Properties

Label 43.8.g.a.24.19
Level 43
Weight 8
Character 43.24
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 24.19
Character \(\chi\) \(=\) 43.24
Dual form 43.8.g.a.9.19

$q$-expansion

\(f(q)\) \(=\) \(q+(7.72335 - 9.68478i) q^{2} +(15.1267 - 2.27999i) q^{3} +(-5.66207 - 24.8071i) q^{4} +(-308.593 + 210.395i) q^{5} +(94.7479 - 164.108i) q^{6} +(75.0831 + 130.048i) q^{7} +(1144.57 + 551.196i) q^{8} +(-1866.22 + 575.652i) q^{9} +O(q^{10})\) \(q+(7.72335 - 9.68478i) q^{2} +(15.1267 - 2.27999i) q^{3} +(-5.66207 - 24.8071i) q^{4} +(-308.593 + 210.395i) q^{5} +(94.7479 - 164.108i) q^{6} +(75.0831 + 130.048i) q^{7} +(1144.57 + 551.196i) q^{8} +(-1866.22 + 575.652i) q^{9} +(-345.743 + 4613.62i) q^{10} +(-1588.89 + 6961.36i) q^{11} +(-142.208 - 362.341i) q^{12} +(-139.334 - 1859.28i) q^{13} +(1839.38 + 277.241i) q^{14} +(-4188.31 + 3886.18i) q^{15} +(17112.6 - 8240.98i) q^{16} +(1590.17 + 1084.16i) q^{17} +(-8838.40 + 22519.9i) q^{18} +(-11653.2 - 3594.55i) q^{19} +(6966.58 + 6464.04i) q^{20} +(1432.27 + 1796.01i) q^{21} +(55147.7 + 69153.1i) q^{22} +(21431.5 + 19885.5i) q^{23} +(18570.3 + 5728.19i) q^{24} +(22421.4 - 57128.7i) q^{25} +(-19082.9 - 13010.5i) q^{26} +(-57059.9 + 27478.6i) q^{27} +(2800.98 - 2598.93i) q^{28} +(125041. + 18846.9i) q^{29} +(5289.03 + 70577.2i) q^{30} +(-14057.4 - 35817.8i) q^{31} +(16170.6 - 70848.0i) q^{32} +(-8162.82 + 108925. i) q^{33} +(22781.3 - 7027.11i) q^{34} +(-50531.6 - 24334.7i) q^{35} +(24846.9 + 43036.1i) q^{36} +(48175.6 - 83442.6i) q^{37} +(-124814. + 85097.0i) q^{38} +(-6346.80 - 27807.2i) q^{39} +(-469176. + 70716.9i) q^{40} +(-428051. + 536759. i) q^{41} +28455.8 q^{42} +(-468866. - 227997. i) q^{43} +181688. q^{44} +(454788. - 570286. i) q^{45} +(358110. - 53976.4i) q^{46} +(-50089.4 - 219456. i) q^{47} +(240068. - 163675. i) q^{48} +(400497. - 693680. i) q^{49} +(-380111. - 658371. i) q^{50} +(26526.0 + 12774.2i) q^{51} +(-45334.5 + 13983.9i) q^{52} +(17607.0 - 234949. i) q^{53} +(-174570. + 764840. i) q^{54} +(-974319. - 2.48252e6i) q^{55} +(14256.1 + 190234. i) q^{56} +(-184471. - 27804.5i) q^{57} +(1.14826e6 - 1.06543e6i) q^{58} +(844519. - 406699. i) q^{59} +(120119. + 81896.1i) q^{60} +(-1.09805e6 + 2.79778e6i) q^{61} +(-455458. - 140490. i) q^{62} +(-214984. - 199476. i) q^{63} +(954554. + 1.19697e6i) q^{64} +(434182. + 544447. i) q^{65} +(991872. + 920323. i) q^{66} +(-1.62807e6 - 502193. i) q^{67} +(17891.3 - 45586.2i) q^{68} +(369527. + 251939. i) q^{69} +(-625949. + 301441. i) q^{70} +(2.91794e6 - 2.70745e6i) q^{71} +(-2.45332e6 - 369778. i) q^{72} +(382137. + 5.09926e6i) q^{73} +(-436046. - 1.11103e6i) q^{74} +(208909. - 915291. i) q^{75} +(-23189.0 + 309436. i) q^{76} +(-1.02461e6 + 316050. i) q^{77} +(-318325. - 153297. i) q^{78} +(3.11520e6 + 5.39568e6i) q^{79} +(-3.54696e6 + 6.14352e6i) q^{80} +(2.72853e6 - 1.86028e6i) q^{81} +(1.89240e6 + 8.29115e6i) q^{82} +(3.09434e6 - 466397. i) q^{83} +(36444.2 - 45699.6i) q^{84} -718819. q^{85} +(-5.82933e6 + 2.77996e6i) q^{86} +1.93443e6 q^{87} +(-5.65567e6 + 7.09199e6i) q^{88} +(7.90923e6 - 1.19212e6i) q^{89} +(-2.01061e6 - 8.80904e6i) q^{90} +(231334. - 157721. i) q^{91} +(371957. - 644248. i) q^{92} +(-294307. - 509755. i) q^{93} +(-2.51224e6 - 1.20983e6i) q^{94} +(4.35239e6 - 1.34253e6i) q^{95} +(83075.6 - 1.10857e6i) q^{96} +(714825. - 3.13185e6i) q^{97} +(-3.62496e6 - 9.23626e6i) q^{98} +(-1.04212e6 - 1.39061e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.72335 9.68478i 0.682654 0.856022i −0.312941 0.949772i \(-0.601314\pi\)
0.995596 + 0.0937510i \(0.0298857\pi\)
\(3\) 15.1267 2.27999i 0.323460 0.0487537i 0.0146947 0.999892i \(-0.495322\pi\)
0.308765 + 0.951138i \(0.400084\pi\)
\(4\) −5.66207 24.8071i −0.0442349 0.193806i
\(5\) −308.593 + 210.395i −1.10406 + 0.752733i −0.971168 0.238397i \(-0.923378\pi\)
−0.132889 + 0.991131i \(0.542426\pi\)
\(6\) 94.7479 164.108i 0.179077 0.310171i
\(7\) 75.0831 + 130.048i 0.0827368 + 0.143304i 0.904425 0.426634i \(-0.140301\pi\)
−0.821688 + 0.569938i \(0.806967\pi\)
\(8\) 1144.57 + 551.196i 0.790365 + 0.380620i
\(9\) −1866.22 + 575.652i −0.853323 + 0.263215i
\(10\) −345.743 + 4613.62i −0.109333 + 1.45895i
\(11\) −1588.89 + 6961.36i −0.359930 + 1.57696i 0.393434 + 0.919353i \(0.371287\pi\)
−0.753364 + 0.657604i \(0.771570\pi\)
\(12\) −142.208 362.341i −0.0237570 0.0605318i
\(13\) −139.334 1859.28i −0.0175896 0.234716i −0.999069 0.0431475i \(-0.986261\pi\)
0.981479 0.191569i \(-0.0613576\pi\)
\(14\) 1839.38 + 277.241i 0.179152 + 0.0270029i
\(15\) −4188.31 + 3886.18i −0.320420 + 0.297306i
\(16\) 17112.6 8240.98i 1.04447 0.502989i
\(17\) 1590.17 + 1084.16i 0.0785006 + 0.0535208i 0.601934 0.798546i \(-0.294397\pi\)
−0.523434 + 0.852066i \(0.675349\pi\)
\(18\) −8838.40 + 22519.9i −0.357207 + 0.910148i
\(19\) −11653.2 3594.55i −0.389770 0.120228i 0.0936749 0.995603i \(-0.470139\pi\)
−0.483445 + 0.875375i \(0.660615\pi\)
\(20\) 6966.58 + 6464.04i 0.194722 + 0.180676i
\(21\) 1432.27 + 1796.01i 0.0337487 + 0.0423195i
\(22\) 55147.7 + 69153.1i 1.10420 + 1.38462i
\(23\) 21431.5 + 19885.5i 0.367287 + 0.340792i 0.842127 0.539280i \(-0.181303\pi\)
−0.474840 + 0.880072i \(0.657494\pi\)
\(24\) 18570.3 + 5728.19i 0.274208 + 0.0845820i
\(25\) 22421.4 57128.7i 0.286994 0.731248i
\(26\) −19082.9 13010.5i −0.212930 0.145173i
\(27\) −57059.9 + 27478.6i −0.557902 + 0.268672i
\(28\) 2800.98 2598.93i 0.0241134 0.0223739i
\(29\) 125041. + 18846.9i 0.952049 + 0.143498i 0.606660 0.794961i \(-0.292509\pi\)
0.345389 + 0.938460i \(0.387747\pi\)
\(30\) 5289.03 + 70577.2i 0.0357644 + 0.477243i
\(31\) −14057.4 35817.8i −0.0847501 0.215940i 0.882216 0.470845i \(-0.156051\pi\)
−0.966966 + 0.254905i \(0.917956\pi\)
\(32\) 16170.6 70848.0i 0.0872370 0.382210i
\(33\) −8162.82 + 108925.i −0.0395404 + 0.527630i
\(34\) 22781.3 7027.11i 0.0994037 0.0306620i
\(35\) −50531.6 24334.7i −0.199216 0.0959374i
\(36\) 24846.9 + 43036.1i 0.0887593 + 0.153736i
\(37\) 48175.6 83442.6i 0.156358 0.270821i −0.777194 0.629261i \(-0.783358\pi\)
0.933553 + 0.358440i \(0.116691\pi\)
\(38\) −124814. + 85097.0i −0.368996 + 0.251577i
\(39\) −6346.80 27807.2i −0.0171328 0.0750638i
\(40\) −469176. + 70716.9i −1.15911 + 0.174708i
\(41\) −428051. + 536759.i −0.969955 + 1.21629i 0.00637032 + 0.999980i \(0.497972\pi\)
−0.976326 + 0.216306i \(0.930599\pi\)
\(42\) 28455.8 0.0592651
\(43\) −468866. 227997.i −0.899310 0.437311i
