Properties

Label 43.7.h.a.12.12
Level $43$
Weight $7$
Character 43.12
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 12.12
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965900 + 2.00571i) q^{2} +(-22.0783 - 32.3829i) q^{3} +(36.8134 - 46.1626i) q^{4} +(89.0872 - 96.0132i) q^{5} +(43.6253 - 75.5612i) q^{6} +(-260.183 + 150.217i) q^{7} +(267.050 + 60.9524i) q^{8} +(-294.867 + 751.308i) q^{9} +O(q^{10})\) \(q+(0.965900 + 2.00571i) q^{2} +(-22.0783 - 32.3829i) q^{3} +(36.8134 - 46.1626i) q^{4} +(89.0872 - 96.0132i) q^{5} +(43.6253 - 75.5612i) q^{6} +(-260.183 + 150.217i) q^{7} +(267.050 + 60.9524i) q^{8} +(-294.867 + 751.308i) q^{9} +(278.624 + 85.9441i) q^{10} +(-688.672 - 863.568i) q^{11} +(-2307.65 - 172.935i) q^{12} +(-194.444 + 59.9779i) q^{13} +(-552.601 - 376.757i) q^{14} +(-5076.07 - 765.095i) q^{15} +(-705.177 - 3089.58i) q^{16} +(-2896.09 + 2687.18i) q^{17} +(-1791.72 + 134.271i) q^{18} +(6018.67 - 2362.15i) q^{19} +(-1152.61 - 7647.07i) q^{20} +(10608.8 + 5108.94i) q^{21} +(1066.88 - 2215.40i) q^{22} +(-9947.15 + 1499.29i) q^{23} +(-3922.18 - 9993.56i) q^{24} +(-114.342 - 1525.79i) q^{25} +(-308.111 - 332.065i) q^{26} +(2984.23 - 681.130i) q^{27} +(-2643.83 + 17540.7i) q^{28} +(-8256.13 + 12109.5i) q^{29} +(-3368.42 - 10920.1i) q^{30} +(1510.66 - 20158.4i) q^{31} +(19221.8 - 15328.8i) q^{32} +(-12760.1 + 41367.3i) q^{33} +(-8187.05 - 3213.18i) q^{34} +(-8756.18 + 38363.3i) q^{35} +(23827.3 + 41270.0i) q^{36} +(-22051.8 - 12731.6i) q^{37} +(10551.2 + 9790.11i) q^{38} +(6235.23 + 4972.43i) q^{39} +(29643.0 - 20210.2i) q^{40} +(110543. - 53234.5i) q^{41} +26213.0i q^{42} +(66717.8 - 43244.7i) q^{43} -65216.9 q^{44} +(45866.6 + 95243.0i) q^{45} +(-12615.1 - 18502.9i) q^{46} +(126501. - 158627. i) q^{47} +(-84480.5 + 91048.3i) q^{48} +(-13694.5 + 23719.5i) q^{49} +(2949.84 - 1703.09i) q^{50} +(150959. + 34455.5i) q^{51} +(-4389.40 + 11184.0i) q^{52} +(83932.2 + 25889.7i) q^{53} +(4248.61 + 5327.59i) q^{54} +(-144266. - 10811.2i) q^{55} +(-78637.8 + 24256.5i) q^{56} +(-209375. - 142750. i) q^{57} +(-32262.8 - 4862.83i) q^{58} +(-38425.0 - 168351. i) q^{59} +(-222186. + 206159. i) q^{60} +(-164507. + 12328.1i) q^{61} +(41891.1 - 16441.1i) q^{62} +(-36139.7 - 239771. i) q^{63} +(-133422. - 64252.5i) q^{64} +(-11563.8 + 24012.4i) q^{65} +(-95295.8 + 14363.5i) q^{66} +(96234.1 + 245200. i) q^{67} +(17432.1 + 232616. i) q^{68} +(268167. + 289015. i) q^{69} +(-85403.4 + 19492.8i) q^{70} +(59714.9 - 396182. i) q^{71} +(-124538. + 182664. i) q^{72} +(-153990. - 499223. i) q^{73} +(4236.11 - 56527.0i) q^{74} +(-46884.9 + 37389.4i) q^{75} +(112525. - 364796. i) q^{76} +(308903. + 121235. i) q^{77} +(-3950.66 + 17309.0i) q^{78} +(-313604. - 543178. i) q^{79} +(-359463. - 207536. i) q^{80} +(343366. + 318597. i) q^{81} +(213546. + 170297. i) q^{82} +(-421420. + 287319. i) q^{83} +(626389. - 301653. i) q^{84} +517457. i q^{85} +(151179. + 92046.6i) q^{86} +574422. q^{87} +(-131273. - 272592. i) q^{88} +(-340.516 - 499.445i) q^{89} +(-146727. + 183990. i) q^{90} +(41581.2 - 44813.9i) q^{91} +(-296978. + 514380. i) q^{92} +(-686140. + 396143. i) q^{93} +(440346. + 100506. i) q^{94} +(309389. - 788310. i) q^{95} +(-920774. - 284021. i) q^{96} +(880902. + 1.10462e6i) q^{97} +(-60802.0 - 4556.48i) q^{98} +(851872. - 262768. 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965900 + 2.00571i 0.120737 + 0.250714i 0.952574 0.304307i \(-0.0984247\pi\)
−0.831837 + 0.555020i \(0.812710\pi\)
\(3\) −22.0783 32.3829i −0.817713 1.19937i −0.977233 0.212171i \(-0.931947\pi\)
0.159519 0.987195i \(-0.449006\pi\)
\(4\) 36.8134 46.1626i 0.575210 0.721290i
\(5\) 89.0872 96.0132i 0.712698 0.768105i −0.268046 0.963406i \(-0.586378\pi\)
0.980743 + 0.195301i \(0.0625683\pi\)
\(6\) 43.6253 75.5612i 0.201969 0.349821i
\(7\) −260.183 + 150.217i −0.758550 + 0.437949i −0.828775 0.559582i \(-0.810962\pi\)
0.0702248 + 0.997531i \(0.477628\pi\)
\(8\) 267.050 + 60.9524i 0.521582 + 0.119048i
\(9\) −294.867 + 751.308i −0.404481 + 1.03060i
\(10\) 278.624 + 85.9441i 0.278624 + 0.0859441i
\(11\) −688.672 863.568i −0.517410 0.648811i 0.452647 0.891690i \(-0.350480\pi\)
−0.970057 + 0.242879i \(0.921908\pi\)
\(12\) −2307.65 172.935i −1.33545 0.100078i
\(13\) −194.444 + 59.9779i −0.0885042 + 0.0272999i −0.338691 0.940898i \(-0.609984\pi\)
0.250187 + 0.968198i \(0.419508\pi\)
\(14\) −552.601 376.757i −0.201385 0.137302i
\(15\) −5076.07 765.095i −1.50402 0.226695i
\(16\) −705.177 3089.58i −0.172162 0.754293i
\(17\) −2896.09 + 2687.18i −0.589476 + 0.546954i −0.917510 0.397712i \(-0.869804\pi\)
0.328034 + 0.944666i \(0.393614\pi\)
\(18\) −1791.72 + 134.271i −0.307222 + 0.0230231i
\(19\) 6018.67 2362.15i 0.877485 0.344388i 0.116526 0.993188i \(-0.462824\pi\)
0.760959 + 0.648800i \(0.224729\pi\)
\(20\) −1152.61 7647.07i −0.144076 0.955884i
\(21\) 10608.8 + 5108.94i 1.14554 + 0.551662i
\(22\) 1066.88 2215.40i 0.100195 0.208058i
\(23\) −9947.15 + 1499.29i −0.817552 + 0.123226i −0.544487 0.838770i \(-0.683275\pi\)
−0.273065 + 0.961996i \(0.588037\pi\)
\(24\) −3922.18 9993.56i −0.283723 0.722914i
\(25\) −114.342 1525.79i −0.00731788 0.0976503i
\(26\) −308.111 332.065i −0.0175302 0.0188931i
\(27\) 2984.23 681.130i 0.151614 0.0346050i
\(28\) −2643.83 + 17540.7i −0.120437 + 0.799048i
\(29\) −8256.13 + 12109.5i −0.338518 + 0.496515i −0.957319 0.289033i \(-0.906666\pi\)
0.618801 + 0.785548i \(0.287619\pi\)
\(30\) −3368.42 10920.1i −0.124756 0.404450i
\(31\) 1510.66 20158.4i 0.0507087 0.676661i −0.912701 0.408628i \(-0.866007\pi\)
0.963410 0.268033i \(-0.0863736\pi\)
\(32\) 19221.8 15328.8i 0.586601 0.467799i
\(33\) −12760.1 + 41367.3i −0.355069 + 1.15110i
\(34\) −8187.05 3213.18i −0.208301 0.0817520i
\(35\) −8756.18 + 38363.3i −0.204226 + 0.894772i
\(36\) 23827.3 + 41270.0i 0.510701 + 0.884560i
\(37\) −22051.8 12731.6i −0.435350 0.251349i 0.266273 0.963898i \(-0.414208\pi\)
−0.701623 + 0.712548i \(0.747541\pi\)
\(38\) 10551.2 + 9790.11i 0.192288 + 0.178417i
\(39\) 6235.23 + 4972.43i 0.105114 + 0.0838253i
\(40\) 29643.0 20210.2i 0.463171 0.315785i
\(41\) 110543. 53234.5i 1.60390 0.772398i 0.604200 0.796833i \(-0.293493\pi\)
0.999701 + 0.0244341i \(0.00777841\pi\)
\(42\) 26213.0i 0.353809i
\(43\) 66717.8 43244.7i 0.839143 0.543910i
\(44\) −65216.9 −0.765600
\(45\) 45866.6 + 95243.0i 0.503337 + 1.04519i
\(46\) −12615.1 18502.9i −0.129604 0.190094i
