Properties

Label 37.8.f.a.7.13
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 7.13
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.13

$q$-expansion

\(f(q)\) \(=\) \(q+(2.24172 - 0.815920i) q^{2} +(67.7355 + 24.6537i) q^{3} +(-93.6941 + 78.6187i) q^{4} +(-36.3337 - 206.059i) q^{5} +171.960 q^{6} +(278.285 + 1578.23i) q^{7} +(-298.567 + 517.134i) q^{8} +(2304.96 + 1934.09i) q^{9} +O(q^{10})\) \(q+(2.24172 - 0.815920i) q^{2} +(67.7355 + 24.6537i) q^{3} +(-93.6941 + 78.6187i) q^{4} +(-36.3337 - 206.059i) q^{5} +171.960 q^{6} +(278.285 + 1578.23i) q^{7} +(-298.567 + 517.134i) q^{8} +(2304.96 + 1934.09i) q^{9} +(-249.578 - 432.281i) q^{10} +(2056.02 - 3561.12i) q^{11} +(-8284.66 + 3015.37i) q^{12} +(-10957.6 + 9194.49i) q^{13} +(1911.55 + 3310.90i) q^{14} +(2619.03 - 14853.3i) q^{15} +(2471.19 - 14014.8i) q^{16} +(26139.1 + 21933.3i) q^{17} +(6745.14 + 2455.03i) q^{18} +(-13050.3 - 4749.93i) q^{19} +(19604.3 + 16450.0i) q^{20} +(-20059.5 + 113763. i) q^{21} +(1703.42 - 9660.60i) q^{22} +(18231.9 + 31578.7i) q^{23} +(-32972.9 + 27667.6i) q^{24} +(32273.4 - 11746.6i) q^{25} +(-17061.9 + 29552.0i) q^{26} +(29622.6 + 51307.9i) q^{27} +(-150152. - 125993. i) q^{28} +(-6446.71 + 11166.0i) q^{29} +(-6247.94 - 35433.8i) q^{30} +55442.1 q^{31} +(-19167.8 - 108706. i) q^{32} +(227060. - 190526. i) q^{33} +(76492.5 + 27841.0i) q^{34} +(315097. - 114686. i) q^{35} -368016. q^{36} +(-108513. - 288369. i) q^{37} -33130.8 q^{38} +(-968895. + 352649. i) q^{39} +(117408. + 42733.0i) q^{40} +(580000. - 486678. i) q^{41} +(47853.8 + 271392. i) q^{42} +197307. q^{43} +(87334.3 + 495297. i) q^{44} +(314788. - 545229. i) q^{45} +(66636.7 + 55914.8i) q^{46} +(-135317. - 234377. i) q^{47} +(512905. - 888377. i) q^{48} +(-1.63949e6 + 596727. i) q^{49} +(62763.8 - 52665.1i) q^{50} +(1.22981e6 + 2.13009e6i) q^{51} +(303801. - 1.72294e6i) q^{52} +(206888. - 1.17332e6i) q^{53} +(108269. + 90848.4i) q^{54} +(-808503. - 294271. i) q^{55} +(-899244. - 327298. i) q^{56} +(-766867. - 643478. i) q^{57} +(-5341.15 + 30291.1i) q^{58} +(253527. - 1.43783e6i) q^{59} +(922356. + 1.59757e6i) q^{60} +(735605. - 617246. i) q^{61} +(124286. - 45236.4i) q^{62} +(-2.41100e6 + 4.17598e6i) q^{63} +(779122. + 1.34948e6i) q^{64} +(2.29274e6 + 1.92383e6i) q^{65} +(353552. - 612370. i) q^{66} +(510855. + 2.89720e6i) q^{67} -4.17345e6 q^{68} +(456419. + 2.58848e6i) q^{69} +(612786. - 514188. i) q^{70} +(-2.74431e6 - 998846. i) q^{71} +(-1.68837e6 + 614516. i) q^{72} +3.69954e6 q^{73} +(-478542. - 557906. i) q^{74} +2.47565e6 q^{75} +(1.59617e6 - 580959. i) q^{76} +(6.19243e6 + 2.25386e6i) q^{77} +(-1.88426e6 + 1.58108e6i) q^{78} +(419900. + 2.38137e6i) q^{79} -2.97766e6 q^{80} +(-401114. - 2.27483e6i) q^{81} +(903109. - 1.56423e6i) q^{82} +(2.27278e6 + 1.90709e6i) q^{83} +(-7.06444e6 - 1.22360e7i) q^{84} +(3.56982e6 - 6.18312e6i) q^{85} +(442308. - 160987. i) q^{86} +(-711955. + 597401. i) q^{87} +(1.22772e6 + 2.12647e6i) q^{88} +(-520678. + 2.95291e6i) q^{89} +(260804. - 1.47909e6i) q^{90} +(-1.75604e7 - 1.47349e7i) q^{91} +(-4.19090e6 - 1.52536e6i) q^{92} +(3.75540e6 + 1.36685e6i) q^{93} +(-494577. - 414999. i) q^{94} +(-504598. + 2.86172e6i) q^{95} +(1.38166e6 - 7.83580e6i) q^{96} +(4.14322e6 + 7.17627e6i) q^{97} +(-3.18841e6 + 2.67539e6i) q^{98} +(1.16266e7 - 4.23172e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.24172 0.815920i 0.198142 0.0721179i −0.241043 0.970514i \(-0.577489\pi\)
0.439185 + 0.898397i \(0.355267\pi\)
\(3\) 67.7355 + 24.6537i 1.44841 + 0.527179i 0.942147 0.335199i \(-0.108804\pi\)
0.506265 + 0.862378i \(0.331026\pi\)
\(4\) −93.6941 + 78.6187i −0.731985 + 0.614208i
\(5\) −36.3337 206.059i −0.129991 0.737218i −0.978217 0.207584i \(-0.933440\pi\)
0.848226 0.529635i \(-0.177671\pi\)
\(6\) 171.960 0.325011
\(7\) 278.285 + 1578.23i 0.306652 + 1.73911i 0.615624 + 0.788040i \(0.288904\pi\)
−0.308972 + 0.951071i \(0.599985\pi\)
\(8\) −298.567 + 517.134i −0.206171 + 0.357099i
\(9\) 2304.96 + 1934.09i 1.05394 + 0.884357i
\(10\) −249.578 432.281i −0.0789234 0.136699i
\(11\) 2056.02 3561.12i 0.465749 0.806701i −0.533486 0.845809i \(-0.679118\pi\)
0.999235 + 0.0391079i \(0.0124516\pi\)
\(12\) −8284.66 + 3015.37i −1.38401 + 0.503740i
\(13\) −10957.6 + 9194.49i −1.38329 + 1.16072i −0.415310 + 0.909680i \(0.636327\pi\)
−0.967978 + 0.251036i \(0.919229\pi\)
\(14\) 1911.55 + 3310.90i 0.186182 + 0.322476i
\(15\) 2619.03 14853.3i 0.200365 1.13632i
\(16\) 2471.19 14014.8i 0.150830 0.855397i
\(17\) 26139.1 + 21933.3i 1.29039 + 1.08276i 0.991722 + 0.128405i \(0.0409858\pi\)
0.298665 + 0.954358i \(0.403459\pi\)
\(18\) 6745.14 + 2455.03i 0.272607 + 0.0992208i
\(19\) −13050.3 4749.93i −0.436499 0.158873i 0.114418 0.993433i \(-0.463500\pi\)
−0.550917 + 0.834560i \(0.685722\pi\)
\(20\) 19604.3 + 16450.0i 0.547957 + 0.459791i
\(21\) −20059.5 + 113763.i −0.472664 + 2.68061i
\(22\) 1703.42 9660.60i 0.0341070 0.193430i
\(23\) 18231.9 + 31578.7i 0.312454 + 0.541186i 0.978893 0.204374i \(-0.0655158\pi\)
−0.666439 + 0.745559i \(0.732182\pi\)
\(24\) −32972.9 + 27667.6i −0.486875 + 0.408537i
\(25\) 32273.4 11746.6i 0.413100 0.150356i
\(26\) −17061.9 + 29552.0i −0.190379 + 0.329747i
\(27\) 29622.6 + 51307.9i 0.289635 + 0.501662i
\(28\) −150152. 125993.i −1.29264 1.08466i
\(29\) −6446.71 + 11166.0i −0.0490846 + 0.0850170i −0.889524 0.456889i \(-0.848964\pi\)
0.840439 + 0.541906i \(0.182297\pi\)
\(30\) −6247.94 35433.8i −0.0422486 0.239604i
\(31\) 55442.1 0.334252 0.167126 0.985936i \(-0.446551\pi\)
0.167126 + 0.985936i \(0.446551\pi\)
\(32\) −19167.8 108706.i −0.103406 0.586445i
\(33\) 227060. 190526.i 1.09987 0.922902i
\(34\) 76492.5 + 27841.0i 0.333767 + 0.121481i
\(35\) 315097. 114686.i 1.24224 0.452139i
\(36\) −368016. −1.31464
\(37\) −108513. 288369.i −0.352188 0.935929i
\(38\) −33130.8 −0.0979465
\(39\) −968895. + 352649.i −2.61548 + 0.951955i
\(40\) 117408. + 42733.0i 0.290060 + 0.105573i
\(41\) 580000. 486678.i 1.31427 1.10280i 0.326784 0.945099i \(-0.394035\pi\)
0.987486 0.157704i \(-0.0504093\pi\)
\(42\) 47853.8 + 271392.i 0.0996652 + 0.565229i
\(43\) 197307. 0.378446 0.189223 0.981934i \(-0.439403\pi\)
0.189223 + 0.981934i \(0.439403\pi\)
\(44\) 87334.3 + 495297.i 0.154561 + 0.876560i
\(45\) 314788. 545229.i 0.514961 0.891939i
\(46\) 66636.7 + 55914.8i 0.100939 + 0.0846982i
