Properties

Label 13.7.f.a.7.5
Level 13
Weight 7
Character 13.7
Analytic conductor 2.991
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 13 \)
Weight: \( k \) = \( 7 \)
Character orbit: \([\chi]\) = 13.f (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.99070308706\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(6\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) = 13.7
Dual form 13.7.f.a.2.5

$q$-expansion

\(f(q)\) \(=\) \(q+(5.89025 - 1.57829i) q^{2} +(20.5701 - 35.6285i) q^{3} +(-23.2216 + 13.4070i) q^{4} +(-37.1940 - 37.1940i) q^{5} +(64.9312 - 242.326i) q^{6} +(588.562 + 157.705i) q^{7} +(-391.586 + 391.586i) q^{8} +(-481.762 - 834.436i) q^{9} +O(q^{10})\) \(q+(5.89025 - 1.57829i) q^{2} +(20.5701 - 35.6285i) q^{3} +(-23.2216 + 13.4070i) q^{4} +(-37.1940 - 37.1940i) q^{5} +(64.9312 - 242.326i) q^{6} +(588.562 + 157.705i) q^{7} +(-391.586 + 391.586i) q^{8} +(-481.762 - 834.436i) q^{9} +(-277.785 - 160.379i) q^{10} +(357.486 + 1334.15i) q^{11} +1103.14i q^{12} +(-2195.96 + 67.7273i) q^{13} +3715.68 q^{14} +(-2090.25 + 560.082i) q^{15} +(-830.455 + 1438.39i) q^{16} +(542.831 - 313.404i) q^{17} +(-4154.67 - 4154.67i) q^{18} +(493.874 - 1843.16i) q^{19} +(1362.37 + 365.045i) q^{20} +(17725.6 - 17725.6i) q^{21} +(4211.36 + 7294.28i) q^{22} +(-8024.91 - 4633.18i) q^{23} +(5896.66 + 22006.6i) q^{24} -12858.2i q^{25} +(-12827.8 + 3864.78i) q^{26} -9648.36 q^{27} +(-15781.7 + 4228.70i) q^{28} +(-15187.1 + 26304.9i) q^{29} +(-11428.1 + 6598.04i) q^{30} +(10734.1 + 10734.1i) q^{31} +(6551.76 - 24451.5i) q^{32} +(54887.5 + 14707.1i) q^{33} +(2702.77 - 2702.77i) q^{34} +(-16025.3 - 27756.7i) q^{35} +(22374.6 + 12918.0i) q^{36} +(-15082.9 - 56290.2i) q^{37} -11636.2i q^{38} +(-42758.1 + 79631.8i) q^{39} +29129.3 q^{40} +(-51334.8 + 13755.1i) q^{41} +(76432.1 - 132384. i) q^{42} +(22415.5 - 12941.6i) q^{43} +(-26188.4 - 26188.4i) q^{44} +(-13117.4 + 48954.7i) q^{45} +(-54581.2 - 14625.0i) q^{46} +(-21563.6 + 21563.6i) q^{47} +(34165.2 + 59175.8i) q^{48} +(219648. + 126814. i) q^{49} +(-20293.9 - 75738.0i) q^{50} -25787.0i q^{51} +(50085.6 - 31013.9i) q^{52} -219021. q^{53} +(-56831.2 + 15227.9i) q^{54} +(36326.2 - 62918.9i) q^{55} +(-292228. + 168718. i) q^{56} +(-55510.2 - 55510.2i) q^{57} +(-47939.3 + 178912. i) q^{58} +(156719. + 41992.7i) q^{59} +(41030.1 - 41030.1i) q^{60} +(201313. + 348684. i) q^{61} +(80167.7 + 46284.8i) q^{62} +(-151952. - 567093. i) q^{63} -260664. i q^{64} +(84195.5 + 79157.4i) q^{65} +346513. q^{66} +(-14911.4 + 3995.51i) q^{67} +(-8403.61 + 14555.5i) q^{68} +(-330147. + 190611. i) q^{69} +(-138201. - 138201. i) q^{70} +(136535. - 509556. i) q^{71} +(515405. + 138102. i) q^{72} +(121026. - 121026. i) q^{73} +(-177684. - 307758. i) q^{74} +(-458119. - 264495. i) q^{75} +(13242.8 + 49422.6i) q^{76} +841610. i q^{77} +(-126174. + 536536. i) q^{78} +326385. q^{79} +(84387.5 - 22611.6i) q^{80} +(152736. - 264547. i) q^{81} +(-280665. + 162042. i) q^{82} +(-342983. - 342983. i) q^{83} +(-173970. + 649264. i) q^{84} +(-31846.8 - 8533.32i) q^{85} +(111607. - 111607. i) q^{86} +(624804. + 1.08219e6i) q^{87} +(-662423. - 382450. i) q^{88} +(-56310.2 - 210152. i) q^{89} +309058. i q^{90} +(-1.30314e6 - 306451. i) q^{91} +248469. q^{92} +(603240. - 161638. i) q^{93} +(-92981.5 + 161049. i) q^{94} +(-86923.8 + 50185.5i) q^{95} +(-736401. - 736401. i) q^{96} +(281554. - 1.05078e6i) q^{97} +(1.49393e6 + 400296. i) q^{98} +(941043. - 941043. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + O(q^{10}) \) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + 4674q^{10} + 228q^{11} - 1552q^{13} - 14616q^{14} + 7486q^{15} - 2138q^{16} + 20898q^{17} - 5630q^{18} - 14036q^{19} - 14634q^{20} - 314q^{21} + 37852q^{22} + 29634q^{23} + 47154q^{24} + 510q^{26} - 107060q^{27} - 40572q^{28} + 1026q^{29} - 247734q^{30} - 118116q^{31} + 180876q^{32} + 306046q^{33} + 101898q^{34} + 104862q^{35} + 105066q^{36} - 31470q^{37} + 28510q^{39} - 275328q^{40} - 357216q^{41} - 25636q^{42} - 480486q^{43} - 797712q^{44} + 464248q^{45} + 1012050q^{46} + 140028q^{47} + 676102q^{48} + 854562q^{49} + 756714q^{50} - 771704q^{52} - 1397076q^{53} - 1271048q^{54} - 205490q^{55} - 1461108q^{56} - 1483394q^{57} + 1133806q^{58} + 1568052q^{59} + 886808q^{60} + 768676q^{61} + 3741966q^{62} + 1336264q^{63} - 946968q^{65} - 5076928q^{66} - 1489892q^{67} - 569052q^{68} - 1475766q^{69} - 2626556q^{70} + 2136948q^{71} + 4787052q^{72} + 326326q^{73} + 2159718q^{74} + 3466008q^{75} + 1522158q^{76} - 1573544q^{78} - 1734344q^{79} - 5214300q^{80} - 773072q^{81} - 3540426q^{82} - 3642132q^{83} + 2952364q^{84} + 3509916q^{85} - 132324q^{86} + 531698q^{87} + 4478052q^{88} + 632754q^{89} - 2946788q^{91} - 1656060q^{92} - 295514q^{93} + 1552210q^{94} - 2753718q^{95} - 3979208q^{96} + 2258214q^{97} + 4984308q^{98} + 4336480q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.89025 1.57829i 0.736281 0.197286i 0.128856 0.991663i \(-0.458869\pi\)
0.607424 + 0.794377i \(0.292203\pi\)
\(3\) 20.5701 35.6285i 0.761857 1.31958i −0.180035 0.983660i \(-0.557621\pi\)
0.941892 0.335915i \(-0.109046\pi\)
\(4\) −23.2216 + 13.4070i −0.362838 + 0.209485i
\(5\) −37.1940 37.1940i −0.297552 0.297552i 0.542502 0.840054i \(-0.317477\pi\)
−0.840054 + 0.542502i \(0.817477\pi\)
\(6\) 64.9312 242.326i 0.300607 1.12188i
\(7\) 588.562 + 157.705i 1.71592 + 0.459781i 0.976865 0.213859i \(-0.0686032\pi\)
0.739060 + 0.673639i \(0.235270\pi\)
\(8\) −391.586 + 391.586i −0.764817 + 0.764817i
\(9\) −481.762 834.436i −0.660853 1.14463i
\(10\) −277.785 160.379i −0.277785 0.160379i
\(11\) 357.486 + 1334.15i 0.268584 + 1.00237i 0.960020 + 0.279932i \(0.0903119\pi\)
−0.691436 + 0.722438i \(0.743021\pi\)
\(12\) 1103.14i 0.638389i
\(13\) −2195.96 + 67.7273i −0.999525 + 0.0308272i
\(14\) 3715.68 1.35411
\(15\) −2090.25 + 560.082i −0.619335 + 0.165950i
\(16\) −830.455 + 1438.39i −0.202748 + 0.351170i
\(17\) 542.831 313.404i 0.110489 0.0637907i −0.443737 0.896157i \(-0.646348\pi\)
0.554226 + 0.832366i \(0.313014\pi\)
\(18\) −4154.67 4154.67i −0.712392 0.712392i
\(19\) 493.874 1843.16i 0.0720038 0.268722i −0.920533 0.390664i \(-0.872245\pi\)
0.992537 + 0.121942i \(0.0389122\pi\)
\(20\) 1362.37 + 365.045i 0.170296 + 0.0456306i
\(21\) 17725.6 17725.6i 1.91400 1.91400i
\(22\) 4211.36 + 7294.28i 0.395507 + 0.685038i
