Properties

Label 37.8.f.a.7.12
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 37 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 37.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.5582459429\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.12
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.323158 + 0.117620i) q^{2} +(-38.0853 - 13.8619i) q^{3} +(-97.9631 + 82.2008i) q^{4} +(13.0043 + 73.7511i) q^{5} +13.9380 q^{6} +(126.462 + 717.201i) q^{7} +(43.9985 - 76.2077i) q^{8} +(-417.005 - 349.909i) q^{9} +O(q^{10})\) \(q+(-0.323158 + 0.117620i) q^{2} +(-38.0853 - 13.8619i) q^{3} +(-97.9631 + 82.2008i) q^{4} +(13.0043 + 73.7511i) q^{5} +13.9380 q^{6} +(126.462 + 717.201i) q^{7} +(43.9985 - 76.2077i) q^{8} +(-417.005 - 349.909i) q^{9} +(-12.8770 - 22.3037i) q^{10} +(3587.91 - 6214.44i) q^{11} +(4870.41 - 1772.68i) q^{12} +(-1112.82 + 933.770i) q^{13} +(-125.224 - 216.895i) q^{14} +(527.058 - 2989.09i) q^{15} +(2837.17 - 16090.4i) q^{16} +(-19294.0 - 16189.6i) q^{17} +(175.915 + 64.0277i) q^{18} +(51336.6 + 18685.0i) q^{19} +(-7336.34 - 6155.92i) q^{20} +(5125.44 - 29067.8i) q^{21} +(-428.519 + 2430.25i) q^{22} +(-4514.46 - 7819.27i) q^{23} +(-2732.08 + 2292.49i) q^{24} +(68143.4 - 24802.2i) q^{25} +(249.788 - 432.645i) q^{26} +(55350.3 + 95869.6i) q^{27} +(-71343.1 - 59864.0i) q^{28} +(105296. - 182379. i) q^{29} +(181.254 + 1027.94i) q^{30} -191400. q^{31} +(2931.60 + 16625.9i) q^{32} +(-222790. + 186943. i) q^{33} +(8139.22 + 2962.44i) q^{34} +(-51249.8 + 18653.4i) q^{35} +69613.9 q^{36} +(253930. + 174504. i) q^{37} -18787.6 q^{38} +(55326.0 - 20137.0i) q^{39} +(6192.57 + 2253.91i) q^{40} +(-463992. + 389336. i) q^{41} +(1762.62 + 9996.34i) q^{42} -105795. q^{43} +(159349. + 903715. i) q^{44} +(20383.3 - 35304.9i) q^{45} +(2378.58 + 1995.87i) q^{46} +(-597654. - 1.03517e6i) q^{47} +(-331097. + 573478. i) q^{48} +(275492. - 100271. i) q^{49} +(-19103.8 + 16030.0i) q^{50} +(510398. + 884036. i) q^{51} +(32259.0 - 182950. i) q^{52} +(-24906.5 + 141252. i) q^{53} +(-29163.1 - 24470.7i) q^{54} +(504980. + 183798. i) q^{55} +(60220.4 + 21918.4i) q^{56} +(-1.69616e6 - 1.42325e6i) q^{57} +(-12576.0 + 71322.0i) q^{58} +(469179. - 2.66085e6i) q^{59} +(194074. + 336145. i) q^{60} +(1.16505e6 - 977594. i) q^{61} +(61852.6 - 22512.5i) q^{62} +(198220. - 343327. i) q^{63} +(1.04277e6 + 1.80613e6i) q^{64} +(-83338.1 - 69928.9i) q^{65} +(50008.2 - 86616.8i) q^{66} +(-468231. - 2.65547e6i) q^{67} +3.22090e6 q^{68} +(63544.3 + 360378. i) q^{69} +(14367.8 - 12056.0i) q^{70} +(228815. + 83282.0i) q^{71} +(-45013.4 + 16383.5i) q^{72} +1.72801e6 q^{73} +(-102584. - 26525.2i) q^{74} -2.93906e6 q^{75} +(-6.56502e6 + 2.38947e6i) q^{76} +(4.91074e6 + 1.78736e6i) q^{77} +(-15510.5 + 13014.9i) q^{78} +(-468529. - 2.65716e6i) q^{79} +1.22358e6 q^{80} +(-572365. - 3.24605e6i) q^{81} +(104149. - 180392. i) q^{82} +(-1.99116e6 - 1.67078e6i) q^{83} +(1.88729e6 + 3.26889e6i) q^{84} +(943094. - 1.63349e6i) q^{85} +(34188.5 - 12443.6i) q^{86} +(-6.53835e6 + 5.48633e6i) q^{87} +(-315725. - 546853. i) q^{88} +(574922. - 3.26054e6i) q^{89} +(-2434.46 + 13806.5i) q^{90} +(-810431. - 680032. i) q^{91} +(1.08500e6 + 394908. i) q^{92} +(7.28954e6 + 2.65317e6i) q^{93} +(314893. + 264227. i) q^{94} +(-710442. + 4.02912e6i) q^{95} +(118816. - 673841. i) q^{96} +(868282. + 1.50391e6i) q^{97} +(-77233.7 + 64806.7i) q^{98} +(-3.67066e6 + 1.33601e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} + O(q^{10}) \) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} - 6003 q^{10} - 15975 q^{11} - 4635 q^{12} - 15981 q^{13} - 13491 q^{14} + 38493 q^{15} - 74151 q^{16} + 37698 q^{17} - 20100 q^{18} - 66102 q^{19} - 176184 q^{20} - 142530 q^{21} + 132783 q^{22} + 140631 q^{23} - 38793 q^{24} - 544092 q^{25} - 423147 q^{26} + 130557 q^{27} + 603813 q^{28} + 22890 q^{29} - 319860 q^{30} - 1288044 q^{31} - 217866 q^{32} + 112344 q^{33} + 812019 q^{34} + 1479252 q^{35} + 8118132 q^{36} - 1664550 q^{37} + 305010 q^{38} - 1580340 q^{39} - 4681425 q^{40} - 2956593 q^{41} - 3553029 q^{42} - 1023528 q^{43} + 6409524 q^{44} + 1803336 q^{45} + 10219434 q^{46} - 2607204 q^{47} - 2984043 q^{48} - 6819531 q^{49} + 5724015 q^{50} - 1675833 q^{51} + 11768451 q^{52} + 2280177 q^{53} - 7803897 q^{54} - 3542196 q^{55} + 12168843 q^{56} - 85203 q^{57} - 12425487 q^{58} - 7014600 q^{59} + 2356788 q^{60} + 10840332 q^{61} + 6334368 q^{62} - 3331359 q^{63} - 26175624 q^{64} - 573195 q^{65} - 36720249 q^{66} + 6642918 q^{67} - 25277742 q^{68} - 1236438 q^{69} - 27401982 q^{70} + 20311041 q^{71} + 40093005 q^{72} + 38643780 q^{73} - 9531 q^{74} + 16639446 q^{75} + 5787405 q^{76} - 316971 q^{77} + 9363381 q^{78} + 17712534 q^{79} - 74410128 q^{80} - 10355109 q^{81} - 16702371 q^{82} - 31021176 q^{83} - 61626192 q^{84} + 23576445 q^{85} + 18579072 q^{86} + 104996631 q^{87} + 57279702 q^{88} - 13471320 q^{89} + 56306910 q^{90} - 2335911 q^{91} - 178133436 q^{92} + 24366258 q^{93} + 77086020 q^{94} - 26254407 q^{95} + 152523921 q^{96} + 14408415 q^{97} - 521205 q^{98} + 58375668 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.323158 + 0.117620i −0.0285634 + 0.0103962i −0.356262 0.934386i \(-0.615949\pi\)
0.327699 + 0.944782i \(0.393727\pi\)
\(3\) −38.0853 13.8619i −0.814390 0.296414i −0.0989540 0.995092i \(-0.531550\pi\)
−0.715436 + 0.698678i \(0.753772\pi\)
\(4\) −97.9631 + 82.2008i −0.765337 + 0.642194i
\(5\) 13.0043 + 73.7511i 0.0465256 + 0.263860i 0.999194 0.0401530i \(-0.0127845\pi\)
−0.952668 + 0.304013i \(0.901673\pi\)
\(6\) 13.9380 0.0263433
\(7\) 126.462 + 717.201i 0.139353 + 0.790311i 0.971729 + 0.236099i \(0.0758690\pi\)
−0.832376 + 0.554212i \(0.813020\pi\)
\(8\) 43.9985 76.2077i 0.0303825 0.0526240i
\(9\) −417.005 349.909i −0.190674 0.159995i
\(10\) −12.8770 22.3037i −0.00407208 0.00705304i
\(11\) 3587.91 6214.44i 0.812769 1.40776i −0.0981505 0.995172i \(-0.531293\pi\)
0.910919 0.412585i \(-0.135374\pi\)
\(12\) 4870.41 1772.68i 0.813638 0.296140i
\(13\) −1112.82 + 933.770i −0.140483 + 0.117880i −0.710321 0.703878i \(-0.751450\pi\)
0.569838 + 0.821757i \(0.307006\pi\)
\(14\) −125.224 216.895i −0.0121966 0.0211252i
\(15\) 527.058 2989.09i 0.0403217 0.228676i
\(16\) 2837.17 16090.4i 0.173167 0.982079i
\(17\) −19294.0 16189.6i −0.952469 0.799217i 0.0272424 0.999629i \(-0.491327\pi\)
−0.979712 + 0.200412i \(0.935772\pi\)
\(18\) 175.915 + 64.0277i 0.00710965 + 0.00258770i
\(19\) 51336.6 + 18685.0i 1.71708 + 0.624965i 0.997580 0.0695304i \(-0.0221501\pi\)
0.719497 + 0.694495i \(0.244372\pi\)
\(20\) −7336.34 6155.92i −0.205057 0.172063i
\(21\) 5125.44 29067.8i 0.120771 0.684927i