\(44\) 181688. 0.321545
\(45\) 454788. 570286.i 0.743987 0.932930i
\(46\) 358110. 53976.4i 0.542456 0.0817620i
\(47\) −50089.4 219456.i −0.0703725 0.308322i 0.927476 0.373882i \(-0.121974\pi\)
−0.997849 + 0.0655604i \(0.979117\pi\)
\(48\) 240068. 163675.i 0.313321 0.213619i
\(49\) 400497. 693680.i 0.486309 0.842312i
\(50\) −380111. 658371.i −0.430046 0.744862i
\(51\) 26526.0 + 12774.2i 0.0280011 + 0.0134846i
\(52\) −45334.5 + 13983.9i −0.0447113 + 0.0137916i
\(53\) 17607.0 234949.i 0.0162450 0.216775i −0.983173 0.182675i \(-0.941524\pi\)
0.999418 0.0341000i \(-0.0108565\pi\)
\(54\) −174570. + 764840.i −0.150866 + 0.660986i
\(55\) −974319. 2.48252e6i −0.789645 2.01198i
\(56\) 14256.1 + 190234.i 0.0108478 + 0.144754i
\(57\) −184471. 27804.5i −0.131937 0.0198862i
\(58\) 1.14826e6 1.06543e6i 0.772758 0.717015i
\(59\) 844519. 406699.i 0.535337 0.257805i −0.146625 0.989192i \(-0.546841\pi\)
0.681962 + 0.731387i \(0.261127\pi\)
\(60\) 120119. + 81896.1i 0.0717933 + 0.0489479i
\(61\) −1.09805e6 + 2.79778e6i −0.619394 + 1.57819i 0.184120 + 0.982904i \(0.441057\pi\)
−0.803514 + 0.595286i \(0.797039\pi\)
\(62\) −455458. 140490.i −0.242704 0.0748643i
\(63\) −214984. 199476.i −0.108321 0.100507i
\(64\) 954554. + 1.19697e6i 0.455167 + 0.570761i
\(65\) 434182. + 544447.i 0.196099 + 0.245900i
\(66\) 991872. + 920323.i 0.424670 + 0.394037i
\(67\) −1.62807e6 502193.i −0.661320 0.203990i −0.0541139 0.998535i \(-0.517233\pi\)
−0.607206 + 0.794545i \(0.707710\pi\)
\(68\) 17891.3 45586.2i 0.00690017 0.0175814i
\(69\) 369527. + 251939.i 0.135417 + 0.0923261i
\(70\) −625949. + 301441.i −0.218120 + 0.105041i
\(71\) 2.91794e6 2.70745e6i 0.967546 0.897751i −0.0272514 0.999629i \(-0.508675\pi\)
0.994797 + 0.101878i \(0.0324850\pi\)
\(72\) −2.45332e6 369778.i −0.774622 0.116755i
\(73\) 382137. + 5.09926e6i 0.114971 + 1.53418i 0.694656 + 0.719342i \(0.255557\pi\)
−0.579685 + 0.814841i \(0.696824\pi\)
\(74\) −436046. 1.11103e6i −0.125090 0.318723i
\(75\) 208909. 915291.i 0.0571798 0.250521i
\(76\) −23189.0 + 309436.i −0.00605947 + 0.0808580i
\(77\) −1.02461e6 + 316050.i −0.255764 + 0.0788928i
\(78\) −318325. 153297.i −0.0759520 0.0365766i
\(79\) 3.11520e6 + 5.39568e6i 0.710871 + 1.23126i 0.964531 + 0.263971i \(0.0850323\pi\)
−0.253660 + 0.967293i \(0.581634\pi\)
\(80\) −3.54696e6 + 6.14352e6i −0.774536 + 1.34154i
\(81\) 2.72853e6 1.86028e6i 0.570468 0.388939i
\(82\) 1.89240e6 + 8.29115e6i 0.379022 + 1.66061i
\(83\) 3.09434e6 466397.i 0.594011 0.0895328i 0.154845 0.987939i \(-0.450512\pi\)
0.439166 + 0.898406i \(0.355274\pi\)
\(84\) 36444.2 45699.6i 0.00670889 0.00841268i
\(85\) −718819. −0.126956
\(86\) −5.82933e6 + 2.77996e6i −0.988266 + 0.471297i
\(87\) 1.93443e6 0.314946
\(88\) −5.65567e6 + 7.09199e6i −0.884697 + 1.10938i
\(89\) 7.90923e6 1.19212e6i 1.18924 0.179249i 0.475535 0.879697i \(-0.342254\pi\)
0.713704 + 0.700448i \(0.247016\pi\)
\(90\) −2.01061e6 8.80904e6i −0.290722 1.27374i
\(91\) 231334. 157721.i 0.0321806 0.0219404i
\(92\) 371957. 644248.i 0.0498006 0.0862572i
\(93\) −294307. 509755.i −0.0379411 0.0657160i
\(94\) −2.51224e6 1.20983e6i −0.311970 0.150237i
\(95\) 4.35239e6 1.34253e6i 0.520828 0.160654i
\(96\) 83075.6 1.10857e6i 0.00958350 0.127883i
\(97\) 714825. 3.13185e6i 0.0795241 0.348418i −0.919475 0.393149i \(-0.871386\pi\)
0.998999 + 0.0447307i \(0.0142430\pi\)
\(98\) −3.62496e6 9.23626e6i −0.389056 0.991299i
\(99\) −1.04212e6 1.39061e7i −0.107943 1.44039i
\(100\) −1.54415e6 232743.i −0.154415 0.0232743i
\(101\) 1.28314e7 1.19058e7i 1.23922 1.14983i 0.256144 0.966639i \(-0.417548\pi\)
0.983077 0.183191i \(-0.0586425\pi\)
\(102\) 328585. 158238.i 0.0306582 0.0147642i
\(103\) −779741. 531618.i −0.0703105 0.0479369i 0.527655 0.849459i \(-0.323072\pi\)
−0.597965 + 0.801522i \(0.704024\pi\)
\(104\) 865352. 2.20488e6i 0.0754356 0.192207i
\(105\) −819860. 252893.i −0.0691158 0.0213194i
\(106\) −2.13945e6 1.98512e6i −0.174474 0.161888i
\(107\) 4.31420e6 + 5.40983e6i 0.340453 + 0.426914i 0.922354 0.386345i \(-0.126263\pi\)
−0.581902 + 0.813259i \(0.697691\pi\)
\(108\) 1.00474e6 + 1.25991e6i 0.0767488 + 0.0962400i
\(109\) 1.11308e7 + 1.03279e7i 0.823255 + 0.763869i 0.974443 0.224636i \(-0.0721194\pi\)
−0.151188 + 0.988505i \(0.548310\pi\)
\(110\) −3.15677e7 9.73735e6i −2.26135 0.697535i
\(111\) 538491. 1.37205e6i 0.0373722 0.0952227i
\(112\) 2.35658e6 + 1.60669e6i 0.158497 + 0.108061i
\(113\) 2.88052e6 1.38719e6i 0.187800 0.0904399i −0.337621 0.941282i \(-0.609622\pi\)
0.525421 + 0.850842i \(0.323908\pi\)
\(114\) −1.69401e6 + 1.57181e6i −0.107090 + 0.0993652i
\(115\) −1.07974e7 1.62745e6i −0.662032 0.0997852i
\(116\) −240453. 3.20862e6i −0.0143030 0.190860i
\(117\) 1.33033e6 + 3.38962e6i 0.0767906 + 0.195659i
\(118\) 2.58373e6 1.13201e7i 0.144764 0.634251i
\(119\) −21597.6 + 288200.i −0.00117488 + 0.0156776i
\(120\) −6.93586e6 + 2.13943e6i −0.366409 + 0.113022i
\(121\) −2.83787e7 1.36664e7i −1.45627 0.701305i
\(122\) 1.86153e7 + 3.22426e7i 0.928133 + 1.60757i
\(123\) −5.25120e6 + 9.09535e6i −0.254443 + 0.440709i
\(124\) −808942. + 551527.i −0.0381014 + 0.0259771i
\(125\) −1.39241e6 6.10057e6i −0.0637652 0.279373i
\(126\) −3.59227e6 + 541448.i −0.159982 + 0.0241135i
\(127\) −6.20030e6 + 7.77494e6i −0.268596 + 0.336809i −0.897777 0.440450i \(-0.854819\pi\)
0.629181 + 0.777259i \(0.283390\pi\)
\(128\) 2.82665e7 1.19135
\(129\) −7.61224e6 2.37985e6i −0.312211 0.0976078i
\(130\) 8.62619e6 0.344364
\(131\) −8.18758e6 + 1.02669e7i −0.318204 + 0.399016i −0.915050 0.403340i \(-0.867849\pi\)
0.596846 + 0.802356i \(0.296420\pi\)
\(132\) 2.74834e6 414246.i 0.104007 0.0156765i
\(133\) −407498. 1.78537e6i −0.0150191 0.0658031i
\(134\) −1.74378e7 + 1.18889e7i −0.626073 + 0.426849i
\(135\) 1.18269e7 2.04849e7i 0.413718 0.716580i
\(136\) 1.22248e6 + 2.11740e6i 0.0416731 + 0.0721799i
\(137\) 1.60915e7 + 7.74924e6i 0.534655 + 0.257476i 0.681672 0.731658i \(-0.261253\pi\)
−0.147017 + 0.989134i \(0.546967\pi\)
\(138\) 5.29397e6 1.63297e6i 0.171476 0.0528935i
\(139\) 1.26613e6 1.68953e7i 0.0399876 0.533597i −0.940857 0.338804i \(-0.889977\pi\)
0.980844 0.194793i \(-0.0624035\pi\)
\(140\) −317562. + 1.39133e6i −0.00978092 + 0.0428530i
\(141\) −1.25804e6 3.20544e6i −0.0377945 0.0962989i
\(142\) −3.68479e6 4.91701e7i −0.107995 1.44109i
\(143\) 1.31645e7 + 1.98423e6i 0.376469 + 0.0567435i
\(144\) −2.71919e7 + 2.52304e7i −0.758875 + 0.704133i
