Properties

Label 43.7.h.a.12.14
Level $43$
Weight $7$
Character 43.12
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 12.14
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.14

$q$-expansion

\(f(q)\) \(=\) \(q+(2.71537 + 5.63853i) q^{2} +(26.7438 + 39.2259i) q^{3} +(15.4836 - 19.4158i) q^{4} +(-88.5928 + 95.4804i) q^{5} +(-148.557 + 257.309i) q^{6} +(-56.9713 + 32.8924i) q^{7} +(542.009 + 123.710i) q^{8} +(-557.109 + 1419.49i) q^{9} +O(q^{10})\) \(q+(2.71537 + 5.63853i) q^{2} +(26.7438 + 39.2259i) q^{3} +(15.4836 - 19.4158i) q^{4} +(-88.5928 + 95.4804i) q^{5} +(-148.557 + 257.309i) q^{6} +(-56.9713 + 32.8924i) q^{7} +(542.009 + 123.710i) q^{8} +(-557.109 + 1419.49i) q^{9} +(-778.932 - 240.269i) q^{10} +(-698.868 - 876.353i) q^{11} +(1175.69 + 88.1058i) q^{12} +(2664.69 - 821.948i) q^{13} +(-340.163 - 231.919i) q^{14} +(-6114.61 - 921.630i) q^{15} +(420.549 + 1842.55i) q^{16} +(573.969 - 532.566i) q^{17} +(-9516.61 + 713.171i) q^{18} +(-8774.55 + 3443.76i) q^{19} +(482.092 + 3198.47i) q^{20} +(-2813.86 - 1355.08i) q^{21} +(3043.66 - 6320.22i) q^{22} +(13600.0 - 2049.88i) q^{23} +(9642.73 + 24569.3i) q^{24} +(-100.153 - 1336.44i) q^{25} +(11870.2 + 12793.0i) q^{26} +(-36838.3 + 8408.11i) q^{27} +(-243.487 + 1615.43i) q^{28} +(2791.31 - 4094.11i) q^{29} +(-11406.8 - 36980.0i) q^{30} +(149.682 - 1997.37i) q^{31} +(18570.8 - 14809.7i) q^{32} +(15685.4 - 50850.7i) q^{33} +(4561.43 + 1790.23i) q^{34} +(1906.67 - 8353.67i) q^{35} +(18934.5 + 32795.5i) q^{36} +(6756.33 + 3900.77i) q^{37} +(-43243.9 - 40124.5i) q^{38} +(103506. + 82543.0i) q^{39} +(-59830.0 + 40791.4i) q^{40} +(83404.6 - 40165.5i) q^{41} -19545.6i q^{42} +(71359.7 + 35059.4i) q^{43} -27836.0 q^{44} +(-86177.7 - 178950. i) q^{45} +(48487.5 + 71118.1i) q^{46} +(47685.4 - 59795.6i) q^{47} +(-61028.5 + 65773.1i) q^{48} +(-56660.7 + 98139.2i) q^{49} +(7263.62 - 4193.66i) q^{50} +(36240.5 + 8271.65i) q^{51} +(25300.1 - 64463.7i) q^{52} +(222923. + 68762.8i) q^{53} +(-147439. - 184883. i) q^{54} +(145589. + 10910.4i) q^{55} +(-34948.1 + 10780.1i) q^{56} +(-369749. - 252091. i) q^{57} +(30664.2 + 4621.89i) q^{58} +(18327.3 + 80297.2i) q^{59} +(-112570. + 104450. i) q^{60} +(-427756. + 32055.9i) q^{61} +(11668.7 - 4579.62i) q^{62} +(-14951.2 - 99195.0i) q^{63} +(242909. + 116979. i) q^{64} +(-157593. + 327244. i) q^{65} +(329315. - 49636.3i) q^{66} +(-180693. - 460399. i) q^{67} +(-1453.08 - 19390.1i) q^{68} +(444125. + 478653. i) q^{69} +(52279.8 - 11932.5i) q^{70} +(-46629.9 + 309369. i) q^{71} +(-477564. + 700457. i) q^{72} +(2251.07 + 7297.80i) q^{73} +(-3648.65 + 48687.8i) q^{74} +(49744.7 - 39670.1i) q^{75} +(-68998.1 + 223686. i) q^{76} +(68640.8 + 26939.5i) q^{77} +(-184365. + 807755. i) q^{78} +(-456987. - 791525. i) q^{79} +(-213185. - 123082. i) q^{80} +(-500112. - 464036. i) q^{81} +(452949. + 361215. i) q^{82} +(889997. - 606789. i) q^{83} +(-69878.6 + 33651.8i) q^{84} +101984. i q^{85} +(-3915.39 + 497563. i) q^{86} +235245. q^{87} +(-270379. - 561448. i) q^{88} +(-683484. - 1.00249e6i) q^{89} +(775010. - 971831. i) q^{90} +(-124775. + 134476. i) q^{91} +(170777. - 295795. i) q^{92} +(82351.7 - 47545.8i) q^{93} +(466643. + 106508. i) q^{94} +(448551. - 1.14289e6i) q^{95} +(1.07758e6 + 332388. i) q^{96} +(-469256. - 588429. i) q^{97} +(-707216. - 52998.5i) q^{98} +(1.63332e6 - 503813. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.71537 + 5.63853i 0.339422 + 0.704817i 0.998899 0.0469078i \(-0.0149367\pi\)
−0.659477 + 0.751724i \(0.729222\pi\)
\(3\) 26.7438 + 39.2259i 0.990510 + 1.45281i 0.888962 + 0.457981i \(0.151427\pi\)
0.101548 + 0.994831i \(0.467620\pi\)
\(4\) 15.4836 19.4158i 0.241931 0.303371i
\(5\) −88.5928 + 95.4804i −0.708743 + 0.763843i −0.980072 0.198644i \(-0.936346\pi\)
0.271329 + 0.962487i \(0.412537\pi\)
\(6\) −148.557 + 257.309i −0.687765 + 1.19124i
\(7\) −56.9713 + 32.8924i −0.166097 + 0.0958962i −0.580744 0.814086i \(-0.697238\pi\)
0.414647 + 0.909982i \(0.363905\pi\)
\(8\) 542.009 + 123.710i 1.05861 + 0.241621i
\(9\) −557.109 + 1419.49i −0.764210 + 1.94718i
\(10\) −778.932 240.269i −0.778932 0.240269i
\(11\) −698.868 876.353i −0.525070 0.658417i 0.446607 0.894730i \(-0.352632\pi\)
−0.971677 + 0.236313i \(0.924061\pi\)
\(12\) 1175.69 + 88.1058i 0.680376 + 0.0509872i
\(13\) 2664.69 821.948i 1.21288 0.374123i 0.378648 0.925541i \(-0.376389\pi\)
0.834229 + 0.551418i \(0.185913\pi\)
\(14\) −340.163 231.919i −0.123966 0.0845187i
\(15\) −6114.61 921.630i −1.81174 0.273075i
\(16\) 420.549 + 1842.55i 0.102673 + 0.449840i
\(17\) 573.969 532.566i 0.116827 0.108399i −0.619597 0.784920i \(-0.712704\pi\)
0.736423 + 0.676521i \(0.236513\pi\)
\(18\) −9516.61 + 713.171i −1.63179 + 0.122286i
\(19\) −8774.55 + 3443.76i −1.27928 + 0.502078i −0.905068 0.425267i \(-0.860180\pi\)
−0.374207 + 0.927345i \(0.622085\pi\)
\(20\) 482.092 + 3198.47i 0.0602615 + 0.399809i
\(21\) −2813.86 1355.08i −0.303840 0.146322i
\(22\) 3043.66 6320.22i 0.285843 0.593559i
\(23\) 13600.0 2049.88i 1.11778 0.168478i 0.435938 0.899977i \(-0.356417\pi\)
0.681843 + 0.731498i \(0.261179\pi\)
\(24\) 9642.73 + 24569.3i 0.697535 + 1.77729i
\(25\) −100.153 1336.44i −0.00640976 0.0855323i
\(26\) 11870.2 + 12793.0i 0.675365 + 0.727870i
\(27\) −36838.3 + 8408.11i −1.87158 + 0.427176i
\(28\) −243.487 + 1615.43i −0.0110918 + 0.0735893i
\(29\) 2791.31 4094.11i 0.114450 0.167867i −0.764740 0.644339i \(-0.777132\pi\)
0.879189 + 0.476472i \(0.158085\pi\)
\(30\) −11406.8 36980.0i −0.422475 1.36963i
\(31\) 149.682 1997.37i 0.00502441 0.0670461i −0.994128 0.108211i \(-0.965488\pi\)
0.999152 + 0.0411648i \(0.0131069\pi\)
\(32\) 18570.8 14809.7i 0.566735 0.451956i
\(33\) 15685.4 50850.7i 0.436469 1.41500i
\(34\) 4561.43 + 1790.23i 0.116055 + 0.0455483i
\(35\) 1906.67 8353.67i 0.0444705 0.194838i
\(36\) 18934.5 + 32795.5i 0.405832 + 0.702921i
\(37\) 6756.33 + 3900.77i 0.133385 + 0.0770096i 0.565207 0.824949i \(-0.308796\pi\)
−0.431823 + 0.901958i \(0.642129\pi\)
\(38\) −43243.9 40124.5i −0.788087 0.731238i
\(39\) 103506. + 82543.0i 1.74490 + 1.39151i
\(40\) −59830.0 + 40791.4i −0.934844 + 0.637366i
\(41\) 83404.6 40165.5i 1.21015 0.582776i 0.283596 0.958944i \(-0.408473\pi\)
0.926552 + 0.376168i \(0.122758\pi\)
\(42\) 19545.6i 0.263816i
\(43\) 71359.7 + 35059.4i 0.897527 + 0.440960i
\(44\) −27836.0 −0.326775
\(45\) −86177.7 178950.i −0.945708 1.96378i
\(46\) 48487.5 + 71118.1i 0.498146 + 0.730645i