\(22\) −428.519 + 2430.25i −0.00858008 + 0.0486600i
\(23\) −4514.46 7819.27i −0.0773674 0.134004i 0.824746 0.565503i \(-0.191318\pi\)
−0.902113 + 0.431499i \(0.857985\pi\)
\(24\) −2732.08 + 2292.49i −0.0403417 + 0.0338507i
\(25\) 68143.4 24802.2i 0.872235 0.317468i
\(26\) 249.788 432.645i 0.00278718 0.00482754i
\(27\) 55350.3 + 95869.6i 0.541187 + 0.937363i
\(28\) −71343.1 59864.0i −0.614185 0.515362i
\(29\) 105296. 182379.i 0.801716 1.38861i −0.116771 0.993159i \(-0.537254\pi\)
0.918486 0.395453i \(-0.129412\pi\)
\(30\) 181.254 + 1027.94i 0.00122564 + 0.00695095i
\(31\) −191400. −1.15392 −0.576962 0.816771i \(-0.695762\pi\)
−0.576962 + 0.816771i \(0.695762\pi\)
\(32\) 2931.60 + 16625.9i 0.0158154 + 0.0896936i
\(33\) −222790. + 186943.i −1.07919 + 0.905547i
\(34\) 8139.22 + 2962.44i 0.0355146 + 0.0129263i
\(35\) −51249.8 + 18653.4i −0.202048 + 0.0735394i
\(36\) 69613.9 0.248678
\(37\) 253930. + 174504.i 0.824152 + 0.566369i
\(38\) −18787.6 −0.0555428
\(39\) 55326.0 20137.0i 0.149349 0.0543587i
\(40\) 6192.57 + 2253.91i 0.0152989 + 0.00556835i
\(41\) −463992. + 389336.i −1.05140 + 0.882228i −0.993240 0.116080i \(-0.962967\pi\)
−0.0581580 + 0.998307i \(0.518523\pi\)
\(42\) 1762.62 + 9996.34i 0.00367102 + 0.0208194i
\(43\) −105795. −0.202921 −0.101460 0.994840i \(-0.532351\pi\)
−0.101460 + 0.994840i \(0.532351\pi\)
\(44\) 159349. + 903715.i 0.282011 + 1.59936i
\(45\) 20383.3 35304.9i 0.0333450 0.0577552i
\(46\) 2378.58 + 1995.87i 0.00360301 + 0.00302329i
\(47\) −597654. 1.03517e6i −0.839668 1.45435i −0.890173 0.455623i \(-0.849416\pi\)
0.0505051 0.998724i \(-0.483917\pi\)
\(48\) −331097. + 573478.i −0.432127 + 0.748466i
\(49\) 275492. 100271.i 0.334521 0.121756i
\(50\) −19103.8 + 16030.0i −0.0216135 + 0.0181359i
\(51\) 510398. + 884036.i 0.538783 + 0.933199i
\(52\) 32259.0 182950.i 0.0318156 0.180435i
\(53\) −24906.5 + 141252.i −0.0229798 + 0.130325i −0.994139 0.108105i \(-0.965522\pi\)
0.971160 + 0.238430i \(0.0766328\pi\)
\(54\) −29163.1 24470.7i −0.0252032 0.0211480i
\(55\) 504980. + 183798.i 0.409265 + 0.148960i
\(56\) 60220.4 + 21918.4i 0.0458232 + 0.0166783i
\(57\) −1.69616e6 1.42325e6i −1.21312 1.01793i
\(58\) −12576.0 + 71322.0i −0.00846339 + 0.0479983i
\(59\) 469179. 2.66085e6i 0.297411 1.68670i −0.359830 0.933018i \(-0.617165\pi\)
0.657240 0.753681i \(-0.271724\pi\)
\(60\) 194074. + 336145.i 0.115994 + 0.200908i
\(61\) 1.16505e6 977594.i 0.657190 0.551448i −0.252053 0.967713i \(-0.581106\pi\)
0.909243 + 0.416266i \(0.136661\pi\)
\(62\) 61852.6 22512.5i 0.0329600 0.0119965i
\(63\) 198220. 343327.i 0.0998746 0.172988i
\(64\) 1.04277e6 + 1.80613e6i 0.497230 + 0.861228i
\(65\) −83338.1 69928.9i −0.0376397 0.0315835i
\(66\) 50008.2 86616.8i 0.0214110 0.0370850i
\(67\) −468231. 2.65547e6i −0.190195 1.07865i −0.919097 0.394031i \(-0.871080\pi\)
0.728903 0.684617i \(-0.240031\pi\)
\(68\) 3.22090e6 1.24221
\(69\) 63544.3 + 360378.i 0.0232865 + 0.132064i
\(70\) 14367.8 12056.0i 0.00500664 0.00420107i
\(71\) 228815. + 83282.0i 0.0758719 + 0.0276151i 0.379677 0.925119i \(-0.376035\pi\)
−0.303805 + 0.952734i \(0.598257\pi\)
\(72\) −45013.4 + 16383.5i −0.0142127 + 0.00517301i
\(73\) 1.72801e6 0.519897 0.259948 0.965623i \(-0.416294\pi\)
0.259948 + 0.965623i \(0.416294\pi\)
\(74\) −102584. 26525.2i −0.0294287 0.00760935i
\(75\) −2.93906e6 −0.804441
\(76\) −6.56502e6 + 2.38947e6i −1.71549 + 0.624387i
\(77\) 4.91074e6 + 1.78736e6i 1.22583 + 0.446165i
\(78\) −15510.5 + 13014.9i −0.00370080 + 0.00310534i
\(79\) −468529. 2.65716e6i −0.106916 0.606350i −0.990438 0.137960i \(-0.955945\pi\)
0.883522 0.468390i \(-0.155166\pi\)
\(80\) 1.22358e6 0.267188
\(81\) −572365. 3.24605e6i −0.119667 0.678667i
\(82\) 104149. 180392.i 0.0208597 0.0361300i
\(83\) −1.99116e6 1.67078e6i −0.382237 0.320735i 0.431343 0.902188i \(-0.358040\pi\)
−0.813580 + 0.581453i \(0.802484\pi\)
\(84\) 1.88729e6 + 3.26889e6i 0.347425 + 0.601758i
\(85\) 943094. 1.63349e6i 0.166567 0.288502i
\(86\) 34188.5 12443.6i 0.00579610 0.00210961i
\(87\) −6.53835e6 + 5.48633e6i −1.06451 + 0.893232i
\(88\) −315725. 546853.i −0.0493879 0.0855423i
\(89\) 574922. 3.26054e6i 0.0864458 0.490258i −0.910589 0.413312i \(-0.864372\pi\)
0.997035 0.0769463i \(-0.0245170\pi\)
\(90\) −2434.46 + 13806.5i −0.000352010 + 0.00199635i
\(91\) −810431. 680032.i −0.112738 0.0945986i
\(92\) 1.08500e6 + 394908.i 0.145269 + 0.0528735i
\(93\) 7.28954e6 + 2.65317e6i 0.939744 + 0.342039i
\(94\) 314893. + 264227.i 0.0391035 + 0.0328117i
\(95\) −710442. + 4.02912e6i −0.0850151 + 0.482145i
\(96\) 118816. 673841.i 0.0137065 0.0777335i
\(97\) 868282. + 1.50391e6i 0.0965961 + 0.167309i 0.910274 0.414007i \(-0.135871\pi\)
−0.813678 + 0.581317i \(0.802538\pi\)
\(98\) −77233.7 + 64806.7i −0.00828925 + 0.00695551i
\(99\) −3.67066e6 + 1.33601e6i −0.380208 + 0.138384i
\(100\) −4.63678e6 + 8.03114e6i −0.463678 + 0.803114i
\(101\) 1.24309e6 + 2.15310e6i 0.120055 + 0.207941i 0.919789 0.392413i \(-0.128360\pi\)
−0.799734 + 0.600354i \(0.795026\pi\)
\(102\) −268919. 225650.i −0.0250912 0.0210540i
\(103\) −9.24491e6 + 1.60127e7i −0.833628 + 1.44389i 0.0615143 + 0.998106i \(0.480407\pi\)
−0.895142 + 0.445780i \(0.852926\pi\)
\(104\) 22197.9 + 125890.i 0.00193506 + 0.0109743i
\(105\) 2.21043e6 0.186344
\(106\) −8565.27 48576.1i −0.000698507 0.00396143i
\(107\) 2.77841e6 2.33136e6i 0.219257 0.183978i −0.526543 0.850149i \(-0.676512\pi\)
0.745800 + 0.666170i \(0.232068\pi\)
\(108\) −1.33028e7 4.84184e6i −1.01616 0.369851i
\(109\) −1.70640e7 + 6.21080e6i −1.26209 + 0.459362i −0.884469 0.466600i \(-0.845479\pi\)
−0.377618 + 0.925962i \(0.623257\pi\)
\(110\) −184806. −0.0132386
\(111\) −7.25201e6 1.01660e7i −0.503302 0.705535i
\(112\) 1.18988e7 0.800279
\(113\) 1.50595e7 5.48119e6i 0.981826 0.357356i 0.199276 0.979943i \(-0.436141\pi\)
0.782550 + 0.622588i \(0.213919\pi\)
\(114\) 715529. + 260431.i 0.0452335 + 0.0164637i
\(115\) 517972. 434630.i 0.0317588 0.0266488i
\(116\) 4.67651e6 + 2.65218e7i 0.278176 + 1.57761i
\(117\) 790788. 0.0456467
\(118\) 161349. + 915058.i 0.00904025 + 0.0512698i
\(119\) 9.17123e6 1.58850e7i 0.498900 0.864120i
\(120\) −204602. 171682.i −0.0108088 0.00906962i
\(121\) −1.60026e7 2.77173e7i −0.821186 1.42234i
\(122\) −261511. + 452951.i −0.0130386 + 0.0225835i
\(123\) 2.30682e7 8.39613e6i 1.11775 0.406829i
\(124\) 1.87502e7 1.57333e7i 0.883140 0.741043i
\(125\) 5.64069e6 + 9.76996e6i 0.258313 + 0.447412i
\(126\) −23674.2 + 134263.i −0.00105434 + 0.00597944i
\(127\) 5.11603e6 2.90144e7i 0.221626 1.25690i −0.647406 0.762145i \(-0.724146\pi\)
0.869032 0.494756i \(-0.164743\pi\)