\(23\) −8024.91 4633.18i −0.659564 0.380799i 0.132547 0.991177i \(-0.457684\pi\)
−0.792111 + 0.610378i \(0.791018\pi\)
\(24\) 5896.66 + 22006.6i 0.426552 + 1.59192i
\(25\) 12858.2i 0.822926i
\(26\) −12827.8 + 3864.78i −0.729849 + 0.219889i
\(27\) −9648.36 −0.490187
\(28\) −15781.7 + 4228.70i −0.718919 + 0.192634i
\(29\) −15187.1 + 26304.9i −0.622705 + 1.07856i 0.366275 + 0.930507i \(0.380633\pi\)
−0.988980 + 0.148050i \(0.952700\pi\)
\(30\) −11428.1 + 6598.04i −0.423264 + 0.244372i
\(31\) 10734.1 + 10734.1i 0.360312 + 0.360312i 0.863928 0.503616i \(-0.167997\pi\)
−0.503616 + 0.863928i \(0.667997\pi\)
\(32\) 6551.76 24451.5i 0.199944 0.746201i
\(33\) 54887.5 + 14707.1i 1.52733 + 0.409246i
\(34\) 2702.77 2702.77i 0.0687657 0.0687657i
\(35\) −16025.3 27756.7i −0.373768 0.647386i
\(36\) 22374.6 + 12918.0i 0.479565 + 0.276877i
\(37\) −15082.9 56290.2i −0.297770 1.11129i −0.938993 0.343937i \(-0.888239\pi\)
0.641223 0.767354i \(-0.278427\pi\)
\(38\) 11636.2i 0.212060i
\(39\) −42758.1 + 79631.8i −0.720816 + 1.34243i
\(40\) 29129.3 0.455146
\(41\) −51334.8 + 13755.1i −0.744835 + 0.199578i −0.611226 0.791456i \(-0.709323\pi\)
−0.133609 + 0.991034i \(0.542657\pi\)
\(42\) 76432.1 132384.i 1.03164 1.78685i
\(43\) 22415.5 12941.6i 0.281931 0.162773i −0.352366 0.935862i \(-0.614623\pi\)
0.634297 + 0.773089i \(0.281290\pi\)
\(44\) −26188.4 26188.4i −0.307434 0.307434i
\(45\) −13117.4 + 48954.7i −0.143949 + 0.537225i
\(46\) −54581.2 14625.0i −0.560750 0.150253i
\(47\) −21563.6 + 21563.6i −0.207696 + 0.207696i −0.803288 0.595591i \(-0.796918\pi\)
0.595591 + 0.803288i \(0.296918\pi\)
\(48\) 34165.2 + 59175.8i 0.308930 + 0.535082i
\(49\) 219648. + 126814.i 1.86697 + 1.07790i
\(50\) −20293.9 75738.0i −0.162352 0.605904i
\(51\) 25787.0i 0.194398i
\(52\) 50085.6 31013.9i 0.356208 0.220570i
\(53\) −219021. −1.47115 −0.735576 0.677443i \(-0.763088\pi\)
−0.735576 + 0.677443i \(0.763088\pi\)
\(54\) −56831.2 + 15227.9i −0.360915 + 0.0967070i
\(55\) 36326.2 62918.9i 0.218340 0.378175i
\(56\) −292228. + 168718.i −1.66402 + 0.960720i
\(57\) −55510.2 55510.2i −0.299742 0.299742i
\(58\) −47939.3 + 178912.i −0.245702 + 0.916971i
\(59\) 156719. + 41992.7i 0.763072 + 0.204465i 0.619309 0.785148i \(-0.287413\pi\)
0.143763 + 0.989612i \(0.454080\pi\)
\(60\) 41030.1 41030.1i 0.189954 0.189954i
\(61\) 201313. + 348684.i 0.886915 + 1.53618i 0.843503 + 0.537124i \(0.180489\pi\)
0.0434114 + 0.999057i \(0.486177\pi\)
\(62\) 80167.7 + 46284.8i 0.336375 + 0.194206i
\(63\) −151952. 567093.i −0.607695 2.26795i
\(64\) 260664.i 0.994355i
\(65\) 84195.5 + 79157.4i 0.306583 + 0.288238i
\(66\) 346513. 1.20528
\(67\) −14911.4 + 3995.51i −0.0495787 + 0.0132846i −0.283523 0.958965i \(-0.591503\pi\)
0.233944 + 0.972250i \(0.424837\pi\)
\(68\) −8403.61 + 14555.5i −0.0267263 + 0.0462914i
\(69\) −330147. + 190611.i −1.00499 + 0.580229i
\(70\) −138201. 138201.i −0.402918 0.402918i
\(71\) 136535. 509556.i 0.381477 1.42369i −0.462168 0.886792i \(-0.652928\pi\)
0.843645 0.536901i \(-0.180405\pi\)
\(72\) 515405. + 138102.i 1.38086 + 0.370001i
\(73\) 121026. 121026.i 0.311106 0.311106i −0.534232 0.845338i \(-0.679399\pi\)
0.845338 + 0.534232i \(0.179399\pi\)
\(74\) −177684. 307758.i −0.438484 0.759477i
\(75\) −458119. 264495.i −1.08591 0.626952i
\(76\) 13242.8 + 49422.6i 0.0301674 + 0.112586i
\(77\) 841610.i 1.84348i
\(78\) −126174. + 536536.i −0.265880 + 1.13062i
\(79\) 326385. 0.661986 0.330993 0.943633i \(-0.392616\pi\)
0.330993 + 0.943633i \(0.392616\pi\)
\(80\) 84387.5 22611.6i 0.164819 0.0441632i
\(81\) 152736. 264547.i 0.287400 0.497791i
\(82\) −280665. + 162042.i −0.509034 + 0.293891i
\(83\) −342983. 342983.i −0.599844 0.599844i 0.340427 0.940271i \(-0.389428\pi\)
−0.940271 + 0.340427i \(0.889428\pi\)
\(84\) −173970. + 649264.i −0.293519 + 1.09543i
\(85\) −31846.8 8533.32i −0.0518572 0.0138951i
\(86\) 111607. 111607.i 0.175467 0.175467i
\(87\) 624804. + 1.08219e6i 0.948824 + 1.64341i
\(88\) −662423. 382450.i −0.972048 0.561212i
\(89\) −56310.2 210152.i −0.0798761 0.298102i 0.914419 0.404770i \(-0.132648\pi\)
−0.994295 + 0.106668i \(0.965982\pi\)
\(90\) 309058.i 0.423948i
\(91\) −1.30314e6 306451.i −1.72928 0.406665i
\(92\) 248469. 0.319086
\(93\) 603240. 161638.i 0.749965 0.200953i
\(94\) −92981.5 + 161049.i −0.111947 + 0.193898i
\(95\) −86923.8 + 50185.5i −0.101384 + 0.0585339i
\(96\) −736401. 736401.i −0.832339 0.832339i
\(97\) 281554. 1.05078e6i 0.308494 1.15132i −0.621401 0.783493i \(-0.713436\pi\)
0.929895 0.367824i \(-0.119897\pi\)
\(98\) 1.49393e6 + 400296.i 1.58727 + 0.425308i
\(99\) 941043. 941043.i 0.969849 0.969849i
\(100\) 172390. + 298589.i 0.172390 + 0.298589i
\(101\) 1.32885e6 + 767214.i 1.28977 + 0.744651i 0.978614 0.205707i \(-0.0659495\pi\)
0.311159 + 0.950358i \(0.399283\pi\)
\(102\) −40699.3 151892.i −0.0383519 0.143131i
\(103\) 338349.i 0.309637i −0.987943 0.154818i \(-0.950521\pi\)
0.987943 0.154818i \(-0.0494793\pi\)
\(104\) 833385. 886427.i 0.740876 0.788031i
\(105\) −1.31857e6 −1.13903
\(106\) −1.29009e6 + 345677.i −1.08318 + 0.290237i
\(107\) −442472. + 766384.i −0.361189 + 0.625597i −0.988157 0.153448i \(-0.950962\pi\)
0.626968 + 0.779045i \(0.284296\pi\)
\(108\) 224050. 129356.i 0.177859 0.102687i
\(109\) 789617. + 789617.i 0.609729 + 0.609729i 0.942875 0.333146i \(-0.108110\pi\)
−0.333146 + 0.942875i \(0.608110\pi\)
\(110\) 114666. 427941.i 0.0861506 0.321518i
\(111\) −2.31580e6 620516.i −1.69329 0.453716i
\(112\) −715616. + 715616.i −0.509361 + 0.509361i
\(113\) −311238. 539079.i −0.215703 0.373609i 0.737787 0.675034i \(-0.235871\pi\)
−0.953490 + 0.301425i \(0.902538\pi\)
\(114\) −414579. 239357.i −0.279829 0.161559i
\(115\) 126152. + 470805.i 0.0829469 + 0.309562i
\(116\) 814457.i 0.521788i
\(117\) 1.11444e6 + 1.79976e6i 0.695824 + 1.12371i
\(118\) 989390. 0.602173
\(119\) 368915. 98850.5i 0.218920 0.0586594i
\(120\) 599195. 1.03784e6i 0.346756 0.600599i
\(121\) −117956. + 68102.0i −0.0665831 + 0.0384418i
\(122\) 1.73610e6 + 1.73610e6i 0.956085 + 0.956085i
\(123\) −565890. + 2.11193e6i −0.304100 + 1.13492i
\(124\) −393174. 105351.i −0.206215 0.0552551i
\(125\) −1.05940e6 + 1.05940e6i −0.542415 + 0.542415i
\(126\) −1.79007e6 3.10050e6i −0.894868 1.54996i
\(127\) 1.44203e6 + 832554.i 0.703982 + 0.406444i 0.808829 0.588044i \(-0.200102\pi\)
−0.104847 + 0.994488i \(0.533435\pi\)
\(128\) 7909.89 + 29520.1i 0.00377173 + 0.0140763i
