Properties

Label 43.7.h.a.29.7
Level 43
Weight 7
Character 43.29
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 29.7
Character \(\chi\) \(=\) 43.29
Dual form 43.7.h.a.3.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.62546 - 5.45182i) q^{2} +(-13.6379 + 1.02202i) q^{3} +(17.0740 - 21.4102i) q^{4} +(29.1602 + 94.5350i) q^{5} +(41.3776 + 71.6680i) q^{6} +(-270.866 - 156.384i) q^{7} +(-539.110 - 123.048i) q^{8} +(-535.910 + 80.7755i) q^{9} +O(q^{10})\) \(q+(-2.62546 - 5.45182i) q^{2} +(-13.6379 + 1.02202i) q^{3} +(17.0740 - 21.4102i) q^{4} +(29.1602 + 94.5350i) q^{5} +(41.3776 + 71.6680i) q^{6} +(-270.866 - 156.384i) q^{7} +(-539.110 - 123.048i) q^{8} +(-535.910 + 80.7755i) q^{9} +(438.829 - 407.174i) q^{10} +(1164.50 + 1460.24i) q^{11} +(-210.972 + 309.439i) q^{12} +(2316.92 + 2149.78i) q^{13} +(-141.433 + 1887.29i) q^{14} +(-494.300 - 1259.46i) q^{15} +(354.580 + 1553.52i) q^{16} +(308.693 + 95.2193i) q^{17} +(1847.38 + 2709.61i) q^{18} +(-472.485 + 3134.73i) q^{19} +(2521.89 + 989.769i) q^{20} +(3853.86 + 1855.92i) q^{21} +(4903.62 - 10182.5i) q^{22} +(-8278.49 + 21093.2i) q^{23} +(7478.08 + 1127.14i) q^{24} +(4823.43 - 3288.56i) q^{25} +(5637.27 - 18275.6i) q^{26} +(16946.1 - 3867.83i) q^{27} +(-7972.98 + 3129.17i) q^{28} +(-32028.0 - 2400.17i) q^{29} +(-5568.56 + 6001.48i) q^{30} +(9173.44 + 6254.35i) q^{31} +(-20130.7 + 16053.7i) q^{32} +(-17373.8 - 18724.5i) q^{33} +(-291.343 - 1932.93i) q^{34} +(6885.30 - 30166.5i) q^{35} +(-7420.73 + 12853.1i) q^{36} +(-51438.9 + 29698.2i) q^{37} +(18330.5 - 5654.20i) q^{38} +(-33794.9 - 26950.6i) q^{39} +(-4088.17 - 54552.9i) q^{40} +(62695.9 - 30192.8i) q^{41} -25883.2i q^{42} +(-60173.2 - 51966.8i) q^{43} +51146.7 q^{44} +(-23263.4 - 48306.8i) q^{45} +(136731. - 10246.6i) q^{46} +(-78287.3 + 98169.1i) q^{47} +(-6423.44 - 20824.3i) q^{48} +(-9912.37 - 17168.7i) q^{49} +(-30592.4 - 17662.5i) q^{50} +(-4307.24 - 983.099i) q^{51} +(85586.3 - 12900.1i) q^{52} +(61092.2 - 56685.2i) q^{53} +(-65577.9 - 82232.1i) q^{54} +(-104087. + 152667. i) q^{55} +(126784. + 117638. i) q^{56} +(3239.94 - 43234.0i) q^{57} +(71003.0 + 180913. i) q^{58} +(63644.1 + 278843. i) q^{59} +(-35404.8 - 10920.9i) q^{60} +(-123548. - 181211. i) q^{61} +(10013.1 - 66432.5i) q^{62} +(157792. + 61928.7i) q^{63} +(232257. + 111849. i) q^{64} +(-135668. + 281718. i) q^{65} +(-56468.3 + 143879. i) q^{66} +(-584576. - 88110.7i) q^{67} +(7309.30 - 4983.40i) q^{68} +(91343.4 - 296128. i) q^{69} +(-182539. + 41663.4i) q^{70} +(491356. - 192843. i) q^{71} +(298854. + 22396.0i) q^{72} +(-153978. + 165948. i) q^{73} +(296960. + 202464. i) q^{74} +(-62420.4 + 49778.6i) q^{75} +(59047.9 + 63638.5i) q^{76} +(-87065.1 - 577639. i) q^{77} +(-58202.5 + 255002. i) q^{78} +(-327604. + 567426. i) q^{79} +(-136522. + 78821.0i) q^{80} +(150383. - 46387.1i) q^{81} +(-329211. - 262537. i) q^{82} +(-13823.7 - 184464. i) q^{83} +(105537. - 50823.7i) q^{84} +31958.9i q^{85} +(-125331. + 464490. i) q^{86} +439248. q^{87} +(-448115. - 930520. i) q^{88} +(1.03278e6 - 77396.4i) q^{89} +(-202283. + 253655. i) q^{90} +(-291380. - 944632. i) q^{91} +(310263. + 537390. i) q^{92} +(-131498. - 75920.6i) q^{93} +(740740. + 169069. i) q^{94} +(-310119. + 46743.0i) q^{95} +(258134. - 239513. i) q^{96} +(237965. + 298399. i) q^{97} +(-67576.3 + 99116.2i) q^{98} +(-742021. - 688495. 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.62546 5.45182i −0.328182 0.681478i 0.669960 0.742397i \(-0.266311\pi\)
−0.998143 + 0.0609193i \(0.980597\pi\)
\(3\) −13.6379 + 1.02202i −0.505107 + 0.0378525i −0.324847 0.945767i \(-0.605313\pi\)
−0.180260 + 0.983619i \(0.557694\pi\)
\(4\) 17.0740 21.4102i 0.266782 0.334534i
\(5\) 29.1602 + 94.5350i 0.233281 + 0.756280i 0.994211 + 0.107445i \(0.0342671\pi\)
−0.760930 + 0.648835i \(0.775257\pi\)
\(6\) 41.3776 + 71.6680i 0.191563 + 0.331796i
\(7\) −270.866 156.384i −0.789696 0.455931i 0.0501597 0.998741i \(-0.484027\pi\)
−0.839855 + 0.542810i \(0.817360\pi\)
\(8\) −539.110 123.048i −1.05295 0.240329i
\(9\) −535.910 + 80.7755i −0.735131 + 0.110803i
\(10\) 438.829 407.174i 0.438829 0.407174i
\(11\) 1164.50 + 1460.24i 0.874908 + 1.09710i 0.994548 + 0.104283i \(0.0332548\pi\)
−0.119639 + 0.992817i \(0.538174\pi\)
\(12\) −210.972 + 309.439i −0.122090 + 0.179074i
\(13\) 2316.92 + 2149.78i 1.05458 + 0.978509i 0.999800 0.0199897i \(-0.00636334\pi\)
0.0547814 + 0.998498i \(0.482554\pi\)
\(14\) −141.433 + 1887.29i −0.0515426 + 0.687788i
\(15\) −494.300 1259.46i −0.146459 0.373172i
\(16\) 354.580 + 1553.52i 0.0865673 + 0.379276i
\(17\) 308.693 + 95.2193i 0.0628319 + 0.0193811i 0.326012 0.945366i \(-0.394295\pi\)
−0.263180 + 0.964747i \(0.584771\pi\)
\(18\) 1847.38 + 2709.61i 0.316767 + 0.464611i
\(19\) −472.485 + 3134.73i −0.0688853 + 0.457024i 0.927622 + 0.373520i \(0.121849\pi\)
−0.996507 + 0.0835043i \(0.973389\pi\)
\(20\) 2521.89 + 989.769i 0.315236 + 0.123721i
\(21\) 3853.86 + 1855.92i 0.416139 + 0.200402i
\(22\) 4903.62 10182.5i 0.460520 0.956279i
\(23\) −8278.49 + 21093.2i −0.680405 + 1.73364i −0.000870972 1.00000i \(0.500277\pi\)
−0.679534 + 0.733644i \(0.737818\pi\)
\(24\) 7478.08 + 1127.14i 0.540949 + 0.0815349i
\(25\) 4823.43 3288.56i 0.308700 0.210468i
\(26\) 5637.27 18275.6i 0.320737 1.03980i
\(27\) 16946.1 3867.83i 0.860949 0.196506i
\(28\) −7972.98 + 3129.17i −0.363201 + 0.142546i
\(29\) −32028.0 2400.17i −1.31322 0.0984120i −0.600365 0.799726i \(-0.704978\pi\)
−0.712852 + 0.701314i \(0.752597\pi\)
\(30\) −5568.56 + 6001.48i −0.206243 + 0.222277i
\(31\) 9173.44 + 6254.35i 0.307927 + 0.209941i 0.707417 0.706797i \(-0.249860\pi\)
−0.399490 + 0.916737i \(0.630813\pi\)
\(32\) −20130.7 + 16053.7i −0.614341 + 0.489921i
\(33\) −17373.8 18724.5i −0.483450 0.521035i
\(34\) −291.343 1932.93i −0.00741255 0.0491791i
\(35\) 6885.30 30166.5i 0.160590 0.703591i
\(36\) −7420.73 + 12853.1i −0.159052 + 0.275486i
\(37\) −51438.9 + 29698.2i −1.01551 + 0.586308i −0.912802 0.408403i \(-0.866086\pi\)
−0.102713 + 0.994711i \(0.532752\pi\)
\(38\) 18330.5 5654.20i 0.334059 0.103044i
\(39\) −33794.9 26950.6i −0.569715 0.454333i
\(40\) −4088.17 54552.9i −0.0638777 0.852389i
\(41\) 62695.9 30192.8i 0.909678 0.438078i 0.0803033 0.996770i \(-0.474411\pi\)
0.829375 + 0.558693i \(0.188697\pi\)
\(42\) 25883.2i 0.349358i
\(43\) −60173.2 51966.8i −0.756829 0.653612i
