Properties

Label 37.8.f.a.7.18
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 7.18
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.18

$q$-expansion

\(f(q)\) \(=\) \(q+(14.2134 - 5.17327i) q^{2} +(-80.6447 - 29.3523i) q^{3} +(77.2054 - 64.7830i) q^{4} +(-48.8700 - 277.155i) q^{5} -1298.08 q^{6} +(203.583 + 1154.58i) q^{7} +(-205.826 + 356.501i) q^{8} +(3966.67 + 3328.43i) q^{9} +O(q^{10})\) \(q+(14.2134 - 5.17327i) q^{2} +(-80.6447 - 29.3523i) q^{3} +(77.2054 - 64.7830i) q^{4} +(-48.8700 - 277.155i) q^{5} -1298.08 q^{6} +(203.583 + 1154.58i) q^{7} +(-205.826 + 356.501i) q^{8} +(3966.67 + 3328.43i) q^{9} +(-2128.41 - 3686.51i) q^{10} +(499.193 - 864.628i) q^{11} +(-8127.73 + 2958.25i) q^{12} +(-5873.30 + 4928.29i) q^{13} +(8866.55 + 15357.3i) q^{14} +(-4194.03 + 23785.5i) q^{15} +(-3321.35 + 18836.3i) q^{16} +(-24488.8 - 20548.6i) q^{17} +(73598.8 + 26787.8i) q^{18} +(-29402.6 - 10701.7i) q^{19} +(-21728.0 - 18231.9i) q^{20} +(17471.6 - 99086.1i) q^{21} +(2622.30 - 14871.8i) q^{22} +(30776.7 + 53306.9i) q^{23} +(27062.9 - 22708.4i) q^{24} +(-1013.30 + 368.811i) q^{25} +(-57984.5 + 100432. i) q^{26} +(-128349. - 222307. i) q^{27} +(90514.7 + 75950.9i) q^{28} +(-66929.0 + 115924. i) q^{29} +(63437.3 + 359771. i) q^{30} +10367.2 q^{31} +(41087.7 + 233020. i) q^{32} +(-65636.0 + 55075.2i) q^{33} +(-454374. - 165379. i) q^{34} +(310048. - 112848. i) q^{35} +521874. q^{36} +(-178361. - 251235. i) q^{37} -473275. q^{38} +(618307. - 225045. i) q^{39} +(108865. + 39623.5i) q^{40} +(-508537. + 426713. i) q^{41} +(-264268. - 1.49874e6i) q^{42} -521321. q^{43} +(-17472.8 - 99093.2i) q^{44} +(728641. - 1.26204e6i) q^{45} +(713214. + 598457. i) q^{46} +(57250.0 + 99160.0i) q^{47} +(820738. - 1.42156e6i) q^{48} +(-517725. + 188437. i) q^{49} +(-12494.5 + 10484.1i) q^{50} +(1.37175e6 + 2.37594e6i) q^{51} +(-134181. + 760981. i) q^{52} +(301791. - 1.71154e6i) q^{53} +(-2.97434e6 - 2.49577e6i) q^{54} +(-264032. - 96099.7i) q^{55} +(-453510. - 165064. i) q^{56} +(2.05705e6 + 1.72607e6i) q^{57} +(-351583. + 1.99393e6i) q^{58} +(-79514.8 + 450951. i) q^{59} +(1.21710e6 + 2.10807e6i) q^{60} +(-820360. + 688363. i) q^{61} +(147354. - 53632.5i) q^{62} +(-3.03538e6 + 5.25744e6i) q^{63} +(565352. + 979219. i) q^{64} +(1.65293e6 + 1.38697e6i) q^{65} +(-647995. + 1.12236e6i) q^{66} +(-419393. - 2.37850e6i) q^{67} -3.22187e6 q^{68} +(-917302. - 5.20228e6i) q^{69} +(3.82305e6 - 3.20792e6i) q^{70} +(2.46507e6 + 897214. i) q^{71} +(-2.00303e6 + 729043. i) q^{72} -2.31956e6 q^{73} +(-3.83484e6 - 2.64820e6i) q^{74} +92542.6 q^{75} +(-2.96333e6 + 1.07856e6i) q^{76} +(1.09991e6 + 400333. i) q^{77} +(7.62405e6 - 6.39733e6i) q^{78} +(112891. + 640234. i) q^{79} +5.38290e6 q^{80} +(1.85897e6 + 1.05427e7i) q^{81} +(-5.02056e6 + 8.69586e6i) q^{82} +(7.58406e6 + 6.36378e6i) q^{83} +(-5.07020e6 - 8.78184e6i) q^{84} +(-4.49838e6 + 7.79142e6i) q^{85} +(-7.40976e6 + 2.69693e6i) q^{86} +(8.80011e6 - 7.38417e6i) q^{87} +(205494. + 355925. i) q^{88} +(1.51407e6 - 8.58672e6i) q^{89} +(3.82760e6 - 2.17074e7i) q^{90} +(-6.88579e6 - 5.77787e6i) q^{91} +(5.82951e6 + 2.12177e6i) q^{92} +(-836062. - 304302. i) q^{93} +(1.32670e6 + 1.11323e6i) q^{94} +(-1.52912e6 + 8.67208e6i) q^{95} +(3.52616e6 - 1.99979e7i) q^{96} +(-1.69022e6 - 2.92756e6i) q^{97} +(-6.38382e6 + 5.35666e6i) q^{98} +(4.85798e6 - 1.76816e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q + 15q^{2} + 33q^{3} - 279q^{4} + 576q^{5} - 12q^{6} - 597q^{7} - 3750q^{8} - 3243q^{9} + O(q^{10}) \) \( 132q + 15q^{2} + 33q^{3} - 279q^{4} + 576q^{5} - 12q^{6} - 597q^{7} - 3750q^{8} - 3243q^{9} - 6003q^{10} - 15975q^{11} - 4635q^{12} - 15981q^{13} - 13491q^{14} + 38493q^{15} - 74151q^{16} + 37698q^{17} - 20100q^{18} - 66102q^{19} - 176184q^{20} - 142530q^{21} + 132783q^{22} + 140631q^{23} - 38793q^{24} - 544092q^{25} - 423147q^{26} + 130557q^{27} + 603813q^{28} + 22890q^{29} - 319860q^{30} - 1288044q^{31} - 217866q^{32} + 112344q^{33} + 812019q^{34} + 1479252q^{35} + 8118132q^{36} - 1664550q^{37} + 305010q^{38} - 1580340q^{39} - 4681425q^{40} - 2956593q^{41} - 3553029q^{42} - 1023528q^{43} + 6409524q^{44} + 1803336q^{45} + 10219434q^{46} - 2607204q^{47} - 2984043q^{48} - 6819531q^{49} + 5724015q^{50} - 1675833q^{51} + 11768451q^{52} + 2280177q^{53} - 7803897q^{54} - 3542196q^{55} + 12168843q^{56} - 85203q^{57} - 12425487q^{58} - 7014600q^{59} + 2356788q^{60} + 10840332q^{61} + 6334368q^{62} - 3331359q^{63} - 26175624q^{64} - 573195q^{65} - 36720249q^{66} + 6642918q^{67} - 25277742q^{68} - 1236438q^{69} - 27401982q^{70} + 20311041q^{71} + 40093005q^{72} + 38643780q^{73} - 9531q^{74} + 16639446q^{75} + 5787405q^{76} - 316971q^{77} + 9363381q^{78} + 17712534q^{79} - 74410128q^{80} - 10355109q^{81} - 16702371q^{82} - 31021176q^{83} - 61626192q^{84} + 23576445q^{85} + 18579072q^{86} + 104996631q^{87} + 57279702q^{88} - 13471320q^{89} + 56306910q^{90} - 2335911q^{91} - 178133436q^{92} + 24366258q^{93} + 77086020q^{94} - 26254407q^{95} + 152523921q^{96} + 14408415q^{97} - 521205q^{98} + 58375668q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 14.2134 5.17327i 1.25630 0.457257i 0.373776 0.927519i \(-0.378063\pi\)
0.882527 + 0.470263i \(0.155841\pi\)
\(3\) −80.6447 29.3523i −1.72445 0.627649i −0.726241 0.687440i \(-0.758735\pi\)
−0.998211 + 0.0597904i \(0.980957\pi\)
\(4\) 77.2054 64.7830i 0.603167 0.506117i
\(5\) −48.8700 277.155i −0.174842 0.991581i −0.938326 0.345753i \(-0.887623\pi\)
0.763483 0.645828i \(-0.223488\pi\)
\(6\) −1298.08 −2.45343
\(7\) 203.583 + 1154.58i 0.224336 + 1.27227i 0.863951 + 0.503576i \(0.167983\pi\)
−0.639615 + 0.768695i \(0.720906\pi\)
\(8\) −205.826 + 356.501i −0.142130 + 0.246176i
\(9\) 3966.67 + 3328.43i 1.81375 + 1.52192i
\(10\) −2128.41 3686.51i −0.673062 1.16578i
\(11\) 499.193 864.628i 0.113082 0.195864i −0.803929 0.594725i \(-0.797261\pi\)
0.917011 + 0.398861i \(0.130594\pi\)
\(12\) −8127.73 + 2958.25i −1.35780 + 0.494198i
\(13\) −5873.30 + 4928.29i −0.741448 + 0.622149i −0.933226 0.359290i \(-0.883019\pi\)
0.191778 + 0.981438i \(0.438575\pi\)
\(14\) 8866.55 + 15357.3i 0.863588 + 1.49578i
\(15\) −4194.03 + 23785.5i −0.320858 + 1.81967i
\(16\) −3321.35 + 18836.3i −0.202719 + 1.14968i
\(17\) −24488.8 20548.6i −1.20892 1.01440i −0.999329 0.0366138i \(-0.988343\pi\)
−0.209589 0.977790i \(-0.567213\pi\)
\(18\) 73598.8 + 26787.8i 2.97452 + 1.08264i
\(19\) −29402.6 10701.7i −0.983441 0.357943i −0.200264 0.979742i \(-0.564180\pi\)
−0.783177 + 0.621799i \(0.786402\pi\)
\(20\) −21728.0 18231.9i −0.607316 0.509598i
