Properties

Label 80.6.q.a.29.15
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.q (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.15
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.03469 + 3.96501i) q^{2} +(-19.4902 + 19.4902i) q^{3} +(0.557416 - 31.9951i) q^{4} +(-49.1605 - 26.6128i) q^{5} +(1.35807 - 155.915i) q^{6} +138.003 q^{7} +(124.612 + 131.301i) q^{8} -516.733i q^{9} +O(q^{10})\) \(q+(-4.03469 + 3.96501i) q^{2} +(-19.4902 + 19.4902i) q^{3} +(0.557416 - 31.9951i) q^{4} +(-49.1605 - 26.6128i) q^{5} +(1.35807 - 155.915i) q^{6} +138.003 q^{7} +(124.612 + 131.301i) q^{8} -516.733i q^{9} +(303.867 - 87.5474i) q^{10} +(148.749 - 148.749i) q^{11} +(612.726 + 634.455i) q^{12} +(-395.811 + 395.811i) q^{13} +(-556.798 + 547.182i) q^{14} +(1476.83 - 439.458i) q^{15} +(-1023.38 - 35.6692i) q^{16} -1342.37i q^{17} +(2048.85 + 2084.86i) q^{18} +(-338.856 - 338.856i) q^{19} +(-878.884 + 1558.06i) q^{20} +(-2689.70 + 2689.70i) q^{21} +(-10.3648 + 1189.95i) q^{22} -3130.03 q^{23} +(-4987.78 - 130.361i) q^{24} +(1708.51 + 2616.60i) q^{25} +(27.5800 - 3166.37i) q^{26} +(5335.09 + 5335.09i) q^{27} +(76.9250 - 4415.42i) q^{28} +(3342.83 + 3342.83i) q^{29} +(-4216.11 + 7628.74i) q^{30} +8975.16 q^{31} +(4270.44 - 3913.79i) q^{32} +5798.30i q^{33} +(5322.50 + 5416.03i) q^{34} +(-6784.29 - 3672.65i) q^{35} +(-16532.9 - 288.035i) q^{36} +(3912.71 + 3912.71i) q^{37} +(2710.74 + 23.6114i) q^{38} -15428.8i q^{39} +(-2631.71 - 9771.08i) q^{40} +11553.2i q^{41} +(187.417 - 21516.8i) q^{42} +(9090.09 + 9090.09i) q^{43} +(-4676.34 - 4842.17i) q^{44} +(-13751.7 + 25402.8i) q^{45} +(12628.7 - 12410.6i) q^{46} -23172.4i q^{47} +(20641.0 - 19250.6i) q^{48} +2237.78 q^{49} +(-17268.2 - 3782.90i) q^{50} +(26162.9 + 26162.9i) q^{51} +(12443.4 + 12884.7i) q^{52} +(-4387.18 - 4387.18i) q^{53} +(-42679.1 - 371.748i) q^{54} +(-11271.2 + 3353.95i) q^{55} +(17196.8 + 18119.9i) q^{56} +13208.7 q^{57} +(-26741.6 - 232.927i) q^{58} +(10109.8 - 10109.8i) q^{59} +(-13237.3 - 47496.5i) q^{60} +(-7489.74 - 7489.74i) q^{61} +(-36212.0 + 35586.6i) q^{62} -71310.6i q^{63} +(-1711.69 + 32723.3i) q^{64} +(29991.9 - 8924.63i) q^{65} +(-22990.3 - 23394.3i) q^{66} +(-41365.5 + 41365.5i) q^{67} +(-42949.2 - 748.257i) q^{68} +(61004.7 - 61004.7i) q^{69} +(41934.6 - 12081.8i) q^{70} +25331.5i q^{71} +(67847.3 - 64391.1i) q^{72} +71908.6 q^{73} +(-31300.5 - 272.637i) q^{74} +(-84297.2 - 17698.8i) q^{75} +(-11030.6 + 10652.9i) q^{76} +(20527.8 - 20527.8i) q^{77} +(61175.5 + 62250.6i) q^{78} +83505.6 q^{79} +(49360.6 + 28988.5i) q^{80} -82397.6 q^{81} +(-45808.4 - 46613.4i) q^{82} +(57163.1 - 57163.1i) q^{83} +(84558.0 + 87556.5i) q^{84} +(-35724.2 + 65991.5i) q^{85} +(-72718.0 - 633.395i) q^{86} -130305. q^{87} +(38066.8 + 994.921i) q^{88} -48501.3i q^{89} +(-45238.6 - 157018. i) q^{90} +(-54623.1 + 54623.1i) q^{91} +(-1744.73 + 100146. i) q^{92} +(-174927. + 174927. i) q^{93} +(91878.6 + 93493.2i) q^{94} +(7640.41 + 25676.2i) q^{95} +(-6951.20 + 159512. i) q^{96} +85142.5i q^{97} +(-9028.73 + 8872.80i) q^{98} +(-76863.6 - 76863.6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.03469 + 3.96501i −0.713239 + 0.700921i
\(3\) −19.4902 + 19.4902i −1.25029 + 1.25029i −0.294707 + 0.955588i \(0.595222\pi\)
−0.955588 + 0.294707i \(0.904778\pi\)
\(4\) 0.557416 31.9951i 0.0174193 0.999848i
\(5\) −49.1605 26.6128i −0.879410 0.476065i
\(6\) 1.35807 155.915i 0.0154008 1.76812i
\(7\) 138.003 1.06449 0.532247 0.846589i \(-0.321348\pi\)
0.532247 + 0.846589i \(0.321348\pi\)
\(8\) 124.612 + 131.301i 0.688391 + 0.725340i
\(9\) 516.733i 2.12647i
\(10\) 303.867 87.5474i 0.960913 0.276849i
\(11\) 148.749 148.749i 0.370658 0.370658i −0.497059 0.867717i \(-0.665587\pi\)
0.867717 + 0.497059i \(0.165587\pi\)
\(12\) 612.726 + 634.455i 1.22833 + 1.27188i
\(13\) −395.811 + 395.811i −0.649576 + 0.649576i −0.952890 0.303315i \(-0.901907\pi\)
0.303315 + 0.952890i \(0.401907\pi\)
\(14\) −556.798 + 547.182i −0.759238 + 0.746126i
\(15\) 1476.83 439.458i 1.69474 0.504300i
\(16\) −1023.38 35.6692i −0.999393 0.0348332i
\(17\) 1342.37i 1.12655i −0.826271 0.563273i \(-0.809542\pi\)
0.826271 0.563273i \(-0.190458\pi\)
\(18\) 2048.85 + 2084.86i 1.49049 + 1.51668i
\(19\) −338.856 338.856i −0.215343 0.215343i 0.591190 0.806533i \(-0.298659\pi\)
−0.806533 + 0.591190i \(0.798659\pi\)
\(20\) −878.884 + 1558.06i −0.491311 + 0.870984i
\(21\) −2689.70 + 2689.70i −1.33093 + 1.33093i
\(22\) −10.3648 + 1189.95i −0.00456567 + 0.524170i
\(23\) −3130.03 −1.23375 −0.616877 0.787060i \(-0.711602\pi\)
−0.616877 + 0.787060i \(0.711602\pi\)
\(24\) −4987.78 130.361i −1.76758 0.0461977i
\(25\) 1708.51 + 2616.60i 0.546724 + 0.837313i
\(26\) 27.5800 3166.37i 0.00800131 0.918604i
\(27\) 5335.09 + 5335.09i 1.40842 + 1.40842i
\(28\) 76.9250 4415.42i 0.0185427 1.06433i
\(29\) 3342.83 + 3342.83i 0.738107 + 0.738107i 0.972211 0.234104i \(-0.0752157\pi\)
−0.234104 + 0.972211i \(0.575216\pi\)
\(30\) −4216.11 + 7628.74i −0.855282 + 1.54757i
\(31\) 8975.16 1.67741 0.838703 0.544589i \(-0.183314\pi\)
0.838703 + 0.544589i \(0.183314\pi\)
\(32\) 4270.44 3913.79i 0.737221 0.675651i
\(33\) 5798.30i 0.926863i
\(34\) 5322.50 + 5416.03i 0.789620 + 0.803496i
\(35\) −6784.29 3672.65i −0.936126 0.506768i
\(36\) −16532.9 288.035i −2.12615 0.0370416i
\(37\) 3912.71 + 3912.71i 0.469866 + 0.469866i 0.901871 0.432005i \(-0.142194\pi\)
−0.432005 + 0.901871i \(0.642194\pi\)
\(38\) 2710.74 + 23.6114i 0.304530 + 0.00265254i
\(39\) 15428.8i 1.62432i
\(40\) −2631.71 9771.08i −0.260069 0.965590i
\(41\) 11553.2i 1.07335i 0.843789 + 0.536675i \(0.180320\pi\)
−0.843789 + 0.536675i \(0.819680\pi\)
\(42\) 187.417 21516.8i 0.0163941 1.88215i
\(43\) 9090.09 + 9090.09i 0.749717 + 0.749717i 0.974426 0.224709i \(-0.0721432\pi\)
−0.224709 + 0.974426i \(0.572143\pi\)
\(44\) −4676.34 4842.17i −0.364145 0.377058i
\(45\) −13751.7 + 25402.8i −1.01234 + 1.87004i
