Properties

Label 43.7.d.a.37.19
Level 43
Weight 7
Character 43.37
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 37.19
Character \(\chi\) \(=\) 43.37
Dual form 43.7.d.a.7.3

$q$-expansion

\(f(q)\) \(=\) \(q+12.4749i q^{2} +(3.88212 + 2.24134i) q^{3} -91.6224 q^{4} +(-151.098 - 87.2364i) q^{5} +(-27.9605 + 48.4289i) q^{6} +(378.610 - 218.590i) q^{7} -344.585i q^{8} +(-354.453 - 613.930i) q^{9} +O(q^{10})\) \(q+12.4749i q^{2} +(3.88212 + 2.24134i) q^{3} -91.6224 q^{4} +(-151.098 - 87.2364i) q^{5} +(-27.9605 + 48.4289i) q^{6} +(378.610 - 218.590i) q^{7} -344.585i q^{8} +(-354.453 - 613.930i) q^{9} +(1088.26 - 1884.93i) q^{10} -420.318 q^{11} +(-355.689 - 205.357i) q^{12} +(-379.357 - 657.066i) q^{13} +(2726.89 + 4723.11i) q^{14} +(-391.053 - 677.324i) q^{15} -1565.17 q^{16} +(-92.2559 - 159.792i) q^{17} +(7658.70 - 4421.75i) q^{18} +(-703.023 - 405.891i) q^{19} +(13844.0 + 7992.81i) q^{20} +1959.74 q^{21} -5243.41i q^{22} +(6480.89 - 11225.2i) q^{23} +(772.334 - 1337.72i) q^{24} +(7407.89 + 12830.8i) q^{25} +(8196.81 - 4732.43i) q^{26} -6445.68i q^{27} +(-34689.1 + 20027.8i) q^{28} +(-30832.9 + 17801.4i) q^{29} +(8449.53 - 4878.34i) q^{30} +(13582.6 - 23525.7i) q^{31} -41578.8i q^{32} +(-1631.72 - 942.077i) q^{33} +(1993.38 - 1150.88i) q^{34} -76276.2 q^{35} +(32475.8 + 56249.7i) q^{36} +(-60406.5 - 34875.7i) q^{37} +(5063.43 - 8770.12i) q^{38} -3401.08i q^{39} +(-30060.4 + 52066.2i) q^{40} -111493. q^{41} +24447.6i q^{42} +(40434.4 - 68457.4i) q^{43} +38510.5 q^{44} +123685. i q^{45} +(140033. + 80848.3i) q^{46} +135508. q^{47} +(-6076.19 - 3508.09i) q^{48} +(36739.1 - 63634.0i) q^{49} +(-160063. + 92412.4i) q^{50} -827.108i q^{51} +(34757.6 + 60201.9i) q^{52} +(-75410.1 + 130614. i) q^{53} +80409.0 q^{54} +(63509.2 + 36667.0i) q^{55} +(-75323.1 - 130463. i) q^{56} +(-1819.48 - 3151.43i) q^{57} +(-222070. - 384637. i) q^{58} -61299.5 q^{59} +(35829.2 + 62058.1i) q^{60} +(76693.0 - 44278.7i) q^{61} +(293480. + 169441. i) q^{62} +(-268399. - 154960. i) q^{63} +418519. q^{64} +132375. i q^{65} +(11752.3 - 20355.5i) q^{66} +(117617. - 203719. i) q^{67} +(8452.70 + 14640.5i) q^{68} +(50319.2 - 29051.8i) q^{69} -951536. i q^{70} +(-105906. + 61144.9i) q^{71} +(-211551. + 122139. i) q^{72} +(-297679. + 171865. i) q^{73} +(435070. - 753563. i) q^{74} +66414.5i q^{75} +(64412.6 + 37188.7i) q^{76} +(-159137. + 91877.5i) q^{77} +42428.0 q^{78} +(435438. + 754200. i) q^{79} +(236494. + 136540. i) q^{80} +(-243949. + 422532. i) q^{81} -1.39086e6i q^{82} +(-420483. + 728298. i) q^{83} -179556. q^{84} +32192.3i q^{85} +(853998. + 504414. i) q^{86} -159596. q^{87} +144835. i q^{88} +(672657. + 388359. i) q^{89} -1.54295e6 q^{90} +(-287257. - 165848. i) q^{91} +(-593795. + 1.02848e6i) q^{92} +(105458. - 60886.4i) q^{93} +1.69045e6i q^{94} +(70816.9 + 122658. i) q^{95} +(93192.3 - 161414. i) q^{96} +1.04611e6 q^{97} +(793826. + 458315. i) q^{98} +(148983. + 258046. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 12.4749i 1.55936i 0.626179 + 0.779679i \(0.284618\pi\)
−0.626179 + 0.779679i \(0.715382\pi\)
\(3\) 3.88212 + 2.24134i 0.143782 + 0.0830127i 0.570165 0.821530i \(-0.306879\pi\)
−0.426383 + 0.904543i \(0.640212\pi\)
\(4\) −91.6224 −1.43160
\(5\) −151.098 87.2364i −1.20878 0.697891i −0.246290 0.969196i \(-0.579212\pi\)
−0.962493 + 0.271305i \(0.912545\pi\)
\(6\) −27.9605 + 48.4289i −0.129447 + 0.224208i
\(7\) 378.610 218.590i 1.10382 0.637290i 0.166597 0.986025i \(-0.446722\pi\)
0.937221 + 0.348735i \(0.113389\pi\)
\(8\) 344.585i 0.673019i
\(9\) −354.453 613.930i −0.486218 0.842154i
\(10\) 1088.26 1884.93i 1.08826 1.88493i
\(11\) −420.318 −0.315791 −0.157896 0.987456i \(-0.550471\pi\)
−0.157896 + 0.987456i \(0.550471\pi\)
\(12\) −355.689 205.357i −0.205839 0.118841i
\(13\) −379.357 657.066i −0.172670 0.299074i 0.766682 0.642027i \(-0.221906\pi\)
−0.939353 + 0.342953i \(0.888573\pi\)
\(14\) 2726.89 + 4723.11i 0.993764 + 1.72125i
\(15\) −391.053 677.324i −0.115868 0.200689i
\(16\) −1565.17 −0.382122
\(17\) −92.2559 159.792i −0.0187779 0.0325243i 0.856484 0.516174i \(-0.172644\pi\)
−0.875262 + 0.483650i \(0.839311\pi\)
\(18\) 7658.70 4421.75i 1.31322 0.758188i
\(19\) −703.023 405.891i −0.102496 0.0591763i 0.447876 0.894096i \(-0.352181\pi\)
−0.550372 + 0.834920i \(0.685514\pi\)
\(20\) 13844.0 + 7992.81i 1.73049 + 0.999101i
\(21\) 1959.74 0.211613
\(22\) 5243.41i 0.492432i
\(23\) 6480.89 11225.2i 0.532661 0.922597i −0.466611 0.884463i \(-0.654525\pi\)
0.999273 0.0381342i \(-0.0121414\pi\)
\(24\) 772.334 1337.72i 0.0558691 0.0967681i
\(25\) 7407.89 + 12830.8i 0.474105 + 0.821174i
\(26\) 8196.81 4732.43i 0.466364 0.269255i
\(27\) 6445.68i 0.327474i
\(28\) −34689.1 + 20027.8i −1.58023 + 0.912344i
\(29\) −30832.9 + 17801.4i −1.26422 + 0.729895i −0.973887 0.227032i \(-0.927098\pi\)
−0.290328 + 0.956927i \(0.593764\pi\)
\(30\) 8449.53 4878.34i 0.312946 0.180679i
\(31\) 13582.6 23525.7i 0.455929 0.789692i −0.542812 0.839854i \(-0.682641\pi\)
0.998741 + 0.0501623i \(0.0159739\pi\)
\(32\) 41578.8i 1.26888i
\(33\) −1631.72 942.077i −0.0454051 0.0262147i
\(34\) 1993.38 1150.88i 0.0507171 0.0292815i
\(35\) −76276.2 −1.77904
\(36\) 32475.8 + 56249.7i 0.696069 + 1.20563i
\(37\) −60406.5 34875.7i −1.19255 0.688522i −0.233669 0.972316i \(-0.575073\pi\)
−0.958885 + 0.283794i \(0.908407\pi\)
\(38\) 5063.43 8770.12i 0.0922771 0.159829i
\(39\) 3401.08i 0.0573353i
\(40\) −30060.4 + 52066.2i −0.469694 + 0.813534i
\(41\) −111493. −1.61769 −0.808843 0.588024i \(-0.799906\pi\)
−0.808843 + 0.588024i \(0.799906\pi\)
\(42\) 24447.6i 0.329980i
\(43\) 40434.4 68457.4i 0.508564 0.861024i
\(44\) 38510.5 0.452086
\(45\) 123685.i 1.35731i
\(46\) 140033. + 80848.3i 1.43866 + 0.830610i
\(47\) 135508. 1.30518 0.652592 0.757709i \(-0.273681\pi\)
