Properties

Label 43.7.h.a.18.8
Level $43$
Weight $7$
Character 43.18
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 18.8
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.67452 + 5.55371i) q^{2} +(24.4389 - 35.8453i) q^{3} +(16.2128 + 20.3302i) q^{4} +(-20.9922 - 22.6242i) q^{5} +(133.712 + 231.596i) q^{6} +(375.666 + 216.891i) q^{7} +(-540.884 + 123.453i) q^{8} +(-421.291 - 1073.43i) q^{9} +O(q^{10})\) \(q+(-2.67452 + 5.55371i) q^{2} +(24.4389 - 35.8453i) q^{3} +(16.2128 + 20.3302i) q^{4} +(-20.9922 - 22.6242i) q^{5} +(133.712 + 231.596i) q^{6} +(375.666 + 216.891i) q^{7} +(-540.884 + 123.453i) q^{8} +(-421.291 - 1073.43i) q^{9} +(181.792 - 56.0755i) q^{10} +(1489.70 - 1868.02i) q^{11} +(1124.96 - 84.3042i) q^{12} +(223.335 + 68.8897i) q^{13} +(-2209.28 + 1506.26i) q^{14} +(-1324.00 + 199.560i) q^{15} +(390.663 - 1711.61i) q^{16} +(6.51765 + 6.04750i) q^{17} +(7088.28 + 531.193i) q^{18} +(9248.40 + 3629.73i) q^{19} +(119.612 - 793.574i) q^{20} +(16955.4 - 8165.29i) q^{21} +(6390.22 + 13269.4i) q^{22} +(849.967 + 128.112i) q^{23} +(-8793.39 + 22405.2i) q^{24} +(1096.48 - 14631.4i) q^{25} +(-979.908 + 1056.09i) q^{26} +(-17939.6 - 4094.60i) q^{27} +(1681.16 + 11153.8i) q^{28} +(-6239.34 - 9151.44i) q^{29} +(2432.76 - 7886.81i) q^{30} +(2192.93 + 29262.6i) q^{31} +(-19299.4 - 15390.8i) q^{32} +(-30553.2 - 99051.2i) q^{33} +(-51.0177 + 20.0230i) q^{34} +(-2979.07 - 13052.2i) q^{35} +(14992.7 - 25968.2i) q^{36} +(-50576.6 + 29200.4i) q^{37} +(-44893.5 + 41655.1i) q^{38} +(7927.43 - 6321.91i) q^{39} +(14147.3 + 9645.50i) q^{40} +(-32433.9 - 15619.4i) q^{41} +116004. i q^{42} +(-76240.7 - 22554.7i) q^{43} +62129.4 q^{44} +(-15441.7 + 32065.0i) q^{45} +(-2984.75 + 4377.83i) q^{46} +(101675. + 127497. i) q^{47} +(-51805.7 - 55833.2i) q^{48} +(35259.0 + 61070.3i) q^{49} +(78326.2 + 45221.7i) q^{50} +(376.059 - 85.8329i) q^{51} +(2220.34 + 5657.32i) q^{52} +(-27738.6 + 8556.22i) q^{53} +(70720.1 - 88680.2i) q^{54} +(-73534.6 + 5510.65i) q^{55} +(-229968. - 70935.7i) q^{56} +(356130. - 242805. i) q^{57} +(67511.7 - 10175.8i) q^{58} +(-36791.3 + 161193. i) q^{59} +(-25522.7 - 23681.6i) q^{60} +(-370513. - 27766.1i) q^{61} +(-168381. - 66084.8i) q^{62} +(74553.0 - 494627. i) q^{63} +(238325. - 114771. i) q^{64} +(-3129.71 - 6498.91i) q^{65} +(631817. + 95231.1i) q^{66} +(-171597. + 437223. i) q^{67} +(-17.2774 + 230.551i) q^{68} +(25364.5 - 27336.4i) q^{69} +(80455.5 + 18363.4i) q^{70} +(-8115.23 - 53841.0i) q^{71} +(360388. + 528592. i) q^{72} +(-122309. + 396516. i) q^{73} +(-26902.2 - 358985. i) q^{74} +(-497672. - 396880. i) q^{75} +(76149.1 + 246869. i) q^{76} +(964788. - 378651. i) q^{77} +(13908.0 + 60934.7i) q^{78} +(-139496. + 241614. i) q^{79} +(-46924.6 + 27091.9i) q^{80} +(31038.3 - 28799.3i) q^{81} +(173491. - 138354. i) q^{82} +(-716648. - 488602. i) q^{83} +(440895. + 212324. i) q^{84} -274.407i q^{85} +(329170. - 363096. i) q^{86} -480519. q^{87} +(-575141. + 1.19429e6i) q^{88} +(-43381.7 + 63629.3i) q^{89} +(-136781. - 171517. i) q^{90} +(68957.8 + 74318.9i) q^{91} +(11175.8 + 19357.0i) q^{92} +(1.10252e6 + 636541. i) q^{93} +(-980012. + 223681. i) q^{94} +(-112024. - 285433. i) q^{95} +(-1.02334e6 + 315659. i) q^{96} +(1.02821e6 - 1.28933e6i) q^{97} +(-433468. + 32483.9i) q^{98} +(-2.63279e6 - 812110. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.67452 + 5.55371i −0.334316 + 0.694214i −0.998579 0.0532847i \(-0.983031\pi\)
0.664264 + 0.747498i \(0.268745\pi\)
\(3\) 24.4389 35.8453i 0.905145 1.32760i −0.0394013 0.999223i \(-0.512545\pi\)
0.944546 0.328380i \(-0.106503\pi\)
\(4\) 16.2128 + 20.3302i 0.253324 + 0.317659i
\(5\) −20.9922 22.6242i −0.167937 0.180993i 0.643476 0.765466i \(-0.277492\pi\)
−0.811413 + 0.584473i \(0.801301\pi\)
\(6\) 133.712 + 231.596i 0.619036 + 1.07220i
\(7\) 375.666 + 216.891i 1.09524 + 0.632336i 0.934966 0.354737i \(-0.115430\pi\)
0.160271 + 0.987073i \(0.448763\pi\)
\(8\) −540.884 + 123.453i −1.05641 + 0.241120i
\(9\) −421.291 1073.43i −0.577903 1.47247i
\(10\) 181.792 56.0755i 0.181792 0.0560755i
\(11\) 1489.70 1868.02i 1.11923 1.40347i 0.214907 0.976635i \(-0.431055\pi\)
0.904327 0.426840i \(-0.140373\pi\)
\(12\) 1124.96 84.3042i 0.651020 0.0487872i
\(13\) 223.335 + 68.8897i 0.101654 + 0.0313562i 0.345165 0.938542i \(-0.387823\pi\)
−0.243511 + 0.969898i \(0.578299\pi\)
\(14\) −2209.28 + 1506.26i −0.805131 + 0.548929i
\(15\) −1324.00 + 199.560i −0.392295 + 0.0591290i
\(16\) 390.663 1711.61i 0.0953767 0.417873i
\(17\) 6.51765 + 6.04750i 0.00132661 + 0.00123092i 0.680836 0.732436i \(-0.261617\pi\)
−0.679509 + 0.733667i \(0.737807\pi\)
\(18\) 7088.28 + 531.193i 1.21541 + 0.0910825i
\(19\) 9248.40 + 3629.73i 1.34836 + 0.529192i 0.926099 0.377282i \(-0.123141\pi\)
0.422262 + 0.906474i \(0.361236\pi\)
\(20\) 119.612 793.574i 0.0149515 0.0991968i
\(21\) 16955.4 8165.29i 1.83084 0.881685i
\(22\) 6390.22 + 13269.4i 0.600134 + 1.24619i
\(23\) 849.967 + 128.112i 0.0698584 + 0.0105295i 0.183878 0.982949i \(-0.441135\pi\)
−0.114020 + 0.993478i \(0.536373\pi\)
\(24\) −8793.39 + 22405.2i −0.636096 + 1.62075i
\(25\) 1096.48 14631.4i 0.0701744 0.936413i
\(26\) −979.908 + 1056.09i −0.0557526 + 0.0600870i
\(27\) −17939.6 4094.60i −0.911426 0.208027i
\(28\) 1681.16 + 11153.8i 0.0765834 + 0.508097i
\(29\) −6239.34 9151.44i −0.255826 0.375228i 0.676743 0.736219i \(-0.263391\pi\)
−0.932569 + 0.360991i \(0.882438\pi\)
\(30\) 2432.76 7886.81i 0.0901022 0.292104i
\(31\) 2192.93 + 29262.6i 0.0736106 + 0.982265i 0.904679 + 0.426094i \(0.140111\pi\)
−0.831068 + 0.556170i \(0.812270\pi\)
\(32\) −19299.4 15390.8i −0.588971 0.469689i
\(33\) −30553.2 99051.2i −0.850189 2.75625i
\(34\) −51.0177 + 20.0230i −0.00129803 + 0.000509438i
\(35\) −2979.07 13052.2i −0.0694827 0.304423i
\(36\) 14992.7 25968.2i 0.321347 0.556589i
\(37\) −50576.6 + 29200.4i −0.998492 + 0.576480i −0.907802 0.419399i \(-0.862241\pi\)
−0.0906903 + 0.995879i \(0.528907\pi\)
\(38\) −44893.5 + 41655.1i −0.818150 + 0.759133i
\(39\) 7927.43 6321.91i 0.133641 0.106575i
\(40\) 14147.3 + 9645.50i 0.221052 + 0.150711i
\(41\) −32433.9 15619.4i −0.470596 0.226627i 0.183528 0.983014i \(-0.441248\pi\)
−0.654124 + 0.756387i \(0.726962\pi\)
\(42\) 116004.i 1.56575i
\(43\) −76240.7 22554.7i −0.958919 0.283682i
\(44\) 62129.4 0.729355
\(45\) −15441.7 + 32065.0i −0.169456 + 0.351880i
\(46\) −2984.75 + 4377.83i −0.0306645 + 0.0449765i