\(128\) −2.20480e6 1.85005e6i −0.0929254 0.0779736i
\(129\) 4.02923e6 + 1.46652e6i 0.165257 + 0.0601485i
\(130\) 35156.4 + 12795.9i 0.00140347 + 0.000510821i
\(131\) −9.94519e6 8.34501e6i −0.386513 0.324323i 0.428740 0.903428i \(-0.358958\pi\)
−0.815253 + 0.579105i \(0.803402\pi\)
\(132\) 6.45834e6 3.66271e7i 0.244406 1.38610i
\(133\) −6.90878e6 + 3.91816e7i −0.254636 + 1.44412i
\(134\) 463649. + 803063.i 0.0166465 + 0.0288325i
\(135\) −6.35069e6 + 5.32886e6i −0.222153 + 0.186409i
\(136\) −2.08268e6 + 758033.i −0.0709964 + 0.0258406i
\(137\) 1.69136e7 2.92952e7i 0.561971 0.973363i −0.435353 0.900260i \(-0.643376\pi\)
0.997324 0.0731031i \(-0.0232902\pi\)
\(138\) −62922.4 108985.i −0.00203811 0.00353012i
\(139\) −4.92415e6 4.13185e6i −0.155518 0.130495i 0.561709 0.827335i \(-0.310144\pi\)
−0.717226 + 0.696840i \(0.754589\pi\)
\(140\) 3.48726e6 6.04012e6i 0.107408 0.186036i
\(141\) 8.41242e6 + 4.77092e7i 0.252729 + 1.43329i
\(142\) −83739.1 −0.00245425
\(143\) 1.81015e6 + 1.02659e7i 0.0517652 + 0.293575i
\(144\) −6.81328e6 + 5.71702e6i −0.190146 + 0.159552i
\(145\) 1.48199e7 + 5.39401e6i 0.403699 + 0.146935i
\(146\) −558421. + 203249.i −0.0148500 + 0.00540496i
\(147\) −1.18821e7 −0.308520
\(148\) −3.92201e7 + 3.77826e6i −0.994472 + 0.0958023i
\(149\) 1.66802e7 0.413094 0.206547 0.978437i \(-0.433777\pi\)
0.206547 + 0.978437i \(0.433777\pi\)
\(150\) 949781. 345692.i 0.0229776 0.00836315i
\(151\) −4.70247e7 1.71156e7i −1.11149 0.404551i −0.279953 0.960014i \(-0.590319\pi\)
−0.831541 + 0.555463i \(0.812541\pi\)
\(152\) 3.68268e6 3.09013e6i 0.0850572 0.0713715i
\(153\) 2.38082e6 + 1.35023e7i 0.0537410 + 0.304780i
\(154\) −1.79717e6 −0.0396522
\(155\) −2.48903e6 1.41160e7i −0.0536870 0.304474i
\(156\) −3.76463e6 + 6.52053e6i −0.0793937 + 0.137514i
\(157\) 2.95965e7 + 2.48344e7i 0.610368 + 0.512159i 0.894759 0.446549i \(-0.147347\pi\)
−0.284392 + 0.958708i \(0.591792\pi\)
\(158\) 463944. + 803575.i 0.00935763 + 0.0162079i
\(159\) 2.90658e6 5.03435e6i 0.0573446 0.0993238i
\(160\) −1.18806e6 + 432418.i −0.0229307 + 0.00834610i
\(161\) 5.03708e6 4.22661e6i 0.0951236 0.0798182i
\(162\) 566764. + 981664.i 0.0104737 + 0.0181410i
\(163\) −1.15900e7 + 6.57303e7i −0.209618 + 1.18880i 0.680388 + 0.732852i \(0.261811\pi\)
−0.890006 + 0.455949i \(0.849300\pi\)
\(164\) 1.34504e7 7.62810e7i 0.238112 1.35040i
\(165\) −1.66845e7 1.40000e7i −0.289147 0.242623i
\(166\) 839976. + 305726.i 0.0142524 + 0.00518746i
\(167\) 8.98869e7 + 3.27161e7i 1.49344 + 0.543569i 0.954353 0.298680i \(-0.0965462\pi\)
0.539090 + 0.842248i \(0.318768\pi\)
\(168\) −1.98968e6 1.66954e6i −0.0323743 0.0271653i
\(169\) −1.05297e7 + 5.97170e7i −0.167808 + 0.951688i
\(170\) −112638. + 638801.i −0.00175838 + 0.00997228i
\(171\) −1.48696e7 2.57549e7i −0.227412 0.393888i
\(172\) 1.03640e7 8.69645e6i 0.155303 0.130314i
\(173\) −8.52912e7 + 3.10434e7i −1.25240 + 0.455836i −0.881212 0.472722i \(-0.843271\pi\)
−0.371187 + 0.928558i \(0.621049\pi\)
\(174\) 1.46762e6 2.54199e6i 0.0211199 0.0365807i
\(175\) 2.64057e7 + 4.57360e7i 0.372447 + 0.645097i
\(176\) −8.98132e7 7.53622e7i −1.24178 1.04198i
\(177\) −5.47532e7 + 9.48353e7i −0.742169 + 1.28547i
\(178\) 197714. + 1.12129e6i 0.00262765 + 0.0149022i
\(179\) 6.44001e6 0.0839269 0.0419634 0.999119i \(-0.486639\pi\)
0.0419634 + 0.999119i \(0.486639\pi\)
\(180\) 905280. + 5.13410e6i 0.0115699 + 0.0656161i
\(181\) 5.62928e7 4.72353e7i 0.705632 0.592095i −0.217738 0.976007i \(-0.569868\pi\)
0.923370 + 0.383912i \(0.125423\pi\)
\(182\) 341883. + 124435.i 0.00420365 + 0.00153001i
\(183\) −5.79226e7 + 2.10821e7i −0.698665 + 0.254293i
\(184\) −794518. −0.00940246
\(185\) −9.56768e6 + 2.09969e7i −0.111098 + 0.243811i
\(186\) −2.66774e6 −0.0303982
\(187\) −1.69834e8 + 6.18146e7i −1.89924 + 0.691267i
\(188\) 1.43640e8 + 5.22805e7i 1.57660 + 0.573836i
\(189\) −6.17581e7 + 5.18212e7i −0.665392 + 0.558330i
\(190\) −244319. 1.38560e6i −0.00258416 0.0146555i
\(191\) 1.02803e8 1.06755 0.533777 0.845626i \(-0.320772\pi\)
0.533777 + 0.845626i \(0.320772\pi\)
\(192\) −1.46777e7 8.32415e7i −0.149660 0.848761i
\(193\) 7.25864e7 1.25723e8i 0.726783 1.25882i −0.231453 0.972846i \(-0.574348\pi\)
0.958236 0.285979i \(-0.0923186\pi\)
\(194\) −457482. 383873.i −0.00449850 0.00377469i
\(195\) 2.20460e6 + 3.81848e6i 0.0212916 + 0.0368782i
\(196\) −1.87457e7 + 3.24685e7i −0.177830 + 0.308011i
\(197\) 6.56772e7 2.39045e7i 0.612044 0.222766i −0.0173533 0.999849i \(-0.505524\pi\)
0.629397 + 0.777084i \(0.283302\pi\)
\(198\) 1.02906e6 863486.i 0.00942136 0.00790546i
\(199\) −1.09235e7 1.89200e7i −0.0982597 0.170191i 0.812705 0.582676i \(-0.197994\pi\)
−0.910964 + 0.412485i \(0.864661\pi\)
\(200\) 1.10809e6 6.28431e6i 0.00979425 0.0555460i
\(201\) −1.89772e7 + 1.07625e8i −0.164833 + 0.934816i
\(202\) −654963. 549580.i −0.00559097 0.00469138i
\(203\) 1.44118e8 + 5.24547e7i 1.20916 + 0.440097i
\(204\) −1.22669e8 4.46477e7i −1.01164 0.368209i
\(205\) −3.47478e7 2.91569e7i −0.281701 0.236376i
\(206\) 1.10416e6 6.26200e6i 0.00880028 0.0499089i
\(207\) −853479. + 4.84032e6i −0.00668801 + 0.0379296i
\(208\) 1.18674e7 + 2.05550e7i 0.0914399 + 0.158379i
\(209\) 3.00308e8 2.51988e8i 2.27538 1.90927i
\(210\) −714319. + 259991.i −0.00532261 + 0.00193727i
\(211\) 9.06422e7 1.56997e8i 0.664266 1.15054i −0.315218 0.949019i \(-0.602078\pi\)
0.979484 0.201523i \(-0.0645890\pi\)
\(212\) −9.17108e6 1.58848e7i −0.0661066 0.114500i
\(213\) −7.56004e6 6.34363e6i −0.0536038 0.0449789i
\(214\) −623650. + 1.08019e6i −0.00435004 + 0.00753449i
\(215\) −1.37579e6 7.80251e6i −0.00944101 0.0535426i
\(216\) 9.74134e6 0.0657704
\(217\) −2.42049e7 1.37273e8i −0.160803 0.911958i
\(218\) 4.78387e6 4.01414e6i 0.0312738 0.0262419i
\(219\) −6.58118e7 2.39535e7i −0.423399 0.154104i
\(220\) −6.45777e7 + 2.35044e7i −0.408887 + 0.148823i
\(221\) 3.65882e7 0.228017
\(222\) 3.53927e6 + 2.43223e6i 0.0217109 + 0.0149200i
\(223\) −2.39950e8 −1.44895 −0.724474 0.689302i \(-0.757917\pi\)
−0.724474 + 0.689302i \(0.757917\pi\)
\(224\) −1.15534e7 + 4.20510e6i −0.0686819 + 0.0249982i
\(225\) −3.70946e7 1.35013e7i −0.217106 0.0790202i
\(226\) −4.22188e6 + 3.54258e6i −0.0243291 + 0.0204146i
\(227\) −1.34637e7 7.63566e7i −0.0763967 0.433267i −0.998884 0.0472389i \(-0.984958\pi\)
0.922487 0.386028i \(-0.126153\pi\)
\(228\) 2.83153e8 1.58216
\(229\) 1.36638e6 + 7.74911e6i 0.00751877 + 0.0426410i 0.988336 0.152287i \(-0.0486638\pi\)
−0.980818 + 0.194928i \(0.937553\pi\)
\(230\) −116266. + 201378.i −0.000630092 + 0.00109135i
\(231\) −1.62250e8 1.36144e8i −0.866052 0.726704i
\(232\) −9.26577e6 1.60488e7i −0.0487162 0.0843790i