0.652592 + 0.757709i \(0.273681\pi\)
\(48\) −6076.19 3508.09i −0.0549424 0.0317210i
\(49\) 36739.1 63634.0i 0.312277 0.540880i
\(50\) −160063. + 92412.4i −1.28050 + 0.739300i
\(51\) 827.108i 0.00623522i
\(52\) 34757.6 + 60201.9i 0.247195 + 0.428154i
\(53\) −75410.1 + 130614.i −0.506526 + 0.877330i 0.493445 + 0.869777i \(0.335737\pi\)
−0.999971 + 0.00755259i \(0.997596\pi\)
\(54\) 80409.0 0.510650
\(55\) 63509.2 + 36667.0i 0.381723 + 0.220388i
\(56\) −75323.1 130463.i −0.428908 0.742890i
\(57\) −1819.48 3151.43i −0.00982477 0.0170170i
\(58\) −222070. 384637.i −1.13817 1.97137i
\(59\) −61299.5 −0.298470 −0.149235 0.988802i \(-0.547681\pi\)
−0.149235 + 0.988802i \(0.547681\pi\)
\(60\) 35829.2 + 62058.1i 0.165876 + 0.287306i
\(61\) 76693.0 44278.7i 0.337883 0.195077i −0.321452 0.946926i \(-0.604171\pi\)
0.659336 + 0.751849i \(0.270838\pi\)
\(62\) 293480. + 169441.i 1.23141 + 0.710956i
\(63\) −268399. 154960.i −1.07339 0.619724i
\(64\) 418519. 1.59652
\(65\) 132375.i 0.482021i
\(66\) 11752.3 20355.5i 0.0408781 0.0708029i
\(67\) 117617. 203719.i 0.391062 0.677340i −0.601527 0.798852i \(-0.705441\pi\)
0.992590 + 0.121512i \(0.0387743\pi\)
\(68\) 8452.70 + 14640.5i 0.0268825 + 0.0465618i
\(69\) 50319.2 29051.8i 0.153174 0.0884353i
\(70\) 951536.i 2.77416i
\(71\) −105906. + 61144.9i −0.295901 + 0.170838i −0.640600 0.767875i \(-0.721314\pi\)
0.344699 + 0.938713i \(0.387981\pi\)
\(72\) −211551. + 122139.i −0.566785 + 0.327234i
\(73\) −297679. + 171865.i −0.765208 + 0.441793i −0.831162 0.556030i \(-0.812324\pi\)
0.0659546 + 0.997823i \(0.478991\pi\)
\(74\) 435070. 753563.i 1.07365 1.85962i
\(75\) 66414.5i 0.157427i
\(76\) 64412.6 + 37188.7i 0.146734 + 0.0847168i
\(77\) −159137. + 91877.5i −0.348576 + 0.201251i
\(78\) 42428.0 0.0894064
\(79\) 435438. + 754200.i 0.883171 + 1.52970i 0.847796 + 0.530323i \(0.177929\pi\)
0.0353750 + 0.999374i \(0.488737\pi\)
\(80\) 236494. + 136540.i 0.461903 + 0.266680i
\(81\) −243949. + 422532.i −0.459033 + 0.795069i
\(82\) 1.39086e6i 2.52255i
\(83\) −420483. + 728298.i −0.735385 + 1.27372i 0.219170 + 0.975687i \(0.429665\pi\)
−0.954554 + 0.298037i \(0.903668\pi\)
\(84\) −179556. −0.302945
\(85\) 32192.3i 0.0524198i
\(86\) 853998. + 504414.i 1.34265 + 0.793034i
\(87\) −159596. −0.242362
\(88\) 144835.i 0.212533i
\(89\) 672657. + 388359.i 0.954166 + 0.550888i 0.894372 0.447323i \(-0.147623\pi\)
0.0597931 + 0.998211i \(0.480956\pi\)
\(90\) −1.54295e6 −2.11653
\(91\) −287257. 165848.i −0.381194 0.220082i
\(92\) −593795. + 1.02848e6i −0.762558 + 1.32079i
\(93\) 105458. 60886.4i 0.131109 0.0756957i
\(94\) 1.69045e6i 2.03525i
\(95\) 70816.9 + 122658.i 0.0825973 + 0.143063i
\(96\) 93192.3 161414.i 0.105333 0.182443i
\(97\) 1.04611e6 1.14621 0.573104 0.819482i \(-0.305739\pi\)
0.573104 + 0.819482i \(0.305739\pi\)
\(98\) 793826. + 458315.i 0.843426 + 0.486952i
\(99\) 148983. + 258046.i 0.153543 + 0.265945i
\(100\) −678728. 1.17559e6i −0.678728 1.17559i
\(101\) 77737.1 + 134645.i 0.0754509 + 0.130685i 0.901282 0.433232i \(-0.142627\pi\)
−0.825831 + 0.563917i \(0.809294\pi\)
\(102\) 10318.1 0.00972294
\(103\) −776057. 1.34417e6i −0.710202 1.23011i −0.964781 0.263054i \(-0.915270\pi\)
0.254579 0.967052i \(-0.418063\pi\)
\(104\) −226415. + 130721.i −0.201282 + 0.116210i
\(105\) −296113. 170961.i −0.255794 0.147683i
\(106\) −1.62940e6 940732.i −1.36807 0.789856i
\(107\) −429685. −0.350751 −0.175376 0.984502i \(-0.556114\pi\)
−0.175376 + 0.984502i \(0.556114\pi\)
\(108\) 590568.i 0.468812i
\(109\) 1.00756e6 1.74515e6i 0.778023 1.34758i −0.155057 0.987906i \(-0.549556\pi\)
0.933080 0.359670i \(-0.117111\pi\)
\(110\) −457417. + 792269.i −0.343664 + 0.595243i
\(111\) −156337. 270783.i −0.114312 0.197994i
\(112\) −592590. + 342132.i −0.421794 + 0.243523i
\(113\) 1.00027e6i 0.693234i −0.938007 0.346617i \(-0.887330\pi\)
0.938007 0.346617i \(-0.112670\pi\)
\(114\) 39313.7 22697.8i 0.0265356 0.0153203i
\(115\) −1.95850e6 + 1.13074e6i −1.28774 + 0.743480i
\(116\) 2.82499e6 1.63101e6i 1.80985 1.04492i
\(117\) −268928. + 465797.i −0.167911 + 0.290830i
\(118\) 764703.i 0.465422i
\(119\) −69858.0 40332.5i −0.0414548 0.0239340i
\(120\) −233396. + 134751.i −0.135067 + 0.0779811i
\(121\) −1.59489e6 −0.900276
\(122\) 552372. + 956736.i 0.304195 + 0.526881i
\(123\) −432827. 249893.i −0.232595 0.134289i
\(124\) −1.24447e6 + 2.15548e6i −0.652707 + 1.13052i
\(125\) 141187.i 0.0722879i
\(126\) 1.93311e6 3.34824e6i 0.966371 1.67380i
\(127\) 3.35539e6 1.63807 0.819033 0.573746i \(-0.194511\pi\)
0.819033 + 0.573746i \(0.194511\pi\)
\(128\) 2.55993e6i 1.22067i
\(129\) 310408. 175133.i 0.144598 0.0815826i
\(130\) −1.65136e6 −0.751643
\(131\) 755149.i 0.335907i −0.985795 0.167953i \(-0.946284\pi\)
0.985795 0.167953i \(-0.0537158\pi\)
\(132\) 149502. + 86315.3i 0.0650020 + 0.0375289i
\(133\) −354895. −0.150850
\(134\) 2.54137e6 + 1.46726e6i 1.05622 + 0.609807i
\(135\) −562298. + 973928.i −0.228542 + 0.395846i
\(136\) −55062.0 + 31790.0i −0.0218895 + 0.0126379i
\(137\) 2.97394e6i 1.15657i −0.815836 0.578284i \(-0.803723\pi\)
0.815836 0.578284i \(-0.196277\pi\)
\(138\) 362417. + 627725.i 0.137902 + 0.238854i
\(139\) 995440. 1.72415e6i 0.370656 0.641995i −0.619011 0.785383i \(-0.712466\pi\)
0.989667 + 0.143388i \(0.0457996\pi\)
\(140\) 6.98861e6 2.54687
\(141\) 526059. + 303720.i 0.187662 + 0.108347i
\(142\) −762775. 1.32117e6i −0.266398 0.461415i
\(143\) 159451. + 276176.i 0.0545278 + 0.0944449i
\(144\) 554780. + 960907.i 0.185795 + 0.321806i
\(145\) 6.21173e6 2.03755
\(146\) −2.14399e6 3.71350e6i −0.688914 1.19323i
\(147\) 285251. 164690.i 0.0897998 0.0518459i
\(148\) 5.53458e6 + 3.19539e6i 1.70726 + 0.985687i
\(149\) −2.92354e6 1.68791e6i −0.883792 0.510258i −0.0118854 0.999929i \(-0.503783\pi\)
−0.871907 + 0.489672i \(0.837117\pi\)