\(47\) 47685.4 59795.6i 0.459295 0.575938i −0.497219 0.867625i \(-0.665645\pi\)
0.956514 + 0.291688i \(0.0942167\pi\)
\(48\) −61028.5 + 65773.1i −0.551835 + 0.594736i
\(49\) −56660.7 + 98139.2i −0.481608 + 0.834169i
\(50\) 7263.62 4193.66i 0.0581090 0.0335492i
\(51\) 36240.5 + 8271.65i 0.273202 + 0.0623565i
\(52\) 25300.1 64463.7i 0.179934 0.458464i
\(53\) 222923. + 68762.8i 1.49737 + 0.461877i 0.931845 0.362857i \(-0.118199\pi\)
0.565522 + 0.824733i \(0.308675\pi\)
\(54\) −147439. 184883.i −0.936336 1.17413i
\(55\) 145589. + 10910.4i 0.875066 + 0.0655772i
\(56\) −34948.1 + 10780.1i −0.199003 + 0.0613842i
\(57\) −369749. 252091.i −1.99656 1.36123i
\(58\) 30664.2 + 4621.89i 0.157162 + 0.0236884i
\(59\) 18327.3 + 80297.2i 0.0892366 + 0.390971i 0.999746 0.0225163i \(-0.00716776\pi\)
−0.910510 + 0.413487i \(0.864311\pi\)
\(60\) −112570. + 104450.i −0.521158 + 0.483564i
\(61\) −427756. + 32055.9i −1.88455 + 0.141227i −0.966733 0.255787i \(-0.917665\pi\)
−0.917812 + 0.397014i \(0.870046\pi\)
\(62\) 11668.7 4579.62i 0.0489606 0.0192156i
\(63\) −14951.2 99195.0i −0.0597937 0.396705i
\(64\) 242909. + 116979.i 0.926623 + 0.446238i
\(65\) −157593. + 327244.i −0.573847 + 1.19160i
\(66\) 329315. 49636.3i 1.14546 0.172650i
\(67\) −180693. 460399.i −0.600783 1.53077i −0.830214 0.557444i \(-0.811782\pi\)
0.229432 0.973325i \(-0.426313\pi\)
\(68\) −1453.08 19390.1i −0.00462130 0.0616670i
\(69\) 444125. + 478653.i 1.35194 + 1.45705i
\(70\) 52279.8 11932.5i 0.152419 0.0347887i
\(71\) −46629.9 + 309369.i −0.130283 + 0.864375i 0.824240 + 0.566240i \(0.191602\pi\)
−0.954524 + 0.298134i \(0.903636\pi\)
\(72\) −477564. + 700457.i −1.27948 + 1.87665i
\(73\) 2251.07 + 7297.80i 0.00578657 + 0.0187596i 0.958420 0.285361i \(-0.0921136\pi\)
−0.952633 + 0.304121i \(0.901637\pi\)
\(74\) −3648.65 + 48687.8i −0.00900402 + 0.120150i
\(75\) 49744.7 39670.1i 0.117913 0.0940328i
\(76\) −68998.1 + 223686.i −0.157180 + 0.509564i
\(77\) 68640.8 + 26939.5i 0.150352 + 0.0590089i
\(78\) −184365. + 807755.i −0.388503 + 1.70214i
\(79\) −456987. 791525.i −0.926878 1.60540i −0.788512 0.615019i \(-0.789148\pi\)
−0.138366 0.990381i \(-0.544185\pi\)
\(80\) −213185. 123082.i −0.416376 0.240395i
\(81\) −500112. 464036.i −0.941049 0.873166i
\(82\) 452949. + 361215.i 0.821501 + 0.655125i
\(83\) 889997. 606789.i 1.55652 1.06122i 0.589091 0.808067i \(-0.299486\pi\)
0.967427 0.253149i \(-0.0814662\pi\)
\(84\) −69878.6 + 33651.8i −0.117898 + 0.0567767i
\(85\) 101984.i 0.166064i
\(86\) −3915.39 + 497563.i −0.00615573 + 0.782263i
\(87\) 235245. 0.357243
\(88\) −270379. 561448.i −0.396758 0.823876i
\(89\) −683484. 1.00249e6i −0.969524 1.42203i −0.905627 0.424074i \(-0.860600\pi\)
−0.0638966 0.997957i \(-0.520353\pi\)
\(90\) 775010. 971831.i 1.06311 1.33310i
\(91\) −124775. + 134476.i −0.165578 + 0.178451i
\(92\) 170777. 295795.i 0.219314 0.379863i
\(93\) 82351.7 47545.8i 0.102382 0.0591103i
\(94\) 466643. + 106508.i 0.561825 + 0.128233i
\(95\) 448551. 1.14289e6i 0.523168 1.33301i
\(96\) 1.07758e6 + 332388.i 1.21796 + 0.375692i
\(97\) −469256. 588429.i −0.514156 0.644731i 0.455201 0.890389i \(-0.349568\pi\)
−0.969357 + 0.245658i \(0.920996\pi\)
\(98\) −707216. 52998.5i −0.751404 0.0563100i
\(99\) 1.63332e6 503813.i 1.68332 0.519235i
\(100\) −27498.8 18748.4i −0.0274988 0.0187484i
\(101\) −1.43310e6 216005.i −1.39095 0.209653i −0.589529 0.807748i \(-0.700686\pi\)
−0.801425 + 0.598095i \(0.795925\pi\)
\(102\) 51766.5 + 226804.i 0.0487807 + 0.213722i
\(103\) −1.26711e6 + 1.17571e6i −1.15959 + 1.07594i −0.163591 + 0.986528i \(0.552308\pi\)
−0.995995 + 0.0894105i \(0.971502\pi\)
\(104\) 1.54597e6 115854.i 1.37436 0.102994i
\(105\) 378672. 148618.i 0.327111 0.128382i
\(106\) 217599. + 1.44368e6i 0.182701 + 1.21214i
\(107\) 233267. + 112335.i 0.190415 + 0.0916992i 0.526662 0.850075i \(-0.323443\pi\)
−0.336247 + 0.941774i \(0.609158\pi\)
\(108\) −407139. + 845432.i −0.323200 + 0.671131i
\(109\) 1.84043e6 277400.i 1.42115 0.214204i 0.606928 0.794757i \(-0.292402\pi\)
0.814222 + 0.580553i \(0.197164\pi\)
\(110\) 333810. + 850535.i 0.250797 + 0.639020i
\(111\) 27678.5 + 369344.i 0.0202383 + 0.270061i
\(112\) −84565.0 91139.4i −0.0601917 0.0648712i
\(113\) −646716. + 147609.i −0.448207 + 0.102300i −0.440666 0.897671i \(-0.645258\pi\)
−0.00754106 + 0.999972i \(0.502400\pi\)
\(114\) 417414. 2.76936e6i 0.281743 1.86924i
\(115\) −1.00914e6 + 1.48014e6i −0.663528 + 0.973217i
\(116\) −36270.7 117587.i −0.0232371 0.0753329i
\(117\) −317776. + 4.24042e6i −0.198410 + 2.64759i
\(118\) −402993. + 321376.i −0.245274 + 0.195599i
\(119\) −15182.4 + 49220.2i −0.00900949 + 0.0292080i
\(120\) −3.20016e6 1.25597e6i −1.85194 0.726835i
\(121\) 114632. 502234.i 0.0647066 0.283498i
\(122\) −1.34227e6 2.32487e6i −0.739195 1.28032i
\(123\) 3.80608e6 + 2.19744e6i 2.04533 + 1.18087i
\(124\) −36462.8 33832.6i −0.0191243 0.0177448i
\(125\) −1.45468e6 1.16007e6i −0.744795 0.593954i
\(126\) 518716. 353654.i 0.259309 0.176794i
\(127\) −575419. + 277107.i −0.280914 + 0.135281i −0.569036 0.822313i \(-0.692683\pi\)
0.288122 + 0.957594i \(0.406969\pi\)
\(128\) 167103.i 0.0796810i
\(129\) 533190. + 3.73677e6i 0.248378 + 1.74071i
\(130\) −2.27310e6 −1.03464
\(131\) −606041. 1.25846e6i −0.269580 0.559789i 0.721600 0.692310i \(-0.243407\pi\)
−0.991180 + 0.132521i \(0.957693\pi\)
\(132\) −744441. 1.09189e6i −0.323674 0.474743i
\(133\) 386624. 484811.i 0.164336 0.206071i
\(134\) 2.10532e6 2.26900e6i 0.874993 0.943018i
\(135\) 2.46080e6 4.26224e6i 1.00017 1.73235i
\(136\) 376980. 217650.i 0.149866 0.0865249i
\(137\) −154051. 35161.1i −0.0599105 0.0136742i 0.192461 0.981305i \(-0.438353\pi\)
−0.252371 + 0.967631i \(0.581210\pi\)
\(138\) −1.49293e6 + 3.80393e6i −0.568072 + 1.44742i
\(139\) −779523. 240451.i −0.290258 0.0895328i 0.146207 0.989254i \(-0.453293\pi\)
−0.436465 + 0.899721i \(0.643770\pi\)
\(140\) −132671. 166364.i −0.0483495 0.0606283i
\(141\) 3.62082e6 + 271343.i 1.29167 + 0.0967970i
\(142\) −1.87101e6 + 577129.i −0.653446 + 0.201562i
\(143\) −2.58258e6 1.76078e6i −0.883174 0.602138i
\(144\) −2.84977e6 429534.i −0.954382 0.143850i
\(145\) 143616. + 629224.i 0.0471086 + 0.206396i
\(146\) −35036.4 + 32509.0i −0.0112580 + 0.0104459i
\(147\) −5.36492e6 + 402045.i −1.68893 + 0.126568i
\(148\) 180348. 70781.5i 0.0556323 0.0218341i
\(149\) −129508. 859229.i −0.0391505 0.259747i 0.960690 0.277625i \(-0.0895471\pi\)