\(129\) 1.06484e6i 0.496039i
\(130\) 620865. + 333372.i 0.282597 + 0.151740i
\(131\) −1.50567e6 −0.669753 −0.334877 0.942262i \(-0.608695\pi\)
−0.334877 + 0.942262i \(0.608695\pi\)
\(132\) −1.47175e6 + 394356.i −0.639902 + 0.171461i
\(133\) 581351. 1.00693e6i 0.247106 0.428001i
\(134\) −81526.0 + 47069.0i −0.0338830 + 0.0195623i
\(135\) 358861. + 358861.i 0.145856 + 0.145856i
\(136\) −89840.6 + 335290.i −0.0357154 + 0.133292i
\(137\) −387164. 103740.i −0.150568 0.0403446i 0.182748 0.983160i \(-0.441501\pi\)
−0.333316 + 0.942815i \(0.608168\pi\)
\(138\) −1.64381e6 + 1.64381e6i −0.625481 + 0.625481i
\(139\) −349527. 605399.i −0.130148 0.225422i 0.793586 0.608459i \(-0.208212\pi\)
−0.923733 + 0.383036i \(0.874878\pi\)
\(140\) 744268. + 429703.i 0.271235 + 0.156597i
\(141\) 324714. + 1.21185e6i 0.115836 + 0.432305i
\(142\) 3.21690e6i 1.12350i
\(143\) −875381. 2.90553e6i −0.299357 0.993614i
\(144\) 1.60033e6 0.535946
\(145\) 1.54326e6 413514.i 0.506214 0.135640i
\(146\) 521857. 903883.i 0.167685 0.290438i
\(147\) 9.03637e6 5.21715e6i 2.84474 1.64241i
\(148\) 1.10493e6 + 1.10493e6i 0.340840 + 0.340840i
\(149\) −598758. + 2.23460e6i −0.181006 + 0.675523i 0.814444 + 0.580242i \(0.197042\pi\)
−0.995450 + 0.0952818i \(0.969625\pi\)
\(150\) −3.11588e6 834899.i −0.923225 0.247377i
\(151\) −376032. + 376032.i −0.109218 + 0.109218i −0.759604 0.650386i \(-0.774607\pi\)
0.650386 + 0.759604i \(0.274607\pi\)
\(152\) 528363. + 915152.i 0.150453 + 0.260593i
\(153\) −523030. 301972.i −0.146034 0.0843125i
\(154\) 1.32830e6 + 4.95729e6i 0.363693 + 1.35732i
\(155\) 798485.i 0.214423i
\(156\) −74712.4 2.42244e6i −0.0196797 0.638086i
\(157\) −5.94555e6 −1.53636 −0.768181 0.640233i \(-0.778838\pi\)
−0.768181 + 0.640233i \(0.778838\pi\)
\(158\) 1.92249e6 515129.i 0.487408 0.130600i
\(159\) −4.50529e6 + 7.80338e6i −1.12081 + 1.94130i
\(160\) −1.15314e6 + 665763.i −0.281527 + 0.162540i
\(161\) −3.99248e6 3.99248e6i −0.956677 0.956677i
\(162\) 482123. 1.79931e6i 0.113400 0.423214i
\(163\) 544880. + 146000.i 0.125817 + 0.0337124i 0.321178 0.947019i \(-0.395921\pi\)
−0.195361 + 0.980731i \(0.562588\pi\)
\(164\) 1.00766e6 1.00766e6i 0.228446 0.228446i
\(165\) −1.49447e6 2.58850e6i −0.332687 0.576231i
\(166\) −2.56158e6 1.47893e6i −0.559994 0.323313i
\(167\) 1.07668e6 + 4.01821e6i 0.231172 + 0.862746i 0.979837 + 0.199797i \(0.0640284\pi\)
−0.748665 + 0.662948i \(0.769305\pi\)
\(168\) 1.38822e7i 2.92773i
\(169\) 4.81764e6 297452.i 0.998099 0.0616250i
\(170\) −201053. −0.0409228
\(171\) −1.77593e6 + 475859.i −0.355171 + 0.0951678i
\(172\) −347016. + 601049.i −0.0681968 + 0.118120i
\(173\) −2.75990e6 + 1.59343e6i −0.533034 + 0.307748i −0.742251 0.670122i \(-0.766242\pi\)
0.209217 + 0.977869i \(0.432909\pi\)
\(174\) 5.38825e6 + 5.38825e6i 1.02282 + 1.02282i
\(175\) 2.02780e6 7.56786e6i 0.378365 1.41208i
\(176\) −2.21591e6 593752.i −0.406457 0.108910i
\(177\) 4.71987e6 4.71987e6i 0.851158 0.851158i
\(178\) −663361. 1.14898e6i −0.117622 0.203728i
\(179\) −6.65010e6 3.83944e6i −1.15950 0.669435i −0.208313 0.978062i \(-0.566797\pi\)
−0.951183 + 0.308627i \(0.900130\pi\)
\(180\) −351729. 1.31267e6i −0.0603102 0.225081i
\(181\) 3.22097e6i 0.543188i −0.962412 0.271594i \(-0.912449\pi\)
0.962412 0.271594i \(-0.0875508\pi\)
\(182\) −8.15947e6 + 251653.i −1.35347 + 0.0417434i
\(183\) 1.65641e7 2.70281
\(184\) 4.95674e6 1.32815e6i 0.795687 0.213204i
\(185\) −1.53267e6 + 2.65465e6i −0.242065 + 0.419269i
\(186\) 3.29812e6 1.90417e6i 0.512540 0.295915i
\(187\) 612183. + 612183.i 0.0936174 + 0.0936174i
\(188\) 211639. 789846.i 0.0318509 0.118869i
\(189\) −5.67866e6 1.52159e6i −0.841124 0.225379i
\(190\) −432795. + 432795.i −0.0630989 + 0.0630989i
\(191\) 901256. + 1.56102e6i 0.129344 + 0.224031i 0.923423 0.383784i \(-0.125379\pi\)
−0.794078 + 0.607815i \(0.792046\pi\)
\(192\) −9.28708e6 5.36190e6i −1.31213 0.757557i
\(193\) 795631. + 2.96934e6i 0.110673 + 0.413035i 0.998927 0.0463166i \(-0.0147483\pi\)
−0.888254 + 0.459352i \(0.848082\pi\)
\(194\) 6.63370e6i 0.908554i
\(195\) 4.55217e6 1.37148e6i 0.613924 0.184964i
\(196\) −6.80077e6 −0.903212
\(197\) 9.54013e6 2.55627e6i 1.24783 0.334355i 0.426332 0.904567i \(-0.359805\pi\)
0.821498 + 0.570212i \(0.193139\pi\)
\(198\) 4.05774e6 7.02821e6i 0.522744 0.905418i
\(199\) −4.83432e6 + 2.79110e6i −0.613446 + 0.354173i −0.774313 0.632803i \(-0.781904\pi\)
0.160867 + 0.986976i \(0.448571\pi\)
\(200\) 5.03510e6 + 5.03510e6i 0.629387 + 0.629387i
\(201\) −164376. + 613461.i −0.0202419 + 0.0755438i
\(202\) 9.03816e6 + 2.42177e6i 1.09654 + 0.293818i
\(203\) −1.30870e7 + 1.30870e7i −1.56441 + 1.56441i
\(204\) 345727. + 598817.i 0.0407233 + 0.0705348i
\(205\) 2.42096e6 + 1.39774e6i 0.281012 + 0.162242i
\(206\) −534011. 1.99296e6i −0.0610870 0.227980i
\(207\) 8.92836e6i 1.00661i
\(208\) 1.72623e6 3.21489e6i 0.191826 0.357253i
\(209\) 2.63562e6 0.288698
\(210\) −7.76671e6 + 2.08108e6i −0.838647 + 0.224715i
\(211\) −5.39915e6 + 9.35160e6i −0.574749 + 0.995494i 0.421320 + 0.906912i \(0.361567\pi\)
−0.996069 + 0.0885821i \(0.971766\pi\)
\(212\) 5.08601e6 2.93641e6i 0.533789 0.308183i
\(213\) −1.53462e7 1.53462e7i −1.58804 1.58804i
\(214\) −1.39669e6 + 5.21253e6i −0.142515 + 0.531873i
\(215\) −1.31507e6 352372.i −0.132323 0.0354557i
\(216\) 3.77816e6 3.77816e6i 0.374904 0.374904i
\(217\) 4.62485e6 + 8.01047e6i 0.452604 + 0.783933i
\(218\) 5.89728e6 + 3.40480e6i 0.569223 + 0.328641i
\(219\) −1.82245e6 6.80147e6i −0.173509 0.647546i
\(220\) 1.94811e6i 0.182955i
\(221\) −1.17081e6 + 724985.i −0.108470 + 0.0671664i
\(222\) −1.46200e7 −1.33625
\(223\) 838627. 224709.i 0.0756230 0.0202631i −0.220809 0.975317i \(-0.570870\pi\)
0.296432 + 0.955054i \(0.404203\pi\)
\(224\) 7.71224e6 1.33580e7i 0.686177 1.18849i
\(225\) −1.07294e7 + 6.19459e6i −0.941946 + 0.543833i
\(226\) −2.68409e6 2.68409e6i −0.232526 0.232526i
\(227\) −5.26126e6 + 1.96353e7i −0.449792 + 1.67865i 0.253172 + 0.967421i \(0.418526\pi\)
−0.702964 + 0.711226i \(0.748140\pi\)
\(228\) 2.03326e6 + 544811.i 0.171549 + 0.0459665i
\(229\) 6.16858e6 6.16858e6i 0.513664 0.513664i −0.401983 0.915647i \(-0.631679\pi\)
0.915647 + 0.401983i \(0.131679\pi\)
\(230\) 1.48613e6 + 2.57405e6i 0.122144 + 0.211560i
\(231\) 2.99853e7 + 1.73120e7i 2.43261 + 1.40447i
\(232\) −4.35356e6 1.62477e7i −0.348643 1.30115i
\(233\) 1.35981e7i 1.07500i −0.843263 0.537502i \(-0.819368\pi\)