\(233\) −1.40099e8 + 2.42659e8i −0.725589 + 1.25676i 0.233142 + 0.972443i \(0.425099\pi\)
−0.958731 + 0.284315i \(0.908234\pi\)
\(234\) −255549. + 93012.4i −0.00130382 + 0.000474553i
\(235\) 6.85726e7 5.75393e7i 0.344678 0.289219i
\(236\) 1.72761e8 + 2.99232e8i 0.855568 + 1.48189i
\(237\) −1.89893e7 + 1.07693e8i −0.0926592 + 0.525497i
\(238\) −1.09536e6 + 6.21210e6i −0.00526669 + 0.0298689i
\(239\) −3.90228e7 3.27440e7i −0.184895 0.155146i 0.545642 0.838018i \(-0.316286\pi\)
−0.730537 + 0.682873i \(0.760730\pi\)
\(240\) −4.66003e7 1.69611e7i −0.217595 0.0791981i
\(241\) 2.21186e8 + 8.05052e7i 1.01788 + 0.370480i 0.796456 0.604697i \(-0.206706\pi\)
0.221429 + 0.975177i \(0.428928\pi\)
\(242\) 8.43147e6 + 7.07484e6i 0.0382428 + 0.0320895i
\(243\) 1.88430e7 1.06864e8i 0.0842417 0.477758i
\(244\) −3.37730e7 + 1.91536e8i −0.148835 + 0.844086i
\(245\) 1.09777e7 + 1.90139e7i 0.0476902 + 0.0826019i
\(246\) −6.46712e6 + 5.42655e6i −0.0276973 + 0.0232408i
\(247\) −7.45761e7 + 2.71435e7i −0.314891 + 0.114611i
\(248\) −8.42134e6 + 1.45862e7i −0.0350591 + 0.0607241i
\(249\) 5.26736e7 + 9.12334e7i 0.216220 + 0.374504i
\(250\) −2.97197e6 2.49378e6i −0.0120297 0.0100941i
\(251\) 1.40935e8 2.44106e8i 0.562548 0.974362i −0.434725 0.900563i \(-0.643154\pi\)
0.997273 0.0737991i \(-0.0235124\pi\)
\(252\) 8.80351e6 + 4.99272e7i 0.0346540 + 0.196533i
\(253\) −6.47898e7 −0.251527
\(254\) 1.75939e6 + 9.97799e6i 0.00673665 + 0.0382054i
\(255\) −5.85612e7 + 4.91387e7i −0.221167 + 0.185581i
\(256\) −2.49919e8 9.09632e7i −0.931022 0.338864i
\(257\) −1.65034e8 + 6.00674e7i −0.606467 + 0.220736i −0.626957 0.779054i \(-0.715700\pi\)
0.0204896 + 0.999790i \(0.493478\pi\)
\(258\) −1.47457e6 −0.00534560
\(259\) −9.30421e7 + 2.04187e8i −0.332759 + 0.730261i
\(260\) 1.39123e7 0.0490898
\(261\) −1.07725e8 + 3.92087e7i −0.375038 + 0.136503i
\(262\) 4.19541e6 + 1.52700e6i 0.0144118 + 0.00524548i
\(263\) −9.80638e7 + 8.22853e7i −0.332402 + 0.278918i −0.793678 0.608338i \(-0.791836\pi\)
0.461276 + 0.887257i \(0.347392\pi\)
\(264\) 4.44407e6 + 2.52036e7i 0.0148651 + 0.0843040i
\(265\) −1.07413e7 −0.0354567
\(266\) −2.37591e6 1.34745e7i −0.00774007 0.0438961i
\(267\) −6.70934e7 + 1.16209e8i −0.215720 + 0.373638i
\(268\) 2.64151e8 + 2.21649e8i 0.838264 + 0.703387i
\(269\) −1.22036e8 2.11373e8i −0.382258 0.662090i 0.609127 0.793073i \(-0.291520\pi\)
−0.991385 + 0.130983i \(0.958187\pi\)
\(270\) 1.42550e6 2.46903e6i 0.00440751 0.00763402i
\(271\) 3.53526e8 1.28673e8i 1.07902 0.392731i 0.259476 0.965749i \(-0.416450\pi\)
0.819542 + 0.573019i \(0.194228\pi\)
\(272\) −3.15237e8 + 2.64515e8i −0.949830 + 0.797002i
\(273\) 2.14389e7 + 3.71333e7i 0.0637726 + 0.110457i
\(274\) −2.02007e6 + 1.14564e7i −0.00593251 + 0.0336449i
\(275\) 9.03607e7 5.12461e8i 0.262008 1.48592i
\(276\) −3.58483e7 3.00803e7i −0.102633 0.0861193i
\(277\) 1.35382e7 + 4.92749e6i 0.0382719 + 0.0139298i 0.361085 0.932533i \(-0.382406\pi\)
−0.322813 + 0.946463i \(0.604629\pi\)
\(278\) 2.07727e6 + 756063.i 0.00579876 + 0.00211058i
\(279\) 7.98150e7 + 6.69727e7i 0.220024 + 0.184622i
\(280\) −833384. + 4.72635e6i −0.00226878 + 0.0128669i
\(281\) −4.23395e7 + 2.40119e8i −0.113834 + 0.645587i 0.873486 + 0.486849i \(0.161854\pi\)
−0.987321 + 0.158738i \(0.949257\pi\)
\(282\) −8.33009e6 1.44281e7i −0.0221196 0.0383123i
\(283\) −3.45122e8 + 2.89592e8i −0.905149 + 0.759510i −0.971190 0.238306i \(-0.923408\pi\)
0.0660406 + 0.997817i \(0.478963\pi\)
\(284\) −2.92613e7 + 1.06502e7i −0.0758018 + 0.0275896i
\(285\) 8.29086e7 1.43602e8i 0.212150 0.367454i
\(286\) −1.79243e6 3.10458e6i −0.00453066 0.00784734i
\(287\) −3.37909e8 2.83540e8i −0.843749 0.707990i
\(288\) 4.59507e6 7.95890e6i 0.0113349 0.0196327i
\(289\) 3.89011e7 + 2.20619e8i 0.0948023 + 0.537651i
\(290\) −5.42362e6 −0.0130586
\(291\) −1.22217e7 6.93128e7i −0.0290741 0.164888i
\(292\) −1.69281e8 + 1.42044e8i −0.397896 + 0.333874i
\(293\) 7.52648e6 + 2.73942e6i 0.0174806 + 0.00636240i 0.350746 0.936471i \(-0.385928\pi\)
−0.333265 + 0.942833i \(0.608150\pi\)
\(294\) 3.83981e6 1.39758e6i 0.00881239 0.00320745i
\(295\) 2.02342e8 0.458889
\(296\) 2.44711e7 1.16735e7i 0.0548444 0.0261625i
\(297\) 7.94368e8 1.75944
\(298\) −5.39033e6 + 1.96192e6i −0.0117994 + 0.00429462i
\(299\) 1.23252e7 + 4.48600e6i 0.0266652 + 0.00970533i
\(300\) 2.87920e8 2.41593e8i 0.615669 0.516607i
\(301\) −1.33791e7 7.58764e7i −0.0282776 0.160370i
\(302\) 1.72096e7 0.0359538
\(303\) −1.74975e7 9.92331e7i −0.0361348 0.204931i
\(304\) 4.46300e8 7.73013e8i 0.911106 1.57808i
\(305\) 8.72493e7 + 7.32109e7i 0.176081 + 0.147750i
\(306\) −2.35752e6 4.08334e6i −0.00470359 0.00814686i
\(307\) −6.08040e7 + 1.05316e8i −0.119935 + 0.207734i −0.919742 0.392524i \(-0.871602\pi\)
0.799806 + 0.600258i \(0.204935\pi\)
\(308\) −6.27994e8 + 2.28571e8i −1.22469 + 0.445752i
\(309\) 5.74060e8 4.81694e8i 1.10689 0.928788i
\(310\) 2.46467e6 + 4.26893e6i 0.00469887 + 0.00813867i
\(311\) −4.41895e7 + 2.50611e8i −0.0833025 + 0.472432i 0.914408 + 0.404795i \(0.132657\pi\)
−0.997710 + 0.0676369i \(0.978454\pi\)
\(312\) 899668. 5.10227e6i 0.00167703 0.00951091i
\(313\) 1.73977e8 + 1.45984e8i 0.320691 + 0.269092i 0.788894 0.614529i \(-0.210654\pi\)
−0.468203 + 0.883621i \(0.655098\pi\)
\(314\) −1.24854e7 4.54430e6i −0.0227587 0.00828349i
\(315\) 2.78984e7 + 1.01542e7i 0.0502913 + 0.0183045i
\(316\) 2.64319e8 + 2.21790e8i 0.471221 + 0.395401i
\(317\) −1.51101e8 + 8.56934e8i −0.266415 + 1.51091i 0.498560 + 0.866855i \(0.333862\pi\)
−0.764975 + 0.644060i \(0.777249\pi\)
\(318\) −347146. + 1.96876e6i −0.000605365 + 0.00343319i
\(319\) −7.55587e8 1.30872e9i −1.30322 2.25724i
\(320\) −1.19643e8 + 1.00393e8i −0.204110 + 0.171268i
\(321\) −1.38133e8 + 5.02765e7i −0.233094 + 0.0848393i
\(322\) −1.13064e6 + 1.95832e6i −0.00188725 + 0.00326881i
\(323\) −6.87986e8 1.19163e9i −1.13598 1.96758i
\(324\) 3.22898e8 + 2.70944e8i 0.527422 + 0.442559i
\(325\) −5.26721e7 + 9.12307e7i −0.0851116 + 0.147418i
\(326\) −3.98578e6 2.26045e7i −0.00637165 0.0361354i
\(327\) 7.35982e8 1.16399
\(328\) 9.25540e6 + 5.24900e7i 0.0144823 + 0.0821330i
\(329\) 6.66843e8 5.59548e8i 1.03238 0.866266i
\(330\) 7.03840e6 + 2.56177e6i 0.0107814 + 0.00392411i
\(331\) −9.72831e7 + 3.54082e7i −0.147448 + 0.0536668i −0.414690 0.909963i \(-0.636110\pi\)
0.267242 + 0.963630i \(0.413888\pi\)
\(332\) 3.32400e8 0.498514
\(333\) −4.48294e7 1.61621e8i −0.0665286 0.239852i
\(334\) −3.28957e7 −0.0483089
\(335\) 1.89755e8 6.90651e7i 0.275763 0.100369i
\(336\) −4.53170e8 1.64940e8i −0.651739 0.237214i
\(337\) 5.55762e8 4.66340e8i 0.791014 0.663740i −0.154982 0.987917i \(-0.549532\pi\)
