Properties

Label 43.7.d.a.7.21
Level $43$
Weight $7$
Character 43.7
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 7.21
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.1

$q$-expansion

\(f(q)\) \(=\) \(q+15.5562i q^{2} +(25.2642 - 14.5863i) q^{3} -177.997 q^{4} +(-105.706 + 61.0294i) q^{5} +(226.908 + 393.016i) q^{6} +(-10.5188 - 6.07303i) q^{7} -1773.36i q^{8} +(61.0201 - 105.690i) q^{9} +O(q^{10})\) \(q+15.5562i q^{2} +(25.2642 - 14.5863i) q^{3} -177.997 q^{4} +(-105.706 + 61.0294i) q^{5} +(226.908 + 393.016i) q^{6} +(-10.5188 - 6.07303i) q^{7} -1773.36i q^{8} +(61.0201 - 105.690i) q^{9} +(-949.388 - 1644.39i) q^{10} -1760.62 q^{11} +(-4496.94 + 2596.31i) q^{12} +(1474.55 - 2554.00i) q^{13} +(94.4735 - 163.633i) q^{14} +(-1780.39 + 3083.72i) q^{15} +16195.0 q^{16} +(397.814 - 689.033i) q^{17} +(1644.14 + 949.243i) q^{18} +(-10625.8 + 6134.79i) q^{19} +(18815.3 - 10863.0i) q^{20} -354.332 q^{21} -27388.7i q^{22} +(2845.62 + 4928.76i) q^{23} +(-25866.8 - 44802.5i) q^{24} +(-363.323 + 629.295i) q^{25} +(39730.6 + 22938.5i) q^{26} +17706.6i q^{27} +(1872.31 + 1080.98i) q^{28} +(531.069 + 306.613i) q^{29} +(-47971.1 - 27696.1i) q^{30} +(-3715.65 - 6435.70i) q^{31} +138439. i q^{32} +(-44480.7 + 25681.0i) q^{33} +(10718.8 + 6188.48i) q^{34} +1482.53 q^{35} +(-10861.4 + 18812.4i) q^{36} +(-86748.7 + 50084.4i) q^{37} +(-95434.3 - 165297. i) q^{38} -86033.0i q^{39} +(108227. + 187455. i) q^{40} +28578.3 q^{41} -5512.07i q^{42} +(-79399.3 - 4136.63i) q^{43} +313385. q^{44} +14896.1i q^{45} +(-76673.0 + 44267.2i) q^{46} +6537.35 q^{47} +(409155. - 236226. i) q^{48} +(-58750.7 - 101759. i) q^{49} +(-9789.46 - 5651.95i) q^{50} -23210.5i q^{51} +(-262465. + 454603. i) q^{52} +(1950.05 + 3377.58i) q^{53} -275448. q^{54} +(186108. - 107450. i) q^{55} +(-10769.7 + 18653.6i) q^{56} +(-178968. + 309981. i) q^{57} +(-4769.74 + 8261.44i) q^{58} +351135. q^{59} +(316903. - 548892. i) q^{60} +(205715. + 118769. i) q^{61} +(100115. - 57801.6i) q^{62} +(-1283.71 + 741.153i) q^{63} -1.11711e6 q^{64} +359964. i q^{65} +(-399499. - 691953. i) q^{66} +(20297.7 + 35156.6i) q^{67} +(-70809.5 + 122646. i) q^{68} +(143785. + 83014.2i) q^{69} +23062.6i q^{70} +(-264709. - 152830. i) q^{71} +(-187426. - 108211. i) q^{72} +(-137304. - 79272.5i) q^{73} +(-779125. - 1.34948e6i) q^{74} +21198.2i q^{75} +(1.89135e6 - 1.09197e6i) q^{76} +(18519.6 + 10692.3i) q^{77} +1.33835e6 q^{78} +(-105586. + 182880. i) q^{79} +(-1.71191e6 + 988373. i) q^{80} +(302757. + 524391. i) q^{81} +444571. i q^{82} +(475073. + 822851. i) q^{83} +63069.9 q^{84} +97113.3i q^{85} +(64350.5 - 1.23516e6i) q^{86} +17889.4 q^{87} +3.12222e6i q^{88} +(558925. - 322696. i) q^{89} -231727. q^{90} +(-31021.0 + 17910.0i) q^{91} +(-506511. - 877303. i) q^{92} +(-187746. - 108395. i) q^{93} +101697. i q^{94} +(748805. - 1.29697e6i) q^{95} +(2.01931e6 + 3.49755e6i) q^{96} -1.20150e6 q^{97} +(1.58299e6 - 913941. i) q^{98} +(-107433. + 186080. 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 15.5562i 1.94453i 0.233881 + 0.972265i \(0.424857\pi\)
−0.233881 + 0.972265i \(0.575143\pi\)
\(3\) 25.2642 14.5863i 0.935711 0.540233i 0.0470980 0.998890i \(-0.485003\pi\)
0.888613 + 0.458657i \(0.151669\pi\)
\(4\) −177.997 −2.78120
\(5\) −105.706 + 61.0294i −0.845648 + 0.488235i −0.859180 0.511673i \(-0.829026\pi\)
0.0135319 + 0.999908i \(0.495693\pi\)
\(6\) 226.908 + 393.016i 1.05050 + 1.81952i
\(7\) −10.5188 6.07303i −0.0306670 0.0177056i 0.484588 0.874742i \(-0.338969\pi\)
−0.515255 + 0.857037i \(0.672303\pi\)
\(8\) 1773.36i 3.46359i
\(9\) 61.0201 105.690i 0.0837038 0.144979i
\(10\) −949.388 1644.39i −0.949388 1.64439i
\(11\) −1760.62 −1.32278 −0.661391 0.750041i \(-0.730034\pi\)
−0.661391 + 0.750041i \(0.730034\pi\)
\(12\) −4496.94 + 2596.31i −2.60240 + 1.50250i
\(13\) 1474.55 2554.00i 0.671166 1.16249i −0.306407 0.951900i \(-0.599127\pi\)
0.977574 0.210594i \(-0.0675397\pi\)
\(14\) 94.4735 163.633i 0.0344291 0.0596330i
\(15\) −1780.39 + 3083.72i −0.527522 + 0.913694i
\(16\) 16195.0 3.95386
\(17\) 397.814 689.033i 0.0809716 0.140247i −0.822696 0.568482i \(-0.807531\pi\)
0.903668 + 0.428235i \(0.140864\pi\)
\(18\) 1644.14 + 949.243i 0.281916 + 0.162765i
\(19\) −10625.8 + 6134.79i −1.54917 + 0.894415i −0.550967 + 0.834527i \(0.685741\pi\)
−0.998205 + 0.0598881i \(0.980926\pi\)
\(20\) 18815.3 10863.0i 2.35192 1.35788i
\(21\) −354.332 −0.0382606
\(22\) 27388.7i 2.57219i
\(23\) 2845.62 + 4928.76i 0.233880 + 0.405093i 0.958947 0.283586i \(-0.0915243\pi\)
−0.725066 + 0.688679i \(0.758191\pi\)
\(24\) −25866.8 44802.5i −1.87115 3.24092i
\(25\) −363.323 + 629.295i −0.0232527 + 0.0402749i
\(26\) 39730.6 + 22938.5i 2.26051 + 1.30510i
\(27\) 17706.6i 0.899588i
\(28\) 1872.31 + 1080.98i 0.0852911 + 0.0492428i
\(29\) 531.069 + 306.613i 0.0217749 + 0.0125718i 0.510848 0.859671i \(-0.329332\pi\)
−0.489073 + 0.872243i \(0.662665\pi\)
\(30\) −47971.1 27696.1i −1.77671 1.02578i
\(31\) −3715.65 6435.70i −0.124724 0.216028i 0.796901 0.604110i \(-0.206471\pi\)
−0.921625 + 0.388082i \(0.873138\pi\)
\(32\) 138439.i 4.22482i
\(33\) −44480.7 + 25681.0i −1.23774 + 0.714611i
\(34\) 10718.8 + 6188.48i 0.272714 + 0.157452i
\(35\) 1482.53 0.0345780
\(36\) −10861.4 + 18812.4i −0.232797 + 0.403216i
\(37\) −86748.7 + 50084.4i −1.71261 + 0.988774i −0.781595 + 0.623786i \(0.785594\pi\)
−0.931012 + 0.364988i \(0.881073\pi\)
\(38\) −95434.3 165297.i −1.73922 3.01241i
\(39\) 86033.0i 1.45035i
\(40\) 108227. + 187455.i 1.69105 + 2.92898i
\(41\) 28578.3 0.414653 0.207326 0.978272i \(-0.433524\pi\)
0.207326 + 0.978272i \(0.433524\pi\)
\(42\) 5512.07i 0.0743990i
\(43\) −79399.3 4136.63i −0.998646 0.0520286i
\(44\) 313385. 3.67892
\(45\) 14896.1i 0.163469i
\(46\) −76673.0 + 44267.2i −0.787715 + 0.454787i
