Properties

Label 21.7.f.b.10.2
Level $21$
Weight $7$
Character 21.10
Analytic conductor $4.831$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 212 x^{6} - 787 x^{5} + 38792 x^{4} - 92833 x^{3} + 1563109 x^{2} + 3107772 x + 38787984\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 10.2
Root \(4.15432 + 7.19549i\) of defining polynomial
Character \(\chi\) \(=\) 21.10
Dual form 21.7.f.b.19.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.65432 - 8.06151i) q^{2} +(13.5000 + 7.79423i) q^{3} +(-11.3253 + 19.6160i) q^{4} +(151.343 - 87.3778i) q^{5} -145.107i q^{6} +(-271.614 - 209.463i) q^{7} -384.906 q^{8} +(121.500 + 210.444i) q^{9} +O(q^{10})\) \(q+(-4.65432 - 8.06151i) q^{2} +(13.5000 + 7.79423i) q^{3} +(-11.3253 + 19.6160i) q^{4} +(151.343 - 87.3778i) q^{5} -145.107i q^{6} +(-271.614 - 209.463i) q^{7} -384.906 q^{8} +(121.500 + 210.444i) q^{9} +(-1408.79 - 813.368i) q^{10} +(92.6996 - 160.560i) q^{11} +(-305.783 + 176.544i) q^{12} -3981.73i q^{13} +(-424.413 + 3164.53i) q^{14} +2724.17 q^{15} +(2516.29 + 4358.35i) q^{16} +(6101.23 + 3522.55i) q^{17} +(1131.00 - 1958.95i) q^{18} +(-4064.58 + 2346.69i) q^{19} +3958.32i q^{20} +(-2034.18 - 4944.78i) q^{21} -1725.81 q^{22} +(3322.00 + 5753.87i) q^{23} +(-5196.23 - 3000.05i) q^{24} +(7457.27 - 12916.4i) q^{25} +(-32098.8 + 18532.2i) q^{26} +3788.00i q^{27} +(7184.95 - 2955.75i) q^{28} +19385.8 q^{29} +(-12679.2 - 21960.9i) q^{30} +(20743.8 + 11976.4i) q^{31} +(11106.3 - 19236.6i) q^{32} +(2502.89 - 1445.04i) q^{33} -65580.2i q^{34} +(-59409.3 - 7967.73i) q^{35} -5504.10 q^{36} +(19784.8 + 34268.3i) q^{37} +(37835.7 + 21844.4i) q^{38} +(31034.5 - 53753.4i) q^{39} +(-58252.8 + 33632.3i) q^{40} +46285.6i q^{41} +(-30394.6 + 39413.1i) q^{42} -93128.7 q^{43} +(2099.70 + 3636.79i) q^{44} +(36776.3 + 21232.8i) q^{45} +(30923.2 - 53560.6i) q^{46} +(129449. - 74737.3i) q^{47} +78450.3i q^{48} +(29899.3 + 113786. i) q^{49} -138834. q^{50} +(54911.1 + 95108.8i) q^{51} +(78105.7 + 45094.4i) q^{52} +(50912.7 - 88183.4i) q^{53} +(30537.0 - 17630.5i) q^{54} -32399.5i q^{55} +(104546. + 80623.7i) q^{56} -73162.4 q^{57} +(-90227.5 - 156279. i) q^{58} +(131933. + 76171.6i) q^{59} +(-30852.1 + 53437.4i) q^{60} +(-145966. + 84273.5i) q^{61} -222968. i q^{62} +(11079.2 - 82609.4i) q^{63} +115317. q^{64} +(-347915. - 602606. i) q^{65} +(-23298.5 - 13451.4i) q^{66} +(-30552.0 + 52917.6i) q^{67} +(-138197. + 79787.9i) q^{68} +103570. i q^{69} +(212278. + 516013. i) q^{70} -485262. q^{71} +(-46766.1 - 81001.2i) q^{72} +(-7732.72 - 4464.49i) q^{73} +(184170. - 318991. i) q^{74} +(201346. - 116247. i) q^{75} -106308. i q^{76} +(-58810.0 + 24193.3i) q^{77} -577778. q^{78} +(-221938. - 384409. i) q^{79} +(761646. + 439737. i) q^{80} +(-29524.5 + 51137.9i) q^{81} +(373132. - 215428. i) q^{82} +559383. i q^{83} +(120035. + 16098.5i) q^{84} +1.23117e6 q^{85} +(433450. + 750758. i) q^{86} +(261708. + 151097. i) q^{87} +(-35680.6 + 61800.7i) q^{88} +(-179055. + 103378. i) q^{89} -395297. i q^{90} +(-834026. + 1.08149e6i) q^{91} -150491. q^{92} +(186694. + 323364. i) q^{93} +(-1.20499e6 - 695702. i) q^{94} +(-410097. + 710308. i) q^{95} +(299869. - 173130. i) q^{96} -1.23197e6i q^{97} +(778129. - 770631. i) q^{98} +45052.0 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 5q^{2} + 108q^{3} - 173q^{4} - 42q^{5} + 748q^{7} - 454q^{8} + 972q^{9} + O(q^{10}) \) \( 8q - 5q^{2} + 108q^{3} - 173q^{4} - 42q^{5} + 748q^{7} - 454q^{8} + 972q^{9} + 261q^{10} - 1070q^{11} - 4671q^{12} + 6070q^{14} - 756q^{15} + 3911q^{16} + 7212q^{17} + 1215q^{18} - 24606q^{19} + 8154q^{21} - 78q^{22} - 15224q^{23} - 6129q^{24} + 22274q^{25} - 19044q^{26} - 3415q^{28} + 32524q^{29} + 2349q^{30} + 40200q^{31} + 70203q^{32} - 28890q^{33} - 242436q^{35} - 84078q^{36} - 45670q^{37} + 503310q^{38} + 93366q^{39} - 94941q^{40} + 55161q^{42} - 445660q^{43} - 188829q^{44} - 10206q^{45} + 525804q^{46} + 82884q^{47} + 24116q^{49} - 1218884q^{50} + 64908q^{51} + 722856q^{52} - 13034q^{53} + 32805q^{54} + 127061q^{56} - 442908q^{57} - 159501q^{58} + 1810362q^{59} + 429705q^{60} - 392856q^{61} + 38394q^{63} - 1410446q^{64} - 389004q^{65} - 1053q^{66} + 384094q^{67} - 1616346q^{68} + 406005q^{70} + 225688q^{71} - 55161q^{72} + 903078q^{73} + 1185530q^{74} + 601398q^{75} - 327674q^{77} - 342792q^{78} - 559592q^{79} + 847713q^{80} - 236196q^{81} + 347634q^{82} - 879444q^{84} + 1953576q^{85} - 2302402q^{86} + 439074q^{87} + 304887q^{88} - 1770036q^{89} - 2960718q^{91} - 113064q^{92} + 361800q^{93} - 1837620q^{94} + 1160112q^{95} + 1895481q^{96} + 5732467q^{98} - 520020q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.65432 8.06151i −0.581789 1.00769i −0.995267 0.0971748i \(-0.969019\pi\)
0.413478 0.910514i \(-0.364314\pi\)
\(3\) 13.5000 + 7.79423i 0.500000 + 0.288675i
\(4\) −11.3253 + 19.6160i −0.176958 + 0.306500i
\(5\) 151.343 87.3778i 1.21074 0.699023i 0.247821 0.968806i \(-0.420285\pi\)
0.962921 + 0.269783i \(0.0869520\pi\)
\(6\) 145.107i 0.671793i
\(7\) −271.614 209.463i −0.791877 0.610680i
\(8\) −384.906 −0.751770
\(9\) 121.500 + 210.444i 0.166667 + 0.288675i
\(10\) −1408.79 813.368i −1.40879 0.813368i
\(11\) 92.6996 160.560i 0.0696466 0.120631i −0.829099 0.559102i \(-0.811146\pi\)
0.898746 + 0.438470i \(0.144480\pi\)
\(12\) −305.783 + 176.544i −0.176958 + 0.102167i
\(13\) 3981.73i 1.81235i −0.422904 0.906174i \(-0.638989\pi\)
0.422904 0.906174i \(-0.361011\pi\)
\(14\) −424.413 + 3164.53i −0.154670 + 1.15325i
\(15\) 2724.17 0.807162
\(16\) 2516.29 + 4358.35i 0.614330 + 1.06405i
\(17\) 6101.23 + 3522.55i 1.24185 + 0.716985i 0.969471 0.245204i \(-0.0788550\pi\)
0.272383 + 0.962189i \(0.412188\pi\)
\(18\) 1131.00 1958.95i 0.193930 0.335896i
\(19\) −4064.58 + 2346.69i −0.592591 + 0.342132i −0.766121 0.642696i \(-0.777816\pi\)
0.173531 + 0.984828i \(0.444482\pi\)
\(20\) 3958.32i 0.494791i
\(21\) −2034.18 4944.78i −0.219651 0.533935i
\(22\) −1725.81 −0.162079
\(23\) 3322.00 + 5753.87i 0.273033 + 0.472908i 0.969637 0.244549i \(-0.0786398\pi\)
−0.696604 + 0.717456i \(0.745306\pi\)
