Properties

Label 43.8.g.a.9.9
Level $43$
Weight $8$
Character 43.9
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 9.9
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.72725 - 7.18175i) q^{2} +(9.19934 + 1.38658i) q^{3} +(9.70661 - 42.5274i) q^{4} +(445.851 + 303.976i) q^{5} +(-42.7289 - 74.0086i) q^{6} +(-356.405 + 617.311i) q^{7} +(-1420.36 + 684.008i) q^{8} +(-2007.13 - 619.118i) q^{9} +O(q^{10})\) \(q+(-5.72725 - 7.18175i) q^{2} +(9.19934 + 1.38658i) q^{3} +(9.70661 - 42.5274i) q^{4} +(445.851 + 303.976i) q^{5} +(-42.7289 - 74.0086i) q^{6} +(-356.405 + 617.311i) q^{7} +(-1420.36 + 684.008i) q^{8} +(-2007.13 - 619.118i) q^{9} +(-370.422 - 4942.94i) q^{10} +(644.393 + 2823.27i) q^{11} +(148.262 - 377.765i) q^{12} +(-615.967 + 8219.51i) q^{13} +(6474.59 - 975.887i) q^{14} +(3680.05 + 3414.59i) q^{15} +(8016.55 + 3860.57i) q^{16} +(-25301.9 + 17250.5i) q^{17} +(7049.00 + 17960.6i) q^{18} +(45077.8 - 13904.7i) q^{19} +(17255.0 - 16010.3i) q^{20} +(-4134.64 + 5184.67i) q^{21} +(16585.4 - 20797.5i) q^{22} +(-36582.7 + 33943.8i) q^{23} +(-14014.8 + 4322.99i) q^{24} +(77839.6 + 198332. i) q^{25} +(62558.3 - 42651.5i) q^{26} +(-35937.1 - 17306.4i) q^{27} +(22793.2 + 21149.0i) q^{28} +(154587. - 23300.3i) q^{29} +(3446.13 - 45985.4i) q^{30} +(49661.5 - 126536. i) q^{31} +(26715.1 + 117047. i) q^{32} +(2013.31 + 26865.7i) q^{33} +(268799. + 82913.6i) q^{34} +(-346551. + 166890. i) q^{35} +(-45812.0 + 79348.7i) q^{36} +(-157467. - 272741. i) q^{37} +(-358032. - 244102. i) q^{38} +(-17063.5 + 74760.0i) q^{39} +(-841190. - 126789. i) q^{40} +(-178082. - 223307. i) q^{41} +60915.1 q^{42} +(423568. + 303988. i) q^{43} +126321. q^{44} +(-706686. - 886156. i) q^{45} +(453294. + 68323.0i) q^{46} +(-81470.5 + 356946. i) q^{47} +(68394.0 + 46630.2i) q^{48} +(157723. + 273184. i) q^{49} +(978564. - 1.69492e6i) q^{50} +(-256680. + 123611. i) q^{51} +(343576. + 105979. i) q^{52} +(-8143.56 - 108668. i) q^{53} +(81530.8 + 357210. i) q^{54} +(-570904. + 1.45464e6i) q^{55} +(83976.2 - 1.12059e6i) q^{56} +(433966. - 65409.9i) q^{57} +(-1.05270e6 - 976759. i) q^{58} +(-168215. - 81008.2i) q^{59} +(180935. - 123359. i) q^{60} +(-29093.2 - 74128.3i) q^{61} +(-1.19317e6 + 368044. i) q^{62} +(1.09754e6 - 1.01837e6i) q^{63} +(1.39769e6 - 1.75265e6i) q^{64} +(-2.77317e6 + 3.47744e6i) q^{65} +(181412. - 168326. i) q^{66} +(-2.08697e6 + 643746. i) q^{67} +(488025. + 1.24347e6i) q^{68} +(-383602. + 261535. i) q^{69} +(3.18335e6 + 1.53302e6i) q^{70} +(2.30346e6 + 2.13730e6i) q^{71} +(3.27433e6 - 493525. i) q^{72} +(391954. - 5.23026e6i) q^{73} +(-1.05690e6 + 2.69295e6i) q^{74} +(441070. + 1.93246e6i) q^{75} +(-153777. - 2.05201e6i) q^{76} +(-1.97250e6 - 608436. i) q^{77} +(634634. - 305624. i) q^{78} +(-728587. + 1.26195e6i) q^{79} +(2.40067e6 + 4.15808e6i) q^{80} +(3.48888e6 + 2.37868e6i) q^{81} +(-583818. + 2.55787e6i) q^{82} +(3.54221e6 + 533903. i) q^{83} +(180357. + 226161. i) q^{84} -1.65246e7 q^{85} +(-242714. - 4.78297e6i) q^{86} +1.45441e6 q^{87} +(-2.84641e6 - 3.56928e6i) q^{88} +(3.86183e6 + 582077. i) q^{89} +(-2.31678e6 + 1.01505e7i) q^{90} +(-4.85446e6 - 3.30972e6i) q^{91} +(1.08845e6 + 1.88525e6i) q^{92} +(632305. - 1.09518e6i) q^{93} +(3.03009e6 - 1.45922e6i) q^{94} +(2.43247e7 + 7.50318e6i) q^{95} +(83467.3 + 1.11379e6i) q^{96} +(-3.21483e6 - 1.40851e7i) q^{97} +(1.05862e6 - 2.69732e6i) q^{98} +(454557. - 6.06564e6i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.72725 7.18175i −0.506222 0.634783i 0.461398 0.887193i \(-0.347348\pi\)
−0.967620 + 0.252411i \(0.918777\pi\)
\(3\) 9.19934 + 1.38658i 0.196713 + 0.0296497i 0.246659 0.969102i \(-0.420667\pi\)
−0.0499468 + 0.998752i \(0.515905\pi\)
\(4\) 9.70661 42.5274i 0.0758329 0.332246i
\(5\) 445.851 + 303.976i 1.59513 + 1.08754i 0.944683 + 0.327984i \(0.106369\pi\)
0.650443 + 0.759555i \(0.274583\pi\)
\(6\) −42.7289 74.0086i −0.0807593 0.139879i
\(7\) −356.405 + 617.311i −0.392736 + 0.680238i −0.992809 0.119707i \(-0.961805\pi\)
0.600074 + 0.799945i \(0.295138\pi\)
\(8\) −1420.36 + 684.008i −0.980804 + 0.472331i
\(9\) −2007.13 619.118i −0.917756 0.283090i
\(10\) −370.422 4942.94i −0.117138 1.56310i
\(11\) 644.393 + 2823.27i 0.145974 + 0.639555i 0.993979 + 0.109567i \(0.0349465\pi\)
−0.848005 + 0.529988i \(0.822196\pi\)
\(12\) 148.262 377.765i 0.0247683 0.0631085i
\(13\) −615.967 + 8219.51i −0.0777600 + 1.03763i 0.812733 + 0.582637i \(0.197979\pi\)
−0.890493 + 0.454998i \(0.849640\pi\)
\(14\) 6474.59 975.887i 0.630615 0.0950499i
\(15\) 3680.05 + 3414.59i 0.281536 + 0.261228i
\(16\) 8016.55 + 3860.57i 0.489291 + 0.235630i
\(17\) −25301.9 + 17250.5i −1.24906 + 0.851591i −0.993347 0.115163i \(-0.963261\pi\)
−0.255708 + 0.966754i \(0.582309\pi\)
\(18\) 7049.00 + 17960.6i 0.284888 + 0.725882i
\(19\) 45077.8 13904.7i 1.50774 0.465075i 0.572741 0.819736i \(-0.305880\pi\)
0.934995 + 0.354661i \(0.115404\pi\)
\(20\) 17255.0 16010.3i 0.482293 0.447503i
\(21\) −4134.64 + 5184.67i −0.0974249 + 0.122167i
\(22\) 16585.4 20797.5i 0.332083 0.416419i
\(23\) −36582.7 + 33943.8i −0.626943 + 0.581718i −0.928318 0.371788i \(-0.878745\pi\)
0.301375 + 0.953506i \(0.402554\pi\)
\(24\) −14014.8 + 4322.99i −0.206941 + 0.0638329i
\(25\) 77839.6 + 198332.i 0.996347 + 2.53865i
\(26\) 62558.3 42651.5i 0.698036 0.475913i
\(27\) −35937.1 17306.4i −0.351375 0.169213i
\(28\) 22793.2 + 21149.0i 0.196224 + 0.182069i
\(29\) 154587. 23300.3i 1.17701 0.177406i 0.468733 0.883340i \(-0.344711\pi\)
0.708278 + 0.705934i \(0.249473\pi\)
\(30\) 3446.13 45985.4i 0.0233028 0.310954i
\(31\) 49661.5 126536.i 0.299402 0.762863i −0.699437 0.714694i \(-0.746566\pi\)
0.998839 0.0481694i \(-0.0153387\pi\)
\(32\) 26715.1 + 117047.i 0.144123 + 0.631442i
\(33\) 2013.31 + 26865.7i 0.00975240 + 0.130137i
\(34\) 268799. + 82913.6i 1.17287 + 0.361784i
\(35\) −346551. + 166890.i −1.36625 + 0.657950i
\(36\) −45812.0 + 79348.7i −0.163652 + 0.283453i
\(37\) −157467. 272741.i −0.511074 0.885206i −0.999918 0.0128348i \(-0.995914\pi\)
0.488844 0.872371i \(-0.337419\pi\)
\(38\) −358032. 244102.i −1.05847 0.721654i
\(39\) −17063.5 + 74760.0i −0.0460619 + 0.201810i
\(40\) −841190. 126789.i −2.07819 0.313236i
\(41\) −178082. 223307.i −0.403530 0.506010i 0.537998 0.842946i \(-0.319181\pi\)
−0.941528 + 0.336936i \(0.890609\pi\)
\(42\) 60915.1 0.126868
\(43\) 423568. + 303988.i 0.812425 + 0.583065i
\(44\) 126321. 0.223559
