.948694i \(-0.397595\pi\)
−0.989188 + 0.146651i \(0.953150\pi\)
\(258\) 4.32454e6 7.49032e6i 0.251815 0.436156i
\(259\) −1.27652e7 + 7.36997e6i −0.734729 + 0.424196i
\(260\) 2.80529e7 7.70746e7i 1.59609 4.38522i
\(261\) 4.70175e6 + 829046.i 0.264447 + 0.0466291i
\(262\) 1.97719e7 3.48632e6i 1.09937 0.193849i
\(263\) 1.11083e7 4.04311e6i 0.610636 0.222253i −0.0181458 0.999835i \(-0.505776\pi\)
0.628781 + 0.777582i \(0.283554\pi\)
\(264\) 2.79460e7 + 2.34494e7i 1.51882 + 1.27444i
\(265\) 1.06176e7i 0.570545i
\(266\) 1.67637e7 + 1.83704e7i 0.890686 + 0.976054i
\(267\) −2.67147e7 −1.40351
\(268\) 1.90127e7 2.26584e7i 0.987731 1.17713i
\(269\) 2.06094e6 + 5.66238e6i 0.105879 + 0.290899i 0.981307 0.192449i \(-0.0616429\pi\)
−0.875428 + 0.483348i \(0.839421\pi\)
\(270\) −7.29828e6 4.13906e7i −0.370791 2.10286i
\(271\) −6.12873e6 + 3.47577e7i −0.307937 + 1.74640i 0.301409 + 0.953495i \(0.402543\pi\)
−0.609346 + 0.792904i \(0.708568\pi\)
\(272\) 1.07081e7 + 3.89742e6i 0.532114 + 0.193674i
\(273\) −1.42418e7 2.46675e7i −0.699964 1.21237i
\(274\) 1.29677e7 + 7.48693e6i 0.630395 + 0.363959i
\(275\) 1.76469e7 1.48075e7i 0.848535 0.712005i
\(276\) −4.05945e7 4.83787e7i −1.93081 2.30105i
\(277\) 4.89544e6 8.47915e6i 0.230331 0.398945i −0.727575 0.686029i \(-0.759352\pi\)
0.957905 + 0.287084i \(0.0926858\pi\)
\(278\) 1.66344e7 9.60390e6i 0.774237 0.447006i
\(279\) 1.09973e6 3.02149e6i 0.0506378 0.139126i
\(280\) −3.95690e7 6.97708e6i −1.80252 0.317834i
\(281\) 6.50837e6 1.14760e6i 0.293328 0.0517216i −0.0250478 0.999686i \(-0.507974\pi\)
0.318376 + 0.947965i \(0.396863\pi\)
\(282\) 2.59062e7 9.42910e6i 1.15520 0.420458i
\(283\) 1.19950e7 + 1.00650e7i 0.529228 + 0.444075i 0.867835 0.496853i \(-0.165511\pi\)
−0.338607 + 0.940928i \(0.609956\pi\)
\(284\) 3.32793e7i 1.45284i
\(285\) 3.21400e7 + 1.68155e7i 1.38839 + 0.726399i
\(286\) −7.20405e7 −3.07949
\(287\) 4.25574e6 5.07180e6i 0.180024 0.214544i
\(288\) 161637. + 444095.i 0.00676650 + 0.0185908i
\(289\) −2.59478e6 1.47158e7i −0.107500 0.609662i
\(290\) −1.33295e7 + 7.55954e7i −0.546537 + 3.09957i
\(291\) 2.29118e7 + 8.33923e6i 0.929782 + 0.338413i
\(292\) −7.23614e6 1.25334e7i −0.290642 0.503407i
\(293\) −1.80451e7 1.04184e7i −0.717393 0.414187i 0.0963992 0.995343i \(-0.469267\pi\)
−0.813793 + 0.581155i \(0.802601\pi\)
\(294\) 1.52280e7 1.27778e7i 0.599238 0.502821i
\(295\) 1.39904e7 + 1.66731e7i 0.544958 + 0.649456i
\(296\) 2.40588e7 4.16710e7i 0.927681 1.60679i
\(297\) −2.12133e7 + 1.22475e7i −0.809726 + 0.467496i
\(298\) −7.59232e6 + 2.08597e7i −0.286897 + 0.788243i
\(299\) 6.05446e7 + 1.06757e7i 2.26497 + 0.399375i
\(300\) −5.93988e7 + 1.04736e7i −2.19996 + 0.387912i
\(301\) 5.21700e6 1.89883e6i 0.191303 0.0696286i
\(302\) −5.51706e7 4.62936e7i −2.00303 1.68074i
\(303\) 2.56117e7i 0.920684i
\(304\) −2.45669e7 7.80176e6i −0.874441 0.277697i
\(305\) −4.51771e7 −1.59228
\(306\) 4.10689e6 4.89440e6i 0.143334 0.170818i
\(307\) −8.92872e6 2.45315e7i −0.308585 0.847829i −0.992933 0.118674i \(-0.962136\pi\)
0.684349 0.729155i \(-0.260087\pi\)
\(308\) 8.24875e6 + 4.67810e7i 0.282316 + 1.60109i
\(309\) 3.67458e6 2.08396e7i 0.124547 0.706339i
\(310\) 4.85799e7 + 1.76816e7i 1.63069 + 0.593523i
\(311\) 1.27300e7 + 2.20490e7i 0.423202 + 0.733008i 0.996251 0.0865138i \(-0.0275727\pi\)
−0.573048 + 0.819521i \(0.694239\pi\)
\(312\) 8.05253e7 + 4.64913e7i 2.65136 + 1.53076i
\(313\) −2.38491e7 + 2.00118e7i −0.777749 + 0.652609i −0.942681 0.333696i \(-0.891704\pi\)
0.164931 + 0.986305i \(0.447260\pi\)
\(314\) −5.61121e7 6.68718e7i −1.81246 2.16000i
\(315\) −3.57630e6 + 6.19432e6i −0.114420 + 0.198181i
\(316\) −1.40900e7 + 8.13489e6i −0.446531 + 0.257805i
\(317\) −1.00595e7 + 2.76382e7i −0.315789 + 0.867624i 0.675670 + 0.737204i \(0.263855\pi\)
−0.991459 + 0.130419i \(0.958368\pi\)
\(318\) −2.40460e7 4.23996e6i −0.747759 0.131850i
