Properties

Label 43.7.h.a.3.2
Level 43
Weight 7
Character 43.3
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 3.2
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.27248 + 13.0249i) q^{2} +(36.1802 + 2.71133i) q^{3} +(-90.4018 - 113.360i) q^{4} +(22.1660 - 71.8603i) q^{5} +(-262.254 + 454.238i) q^{6} +(414.759 - 239.462i) q^{7} +(1141.53 - 260.547i) q^{8} +(580.795 + 87.5408i) q^{9} +O(q^{10})\) \(q+(-6.27248 + 13.0249i) q^{2} +(36.1802 + 2.71133i) q^{3} +(-90.4018 - 113.360i) q^{4} +(22.1660 - 71.8603i) q^{5} +(-262.254 + 454.238i) q^{6} +(414.759 - 239.462i) q^{7} +(1141.53 - 260.547i) q^{8} +(580.795 + 87.5408i) q^{9} +(796.941 + 739.453i) q^{10} +(846.924 - 1062.01i) q^{11} +(-2963.39 - 4346.50i) q^{12} +(1571.59 - 1458.22i) q^{13} +(517.401 + 6904.24i) q^{14} +(996.805 - 2539.82i) q^{15} +(-1701.72 + 7455.72i) q^{16} +(-5328.85 + 1643.73i) q^{17} +(-4783.24 + 7015.73i) q^{18} +(1499.51 + 9948.62i) q^{19} +(-10149.9 + 3983.56i) q^{20} +(15655.3 - 7539.21i) q^{21} +(8520.29 + 17692.6i) q^{22} +(-6761.32 - 17227.6i) q^{23} +(42007.1 - 6331.56i) q^{24} +(8237.41 + 5616.17i) q^{25} +(9135.49 + 29616.5i) q^{26} +(-5010.24 - 1143.56i) q^{27} +(-64640.4 - 25369.5i) q^{28} +(-18213.1 + 1364.88i) q^{29} +(26828.5 + 28914.3i) q^{30} +(-3344.82 + 2280.46i) q^{31} +(-27848.5 - 22208.4i) q^{32} +(33521.3 - 36127.4i) q^{33} +(12015.6 - 79718.3i) q^{34} +(-8014.23 - 35112.6i) q^{35} +(-42581.3 - 73752.9i) q^{36} +(42707.1 + 24657.0i) q^{37} +(-138986. - 42871.5i) q^{38} +(60814.0 - 48497.6i) q^{39} +(6580.14 - 87805.9i) q^{40} +(52146.9 + 25112.6i) q^{41} +251199. i q^{42} +(75488.3 + 24957.6i) q^{43} -196953. q^{44} +(19164.6 - 39795.7i) q^{45} +(266798. + 19993.8i) q^{46} +(69445.3 + 87081.7i) q^{47} +(-81783.4 + 265135. i) q^{48} +(55859.1 - 96750.8i) q^{49} +(-124819. + 72064.4i) q^{50} +(-197255. + 45022.3i) q^{51} +(-307379. - 46329.9i) q^{52} +(-100694. - 93430.4i) q^{53} +(46321.4 - 58085.2i) q^{54} +(-57543.4 - 84400.6i) q^{55} +(411069. - 381416. i) q^{56} +(27278.6 + 364008. i) q^{57} +(96463.6 - 245785. i) q^{58} +(-55884.8 + 244847. i) q^{59} +(-378027. + 116606. i) q^{60} +(168430. - 247041. i) q^{61} +(-8722.54 - 57870.3i) q^{62} +(261853. - 102770. i) q^{63} +(22974.5 - 11064.0i) q^{64} +(-69952.4 - 145258. i) q^{65} +(260295. + 663221. i) q^{66} +(-541186. + 81570.7i) q^{67} +(668071. + 455483. i) q^{68} +(-197916. - 641628. i) q^{69} +(507609. + 115859. i) q^{70} +(-342454. - 134403. i) q^{71} +(685803. - 51393.8i) q^{72} +(307878. + 331814. i) q^{73} +(-589035. + 401597. i) q^{74} +(282803. + 225528. i) q^{75} +(992219. - 1.06936e6i) q^{76} +(96959.4 - 643284. i) q^{77} +(250223. + 1.09630e6i) q^{78} +(-187965. - 325565. i) q^{79} +(498050. + 287549. i) q^{80} +(-587330. - 181167. i) q^{81} +(-654181. + 521692. i) q^{82} +(-17214.6 + 229712. i) q^{83} +(-2.26992e6 - 1.09313e6i) q^{84} +419368. i q^{85} +(-798570. + 826685. i) q^{86} -662652. q^{87} +(690085. - 1.43298e6i) q^{88} +(899059. + 67375.1i) q^{89} +(398127. + 499236. i) q^{90} +(302643. - 981146. i) q^{91} +(-1.34168e6 + 2.32387e6i) q^{92} +(-127199. + 73438.6i) q^{93} +(-1.56983e6 + 358303. i) q^{94} +(748149. + 112765. i) q^{95} +(-947348. - 879010. i) q^{96} +(-151726. + 190258. i) q^{97} +(909799. + 1.33443e6i) q^{98} +(584858. - 542669. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.27248 + 13.0249i −0.784060 + 1.62812i −0.00595638 + 0.999982i \(0.501896\pi\)
−0.778104 + 0.628136i \(0.783818\pi\)
\(3\) 36.1802 + 2.71133i 1.34001 + 0.100420i 0.725353 0.688378i \(-0.241677\pi\)
0.614654 + 0.788797i \(0.289296\pi\)
\(4\) −90.4018 113.360i −1.41253 1.77125i
\(5\) 22.1660 71.8603i 0.177328 0.574882i −0.822652 0.568545i \(-0.807507\pi\)
0.999980 0.00633745i \(-0.00201729\pi\)
\(6\) −262.254 + 454.238i −1.21414 + 2.10295i
\(7\) 414.759 239.462i 1.20921 0.698138i 0.246624 0.969111i \(-0.420679\pi\)
0.962587 + 0.270973i \(0.0873453\pi\)
\(8\) 1141.53 260.547i 2.22955 0.508880i
\(9\) 580.795 + 87.5408i 0.796701 + 0.120083i
\(10\) 796.941 + 739.453i 0.796941 + 0.739453i
\(11\) 846.924 1062.01i 0.636306 0.797903i −0.354229 0.935159i \(-0.615257\pi\)
0.990536 + 0.137256i \(0.0438282\pi\)
\(12\) −2963.39 4346.50i −1.71493 2.51534i
\(13\) 1571.59 1458.22i 0.715334 0.663733i −0.236050 0.971741i \(-0.575853\pi\)
0.951384 + 0.308008i \(0.0996624\pi\)
\(14\) 517.401 + 6904.24i 0.188557 + 2.51612i
\(15\) 996.805 2539.82i 0.295350 0.752539i
\(16\) −1701.72 + 7455.72i −0.415459 + 1.82024i
\(17\) −5328.85 + 1643.73i −1.08464 + 0.334568i −0.785008 0.619486i \(-0.787341\pi\)
−0.299635 + 0.954054i \(0.596865\pi\)
\(18\) −4783.24 + 7015.73i −0.820172 + 1.20297i
\(19\) 1499.51 + 9948.62i 0.218620 + 1.45045i 0.781498 + 0.623907i \(0.214456\pi\)
−0.562878 + 0.826540i \(0.690306\pi\)
\(20\) −10149.9 + 3983.56i −1.26874 + 0.497945i
\(21\) 15655.3 7539.21i 1.69046 0.814081i
\(22\) 8520.29 + 17692.6i 0.800177 + 1.66159i
\(23\) −6761.32 17227.6i −0.555710 1.41592i −0.882268 0.470748i \(-0.843984\pi\)
0.326558 0.945177i \(-0.394111\pi\)
\(24\) 42007.1 6331.56i 3.03871 0.458012i
\(25\) 8237.41 + 5616.17i 0.527194 + 0.359435i
\(26\) 9135.49 + 29616.5i 0.519770 + 1.68505i
\(27\) −5010.24 1143.56i −0.254547 0.0580986i
\(28\) −64640.4 25369.5i −2.94462 1.15568i
\(29\) −18213.1 + 1364.88i −0.746774 + 0.0559630i −0.442681 0.896679i \(-0.645972\pi\)
−0.304093 + 0.952642i \(0.598353\pi\)
\(30\) 26828.5 + 28914.3i 0.993650 + 1.07090i
\(31\) −3344.82 + 2280.46i −0.112276 + 0.0765487i −0.618156 0.786055i \(-0.712120\pi\)
0.505880 + 0.862604i \(0.331168\pi\)
\(32\) −27848.5 22208.4i −0.849868 0.677747i
\(33\) 33521.3 36127.4i 0.932779 1.00530i
\(34\) 12015.6 79718.3i 0.305709 2.02825i
\(35\) −8014.23 35112.6i −0.186921 0.818954i
\(36\) −42581.3 73752.9i −0.912664 1.58078i
\(37\) 42707.1 + 24657.0i 0.843131 + 0.486782i 0.858327 0.513103i \(-0.171504\pi\)
−0.0151965 + 0.999885i \(0.504837\pi\)
\(38\) −138986. 42871.5i −2.53291 0.781299i
\(39\) 60814.0 48497.6i 1.02520 0.817573i
\(40\) 6580.14 87805.9i 0.102815 1.37197i
\(41\) 52146.9 + 25112.6i 0.756619 + 0.364368i 0.772091 0.635512i \(-0.219211\pi\)
−0.0154724 + 0.999880i \(0.504925\pi\)
\(42\) 251199.i 3.39055i
\(43\) 75488.3 + 24957.6i 0.949455 + 0.313904i
\(44\) −196953. −2.31209
\(45\) 19164.6 39795.7i 0.210311 0.436715i
