Properties

Label 43.7.d.a.7.8
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 7.8
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.14

$q$-expansion

\(f(q)\) \(=\) \(q-4.28699i q^{2} +(-41.9299 + 24.2082i) q^{3} +45.6217 q^{4} +(-171.014 + 98.7351i) q^{5} +(103.780 + 179.753i) q^{6} +(223.732 + 129.172i) q^{7} -469.947i q^{8} +(807.577 - 1398.76i) q^{9} +O(q^{10})\) \(q-4.28699i q^{2} +(-41.9299 + 24.2082i) q^{3} +45.6217 q^{4} +(-171.014 + 98.7351i) q^{5} +(103.780 + 179.753i) q^{6} +(223.732 + 129.172i) q^{7} -469.947i q^{8} +(807.577 - 1398.76i) q^{9} +(423.276 + 733.136i) q^{10} -1622.51 q^{11} +(-1912.91 + 1104.42i) q^{12} +(1102.52 - 1909.63i) q^{13} +(553.758 - 959.138i) q^{14} +(4780.40 - 8279.90i) q^{15} +905.130 q^{16} +(-209.407 + 362.703i) q^{17} +(-5996.49 - 3462.07i) q^{18} +(4693.50 - 2709.79i) q^{19} +(-7801.96 + 4504.46i) q^{20} -12508.1 q^{21} +6955.67i q^{22} +(-9995.93 - 17313.5i) q^{23} +(11376.6 + 19704.8i) q^{24} +(11684.7 - 20238.5i) q^{25} +(-8186.55 - 4726.51i) q^{26} +42904.4i q^{27} +(10207.0 + 5893.04i) q^{28} +(20365.0 + 11757.8i) q^{29} +(-35495.8 - 20493.5i) q^{30} +(7076.11 + 12256.2i) q^{31} -33956.9i q^{32} +(68031.5 - 39278.0i) q^{33} +(1554.90 + 897.724i) q^{34} -51015.1 q^{35} +(36843.0 - 63814.0i) q^{36} +(-14233.3 + 8217.61i) q^{37} +(-11616.9 - 20121.0i) q^{38} +106761. i q^{39} +(46400.3 + 80367.6i) q^{40} +66456.8 q^{41} +53622.0i q^{42} +(-78190.6 - 14407.9i) q^{43} -74021.5 q^{44} +318944. i q^{45} +(-74222.6 + 42852.5i) q^{46} +30699.7 q^{47} +(-37952.0 + 21911.6i) q^{48} +(-25453.8 - 44087.3i) q^{49} +(-86762.4 - 50092.3i) q^{50} -20277.5i q^{51} +(50299.0 - 87120.4i) q^{52} +(-102057. - 176768. i) q^{53} +183931. q^{54} +(277471. - 160198. i) q^{55} +(60703.9 - 105142. i) q^{56} +(-131199. + 227243. i) q^{57} +(50405.4 - 87304.7i) q^{58} -326010. q^{59} +(218090. - 377743. i) q^{60} +(-277713. - 160338. i) q^{61} +(52542.1 - 30335.2i) q^{62} +(361362. - 208632. i) q^{63} -87644.7 q^{64} +435431. i q^{65} +(-168384. - 291650. i) q^{66} +(-110396. - 191211. i) q^{67} +(-9553.49 + 16547.1i) q^{68} +(838256. + 483967. i) q^{69} +218701. i q^{70} +(153277. + 88494.7i) q^{71} +(-657345. - 379518. i) q^{72} +(-470207. - 271474. i) q^{73} +(35228.8 + 61018.1i) q^{74} +1.13147e6i q^{75} +(214126. - 123625. i) q^{76} +(-363007. - 209582. i) q^{77} +457681. q^{78} +(300121. - 519825. i) q^{79} +(-154790. + 89368.0i) q^{80} +(-449916. - 779278. i) q^{81} -284900. i q^{82} +(387964. + 671973. i) q^{83} -570640. q^{84} -82703.1i q^{85} +(-61766.5 + 335203. i) q^{86} -1.13854e6 q^{87} +762492. i q^{88} +(1.01577e6 - 586458. i) q^{89} +1.36731e6 q^{90} +(493340. - 284830. i) q^{91} +(-456031. - 789870. i) q^{92} +(-593401. - 342600. i) q^{93} -131610. i q^{94} +(-535103. + 926826. i) q^{95} +(822037. + 1.42381e6i) q^{96} +417105. q^{97} +(-189002. + 109120. i) q^{98} +(-1.31030e6 + 2.26950e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.28699i 0.535874i −0.963436 0.267937i \(-0.913658\pi\)
0.963436 0.267937i \(-0.0863419\pi\)
\(3\) −41.9299 + 24.2082i −1.55296 + 0.896601i −0.555060 + 0.831811i \(0.687305\pi\)
−0.997899 + 0.0647905i \(0.979362\pi\)
\(4\) 45.6217 0.712839
\(5\) −171.014 + 98.7351i −1.36811 + 0.789880i −0.990687 0.136159i \(-0.956524\pi\)
−0.377426 + 0.926040i \(0.623191\pi\)
\(6\) 103.780 + 179.753i 0.480465 + 0.832190i
\(7\) 223.732 + 129.172i 0.652280 + 0.376594i 0.789329 0.613970i \(-0.210428\pi\)
−0.137049 + 0.990564i \(0.543762\pi\)
\(8\) 469.947i 0.917866i
\(9\) 807.577 1398.76i 1.10779 1.91874i
\(10\) 423.276 + 733.136i 0.423276 + 0.733136i
\(11\) −1622.51 −1.21901 −0.609506 0.792781i \(-0.708632\pi\)
−0.609506 + 0.792781i \(0.708632\pi\)
\(12\) −1912.91 + 1104.42i −1.10701 + 0.639132i
\(13\) 1102.52 1909.63i 0.501831 0.869197i −0.498167 0.867081i \(-0.665993\pi\)
0.999998 0.00211584i \(-0.000673495\pi\)
\(14\) 553.758 959.138i 0.201807 0.349540i
\(15\) 4780.40 8279.90i 1.41642 2.45330i
\(16\) 905.130 0.220979
\(17\) −209.407 + 362.703i −0.0426230 + 0.0738251i −0.886550 0.462633i \(-0.846905\pi\)
0.843927 + 0.536458i \(0.180238\pi\)
\(18\) −5996.49 3462.07i −1.02820 0.593634i
\(19\) 4693.50 2709.79i 0.684284 0.395071i −0.117183 0.993110i \(-0.537387\pi\)
0.801467 + 0.598039i \(0.204053\pi\)
\(20\) −7801.96 + 4504.46i −0.975245 + 0.563058i
\(21\) −12508.1 −1.35062
\(22\) 6955.67i 0.653237i
\(23\) −9995.93 17313.5i −0.821561 1.42298i −0.904520 0.426432i \(-0.859770\pi\)
0.0829589 0.996553i \(-0.473563\pi\)
\(24\) 11376.6 + 19704.8i 0.822959 + 1.42541i
\(25\) 11684.7 20238.5i 0.747822 1.29527i
\(26\) −8186.55 4726.51i −0.465780 0.268918i
\(27\) 42904.4i 2.17977i
\(28\) 10207.0 + 5893.04i 0.464971 + 0.268451i
\(29\) 20365.0 + 11757.8i 0.835009 + 0.482092i 0.855564 0.517696i \(-0.173210\pi\)
−0.0205559 + 0.999789i \(0.506544\pi\)
\(30\) −35495.8 20493.5i −1.31466 0.759020i
\(31\) 7076.11 + 12256.2i 0.237525 + 0.411406i 0.960004 0.279988i \(-0.0903305\pi\)
−0.722478 + 0.691393i \(0.756997\pi\)
\(32\) 33956.9i 1.03628i
\(33\) 68031.5 39278.0i 1.89308 1.09297i
\(34\) 1554.90 + 897.724i 0.0395610 + 0.0228405i
\(35\) −51015.1 −1.18986
\(36\) 36843.0 63814.0i 0.789674 1.36776i
\(37\) −14233.3 + 8217.61i −0.280997 + 0.162233i −0.633874 0.773436i \(-0.718536\pi\)
0.352878 + 0.935669i \(0.385203\pi\)
\(38\) −11616.9 20121.0i −0.211708 0.366690i
\(39\) 106761.i 1.79977i
\(40\) 46400.3 + 80367.6i 0.725004 + 1.25574i
\(41\) 66456.8 0.964246 0.482123 0.876103i \(-0.339866\pi\)
0.482123 + 0.876103i \(0.339866\pi\)
\(42\) 53622.0i 0.723761i
\(43\) −78190.6 14407.9i −0.983443 0.181215i
\(44\) −74021.5 −0.868960
\(45\) 318944.i 3.50008i
\(46\) −74222.6 + 42852.5i −0.762540 + 0.440253i
\(47\) 30699.7 0.295693 0.147847 0.989010i \(-0.452766\pi\)