\(47\) 6537.35 0.0629663 0.0314832 0.999504i \(-0.489977\pi\)
0.0314832 + 0.999504i \(0.489977\pi\)
\(48\) 409155. 236226.i 3.69968 2.13601i
\(49\) −58750.7 101759.i −0.499373 0.864939i
\(50\) −9789.46 5651.95i −0.0783157 0.0452156i
\(51\) 23210.5i 0.174974i
\(52\) −262465. + 454603.i −1.86665 + 3.23313i
\(53\) 1950.05 + 3377.58i 0.0130984 + 0.0226871i 0.872500 0.488614i \(-0.162497\pi\)
−0.859402 + 0.511301i \(0.829164\pi\)
\(54\) −275448. −1.74928
\(55\) 186108. 107450.i 1.11861 0.645829i
\(56\) −10769.7 + 18653.6i −0.0613251 + 0.106218i
\(57\) −178968. + 309981.i −0.966385 + 1.67383i
\(58\) −4769.74 + 8261.44i −0.0244462 + 0.0423420i
\(59\) 351135. 1.70969 0.854846 0.518881i \(-0.173651\pi\)
0.854846 + 0.518881i \(0.173651\pi\)
\(60\) 316903. 548892.i 1.46714 2.54117i
\(61\) 205715. + 118769.i 0.906308 + 0.523257i 0.879242 0.476376i \(-0.158050\pi\)
0.0270668 + 0.999634i \(0.491383\pi\)
\(62\) 100115. 57801.6i 0.420074 0.242530i
\(63\) −1283.71 + 741.153i −0.00513389 + 0.00296405i
\(64\) −1.11711e6 −4.26142
\(65\) 359964.i 1.31075i
\(66\) −399499. 691953.i −1.38958 2.40683i
\(67\) 20297.7 + 35156.6i 0.0674872 + 0.116891i 0.897795 0.440414i \(-0.145168\pi\)
−0.830307 + 0.557306i \(0.811835\pi\)
\(68\) −70809.5 + 122646.i −0.225198 + 0.390055i
\(69\) 143785. + 83014.2i 0.437689 + 0.252700i
\(70\) 23062.6i 0.0672380i
\(71\) −264709. 152830.i −0.739595 0.427005i 0.0823273 0.996605i \(-0.473765\pi\)
−0.821922 + 0.569600i \(0.807098\pi\)
\(72\) −187426. 108211.i −0.502149 0.289916i
\(73\) −137304. 79272.5i −0.352951 0.203777i 0.313033 0.949742i \(-0.398655\pi\)
−0.665984 + 0.745966i \(0.731988\pi\)
\(74\) −779125. 1.34948e6i −1.92270 3.33022i
\(75\) 21198.2i 0.0502475i
\(76\) 1.89135e6 1.09197e6i 4.30855 2.48755i
\(77\) 18519.6 + 10692.3i 0.0405658 + 0.0234207i
\(78\) 1.33835e6 2.82024
\(79\) −105586. + 182880.i −0.214153 + 0.370925i −0.953010 0.302938i \(-0.902033\pi\)
0.738857 + 0.673862i \(0.235366\pi\)
\(80\) −1.71191e6 + 988373.i −3.34358 + 1.93042i
\(81\) 302757. + 524391.i 0.569691 + 0.986734i
\(82\) 444571.i 0.806305i
\(83\) 475073. + 822851.i 0.830857 + 1.43909i 0.897360 + 0.441300i \(0.145482\pi\)
−0.0665030 + 0.997786i \(0.521184\pi\)
\(84\) 63069.9 0.106410
\(85\) 97113.3i 0.158133i
\(86\) 64350.5 1.23516e6i 0.101171 1.94190i
\(87\) 17889.4 0.0271667
\(88\) 3.12222e6i 4.58158i
\(89\) 558925. 322696.i 0.792836 0.457744i −0.0481237 0.998841i \(-0.515324\pi\)
0.840960 + 0.541097i \(0.181991\pi\)
\(90\) −231727. −0.317870
\(91\) −31021.0 + 17910.0i −0.0411653 + 0.0237668i
\(92\) −506511. 877303.i −0.650468 1.12664i
\(93\) −187746. 108395.i −0.233411 0.134760i
\(94\) 101697.i 0.122440i
\(95\) 748805. 1.29697e6i 0.873370 1.51272i
\(96\) 2.01931e6 + 3.49755e6i 2.28239 + 3.95321i
\(97\) −1.20150e6 −1.31646 −0.658231 0.752816i \(-0.728695\pi\)
−0.658231 + 0.752816i \(0.728695\pi\)
\(98\) 1.58299e6 913941.i 1.68190 0.971046i
\(99\) −107433. + 186080.i −0.110722 + 0.191776i
\(100\) 64670.4 112012.i 0.0646704 0.112012i
\(101\) −573418. + 993189.i −0.556554 + 0.963979i 0.441227 + 0.897395i \(0.354543\pi\)
−0.997781 + 0.0665838i \(0.978790\pi\)
\(102\) 361068. 0.340243
\(103\) 360754. 624845.i 0.330141 0.571822i −0.652398 0.757877i \(-0.726237\pi\)
0.982539 + 0.186055i \(0.0595703\pi\)
\(104\) −4.52916e6 2.61491e6i −4.02641 2.32465i
\(105\) 37455.0 21624.7i 0.0323550 0.0186802i
\(106\) −52542.5 + 30335.4i −0.0441157 + 0.0254702i
\(107\) 474981. 0.387726 0.193863 0.981029i \(-0.437898\pi\)
0.193863 + 0.981029i \(0.437898\pi\)
\(108\) 3.15171e6i 2.50193i
\(109\) 301620. + 522420.i 0.232906 + 0.403404i 0.958662 0.284547i \(-0.0918433\pi\)
−0.725756 + 0.687952i \(0.758510\pi\)
\(110\) 1.67151e6 + 2.89515e6i 1.25583 + 2.17517i
\(111\) −1.46109e6 + 2.53068e6i −1.06834 + 1.85041i
\(112\) −170352. 98352.8i −0.121253 0.0700056i
\(113\) 2.23771e6i 1.55084i −0.631444 0.775421i \(-0.717538\pi\)
0.631444 0.775421i \(-0.282462\pi\)
\(114\) −4.82214e6 2.78407e6i −3.25481 1.87917i
\(115\) −601599. 347333.i −0.395561 0.228377i
\(116\) −94528.5 54576.1i −0.0605604 0.0349646i
\(117\) −179955. 311690.i −0.112358 0.194610i
\(118\) 5.46234e6i 3.32455i
\(119\) −8369.03 + 4831.86i −0.00496632 + 0.00286730i
\(120\) 5.46854e6 + 3.15727e6i 3.16467 + 1.82712i
\(121\) 1.32823e6 0.749752
\(122\) −1.84761e6 + 3.20015e6i −1.01749 + 1.76234i
\(123\) 722008. 416851.i 0.387995 0.224009i
\(124\) 661374. + 1.14553e6i 0.346882 + 0.600818i
\(125\) 1.99586e6i 1.02188i
\(126\) −11529.6 19969.8i −0.00576369 0.00998301i
\(127\) 1.34717e6 0.657676 0.328838 0.944386i \(-0.393343\pi\)
0.328838 + 0.944386i \(0.393343\pi\)
\(128\) 8.51788e6i 4.06164i
\(129\) −2.06630e6 + 1.05363e6i −0.962552 + 0.490818i
\(130\) −5.59969e6 −2.54879
\(131\) 427630.i 0.190219i −0.995467 0.0951096i \(-0.969680\pi\)
0.995467 0.0951096i \(-0.0303201\pi\)
\(132\) 7.91742e6 4.57113e6i 3.44241 1.98747i
\(133\) 149027. 0.0633447
\(134\) −546904. + 315755.i −0.227299 + 0.131231i
\(135\) −1.08062e6 1.87169e6i −0.439211 0.760735i
\(136\) −1.22190e6 705467.i −0.485758 0.280453i
\(137\) 656896.i 0.255467i −0.991809 0.127734i \(-0.959230\pi\)
0.991809 0.127734i \(-0.0407702\pi\)
\(138\) −1.29139e6 + 2.23675e6i −0.491383 + 0.851100i
\(139\) 38542.8 + 66758.1i 0.0143516 + 0.0248576i 0.873112 0.487520i \(-0.162098\pi\)
−0.858760 + 0.512377i \(0.828765\pi\)
\(140\) −263886. −0.0961683
\(141\) 165161. 95355.8i 0.0589183 0.0340165i
\(142\) 2.37746e6 4.11788e6i 0.830324 1.43816i
\(143\) −2.59613e6 + 4.49663e6i −0.887807 + 1.53773i
\(144\) 988222. 1.71165e6i 0.330953 0.573228i
\(145\) −74849.6 −0.0245519
\(146\) 1.23318e6 2.13594e6i 0.396250 0.686325i
\(147\) −2.96858e6 1.71391e6i −0.934538 0.539556i
\(148\) 1.54410e7 8.91485e6i 4.76310 2.74998i
\(149\) −2.10889e6 + 1.21757e6i −0.637523 + 0.368074i −0.783660 0.621190i \(-0.786649\pi\)
