Properties

Label 19.7.f.a.2.8
Level $19$
Weight $7$
Character 19.2
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 2.8
Character \(\chi\) \(=\) 19.2
Dual form 19.7.f.a.10.8

$q$-expansion

\(f(q)\) \(=\) \(q+(12.3683 + 2.18087i) q^{2} +(-27.8366 + 33.1744i) q^{3} +(88.0791 + 32.0582i) q^{4} +(29.3643 - 10.6877i) q^{5} +(-416.642 + 349.604i) q^{6} +(202.665 + 351.026i) q^{7} +(323.379 + 186.703i) q^{8} +(-199.074 - 1129.00i) q^{9} +O(q^{10})\) \(q+(12.3683 + 2.18087i) q^{2} +(-27.8366 + 33.1744i) q^{3} +(88.0791 + 32.0582i) q^{4} +(29.3643 - 10.6877i) q^{5} +(-416.642 + 349.604i) q^{6} +(202.665 + 351.026i) q^{7} +(323.379 + 186.703i) q^{8} +(-199.074 - 1129.00i) q^{9} +(386.496 - 68.1497i) q^{10} +(1189.09 - 2059.56i) q^{11} +(-3515.34 + 2029.58i) q^{12} +(1021.39 + 1217.25i) q^{13} +(1741.09 + 4783.60i) q^{14} +(-462.844 + 1271.65i) q^{15} +(-1002.89 - 841.524i) q^{16} +(1007.90 - 5716.08i) q^{17} -14398.1i q^{18} +(747.181 + 6818.18i) q^{19} +2929.01 q^{20} +(-17286.6 - 3048.10i) q^{21} +(19198.7 - 22880.1i) q^{22} +(3501.07 + 1274.28i) q^{23} +(-15195.6 + 5530.73i) q^{24} +(-11221.4 + 9415.88i) q^{25} +(9978.24 + 17282.8i) q^{26} +(15655.0 + 9038.44i) q^{27} +(6597.31 + 37415.2i) q^{28} +(-26534.2 + 4678.70i) q^{29} +(-8497.92 + 14718.8i) q^{30} +(21010.9 - 12130.6i) q^{31} +(-25930.2 - 30902.4i) q^{32} +(35224.6 + 96778.8i) q^{33} +(24932.1 - 68500.3i) q^{34} +(9702.80 + 8141.62i) q^{35} +(18659.6 - 105824. i) q^{36} -27820.1i q^{37} +(-5628.19 + 85959.0i) q^{38} -68813.5 q^{39} +(11491.2 + 2026.22i) q^{40} +(-41636.6 + 49620.6i) q^{41} +(-207159. - 75399.8i) q^{42} +(72168.2 - 26267.1i) q^{43} +(170760. - 143285. i) q^{44} +(-17912.2 - 31024.8i) q^{45} +(40523.3 + 23396.1i) q^{46} +(-16552.5 - 93874.0i) q^{47} +(55834.1 - 9845.07i) q^{48} +(-23321.9 + 40394.7i) q^{49} +(-159325. + 91986.3i) q^{50} +(161571. + 192553. i) q^{51} +(50940.5 + 139958. i) q^{52} +(29306.2 - 80518.1i) q^{53} +(173915. + 145932. i) q^{54} +(12904.7 - 73186.4i) q^{55} +151353. i q^{56} +(-246988. - 165008. i) q^{57} -338388. q^{58} +(130564. + 23021.9i) q^{59} +(-81533.8 + 97168.2i) q^{60} +(-287813. - 104755. i) q^{61} +(286325. - 104214. i) q^{62} +(355965. - 298690. i) q^{63} +(-211425. - 366199. i) q^{64} +(43002.0 + 24827.2i) q^{65} +(224607. + 1.27381e6i) q^{66} +(-413890. + 72980.0i) q^{67} +(272022. - 471156. i) q^{68} +(-139732. + 80674.1i) q^{69} +(102252. + 121859. i) q^{70} +(-32030.1 - 88002.0i) q^{71} +(146412. - 402264. i) q^{72} +(260928. + 218945. i) q^{73} +(60672.1 - 344088. i) q^{74} -634370. i q^{75} +(-152767. + 624493. i) q^{76} +963949. q^{77} +(-851108. - 150073. i) q^{78} +(-350098. + 417231. i) q^{79} +(-38443.1 - 13992.2i) q^{80} +(49710.7 - 18093.2i) q^{81} +(-623192. + 522920. i) q^{82} +(53512.9 + 92687.1i) q^{83} +(-1.42487e6 - 822651. i) q^{84} +(-31495.7 - 178621. i) q^{85} +(949885. - 167490. i) q^{86} +(583410. - 1.01050e6i) q^{87} +(769054. - 444014. i) q^{88} +(221492. + 263964. i) q^{89} +(-153883. - 422789. i) q^{90} +(-220285. + 605228. i) q^{91} +(267520. + 224476. i) q^{92} +(-182446. + 1.03470e6i) q^{93} -1.19716e6i q^{94} +(94811.3 + 192225. i) q^{95} +1.74698e6 q^{96} +(285896. + 50411.3i) q^{97} +(-376549. + 448753. i) q^{98} +(-2.56197e6 - 932482. 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 \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 12.3683 + 2.18087i 1.54604 + 0.272609i 0.880607 0.473847i \(-0.157135\pi\)
0.665435 + 0.746456i \(0.268246\pi\)
\(3\) −27.8366 + 33.1744i −1.03099 + 1.22868i −0.0578810 + 0.998323i \(0.518434\pi\)
−0.973106 + 0.230359i \(0.926010\pi\)
\(4\) 88.0791 + 32.0582i 1.37624 + 0.500909i
\(5\) 29.3643 10.6877i 0.234914 0.0855018i −0.221881 0.975074i \(-0.571220\pi\)
0.456795 + 0.889572i \(0.348997\pi\)
\(6\) −416.642 + 349.604i −1.92890 + 1.61854i
\(7\) 202.665 + 351.026i 0.590861 + 1.02340i 0.994117 + 0.108314i \(0.0345451\pi\)
−0.403256 + 0.915087i \(0.632122\pi\)
\(8\) 323.379 + 186.703i 0.631600 + 0.364655i
\(9\) −199.074 1129.00i −0.273078 1.54870i
\(10\) 386.496 68.1497i 0.386496 0.0681497i
\(11\) 1189.09 2059.56i 0.893381 1.54738i 0.0575857 0.998341i \(-0.481660\pi\)
0.835795 0.549041i \(-0.185007\pi\)
\(12\) −3515.34 + 2029.58i −2.03434 + 1.17453i
\(13\) 1021.39 + 1217.25i 0.464902 + 0.554049i 0.946651 0.322260i \(-0.104443\pi\)
−0.481749 + 0.876309i \(0.659998\pi\)
\(14\) 1741.09 + 4783.60i 0.634507 + 1.74329i
\(15\) −462.844 + 1271.65i −0.137139 + 0.376786i
\(16\) −1002.89 841.524i −0.244846 0.205450i
\(17\) 1007.90 5716.08i 0.205150 1.16346i −0.692055 0.721845i \(-0.743294\pi\)
0.897204 0.441616i \(-0.145595\pi\)
\(18\) 14398.1i 2.46880i
\(19\) 747.181 + 6818.18i 0.108934 + 0.994049i
\(20\) 2929.01 0.366126
\(21\) −17286.6 3048.10i −1.86660 0.329133i
\(22\) 19198.7 22880.1i 1.80303 2.14877i
\(23\) 3501.07 + 1274.28i 0.287751 + 0.104733i 0.481863 0.876247i \(-0.339960\pi\)
−0.194112 + 0.980979i \(0.562183\pi\)
\(24\) −15195.6 + 5530.73i −1.09922 + 0.400082i
\(25\) −11221.4 + 9415.88i −0.718170 + 0.602616i
\(26\) 9978.24 + 17282.8i 0.567720 + 0.983319i
\(27\) 15655.0 + 9038.44i 0.795358 + 0.459200i
\(28\) 6597.31 + 37415.2i 0.300533 + 1.70441i
\(29\) −26534.2 + 4678.70i −1.08796 + 0.191836i −0.688732 0.725016i \(-0.741832\pi\)
−0.399226 + 0.916852i \(0.630721\pi\)
\(30\) −8497.92 + 14718.8i −0.314738 + 0.545142i
\(31\) 21010.9 12130.6i 0.705277 0.407192i −0.104033 0.994574i \(-0.533175\pi\)
0.809310 + 0.587382i \(0.199841\pi\)
\(32\) −25930.2 30902.4i −0.791325 0.943065i
\(33\) 35224.6 + 96778.8i 0.980176 + 2.69301i
\(34\) 24932.1 68500.3i 0.634340 1.74283i
\(35\) 9702.80 + 8141.62i 0.226304 + 0.189892i
\(36\) 18659.6 105824.i 0.399939 2.26817i
\(37\) 27820.1i 0.549229i −0.961554 0.274615i \(-0.911450\pi\)
0.961554 0.274615i \(-0.0885503\pi\)
\(38\) −5628.19 + 85959.0i −0.102569 + 1.56654i
\(39\) −68813.5 −1.16006
\(40\) 11491.2 + 2026.22i 0.179551 + 0.0316596i
\(41\) −41636.6 + 49620.6i −0.604121 + 0.719963i −0.978254 0.207412i \(-0.933496\pi\)
0.374133 + 0.927375i \(0.377940\pi\)
\(42\) −207159. 75399.8i −2.79612 1.01771i
\(43\) 72168.2 26267.1i 0.907696 0.330374i 0.154363 0.988014i \(-0.450667\pi\)
0.753332 + 0.657640i \(0.228445\pi\)
\(44\) 170760. 143285.i 2.00460 1.68206i