0.147847 + 0.989010i \(0.452766\pi\)
\(48\) −37952.0 + 21911.6i −0.343171 + 0.198130i
\(49\) −25453.8 44087.3i −0.216354 0.374736i
\(50\) −86762.4 50092.3i −0.694099 0.400738i
\(51\) 20277.5i 0.152863i
\(52\) 50299.0 87120.4i 0.357725 0.619598i
\(53\) −102057. 176768.i −0.685511 1.18734i −0.973276 0.229639i \(-0.926246\pi\)
0.287765 0.957701i \(-0.407088\pi\)
\(54\) 183931. 1.16808
\(55\) 277471. 160198.i 1.66775 0.962874i
\(56\) 60703.9 105142.i 0.345663 0.598706i
\(57\) −131199. + 227243.i −0.708443 + 1.22706i
\(58\) 50405.4 87304.7i 0.258341 0.447459i
\(59\) −326010. −1.58736 −0.793680 0.608336i \(-0.791837\pi\)
−0.793680 + 0.608336i \(0.791837\pi\)
\(60\) 218090. 377743.i 1.00968 1.74881i
\(61\) −277713. 160338.i −1.22351 0.706392i −0.257843 0.966187i \(-0.583012\pi\)
−0.965664 + 0.259795i \(0.916345\pi\)
\(62\) 52542.1 30335.2i 0.220461 0.127283i
\(63\) 361362. 208632.i 1.44517 0.834372i
\(64\) −87644.7 −0.334338
\(65\) 435431.i 1.58555i
\(66\) −168384. 291650.i −0.585693 1.01445i
\(67\) −110396. 191211.i −0.367052 0.635752i 0.622051 0.782976i \(-0.286299\pi\)
−0.989103 + 0.147224i \(0.952966\pi\)
\(68\) −9553.49 + 16547.1i −0.0303833 + 0.0526254i
\(69\) 838256. + 483967.i 2.55170 + 1.47322i
\(70\) 218701.i 0.637614i
\(71\) 153277. + 88494.7i 0.428256 + 0.247253i 0.698603 0.715509i \(-0.253805\pi\)
−0.270348 + 0.962763i \(0.587139\pi\)
\(72\) −657345. 379518.i −1.76115 1.01680i
\(73\) −470207. 271474.i −1.20871 0.697846i −0.246229 0.969212i \(-0.579191\pi\)
−0.962476 + 0.271366i \(0.912525\pi\)
\(74\) 35228.8 + 61018.1i 0.0869367 + 0.150579i
\(75\) 1.13147e6i 2.68199i
\(76\) 214126. 123625.i 0.487784 0.281622i
\(77\) −363007. 209582.i −0.795138 0.459073i
\(78\) 457681. 0.964450
\(79\) 300121. 519825.i 0.608717 1.05433i −0.382735 0.923858i \(-0.625018\pi\)
0.991452 0.130471i \(-0.0416490\pi\)
\(80\) −154790. + 89368.0i −0.302324 + 0.174547i
\(81\) −449916. 779278.i −0.846597 1.46635i
\(82\) 284900.i 0.516714i
\(83\) 387964. + 671973.i 0.678511 + 1.17522i 0.975429 + 0.220313i \(0.0707078\pi\)
−0.296918 + 0.954903i \(0.595959\pi\)
\(84\) −570640. −0.962774
\(85\) 82703.1i 0.134668i
\(86\) −61766.5 + 335203.i −0.0971085 + 0.527002i
\(87\) −1.13854e6 −1.72898
\(88\) 762492.i 1.11889i
\(89\) 1.01577e6 586458.i 1.44088 0.831892i 0.442970 0.896536i \(-0.353925\pi\)
0.997908 + 0.0646445i \(0.0205913\pi\)
\(90\) 1.36731e6 1.87560
\(91\) 493340. 284830.i 0.654669 0.377973i
\(92\) −456031. 789870.i −0.585641 1.01436i
\(93\) −593401. 342600.i −0.737733 0.425930i
\(94\) 131610.i 0.158454i
\(95\) −535103. + 926826.i −0.624118 + 1.08100i
\(96\) 822037. + 1.42381e6i 0.929132 + 1.60930i
\(97\) 417105. 0.457015 0.228507 0.973542i \(-0.426616\pi\)
0.228507 + 0.973542i \(0.426616\pi\)
\(98\) −189002. + 109120.i −0.200811 + 0.115938i
\(99\) −1.31030e6 + 2.26950e6i −1.35041 + 2.33897i
\(100\) 533077. 923316.i 0.533077 0.923316i
\(101\) 218273. 378060.i 0.211853 0.366941i −0.740441 0.672121i \(-0.765383\pi\)
0.952295 + 0.305180i \(0.0987167\pi\)
\(102\) −86929.2 −0.0819154
\(103\) −704980. + 1.22106e6i −0.645157 + 1.11744i 0.339108 + 0.940747i \(0.389875\pi\)
−0.984265 + 0.176697i \(0.943459\pi\)
\(104\) −897424. 518128.i −0.797806 0.460614i
\(105\) 2.13906e6 1.23499e6i 1.84780 1.06683i
\(106\) −757801. + 437517.i −0.636264 + 0.367347i
\(107\) −311727. −0.254462 −0.127231 0.991873i \(-0.540609\pi\)
−0.127231 + 0.991873i \(0.540609\pi\)
\(108\) 1.95737e6i 1.55382i
\(109\) 394763. + 683749.i 0.304829 + 0.527980i 0.977223 0.212213i \(-0.0680672\pi\)
−0.672394 + 0.740193i \(0.734734\pi\)
\(110\) −686768. 1.18952e6i −0.515979 0.893702i
\(111\) 397868. 689127.i 0.290917 0.503884i
\(112\) 202507. + 116917.i 0.144140 + 0.0832194i
\(113\) 1.34099e6i 0.929370i −0.885476 0.464685i \(-0.846168\pi\)
0.885476 0.464685i \(-0.153832\pi\)
\(114\) 974188. + 562447.i 0.657549 + 0.379636i
\(115\) 3.41889e6 + 1.97390e6i 2.24798 + 1.29787i
\(116\) 929087. + 536409.i 0.595227 + 0.343654i
\(117\) −1.78074e6 3.08434e6i −1.11184 1.92577i
\(118\) 1.39760e6i 0.850625i
\(119\) −93702.0 + 54098.9i −0.0556042 + 0.0321031i
\(120\) −3.89112e6 2.24654e6i −2.25180 1.30008i
\(121\) 860963. 0.485991
\(122\) −687366. + 1.19055e6i −0.378537 + 0.655645i
\(123\) −2.78653e6 + 1.60880e6i −1.49743 + 0.864544i
\(124\) 322824. + 559148.i 0.169317 + 0.293266i
\(125\) 1.52930e6i 0.783000i
\(126\) −894405. 1.54915e6i −0.447118 0.774432i
\(127\) −356295. −0.173939 −0.0869697 0.996211i \(-0.527718\pi\)
−0.0869697 + 0.996211i \(0.527718\pi\)
\(128\) 1.79751e6i 0.857120i
\(129\) 3.62731e6 1.28874e6i 1.68972 0.600337i
\(130\) 1.86669e6 0.849653
\(131\) 2.48144e6i 1.10380i 0.833911 + 0.551899i \(0.186097\pi\)
−0.833911 + 0.551899i \(0.813903\pi\)
\(132\) 3.10371e6 1.79193e6i 1.34946 0.779110i
\(133\) 1.40012e6 0.595126
\(134\) −819719. + 473265.i −0.340683 + 0.196693i
\(135\) −4.23617e6 7.33726e6i −1.72176 2.98217i
\(136\) 170451. + 98410.1i 0.0677616 + 0.0391222i
\(137\) 3.40926e6i 1.32586i −0.748680 0.662932i \(-0.769312\pi\)
0.748680 0.662932i \(-0.230688\pi\)
\(138\) 2.07476e6 3.59360e6i 0.789462 1.36739i
\(139\) 93126.7 + 161300.i 0.0346760 + 0.0600607i 0.882843 0.469669i \(-0.155627\pi\)
−0.848167 + 0.529730i \(0.822293\pi\)
\(140\) −2.32740e6 −0.848177
\(141\) −1.28724e6 + 743186.i −0.459199 + 0.265119i
\(142\) 379376. 657099.i 0.132497 0.229491i
\(143\) −1.78885e6 + 3.09838e6i −0.611738 + 1.05956i
\(144\) 730961. 1.26606e6i 0.244798 0.424002i
\(145\) −4.64361e6 −1.52318
\(146\) −1.16381e6 + 2.01577e6i −0.373958 + 0.647713i
\(147\) 2.13455e6 + 1.23238e6i 0.671976 + 0.387966i
\(148\) −649348. + 374901.i −0.200305 + 0.115646i
\(149\) 1.31662e6 760150.i 0.398016 0.229795i −0.287611 0.957747i \(-0.592861\pi\)
0.685628 + 0.727952i \(0.259528\pi\)