\(150\) −828512. −0.245485
\(151\) 2.88050e6i 0.836638i 0.908300 + 0.418319i \(0.137381\pi\)
−0.908300 + 0.418319i \(0.862619\pi\)
\(152\) −139864. + 242252.i −0.0398268 + 0.0689820i
\(153\) −65400.7 + 113277.i −0.0182603 + 0.0316278i
\(154\) −1.14616e6 1.98521e6i −0.313822 0.543555i
\(155\) −4.10460e6 + 2.36979e6i −1.10224 + 0.636377i
\(156\) 311615.i 0.0820813i
\(157\) −2.33061e6 + 1.34558e6i −0.602240 + 0.347704i −0.769922 0.638137i \(-0.779705\pi\)
0.167682 + 0.985841i \(0.446372\pi\)
\(158\) −9.40855e6 + 5.43203e6i −2.38535 + 1.37718i
\(159\) −585502. + 338040.i −0.145659 + 0.0840962i
\(160\) −3.62719e6 + 6.28247e6i −0.885543 + 1.53381i
\(161\) 5.66665e6i 1.35784i
\(162\) −5.27103e6 3.04323e6i −1.23980 0.715798i
\(163\) −2.31373e6 + 1.33583e6i −0.534256 + 0.308453i −0.742748 0.669571i \(-0.766478\pi\)
0.208492 + 0.978024i \(0.433145\pi\)
\(164\) 1.02152e7 2.31588
\(165\) 164367. + 284692.i 0.0365900 + 0.0633757i
\(166\) −9.08543e6 5.24547e6i −1.98619 1.14673i
\(167\) 4.04438e6 7.00507e6i 0.868365 1.50405i 0.00469819 0.999989i \(-0.498505\pi\)
0.863667 0.504063i \(-0.168162\pi\)
\(168\) 675299.i 0.142419i
\(169\) 2.12558e6 3.68161e6i 0.440370 0.762743i
\(170\) −401595. −0.0817412
\(171\) 575476.i 0.115090i
\(172\) −3.70470e6 + 6.27223e6i −0.728060 + 1.23264i
\(173\) 2.84826e6 0.550099 0.275050 0.961430i \(-0.411306\pi\)
0.275050 + 0.961430i \(0.411306\pi\)
\(174\) 1.99094e6i 0.377930i
\(175\) 5.60940e6 + 3.23859e6i 1.04665 + 0.604285i
\(176\) 657870. 0.120671
\(177\) −237972. 137393.i −0.0429147 0.0247768i
\(178\) −4.84473e6 + 8.39131e6i −0.859032 + 1.48789i
\(179\) 1.93207e6 1.11548e6i 0.336871 0.194493i −0.322016 0.946734i \(-0.604361\pi\)
0.658888 + 0.752241i \(0.271027\pi\)
\(180\) 1.13323e7i 1.94312i
\(181\) −2.90981e6 5.03994e6i −0.490715 0.849943i 0.509228 0.860632i \(-0.329931\pi\)
−0.999943 + 0.0106883i \(0.996598\pi\)
\(182\) 2.06893e6 3.58349e6i 0.343187 0.594418i
\(183\) 396975. 0.0647754
\(184\) −3.86805e6 2.23322e6i −0.620925 0.358491i
\(185\) 6.08486e6 + 1.05393e7i 0.961027 + 1.66455i
\(186\) 759550. + 1.31558e6i 0.118037 + 0.204446i
\(187\) 38776.8 + 67163.4i 0.00592990 + 0.0102709i
\(188\) −1.24156e7 −1.86850
\(189\) −1.40896e6 2.44040e6i −0.208696 0.361472i
\(190\) −1.53015e6 + 883431.i −0.223086 + 0.128799i
\(191\) 1.52768e6 + 882005.i 0.219246 + 0.126582i 0.605601 0.795768i \(-0.292933\pi\)
−0.386355 + 0.922350i \(0.626266\pi\)
\(192\) 1.62474e6 + 938044.i 0.229552 + 0.132532i
\(193\) −2.76583e6 −0.384728 −0.192364 0.981324i \(-0.561615\pi\)
−0.192364 + 0.981324i \(0.561615\pi\)
\(194\) 1.30501e7i 1.78735i
\(195\) −296698. + 513895.i −0.0400138 + 0.0693060i
\(196\) −3.36612e6 + 5.83030e6i −0.447056 + 0.774324i
\(197\) 4.38307e6 + 7.59171e6i 0.573297 + 0.992980i 0.996224 + 0.0868165i \(0.0276694\pi\)
−0.422927 + 0.906164i \(0.638997\pi\)
\(198\) −3.21909e6 + 1.85854e6i −0.414703 + 0.239429i
\(199\) 2.67177e6i 0.339031i 0.985528 + 0.169515i \(0.0542202\pi\)
−0.985528 + 0.169515i \(0.945780\pi\)
\(200\) 4.42132e6 2.55265e6i 0.552665 0.319081i
\(201\) 913207. 527241.i 0.112456 0.0649263i
\(202\) −1.67967e6 + 969761.i −0.203784 + 0.117655i
\(203\) −7.78244e6 + 1.34796e7i −0.930310 + 1.61134i
\(204\) 75781.6i 0.00892634i
\(205\) 1.68463e7 + 9.72621e6i 1.95543 + 1.12897i
\(206\) 1.67684e7 9.68121e6i 1.91818 1.10746i
\(207\) −9.18868e6 −1.03596
\(208\) 593759. + 1.02842e6i 0.0659812 + 0.114283i
\(209\) 295493. + 170603.i 0.0323675 + 0.0186874i
\(210\) 2.13272e6 3.69398e6i 0.230290 0.398874i
\(211\) 1.60766e7i 1.71138i −0.517485 0.855692i \(-0.673132\pi\)
0.517485 0.855692i \(-0.326868\pi\)
\(212\) 6.90926e6 1.19672e7i 0.725143 1.25598i
\(213\) −548187. −0.0567270
\(214\) 5.36027e6i 0.546947i
\(215\) −1.20815e7 + 6.81642e6i −1.21565 + 0.685869i
\(216\) −2.22109e6 −0.220396
\(217\) 1.18761e7i 1.16224i
\(218\) 2.17705e7 + 1.25692e7i 2.10135 + 1.21322i
\(219\) −1.54083e6 −0.146698
\(220\) −5.81886e6 3.35952e6i −0.546475 0.315507i
\(221\) −69995.8 + 121236.i −0.00648478 + 0.0112320i
\(222\) 3.37798e6 1.95028e6i 0.308744 0.178254i
\(223\) 1.59793e6i 0.144093i 0.997401 + 0.0720465i \(0.0229530\pi\)
−0.997401 + 0.0720465i \(0.977047\pi\)
\(224\) −9.08873e6 1.57421e7i −0.808647 1.40062i
\(225\) 5.25149e6 9.09585e6i 0.461036 0.798539i
\(226\) 1.24782e7 1.08100
\(227\) 1.86680e7 + 1.07780e7i 1.59595 + 0.921423i 0.992256 + 0.124208i \(0.0396391\pi\)
0.603696 + 0.797215i \(0.293694\pi\)
\(228\) 166705. + 288742.i 0.0140651 + 0.0243615i
\(229\) 205052. + 355160.i 0.0170749 + 0.0295745i 0.874437 0.485140i \(-0.161231\pi\)
−0.857362 + 0.514714i \(0.827898\pi\)
\(230\) −1.41058e7 2.44320e7i −1.15935 2.00806i
\(231\) −823716. −0.0668254
\(232\) 6.13411e6 + 1.06246e7i 0.491233 + 0.850840i
\(233\) 1.44999e7 8.37152e6i 1.14630 0.661815i 0.198315 0.980138i \(-0.436453\pi\)
0.947982 + 0.318323i \(0.103120\pi\)
\(234\) −5.81076e6 3.35484e6i −0.453509 0.261833i
\(235\) −2.04750e7 1.18213e7i −1.57769 0.910877i
\(236\) 5.61641e6 0.427290
\(237\) 3.90386e6i 0.293258i
\(238\) 503143. 871469.i 0.0373216 0.0646429i
\(239\) 2.60933e6 4.51949e6i 0.191133 0.331052i −0.754493 0.656308i \(-0.772117\pi\)
0.945626 + 0.325256i \(0.105451\pi\)
\(240\) 612066. + 1.06013e6i 0.0442756 + 0.0766876i
\(241\) −1.88006e7 + 1.08545e7i −1.34314 + 0.775460i −0.987266 0.159076i \(-0.949149\pi\)
−0.355870 + 0.934536i \(0.615815\pi\)
\(242\) 1.98961e7i 1.40385i
\(243\) −5.96344e6 + 3.44300e6i −0.415603 + 0.239948i
\(244\) −7.02680e6 + 4.05692e6i −0.483713 + 0.279272i
\(245\) −1.11024e7 + 6.40998e6i −0.754951 + 0.435871i
\(246\) 3.11738e6 5.39947e6i 0.209404 0.362698i
\(247\) 615910.i 0.0408720i
\(248\) −8.10662e6 4.68036e6i −0.531477 0.306848i
\(249\) −3.26473e6 + 1.88489e6i −0.211470 + 0.122092i
\(250\) −1.76129e6 −0.112723