\(45\) −17912.2 31024.8i −0.196567 0.340464i
\(46\) 40523.3 + 23396.1i 0.416324 + 0.240365i
\(47\) −16552.5 93874.0i −0.159430 0.904173i −0.954623 0.297817i \(-0.903742\pi\)
0.795193 0.606357i \(-0.207370\pi\)
\(48\) 55834.1 9845.07i 0.504866 0.0890215i
\(49\) −23321.9 + 40394.7i −0.198233 + 0.343349i
\(50\) −159325. + 91986.3i −1.27460 + 0.735890i
\(51\) 161571. + 192553.i 1.21802 + 1.45158i
\(52\) 50940.5 + 139958.i 0.362287 + 0.995376i
\(53\) 29306.2 80518.1i 0.196848 0.540836i −0.801518 0.597970i \(-0.795974\pi\)
0.998367 + 0.0571341i \(0.0181963\pi\)
\(54\) 173915. + 145932.i 1.10447 + 0.926765i
\(55\) 12904.7 73186.4i 0.0775641 0.439888i
\(56\) 151353.i 0.861840i
\(57\) −246988. 165008.i −1.33368 0.891006i
\(58\) −338388. −1.73432
\(59\) 130564. + 23021.9i 0.635722 + 0.112095i 0.482215 0.876053i \(-0.339832\pi\)
0.153507 + 0.988148i \(0.450943\pi\)
\(60\) −81533.8 + 97168.2i −0.377471 + 0.449853i
\(61\) −287813. 104755.i −1.26801 0.461517i −0.381558 0.924345i \(-0.624612\pi\)
−0.886448 + 0.462828i \(0.846835\pi\)
\(62\) 286325. 104214.i 1.20139 0.437271i
\(63\) 355965. 298690.i 1.42359 1.19454i
\(64\) −211425. 366199.i −0.806522 1.39694i
\(65\) 43002.0 + 24827.2i 0.156584 + 0.0904041i
\(66\) 224607. + 1.27381e6i 0.781254 + 4.43071i
\(67\) −413890. + 72980.0i −1.37613 + 0.242650i −0.812301 0.583239i \(-0.801785\pi\)
−0.563833 + 0.825889i \(0.690674\pi\)
\(68\) 272022. 471156.i 0.865122 1.49844i
\(69\) −139732. + 80674.1i −0.425351 + 0.245576i
\(70\) 102252. + 121859.i 0.298110 + 0.355273i
\(71\) −32030.1 88002.0i −0.0894918 0.245877i 0.886870 0.462019i \(-0.152875\pi\)
−0.976362 + 0.216142i \(0.930653\pi\)
\(72\) 146412. 402264.i 0.392265 1.07774i
\(73\) 260928. + 218945.i 0.670737 + 0.562815i 0.913283 0.407325i \(-0.133538\pi\)
−0.242547 + 0.970140i \(0.577983\pi\)
\(74\) 60672.1 344088.i 0.149725 0.849131i
\(75\) 634370.i 1.50369i
\(76\) −152767. + 624493.i −0.348009 + 1.42261i
\(77\) 963949. 2.11146
\(78\) −851108. 150073.i −1.79350 0.316242i
\(79\) −350098. + 417231.i −0.710082 + 0.846243i −0.993627 0.112716i \(-0.964045\pi\)
0.283545 + 0.958959i \(0.408489\pi\)
\(80\) −38443.1 13992.2i −0.0750842 0.0273284i
\(81\) 49710.7 18093.2i 0.0935395 0.0340456i
\(82\) −623192. + 522920.i −1.13026 + 0.948405i
\(83\) 53512.9 + 92687.1i 0.0935889 + 0.162101i 0.909019 0.416755i \(-0.136833\pi\)
−0.815430 + 0.578856i \(0.803499\pi\)
\(84\) −1.42487e6 822651.i −2.40402 1.38796i
\(85\) −31495.7 178621.i −0.0512855 0.290854i
\(86\) 949885. 167490.i 1.49340 0.263326i
\(87\) 583410. 1.01050e6i 0.885965 1.53454i
\(88\) 769054. 444014.i 1.12852 0.651551i
\(89\) 221492. + 263964.i 0.314187 + 0.374433i 0.899908 0.436079i \(-0.143633\pi\)
−0.585722 + 0.810512i \(0.699189\pi\)
\(90\) −153883. 422789.i −0.211087 0.579957i
\(91\) −220285. + 605228.i −0.292322 + 0.803147i
\(92\) 267520. + 224476.i 0.343552 + 0.288274i
\(93\) −182446. + 1.03470e6i −0.226822 + 1.28637i
\(94\) 1.19716e6i 1.44135i
\(95\) 94811.3 + 192225.i 0.110583 + 0.224202i
\(96\) 1.74698e6 1.97457
\(97\) 285896. + 50411.3i 0.313252 + 0.0552347i 0.328064 0.944656i \(-0.393604\pi\)
−0.0148121 + 0.999890i \(0.504715\pi\)
\(98\) −376549. + 448753.i −0.400076 + 0.476792i
\(99\) −2.56197e6 932482.i −2.64040 0.961026i
\(100\) −1.29023e6 + 469605.i −1.29023 + 0.469605i
\(101\) −1.23266e6 + 1.03433e6i −1.19641 + 1.00391i −0.196687 + 0.980466i \(0.563018\pi\)
−0.999725 + 0.0234426i \(0.992537\pi\)
\(102\) 1.57843e6 + 2.73393e6i 1.48739 + 2.57624i
\(103\) 853139. + 492560.i 0.780743 + 0.450762i 0.836693 0.547672i \(-0.184486\pi\)
−0.0559508 + 0.998434i \(0.517819\pi\)
\(104\) 103033. + 584329.i 0.0915959 + 0.519466i
\(105\) −540187. + 95249.5i −0.466634 + 0.0822801i
\(106\) 538068. 931961.i 0.451772 0.782493i
\(107\) 271614. 156817.i 0.221718 0.128009i −0.385027 0.922905i \(-0.625808\pi\)
0.606746 + 0.794896i \(0.292475\pi\)
\(108\) 1.08913e6 + 1.29797e6i 0.864583 + 1.03037i
\(109\) 285228. + 783658.i 0.220248 + 0.605128i 0.999774 0.0212423i \(-0.00676216\pi\)
−0.779526 + 0.626370i \(0.784540\pi\)
\(110\) 319220. 877050.i 0.239835 0.658940i
\(111\) 922916. + 774419.i 0.674828 + 0.566248i
\(112\) 92146.4 522588.i 0.0655880 0.371968i
\(113\) 784165.i 0.543466i 0.962373 + 0.271733i \(0.0875967\pi\)
−0.962373 + 0.271733i \(0.912403\pi\)
\(114\) −2.69497e6 2.57952e6i −1.81903 1.74110i
\(115\) 116426. 0.0765517
\(116\) −2.48710e6 438543.i −1.59338 0.280956i
\(117\) 1.17094e6 1.39548e6i 0.731102 0.871294i
\(118\) 1.56465e6 + 569486.i 0.952295 + 0.346607i
\(119\) 2.21076e6 804652.i 1.31190 0.477493i
\(120\) −387096. + 324812.i −0.224014 + 0.187970i
\(121\) −1.94209e6 3.36380e6i −1.09626 1.89878i
\(122\) −3.33131e6 1.92333e6i −1.83458 1.05919i
\(123\) −487111. 2.76254e6i −0.261765 1.48455i
\(124\) 2.23951e6 394886.i 1.17459 0.207112i
\(125\) −473006. + 819270.i −0.242179 + 0.419466i
\(126\) 5.05410e6 2.91798e6i 2.52657 1.45872i
\(127\) −66697.5 79487.0i −0.0325611 0.0388048i 0.749518 0.661984i \(-0.230285\pi\)
−0.782079 + 0.623179i \(0.785841\pi\)
\(128\) −933325. 2.56429e6i −0.445044 1.22275i
\(129\) −1.13753e6 + 3.12532e6i −0.529897 + 1.45588i
\(130\) 477718. + 400853.i 0.217441 + 0.182455i
\(131\) 30426.4 172557.i 0.0135343 0.0767571i −0.977292 0.211895i \(-0.932037\pi\)
0.990827 + 0.135138i \(0.0431477\pi\)
\(132\) 9.65342e6i 4.19720i
\(133\) −2.24193e6 + 1.64409e6i −0.952945 + 0.698828i
\(134\) −5.27829e6 −2.19371
\(135\) 556300. + 98090.6i 0.226104 + 0.0398682i
\(136\) 1.39314e6 1.66029e6i 0.553834 0.660033i
\(137\) 2.94356e6 + 1.07137e6i 1.14475 + 0.416656i 0.843627 0.536929i \(-0.180416\pi\)
0.301124 + 0.953585i \(0.402638\pi\)
\(138\) −1.90419e6 + 693067.i −0.724556 + 0.263717i
\(139\) −865126. + 725927.i −0.322133 + 0.270302i −0.789485 0.613770i \(-0.789652\pi\)
0.467352 + 0.884071i \(0.345208\pi\)
\(140\) 593609. + 1.02816e6i 0.216330 + 0.374694i
\(141\) 3.57498e6 + 2.06402e6i 1.27531 + 0.736302i
\(142\) −204238. 1.15829e6i −0.0713299 0.404532i
\(143\) 3.72152e6 656205.i 1.27266 0.224404i
\(144\) −750435. + 1.29979e6i −0.251319 + 0.435298i
\(145\) −729154. + 420977.i −0.239175 + 0.138088i
\(146\) 2.74975e6 + 3.27703e6i 0.883559 + 1.05298i
\(147\) −690868. 1.89814e6i −0.217492 0.597554i
\(148\) 891862. 2.45037e6i 0.275114 0.755869i