\(46\) 266798. + 19993.8i 2.74100 + 0.205410i
\(47\) 69445.3 + 87081.7i 0.668882 + 0.838751i 0.994278 0.106826i \(-0.0340689\pi\)
−0.325396 + 0.945578i \(0.605498\pi\)
\(48\) −81783.4 + 265135.i −0.739505 + 2.39742i
\(49\) 55859.1 96750.8i 0.474795 0.822369i
\(50\) −124819. + 72064.4i −0.998554 + 0.576516i
\(51\) −197255. + 45022.3i −1.48703 + 0.339404i
\(52\) −307379. 46329.9i −2.18607 0.329497i
\(53\) −100694. 93430.4i −0.676357 0.627568i 0.265290 0.964169i \(-0.414532\pi\)
−0.941647 + 0.336601i \(0.890723\pi\)
\(54\) 46321.4 58085.2i 0.294171 0.368879i
\(55\) −57543.4 84400.6i −0.345866 0.507292i
\(56\) 411069. 381416.i 2.34073 2.17188i
\(57\) 27278.6 + 364008.i 0.147298 + 1.96556i
\(58\) 96463.6 245785.i 0.494401 1.25971i
\(59\) −55884.8 + 244847.i −0.272106 + 1.19217i 0.635417 + 0.772169i \(0.280828\pi\)
−0.907523 + 0.420003i \(0.862029\pi\)
\(60\) −378027. + 116606.i −1.75013 + 0.539843i
\(61\) 168430. 247041.i 0.742044 1.08838i −0.250692 0.968067i \(-0.580658\pi\)
0.992736 0.120312i \(-0.0383895\pi\)
\(62\) −8722.54 57870.3i −0.0365989 0.242818i
\(63\) 261853. 102770.i 1.04722 0.411002i
\(64\) 22974.5 11064.0i 0.0876409 0.0422056i
\(65\) −69952.4 145258.i −0.254720 0.528931i
\(66\) 260295. + 663221.i 0.905387 + 2.30689i
\(67\) −541186. + 81570.7i −1.79938 + 0.271212i −0.961531 0.274695i \(-0.911423\pi\)
−0.837846 + 0.545907i \(0.816185\pi\)
\(68\) 668071. + 455483.i 2.12469 + 1.44859i
\(69\) −197916. 641628.i −0.602468 1.95315i
\(70\) 507609. + 115859.i 1.47991 + 0.337780i
\(71\) −342454. 134403.i −0.956813 0.375521i −0.165006 0.986293i \(-0.552764\pi\)
−0.791807 + 0.610771i \(0.790859\pi\)
\(72\) 685803. 51393.8i 1.83739 0.137694i
\(73\) 307878. + 331814.i 0.791427 + 0.852955i 0.991936 0.126737i \(-0.0404503\pi\)
−0.200510 + 0.979692i \(0.564260\pi\)
\(74\) −589035. + 401597.i −1.45360 + 0.991050i
\(75\) 282803. + 225528.i 0.670349 + 0.534585i
\(76\) 992219. 1.06936e6i 2.26030 2.43603i
\(77\) 96959.4 643284.i 0.212382 1.40906i
\(78\) 250223. + 1.09630e6i 0.527283 + 2.31018i
\(79\) −187965. 325565.i −0.381237 0.660322i 0.610002 0.792400i \(-0.291169\pi\)
−0.991239 + 0.132077i \(0.957835\pi\)
\(80\) 498050. + 287549.i 0.972754 + 0.561620i
\(81\) −587330. 181167.i −1.10517 0.340898i
\(82\) −654181. + 521692.i −1.18647 + 0.946178i
\(83\) −17214.6 + 229712.i −0.0301066 + 0.401744i 0.961710 + 0.274070i \(0.0883702\pi\)
−0.991816 + 0.127674i \(0.959249\pi\)
\(84\) −2.26992e6 1.09313e6i −3.82976 1.84432i
\(85\) 419368.i 0.682870i
\(86\) −798570. + 826685.i −1.25550 + 1.29970i
\(87\) −662652. −1.00630
\(88\) 690085. 1.43298e6i 1.01264 2.10277i
\(89\) 899059. + 67375.1i 1.27532 + 0.0955718i 0.695114 0.718900i \(-0.255354\pi\)
0.580203 + 0.814472i \(0.302973\pi\)
\(90\) 398127. + 499236.i 0.546128 + 0.684823i
\(91\) 302643. 981146.i 0.401612 1.30200i
\(92\) −1.34168e6 + 2.32387e6i −1.72301 + 2.98434i
\(93\) −127199. + 73438.6i −0.158138 + 0.0913010i
\(94\) −1.56983e6 + 358303.i −1.89003 + 0.431387i
\(95\) 748149. + 112765.i 0.872604 + 0.131524i
\(96\) −947348. 879010.i −1.07077 0.993528i
\(97\) −151726. + 190258.i −0.166244 + 0.208463i −0.857974 0.513693i \(-0.828277\pi\)
0.691731 + 0.722156i \(0.256849\pi\)
\(98\) 909799. + 1.33443e6i 0.966645 + 1.41781i
\(99\) 584858. 542669.i 0.602761 0.559280i
\(100\) −108026. 1.44151e6i −0.108026 1.44151i
\(101\) −318002. + 810255.i −0.308649 + 0.786426i 0.689423 + 0.724359i \(0.257864\pi\)
−0.998072 + 0.0620665i \(0.980231\pi\)
\(102\) 650869. 2.85164e6i 0.613328 2.68717i
\(103\) 3515.67 1084.44i 0.00321734 0.000992417i −0.293146 0.956068i \(-0.594702\pi\)
0.296363 + 0.955075i \(0.404226\pi\)
\(104\) 1.41408e6 2.07407e6i 1.25711 1.84384i
\(105\) −194754. 1.29211e6i −0.168236 1.11617i
\(106\) 1.84853e6 725493.i 1.55206 0.609138i
\(107\) −220586. + 106229.i −0.180064 + 0.0867143i −0.521744 0.853102i \(-0.674718\pi\)
0.341680 + 0.939816i \(0.389004\pi\)
\(108\) 323301. + 671342.i 0.256647 + 0.532933i
\(109\) −154864. 394588.i −0.119584 0.304694i 0.858531 0.512762i \(-0.171378\pi\)
−0.978114 + 0.208068i \(0.933282\pi\)
\(110\) 1.46025e6 220098.i 1.09711 0.165363i
\(111\) 1.47830e6 + 1.00789e6i 1.08092 + 0.736957i
\(112\) 1.07955e6 + 3.49983e6i 0.768405 + 2.49111i
\(113\) −1.52867e6 348910.i −1.05945 0.241812i −0.342915 0.939366i \(-0.611414\pi\)
−0.716532 + 0.697554i \(0.754272\pi\)
\(114\) −4.91229e6 1.92793e6i −3.31566 1.30130i
\(115\) −1.38785e6 + 104005.i −0.912533 + 0.0683849i
\(116\) 1.80122e6 + 1.94125e6i 1.15396 + 1.24368i
\(117\) 1.04043e6 709350.i 0.649611 0.442897i
\(118\) −2.83858e6 2.26370e6i −1.72765 1.37776i
\(119\) −1.81658e6 + 1.95781e6i −1.07799 + 1.16179i
\(120\) 476141. 3.15899e6i 0.275545 1.82812i
\(121\) −16373.3 71736.3i −0.00924232 0.0404933i
\(122\) 2.16123e6 + 3.74335e6i 1.19020 + 2.06149i
\(123\) 1.81860e6 + 1.04997e6i 0.977284 + 0.564235i
\(124\) 560892. + 173012.i 0.294181 + 0.0907427i
\(125\) 1.50484e6 1.20007e6i 0.770477 0.614435i
\(126\) −303898. + 4.05524e6i −0.151921 + 2.02724i
\(127\) −3.35988e6 1.61803e6i −1.64026 0.789908i −0.999759 0.0219503i \(-0.993012\pi\)
−0.640501 0.767957i \(-0.721273\pi\)
\(128\) 1.91101e6i 0.911240i
\(129\) 2.66351e6 + 1.10764e6i 1.24075 + 0.515978i
\(130\) 2.33075e6 1.06088
\(131\) 153725. 319214.i 0.0683804 0.141993i −0.863977 0.503531i \(-0.832034\pi\)
0.932357 + 0.361538i \(0.117748\pi\)
\(132\) −7.12579e6 534004.i −3.09821 0.232179i
\(133\) 3.00425e6 + 3.76721e6i 1.27697 + 1.60127i
\(134\) 2.33213e6 7.56057e6i 0.969254 3.14224i
\(135\) −193233. + 334690.i −0.0785381 + 0.136032i
\(136\) −5.65477e6 + 3.26478e6i −2.24801 + 1.29789i
\(137\) −300419. + 68568.6i −0.116833 + 0.0266663i −0.280538 0.959843i \(-0.590513\pi\)
0.163705 + 0.986509i \(0.447656\pi\)
\(138\) 9.59859e6 + 1.44676e6i 3.65233 + 0.550501i
\(139\) 748329. + 694348.i 0.278643 + 0.258543i 0.807097 0.590419i \(-0.201038\pi\)
−0.528454 + 0.848962i \(0.677228\pi\)
\(140\) −3.25588e6 + 4.08274e6i −1.18654 + 1.48788i
\(141\) 2.27644e6 + 3.33892e6i 0.812079 + 1.19110i
\(142\) 3.89863e6 3.61740e6i 1.36159 1.26337i
\(143\) −217628. 2.90404e6i −0.0744229 0.993104i
\(144\) −1.64103e6 + 4.18128e6i −0.549578 + 1.40030i
\(145\) −305629. + 1.33905e6i −0.100252 + 0.439231i
\(146\) −6.25302e6 + 1.92880e6i −2.00924 + 0.619768i