\(145\) −4.25521e7 + 2.04920e7i −1.15913 + 0.558209i
\(146\) 5.23366e7 + 3.56825e7i 1.39178 + 0.948899i
\(147\) 4.47662e6 1.14062e7i 0.116236 0.296164i
\(148\) −2.34275e6 722641.i −0.0594031 0.0183234i
\(149\) 1.29743e7 + 1.20384e7i 0.321315 + 0.298137i 0.824294 0.566162i \(-0.191572\pi\)
−0.502979 + 0.864299i \(0.667763\pi\)
\(150\) −7.25091e6 9.09235e6i −0.175418 0.219967i
\(151\) 4.44183e7 + 5.56988e7i 1.04989 + 1.31652i 0.946792 + 0.321846i \(0.104303\pi\)
0.103095 + 0.994671i \(0.467125\pi\)
\(152\) −1.13566e7 1.05374e7i −0.262300 0.243378i
\(153\) −3.59171e6 1.10790e6i −0.0810739 0.0250080i
\(154\) −4.85253e6 + 1.23641e7i −0.107065 + 0.272796i
\(155\) 1.18739e7 + 8.09550e6i 0.256114 + 0.174616i
\(156\) −653880. + 314892.i −0.0137899 + 0.00664088i
\(157\) 2.92677e7 2.71565e7i 0.603587 0.560047i −0.318063 0.948070i \(-0.603032\pi\)
0.921650 + 0.388022i \(0.126842\pi\)
\(158\) 7.63157e7 + 1.15027e7i 1.53927 + 0.232007i
\(159\) −269345. 3.59416e6i −0.00531396 0.0709099i
\(160\) 9.91595e6 + 2.52654e7i 0.191388 + 0.487648i
\(161\) −976924. + 4.28019e6i −0.0184489 + 0.0808299i
\(162\) 3.05700e6 4.07928e7i 0.0564928 0.753844i
\(163\) −8.47976e7 + 2.61566e7i −1.53365 + 0.473069i −0.942701 0.333639i \(-0.891724\pi\)
−0.590951 + 0.806708i \(0.701247\pi\)
\(164\) 1.57391e7 + 7.57955e6i 0.278629 + 0.134181i
\(165\) −2.03984e7 3.53310e7i −0.353510 0.612297i
\(166\) 1.93817e7 3.35701e7i 0.328862 0.569606i
\(167\) −5.45684e7 + 3.72041e7i −0.906638 + 0.618135i −0.924282 0.381709i \(-0.875336\pi\)
0.0176448 + 0.999844i \(0.494383\pi\)
\(168\) 649380. + 2.84512e6i 0.0105661 + 0.0462933i
\(169\) 5.86102e7 8.83406e6i 0.934048 0.140785i
\(170\) −5.55169e6 + 6.96160e6i −0.0866671 + 0.108677i
\(171\) 2.38167e7 0.364246
\(172\) −3.00121e6 + 1.29222e7i −0.0449725 + 0.193636i
\(173\) −1.25067e8 −1.83646 −0.918232 0.396043i \(-0.870383\pi\)
−0.918232 + 0.396043i \(0.870383\pi\)
\(174\) 1.49403e7 1.87345e7i 0.214999 0.269600i
\(175\) 9.11292e6 1.37355e6i 0.128536 0.0193737i
\(176\) 3.01785e7 + 1.32221e8i 0.417257 + 1.82812i
\(177\) 1.18475e7 8.07751e6i 0.160591 0.109489i
\(178\) 4.95403e7 8.58063e7i 0.658398 1.14038i
\(179\) −3.39545e7 5.88109e7i −0.442498 0.766429i 0.555376 0.831599i \(-0.312574\pi\)
−0.997874 + 0.0651700i \(0.979241\pi\)
\(180\) −1.67222e7 8.05299e6i −0.213717 0.102921i
\(181\) −9.58967e7 + 2.95802e7i −1.20207 + 0.370789i −0.830183 0.557491i \(-0.811764\pi\)
−0.371884 + 0.928279i \(0.621288\pi\)
\(182\) 259182. 3.45855e6i 0.00318681 0.0425250i
\(183\) −1.02310e7 + 4.48248e7i −0.123406 + 0.540679i
\(184\) 1.35691e7 + 3.45734e7i 0.160578 + 0.409147i
\(185\) 2.68927e6 + 3.58858e7i 0.0312272 + 0.416698i
\(186\) −7.20990e6 1.08672e6i −0.0821550 0.0123829i
\(187\) −1.00738e7 + 9.34716e6i −0.112655 + 0.104528i
\(188\) −5.16046e6 + 2.48515e6i −0.0566417 + 0.0272772i
\(189\) −7.85777e6 5.35733e6i −0.0846609 0.0577208i
\(190\) 2.06129e7 5.25207e7i 0.218022 0.555512i
\(191\) 9.91757e7 + 3.05916e7i 1.02988 + 0.317677i 0.763238 0.646117i \(-0.223608\pi\)
0.266646 + 0.963795i \(0.414085\pi\)
\(192\) 1.71684e7 + 1.59299e7i 0.175055 + 0.162427i
\(193\) −3.94680e7 4.94913e7i −0.395180 0.495539i 0.543943 0.839122i \(-0.316931\pi\)
−0.939122 + 0.343583i \(0.888359\pi\)
\(194\) −2.48105e7 3.11113e7i −0.243966 0.305923i
\(195\) 7.80908e6 + 7.24577e6i 0.0754187 + 0.0699783i
\(196\) −1.94759e7 6.00751e6i −0.184757 0.0569899i
\(197\) −4.93971e7 + 1.25862e8i −0.460331 + 1.17290i 0.492746 + 0.870173i \(0.335993\pi\)
−0.953076 + 0.302730i \(0.902102\pi\)
\(198\) −1.42726e8 9.73088e7i −1.30670 0.890890i
\(199\) −3.94656e6 + 1.90056e6i −0.0355003 + 0.0170961i −0.451550 0.892246i \(-0.649129\pi\)
0.416049 + 0.909342i \(0.363414\pi\)
\(200\) 5.71520e7 5.30293e7i 0.505157 0.468717i
\(201\) −2.57724e7 3.88456e6i −0.223856 0.0337408i
\(202\) −1.62036e7 2.16222e8i −0.138319 1.84574i
\(203\) 6.93746e6 + 1.76764e7i 0.0582056 + 0.148305i
\(204\) 166700. 730362.i 0.00137477 0.00602327i
\(205\) 1.91621e7 2.55700e8i 0.155347 2.07297i
\(206\) −1.11708e7 + 3.44574e6i −0.0890327 + 0.0274630i
\(207\) −5.14430e7 2.47737e7i −0.403116 0.194131i
\(208\) −1.77067e7 3.06688e7i −0.136432 0.236307i
\(209\) 4.35386e7 7.54110e7i 0.329885 0.571377i
\(210\) −8.78128e6 + 5.98698e6i −0.0654320 + 0.0446108i
\(211\) 2.80775e7 + 1.23016e8i 0.205764 + 0.901513i 0.967349 + 0.253448i \(0.0815645\pi\)
−0.761585 + 0.648065i \(0.775578\pi\)
\(212\) −5.92811e6 + 893519.i −0.0427308 + 0.00644063i
\(213\) 3.79659e7 4.76077e7i 0.269193 0.337558i
\(214\) 8.57131e7 0.597859
\(215\) 1.92659e8 2.82888e7i 1.32207 0.194125i
\(216\) −8.04553e7 −0.543208
\(217\) 3.60254e6 4.51744e6i 0.0239332 0.0300112i
\(218\) 1.85991e8 2.80336e7i 1.21589 0.183265i
\(219\) 1.74067e7 + 7.62638e7i 0.111986 + 0.490641i
\(220\) −5.60677e7 + 3.82263e7i −0.355004 + 0.242037i
\(221\) 1.79420e6 3.10764e6i 0.0111814 0.0193668i
\(222\) −9.12907e6 1.58120e7i −0.0560004 0.0969955i
\(223\) −2.88134e8 1.38758e8i −1.73991 0.837898i −0.982815 0.184596i \(-0.940902\pi\)
−0.757098 0.653302i \(-0.773383\pi\)
\(224\) 1.04278e7 3.21654e6i 0.0619901 0.0191214i
\(225\) −8.95690e6 + 1.19522e8i −0.0524227 + 0.699532i
\(226\) 8.81269e6 3.86109e7i 0.0507843 0.222500i
\(227\) 8.98577e7 + 2.28954e8i 0.509876 + 1.29914i 0.921708 + 0.387884i \(0.126794\pi\)
−0.411832 + 0.911260i \(0.635111\pi\)
\(228\) 354736. + 4.73362e6i 0.00198213 + 0.0264497i
\(229\) −3.19524e7 4.81605e6i −0.175824 0.0265013i 0.0605399 0.998166i \(-0.480718\pi\)
−0.236364 + 0.971665i \(0.575956\pi\)
\(230\) −9.91540e7 + 9.20015e7i −0.537357 + 0.498594i
\(231\) −1.47784e7 + 7.11688e6i −0.0788832 + 0.0379881i
\(232\) 1.32730e8 + 9.04937e7i 0.697848 + 0.475785i
\(233\) 4.48537e7 1.14285e8i 0.232302 0.591896i −0.766425 0.642333i \(-0.777966\pi\)
0.998727 + 0.0504379i \(0.0160617\pi\)
\(234\) 4.31023e7 + 1.32953e7i 0.219910 + 0.0678332i
\(235\) 6.16297e7 + 5.71840e7i 0.309780 + 0.287433i
\(236\) −1.48707e7 1.86473e7i −0.0736446 0.0923474i
\(237\) 5.94248e7 + 7.45163e7i 0.289967 + 0.363607i
\(238\) 2.62435e6 + 2.43504e6i 0.0126183 + 0.0117081i
\(239\) 1.69418e8 + 5.22584e7i 0.802723 + 0.247607i 0.668856 0.743392i \(-0.266784\pi\)
0.133867 + 0.990999i \(0.457260\pi\)
\(240\) −3.96468e7 + 1.01018e8i −0.185126 + 0.471694i
\(241\) −1.09797e8 7.48580e7i −0.505276 0.344492i 0.283702 0.958912i \(-0.408437\pi\)
−0.788978 + 0.614421i \(0.789390\pi\)
\(242\) −3.51535e8 + 1.69290e8i −1.59446 + 0.767854i