\(44\) 51146.7 0.600427
\(45\) −23263.4 48306.8i −0.255291 0.530116i
\(46\) 136731. 10246.6i 1.40474 0.105270i
\(47\) −78287.3 + 98169.1i −0.754045 + 0.945543i −0.999716 0.0238101i \(-0.992420\pi\)
0.245671 + 0.969353i \(0.420992\pi\)
\(48\) −6423.44 20824.3i −0.0580823 0.188298i
\(49\) −9912.37 17168.7i −0.0842538 0.145932i
\(50\) −30592.4 17662.5i −0.244739 0.141300i
\(51\) −4307.24 983.099i −0.0324705 0.00741117i
\(52\) 85586.3 12900.1i 0.608687 0.0917448i
\(53\) 61092.2 56685.2i 0.410353 0.380752i −0.447810 0.894129i \(-0.647796\pi\)
0.858164 + 0.513376i \(0.171606\pi\)
\(54\) −65577.9 82232.1i −0.416463 0.522228i
\(55\) −104087. + 152667.i −0.625615 + 0.917609i
\(56\) 126784. + 117638.i 0.721936 + 0.669859i
\(57\) 3239.94 43234.0i 0.0174949 0.233454i
\(58\) 71003.0 + 180913.i 0.363909 + 0.927225i
\(59\) 63644.1 + 278843.i 0.309886 + 1.35770i 0.854691 + 0.519137i \(0.173747\pi\)
−0.544805 + 0.838563i \(0.683396\pi\)
\(60\) −35404.8 10920.9i −0.163911 0.0505599i
\(61\) −123548. 181211.i −0.544309 0.798354i 0.451260 0.892393i \(-0.350975\pi\)
−0.995569 + 0.0940385i \(0.970022\pi\)
\(62\) 10013.1 66432.5i 0.0420139 0.278744i
\(63\) 157792. + 61928.7i 0.631048 + 0.247668i
\(64\) 232257. + 111849.i 0.885990 + 0.426670i
\(65\) −135668. + 281718.i −0.494012 + 1.02583i
\(66\) −56468.3 + 143879.i −0.196414 + 0.500455i
\(67\) −584576. 88110.7i −1.94364 0.292957i −0.944297 0.329095i \(-0.893256\pi\)
−0.999347 + 0.0361382i \(0.988494\pi\)
\(68\) 7309.30 4983.40i 0.0232460 0.0158489i
\(69\) 91343.4 296128.i 0.278054 0.901430i
\(70\) −182539. + 41663.4i −0.532185 + 0.121468i
\(71\) 491356. 192843.i 1.37285 0.538802i 0.439649 0.898170i \(-0.355103\pi\)
0.933196 + 0.359368i \(0.117008\pi\)
\(72\) 298854. + 22396.0i 0.800684 + 0.0600030i
\(73\) −153978. + 165948.i −0.395812 + 0.426584i −0.899242 0.437453i \(-0.855881\pi\)
0.503430 + 0.864036i \(0.332071\pi\)
\(74\) 296960. + 202464.i 0.732830 + 0.499635i
\(75\) −62420.4 + 49778.6i −0.147960 + 0.117994i
\(76\) 59047.9 + 63638.5i 0.134513 + 0.144970i
\(77\) −87065.1 577639.i −0.190709 1.26527i
\(78\) −58202.5 + 255002.i −0.122647 + 0.537352i
\(79\) −327604. + 567426.i −0.664458 + 1.15087i 0.314974 + 0.949100i \(0.398004\pi\)
−0.979432 + 0.201774i \(0.935329\pi\)
\(80\) −136522. + 78821.0i −0.266644 + 0.153947i
\(81\) 150383. 46387.1i 0.282973 0.0872855i
\(82\) −329211. 262537.i −0.597080 0.476156i
\(83\) −13823.7 184464.i −0.0241763 0.322610i −0.996159 0.0875593i \(-0.972093\pi\)
0.971983 0.235051i \(-0.0755258\pi\)
\(84\) 105537. 50823.7i 0.178059 0.0857489i
\(85\) 31958.9i 0.0520398i
\(86\) −125331. + 464490.i −0.197044 + 0.730266i
\(87\) 439248. 0.667040
\(88\) −448115. 930520.i −0.657569 1.36546i
\(89\) 1.03278e6 77396.4i 1.46500 0.109787i 0.681794 0.731544i \(-0.261200\pi\)
0.783210 + 0.621757i \(0.213581\pi\)
\(90\) −202283. + 253655.i −0.277481 + 0.347950i
\(91\) −291380. 944632.i −0.386666 1.25354i
\(92\) 310263. + 537390.i 0.398443 + 0.690123i
\(93\) −131498. 75920.6i −0.163483 0.0943867i
\(94\) 740740. + 169069.i 0.891831 + 0.203555i
\(95\) −310119. + 46743.0i −0.361708 + 0.0545187i
\(96\) 258134. 239513.i 0.291763 0.270717i
\(97\) 237965. + 298399.i 0.260734 + 0.326950i 0.894917 0.446233i \(-0.147235\pi\)
−0.634183 + 0.773183i \(0.718663\pi\)
\(98\) −67576.3 + 99116.2i −0.0717986 + 0.105309i
\(99\) −742021. 688495.i −0.764734 0.709570i
\(100\) 11946.8 159419.i 0.0119468 0.159419i
\(101\) −232418. 592191.i −0.225583 0.574775i 0.772609 0.634882i \(-0.218951\pi\)
−0.998192 + 0.0601065i \(0.980856\pi\)
\(102\) 5948.80 + 26063.4i 0.00560569 + 0.0245601i
\(103\) −306604. 94574.7i −0.280586 0.0865492i 0.151268 0.988493i \(-0.451664\pi\)
−0.431854 + 0.901944i \(0.642140\pi\)
\(104\) −984545. 1.44406e6i −0.875257 1.28377i
\(105\) −63070.3 + 418444.i −0.0544825 + 0.361468i
\(106\) −469433. 184239.i −0.394145 0.154690i
\(107\) 102525. + 49373.6i 0.0836913 + 0.0403036i 0.475261 0.879845i \(-0.342354\pi\)
−0.391570 + 0.920148i \(0.628068\pi\)
\(108\) 206527. 428857.i 0.163948 0.340441i
\(109\) −483829. + 1.23278e6i −0.373605 + 0.951929i 0.613187 + 0.789937i \(0.289887\pi\)
−0.986792 + 0.161992i \(0.948208\pi\)
\(110\) 1.10559e6 + 166641.i 0.830646 + 0.125200i
\(111\) 671165. 457593.i 0.490750 0.334588i
\(112\) 146902. 476245.i 0.104562 0.338981i
\(113\) −540960. + 123471.i −0.374912 + 0.0855713i −0.405825 0.913951i \(-0.633016\pi\)
0.0309127 + 0.999522i \(0.490159\pi\)
\(114\) −244210. + 95845.5i −0.164835 + 0.0646930i
\(115\) −2.23545e6 167524.i −1.46985 0.110150i
\(116\) −598236. + 644745.i −0.383264 + 0.413061i
\(117\) −1.41531e6 964941.i −0.883677 0.602481i
\(118\) 1.35311e6 1.07907e6i 0.823543 0.656754i
\(119\) −68723.6 74066.4i −0.0407817 0.0439522i
\(120\) 111508. + 739808.i 0.0645301 + 0.428129i
\(121\) −382026. + 1.67377e6i −0.215644 + 0.944797i
\(122\) −663562. + 1.14932e6i −0.365428 + 0.632940i
\(123\) −824182. + 475842.i −0.442902 + 0.255710i
\(124\) 290534. 89617.9i 0.152381 0.0470035i
\(125\) 1.66008e6 + 1.32387e6i 0.849960 + 0.677821i
\(126\) −76651.5 1.02284e6i −0.0383185 0.511325i
\(127\) 2.75601e6 1.32722e6i 1.34546 0.647938i 0.384112 0.923286i \(-0.374508\pi\)
0.961344 + 0.275349i \(0.0887933\pi\)
\(128\) 88005.4i 0.0419643i
\(129\) 873747. + 647219.i 0.407021 + 0.301496i
\(130\) 1.89207e6 0.861204
\(131\) 684874. + 1.42216e6i 0.304647 + 0.632606i 0.995945 0.0899639i \(-0.0286752\pi\)
−0.691298 + 0.722570i \(0.742961\pi\)
\(132\) −697534. + 52272.9i −0.303280 + 0.0227277i
\(133\) 618203. 775202.i 0.262770 0.329503i
\(134\) 1.05442e6 + 3.41833e6i 0.438226 + 1.42069i
\(135\) 859795. + 1.48921e6i 0.349457 + 0.605277i
\(136\) −154703. 89317.9i −0.0615010 0.0355076i
\(137\) 2.98122e6 + 680443.i 1.15940 + 0.264625i 0.758609 0.651547i \(-0.225879\pi\)
0.400787 + 0.916171i \(0.368737\pi\)
\(138\) −1.85425e6 + 279484.i −0.705557 + 0.106346i
\(139\) 140590. 130448.i 0.0523491 0.0485728i −0.653564 0.756871i \(-0.726727\pi\)
0.705914 + 0.708298i \(0.250537\pi\)
\(140\) −528309. 662479.i −0.192533 0.241428i
\(141\) 967342. 1.41883e6i 0.345082 0.506143i
\(142\) −2.34138e6 2.17249e6i −0.817725 0.758738i
\(143\) −441146. + 5.88668e6i −0.150860 + 2.01309i
\(144\) −315509. 803903.i −0.105663 0.269226i
\(145\) −707044. 3.09776e6i −0.231922 1.01612i
\(146\) 1.30898e6 + 403767.i 0.420606 + 0.129740i
\(147\) 152731. + 224015.i 0.0480810 + 0.0705219i