\(45\) −706686. 886156.i −1.15607 1.44966i
\(46\) 453294. + 68323.0i 0.686637 + 0.103494i
\(47\) −81470.5 + 356946.i −0.114461 + 0.501487i 0.884901 + 0.465779i \(0.154226\pi\)
−0.999362 + 0.0357080i \(0.988631\pi\)
\(48\) 68394.0 + 46630.2i 0.0892634 + 0.0608588i
\(49\) 157723. + 273184.i 0.191518 + 0.331718i
\(50\) 978564. 1.69492e6i 1.10712 1.91759i
\(51\) −256680. + 123611.i −0.270954 + 0.130485i
\(52\) 343576. + 105979.i 0.338853 + 0.104522i
\(53\) −8143.56 108668.i −0.00751362 0.100262i 0.992186 0.124767i \(-0.0398182\pi\)
−0.999700 + 0.0245045i \(0.992199\pi\)
\(54\) 81530.8 + 357210.i 0.0704601 + 0.308706i
\(55\) −570904. + 1.45464e6i −0.462694 + 1.17892i
\(56\) 83976.2 1.12059e6i 0.0638996 0.852681i
\(57\) 433966. 65409.9i 0.310380 0.0467823i
\(58\) −1.05270e6 976759.i −0.708443 0.657339i
\(59\) −168215. 81008.2i −0.106631 0.0513508i 0.379808 0.925065i \(-0.375990\pi\)
−0.486439 + 0.873715i \(0.661704\pi\)
\(60\) 180935. 123359.i 0.108141 0.0737296i
\(61\) −29093.2 74128.3i −0.0164111 0.0418147i 0.922433 0.386156i \(-0.126197\pi\)
−0.938844 + 0.344341i \(0.888102\pi\)
\(62\) −1.19317e6 + 368044.i −0.635816 + 0.196123i
\(63\) 1.09754e6 1.01837e6i 0.553004 0.513113i
\(64\) 1.39769e6 1.75265e6i 0.666471 0.835728i
\(65\) −2.77317e6 + 3.47744e6i −1.25250 + 1.57059i
\(66\) 181412. 168326.i 0.0776717 0.0720688i
\(67\) −2.08697e6 + 643746.i −0.847725 + 0.261488i −0.688034 0.725679i \(-0.741526\pi\)
−0.159691 + 0.987167i \(0.551050\pi\)
\(68\) 488025. + 1.24347e6i 0.188218 + 0.479572i
\(69\) −383602. + 261535.i −0.140575 + 0.0958426i
\(70\) 3.18335e6 + 1.53302e6i 1.10928 + 0.534201i
\(71\) 2.30346e6 + 2.13730e6i 0.763796 + 0.708699i 0.962476 0.271365i \(-0.0874751\pi\)
−0.198680 + 0.980064i \(0.563666\pi\)
\(72\) 3.27433e6 493525.i 1.03385 0.155828i
\(73\) 391954. 5.23026e6i 0.117925 1.57360i −0.553707 0.832711i \(-0.686787\pi\)
0.671632 0.740885i \(-0.265594\pi\)
\(74\) −1.05690e6 + 2.69295e6i −0.303197 + 0.772532i
\(75\) 441070. + 1.93246e6i 0.120724 + 0.528926i
\(76\) −153777. 2.05201e6i −0.0401831 0.536207i
\(77\) −1.97250e6 608436.i −0.492379 0.151879i
\(78\) 634634. 305624.i 0.151423 0.0729216i
\(79\) −728587. + 1.26195e6i −0.166260 + 0.287970i −0.937102 0.349056i \(-0.886502\pi\)
0.770842 + 0.637026i \(0.219836\pi\)
\(80\) 2.40067e6 + 4.15808e6i 0.524224 + 0.907983i
\(81\) 3.48888e6 + 2.37868e6i 0.729438 + 0.497322i
\(82\) −583818. + 2.55787e6i −0.116931 + 0.512307i
\(83\) 3.54221e6 + 533903.i 0.679989 + 0.102492i 0.479949 0.877296i \(-0.340655\pi\)
0.200039 + 0.979788i \(0.435893\pi\)
\(84\) 180357. + 226161.i 0.0332014 + 0.0416333i
\(85\) −1.65246e7 −2.91854
\(86\) −242714. 4.78297e6i −0.0411481 0.810874i
\(87\) 1.45441e6 0.236793
\(88\) −2.84641e6 3.56928e6i −0.445254 0.558331i
\(89\) 3.86183e6 + 582077.i 0.580669 + 0.0875217i 0.432807 0.901486i \(-0.357523\pi\)
0.147861 + 0.989008i \(0.452761\pi\)
\(90\) −2.31678e6 + 1.01505e7i −0.334993 + 1.46770i
\(91\) −4.85446e6 3.30972e6i −0.675299 0.460411i
\(92\) 1.08845e6 + 1.88525e6i 0.145730 + 0.252412i
\(93\) 632305. 1.09518e6i 0.0815148 0.141188i
\(94\) 3.03009e6 1.45922e6i 0.376278 0.181206i
\(95\) 2.43247e7 + 7.50318e6i 2.91082 + 0.897868i
\(96\) 83467.3 + 1.11379e6i 0.00962869 + 0.128486i
\(97\) −3.21483e6 1.40851e7i −0.357649 1.56696i −0.759032 0.651054i \(-0.774327\pi\)
0.401382 0.915911i \(-0.368530\pi\)
\(98\) 1.05862e6 2.69732e6i 0.113619 0.289495i
\(99\) 454557. 6.06564e6i 0.0470831 0.628280i
\(100\) 9.19011e6 1.38519e6i 0.919011 0.138519i
\(101\) 2.29742e6 + 2.13169e6i 0.221878 + 0.205873i 0.783278 0.621672i \(-0.213546\pi\)
−0.561399 + 0.827545i \(0.689737\pi\)
\(102\) 2.35781e6 + 1.13546e6i 0.219993 + 0.105943i
\(103\) −1.69238e7 + 1.15385e7i −1.52605 + 1.04044i −0.546921 + 0.837185i \(0.684200\pi\)
−0.979126 + 0.203256i \(0.934848\pi\)
\(104\) −4.74732e6 1.20960e7i −0.413839 1.05444i
\(105\) −3.41945e6 + 1.05476e6i −0.288266 + 0.0889184i
\(106\) −733788. + 680856.i −0.0598412 + 0.0555245i
\(107\) −217852. + 273178.i −0.0171917 + 0.0215577i −0.790353 0.612652i \(-0.790103\pi\)
0.773161 + 0.634209i \(0.218674\pi\)
\(108\) −1.08483e6 + 1.36033e6i −0.0828661 + 0.103911i
\(109\) 1.08421e6 1.00600e6i 0.0801901 0.0744055i −0.639059 0.769157i \(-0.720676\pi\)
0.719250 + 0.694752i \(0.244486\pi\)
\(110\) 1.37166e7 4.23100e6i 0.982587 0.303088i
\(111\) −1.07042e6 2.72738e6i −0.0742887 0.189284i
\(112\) −5.24030e6 + 3.57278e6i −0.352447 + 0.240294i
\(113\) −2.02967e7 9.77435e6i −1.32327 0.637255i −0.367135 0.930168i \(-0.619661\pi\)
−0.956139 + 0.292912i \(0.905376\pi\)
\(114\) −2.95519e6 2.74202e6i −0.186818 0.173342i
\(115\) −2.66285e7 + 4.01361e6i −1.63269 + 0.246089i
\(116\) 509617. 6.80036e6i 0.0303138 0.404510i
\(117\) 6.32518e6 1.61163e7i 0.365109 0.930282i
\(118\) 381631. + 1.67203e6i 0.0213824 + 0.0936824i
\(119\) −1.63123e6 2.17673e7i −0.0887364 1.18410i
\(120\) −7.56259e6 2.33275e6i −0.399518 0.123235i
\(121\) 1.00017e7 4.81657e6i 0.513246 0.247166i
\(122\) −365746. + 633491.i −0.0182356 + 0.0315850i
\(123\) −1.32860e6 2.30120e6i −0.0643764 0.111503i
\(124\) −4.89919e6 3.34021e6i −0.230753 0.157325i
\(125\) −1.62024e7 + 7.09875e7i −0.741986 + 3.25085i
\(126\) −1.35995e7 2.04980e6i −0.605658 0.0912883i
\(127\) −1.82349e7 2.28659e7i −0.789935 0.990547i −0.999918 0.0128420i \(-0.995912\pi\)
0.209983 0.977705i \(-0.432659\pi\)
\(128\) −5.22475e6 −0.220207
\(129\) 3.47504e6 + 3.38380e6i 0.142527 + 0.138784i
\(130\) 4.08567e7 1.63103
\(131\) 4.90233e6 + 6.14733e6i 0.190526 + 0.238912i 0.867915 0.496713i \(-0.165460\pi\)
−0.677389 + 0.735625i \(0.736889\pi\)
\(132\) 1.16207e6 + 175154.i 0.0439769 + 0.00662845i
\(133\) −7.48244e6 + 3.27827e7i −0.275780 + 1.20827i
\(134\) 1.65758e7 + 1.13012e7i 0.595125 + 0.405750i
\(135\) −1.07619e7 1.86401e7i −0.376461 0.652050i
\(136\) 2.41382e7 4.18086e7i 0.822846 1.42521i
\(137\) 2.84199e7 1.36863e7i 0.944280 0.454741i 0.102603 0.994722i \(-0.467283\pi\)
0.841677 + 0.539981i \(0.181569\pi\)
\(138\) 4.07527e6 + 1.25705e6i 0.132002 + 0.0407171i
\(139\) 1.43059e6 + 1.90899e7i 0.0451819 + 0.602911i 0.973138 + 0.230222i \(0.0739451\pi\)
−0.927956 + 0.372689i \(0.878436\pi\)
\(140\) 3.73358e6 + 1.63579e7i 0.114995 + 0.503824i
\(141\) −1.24441e6 + 3.17070e6i −0.0373849 + 0.0952551i
\(142\) 2.15705e6 2.87838e7i 0.0632194 0.843604i
\(143\) −2.36028e7 + 3.55756e6i −0.674976 + 0.101736i
\(144\) −1.37001e7 1.27119e7i −0.382345 0.354765i