\(21\) 17471.6 99086.1i 0.411684 2.33478i
\(22\) 2622.30 14871.8i 0.0525052 0.297772i
\(23\) 30776.7 + 53306.9i 0.527442 + 0.913557i 0.999488 + 0.0319831i \(0.0101823\pi\)
−0.472046 + 0.881574i \(0.656484\pi\)
\(24\) 27062.9 22708.4i 0.399608 0.335311i
\(25\) −1013.30 + 368.811i −0.0129702 + 0.00472078i
\(26\) −57984.5 + 100432.i −0.647001 + 1.12064i
\(27\) −128349. 222307.i −1.25493 2.17360i
\(28\) 90514.7 + 75950.9i 0.779231 + 0.653852i
\(29\) −66929.0 + 115924.i −0.509590 + 0.882636i 0.490348 + 0.871527i \(0.336870\pi\)
−0.999938 + 0.0111096i \(0.996464\pi\)
\(30\) 63437.3 + 359771.i 0.428964 + 2.43277i
\(31\) 10367.2 0.0625024 0.0312512 0.999512i \(-0.490051\pi\)
0.0312512 + 0.999512i \(0.490051\pi\)
\(32\) 41087.7 + 233020.i 0.221660 + 1.25710i
\(33\) −65636.0 + 55075.2i −0.317939 + 0.266782i
\(34\) −454374. 165379.i −1.98261 0.721611i
\(35\) 310048. 112848.i 1.22234 0.444894i
\(36\) 521874. 1.86426
\(37\) −178361. 251235.i −0.578889 0.815407i
\(38\) −473275. −1.39917
\(39\) 618307. 225045.i 1.66908 0.607497i
\(40\) 108865. + 39623.5i 0.268954 + 0.0978911i
\(41\) −508537. + 426713.i −1.15234 + 0.966925i −0.999772 0.0213687i \(-0.993198\pi\)
−0.152564 + 0.988294i \(0.548753\pi\)
\(42\) −264268. 1.49874e6i −0.550392 3.12143i
\(43\) −521321. −0.999920 −0.499960 0.866048i \(-0.666652\pi\)
−0.499960 + 0.866048i \(0.666652\pi\)
\(44\) −17472.8 99093.2i −0.0309227 0.175372i
\(45\) 728641. 1.26204e6i 1.19198 2.06457i
\(46\) 713214. + 598457.i 1.08036 + 0.906527i
\(47\) 57250.0 + 99160.0i 0.0804328 + 0.139314i 0.903436 0.428723i \(-0.141036\pi\)
−0.823003 + 0.568037i \(0.807703\pi\)
\(48\) 820738. 1.42156e6i 1.07117 1.85533i
\(49\) −517725. + 188437.i −0.628656 + 0.228812i
\(50\) −12494.5 + 10484.1i −0.0141359 + 0.0118615i
\(51\) 1.37175e6 + 2.37594e6i 1.44803 + 2.50807i
\(52\) −134181. + 760981.i −0.132337 + 0.750519i
\(53\) 301791. 1.71154e6i 0.278446 1.57914i −0.449353 0.893354i \(-0.648346\pi\)
0.727799 0.685790i \(-0.240543\pi\)
\(54\) −2.97434e6 2.49577e6i −2.57047 2.15688i
\(55\) −264032. 96099.7i −0.213987 0.0778848i
\(56\) −453510. 165064.i −0.345087 0.125602i
\(57\) 2.05705e6 + 1.72607e6i 1.47123 + 1.23451i
\(58\) −351583. + 1.99393e6i −0.236608 + 1.34187i
\(59\) −79514.8 + 450951.i −0.0504041 + 0.285856i −0.999583 0.0288816i \(-0.990805\pi\)
0.949179 + 0.314738i \(0.101917\pi\)
\(60\) 1.21710e6 + 2.10807e6i 0.727438 + 1.25996i
\(61\) −820360. + 688363.i −0.462754 + 0.388296i −0.844143 0.536118i \(-0.819890\pi\)
0.381389 + 0.924414i \(0.375446\pi\)
\(62\) 147354. 53632.5i 0.0785219 0.0285797i
\(63\) −3.03538e6 + 5.25744e6i −1.52940 + 2.64900i
\(64\) 565352. + 979219.i 0.269581 + 0.466928i
\(65\) 1.65293e6 + 1.38697e6i 0.746547 + 0.626428i
\(66\) −647995. + 1.12236e6i −0.277439 + 0.480539i
\(67\) −419393. 2.37850e6i −0.170357 0.966141i −0.943368 0.331748i \(-0.892361\pi\)
0.773011 0.634392i \(-0.218750\pi\)
\(68\) −3.22187e6 −1.24259
\(69\) −917302. 5.20228e6i −0.336156 1.90643i
\(70\) 3.82305e6 3.20792e6i 1.33219 1.11784i
\(71\) 2.46507e6 + 897214.i 0.817384 + 0.297503i 0.716670 0.697412i \(-0.245665\pi\)
0.100713 + 0.994915i \(0.467888\pi\)
\(72\) −2.00303e6 + 729043.i −0.632446 + 0.230192i
\(73\) −2.31956e6 −0.697871 −0.348935 0.937147i \(-0.613457\pi\)
−0.348935 + 0.937147i \(0.613457\pi\)
\(74\) −3.83484e6 2.64820e6i −1.10011 0.759697i
\(75\) 92542.6 0.0253295
\(76\) −2.96333e6 + 1.07856e6i −0.774341 + 0.281837i
\(77\) 1.09991e6 + 400333.i 0.274561 + 0.0999319i
\(78\) 7.62405e6 6.39733e6i 1.81909 1.52640i
\(79\) 112891. + 640234.i 0.0257610 + 0.146098i 0.994975 0.100121i \(-0.0319229\pi\)
−0.969214 + 0.246219i \(0.920812\pi\)
\(80\) 5.38290e6 1.17544
\(81\) 1.85897e6 + 1.05427e7i 0.388664 + 2.20422i
\(82\) −5.02056e6 + 8.69586e6i −1.00555 + 1.74166i
\(83\) 7.58406e6 + 6.36378e6i 1.45589 + 1.22164i 0.928137 + 0.372238i \(0.121409\pi\)
0.527752 + 0.849399i \(0.323035\pi\)
\(84\) −5.07020e6 8.78184e6i −0.933356 1.61662i
\(85\) −4.49838e6 + 7.79142e6i −0.794493 + 1.37610i
\(86\) −7.40976e6 + 2.69693e6i −1.25620 + 0.457220i
\(87\) 8.80011e6 7.38417e6i 1.43275 1.20222i
\(88\) 205494. + 355925.i 0.0321447 + 0.0556762i
\(89\) 1.51407e6 8.58672e6i 0.227657 1.29111i −0.629883 0.776690i \(-0.716897\pi\)
0.857540 0.514417i \(-0.171992\pi\)
\(90\) 3.82760e6 2.17074e7i 0.553450 3.13877i
\(91\) −6.88579e6 5.77787e6i −0.957876 0.803753i
\(92\) 5.82951e6 + 2.12177e6i 0.780503 + 0.284080i
\(93\) −836062. 304302.i −0.107782 0.0392296i
\(94\) 1.32670e6 + 1.11323e6i 0.164750 + 0.138242i
\(95\) −1.52912e6 + 8.67208e6i −0.182982 + 1.03775i
\(96\) 3.52616e6 1.99979e7i 0.406774 2.30693i
\(97\) −1.69022e6 2.92756e6i −0.188037 0.325690i 0.756559 0.653926i \(-0.226879\pi\)
−0.944596 + 0.328236i \(0.893546\pi\)
\(98\) −6.38382e6 + 5.35666e6i −0.685156 + 0.574914i
\(99\) 4.85798e6 1.76816e6i 0.503191 0.183147i
\(100\) −54339.5 + 94118.8i −0.00543395 + 0.00941188i
\(101\) 2.46127e6 + 4.26304e6i 0.237703 + 0.411713i 0.960055 0.279812i \(-0.0902723\pi\)
−0.722352 + 0.691526i \(0.756939\pi\)
\(102\) 3.17886e7 + 2.66738e7i 2.96600 + 2.48877i
\(103\) −1.59546e6 + 2.76341e6i −0.143865 + 0.249181i −0.928949 0.370208i \(-0.879286\pi\)
0.785084 + 0.619389i \(0.212620\pi\)
\(104\) −548060. 3.10821e6i −0.0477762 0.270952i
\(105\) −2.83161e7 −2.38710
\(106\) −4.56478e6 2.58881e7i −0.372262 2.11120i
\(107\) 1.19427e7 1.00211e7i 0.942448 0.790808i −0.0355613 0.999367i \(-0.511322\pi\)
0.978010 + 0.208559i \(0.0668775\pi\)
\(108\) −2.43110e7 8.84847e6i −1.85703 0.675904i
\(109\) −9.64793e6 + 3.51156e6i −0.713578 + 0.259721i −0.673197 0.739463i \(-0.735079\pi\)
−0.0403810 + 0.999184i \(0.512857\pi\)
\(110\) −4.24995e6 −0.304445
\(111\) 7.00958e6 + 2.54961e7i 0.486476 + 1.76947i
\(112\) −2.24242e7 −1.50818
\(113\) −1.91435e7 + 6.96768e6i −1.24809 + 0.454269i −0.879757 0.475423i \(-0.842295\pi\)
−0.368337 + 0.929692i \(0.620073\pi\)
\(114\) 3.81671e7 + 1.38917e7i 2.41280 + 0.878189i
\(115\) 1.32702e7 1.11350e7i 0.813646 0.682730i
\(116\) 2.34265e6 + 1.32858e7i 0.139349 + 0.790290i
\(117\) −3.97009e7 −2.29166
\(118\) 1.20271e6 + 6.82092e6i 0.0673867 + 0.382169i
\(119\) 1.87394e7 3.24576e7i 1.01939 1.76564i
\(120\) −7.61632e6 6.39085e6i −0.402356 0.337617i
\(121\) 9.24520e6 + 1.60132e7i 0.474425 + 0.821728i
\(122\) −8.09904e6 + 1.40280e7i −0.403807 + 0.699415i
\(123\) 5.35358e7 1.94854e7i 2.59404 0.944153i
\(124\) 800406. 671621.i 0.0376994 0.0316336i
\(125\) −1.08417e7 1.87783e7i −0.496490 0.859946i
\(126\) −1.59451e7 + 9.04291e7i −0.710117 + 4.02727i