\(148\) −242425. + 1.60838e6i −0.0747811 + 0.496140i
\(149\) −225052. 88326.5i −0.0680338 0.0267013i 0.331080 0.943603i \(-0.392587\pi\)
−0.399114 + 0.916901i \(0.630682\pi\)
\(150\) 435266. + 209613.i 0.128968 + 0.0621076i
\(151\) −237669. + 493525.i −0.0690306 + 0.143344i −0.932629 0.360837i \(-0.882491\pi\)
0.863598 + 0.504180i \(0.168205\pi\)
\(152\) 640445. 1.63183e6i 0.182369 0.464668i
\(153\) −173123. 26094.1i −0.0483372 0.00728566i
\(154\) −2.92060e6 + 1.99123e6i −0.799668 + 0.545204i
\(155\) −323755. + 1.04959e6i −0.0869405 + 0.281854i
\(156\) −1.15403e6 + 263400.i −0.303979 + 0.0693813i
\(157\) 1.48338e6 582184.i 0.383313 0.150439i −0.165857 0.986150i \(-0.553039\pi\)
0.549170 + 0.835711i \(0.314944\pi\)
\(158\) 3.95361e6 + 296282.i 1.00236 + 0.0751164i
\(159\) −775235. + 835504.i −0.192860 + 0.207853i
\(160\) −2.10466e6 1.43493e6i −0.513832 0.350325i
\(161\) 5.54101e6 4.41881e6i 1.32773 1.05883i
\(162\) −647719. 698075.i −0.152350 0.164194i
\(163\) −553324. 3.67106e6i −0.127766 0.847675i −0.957275 0.289180i \(-0.906617\pi\)
0.829508 0.558494i \(-0.188621\pi\)
\(164\) 424040. 1.85784e6i 0.0961337 0.421189i
\(165\) 1.26349e6 2.18844e6i 0.281269 0.487172i
\(166\) −969374. + 559668.i −0.211918 + 0.122351i
\(167\) −7.93714e6 + 2.44828e6i −1.70418 + 0.525669i −0.985500 0.169676i \(-0.945728\pi\)
−0.718677 + 0.695344i \(0.755252\pi\)
\(168\) −1.84929e6 1.47476e6i −0.390011 0.311023i
\(169\) 385821. + 5.14842e6i 0.0799329 + 1.06663i
\(170\) 174234. 83906.9i 0.0354639 0.0170785i
\(171\) 1.71810e6i 0.343605i
\(172\) −2.14002e6 + 401036.i −0.420564 + 0.0788131i
\(173\) −2.67703e6 −0.517028 −0.258514 0.966007i \(-0.583233\pi\)
−0.258514 + 0.966007i \(0.583233\pi\)
\(174\) −1.15323e6 2.39470e6i −0.218911 0.454573i
\(175\) −1.82078e6 + 136449.i −0.339738 + 0.0254598i
\(176\) −1.85560e6 + 2.32684e6i −0.340366 + 0.426805i
\(177\) −1.15295e6 3.73779e6i −0.207918 0.674054i
\(178\) −3.13348e6 5.42734e6i −0.555606 0.962337i
\(179\) 2.30424e6 + 1.33035e6i 0.401762 + 0.231957i 0.687244 0.726427i \(-0.258820\pi\)
−0.285482 + 0.958384i \(0.592154\pi\)
\(180\) −1.43146e6 326721.i −0.245449 0.0560221i
\(181\) 7.19075e6 1.08383e6i 1.21266 0.182779i 0.488594 0.872511i \(-0.337510\pi\)
0.724064 + 0.689732i \(0.242272\pi\)
\(182\) −4.38496e6 + 4.06864e6i −0.727363 + 0.674894i
\(183\) 1.87013e6 + 2.34507e6i 0.305154 + 0.382651i
\(184\) 7.05850e6 1.03529e7i 1.13308 1.66192i
\(185\) −4.30749e6 3.99677e6i −0.680314 0.631239i
\(186\) −68662.1 + 916232.i −0.0106703 + 0.142386i
\(187\) 220431. + 561650.i 0.0337092 + 0.0858896i
\(188\) 765137. + 3.35229e6i 0.115151 + 0.504507i
\(189\) −5.19497e6 1.60244e6i −0.769481 0.237353i
\(190\) 1.06904e6 + 1.56799e6i 0.155859 + 0.228604i
\(191\) −226007. + 1.49946e6i −0.0324356 + 0.215196i −0.999177 0.0405593i \(-0.987086\pi\)
0.966742 + 0.255755i \(0.0823241\pi\)
\(192\) −3.28181e6 1.28801e6i −0.463670 0.181977i
\(193\) 3.90406e6 + 1.88010e6i 0.543056 + 0.261522i 0.685239 0.728319i \(-0.259698\pi\)
−0.142183 + 0.989840i \(0.545412\pi\)
\(194\) 1.00205e6 2.08078e6i 0.137241 0.284984i
\(195\) 1.56231e6 3.98069e6i 0.210699 0.536852i
\(196\) −536829. 80914.0i −0.0712965 0.0107462i
\(197\) 3.27380e6 2.23204e6i 0.428206 0.291946i −0.329975 0.943990i \(-0.607040\pi\)
0.758182 + 0.652043i \(0.226088\pi\)
\(198\) −1.80540e6 + 5.85298e6i −0.232584 + 0.754017i
\(199\) 4.10329e6 936550.i 0.520683 0.118842i 0.0459010 0.998946i \(-0.485384\pi\)
0.474782 + 0.880104i \(0.342527\pi\)
\(200\) −3.00501e6 + 1.17938e6i −0.375626 + 0.147423i
\(201\) 8.06243e6 + 604196.i 0.992837 + 0.0744028i
\(202\) −2.61832e6 + 2.82188e6i −0.317664 + 0.342361i
\(203\) 8.29995e6 + 5.65881e6i 0.992173 + 0.676452i
\(204\) −94590.3 + 75433.2i −0.0111418 + 0.00888530i
\(205\) 4.68250e6 + 5.04653e6i 0.543521 + 0.585776i
\(206\) 289371. + 1.91985e6i 0.0331019 + 0.219617i
\(207\) 2.73271e6 1.19728e7i 0.308093 1.34985i
\(208\) −2.51819e6 + 4.36163e6i −0.279833 + 0.484684i
\(209\) −5.12767e6 + 2.96046e6i −0.561670 + 0.324280i
\(210\) 2.44687e6 754759.i 0.264212 0.0814987i
\(211\) 3.56273e6 + 2.84118e6i 0.379259 + 0.302449i 0.794502 0.607262i \(-0.207732\pi\)
−0.415243 + 0.909711i \(0.636303\pi\)
\(212\) −170551. 2.27584e6i −0.0178997 0.238855i
\(213\) −6.50397e6 + 3.13215e6i −0.673039 + 0.324118i
\(214\) 688579.i 0.0702607i
\(215\) 3.15802e6 7.20384e6i 0.317760 0.724851i
\(216\) −9.61172e6 −0.953762
\(217\) −1.50669e6 3.12867e6i −0.147450 0.306183i
\(218\) 7.99115e6 598854.i 0.771329 0.0578031i
\(219\) 1.93033e6 2.42055e6i 0.183780 0.230453i
\(220\) 1.49145e6 + 4.83516e6i 0.140068 + 0.454091i
\(221\) 510516. + 884239.i 0.0472968 + 0.0819205i
\(222\) −4.25683e6 2.45768e6i −0.389070 0.224629i
\(223\) −1.79453e7 4.09590e6i −1.61822 0.369347i −0.684966 0.728575i \(-0.740183\pi\)
−0.933250 + 0.359228i \(0.883040\pi\)
\(224\) 7.96328e6 1.20027e6i 0.708513 0.106791i
\(225\) −2.31929e6 + 2.15199e6i −0.203614 + 0.188926i
\(226\) 2.09341e6 + 2.62505e6i 0.181354 + 0.227411i
\(227\) −9.57805e6 + 1.40484e7i −0.818841 + 1.20102i 0.158082 + 0.987426i \(0.449469\pi\)
−0.976923 + 0.213593i \(0.931483\pi\)
\(228\) −870328. 807546.i −0.0734308 0.0681338i
\(229\) −421890. + 5.62973e6i −0.0351312 + 0.468793i 0.951699 + 0.307033i \(0.0993362\pi\)
−0.986830 + 0.161760i \(0.948283\pi\)
\(230\) 4.95578e6 + 1.26271e7i 0.407313 + 1.03782i
\(231\) 1.77774e6 + 7.78879e6i 0.144222 + 0.631879i
\(232\) 1.69713e7 + 5.23495e6i 1.35910 + 0.419227i
\(233\) 4.84942e6 + 7.11280e6i 0.383374 + 0.562306i 0.968619 0.248550i \(-0.0799542\pi\)
−0.585245 + 0.810856i \(0.699002\pi\)
\(234\) −1.54485e6 + 1.02494e7i −0.120570 + 0.799930i
\(235\) −1.15633e7 4.53826e6i −0.891000 0.349692i
\(236\) 7.05674e6 + 3.39835e6i 0.536869 + 0.258542i
\(237\) 3.88790e6 8.07331e6i 0.292059 0.606466i
\(238\) −223366. + 569127.i −0.0165686 + 0.0422161i
\(239\) 7.71578e6 + 1.16297e6i 0.565179 + 0.0851870i 0.425416 0.904998i \(-0.360128\pi\)
0.139763 + 0.990185i \(0.455366\pi\)
\(240\) 1.78131e6 1.21448e6i 0.128857 0.0878530i
\(241\) 5.56458e6 1.80399e7i 0.397540 1.28879i −0.506831 0.862046i \(-0.669183\pi\)
0.904371 0.426748i \(-0.140341\pi\)
\(242\) 1.01281e7 2.31166e6i 0.714628 0.163109i
\(243\) −1.37990e7 + 5.41569e6i −0.961673 + 0.377429i
\(244\) −5.98922e6 448830.i −0.412288 0.0308967i
\(245\) 1.33400e6 1.43771e6i 0.0907104 0.0977626i