\(149\) −3.36028e6 2.81961e6i −1.01582 0.852375i −0.0267244 0.999643i \(-0.508508\pi\)
−0.989097 + 0.147268i \(0.952952\pi\)
\(150\) 1.38348e6 7.84610e6i 0.409920 2.32477i
\(151\) 1.25377e6i 0.364155i 0.983284 + 0.182078i \(0.0582822\pi\)
−0.983284 + 0.182078i \(0.941718\pi\)
\(152\) −1.03135e6 + 2.34436e6i −0.293681 + 0.667565i
\(153\) −6.65413e6 −1.85788
\(154\) 1.19224e7 + 2.10225e6i 3.26440 + 0.575601i
\(155\) 487321. 580767.i 0.130864 0.155958i
\(156\) −6.06103e6 2.20603e6i −1.59651 0.581084i
\(157\) −161109. + 58638.9i −0.0416314 + 0.0151526i −0.362752 0.931886i \(-0.618163\pi\)
0.321121 + 0.947038i \(0.395941\pi\)
\(158\) −5.24006e6 + 4.39693e6i −1.32851 + 1.11475i
\(159\) 1.85535e6 + 3.21357e6i 0.461568 + 0.799459i
\(160\) −1.09170e6 630291.i −0.266528 0.153880i
\(161\) 262237. + 1.48722e6i 0.0628371 + 0.356367i
\(162\) 654298. 115370.i 0.153897 0.0271362i
\(163\) 302837. 524528.i 0.0699271 0.121117i −0.828942 0.559335i \(-0.811057\pi\)
0.898869 + 0.438217i \(0.144390\pi\)
\(164\) −5.25806e6 + 3.03574e6i −1.19205 + 0.688230i
\(165\) 2.06869e6 + 2.46537e6i 0.460515 + 0.548820i
\(166\) 459727. + 1.26309e6i 0.100502 + 0.276128i
\(167\) 381194. 1.04732e6i 0.0818459 0.224870i −0.892019 0.451998i \(-0.850711\pi\)
0.973865 + 0.227128i \(0.0729336\pi\)
\(168\) −5.02105e6 4.21316e6i −1.05893 0.888546i
\(169\) 399718. 2.26691e6i 0.0828121 0.469651i
\(170\) 2.27793e6i 0.463654i
\(171\) 7.54901e6 2.20089e6i 1.50974 0.440160i
\(172\) 7.19858e6 1.41469
\(173\) −3.22909e6 569376.i −0.623651 0.109967i −0.147112 0.989120i \(-0.546998\pi\)
−0.476539 + 0.879153i \(0.658109\pi\)
\(174\) 9.41957e6 1.12258e7i 1.78807 2.13093i
\(175\) −5.57941e6 2.03074e6i −1.04106 0.378914i
\(176\) −2.92570e6 + 1.06487e6i −0.536651 + 0.195325i
\(177\) −4.39820e6 + 3.69053e6i −0.793150 + 0.665532i
\(178\) 2.16381e6 + 3.74784e6i 0.383672 + 0.664539i
\(179\) 1.74939e6 + 1.01001e6i 0.305019 + 0.176103i 0.644695 0.764440i \(-0.276984\pi\)
−0.339677 + 0.940542i \(0.610318\pi\)
\(180\) −583090. 3.30687e6i −0.0999811 0.567021i
\(181\) −6.09505e6 + 1.07472e6i −1.02788 + 0.181243i −0.662065 0.749446i \(-0.730320\pi\)
−0.365812 + 0.930689i \(0.619209\pi\)
\(182\) −4.04448e6 + 7.00525e6i −0.670886 + 1.16201i
\(183\) 1.14870e7 6.63200e6i 1.87435 1.08216i
\(184\) 894260. + 1.06574e6i 0.143552 + 0.171079i
\(185\) −297334. 816918.i −0.0469601 0.129022i
\(186\) −4.51310e6 + 1.23996e7i −0.701352 + 1.92695i
\(187\) −1.05742e7 8.87278e6i −1.61704 1.35686i
\(188\) 1.55150e6 8.79898e6i 0.233495 1.32422i
\(189\) 7.32711e6i 1.08529i
\(190\) 753439. + 2.58428e6i 0.109847 + 0.376772i
\(191\) 8.61411e6 1.23626 0.618131 0.786075i \(-0.287890\pi\)
0.618131 + 0.786075i \(0.287890\pi\)
\(192\) 1.80338e7 + 3.17984e6i 2.54791 + 0.449265i
\(193\) 4.79273e6 5.71175e6i 0.666670 0.794507i −0.321656 0.946856i \(-0.604240\pi\)
0.988327 + 0.152350i \(0.0486841\pi\)
\(194\) 3.42612e6 + 1.24701e6i 0.469243 + 0.170790i
\(195\) −2.02066e6 + 735460.i −0.272514 + 0.0991871i
\(196\) −3.34915e6 + 2.81027e6i −0.444802 + 0.373233i
\(197\) −5.14069e6 8.90394e6i −0.672392 1.16462i −0.977224 0.212211i \(-0.931933\pi\)
0.304831 0.952406i \(-0.401400\pi\)
\(198\) −2.96537e7 1.71206e7i −3.82018 2.20558i
\(199\) 2.69331e6 + 1.52745e7i 0.341765 + 1.93825i 0.345947 + 0.938254i \(0.387558\pi\)
−0.00418217 + 0.999991i \(0.501331\pi\)
\(200\) −5.38675e6 + 949829.i −0.673343 + 0.118729i
\(201\) 9.10024e6 1.57621e7i 1.12064 1.94100i
\(202\) −1.75017e7 + 1.01046e7i −2.12338 + 1.22593i
\(203\) −7.01991e6 8.36600e6i −0.839157 1.00007i
\(204\) 8.05815e6 + 2.21396e7i 0.949172 + 2.60783i
\(205\) −692299. + 1.90208e6i −0.0803585 + 0.220783i
\(206\) 9.47769e6 + 7.95273e6i 1.08418 + 0.909734i
\(207\) 741701. 4.20640e6i 0.0836215 0.474241i
\(208\) 2.08029e6i 0.231171i
\(209\) 1.49310e7 + 6.56857e6i 1.63549 + 0.719502i
\(210\) −6.88894e6 −0.743865
\(211\) −4.51112e6 795432.i −0.480216 0.0846751i −0.0717002 0.997426i \(-0.522842\pi\)
−0.408516 + 0.912751i \(0.633954\pi\)
\(212\) 5.16253e6 6.15246e6i 0.541820 0.645715i
\(213\) 3.81103e6 + 1.38710e6i 0.394369 + 0.143539i
\(214\) 3.70141e6 1.34720e6i 0.377682 0.137465i
\(215\) 1.83843e6 1.54263e6i 0.184983 0.155219i
\(216\) 3.37501e6 + 5.84569e6i 0.334899 + 0.580062i
\(217\) 8.51636e6 + 4.91692e6i 0.833440 + 0.481187i
\(218\) 1.81874e6 + 1.03146e7i 0.175550 + 0.995594i
\(219\) −1.45267e7 + 2.56145e6i −1.38304 + 0.243868i
\(220\) 3.48286e6 6.03249e6i 0.327090 0.566537i
\(221\) 7.98734e6 4.61149e6i 0.739989 0.427233i
\(222\) 9.72603e6 + 1.15910e7i 0.888948 + 1.05941i
\(223\) −3.93288e6 1.08055e7i −0.354647 0.974385i −0.980857 0.194730i \(-0.937617\pi\)
0.626210 0.779655i \(-0.284605\pi\)
\(224\) 5.59240e6 1.53650e7i 0.497570 1.36706i
\(225\) 1.28645e7 + 1.07946e7i 1.12939 + 0.947671i
\(226\) −1.71016e6 + 9.69882e6i −0.148154 + 0.840221i
\(227\) 2.13859e7i 1.82831i 0.405364 + 0.914156i \(0.367145\pi\)
−0.405364 + 0.914156i \(0.632855\pi\)
\(228\) −1.64647e7 2.24518e7i −1.38915 1.89429i
\(229\) −8.84134e6 −0.736227 −0.368113 0.929781i \(-0.619996\pi\)
−0.368113 + 0.929781i \(0.619996\pi\)
\(230\) 1.43999e6 + 253909.i 0.118352 + 0.0208687i
\(231\) −2.68331e7 + 3.19785e7i −2.17688 + 2.59431i
\(232\) −9.45414e6 3.44103e6i −0.757109 0.275565i
\(233\) −2.25793e7 + 8.21821e6i −1.78502 + 0.649695i −0.785497 + 0.618865i \(0.787593\pi\)
−0.999525 + 0.0308293i \(0.990185\pi\)
\(234\) 1.75260e7 1.47060e7i 1.36784 1.14775i
\(235\) −1.48935e6 2.57964e6i −0.114761 0.198772i
\(236\) 1.07619e7 + 6.21340e6i 0.818754 + 0.472708i
\(237\) −4.09583e6 2.32286e7i −0.307678 1.74493i
\(238\) 2.90983e7 5.13081e6i 2.15842 0.380588i
\(239\) 5.88743e6 1.01973e7i 0.431253 0.746952i −0.565729 0.824592i \(-0.691405\pi\)
0.996982 + 0.0776395i \(0.0247383\pi\)
\(240\) 1.53431e6 885834.i 0.110989 0.0640794i
\(241\) 4.32733e6 + 5.15711e6i 0.309150 + 0.368430i 0.898140 0.439710i \(-0.144919\pi\)
−0.588990 + 0.808140i \(0.700474\pi\)
\(242\) −1.66844e7 4.58400e7i −1.17724 3.23444i
\(243\) −5.29070e6 + 1.45361e7i −0.368718 + 1.01305i
\(244\) −2.19921e7 1.84535e7i −1.51390 1.27031i
\(245\) −253103. + 1.43542e6i −0.0172107 + 0.0976070i
\(246\) 3.52304e7i 2.36653i
\(247\) −7.53624e6 + 7.87353e6i −0.500108 + 0.522491i
\(248\) 9.05932e6 0.593937
\(249\) −4.56446e6 804837.i −0.295659 0.0521327i
\(250\) −7.63702e6 + 9.10144e6i −0.488769 + 0.582492i