\(145\) 7.60056e7 + 3.66024e7i 2.07042 + 0.997060i
\(146\) −3.98072e7 + 2.71401e7i −1.05859 + 0.721733i
\(147\) 1.07216e6 + 2.73181e6i 0.0278386 + 0.0709316i
\(148\) −1.31275e7 + 4.04928e6i −0.332862 + 0.102674i
\(149\) −1.37657e7 + 1.27727e7i −0.340915 + 0.316323i −0.831986 0.554797i \(-0.812796\pi\)
0.491071 + 0.871119i \(0.336606\pi\)
\(150\) 1.13523e7 1.42353e7i 0.274640 0.344388i
\(151\) −2.38184e6 + 2.98673e6i −0.0562980 + 0.0705955i −0.809183 0.587556i \(-0.800090\pi\)
0.752885 + 0.658152i \(0.228662\pi\)
\(152\) −5.45157e7 + 5.05832e7i −1.25913 + 1.16830i
\(153\) 6.14643e7 1.89592e7i 1.38741 0.427958i
\(154\) 6.92738e6 + 1.76507e7i 0.152843 + 0.389438i
\(155\) 6.06055e7 4.13201e7i 1.30723 0.891252i
\(156\) 3.01372e6 + 1.45133e6i 0.0635576 + 0.0306077i
\(157\) −1.52727e7 1.41710e7i −0.314969 0.292248i 0.506807 0.862060i \(-0.330826\pi\)
−0.821775 + 0.569812i \(0.807016\pi\)
\(158\) 1.32358e7 1.99498e6i 0.266963 0.0402381i
\(159\) 75761.6 1.01097e6i 0.00149472 0.0199456i
\(160\) −2.36684e7 + 6.03061e7i −0.456824 + 1.16397i
\(161\) −7.91562e6 3.46806e7i −0.149484 0.654932i
\(162\) −2.89863e6 3.86795e7i −0.0535661 0.714790i
\(163\) 1.01656e8 + 3.13567e7i 1.83855 + 0.567118i 0.999742 + 0.0226944i \(0.00722448\pi\)
0.838810 + 0.544424i \(0.183252\pi\)
\(164\) −1.12253e7 + 5.40580e6i −0.198721 + 0.0956988i
\(165\) −7.26891e6 + 1.25901e7i −0.125972 + 0.218191i
\(166\) −1.64528e7 2.84971e7i −0.279165 0.483529i
\(167\) 7.01069e7 + 4.77981e7i 1.16480 + 0.794150i 0.981978 0.188995i \(-0.0605230\pi\)
0.182826 + 0.983145i \(0.441475\pi\)
\(168\) 2.32630e6 1.01922e7i 0.0378516 0.165839i
\(169\) −5.13332e6 773723.i −0.0818078 0.0123305i
\(170\) 9.46407e7 + 1.18676e8i 1.47743 + 1.85264i
\(171\) −9.90858e7 −1.51539
\(172\) 1.70392e7 1.50626e7i 0.255329 0.225709i
\(173\) 5.18097e7 0.760763 0.380382 0.924830i \(-0.375793\pi\)
0.380382 + 0.924830i \(0.375793\pi\)
\(174\) −8.32976e6 1.04452e7i −0.119870 0.150312i
\(175\) −1.50175e8 2.26352e7i −2.11819 0.319265i
\(176\) −5.73362e6 + 2.51206e7i −0.0792746 + 0.347325i
\(177\) −1.43515e6 978466.i −0.0194531 0.0132629i
\(178\) −1.79373e7 3.10684e7i −0.238390 0.412904i
\(179\) −1.40117e7 + 2.42689e7i −0.182601 + 0.316275i −0.942766 0.333456i \(-0.891785\pi\)
0.760164 + 0.649731i \(0.225118\pi\)
\(180\) −4.45454e7 + 2.14520e7i −0.569311 + 0.274166i
\(181\) −5.28286e7 1.62955e7i −0.662208 0.204264i −0.0546087 0.998508i \(-0.517391\pi\)
−0.607599 + 0.794244i \(0.707867\pi\)
\(182\) 4.03318e6 + 5.38191e7i 0.0495905 + 0.661739i
\(183\) −164854. 722271.i −0.00198847 0.00871207i
\(184\) 2.87426e7 7.32351e7i 0.340145 0.866676i
\(185\) 1.26999e7 1.69468e8i 0.147468 1.96783i
\(186\) −1.14867e7 + 1.73134e6i −0.130888 + 0.0197282i
\(187\) −6.50073e7 6.03179e7i −0.726970 0.674529i
\(188\) 1.43892e7 + 6.92946e6i 0.157937 + 0.0760584i
\(189\) 2.34916e7 1.60163e7i 0.253102 0.172562i
\(190\) −8.54278e7 2.17666e8i −0.903570 2.30226i
\(191\) −2.00032e6 + 617018.i −0.0207722 + 0.00640739i −0.305124 0.952313i \(-0.598698\pi\)
0.284352 + 0.958720i \(0.408222\pi\)
\(192\) 1.52880e7 1.41852e7i 0.155882 0.144638i
\(193\) −4.86420e7 + 6.09951e7i −0.487036 + 0.610723i −0.963250 0.268606i \(-0.913437\pi\)
0.476215 + 0.879329i \(0.342009\pi\)
\(194\) −8.27435e7 + 1.03757e8i −0.813632 + 1.02026i
\(195\) −3.03331e7 + 2.81450e7i −0.292951 + 0.271819i
\(196\) 1.31488e7 4.05586e6i 0.124735 0.0384757i
\(197\) 1.16031e7 + 2.95643e7i 0.108129 + 0.275509i 0.974689 0.223564i \(-0.0717691\pi\)
−0.866560 + 0.499073i \(0.833674\pi\)
\(198\) −4.61652e7 + 3.14749e7i −0.422656 + 0.288162i
\(199\) 1.65351e8 + 7.96287e7i 1.48737 + 0.716282i 0.988616 0.150459i \(-0.0480753\pi\)
0.498758 + 0.866741i \(0.333790\pi\)
\(200\) −2.46221e8 2.28459e8i −2.17630 2.01931i
\(201\) −2.00914e7 + 3.02829e6i −0.174511 + 0.0263033i
\(202\) 2.15138e6 2.87082e7i 0.0183649 0.245062i
\(203\) −4.07121e7 + 1.03733e8i −0.341576 + 0.870321i
\(204\) 2.76535e6 + 1.21158e7i 0.0228057 + 0.0999184i
\(205\) −1.15178e7 1.53694e8i −0.0933752 1.24600i
\(206\) 1.79793e8 + 5.54588e7i 1.43297 + 0.442013i
\(207\) 9.44415e7 4.54806e7i 0.740059 0.356394i
\(208\) −3.66699e7 + 6.35141e7i −0.282545 + 0.489383i
\(209\) 6.83045e7 + 1.18307e8i 0.517532 + 0.896392i
\(210\) 2.71591e7 + 1.85168e7i 0.202371 + 0.137974i
\(211\) 4.07726e7 1.78636e8i 0.298799 1.30912i −0.573119 0.819472i \(-0.694267\pi\)
0.871918 0.489652i \(-0.162876\pi\)
\(212\) −4.70043e6 708476.i −0.0338815 0.00510681i
\(213\) 1.82268e7 + 2.28557e7i 0.129236 + 0.162056i
\(214\) 3.20959e6 0.0223873
\(215\) 9.64431e7 + 2.64288e8i 0.661815 + 1.81361i
\(216\) 6.28813e7 0.424554
\(217\) 6.04122e7 + 7.57545e7i 0.401343 + 0.503268i
\(218\) −1.34344e7 2.02491e6i −0.0878254 0.0132375i
\(219\) 1.08579e7 4.75715e7i 0.0698539 0.306050i
\(220\) 5.63206e7 + 3.83987e7i 0.356605 + 0.243129i
\(221\) −1.26206e8 2.18595e8i −0.786514 1.36228i
\(222\) −1.34568e7 + 2.33078e7i −0.0825479 + 0.142977i
\(223\) 1.68282e8 8.10404e7i 1.01618 0.489367i 0.149781 0.988719i \(-0.452143\pi\)
0.866399 + 0.499352i \(0.166429\pi\)
\(224\) −8.17755e7 2.52244e7i −0.486133 0.149952i
\(225\) −3.34434e7 4.46271e8i −0.195736 2.61192i
\(226\) 4.60471e7 + 2.01746e8i 0.265352 + 1.16258i
\(227\) 2.89622e7 7.37945e7i 0.164339 0.418730i −0.824854 0.565345i \(-0.808743\pi\)
0.989194 + 0.146616i \(0.0468381\pi\)
\(228\) 1.43063e6 1.90904e7i 0.00799382 0.106670i
\(229\) −1.80499e8 + 2.72058e7i −0.993229 + 0.149705i −0.625497 0.780227i \(-0.715104\pi\)
−0.367732 + 0.929932i \(0.619866\pi\)
\(230\) 1.81333e8 + 1.68252e8i 0.982719 + 0.911830i
\(231\) −1.73021e7 8.33224e6i −0.0923541 0.0444754i
\(232\) −2.03631e8 + 1.38833e8i −1.07062 + 0.729939i
\(233\) 1.91332e7 + 4.87507e7i 0.0990929 + 0.252485i 0.971820 0.235723i \(-0.0757460\pi\)
−0.872727 + 0.488208i \(0.837651\pi\)
\(234\) −1.51969e8 + 4.68762e7i −0.775353 + 0.239165i
\(235\) −1.44827e8 + 1.34380e8i −0.727966 + 0.675454i
\(236\) −5.07787e6 + 6.36745e6i −0.0251472 + 0.0315336i
\(237\) −8.45231e6 + 1.05989e7i −0.0412436 + 0.0517178i
\(238\) −1.46985e8 + 1.36382e8i −0.706729 + 0.655749i
\(239\) 1.15235e8 3.55453e7i 0.546000 0.168419i −0.00947034 0.999955i \(-0.503015\pi\)
0.555470 + 0.831537i \(0.312538\pi\)
\(240\) 1.63191e7 + 4.15803e7i 0.0762002 + 0.194155i
\(241\) 2.68940e8 1.83360e8i 1.23764 0.843810i 0.245558 0.969382i \(-0.421029\pi\)
0.992085 + 0.125571i \(0.0400764\pi\)
\(242\) −9.18737e7 4.42441e7i −0.416714 0.200679i