\(251\) 596498. + 1.03316e6i 0.0377214 + 0.0653354i 0.884270 0.466976i \(-0.154657\pi\)
−0.846548 + 0.532312i \(0.821323\pi\)
\(252\) 2.45913e7 + 1.41978e7i 1.53667 + 0.887196i
\(253\) −2.72404e6 + 4.71817e6i −0.168210 + 0.291348i
\(254\) 4.18580e7i 2.55433i
\(255\) −72154.0 + 124974.i −0.00435151 + 0.00753703i
\(256\) −5.14954e6 −0.306936
\(257\) 1.12769e7i 0.664339i −0.943220 0.332169i \(-0.892219\pi\)
0.943220 0.332169i \(-0.107781\pi\)
\(258\) 2.18476e6 + 3.87230e6i 0.127217 + 0.225481i
\(259\) −3.04940e7 −1.75515
\(260\) 1.21285e7i 0.690061i
\(261\) 2.18576e7 + 1.26195e7i 1.22937 + 0.709776i
\(262\) 9.42038e6 0.523799
\(263\) 1.71416e7 + 9.89672e6i 0.942290 + 0.544031i 0.890677 0.454636i \(-0.150231\pi\)
0.0516124 + 0.998667i \(0.483564\pi\)
\(264\) −324626. + 562269.i −0.0176430 + 0.0305585i
\(265\) 2.27886e7 1.31570e7i 1.22456 0.707001i
\(266\) 4.42727e6i 0.235229i
\(267\) 1.74089e6 + 3.01531e6i 0.0914613 + 0.158416i
\(268\) −1.07764e7 + 1.86652e7i −0.559845 + 0.969680i
\(269\) −3.34585e7 −1.71889 −0.859447 0.511225i \(-0.829192\pi\)
−0.859447 + 0.511225i \(0.829192\pi\)
\(270\) −1.21496e7 7.01459e6i −0.617265 0.356378i
\(271\) −1.29591e7 2.24458e7i −0.651128 1.12779i −0.982850 0.184409i \(-0.940963\pi\)
0.331721 0.943377i \(-0.392371\pi\)
\(272\) 144396. + 250102.i 0.00717546 + 0.0124283i
\(273\) −743443. 1.28768e6i −0.0365392 0.0632878i
\(274\) 3.70995e7 1.80350
\(275\) −3.11367e6 5.39303e6i −0.149718 0.259319i
\(276\) −4.61036e6 + 2.66179e6i −0.219284 + 0.126604i
\(277\) 1.31443e7 + 7.58885e6i 0.618439 + 0.357056i 0.776261 0.630411i \(-0.217114\pi\)
−0.157822 + 0.987468i \(0.550447\pi\)
\(278\) 2.15086e7 + 1.24180e7i 1.00110 + 0.577985i
\(279\) −1.92575e7 −0.886723
\(280\) 2.62837e7i 1.19732i
\(281\) 1.76300e7 3.05361e7i 0.794573 1.37624i −0.128537 0.991705i \(-0.541028\pi\)
0.923110 0.384536i \(-0.125638\pi\)
\(282\) −3.78887e6 + 6.56252e6i −0.168952 + 0.292633i
\(283\) 5.31097e6 + 9.19887e6i 0.234323 + 0.405859i 0.959076 0.283150i \(-0.0913794\pi\)
−0.724753 + 0.689009i \(0.758046\pi\)
\(284\) 9.70337e6 5.60224e6i 0.423611 0.244572i
\(285\) 634899.i 0.0274265i
\(286\) −3.44527e6 + 1.98912e6i −0.147273 + 0.0850284i
\(287\) −4.22122e7 + 2.43712e7i −1.78563 + 1.03094i
\(288\) −2.55265e7 + 1.47377e7i −1.06860 + 0.616954i
\(289\) 1.20518e7 2.08743e7i 0.499295 0.864804i
\(290\) 7.74905e7i 3.17727i
\(291\) 4.06114e6 + 2.34470e6i 0.164804 + 0.0951499i
\(292\) 2.72740e7 1.57467e7i 1.09547 0.632471i
\(293\) −3.89091e7 −1.54685 −0.773424 0.633889i \(-0.781458\pi\)
−0.773424 + 0.633889i \(0.781458\pi\)
\(294\) 2.05448e6 + 3.55847e6i 0.0808464 + 0.140030i
\(295\) 9.26223e6 + 5.34755e6i 0.360786 + 0.208300i
\(296\) −1.20177e7 + 2.08152e7i −0.463388 + 0.802611i
\(297\) 2.70923e6i 0.103413i
\(298\) 2.10564e7 3.64708e7i 0.795675 1.37815i
\(299\) −9.83429e6 −0.367900
\(300\) 6.08505e6i 0.225372i
\(301\) 344724. 3.47572e7i 0.0126407 1.27452i
\(302\) −3.59339e7 −1.30462
\(303\) 696942.i 0.0250535i
\(304\) 1.10035e6 + 635289.i 0.0391662 + 0.0226126i
\(305\) −1.54509e7 −0.544570
\(306\) −1.41312e6 815865.i −0.0493191 0.0284744i
\(307\) −5.02787e6 + 8.70852e6i −0.173768 + 0.300974i −0.939734 0.341906i \(-0.888927\pi\)
0.765967 + 0.642880i \(0.222261\pi\)
\(308\) 1.45805e7 8.41804e6i 0.499021 0.288110i
\(309\) 6.95764e6i 0.235823i
\(310\) −2.95628e7 5.12043e7i −0.992341 1.71878i
\(311\) −2.81457e7 + 4.87498e7i −0.935687 + 1.62066i −0.162283 + 0.986744i \(0.551886\pi\)
−0.773404 + 0.633913i \(0.781448\pi\)
\(312\) −1.17196e6 −0.0385877
\(313\) 7.33929e6 + 4.23734e6i 0.239343 + 0.138185i 0.614875 0.788625i \(-0.289207\pi\)
−0.375532 + 0.926810i \(0.622540\pi\)
\(314\) −1.67859e7 2.90740e7i −0.542195 0.939109i
\(315\) 2.70363e7 + 4.68283e7i 0.864999 + 1.49822i
\(316\) −3.98958e7 6.91016e7i −1.26435 2.18991i
\(317\) 1.94298e7 0.609946 0.304973 0.952361i \(-0.401353\pi\)
0.304973 + 0.952361i \(0.401353\pi\)
\(318\) −4.21700e6 7.30406e6i −0.131136 0.227135i
\(319\) 1.29596e7 7.48225e6i 0.399228 0.230494i
\(320\) −6.32374e7 3.65101e7i −1.92985 1.11420i
\(321\) −1.66809e6 963072.i −0.0504318 0.0291168i
\(322\) 7.06907e7 2.11736
\(323\) 149783.i 0.00444483i
\(324\) 2.23512e7 3.87134e7i 0.657152 1.13822i
\(325\) 5.62047e6 9.73494e6i 0.163728 0.283585i
\(326\) −1.66643e7 2.88635e7i −0.480989 0.833097i
\(327\) 7.82295e6 4.51658e6i 0.223732 0.129172i
\(328\) 3.84187e7i 1.08873i
\(329\) 5.13047e7 2.96208e7i 1.44069 0.831781i
\(330\) −3.55149e6 + 2.05045e6i −0.0988255 + 0.0570569i
\(331\) 5.02910e7 2.90355e7i 1.38678 0.800656i 0.393826 0.919185i \(-0.371151\pi\)
0.992951 + 0.118529i \(0.0378178\pi\)
\(332\) 3.85257e7 6.67284e7i 1.05278 1.82346i
\(333\) 4.94471e7i 1.33909i
\(334\) 8.73873e7 + 5.04531e7i 2.34536 + 1.35409i
\(335\) −3.55434e7 + 2.05210e7i −0.945420 + 0.545838i
\(336\) −3.06734e6 −0.0808619
\(337\) 1.87860e6 + 3.25383e6i 0.0490845 + 0.0850169i 0.889524 0.456889i \(-0.151036\pi\)
−0.840439 + 0.541906i \(0.817703\pi\)
\(338\) 4.59277e7 + 2.65163e7i 1.18939 + 0.686695i
\(339\) 2.24194e6 3.88315e6i 0.0575472 0.0996747i
\(340\) 2.94953e6i 0.0750441i
\(341\) −5.70900e6 + 9.88828e6i −0.143978 + 0.249378i
\(342\) −7.17899e6 −0.179467
\(343\) 1.93106e7i 0.478536i
\(344\) −2.35894e7 1.39331e7i −0.579485 0.342273i
\(345\) −1.01375e7 −0.246873
\(346\) 3.55316e7i 0.857802i
\(347\) −4.34447e6 2.50828e6i −0.103980 0.0600327i 0.447108 0.894480i \(-0.352454\pi\)
−0.551088 + 0.834447i \(0.685787\pi\)
\(348\) 1.46226e7 0.346966
\(349\) 1.48639e7 + 8.58170e6i 0.349670 + 0.201882i 0.664540 0.747253i \(-0.268628\pi\)
−0.314870 + 0.949135i \(0.601961\pi\)
\(350\) −4.04010e7 + 6.99765e7i −0.942297 + 1.63211i
\(351\) −4.23523e6 + 2.44521e6i −0.0979391 + 0.0565451i
\(352\) 1.74763e7i 0.400702i
\(353\) −3.95359e7 6.84783e7i −0.898810 1.55679i −0.829017 0.559224i \(-0.811099\pi\)