\(251\) −5.39632e6 1.96410e6i −0.341253 0.124206i 0.165708 0.986175i \(-0.447009\pi\)
−0.506961 + 0.861969i \(0.669231\pi\)
\(252\) 4.09285e7 1.48968e7i 2.55755 0.930873i
\(253\) 6.78755e6 5.69543e6i 0.419133 0.351694i
\(254\) −651586. 1.12858e6i −0.0397622 0.0688702i
\(255\) 6.80238e6 + 3.92736e6i 0.410242 + 0.236853i
\(256\) −1.25195e6 7.10018e6i −0.0746222 0.423204i
\(257\) 1.94463e7 3.42891e6i 1.14561 0.202002i 0.431553 0.902088i \(-0.357966\pi\)
0.714059 + 0.700085i \(0.246855\pi\)
\(258\) −2.08852e7 + 3.61743e7i −1.21613 + 2.10640i
\(259\) 9.76560e6 5.63817e6i 0.562082 0.324518i
\(260\) 2.99166e6 + 3.56532e6i 0.170213 + 0.202852i
\(261\) 1.05645e7 + 2.90258e7i 0.594195 + 1.63254i
\(262\) 752649. 2.06789e6i 0.0418493 0.114980i
\(263\) 1.75532e7 + 1.47289e7i 0.964916 + 0.809661i 0.981746 0.190197i \(-0.0609128\pi\)
−0.0168294 + 0.999858i \(0.505357\pi\)
\(264\) −6.67799e6 + 3.78728e7i −0.362940 + 2.05833i
\(265\) 2.67757e6i 0.143881i
\(266\) −3.13145e7 + 1.54453e7i −1.66380 + 0.820636i
\(267\) −1.49224e7 −0.783982
\(268\) −3.87947e7 6.84055e6i −2.01543 0.355375i
\(269\) 3.65283e6 4.35327e6i 0.187660 0.223645i −0.664009 0.747725i \(-0.731146\pi\)
0.851669 + 0.524080i \(0.175591\pi\)
\(270\) 6.66658e6 + 2.42644e6i 0.338697 + 0.123276i
\(271\) 2.25993e7 8.22549e6i 1.13550 0.413289i 0.295215 0.955431i \(-0.404609\pi\)
0.840287 + 0.542142i \(0.182387\pi\)
\(272\) −5.82103e6 + 4.88443e6i −0.289263 + 0.242721i
\(273\) −1.39461e7 2.41554e7i −0.685433 1.18720i
\(274\) 3.40704e7 + 1.96706e7i 1.65625 + 0.956236i
\(275\) 6.04935e6 + 3.43076e7i 0.290878 + 1.64965i
\(276\) −1.48937e7 + 2.62616e6i −0.708395 + 0.124909i
\(277\) −2.33038e6 + 4.03634e6i −0.109645 + 0.189910i −0.915626 0.402030i \(-0.868305\pi\)
0.805982 + 0.591941i \(0.201638\pi\)
\(278\) −1.22833e7 + 7.09178e6i −0.571717 + 0.330081i
\(279\) −1.78783e7 2.13065e7i −0.823214 0.981068i
\(280\) 1.61762e6 + 4.44437e6i 0.0736889 + 0.202459i
\(281\) 1.30661e7 3.58987e7i 0.588879 1.61793i −0.183679 0.982986i \(-0.558801\pi\)
0.772557 0.634945i \(-0.218977\pi\)
\(282\) 3.97152e7 + 3.33250e7i 1.77096 + 1.48601i
\(283\) −107070. + 607223.i −0.00472398 + 0.0267910i −0.987079 0.160237i \(-0.948774\pi\)
0.982355 + 0.187028i \(0.0598854\pi\)
\(284\) 8.77797e6i 0.383212i
\(285\) −9.01620e6 2.20560e6i −0.389483 0.0952779i
\(286\) 4.74601e7 2.02876
\(287\) −2.58564e7 4.55919e6i −1.09376 0.192860i
\(288\) −2.97269e7 + 3.54271e7i −1.24443 + 1.48306i
\(289\) −8.97586e6 3.26695e6i −0.371863 0.135347i
\(290\) −9.93651e6 + 3.61660e6i −0.407418 + 0.148288i
\(291\) −9.63076e6 + 8.08117e6i −0.390824 + 0.327941i
\(292\) 1.59633e7 + 2.76493e7i 0.641173 + 1.11054i
\(293\) −612042. 353362.i −0.0243320 0.0140481i 0.487785 0.872964i \(-0.337805\pi\)
−0.512117 + 0.858916i \(0.671138\pi\)
\(294\) −4.40528e6 2.49836e7i −0.173353 0.983133i
\(295\) 4.07997e6 719409.i 0.158925 0.0280227i
\(296\) 5.19410e6 8.99645e6i 0.200279 0.346893i
\(297\) 3.72305e7 2.14950e7i 1.42112 0.820482i
\(298\) −3.54119e7 4.22023e7i −1.33814 1.59473i
\(299\) 2.02484e6 + 5.56320e6i 0.0757490 + 0.208119i
\(300\) 2.03368e7 5.58748e7i 0.753213 2.06944i
\(301\) 2.38464e7 + 2.00095e7i 0.874427 + 0.733732i
\(302\) −2.73431e6 + 1.55070e7i −0.0992719 + 0.562999i
\(303\) 6.96852e7i 2.50503i
\(304\) 4.98832e6 7.46665e6i 0.177555 0.265770i
\(305\) −9.57103e6 −0.337333
\(306\) −8.23005e7 1.45118e7i −2.87235 0.506474i
\(307\) 1.70531e7 2.03231e7i 0.589370 0.702383i −0.386115 0.922451i \(-0.626183\pi\)
0.975485 + 0.220067i \(0.0706277\pi\)
\(308\) 8.49038e7 + 3.09025e7i 2.90586 + 1.05765i
\(309\) −4.00889e7 + 1.45912e7i −1.35878 + 0.494555i
\(310\) 7.29393e6 6.12033e6i 0.244837 0.205442i
\(311\) 1.35815e6 + 2.35239e6i 0.0451509 + 0.0782037i 0.887718 0.460388i \(-0.152290\pi\)
−0.842567 + 0.538592i \(0.818956\pi\)
\(312\) −2.22529e7 1.28477e7i −0.732693 0.423020i
\(313\) −6.92801e6 3.92907e7i −0.225931 1.28132i −0.860898 0.508778i \(-0.830097\pi\)
0.634967 0.772539i \(-0.281014\pi\)
\(314\) −2.12054e6 + 373908.i −0.0684947 + 0.0120775i
\(315\) 7.26034e6 1.25753e7i 0.232287 0.402333i
\(316\) −4.42120e7 + 2.55258e7i −1.40113 + 0.808944i
\(317\) 1.38368e7 + 1.64900e7i 0.434367 + 0.517658i 0.938177 0.346156i \(-0.112513\pi\)
−0.503810 + 0.863814i \(0.668069\pi\)
\(318\) 1.59393e7 + 4.37928e7i 0.495664 + 1.36182i
\(319\) −2.19155e7 + 6.02123e7i −0.675117 + 1.85487i
\(320\) −1.01222e7 8.49352e6i −0.308904 0.259202i
\(321\) −2.35853e6 + 1.33759e7i −0.0713060 + 0.404397i
\(322\) 1.89663e7i 0.568088i
\(323\) 3.97264e7 + 2.60110e6i 1.17889 + 0.0771878i
\(324\) 4.95851e6 0.145786
\(325\) −2.29229e7 4.04192e6i −0.667758 0.117744i
\(326\) 4.88951e6 5.82709e6i 0.141128 0.168190i
\(327\) −3.39372e7 1.23521e7i −0.970583 0.353263i
\(328\) −2.27287e7 + 8.27259e6i −0.644101 + 0.234434i
\(329\) 2.95976e7 2.48354e7i 0.831131 0.697402i
\(330\) 2.02096e7 + 3.50041e7i 0.562362 + 0.974039i
\(331\) 5.30841e7 + 3.06481e7i 1.46380 + 0.845123i 0.999184 0.0403911i \(-0.0128604\pi\)
0.464612 + 0.885514i \(0.346194\pi\)
\(332\) 1.74199e6 + 9.87932e6i 0.0476027 + 0.269968i
\(333\) −3.14090e7 + 5.53826e6i −0.850593 + 0.149982i
\(334\) 6.99881e6 1.21223e7i 0.187839 0.325346i
\(335\) −1.13736e7 + 6.56655e6i −0.302527 + 0.174664i
\(336\) 1.47715e7 + 1.76040e7i 0.389410 + 0.464081i
\(337\) −2.07413e6 5.69863e6i −0.0541935 0.148895i 0.909642 0.415393i \(-0.136356\pi\)
−0.963836 + 0.266497i \(0.914134\pi\)
\(338\) 9.88769e6 2.71662e7i 0.256062 0.703524i
\(339\) −2.60142e7 2.18285e7i −0.667747 0.560306i
\(340\) 2.95215e6 1.67425e7i 0.0751107 0.425974i
\(341\) 5.76977e7i 1.45511i
\(342\) 9.81685e7 1.07580e7i 2.45411 0.268937i
\(343\) 2.87806e7 0.713209
\(344\) 2.82418e7 + 4.97980e6i 0.693773 + 0.122331i
\(345\) −3.24090e6 + 3.86235e6i −0.0789238 + 0.0940577i
\(346\) −3.86967e7 1.40845e7i −0.934213 0.340026i
\(347\) −2.50751e7 + 9.12658e6i −0.600141 + 0.218434i −0.624184 0.781277i \(-0.714568\pi\)
0.0240427 + 0.999711i \(0.492346\pi\)
\(348\) 8.37809e7 7.03006e7i 1.98796 1.66810i
\(349\) −2.12430e7 3.67939e7i −0.499734 0.865565i 0.500266 0.865872i \(-0.333236\pi\)
−1.00000 0.000307205i \(0.999902\pi\)
\(350\) −6.45793e7 3.72849e7i −1.50622 0.869618i
\(351\) 4.98790e6 + 2.82878e7i 0.115344 + 0.654151i