\(147\) 2.28332e6 3.34901e6i 0.718810 1.05430i
\(148\) −1.06568e6 7.07032e6i −0.328731 2.18099i
\(149\) −3.79146e6 + 1.48804e6i −1.14617 + 0.449837i −0.860982 0.508636i \(-0.830150\pi\)
−0.285184 + 0.958473i \(0.592055\pi\)
\(150\) −4.71137e6 + 2.26888e6i −1.39596 + 0.672260i
\(151\) 2.31932e6 + 4.81612e6i 0.673643 + 1.39883i 0.904766 + 0.425910i \(0.140046\pi\)
−0.231122 + 0.972925i \(0.574240\pi\)
\(152\) 4.30382e6 + 1.09659e7i 1.22553 + 3.12259i
\(153\) −3.23886e6 + 488180.i −0.904313 + 0.136303i
\(154\) 7.77056e6 + 5.29788e6i 2.12760 + 1.45057i
\(155\) 89733.4 + 290909.i 0.0240968 + 0.0781199i
\(156\) −1.09954e7 2.50963e6i −2.89626 0.661052i
\(157\) 4.83624e6 + 1.89808e6i 1.24971 + 0.490474i 0.895654 0.444751i \(-0.146708\pi\)
0.354054 + 0.935225i \(0.384803\pi\)
\(158\) 5.41947e6 406133.i 1.37400 0.102967i
\(159\) −3.38980e6 3.65334e6i −0.843302 0.908864i
\(160\) −2.21319e6 + 1.50893e6i −0.540330 + 0.368391i
\(161\) −6.92966e6 5.52622e6i −1.66048 1.32419i
\(162\) 6.04371e6 6.51357e6i 1.42154 1.53205i
\(163\) 269205. 1.78606e6i 0.0621613 0.412413i −0.936010 0.351972i \(-0.885511\pi\)
0.998172 0.0604411i \(-0.0192507\pi\)
\(164\) −1.86740e6 8.18161e6i −0.423356 1.85484i
\(165\) −1.85309e6 3.20965e6i −0.412520 0.714506i
\(166\) −2.88401e6 1.66508e6i −0.630482 0.364009i
\(167\) 3.48282e6 + 1.07431e6i 0.747794 + 0.230664i 0.645152 0.764054i \(-0.276794\pi\)
0.102642 + 0.994718i \(0.467270\pi\)
\(168\) 1.59067e7 1.26852e7i 3.35469 2.67527i
\(169\) −17226.0 + 229865.i −0.00356882 + 0.0476226i
\(170\) −5.46224e6 2.63048e6i −1.11179 0.535412i
\(171\) 5.90938e6i 1.18183i
\(172\) −3.99508e6 1.08136e7i −0.785126 2.12512i
\(173\) 239308. 0.0462188 0.0231094 0.999733i \(-0.492643\pi\)
0.0231094 + 0.999733i \(0.492643\pi\)
\(174\) 4.15647e6 8.63101e6i 0.789001 1.63838i
\(175\) 4.76140e6 + 356818.i 0.888424 + 0.0665782i
\(176\) 6.47681e6 + 8.12167e6i 1.18802 + 1.48973i
\(177\) −2.68578e6 + 8.70709e6i −0.484341 + 1.57019i
\(178\) −6.51689e6 + 1.12876e7i −1.15553 + 2.00143i
\(179\) −49212.5 + 28412.9i −0.00858058 + 0.00495400i −0.504284 0.863538i \(-0.668244\pi\)
0.495704 + 0.868492i \(0.334910\pi\)
\(180\) −6.24376e6 + 1.42510e6i −1.07060 + 0.244358i
\(181\) −3.15819e6 476021.i −0.532602 0.0802768i −0.122765 0.992436i \(-0.539176\pi\)
−0.409837 + 0.912159i \(0.634414\pi\)
\(182\) 1.08810e7 + 1.00961e7i 1.80491 + 1.67472i
\(183\) 6.76363e6 8.48133e6i 1.10364 1.38392i
\(184\) −1.22068e7 1.79041e7i −1.95952 2.87408i
\(185\) 2.71850e6 2.52240e6i 0.429353 0.398381i
\(186\) −158678. 2.11741e6i −0.0246591 0.329053i
\(187\) −2.76747e6 + 7.05140e6i −0.423212 + 1.07833i
\(188\) 3.59362e6 1.57447e7i 0.540827 2.36952i
\(189\) −2.35188e6 + 725460.i −0.348362 + 0.107455i
\(190\) −6.16151e6 + 9.03728e6i −0.898310 + 1.31758i
\(191\) 1.55275e6 + 1.03019e7i 0.222845 + 1.47848i 0.768165 + 0.640252i \(0.221170\pi\)
−0.545320 + 0.838228i \(0.683592\pi\)
\(192\) 861220. 338004.i 0.121678 0.0477549i
\(193\) −1.19158e6 + 573837.i −0.165750 + 0.0798209i −0.514919 0.857239i \(-0.672178\pi\)
0.349169 + 0.937060i \(0.386464\pi\)
\(194\) −1.52641e6 3.16962e6i −0.209057 0.434112i
\(195\) −2.13705e6 5.44511e6i −0.288211 0.734350i
\(196\) −1.60175e7 + 2.41424e6i −2.12728 + 0.320636i
\(197\) −9.30244e6 6.34230e6i −1.21674 0.829560i −0.227205 0.973847i \(-0.572959\pi\)
−0.989536 + 0.144287i \(0.953911\pi\)
\(198\) 3.39972e6 + 1.10216e7i 0.437974 + 1.41988i
\(199\) −7.09573e6 1.61955e6i −0.900405 0.205511i −0.252828 0.967511i \(-0.581361\pi\)
−0.647577 + 0.762000i \(0.724218\pi\)
\(200\) 1.08665e7 + 4.26479e6i 1.35831 + 0.533099i
\(201\) −1.98014e7 + 1.48391e6i −2.43841 + 0.182734i
\(202\) −8.55887e6 9.22427e6i −1.03839 1.11912i
\(203\) −7.22720e6 + 4.92742e6i −0.863937 + 0.589023i
\(204\) 2.29360e7 + 1.82908e7i 2.70163 + 2.15448i
\(205\) 2.96049e6 3.19065e6i 0.343638 0.370354i
\(206\) −7927.20 + 52593.5i −0.000906814 + 0.00601632i
\(207\) −2.41883e6 1.05976e7i −0.272705 1.19480i
\(208\) 8.19768e6 + 1.41988e7i 0.910964 + 1.57784i
\(209\) 1.18355e7 + 6.83322e6i 1.29643 + 0.748491i
\(210\) 1.80513e7 + 5.56807e6i 1.94917 + 0.601239i
\(211\) 8.50661e6 6.78379e6i 0.905543 0.722147i −0.0555252 0.998457i \(-0.517683\pi\)
0.961068 + 0.276311i \(0.0891119\pi\)
\(212\) −1.48837e6 + 1.98610e7i −0.156208 + 2.08446i
\(213\) −1.20256e7 5.79123e6i −1.24442 0.599283i
\(214\) 3.53944e6i 0.361155i
\(215\) 3.46673e6 4.87140e6i 0.348823 0.490161i
\(216\) −6.01729e6 −0.597089
\(217\) −841214. + 1.74680e6i −0.0823242 + 0.170948i
\(218\) 6.11087e6 + 457946.i 0.589839 + 0.0442023i
\(219\) 1.02394e7 + 1.28398e7i 0.974863 + 1.22244i
\(220\) −4.36565e6 + 1.41531e7i −0.409997 + 1.32918i
\(221\) −5.97784e6 + 1.03539e7i −0.553818 + 0.959241i
\(222\) −2.24002e7 + 1.29328e7i −2.04736 + 1.18204i
\(223\) 1.64179e7 3.74728e6i 1.48048 0.337911i 0.595433 0.803405i \(-0.296981\pi\)
0.885051 + 0.465495i \(0.154124\pi\)
\(224\) −1.68685e7 2.54251e6i −1.50083 0.226214i
\(225\) 4.29260e6 + 3.98295e6i 0.376854 + 0.349669i
\(226\) 1.41331e7 1.77224e7i 1.22437 1.53531i
\(227\) 2.64689e6 + 3.88227e6i 0.226286 + 0.331901i 0.922545 0.385890i \(-0.126106\pi\)
−0.696259 + 0.717791i \(0.745153\pi\)
\(228\) 3.87980e7 3.59993e7i 3.27344 3.03731i
\(229\) 1.03693e6 + 1.38368e7i 0.0863458 + 1.15220i 0.857127 + 0.515105i \(0.172247\pi\)
−0.770781 + 0.637100i \(0.780134\pi\)
\(230\) 7.35060e6 1.87290e7i 0.604142 1.53933i
\(231\) 5.25216e6 2.30112e7i 0.426091 1.86683i
\(232\) −2.04351e7 + 6.30340e6i −1.63649 + 0.504790i
\(233\) −9.17053e6 + 1.34507e7i −0.724981 + 1.06335i 0.269958 + 0.962872i \(0.412990\pi\)
−0.994939 + 0.100480i \(0.967962\pi\)
\(234\) 2.71319e6 + 1.80009e7i 0.211755 + 1.40490i
\(235\) 7.79704e6 3.06011e6i 0.600795 0.235795i
\(236\) 3.28080e7 1.57995e7i 2.49600 1.20201i
\(237\) −5.91789e6 1.22886e7i −0.444551 0.923120i
\(238\) −1.41059e7 3.59412e7i −1.04633 2.66601i
\(239\) 1.81039e7 2.72872e6i 1.32611 0.199878i 0.552483 0.833524i \(-0.313680\pi\)
0.773624 + 0.633645i \(0.218442\pi\)
\(240\) 1.72399e7 + 1.17540e7i 1.24710 + 0.850257i
\(241\) −2.48090e6 8.04287e6i −0.177238 0.574592i −0.999981 0.00617832i \(-0.998033\pi\)
0.822743 0.568414i \(-0.192443\pi\)
\(242\) 1.03706e6 + 236703.i 0.0731743 + 0.0167016i
\(243\) −1.72711e7 6.77840e6i −1.20365 0.472398i
\(244\) −4.32310e7 + 3.23972e6i −2.97595 + 0.223017i
