Properties

Label 27.6.e.a.4.1
Level 27
Weight 6
Character 27.4
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-9.69504 - 3.52870i) q^{2} +(-5.72592 + 14.4988i) q^{3} +(57.0285 + 47.8526i) q^{4} +(2.39953 - 13.6084i) q^{5} +(106.675 - 120.361i) q^{6} +(-83.8831 + 70.3863i) q^{7} +(-218.960 - 379.250i) q^{8} +(-177.428 - 166.037i) q^{9} +O(q^{10})\) \(q+(-9.69504 - 3.52870i) q^{2} +(-5.72592 + 14.4988i) q^{3} +(57.0285 + 47.8526i) q^{4} +(2.39953 - 13.6084i) q^{5} +(106.675 - 120.361i) q^{6} +(-83.8831 + 70.3863i) q^{7} +(-218.960 - 379.250i) q^{8} +(-177.428 - 166.037i) q^{9} +(-71.2837 + 123.467i) q^{10} +(-96.8959 - 549.524i) q^{11} +(-1020.34 + 552.843i) q^{12} +(857.851 - 312.232i) q^{13} +(1061.62 - 386.399i) q^{14} +(183.566 + 112.711i) q^{15} +(370.891 + 2103.42i) q^{16} +(-249.360 + 431.905i) q^{17} +(1134.27 + 2235.83i) q^{18} +(-1431.28 - 2479.06i) q^{19} +(788.041 - 661.245i) q^{20} +(-540.206 - 1619.23i) q^{21} +(-999.698 + 5669.57i) q^{22} +(-296.790 - 249.036i) q^{23} +(6752.40 - 1003.10i) q^{24} +(2757.11 + 1003.51i) q^{25} -9418.67 q^{26} +(3423.27 - 1621.77i) q^{27} -8151.90 q^{28} +(-612.595 - 222.966i) q^{29} +(-1381.95 - 1740.49i) q^{30} +(-4646.87 - 3899.19i) q^{31} +(1393.16 - 7900.99i) q^{32} +(8522.23 + 1741.66i) q^{33} +(3941.62 - 3307.41i) q^{34} +(756.567 + 1310.41i) q^{35} +(-2173.13 - 17959.3i) q^{36} +(325.245 - 563.342i) q^{37} +(5128.49 + 29085.1i) q^{38} +(-385.003 + 14225.6i) q^{39} +(-5686.40 + 2069.68i) q^{40} +(3373.52 - 1227.86i) q^{41} +(-476.456 + 17604.7i) q^{42} +(-2554.34 - 14486.4i) q^{43} +(20770.3 - 35975.3i) q^{44} +(-2685.25 + 2016.10i) q^{45} +(1998.61 + 3461.70i) q^{46} +(-11740.4 + 9851.33i) q^{47} +(-32620.7 - 6666.58i) q^{48} +(-836.357 + 4743.22i) q^{49} +(-23189.2 - 19458.0i) q^{50} +(-4834.27 - 6088.47i) q^{51} +(63863.1 + 23244.3i) q^{52} -23094.4 q^{53} +(-38911.5 + 3643.38i) q^{54} -7710.66 q^{55} +(45061.1 + 16400.9i) q^{56} +(44138.7 - 6556.97i) q^{57} +(5152.35 + 4323.33i) q^{58} +(275.757 - 1563.90i) q^{59} +(5074.97 + 15211.9i) q^{60} +(-2312.74 + 1940.62i) q^{61} +(31292.5 + 54200.2i) q^{62} +(26569.9 + 1439.24i) q^{63} +(-7213.00 + 12493.3i) q^{64} +(-2190.55 - 12423.2i) q^{65} +(-76477.5 - 46957.9i) q^{66} +(-6273.22 + 2283.26i) q^{67} +(-34888.4 + 12698.4i) q^{68} +(5310.10 - 2877.12i) q^{69} +(-2710.89 - 15374.2i) q^{70} +(17842.3 - 30903.7i) q^{71} +(-24120.0 + 103645. i) q^{72} +(-23277.3 - 40317.4i) q^{73} +(-5141.13 + 4313.92i) q^{74} +(-30336.5 + 34228.6i) q^{75} +(37005.4 - 209868. i) q^{76} +(46806.9 + 39275.6i) q^{77} +(53930.5 - 136559. i) q^{78} +(-13869.7 - 5048.14i) q^{79} +29514.3 q^{80} +(3912.24 + 58919.3i) q^{81} -37039.2 q^{82} +(-68860.4 - 25063.1i) q^{83} +(46677.1 - 118192. i) q^{84} +(5279.20 + 4429.78i) q^{85} +(-26353.8 + 149460. i) q^{86} +(6740.40 - 7605.18i) q^{87} +(-187191. + 157072. i) q^{88} +(-17010.4 - 29462.9i) q^{89} +(33147.8 - 10070.7i) q^{90} +(-49982.4 + 86572.0i) q^{91} +(-5008.45 - 28404.3i) q^{92} +(83141.0 - 45047.4i) q^{93} +(148586. - 54080.7i) q^{94} +(-37170.5 + 13529.0i) q^{95} +(106577. + 65439.4i) q^{96} +(-2400.03 - 13611.3i) q^{97} +(24845.9 - 43034.4i) q^{98} +(-74049.4 + 113589. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.69504 3.52870i −1.71386 0.623793i −0.716577 0.697508i \(-0.754292\pi\)
−0.997279 + 0.0737152i \(0.976514\pi\)
\(3\) −5.72592 + 14.4988i −0.367318 + 0.930096i
\(4\) 57.0285 + 47.8526i 1.78214 + 1.49539i
\(5\) 2.39953 13.6084i 0.0429242 0.243435i −0.955795 0.294034i \(-0.905002\pi\)
0.998719 + 0.0505992i \(0.0161131\pi\)
\(6\) 106.675 120.361i 1.20972 1.36492i
\(7\) −83.8831 + 70.3863i −0.647038 + 0.542929i −0.906170 0.422913i \(-0.861008\pi\)
0.259133 + 0.965842i \(0.416563\pi\)
\(8\) −218.960 379.250i −1.20960 2.09508i
\(9\) −177.428 166.037i −0.730156 0.683281i
\(10\) −71.2837 + 123.467i −0.225419 + 0.390437i
\(11\) −96.8959 549.524i −0.241448 1.36932i −0.828599 0.559842i \(-0.810862\pi\)
0.587151 0.809477i \(-0.300249\pi\)
\(12\) −1020.34 + 552.843i −2.04547 + 1.10828i
\(13\) 857.851 312.232i 1.40784 0.512412i 0.477345 0.878716i \(-0.341599\pi\)
0.930495 + 0.366304i \(0.119377\pi\)
\(14\) 1061.62 386.399i 1.44760 0.526885i
\(15\) 183.566 + 112.711i 0.210651 + 0.129342i
\(16\) 370.891 + 2103.42i 0.362198 + 2.05413i
\(17\) −249.360 + 431.905i −0.209269 + 0.362465i −0.951485 0.307697i \(-0.900442\pi\)
0.742215 + 0.670161i \(0.233775\pi\)
\(18\) 1134.27 + 2235.83i 0.825156 + 1.62651i
\(19\) −1431.28 2479.06i −0.909582 1.57544i −0.814645 0.579960i \(-0.803068\pi\)
−0.0949374 0.995483i \(-0.530265\pi\)
\(20\) 788.041 661.245i 0.440529 0.369647i
\(21\) −540.206 1619.23i −0.267308 0.801234i
\(22\) −999.698 + 5669.57i −0.440364 + 2.49743i
\(23\) −296.790 249.036i −0.116985 0.0981618i 0.582419 0.812889i \(-0.302106\pi\)
−0.699403 + 0.714727i \(0.746551\pi\)
\(24\) 6752.40 1003.10i 2.39293 0.355479i
\(25\) 2757.11 + 1003.51i 0.882274 + 0.321122i
\(26\) −9418.67 −2.73248
\(27\) 3423.27 1621.77i 0.903716 0.428133i
\(28\) −8151.90 −1.96501
\(29\) −612.595 222.966i −0.135263 0.0492317i 0.273502 0.961872i \(-0.411818\pi\)
−0.408765 + 0.912640i \(0.634040\pi\)
\(30\) −1381.95 1740.49i −0.280343 0.353076i
\(31\) −4646.87 3899.19i −0.868473 0.728736i 0.0953028 0.995448i \(-0.469618\pi\)
−0.963776 + 0.266713i \(0.914063\pi\)
\(32\) 1393.16 7900.99i 0.240506 1.36398i