\(47\) −135317. 234377.i −0.190113 0.329285i 0.755175 0.655524i \(-0.227552\pi\)
−0.945287 + 0.326239i \(0.894219\pi\)
\(48\) 512905. 888377.i 0.669411 1.15945i
\(49\) −1.63949e6 + 596727.i −1.99078 + 0.724585i
\(50\) 62763.8 52665.1i 0.0710091 0.0595837i
\(51\) 1.22981e6 + 2.13009e6i 1.29820 + 2.24855i
\(52\) 303801. 1.72294e6i 0.299624 1.69925i
\(53\) 206888. 1.17332e6i 0.190884 1.08255i −0.727276 0.686345i \(-0.759214\pi\)
0.918160 0.396210i \(-0.129675\pi\)
\(54\) 108269. + 90848.4i 0.0935676 + 0.0785125i
\(55\) −808503. 294271.i −0.655258 0.238494i
\(56\) −899244. 327298.i −0.684257 0.249049i
\(57\) −766867. 643478.i −0.548477 0.460227i
\(58\) −5341.15 + 30291.1i −0.00359448 + 0.0203853i
\(59\) 253527. 1.43783e6i 0.160710 0.911432i −0.792668 0.609653i \(-0.791309\pi\)
0.953378 0.301778i \(-0.0975802\pi\)
\(60\) 922356. + 1.59757e6i 0.551276 + 0.954838i
\(61\) 735605. 617246.i 0.414945 0.348180i −0.411291 0.911504i \(-0.634922\pi\)
0.826236 + 0.563324i \(0.190478\pi\)
\(62\) 124286. 45236.4i 0.0662294 0.0241055i
\(63\) −2.41100e6 + 4.17598e6i −1.21480 + 2.10410i
\(64\) 779122. + 1.34948e6i 0.371514 + 0.643481i
\(65\) 2.29274e6 + 1.92383e6i 1.03552 + 0.868902i
\(66\) 353552. 612370.i 0.151373 0.262186i
\(67\) 510855. + 2.89720e6i 0.207508 + 1.17684i 0.893443 + 0.449176i \(0.148282\pi\)
−0.685935 + 0.727663i \(0.740607\pi\)
\(68\) −4.17345e6 −1.60959
\(69\) 456419. + 2.58848e6i 0.167260 + 0.948579i
\(70\) 612786. 514188.i 0.213533 0.179176i
\(71\) −2.74431e6 998846.i −0.909973 0.331203i −0.155731 0.987800i \(-0.549773\pi\)
−0.754242 + 0.656596i \(0.771995\pi\)
\(72\) −1.68837e6 + 614516.i −0.533094 + 0.194030i
\(73\) 3.69954e6 1.11306 0.556529 0.830828i \(-0.312133\pi\)
0.556529 + 0.830828i \(0.312133\pi\)
\(74\) −478542. 557906.i −0.137281 0.160048i
\(75\) 2.47565e6 0.677603
\(76\) 1.59617e6 580959.i 0.417092 0.151809i
\(77\) 6.19243e6 + 2.25386e6i 1.54577 + 0.562613i
\(78\) −1.88426e6 + 1.58108e6i −0.449583 + 0.377245i
\(79\) 419900. + 2.38137e6i 0.0958189 + 0.543416i 0.994493 + 0.104800i \(0.0334201\pi\)
−0.898674 + 0.438616i \(0.855469\pi\)
\(80\) −2.97766e6 −0.650221
\(81\) −401114. 2.27483e6i −0.0838631 0.475611i
\(82\) 903109. 1.56423e6i 0.180881 0.313294i
\(83\) 2.27278e6 + 1.90709e6i 0.436300 + 0.366099i 0.834323 0.551277i \(-0.185859\pi\)
−0.398023 + 0.917375i \(0.630304\pi\)
\(84\) −7.06444e6 1.22360e7i −1.30047 2.25248i
\(85\) 3.56982e6 6.18312e6i 0.630493 1.09205i
\(86\) 442308. 160987.i 0.0749861 0.0272927i
\(87\) −711955. + 597401.i −0.115914 + 0.0972633i
\(88\) 1.22772e6 + 2.12647e6i 0.192048 + 0.332637i
\(89\) −520678. + 2.95291e6i −0.0782896 + 0.444002i 0.920314 + 0.391180i \(0.127933\pi\)
−0.998604 + 0.0528227i \(0.983178\pi\)
\(90\) 260804. 1.47909e6i 0.0377108 0.213869i
\(91\) −1.75604e7 1.47349e7i −2.44280 2.04976i
\(92\) −4.19090e6 1.52536e6i −0.561112 0.204228i
\(93\) 3.75540e6 + 1.36685e6i 0.484134 + 0.176211i
\(94\) −494577. 414999.i −0.0614167 0.0515347i
\(95\) −504598. + 2.86172e6i −0.0603827 + 0.342448i
\(96\) 1.38166e6 7.83580e6i 0.159387 0.903928i
\(97\) 4.14322e6 + 7.17627e6i 0.460932 + 0.798358i 0.999008 0.0445385i \(-0.0141817\pi\)
−0.538075 + 0.842897i \(0.680848\pi\)
\(98\) −3.18841e6 + 2.67539e6i −0.342202 + 0.287142i
\(99\) 1.16266e7 4.23172e6i 1.20428 0.438322i
\(100\) −2.10033e6 + 3.63788e6i −0.210033 + 0.363788i
\(101\) 4.74405e6 + 8.21693e6i 0.458168 + 0.793569i 0.998864 0.0476482i \(-0.0151727\pi\)
−0.540697 + 0.841218i \(0.681839\pi\)
\(102\) 4.49488e6 + 3.77165e6i 0.419389 + 0.351909i
\(103\) −3.27415e6 + 5.67100e6i −0.295236 + 0.511363i −0.975040 0.222031i \(-0.928731\pi\)
0.679804 + 0.733394i \(0.262065\pi\)
\(104\) −1.48321e6 8.41171e6i −0.129296 0.733276i
\(105\) 2.41707e7 2.03764
\(106\) −493549. 2.79906e6i −0.0402494 0.228266i
\(107\) −693979. + 582318.i −0.0547650 + 0.0459533i −0.669759 0.742578i \(-0.733603\pi\)
0.614994 + 0.788532i \(0.289158\pi\)
\(108\) −6.80922e6 2.47835e6i −0.520133 0.189313i
\(109\) −1.18487e7 + 4.31258e6i −0.876352 + 0.318966i −0.740737 0.671796i \(-0.765523\pi\)
−0.135615 + 0.990762i \(0.543301\pi\)
\(110\) −2.05254e6 −0.147034
\(111\) −240796. 2.22081e7i −0.0167116 1.54128i
\(112\) 2.28063e7 1.53388
\(113\) −9.27283e6 + 3.37504e6i −0.604558 + 0.220041i −0.626120 0.779726i \(-0.715358\pi\)
0.0215625 + 0.999768i \(0.493136\pi\)
\(114\) −2.24413e6 816797.i −0.141867 0.0516353i
\(115\) 5.84463e6 4.90422e6i 0.358356 0.300696i
\(116\) −273840. 1.55302e6i −0.0162890 0.0923793i
\(117\) −4.30397e7 −2.48438
\(118\) −604813. 3.43006e6i −0.0338871 0.192183i
\(119\) −2.73417e7 + 4.73573e7i −1.48735 + 2.57616i
\(120\) 6.89917e6 + 5.78909e6i 0.364471 + 0.305827i
\(121\) 1.28918e6 + 2.23293e6i 0.0661556 + 0.114585i
\(122\) 1.14540e6 1.98389e6i 0.0571081 0.0989141i
\(123\) 5.12850e7 1.86662e7i 2.48498 0.904458i
\(124\) −5.19460e6 + 4.35879e6i −0.244667 + 0.205300i
\(125\) −1.17664e7 2.03801e7i −0.538840 0.933298i
\(126\) −1.99753e6 + 1.13286e7i −0.0889605 + 0.504520i
\(127\) −1.11592e6 + 6.32868e6i −0.0483414 + 0.274158i −0.999392 0.0348790i \(-0.988895\pi\)
0.951050 + 0.309037i \(0.100007\pi\)
\(128\) 1.36711e7 + 1.14714e7i 0.576193 + 0.483483i
\(129\) 1.33647e7 + 4.86436e6i 0.548145 + 0.199509i
\(130\) 6.70937e6 + 2.44201e6i 0.267843 + 0.0974868i
\(131\) −2.32520e7 1.95108e7i −0.903673 0.758272i 0.0672316 0.997737i \(-0.478583\pi\)
−0.970905 + 0.239465i \(0.923028\pi\)
\(132\) −6.29529e6 + 3.57024e7i −0.238236 + 1.35110i
\(133\) 3.86478e6 2.19183e7i 0.142444 0.807840i
\(134\) 3.50908e6 + 6.07791e6i 0.125987 + 0.218216i
\(135\) 9.49614e6 7.96821e6i 0.332184 0.278736i
\(136\) −1.91468e7 + 6.96885e6i −0.652694 + 0.237561i
\(137\) 8.51714e6 1.47521e7i 0.282991 0.490154i −0.689129 0.724638i \(-0.742007\pi\)
0.972120 + 0.234484i \(0.0753402\pi\)
\(138\) 3.13516e6 + 5.43026e6i 0.101551 + 0.175891i
\(139\) 2.50919e7 + 2.10546e7i 0.792467 + 0.664959i 0.946355 0.323130i \(-0.104735\pi\)
−0.153888 + 0.988088i \(0.549179\pi\)
\(140\) −2.05063e7 + 3.55179e7i −0.631595 + 1.09395i
\(141\) −3.38754e6 1.92117e7i −0.101770 0.577164i
\(142\) −6.96696e6 −0.204190
\(143\) 1.02138e7 + 5.79253e7i 0.292086 + 1.65650i
\(144\) 3.28019e7 2.75241e7i 0.915441 0.768146i
\(145\) 2.53509e6 + 922698.i 0.0690566 + 0.0251346i
\(146\) 8.29335e6 3.01853e6i 0.220544 0.0802714i
\(147\) −1.25763e8 −3.26545
\(148\) 3.28382e7 + 1.84874e7i 0.832652 + 0.468769i