\(47\) 101675. + 127497.i 0.979313 + 1.22802i 0.973653 + 0.228035i \(0.0732301\pi\)
0.00565971 + 0.999984i \(0.498198\pi\)
\(48\) −51805.7 55833.2i −0.468440 0.504858i
\(49\) 35259.0 + 61070.3i 0.299696 + 0.519089i
\(50\) 78326.2 + 45221.7i 0.626610 + 0.361773i
\(51\) 376.059 85.8329i 0.00283495 0.000647058i
\(52\) 2220.34 + 5657.32i 0.0157910 + 0.0402347i
\(53\) −27738.6 + 8556.22i −0.186319 + 0.0574717i −0.386510 0.922285i \(-0.626320\pi\)
0.200192 + 0.979757i \(0.435844\pi\)
\(54\) 70720.1 88680.2i 0.449119 0.563178i
\(55\) −73534.6 + 5510.65i −0.441981 + 0.0331219i
\(56\) −229968. 70935.7i −1.30949 0.403925i
\(57\) 356130. 242805.i 1.92302 1.31109i
\(58\) 67511.7 10175.8i 0.346015 0.0521534i
\(59\) −36791.3 + 161193.i −0.179139 + 0.784858i 0.802890 + 0.596127i \(0.203295\pi\)
−0.982029 + 0.188731i \(0.939563\pi\)
\(60\) −25522.7 23681.6i −0.118161 0.109637i
\(61\) −370513. 27766.1i −1.63235 0.122328i −0.773239 0.634115i \(-0.781365\pi\)
−0.859112 + 0.511787i \(0.828984\pi\)
\(62\) −168381. 66084.8i −0.706511 0.277285i
\(63\) 74553.0 494627.i 0.298156 1.97813i
\(64\) 238325. 114771.i 0.909139 0.437818i
\(65\) −3129.71 6498.91i −0.0113963 0.0236647i
\(66\) 631817. + 95231.1i 2.19765 + 0.331243i
\(67\) −171597. + 437223.i −0.570540 + 1.45371i 0.296284 + 0.955100i \(0.404252\pi\)
−0.866825 + 0.498613i \(0.833843\pi\)
\(68\) −17.2774 + 230.551i −5.49481e−5 + 0.000733232i
\(69\) 25364.5 27336.4i 0.0772109 0.0832136i
\(70\) 80455.5 + 18363.4i 0.234564 + 0.0535377i
\(71\) −8115.23 53841.0i −0.0226739 0.150431i 0.974629 0.223826i \(-0.0718548\pi\)
−0.997303 + 0.0733948i \(0.976617\pi\)
\(72\) 360388. + 528592.i 0.965546 + 1.41620i
\(73\) −122309. + 396516.i −0.314405 + 1.01928i 0.651122 + 0.758973i \(0.274299\pi\)
−0.965527 + 0.260303i \(0.916178\pi\)
\(74\) −26902.2 358985.i −0.0663885 0.885893i
\(75\) −497672. 396880.i −1.17967 0.940753i
\(76\) 76149.1 + 246869.i 0.173470 + 0.562375i
\(77\) 964788. 378651.i 2.11329 0.829407i
\(78\) 13908.0 + 60934.7i 0.0293075 + 0.128405i
\(79\) −139496. + 241614.i −0.282931 + 0.490051i −0.972105 0.234545i \(-0.924640\pi\)
0.689174 + 0.724596i \(0.257973\pi\)
\(80\) −46924.6 + 27091.9i −0.0916495 + 0.0529139i
\(81\) 31038.3 28799.3i 0.0584040 0.0541910i
\(82\) 173491. 138354.i 0.314655 0.250929i
\(83\) −716648. 488602.i −1.25335 0.854518i −0.259551 0.965729i \(-0.583575\pi\)
−0.993797 + 0.111211i \(0.964527\pi\)
\(84\) 440895. + 212324.i 0.743871 + 0.358229i
\(85\) 274.407i 0.000446825i
\(86\) 329170. 363096.i 0.517517 0.570855i
\(87\) −480519. −0.729714
\(88\) −575141. + 1.19429e6i −0.843969 + 1.75252i
\(89\) −43381.7 + 63629.3i −0.0615370 + 0.0902582i −0.855774 0.517350i \(-0.826919\pi\)
0.794237 + 0.607608i \(0.207871\pi\)
\(90\) −136781. 171517.i −0.187628 0.235278i
\(91\) 68957.8 + 74318.9i 0.0915081 + 0.0986222i
\(92\) 11175.8 + 19357.0i 0.0143521 + 0.0248585i
\(93\) 1.10252e6 + 636541.i 1.37069 + 0.791366i
\(94\) −980012. + 223681.i −1.17991 + 0.269306i
\(95\) −112024. 285433.i −0.130660 0.332915i
\(96\) −1.02334e6 + 315659.i −1.15666 + 0.356784i
\(97\) 1.02821e6 1.28933e6i 1.12659 1.41270i 0.228136 0.973629i \(-0.426737\pi\)
0.898453 0.439069i \(-0.144692\pi\)
\(98\) −433468. + 32483.9i −0.460552 + 0.0345136i
\(99\) −2.63279e6 812110.i −2.71338 0.836968i
\(100\) 315236. 214925.i 0.315236 0.214925i
\(101\) −1.65008e6 + 248709.i −1.60155 + 0.241394i −0.888214 0.459431i \(-0.848053\pi\)
−0.713333 + 0.700825i \(0.752815\pi\)
\(102\) −529.087 + 2318.08i −0.000498571 + 0.00218438i
\(103\) 982166. + 911317.i 0.898821 + 0.833984i 0.986768 0.162141i \(-0.0518401\pi\)
−0.0879467 + 0.996125i \(0.528031\pi\)
\(104\) −129303. 9689.91i −0.114950 0.00861429i
\(105\) −540663. 212195.i −0.467045 0.183302i
\(106\) 26668.8 176936.i 0.0223916 0.148559i
\(107\) 1.45948e6 702847.i 1.19137 0.573732i 0.270164 0.962814i \(-0.412922\pi\)
0.921203 + 0.389082i \(0.127208\pi\)
\(108\) −207607. 431099.i −0.164805 0.342221i
\(109\) 432198. + 65143.4i 0.333736 + 0.0503026i 0.313773 0.949498i \(-0.398407\pi\)
0.0199633 + 0.999801i \(0.493645\pi\)
\(110\) 166065. 423128.i 0.124767 0.317902i
\(111\) −189339. + 2.52656e6i −0.138443 + 1.84740i
\(112\) 517991. 558262.i 0.368696 0.397360i
\(113\) 1.21096e6 + 276394.i 0.839258 + 0.191555i 0.620483 0.784220i \(-0.286937\pi\)
0.218775 + 0.975775i \(0.429794\pi\)
\(114\) 395991. + 2.62723e6i 0.267283 + 1.77330i
\(115\) −14944.2 21919.2i −0.00982607 0.0144122i
\(116\) 84893.2 275217.i 0.0543875 0.176320i
\(117\) −20140.6 268757.i −0.0125752 0.167804i
\(118\) −796822. 635444.i −0.484970 0.386751i
\(119\) 1136.81 + 3685.46i 0.000674604 + 0.00218701i
\(120\) 691491. 271390.i 0.400169 0.157055i
\(121\) −876101. 3.83845e6i −0.494536 2.16670i
\(122\) 1.14515e6 1.98346e6i 0.630642 1.09230i
\(123\) −1.35253e6 + 780884.i −0.726828 + 0.419634i
\(124\) −559361. + 519011.i −0.293377 + 0.272215i
\(125\) −731068. + 583007.i −0.374307 + 0.298500i
\(126\) 2.54762e6 + 1.73694e6i 1.27357 + 0.868305i
\(127\) 51535.7 + 24818.3i 0.0251592 + 0.0121160i 0.446421 0.894823i \(-0.352698\pi\)
−0.421262 + 0.906939i \(0.638413\pi\)
\(128\) 50717.5i 0.0241840i
\(129\) −2.67172e6 + 2.18166e6i −1.24458 + 1.01629i
\(130\) 44463.5 0.0202383
\(131\) 1.18237e6 2.45522e6i 0.525944 1.09213i −0.453656 0.891177i \(-0.649881\pi\)
0.979600 0.200957i \(-0.0644051\pi\)
\(132\) 1.51837e6 2.22704e6i 0.660172 0.968294i
\(133\) 2.68706e6 + 3.36946e6i 1.14215 + 1.43221i
\(134\) −1.96927e6 2.12237e6i −0.818447 0.882076i
\(135\) 283954. + 491823.i 0.115411 + 0.199898i
\(136\) −4271.88 2466.37i −0.00169825 0.000980486i
\(137\) −1.07834e6 + 246123.i −0.419365 + 0.0957174i −0.426996 0.904254i \(-0.640428\pi\)
0.00763078 + 0.999971i \(0.497571\pi\)
\(138\) 83980.5 + 213979.i 0.0319552 + 0.0814204i
\(139\) 1.04037e6 320910.i 0.387384 0.119492i −0.0949445 0.995483i \(-0.530267\pi\)
0.482328 + 0.875990i \(0.339791\pi\)
\(140\) 217053. 272176.i 0.0791011 0.0991896i
\(141\) 7.05498e6 528698.i 2.51674 0.188604i
\(142\) 320722. + 98929.5i 0.112012 + 0.0345510i
\(143\) 461389. 314570.i 0.157783 0.107574i
\(144\) −2.00188e6 + 301734.i −0.670424 + 0.101050i
\(145\) −76066.4 + 333269.i −0.0249510 + 0.109318i
\(146\) −1.87501e6 1.73976e6i −0.602485 0.559024i
\(147\) 3.05077e6 + 228624.i 0.960413 + 0.0719730i
\(148\) −1.41364e6 554811.i −0.436066 0.171143i
\(149\) −176820. + 1.17312e6i −0.0534531 + 0.354638i 0.946076 + 0.323945i \(0.105009\pi\)
−0.999529 + 0.0306927i \(0.990229\pi\)