\(33\) 8522.23 + 1741.66i 1.36229 + 0.278405i
\(34\) 3941.62 3307.41i 0.584760 0.490672i
\(35\) 756.567 + 1310.41i 0.104394 + 0.180816i
\(36\) −2173.13 17959.3i −0.279466 2.30957i
\(37\) 325.245 563.342i 0.0390577 0.0676500i −0.845836 0.533443i \(-0.820898\pi\)
0.884893 + 0.465794i \(0.154231\pi\)
\(38\) 5128.49 + 29085.1i 0.576144 + 3.26747i
\(39\) −385.003 + 14225.6i −0.0405325 + 1.49764i
\(40\) −5686.40 + 2069.68i −0.561937 + 0.204528i
\(41\) 3373.52 1227.86i 0.313418 0.114075i −0.180522 0.983571i \(-0.557779\pi\)
0.493940 + 0.869496i \(0.335556\pi\)
\(42\) −476.456 + 17604.7i −0.0416773 + 1.53994i
\(43\) −2554.34 14486.4i −0.210672 1.19478i −0.888260 0.459341i \(-0.848086\pi\)
0.677588 0.735442i \(-0.263025\pi\)
\(44\) 20770.3 35975.3i 1.61738 2.80138i
\(45\) −2685.25 + 2016.10i −0.197676 + 0.148416i
\(46\) 1998.61 + 3461.70i 0.139262 + 0.241209i
\(47\) −11740.4 + 9851.33i −0.775241 + 0.650504i −0.942045 0.335486i \(-0.891100\pi\)
0.166804 + 0.985990i \(0.446655\pi\)
\(48\) −32620.7 6666.58i −2.04357 0.417638i
\(49\) −836.357 + 4743.22i −0.0497624 + 0.282217i
\(50\) −23189.2 19458.0i −1.31178 1.10071i
\(51\) −4834.27 6088.47i −0.260259 0.327780i
\(52\) 63863.1 + 23244.3i 3.27523 + 1.19209i
\(53\) −23094.4 −1.12932 −0.564661 0.825323i \(-0.690993\pi\)
−0.564661 + 0.825323i \(0.690993\pi\)
\(54\) −38911.5 + 3643.38i −1.81591 + 0.170028i
\(55\) −7710.66 −0.343704
\(56\) 45061.1 + 16400.9i 1.92013 + 0.698871i
\(57\) 44138.7 6556.97i 1.79942 0.267311i
\(58\) 5152.35 + 4323.33i 0.201111 + 0.168752i
\(59\) 275.757 1563.90i 0.0103133 0.0584895i −0.979217 0.202816i \(-0.934991\pi\)
0.989530 + 0.144327i \(0.0461017\pi\)
\(60\) 5074.97 + 15211.9i 0.181993 + 0.545512i
\(61\) −2312.74 + 1940.62i −0.0795798 + 0.0667754i −0.681710 0.731623i \(-0.738763\pi\)
0.602130 + 0.798398i \(0.294319\pi\)
\(62\) 31292.5 + 54200.2i 1.03386 + 1.79070i
\(63\) 26569.9 + 1439.24i 0.843411 + 0.0456859i
\(64\) −7213.00 + 12493.3i −0.220123 + 0.381264i
\(65\) −2190.55 12423.2i −0.0643087 0.364713i
\(66\) −76477.5 46957.9i −2.16110 1.32693i
\(67\) −6273.22 + 2283.26i −0.170727 + 0.0621397i −0.425970 0.904737i \(-0.640067\pi\)
0.255242 + 0.966877i \(0.417845\pi\)
\(68\) −34888.4 + 12698.4i −0.914975 + 0.333024i
\(69\) 5310.10 2877.12i 0.134270 0.0727504i
\(70\) −2710.89 15374.2i −0.0661251 0.375014i
\(71\) 17842.3 30903.7i 0.420053 0.727554i −0.575891 0.817527i \(-0.695345\pi\)
0.995944 + 0.0899727i \(0.0286780\pi\)
\(72\) −24120.0 + 103645.i −0.548336 + 2.35623i
\(73\) −23277.3 40317.4i −0.511240 0.885494i −0.999915 0.0130284i \(-0.995853\pi\)
0.488675 0.872466i \(-0.337481\pi\)
\(74\) −5141.13 + 4313.92i −0.109139 + 0.0915784i
\(75\) −30336.5 + 34228.6i −0.622749 + 0.702646i
\(76\) 37005.4 209868.i 0.734904 4.16785i
\(77\) 46806.9 + 39275.6i 0.899669 + 0.754912i
\(78\) 53930.5 136559.i 1.00369 2.54146i
\(79\) −13869.7 5048.14i −0.250033 0.0910047i 0.213963 0.976842i \(-0.431363\pi\)
−0.463997 + 0.885837i \(0.653585\pi\)
\(80\) 29514.3 0.515593
\(81\) 3912.24 + 58919.3i 0.0662542 + 0.997803i
\(82\) −37039.2 −0.608313
\(83\) −68860.4 25063.1i −1.09717 0.399337i −0.270898 0.962608i \(-0.587321\pi\)
−0.826272 + 0.563271i \(0.809543\pi\)
\(84\) 46677.1 118192.i 0.721781 1.82764i
\(85\) 5279.20 + 4429.78i 0.0792539 + 0.0665020i
\(86\) −26353.8 + 149460.i −0.384235 + 2.17910i
\(87\) 6740.40 7605.18i 0.0954746 0.107724i
\(88\) −187191. + 157072.i −2.57678 + 2.16217i
\(89\) −17010.4 29462.9i −0.227636 0.394276i 0.729471 0.684011i \(-0.239766\pi\)
−0.957107 + 0.289735i \(0.906433\pi\)
\(90\) 33147.8 10070.7i 0.431369 0.131055i
\(91\) −49982.4 + 86572.0i −0.632722 + 1.09591i
\(92\) −5008.45 28404.3i −0.0616927 0.349877i
\(93\) 83141.0 45047.4i 0.996799 0.540086i
\(94\) 148586. 54080.7i 1.73443 0.631281i
\(95\) −37170.5 + 13529.0i −0.422561 + 0.153800i
\(96\) 106577. + 65439.4i 1.18029 + 0.724705i
\(97\) −2400.03 13611.3i −0.0258993 0.146882i 0.969116 0.246606i \(-0.0793152\pi\)
−0.995015 + 0.0997236i \(0.968204\pi\)
\(98\) 24845.9 43034.4i 0.261331 0.452638i
\(99\) −74049.4 + 113589.i −0.759335 + 1.16479i
\(100\) 109213. + 189163.i 1.09213 + 1.89163i
\(101\) 43863.4 36805.8i 0.427858 0.359015i −0.403285 0.915074i \(-0.632132\pi\)
0.831143 + 0.556059i \(0.187687\pi\)
\(102\) 25384.0 + 76086.6i 0.241579 + 0.724115i
\(103\) −32503.5 + 184337.i −0.301882 + 1.71206i 0.335948 + 0.941881i \(0.390943\pi\)
−0.637830 + 0.770177i \(0.720168\pi\)
\(104\) −306249. 256974.i −2.77646 2.32973i
\(105\) −23331.4 + 3465.97i −0.206522 + 0.0306797i
\(106\) 223901. + 81493.4i 1.93549 + 0.704463i
\(107\) 200880. 1.69620 0.848100 0.529837i \(-0.177747\pi\)
0.848100 + 0.529837i \(0.177747\pi\)
\(108\) 272830. + 71325.5i 2.25078 + 0.588417i
\(109\) 12021.0 0.0969112 0.0484556 0.998825i \(-0.484570\pi\)
0.0484556 + 0.998825i \(0.484570\pi\)
\(110\) 74755.2 + 27208.7i 0.589060 + 0.214400i
\(111\) 6305.42 + 7941.30i 0.0485743 + 0.0611764i
\(112\) −179164. 150336.i −1.34960 1.13245i
\(113\) 15916.3 90265.8i 0.117259 0.665008i −0.868348 0.495955i \(-0.834818\pi\)
0.985607 0.169053i \(-0.0540709\pi\)
\(114\) −451064. 92182.2i −3.25069 0.664332i
\(115\) −4101.15 + 3441.27i −0.0289175 + 0.0242647i
\(116\) −24265.9 42029.7i −0.167437 0.290009i
\(117\) −204049. 87036.6i −1.37806 0.587810i
\(118\) −8192.00 + 14189.0i −0.0541608 + 0.0938092i
\(119\) −9483.06 53781.1i −0.0613876 0.348147i