\(149\) 4.67382e7 1.15750 0.578749 0.815506i \(-0.303541\pi\)
0.578749 + 0.815506i \(0.303541\pi\)
\(150\) 5.54973e6 2.01994e6i 0.134262 0.0488673i
\(151\) −2.64989e7 9.64481e6i −0.626338 0.227968i 0.00929881 0.999957i \(-0.497040\pi\)
−0.635637 + 0.771988i \(0.719262\pi\)
\(152\) 6.35275e6 5.33059e6i 0.146727 0.123118i
\(153\) 1.78286e7 + 1.01111e8i 0.402435 + 2.28232i
\(154\) 1.57207e7 0.346856
\(155\) −2.01442e6 1.14243e7i −0.0434499 0.246417i
\(156\) 6.30550e7 1.09214e8i 1.32979 2.30326i
\(157\) −4.37049e7 3.66727e7i −0.901324 0.756301i 0.0691249 0.997608i \(-0.477979\pi\)
−0.970449 + 0.241308i \(0.922424\pi\)
\(158\) 2.88431e6 + 4.99577e6i 0.0581757 + 0.100763i
\(159\) 4.29403e7 7.43747e7i 0.847178 1.46736i
\(160\) −2.17033e7 + 7.89937e6i −0.418896 + 0.152466i
\(161\) −4.47647e7 + 3.75621e7i −0.845367 + 0.709348i
\(162\) −2.75527e6 4.77227e6i −0.0509169 0.0881906i
\(163\) 563596. 3.19631e6i 0.0101932 0.0578087i −0.979287 0.202478i \(-0.935101\pi\)
0.989480 + 0.144669i \(0.0462117\pi\)
\(164\) −1.60806e7 + 9.11977e7i −0.284675 + 1.61447i
\(165\) −4.75095e7 3.98652e7i −0.823355 0.690877i
\(166\) 6.65099e6 + 2.42076e6i 0.112852 + 0.0410746i
\(167\) 7.09611e6 + 2.58277e6i 0.117900 + 0.0429120i 0.400296 0.916386i \(-0.368907\pi\)
−0.282397 + 0.959298i \(0.591129\pi\)
\(168\) −5.28416e7 4.43394e7i −0.859793 0.721452i
\(169\) 2.46335e7 1.39703e8i 0.392575 2.22640i
\(170\) 2.95763e6 1.67735e7i 0.0461713 0.261850i
\(171\) −2.08937e7 3.61889e7i −0.319542 0.553463i
\(172\) −1.84865e7 + 1.55120e7i −0.277017 + 0.232445i
\(173\) 5.50595e7 2.00400e7i 0.808483 0.294264i 0.0954861 0.995431i \(-0.469559\pi\)
0.712997 + 0.701167i \(0.247337\pi\)
\(174\) −1.10857e6 + 1.92011e6i −0.0159530 + 0.0276314i
\(175\) 2.75200e7 + 4.76660e7i 0.388164 + 0.672319i
\(176\) −4.48277e7 3.76149e7i −0.619801 0.520075i
\(177\) 5.26205e7 9.11415e7i 0.713262 1.23541i
\(178\) 1.24212e6 + 7.04444e6i 0.0165080 + 0.0936217i
\(179\) −7.97142e7 −1.03884 −0.519422 0.854518i \(-0.673853\pi\)
−0.519422 + 0.854518i \(0.673853\pi\)
\(180\) 1.33714e7 + 7.58330e7i 0.170893 + 0.969180i
\(181\) 2.61774e7 2.19654e7i 0.328134 0.275337i −0.463805 0.885937i \(-0.653516\pi\)
0.791939 + 0.610600i \(0.209072\pi\)
\(182\) −5.13880e7 1.87037e7i −0.631846 0.229973i
\(183\) 6.50440e7 2.36741e7i 0.784564 0.285558i
\(184\) −2.17739e7 −0.257676
\(185\) −5.54783e7 + 3.28375e7i −0.644203 + 0.381302i
\(186\) 9.53381e6 0.108635
\(187\) 1.31850e8 4.79894e7i 1.47446 0.536661i
\(188\) 3.11048e7 + 1.13212e7i 0.341409 + 0.124263i
\(189\) −7.27322e7 + 6.10295e7i −0.783628 + 0.657542i
\(190\) 1.20376e6 + 6.82689e6i 0.0127322 + 0.0722080i
\(191\) 5.60990e7 0.582557 0.291279 0.956638i \(-0.405919\pi\)
0.291279 + 0.956638i \(0.405919\pi\)
\(192\) 1.95046e7 + 1.10616e8i 0.198876 + 1.12788i
\(193\) −2.22235e7 + 3.84922e7i −0.222516 + 0.385409i −0.955571 0.294760i \(-0.904760\pi\)
0.733055 + 0.680169i \(0.238094\pi\)
\(194\) 1.51432e7 + 1.27067e7i 0.148906 + 0.124947i
\(195\) 1.07870e8 + 1.86836e8i 1.04179 + 1.80443i
\(196\) 1.06697e8 1.84804e8i 1.01218 1.75314i
\(197\) −3.60615e7 + 1.31253e7i −0.336056 + 0.122315i −0.504536 0.863391i \(-0.668336\pi\)
0.168480 + 0.985705i \(0.446114\pi\)
\(198\) 2.26108e7 1.89727e7i 0.207008 0.173700i
\(199\) −1.52341e7 2.63863e7i −0.137035 0.237352i 0.789338 0.613959i \(-0.210424\pi\)
−0.926373 + 0.376607i \(0.877091\pi\)
\(200\) −3.56124e6 + 2.01968e7i −0.0314773 + 0.178516i
\(201\) −3.68238e7 + 2.08838e8i −0.319847 + 1.81394i
\(202\) 1.73392e7 + 1.45493e7i 0.148013 + 0.124198i
\(203\) −1.94166e7 7.06706e6i −0.162906 0.0592929i
\(204\) −2.82691e8 1.02891e8i −2.33134 0.848540i
\(205\) −1.21358e8 1.01831e8i −0.983851 0.825549i
\(206\) −2.71266e6 + 1.53843e7i −0.0216202 + 0.122614i
\(207\) −1.90521e7 + 1.08050e8i −0.149295 + 0.846695i
\(208\) 1.01781e8 + 1.76290e8i 0.784233 + 1.35833i
\(209\) −4.37468e7 + 3.67079e7i −0.331462 + 0.278130i
\(210\) 5.41840e7 1.97214e7i 0.403742 0.146950i
\(211\) 6.60211e7 1.14352e8i 0.483832 0.838021i −0.515996 0.856591i \(-0.672578\pi\)
0.999828 + 0.0185698i \(0.00591128\pi\)
\(212\) 7.28605e7 + 1.26198e8i 0.525190 + 0.909656i
\(213\) −1.61262e8 1.35315e8i −1.14341 0.959437i
\(214\) −1.08058e6 + 1.87163e6i −0.00753721 + 0.0130548i
\(215\) −7.16891e6 4.06569e7i −0.0491947 0.278997i
\(216\) −3.53774e7 −0.238857
\(217\) 1.54287e7 + 8.75004e7i 0.102499 + 0.581301i
\(218\) −2.30428e7 + 1.93352e7i −0.150639 + 0.126401i
\(219\) 2.50590e8 + 9.12075e7i 1.61217 + 0.586781i
\(220\) 9.88872e7 3.59920e7i 0.626125 0.227891i
\(221\) −4.88087e8 −3.04176
\(222\) −1.86598e7 4.95879e7i −0.114465 0.304187i
\(223\) 8.53166e7 0.515189 0.257594 0.966253i \(-0.417070\pi\)
0.257594 + 0.966253i \(0.417070\pi\)
\(224\) 1.66229e8 6.05023e7i 0.988184 0.359670i
\(225\) 9.71077e7 + 3.53443e7i 0.568349 + 0.206862i
\(226\) −1.80334e7 + 1.51318e7i −0.103920 + 0.0871988i
\(227\) −5.90929e7 3.35132e8i −0.335309 1.90163i −0.424165 0.905585i \(-0.639432\pi\)
0.0888568 0.996044i \(-0.471679\pi\)
\(228\) 1.22440e8 0.684152
\(229\) −1.01695e7 5.76744e7i −0.0559600 0.317365i 0.943959 0.330062i \(-0.107070\pi\)
−0.999919 + 0.0126967i \(0.995958\pi\)
\(230\) 9.10058e6 1.57627e7i 0.0493198 0.0854244i
\(231\) 3.63882e8 + 3.05333e8i 1.94231 + 1.62979i
\(232\) −3.84956e6 6.66763e6i −0.0202396 0.0350561i
\(233\) −4.64369e7 + 8.04310e7i −0.240501 + 0.416560i −0.960857 0.277044i \(-0.910645\pi\)
0.720356 + 0.693605i \(0.243978\pi\)
\(234\) −9.64831e7 + 3.51170e7i −0.492261 + 0.179168i
\(235\) −4.33788e7 + 3.63991e7i −0.218042 + 0.182959i
\(236\) 8.92859e7 + 1.54648e8i 0.442172 + 0.765864i
\(237\) −3.02675e7 + 1.71656e8i −0.147692 + 0.837604i
\(238\) −2.26528e7 + 1.28471e8i −0.108919 + 0.617710i
\(239\) −1.76775e8 1.48332e8i −0.837585 0.702818i 0.119434 0.992842i \(-0.461892\pi\)
−0.957019 + 0.290025i \(0.906337\pi\)
\(240\) −2.01694e8 7.34105e7i −0.941788 0.342783i
\(241\) −3.45611e8 1.25792e8i −1.59048 0.578887i −0.613031 0.790059i \(-0.710050\pi\)
−0.977449 + 0.211172i \(0.932272\pi\)
\(242\) 4.71189e6 + 3.95375e6i 0.0213718 + 0.0179331i
\(243\) 5.14129e7 2.91577e8i 0.229853 1.30356i
\(244\) −2.03948e7 + 1.15665e8i −0.0898783 + 0.509725i
\(245\) 1.82530e8 + 3.16151e8i 0.792961 + 1.37345i
\(246\) 9.97367e7 8.36890e7i 0.427152 0.358423i
\(247\) 1.86673e8 6.79434e7i 0.788211 0.286885i