\(150\) 3.53519e6 1.70246e6i 1.04746 0.504432i
\(151\) 1.74006e6 + 3.61328e6i 0.505399 + 1.04947i 0.985091 + 0.172035i \(0.0550342\pi\)
−0.479692 + 0.877437i \(0.659252\pi\)
\(152\) −5.45041e6 821517.i −1.55202 0.233930i
\(153\) 3745.75 9544.01i 0.00104584 0.00266475i
\(154\) −477430. + 6.37086e6i −0.130722 + 1.74436i
\(155\) 616009. 663900.i 0.165421 0.178282i
\(156\) 257051. + 58670.2i 0.0677088 + 0.0154541i
\(157\) 240639. + 1.59653e6i 0.0621822 + 0.412552i 0.998167 + 0.0605128i \(0.0192736\pi\)
−0.935985 + 0.352039i \(0.885488\pi\)
\(158\) −968769. 1.42092e6i −0.245612 0.360246i
\(159\) −371200. + 1.20340e6i −0.0923458 + 0.299378i
\(160\) 56933.0 + 759718.i 0.0138997 + 0.185478i
\(161\) 291518. + 232478.i 0.0698534 + 0.0557062i
\(162\) 76930.4 + 249402.i 0.0180948 + 0.0586618i
\(163\) 910700. 357423.i 0.210287 0.0825316i −0.257859 0.966182i \(-0.583017\pi\)
0.468147 + 0.883651i \(0.344922\pi\)
\(164\) −208299. 912620.i −0.0472233 0.206899i
\(165\) −1.59957e6 + 2.77054e6i −0.356084 + 0.616755i
\(166\) 4.63025e6 2.67328e6i 1.01223 0.584412i
\(167\) 2.66283e6 2.47075e6i 0.571735 0.530493i −0.340455 0.940261i \(-0.610581\pi\)
0.912190 + 0.409768i \(0.134390\pi\)
\(168\) −8.16287e6 + 6.50967e6i −1.72153 + 1.37288i
\(169\) −3.94296e6 2.68827e6i −0.816888 0.556945i
\(170\) 1523.97 + 733.907i 0.000310192 + 0.000149381i
\(171\) 1.14567e7i 2.29124i
\(172\) −777532. 1.91566e6i −0.152803 0.376472i
\(173\) −9.15335e6 −1.76783 −0.883917 0.467644i \(-0.845103\pi\)
−0.883917 + 0.467644i \(0.845103\pi\)
\(174\) 1.28516e6 2.66866e6i 0.243955 0.506577i
\(175\) 3.58534e6 5.25873e6i 0.668985 0.981220i
\(176\) −2.61535e6 3.27955e6i −0.479725 0.601556i
\(177\) 4.87888e6 + 5.25819e6i 0.879834 + 0.948235i
\(178\) −237353. 411107.i −0.0420857 0.0728946i
\(179\) −4.37376e6 2.52519e6i −0.762599 0.440287i 0.0676293 0.997711i \(-0.478456\pi\)
−0.830228 + 0.557424i \(0.811790\pi\)
\(180\) −902239. + 205930.i −0.154705 + 0.0353104i
\(181\) 75898.5 + 193386.i 0.0127996 + 0.0326129i 0.937131 0.348979i \(-0.113471\pi\)
−0.924331 + 0.381591i \(0.875376\pi\)
\(182\) −597175. + 184204.i −0.0990575 + 0.0305552i
\(183\) −1.00502e7 + 1.26026e7i −1.63992 + 2.05639i
\(184\) −475549. + 35637.5i −0.0763382 + 0.00572076i
\(185\) 1.72235e6 + 531274.i 0.272023 + 0.0839080i
\(186\) −6.48388e6 + 4.42064e6i −1.00762 + 0.686983i
\(187\) 21006.2 3166.18i 0.00321235 0.000484184i
\(188\) −943591. + 4.13414e6i −0.142007 + 0.622174i
\(189\) −5.85122e6 5.42914e6i −0.866685 0.804166i
\(190\) 1.88483e6 + 141248.i 0.274796 + 0.0205931i
\(191\) −6.04704e6 2.37329e6i −0.867846 0.340605i −0.110703 0.993854i \(-0.535310\pi\)
−0.757143 + 0.653249i \(0.773405\pi\)
\(192\) 1.71039e6 1.13477e7i 0.241653 1.60326i
\(193\) −4.92774e6 + 2.37308e6i −0.685451 + 0.330096i −0.743991 0.668189i \(-0.767070\pi\)
0.0585407 + 0.998285i \(0.481355\pi\)
\(194\) 4.41060e6 + 9.15871e6i 0.604078 + 1.25438i
\(195\) −309442. 46640.9i −0.0417326 0.00629018i
\(196\) −669924. + 1.70694e6i −0.0889728 + 0.226699i
\(197\) −395934. + 5.28338e6i −0.0517875 + 0.691056i 0.909534 + 0.415628i \(0.136438\pi\)
−0.961322 + 0.275427i \(0.911181\pi\)
\(198\) 1.15517e7 1.24498e7i 1.48816 1.60386i
\(199\) 8.62755e6 + 1.96918e6i 1.09478 + 0.249877i 0.731527 0.681812i \(-0.238808\pi\)
0.363256 + 0.931689i \(0.381665\pi\)
\(200\) 1.21323e6 + 8.04928e6i 0.151654 + 1.00616i
\(201\) 1.14787e7 + 1.68362e7i 1.41353 + 2.07327i
\(202\) 3.03191e6 9.82922e6i 0.367843 1.19252i
\(203\) −359047. 4.79115e6i −0.0429203 0.572732i
\(204\) 7841.94 + 6253.74i 0.000923705 + 0.000736630i
\(205\) 327483. + 1.06168e6i 0.0380126 + 0.123234i
\(206\) −7.68801e6 + 3.01732e6i −0.879453 + 0.345160i
\(207\) −220564. 966354.i −0.0248670 0.108950i
\(208\) 205161. 355349.i 0.0227984 0.0394880i
\(209\) 2.05578e7 1.18690e7i 2.25184 1.30010i
\(210\) 2.62449e6 2.43517e6i 0.283391 0.262949i
\(211\) 2.84702e6 2.27042e6i 0.303070 0.241690i −0.460132 0.887851i \(-0.652198\pi\)
0.763202 + 0.646160i \(0.223626\pi\)
\(212\) −623668. 425210.i −0.0654555 0.0446268i
\(213\) −2.12827e6 1.02492e6i −0.220236 0.106060i
\(214\) 9.98529e6i 1.01887i
\(215\) 1.09018e6 + 2.19836e6i 0.109694 + 0.221199i
\(216\) 1.02087e7 1.01300
\(217\) −5.52300e6 + 1.14686e7i −0.540500 + 1.12236i
\(218\) −1.51771e6 + 2.22607e6i −0.146494 + 0.214867i
\(219\) 1.12241e7 + 1.40746e7i 1.06861 + 1.34000i
\(220\) −1.30423e6 1.40563e6i −0.122486 0.132008i
\(221\) 1039.01 + 1799.62i 9.62592e−5 + 0.000166726i
\(222\) −1.35254e7 7.80888e6i −1.23621 0.713724i
\(223\) −860970. + 196511.i −0.0776378 + 0.0177203i −0.261163 0.965295i \(-0.584106\pi\)
0.183526 + 0.983015i \(0.441249\pi\)
\(224\) −3.91202e6 9.96766e6i −0.348062 0.886848i
\(225\) −1.61678e7 + 4.98711e6i −1.41940 + 0.437825i
\(226\) −4.77376e6 + 5.98611e6i −0.413557 + 0.518584i
\(227\) 1.56174e7 1.17036e6i 1.33515 0.100056i 0.612062 0.790810i \(-0.290340\pi\)
0.723090 + 0.690754i \(0.242721\pi\)
\(228\) 1.07101e7 + 3.30363e6i 0.903627 + 0.278732i
\(229\) −8.62975e6 + 5.88366e6i −0.718608 + 0.489938i −0.866571 0.499055i \(-0.833681\pi\)
0.147963 + 0.988993i \(0.452728\pi\)
\(230\) 161701. 24372.6i 0.0132902 0.00200317i
\(231\) 1.00055e7 4.38369e7i 0.811713 3.55635i
\(232\) 4.50453e6 + 4.17960e6i 0.360733 + 0.334711i
\(233\) −2.09982e7 1.57360e6i −1.66003 0.124402i −0.788592 0.614916i \(-0.789190\pi\)
−0.871433 + 0.490515i \(0.836809\pi\)
\(234\) 1.54647e6 + 606943.i 0.120696 + 0.0473697i
\(235\) 750124. 4.97675e6i 0.0578002 0.383479i
\(236\) −3.87357e6 + 1.86542e6i −0.294697 + 0.141919i
\(237\) 5.25160e6 + 1.09051e7i 0.394500 + 0.819187i
\(238\) −23508.4 3543.33i −0.00174378 0.000262833i
\(239\) 5.94646e6 1.51513e7i 0.435577 1.10983i −0.529603 0.848246i \(-0.677659\pi\)
0.965180 0.261586i \(-0.0842456\pi\)
\(240\) −175668. + 2.34412e6i −0.0127074 + 0.169569i
\(241\) 8.40709e6 9.06068e6i 0.600613 0.647306i −0.357427 0.933941i \(-0.616346\pi\)
0.958040 + 0.286635i \(0.0925365\pi\)
\(242\) 2.36608e7 + 5.40042e6i 1.66949 + 0.381049i
\(243\) −2.27307e6 1.50809e7i −0.158414 1.05101i
\(244\) −5.44254e6 7.98274e6i −0.374656 0.549519i
\(245\) 641504. 2.07970e6i 0.0436215 0.141418i
\(246\) −719424. 9.60005e6i −0.0483259 0.644864i
\(247\) 1.81544e6 + 1.44776e6i 0.120473 + 0.0960743i
\(248\) −4.79869e6 1.55570e7i −0.314606 1.01993i
\(249\) −3.50282e7 + 1.37476e7i −2.26892 + 0.890486i
\(250\) −1.28259e6 5.61940e6i −0.0820859 0.359642i
\(251\) −4.34035e6 + 7.51771e6i −0.274476 + 0.475406i −0.970003 0.243094i \(-0.921838\pi\)