\(120\) 2552.06 94296.6i 0.0161785 0.597782i
\(121\) −141249. + 51410.5i −0.877046 + 0.319219i
\(122\) 29270.0 10653.4i 0.178042 0.0648021i
\(123\) −1514.04 + 55942.5i −0.00902348 + 0.333411i
\(124\) −78417.9 444730.i −0.457995 2.59742i
\(125\) 41863.1 72509.0i 0.239638 0.415066i
\(126\) −252518. 107711.i −1.41699 0.604413i
\(127\) −20231.1 35041.3i −0.111304 0.192784i 0.804992 0.593285i \(-0.202169\pi\)
−0.916296 + 0.400501i \(0.868836\pi\)
\(128\) −82652.8 + 69353.9i −0.445895 + 0.374150i
\(129\) 224661. + 45913.1i 1.18865 + 0.242919i
\(130\) −22600.4 + 128173.i −0.117289 + 0.665181i
\(131\) 130779. + 109737.i 0.665827 + 0.558695i 0.911827 0.410575i \(-0.134672\pi\)
−0.246000 + 0.969270i \(0.579116\pi\)
\(132\) 402667. + 507135.i 2.01146 + 2.53331i
\(133\) 294552. + 107208.i 1.44389 + 0.525532i
\(134\) 68876.0 0.331365
\(135\) −13855.5 50476.8i −0.0654314 0.238373i
\(136\) 218400. 1.01252
\(137\) −136395. 49643.9i −0.620867 0.225977i 0.0123844 0.999923i \(-0.496058\pi\)
−0.633251 + 0.773946i \(0.718280\pi\)
\(138\) −61634.2 + 9156.00i −0.275501 + 0.0409268i
\(139\) 9016.32 + 7565.59i 0.0395815 + 0.0332128i 0.662364 0.749182i \(-0.269553\pi\)
−0.622782 + 0.782395i \(0.713998\pi\)
\(140\) −19560.8 + 110935.i −0.0843463 + 0.478351i
\(141\) −75607.7 226628.i −0.320272 0.959990i
\(142\) −282032. + 236653.i −1.17375 + 0.984897i
\(143\) −254701. 441156.i −1.04158 1.80406i
\(144\) 283441. 434788.i 1.13908 1.74731i
\(145\) −4504.17 + 7801.45i −0.0177908 + 0.0308145i
\(146\) 83405.8 + 473018.i 0.323828 + 1.83652i
\(147\) −63981.9 39285.4i −0.244210 0.149947i
\(148\) 45505.6 16562.7i 0.170770 0.0621551i
\(149\) 459419. 167215.i 1.69529 0.617034i 0.700011 0.714132i \(-0.253178\pi\)
0.995275 + 0.0970984i \(0.0309562\pi\)
\(150\) 414897. 224799.i 1.50561 0.815768i
\(151\) −45732.1 259360.i −0.163222 0.925679i −0.950879 0.309564i \(-0.899817\pi\)
0.787656 0.616115i \(-0.211294\pi\)
\(152\) −626789. + 1.08563e6i −2.20045 + 3.81130i
\(153\) 115956. 35228.8i 0.400464 0.121666i
\(154\) −315202. 545946.i −1.07100 1.85502i
\(155\) −64212.2 + 53880.4i −0.214678 + 0.180137i
\(156\) −702688. + 792841.i −2.31180 + 2.60840i
\(157\) −13277.5 + 75300.3i −0.0429899 + 0.243808i −0.998729 0.0504087i \(-0.983948\pi\)
0.955739 + 0.294217i \(0.0950587\pi\)
\(158\) 116653. + 97883.9i 0.371753 + 0.311938i
\(159\) 132237. 334840.i 0.414820 1.05038i
\(160\) −104177. 37917.4i −0.321716 0.117095i
\(161\) 42424.4 0.128988
\(162\) 169979. 585029.i 0.508872 1.75142i
\(163\) −466161. −1.37425 −0.687126 0.726538i \(-0.741128\pi\)
−0.687126 + 0.726538i \(0.741128\pi\)
\(164\) 251144. + 91408.8i 0.729143 + 0.265386i
\(165\) 44150.6 111795.i 0.126249 0.319678i
\(166\) 579163. + 485976.i 1.63129 + 1.36881i
\(167\) −64044.4 + 363214.i −0.177701 + 1.00779i 0.757279 + 0.653092i \(0.226528\pi\)
−0.934980 + 0.354701i \(0.884583\pi\)
\(168\) −495808. + 559419.i −1.35532 + 1.52920i
\(169\) 353992. 297035.i 0.953405 0.800002i
\(170\) −35550.7 61575.6i −0.0943464 0.163413i
\(171\) −157666. + 677500.i −0.412334 + 1.77182i
\(172\) 547541. 948370.i 1.41122 2.44431i
\(173\) −35489.4 201271.i −0.0901537 0.511287i −0.996125 0.0879482i \(-0.971969\pi\)
0.905971 0.423339i \(-0.139142\pi\)
\(174\) −92184.9 + 49947.6i −0.230827 + 0.125067i
\(175\) −301908. + 109885.i −0.745211 + 0.271235i
\(176\) 1.11994e6 407626.i 2.72530 0.991929i
\(177\) 21095.6 + 12952.9i 0.0506125 + 0.0310765i
\(178\) 60950.7 + 345669.i 0.144188 + 0.817730i
\(179\) −137490. + 238139.i −0.320729 + 0.555519i −0.980639 0.195826i \(-0.937261\pi\)
0.659910 + 0.751345i \(0.270595\pi\)
\(180\) −249612. 13521.0i −0.574227 0.0311047i
\(181\) −186526. 323073.i −0.423198 0.733000i 0.573052 0.819519i \(-0.305759\pi\)
−0.996250 + 0.0865184i \(0.972426\pi\)
\(182\) 790068. 662945.i 1.76801 1.48354i
\(183\) −14894.0 44643.7i −0.0328764 0.0985446i
\(184\) −29461.8 + 167086.i −0.0641528 + 0.363828i
\(185\) −6885.76 5777.84i −0.0147919 0.0124118i
\(186\) −965014. + 143357.i −2.04527 + 0.303833i
\(187\) 261504. + 95179.7i 0.546858 + 0.199040i
\(188\) −1.14095e6 −2.35435
\(189\) −173004. + 376990.i −0.352292 + 0.767672i
\(190\) 408109. 0.820148
\(191\) −327802. 119310.i −0.650172 0.236643i −0.00418448 0.999991i \(-0.501332\pi\)
−0.645987 + 0.763348i \(0.723554\pi\)
\(192\) −139836. 176115.i −0.273757 0.344781i
\(193\) 417845. + 350613.i 0.807461 + 0.677540i 0.950000 0.312249i \(-0.101082\pi\)
−0.142539 + 0.989789i \(0.545527\pi\)
\(194\) −24761.7 + 140431.i −0.0472363 + 0.267891i
\(195\) 192664. + 39374.1i 0.362839 + 0.0741522i
\(196\) −274672. + 230477.i −0.510709 + 0.428536i
\(197\) 367998. + 637392.i 0.675586 + 1.17015i 0.976297 + 0.216434i \(0.0694425\pi\)
−0.300712 + 0.953715i \(0.597224\pi\)
\(198\) 1.11873e6 839952.i 2.02798 1.52262i
\(199\) −148012. + 256364.i −0.264950 + 0.458907i −0.967551 0.252678i \(-0.918689\pi\)
0.702601 + 0.711585i \(0.252022\pi\)
\(200\) −223117. 1.26536e6i −0.394419 2.23686i
\(201\) 2815.42 104028.i 0.00491533 0.181618i
\(202\) −555134. + 202052.i −0.957237 + 0.348406i
\(203\) 67080.2 24415.2i 0.114249 0.0415834i
\(204\) 15657.9 578549.i 0.0263426 0.973340i
\(205\) −8614.40 48854.7i −0.0143166 0.0811936i
\(206\) 965592. 1.67245e6i 1.58535 2.74591i
\(207\) 11309.5 + 93464.1i 0.0183449 + 0.151607i
\(208\) 974926. + 1.68862e6i 1.56248 + 2.70629i
\(209\) −1.22362e6 + 1.02674e6i −1.93767 + 1.62590i