−0.999840 + 0.0178778i \(0.994309\pi\)
\(150\) 358757. + 172768.i 0.106298 + 0.0511906i
\(151\) 325161. 675203.i 0.0944424 0.196112i −0.848396 0.529362i \(-0.822431\pi\)
0.942838 + 0.333251i \(0.108146\pi\)
\(152\) −5.18191e6 + 781047.i −1.47557 + 0.222406i
\(153\) 436209. + 1.11144e6i 0.121792 + 0.310322i
\(154\) 34486.0 + 460184.i 0.00944237 + 0.126000i
\(155\) 177449. + 191244.i 0.0476516 + 0.0513563i
\(156\) 3.20527e6 731582.i 0.844288 0.192703i
\(157\) −651165. + 4.32020e6i −0.168264 + 1.11636i 0.732091 + 0.681206i \(0.238544\pi\)
−0.900356 + 0.435154i \(0.856694\pi\)
\(158\) 3.22215e6 4.72602e6i 0.816910 1.19819i
\(159\) 3.26453e6 + 1.05834e7i 0.812138 + 2.63289i
\(160\) −231202. + 3.08518e6i −0.0564458 + 0.753217i
\(161\) −707387. + 564122.i −0.169504 + 0.135175i
\(162\) 1.25849e6 4.07993e6i 0.296009 0.959638i
\(163\) 337089. + 132298.i 0.0778362 + 0.0305485i 0.403940 0.914786i \(-0.367641\pi\)
−0.326103 + 0.945334i \(0.605736\pi\)
\(164\) 511555. 2.24127e6i 0.115974 0.508115i
\(165\) 3.46563e6 + 6.00266e6i 0.771491 + 1.33626i
\(166\) 5.83808e6 + 3.37061e6i 1.27628 + 0.736860i
\(167\) 3.97956e6 + 3.69249e6i 0.854448 + 0.792811i 0.979942 0.199283i \(-0.0638613\pi\)
−0.125495 + 0.992094i \(0.540052\pi\)
\(168\) −1.35750e6 1.08257e6i −0.286294 0.228312i
\(169\) 2.43688e6 1.66144e6i 0.504864 0.344211i
\(170\) −575042. + 276926.i −0.117045 + 0.0563659i
\(171\) 1.43739e7i 2.87467i
\(172\) 1.78561e6 842658.i 0.350914 0.165602i
\(173\) −3.31865e6 −0.640948 −0.320474 0.947257i \(-0.603842\pi\)
−0.320474 + 0.947257i \(0.603842\pi\)
\(174\) 638779. + 1.32644e6i 0.121256 + 0.251791i
\(175\) 49664.6 + 72844.6i 0.00926687 + 0.0135920i
\(176\) 1.32081e6 1.65625e6i 0.242272 0.303799i
\(177\) −2.65959e6 + 2.86636e6i −0.479618 + 0.516905i
\(178\) 3.79664e6 6.57598e6i 0.673193 1.16600i
\(179\) −2.07039e6 + 1.19534e6i −0.360988 + 0.208417i −0.669514 0.742799i \(-0.733498\pi\)
0.308526 + 0.951216i \(0.400164\pi\)
\(180\) −4.80879e6 1.09757e6i −0.824552 0.188199i
\(181\) 229088. 583706.i 0.0386337 0.0984371i −0.910255 0.414049i \(-0.864114\pi\)
0.948889 + 0.315611i \(0.102210\pi\)
\(182\) −1.09706e6 338397.i −0.181976 0.0561322i
\(183\) −1.26972e7 1.59218e7i −2.07184 2.59800i
\(184\) 7.62494e6 + 571410.i 1.22400 + 0.0917264i
\(185\) −971009. + 299517.i −0.153359 + 0.0473048i
\(186\) 491704. + 335238.i 0.0764126 + 0.0520972i
\(187\) −867844. 130806.i −0.132714 0.0200034i
\(188\) −422638. 1.85170e6i −0.0636055 0.278674i
\(189\) 1.82216e6 1.69072e6i 0.269900 0.250430i
\(190\) 7.66220e6 574203.i 1.11710 0.0837152i
\(191\) 2.72991e6 1.07141e6i 0.391786 0.153765i −0.161267 0.986911i \(-0.551558\pi\)
0.553053 + 0.833146i \(0.313463\pi\)
\(192\) 1.90770e6 + 1.26568e7i 0.269530 + 1.78821i
\(193\) 1.10243e7 + 5.30904e6i 1.53349 + 0.738490i 0.994590 0.103881i \(-0.0331260\pi\)
0.538900 + 0.842370i \(0.318840\pi\)
\(194\) 2.04367e6 4.24372e6i 0.279902 0.581221i
\(195\) −1.70511e7 + 2.57004e6i −2.29958 + 0.346606i
\(196\) 1.02814e6 + 2.61965e6i 0.136547 + 0.347917i
\(197\) −770238. 1.02781e7i −0.100746 1.34436i −0.786981 0.616978i \(-0.788357\pi\)
0.686235 0.727380i \(-0.259262\pi\)
\(198\) 7.27584e6 + 7.84150e6i 0.937320 + 1.01019i
\(199\) −2.24831e6 + 513162.i −0.285297 + 0.0651171i −0.362774 0.931877i \(-0.618170\pi\)
0.0774778 + 0.996994i \(0.475313\pi\)
\(200\) 111048. 736754.i 0.0138810 0.0920942i
\(201\) 1.32271e7 1.94007e7i 1.62884 2.38907i
\(202\) −2.67345e6 8.66712e6i −0.324353 1.05153i
\(203\) −24359.9 + 325060.i −0.00291197 + 0.0388575i
\(204\) 721732. 575562.i 0.0850131 0.0677956i
\(205\) −3.55403e6 + 1.15219e7i −0.412534 + 1.33740i
\(206\) −1.00699e7 3.95216e6i −1.15193 0.452098i
\(207\) −4.66693e6 + 2.04472e7i −0.526163 + 2.30527i
\(208\) 2.63511e6 + 4.56415e6i 0.292826 + 0.507189i
\(209\) 9.15020e6 + 5.28287e6i 1.00229 + 0.578670i
\(210\) 1.86622e6 + 1.73160e6i 0.201514 + 0.186978i
\(211\) −4.42397e6 3.52800e6i −0.470939 0.375561i 0.359071 0.933310i \(-0.383094\pi\)
−0.830010 + 0.557749i \(0.811665\pi\)
\(212\) 4.78673e6 3.26354e6i 0.502379 0.342516i
\(213\) −1.33823e7 + 6.44460e6i −1.38482 + 0.666894i
\(214\) 1.62032e6i 0.165333i
\(215\) −9.66944e6 + 3.70744e6i −0.972940 + 0.373042i
\(216\) −2.10069e7 −2.08449
\(217\) 57170.7 + 118716.i 0.00559492 + 0.0116180i
\(218\) 6.56159e6 + 9.62408e6i 0.633344 + 0.928945i
\(219\) −226061. + 283471.i −0.0215225 + 0.0269884i
\(220\) 2.46607e6 2.65779e6i 0.231600 0.249605i
\(221\) 1.09171e6 1.89090e6i 0.101142 0.175183i
\(222\) −2.00740e6 + 1.15897e6i −0.183474 + 0.105929i
\(223\) 2.80354e6 + 639889.i 0.252808 + 0.0577019i 0.347047 0.937848i \(-0.387184\pi\)
−0.0942385 + 0.995550i \(0.530042\pi\)
\(224\) −570875. + 1.45457e6i −0.0507922 + 0.129416i
\(225\) 1.95287e6 + 602379.i 0.171445 + 0.0528838i
\(226\) −2.58837e6 3.24572e6i −0.224234 0.281181i
\(227\) 7.86478e6 + 589384.i 0.672371 + 0.0503873i 0.406541 0.913633i \(-0.366735\pi\)
0.265830 + 0.964020i \(0.414354\pi\)
\(228\) −1.06196e7 + 3.27570e6i −0.895988 + 0.276376i
\(229\) −1.22736e6 836802.i −0.102204 0.0696813i 0.511140 0.859498i \(-0.329223\pi\)
−0.613343 + 0.789816i \(0.710176\pi\)
\(230\) −1.10860e7 1.67095e6i −0.911155 0.137335i
\(231\) 778986. + 3.41296e6i 0.0631966 + 0.276882i
\(232\) 2.01940e6 1.87373e6i 0.161718 0.150052i
\(233\) 1.18323e7 886711.i 0.935412 0.0700994i 0.401705 0.915769i \(-0.368418\pi\)
0.533707 + 0.845670i \(0.320799\pi\)
\(234\) −2.47726e7 + 9.72254e6i −1.93341 + 0.758809i
\(235\) 1.48472e6 + 9.85048e6i 0.114404 + 0.759021i
\(236\) 1.84280e6 + 887448.i 0.140198 + 0.0675160i
\(237\) 1.88267e7 3.90941e7i 1.41426 2.93675i
\(238\) −318756. + 48044.7i −0.0236443 + 0.00356381i
\(239\) −2.93431e6 7.47651e6i −0.214938 0.547652i 0.782219 0.623003i \(-0.214088\pi\)
−0.997157 + 0.0753507i \(0.975992\pi\)
\(240\) −873350. 1.16540e7i −0.0631764 0.843030i
\(241\) 8.32685e6 + 8.97421e6i 0.594880 + 0.641128i 0.956685 0.291126i \(-0.0940298\pi\)
−0.361805 + 0.932254i \(0.617839\pi\)
\(242\) 3.14313e6 717399.i 0.221777 0.0506192i
\(243\) 721874. 4.78932e6i 0.0503086 0.333776i
\(244\) −6.00080e6 + 8.80155e6i −0.413085 + 0.605884i
\(245\) −4.35063e6 1.41044e7i −0.295838 0.959084i
\(246\) −2.05541e6 + 2.74276e7i −0.138068 + 1.84239i
\(247\) −2.05509e7 + 1.63888e7i −1.36376 + 1.08757i
\(248\) 328224. 1.06408e6i 0.0215186 0.0697617i
\(249\) 4.76037e7 + 1.86831e7i 3.08349 + 1.21018i
\(250\) 2.59108e6 1.13523e7i 0.165829 0.726545i