0.695527 + 0.718500i \(0.255171\pi\)
\(252\) 1.12645e7 6.50359e6i 0.703901 0.406398i
\(253\) 1.50551e6 1.39691e6i 0.0929657 0.0862596i
\(254\) −275667. + 219837.i −0.0168222 + 0.0134153i
\(255\) −9836.19 6706.20i −0.000593207 0.000404442i
\(256\) 1.49711e7 + 7.20973e6i 0.892350 + 0.429733i
\(257\) 3.37276e7i 1.98695i 0.114057 + 0.993474i \(0.463615\pi\)
−0.114057 + 0.993474i \(0.536385\pi\)
\(258\) −4.97072e6 2.06728e7i −0.289441 1.20376i
\(259\) −2.53332e7 −1.45811
\(260\) 81382.6 168993.i 0.00463033 0.00961497i
\(261\) −7.19487e6 + 1.05529e7i −0.404670 + 0.593542i
\(262\) 1.04733e7 + 1.31331e7i 0.582343 + 0.730235i
\(263\) 1.31702e7 + 1.41941e7i 0.723976 + 0.780260i 0.982603 0.185717i \(-0.0594607\pi\)
−0.258628 + 0.965977i \(0.583270\pi\)
\(264\) 2.87539e7 + 4.98033e7i 1.56274 + 2.70674i
\(265\) 775870. + 447949.i 0.0416919 + 0.0240708i
\(266\) −2.58996e7 + 5.91142e6i −1.37610 + 0.314085i
\(267\) 1.22061e6 + 3.11006e6i 0.0641272 + 0.163393i
\(268\) −1.16709e7 + 3.59999e6i −0.606316 + 0.187024i
\(269\) 5.68071e6 7.12339e6i 0.291841 0.365957i −0.614198 0.789152i \(-0.710520\pi\)
0.906038 + 0.423195i \(0.139092\pi\)
\(270\) −3.49088e6 + 261606.i −0.177355 + 0.0132909i
\(271\) 9.96824e6 + 3.07479e6i 0.500853 + 0.154493i 0.534880 0.844928i \(-0.320357\pi\)
−0.0340265 + 0.999421i \(0.510833\pi\)
\(272\) 12897.1 8793.13i 0.000640895 0.000436955i
\(273\) 4.34923e6 655542.i 0.213759 0.0322190i
\(274\) 1.51714e6 6.64703e6i 0.0737520 0.323129i
\(275\) −2.56985e7 2.38447e7i −1.23569 1.14655i
\(276\) 966981. + 72465.2i 0.0459929 + 0.00344669i
\(277\) −9.68528e6 3.80119e6i −0.455693 0.178846i 0.126381 0.991982i \(-0.459664\pi\)
−0.582075 + 0.813135i \(0.697759\pi\)
\(278\) −1.00024e6 + 6.63617e6i −0.0465555 + 0.308875i
\(279\) 3.04876e7 1.46821e7i 1.40382 0.676043i
\(280\) 3.22266e6 + 6.69192e6i 0.146805 + 0.304843i
\(281\) 1.52550e7 + 2.29932e6i 0.687531 + 0.103629i 0.483511 0.875338i \(-0.339361\pi\)
0.204020 + 0.978967i \(0.434599\pi\)
\(282\) −1.59325e7 + 4.05953e7i −0.710455 + 1.81021i
\(283\) −334128. + 4.45863e6i −0.0147419 + 0.196717i 0.984970 + 0.172724i \(0.0552570\pi\)
−0.999712 + 0.0239930i \(0.992362\pi\)
\(284\) 963026. 1.03790e6i 0.0420420 0.0453105i
\(285\) −1.29692e7 2.96013e6i −0.560246 0.127872i
\(286\) 513032. + 3.40375e6i 0.0219304 + 0.145499i
\(287\) −8.79664e6 1.29023e7i −0.372110 0.545785i
\(288\) −8.39027e6 + 2.72006e7i −0.351235 + 1.13868i
\(289\) −1.80380e6 2.40700e7i −0.0747298 0.997201i
\(290\) −1.64744e6 1.31379e6i −0.0675483 0.0538680i
\(291\) −2.10882e7 6.83662e7i −0.855777 2.77436i
\(292\) −1.00442e7 + 3.94205e6i −0.403428 + 0.158334i
\(293\) −5.14076e6 2.25231e7i −0.204373 0.895418i −0.968236 0.250039i \(-0.919557\pi\)
0.763863 0.645379i \(-0.223301\pi\)
\(294\) −9.42908e6 + 1.63317e7i −0.371046 + 0.642670i
\(295\) 4.41920e6 2.55142e6i 0.172138 0.0993841i
\(296\) 2.37512e7 2.20379e7i 0.915820 0.849757i
\(297\) −3.43734e7 + 2.74119e7i −1.31206 + 1.04633i
\(298\) −6.04228e6 4.11956e6i −0.228324 0.155669i
\(299\) 181002. + 87165.8i 0.00677125 + 0.00326086i
\(300\) 1.65523e7i 0.613047i
\(301\) −2.37492e7 2.50090e7i −0.870861 0.917057i
\(302\) −2.47210e7 −0.897520
\(303\) −3.14110e7 + 6.52256e7i −1.12916 + 2.34472i
\(304\) 9.82568e6 1.44116e7i 0.349737 0.512970i
\(305\) 7.14968e6 + 8.96542e6i 0.251992 + 0.315988i
\(306\) 42986.6 + 46328.5i 0.00150027 + 0.00161690i
\(307\) −7.58935e6 1.31451e7i −0.262295 0.454308i 0.704557 0.709648i \(-0.251146\pi\)
−0.966851 + 0.255340i \(0.917813\pi\)
\(308\) 2.33399e7 + 1.34753e7i 0.798817 + 0.461197i
\(309\) 5.66695e7 1.29344e7i 1.92076 0.438401i
\(310\) 2.03957e6 + 5.19675e6i 0.0684628 + 0.174440i
\(311\) 1.04528e7 3.22428e6i 0.347499 0.107189i −0.116092 0.993238i \(-0.537037\pi\)
0.463591 + 0.886049i \(0.346561\pi\)
\(312\) −3.50736e6 + 4.39809e6i −0.115482 + 0.144810i
\(313\) 5.10938e7 3.82895e6i 1.66623 0.124867i 0.792046 0.610461i \(-0.209016\pi\)
0.874184 + 0.485594i \(0.161397\pi\)
\(314\) −9.51027e6 2.93353e6i −0.307188 0.0947549i
\(315\) −1.27555e7 + 8.69658e6i −0.408101 + 0.278238i
\(316\) −7.17367e6 + 1.08126e6i −0.227342 + 0.0342663i
\(317\) 4.99008e6 2.18630e7i 0.156650 0.686327i −0.834212 0.551444i \(-0.814077\pi\)
0.990862 0.134883i \(-0.0430659\pi\)
\(318\) −5.69056e6 5.28007e6i −0.176959 0.164194i
\(319\) −2.63899e7 1.97765e6i −0.812952 0.0609224i
\(320\) −7.59957e6 2.98261e6i −0.231921 0.0910221i
\(321\) 1.04743e7 6.94922e7i 0.316671 2.10097i
\(322\) −2.07078e6 + 997237.i −0.0620251 + 0.0298697i
\(323\) 38327.1 + 79587.0i 0.00113736 + 0.00236175i
\(324\) 1.08871e6 + 164097.i 0.0320094 + 0.00482464i
\(325\) 1.25284e6 3.19218e6i 0.0364959 0.0929901i
\(326\) −450665. + 6.01370e6i −0.0130077 + 0.173576i
\(327\) 1.28975e7 1.39002e7i 0.368861 0.397538i
\(328\) 1.94712e7 + 4.44419e6i 0.551788 + 0.125942i
\(329\) 1.05431e7 + 6.99486e7i 0.296060 + 1.96423i
\(330\) −1.11087e7 1.62934e7i −0.309115 0.453389i
\(331\) −1.79999e7 + 5.83543e7i −0.496348 + 1.60912i 0.267386 + 0.963589i \(0.413840\pi\)
−0.763734 + 0.645531i \(0.776636\pi\)
\(332\) −1.68548e6 2.24912e7i −0.0460584 0.614607i
\(333\) 5.26521e7 + 4.19887e7i 1.42588 + 1.13710i
\(334\) 6.60000e6 + 2.13967e7i 0.177135 + 0.574258i
\(335\) 1.34940e7 5.29601e6i 0.358927 0.140869i
\(336\) −7.35192e6 3.22109e7i −0.193813 0.849150i
\(337\) −1.61604e7 + 2.79905e7i −0.422242 + 0.731344i −0.996158 0.0875696i \(-0.972090\pi\)
0.573917 + 0.818914i \(0.305423\pi\)
\(338\) 2.54754e7 1.47082e7i 0.659737 0.380900i
\(339\) 3.95020e7 3.66525e7i 1.01396 0.940816i
\(340\) 5578.73 4448.89i 0.000141938 0.000113192i
\(341\) 5.79302e7 + 3.94961e7i 1.46097 + 0.996073i
\(342\) 6.36272e7 + 3.06412e7i 1.59061 + 0.765999i
\(343\) 2.04446e7i 0.506636i
\(344\) 4.40218e7 + 2.78729e6i 1.08142 + 0.0684711i
\(345\) −1.15092e6 −0.0280277
\(346\) 2.44809e7 5.08350e7i 0.591015 1.22725i
\(347\) −3.97395e7 + 5.82871e7i −0.951116 + 1.39503i −0.0326780 + 0.999466i \(0.510404\pi\)
−0.918438 + 0.395565i \(0.870549\pi\)
\(348\) −7.79053e6 9.76902e6i −0.184854 0.231800i
\(349\) −4.09485e7 4.41320e7i −0.963300 1.03819i −0.999246 0.0388368i \(-0.987635\pi\)
0.0359455 0.999354i \(-0.488556\pi\)
\(350\) 1.96164e7 + 3.39765e7i 0.457524 + 0.792455i
\(351\) −3.72446e6 2.15032e6i −0.0861276 0.0497258i
\(352\) −5.75006e7 + 1.31241e7i −1.31839 + 0.300914i
\(353\) 1.48736e7 + 3.78973e7i 0.338137 + 0.861558i 0.994269 + 0.106912i \(0.0340962\pi\)