−0.0697936 0.997561i \(-0.522234\pi\)
\(354\) 1.71396e6 2.96867e6i 0.0386359 0.0669194i
\(355\) 2.13363e7 0.476906
\(356\) −6.16304e7 3.55824e7i −1.36598 0.788651i
\(357\) −180798. 313151.i −0.00397364 0.00688255i
\(358\) 1.39155e7 + 2.41023e7i 0.303284 + 0.525303i
\(359\) −7.98925e6 1.38378e7i −0.172672 0.299077i 0.766681 0.642028i \(-0.221907\pi\)
−0.939353 + 0.342951i \(0.888573\pi\)
\(360\) 4.26200e7 0.913494
\(361\) −2.31934e7 4.01722e7i −0.492996 0.853895i
\(362\) 6.28727e7 3.62995e7i 1.32537 0.765201i
\(363\) −6.19157e6 3.57470e6i −0.129444 0.0747343i
\(364\) 2.63191e7 + 1.51954e7i 0.545717 + 0.315070i
\(365\) 5.99715e7 1.23329
\(366\) 4.95222e6i 0.101008i
\(367\) −2.74362e7 + 4.75209e7i −0.555041 + 0.961360i 0.442859 + 0.896591i \(0.353964\pi\)
−0.997900 + 0.0647686i \(0.979369\pi\)
\(368\) −1.01437e7 + 1.75694e7i −0.203542 + 0.352545i
\(369\) 3.95189e7 + 6.84487e7i 0.786548 + 1.36234i
\(370\) −1.31476e8 + 7.59078e7i −2.59563 + 1.49859i
\(371\) 6.59358e7i 1.29122i
\(372\) −9.66234e6 + 5.57856e6i −0.187695 + 0.108366i
\(373\) 6.42697e7 3.71062e7i 1.23845 0.715022i 0.269676 0.962951i \(-0.413083\pi\)
0.968778 + 0.247929i \(0.0797500\pi\)
\(374\) −837855. + 483736.i −0.0160160 + 0.00924684i
\(375\) −316449. + 548106.i −0.00600081 + 0.0103937i
\(376\) 4.66942e7i 0.878413i
\(377\) 2.33934e7 + 1.35062e7i 0.436585 + 0.252063i
\(378\) 3.04436e7 1.75766e7i 0.563665 0.325432i
\(379\) 1.83114e7 0.336359 0.168179 0.985756i \(-0.446211\pi\)
0.168179 + 0.985756i \(0.446211\pi\)
\(380\) −6.48841e6 1.12383e7i −0.118246 0.204809i
\(381\) 1.30260e7 + 7.52057e6i 0.235525 + 0.135980i
\(382\) −1.10029e7 + 1.90576e7i −0.197386 + 0.341883i
\(383\) 6.34110e7i 1.12867i −0.825545 0.564337i \(-0.809132\pi\)
0.825545 0.564337i \(-0.190868\pi\)
\(384\) −5.73767e6 + 9.93794e6i −0.101331 + 0.175510i
\(385\) 3.20603e7 0.561804
\(386\) 3.45034e7i 0.599929i
\(387\) −5.63602e7 558983.i −0.972388 0.00964418i
\(388\) −9.58474e7 −1.64091
\(389\) 1.07167e7i 0.182058i −0.995848 0.0910292i \(-0.970984\pi\)
0.995848 0.0910292i \(-0.0290157\pi\)
\(390\) −6.41078e6 3.70126e6i −0.108073 0.0623959i
\(391\) −2.39160e6 −0.0400091
\(392\) −2.19273e7 1.26598e7i −0.364022 0.210168i
\(393\) 1.69255e6 2.93158e6i 0.0278845 0.0482974i
\(394\) −9.47055e7 + 5.46783e7i −1.54841 + 0.893976i
\(395\) 1.51944e8i 2.46543i
\(396\) −1.36502e7 2.36428e7i −0.219812 0.380726i
\(397\) −9.45321e6 + 1.63734e7i −0.151080 + 0.261679i −0.931625 0.363421i \(-0.881609\pi\)
0.780545 + 0.625100i \(0.214942\pi\)
\(398\) −3.33299e7 −0.528671
\(399\) −1.37775e6 795442.i −0.0216895 0.0125225i
\(400\) −1.15946e7 2.00825e7i −0.181166 0.313789i
\(401\) 8.42526e6 + 1.45930e7i 0.130662 + 0.226314i 0.923932 0.382557i \(-0.124956\pi\)
−0.793270 + 0.608870i \(0.791623\pi\)
\(402\) 6.57726e6 + 1.13921e7i 0.101243 + 0.175359i
\(403\) −2.06106e7 −0.314902
\(404\) −7.12246e6 1.23365e7i −0.108015 0.187088i
\(405\) 7.37204e7 4.25625e7i 1.10974 0.640711i
\(406\) −1.68156e8 9.70849e7i −2.51266 1.45069i
\(407\) 2.53899e7 + 1.46589e7i 0.376598 + 0.217429i
\(408\) −285009. −0.00419642
\(409\) 5.05692e7i 0.739123i 0.929206 + 0.369561i \(0.120492\pi\)
−0.929206 + 0.369561i \(0.879508\pi\)
\(410\) −1.21333e8 + 2.10155e8i −1.76047 + 3.04922i
\(411\) 6.66562e6 1.15452e7i 0.0960097 0.166294i
\(412\) 7.11042e7 + 1.23156e8i 1.01673 + 1.76102i
\(413\) −2.32086e7 + 1.33995e7i −0.329457 + 0.190212i
\(414\) 1.14628e8i 1.61543i
\(415\) 1.27068e8 7.33629e7i 1.77784 1.02644i
\(416\) −2.73200e7 + 1.57732e7i −0.379490 + 0.219099i
\(417\) 7.72884e6 4.46225e6i 0.106587 0.0615383i
\(418\) −2.12825e6 + 3.68624e6i −0.0291403 + 0.0504725i
\(419\) 1.19850e8i 1.62928i 0.579970 + 0.814638i \(0.303064\pi\)
−0.579970 + 0.814638i \(0.696936\pi\)
\(420\) 2.71306e7 + 1.56639e7i 0.366194 + 0.211422i
\(421\) −1.27795e8 + 7.37823e7i −1.71264 + 0.988794i −0.781678 + 0.623682i \(0.785636\pi\)
−0.930963 + 0.365112i \(0.881031\pi\)
\(422\) 2.00554e8 2.66866
\(423\) −4.80313e7 8.31926e7i −0.634604 1.09917i
\(424\) 4.50078e7 + 2.59852e7i 0.590459 + 0.340902i
\(425\) 1.36684e6 2.36744e6i 0.0178054 0.0308399i
\(426\) 6.83856e6i 0.0884577i
\(427\) 1.93578e7 3.35287e7i 0.248641 0.430659i
\(428\) 3.93688e7 0.502135
\(429\) 1.42953e6i 0.0181060i
\(430\) −8.50340e7 1.50716e8i −1.06952 1.89563i
\(431\) −1.12149e8 −1.40076 −0.700382 0.713768i \(-0.746987\pi\)
−0.700382 + 0.713768i \(0.746987\pi\)
\(432\) 1.00886e7i 0.125135i
\(433\) −3.34651e7 1.93211e7i −0.412219 0.237995i 0.279524 0.960139i \(-0.409823\pi\)
−0.691743 + 0.722144i \(0.743157\pi\)
\(434\) 1.48153e8 1.81234
\(435\) 2.41147e7 + 1.39226e7i 0.292963 + 0.169142i
\(436\) −9.23152e7 + 1.59895e8i −1.11382 + 1.92919i
\(437\) −9.11243e6 + 5.26107e6i −0.109192 + 0.0630419i
\(438\) 1.92217e7i 0.228754i
\(439\) 8.27483e6 + 1.43324e7i 0.0978060 + 0.169405i 0.910776 0.412900i \(-0.135484\pi\)
−0.812970 + 0.582305i \(0.802151\pi\)
\(440\) 1.26349e7 2.18843e7i 0.148325 0.256907i
\(441\) −5.20891e7 −0.607339
\(442\) −1.51241e6 873189.i −0.0175147 0.0101121i
\(443\) −4.79009e7 8.29668e7i −0.550976 0.954318i −0.998204 0.0598984i \(-0.980922\pi\)
0.447229 0.894420i \(-0.352411\pi\)
\(444\) 1.43239e7 + 2.48098e7i 0.163649 + 0.283449i
\(445\) −6.77581e7 1.17360e8i −0.768920 1.33181i
\(446\) −1.99340e7 −0.224693
\(447\) −7.56635e6 1.31053e7i −0.0847157 0.146732i
\(448\) 1.58455e8 9.14843e7i 1.76227 1.01745i
\(449\) 9.61523e7 + 5.55136e7i 1.06224 + 0.613282i 0.926050 0.377402i \(-0.123182\pi\)
0.136186 + 0.990683i \(0.456516\pi\)
\(450\) 1.13470e8 + 6.55117e7i 1.24521 + 0.718921i
\(451\) 4.68623e7 0.510851
\(452\) 9.16467e7i 0.992434i
\(453\) −6.45620e6 + 1.11825e7i −0.0694516 + 0.120294i
\(454\) −1.34454e8 + 2.32881e8i −1.43683 + 2.48866i
\(455\) 2.89359e7 + 5.01185e7i 0.307187 + 0.532064i
\(456\) −1.08594e6 + 626966.i −0.0114528 + 0.00661225i