\(46\) 12628.7 12410.6i 0.879961 0.864764i
\(47\) 23172.4i 1.53012i −0.643959 0.765060i \(-0.722709\pi\)
0.643959 0.765060i \(-0.277291\pi\)
\(48\) 20641.0 19250.6i 1.29309 1.20598i
\(49\) 2237.78 0.133146
\(50\) −17268.2 3782.90i −0.976835 0.213993i
\(51\) 26162.9 + 26162.9i 1.40851 + 1.40851i
\(52\) 12443.4 + 12884.7i 0.638162 + 0.660792i
\(53\) −4387.18 4387.18i −0.214534 0.214534i 0.591657 0.806190i \(-0.298474\pi\)
−0.806190 + 0.591657i \(0.798474\pi\)
\(54\) −42679.1 371.748i −1.99173 0.0173486i
\(55\) −11271.2 + 3353.95i −0.502418 + 0.149503i
\(56\) 17196.8 + 18119.9i 0.732787 + 0.772120i
\(57\) 13208.7 0.538484
\(58\) −26741.6 232.927i −1.04380 0.00909182i
\(59\) 10109.8 10109.8i 0.378105 0.378105i −0.492313 0.870418i \(-0.663849\pi\)
0.870418 + 0.492313i \(0.163849\pi\)
\(60\) −13237.3 47496.5i −0.474703 1.70327i
\(61\) −7489.74 7489.74i −0.257716 0.257716i 0.566408 0.824125i \(-0.308333\pi\)
−0.824125 + 0.566408i \(0.808333\pi\)
\(62\) −36212.0 + 35586.6i −1.19639 + 1.17573i
\(63\) 71310.6i 2.26361i
\(64\) −1711.69 + 32723.3i −0.0522366 + 0.998635i
\(65\) 29991.9 8924.63i 0.880483 0.262003i
\(66\) −22990.3 23394.3i −0.649658 0.661075i
\(67\) −41365.5 + 41365.5i −1.12577 + 1.12577i −0.134916 + 0.990857i \(0.543077\pi\)
−0.990857 + 0.134916i \(0.956923\pi\)
\(68\) −42949.2 748.257i −1.12637 0.0196236i
\(69\) 61004.7 61004.7i 1.54255 1.54255i
\(70\) 41934.6 12081.8i 1.02289 0.294704i
\(71\) 25331.5i 0.596369i 0.954508 + 0.298185i \(0.0963811\pi\)
−0.954508 + 0.298185i \(0.903619\pi\)
\(72\) 67847.3 64391.1i 1.54242 1.46384i
\(73\) 71908.6 1.57933 0.789666 0.613537i \(-0.210254\pi\)
0.789666 + 0.613537i \(0.210254\pi\)
\(74\) −31300.5 272.637i −0.664465 0.00578768i
\(75\) −84297.2 17698.8i −1.73045 0.363321i
\(76\) −11030.6 + 10652.9i −0.219061 + 0.211559i
\(77\) 20527.8 20527.8i 0.394563 0.394563i
\(78\) 61175.5 + 62250.6i 1.13852 + 1.15853i
\(79\) 83505.6 1.50539 0.752693 0.658371i \(-0.228754\pi\)
0.752693 + 0.658371i \(0.228754\pi\)
\(80\) 49360.6 + 28988.5i 0.862294 + 0.506409i
\(81\) −82397.6 −1.39541
\(82\) −45808.4 46613.4i −0.752334 0.765555i
\(83\) 57163.1 57163.1i 0.910795 0.910795i −0.0855399 0.996335i \(-0.527262\pi\)
0.996335 + 0.0855399i \(0.0272615\pi\)
\(84\) 84558.0 + 87556.5i 1.30754 + 1.35391i
\(85\) −35724.2 + 65991.5i −0.536309 + 0.990696i
\(86\) −72718.0 633.395i −1.06022 0.00923482i
\(87\) −130305. −1.84570
\(88\) 38066.8 + 994.921i 0.524010 + 0.0136956i
\(89\) 48501.3i 0.649051i −0.945877 0.324525i \(-0.894795\pi\)
0.945877 0.324525i \(-0.105205\pi\)
\(90\) −45238.6 157018.i −0.588712 2.04336i
\(91\) −54623.1 + 54623.1i −0.691469 + 0.691469i
\(92\) −1744.73 + 100146.i −0.0214911 + 1.23357i
\(93\) −174927. + 174927.i −2.09725 + 2.09725i
\(94\) 91878.6 + 93493.2i 1.07249 + 1.09134i
\(95\) 7640.41 + 25676.2i 0.0868576 + 0.291892i
\(96\) −6951.20 + 159512.i −0.0769807 + 1.76651i
\(97\) 85142.5i 0.918791i 0.888232 + 0.459396i \(0.151934\pi\)
−0.888232 + 0.459396i \(0.848066\pi\)
\(98\) −9028.73 + 8872.80i −0.0949645 + 0.0933245i
\(99\) −76863.6 76863.6i −0.788194 0.788194i
\(100\) 84670.9 53205.6i 0.846709 0.532056i
\(101\) −30049.1 + 30049.1i −0.293108 + 0.293108i −0.838307 0.545199i \(-0.816454\pi\)
0.545199 + 0.838307i \(0.316454\pi\)
\(102\) −209296. 1823.03i −1.99186 0.0173497i
\(103\) 187982. 1.74591 0.872956 0.487799i \(-0.162200\pi\)
0.872956 + 0.487799i \(0.162200\pi\)
\(104\) −101293. 2647.41i −0.918325 0.0240015i
\(105\) 203807. 60646.4i 1.80404 0.536824i
\(106\) 35096.1 + 305.697i 0.303385 + 0.00264257i
\(107\) 84721.0 + 84721.0i 0.715371 + 0.715371i 0.967654 0.252282i \(-0.0811811\pi\)
−0.252282 + 0.967654i \(0.581181\pi\)
\(108\) 173671. 167723.i 1.43274 1.38367i
\(109\) −27406.1 27406.1i −0.220943 0.220943i 0.587952 0.808896i \(-0.299934\pi\)
−0.808896 + 0.587952i \(0.799934\pi\)
\(110\) 32177.5 58222.7i 0.253554 0.458786i
\(111\) −152519. −1.17494
\(112\) −141229. 4922.45i −1.06385 0.0370797i
\(113\) 41936.1i 0.308952i 0.987997 + 0.154476i \(0.0493690\pi\)
−0.987997 + 0.154476i \(0.950631\pi\)
\(114\) −53293.0 + 52372.6i −0.384068 + 0.377435i
\(115\) 153874. + 83298.9i 1.08498 + 0.587347i
\(116\) 108818. 105091.i 0.750853 0.725138i
\(117\) 204529. + 204529.i 1.38130 + 1.38130i
\(118\) −704.448 + 80875.3i −0.00465740 + 0.534701i
\(119\) 185250.i 1.19920i
\(120\) 241732. + 139148.i 1.53243 + 0.882109i
\(121\) 116798.i 0.725225i
\(122\) 59915.6 + 521.883i 0.364452 + 0.00317449i
\(123\) −225173. 225173.i −1.34200 1.34200i
\(124\) 5002.90 287162.i 0.0292192 1.67715i
\(125\) −14356.2 174102.i −0.0821799 0.996618i
\(126\) 282747. + 287716.i 1.58662 + 1.61450i
\(127\) 169532.i 0.932699i −0.884601 0.466350i \(-0.845569\pi\)
0.884601 0.466350i \(-0.154431\pi\)
\(128\) −122842. 138815.i −0.662707 0.748879i
\(129\) −354335. −1.87473
\(130\) −85621.9 + 154926.i −0.444351 + 0.804020i
\(131\) −23331.2 23331.2i −0.118784 0.118784i 0.645216 0.764000i \(-0.276767\pi\)
−0.764000 + 0.645216i \(0.776767\pi\)
\(132\) 185517. + 3232.06i 0.926722 + 0.0161453i
\(133\) −46763.0 46763.0i −0.229231 0.229231i
\(134\) 2882.33 330911.i 0.0138670 1.59202i
\(135\) −120294. 404258.i −0.568080 1.90908i
\(136\) 176254. 167275.i 0.817129 0.775504i
\(137\) −194267. −0.884294 −0.442147 0.896943i \(-0.645783\pi\)
−0.442147 + 0.896943i \(0.645783\pi\)
\(138\) −4250.79 + 488019.i −0.0190008 + 2.18142i
\(139\) 75878.8 75878.8i 0.333107 0.333107i −0.520658 0.853765i \(-0.674313\pi\)
0.853765 + 0.520658i \(0.174313\pi\)
\(140\) −121289. + 215017.i −0.522998 + 0.927156i
\(141\) 451633. + 451633.i 1.91310 + 1.91310i
\(142\) −100440. 102205.i −0.418008 0.425354i
\(143\) 117753.i 0.481541i
\(144\) −18431.5 + 528813.i −0.0740719 + 2.12518i
\(145\) −75373.1 253298.i −0.297712 1.00049i
\(146\) −290129. + 285118.i −1.12644 + 1.10699i
\(147\) −43614.6 + 43614.6i −0.166471 + 0.166471i
\(148\) 127369. 123007.i 0.477979 0.461610i