\(150\) 4.85058e6 1.43721
\(151\) 13111.3i 0.00380816i 0.999998 + 0.00190408i \(0.000606088\pi\)
−0.999998 + 0.00190408i \(0.999394\pi\)
\(152\) −1.27346e6 2.20570e6i −0.362623 0.628081i
\(153\) 338224. + 585821.i 0.0944343 + 0.163565i
\(154\) −898476. + 1.55621e6i −0.246005 + 0.426093i
\(155\) −2.42023e6 1.39732e6i −0.649922 0.375233i
\(156\) 4.87060e6i 1.28295i
\(157\) −871187. 502980.i −0.225119 0.129973i 0.383199 0.923666i \(-0.374822\pi\)
−0.608318 + 0.793693i \(0.708156\pi\)
\(158\) −2.22849e6 1.28662e6i −0.564988 0.326196i
\(159\) 8.55846e6 + 4.94123e6i 2.12914 + 1.22926i
\(160\) 3.35274e6 + 5.80711e6i 0.818539 + 1.41775i
\(161\) 5.16477e6i 1.23758i
\(162\) −3.34076e6 + 1.92879e6i −0.785778 + 0.453669i
\(163\) −403987. 233242.i −0.0932834 0.0538572i 0.452633 0.891697i \(-0.350485\pi\)
−0.545916 + 0.837840i \(0.683818\pi\)
\(164\) 3.03187e6 0.687353
\(165\) −7.75623e6 + 1.34342e7i −1.72663 + 2.99061i
\(166\) 2.88074e6 1.66320e6i 0.629767 0.363596i
\(167\) −3.46667e6 6.00445e6i −0.744326 1.28921i −0.950509 0.310696i \(-0.899438\pi\)
0.206184 0.978513i \(-0.433896\pi\)
\(168\) 5.87814e6i 1.23969i
\(169\) −17710.6 30675.7i −0.00366922 0.00635527i
\(170\) −354547. −0.0721652
\(171\) 8.75347e6i 1.75062i
\(172\) −3.56719e6 657312.i −0.701037 0.129177i
\(173\) −7.72842e6 −1.49263 −0.746315 0.665593i \(-0.768179\pi\)
−0.746315 + 0.665593i \(0.768179\pi\)
\(174\) 4.88090e6i 0.926514i
\(175\) 5.22850e6 3.01867e6i 0.975579 0.563251i
\(176\) −1.46858e6 −0.269376
\(177\) 1.36696e7 7.89213e6i 2.46510 1.42323i
\(178\) −2.51414e6 4.35462e6i −0.445789 0.772129i
\(179\) 6.32202e6 + 3.65002e6i 1.10229 + 0.636409i 0.936822 0.349806i \(-0.113753\pi\)
0.165470 + 0.986215i \(0.447086\pi\)
\(180\) 1.45508e7i 2.49499i
\(181\) 5.88505e6 1.01932e7i 0.992463 1.71900i 0.390106 0.920770i \(-0.372438\pi\)
0.602357 0.798227i \(-0.294228\pi\)
\(182\) −1.22106e6 2.11494e6i −0.202546 0.350820i
\(183\) 1.55259e7 2.53341
\(184\) −8.13641e6 + 4.69756e6i −1.30611 + 0.754082i
\(185\) 1.62273e6 2.81065e6i 0.256290 0.443907i
\(186\) −1.46872e6 + 2.54390e6i −0.228245 + 0.395332i
\(187\) 339763. 588487.i 0.0519579 0.0899937i
\(188\) 1.40057e6 0.210782
\(189\) −5.54204e6 + 9.59909e6i −0.820888 + 1.42182i
\(190\) 3.97330e6 + 2.29398e6i 0.579282 + 0.334449i
\(191\) −9.69149e6 + 5.59538e6i −1.39088 + 0.803026i −0.993413 0.114589i \(-0.963445\pi\)
−0.397469 + 0.917615i \(0.630111\pi\)
\(192\) 3.67493e6 2.12172e6i 0.519213 0.299768i
\(193\) −434453. −0.0604326 −0.0302163 0.999543i \(-0.509620\pi\)
−0.0302163 + 0.999543i \(0.509620\pi\)
\(194\) 1.78813e6i 0.244902i
\(195\) −1.05410e7 1.82576e7i −1.42160 2.46229i
\(196\) −1.16125e6 2.01134e6i −0.154225 0.267126i
\(197\) −1.56637e6 + 2.71303e6i −0.204878 + 0.354859i −0.950094 0.311964i \(-0.899013\pi\)
0.745216 + 0.666823i \(0.232346\pi\)
\(198\) 9.72933e6 + 5.61723e6i 1.25339 + 0.723647i
\(199\) 2.40666e6i 0.305390i 0.988273 + 0.152695i \(0.0487953\pi\)
−0.988273 + 0.152695i \(0.951205\pi\)
\(200\) −9.51104e6 5.49120e6i −1.18888 0.686400i
\(201\) 9.25775e6 + 5.34496e6i 1.14003 + 0.658198i
\(202\) −1.62074e6 935734.i −0.196634 0.113527i
\(203\) 3.03754e6 + 5.26117e6i 0.363106 + 0.628919i
\(204\) 925092.i 0.108967i
\(205\) −1.13651e7 + 6.56162e6i −1.31920 + 0.761639i
\(206\) 5.23468e6 + 3.02224e6i 0.598809 + 0.345723i
\(207\) −3.22899e7 −3.64046
\(208\) 997926. 1.72846e6i 0.110894 0.192074i
\(209\) −7.61523e6 + 4.39666e6i −0.834150 + 0.481597i
\(210\) −5.29437e6 9.17013e6i −0.571685 0.990187i
\(211\) 1.56410e7i 1.66501i 0.554014 + 0.832507i \(0.313095\pi\)
−0.554014 + 0.832507i \(0.686905\pi\)
\(212\) −4.65601e6 8.06444e6i −0.488659 0.846382i
\(213\) −8.56920e6 −0.886751
\(214\) 1.33637e6i 0.136359i
\(215\) 1.47943e7 5.25621e6i 1.48860 0.528880i
\(216\) 2.01628e7 2.00074
\(217\) 3.65614e6i 0.357802i
\(218\) 2.93123e6 1.69235e6i 0.282931 0.163350i
\(219\) 2.62876e7 2.50276
\(220\) 1.26587e7 7.30851e6i 1.18884 0.686374i
\(221\) 461751. + 799777.i 0.0427791 + 0.0740955i
\(222\) −2.95428e6 1.70565e6i −0.270018 0.155895i
\(223\) 4.31505e6i 0.389109i 0.980892 + 0.194555i \(0.0623261\pi\)
−0.980892 + 0.194555i \(0.937674\pi\)
\(224\) 4.38628e6 7.59725e6i 0.390258 0.675947i
\(225\) −1.88726e7 3.26883e7i −1.65686 2.86976i
\(226\) −5.74879e6 −0.498025
\(227\) −139404. + 80485.2i −0.0119179 + 0.00688079i −0.505947 0.862565i \(-0.668857\pi\)
0.494029 + 0.869445i \(0.335524\pi\)
\(228\) −5.98551e6 + 1.03672e7i −0.505006 + 0.874696i
\(229\) 7.22892e6 1.25209e7i 0.601959 1.04262i −0.390565 0.920575i \(-0.627720\pi\)
0.992524 0.122048i \(-0.0389463\pi\)
\(230\) 8.46208e6 1.46568e7i 0.695494 1.20463i
\(231\) 2.02944e7 1.64642
\(232\) 5.52552e6 9.57049e6i 0.442496 0.766426i
\(233\) 606452. + 350135.i 0.0479434 + 0.0276801i 0.523780 0.851854i \(-0.324521\pi\)
−0.475837 + 0.879534i \(0.657855\pi\)
\(234\) −1.32225e7 + 7.63403e6i −1.03197 + 0.595808i
\(235\) −5.25009e6 + 3.03114e6i −0.404542 + 0.233562i
\(236\) −1.48732e7 −1.13153
\(237\) 2.90616e7i 2.18311i
\(238\) 231921. + 401699.i 0.0172032 + 0.0297969i
\(239\) −7.05387e6 1.22177e7i −0.516694 0.894941i −0.999812 0.0193855i \(-0.993829\pi\)
0.483118 0.875555i \(-0.339504\pi\)
\(240\) 4.32688e6 7.49438e6i 0.312998 0.542128i
\(241\) −1.07852e7 6.22685e6i −0.770510 0.444854i 0.0625467 0.998042i \(-0.480078\pi\)
−0.833056 + 0.553188i \(0.813411\pi\)
\(242\) 3.69094e6i 0.260430i
\(243\) 1.06429e7 + 6.14469e6i 0.741723 + 0.428234i
\(244\) −1.26697e7 7.31487e6i −0.872163 0.503544i
\(245\) 8.70592e6 + 5.02636e6i 0.591992 + 0.341787i
\(246\) 6.89692e6 + 1.19458e7i 0.463287 + 0.802436i
\(247\) 1.19504e7i 0.793037i
\(248\) 5.75976e6 3.32540e6i 0.377615 0.218016i
\(249\) −3.25345e7 1.87838e7i −2.10740 1.21671i
\(250\) 6.55608e6 0.419589