\(319\) 4.40577e7 7.76856e6i 1.35722 0.239314i
\(320\) −4.73903e7 + 1.72486e7i −1.44624 + 0.526387i
\(321\) 3.12099e7 + 2.61882e7i 0.943575 + 0.791754i
\(322\) 6.10927e7i 1.82988i
\(323\) −4.45966e6 2.03147e7i −0.132341 0.602842i
\(324\) 7.81917e7 2.29893
\(325\) 3.77414e7 4.49785e7i 1.09943 1.31025i
\(326\) 1.62559e7 + 4.46628e7i 0.469201 + 1.28912i
\(327\) −1.19826e6 6.79568e6i −0.0342695 0.194352i
\(328\) −3.75306e6 + 2.12847e7i −0.106357 + 0.603178i
\(329\) 1.66291e7 + 6.05251e6i 0.466962 + 0.169960i
\(330\) 5.22071e7 + 9.04254e7i 1.45274 + 2.51622i
\(331\) 1.66476e7 + 9.61149e6i 0.459058 + 0.265037i 0.711648 0.702536i \(-0.247949\pi\)
−0.252590 + 0.967573i \(0.581282\pi\)
\(332\) −1.99096e7 + 1.67061e7i −0.544062 + 0.456522i
\(333\) −5.50593e6 6.56171e6i −0.149107 0.177699i
\(334\) 4.48498e7 7.76821e7i 1.20371 2.08488i
\(335\) 3.61421e7 2.08667e7i 0.961345 0.555033i
\(336\) 1.00337e7 2.75672e7i 0.264510 0.726734i
\(337\) −4.71614e7 8.31583e6i −1.23225 0.217278i −0.480656 0.876909i \(-0.659601\pi\)
−0.751590 + 0.659631i \(0.770713\pi\)
\(338\) −1.15267e8 + 2.03247e7i −2.98507 + 0.526349i
\(339\) −5.33845e7 + 1.94304e7i −1.37030 + 0.498749i
\(340\) 5.22167e7 + 4.38150e7i 1.32853 + 1.11477i
\(341\) 3.01299e7i 0.759862i
\(342\) −8.82163e6 + 1.14475e7i −0.220531 + 0.286176i
\(343\) 4.36889e7 1.08265
\(344\) −1.16496e7 + 1.38834e7i −0.286177 + 0.341053i
\(345\) −3.04761e7 8.37323e7i −0.742167 2.03909i
\(346\) −1.22816e7 6.96525e7i −0.296502 1.68155i
\(347\) 6.22143e6 3.52835e7i 0.148902 0.844468i −0.815248 0.579112i \(-0.803399\pi\)
0.964151 0.265356i \(-0.0854895\pi\)
\(348\) −1.10070e8 4.00622e7i −2.61175 0.950598i
\(349\) −2.13212e7 3.69294e7i −0.501574 0.868751i −0.999998 0.00181819i \(-0.999421\pi\)
0.498425 0.866933i \(-0.333912\pi\)
\(350\) −5.05297e7 2.91733e7i −1.17854 0.680428i
\(351\) −4.78264e7 + 4.01311e7i −1.10598 + 0.928025i
\(352\) 2.84655e6 + 3.39239e6i 0.0652666 + 0.0777817i
\(353\) −4.34083e7 + 7.51854e7i −0.986844 + 1.70926i −0.353408 + 0.935469i \(0.614977\pi\)
−0.633436 + 0.773795i \(0.718356\pi\)
\(354\) −4.33467e7 + 2.50262e7i −0.977116 + 0.564138i
\(355\) −1.60595e7 + 4.41232e7i −0.358962 + 0.986239i
\(356\) 1.11831e8 + 1.97188e7i 2.47863 + 0.437049i
\(357\) 2.33118e7 4.11050e6i 0.512355 0.0903420i
\(358\) −9.52413e6 + 3.46650e6i −0.207576 + 0.0755513i
\(359\) −1.98968e7 1.66954e7i −0.430031 0.360838i 0.401933 0.915669i \(-0.368339\pi\)
−0.831963 + 0.554831i \(0.812783\pi\)
\(360\) 2.33492e7i 0.500453i
\(361\) 1.19885e7 + 4.54928e7i 0.254826 + 0.966987i
\(362\) 1.44939e8 3.05533
\(363\) 5.30154e6 6.31813e6i 0.110836 0.132090i
\(364\) 4.14101e7 + 1.13773e8i 0.858622 + 2.35904i
\(365\) −3.54580e6 2.01092e7i −0.0729182 0.413540i
\(366\) 1.80406e7 1.02314e8i 0.367967 2.08684i
\(367\) −2.46460e7 8.97040e6i −0.498595 0.181474i 0.0804670 0.996757i \(-0.474359\pi\)
−0.579062 + 0.815284i \(0.696581\pi\)
\(368\) 3.16598e7 + 5.48363e7i 0.635279 + 1.10034i
\(369\) 3.33201e6 + 1.92374e6i 0.0663173 + 0.0382883i
\(370\) 1.05500e8 8.85250e7i 2.08280 1.74767i
\(371\) −1.00745e7 1.20063e7i −0.197289 0.235120i
\(372\) −3.94439e7 + 6.83189e7i −0.766216 + 1.32713i
\(373\) 6.67781e7 3.85543e7i 1.28679 0.742928i 0.308709 0.951157i \(-0.400103\pi\)
0.978080 + 0.208229i \(0.0667699\pi\)
\(374\) 2.04766e7 5.62591e7i 0.391421 1.07542i
\(375\) −2.43211e6 428847.i −0.0461201 0.00813221i
\(376\) −5.68909e7 + 1.00314e7i −1.07024 + 0.188712i
\(377\) 1.07150e8 3.89995e7i 1.99972 0.727838i
\(378\) 4.75262e7 + 3.98792e7i 0.879950 + 0.738365i
\(379\) 8.84905e6i 0.162547i −0.996692 0.0812735i \(-0.974101\pi\)
0.996692 0.0812735i \(-0.0258987\pi\)
\(380\) −1.22130e8 9.41151e7i −2.22572 1.71518i
\(381\) −7.28417e7 −1.31706
\(382\) −3.38945e7 + 4.03938e7i −0.608049 + 0.724645i
\(383\) −3.77414e6 1.03694e7i −0.0671772 0.184568i 0.901562 0.432651i \(-0.142422\pi\)