\(127\) 3.95350e6 2.24214e7i 0.171265 0.971293i −0.771102 0.636712i \(-0.780294\pi\)
0.942367 0.334581i \(-0.108595\pi\)
\(128\) −1.00996e7 8.47457e6i −0.425666 0.357177i
\(129\) 4.20417e7 + 1.53019e7i 1.72431 + 0.627599i
\(130\) 3.06690e7 + 1.11626e7i 1.22433 + 0.445619i
\(131\) 1.76816e7 + 1.48366e7i 0.687182 + 0.576614i 0.918095 0.396360i \(-0.129727\pi\)
−0.230913 + 0.972974i \(0.574171\pi\)
\(132\) −1.49952e6 + 8.50420e6i −0.0567471 + 0.321829i
\(133\) 6.37004e6 3.61263e7i 0.234780 1.33150i
\(134\) −1.82656e7 3.16370e7i −0.655794 1.13587i
\(135\) −5.53412e7 + 4.64368e7i −1.93589 + 1.62440i
\(136\) 1.23660e7 4.50086e6i 0.421545 0.153430i
\(137\) −2.21499e7 + 3.83648e7i −0.735954 + 1.27471i 0.218350 + 0.975871i \(0.429933\pi\)
−0.954304 + 0.298839i \(0.903401\pi\)
\(138\) −3.99508e7 6.91968e7i −1.29404 2.24135i
\(139\) 1.61347e6 + 1.35386e6i 0.0509575 + 0.0427584i 0.667911 0.744241i \(-0.267189\pi\)
−0.616953 + 0.787000i \(0.711633\pi\)
\(140\) 1.66267e7 2.87983e7i 0.512105 0.886992i
\(141\) −1.70634e6 9.67714e6i −0.0512624 0.290723i
\(142\) 3.96787e7 1.16292
\(143\) 1.32922e6 + 7.53839e6i 0.0380120 + 0.215577i
\(144\) −7.58700e7 + 6.36625e7i −2.11739 + 1.77670i
\(145\) 3.53999e7 + 1.28845e7i 0.964303 + 0.350978i
\(146\) −3.29689e7 + 1.19997e7i −0.876736 + 0.319106i
\(147\) 4.72828e7 1.22770
\(148\) −3.00462e7 7.84191e6i −0.761858 0.198841i
\(149\) 7.40976e6 0.183507 0.0917535 0.995782i \(-0.470753\pi\)
0.0917535 + 0.995782i \(0.470753\pi\)
\(150\) 1.31535e6 478748.i 0.0318216 0.0115821i
\(151\) −1.93565e7 7.04519e6i −0.457517 0.166523i 0.102972 0.994684i \(-0.467165\pi\)
−0.560490 + 0.828162i \(0.689387\pi\)
\(152\) 9.86697e6 8.27937e6i 0.227893 0.191225i
\(153\) −2.87446e7 1.63019e8i −0.648838 3.67974i
\(154\) 1.77045e7 0.390626
\(155\) −506646. 2.87333e6i −0.0109281 0.0619762i
\(156\) 3.31575e7 5.74305e7i 0.699271 1.21117i
\(157\) −2.59588e7 2.17820e7i −0.535347 0.449209i 0.334596 0.942362i \(-0.391400\pi\)
−0.869943 + 0.493152i \(0.835845\pi\)
\(158\) 4.91667e6 + 8.51591e6i 0.0991678 + 0.171764i
\(159\) −7.45754e7 + 1.29168e8i −1.47132 + 2.54839i
\(160\) 6.25748e7 2.27754e7i 1.20776 0.439588i
\(161\) −5.52813e7 + 4.63865e7i −1.04397 + 0.875994i
\(162\) 8.09627e7 + 1.40232e8i 1.49618 + 2.59145i
\(163\) 1.14735e7 6.50694e7i 0.207510 1.17685i −0.685931 0.727667i \(-0.740605\pi\)
0.893441 0.449181i \(-0.148284\pi\)
\(164\) −1.16180e7 + 6.58891e7i −0.205674 + 1.16643i
\(165\) 1.84720e7 + 1.54999e7i 0.320125 + 0.268617i
\(166\) 1.40717e8 + 5.12168e7i 2.38764 + 0.869029i
\(167\) −5.30604e7 1.93124e7i −0.881583 0.320870i −0.138734 0.990330i \(-0.544303\pi\)
−0.742848 + 0.669460i \(0.766526\pi\)
\(168\) 3.17282e7 + 2.66231e7i 0.516253 + 0.433188i
\(169\) −688484. + 3.90459e6i −0.0109721 + 0.0622260i
\(170\) −2.36303e7 + 1.34014e8i −0.368891 + 2.09209i
\(171\) −8.10106e7 1.40315e8i −1.23896 2.14593i
\(172\) −4.02488e7 + 3.37727e7i −0.603119 + 0.506077i
\(173\) −3.91011e7 + 1.42316e7i −0.574152 + 0.208974i −0.612745 0.790281i \(-0.709935\pi\)
0.0385927 + 0.999255i \(0.487712\pi\)
\(174\) 8.68795e7 1.50480e8i 1.25024 2.16549i
\(175\) −632111. 1.09485e6i −0.00891580 0.0154426i
\(176\) 1.46284e7 + 1.22747e7i 0.202257 + 0.169713i
\(177\) 1.96489e7 3.40329e7i 0.266337 0.461309i
\(178\) −2.29013e7 1.29880e8i −0.304361 1.72612i
\(179\) −4.12495e7 −0.537567 −0.268784 0.963201i \(-0.586622\pi\)
−0.268784 + 0.963201i \(0.586622\pi\)
\(180\) −2.55039e7 1.44640e8i −0.325952 1.84857i
\(181\) 7.33708e7 6.15654e7i 0.919704 0.771723i −0.0542362 0.998528i \(-0.517272\pi\)
0.973940 + 0.226805i \(0.0728279\pi\)
\(182\) −1.27761e8 4.65013e7i −1.57090 0.571762i
\(183\) 8.63626e7 3.14334e7i 1.04171 0.379152i
\(184\) −2.53386e7 −0.299861
\(185\) −6.09146e7 + 6.17117e7i −0.707327 + 0.716583i
\(186\) −1.34575e7 −0.153345
\(187\) −2.99915e7 + 1.09160e7i −0.335392 + 0.122073i
\(188\) 1.08439e7 + 3.94685e6i 0.119024 + 0.0433210i
\(189\) 2.30541e8 1.93447e8i 2.48389 2.08423i
\(190\) 2.31289e7 + 1.31171e8i 0.244635 + 1.38739i
\(191\) 1.52606e8 1.58473 0.792365 0.610047i \(-0.208849\pi\)
0.792365 + 0.610047i \(0.208849\pi\)
\(192\) −1.68504e7 9.55631e7i −0.171813 0.974397i
\(193\) −2.75119e7 + 4.76520e7i −0.275467 + 0.477123i −0.970253 0.242094i \(-0.922166\pi\)
0.694786 + 0.719217i \(0.255499\pi\)
\(194\) −3.91689e7 3.28666e7i −0.385155 0.323183i
\(195\) −9.25891e7 1.60369e8i −0.894209 1.54881i
\(196\) −2.77637e7 + 4.80881e7i −0.263379 + 0.456186i
\(197\) −1.15011e8 + 4.18607e7i −1.07179 + 0.390099i −0.816845 0.576857i \(-0.804279\pi\)
−0.254943 + 0.966956i \(0.582057\pi\)
\(198\) 5.99015e7 5.02633e7i 0.548415 0.460175i
\(199\) 8.19319e7 + 1.41910e8i 0.737000 + 1.27652i 0.953840 + 0.300314i \(0.0970915\pi\)
−0.216840 + 0.976207i \(0.569575\pi\)
\(200\) 77081.9 437153.i 0.000681314 0.00386392i
\(201\) −3.59924e7 + 2.04123e8i −0.312626 + 1.77299i
\(202\) 5.70369e7 + 4.78597e7i 0.486885 + 0.408545i
\(203\) −1.47469e8 5.36744e7i −1.23727 0.450330i
\(204\) 2.59827e8 + 9.45692e7i 2.14278 + 0.779909i
\(205\) 1.43118e8 + 1.20090e8i 1.16026 + 0.973575i
\(206\) −8.38106e6 + 4.75314e7i −0.0667980 + 0.378830i
\(207\) −5.53470e7 + 3.13889e8i −0.433709 + 2.45968i
\(208\) −7.33235e7 1.27000e8i −0.564965 0.978548i
\(209\) −2.39306e7 + 2.00801e7i −0.181318 + 0.152144i
\(210\) −4.02469e8 + 1.46487e8i −2.99892 + 1.09152i
\(211\) −3.33197e7 + 5.77114e7i −0.244181 + 0.422934i −0.961901 0.273398i \(-0.911853\pi\)
0.717720 + 0.696332i \(0.245186\pi\)
\(212\) −8.75789e7 1.51691e8i −0.631283 1.09341i
\(213\) −1.72460e8 1.44711e8i −1.22281 1.02606i
\(214\) 1.17904e8 2.04216e8i 0.822398 1.42443i
\(215\) 2.54769e7 + 1.44487e8i 0.174829 + 0.991502i
\(216\) 1.05670e8 0.713452
\(217\) 2.11059e6 + 1.19698e7i 0.0140215 + 0.0795201i
\(218\) −1.18964e8 + 9.98227e7i −0.777710 + 0.652576i
\(219\) 1.87060e8 + 6.80842e7i 1.20344 + 0.438018i
\(220\) −2.66103e7 + 9.68536e6i −0.168489 + 0.0613248i
\(221\) 2.45100e8 1.52746
\(222\) 2.31528e8 + 3.26124e8i 1.42026 + 2.00054i
\(223\) −1.15228e8 −0.695810 −0.347905 0.937530i \(-0.613107\pi\)
−0.347905 + 0.937530i \(0.613107\pi\)
\(224\) −2.60675e8 + 9.48780e7i −1.54964 + 0.564024i
\(225\) −5.24698e6 1.90975e6i −0.0307094 0.0111773i
\(226\) −2.36050e8 + 1.98069e8i −1.36027 + 1.14140i
\(227\) 5.01047e7 + 2.84158e8i 0.284307 + 1.61239i 0.707750 + 0.706463i \(0.249710\pi\)
−0.423443 + 0.905923i \(0.639179\pi\)
\(228\) 2.70635e8 1.51221
\(229\) −2.17236e7 1.23200e8i −0.119538 0.677935i −0.984403 0.175930i \(-0.943707\pi\)
0.864865 0.502005i \(-0.167404\pi\)