0.843263 0.537502i \(-0.180632\pi\)
\(234\) 9.40486e6 + 8.84209e6i 0.734015 + 0.690093i
\(235\) 1.60408e6 0.123601
\(236\) −4.20227e6 + 1.12599e6i −0.319704 + 0.0856643i
\(237\) 6.71379e6 1.16286e7i 0.504339 0.873541i
\(238\) 2.01699e6 1.16451e6i 0.149614 0.0863796i
\(239\) −875426. 875426.i −0.0641248 0.0641248i 0.674317 0.738442i \(-0.264438\pi\)
−0.738442 + 0.674317i \(0.764438\pi\)
\(240\) 930246. 3.47173e6i 0.0672921 0.251138i
\(241\) 3.66411e6 + 981795.i 0.261768 + 0.0701407i 0.387316 0.921947i \(-0.373402\pi\)
−0.125548 + 0.992088i \(0.540069\pi\)
\(242\) −587306. + 587306.i −0.0414398 + 0.0414398i
\(243\) −9.80044e6 1.69749e7i −0.683009 1.18301i
\(244\) −9.34962e6 5.39801e6i −0.643612 0.371590i
\(245\) −3.45287e6 1.28863e7i −0.234791 0.876253i
\(246\) 1.33329e7i 0.895612i
\(247\) −959693. + 4.08095e6i −0.0636857 + 0.270814i
\(248\) −8.40662e6 −0.551146
\(249\) −1.92752e7 + 5.16477e6i −1.24854 + 0.334544i
\(250\) −4.56811e6 + 7.91220e6i −0.292359 + 0.506381i
\(251\) 2.41782e6 1.39593e6i 0.152898 0.0882757i −0.421599 0.906782i \(-0.638531\pi\)
0.574497 + 0.818507i \(0.305198\pi\)
\(252\) 1.11316e7 + 1.11316e7i 0.695594 + 0.695594i
\(253\) 3.31259e6 1.23628e7i 0.204553 0.763404i
\(254\) 9.80789e6 + 2.62802e6i 0.598514 + 0.160371i
\(255\) −959123. + 959123.i −0.0578434 + 0.0578434i
\(256\) 8.43444e6 + 1.46089e7i 0.502732 + 0.870757i
\(257\) 8.55478e6 + 4.93910e6i 0.503975 + 0.290970i 0.730354 0.683069i \(-0.239355\pi\)
−0.226378 + 0.974039i \(0.572689\pi\)
\(258\) −1.68062e6 6.27217e6i −0.0978614 0.365224i
\(259\) 3.55090e7i 2.04380i
\(260\) −3.01642e6 709353.i −0.171621 0.0403592i
\(261\) 2.92663e7 1.64606
\(262\) −8.86875e6 + 2.37637e6i −0.493126 + 0.132133i
\(263\) 7.81292e6 1.35324e7i 0.429483 0.743887i −0.567344 0.823481i \(-0.692029\pi\)
0.996827 + 0.0795938i \(0.0253623\pi\)
\(264\) −2.72523e7 + 1.57341e7i −1.48112 + 0.855127i
\(265\) 8.14625e6 + 8.14625e6i 0.437744 + 0.437744i
\(266\) 1.83508e6 6.84860e6i 0.0975011 0.363879i
\(267\) −8.64573e6 2.31662e6i −0.454222 0.121708i
\(268\) 292700. 292700.i 0.0152061 0.0152061i
\(269\) 8.28748e6 + 1.43543e7i 0.425761 + 0.737439i 0.996491 0.0836985i \(-0.0266733\pi\)
−0.570731 + 0.821137i \(0.693340\pi\)
\(270\) 2.68017e6 + 1.54739e6i 0.136167 + 0.0786158i
\(271\) 4.29602e6 + 1.60330e7i 0.215853 + 0.805574i 0.985865 + 0.167544i \(0.0535837\pi\)
−0.770012 + 0.638030i \(0.779750\pi\)
\(272\) 1.04107e6i 0.0517337i
\(273\) −3.77241e7 + 4.01251e7i −1.85409 + 1.97210i
\(274\) −2.44422e6 −0.118820
\(275\) 1.71548e7 4.59663e6i 0.824876 0.221025i
\(276\) 5.11103e6 8.85257e6i 0.243098 0.421058i
\(277\) −2.90678e7 + 1.67823e7i −1.36764 + 0.789610i −0.990627 0.136597i \(-0.956384\pi\)
−0.377017 + 0.926206i \(0.623050\pi\)
\(278\) −3.01429e6 3.01429e6i −0.140298 0.140298i
\(279\) 3.78562e6 1.41281e7i 0.174311 0.650538i
\(280\) 1.71444e7 + 4.59383e6i 0.780996 + 0.209267i
\(281\) 4.20270e6 4.20270e6i 0.189413 0.189413i −0.606029 0.795442i \(-0.707239\pi\)
0.795442 + 0.606029i \(0.207239\pi\)
\(282\) 3.82529e6 + 6.62559e6i 0.170575 + 0.295445i
\(283\) −2.31934e7 1.33907e7i −1.02330 0.590805i −0.108245 0.994124i \(-0.534523\pi\)
−0.915059 + 0.403319i \(0.867856\pi\)
\(284\) 3.66105e6 + 1.36632e7i 0.159827 + 0.596483i
\(285\) 4.12929e6i 0.178378i
\(286\) −9.74198e6 1.57327e7i −0.416437 0.672520i
\(287\) −3.23830e7 −1.36984
\(288\) −2.35596e7 + 6.31277e6i −0.986258 + 0.264267i
\(289\) −1.18723e7 + 2.05635e7i −0.491861 + 0.851929i
\(290\) 8.43751e6 4.87140e6i 0.345956 0.199738i
\(291\) −3.16460e7 3.16460e7i −1.28422 1.28422i
\(292\) −1.18782e6 + 4.43300e6i −0.0477091 + 0.178053i
\(293\) 4.37798e7 + 1.17307e7i 1.74049 + 0.466362i 0.982555 0.185973i \(-0.0595438\pi\)
0.757931 + 0.652335i \(0.226210\pi\)
\(294\) 4.49923e7 4.49923e7i 1.77050 1.77050i
\(295\) −4.26713e6 7.39088e6i −0.166215 0.287892i
\(296\) 2.79488e7 + 1.61362e7i 1.07767 + 0.622195i
\(297\) −3.44915e6 1.28724e7i −0.131657 0.491349i
\(298\) 1.41073e7i 0.533085i
\(299\) 1.79361e7 + 9.63076e6i 0.670989 + 0.360286i
\(300\) 1.41844e7 0.525347
\(301\) 1.52339e7 4.08190e6i 0.558612 0.149680i
\(302\) −1.62143e6 + 2.80840e6i −0.0588679 + 0.101962i
\(303\) 5.46694e7 3.15634e7i 1.96525 1.13463i
\(304\) 2.24105e6 + 2.24105e6i 0.0797684 + 0.0797684i
\(305\) 5.48133e6 2.04566e7i 0.193191 0.720997i
\(306\) −3.55737e6 953196.i −0.124155 0.0332673i
\(307\) 9.50157e6 9.50157e6i 0.328383 0.328383i −0.523589 0.851971i \(-0.675407\pi\)
0.851971 + 0.523589i \(0.175407\pi\)
\(308\) −1.12835e7 1.95436e7i −0.386181 0.668885i
\(309\) −1.20549e7 6.95988e6i −0.408589 0.235899i
\(310\) −1.26024e6 4.70327e6i −0.0423027 0.157876i
\(311\) 3.62353e7i 1.20462i 0.798262 + 0.602311i \(0.205753\pi\)
−0.798262 + 0.602311i \(0.794247\pi\)
\(312\) −1.44393e7 4.79262e7i −0.475424 1.57801i
\(313\) 2.57794e7 0.840698 0.420349 0.907363i \(-0.361908\pi\)
0.420349 + 0.907363i \(0.361908\pi\)
\(314\) −3.50208e7 + 9.38379e6i −1.13119 + 0.303102i
\(315\) −1.54408e7 + 2.67442e7i −0.494012 + 0.855653i
\(316\) −7.57919e6 + 4.37585e6i −0.240194 + 0.138676i
\(317\) −1.85929e7 1.85929e7i −0.583674 0.583674i 0.352237 0.935911i \(-0.385421\pi\)
−0.935911 + 0.352237i \(0.885421\pi\)
\(318\) −1.42213e7 + 5.30745e7i −0.442239 + 1.65046i
\(319\) −4.05240e7 1.08584e7i −1.24836 0.334497i
\(320\) −9.69515e6 + 9.69515e6i −0.295872 + 0.295872i
\(321\) 1.82034e7 + 3.15292e7i 0.550349 + 0.953232i
\(322\) −2.98180e7 1.72154e7i −0.893122 0.515644i
\(323\) −309564. 1.15531e6i −0.00918635 0.0342839i
\(324\) 8.19094e6i 0.240823i
\(325\) 870852. + 2.82361e7i 0.0253685 + 0.822534i
\(326\) 3.43990e6 0.0992873
\(327\) 4.43754e7 1.18904e7i 1.26911 0.340057i
\(328\) 1.47157e7 2.54883e7i 0.417022 0.722304i
\(329\) −1.60922e7 + 9.29085e6i −0.451885 + 0.260896i
\(330\) −1.28882e7 1.28882e7i −0.358633 0.358633i
\(331\) 5.15160e6 1.92260e7i 0.142056 0.530159i −0.857813 0.513961i \(-0.828177\pi\)
0.999869 0.0161971i \(-0.00515592\pi\)
\(332\) 1.25630e7 + 3.36625e6i 0.343304 + 0.0919881i
\(333\) −3.97042e7 + 3.97042e7i −1.07524 + 1.07524i
\(334\) 1.26838e7 + 2.19689e7i 0.340415 + 0.589616i
\(335\) 703225. + 406007.i 0.0187051 + 0.0107994i
\(336\) 1.07760e7 + 4.02167e7i 0.284080 + 1.06020i
\(337\) 1.74513e7i 0.455972i −0.973664 0.227986i \(-0.926786\pi\)
0.973664 0.227986i \(-0.0732140\pi\)
\(338\) 2.79076e7 9.35568e6i 0.722724 0.242284i