−0.968739 + 0.248083i \(0.920199\pi\)
\(384\) −1.91181e7 1.08424e8i −0.337637 1.91484i
\(385\) −1.16385e7 + 6.60049e7i −0.203945 + 1.15663i
\(386\) 4.84300e7 + 1.76271e7i 0.842079 + 0.306492i
\(387\) 1.61314e6 + 2.79404e6i 0.0278317 + 0.0482059i
\(388\) −8.97564e7 5.18209e7i −1.53663 0.887176i
\(389\) −6.37612e7 + 5.35020e7i −1.08320 + 0.908911i −0.996182 0.0872962i \(-0.972177\pi\)
−0.0870153 + 0.996207i \(0.527733\pi\)
\(390\) 1.71066e8 + 2.03869e8i 2.88383 + 3.43682i
\(391\) −2.55461e7 + 4.42471e7i −0.427360 + 0.740210i
\(392\) −3.60738e7 + 2.08272e7i −0.598871 + 0.345758i
\(393\) −1.47841e7 + 4.06190e7i −0.243567 + 0.669194i
\(394\) −4.31562e6 760961.i −0.0705594 0.0124415i
\(395\) −2.26069e7 + 3.98620e6i −0.366817 + 0.0646797i
\(396\) −2.59401e7 + 9.44141e6i −0.417720 + 0.152038i
\(397\) −4.76226e7 3.99601e7i −0.761099 0.638638i 0.177314 0.984154i \(-0.443259\pi\)
−0.938413 + 0.345516i \(0.887704\pi\)
\(398\) 2.75646e7i 0.437223i
\(399\) −5.22990e7 + 1.14811e7i −0.823331 + 0.180744i
\(400\) 6.04734e7 0.944897
\(401\) 2.86952e7 3.41976e7i 0.445016 0.530349i −0.496176 0.868222i \(-0.665263\pi\)
0.941192 + 0.337873i \(0.109707\pi\)
\(402\) 3.28245e7 + 9.01846e7i 0.505266 + 1.38821i
\(403\) −1.33354e7 7.56286e7i −0.203746 1.15550i
\(404\) 1.89047e7 1.07214e8i 0.286698 1.62595i
\(405\) 1.03670e8 + 3.77328e7i 1.56059 + 0.568008i
\(406\) −5.66556e7 9.81303e7i −0.846573 1.46631i
\(407\) −6.95113e7 4.01324e7i −1.03103 0.595267i
\(408\) −5.91951e7 + 4.96706e7i −0.871576 + 0.731339i
\(409\) 6.88275e7 + 8.20254e7i 1.00599 + 1.19889i 0.979954 + 0.199226i \(0.0638428\pi\)
0.0260322 + 0.999661i \(0.491713\pi\)
\(410\) −3.09300e7 + 5.35724e7i −0.448775 + 0.777302i
\(411\) −2.79197e7 + 1.61194e7i −0.402147 + 0.232180i
\(412\) −3.07645e7 + 8.45247e7i −0.439904 + 1.20863i
\(413\) −3.16404e7 5.57906e6i −0.449150 0.0791973i
\(414\) 3.49630e7 6.16492e6i 0.492728 0.0868813i
\(415\) −3.44589e7 + 1.25420e7i −0.482123 + 0.175478i
\(416\) 8.64654e6 + 7.25531e6i 0.120105 + 0.100780i
\(417\) 4.13546e7i 0.570317i
\(418\) −4.09896e7 + 1.29072e8i −0.561235 + 1.76727i
\(419\) 1.19352e8 1.62251 0.811253 0.584696i \(-0.198786\pi\)
0.811253 + 0.584696i \(0.198786\pi\)
\(420\) 1.12799e8 1.34429e8i 1.52250 1.81444i
\(421\) 3.19472e7 + 8.77743e7i 0.428141 + 1.17631i 0.946940 + 0.321412i \(0.104157\pi\)
−0.518798 + 0.854897i \(0.673620\pi\)
\(422\) 1.60819e7 + 9.12050e7i 0.213993 + 1.21362i
\(423\) −1.78575e6 + 1.01275e7i −0.0235939 + 0.133808i
\(424\) 4.80784e7 + 1.74991e7i 0.630743 + 0.229572i
\(425\) 2.43978e7 + 4.22583e7i 0.317822 + 0.550484i
\(426\) −9.35138e7 5.39902e7i −1.20961 0.698371i
\(427\) 5.10859e7 4.28662e7i 0.656171 0.550593i
\(428\) −1.11318e8 1.32664e8i −1.41982 1.69208i
\(429\) 7.75520e7 1.34324e8i 0.982248 1.70130i
\(430\) −4.49230e7 + 2.59363e7i −0.565019 + 0.326214i
\(431\) −6.29845e6 + 1.73049e7i −0.0786687 + 0.216141i −0.972792 0.231681i \(-0.925578\pi\)
0.894123 + 0.447821i \(0.147800\pi\)
\(432\) −6.33255e7 1.11660e7i −0.785466 0.138499i
\(433\) −9.93446e7 + 1.75171e7i −1.22372 + 0.215774i −0.747925 0.663784i \(-0.768950\pi\)
−0.475792 + 0.879558i \(0.657838\pi\)
\(434\) −7.17110e7 + 2.61007e7i −0.877236 + 0.319288i
\(435\) −1.26603e8 1.06233e8i −1.53807 1.29059i
\(436\) 2.93320e7i 0.353902i
\(437\) 5.35758e7 1.02401e8i 0.641984 1.22704i
\(438\) 4.69578e7 0.558837
\(439\) 5.90164e7 7.03330e7i 0.697556 0.831315i −0.294691 0.955592i \(-0.595217\pi\)
0.992247 + 0.124278i \(0.0396613\pi\)
\(440\) −7.48315e7 2.05598e8i −0.878469 2.41357i
\(441\) 1.28763e6 + 7.30251e6i 0.0150133 + 0.0851444i
\(442\) 2.64980e7 1.50278e8i 0.306865 1.74032i
\(443\) −5.56529e7 2.02560e7i −0.640143 0.232993i 0.00149729 0.999999i \(-0.499523\pi\)
−0.641640 + 0.767006i \(0.721746\pi\)
\(444\) 1.05077e8 + 1.81999e8i 1.20049 + 2.07931i