−0.656132 + 0.754646i \(0.727809\pi\)
\(354\) −4.22511e7 + 1.30327e7i −0.952420 + 0.293783i
\(355\) −1.04775e6 + 1.31384e6i −0.0234193 + 0.0293669i
\(356\) −1.99693e6 + 149649.i −0.0442601 + 0.00331684i
\(357\) 159889. + 49319.2i 0.00351410 + 0.00108396i
\(358\) 2.57219e7 1.75369e7i 0.560602 0.382212i
\(359\) 5.20624e7 7.84715e6i 1.12523 0.169601i 0.440048 0.897974i \(-0.354961\pi\)
0.685181 + 0.728373i \(0.259723\pi\)
\(360\) 4.39364e6 1.92498e7i 0.0941709 0.412590i
\(361\) 3.78709e7 + 3.51391e7i 0.804979 + 0.746911i
\(362\) −1.27700e6 95698.1i −0.0269194 0.00201733i
\(363\) −1.59001e8 6.24034e7i −3.32415 1.30463i
\(364\) −392917. + 2.60684e6i −0.00814699 + 0.0540517i
\(365\) 1.15384e7 5.55659e6i 0.237283 0.114269i
\(366\) −4.31114e7 8.95218e7i −0.879324 1.82594i
\(367\) 3.72361e7 + 5.61244e6i 0.753297 + 0.113541i 0.514455 0.857517i \(-0.327994\pi\)
0.238842 + 0.971059i \(0.423232\pi\)
\(368\) 551328. 1.40476e6i 0.0110628 0.0281877i
\(369\) −3.10220e6 + 4.13959e7i −0.0617433 + 0.823907i
\(370\) −7.55701e6 + 8.14452e6i −0.149192 + 0.160790i
\(371\) −1.22762e7 2.80197e6i −0.240405 0.0548708i
\(372\) 4.93393e6 + 3.27345e7i 0.0958438 + 0.635882i
\(373\) 2.48149e7 + 3.63968e7i 0.478174 + 0.701353i 0.987216 0.159389i \(-0.0509525\pi\)
−0.509042 + 0.860742i \(0.670000\pi\)
\(374\) −38597.6 + 125130.i −0.000737812 + 0.00239193i
\(375\) 3.03156e6 + 4.04534e7i 0.0574874 + 0.767116i
\(376\) −7.07343e7 5.64087e7i −1.33066 1.06116i
\(377\) −763023. 2.47366e6i −0.0142401 0.0461654i
\(378\) 4.58011e7 1.79756e7i 0.848009 0.332819i
\(379\) −1.33470e7 5.84769e7i −0.245169 1.07415i −0.936238 0.351366i \(-0.885717\pi\)
0.691070 0.722788i \(-0.257140\pi\)
\(380\) 3.98668e6 6.90513e6i 0.0726542 0.125841i
\(381\) 2.14910e6 1.24078e6i 0.0388580 0.0224347i
\(382\) 2.93535e7 2.72361e7i 0.526587 0.488601i
\(383\) −2.11225e6 + 1.68446e6i −0.0375967 + 0.0299823i −0.642108 0.766614i \(-0.721940\pi\)
0.604511 + 0.796597i \(0.293368\pi\)
\(384\) 1.81798e6 + 1.23948e6i 0.0321068 + 0.0218900i
\(385\) −2.88197e7 1.38788e7i −0.505018 0.243204i
\(386\) 3.37141e7i 0.586205i
\(387\) 7.90863e6 + 9.13413e7i 0.136448 + 1.57592i
\(388\) 4.28824e7 0.734148
\(389\) −3.30230e7 + 6.85729e7i −0.561006 + 1.16494i 0.406864 + 0.913489i \(0.366622\pi\)
−0.967870 + 0.251452i \(0.919092\pi\)
\(390\) 1.08664e6 1.59381e6i 0.0183186 0.0268684i
\(391\) 4765.04 + 5975.17i 7.97142e−5 + 9.99585e-5i
\(392\) −2.66103e7 2.86791e7i −0.441766 0.476110i
\(393\) −5.91121e7 1.02385e8i −0.973865 1.68678i
\(394\) −2.82834e7 1.63294e7i −0.462427 0.266982i
\(395\) 8.39465e6 1.91602e6i 0.136211 0.0310892i
\(396\) −2.61745e7 6.66916e7i −0.421496 1.07395i
\(397\) −5.69613e7 + 1.75702e7i −0.910351 + 0.280806i −0.714342 0.699796i \(-0.753274\pi\)
−0.196008 + 0.980602i \(0.562798\pi\)
\(398\) −3.40108e7 + 4.26482e7i −0.539471 + 0.676475i
\(399\) 1.86448e8 1.39724e7i 2.93521 0.219964i
\(400\) −2.46149e7 7.59270e6i −0.384608 0.118636i
\(401\) −3.94638e7 + 2.69060e7i −0.612021 + 0.417269i −0.829271 0.558847i \(-0.811244\pi\)
0.217250 + 0.976116i \(0.430291\pi\)
\(402\) −1.24204e8 + 1.87207e7i −1.91186 + 0.288166i
\(403\) −1.52614e6 + 6.68644e6i −0.0233173 + 0.102160i
\(404\) −3.18086e7 2.95140e7i −0.482392 0.447594i
\(405\) −1.30312e6 97655.5i −0.0196164 0.00147005i
\(406\) 2.75689e7 + 1.08200e7i 0.411947 + 0.161677i
\(407\) −2.07969e7 + 1.37978e8i −0.308471 + 2.04657i
\(408\) −192808. + 92851.3i −0.00283886 + 0.00136712i
\(409\) 2.10114e7 + 4.36307e7i 0.307104 + 0.637708i 0.996213 0.0869501i \(-0.0277121\pi\)
−0.689109 + 0.724658i \(0.741998\pi\)
\(410\) −6.77210e6 1.02073e6i −0.0982588 0.0148101i
\(411\) −1.75310e7 + 4.46682e7i −0.252511 + 0.643389i
\(412\) −2.60359e6 + 3.47425e7i −0.0372290 + 0.496787i
\(413\) −4.87827e7 + 5.25752e7i −0.692493 + 0.746330i
\(414\) 5.95675e6 + 1.35959e6i 0.0839477 + 0.0191605i
\(415\) 3.98977e6 + 2.64704e7i 0.0558218 + 0.370353i
\(416\) −3.24996e6 4.76682e6i −0.0451438 0.0662138i
\(417\) 1.39223e7 4.51349e7i 0.192000 0.622450i
\(418\) 1.09349e7 + 1.45916e8i 0.149722 + 1.99790i
\(419\) 5.21468e6 + 4.15857e6i 0.0708902 + 0.0565330i 0.658294 0.752761i \(-0.271278\pi\)
−0.587404 + 0.809294i \(0.699850\pi\)
\(420\) −4.45169e6 1.44320e7i −0.0600865 0.194796i
\(421\) 2.94393e7 1.15541e7i 0.394531 0.154842i −0.159778 0.987153i \(-0.551078\pi\)
0.554309 + 0.832311i \(0.312983\pi\)
\(422\) 4.99484e6 + 2.18838e7i 0.0664636 + 0.291196i
\(423\) 9.40241e7 1.62855e8i 1.24228 2.15169i
\(424\) 1.39471e7 8.05234e6i 0.182972 0.105639i
\(425\) 95630.1 88731.8i 0.00124574 0.00115588i
\(426\) 1.13842e7 9.07863e6i 0.147257 0.117433i
\(427\) −1.33167e8 9.07917e7i −1.71046 1.16617i
\(428\) 3.79511e7 + 1.82763e7i 0.484053 + 0.233108i
\(429\) 2.42264e7i 0.306843i
\(430\) −1.51247e7 + 174972.i −0.190231 + 0.00220071i
\(431\) 6.78554e7 0.847526 0.423763 0.905773i \(-0.360709\pi\)
0.423763 + 0.905773i \(0.360709\pi\)
\(432\) −1.40167e7 + 2.91059e7i −0.173858 + 0.361019i
\(433\) 8.03763e7 1.17890e8i 0.990067 1.45216i 0.100727 0.994914i \(-0.467883\pi\)
0.889340 0.457247i \(-0.151165\pi\)
\(434\) −4.89220e7 6.13462e7i −0.598460 0.750445i
\(435\) 1.00871e7 + 1.08713e7i 0.122546 + 0.132073i
\(436\) 5.68274e6 + 9.84280e6i 0.0685644 + 0.118757i
\(437\) 7.39583e6 + 4.26998e6i 0.0886222 + 0.0511660i
\(438\) −1.08185e8 + 2.46926e7i −1.28750 + 0.293863i
\(439\) −4.61819e7 1.17670e8i −0.545856 1.39082i −0.891743 0.452542i \(-0.850517\pi\)
0.345887 0.938276i \(-0.387578\pi\)
\(440\) 3.90933e7 1.20587e7i 0.458928 0.141561i
\(441\) 5.07006e7 6.35765e7i 0.591149 0.741278i
\(442\) −12773.4 + 957.234i −0.000147924 + 1.10854e-5i
\(443\) −6.90184e7 2.12894e7i −0.793878 0.244879i −0.128817 0.991668i \(-0.541118\pi\)
−0.665061 + 0.746789i \(0.731594\pi\)
\(444\) −5.44351e7 + 3.71132e7i −0.621913 + 0.424013i
\(445\) 2.35024e6 354241.i 0.0266705 0.00401993i
\(446\) 1.21132e6 5.30715e6i 0.0136538 0.0598214i
\(447\) 3.77297e7 + 3.50080e7i 0.422436 + 0.391963i
\(448\) 1.14424e8 + 8.57487e6i 1.27257 + 0.0953660i
\(449\) 6.07471e7 + 2.38415e7i 0.671099 + 0.263387i 0.676329 0.736599i \(-0.263570\pi\)
−0.00523029 + 0.999986i \(0.501665\pi\)
\(450\) 1.55443e7 1.03129e8i 0.170582 1.13174i
\(451\) −7.74942e7 + 3.73192e7i −0.844772 + 0.406821i
\(452\) 1.40139e7 + 2.91002e7i 0.151755 + 0.315123i
\(453\) 1.72044e8 + 2.59315e7i 1.85074 + 0.278954i
\(454\) −3.52692e7 + 8.98646e7i −0.376902 + 0.960331i
\(455\) 233829. 3.12023e6i 0.00248235 0.0331247i