\(245\) −5.71437e6 6.15863e6i −0.388571 0.418780i
\(246\) −2.50829e7 + 1.71012e7i −1.68489 + 1.14874i
\(247\) 1.68639e7 + 1.34485e7i 1.11910 + 0.892449i
\(248\) −3.22405e6 + 3.47470e6i −0.211371 + 0.227804i
\(249\) −1.24565e6 + 8.26435e6i −0.0806860 + 0.535317i
\(250\) 6.19175e6 + 2.71278e7i 0.396272 + 1.73618i
\(251\) −5.65298e6 9.79125e6i −0.357484 0.619180i 0.630056 0.776550i \(-0.283032\pi\)
−0.987540 + 0.157370i \(0.949699\pi\)
\(252\) −3.53220e7 2.03932e7i −2.20721 1.27433i
\(253\) −2.40221e7 7.40985e6i −1.48337 0.457560i
\(254\) 4.21496e7 3.36132e7i 2.57213 2.05120i
\(255\) −1.13704e6 + 1.51728e7i −0.0685736 + 0.915050i
\(256\) 2.63612e7 + 1.26949e7i 1.57125 + 0.756673i
\(257\) 1.51443e7i 0.892177i 0.894989 + 0.446089i \(0.147183\pi\)
−0.894989 + 0.446089i \(0.852817\pi\)
\(258\) −3.11338e7 + 2.77444e7i −1.81290 + 1.61553i
\(259\) 2.36176e7 1.35936
\(260\) −1.01426e7 + 2.10614e7i −0.577072 + 1.19830i
\(261\) −1.06975e7 801670.i −0.601676 0.0450894i
\(262\) 3.19350e6 + 4.00453e6i 0.177567 + 0.222663i
\(263\) 3.29859e6 1.06938e7i 0.181327 0.587846i −0.818583 0.574388i \(-0.805240\pi\)
0.999909 0.0134578i \(-0.00428388\pi\)
\(264\) 2.88527e7 4.99743e7i 1.56810 2.71603i
\(265\) −8.94592e6 + 5.16493e6i −0.480714 + 0.277541i
\(266\) −6.79118e7 + 1.55004e7i −3.60828 + 0.823566i
\(267\) 3.23454e7 + 4.87529e6i 1.69934 + 0.256134i
\(268\) 5.81710e7 + 5.39748e7i 3.02206 + 2.80406i
\(269\) −3.40258e6 + 4.26670e6i −0.174804 + 0.219197i −0.861514 0.507735i \(-0.830483\pi\)
0.686709 + 0.726932i \(0.259054\pi\)
\(270\) −3.14726e6 4.61618e6i −0.159897 0.234526i
\(271\) 1.07169e7 9.94387e6i 0.538472 0.499629i −0.363400 0.931633i \(-0.618384\pi\)
0.901871 + 0.432004i \(0.142194\pi\)
\(272\) −3.18700e6 4.25276e7i −0.158371 2.11331i
\(273\) 1.36099e7 3.46775e7i 0.668909 1.70435i
\(274\) 991269. 4.34303e6i 0.0481881 0.211126i
\(275\) 1.29409e7 3.99173e6i 0.622251 0.191939i
\(276\) −5.48431e7 + 8.04401e7i −2.60853 + 3.82600i
\(277\) −1.46324e6 9.70797e6i −0.0688456 0.456761i −0.996519 0.0833678i \(-0.973432\pi\)
0.927673 0.373393i \(-0.121806\pi\)
\(278\) −1.37377e7 + 5.39166e6i −0.639411 + 0.250950i
\(279\) −2.14229e6 + 1.03167e6i −0.0986429 + 0.0475039i
\(280\) −1.82970e7 3.79940e7i −0.833498 1.73078i
\(281\) −4.82413e6 1.22917e7i −0.217420 0.553978i 0.779999 0.625781i \(-0.215220\pi\)
−0.997419 + 0.0718037i \(0.977125\pi\)
\(282\) −5.77681e7 + 8.70715e6i −2.57597 + 0.388265i
\(283\) −2.07639e7 1.41566e7i −0.916114 0.624596i 0.0107707 0.999942i \(-0.496572\pi\)
−0.926885 + 0.375346i \(0.877524\pi\)
\(284\) 1.57224e7 + 5.09709e7i 0.686381 + 2.22519i
\(285\) 2.67624e7 + 6.10834e6i 1.15609 + 0.263869i
\(286\) 3.91901e7 + 1.53810e7i 1.67524 + 0.657484i
\(287\) 2.76419e7 2.07148e6i 1.16929 0.0876263i
\(288\) −1.42301e7 1.53364e7i −0.595705 0.642017i
\(289\) 5.75140e6 3.92124e6i 0.238276 0.162454i
\(290\) −1.55240e7 1.23800e7i −0.636516 0.507605i
\(291\) −6.00533e6 + 6.47220e6i −0.243701 + 0.262647i
\(292\) 9.78176e6 6.48977e7i 0.392888 2.60664i
\(293\) 605051. + 2.65090e6i 0.0240541 + 0.105388i 0.985530 0.169502i \(-0.0542158\pi\)
−0.961476 + 0.274890i \(0.911359\pi\)
\(294\) 2.92986e7 + 5.07467e7i 1.15293 + 1.99694i
\(295\) 1.63561e7 + 9.44317e6i 0.637107 + 0.367834i
\(296\) 5.51757e7 + 1.70194e7i 2.12751 + 0.656251i
\(297\) −5.45776e6 + 4.35242e6i −0.208327 + 0.166135i
\(298\) 4.40024e6 5.87172e7i 0.166275 2.21879i
\(299\) −3.57476e7 1.72151e7i −1.33731 0.644016i
\(300\) 5.24468e7i 1.94247i
\(301\) 3.72859e7 7.72514e6i 1.36724 0.283274i
\(302\) −7.72776e7 −2.80564
\(303\) −1.37022e7 + 2.84530e7i −0.492565 + 1.02282i
\(304\) −7.67259e7 5.74981e6i −2.73100 0.204660i
\(305\) −1.40191e7 1.75793e7i −0.494105 0.619588i
\(306\) 1.39572e7 4.52481e7i 0.487118 1.57920i
\(307\) 1.13387e7 1.96392e7i 0.391875 0.678747i −0.600822 0.799383i \(-0.705160\pi\)
0.992697 + 0.120636i \(0.0384933\pi\)
\(308\) −8.16881e7 + 4.71626e7i −2.79580 + 1.61416i
\(309\) 130138. 29703.1i 0.00441091 0.00100676i
\(310\) −4.35192e6 655946.i −0.146082 0.0220183i
\(311\) −9.69919e6 8.99953e6i −0.322444 0.299184i 0.502297 0.864695i \(-0.332489\pi\)
−0.824741 + 0.565511i \(0.808679\pi\)
\(312\) 5.67851e7 7.12063e7i 1.86970 2.34452i
\(313\) 7.59732e6 + 1.11432e7i 0.247758 + 0.363394i 0.929892 0.367833i \(-0.119900\pi\)
−0.682134 + 0.731227i \(0.738948\pi\)
\(314\) −5.50576e7 + 5.10860e7i −1.77840 + 1.65011i
\(315\) −1.58084e6 2.10948e7i −0.0505773 0.674908i
\(316\) −1.99137e7 + 5.07394e7i −0.631090 + 1.60799i
\(317\) −1.16434e6 + 5.10129e6i −0.0365511 + 0.160141i −0.989910 0.141699i \(-0.954744\pi\)
0.953359 + 0.301840i \(0.0976007\pi\)
\(318\) 6.88470e7 2.12365e7i 2.14094 0.660392i
\(319\) −1.39756e7 + 2.04984e7i −0.430524 + 0.631462i
\(320\) −285806. 1.89620e6i −0.00872211 0.0578674i
\(321\) −8.26887e6 + 3.24529e6i −0.249995 + 0.0981157i
\(322\) 1.15445e8 5.55953e7i 3.45786 1.66522i
\(323\) −2.43435e7 5.05499e7i −0.722398 1.50007i
\(324\) 3.25585e7 + 8.29577e7i 0.957259 + 2.43906i
\(325\) 2.11354e7 3.18565e6i 0.615688 0.0928001i
\(326\) 2.15747e7 + 1.47094e7i 0.622719 + 0.424563i
\(327\) −4.53316e6 1.46961e7i −0.129646 0.420301i
\(328\) 6.60702e7 + 1.50801e7i 1.87234 + 0.427349i
\(329\) 4.96558e7 + 1.94885e7i 1.39438 + 0.547256i
\(330\) 5.34290e7 4.00395e6i 1.48674 0.111416i
\(331\) −5.65987e6 6.09988e6i −0.156071 0.168204i 0.650176 0.759784i \(-0.274695\pi\)
−0.806247 + 0.591579i \(0.798505\pi\)
\(332\) 2.75965e7 1.88149e7i 0.754118 0.514149i
\(333\) 2.26456e7 + 1.80593e7i 0.613269 + 0.489066i
\(334\) −3.58387e7 + 3.86250e7i −0.961863 + 1.03664i
\(335\) −6.13422e6 + 4.06979e7i −0.163164 + 1.08252i
\(336\) 2.95692e7 + 1.29551e8i 0.779511 + 3.41526i
\(337\) 2.03840e7 + 3.53061e7i 0.532597 + 0.922486i 0.999276 + 0.0380584i \(0.0121173\pi\)
−0.466678 + 0.884427i \(0.654549\pi\)
\(338\) −2.88593e6 1.66619e6i −0.0747370 0.0431494i
\(339\) −5.43616e7 1.67683e7i −1.39538 0.430419i
\(340\) 4.75396e7 3.79116e7i 1.20954 0.964573i
\(341\) −410940. + 5.48361e6i −0.0103637 + 0.138294i
\(342\) −7.69693e7 3.70665e7i −1.92415 0.926623i
\(343\) 2.84037e6i 0.0703871i
\(344\) 9.26747e7 + 8.82161e6i 2.27660 + 0.216707i
\(345\) −5.04946e7 −1.22967
\(346\) −1.50105e6 + 3.11697e6i −0.0362383 + 0.0752496i
\(347\) −4.22125e7 3.16339e6i −1.01031 0.0757119i −0.440720 0.897644i \(-0.645277\pi\)