\(445\) 1.38755e8 + 8.01102e7i 1.57459 + 0.909092i
\(446\) 1.25651e8 1.05433e8i 1.41632 1.18843i
\(447\) −3.07211e7 3.66120e7i −0.343965 0.409922i
\(448\) 3.72222e7 6.44708e7i 0.413969 0.717016i
\(449\) −7.28820e7 + 4.20785e7i −0.805159 + 0.464859i −0.845272 0.534337i \(-0.820561\pi\)
0.0401131 + 0.999195i \(0.487228\pi\)
\(450\) 1.15967e7 3.18617e7i 0.127262 0.349649i
\(451\) 3.55049e7 + 6.26047e6i 0.387043 + 0.0682461i
\(452\) 2.37816e8 4.19334e7i 2.57529 0.454093i
\(453\) 1.45709e8 5.30337e7i 1.56744 0.570502i
\(454\) −9.30713e7 7.80961e7i −0.994600 0.834568i
\(455\) 1.70829e8i 1.81354i
\(456\) 1.29114e8 1.17821e8i 1.36169 1.24259i
\(457\) −1.14689e8 −1.20164 −0.600819 0.799385i \(-0.705159\pi\)
−0.600819 + 0.799385i \(0.705159\pi\)
\(458\) −6.00790e7 + 7.15994e7i −0.625355 + 0.745269i
\(459\) −1.77458e7 4.87562e7i −0.183509 0.504187i
\(460\) 6.57715e7 + 3.73009e8i 0.675717 + 3.83218i
\(461\) −2.05634e7 + 1.16621e8i −0.209890 + 1.19035i 0.679666 + 0.733522i \(0.262125\pi\)
−0.889556 + 0.456826i \(0.848986\pi\)
\(462\) −1.44835e8 5.27157e7i −1.46875 0.534582i
\(463\) −2.71009e7 4.69401e7i −0.273049 0.472935i 0.696592 0.717468i \(-0.254699\pi\)
−0.969641 + 0.244533i \(0.921366\pi\)
\(464\) 1.01707e8 + 5.87206e7i 1.01812 + 0.587810i
\(465\) −8.52651e7 + 7.15459e7i −0.848033 + 0.711584i
\(466\) −5.76293e7 6.86800e7i −0.569490 0.678691i
\(467\) −6.23438e7 + 1.07983e8i −0.612129 + 1.06024i 0.378752 + 0.925498i \(0.376353\pi\)
−0.990881 + 0.134740i \(0.956980\pi\)
\(468\) −6.09330e7 + 3.51797e7i −0.594450 + 0.343206i
\(469\) −2.10700e7 + 5.78892e7i −0.204242 + 0.561150i
\(470\) −1.62831e8 2.87116e7i −1.56835 0.276543i
\(471\) 1.85092e8 3.26367e7i 1.77143 0.312351i
\(472\) 9.85562e7 3.58715e7i 0.937256 0.341133i
\(473\) 2.31589e7 + 1.94326e7i 0.218844 + 0.183632i
\(474\) 5.27901e7i 0.495699i
\(475\) −5.91120e7 9.32116e7i −0.551562 0.869740i
\(476\) −1.00620e8 −0.932962
\(477\) 5.85452e6 6.97715e6i 0.0539432 0.0642870i
\(478\) 1.07679e8 + 2.95846e8i 0.985935 + 2.70883i
\(479\) −8.45211e6 4.79343e7i −0.0769057 0.436154i −0.998812 0.0487398i \(-0.984479\pi\)
0.921906 0.387414i \(-0.126632\pi\)
\(480\) 2.84081e6 1.61110e7i 0.0256873 0.145680i
\(481\) −1.92242e8 6.99702e7i −1.72748 0.628750i
\(482\) −1.16857e8 2.02403e8i −1.04355 1.80749i
\(483\) 1.13911e8 + 6.57667e7i 1.01094 + 0.583666i
\(484\) −2.68565e7 + 2.25353e7i −0.236872 + 0.198759i
\(485\) −9.39961e7 1.12020e8i −0.823919 0.981908i
\(486\) −4.08327e7 + 7.07244e7i −0.355713 + 0.616113i
\(487\) 1.94302e7 1.12180e7i 0.168225 0.0971247i −0.413524 0.910493i \(-0.635702\pi\)
0.581749 + 0.813369i \(0.302369\pi\)
\(488\) −7.44572e7 + 2.04569e8i −0.640689 + 1.76028i
\(489\) −1.00776e8 1.77696e7i −0.861849 0.151967i
\(490\) −1.17411e8 + 2.07026e7i −0.997973 + 0.175970i
\(491\) 1.52740e8 5.55929e7i 1.29035 0.469651i 0.396511 0.918030i \(-0.370221\pi\)
0.893844 + 0.448379i \(0.147999\pi\)
\(492\) −7.23109e7 6.06760e7i −0.607167 0.509474i
\(493\) 9.47627e7i 0.790854i
\(494\) −4.57606e7 + 3.42123e8i −0.379587 + 2.83793i
\(495\) −3.89487e7 −0.321127
\(496\) 5.08412e7 6.05902e7i 0.416649 0.496543i
\(497\) −2.37062e7 6.51323e7i −0.193105 0.530551i
\(498\) −1.46437e7 8.30484e7i −0.118566 0.672424i
\(499\) −6.89404e6 + 3.90981e7i −0.0554846 + 0.314669i −0.999901 0.0140834i \(-0.995517\pi\)
0.944416 + 0.328752i \(0.106628\pi\)
\(500\) 9.86458e6 + 3.59041e6i 0.0789166 + 0.0287233i
\(501\) 9.65621e7 + 1.67251e8i 0.767881 + 1.33001i
\(502\) 8.87337e7 + 5.12304e7i 0.701419 + 0.404964i
\(503\) 1.54191e8 1.29382e8i 1.21159 1.01665i 0.212370 0.977189i \(-0.431882\pi\)
0.999221 0.0394568i \(-0.0125628\pi\)
\(504\) 2.21548e7 + 2.64031e7i 0.173052 + 0.206235i
\(505\) 7.68027e7 1.33026e8i 0.596352 1.03291i
\(506\) 2.88104e8 1.66337e8i 2.22381 1.28392i
\(507\) 8.61890e7 2.36802e8i 0.661345 1.81703i
\(508\) 3.04924e8 + 5.37664e7i 2.32595 + 0.410128i