\(243\) 1.38565e8 1.28569e8i 0.619485 0.574798i
\(244\) 7.56222e7 + 1.13982e7i 0.333261 + 0.0502310i
\(245\) 2.23566e7 + 2.98328e8i 0.0971234 + 1.29602i
\(246\) 4.75295e7 + 1.21103e8i 0.203559 + 0.518660i
\(247\) −5.05958e6 + 2.21675e7i −0.0213637 + 0.0936003i
\(248\) 3.65289e6 4.87444e7i 0.0152074 0.202929i
\(249\) 4.57438e7 1.41101e7i 0.187774 0.0579205i
\(250\) −6.98367e7 3.36316e7i −0.282679 0.136131i
\(251\) −4.63105e6 8.02121e6i −0.0184851 0.0320171i 0.856635 0.515923i \(-0.172551\pi\)
−0.875120 + 0.483906i \(0.839218\pi\)
\(252\) −3.73117e6 + 6.46257e6i −0.0146873 + 0.0254392i
\(253\) −1.72483e8 + 1.17597e8i −0.669613 + 0.456534i
\(254\) 2.74114e7 + 1.20097e8i 0.104957 + 0.459848i
\(255\) −1.08734e7 + 1.63890e6i −0.0410652 + 0.00618958i
\(256\) 9.61295e7 1.20543e8i 0.358110 0.449056i
\(257\) 2.85104e8 1.04770 0.523851 0.851810i \(-0.324495\pi\)
0.523851 + 0.851810i \(0.324495\pi\)
\(258\) −8.18403e7 + 5.53425e7i −0.296687 + 0.200627i
\(259\) 1.44687e7 0.0517464
\(260\) 1.10478e7 1.38535e7i 0.0389824 0.0488824i
\(261\) −2.44203e8 + 3.68077e7i −0.850176 + 0.128143i
\(262\) 3.61971e7 + 1.58590e8i 0.124342 + 0.544780i
\(263\) −1.68841e8 + 1.15114e8i −0.572312 + 0.390196i −0.814613 0.580005i \(-0.803050\pi\)
0.242300 + 0.970201i \(0.422098\pi\)
\(264\) −6.93821e7 + 1.20173e8i −0.232078 + 0.401971i
\(265\) 4.39988e7 + 7.62082e7i 0.145238 + 0.251560i
\(266\) −2.04381e7 9.84248e6i −0.0665817 0.0320641i
\(267\) 1.16923e8 3.60659e7i 0.375932 0.115960i
\(268\) −3.23973e6 + 4.32312e7i −0.0102810 + 0.137191i
\(269\) −3.78194e7 + 1.65698e8i −0.118463 + 0.519020i 0.880523 + 0.474003i \(0.157191\pi\)
−0.998986 + 0.0450169i \(0.985666\pi\)
\(270\) −1.07048e8 2.72753e8i −0.330982 0.843328i
\(271\) −1.95772e7 2.61239e8i −0.0597527 0.797344i −0.943920 0.330174i \(-0.892893\pi\)
0.884167 0.467170i \(-0.154726\pi\)
\(272\) 3.61465e7 + 5.44821e6i 0.108912 + 0.0164158i
\(273\) 3.13972e6 2.91323e6i 0.00933946 0.00866575i
\(274\) 1.99330e8 9.59921e7i 0.585390 0.281909i
\(275\) 3.62069e8 + 2.46854e8i 1.04985 + 0.715774i
\(276\) 4.15761e6 1.05934e7i 0.0119031 0.0303287i
\(277\) −2.50120e8 7.71519e7i −0.707082 0.218106i −0.0797015 0.996819i \(-0.525397\pi\)
−0.627380 + 0.778713i \(0.715873\pi\)
\(278\) −1.53848e8 1.42750e8i −0.429473 0.398493i
\(279\) 4.68528e7 + 5.87516e7i 0.129158 + 0.161959i
\(280\) −4.44238e7 5.57056e7i −0.120938 0.151651i
\(281\) 3.57098e8 + 3.31338e8i 0.960097 + 0.890840i 0.994087 0.108582i \(-0.0346310\pi\)
−0.0339903 + 0.999422i \(0.510822\pi\)
\(282\) −4.07603e7 1.25729e7i −0.108235 0.0333859i
\(283\) 2.46728e8 6.28653e8i 0.647092 1.64876i −0.108798 0.994064i \(-0.534700\pi\)
0.755890 0.654699i \(-0.227205\pi\)
\(284\) −8.36856e7 5.70559e7i −0.216789 0.147804i
\(285\) 6.27764e7 3.02315e7i 0.160635 0.0773576i
\(286\) 1.20891e8 1.12171e8i 0.305572 0.283529i
\(287\) −1.01944e8 1.53655e7i −0.254550 0.0383672i
\(288\) 1.06059e7 + 1.41526e8i 0.0261623 + 0.349111i
\(289\) −1.48560e8 3.78525e8i −0.362043 0.922471i
\(290\) −1.30184e8 + 5.70375e8i −0.313448 + 1.37331i
\(291\) 3.67238e6 4.90045e7i 0.00873619 0.116576i
\(292\) 1.24334e8 3.83521e7i 0.292248 0.0901465i
\(293\) −7.46091e8 3.59299e8i −1.73283 0.834485i −0.985424 0.170114i \(-0.945586\pi\)
−0.747402 0.664372i \(-0.768699\pi\)
\(294\) −7.58924e7 1.31449e8i −0.174174 0.301678i
\(295\) −1.75045e8 + 3.03187e8i −0.396984 + 0.687597i
\(296\) 1.01134e8 6.89518e7i 0.226660 0.154534i
\(297\) −1.00627e8 4.40875e8i −0.222878 0.976491i
\(298\) 2.16794e8 3.26764e7i 0.474559 0.0715283i
\(299\) 3.39867e7 4.26180e7i 0.0735292 0.0922027i
\(300\) −2.38886e7 −0.0510818
\(301\) −5.55339e6 7.80937e7i −0.0117375 0.165057i
\(302\) 8.82489e8 1.84368
\(303\) 1.66952e8 2.09351e8i 0.344780 0.432340i
\(304\) −2.29039e8 + 3.45221e7i −0.467576 + 0.0704758i
\(305\) −2.49790e8 1.09440e9i −0.504110 2.20865i
\(306\) −3.84698e7 + 2.62282e7i −0.0767528 + 0.0523292i
\(307\) 1.86944e8 3.23796e8i 0.368745 0.638685i −0.620624 0.784108i \(-0.713121\pi\)
0.989370 + 0.145423i \(0.0464542\pi\)
\(308\) 1.36417e7 + 2.36281e7i 0.0266036 + 0.0460788i
\(309\) −1.30070e7 6.26384e6i −0.0250797 0.0120778i
\(310\) 1.70110e8 5.24719e7i 0.324312 0.100037i
\(311\) 2.49154e7 3.32473e8i 0.0469686 0.626752i −0.923200 0.384320i \(-0.874436\pi\)
0.970168 0.242432i \(-0.0779450\pi\)
\(312\) 8.06284e6 3.53256e7i 0.0150296 0.0658489i
\(313\) −4.93743e7 1.25804e8i −0.0910113 0.231893i 0.878119 0.478442i \(-0.158798\pi\)
−0.969130 + 0.246549i \(0.920703\pi\)
\(314\) −3.69595e7 4.93190e8i −0.0673709 0.899002i
\(315\) 1.08311e8 + 1.63253e7i 0.195248 + 0.0294289i
\(316\) 1.16213e8 1.07830e8i 0.207181 0.192236i
\(317\) −4.27007e8 + 2.05636e8i −0.752883 + 0.362569i −0.770638 0.637273i \(-0.780062\pi\)
0.0177552 + 0.999842i \(0.494348\pi\)
\(318\) −3.68889e7 2.51504e7i −0.0643280 0.0438581i
\(319\) −3.29876e8 + 8.40510e8i −0.568962 + 1.44969i
\(320\) −5.46407e8 1.68544e8i −0.932161 0.287534i
\(321\) 7.75940e7 + 7.19967e7i 0.130936 + 0.121491i
\(322\) 3.39075e7 + 4.25187e7i 0.0565979 + 0.0709715i
\(323\) −1.46336e7 1.83499e7i −0.0241625 0.0302988i
\(324\) −6.15974e7 5.71540e7i −0.100613 0.0933554i
\(325\) −1.09342e8 3.37277e7i −0.176684 0.0544998i
\(326\) −4.01601e8 + 1.02326e9i −0.641997 + 1.63578i
\(327\) 1.91920e8 + 1.30849e8i 0.303531 + 0.206944i
\(328\) −7.85794e8 + 3.78418e8i −1.22956 + 0.592125i
\(329\) 2.47789e7 2.29914e7i 0.0383615 0.0355943i
\(330\) −4.99717e8 7.53202e7i −0.765465 0.115375i
\(331\) 8.35668e7 + 1.11512e9i 0.126659 + 1.69015i 0.592732 + 0.805400i \(0.298049\pi\)
−0.466073 + 0.884746i \(0.654332\pi\)
\(332\) −2.90903e7 7.41209e7i −0.0436280 0.111162i
\(333\) −4.18723e7 + 1.83455e8i −0.0621401 + 0.272254i
\(334\) −6.11375e7 + 8.15824e8i −0.0897832 + 1.19807i
\(335\) 6.08071e8 1.87565e8i 0.883685 0.272581i
\(336\) 3.93106e7 + 1.89310e7i 0.0565357 + 0.0272261i
\(337\) 1.60612e8 + 2.78189e8i 0.228599 + 0.395945i 0.957393 0.288788i \(-0.0932522\pi\)
−0.728794 + 0.684733i \(0.759919\pi\)
\(338\) 3.67111e8 6.35855e8i 0.517117 0.895673i
\(339\) 4.04101e7 2.75511e7i 0.0563366 0.0384097i
\(340\) 4.07000e6 + 1.78318e7i 0.00561589 + 0.0246048i
\(341\) 2.71676e8 4.09486e7i 0.371032 0.0559240i
\(342\) 1.83945e8 2.30659e8i 0.248654 0.311802i
\(343\) 2.43950e8 0.326416
\(344\) −4.10980e8 5.19397e8i −0.544334 0.687931i
\(345\) −1.67041e8 −0.219006
\(346\) −9.65939e8 + 1.21125e9i −1.25367 + 1.57205i