\(251\) −2.70634e6 4.68752e6i −0.171144 0.296430i 0.767676 0.640838i \(-0.221413\pi\)
−0.938820 + 0.344408i \(0.888080\pi\)
\(252\) −2.15744e6 1.24560e6i −0.134815 0.0778355i
\(253\) −1.13011e7 1.04858e7i −0.697842 0.647503i
\(254\) −3.12496e6 2.49207e6i −0.190696 0.152075i
\(255\) −4.00043e6 + 2.72745e6i −0.241260 + 0.164489i
\(256\) 1.46039e7 7.03289e6i 0.870463 0.419193i
\(257\) 1.96387e7i 1.15695i 0.815702 + 0.578473i \(0.196351\pi\)
−0.815702 + 0.578473i \(0.803649\pi\)
\(258\) −1.96221e7 + 1.31531e7i −1.14258 + 0.765897i
\(259\) −513222. −0.0295397
\(260\) 3.91361e6 + 8.12669e6i 0.222668 + 0.462374i
\(261\) 4.25648e6 + 6.24311e6i 0.239403 + 0.351139i
\(262\) 5.45022e6 6.83436e6i 0.303047 0.380009i
\(263\) −7.40234e6 + 7.97783e6i −0.406913 + 0.438548i −0.902945 0.429756i \(-0.858599\pi\)
0.496032 + 0.868304i \(0.334790\pi\)
\(264\) 1.47924e7 2.56211e7i 0.803944 1.39247i
\(265\) −2.63149e7 + 1.51929e7i −1.41405 + 0.816402i
\(266\) 3.78345e6 + 863548.i 0.201022 + 0.0458819i
\(267\) 2.10445e7 5.36206e7i 1.10562 2.81707i
\(268\) −1.17368e7 3.62031e6i −0.609739 0.188080i
\(269\) −7.33262e6 9.19482e6i −0.376706 0.472374i 0.556950 0.830546i \(-0.311972\pi\)
−0.933656 + 0.358172i \(0.883400\pi\)
\(270\) 3.07147e7 + 2.30175e6i 1.56047 + 0.116941i
\(271\) −2.77899e7 + 8.57204e6i −1.39630 + 0.430701i −0.899407 0.437111i \(-0.856002\pi\)
−0.496892 + 0.867813i \(0.665525\pi\)
\(272\) 1.22266e6 + 833595.i 0.0607573 + 0.0414236i
\(273\) −8.61189e6 1.29803e6i −0.423263 0.0637966i
\(274\) −220049. 964097.i −0.0106971 0.0468672i
\(275\) −1.10120e6 + 1.02177e6i −0.0529504 + 0.0491308i
\(276\) 1.61700e7 1.21178e6i 0.769102 0.0576362i
\(277\) 1.24329e7 4.87956e6i 0.584970 0.229584i −0.0543534 0.998522i \(-0.517310\pi\)
0.639323 + 0.768938i \(0.279215\pi\)
\(278\) −760905. 5.04828e6i −0.0354157 0.234968i
\(279\) 2.75186e6 + 1.32523e6i 0.126711 + 0.0610207i
\(280\) 2.06687e6 4.29189e6i 0.0941539 0.195513i
\(281\) −1.57156e7 + 2.36875e6i −0.708292 + 0.106758i −0.493301 0.869858i \(-0.664210\pi\)
−0.214990 + 0.976616i \(0.568972\pi\)
\(282\) 8.30191e6 + 2.11529e7i 0.370195 + 0.943242i
\(283\) −2.42119e6 3.23086e7i −0.106824 1.42547i −0.750853 0.660469i \(-0.770357\pi\)
0.644029 0.765001i \(-0.277262\pi\)
\(284\) 5.28464e6 + 5.69549e6i 0.230707 + 0.248643i
\(285\) 5.68268e7 1.29704e7i 2.45482 0.560296i
\(286\) 2.91551e6 1.93432e7i 0.124628 0.826855i
\(287\) −3.43053e6 + 5.03166e6i −0.145116 + 0.212846i
\(288\) 1.06763e7 + 3.46117e7i 0.446933 + 1.44892i
\(289\) −1.75799e6 + 2.34587e7i −0.0728320 + 0.971876i
\(290\) −3.15793e6 + 2.51836e6i −0.129482 + 0.103258i
\(291\) 1.05320e7 3.41438e7i 0.427396 1.38558i
\(292\) 176547. + 69289.6i 0.00709107 + 0.00278304i
\(293\) −1.06305e7 + 4.65753e7i −0.422621 + 1.85162i 0.0942326 + 0.995550i \(0.469960\pi\)
−0.516854 + 0.856074i \(0.672897\pi\)
\(294\) −1.68347e7 2.91586e7i −0.662466 1.14742i
\(295\) −9.29048e6 5.36386e6i −0.361886 0.208935i
\(296\) 3.17943e6 + 2.95008e6i 0.122595 + 0.113752i
\(297\) 3.31136e7 + 2.64072e7i 1.26397 + 1.00798i
\(298\) 4.49313e6 3.06336e6i 0.169785 0.115758i
\(299\) 3.45550e7 1.66408e7i 1.29270 0.622531i
\(300\) 1.58007e6i 0.0585210i
\(301\) −5.21864e6 + 349811.i −0.191363 + 0.0128272i
\(302\) 4.69009e6 0.170279
\(303\) −2.98535e7 6.19915e7i −1.07317 2.22846i
\(304\) −1.00354e7 1.47192e7i −0.357202 0.523920i
\(305\) 3.48354e7 4.36822e7i 1.22778 1.53959i
\(306\) −5.08243e6 + 5.47756e6i −0.177381 + 0.191171i
\(307\) 1.51096e7 2.61706e7i 0.522202 0.904480i −0.477464 0.878651i \(-0.658444\pi\)
0.999666 0.0258292i \(-0.00822259\pi\)
\(308\) 1.58585e6 915594.i 0.0542764 0.0313365i
\(309\) −8.00055e7 1.82607e7i −2.71172 0.618932i
\(310\) −596497. + 1.51985e6i −0.0200227 + 0.0510171i
\(311\) −2.33699e7 7.20867e6i −0.776920 0.239648i −0.119159 0.992875i \(-0.538020\pi\)
−0.657760 + 0.753227i \(0.728496\pi\)
\(312\) 4.58896e7 + 5.75437e7i 1.51095 + 1.89467i
\(313\) −3.37184e7 2.52684e6i −1.09960 0.0824034i −0.487453 0.873149i \(-0.662074\pi\)
−0.612145 + 0.790746i \(0.709693\pi\)
\(314\) −2.61277e7 + 8.05934e6i −0.843942 + 0.260322i
\(315\) 1.07957e7 + 7.36041e6i 0.345399 + 0.235489i
\(316\) −2.24439e7 3.38287e6i −0.711273 0.107207i
\(317\) 1.09169e7 + 4.78301e7i 0.342706 + 1.50149i 0.793336 + 0.608784i \(0.208342\pi\)
−0.450630 + 0.892711i \(0.648801\pi\)
\(318\) −5.08102e7 + 4.71449e7i −1.58004 + 1.46607i
\(319\) −5.53864e6 + 415064.i −0.170621 + 0.0127862i
\(320\) −3.26891e7 + 1.28295e7i −0.997593 + 0.391527i
\(321\) 1.83198e6 + 1.21544e7i 0.0553867 + 0.367467i
\(322\) −5.10164e6 2.45682e6i −0.152807 0.0735878i
\(323\) −3.20229e6 + 6.64963e6i −0.0950285 + 0.197329i
\(324\) −1.67531e7 + 2.52513e6i −0.492562 + 0.0742418i
\(325\) −1.36536e6 3.47889e6i −0.0397739 0.101342i
\(326\) 169358. + 2.25992e6i 0.00488824 + 0.0652290i
\(327\) 6.01014e7 + 6.47739e7i 1.71886 + 1.85249i
\(328\) 5.01749e7 1.14521e7i 1.42189 0.324536i
\(329\) −749879. + 4.97512e6i −0.0210573 + 0.139706i
\(330\) −2.44357e7 + 3.58405e7i −0.679959 + 0.997316i
\(331\) −2.46094e6 7.97818e6i −0.0678605 0.219998i 0.915290 0.402795i \(-0.131961\pi\)
−0.983151 + 0.182797i \(0.941485\pi\)
\(332\) 1.99903e6 2.66752e7i 0.0546268 0.728944i
\(333\) −9.30112e6 + 7.41740e6i −0.251885 + 0.200872i
\(334\) −1.00142e7 + 3.24654e7i −0.268769 + 0.871326i
\(335\) 5.99671e7 + 2.35354e7i 1.59507 + 0.626018i
\(336\) 1.31344e6 5.75455e6i 0.0346252 0.151703i
\(337\) 1.78630e7 + 3.09396e7i 0.466729 + 0.808399i 0.999278 0.0380007i \(-0.0120989\pi\)
−0.532548 + 0.846400i \(0.678766\pi\)
\(338\) 1.59851e7 + 9.22902e6i 0.413967 + 0.239004i
\(339\) −2.30857e7 2.14204e7i −0.592576 0.549831i
\(340\) 1.98010e6 + 1.57908e6i 0.0503792 + 0.0401761i
\(341\) −1.85501e6 + 1.26472e6i −0.0467824 + 0.0318957i
\(342\) 8.10480e7 3.90306e7i 2.02611 0.975725i
\(343\) 1.51943e7i 0.376530i
\(344\) 3.43404e7 + 2.78304e7i 0.843587 + 0.683667i
\(345\) −8.50482e7 −2.07113
\(346\) −9.01137e6 1.87123e7i −0.217552 0.451751i
\(347\) −4.41198e6 6.47118e6i −0.105595 0.154880i 0.769804 0.638280i \(-0.220354\pi\)
−0.875399 + 0.483400i \(0.839402\pi\)
\(348\) 3.64244e6 4.56747e6i 0.0864279 0.108377i
\(349\) −2.19603e7 + 2.36676e7i −0.516610 + 0.556773i −0.936439 0.350830i \(-0.885900\pi\)
0.419829 + 0.907603i \(0.362090\pi\)
\(350\) −275879. + 477836.i −0.00643449 + 0.0111449i
\(351\) −9.12517e7 + 5.26842e7i −2.11018 + 1.21831i
\(352\) −2.59570e7 5.92453e6i −0.595151 0.135839i