\(457\) 1.71343e8i 1.79522i 0.440787 + 0.897612i \(0.354699\pi\)
−0.440787 + 0.897612i \(0.645301\pi\)
\(458\) −4.43058e6 + 2.55800e6i −0.0461173 + 0.0266258i
\(459\) −1.02997e6 + 594652.i −0.0106509 + 0.00614928i
\(460\) 1.79442e8 1.03601e8i 1.84353 1.06437i
\(461\) 4.84292e7 8.38818e7i 0.494316 0.856180i −0.505663 0.862731i \(-0.668752\pi\)
0.999979 + 0.00655104i \(0.00208528\pi\)
\(462\) 1.02757e7i 0.104205i
\(463\) 3.82722e7 + 2.20965e7i 0.385603 + 0.222628i 0.680253 0.732977i \(-0.261870\pi\)
−0.294650 + 0.955605i \(0.595203\pi\)
\(464\) 4.82589e7 2.78623e7i 0.483085 0.278909i
\(465\) −2.12460e7 −0.211310
\(466\) 1.04434e8 + 1.80884e8i 1.03201 + 1.78749i
\(467\) −6.04778e7 3.49168e7i −0.593807 0.342834i 0.172795 0.984958i \(-0.444720\pi\)
−0.766601 + 0.642123i \(0.778054\pi\)
\(468\) 2.46398e7 4.26775e7i 0.240381 0.416352i
\(469\) 1.02840e8i 0.996881i
\(470\) 1.47469e8 2.55423e8i 1.42038 2.46018i
\(471\) −1.20636e7 −0.115455
\(472\) 2.11229e7i 0.200876i
\(473\) −1.69953e7 + 2.87739e7i −0.160600 + 0.271904i
\(474\) −4.87001e7 −0.457294
\(475\) 1.20272e7i 0.112223i
\(476\) 6.40055e6 + 3.69536e6i 0.0593467 + 0.0342638i
\(477\) 1.06917e8 0.985129
\(478\) 5.63801e7 + 3.25510e7i 0.516228 + 0.298045i
\(479\) −4.45443e6 + 7.71530e6i −0.0405309 + 0.0702015i −0.885579 0.464488i \(-0.846238\pi\)
0.845048 + 0.534690i \(0.179572\pi\)
\(480\) −2.81623e7 + 1.62595e7i −0.254651 + 0.147023i
\(481\) 5.29213e7i 0.475549i
\(482\) −1.35409e8 2.34535e8i −1.20922 2.09443i
\(483\) 1.27009e7 2.19986e7i 0.112718 0.195233i
\(484\) 1.46128e8 1.28883
\(485\) −1.58066e8 9.12592e7i −1.38552 0.799929i
\(486\) −4.29509e7 7.43932e7i −0.374166 0.648074i
\(487\) −1.26590e7 2.19260e7i −0.109600 0.189833i 0.806008 0.591905i \(-0.201624\pi\)
−0.915608 + 0.402071i \(0.868290\pi\)
\(488\) −1.52578e7 2.64273e7i −0.131290 0.227402i
\(489\) −1.19762e7 −0.102422
\(490\) −7.99636e7 1.38501e8i −0.679679 1.17724i
\(491\) −1.41257e7 + 8.15546e6i −0.119334 + 0.0688976i −0.558479 0.829519i \(-0.688615\pi\)
0.439145 + 0.898416i \(0.355282\pi\)
\(492\) 3.96567e7 + 2.28958e7i 0.332982 + 0.192247i
\(493\) 5.68904e6 + 3.28457e6i 0.0474787 + 0.0274118i
\(494\) −7.68339e6 −0.0637341
\(495\) 5.19869e7i 0.428626i
\(496\) −2.12591e7 + 3.68218e7i −0.174221 + 0.301759i
\(497\) −2.67314e7 + 4.63001e7i −0.217747 + 0.377149i
\(498\) −2.35138e7 4.07271e7i −0.190386 0.329758i
\(499\) 9.76647e7 5.63867e7i 0.786024 0.453811i −0.0525367 0.998619i \(-0.516731\pi\)
0.838561 + 0.544808i \(0.183397\pi\)
\(500\) 1.29359e7i 0.103487i
\(501\) 3.14015e7 1.81297e7i 0.249711 0.144171i
\(502\) −1.28886e7 + 7.44123e6i −0.101881 + 0.0588212i
\(503\) 1.12952e7 6.52129e6i 0.0887545 0.0512424i −0.454966 0.890509i \(-0.650349\pi\)
0.543720 + 0.839266i \(0.317015\pi\)
\(504\) −5.33970e7 + 9.24863e7i −0.417085 + 0.722413i
\(505\) 2.71260e7i 0.210626i
\(506\) −5.88585e7 3.39820e7i −0.454316 0.262299i
\(507\) 1.65035e7 9.52831e6i 0.126635 0.0731126i
\(508\) −3.07428e8 −2.34505
\(509\) −7.65166e7 1.32531e8i −0.580233 1.00499i −0.995451 0.0952715i \(-0.969628\pi\)
0.415218 0.909722i \(-0.363705\pi\)
\(510\) −1.55904e6 900111.i −0.0117529 0.00678556i
\(511\) −7.51361e7 + 1.30140e8i −0.563101 + 0.975319i
\(512\) 9.95955e7i 0.742044i
\(513\) −2.61624e6 + 4.53146e6i −0.0193787 + 0.0335649i
\(514\) 1.40678e8 1.03594
\(515\) 2.70802e8i 1.98258i
\(516\) −2.84403e7 + 1.60461e7i −0.207007 + 0.116794i
\(517\) −5.69565e7 −0.412166
\(518\) 3.80408e8i 2.73691i
\(519\) 1.10573e7 + 6.38392e6i 0.0790944 + 0.0456652i
\(520\) 4.56145e7 0.324409
\(521\) −9.54675e7 5.51182e7i −0.675060 0.389746i 0.122931 0.992415i \(-0.460770\pi\)
−0.797991 + 0.602669i \(0.794104\pi\)
\(522\) −1.57427e8 + 2.72671e8i −1.10680 + 1.91703i
\(523\) 1.93354e8 1.11633e8i 1.35160 0.780345i 0.363125 0.931741i \(-0.381710\pi\)
0.988473 + 0.151395i \(0.0483766\pi\)
\(524\) 6.91885e7i 0.480884i
\(525\) 1.45176e7 + 2.51452e7i 0.100327 + 0.173771i
\(526\) −1.23460e8 + 2.13839e8i −0.848340 + 1.46937i
\(527\) −5.01229e6 −0.0342456
\(528\) 2.55393e6 + 1.47451e6i 0.0173503 + 0.0100172i
\(529\) −9.98598e6 1.72962e7i −0.0674565 0.116838i
\(530\) 1.64132e8 + 2.84285e8i 1.10247 + 1.90953i
\(531\) 2.17278e7 + 3.76336e7i 0.145122 + 0.251358i
\(532\) 3.25163e7 0.215957
\(533\) 4.22955e7 + 7.32579e7i 0.279327 + 0.483808i
\(534\) −3.76156e7 + 2.17174e7i −0.247027 + 0.142621i
\(535\) 6.49245e7 + 3.74842e7i 0.423982 + 0.244786i
\(536\) −7.01986e7 4.05292e7i −0.455862 0.263192i
\(537\) 1.00007e7 0.0645815
\(538\) 4.17390e8i 2.68037i
\(539\) −1.54421e7 + 2.67465e7i −0.0986144 + 0.170805i
\(540\) 5.15191e7 8.92336e7i 0.327180 0.566692i
\(541\) −2.79905e7 4.84809e7i −0.176774 0.306181i 0.764000 0.645216i \(-0.223233\pi\)
−0.940774 + 0.339035i \(0.889899\pi\)
\(542\) 2.80008e8 1.61663e8i 1.75862 1.01534i
\(543\) 2.60876e7i 0.162942i
\(544\) −6.64395e6 + 3.83589e6i −0.0412696 + 0.0238270i
\(545\) −3.04481e8 + 1.75792e8i −1.88092 + 1.08595i
\(546\) 1.60636e7 9.27435e6i 0.0986884 0.0569778i
\(547\) −2.98419e7 + 5.16877e7i −0.182333 + 0.315809i −0.942674 0.333714i \(-0.891698\pi\)
0.760342 + 0.649523i \(0.225031\pi\)
\(548\) 2.72480e8i 1.65574i
\(549\) −5.43681e7 3.13895e7i −0.328570 0.189700i
\(550\) 6.72774e7 3.88426e7i 0.404372 0.233464i
\(551\) 2.89017e7 0.172770
\(552\) −1.00108e7 1.73393e7i −0.0595186 0.103089i
\(553\) 3.29722e8 + 1.90365e8i 1.94972 + 1.12567i
\(554\) −9.46699e7 + 1.63973e8i −0.556779 + 0.964369i
\(555\) 5.45530e7i 0.319110i
\(556\) −9.12046e7 + 1.57971e8i −0.530631 + 0.919079i
\(557\) −9.88185e7 −0.571838 −0.285919 0.958254i \(-0.592299\pi\)
−0.285919 + 0.958254i \(0.592299\pi\)
\(558\) 2.40235e8i 1.38272i
\(559\) −6.03201e7 598257.i −0.345324 0.00342494i
\(560\) 1.19385e8 0.679810
\(561\) 347648.i 0.00196903i