\(347\) 1.08102e9 1.62937e8i 1.38892 0.209347i 0.588363 0.808597i \(-0.299773\pi\)
0.800562 + 0.599250i \(0.204535\pi\)
\(348\) −1.09529e7 4.79877e7i −0.0139316 0.0610383i
\(349\) 6.29357e8 4.29088e8i 0.792516 0.540328i −0.0980504 0.995181i \(-0.531261\pi\)
0.890566 + 0.454853i \(0.150308\pi\)
\(350\) 5.70798e7 9.88650e7i 0.0711613 0.123255i
\(351\) 5.90409e7 + 1.02262e8i 0.0728749 + 0.126223i
\(352\) 4.67505e8 + 2.25139e8i 0.571330 + 0.275138i
\(353\) 1.48578e9 4.58302e8i 1.79780 0.554549i 0.798905 0.601457i \(-0.205413\pi\)
0.998899 + 0.0469083i \(0.0149369\pi\)
\(354\) 1.32738e7 1.77126e8i 0.0159031 0.212213i
\(355\) −3.30821e8 + 1.44942e9i −0.392458 + 1.71947i
\(356\) −7.43558e7 1.89455e8i −0.0873453 0.222552i
\(357\) 330392. + 4.40877e6i 0.000384318 + 0.00512836i
\(358\) −8.31813e8 1.25376e8i −0.958153 0.144418i
\(359\) −6.81127e8 + 6.31993e8i −0.776958 + 0.720912i −0.965286 0.261195i \(-0.915884\pi\)
0.188328 + 0.982106i \(0.439693\pi\)
\(360\) 8.34877e8 4.02055e8i 0.943113 0.454179i
\(361\) −6.15674e8 4.19760e8i −0.688773 0.469597i
\(362\) −4.54166e8 + 1.15720e9i −0.503193 + 1.28212i
\(363\) −4.60436e8 1.42026e8i −0.505238 0.155845i
\(364\) −5.22242e6 4.84570e6i −0.00567567 0.00526625i
\(365\) −1.19079e9 1.49320e9i −1.28177 1.60728i
\(366\) 3.55101e8 + 4.45282e8i 0.378589 + 0.474735i
\(367\) 1.10219e9 + 1.02268e9i 1.16392 + 1.07996i 0.995549 + 0.0942416i \(0.0300426\pi\)
0.168376 + 0.985723i \(0.446148\pi\)
\(368\) 5.30625e8 + 1.63676e8i 0.555035 + 0.171205i
\(369\) 4.89850e8 1.24812e9i 0.507541 1.29319i
\(370\) 3.68316e8 + 2.51113e8i 0.378020 + 0.257729i
\(371\) 3.18766e7 1.53510e7i 0.0324088 0.0156073i
\(372\) −1.09792e7 + 1.01872e7i −0.0110578 + 0.0102601i
\(373\) −1.04584e9 1.57635e8i −1.04348 0.157279i −0.395131 0.918625i \(-0.629301\pi\)
−0.648346 + 0.761346i \(0.724539\pi\)
\(374\) 1.27213e7 + 1.69754e8i 0.0125742 + 0.167792i
\(375\) −3.49719e7 8.91069e7i −0.0342460 0.0872573i
\(376\) 6.36324e7 2.78792e8i 0.0617335 0.270472i
\(377\) 1.76192e7 2.35112e8i 0.0169353 0.225986i
\(378\) −1.12573e8 + 3.47241e7i −0.107204 + 0.0330682i
\(379\) 1.66796e9 + 8.03246e8i 1.57379 + 0.757899i 0.998208 0.0598416i \(-0.0190596\pi\)
0.575586 + 0.817741i \(0.304774\pi\)
\(380\) −5.79479e7 1.00369e8i −0.0541745 0.0938330i
\(381\) −7.60635e7 + 1.31746e8i −0.0704594 + 0.122039i
\(382\) 1.06224e9 7.24224e8i 0.974993 0.664739i
\(383\) 9.02367e7 + 3.95353e8i 0.0820706 + 0.359575i 0.999242 0.0389171i \(-0.0123908\pi\)
−0.917172 + 0.398492i \(0.869534\pi\)
\(384\) 4.27580e8 6.44473e7i 0.385352 0.0580825i
\(385\) 2.49692e8 3.13103e8i 0.222993 0.279625i
\(386\) −7.84137e8 −0.693963
\(387\) 1.00625e9 + 1.55589e8i 0.882510 + 0.136455i
\(388\) −8.17397e7 −0.0710431
\(389\) −7.40513e8 + 9.28573e8i −0.637836 + 0.799821i −0.990730 0.135842i \(-0.956626\pi\)
0.352895 + 0.935663i \(0.385197\pi\)
\(390\) 1.30486e8 1.96676e7i 0.111388 0.0167890i
\(391\) 1.25207e7 + 5.48567e7i 0.0105928 + 0.0464099i
\(392\) 8.40751e8 5.73214e8i 0.704963 0.480635i
\(393\) −1.00443e8 + 1.73972e8i −0.0834729 + 0.144579i
\(394\) 8.37433e8 + 1.45048e9i 0.689784 + 1.19474i
\(395\) −2.09656e9 1.00965e9i −1.71166 0.824290i
\(396\) −3.39069e8 + 1.04589e8i −0.274382 + 0.0846355i
\(397\) 2.52182e7 3.36514e8i 0.0202278 0.269921i −0.977915 0.209003i \(-0.932978\pi\)
0.998143 0.0609178i \(-0.0194028\pi\)
\(398\) −1.20741e7 + 5.29002e7i −0.00959986 + 0.0420597i
\(399\) −1.02347e7 2.60776e7i −0.00806623 0.0205524i
\(400\) −8.71093e7 1.16239e9i −0.0680542 0.908120i
\(401\) −8.11850e8 1.22367e8i −0.628739 0.0947672i −0.173060 0.984911i \(-0.555365\pi\)
−0.455679 + 0.890144i \(0.650604\pi\)
\(402\) −2.36670e8 + 2.19598e8i −0.181699 + 0.168592i
\(403\) −6.46367e7 + 3.11274e7i −0.0491939 + 0.0236905i
\(404\) −3.68001e8 2.50899e8i −0.277660 0.189306i
\(405\) −4.50612e8 + 1.14814e9i −0.337062 + 0.858821i
\(406\) 2.24772e8 + 6.93330e7i 0.166687 + 0.0514161i
\(407\) 5.04329e8 + 4.67949e8i 0.370794 + 0.344047i
\(408\) 2.33197e7 + 2.92420e7i 0.0169986 + 0.0213156i
\(409\) 6.07888e8 + 7.62268e8i 0.439331 + 0.550904i 0.951367 0.308060i \(-0.0996799\pi\)
−0.512036 + 0.858964i \(0.671108\pi\)
\(410\) −2.32840e9 2.16044e9i −1.66846 1.54810i
\(411\) 2.61079e8 + 8.05323e7i 0.185492 + 0.0572168i
\(412\) −8.77298e6 + 2.23532e7i −0.00618026 + 0.0157471i
\(413\) 1.16299e8 + 7.92915e7i 0.0812366 + 0.0553862i
\(414\) −6.37240e8 + 3.06879e8i −0.441369 + 0.212552i
\(415\) −8.56765e8 + 7.94962e8i −0.588428 + 0.545981i
\(416\) −1.33979e8 2.01942e7i −0.0912455 0.0137531i
\(417\) −1.93687e7 2.58457e8i −0.0130805 0.174547i
\(418\) −3.94075e8 1.00409e9i −0.263914 0.672442i
\(419\) 3.79122e8 1.66104e9i 0.251785 1.10314i −0.678007 0.735055i \(-0.737156\pi\)
0.929792 0.368086i \(-0.119987\pi\)
\(420\) −1.63146e6 + 2.17703e7i −0.00107449 + 0.0143381i
\(421\) 6.49256e8 2.00269e8i 0.424062 0.130806i −0.0753768 0.997155i \(-0.524016\pi\)
0.499438 + 0.866349i \(0.333540\pi\)
\(422\) 1.40823e9 + 6.78169e8i 0.912180 + 0.439283i
\(423\) 2.19808e8 + 3.80718e8i 0.141206 + 0.244575i
\(424\) 1.49656e8 2.59211e8i 0.0953482 0.165148i
\(425\) 9.75906e7 6.65361e7i 0.0616661 0.0420433i
\(426\) −1.67846e8 7.35382e8i −0.105191 0.460871i
\(427\) −4.46290e8 + 6.72674e7i −0.277408 + 0.0418126i
\(428\) 1.09775e8 1.37654e8i 0.0676785 0.0848662i
\(429\) 2.03660e8 0.124539
\(430\) 1.21400e9 2.08434e9i 0.736341 1.26424i
\(431\) 1.02752e9 0.618185 0.309092 0.951032i \(-0.399975\pi\)
0.309092 + 0.951032i \(0.399975\pi\)
\(432\) −7.49991e8 + 9.40460e8i −0.447572 + 0.561238i
\(433\) −1.61064e9 + 2.42765e8i −0.953433 + 0.143707i −0.607295 0.794477i \(-0.707745\pi\)
−0.346138 + 0.938183i \(0.612507\pi\)
\(434\) −1.59267e7 6.97796e7i −0.00935218 0.0409746i
\(435\) −5.96952e8 + 4.06995e8i −0.347718 + 0.237070i
\(436\) 1.93182e8 3.34601e8i 0.111626 0.193341i
\(437\) −1.78267e8 3.08767e8i −0.102185 0.176989i
\(438\) 8.73037e8 + 4.20432e8i 0.496447 + 0.239076i
\(439\) 5.66525e8 1.74750e8i 0.319590 0.0985804i −0.130810 0.991407i \(-0.541758\pi\)
0.450400 + 0.892827i \(0.351282\pi\)
\(440\) 2.53181e8 3.37847e9i 0.141692 1.89075i
\(441\) −3.48095e8 + 1.52511e9i −0.193269 + 0.846769i
\(442\) −1.62396e7 4.13778e7i −0.00894534 0.0227924i
\(443\) 2.15455e8 + 2.87505e9i 0.117745 + 1.57120i 0.673077 + 0.739572i \(0.264972\pi\)
−0.555332 + 0.831629i \(0.687409\pi\)
\(444\) −3.70857e7 5.58977e6i −0.0201079 0.00303077i
\(445\) −2.18992e9 + 2.03195e9i −1.17806 + 1.09308i