0.945996 + 0.324178i \(0.105088\pi\)
\(338\) −3.62114e6 2.05365e7i −0.00510079 0.0289280i
\(339\) −6.49523e8 −0.905515
\(340\) 4.18855e7 + 2.37545e8i 0.0577946 + 0.327770i
\(341\) −6.86727e8 + 1.18945e9i −0.937873 + 1.62444i
\(342\) 7.83451e6 + 6.57394e6i 0.0105906 + 0.00888657i
\(343\) 4.06633e8 + 7.04308e8i 0.544093 + 0.942396i
\(344\) −4.65483e6 + 8.06241e6i −0.00616523 + 0.0106785i
\(345\) −2.57519e7 + 9.37292e6i −0.0337631 + 0.0122888i
\(346\) 2.39112e7 2.00639e7i 0.0310338 0.0260404i
\(347\) −1.16392e8 2.01596e8i −0.149544 0.259018i 0.781515 0.623886i \(-0.214447\pi\)
−0.931059 + 0.364869i \(0.881114\pi\)
\(348\) 1.89537e8 1.07492e9i 0.241083 1.36725i
\(349\) 6.92890e7 3.92957e8i 0.0872519 0.494830i −0.909596 0.415494i \(-0.863609\pi\)
0.996848 0.0793364i \(-0.0252801\pi\)
\(350\) −1.39127e7 1.16741e7i −0.0173449 0.0145541i
\(351\) −1.51115e8 5.50015e7i −0.186524 0.0678890i
\(352\) 1.13839e8 + 4.14341e7i 0.139121 + 0.0506359i
\(353\) −4.19197e8 3.51748e8i −0.507232 0.425618i 0.352922 0.935653i \(-0.385188\pi\)
−0.860154 + 0.510035i \(0.829633\pi\)
\(354\) 6.53941e6 3.70868e7i 0.00783478 0.0444333i
\(355\) −3.16655e6 + 1.79584e7i −0.00375653 + 0.0213044i
\(356\) 2.11698e8 + 3.66672e8i 0.248681 + 0.430728i
\(357\) −5.69486e8 + 4.77855e8i −0.662436 + 0.555850i
\(358\) −2.08114e6 + 757473.i −0.00239724 + 0.000872523i
\(359\) −6.25876e8 + 1.08405e9i −0.713934 + 1.23657i 0.249435 + 0.968391i \(0.419755\pi\)
−0.963369 + 0.268178i \(0.913578\pi\)
\(360\) −1.79367e6 3.10673e6i −0.00202621 0.00350949i
\(361\) 1.60157e9 + 1.34388e9i 1.79173 + 1.50344i
\(362\) −1.26357e7 + 2.18856e7i −0.0139997 + 0.0242482i
\(363\) 2.25248e8 + 1.27745e9i 0.247166 + 1.40175i
\(364\) 1.35292e8 0.147033
\(365\) 2.24716e7 + 1.27443e8i 0.0241885 + 0.137180i
\(366\) 1.62385e7 1.36257e7i 0.0173126 0.0145270i
\(367\) −8.86738e8 3.22746e8i −0.936405 0.340824i −0.171660 0.985156i \(-0.554913\pi\)
−0.764745 + 0.644333i \(0.777135\pi\)
\(368\) −1.38623e8 + 5.04547e7i −0.145000 + 0.0527758i
\(369\) 3.29719e8 0.341627
\(370\) 622221. 7.91066e6i 0.000638615 0.00811908i
\(371\) −1.04456e8 −0.106200
\(372\) −9.32198e8 + 3.39292e8i −0.938876 + 0.341723i
\(373\) 6.77819e8 + 2.46706e8i 0.676290 + 0.246149i 0.657254 0.753669i \(-0.271718\pi\)
0.0190361 + 0.999819i \(0.493940\pi\)
\(374\) 4.76127e7 3.99518e7i 0.0470622 0.0394898i
\(375\) −7.93968e7 4.50282e8i −0.0777488 0.440935i
\(376\) −1.05184e8 −0.102045
\(377\) 5.31234e7 + 3.01278e8i 0.0510612 + 0.289583i
\(378\) 1.38624e7 2.40104e7i 0.0132013 0.0228654i
\(379\) −1.53294e9 1.28629e9i −1.44640 1.21367i −0.935157 0.354233i \(-0.884742\pi\)
−0.511240 0.859438i \(-0.670814\pi\)
\(380\) −2.61600e8 4.53104e8i −0.244565 0.423599i
\(381\) −5.97040e8 + 1.03410e9i −0.553052 + 0.957915i
\(382\) −3.32216e7 + 1.20917e7i −0.0304929 + 0.0110985i
\(383\) −9.28162e8 + 7.78820e8i −0.844166 + 0.708340i −0.958497 0.285103i \(-0.907972\pi\)
0.114331 + 0.993443i \(0.463528\pi\)
\(384\) 5.83252e7 + 1.01022e8i 0.0525650 + 0.0910453i
\(385\) −6.79592e7 + 3.85416e8i −0.0606926 + 0.344205i
\(386\) −8.66931e6 + 4.91661e7i −0.00767236 + 0.0435121i
\(387\) 4.41171e7 + 3.70187e7i 0.0386918 + 0.0324663i
\(388\) −2.08682e8 7.59541e7i −0.181374 0.0660146i
\(389\) 1.49313e8 + 5.43455e7i 0.128610 + 0.0468101i 0.405523 0.914085i \(-0.367089\pi\)
−0.276914 + 0.960895i \(0.589312\pi\)
\(390\) −1.16156e6 974668.i −0.000991556 0.000832014i
\(391\) −3.94888e7 + 2.23952e8i −0.0334084 + 0.189468i
\(392\) 4.47984e6 2.54064e7i 0.00375631 0.0213031i
\(393\) 2.63087e8 + 4.55681e8i 0.218638 + 0.378693i
\(394\) −1.84125e7 + 1.54499e7i −0.0151661 + 0.0127259i
\(395\) 1.89876e8 6.91091e7i 0.155017 0.0564216i
\(396\) 2.49768e8 4.32611e8i 0.202118 0.350078i
\(397\) 7.64403e8 + 1.32399e9i 0.613134 + 1.06198i 0.990709 + 0.136001i \(0.0434249\pi\)
−0.377574 + 0.925979i \(0.623242\pi\)
\(398\) 5.75538e6 + 4.82934e6i 0.00457597 + 0.00383970i
\(399\) 8.06254e8 1.39647e9i 0.635429 1.10060i
\(400\) −2.05742e8 1.16682e9i −0.160736 0.911579i
\(401\) −8.03036e8 −0.621913 −0.310957 0.950424i \(-0.600649\pi\)
−0.310957 + 0.950424i \(0.600649\pi\)
\(402\) −6.52620e6 3.70119e7i −0.00501036 0.0284152i
\(403\) 2.12995e8 1.78724e8i 0.162107 0.136024i
\(404\) −2.98764e8 1.08741e8i −0.225421 0.0820464i
\(405\) 2.31956e8 8.44251e7i 0.173505 0.0631508i
\(406\) −5.27426e7 −0.0391130
\(407\) 1.99552e9 9.51926e8i 1.46715 0.699878i
\(408\) 8.98271e7 0.0654782
\(409\) 1.24054e9 4.51519e8i 0.896557 0.326320i 0.147685 0.989034i \(-0.452818\pi\)
0.748872 + 0.662714i \(0.230596\pi\)
\(410\) 1.46585e7 + 5.33524e6i 0.0105038 + 0.00382306i
\(411\) −1.05025e9 + 8.81261e8i −0.746182 + 0.626121i
\(412\) −4.10593e8 2.32859e9i −0.289249 1.64041i
\(413\) 1.96769e9 1.37446
\(414\) −293509. 1.66457e6i −0.000203292 0.00115293i
\(415\) 9.73283e7 1.68578e8i 0.0668453 0.115779i
\(416\) −1.87872e7 1.57643e7i −0.0127948 0.0107361i
\(417\) 1.30262e8 + 2.25621e8i 0.0879716 + 0.152371i
\(418\) −6.74081e7 + 1.16754e8i −0.0451435 + 0.0781908i
\(419\) −3.79588e8 + 1.38159e8i −0.252095 + 0.0917550i −0.464977 0.885323i \(-0.653937\pi\)
0.212882 + 0.977078i \(0.431715\pi\)
\(420\) −2.16541e8 + 1.81699e8i −0.142616 + 0.119669i
\(421\) −4.52120e8 7.83095e8i −0.295302 0.511478i 0.679753 0.733441i \(-0.262087\pi\)
−0.975055 + 0.221963i \(0.928754\pi\)
\(422\) −1.08258e7 + 6.13961e7i −0.00701239 + 0.0397692i
\(423\) −1.12989e8 + 6.40795e8i −0.0725849 + 0.411649i
\(424\) 9.66861e6 + 8.11293e6i 0.00616004 + 0.00516889i
\(425\) −1.71629e9 6.24680e8i −1.08450 0.394727i
\(426\) 3.18923e6 + 1.16078e6i 0.00199872 + 0.000727474i
\(427\) 8.48467e8 + 7.11948e8i 0.527396 + 0.442538i
\(428\) −8.05417e7 + 4.56775e8i −0.0496555 + 0.281611i
\(429\) 7.33644e7 4.16070e8i 0.0448626 0.254429i
\(430\) 1.36233e6 + 2.35962e6i 0.000826308 + 0.00143121i
\(431\) −5.05986e8 + 4.24573e8i −0.304417 + 0.255436i −0.782180 0.623053i \(-0.785892\pi\)
0.477763 + 0.878489i \(0.341448\pi\)
\(432\) 1.69962e9 6.18610e8i 1.01428 0.369168i
\(433\) −9.85398e7 + 1.70676e8i −0.0583316 + 0.101033i −0.893717 0.448632i \(-0.851911\pi\)
0.835385 + 0.549665i \(0.185245\pi\)
\(434\) 2.39680e7 + 4.15138e7i 0.0140740 + 0.0243769i
\(435\) −4.89649e8 4.10865e8i −0.285215 0.239324i
\(436\) 1.16111e9 2.01111e9i 0.670922 1.16207i
\(437\) −8.56539e7 4.85768e8i −0.0490978 0.278448i
\(438\) 2.40850e7 0.0136958
\(439\) −2.31884e7 1.31508e8i −0.0130811 0.0741868i 0.977568 0.210618i \(-0.0675477\pi\)
−0.990650 + 0.136432i \(0.956437\pi\)
\(440\) 3.62252e7 3.03965e7i 0.0202734 0.0170114i
\(441\) −1.49967e8 5.45837e7i −0.0832649 0.0303059i
\(442\) −1.18238e7 + 4.30350e6i −0.00651295 + 0.00237052i