\(47\) 126501. 158627.i 1.21842 1.52786i 0.442857 0.896592i \(-0.353965\pi\)
0.775568 0.631264i \(-0.217464\pi\)
\(48\) −84480.5 + 91048.3i −0.763893 + 0.823281i
\(49\) −13694.5 + 23719.5i −0.116401 + 0.201613i
\(50\) 2949.84 1703.09i 0.0235988 0.0136247i
\(51\) 150959. + 34455.5i 1.13802 + 0.259746i
\(52\) −4389.40 + 11184.0i −0.0312173 + 0.0795404i
\(53\) 83932.2 + 25889.7i 0.563769 + 0.173900i 0.563523 0.826100i \(-0.309446\pi\)
0.000245660 1.00000i \(0.499922\pi\)
\(54\) 4248.61 + 5327.59i 0.0269815 + 0.0338337i
\(55\) −144266. 10811.2i −0.867112 0.0649811i
\(56\) −78637.8 + 24256.5i −0.447783 + 0.138123i
\(57\) −209375. 142750.i −1.13058 0.770815i
\(58\) −32262.8 4862.83i −0.165355 0.0249233i
\(59\) −38425.0 168351.i −0.187093 0.819709i −0.978139 0.207952i \(-0.933320\pi\)
0.791046 0.611757i \(-0.209537\pi\)
\(60\) −222186. + 206159.i −1.02864 + 0.954439i
\(61\) −164507. + 12328.1i −0.724760 + 0.0543133i −0.432001 0.901873i \(-0.642192\pi\)
−0.292759 + 0.956186i \(0.594573\pi\)
\(62\) 41891.1 16441.1i 0.175771 0.0689850i
\(63\) −36139.7 239771.i −0.144532 0.958904i
\(64\) −133422. 64252.5i −0.508963 0.245104i
\(65\) −11563.8 + 24012.4i −0.0421075 + 0.0874371i
\(66\) −95295.8 + 14363.5i −0.331468 + 0.0499608i
\(67\) 96234.1 + 245200.i 0.319966 + 0.815261i 0.996860 + 0.0791805i \(0.0252304\pi\)
−0.676894 + 0.736081i \(0.736674\pi\)
\(68\) 17432.1 + 232616.i 0.0554401 + 0.739796i
\(69\) 268167. + 289015.i 0.816316 + 0.879779i
\(70\) −85403.4 + 19492.8i −0.248989 + 0.0568302i
\(71\) 59714.9 396182.i 0.166843 1.10693i −0.736007 0.676974i \(-0.763291\pi\)
0.902850 0.429956i \(-0.141471\pi\)
\(72\) −124538. + 182664.i −0.333660 + 0.489390i
\(73\) −153990. 499223.i −0.395844 1.28329i −0.906024 0.423227i \(-0.860897\pi\)
0.510180 0.860068i \(-0.329579\pi\)
\(74\) 4236.11 56527.0i 0.0104538 0.139496i
\(75\) −46884.9 + 37389.4i −0.111134 + 0.0886268i
\(76\) 112525. 364796.i 0.256335 0.831017i
\(77\) 308903. + 121235.i 0.676627 + 0.265557i
\(78\) −3950.66 + 17309.0i −0.00832502 + 0.0364743i
\(79\) −313604. 543178.i −0.636064 1.10169i −0.986289 0.165029i \(-0.947228\pi\)
0.350225 0.936666i \(-0.386105\pi\)
\(80\) −359463. 207536.i −0.702076 0.405344i
\(81\) 343366. + 318597.i 0.646104 + 0.599497i
\(82\) 213546. + 170297.i 0.387302 + 0.308863i
\(83\) −421420. + 287319.i −0.737022 + 0.502493i −0.872698 0.488260i \(-0.837632\pi\)
0.135676 + 0.990753i \(0.456679\pi\)
\(84\) 626389. 301653.i 1.05683 0.508944i
\(85\) 517457.i 0.842592i
\(86\) 151179. + 92046.6i 0.237682 + 0.144715i
\(87\) 574422. 0.872315
\(88\) −131273. 272592.i −0.192632 0.400004i
\(89\) −340.516 499.445i −0.000483022 0.000708463i 0.825997 0.563674i \(-0.190613\pi\)
−0.826480 + 0.562966i \(0.809660\pi\)
\(90\) −146727. + 183990.i −0.201272 + 0.252387i
\(91\) 41581.2 44813.9i 0.0551789 0.0594687i
\(92\) −296978. + 514380.i −0.381382 + 0.660573i
\(93\) −686140. + 396143.i −0.853029 + 0.492497i
\(94\) 440346. + 100506.i 0.530164 + 0.121007i
\(95\) 309389. 788310.i 0.360856 0.919446i
\(96\) −920774. 284021.i −1.04073 0.321024i
\(97\) 880902. + 1.10462e6i 0.965189 + 1.21031i 0.977618 + 0.210386i \(0.0674720\pi\)
−0.0124295 + 0.999923i \(0.503957\pi\)
\(98\) −60802.0 4556.48i −0.0646011 0.00484118i
\(99\) 851872. 262768.i 0.877948 0.270811i
\(100\) −74643.5 50891.1i −0.0746435 0.0508911i
\(101\) 534907. + 80624.3i 0.519176 + 0.0782532i 0.403403 0.915023i \(-0.367827\pi\)
0.115773 + 0.993276i \(0.463065\pi\)
\(102\) 76703.9 + 336062.i 0.0722798 + 0.316678i
\(103\) −916821. + 850686.i −0.839021 + 0.778498i −0.977292 0.211896i \(-0.932036\pi\)
0.138271 + 0.990394i \(0.455846\pi\)
\(104\) −55581.9 + 4165.29i −0.0494121 + 0.00370293i
\(105\) 1.43564e6 563446.i 1.24016 0.486726i
\(106\) 29142.9 + 193351.i 0.0244689 + 0.162341i
\(107\) −897417. 432173.i −0.732560 0.352782i 0.0301307 0.999546i \(-0.490408\pi\)
−0.762690 + 0.646764i \(0.776122\pi\)
\(108\) 78416.9 162834.i 0.0622499 0.129263i
\(109\) 944694. 142390.i 0.729477 0.109951i 0.226206 0.974080i \(-0.427368\pi\)
0.503271 + 0.864129i \(0.332130\pi\)
\(110\) −117662. 299798.i −0.0884013 0.225243i
\(111\) 74579.3 + 995192.i 0.0545317 + 0.727676i
\(112\) 647582. + 697927.i 0.460936 + 0.496771i
\(113\) 2.35137e6 536685.i 1.62962 0.371949i 0.692624 0.721299i \(-0.256454\pi\)
0.936993 + 0.349349i \(0.113597\pi\)
\(114\) 84079.0 557828.i 0.0567510 0.376518i
\(115\) −742212. + 1.08863e6i −0.488017 + 0.715789i
\(116\) 255070. + 826917.i 0.163413 + 0.529771i
\(117\) 12273.1 163773.i 0.00766293 0.102255i
\(118\) 300549. 239680.i 0.182923 0.145876i
\(119\) 349854. 1.13420e6i 0.207609 0.673052i
\(120\) −1.30893e6 513717.i −0.757483 0.297290i
\(121\) 122730. 537714.i 0.0692777 0.303525i
\(122\) −183624. 318045.i −0.101123 0.175150i
\(123\) −4.16447e6 2.40436e6i −2.23792 1.29206i
\(124\) −874952. 811837.i −0.458901 0.425798i
\(125\) 1.44335e6 + 1.15104e6i 0.738997 + 0.589330i
\(126\) 446004. 304081.i 0.222960 0.152012i
\(127\) −1.97081e6 + 949090.i −0.962127 + 0.463336i −0.847922 0.530121i \(-0.822146\pi\)
−0.114205 + 0.993457i \(0.536432\pi\)
\(128\) 1.90314e6i 0.907489i
\(129\) −2.87340e6 1.20575e6i −1.33853 0.561677i
\(130\) −59331.4 −0.0270057
\(131\) 53902.6 + 111930.i 0.0239770 + 0.0497888i 0.912613 0.408824i \(-0.134061\pi\)
−0.888636 + 0.458612i \(0.848347\pi\)
\(132\) 1.43988e6 + 2.11191e6i 0.626042 + 0.918235i
\(133\) −1.21112e6 + 1.51870e6i −0.514792 + 0.645529i
\(134\) −398849. + 429857.i −0.165765 + 0.178653i
\(135\) 200459. 347205.i 0.0814750 0.141119i
\(136\) −937191. + 541088.i −0.372573 + 0.215105i
\(137\) 1.35846e6 + 310059.i 0.528304 + 0.120582i 0.478349 0.878170i \(-0.341235\pi\)
0.0499545 + 0.998751i \(0.484092\pi\)
\(138\) −320659. + 817026.i −0.122013 + 0.310884i
\(139\) 326793. + 100802.i 0.121682 + 0.0375341i 0.354998 0.934867i \(-0.384481\pi\)
−0.233316 + 0.972401i \(0.574958\pi\)
\(140\) 1.44861e6 + 1.81649e6i 0.527918 + 0.661988i
\(141\) −7.92970e6 594249.i −2.82878 0.211988i
\(142\) 852306. 262902.i 0.297667 0.0918180i
\(143\) 185703. + 126610.i 0.0635054 + 0.0432972i
\(144\) 2.52916e6 + 381210.i 0.847011 + 0.127666i
\(145\) 427158. + 1.87150e6i 0.140115 + 0.613883i
\(146\) 852559. 791059.i 0.273947 0.254185i
\(147\) 1.07046e6 80219.7i 0.336990 0.0252539i
\(148\) −1.39953e6 + 549273.i −0.431714 + 0.169435i
\(149\) −281893. 1.87024e6i −0.0852169 0.565377i −0.990170 0.139867i \(-0.955333\pi\)
0.904953 0.425511i \(-0.139906\pi\)
\(150\) −120278. 57923.1i −0.0356381 0.0171624i