\(230\) 1.31011e8 2.26918e8i 0.710003 1.22976i
\(231\) −7.69509e7 6.45695e7i −0.410745 0.344656i
\(232\) −2.75514e7 4.77205e7i −0.144856 0.250898i
\(233\) −5.33972e7 + 9.24866e7i −0.276549 + 0.478997i −0.970525 0.241001i \(-0.922524\pi\)
0.693976 + 0.719999i \(0.255858\pi\)
\(234\) −5.64286e8 + 2.05383e8i −2.87901 + 1.04788i
\(235\) 2.46849e7 2.07131e7i 0.124078 0.104114i
\(236\) 2.30750e7 + 3.99671e7i 0.114275 + 0.197929i
\(237\) 9.68830e6 5.49451e7i 0.0472746 0.268108i
\(238\) 9.84395e7 5.58278e8i 0.473315 2.68430i
\(239\) −8.59460e6 7.21172e6i −0.0407224 0.0341701i 0.622199 0.782859i \(-0.286239\pi\)
−0.662922 + 0.748689i \(0.730684\pi\)
\(240\) −4.34102e8 1.58000e8i −2.02699 0.737766i
\(241\) 3.11040e8 + 1.13209e8i 1.43138 + 0.520981i 0.937328 0.348448i \(-0.113291\pi\)
0.494057 + 0.869430i \(0.335514\pi\)
\(242\) 2.14246e8 + 1.79774e8i 0.971762 + 0.815405i
\(243\) 6.20512e7 3.51910e8i 0.277414 1.57329i
\(244\) −1.87419e7 + 1.06291e8i −0.0825943 + 0.468415i
\(245\) 7.75274e7 + 1.34281e8i 0.336802 + 0.583357i
\(246\) 6.60124e8 5.53910e8i 2.82718 2.37228i
\(247\) 2.25431e8 8.20503e7i 0.951865 0.346450i
\(248\) −2.13384e6 + 3.69593e6i −0.00888345 + 0.0153866i
\(249\) −4.24823e8 7.35814e8i −1.74385 3.02044i
\(250\) −2.51242e8 2.10817e8i −1.01696 0.853329i
\(251\) −5.51496e7 + 9.55219e7i −0.220133 + 0.381281i −0.954848 0.297094i \(-0.903982\pi\)
0.734715 + 0.678375i \(0.237316\pi\)
\(252\) 1.06245e8 + 6.02544e8i 0.418221 + 2.37185i
\(253\) 6.14541e7 0.238577
\(254\) −5.97992e7 3.39138e8i −0.228969 1.29855i
\(255\) 5.91466e8 4.96299e8i 2.23377 1.87436i
\(256\) −3.23393e8 1.17706e8i −1.20473 0.438487i
\(257\) 5.16939e7 1.88150e7i 0.189965 0.0691415i −0.245286 0.969451i \(-0.578882\pi\)
0.435251 + 0.900309i \(0.356660\pi\)
\(258\) 6.76718e8 2.45323
\(259\) 2.53759e8 2.57079e8i 0.907553 0.919428i
\(260\) 2.17467e8 0.767339
\(261\) −6.51331e8 + 2.37065e8i −2.26757 + 0.825327i
\(262\) 3.28070e8 + 1.19408e8i 1.12697 + 0.410183i
\(263\) −1.81664e8 + 1.52434e8i −0.615777 + 0.516698i −0.896473 0.443098i \(-0.853879\pi\)
0.280696 + 0.959797i \(0.409435\pi\)
\(264\) −6.12475e6 3.47352e7i −0.0204868 0.116187i
\(265\) −4.89111e8 −1.61453
\(266\) −9.63508e7 5.46432e8i −0.313884 1.78013i
\(267\) −3.74141e8 + 6.48032e8i −1.20295 + 2.08356i
\(268\) −1.86465e8 1.56463e8i −0.591734 0.496524i
\(269\) −4.73023e7 8.19300e7i −0.148166 0.256631i 0.782383 0.622797i \(-0.214004\pi\)
−0.930550 + 0.366165i \(0.880670\pi\)
\(270\) −5.46359e8 + 9.46321e8i −1.68929 + 2.92594i
\(271\) 3.87979e8 1.41213e8i 1.18417 0.431004i 0.326500 0.945197i \(-0.394131\pi\)
0.857674 + 0.514193i \(0.171909\pi\)
\(272\) 4.68396e8 3.93031e8i 1.41131 1.18423i
\(273\) 3.85709e8 + 6.68068e8i 1.14734 + 1.98724i
\(274\) −1.16355e8 + 6.59883e8i −0.341711 + 1.93794i
\(275\) −186948. + 1.06023e6i −0.000542071 + 0.00307424i
\(276\) −4.07840e8 3.42218e8i −1.16764 0.979764i
\(277\) −1.94357e8 7.07401e7i −0.549440 0.199980i 0.0523576 0.998628i \(-0.483326\pi\)
−0.601798 + 0.798649i \(0.705549\pi\)
\(278\) 2.99368e7 + 1.08961e7i 0.0835696 + 0.0304169i
\(279\) 4.11234e7 + 3.45066e7i 0.113364 + 0.0951234i
\(280\) −2.35854e7 + 1.33759e8i −0.0642082 + 0.364143i
\(281\) 9.40892e6 5.33606e7i 0.0252969 0.143466i −0.969543 0.244920i \(-0.921238\pi\)
0.994840 + 0.101454i \(0.0323494\pi\)
\(282\) −7.43154e7 1.28718e8i −0.197336 0.341796i
\(283\) −2.37856e8 + 1.99585e8i −0.623824 + 0.523450i −0.899003 0.437943i \(-0.855707\pi\)
0.275179 + 0.961393i \(0.411263\pi\)
\(284\) 2.48441e8 9.04252e7i 0.643590 0.234248i
\(285\) 3.77861e8 6.54474e8i 0.966885 1.67469i
\(286\) 5.78909e7 + 1.00270e8i 0.146329 + 0.253449i
\(287\) −5.96203e8 5.00274e8i −1.48870 1.24917i
\(288\) −6.12610e8 + 1.06107e9i −1.51116 + 2.61740i
\(289\) 1.06205e8 + 6.02318e8i 0.258822 + 1.46785i
\(290\) 5.69809e8 1.37194
\(291\) 5.03772e7 + 2.85704e8i 0.119842 + 0.679658i
\(292\) −1.79082e8 + 1.50268e8i −0.420933 + 0.353204i
\(293\) 6.28314e8 + 2.28687e8i 1.45928 + 0.531136i 0.945168 0.326585i \(-0.105898\pi\)
0.514116 + 0.857721i \(0.328120\pi\)
\(294\) 6.72051e8 2.44607e8i 1.54236 0.561375i
\(295\) 1.28869e8 0.292262
\(296\) 1.26277e8 1.18753e7i 0.283011 0.0266149i
\(297\) −2.56284e8 −0.567641
\(298\) 1.05318e8 3.83327e7i 0.230540 0.0839098i
\(299\) −4.43473e8 1.61411e8i −0.959439 0.349207i
\(300\) 7.14479e6 5.99519e6i 0.0152780 0.0128197i
\(301\) −1.06132e8 6.01905e8i −0.224318 1.27217i
\(302\) −3.11569e8 −0.650924
\(303\) −7.33583e7 4.16035e8i −0.151496 0.859174i
\(304\) 2.99237e8 5.18293e8i 0.610882 1.05808i
\(305\) 2.30875e8 + 1.93727e8i 0.465936 + 0.390967i
\(306\) −1.25190e9 2.16835e9i −2.49772 4.32618i
\(307\) −2.45485e8 + 4.25193e8i −0.484218 + 0.838690i −0.999836 0.0181284i \(-0.994229\pi\)
0.515617 + 0.856819i \(0.327563\pi\)
\(308\) 1.10854e8 4.03474e7i 0.216183 0.0786843i
\(309\) 2.09778e8 1.76024e8i 0.404487 0.339405i
\(310\) −2.20657e7 3.82189e7i −0.0420680 0.0728639i
\(311\) −1.00324e8 + 5.68968e8i −0.189124 + 1.07257i 0.731418 + 0.681929i \(0.238859\pi\)
−0.920542 + 0.390644i \(0.872252\pi\)
\(312\) −4.70347e7 + 2.66747e8i −0.0876753 + 0.497231i
\(313\) −4.35836e8 3.65710e8i −0.803375 0.674111i 0.145642 0.989337i \(-0.453475\pi\)
−0.949017 + 0.315226i \(0.897920\pi\)
\(314\) −4.81647e8 1.75305e8i −0.877961 0.319552i
\(315\) 1.60547e9 + 5.84341e8i 2.89410 + 1.05337i
\(316\) 5.01921e7 + 4.21161e7i 0.0894809 + 0.0750834i
\(317\) 3.03352e7 1.72040e8i 0.0534859 0.303334i −0.946316 0.323243i \(-0.895227\pi\)
0.999802 + 0.0199096i \(0.00633783\pi\)
\(318\) −3.91750e8 + 2.22173e9i −0.683147 + 3.87432i
\(319\) 6.68210e7 + 1.15737e8i 0.115251 + 0.199621i
\(320\) 2.43767e8 2.04545e8i 0.415863 0.348950i
\(321\) −1.25725e9 + 4.57602e8i −2.12156 + 0.772184i
\(322\) −5.45767e8 + 9.45296e8i −0.910986 + 1.57787i
\(323\) 5.00132e8 + 8.66254e8i 0.825802 + 1.43033i
\(324\) 8.26513e8 + 6.93526e8i 1.35003 + 1.13281i
\(325\) 4.13381e6 7.15997e6i 0.00667973 0.0115696i
\(326\) −1.73544e8 9.84215e8i −0.277426 1.57336i
\(327\) 8.81126e8 1.39354
\(328\) −4.74536e7 2.69122e8i −0.0742524 0.421106i
\(329\) −1.02833e8 + 8.62869e7i −0.159201 + 0.133585i
\(330\) 3.42736e8 + 1.24746e8i 0.525001 + 0.191085i
\(331\) −6.88783e8 + 2.50696e8i −1.04396 + 0.379971i −0.806381 0.591397i \(-0.798577\pi\)
−0.237581 + 0.971368i \(0.576354\pi\)
\(332\) 9.97795e8 1.49644
\(333\) 1.28718e8 1.59023e9i 0.191022 2.35996i
\(334\) −8.54079e8 −1.25425
\(335\) −6.38717e8 + 2.32474e8i −0.928221 + 0.337845i
\(336\) 1.80839e9 + 6.58200e8i 2.60078 + 0.946608i