\(149\) −89405.9 + 89405.9i −0.329914 + 0.329914i −0.852554 0.522640i \(-0.824947\pi\)
0.522640 + 0.852554i \(0.324947\pi\)
\(150\) 410289. 262830.i 1.48889 0.953777i
\(151\) 55419.6i 0.197798i −0.995097 0.0988988i \(-0.968468\pi\)
0.995097 0.0988988i \(-0.0315320\pi\)
\(152\) 2266.46 86717.5i 0.00795682 0.304437i
\(153\) −693645. −2.39557
\(154\) −1430.37 + 164216.i −0.00486012 + 0.557975i
\(155\) −441224. 238855.i −1.47513 0.798554i
\(156\) −493648. 8600.29i −1.62407 0.0282945i
\(157\) 352916. 352916.i 1.14267 1.14267i 0.154713 0.987959i \(-0.450555\pi\)
0.987959 0.154713i \(-0.0494453\pi\)
\(158\) −336919. + 331101.i −1.07370 + 1.05516i
\(159\) 171013. 0.536460
\(160\) −314094. + 78755.4i −0.969974 + 0.243209i
\(161\) −431952. −1.31332
\(162\) 332449. 326707.i 0.995261 0.978073i
\(163\) 308778. 308778.i 0.910286 0.910286i −0.0860087 0.996294i \(-0.527411\pi\)
0.996294 + 0.0860087i \(0.0274113\pi\)
\(164\) 369645. + 6439.93i 1.07319 + 0.0186970i
\(165\) 154309. 285047.i 0.441247 0.815093i
\(166\) −3983.11 + 457287.i −0.0112189 + 1.28801i
\(167\) 437490. 1.21388 0.606942 0.794746i \(-0.292396\pi\)
0.606942 + 0.794746i \(0.292396\pi\)
\(168\) −688327. 17990.2i −1.88158 0.0491772i
\(169\) 57960.0i 0.156103i
\(170\) −117521. 407902.i −0.311883 1.08251i
\(171\) −175098. + 175098.i −0.457921 + 0.457921i
\(172\) 295906. 285772.i 0.762663 0.736544i
\(173\) 11958.9 11958.9i 0.0303791 0.0303791i −0.691754 0.722133i \(-0.743162\pi\)
0.722133 + 0.691754i \(0.243162\pi\)
\(174\) 525739. 516659.i 1.31643 1.29369i
\(175\) 235780. + 361098.i 0.581984 + 0.891313i
\(176\) −157533. + 146921.i −0.383344 + 0.357522i
\(177\) 394083.i 0.945485i
\(178\) 192308. + 195688.i 0.454933 + 0.462928i
\(179\) 137059. + 137059.i 0.319723 + 0.319723i 0.848661 0.528938i \(-0.177410\pi\)
−0.528938 + 0.848661i \(0.677410\pi\)
\(180\) 805102. + 454148.i 1.85212 + 1.04476i
\(181\) 81282.8 81282.8i 0.184418 0.184418i −0.608860 0.793278i \(-0.708373\pi\)
0.793278 + 0.608860i \(0.208373\pi\)
\(182\) 3806.12 436968.i 0.00851734 0.977847i
\(183\) 291952. 0.644443
\(184\) −390039. 410974.i −0.849304 0.894891i
\(185\) −88222.6 296479.i −0.189518 0.636891i
\(186\) 12188.9 1.39937e6i 0.0258334 2.96585i
\(187\) −199676. 199676.i −0.417563 0.417563i
\(188\) −741403. 12916.6i −1.52989 0.0266536i
\(189\) 736258. + 736258.i 1.49925 + 1.49925i
\(190\) −132633. 73301.3i −0.266544 0.147308i
\(191\) 260451. 0.516586 0.258293 0.966067i \(-0.416840\pi\)
0.258293 + 0.966067i \(0.416840\pi\)
\(192\) −604421. 671143.i −1.18328 1.31390i
\(193\) 193276.i 0.373495i 0.982408 + 0.186747i \(0.0597946\pi\)
−0.982408 + 0.186747i \(0.940205\pi\)
\(194\) −337591. 343523.i −0.644000 0.655318i
\(195\) −410605. + 758490.i −0.773282 + 1.42844i
\(196\) 1247.37 71598.0i 0.00231930 0.133125i
\(197\) 426655. + 426655.i 0.783270 + 0.783270i 0.980381 0.197111i \(-0.0631560\pi\)
−0.197111 + 0.980381i \(0.563156\pi\)
\(198\) 614886. + 5355.83i 1.11463 + 0.00970877i
\(199\) 175233.i 0.313678i 0.987624 + 0.156839i \(0.0501303\pi\)
−0.987624 + 0.156839i \(0.949870\pi\)
\(200\) −130660. + 550389.i −0.230976 + 0.972959i
\(201\) 1.61244e6i 2.81510i
\(202\) 2093.81 240383.i 0.00361043 0.414501i
\(203\) 461320. + 461320.i 0.785710 + 0.785710i
\(204\) 851671. 822503.i 1.43284 1.38376i
\(205\) 307463. 567960.i 0.510984 0.943915i
\(206\) −758447. + 745349.i −1.24525 + 1.22375i
\(207\) 1.61739e6i 2.62354i
\(208\) 419183. 390946.i 0.671808 0.626555i
\(209\) −100809. −0.159637
\(210\) −581836. + 1.05279e6i −0.910441 + 1.64737i
\(211\) 290980. + 290980.i 0.449942 + 0.449942i 0.895335 0.445393i \(-0.146936\pi\)
−0.445393 + 0.895335i \(0.646936\pi\)
\(212\) −142814. + 137923.i −0.218238 + 0.210764i
\(213\) −493715. 493715.i −0.745637 0.745637i
\(214\) −677742. 5903.33i −1.01165 0.00881176i
\(215\) −204961. 688787.i −0.302395 1.01622i
\(216\) −35684.2 + 1.36532e6i −0.0520405 + 1.99113i
\(217\) 1.23860e6 1.78559
\(218\) 219240. + 1909.65i 0.312449 + 0.00272152i
\(219\) −1.40151e6 + 1.40151e6i −1.97463 + 1.97463i
\(220\) 101027. + 362494.i 0.140729 + 0.504946i
\(221\) 531324. + 531324.i 0.731777 + 0.731777i
\(222\) 615366. 604738.i 0.838013 0.823541i
\(223\) 278222.i 0.374653i −0.982298 0.187326i \(-0.940018\pi\)
0.982298 0.187326i \(-0.0599822\pi\)
\(224\) 589333. 540114.i 0.784767 0.719226i
\(225\) 1.35208e6 882845.i 1.78052 1.16259i
\(226\) −166277. 169199.i −0.216551 0.220357i
\(227\) −416592. + 416592.i −0.536594 + 0.536594i −0.922527 0.385933i \(-0.873880\pi\)
0.385933 + 0.922527i \(0.373880\pi\)
\(228\) 7362.75 422614.i 0.00938000 0.538403i
\(229\) 480894. 480894.i 0.605983 0.605983i −0.335911 0.941894i \(-0.609044\pi\)
0.941894 + 0.335911i \(0.109044\pi\)
\(230\) −951113. + 274026.i −1.18553 + 0.341564i
\(231\) 800181.i 0.986639i
\(232\) −22358.8 + 855473.i −0.0272727 + 1.04348i
\(233\) −475884. −0.574264 −0.287132 0.957891i \(-0.592702\pi\)
−0.287132 + 0.957891i \(0.592702\pi\)
\(234\) −1.63617e6 14251.5i −1.95338 0.0170146i
\(235\) −616682. + 1.13917e6i −0.728436 + 1.34560i
\(236\) −317829. 329100.i −0.371461 0.384634i
\(237\) −1.62754e6 + 1.62754e6i −1.88218 + 1.88218i
\(238\) 734519. + 747428.i 0.840545 + 0.855316i
\(239\) 187684. 0.212536 0.106268 0.994338i \(-0.466110\pi\)
0.106268 + 0.994338i \(0.466110\pi\)
\(240\) −1.52704e6 + 397054.i −1.71128 + 0.444961i
\(241\) −1.52222e6 −1.68825 −0.844123 0.536149i \(-0.819878\pi\)
−0.844123 + 0.536149i \(0.819878\pi\)
\(242\) −463106. 471245.i −0.508326 0.517259i
\(243\) 309515. 309515.i 0.336253 0.336253i
\(244\) −243810. + 235460.i −0.262167 + 0.253188i
\(245\) −110010. 59553.6i −0.117090 0.0633859i
\(246\) 1.80132e6 + 15690.0i 1.89781 + 0.0165305i
\(247\) 268246. 0.279763
\(248\) 1.11841e6 + 1.17844e6i 1.15471 + 1.21669i
\(249\) 2.22824e6i 2.27752i
\(250\) 748239. + 645524.i 0.757164 + 0.653225i
\(251\) 1.30956e6 1.30956e6i 1.31202 1.31202i 0.392092 0.919926i \(-0.371752\pi\)