\(243\) 9.27437e7 + 8.60536e7i 0.414632 + 0.384722i
\(244\) −3.43488e6 + 517725.i −0.0151373 + 0.00228158i
\(245\) −1.27205e7 + 1.69744e8i −0.0552617 + 0.737416i
\(246\) −8.91743e6 + 2.27212e7i −0.0381915 + 0.0973104i
\(247\) 8.65231e7 + 3.79083e8i 0.365336 + 1.60064i
\(248\) 1.60142e7 + 2.13695e8i 0.0666690 + 0.889636i
\(249\) 3.18457e7 + 9.82311e6i 0.130724 + 0.0403229i
\(250\) 6.02610e8 2.90202e8i 2.43919 1.17465i
\(251\) 7.52805e7 1.30390e8i 0.300486 0.520458i −0.675760 0.737122i \(-0.736184\pi\)
0.976246 + 0.216664i \(0.0695177\pi\)
\(252\) −3.26552e7 5.65605e7i −0.128544 0.222644i
\(253\) −1.19406e8 8.14097e7i −0.463558 0.316049i
\(254\) −5.97809e7 + 2.61917e8i −0.228899 + 1.00287i
\(255\) −1.52016e8 2.29127e7i −0.574114 0.0865337i
\(256\) −1.48981e8 1.86816e8i −0.554997 0.695944i
\(257\) −1.20519e8 −0.442884 −0.221442 0.975174i \(-0.571076\pi\)
−0.221442 + 0.975174i \(0.571076\pi\)
\(258\) 4.39916e6 4.43368e7i 0.0159478 0.160729i
\(259\) 2.24488e8 0.802868
\(260\) 1.20969e8 + 1.51690e8i 0.426841 + 0.535242i
\(261\) −3.24703e8 4.89410e7i −1.13043 0.170385i
\(262\) 1.60717e7 7.04146e7i 0.0552086 0.241885i
\(263\) 1.93577e8 + 1.31979e8i 0.656159 + 0.447361i 0.845087 0.534630i \(-0.179549\pi\)
−0.188928 + 0.981991i \(0.560501\pi\)
\(264\) −2.12360e7 3.67818e7i −0.0710328 0.123032i
\(265\) 2.94018e7 5.09254e7i 0.0970539 0.168102i
\(266\) 2.78291e8 1.34018e8i 0.906595 0.436593i
\(267\) 3.47192e7 + 1.07095e7i 0.111630 + 0.0344333i
\(268\) 7.11943e6 + 9.50021e7i 0.0225930 + 0.301482i
\(269\) −2.00797e7 8.79750e7i −0.0628962 0.275566i 0.933694 0.358071i \(-0.116565\pi\)
−0.996591 + 0.0825044i \(0.973708\pi\)
\(270\) −7.22327e7 + 1.84046e8i −0.223337 + 0.569053i
\(271\) −1.21791e7 + 1.62519e8i −0.0371727 + 0.496035i 0.947283 + 0.320399i \(0.103817\pi\)
−0.984455 + 0.175636i \(0.943802\pi\)
\(272\) −2.69431e8 + 4.06101e7i −0.811812 + 0.122361i
\(273\) −4.00687e7 3.71783e7i −0.119189 0.110591i
\(274\) −2.61060e8 1.25720e8i −0.766677 0.369212i
\(275\) −5.09786e8 + 3.47566e8i −1.47817 + 1.00780i
\(276\) 7.39896e6 + 1.88522e7i 0.0211831 + 0.0539736i
\(277\) −2.97260e8 + 9.16926e7i −0.840345 + 0.259212i −0.684904 0.728633i \(-0.740156\pi\)
−0.155441 + 0.987845i \(0.549680\pi\)
\(278\) 1.28906e8 1.19607e8i 0.359845 0.333887i
\(279\) −1.78018e8 + 2.23227e8i −0.490737 + 0.615365i
\(280\) 3.78072e8 4.74088e8i 1.02925 1.29064i
\(281\) 5.87532e7 5.45150e7i 0.157965 0.146570i −0.597231 0.802069i \(-0.703732\pi\)
0.755195 + 0.655500i \(0.227542\pi\)
\(282\) 2.98982e7 9.22237e6i 0.0793913 0.0244890i
\(283\) 1.68469e8 + 4.29251e8i 0.441842 + 1.12579i 0.962320 + 0.271919i \(0.0876584\pi\)
−0.520478 + 0.853875i \(0.674246\pi\)
\(284\) 1.13253e8 7.72145e7i 0.293383 0.200025i
\(285\) 2.13368e8 + 1.02752e8i 0.545973 + 0.262927i
\(286\) 1.60729e8 + 1.49135e8i 0.406268 + 0.376962i
\(287\) 2.01319e8 3.03440e7i 0.502688 0.0757680i
\(288\) 1.88449e7 2.51468e8i 0.0464858 0.620310i
\(289\) 1.92691e8 4.90968e8i 0.469590 1.19650i
\(290\) −1.72434e8 7.55484e8i −0.415175 1.81900i
\(291\) −1.00443e7 1.34031e8i −0.0238942 0.318846i
\(292\) −2.18625e8 6.74369e7i −0.513878 0.158510i
\(293\) −4.42110e7 + 2.12909e7i −0.102682 + 0.0494490i −0.484520 0.874780i \(-0.661006\pi\)
0.381838 + 0.924229i \(0.375291\pi\)
\(294\) 1.34787e7 2.33457e7i 0.0309336 0.0535786i
\(295\) −5.03745e7 8.72511e7i −0.114244 0.197876i
\(296\) 4.10216e8 + 2.79681e8i 0.919374 + 0.626818i
\(297\) 2.57031e7 1.12612e8i 0.0569295 0.249424i
\(298\) 1.70570e8 + 2.57092e7i 0.373375 + 0.0562772i
\(299\) −2.56467e8 3.21600e8i −0.554860 0.695772i
\(300\) 8.64637e7 0.184888
\(301\) −3.38617e8 + 1.53130e8i −0.715691 + 0.323652i
\(302\) 3.50913e7 0.0733121
\(303\) 1.81790e7 + 2.27957e7i 0.0375422 + 0.0470764i
\(304\) 4.15048e8 + 6.25585e7i 0.847308 + 0.127711i
\(305\) 9.56200e6 4.18938e7i 0.0192974 0.0845475i
\(306\) −4.88182e8 3.32837e8i −0.973996 0.664059i
\(307\) −3.84803e7 6.66498e7i −0.0759021 0.131466i 0.825576 0.564291i \(-0.190850\pi\)
−0.901478 + 0.432824i \(0.857517\pi\)
\(308\) −4.50215e7 + 7.79796e7i −0.0877996 + 0.152073i
\(309\) −1.71687e8 + 8.26800e7i −0.331041 + 0.159421i
\(310\) −6.43854e8 1.98603e8i −1.22750 0.378633i
\(311\) 2.42024e7 + 3.22958e8i 0.0456243 + 0.608814i 0.972418 + 0.233244i \(0.0749341\pi\)
−0.926794 + 0.375570i \(0.877447\pi\)
\(312\) −2.69002e7 1.17857e8i −0.0501435 0.219693i
\(313\) 1.75495e7 4.47153e7i 0.0323488 0.0824235i −0.913787 0.406195i \(-0.866856\pi\)
0.946135 + 0.323771i \(0.104951\pi\)
\(314\) −1.43019e7 + 1.90846e8i −0.0260699 + 0.347879i
\(315\) 7.98899e8 1.20415e8i 1.44014 0.217066i
\(316\) 4.65954e7 + 4.32342e7i 0.0830688 + 0.0770766i
\(317\) −5.79239e8 2.78947e8i −1.02129 0.491829i −0.153181 0.988198i \(-0.548952\pi\)
−0.868111 + 0.496370i \(0.834666\pi\)
\(318\) −7.69443e6 + 5.24597e6i −0.0134178 + 0.00914810i
\(319\) 1.65398e8 + 4.21427e8i 0.285274 + 0.726867i
\(320\) 1.15593e9 3.56556e8i 1.97199 0.608279i
\(321\) −2.38288e6 + 2.21099e6i −0.00402100 + 0.00373094i
\(322\) −2.03732e8 + 2.55472e8i −0.340067 + 0.426431i
\(323\) −9.00691e8 + 1.12943e9i −1.48719 + 1.86488i
\(324\) 1.35024e8 1.25284e8i 0.220548 0.204639i
\(325\) −1.67814e9 + 5.17638e8i −2.71167 + 0.836439i
\(326\) −3.57013e8 9.09655e8i −0.570719 1.45417i
\(327\) 1.13689e7 7.75120e6i 0.0179805 0.0122589i
\(328\) 4.05683e8 + 1.95367e8i 0.634788 + 0.305698i
\(329\) −1.91310e8 1.77510e8i −0.296177 0.274812i
\(330\) 1.32050e8 1.99033e7i 0.202274 0.0304879i
\(331\) 7.16134e7 9.55614e8i 0.108542 1.44839i −0.631265 0.775567i \(-0.717464\pi\)
0.739807 0.672820i \(-0.234917\pi\)
\(332\) 5.70884e7 1.45459e8i 0.0856179 0.218151i
\(333\) 1.47198e8 + 6.44918e8i 0.218448 + 0.957083i
\(334\) −5.82462e7 7.77241e8i −0.0855372 1.14141i
\(335\) −1.12616e9 3.47375e8i −1.63661 0.504826i
\(336\) −5.31613e7 + 2.56011e7i −0.0764554 + 0.0368190i
\(337\) 4.80829e8 8.32820e8i 0.684362 1.18535i −0.289274 0.957246i \(-0.593414\pi\)
0.973637 0.228104i \(-0.0732526\pi\)
\(338\) 2.38431e7 + 4.12975e7i 0.0335857 + 0.0581722i
\(339\) −1.73163e8 1.18061e8i −0.241410 0.164591i
\(340\) −1.60398e8 + 7.02750e8i −0.221321 + 0.969672i
\(341\) 3.89246e8 + 5.86694e7i 0.531598 + 0.0801256i
\(342\) 5.67489e8 + 7.11609e8i 0.767125 + 0.961945i
\(343\) −8.11882e8 −1.08633
\(344\) −8.09548e8 1.42048e8i −1.07223 0.188140i
\(345\) −2.50530e8 −0.328468
\(346\) −2.96727e8 3.72084e8i −0.385115 0.482919i