\(210\) 238429. + 48726.9i 0.373088 + 0.0762466i
\(211\) 35664.8 202265.i 0.0551485 0.312763i −0.944738 0.327826i \(-0.893684\pi\)
0.999887 + 0.0150635i \(0.00479503\pi\)
\(212\) −1.31704e6 1.10513e6i −2.01261 1.68878i
\(213\) 345902. + 435643.i 0.522402 + 0.657933i
\(214\) −1.94754e6 708845.i −2.90704 1.05808i
\(215\) −203266. −0.299895
\(216\) −1.36461e6 943173.i −1.99010 1.37549i
\(217\) 664244. 0.957587
\(218\) −116544. 42418.5i −0.166092 0.0604525i
\(219\) 717837. 106637.i 1.01138 0.150245i
\(220\) −439728. 368976.i −0.612530 0.513974i
\(221\) −79059.4 + 448368.i −0.108886 + 0.617525i
\(222\) −33108.8 99241.2i −0.0450880 0.135148i
\(223\) 711913. 597366.i 0.958660 0.804411i −0.0220744 0.999756i \(-0.507027\pi\)
0.980735 + 0.195345i \(0.0625826\pi\)
\(224\) 439259. + 760819.i 0.584926 + 1.01312i
\(225\) −322568. 635832.i −0.424781 0.837310i
\(226\) −472830. + 818966.i −0.615792 + 1.06658i
\(227\) 9017.23 + 51139.2i 0.0116147 + 0.0658703i 0.990064 0.140616i \(-0.0449083\pi\)
−0.978450 + 0.206486i \(0.933797\pi\)
\(228\) 2.83093e6 + 1.73822e6i 3.60655 + 2.21445i
\(229\) 341867. 124430.i 0.430793 0.156796i −0.117517 0.993071i \(-0.537493\pi\)
0.548310 + 0.836275i \(0.315271\pi\)
\(230\) 51904.0 18891.5i 0.0646966 0.0235476i
\(231\) −837460. + 453752.i −1.03260 + 0.559486i
\(232\) 49573.9 + 281147.i 0.0604690 + 0.342937i
\(233\) 36118.8 62559.5i 0.0435856 0.0754925i −0.843410 0.537271i \(-0.819455\pi\)
0.886995 + 0.461779i \(0.152789\pi\)
\(234\) 1.67113e6 + 1.56385e6i 1.99513 + 1.86705i
\(235\) 105890. + 183406.i 0.125079 + 0.216643i
\(236\) 90562.5 75991.0i 0.105845 0.0888141i
\(237\) 152608. 172188.i 0.176485 0.199127i
\(238\) −97839.0 + 554872.i −0.111962 + 0.634966i
\(239\) 739765. + 620737.i 0.837721 + 0.702931i 0.957050 0.289924i \(-0.0936299\pi\)
−0.119329 + 0.992855i \(0.538074\pi\)
\(240\) −168996. + 427920.i −0.189387 + 0.479551i
\(241\) −576627. 209875.i −0.639518 0.232765i 0.00185085 0.999998i \(-0.499411\pi\)
−0.641369 + 0.767233i \(0.721633\pi\)
\(242\) 1.55083e6 1.70226
\(243\) −876657. 280644.i −0.952388 0.304888i
\(244\) −224756. −0.241678
\(245\) 62540.9 + 22763.0i 0.0665655 + 0.0242279i
\(246\) 212083. 537022.i 0.223444 0.565789i
\(247\) −2.00187e6 1.67977e6i −2.08782 1.75189i
\(248\) −461288. + 2.61609e6i −0.476258 + 2.70100i
\(249\) 757673. 854880.i 0.774432 0.873790i
\(250\) −661727. + 555255.i −0.669621 + 0.561879i
\(251\) 498086. + 862709.i 0.499022 + 0.864331i 0.999999 0.00112899i \(-0.000359368\pi\)
−0.500977 + 0.865460i \(0.667026\pi\)
\(252\) 1.44637e6 + 1.35352e6i 1.43476 + 1.34265i
\(253\) −108094. + 187224.i −0.106169 + 0.183890i
\(254\) 72490.9 + 411116.i 0.0705016 + 0.399835i
\(255\) −94454.5 + 51177.3i −0.0909645 + 0.0492864i
\(256\) 1.47984e6 538619.i 1.41129 0.513667i
\(257\) −1.59660e6 + 581114.i −1.50787 + 0.548818i −0.958083 0.286489i \(-0.907512\pi\)
−0.549783 + 0.835308i \(0.685289\pi\)
\(258\) −2.01608e6 1.23789e6i −1.88564 1.15780i
\(259\) 12368.9 + 70147.7i 0.0114573 + 0.0649776i
\(260\) 469560. 813302.i 0.430782 0.746137i
\(261\) 71670.7 + 141274.i 0.0651239 + 0.128369i
\(262\) −880682. 1.52539e6i −0.792622 1.37286i
\(263\) 1.48755e6 1.24820e6i 1.32611 1.11274i 0.341145 0.940011i \(-0.389185\pi\)
0.984969 0.172731i \(-0.0552592\pi\)
\(264\) −1.20550e6 3.61341e6i −1.06453 3.19086i
\(265\) −55415.9 + 314279.i −0.0484752 + 0.274917i
\(266\) −2.47739e6 2.07878e6i −2.14679 1.80137i
\(267\) 524576. 77927.8i 0.450329 0.0668982i
\(268\) −467013. 169979.i −0.397184 0.144563i
\(269\) −1.70606e6 −1.43752 −0.718758 0.695261i \(-0.755289\pi\)
−0.718758 + 0.695261i \(0.755289\pi\)
\(270\) −43788.7 + 538267.i −0.0365555 + 0.449353i
\(271\) 1.65207e6 1.36648 0.683242 0.730192i \(-0.260569\pi\)
0.683242 + 0.730192i \(0.260569\pi\)
\(272\) −1.00096e6 364321.i −0.820345 0.298581i
\(273\) −968991. 1.22039e6i −0.786888 0.991038i
\(274\) 1.14718e6 + 962599.i 0.923114 + 0.774585i
\(275\) 284298. 1.61233e6i 0.226695 1.28565i
\(276\) 440505. + 90024.5i 0.348079 + 0.0711358i
\(277\) 346476. 290728.i 0.271315 0.227660i −0.496971 0.867767i \(-0.665554\pi\)
0.768286 + 0.640107i \(0.221110\pi\)
\(278\) −60716.8 105165.i −0.0471191 0.0816127i
\(279\) 177074. + 1.46338e6i 0.136189 + 1.12550i
\(280\) 331316. 573856.i 0.252550 0.437429i
\(281\) −215161. 1.22024e6i −0.162554 0.921889i −0.951551 0.307492i \(-0.900510\pi\)
0.788997 0.614397i \(-0.210601\pi\)
\(282\) −66685.2 + 2.46397e6i −0.0499352 + 1.84507i
\(283\) 787593. 286660.i 0.584569 0.212766i −0.0327700 0.999463i \(-0.510433\pi\)
0.617339 + 0.786697i \(0.288211\pi\)
\(284\) 2.49634e6 908595.i 1.83658 0.668459i
\(285\) 16682.1 616392.i 0.0121658 0.449516i
\(286\) 912630. + 5.17578e6i 0.659751 + 3.74163i
\(287\) −196557. + 340447.i −0.140859 + 0.243975i
\(288\) −1.55904e6 + 1.17054e6i −1.10759 + 0.831581i
\(289\) 585567. + 1.01423e6i 0.412413 + 0.714320i
\(290\) 71197.1 59741.4i 0.0497127 0.0417139i
\(291\) 211089. + 43139.4i 0.146128 + 0.0298636i
\(292\) 601826. 3.41312e6i 0.413061 2.34258i
\(293\) 1.39201e6 + 1.16804e6i 0.947269 + 0.794853i 0.978836 0.204649i \(-0.0656051\pi\)
−0.0315665 + 0.999502i \(0.510050\pi\)
\(294\) 481680. + 606647.i 0.325005 + 0.409324i
\(295\) −20620.5 7505.24i −0.0137957 0.00502122i
\(296\) −284863. −0.188976
\(297\) −1.22290e6 1.72403e6i −0.804452 1.13410i
\(298\) −5.04413e6 −3.29038