\(352\) −9.44787e7 + 1.66591e7i −2.16624 + 0.381966i
\(353\) −7.37430e6 + 1.27727e7i −0.167647 + 0.290374i −0.937592 0.347737i \(-0.886950\pi\)
0.769945 + 0.638110i \(0.220284\pi\)
\(354\) −6.24470e7 + 3.60538e7i −1.40767 + 0.812720i
\(355\) −1.88108e6 2.24179e6i −0.0420458 0.0501083i
\(356\) 1.10466e7 + 3.03503e7i 0.244838 + 0.672687i
\(357\) −3.48464e7 + 9.57396e7i −0.765866 + 2.10420i
\(358\) 1.94343e7 + 1.63073e7i 0.423564 + 0.355413i
\(359\) 61496.4 348763.i 0.00132913 0.00753785i −0.984136 0.177416i \(-0.943226\pi\)
0.985465 + 0.169878i \(0.0543374\pi\)
\(360\) 1.33770e7i 0.286716i
\(361\) −4.59293e7 + 1.01888e7i −0.976267 + 0.216572i
\(362\) −7.77294e7 −1.63855
\(363\) 1.65653e8 + 2.92092e7i 3.46322 + 0.610660i
\(364\) −3.88050e7 + 4.62460e7i −0.804607 + 0.958894i
\(365\) 1.00020e7 + 3.64043e6i 0.205687 + 0.0748641i
\(366\) 1.56538e8 5.69752e7i 3.19284 1.16210i
\(367\) −7.19926e7 + 6.04090e7i −1.45643 + 1.22209i −0.528717 + 0.848798i \(0.677327\pi\)
−0.927714 + 0.373292i \(0.878229\pi\)
\(368\) −2.43884e6 4.22420e6i −0.0489373 0.0847619i
\(369\) 6.43106e7 + 3.71298e7i 1.27998 + 0.738998i
\(370\) −1.89593e6 1.07524e7i −0.0374298 0.212275i
\(371\) 3.42033e7 6.03097e6i 0.669802 0.118104i
\(372\) −4.92403e7 + 8.52867e7i −0.956515 + 1.65673i
\(373\) 1.73975e7 1.00444e7i 0.335243 0.193553i −0.322923 0.946425i \(-0.604666\pi\)
0.658166 + 0.752872i \(0.271332\pi\)
\(374\) −1.11434e8 1.32802e8i −2.13012 2.53858i
\(375\) −1.40119e7 3.84974e7i −0.265708 0.730025i
\(376\) 1.21738e7 3.34473e7i 0.229015 0.629213i
\(377\) −3.27969e7 2.75199e7i −0.612081 0.513597i
\(378\) −1.59795e7 + 9.06241e7i −0.295861 + 1.67791i
\(379\) 2.43235e7i 0.446795i 0.974727 + 0.223398i \(0.0717149\pi\)
−0.974727 + 0.223398i \(0.928285\pi\)
\(380\) 2.18850e6 + 1.99705e7i 0.0398838 + 0.363948i
\(381\) 4.49357e6 0.0812487
\(382\) 1.06542e8 + 1.87863e7i 1.91131 + 0.337016i
\(383\) −6.09014e7 + 7.25795e7i −1.08400 + 1.29187i −0.130184 + 0.991490i \(0.541557\pi\)
−0.953821 + 0.300376i \(0.902888\pi\)
\(384\) 1.11049e8 + 4.04187e7i 1.96120 + 0.713820i
\(385\) 2.83057e7 1.03024e7i 0.496011 0.180533i
\(386\) 7.17347e7 6.01925e7i 1.24729 1.04660i
\(387\) −4.40224e7 7.62491e7i −0.759523 1.31553i
\(388\) 2.35654e7 + 1.36055e7i 0.403441 + 0.232927i
\(389\) 5.96064e6 + 3.38044e7i 0.101261 + 0.574282i 0.992648 + 0.121038i \(0.0386222\pi\)
−0.891387 + 0.453244i \(0.850267\pi\)
\(390\) −2.65961e7 + 4.68962e6i −0.448358 + 0.0790576i
\(391\) 1.08126e7 1.87280e7i 0.180885 0.313301i
\(392\) −1.50836e7 + 8.70854e6i −0.250408 + 0.144573i
\(393\) 4.87751e6 + 5.81279e6i 0.0803564 + 0.0957650i
\(394\) −4.41634e7 1.21338e8i −0.722061 1.98385i
\(395\) −5.82114e6 + 1.59934e7i −0.0944532 + 0.259508i
\(396\) −1.95763e8 1.64264e8i −3.15242 2.64520i
\(397\) 1.27952e7 7.25649e7i 0.204491 1.15973i −0.693748 0.720218i \(-0.744042\pi\)
0.898239 0.439507i \(-0.144847\pi\)
\(398\) 1.94794e8i 3.08978i
\(399\) 7.86625e6 1.20141e8i 0.123837 1.89135i
\(400\) 1.91775e7 0.299649
\(401\) 7.10664e7 + 1.25309e7i 1.10213 + 0.194335i 0.694981 0.719029i \(-0.255413\pi\)
0.407146 + 0.913363i \(0.366524\pi\)
\(402\) 1.46930e8 1.75104e8i 2.26168 2.69537i
\(403\) 3.62263e7 + 1.31853e7i 0.553489 + 0.201453i
\(404\) −1.41731e8 + 5.15858e7i −2.14941 + 0.782322i
\(405\) 1.26634e6 1.06259e6i 0.0190628 0.0159956i
\(406\) −6.85794e7 1.18783e8i −1.02474 1.77491i
\(407\) −5.72973e7 3.30806e7i −0.849867 0.490671i
\(408\) 1.62985e7 + 9.24335e7i 0.239976 + 1.36097i
\(409\) 4.61385e7 8.13547e6i 0.674363 0.118908i 0.174029 0.984741i \(-0.444322\pi\)
0.500334 + 0.865832i \(0.333210\pi\)
\(410\) −1.27108e7 + 2.20157e7i −0.184425 + 0.319434i
\(411\) −1.17481e8 + 6.78276e7i −1.69216 + 0.976970i
\(412\) 5.93531e7 + 7.07343e7i 0.848696 + 1.01144i
\(413\) 1.83795e7 + 5.04971e7i 0.260905 + 0.716831i
\(414\) 1.83472e7 5.04085e7i 0.258565 0.710400i
\(415\) 2.56198e6 + 2.14976e6i 0.0358453 + 0.0300778i
\(416\) 1.11309e7 6.31267e7i 0.154615 0.876866i
\(417\) 4.89074e7i 0.674476i
\(418\) 1.70346e8 + 1.13805e8i 2.33240 + 1.55823i
\(419\) −2.99478e7 −0.407121 −0.203560 0.979062i \(-0.565251\pi\)
−0.203560 + 0.979062i \(0.565251\pi\)
\(420\) −5.06327e7 8.92791e6i −0.683413 0.120504i
\(421\) −2.30499e7 + 2.74698e7i −0.308904 + 0.368137i −0.898053 0.439887i \(-0.855019\pi\)
0.589149 + 0.808024i \(0.299463\pi\)
\(422\) −5.40603e7 1.96763e7i −0.719351 0.261822i
\(423\) −1.02689e8 + 3.73757e7i −1.35676 + 0.493820i
\(424\) 2.45100e7 2.05663e7i 0.321548 0.269811i
\(425\) 4.25119e7 + 7.36328e7i 0.553788 + 0.959190i
\(426\) 4.41109e7 + 2.54675e7i 0.570581 + 0.329425i
\(427\) −2.15578e7 1.22260e8i −0.276899 1.57037i
\(428\) 2.89508e7 5.10481e6i 0.369257 0.0651100i
\(429\) −8.18254e7 + 1.41726e8i −1.03637 + 1.79505i
\(430\) 2.61026e7 1.50704e7i 0.328306 0.189547i
\(431\) −4.52785e7 5.39609e7i −0.565536 0.673980i 0.405172 0.914240i \(-0.367212\pi\)
−0.970708 + 0.240260i \(0.922767\pi\)
\(432\) −8.09421e6 2.22386e7i −0.100398 0.275840i
\(433\) −1.07215e7 + 2.94570e7i −0.132066 + 0.362848i −0.988046 0.154161i \(-0.950732\pi\)
0.855980 + 0.517009i \(0.172955\pi\)
\(434\) 9.46100e7 + 7.93872e7i 1.15736 + 0.971138i
\(435\) 6.33152e6 3.59078e7i 0.0769202 0.436236i
\(436\) 7.81678e7i 0.943123i
\(437\) −6.07237e6 + 2.48230e7i −0.0727636 + 0.297448i
\(438\) −1.85258e8 −2.20472
\(439\) −2.41877e7 4.26495e6i −0.285892 0.0504104i 0.0288633 0.999583i \(-0.490811\pi\)
−0.314755 + 0.949173i \(0.601922\pi\)
\(440\) 1.78372e7 2.12576e7i 0.209397 0.249549i
\(441\) 5.02486e7 + 1.82890e7i 0.585879 + 0.213243i
\(442\) 1.08847e8 3.96171e7i 1.26052 0.458792i
\(443\) 2.87997e7 2.41658e7i 0.331266 0.277965i −0.461950 0.886906i \(-0.652850\pi\)
0.793215 + 0.608941i \(0.208405\pi\)
\(444\) 5.64632e7 + 9.77971e7i 0.645084 + 1.11732i
\(445\) 9.32513e6 + 5.38386e6i 0.105822 + 0.0610962i
\(446\) −2.50778e7 1.42223e8i −0.282673 1.60312i
\(447\) 1.87078e8 3.29869e7i 2.09460 0.369334i
\(448\) 8.56970e7 1.48432e8i 0.953085 1.65079i
\(449\) 1.44172e7 8.32378e6i 0.159273 0.0919563i −0.418245 0.908334i \(-0.637355\pi\)
0.577518 + 0.816378i \(0.304021\pi\)
\(450\) 1.35570e8 + 1.61566e8i 1.48774 + 1.77302i
\(451\) 5.26871e7 + 1.44757e8i 0.574348 + 1.57801i
\(452\) −2.51389e7 + 6.90686e7i −0.272227 + 0.747937i
\(453\) −4.15930e7 3.49007e7i −0.447431 0.375439i