0.146137 + 0.989264i \(0.453316\pi\)
\(150\) −329764. −0.0977078
\(151\) 3.18318e6i 0.924549i −0.886737 0.462274i \(-0.847034\pi\)
0.886737 0.462274i \(-0.152966\pi\)
\(152\) 1.08792e7 + 1.88433e7i 3.09789 + 5.36570i
\(153\) −48549.2 84089.7i −0.0135553 0.0234784i
\(154\) −166332. + 288096.i −0.0455422 + 0.0788814i
\(155\) 785534. + 453528.i 0.210945 + 0.121789i
\(156\) 1.53136e7i 4.03370i
\(157\) −1.06974e6 617617.i −0.276427 0.159595i 0.355378 0.934723i \(-0.384352\pi\)
−0.631805 + 0.775128i \(0.717686\pi\)
\(158\) −2.84493e6 1.64252e6i −0.721274 0.416428i
\(159\) 98532.8 + 56887.9i 0.0245126 + 0.0141524i
\(160\) −8.44884e6 1.46338e7i −2.06270 3.57271i
\(161\) 69126.1i 0.0165640i
\(162\) −8.15755e6 + 4.70976e6i −1.91873 + 1.10778i
\(163\) −5.08360e6 2.93502e6i −1.17384 0.677716i −0.219257 0.975667i \(-0.570363\pi\)
−0.954581 + 0.297951i \(0.903697\pi\)
\(164\) −5.08684e6 −1.15323
\(165\) 3.13459e6 5.42927e6i 0.697796 1.20862i
\(166\) −1.28005e7 + 7.39035e6i −2.79835 + 1.61563i
\(167\) 1.05874e6 + 1.83379e6i 0.227321 + 0.393732i 0.957013 0.290044i \(-0.0936699\pi\)
−0.729692 + 0.683776i \(0.760337\pi\)
\(168\) 628358.i 0.132519i
\(169\) −1.93520e6 3.35187e6i −0.400928 0.694428i
\(170\) −1.51072e6 −0.307494
\(171\) 1.49738e6i 0.299464i
\(172\) 1.41328e7 + 736307.i 2.77743 + 0.144702i
\(173\) −728137. −0.140629 −0.0703145 0.997525i \(-0.522400\pi\)
−0.0703145 + 0.997525i \(0.522400\pi\)
\(174\) 278292.i 0.0528266i
\(175\) 7643.44 4412.94i 0.00142618 0.000823406i
\(176\) −2.85133e7 −5.23010
\(177\) 8.87115e6 5.12176e6i 1.59978 0.923633i
\(178\) 5.01993e6 + 8.69477e6i 0.890098 + 1.54169i
\(179\) 8.22427e6 + 4.74828e6i 1.43396 + 0.827899i 0.997420 0.0717836i \(-0.0228691\pi\)
0.436544 + 0.899683i \(0.356202\pi\)
\(180\) 2.65145e6i 0.454638i
\(181\) −766289. + 1.32725e6i −0.129228 + 0.223830i −0.923378 0.383893i \(-0.874583\pi\)
0.794150 + 0.607722i \(0.207917\pi\)
\(182\) −278612. 482570.i −0.0462153 0.0800473i
\(183\) 6.92963e6 1.13072
\(184\) 8.74047e6 5.04631e6i 1.40308 0.810067i
\(185\) 6.11324e6 1.05884e7i 0.965509 1.67231i
\(186\) 1.68622e6 2.92062e6i 0.262045 0.453875i
\(187\) −700399. + 1.21313e6i −0.107108 + 0.185516i
\(188\) −1.16363e6 −0.175122
\(189\) 107533. 186252.i 0.0159278 0.0275877i
\(190\) 2.01760e7 + 1.16486e7i 2.94153 + 1.69829i
\(191\) −7.74700e6 + 4.47273e6i −1.11182 + 0.641908i −0.939300 0.343098i \(-0.888524\pi\)
−0.172518 + 0.985006i \(0.555190\pi\)
\(192\) −2.82228e7 + 1.62944e7i −3.98746 + 2.30216i
\(193\) −2.20411e6 −0.306592 −0.153296 0.988180i \(-0.548989\pi\)
−0.153296 + 0.988180i \(0.548989\pi\)
\(194\) 1.86908e7i 2.55990i
\(195\) 5.25054e6 + 9.09421e6i 0.708110 + 1.22648i
\(196\) 1.04574e7 + 1.81128e7i 1.38886 + 2.40557i
\(197\) −2.76894e6 + 4.79594e6i −0.362172 + 0.627300i −0.988318 0.152406i \(-0.951298\pi\)
0.626146 + 0.779706i \(0.284631\pi\)
\(198\) −2.89470e6 1.67126e6i −0.372914 0.215302i
\(199\) 9.47238e6i 1.20199i 0.799254 + 0.600993i \(0.205228\pi\)
−0.799254 + 0.600993i \(0.794772\pi\)
\(200\) 1.11597e6 + 644303.i 0.139496 + 0.0805379i
\(201\) 1.02561e6 + 592135.i 0.126297 + 0.0729177i
\(202\) −1.54503e7 8.92023e6i −1.87449 1.08224i
\(203\) −3724.14 6450.39i −0.000445182 0.000771077i
\(204\) 4.13139e6i 0.486638i
\(205\) −3.02090e6 + 1.74412e6i −0.350650 + 0.202448i
\(206\) 9.72024e6 + 5.61198e6i 1.11192 + 0.641970i
\(207\) 694560. 0.0783067
\(208\) 2.38804e7 4.13621e7i 2.65370 4.59634i
\(209\) 1.87080e7 1.08011e7i 2.04922 1.18312i
\(210\) 336398. + 582659.i 0.0363242 + 0.0629154i
\(211\) 9.22808e6i 0.982345i −0.871062 0.491173i \(-0.836568\pi\)
0.871062 0.491173i \(-0.163432\pi\)
\(212\) −347102. 601198.i −0.0364292 0.0630972i
\(213\) −8.91689e6 −0.922729
\(214\) 7.38892e6i 0.753945i
\(215\) 8.64544e6 4.40843e6i 0.869905 0.443576i
\(216\) 3.14002e7 3.11581
\(217\) 90261.0i 0.00883326i
\(218\) −8.12690e6 + 4.69207e6i −0.784432 + 0.452892i
\(219\) −4.62517e6 −0.440347
\(220\) −3.31267e7 + 1.91257e7i −3.11107 + 1.79618i
\(221\) −1.17319e6 2.03203e6i −0.108691 0.188258i
\(222\) −3.93679e7 2.27291e7i −3.59819 2.07741i
\(223\) 8.27051e6i 0.745792i 0.927873 + 0.372896i \(0.121635\pi\)
−0.927873 + 0.372896i \(0.878365\pi\)
\(224\) 840742. 1.45621e6i 0.0748030 0.129563i
\(225\) 44340.0 + 76799.2i 0.00389268 + 0.00674232i
\(226\) 3.48103e7 3.01566
\(227\) −6.16525e6 + 3.55951e6i −0.527076 + 0.304307i −0.739825 0.672799i \(-0.765092\pi\)
0.212749 + 0.977107i \(0.431758\pi\)
\(228\) 3.18557e7 5.51756e7i 2.68771 4.65525i
\(229\) −670000. + 1.16047e6i −0.0557915 + 0.0966337i −0.892572 0.450904i \(-0.851102\pi\)
0.836781 + 0.547538i \(0.184435\pi\)
\(230\) 5.40320e6 9.35862e6i 0.444087 0.769180i
\(231\) 623845. 0.0506105
\(232\) 543735. 941777.i 0.0435435 0.0754196i
\(233\) −1.61785e7 9.34066e6i −1.27900 0.738430i −0.302335 0.953202i \(-0.597766\pi\)
−0.976664 + 0.214771i \(0.931099\pi\)
\(234\) 4.84873e6 2.79942e6i 0.378426 0.218484i
\(235\) −691038. + 398971.i −0.0532474 + 0.0307424i
\(236\) −6.25009e7 −4.75499
\(237\) 6.16044e6i 0.462771i
\(238\) −75165.6 130191.i −0.00557556 0.00965715i
\(239\) −6.38276e6 1.10553e7i −0.467536 0.809796i 0.531776 0.846885i \(-0.321525\pi\)
−0.999312 + 0.0370893i \(0.988191\pi\)
\(240\) −2.88334e7 + 4.99409e7i −2.08575 + 3.61262i
\(241\) −1.66134e7 9.59173e6i −1.18688 0.685245i −0.229283 0.973360i \(-0.573638\pi\)
−0.957596 + 0.288115i \(0.906972\pi\)
\(242\) 2.06623e7i 1.45792i
\(243\) 4.11909e6 + 2.37816e6i 0.287067 + 0.165738i
\(244\) −3.66165e7 2.11406e7i −2.52062 1.45528i
\(245\) 1.24206e7 + 7.17105e6i 0.844588 + 0.487623i
\(246\) 6.48464e6 + 1.12317e7i 0.435593 + 0.754469i
\(247\) 3.61843e7i 2.40120i
\(248\) −1.14128e7 + 6.58919e6i −0.748234 + 0.431993i
\(249\) 2.40047e7 + 1.38591e7i 1.55488 + 0.897713i
\(250\) 3.10481e7 1.98708