\(24\) −5196.23 3000.05i −0.375885 0.217017i
\(25\) 7457.27 12916.4i 0.477265 0.826647i
\(26\) −32098.8 + 18532.2i −1.82628 + 1.05441i
\(27\) 3788.00i 0.192450i
\(28\) 7184.95 2955.75i 0.327303 0.134646i
\(29\) 19385.8 0.794857 0.397429 0.917633i \(-0.369903\pi\)
0.397429 + 0.917633i \(0.369903\pi\)
\(30\) −12679.2 21960.9i −0.469598 0.813368i
\(31\) 20743.8 + 11976.4i 0.696311 + 0.402015i 0.805972 0.591954i \(-0.201643\pi\)
−0.109661 + 0.993969i \(0.534977\pi\)
\(32\) 11106.3 19236.6i 0.338936 0.587055i
\(33\) 2502.89 1445.04i 0.0696466 0.0402105i
\(34\) 65580.2i 1.66854i
\(35\) −59409.3 7967.73i −1.38564 0.185836i
\(36\) −5504.10 −0.117972
\(37\) 19784.8 + 34268.3i 0.390595 + 0.676531i 0.992528 0.122016i \(-0.0389359\pi\)
−0.601933 + 0.798547i \(0.705603\pi\)
\(38\) 37835.7 + 21844.4i 0.689526 + 0.398098i
\(39\) 31034.5 53753.4i 0.523180 0.906174i
\(40\) −58252.8 + 33632.3i −0.910200 + 0.525504i
\(41\) 46285.6i 0.671575i 0.941938 + 0.335787i \(0.109002\pi\)
−0.941938 + 0.335787i \(0.890998\pi\)
\(42\) −30394.6 + 39413.1i −0.410250 + 0.531977i
\(43\) −93128.7 −1.17133 −0.585664 0.810554i \(-0.699166\pi\)
−0.585664 + 0.810554i \(0.699166\pi\)
\(44\) 2099.70 + 3636.79i 0.0246490 + 0.0426934i
\(45\) 36776.3 + 21232.8i 0.403581 + 0.233008i
\(46\) 30923.2 53560.6i 0.317696 0.550265i
\(47\) 129449. 74737.3i 1.24682 0.719853i 0.276347 0.961058i \(-0.410876\pi\)
0.970474 + 0.241205i \(0.0775427\pi\)
\(48\) 78450.3i 0.709367i
\(49\) 29899.3 + 113786.i 0.254140 + 0.967168i
\(50\) −138834. −1.11067
\(51\) 54911.1 + 95108.8i 0.413951 + 0.716985i
\(52\) 78105.7 + 45094.4i 0.555486 + 0.320710i
\(53\) 50912.7 88183.4i 0.341978 0.592324i −0.642822 0.766016i \(-0.722236\pi\)
0.984800 + 0.173692i \(0.0555698\pi\)
\(54\) 30537.0 17630.5i 0.193930 0.111965i
\(55\) 32399.5i 0.194738i
\(56\) 104546. + 80623.7i 0.595309 + 0.459091i
\(57\) −73162.4 −0.395060
\(58\) −90227.5 156279.i −0.462440 0.800969i
\(59\) 131933. + 76171.6i 0.642388 + 0.370883i 0.785534 0.618819i \(-0.212388\pi\)
−0.143146 + 0.989702i \(0.545722\pi\)
\(60\) −30852.1 + 53437.4i −0.142834 + 0.247395i
\(61\) −145966. + 84273.5i −0.643076 + 0.371280i −0.785798 0.618483i \(-0.787748\pi\)
0.142723 + 0.989763i \(0.454414\pi\)
\(62\) 222968.i 0.935553i
\(63\) 11079.2 82609.4i 0.0443086 0.330375i
\(64\) 115317. 0.439901
\(65\) −347915. 602606.i −1.26687 2.19429i
\(66\) −23298.5 13451.4i −0.0810393 0.0467880i
\(67\) −30552.0 + 52917.6i −0.101582 + 0.175944i −0.912336 0.409441i \(-0.865724\pi\)
0.810755 + 0.585386i \(0.199057\pi\)
\(68\) −138197. + 79787.9i −0.439512 + 0.253752i
\(69\) 103570.i 0.315272i
\(70\) 212278. + 516013.i 0.618885 + 1.50441i
\(71\) −485262. −1.35582 −0.677909 0.735146i \(-0.737114\pi\)
−0.677909 + 0.735146i \(0.737114\pi\)
\(72\) −46766.1 81001.2i −0.125295 0.217017i
\(73\) −7732.72 4464.49i −0.0198776 0.0114763i 0.490028 0.871707i \(-0.336986\pi\)
−0.509906 + 0.860230i \(0.670320\pi\)
\(74\) 184170. 318991.i 0.454488 0.787197i
\(75\) 201346. 116247.i 0.477265 0.275549i
\(76\) 106308.i 0.242172i
\(77\) −58810.0 + 24193.3i −0.128819 + 0.0529935i
\(78\) −577778. −1.21752
\(79\) −221938. 384409.i −0.450144 0.779672i 0.548251 0.836314i \(-0.315294\pi\)
−0.998395 + 0.0566422i \(0.981961\pi\)
\(80\) 761646. + 439737.i 1.48759 + 0.858861i
\(81\) −29524.5 + 51137.9i −0.0555556 + 0.0962250i
\(82\) 373132. 215428.i 0.676738 0.390715i
\(83\) 559383.i 0.978306i 0.872198 + 0.489153i \(0.162694\pi\)
−0.872198 + 0.489153i \(0.837306\pi\)
\(84\) 120035. + 16098.5i 0.202520 + 0.0271612i
\(85\) 1.23117e6 2.00475
\(86\) 433450. + 750758.i 0.681466 + 1.18033i
\(87\) 261708. + 151097.i 0.397429 + 0.229456i
\(88\) −35680.6 + 61800.7i −0.0523582 + 0.0906870i
\(89\) −179055. + 103378.i −0.253990 + 0.146641i −0.621590 0.783343i \(-0.713513\pi\)
0.367600 + 0.929984i \(0.380180\pi\)
\(90\) 395297.i 0.542245i
\(91\) −834026. + 1.08149e6i −1.10677 + 1.43516i
\(92\) −150491. −0.193262
\(93\) 186694. + 323364.i 0.232104 + 0.402015i
\(94\) −1.20499e6 695702.i −1.45078 0.837605i
\(95\) −410097. + 710308.i −0.478316 + 0.828468i
\(96\) 299869. 173130.i 0.338936 0.195685i
\(97\) 1.23197e6i 1.34984i −0.737889 0.674922i \(-0.764177\pi\)
0.737889 0.674922i \(-0.235823\pi\)
\(98\) 778129. 770631.i 0.826748 0.818782i
\(99\) 45052.0 0.0464310
\(100\) 168912. + 292564.i 0.168912 + 0.292564i
\(101\) −776728. 448444.i −0.753884 0.435255i 0.0732114 0.997316i \(-0.476675\pi\)
−0.827096 + 0.562061i \(0.810009\pi\)
\(102\) 511147. 885332.i 0.481665 0.834268i
\(103\) −1.15489e6 + 666775.i −1.05689 + 0.610194i −0.924569 0.381014i \(-0.875575\pi\)
−0.132317 + 0.991207i \(0.542242\pi\)
\(104\) 1.53259e6i 1.36247i
\(105\) −739923. 570614.i −0.639173 0.492918i
\(106\) −947855. −0.795837
\(107\) 50509.0 + 87484.1i 0.0412304 + 0.0714131i 0.885904 0.463868i \(-0.153539\pi\)
−0.844674 + 0.535281i \(0.820206\pi\)
\(108\) −74305.4 42900.2i −0.0589860 0.0340556i
\(109\) 976298. 1.69100e6i 0.753881 1.30576i −0.192047 0.981386i \(-0.561513\pi\)
0.945928 0.324375i \(-0.105154\pi\)
\(110\) −261189. + 150798.i −0.196235 + 0.113297i
\(111\) 616829.i 0.451020i
\(112\) 229454. 1.71086e6i 0.163321 1.21776i
\(113\) 1.13981e6 0.789945 0.394972 0.918693i \(-0.370754\pi\)
0.394972 + 0.918693i \(0.370754\pi\)
\(114\) 340521. + 589800.i 0.229842 + 0.398098i
\(115\) 1.00552e6 + 580537.i 0.661146 + 0.381713i
\(116\) −219550. + 380272.i −0.140656 + 0.243624i
\(117\) 837932. 483780.i 0.523180 0.302058i
\(118\) 1.41811e6i 0.863104i
\(119\) −919335. 2.23476e6i −0.545548 1.32614i
\(120\) −1.04855e6 −0.606800
\(121\) 868594. + 1.50445e6i 0.490299 + 0.849222i
\(122\) 1.35874e6 + 784471.i 0.748269 + 0.432014i
\(123\) −360760. + 624855.i −0.193867 + 0.335787i
\(124\) −469860. + 271274.i −0.246436 + 0.142280i
\(125\) 124158.i 0.0635691i
\(126\) −717523. + 295175.i −0.358694 + 0.147560i
\(127\) 3.37006e6 1.64523 0.822614 0.568600i \(-0.192515\pi\)
0.822614 + 0.568600i \(0.192515\pi\)
\(128\) −1.24752e6 2.16078e6i −0.594866 1.03034i
\(129\) −1.25724e6 725867.i −0.585664 0.338133i
\(130\) −3.23861e6 + 5.60944e6i −1.47411 + 2.55323i