\(454\) −4.66399e7 + 2.64508e8i −0.498414 + 2.82664i
\(455\) 2.01265e7i 0.213665i
\(456\) −4.90634e7 9.94736e7i −0.517443 1.04909i
\(457\) 5.84051e7 0.611931 0.305966 0.952043i \(-0.401021\pi\)
0.305966 + 0.952043i \(0.401021\pi\)
\(458\) −1.09353e8 1.92818e7i −1.13824 0.200702i
\(459\) 6.74432e7 8.03757e7i 0.697429 0.831164i
\(460\) 1.02547e7 + 3.73239e6i 0.105353 + 0.0383454i
\(461\) −1.23623e8 + 4.49952e7i −1.26182 + 0.459265i −0.884379 0.466769i \(-0.845418\pi\)
−0.377441 + 0.926034i \(0.623196\pi\)
\(462\) −4.01622e8 + 3.37001e8i −4.07278 + 3.41747i
\(463\) 5.50093e7 + 9.52790e7i 0.554234 + 0.959962i 0.997963 + 0.0638006i \(0.0203222\pi\)
−0.443728 + 0.896161i \(0.646344\pi\)
\(464\) 3.05481e7 + 1.76370e7i 0.305795 + 0.176551i
\(465\) 5.70121e6 + 3.23332e7i 0.0567033 + 0.321580i
\(466\) −2.97192e8 + 5.24029e7i −2.93683 + 0.517842i
\(467\) 6.09634e7 1.05592e8i 0.598575 1.03676i −0.394457 0.918914i \(-0.629067\pi\)
0.993032 0.117847i \(-0.0375993\pi\)
\(468\) 1.47872e8 8.53740e7i 1.44261 0.832890i
\(469\) −1.09499e8 1.30496e8i −1.06143 1.26496i
\(470\) −1.27950e7 3.51539e7i −0.123238 0.338594i
\(471\) 2.53943e6 6.97701e6i 0.0243037 0.0667739i
\(472\) 3.79234e7 + 3.18215e7i 0.360646 + 0.302618i
\(473\) 3.17157e7 1.79869e8i 0.299703 1.69970i
\(474\) 2.96232e8i 2.78161i
\(475\) −7.25836e7 6.94742e7i −0.677264 0.648251i
\(476\) 2.20518e8 2.04467
\(477\) −9.67393e7 1.70578e7i −0.891349 0.157169i
\(478\) 9.50568e7 1.13284e8i 0.870361 1.03726i
\(479\) 9.84914e7 + 3.58479e7i 0.896172 + 0.326180i 0.748718 0.662889i \(-0.230670\pi\)
0.147455 + 0.989069i \(0.452892\pi\)
\(480\) 5.12987e7 1.86712e7i 0.463856 0.168830i
\(481\) 3.38639e7 2.84152e7i 0.304300 0.255338i
\(482\) 4.22749e7 + 7.32222e7i 0.377521 + 0.653885i
\(483\) −5.66375e7 3.26997e7i −0.502646 0.290203i
\(484\) −6.32204e7 3.58540e8i −0.557598 3.16229i
\(485\) 8.93393e6 1.57529e6i 0.0783100 0.0138082i
\(486\) −9.71385e7 + 1.68249e8i −0.846219 + 1.46569i
\(487\) 1.40436e8 8.10810e7i 1.21589 0.701992i 0.251850 0.967766i \(-0.418961\pi\)
0.964035 + 0.265775i \(0.0856277\pi\)
\(488\) −7.35147e7 8.76114e7i −0.632579 0.753878i
\(489\) 8.97097e6 + 2.46475e7i 0.0767208 + 0.210789i
\(490\) −6.26093e6 + 1.72018e7i −0.0532171 + 0.146213i
\(491\) 8.98250e7 + 7.53721e7i 0.758844 + 0.636746i 0.937826 0.347107i \(-0.112836\pi\)
−0.178982 + 0.983852i \(0.557280\pi\)
\(492\) 4.56578e7 2.58938e8i 0.383371 2.17421i
\(493\) 1.56387e8i 1.30515i
\(494\) −1.10382e8 + 8.09468e7i −0.915623 + 0.671458i
\(495\) −8.51967e7 −0.702437
\(496\) −3.12798e7 5.51548e6i −0.256342 0.0452000i
\(497\) 2.43996e7 2.90784e7i 0.198753 0.236865i
\(498\) −5.46995e7 1.99090e7i −0.442889 0.161199i
\(499\) 2.51600e7 9.15747e6i 0.202492 0.0737011i −0.238783 0.971073i \(-0.576748\pi\)
0.441275 + 0.897372i \(0.354526\pi\)
\(500\) −6.79263e7 + 5.69969e7i −0.543410 + 0.455975i
\(501\) 2.41331e7 + 4.17998e7i 0.191911 + 0.332400i
\(502\) −6.24601e7 3.60613e7i −0.493732 0.285056i
\(503\) 4.24912e6 + 2.40980e7i 0.0333884 + 0.189355i 0.996940 0.0781664i \(-0.0249065\pi\)
−0.963552 + 0.267521i \(0.913795\pi\)
\(504\) 1.70878e8 3.01304e7i 1.33473 0.235350i
\(505\) −2.51417e7 + 4.35467e7i −0.195218 + 0.338128i
\(506\) 9.63717e7 5.56402e7i 0.743872 0.429475i
\(507\) 6.40768e7 + 7.63637e7i 0.491673 + 0.585953i
\(508\) −3.32645e6 9.13935e6i −0.0253741 0.0697147i
\(509\) −3.92963e7 + 1.07966e8i −0.297988 + 0.818715i 0.696848 + 0.717219i \(0.254585\pi\)
−0.994836 + 0.101496i \(0.967637\pi\)
\(510\) 7.55691e7 + 6.34100e7i 0.569683 + 0.478021i
\(511\) −2.39743e7 + 1.35965e8i −0.179673 + 1.01898i
\(512\) 8.40992e7i 0.626588i
\(513\) −4.99286e7 + 1.13492e8i −0.369826 + 0.840648i
\(514\) 2.47996e8 1.82623
\(515\) 3.03162e7 + 5.34556e6i 0.221949 + 0.0391355i
\(516\) −2.00384e8 + 2.38809e8i −1.45853 + 1.73821i
\(517\) −2.13022e8 7.75337e7i −1.54153 0.561072i
\(518\) 1.33080e8 4.84373e7i 0.957468 0.348490i
\(519\) 1.08776e8 9.12737e7i 0.778090 0.652895i
\(520\) 9.27064e6 + 1.60572e7i 0.0659325 + 0.114198i
\(521\) −1.22574e8 7.07683e7i −0.866735 0.500410i −0.000472936 1.00000i \(-0.500151\pi\)
−0.866262 + 0.499590i \(0.833484\pi\)
\(522\) 6.73641e7 + 3.82041e8i 0.473606 + 2.68595i
\(523\) −2.10469e8 + 3.71113e7i −1.47124 + 0.259419i −0.851071 0.525051i \(-0.824046\pi\)
−0.620167 + 0.784470i \(0.712935\pi\)
\(524\) 8.21180e6 1.42232e7i 0.0570748 0.0988564i
\(525\) 2.22681e8 1.28565e8i 1.53888 0.888473i
\(526\) 1.84982e8 + 2.20453e8i 1.27108 + 1.51481i
\(527\) −4.81629e7 1.32327e8i −0.329064 0.904097i
\(528\) 4.61153e7 1.26701e8i 0.313288 0.860750i
\(529\) −1.02768e8 8.62329e7i −0.694213 0.582514i
\(530\) 5.83944e6 3.31171e7i 0.0392233 0.222446i
\(531\) 1.51990e8i 1.01515i
\(532\) −2.50174e8 + 7.29375e7i −1.66153 + 0.484414i
\(533\) −1.02928e8 −0.679752
\(534\) −1.84566e8 3.25439e7i −1.21207 0.213720i
\(535\) 6.29975e6 7.50775e6i 0.0411398 0.0490285i
\(536\) −1.47469e8 5.36744e7i −0.957650 0.348556i
\(537\) −8.22034e7 + 2.99196e7i −0.530844 + 0.193211i
\(538\) 5.46733e7 4.58763e7i 0.351098 0.294606i
\(539\) 5.54637e7 + 9.60659e7i 0.354195 + 0.613484i
\(540\) 4.58538e7 + 2.64737e7i 0.291202 + 0.168125i
\(541\) 3.58291e7 + 2.03197e8i 0.226279 + 1.28329i 0.860225 + 0.509914i \(0.170323\pi\)
−0.633946 + 0.773377i \(0.718566\pi\)
\(542\) 2.97455e8 5.24493e7i 1.86820 0.329414i
\(543\) 1.34012e8 2.32116e8i 0.837039 1.44979i
\(544\) −2.02775e8 + 1.17072e8i −1.25956 + 0.727207i
\(545\) 1.67510e7 + 1.99631e7i 0.103479 + 0.123322i
\(546\) −1.19810e8 3.29176e8i −0.736065 2.02232i
\(547\) 9.59702e7 2.63676e8i 0.586373 1.61105i −0.190707 0.981647i \(-0.561078\pi\)
0.777081 0.629401i \(-0.216700\pi\)
\(548\) 2.24920e8 + 1.88730e8i 1.36674 + 1.14683i
\(549\) −6.09733e7 + 3.45797e8i −0.368487 + 2.08979i
\(550\) 4.37520e8i 2.62972i
\(551\) −5.17261e7 1.77419e8i −0.309211 1.06059i
\(552\) −6.02484e7 −0.358202
\(553\) −2.17412e8 3.83356e7i −1.28561 0.226687i
\(554\) −3.76257e7 + 4.48406e7i −0.221287 + 0.263719i
\(555\) 3.53776e7 + 1.28764e7i 0.206942 + 0.0753208i
\(556\) −9.94715e7 + 3.62047e7i −0.578728 + 0.210640i
\(557\) 2.01808e8 1.69337e8i 1.16781 0.979909i 0.167828 0.985816i \(-0.446325\pi\)
0.999983 + 0.00590739i \(0.00188039\pi\)
\(558\) −1.74658e8 3.02516e8i −1.00528 1.74119i
\(559\) 1.05685e8 + 6.10175e7i 0.605033 + 0.349316i