\(251\) 5.32932e6 9.23066e6i 0.337016 0.583730i −0.646854 0.762614i \(-0.723916\pi\)
0.983870 + 0.178885i \(0.0572489\pi\)
\(252\) 1.64859e7 9.51816e6i 1.03018 0.594773i
\(253\) 1.62184e7 + 2.80912e7i 1.00149 + 1.73464i
\(254\) 1.52743e6i 0.0932096i
\(255\) 2.00210e6 + 3.46773e6i 0.120744 + 0.209134i
\(256\) −1.33152e7 −0.793646
\(257\) 2.56928e7i 1.51360i 0.653644 + 0.756802i \(0.273239\pi\)
−0.653644 + 0.756802i \(0.726761\pi\)
\(258\) −5.52480e6 1.55503e7i −0.321705 0.905479i
\(259\) −4.24593e6 −0.244385
\(260\) 1.98651e7i 1.13024i
\(261\) 3.28926e7 1.89906e7i 1.85002 1.06811i
\(262\) 1.06379e7 0.591497
\(263\) −9.22786e6 + 5.32771e6i −0.507264 + 0.292869i −0.731708 0.681618i \(-0.761277\pi\)
0.224444 + 0.974487i \(0.427943\pi\)
\(264\) −1.84586e7 3.19712e7i −1.00320 1.73759i
\(265\) 3.49063e7 + 2.01532e7i 1.87571 + 1.08294i
\(266\) 6.00229e6i 0.318913i
\(267\) −2.83942e7 + 4.91802e7i −1.49175 + 2.58379i
\(268\) −5.03644e6 8.72336e6i −0.261649 0.453189i
\(269\) −9.80000e6 −0.503465 −0.251733 0.967797i \(-0.581000\pi\)
−0.251733 + 0.967797i \(0.581000\pi\)
\(270\) −3.14548e7 + 1.81604e7i −1.59807 + 0.922645i
\(271\) 187353. 324504.i 0.00941352 0.0163047i −0.861280 0.508130i \(-0.830337\pi\)
0.870694 + 0.491825i \(0.163670\pi\)
\(272\) −189540. + 328293.i −0.00941877 + 0.0163138i
\(273\) −1.37905e7 + 2.38858e7i −0.677783 + 1.17395i
\(274\) −1.46155e7 −0.710496
\(275\) −1.89585e7 + 3.28371e7i −0.911604 + 1.57895i
\(276\) 3.82427e7 + 2.20794e7i 1.81895 + 1.05017i
\(277\) −7.09322e6 + 4.09527e6i −0.333737 + 0.192683i −0.657499 0.753455i \(-0.728386\pi\)
0.323762 + 0.946139i \(0.395052\pi\)
\(278\) 691492. 399233.i 0.0321849 0.0185820i
\(279\) 2.28580e7 1.05251
\(280\) 2.39744e7i 1.09213i
\(281\) −9.28075e6 1.60747e7i −0.418277 0.724477i 0.577489 0.816398i \(-0.304033\pi\)
−0.995766 + 0.0919212i \(0.970699\pi\)
\(282\) 3.18603e6 + 5.51837e6i 0.142070 + 0.246073i
\(283\) −9188.11 + 15914.3i −0.000405384 + 0.000702146i −0.866228 0.499649i \(-0.833462\pi\)
0.865823 + 0.500351i \(0.166796\pi\)
\(284\) 6.99278e6 + 4.03728e6i 0.305277 + 0.176252i
\(285\) 5.18156e7i 2.23834i
\(286\) 1.32827e7 + 7.66878e6i 0.567792 + 0.327815i
\(287\) 1.48685e7 + 8.58435e6i 0.628959 + 0.363130i
\(288\) −4.74977e7 2.74228e7i −1.98836 1.14798i
\(289\) 1.19811e7 + 2.07518e7i 0.496367 + 0.859732i
\(290\) 1.99071e7i 0.816233i
\(291\) −1.74892e7 + 1.00974e7i −0.709725 + 0.409760i
\(292\) −2.14516e7 1.23851e7i −0.861612 0.497452i
\(293\) 2.74963e7 1.09313 0.546564 0.837417i \(-0.315936\pi\)
0.546564 + 0.837417i \(0.315936\pi\)
\(294\) 5.28321e6 9.15079e6i 0.207901 0.360095i
\(295\) 5.57524e7 3.21887e7i 2.17169 1.25382i
\(296\) 3.86184e6 + 6.68891e6i 0.148909 + 0.257917i
\(297\) 6.96126e7i 2.65717i
\(298\) −3.25876e6 5.64433e6i −0.123141 0.213287i
\(299\) −4.40830e7 −1.64914
\(300\) 5.16194e7i 1.91183i
\(301\) −1.56327e7 1.33235e7i −0.573236 0.488562i
\(302\) 56208.1 0.00204069
\(303\) 2.11360e7i 0.759792i
\(304\) 4.24823e6 2.45272e6i 0.151212 0.0873024i
\(305\) 6.33237e7 2.23186
\(306\) 2.51141e6 1.44996e6i 0.0876502 0.0506049i
\(307\) 1.15520e7 + 2.00087e7i 0.399248 + 0.691519i 0.993633 0.112662i \(-0.0359378\pi\)
−0.594385 + 0.804181i \(0.702604\pi\)
\(308\) −1.65610e7 9.56149e6i −0.566805 0.327245i
\(309\) 6.82653e7i 2.31379i
\(310\) −5.99030e6 + 1.03755e7i −0.201077 + 0.348276i
\(311\) 1.12965e7 + 1.95661e7i 0.375546 + 0.650465i 0.990409 0.138170i \(-0.0441219\pi\)
−0.614863 + 0.788634i \(0.710789\pi\)
\(312\) 5.01718e7 1.65195
\(313\) −1.11591e7 + 6.44270e6i −0.363911 + 0.210104i −0.670795 0.741643i \(-0.734047\pi\)
0.306884 + 0.951747i \(0.400714\pi\)
\(314\) −2.15627e6 + 3.73477e6i −0.0696489 + 0.120635i
\(315\) −4.11986e7 + 7.13581e7i −1.31811 + 2.28303i
\(316\) 1.36921e7 2.37153e7i 0.433918 0.751567i
\(317\) 4.07849e6 0.128033 0.0640165 0.997949i \(-0.479609\pi\)
0.0640165 + 0.997949i \(0.479609\pi\)
\(318\) 2.11830e7 3.66900e7i 0.658728 1.14095i
\(319\) −3.30424e7 1.90770e7i −1.01789 0.587677i
\(320\) 1.49885e7 8.65360e6i 0.457412 0.264087i
\(321\) 1.30707e7 7.54635e6i 0.395169 0.228151i
\(322\) −2.21413e7 −0.663187
\(323\) 2.26980e6i 0.0673564i
\(324\) −2.05259e7 3.55520e7i −0.603487 1.04527i
\(325\) −2.57654e7 4.46269e7i −0.750561 1.30001i
\(326\) −999905. + 1.73189e6i −0.0288606 + 0.0499881i
\(327\) −3.31047e7 1.91130e7i −0.946775 0.546621i
\(328\) 3.12312e7i 0.885049i
\(329\) 6.86852e6 + 3.96554e6i 0.192875 + 0.111356i
\(330\) 5.75922e7 + 3.32509e7i 1.60259 + 0.925255i
\(331\) 3.72466e6 + 2.15044e6i 0.102708 + 0.0592983i 0.550474 0.834852i \(-0.314447\pi\)
−0.447766 + 0.894151i \(0.647780\pi\)
\(332\) 1.76996e7 + 3.06566e7i 0.483669 + 0.837740i
\(333\) 2.65454e7i 0.718880i
\(334\) −2.57410e7 + 1.48616e7i −0.690854 + 0.398865i
\(335\) 3.77584e7 + 2.17998e7i 1.00434 + 0.579854i
\(336\) −1.13214e7 −0.298458
\(337\) 1.92033e7 3.32611e7i 0.501749 0.869055i −0.498249 0.867034i \(-0.666023\pi\)
0.999998 0.00202086i \(-0.000643259\pi\)
\(338\) −131506. + 75925.3i −0.00340563 + 0.00196624i
\(339\) 3.24629e7 + 5.62274e7i 0.833274 + 1.44327i
\(340\) 3.77306e6i 0.0959967i
\(341\) −1.14810e7 1.98857e7i −0.289546 0.501508i
\(342\) −3.75260e7 −0.938111
\(343\) 4.35455e7i 1.07910i
\(344\) −6.77094e6 + 3.67455e7i −0.166331 + 0.902669i
\(345\) −1.91138e8 −4.65468
\(346\) 3.31317e7i 0.799862i
\(347\) 2.71823e7 1.56937e7i 0.650575 0.375610i −0.138101 0.990418i \(-0.544100\pi\)
0.788677 + 0.614808i \(0.210767\pi\)
\(348\) −5.19420e7 −1.23248
\(349\) −2.72881e7 + 1.57548e7i −0.641943 + 0.370626i −0.785363 0.619036i \(-0.787524\pi\)
0.143420 + 0.989662i \(0.454190\pi\)
\(350\) −1.29410e7 2.24145e7i −0.301831 0.522787i
\(351\) 8.19314e7 + 4.73031e7i 1.89465 + 1.09388i
\(352\) 5.50953e7i 1.26324i