\(347\) 1.19269e9 + 1.79770e8i 1.53241 + 0.230974i 0.860421 0.509584i \(-0.170201\pi\)
0.671992 + 0.740558i \(0.265439\pi\)
\(348\) 1.41174e7 6.18522e7i 0.0179567 0.0786734i
\(349\) 2.12735e8 + 1.45040e8i 0.267886 + 0.182642i 0.689812 0.723989i \(-0.257693\pi\)
−0.421925 + 0.906631i \(0.638646\pi\)
\(350\) 6.97529e8 + 1.20816e9i 0.869609 + 1.50621i
\(351\) 1.64386e8 2.84726e8i 0.202904 0.351440i
\(352\) −3.13239e8 + 1.50848e8i −0.382804 + 0.184349i
\(353\) 6.24930e8 + 1.92765e8i 0.756170 + 0.233248i 0.648787 0.760970i \(-0.275277\pi\)
0.107383 + 0.994218i \(0.465753\pi\)
\(354\) 1.19235e6 + 1.59108e7i 0.00142854 + 0.0190625i
\(355\) 3.77314e8 + 1.65312e9i 0.447613 + 1.96112i
\(356\) 6.22396e7 1.58584e8i 0.0731125 0.186288i
\(357\) 1.51758e7 2.02507e8i 0.0176527 0.235559i
\(358\) 2.54542e8 3.83660e7i 0.293203 0.0441932i
\(359\) 3.11042e8 + 2.88605e8i 0.354804 + 0.329210i 0.837357 0.546657i \(-0.184100\pi\)
−0.482553 + 0.875867i \(0.660290\pi\)
\(360\) 1.60988e9 + 7.75279e8i 1.81859 + 0.875788i
\(361\) 1.10012e9 7.50049e8i 1.23074 0.839101i
\(362\) 1.85533e8 + 4.72730e8i 0.205561 + 0.523761i
\(363\) 9.86878e7 3.04411e7i 0.108290 0.0334032i
\(364\) −1.87874e8 + 1.74322e8i −0.204179 + 0.189451i
\(365\) 1.76463e9 2.21277e9i 1.89945 2.38184i
\(366\) −4.24301e6 + 5.32057e6i −0.00452366 + 0.00567250i
\(367\) −5.60536e8 + 5.20101e8i −0.591932 + 0.549233i −0.918237 0.396032i \(-0.870387\pi\)
0.326304 + 0.945265i \(0.394197\pi\)
\(368\) −4.24309e8 + 1.30882e8i −0.443828 + 0.136903i
\(369\) 2.19180e8 + 5.58461e8i 0.227095 + 0.578629i
\(370\) −1.28981e9 + 8.79380e8i −1.32380 + 0.902549i
\(371\) 6.99845e7 + 3.37028e7i 0.0711530 + 0.0342655i
\(372\) −4.04378e7 3.75208e7i −0.0407275 0.0377896i
\(373\) 1.41287e9 2.12956e8i 1.40969 0.212476i 0.600310 0.799768i \(-0.295044\pi\)
0.809375 + 0.587292i \(0.199806\pi\)
\(374\) −6.08751e7 + 8.12322e8i −0.0601713 + 0.802930i
\(375\) −2.47482e8 + 6.30573e8i −0.242345 + 0.617484i
\(376\) −1.28436e8 5.62716e8i −0.124604 0.545924i
\(377\) 9.62962e7 + 1.28498e9i 0.0925581 + 1.23510i
\(378\) −2.49567e8 7.69813e7i −0.237666 0.0733102i
\(379\) −1.72569e9 + 8.31047e8i −1.62826 + 0.784131i −0.628283 + 0.777985i \(0.716242\pi\)
−0.999981 + 0.00614547i \(0.998044\pi\)
\(380\) 5.55201e8 9.61637e8i 0.519049 0.899018i
\(381\) −1.36044e8 2.35635e8i −0.126021 0.218274i
\(382\) 1.58876e7 + 1.08320e7i 0.0145827 + 0.00994229i
\(383\) 1.41362e7 6.19347e7i 0.0128569 0.0563298i −0.968093 0.250593i \(-0.919374\pi\)
0.980949 + 0.194263i \(0.0622316\pi\)
\(384\) −4.80643e7 7.24452e6i −0.0433175 0.00652906i
\(385\) −6.94492e8 8.70866e8i −0.620233 0.777747i
\(386\) 7.16636e8 0.634225
\(387\) −6.61952e8 8.72383e8i −0.580548 0.765101i
\(388\) −6.30209e8 −0.547739
\(389\) 7.12625e7 + 8.93604e7i 0.0613815 + 0.0769700i 0.811574 0.584249i \(-0.198611\pi\)
−0.750193 + 0.661219i \(0.770039\pi\)
\(390\) 3.75855e8 + 5.66510e7i 0.320844 + 0.0483595i
\(391\) 3.40063e8 1.48991e9i 0.287700 1.26050i
\(392\) −4.10883e8 2.80135e8i −0.344522 0.234891i
\(393\) 3.65745e7 + 6.33489e7i 0.0303952 + 0.0526460i
\(394\) 1.45869e8 2.52653e8i 0.120151 0.208108i
\(395\) −7.08444e8 + 3.41169e8i −0.578383 + 0.278535i
\(396\) −2.53544e8 7.82079e7i −0.205173 0.0632874i
\(397\) −5.41045e7 7.21975e8i −0.0433977 0.579102i −0.975940 0.218041i \(-0.930033\pi\)
0.932542 0.361062i \(-0.117586\pi\)
\(398\) −3.75132e8 1.64356e9i −0.298259 1.30676i
\(399\) −1.14289e8 + 2.91205e8i −0.0900742 + 0.229505i
\(400\) −1.41669e8 + 1.89044e9i −0.110679 + 1.47691i
\(401\) −2.08278e8 + 3.13929e7i −0.161302 + 0.0243123i −0.229197 0.973380i \(-0.573610\pi\)
0.0678949 + 0.997692i \(0.478372\pi\)
\(402\) 1.36817e8 + 1.26947e8i 0.105038 + 0.0974614i
\(403\) 1.00947e9 + 4.86136e8i 0.768292 + 0.369990i
\(404\) 1.12955e8 7.70117e7i 0.0852261 0.0581062i
\(405\) 8.32460e8 + 2.12107e9i 0.622688 + 1.58658i
\(406\) 9.78150e8 3.01719e8i 0.725378 0.223749i
\(407\) 6.68551e8 6.20325e8i 0.491535 0.456078i
\(408\) 2.80026e8 3.51142e8i 0.204121 0.255960i
\(409\) 4.21918e8 5.29069e8i 0.304928 0.382367i −0.605632 0.795745i \(-0.707080\pi\)
0.910560 + 0.413378i \(0.135651\pi\)
\(410\) −1.03783e9 + 9.62965e8i −0.743674 + 0.690028i
\(411\) 2.80422e8 8.64986e7i 0.199235 0.0614558i
\(412\) 3.26428e8 + 8.31725e8i 0.229957 + 0.585922i
\(413\) 1.09960e8 7.49695e7i 0.0768085 0.0523672i
\(414\) −8.67520e8 4.17776e8i −0.600867 0.289362i
\(415\) 1.41701e9 + 1.31479e9i 0.973204 + 0.903001i
\(416\) −9.78521e8 + 1.47488e8i −0.666413 + 0.100446i
\(417\) −1.33092e7 + 1.77599e8i −0.00898824 + 0.119940i
\(418\) 4.58453e8 1.16812e9i 0.307028 0.782294i
\(419\) 3.74925e7 + 1.64265e8i 0.0248998 + 0.109093i 0.985851 0.167626i \(-0.0536100\pi\)
−0.960951 + 0.276719i \(0.910753\pi\)
\(420\) 1.16650e7 + 1.55659e8i 0.00768267 + 0.102518i
\(421\) −1.63198e9 5.03399e8i −1.06593 0.328795i −0.288313 0.957536i \(-0.593094\pi\)
−0.777615 + 0.628741i \(0.783571\pi\)
\(422\) −1.51644e9 + 7.30277e8i −0.982269 + 0.473036i
\(423\) 3.84514e8 6.65997e8i 0.247013 0.427840i
\(424\) 8.58967e7 + 1.48777e8i 0.0547263 + 0.0947887i
\(425\) −5.39082e9 3.67540e9i −3.40638 2.32243i
\(426\) 5.97543e7 2.61801e8i 0.0374486 0.164073i
\(427\) 5.61291e7 + 8.46011e6i 0.0348892 + 0.00525870i
\(428\) 9.50295e6 + 1.19163e7i 0.00585875 + 0.00734664i
\(429\) −2.22063e8 −0.135793
\(430\) 1.34570e9 2.20628e9i 0.816221 1.33820i
\(431\) 1.00831e9 0.606631 0.303315 0.952890i \(-0.401906\pi\)
0.303315 + 0.952890i \(0.401906\pi\)
\(432\) −2.21279e8 2.77475e8i −0.132053 0.165589i
\(433\) −1.35996e8 2.04980e7i −0.0805039 0.0121340i 0.108667 0.994078i \(-0.465342\pi\)
−0.189171 + 0.981944i \(0.560580\pi\)
\(434\) 1.98054e8 8.67730e8i 0.116297 0.509531i
\(435\) 6.48450e8 + 4.42106e8i 0.377715 + 0.257522i
\(436\) −3.22586e7 5.58735e7i −0.0186399 0.0322852i
\(437\) −1.17709e9 + 2.03878e9i −0.674722 + 1.16865i
\(438\) −4.03832e8 + 1.94475e8i −0.229637 + 0.110587i
\(439\) −8.06287e8 2.48707e8i −0.454845 0.140301i 0.0588631 0.998266i \(-0.481252\pi\)
−0.513708 + 0.857965i \(0.671729\pi\)
\(440\) −1.84097e8 2.45661e9i −0.103030 1.37484i
\(441\) −1.47438e8 6.45966e8i −0.0818603 0.358653i
\(442\) −8.47081e8 + 2.15833e9i −0.466602 + 1.18888i
\(443\) 2.31360e8 3.08728e9i 0.126437 1.68719i −0.468537 0.883444i \(-0.655219\pi\)
0.594974 0.803745i \(-0.297162\pi\)
\(444\) −1.26379e8 + 1.90485e7i −0.0685225 + 0.0103281i
\(445\) 1.54487e9 + 1.43343e9i 0.831057 + 0.771108i