\(151\) 2.56395e6 5.32411e6i 0.744697 1.54638i −0.0901697 0.995926i \(-0.528741\pi\)
0.834867 0.550452i \(-0.185545\pi\)
\(152\) 1.75126e6 263961.i 0.498679 0.0751637i
\(153\) −1.16494e6 2.96822e6i −0.325259 0.828746i
\(154\) 55205.9 + 736671.i 0.0151155 + 0.201703i
\(155\) −1.80089e6 1.94090e6i −0.483607 0.521205i
\(156\) 459081. 104782.i 0.120925 0.0276003i
\(157\) −970512. + 6.43893e6i −0.250785 + 1.66385i 0.409103 + 0.912488i \(0.365842\pi\)
−0.659888 + 0.751364i \(0.729396\pi\)
\(158\) 786549. 1.15366e6i 0.199413 0.292486i
\(159\) −1.01470e6 3.28956e6i −0.252432 0.818365i
\(160\) 240642. 3.21114e6i 0.0587505 0.783971i
\(161\) 2.36286e6 1.88432e6i 0.566187 0.451519i
\(162\) −307357. + 996427.i −0.0722933 + 0.234369i
\(163\) −400195. 157065.i −0.0924078 0.0362674i 0.318687 0.947860i \(-0.396758\pi\)
−0.411095 + 0.911593i \(0.634853\pi\)
\(164\) 1.61201e6 7.06267e6i 0.365457 1.60117i
\(165\) 2.83504e6 + 4.91043e6i 0.631113 + 1.09312i
\(166\) −983328. 567725.i −0.214968 0.124112i
\(167\) 5.14141e6 + 4.77053e6i 1.10391 + 1.02428i 0.999558 + 0.0297366i \(0.00946684\pi\)
0.104350 + 0.994541i \(0.466724\pi\)
\(168\) 2.52168e6 + 2.01097e6i 0.531817 + 0.424110i
\(169\) −3.95389e6 + 2.69571e6i −0.819151 + 0.558488i
\(170\) −1.03787e6 + 499811.i −0.211250 + 0.101732i
\(171\) 5.21840e6i 1.04364i
\(172\) 459824. 4.67185e6i 0.0903663 0.918129i
\(173\) 5.72699e6 1.10608 0.553042 0.833154i \(-0.313467\pi\)
0.553042 + 0.833154i \(0.313467\pi\)
\(174\) 554834. + 1.15212e6i 0.105321 + 0.218701i
\(175\) 258948. + 379807.i 0.0483168 + 0.0708678i
\(176\) −2.18243e6 + 2.73668e6i −0.400315 + 0.501979i
\(177\) −4.60333e6 + 4.96121e6i −0.830142 + 0.894680i
\(178\) 672.838 1165.39i 0.000119303 0.000206638i
\(179\) −1.02411e6 + 591273.i −0.178562 + 0.103093i −0.586617 0.809865i \(-0.699541\pi\)
0.408055 + 0.912957i \(0.366207\pi\)
\(180\) 6.08517e6 + 1.38890e6i 1.04341 + 0.238152i
\(181\) −3.18195e6 + 8.10748e6i −0.536609 + 1.36726i 0.363502 + 0.931594i \(0.381581\pi\)
−0.900110 + 0.435663i \(0.856514\pi\)
\(182\) 130047. + 40114.2i 0.0215718 + 0.00665401i
\(183\) 4.03124e6 + 5.05502e6i 0.657788 + 0.824839i
\(184\) −2.74777e6 205917.i −0.441090 0.0330551i
\(185\) −3.18693e6 + 983039.i −0.503336 + 0.155259i
\(186\) −1.45729e6 993564.i −0.226468 0.154404i
\(187\) 4.31502e6 + 650385.i 0.659870 + 0.0994594i
\(188\) −2.66570e6 1.16792e7i −0.401178 1.75768i
\(189\) −674127. + 625499.i −0.0998519 + 0.0926490i
\(190\) 1.87996e6 140884.i 0.274087 0.0205400i
\(191\) 1.04344e7 4.09519e6i 1.49750 0.587724i 0.531679 0.846946i \(-0.321561\pi\)
0.965818 + 0.259222i \(0.0834661\pi\)
\(192\) 865039. + 5.73916e6i 0.122217 + 0.810857i
\(193\) −5.37178e6 2.58691e6i −0.747217 0.359841i 0.0212129 0.999775i \(-0.493247\pi\)
−0.768430 + 0.639934i \(0.778962\pi\)
\(194\) −1.36468e6 + 2.83378e6i −0.186907 + 0.388116i
\(195\) 1.03290e6 155684.i 0.139301 0.0209962i
\(196\) 590814. + 1.50537e6i 0.0784662 + 0.199929i
\(197\) −195020. 2.60236e6i −0.0255082 0.340383i −0.995327 0.0965580i \(-0.969217\pi\)
0.969819 0.243825i \(-0.0784024\pi\)
\(198\) 1.34986e6 + 1.45480e6i 0.173897 + 0.187417i
\(199\) −1.28973e7 + 2.94373e6i −1.63659 + 0.373542i −0.939261 0.343205i \(-0.888488\pi\)
−0.697334 + 0.716747i \(0.745630\pi\)
\(200\) 62465.3 414430.i 0.00780816 0.0518038i
\(201\) 5.81561e6 8.52993e6i 0.716155 1.05041i
\(202\) 354958. + 1.15074e6i 0.0430648 + 0.139613i
\(203\) 329052. 4.39089e6i 0.0393347 0.524886i
\(204\) 7.14789e6 5.70025e6i 0.841952 0.671434i
\(205\) 4.73671e6 1.53560e7i 0.549814 1.78245i
\(206\) −2.59179e6 1.01720e6i −0.296482 0.116360i
\(207\) 1.80665e6 7.91546e6i 0.203687 0.892412i
\(208\) 322424. + 558455.i 0.0358292 + 0.0620581i
\(209\) −6.18477e6 3.57078e6i −0.677462 0.391133i
\(210\) 2.51679e6 + 2.33524e6i 0.271762 + 0.252159i
\(211\) 9.02871e6 + 7.20016e6i 0.961122 + 0.766469i 0.972365 0.233468i \(-0.0750074\pi\)
−0.0112429 + 0.999937i \(0.503579\pi\)
\(212\) 4.28497e6 2.92144e6i 0.449717 0.306612i
\(213\) −1.41479e7 + 6.81328e6i −1.46404 + 0.705046i
\(214\) 2.21740e6i 0.226257i
\(215\) 1.79164e6 1.02583e7i 0.180275 1.03219i
\(216\) 838454. 0.0831989
\(217\) 2.63508e6 + 5.47180e6i 0.257878 + 0.535489i
\(218\) 1.19807e6 + 1.75725e6i 0.115641 + 0.169615i
\(219\) −1.27665e7 + 1.60086e7i −1.21545 + 1.52413i
\(220\) −5.80999e6 + 6.26168e6i −0.545642 + 0.588062i
\(221\) 401955. 696207.i 0.0372393 0.0645003i
\(222\) −1.92403e6 + 1.11084e6i −0.175854 + 0.101530i
\(223\) 8.44343e6 + 1.92716e6i 0.761385 + 0.173781i 0.585548 0.810638i \(-0.300880\pi\)
0.175838 + 0.984419i \(0.443737\pi\)
\(224\) −2.69852e6 + 6.87572e6i −0.240094 + 0.611750i
\(225\) 1.18005e6 + 363997.i 0.103598 + 0.0319559i
\(226\) 3.34762e6 + 4.19779e6i 0.290009 + 0.363659i
\(227\) −4.67454e6 350308.i −0.399633 0.0299483i −0.126602 0.991954i \(-0.540407\pi\)
−0.273031 + 0.962005i \(0.588026\pi\)
\(228\) −1.42975e7 + 4.41020e6i −1.20630 + 0.372095i
\(229\) −174505. 118975.i −0.0145312 0.00990719i 0.556033 0.831160i \(-0.312323\pi\)
−0.570564 + 0.821253i \(0.693275\pi\)
\(230\) −2.90037e6 437161.i −0.238380 0.0359300i
\(231\) −2.89409e6 1.26798e7i −0.234788 1.02867i
\(232\) −2.94290e6 + 2.73061e6i −0.235674 + 0.218673i
\(233\) −5.33010e6 + 399436.i −0.421374 + 0.0315776i −0.283730 0.958904i \(-0.591572\pi\)
−0.137644 + 0.990482i \(0.543953\pi\)
\(234\) 340335. 133572.i 0.0265619 0.0104248i
\(235\) −3.96067e6 2.62773e7i −0.305186 2.02478i
\(236\) −9.18608e6 4.42378e6i −0.698866 0.336556i
\(237\) −1.06658e7 + 2.21478e7i −0.801216 + 1.66374i
\(238\) 2.61280e6 393816.i 0.193810 0.0292121i
\(239\) −1.13435e6 2.89026e6i −0.0830905 0.211711i 0.883290 0.468827i \(-0.155323\pi\)
−0.966381 + 0.257116i \(0.917228\pi\)
\(240\) 1.21571e6 + 1.62225e7i 0.0879418 + 1.17350i
\(241\) −1.51561e7 1.63343e7i −1.08277 1.16695i −0.985145 0.171722i \(-0.945067\pi\)
−0.0976216 0.995224i \(-0.531123\pi\)
\(242\) 1.19704e6 273217.i 0.0844625 0.0192780i
\(243\) 3.06875e6 2.03598e7i 0.213866 1.41891i
\(244\) −5.48696e6 + 8.04790e6i −0.377714 + 0.554004i
\(245\) 1.05739e6 + 3.42796e6i 0.0719010 + 0.233097i
\(246\) 799988. 1.06751e7i 0.0537376 0.717078i
\(247\) −1.02862e6 + 820293.i −0.0682593 + 0.0544350i
\(248\) 1.63213e6 5.29122e6i 0.107004 0.346897i
\(249\) 1.86084e7 + 7.30327e6i 1.20535 + 0.473063i
\(250\) −914511. + 4.00673e6i −0.0585287 + 0.256431i
\(251\) 9.94756e6 + 1.72297e7i 0.629065 + 1.08957i 0.987740 + 0.156110i \(0.0498955\pi\)