\(248\) −1.65532e7 + 2.86710e7i −0.0689130 + 0.119361i
\(249\) 1.06931e8 + 1.85210e8i 0.438942 + 0.760270i
\(250\) −4.30056e7 3.60860e7i −0.174074 0.146066i
\(251\) −1.91377e8 + 3.31475e8i −0.763892 + 1.32310i 0.176938 + 0.984222i \(0.443381\pi\)
−0.940830 + 0.338878i \(0.889953\pi\)
\(252\) −1.02413e8 5.80815e8i −0.403139 2.28631i
\(253\) 1.49941e8 0.582100
\(254\) 2.66212e6 + 1.50977e7i 0.0101932 + 0.0578085i
\(255\) 3.94241e8 3.30807e8i 1.48892 1.24935i
\(256\) −1.47420e8 5.36565e7i −0.549182 0.199886i
\(257\) 3.17896e8 1.15705e8i 1.16821 0.425192i 0.316184 0.948698i \(-0.397598\pi\)
0.852022 + 0.523505i \(0.175376\pi\)
\(258\) 3.39289e7 0.122999
\(259\) 4.24916e8 2.51507e8i 1.51969 0.899499i
\(260\) −3.66065e8 −1.29167
\(261\) −3.64555e7 + 1.32687e7i −0.126917 + 0.0461941i
\(262\) −6.80439e7 2.47659e7i −0.233741 0.0850747i
\(263\) −2.56142e8 + 2.14928e8i −0.868230 + 0.728532i −0.963725 0.266898i \(-0.914001\pi\)
0.0954946 + 0.995430i \(0.469557\pi\)
\(264\) 3.07348e7 + 1.74305e8i 0.102805 + 0.583039i
\(265\) −2.49289e8 −0.822893
\(266\) −9.21979e6 5.22880e7i −0.0300355 0.170340i
\(267\) −1.08069e8 + 1.87180e8i −0.347464 + 0.601826i
\(268\) −2.75638e8 2.31288e8i −0.874717 0.733975i
\(269\) 1.53895e8 + 2.66555e8i 0.482051 + 0.834936i 0.999788 0.0206036i \(-0.00655881\pi\)
−0.517737 + 0.855540i \(0.673225\pi\)
\(270\) 1.47863e7 2.56106e7i 0.0457179 0.0791857i
\(271\) −8.75365e6 + 3.18607e6i −0.0267175 + 0.00972439i −0.355344 0.934735i \(-0.615636\pi\)
0.328627 + 0.944460i \(0.393414\pi\)
\(272\) 3.71987e8 3.12134e8i 1.12082 0.940480i
\(273\) −8.26190e8 1.43100e9i −2.45760 4.25668i
\(274\) 7.05652e6 4.00195e7i 0.0207235 0.117529i
\(275\) 2.45237e7 1.39081e8i 0.0711085 0.403276i
\(276\) −2.46267e8 2.06642e8i −0.705057 0.591613i
\(277\) −7.70644e7 2.80492e7i −0.217859 0.0792941i 0.230785 0.973005i \(-0.425871\pi\)
−0.448644 + 0.893711i \(0.648093\pi\)
\(278\) 7.34279e7 + 2.67256e7i 0.204977 + 0.0746054i
\(279\) 1.27792e8 + 1.07230e8i 0.352280 + 0.295598i
\(280\) −3.47697e7 + 1.97189e8i −0.0946560 + 0.536821i
\(281\) 9.37572e7 5.31724e8i 0.252077 1.42960i −0.551390 0.834248i \(-0.685902\pi\)
0.803467 0.595350i \(-0.202987\pi\)
\(282\) −2.32692e7 4.03034e7i −0.0617887 0.107021i
\(283\) −2.77052e7 + 2.32474e7i −0.0726622 + 0.0609708i −0.678395 0.734697i \(-0.737324\pi\)
0.605733 + 0.795668i \(0.292880\pi\)
\(284\) 3.35653e8 1.22168e8i 0.869514 0.316477i
\(285\) −1.04731e8 + 1.81400e8i −0.267990 + 0.464173i
\(286\) 7.01589e7 + 1.21519e8i 0.177338 + 0.307158i
\(287\) 9.29495e8 + 7.79939e8i 2.32092 + 1.94748i
\(288\) 1.66066e8 2.87634e8i 0.409644 0.709523i
\(289\) 1.30928e8 + 7.42532e8i 0.319074 + 1.80956i
\(290\) 6.43582e6 0.0154957
\(291\) 1.03722e8 + 5.88234e8i 0.246742 + 1.39935i
\(292\) −3.46625e8 + 2.90853e8i −0.814742 + 0.683650i
\(293\) 4.00550e8 + 1.45788e8i 0.930294 + 0.338599i 0.762326 0.647193i \(-0.224057\pi\)
0.167968 + 0.985792i \(0.446279\pi\)
\(294\) −2.81927e8 + 1.02613e8i −0.647024 + 0.235498i
\(295\) −3.05488e8 −0.692815
\(296\) 1.81524e8 + 2.99820e7i 0.406830 + 0.0671955i
\(297\) 2.43618e8 0.539588
\(298\) 1.04774e8 3.81346e7i 0.229349 0.0834762i
\(299\) −4.90128e8 1.78392e8i −1.06038 0.385945i
\(300\) −2.31954e8 + 1.94633e8i −0.495995 + 0.416189i
\(301\) 5.49076e7 + 3.11397e8i 0.116051 + 0.658159i
\(302\) −6.72726e7 −0.140545
\(303\) 1.18763e8 + 6.73537e8i 0.245262 + 1.39095i
\(304\) −9.88193e7 + 1.71160e8i −0.201736 + 0.349418i
\(305\) −1.53916e8 1.29151e8i −0.310624 0.260644i
\(306\) 1.22465e8 + 2.12116e8i 0.244336 + 0.423202i
\(307\) 1.55091e7 2.68626e7i 0.0305917 0.0529864i −0.850324 0.526259i \(-0.823594\pi\)
0.880916 + 0.473273i \(0.156928\pi\)
\(308\) −7.57390e8 + 2.75667e8i −1.47704 + 0.537598i
\(309\) −3.61588e8 + 3.03408e8i −0.697203 + 0.585023i
\(310\) −1.38371e7 2.39666e7i −0.0263803 0.0456920i
\(311\) 7.72065e7 4.37860e8i 0.145543 0.825417i −0.821386 0.570373i \(-0.806799\pi\)
0.966929 0.255045i \(-0.0820901\pi\)
\(312\) 1.06914e8 6.06338e8i 0.199293 1.13025i
\(313\) 2.04604e8 + 1.71683e8i 0.377145 + 0.316462i 0.811581 0.584241i \(-0.198608\pi\)
−0.434435 + 0.900703i \(0.643052\pi\)
\(314\) −1.27896e8 4.65504e7i −0.233133 0.0848535i
\(315\) 9.48098e8 + 3.45080e8i 1.70910 + 0.622060i
\(316\) −2.26562e8 1.90108e8i −0.403909 0.338919i
\(317\) −1.28310e7 + 7.27681e7i −0.0226231 + 0.128302i −0.994028 0.109128i \(-0.965194\pi\)
0.971405 + 0.237430i \(0.0763052\pi\)
\(318\) 3.55763e7 2.01763e8i 0.0620392 0.351842i
\(319\) 2.65091e7 + 4.59151e7i 0.0457222 + 0.0791932i
\(320\) 2.49763e8 2.09576e8i 0.426093 0.357534i
\(321\) −6.13634e7 + 2.23344e7i −0.103548 + 0.0376884i
\(322\) −6.97025e7 + 1.20728e8i −0.116346 + 0.201518i
\(323\) −2.36942e8 4.10396e8i −0.391232 0.677633i
\(324\) 2.16426e8 + 1.81603e8i 0.353511 + 0.296631i
\(325\) −2.45634e8 + 4.25451e8i −0.396915 + 0.687477i
\(326\) −1.34451e6 7.62510e6i −0.00214933 0.0121894i
\(327\) −9.08900e8 −1.43747
\(328\) 7.85085e7 + 4.45244e8i 0.122845 + 0.696690i
\(329\) 3.32244e8 2.78786e8i 0.514365 0.431603i
\(330\) −1.39030e8 5.06028e7i −0.212966 0.0775132i
\(331\) 2.79997e8 1.01910e8i 0.424380 0.154462i −0.120997 0.992653i \(-0.538609\pi\)
0.545376 + 0.838191i \(0.316387\pi\)
\(332\) −3.62880e8 −0.544226
\(333\) 3.07614e8 8.74552e8i 0.456512 1.29787i
\(334\) 1.80149e7 0.0264556
\(335\) 5.78432e8 2.10532e8i 0.840613 0.305958i
\(336\) 1.54480e9 + 5.62261e8i 2.22169 + 0.808631i
\(337\) 5.47308e8 4.59246e8i 0.778981 0.653643i −0.164011 0.986459i \(-0.552443\pi\)
0.942992 + 0.332816i \(0.107999\pi\)
\(338\) −5.87654e7 3.33275e8i −0.0827777 0.469456i
\(339\) −7.11307e8 −0.991650
\(340\) 1.51637e8 + 8.59976e8i 0.209232 + 1.18662i
\(341\) 1.13990e8 1.97436e8i 0.155678 0.269641i
\(342\) −7.63650e7 6.40779e7i −0.103229 0.0866197i
\(343\) −7.38122e8 1.27846e9i −0.987640 1.71064i
\(344\) −5.89096e7 + 1.02034e8i −0.0780245 + 0.135142i
\(345\) 5.16796e8 1.88098e8i 0.677567 0.246614i
\(346\) 1.07077e8 8.98484e7i 0.138973 0.116612i
\(347\) 2.72773e8 + 4.72457e8i 0.350468 + 0.607029i 0.986332 0.164773i \(-0.0526891\pi\)
−0.635863 + 0.771802i \(0.719356\pi\)
\(348\) 1.97391e7 1.11946e8i 0.0251073 0.142391i
\(349\) −9.68329e7 + 5.49167e8i −0.121937 + 0.691536i 0.861144 + 0.508361i \(0.169749\pi\)
−0.983080 + 0.183175i \(0.941363\pi\)
\(350\) 1.00584e8 + 8.43999e7i 0.125398 + 0.105221i