\(509\) 5.93553e7 1.04659e7i 0.450097 0.0793642i 0.0559952 0.998431i \(-0.482167\pi\)
0.394102 + 0.919067i \(0.371056\pi\)
\(510\) −2.07832e8 + 7.56447e7i −1.56676 + 0.570253i
\(511\) 2.30902e7 + 1.93750e7i 0.173047 + 0.145204i
\(512\) 2.18029e8i 1.62444i
\(513\) 4.46890e7 + 1.08522e8i 0.331016 + 0.803836i
\(514\) −2.45118e8 −1.80503
\(515\) −8.15779e7 + 9.72207e7i −0.597243 + 0.711766i
\(516\) −2.70725e7 7.43811e7i −0.197051 0.541394i
\(517\) 1.67334e7 + 9.48996e7i 0.121091 + 0.686741i
\(518\) −3.53019e7 + 2.00207e8i −0.253985 + 1.44042i
\(519\) 1.43093e8 + 5.20815e7i 1.02357 + 0.372547i
\(520\) −2.78830e8 4.82948e8i −1.98303 3.43471i
\(521\) −4.90675e7 2.83291e7i −0.346961 0.200318i 0.316385 0.948631i \(-0.397531\pi\)
−0.663346 + 0.748313i \(0.730864\pi\)
\(522\) 5.04422e7 4.23260e7i 0.354636 0.297575i
\(523\) −1.29197e8 1.53971e8i −0.903126 1.07630i −0.996739 0.0806953i \(-0.974286\pi\)
0.0936126 0.995609i \(-0.470159\pi\)
\(524\) 9.18702e7 1.59124e8i 0.638529 1.10596i
\(525\) 1.08791e8 6.28106e7i 0.751823 0.434065i
\(526\) 5.57631e7 1.53208e8i 0.383168 1.05275i
\(527\) 6.28516e7 + 1.10824e7i 0.429422 + 0.0757187i
\(528\) 1.57322e8 2.77400e7i 1.06878 0.188454i
\(529\) −1.27671e8 + 4.64685e7i −0.862433 + 0.313900i
\(530\) 1.12179e8 + 9.41297e7i 0.753504 + 0.632265i
\(531\) 1.86706e7i 0.124702i
\(532\) 2.27405e8 9.45805e6i 1.51030 0.0628155i
\(533\) 9.18912e7 0.606865
\(534\) −2.36837e8 + 2.82251e8i −1.55534 + 1.85358i
\(535\) −8.35713e7 2.29610e8i −0.545753 1.49944i
\(536\) −3.49213e7 1.98048e8i −0.226775 1.28611i
\(537\) 3.78927e6 2.14900e7i 0.0244700 0.138776i
\(538\) 7.80964e7 + 2.84247e7i 0.501515 + 0.182537i
\(539\) 3.47418e7 + 6.01745e7i 0.221864 + 0.384279i
\(540\) −3.33110e8 1.92321e8i −2.11547 1.22137i
\(541\) −1.64553e8 + 1.38076e8i −1.03923 + 0.872020i −0.991921 0.126860i \(-0.959510\pi\)
−0.0473125 + 0.998880i \(0.515066\pi\)
\(542\) 3.12895e8 + 3.72894e8i 1.96517 + 2.34200i
\(543\) −1.56027e8 + 2.70247e8i −0.974543 + 1.68796i
\(544\) −8.12361e6 + 4.69017e6i −0.0504606 + 0.0291334i
\(545\) −1.41547e7 + 3.88897e7i −0.0874403 + 0.240240i
\(546\) −3.86881e8 6.82175e7i −2.37683 0.419100i
\(547\) −1.25582e7 + 2.21435e6i −0.0767299 + 0.0135296i −0.211881 0.977295i \(-0.567959\pi\)
0.135151 + 0.990825i \(0.456848\pi\)
\(548\) 1.28774e8 4.68697e7i 0.782501 0.284807i
\(549\) 2.96871e7 + 2.49105e7i 0.179412 + 0.150545i
\(550\) 3.17721e8i 1.90967i
\(551\) −8.90746e6 2.14167e8i −0.0532475 1.28026i
\(552\) −4.29382e8 −2.55286
\(553\) 2.17814e7 2.59581e7i 0.128798 0.153496i
\(554\) −4.61854e7 1.26893e8i −0.271629 0.746293i
\(555\) 5.14891e7 + 2.92009e8i 0.301187 + 1.70812i
\(556\) 3.05249e7 1.73116e8i 0.177595 1.00719i
\(557\) 7.15549e7 + 2.60439e7i 0.414070 + 0.150709i 0.540651 0.841247i \(-0.318178\pi\)
−0.126581 + 0.991956i \(0.540400\pi\)
\(558\) −2.21737e7 3.84059e7i −0.127625 0.221053i
\(559\) 6.67316e7 + 3.85275e7i 0.382029 + 0.220565i
\(560\) −1.34781e8 + 1.13095e8i −0.767477 + 0.643990i
\(561\) 8.28554e7 + 9.87432e7i 0.469280 + 0.559266i
\(562\) 4.55746e7 7.89374e7i 0.256752 0.444707i
\(563\) −2.11546e8 + 1.22136e8i −1.18544 + 0.684416i −0.957267 0.289204i \(-0.906609\pi\)
−0.228175 + 0.973620i \(0.573276\pi\)
\(564\) 8.62933e7 2.37089e8i 0.480994 1.32152i
\(565\) 3.35543e8 + 5.91653e7i 1.86039 + 0.328036i
\(566\) 2.12682e8 3.75016e7i 1.17296 0.206824i
\(567\) −1.53032e8 + 5.56991e7i −0.839525 + 0.305562i
\(568\) 1.73329e8 + 1.45441e8i 0.945861 + 0.793672i
\(569\) 3.13002e8i 1.69906i −0.527537 0.849532i \(-0.676884\pi\)
0.527537 0.849532i \(-0.323116\pi\)
\(570\) 4.62596e8 1.90495e8i 2.49792 1.02863i
\(571\) 1.66198e8 0.892723 0.446362 0.894853i \(-0.352720\pi\)
0.446362 + 0.894853i \(0.352720\pi\)
\(572\) −4.23790e8 + 5.05054e8i −2.26445 + 2.69867i
\(573\) −3.88293e7 1.06683e8i −0.206393 0.567061i