−0.358675 + 0.933463i \(0.616771\pi\)
\(252\) −1.23989e7 7.15850e6i −0.774784 0.447322i
\(253\) 8.14507e6 + 7.55752e6i 0.502960 + 0.466678i
\(254\) −3.80720e6 3.03614e6i −0.232330 0.185277i
\(255\) 1.67567e7 1.14245e7i 1.01058 0.688999i
\(256\) −4.72183e6 + 2.27391e6i −0.281443 + 0.135536i
\(257\) 2.99374e6i 0.176366i 0.996104 + 0.0881831i \(0.0281061\pi\)
−0.996104 + 0.0881831i \(0.971894\pi\)
\(258\) −357038. 6.92784e6i −0.0207900 0.403403i
\(259\) 7.64999e6 0.440313
\(260\) 682773. + 1.41779e6i 0.0388469 + 0.0806664i
\(261\) −6.66352e6 9.77359e6i −0.374785 0.549708i
\(262\) −172434. + 216226.i −0.00958783 + 0.0120228i
\(263\) −4.05235e6 + 4.36739e6i −0.222761 + 0.240079i −0.834537 0.550952i \(-0.814265\pi\)
0.611776 + 0.791031i \(0.290455\pi\)
\(264\) −5.92902e6 + 1.02694e7i −0.322234 + 0.558125i
\(265\) 9.96303e6 5.75216e6i 0.535370 0.309096i
\(266\) −4.21589e6 962248.i −0.223998 0.0511261i
\(267\) −8655.46 + 22053.7i −0.000454733 + 0.00115864i
\(268\) 1.48618e7 + 4.58425e6i 0.772088 + 0.238158i
\(269\) 1.10748e7 + 1.38874e7i 0.568957 + 0.713450i 0.980185 0.198083i \(-0.0634714\pi\)
−0.411228 + 0.911533i \(0.634900\pi\)
\(270\) 890017. + 66697.5i 0.0452175 + 0.00338859i
\(271\) 3.13858e7 9.68123e6i 1.57698 0.486433i 0.621976 0.783037i \(-0.286330\pi\)
0.955001 + 0.296604i \(0.0958541\pi\)
\(272\) 1.03445e7 + 7.05279e6i 0.514049 + 0.350473i
\(273\) −2.36924e6 357106.i −0.116445 0.0175513i
\(274\) 690244. + 3.02416e6i 0.0335545 + 0.147012i
\(275\) −1.23888e6 + 1.14951e6i −0.0595703 + 0.0552731i
\(276\) 2.32139e7 1.73964e6i 1.10413 0.0827431i
\(277\) 3.27412e7 1.28500e7i 1.54048 0.604592i 0.565076 0.825039i \(-0.308847\pi\)
0.975399 + 0.220447i \(0.0707515\pi\)
\(278\) 113469. + 752817.i 0.00528132 + 0.0350393i
\(279\) 1.46997e7 + 7.07902e6i 0.676857 + 0.325957i
\(280\) −4.67667e6 + 9.71121e6i −0.213041 + 0.442384i
\(281\) 3.03718e7 4.57781e6i 1.36883 0.206319i 0.576845 0.816854i \(-0.304284\pi\)
0.791989 + 0.610535i \(0.209046\pi\)
\(282\) −6.46740e6 1.64787e7i −0.288392 0.734810i
\(283\) 2.29808e6 + 3.06657e7i 0.101392 + 1.35299i 0.783343 + 0.621589i \(0.213513\pi\)
−0.681951 + 0.731398i \(0.738868\pi\)
\(284\) −1.60905e7 1.73414e7i −0.702448 0.757059i
\(285\) −3.23585e7 + 7.38561e6i −1.39783 + 0.319045i
\(286\) −74573.0 + 494759.i −0.00318774 + 0.0211493i
\(287\) −2.07645e7 + 3.04560e7i −0.878369 + 1.28833i
\(288\) 5.84882e6 + 1.89614e7i 0.244845 + 0.793767i
\(289\) −637392. + 8.50541e6i −0.0264066 + 0.352372i
\(290\) −3.34110e6 + 2.66444e6i −0.136992 + 0.109247i
\(291\) 1.63218e7 5.29141e7i 0.662354 2.14730i
\(292\) −2.87143e7 1.12695e7i −1.15332 0.452645i
\(293\) −5.49756e6 + 2.40864e7i −0.218558 + 0.957567i 0.739986 + 0.672623i \(0.234832\pi\)
−0.958544 + 0.284944i \(0.908025\pi\)
\(294\) 1.19485e6 + 2.06954e6i 0.0470188 + 0.0814390i
\(295\) −1.95871e7 1.13086e7i −0.762964 0.440497i
\(296\) −5.11290e6 4.74408e6i −0.197148 0.182927i
\(297\) −2.64336e6 2.10801e6i −0.100899 0.0804642i
\(298\) 3.47888e6 2.37186e6i 0.131459 0.0896273i
\(299\) 1.84424e6 888137.i 0.0689927 0.0332251i
\(300\) 3.54076e6i 0.131139i
\(301\) −1.08627e7 + 2.12736e7i −0.398327 + 0.780085i
\(302\) 1.31551e7 0.477612
\(303\) −9.19898e6 1.91019e7i −0.330683 0.686670i
\(304\) −1.15423e7 1.69295e7i −0.410839 0.602590i
\(305\) −1.34718e7 + 1.68931e7i −0.474817 + 0.595401i
\(306\) 4.82818e6 5.20354e6i 0.168507 0.181608i
\(307\) −1.35005e7 + 2.33836e7i −0.466590 + 0.808158i −0.999272 0.0381580i \(-0.987851\pi\)
0.532682 + 0.846316i \(0.321184\pi\)
\(308\) 1.69683e7 9.79666e6i 0.580746 0.335294i
\(309\) 4.77895e7 + 1.09076e7i 1.61978 + 0.369705i
\(310\) 2.15341e6 5.48679e6i 0.0722837 0.184176i
\(311\) 3.34240e7 + 1.03099e7i 1.11116 + 0.342748i 0.795396 0.606090i \(-0.207263\pi\)
0.315764 + 0.948838i \(0.397739\pi\)
\(312\) 1.36204e6 + 1.70794e6i 0.0448461 + 0.0562353i
\(313\) −3.26368e7 2.44579e6i −1.06433 0.0797602i −0.468964 0.883218i \(-0.655372\pi\)
−0.595362 + 0.803457i \(0.702991\pi\)
\(314\) −1.38520e7 + 4.27279e6i −0.447430 + 0.138014i
\(315\) −2.62408e7 1.78907e7i −0.839547 0.572394i
\(316\) −3.66194e7 5.51948e6i −1.16051 0.174919i
\(317\) −1.09285e7 4.78809e7i −0.343070 1.50309i −0.792555 0.609800i \(-0.791250\pi\)
0.449485 0.893288i \(-0.351607\pi\)
\(318\) 5.61782e6 5.21258e6i 0.174697 0.162096i
\(319\) 1.61432e7 1.20976e6i 0.497298 0.0372673i
\(320\) −1.80552e7 + 7.08616e6i −0.551002 + 0.216253i
\(321\) 5.81840e6 + 3.86026e7i 0.175909 + 1.16708i
\(322\) 6.06168e6 + 2.91915e6i 0.181562 + 0.0874357i
\(323\) −1.10831e7 + 2.30143e7i −0.328892 + 0.682952i
\(324\) 2.73478e7 4.12201e6i 0.804057 0.121192i
\(325\) 113747. + 289821.i 0.00331351 + 0.00844268i
\(326\) −71521.2 954384.i −0.00206434 0.0275467i
\(327\) −2.54682e7 2.74482e7i −0.728374 0.785001i
\(328\) 3.27651e7 7.47842e6i 0.928518 0.211928i
\(329\) −9.08490e6 + 6.02744e7i −0.255113 + 1.69256i
\(330\) −7.11055e6 + 1.04293e7i −0.197861 + 0.290209i
\(331\) −1.35089e7 4.37948e7i −0.372508 1.20764i −0.926875 0.375370i \(-0.877516\pi\)
0.554367 0.832273i \(-0.312961\pi\)
\(332\) −2.25051e6 + 3.00310e7i −0.0614989 + 0.820646i
\(333\) 1.60677e7 1.28136e7i 0.435132 0.347006i
\(334\) −4.60222e6 + 1.49200e7i −0.123517 + 0.400434i
\(335\) 3.21157e7 + 1.26045e7i 0.854246 + 0.335267i
\(336\) 8.30340e6 3.63796e7i 0.218896 0.959047i
\(337\) 351023. + 607989.i 0.00917161 + 0.0158857i 0.870575 0.492036i \(-0.163747\pi\)
−0.861403 + 0.507922i \(0.830414\pi\)
\(338\) −9.22588e6 5.32657e6i −0.238923 0.137942i
\(339\) −6.92935e7 6.42950e7i −1.77866 1.65036i
\(340\) 2.38871e7 + 1.90494e7i 0.607754 + 0.484667i
\(341\) −1.84485e7 + 1.25780e7i −0.465263 + 0.317211i
\(342\) −1.04666e7 + 5.04045e6i −0.261654 + 0.126006i
\(343\) 4.35742e7i 1.07981i
\(344\) 2.04528e7 7.48187e6i 0.502433 0.183796i
\(345\) 5.16396e7 1.25755
\(346\) 5.53170e6 + 1.14867e7i 0.133546 + 0.277311i
\(347\) −2.90719e7 4.26406e7i −0.695800 1.02055i −0.997738 0.0672240i \(-0.978586\pi\)
0.301938 0.953328i \(-0.402367\pi\)
\(348\) 2.11464e7 2.65168e7i 0.501764 0.629192i
\(349\) 4.49899e6 4.84876e6i 0.105837 0.114066i −0.677911 0.735144i \(-0.737115\pi\)
0.783749 + 0.621078i \(0.213305\pi\)
\(350\) −511666. + 886231.i −0.0119339 + 0.0206701i
\(351\) −539411. + 311429.i −0.0124738 + 0.00720175i
\(352\) −2.64750e7 6.04274e6i −0.607026 0.138550i
\(353\) −7.90543e6 + 2.01427e7i −0.179722 + 0.457924i −0.992137 0.125155i \(-0.960057\pi\)