\(251\) −527749. + 914088.i −0.0333738 + 0.0578052i −0.882230 0.470819i \(-0.843959\pi\)
0.848856 + 0.528624i \(0.177292\pi\)
\(252\) 228497. 131923.i 0.0142784 0.00824362i
\(253\) −5.01007e6 8.67769e6i −0.309373 0.535849i
\(254\) 2.09570e7i 1.27887i
\(255\) 1.41652e6 + 2.45349e6i 0.0854286 + 0.147967i
\(256\) 6.10114e7 3.63657
\(257\) 1.66532e7i 0.981067i −0.871422 0.490533i \(-0.836802\pi\)
0.871422 0.490533i \(-0.163198\pi\)
\(258\) −1.63906e7 3.21438e7i −0.954410 1.87171i
\(259\) 1.21665e6 0.0700274
\(260\) 6.40724e7i 3.64545i
\(261\) 64811.7 37419.1i 0.00364529 0.00210461i
\(262\) 6.65231e6 0.369887
\(263\) −1.98228e7 + 1.14447e7i −1.08968 + 0.629126i −0.933491 0.358602i \(-0.883254\pi\)
−0.156187 + 0.987728i \(0.549920\pi\)
\(264\) 4.55416e7 + 7.88804e7i 2.47512 + 4.28704i
\(265\) −412263. 238020.i −0.0221532 0.0127902i
\(266\) 2.31830e6i 0.123176i
\(267\) 9.41387e6 1.63053e7i 0.494577 0.856633i
\(268\) −3.61292e6 6.25775e6i −0.187695 0.325098i
\(269\) 2.07318e7 1.06507 0.532537 0.846406i \(-0.321239\pi\)
0.532537 + 0.846406i \(0.321239\pi\)
\(270\) 2.91165e7 1.68104e7i 1.47927 0.854058i
\(271\) −1.50629e7 + 2.60897e7i −0.756833 + 1.31087i 0.187625 + 0.982241i \(0.439921\pi\)
−0.944458 + 0.328632i \(0.893412\pi\)
\(272\) 6.44260e6 1.11589e7i 0.320151 0.554517i
\(273\) −522481. + 904963.i −0.0256793 + 0.0444778i
\(274\) 1.02188e7 0.496764
\(275\) 639675. 1.10795e6i 0.0307582 0.0532748i
\(276\) −2.55932e7 1.47762e7i −1.21730 0.702808i
\(277\) −2.43482e7 + 1.40574e7i −1.14559 + 0.661404i −0.947808 0.318843i \(-0.896706\pi\)
−0.197778 + 0.980247i \(0.563372\pi\)
\(278\) −1.03851e6 + 599581.i −0.0483364 + 0.0279070i
\(279\) −906918. −0.0417595
\(280\) 2.62906e6i 0.119764i
\(281\) −2.66888e6 4.62263e6i −0.120284 0.208339i 0.799595 0.600539i \(-0.205047\pi\)
−0.919880 + 0.392200i \(0.871714\pi\)
\(282\) 1.48338e6 + 2.56929e6i 0.0661461 + 0.114568i
\(283\) 8.12759e6 1.40774e7i 0.358593 0.621102i −0.629133 0.777298i \(-0.716590\pi\)
0.987726 + 0.156196i \(0.0499231\pi\)
\(284\) 4.71173e7 + 2.72032e7i 2.05696 + 1.18759i
\(285\) 4.36892e7i 1.88729i
\(286\) −6.99507e7 4.03860e7i −2.99016 1.72637i
\(287\) −300609. 173557.i −0.0127162 0.00734168i
\(288\) 1.46316e7 + 8.44754e6i 0.612511 + 0.353633i
\(289\) 1.17523e7 + 2.03555e7i 0.486887 + 0.843313i
\(290\) 1.16438e6i 0.0477420i
\(291\) −3.03549e7 + 1.75254e7i −1.23183 + 0.711197i
\(292\) 2.44397e7 + 1.41103e7i 0.981628 + 0.566743i
\(293\) −1.13466e7 −0.451088 −0.225544 0.974233i \(-0.572416\pi\)
−0.225544 + 0.974233i \(0.572416\pi\)
\(294\) 2.66620e7 4.61800e7i 1.04918 1.81724i
\(295\) −3.71171e7 + 2.14296e7i −1.44580 + 0.834732i
\(296\) 8.88176e7 + 1.53837e8i 3.42471 + 5.93178i
\(297\) 3.11746e7i 1.18996i
\(298\) −1.89408e7 3.28064e7i −0.715731 1.23968i
\(299\) 1.67841e7 0.627890
\(300\) 3.77320e6i 0.139748i
\(301\) 810063. + 525706.i 0.0297043 + 0.0192772i
\(302\) 4.95183e7 1.79781
\(303\) 3.34562e7i 1.20268i
\(304\) −1.72085e8 + 9.93532e7i −6.12522 + 3.53640i
\(305\) −2.89937e7 −1.02189
\(306\) 1.30812e6 755243.i 0.0456545 0.0263586i
\(307\) 1.14394e7 + 1.98137e7i 0.395356 + 0.684777i 0.993147 0.116875i \(-0.0372877\pi\)
−0.597790 + 0.801653i \(0.703954\pi\)
\(308\) −3.29643e6 1.90319e6i −0.112821 0.0651375i
\(309\) 2.10483e7i 0.713413i
\(310\) −7.05519e6 + 1.22200e7i −0.236823 + 0.410189i
\(311\) 2.55685e6 + 4.42860e6i 0.0850012 + 0.147226i 0.905392 0.424577i \(-0.139577\pi\)
−0.820391 + 0.571804i \(0.806244\pi\)
\(312\) −1.52568e8 −5.02341
\(313\) −2.07838e7 + 1.19995e7i −0.677784 + 0.391319i −0.799020 0.601305i \(-0.794648\pi\)
0.121236 + 0.992624i \(0.461314\pi\)
\(314\) 9.60779e6 1.66412e7i 0.310338 0.537521i
\(315\) 90464.2 156689.i 0.00289431 0.00501309i
\(316\) 1.87940e7 3.25521e7i 0.595603 1.03162i
\(317\) 1.89769e7 0.595727 0.297864 0.954608i \(-0.403726\pi\)
0.297864 + 0.954608i \(0.403726\pi\)
\(318\) −884962. + 1.53280e6i −0.0275197 + 0.0476655i
\(319\) −935012. 539830.i −0.0288035 0.0166297i
\(320\) 1.18085e8 6.81763e7i 3.60366 2.08057i
\(321\) 1.20000e7 6.92821e6i 0.362799 0.209462i
\(322\) 1.07534e6 0.0322092
\(323\) 9.76201e6i 0.289689i
\(324\) −5.38898e7 9.33398e7i −1.58442 2.74430i
\(325\) 1.07148e6 + 1.85586e6i 0.0312129 + 0.0540622i
\(326\) 4.56578e7 7.90817e7i 1.31784 2.28256i
\(327\) 1.52404e7 + 8.79903e6i 0.435865 + 0.251647i
\(328\) 5.06796e7i 1.43619i
\(329\) −68765.0 39701.5i −0.00193099 0.00111486i
\(330\) 8.44590e7 + 4.87624e7i 2.35020 + 1.35689i
\(331\) 4.30140e7 + 2.48342e7i 1.18611 + 0.684803i 0.957421 0.288696i \(-0.0932216\pi\)
0.228693 + 0.973499i \(0.426555\pi\)
\(332\) −8.45614e7 1.46465e8i −2.31078 4.00238i
\(333\) 1.22246e7i 0.331057i
\(334\) −2.85269e7 + 1.64700e7i −0.765624 + 0.442033i
\(335\) −4.29117e6 2.47751e6i −0.114141 0.0658993i
\(336\) −5.73841e6 −0.151277
\(337\) −1.30149e7 + 2.25425e7i −0.340057 + 0.588995i −0.984443 0.175705i \(-0.943780\pi\)
0.644386 + 0.764700i \(0.277113\pi\)
\(338\) 5.21425e7 3.01045e7i 1.35034 0.779617i
\(339\) −3.26398e7 5.65339e7i −0.837817 1.45114i
\(340\) 1.72858e7i 0.439799i
\(341\) 6.54186e6 + 1.13308e7i 0.164983 + 0.285758i
\(342\) −2.32936e7 −0.582316
\(343\) 2.85615e6i 0.0707780i
\(344\) −7.33574e6 + 1.40804e8i −0.180206 + 3.45890i
\(345\) −2.02652e7 −0.493508
\(346\) 1.13271e7i 0.273457i
\(347\) 4.54465e7 2.62386e7i 1.08771 0.627988i 0.154742 0.987955i \(-0.450545\pi\)
0.932965 + 0.359967i \(0.117212\pi\)
\(348\) −3.18425e6 −0.0755561
\(349\) −1.27427e7 + 7.35698e6i −0.299767 + 0.173071i −0.642338 0.766421i \(-0.722036\pi\)
0.342571 + 0.939492i \(0.388702\pi\)
\(350\) 68648.8 + 118903.i 0.00160114 + 0.00277325i
\(351\) 4.52226e7 + 2.61093e7i 1.04577 + 0.603773i
\(352\) 2.43738e8i 5.58851i
\(353\) 1.60938e7 2.78753e7i 0.365877 0.633718i −0.623039 0.782191i \(-0.714102\pi\)
0.988917 + 0.148473i \(0.0474357\pi\)