\(339\) −2.56088e7 −0.657340
\(340\) 853941. 228813.i 0.0217266 0.00582161i
\(341\) −1.04836e7 + 1.81582e7i −0.264392 + 0.457940i
\(342\) −9.70963e6 + 5.60586e6i −0.242730 + 0.140140i
\(343\) 5.85872e7 + 5.85872e7i 1.45185 + 1.45185i
\(344\) −3.70985e6 + 1.38453e7i −0.0911341 + 0.340117i
\(345\) 1.93691e7 + 5.18992e6i 0.471684 + 0.126387i
\(346\) −1.37416e7 + 1.37416e7i −0.331749 + 0.331749i
\(347\) −2.82107e7 4.88624e7i −0.675190 1.16946i −0.976413 0.215910i \(-0.930728\pi\)
0.301223 0.953554i \(-0.402605\pi\)
\(348\) −2.90179e7 1.67535e7i −0.688539 0.397528i
\(349\) −1.25014e7 4.66558e7i −0.294091 1.09756i −0.941937 0.335791i \(-0.890997\pi\)
0.647846 0.761772i \(-0.275670\pi\)
\(350\) 4.77770e7i 1.11433i
\(351\) 2.11874e7 653457.i 0.489954 0.0151111i
\(352\) 3.49643e7 0.801671
\(353\) 9.02976e6 2.41952e6i 0.205283 0.0550053i −0.154712 0.987960i \(-0.549445\pi\)
0.359995 + 0.932954i \(0.382778\pi\)
\(354\) 2.03519e7 3.52505e7i 0.458770 0.794613i
\(355\) −2.40307e7 + 1.38741e7i −0.537132 + 0.310113i
\(356\) 4.12513e6 + 4.12513e6i 0.0914297 + 0.0914297i
\(357\) 4.06674e6 1.51773e7i 0.0893802 0.333572i
\(358\) −4.52305e7 1.21195e7i −0.985784 0.264140i
\(359\) −5.67389e7 + 5.67389e7i −1.22630 + 1.22630i −0.260949 + 0.965353i \(0.584036\pi\)
−0.965353 + 0.260949i \(0.915964\pi\)
\(360\) −1.40334e7 2.43066e7i −0.300784 0.520974i
\(361\) 3.75896e7 + 2.17024e7i 0.798998 + 0.461302i
\(362\) −5.08361e6 1.89723e7i −0.107163 0.399939i
\(363\) 5.60347e6i 0.117149i
\(364\) 3.43696e7 1.03549e7i 0.712639 0.214705i
\(365\) −9.00285e6 −0.185140
\(366\) 9.75668e7 2.61429e7i 1.99003 0.533226i
\(367\) 8.54109e6 1.47936e7i 0.172789 0.299279i −0.766605 0.642119i \(-0.778056\pi\)
0.939394 + 0.342840i \(0.111389\pi\)
\(368\) 1.33287e7 7.69531e6i 0.267450 0.154412i
\(369\) 3.62089e7 + 3.62089e7i 0.720670 + 0.720670i
\(370\) −4.83797e6 + 1.80555e7i −0.0955120 + 0.356456i
\(371\) −1.28907e8 3.45406e7i −2.52438 0.676407i
\(372\) −1.18411e7 + 1.18411e7i −0.230019 + 0.230019i
\(373\) −3.59883e6 6.23336e6i −0.0693482 0.120115i 0.829266 0.558854i \(-0.188759\pi\)
−0.898615 + 0.438739i \(0.855425\pi\)
\(374\) 4.57211e6 + 2.63971e6i 0.0873981 + 0.0504593i
\(375\) 1.59529e7 + 5.95372e7i 0.302515 + 1.12900i
\(376\) 1.68880e7i 0.317699i
\(377\) 3.15687e7 5.87930e7i 0.589160 1.09724i
\(378\) −3.58502e7 −0.663768
\(379\) 3.06199e7 8.20458e6i 0.562453 0.150709i 0.0336201 0.999435i \(-0.489296\pi\)
0.528833 + 0.848726i \(0.322630\pi\)
\(380\) 1.34567e6 2.33078e6i 0.0245239 0.0424766i
\(381\) 5.93253e7 3.42515e7i 1.07267 0.619305i
\(382\) 7.77235e6 + 7.77235e6i 0.139432 + 0.139432i
\(383\) 5.39463e6 2.01330e7i 0.0960207 0.358354i −0.901151 0.433504i \(-0.857277\pi\)
0.997172 + 0.0751500i \(0.0239436\pi\)
\(384\) 1.21447e6 + 325415.i 0.0214482 + 0.00574704i
\(385\) 3.13029e7 3.13029e7i 0.548532 0.548532i
\(386\) 9.37292e6 + 1.62344e7i 0.162972 + 0.282276i
\(387\) −2.15978e7 1.24695e7i −0.372630 0.215138i
\(388\) 7.54961e6 + 2.81755e7i 0.129250 + 0.482366i
\(389\) 1.01669e8i 1.72719i 0.504184 + 0.863596i \(0.331793\pi\)
−0.504184 + 0.863596i \(0.668207\pi\)
\(390\) 2.46488e7 1.52630e7i 0.415530 0.257304i
\(391\) −5.80823e6 −0.0971658
\(392\) −1.35669e8 + 3.63525e7i −2.25229 + 0.603499i
\(393\) −3.09718e7 + 5.36447e7i −0.510256 + 0.883790i
\(394\) 5.21592e7 3.01141e7i 0.852790 0.492358i
\(395\) −1.21396e7 1.21396e7i −0.196975 0.196975i
\(396\) −9.23598e6 + 3.44691e7i −0.148730 + 0.555066i
\(397\) 8.39118e6 + 2.24841e6i 0.134107 + 0.0359339i 0.325248 0.945629i \(-0.394552\pi\)
−0.191141 + 0.981563i \(0.561219\pi\)
\(398\) −2.40702e7 + 2.40702e7i −0.381795 + 0.381795i
\(399\) −2.39170e7 4.14254e7i −0.376519 0.652151i
\(400\) 1.84951e7 + 1.06782e7i 0.288987 + 0.166846i
\(401\) −2.75003e7 1.02633e8i −0.426486 1.59167i −0.760656 0.649155i \(-0.775122\pi\)
0.334169 0.942513i \(-0.391544\pi\)
\(402\) 3.87287e6i 0.0596148i
\(403\) −2.42985e7 2.28445e7i −0.371248 0.349033i
\(404\) −4.11442e7 −0.623971
\(405\) −1.55204e7 + 4.15869e6i −0.233635 + 0.0626024i
\(406\) −5.64306e7 + 9.77406e7i −0.843211 + 1.46048i
\(407\) 6.97080e7 4.02459e7i 1.03395 0.596951i
\(408\) 1.00978e7 + 1.00978e7i 0.148679 + 0.148679i
\(409\) 3.85040e6 1.43699e7i 0.0562776 0.210031i −0.932061 0.362300i \(-0.881991\pi\)
0.988339 + 0.152269i \(0.0486581\pi\)
\(410\) 1.64661e7 + 4.41207e6i 0.238912 + 0.0640163i
\(411\) −1.16601e7 + 1.16601e7i −0.167949 + 0.167949i
\(412\) 4.53624e6 + 7.85700e6i 0.0648642 + 0.112348i
\(413\) 8.56164e7 + 4.94307e7i 1.21537 + 0.701691i
\(414\) 1.40915e7 + 5.25902e7i 0.198590 + 0.741147i
\(415\) 2.55138e7i 0.356970i
\(416\) −1.27313e7 + 5.41382e7i −0.176846 + 0.752010i
\(417\) −2.87593e7 −0.396616
\(418\) 1.55244e7 4.15976e6i 0.212563 0.0569560i
\(419\) 3.40038e7 5.88963e7i 0.462259 0.800655i −0.536815 0.843700i \(-0.680373\pi\)
0.999073 + 0.0430449i \(0.0137058\pi\)
\(420\) 3.06194e7 1.76781e7i 0.413284 0.238610i
\(421\) −6.87030e7 6.87030e7i −0.920724 0.920724i 0.0763570 0.997081i \(-0.475671\pi\)
−0.997081 + 0.0763570i \(0.975671\pi\)
\(422\) −1.70428e7 + 6.36046e7i −0.226780 + 0.846353i
\(423\) 2.83820e7 + 7.60493e6i 0.374992 + 0.100479i
\(424\) 8.57655e7 8.57655e7i 1.12516 1.12516i
\(425\) −4.02981e6 6.97984e6i −0.0524950 0.0909240i
\(426\) −1.14613e8 6.61721e7i −1.48254 0.855945i
\(427\) 6.34960e7 + 2.36970e8i 0.815572 + 3.04376i
\(428\) 2.37289e7i 0.302654i
\(429\) −1.21527e8 2.85787e7i −1.53922 0.361968i
\(430\) −8.30223e6 −0.104421
\(431\) 9.70536e7 2.60054e7i 1.21222 0.324812i 0.404584 0.914501i \(-0.367416\pi\)
0.807631 + 0.589689i \(0.200750\pi\)
\(432\) 8.01253e6 1.38781e7i 0.0993845 0.172139i
\(433\) −4.15723e7 + 2.40018e7i −0.512083 + 0.295651i −0.733689 0.679485i \(-0.762203\pi\)
0.221607 + 0.975136i \(0.428870\pi\)
\(434\) 3.98843e7 + 3.98843e7i 0.487902 + 0.487902i
\(435\) 1.70121e7 6.34900e7i 0.206676 0.771325i
\(436\) −2.89226e7 7.74979e6i −0.348962 0.0935040i
\(437\) −1.25030e7 + 1.25030e7i −0.149820 + 0.149820i
\(438\) −2.14694e7 3.71860e7i −0.255503 0.442545i
\(439\) −9.78649e7 5.65023e7i −1.15673 0.667840i −0.206215 0.978507i \(-0.566114\pi\)
−0.950519 + 0.310666i \(0.899448\pi\)
\(440\) 1.04133e7 + 3.88630e7i 0.122245 + 0.456225i
\(441\) 2.44376e8i 2.84933i
\(442\) −5.75211e6 + 6.11821e6i −0.0666132 + 0.0708529i
\(443\) 1.35440e8 1.55788 0.778941 0.627097i \(-0.215757\pi\)
0.778941 + 0.627097i \(0.215757\pi\)