\(353\) −8.62770e6 + 1.49436e7i −0.196142 + 0.339728i −0.947274 0.320424i \(-0.896175\pi\)
0.751132 + 0.660152i \(0.229508\pi\)
\(354\) −3.38335e7 5.86013e7i −0.762671 1.32098i
\(355\) −3.49501e7 −0.781203
\(356\) 4.63414e7 2.67552e7i 1.02711 0.593005i
\(357\) 2.61927e6 4.53672e6i 0.0575674 0.0997096i
\(358\) 1.56476e7 2.71024e7i 0.341035 0.590689i
\(359\) 1.39417e7 2.41478e7i 0.301323 0.521908i −0.675113 0.737715i \(-0.735905\pi\)
0.976436 + 0.215807i \(0.0692383\pi\)
\(360\) 1.49887e8 3.21260
\(361\) −8.83697e6 + 1.53061e7i −0.187837 + 0.325344i
\(362\) −4.36982e7 2.52292e7i −0.921165 0.531835i
\(363\) −3.61001e7 + 2.08424e7i −0.754724 + 0.435740i
\(364\) 2.25070e7 1.29944e7i 0.466674 0.269434i
\(365\) 1.07216e8 2.20486
\(366\) 6.65596e7i 1.35759i
\(367\) −4.62799e6 8.01592e6i −0.0936256 0.162164i 0.815409 0.578886i \(-0.196512\pi\)
−0.909034 + 0.416722i \(0.863179\pi\)
\(368\) −9.04761e6 1.56709e7i −0.181548 0.314450i
\(369\) 5.36690e7 9.29574e7i 1.06818 1.85014i
\(370\) −1.20493e7 6.95664e6i −0.237878 0.137339i
\(371\) 5.27314e7i 1.03264i
\(372\) −2.70720e7 1.56300e7i −0.525885 0.303620i
\(373\) −3.79597e7 2.19161e7i −0.731470 0.422314i 0.0874898 0.996165i \(-0.472115\pi\)
−0.818960 + 0.573851i \(0.805449\pi\)
\(374\) −2.52284e6 1.45656e6i −0.0482253 0.0278429i
\(375\) −3.70215e7 6.41232e7i −0.702038 1.21597i
\(376\) 1.44273e7i 0.271407i
\(377\) 4.49058e7 2.59264e7i 0.838067 0.483858i
\(378\) 4.11512e7 + 2.37587e7i 0.761916 + 0.439893i
\(379\) −6.61347e7 −1.21482 −0.607410 0.794388i \(-0.707792\pi\)
−0.607410 + 0.794388i \(0.707792\pi\)
\(380\) −2.44123e7 + 4.22834e7i −0.444896 + 0.770582i
\(381\) 1.49394e7 8.62526e6i 0.270121 0.155954i
\(382\) 2.39874e7 + 4.15473e7i 0.430321 + 0.745337i
\(383\) 6.63164e7i 1.18039i 0.807261 + 0.590194i \(0.200949\pi\)
−0.807261 + 0.590194i \(0.799051\pi\)
\(384\) 4.35145e7 + 7.53694e7i 0.768494 + 1.33107i
\(385\) 8.27723e7 1.45045
\(386\) 1.86250e6i 0.0323842i
\(387\) −8.32982e7 + 9.77348e7i −1.43715 + 1.68623i
\(388\) 1.90290e7 0.325778
\(389\) 2.90881e7i 0.494159i 0.968995 + 0.247080i \(0.0794709\pi\)
−0.968995 + 0.247080i \(0.920529\pi\)
\(390\) −7.82700e7 + 4.51892e7i −1.31948 + 0.761800i
\(391\) 8.37285e6 0.140069
\(392\) −2.07187e7 + 1.19619e7i −0.343957 + 0.198584i
\(393\) −6.00713e7 1.04046e8i −0.989667 1.71415i
\(394\) 1.16307e7 + 6.71501e6i 0.190160 + 0.109789i
\(395\) 1.18530e8i 1.92326i
\(396\) −5.97780e7 + 1.03539e8i −0.962622 + 1.66731i
\(397\) 4.14560e6 + 7.18039e6i 0.0662545 + 0.114756i 0.897250 0.441523i \(-0.145562\pi\)
−0.830995 + 0.556279i \(0.812228\pi\)
\(398\) 1.03173e7 0.163651
\(399\) −5.87067e7 + 3.38943e7i −0.924207 + 0.533591i
\(400\) 1.05762e7 1.83185e7i 0.165253 0.286226i
\(401\) −6.16405e6 + 1.06765e7i −0.0955946 + 0.165575i −0.909857 0.414923i \(-0.863809\pi\)
0.814262 + 0.580497i \(0.197142\pi\)
\(402\) 2.29138e7 3.96879e7i 0.352711 0.610914i
\(403\) 3.12063e7 0.476790
\(404\) 9.95798e6 1.72477e7i 0.151017 0.261570i
\(405\) 1.53884e8 + 8.88450e7i 2.31648 + 1.33742i
\(406\) 2.25546e7 1.30219e7i 0.337021 0.194579i
\(407\) 2.30936e7 1.33331e7i 0.342538 0.197765i
\(408\) −9.52933e6 −0.140308
\(409\) 4.52417e7i 0.661255i 0.943761 + 0.330628i \(0.107260\pi\)
−0.943761 + 0.330628i \(0.892740\pi\)
\(410\) 2.81296e7 + 4.87219e7i 0.408143 + 0.706924i
\(411\) 8.25322e7 + 1.42950e8i 1.18877 + 2.05901i
\(412\) −3.21624e7 + 5.57069e7i −0.459893 + 0.796558i
\(413\) −7.29390e7 4.21113e7i −1.03540 0.597790i
\(414\) 1.38427e8i 1.95083i
\(415\) −1.32695e8 7.66112e7i −1.85656 1.07189i
\(416\) −6.48450e7 3.74383e7i −0.900734 0.520039i
\(417\) −7.80958e6 4.50886e6i −0.107701 0.0621812i
\(418\) 1.88484e7 + 3.26464e7i 0.258075 + 0.446999i
\(419\) 4.18627e7i 0.569095i −0.958662 0.284548i \(-0.908157\pi\)
0.958662 0.284548i \(-0.0918434\pi\)
\(420\) 9.75875e7 5.63422e7i 1.31718 0.760476i
\(421\) 4.38905e7 + 2.53402e7i 0.588199 + 0.339597i 0.764385 0.644760i \(-0.223043\pi\)
−0.176186 + 0.984357i \(0.556376\pi\)
\(422\) 6.70530e7 0.892238
\(423\) 2.47924e7 4.29417e7i 0.327565 0.567359i
\(424\) −8.30714e7 + 4.79613e7i −1.08982 + 0.629207i
\(425\) 4.89372e6 + 8.47616e6i 0.0637488 + 0.110416i
\(426\) 3.67361e7i 0.475187i
\(427\) −4.14222e7 7.17453e7i −0.532046 0.921531i
\(428\) −1.42215e7 −0.181390
\(429\) 1.73220e8i 2.19394i
\(430\) −2.25333e7 6.34229e7i −0.283413 0.797702i
\(431\) 1.43600e7 0.179358 0.0896791 0.995971i \(-0.471416\pi\)
0.0896791 + 0.995971i \(0.471416\pi\)
\(432\) 3.88340e7i 0.481683i
\(433\) 1.84296e7 1.06403e7i 0.227014 0.131066i −0.382180 0.924088i \(-0.624827\pi\)
0.609194 + 0.793022i \(0.291493\pi\)
\(434\) 1.56738e7 0.191737
\(435\) 1.94706e8 1.12414e8i 2.36544 1.36569i
\(436\) 1.80098e7 + 3.11938e7i 0.217294 + 0.376365i
\(437\) −9.38318e7 5.41738e7i −1.12436 0.649150i
\(438\) 1.12695e8i 1.34116i
\(439\) 1.98888e7 3.44484e7i 0.235080 0.407170i −0.724216 0.689573i \(-0.757798\pi\)
0.959296 + 0.282403i \(0.0911316\pi\)
\(440\) −7.52847e7 1.30397e8i −0.883789 1.53077i
\(441\) −8.22235e7 −0.958695
\(442\) 3.42864e6 1.97952e6i 0.0397059 0.0229242i
\(443\) 6.60404e7 1.14385e8i 0.759624 1.31571i −0.183418 0.983035i \(-0.558716\pi\)
0.943042 0.332673i \(-0.107950\pi\)
\(444\) 1.81514e7 3.14391e7i 0.207377 0.359188i
\(445\) −1.15808e8 + 2.00585e8i −1.31419 + 2.27624i
\(446\) 1.84986e7 0.208513
\(447\) −3.68038e7 + 6.37460e7i −0.412069 + 0.713724i
\(448\) −1.96089e7 1.13212e7i −0.218082 0.125910i
\(449\) 3.51449e7 2.02909e7i 0.388260 0.224162i −0.293146 0.956068i \(-0.594702\pi\)
0.681406 + 0.731906i \(0.261369\pi\)
\(450\) −1.40135e8 + 8.09067e7i −1.53783 + 0.887865i
\(451\) −1.07827e8 −1.17543
\(452\) 6.11780e7i 0.662491i
\(453\) −317402. 549756.i −0.00341440 0.00591392i
\(454\) 345039. + 597625.i 0.00368724 + 0.00638648i