0.919926 0.392092i \(-0.128248\pi\)
\(252\) −2.28159e6 39749.7i −2.26327 0.0394305i
\(253\) −465589. + 465589.i −0.457300 + 0.457300i
\(254\) 672194. + 684007.i 0.653748 + 0.665237i
\(255\) −589914. 1.98245e6i −0.568117 1.90921i
\(256\) 1.04603e6 + 73006.3i 0.997573 + 0.0696242i
\(257\) 1.63033e6i 1.53973i −0.638210 0.769863i \(-0.720325\pi\)
0.638210 0.769863i \(-0.279675\pi\)
\(258\) 1.42963e6 1.40494e6i 1.33713 1.31404i
\(259\) 539965. + 539965.i 0.500169 + 0.500169i
\(260\) −268827. 964571.i −0.246626 0.884914i
\(261\) 1.72735e6 1.72735e6i 1.56956 1.56956i
\(262\) 186643. + 1625.71i 0.167980 + 0.00146316i
\(263\) 229574. 0.204660 0.102330 0.994751i \(-0.467370\pi\)
0.102330 + 0.994751i \(0.467370\pi\)
\(264\) −761320. + 722537.i −0.672291 + 0.638044i
\(265\) 98920.6 + 332431.i 0.0865311 + 0.290795i
\(266\) 374090. + 3258.43i 0.324170 + 0.00282361i
\(267\) 945299. + 945299.i 0.811505 + 0.811505i
\(268\) 1.30044e6 + 1.34655e6i 1.10599 + 1.14521i
\(269\) −661431. 661431.i −0.557319 0.557319i 0.371224 0.928543i \(-0.378938\pi\)
−0.928543 + 0.371224i \(0.878938\pi\)
\(270\) 2.08823e6 + 1.15409e6i 1.74329 + 0.963451i
\(271\) −100315. −0.0829741 −0.0414871 0.999139i \(-0.513210\pi\)
−0.0414871 + 0.999139i \(0.513210\pi\)
\(272\) −47881.2 + 1.37375e6i −0.0392412 + 1.12586i
\(273\) 2.12922e6i 1.72908i
\(274\) 783805. 770269.i 0.630713 0.619821i
\(275\) 643358. + 135077.i 0.513004 + 0.107709i
\(276\) −1.91785e6 1.98586e6i −1.51545 1.56919i
\(277\) −1.50934e6 1.50934e6i −1.18192 1.18192i −0.979246 0.202674i \(-0.935037\pi\)
−0.202674 0.979246i \(1.43504\pi\)
\(278\) −5287.21 + 607007.i −0.00410312 + 0.471066i
\(279\) 4.63776e6i 3.56696i
\(280\) −363183. 1.34844e6i −0.276841 1.02786i
\(281\) 258255.i 0.195111i 0.995230 + 0.0975557i \(0.0311024\pi\)
−0.995230 + 0.0975557i \(0.968898\pi\)
\(282\) −3.61293e6 31469.6i −2.70543 0.0235651i
\(283\) 507241. + 507241.i 0.376485 + 0.376485i 0.869832 0.493347i \(-0.164227\pi\)
−0.493347 + 0.869832i \(0.664227\pi\)
\(284\) 810486. + 14120.2i 0.596279 + 0.0103883i
\(285\) −649347. 351521.i −0.473549 0.256354i
\(286\) −466893. 475098.i −0.337522 0.343453i
\(287\) 1.59437e6i 1.14257i
\(288\) −2.02238e6 2.20668e6i −1.43675 1.56768i
\(289\) −382091. −0.269106
\(290\) 1.30843e6 + 723122.i 0.913602 + 0.504913i
\(291\) −1.65944e6 1.65944e6i −1.14876 1.14876i
\(292\) 40083.0 2.30072e6i 0.0275108 1.57909i
\(293\) −171442. 171442.i −0.116667 0.116667i 0.646363 0.763030i \(-0.276289\pi\)
−0.763030 + 0.646363i \(0.776289\pi\)
\(294\) 3039.05 348904.i 0.00205055 0.235417i
\(295\) −766053. + 227953.i −0.512512 + 0.152507i
\(296\) −26170.5 + 1.00131e6i −0.0173613 + 0.664263i
\(297\) 1.58718e6 1.04408
\(298\) 6229.78 715220.i 0.00406380 0.466551i
\(299\) 1.23890e6 1.23890e6i 0.801416 0.801416i
\(300\) −613264. + 2.68724e6i −0.393409 + 1.72386i
\(301\) 1.25446e6 + 1.25446e6i 0.798068 + 0.798068i
\(302\) 219739. + 223601.i 0.138641 + 0.141077i
\(303\) 1.17132e6i 0.732942i
\(304\) 334691. + 358864.i 0.207711 + 0.222713i
\(305\) 168876. + 567523.i 0.103949 + 0.349328i
\(306\) 2.79864e6 2.75031e6i 1.70861 1.67910i
\(307\) −1.20853e6 + 1.20853e6i −0.731830 + 0.731830i −0.970982 0.239152i \(-0.923131\pi\)
0.239152 + 0.970982i \(0.423131\pi\)
\(308\) −645348. 668233.i −0.387630 0.401376i
\(309\) −3.66379e6 + 3.66379e6i −2.18290 + 2.18290i
\(310\) 2.72726e6 785752.i 1.61184 0.464388i
\(311\) 2.01801e6i 1.18310i 0.806268 + 0.591550i \(0.201484\pi\)
−0.806268 + 0.591550i \(0.798516\pi\)
\(312\) 2.02582e6 1.92262e6i 1.17819 1.11817i
\(313\) 2.49523e6 1.43962 0.719812 0.694169i \(-0.244228\pi\)
0.719812 + 0.694169i \(0.244228\pi\)
\(314\) −24591.1 + 2.82322e6i −0.0140752 + 1.61592i
\(315\) −1.89778e6 + 3.50566e6i −1.07763 + 1.99065i
\(316\) 46547.4 2.67177e6i 0.0262227 1.50516i
\(317\) −523934. + 523934.i −0.292839 + 0.292839i −0.838201 0.545362i \(-0.816392\pi\)
0.545362 + 0.838201i \(0.316392\pi\)
\(318\) −689986. + 678070.i −0.382624 + 0.376016i
\(319\) 994488. 0.547171
\(320\) 955006. 1.56314e6i 0.521352 0.853341i
\(321\) −3.30245e6 −1.78885
\(322\) 1.74279e6 1.71269e6i 0.936712 0.920535i
\(323\) −454869. + 454869.i −0.242594 + 0.242594i
\(324\) −45929.8 + 2.63632e6i −0.0243070 + 1.39520i
\(325\) −1.71193e6 359431.i −0.899037 0.188759i
\(326\) −21515.6 + 2.47013e6i −0.0112127 + 1.28729i
\(327\) 1.06830e6 0.552488
\(328\) −1.51694e6 + 1.43966e6i −0.778544 + 0.738884i
\(329\) 3.19785e6i 1.62880i
\(330\) 507626. + 1.76191e6i 0.256601 + 0.890635i
\(331\) 551718. 551718.i 0.276788 0.276788i −0.555038 0.831825i \(-0.687296\pi\)
0.831825 + 0.555038i \(0.187296\pi\)
\(332\) −1.79708e6 1.86081e6i −0.894791 0.926522i
\(333\) 2.02183e6 2.02183e6i 0.999156 0.999156i
\(334\) −1.76514e6 + 1.73465e6i −0.865789 + 0.850837i
\(335\) 3.13440e6 932696.i 1.52596 0.454075i
\(336\) 2.84852e6 2.65664e6i 1.37648 1.28376i
\(337\) 1.93506e6i 0.928152i 0.885795 + 0.464076i \(0.153614\pi\)
−0.885795 + 0.464076i \(0.846386\pi\)
\(338\) −229812. 233851.i −0.109416 0.111339i
\(339\) −817340. 817340.i −0.386281 0.386281i
\(340\) 2.09149e6 + 1.17979e6i 0.981203 + 0.553485i
\(341\) 1.33505e6 1.33505e6i 0.621744 0.621744i
\(342\) 12200.8 1.40073e6i 0.00564055 0.647573i
\(343\) −2.01059e6 −0.922761
\(344\) −60799.8 + 2.32627e6i −0.0277017 + 1.05990i
\(345\) −4.62253e6 + 1.37552e6i −2.09089 + 0.622182i
\(346\) −833.290 + 95667.2i −0.000374202 + 0.0429609i
\(347\) 9351.62 + 9351.62i 0.00416930 + 0.00416930i 0.709188 0.705019i \(-0.249062\pi\)
−0.705019 + 0.709188i \(0.749062\pi\)
\(348\) −72633.9 + 4.16912e6i −0.0321508 + 1.84542i
\(349\) −1.06874e6 1.06874e6i −0.469687 0.469687i 0.432126 0.901813i \(-0.357764\pi\)
−0.901813 + 0.432126i \(0.857764\pi\)
\(350\) −2.38306e6 522051.i −1.03983 0.227794i
\(351\) −4.22338e6 −1.82975
\(352\) 53051.7 1.21740e6i 0.0228214 0.523692i
\(353\) 2.37666e6i 1.01515i 0.861608 + 0.507574i \(0.169458\pi\)