\(444\) 6.20958e7 1.66385e7i 0.709436 0.190093i
\(445\) −5.72201e6 + 9.91081e6i −0.0649334 + 0.112468i
\(446\) 4.58506e6 2.64719e6i 0.0516822 0.0298387i
\(447\) 6.72989e7 + 6.72989e7i 0.753503 + 0.753503i
\(448\) 4.11080e7 1.53417e8i 0.457185 1.70624i
\(449\) −1.84343e7 4.93946e6i −0.203652 0.0545683i 0.155551 0.987828i \(-0.450285\pi\)
−0.359203 + 0.933260i \(0.616951\pi\)
\(450\) −5.34217e7 + 5.34217e7i −0.586246 + 0.586246i
\(451\) −3.67029e7 6.35713e7i −0.400102 0.692997i
\(452\) 1.44549e7 + 8.34553e6i 0.156531 + 0.0903730i
\(453\) 5.66243e6 + 2.11325e7i 0.0609128 + 0.227330i
\(454\) 1.23960e8i 1.32469i
\(455\) 3.70708e7 + 5.98670e7i 0.393548 + 0.635556i
\(456\) 4.34740e7 0.458496
\(457\) −1.59389e8 + 4.27082e7i −1.66998 + 0.447469i −0.965105 0.261864i \(-0.915663\pi\)
−0.704873 + 0.709334i \(0.748996\pi\)
\(458\) 2.65987e7 4.60703e7i 0.276862 0.479539i
\(459\) −5.23743e6 + 3.02383e6i −0.0541602 + 0.0312694i
\(460\) −9.24154e6 9.24154e6i −0.0949447 0.0949447i
\(461\) −2.58912e7 + 9.66273e7i −0.264271 + 0.986273i 0.698424 + 0.715684i \(0.253885\pi\)
−0.962695 + 0.270589i \(0.912782\pi\)
\(462\) 2.03944e8 + 5.46467e7i 2.06817 + 0.554164i
\(463\) 1.37158e8 1.37158e8i 1.38190 1.38190i 0.540667 0.841236i \(-0.318172\pi\)
0.841236 0.540667i \(-0.181828\pi\)
\(464\) −2.52245e7 4.36901e7i −0.252504 0.437350i
\(465\) −2.84489e7 1.64250e7i −0.282948 0.163360i
\(466\) −2.14617e7 8.00960e7i −0.212083 0.791504i
\(467\) 3.37853e7i 0.331725i −0.986149 0.165862i \(-0.946959\pi\)
0.986149 0.165862i \(-0.0530407\pi\)
\(468\) −5.00085e7 2.68519e7i −0.487872 0.261962i
\(469\) −9.40642e6 −0.0911813
\(470\) 9.44840e6 2.53169e6i 0.0910049 0.0243847i
\(471\) −1.22301e8 + 2.11831e8i −1.17049 + 2.02734i
\(472\) −7.78128e7 + 4.49252e7i −0.739988 + 0.427233i
\(473\) 2.52793e7 + 2.52793e7i 0.238881 + 0.238881i
\(474\) 2.11926e7 7.90917e7i 0.198998 0.742670i
\(475\) −2.36998e7 6.35034e6i −0.221138 0.0592538i
\(476\) −7.24152e6 + 7.24152e6i −0.0671442 + 0.0671442i
\(477\) 1.05516e8 + 1.82759e8i 0.972214 + 1.68392i
\(478\) −6.53815e6 3.77480e6i −0.0598648 0.0345629i
\(479\) −1.19218e7 4.44927e7i −0.108476 0.404839i 0.890240 0.455492i \(-0.150537\pi\)
−0.998716 + 0.0506525i \(0.983870\pi\)
\(480\) 5.47794e7i 0.495329i
\(481\) 3.69338e7 + 1.22589e8i 0.331886 + 1.10158i
\(482\) 2.31321e7 0.206573
\(483\) −2.24372e8 + 6.01204e7i −1.99126 + 0.533556i
\(484\) 1.82609e6 3.16288e6i 0.0161059 0.0278963i
\(485\) −4.95547e7 + 2.86104e7i −0.434370 + 0.250783i
\(486\) −8.45182e7 8.45182e7i −0.736277 0.736277i
\(487\) −4.13444e7 + 1.54299e8i −0.357956 + 1.33591i 0.518767 + 0.854915i \(0.326391\pi\)
−0.876723 + 0.480995i \(0.840276\pi\)
\(488\) −2.15371e8 5.77085e7i −1.85323 0.496570i
\(489\) 1.64100e7 1.64100e7i 0.140340 0.140340i
\(490\) −4.06765e7 7.04538e7i −0.345744 0.598847i
\(491\) 1.04150e8 + 6.01311e7i 0.879863 + 0.507989i 0.870613 0.491968i \(-0.163722\pi\)
0.00924998 + 0.999957i \(0.497056\pi\)
\(492\) −1.51738e7 5.66293e7i −0.127408 0.475495i
\(493\) 1.90388e7i 0.158891i
\(494\) 788086. + 2.55525e7i 0.00653721 + 0.211959i
\(495\) −7.00024e7 −0.577161
\(496\) −2.43539e7 + 6.52562e6i −0.199583 + 0.0534782i
\(497\) 1.60719e8 2.78373e8i 1.30917 2.26755i
\(498\) −1.05384e8 + 6.08436e7i −0.853272 + 0.492637i
\(499\) −6.47841e7 6.47841e7i −0.521395 0.521395i 0.396597 0.917993i \(-0.370191\pi\)
−0.917993 + 0.396597i \(0.870191\pi\)
\(500\) 1.03976e7 3.88046e7i 0.0831812 0.310436i
\(501\) 1.65310e8 + 4.42947e7i 1.31458 + 0.352240i
\(502\) 1.20384e7 1.20384e7i 0.0951603 0.0951603i
\(503\) 8.90246e7 + 1.54195e8i 0.699530 + 1.21162i 0.968630 + 0.248509i \(0.0799405\pi\)
−0.269100 + 0.963112i \(0.586726\pi\)
\(504\) 2.81568e8 + 1.62564e8i 2.19934 + 1.26979i
\(505\) −2.08896e7 7.79612e7i −0.162202 0.605347i
\(506\) 7.80480e7i 0.602435i
\(507\) 8.85017e7 1.77764e8i 0.679090 1.36402i
\(508\) −4.46482e7 −0.340575
\(509\) 1.21969e8 3.26816e7i 0.924905 0.247827i 0.235224 0.971941i \(-0.424418\pi\)
0.689681 + 0.724114i \(0.257751\pi\)
\(510\) −4.13570e6 + 7.16324e6i −0.0311773 + 0.0540007i
\(511\) 9.03174e7 5.21447e7i 0.676875 0.390794i
\(512\) 7.13548e7 + 7.13548e7i 0.531635 + 0.531635i
\(513\) −4.76507e6 + 1.77835e7i −0.0352954 + 0.131724i
\(514\) 5.81850e7 + 1.55906e7i 0.428472 + 0.114809i
\(515\) −1.25845e7 + 1.25845e7i −0.0921331 + 0.0921331i
\(516\) 1.42763e7 + 2.47273e7i 0.103912 + 0.179982i
\(517\) −3.64779e7 2.10605e7i −0.263972 0.152404i
\(518\) −5.60433e7 2.09156e8i −0.403213 1.50481i
\(519\) 1.31108e8i 0.937839i
\(520\) −6.39667e7 + 1.97285e6i −0.454929 + 0.0140309i
\(521\) −1.31649e8 −0.930905 −0.465453 0.885073i \(-0.654108\pi\)
−0.465453 + 0.885073i \(0.654108\pi\)
\(522\) 1.72386e8 4.61907e7i 1.21197 0.324745i
\(523\) 7.27598e6 1.26024e7i 0.0508612 0.0880941i −0.839474 0.543400i \(-0.817137\pi\)
0.890335 + 0.455306i \(0.150470\pi\)
\(524\) 3.49640e7 2.01865e7i 0.243012 0.140303i
\(525\) −2.27919e8 2.27919e8i −1.57508 1.57508i
\(526\) 2.46621e7 9.20401e7i 0.169462 0.632441i
\(527\) 9.19087e6 + 2.46269e6i 0.0627950 + 0.0168259i
\(528\) −6.67361e7 + 6.67361e7i −0.453377 + 0.453377i
\(529\) −3.10852e7 5.38411e7i −0.209984 0.363703i
\(530\) 6.08406e7 + 3.51263e7i 0.408663 + 0.235942i
\(531\) −4.04610e7 1.51002e8i −0.270242 1.00856i
\(532\) 3.11767e7i 0.207060i
\(533\) 1.11797e8 3.36824e7i 0.738329 0.222444i
\(534\) −5.45817e7 −0.358446
\(535\) 4.49622e7 1.20476e7i 0.293620 0.0786753i
\(536\) 4.27453e6 7.40370e6i 0.0277584 0.0480789i
\(537\) −2.73587e8 + 1.57956e8i −1.76674 + 1.02003i
\(538\) 7.14705e7 + 7.14705e7i 0.458966 + 0.458966i
\(539\) −9.06681e7 + 3.38378e8i −0.579013 + 2.16091i
\(540\) −1.31446e7 3.52208e6i −0.0834768 0.0223675i
\(541\) −1.29901e8 + 1.29901e8i −0.820392 + 0.820392i −0.986164 0.165772i \(-0.946988\pi\)
0.165772 + 0.986164i \(0.446988\pi\)
\(542\) 5.06092e7 + 8.76577e7i 0.317857 + 0.550544i
\(543\) −1.14758e8 6.62557e7i −0.716778 0.413832i
\(544\) −4.10669e6 1.53264e7i −0.0255091 0.0952013i
\(545\) 5.87381e7i 0.362852i
\(546\) −1.58875e8 + 2.95886e8i −0.976065 + 1.81780i
\(547\) 1.40207e8 0.856656 0.428328 0.903623i \(-0.359103\pi\)
0.428328 + 0.903623i \(0.359103\pi\)
\(548\) 1.03814e7 2.78170e6i 0.0630835 0.0169032i
\(549\) 1.93970e8 3.35965e8i 1.17224 2.03038i
\(550\) 9.37914e7 5.41505e7i 0.563735 0.325473i
\(551\) 4.09837e7 + 4.09837e7i 0.244995 + 0.244995i
\(552\) 5.46406e7 2.03922e8i 0.324862 1.21240i