\(299\) −332358. 120969.i −0.214995 0.0782518i
\(300\) −3.36798e6 + 500326.i −2.16056 + 0.320960i
\(301\) 1.23391e6 + 1.03537e6i 0.784995 + 0.658689i
\(302\) −471829. + 2.67588e6i −0.297692 + 1.68830i
\(303\) 282480. + 846712.i 0.176759 + 0.529821i
\(304\) 4.68366e6 3.93006e6i 2.90671 2.43902i
\(305\) 20859.3 + 36129.4i 0.0128396 + 0.0222388i
\(306\) −1.24851e6 67629.1i −0.762233 0.0412886i
\(307\) −876252. + 1.51771e6i −0.530619 + 0.919060i 0.468742 + 0.883335i \(0.344707\pi\)
−0.999362 + 0.0357249i \(0.988626\pi\)
\(308\) 789886. + 4.47966e6i 0.474447 + 2.69072i
\(309\) −2.48654e6 1.52676e6i −1.48149 0.909648i
\(310\) 812668. 295787.i 0.480296 0.174813i
\(311\) 3.11397e6 1.13339e6i 1.82563 0.664475i 0.831601 0.555374i \(-0.187425\pi\)
0.994031 0.109101i \(-0.0347973\pi\)
\(312\) 5.47935e6 2.96882e6i 3.18671 1.72662i
\(313\) −89841.8 509518.i −0.0518344 0.293967i 0.947860 0.318687i \(-0.103242\pi\)
−0.999694 + 0.0247196i \(0.992131\pi\)
\(314\) 394438. 683187.i 0.225764 0.391035i
\(315\) 83341.3 358122.i 0.0473243 0.203355i
\(316\) −549400. 951588.i −0.309507 0.536082i
\(317\) −245423. + 205935.i −0.137173 + 0.115102i −0.708792 0.705417i \(-0.750760\pi\)
0.571620 + 0.820519i \(0.306315\pi\)
\(318\) −2.46359e6 + 2.77967e6i −1.36616 + 1.54143i
\(319\) −63167.4 + 358240.i −0.0347549 + 0.197105i
\(320\) 152706. + 128136.i 0.0833646 + 0.0699512i
\(321\) −1.15022e6 + 2.91251e6i −0.623044 + 1.57763i
\(322\) −411306. 149703.i −0.221068 0.0804620i
\(323\) 1.42762e6 0.761390
\(324\) −2.59633e6 + 3.54729e6i −1.37403 + 1.87730i
\(325\) 2.67851e6 1.40665
\(326\) 4.51944e6 + 1.64494e6i 2.35527 + 0.857249i
\(327\) −68831.1 + 174289.i −0.0355972 + 0.0901367i
\(328\) −1.20433e6 1.01056e6i −0.618105 0.518652i
\(329\) 291419. 1.65272e6i 0.148432 0.841801i
\(330\) −822533. + 928062.i −0.415785 + 0.469129i
\(331\) −839322. + 704275.i −0.421074 + 0.353323i −0.828572 0.559883i \(-0.810846\pi\)
0.407497 + 0.913206i \(0.366402\pi\)
\(332\) −2.72767e6 4.72446e6i −1.35815 2.35238i
\(333\) −151243. + 45949.6i −0.0747421 + 0.0227076i
\(334\) 1.90259e6 3.29538e6i 0.933208 1.61636i
\(335\) 16018.9 + 90847.4i 0.00779865 + 0.0442283i
\(336\) 3.20556e6 1.73684e6i 1.54902 0.839288i
\(337\) −2.99065e6 + 1.08851e6i −1.43447 + 0.522104i −0.938209 0.346070i \(-0.887516\pi\)
−0.496260 + 0.868174i \(0.665294\pi\)
\(338\) −4.48012e6 + 1.63063e6i −2.13303 + 0.776361i
\(339\) 1.21761e6 + 747620.i 0.575450 + 0.353331i
\(340\) 89088.7 + 505247.i 0.0417951 + 0.237032i
\(341\) −1.69243e6 + 2.93138e6i −0.788181 + 1.36517i
\(342\) 3.91928e6 6.01203e6i 1.81193 2.77943i
\(343\) −1.18390e6 2.05057e6i −0.543349 0.941109i
\(344\) −4.93466e6 + 4.14068e6i −2.24834 + 1.88658i
\(345\) −26411.3 79166.0i −0.0119466 0.0358089i
\(346\) −366153. + 2.07656e6i −0.164427 + 0.932510i
\(347\) −3.09851e6 2.59996e6i −1.38143 1.15916i −0.968680 0.248312i \(-0.920124\pi\)
−0.412749 0.910845i \(-0.635431\pi\)
\(348\) 748323. 111166.i 0.331239 0.0492068i
\(349\) 1.27938e6 + 465657.i 0.562260 + 0.204646i 0.607485 0.794331i \(-0.292178\pi\)
−0.0452256 + 0.998977i \(0.514401\pi\)
\(350\) 3.31476e6 1.44638
\(351\) 2.43029e6 2.46009e6i 1.05291 1.06582i
\(352\) −4.47677e6 −1.92579
\(353\) 1.72852e6 + 629130.i 0.738309 + 0.268722i 0.683678 0.729784i \(-0.260379\pi\)
0.0546312 + 0.998507i \(0.482602\pi\)
\(354\) −158816. 200019.i −0.0673573 0.0848325i
\(355\) −377738. 316960.i −0.159082 0.133485i
\(356\) 439798. 2.49422e6i 0.183920 1.04306i
\(357\) 834058. + 170453.i 0.346358 + 0.0707840i
\(358\) 2.17329e6 1.82361e6i 0.896212 0.752011i
\(359\) 503759. + 872537.i 0.206294 + 0.357312i 0.950544 0.310589i \(-0.100526\pi\)
−0.744250 + 0.667901i \(0.767193\pi\)
\(360\) 1.35257e6 + 576936.i 0.550052 + 0.234623i
\(361\) −2.85910e6 + 4.95211e6i −1.15468 + 1.99997i
\(362\) 668350. + 3.79040e6i 0.268060 + 1.52025i
\(363\) 63392.6 2.34231e6i 0.0252506 0.932991i
\(364\) −6.99312e6 + 2.54529e6i −2.76642 + 1.00689i
\(365\) −604512. + 220024.i −0.237505 + 0.0864448i
\(366\) −13136.4 + 485379.i −0.00512593 + 0.189399i
\(367\) 119042. + 675122.i 0.0461356 + 0.261648i 0.999147 0.0412852i \(-0.0131452\pi\)
−0.953012 + 0.302933i \(0.902034\pi\)
\(368\) 413752. 716640.i 0.159265 0.275855i
\(369\) −802428. 342274.i −0.306789 0.130860i
\(370\) 46369.4 + 80314.2i 0.0176087 + 0.0304992i
\(371\) 1.93723e6 1.62553e6i 0.730713 0.613141i
\(372\) 6.89705e6 + 1.40952e6i 2.58408 + 0.528099i
\(373\) 703793. 3.99141e6i 0.261923 1.48544i −0.515735 0.856748i \(-0.672481\pi\)
0.777657 0.628688i \(-0.216408\pi\)
\(374\) −2.19943e6 1.84554e6i −0.813076 0.682252i
\(375\) 811586. + 1.02214e6i 0.298028 + 0.375348i
\(376\) 6.30679e6 + 2.29548e6i 2.30059 + 0.837345i
\(377\) −595133. −0.215655
\(378\) 3.00757e6 3.04445e6i 1.08265 1.09592i
\(379\) 2.74335e6 0.981034 0.490517 0.871432i \(-0.336808\pi\)
0.490517 + 0.871432i \(0.336808\pi\)
\(380\) −2.76718e6 1.00717e6i −0.983055 0.357803i
\(381\) 623897. 92682.3i 0.220191 0.0327103i
\(382\) 2.75704e6 + 2.31343e6i 0.966685 + 0.811145i
\(383\) 24114.1 136758.i 0.00839992 0.0476383i −0.980320 0.197417i \(-0.936745\pi\)
0.988720 + 0.149778i \(0.0478560\pi\)
\(384\) −532283. 1.59548e6i −0.184210 0.552157i
\(385\) 646795. 542725.i 0.222390 0.186607i
\(386\) −2.81381e6 4.87366e6i −0.961227 1.66489i
\(387\) −1.95207e6 + 2.99440e6i −0.662549 + 1.01633i
\(388\) 514464. 891078.i 0.173490 0.300494i