\(354\) 7.96753e7 + 1.38002e8i 1.79603 + 3.11082i
\(355\) 3.73085e7 0.833916
\(356\) −9.94868e7 + 5.74387e7i −2.20504 + 1.27308i
\(357\) −140958. + 244146.i −0.00309803 + 0.00536594i
\(358\) −7.38655e7 + 1.27939e8i −1.60988 + 2.78839i
\(359\) −8.92817e6 + 1.54640e7i −0.192965 + 0.334225i −0.946232 0.323490i \(-0.895144\pi\)
0.753266 + 0.657716i \(0.228477\pi\)
\(360\) 2.64161e7 0.566189
\(361\) 5.17484e7 8.96309e7i 1.09996 1.90518i
\(362\) −2.06470e7 1.19206e7i −0.435243 0.251288i
\(363\) 3.35567e7 1.93740e7i 0.701551 0.405041i
\(364\) 5.52164e6 3.18792e6i 0.114489 0.0661002i
\(365\) 1.93518e7 0.397964
\(366\) 1.07799e8i 2.19873i
\(367\) −7.58524e6 1.31380e7i −0.153451 0.265786i 0.779043 0.626971i \(-0.215706\pi\)
−0.932494 + 0.361185i \(0.882372\pi\)
\(368\) 4.60849e7 + 7.98215e7i 0.924731 + 1.60168i
\(369\) 1.74385e6 3.02043e6i 0.0347080 0.0601160i
\(370\) 1.64716e8 + 9.50991e7i 3.25186 + 1.87746i
\(371\) 47370.7i 0.000927659i
\(372\) 3.34182e7 + 1.92940e7i 0.649163 + 0.374795i
\(373\) 4.79103e7 + 2.76610e7i 0.923214 + 0.533018i 0.884659 0.466239i \(-0.154391\pi\)
0.0385548 + 0.999256i \(0.487725\pi\)
\(374\) −1.88717e7 1.08956e7i −0.360742 0.208274i
\(375\) −2.91122e7 5.04239e7i −0.552054 0.956186i
\(376\) 1.15931e7i 0.218090i
\(377\) 1.56618e6 904233.i 0.0292292 0.0168755i
\(378\) 2.89738e6 + 1.67280e6i 0.0536451 + 0.0309720i
\(379\) −2.33796e7 −0.429457 −0.214728 0.976674i \(-0.568887\pi\)
−0.214728 + 0.976674i \(0.568887\pi\)
\(380\) −1.33285e8 + 2.30856e8i −2.42901 + 4.20718i
\(381\) 3.40353e7 1.96503e7i 0.615395 0.355299i
\(382\) −6.95789e7 1.20514e8i −1.24821 2.16196i
\(383\) 3.22634e7i 0.574268i 0.957890 + 0.287134i \(0.0927024\pi\)
−0.957890 + 0.287134i \(0.907298\pi\)
\(384\) −1.24244e8 2.15197e8i −2.19423 3.80052i
\(385\) −2.61018e6 −0.0457392
\(386\) 3.42876e7i 0.596177i
\(387\) −5.28215e6 + 8.13928e6i −0.0911335 + 0.140428i
\(388\) 2.13863e8 3.66134
\(389\) 1.03052e8i 1.75069i −0.483499 0.875345i \(-0.660634\pi\)
0.483499 0.875345i \(-0.339366\pi\)
\(390\) −1.41472e8 + 8.16787e7i −2.38493 + 1.37694i
\(391\) 4.52811e6 0.0757507
\(392\) −1.80456e8 + 1.04186e8i −2.99580 + 1.72963i
\(393\) −6.23754e6 1.08037e7i −0.102763 0.177990i
\(394\) −7.46069e7 4.30743e7i −1.21980 0.704254i
\(395\) 2.57754e7i 0.418229i
\(396\) 1.91228e7 3.31216e7i 0.307939 0.533367i
\(397\) 3.44680e7 + 5.97003e7i 0.550864 + 0.954124i 0.998213 + 0.0597642i \(0.0190349\pi\)
−0.447349 + 0.894360i \(0.647632\pi\)
\(398\) −1.47355e8 −2.33730
\(399\) 3.76505e6 2.17375e6i 0.0592723 0.0342209i
\(400\) −5.88403e6 + 1.01914e7i −0.0919380 + 0.159241i
\(401\) −4.92073e7 + 8.52295e7i −0.763126 + 1.32177i 0.178106 + 0.984011i \(0.443003\pi\)
−0.941232 + 0.337762i \(0.890330\pi\)
\(402\) −9.21140e6 + 1.59546e7i −0.141791 + 0.245589i
\(403\) −2.19157e7 −0.334842
\(404\) 1.02066e8 1.76784e8i 1.54789 2.68102i
\(405\) −6.40065e7 3.69542e7i −0.963517 0.556287i
\(406\) 100344. 57933.6i 0.00149938 0.000865669i
\(407\) 1.52732e8 8.81797e7i 2.26541 1.30793i
\(408\) −4.11606e7 −0.606040
\(409\) 3.88645e7i 0.568045i −0.958818 0.284023i \(-0.908331\pi\)
0.958818 0.284023i \(-0.0916691\pi\)
\(410\) −2.71319e7 4.69938e7i −0.393666 0.681850i
\(411\) −9.58168e6 1.65960e7i −0.138012 0.239043i
\(412\) −6.42131e7 + 1.11220e8i −0.918188 + 1.59035i
\(413\) −3.69351e6 2.13245e6i −0.0524312 0.0302712i
\(414\) 1.08047e7i 0.152270i
\(415\) −1.00436e8 5.79869e7i −1.40523 0.811307i
\(416\) 3.53573e8 + 2.04135e8i 4.91132 + 2.83555i
\(417\) 1.94751e6 + 1.12439e6i 0.0268578 + 0.0155064i
\(418\) 1.68024e8 + 2.91026e8i 2.30060 + 3.98476i
\(419\) 4.04998e7i 0.550568i 0.961363 + 0.275284i \(0.0887719\pi\)
−0.961363 + 0.275284i \(0.911228\pi\)
\(420\) −6.66687e6 + 3.84912e6i −0.0899858 + 0.0519533i
\(421\) −6.63420e7 3.83026e7i −0.889083 0.513312i −0.0154406 0.999881i \(-0.504915\pi\)
−0.873642 + 0.486568i \(0.838248\pi\)
\(422\) 1.43554e8 1.91020
\(423\) 398910. 690932.i 0.00527052 0.00912881i
\(424\) 5.98967e6 3.45814e6i 0.0785787 0.0453675i
\(425\) 289070. + 500684.i 0.00376562 + 0.00652224i
\(426\) 1.38713e8i 1.79428i
\(427\) −1.44258e6 2.49862e6i −0.0185292 0.0320935i
\(428\) −8.45450e7 −1.07834
\(429\) 1.51472e8i 1.91849i
\(430\) 6.85785e7 + 1.34491e8i 0.862547 + 1.69156i
\(431\) −1.20184e8 −1.50112 −0.750561 0.660801i \(-0.770217\pi\)
−0.750561 + 0.660801i \(0.770217\pi\)
\(432\) 2.86759e8i 3.55685i
\(433\) −1.69668e7 + 9.79579e6i −0.208995 + 0.120663i −0.600844 0.799366i \(-0.705169\pi\)
0.391849 + 0.920030i \(0.371836\pi\)
\(434\) −1.40412e6 −0.0171765
\(435\) −1.89102e6 + 1.09178e6i −0.0229735 + 0.0132638i
\(436\) −5.36873e7 9.29891e7i −0.647757 1.12195i
\(437\) −6.04739e7 3.49146e7i −0.724642 0.418372i
\(438\) 7.19503e7i 0.856269i
\(439\) 3.95058e7 6.84261e7i 0.466947 0.808775i −0.532340 0.846530i \(-0.678687\pi\)
0.999287 + 0.0377550i \(0.0120206\pi\)
\(440\) −1.90547e8 3.30037e8i −2.23689 3.87440i
\(441\) −1.43399e7 −0.167198
\(442\) 3.16108e7 1.82505e7i 0.366073 0.211353i
\(443\) −5.06750e6 + 8.77717e6i −0.0582885 + 0.100959i −0.893697 0.448671i \(-0.851898\pi\)
0.835409 + 0.549629i \(0.185231\pi\)
\(444\) 2.60069e8 4.50453e8i 2.97126 5.14637i
\(445\) −3.93878e7 + 6.82217e7i −0.446974 + 0.774181i
\(446\) −1.28658e8 −1.45022
\(447\) −3.55197e7 + 6.15219e7i −0.397691 + 0.688822i
\(448\) 1.17506e7 + 6.78421e6i 0.130685 + 0.0754510i
\(449\) −3.64621e7 + 2.10514e7i −0.402812 + 0.232564i −0.687697 0.725998i \(-0.741378\pi\)
0.284885 + 0.958562i \(0.408045\pi\)
\(450\) −1.19471e6 + 689764.i −0.0131106 + 0.00756943i
\(451\) −5.03156e7 −0.548495
\(452\) 3.98304e8i 4.31320i
\(453\) −4.64307e7 8.04204e7i −0.499472 0.865111i
\(454\) −5.53726e7 9.59081e7i −0.591735 1.02492i
\(455\) 2.18607e6 3.78639e6i 0.0232076 0.0401967i
\(456\) 5.49708e8 + 3.17374e8i 5.79746 + 3.34717i
\(457\) 4.50543e7i 0.472050i −0.971747 0.236025i \(-0.924155\pi\)