\(560\) −2.87947e6 1.63303e7i −0.0163964 0.0929886i
\(561\) 5.88698e8 1.03803e8i 3.33430 0.587926i
\(562\) 2.39896e8 4.15512e8i 1.35149 2.34086i
\(563\) −3.93856e7 + 2.27393e7i −0.220705 + 0.127424i −0.606277 0.795254i \(-0.707338\pi\)
0.385572 + 0.922678i \(0.374004\pi\)
\(564\) 2.48713e8 + 2.96404e8i 1.38631 + 1.65214i
\(565\) 8.38095e6 + 2.30265e7i 0.0464673 + 0.127668i
\(566\) −2.64855e6 + 7.27683e6i −0.0146069 + 0.0401322i
\(567\) 1.64258e7 + 1.37829e7i 0.0901111 + 0.0756122i
\(568\) 6.07237e6 3.44381e7i 0.0331370 0.187929i
\(569\) 1.29266e8i 0.701692i −0.936433 0.350846i \(-0.885894\pi\)
0.936433 0.350846i \(-0.114106\pi\)
\(570\) −1.06705e8 4.69428e7i −0.576184 0.253480i
\(571\) −2.81119e8 −1.51002 −0.755008 0.655716i \(-0.772367\pi\)
−0.755008 + 0.655716i \(0.772367\pi\)
\(572\) 3.48825e8 + 6.15073e7i 1.86389 + 0.328654i
\(573\) −2.39788e8 + 2.85768e8i −1.27457 + 1.51897i
\(574\) −3.09858e8 1.12779e8i −1.63843 0.596339i
\(575\) −5.12854e7 + 1.86664e7i −0.269768 + 0.0981875i
\(576\) −3.71351e8 + 3.11600e8i −1.94320 + 1.63054i
\(577\) −5.35165e7 9.26933e7i −0.278587 0.482526i 0.692447 0.721469i \(-0.256533\pi\)
−0.971034 + 0.238942i \(0.923199\pi\)
\(578\) −1.03892e8 5.99819e7i −0.538018 0.310625i
\(579\) 5.60706e7 + 3.17992e8i 0.288868 + 1.63825i
\(580\) −7.77190e7 + 1.37040e7i −0.398330 + 0.0702364i
\(581\) −2.16904e7 + 3.75689e7i −0.110596 + 0.191558i
\(582\) −1.36740e8 + 7.89471e7i −0.693630 + 0.400468i
\(583\) −1.30985e8 1.56101e8i −0.661019 0.787772i
\(584\) 4.35011e7 + 1.19518e8i 0.218404 + 0.600061i
\(585\) 1.94695e7 5.34919e7i 0.0972492 0.267190i
\(586\) −6.79930e6 5.70529e6i −0.0337887 0.0283521i
\(587\) −1.29783e7 + 7.36034e7i −0.0641657 + 0.363901i 0.935771 + 0.352609i \(0.114706\pi\)
−0.999936 + 0.0112921i \(0.996406\pi\)
\(588\) 1.89335e8i 0.931319i
\(589\) 9.84079e7 + 1.34192e8i 0.481597 + 0.656722i
\(590\) 5.20314e7 0.253343
\(591\) 4.38482e8 + 7.73163e7i 2.12417 + 0.374549i
\(592\) −2.34113e7 + 2.79005e7i −0.112839 + 0.134477i
\(593\) 6.49271e7 + 2.36315e7i 0.311360 + 0.113326i 0.492974 0.870044i \(-0.335910\pi\)
−0.181614 + 0.983370i \(0.558132\pi\)
\(594\) 5.07357e8 1.84663e8i 2.42078 0.881090i
\(595\) 5.63176e7 4.72561e7i 0.267358 0.224340i
\(596\) −2.05579e8 3.56074e8i −0.971047 1.68190i
\(597\) −5.81697e8 3.35843e8i −2.73384 1.57838i
\(598\) 1.29113e7 + 7.32234e7i 0.0603761 + 0.342410i
\(599\) −2.84852e8 + 5.02272e7i −1.32538 + 0.233700i −0.791140 0.611635i \(-0.790512\pi\)
−0.534237 + 0.845335i \(0.679401\pi\)
\(600\) 1.18439e8 2.05142e8i 0.548328 0.949733i
\(601\) −1.51837e8 + 8.76629e7i −0.699444 + 0.403824i −0.807140 0.590360i \(-0.798986\pi\)
0.107696 + 0.994184i \(0.465653\pi\)
\(602\) 2.51302e8 + 2.99490e8i 1.15188 + 1.37276i
\(603\) 1.64789e8 + 4.52755e8i 0.751584 + 2.06496i
\(604\) −4.01935e7 + 1.10431e8i −0.182409 + 0.501163i
\(605\) −9.29795e7 7.80191e7i −0.419876 0.352318i
\(606\) 1.51974e8 8.61889e8i 0.682893 3.87288i
\(607\) 2.74595e8i 1.22780i 0.789386 + 0.613898i \(0.210399\pi\)
−0.789386 + 0.613898i \(0.789601\pi\)
\(608\) 1.91323e8 1.99886e8i 0.851250 0.889348i
\(609\) 4.72948e8 2.09393
\(610\) −1.18378e8 2.08732e7i −0.521531 0.0919601i
\(611\) 9.73611e7 1.16030e8i 0.426837 0.508684i
\(612\) −5.86090e8 2.13319e8i −2.55688 0.930627i
\(613\) 2.01466e8 7.33276e7i 0.874622 0.318336i 0.134584 0.990902i \(-0.457030\pi\)
0.740037 + 0.672566i \(0.234808\pi\)
\(614\) 2.55240e8 2.14172e8i 1.10267 0.925247i
\(615\) −4.38290e7 7.59140e7i −0.188424 0.326360i
\(616\) 3.11721e8 + 1.79972e8i 1.33360 + 0.769952i
\(617\) 3.23804e7 + 1.83638e8i 0.137856 + 0.781822i 0.972828 + 0.231529i \(0.0743728\pi\)
−0.834972 + 0.550293i \(0.814516\pi\)
\(618\) −5.27654e8 + 9.30397e7i −2.23555 + 0.394187i
\(619\) 8.94663e7 1.54960e8i 0.377214 0.653354i −0.613442 0.789740i \(-0.710215\pi\)
0.990656 + 0.136386i \(0.0435488\pi\)
\(620\) 6.15411e7 3.55308e7i 0.258220 0.149084i
\(621\) 4.32918e7 + 5.15931e7i 0.180772 + 0.215435i
\(622\) 1.16678e7 + 3.20570e7i 0.0484862 + 0.133215i
\(623\) −4.77696e7 + 1.31246e8i −0.197555 + 0.542777i
\(624\) 6.90123e7 + 5.79082e7i 0.284036 + 0.238334i
\(625\) 3.46118e7 1.96293e8i 0.141770 0.804016i
\(626\) 5.01069e8i 2.04256i
\(627\) −6.33536e8 + 3.12479e8i −2.57021 + 1.26770i
\(628\) −1.60702e7 −0.0648848
\(629\) −1.59022e8 2.80399e7i −0.639007 0.112674i
\(630\) 1.17223e8 1.39701e8i 0.468805 0.558701i
\(631\) 9.55202e7 + 3.47665e7i 0.380195 + 0.138380i 0.525046 0.851074i \(-0.324048\pi\)
−0.144851 + 0.989454i \(0.546270\pi\)
\(632\) −1.91113e8 + 6.95594e7i −0.757075 + 0.275553i
\(633\) 1.51962e8 1.27512e8i 0.599135 0.502734i
\(634\) 1.35175e8 + 2.34130e8i 0.530431 + 0.918733i
\(635\) −2.80806e6 1.62124e6i −0.0109669 0.00633177i
\(636\) 6.03969e7 + 3.42528e8i 0.234770 + 1.33145i
\(637\) −7.29910e7 + 1.28703e7i −0.282391 + 0.0497932i
\(638\) −4.02373e8 + 6.96931e8i −1.54941 + 2.68366i
\(639\) −9.29783e7 + 5.36810e7i −0.356352 + 0.205740i
\(640\) −5.48129e7 6.53234e7i −0.209094 0.249189i
\(641\) −1.76199e7 4.84102e7i −0.0669004 0.183807i 0.901737 0.432284i \(-0.142292\pi\)
−0.968638 + 0.248477i \(0.920070\pi\)
\(642\) −5.83422e7 + 1.60294e8i −0.220484 + 0.605775i
\(643\) −4.60546e6 3.86444e6i −0.0173237 0.0145363i 0.634085 0.773264i \(-0.281377\pi\)
−0.651408 + 0.758727i \(0.725822\pi\)
\(644\) −2.45800e7 + 1.39400e8i −0.0920288 + 0.521921i
\(645\) 1.03931e8i 0.387315i
\(646\) 4.85676e8 + 1.18809e8i 1.80156 + 0.440710i
\(647\) 2.69171e8 0.993836 0.496918 0.867797i \(-0.334465\pi\)
0.496918 + 0.867797i \(0.334465\pi\)
\(648\) 1.94535e7 + 3.43017e6i 0.0714944 + 0.0126064i
\(649\) 2.02668e8 2.41530e8i 0.741396 0.883561i
\(650\) −2.74703e8 9.99837e7i −1.00028 0.364073i
\(651\) −4.00183e8 + 1.45655e8i −1.45049 + 0.527936i
\(652\) 4.34890e7 3.64916e7i 0.156905 0.131659i
\(653\) 2.53064e8 + 4.38319e8i 0.908846 + 1.57417i 0.815670 + 0.578518i \(0.196369\pi\)
0.0931761 + 0.995650i \(0.470298\pi\)
\(654\) −3.92808e8 2.26788e8i −1.40426 0.810749i
\(655\) −950791. 5.39220e6i −0.00338346 0.0191886i
\(656\) 8.35138e7 1.47257e7i 0.295833 0.0521634i
\(657\) 1.95245e8 3.38175e8i 0.688470 1.19246i
\(658\) 4.20236e8 2.42623e8i 1.47508 0.851638i
\(659\) −2.26652e8 2.70114e8i −0.791961 0.943823i 0.207446 0.978246i \(-0.433485\pi\)
−0.999407 + 0.0344238i \(0.989040\pi\)