−0.569585 + 0.821932i \(0.692896\pi\)
\(348\) 5.99049e7 + 7.51184e7i 1.42143 + 1.78241i
\(349\) 8.69957e6 2.82033e7i 0.204655 0.663474i −0.793814 0.608160i \(-0.791908\pi\)
0.998469 0.0553139i \(-0.0176159\pi\)
\(350\) −3.45133e7 + 5.97788e7i −0.804975 + 1.39426i
\(351\) −9.54160e6 + 5.50884e6i −0.220648 + 0.127391i
\(352\) −4.71710e7 + 1.07665e7i −1.08155 + 0.246857i
\(353\) 6.73795e6 + 1.01558e6i 0.153181 + 0.0230883i 0.225185 0.974316i \(-0.427701\pi\)
−0.0720042 + 0.997404i \(0.522940\pi\)
\(354\) −9.65628e7 8.95972e7i −2.17671 2.01969i
\(355\) −1.72491e7 + 2.16297e7i −0.385550 + 0.483464i
\(356\) −7.36388e7 1.08008e8i −1.63214 2.39391i
\(357\) −7.10324e7 + 6.59085e7i −1.56118 + 1.44856i
\(358\) −61391.3 819210.i −0.00133800 0.0178544i
\(359\) 2.32072e6 5.91309e6i 0.0501579 0.127800i −0.903599 0.428379i \(-0.859085\pi\)
0.953757 + 0.300579i \(0.0971800\pi\)
\(360\) 1.15083e7 5.04212e7i 0.246663 1.08070i
\(361\) −5.17707e7 + 1.59691e7i −1.10043 + 0.339438i
\(362\) 2.60098e7 3.81494e7i 0.548292 0.804197i
\(363\) −397889. 2.63982e6i −0.00831845 0.0551893i
\(364\) −1.38582e8 + 5.43896e7i −2.87345 + 1.12775i
\(365\) 3.06687e7 1.47693e7i 0.630691 0.303725i
\(366\) 6.80440e7 + 1.41295e8i 1.38786 + 2.88193i
\(367\) 2.70639e7 + 6.89578e7i 0.547511 + 1.39504i 0.890193 + 0.455584i \(0.150569\pi\)
−0.342682 + 0.939452i \(0.611335\pi\)
\(368\) 1.39950e8 2.10940e7i 2.80820 0.423269i
\(369\) 2.80883e7 + 1.91503e7i 0.559044 + 0.381150i
\(370\) 1.58024e7 + 5.12300e7i 0.311973 + 1.01139i
\(371\) −6.41368e7 1.46388e7i −1.25599 0.286671i
\(372\) 1.98241e7 + 7.78037e6i 0.385091 + 0.151137i
\(373\) −1.89605e7 + 1.42090e6i −0.365363 + 0.0273801i −0.256147 0.966638i \(-0.582453\pi\)
−0.109216 + 0.994018i \(0.534834\pi\)
\(374\) −7.44852e7 8.02759e7i −1.42382 1.53451i
\(375\) 5.76990e7 3.93385e7i 1.09414 0.745975i
\(376\) 1.01963e8 + 8.13125e7i 1.91813 + 1.52966i
\(377\) −2.66331e7 + 2.87037e7i −0.497048 + 0.535690i
\(378\) 5.30307e6 3.51836e7i 0.0981866 0.651425i
\(379\) 4.54874e6 + 1.99293e7i 0.0835553 + 0.366080i 0.999369 0.0355242i \(-0.0113101\pi\)
−0.915814 + 0.401604i \(0.868453\pi\)
\(380\) −5.48509e7 9.50045e7i −0.999615 1.73138i
\(381\) −1.17174e8 6.76505e7i −2.11864 1.22320i
\(382\) −1.43921e8 4.43937e7i −2.58186 0.796399i
\(383\) 1.26030e7 1.00506e7i 0.224326 0.178894i −0.504878 0.863191i \(-0.668462\pi\)
0.729203 + 0.684297i \(0.239891\pi\)
\(384\) 5.18137e6 6.91406e7i 0.0915063 1.22107i
\(385\) −4.40774e7 2.12265e7i −0.772384 0.371961i
\(386\) 1.91197e7i 0.332444i
\(387\) 4.16584e7 + 2.11036e7i 0.718737 + 0.364102i
\(388\) 3.52840e7 0.604064
\(389\) 2.38607e7 4.95473e7i 0.405354 0.841727i −0.593953 0.804500i \(-0.702433\pi\)
0.999307 0.0372266i \(-0.0118523\pi\)
\(390\) 8.43269e7 + 6.31943e6i 1.42158 + 0.106533i
\(391\) 6.43476e7 + 8.06893e7i 1.07647 + 1.34985i
\(392\) 3.85567e7 1.24998e8i 0.640091 2.07512i
\(393\) 6.42730e6 1.11324e7i 0.105889 0.183405i
\(394\) 1.40957e8 8.13818e7i 2.30462 1.33057i
\(395\) −2.75616e7 + 6.29076e6i −0.447212 + 0.102073i
\(396\) −1.14389e8 1.72414e7i −1.84204 0.277643i
\(397\) −3.08140e6 2.85912e6i −0.0492466 0.0456942i 0.655166 0.755485i \(-0.272599\pi\)
−0.704412 + 0.709791i \(0.748789\pi\)
\(398\) 6.56024e7 8.22628e7i 1.04057 1.30483i
\(399\) 9.84800e7 + 1.44444e8i 1.55035 + 2.27394i
\(400\) −5.58903e7 + 5.18587e7i −0.873287 + 0.810292i
\(401\) 4.03039e6 + 5.37818e7i 0.0625048 + 0.834069i 0.937066 + 0.349153i \(0.113531\pi\)
−0.874561 + 0.484916i \(0.838850\pi\)
\(402\) 1.04876e8 2.67219e8i 1.61435 4.11329i
\(403\) −1.93127e6 + 8.46144e6i −0.0295072 + 0.129279i
\(404\) 1.20599e8 3.71998e7i 1.82894 0.564152i
\(405\) −2.60375e7 + 3.81900e7i −0.391953 + 0.574889i
\(406\) −1.88469e7 1.25041e8i −0.281619 1.86842i
\(407\) 6.23555e7 2.44727e7i 0.924894 0.362994i
\(408\) −2.13442e8 + 1.02788e8i −3.14268 + 1.51343i
\(409\) −4.73439e7 9.83106e7i −0.691981 1.43691i −0.889649 0.456644i \(-0.849051\pi\)
0.197668 0.980269i \(-0.436663\pi\)
\(410\) 2.29884e7 + 5.85735e7i 0.333547 + 0.849864i
\(411\) −1.10551e7 + 1.66629e6i −0.159235 + 0.0240008i
\(412\) −440755. 300502.i −0.00630240 0.00429690i
\(413\) 3.54527e7 + 1.14935e8i 0.503268 + 1.63156i
\(414\) 1.53205e8 + 3.49680e7i 2.15909 + 0.492799i
\(415\) 1.61256e7 + 6.32884e6i 0.225617 + 0.0885482i
\(416\) −7.61511e7 + 5.70674e6i −1.05778 + 0.0792698i
\(417\) 2.51921e7 + 2.71506e7i 0.347420 + 0.374430i
\(418\) −1.63240e8 + 1.11295e8i −2.23511 + 1.52387i
\(419\) −5.85165e7 4.66654e7i −0.795493 0.634384i 0.139030 0.990288i \(-0.455602\pi\)
−0.934523 + 0.355904i \(0.884173\pi\)
\(420\) −1.28868e8 + 1.38886e8i −1.73939 + 1.87461i
\(421\) −1.41471e7 + 9.38601e7i −0.189593 + 1.25787i 0.668243 + 0.743943i \(0.267047\pi\)
−0.857836 + 0.513924i \(0.828191\pi\)
\(422\) 3.50010e7 + 1.53349e8i 0.465739 + 2.04054i
\(423\) 3.27103e7 + 5.66559e7i 0.432179 + 0.748556i
\(424\) −1.39288e8 8.04180e7i −1.82733 1.05501i
\(425\) −5.31274e7 1.63876e7i −0.692073 0.213476i
\(426\) 1.50861e8 1.20308e8i 1.95141 1.55620i
\(427\) 1.07010e7 1.42795e8i 0.137449 1.83413i
\(428\) 3.19835e7 + 1.54024e7i 0.407938 + 0.196453i
\(429\) 1.05659e8i 1.33824i
\(430\) 4.17047e7 + 7.57098e7i 0.524542 + 0.952240i
\(431\) −1.88395e7 −0.235309 −0.117654 0.993055i \(-0.537537\pi\)
−0.117654 + 0.993055i \(0.537537\pi\)
\(432\) 1.70521e7 3.54090e7i 0.211507 0.439199i
\(433\) −7.97162e6 597390.i −0.0981936 0.00735859i 0.0255427 0.999674i \(-0.491869\pi\)
−0.123736 + 0.992315i \(0.539488\pi\)
\(434\) −1.74755e7 2.19135e7i −0.213776 0.268067i
\(435\) −1.46883e7 + 4.76184e7i −0.178445 + 0.578505i
\(436\) −3.07306e7 + 5.32269e7i −0.370776 + 0.642202i
\(437\) 1.61252e8 9.30987e7i 1.93224 1.11558i
\(438\) −2.31465e8 + 5.28304e7i −2.75463 + 0.628726i
\(439\) 1.80874e7 + 2.72623e6i 0.213787 + 0.0322232i 0.255063 0.966925i \(-0.417904\pi\)
−0.0412752 + 0.999148i \(0.513142\pi\)
\(440\) −8.76777e7 8.13531e7i −1.02927 0.955027i
\(441\) 4.09124e7 5.13025e7i 0.477022 0.598167i
\(442\) −9.73633e7 1.42806e8i −1.12753 1.65378i
\(443\) 9.77789e7 9.07255e7i 1.12469 1.04356i 0.126022 0.992028i \(-0.459779\pi\)
0.998671 0.0515349i \(-0.0164113\pi\)
\(444\) −1.93865e7 2.58695e8i −0.221488 2.95555i
\(445\) 2.47701e7 6.31132e7i 0.281092 0.716210i
\(446\) −5.41730e7 + 2.37347e8i −0.610630 + 2.67534i