\(456\) −1.62650e8 + 1.75295e8i −1.71537 + 1.84873i
\(457\) 2.09220e7 + 4.77531e6i 0.219207 + 0.0500325i 0.330714 0.943731i \(-0.392711\pi\)
−0.111507 + 0.993764i \(0.535568\pi\)
\(458\) −9.59567e6 6.36631e7i −0.0998801 0.662661i
\(459\) −92162.0 135177.i −0.000953046 0.00139786i
\(460\) 203333. 659188.i 0.00208898 0.00677230i
\(461\) −2.46717e6 3.29221e7i −0.0251824 0.336036i −0.995539 0.0943561i \(-0.969921\pi\)
0.970356 0.241679i \(-0.0776983\pi\)
\(462\) 2.16698e8 + 1.72811e8i 2.19750 + 1.75244i
\(463\) 1.99863e7 + 6.47938e7i 0.201367 + 0.652816i 0.998780 + 0.0493819i \(0.0157252\pi\)
−0.797413 + 0.603434i \(0.793799\pi\)
\(464\) −1.81011e7 + 7.10418e6i −0.181197 + 0.0711148i
\(465\) −8.74309e6 3.83060e7i −0.0869573 0.380985i
\(466\) 6.48996e7 1.12409e8i 0.641334 1.11082i
\(467\) 3.64224e7 2.10285e7i 0.357616 0.206470i −0.310418 0.950600i \(-0.600469\pi\)
0.668035 + 0.744130i \(0.267136\pi\)
\(468\) 5.13734e6 4.76676e6i 0.0501188 0.0465035i
\(469\) −1.59293e8 + 1.27032e8i −1.54411 + 1.23139i
\(470\) 2.56332e7 + 1.74764e7i 0.246893 + 0.168329i
\(471\) 6.31091e7 + 3.03917e7i 0.603989 + 0.290866i
\(472\) 9.17289e7i 0.872329i
\(473\) −1.55709e8 + 1.08820e8i −1.47139 + 1.02831i
\(474\) −7.46091e7 −0.700578
\(475\) 6.32489e7 1.31338e8i 0.590163 1.22549i
\(476\) −56495.1 + 82863.1i −0.000523830 + 0.000768317i
\(477\) 2.08705e7 + 2.61708e7i 0.192300 + 0.241136i
\(478\) 6.82421e7 + 7.35475e7i 0.624840 + 0.673418i
\(479\) −6.19860e7 1.07363e8i −0.564011 0.976895i −0.997141 0.0755640i \(-0.975924\pi\)
0.433130 0.901331i \(-0.357409\pi\)
\(480\) 2.86237e7 + 1.65259e7i 0.258823 + 0.149431i
\(481\) −1.33071e7 + 3.03727e6i −0.119577 + 0.0272928i
\(482\) 2.78354e7 + 7.09235e7i 0.248575 + 0.633358i
\(483\) 1.54576e7 4.76804e6i 0.137183 0.0423154i
\(484\) 6.38322e7 8.00431e7i 0.562994 0.705973i
\(485\) −5.07544e7 + 3.80351e6i −0.444885 + 0.0333396i
\(486\) 8.98341e7 + 2.77102e7i 0.782587 + 0.241396i
\(487\) 1.87958e8 1.28148e8i 1.62733 1.10949i 0.715752 0.698355i \(-0.246084\pi\)
0.911574 0.411137i \(-0.134868\pi\)
\(488\) 2.03832e8 3.07227e7i 1.75393 0.264363i
\(489\) 9.44457e6 4.13793e7i 0.0807710 0.353881i
\(490\) 9.83435e6 + 9.12495e6i 0.0835906 + 0.0775608i
\(491\) 6.61607e7 + 4.95806e6i 0.558928 + 0.0418859i 0.351199 0.936301i \(-0.385774\pi\)
0.207728 + 0.978187i \(0.433393\pi\)
\(492\) −3.78037e7 1.48369e7i −0.317424 0.124580i
\(493\) 14677.4 97378.3i 0.000122492 0.000812684i
\(494\) −1.28959e7 + 6.21034e6i −0.106972 + 0.0515151i
\(495\) 3.68948e7 + 7.66127e7i 0.304193 + 0.631663i
\(496\) 5.09429e7 + 7.67840e6i 0.417482 + 0.0629254i
\(497\) 8.62902e6 2.19864e7i 0.0702898 0.179095i
\(498\) 1.73339e7 2.31305e8i 0.140348 1.87282i
\(499\) 9.97916e6 1.07550e7i 0.0803142 0.0865581i −0.691616 0.722265i \(-0.743101\pi\)
0.771930 + 0.635707i \(0.219291\pi\)
\(500\) −2.37052e7 5.41057e6i −0.189642 0.0432845i
\(501\) −2.34880e7 1.55832e8i −0.186781 1.23921i
\(502\) −3.01428e7 4.42114e7i −0.238272 0.349480i
\(503\) −1.29592e7 + 4.20128e7i −0.101830 + 0.330124i −0.992124 0.125262i \(-0.960023\pi\)
0.890294 + 0.455386i \(0.150499\pi\)
\(504\) 2.07387e7 + 2.76739e8i 0.161991 + 2.16162i
\(505\) 4.02655e7 + 3.21107e7i 0.312650 + 0.249330i
\(506\) 3.73151e6 + 1.20973e7i 0.0288027 + 0.0933760i
\(507\) −1.92723e8 + 7.56384e7i −1.47880 + 0.580388i
\(508\) 330976. + 1.45010e6i 0.00252468 + 0.0110613i
\(509\) −1.07086e7 + 1.85479e7i −0.0812045 + 0.140650i −0.903768 0.428024i \(-0.859210\pi\)
0.822563 + 0.568674i \(0.192543\pi\)
\(510\) 63551.4 36691.4i 0.000479087 0.000276601i
\(511\) −1.31948e8 + 1.22430e8i −0.988872 + 0.917540i
\(512\) −8.26192e7 + 6.58866e7i −0.615561 + 0.490893i
\(513\) −1.51050e8 1.02984e8i −1.11884 0.762815i
\(514\) −1.87313e8 9.02054e7i −1.37937 0.664268i
\(515\) 4.13512e7i 0.302738i
\(516\) −8.76694e7 1.89457e7i −0.638115 0.137899i
\(517\) 3.89632e8 2.81957
\(518\) 6.77544e7 1.40693e8i 0.487470 1.01224i
\(519\) −2.23698e8 + 3.28104e8i −1.60015 + 2.34698i
\(520\) 2.49512e6 + 3.12878e6i 0.0177452 + 0.0222518i
\(521\) −6.70376e7 7.22494e7i −0.474030 0.510882i 0.450091 0.892983i \(-0.351391\pi\)
−0.924121 + 0.382100i \(0.875201\pi\)
\(522\) −3.93650e7 6.81823e7i −0.276757 0.479358i
\(523\) −8.27235e6 4.77604e6i −0.0578261 0.0333859i 0.470808 0.882236i \(-0.343962\pi\)
−0.528634 + 0.848850i \(0.677296\pi\)
\(524\) 6.90844e7 1.57681e7i 0.480160 0.109593i
\(525\) −1.00879e8 2.57035e8i −0.697143 1.77629i
\(526\) −1.14054e8 + 3.51809e7i −0.783704 + 0.241741i
\(527\) −162673. + 203986.i −0.00111143 + 0.00139369i
\(528\) −1.81473e8 + 1.35995e7i −1.23285 + 0.0923892i
\(529\) −1.40753e8 4.34166e7i −0.950803 0.293284i
\(530\) −4.56286e6 + 3.11091e6i −0.0306485 + 0.0208958i
\(531\) 1.88530e8 2.84163e7i 1.25921 0.189795i
\(532\) −2.49371e7 + 1.09257e8i −0.165619 + 0.725626i
\(533\) −6.16761e6 5.72271e6i −0.0407320 0.0377938i
\(534\) −2.05369e7 1.53903e6i −0.134869 0.0101070i
\(535\) −4.65389e7 1.82652e7i −0.303917 0.119279i
\(536\) 3.88377e7 2.57671e8i 0.252208 1.67329i
\(537\) −1.97406e8 + 9.50658e7i −1.27479 + 0.613905i
\(538\) 2.43680e7 + 5.06007e7i 0.156485 + 0.324945i
\(539\) 1.66606e8 + 2.51118e7i 1.06396 + 0.160366i
\(540\) −5.39516e6 + 1.37466e7i −0.0342628 + 0.0873002i
\(541\) 7.82980e6 1.04481e8i 0.0494491 0.659853i −0.916320 0.400448i \(-0.868855\pi\)
0.965769 0.259405i \(-0.0835264\pi\)
\(542\) −4.37368e7 + 4.71371e7i −0.274694 + 0.296050i
\(543\) 8.78686e6 + 2.00554e6i 0.0548825 + 0.0125266i
\(544\) −32711.2 217025.i −0.000203189 0.00134807i
\(545\) −7.59896e6 1.11456e7i −0.0469423 0.0688517i
\(546\) −7.99145e6 + 2.59076e7i −0.0490962 + 0.159166i
\(547\) 1.17518e7 + 1.56817e8i 0.0718030 + 0.958145i 0.910490 + 0.413531i \(0.135705\pi\)
−0.838687 + 0.544614i \(0.816676\pi\)
\(548\) −2.24865e7 1.79324e7i −0.136641 0.108967i
\(549\) 1.26289e8 + 4.09418e8i 0.763216 + 2.47428i
\(550\) 2.01158e8 7.89486e7i 1.20906 0.474522i
\(551\) −2.44867e7 1.07283e8i −0.146378 0.641324i
\(552\) −1.03445e7 + 1.79171e7i −0.0615022 + 0.106525i
\(553\) −1.04808e8 + 6.05109e7i −0.619753 + 0.357815i
\(554\) 4.70142e7 4.36228e7i 0.276503 0.256557i
\(555\) 6.11360e7 4.87543e7i 0.357617 0.285190i
\(556\) 2.33913e7 + 1.59480e7i 0.136091 + 0.0927856i
\(557\) −1.65347e8 7.96269e7i −0.956821 0.460781i −0.110749 0.993848i \(-0.535325\pi\)
−0.846073 + 0.533068i \(0.821039\pi\)
\(558\) 2.08587e8i 1.20056i
\(559\) −1.54734e7 1.02894e7i −0.0885831 0.0589056i
\(560\) −2.35040e7 −0.133837