\(351\) −7.96342e8 2.89845e8i −0.982935 0.357759i
\(352\) −4.26524e8 1.55242e8i −0.521247 0.189719i
\(353\) −1.14812e9 9.63383e8i −1.38923 1.16570i −0.965651 0.259843i \(-0.916329\pi\)
−0.423579 0.905859i \(-0.639226\pi\)
\(354\) 4.35965e7 2.47248e8i 0.0522324 0.296225i
\(355\) −1.06110e8 + 6.01780e8i −0.125880 + 0.713902i
\(356\) −1.83370e8 3.17605e8i −0.215403 0.373089i
\(357\) −3.01954e9 + 2.53370e9i −3.51239 + 2.94724i
\(358\) −1.78697e8 + 6.50404e7i −0.205839 + 0.0749192i
\(359\) −2.80444e8 + 4.85743e8i −0.319901 + 0.554084i −0.980467 0.196684i \(-0.936983\pi\)
0.660566 + 0.750768i \(0.270316\pi\)
\(360\) 1.87971e8 + 3.25575e8i 0.212340 + 0.367784i
\(361\) −5.36996e8 4.50593e8i −0.600753 0.504092i
\(362\) 4.07604e7 7.05991e7i 0.0451605 0.0782202i
\(363\) 3.22735e7 + 1.83032e8i 0.0354138 + 0.200842i
\(364\) 2.80374e9 3.04707
\(365\) −1.34418e8 7.62323e8i −0.144688 0.820567i
\(366\) 1.26494e8 1.06141e8i 0.134861 0.113162i
\(367\) 4.96196e8 + 1.80601e8i 0.523989 + 0.190716i 0.590452 0.807073i \(-0.298949\pi\)
−0.0664636 + 0.997789i \(0.521172\pi\)
\(368\) 4.87624e8 1.77481e8i 0.510056 0.185645i
\(369\) 2.27815e9 2.36043
\(370\) −9.75743e7 + 1.18879e8i −0.100145 + 0.122011i
\(371\) 1.90934e9 1.94122
\(372\) −4.59319e8 + 1.67178e8i −0.462609 + 0.168376i
\(373\) −8.85501e8 3.22296e8i −0.883503 0.321569i −0.139881 0.990168i \(-0.544672\pi\)
−0.743623 + 0.668599i \(0.766894\pi\)
\(374\) 2.56415e8 2.15158e8i 0.253450 0.212670i
\(375\) −2.94561e8 1.67054e9i −0.288447 1.63587i
\(376\) 1.61606e8 0.156783
\(377\) −3.20257e7 1.81627e8i −0.0307825 0.174576i
\(378\) −1.13250e8 + 1.96155e8i −0.107849 + 0.186800i
\(379\) −1.16798e9 9.80048e8i −1.10204 0.924720i −0.104478 0.994527i \(-0.533317\pi\)
−0.997560 + 0.0698074i \(0.977762\pi\)
\(380\) −1.77707e8 3.07797e8i −0.166135 0.287754i
\(381\) −2.31613e8 + 4.01165e8i −0.214548 + 0.371609i
\(382\) 1.25758e8 4.57723e7i 0.115429 0.0420128i
\(383\) 2.51744e8 2.11239e8i 0.228962 0.192122i −0.521088 0.853503i \(-0.674474\pi\)
0.750050 + 0.661381i \(0.230029\pi\)
\(384\) 6.43205e8 + 1.11406e9i 0.579682 + 1.00404i
\(385\) 2.39434e8 1.35790e9i 0.213832 1.21270i
\(386\) −1.84123e7 + 1.04421e8i −0.0162949 + 0.0924132i
\(387\) 4.54785e8 + 3.81610e8i 0.398857 + 0.334681i
\(388\) −9.52385e8 3.46640e8i −0.827754 0.301278i
\(389\) 3.06833e8 + 1.11678e8i 0.264289 + 0.0961933i 0.470766 0.882258i \(-0.343978\pi\)
−0.206477 + 0.978451i \(0.566200\pi\)
\(390\) 3.94258e8 + 3.30822e8i 0.336554 + 0.282402i
\(391\) −2.16058e8 + 1.22533e9i −0.182790 + 1.03665i
\(392\) 1.80912e8 1.02600e9i 0.151693 0.860293i
\(393\) −1.09398e9 1.89482e9i −0.909146 1.57469i
\(394\) −7.01307e7 + 5.88467e7i −0.0577659 + 0.0484714i
\(395\) 4.75446e8 1.73048e8i 0.388160 0.141279i
\(396\) −7.56647e8 + 1.31055e9i −0.612294 + 1.06053i
\(397\) −5.65894e8 9.80156e8i −0.453908 0.786192i 0.544717 0.838620i \(-0.316637\pi\)
−0.998625 + 0.0524282i \(0.983304\pi\)
\(398\) −5.56798e7 4.67209e7i −0.0442697 0.0371467i
\(399\) 8.02149e8 1.38936e9i 0.632194 1.09499i
\(400\) −8.48722e7 4.81334e8i −0.0663064 0.376042i
\(401\) 4.15944e8 0.322129 0.161064 0.986944i \(-0.448507\pi\)
0.161064 + 0.986944i \(0.448507\pi\)
\(402\) 8.78465e7 + 4.98202e8i 0.0674424 + 0.382485i
\(403\) −6.07511e8 + 5.09762e8i −0.462367 + 0.387972i
\(404\) −1.09049e9 3.96907e8i −0.822789 0.299471i
\(405\) −4.54175e8 + 1.65306e8i −0.339728 + 0.123651i
\(406\) −4.92928e7 −0.0365546
\(407\) −1.25002e9 2.06464e8i −0.919046 0.151798i
\(408\) −1.46872e9 −1.07061
\(409\) −5.00768e8 + 1.82265e8i −0.361914 + 0.131726i −0.516576 0.856242i \(-0.672793\pi\)
0.154662 + 0.987967i \(0.450571\pi\)
\(410\) −3.55137e8 1.29259e8i −0.254479 0.0926228i
\(411\) 9.40608e8 7.89264e8i 0.668286 0.560758i
\(412\) −1.39078e8 7.88749e8i −0.0979755 0.555646i
\(413\) 2.33977e9 1.63436
\(414\) 4.54505e7 + 2.57762e8i 0.0314802 + 0.178533i
\(415\) 3.10394e8 5.37619e8i 0.213180 0.369238i
\(416\) 1.20953e9 + 1.01491e9i 0.823737 + 0.691197i
\(417\) 1.18054e9 + 2.04475e9i 0.797267 + 1.38091i
\(418\) −6.81174e7 + 1.17983e8i −0.0456185 + 0.0790136i
\(419\) −1.61862e9 + 5.89131e8i −1.07497 + 0.391257i −0.818033 0.575171i \(-0.804936\pi\)
−0.256937 + 0.966428i \(0.582713\pi\)
\(420\) −2.26465e9 + 1.90027e9i −1.49152 + 1.25153i
\(421\) 9.75590e8 + 1.68977e9i 0.637207 + 1.10367i 0.986043 + 0.166491i \(0.0532435\pi\)
−0.348837 + 0.937184i \(0.613423\pi\)
\(422\) 5.46990e7 3.10213e8i 0.0354312 0.200940i
\(423\) 1.41404e8 8.01944e8i 0.0908389 0.515173i
\(424\) 5.44992e8 + 4.57303e8i 0.347224 + 0.291356i
\(425\) 1.10124e9 + 4.00819e8i 0.695858 + 0.253272i
\(426\) −4.71910e8 1.71761e8i −0.295751 0.107644i
\(427\) 1.17886e9 + 9.89184e8i 0.732767 + 0.614865i
\(428\) 1.92407e7 1.09120e8i 0.0118623 0.0672743i
\(429\) −7.36237e8 + 4.17541e9i −0.450212 + 2.55328i
\(430\) −4.92435e7 8.52923e7i −0.0298682 0.0517333i
\(431\) −4.18588e6 + 3.51237e6i −0.00251835 + 0.00211315i −0.644046 0.764987i \(-0.722745\pi\)
0.641528 + 0.767100i \(0.278301\pi\)
\(432\) 7.92274e8 2.88364e8i 0.472805 0.172087i
\(433\) 6.27684e8 1.08718e9i 0.371564 0.643568i −0.618242 0.785987i \(-0.712155\pi\)
0.989806 + 0.142420i \(0.0454883\pi\)
\(434\) 1.05980e8 + 1.83563e8i 0.0622316 + 0.107788i
\(435\) 1.48968e8 + 1.24999e8i 0.0867721 + 0.0728104i
\(436\) 7.71105e8 1.33559e9i 0.445565 0.771741i
\(437\) −8.79364e7 4.98712e8i −0.0504062 0.285868i
\(438\) 6.36173e8 0.361756
\(439\) 5.05066e8 + 2.86437e9i 0.284920 + 1.61586i 0.705572 + 0.708638i \(0.250690\pi\)
−0.420653 + 0.907222i \(0.638199\pi\)
\(440\) 3.93570e8 3.30245e8i 0.220261 0.184821i
\(441\) −4.93308e9 1.79549e9i −2.73894 0.996894i
\(442\) −1.09416e9 + 3.98240e8i −0.602700 + 0.219365i
\(443\) 1.75195e9 0.957433 0.478716 0.877970i \(-0.341102\pi\)
0.478716 + 0.877970i \(0.341102\pi\)
\(444\) 1.76853e9 + 2.06184e9i 0.958898 + 1.11793i
\(445\) 6.27391e8 0.337504
\(446\) 1.91256e8 6.96115e7i 0.102081 0.0371543i
\(447\) 3.16584e9 + 1.15227e9i 1.67653 + 0.610208i
\(448\) −1.91297e9 + 1.60517e9i −1.00516 + 0.843429i
\(449\) 3.03829e8 + 1.72310e9i 0.158404 + 0.898355i 0.955607 + 0.294644i \(0.0952010\pi\)
−0.797203 + 0.603712i \(0.793688\pi\)
\(450\) 2.46527e8 0.127532
\(451\) −5.40631e8 3.06607e9i −0.277513 1.57385i
\(452\) 6.03469e8 1.04524e9i 0.307376 0.532391i
\(453\) −1.55714e9 1.30659e9i −0.787015 0.660384i
\(454\) −4.05911e8 7.03059e8i −0.203580 0.352611i