−0.861608 + 0.507574i \(0.830542\pi\)
\(354\) −1.56254e6 1.59000e6i −0.662710 0.674357i
\(355\) 674144. 1.24531e6i 0.283911 0.524453i
\(356\) −1.55181e6 27035.4i −0.648952 0.0113060i
\(357\) 3.61056e6 + 3.61056e6i 1.49935 + 1.49935i
\(358\) −1.09643e6 9550.20i −0.452139 0.00393826i
\(359\) 1.02902e6i 0.421391i −0.977552 0.210696i \(-0.932427\pi\)
0.977552 0.210696i \(-0.0675729\pi\)
\(360\) −5.04904e6 + 1.35989e6i −2.05330 + 0.553029i
\(361\) 2.24645e6i 0.907255i
\(362\) −5663.76 + 650238.i −0.00227161 + 0.260796i
\(363\) −2.27642e6 2.27642e6i −0.906745 0.906745i
\(364\) 1.71722e6 + 1.77812e6i 0.679319 + 0.703409i
\(365\) −3.53506e6 1.91369e6i −1.38888 0.751864i
\(366\) −1.17794e6 + 1.15759e6i −0.459642 + 0.451704i
\(367\) 2.36805e6i 0.917754i −0.888500 0.458877i \(-0.848252\pi\)
0.888500 0.458877i \(-0.151748\pi\)
\(368\) 3.20320e6 + 111646.i 1.23300 + 0.0429756i
\(369\) 5.96990e6 2.28245
\(370\) 1.53149e6 + 846398.i 0.581582 + 0.321418i
\(371\) −605443. 605443.i −0.228370 0.228370i
\(372\) 5.49932e6 + 5.69433e6i 2.06040 + 2.13347i
\(373\) −179910. 179910.i −0.0669550 0.0669550i 0.672836 0.739791i \(-0.265076\pi\)
−0.739791 + 0.672836i \(0.765076\pi\)
\(374\) 1.59735e6 + 13913.4i 0.590501 + 0.00514344i
\(375\) 3.67308e6 + 3.11347e6i 1.34881 + 1.14332i
\(376\) 3.04254e6 2.88755e6i 1.10986 1.05332i
\(377\) −2.64626e6 −0.958913
\(378\) −5.88984e6 51302.2i −2.12019 0.0184674i
\(379\) 566555. 566555.i 0.202602 0.202602i −0.598512 0.801114i \(-0.704241\pi\)
0.801114 + 0.598512i \(0.204241\pi\)
\(380\) 825774. 230144.i 0.293361 0.0817599i
\(381\) 3.30420e6 + 3.30420e6i 1.16615 + 1.16615i
\(382\) −1.05084e6 + 1.03269e6i −0.368449 + 0.362086i
\(383\) 1.80323e6i 0.628136i 0.949401 + 0.314068i \(0.101692\pi\)
−0.949401 + 0.314068i \(0.898308\pi\)
\(384\) 5.09973e6 + 311319.i 1.76490 + 0.107740i
\(385\) −1.55546e6 + 462855.i −0.534820 + 0.159145i
\(386\) −766341. 779809.i −0.261791 0.266391i
\(387\) 4.69715e6 4.69715e6i 1.59425 1.59425i
\(388\) 2.72415e6 + 47459.8i 0.918652 + 0.0160047i
\(389\) 303240. 303240.i 0.101604 0.101604i −0.654477 0.756082i \(-0.727111\pi\)
0.756082 + 0.654477i \(0.227111\pi\)
\(390\) −1.35076e6 4.68832e6i −0.449692 1.56083i
\(391\) 4.20164e6i 1.38988i
\(392\) 278854. + 293821.i 0.0916561 + 0.0965758i
\(393\) 909459. 0.297031
\(394\) −3.41311e6 29729.2i −1.10767 0.00964812i
\(395\) −4.10518e6 2.22232e6i −1.32385 0.716662i
\(396\) −2.50211e6 + 2.41642e6i −0.801804 + 0.774344i
\(397\) 3.07647e6 3.07647e6i 0.979663 0.979663i −0.0201345 0.999797i \(-0.506409\pi\)
0.999797 + 0.0201345i \(0.00640946\pi\)
\(398\) −694801. 707011.i −0.219863 0.223727i
\(399\) 1.82284e6 0.573213
\(400\) −1.65512e6 2.73872e6i −0.517226 0.855849i
\(401\) 1.66432e6 0.516863 0.258431 0.966030i \(-0.416794\pi\)
0.258431 + 0.966030i \(0.416794\pi\)
\(402\) 6.39333e6 + 6.50569e6i 1.97316 + 2.00784i
\(403\) −3.55247e6 + 3.55247e6i −1.08960 + 1.08960i
\(404\) 944674. + 978174.i 0.287958 + 0.298169i
\(405\) 4.05071e6 + 2.19283e6i 1.22714 + 0.664306i
\(406\) −3.69042e6 32144.6i −1.11112 0.00967818i
\(407\) 1.16403e6 0.348319
\(408\) −174993. + 6.69543e6i −0.0520439 + 1.99126i
\(409\) 5.50637e6i 1.62763i 0.581121 + 0.813817i \(0.302614\pi\)
−0.581121 + 0.813817i \(0.697386\pi\)
\(410\) 1.01145e6 + 3.51063e6i 0.297156 + 1.03140i
\(411\) 3.78629e6 3.78629e6i 1.10563 1.10563i
\(412\) 104784. 6.01450e6i 0.0304125 1.74565i
\(413\) 1.39518e6 1.39518e6i 0.402490 0.402490i
\(414\) −6.41295e6 6.52565e6i −1.83890 1.87121i
\(415\) −4.33144e6 + 1.28890e6i −1.23456 + 0.367365i
\(416\) −141167. + 3.23941e6i −0.0399944 + 0.917768i
\(417\) 2.95778e6i 0.832963i
\(418\) 406733. 399709.i 0.113859 0.111893i
\(419\) 795452. + 795452.i 0.221350 + 0.221350i 0.809067 0.587717i \(-0.199973\pi\)
−0.587717 + 0.809067i \(0.699973\pi\)
\(420\) −1.82679e6 6.55465e6i −0.505318 1.81312i
\(421\) 1.68608e6 1.68608e6i 0.463630 0.463630i −0.436213 0.899843i \(-0.643681\pi\)
0.899843 + 0.436213i \(0.143681\pi\)
\(422\) −2.32775e6 20275.4i −0.636291 0.00554228i
\(423\) −1.19739e7 −3.25376
\(424\) 29343.9 1.12273e6i 0.00792691 0.303293i
\(425\) 3.51244e6 2.29345e6i 0.943271 0.615910i
\(426\) 3.94957e6 + 34401.9i 1.05445 + 0.00918457i
\(427\) −1.03361e6 1.03361e6i −0.274337 0.274337i
\(428\) 2.75789e6 2.66344e6i 0.727724 0.702802i
\(429\) −2.29503e6 2.29503e6i −0.602068 0.602068i
\(430\) 3.55800e6 + 1.96637e6i 0.927971 + 0.512854i
\(431\) −1.77017e6 −0.459010 −0.229505 0.973308i \(-0.573711\pi\)
−0.229505 + 0.973308i \(0.573711\pi\)
\(432\) −5.26952e6 5.65012e6i −1.35851 1.45663i
\(433\) 6.20991e6i 1.59172i 0.605484 + 0.795858i \(0.292980\pi\)
−0.605484 + 0.795858i \(0.707020\pi\)
\(434\) −4.99736e6 + 4.91105e6i −1.27355 + 1.25156i
\(435\) 6.40584e6 + 3.46778e6i 1.62313 + 0.878674i
\(436\) −892139. + 861585.i −0.224758 + 0.217061i
\(437\) 1.06063e6 + 1.06063e6i 0.265680 + 0.265680i
\(438\) 97656.7 1.12116e7i 0.0243230 2.79244i
\(439\) 2.59345e6i 0.642270i −0.947033 0.321135i \(-0.895936\pi\)
0.947033 0.321135i \(-0.104064\pi\)
\(440\) −1.84491e6 1.06198e6i −0.454300 0.261507i
\(441\) 1.15633e6i 0.283130i
\(442\) −4.25043e6 37022.5i −1.03485 0.00901384i
\(443\) 13450.1 + 13450.1i 0.00325625 + 0.00325625i 0.708733 0.705477i \(-0.249267\pi\)
−0.705477 + 0.708733i \(0.749267\pi\)
\(444\) −85016.5 + 4.87986e6i −0.0204666 + 1.17476i
\(445\) −1.29076e6 + 2.38435e6i −0.308990 + 0.570782i
\(446\) 1.10315e6 + 1.12254e6i 0.262602 + 0.267217i
\(447\) 3.48507e6i 0.824979i
\(448\) −236218. + 4.51590e6i −0.0556055 + 1.06304i
\(449\) −3.00429e6 −0.703277 −0.351639 0.936136i \(-0.614375\pi\)
−0.351639 + 0.936136i \(0.614375\pi\)
\(450\) −1.95475e6 + 8.92303e6i −0.455050 + 2.07721i
\(451\) 1.71853e6 + 1.71853e6i 0.397846 + 0.397846i
\(452\) 1.34175e6 + 23375.8i 0.308905 + 0.00538172i
\(453\) 1.08014e6 + 1.08014e6i 0.247305 + 0.247305i
\(454\) 29028.0 3.33261e6i 0.00660963 0.758830i
\(455\) 4.13897e6 1.23162e6i 0.937269 0.278901i