\(246\) 4.75806e6 + 3.24399e6i 0.319613 + 0.217909i
\(247\) −7.83370e6 + 6.24717e6i −0.519848 + 0.414565i
\(248\) −4.17591e6 4.50056e6i −0.273776 0.295061i
\(249\) 377052. + 2.50158e6i 0.0244232 + 0.162038i
\(250\) 2.85903e6 1.25262e7i 0.182978 0.801678i
\(251\) −9.18301e6 + 1.59054e7i −0.580716 + 1.00583i 0.414679 + 0.909968i \(0.363894\pi\)
−0.995395 + 0.0958617i \(0.969439\pi\)
\(252\) 4.02004e6 2.32097e6i 0.251205 0.145034i
\(253\) −4.04415e7 + 1.24746e7i −2.49727 + 0.770307i
\(254\) −1.44716e7 1.15407e7i −0.883110 0.704257i
\(255\) −32662.6 435852.i −0.00196984 0.0262857i
\(256\) 1.53442e7 7.38939e6i 0.914588 0.440442i
\(257\) 2.01675e7i 1.18810i −0.804428 0.594050i \(-0.797528\pi\)
0.804428 0.594050i \(-0.202472\pi\)
\(258\) 1.23453e6 6.46276e6i 0.0718860 0.376321i
\(259\) 1.85774e7 1.06926
\(260\) 3.71522e6 + 7.71473e6i 0.211380 + 0.438936i
\(261\) 1.73580e7 1.30080e6i 0.976290 0.0731628i
\(262\) 5.95523e6 7.46762e6i 0.331127 0.415220i
\(263\) −2.86513e6 9.28851e6i −0.157499 0.510598i 0.842088 0.539340i \(-0.181326\pi\)
−0.999587 + 0.0287418i \(0.990850\pi\)
\(264\) 7.06235e6 + 1.22324e7i 0.383829 + 0.664811i
\(265\) 7.14020e6 + 4.12239e6i 0.383683 + 0.221520i
\(266\) −5.84933e6 1.33507e6i −0.310786 0.0709348i
\(267\) −1.40059e7 + 2.11105e6i −0.735828 + 0.110908i
\(268\) −1.18675e7 + 1.10115e7i −0.616533 + 0.572059i
\(269\) −1.54617e7 1.93884e7i −0.794329 0.996057i −0.999849 0.0174037i \(-0.994460\pi\)
0.205520 0.978653i \(-0.434111\pi\)
\(270\) 5.86154e6 8.59731e6i 0.297797 0.436788i
\(271\) 1.03483e7 + 9.60185e6i 0.519951 + 0.482444i 0.895937 0.444181i \(-0.146505\pi\)
−0.375986 + 0.926625i \(0.622696\pi\)
\(272\) −38468.2 + 513323.i −0.00191159 + 0.0255084i
\(273\) 4.93924e6 + 1.25850e7i 0.242757 + 0.618536i
\(274\) −4.11741e6 1.80395e7i −0.200158 0.876947i
\(275\) 1.04190e7 + 3.21383e6i 0.500988 + 0.154534i
\(276\) −4.78055e6 7.01178e6i −0.227379 0.333504i
\(277\) 2.48218e6 1.64682e7i 0.116787 0.774831i −0.851384 0.524543i \(-0.824236\pi\)
0.968171 0.250289i \(-0.0805256\pi\)
\(278\) −1.08029e6 423983.i −0.0502813 0.0197340i
\(279\) −5.42134e6 2.61078e6i −0.249628 0.120215i
\(280\) −7.42387e6 + 1.54158e7i −0.338187 + 0.702252i
\(281\) 8.41079e6 2.14304e7i 0.379069 0.965851i −0.606273 0.795257i \(-0.707336\pi\)
0.985341 0.170595i \(-0.0545688\pi\)
\(282\) −1.02749e7 1.54870e6i −0.458175 0.0690588i
\(283\) 4.76111e6 3.24607e6i 0.210063 0.143218i −0.453719 0.891145i \(-0.649903\pi\)
0.663781 + 0.747927i \(0.268950\pi\)
\(284\) 4.26063e6 1.38126e7i 0.186003 0.603006i
\(285\) 4.18160e6 954423.i 0.180638 0.0412293i
\(286\) 3.32514e7 1.30502e7i 1.42138 0.557852i
\(287\) −2.17038e7 1.62648e6i −0.918102 0.0688023i
\(288\) 9.49152e6 1.02294e7i 0.397336 0.428227i
\(289\) −1.98572e7 1.35384e7i −0.822667 0.560885i
\(290\) −1.50321e7 + 1.19877e7i −0.616348 + 0.491521i
\(291\) −3.55031e6 3.82632e6i −0.144075 0.155275i
\(292\) 923962. + 6.13009e6i 0.0371113 + 0.246217i
\(293\) 7.18968e6 3.15001e7i 0.285829 1.25230i −0.604361 0.796711i \(-0.706571\pi\)
0.890190 0.455589i \(-0.150571\pi\)
\(294\) 820299. 1.42080e6i 0.0322798 0.0559102i
\(295\) −2.45046e7 + 1.41477e7i −0.954511 + 0.551087i
\(296\) 3.13855e7 9.68115e6i 1.21019 0.373295i
\(297\) 2.53817e7 + 2.02412e7i 0.968838 + 0.772623i
\(298\) 109325. + 1.45884e6i 0.00413115 + 0.0551264i
\(299\) −6.45265e7 + 3.10743e7i −2.41393 + 1.16249i
\(300\) 2.18635e6i 0.0809761i
\(301\) 8.17207e6 + 2.34862e7i 0.299663 + 0.861217i
\(302\) 3.31460e6 0.120340
\(303\) 3.77492e6 + 7.83870e6i 0.135700 + 0.281784i
\(304\) −5.03738e6 + 377500.i −0.179302 + 0.0134368i
\(305\) 1.35281e7 1.69637e7i 0.476802 0.597891i
\(306\) 312267. + 1.01235e6i 0.0108984 + 0.0353317i
\(307\) 4.34607e6 + 7.52761e6i 0.150204 + 0.260161i 0.931302 0.364247i \(-0.118674\pi\)
−0.781098 + 0.624408i \(0.785340\pi\)
\(308\) −1.38539e7 7.99855e6i −0.474154 0.273753i
\(309\) 4.27808e6 + 976444.i 0.145002 + 0.0330957i
\(310\) 6.57218e6 990596.i 0.220610 0.0332515i
\(311\) −2.43107e6 + 2.25571e6i −0.0808197 + 0.0749897i −0.719548 0.694442i \(-0.755651\pi\)
0.638729 + 0.769432i \(0.279461\pi\)
\(312\) 1.49030e7 + 1.86877e7i 0.490692 + 0.615308i
\(313\) −7.95322e6 + 1.16652e7i −0.259364 + 0.380417i −0.933729 0.357981i \(-0.883465\pi\)
0.674365 + 0.738399i \(0.264418\pi\)
\(314\) −7.06851e6 6.55862e6i −0.228317 0.211848i
\(315\) −1.25319e6 + 1.67227e7i −0.0400946 + 0.535025i
\(316\) 6.55517e6 + 1.67023e7i 0.207741 + 0.529316i
\(317\) 6.24031e6 + 2.73406e7i 0.195897 + 0.858281i 0.973347 + 0.229337i \(0.0736557\pi\)
−0.777450 + 0.628945i \(0.783487\pi\)
\(318\) 6.59036e6 + 2.03286e6i 0.204941 + 0.0632158i
\(319\) −3.37919e7 4.95637e7i −1.04098 1.52683i
\(320\) −3.80099e6 + 2.52179e7i −0.115997 + 0.769591i
\(321\) −1.44869e6 568569.i −0.0437986 0.0171897i
\(322\) −3.86382e7 1.86072e7i −1.15731 0.557331i
\(323\) −444340. + 922681.i −0.0131858 + 0.0273807i
\(324\) 1.57449e6 4.01174e6i 0.0462920 0.117950i
\(325\) 1.82452e7 + 2.75002e6i 0.531494 + 0.0801098i
\(326\) −1.85613e7 + 1.26548e7i −0.535741 + 0.365262i
\(327\) 5.33848e6 1.73069e7i 0.152677 0.494968i
\(328\) −3.75152e7 + 8.56259e6i −1.06313 + 0.242652i
\(329\) 3.65574e7 1.43477e7i 1.02657 0.402899i
\(330\) −1.52482e7 1.14270e6i −0.424304 0.0317972i
\(331\) −3.61438e6 + 3.89537e6i −0.0996666 + 0.107415i −0.780915 0.624637i \(-0.785247\pi\)
0.681248 + 0.732052i \(0.261437\pi\)
\(332\) −4.18544e6 2.85358e6i −0.114374 0.0779788i
\(333\) 2.51677e7 2.00706e7i 0.681571 0.543535i
\(334\) 3.41862e7 + 3.68440e7i 0.917512 + 0.988843i
\(335\) −8.71680e6 5.78322e7i −0.231858 1.53828i
\(336\) −1.51670e6 + 6.64511e6i −0.0399836 + 0.175180i
\(337\) −1.99177e6 + 3.44985e6i −0.0520416 + 0.0901386i −0.890873 0.454253i \(-0.849906\pi\)
0.838831 + 0.544392i \(0.183239\pi\)
\(338\) 2.70553e7 1.56204e7i 0.700652 0.404522i
\(339\) 7.25136e6 2.23675e6i 0.186132 0.0574140i
\(340\) 684246. + 545668.i 0.0174091 + 0.0138833i
\(341\) 1.54965e6 + 2.06786e7i 0.0390814 + 0.521505i
\(342\) −9.36677e6 + 4.51080e6i −0.234159 + 0.112765i
\(343\) 4.29975e7i 1.06552i
\(344\) 2.60456e7 + 3.54200e7i 0.639821 + 0.870109i
\(345\) 3.06580e7 0.746599
\(346\) 7.02842e6 + 1.45947e7i 0.169680 + 0.352343i
\(347\) 1.09451e7 820222.i 0.261958 0.0196310i 0.0568963 0.998380i \(-0.481880\pi\)
0.205062 + 0.978749i \(0.434261\pi\)