\(455\) −2.39822e9 + 4.15384e9i −1.19357 + 2.06733i
\(456\) 5.61726e8 2.04452e8i 0.277426 0.100975i
\(457\) 1.35693e9 1.13860e9i 0.665047 0.558040i −0.246548 0.969131i \(-0.579296\pi\)
0.911595 + 0.411090i \(0.134852\pi\)
\(458\) −6.98550e7 1.20992e8i −0.0339757 0.0588476i
\(459\) −3.51043e8 + 1.99087e9i −0.169440 + 0.960943i
\(460\) −1.62043e8 + 9.18993e8i −0.0776209 + 0.440210i
\(461\) −2.70399e9 2.26892e9i −1.28544 1.07861i −0.992470 0.122492i \(-0.960911\pi\)
−0.292971 0.956121i \(-0.594644\pi\)
\(462\) 1.06485e9 + 3.87573e8i 0.502390 + 0.182855i
\(463\) 1.39053e9 + 5.06111e8i 0.651098 + 0.236980i 0.646388 0.763009i \(-0.276279\pi\)
0.00470949 + 0.999989i \(0.498501\pi\)
\(464\) 1.40559e8 + 1.17943e8i 0.0653199 + 0.0548099i
\(465\) 1.45205e8 8.23496e8i 0.0669723 0.379819i
\(466\) −3.84733e7 + 2.18193e8i −0.0176120 + 0.0998826i
\(467\) −3.17082e8 5.49203e8i −0.144067 0.249531i 0.784958 0.619549i \(-0.212685\pi\)
−0.929024 + 0.370019i \(0.879351\pi\)
\(468\) 4.03256e9 3.38372e9i 1.81853 1.52593i
\(469\) −4.43029e9 + 1.61249e9i −1.98302 + 0.721760i
\(470\) −6.75444e7 + 1.16990e8i −0.0300087 + 0.0519766i
\(471\) −2.05625e9 3.56153e9i −0.906783 1.57059i
\(472\) 6.67853e8 + 5.60395e8i 0.292337 + 0.245300i
\(473\) 4.05667e8 7.02636e8i 0.176261 0.305293i
\(474\) 7.22059e7 + 4.09500e8i 0.0311421 + 0.176616i
\(475\) −4.76974e8 −0.204205
\(476\) −1.16141e9 6.58667e9i −0.493583 2.79925i
\(477\) 2.74617e9 2.30431e9i 1.15854 0.972134i
\(478\) −5.17309e8 1.88285e8i −0.216647 0.0788530i
\(479\) −9.54541e8 + 3.47425e8i −0.396845 + 0.144440i −0.532731 0.846285i \(-0.678834\pi\)
0.135886 + 0.990724i \(0.456612\pi\)
\(480\) −1.66484e9 −0.687111
\(481\) 3.84045e9 + 2.16211e9i 1.57353 + 0.885869i
\(482\) −8.77401e8 −0.356889
\(483\) −3.95821e9 + 1.44067e9i −1.59839 + 0.581768i
\(484\) −2.96339e8 1.07859e8i −0.118804 0.0432411i
\(485\) 1.32820e9 1.11449e9i 0.528647 0.443588i
\(486\) −1.22650e8 6.95583e8i −0.0484664 0.274867i
\(487\) 4.32766e8 0.169786 0.0848930 0.996390i \(-0.472945\pi\)
0.0848930 + 0.996390i \(0.472945\pi\)
\(488\) 9.95711e7 + 5.64696e8i 0.0387850 + 0.219961i
\(489\) 1.16977e8 2.02609e8i 0.0452395 0.0783571i
\(490\) 6.67134e8 + 5.59792e8i 0.256169 + 0.214952i
\(491\) 1.01700e9 + 1.76150e9i 0.387736 + 0.671578i 0.992145 0.125096i \(-0.0399240\pi\)
−0.604409 + 0.796674i \(0.706591\pi\)
\(492\) −3.33759e9 + 5.78088e9i −1.26344 + 2.18835i
\(493\) −4.13420e8 + 1.50472e8i −0.155391 + 0.0565578i
\(494\) 3.63033e8 3.04621e8i 0.135488 0.113688i
\(495\) −1.29442e9 2.24200e9i −0.479686 0.830840i
\(496\) 1.37008e8 7.77011e8i 0.0504151 0.285918i
\(497\) 8.12711e8 4.60911e9i 0.296954 1.68411i
\(498\) 3.90827e8 + 3.27943e8i 0.141802 + 0.118986i
\(499\) −5.79990e8 2.11099e8i −0.208963 0.0760561i 0.235418 0.971894i \(-0.424354\pi\)
−0.444381 + 0.895838i \(0.646576\pi\)
\(500\) 2.70470e9 + 9.84430e8i 0.967663 + 0.352200i
\(501\) 4.16984e8 + 3.49891e8i 0.148145 + 0.124308i
\(502\) −1.58557e8 + 8.99224e8i −0.0559401 + 0.317252i
\(503\) −5.73297e8 + 3.25133e9i −0.200859 + 1.13913i 0.702964 + 0.711225i \(0.251859\pi\)
−0.903824 + 0.427905i \(0.859252\pi\)
\(504\) −1.43969e9 2.49362e9i −0.500914 0.867609i
\(505\) 1.52080e9 1.27610e9i 0.525476 0.440927i
\(506\) 3.36125e8 1.22340e8i 0.115339 0.0419798i
\(507\) 5.11277e9 8.85558e9i 1.74232 3.01779i
\(508\) −3.92998e8 6.80692e8i −0.133005 0.230371i
\(509\) 1.39070e9 + 1.16694e9i 0.467435 + 0.392225i 0.845858 0.533408i \(-0.179089\pi\)
−0.378423 + 0.925633i \(0.623533\pi\)
\(510\) 6.13866e8 1.06325e9i 0.204917 0.354927i
\(511\) 1.02953e9 + 5.83873e9i 0.341322 + 1.93573i
\(512\) −2.65858e9 −0.875398
\(513\) −1.42876e8 8.10290e8i −0.0467249 0.264990i
\(514\) 6.18230e8 5.18756e8i 0.200807 0.168497i
\(515\) 1.28752e9 + 4.68620e8i 0.415364 + 0.151180i
\(516\) −1.63462e9 + 5.94955e8i −0.523774 + 0.190638i
\(517\) −1.11286e9 −0.354179
\(518\) 7.47334e8 9.10506e8i 0.236244 0.287825i
\(519\) 4.22355e9 1.32615
\(520\) −1.67942e9 + 6.11257e8i −0.523777 + 0.190639i
\(521\) −5.55869e9 2.02320e9i −1.72203 0.626767i −0.724016 0.689783i \(-0.757706\pi\)
−0.998013 + 0.0630162i \(0.979928\pi\)
\(522\) −7.08968e7 + 5.94895e7i −0.0218163 + 0.0183060i
\(523\) −8.47156e8 4.80446e9i −0.258945 1.46855i −0.785740 0.618557i \(-0.787718\pi\)
0.526795 0.849992i \(-0.323393\pi\)
\(524\) 3.71249e9 1.12721
\(525\) 6.88936e8 + 3.90715e9i 0.207788 + 1.17843i
\(526\) −3.98834e8 + 6.90801e8i −0.119493 + 0.206968i
\(527\) 1.44921e9 + 1.21603e9i 0.431314 + 0.361916i
\(528\) −2.10908e9 3.65304e9i −0.623555 1.08003i
\(529\) 1.03760e9 1.79718e9i 0.304745 0.527834i
\(530\) −5.58838e8 + 2.03400e8i −0.163050 + 0.0593452i
\(531\) 3.36525e9 2.82378e9i 0.975409 0.818465i
\(532\) 1.36108e9 + 2.35746e9i 0.391915 + 0.678817i
\(533\) −1.88064e9 + 1.06656e10i −0.537972 + 3.05099i
\(534\) −8.95356e7 + 5.07782e8i −0.0254449 + 0.144305i
\(535\) 1.45207e8 + 1.21843e8i 0.0409966 + 0.0344002i
\(536\) −1.65077e9 6.00830e8i −0.463030 0.168529i
\(537\) −5.39948e9 1.96525e9i −1.50467 0.547656i
\(538\) 5.62478e8 + 4.71975e8i 0.155728 + 0.130672i
\(539\) −1.24581e9 + 7.06531e9i −0.342681 + 1.94344i
\(540\) −2.63282e8 + 1.49315e9i −0.0719521 + 0.408061i
\(541\) −1.59170e9 2.75691e9i −0.432187 0.748569i 0.564875 0.825177i \(-0.308925\pi\)
−0.997061 + 0.0766074i \(0.975591\pi\)
\(542\) −1.70237e7 + 1.42846e7i −0.00459257 + 0.00385362i
\(543\) 2.31467e9 8.42471e8i 0.620425 0.225816i
\(544\) 1.88325e9 3.26189e9i 0.501547 0.868706i
\(545\) 1.31915e9 + 2.28484e9i 0.349066 + 0.604600i
\(546\) −3.01967e9 2.53381e9i −0.793937 0.666192i
\(547\) 1.30556e9 2.26129e9i 0.341068 0.590747i −0.643564 0.765393i \(-0.722545\pi\)
0.984631 + 0.174646i \(0.0558781\pi\)
\(548\) 3.61787e8 + 2.05179e9i 0.0939119 + 0.532601i
\(549\) 2.88935e9 0.745240
\(550\) −5.85035e7 3.31790e8i −0.0149938 0.0850342i
\(551\) 1.37169e8 1.15099e8i 0.0349323 0.0293117i
\(552\) −1.47486e9 5.36807e8i −0.373220 0.135841i
\(553\) −3.64150e9 + 1.32540e9i −0.915677 + 0.333279i
\(554\) −1.95643e8 −0.0488855
\(555\) −4.56742e9 + 8.56521e8i −1.13409 + 0.212673i
\(556\) −4.00624e9 −0.988497
\(557\) −6.00580e9 + 2.18593e9i −1.47257 + 0.535973i −0.948798 0.315882i \(-0.897700\pi\)
−0.523777 + 0.851856i \(0.675477\pi\)
\(558\) 3.73965e8 + 1.36112e8i 0.0911194 + 0.0331647i
\(559\) −2.16201e9 + 1.81414e9i −0.523499 + 0.439268i