\(131\) −2.59143e6 + 1.49616e6i −1.15273 + 0.665527i −0.949550 0.313616i \(-0.898460\pi\)
−0.203176 + 0.979142i \(0.565126\pi\)
\(132\) 65462.3i 0.0284623i
\(133\) 1.59554e6 + 213987.i 0.678192 + 0.0909564i
\(134\) 568794. 0.236396
\(135\) 330987. + 573286.i 0.134527 + 0.233008i
\(136\) −2.34840e6 1.35585e6i −0.933588 0.539007i
\(137\) 1.27232e6 2.20372e6i 0.494804 0.857026i −0.505178 0.863015i \(-0.668573\pi\)
0.999982 + 0.00598920i \(0.00190643\pi\)
\(138\) 834927. 482046.i 0.317696 0.183422i
\(139\) 1.61651e6i 0.601913i 0.953638 + 0.300956i \(0.0973059\pi\)
−0.953638 + 0.300956i \(0.902694\pi\)
\(140\) 829124. 1.07514e6i 0.302159 0.391814i
\(141\) 2.33008e6 0.831214
\(142\) 2.25856e6 + 3.91195e6i 0.788801 + 1.36624i
\(143\) −639308. 369105.i −0.218626 0.126224i
\(144\) −611460. + 1.05908e6i −0.204777 + 0.354683i
\(145\) 2.93390e6 1.69389e6i 0.962368 0.555623i
\(146\) 83116.6i 0.0267072i
\(147\) −483236. + 1.76916e6i −0.152127 + 0.556948i
\(148\) −896277. −0.276476
\(149\) −570326. 987833.i −0.172411 0.298624i 0.766851 0.641825i \(-0.221822\pi\)
−0.939262 + 0.343201i \(0.888489\pi\)
\(150\) −1.87426e6 1.08210e6i −0.555336 0.320623i
\(151\) 218027. 377635.i 0.0633258 0.109683i −0.832624 0.553838i \(-0.813163\pi\)
0.895950 + 0.444155i \(0.146496\pi\)
\(152\) 1.56448e6 903254.i 0.445492 0.257205i
\(153\) 1.71196e6i 0.477990i
\(154\) 468755. + 361494.i 0.128346 + 0.0989781i
\(155\) 4.18590e6 1.12407
\(156\) 702951. + 1.21755e6i 0.185162 + 0.320710i
\(157\) −4.62942e6 2.67280e6i −1.19627 0.690664i −0.236545 0.971621i \(-0.576015\pi\)
−0.959721 + 0.280956i \(0.909348\pi\)
\(158\) −2.06594e6 + 3.57832e6i −0.523778 + 0.907210i
\(159\) 1.37464e6 793650.i 0.341978 0.197441i
\(160\) 3.88177e6i 0.947697i
\(161\) 302923. 2.25867e6i 0.0725863 0.541221i
\(162\) 549665. 0.129287
\(163\) −835252. 1.44670e6i −0.192866 0.334053i 0.753333 0.657639i \(-0.228445\pi\)
−0.946199 + 0.323586i \(0.895111\pi\)
\(164\) −907939. 524199.i −0.205838 0.118841i
\(165\) 252529. 437394.i 0.0562160 0.0973690i
\(166\) 4.50947e6 2.60354e6i 0.985829 0.569168i
\(167\) 144090.i 0.0309375i 0.999880 + 0.0154687i \(0.00492405\pi\)
−0.999880 + 0.0154687i \(0.995076\pi\)
\(168\) 782970. + 1.90327e6i 0.165127 + 0.401396i
\(169\) −1.10274e7 −2.28461
\(170\) −5.73025e6 9.92509e6i −1.16634 2.02017i
\(171\) −987693. 570245.i −0.197530 0.114044i
\(172\) 1.05471e6 1.82681e6i 0.207276 0.359012i
\(173\) −1.52276e6 + 879168.i −0.294100 + 0.169798i −0.639789 0.768550i \(-0.720978\pi\)
0.345690 + 0.938349i \(0.387645\pi\)
\(174\) 2.81302e6i 0.533979i
\(175\) −4.73100e6 + 1.94624e6i −0.882752 + 0.363147i
\(176\) 933038. 0.171144
\(177\) 1.18740e6 + 2.05663e6i 0.214129 + 0.370883i
\(178\) 1.66676e6 + 962304.i 0.295538 + 0.170629i
\(179\) −4.99233e6 + 8.64696e6i −0.870450 + 1.50766i −0.00891827 + 0.999960i \(0.502839\pi\)
−0.861532 + 0.507704i \(0.830495\pi\)
\(180\) −833006. + 480936.i −0.142834 + 0.0824651i
\(181\) 7.80413e6i 1.31610i 0.752974 + 0.658050i \(0.228618\pi\)
−0.752974 + 0.658050i \(0.771382\pi\)
\(182\) 1.26003e7 + 1.68990e6i 2.09010 + 0.280315i
\(183\) −2.62739e6 −0.428717
\(184\) −1.27866e6 2.21470e6i −0.205258 0.355518i
\(185\) 5.98858e6 + 3.45751e6i 0.945820 + 0.546070i
\(186\) 1.73787e6 3.01007e6i 0.270071 0.467776i
\(187\) 1.13116e6 653077.i 0.172982 0.0998710i
\(188\) 3.38569e6i 0.509535i
\(189\) 793446. 1.02887e6i 0.117525 0.152397i
\(190\) 7.63488e6 1.11312
\(191\) 255812. + 443079.i 0.0367130 + 0.0635888i 0.883798 0.467869i \(-0.154978\pi\)
−0.847085 + 0.531457i \(0.821645\pi\)
\(192\) 1.55679e6 + 898810.i 0.219951 + 0.126989i
\(193\) 4.35329e6 7.54012e6i 0.605544 1.04883i −0.386421 0.922322i \(-0.626289\pi\)
0.991965 0.126511i \(-0.0403778\pi\)
\(194\) −9.93151e6 + 5.73396e6i −1.36022 + 0.785325i
\(195\) 1.08469e7i 1.46286i
\(196\) −2.57065e6 702161.i −0.341409 0.0932542i
\(197\) 4.44972e6 0.582015 0.291007 0.956721i \(-0.406010\pi\)
0.291007 + 0.956721i \(0.406010\pi\)
\(198\) −209686. 363187.i −0.0270131 0.0467880i
\(199\) 6.16428e6 + 3.55895e6i 0.782210 + 0.451609i 0.837213 0.546877i \(-0.184184\pi\)
−0.0550030 + 0.998486i \(0.517517\pi\)
\(200\) −2.87035e6 + 4.97159e6i −0.358793 + 0.621448i
\(201\) −824903. + 476258.i −0.101582 + 0.0586482i
\(202\) 8.34880e6i 1.01291i
\(203\) −5.26545e6 4.06061e6i −0.629430 0.485404i
\(204\) −2.48754e6 −0.293008
\(205\) 4.04433e6 + 7.00499e6i 0.469446 + 0.813104i
\(206\) 1.07504e7 + 6.20676e6i 1.22977 + 0.710008i
\(207\) −807245. + 1.39819e6i −0.0910111 + 0.157636i
\(208\) 1.73538e7 1.00192e7i 1.92843 1.11338i
\(209\) 870147.i 0.0953134i
\(210\) −1.15617e6 + 8.62071e6i −0.124843 + 0.930862i
\(211\) −1.12917e7 −1.20203 −0.601013 0.799239i \(-0.705236\pi\)
−0.601013 + 0.799239i \(0.705236\pi\)
\(212\) 1.15320e6 + 1.99741e6i 0.121032 + 0.209633i
\(213\) −6.55104e6 3.78225e6i −0.677909 0.391391i
\(214\) 470169. 814357.i 0.0479748 0.0830948i
\(215\) −1.40944e7 + 8.13738e6i −1.41818 + 0.818784i
\(216\) 1.45802e6i 0.144678i
\(217\) −3.12568e6 7.59803e6i −0.305890 0.743570i
\(218\) −1.81760e7 −1.75440
\(219\) −69594.5 120541.i −0.00662586 0.0114763i
\(220\) 635550. + 366935.i 0.0596873 + 0.0344605i
\(221\) 1.40258e7 2.42935e7i 1.29943 2.25067i
\(222\) 4.97258e6 2.87092e6i 0.454488 0.262399i
\(223\) 1.12380e6i 0.101338i 0.998715 + 0.0506692i \(0.0161354\pi\)
−0.998715 + 0.0506692i \(0.983865\pi\)
\(224\) −7.04598e6 + 2.89858e6i −0.626899 + 0.257894i
\(225\) 3.62423e6 0.318177
\(226\) −5.30503e6 9.18858e6i −0.459581 0.796018i
\(227\) 8.63563e6 + 4.98578e6i 0.738272 + 0.426241i 0.821441 0.570294i \(-0.193171\pi\)
−0.0831688 + 0.996535i \(0.526504\pi\)
\(228\) 828587. 1.43516e6i 0.0699091 0.121086i
\(229\) −1.69249e7 + 9.77161e6i −1.40936 + 0.813692i −0.995326 0.0965721i \(-0.969212\pi\)
−0.414029 + 0.910264i \(0.635879\pi\)
\(230\) 1.08080e7i 0.888306i
\(231\) −982503. 131769.i −0.0797073 0.0106900i
\(232\) −7.46170e6 −0.597550
\(233\) 1.60120e6 + 2.77335e6i 0.126583 + 0.219249i 0.922351 0.386354i \(-0.126266\pi\)
−0.795767 + 0.605602i \(0.792932\pi\)
\(234\) −7.80000e6 4.50333e6i −0.608761 0.351469i