0.812415 + 0.583079i \(0.198152\pi\)
\(354\) −1.43971e7 4.44092e6i −0.324538 0.100107i
\(355\) −3.27189e7 4.10282e7i −0.731330 0.917059i
\(356\) −35591.2 2667.19i −0.000788847 5.91159e-5i
\(357\) −4.44528e7 + 1.37119e7i −0.977000 + 0.301365i
\(358\) −2.17511e6 1.48297e6i −0.0474060 0.0323208i
\(359\) 4.24620e7 + 6.40011e6i 0.917734 + 0.138326i 0.590890 0.806752i \(-0.298777\pi\)
0.326844 + 0.945078i \(0.394015\pi\)
\(360\) 6.44338e6 + 2.82303e7i 0.138104 + 0.605073i
\(361\) −3.84244e6 + 3.56526e6i −0.0816742 + 0.0757826i
\(362\) −1.93347e7 + 1.44894e6i −0.407579 + 0.0305438i
\(363\) −2.01224e7 + 7.89745e6i −0.420687 + 0.165108i
\(364\) −537977. 3.56925e6i −0.0111548 0.0740069i
\(365\) −6.16506e7 2.96893e7i −1.26782 0.610551i
\(366\) −6.24513e6 + 1.29681e7i −0.127379 + 0.264506i
\(367\) 1.98426e7 2.99080e6i 0.401422 0.0605046i 0.0547713 0.998499i \(-0.482557\pi\)
0.346651 + 0.937994i \(0.387319\pi\)
\(368\) 1.16467e7 + 2.96753e7i 0.233700 + 0.595459i
\(369\) 7.40018e6 + 9.87485e7i 0.147287 + 1.96540i
\(370\) −5.04995e6 5.44255e6i −0.0996970 0.107448i
\(371\) −2.57268e7 + 5.87196e6i −0.503806 + 0.114990i
\(372\) −6.97218e6 + 4.62574e7i −0.135438 + 0.898571i
\(373\) 1.55830e7 2.28560e7i 0.300279 0.440428i −0.646213 0.763157i \(-0.723648\pi\)
0.946491 + 0.322730i \(0.104600\pi\)
\(374\) 2.86340e6 + 9.28290e6i 0.0547352 + 0.177447i
\(375\) 5.40710e6 7.21528e7i 0.102535 1.36823i
\(376\) 4.34506e7 3.46507e7i 0.817396 0.651851i
\(377\) 879048. 2.84980e6i 0.0164055 0.0531852i
\(378\) −1.90571e6 747936.i −0.0352843 0.0138481i
\(379\) −1.46564e7 + 6.42139e7i −0.269222 + 1.17954i 0.641700 + 0.766956i \(0.278230\pi\)
−0.910921 + 0.412581i \(0.864628\pi\)
\(380\) −2.50007e7 4.33026e7i −0.455619 0.789156i
\(381\) 7.42462e7 + 4.28661e7i 1.34245 + 0.775066i
\(382\) 1.82923e7 + 1.69728e7i 0.328155 + 0.304483i
\(383\) 1.25826e6 + 1.00343e6i 0.0223962 + 0.0178604i 0.634624 0.772821i \(-0.281155\pi\)
−0.612228 + 0.790681i \(0.709726\pi\)
\(384\) −6.16292e7 + 4.20181e7i −1.08841 + 0.742066i
\(385\) 3.91595e7 1.88582e7i 0.686206 0.330460i
\(386\) 1.32729e7i 0.230784i
\(387\) 1.28172e7 + 6.28770e7i 0.221137 + 1.08482i
\(388\) 8.34209e7 1.42817
\(389\) 1.60264e7 + 3.32792e7i 0.272262 + 0.565359i 0.991606 0.129296i \(-0.0412716\pi\)
−0.719344 + 0.694654i \(0.755557\pi\)
\(390\) 1.30993e6 + 1.92132e6i 0.0220829 + 0.0323897i
\(391\) 2.47790e7 3.10719e7i 0.414528 0.519802i
\(392\) −5.10287e6 + 5.49959e6i −0.0847142 + 0.0913002i
\(393\) 2.43453e6 4.21674e6i 0.0401087 0.0694702i
\(394\) 5.03121e6 2.90477e6i 0.0822591 0.0474923i
\(395\) −8.00904e7 1.82801e7i −1.29954 0.296611i
\(396\) 1.92303e7 4.89980e7i 0.309671 0.789028i
\(397\) 8.00818e6 + 2.47020e6i 0.127986 + 0.0394784i 0.358086 0.933688i \(-0.383429\pi\)
−0.230100 + 0.973167i \(0.573905\pi\)
\(398\) −1.83618e7 2.30250e7i −0.291250 0.365217i
\(399\) 7.59191e7 + 5.68935e6i 1.19518 + 0.0895662i
\(400\) −4.63341e6 + 1.42922e6i −0.0723971 + 0.0223315i
\(401\) −5.87761e7 4.00729e7i −0.911523 0.621466i 0.0141051 0.999901i \(-0.495510\pi\)
−0.925628 + 0.378435i \(0.876462\pi\)
\(402\) 2.27259e7 + 3.42538e6i 0.349818 + 0.0527266i
\(403\) 915321. + 4.01028e6i 0.0139849 + 0.0612717i
\(404\) 2.34136e7 2.17246e7i 0.355078 0.329464i
\(405\) 6.11791e7 4.58474e6i 0.920954 0.0690160i
\(406\) 9.12470e6 3.58118e6i 0.136345 0.0535116i
\(407\) 4.19185e6 + 2.78111e7i 0.0621760 + 0.412511i
\(408\) 3.82135e7 + 1.84027e7i 0.562648 + 0.270957i
\(409\) 2.03261e7 4.22076e7i 0.297087 0.616908i −0.697979 0.716118i \(-0.745917\pi\)
0.995067 + 0.0992098i \(0.0316315\pi\)
\(410\) 3.53750e7 5.33192e6i 0.513269 0.0773628i
\(411\) −1.99518e7 5.08362e7i −0.287379 0.732231i
\(412\) 5.51852e6 + 7.36395e7i 0.0789098 + 1.05298i
\(413\) 3.52866e7 + 3.80300e7i 0.500910 + 0.539853i
\(414\) 1.76212e7 4.02192e6i 0.248333 0.0566803i
\(415\) −9.95669e6 + 6.60583e7i −0.139306 + 0.924236i
\(416\) −2.81816e6 + 4.13347e6i −0.0391458 + 0.0574163i
\(417\) −3.95075e6 1.28080e7i −0.0544843 0.176634i
\(418\) 1.18808e6 1.58539e7i 0.0162674 0.217074i
\(419\) −4.11531e7 + 3.28185e7i −0.559448 + 0.446145i −0.861943 0.507006i \(-0.830752\pi\)
0.302494 + 0.953151i \(0.402181\pi\)
\(420\) 2.68406e7 8.70150e7i 0.362280 1.17448i
\(421\) −3.32895e7 1.30651e7i −0.446129 0.175093i 0.131632 0.991299i \(-0.457978\pi\)
−0.577761 + 0.816206i \(0.696073\pi\)
\(422\) −5.72061e6 + 2.50636e7i −0.0761211 + 0.333508i
\(423\) 8.18767e7 + 1.41815e8i 1.08178 + 1.87370i
\(424\) 2.08360e7 + 1.20297e7i 0.273349 + 0.157818i
\(425\) 4.43121e6 + 4.11156e6i 0.0577239 + 0.0535599i
\(426\) −2.73309e7 2.17957e7i −0.353530 0.281930i
\(427\) 4.09499e7 2.79192e7i 0.525980 0.358607i
\(428\) −5.29872e7 + 2.55173e7i −0.675834 + 0.325464i
\(429\) 8.80892e6i 0.111571i
\(430\) 2.23058e7 6.31500e6i 0.280551 0.0794270i
\(431\) −6.99993e7 −0.874303 −0.437152 0.899388i \(-0.644013\pi\)
−0.437152 + 0.899388i \(0.644013\pi\)
\(432\) −4.20882e6 8.73970e6i −0.0522046 0.108404i
\(433\) −5.54934e6 8.13938e6i −0.0683561 0.100260i 0.790539 0.612412i \(-0.209801\pi\)
−0.858895 + 0.512152i \(0.828848\pi\)
\(434\) −8.42962e6 + 1.05704e7i −0.103119 + 0.129307i
\(435\) 5.11736e7 5.51521e7i 0.621697 0.670030i
\(436\) 2.82043e7 4.88514e7i 0.340296 0.589410i
\(437\) −5.63271e7 + 3.25205e7i −0.674952 + 0.389684i
\(438\) −4.44398e7 1.01431e7i −0.528871 0.120711i
\(439\) 1.08702e7 2.76967e7i 0.128482 0.327367i −0.852129 0.523332i \(-0.824689\pi\)
0.980611 + 0.195965i \(0.0627840\pi\)
\(440\) −3.78672e7 1.16805e7i −0.444534 0.137121i
\(441\) −1.37826e7 1.72829e7i −0.160700 0.201512i
\(442\) 1.78464e6 + 133740.i 0.0206673 + 0.00154880i
\(443\) −7.59371e7 + 2.34235e7i −0.873459 + 0.269426i −0.698899 0.715220i \(-0.746326\pi\)
−0.174560 + 0.984647i \(0.555850\pi\)
\(444\) 4.86861e7 + 3.31936e7i 0.556233 + 0.379233i
\(445\) −78288.9 11800.1i −0.000888424 0.000133908i
\(446\) 4.29019e6 + 1.87965e7i 0.0483583 + 0.211872i
\(447\) −5.43400e7 + 5.04202e7i −0.608411 + 0.564523i
\(448\) 4.43658e7 3.32476e6i 0.493417 0.0369765i
\(449\) 4.14039e7 1.62498e7i 0.457406 0.179519i −0.125440 0.992101i \(-0.540034\pi\)
0.582846 + 0.812582i \(0.301939\pi\)
\(450\) 409737. + 2.71843e6i 0.00449643 + 0.0298318i
\(451\) −1.22099e8 5.87998e7i −1.33101 0.640983i
\(452\) 6.17872e7 1.28302e8i 0.669088 1.38938i
\(453\) −2.29017e8 + 3.45188e7i −2.46362 + 0.371331i
\(454\) −3.81252e6 9.71414e6i −0.0407422 0.103809i
\(455\) −598369. 7.98469e6i −0.00635236 0.0847664i