\(560\) −8.28638e8 4.69944e9i −0.199392 1.13081i
\(561\) 1.01140e10 2.41855
\(562\) −2.23666e8 1.26848e9i −0.0531525 0.301443i
\(563\) −6.96704e7 + 1.20673e8i −0.0164539 + 0.0284990i −0.874135 0.485683i \(-0.838571\pi\)
0.857681 + 0.514182i \(0.171904\pi\)
\(564\) 1.82779e9 + 1.53370e9i 0.428993 + 0.359968i
\(565\) 1.03237e9 + 1.78812e9i 0.240806 + 0.417088i
\(566\) −4.31393e7 + 7.47195e7i −0.0100004 + 0.0173211i
\(567\) 3.47859e9 1.26610e9i 0.801424 0.291694i
\(568\) 1.33590e9 1.12095e9i 0.305882 0.256666i
\(569\) 2.74221e9 + 4.74965e9i 0.624033 + 1.08086i 0.988727 + 0.149730i \(0.0478403\pi\)
−0.364694 + 0.931127i \(0.618826\pi\)
\(570\) −8.67705e7 + 4.92100e8i −0.0196250 + 0.111299i
\(571\) 1.41590e9 8.02996e9i 0.318277 1.80504i −0.234947 0.972008i \(-0.575492\pi\)
0.553225 0.833032i \(-0.313397\pi\)
\(572\) −5.51098e9 4.62426e9i −1.23124 1.03313i
\(573\) 3.79990e9 + 1.38305e9i 0.843783 + 0.307112i
\(574\) 2.72004e9 + 9.90013e8i 0.600321 + 0.218499i
\(575\) 9.59348e8 + 8.04988e8i 0.210445 + 0.176584i
\(576\) −8.14168e8 + 4.61738e9i −0.177515 + 1.00674i
\(577\) −1.29574e9 + 7.34850e9i −0.280803 + 1.59252i 0.439098 + 0.898439i \(0.355298\pi\)
−0.719901 + 0.694076i \(0.755813\pi\)
\(578\) 8.99352e8 + 1.55772e9i 0.193724 + 0.335539i
\(579\) −2.45429e9 + 2.05940e9i −0.525474 + 0.440925i
\(580\) −3.10064e8 + 1.12854e8i −0.0659863 + 0.0240170i
\(581\) −2.37735e9 + 4.11769e9i −0.502894 + 0.871039i
\(582\) 7.12468e8 + 1.23403e9i 0.149808 + 0.259475i
\(583\) −3.75296e9 3.14911e9i −0.784394 0.658185i
\(584\) −1.10456e9 + 1.91316e9i −0.229480 + 0.397472i
\(585\) 1.56379e9 + 8.86871e9i 0.322949 + 1.83153i
\(586\) 1.01687e9 0.208750
\(587\) 1.40699e8 + 7.97942e8i 0.0287115 + 0.162831i 0.995792 0.0916381i \(-0.0292103\pi\)
−0.967081 + 0.254469i \(0.918099\pi\)
\(588\) 1.17833e10 9.88735e9i 2.39026 2.00567i
\(589\) −7.23538e8 2.63346e8i −0.145901 0.0531035i
\(590\) −6.84820e8 + 2.49254e8i −0.137276 + 0.0499643i
\(591\) −2.76623e9 −0.551230
\(592\) −4.30960e9 + 8.08172e8i −0.853711 + 0.160095i
\(593\) 8.80144e9 1.73326 0.866628 0.498956i \(-0.166283\pi\)
0.866628 + 0.498956i \(0.166283\pi\)
\(594\) 5.46125e8 1.98773e8i 0.106915 0.0389139i
\(595\) 1.07518e10 + 3.91334e9i 2.09253 + 0.761620i
\(596\) −4.37909e9 + 3.67449e9i −0.847271 + 0.710944i
\(597\) −3.81371e8 2.16286e9i −0.0733564 0.416025i
\(598\) −1.24428e9 −0.237939
\(599\) −1.49350e9 8.47005e9i −0.283930 1.61025i −0.709084 0.705124i \(-0.750891\pi\)
0.425154 0.905121i \(-0.360220\pi\)
\(600\) −7.39149e8 + 1.28024e9i −0.139702 + 0.241971i
\(601\) −4.15829e9 3.48922e9i −0.781365 0.655643i 0.162227 0.986754i \(-0.448132\pi\)
−0.943592 + 0.331110i \(0.892577\pi\)
\(602\) 3.77162e8 + 6.53265e8i 0.0704597 + 0.122040i
\(603\) −4.42595e9 + 7.66596e9i −0.822045 + 1.42382i
\(604\) 3.24105e9 1.17965e9i 0.598490 0.217833i
\(605\) 4.13275e8 3.46779e8i 0.0758743 0.0636661i
\(606\) 8.15785e8 + 1.41298e9i 0.148909 + 0.257918i
\(607\) −6.31044e8 + 3.57883e9i −0.114525 + 0.649502i 0.872460 + 0.488686i \(0.162524\pi\)
−0.986984 + 0.160816i \(0.948588\pi\)
\(608\) −2.66199e8 + 1.50969e9i −0.0480335 + 0.272412i
\(609\) −1.14096e9 9.57382e8i −0.204697 0.171761i
\(610\) −4.50414e8 1.63937e8i −0.0803448 0.0292431i
\(611\) 3.63773e9 + 1.32402e9i 0.645187 + 0.234829i
\(612\) −9.61963e9 8.07182e9i −1.69640 1.42345i
\(613\) 1.14707e9 6.50536e9i 0.201131 1.14067i −0.702282 0.711898i \(-0.747836\pi\)
0.903413 0.428771i \(-0.141053\pi\)
\(614\) 1.28494e7 7.28728e7i 0.00224024 0.0127050i
\(615\) −5.70972e9 9.88952e9i −0.989809 1.71440i
\(616\) −3.01441e9 + 2.52939e9i −0.519600 + 0.435996i
\(617\) −5.81739e9 + 2.11736e9i −0.997079 + 0.362907i −0.788458 0.615089i \(-0.789120\pi\)
−0.208622 + 0.977996i \(0.566898\pi\)
\(618\) −5.63023e8 + 9.75184e8i −0.0959547 + 0.166198i
\(619\) 3.11364e9 + 5.39299e9i 0.527657 + 0.913928i 0.999480 + 0.0322351i \(0.0102625\pi\)
−0.471824 + 0.881693i \(0.656404\pi\)
\(620\) 1.08691e9 + 9.12022e8i 0.183156 + 0.153686i
\(621\) −1.08016e9 + 1.87089e9i −0.180995 + 0.313492i
\(622\) −1.84183e8 1.04455e9i −0.0306891 0.174046i
\(623\) −4.80527e9 −0.796177
\(624\) 2.54799e9 + 1.44504e10i 0.419809 + 2.38085i
\(625\) −1.71654e9 + 1.44035e9i −0.281238 + 0.235987i
\(626\) 5.98745e8 + 2.17925e8i 0.0975510 + 0.0355057i
\(627\) −3.86820e9 + 1.40791e9i −0.626718 + 0.228107i
\(628\) 6.97805e9 1.12428
\(629\) 3.48847e9 9.91777e9i 0.558931 1.58905i
\(630\) 2.40693e9 0.383506
\(631\) 5.90790e9 2.15030e9i 0.936118 0.340719i 0.171486 0.985187i \(-0.445143\pi\)
0.764632 + 0.644468i \(0.222921\pi\)
\(632\) −1.35686e9 4.93855e8i −0.213808 0.0778198i
\(633\) 7.29118e9 6.11803e9i 1.14258 0.958734i
\(634\) 3.06095e7 + 1.73595e8i 0.00477028 + 0.0270536i
\(635\) 1.34463e9 0.208398
\(636\) 1.82399e9 + 1.03444e10i 0.281140 + 1.59443i
\(637\) 1.24783e10 2.16130e10i 1.91278 3.31304i
\(638\) 9.68890e7 + 8.12995e7i 0.0147707 + 0.0123941i
\(639\) −4.39365e9 7.61003e9i −0.666151 1.15381i
\(640\) 1.86706e9 3.23384e9i 0.281532 0.487628i
\(641\) −5.12759e9 + 1.86629e9i −0.768971 + 0.279882i −0.696566 0.717493i \(-0.745290\pi\)
−0.0724049 + 0.997375i \(0.523067\pi\)
\(642\) −1.19337e8 + 1.00135e8i −0.0177992 + 0.0149353i
\(643\) −3.86344e9 6.69168e9i −0.573107 0.992651i −0.996244 0.0865855i \(-0.972404\pi\)
0.423137 0.906066i \(-0.360929\pi\)
\(644\) 1.24111e9 7.03869e9i 0.183109 1.03846i
\(645\) 5.16754e8 2.93066e9i 0.0758272 0.430037i
\(646\) −8.66010e8 7.26669e8i −0.126389 0.106053i
\(647\) −7.48295e9 2.72357e9i −1.08620 0.395343i −0.263985 0.964527i \(-0.585037\pi\)
−0.822210 + 0.569184i \(0.807259\pi\)
\(648\) 1.29615e9 + 4.71761e8i 0.187130 + 0.0681098i
\(649\) −4.59902e9 3.85903e9i −0.660402 0.554143i
\(650\) −2.03510e8 + 1.15416e9i −0.0290662 + 0.164843i
\(651\) −1.11214e9 + 6.30726e9i −0.157989 + 0.895999i
\(652\) 1.98484e8 + 3.43785e8i 0.0280453 + 0.0485758i
\(653\) 1.65736e9 1.39069e9i 0.232928 0.195450i −0.518852 0.854864i \(-0.673640\pi\)
0.751779 + 0.659415i \(0.229196\pi\)
\(654\) −2.03750e9 + 7.41590e8i −0.284824 + 0.103667i
\(655\) −3.17553e9 + 5.50018e9i −0.441542 + 0.764773i
\(656\) −5.38741e9 9.33127e9i −0.745104 1.29056i
\(657\) 8.52729e9 + 7.15524e9i 1.17309 + 0.984341i
\(658\) 5.17332e8 8.96045e8i 0.0707911 0.122614i
\(659\) 4.57417e8 + 2.59414e9i 0.0622606 + 0.353097i 0.999984 + 0.00571360i \(0.00181871\pi\)
−0.937723 + 0.347384i \(0.887070\pi\)