\(235\) 1.30608e7 2.26219e7i 1.00639 1.74311i
\(236\) −2.98837e6 + 1.72533e6i −0.227352 + 0.131261i
\(237\) 6.91935e6i 0.519781i
\(238\) −1.37366e7 + 1.78125e7i −1.01894 + 1.32128i
\(239\) 1.42350e7 1.04271 0.521355 0.853340i \(-0.325427\pi\)
0.521355 + 0.853340i \(0.325427\pi\)
\(240\) 6.85482e6 + 1.18729e7i 0.495863 + 0.858861i
\(241\) −4.38064e6 2.52916e6i −0.312958 0.180686i 0.335291 0.942115i \(-0.391165\pi\)
−0.648249 + 0.761428i \(0.724499\pi\)
\(242\) 8.08542e6 1.40044e7i 0.570501 0.988137i
\(243\) −797162. + 460241.i −0.0555556 + 0.0320750i
\(244\) 3.81770e6i 0.262804i
\(245\) 1.44674e7 + 1.46082e7i 0.983770 + 0.993342i
\(246\) 6.71637e6 0.451159
\(247\) 9.34387e6 + 1.61841e7i 0.620063 + 1.07398i
\(248\) −7.98441e6 4.60980e6i −0.523465 0.302223i
\(249\) −4.35996e6 + 7.55167e6i −0.282413 + 0.489153i
\(250\) 1.00091e6 577873.i 0.0640579 0.0369839i
\(251\) 1.09278e7i 0.691050i −0.938409 0.345525i \(-0.887701\pi\)
0.938409 0.345525i \(-0.112299\pi\)
\(252\) 1.49499e6 + 1.15291e6i 0.0934194 + 0.0720432i
\(253\) 1.23179e6 0.0760633
\(254\) −1.56853e7 2.71678e7i −0.957176 1.65788i
\(255\) 1.66208e7 + 9.59602e6i 1.00238 + 0.578723i
\(256\) −7.92259e6 + 1.37223e7i −0.472223 + 0.817915i
\(257\) −8.37770e6 + 4.83687e6i −0.493543 + 0.284947i −0.726043 0.687649i \(-0.758643\pi\)
0.232500 + 0.972596i \(0.425309\pi\)
\(258\) 1.35136e7i 0.786889i
\(259\) 1.80412e6 1.34519e7i 0.103840 0.774258i
\(260\) 1.57610e7 0.896733
\(261\) 2.35537e6 + 4.07962e6i 0.132476 + 0.229456i
\(262\) 2.41227e7 + 1.39272e7i 1.34129 + 0.774393i
\(263\) −1.17936e7 + 2.04272e7i −0.648307 + 1.12290i 0.335220 + 0.942140i \(0.391189\pi\)
−0.983527 + 0.180760i \(0.942144\pi\)
\(264\) −963377. + 556206.i −0.0523582 + 0.0302290i
\(265\) 1.77946e7i 0.956202i
\(266\) −5.70109e6 1.38584e7i −0.302910 0.736325i
\(267\) −3.22300e6 −0.169327
\(268\) −692022. 1.19862e6i −0.0359514 0.0622696i
\(269\) 1.03935e7 + 6.00069e6i 0.533956 + 0.308280i 0.742626 0.669707i \(-0.233580\pi\)
−0.208670 + 0.977986i \(0.566913\pi\)
\(270\) 3.08103e6 5.33651e6i 0.156533 0.271123i
\(271\) −3.37870e6 + 1.95070e6i −0.169763 + 0.0980125i −0.582474 0.812849i \(-0.697915\pi\)
0.412711 + 0.910862i \(0.364582\pi\)
\(272\) 3.54551e7i 1.76186i
\(273\) −1.96888e7 + 8.09957e6i −0.967677 + 0.398083i
\(274\) −2.36870e7 −1.15149
\(275\) −1.38257e6 2.39468e6i −0.0664797 0.115146i
\(276\) −2.03162e6 1.17296e6i −0.0966309 0.0557899i
\(277\) −1.06268e7 + 1.84062e7i −0.499992 + 0.866012i −1.00000 9.05599e-6i \(-0.999997\pi\)
0.500008 + 0.866021i \(0.333330\pi\)
\(278\) 1.30315e7 7.52374e6i 0.606541 0.350187i
\(279\) 5.82055e6i 0.268010i
\(280\) 2.28670e7 + 3.06683e6i 1.04168 + 0.139706i
\(281\) −1.01968e7 −0.459561 −0.229781 0.973242i \(-0.573801\pi\)
−0.229781 + 0.973242i \(0.573801\pi\)
\(282\) −1.08449e7 1.87839e7i −0.483592 0.837605i
\(283\) −3.34021e6 1.92847e6i −0.147372 0.0850851i 0.424501 0.905427i \(-0.360450\pi\)
−0.571873 + 0.820342i \(0.693783\pi\)
\(284\) 5.49575e6 9.51892e6i 0.239923 0.415559i
\(285\) −1.10726e7 + 6.39277e6i −0.478316 + 0.276156i
\(286\) 6.87172e6i 0.293743i
\(287\) 9.69513e6 1.25718e7i 0.410117 0.531805i
\(288\) 5.39765e6 0.225958
\(289\) 1.27479e7 + 2.20800e7i 0.528134 + 0.914756i
\(290\) −2.73106e7 1.57678e7i −1.11979 0.646511i
\(291\) 9.60222e6 1.66315e7i 0.389666 0.674922i
\(292\) 175151. 101123.i 0.00703500 0.00406166i
\(293\) 2.88091e7i 1.14532i −0.819793 0.572660i \(-0.805911\pi\)
0.819793 0.572660i \(-0.194089\pi\)
\(294\) 1.65112e7 4.33860e6i 0.649736 0.170729i
\(295\) 2.66228e7 1.03702
\(296\) −7.61530e6 1.31901e7i −0.293638 0.508595i
\(297\) 608202. + 351145.i 0.0232155 + 0.0134035i
\(298\) −5.30895e6 + 9.19538e6i −0.200613 + 0.347473i
\(299\) 2.29103e7 1.32273e7i 0.857073 0.494832i
\(300\) 5.26615e6i 0.195042i
\(301\) 2.52951e7 + 1.95070e7i 0.927548 + 0.715306i
\(302\) −4.05907e6 −0.147369
\(303\) −6.99055e6 1.21080e7i −0.251295 0.435255i
\(304\) −2.04554e7 1.18099e7i −0.728092 0.420364i
\(305\) −1.47273e7 + 2.55084e7i −0.519066 + 0.899049i
\(306\) 1.38010e7 7.96799e6i 0.481665 0.278089i
\(307\) 2.70175e7i 0.933747i −0.884324 0.466874i \(-0.845380\pi\)
0.884324 0.466874i \(-0.154620\pi\)
\(308\) 191466. 1.42761e6i 0.00655298 0.0488606i
\(309\) −2.07880e7 −0.704591
\(310\) −1.94825e7 3.37447e7i −0.653972 1.13271i
\(311\) −4.85470e6 2.80286e6i −0.161392 0.0931795i 0.417129 0.908847i \(-0.363036\pi\)
−0.578520 + 0.815668i \(0.696370\pi\)
\(312\) −1.19454e7 + 2.06900e7i −0.393311 + 0.681235i
\(313\) 2.49380e7 1.43979e7i 0.813257 0.469534i −0.0348283 0.999393i \(-0.511088\pi\)
0.848086 + 0.529859i \(0.177755\pi\)
\(314\) 4.97602e7i 1.60728i
\(315\) −5.54146e6 1.34704e7i −0.177294 0.430972i
\(316\) 1.00541e7 0.318626
\(317\) 1.82746e7 + 3.16525e7i 0.573679 + 0.993641i 0.996184 + 0.0872807i \(0.0278177\pi\)
−0.422505 + 0.906361i \(0.638849\pi\)
\(318\) −1.27960e7 7.38780e6i −0.397919 0.229738i
\(319\) 1.79705e6 3.11259e6i 0.0553591 0.0958847i
\(320\) 1.74525e7 1.00762e7i 0.532607 0.307501i
\(321\) 1.57471e6i 0.0476087i
\(322\) −1.96182e7 + 8.07053e6i −0.587612 + 0.241732i
\(323\) −3.30652e7 −0.981215
\(324\) −668748. 1.15831e6i −0.0196620 0.0340556i
\(325\) −5.14295e7 2.96928e7i −1.49817 0.864971i
\(326\) −7.77505e6 + 1.34668e7i −0.224414 + 0.388697i
\(327\) 2.63601e7 1.52190e7i 0.753881 0.435254i
\(328\) 1.78156e7i 0.504869i
\(329\) −5.08148e7 6.81507e6i −1.42693 0.191374i
\(330\) −4.70141e6 −0.130824
\(331\) −1.16042e7 2.00991e7i −0.319987 0.554234i 0.660498 0.750828i \(-0.270345\pi\)
−0.980485 + 0.196594i \(0.937012\pi\)
\(332\) −1.09729e7 6.33519e6i −0.299851 0.173119i
\(333\) −4.80771e6 + 8.32720e6i −0.130198 + 0.225510i
\(334\) 1.16158e6 670641.i 0.0311753 0.0179991i
\(335\) 1.06783e7i 0.284031i
\(336\) 1.64325e7 2.13082e7i 0.433196 0.561732i
\(337\) 2.11044e7 0.551421 0.275710 0.961241i \(-0.411087\pi\)
0.275710 + 0.961241i \(0.411087\pi\)
\(338\) 5.13249e7 + 8.88973e7i 1.32916 + 2.30218i
\(339\) 1.53874e7 + 8.88393e6i 0.394972 + 0.228037i
\(340\) −1.39434e7 + 2.41506e7i −0.354757 + 0.614458i