\(456\) −4.72127e7 5.08831e7i −0.497925 0.536636i
\(457\) −4.38386e7 + 1.00059e7i −0.459313 + 0.104835i −0.445915 0.895075i \(-0.647122\pi\)
−0.0133973 + 0.999910i \(0.504265\pi\)
\(458\) 70076.1 464924.i 0.000729413 0.00483934i
\(459\) −6.81228e6 + 9.99178e6i −0.0704457 + 0.103325i
\(460\) 2.29304e7 + 7.43385e7i 0.235580 + 0.763730i
\(461\) 39614.1 528614.i 0.000404340 0.00539555i −0.996998 0.0774276i \(-0.975329\pi\)
0.997402 + 0.0720320i \(0.0229484\pi\)
\(462\) 2.26367e7 1.80521e7i 0.229555 0.183064i
\(463\) −3.48082e7 + 1.12845e8i −0.350702 + 1.13695i 0.592735 + 0.805398i \(0.298048\pi\)
−0.943437 + 0.331552i \(0.892428\pi\)
\(464\) 4.32354e7 + 1.69686e7i 0.432798 + 0.169861i
\(465\) −2.30913e7 + 1.01170e8i −0.229663 + 1.00622i
\(466\) −5.94949e6 1.03048e7i −0.0587925 0.101832i
\(467\) 5.90941e7 + 3.41180e7i 0.580221 + 0.334991i 0.761221 0.648492i \(-0.224600\pi\)
−0.181000 + 0.983483i \(0.557933\pi\)
\(468\) −7.10835e6 6.59558e6i −0.0693476 0.0643451i
\(469\) −6.18716e7 4.93409e7i −0.599753 0.478287i
\(470\) 4.88791e7 3.33252e7i 0.470793 0.320981i
\(471\) 2.29938e8 1.10732e8i 2.20064 1.05977i
\(472\) 4.73002e7i 0.449818i
\(473\) −8.32914e7 2.78339e7i −0.787076 0.263021i
\(474\) −5.47243e7 −0.513860
\(475\) −4.29233e6 8.91311e6i −0.0400509 0.0831665i
\(476\) −3.94782e7 5.79040e7i −0.366047 0.536893i
\(477\) −4.41999e7 + 5.54249e7i −0.407255 + 0.510681i
\(478\) 4.70137e6 5.06687e6i 0.0430468 0.0463934i
\(479\) 2.00501e7 3.47279e7i 0.182436 0.315989i −0.760273 0.649603i \(-0.774935\pi\)
0.942710 + 0.333615i \(0.108268\pi\)
\(480\) −1.09299e8 + 6.31038e7i −0.988309 + 0.570600i
\(481\) 5.05144e6 + 1.15296e6i 0.0453921 + 0.0103605i
\(482\) 1.81227e7 4.61760e7i 0.161839 0.412359i
\(483\) −1.13187e8 3.49137e7i −1.00452 0.309852i
\(484\) −2.03042e7 2.54606e7i −0.179081 0.224560i
\(485\) 1.84535e8 + 1.38290e7i 1.61753 + 0.121217i
\(486\) 4.38000e7 1.35105e7i 0.381562 0.117696i
\(487\) 8.74121e7 + 5.95966e7i 0.756806 + 0.515982i 0.879173 0.476503i \(-0.158096\pi\)
−0.122367 + 0.992485i \(0.539048\pi\)
\(488\) −4.46829e7 6.73487e6i −0.384487 0.0579521i
\(489\) 3.74939e6 + 1.64272e7i 0.0320652 + 0.140487i
\(490\) −5.85417e6 + 5.43187e6i −0.0497596 + 0.0461702i
\(491\) 1.51548e8 1.13569e7i 1.28028 0.0959436i 0.582839 0.812587i \(-0.301942\pi\)
0.697439 + 0.716644i \(0.254323\pi\)
\(492\) −2.64300e8 + 1.03730e8i −2.21923 + 0.870982i
\(493\) −8.62996e6 5.72560e7i −0.0720224 0.477838i
\(494\) −2.63881e6 1.27078e6i −0.0218891 0.0105412i
\(495\) 5.06617e7 1.05200e8i 0.417700 0.867363i
\(496\) −6.33464e7 + 9.54793e6i −0.519131 + 0.0782464i
\(497\) 4.39763e7 + 1.12050e8i 0.358220 + 0.912730i
\(498\) 3.32562e6 + 4.43774e7i 0.0269268 + 0.359313i
\(499\) −6.82773e7 7.35854e7i −0.549509 0.592230i 0.395828 0.918325i \(-0.370458\pi\)
−0.945337 + 0.326095i \(0.894267\pi\)
\(500\) 1.06270e8 2.42553e7i 0.850156 0.194043i
\(501\) 4.09701e7 2.71819e8i 0.325802 2.16155i
\(502\) −2.49494e7 + 3.65941e7i −0.197219 + 0.289268i
\(503\) −3.31698e7 1.07534e8i −0.260638 0.844969i −0.987423 0.158103i \(-0.949462\pi\)
0.726784 0.686866i \(-0.241014\pi\)
\(504\) 4.96352e6 6.62336e7i 0.0387702 0.517353i
\(505\) 5.53944e7 4.41756e7i 0.430122 0.343011i
\(506\) −7.29088e6 + 2.36365e7i −0.0562767 + 0.182445i
\(507\) 1.74590e8 + 6.85215e7i 1.33966 + 0.525778i
\(508\) −2.87397e7 + 1.25917e8i −0.219225 + 0.960489i
\(509\) 3.85393e7 + 6.67521e7i 0.292248 + 0.506188i 0.974341 0.225078i \(-0.0722635\pi\)
−0.682093 + 0.731265i \(0.738930\pi\)
\(510\) 3.90997e7 + 2.25742e7i 0.294756 + 0.170177i
\(511\) 1.15057e8 + 1.06757e8i 0.862285 + 0.800084i
\(512\) −1.04350e8 8.32160e7i −0.777465 0.620007i
\(513\) 1.63521e7 1.11487e7i 0.121122 0.0825795i
\(514\) −6.00459e6 + 2.89166e6i −0.0442175 + 0.0212940i
\(515\) 1.63812e8i 1.19929i
\(516\) −1.61440e8 + 8.82559e7i −1.17507 + 0.642384i
\(517\) −2.24102e8 −1.62172
\(518\) 7.38912e6 + 1.53437e7i 0.0531623 + 0.110393i
\(519\) −1.26442e8 1.85456e8i −0.904459 1.32660i
\(520\) −4.55172e6 + 5.70767e6i −0.0323717 + 0.0405928i
\(521\) 3.68847e7 3.97523e7i 0.260815 0.281092i −0.589045 0.808100i \(-0.700496\pi\)
0.849860 + 0.527008i \(0.176686\pi\)
\(522\) 1.31667e7 2.28054e7i 0.0925690 0.160334i
\(523\) −1.77172e8 + 1.02291e8i −1.23849 + 0.715040i −0.968785 0.247904i \(-0.920258\pi\)
−0.269701 + 0.962944i \(0.586925\pi\)
\(524\) 7.15131e6 + 1.63224e6i 0.0497040 + 0.0113446i
\(525\) 6.58212e6 1.67710e7i 0.0454870 0.115899i
\(526\) −1.26739e7 3.90938e6i −0.0870869 0.0268627i
\(527\) 4.97943e7 + 6.24401e7i 0.340211 + 0.426611i
\(528\) 1.36806e8 + 1.02522e7i 0.929400 + 0.0696489i
\(529\) −4.47611e7 + 1.38070e7i −0.302367 + 0.0932678i
\(530\) 2.11605e7 + 1.44270e7i 0.142134 + 0.0969052i
\(531\) 1.37814e8 + 2.07721e7i 0.920469 + 0.138738i
\(532\) 2.55215e7 + 1.11817e8i 0.169500 + 0.742629i
\(533\) −1.83014e7 + 1.69812e7i −0.120866 + 0.112147i
\(534\) −52593.8 + 3941.36i −0.000345391 + 2.58834e-5i
\(535\) −1.21443e8 + 4.76628e7i −0.793067 + 0.311256i
\(536\) 1.07537e7 + 7.13464e7i 0.0698337 + 0.463316i
\(537\) 4.17578e7 + 2.01095e7i 0.269659 + 0.129861i
\(538\) −1.71569e7 + 3.56267e7i −0.110177 + 0.228786i
\(539\) 2.99144e7 4.50888e6i 0.191036 0.0287940i
\(540\) −8.64830e6 2.20355e7i −0.0549224 0.139940i
\(541\) −1.55928e7 2.08072e8i −0.0984765 1.31408i −0.799382 0.600823i \(-0.794840\pi\)
0.700905 0.713254i \(-0.252779\pi\)
\(542\) 4.97333e7 + 5.35997e7i 0.312356 + 0.336639i
\(543\) 3.32795e8 7.59583e7i 2.07863 0.474434i
\(544\) −1.44766e7 + 9.60461e7i −0.0899229 + 0.596600i
\(545\) 7.04888e7 1.03388e8i 0.435443 0.638677i
\(546\) −1.57220e6 5.09694e6i −0.00965894 0.0313135i
\(547\) −2.10369e7 + 2.80717e8i −0.128534 + 1.71517i 0.444616 + 0.895721i \(0.353340\pi\)
−0.573151 + 0.819450i \(0.694279\pi\)
\(548\) 6.43225e7 5.12955e7i 0.390860 0.311701i
\(549\) 3.92454e7 1.27230e8i 0.237176 0.768907i
\(550\) −3.50221e6 1.37452e6i −0.0210501 0.00826156i
\(551\) −2.10864e7 + 9.23854e7i −0.126051 + 0.552267i
\(552\) 5.39978e7 + 9.35269e7i 0.321040 + 0.556057i
\(553\) 1.63189e8 + 9.42171e7i 0.964972 + 0.557127i
\(554\) 5.73980e7 + 5.32575e7i 0.337573 + 0.313222i
\(555\) 1.02196e8 + 8.14983e7i 0.597796 + 0.476727i
\(556\) 1.66837e7 1.13747e7i 0.0970659 0.0661784i
\(557\) 7.04882e7 3.39453e7i 0.407897 0.196433i −0.218673 0.975798i \(-0.570173\pi\)
0.626570 + 0.779365i \(0.284458\pi\)
\(558\) 3.63210e7i 0.209053i
\(559\) −1.03791e7 + 1.24102e7i −0.0594190 + 0.0710469i