\(456\) 1.64596e6 + 1.73431e6i 0.370688 + 0.390584i
\(457\) −8.52504e6 −1.90944 −0.954720 0.297507i \(-0.903845\pi\)
−0.954720 + 0.297507i \(0.903845\pi\)
\(458\) −33508.5 + 3.84701e6i −0.00746435 + 0.856957i
\(459\) 7.16165e6 7.16165e6i 1.58665 1.58665i
\(460\) 2.75093e6 4.87678e6i 0.606157 1.07458i
\(461\) −5.29064e6 5.29064e6i −1.15946 1.15946i −0.984592 0.174868i \(-0.944050\pi\)
−0.174868 0.984592i \(-0.555950\pi\)
\(462\) −3.17272e6 3.22848e6i −0.691556 0.703709i
\(463\) 5.39407e6i 1.16940i 0.811249 + 0.584701i \(0.198788\pi\)
−0.811249 + 0.584701i \(0.801212\pi\)
\(464\) −3.30175e6 3.54022e6i −0.711949 0.763370i
\(465\) 1.32548e7 3.94421e6i 2.84277 0.845916i
\(466\) 1.92005e6 1.88689e6i 0.409587 0.402514i
\(467\) −2.89183e6 + 2.89183e6i −0.613594 + 0.613594i −0.943881 0.330287i \(-0.892855\pi\)
0.330287 + 0.943881i \(0.392855\pi\)
\(468\) 6.65793e6 6.42991e6i 1.40516 1.35703i
\(469\) −5.70855e6 + 5.70855e6i −1.19838 + 1.19838i
\(470\) −2.02868e6 7.04133e6i −0.423612 1.47031i
\(471\) 1.37568e7i 2.85735i
\(472\) 2.58722e6 + 67620.1i 0.534539 + 0.0139708i
\(473\) 2.70429e6 0.555777
\(474\) 113406. 1.30198e7i 0.0231842 2.66170i
\(475\) 307711. 1.46559e6i 0.0625761 0.298043i
\(476\) −5.92711e6 103262.i −1.19902 0.0208892i
\(477\) −2.26700e6 + 2.26700e6i −0.456200 + 0.456200i
\(478\) −757247. + 744169.i −0.151589 + 0.148971i
\(479\) 28762.8 0.00572785 0.00286393 0.999996i \(-0.499088\pi\)
0.00286393 + 0.999996i \(0.499088\pi\)
\(480\) 4.58679e6 7.65670e6i 0.908669 1.51684i
\(481\) −3.09739e6 −0.610426
\(482\) 6.14170e6 6.03563e6i 1.20412 1.18333i
\(483\) 8.41882e6 8.41882e6i 1.64204 1.64204i
\(484\) 3.73698e6 + 65105.3i 0.725115 + 0.0126329i
\(485\) 2.26588e6 4.18565e6i 0.437404 0.807994i
\(486\) −21566.9 + 2.47602e6i −0.00414187 + 0.475515i
\(487\) −1.00936e6 −0.192853 −0.0964263 0.995340i \(-0.530741\pi\)
−0.0964263 + 0.995340i \(0.530741\pi\)
\(488\) 50095.7 1.91672e6i 0.00952249 0.364342i
\(489\) 1.20363e7i 2.27625i
\(490\) 679988. 195911.i 0.127941 0.0368612i
\(491\) 3.49614e6 3.49614e6i 0.654462 0.654462i −0.299602 0.954064i \(-0.596854\pi\)
0.954064 + 0.299602i \(0.0968539\pi\)
\(492\) −7.32996e6 + 7.07893e6i −1.36518 + 1.31842i
\(493\) 4.48731e6 4.48731e6i 0.831512 0.831512i
\(494\) −1.08229e6 + 1.06360e6i −0.199538 + 0.196092i
\(495\) 1.73310e6 + 5.82422e6i 0.317914 + 1.06838i
\(496\) −9.18499e6 320137.i −1.67639 0.0584295i
\(497\) 3.49582e6i 0.634831i
\(498\) −8.83497e6 8.99024e6i −1.59636 1.62442i
\(499\) −3.24295e6 3.24295e6i −0.583028 0.583028i 0.352706 0.935734i \(-0.385262\pi\)
−0.935734 + 0.352706i \(0.885262\pi\)
\(500\) −5.57842e6 + 362283.i −0.997898 + 0.0648071i
\(501\) −8.52675e6 + 8.52675e6i −1.51771 + 1.51771i
\(502\) −91249.4 + 1.04760e7i −0.0161611 + 1.85540i
\(503\) 8.33969e6 1.46970 0.734852 0.678227i \(-0.237252\pi\)
0.734852 + 0.678227i \(0.237252\pi\)
\(504\) 9.36312e6 8.88615e6i 1.64189 1.55825i
\(505\) 2.27692e6 677537.i 0.397300 0.118224i
\(506\) 32442.1 3.72457e6i 0.00563291 0.646696i
\(507\) −1.12965e6 1.12965e6i −0.195175 0.195175i
\(508\) −5.42419e6 94499.7i −0.932558 0.0162469i
\(509\) 4.29380e6 + 4.29380e6i 0.734593 + 0.734593i 0.971526 0.236933i \(-0.0761421\pi\)
−0.236933 + 0.971526i \(0.576142\pi\)
\(510\) 1.02406e7 + 5.65957e6i 1.74341 + 0.963514i
\(511\) 9.92358e6 1.68119
\(512\) −4.50988e6 + 3.85297e6i −0.760309 + 0.649561i
\(513\) 3.61565e6i 0.606587i
\(514\) 6.46428e6 + 6.57788e6i 1.07923 + 1.09819i
\(515\) −9.24128e6 5.00273e6i −1.53537 0.831168i
\(516\) −197512. + 1.13370e7i −0.0326565 + 1.87445i
\(517\) −3.44687e6 3.44687e6i −0.567151 0.567151i
\(518\) −4.31956e6 37624.6i −0.707318 0.00616095i
\(519\) 466160.i 0.0759656i
\(520\) 4.90917e6 + 2.82584e6i 0.796158 + 0.458289i
\(521\) 2.16011e6i 0.348644i −0.984689 0.174322i \(-0.944227\pi\)
0.984689 0.174322i \(-0.0557734\pi\)
\(522\) −120361. + 1.38183e7i −0.0193335 + 2.21961i
\(523\) −3.07264e6 3.07264e6i −0.491199 0.491199i 0.417485 0.908684i \(-0.362912\pi\)
−0.908684 + 0.417485i \(0.862912\pi\)
\(524\) −759492. + 733481.i −0.120836 + 0.116697i
\(525\) −1.16333e7 2.44248e6i −1.84206 0.386752i
\(526\) −926259. + 910262.i −0.145971 + 0.143451i
\(527\) 1.20480e7i 1.88967i
\(528\) 206821. 5.93385e6i 0.0322856 0.926300i
\(529\) 3.36072e6 0.522148
\(530\) −1.71721e6 949034.i −0.265542 0.146755i
\(531\) −5.22406e6 5.22406e6i −0.804030 0.804030i
\(532\) −1.52226e6 + 1.47012e6i −0.233189 + 0.225203i
\(533\) −4.57287e6 4.57287e6i −0.697222 0.697222i
\(534\) −7.56210e6 65868.1i −1.14760 0.00999591i
\(535\) −1.91026e6 6.41959e6i −0.288542 0.969668i
\(536\) −1.05859e7 276676.i −1.59154 0.0415968i
\(537\) −5.34259e6 −0.799495
\(538\) 5.29125e6 + 46088.3i 0.788138 + 0.00686491i
\(539\) 332868. 332868.i 0.0493514 0.0493514i
\(540\) −1.30013e7 + 3.62348e6i −1.91869 + 0.534739i
\(541\) 3.66127e6 + 3.66127e6i 0.537822 + 0.537822i 0.922889 0.385067i \(-0.125822\pi\)
−0.385067 + 0.922889i \(0.625822\pi\)
\(542\) 404740. 397750.i 0.0591804 0.0581583i
\(543\) 3.16843e6i 0.461153i
\(544\) −5.25374e6 5.73250e6i −0.761152 0.830514i
\(545\) 617944. + 2.07665e6i 0.0891165 + 0.299483i
\(546\) 8.44239e6 + 8.59076e6i 1.21195 + 1.23325i
\(547\) −4.30382e6 + 4.30382e6i −0.615015 + 0.615015i −0.944248 0.329234i \(-0.893210\pi\)
0.329234 + 0.944248i \(0.393210\pi\)
\(548\) −108287. + 6.21559e6i −0.0154038 + 0.884160i
\(549\) −3.87019e6 + 3.87019e6i −0.548027 + 0.548027i
\(550\) −3.13133e6 + 2.00592e6i −0.441390 + 0.282753i
\(551\) 2.26548e6i 0.317893i
\(552\) 1.56119e7 + 408035.i 2.18076 + 0.0569966i
\(553\) 1.15240e7 1.60247
\(554\) 1.20743e7 + 105170.i 1.67142 + 0.0145586i
\(555\) 7.49790e6 + 4.05896e6i 1.03325 + 0.559348i
\(556\) −2.38546e6 2.47005e6i −0.327254 0.338859i
\(557\) 5.05402e6 5.05402e6i 0.690238 0.690238i −0.272046 0.962284i \(-0.587700\pi\)
0.962284 + 0.272046i \(0.0877003\pi\)
\(558\) 1.83888e7 + 1.87119e7i 2.50016 + 2.54409i