\(446\) −1.54581e9 7.44421e8i −0.825055 0.397325i
\(447\) −1.44346e8 + 9.84131e7i −0.0764411 + 0.0521167i
\(448\) 5.83785e8 + 1.48746e9i 0.306747 + 0.781578i
\(449\) 1.40707e9 4.34022e8i 0.733588 0.226282i 0.0946180 0.995514i \(-0.469837\pi\)
0.638970 + 0.769232i \(0.279361\pi\)
\(450\) −3.01346e9 + 2.79609e9i −1.55891 + 1.44646i
\(451\) 5.15702e8 6.46670e8i 0.264717 0.331944i
\(452\) −6.12690e8 + 7.68289e8i −0.312073 + 0.391327i
\(453\) −2.60527e7 + 2.41734e7i −0.0131677 + 0.0122178i
\(454\) −6.95848e8 + 2.14641e8i −0.348995 + 0.107651i
\(455\) −1.15829e9 2.95128e9i −0.576473 1.46883i
\(456\) −5.71646e8 + 3.89742e8i −0.282326 + 0.192486i
\(457\) −6.98659e8 3.36456e8i −0.342420 0.164901i 0.254768 0.967002i \(-0.418001\pi\)
−0.597188 + 0.802102i \(0.703715\pi\)
\(458\) 1.22915e9 + 1.14048e9i 0.597825 + 0.554701i
\(459\) 1.20782e9 1.82050e8i 0.582987 0.0878711i
\(460\) −8.77844e7 + 1.17140e9i −0.0420499 + 0.561117i
\(461\) 8.96275e8 2.28367e9i 0.426077 1.08563i −0.543189 0.839611i \(-0.682783\pi\)
0.969266 0.246016i \(-0.0791216\pi\)
\(462\) 3.92533e7 + 1.71980e8i 0.0185195 + 0.0811392i
\(463\) 4.82445e7 + 6.43779e8i 0.0225899 + 0.301442i 0.997043 + 0.0768492i \(0.0244860\pi\)
−0.974453 + 0.224592i \(0.927895\pi\)
\(464\) 1.32921e9 + 4.10006e8i 0.617703 + 0.190536i
\(465\) 6.14824e8 2.96084e8i 0.283573 0.136562i
\(466\) 2.40534e8 4.16617e8i 0.110110 0.190716i
\(467\) −5.16866e8 8.95238e8i −0.234838 0.406752i 0.724387 0.689393i \(-0.242123\pi\)
−0.959226 + 0.282641i \(0.908789\pi\)
\(468\) −6.23989e8 4.25428e8i −0.281395 0.191852i
\(469\) 3.46415e8 1.51774e9i 0.155057 0.679350i
\(470\) 1.79454e9 + 2.70483e8i 0.797279 + 0.120171i
\(471\) −1.20850e8 1.51541e8i −0.0532933 0.0668276i
\(472\) 2.94336e8 0.128839
\(473\) −5.85297e8 + 1.39174e9i −0.254309 + 0.604704i
\(474\) 1.24527e8 0.0537080
\(475\) 6.26658e9 + 7.85805e9i 2.68289 + 3.36424i
\(476\) −9.41541e8 1.41914e8i −0.400143 0.0603118i
\(477\) −5.09333e7 + 2.23154e8i −0.0214876 + 0.0941433i
\(478\) −9.15258e8 6.24013e8i −0.383306 0.261334i
\(479\) 1.81717e9 + 3.14743e9i 0.755478 + 1.30853i 0.945136 + 0.326676i \(0.105929\pi\)
−0.189659 + 0.981850i \(0.560738\pi\)
\(480\) −3.01353e8 + 5.21959e8i −0.124374 + 0.215423i
\(481\) 2.33879e9 1.12630e9i 0.958262 0.461474i
\(482\) −2.85713e9 8.81308e8i −1.16216 0.358478i
\(483\) −2.47311e7 3.30014e8i −0.00998687 0.133265i
\(484\) −1.07754e8 4.72100e8i −0.0431990 0.189267i
\(485\) 2.84820e9 7.25710e9i 1.13364 2.88846i
\(486\) 8.68485e7 1.15891e9i 0.0343191 0.457956i
\(487\) 5.12901e7 7.73074e6i 0.0201225 0.00303298i −0.138973 0.990296i \(-0.544380\pi\)
0.159096 + 0.987263i \(0.449142\pi\)
\(488\) 9.20270e7 + 8.53886e7i 0.0358464 + 0.0332606i
\(489\) 8.91689e8 + 4.29415e8i 0.344852 + 0.166072i
\(490\) 1.29191e9 8.80809e8i 0.496073 0.338217i
\(491\) 1.74226e9 + 4.43920e9i 0.664243 + 1.69246i 0.719960 + 0.694016i \(0.244160\pi\)
−0.0557173 + 0.998447i \(0.517745\pi\)
\(492\) −1.10761e8 + 3.41651e7i −0.0419283 + 0.0129332i
\(493\) −3.50940e9 + 3.25625e9i −1.31907 + 1.22392i
\(494\) 2.22694e9 2.79249e9i 0.831119 1.04219i
\(495\) 2.04647e9 2.56620e9i 0.758382 0.950981i
\(496\) 8.86613e8 8.22657e8i 0.326248 0.302714i
\(497\) −2.14035e9 + 6.60209e8i −0.782054 + 0.241232i
\(498\) −1.11842e8 2.84968e8i −0.0405789 0.103393i
\(499\) −1.70179e9 + 1.16026e9i −0.613133 + 0.418027i −0.829675 0.558246i \(-0.811474\pi\)
0.216543 + 0.976273i \(0.430522\pi\)
\(500\) 2.86165e9 + 1.37810e9i 1.02381 + 0.493043i
\(501\) 5.78661e8 + 5.36919e8i 0.205585 + 0.190755i
\(502\) −1.36758e9 + 2.06129e8i −0.482490 + 0.0727237i
\(503\) 9.30200e7 1.24127e9i 0.0325903 0.434887i −0.956913 0.290376i \(-0.906220\pi\)
0.989503 0.144512i \(-0.0461612\pi\)
\(504\) −8.62326e8 + 2.19717e9i −0.300030 + 0.764464i
\(505\) 3.76323e8 + 1.64878e9i 0.130029 + 0.569695i
\(506\) 9.92049e7 + 1.32380e9i 0.0340413 + 0.454250i
\(507\) −4.61503e7 1.42355e7i −0.0157270 0.00485115i
\(508\) −1.14943e9 + 5.53535e8i −0.389008 + 0.187336i
\(509\) −1.31085e9 + 2.27045e9i −0.440595 + 0.763133i −0.997734 0.0672866i \(-0.978566\pi\)
0.557139 + 0.830419i \(0.311899\pi\)
\(510\) 7.06079e8 + 1.22297e9i 0.235699 + 0.408243i
\(511\) 3.08900e9 + 2.10605e9i 1.02411 + 0.698224i
\(512\) −6.37230e8 + 2.79189e9i −0.209822 + 0.919291i
\(513\) −1.86061e9 2.80442e8i −0.608477 0.0917132i
\(514\) 6.90244e8 + 8.65538e8i 0.224198 + 0.281135i
\(515\) −1.10529e10 −3.56576
\(516\) 1.77635e8 1.14939e8i 0.0569187 0.0368294i
\(517\) −1.06025e9 −0.337437
\(518\) −1.28570e9 1.61222e9i −0.406430 0.509647i
\(519\) 4.76615e8 + 7.18381e7i 0.149652 + 0.0225564i
\(520\) 1.56029e9 6.83608e9i 0.486624 2.13204i
\(521\) −6.41514e8 4.37377e8i −0.198735 0.135495i 0.459864 0.887989i \(-0.347898\pi\)
−0.658599 + 0.752494i \(0.728851\pi\)
\(522\) 1.50817e9 + 2.61223e9i 0.464092 + 0.803830i
\(523\) −6.09226e7 + 1.05521e8i −0.0186218 + 0.0322540i −0.875186 0.483786i \(-0.839261\pi\)
0.856564 + 0.516040i \(0.172595\pi\)
\(524\) 3.09015e8 1.48814e8i 0.0938254 0.0451840i
\(525\) −1.35013e9 4.16458e8i −0.407208 0.125607i
\(526\) −1.60828e8 2.14610e9i −0.0481849 0.642982i
\(527\) 9.26275e8 + 4.05828e9i 0.275678 + 1.20783i
\(528\) −8.75772e7 + 2.23143e8i −0.0258924 + 0.0659727i
\(529\) −6.83299e7 + 9.11799e8i −0.0200685 + 0.267796i
\(530\) −5.34124e8 + 8.05063e7i −0.155839 + 0.0234890i
\(531\) 2.87477e8 + 2.66739e8i 0.0833244 + 0.0773137i
\(532\) 1.32154e9 + 6.36418e8i 0.380530 + 0.183253i
\(533\) 1.94517e9 1.32619e9i 0.556432 0.379369i
\(534\) −1.21933e8 3.10680e8i −0.0346519 0.0882916i
\(535\) −1.80169e8 + 5.55748e7i −0.0508677 + 0.0156906i
\(536\) 2.52392e9 2.34185e9i 0.707943 0.656875i
\(537\) −1.62549e8 + 2.03830e8i −0.0452975 + 0.0568012i
\(538\) −5.16812e8 + 6.48062e8i −0.143085 + 0.179423i
\(539\) −6.69638e8 + 6.21333e8i −0.184196 + 0.170909i
\(540\) −8.97179e8 + 2.76743e8i −0.245189 + 0.0756307i
\(541\) −5.70769e8 1.45429e9i −0.154978 0.394877i 0.832206 0.554467i \(-0.187078\pi\)
−0.987183 + 0.159590i \(0.948983\pi\)
\(542\) 1.23692e9 8.43321e8i 0.333692 0.227507i
\(543\) −4.63394e8 2.23159e8i −0.124208 0.0598156i
\(544\) −2.69506e9 2.50065e9i −0.717748 0.665973i
\(545\) 7.89197e8 1.18952e8i 0.208832 0.0314764i
\(546\) −3.75217e7 + 5.00693e8i −0.00986526 + 0.131643i
\(547\) −7.57199e8 + 1.92931e9i −0.197813 + 0.504019i −0.995019 0.0996889i \(-0.968215\pi\)
0.797206 + 0.603707i \(0.206310\pi\)
\(548\) −3.06183e8 1.34147e9i −0.0794783 0.348217i