\(443\) 3.72528e8 0.203585 0.101792 0.994806i \(-0.467542\pi\)
0.101792 + 0.994806i \(0.467542\pi\)
\(444\) 1.54608e9 + 3.99769e8i 0.838285 + 0.216755i
\(445\) 2.47945e8 0.133381
\(446\) 7.75416e7 2.82228e7i 0.0413869 0.0150636i
\(447\) −6.35268e8 2.31219e8i −0.336419 0.122447i
\(448\) −1.16349e9 + 9.76280e8i −0.611347 + 0.512981i
\(449\) −2.74895e8 1.55901e9i −0.143319 0.812803i −0.968701 0.248229i \(-0.920151\pi\)
0.825382 0.564574i \(-0.190960\pi\)
\(450\) 1.35755e7 0.00702280
\(451\) 7.54741e8 + 4.28035e9i 0.387418 + 2.19716i
\(452\) −1.02471e9 + 1.77485e9i −0.521936 + 0.904020i
\(453\) 1.55369e9 + 1.30370e9i 0.785275 + 0.658924i
\(454\) 1.33320e7 + 2.30916e7i 0.00668649 + 0.0115813i
\(455\) 3.96140e7 6.86135e7i 0.0197156 0.0341483i
\(456\) −1.83091e8 + 6.66396e7i −0.0904253 + 0.0329121i
\(457\) 1.07670e9 9.03462e8i 0.527703 0.442795i −0.339604 0.940568i \(-0.610293\pi\)
0.867307 + 0.497773i \(0.165849\pi\)
\(458\) −1.35301e6 2.34347e6i −0.000658067 0.00113981i
\(459\) 4.84160e8 2.74581e9i 0.233692 1.32533i
\(460\) −1.50152e7 + 8.51554e7i −0.00719248 + 0.0407906i
\(461\) −1.25253e9 1.05100e9i −0.595435 0.499629i 0.294540 0.955639i \(-0.404834\pi\)
−0.889975 + 0.456010i \(0.849278\pi\)
\(462\) 6.84458e7 + 2.49122e7i 0.0322924 + 0.0117535i
\(463\) −2.91123e9 1.05960e9i −1.36315 0.496146i −0.446123 0.894972i \(-0.647195\pi\)
−0.917027 + 0.398826i \(0.869418\pi\)
\(464\) −2.63580e9 2.21170e9i −1.22490 1.02781i
\(465\) −1.00879e8 + 5.72114e8i −0.0465281 + 0.263874i
\(466\) 1.67327e7 9.48958e7i 0.00765976 0.0434406i
\(467\) −6.15508e8 1.06609e9i −0.279656 0.484379i 0.691643 0.722239i \(-0.256887\pi\)
−0.971299 + 0.237861i \(0.923554\pi\)
\(468\) −7.74680e7 + 6.50034e7i −0.0349351 + 0.0293140i
\(469\) 1.84529e9 6.71632e8i 0.825963 0.300626i
\(470\) −1.53920e7 + 2.66598e7i −0.00683838 + 0.0118444i
\(471\) −7.82938e8 1.35609e9i −0.345266 0.598019i
\(472\) −1.82134e8 1.52828e8i −0.0797248 0.0668971i
\(473\) −3.79583e8 + 6.57458e8i −0.164928 + 0.285663i
\(474\) −6.53036e6 3.70355e7i −0.00281652 0.0159733i
\(475\) 3.96168e9 1.69610
\(476\) 4.07321e8 + 2.31003e9i 0.173106 + 0.981733i
\(477\) 5.98113e7 5.01876e7i 0.0252330 0.0211730i
\(478\) 1.64619e7 + 5.99163e6i 0.00689417 + 0.00250927i
\(479\) 8.72075e8 3.17409e8i 0.362560 0.131961i −0.154316 0.988022i \(-0.549317\pi\)
0.516875 + 0.856061i \(0.327095\pi\)
\(480\) 5.12416e7 0.0211484
\(481\) −4.45526e8 + 4.29196e7i −0.182543 + 0.0175852i
\(482\) −8.09471e7 −0.0329258
\(483\) −2.50427e8 + 9.11481e7i −0.101127 + 0.0368072i
\(484\) 3.84605e9 + 1.39985e9i 1.54190 + 0.561205i
\(485\) −9.96235e7 + 8.35940e7i −0.0396520 + 0.0332720i
\(486\) 6.48005e6 + 3.67502e7i 0.00256066 + 0.0145222i
\(487\) −1.55340e8 −0.0609440 −0.0304720 0.999536i \(-0.509701\pi\)
−0.0304720 + 0.999536i \(0.509701\pi\)
\(488\) −2.32397e7 1.31799e8i −0.00905233 0.0513383i
\(489\) 1.35256e9 2.34270e9i 0.523087 0.906014i
\(490\) −5.78394e6 4.85330e6i −0.00222094 0.00186359i
\(491\) 1.28632e9 + 2.22797e9i 0.490415 + 0.849424i 0.999939 0.0110325i \(-0.00351183\pi\)
−0.509524 + 0.860456i \(0.670178\pi\)
\(492\) −1.56966e9 + 2.71873e9i −0.594194 + 1.02917i
\(493\) −4.98422e9 + 1.81411e9i −1.87341 + 0.681866i
\(494\) 2.09073e7 1.75433e7i 0.00780284 0.00654736i
\(495\) −1.46267e8 2.53341e8i −0.0542035 0.0938832i
\(496\) −5.43035e8 + 3.07971e9i −0.199822 + 1.13324i
\(497\) −3.07935e7 + 1.74639e8i −0.0112515 + 0.0638106i
\(498\) −2.77528e7 2.32873e7i −0.0100694 0.00844923i
\(499\) −1.96991e9 7.16987e8i −0.709730 0.258321i −0.0381708 0.999271i \(-0.512153\pi\)
−0.671560 + 0.740950i \(0.734375\pi\)
\(500\) −1.35568e9 4.93426e8i −0.485022 0.176534i
\(501\) −2.96986e9 2.49201e9i −1.05512 0.885354i
\(502\) −1.68324e7 + 9.54615e7i −0.00593860 + 0.0336795i
\(503\) −6.59354e8 + 3.73938e9i −0.231010 + 1.31012i 0.619846 + 0.784724i \(0.287195\pi\)
−0.850856 + 0.525399i \(0.823916\pi\)
\(504\) −1.74428e7 3.02118e7i −0.00606888 0.0105116i
\(505\) −1.42628e8 + 1.19679e8i −0.0492816 + 0.0413522i
\(506\) 2.09373e7 7.62057e6i 0.00718447 0.00261493i
\(507\) 1.22882e9 2.12837e9i 0.418755 0.725304i
\(508\) 1.88383e9 + 3.26288e9i 0.637556 + 1.10428i
\(509\) 9.72144e8 + 8.15726e8i 0.326752 + 0.274178i 0.791375 0.611331i \(-0.209366\pi\)
−0.464623 + 0.885509i \(0.653810\pi\)
\(510\) 1.31448e7 2.27675e7i 0.00438793 0.00760011i
\(511\) 2.18528e8 + 1.23933e9i 0.0724492 + 0.410880i
\(512\) 4.59867e8 0.151422
\(513\) 1.05018e9 + 5.95584e9i 0.343440 + 1.94775i
\(514\) 4.62669e7 3.88225e7i 0.0150279 0.0126099i
\(515\) −1.30117e9 4.73589e8i −0.419769 0.152783i
\(516\) −5.15266e8 + 1.87541e8i −0.165104 + 0.0600929i
\(517\) −8.57731e9 −2.72982
\(518\) 6.05087e6 7.69282e7i 0.00191277 0.0243182i
\(519\) 3.67866e9 1.15506
\(520\) −8.99588e6 + 3.27423e6i −0.00280564 + 0.00102117i
\(521\) −3.89775e9 1.41866e9i −1.20749 0.439489i −0.341655 0.939826i \(-0.610987\pi\)
−0.865831 + 0.500337i \(0.833210\pi\)
\(522\) 3.02005e7 2.53412e7i 0.00929324 0.00779795i
\(523\) −4.10161e8 2.32614e9i −0.125371 0.711017i −0.981087 0.193570i \(-0.937993\pi\)
0.855715 0.517447i \(-0.173118\pi\)
\(524\) 1.66023e9 0.504090
\(525\) −3.71680e8 2.10790e9i −0.112101 0.635759i
\(526\) 2.20117e7 3.81254e7i 0.00659483 0.0114226i
\(527\) 3.69288e9 + 3.09869e9i 1.09908 + 0.922235i
\(528\) 2.37589e9 + 4.11517e9i 0.702439 + 1.21666i
\(529\) 1.66165e9 2.87807e9i 0.488029 0.845290i
\(530\) 3.47115e6 1.26340e6i 0.00101276 0.000368616i
\(531\) −1.12670e9 + 9.45416e8i −0.326572 + 0.274026i
\(532\) −2.54396e9 4.40626e9i −0.732519 1.26876i
\(533\) 1.52792e8 8.66524e8i 0.0437073 0.247877i
\(534\) 8.01325e6 4.54454e7i 0.00227727 0.0129150i
\(535\) 2.08072e8 + 1.74593e8i 0.0587455 + 0.0492933i
\(536\) −2.22969e8 8.11540e7i −0.0625414 0.0227632i
\(537\) −2.45269e8 8.92708e7i −0.0683492 0.0248771i
\(538\) 6.42987e7 + 5.39530e7i 0.0178018 + 0.0149375i
\(539\) 3.65313e8 2.07179e9i 0.100486 0.569883i
\(540\) 1.84097e8 1.04406e9i 0.0503115 0.285331i
\(541\) −1.08633e8 1.88158e8i −0.0294965 0.0510895i 0.850900 0.525327i \(-0.176057\pi\)
−0.880397 + 0.474238i \(0.842724\pi\)
\(542\) −9.91103e7 + 8.31634e7i −0.0267375 + 0.0224354i
\(543\) −2.79870e9 + 1.01864e9i −0.750165 + 0.273038i
\(544\) 2.12605e8 3.68242e8i 0.0566209 0.0980703i
\(545\) −6.79959e8 1.17772e9i −0.179926 0.311642i
\(546\) −1.12958e7 9.47828e6i −0.00296990 0.00249204i
\(547\) −3.68381e8 + 6.38055e8i −0.0962370 + 0.166687i −0.910124 0.414336i \(-0.864014\pi\)
0.813887 + 0.581023i \(0.197347\pi\)
\(548\) 7.51182e8 + 4.26016e9i 0.194990 + 1.10584i
\(549\) −8.27901e8 −0.213538
\(550\) 3.10748e7 + 1.76234e8i 0.00796414 + 0.0451669i