\(341\) 3.84588e6 2.22042e6i 0.0969913 0.0559979i
\(342\) 1.06164e7i 0.265399i
\(343\) 1.57130e7 3.71687e7i 0.389383 0.921076i
\(344\) 3.58458e7 0.880568
\(345\) 9.04968e6 + 1.56745e7i 0.220382 + 0.381713i
\(346\) 1.41749e7 + 8.18385e6i 0.342208 + 0.197574i
\(347\) 403396. 698702.i 0.00965479 0.0167226i −0.861158 0.508338i \(-0.830260\pi\)
0.870812 + 0.491615i \(0.163593\pi\)
\(348\) −5.92785e6 + 3.42245e6i −0.140656 + 0.0812080i
\(349\) 6.98266e7i 1.64265i 0.570462 + 0.821324i \(0.306764\pi\)
−0.570462 + 0.821324i \(0.693236\pi\)
\(350\) 3.77092e7 + 2.90806e7i 0.879515 + 0.678265i
\(351\) 1.50828e7 0.348787
\(352\) −2.05909e6 3.56645e6i −0.0472115 0.0817727i
\(353\) 2.32047e7 + 1.33972e7i 0.527535 + 0.304572i 0.740012 0.672594i \(-0.234820\pi\)
−0.212477 + 0.977166i \(0.568153\pi\)
\(354\) 1.10530e7 1.91444e7i 0.249157 0.431552i
\(355\) −7.34410e7 + 4.24012e7i −1.64155 + 0.947748i
\(356\) 4.68314e6i 0.103797i
\(357\) 5.00718e6 3.73347e7i 0.110050 0.820556i
\(358\) 9.29435e7 2.02567
\(359\) −1.28065e7 2.21815e7i −0.276787 0.479410i 0.693797 0.720171i \(-0.255936\pi\)
−0.970585 + 0.240761i \(0.922603\pi\)
\(360\) −1.41554e7 8.17264e6i −0.303400 0.175168i
\(361\) −1.25091e7 + 2.16664e7i −0.265891 + 0.460537i
\(362\) 6.29131e7 3.63229e7i 1.32622 0.765693i
\(363\) 2.70801e7i 0.566148i
\(364\) −1.17690e7 2.86085e7i −0.244025 0.593187i
\(365\) −1.56039e6 −0.0320889
\(366\) 1.22287e7 + 2.11807e7i 0.249423 + 0.432014i
\(367\) −2.41602e7 1.39489e7i −0.488767 0.282190i 0.235296 0.971924i \(-0.424394\pi\)
−0.724063 + 0.689734i \(0.757727\pi\)
\(368\) −1.67182e7 + 2.89568e7i −0.335465 + 0.581042i
\(369\) −9.74053e6 + 5.62370e6i −0.193867 + 0.111929i
\(370\) 6.43693e7i 1.27079i
\(371\) −3.22998e7 + 1.32875e7i −0.632525 + 0.260208i
\(372\) −8.45748e6 −0.164290
\(373\) −1.11791e7 1.93627e7i −0.215416 0.373112i 0.737985 0.674817i \(-0.235778\pi\)
−0.953401 + 0.301705i \(0.902444\pi\)
\(374\) −1.05296e7 6.07925e6i −0.201278 0.116208i
\(375\) −967720. + 1.67614e6i −0.0183508 + 0.0317846i
\(376\) −4.98256e7 + 2.87668e7i −0.937322 + 0.541163i
\(377\) 7.71889e7i 1.44056i
\(378\) −1.19872e7 1.60768e6i −0.221944 0.0297662i
\(379\) 5.91089e7 1.08576 0.542882 0.839809i \(-0.317333\pi\)
0.542882 + 0.839809i \(0.317333\pi\)
\(380\) −9.28894e6 1.60889e7i −0.169284 0.293208i
\(381\) 4.54958e7 + 2.62670e7i 0.822614 + 0.474936i
\(382\) 2.38126e6 4.12446e6i 0.0427185 0.0739906i
\(383\) −3.98770e7 + 2.30230e7i −0.709785 + 0.409794i −0.810981 0.585072i \(-0.801066\pi\)
0.101197 + 0.994866i \(0.467733\pi\)
\(384\) 3.88940e7i 0.686892i
\(385\) −6.78651e6 + 8.80017e6i −0.118923 + 0.154209i
\(386\) −8.10464e7 −1.40920
\(387\) −1.13151e7 1.95984e7i −0.195221 0.338133i
\(388\) 2.41663e7 + 1.39524e7i 0.413728 + 0.238866i
\(389\) 2.16981e7 3.75821e7i 0.368614 0.638458i −0.620735 0.784020i \(-0.713166\pi\)
0.989349 + 0.145562i \(0.0464991\pi\)
\(390\) −8.74425e7 + 5.04850e7i −1.47411 + 0.851076i
\(391\) 4.68075e7i 0.783043i
\(392\) −1.15084e7 4.37970e7i −0.191054 0.727087i
\(393\) −4.66458e7 −0.768484
\(394\) −2.07104e7 3.58715e7i −0.338610 0.586490i
\(395\) −6.71776e7 3.87850e7i −1.09002 0.629321i
\(396\) −510228. + 883741.i −0.00821634 + 0.0142311i
\(397\) −3.39493e7 + 1.96007e7i −0.542575 + 0.313256i −0.746122 0.665809i \(-0.768086\pi\)
0.203547 + 0.979065i \(0.434753\pi\)
\(398\) 6.62579e7i 1.05097i
\(399\) 1.98719e7 + 1.53248e7i 0.312839 + 0.241256i
\(400\) 7.50587e7 1.17279
\(401\) 4.77624e7 + 8.27269e7i 0.740718 + 1.28296i 0.952169 + 0.305572i \(0.0988478\pi\)
−0.211451 + 0.977389i \(0.567819\pi\)
\(402\) 7.67872e6 + 4.43331e6i 0.118198 + 0.0682418i
\(403\) 4.76869e7 8.25962e7i 0.728592 1.26196i
\(404\) 1.75934e7 1.01575e7i 0.266812 0.154044i
\(405\) 1.03191e7i 0.155338i
\(406\) −8.22758e6 + 6.13468e7i −0.122940 + 0.916672i
\(407\) 7.33617e6 0.108814
\(408\) −2.11356e7 3.66079e7i −0.311196 0.539007i
\(409\) 1.64736e7 + 9.51105e6i 0.240779 + 0.139014i 0.615535 0.788110i \(-0.288940\pi\)
−0.374756 + 0.927124i \(0.622273\pi\)
\(410\) 3.76472e7 6.52069e7i 0.546237 0.946111i
\(411\) 3.43525e7 1.98334e7i 0.494804 0.285675i
\(412\) 3.02057e7i 0.431915i
\(413\) −1.98797e7 4.83244e7i −0.282202 0.685988i
\(414\) 1.50287e7 0.211797
\(415\) 4.88777e7 + 8.46586e7i 0.683858 + 1.18448i
\(416\) −7.65950e7 4.42222e7i −1.06395 0.614271i
\(417\) −1.25994e7 + 2.18229e7i −0.173757 + 0.300956i
\(418\) 7.01470e6 4.04994e6i 0.0960462 0.0554523i
\(419\) 3.79635e7i 0.516089i 0.966133 + 0.258044i \(0.0830781\pi\)
−0.966133 + 0.258044i \(0.916922\pi\)
\(420\) 1.95730e7 8.05196e6i 0.264186 0.108681i
\(421\) −1.18733e8 −1.59120 −0.795600 0.605823i \(-0.792844\pi\)
−0.795600 + 0.605823i \(0.792844\pi\)
\(422\) 5.25554e7 + 9.10286e7i 0.699326 + 1.21127i
\(423\) 3.14560e7 + 1.81612e7i 0.415607 + 0.239951i
\(424\) −1.95966e7 + 3.39423e7i −0.257089 + 0.445291i
\(425\) 9.09970e7 5.25371e7i 1.18539 0.684383i
\(426\) 7.04151e7i 0.910829i
\(427\) 5.72986e7 + 7.68465e6i 0.735970 + 0.0987053i
\(428\) −2.28812e6 −0.0291842
\(429\) −5.75377e6 9.96583e6i −0.0728754 0.126224i
\(430\) 1.31199e8 + 7.57479e7i 1.65016 + 0.952720i
\(431\) 2.94287e7 5.09719e7i 0.367569 0.636648i −0.621616 0.783322i \(-0.713524\pi\)
0.989185 + 0.146674i \(0.0468569\pi\)
\(432\) −1.65094e7 + 9.53171e6i −0.204777 + 0.118228i
\(433\) 5.48589e7i 0.675746i 0.941192 + 0.337873i \(0.109707\pi\)
−0.941192 + 0.337873i \(0.890293\pi\)
\(434\) −4.67037e7 + 6.05613e7i −0.571323 + 0.740843i
\(435\) 5.28102e7 0.641578
\(436\) 2.21138e7 + 3.83022e7i 0.266811 + 0.462130i
\(437\) −2.70050e7 1.55914e7i −0.323594 0.186827i
\(438\) −647830. + 1.12207e6i −0.00770972 + 0.0133536i
\(439\) 6.23635e7 3.60056e7i 0.737117 0.425575i −0.0839029 0.996474i \(-0.526739\pi\)
0.821020 + 0.570899i \(0.193405\pi\)
\(440\) 1.24708e7i 0.146398i
\(441\) −2.03129e7 + 2.01172e7i −0.236841 + 0.234558i
\(442\) −2.61123e8 −3.02397
\(443\) −6.73580e7 1.16667e8i −0.774779 1.34196i −0.934919 0.354862i \(-0.884528\pi\)
0.160140 0.987094i \(-0.448805\pi\)
\(444\) −1.20997e7 6.98579e6i −0.138238 0.0798117i
\(445\) −1.80658e7 + 3.12909e7i −0.205011 + 0.355090i