\(348\) 7.49973e6 9.40437e6i 0.177954 0.223147i
\(349\) 6.61582e6 + 2.14480e7i 0.155635 + 0.504556i 0.999487 0.0320192i \(-0.0101938\pi\)
−0.843852 + 0.536576i \(0.819718\pi\)
\(350\) 5.52428e6 + 9.56833e6i 0.128846 + 0.223168i
\(351\) 4.75776e7 + 2.74689e7i 1.10022 + 0.635214i
\(352\) −4.68846e7 1.07011e7i −1.07498 0.245358i
\(353\) 4.98977e7 7.52087e6i 1.13437 0.170980i 0.445101 0.895480i \(-0.353168\pi\)
0.689274 + 0.724501i \(0.257930\pi\)
\(354\) −1.73507e7 + 1.60991e7i −0.391118 + 0.362904i
\(355\) 3.25585e7 + 4.08270e7i 0.727745 + 0.912563i
\(356\) 1.59767e7 2.34335e7i 0.354109 0.519382i
\(357\) 1.01294e6 + 939873.i 0.0222628 + 0.0206569i
\(358\) 1.20316e6 1.60551e7i 0.0262226 0.349916i
\(359\) −1.15169e6 2.93445e6i −0.0248915 0.0634225i 0.917888 0.396840i \(-0.129893\pi\)
−0.942779 + 0.333418i \(0.891798\pi\)
\(360\) 6.59743e6 + 2.89052e7i 0.141406 + 0.619539i
\(361\) 3.53525e7 + 1.09048e7i 0.751447 + 0.231791i
\(362\) −2.47879e7 3.63571e7i −0.522533 0.766415i
\(363\) 3.49941e6 2.32171e7i 0.0731602 0.485386i
\(364\) −2.51998e7 9.89018e6i −0.522507 0.205069i
\(365\) −2.01779e7 9.71718e6i −0.414952 0.199830i
\(366\) 7.87495e6 1.63525e7i 0.160622 0.333535i
\(367\) −2.13083e7 + 5.42927e7i −0.431073 + 1.09836i 0.536081 + 0.844167i \(0.319904\pi\)
−0.967154 + 0.254190i \(0.918191\pi\)
\(368\) −3.57041e7 5.38152e6i −0.716430 0.107985i
\(369\) −3.11606e7 + 2.12449e7i −0.620192 + 0.422840i
\(370\) −1.04805e7 + 3.39770e7i −0.206908 + 0.670780i
\(371\) −2.54125e7 + 5.80023e6i −0.497651 + 0.113586i
\(372\) −3.87068e6 + 1.51913e6i −0.0751897 + 0.0295098i
\(373\) −2.29939e7 1.72316e6i −0.443085 0.0332046i −0.148680 0.988885i \(-0.547502\pi\)
−0.294405 + 0.955681i \(0.595121\pi\)
\(374\) 2.48328e6 2.67634e6i 0.0474691 0.0511595i
\(375\) −2.39930e7 1.63581e7i −0.454978 0.310199i
\(376\) 5.42850e7 4.32908e7i 1.02121 0.814390i
\(377\) −6.90464e7 7.44144e7i −1.28860 1.38878i
\(378\) 4.90299e6 + 3.25292e7i 0.0907790 + 0.602279i
\(379\) 1.48259e7 6.49564e7i 0.272334 1.19317i −0.634915 0.772582i \(-0.718965\pi\)
0.907249 0.420593i \(-0.138178\pi\)
\(380\) −4.29422e6 + 7.43780e6i −0.0782588 + 0.135548i
\(381\) −3.62297e7 + 2.09172e7i −0.655073 + 0.378207i
\(382\) 8.76815e6 2.70461e6i 0.157296 0.0485194i
\(383\) 5.66662e7 + 4.51898e7i 1.00862 + 0.804347i 0.980751 0.195264i \(-0.0625564\pi\)
0.0278691 + 0.999612i \(0.491128\pi\)
\(384\) −89943.1 1.20021e6i −0.00158845 0.0211964i
\(385\) 5.20683e7 2.50748e7i 0.912412 0.439394i
\(386\) 2.62203e7i 0.455907i
\(387\) 3.64451e7 + 2.29890e7i 0.628791 + 0.396632i
\(388\) 1.04518e7 0.178935
\(389\) −1.78005e7 3.69632e7i −0.302402 0.627943i 0.693291 0.720658i \(-0.256160\pi\)
−0.995693 + 0.0927143i \(0.970446\pi\)
\(390\) −2.58038e7 + 1.93373e6i −0.435000 + 0.0325987i
\(391\) −4.56400e6 + 5.72307e6i −0.0763511 + 0.0957412i
\(392\) 3.23127e6 + 1.04755e7i 0.0536433 + 0.173907i
\(393\) −1.07937e7 1.86952e7i −0.177825 0.308002i
\(394\) −2.07639e7 1.19880e7i −0.339485 0.196001i
\(395\) −6.31946e7 1.44238e7i −1.02539 0.234038i
\(396\) −2.74101e7 + 4.13140e6i −0.441392 + 0.0665292i
\(397\) 8.49889e7 7.88582e7i 1.35828 1.26030i 0.423128 0.906070i \(-0.360932\pi\)
0.935157 0.354234i \(-0.115258\pi\)
\(398\) −1.58789e7 1.99115e7i −0.251867 0.315832i
\(399\) −7.63871e6 + 1.12039e7i −0.120254 + 0.176381i
\(400\) 6.81912e6 + 6.32722e6i 0.106549 + 0.0988628i
\(401\) −8.07454e6 + 1.07747e8i −0.125223 + 1.67099i 0.481784 + 0.876290i \(0.339989\pi\)
−0.607007 + 0.794696i \(0.707630\pi\)
\(402\) −1.78736e7 4.55412e7i −0.275128 0.701014i
\(403\) 7.80860e6 + 3.42117e7i 0.119305 + 0.522709i
\(404\) −1.66472e7 5.13499e6i −0.252463 0.0778745i
\(405\) 8.77040e6 + 1.28638e7i 0.132024 + 0.193644i
\(406\) 9.05964e6 6.01068e7i 0.135373 0.898143i
\(407\) −1.03267e8 4.05294e7i −1.53172 0.601156i
\(408\) 2.20111e6 + 1.06000e6i 0.0324086 + 0.0156072i
\(409\) 3.25050e7 6.74974e7i 0.475095 0.986545i −0.516394 0.856351i \(-0.672726\pi\)
0.991489 0.130194i \(-0.0415599\pi\)
\(410\) 1.52191e7 3.87776e7i 0.220819 0.562638i
\(411\) −4.13529e7 6.23295e6i −0.595636 0.0897776i
\(412\) −7.25982e6 + 4.94966e6i −0.103809 + 0.0707756i
\(413\) 2.63677e7 8.54820e7i 0.374302 1.21346i
\(414\) −7.24481e7 + 1.65358e7i −1.02100 + 0.233037i
\(415\) 1.70352e7 6.68584e6i 0.238344 0.0935431i
\(416\) −8.11533e7 6.08160e6i −1.12726 0.0844768i
\(417\) −1.78402e6 + 1.92272e6i −0.0246033 + 0.0265160i
\(418\) 2.96024e7 + 2.01826e7i 0.405320 + 0.276342i
\(419\) 5.88776e6 4.69533e6i 0.0800401 0.0638299i −0.582652 0.812721i \(-0.697985\pi\)
0.662693 + 0.748892i \(0.269414\pi\)
\(420\) 7.88209e6 + 8.49487e6i 0.106388 + 0.114659i
\(421\) 1.10823e7 + 7.35262e7i 0.148519 + 0.985362i 0.931611 + 0.363456i \(0.118403\pi\)
−0.783092 + 0.621906i \(0.786359\pi\)
\(422\) 6.13582e6 2.68828e7i 0.0816461 0.357715i
\(423\) 3.40253e7 5.89335e7i 0.449553 0.778648i
\(424\) −3.99104e7 + 2.30423e7i −0.523587 + 0.302293i
\(425\) 1.80210e6 555873.i 0.0234753 0.00724117i
\(426\) 3.41518e7 + 2.72352e7i 0.441759 + 0.352291i
\(427\) 5.12623e6 + 6.84048e7i 0.0658438 + 0.878624i
\(428\) 2.80762e6 1.35208e6i 0.0358102 0.0172453i
\(429\) 8.07328e7i 1.02253i
\(430\) −4.75653e7 + 1.69644e6i −0.598253 + 0.0213370i
\(431\) 3.00865e7 0.375785 0.187892 0.982190i \(-0.439834\pi\)
0.187892 + 0.982190i \(0.439834\pi\)
\(432\) 1.20175e7 + 2.49545e7i 0.149060 + 0.309526i
\(433\) −7.57800e7 + 5.67893e6i −0.933450 + 0.0699524i −0.532765 0.846263i \(-0.678847\pi\)
−0.400685 + 0.916216i \(0.631228\pi\)
\(434\) −1.31012e7 + 1.64284e7i −0.160266 + 0.200967i
\(435\) 1.28085e7 + 4.15243e7i 0.155608 + 0.504469i
\(436\) 1.81330e7 + 3.14073e7i 0.218782 + 0.378941i
\(437\) −6.22102e7 3.59171e7i −0.745448 0.430384i
\(438\) −1.82644e7 4.16873e6i −0.217362 0.0496114i
\(439\) 2.83557e7 4.27393e6i 0.335155 0.0505165i 0.0206913 0.999786i \(-0.493413\pi\)
0.314464 + 0.949269i \(0.398175\pi\)
\(440\) 7.48996e7 6.94967e7i 0.879269 0.815842i
\(441\) 6.69895e6 + 8.40022e6i 0.0781072 + 0.0979433i
\(442\) 3.48037e6 5.10477e6i 0.0403050 0.0591166i
\(443\) 5.52651e7 + 5.12785e7i 0.635682 + 0.589827i 0.930753 0.365649i \(-0.119153\pi\)
−0.295071 + 0.955475i \(0.595343\pi\)
\(444\) 1.66236e6 2.21827e7i 0.0189923 0.253434i
\(445\) 3.74328e7 + 9.53772e7i 0.424788 + 1.08234i
\(446\) 2.47846e7 + 1.08588e8i 0.279368 + 1.22399i
\(447\) 3.15951e6 + 974579.i 0.0353750 + 0.0109118i