\(389\) −169122. 959141.i −0.0566666 0.321372i 0.943277 0.332007i \(-0.107726\pi\)
−0.999943 + 0.0106349i \(0.996615\pi\)
\(390\) −1.72895e6 1.06159e6i −0.575599 0.353423i
\(391\) 181567. 66085.1i 0.0600615 0.0218606i
\(392\) 1.98199e6 721387.i 0.651459 0.237112i
\(393\) −2.33988e6 + 1.26779e6i −0.764210 + 0.414064i
\(394\) −1.31859e6 7.47810e6i −0.427927 2.42689i
\(395\) −101978. + 176631.i −0.0328862 + 0.0569606i
\(396\) −9.65847e6 + 2.93436e6i −3.09507 + 0.940320i
\(397\) 50591.7 + 87627.5i 0.0161103 + 0.0279038i 0.873968 0.485983i \(-0.161538\pi\)
−0.857858 + 0.513887i \(0.828205\pi\)
\(398\) 2.33961e6 1.96317e6i 0.740349 0.621227i
\(399\) −3.24097e6 + 3.65678e6i −1.01916 + 1.14992i
\(400\) −1.08821e6 + 6.17156e6i −0.340066 + 1.92861i
\(401\) −1.01746e6 853746.i −0.315976 0.265136i 0.470981 0.882144i \(-0.343900\pi\)
−0.786957 + 0.617008i \(0.788345\pi\)
\(402\) −394378. + 998617.i −0.121716 + 0.308201i
\(403\) −5.20378e6 1.89402e6i −1.59608 0.580927i
\(404\) 4.26272e6 1.29937
\(405\) 811187. + 88139.3i 0.245744 + 0.0267013i
\(406\) −736499. −0.221747
\(407\) −341085. 124145.i −0.102065 0.0371485i
\(408\) −1.25054e6 + 3.16653e6i −0.371918 + 0.941744i
\(409\) −3.56781e6 2.99375e6i −1.05461 0.884926i −0.0610428 0.998135i \(-0.519443\pi\)
−0.993571 + 0.113209i \(0.963887\pi\)
\(410\) −88876.9 + 504046.i −0.0261113 + 0.148085i
\(411\) 1.50076e6 1.69331e6i 0.438236 0.494460i
\(412\) −1.06746e7 + 8.95707e6i −3.09820 + 2.59970i
\(413\) 86945.4 + 150594.i 0.0250826 + 0.0434443i
\(414\) 220161. 946045.i 0.0631307 0.271276i
\(415\) −506303. + 876942.i −0.144308 + 0.249949i
\(416\) −1.27182e6 7.21286e6i −0.360324 2.04350i
\(417\) −161318. + 87405.5i −0.0454301 + 0.0246149i
\(418\) 1.54860e7 5.63646e6i 4.33511 1.57785i
\(419\) 3.82052e6 1.39056e6i 1.06313 0.386949i 0.249529 0.968367i \(-0.419724\pi\)
0.813605 + 0.581418i \(0.197502\pi\)
\(420\) −1.49641e6 918809.i −0.413931 0.254157i
\(421\) 553322. + 3.13804e6i 0.152150 + 0.862887i 0.961345 + 0.275346i \(0.0887925\pi\)
−0.809195 + 0.587540i \(0.800096\pi\)
\(422\) −1.05951e6 + 1.83512e6i −0.289616 + 0.501629i
\(423\) 3.71875e6 + 201437.i 1.01052 + 0.0547380i
\(424\) 5.05676e6 + 8.75856e6i 1.36602 + 2.36602i
\(425\) −1.12093e6 + 940574.i −0.301028 + 0.252593i
\(426\) −1.81628e6 5.44416e6i −0.484907 1.45347i
\(427\) 57406.9 325571.i 0.0152368 0.0864124i
\(428\) 1.14559e7 + 9.61263e6i 3.02287 + 2.53649i
\(429\) 7.85460e6 1.16683e6i 2.06054 0.306101i
\(430\) 1.97067e6 + 717267.i 0.513977 + 0.187072i
\(431\) −2.47673e6 −0.642221 −0.321111 0.947042i \(-0.604056\pi\)
−0.321111 + 0.947042i \(0.604056\pi\)
\(432\) 4.68092e6 + 6.59909e6i 1.20676 + 1.70128i
\(433\) 5.22487e6 1.33923 0.669616 0.742707i \(-0.266459\pi\)
0.669616 + 0.742707i \(0.266459\pi\)
\(434\) −6.43987e6 2.34392e6i −1.64117 0.597335i
\(435\) −87320.8 109975.i −0.0221256 0.0278658i
\(436\) 685539. + 575236.i 0.172709 + 0.144920i
\(437\) −192584. + 1.09220e6i −0.0482411 + 0.273589i
\(438\) −7.33574e6 1.49918e6i −1.82709 0.373395i
\(439\) −3.84435e6 + 3.22579e6i −0.952054 + 0.798869i −0.979642 0.200751i \(-0.935662\pi\)
0.0275879 + 0.999619i \(0.491217\pi\)
\(440\) 1.68833e6 + 2.92427e6i 0.415743 + 0.720088i
\(441\) 935944. 702712.i 0.229168 0.172060i
\(442\) 2.34864e6 4.06797e6i 0.571823 0.990426i
\(443\) −1.36957e6 7.76722e6i −0.331570 1.88043i −0.458781 0.888549i \(-0.651714\pi\)
0.127211 0.991876i \(-0.459397\pi\)
\(444\) −20422.9 + 754612.i −0.00491655 + 0.181663i
\(445\) −441761. + 160788.i −0.105752 + 0.0384905i
\(446\) −9.00995e6 + 3.27935e6i −2.14479 + 0.780640i
\(447\) −206187. + 7.61846e6i −0.0488082 + 1.80343i
\(448\) −274307. 1.55567e6i −0.0645716 0.366204i
\(449\) −2.64392e6 + 4.57940e6i −0.618917 + 1.07200i 0.370767 + 0.928726i \(0.379095\pi\)
−0.989684 + 0.143269i \(0.954238\pi\)
\(450\) 883646. + 7.30267e6i 0.205706 + 1.70000i
\(451\) −1.00162e6 1.73486e6i −0.231879 0.401627i
\(452\) 5.22714e6 4.38609e6i 1.20342 1.00979i
\(453\) 4.02225e6 + 822013.i 0.920924 + 0.188206i
\(454\) 93032.9 527616.i 0.0211835 0.120137i
\(455\) 1.05817e6 + 887914.i 0.239623 + 0.201068i
\(456\) −1.21513e7 1.53039e7i −2.73660 3.44659i
\(457\) 2.46930e6 + 898753.i 0.553075 + 0.201303i 0.603412 0.797429i \(-0.293807\pi\)
−0.0503373 + 0.998732i \(0.516030\pi\)
\(458\) −3.75349e6 −0.836126
\(459\) −153179. + 1.88293e6i −0.0339366 + 0.417160i
\(460\) −398556. −0.0878204
\(461\) 2.03390e6 + 740278.i 0.445735 + 0.162234i 0.555129 0.831764i \(-0.312669\pi\)
−0.109394 + 0.993998i \(0.534891\pi\)
\(462\) 9.72036e6 1.44400e6i 2.11874 0.314747i
\(463\) −1.52818e6 1.28230e6i −0.331301 0.277995i 0.461929 0.886917i \(-0.347158\pi\)
−0.793230 + 0.608922i \(0.791602\pi\)
\(464\) 241787. 1.37124e6i 0.0521361 0.295679i
\(465\) −413526. 1.23951e6i −0.0886890 0.265839i
\(466\) −570927. + 479064.i −0.121791 + 0.102195i
\(467\) 2.47607e6 + 4.28869e6i 0.525378 + 0.909981i 0.999563 + 0.0295557i \(0.00940925\pi\)
−0.474186 + 0.880425i \(0.657257\pi\)
\(468\) −7.47168e6 1.47278e7i −1.57690 3.10831i
\(469\) 365506. 633076.i 0.0767296 0.132900i
\(470\) −379418. 2.15179e6i −0.0792270 0.449319i
\(471\) −1.01574e6 623670.i −0.210974 0.129540i
\(472\) −653487. + 237850.i −0.135015 + 0.0491414i
\(473\) −7.71311e6 + 2.80734e6i −1.58517 + 0.576956i
\(474\) −2.08714e6 + 1.13086e6i −0.426684 + 0.231186i
\(475\) −1.45846e6 8.27133e6i −0.296593 1.68206i