\(446\) 9.05952e6 5.23052e6i 0.102118 0.0589576i
\(447\) 1.77810e7i 0.199083i
\(448\) −3.13218e7 2.41548e7i −0.348348 0.268639i
\(449\) 1.73542e8 1.91719 0.958594 0.284777i \(-0.0919196\pi\)
0.958594 + 0.284777i \(0.0919196\pi\)
\(450\) −1.68683e7 2.92168e7i −0.185112 0.320623i
\(451\) 7.43163e6 + 4.29065e6i 0.0810130 + 0.0467728i
\(452\) −1.29087e7 + 2.23585e7i −0.139787 + 0.242118i
\(453\) 5.88674e6 3.39871e6i 0.0633258 0.0365611i
\(454\) 9.28216e7i 0.991931i
\(455\) −3.17253e7 + 2.36552e8i −0.336800 + 2.51126i
\(456\) 2.81607e7 0.296994
\(457\) −7.31723e7 1.26738e8i −0.766652 1.32788i −0.939369 0.342908i \(-0.888588\pi\)
0.172717 0.984971i \(-0.444745\pi\)
\(458\) 1.57548e8 + 9.09603e7i 1.63990 + 0.946794i
\(459\) −1.33434e7 + 2.31114e7i −0.137984 + 0.238995i
\(460\) −2.27757e7 + 1.31495e7i −0.233990 + 0.135094i
\(461\) 6.84094e7i 0.698254i −0.937075 0.349127i \(-0.886478\pi\)
0.937075 0.349127i \(-0.113522\pi\)
\(462\) 3.51062e6 + 8.53375e6i 0.0356006 + 0.0865395i
\(463\) 2.01813e7 0.203332 0.101666 0.994819i \(-0.467583\pi\)
0.101666 + 0.994819i \(0.467583\pi\)
\(464\) 4.87803e7 + 8.44900e7i 0.488305 + 0.845768i
\(465\) 5.65096e7 + 3.26258e7i 0.562035 + 0.324491i
\(466\) 1.49049e7 2.58161e7i 0.147290 0.255113i
\(467\) −6.85001e7 + 3.95486e7i −0.672575 + 0.388311i −0.797052 0.603911i \(-0.793608\pi\)
0.124477 + 0.992223i \(0.460275\pi\)
\(468\) 2.19159e7i 0.213806i
\(469\) 1.93826e7 7.97364e6i 0.187886 0.0772926i
\(470\) −2.43156e8 −2.34202
\(471\) −4.16648e7 7.21655e7i −0.398755 0.690664i
\(472\) −5.07818e7 2.93189e7i −0.482928 0.278819i
\(473\) −8.63299e6 + 1.49528e7i −0.0815789 + 0.141299i
\(474\) −5.57805e7 + 3.22049e7i −0.523778 + 0.302403i
\(475\) 6.99994e7i 0.653151i
\(476\) 5.42488e7 + 7.27562e6i 0.503001 + 0.0674605i
\(477\) 2.47436e7 0.227985
\(478\) −6.62542e7 1.14756e8i −0.606638 1.05073i
\(479\) −2.63942e6 1.52387e6i −0.0240161 0.0138657i 0.487944 0.872875i \(-0.337747\pi\)
−0.511960 + 0.859009i \(0.671080\pi\)
\(480\) 3.02554e7 5.24038e7i 0.273576 0.473848i
\(481\) 1.36447e8 7.87778e7i 1.22611 0.707895i
\(482\) 4.70861e7i 0.420486i
\(483\) 2.16940e7 2.81309e7i 0.192530 0.249657i
\(484\) −3.93484e7 −0.347049
\(485\) −1.07646e8 1.86449e8i −0.943571 1.63431i
\(486\) 7.42048e6 + 4.28422e6i 0.0646433 + 0.0373218i
\(487\) 3.68761e7 6.38713e7i 0.319270 0.552992i −0.661066 0.750328i \(-0.729896\pi\)
0.980336 + 0.197336i \(0.0632290\pi\)
\(488\) 5.61832e7 3.24374e7i 0.483445 0.279117i
\(489\) 2.60406e7i 0.222702i
\(490\) 5.04282e7 1.84621e8i 0.428632 1.56925i
\(491\) −8.29108e7 −0.700433 −0.350216 0.936669i \(-0.613892\pi\)
−0.350216 + 0.936669i \(0.613892\pi\)
\(492\) −8.17145e6 1.41534e7i −0.0686126 0.118841i
\(493\) 1.18277e8 + 6.82873e7i 0.987097 + 0.569901i
\(494\) 8.69786e7 1.50651e8i 0.721492 1.24966i
\(495\) 6.81829e6 3.93654e6i 0.0562160 0.0324563i
\(496\) 1.20545e8i 0.987879i
\(497\) 1.31804e8 + 1.01645e8i 1.07364 + 0.827971i
\(498\) 8.11705e7 0.657219
\(499\) −2.45539e7 4.25286e7i −0.197615 0.342279i 0.750140 0.661279i \(-0.229986\pi\)
−0.947755 + 0.319001i \(0.896653\pi\)
\(500\) −2.43550e6 1.40613e6i −0.0194840 0.0112491i
\(501\) −1.12307e6 + 1.94522e6i −0.00893088 + 0.0154687i
\(502\) −8.80942e7 + 5.08612e7i −0.696364 + 0.402046i
\(503\) 1.66557e8i 1.30875i 0.756169 + 0.654377i \(0.227069\pi\)
−0.756169 + 0.654377i \(0.772931\pi\)
\(504\) −4.26446e6 + 3.17968e7i −0.0333099 + 0.248366i
\(505\) −1.56736e8 −1.21701
\(506\) −5.73314e6 9.93009e6i −0.0442528 0.0766482i
\(507\) −1.48869e8 8.59498e7i −1.14230 0.659510i
\(508\) −3.81669e7 + 6.61071e7i −0.291136 + 0.504263i
\(509\) 8.07268e7 4.66076e7i 0.612159 0.353430i −0.161651 0.986848i \(-0.551682\pi\)
0.773810 + 0.633418i \(0.218348\pi\)
\(510\) 1.78652e8i 1.34678i
\(511\) 1.16517e6 + 2.83234e6i 0.00873225 + 0.0212267i
\(512\) −1.21862e7 −0.0907942
\(513\) −8.88923e6 1.53966e7i −0.0658434 0.114044i
\(514\) 7.79849e7 + 4.50246e7i 0.574277 + 0.331559i
\(515\) −1.16523e8 + 2.01823e8i −0.853078 + 1.47757i
\(516\) 2.84772e7 1.64413e7i 0.207276 0.119671i
\(517\) 2.77124e7i 0.200541i
\(518\) −1.16840e8 + 4.80657e7i −0.840624 + 0.345816i
\(519\) −2.74098e7 −0.196066
\(520\) 1.33915e8 + 2.31947e8i 0.952397 + 1.64960i
\(521\) −1.07746e8 6.22072e7i −0.761882 0.439873i 0.0680889 0.997679i \(-0.478310\pi\)
−0.829971 + 0.557806i \(0.811643\pi\)
\(522\) 2.19253e7 3.79757e7i 0.154147 0.266990i
\(523\) −5.54978e7 + 3.20417e7i −0.387945 + 0.223980i −0.681269 0.732033i \(-0.738572\pi\)
0.293324 + 0.956013i \(0.405238\pi\)
\(524\) 6.77781e7i 0.471081i
\(525\) −7.90380e7 1.06002e7i −0.546208 0.0732551i
\(526\) 2.19565e8 1.50871
\(527\) 8.43751e7 + 1.46142e8i 0.576477 + 0.998488i
\(528\) 1.25960e7 + 7.27231e6i 0.0855719 + 0.0494050i
\(529\) 5.19466e7 8.99742e7i 0.350906 0.607786i
\(530\) −1.43451e8 + 8.28215e7i −0.963554 + 0.556308i
\(531\) 3.70194e7i 0.247255i
\(532\) −2.22676e7 + 2.88747e7i −0.147890 + 0.191771i
\(533\) 1.84297e8 1.21713
\(534\) 1.50008e7 + 2.59822e7i 0.0985126 + 0.170629i
\(535\) 1.52883e7 + 8.82673e6i 0.0998387 + 0.0576419i
\(536\) 1.17596e7 2.03683e7i 0.0763659 0.132270i
\(537\) −1.34793e8 + 7.78227e7i −0.870450 + 0.502555i
\(538\) 1.11717e8i 0.717415i
\(539\) 2.10412e7 + 5.74730e6i 0.134371 + 0.0367027i
\(540\) −1.49941e7 −0.0952225
\(541\) −5.86026e7 1.01503e8i −0.370105 0.641041i 0.619476 0.785015i \(-0.287345\pi\)
−0.989581 + 0.143975i \(0.954012\pi\)
\(542\) 3.14511e7 + 1.81583e7i 0.197532 + 0.114045i
\(543\) −6.08272e7 + 1.05356e8i −0.379925 + 0.658050i
\(544\) 1.35524e8 7.82447e7i 0.841819 0.486024i
\(545\) 3.41227e8i 2.10792i
\(546\) 1.56933e8 + 1.21023e8i 0.964129 + 0.743517i
\(547\) −1.64328e8 −1.00403 −0.502017 0.864858i \(-0.667409\pi\)
−0.502017 + 0.864858i \(0.667409\pi\)
\(548\) 2.88188e7 + 4.99156e7i 0.175119 + 0.303315i
\(549\) −3.54697e7 2.04785e7i −0.214359 0.123760i
\(550\) −1.28698e7 + 2.22912e7i −0.0773544 + 0.133982i
\(551\) −7.87950e7 + 4.54923e7i −0.471025 + 0.271946i
\(552\) 3.98646e7i 0.237012i
\(553\) −2.02379e7 + 1.50899e8i −0.119671 + 0.892298i
\(554\) 1.97842e8 1.16356