\(559\) −7.19592e6 −0.973995
\(560\) 6.81190e6 + 4.00050e6i 0.917906 + 0.539069i
\(561\) 7.78344e6 1.04415
\(562\) −1.02398e6 1.04198e6i −0.136758 0.139161i
\(563\) 1.09726e6 1.09726e6i 0.145895 0.145895i −0.630387 0.776281i \(-0.717104\pi\)
0.776281 + 0.630387i \(0.217104\pi\)
\(564\) 1.47018e7 1.41983e7i 1.94614 1.87949i
\(565\) 1.11604e6 2.06160e6i 0.147081 0.271696i
\(566\) −4.05777e6 35344.4i −0.532410 0.00463745i
\(567\) −1.13711e7 −1.48540
\(568\) −3.32604e6 + 3.15661e6i −0.432571 + 0.410535i
\(569\) 4.40927e6i 0.570934i 0.958388 + 0.285467i \(0.0921488\pi\)
−0.958388 + 0.285467i \(0.907851\pi\)
\(570\) 4.01370e6 1.15639e6i 0.517437 0.149079i
\(571\) −5.21349e6 + 5.21349e6i −0.669173 + 0.669173i −0.957525 0.288352i \(-0.906893\pi\)
0.288352 + 0.957525i \(0.406893\pi\)
\(572\) 3.76753e6 + 65637.6i 0.481468 + 0.00838808i
\(573\) −5.07623e6 + 5.07623e6i −0.645884 + 0.645884i
\(574\) −6.32169e6 6.43279e6i −0.800854 0.814928i
\(575\) −5.34769e6 8.19003e6i −0.674523 1.03304i
\(576\) 1.69092e7 + 884486.i 2.12357 + 0.111080i
\(577\) 1.27570e7i 1.59518i −0.603201 0.797590i \(-0.706108\pi\)
0.603201 0.797590i \(-0.293892\pi\)
\(578\) 1.54162e6 1.51500e6i 0.191937 0.188622i
\(579\) −3.76698e6 3.76698e6i −0.466979 0.466979i
\(580\) −8.14631e6 + 2.27038e6i −1.00552 + 0.280239i
\(581\) 7.88867e6 7.88867e6i 0.969535 0.969535i
\(582\) 1.32750e7 + 115629.i 1.62453 + 0.0141501i
\(583\) −1.30518e6 −0.159037
\(584\) 8.96067e6 + 9.44164e6i 1.08720 + 1.14555i
\(585\) −4.61165e6 1.54978e7i −0.557142 1.87232i
\(586\) 1.37149e6 + 11946.0i 0.164986 + 0.00143708i
\(587\) 8.37792e6 + 8.37792e6i 1.00355 + 1.00355i 0.999994 + 0.00356051i \(0.00113335\pi\)
0.00356051 + 0.999994i \(0.498867\pi\)
\(588\) 1.37114e6 + 1.41977e6i 0.163546 + 0.169346i
\(589\) −3.04129e6 3.04129e6i −0.361218 0.361218i
\(590\) 2.18695e6 3.95713e6i 0.258648 0.468004i
\(591\) −1.66312e7 −1.95864
\(592\) −3.86462e6 4.14375e6i −0.453214 0.485947i
\(593\) 7.60813e6i 0.888467i 0.895911 + 0.444234i \(0.146524\pi\)
−0.895911 + 0.444234i \(0.853476\pi\)
\(594\) −6.40379e6 + 6.29319e6i −0.744682 + 0.731821i
\(595\) −4.93004e6 + 9.10701e6i −0.570897 + 1.05459i
\(596\) 2.81072e6 + 2.91039e6i 0.324117 + 0.335611i
\(597\) −3.41532e6 3.41532e6i −0.392190 0.392190i
\(598\) −86326.1 + 9.91082e6i −0.00987164 + 1.13333i
\(599\) 256241.i 0.0291798i 0.999894 + 0.0145899i \(0.00464427\pi\)
−0.999894 + 0.0145899i \(0.995356\pi\)
\(600\) −8.18058e6 1.32738e7i −0.927697 1.50527i
\(601\) 1.07628e7i 1.21546i 0.794144 + 0.607729i \(0.207919\pi\)
−0.794144 + 0.607729i \(0.792081\pi\)
\(602\) −1.00353e7 87410.3i −1.12860 0.00983040i
\(603\) 2.13749e7 + 2.13749e7i 2.39393 + 2.39393i
\(604\) −1.77316e6 30891.8i −0.197768 0.00344549i
\(605\) 3.10833e6 5.74186e6i 0.345254 0.637771i
\(606\) 4.64430e6 + 4.72592e6i 0.513735 + 0.522763i
\(607\) 523259.i 0.0576428i 0.999585 + 0.0288214i \(0.00917540\pi\)
−0.999585 + 0.0288214i \(0.990825\pi\)
\(608\) −2.77327e6 120853.i −0.304252 0.0132587i
\(609\) −1.79824e7 −1.96474
\(610\) −2.93160e6 1.62018e6i −0.318992 0.176295i
\(611\) 9.17188e6 + 9.17188e6i 0.993929 + 0.993929i
\(612\) −386649. + 2.21933e7i −0.0417290 + 2.39520i
\(613\) −4.28573e6 4.28573e6i −0.460653 0.460653i 0.438216 0.898870i \(-0.355610\pi\)
−0.898870 + 0.438216i \(0.855610\pi\)
\(614\) 84209.7 9.66784e6i 0.00901450 1.03492i
\(615\) 5.07713e6 + 1.70621e7i 0.541291 + 1.81905i
\(616\) 5.25333e6 + 137302.i 0.557806 + 0.0145789i
\(617\) 1.66349e7 1.75917 0.879585 0.475741i \(-0.157820\pi\)
0.879585 + 0.475741i \(0.157820\pi\)
\(618\) 255292. 2.93092e7i 0.0268885 3.08698i
\(619\) 3.15889e6 3.15889e6i 0.331365 0.331365i −0.521739 0.853105i \(-0.674717\pi\)
0.853105 + 0.521739i \(0.174717\pi\)
\(620\) −7.88813e6 + 1.39839e7i −0.824129 + 1.46099i
\(621\) −1.66990e7 1.66990e7i −1.73764 1.73764i
\(622\) −8.00141e6 8.14203e6i −0.829260 0.843833i
\(623\) 6.69332e6i 0.690910i
\(624\) −550335. + 1.57896e7i −0.0565804 + 1.62334i
\(625\) −3.92759e6 + 8.94100e6i −0.402185 + 0.915559i
\(626\) −1.00675e7 + 9.89359e6i −1.02680 + 1.00906i
\(627\) 1.96479e6 1.96479e6i 0.199593 0.199593i
\(628\) −1.10949e7 1.14883e7i −1.12259 1.16240i
\(629\) 5.25230e6 5.25230e6i 0.529325 0.529325i
\(630\) −6.24305e6 2.16690e7i −0.626680 2.17514i
\(631\) 3.05902e6i 0.305850i −0.988238 0.152925i \(-0.951131\pi\)
0.988238 0.152925i \(-0.0488694\pi\)
\(632\) 1.04058e7 + 1.09643e7i 1.03629 + 1.09192i
\(633\) −1.13425e7 −1.12512
\(634\) 36507.6 4.19131e6i 0.00360711 0.414121i
\(635\) −4.51172e6 + 8.33427e6i −0.444025 + 0.820225i
\(636\) 95325.7 5.47160e6i 0.00934474 0.536379i
\(637\) −885737. + 885737.i −0.0864881 + 0.0864881i
\(638\) −4.01245e6 + 3.94315e6i −0.390263 + 0.383523i
\(639\) 1.30896e7 1.26816
\(640\) 2.34471e6 + 1.00934e7i 0.226276 + 0.974063i
\(641\) 1.09355e7 1.05122 0.525611 0.850725i \(-0.323837\pi\)
0.525611 + 0.850725i \(0.323837\pi\)
\(642\) 1.33244e7 1.30942e7i 1.27588 1.25384i
\(643\) 18781.2 18781.2i 0.00179142 0.00179142i −0.706211 0.708002i \(-0.749597\pi\)
0.708002 + 0.706211i \(0.249597\pi\)
\(644\) −240777. + 1.38204e7i −0.0228771 + 1.31312i
\(645\) 1.74193e7 + 9.42985e6i 1.64866 + 0.892495i
\(646\) 31695.1 3.63881e6i 0.00298821 0.343066i
\(647\) 1.61622e7 1.51789 0.758943 0.651157i \(-0.225716\pi\)
0.758943 + 0.651157i \(0.225716\pi\)
\(648\) −1.02677e7 1.08189e7i −0.960588 1.01215i
\(649\) 3.00765e6i 0.280295i
\(650\) 8.33225e6 5.33762e6i 0.773533 0.495524i
\(651\) −2.41405e7 + 2.41405e7i −2.23251 + 2.23251i
\(652\) −9.70729e6 1.00515e7i −0.894291 0.926004i
\(653\) −8.34030e6 + 8.34030e6i −0.765418 + 0.765418i −0.977296 0.211878i \(-0.932042\pi\)
0.211878 + 0.977296i \(0.432042\pi\)
\(654\) −4.31025e6 + 4.23581e6i −0.394056 + 0.387251i
\(655\) 526066. + 1.76789e6i 0.0479112 + 0.161009i
\(656\) 412093. 1.18233e7i 0.0373883 1.07270i
\(657\) 3.71575e7i 3.35840i
\(658\) 1.26795e7 + 1.29023e7i 1.14166 + 1.16173i