\(337\) 1.58815e8 1.33262e8i 0.226041 0.189671i −0.522733 0.852497i \(-0.675087\pi\)
0.748774 + 0.662826i \(0.230643\pi\)
\(338\) 1.04138e7 + 5.90593e7i 0.0146689 + 0.0831917i
\(339\) 1.74834e9 2.43740
\(340\) 1.57453e8 + 8.92958e8i 0.217257 + 1.23213i
\(341\) 5.17525e6 8.96380e6i 0.00706791 0.0122420i
\(342\) −1.87732e9 1.57526e9i −2.53774 2.12942i
\(343\) 1.59791e8 + 2.76767e8i 0.213808 + 0.370326i
\(344\) 1.07301e8 1.85851e8i 0.142118 0.246156i
\(345\) −1.39701e9 + 5.08470e8i −1.83161 + 0.666651i
\(346\) −4.82136e8 + 4.04560e8i −0.625754 + 0.525070i
\(347\) −4.70729e8 8.15327e8i −0.604809 1.04756i −0.992082 0.125595i \(-0.959916\pi\)
0.387273 0.921965i \(-0.373417\pi\)
\(348\) 2.01047e8 1.14019e9i 0.255723 1.45028i
\(349\) 1.00943e8 5.72477e8i 0.127112 0.720890i −0.852918 0.522044i \(-0.825170\pi\)
0.980031 0.198846i \(-0.0637194\pi\)
\(350\) −1.46484e7 1.22915e7i −0.0182622 0.0153238i
\(351\) 1.84943e9 + 6.73136e8i 2.28277 + 0.830861i
\(352\) 2.21986e8 + 8.07965e7i 0.271286 + 0.0987400i
\(353\) 2.35314e8 + 1.97452e8i 0.284732 + 0.238918i 0.773956 0.633240i \(-0.218275\pi\)
−0.489224 + 0.872158i \(0.662720\pi\)
\(354\) 1.03217e8 5.85373e8i 0.123663 0.701328i
\(355\) 1.28199e8 7.27055e8i 0.152085 0.862518i
\(356\) −4.39379e8 7.61027e8i −0.516137 0.893975i
\(357\) −2.46394e9 + 2.06749e9i −2.86610 + 2.40494i
\(358\) −5.86297e8 + 2.13395e8i −0.675347 + 0.245806i
\(359\) 3.71327e8 6.43157e8i 0.423571 0.733646i −0.572715 0.819755i \(-0.694110\pi\)
0.996286 + 0.0861084i \(0.0274431\pi\)
\(360\) 2.99946e8 + 5.19522e8i 0.338832 + 0.586874i
\(361\) 6.52427e7 + 5.47451e7i 0.0729889 + 0.0612449i
\(362\) 7.24357e8 1.25462e9i 0.802551 1.39006i
\(363\) −2.75554e8 1.56274e9i −0.302366 1.71480i
\(364\) −9.05928e8 −0.984552
\(365\) 1.13357e8 + 6.42877e8i 0.122017 + 0.691995i
\(366\) 1.06490e9 8.93554e8i 1.13533 0.952658i
\(367\) −2.00861e8 7.31074e7i −0.212112 0.0772023i 0.233779 0.972290i \(-0.424891\pi\)
−0.445891 + 0.895087i \(0.647113\pi\)
\(368\) −1.10633e9 + 4.02670e8i −1.15722 + 0.421193i
\(369\) −3.43748e9 −3.56162
\(370\) −5.46555e8 + 1.19226e9i −0.560955 + 1.22367i
\(371\) 2.03755e9 2.07157
\(372\) −8.42621e7 + 3.06689e7i −0.0848656 + 0.0308886i
\(373\) 8.33209e8 + 3.03263e8i 0.831329 + 0.302579i 0.722404 0.691471i \(-0.243037\pi\)
0.108925 + 0.994050i \(0.465259\pi\)
\(374\) −3.69811e8 + 3.10309e8i −0.365535 + 0.306721i
\(375\) 3.23136e8 + 1.83260e9i 0.316429 + 1.79456i
\(376\) −4.71341e7 −0.0457276
\(377\) −1.78214e8 1.01070e9i −0.171296 0.971470i
\(378\) 2.27603e9 3.94220e9i 2.16749 3.75420i
\(379\) 1.52802e9 + 1.28216e9i 1.44176 + 1.20978i 0.938328 + 0.345746i \(0.112374\pi\)
0.503432 + 0.864035i \(0.332070\pi\)
\(380\) 4.43747e8 + 7.68593e8i 0.414852 + 0.718545i
\(381\) −9.76948e8 + 1.69212e9i −0.904970 + 1.56745i
\(382\) 2.16906e9 7.89473e8i 1.99090 0.724629i
\(383\) 6.31229e8 5.29664e8i 0.574105 0.481731i −0.308900 0.951094i \(-0.599961\pi\)
0.883005 + 0.469363i \(0.155516\pi\)
\(384\) 5.65731e8 + 9.79875e8i 0.509860 + 0.883103i
\(385\) 5.72021e7 3.24409e8i 0.0510857 0.289721i
\(386\) −1.44522e8 + 8.19625e8i −0.127902 + 0.725370i
\(387\) −2.06791e9 1.73518e9i −1.81360 1.52179i
\(388\) −3.20150e8 1.16525e8i −0.278255 0.101277i
\(389\) 1.45677e9 + 5.30219e8i 1.25478 + 0.456701i 0.882013 0.471226i \(-0.156188\pi\)
0.372763 + 0.927927i \(0.378411\pi\)
\(390\) −2.14564e9 1.80041e9i −1.83160 1.53690i
\(391\) 3.41694e8 1.93784e9i 0.289080 1.63946i
\(392\) 3.93834e7 2.23355e8i 0.0330227 0.187281i
\(393\) −9.90437e8 1.71549e9i −0.823101 1.42565i
\(394\) −1.41815e9 + 1.18997e9i −1.16811 + 0.980164i
\(395\) 1.71927e8 6.25764e7i 0.140364 0.0510882i
\(396\) 2.60516e8 4.51226e8i 0.210815 0.365142i
\(397\) −1.01961e9 1.76602e9i −0.817842 1.41654i −0.907269 0.420550i \(-0.861837\pi\)
0.0894275 0.995993i \(-0.471496\pi\)
\(398\) 1.89867e9 + 1.59318e9i 1.50959 + 1.26670i
\(399\) −1.57410e9 + 2.72642e9i −1.24058 + 2.14876i
\(400\) −3.58152e6 2.03118e7i −0.00279806 0.0158686i
\(401\) −5.89969e8 −0.456903 −0.228451 0.973555i \(-0.573366\pi\)
−0.228451 + 0.973555i \(0.573366\pi\)
\(402\) 5.44408e8 + 3.08749e9i 0.417958 + 2.37036i
\(403\) −6.08899e7 + 5.10927e7i −0.0463423 + 0.0388858i
\(404\) 4.66196e8 + 1.69681e8i 0.351750 + 0.128026i
\(405\) 2.83113e9 1.03045e9i 2.11771 0.770784i
\(406\) −2.37372e9 −1.76030
\(407\) −3.06262e8 + 2.88014e7i −0.225171 + 0.0211755i
\(408\) −1.12936e9 −0.823234
\(409\) 1.13817e9 4.14259e8i 0.822573 0.299392i 0.103766 0.994602i \(-0.466911\pi\)
0.718807 + 0.695210i \(0.244688\pi\)
\(410\) 2.65546e9 + 9.66508e8i 1.90281 + 0.692567i
\(411\) 2.91237e9 2.44377e9i 2.06919 1.73625i
\(412\) 5.58444e7 + 3.16709e8i 0.0393404 + 0.223111i
\(413\) −5.36846e8 −0.374994
\(414\) 8.37159e8 + 4.74776e9i 0.579838 + 3.28842i
\(415\) 1.39312e9 2.41296e9i 0.956800 1.65723i
\(416\) −1.38971e9 1.16611e9i −0.946450 0.794166i
\(417\) −9.03787e7 1.56540e8i −0.0610365 0.105718i
\(418\) −2.36256e8 + 4.09207e8i −0.158221 + 0.274047i
\(419\) −4.78540e8 + 1.74174e8i −0.317811 + 0.115674i −0.496000 0.868322i \(-0.665198\pi\)
0.178189 + 0.983996i \(0.442976\pi\)
\(420\) −2.18615e9 + 1.83440e9i −1.43982 + 1.20815i
\(421\) −9.35452e6 1.62025e7i −0.00610990 0.0105827i 0.862954 0.505282i \(-0.168612\pi\)
−0.869064 + 0.494699i \(0.835278\pi\)
\(422\) −1.75031e8 + 9.92649e8i −0.113376 + 0.642987i
\(423\) −1.02955e8 + 5.83887e8i −0.0661388 + 0.375092i
\(424\) 5.48049e8 + 4.59868e8i 0.349172 + 0.292990i
\(425\) 3.23931e7 + 1.17901e7i 0.0204687 + 0.00745001i
\(426\) −3.19988e9 1.16466e9i −2.00539 0.729904i
\(427\) −9.61780e8 8.07029e8i −0.597831 0.501640i
\(428\) 2.72842e8 1.54736e9i 0.168212 0.953979i
\(429\) 1.14074e8 6.46946e8i 0.0697568 0.395610i
\(430\) 1.10958e9 + 1.92185e9i 0.673008 + 1.16568i
\(431\) −1.10645e9 + 9.28426e8i −0.665676 + 0.558569i −0.911782 0.410674i \(-0.865293\pi\)
0.246106 + 0.969243i \(0.420849\pi\)
\(432\) 4.61374e9 1.67927e9i 2.75334 1.00213i
\(433\) −8.91404e8 + 1.54396e9i −0.527675 + 0.913961i 0.471804 + 0.881703i \(0.343603\pi\)
−0.999480 + 0.0322572i \(0.989730\pi\)
\(434\) 9.19216e7 + 1.59213e8i 0.0539764 + 0.0934898i
\(435\) −2.47662e9 2.07813e9i −1.44260 1.21049i
\(436\) −5.17383e8 + 8.96133e8i −0.298957 + 0.517809i
\(437\) −3.34444e8 1.89672e9i −0.191707 1.08722i
\(438\) 3.01098e9 1.71218
\(439\) −3.63502e7 2.06152e8i −0.0205060 0.116295i 0.972837 0.231493i \(-0.0743610\pi\)
−0.993343 + 0.115198i \(0.963250\pi\)
\(440\) 8.86041e7 7.43477e7i 0.0495872 0.0416086i
\(441\) −2.68084e9 9.75747e8i −1.48846 0.541754i
\(442\) 3.48371e9 1.26797e9i 1.91895 0.698441i