\(660\) 1.03173e8 + 2.83466e8i 0.358868 + 0.985982i
\(661\) −3.20806e6 + 8.81408e6i −0.0111081 + 0.0305192i −0.945123 0.326715i \(-0.894058\pi\)
0.934015 + 0.357235i \(0.116280\pi\)
\(662\) 5.89722e8 + 4.94836e8i 2.03270 + 1.70564i
\(663\) −6.93571e7 + 3.93344e8i −0.237985 + 1.34968i
\(664\) 3.99641e7i 0.136510i
\(665\) −4.82613e7 + 7.22387e7i −0.164110 + 0.245643i
\(666\) −4.00555e8 −1.35594
\(667\) −9.88600e7 1.74317e7i −0.333153 0.0587438i
\(668\) 6.71505e7 8.00269e7i 0.225279 0.268477i
\(669\) 4.67945e8 + 1.70318e8i 1.56285 + 0.568829i
\(670\) −1.54993e8 + 5.64130e7i −0.515334 + 0.187566i
\(671\) −5.57987e8 + 4.68206e8i −1.84695 + 1.54978i
\(672\) 3.54051e8 + 6.13235e8i 1.16670 + 2.02078i
\(673\) 4.22378e8 + 2.43860e8i 1.38566 + 0.800010i 0.992822 0.119599i \(-0.0381609\pi\)
0.392835 + 0.919609i \(0.371494\pi\)
\(674\) −1.32256e7 7.50060e7i −0.0431952 0.244972i
\(675\) −2.60776e8 + 4.59819e7i −0.847924 + 0.149512i
\(676\) 1.07880e8 1.86854e8i 0.349221 0.604869i
\(677\) −2.49045e8 + 1.43786e8i −0.802623 + 0.463394i −0.844387 0.535733i \(-0.820035\pi\)
0.0417648 + 0.999127i \(0.486702\pi\)
\(678\) −2.74147e8 3.26716e8i −0.879620 1.04829i
\(679\) 4.02456e7 + 1.10574e8i 0.128561 + 0.353218i
\(680\) 2.31640e7 6.36427e7i 0.0736695 0.202405i
\(681\) −7.09465e8 5.95312e8i −2.24641 1.88496i
\(682\) 1.25831e8 7.13625e8i 0.396676 2.24966i
\(683\) 2.54608e8i 0.799116i −0.916708 0.399558i \(-0.869164\pi\)
0.916708 0.399558i \(-0.130836\pi\)
\(684\) 7.35467e8 + 4.81549e7i 2.29824 + 0.150478i
\(685\) 9.78861e7 0.304543
\(686\) 3.55968e8 + 6.27667e7i 1.10265 + 0.194427i
\(687\) 2.46113e8 2.93306e8i 0.759040 0.904589i
\(688\) −9.44811e7 3.43883e7i −0.290121 0.105595i
\(689\) 1.27943e8 4.65676e7i 0.391165 0.142372i
\(690\) −4.85078e7 + 4.07029e7i −0.147660 + 0.123902i
\(691\) 4.87721e7 + 8.44758e7i 0.147821 + 0.256034i 0.930422 0.366490i \(-0.119441\pi\)
−0.782601 + 0.622524i \(0.786107\pi\)
\(692\) −2.66162e8 1.53669e8i −0.803208 0.463733i
\(693\) −1.91897e8 1.08830e9i −0.576592 3.27002i
\(694\) −3.30041e8 + 5.81951e7i −0.987390 + 0.174104i
\(695\) −1.76453e7 + 3.05626e7i −0.0525624 + 0.0910407i
\(696\) 3.77326e8 2.17849e8i 1.11915 0.646142i
\(697\) 2.41670e8 + 2.88011e8i 0.713714 + 0.850571i
\(698\) −1.82497e8 5.01407e8i −0.536649 1.47443i
\(699\) 3.55899e8 9.77824e8i 1.04207 2.86305i
\(700\) −4.26328e8 3.57732e8i −1.24294 1.04295i
\(701\) 2.22515e7 1.26195e8i 0.0645960 0.366342i −0.935325 0.353789i \(-0.884893\pi\)
0.999921 0.0125530i \(-0.00399584\pi\)
\(702\) 3.60751e8i 1.04279i
\(703\) 1.89683e8 2.07867e7i 0.545961 0.0598300i
\(704\) −1.00561e9 −2.88213
\(705\) 1.27036e8 + 2.24000e7i 0.362544 + 0.0639263i
\(706\) −1.19063e8 + 1.41894e8i −0.338348 + 0.403228i
\(707\) −6.12895e8 2.23076e8i −1.73431 0.631239i
\(708\) −5.05701e8 + 1.84060e8i −1.42493 + 0.518633i
\(709\) 3.73499e8 3.13403e8i 1.04797 0.879355i 0.0550951 0.998481i \(-0.482454\pi\)
0.992879 + 0.119126i \(0.0380094\pi\)
\(710\) −1.83768e7 3.18296e7i −0.0513446 0.0889315i
\(711\) 5.40751e8 + 3.12203e8i 1.50449 + 0.868616i
\(712\) 2.23430e7 + 1.26714e8i 0.0619016 + 0.351062i
\(713\) 8.90184e7 1.56963e7i 0.245590 0.0433042i
\(714\) −6.39787e8 + 1.10814e9i −1.75768 + 3.04440i
\(715\) 1.02267e8 5.90436e7i 0.279779 0.161531i
\(716\) 1.21705e8 + 1.45043e8i 0.331566 + 0.395145i
\(717\) 1.74404e8 + 4.79172e8i 0.473151 + 1.29997i
\(718\) 1.52122e6 4.17951e6i 0.00410977 0.0112915i
\(719\) −2.47375e8 2.07572e8i −0.665531 0.558447i 0.246208 0.969217i \(-0.420815\pi\)
−0.911739 + 0.410770i \(0.865260\pi\)
\(720\) −8.14418e6 + 4.61879e7i −0.0218197 + 0.123746i
\(721\) 3.99299e8i 1.06535i
\(722\) −5.90290e8 + 2.58529e7i −1.56839 + 0.0686908i
\(723\) −2.91542e8 −0.771413
\(724\) −5.71300e8 1.00736e8i −1.50539 0.265441i
\(725\) 2.53697e8 3.02345e8i 0.665735 0.793393i
\(726\) 1.98516e9 + 7.22537e8i 5.18782 + 1.88821i
\(727\) 4.42809e8 1.61169e8i 1.15243 0.419449i 0.306041 0.952018i \(-0.400996\pi\)
0.846387 + 0.532569i \(0.178773\pi\)
\(728\) −1.84234e8 + 1.54590e8i −0.477502 + 0.400671i
\(729\) −3.15669e8 5.46754e8i −0.814796 1.41127i
\(730\) 1.15769e8 + 6.68391e7i 0.297593 + 0.171815i
\(731\) −7.74065e7 4.38994e8i −0.198164 1.12384i
\(732\) 1.22437e9 2.15890e8i 3.12162 0.550426i
\(733\) 1.73582e8 3.00653e8i 0.440750 0.763402i −0.556995 0.830516i \(-0.688046\pi\)
0.997745 + 0.0671138i \(0.0213791\pi\)
\(734\) −1.02217e9 + 5.90152e8i −2.58486 + 1.49237i
\(735\) −4.05737e7 4.83538e7i −0.102184 0.121778i
\(736\) −5.14048e7 1.41234e8i −0.128935 0.354246i
\(737\) −3.41846e8 + 9.39213e8i −0.853941 + 2.34618i
\(738\) 7.14440e8 + 5.99486e8i 1.77745 + 1.49146i
\(739\) −1.08497e8 + 6.15314e8i −0.268833 + 1.52463i 0.489061 + 0.872250i \(0.337340\pi\)
−0.757894 + 0.652378i \(0.773771\pi\)
\(740\) 8.14854e7i 0.201087i
\(741\) −5.14161e7 4.69183e8i −0.126370 1.15315i
\(742\) 4.36191e8 1.06774
\(743\) 1.99853e8 + 3.52395e7i 0.487241 + 0.0859138i 0.411872 0.911242i \(-0.364875\pi\)
0.0753697 + 0.997156i \(0.475986\pi\)
\(744\) −2.52181e8 + 3.00538e8i −0.612341 + 0.729760i
\(745\) −1.28808e8 4.68822e7i −0.311511 0.113381i
\(746\) 2.37083e8 8.62913e7i 0.571064 0.207850i
\(747\) 9.39911e7 7.88679e7i 0.225489 0.189207i
\(748\) −6.46918e8 1.12049e9i −1.54577 2.67735i
\(749\) 1.10094e8 + 6.35625e7i 0.262009 + 0.151271i
\(750\) −8.93462e7 5.06707e8i −0.211783 1.20108i
\(751\) 5.20631e8 9.18012e7i 1.22916 0.216735i 0.478898 0.877871i \(-0.341036\pi\)
0.750266 + 0.661136i \(0.229925\pi\)
\(752\) −6.23969e7 + 1.08075e8i −0.146727 + 0.254138i
\(753\) 2.15373e8 1.24346e8i 0.504437 0.291237i
\(754\) −3.45626e8 4.11901e8i −0.806291 0.960901i
\(755\) 1.33999e7 + 3.68160e7i 0.0311359 + 0.0855453i
\(756\) −2.34894e8 + 6.45366e8i −0.543634 + 1.49362i
\(757\) −5.64375e8 4.73567e8i −1.30101 1.09168i −0.989970 0.141279i \(-0.954878\pi\)
−0.311039 0.950397i \(-0.600677\pi\)
\(758\) −5.30464e7 + 3.00841e8i −0.121800 + 0.690764i
\(759\) 3.83715e8i 0.877573i
\(760\) −5.22907e6 + 7.98633e7i −0.0119120 + 0.181931i
\(761\) 6.12780e8 1.39044 0.695218 0.718799i \(-0.255308\pi\)
0.695218 + 0.718799i \(0.255308\pi\)
\(762\) 5.55780e7 + 9.79990e6i 0.125614 + 0.0221491i
\(763\) −2.17279e8 + 2.58943e8i −0.489152 + 0.582949i
\(764\) 7.58723e8 + 2.76153e8i 1.70139 + 0.619254i
\(765\) −1.95394e8 + <