\(555\) 5.38972e7 + 9.33527e7i 0.315273 + 0.546070i
\(556\) −3.17095e7 1.83075e7i −0.184486 0.106513i
\(557\) −1.01102e8 + 1.75114e8i −0.585052 + 1.01334i 0.409817 + 0.912168i \(0.365593\pi\)
−0.994869 + 0.101172i \(0.967741\pi\)
\(558\) 4.69224e7 2.70907e7i 0.270071 0.155925i
\(559\) 3.70813e8i 2.12285i
\(560\) −1.14765e8 2.78976e8i −0.653500 1.58855i
\(561\) 2.03609e7 0.115321
\(562\) 4.74590e7 + 8.22013e7i 0.267368 + 0.463095i
\(563\) −1.22757e8 7.08737e7i −0.687892 0.397155i 0.114930 0.993374i \(-0.463336\pi\)
−0.802822 + 0.596219i \(0.796669\pi\)
\(564\) −2.63889e7 + 4.57068e7i −0.147090 + 0.254767i
\(565\) 1.72502e8 9.95940e7i 0.956419 0.552189i
\(566\) 3.59028e7i 0.198006i
\(567\) 1.87308e7 7.70548e6i 0.102756 0.0422718i
\(568\) 1.86780e8 1.01926
\(569\) 1.70801e8 + 2.95835e8i 0.927156 + 1.60588i 0.788057 + 0.615603i \(0.211087\pi\)
0.139099 + 0.990278i \(0.455579\pi\)
\(570\) 1.03071e8 + 5.95080e7i 0.556559 + 0.321329i
\(571\) 1.31414e8 2.27616e8i 0.705883 1.22263i −0.260488 0.965477i \(-0.583884\pi\)
0.966372 0.257149i \(-0.0827831\pi\)
\(572\) 1.44807e7 8.36045e6i 0.0773753 0.0446727i
\(573\) 7.97541e6i 0.0423925i
\(574\) −1.46472e8 1.96442e7i −0.774496 0.103872i
\(575\) 9.90920e7 0.521237
\(576\) 1.40111e7 + 2.42679e7i 0.0733168 + 0.126989i
\(577\) −1.79880e8 1.03854e8i −0.936389 0.540625i −0.0475627 0.998868i \(-0.515145\pi\)
−0.888827 + 0.458244i \(0.848479\pi\)
\(578\) 1.18665e8 2.05534e8i 0.614526 1.06439i
\(579\) 1.17539e8 6.78611e7i 0.605544 0.349611i
\(580\) 7.67352e7i 0.393288i
\(581\) 1.17170e8 1.51936e8i 0.597432 0.774699i
\(582\) −1.78767e8 −0.906815
\(583\) −9.43917e6 1.63491e7i −0.0476352 0.0825066i
\(584\) 2.97637e6 + 1.71841e6i 0.0149434 + 0.00862756i
\(585\) 8.45433e7 1.46433e8i 0.422291 0.731429i
\(586\) −2.32245e8 + 1.34087e8i −1.15413 + 0.666336i
\(587\) 2.00752e8i 0.992537i −0.868169 0.496268i \(-0.834703\pi\)
0.868169 0.496268i \(-0.165297\pi\)
\(588\) −2.92310e7 2.95154e7i −0.143784 0.145183i
\(589\) −1.12420e8 −0.550169
\(590\) −1.23911e8 2.14620e8i −0.603329 1.04500i
\(591\) 6.00712e7 + 3.46821e7i 0.291007 + 0.168013i
\(592\) −9.95688e7 + 1.72458e8i −0.479908 + 0.831226i
\(593\) −1.38061e8 + 7.97096e7i −0.662075 + 0.382249i −0.793067 0.609134i \(-0.791517\pi\)
0.130992 + 0.991383i \(0.458184\pi\)
\(594\) 6.53737e6i 0.0311920i
\(595\) −3.34403e8 2.57885e8i −1.58752 1.22426i
\(596\) 2.58365e7 0.122038
\(597\) 5.54785e7 + 9.60917e7i 0.260737 + 0.451609i
\(598\) −2.13264e8 1.23128e8i −0.997273 0.575776i
\(599\) −4.27029e7 + 7.39635e7i −0.198690 + 0.344142i −0.948104 0.317960i \(-0.897002\pi\)
0.749414 + 0.662102i \(0.230335\pi\)
\(600\) −7.74994e7 + 4.47443e7i −0.358793 + 0.207149i
\(601\) 1.61501e8i 0.743962i −0.928240 0.371981i \(-0.878679\pi\)
0.928240 0.371981i \(-0.121321\pi\)
\(602\) 3.95251e7 2.94708e8i 0.181169 1.35084i
\(603\) −1.48483e7 −0.0677211
\(604\) 4.93846e6 + 8.55366e6i 0.0224120 + 0.0388187i
\(605\) 2.62911e8 + 1.51792e8i 1.18725 + 0.685460i
\(606\) −6.50725e7 + 1.12709e8i −0.292401 + 0.506454i
\(607\) −2.02413e7 + 1.16863e7i −0.0905049 + 0.0522530i −0.544569 0.838716i \(-0.683307\pi\)
0.454064 + 0.890969i \(0.349974\pi\)
\(608\) 1.04252e8i 0.463844i
\(609\) −3.94342e7 9.58583e7i −0.174591 0.424402i
\(610\) 2.74181e8 1.20795
\(611\) −2.97584e8 5.15430e8i −1.30462 2.25968i
\(612\) −3.35818e7 1.93885e7i −0.146504 0.0845842i
\(613\) −1.66743e8 + 2.88807e8i −0.723878 + 1.25379i 0.235557 + 0.971861i \(0.424309\pi\)
−0.959434 + 0.281932i \(0.909025\pi\)
\(614\) −2.17802e8 + 1.25748e8i −0.940927 + 0.543244i
\(615\) 1.26090e8i 0.542069i
\(616\) 2.26363e7 9.31214e6i 0.0968420 0.0398389i
\(617\) −1.74626e8 −0.743451 −0.371726 0.928343i \(-0.621234\pi\)
−0.371726 + 0.928343i \(0.621234\pi\)
\(618\) 9.67539e7 + 1.67583e8i 0.409924 + 0.710008i
\(619\) −4.50581e7 2.60143e7i −0.189977 0.109683i 0.401995 0.915642i \(-0.368317\pi\)
−0.591972 + 0.805959i \(0.701650\pi\)
\(620\) −4.74066e7 + 8.21107e7i −0.198913 + 0.344528i
\(621\) −2.17956e7 + 1.25837e7i −0.0910111 + 0.0525453i
\(622\) 5.21816e7i 0.216843i
\(623\) 7.02877e7 + 9.42670e6i 0.290680 + 0.0389848i
\(624\) 3.12368e8 1.28562
\(625\) 1.27368e8 + 2.20609e8i 0.521701 + 0.903613i
\(626\) −2.32138e8 1.34025e8i −0.946289 0.546340i
\(627\) −6.78212e6 + 1.17470e7i −0.0275146 + 0.0476567i
\(628\) 1.04859e8 6.05405e7i 0.423378 0.244437i
\(629\) 2.78772e8i 1.12020i
\(630\) −8.28002e7 + 1.07368e8i −0.331138 + 0.429392i
\(631\) 3.39999e8 1.35329 0.676643 0.736311i \(-0.263434\pi\)
0.676643 + 0.736311i \(0.263434\pi\)
\(632\) 8.54254e7 + 1.47961e8i 0.338404 + 0.586134i
\(633\) −1.52439e8 8.80105e7i −0.601013 0.346995i
\(634\) 1.70111e8 2.94641e8i 0.667521 1.15618i
\(635\) 5.10034e8 2.94468e8i 1.99195 1.15005i
\(636\) 3.59534e7i 0.139755i
\(637\) 4.53066e8 1.19051e8i 1.75285 0.460590i
\(638\) −3.34562e7 −0.128829
\(639\) −5.89594e7 1.02121e8i −0.225970 0.391391i
\(640\) −3.77608e8 2.18012e8i −1.44046 0.831650i
\(641\) 7.72851e6 1.33862e7i 0.0293441 0.0508256i −0.850980 0.525197i \(-0.823991\pi\)
0.880325 + 0.474372i \(0.157325\pi\)
\(642\) 1.26946e7 7.32922e6i 0.0479748 0.0276983i
\(643\) 1.06911e8i 0.402152i −0.979576 0.201076i \(-0.935556\pi\)
0.979576 0.201076i \(-0.0644438\pi\)
\(644\) 4.08753e7 + 3.15223e7i 0.153040 + 0.118021i
\(645\) −2.53699e8 −0.945451
\(646\) 1.53896e8 + 2.66556e8i 0.570860 + 0.988759i
\(647\) 4.33160e8 + 2.50085e8i 1.59932 + 0.923369i 0.991618 + 0.129205i \(0.0412427\pi\)
0.607704 + 0.794163i \(0.292091\pi\)
\(648\) 1.13642e7 1.96833e7i 0.0417650 0.0723391i
\(649\) 2.44603e7 1.41221e7i 0.0894803 0.0516615i
\(650\) 5.52799e8i 2.01292i
\(651\) 1.70241e7 1.26936e8i 0.0617051 0.460088i
\(652\) 3.78380e7 0.136516
\(653\) −9.83335e7 1.70319e8i −0.353152 0.611677i 0.633648 0.773622i \(-0.281557\pi\)
−0.986800 + 0.161944i \(0.948224\pi\)
\(654\) −2.45376e8 1.41668e8i −0.877201 0.506452i
\(655\) −2.61463e8 + 4.52867e8i −0.930436 + 1.61156i
\(656\) −2.01729e8 + 1.16468e8i −0.714589 + 0.412568i
\(657\) 2.16974e6i 0.00765089i
\(658\) 1.81568e8 + 4.41364e8i 0.637327 + 1.54924i