\(353\) 6.85704e6 1.74715e7i 0.155888 0.397196i −0.831498 0.555528i \(-0.812516\pi\)
0.987386 + 0.158332i \(0.0506115\pi\)
\(354\) −2.33838e7 7.21296e6i −0.527116 0.162594i
\(355\) −2.54076e7 3.18601e7i −0.567909 0.712135i
\(356\) −3.00468e7 2.25170e6i −0.665961 0.0499069i
\(357\) −2.33674e6 + 720790.i −0.0513578 + 0.0158418i
\(358\) −1.23618e7 8.42817e6i −0.269423 0.183689i
\(359\) −4.48482e7 6.75977e6i −0.969307 0.146100i −0.354741 0.934965i \(-0.615431\pi\)
−0.614566 + 0.788865i \(0.710669\pi\)
\(360\) −2.45712e7 1.07653e8i −0.526646 2.30739i
\(361\) 3.06462e7 2.84355e7i 0.651410 0.604420i
\(362\) 3.91331e6 293262.i 0.0824932 0.00618201i
\(363\) 2.27663e7 8.93511e6i 0.475962 0.186801i
\(364\) 678984. + 4.50476e6i 0.0140785 + 0.0934045i
\(365\) −896226. 431600.i −0.0184306 0.00887569i
\(366\) 5.52980e7 1.14827e8i 1.12789 2.34208i
\(367\) 2.99323e7 4.51157e6i 0.605539 0.0912703i 0.160885 0.986973i \(-0.448565\pi\)
0.444653 + 0.895703i \(0.353327\pi\)
\(368\) 9.49648e6 + 2.41966e7i 0.190554 + 0.485525i
\(369\) 1.05492e7 + 1.40769e8i 0.209961 + 2.80173i
\(370\) −4.32549e6 4.66176e6i −0.0853945 0.0920333i
\(371\) −1.49620e7 + 3.41498e6i −0.293001 + 0.0668755i
\(372\) 351960. 2.33510e6i 0.00683698 0.0453604i
\(373\) 1.51028e7 2.21517e7i 0.291025 0.426856i −0.652685 0.757630i \(-0.726357\pi\)
0.943710 + 0.330774i \(0.107310\pi\)
\(374\) −1.61897e6 5.24856e6i −0.0309473 0.100329i
\(375\) 6.60111e6 8.80857e7i 0.125177 1.67037i
\(376\) 3.32432e7 2.65106e7i 0.625374 0.498719i
\(377\) 4.07285e6 1.32038e7i 0.0760106 0.246420i
\(378\) 1.44810e7 + 5.68339e6i 0.268117 + 0.105228i
\(379\) 7.05121e6 3.08934e7i 0.129523 0.567476i −0.867964 0.496627i \(-0.834572\pi\)
0.997487 0.0708497i \(-0.0225711\pi\)
\(380\) −1.52449e7 2.64050e7i −0.277827 0.481210i
\(381\) −2.62587e7 1.51604e7i −0.474786 0.274118i
\(382\) 1.34539e7 + 1.24834e7i 0.241356 + 0.223946i
\(383\) 6.42807e7 + 5.12621e7i 1.14415 + 0.912431i 0.997055 0.0766907i \(-0.0244354\pi\)
0.147098 + 0.989122i \(0.453007\pi\)
\(384\) −6.55478e6 + 4.46897e6i −0.115762 + 0.0789249i
\(385\) −8.65328e6 + 4.16720e6i −0.151635 + 0.0730234i
\(386\) 7.65771e7i 1.33149i
\(387\) −8.95217e7 + 8.17625e7i −1.54453 + 1.41066i
\(388\) −1.86906e7 −0.319983
\(389\) 4.69306e7 + 9.74523e7i 0.797273 + 1.65555i 0.754347 + 0.656476i \(0.227953\pi\)
0.0429254 + 0.999078i \(0.486332\pi\)
\(390\) −6.07913e7 8.91645e7i −1.02482 1.50314i
\(391\) 6.71431e6 8.41948e6i 0.112324 0.140849i
\(392\) −4.28514e7 + 4.61828e7i −0.711388 + 0.766694i
\(393\) 3.31563e7 5.74284e7i 0.546246 0.946127i
\(394\) 5.58620e7 3.22519e7i 0.913330 0.527311i
\(395\) 1.16061e8 + 2.64901e7i 1.88319 + 0.429826i
\(396\) 1.55077e7 3.95130e7i 0.249725 0.636289i
\(397\) 3.79394e7 + 1.17027e7i 0.606343 + 0.187032i 0.582699 0.812688i \(-0.301997\pi\)
0.0236447 + 0.999720i \(0.492473\pi\)
\(398\) −8.99848e6 1.12837e7i −0.142731 0.178980i
\(399\) 2.93570e7 + 2.20000e6i 0.462160 + 0.0346341i
\(400\) 2.42034e6 746575.i 0.0378178 0.0116652i
\(401\) −1.27699e7 8.70638e6i −0.198041 0.135022i 0.460240 0.887795i \(-0.347764\pi\)
−0.658280 + 0.752773i \(0.728716\pi\)
\(402\) 1.45308e8 + 2.19016e7i 2.23672 + 0.337131i
\(403\) −1.24288e6 5.44540e6i −0.0189895 0.0831984i
\(404\) −2.63834e7 + 2.44802e7i −0.400117 + 0.371254i
\(405\) 8.86127e7 6.64060e6i 1.33392 0.0999637i
\(406\) −1.89901e6 + 745305.i −0.0283758 + 0.0111367i
\(407\) −1.30333e6 8.64705e6i −0.0193318 0.128258i
\(408\) 1.86194e7 + 8.96662e6i 0.274148 + 0.132023i
\(409\) −2.41619e7 + 5.01728e7i −0.353152 + 0.733328i −0.999560 0.0296644i \(-0.990556\pi\)
0.646408 + 0.762992i \(0.276270\pi\)
\(410\) −7.46170e7 + 1.12467e7i −1.08265 + 0.163182i
\(411\) −2.74068e6 6.98313e6i −0.0394759 0.100583i
\(412\) 3.20787e6 + 4.28061e7i 0.0458696 + 0.612088i
\(413\) −3.68530e6 3.97181e6i −0.0523146 0.0563817i
\(414\) −1.27964e8 + 2.92070e7i −1.80338 + 0.411611i
\(415\) −2.09108e7 + 1.38734e8i −0.292568 + 1.94106i
\(416\) 3.73126e7 5.47275e7i 0.518293 0.760196i
\(417\) −1.14155e7 3.70081e7i −0.157429 0.510373i
\(418\) −4.94142e6 + 6.59386e7i −0.0676586 + 0.902841i
\(419\) 5.01090e7 3.99606e7i 0.681198 0.543238i −0.220616 0.975361i \(-0.570807\pi\)
0.901815 + 0.432123i \(0.142235\pi\)
\(420\) 2.97766e6 9.65334e6i 0.0401909 0.130296i
\(421\) −7.76285e7 3.04669e7i −1.04034 0.408303i −0.217190 0.976129i \(-0.569689\pi\)
−0.823148 + 0.567826i \(0.807784\pi\)
\(422\) 7.88000e6 3.45245e7i 0.104855 0.459399i
\(423\) 5.83134e7 + 1.01002e8i 0.770454 + 1.33447i
\(424\) 1.12320e8 + 6.48479e7i 1.47353 + 0.850743i
\(425\) −769228. 713739.i −0.0100205 0.00929764i
\(426\) −7.26762e7 5.79573e7i −0.940076 0.749686i
\(427\) 2.33154e7 1.58962e7i 0.299474 0.204178i
\(428\) 5.79288e6 2.78970e6i 0.0738862 0.0355817i
\(429\) 1.48394e8i 1.87951i
\(430\) −4.71606e7 4.44544e7i −0.593163 0.559125i
\(431\) 1.68532e6 0.0210499 0.0105250 0.999945i \(-0.496650\pi\)
0.0105250 + 0.999945i \(0.496650\pi\)
\(432\) −3.09847e7 6.43403e7i −0.384322 0.798053i
\(433\) −5.02492e7 7.37021e7i −0.618964 0.907854i 0.380895 0.924618i \(-0.375616\pi\)
−0.999859 + 0.0167642i \(0.994664\pi\)
\(434\) −514145. + 644717.i −0.00628950 + 0.00788679i
\(435\) −2.08411e7 + 2.24613e7i −0.253193 + 0.272877i
\(436\) 2.31105e7 4.00285e7i 0.278836 0.482959i
\(437\) −1.12275e8 + 6.48220e7i −1.34536 + 0.776744i
\(438\) −2.21220e6 504920.i −0.0263271 0.00600898i
\(439\) 5.83697e6 1.48724e7i 0.0689913 0.175787i −0.892219 0.451602i \(-0.850853\pi\)
0.961211 + 0.275815i \(0.0889478\pi\)
\(440\) 7.75609e7 + 2.39244e7i 0.910511 + 0.280855i
\(441\) −1.07742e8 1.35104e8i −1.25623 1.57526i
\(442\) 1.36263e7 + 1.02115e6i 0.157801 + 0.0118256i
\(443\) −2.68399e7 + 8.27901e6i −0.308723 + 0.0952286i −0.445246 0.895408i \(-0.646884\pi\)
0.136522 + 0.990637i \(0.456407\pi\)
\(444\) 7.59967e6 + 5.18137e6i 0.0868252 + 0.0591964i
\(445\) 1.56270e8 + 2.35539e7i 1.77335 + 0.267290i
\(446\) 4.00461e6 + 1.75454e7i 0.0451394 + 0.197769i
\(447\) 3.02405e7 2.80591e7i 0.338584 0.314160i
\(448\) −1.76865e7 + 1.32542e6i −0.196702 + 0.0147408i
\(449\) 6.27529e7 2.46287e7i 0.693258 0.272084i 0.00756157 0.999971i \(-0.497593\pi\)
0.685696 + 0.727888i \(0.259498\pi\)
\(450\) 1.90623e6 + 1.26470e7i 0.0209188 + 0.138787i
\(451\) −9.34879e7 4.50214e7i −1.01912 0.490783i
\(452\) −7.14753e6 + 1.48420e7i −0.0774000 + 0.160723i
\(453\) 3.51815e7 5.30276e6i 0.378460 0.0570436i
\(454\) 1.80326e7 + 4.59462e7i 0.192704 + 0.491001i