\(553\) 1.92098e8 + 5.14725e7i 1.13592 + 0.304368i
\(554\) −1.44729e8 + 1.44729e8i −0.851191 + 0.851191i
\(555\) 6.30543e7 + 1.09213e8i 0.368838 + 0.638846i
\(556\) 1.62332e7 + 9.37223e6i 0.0944450 + 0.0545279i
\(557\) −3.91711e7 1.46189e8i −0.226673 0.845956i −0.981727 0.190293i \(-0.939056\pi\)
0.755054 0.655662i \(-0.227611\pi\)
\(558\) 8.91930e7i 0.513367i
\(559\) −4.83469e7 + 2.99373e7i −0.276779 + 0.171387i
\(560\) 5.32332e7 0.303123
\(561\) 3.44039e7 9.21849e6i 0.194858 0.0522121i
\(562\) 1.81219e7 3.13880e7i 0.102092 0.176829i
\(563\) −1.30583e8 + 7.53920e7i −0.731746 + 0.422474i −0.819061 0.573707i \(-0.805505\pi\)
0.0873144 + 0.996181i \(0.472172\pi\)
\(564\) −2.37876e7 2.37876e7i −0.132591 0.132591i
\(565\) −8.47435e6 + 3.16267e7i −0.0469852 + 0.175351i
\(566\) −1.57749e8 4.22687e7i −0.869996 0.233115i
\(567\) 1.31615e8 1.31615e8i 0.722032 0.722032i
\(568\) 1.46070e8 + 2.53000e8i 0.797104 + 1.38063i
\(569\) −384148. 221788.i −0.00208527 0.00120393i 0.498957 0.866627i \(-0.333717\pi\)
−0.501042 + 0.865423i \(0.667050\pi\)
\(570\) 6.51720e6 + 2.43225e7i 0.0351914 + 0.131336i
\(571\) 7.75206e7i 0.416398i 0.978086 + 0.208199i \(0.0667602\pi\)
−0.978086 + 0.208199i \(0.933240\pi\)
\(572\) 5.92823e7 + 5.57350e7i 0.316765 + 0.297810i
\(573\) 7.41558e7 0.394168
\(574\) −1.90744e8 + 5.11096e7i −1.00859 + 0.270251i
\(575\) −5.95745e7 + 1.03186e8i −0.313369 + 0.542772i
\(576\) −2.17508e8 + 1.25578e8i −1.13817 + 0.657122i
\(577\) 1.09012e8 + 1.09012e8i 0.567477 + 0.567477i 0.931421 0.363944i \(-0.118570\pi\)
−0.363944 + 0.931421i \(0.618570\pi\)
\(578\) −3.74759e7 + 1.39862e8i −0.194075 + 0.724296i
\(579\) 1.22159e8 + 3.27325e7i 0.629348 + 0.168633i
\(580\) −3.02929e7 + 3.02929e7i −0.155259 + 0.155259i
\(581\) −1.47777e8 2.55957e8i −0.753491 1.30508i
\(582\) −2.36349e8 1.36456e8i −1.19890 0.692188i
\(583\) −7.82967e7 2.92207e8i −0.395128 1.47464i
\(584\) 9.47839e7i 0.475878i
\(585\) 2.54896e7 1.08391e8i 0.127320 0.541408i
\(586\) 2.76388e8 1.37349
\(587\) −2.70549e8 + 7.24933e7i −1.33762 + 0.358413i −0.855549 0.517722i \(-0.826780\pi\)
−0.482066 + 0.876135i \(0.660114\pi\)
\(588\) −1.39893e8 + 2.42301e8i −0.688118 + 1.19186i
\(589\) 2.50859e7 1.44834e7i 0.122768 0.0708799i
\(590\) −3.67994e7 3.67994e7i −0.179178 0.179178i
\(591\) 1.05166e8 3.92484e8i 0.509462 1.90134i
\(592\) 9.34931e7 + 2.50514e7i 0.450624 + 0.120744i
\(593\) 2.24720e8 2.24720e8i 1.07765 1.07765i 0.0809317 0.996720i \(-0.474210\pi\)
0.996720 0.0809317i \(-0.0257896\pi\)
\(594\) −4.06327e7 7.03779e7i −0.193872 0.335797i
\(595\) −1.73981e7 1.00448e7i −0.0825943 0.0476859i
\(596\) −1.60551e7 5.99185e7i −0.0758359 0.283023i
\(597\) 2.29653e8i 1.07932i
\(598\) 1.20848e8 + 2.84192e7i 0.565116 + 0.132895i
\(599\) −1.89014e8 −0.879457 −0.439728 0.898131i \(-0.644925\pi\)
−0.439728 + 0.898131i \(0.644925\pi\)
\(600\) 2.82966e8 7.58205e7i 1.31003 0.351021i
\(601\) −1.60503e8 + 2.78000e8i −0.739368 + 1.28062i 0.213413 + 0.976962i \(0.431542\pi\)
−0.952780 + 0.303660i \(0.901791\pi\)
\(602\) 8.32887e7 4.80868e7i 0.381765 0.220412i
\(603\) 1.05178e7 + 1.05178e7i 0.0479701 + 0.0479701i
\(604\) 3.69061e6 1.37735e7i 0.0167489 0.0625078i
\(605\) 6.92024e6 + 1.85427e6i 0.0312504 + 0.00837351i
\(606\) 2.72200e8 2.72200e8i 1.22312 1.22312i
\(607\) −6.47784e7 1.12199e8i −0.289644 0.501677i 0.684081 0.729406i \(-0.260203\pi\)
−0.973725 + 0.227729i \(0.926870\pi\)
\(608\) −4.18324e7 2.41519e7i −0.186124 0.107459i
\(609\) 1.97069e8 + 7.35472e8i 0.872502 + 3.25622i
\(610\) 1.29145e8i 0.568970i
\(611\) 4.58923e7 4.88132e7i 0.201195 0.214000i
\(612\) 1.61942e7 0.0706487
\(613\) 1.68194e8 4.50675e7i 0.730180 0.195651i 0.125470 0.992097i \(-0.459956\pi\)
0.604709 + 0.796446i \(0.293289\pi\)
\(614\) 4.09704e7 7.09628e7i 0.176997 0.306567i
\(615\) 9.95988e7 5.75034e7i 0.428182 0.247211i
\(616\) −3.29563e8 3.29563e8i −1.40993 1.40993i
\(617\) 8.12698e6 3.03303e7i 0.0345998 0.129128i −0.946466 0.322804i \(-0.895374\pi\)
0.981066 + 0.193676i \(0.0620411\pi\)
\(618\) −8.19908e7 2.19694e7i −0.347376 0.0930791i
\(619\) 1.32206e8 1.32206e8i 0.557414 0.557414i −0.371156 0.928570i \(-0.621039\pi\)
0.928570 + 0.371156i \(0.121039\pi\)
\(620\) 1.07053e7 + 1.85421e7i 0.0449184 + 0.0778009i
\(621\) 7.74272e7 + 4.47026e7i 0.323310 + 0.186663i
\(622\) 5.71897e7 + 2.13435e8i 0.237655 + 0.886939i
\(623\) 1.32568e8i 0.548245i
\(624\) −7.90330e7 1.27634e8i −0.325278 0.525305i
\(625\) −1.22103e8 −0.500132
\(626\) 1.51847e8 4.06873e7i 0.618989 0.165858i
\(627\) 5.42150e7 9.39032e7i 0.219947 0.380959i
\(628\) 1.38065e8 7.97121e7i 0.557450 0.321844i
\(629\) −2.58290e7 2.58290e7i −0.103790 0.103790i
\(630\) −4.87399e7 + 1.81900e8i −0.194923 + 0.727462i
\(631\) −4.57632e7 1.22622e7i −0.182150 0.0488068i 0.166591 0.986026i \(-0.446724\pi\)
−0.348741 + 0.937219i \(0.613391\pi\)
\(632\) −1.27808e8 + 1.27808e8i −0.506298 + 0.506298i
\(633\) 2.22123e8 + 3.84728e8i 0.875753 + 1.51685i
\(634\) −1.38862e8 8.01719e7i −0.544898 0.314597i
\(635\) −2.26687e7 8.46007e7i −0.0885330 0.330410i
\(636\) 2.41610e8i 0.939167i
\(637\) −4.90925e8 2.63601e8i −1.89932 1.01983i
\(638\) −2.55834e8 −0.985136
\(639\) −4.90969e8 + 1.31555e8i −1.88170 + 0.504201i
\(640\) 803771. 1.39217e6i 0.00306614 0.00531072i
\(641\) −1.55805e8 + 8.99538e7i −0.591570 + 0.341543i −0.765718 0.643176i \(-0.777616\pi\)
0.174148 + 0.984719i \(0.444283\pi\)
\(642\) 1.56985e8 + 1.56985e8i 0.593270 + 0.593270i
\(643\) −551397. + 2.05784e6i −0.00207411 + 0.00774068i −0.966955 0.254947i \(-0.917942\pi\)
0.964881 + 0.262687i \(0.0846088\pi\)
\(644\) 1.46239e8 + 3.91847e7i 0.547528 + 0.146710i
\(645\) −3.96057e7 + 3.96057e7i −0.147597 + 0.147597i
\(646\) −3.64681e6 6.31647e6i −0.0135275 0.0234302i
\(647\) 2.57470e8 + 1.48650e8i 0.950634 + 0.548849i 0.893278 0.449505i \(-0.148400\pi\)
0.0573560 + 0.998354i \(0.481733\pi\)
\(648\) 4.37835e7 + 1.63402e8i 0.160911 + 0.600528i
\(649\) 2.24099e8i 0.819797i
\(650\) 4.96941e7 + 1.64943e8i 0.180953 + 0.600611i
\(651\) 3.80535e8 1.37928
\(652\) −1.46104e7 + 3.91485e6i −0.0527132 + 0.0141245i
\(653\) −8.83620e7 + 1.53047e8i −0.317341 + 0.549651i −0.979932 0.199330i \(-0.936123\pi\)
0.662591 + 0.748981i \(0.269457\pi\)
\(654\) 2.42616e8 1.40074e8i 0.867333 0.500755i
\(655\) 5.60018e7 + 5.60018e7i 0.199287 + 0.199287i
\(656\) 2.28460e7 8.52625e7i 0.0809281 0.302028i