\(549\) 1.24997e7 + 1.66797e8i 0.00322402 + 0.0430216i
\(550\) 5.41580e9 + 1.67055e9i 1.38801 + 0.428145i
\(551\) 6.64447e9 3.19981e9i 1.69211 0.814880i
\(552\) 3.65960e8 6.33860e8i 0.0926075 0.160401i
\(553\) −5.19343e8 8.99529e8i −0.130592 0.226192i
\(554\) 2.36100e9 + 1.60970e9i 0.589945 + 0.402217i
\(555\) 3.51812e8 1.54139e9i 0.0873544 0.382725i
\(556\) 8.25733e8 + 1.24459e8i 0.203741 + 0.0307090i
\(557\) 4.03856e9 + 5.06420e9i 0.990224 + 1.24170i 0.970301 + 0.241900i \(0.0777706\pi\)
0.0199229 + 0.999802i \(0.493658\pi\)
\(558\) 2.62271e9 0.639045
\(559\) −2.75954e9 + 3.29428e9i −0.668183 + 0.797661i
\(560\) −3.42244e9 −0.823526
\(561\) −5.14389e8 6.45023e8i −0.123005 0.154243i
\(562\) −7.28007e8 1.09729e8i −0.173005 0.0260763i
\(563\) −3.57770e8 + 1.56749e9i −0.0844936 + 0.370191i −0.999443 0.0333784i \(-0.989373\pi\)
0.914949 + 0.403569i \(0.132231\pi\)
\(564\) 1.22763e8 + 8.36982e7i 0.0288131 + 0.0196444i
\(565\) −6.07812e9 1.05276e10i −1.41775 2.45562i
\(566\) 2.11791e9 3.66833e9i 0.490964 0.850375i
\(567\) −2.71184e9 + 1.30595e9i −0.624773 + 0.300875i
\(568\) −4.73367e9 1.46014e9i −1.08387 0.334331i
\(569\) 4.84063e7 + 6.45937e8i 0.0110156 + 0.146993i 0.999999 0.00103028i \(-0.000327949\pi\)
−0.988984 + 0.148023i \(0.952709\pi\)
\(570\) −4.84068e8 2.12084e9i −0.109482 0.479674i
\(571\) 1.05574e9 2.68997e9i 0.237317 0.604674i −0.761749 0.647872i \(-0.775659\pi\)
0.999067 + 0.0431974i \(0.0137544\pi\)
\(572\) −7.78098e7 + 1.03830e9i −0.0173839 + 0.231973i
\(573\) −1.92572e7 + 2.90255e6i −0.00427614 + 0.000644524i
\(574\) −1.37093e9 1.27204e9i −0.302568 0.280742i
\(575\) −9.57972e9 4.61335e9i −2.10143 1.01200i
\(576\) −3.89045e9 + 2.65246e9i −0.848244 + 0.578323i
\(577\) 2.08217e9 + 5.30529e9i 0.451234 + 1.14972i 0.957777 + 0.287511i \(0.0928276\pi\)
−0.506544 + 0.862214i \(0.669077\pi\)
\(578\) −4.62960e9 + 1.42804e9i −0.997231 + 0.307605i
\(579\) −5.32049e8 + 4.93669e8i −0.113914 + 0.105697i
\(580\) 2.29436e9 2.87704e9i 0.488275 0.612277i
\(581\) −1.59205e9 + 1.99636e9i −0.336774 + 0.422302i
\(582\) −9.05053e8 + 8.39767e8i −0.190302 + 0.176575i
\(583\) 3.01552e8 9.30166e7i 0.0630265 0.0194411i
\(584\) 3.02082e9 + 7.69694e9i 0.627597 + 1.59909i
\(585\) 7.71906e9 5.26277e9i 1.59411 1.08685i
\(586\) 4.06113e8 + 1.95574e8i 0.0833692 + 0.0401485i
\(587\) −2.56797e9 2.38273e9i −0.524030 0.486229i 0.373225 0.927741i \(-0.378252\pi\)
−0.897255 + 0.441512i \(0.854442\pi\)
\(588\) 1.26584e8 1.90795e7i 0.0256778 0.00387031i
\(589\) 4.79200e8 6.39448e9i 0.0966302 1.28944i
\(590\) −3.38108e8 + 8.61486e8i −0.0677757 + 0.172690i
\(591\) 6.57480e7 + 2.88061e8i 0.0131017 + 0.0574022i
\(592\) −2.09408e8 2.79435e9i −0.0414827 0.553548i
\(593\) −1.08434e9 3.34474e8i −0.213537 0.0658674i 0.186141 0.982523i \(-0.440402\pi\)
−0.399678 + 0.916656i \(0.630878\pi\)
\(594\) −9.55962e8 + 4.60367e8i −0.187149 + 0.0901263i
\(595\) 5.88946e9 1.02008e10i 1.14621 1.98530i
\(596\) 4.09571e8 + 7.09399e8i 0.0792443 + 0.137255i
\(597\) 1.41071e9 + 9.61803e8i 0.271348 + 0.185002i
\(598\) −8.40796e8 + 3.68377e9i −0.160782 + 0.704430i
\(599\) −7.74489e9 1.16735e9i −1.47238 0.221926i −0.636690 0.771120i \(-0.719697\pi\)
−0.835695 + 0.549194i \(0.814935\pi\)
\(600\) −1.94829e9 2.44308e9i −0.368235 0.461752i
\(601\) −2.41170e9 −0.453172 −0.226586 0.973991i \(-0.572756\pi\)
−0.226586 + 0.973991i \(0.572756\pi\)
\(602\) 3.03909e9 + 1.55484e9i 0.567748 + 0.290469i
\(603\) 4.58738e9 0.852029
\(604\) 1.03898e8 + 1.30285e8i 0.0191858 + 0.0240582i
\(605\) 5.92340e9 + 8.92809e8i 1.08750 + 0.163914i
\(606\) 5.95974e7 2.61113e8i 0.0108786 0.0476623i
\(607\) 8.72077e9 + 5.94572e9i 1.58268 + 1.07906i 0.953327 + 0.301939i \(0.0976340\pi\)
0.629357 + 0.777116i \(0.283318\pi\)
\(608\) 2.83175e9 + 4.90474e9i 0.510967 + 0.885021i
\(609\) −5.18358e8 + 8.97822e8i −0.0929970 + 0.161076i
\(610\) −3.55635e8 + 1.71265e8i −0.0634381 + 0.0305502i
\(611\) −2.88374e9 8.89515e8i −0.511459 0.157764i
\(612\) −2.09677e8 2.79795e9i −0.0369762 0.493413i
\(613\) −1.23432e9 5.40792e9i −0.216430 0.948241i −0.960092 0.279685i \(-0.909770\pi\)
0.743662 0.668556i \(-0.233087\pi\)
\(614\) −2.58276e8 + 6.58076e8i −0.0450292 + 0.114733i
\(615\) 1.07153e8 1.42986e9i 0.0185756 0.247874i
\(616\) 3.21783e9 4.85010e8i 0.554665 0.0836023i
\(617\) 3.65759e9 + 3.39375e9i 0.626898 + 0.581676i 0.928305 0.371819i \(-0.121266\pi\)
−0.301407 + 0.953495i \(0.597456\pi\)
\(618\) 1.57708e9 + 7.59482e8i 0.268778 + 0.129437i
\(619\) −8.05834e9 + 5.49408e9i −1.36562 + 0.931061i −0.365615 + 0.930766i \(0.619141\pi\)
−1.00000 0.000294534i \(0.999906\pi\)
\(620\) −1.16897e9 2.97847e9i −0.196984 0.501907i
\(621\) 1.90212e9 5.86727e8i 0.318726 0.0983140i
\(622\) 2.18079e9 2.02348e9i 0.363369 0.337157i
\(623\) −1.73570e9 + 2.17650e9i −0.287585 + 0.360620i
\(624\) −4.25406e8 + 5.33443e8i −0.0700903 + 0.0878904i
\(625\) −1.66005e10 + 1.54030e10i −2.71983 + 2.52363i
\(626\) −4.21644e8 + 1.30060e8i −0.0686967 + 0.0211901i
\(627\) 4.64315e8 + 1.18305e9i 0.0752274 + 0.191676i
\(628\) −7.50903e8 + 5.11957e8i −0.120983 + 0.0824849i
\(629\) 8.68914e9 + 4.18447e9i 1.39219 + 0.670445i
\(630\) −5.44029e9 5.04785e9i −0.866822 0.804293i
\(631\) 9.57463e8 1.44314e8i 0.151712 0.0228669i −0.0727472 0.997350i \(-0.523177\pi\)
0.224459 + 0.974484i \(0.427939\pi\)
\(632\) 1.71670e8 2.29078e9i 0.0270511 0.360972i
\(633\) 6.22774e8 1.58680e9i 0.0975927 0.248662i
\(634\) 1.31412e9 + 5.75754e9i 0.204797 + 0.897273i
\(635\) −1.17938e9 1.57378e10i −0.182788 2.43913i
\(636\) −4.22585e7 1.30350e7i −0.00651350 0.00200915i
\(637\) −2.34259e9 + 1.12813e9i −0.359095 + 0.172931i
\(638\) 2.07931e9 3.60146e9i 0.316990 0.549043i
\(639\) −3.30012e9 5.71597e9i −0.500353 0.866636i
\(640\) −2.32946e9 1.58820e9i −0.351258 0.239483i
\(641\) −2.44254e9 + 1.07015e10i −0.366301 + 1.60487i 0.370548 + 0.928813i \(0.379170\pi\)
−0.736849 + 0.676057i \(0.763687\pi\)
\(642\) 2.95261e7 + 4.45034e6i 0.00440386 + 0.000663775i
\(643\) −3.66695e9 4.59822e9i −0.543960 0.682105i 0.431542 0.902093i \(-0.357970\pi\)
−0.975503 + 0.219988i \(0.929398\pi\)
\(644\) −1.55171e9 −0.228934
\(645\) 5.20757e8 + 2.56500e9i 0.0764146 + 0.376382i
\(646\) 1.32698e10 1.93664
\(647\) −5.62488e9 7.05338e9i −0.816486 1.02384i −0.999173 0.0406695i \(-0.987051\pi\)
0.182687 0.983171i \(-0.441520\pi\)
\(648\) −6.58248e9 9.92150e8i −0.950336 0.143240i
\(649\) 1.20311e8 5.27119e8i 0.0172763 0.0756924i