\(574\) −1.58566e7 8.99272e7i −0.0838444 0.475505i
\(575\) −4.70829e7 + 2.67020e8i −0.247662 + 1.40456i
\(576\) 4.06523e7 + 1.47962e7i 0.212725 + 0.0774255i
\(577\) −9.43723e7 1.63458e8i −0.491266 0.850898i 0.508683 0.860954i \(-0.330132\pi\)
−0.999949 + 0.0100557i \(0.996799\pi\)
\(578\) −1.78482e8 1.03046e8i −0.924293 0.533641i
\(579\) −8.50021e7 + 7.13252e7i −0.437919 + 0.367458i
\(580\) 4.51563e8 + 5.38152e8i 2.31438 + 2.75817i
\(581\) 2.70654e7 4.68787e7i 0.138002 0.239027i
\(582\) 2.91230e8 1.68142e8i 1.47730 0.852917i
\(583\) 2.91902e7 8.01995e7i 0.147310 0.404731i
\(584\) −9.69019e7 1.70864e7i −0.486512 0.0857853i
\(585\) −9.77644e7 + 1.72385e7i −0.488330 + 0.0861057i
\(586\) −2.70052e8 + 9.82908e7i −1.34200 + 0.488450i
\(587\) 1.71142e8 + 1.43605e8i 0.846140 + 0.709996i 0.958936 0.283622i \(-0.0915361\pi\)
−0.112796 + 0.993618i \(0.535981\pi\)
\(588\) 1.81926e8i 0.894876i
\(589\) −1.43088e8 1.91387e7i −0.700258 0.0936628i
\(590\) 3.00188e8 1.46163
\(591\) 6.06465e6 7.22757e6i 0.0293794 0.0350131i
\(592\) −7.20655e7 1.97998e8i −0.347346 0.954325i
\(593\) 3.94539e7 + 2.23754e8i 0.189202 + 1.07302i 0.920436 + 0.390893i \(0.127834\pi\)
−0.731234 + 0.682127i \(0.761055\pi\)
\(594\) −5.86649e7 + 3.32705e8i −0.279911 + 1.58745i
\(595\) −1.33407e8 4.85561e7i −0.633325 0.230512i
\(596\) 1.01578e8 + 1.75938e8i 0.479801 + 0.831040i
\(597\) 5.13960e7 + 2.96735e7i 0.241550 + 0.139459i
\(598\) 6.49546e8 5.45033e8i 3.03743 2.54871i
\(599\) −2.38161e8 2.83829e8i −1.10813 1.32061i −0.942417 0.334439i \(-0.891453\pi\)
−0.165709 0.986175i \(-0.552991\pi\)
\(600\) −2.05041e8 + 3.55141e8i −0.949264 + 1.64417i
\(601\) −2.42241e8 + 1.39858e8i −1.11590 + 0.644263i −0.940350 0.340209i \(-0.889502\pi\)
−0.175546 + 0.984471i \(0.556169\pi\)
\(602\) 2.61890e7 7.19536e7i 0.120041 0.329809i
\(603\) −3.52558e7 6.21655e6i −0.160797 0.0283529i
\(604\) −6.49101e8 + 1.14454e8i −2.94579 + 0.519422i
\(605\) −4.64824e7 + 1.69182e7i −0.209905 + 0.0763991i
\(606\) 2.70598e8 + 2.27058e8i 1.21592 + 1.02028i
\(607\) 2.79272e8i 1.24871i −0.781142 0.624354i \(-0.785362\pi\)
0.781142 0.624354i \(-0.214638\pi\)
\(608\) 1.79188e7 1.13635e7i 0.0797255 0.0505595i
\(609\) 2.43960e8 1.08011
\(610\) −4.00513e8 + 4.77313e8i −1.76452 + 2.10288i
\(611\) 8.40043e7 + 2.30800e8i 0.368280 + 1.01184i
\(612\) −1.01537e7 5.75842e7i −0.0442964 0.251217i
\(613\) 3.76410e7 2.13472e8i 0.163410 0.926745i −0.787278 0.616598i \(-0.788510\pi\)
0.950688 0.310147i \(-0.100378\pi\)
\(614\) −3.38341e8 1.23146e8i −1.46167 0.532005i
\(615\) −6.65927e7 1.15342e8i −0.286287 0.495864i
\(616\) 2.79700e8 + 1.61485e8i 1.19660 + 0.690859i
\(617\) −2.98602e8 + 2.50557e8i −1.27127 + 1.06672i −0.276881 + 0.960904i \(0.589301\pi\)
−0.994386 + 0.105816i \(0.966255\pi\)
\(618\) −1.87601e8 2.23575e8i −0.794823 0.947234i
\(619\) 8.07757e7 1.39908e8i 0.340572 0.589888i −0.643967 0.765053i \(-0.722713\pi\)
0.984539 + 0.175165i \(0.0560459\pi\)
\(620\) 4.09740e8 2.36564e8i 1.71923 0.992597i
\(621\) 9.86070e7 2.70920e8i 0.411749 1.13127i
\(622\) 3.45814e8 + 6.09763e7i 1.43705 + 0.253390i
\(623\) −2.32915e8 + 4.10693e7i −0.963239 + 0.169845i
\(624\) 3.82613e8 1.39260e8i 1.57473 0.573154i
\(625\) −1.81266e8 1.52100e8i −0.742465 0.623002i
\(626\) 4.29388e8i 1.75036i
\(627\) −1.96537e8 2.15374e8i −0.797338 0.873759i
\(628\) −7.98907e8 −3.22565
\(629\) 1.09285e8 1.30240e8i 0.439145 0.523352i
\(630\) 3.37401e7 + 9.27002e7i 0.134935 + 0.370731i
\(631\) 4.15445e7 + 2.35611e8i 0.165358 + 0.937793i 0.948694 + 0.316195i \(0.102405\pi\)
−0.783336 + 0.621599i \(0.786484\pi\)
\(632\) −1.92086e7 + 1.08938e8i −0.0760931 + 0.431545i
\(633\) −1.87370e8 6.81970e7i −0.738734 0.268877i
\(634\) 2.02827e8 + 3.51306e8i 0.795898 + 1.37854i
\(635\) 3.78337e8 + 2.18433e8i 1.47760 + 0.853094i
\(636\) −1.71180e8 + 1.43637e8i −0.665397 + 0.558335i