\(476\) 2.03276e6 3.52085e6i 0.411215 0.712245i
\(477\) 4.09759e6 + 3.83454e6i 0.824580 + 0.771644i
\(478\) −4.98165e6 8.62848e6i −0.997250 1.72729i
\(479\) −3.63756e6 + 3.05228e6i −0.724389 + 0.607834i −0.928596 0.371093i \(-0.878983\pi\)
0.204207 + 0.978928i \(0.434539\pi\)
\(480\) 1.14626e6 1.29333e6i 0.227082 0.256216i
\(481\) 103119. 584815.i 0.0203224 0.115254i
\(482\) 4.84984e6 + 4.06950e6i 0.950844 + 0.797853i
\(483\) −242918. + 615100.i −0.0473797 + 0.119972i
\(484\) −1.05154e7 3.82728e6i −2.04038 0.742637i
\(485\) −190987. −0.0368680
\(486\) 7.50891e6 + 5.81432e6i 1.44207 + 1.11663i
\(487\) −6.13362e6 −1.17191 −0.585956 0.810343i \(-0.699281\pi\)
−0.585956 + 0.810343i \(0.699281\pi\)
\(488\) 1.24238e6 + 452189.i 0.236159 + 0.0859549i
\(489\) 2.66920e6 6.75875e6i 0.504787 1.27819i
\(490\) −526012. 441377.i −0.0989705 0.0830461i
\(491\) −31242.8 + 177187.i −0.00584853 + 0.0331687i −0.987592 0.157039i \(-0.949805\pi\)
0.981744 + 0.190208i \(0.0609162\pi\)
\(492\) −2.76334e6 + 3.11787e6i −0.514662 + 0.580691i
\(493\) 249057. 208984.i 0.0461511 0.0387254i
\(494\) 1.34808e7 + 2.33494e7i 2.48541 + 4.30486i
\(495\) 1.36809e6 + 1.28026e6i 0.250958 + 0.234847i
\(496\) 6.47817e6 1.12205e7i 1.18236 2.04790i
\(497\) 678534. + 3.84815e6i 0.123220 + 0.698814i
\(498\) −1.03623e7 + 5.61449e6i −1.87233 + 1.01446i
\(499\) −1.23896e6 + 450945.i −0.222744 + 0.0810722i −0.450981 0.892533i \(-0.648926\pi\)
0.228237 + 0.973605i \(0.426704\pi\)
\(500\) 5.85714e6 2.13182e6i 1.04776 0.381352i
\(501\) −4.89944e6 3.00830e6i −0.872071 0.535459i
\(502\) −1.78471e6 1.01216e7i −0.316088 1.79263i
\(503\) 4.43152e6 7.67562e6i 0.780968 1.35268i −0.150411 0.988624i \(-0.548060\pi\)
0.931379 0.364052i \(-0.118607\pi\)
\(504\) −5.27193e6 1.03918e7i −0.924470 1.82228i
\(505\) −395617. 685230.i −0.0690315 0.119566i
\(506\) 1.70863e6 1.43371e6i 0.296668 0.248934i
\(507\) 2.27971e6 + 6.83325e6i 0.393876 + 1.18061i
\(508\) 523068. 2.96647e6i 0.0899288 0.510012i
\(509\) −2.33345e6 1.95800e6i −0.399212 0.334979i 0.420977 0.907071i \(-0.361687\pi\)
−0.820189 + 0.572093i \(0.806132\pi\)
\(510\) 1.09633e6 162864.i 0.186645 0.0277268i
\(511\) 4.79037e6 + 1.74355e6i 0.811552 + 0.295381i
\(512\) −1.27951e7 −2.15709
\(513\) −8.92013e6 6.16528e6i −1.49650 1.03433i
\(514\) 1.75297e7 2.92661
\(515\) 2.43054e6 + 884644.i 0.403817 + 0.146977i
\(516\) 1.06150e7 + 1.33690e7i 1.75508 + 2.21041i
\(517\) 6.55113e6 + 5.49705e6i 1.07793 + 0.904489i
\(518\) 127613. 723730.i 0.0208964 0.118509i
\(519\) 3.12138e6 + 637906.i 0.508661 + 0.103953i
\(520\) −4.23186e6 + 3.55096e6i −0.686315 + 0.575887i
\(521\) −5.02280e6 8.69975e6i −0.810685 1.40415i −0.912386 0.409332i \(-0.865762\pi\)
0.101701 0.994815i \(-0.467572\pi\)
\(522\) −196335. 1.62256e6i −0.0315371 0.260630i
\(523\) −4.91623e6 + 8.51515e6i −0.785919 + 1.36125i 0.142530 + 0.989791i \(0.454476\pi\)
−0.928449 + 0.371461i \(0.878857\pi\)
\(524\) 2.20696e6 + 1.25163e7i 0.351128 + 1.99135i
\(525\) 135496. 5.00648e6i 0.0214550 0.792747i
\(526\) −1.88263e7 + 6.85222e6i −2.96689 + 1.07986i
\(527\) 2.84282e6 1.03470e6i 0.445886 0.162289i
\(528\) −502631. + 1.85718e7i −0.0784629 + 2.89914i
\(529\) −1.09159e6 6.19074e6i −0.169598 0.961841i
\(530\) 1.64626e6 2.85140e6i 0.254570 0.440929i
\(531\) −308592. + 231693.i −0.0474950 + 0.0356595i
\(532\) 1.16677e7 + 2.02090e7i 1.78733 + 3.09575i
\(533\) 2.51060e6 2.10665e6i 0.382790 0.321199i
\(534\) −5.36077e6 1.09556e6i −0.813530 0.166258i
\(535\) 482018. 2.73366e6i 0.0728080 0.412914i
\(536\) 2.23951e6 + 1.87917e6i 0.336699 + 0.282524i
\(537\) −2.66547e6 3.35700e6i −0.398876 0.502360i
\(538\) 1.65403e7 + 6.02017e6i 2.46370 + 0.896712i
\(539\) 2.68755e6 0.398460
\(540\) 1.62529e6 3.54164e6i 0.239854 0.522661i
\(541\) 7.32261e6 1.07565 0.537827 0.843055i \(-0.319245\pi\)
0.537827 + 0.843055i \(0.319245\pi\)
\(542\) −1.60169e7 5.82966e6i −2.34196 0.852403i
\(543\) 5.75219e6 854510.i 0.837208 0.124371i
\(544\) 3.06508e6 + 2.57191e6i 0.444063 + 0.372613i
\(545\) 28844.8 163587.i 0.00415983 0.0235916i
\(546\) 5.08802e6 + 1.52510e7i 0.730411 + 2.18935i
\(547\) 2.53259e6 2.12510e6i 0.361907 0.303676i −0.443643 0.896204i \(-0.646314\pi\)
0.805550 + 0.592527i \(0.201870\pi\)
\(548\) −5.40284e6 9.35800e6i −0.768548 1.33116i
\(549\) 732561. + 39681.3i 0.103732 + 0.00561895i
\(550\) −8.44572e6 + 1.46284e7i −1.19050 + 2.06201i
\(551\) 324052. + 1.83779e6i 0.0454711 + 0.257879i
\(552\) −2.25385e6 1.38388e6i −0.314831 0.193309i
\(553\) 1.51875e6 552780.i 0.211190 0.0768669i
\(554\) −4.38499e6 + 1.59601e6i −0.607008 + 0.220933i
\(555\) 123199. 66751.5i 0.0169775 0.00919875i
\(556\) 152154. + 862909.i 0.0208736 + 0.118380i
\(557\) 5.67760e6 9.83388e6i 0.775401 1.34303i −0.159167 0.987252i \(-0.550881\pi\)
0.934569 0.355783i \(-0.115786\pi\)
\(558\) 3.44710e6 1.48123e7i 0.468671 2.01390i
\(559\) −6.71436e6 1.16296e7i −0.908815 1.57411i
\(560\) −2.47575e6 + 2.07740e6i −0.333608 + 0.279931i
\(561\) −2.87734e6 + 3.24649e6i −0.385997 + 0.435519i
\(562\) −2.21987e6 + 1.25895e7i −0.296473 + 1.68138i
\(563\) 2.21567e6 + 1.85916e6i 0.294600 + 0.247199i 0.778093 0.628150i \(-0.216187\pi\)
−0.483492 + 0.875349i \(0.660632\pi\)
\(564\) 6.53297e6 1.65423e7i 0.864794 2.18977i
\(565\) −1.19018e6 433192.i −0.156853 0.0570898i
\(566\) −8.64728e6 −1.13459
\(567\) −4.47528e6 4.66696e6i −0.584605 0.609645i