\(455\) −1.78560e6 2.38271e7i −0.0189561 0.252952i
\(456\) −1.69221e8 1.82377e8i −1.78468 1.92343i
\(457\) 3.56853e7 8.14494e6i 0.373887 0.0853373i −0.0314481 0.999505i \(-0.510012\pi\)
0.405335 + 0.914168i \(0.367155\pi\)
\(458\) 1.38559e6 9.19276e6i 0.0144224 0.0956863i
\(459\) −1.66662e7 + 2.44448e7i −0.172345 + 0.252784i
\(460\) 1.31130e7 + 4.25112e7i 0.134718 + 0.436746i
\(461\) −2.21418e6 + 2.95461e7i −0.0226001 + 0.301577i 0.974437 + 0.224659i \(0.0721269\pi\)
−0.997037 + 0.0769177i \(0.975492\pi\)
\(462\) −1.71289e7 + 1.36598e7i −0.173701 + 0.138522i
\(463\) 3.23955e6 1.05024e7i 0.0326394 0.105814i −0.937787 0.347210i \(-0.887129\pi\)
0.970427 + 0.241396i \(0.0776052\pi\)
\(464\) 8.71746e6 + 3.42135e6i 0.0872642 + 0.0342487i
\(465\) −2.75608e6 + 1.20752e7i −0.0274115 + 0.120098i
\(466\) 3.71290e7 + 6.43093e7i 0.366906 + 0.635500i
\(467\) −7.66863e7 4.42748e7i −0.752951 0.434717i 0.0738080 0.997272i \(-0.476485\pi\)
−0.826759 + 0.562556i \(0.809818\pi\)
\(468\) 7.74108e7 + 7.18267e7i 0.755203 + 0.700726i
\(469\) 2.54379e7 + 2.02861e7i 0.246583 + 0.196644i
\(470\) −5.15107e7 + 3.51194e7i −0.496139 + 0.338262i
\(471\) −1.86878e8 + 8.99959e7i −1.78853 + 0.861311i
\(472\) 4.57891e7i 0.435448i
\(473\) −1.91466e7 8.70381e7i −0.180929 0.822482i
\(474\) 2.71555e8 2.54990
\(475\) 5.48118e6 + 1.13818e7i 0.0511438 + 0.106201i
\(476\) 720570. + 1.05688e6i 0.00668121 + 0.00979954i
\(477\) −2.21801e8 + 2.78130e8i −2.04366 + 2.56267i
\(478\) 3.41888e7 3.68467e7i 0.313040 0.337377i
\(479\) −2.73777e7 + 4.74195e7i −0.249109 + 0.431470i −0.963279 0.268503i \(-0.913471\pi\)
0.714170 + 0.699973i \(0.246805\pi\)
\(480\) −1.27202e8 + 7.34402e7i −1.15019 + 0.664064i
\(481\) 2.12098e7 + 4.84099e6i 0.190590 + 0.0435010i
\(482\) −2.79909e7 + 7.13195e7i −0.249963 + 0.636894i
\(483\) −4.10464e7 1.26611e7i −0.364279 0.112365i
\(484\) −7.97636e6 1.00020e7i −0.0703507 0.0882170i
\(485\) 9.77561e7 + 7.32581e6i 0.856878 + 0.0642141i
\(486\) 2.89649e7 8.93449e6i 0.252327 0.0778325i
\(487\) −4.07324e7 2.77709e7i −0.352658 0.240438i 0.374014 0.927423i \(-0.377981\pi\)
−0.726671 + 0.686985i \(0.758934\pi\)
\(488\) −2.35813e8 3.55431e7i −2.02912 0.305841i
\(489\) 3.82553e6 + 1.67608e7i 0.0327164 + 0.143340i
\(490\) 6.77146e7 6.28299e7i 0.575564 0.534046i
\(491\) 2.26074e8 1.69419e7i 1.90988 0.143126i 0.933416 0.358795i \(-0.116812\pi\)
0.976466 + 0.215670i \(0.0691934\pi\)
\(492\) 1.01597e8 3.98738e7i 0.853070 0.334805i
\(493\) −578252. 3.83645e6i −0.00482588 0.0320176i
\(494\) −1.48212e8 7.13751e7i −1.22943 0.592060i
\(495\) −9.65963e7 + 2.00584e8i −0.796425 + 1.65379i
\(496\) 3.74319e6 564196.i 0.0306759 0.00462365i
\(497\) −7.51933e6 1.91589e7i −0.0612505 0.156064i
\(498\) 2.39168e7 + 3.19147e8i 0.193649 + 2.58406i
\(499\) −1.28046e8 1.38001e8i −1.03054 1.11066i −0.993783 0.111334i \(-0.964488\pi\)
−0.0367574 0.999324i \(-0.511703\pi\)
\(500\) −4.50472e7 + 1.02817e7i −0.360378 + 0.0822538i
\(501\) −3.84129e7 + 2.54853e8i −0.305467 + 2.02664i
\(502\) 1.90820e7 2.79881e7i 0.150839 0.221240i
\(503\) 2.15357e7 + 6.98170e7i 0.169221 + 0.548602i 0.999968 0.00804923i \(-0.00256218\pi\)
−0.830746 + 0.556651i \(0.812086\pi\)
\(504\) 4.16771e6 5.56142e7i 0.0325541 0.434404i
\(505\) 1.47587e8 1.17696e8i 1.14597 0.913880i
\(506\) 2.84382e7 9.21943e7i 0.219508 0.711627i
\(507\) 1.30343e8 + 5.11558e7i 1.00015 + 0.392529i
\(508\) −3.52929e6 + 1.54628e7i −0.0269213 + 0.117950i
\(509\) 6.17285e6 + 1.06917e7i 0.0468093 + 0.0810761i 0.888481 0.458914i \(-0.151761\pi\)
−0.841671 + 0.539990i \(0.818428\pi\)
\(510\) −2.62414e7 1.51505e7i −0.197823 0.114213i
\(511\) −368289. 341722.i −0.00276011 0.00256100i
\(512\) 8.76717e7 + 6.99159e7i 0.653205 + 0.520914i
\(513\) 2.94284e8 2.00640e8i 2.17979 1.48616i
\(514\) −1.10733e8 + 5.33263e7i −0.815434 + 0.392692i
\(515\) 2.25143e8i 1.64831i
\(516\) 8.08079e7 + 4.75062e7i 0.588173 + 0.345781i
\(517\) −8.57278e7 −0.620369
\(518\) −1.39359e6 2.89382e6i −0.0100264 0.0208201i
\(519\) −8.87532e7 1.30177e8i −0.634866 0.931177i
\(520\) −1.25900e8 + 1.57874e8i −0.895397 + 1.12279i
\(521\) −4.24492e7 + 4.57494e7i −0.300163 + 0.323498i −0.865065 0.501659i \(-0.832723\pi\)
0.564903 + 0.825157i \(0.308914\pi\)
\(522\) −2.36441e7 + 4.09527e7i −0.166230 + 0.287919i
\(523\) 1.55218e8 8.96149e7i 1.08502 0.626434i 0.152771 0.988262i \(-0.451180\pi\)
0.932245 + 0.361828i \(0.117847\pi\)
\(524\) −3.38176e7 7.71864e6i −0.235044 0.0536472i
\(525\) −1.52918e6 + 3.89628e6i −0.0105677 + 0.0269260i
\(526\) −6.50833e7 2.00756e7i −0.447211 0.137946i
\(527\) −977817. 1.22614e6i −0.00668076 0.00837741i
\(528\) 1.00291e8 + 7.51579e6i 0.681336 + 0.0510591i
\(529\) 3.93001e7 1.21225e7i 0.265477 0.0818888i
\(530\) −1.57121e8 1.07123e8i −1.05537 0.719541i
\(531\) −1.24192e8 1.87189e7i −0.829485 0.125025i
\(532\) −3.42667e6 1.50132e7i −0.0227581 0.0997100i
\(533\) 1.89233e8 1.75583e8i 1.24973 1.15958i
\(534\) 3.59485e8 2.69397e7i 2.36079 0.176917i
\(535\) −3.13916e7 + 1.23203e7i −0.204999 + 0.0804563i
\(536\) −4.09814e7 2.71894e8i −0.266129 1.76565i
\(537\) −1.02258e8 4.92450e7i −0.660353 0.318009i
\(538\) 3.19345e7 6.63126e7i 0.205075 0.425843i
\(539\) 1.25603e8 1.89316e7i 0.802109 0.120898i
\(540\) −4.46526e7 1.13773e8i −0.283573 0.722533i
\(541\) 1.13829e7 + 1.51894e8i 0.0718888 + 0.959290i 0.910219 + 0.414127i \(0.135913\pi\)
−0.838330 + 0.545163i \(0.816468\pi\)
\(542\) −1.23794e8 1.33418e8i −0.777500 0.837945i
\(543\) 2.90231e7 6.62433e6i 0.181278 0.0413754i
\(544\) 2.77192e6 1.83905e7i 0.0172180 0.114234i
\(545\) −1.36563e8 + 2.00301e8i −0.843612 + 1.23735i
\(546\) −1.60655e7 5.20830e7i −0.0986997 0.319977i
\(547\) 429137. 5.72643e6i 0.00262201 0.0349882i −0.995739 0.0922127i \(-0.970606\pi\)
0.998361 + 0.0572245i \(0.0182251\pi\)
\(548\) −3.06794e6 + 2.44660e6i −0.0186425 + 0.0148669i
\(549\) 1.92804e8 6.25055e8i 1.16520 3.77747i
\(550\) −8.75144e6 3.43469e6i −0.0526007 0.0206442i
\(551\) −1.03934e7 + 4.55365e7i −0.0621303 + 0.272211i
\(552\) 1.81506e8 + 3.14377e8i 1.07913 + 1.86910i
\(553\) 5.20703e7 + 3.00628e7i 0.307904 + 0.177768i
\(554\) 6.12736e7 + 5.68536e7i 0.360366 + 0.334371i
\(555\) −3.77173e7 3.00785e7i −0.220628 0.175945i
\(556\) −1.67383e7 + 1.14120e7i −0.0973840 + 0.0663953i
\(557\) −1.78101e7 + 8.57689e6i −0.103062 + 0.0496323i −0.484705 0.874678i \(-0.661073\pi\)
0.381642 + 0.924310i \(0.375359\pi\)
\(558\) 1.91149e7i 0.110020i
\(559\) 2.18968e8 + 3.47685e7i 1.25356 + 0.199045i