\(443\) −1.91503e9 −1.04655 −0.523277 0.852163i \(-0.675291\pi\)
−0.523277 + 0.852163i \(0.675291\pi\)
\(444\) 2.19289e9 + 1.51433e9i 1.18899 + 0.821072i
\(445\) −2.45385e9 −1.32004
\(446\) −1.63778e9 + 5.96105e8i −0.874147 + 0.318164i
\(447\) −5.97558e8 2.17493e8i −0.316449 0.115178i
\(448\) −1.01549e9 + 8.52095e8i −0.533583 + 0.447729i
\(449\) −3.41088e8 1.93441e9i −0.177830 1.00852i −0.934827 0.355104i \(-0.884446\pi\)
0.756997 0.653418i \(-0.226666\pi\)
\(450\) −8.44573e7 −0.0436911
\(451\) 1.15090e8 + 6.52708e8i 0.0590772 + 0.335043i
\(452\) −1.02660e9 + 1.77812e9i −0.522896 + 0.905683i
\(453\) 1.35421e9 + 1.13631e9i 0.684449 + 0.574321i
\(454\) 2.18218e9 + 3.77965e9i 1.09445 + 1.89564i
\(455\) −1.26486e9 + 2.19080e9i −0.629509 + 1.09034i
\(456\) −1.03874e9 + 3.78069e8i −0.513013 + 0.186722i
\(457\) 1.60935e9 1.35040e9i 0.788757 0.661846i −0.156681 0.987649i \(-0.550079\pi\)
0.945437 + 0.325804i \(0.105635\pi\)
\(458\) −9.46115e8 1.63872e9i −0.460166 0.797031i
\(459\) −1.42498e9 + 8.08144e9i −0.687802 + 3.90072i
\(460\) 3.03171e8 1.71937e9i 0.145223 0.823601i
\(461\) 6.92108e8 + 5.80748e8i 0.329019 + 0.276080i 0.792300 0.610132i \(-0.208884\pi\)
−0.463281 + 0.886211i \(0.653328\pi\)
\(462\) −1.42777e9 5.19667e8i −0.673615 0.245176i
\(463\) −1.00717e9 3.66582e8i −0.471597 0.171647i 0.0952784 0.995451i \(-0.469626\pi\)
−0.566876 + 0.823803i \(0.691848\pi\)
\(464\) −1.96129e9 1.64572e9i −0.911444 0.764792i
\(465\) −4.34805e7 + 2.46590e8i −0.0200544 + 0.113734i
\(466\) −2.80499e8 + 1.59079e9i −0.128405 + 0.728219i
\(467\) 9.36603e8 + 1.62224e9i 0.425546 + 0.737067i 0.996471 0.0839349i \(-0.0267488\pi\)
−0.570925 + 0.821002i \(0.693415\pi\)
\(468\) −3.06512e9 + 2.57194e9i −1.38225 + 1.15985i
\(469\) 2.66078e9 9.68443e8i 1.19098 0.433480i
\(470\) 2.43703e8 4.22106e8i 0.108273 0.187534i
\(471\) 1.45409e9 + 2.51855e9i 0.641234 + 1.11065i
\(472\) −1.44398e8 1.21164e8i −0.0632069 0.0530369i
\(473\) −2.60240e8 + 4.50748e8i −0.113073 + 0.195848i
\(474\) −1.46542e8 8.31078e8i −0.0632028 0.358441i
\(475\) 3.37406e7 0.0144452
\(476\) −6.55918e8 3.71990e9i −0.278757 1.58091i
\(477\) 6.89385e9 5.78462e9i 2.90835 2.44040i
\(478\) −1.59467e8 5.80412e7i −0.0667841 0.0243074i
\(479\) −3.89158e9 + 1.41642e9i −1.61790 + 0.588868i −0.982981 0.183709i \(-0.941190\pi\)
−0.634921 + 0.772577i \(0.718967\pi\)
\(480\) −5.71483e9 −2.35863
\(481\) 2.28573e9 + 5.96564e8i 0.936520 + 0.244427i
\(482\) 5.00661e9 2.03647
\(483\) 5.81969e9 2.11819e9i 2.35009 0.855363i
\(484\) 1.75116e9 + 6.37370e8i 0.702048 + 0.255525i
\(485\) −7.28786e8 + 6.11524e8i −0.290071 + 0.243398i
\(486\) −9.38563e8 5.32286e9i −0.370883 2.10338i
\(487\) −4.72408e8 −0.185339 −0.0926694 0.995697i \(-0.529540\pi\)
−0.0926694 + 0.995697i \(0.529540\pi\)
\(488\) −7.65509e7 4.34142e8i −0.0298182 0.169107i
\(489\) −2.83521e9 + 4.91073e9i −1.09649 + 1.89917i
\(490\) 1.79660e9 + 1.50753e9i 0.689868 + 0.578868i
\(491\) 1.72572e8 + 2.98903e8i 0.0657937 + 0.113958i 0.897046 0.441938i \(-0.145709\pi\)
−0.831252 + 0.555896i \(0.812375\pi\)
\(492\) 2.87093e9 4.97259e9i 1.08679 1.88237i
\(493\) 4.02110e9 1.46356e9i 1.51140 0.550106i
\(494\) 2.77969e9 2.33243e9i 1.03741 0.870493i
\(495\) −7.27465e8 1.26001e9i −0.269584 0.466933i
\(496\) −3.44332e7 + 1.95281e8i −0.0126704 + 0.0718577i
\(497\) −5.34055e8 + 3.02878e9i −0.195137 + 1.10667i
\(498\) −9.84475e9 8.26073e9i −3.57192 2.99720i
\(499\) −3.45143e9 1.25622e9i −1.24350 0.452598i −0.365301 0.930889i \(-0.619034\pi\)
−0.878201 + 0.478291i \(0.841256\pi\)
\(500\) −2.05355e9 7.47431e8i −0.734700 0.267409i
\(501\) 3.71218e9 + 3.11489e9i 1.31885 + 1.10665i
\(502\) −2.89705e8 + 1.64300e9i −0.102210 + 0.579661i
\(503\) 3.79019e8 2.14952e9i 0.132792 0.753103i −0.843579 0.537005i \(-0.819556\pi\)
0.976372 0.216098i \(-0.0693331\pi\)
\(504\) −1.24952e9 2.16423e9i −0.434747 0.753003i
\(505\) 1.06124e9 8.90488e8i 0.366686 0.307686i
\(506\) 8.73474e8 3.17919e8i 0.299725 0.109091i
\(507\) 1.70131e8 2.94676e8i 0.0579770 0.100419i
\(508\) −1.14730e9 1.98717e9i −0.388287 0.672532i
\(509\) 2.15208e9 + 1.80581e9i 0.723345 + 0.606959i 0.928308 0.371811i \(-0.121263\pi\)
−0.204963 + 0.978770i \(0.565707\pi\)
\(510\) 5.83928e9 1.01139e10i 1.94923 3.37617i
\(511\) −4.72223e8 2.67811e9i −0.156557 0.887881i
\(512\) −3.51789e9 −1.15834
\(513\) 1.39474e9 + 7.90997e9i 0.456124 + 2.58681i
\(514\) 6.37412e8 5.34852e8i 0.207038 0.173725i
\(515\) 8.43865e8 + 3.07142e8i 0.272237 + 0.0990863i
\(516\) 4.23715e9 1.54220e9i 1.35769 0.494158i
\(517\) 1.14315e8 0.0363821
\(518\) 2.27685e9 4.96674e9i 0.719747 1.57006i
\(519\) 3.57102e9 1.12126
\(520\) −8.34672e8 + 3.03796e8i −0.260318 + 0.0947480i
\(521\) −2.85656e9 1.03970e9i −0.884935 0.322090i −0.140736 0.990047i \(-0.544947\pi\)
−0.744200 + 0.667957i \(0.767169\pi\)
\(522\) −8.03125e9 + 6.73902e9i −2.47136 + 2.07372i
\(523\) −8.50995e7 4.82623e8i −0.0260118 0.147520i 0.969036 0.246921i \(-0.0794187\pi\)
−0.995048 + 0.0994002i \(0.968308\pi\)
\(524\) 2.32627e9 0.706320
\(525\) 1.88401e7 + 1.06848e8i 0.00568233 + 0.0322261i
\(526\) −1.79349e9 + 3.10641e9i −0.537338 + 0.930697i
\(527\) −2.53882e8 2.13032e8i −0.0755604 0.0634027i
\(528\) −8.19413e8 1.41927e9i −0.242261 0.419609i
\(529\) −1.92002e8 + 3.32556e8i −0.0563910 + 0.0976721i
\(530\) −6.95195e9 + 2.53030e9i −2.02834 + 0.738256i
\(531\) −1.81637e9 + 1.52411e9i −0.526469 + 0.441760i
\(532\) −1.84857e9 3.20181e9i −0.532286 0.921946i
\(533\) 8.83827e8 5.01243e9i 0.252826 1.43385i
\(534\) −1.96539e9 + 1.11463e10i −0.558541 + 3.16764i
\(535\) −3.36103e9 2.82024e9i −0.948930 0.796247i
\(536\) 9.34257e8 + 3.40042e8i 0.262053 + 0.0953796i
\(537\) 3.32655e9 + 1.21076e9i 0.927009 + 0.337404i
\(538\) −1.09617e9 9.19799e8i −0.303488 0.254657i
\(539\) −9.55174e7 + 5.41706e8i −0.0262737 + 0.149006i
\(540\) −1.26432e9 + 7.17034e9i −0.345526 + 1.95957i
\(541\) 8.60884e8 + 1.49110e9i 0.233751 + 0.404869i 0.958909 0.283713i \(-0.0915665\pi\)
−0.725158 + 0.688583i \(0.758233\pi\)
\(542\) 4.78398e9 4.01424e9i 1.29060 1.08294i
\(543\) −7.72404e9 + 2.81132e9i −2.07036 + 0.753549i
\(544\) 3.78204e9 6.55069e9i 1.00723 1.74458i
\(545\) 1.44474e9 + 2.50237e9i 0.382298 + 0.662160i
\(546\) 8.93834e9 + 7.50016e9i 2.35008 + 1.97195i
\(547\) −1.86851e9 + 3.23636e9i −0.488136 + 0.845476i −0.999907 0.0136458i \(-0.995656\pi\)
0.511771 + 0.859122i \(0.328990\pi\)
\(548\) 7.75294e8 + 4.39691e9i 0.201249 + 1.14134i
\(549\) −5.54526e9 −1.43027
\(550\) 2.82771e6 + 1.60367e7i 0.000724711 + 0.00411004i
\(551\) 3.20847e9 2.69223e9i 0.817086 0.685617i