\(446\) −3.56920e9 + 1.71884e9i −1.90502 + 0.917408i
\(447\) 2.23706e8 + 1.52520e8i 0.118468 + 0.0807701i
\(448\) −8.39927e7 + 2.14010e8i −0.0441335 + 0.112450i
\(449\) −1.81706e9 5.60489e8i −0.947343 0.292217i −0.217678 0.976021i \(-0.569848\pi\)
−0.729666 + 0.683804i \(0.760324\pi\)
\(450\) 1.08836e9 + 1.00985e9i 0.563028 + 0.522413i
\(451\) −3.05645e9 3.83266e9i −1.56891 1.96736i
\(452\) −5.07218e7 6.36031e7i −0.0258351 0.0323962i
\(453\) 7.98896e8 + 7.41267e8i 0.403782 + 0.374655i
\(454\) 2.91137e9 + 8.98038e8i 1.46016 + 0.450401i
\(455\) −3.82043e7 + 9.73431e7i −0.0190140 + 0.0484468i
\(456\) −1.95814e8 1.33504e8i −0.0967090 0.0659351i
\(457\) 2.53858e7 1.22251e7i 0.0124418 0.00599166i −0.427652 0.903943i \(-0.640659\pi\)
0.440094 + 0.897952i \(0.354945\pi\)
\(458\) −2.93422e8 + 2.72256e8i −0.142713 + 0.132418i
\(459\) −1.20526e8 1.81664e7i −0.0581752 0.00876850i
\(460\) 2.07634e7 + 2.77068e8i 0.00994595 + 0.132719i
\(461\) −4.43972e8 1.13122e9i −0.211058 0.537768i 0.785665 0.618652i \(-0.212321\pi\)
−0.996724 + 0.0808841i \(0.974226\pi\)
\(462\) −4.52131e7 + 1.98091e8i −0.0213313 + 0.0934585i
\(463\) 2.31905e8 3.09455e9i 0.108587 1.44899i −0.630925 0.775844i \(-0.717325\pi\)
0.739512 0.673144i \(-0.235056\pi\)
\(464\) 2.29509e9 7.07941e8i 1.06656 0.328991i
\(465\) 1.98071e8 + 9.53861e7i 0.0913558 + 0.0439946i
\(466\) −7.60408e8 1.31706e9i −0.348093 0.602915i
\(467\) 1.72416e9 2.98633e9i 0.783373 1.35684i −0.146593 0.989197i \(-0.546831\pi\)
0.929966 0.367645i \(-0.119836\pi\)
\(468\) 7.65543e7 5.21939e7i 0.0345231 0.0235374i
\(469\) −5.69314e7 2.49433e8i −0.0254828 0.111647i
\(470\) 1.02980e9 1.55218e8i 0.457522 0.0689603i
\(471\) 3.80808e8 4.77519e8i 0.167932 0.210580i
\(472\) 1.19078e9 0.521237
\(473\) 2.33215e9 2.90169e9i 1.01331 1.26077i
\(474\) 1.18063e9 0.509203
\(475\) −4.66633e8 + 5.85139e8i −0.199778 + 0.250514i
\(476\) 7.27171e6 1.09603e6i 0.00309038 0.000465800i
\(477\) 1.02391e8 + 4.48602e8i 0.0431962 + 0.189255i
\(478\) 1.81458e9 1.23716e9i 0.759940 0.518118i
\(479\) 1.85135e7 3.20662e7i 0.00769685 0.0133313i −0.862151 0.506651i \(-0.830883\pi\)
0.869848 + 0.493320i \(0.164217\pi\)
\(480\) 2.07601e8 + 3.59575e8i 0.0856810 + 0.148404i
\(481\) −1.61856e8 7.79457e7i −0.0663164 0.0319363i
\(482\) −1.57298e9 + 4.85200e8i −0.639821 + 0.197359i
\(483\) −5.01890e6 + 6.69726e7i −0.00202672 + 0.0270447i
\(484\) −1.78343e8 + 7.81374e8i −0.0714988 + 0.313257i
\(485\) 4.38337e8 + 1.11687e9i 0.174467 + 0.444534i
\(486\) −1.74981e8 2.33496e9i −0.0691454 0.922681i
\(487\) −4.91429e8 7.40709e7i −0.192801 0.0290601i 0.0519319 0.998651i \(-0.483462\pi\)
−0.244733 + 0.969591i \(0.578700\pi\)
\(488\) −2.79892e9 + 2.59702e9i −1.09024 + 1.01159i
\(489\) −1.22307e9 + 5.89001e8i −0.473011 + 0.227790i
\(490\) 3.06191e9 + 2.08757e9i 1.17572 + 0.801595i
\(491\) −9.33417e8 + 2.37831e9i −0.355869 + 0.906740i 0.635073 + 0.772452i \(0.280970\pi\)
−0.990942 + 0.134288i \(0.957125\pi\)
\(492\) 2.55362e8 + 7.87688e7i 0.0966671 + 0.0298179i
\(493\) 1.78404e8 + 1.65534e8i 0.0670563 + 0.0622191i
\(494\) 1.75610e8 + 2.20208e8i 0.0655399 + 0.0821844i
\(495\) 3.24736e9 + 4.07206e9i 1.20341 + 1.50902i
\(496\) −5.35732e8 4.97087e8i −0.197134 0.182914i
\(497\) 5.71185e8 + 1.76187e8i 0.208703 + 0.0643764i
\(498\) 2.16643e8 5.51996e8i 0.0786033 0.200278i
\(499\) −2.18570e9 1.49018e9i −0.787478 0.536893i 0.101504 0.994835i \(-0.467634\pi\)
−0.888982 + 0.457942i \(0.848587\pi\)
\(500\) −1.43454e8 + 6.90836e7i −0.0513235 + 0.0247161i
\(501\) −7.40617e8 + 6.87192e8i −0.263125 + 0.244144i
\(502\) −1.13451e8 1.71000e7i −0.0400262 0.00603298i
\(503\) 6.52004e7 + 8.70039e8i 0.0228435 + 0.304825i 0.996909 + 0.0785604i \(0.0250323\pi\)
−0.974066 + 0.226265i \(0.927349\pi\)
\(504\) −1.36114e8 3.46812e8i −0.0473582 0.120667i
\(505\) −1.45476e9 + 6.37371e9i −0.502656 + 2.20228i
\(506\) −1.93247e8 + 2.57870e9i −0.0663109 + 0.884858i
\(507\) 8.66438e8 2.67261e8i 0.295263 0.0910767i
\(508\) 2.27980e8 + 1.09790e8i 0.0771569 + 0.0371568i
\(509\) −6.85717e8 1.18770e9i −0.230480 0.399203i 0.727470 0.686140i \(-0.240696\pi\)
−0.957949 + 0.286937i \(0.907363\pi\)
\(510\) −6.81066e7 + 1.17964e8i −0.0227349 + 0.0393780i
\(511\) −6.34455e8 + 4.32564e8i −0.210343 + 0.143409i
\(512\) 3.80121e8 + 1.66542e9i 0.125163 + 0.548376i
\(513\) 7.63706e8 1.15110e8i 0.249756 0.0376446i
\(514\) 2.20196e9 2.76117e9i 0.715218 0.896855i
\(515\) 3.52473e8 0.113710
\(516\) −1.59361e7 + 2.02313e8i −0.00510632 + 0.0648260i
\(517\) 1.60730e9 0.511540
\(518\) 1.11747e8 1.40126e8i 0.0353249 0.0442960i
\(519\) −1.89186e9 + 2.85152e8i −0.594022 + 0.0895345i
\(520\) 1.96855e8 + 8.62478e8i 0.0613952 + 0.268990i
\(521\) −2.63772e9 + 1.79837e9i −0.817142 + 0.557118i −0.898198 0.439592i \(-0.855123\pi\)
0.0810560 + 0.996710i \(0.474171\pi\)
\(522\) −1.52959e9 + 2.64933e9i −0.470683 + 0.815247i
\(523\) 8.72476e8 + 1.51117e9i 0.266684 + 0.461911i 0.968004 0.250937i \(-0.0807386\pi\)
−0.701319 + 0.712847i \(0.747405\pi\)
\(524\) 3.01051e8 + 1.44979e8i 0.0914073 + 0.0440194i
\(525\) 1.34717e8 4.15547e7i 0.0406317 0.0125332i
\(526\) −1.89167e8 + 2.52425e9i −0.0566754 + 0.756281i
\(527\) 1.64785e7 7.21969e7i 0.00490433 0.0214873i
\(528\) 7.57964e8 + 1.93126e9i 0.224094 + 0.570982i
\(529\) −1.90568e8 2.54295e9i −0.0559699 0.746867i
\(530\) 1.07788e9 + 1.62464e8i 0.314488 + 0.0474014i
\(531\) −1.34194e9 + 1.24514e9i −0.388957 + 0.360900i
\(532\) −4.19825e7 + 2.02177e7i −0.0120886 + 0.00582158i
\(533\) 1.05763e9 + 7.21078e8i 0.302543 + 0.206271i
\(534\) 5.53745e8 1.41092e9i 0.157368 0.400966i
\(535\) −2.46954e9 7.61751e8i −0.697232 0.215068i
\(536\) −1.58663e9 1.47218e9i −0.445041 0.412938i
\(537\) −6.47708e8 8.12200e8i −0.180497 0.226336i
\(538\) 1.31265e9 + 1.64602e9i 0.363423 + 0.455718i
\(539\) 4.19262e9 + 3.89018e9i 1.15325 + 1.07006i
\(540\) −5.75136e8 1.77406e8i −0.157178 0.0484830i
\(541\) 1.29139e9 3.29041e9i 0.350645 0.893429i −0.641361 0.767239i \(-0.721630\pi\)
0.992006 0.126190i \(-0.0402748\pi\)
\(542\) −2.68124e9 1.82804e9i −0.723334 0.493161i
\(543\) −1.38316e9 + 6.66095e8i −0.370743 + 0.178541i
\(544\) 1.02525e8 9.51290e7i 0.0273044 0.0253348i
\(545\) −5.60784e9 8.45245e8i −1.48391 0.223663i
\(546\) −3.96486e6 5.29074e7i −0.00104245 0.0139105i
\(547\) −8.03334e8 2.04686e9i −0.209865 0.534728i 0.786719 0.617312i \(-0.211778\pi\)
−0.996584 + 0.0825833i \(0.973683\pi\)
\(548\) 1.01126e8 4.43060e8i 0.0262500 0.115009i