\(660\) 7.58551e9 1.02703
\(661\) 2.44500e8 + 1.38663e9i 0.0329287 + 0.186748i 0.996835 0.0794921i \(-0.0253298\pi\)
−0.963907 + 0.266240i \(0.914219\pi\)
\(662\) 5.44524e8 4.56910e8i 0.0729481 0.0612107i
\(663\) −3.30608e10 1.20332e10i −4.40572 1.60355i
\(664\) −1.66480e9 + 6.05938e8i −0.220686 + 0.0803230i
\(665\) −4.65687e9 −0.614071
\(666\) −2.39785e7 2.21149e9i −0.00314531 0.290085i
\(667\) −4.70144e8 −0.0613466
\(668\) −8.67918e8 + 3.15896e8i −0.112658 + 0.0410041i
\(669\) 5.77896e9 + 2.10337e9i 0.746206 + 0.271597i
\(670\) 1.12491e9 9.43910e8i 0.144496 0.121246i
\(671\) −6.85673e8 3.88865e9i −0.0876170 0.496901i
\(672\) 1.27512e10 1.62091
\(673\) 1.36536e9 + 7.74332e9i 0.172661 + 0.979207i 0.940810 + 0.338936i \(0.110067\pi\)
−0.768149 + 0.640271i \(0.778822\pi\)
\(674\) 8.52205e8 1.47606e9i 0.107210 0.185693i
\(675\) 1.55871e9 + 1.30792e9i 0.195076 + 0.163688i
\(676\) 8.67529e9 + 1.50260e10i 1.08012 + 1.87082i
\(677\) 4.24606e8 7.35439e8i 0.0525928 0.0910933i −0.838530 0.544855i \(-0.816585\pi\)
0.891123 + 0.453761i \(0.149918\pi\)
\(678\) −1.59455e9 + 5.80370e8i −0.196488 + 0.0715157i
\(679\) −1.01728e10 + 8.53601e9i −1.24709 + 1.04643i
\(680\) 2.13167e9 + 3.69216e9i 0.259979 + 0.450297i
\(681\) 4.25957e9 2.41572e10i 0.516834 2.93111i
\(682\) 9.44414e7 5.35604e8i 0.0114003 0.0646545i
\(683\) 4.68805e9 + 3.93374e9i 0.563014 + 0.472425i 0.879320 0.476232i \(-0.157998\pi\)
−0.316305 + 0.948658i \(0.602442\pi\)
\(684\) 4.80273e9 + 1.74805e9i 0.573842 + 0.208861i
\(685\) −3.34926e9 1.21903e9i −0.398137 0.144910i
\(686\) −2.69779e9 2.26372e9i −0.319061 0.267724i
\(687\) 7.33048e8 4.15732e9i 0.0862549 0.489176i
\(688\) 4.87584e8 2.76523e9i 0.0570808 0.323721i
\(689\) 8.52107e9 + 1.47589e10i 0.992492 + 1.71905i
\(690\) 1.00504e9 8.43329e8i 0.116469 0.0977294i
\(691\) −5.36436e8 + 1.95247e8i −0.0618508 + 0.0225118i −0.372760 0.927928i \(-0.621589\pi\)
0.310909 + 0.950440i \(0.399366\pi\)
\(692\) −3.58323e9 + 6.20634e9i −0.411058 + 0.711974i
\(693\) 9.91412e9 + 1.71718e10i 1.13159 + 1.95997i
\(694\) 9.96970e8 + 8.36557e8i 0.113220 + 0.0950030i
\(695\) 3.42680e9 5.93539e9i 0.387206 0.670660i
\(696\) −9.63699e7 5.46541e8i −0.0108345 0.0614455i
\(697\) 2.58352e10 2.88999
\(698\) 2.31004e8 + 1.31009e9i 0.0257114 + 0.145816i
\(699\) −5.12835e9 + 4.30320e9i −0.567947 + 0.476564i
\(700\) −6.32590e9 2.30244e9i −0.697074 0.253714i
\(701\) −1.21882e10 + 4.43614e9i −1.33637 + 0.486398i −0.908667 0.417522i \(-0.862899\pi\)
−0.427701 + 0.903920i \(0.640676\pi\)
\(702\) −2.02167e9 −0.220562
\(703\) 4.63931e7 + 4.27874e9i 0.00503628 + 0.464486i
\(704\) 6.40754e9 0.692129
\(705\) −3.83566e9 + 1.39607e9i −0.412267 + 0.150053i
\(706\) −3.35980e9 1.22287e9i −0.359333 0.130787i
\(707\) −1.16480e10 + 9.77385e9i −1.23961 + 1.04015i
\(708\) 2.23519e9 + 1.26764e10i 0.236700 + 1.34239i
\(709\) −2.33352e9 −0.245895 −0.122947 0.992413i \(-0.539235\pi\)
−0.122947 + 0.992413i \(0.539235\pi\)
\(710\) 2.53135e8 + 1.43560e9i 0.0265429 + 0.150532i
\(711\) −3.63793e9 + 6.30108e9i −0.379587 + 0.657463i
\(712\) −1.37159e9 1.15090e9i −0.142412 0.119498i
\(713\) 1.01082e9 + 1.75079e9i 0.104438 + 0.180892i
\(714\) −4.70168e9 + 8.14355e9i −0.483403 + 0.837278i
\(715\) 1.15649e10 4.20928e9i 1.18324 0.430662i
\(716\) 7.46875e9 6.26703e9i 0.760418 0.638066i
\(717\) −8.31703e9 1.44055e10i −0.842658 1.45953i
\(718\) −2.32350e8 + 1.31772e9i −0.0234264 + 0.132858i
\(719\) 2.19100e9 1.24258e10i 0.219832 1.24673i −0.652490 0.757797i \(-0.726276\pi\)
0.872322 0.488932i \(-0.162613\pi\)
\(720\) −6.86339e9 5.75907e9i −0.685291 0.575027i
\(721\) −9.86130e9 3.58922e9i −0.979852 0.356637i
\(722\) −1.57145e9 5.71959e8i −0.155389 0.0565568i
\(723\) −2.03089e10 1.70412e10i −1.99849 1.67693i
\(724\) −7.25773e8 + 4.11606e9i −0.0710748 + 0.403085i
\(725\) −7.68949e7 + 4.36092e8i −0.00749401 + 0.0425006i
\(726\) 2.21688e8 + 3.83975e8i 0.0215013 + 0.0372413i
\(727\) −1.19692e10 + 1.00433e10i −1.15530 + 0.969409i −0.999830 0.0184320i \(-0.994133\pi\)
−0.155467 + 0.987841i \(0.549688\pi\)
\(728\) 1.28629e10 4.68170e9i 1.23560 0.449722i
\(729\) 8.14503e9 1.41076e10i 0.778657 1.34867i
\(730\) −9.23323e8 1.59924e9i −0.0878464 0.152154i
\(731\) 5.15744e9 + 4.32761e9i 0.488341 + 0.409767i
\(732\) −4.23301e9 + 7.33179e9i −0.398897 + 0.690910i
\(733\) −3.51833e9 1.99534e10i −0.329968 1.87134i −0.472172 0.881507i \(-0.656530\pi\)
0.142203 0.989837i \(-0.454581\pi\)
\(734\) 1.25969e9 0.117578
\(735\) 4.56945e9 + 2.59147e10i 0.424481 + 2.40735i
\(736\) 3.08332e9 2.58721e9i 0.285066 0.239199i
\(737\) 1.13676e10 + 4.13747e9i 1.04600 + 0.380714i
\(738\) 5.10699e9 1.85879e9i 0.467700 0.170229i
\(739\) −1.78950e10 −1.63108 −0.815542 0.578698i \(-0.803561\pi\)
−0.815542 + 0.578698i \(0.803561\pi\)
\(740\) 2.61635e9 7.43832e9i 0.237348 0.674782i
\(741\) 1.43195e10 1.29289
\(742\) 4.28021e9 1.55787e9i 0.384637 0.139997i
\(743\) 1.67608e10 + 6.10044e9i 1.49911 + 0.545633i 0.955831 0.293917i \(-0.0949590\pi\)
0.543283 + 0.839550i \(0.317181\pi\)
\(744\) −1.82809e9 + 1.53395e9i −0.162739 + 0.136554i
\(745\) −1.69817e9 9.63081e9i −0.150465 0.853328i
\(746\) −2.24802e9 −0.198250
\(747\) 1.55018e9 + 8.79153e9i 0.136070 + 0.771689i
\(748\) −8.58068e9 + 1.48622e10i −0.749663 + 1.29845i
\(749\) −1.11216e9 9.33210e8i −0.0967118 0.0811508i
\(750\) −2.02335e9 3.50455e9i −0.175129 0.303332i
\(751\) −2.63406e9 + 4.56233e9i −0.226927 + 0.393049i −0.956896 0.290431i \(-0.906201\pi\)
0.729969 + 0.683481i \(0.239535\pi\)
\(752\) −3.61914e9 + 1.31726e9i −0.310344 + 0.112956i
\(753\) −2.11351e10 + 1.77345e10i −1.80394 + 1.51369i
\(754\) −2.19986e8 3.81026e8i −0.0186894 0.0323709i
\(755\) −1.02459e9 + 5.81076e9i −0.0866438 + 0.491382i
\(756\) 2.01651e9 1.14362e10i 0.169736 0.962622i
\(757\) 6.42573e9 + 5.39183e9i 0.538377 + 0.451752i 0.870983 0.491314i \(-0.163483\pi\)
−0.332605 + 0.943066i \(0.607928\pi\)
\(758\) −3.41792e9 1.24402e9i −0.285049 0.103749i
\(759\) 1.01563e10 + 3.69660e9i 0.843121 + 0.306871i
\(760\) −1.32923e9 1.11536e9i −0.109838 0.0921653i
\(761\) −2.92010e9 + 1.65607e10i −0.240188 + 1.36217i 0.591220 + 0.806510i \(0.298647\pi\)
−0.831408 + 0.555663i \(0.812465\pi\)
\(762\) −1.91893e8 + 1.08828e9i −0.0157115 + 0.0891041i
\(763\) −1.01036e10 1.74999e10i −0.823453 1.42626i
\(764\) −5.25615e9 + 4.41043e9i −0.426423 + 0.357812i