\(637\) 1.13838e8 + 1.35667e8i 0.440421 + 0.524874i
\(638\) 3.08512e8 5.34358e8i 1.18798 2.05764i
\(639\) 3.48826e7 2.01395e7i 0.133692 0.0771872i
\(640\) −2.25836e8 + 6.20480e8i −0.861497 + 2.36694i
\(641\) −3.83052e8 6.75425e7i −1.45440 0.256450i −0.610102 0.792323i \(-0.708872\pi\)
−0.844299 + 0.535873i \(0.819983\pi\)
\(642\) 5.53377e8 9.75752e7i 2.09130 0.368752i
\(643\) 2.32874e8 8.47593e7i 0.875969 0.318827i 0.135387 0.990793i \(-0.456772\pi\)
0.740582 + 0.671966i \(0.234550\pi\)
\(644\) −4.28303e8 3.59389e8i −1.60359 1.34557i
\(645\) 1.11682e8i 0.416203i
\(646\) −2.54170e8 1.32981e8i −0.942815 0.493277i
\(647\) −4.29432e8 −1.58555 −0.792777 0.609511i \(-0.791366\pi\)
−0.792777 + 0.609511i \(0.791366\pi\)
\(648\) 3.41721e8 4.07248e8i 1.25588 1.49670i
\(649\) −5.98372e7 1.64401e8i −0.218896 0.601411i
\(650\) −1.40622e8 7.97506e8i −0.512050 2.90398i
\(651\) 2.85310e7 1.61807e8i 0.103413 0.586482i
\(652\) 4.08745e8 + 1.48771e8i 1.47472 + 0.536755i
\(653\) −1.23571e8 2.14031e8i −0.443789 0.768665i 0.554178 0.832398i \(-0.313033\pi\)
−0.997967 + 0.0637333i \(0.979699\pi\)
\(654\) −8.24221e7 4.75864e7i −0.294653 0.170118i
\(655\) 1.98594e8 1.66640e8i 0.706711 0.593001i
\(656\) 6.08352e7 + 7.25006e7i 0.215498 + 0.256821i
\(657\) −8.75811e6 + 1.51695e7i −0.0308826 + 0.0534903i
\(658\) 2.11371e8 1.22035e8i 0.741939 0.428359i
\(659\) −6.25704e7 + 1.71911e8i −0.218631 + 0.600685i −0.999718 0.0237375i \(-0.992443\pi\)
0.781087 + 0.624423i \(0.214666\pi\)
\(660\) 9.41062e8 + 1.65935e8i 3.27330 + 0.577172i
\(661\) 1.60241e7 2.82549e6i 0.0554843 0.00978339i −0.145837 0.989309i \(-0.546588\pi\)
0.201321 + 0.979525i \(0.435476\pi\)
\(662\) 2.49137e8 9.06784e7i 0.858745 0.312558i
\(663\) 2.51677e8 + 2.11182e8i 0.863582 + 0.724631i
\(664\) 1.76707e8i 0.603599i
\(665\) 3.06068e8 + 9.71983e7i 1.04076 + 0.330517i
\(666\) −1.18139e8 −0.399919
\(667\) −3.38467e8 + 4.03370e8i −1.14062 + 1.35933i
\(668\) −2.80769e8 7.71407e8i −0.941933 2.58794i
\(669\) 6.13236e7 + 3.47784e8i 0.204809 + 1.16153i
\(670\) 9.99504e7 5.66847e8i 0.332323 1.88470i
\(671\) 3.41242e8 + 1.24202e8i 1.12952 + 0.411112i
\(672\) 1.20745e7 + 2.09137e7i 0.0397890 + 0.0689165i
\(673\) 2.13735e8 + 1.23400e8i 0.701180 + 0.404826i 0.807787 0.589475i \(-0.200665\pi\)
−0.106607 + 0.994301i \(0.533999\pi\)
\(674\) −5.05966e8 + 4.24556e8i −1.65250 + 1.38661i
\(675\) −1.76991e8 2.10929e8i −0.575491 0.685844i
\(676\) −5.35588e8 + 9.27666e8i −1.73377 + 3.00297i
\(677\) 1.75287e8 1.01202e8i 0.564917 0.326155i −0.190200 0.981745i \(-0.560913\pi\)
0.755117 + 0.655590i \(0.227580\pi\)
\(678\) −2.67986e8 + 7.36286e8i −0.859851 + 2.36242i
\(679\) 2.12580e8 + 3.74836e7i 0.679068 + 0.119738i
\(680\) 4.56406e8 8.04767e7i 1.45153 0.255943i
\(681\) 2.45807e8 8.94664e7i 0.778310 0.283282i
\(682\) −3.18334e8 2.67114e8i −1.00353 0.842061i
\(683\) 3.23204e8i 1.01441i 0.861825 + 0.507206i \(0.169322\pi\)
−0.861825 + 0.507206i \(0.830678\pi\)
\(684\) 2.83604e7 + 1.29188e8i 0.0886224 + 0.403695i
\(685\) 1.93352e8 0.601556
\(686\) 3.87320e8 4.61590e8i 1.19977 1.42983i
\(687\) −6.88262e7 1.89098e8i −0.212267 0.583200i
\(688\) 1.37811e7 + 7.81567e7i 0.0423175 + 0.239994i
\(689\) 3.77740e7 2.14227e8i 0.115488 0.654963i
\(690\) −1.15485e9 4.20330e8i −3.51542 1.27951i
\(691\) 2.09385e6 + 3.62665e6i 0.00634617 + 0.0109919i 0.869181 0.494494i \(-0.164647\pi\)
−0.862835 + 0.505486i \(0.831313\pi\)
\(692\) −5.60561e8 3.23640e8i −1.69163 0.976662i
\(693\) 4.40429e7 3.69563e7i 0.132335 0.111043i
\(694\) −3.17628e8 3.78535e8i −0.950256 1.13247i
\(695\) 1.24012e8 2.14794e8i 0.369409 0.639835i
\(696\) −6.89696e8 + 3.98196e8i −2.04564 + 1.18105i
\(697\) −2.61189e7 + 7.17612e7i −0.0771360 + 0.211930i
\(698\) −5.79194e8 1.02128e8i −1.70317 0.300315i
\(699\) 1.90096e8 3.35191e7i 0.556599 0.0981434i
\(700\) −5.01775e8 + 1.82631e8i −1.46290 + 0.532453i