\(448\) −4.54190e7 6.66174e7i −0.505130 0.740890i
\(449\) −1.96815e7 + 1.30578e8i −0.217430 + 1.44255i 0.567707 + 0.823231i \(0.307831\pi\)
−0.785137 + 0.619322i \(0.787407\pi\)
\(450\) 1.78215e7 + 6.99441e6i 0.195572 + 0.0767562i
\(451\) 1.17098e8 + 5.63916e7i 1.27650 + 0.614730i
\(452\) −6.59284e6 + 1.36902e7i −0.0713933 + 0.148250i
\(453\) 2.73691e6 6.97354e6i 0.0294419 0.0750168i
\(454\) 1.01736e8 + 1.53343e7i 1.08720 + 0.163869i
\(455\) 8.08041e7 5.50913e7i 0.857826 0.584856i
\(456\) −7.06655e6 + 2.29092e7i −0.0745269 + 0.241610i
\(457\) 1.17178e7 2.67450e6i 0.122771 0.0280217i −0.160694 0.987004i \(-0.551373\pi\)
0.283465 + 0.958983i \(0.408516\pi\)
\(458\) 3.17999e7 1.24806e7i 0.331001 0.129908i
\(459\) 5.59943e6 + 419619.i 0.0579036 + 0.00433927i
\(460\) −4.17549e7 + 4.50011e7i −0.428977 + 0.462327i
\(461\) 6.97086e7 + 4.75265e7i 0.711514 + 0.485102i 0.864184 0.503175i \(-0.167835\pi\)
−0.152671 + 0.988277i \(0.548787\pi\)
\(462\) 3.77957e7 3.01411e7i 0.383280 0.305656i
\(463\) −9.38529e6 1.01149e7i −0.0945594 0.101911i 0.683999 0.729483i \(-0.260239\pi\)
−0.778558 + 0.627572i \(0.784049\pi\)
\(464\) −7.62779e6 5.06071e7i −0.0763563 0.506591i
\(465\) 3.34264e6 1.46451e7i 0.0332453 0.145657i
\(466\) 2.60457e7 4.51125e7i 0.257382 0.445799i
\(467\) −5.75883e7 + 3.32486e7i −0.565436 + 0.326455i −0.755324 0.655351i \(-0.772521\pi\)
0.189889 + 0.981806i \(0.439187\pi\)
\(468\) −4.48246e7 + 1.38265e7i −0.437299 + 0.134889i
\(469\) 1.44562e8 + 1.15285e8i 1.40132 + 1.11751i
\(470\) 5.61717e6 + 7.49560e7i 0.0541034 + 0.721959i
\(471\) −1.96352e7 + 9.45579e6i −0.187919 + 0.0904972i
\(472\) 1.58158e8i 1.50406i
\(473\) 5.81207e6 1.48383e8i 0.0549221 1.40217i
\(474\) −5.42217e7 −0.509141
\(475\) 8.02975e6 + 1.66740e7i 0.0749241 + 0.155581i
\(476\) −2.75916e6 + 206771.i −0.0255833 + 0.00191720i
\(477\) −2.81611e7 + 3.53129e7i −0.259475 + 0.325371i
\(478\) −1.39172e7 4.51183e7i −0.127429 0.413114i
\(479\) −3.46509e7 6.00171e7i −0.315288 0.546095i 0.664211 0.747545i \(-0.268768\pi\)
−0.979499 + 0.201451i \(0.935434\pi\)
\(480\) 3.01696e7 + 1.74184e7i 0.272801 + 0.157502i
\(481\) −1.83024e8 4.17741e7i −1.64465 0.375381i
\(482\) −1.12960e8 + 1.70260e7i −1.00875 + 0.152044i
\(483\) −7.10516e7 + 6.59262e7i −0.630569 + 0.585082i
\(484\) 2.93129e7 + 3.67572e7i 0.258537 + 0.324195i
\(485\) −2.12700e7 + 3.11974e7i −0.186442 + 0.273460i
\(486\) 6.57539e7 + 6.10107e7i 0.572813 + 0.531493i
\(487\) −9.34420e6 + 1.24690e8i −0.0809012 + 1.07955i 0.798035 + 0.602612i \(0.205873\pi\)
−0.878936 + 0.476940i \(0.841746\pi\)
\(488\) 4.43081e7 + 1.12895e8i 0.381262 + 0.971439i
\(489\) 1.12981e7 + 4.95001e7i 0.0966223 + 0.423330i
\(490\) −1.13405e7 3.49808e6i −0.0963926 0.0297332i
\(491\) −6.90742e7 1.01313e8i −0.583541 0.855898i 0.415004 0.909820i \(-0.363780\pi\)
−0.998545 + 0.0539218i \(0.982828\pi\)
\(492\) −3.88427e6 + 2.57704e7i −0.0326147 + 0.216384i
\(493\) −9.65830e6 3.79060e6i −0.0806046 0.0316350i
\(494\) 5.46255e7 + 2.63062e7i 0.453121 + 0.218212i
\(495\) 4.34494e7 9.02236e7i 0.358235 0.743883i
\(496\) −6.46351e6 + 1.64687e7i −0.0529692 + 0.134963i
\(497\) −1.63249e8 2.46059e7i −1.32979 0.200433i
\(498\) 1.26482e7 8.62341e6i 0.102410 0.0698218i
\(499\) −1.49485e7 + 4.84617e7i −0.120308 + 0.390029i −0.995616 0.0935372i \(-0.970183\pi\)
0.875308 + 0.483566i \(0.160659\pi\)
\(500\) 5.66885e7 1.29388e7i 0.453508 0.103510i
\(501\) 1.05744e8 4.15013e7i 0.840893 0.330026i
\(502\) 1.10823e8 + 8.30505e6i 0.876031 + 0.0656494i
\(503\) 2.61053e6 2.81348e6i 0.0205128 0.0221075i −0.722712 0.691149i \(-0.757105\pi\)
0.743225 + 0.669042i \(0.233295\pi\)
\(504\) −7.74469e7 5.28024e7i −0.604940 0.412441i
\(505\) 4.92055e7 3.92401e7i 0.382067 0.304688i
\(506\) 1.74187e8 + 1.87729e8i 1.34451 + 1.44903i
\(507\) −1.05236e7 6.98193e7i −0.0807493 0.535737i
\(508\) 1.86401e7 8.16677e7i 0.142186 0.622959i
\(509\) −1.25933e8 + 2.18122e8i −0.954960 + 1.65404i −0.220501 + 0.975387i \(0.570769\pi\)
−0.734459 + 0.678653i \(0.762564\pi\)
\(510\) −2.29043e6 + 1.32238e6i −0.0172666 + 0.00996889i
\(511\) 6.76589e7 2.08700e7i 0.507064 0.156408i
\(512\) −7.61677e7 6.07418e7i −0.567494 0.452561i
\(513\) 4.11784e6 + 5.49488e7i 0.0305013 + 0.407011i
\(514\) −1.09950e8 + 5.29489e7i −0.809663 + 0.389913i
\(515\) 3.17426e7i 0.232392i
\(516\) 2.87754e7 7.65642e6i 0.209446 0.0557284i
\(517\) −2.34516e8 −1.69708
\(518\) −4.87741e7 1.01280e8i −0.350913 0.728679i
\(519\) 3.65090e7 2.73597e6i 0.261155 0.0195708i
\(520\) 1.07805e8 1.35183e8i 0.766705 0.961418i
\(521\) 3.19021e7 + 1.03424e8i 0.225583 + 0.731322i 0.995634 + 0.0933402i \(0.0297544\pi\)
−0.770051 + 0.637982i \(0.779769\pi\)
\(522\) −5.26645e7 9.12177e7i −0.370260 0.641309i
\(523\) −1.68851e8 9.74864e7i −1.18032 0.681458i −0.224231 0.974536i \(-0.571987\pi\)
−0.956089 + 0.293078i \(0.905320\pi\)
\(524\) 4.21421e7 + 9.61867e6i 0.292902 + 0.0668530i
\(525\) 2.46922e7 3.72174e6i 0.170640 0.0257199i
\(526\) −4.31170e7 + 4.00068e7i −0.296273 + 0.274901i
\(527\) 2.23625e6 + 2.80416e6i 0.0152787 + 0.0191589i
\(528\) 2.29283e7 3.36297e7i 0.155765 0.228466i
\(529\) −2.67874e8 2.48550e8i −1.80952 1.67899i
\(530\) 3.72827e6 4.97503e7i 0.0250426 0.334170i
\(531\) −5.66312e7 1.44294e8i −0.378244 0.963751i
\(532\) −6.04198e6 2.64716e7i −0.0401277 0.175811i
\(533\) 2.10169e8 + 6.48286e7i 1.38799 + 0.428139i
\(534\) 4.82809e7 + 7.08150e7i 0.317067 + 0.465052i
\(535\) −1.67788e6 + 1.11320e7i −0.0109572 + 0.0726961i
\(536\) 3.04309e8 + 1.19432e8i 1.97615 + 0.775582i
\(537\) −3.27846e7 1.57882e7i −0.211713 0.101956i
\(538\) −6.51078e7 + 1.35198e8i −0.418106 + 0.868205i
\(539\) 1.35275e7 3.44675e7i 0.0863875 0.220112i
\(540\) 4.65644e7 + 7.01845e6i 0.295714 + 0.0445718i
\(541\) 1.25051e8 8.52584e7i 0.789761 0.538450i −0.0999402 0.994993i \(-0.531865\pi\)
0.889701 + 0.456544i \(0.150913\pi\)
\(542\) 2.51784e7 8.16265e7i 0.158136 0.512665i
\(543\) −9.69589e7 + 2.21302e7i −0.605603 + 0.138225i
\(544\) −7.74285e6 + 3.03884e6i −0.0480955 + 0.0188761i
\(545\) −1.30649e8 9.79079e6i −0.807080 0.0604823i
\(546\) 5.56433e7 5.99692e7i 0.341850 0.368426i
\(547\) 1.33329e8 + 9.09020e7i 0.814633 + 0.555407i 0.897429 0.441159i \(-0.145433\pi\)
−0.0827959 + 0.996567i \(0.526385\pi\)
\(548\) 6.54698e7 5.22104e7i 0.397832 0.317260i
\(549\) 8.08479e7 + 8.71333e7i 0.488598 + 0.526583i