\(657\) −1.59293e8 4.26826e7i −0.561697 0.150506i
\(658\) −8.01235e7 + 8.01235e7i −0.281243 + 0.281243i
\(659\) −1.57139e8 2.72172e8i −0.549069 0.951015i −0.998339 0.0576191i \(-0.981649\pi\)
0.449270 0.893396i \(-0.351684\pi\)
\(660\) 6.94081e7 + 4.00728e7i 0.241423 + 0.139386i
\(661\) 1.31352e8 + 4.90212e8i 0.454812 + 1.69738i 0.688640 + 0.725103i \(0.258208\pi\)
−0.233829 + 0.972278i \(0.575125\pi\)
\(662\) 1.21377e8i 0.418371i
\(663\) 1.74649e6 + 5.66272e7i 0.00599273 + 0.194305i
\(664\) 2.68615e8 0.917542
\(665\) −5.90746e7 + 1.58290e7i −0.200879 + 0.0538255i
\(666\) −1.71203e8 + 2.96532e8i −0.579547 + 1.00380i
\(667\) 2.43751e8 1.40730e8i 0.821427 0.474251i
\(668\) −7.88743e7 7.88743e7i −0.264610 0.264610i
\(669\) 9.24461e6 3.45013e7i 0.0308752 0.115228i
\(670\) 4.78296e6 + 1.28159e6i 0.0159028 + 0.00426113i
\(671\) −3.93232e8 + 3.93232e8i −1.30161 + 1.30161i
\(672\) −3.17284e8 5.49551e8i −1.04554 1.81093i
\(673\) −3.50156e8 2.02162e8i −1.14872 0.663216i −0.200148 0.979766i \(-0.564142\pi\)
−0.948576 + 0.316549i \(0.897476\pi\)
\(674\) −2.75432e7 1.02792e8i −0.0899568 0.335723i
\(675\) 1.24061e8i 0.403388i
\(676\) −1.07885e8 + 7.14974e7i −0.349239 + 0.231446i
\(677\) −5.26969e8 −1.69832 −0.849160 0.528136i \(-0.822891\pi\)
−0.849160 + 0.528136i \(0.822891\pi\)
\(678\) −1.50842e8 + 4.04180e7i −0.483987 + 0.129684i
\(679\) 3.31425e8 5.74044e8i 1.05871 1.83373i
\(680\) 1.58123e7 9.12924e6i 0.0502885 0.0290341i
\(681\) 5.91351e8 + 5.91351e8i 1.87242 + 1.87242i
\(682\) −3.30923e7 + 1.23502e8i −0.104322 + 0.389333i
\(683\) −1.82383e8 4.88693e7i −0.572429 0.153382i −0.0390189 0.999238i \(-0.512423\pi\)
−0.533411 + 0.845856i \(0.679090\pi\)
\(684\) 3.48601e7 3.48601e7i 0.108933 0.108933i
\(685\) 1.05417e7 + 1.82587e7i 0.0327973 + 0.0568065i
\(686\) 4.37561e8 + 2.52626e8i 1.35540 + 0.782538i
\(687\) −9.28889e7 3.46666e8i −0.286480 1.06916i
\(688\) 4.29896e7i 0.132007i
\(689\) 4.80960e8 1.48337e7i 1.47045 0.0453514i
\(690\) 1.22280e8 0.372226
\(691\) 3.63265e8 9.73365e7i 1.10101 0.295013i 0.337831 0.941207i \(-0.390307\pi\)
0.763174 + 0.646193i \(0.223640\pi\)
\(692\) 4.27263e7 7.40041e7i 0.128937 0.223325i
\(693\) 7.02270e8 4.05456e8i 2.11011 1.21827i
\(694\) −2.43287e8 2.43287e8i −0.727848 0.727848i
\(695\) −9.51689e6 + 3.55175e7i −0.0283492 + 0.105801i
\(696\) −6.68436e8 1.79107e8i −1.98259 0.531232i
\(697\) −2.35552e7 + 2.35552e7i −0.0695647 + 0.0695647i
\(698\) −1.47272e8 2.55083e8i −0.433067 0.750094i
\(699\) −4.84480e8 2.79714e8i −1.41855 0.818999i
\(700\) 5.43735e7 + 2.02925e8i 0.158523 + 0.591617i
\(701\) 4.53376e8i 1.31615i −0.752954 0.658073i \(-0.771372\pi\)
0.752954 0.658073i \(-0.228628\pi\)
\(702\) 1.23767e8 3.72888e7i 0.357763 0.107787i
\(703\) −1.11201e8 −0.320069
\(704\) 3.47766e8 9.31837e7i 0.996712 0.267068i
\(705\) 3.29961e7 5.71509e7i 0.0941662 0.163101i
\(706\) 4.93688e7 2.85031e7i 0.140294 0.0809987i
\(707\) 6.61120e8 + 6.61120e8i 1.87078 + 1.87078i
\(708\) −4.63237e7 + 1.72882e8i −0.130528 + 0.487137i
\(709\) 5.22169e7 + 1.39915e7i 0.146512 + 0.0392577i 0.331330 0.943515i \(-0.392503\pi\)
−0.184818 + 0.982773i \(0.559169\pi\)
\(710\) −1.19649e8 + 1.19649e8i −0.334299 + 0.334299i
\(711\) −1.57240e8 2.72347e8i −0.437475 0.757730i
\(712\) 1.04343e8 + 6.02425e7i 0.289084 + 0.166903i
\(713\) −3.64070e7 1.35873e8i −0.100442 0.374855i
\(714\) 9.58163e7i 0.263236i
\(715\) −7.55095e7 + 1.40627e8i −0.206578 + 0.384726i
\(716\) 2.05902e8 0.560945
\(717\) −4.91978e7 + 1.31825e7i −0.133471 + 0.0357636i
\(718\) −2.44656e8 + 4.23756e8i −0.660970 + 1.14483i
\(719\) −2.73888e8 + 1.58129e8i −0.736861 + 0.425427i −0.820927 0.571033i \(-0.806543\pi\)
0.0840657 + 0.996460i \(0.473209\pi\)
\(720\) −5.95226e7 5.95226e7i −0.159472 0.159472i
\(721\) 5.33592e7 1.99139e8i 0.142365 0.531314i
\(722\) 2.55664e8 + 6.85051e7i 0.679295 + 0.182017i
\(723\) 1.10351e8 1.10351e8i 0.291986 0.291986i
\(724\) 4.31835e7 + 7.47961e7i 0.113790 + 0.197089i
\(725\) 3.38234e8 + 1.95280e8i 0.887572 + 0.512440i
\(726\) 8.84388e6 + 3.30058e7i 0.0231118 + 0.0862542i
\(727\) 2.63153e8i 0.684866i 0.939542 + 0.342433i \(0.111251\pi\)
−0.939542 + 0.342433i \(0.888749\pi\)
\(728\) 6.30293e8 3.90289e8i 1.63361 1.01156i
\(729\) −5.83696e8 −1.50662
\(730\) −5.30290e7 + 1.42091e7i −0.136315 + 0.0365256i
\(731\) 8.11188e6 1.40502e7i 0.0207668 0.0359691i
\(732\) −3.84646e8 + 2.22075e8i −0.980682 + 0.566197i
\(733\) −4.60409e7 4.60409e7i −0.116905 0.116905i 0.646234 0.763139i \(-0.276343\pi\)
−0.763139 + 0.646234i \(0.776343\pi\)
\(734\) 2.69606e7 1.00618e8i 0.0681775 0.254442i
\(735\) −5.30145e8 1.42052e8i −1.33516 0.357755i
\(736\) −1.65866e8 + 1.65866e8i −0.416028 + 0.416028i
\(737\) −1.06612e7 1.84658e7i −0.0266321 0.0461282i
\(738\) 2.70427e8 + 1.56131e8i 0.672793 + 0.388437i
\(739\) −9.27244e6 3.46052e7i −0.0229753 0.0857449i 0.953486 0.301436i \(-0.0974661\pi\)
−0.976462 + 0.215692i \(0.930799\pi\)
\(740\) 8.21938e7i 0.202836i
\(741\) 1.25657e8 + 1.18138e8i 0.308840 + 0.290360i
\(742\) −8.13810e8 −1.99210
\(743\) −4.50262e8 + 1.20647e8i −1.09774 + 0.294138i −0.761843 0.647762i \(-0.775705\pi\)
−0.335894 + 0.941900i \(0.609039\pi\)
\(744\) −1.72925e8 + 2.99516e8i −0.419894 + 0.727278i
\(745\) 1.05384e8 6.08434e7i 0.254862 0.147145i
\(746\) −3.10360e7 3.10360e7i −0.0747566 0.0747566i
\(747\) −1.20961e8 + 4.51433e8i −0.290191 + 1.08301i
\(748\) −2.24234e7 6.00834e6i −0.0535793 0.0143565i
\(749\) −3.81284e8 + 3.81284e8i −0.907410 + 0.907410i
\(750\) 1.87933e8 + 3.25510e8i 0.445472 + 0.771580i
\(751\) 1.83433e8 + 1.05905e8i 0.433069 + 0.250032i 0.700653 0.713502i \(-0.252892\pi\)
−0.267584 + 0.963534i \(0.586225\pi\)
\(752\) −1.31093e7 4.89246e7i −0.0308266 0.115047i
\(753\) 1.14858e8i 0.269014i
\(754\) 9.31554e7 3.96130e8i 0.217317 0.924109i
\(755\) 2.79722e7 0.0649960
\(756\) 1.52268e8 4.08000e7i 0.352405 0.0944267i
\(757\) −6.25279e7 + 1.08301e8i −0.144141 + 0.249659i −0.929052 0.369949i \(-0.879375\pi\)
0.784911 + 0.619608i \(0.212708\pi\)
\(758\) 1.67410e8 9.66540e7i 0.384391 0.221928i
\(759\) −3.72327e8 3.72327e8i −0.851528 0.851528i
\(760\) 1.43862e7 5.36901e7i 0.0327722 0.122308i
\(761\) 1.03565e8 + 2.77502e7i 0.234996 + 0.0629670i 0.374395 0.927269i \(-0.377850\pi\)
−0.139399 + 0.990236i \(0.544517\pi\)
\(762\) 2.95382e8 2.95382e8i 0.667604 0.667604i
\(763\) 3.40212e8 + 5.89265e8i 0.765908 + 1.32659i