\(447\) −1.41210e8 + 4.35575e7i −1.58104 + 0.487686i
\(448\) 6.87952e6 1.00904e7i 0.0765110 0.112221i
\(449\) −1.83204e7 1.21548e8i −0.202394 1.34279i −0.827153 0.561977i \(-0.810041\pi\)
0.624759 0.780818i \(-0.285197\pi\)
\(450\) −7.88030e7 + 3.09279e7i −0.864779 + 0.339401i
\(451\) 7.08343e7 3.41120e7i 0.772172 0.371858i
\(452\) 9.86423e7 + 2.04833e8i 1.06819 + 2.21812i
\(453\) 7.08553e7 + 1.80536e8i 0.762216 + 1.94209i
\(454\) −6.71689e7 + 1.01241e7i −0.717795 + 0.108190i
\(455\) −6.37971e7 4.34961e7i −0.677277 0.461760i
\(456\) 1.25980e8 + 4.08419e8i 1.32864 + 4.30736i
\(457\) −9.97835e6 2.27749e6i −0.104547 0.0238621i 0.169928 0.985457i \(-0.445647\pi\)
−0.274474 + 0.961594i \(0.588504\pi\)
\(458\) −1.86728e8 7.32853e7i −1.94363 0.762817i
\(459\) 2.85785e7 2.14166e6i 0.295530 0.0221469i
\(460\) 1.37254e8 + 1.47925e8i 1.41011 + 1.51973i
\(461\) −6.42401e7 + 4.37982e7i −0.655697 + 0.447047i −0.844924 0.534887i \(-0.820354\pi\)
0.189227 + 0.981933i \(0.439402\pi\)
\(462\) 2.66776e8 + 2.12747e8i 2.70533 + 2.15743i
\(463\) 1.14049e8 1.22916e8i 1.14908 1.23841i 0.182177 0.983266i \(-0.441686\pi\)
0.966902 0.255147i \(-0.0821239\pi\)
\(464\) 2.08174e7 1.38114e8i 0.208387 1.38256i
\(465\) 2.45782e6 + 1.07684e7i 0.0244451 + 0.107101i
\(466\) −1.17673e8 2.03815e8i −1.16283 2.01409i
\(467\) 8.02849e7 + 4.63525e7i 0.788285 + 0.455116i 0.839358 0.543578i \(-0.182931\pi\)
−0.0510736 + 0.998695i \(0.516264\pi\)
\(468\) −1.74468e8 5.38163e7i −1.70208 0.525021i
\(469\) −2.04929e8 + 1.63425e8i −1.98648 + 1.58417i
\(470\) −9.04900e6 + 1.20751e8i −0.0871579 + 1.16304i
\(471\) 1.69830e8 + 8.17856e7i 1.62536 + 0.782734i
\(472\) 2.94061e8i 2.79648i
\(473\) 9.04380e7 5.90320e7i 0.854609 0.557833i
\(474\) 1.97178e8 1.85150
\(475\) −4.35210e7 + 9.03723e7i −0.406086 + 0.843247i
\(476\) 3.86160e8 + 2.89387e7i 3.58052 + 0.268323i
\(477\) −5.03036e7 6.30787e7i −0.463494 0.581203i
\(478\) −7.80149e7 + 2.52918e8i −0.714322 + 2.31578i
\(479\) −4.88645e7 + 8.46358e7i −0.444618 + 0.770101i −0.998026 0.0628099i \(-0.979994\pi\)
0.553408 + 0.832910i \(0.313327\pi\)
\(480\) −8.41648e7 + 4.85926e7i −0.761039 + 0.439386i
\(481\) 1.03073e8 2.35258e7i 0.926213 0.211402i
\(482\) 1.20319e8 + 1.81352e7i 1.07447 + 0.161950i
\(483\) −2.35733e8 2.18728e8i −2.09208 1.94117i
\(484\) −6.65186e6 + 8.34117e6i −0.0586688 + 0.0735683i
\(485\) 1.03089e7 + 1.51203e7i 0.0903621 + 0.132537i
\(486\) 1.96621e8 1.82437e8i 1.71285 1.58930i
\(487\) −3.08232e6 4.11307e7i −0.0266865 0.356106i −0.994522 0.104524i \(-0.966668\pi\)
0.967836 0.251582i \(-0.0809509\pi\)
\(488\) 1.27902e8 3.25889e8i 1.10057 2.80421i
\(489\) 1.45825e7 6.38899e7i 0.124711 0.546394i
\(490\) 1.16059e8 3.57995e7i 0.986486 0.304291i
\(491\) −7.87386e7 + 1.15488e8i −0.665186 + 0.975649i 0.334264 + 0.942480i \(0.391512\pi\)
−0.999450 + 0.0331693i \(0.989440\pi\)
\(492\) −4.53798e7 3.01075e8i −0.381037 2.52802i
\(493\) 9.48112e7 3.72107e7i 0.791259 0.310546i
\(494\) −2.80945e8 + 1.35296e8i −2.33045 + 1.12229i
\(495\) −2.60324e7 5.40569e7i −0.214634 0.445693i
\(496\) −1.13105e7 2.88188e7i −0.0926911 0.236173i
\(497\) −1.74220e8 + 2.62595e7i −1.41915 + 0.213903i
\(498\) −9.98294e7 6.80625e7i −0.808296 0.551087i
\(499\) 166849. + 540913.i 0.00134284 + 0.00435337i 0.956242 0.292578i \(-0.0945130\pi\)
−0.954899 + 0.296931i \(0.904037\pi\)
\(500\) −2.72080e8 6.21005e7i −2.17664 0.496804i
\(501\) 1.23096e8 + 4.83117e7i 0.978885 + 0.384184i
\(502\) 1.62989e8 1.22143e7i 1.28839 0.0965513i
\(503\) −1.46972e8 1.58398e8i −1.15486 1.24465i −0.964832 0.262868i \(-0.915331\pi\)
−0.190031 0.981778i \(-0.560859\pi\)
\(504\) 2.72137e8 1.85540e8i 2.12567 1.44926i
\(505\) 5.11764e7 + 4.08118e7i 0.397370 + 0.316892i
\(506\) 2.47191e8 2.66409e8i 1.90801 2.05635i
\(507\) −1.24648e6 + 8.26985e6i −0.00956448 + 0.0634562i
\(508\) 1.20319e8 + 5.27150e8i 0.917786 + 4.02108i
\(509\) 1.94441e7 + 3.36782e7i 0.147447 + 0.255385i 0.930283 0.366842i \(-0.119561\pi\)
−0.782836 + 0.622228i \(0.786228\pi\)
\(510\) −1.90493e8 1.09981e8i −1.43604 0.829101i
\(511\) 2.07152e8 + 6.38980e7i 1.55248 + 0.478878i
\(512\) −2.35078e8 + 1.87469e8i −1.75147 + 1.39675i
\(513\) 3.86387e6 5.15598e7i 0.0286200 0.381908i
\(514\) −1.97254e8 9.49926e7i −1.45257 0.699521i
\(515\) 276675.i 0.00202557i
\(516\) −1.15223e8 4.02069e8i −0.838670 2.92652i
\(517\) 1.51296e8 1.09486
\(518\) −1.48141e8 + 3.07617e8i −1.06582 + 2.21321i
\(519\) 8.65819e6 + 648842.i 0.0619334 + 0.00464127i
\(520\) −1.17699e8 1.47590e8i −0.837073 1.04966i
\(521\) 1.20946e7 3.92097e7i 0.0855220 0.277256i −0.902703 0.430265i \(-0.858420\pi\)
0.988225 + 0.153009i \(0.0488964\pi\)
\(522\) 7.75419e7 1.34306e8i 0.545161 0.944246i
\(523\) −6.75483e7 + 3.89990e7i −0.472182 + 0.272614i −0.717153 0.696916i \(-0.754555\pi\)
0.244971 + 0.969530i \(0.421222\pi\)
\(524\) −5.00832e7 + 1.14312e7i −0.348095 + 0.0794505i
\(525\) 1.71301e8 + 2.58194e7i 1.18381 + 0.178430i
\(526\) 1.18595e8 + 1.10040e8i 0.814912 + 0.756128i
\(527\) 1.40756e7 1.76502e7i 0.0961690 0.120592i
\(528\) 2.12312e8 + 3.11404e8i 1.44235 + 2.11555i
\(529\) −1.42555e8 + 1.32272e8i −0.962978 + 0.893513i
\(530\) −1.11598e7 1.48917e8i −0.0749597 1.00027i
\(531\) −5.38917e7 + 1.37314e8i −0.359947 + 0.917130i
\(532\) 1.55462e8 6.81124e8i 1.03250 4.52368i
\(533\) 1.18573e8 3.65750e7i 0.783078 0.241548i
\(534\) −2.66386e8 + 3.90717e8i −1.74940 + 2.56589i
\(535\) 2.74412e6 + 1.82061e7i 0.0179202 + 0.118893i
\(536\) −5.96527e8 + 2.34119e8i −3.87378 + 1.52035i
\(537\) −1.85755e6 + 894551.i −0.0119955 + 0.00577673i
\(538\) −3.42309e7 7.10812e7i −0.219822 0.456466i
\(539\) −5.54418e7 1.41263e8i −0.354055 0.902118i
\(540\) 5.54091e7 8.35158e6i 0.351884 0.0530380i
\(541\) −1.90552e8 1.29916e8i −1.20343 0.820485i −0.215670 0.976466i \(-0.569194\pi\)
−0.987760 + 0.155981i \(0.950146\pi\)
\(542\) 6.22965e7 + 2.01960e8i 0.391260 + 1.26843i
\(543\) −1.12973e8 2.57854e7i −0.705628 0.161055i
\(544\) 1.84905e8 + 7.25699e7i 1.14856 + 0.450775i
\(545\) −3.17879e7 + 2.38218e6i −0.196369 + 0.0147158i
\(546\) 3.66304e8 + 3.94782e8i 2.25042 + 2.42538i
\(547\) −1.30625e8 + 8.90586e7i −0.798113 + 0.544144i −0.892317 0.451409i \(-0.850922\pi\)
0.0942044 + 0.995553i \(0.469969\pi\)
\(548\) 3.49313e7 + 2.78568e7i 0.212263 + 0.169274i
\(549\) 1.19450e8 1.28736e8i 0.721884 0.778006i