\(455\) −5.62454e7 + 9.74199e7i −0.597108 + 1.03422i
\(456\) 1.06792e8 + 6.16565e7i 1.12628 + 0.650255i
\(457\) 6.55165e7i 0.686439i −0.939255 0.343220i \(-0.888482\pi\)
0.939255 0.343220i \(-0.111518\pi\)
\(458\) −5.36768e7 3.09903e7i −0.558715 0.322574i
\(459\) −1.55615e7 8.98446e6i −0.160922 0.0929082i
\(460\) 1.55976e8 + 9.00526e7i 1.60245 + 0.925172i
\(461\) 4.15478e7 + 7.19628e7i 0.424077 + 0.734523i 0.996334 0.0855515i \(-0.0272652\pi\)
−0.572257 + 0.820075i \(0.693932\pi\)
\(462\) 8.70020e7i 0.882274i
\(463\) 5.26538e7 3.03997e7i 0.530502 0.306285i −0.210719 0.977547i \(-0.567580\pi\)
0.741221 + 0.671261i \(0.234247\pi\)
\(464\) 1.84330e7 + 1.06423e7i 0.184519 + 0.106532i
\(465\) 1.35307e8 1.34574
\(466\) 1.50103e6 2.59985e6i 0.0148330 0.0256916i
\(467\) 6.25414e7 3.61083e7i 0.614069 0.354533i −0.160487 0.987038i \(-0.551307\pi\)
0.774556 + 0.632505i \(0.217973\pi\)
\(468\) −8.12406e7 1.40713e8i −0.792566 1.37276i
\(469\) 5.70400e7i 0.552918i
\(470\) 1.29945e7 + 2.25071e7i 0.125160 + 0.216783i
\(471\) 4.87050e7 0.466134
\(472\) 1.53208e8i 1.45698i
\(473\) 1.26865e8 + 2.33769e7i 1.19883 + 0.220904i
\(474\) 1.24587e8 1.16987
\(475\) 1.26653e8i 1.18177i
\(476\) −4.27484e6 + 2.46808e6i −0.0396369 + 0.0228844i
\(477\) −3.29675e8 −3.03760
\(478\) −5.23770e7 + 3.02399e7i −0.479575 + 0.276883i
\(479\) −1.95238e7 3.38162e7i −0.177647 0.307694i 0.763427 0.645894i \(-0.223515\pi\)
−0.941074 + 0.338200i \(0.890182\pi\)
\(480\) −2.81160e8 1.62328e8i −2.54232 1.46781i
\(481\) 3.62404e7i 0.325655i
\(482\) −2.66945e7 + 4.62362e7i −0.238386 + 0.412896i
\(483\) 1.25030e8 + 2.16558e8i 1.10962 + 1.92191i
\(484\) 3.92786e7 0.346433
\(485\) −7.13308e7 + 4.11829e7i −0.625248 + 0.360987i
\(486\) 2.63422e7 4.56261e7i 0.229479 0.397470i
\(487\) 5.93251e7 1.02754e8i 0.513631 0.889636i −0.486244 0.873823i \(-0.661633\pi\)
0.999875 0.0158124i \(-0.00503344\pi\)
\(488\) −7.53502e7 + 1.30510e8i −0.648373 + 1.12301i
\(489\) 2.25855e7 0.193154
\(490\) 2.15480e7 3.73222e7i 0.183155 0.317233i
\(491\) 4.92435e7 + 2.84307e7i 0.416011 + 0.240184i 0.693369 0.720583i \(-0.256126\pi\)
−0.277358 + 0.960767i \(0.589459\pi\)
\(492\) −1.27126e8 + 7.33963e7i −1.06743 + 0.616281i
\(493\) −8.52914e6 + 4.92430e6i −0.0711811 + 0.0410964i
\(494\) −5.12315e7 −0.424968
\(495\) 5.17489e8i 4.26664i
\(496\) 6.40480e6 + 1.10934e7i 0.0524880 + 0.0909119i
\(497\) 2.28620e7 + 3.95982e7i 0.186228 + 0.322557i
\(498\) −8.05261e7 + 1.39475e8i −0.652002 + 1.12930i
\(499\) −7.73282e7 4.46455e7i −0.622352 0.359315i 0.155432 0.987847i \(-0.450323\pi\)
−0.777784 + 0.628531i \(0.783656\pi\)
\(500\) 6.97691e7i 0.558153i
\(501\) 2.90714e8 + 1.67844e8i 2.31181 + 1.33473i
\(502\) −3.95718e7 2.28468e7i −0.312805 0.180598i
\(503\) 9.16572e7 + 5.29183e7i 0.720216 + 0.415817i 0.814832 0.579697i \(-0.196829\pi\)
−0.0946163 + 0.995514i \(0.530162\pi\)
\(504\) −9.80462e7 1.69821e8i −0.765842 1.32648i
\(505\) 8.62047e7i 0.669356i
\(506\) 1.20427e8 6.95283e7i 0.929546 0.536674i
\(507\) 1.48521e6 + 857485.i 0.0113963 + 0.00657965i
\(508\) −1.62548e7 −0.123991
\(509\) −4.07676e7 + 7.06116e7i −0.309145 + 0.535455i −0.978176 0.207780i \(-0.933376\pi\)
0.669031 + 0.743235i \(0.266710\pi\)
\(510\) 1.48661e7 8.58296e6i 0.112069 0.0647034i
\(511\) −7.01336e7 1.21475e8i −0.525610 0.910383i
\(512\) 5.79586e7i 0.431826i
\(513\) 1.16262e8 + 2.01372e8i 0.861165 + 1.49158i
\(514\) 1.10145e8 0.811101
\(515\) 2.78425e8i 2.03839i
\(516\) 1.65484e8 5.87943e7i 1.20450 0.427943i
\(517\) −4.98105e7 −0.360453
\(518\) 1.82023e7i 0.130959i
\(519\) 3.24052e8 1.87091e8i 2.31799 1.33829i
\(520\) 2.04630e8 1.45532
\(521\) −2.32675e8 + 1.34335e8i −1.64527 + 0.949896i −0.666351 + 0.745638i \(0.732145\pi\)
−0.978917 + 0.204257i \(0.934522\pi\)
\(522\) −8.14124e7 1.41010e8i −0.572373 0.991379i
\(523\) −1.87003e7 1.07966e7i −0.130721 0.0754716i 0.433214 0.901291i \(-0.357380\pi\)
−0.563934 + 0.825820i \(0.690713\pi\)
\(524\) 1.13208e8i 0.786831i
\(525\) −1.46153e8 + 2.53145e8i −1.01002 + 1.74941i
\(526\) 2.28398e7 + 3.95598e7i 0.156941 + 0.271829i
\(527\) −5.92714e6 −0.0404961
\(528\) 6.15773e7 3.55517e7i 0.418330 0.241523i
\(529\) −1.25819e8 + 2.17925e8i −0.849924 + 1.47211i
\(530\) 8.63965e7 1.49643e8i 0.580321 1.00515i
\(531\) −2.63278e8 + 4.56011e8i −1.75846 + 3.04574i
\(532\) 6.38757e7 0.424229
\(533\) 7.32702e7 1.26908e8i 0.483889 0.838120i
\(534\) 2.10835e8 + 1.21726e8i 1.38458 + 0.799390i
\(535\) 5.33097e7 3.07784e7i 0.348133 0.200994i
\(536\) −8.98590e7 + 5.18801e7i −0.583535 + 0.336904i
\(537\) −3.53442e8 −2.28242
\(538\) 4.20125e7i 0.269794i
\(539\) 4.12989e7 + 7.15318e7i 0.263738 + 0.456807i
\(540\) −1.93261e8 3.34738e8i −1.22734 2.12581i
\(541\) 1.43291e8 2.48187e8i 0.904953 1.56742i 0.0839719 0.996468i \(-0.473239\pi\)
0.820981 0.570956i \(-0.193427\pi\)
\(542\) −1.39115e6 803180.i −0.00873726 0.00504446i
\(543\) 5.69867e8i 3.55937i
\(544\) 1.23163e7 + 7.11080e6i 0.0765037 + 0.0441694i
\(545\) −1.35020e8 7.79539e7i −0.834082 0.481558i
\(546\) 1.02398e8 + 5.91195e7i 0.629091 + 0.363206i
\(547\) −1.33412e7 2.31076e7i −0.0815140 0.141186i 0.822386 0.568929i \(-0.192642\pi\)
−0.903900 + 0.427743i \(0.859309\pi\)
\(548\) 1.55536e8i 0.945128i
\(549\) −4.48549e8 + 2.58970e8i −2.71077 + 1.56506i
\(550\) 1.40772e8 + 8.12750e7i 0.846115 + 0.488505i
\(551\) 1.27444e8 0.761844
\(552\) 2.27439e8 3.93936e8i 1.35222 2.34212i
\(553\) 1.34294e8 7.75344e7i 0.794109 0.458479i
\(554\) 1.75564e7 + 3.04086e7i 0.103254 + 0.178841i
\(555\) 1.57134e8i 0.919160i
\(556\) 4.24860e6 + 7.35879e6i 0.0247184 + 0.0428136i
\(557\) 1.78573e8 1.03335 0.516677 0.856180i \(-0.327169\pi\)
0.516677 + 0.856180i \(0.327169\pi\)
\(558\) 9.79921e7i 0.564012i
\(559\) −1.13721e8 + 1.33430e8i −0.651034 + 0.763867i
\(560\) −4.61753e7 −0.262933