\(561\) 399877. 830352.i 0.00226484 0.00470299i
\(562\) −5.35696e7 + 7.85721e7i −0.301793 + 0.442649i
\(563\) −3.26447e6 4.09352e6i −0.0182931 0.0229388i 0.772601 0.634892i \(-0.218955\pi\)
−0.790894 + 0.611953i \(0.790384\pi\)
\(564\) 1.25129e8 + 1.34857e8i 0.697463 + 0.751687i
\(565\) −1.91675e7 3.31991e7i −0.106272 0.184069i
\(566\) −2.38683e7 1.37804e7i −0.131635 0.0759997i
\(567\) 1.79064e7 4.08701e6i 0.0982332 0.0224211i
\(568\) 1.10362e7 + 2.81199e7i 0.0602249 + 0.153451i
\(569\) −3.30512e7 + 1.01950e7i −0.179412 + 0.0553412i −0.383159 0.923682i \(-0.625164\pi\)
0.203748 + 0.979023i \(0.434688\pi\)
\(570\) 5.11262e7 6.41102e7i 0.276070 0.346180i
\(571\) −2.00287e8 + 1.50094e7i −1.07583 + 0.0806223i −0.600840 0.799369i \(-0.705167\pi\)
−0.474990 + 0.879991i \(0.657548\pi\)
\(572\) 1.38757e7 + 4.28007e6i 0.0741422 + 0.0228698i
\(573\) −2.32854e8 + 1.58757e8i −1.23771 + 0.843859i
\(574\) 9.51824e7 1.43464e7i 0.503293 0.0758593i
\(575\) 2.80643e6 1.22958e7i 0.0147622 0.0646774i
\(576\) −2.23604e8 2.07474e8i −1.17007 1.08567i
\(577\) 2.27161e8 + 1.70234e7i 1.18252 + 0.0886173i 0.651435 0.758704i \(-0.274167\pi\)
0.531080 + 0.847322i \(0.321786\pi\)
\(578\) 1.38502e8 + 5.43580e7i 0.717253 + 0.281501i
\(579\) −3.53650e7 + 2.34632e8i −0.182196 + 1.20879i
\(580\) −8.00865e6 + 3.85676e6i −0.0410464 + 0.0197669i
\(581\) −1.63247e8 3.38986e8i −0.832371 1.72844i
\(582\) 4.36087e8 + 6.57295e7i 2.21210 + 0.333420i
\(583\) −2.53389e7 + 6.45626e7i −0.127874 + 0.325818i
\(584\) 1.72038e7 2.29568e8i 0.0863744 1.15259i
\(585\) −5.65762e6 + 6.09746e6i −0.0282596 + 0.0304566i
\(586\) 1.38836e8 + 3.16884e7i 0.689936 + 0.157473i
\(587\) −2.19519e7 1.45641e8i −0.108532 0.720062i −0.975224 0.221219i \(-0.928996\pi\)
0.866692 0.498843i \(-0.166242\pi\)
\(588\) 4.48135e7 + 6.57293e7i 0.220433 + 0.323316i
\(589\) −8.59344e7 + 2.78592e8i −0.420553 + 1.36340i
\(590\) 2.35062e6 + 3.13668e7i 0.0114453 + 0.152726i
\(591\) 1.79708e8 + 1.43312e8i 0.870572 + 0.694258i
\(592\) 3.02212e7 + 9.79748e7i 0.145662 + 0.472225i
\(593\) −3.64182e8 + 1.42931e8i −1.74644 + 0.685428i −0.746645 + 0.665222i \(0.768337\pi\)
−0.999796 + 0.0202056i \(0.993568\pi\)
\(594\) −6.03051e7 2.64214e8i −0.287736 1.26065i
\(595\) 59516.4 103085.i 0.000282544 0.000489380i
\(596\) −2.67165e7 + 1.54248e7i −0.126195 + 0.0728586i
\(597\) 2.81434e8 2.61132e8i 1.32267 1.22726i
\(598\) −968187. + 772103.i −0.00452747 + 0.00361054i
\(599\) −1.21914e8 8.31193e7i −0.567246 0.386742i 0.245468 0.969405i \(-0.421058\pi\)
−0.812714 + 0.582663i \(0.802011\pi\)
\(600\) 3.18179e8 + 1.53227e8i 1.47305 + 0.709383i
\(601\) 1.86308e7i 0.0858239i −0.999079 0.0429119i \(-0.986337\pi\)
0.999079 0.0429119i \(-0.0136635\pi\)
\(602\) 2.02410e8 6.50089e7i 0.927776 0.297977i
\(603\) 5.41622e8 2.47027
\(604\) −4.52473e7 + 9.39570e7i −0.205344 + 0.426401i
\(605\) −6.84505e7 + 1.00398e8i −0.309108 + 0.453378i
\(606\) −2.78234e8 3.48895e8i −1.25024 1.56775i
\(607\) −1.73743e7 1.87250e7i −0.0776857 0.0837253i 0.693013 0.720925i \(-0.256283\pi\)
−0.770698 + 0.637200i \(0.780092\pi\)
\(608\) −1.22624e8 2.12392e8i −0.545589 0.944988i
\(609\) −1.80515e8 1.04220e8i −0.799210 0.461424i
\(610\) −6.89133e7 + 1.57290e7i −0.303608 + 0.0692966i
\(611\) 1.39244e7 + 3.54788e7i 0.0610454 + 0.155541i
\(612\) 254760. 78583.1i 0.00111142 0.000342827i
\(613\) 2.78916e8 3.49750e8i 1.21085 1.51836i 0.418604 0.908169i \(-0.362520\pi\)
0.792251 0.610195i \(-0.208909\pi\)
\(614\) 9.33021e7 6.99203e6i 0.403076 0.0302063i
\(615\) 4.60594e7 + 1.42074e7i 0.198013 + 0.0610788i
\(616\) −4.75092e8 + 3.23913e8i −2.03253 + 1.38575i
\(617\) −7.26686e7 + 1.09530e7i −0.309379 + 0.0466314i −0.301897 0.953341i \(-0.597620\pi\)
−0.00748239 + 0.999972i \(0.502382\pi\)
\(618\) −7.97298e7 + 3.49319e8i −0.337797 + 1.47998i
\(619\) 1.06006e7 + 9.83590e6i 0.0446949 + 0.0414708i 0.702204 0.711976i \(-0.252199\pi\)
−0.657509 + 0.753447i \(0.728390\pi\)
\(620\) 2.34844e7 + 1.75991e6i 0.0985381 + 0.00738441i
\(621\) −1.47235e7 5.77855e6i −0.0614804 0.0241293i
\(622\) −1.00497e7 + 6.66755e7i −0.0417621 + 0.277073i
\(623\) −3.00977e7 + 1.44943e7i −0.124471 + 0.0599421i
\(624\) −7.72368e6 1.60384e7i −0.0317885 0.0660095i
\(625\) −1.98160e8 2.98678e7i −0.811664 0.122339i
\(626\) −1.15387e8 + 2.94001e8i −0.470363 + 1.19846i
\(627\) 7.69604e7 1.02697e9i 0.312223 4.16633i
\(628\) −2.85563e7 + 3.07764e7i −0.115298 + 0.124262i
\(629\) −506230. 115544.i −0.00203421 0.000464296i
\(630\) −1.41833e7 9.40998e7i −0.0567224 0.376329i
\(631\) −2.28951e8 3.35809e8i −0.911286 1.33661i −0.941481 0.337066i \(-0.890565\pi\)
0.0301954 0.999544i \(-0.490387\pi\)
\(632\) 4.56231e7 1.47906e8i 0.180731 0.585917i
\(633\) −1.18059e7 1.57539e8i −0.0465466 0.621121i
\(634\) 1.08074e8 + 8.61865e7i 0.424087 + 0.338198i
\(635\) −520353. 1.68694e6i −0.00203225 0.00658839i
\(636\) −3.04835e7 + 1.19639e7i −0.118493 + 0.0465052i
\(637\) 3.66744e6 + 1.60681e7i 0.0141888 + 0.0621651i
\(638\) 8.15636e7 1.41272e8i 0.314076 0.543995i
\(639\) −5.43758e7 + 3.13939e7i −0.208403 + 0.120321i
\(640\) 1.14744e6 1.06467e6i 0.00437714 0.00406140i
\(641\) 3.22212e8 2.56955e8i 1.22340 0.975626i 0.223396 0.974728i \(-0.428286\pi\)
1.00000 0.000898002i \(-0.000285843\pi\)
\(642\) 3.57926e8 + 2.44029e8i 1.35266 + 0.922226i
\(643\) 2.93238e8 + 1.41216e8i 1.10303 + 0.531191i 0.894610 0.446849i \(-0.147454\pi\)
0.208420 + 0.978039i \(0.433168\pi\)
\(644\) 9.69570e6i 0.0363013i
\(645\) 1.05443e8 + 1.46477e7i 0.392953 + 0.0545870i
\(646\) −544510. −0.00201980
\(647\) −2.01537e8 + 4.18495e8i −0.744117 + 1.54517i 0.0914650 + 0.995808i \(0.470845\pi\)
−0.835582 + 0.549366i \(0.814869\pi\)
\(648\) −1.32327e7 + 1.94089e7i −0.0486323 + 0.0713305i
\(649\) 2.46305e8 + 3.08857e8i 0.901030 + 1.12986i
\(650\) 1.43777e7 + 1.54954e7i 0.0523538 + 0.0564240i
\(651\) 2.76120e8 + 4.78254e8i 1.00082 + 1.73347i
\(652\) 2.20314e7 + 1.27199e7i 0.0794877 + 0.0458922i
\(653\) 5.17646e8 1.18149e8i 1.85906 0.424318i 0.862418 0.506198i \(-0.168949\pi\)
0.996642 + 0.0818792i \(0.0260922\pi\)
\(654\) 4.27030e7 + 1.08806e8i 0.152660 + 0.388972i
\(655\) −8.03677e7 + 2.47902e7i −0.285995 + 0.0882176i
\(656\) −3.94050e7 + 4.94122e7i −0.139585 + 0.175034i
\(657\) 4.77160e8 3.57582e7i 1.68255 0.126090i
\(658\) −4.16672e8 1.28526e8i −1.46257 0.451143i
\(659\) 5.18347e7 3.53403e7i 0.181119 0.123485i −0.469367 0.883003i \(-0.655518\pi\)
0.650486 + 0.759518i \(0.274565\pi\)