\(701\) −5.00209e8 4.19725e8i −1.45210 1.21846i −0.931027 0.364950i \(-0.881086\pi\)
−0.521077 0.853510i \(-0.674469\pi\)
\(702\) 8.61083e8i 2.48905i
\(703\) −2.34745e8 + 3.04620e8i −0.675662 + 0.876783i
\(704\) 4.05379e8 1.16183
\(705\) 2.28823e8 2.72701e8i 0.653030 0.778251i
\(706\) 4.09530e8 + 1.12518e9i 1.16378 + 3.19747i
\(707\) 3.93736e7 + 2.23299e8i 0.111416 + 0.631871i
\(708\) −7.95431e7 + 4.51111e8i −0.224131 + 1.27111i
\(709\) 6.11475e8 + 2.22559e8i 1.71570 + 0.624462i 0.997453 0.0713307i \(-0.0227246\pi\)
0.718243 + 0.695793i \(0.244947\pi\)
\(710\) 3.23805e8 + 5.60846e8i 0.904707 + 1.56700i
\(711\) 1.70536e7 + 9.84591e6i 0.0474469 + 0.0273935i
\(712\) 5.91437e8 4.96275e8i 1.63858 1.37493i
\(713\) 2.27952e8 + 2.71663e8i 0.628891 + 0.749483i
\(714\) 1.63240e8 2.82739e8i 0.448468 0.776769i
\(715\) −8.05604e8 + 4.65116e8i −2.20396 + 1.27246i
\(716\) −3.17247e7 + 8.71630e7i −0.0864289 + 0.237462i
\(717\) −6.67541e8 1.17706e8i −1.81101 0.319330i
\(718\) −3.52786e8 + 6.22057e7i −0.953100 + 0.168057i
\(719\) 3.32160e8 1.20896e8i 0.893635 0.325257i 0.145936 0.989294i \(-0.453381\pi\)
0.747699 + 0.664037i \(0.231158\pi\)
\(720\) −7.83244e7 6.57220e7i −0.209845 0.176081i
\(721\) 1.87341e8i 0.499837i
\(722\) 5.86932e8 + 2.76649e8i 1.55947 + 0.735051i
\(723\) 5.03190e8 1.33143
\(724\) 8.52626e8 1.01612e9i 2.24669 2.67750i
\(725\) 1.72000e8 + 4.72565e8i 0.451350 + 1.24007i
\(726\) −1.97532e7 1.12026e8i −0.0516210 0.292757i
\(727\) −1.55575e7 + 8.82310e7i −0.0404890 + 0.229624i −0.998337 0.0576519i \(-0.981639\pi\)
0.957848 + 0.287276i \(0.0927498\pi\)
\(728\) 7.73543e8 + 2.81547e8i 2.00489 + 0.729720i
\(729\) 1.37884e8 + 2.38823e8i 0.355903 + 0.616443i
\(730\) −2.43897e8 1.40814e8i −0.626957 0.361974i
\(731\) −4.90552e7 + 4.11622e7i −0.125584 + 0.105377i
\(732\) −6.11162e8 7.28354e8i −1.55820 1.85699i
\(733\) 9.57469e7 1.65839e8i 0.243116 0.421089i −0.718484 0.695543i \(-0.755164\pi\)
0.961600 + 0.274454i \(0.0884972\pi\)
\(734\) −3.13273e8 + 1.80868e8i −0.792199 + 0.457376i
\(735\) 8.77918e7 2.41206e8i 0.221102 0.607471i
\(736\) −5.13313e7 9.05109e6i −0.128750 0.0227022i
\(737\) −3.30364e8 + 5.82521e7i −0.825259 + 0.145515i
\(738\) 4.98646e7 1.81492e7i 0.124058 0.0451533i
\(739\) 4.54717e8 + 3.81553e8i 1.12670 + 0.945413i 0.998923 0.0463905i \(-0.0147719\pi\)
0.127775 + 0.991803i \(0.459216\pi\)
\(740\) 1.26039e9i 3.11036i
\(741\) −5.88649e8 4.53622e8i −1.44678 1.11491i
\(742\) −2.16166e8 −0.529147
\(743\) 1.69172e8 2.01612e8i 0.412442 0.491530i −0.519329 0.854574i \(-0.673818\pi\)
0.931772 + 0.363044i \(0.118263\pi\)
\(744\) 1.83445e8 + 5.04011e8i 0.445438 + 1.22383i
\(745\) 4.97746e7 + 2.82286e8i 0.120376 + 0.682684i
\(746\) 1.84674e8 1.04734e9i 0.444824 2.52272i
\(747\) 2.95596e7 + 1.07588e7i 0.0709147 + 0.0258108i
\(748\) −2.73958e8 4.74509e8i −0.654605 1.13381i
\(749\) 3.12367e8 + 1.80345e8i 0.743395 + 0.429199i
\(750\) −2.60926e7 + 2.18943e7i −0.0618492 + 0.0518976i
\(751\) 3.30249e8 + 3.93576e8i 0.779690 + 0.929198i 0.998919 0.0464749i \(-0.0147988\pi\)
−0.219229 + 0.975673i \(0.570354\pi\)
\(752\) −1.26483e8 + 2.19076e8i −0.297427 + 0.515158i
\(753\) −1.91045e8 + 1.10300e8i −0.447456 + 0.258339i
\(754\) 5.37886e8 1.47783e9i 1.25481 3.44755i
\(755\) −9.15840e8 1.61487e8i −2.12804 0.375230i
\(756\) 5.59162e8 9.85954e7i 1.29411 0.228187i
\(757\) 4.81174e8 1.75133e8i 1.10921 0.403720i 0.278507 0.960434i \(-0.410160\pi\)
0.830704 + 0.556714i \(0.187938\pi\)
\(758\) −9.34937e7 7.84505e7i −0.214672 0.180131i
\(759\) 7.16251e8i 1.63810i
\(760\) −1.02393e9 + 2.24781e8i −2.33254 + 0.512057i
\(761\) −1.64973e8 −0.374334 −0.187167 0.982328i \(-0.559931\pi\)
−0.187167 + 0.982328i \(0.559931\pi\)
\(762\) −6.45772e8 + 7.69601e8i −1.45953 + 1.73940i
\(763\) −2.08944e7 5.74069e7i −0.0470388 0.129238i
\(764\) 8.37989e7 + 4.75247e8i 0.187914 + 1.06571i