\(659\) 2.58438e8 0.903026 0.451513 0.892264i \(-0.350884\pi\)
0.451513 + 0.892264i \(0.350884\pi\)
\(660\) 5.71995e6 + 9.90724e6i 0.0198958 + 0.0344605i
\(661\) 4.01236e8 + 2.31654e8i 1.38930 + 0.802111i 0.993236 0.116112i \(-0.0370433\pi\)
0.396062 + 0.918224i \(0.370377\pi\)
\(662\) −1.08020e8 + 1.87095e8i −0.372330 + 0.644895i
\(663\) 3.78697e8 2.18641e8i 1.29943 0.750224i
\(664\) 2.15310e8i 0.735461i
\(665\) 2.60171e8 1.07029e8i 0.884697 0.363947i
\(666\) 8.95064e7 0.302992
\(667\) 6.43995e7 + 1.11543e8i 0.217023 + 0.375894i
\(668\) −2.82647e6 1.63187e6i −0.00948234 0.00547463i
\(669\) −8.75915e6 + 1.51713e7i −0.0292539 + 0.0506692i
\(670\) 8.60829e7 4.97000e7i 0.286215 0.165246i
\(671\) 3.12485e7i 0.103433i
\(672\) −1.17713e8 1.57872e7i −0.387897 0.0520232i
\(673\) −3.81262e8 −1.25077 −0.625385 0.780316i \(-0.715058\pi\)
−0.625385 + 0.780316i \(0.715058\pi\)
\(674\) −9.82265e7 1.70133e8i −0.320811 0.555660i
\(675\) 4.89271e7 + 2.82481e7i 0.159088 + 0.0918497i
\(676\) 1.24888e8 2.16313e8i 0.404280 0.700233i
\(677\) −3.72384e8 + 2.14996e8i −1.20012 + 0.692890i −0.960582 0.277997i \(-0.910329\pi\)
−0.239538 + 0.970887i \(0.576996\pi\)
\(678\) 1.65394e8i 0.530679i
\(679\) −2.58052e8 + 3.34619e8i −0.824323 + 1.06891i
\(680\) −4.73885e8 −1.50711
\(681\) 7.77206e7 + 1.34616e8i 0.246091 + 0.426241i
\(682\) −3.57999e7 2.06691e7i −0.112857 0.0651580i
\(683\) −7.64651e7 + 1.32441e8i −0.239995 + 0.415683i −0.960712 0.277546i \(-0.910479\pi\)
0.720718 + 0.693228i \(0.243812\pi\)
\(684\) 2.23719e7 1.29164e7i 0.0699091 0.0403620i
\(685\) 4.44689e8i 1.38352i
\(686\) −3.72769e8 + 4.63246e7i −1.15470 + 0.143496i
\(687\) −3.04649e8 −0.939570
\(688\) −2.34339e8 4.05888e8i −0.719581 1.24635i
\(689\) −3.51122e8 2.02721e8i −1.07350 0.619784i
\(690\) 8.42402e7 1.45908e8i 0.256432 0.444153i
\(691\) 1.99349e8 1.15094e8i 0.604198 0.348834i −0.166493 0.986043i \(-0.553244\pi\)
0.770691 + 0.637209i \(0.219911\pi\)
\(692\) 3.98274e7i 0.120189i
\(693\) −1.22367e7 9.43674e6i −0.0367677 0.0283545i
\(694\) −7.51012e6 −0.0224682
\(695\) 1.41247e8 + 2.44647e8i 0.420751 + 0.728761i
\(696\) −1.00733e8 5.81582e7i −0.298775 0.172498i
\(697\) −1.63043e8 + 2.82399e8i −0.481509 + 0.833998i
\(698\) 5.62908e8 3.24995e8i 1.65528 0.955675i
\(699\) 4.99204e7i 0.146166i
\(700\) 1.54026e7 1.14845e8i 0.0449055 0.334826i
\(701\) 8.76414e7 0.254422 0.127211 0.991876i \(-0.459397\pi\)
0.127211 + 0.991876i \(0.459397\pi\)
\(702\) −7.02000e7 1.21590e8i −0.202920 0.351469i
\(703\) −1.60834e8 9.28575e7i −0.462926 0.267270i
\(704\) 1.06899e7 1.85154e7i 0.0306376 0.0530659i
\(705\) 3.52640e8 2.03597e8i 1.00639 0.581037i
\(706\) 2.49419e8i 0.708788i
\(707\) 1.17038e8 + 2.84500e8i 0.331182 + 0.805051i
\(708\) −5.37906e7 −0.151568
\(709\) −1.56656e8 2.71336e8i −0.439550 0.761324i 0.558104 0.829771i \(-0.311529\pi\)
−0.997655 + 0.0684471i \(0.978196\pi\)
\(710\) 6.83635e8 + 3.94697e8i 1.91007 + 1.10278i
\(711\) 5.39310e7 9.34113e7i 0.150048 0.259891i
\(712\) 6.89195e7 3.97907e7i 0.190942 0.110241i
\(713\) 1.59143e8i 0.439054i
\(714\) −3.24279e8 + 1.33402e8i −0.890891 + 0.366495i
\(715\) −1.29006e8 −0.352933
\(716\) −1.13079e8 1.95859e8i −0.308066 0.533586i
\(717\) 1.92172e8 + 1.10951e8i 0.521355 + 0.301004i
\(718\) −1.19211e8 + 2.06479e8i −0.322064 + 0.557831i
\(719\) −6.19602e8 + 3.57727e8i −1.66696 + 0.962421i −0.697701 + 0.716389i \(0.745793\pi\)
−0.969262 + 0.246032i \(0.920873\pi\)
\(720\) 2.13712e8i 0.572574i
\(721\) 4.53349e8 + 6.08013e7i 1.20956 + 0.162221i
\(722\) 2.32885e8 0.618770
\(723\) −3.94257e7 6.82874e7i −0.104319 0.180686i
\(724\) −1.53086e8 8.83842e7i −0.403385 0.232894i
\(725\) 1.44565e8 2.50394e8i 0.379358 0.657067i
\(726\) 2.18306e8 1.26039e8i 0.570501 0.329379i
\(727\) 7.42437e8i 1.93222i −0.258132 0.966110i \(-0.583107\pi\)
0.258132 0.966110i \(-0.416893\pi\)
\(728\) 3.21022e8 4.16273e8i 0.832033 1.07891i
\(729\) −1.43489e7 −0.0370370
\(730\) 7.26254e6 + 1.25791e7i 0.0186690 + 0.0323356i
\(731\) −5.68200e8 3.28050e8i −1.45462 0.839824i
\(732\) 2.97560e7 5.15389e7i 0.0758649 0.131402i
\(733\) −3.85053e8 + 2.22311e8i −0.977707 + 0.564479i −0.901577 0.432619i \(-0.857590\pi\)
−0.0761299 + 0.997098i \(0.524256\pi\)
\(734\) 2.59690e8i 0.656700i
\(735\) 8.14507e7 + 3.09973e8i 0.205132 + 0.780661i
\(736\) 1.47580e8 0.370164
\(737\) 5.66431e6 + 9.81087e6i 0.0141496 + 0.0245078i
\(738\) 9.06710e7 + 5.23489e7i 0.225579 + 0.130238i
\(739\) 2.38987e8 4.13937e8i 0.592162 1.02566i −0.401778 0.915737i \(-0.631608\pi\)
0.993941 0.109918i \(-0.0350589\pi\)
\(740\) −1.35645e8 + 7.83147e7i −0.334741 + 0.193263i
\(741\) 2.91313e8i 0.715987i
\(742\) 2.57451e8 + 1.98541e8i 0.630206 + 0.486002i
\(743\) 4.11550e8 1.00336 0.501679 0.865054i \(-0.332716\pi\)
0.501679 + 0.865054i \(0.332716\pi\)
\(744\) −7.18597e7 1.24465e8i −0.174488 0.302223i
\(745\) −1.72629e8 9.96676e7i −0.417490 0.241038i
\(746\) −1.04062e8 + 1.80240e8i −0.250654 + 0.434146i
\(747\) −1.17719e8 + 6.79650e7i −0.282413 + 0.163051i
\(748\) 2.95852e7i 0.0706919i
\(749\) 4.60577e6 3.43417e7i 0.0109612 0.0817290i
\(750\) 1.80163e7 0.0427053
\(751\) −4.02795e6 6.97662e6i −0.00950965 0.0164712i 0.861231 0.508213i \(-0.169694\pi\)
−0.870741 + 0.491742i \(0.836360\pi\)
\(752\) 6.51462e8 + 3.76122e8i 1.53192 + 0.884454i
\(753\) 8.51734e7 1.47525e8i 0.199489 0.345525i
\(754\) −6.22260e8 + 3.59262e8i −1.45164 + 0.838102i
\(755\) 7.62031e7i 0.177065i
\(756\) 1.11964e7 + 2.72166e7i 0.0259126 + 0.0629894i
\(757\) −6.97539e7 −0.160798 −0.0803990 0.996763i \(-0.525619\pi\)
−0.0803990 + 0.996763i \(0.525619\pi\)
\(758\) −2.75112e8 4.76507e8i −0.631686 1.09411i
\(759\) 1.66292e7 + 9.60086e6i 0.0380317 + 0.0219576i
\(760\) 1.57849e8 2.73402e8i 0.359584 0.622817i
\(761\) −3.33426e8 + 1.92503e8i −0.756563 + 0.436802i −0.828060 0.560639i \(-0.810556\pi\)
0.0714973 + 0.997441i \(0.477222\pi\)
\(762\) 4.89020e8i 1.10525i
\(763\) −6.19378e8 + 2.54800e8i −1.39438 + 0.573622i
\(764\) −1.15886e7 −0.0259867
\(765\) 1.49587e8 + 2.59092e8i 0.334126 + 0.578723i
\(766\) 3.71201e8 + 2.14313e8i 0.825890 + 0.476828i
\(767\) 3.03295e8