\(552\) 2.04342e9 + 7.43745e8i 0.517096 + 0.188208i
\(553\) −7.16217e8 + 2.60682e8i −0.180097 + 0.0655500i
\(554\) −3.12843e9 −0.781705
\(555\) 6.72382e9 3.18873e9i 1.66952 0.791759i
\(556\) 2.12276e8 0.0523767
\(557\) 1.78346e9 6.49126e8i 0.437291 0.159161i −0.113988 0.993482i \(-0.536362\pi\)
0.551278 + 0.834321i \(0.314140\pi\)
\(558\) 7.63016e8 + 2.77715e8i 0.185915 + 0.0676675i
\(559\) 3.06187e9 2.56922e9i 0.741389 0.622099i
\(560\) 1.09587e9 + 6.21497e9i 0.263694 + 1.49548i
\(561\) 2.73907e9 0.654987
\(562\) −1.42316e8 8.07113e8i −0.0338202 0.191804i
\(563\) −1.35412e9 + 2.34540e9i −0.319798 + 0.553907i −0.980446 0.196789i \(-0.936949\pi\)
0.660647 + 0.750696i \(0.270282\pi\)
\(564\) −7.58653e8 6.36585e8i −0.178060 0.149410i
\(565\) 2.86667e9 + 4.96522e9i 0.668665 + 1.15816i
\(566\) −2.34825e9 + 4.06728e9i −0.544360 + 0.942859i
\(567\) −1.17939e10 + 4.29265e9i −2.71718 + 0.988973i
\(568\) −8.27233e8 + 6.94131e8i −0.189413 + 0.158936i
\(569\) −3.85370e8 6.67481e8i −0.0876971 0.151896i 0.818840 0.574022i \(-0.194617\pi\)
−0.906537 + 0.422126i \(0.861284\pi\)
\(570\) 1.98493e9 1.12571e10i 0.448935 2.54604i
\(571\) −2.96817e8 + 1.68333e9i −0.0667209 + 0.378393i 0.933103 + 0.359610i \(0.117090\pi\)
−0.999824 + 0.0187829i \(0.994021\pi\)
\(572\) 5.90982e8 + 4.95893e8i 0.132035 + 0.110790i
\(573\) −1.23069e10 4.47934e9i −2.73279 0.994655i
\(574\) −1.10621e10 4.02629e9i −2.44145 0.888615i
\(575\) −5.08462e7 4.26650e7i −0.0111538 0.00935911i
\(576\) −1.01670e9 + 5.76597e9i −0.221673 + 1.25717i
\(577\) 1.77586e8 1.00714e9i 0.0384852 0.218260i −0.959500 0.281709i \(-0.909099\pi\)
0.997985 + 0.0634485i \(0.0202099\pi\)
\(578\) 4.62549e9 + 8.01158e9i 0.996345 + 1.72572i
\(579\) 3.61738e9 3.03534e9i 0.774496 0.649879i
\(580\) 3.56776e9 1.29856e9i 0.759272 0.276352i
\(581\) −5.80349e9 + 1.00519e10i −1.22765 + 2.12634i
\(582\) 2.19406e9 + 3.80021e9i 0.461336 + 0.799057i
\(583\) −1.32919e9 1.11533e9i −0.277810 0.233111i
\(584\) 4.77425e8 8.26924e8i 0.0991882 0.171799i
\(585\) 1.94018e9 + 1.10033e10i 0.400679 + 2.27236i
\(586\) 1.01136e10 2.07617
\(587\) 7.70575e8 + 4.37015e9i 0.157247 + 0.891790i 0.956703 + 0.291066i \(0.0940099\pi\)
−0.799456 + 0.600724i \(0.794879\pi\)
\(588\) 3.65049e9 3.06312e9i 0.740509 0.621361i
\(589\) −3.04824e8 1.10947e8i −0.0614675 0.0223723i
\(590\) 1.83168e9 6.66676e8i 0.367170 0.133639i
\(591\) 1.05038e10 2.09309
\(592\) 5.32475e9 2.52523e9i 1.05481 0.500237i
\(593\) 2.80867e9 0.553106 0.276553 0.960999i \(-0.410808\pi\)
0.276553 + 0.960999i \(0.410808\pi\)
\(594\) −3.64268e9 + 1.32583e9i −0.713129 + 0.259558i
\(595\) −9.91159e9 3.60752e9i −1.92901 0.702102i
\(596\) 5.72074e8 4.80027e8i 0.110685 0.0928760i
\(597\) −2.44199e9 1.38492e10i −0.469714 2.66388i
\(598\) −7.13829e9 −1.36502
\(599\) −6.66633e8 3.78067e9i −0.126734 0.718744i −0.980263 0.197699i \(-0.936653\pi\)
0.853529 0.521046i \(-0.174458\pi\)
\(600\) −1.90477e7 + 3.29915e7i −0.00360008 + 0.00623552i
\(601\) −7.10532e9 5.96207e9i −1.33513 1.12031i −0.982849 0.184412i \(-0.940962\pi\)
−0.352280 0.935895i \(-0.614593\pi\)
\(602\) −4.62232e9 8.00609e9i −0.863519 1.49566i
\(603\) 6.25306e9 1.08306e10i 1.16140 2.01160i
\(604\) −1.95084e9 + 7.10046e8i −0.360240 + 0.131116i
\(605\) 3.98632e9 3.34492e9i 0.731860 0.614104i
\(606\) −3.19494e9 5.53379e9i −0.583187 1.01011i
\(607\) −9.06583e8 + 5.14149e9i −0.164531 + 0.933101i 0.785016 + 0.619475i \(0.212655\pi\)
−0.949547 + 0.313625i \(0.898456\pi\)
\(608\) 1.28562e9 7.29111e9i 0.231980 1.31562i
\(609\) 1.03171e10 + 8.65711e9i 1.85097 + 1.55315i
\(610\) 4.28372e9 + 1.55915e9i 0.764129 + 0.278120i
\(611\) −8.24936e8 3.00252e8i −0.146311 0.0532527i
\(612\) −1.27801e10 1.07238e10i −2.25374 1.89111i
\(613\) −8.03525e8 + 4.55702e9i −0.140892 + 0.799041i 0.829681 + 0.558237i \(0.188522\pi\)
−0.970574 + 0.240804i \(0.922589\pi\)
\(614\) −1.28955e9 + 7.31341e9i −0.224828 + 1.27506i
\(615\) −8.01678e9 1.38855e10i −1.38975 2.40712i
\(616\) −3.69108e8 + 3.09719e8i −0.0636241 + 0.0533869i
\(617\) 5.79850e9 2.11048e9i 0.993843 0.361729i 0.206636 0.978418i \(-0.433749\pi\)
0.787207 + 0.616689i \(0.211526\pi\)
\(618\) 2.07104e9 3.58715e9i 0.352963 0.611349i
\(619\) −5.35397e8 9.27334e8i −0.0907316 0.157152i 0.817088 0.576514i \(-0.195587\pi\)
−0.907819 + 0.419362i \(0.862254\pi\)
\(620\) −2.25259e8 1.89015e8i −0.0379587 0.0318511i
\(621\) 7.90033e9 1.36838e10i 1.32381 2.29290i
\(622\) 1.51747e9 + 8.60600e9i 0.252845 + 1.43395i
\(623\) 1.02223e10 1.69371
\(624\) 2.18541e9 + 1.23941e10i 0.360070 + 2.04206i
\(625\) −4.73921e9 + 3.97667e9i −0.776472 + 0.651537i
\(626\) −8.08665e9 2.94330e9i −1.31752 0.479539i
\(627\) 2.51927e9 9.16938e8i 0.408167 0.148561i
\(628\) −3.41526e9 −0.550256
\(629\) −7.94659e8 + 9.81753e9i −0.127322 + 1.57299i
\(630\) 2.58421e10 4.11753
\(631\) −3.04698e9 + 1.10901e9i −0.482800 + 0.175725i −0.571942 0.820294i \(-0.693810\pi\)
0.0891419 + 0.996019i \(0.471588\pi\)
\(632\) −2.51480e8 9.15311e7i −0.0396272 0.0144231i
\(633\) 4.38102e9 3.67611e9i 0.686534 0.576070i
\(634\) −4.58839e8 2.60221e9i −0.0715069 0.405536i
\(635\) −6.40742e9 −0.993060
\(636\) 2.61030e9 + 1.48037e10i 0.402337 + 2.28177i
\(637\) 2.11209e9 3.65824e9i 0.323761 0.560770i
\(638\) 1.54850e9 + 1.29934e9i 0.236068 + 0.198085i
\(639\) 6.79182e9 + 1.17638e10i 1.02975 + 1.78358i
\(640\) −1.85521e9 + 3.21331e9i −0.279745 + 0.484532i
\(641\) −6.45126e9 + 2.34807e9i −0.967479 + 0.352134i −0.776960 0.629550i \(-0.783239\pi\)
−0.190519 + 0.981683i \(0.561017\pi\)
\(642\) −1.55026e10 + 1.30082e10i −2.31223 + 1.94019i
\(643\) 5.26338e9 + 9.11644e9i 0.780775 + 1.35234i 0.931491 + 0.363765i \(0.118509\pi\)
−0.150716 + 0.988577i \(0.548158\pi\)
\(644\) −1.26296e9 + 7.16257e9i −0.186332 + 1.05674i
\(645\) 2.18644e9 1.23999e10i 0.320832 1.81953i
\(646\) 1.15900e10 + 9.72513e9i 1.69148 + 1.41932i
\(647\) −6.74520e9 2.45505e9i −0.979106 0.356366i −0.197614 0.980280i \(-0.563319\pi\)
−0.781493 + 0.623914i \(0.785541\pi\)
\(648\) −4.14112e9 1.50724e9i −0.597868 0.217606i
\(649\) 3.50212e8 + 2.93862e8i 0.0502891 + 0.0421976i
\(650\) 2.17152e7 1.23153e8i 0.00310147 0.0175893i
\(651\) 1.81132e8 1.02725e9i 0.0257313 0.145929i
\(652\) −3.32958e9 5.76700e9i −0.470460 0.814860i
\(653\) −4.97388e9 + 4.17358e9i −0.699036 + 0.586561i −0.921499 0.388380i \(-0.873035\pi\)
0.222463 + 0.974941i \(0.428590\pi\)
\(654\) 1.25238e10 4.55830e9i 1.75071 0.637208i
\(655\) 3.24795e9 5.62561e9i 0.451611 0.782213i
\(656\) −6.34868e9 1.09962e10i −0.878051 1.52083i