\(560\) 1.61939e7 0.0922118
\(561\) −1.80784e7 3.75402e7i −0.102393 0.212622i
\(562\) −5.60300e7 8.21809e7i −0.315654 0.462980i
\(563\) −7.23517e7 + 9.07262e7i −0.405437 + 0.508402i −0.942071 0.335413i \(-0.891124\pi\)
0.536634 + 0.843815i \(0.319696\pi\)
\(564\) 6.13316e7 6.60997e7i 0.341859 0.368436i
\(565\) 4.32007e7 7.48258e7i 0.239522 0.414864i
\(566\) 1.75598e8 1.01382e8i 0.968437 0.559127i
\(567\) 4.37553e7 + 9.98686e6i 0.240039 + 0.0547873i
\(568\) −6.35459e7 + 1.61912e8i −0.346771 + 0.883557i
\(569\) 2.37167e8 + 7.31565e7i 1.28741 + 0.397115i 0.861550 0.507673i \(-0.169494\pi\)
0.425864 + 0.904787i \(0.359970\pi\)
\(570\) 2.27440e8 + 2.85201e8i 1.22812 + 1.54002i
\(571\) −3.50654e8 2.62779e7i −1.88352 0.141151i −0.917191 0.398447i \(-0.869549\pi\)
−0.966332 + 0.257297i \(0.917168\pi\)
\(572\) −7.41744e7 + 2.28798e7i −0.396338 + 0.122254i
\(573\) 1.15035e8 + 7.84297e7i 0.611459 + 0.416886i
\(574\) −3.76863e7 5.68030e6i −0.199273 0.0300356i
\(575\) −4.10162e6 1.79704e7i −0.0215751 0.0945265i
\(576\) −3.01377e8 + 2.79637e8i −1.57704 + 1.46328i
\(577\) −2.61130e8 + 1.95690e7i −1.35935 + 0.101869i −0.734356 0.678764i \(-0.762516\pi\)
−0.624990 + 0.780633i \(0.714897\pi\)
\(578\) −1.37046e8 + 5.37867e7i −0.709715 + 0.278543i
\(579\) 8.65805e7 + 5.74424e8i 0.446051 + 2.95935i
\(580\) 1.44406e7 + 6.95421e6i 0.0740117 + 0.0356421i
\(581\) −3.07455e7 + 6.38437e7i −0.156767 + 0.325529i
\(582\) 2.21119e8 3.33284e7i 1.12165 0.169062i
\(583\) −9.55336e7 2.43416e8i −0.482115 1.22841i
\(584\) 317291. + 4.23395e6i 0.00159301 + 0.0212573i
\(585\) −3.76724e8 4.06012e8i −1.88173 2.02802i
\(586\) −2.91482e8 + 6.65289e7i −1.44850 + 0.330611i
\(587\) 4.60911e7 3.05795e8i 0.227878 1.51187i −0.523514 0.852017i \(-0.675379\pi\)
0.751392 0.659856i \(-0.229383\pi\)
\(588\) −7.52620e7 + 1.10389e8i −0.370206 + 0.542993i
\(589\) 5.56506e6 + 1.80415e7i 0.0272348 + 0.0882930i
\(590\) 5.01717e6 6.69495e7i 0.0244289 0.325980i
\(591\) 3.82570e8 3.05089e8i 1.85331 1.47796i
\(592\) −4.34598e6 + 1.40893e7i −0.0209470 + 0.0679086i
\(593\) −2.35769e8 9.25325e7i −1.13064 0.443742i −0.275064 0.961426i \(-0.588699\pi\)
−0.855572 + 0.517684i \(0.826794\pi\)
\(594\) −5.89821e7 + 2.58418e8i −0.281424 + 1.23300i
\(595\) −3.35451e6 5.81018e6i −0.0159249 0.0275828i
\(596\) −1.86878e7 1.07894e7i −0.0882714 0.0509635i
\(597\) −8.02575e7 7.44681e7i −0.377192 0.349983i
\(598\) 1.87660e8 + 1.49654e8i 0.877541 + 0.699815i
\(599\) −1.66362e8 + 1.13424e8i −0.774059 + 0.527745i −0.884725 0.466113i \(-0.845654\pi\)
0.110666 + 0.993858i \(0.464702\pi\)
\(600\) 3.18697e7 1.53476e7i 0.147545 0.0710539i
\(601\) 1.74140e8i 0.802187i 0.916037 + 0.401094i \(0.131370\pi\)
−0.916037 + 0.401094i \(0.868630\pi\)
\(602\) −1.61430e7 2.84756e7i −0.0739936 0.130522i
\(603\) 7.54198e8 3.43980
\(604\) −8.07494e6 1.67678e7i −0.0366462 0.0760966i
\(605\) 3.77980e7 + 5.54394e7i 0.170688 + 0.250353i
\(606\) 2.68478e8 3.36660e8i 1.20640 1.51277i
\(607\) −2.29965e8 + 2.47843e8i −1.02824 + 1.10818i −0.0341747 + 0.999416i \(0.510880\pi\)
−0.994067 + 0.108766i \(0.965310\pi\)
\(608\) −1.11949e8 + 1.93902e8i −0.498093 + 0.862722i
\(609\) −1.34022e7 + 7.73779e6i −0.0593370 + 0.0342582i
\(610\) 3.40895e8 + 7.78070e7i 1.50186 + 0.342791i
\(611\) 7.79180e7 1.98532e8i 0.341597 0.870375i
\(612\) 2.83336e7 + 8.73975e6i 0.123608 + 0.0381281i
\(613\) −3.22065e7 4.03857e7i −0.139818 0.175326i 0.706992 0.707221i \(-0.250051\pi\)
−0.846810 + 0.531895i \(0.821480\pi\)
\(614\) 1.88592e8 + 1.41330e7i 0.814739 + 0.0610563i
\(615\) −5.47004e8 + 1.68728e8i −2.35161 + 0.725376i
\(616\) 3.38712e7 + 2.30930e7i 0.144907 + 0.0987958i
\(617\) 2.34959e8 + 3.54144e7i 1.00031 + 0.150773i 0.628728 0.777625i \(-0.283576\pi\)
0.371586 + 0.928398i \(0.378814\pi\)
\(618\) −1.14281e8 5.00699e8i −0.484183 2.12134i
\(619\) −2.61165e8 + 2.42326e8i −1.10114 + 1.02171i −0.101502 + 0.994835i \(0.532365\pi\)
−0.999639 + 0.0268742i \(0.991445\pi\)
\(620\) 6.46069e6 484162.i 0.0271084 0.00203149i
\(621\) −4.83767e8 + 1.89865e8i −2.02005 + 0.792810i
\(622\) −2.28118e7 1.51346e8i −0.0947956 0.628927i
\(623\) 7.19132e7 + 3.46316e7i 0.297402 + 0.143221i
\(624\) −1.08560e8 + 2.25427e8i −0.446803 + 0.927796i
\(625\) 2.60344e8 3.92406e7i 1.06637 0.160729i
\(626\) −7.73103e7 1.96983e8i −0.315148 0.802984i
\(627\) 3.74855e7 + 5.00209e8i 0.152076 + 2.02931i
\(628\) 7.37976e7 + 7.95349e7i 0.297964 + 0.321128i
\(629\) 5.95534e6 1.35927e6i 0.0239307 0.00546202i
\(630\) −1.21874e7 + 8.08584e7i −0.0487406 + 0.323373i
\(631\) −1.31191e8 + 1.92422e8i −0.522175 + 0.765890i −0.993224 0.116217i \(-0.962923\pi\)
0.471049 + 0.882107i \(0.343876\pi\)
\(632\) −1.49772e8 4.85548e8i −0.593305 1.92345i
\(633\) 2.00753e7 2.67886e8i 0.0791500 1.05618i
\(634\) −2.40048e8 + 1.91432e8i −0.941956 + 0.751185i
\(635\) 2.45197e7 7.94909e7i 0.0957622 0.310453i
\(636\) 2.56031e8 + 1.00485e8i 0.995223 + 0.390596i
\(637\) −7.03179e7 + 3.08083e8i −0.272049 + 1.19193i
\(638\) −1.73798e7 3.01028e7i −0.0669243 0.115916i
\(639\) −4.13169e8 2.38543e8i −1.58353 0.914249i
\(640\) −1.59551e7 1.48042e7i −0.0608638 0.0564734i
\(641\) −1.57679e8 1.25745e8i −0.598689 0.477438i 0.276635 0.960975i \(-0.410781\pi\)
−0.875324 + 0.483537i \(0.839352\pi\)
\(642\) −6.35584e7 + 4.33334e7i −0.240197 + 0.163764i
\(643\) 3.88912e8 1.87290e8i 1.46291 0.704502i 0.478131 0.878289i \(-0.341314\pi\)
0.984783 + 0.173786i \(0.0556002\pi\)
\(644\) 2.24691e7i 0.0841255i
\(645\) −4.04025e8 2.80142e8i −1.50567 1.04400i
\(646\) −4.61896e7 −0.171335
\(647\) 1.55165e8 + 3.22204e8i 0.572904 + 1.18965i 0.963157 + 0.268940i \(0.0866732\pi\)
−0.390253 + 0.920708i \(0.627612\pi\)
\(648\) −2.13659e8 3.13381e8i −0.785230 1.15172i
\(649\) 5.75603e7 7.21784e7i 0.210566 0.264042i
\(650\) 1.59083e7 1.71451e7i 0.0579275 0.0624310i
\(651\) −3.12779e6 + 5.41749e6i −0.0113369 + 0.0196361i
\(652\) 7.78800e6 4.49640e6i 0.0280985 0.0162227i
\(653\) −3.20149e8 7.30720e7i −1.14978 0.262429i −0.395170 0.918608i \(-0.629314\pi\)
−0.754605 + 0.656179i \(0.772172\pi\)
\(654\) −2.02032e8 + 5.14769e8i −0.722248 + 1.84026i
\(655\) 1.73849e8 + 5.36253e7i 0.618654 + 0.190830i
\(656\) 1.09083e8 + 1.36785e8i 0.386406 + 0.484538i
\(657\) −1.16133e7 870294.i −0.0409504 0.00306881i
\(658\) −3.00886e7 + 9.28110e6i −0.105615 + 0.0325778i
\(659\) −1.42222e8 9.69654e7i −0.496948 0.338813i 0.288770 0.957399i \(-0.406754\pi\)