\(660\) −8.22590e7 + 1.23986e7i −0.286122 + 0.0431260i
\(661\) 4.30819e7 1.88754e8i 0.149173 0.653570i −0.843943 0.536433i \(-0.819771\pi\)
0.993116 0.117137i \(-0.0373715\pi\)
\(662\) −2.75941e8 2.56036e8i −0.951136 0.882526i
\(663\) 89900.0 + 6737.07i 0.000308474 + 2.31170e-5i
\(664\) 4.47943e8 + 1.75805e8i 1.53009 + 0.600518i
\(665\) 1.98242e7 1.31525e8i 0.0674109 0.447242i
\(666\) −3.74012e8 + 1.80115e8i −1.26609 + 0.609715i
\(667\) −4.13083e6 8.57776e6i −0.0139207 0.0289065i
\(668\) 9.34026e7 + 1.40782e7i 0.313350 + 0.0472299i
\(669\) −1.39972e7 + 3.56642e7i −0.0467479 + 0.119112i
\(670\) −6.67758e6 + 8.91061e7i −0.0222021 + 0.296267i
\(671\) −6.03821e8 + 6.50764e8i −1.99867 + 2.15405i
\(672\) −4.52899e8 1.03371e8i −1.49243 0.340637i
\(673\) 5.76988e7 + 3.82807e8i 0.189287 + 1.25584i 0.858517 + 0.512784i \(0.171386\pi\)
−0.669230 + 0.743055i \(0.733376\pi\)
\(674\) −1.12230e8 1.64611e8i −0.366547 0.537626i
\(675\) −7.95802e7 + 2.57993e8i −0.258758 + 0.838873i
\(676\) −9.27343e6 1.23745e8i −0.0300193 0.400579i
\(677\) 3.46094e8 + 2.76000e8i 1.11539 + 0.889495i 0.994662 0.103190i \(-0.0329050\pi\)
0.120730 + 0.992685i \(0.461476\pi\)
\(678\) 9.79083e7 + 3.17411e8i 0.314145 + 1.01843i
\(679\) 6.65908e8 2.61349e8i 2.12718 0.834857i
\(680\) 33876.4 + 148422.i 0.000107738 + 0.000472032i
\(681\) 3.39720e8 5.88412e8i 1.07567 1.86312i
\(682\) −3.74286e8 + 2.16094e8i −1.17991 + 0.681223i
\(683\) −2.42899e8 + 2.25377e8i −0.762366 + 0.707373i −0.962166 0.272464i \(-0.912161\pi\)
0.199800 + 0.979837i \(0.435971\pi\)
\(684\) 2.32916e8 1.85745e8i 0.727833 0.580428i
\(685\) 2.82049e7 + 1.92298e7i 0.0877513 + 0.0598278i
\(686\) 1.13543e8 + 5.46796e7i 0.351714 + 0.169376i
\(687\) 4.53126e8i 1.39749i
\(688\) −6.83892e7 + 1.21683e8i −0.210001 + 0.373649i
\(689\) −6.78443e6 −0.0207422
\(690\) 3.07816e6 6.39187e6i 0.00937010 0.0194572i
\(691\) −4.11455e7 + 6.03493e7i −0.124706 + 0.182910i −0.883515 0.468403i \(-0.844829\pi\)
0.758809 + 0.651314i \(0.225782\pi\)
\(692\) −1.48401e8 1.86089e8i −0.447835 0.561568i
\(693\) −8.12913e8 8.76112e8i −2.44256 2.63245i
\(694\) −2.17425e8 3.76592e8i −0.650476 1.12666i
\(695\) −2.90999e7 1.68008e7i −0.0866835 0.0500467i
\(696\) 2.59905e8 5.93216e7i 0.770879 0.175948i
\(697\) −116935. 297946.i −0.000345340 0.000879911i
\(698\) 3.54614e8 1.09384e8i 1.04277 0.321653i
\(699\) −5.69580e8 + 7.14230e8i −1.66772 + 2.09125i
\(700\) 1.65039e8 1.23680e7i 0.481163 0.0360582i
\(701\) 5.10775e8 + 1.57553e8i 1.48278 + 0.457376i 0.927352 0.374190i \(-0.122079\pi\)
0.555425 + 0.831567i \(0.312556\pi\)
\(702\) 2.19034e7 1.49335e7i 0.0633141 0.0431668i
\(703\) −5.73743e8 + 8.64778e7i −1.65140 + 0.248908i
\(704\) 1.40637e8 6.16173e8i 0.403072 1.76597i
\(705\) −1.60061e8 1.48515e8i −0.456791 0.423840i
\(706\) −2.50251e8 1.87537e7i −0.711149 0.0532933i
\(707\) −6.73821e8 2.64455e8i −1.90672 0.748331i
\(708\) −2.77996e7 + 1.84438e8i −0.0783318 + 0.519698i
\(709\) −1.40939e8 + 6.78726e7i −0.395451 + 0.190439i −0.621032 0.783785i \(-0.713286\pi\)
0.225581 + 0.974224i \(0.427572\pi\)
\(710\) −4.49444e6 9.33281e6i −0.0125574 0.0260758i
\(711\) 3.18125e8 + 4.79496e7i 0.885093 + 0.133406i
\(712\) 1.56092e7 3.97716e7i 0.0432455 0.110188i
\(713\) −1.88497e6 + 2.51532e7i −0.00520040 + 0.0693945i
\(714\) −701532. + 756071.i −0.00192731 + 0.00207715i
\(715\) −1.68025e7 3.83505e6i −0.0459679 0.0104919i
\(716\) −1.95732e7 1.29860e8i −0.0533240 0.353781i
\(717\) −3.97779e8 5.83435e8i −1.07916 1.58283i
\(718\) −9.56615e7 + 3.10127e8i −0.258442 + 0.837849i
\(719\) −7.76572e6 1.03626e8i −0.0208927 0.278794i −0.997859 0.0654006i \(-0.979167\pi\)
0.976966 0.213393i \(-0.0684516\pi\)
\(720\) 4.88502e7 + 3.89567e7i 0.130879 + 0.104372i
\(721\) 1.71310e8 + 5.55374e8i 0.457064 + 1.48177i
\(722\) −2.96439e8 + 1.16344e8i −0.787633 + 0.309123i
\(723\) −1.19323e8 5.22788e8i −0.315725 1.38328i
\(724\) −2.70105e6 + 4.67835e6i −0.00711732 + 0.0123276i
\(725\) −1.40740e8 + 8.12563e7i −0.369321 + 0.213227i
\(726\) 7.71823e8 7.16147e8i 2.01701 1.87151i
\(727\) −1.86002e8 + 1.48332e8i −0.484078 + 0.386039i −0.834899 0.550403i \(-0.814474\pi\)
0.350821 + 0.936443i \(0.385903\pi\)
\(728\) −4.64731e7 3.16848e7i −0.120450 0.0821215i
\(729\) −5.68319e8 2.73688e8i −1.46693 0.706437i
\(730\) 7.89420e7i 0.202927i
\(731\) −360511. 608069.i −0.000922926 0.00155669i
\(732\) −4.19154e8 −1.06866
\(733\) 1.82117e8 3.78169e8i 0.462421 0.960228i −0.531177 0.847261i \(-0.678250\pi\)
0.993599 0.112967i \(-0.0360355\pi\)
\(734\) −1.30759e8 + 1.91788e8i −0.330661 + 0.484990i
\(735\) −5.88700e7 7.38206e7i −0.148263 0.185915i
\(736\) −1.44321e7 1.55541e7i −0.0361990 0.0390132i
\(737\) 5.61115e8 + 9.71879e8i 1.40168 + 2.42778i
\(738\) −2.21604e8 1.27943e8i −0.551326 0.318308i
\(739\) 2.37806e8 5.42777e7i 0.589236 0.134489i 0.0825009 0.996591i \(-0.473709\pi\)
0.506735 + 0.862102i \(0.330852\pi\)
\(740\) 1.71231e7 + 4.36290e7i 0.0422560 + 0.107666i
\(741\) 9.62629e7 2.96932e7i 0.236594 0.0729797i
\(742\) 4.83944e7 6.06846e7i 0.118463 0.148548i
\(743\) −4.96269e8 + 3.71902e7i −1.20990 + 0.0906697i −0.664360 0.747413i \(-0.731296\pi\)
−0.545543 + 0.838083i \(0.683677\pi\)
\(744\) −6.74919e8 2.08185e8i −1.63882 0.505511i
\(745\) 3.02528e7 2.06260e7i 0.0731639 0.0498823i
\(746\) −2.68505e8 + 4.04706e7i −0.646750 + 0.0974818i
\(747\) −2.22564e8 + 9.75117e8i −0.533941 + 2.33935i
\(748\) 404938. + 375727.i 0.000967572 + 0.000897776i
\(749\) 7.00717e8 + 5.25115e7i 1.66762 + 0.124971i
\(750\) −2.32774e8 9.13572e7i −0.551761 0.216550i
\(751\) 8.52792e7 5.65791e8i 0.201337 1.33578i −0.628514 0.777798i \(-0.716337\pi\)
0.829851 0.557985i \(-0.188425\pi\)
\(752\) 2.57945e8 1.24220e8i 0.606559 0.292104i
\(753\) 1.63401e8 + 3.39306e8i 0.382710 + 0.794706i
\(754\) 1.57787e7 + 2.37826e6i 0.0368093 + 0.00554811i
\(755\) 4.52198e7 1.15218e8i 0.105072 0.267719i
\(756\) 1.55108e7 2.06978e8i 0.0358979 0.479025i
\(757\) −1.77710e7 + 1.91526e7i −0.0409660 + 0.0441508i −0.753202 0.657789i \(-0.771492\pi\)
0.712236 + 0.701940i \(0.247682\pi\)
\(758\) 3.60460e8 + 8.22727e7i 0.827656 + 0.188907i
\(759\) −1.32796e7 8.81045e7i −0.0303711 0.201499i
\(760\) 9.58298e7 + 1.40557e8i 0.218303 + 0.320192i
\(761\) 4.82768e7 1.56510e8i 0.109543 0.355130i −0.884159 0.467187i \(-0.845268\pi\)
0.993702 + 0.112057i \(0.0357438\pi\)
\(762\) 1.14313e6 + 1.52540e7i 0.00258362 + 0.0344761i
\(763\) 1.48233e8 + 1.18212e8i 0.333712 + 0.266126i