\(657\) −9.20091e9 7.72048e9i −1.26576 1.06210i
\(658\) −1.01522e9 + 1.75841e9i −0.138922 + 0.240619i
\(659\) −2.43384e8 1.38030e9i −0.0331278 0.187877i 0.963753 0.266795i \(-0.0859646\pi\)
−0.996881 + 0.0789179i \(0.974854\pi\)
\(660\) 2.43027e9 0.329041
\(661\) 1.88739e9 + 1.07039e10i 0.254189 + 1.44158i 0.798146 + 0.602465i \(0.205814\pi\)
−0.543957 + 0.839113i \(0.683074\pi\)
\(662\) −8.49305e9 + 7.12652e9i −1.13779 + 0.954716i
\(663\) −1.97660e10 7.19423e9i −2.63403 0.958709i
\(664\) −3.82969e9 + 1.39389e9i −0.507663 + 0.184774i
\(665\) −1.03239e10 −1.36134
\(666\) −6.39716e9 2.32685e10i −0.839127 3.05217i
\(667\) −8.23942e9 −1.07512
\(668\) −5.34767e9 + 1.94639e9i −0.694139 + 0.252646i
\(669\) 9.29251e9 + 3.38220e9i 1.19989 + 0.436725i
\(670\) −7.87571e9 + 6.60851e9i −1.01164 + 0.848871i
\(671\) 1.85660e8 + 1.05293e9i 0.0237241 + 0.134546i
\(672\) 2.38069e10 3.02629
\(673\) −1.11674e9 6.33335e9i −0.141221 0.800905i −0.970324 0.241809i \(-0.922259\pi\)
0.829103 0.559096i \(-0.188852\pi\)
\(674\) 1.56791e9 2.71570e9i 0.197248 0.341643i
\(675\) 2.12046e8 + 1.77927e8i 0.0265379 + 0.0222679i
\(676\) 1.99796e8 + 3.46057e8i 0.0248756 + 0.0430858i
\(677\) 4.84242e9 8.38731e9i 0.599794 1.03887i −0.393057 0.919514i \(-0.628583\pi\)
0.992851 0.119359i \(-0.0380840\pi\)
\(678\) 2.48499e10 9.04463e9i 3.06211 1.11452i
\(679\) 3.03599e9 2.54750e9i 0.372182 0.312298i
\(680\) −1.85177e9 3.20735e9i −0.225842 0.391170i
\(681\) 4.29999e9 2.43865e10i 0.521739 2.95893i
\(682\) 2.71860e7 1.54179e8i 0.00328171 0.0186115i
\(683\) −4.61436e8 3.87191e8i −0.0554165 0.0465000i 0.614659 0.788793i \(-0.289294\pi\)
−0.670075 + 0.742293i \(0.733738\pi\)
\(684\) −1.53445e10 5.58492e9i −1.83339 0.667300i
\(685\) 1.17155e10 + 4.26409e9i 1.39265 + 0.506884i
\(686\) 3.70297e9 + 3.10716e9i 0.437942 + 0.367477i
\(687\) −1.86432e9 + 1.05731e10i −0.219367 + 1.24409i
\(688\) 1.73149e9 9.81976e9i 0.202703 1.14959i
\(689\) 6.66246e9 + 1.15397e10i 0.776010 + 1.34409i
\(690\) −1.72259e10 + 1.44542e10i −1.99622 + 1.67503i
\(691\) −2.77318e9 + 1.00936e9i −0.319746 + 0.116378i −0.496907 0.867804i \(-0.665531\pi\)
0.177161 + 0.984182i \(0.443309\pi\)
\(692\) −2.09684e9 + 3.63184e9i −0.240544 + 0.416635i
\(693\) 3.03048e9 + 5.24895e9i 0.345896 + 0.599109i
\(694\) −1.09086e10 9.15339e9i −1.23883 1.03950i
\(695\) 2.96379e8 5.13344e8i 0.0334889 0.0580045i
\(696\) 8.21172e8 + 4.65710e9i 0.0923212 + 0.523580i
\(697\) 2.12218e10 2.37393
\(698\) −1.52683e9 8.65908e9i −0.169940 0.963779i
\(699\) 7.02089e9 5.89122e9i 0.777538 0.652432i
\(700\) −1.19730e8 4.35782e7i −0.0131935 0.00480204i
\(701\) −1.28656e10 + 4.68270e9i −1.41064 + 0.513433i −0.931319 0.364205i \(-0.881341\pi\)
−0.479325 + 0.877637i \(0.659119\pi\)
\(702\) 2.97690e10 3.24777
\(703\) 2.55566e9 + 9.29574e9i 0.277433 + 1.00911i
\(704\) 1.12888e9 0.121939
\(705\) −2.59868e9 + 9.45843e8i −0.279313 + 0.101662i
\(706\) 4.36609e9 + 1.58913e9i 0.466956 + 0.169958i
\(707\) −4.42094e9 + 3.70961e9i −0.470486 + 0.394784i
\(708\) −6.87752e8 3.90043e9i −0.0728308 0.413044i
\(709\) 3.46954e9 0.365604 0.182802 0.983150i \(-0.441483\pi\)
0.182802 + 0.983150i \(0.441483\pi\)
\(710\) −1.93910e9 1.09972e10i −0.203327 1.15313i
\(711\) −1.68317e9 + 2.91534e9i −0.175625 + 0.304191i
\(712\) 2.74954e9 + 2.30714e9i 0.285483 + 0.239548i
\(713\) 3.19070e8 + 5.52645e8i 0.0329664 + 0.0570995i
\(714\) −2.43253e10 + 4.21327e10i −2.50101 + 4.33187i
\(715\) 2.02434e9 7.36801e8i 0.207116 0.0753840i
\(716\) −3.18468e9 + 2.67226e9i −0.324243 + 0.272072i
\(717\) 4.81428e8 + 8.33858e8i 0.0487769 + 0.0844841i
\(718\) 1.95061e9 1.10625e10i 0.196668 1.11536i
\(719\) 1.09837e9 6.22917e9i 0.110204 0.624999i −0.878809 0.477173i \(-0.841661\pi\)
0.989013 0.147826i \(-0.0472275\pi\)
\(720\) 2.13522e10 + 1.79166e10i 2.13196 + 1.78892i
\(721\) −3.51538e9 1.27950e9i −0.349301 0.127135i
\(722\) 1.21053e9 + 4.40598e8i 0.119701 + 0.0435675i
\(723\) −2.17608e10 1.82594e10i −2.14136 1.79682i
\(724\) 1.67623e9 9.50636e9i 0.164153 0.930956i
\(725\) 2.50649e7 1.42150e8i 0.00244277 0.0138537i
\(726\) −1.20011e10 2.07864e10i −1.16397 2.01605i
\(727\) −4.07533e9 + 3.41961e9i −0.393362 + 0.330070i −0.817921 0.575330i \(-0.804873\pi\)
0.424559 + 0.905400i \(0.360429\pi\)
\(728\) 3.47709e9 1.26556e9i 0.334007 0.121569i
\(729\) −3.62712e9 + 6.28236e9i −0.346750 + 0.600588i
\(730\) 4.93696e9 + 8.55107e9i 0.469710 + 0.813562i
\(731\) 1.27665e10 + 1.07124e10i 1.20882 + 1.01432i
\(732\) 4.63131e9 8.02166e9i 0.436430 0.755920i
\(733\) 1.54530e8 + 8.76385e8i 0.0144927 + 0.0821922i 0.991196 0.132401i \(-0.0422686\pi\)
−0.976704 + 0.214593i \(0.931157\pi\)
\(734\) −3.23313e9 −0.301778
\(735\) −2.31071e9 1.31047e10i −0.214654 1.21737i
\(736\) −1.11570e10 + 9.36186e9i −1.03152 + 0.865545i
\(737\) −2.26587e9 8.24710e8i −0.208497 0.0758865i
\(738\) −4.88584e10 + 1.77830e10i −4.47448 + 1.62858i
\(739\) 1.69245e10 1.54262 0.771311 0.636459i \(-0.219601\pi\)
0.771311 + 0.636459i \(0.219601\pi\)
\(740\) −7.05069e8 + 8.71071e9i −0.0639618 + 0.790210i
\(741\) −2.05882e10 −1.85889
\(742\) 2.89605e10 1.05408e10i 2.60251 0.947237i
\(743\) −4.04495e9 1.47224e9i −0.361787 0.131680i 0.154730 0.987957i \(-0.450549\pi\)
−0.516516 + 0.856277i \(0.672772\pi\)
\(744\) 2.80567e8 2.35424e8i 0.0249765 0.0209578i
\(745\) −3.62115e8 2.05366e9i −0.0320848 0.181962i
\(746\) 1.34116e10 1.18276
\(747\) 8.90204e9 + 5.04860e10i 0.781390 + 4.43148i
\(748\) −1.60834e9 + 2.78572e9i −0.140514 + 0.243378i
\(749\) 1.40014e10 + 1.17486e10i 1.21755 + 1.02164i
\(750\) 1.40734e10 + 2.43758e10i 1.21810 + 2.10982i
\(751\) 2.29790e9 3.98008e9i 0.197966 0.342888i −0.749903 0.661548i \(-0.769900\pi\)
0.947869 + 0.318661i \(0.103233\pi\)
\(752\) −2.05796e9 + 7.49035e8i −0.176471 + 0.0642303i
\(753\) 7.25131e9 6.08457e9i 0.618919 0.519335i
\(754\) −7.76168e9 1.34436e10i −0.659411 1.14213i
\(755\) −1.00666e9 + 5.70906e9i −0.0851273 + 0.482781i
\(756\) 5.26694e9 2.98703e10i 0.443335 2.51428i
\(757\) −1.79813e10 1.50881e10i −1.50655 1.26415i −0.870146 0.492794i \(-0.835976\pi\)
−0.636407 0.771354i \(-0.719580\pi\)
\(758\) 2.83515e10 + 1.03191e10i 2.36447 + 0.860595i
\(759\) −4.95595e9 1.80382e9i −0.411415 0.149743i
\(760\) −2.77687e9 2.33007e9i −0.229461 0.192540i
\(761\) −8.15464e8 + 4.62473e9i −0.0670747 + 0.380399i 0.932729 + 0.360578i \(0.117421\pi\)
−0.999804 + 0.0198209i \(0.993690\pi\)
\(762\) −5.13198e9 + 2.91049e10i −0.420187 + 2.38300i
\(763\) −6.01852e9 1.04244e10i −0.490517 0.849600i
\(764\) 1.17820e10 9.88629e9i 0.955858 0.802060i