\(560\) 1.24701e8 0.710080
\(561\) −7.42069e7 1.54092e8i −0.420296 0.872755i
\(562\) 3.85178e7 + 5.64953e7i 0.216997 + 0.318275i
\(563\) 1.16015e8 1.45478e8i 0.650114 0.815217i −0.342113 0.939659i \(-0.611143\pi\)
0.992227 + 0.124442i \(0.0397139\pi\)
\(564\) −3.19351e8 + 3.44179e8i −1.78005 + 1.91843i
\(565\) 1.57948e8 2.73574e8i 0.875728 1.51681i
\(566\) −5.92868e7 + 3.42293e7i −0.326971 + 0.188777i
\(567\) −1.37197e8 3.13142e7i −0.752652 0.171788i
\(568\) 4.00951e7 1.02161e8i 0.218799 0.557492i
\(569\) −1.83121e8 5.64853e7i −0.994034 0.306619i −0.245269 0.969455i \(-0.578876\pi\)
−0.748764 + 0.662836i \(0.769353\pi\)
\(570\) −4.60685e7 5.77680e7i −0.248759 0.311934i
\(571\) 1.70093e8 + 1.27467e7i 0.913646 + 0.0684683i 0.523250 0.852179i \(-0.324719\pi\)
0.390395 + 0.920647i \(0.372338\pi\)
\(572\) 1.26810e7 3.91157e6i 0.0677588 0.0209008i
\(573\) −3.62986e8 2.47480e8i −1.92942 1.31546i
\(574\) −8.11424e7 1.22303e7i −0.429054 0.0646695i
\(575\) 3.42497e6 + 1.50058e7i 0.0180158 + 0.0789324i
\(576\) 8.76150e7 8.12948e7i 0.458470 0.425398i
\(577\) 2.88058e8 2.15870e7i 1.49952 0.112374i 0.700490 0.713662i \(-0.252965\pi\)
0.799032 + 0.601289i \(0.205346\pi\)
\(578\) −1.76750e7 + 6.93695e6i −0.0915329 + 0.0359240i
\(579\) 3.48279e7 + 2.31068e8i 0.179429 + 1.19043i
\(580\) 1.02118e8 + 4.91776e7i 0.523384 + 0.252048i
\(581\) 6.64860e7 1.38060e8i 0.339002 0.703944i
\(582\) 1.21896e8 1.83728e7i 0.618329 0.0931981i
\(583\) −3.54443e7 9.03106e7i −0.178871 0.455757i
\(584\) −1.06942e7 1.42704e8i −0.0536918 0.716467i
\(585\) −1.46310e7 1.57684e7i −0.0730811 0.0787627i
\(586\) −5.36205e7 + 1.22385e7i −0.266463 + 0.0608186i
\(587\) −9.30902e6 + 6.17613e7i −0.0460246 + 0.305353i 0.953961 + 0.299931i \(0.0969638\pi\)
−0.999985 + 0.00542151i \(0.998274\pi\)
\(588\) 3.57040e7 5.23682e7i 0.175625 0.257594i
\(589\) −3.85251e7 1.24895e8i −0.188538 0.611224i
\(590\) 3.76265e6 5.02091e7i 0.0183205 0.244470i
\(591\) −7.99661e7 + 6.37708e7i −0.387386 + 0.308930i
\(592\) −2.37849e7 + 7.71089e7i −0.114640 + 0.371654i
\(593\) 3.21027e8 + 1.25994e8i 1.53949 + 0.604205i 0.975191 0.221365i \(-0.0710513\pi\)
0.564299 + 0.825571i \(0.309147\pi\)
\(594\) 1.67484e6 7.33793e6i 0.00799121 0.0350118i
\(595\) −7.77306e7 1.34633e8i −0.369012 0.639148i
\(596\) −9.67126e7 5.58370e7i −0.456819 0.263745i
\(597\) 3.80078e8 + 3.52660e8i 1.78628 + 1.65742i
\(598\) 3.56269e6 + 2.84115e6i 0.0166600 + 0.0132859i
\(599\) −804084. + 548215.i −0.00374129 + 0.00255077i −0.565189 0.824961i \(-0.691197\pi\)
0.561448 + 0.827512i \(0.310244\pi\)
\(600\) −1.47996e7 + 7.12709e6i −0.0685165 + 0.0329958i
\(601\) 2.27858e7i 0.104964i 0.998622 + 0.0524821i \(0.0167133\pi\)
−0.998622 + 0.0524821i \(0.983287\pi\)
\(602\) −5.31611e7 1.23934e6i −0.243671 0.00568069i
\(603\) −2.12597e8 −0.969629
\(604\) −1.51387e8 3.14357e8i −0.687031 1.42663i
\(605\) −4.06940e7 5.96871e7i −0.183766 0.269535i
\(606\) 2.94276e7 3.69010e7i 0.132232 0.165814i
\(607\) −2.66926e8 + 2.87678e8i −1.19351 + 1.28630i −0.245007 + 0.969521i \(0.578790\pi\)
−0.948501 + 0.316775i \(0.897400\pi\)
\(608\) 7.94803e7 1.37664e8i 0.353630 0.612505i
\(609\) −1.49455e8 + 8.62877e7i −0.661694 + 0.382029i
\(610\) −4.68951e7 1.07035e7i −0.206604 0.0471559i
\(611\) −1.50831e7 + 3.84312e7i −0.0661253 + 0.168485i
\(612\) −1.79906e8 5.54937e7i −0.784859 0.242097i
\(613\) −3.48825e7 4.37412e7i −0.151435 0.189893i 0.700327 0.713822i \(-0.253037\pi\)
−0.851762 + 0.523928i \(0.824466\pi\)
\(614\) −5.99409e7 4.49195e6i −0.258951 0.0194057i
\(615\) −6.01851e8 + 1.85647e8i −2.58740 + 0.798108i
\(616\) 7.51028e7 + 5.12042e7i 0.321303 + 0.219060i
\(617\) −4.01315e8 6.04885e7i −1.70856 0.257524i −0.779219 0.626752i \(-0.784384\pi\)
−0.929339 + 0.369228i \(0.879622\pi\)
\(618\) 2.42823e7 + 1.06388e8i 0.102878 + 0.450739i
\(619\) −1.62805e8 + 1.51061e8i −0.686429 + 0.636913i −0.944231 0.329285i \(-0.893192\pi\)
0.257802 + 0.966198i \(0.417002\pi\)
\(620\) −1.55894e8 + 1.16826e7i −0.654115 + 0.0490192i
\(621\) −2.86633e7 + 1.12495e7i −0.119688 + 0.0469742i
\(622\) 1.16055e7 + 7.69972e7i 0.0482271 + 0.319966i
\(623\) 163621. + 78795.8i 0.000676667 + 0.000325866i
\(624\) 1.09658e7 2.27707e7i 0.0451322 0.0937180i
\(625\) 2.62739e8 3.96015e7i 1.07618 0.162208i
\(626\) −2.66183e7 6.78224e7i −0.108507 0.276471i
\(627\) 2.09170e7 + 2.79117e8i 0.0848586 + 1.13236i
\(628\) 2.61510e8 + 2.81840e8i 1.05587 + 1.13795i
\(629\) 9.80762e7 2.23852e7i 0.394105 0.0899518i
\(630\) 1.05375e7 6.99120e7i 0.0421422 0.279595i
\(631\) −3.60540e7 + 5.28815e7i −0.143504 + 0.210482i −0.891261 0.453491i \(-0.850179\pi\)
0.747757 + 0.663973i \(0.231131\pi\)
\(632\) −5.06399e7 1.64171e8i −0.200605 0.650345i
\(633\) 3.38234e7 4.51342e8i 0.133354 1.77949i
\(634\) 8.54794e7 6.81675e7i 0.335424 0.267491i
\(635\) −8.44484e7 + 2.73775e8i −0.329815 + 1.06923i
\(636\) −1.89209e8 7.42591e7i −0.735480 0.288655i
\(637\) 1.24016e6 5.43348e6i 0.00479798 0.0210213i
\(638\) 1.80191e7 + 3.12100e7i 0.0693859 + 0.120180i
\(639\) 2.80047e8 + 1.61685e8i 1.07332 + 0.619680i
\(640\) −1.82727e8 1.69546e8i −0.697047 0.646765i
\(641\) 1.07705e8 + 8.58919e7i 0.408942 + 0.326121i 0.806261 0.591560i \(-0.201488\pi\)
−0.397319 + 0.917681i \(0.630059\pi\)
\(642\) −7.18056e7 + 4.89562e7i −0.271365 + 0.185013i
\(643\) 4.40250e8 2.12013e8i 1.65602 0.797498i 0.656973 0.753914i \(-0.271837\pi\)
0.999050 0.0435843i \(-0.0138777\pi\)
\(644\) 1.78444e8i 0.668104i
\(645\) −3.71751e8 + 1.68468e8i −1.38539 + 0.627823i
\(646\) −5.68652e7 −0.210935
\(647\) −1.47916e8 3.07150e8i −0.546137 1.13407i −0.973225 0.229855i \(-0.926175\pi\)
0.427088 0.904210i \(-0.359540\pi\)
\(648\) 7.22767e7 + 1.06010e8i 0.265627 + 0.389604i
\(649\) −1.18920e8 + 1.49121e8i −0.435033 + 0.545514i
\(650\) −471430. + 508081.i −0.00171663 + 0.00185009i
\(651\) 1.19015e8 2.06139e8i 0.431377 0.747167i
\(652\) −2.19831e7 + 1.26919e7i −0.0793132 + 0.0457915i
\(653\) −3.00259e8 6.85323e7i −1.07834 0.246125i −0.353777 0.935330i \(-0.615103\pi\)
−0.724567 + 0.689205i \(0.757960\pi\)
\(654\) 3.04534e7 7.75940e7i 0.108869 0.277393i
\(655\) 1.55488e7 + 4.79616e6i 0.0553315 + 0.0170675i
\(656\) −2.42424e8 3.03991e8i −0.858746 1.07683i
\(657\) 4.20477e8 + 3.15104e7i 1.48268 + 0.111111i
\(658\) −1.29668e8 + 3.99973e7i −0.455151 + 0.140396i
\(659\) −1.20470e8 8.21350e7i −0.420942 0.286993i 0.334266 0.942479i \(-0.391512\pi\)
−0.755208 + 0.655485i \(0.772464\pi\)