\(550\) −9.83338e6 6.52402e7i −0.0591037 0.392128i
\(551\) 2.26566e7 9.92652e7i 0.135438 0.593393i
\(552\) −8.56822e7 + 1.48406e8i −0.509417 + 0.882336i
\(553\) 1.77473e8 1.02464e8i 1.04944 0.605894i
\(554\) −9.62986e7 + 2.97042e7i −0.566358 + 0.174698i
\(555\) 6.28298e7 + 5.01051e7i 0.367525 + 0.293091i
\(556\) −392483. 5.23732e6i −0.00228348 0.0304709i
\(557\) −2.21905e8 + 1.06864e8i −1.28411 + 0.618394i −0.946443 0.322872i \(-0.895352\pi\)
−0.337666 + 0.941266i \(0.609637\pi\)
\(558\) 3.64107e7i 0.209568i
\(559\) −2.76990e7 2.49762e8i −0.158573 1.42985i
\(560\) 4.93055e7 0.280757
\(561\) −3.58023e6 7.43443e6i −0.0202779 0.0421075i
\(562\) −1.38917e8 + 1.04104e7i −0.782610 + 0.0586485i
\(563\) 1.62948e8 2.04330e8i 0.913110 1.14500i −0.0758936 0.997116i \(-0.524181\pi\)
0.989004 0.147888i \(-0.0472476\pi\)
\(564\) −1.38610e7 4.49361e7i −0.0772602 0.250471i
\(565\) −2.74468e7 4.75392e7i −0.152176 0.263576i
\(566\) −3.01971e7 1.74343e7i −0.166539 0.0961514i
\(567\) −4.79879e7 1.09529e7i −0.263258 0.0600870i
\(568\) −2.88624e8 + 4.35031e7i −1.57503 + 0.237397i
\(569\) 1.13195e8 1.05030e8i 0.614457 0.570133i −0.310325 0.950631i \(-0.600438\pi\)
0.924782 + 0.380498i \(0.124247\pi\)
\(570\) −1.61820e7 2.02915e7i −0.0873789 0.109570i
\(571\) 2.63417e7 3.86362e7i 0.141493 0.207532i −0.748950 0.662626i \(-0.769442\pi\)
0.890444 + 0.455094i \(0.150394\pi\)
\(572\) 1.18503e8 + 1.09954e8i 0.633199 + 0.587523i
\(573\) 1.54978e6 2.06804e7i 0.00823772 0.109925i
\(574\) 4.81153e7 + 1.22596e8i 0.254418 + 0.648246i
\(575\) 2.94357e7 + 1.28966e8i 0.154835 + 0.678378i
\(576\) −1.33504e8 4.11804e7i −0.698595 0.215488i
\(577\) −1.79795e8 2.63710e8i −0.935943 1.37278i −0.927908 0.372809i \(-0.878395\pi\)
−0.00803512 0.999968i \(-0.502558\pi\)
\(578\) −2.16747e7 + 1.43802e8i −0.112246 + 0.744701i
\(579\) −5.51646e7 2.16505e7i −0.284200 0.111540i
\(580\) −7.83956e7 3.77533e7i −0.401798 0.193496i
\(581\) −2.51030e7 + 5.21269e7i −0.127996 + 0.265787i
\(582\) −1.15392e7 + 2.94015e7i −0.0585340 + 0.149142i
\(583\) 1.53916e8 + 2.31991e7i 0.776745 + 0.117075i
\(584\) 1.03430e8 7.05177e7i 0.519290 0.354046i
\(585\) 4.99500e7 1.61934e8i 0.249499 0.808855i
\(586\) −1.90609e8 + 4.35052e7i −0.947219 + 0.216196i
\(587\) 1.34790e7 5.29013e6i 0.0666414 0.0261548i −0.331786 0.943355i \(-0.607651\pi\)
0.398428 + 0.917200i \(0.369556\pi\)
\(588\) 7.40391e6 + 554847.i 0.0364191 + 0.00272923i
\(589\) −2.39400e7 + 2.58012e7i −0.117160 + 0.126268i
\(590\) 1.41467e8 + 9.64502e7i 0.688807 + 0.469621i
\(591\) −4.23665e7 + 3.37862e7i −0.205239 + 0.163673i
\(592\) −6.43759e7 6.93807e7i −0.310283 0.334405i
\(593\) 5.79406e7 + 3.84411e8i 0.277855 + 1.84345i 0.496991 + 0.867756i \(0.334438\pi\)
−0.219136 + 0.975694i \(0.570324\pi\)
\(594\) 4.37130e7 1.91519e8i 0.208569 0.913803i
\(595\) 4.99788e6 8.65658e6i 0.0237266 0.0410956i
\(596\) −5.73363e6 + 3.31031e6i −0.0270827 + 0.0156362i
\(597\) −5.50031e7 + 1.69662e7i −0.258502 + 0.0797373i
\(598\) 3.38823e8 + 2.70202e8i 1.58442 + 1.26353i
\(599\) −6.16180e6 8.22235e7i −0.0286700 0.382574i −0.993020 0.117945i \(-0.962369\pi\)
0.964350 0.264629i \(-0.0852496\pi\)
\(600\) 3.97767e7 1.91554e7i 0.184151 0.0886825i
\(601\) 2.71590e8i 1.25110i 0.780185 + 0.625548i \(0.215125\pi\)
−0.780185 + 0.625548i \(0.784875\pi\)
\(602\) 1.06587e8 1.06215e8i 0.488556 0.486850i
\(603\) 3.20397e8 1.46129
\(604\) 6.50848e6 + 1.35150e7i 0.0295371 + 0.0613345i
\(605\) −1.69369e8 + 1.26925e7i −0.764837 + 0.0573166i
\(606\) 3.28243e7 4.11604e7i 0.147495 0.184953i
\(607\) 3.97770e7 + 1.28954e8i 0.177855 + 0.576591i 0.999974 + 0.00727492i \(0.00231570\pi\)
−0.822119 + 0.569316i \(0.807208\pi\)
\(608\) −4.08126e7 7.06896e7i −0.181587 0.314517i
\(609\) −1.18977e8 6.86915e7i −0.526759 0.304124i
\(610\) −1.28001e8 2.92153e7i −0.563927 0.128713i
\(611\) −3.92427e8 + 5.91489e7i −1.72042 + 0.259312i
\(612\) −3.51459e6 + 3.26107e6i −0.0153328 + 0.0142267i
\(613\) −1.56419e8 1.96143e8i −0.679061 0.851515i 0.316206 0.948690i \(-0.397591\pi\)
−0.995267 + 0.0971750i \(0.969019\pi\)
\(614\) 2.96288e7 4.34574e7i 0.128000 0.187741i
\(615\) −6.90170e7 6.40384e7i −0.296709 0.275306i
\(616\) −2.41399e7 + 3.22124e8i −0.103274 + 1.37810i
\(617\) 8.45916e7 + 2.15536e8i 0.360140 + 0.917623i 0.990020 + 0.140930i \(0.0450092\pi\)
−0.629879 + 0.776693i \(0.716896\pi\)
\(618\) −5.90853e6 2.58869e7i −0.0250330 0.109677i
\(619\) 1.52781e8 + 4.71266e7i 0.644165 + 0.198698i 0.599590 0.800308i \(-0.295330\pi\)
0.0445749 + 0.999006i \(0.485807\pi\)
\(620\) 1.69441e7 + 2.48524e7i 0.0710956 + 0.104278i
\(621\) −5.87027e7 + 3.89467e8i −0.245123 + 1.62628i
\(622\) 1.86804e7 + 7.33151e6i 0.0776274 + 0.0304665i
\(623\) −2.91849e8 1.40547e8i −1.20696 0.581243i
\(624\) 2.98851e7 6.20571e7i 0.122999 0.255410i
\(625\) −4.34188e7 + 1.10629e8i −0.177843 + 0.453138i
\(626\) 8.44776e7 + 1.27330e7i 0.344365 + 0.0519046i
\(627\) 6.69049e7 4.56150e7i 0.271429 0.185057i
\(628\) 1.28626e7 4.16996e7i 0.0519339 0.168365i
\(629\) −1.87067e7 + 4.26968e6i −0.0751700 + 0.0171571i
\(630\) 9.44593e7 3.70725e7i 0.377766 0.148262i
\(631\) 3.97513e8 + 2.97895e7i 1.58221 + 0.118570i 0.836600 0.547814i \(-0.184540\pi\)
0.745608 + 0.666384i \(0.232159\pi\)
\(632\) 2.46435e8 2.65594e8i 0.976228 1.05212i
\(633\) −5.14919e7 3.51066e7i −0.203015 0.138413i
\(634\) 1.32672e8 1.05803e8i 0.520610 0.415172i
\(635\) 2.05835e8 + 2.21837e8i 0.803892 + 0.866390i
\(636\) 4.65190e6 + 3.08633e7i 0.0180825 + 0.119970i
\(637\) 1.39429e7 6.10879e7i 0.0539431 0.236340i
\(638\) −1.81493e8 + 3.14355e8i −0.698872 + 1.21048i
\(639\) −2.47746e8 + 1.43036e8i −0.949520 + 0.548205i
\(640\) −8.31959e6 + 2.56625e6i −0.0317367 + 0.00978948i
\(641\) −9.91064e7 7.90347e7i −0.376294 0.300085i 0.417020 0.908897i \(-0.363075\pi\)
−0.793314 + 0.608813i \(0.791646\pi\)
\(642\) 703740. + 9.39076e6i 0.00265954 + 0.0354891i
\(643\) 3.69877e8 1.78124e8i 1.39131 0.670021i 0.419934 0.907555i \(-0.362053\pi\)
0.971379 + 0.237534i \(0.0763390\pi\)
\(644\) 1.94081e8i 0.726650i
\(645\) −3.57062e7 + 1.01473e8i −0.133065 + 0.378155i
\(646\) 6.19689e6 0.0229867
\(647\) 1.99624e8 + 4.14523e8i 0.737054 + 1.53051i 0.844059 + 0.536250i \(0.180160\pi\)
−0.107005 + 0.994258i \(0.534126\pi\)
\(648\) −8.67809e7 + 6.50333e6i −0.318933 + 0.0239007i
\(649\) −3.33064e8 + 4.17649e8i −1.21841 + 1.52784i
\(650\) −3.29093e7 1.06689e8i −0.119834 0.388492i