−0.785718 + 0.618585i \(0.787706\pi\)
\(660\) 1.70207e8 + 2.56545e7i 0.592031 + 0.0892343i
\(661\) −1.01826e8 4.46127e8i −0.352576 1.54474i −0.771210 0.636581i \(-0.780348\pi\)
0.418635 0.908155i \(-0.362509\pi\)
\(662\) 3.83028e7 3.55398e7i 0.132025 0.122501i
\(663\) 1.03369e8 7.74640e6i 0.354689 0.0265803i
\(664\) 5.57452e8 2.18784e8i 1.90416 0.747328i
\(665\) 1.20378e7 + 7.98658e7i 0.0409339 + 0.271579i
\(666\) −6.70792e7 3.23037e7i −0.227073 0.109353i
\(667\) 2.95696e7 6.14019e7i 0.0996478 0.206921i
\(668\) 1.33310e8 2.00933e7i 0.447233 0.0674096i
\(669\) 4.98769e7 + 1.27084e8i 0.166579 + 0.424437i
\(670\) 3.01283e7 + 4.02034e8i 0.100173 + 1.33671i
\(671\) 3.27037e8 + 3.52462e8i 1.08250 + 1.16666i
\(672\) −7.23240e7 + 1.65075e7i −0.238328 + 0.0543968i
\(673\) −5.02064e7 + 3.33098e8i −0.164708 + 1.09276i 0.741814 + 0.670606i \(0.233966\pi\)
−0.906522 + 0.422159i \(0.861272\pi\)
\(674\) −1.25949e8 + 1.84734e8i −0.411355 + 0.603347i
\(675\) 1.49264e7 + 4.83902e7i 0.0485338 + 0.157343i
\(676\) 5.47351e6 7.30390e7i 0.0177185 0.236436i
\(677\) 2.29593e8 1.83094e8i 0.739934 0.590078i −0.179298 0.983795i \(-0.557382\pi\)
0.919232 + 0.393717i \(0.128811\pi\)
\(678\) 5.80934e7 1.88334e8i 0.186396 0.604282i
\(679\) 4.60890e7 + 1.80886e7i 0.147227 + 0.0577824i
\(680\) −1.26165e7 + 5.52764e7i −0.0401247 + 0.175798i
\(681\) 1.87215e8 + 3.24266e8i 0.592788 + 1.02674i
\(682\) −1.21682e7 7.02533e6i −0.0383596 0.0221469i
\(683\) −4.68216e7 4.34441e7i −0.146955 0.136354i 0.603270 0.797537i \(-0.293864\pi\)
−0.750225 + 0.661183i \(0.770055\pi\)
\(684\) −2.79081e8 2.22560e8i −0.872092 0.695470i
\(685\) 1.70050e7 1.15938e7i 0.0529060 0.0360707i
\(686\) 8.56738e7 4.12583e7i 0.265384 0.127802i
\(687\) 7.05237e7i 0.217503i
\(688\) −3.45883e7 + 1.46228e8i −0.106210 + 0.449018i
\(689\) 6.50542e8 1.98892
\(690\) −2.30938e8 4.79547e8i −0.702987 1.45977i
\(691\) −2.13452e8 3.13077e8i −0.646944 0.948893i −0.999912 0.0132575i \(-0.995780\pi\)
0.352968 0.935635i \(-0.385173\pi\)
\(692\) −5.13845e7 + 6.44341e7i −0.155065 + 0.194445i
\(693\) −7.64808e7 + 8.24267e7i −0.229802 + 0.247667i
\(694\) 2.45078e7 4.24488e7i 0.0733206 0.126995i
\(695\) 9.20184e7 5.31269e7i 0.274107 0.158256i
\(696\) 1.27505e8 + 2.91022e7i 0.378181 + 0.0863174i
\(697\) 2.64809e7 6.74722e7i 0.0782049 0.199263i
\(698\) −1.93081e8 5.95577e7i −0.567772 0.175134i
\(699\) 3.51224e8 + 4.40420e8i 1.02838 + 1.28954i
\(700\) 2.18332e6 + 163617.i 0.00636536 + 0.000477018i
\(701\) −4.50162e8 + 1.38857e8i −1.30682 + 0.403100i −0.868486 0.495713i \(-0.834907\pi\)
−0.438332 + 0.898813i \(0.644431\pi\)
\(702\) −5.44844e8 3.71469e8i −1.57493 1.07377i
\(703\) −7.27170e7 1.09603e7i −0.209300 0.0315470i
\(704\) −6.72466e7 2.94626e8i −0.192731 0.844411i
\(705\) −3.46687e8 + 3.21679e8i −0.989396 + 0.918026i
\(706\) 1.17133e8 8.77789e6i 0.332862 0.0249446i
\(707\) 8.87506e7 3.48320e7i 0.251138 0.0985645i
\(708\) 1.44726e7 + 9.60194e7i 0.0407800 + 0.270557i
\(709\) 9.09786e7 + 4.38130e7i 0.255271 + 0.122932i 0.557143 0.830416i \(-0.311897\pi\)
−0.301873 + 0.953348i \(0.597612\pi\)
\(710\) 1.10653e8 2.29774e8i 0.309164 0.641986i
\(711\) 1.37816e9 2.07723e8i 3.83433 0.577932i
\(712\) −2.46437e8 6.27911e8i −0.682757 1.73964i
\(713\) −2.05868e6 2.74711e7i −0.00567962 0.0757893i
\(714\) −1.04093e7 1.12186e7i −0.0285975 0.0308208i
\(715\) 3.96918e8 9.05939e7i 1.08588 0.247846i
\(716\) −8.84856e6 + 5.87063e7i −0.0241065 + 0.159936i
\(717\) 2.14798e8 3.15051e8i 0.582738 0.854719i
\(718\) −8.36644e7 2.71233e8i −0.226031 0.732773i
\(719\) 4.47344e7 5.96939e8i 0.120352 1.60599i −0.531104 0.847306i \(-0.678223\pi\)
0.651457 0.758686i \(-0.274158\pi\)
\(720\) 2.93481e8 2.34044e8i 0.786290 0.627046i
\(721\) 3.35171e7 1.08660e8i 0.0894255 0.289910i
\(722\) 2.43550e8 + 9.55864e7i 0.647108 + 0.253971i
\(723\) −1.29330e8 + 5.66632e8i −0.342204 + 1.49929i
\(724\) −7.78601e6 1.34858e7i −0.0205163 0.0355353i
\(725\) −5.75110e6 3.32040e6i −0.0150916 0.00871317i
\(726\) 1.12200e8 + 1.04106e8i 0.293213 + 0.272061i
\(727\) 2.60764e8 + 2.07952e8i 0.678647 + 0.541203i 0.901030 0.433756i \(-0.142812\pi\)
−0.222383 + 0.974959i \(0.571384\pi\)
\(728\) −8.42652e7 + 5.74510e7i −0.218401 + 0.148903i
\(729\) −2.40924e8 + 1.16023e8i −0.621866 + 0.299475i
\(730\) 6.22535e6i 0.0160028i
\(731\) 5.96297e7 1.78807e7i 0.152655 0.0457754i
\(732\) −5.05733e8 −1.28940
\(733\) 1.13884e8 + 2.36482e8i 0.289168 + 0.600464i 0.994058 0.108853i \(-0.0347178\pi\)
−0.704890 + 0.709317i \(0.749004\pi\)
\(734\) 1.06716e8 + 1.56524e8i 0.269862 + 0.395815i
\(735\) 4.36906e8 5.47863e8i 1.10034 1.37978i
\(736\) 2.22205e8 2.39480e8i 0.557341 0.600671i
\(737\) −2.77191e8 + 4.80109e8i −0.692431 + 1.19933i
\(738\) −7.65084e8 + 4.41721e8i −1.90344 + 1.09895i
\(739\) −4.10673e8 9.37335e7i −1.01757 0.232253i −0.318968 0.947766i \(-0.603336\pi\)
−0.698600 + 0.715513i \(0.746193\pi\)
\(740\) −9.21933e6 + 2.34905e7i −0.0227512 + 0.0579691i
\(741\) −1.19247e9 3.67829e8i −2.93085 0.904048i
\(742\) −5.98830e7 7.50909e7i −0.146586 0.183813i
\(743\) 9.10547e7 + 6.82361e6i 0.221991 + 0.0166359i 0.185261 0.982689i \(-0.440687\pi\)
0.0367299 + 0.999325i \(0.488306\pi\)
\(744\) 5.05173e7 1.55825e7i 0.122665 0.0378372i
\(745\) 9.35130e7 + 6.37561e7i 0.226153 + 0.154189i
\(746\) 1.65913e8 + 2.50074e7i 0.399635 + 0.0602353i
\(747\) 3.65507e8 + 1.60139e9i 0.876867 + 3.84181i
\(748\) −1.59770e7 + 1.48245e7i −0.0381761 + 0.0354222i
\(749\) −1.69845e7 + 1.27281e6i −0.0404210 + 0.00302914i
\(750\) 5.14598e8 2.01965e8i 1.21979 0.478732i
\(751\) 8.40859e6 + 5.57874e7i 0.0198520 + 0.131709i 0.996561 0.0828568i \(-0.0264044\pi\)
−0.976709 + 0.214566i \(0.931166\pi\)
\(752\) 1.30230e8 + 6.27155e7i 0.306237 + 0.147476i
\(753\) 1.11494e8 2.31520e8i 0.261137 0.542256i
\(754\) 8.55096e7 1.28885e7i 0.199481 0.0300669i
\(755\) 3.56617e7 + 9.08646e7i 0.0828632 + 0.211132i
\(756\) −4.61307e6 6.15571e7i −0.0106764 0.142467i
\(757\) −1.86026e8 2.00489e8i −0.428831 0.462170i 0.481260 0.876578i \(-0.340179\pi\)
−0.910091 + 0.414408i \(0.863989\pi\)
\(758\) 1.93340e8 4.41286e7i 0.443930 0.101324i
\(759\) 1.09084e8 7.23725e8i 0.249480 1.65519i
\(760\) 3.84505e8 5.63966e8i 0.875915 1.28473i
\(761\) 8.94513e7 + 2.89994e8i 0.202970 + 0.658014i 0.998633 + 0.0522737i \(0.0166468\pi\)
−0.795662 + 0.605740i \(0.792877\pi\)
\(762\) 1.41806e7 1.89227e8i 0.0320501 0.427678i
\(763\) −9.57274e7 + 7.63400e7i −0.215508 + 0.171862i