\(561\) 3.29003e7i 0.186342i
\(562\) −6.89122e7 + 3.97865e7i −0.388228 + 0.224144i
\(563\) −2.40345e8 −1.34682 −0.673412 0.739267i \(-0.735172\pi\)
−0.673412 + 0.739267i \(0.735172\pi\)
\(564\) −5.87259e7 + 3.39054e7i −0.327335 + 0.188987i
\(565\) 1.32402e8 + 2.29327e8i 0.734091 + 1.27148i
\(566\) 68224.4 + 39389.4i 0.000376262 + 0.000217235i
\(567\) 2.32466e8i 1.27529i
\(568\) 4.15879e7 7.20323e7i 0.226945 0.393081i
\(569\) 1.26403e8 + 2.18936e8i 0.686152 + 1.18845i 0.973073 + 0.230496i \(0.0740348\pi\)
−0.286921 + 0.957954i \(0.592632\pi\)
\(570\) −2.22133e8 −1.19947
\(571\) 1.07818e8 6.22489e7i 0.579141 0.334367i −0.181651 0.983363i \(-0.558144\pi\)
0.760792 + 0.648996i \(0.224811\pi\)
\(572\) −8.16104e7 + 1.41353e8i −0.436071 + 0.755297i
\(573\) 2.70909e8 4.69227e8i 1.43999 2.49413i
\(574\) 3.68010e7 6.37412e7i 0.194592 0.337043i
\(575\) −4.67199e8 −2.45753
\(576\) −7.07798e7 + 1.22594e8i −0.370375 + 0.641508i
\(577\) −1.52174e7 8.78578e6i −0.0792161 0.0457354i 0.459869 0.887987i \(-0.347896\pi\)
−0.539085 + 0.842251i \(0.681230\pi\)
\(578\) 8.89630e7 5.13628e7i 0.460708 0.265990i
\(579\) 1.82166e7 1.05173e7i 0.0938493 0.0541839i
\(580\) −2.11849e8 −1.08578
\(581\) 2.00456e8i 1.02209i
\(582\) 4.32873e7 + 7.49759e7i 0.219580 + 0.380323i
\(583\) 1.65588e8 + 2.86806e8i 0.835646 + 1.44738i
\(584\) −1.27578e8 + 2.20972e8i −0.640529 + 1.10943i
\(585\) 6.09065e8 + 3.51644e8i 3.04226 + 1.75645i
\(586\) 1.17876e8i 0.585779i
\(587\) −2.39183e8 1.38093e8i −1.18254 0.682741i −0.225941 0.974141i \(-0.572546\pi\)
−0.956601 + 0.291400i \(0.905879\pi\)
\(588\) 9.73818e7 + 5.62234e7i 0.479011 + 0.276557i
\(589\) 6.64235e7 + 3.83496e7i 0.325069 + 0.187679i
\(590\) −1.37992e8 2.39010e8i −0.671892 1.16375i
\(591\) 1.51676e8i 0.734776i
\(592\) −1.28830e7 + 7.43800e6i −0.0620943 + 0.0358502i
\(593\) 3.91346e6 + 2.25944e6i 0.0187671 + 0.0108352i 0.509354 0.860557i \(-0.329884\pi\)
−0.490587 + 0.871392i \(0.663218\pi\)
\(594\) −2.98429e8 −1.42391
\(595\) 1.06829e7 1.85033e7i 0.0507152 0.0878414i
\(596\) 6.00664e7 3.46793e7i 0.283722 0.163807i
\(597\) −5.82610e7 1.00911e8i −0.273813 0.474259i
\(598\) 1.88983e8i 0.883731i
\(599\) 2.72993e7 + 4.72838e7i 0.127020 + 0.220005i 0.922521 0.385948i \(-0.126125\pi\)
−0.795501 + 0.605952i \(0.792792\pi\)
\(600\) 5.31729e8 2.46171
\(601\) 1.39963e8i 0.644746i −0.946613 0.322373i \(-0.895520\pi\)
0.946613 0.322373i \(-0.104480\pi\)
\(602\) −5.71179e7 + 6.70171e7i −0.261808 + 0.307182i
\(603\) −3.56612e8 −1.62646
\(604\) 598160.i 0.00271461i
\(605\) −1.47237e8 + 8.50072e7i −0.664891 + 0.383875i
\(606\) 9.06098e7 0.407153
\(607\) −2.16886e8 + 1.25219e8i −0.969764 + 0.559893i −0.899164 0.437611i \(-0.855825\pi\)
−0.0705996 + 0.997505i \(0.522491\pi\)
\(608\) −9.20163e7 1.59377e8i −0.409406 0.709111i
\(609\) −2.54727e8 1.47067e8i −1.12778 0.651123i
\(610\) 2.71468e8i 1.19600i
\(611\) 3.38472e7 5.86250e7i 0.148388 0.257016i
\(612\) 1.54303e7 + 2.67261e7i 0.0673165 + 0.116596i
\(613\) 3.59651e8 1.56135 0.780674 0.624939i \(-0.214876\pi\)
0.780674 + 0.624939i \(0.214876\pi\)
\(614\) 8.57771e7 4.95235e7i 0.370567 0.213947i
\(615\) 3.17690e8 5.50256e8i 1.36577 2.36559i
\(616\) −9.84925e7 + 1.70594e8i −0.421367 + 0.729830i
\(617\) 1.61630e8 2.79952e8i 0.688124 1.19187i −0.284320 0.958730i \(-0.591768\pi\)
0.972444 0.233137i \(-0.0748990\pi\)
\(618\) −2.92653e8 −1.23990
\(619\) −1.43452e8 + 2.48465e8i −0.604830 + 1.04760i 0.387249 + 0.921975i \(0.373426\pi\)
−0.992078 + 0.125621i \(0.959908\pi\)
\(620\) −1.10415e8 6.37481e7i −0.463290 0.267481i
\(621\) 7.42824e8 4.28869e8i 3.10178 1.79081i
\(622\) 8.38798e7 4.84280e7i 0.348567 0.201245i
\(623\) 3.03015e8 1.25314
\(624\) 9.66321e7i 0.397711i
\(625\) 3.15787e7 + 5.46958e7i 0.129346 + 0.224034i
\(626\) 2.76198e7 + 4.78389e7i 0.112589 + 0.195010i
\(627\) 2.12871e8 3.68703e8i 0.863601 1.49580i
\(628\) −3.97450e7 2.29468e7i −0.160474 0.0926495i
\(629\) 6.88329e6i 0.0276595i
\(630\) 3.05912e8 + 1.76618e8i 1.22342 + 0.706340i
\(631\) −4.08952e8 2.36109e8i −1.62774 0.939775i −0.984766 0.173885i \(-0.944368\pi\)
−0.642972 0.765890i \(-0.722299\pi\)
\(632\) −2.44291e8 1.41041e8i −0.967733 0.558721i
\(633\) −3.78642e8 6.55827e8i −1.49285 2.58570i
\(634\) 1.74845e7i 0.0686096i
\(635\) 6.09314e7 3.51788e7i 0.237969 0.137391i
\(636\) 3.90452e8 + 2.25427e8i 1.51773 + 0.876264i
\(637\) −1.12254e8 −0.434292
\(638\) −8.17830e7 + 1.41652e8i −0.314921 + 0.545458i
\(639\) 2.47566e8 1.42933e8i 0.948832 0.547808i
\(640\) 1.77477e8 + 3.07400e8i 0.677022 + 1.17264i
\(641\) 2.26172e8i 0.858745i −0.903127 0.429373i \(-0.858735\pi\)
0.903127 0.429373i \(-0.141265\pi\)
\(642\) −3.23511e7 5.60338e7i −0.122260 0.211761i
\(643\) 8.31389e7 0.312731 0.156366 0.987699i \(-0.450022\pi\)
0.156366 + 0.987699i \(0.450022\pi\)
\(644\) 2.35626e8i 0.882196i
\(645\) −4.93078e8 + 5.78535e8i −1.83754 + 2.15601i
\(646\) 9.73059e6 0.0360946
\(647\) 8.91000e7i 0.328977i 0.986379 + 0.164488i \(0.0525973\pi\)
−0.986379 + 0.164488i \(0.947403\pi\)
\(648\) −3.66219e8 + 2.11437e8i −1.34591 + 0.777062i
\(649\) 5.28954e8 1.93501
\(650\) −1.91315e8 + 1.10456e8i −0.696641 + 0.402206i
\(651\) −8.85086e7 1.53301e8i −0.320806 0.555652i
\(652\) −1.84306e7 1.06409e7i −0.0664960 0.0383915i
\(653\) 7.29592e7i 0.262024i 0.991381 + 0.131012i \(0.0418226\pi\)
−0.991381 + 0.131012i \(0.958177\pi\)
\(654\) −8.19374e7 + 1.41920e8i −0.292920 + 0.507352i
\(655\) −2.45005e8 4.24361e8i −0.871869 1.51012i
\(656\) 6.01520e7 0.213078
\(657\) −7.59456e8 + 4.38472e8i −2.67798 + 1.54613i
\(658\) 1.70002e7 2.94453e7i 0.0596729 0.103357i
\(659\) 3.53221e7 6.11797e7i 0.123421 0.213772i −0.797693 0.603063i \(-0.793947\pi\)
0.921115 + 0.389291i \(0.127280\pi\)
\(660\) −3.53852e8 + 6.12890e8i −1.23081 + 2.13182i