\(660\) 3.31046e8 + 4.98971e7i 1.15148 + 0.173558i
\(661\) 1.35732e7 + 5.94683e7i 0.0469980 + 0.205912i 0.992975 0.118321i \(-0.0377511\pi\)
−0.945977 + 0.324232i \(0.894894\pi\)
\(662\) 7.47915e7 6.93963e7i 0.257797 0.239201i
\(663\) −3.14197e7 + 2.35458e6i −0.107810 + 0.00807928i
\(664\) −1.30053e8 + 5.10420e7i −0.444238 + 0.174350i
\(665\) 3.79196e7 + 2.51580e8i 0.128943 + 0.855482i
\(666\) 4.12201e7 + 1.98505e7i 0.139536 + 0.0671970i
\(667\) 6.39692e7 1.32834e8i 0.215573 0.447641i
\(668\) 4.09493e8 6.17212e7i 1.37378 0.207064i
\(669\) −1.24009e8 3.15971e8i −0.414168 1.05528i
\(670\) 5.73959e6 + 7.65895e7i 0.0190834 + 0.254651i
\(671\) 1.23937e8 + 1.33573e8i 0.410237 + 0.442130i
\(672\) 2.82234e8 6.44181e7i 0.930041 0.212276i
\(673\) 7.30483e6 4.84644e7i 0.0239643 0.158993i −0.973648 0.228056i \(-0.926763\pi\)
0.997612 + 0.0690634i \(0.0220011\pi\)
\(674\) −880398. + 1.29131e6i −0.00287541 + 0.00421745i
\(675\) −1.38048e6 4.47541e6i −0.00448869 0.0145520i
\(676\) −2.11150e7 + 2.81760e8i −0.0683520 + 0.912093i
\(677\) 4.30049e8 3.42953e8i 1.38596 1.10527i 0.404306 0.914624i \(-0.367513\pi\)
0.981659 0.190646i \(-0.0610582\pi\)
\(678\) 6.20266e7 2.01085e8i 0.199017 0.645196i
\(679\) −3.95127e8 1.55076e8i −1.26220 0.495376i
\(680\) −3.15402e7 + 1.38187e8i −0.100309 + 0.439480i
\(681\) 9.18617e7 + 1.59109e8i 0.290866 + 0.503795i
\(682\) −4.30472e7 2.48533e7i −0.135704 0.0783486i
\(683\) 1.64743e8 + 1.52859e8i 0.517065 + 0.479767i 0.895000 0.446066i \(-0.147175\pi\)
−0.377935 + 0.925832i \(0.623366\pi\)
\(684\) 2.40895e8 + 1.92107e8i 0.752764 + 0.600309i
\(685\) 1.50791e8 1.02807e8i 0.469141 0.319855i
\(686\) 8.73973e7 4.20883e7i 0.270723 0.130373i
\(687\) 8.27773e6i 0.0255294i
\(688\) −1.80656e8 1.75635e8i −0.554737 0.539319i
\(689\) −1.78729e7 −0.0546433
\(690\) 4.98786e7 + 1.03574e8i 0.151833 + 0.315285i
\(691\) −3.53348e8 5.18266e8i −1.07095 1.57079i −0.792037 0.610473i \(-0.790979\pi\)
−0.278910 0.960317i \(-0.589973\pi\)
\(692\) 2.10830e8 2.64373e8i 0.636230 0.797807i
\(693\) −1.82170e8 + 1.96333e8i −0.547366 + 0.589920i
\(694\) 5.74443e7 9.94964e7i 0.171857 0.297666i
\(695\) 3.87914e7 2.23962e7i 0.115553 0.0667145i
\(696\) 1.53399e8 + 3.50124e7i 0.454983 + 0.103847i
\(697\) −1.77091e8 + 4.51220e8i −0.522995 + 1.33257i
\(698\) 1.40708e7 + 4.34026e6i 0.0413764 + 0.0127629i
\(699\) 1.30614e8 + 1.63785e8i 0.382436 + 0.479559i
\(700\) 2.70656e7 + 2.02829e6i 0.0789086 + 0.00591338i
\(701\) 3.24000e8 9.99408e7i 0.940570 0.290127i 0.213697 0.976900i \(-0.431449\pi\)
0.726872 + 0.686773i \(0.240973\pi\)
\(702\) −1.14565e6 781094.i −0.00331163 0.00225783i
\(703\) −1.62796e8 2.45376e7i −0.468575 0.0706263i
\(704\) 3.63974e7 + 1.59468e8i 0.104316 + 0.457040i
\(705\) −7.63490e8 + 7.08416e8i −2.17889 + 2.02172i
\(706\) −4.80363e7 + 3.59982e6i −0.136507 + 0.0102298i
\(707\) −1.51285e8 + 5.93749e7i −0.428092 + 0.168014i
\(708\) 5.95579e7 + 3.95141e8i 0.167818 + 1.11340i
\(709\) 4.02369e8 + 1.93771e8i 1.12898 + 0.543688i 0.902655 0.430364i \(-0.141615\pi\)
0.226324 + 0.974052i \(0.427329\pi\)
\(710\) 5.06875e7 1.05254e8i 0.141621 0.294078i
\(711\) 5.00566e8 7.54481e7i 1.39268 0.209913i
\(712\) −60492.3 154132.i −0.000167595 0.000427024i
\(713\) 1.51965e7 + 2.02784e8i 0.0419253 + 0.559454i
\(714\) −7.04390e7 7.59152e7i −0.193517 0.208562i
\(715\) 2.87000e7 6.55059e6i 0.0785170 0.0179210i
\(716\) −1.04065e7 + 6.90425e7i −0.0283508 + 0.188095i
\(717\) −6.85507e7 + 1.00545e8i −0.185975 + 0.272775i
\(718\) 2.81772e7 + 9.13484e7i 0.0761246 + 0.246790i
\(719\) −1.51980e7 + 2.02803e8i −0.0408883 + 0.545617i 0.938717 + 0.344688i \(0.112015\pi\)
−0.979606 + 0.200929i \(0.935604\pi\)
\(720\) 2.61917e8 2.08872e8i 0.701724 0.559607i
\(721\) 1.10754e8 3.59055e8i 0.295497 0.957979i
\(722\) −1.08623e7 4.26314e6i −0.0288609 0.0113271i
\(723\) −1.94333e8 + 8.51430e8i −0.514201 + 2.25286i
\(724\) 2.57124e8 + 4.45351e8i 0.677526 + 1.17351i
\(725\) 1.94205e7 + 1.12125e7i 0.0509621 + 0.0294230i
\(726\) −3.52762e7 3.27315e7i −0.0921875 0.0855375i
\(727\) −2.61551e8 2.08580e8i −0.680695 0.542836i 0.220965 0.975282i \(-0.429079\pi\)
−0.901660 + 0.432446i \(0.857651\pi\)
\(728\) 1.38358e7 9.43306e6i 0.0358599 0.0244489i
\(729\) −4.19409e8 + 2.01976e8i −1.08257 + 0.521337i
\(730\) 1.52330e8i 0.391577i
\(731\) −7.70146e7 + 3.04523e8i −0.197161 + 0.779594i
\(732\) 3.81757e8 0.973315
\(733\) −1.75438e8 3.64302e8i −0.445464 0.925016i −0.995928 0.0901568i \(-0.971263\pi\)
0.550463 0.834859i \(-0.314451\pi\)
\(734\) 2.51647e7 + 3.69098e7i 0.0636360 + 0.0933369i
\(735\) 8.76619e7 1.09925e8i 0.220774 0.276842i
\(736\) −1.68219e8 + 1.81297e8i −0.421932 + 0.454734i
\(737\) 1.45473e8 2.51967e8i 0.363397 0.629422i
\(738\) −1.90913e8 + 1.10224e8i −0.474971 + 0.274225i
\(739\) 4.05040e8 + 9.24477e7i 1.00361 + 0.229067i 0.692586 0.721335i \(-0.256471\pi\)
0.311023 + 0.950402i \(0.399328\pi\)
\(740\) −7.19423e7 + 1.83306e8i −0.177537 + 0.452358i
\(741\) 4.92735e7 + 1.51989e7i 0.121104 + 0.0373557i
\(742\) −3.66269e7 4.59287e7i −0.0896580 0.112428i
\(743\) 9.40401e7 + 7.04733e6i 0.229270 + 0.0171814i 0.188870 0.982002i \(-0.439518\pi\)
0.0404002 + 0.999184i \(0.487137\pi\)
\(744\) −2.07379e8 + 6.39681e7i −0.503555 + 0.155326i
\(745\) −2.04681e8 1.39549e8i −0.495003 0.337488i
\(746\) 6.08942e7 + 9.17833e6i 0.146676 + 0.0221079i
\(747\) −9.16025e7 4.01337e8i −0.219758 0.962824i
\(748\) 1.88874e8 1.75250e8i 0.451303 0.418748i
\(749\) 2.98412e8 2.23629e7i 0.710184 0.0532209i
\(750\) 1.49940e8 5.88472e7i 0.355414 0.139490i
\(751\) −9.98974e6 6.62776e7i −0.0235849 0.156476i 0.973938 0.226813i \(-0.0728306\pi\)
−0.997523 + 0.0703371i \(0.977592\pi\)
\(752\) −5.79296e8 2.78974e8i −1.36222 0.656010i
\(753\) 3.38322e8 7.02532e8i 0.792401 1.64544i
\(754\) 6.56496e6 989508.i 0.0153150 0.00230837i
\(755\) −2.82769e8 7.20483e8i −0.657038 1.67411i
\(756\) 4.05770e6 + 5.41462e7i 0.00939105 + 0.125315i
\(757\) −3.46034e8 3.72936e8i −0.797684 0.859699i 0.194954 0.980812i \(-0.437544\pi\)
−0.992639 + 0.121113i \(0.961354\pi\)
\(758\) −1.42951e8 + 3.26277e7i −0.328231 + 0.0749167i
\(759\) 6.49051e7 4.30617e8i 0.148441 0.984841i
\(760\) 1.30672e8 1.91660e8i 0.297673 0.436607i
\(761\) 9.63746e7 + 3.12439e8i 0.218680 + 0.708942i 0.996735 + 0.0807461i \(0.0257303\pi\)
−0.778055 + 0.628196i \(0.783794\pi\)
\(762\) −1.42626e7 + 1.90321e8i −0.0322354 + 0.430151i
\(763\) −2.24404e8 + 1.78956e8i −0.505192 + 0.402877i