0.971747 0.236025i \(-0.0758447\pi\)
\(458\) −1.80526e7 1.04227e7i −0.187907 0.108488i
\(459\) 1.22004e7 + 7.04392e6i 0.126164 + 0.0728411i
\(460\) 1.07083e8 + 6.18242e7i 1.10013 + 0.635162i
\(461\) 3.70341e6 + 6.41449e6i 0.0378006 + 0.0654726i 0.884307 0.466906i \(-0.154631\pi\)
−0.846506 + 0.532379i \(0.821298\pi\)
\(462\) 9.70468e6i 0.0984136i
\(463\) −8.70010e7 + 5.02301e7i −0.876559 + 0.506082i −0.869522 0.493893i \(-0.835573\pi\)
−0.00703690 + 0.999975i \(0.502240\pi\)
\(464\) 8.60068e6 + 4.96560e6i 0.0860952 + 0.0497071i
\(465\) 2.64612e7 0.263179
\(466\) 1.45305e8 2.51677e8i 1.43590 2.48705i
\(467\) 5.14874e7 2.97262e7i 0.505534 0.291870i −0.225462 0.974252i \(-0.572389\pi\)
0.730996 + 0.682382i \(0.239056\pi\)
\(468\) 3.20313e7 + 5.54799e7i 0.312491 + 0.541250i
\(469\) 493073.i 0.00477961i
\(470\) −6.20649e6 1.07499e7i −0.0597795 0.103541i
\(471\) −3.60350e7 −0.344875
\(472\) 6.22689e8i 5.92168i
\(473\) 1.39792e8 + 7.28305e6i 1.32099 + 0.0688224i
\(474\) −9.58332e7 −0.899873
\(475\) 8.91565e6i 0.0831902i
\(476\) 1.48966e6 860056.i 0.0138123 0.00797454i
\(477\) 475968. 0.00438553
\(478\) 1.71978e8 9.92918e7i 1.57467 0.909137i
\(479\) 7.91280e7 + 1.37054e8i 0.719985 + 1.24705i 0.961005 + 0.276531i \(0.0891848\pi\)
−0.241020 + 0.970520i \(0.577482\pi\)
\(480\) −4.26906e8 2.46474e8i −3.86019 2.22868i
\(481\) 2.95408e8i 2.65453i
\(482\) 1.49211e8 2.58442e8i 1.33248 2.30792i
\(483\) −1.00829e6 1.74642e6i −0.00894841 0.0154991i
\(484\) −2.36421e8 −2.08521
\(485\) 1.27006e8 7.33268e7i 1.11326 0.642743i
\(486\) −3.69952e7 + 6.40776e7i −0.322283 + 0.558210i
\(487\) 8.07550e6 1.39872e7i 0.0699169 0.121100i −0.828948 0.559326i \(-0.811060\pi\)
0.898865 + 0.438227i \(0.144393\pi\)
\(488\) 2.10621e8 3.64806e8i 1.81235 3.13908i
\(489\) −1.71244e8 −1.46450
\(490\) −1.11555e8 + 1.93218e8i −0.948198 + 1.64233i
\(491\) 7.24957e7 + 4.18554e7i 0.612446 + 0.353596i 0.773922 0.633281i \(-0.218292\pi\)
−0.161476 + 0.986877i \(0.551626\pi\)
\(492\) −1.28515e8 + 7.41981e7i −1.07909 + 0.623014i
\(493\) 422533. 243949.i 0.00352630 0.00203591i
\(494\) −5.62892e8 −4.66922
\(495\) 2.62264e7i 0.216233i
\(496\) −6.01751e7 1.04226e8i −0.493142 0.854147i
\(497\) 1.85628e6 + 3.21517e6i 0.0151208 + 0.0261900i
\(498\) −2.15596e8 + 3.73423e8i −1.74563 + 3.02352i
\(499\) 1.17207e7 + 6.76696e6i 0.0943307 + 0.0544618i 0.546423 0.837509i \(-0.315989\pi\)
−0.452093 + 0.891971i \(0.649322\pi\)
\(500\) 3.55257e8i 2.84206i
\(501\) 5.34965e7 + 3.08862e7i 0.425414 + 0.245613i
\(502\) −1.42198e7 8.20979e6i −0.112404 0.0648964i
\(503\) 1.50905e8 + 8.71250e7i 1.18577 + 0.684603i 0.957342 0.288959i \(-0.0933090\pi\)
0.228425 + 0.973561i \(0.426642\pi\)
\(504\) 1.31433e6 + 2.27649e6i 0.0102663 + 0.0177817i
\(505\) 1.39981e8i 1.08692i
\(506\) 1.34992e8 7.79378e7i 1.04198 0.601585i
\(507\) −9.77828e7 5.64549e7i −0.750306 0.433190i
\(508\) −2.39792e8 −1.82913
\(509\) −6.33384e7 + 1.09705e8i −0.480302 + 0.831907i −0.999745 0.0225983i \(-0.992806\pi\)
0.519443 + 0.854505i \(0.326139\pi\)
\(510\) −3.81671e7 + 2.20358e7i −0.287726 + 0.166118i
\(511\) 962848. + 1.66770e6i 0.00721598 + 0.0124984i
\(512\) 4.03965e8i 3.00977i
\(513\) −1.08626e8 1.88146e8i −0.804605 1.39362i
\(514\) 2.59061e8 1.90771
\(515\) 8.80665e7i 0.644747i
\(516\) 3.67794e8 1.87543e8i 2.67705 1.36506i
\(517\) −1.15098e7 −0.0832907
\(518\) 1.89266e7i 0.136170i
\(519\) −1.83958e7 + 1.06208e7i −0.131588 + 0.0759725i
\(520\) 6.38346e8 4.53990
\(521\) 5.81545e7 3.35755e7i 0.411216 0.237416i −0.280096 0.959972i \(-0.590366\pi\)
0.691312 + 0.722556i \(0.257033\pi\)
\(522\) 582100. + 1.00823e6i 0.00409248 + 0.00708838i
\(523\) −1.98082e8 1.14363e8i −1.38465 0.799430i −0.391947 0.919988i \(-0.628198\pi\)
−0.992706 + 0.120558i \(0.961532\pi\)
\(524\) 7.61167e7i 0.529037i
\(525\) 128737. 222979.i 0.000889663 0.00154094i
\(526\) −1.78037e8 3.08368e8i −1.22335 2.11891i
\(527\) −5.91255e6 −0.0403964
\(528\) −7.20367e8 + 4.15904e8i −4.89386 + 2.82547i
\(529\) 5.78228e7 1.00152e8i 0.390600 0.676539i
\(530\) 3.70270e6 6.41327e6i 0.0248709 0.0430776i
\(531\) 2.14263e7 3.71114e7i 0.143108 0.247870i
\(532\) −2.65263e7 −0.176174
\(533\) 4.21402e7 7.29889e7i 0.278301 0.482031i
\(534\) 2.53649e8 + 1.46444e8i 1.66575 + 0.961721i
\(535\) −5.02083e7 + 2.89878e7i −0.327880 + 0.189301i
\(536\) 6.23453e7 3.59951e7i 0.404864 0.233748i
\(537\) 2.77040e8 1.78904
\(538\) 3.22509e8i 2.07107i
\(539\) 1.03438e8 + 1.79160e8i 0.660562 + 1.14413i
\(540\) 1.92347e8 + 3.33155e8i 1.22153 + 2.11576i
\(541\) 7.65467e7 1.32583e8i 0.483431 0.837327i −0.516388 0.856355i \(-0.672724\pi\)
0.999819 + 0.0190276i \(0.00605703\pi\)
\(542\) −4.05857e8 2.34322e8i −2.54903 1.47168i
\(543\) 4.47093e7i 0.279253i
\(544\) 9.53889e7 + 5.50728e7i 0.592518 + 0.342090i
\(545\) −6.37660e7 3.68153e7i −0.393913 0.227426i
\(546\) −1.40778e7 8.12784e6i −0.0864884 0.0499341i
\(547\) −2.49314e6 4.31825e6i −0.0152330 0.0263843i 0.858308 0.513134i \(-0.171516\pi\)
−0.873541 + 0.486750i \(0.838182\pi\)
\(548\) 1.16925e8i 0.710505i
\(549\) 2.51055e7 1.44946e7i 0.151723 0.0875972i
\(550\) 1.72355e7 + 9.95094e6i 0.103595 + 0.0598103i
\(551\) −7.52403e6 −0.0449775
\(552\) 1.47214e8 2.54982e8i 0.875250 1.51598i
\(553\) 2.22127e6 1.28245e6i 0.0131349 0.00758344i
\(554\) −2.18681e8 3.78766e8i −1.28612 2.22763i
\(555\) 3.56678e8i 2.08640i
\(556\) −6.86049e6 1.18827e7i −0.0399145 0.0691340i
\(557\) 2.57034e6 0.0148739 0.00743695 0.999972i \(-0.497633\pi\)
0.00743695 + 0.999972i \(0.497633\pi\)
\(558\) 1.41082e7i 0.0812026i
\(559\) −1.27643e8 + 1.96686e8i −0.730740 + 1.12600i
\(560\) 2.40097e7 0.136717
\(561\) 4.08649e7i 0.231453i
\(562\) 7.19107e7 4.15177e7i 0.405121 0.233897i
\(563\) 2.94593e6 0.0165081 0.00825405 0.999966i \(-0.497373\pi\)
0.00825405 + 0.999966i \(0.497373\pi\)