\(659\) −3.79829e6 3.79829e6i −0.340702 0.340702i 0.515929 0.856631i \(-0.327447\pi\)
−0.856631 + 0.515929i \(0.827447\pi\)
\(660\) −9.03411e6 5.09603e6i −0.807283 0.455378i
\(661\) −420683. + 420683.i −0.0374499 + 0.0374499i −0.725584 0.688134i \(-0.758430\pi\)
0.688134 + 0.725584i \(0.258430\pi\)
\(662\) −38443.5 + 4.41357e6i −0.00340940 + 0.391422i
\(663\) −2.07112e7 −1.82987
\(664\) 1.46288e7 + 382340.i 1.28762 + 0.0336534i
\(665\) 1.05440e6 + 3.54339e6i 0.0924593 + 0.310717i
\(666\) −140880. + 1.61740e7i −0.0123073 + 1.41297i
\(667\) −1.04631e7 1.04631e7i −0.910642 0.910642i
\(668\) 243864. 1.39976e7i 0.0211450 1.21370i
\(669\) 5.42259e6 + 5.42259e6i 0.468426 + 0.468426i
\(670\) −8.94818e6 + 1.61911e7i −0.770101 + 1.39344i
\(671\) −2.22819e6 −0.191049
\(672\) −959285. + 2.20131e7i −0.0819454 + 1.88043i
\(673\) 5.36149e6i 0.456297i 0.973626 + 0.228148i \(0.0732672\pi\)
−0.973626 + 0.228148i \(0.926733\pi\)
\(674\) −7.67252e6 7.80735e6i −0.650561 0.661994i
\(675\) −4.84473e6 + 2.30749e7i −0.409271 + 1.94931i
\(676\) 1.85444e6 + 32307.9i 0.156079 + 0.00271920i
\(677\) −7.96962e6 7.96962e6i −0.668292 0.668292i 0.289029 0.957320i \(-0.406668\pi\)
−0.957320 + 0.289029i \(0.906668\pi\)
\(678\) 6.53848e6 + 56952.0i 0.546264 + 0.00475812i
\(679\) 1.17499e7i 0.978047i
\(680\) −1.31164e7 + 3.53272e6i −1.08778 + 0.292979i
\(681\) 1.62389e7i 1.34180i
\(682\) −93025.8 + 1.06800e7i −0.00765848 + 0.879245i
\(683\) 4.54873e6 + 4.54873e6i 0.373111 + 0.373111i 0.868609 0.495498i \(-0.165014\pi\)
−0.495498 + 0.868609i \(0.665014\pi\)
\(684\) 5.50468e6 + 5.69988e6i 0.449875 + 0.465828i
\(685\) 9.55025e6 + 5.16999e6i 0.777657 + 0.420982i
\(686\) 8.11212e6 7.97202e6i 0.658149 0.646782i
\(687\) 1.87454e7i 1.51531i
\(688\) −8.97837e6 9.62684e6i −0.723147 0.775377i
\(689\) 3.47299e6 0.278712
\(690\) 1.31965e7 2.38782e7i 1.05521 1.90932i
\(691\) −6.54528e6 6.54528e6i −0.521475 0.521475i 0.396542 0.918017i \(-0.370210\pi\)
−0.918017 + 0.396542i \(0.870210\pi\)
\(692\) −375959. 389291.i −0.0298453 0.0309036i
\(693\) −1.06074e7 1.06074e7i −0.839027 0.839027i
\(694\) −74810.1 651.618i −0.00589606 5.13564e-5i
\(695\) −5.74959e6 + 1.71089e6i −0.451518 + 0.134357i
\(696\) −1.62375e7 1.71091e7i −1.27056 1.33876i
\(697\) 1.55086e7 1.20918
\(698\) 8.54960e6 + 74469.5i 0.664213 + 0.00578549i
\(699\) 9.27506e6 9.27506e6i 0.717999 0.717999i
\(700\) 1.16848e7 7.34252e6i 0.901316 0.566370i
\(701\) 5.46002e6 + 5.46002e6i 0.419662 + 0.419662i 0.885087 0.465425i \(-0.154099\pi\)
−0.465425 + 0.885087i \(0.654099\pi\)
\(702\) 1.70400e7 1.67457e7i 1.30505 1.28251i
\(703\) 2.65169e6i 0.202365i
\(704\) 4.61295e6 + 5.12218e6i 0.350790 + 0.389514i
\(705\) −1.01833e7 3.42217e7i −0.771640 2.59316i
\(706\) −9.42346e6 9.58907e6i −0.711539 0.724043i
\(707\) −4.14685e6 + 4.14685e6i −0.312011 + 0.312011i
\(708\) 1.26087e7 + 219668.i 0.945342 + 0.0164697i
\(709\) 3.98168e6 3.98168e6i 0.297475 0.297475i −0.542549 0.840024i \(-0.682541\pi\)
0.840024 + 0.542549i \(0.182541\pi\)
\(710\) 2.21771e6 + 7.69742e6i 0.165104 + 0.573059i
\(711\) 4.31501e7i 3.20116i
\(712\) 6.36826e6 6.04385e6i 0.470783 0.446801i
\(713\) −2.80925e7 −2.06951
\(714\) −2.88834e7 251583.i −2.12033 0.0184687i
\(715\) 3.13375e6 5.78881e6i 0.229245 0.423472i
\(716\) 4.46161e6 4.30881e6i 0.325244 0.314105i
\(717\) −3.65799e6 + 3.65799e6i −0.265733 + 0.265733i
\(718\) 4.08005e6 + 4.15175e6i 0.295362 + 0.300553i
\(719\) 1.68325e7 1.21430 0.607150 0.794587i \(-0.292313\pi\)
0.607150 + 0.794587i \(0.292313\pi\)
\(720\) 1.49793e7 2.55062e7i 1.07686 1.83364i
\(721\) 2.59420e7 1.85851
\(722\) 8.90720e6 + 9.06374e6i 0.635914 + 0.647089i
\(723\) 2.96684e7 2.96684e7i 2.11080 2.11080i
\(724\) −2.55535e6 2.64596e6i −0.181177 0.187602i
\(725\) −3.03558e6 + 1.44581e7i −0.214485 + 1.02157i
\(726\) 1.82106e7 + 158620.i 1.28228 + 0.0111691i
\(727\) −3.55923e6 −0.249758 −0.124879 0.992172i \(-0.539854\pi\)
−0.124879 + 0.992172i \(0.539854\pi\)
\(728\) −1.39787e7 365350.i −0.977551 0.0255494i
\(729\) 7.95763e6i 0.554581i
\(730\) 2.18507e7 6.29541e6i 1.51760 0.437237i
\(731\) 1.22022e7 1.22022e7i 0.844590 0.844590i
\(732\) 162739. 9.34106e6i 0.0112257 0.644345i
\(733\) 1.20275e7 1.20275e7i 0.826828 0.826828i −0.160249 0.987077i \(-0.551230\pi\)
0.987077 + 0.160249i \(0.0512297\pi\)
\(734\) 9.38935e6 + 9.55435e6i 0.643273 + 0.654578i
\(735\) 3.30483e6 983409.i 0.225647 0.0671453i
\(736\) −1.33666e7 + 1.22503e7i −0.909549 + 0.833587i
\(737\) 1.23062e7i 0.834553i
\(738\) −2.40867e7 + 2.36707e7i −1.62793 + 1.59982i
\(739\) −1.78493e7 1.78493e7i −1.20229 1.20229i −0.973468 0.228822i \(-0.926513\pi\)
−0.228822 0.973468i \(-0.573487\pi\)
\(740\) −9.53508e6 + 2.65743e6i −0.640096 + 0.178395i
\(741\) −5.22815e6 + 5.22815e6i −0.349786 + 0.349786i
\(742\) 4.84336e6 + 42187.0i 0.322951 + 0.00281300i
\(743\) 2.57200e7 1.70923 0.854613 0.519265i \(-0.173794\pi\)
0.854613 + 0.519265i \(0.173794\pi\)
\(744\) −4.47661e7 1.17001e6i −2.96495 0.0774924i
\(745\) 6.77459e6 2.01590e6i 0.447190 0.133069i
\(746\) 1.43922e6 + 12536.1i 0.0946850 + 0.000824734i
\(747\) −2.95380e7 2.95380e7i −1.93678 1.93678i
\(748\) −6.49997e6 + 6.27736e6i −0.424773 + 0.410226i
\(749\) 1.16917e7 + 1.16917e7i 0.761508 + 0.761508i
\(750\) −2.71647e7 + 2.00192e6i −1.76340 + 0.129955i
\(751\) 8.31331e6 0.537866 0.268933 0.963159i \(-0.413329\pi\)
0.268933 + 0.963159i \(0.413329\pi\)
\(752\) −826540. + 2.37141e7i −0.0532990 + 1.52919i
\(753\) 5.10469e7i 3.28082i
\(754\) 1.06768e7 1.04924e7i 0.683934 0.672122i
\(755\) −1.47487e6 + 2.72446e6i −0.0941645 + 0.173945i
\(756\) 2.39671e7 2.31463e7i 1.52514 1.47291i
\(757\) −1.15755e6 1.15755e6i −0.0734176 0.0734176i 0.669444 0.742862i \(-0.266532\pi\)
−0.742862 + 0.669444i \(0.766532\pi\)
\(758\) −39477.4 + 4.53227e6i −0.00249560 + 0.286512i
\(759\) 1.81488e7i 1.14352i
\(760\) −2.41922e6 + 4.20276e6i −0.151929 + 0.263937i
\(761\) 2.25118e7i