\(562\) 3.80934e8 + 2.19932e8i 2.14605 + 1.23902i
\(563\) −1.07791e8 −0.604029 −0.302014 0.953303i \(-0.597659\pi\)
−0.302014 + 0.953303i \(0.597659\pi\)
\(564\) −4.81988e7 2.78276e7i −0.268657 0.155109i
\(565\) −8.72596e7 + 1.51138e8i −0.483802 + 0.837970i
\(566\) −1.14755e8 + 6.62537e7i −0.632880 + 0.365393i
\(567\) 2.13300e8i 1.17015i
\(568\) 2.10697e7 + 3.64937e7i 0.114977 + 0.199147i
\(569\) 8.87737e7 1.53761e8i 0.481889 0.834657i −0.517895 0.855444i \(-0.673284\pi\)
0.999784 + 0.0207876i \(0.00661737\pi\)
\(570\) −7.92029e6 −0.0427678
\(571\) −3.56821e7 2.06010e7i −0.191664 0.110658i 0.401097 0.916036i \(-0.368629\pi\)
−0.592762 + 0.805378i \(0.701962\pi\)
\(572\) −1.46092e7 2.53039e7i −0.0780620 0.135207i
\(573\) 3.95375e6 + 6.84810e6i 0.0210158 + 0.0364004i
\(574\) −3.04028e8 5.26591e8i −1.60760 2.78444i
\(575\) 1.92039e8 1.01015
\(576\) −1.48345e8 2.56941e8i −0.776258 1.34452i
\(577\) −2.58188e8 + 1.49065e8i −1.34403 + 0.775974i −0.987396 0.158271i \(-0.949408\pi\)
−0.356631 + 0.934245i \(0.616075\pi\)
\(578\) 2.60404e8 + 1.50344e8i 1.34854 + 0.778580i
\(579\) −1.07373e7 6.19918e6i −0.0553171 0.0319373i
\(580\) −5.69133e8 −2.91696
\(581\) 3.67655e8i 1.87461i
\(582\) −2.92498e7 + 5.06622e7i −0.148373 + 0.256989i
\(583\) 3.16962e7 5.48995e7i 0.159957 0.277053i
\(584\) 5.92222e7 + 1.02576e8i 0.297335 + 0.514999i
\(585\) 8.12690e7 4.69207e7i 0.405936 0.234367i
\(586\) 4.85385e8i 2.41209i
\(587\) 7.04553e7 4.06774e7i 0.348337 0.201112i −0.315616 0.948887i \(-0.602211\pi\)
0.663952 + 0.747775i \(0.268878\pi\)
\(588\) −2.61354e7 + 1.50893e7i −0.128557 + 0.0742226i
\(589\) −1.90977e7 + 1.10261e7i −0.0934621 + 0.0539604i
\(590\) −6.67100e7 + 1.15545e8i −0.324814 + 0.562594i
\(591\) 3.92959e7i 0.190364i
\(592\) 9.45466e7 + 5.45865e7i 0.455702 + 0.263099i
\(593\) 4.52430e7 2.61210e7i 0.216964 0.125264i −0.387580 0.921836i \(-0.626689\pi\)
0.604544 + 0.796572i \(0.293356\pi\)
\(594\) −3.37973e7 −0.161259
\(595\) 7.03693e6 + 1.21883e7i 0.0334066 + 0.0578619i
\(596\) 2.67862e8 + 1.54650e8i 1.26524 + 0.730485i
\(597\) −5.98834e6 + 1.03721e7i −0.0281438 + 0.0487466i
\(598\) 1.22681e8i 0.573687i
\(599\) 3.50357e7 6.06836e7i 0.163016 0.282352i −0.772933 0.634488i \(-0.781211\pi\)
0.935949 + 0.352136i \(0.114544\pi\)
\(600\) 2.28855e7 0.105951
\(601\) 1.05336e8i 0.485238i −0.970122 0.242619i \(-0.921994\pi\)
0.970122 0.242619i \(-0.0780064\pi\)
\(602\) 4.33592e8 + 4.30038e6i 1.98743 + 0.0197114i
\(603\) −1.66759e8 −0.760566
\(604\) 2.63919e8i 1.19773i
\(605\) 2.40985e8 + 1.39133e8i 1.08824 + 0.628295i
\(606\) −8.69426e6 −0.0390674
\(607\) −2.00932e8 1.16008e8i −0.898426 0.518706i −0.0217368 0.999764i \(-0.506920\pi\)
−0.876689 + 0.481057i \(0.840253\pi\)
\(608\) −1.68764e7 + 2.92309e7i −0.0750879 + 0.130056i
\(609\) −6.04247e7 + 3.48862e7i −0.267524 + 0.154455i
\(610\) 1.92748e8i 0.849180i
\(611\) −5.14060e7 8.90378e7i −0.225367 0.390347i
\(612\) 5.99217e6 1.03787e7i 0.0261415 0.0452783i
\(613\) 1.45471e6 0.00631532 0.00315766 0.999995i \(-0.498995\pi\)
0.00315766 + 0.999995i \(0.498995\pi\)
\(614\) −1.08638e8 6.27220e7i −0.469327 0.270966i
\(615\) 4.35996e7 + 7.55166e7i 0.187438 + 0.324651i
\(616\) 3.16597e7 + 5.48361e7i 0.135445 + 0.234598i
\(617\) −7.33525e7 1.27050e8i −0.312291 0.540904i 0.666567 0.745445i \(-0.267763\pi\)
−0.978858 + 0.204541i \(0.934430\pi\)
\(618\) 8.67957e7 0.367733
\(619\) −5.83796e6 1.01116e7i −0.0246144 0.0426334i 0.853456 0.521165i \(-0.174502\pi\)
−0.878070 + 0.478532i \(0.841169\pi\)
\(620\) 3.76073e8 2.17126e8i 1.57796 0.911038i
\(621\) −7.23542e7 4.17737e7i −0.302127 0.174433i
\(622\) −6.08147e8 3.51114e8i −2.52719 1.45907i
\(623\) 3.39566e8 1.40430
\(624\) 5.32327e6i 0.0219091i
\(625\) 1.28065e8 2.21815e8i 0.524554 0.908554i
\(626\) −5.28603e7 + 9.15567e7i −0.215480 + 0.373222i
\(627\) 764760. + 1.32460e6i 0.00310258 + 0.00537382i
\(628\) 2.13536e8 1.23285e8i 0.862167 0.497772i
\(629\) 1.28700e7i 0.0517160i
\(630\) −5.84177e8 + 3.37274e8i −2.33627 + 1.34884i
\(631\) 3.79760e8 2.19255e8i 1.51155 0.872692i 0.511638 0.859201i \(-0.329039\pi\)
0.999909 0.0134905i \(-0.00429428\pi\)
\(632\) 2.59886e8 1.50046e8i 1.02951 0.594390i
\(633\) 3.60332e7 6.24114e7i 0.142067 0.246067i
\(634\) 2.42385e8i 0.951125i
\(635\) −5.06992e8 2.92712e8i −1.98007 1.14319i
\(636\) 5.36451e7 3.09720e7i 0.208525 0.120392i
\(637\) −5.57489e7 −0.215684
\(638\) 9.33401e7 + 1.61670e8i 0.359423 + 0.622540i
\(639\) 7.50774e7 + 4.33460e7i 0.287744 + 0.166129i
\(640\) 2.23319e8 3.86800e8i 0.851894 1.47552i
\(641\) 1.52366e8i 0.578513i −0.957252 0.289256i \(-0.906592\pi\)
0.957252 0.289256i \(-0.0934080\pi\)
\(642\) 1.20142e7 2.08092e7i 0.0454035 0.0786412i
\(643\) 3.97399e7 0.149484 0.0747418 0.997203i \(-0.476187\pi\)
0.0747418 + 0.997203i \(0.476187\pi\)
\(644\) 5.19191e8i 1.94388i
\(645\) −6.21799e7 616703.i −0.231724 0.00229825i
\(646\) −1.86853e6 −0.00693109
\(647\) 2.64767e8i 0.977577i −0.872402 0.488788i \(-0.837439\pi\)
0.872402 0.488788i \(-0.162561\pi\)
\(648\) 1.45598e8 + 8.40613e7i 0.535096 + 0.308938i
\(649\) 2.57653e7 0.0942542
\(650\) 1.21442e8 + 7.01146e7i 0.442211 + 0.255310i
\(651\) 2.66184e7 4.61044e7i 0.0964803 0.167109i
\(652\) 2.11989e8 1.22392e8i 0.764841 0.441581i
\(653\) 3.33567e7i 0.119796i 0.998204 + 0.0598981i \(0.0190776\pi\)
−0.998204 + 0.0598981i \(0.980922\pi\)
\(654\) 5.63438e7 + 9.75903e7i 0.201425 + 0.348878i
\(655\) −6.58765e7 + 1.14101e8i −0.234426 + 0.406038i
\(656\) 1.74505e8 0.618154
\(657\) 2.11026e8 + 1.21836e8i 0.744115 + 0.429615i
\(658\) 3.69516e8 + 6.40020e8i 1.29705 + 2.24655i
\(659\) −1.39501e8 2.41623e8i −0.487441 0.844273i 0.512455 0.858714i \(-0.328736\pi\)
−0.999896 + 0.0144416i \(0.995403\pi\)
\(660\) −1.50597e7 2.60841e7i −0.0523822 0.0907286i
\(661\) −2.54984e8 −0.882895 −0.441447 0.897287i \(-0.645535\pi\)