\(564\) −2.93981e7 + 1.69730e7i −0.163863 + 0.0946066i
\(565\) 1.36566e8 + 2.36539e8i 0.757176 + 1.31147i
\(566\) 2.18991e8 + 1.26435e8i 1.20775 + 0.697296i
\(567\) 7.35461e6i 0.0403469i
\(568\) −2.71022e8 + 4.69424e8i −1.47897 + 2.56166i
\(569\) 1.23198e8 + 2.13385e8i 0.668754 + 1.15832i 0.978253 + 0.207416i \(0.0665055\pi\)
−0.309498 + 0.950900i \(0.600161\pi\)
\(570\) 6.79640e8 3.66990
\(571\) 1.76447e8 1.01872e8i 0.947776 0.547199i 0.0553865 0.998465i \(-0.482361\pi\)
0.892389 + 0.451266i \(0.149028\pi\)
\(572\) 4.62103e8 8.00385e8i 2.46917 4.27672i
\(573\) −1.30481e8 + 2.26000e8i −0.693560 + 1.20128i
\(574\) 2.69989e6 4.67634e6i 0.0142761 0.0247270i
\(575\) −4.13552e6 −0.0217534
\(576\) −6.81658e7 + 1.18067e8i −0.356697 + 0.617817i
\(577\) 1.56805e8 + 9.05314e7i 0.816268 + 0.471272i 0.849128 0.528188i \(-0.177128\pi\)
−0.0328601 + 0.999460i \(0.510462\pi\)
\(578\) −3.16656e8 + 1.82821e8i −1.63985 + 0.946767i
\(579\) −5.56850e7 + 3.21498e7i −0.286882 + 0.165631i
\(580\) 1.33230e7 0.0682838
\(581\) 1.15405e7i 0.0588433i
\(582\) −2.72630e8 4.72209e8i −1.38294 2.39533i
\(583\) −3.43330e6 5.94664e6i −0.0173263 0.0300100i
\(584\) −1.40579e8 + 2.43490e8i −0.705799 + 1.22248i
\(585\) 3.80446e7 + 2.19650e7i 0.190031 + 0.109715i
\(586\) 1.76510e8i 0.877154i
\(587\) 7.40697e7 + 4.27642e7i 0.366207 + 0.211430i 0.671800 0.740733i \(-0.265521\pi\)
−0.305593 + 0.952162i \(0.598855\pi\)
\(588\) 5.28398e8 + 3.05071e8i 2.59914 + 1.50061i
\(589\) 7.89634e7 + 4.55895e7i 0.386438 + 0.223110i
\(590\) −3.33363e8 5.77402e8i −1.62316 2.81140i
\(591\) 1.61554e8i 0.782629i
\(592\) −1.40490e9 + 8.11118e8i −6.77142 + 3.90948i
\(593\) −1.31976e8 7.61962e7i −0.632892 0.365401i 0.148979 0.988840i \(-0.452401\pi\)
−0.781871 + 0.623440i \(0.785735\pi\)
\(594\) 4.84960e8 2.31391
\(595\) 589771. 1.02151e6i 0.00279984 0.00484946i
\(596\) 3.75376e8 2.16723e8i 1.77308 1.02369i
\(597\) 1.38167e8 + 2.39312e8i 0.649353 + 1.12471i
\(598\) 2.61097e8i 1.22095i
\(599\) 3.18579e7 + 5.51795e7i 0.148230 + 0.256742i 0.930573 0.366105i \(-0.119309\pi\)
−0.782343 + 0.622848i \(0.785976\pi\)
\(600\) 3.75920e7 0.174037
\(601\) 2.16657e8i 0.998044i −0.866589 0.499022i \(-0.833693\pi\)
0.866589 0.499022i \(-0.166307\pi\)
\(602\) −8.17802e6 + 1.26015e7i −0.0374851 + 0.0577609i
\(603\) 4.95426e6 0.0225957
\(604\) 5.66595e8i 2.57135i
\(605\) −1.40402e8 + 8.10612e7i −0.634026 + 0.366055i
\(606\) −5.20452e8 −2.33864
\(607\) 6.59918e7 3.81004e7i 0.295069 0.170358i −0.345156 0.938545i \(-0.612174\pi\)
0.640226 + 0.768187i \(0.278841\pi\)
\(608\) −8.49293e8 1.47102e9i −3.77874 6.54497i
\(609\) −188175. 108643.i −0.000833123 0.000481004i
\(610\) 4.51033e8i 1.98710i
\(611\) 9.63967e6 1.66964e7i 0.0422609 0.0731980i
\(612\) 8.64160e6 + 1.49677e7i 0.0376999 + 0.0652981i
\(613\) 1.74252e8 0.756478 0.378239 0.925708i \(-0.376530\pi\)
0.378239 + 0.925708i \(0.376530\pi\)
\(614\) −3.08226e8 + 1.77954e8i −1.33157 + 0.768783i
\(615\) −5.08804e7 + 8.81274e7i −0.218738 + 0.378866i
\(616\) 1.89613e7 3.28419e7i 0.0811197 0.140503i
\(617\) −1.14669e8 + 1.98612e8i −0.488191 + 0.845571i −0.999908 0.0135828i \(-0.995676\pi\)
0.511717 + 0.859154i \(0.329010\pi\)
\(618\) 3.27432e8 1.38725
\(619\) 1.20075e8 2.07976e8i 0.506268 0.876882i −0.493705 0.869629i \(-0.664358\pi\)
0.999974 0.00725313i \(-0.00230876\pi\)
\(620\) −1.39822e8 8.07265e7i −0.586681 0.338720i
\(621\) −8.72716e7 + 5.03863e7i −0.364417 + 0.210396i
\(622\) −6.88924e7 + 3.97750e7i −0.286286 + 0.165287i
\(623\) −7.83895e6 −0.0324186
\(624\) 1.39331e9i 5.73447i
\(625\) 1.16129e8 + 2.01142e8i 0.475666 + 0.823878i
\(626\) −1.86667e8 3.23317e8i −0.760931 1.31797i
\(627\) 3.15095e8 5.45760e8i 1.27832 2.21411i
\(628\) 1.90411e8 + 1.09934e8i 0.768799 + 0.443866i
\(629\) 7.96970e7i 0.320251i
\(630\) 2.43749e6 + 1.40728e6i 0.00974811 + 0.00562808i
\(631\) −3.39232e8 1.95856e8i −1.35023 0.779557i −0.361951 0.932197i \(-0.617889\pi\)
−0.988282 + 0.152640i \(0.951222\pi\)
\(632\) 3.24313e8 + 1.87242e8i 1.28473 + 0.741741i
\(633\) −1.34604e8 2.33140e8i −0.530696 0.919192i
\(634\) 2.95209e8i 1.15841i
\(635\) −1.42404e8 + 8.22172e7i −0.556163 + 0.321101i
\(636\) −1.75385e7 1.01259e7i −0.0681744 0.0393605i
\(637\) −3.46524e8 −1.34065
\(638\) 8.39772e6 1.45453e7i 0.0323370 0.0560093i
\(639\) −3.23051e7 + 1.86514e7i −0.123814 + 0.0714839i
\(640\) 5.19841e8 + 9.00391e8i 1.98304 + 3.43472i
\(641\) 3.16004e8i 1.19983i 0.800066 + 0.599913i \(0.204798\pi\)
−0.800066 + 0.599913i \(0.795202\pi\)
\(642\) 1.07777e8 + 1.86675e8i 0.407306 + 0.705475i
\(643\) −2.06061e8 −0.775108 −0.387554 0.921847i \(-0.626680\pi\)
−0.387554 + 0.921847i \(0.626680\pi\)
\(644\) 1.23042e7i 0.0460677i
\(645\) 1.54118e8 2.37480e8i 0.574345 0.885011i
\(646\) −1.51860e8 −0.563309
\(647\) 1.14893e8i 0.424211i −0.977247 0.212106i \(-0.931968\pi\)
0.977247 0.212106i \(-0.0680321\pi\)
\(648\) 9.29934e8 5.36898e8i 3.41765 1.97318i
\(649\) −6.18216e8 −2.26155
\(650\) −2.88701e7 + 1.66682e7i −0.105126 + 0.0606943i
\(651\) 1.31657e6 + 2.28037e6i 0.00477202 + 0.00826538i
\(652\) 9.04864e8 + 5.22423e8i 3.26468 + 1.88486i
\(653\) 1.08184e8i 0.388528i −0.980949 0.194264i \(-0.937768\pi\)
0.980949 0.194264i \(-0.0622319\pi\)
\(654\) −1.36880e8 + 2.37083e8i −0.489335 + 0.847553i
\(655\) 2.60980e7 + 4.52031e7i 0.0928717 + 0.160858i
\(656\) 4.62826e8 1.63948
\(657\) −1.67566e7 + 9.67443e6i −0.0590867 + 0.0341137i
\(658\) 617606. 1.06973e6i 0.00216787 0.00375487i
\(659\) −7.14166e7 + 1.23697e8i −0.249542 + 0.432219i −0.963399 0.268073i \(-0.913613\pi\)
0.713857 + 0.700291i \(0.246947\pi\)
\(660\) −5.57946e8 + 9.66391e8i −1.94071 + 3.36141i
\(661\) 1.97261e8 0.683025 0.341513 0.939877i \(-0.389061\pi\)
0.341513 + 0.939877i \(0.389061\pi\)
\(662\) −3.86326e8 + 6.69137e8i −1.33162 + 2.30643i