\(551\) 8.81331e9 7.39524e9i 2.24444 1.88331i
\(552\) 3.02594e7 + 1.10135e7i 0.00765727 + 0.00278702i
\(553\) 1.84647e9 6.72060e8i 0.464306 0.168993i
\(554\) −4.95453e6 −0.00123799
\(555\) 6.55444e8 6.67045e8i 0.162746 0.165627i
\(556\) 8.22027e8 0.202826
\(557\) 4.08519e9 1.48689e9i 1.00166 0.364574i 0.211434 0.977392i \(-0.432187\pi\)
0.790224 + 0.612819i \(0.209964\pi\)
\(558\) −3.36702e7 1.22549e7i −0.00820400 0.00298601i
\(559\) 1.17731e8 9.87884e7i 0.0285070 0.0239202i
\(560\) 1.54736e8 + 8.77552e8i 0.0372335 + 0.211161i
\(561\) 7.32505e9 1.75162
\(562\) −1.45605e7 8.25764e7i −0.00346017 0.0196236i
\(563\) 1.74651e9 3.02504e9i 0.412469 0.714417i −0.582690 0.812694i \(-0.698000\pi\)
0.995159 + 0.0982773i \(0.0313332\pi\)
\(564\) −4.74584e9 3.98224e9i −1.11388 0.934652i
\(565\) 6.00081e8 + 1.03937e9i 0.139972 + 0.242438i
\(566\) 7.74672e7 1.34177e8i 0.0179581 0.0311043i
\(567\) 2.25569e9 8.21002e8i 0.519682 0.189149i
\(568\) 1.64143e7 1.37732e7i 0.00375840 0.00315367i
\(569\) −2.54091e9 4.40099e9i −0.578225 1.00152i −0.995683 0.0928194i \(-0.970412\pi\)
0.417458 0.908696i \(-0.362921\pi\)
\(570\) −9.90213e6 + 5.61578e7i −0.00223958 + 0.0127013i
\(571\) 6.51167e8 3.69295e9i 0.146375 0.830132i −0.819879 0.572538i \(-0.805959\pi\)
0.966253 0.257594i \(-0.0829298\pi\)
\(572\) −1.02119e9 8.56880e8i −0.228150 0.191440i
\(573\) −3.91528e9 1.42505e9i −0.869405 0.316437i
\(574\) 1.42548e8 + 5.18832e7i 0.0314608 + 0.0114508i
\(575\) −5.01565e8 4.20863e8i −0.110025 0.0923216i
\(576\) 1.97140e8 1.11804e9i 0.0429830 0.243769i
\(577\) −1.58854e9 + 9.00908e9i −0.344258 + 1.95238i −0.0421480 + 0.999111i \(0.513420\pi\)
−0.302110 + 0.953273i \(0.597691\pi\)
\(578\) −3.85203e7 6.67192e7i −0.00829741 0.0143715i
\(579\) −4.50723e9 + 3.78202e9i −0.965017 + 0.809746i
\(580\) −1.89520e9 + 6.89796e8i −0.403326 + 0.146799i
\(581\) 9.46481e8 1.63935e9i 0.200214 0.346782i
\(582\) 1.21021e7 + 2.09615e7i 0.00254466 + 0.00440749i
\(583\) 7.88437e8 + 6.61577e8i 0.164789 + 0.138274i
\(584\) 7.60300e7 1.31688e8i 0.0157958 0.0273590i
\(585\) 1.02836e7 + 5.83214e7i 0.00212374 + 0.0120443i
\(586\) −2.75445e6 −0.000565449
\(587\) 5.21486e8 + 2.95750e9i 0.106417 + 0.603519i 0.990645 + 0.136464i \(0.0435738\pi\)
−0.884228 + 0.467055i \(0.845315\pi\)
\(588\) 1.16401e9 9.76721e8i 0.236122 0.198130i
\(589\) −9.82586e9 3.57632e9i −1.98138 0.721162i
\(590\) −6.53883e7 + 2.37994e7i −0.0131074 + 0.00477072i
\(591\) −2.83269e9 −0.564474
\(592\) 3.52828e9 3.59073e9i 0.698935 0.711306i
\(593\) 9.00327e9 1.77300 0.886500 0.462729i \(-0.153130\pi\)
0.886500 + 0.462729i \(0.153130\pi\)
\(594\) −2.56706e8 + 9.34334e7i −0.0502555 + 0.0182915i
\(595\) 1.29080e9 + 4.69814e8i 0.251218 + 0.0914359i
\(596\) −1.63404e9 + 1.37112e9i −0.316156 + 0.265286i
\(597\) 1.53756e8 + 8.71994e8i 0.0295748 + 0.167727i
\(598\) −4.51063e6 −0.000862547
\(599\) 1.19586e9 + 6.78204e9i 0.227345 + 1.28934i 0.858151 + 0.513397i \(0.171613\pi\)
−0.630807 + 0.775940i \(0.717276\pi\)
\(600\) −1.29314e8 + 2.23979e8i −0.0244409 + 0.0423329i
\(601\) −3.45050e9 2.89531e9i −0.648367 0.544045i 0.258208 0.966089i \(-0.416868\pi\)
−0.906575 + 0.422045i \(0.861313\pi\)
\(602\) 1.32481e7 + 2.29464e7i 0.00247495 + 0.00428674i
\(603\) −7.33918e8 + 1.27118e9i −0.136313 + 0.236101i
\(604\) 6.01361e9 2.18877e9i 1.11047 0.404177i
\(605\) 1.83608e9 1.54065e9i 0.337091 0.282853i
\(606\) 1.73262e7 + 3.00099e7i 0.00316264 + 0.00547786i
\(607\) −4.89142e8 + 2.77406e9i −0.0887717 + 0.503449i 0.907707 + 0.419604i \(0.137831\pi\)
−0.996479 + 0.0838449i \(0.973280\pi\)
\(608\) −1.60157e8 + 9.08297e8i −0.0288991 + 0.163895i
\(609\) −4.76165e9 3.99550e9i −0.854274 0.716821i
\(610\) −3.68064e7 1.33964e7i −0.00656551 0.00238965i
\(611\) 1.63169e9 + 5.93887e8i 0.289397 + 0.105332i
\(612\) −1.34313e9 1.12702e9i −0.236858 0.198747i
\(613\) −1.22639e9 + 6.95522e9i −0.215039 + 1.21955i 0.665799 + 0.746131i \(0.268091\pi\)
−0.880838 + 0.473417i \(0.843020\pi\)
\(614\) 7.26208e6 4.11853e7i 0.00126611 0.00718047i
\(615\) 9.19209e8 + 1.59212e9i 0.159350 + 0.276002i
\(616\) 3.52276e8 2.95595e8i 0.0607226 0.0509523i
\(617\) 9.98110e9 3.63282e9i 1.71073 0.622653i 0.713753 0.700398i \(-0.246994\pi\)
0.996973 + 0.0777446i \(0.0247719\pi\)
\(618\) −1.28855e8 + 2.23184e8i −0.0219605 + 0.0380368i
\(619\) 2.49075e9 + 4.31410e9i 0.422097 + 0.731093i 0.996144 0.0877289i \(-0.0279609\pi\)
−0.574048 + 0.818822i \(0.694628\pi\)
\(620\) 1.40418e9 + 1.17825e9i 0.236620 + 0.198548i
\(621\) 4.99753e8 8.65598e8i 0.0837404 0.145043i
\(622\) −1.51967e7 8.61846e7i −0.00253211 0.0143603i
\(623\) 2.41117e9 0.399503
\(624\) −1.67043e8 9.47349e8i −0.0275222 0.156086i
\(625\) 3.69273e9 3.09857e9i 0.605017 0.507669i
\(626\) −7.33928e7 2.67128e7i −0.0119576 0.00435220i
\(627\) −1.49303e10 + 5.43420e9i −2.41899 + 0.880439i
\(628\) −4.94077e9 −0.796042
\(629\) −2.07417e9 7.47789e9i −0.332328 1.19812i
\(630\) −1.02099e7 −0.00162679
\(631\) 2.11001e9 7.67981e8i 0.334335 0.121688i −0.169397 0.985548i \(-0.554182\pi\)
0.503732 + 0.863860i \(0.331960\pi\)
\(632\) −2.23111e8 8.12057e7i −0.0351569 0.0127961i
\(633\) −5.62841e9 + 4.72279e9i −0.882008 + 0.740092i
\(634\) −5.19631e7 2.94697e8i −0.00809809 0.0459266i
\(635\) 2.20638e9 0.341957
\(636\) 1.29090e8 + 7.32104e8i 0.0198972 + 0.112843i
\(637\) −2.12944e8 + 3.68831e8i −0.0326421 + 0.0565378i
\(638\) 3.98105e8 + 3.34050e8i 0.0606911 + 0.0509259i
\(639\) −6.62761e7 1.14794e8i −0.0100486 0.0174046i
\(640\) 1.07771e8 1.86665e8i 0.0162507 0.0281470i
\(641\) −1.28319e8 + 4.67043e7i −0.0192437 + 0.00700412i −0.351624 0.936141i \(-0.614370\pi\)
0.332380 + 0.943145i \(0.392148\pi\)
\(642\) 3.87254e7 3.24945e7i 0.00577595 0.00484660i
\(643\) 3.78661e9 + 6.55860e9i 0.561710 + 0.972910i 0.997347 + 0.0727880i \(0.0231896\pi\)
−0.435637 + 0.900122i \(0.643477\pi\)
\(644\) −1.46017e8 + 8.28104e8i −0.0215429 + 0.122176i
\(645\) −5.57601e7 + 3.16231e8i −0.00818210 + 0.0464030i
\(646\) 3.62487e8 + 3.04163e8i 0.0529028 + 0.0443907i
\(647\) 2.37881e9 + 8.65816e8i 0.345299 + 0.125678i 0.508847 0.860857i \(-0.330072\pi\)
−0.163549 + 0.986535i \(0.552294\pi\)
\(648\) −2.72557e8 9.92026e7i −0.0393500 0.0143222i
\(649\) −1.48523e10 1.24626e10i −2.13274 1.78958i
\(650\) 6.29085e6 3.56772e7i 0.000898489 0.00509559i
\(651\) −9.81011e8 + 5.56359e9i −0.139361 + 0.790354i
\(652\) −4.26769e9 7.39185e9i −0.603012 1.04445i
\(653\) 1.63308e9 1.37031e9i 0.229515 0.192586i −0.520777 0.853693i \(-0.674358\pi\)
0.750291 + 0.661107i \(0.229913\pi\)
\(654\) −2.37838e8 + 8.65661e7i −0.0332476 + 0.0121011i
\(655\) 4.86123e8 8.41989e8i 0.0675930 0.117074i