\(661\) −8.55699e7 −0.296290 −0.148145 0.988966i \(-0.547330\pi\)
−0.148145 + 0.988966i \(0.547330\pi\)
\(662\) 9.21890e6 1.59676e7i 0.0317764 0.0550384i
\(663\) −3.87224e7 2.23564e7i −0.132868 0.0767115i
\(664\) 3.15792e8 1.82323e8i 1.07869 0.622782i
\(665\) −2.39440e8 + 1.38241e8i −0.814200 + 0.470079i
\(666\) 1.13800e8 0.385229
\(667\) 4.70119e8i 1.58427i
\(668\) −1.58155e8 2.73933e8i −0.530584 0.918999i
\(669\) −1.04460e8 1.80930e8i −0.348876 0.604270i
\(670\) 9.34557e7 1.61870e8i 0.310729 0.538198i
\(671\) 4.50590e8 + 2.60148e8i 1.49147 + 0.861100i
\(672\) 4.24736e8i 1.39962i
\(673\) 2.17027e7 + 1.25301e7i 0.0711981 + 0.0411062i 0.535176 0.844740i \(-0.320245\pi\)
−0.463978 + 0.885847i \(0.653578\pi\)
\(674\) −1.42590e8 8.23245e7i −0.465704 0.268874i
\(675\) 8.68322e8 + 5.01326e8i 2.82338 + 1.63008i
\(676\) −807989. 1.39948e6i −0.00261556 0.00453029i
\(677\) 2.44656e8i 0.788478i −0.919008 0.394239i \(-0.871008\pi\)
0.919008 0.394239i \(-0.128992\pi\)
\(678\) 2.41046e8 1.39168e8i 0.773412 0.446530i
\(679\) 9.33198e7 + 5.38782e7i 0.298102 + 0.172109i
\(680\) −3.88661e7 −0.123607
\(681\) 3.89681e6 6.74947e6i 0.0123386 0.0213712i
\(682\) −8.52499e7 + 4.92191e7i −0.268745 + 0.155160i
\(683\) 7.95565e6 + 1.37796e7i 0.0249697 + 0.0432488i 0.878240 0.478220i \(-0.158718\pi\)
−0.853271 + 0.521469i \(0.825384\pi\)
\(684\) 3.99348e8i 1.24791i
\(685\) 3.36614e8 + 5.83032e8i 1.04727 + 1.81393i
\(686\) −1.86679e8 −0.578261
\(687\) 6.99997e8i 2.15887i
\(688\) −7.07727e7 1.30410e7i −0.217320 0.0400447i
\(689\) −4.50080e8 −1.37604
\(690\) 8.19408e8i 2.49432i
\(691\) −4.09123e8 + 2.36207e8i −1.23999 + 0.715911i −0.969093 0.246696i \(-0.920655\pi\)
−0.270902 + 0.962607i \(0.587322\pi\)
\(692\) −3.52584e8 −1.06401
\(693\) −5.86311e8 + 3.38507e8i −1.76169 + 1.01711i
\(694\) −6.72787e7 1.16530e8i −0.201279 0.348626i
\(695\) −3.18519e7 1.83897e7i −0.0948815 0.0547799i
\(696\) 5.35052e8i 1.58697i
\(697\) −1.39165e7 + 2.41041e7i −0.0410990 + 0.0711856i
\(698\) 6.75406e7 + 1.16984e8i 0.198609 + 0.344001i
\(699\) −3.39046e7 −0.0992720
\(700\) 2.38533e8 1.37717e8i 0.695431 0.401507i
\(701\) 1.46099e8 2.53050e8i 0.424123 0.734603i −0.572215 0.820104i \(-0.693916\pi\)
0.996338 + 0.0855008i \(0.0272490\pi\)
\(702\) 2.02788e8 3.51239e8i 0.586180 1.01529i
\(703\) −4.45361e7 + 7.71387e7i −0.128188 + 0.222027i
\(704\) 1.42204e8 0.407562
\(705\) 1.46757e8 2.54191e8i 0.418824 0.725425i
\(706\) 6.40631e7 + 3.69869e7i 0.182051 + 0.105107i
\(707\) 9.76693e7 5.63894e7i 0.276376 0.159566i
\(708\) 6.23629e8 3.60053e8i 1.75722 1.01453i
\(709\) −2.48444e8 −0.697090 −0.348545 0.937292i \(-0.613324\pi\)
−0.348545 + 0.937292i \(0.613324\pi\)
\(710\) 1.49831e8i 0.418626i
\(711\) −4.84742e8 8.39598e8i −1.34866 2.33594i
\(712\) −2.75604e8 4.77361e8i −0.763565 1.32253i
\(713\) 1.41465e8 2.45024e8i 0.390283 0.675989i
\(714\) −1.94489e7 1.12288e7i −0.0534318 0.0308489i
\(715\) 7.06489e8i 1.93280i
\(716\) 2.88421e8 + 1.66520e8i 0.785757 + 0.453657i
\(717\) 5.91536e8 + 3.41523e8i 1.60481 + 0.926537i
\(718\) −1.03521e8 5.97680e7i −0.279677 0.161471i
\(719\) 2.72842e8 + 4.72575e8i 0.734047 + 1.27141i 0.955140 + 0.296154i \(0.0957042\pi\)
−0.221093 + 0.975253i \(0.570962\pi\)
\(720\) 2.88686e8i 0.773443i
\(721\) −3.15454e8 + 1.82127e8i −0.841646 + 0.485925i
\(722\) 6.56170e7 + 3.78840e7i 0.174343 + 0.100657i
\(723\) 6.02964e8 1.59543
\(724\) 2.68486e8 4.65031e8i 0.707467 1.22537i
\(725\) 4.75919e8 2.74772e8i 1.24888 0.721039i
\(726\) 8.93511e7 + 1.54761e8i 0.233502 + 0.404437i
\(727\) 5.40636e8i 1.40702i 0.710683 + 0.703512i \(0.248386\pi\)
−0.710683 + 0.703512i \(0.751614\pi\)
\(728\) −1.33855e8 2.31844e8i −0.346929 0.600898i
\(729\) 6.09694e7 0.157373
\(730\) 4.59634e8i 1.18153i
\(731\) 2.15994e7 2.53429e7i 0.0552955 0.0648789i
\(732\) 7.08320e8 1.80591
\(733\) 1.23308e8i 0.313096i −0.987670 0.156548i \(-0.949963\pi\)
0.987670 0.156548i \(-0.0500367\pi\)
\(734\) −3.43642e7 + 1.98402e7i −0.0868996 + 0.0501715i
\(735\) −4.86717e8 −1.22579
\(736\) −5.87911e8 + 3.39431e8i −1.47461 + 0.851369i
\(737\) 1.79117e8 + 3.10241e8i 0.447441 + 0.774990i
\(738\) −3.98507e8 2.30078e8i −0.991442 0.572409i
\(739\) 3.23751e8i 0.802192i −0.916036 0.401096i \(-0.868629\pi\)
0.916036 0.401096i \(-0.131371\pi\)
\(740\) 7.40318e7 1.28227e8i 0.182694 0.316435i
\(741\) 2.89299e8 + 5.01081e8i 0.711038 + 1.23155i
\(742\) −2.26059e8 −0.553364
\(743\) −3.22340e8 + 1.86103e8i −0.785865 + 0.453719i −0.838505 0.544894i \(-0.816570\pi\)
0.0526399 + 0.998614i \(0.483236\pi\)
\(744\) −1.61004e8 + 2.78867e8i −0.390947 + 0.677140i
\(745\) −1.50107e8 + 2.59993e8i −0.363021 + 0.628771i
\(746\) −9.39539e7 + 1.62733e8i −0.226307 + 0.391976i
\(747\) 1.25324e9 3.00658
\(748\) 1.55006e7 2.68478e7i 0.0370376 0.0641511i
\(749\) −6.97433e7 4.02663e7i −0.165980 0.0958289i
\(750\) −2.74896e8 + 1.58711e8i −0.651604 + 0.376204i
\(751\) −4.22379e8 + 2.43860e8i −0.997200 + 0.575733i −0.907419 0.420228i \(-0.861950\pi\)
−0.0897811 + 0.995962i \(0.528617\pi\)
\(752\) 2.77872e7 0.0653419
\(753\) 5.16054e8i 1.20868i
\(754\) −1.11146e8 1.92511e8i −0.259287 0.449098i
\(755\) −1.29455e6 2.24222e6i −0.00300799 0.00520999i
\(756\) −2.52837e8 + 4.37927e8i −0.585161 + 1.01353i
\(757\) 5.05455e8 + 2.91824e8i 1.16518 + 0.672720i 0.952541 0.304410i \(-0.0984594\pi\)
0.212643 + 0.977130i \(0.431793\pi\)
\(758\) 2.83519e8i 0.650990i
\(759\) −1.36008e9 7.85240e8i −3.11055 1.79588i
\(760\) 4.35560e8 + 2.51470e8i 0.992217 + 0.572857i
\(761\) −3.53607e7 2.04155e7i −0.0802355 0.0463240i 0.459345 0.888258i \(-0.348084\pi\)
−0.539581 + 0.841934i \(0.681417\pi\)
\(762\) −3.69764e7 6.40450e7i −0.0835718 0.144751i
\(763\) 2.03969e8i 0.459188i
\(764\) −4.42142e8 + 2.55271e8i −0.991475 + 0.572429i