\(550\) −2.91793e7 + 1.93592e8i −0.175383 + 1.16359i
\(551\) −4.08894e7 1.79148e8i −0.244431 1.07092i
\(552\) −3.93101e8 6.80871e8i −2.33715 4.04806i
\(553\) −1.55920e8 9.00207e7i −0.921993 0.532313i
\(554\) 1.35624e8 + 4.18344e7i 0.797640 + 0.246039i
\(555\) 1.05195e8 8.38901e7i 0.615340 0.490718i
\(556\) 1.10612e7 1.47601e8i 0.0643541 0.858746i
\(557\) 5.61351e7 + 2.70333e7i 0.324840 + 0.156435i 0.589195 0.807991i \(-0.299445\pi\)
−0.264355 + 0.964425i \(0.585159\pi\)
\(558\) 3.43744e7i 0.197848i
\(559\) 1.55030e8 7.08555e7i 0.887526 0.405638i
\(560\) 2.75428e8 1.56835
\(561\) −1.19246e8 + 2.47617e8i −0.675392 + 1.40247i
\(562\) 1.90358e8 + 1.42653e7i 1.07241 + 0.0803661i
\(563\) 1.71224e8 + 2.14708e8i 0.959488 + 1.20316i 0.979106 + 0.203352i \(0.0651836\pi\)
−0.0196179 + 0.999808i \(0.506245\pi\)
\(564\) 1.72707e8 5.59902e8i 0.962658 3.12086i
\(565\) −5.89573e7 + 1.02117e8i −0.326883 + 0.566178i
\(566\) 3.14630e8 1.81652e8i 1.73520 1.00182i
\(567\) −2.86983e8 + 6.55021e7i −1.57437 + 0.359340i
\(568\) −4.25939e8 6.42000e7i −2.32436 0.350340i
\(569\) −5.10729e7 4.73887e7i −0.277239 0.257240i 0.529282 0.848446i \(-0.322461\pi\)
−0.806520 + 0.591206i \(0.798652\pi\)
\(570\) −2.47428e8 + 3.10264e8i −1.33605 + 1.67536i
\(571\) −3.92351e7 5.75473e7i −0.210749 0.309113i 0.706280 0.707933i \(-0.250372\pi\)
−0.917029 + 0.398820i \(0.869420\pi\)
\(572\) −3.09529e8 + 2.87201e8i −1.65392 + 1.53461i
\(573\) 2.82472e7 + 3.76933e8i 0.150145 + 2.00355i
\(574\) −1.46403e8 + 3.73028e8i −0.774129 + 1.97245i
\(575\) 4.10571e7 1.79883e8i 0.215966 0.946209i
\(576\) 1.43120e7 4.41468e6i 0.0748918 0.0231011i
\(577\) 1.64614e8 2.41445e8i 0.856919 1.25687i −0.107955 0.994156i \(-0.534430\pi\)
0.964874 0.262714i \(-0.0846174\pi\)
\(578\) 1.49983e7 + 9.95075e7i 0.0776712 + 0.515314i
\(579\) −4.46676e7 + 1.75307e7i −0.230121 + 0.0903159i
\(580\) 1.79424e8 8.64063e7i 0.919597 0.442855i
\(581\) 4.78673e7 + 9.93976e7i 0.244068 + 0.506813i
\(582\) −4.66318e7 1.18816e8i −0.236545 0.602706i
\(583\) −1.84504e8 + 2.78095e7i −0.931108 + 0.140342i
\(584\) 4.37905e8 + 2.98559e8i 2.19858 + 1.49896i
\(585\) −2.79121e7 9.04887e7i −0.139420 0.451988i
\(586\) −3.83230e7 8.74698e6i −0.190444 0.0434676i
\(587\) 2.50887e8 + 9.84658e7i 1.24041 + 0.486823i 0.892645 0.450760i \(-0.148847\pi\)
0.347760 + 0.937584i \(0.386942\pi\)
\(588\) −5.86060e8 + 4.39191e7i −2.88277 + 0.216034i
\(589\) −2.77030e7 2.98568e7i −0.135576 0.146116i
\(590\) −2.25590e8 + 1.53805e8i −1.09841 + 0.748882i
\(591\) −3.19368e8 2.54687e8i −1.54714 1.23380i
\(592\) −2.56511e8 + 2.76453e8i −1.23635 + 1.33247i
\(593\) 1.66477e7 1.10451e8i 0.0798346 0.529668i −0.912789 0.408431i \(-0.866076\pi\)
0.992624 0.121237i \(-0.0386860\pi\)
\(594\) −2.24563e7 9.83874e7i −0.107147 0.469440i
\(595\) 1.00422e8 + 1.73937e8i 0.476738 + 0.825735i
\(596\) 5.11438e8 + 2.95279e8i 2.41576 + 1.39474i
\(597\) −2.52333e8 7.78346e7i −1.18591 0.365805i
\(598\) 4.48452e8 3.57629e8i 2.09707 1.67236i
\(599\) −1.00213e6 + 1.33725e7i −0.00466276 + 0.0622202i −0.999050 0.0435836i \(-0.986123\pi\)
0.994387 + 0.105804i \(0.0337415\pi\)
\(600\) 3.81589e8 + 1.83764e8i 1.76662 + 0.850757i
\(601\) 3.17173e8i 1.46107i −0.682873 0.730537i \(-0.739270\pi\)
0.682873 0.730537i \(-0.260730\pi\)
\(602\) −1.33255e8 + 5.34102e8i −0.610795 + 2.44813i
\(603\) −3.21459e8 −1.46613
\(604\) 3.36286e8 6.98304e8i 1.52615 3.16909i
\(605\) −5.51792e6 413511.i −0.0249178 0.00186733i
\(606\) −2.84651e8 3.56941e8i −1.27907 1.60391i
\(607\) −7.47249e7 + 2.42252e8i −0.334118 + 1.08318i 0.620214 + 0.784433i \(0.287046\pi\)
−0.954331 + 0.298750i \(0.903430\pi\)
\(608\) 1.79184e8 3.10356e8i 0.797238 1.38086i
\(609\) −2.74841e8 + 1.58680e8i −1.21683 + 0.702538i
\(610\) 3.16904e8 7.23313e7i 1.39617 0.318667i
\(611\) 2.36124e8 + 3.55899e7i 1.03518 + 0.156028i
\(612\) 3.48139e8 + 3.23026e8i 1.51879 + 1.40923i
\(613\) 1.86434e6 2.33781e6i 0.00809365 0.0101491i −0.777768 0.628551i \(-0.783648\pi\)
0.785862 + 0.618402i \(0.212220\pi\)
\(614\) 1.84677e8 + 2.70872e8i 0.797827 + 1.17020i
\(615\) 1.15762e8 1.07411e8i 0.497668 0.461769i
\(616\) −5.69234e7 7.59590e8i −0.243528 3.24965i
\(617\) 6.64665e7 1.69354e8i 0.282974 0.721007i −0.716745 0.697335i \(-0.754369\pi\)
0.999720 0.0236720i \(-0.00753573\pi\)
\(618\) −429406. + 1.88135e6i −0.00181929 + 0.00797084i
\(619\) 3.18636e8 9.82862e7i 1.34345 0.414401i 0.462088 0.886834i \(-0.347100\pi\)
0.881366 + 0.472433i \(0.156624\pi\)
\(620\) 2.48654e7 3.64709e7i 0.104333 0.153028i
\(621\) 1.41752e7 + 9.40462e7i 0.0591907 + 0.392705i
\(622\) 1.78056e8 6.98820e7i 0.739923 0.290398i
\(623\) 3.89027e8 1.87346e8i 1.60885 0.774781i
\(624\) 2.58096e8 + 5.35942e8i 1.06225 + 2.20579i
\(625\) 4.03088e6 + 1.02705e7i 0.0165105 + 0.0420681i
\(626\) −1.92794e8 + 2.90590e7i −0.785905 + 0.118456i
\(627\) 4.09683e8 + 2.79317e8i 1.66205 + 1.13317i
\(628\) −2.22037e8 7.19827e8i −0.896493 2.90636i
\(629\) −2.68109e8 6.11942e7i −1.07736 0.245900i
\(630\) 2.84675e8 + 1.11727e8i 1.13848 + 0.446822i
\(631\) −7.77555e7 + 5.82697e6i −0.309488 + 0.0231929i −0.228569 0.973528i \(-0.573405\pi\)
−0.0809190 + 0.996721i \(0.525785\pi\)
\(632\) −2.99392e8 3.22668e8i −1.18601 1.27822i
\(633\) 3.26164e8 2.22375e8i 1.28595 0.876746i
\(634\) −5.91407e7 4.71631e7i −0.232070 0.185070i
\(635\) −1.90747e8 + 2.05577e8i −0.744968 + 0.802884i
\(636\) −1.07699e8 + 7.14537e8i −0.418640 + 2.77750i
\(637\) −5.32966e7 2.33507e8i −0.206196 0.903405i
\(638\) −1.79329e8 3.10607e8i −0.690539 1.19605i
\(639\) −1.87130e8 1.08039e8i −0.717200 0.414076i
\(640\) −1.37326e8 4.23594e7i −0.523856 0.161588i
\(641\) −5.74481e7 + 4.58133e7i −0.218123 + 0.173947i −0.726455 0.687214i \(-0.758834\pi\)
0.508332 + 0.861161i \(0.330262\pi\)
\(642\) 9.59659e6 1.28058e8i 0.0362670 0.483950i
\(643\) −4.74148e8 2.28338e8i −1.78353 0.858903i −0.953623 0.301004i \(-0.902678\pi\)
−0.829908 0.557900i \(-0.811607\pi\)
\(644\) 1.28513e9i 4.81159i
\(645\) 1.38635e8 1.66849e8i 0.516646 0.621790i
\(646\) 8.11104e8 3.00870
\(647\) 3.06883e7 6.37250e7i 0.113308 0.235286i −0.836601 0.547812i \(-0.815461\pi\)
0.949909 + 0.312526i \(0.101175\pi\)
\(648\) −7.17657e8 5.37809e7i −2.63750 0.197653i
\(649\) 2.12700e8 + 2.66717e8i 0.778095 + 0.975701i
\(650\) −9.10787e7 + 2.95270e8i −0.331647 + 1.07517i