\(549\) 4.38649e8 5.85336e9i 0.113139 1.50974i
\(550\) 5.18711e9 1.60001e9i 1.32940 0.410066i
\(551\) −1.38938e9 6.69092e8i −0.353828 0.170394i
\(552\) 2.84082e8 + 4.92045e8i 0.0718881 + 0.124514i
\(553\) −4.67797e8 + 8.10248e8i −0.117630 + 0.203742i
\(554\) −2.67897e9 + 1.82649e9i −0.669396 + 0.456386i
\(555\) 1.22499e8 + 5.36702e8i 0.0304163 + 0.133263i
\(556\) −4.26292e8 + 6.42532e7i −0.105183 + 0.0158538i
\(557\) 4.79097e9 6.00769e9i 1.17471 1.47304i 0.325057 0.945695i \(-0.394617\pi\)
0.849652 0.527344i \(-0.176812\pi\)
\(558\) 9.30857e8 0.226811
\(559\) −3.58583e8 + 9.03523e8i −0.0868256 + 0.218775i
\(560\) −1.06527e9 −0.256330
\(561\) −1.31073e8 + 1.64360e8i −0.0313431 + 0.0393031i
\(562\) 5.96693e9 8.99370e8i 1.41799 0.213728i
\(563\) 7.07801e8 + 3.10108e9i 0.167160 + 0.732375i 0.987124 + 0.159960i \(0.0511364\pi\)
−0.819964 + 0.572415i \(0.806006\pi\)
\(564\) −7.23948e7 + 4.93579e7i −0.0169914 + 0.0115846i
\(565\) −5.97052e8 + 1.03412e9i −0.139265 + 0.241214i
\(566\) −4.18279e9 7.24481e9i −0.969636 1.67946i
\(567\) 4.46792e8 + 2.15164e8i 0.102935 + 0.0495710i
\(568\) 4.83212e9 1.49051e9i 1.10642 0.341284i
\(569\) 1.66719e8 2.22471e9i 0.0379395 0.506267i −0.945571 0.325416i \(-0.894496\pi\)
0.983510 0.180851i \(-0.0578853\pi\)
\(570\) 1.92059e8 8.41464e8i 0.0434382 0.190315i
\(571\) −2.47176e9 6.29793e9i −0.555622 1.41570i −0.882355 0.470584i \(-0.844043\pi\)
0.326734 0.945116i \(-0.394052\pi\)
\(572\) −2.53153e7 3.37809e8i −0.00565583 0.0754719i
\(573\) 1.56995e9 + 2.36632e8i 0.348614 + 0.0525451i
\(574\) −9.36158e8 + 8.68627e8i −0.206613 + 0.191709i
\(575\) 1.61656e9 7.78494e8i 0.354613 0.170772i
\(576\) −2.47045e9 1.68432e9i −0.538638 0.367237i
\(577\) 1.94312e8 4.95098e8i 0.0421099 0.107294i −0.908272 0.418381i \(-0.862598\pi\)
0.950382 + 0.311087i \(0.100693\pi\)
\(578\) −4.81332e9 1.48471e9i −1.03681 0.319812i
\(579\) −7.09861e8 6.58655e8i −0.151984 0.141021i
\(580\) 7.49281e8 + 9.39568e8i 0.159458 + 0.199954i
\(581\) 2.92986e8 + 3.67393e8i 0.0619770 + 0.0777167i
\(582\) −4.46234e8 4.14045e8i −0.0938280 0.0870597i
\(583\) 1.60759e9 + 4.95876e8i 0.335997 + 0.103641i
\(584\) −2.37331e9 + 6.04710e9i −0.493071 + 1.25633i
\(585\) −1.12369e9 7.66119e8i −0.232060 0.158216i
\(586\) −9.24205e9 + 4.45074e9i −1.89726 + 0.913672i
\(587\) 3.58789e9 3.32908e9i 0.732160 0.679345i −0.223206 0.974771i \(-0.571652\pi\)
0.955366 + 0.295426i \(0.0954617\pi\)
\(588\) −3.08303e8 4.64692e7i −0.0625399 0.00942637i
\(589\) 3.50660e7 + 4.67923e8i 0.00707102 + 0.0943562i
\(590\) 1.58437e9 + 4.03690e9i 0.317595 + 0.809218i
\(591\) −4.60253e8 + 2.01650e9i −0.0917151 + 0.401830i
\(592\) 1.36760e8 1.82493e9i 0.0270914 0.361510i
\(593\) 4.20277e8 1.29638e8i 0.0827646 0.0255295i −0.253096 0.967441i \(-0.581449\pi\)
0.335861 + 0.941912i \(0.390973\pi\)
\(594\) −5.04696e9 2.43049e9i −0.988046 0.475818i
\(595\) −5.39711e7 9.34808e7i −0.0105039 0.0181934i
\(596\) 2.25176e8 3.90017e8i 0.0435673 0.0754608i
\(597\) −5.53652e7 + 3.77474e7i −0.0106494 + 0.00726066i
\(598\) −1.50254e8 6.58307e8i −0.0287325 0.125885i
\(599\) 7.36804e9 1.11055e9i 1.40074 0.211128i 0.595157 0.803609i \(-0.297090\pi\)
0.805584 + 0.592482i \(0.201852\pi\)
\(600\) 7.43616e8 9.32465e8i 0.140546 0.176240i
\(601\) −3.03003e8 −0.0569358 −0.0284679 0.999595i \(-0.509063\pi\)
−0.0284679 + 0.999595i \(0.509063\pi\)
\(602\) −7.99211e8 5.49362e8i −0.149305 0.102629i
\(603\) 3.32742e9 0.618013
\(604\) 1.13023e9 1.41726e9i 0.208707 0.261710i
\(605\) 1.16328e10 1.75337e9i 2.13571 0.321906i
\(606\) −7.38090e8 3.23378e9i −0.134727 0.590278i
\(607\) 4.38810e9 2.99176e9i 0.796372 0.542957i −0.0954017 0.995439i \(-0.530414\pi\)
0.891774 + 0.452482i \(0.149461\pi\)
\(608\) −4.43106e8 + 7.67482e8i −0.0799549 + 0.138486i
\(609\) 1.45243e8 + 2.51568e8i 0.0260576 + 0.0451331i
\(610\) −1.25282e10 6.03328e9i −2.23479 1.07622i
\(611\) −4.01051e8 + 1.23708e8i −0.0711305 + 0.0219408i
\(612\) −7.14722e6 + 9.53730e7i −0.00126040 + 0.0168188i
\(613\) −1.85638e9 + 8.13335e9i −0.325504 + 1.42613i 0.502098 + 0.864811i \(0.332562\pi\)
−0.827602 + 0.561315i \(0.810296\pi\)
\(614\) −1.69206e9 4.31130e9i −0.295003 0.751655i
\(615\) −2.93133e8 3.91159e9i −0.0508162 0.678095i
\(616\) −1.34694e9 2.03019e8i −0.232175 0.0349948i
\(617\) 1.08008e9 1.00217e9i 0.185122 0.171768i −0.582168 0.813069i \(-0.697795\pi\)
0.767290 + 0.641301i \(0.221605\pi\)
\(618\) −1.61122e8 + 7.75921e7i −0.0274596 + 0.0132238i
\(619\) 3.09618e9 + 2.11094e9i 0.524697 + 0.357733i 0.796518 0.604615i \(-0.206673\pi\)
−0.271820 + 0.962348i \(0.587626\pi\)
\(620\) 1.33595e8 3.40395e8i 0.0225123 0.0573605i
\(621\) −1.76931e9 5.45759e8i −0.296471 0.0914493i
\(622\) −3.02750e9 2.80911e9i −0.504450 0.468061i
\(623\) 7.48882e8 + 9.39068e8i 0.124081 + 0.155593i
\(624\) −3.37768e8 4.23548e8i −0.0556510 0.0697842i
\(625\) 5.22792e9 + 4.85080e9i 0.856543 + 0.794756i
\(626\) −1.59971e9 4.93447e8i −0.260635 0.0803952i
\(627\) 4.86660e8 1.23999e9i 0.0788477 0.200901i
\(628\) −8.39390e8 5.72286e8i −0.135240 0.0922051i
\(629\) 1.67073e8 8.04580e7i 0.0267688 0.0128912i
\(630\) 9.94633e8 9.22884e8i 0.158479 0.147047i
\(631\) −5.90677e9 8.90303e8i −0.935939 0.141070i −0.336674 0.941621i \(-0.609302\pi\)
−0.599265 + 0.800551i \(0.704540\pi\)
\(632\) 5.91485e8 + 7.89282e9i 0.0932039 + 1.24372i
\(633\) 7.05195e8 + 1.79681e9i 0.110509 + 0.281572i
\(634\) −1.30639e9 + 5.72366e9i −0.203592 + 0.891993i
\(635\) 2.77562e8 3.70381e9i 0.0430182 0.574038i
\(636\) −8.76357e7 + 2.70320e7i −0.0135077 + 0.00416657i
\(637\) −1.34555e9 6.47983e8i −0.206259 0.0993289i
\(638\) 5.59240e9 + 9.68633e9i 0.852562 + 1.47668i
\(639\) −3.88696e9 + 6.73241e9i −0.589327 + 1.02074i
\(640\) −8.72286e9 + 5.94715e9i −1.31531 + 0.896765i
\(641\) 2.27123e8 + 9.95090e8i 0.0340610 + 0.149231i 0.989099 0.147253i \(-0.0470431\pi\)
−0.955038 + 0.296484i \(0.904186\pi\)
\(642\) 1.29656e9 1.95425e8i 0.193383 0.0291479i
\(643\) −2.24765e9 + 2.81847e9i −0.333419 + 0.418095i −0.920075 0.391742i \(-0.871873\pi\)
0.586656 + 0.809836i \(0.300444\pi\)
\(644\) 1.11711e8 0.0164814
\(645\) 2.84980e9 8.67177e8i 0.418172 0.127247i
\(646\) −2.90735e8 −0.0424311
\(647\) −5.79004e9 + 7.26048e9i −0.840459 + 1.05390i 0.157336 + 0.987545i \(0.449709\pi\)
−0.997796 + 0.0663577i \(0.978862\pi\)
\(648\) 4.14838e9 6.25268e8i 0.598916 0.0902721i
\(649\) 1.48933e9 + 6.52520e9i 0.213863 + 0.936995i