\(650\) 1.33287e10 + 9.08733e9i 1.90366 + 1.29790i
\(651\) 4.50713e8 + 7.80657e8i 0.0640275 + 0.110899i
\(652\) 2.32025e9 4.01880e9i 0.327845 0.567845i
\(653\) 6.28459e9 3.02650e9i 0.883244 0.425348i 0.0634357 0.997986i \(-0.479794\pi\)
0.819808 + 0.572638i \(0.194080\pi\)
\(654\) −1.20780e8 3.72556e7i −0.0168839 0.00520799i
\(655\) 3.17069e8 + 4.23099e9i 0.0440869 + 0.588298i
\(656\) −5.65507e8 2.47765e9i −0.0782122 0.342670i
\(657\) −4.02485e9 + 1.02552e10i −0.553696 + 1.41079i
\(658\) −1.79149e8 + 2.39058e9i −0.0245146 + 0.327124i
\(659\) 6.38095e9 9.61774e8i 0.868534 0.130910i 0.300367 0.953824i \(-0.402891\pi\)
0.568167 + 0.822913i \(0.307653\pi\)
\(660\) 4.64869e8 + 4.31336e8i 0.0629401 + 0.0583998i
\(661\) −1.73458e9 8.35330e8i −0.233609 0.112500i 0.313418 0.949615i \(-0.398526\pi\)
−0.547027 + 0.837115i \(0.684240\pi\)
\(662\) −7.27313e9 + 4.95873e9i −0.974357 + 0.664305i
\(663\) −8.57912e8 2.18592e9i −0.114326 0.291298i
\(664\) −5.39640e9 + 1.66457e9i −0.715346 + 0.220655i
\(665\) −1.33012e10 + 1.23417e10i −1.75395 + 1.62742i
\(666\) 3.78860e9 4.75075e9i 0.496957 0.623164i
\(667\) −4.86431e9 + 6.09965e9i −0.634718 + 0.795912i
\(668\) 2.71323e9 2.51751e9i 0.352183 0.326778i
\(669\) 1.66045e9 5.12182e8i 0.214405 0.0661352i
\(670\) 3.95506e9 + 1.00773e10i 0.508032 + 1.29444i
\(671\) 1.90537e8 1.29906e8i 0.0243473 0.0165997i
\(672\) −7.17305e8 3.45436e8i −0.0911825 0.0439112i
\(673\) −3.69698e9 3.43030e9i −0.467514 0.433790i 0.410907 0.911677i \(-0.365212\pi\)
−0.878421 + 0.477888i \(0.841403\pi\)
\(674\) −8.73493e9 + 1.31658e9i −1.09888 + 0.165629i
\(675\) 6.35084e8 8.47461e9i 0.0794819 1.06061i
\(676\) −8.27316e7 + 2.10797e8i −0.0103005 + 0.0262452i
\(677\) −2.30973e8 1.01196e9i −0.0286089 0.125344i 0.958607 0.284733i \(-0.0919048\pi\)
−0.987216 + 0.159389i \(0.949048\pi\)
\(678\) 1.43867e8 + 1.91977e9i 0.0177279 + 0.236563i
\(679\) 9.84067e9 + 3.03545e9i 1.20637 + 0.372116i
\(680\) 2.34709e10 1.13030e10i 2.86252 1.37852i
\(681\) 3.68755e8 6.38703e8i 0.0447428 0.0774968i
\(682\) −1.80796e9 3.13148e9i −0.218245 0.378011i
\(683\) 7.92209e9 + 5.40119e9i 0.951410 + 0.648660i 0.936291 0.351226i \(-0.114235\pi\)
0.0151187 + 0.999886i \(0.495187\pi\)
\(684\) −9.61787e8 + 4.21387e9i −0.114917 + 0.503482i
\(685\) 1.68314e10 + 2.53692e9i 2.00079 + 0.301571i
\(686\) 4.64985e9 + 5.83073e9i 0.549927 + 0.689586i
\(687\) −1.69819e9 −0.199819
\(688\) 2.22199e9 + 4.07215e9i 0.260125 + 0.476721i
\(689\) 8.98217e8 0.104620
\(690\) 1.43485e9 + 1.79924e9i 0.166278 + 0.208506i
\(691\) 1.25312e10 + 1.88877e9i 1.44483 + 0.217774i 0.824188 0.566317i \(-0.191632\pi\)
0.620646 + 0.784091i \(0.286870\pi\)
\(692\) 5.02896e8 2.20333e9i 0.0576909 0.252760i
\(693\) 3.58238e9 + 2.44242e9i 0.408889 + 0.278775i
\(694\) −5.53980e9 9.59521e9i −0.629123 1.08967i
\(695\) −5.16506e9 + 8.94615e9i −0.583618 + 1.01086i
\(696\) −2.06578e9 + 9.94826e8i −0.232248 + 0.111845i
\(697\) 8.35797e9 + 2.57809e9i 0.934945 + 0.288392i
\(698\) −1.76745e8 2.35849e9i −0.0196722 0.262507i
\(699\) 1.08416e8 + 4.75004e8i 0.0120067 + 0.0526050i
\(700\) −2.42031e9 + 6.16684e9i −0.266703 + 0.679548i
\(701\) 1.21949e8 1.62730e9i 0.0133711 0.178424i −0.986520 0.163643i \(-0.947676\pi\)
0.999891 0.0147818i \(-0.00470535\pi\)
\(702\) −2.98631e9 + 4.50114e8i −0.325803 + 0.0491069i
\(703\) −1.08907e10 1.01050e10i −1.18225 1.09697i
\(704\) 5.84886e9 + 2.81666e9i 0.631782 + 0.304250i
\(705\) −1.51864e9 + 1.03539e9i −0.163227 + 0.111286i
\(706\) −2.19474e9 5.59210e9i −0.234729 0.598079i
\(707\) −2.13473e9 + 6.58476e8i −0.227182 + 0.0700764i
\(708\) −5.55421e7 + 5.15355e7i −0.00588174 + 0.00545745i
\(709\) 2.38556e9 2.99140e9i 0.251379 0.315220i −0.640091 0.768299i \(-0.721103\pi\)
0.891470 + 0.453080i \(0.149675\pi\)
\(710\) 9.71131e9 1.21776e10i 1.01829 1.27690i
\(711\) 2.24367e9 2.08182e9i 0.234107 0.217220i
\(712\) −5.88332e9 + 1.81476e9i −0.610861 + 0.188426i
\(713\) 2.47834e9 + 6.31471e9i 0.256063 + 0.652439i
\(714\) −1.54127e9 + 1.05082e9i −0.158465 + 0.108040i
\(715\) −1.16048e10 5.58856e9i −1.18731 0.571780i
\(716\) 8.96089e8 + 8.31449e8i 0.0912338 + 0.0846526i
\(717\) 1.10937e9 1.67211e8i 0.112399 0.0169414i
\(718\) 2.91271e8 3.88674e9i 0.0293671 0.391877i
\(719\) −6.71186e9 + 1.71016e10i −0.673429 + 1.71587i 0.0244962 + 0.999700i \(0.492202\pi\)
−0.697926 + 0.716170i \(0.745893\pi\)
\(720\) −2.24412e9 9.83211e9i −0.224069 0.981710i
\(721\) −1.09109e9 1.45596e10i −0.108415 1.44669i
\(722\) −1.16873e10 3.60506e9i −1.15567 0.356478i
\(723\) 2.72831e9 1.31389e9i 0.268479 0.129293i
\(724\) −1.20579e9 + 2.08849e9i −0.118083 + 0.204526i
\(725\) 1.66542e10 + 2.88459e10i 1.62308 + 2.81126i
\(726\) −7.83830e8 5.34406e8i −0.0760228 0.0518315i
\(727\) 1.44902e9 6.34858e9i 0.139863 0.612782i −0.855600 0.517638i \(-0.826812\pi\)
0.995463 0.0951443i \(-0.0303313\pi\)
\(728\) 9.15894e9 + 1.38049e9i 0.879803 + 0.132609i
\(729\) −5.02396e9 6.29985e9i −0.480286 0.602260i
\(730\) −2.59981e10 −2.47349
\(731\) −1.59610e10 3.84703e8i −1.51130 0.0364263i
\(732\) −3.23165e7 −0.00304534
\(733\) −5.88635e9 7.38125e9i −0.552055 0.692255i 0.425012 0.905188i \(-0.360270\pi\)
−0.977067 + 0.212933i \(0.931698\pi\)
\(734\) 6.94556e9 + 1.04688e9i 0.648293 + 0.0977144i
\(735\) −3.52383e8 + 1.54389e9i −0.0327348 + 0.143420i
\(736\) −4.95031e9 3.37506e9i −0.457678 0.312039i
\(737\) −3.16230e9 5.47726e9i −0.290982 0.503996i
\(738\) 2.75543e9 4.77254e9i 0.252343 0.437071i
\(739\) 9.53144e9 4.59010e9i 0.868766 0.418376i 0.0542573 0.998527i \(-0.482721\pi\)
0.814509 + 0.580151i \(0.197007\pi\)
\(740\) −7.08378e9 2.18506e9i −0.642620 0.198222i
\(741\) 2.70328e8 + 3.60728e9i 0.0244078 + 0.325699i
\(742\) −1.58774e8 6.95635e8i −0.0142681 0.0625127i
\(743\) 2.46822e9 6.28893e9i 0.220762 0.562492i −0.776990 0.629513i \(-0.783254\pi\)
0.997752 + 0.0670215i \(0.0213496\pi\)
\(744\) −1.48984e8 + 1.98805e9i −0.0132628 + 0.176979i
\(745\) −1.00200e10 + 1.51028e9i −0.887815 + 0.133817i
\(746\) −9.62128e9 8.92724e9i −0.848490 0.787284i
\(747\) −6.77915e9 3.26466e9i −0.595049 0.286561i
\(748\) −3.19617e9 + 2.17911e9i −0.279238 + 0.190381i
\(749\) −9.09922e7 2.31844e8i −0.00791257 0.0201609i
\(750\) 5.94600e9 1.83410e9i 0.514648 0.158748i
\(751\) 8.24779e9 7.65283e9i 0.710555 0.659299i −0.239673 0.970854i \(-0.577040\pi\)
0.950228 + 0.311555i \(0.100850\pi\)
\(752\) −2.03112e9 + 2.54695e9i −0.174170 + 0.218403i
\(753\)