\(663\) −5.92796e7 3.42251e7i −0.203406 0.117437i
\(664\) 1.45921e9 8.42476e8i 4.98441 2.87775i
\(665\) −1.57531e7 + 9.09503e6i −0.0535673 + 0.0309271i
\(666\) −1.90169e8 −0.643750
\(667\) 3.49002e6i 0.0117612i
\(668\) −1.88452e8 3.26409e8i −0.632226 1.09505i
\(669\) 1.20636e8 + 2.08948e8i 0.402902 + 0.697846i
\(670\) 3.85407e7 6.67545e7i 0.128143 0.221950i
\(671\) −3.62186e8 2.09108e8i −1.19885 0.692155i
\(672\) 4.90533e7i 0.161644i
\(673\) −1.61435e8 9.32043e7i −0.529604 0.305767i 0.211251 0.977432i \(-0.432246\pi\)
−0.740855 + 0.671665i \(0.765580\pi\)
\(674\) −3.50676e8 2.02463e8i −1.14532 0.661251i
\(675\) −1.11427e7 6.43322e6i −0.0362308 0.0209178i
\(676\) 3.44460e8 + 5.96622e8i 1.11506 + 1.93134i
\(677\) 3.12709e8i 1.00780i −0.863762 0.503900i \(-0.831898\pi\)
0.863762 0.503900i \(-0.168102\pi\)
\(678\) 8.79454e8 5.07753e8i 2.82179 1.62916i
\(679\) 1.26383e7 + 7.29674e6i 0.0403720 + 0.0233088i
\(680\) 1.72217e8 0.547708
\(681\) −1.03840e8 + 1.79856e8i −0.328794 + 0.569488i
\(682\) −1.76265e8 + 1.01767e8i −0.555666 + 0.320814i
\(683\) 2.43889e8 + 4.22429e8i 0.765474 + 1.32584i 0.939996 + 0.341187i \(0.110829\pi\)
−0.174521 + 0.984653i \(0.555838\pi\)
\(684\) 2.66529e8i 0.832868i
\(685\) 4.00900e7 + 6.94379e7i 0.124728 + 0.216035i
\(686\) −4.44310e7 −0.137630
\(687\) 3.90913e7i 0.120562i
\(688\) −1.28587e9 6.69929e7i −3.94851 0.205714i
\(689\) 1.15018e7 0.0351648
\(690\) 3.15251e8i 0.959641i
\(691\) 4.30022e8 2.48273e8i 1.30333 0.752481i 0.322360 0.946617i \(-0.395524\pi\)
0.980975 + 0.194136i \(0.0621904\pi\)
\(692\) 1.29606e8 0.391117
\(693\) 2.26014e6 1.30489e6i 0.00679102 0.00392080i
\(694\) 4.08173e8 + 7.06977e8i 1.22114 + 2.11508i
\(695\) −8.14841e6 4.70449e6i −0.0242727 0.0140139i
\(696\) 3.17243e7i 0.0940946i
\(697\) 1.13688e7 1.96914e7i 0.0335751 0.0581538i
\(698\) −1.14447e8 1.98228e8i −0.336541 0.582906i
\(699\) −5.44982e8 −1.59570
\(700\) −1.36051e6 + 785489.i −0.00396649 + 0.00229006i
\(701\) −6.44281e7 + 1.11593e8i −0.187034 + 0.323953i −0.944260 0.329200i \(-0.893221\pi\)
0.757226 + 0.653153i \(0.226554\pi\)
\(702\) −4.06163e8 + 7.03494e8i −1.17406 + 2.03352i
\(703\) 6.14515e8 1.06437e9i 1.76875 3.06356i
\(704\) 1.96680e9 5.63693
\(705\) −1.16390e7 + 2.01594e7i −0.0332161 + 0.0575320i
\(706\) 4.33635e8 + 2.50360e8i 1.23228 + 0.711459i
\(707\) 1.20633e7 6.96476e6i 0.0341357 0.0197082i
\(708\) −1.57903e9 + 9.11656e8i −4.44930 + 2.56881i
\(709\) −2.23174e8 −0.626190 −0.313095 0.949722i \(-0.601366\pi\)
−0.313095 + 0.949722i \(0.601366\pi\)
\(710\) 5.80379e8i 1.62157i
\(711\) 1.28857e7 + 2.23187e7i 0.0358509 + 0.0620956i
\(712\) −5.72255e8 9.91175e8i −1.58544 2.74606i
\(713\) 2.11467e7 3.66271e7i 0.0583410 0.101050i
\(714\) −3.79800e6 2.19278e6i −0.0104342 0.00602420i
\(715\) 6.33761e8i 1.73383i
\(716\) −1.46389e9 8.45179e8i −3.98814 2.30255i
\(717\) −3.22511e8 1.86202e8i −0.874957 0.505157i
\(718\) −2.40562e8 1.38889e8i −0.649912 0.375227i
\(719\) −8.48392e7 1.46946e8i −0.228249 0.395340i 0.729040 0.684471i \(-0.239967\pi\)
−0.957289 + 0.289132i \(0.906634\pi\)
\(720\) 2.41242e8i 0.646333i
\(721\) −7.58940e6 + 4.38174e6i −0.0202489 + 0.0116907i
\(722\) 1.39432e9 + 8.05011e8i 3.70468 + 2.13890i
\(723\) −5.59631e8 −1.48077
\(724\) 1.36397e8 2.36246e8i 0.359409 0.622514i
\(725\) −385900. + 222799.i −0.00101265 + 0.000584655i
\(726\) 3.01386e8 + 5.22016e8i 0.787614 + 1.36419i
\(727\) 3.79985e8i 0.988925i −0.869199 0.494463i \(-0.835365\pi\)
0.869199 0.494463i \(-0.164635\pi\)
\(728\) 3.17609e7 + 5.50114e7i 0.0823186 + 0.142580i
\(729\) −3.02666e8 −0.781233
\(730\) 3.01042e8i 0.773852i
\(731\) −3.44364e7 + 5.30632e7i −0.0881588 + 0.135844i
\(732\) −1.23345e9 −3.14477
\(733\) 7.46515e8i 1.89551i 0.318997 + 0.947756i \(0.396654\pi\)
−0.318997 + 0.947756i \(0.603346\pi\)
\(734\) 2.04378e8 1.17998e8i 0.516828 0.298391i
\(735\) 4.18396e8 1.05372
\(736\) −6.82332e8 + 3.93944e8i −1.71144 + 0.988102i
\(737\) −3.57365e7 6.18975e7i −0.0892709 0.154622i
\(738\) 4.69866e7 + 2.71277e7i 0.116897 + 0.0674908i
\(739\) 4.67169e8i 1.15755i 0.815487 + 0.578776i \(0.196469\pi\)
−0.815487 + 0.578776i \(0.803531\pi\)
\(740\) −1.08814e9 + 1.88471e9i −2.68527 + 4.65103i
\(741\) 5.27795e8 + 9.14167e8i 1.29721 + 2.24683i
\(742\) 736911. 0.00180386
\(743\) 6.71638e8 3.87770e8i 1.63745 0.945384i 0.655748 0.754980i \(-0.272354\pi\)
0.981706 0.190404i \(-0.0609798\pi\)
\(744\) −1.92224e8 + 3.32941e8i −0.466754 + 0.808442i
\(745\) 1.48615e8 2.57409e8i 0.359413 0.622522i
\(746\) −4.30301e8 + 7.45304e8i −1.03647 + 1.79522i
\(747\) 1.15956e8 0.278183
\(748\) 1.24669e8 2.15933e8i 0.297888 0.515957i
\(749\) −4.99622e6 2.88457e6i −0.0118904 0.00686492i
\(750\) 7.84406e8 4.52877e8i 1.85933 1.07349i
\(751\) 4.01930e8 2.32055e8i 0.948923 0.547861i 0.0561766 0.998421i \(-0.482109\pi\)
0.892746 + 0.450560i \(0.148776\pi\)
\(752\) 1.05873e8 0.248960
\(753\) 3.07916e7i 0.0721186i
\(754\) 1.40665e7 + 2.43638e7i 0.0328149 + 0.0568371i
\(755\) 1.94267e8 + 3.36481e8i 0.451397 + 0.781843i
\(756\) −1.91404e7 + 3.31522e7i −0.0442983 + 0.0767268i
\(757\) −2.51000e8 1.44915e8i −0.578610 0.334061i 0.181971 0.983304i \(-0.441752\pi\)
−0.760581 + 0.649243i \(0.775086\pi\)
\(758\) 3.63699e8i 0.835092i
\(759\) −2.53151e8 1.46157e8i −0.578967 0.334267i
\(760\) −2.29999e9 1.32790e9i −5.23945 3.02500i
\(761\) 1.65630e8 + 9.56263e7i 0.375823 + 0.216982i 0.676000 0.736902i \(-0.263712\pi\)
−0.300176 + 0.953884i \(0.597045\pi\)
\(762\) 3.05684e8 + 5.29461e8i 0.690889 + 1.19665i
\(763\) 7.32697e6i 0.0164950i
\(764\) 1.37894e9 7.96132e8i 3.09219 1.78527i
\(765\) 1.02639e7 + 5.92586e6i 0.0229260 + 0.0132363i
\(766\) −5.01898e8 −1.11668
\(767\) 5.17767e8 8.96799e8i 1.14749 1.98751i
\(768\) 1.54141e9 8.89931e8i 3.40278 1.96459i
\(769\) −3.45013e8 5.97579e8i −0.758675 1.31406i &minu