\(651\) −3.51714e7 + 6.09187e7i −0.127481 + 0.220804i
\(652\) −2.26804e8 + 1.30946e8i −0.818293 + 0.472442i
\(653\) 2.00769e8 4.58242e7i 0.721036 0.164572i 0.153770 0.988107i \(-0.450858\pi\)
0.567265 + 0.823535i \(0.308001\pi\)
\(654\) 2.19851e8 + 3.31371e7i 0.785949 + 0.118463i
\(655\) −1.95313e7 1.81224e7i −0.0695037 0.0644900i
\(656\) −2.75972e8 + 3.46058e8i −0.977583 + 1.22585i
\(657\) 1.49767e8 + 2.19668e8i 0.528105 + 0.774588i
\(658\) −5.65302e8 + 5.24523e8i −1.98428 + 1.84114i
\(659\) −3.19412e7 4.26226e8i −0.111608 1.48930i −0.719060 0.694948i \(-0.755427\pi\)
0.607452 0.794357i \(-0.292192\pi\)
\(660\) −1.96324e8 + 5.00225e8i −0.682875 + 1.73994i
\(661\) −7.01655e7 + 3.07415e8i −0.242951 + 1.06444i 0.695364 + 0.718658i \(0.255243\pi\)
−0.938315 + 0.345782i \(0.887614\pi\)
\(662\) 1.14952e8 3.54580e7i 0.396226 0.122219i
\(663\) −2.44352e8 + 3.58398e8i −0.838446 + 1.22977i
\(664\) 4.01998e7 + 2.66708e8i 0.137316 + 0.911030i
\(665\) 3.37305e8 1.32382e8i 1.14698 0.450158i
\(666\) −3.77265e8 + 1.81681e8i −1.27710 + 0.615017i
\(667\) 1.46658e8 + 3.04538e8i 0.494229 + 1.02628i
\(668\) −1.93069e8 4.91933e8i −0.647715 1.65035i
\(669\) 6.04163e8 9.10629e7i 2.01779 0.304133i
\(670\) −4.91611e8 3.35175e8i −1.63455 1.11441i
\(671\) −1.19713e8 3.88099e8i −0.396253 1.28462i
\(672\) −6.03411e8 1.37725e8i −1.98841 0.453841i
\(673\) 3.69967e8 + 1.45201e8i 1.21372 + 0.476349i 0.883891 0.467693i \(-0.154915\pi\)
0.329826 + 0.944042i \(0.393010\pi\)
\(674\) −5.87718e8 + 4.40433e7i −1.91950 + 0.143847i
\(675\) −3.48490e7 3.75583e7i −0.113313 0.122122i
\(676\) 2.76148e7 1.88275e7i 0.0893927 0.0609469i
\(677\) 1.20508e8 + 9.61017e7i 0.388373 + 0.309717i 0.798139 0.602474i \(-0.205818\pi\)
−0.409766 + 0.912191i \(0.634390\pi\)
\(678\) 5.59389e8 6.02878e8i 1.79484 1.93437i
\(679\) −1.73702e7 + 1.15244e8i −0.0554877 + 0.368137i
\(680\) 1.09265e8 + 4.78721e8i 0.347499 + 1.52249i
\(681\) 8.52387e7 + 1.47638e8i 0.269895 + 0.467472i
\(682\) −6.88461e7 3.97483e7i −0.217033 0.125304i
\(683\) 3.41279e8 + 1.05271e8i 1.07114 + 0.330404i 0.779680 0.626178i \(-0.215382\pi\)
0.291463 + 0.956582i \(0.405858\pi\)
\(684\) 6.69888e8 5.34218e8i 2.09331 1.66936i
\(685\) −1.73171e6 + 2.31081e7i −0.00538770 + 0.0718939i
\(686\) −3.69957e7 1.78162e7i −0.114598 0.0551877i
\(687\) 5.03430e8i 1.55263i
\(688\) −3.14537e8 + 5.20349e8i −0.965842 + 1.59782i
\(689\) −2.94492e8 −0.900358
\(690\) 3.16726e8 6.57689e8i 0.964133 2.00204i
\(691\) −4.41846e8 3.31118e7i −1.33917 0.100357i −0.614209 0.789144i \(-0.710525\pi\)
−0.724964 + 0.688787i \(0.758144\pi\)
\(692\) −2.16338e7 2.71280e7i −0.0652853 0.0818652i
\(693\) 1.12627e8 3.65128e8i 0.338410 1.09710i
\(694\) 3.05980e8 5.29973e8i 0.915408 1.58553i
\(695\) 6.64835e7 3.83842e7i 0.198043 0.114340i
\(696\) −7.56437e8 + 1.72652e8i −2.24360 + 0.512086i
\(697\) −3.19162e8 4.81059e7i −0.942567 0.142069i
\(698\) 3.12779e8 + 2.90216e8i 0.919752 + 0.853405i
\(699\) −3.68260e8 + 4.61784e8i −1.07826 + 1.35210i
\(700\) −3.89990e8 5.72010e8i −1.13700 1.66767i
\(701\) 4.14178e8 3.84301e8i 1.20236 1.11562i 0.211973 0.977275i \(-0.432011\pi\)
0.990384 0.138349i \(-0.0441795\pi\)
\(702\) −1.19029e7 1.58833e8i −0.0344065 0.459123i
\(703\) −1.81263e8 + 4.61850e8i −0.521726 + 1.32934i
\(704\) 7.70766e6 3.37695e7i 0.0220905 0.0967846i
\(705\) 2.90395e8 8.95750e7i 0.828747 0.255635i
\(706\) −5.54916e7 + 8.13912e7i −0.157693 + 0.231294i
\(707\) 6.21307e7 + 4.12210e8i 0.175812 + 1.16644i
\(708\) 1.22984e9 4.82675e8i 3.46536 1.36005i
\(709\) −1.79203e8 + 8.62996e7i −0.502813 + 0.242142i −0.668056 0.744111i \(-0.732873\pi\)
0.165243 + 0.986253i \(0.447159\pi\)
\(710\) −1.73531e8 3.60340e8i −0.484843 1.00679i
\(711\) −8.06689e7 2.05541e8i −0.224439 0.571860i
\(712\) 1.04386e9 1.57336e8i 2.89202 0.435901i
\(713\) 6.19022e7 + 4.22042e7i 0.170780 + 0.116436i
\(714\) −4.12904e8 1.33860e9i −1.13437 3.67754i
\(715\) −2.13509e8 4.87321e7i −0.584115 0.133321i
\(716\) 7.66979e6 + 3.01017e6i 0.0208951 + 0.00820072i
\(717\) 6.62401e8 4.96401e7i 1.79706 0.134671i
\(718\) 6.24610e7 + 6.73170e7i 0.168747 + 0.181866i
\(719\) 4.73364e8 3.22734e8i 1.27353 0.868277i 0.277802 0.960638i \(-0.410394\pi\)
0.995726 + 0.0923617i \(0.0294416\pi\)
\(720\) 2.64093e8 + 2.10607e8i 0.707553 + 0.564255i
\(721\) 1.19848e6 1.29165e6i 0.00319759 0.00344619i
\(722\) 1.16734e8 7.74476e8i 0.310159 2.05777i
\(723\) −6.79524e7 2.97719e8i −0.179800 0.787755i
\(724\) 2.31544e8 + 4.01046e8i 0.610124 + 1.05677i
\(725\) −1.57694e8 9.10446e7i −0.413810 0.238913i
\(726\) 3.68793e7 + 1.13758e7i 0.0963769 + 0.0297283i
\(727\) −5.15362e8 + 4.10988e8i −1.34125 + 1.06961i −0.350121 + 0.936705i \(0.613859\pi\)
−0.991129 + 0.132906i \(0.957569\pi\)
\(728\) 8.98421e7 1.19886e9i 0.232855 3.10724i
\(729\) −2.02795e8 9.76607e7i −0.523448 0.252079i
\(730\) 4.92098e8i 1.26498i
\(731\) −4.43289e8 8.91275e6i −1.13484 0.0228170i
\(732\) −1.57289e9 −4.01019
\(733\) 3.39671e7 7.05335e7i 0.0862476 0.179095i −0.853384 0.521283i \(-0.825454\pi\)
0.939632 + 0.342188i \(0.111168\pi\)
\(734\) −1.06793e9 8.00303e7i −2.70056 0.202379i
\(735\) −1.90049e8 2.38314e8i −0.478634 0.600188i
\(736\) −1.94304e8 + 6.29919e8i −0.487359 + 1.57998i
\(737\) −3.71714e8 + 6.43828e8i −0.928554 + 1.60830i
\(738\) −4.25615e8 + 2.45729e8i −1.05888 + 0.611346i
\(739\) −3.24511e7 + 7.40675e6i −0.0804074 + 0.0183525i −0.262535 0.964922i \(-0.584559\pi\)
0.182128 + 0.983275i \(0.441701\pi\)
\(740\) −5.31697e8 8.01404e7i −1.31211 0.197768i
\(741\) 5.73675e8 + 5.32293e8i 1.40998 + 1.30827i
\(742\) 5.92966e8 7.43556e8i 1.45150 1.82013i
\(743\) 2.47370e8 + 3.62826e8i 0.603089 + 0.884568i 0.999438 0.0335314i \(-0.0106754\pi\)
−0.396349 + 0.918100i \(0.629723\pi\)
\(744\) −1.26068e8 + 1.16974e8i −0.306115 + 0.284033i
\(745\) 2.28895e7 + 3.05439e8i 0.0553563 + 0.738679i
\(746\) 1.00423e8 2.55872e8i 0.241888 0.616321i
\(747\) −3.01073e7 + 1.31909e8i −0.0722288 + 0.316455i
\(748\) 1.04953e9 3.23738e8i 2.50779 0.773551i
\(749\) −6.60525e7 + 9.68813e7i −0.157197 + 0.230566i
\(750\) 1.50466e8 + 9.98277e8i 0.356660 + 2.36629i
\(751\) −2.91984e8 + 1.14595e8i −0.689348 + 0.270549i −0.684048 0.729437i \(-0.739782\pi\)
−0.00529978 + 0.999986i \(0.501687\pi\)
\(752\) −7.67433e8 + 3.69576e8i −1.80463 + 0.869062i