\(650\) −1.17114e9 + 7.98467e8i −0.167267 + 0.114041i
\(651\) 4.41949e7 7.65479e7i 0.00627826 0.0108743i
\(652\) 1.12900e9 + 1.95548e9i 0.159524 + 0.276304i
\(653\) −5.82999e8 2.80758e8i −0.0819354 0.0394580i 0.392467 0.919766i \(-0.371622\pi\)
−0.474403 + 0.880308i \(0.657336\pi\)
\(654\) 2.74951e9 8.48112e8i 0.384356 0.118558i
\(655\) 3.66524e8 4.89093e9i 0.0509634 0.680059i
\(656\) −2.90163e9 + 1.27129e10i −0.401309 + 1.75825i
\(657\) −3.64855e9 9.29636e9i −0.501928 1.27889i
\(658\) −3.12909e7 4.17549e8i −0.00428182 0.0571369i
\(659\) 1.11389e10 + 1.67892e9i 1.51616 + 0.228524i 0.853775 0.520642i \(-0.174307\pi\)
0.662382 + 0.749166i \(0.269545\pi\)
\(660\) −7.60964e8 + 7.06072e8i −0.103029 + 0.0955972i
\(661\) 1.26319e9 6.08322e8i 0.170124 0.0819273i −0.346884 0.937908i \(-0.612760\pi\)
0.517008 + 0.855981i \(0.327046\pi\)
\(662\) 1.14451e10 + 7.80315e9i 1.53327 + 1.04536i
\(663\) 2.00549e7 5.10992e7i 0.00267254 0.00680952i
\(664\) 3.79877e9 + 1.17176e9i 0.503564 + 0.155329i
\(665\) 5.01384e8 + 4.65216e8i 0.0661142 + 0.0613450i
\(666\) 1.45332e9 + 1.82241e9i 0.190635 + 0.239048i
\(667\) 2.30504e9 + 2.89042e9i 0.300772 + 0.377156i
\(668\) 1.23190e9 + 1.14303e9i 0.159903 + 0.148368i
\(669\) −4.67489e9 1.44201e9i −0.603642 0.186199i
\(670\) 2.87982e9 7.33766e9i 0.369916 0.942531i
\(671\) −1.77317e10 1.20893e10i −2.26580 1.54480i
\(672\) 1.50404e8 7.24308e7i 0.0191191 0.00920727i
\(673\) 6.01163e9 5.57797e9i 0.760220 0.705381i −0.201478 0.979493i \(-0.564574\pi\)
0.961698 + 0.274112i \(0.0883839\pi\)
\(674\) 3.93466e9 + 5.93055e8i 0.494992 + 0.0746080i
\(675\) 2.90456e8 + 3.87587e9i 0.0363511 + 0.485072i
\(676\) −5.51002e8 1.40393e9i −0.0686025 0.174796i
\(677\) −1.82299e9 + 7.98706e9i −0.225801 + 0.989297i 0.727223 + 0.686401i \(0.240811\pi\)
−0.953024 + 0.302896i \(0.902047\pi\)
\(678\) 4.52748e7 6.04150e8i 0.00557895 0.0744459i
\(679\) 4.60962e8 1.42188e8i 0.0565094 0.0174308i
\(680\) −8.22740e8 3.96210e8i −0.100342 0.0483220i
\(681\) 1.88126e9 + 3.25845e9i 0.228263 + 0.395363i
\(682\) 1.70167e9 2.94738e9i 0.205414 0.355788i
\(683\) 6.97272e9 4.75392e9i 0.837394 0.570925i −0.0669372 0.997757i \(-0.521323\pi\)
0.904331 + 0.426832i \(0.140370\pi\)
\(684\) −1.34852e8 5.90824e8i −0.0161124 0.0705930i
\(685\) −6.59612e9 + 9.94206e8i −0.784101 + 0.118184i
\(686\) 1.88411e9 2.36260e9i 0.222830 0.279419i
\(687\) −4.94315e8 −0.0581642
\(688\) −9.90243e9 3.77036e7i −1.15926 0.00441390i
\(689\) −4.39290e8 −0.0511663
\(690\) −1.29011e9 + 1.61775e9i −0.149505 + 0.187473i
\(691\) −2.67849e9 + 4.03718e8i −0.308828 + 0.0465484i −0.301628 0.953426i \(-0.597530\pi\)
−0.00720043 + 0.999974i \(0.502292\pi\)
\(692\) 7.08139e8 + 3.10256e9i 0.0812358 + 0.355917i
\(693\) 1.73021e9 1.17963e9i 0.197484 0.134642i
\(694\) 6.77105e9 1.17278e10i 0.768950 1.33186i
\(695\) 3.16397e9 + 5.48016e9i 0.357508 + 0.619222i
\(696\) 2.21409e9 + 1.06625e9i 0.248922 + 0.119875i
\(697\) −1.26261e9 + 3.89463e8i −0.141239 + 0.0435664i
\(698\) 7.05121e8 9.40918e9i 0.0784819 1.04727i
\(699\) 4.17921e8 1.83103e9i 0.0462832 0.202780i
\(700\) −8.56718e7 2.18288e8i −0.00944050 0.0240540i
\(701\) −3.55211e8 4.73996e9i −0.0389469 0.519711i −0.982225 0.187707i \(-0.939894\pi\)
0.943278 0.332004i \(-0.107725\pi\)
\(702\) 1.44638e9 + 2.18006e8i 0.157798 + 0.0237842i
\(703\) −8.61340e8 + 7.99206e8i −0.0935041 + 0.0867592i
\(704\) −9.84924e9 + 4.74314e9i −1.06389 + 0.512344i
\(705\) 1.06263e9 + 7.24492e8i 0.114215 + 0.0778703i
\(706\) 7.03663e9 1.79291e10i 0.752573 1.91752i
\(707\) 2.51174e9 + 7.74769e8i 0.267305 + 0.0824526i
\(708\) −2.67461e8 2.48168e8i −0.0283234 0.0262802i
\(709\) 9.90607e9 + 1.24218e10i 1.04385 + 1.30895i 0.949621 + 0.313400i \(0.101468\pi\)
0.0942319 + 0.995550i \(0.469960\pi\)
\(710\) 1.14823e10 + 1.43983e10i 1.20399 + 1.50976i
\(711\) −8.91967e9 8.27625e9i −0.930690 0.863555i
\(712\) 9.70977e9 + 2.99507e9i 1.00816 + 0.310976i
\(713\) 4.10983e8 1.04717e9i 0.0424630 0.108194i
\(714\) 4.52497e7 + 3.08507e7i 0.00465234 + 0.00317191i
\(715\) −4.47996e9 + 2.15743e9i −0.458356 + 0.220733i
\(716\) −1.26668e9 + 1.17530e9i −0.128965 + 0.119662i
\(717\) 2.68188e9 + 4.04229e8i 0.271721 + 0.0409553i
\(718\) 8.60132e8 + 1.14777e10i 0.0867221 + 1.15723i
\(719\) −2.68613e9 6.84416e9i −0.269511 0.686703i −0.999993 0.00377075i \(-0.998800\pi\)
0.730482 0.682932i \(-0.239296\pi\)
\(720\) 3.08288e9 1.35070e10i 0.307817 1.34863i
\(721\) 1.05904e7 1.41319e8i 0.00105230 0.0140419i
\(722\) −8.82035e9 + 2.72072e9i −0.872179 + 0.269032i
\(723\) −1.83154e9 8.82022e8i −0.180232 0.0867951i
\(724\) 1.27677e9 + 2.21144e9i 0.125034 + 0.216566i
\(725\) 3.88029e9 6.72086e9i 0.378165 0.655000i
\(726\) −4.93159e9 + 3.36230e9i −0.478310 + 0.326106i
\(727\) −1.60204e9 7.01901e9i −0.154634 0.677494i −0.991502 0.130090i \(-0.958473\pi\)
0.836869 0.547404i \(-0.184384\pi\)
\(728\) 3.51713e8 5.30122e7i 0.0337854 0.00509232i
\(729\) −2.70010e9 + 3.38582e9i −0.258127 + 0.323681i
\(730\) −2.36582e10 −2.25087
\(731\) −4.98393e8 8.70882e8i −0.0471912 0.0824610i
\(732\) 1.16990e9 0.110246
\(733\) −4.66576e9 + 5.85067e9i −0.437581 + 0.548709i −0.950904 0.309487i \(-0.899843\pi\)
0.513323 + 0.858195i \(0.328414\pi\)
\(734\) 1.84170e10 2.77592e9i 1.71903 0.259102i
\(735\) 1.01837e9 + 4.46175e9i 0.0946015 + 0.414476i
\(736\) 1.75541e9 1.19682e9i 0.162295 0.110651i
\(737\) 6.08277e9 1.05357e10i 0.559712 0.969450i
\(738\) −8.30445e9 1.43837e10i −0.760526 1.31727i
\(739\) −5.64719e9 2.71954e9i −0.514727 0.247879i 0.158442 0.987368i \(-0.449353\pi\)
−0.673169 + 0.739489i \(0.735067\pi\)
\(740\) 8.74996e8 2.69901e8i 0.0793771 0.0244846i
\(741\) −2.59934e7 + 3.46857e8i −0.00234692 + 0.0313175i
\(742\) 9.75236e7 4.27279e8i 0.00876387 0.0383970i
\(743\) 5.61917e9 + 1.43174e10i 0.502587 + 1.28057i 0.926986 + 0.375096i \(0.122390\pi\)
−0.424399 + 0.905475i \(0.639515\pi\)
\(744\) −5.58803e7 7.45671e8i −0.00497455 0.0663807i
\(745\) −6.53660e9 9.85234e8i −0.579168 0.0872956i
\(746\) −9.60402e9 + 8.91123e9i −0.846968 + 0.785872i
\(747\) −5.50623e9 + 2.65166e9i −0.483317 + 0.232753i
\(748\) 2.88915e8 + 1.96979e8i 0.0252415 + 0.0172093i
\(749\) −3.79613e8 + 9.67238e8i −0.0330107 + 0.0841099i
\(750\) −1.13308e9 3.49509e8i −0.0980723 0.0302513i
\(751\) −6.05156e9 5.61503e9i −0.521348 0.483740i 0.375041 0.927008i \(-0.377629\pi\)
−0.896389 + 0.443268i \(0.853819\pi\)
\(752\) −2.66569e9 3.34267e9i −0.228585