−0.441447 + 0.897287i \(0.645535\pi\)
\(662\) 3.62215e8 + 6.27374e8i 1.24851 + 2.16248i
\(663\) −543464. + 313769.i −0.00186479 + 0.00107664i
\(664\) 2.50961e8 + 1.44892e8i 0.857239 + 0.494927i
\(665\) 5.36239e7 + 3.09598e7i 0.182345 + 0.105277i
\(666\) −6.16847e8 −2.08812
\(667\) 4.61476e8i 1.55515i
\(668\) −3.70555e8 + 6.41821e8i −1.24315 + 2.15320i
\(669\) −3.58151e6 + 6.20335e6i −0.0119616 + 0.0207180i
\(670\) −2.55997e8 4.43399e8i −0.851158 1.47425i
\(671\) −3.22355e7 + 1.86112e7i −0.106700 + 0.0616036i
\(672\) 8.14838e7i 0.268512i
\(673\) −2.35511e8 + 1.35972e8i −0.772621 + 0.446073i −0.833809 0.552053i \(-0.813844\pi\)
0.0611879 + 0.998126i \(0.480511\pi\)
\(674\) −4.05911e7 + 2.34353e7i −0.132572 + 0.0765404i
\(675\) 8.27035e7 4.77489e7i 0.268913 0.155257i
\(676\) −1.94751e8 + 3.37318e8i −0.630433 + 1.09194i
\(677\) 5.92442e8i 1.90932i −0.297692 0.954662i \(-0.596217\pi\)
0.297692 0.954662i \(-0.403783\pi\)
\(678\) 4.84418e7 + 2.79679e7i 0.155429 + 0.0897368i
\(679\) 3.96069e8 2.28671e8i 1.26521 0.730468i
\(680\) 1.10930e7 0.0352795
\(681\) 4.83142e7 + 8.36827e7i 0.152980 + 0.264968i
\(682\) −1.23355e8 7.12190e7i −0.388869 0.224514i
\(683\) 2.17174e8 3.76156e8i 0.681625 1.18061i −0.292860 0.956155i \(-0.594607\pi\)
0.974485 0.224454i \(-0.0720597\pi\)
\(684\) 5.27265e7i 0.164763i
\(685\) −2.59436e8 + 4.49357e8i −0.807158 + 1.39804i
\(686\) −2.40898e8 −0.746209
\(687\) 1.83837e6i 0.00566972i
\(688\) −6.32869e7 + 1.07148e8i −0.194334 + 0.329016i
\(689\) 1.14429e8 0.349849
\(690\) 1.26464e8i 0.384964i
\(691\) 1.98594e8 + 1.14658e8i 0.601911 + 0.347513i 0.769793 0.638294i \(-0.220359\pi\)
−0.167882 + 0.985807i \(0.553693\pi\)
\(692\) −2.60964e8 −0.787522
\(693\) 1.12813e8 + 6.51325e7i 0.338968 + 0.195703i
\(694\) 3.12905e7 5.41967e7i 0.0936125 0.162142i
\(695\) −3.00818e8 + 1.73677e8i −0.896085 + 0.517355i
\(696\) 5.49945e7i 0.163114i
\(697\) 1.02858e7 + 1.78156e7i 0.0303768 + 0.0526141i
\(698\) −1.07056e8 + 1.85426e8i −0.314806 + 0.545260i
\(699\) 7.50538e7 0.219756
\(700\) −5.13946e8 2.96727e8i −1.49839 0.865094i
\(701\) 2.84100e8 + 4.92076e8i 0.824741 + 1.42849i 0.902117 + 0.431492i \(0.142013\pi\)
−0.0773758 + 0.997002i \(0.524654\pi\)
\(702\) −3.05037e7 5.28340e7i −0.0881742 0.152722i
\(703\) 2.83114e7 + 4.90368e7i 0.0814884 + 0.141142i
\(704\) −1.75911e8 −0.504168
\(705\) −5.29909e7 9.17830e7i −0.151229 0.261936i
\(706\) 8.54258e8 4.93206e8i 2.42759 1.40157i
\(707\) 5.88641e7 + 3.39852e7i 0.166568 + 0.0961682i
\(708\) 2.18036e7 + 1.25883e7i 0.0614367 + 0.0354705i
\(709\) −4.00861e8 −1.12475 −0.562374 0.826883i \(-0.690112\pi\)
−0.562374 + 0.826883i \(0.690112\pi\)
\(710\) 2.66167e8i 0.743668i
\(711\) 3.08684e8 5.34657e8i 0.858827 1.48753i
\(712\) 1.33823e8 2.31788e8i 0.370758 0.642171i
\(713\) −1.76054e8 3.04935e8i −0.485711 0.841277i
\(714\) 3.90652e6 2.25543e6i 0.0107324 0.00619634i
\(715\) 5.56396e7i 0.152218i
\(716\) −1.77021e8 + 1.02203e8i −0.482265 + 0.278436i
\(717\) 2.02595e7 1.16968e7i 0.0549630 0.0317329i
\(718\) 1.72625e8 9.96648e7i 0.466368 0.269258i
\(719\) 8.67714e7 1.50292e8i 0.233448 0.404344i −0.725373 0.688356i \(-0.758333\pi\)
0.958820 + 0.284013i \(0.0916658\pi\)
\(720\) 1.93588e8i 0.518658i
\(721\) −5.87646e8 3.39277e8i −1.56787 0.905210i
\(722\) 5.01143e8 2.89335e8i 1.33153 0.768758i
\(723\) −9.73148e7 −0.257492
\(724\) 2.66604e8 + 4.61772e8i 0.702507 + 1.21678i
\(725\) −4.56814e8 2.63742e8i −1.19874 0.692094i
\(726\) 4.45940e7 7.72390e7i 0.116538 0.201849i
\(727\) 1.63476e8i 0.425451i 0.977112 + 0.212726i \(0.0682340\pi\)
−0.977112 + 0.212726i \(0.931766\pi\)
\(728\) −5.71487e7 + 9.89844e7i −0.148119 + 0.256550i
\(729\) 3.24810e8 0.838392
\(730\) 7.48137e8i 1.92315i
\(731\) −1.46693e7 145490.i −0.0375540 0.000372462i
\(732\) −3.63718e7 −0.0927325
\(733\) 3.73379e8i 0.948064i 0.880508 + 0.474032i \(0.157202\pi\)
−0.880508 + 0.474032i \(0.842798\pi\)
\(734\) −5.92816e8 3.42263e8i −1.49910 0.865509i
\(735\) −5.74678e7 −0.144731
\(736\) −4.66732e8 2.69468e8i −1.17067 0.675886i
\(737\) −4.94366e7 + 8.56267e7i −0.123494 + 0.213898i
\(738\) −8.53888e8 + 4.92993e8i −2.12438 + 1.22651i
\(739\) 1.79925e8i 0.445818i 0.974839 + 0.222909i \(0.0715552\pi\)
−0.974839 + 0.222909i \(0.928445\pi\)
\(740\) −5.57509e8 9.65635e8i −1.37581 2.38296i
\(741\) −1.38046e6 + 2.39103e6i −0.00339290 + 0.00587667i
\(742\) −8.22540e8 −2.01347
\(743\) −5.07460e8 2.92982e8i −1.23719 0.714290i −0.268668 0.963233i \(-0.586584\pi\)
−0.968518 + 0.248943i \(0.919917\pi\)
\(744\) −2.09806e7 3.63394e7i −0.0509446 0.0882387i
\(745\) 2.94494e8 + 5.10078e8i 0.712209 + 1.23358i
\(746\) 4.62894e8 + 8.01757e8i 1.11498 + 1.93119i
\(747\) 5.96166e8 1.43023
\(748\) −3.55282e6 6.15367e6i −0.00848924 0.0147038i
\(749\) −1.62683e8 + 9.39251e7i −0.387166 + 0.223530i
\(750\) −6.83755e6 3.94766e6i −0.0162075 0.00935742i
\(751\) 2.33553e8 + 1.34842e8i 0.551398 + 0.318350i 0.749686 0.661794i \(-0.230205\pi\)
−0.198287 + 0.980144i \(0.563538\pi\)
\(752\) −2.12094e8 −0.498740
\(753\) 5.34782e6i 0.0125254i
\(754\) −1.68488e8 + 2.91829e8i −0.393056 + 0.680793i
\(755\) 2.51285e8 4.35238e8i 0.583883 1.01131i
\(756\) 1.29093e8 + 2.23595e8i 0.298769 + 0.517484i
\(757\) −2.99492e8 + 1.72912e8i −0.690396 + 0.398600i −0.803760 0.594953i \(-0.797171\pi\)
0.113364 + 0.993553i \(0.463837\pi\)
\(758\) 2.28432e8i 0.524504i
\(759\) −2.11501e7 + 1.22110e7i −0.0483711 + 0.0279271i
\(760\) 4.22663e7 2.44025e7i 0.0962839 0.0555895i
\(761\) 2.41485e8 1.39421e8i 0.547943 0.316355i −0.200349 0.979725i \(-0.564208\pi\)
0.748292 + 0.663369i \(0.230874\pi\)
\(762\) −9.38181e7 + 1.62498e8i −0.212042 + 0.367267i
\(763\) 8.80974e8i 1.98330i
\(764\) −1.39969e8 8.08114e7i −0.313873 0.181214i
\(765\) 1.97638e7 1.14106e7i 0.0441455 0.0254874i
\(766\)