\(651\) 2.37456e7 + 4.11286e7i 0.0860677 + 0.149074i
\(652\) −8.80455e7 5.08331e7i −0.317662 0.183402i
\(653\) 1.13738e8 + 2.59599e7i 0.408474 + 0.0932316i 0.421820 0.906679i \(-0.361391\pi\)
−0.0133463 + 0.999911i \(0.504248\pi\)
\(654\) −1.08370e8 + 1.63342e7i −0.387416 + 0.0583935i
\(655\) −1.14472e8 + 1.06215e8i −0.407359 + 0.377974i
\(656\) 6.91356e7 + 8.66933e7i 0.244901 + 0.307096i
\(657\) 6.91136e7 1.01371e8i 0.243707 0.357452i
\(658\) −1.74201e8 1.61635e8i −0.611468 0.567360i
\(659\) 7.94886e6 1.06070e8i 0.0277746 0.370627i −0.965947 0.258742i \(-0.916692\pi\)
0.993721 0.111885i \(-0.0356888\pi\)
\(660\) −2.52818e7 6.44170e7i −0.0879380 0.224062i
\(661\) 5.46925e6 + 2.39624e7i 0.0189375 + 0.0829708i 0.983514 0.180834i \(-0.0578797\pi\)
−0.964576 + 0.263805i \(0.915023\pi\)
\(662\) 3.07263e7 + 9.47780e6i 0.105910 + 0.0326688i
\(663\) −7.86606e6 1.15374e7i −0.0269909 0.0395883i
\(664\) −1.52456e7 + 1.01148e8i −0.0520762 + 0.345503i
\(665\) 9.13106e7 + 3.58368e7i 0.310496 + 0.121861i
\(666\) −1.75498e8 8.45154e7i −0.594087 0.286097i
\(667\) 3.15771e8 6.55705e8i 1.06413 2.20969i
\(668\) −8.31008e7 + 2.11737e8i −0.278789 + 0.710343i
\(669\) 2.48922e8 + 3.75190e7i 0.831353 + 0.125306i
\(670\) −2.92405e8 + 1.99359e8i −0.972212 + 0.662843i
\(671\) 1.20740e8 3.91430e8i 0.399654 1.29565i
\(672\) −1.07376e8 + 2.45078e7i −0.353832 + 0.0807599i
\(673\) 2.74715e8 1.07818e8i 0.901234 0.353708i 0.130935 0.991391i \(-0.458202\pi\)
0.770299 + 0.637683i \(0.220107\pi\)
\(674\) 2.40373e7 + 1.80135e6i 0.0785066 + 0.00588325i
\(675\) 6.90186e7 7.43843e7i 0.224416 0.241863i
\(676\) 1.16816e8 + 7.96438e7i 0.378149 + 0.257817i
\(677\) −1.44569e8 + 1.15290e8i −0.465918 + 0.371557i −0.828128 0.560539i \(-0.810594\pi\)
0.362210 + 0.932097i \(0.382022\pi\)
\(678\) −3.12325e7 3.36606e7i −0.100211 0.108002i
\(679\) −1.77917e7 1.18040e8i −0.0568339 0.377068i
\(680\) 3.93249e6 1.72294e7i 0.0125067 0.0547953i
\(681\) 1.16267e8 2.01380e8i 0.368141 0.637638i
\(682\) 1.08668e8 6.27393e7i 0.342568 0.197782i
\(683\) 2.14876e8 6.62805e7i 0.674413 0.208029i 0.0614137 0.998112i \(-0.480439\pi\)
0.612999 + 0.790084i \(0.289963\pi\)
\(684\) −3.67848e7 2.93349e7i −0.114948 0.0916677i
\(685\) 2.26071e7 + 3.01671e8i 0.0703353 + 0.938560i
\(686\) 2.34415e8 1.12888e8i 0.726126 0.349684i
\(687\) 7.72088e7i 0.238120i
\(688\) 5.93949e7 1.11906e8i 0.182383 0.343629i
\(689\) 2.63406e8 0.805320
\(690\) −8.04914e7 1.67142e8i −0.245020 0.508790i
\(691\) −5.73377e8 + 4.29687e7i −1.73783 + 0.130232i −0.905580 0.424176i \(-0.860564\pi\)
−0.832245 + 0.554408i \(0.812945\pi\)
\(692\) −4.57076e7 + 5.73156e7i −0.137934 + 0.172963i
\(693\) 9.33181e7 + 3.02530e8i 0.280392 + 0.909010i
\(694\) −3.32076e7 5.75173e7i −0.0993481 0.172076i
\(695\) 1.64315e7 + 9.48675e6i 0.0489467 + 0.0282594i
\(696\) −2.36803e8 5.40487e7i −0.702359 0.160309i
\(697\) 2.22287e7 3.35044e6i 0.0656473 0.00989473i
\(698\) 9.95609e7 9.23790e7i 0.292767 0.271648i
\(699\) −7.34053e7 9.20473e7i −0.214929 0.269513i
\(700\) −2.81667e7 + 4.13129e7i −0.0821186 + 0.120446i
\(701\) 6.81651e7 + 6.32480e7i 0.197883 + 0.183608i 0.772890 0.634540i \(-0.218810\pi\)
−0.575007 + 0.818148i \(0.695001\pi\)
\(702\) 2.48427e7 3.31503e8i 0.0718105 0.958244i
\(703\) −6.87919e7 1.75279e8i −0.198003 0.504503i
\(704\) 1.07137e8 + 4.69400e8i 0.307060 + 1.34532i
\(705\) 1.62337e8 + 5.00743e7i 0.463287 + 0.142905i
\(706\) −1.72007e8 2.52288e8i −0.488800 0.716939i
\(707\) −2.96554e7 + 1.96751e8i −0.0839162 + 0.556748i
\(708\) −9.97122e7 3.91341e7i −0.280963 0.110270i
\(709\) −4.61965e8 2.22471e8i −1.29620 0.624215i −0.346694 0.937978i \(-0.612696\pi\)
−0.949501 + 0.313763i \(0.898410\pi\)
\(710\) 1.37101e8 2.84693e8i 0.383058 0.795429i
\(711\) 1.29732e8 3.30552e8i 0.360943 0.919667i
\(712\) −5.66307e8 8.53570e7i −1.56896 0.236483i
\(713\) −2.07867e8 + 1.41721e8i −0.573477 + 0.390990i
\(714\) 2.46458e6 7.98998e6i 0.00677093 0.0219508i
\(715\) −5.69362e8 + 1.29953e8i −1.55765 + 0.355524i
\(716\) 6.78258e7 2.66197e7i 0.184780 0.0725209i
\(717\) −1.06415e8 7.97474e6i −0.288700 0.0216351i
\(718\) −1.29744e7 + 1.39831e7i −0.0350520 + 0.0377771i
\(719\) 8.95178e7 + 6.10322e7i 0.240837 + 0.164200i 0.677724 0.735317i \(-0.262967\pi\)
−0.436887 + 0.899516i \(0.643919\pi\)
\(720\) 6.67967e7 5.32686e7i 0.178961 0.142716i
\(721\) 6.82584e7 + 7.35650e7i 0.182117 + 0.196275i
\(722\) −3.33655e7 2.21365e8i −0.0886514 0.588164i
\(723\) −5.74519e7 + 2.51713e8i −0.152016 + 0.666026i
\(724\) 9.95701e7 1.72460e8i 0.262369 0.454437i
\(725\) −1.62378e8 + 9.37491e7i −0.426102 + 0.246010i
\(726\) −1.35763e8 + 4.18773e7i −0.354790 + 0.109438i
\(727\) 3.82659e8 + 3.05160e8i 0.995883 + 0.794191i 0.978623 0.205660i \(-0.0659343\pi\)
0.0172600 + 0.999851i \(0.494506\pi\)
\(728\) 4.08507e7 + 5.45114e8i 0.105878 + 1.41284i
\(729\) 7.92887e7 3.81834e7i 0.204658 0.0985582i
\(730\) 1.35519e8i 0.348361i
\(731\) −1.36268e7 2.17714e7i −0.0348853 0.0557359i
\(732\) 8.21390e7 0.209419
\(733\) −2.57340e8 5.34372e8i −0.653425 1.35685i −0.919573 0.392919i \(-0.871465\pi\)
0.266148 0.963932i \(-0.414249\pi\)
\(734\) 3.51938e8 2.63741e7i 0.889976 0.0666945i
\(735\) −1.67236e7 + 2.09707e7i −0.0421179 + 0.0528142i
\(736\) −1.71973e8 5.57523e8i −0.431347 1.39839i
\(737\) −5.52078e8 9.56227e8i −1.37911 2.38868i
\(738\) 1.97634e8 + 1.14104e8i 0.491692 + 0.283878i
\(739\) −2.03066e8 4.63484e7i −0.503157 0.114842i −0.0365937 0.999330i \(-0.511651\pi\)
−0.466563 + 0.884488i \(0.654508\pi\)
\(740\) −1.59118e8 + 2.39831e7i −0.392666 + 0.0591849i
\(741\) 1.00450e8 9.32043e7i 0.246886 0.229077i
\(742\) 9.83411e7 + 1.23316e8i 0.240726 + 0.301861i
\(743\) −1.08558e8 + 1.59226e8i −0.264665 + 0.388193i −0.935450 0.353460i \(-0.885005\pi\)
0.670784 + 0.741652i \(0.265958\pi\)
\(744\) 6.15502e7 + 5.71102e7i 0.149455 + 0.138674i
\(745\) 1.78738e6 2.38509e7i 0.00432263 0.0576815i
\(746\) 5.09753e7 + 1.29883e8i 0.122784 + 0.312849i
\(747\) 2.23085e7 + 9.77398e7i 0.0535190 + 0.234482i
\(748\) 1.57887e7 + 4.87016e6i 0.0377260 + 0.0116369i
\(749\) −2.00493e7 2.94070e7i −0.0477150 0.0699850i
\(750\) −2.61891e7 + 1.73753e8i −0.0620778 + 0.411859i
\(751\) 6.12089e8 + 2.40227e8i 1.44509 + 0.567156i 0.952887 0.303325i \(-0.0980967\pi\)
0.492203 + 0.870481i \(0.336192\pi\)
\(752\) −1.80266e8 8.68117e7i −0.423898 0.204138i