\(656\) 4.94813e9 + 8.57042e9i 0.684350 + 1.18533i
\(657\) −7.20590e8 6.04647e8i −0.0991310 0.0831808i
\(658\) −1.49682e8 + 2.59256e8i −0.0204823 + 0.0354763i
\(659\) 1.54457e9 + 8.75972e9i 0.210237 + 1.19232i 0.888982 + 0.457941i \(0.151413\pi\)
−0.678745 + 0.734374i \(0.737476\pi\)
\(660\) 2.78527e9 0.377106
\(661\) 1.78478e9 + 1.01220e10i 0.240370 + 1.36320i 0.831004 + 0.556266i \(0.187766\pi\)
−0.590635 + 0.806939i \(0.701123\pi\)
\(662\) 2.72731e7 2.28849e7i 0.00365369 0.00306581i
\(663\) −1.39347e9 5.07182e8i −0.185695 0.0675875i
\(664\) −2.14935e8 + 7.82298e7i −0.0284917 + 0.0103701i
\(665\) −2.97953e9 −0.392891
\(666\) 3.34969e7 + 4.69564e7i 0.00439384 + 0.00615935i
\(667\) −1.90142e9 −0.248107
\(668\) −1.14949e10 + 4.18380e9i −1.49206 + 0.543067i
\(669\) 9.13854e9 + 3.32616e9i 1.18001 + 0.429488i
\(670\) −5.31973e7 + 4.46379e7i −0.00683326 + 0.00573379i
\(671\) −1.89510e9 1.07477e10i −0.242161 1.37336i
\(672\) 4.98305e8 0.0633436
\(673\) 5.81981e8 + 3.30058e9i 0.0735963 + 0.417386i 0.999240 + 0.0389884i \(0.0124135\pi\)
−0.925643 + 0.378397i \(0.876475\pi\)
\(674\) −1.24748e8 + 2.16070e8i −0.0156937 + 0.0271822i
\(675\) 6.14953e9 + 5.16007e9i 0.769624 + 0.645791i
\(676\) −3.87726e9 6.71561e9i −0.482738 0.836127i
\(677\) −7.06071e9 + 1.22295e10i −0.874556 + 1.51478i −0.0173218 + 0.999850i \(0.505514\pi\)
−0.857235 + 0.514926i \(0.827819\pi\)
\(678\) 2.09898e8 7.63968e7i 0.0258646 0.00941393i
\(679\) −9.68800e8 + 8.12920e8i −0.118765 + 0.0996560i
\(680\) −8.29895e7 1.43742e8i −0.0101214 0.0175308i
\(681\) −5.45678e8 + 3.09469e9i −0.0662096 + 0.375494i
\(682\) 8.20188e7 4.65152e8i 0.00990075 0.0561500i
\(683\) −1.17305e10 9.84306e9i −1.40878 1.18211i −0.957038 0.289963i \(-0.906357\pi\)
−0.451745 0.892147i \(-0.649198\pi\)
\(684\) 3.57374e9 + 1.30074e9i 0.426999 + 0.155415i
\(685\) 2.38050e9 + 8.66432e8i 0.282977 + 0.102995i
\(686\) −2.14247e8 1.79775e8i −0.0253385 0.0212615i
\(687\) 5.53786e7 3.14068e8i 0.00651618 0.0369551i
\(688\) −3.00159e8 + 1.70228e9i −0.0351392 + 0.199284i
\(689\) −1.04180e8 1.80445e8i −0.0121344 0.0210173i
\(690\) 7.21949e6 6.05787e6i 0.000836632 0.000702018i
\(691\) −5.72962e9 + 2.08541e9i −0.660622 + 0.240447i −0.650505 0.759502i \(-0.725443\pi\)
−0.0101171 + 0.999949i \(0.503220\pi\)
\(692\) 5.80359e9 1.00521e10i 0.665772 1.15315i
\(693\) −1.42239e9 2.46365e9i −0.162350 0.281198i
\(694\) 6.13246e7 + 5.14575e7i 0.00696429 + 0.00584373i
\(695\) 2.40693e8 4.16893e8i 0.0271968 0.0471062i
\(696\) 1.30423e8 + 7.39663e8i 0.0146629 + 0.0831576i
\(697\) 1.52554e10 1.70652
\(698\) 2.38283e7 + 1.35137e8i 0.00265216 + 0.0150411i
\(699\) 8.69944e9 7.29970e9i 0.963433 0.808416i
\(700\) −6.34632e9 2.30987e9i −0.699324 0.254533i
\(701\) 3.60156e9 1.31086e9i 0.394891 0.143729i −0.136939 0.990579i \(-0.543727\pi\)
0.531831 + 0.846851i \(0.321504\pi\)
\(702\) 5.53034e7 0.00603354
\(703\) 9.77528e9 + 1.37031e10i 1.06117 + 1.48756i
\(704\) 1.49654e10 1.61653
\(705\) −3.40921e9 + 1.24085e9i −0.366431 + 0.133370i
\(706\) 1.76839e8 + 6.43642e7i 0.0189131 + 0.00688380i
\(707\) −1.38700e9 + 1.16383e9i −0.147608 + 0.123858i
\(708\) −2.43174e9 1.37911e10i −0.257514 1.46044i
\(709\) 7.55789e9 0.796413 0.398207 0.917296i \(-0.369633\pi\)
0.398207 + 0.917296i \(0.369633\pi\)
\(710\) −1.08897e6 6.17585e6i −0.000114186 0.000647579i
\(711\) −7.34385e8 + 1.27199e9i −0.0766268 + 0.132721i
\(712\) −2.23183e8 1.87273e8i −0.0231729 0.0194444i
\(713\) 8.64069e8 + 1.49661e9i 0.0892761 + 0.154631i
\(714\) 1.27829e8 2.21405e8i 0.0131427 0.0227638i
\(715\) −7.33578e8 + 2.67001e8i −0.0750543 + 0.0273175i
\(716\) −6.30883e8 + 5.29374e8i −0.0642323 + 0.0538973i
\(717\) 1.03230e9 + 1.78799e9i 0.104590 + 0.181154i
\(718\) 7.47511e7 4.23935e8i 0.00753672 0.0427429i
\(719\) 2.88440e9 1.63582e10i 0.289404 1.64129i −0.399714 0.916640i \(-0.630891\pi\)
0.689118 0.724649i \(-0.257998\pi\)
\(720\) −5.10238e8 4.28141e8i −0.0509459 0.0427487i
\(721\) −1.26534e10 4.60547e9i −1.25729 0.457615i
\(722\) −6.75629e8 2.45909e8i −0.0668079 0.0243161i
\(723\) −7.30798e9 6.13212e9i −0.719139 0.603430i
\(724\) −1.63184e9 + 9.25463e9i −0.159806 + 0.906305i
\(725\) 2.65186e9 1.50395e10i 0.258445 1.46572i
\(726\) −2.23044e8 3.86323e8i −0.0216328 0.0374690i
\(727\) 5.85239e9 4.91074e9i 0.564889 0.473998i −0.315056 0.949073i \(-0.602023\pi\)
0.879945 + 0.475075i \(0.157579\pi\)
\(728\) −8.74815e7 + 3.18407e7i −0.00840343 + 0.00305860i
\(729\) −5.80328e9 + 1.00516e10i −0.554788 + 0.960921i
\(730\) −2.22517e7 3.85410e7i −0.00211706 0.00366685i
\(731\) 2.04121e9 + 1.71278e9i 0.193276 + 0.162178i
\(732\) 3.94131e9 6.82655e9i 0.371409 0.643299i
\(733\) −7.00869e8 3.97483e9i −0.0657314 0.372781i −0.999874 0.0158811i \(-0.994945\pi\)
0.934142 0.356900i \(-0.116166\pi\)
\(734\) 3.24518e8 0.0302902
\(735\) −1.54519e8 8.76321e8i −0.0143541 0.0814062i
\(736\) 1.16768e8 9.79801e7i 0.0107957 0.00905869i
\(737\) −1.81822e10 6.61779e9i −1.67306 0.608943i
\(738\) −1.06551e8 + 3.87815e7i −0.00975802 + 0.00355163i
\(739\) 1.81101e10 1.65069 0.825343 0.564631i \(-0.190982\pi\)
0.825343 + 0.564631i \(0.190982\pi\)
\(740\) −7.88681e8 2.84339e9i −0.0715468 0.257944i
\(741\) 3.21651e9 0.290417
\(742\) 3.37556e7 1.22860e7i 0.00303342 0.00110407i
\(743\) 1.25479e10 + 4.56708e9i 1.12231 + 0.408486i 0.835494 0.549500i \(-0.185182\pi\)
0.286814 + 0.957986i \(0.407404\pi\)
\(744\) 5.22921e8 4.38783e8i 0.0465512 0.0390611i
\(745\) 2.16914e8 + 1.23018e9i 0.0192194 + 0.108999i
\(746\) −2.48060e8 −0.0218762
\(747\) 2.45703e8 + 1.39345e9i 0.0215669 + 0.122312i
\(748\) 1.15563e10 2.00161e10i 1.00963 1.74873i
\(749\) 2.02342e9 + 1.69785e9i 0.175954 + 0.147643i
\(750\) 7.86198e7 + 1.36174e8i 0.00680483 + 0.0117863i
\(751\) −4.88877e9 + 8.46761e9i −0.421173 + 0.729493i −0.996054 0.0887439i \(-0.971715\pi\)
0.574882 + 0.818237i \(0.305048\pi\)
\(752\) −1.83519e10 + 6.67954e9i −1.57369 + 0.572775i
\(753\) −8.75131e9 + 7.34322e9i −0.746948 + 0.626764i
\(754\) −5.26035e7 9.11120e7i −0.00446905 0.00774062i
\(755\) 6.50770e8 3.69070e9i 0.0550318 0.312101i
\(756\) 1.79027e9 1.01531e10i 0.150693 0.854621i
\(757\) 7.25729e8 + 6.08959e8i 0.0608050 + 0.0510214i 0.672684 0.739930i \(-0.265141\pi\)
−0.611879 + 0.790952i \(0.709586\pi\)
\(758\) 6.46674e8 + 2.35370e8i 0.0539316 + 0.0196295i
\(759\) 2.46754e9 + 8.98110e8i 0.204841 + 0.0745561i
\(760\) 2.75791e8 + 2.31416e8i 0.0227894 + 0.0191226i
\(761\) −1.32097e9 + 7.49159e9i −0.108654 + 0.616209i 0.881043 + 0.473035i \(0.156842\pi\)
−0.989698 + 0.143173i \(0.954269\pi\)
\(762\) 7.13071e7 4.04403e8i 0.00583835 0.0331109i
\(763\) −6.61235e9 1.14529e10i −0.538914 0.933427i
\(764\)