\(568\) −1.56270e7 −2.03238
\(569\) −1.14983e6 418505.i −0.148886 0.0541900i 0.266502 0.963834i \(-0.414132\pi\)
−0.415388 + 0.909644i \(0.636354\pi\)
\(570\) −2.33680e6 + 5.91708e6i −0.301255 + 0.762816i
\(571\) −524573. 440169.i −0.0673311 0.0564975i 0.608501 0.793553i \(-0.291771\pi\)
−0.675832 + 0.737056i \(0.736216\pi\)
\(572\) 6.58521e6 3.73466e7i 0.841549 4.77266i
\(573\) 3.60682e6 4.06956e6i 0.458920 0.517799i
\(574\) 3.10696e6 2.60705e6i 0.393601 0.330271i
\(575\) −568372. 984449.i −0.0716907 0.124172i
\(576\) 3.35414e6 1.01903e6i 0.421235 0.127976i
\(577\) 4.50860e6 7.80912e6i 0.563770 0.976478i −0.433393 0.901205i \(-0.642684\pi\)
0.997163 0.0752732i \(-0.0239829\pi\)
\(578\) −2.09817e6 1.18993e7i −0.261229 1.48150i
\(579\) −7.47600e6 + 4.05064e6i −0.926772 + 0.502143i
\(580\) −630186. + 229369.i −0.0777855 + 0.0283116i
\(581\) 7.54032e6 2.74445e6i 0.926722 0.337299i
\(582\) −1.89429e6 1.16311e6i −0.231813 0.142335i
\(583\) 2.23776e6 + 1.26909e7i 0.272672 + 1.54640i
\(584\) −1.01936e7 + 1.76558e7i −1.23679 + 2.14218i
\(585\) −1.67405e6 + 2.56794e6i −0.202246 + 0.310238i
\(586\) −9.37394e6 1.62361e7i −1.12766 1.95316i
\(587\) −9.81859e6 + 8.23878e6i −1.17613 + 0.986887i −0.176130 + 0.984367i \(0.556358\pi\)
−0.999997 + 0.00252040i \(0.999198\pi\)
\(588\) −1.76888e6 5.30209e6i −0.210987 0.632417i
\(589\) −3.01532e6 + 1.71007e7i −0.358133 + 2.03108i
\(590\) 173433. + 145527.i 0.0205116 + 0.0172113i
\(591\) −1.13485e7 + 1.68587e6i −1.33650 + 0.198543i
\(592\) 1.30558e6 + 475191.i 0.153108 + 0.0557268i
\(593\) 6.72932e6 0.785841 0.392920 0.919573i \(-0.371465\pi\)
0.392920 + 0.919573i \(0.371465\pi\)
\(594\) 5.77248e6 + 2.10297e7i 0.671269 + 2.44550i
\(595\) −754631. −0.0873861
\(596\) 3.42016e7 + 1.24484e7i 3.94395 + 1.43548i
\(597\) −2.86946e6 3.61391e6i −0.329506 0.414993i
\(598\) 2.79536e6 + 2.34559e6i 0.319658 + 0.268225i
\(599\) −176335. + 1.00005e6i −0.0200804 + 0.113881i −0.993200 0.116417i \(-0.962859\pi\)
0.973120 + 0.230298i \(0.0739702\pi\)
\(600\) 1.96237e7 + 4.01043e6i 2.22537 + 0.454792i
\(601\) −251899. + 211369.i −0.0284473 + 0.0238701i −0.656900 0.753977i \(-0.728133\pi\)
0.628453 + 0.777847i \(0.283688\pi\)
\(602\) −8.30927e6 1.43921e7i −0.934484 1.61857i
\(603\) 1.49215e6 + 636473.i 0.167116 + 0.0712832i
\(604\) 9.80301e6 1.69793e7i 1.09337 1.89377i
\(605\) 360684. + 2.04554e6i 0.0400626 + 0.227206i
\(606\) 249144. 9.20569e6i 0.0275594 1.01830i
\(607\) 2.25698e6 821473.i 0.248631 0.0904943i −0.214698 0.976680i \(-0.568877\pi\)
0.463330 + 0.886186i \(0.346655\pi\)
\(608\) −2.15810e7 + 7.85485e6i −2.36763 + 0.861745i
\(609\) −30105.6 + 1.11238e6i −0.00328930 + 0.121537i
\(610\) −74741.9 423882.i −0.00813279 0.0461233i
\(611\) −6.99557e6 + 1.21167e7i −0.758089 + 1.31305i
\(612\) 8.29858e6 + 3.53974e6i 0.895623 + 0.382026i
\(613\) −1.34833e6 2.33538e6i −0.144926 0.251019i 0.784419 0.620231i \(-0.212961\pi\)
−0.929345 + 0.369212i \(0.879628\pi\)
\(614\) 1.38509e7 1.16222e7i 1.48271 1.24414i
\(615\) 757658. + 154840.i 0.0807765 + 0.0165080i
\(616\) 4.64645e6 2.63513e7i 0.493366 2.79802i
\(617\) 7.19132e6 + 6.03423e6i 0.760493 + 0.638130i 0.938255 0.345944i \(-0.112441\pi\)
−0.177762 + 0.984074i \(0.556886\pi\)
\(618\) 1.87196e7 + 2.35762e7i 1.97163 + 2.48315i
\(619\) 9.49120e6 + 3.45451e6i 0.995622 + 0.362377i 0.787895 0.615810i \(-0.211171\pi\)
0.207727 + 0.978187i \(0.433393\pi\)
\(620\) −6.24025e6 −0.651962
\(621\) −1.41987e6 371194.i −0.147747 0.0386253i
\(622\) −3.41894e7 −3.54336
\(623\) 3.50067e6 + 1.27414e6i 0.361353 + 0.131522i
\(624\) −3.00652e7 + 4.46631e6i −3.09103 + 0.459185i
\(625\) 6.13751e6 + 5.14999e6i 0.628481 + 0.527358i
\(626\) −926920. + 5.25682e6i −0.0945380 + 0.536152i
\(627\) −7.88007e6 2.36199e7i −0.800500 2.39944i
\(628\) −4.36052e6 + 3.65891e6i −0.441203 + 0.370213i
\(629\) 162207. + 280950.i 0.0163471 + 0.0283141i
\(630\) −2.07170e6 + 3.17792e6i −0.207958 + 0.319000i
\(631\) −2.79255e6 + 4.83684e6i −0.279208 + 0.483602i −0.971188 0.238314i \(-0.923405\pi\)
0.691980 + 0.721916i \(0.256738\pi\)
\(632\) 1.12239e6 + 6.36541e6i 0.111777 + 0.633919i
\(633\) 2.72838e6 + 1.67525e6i 0.270642 + 0.166177i
\(634\) 3.10607e6 1.13052e6i 0.306894 0.111700i
\(635\) −525403. + 191231.i −0.0517080 + 0.0188202i
\(636\) 2.35643e7 1.27676e7i 2.31000 1.25160i
\(637\) 763516. + 4.33011e6i 0.0745537 + 0.422815i
\(638\) 1.87653e6 3.25025e6i 0.182518 0.316130i
\(639\) −8.29689e6 + 2.52070e6i −0.803828 + 0.244213i
\(640\) 745470. + 1.29119e6i 0.0719417 + 0.124607i
\(641\) −5.69360e6 + 4.77749e6i −0.547320 + 0.459256i −0.874032 0.485868i \(-0.838504\pi\)
0.326712 + 0.945124i \(0.394059\pi\)
\(642\) 2.14288e7 2.41781e7i 2.05192 2.31518i
\(643\) −1.02347e6 + 5.80440e6i −0.0976222 + 0.553643i 0.896290 + 0.443468i \(0.146252\pi\)
−0.993912 + 0.110175i \(0.964859\pi\)
\(644\) 2.41940e6 + 2.03012e6i 0.229876 + 0.192889i
\(645\) 1.16389e6 2.94711e6i 0.110157 0.278931i
\(646\) −1.38409e7 5.03766e6i −1.30491 0.474950i
\(647\) −1.45407e6 −0.136560 −0.0682800 0.997666i \(-0.521751\pi\)
−0.0682800 + 0.997666i \(0.521751\pi\)
\(648\) 2.14885e7 1.43847e7i 2.01034 1.34575i
\(649\) −886117. −0.0825809
\(650\) −2.59683e7 9.45169e6i −2.41079 0.877457i
\(651\) −3.80340e6 + 9.63070e6i −0.351738 + 0.890647i
\(652\) −2.65845e7 2.23070e7i −2.44911 2.05505i
\(653\) −2.69034e6 + 1.52577e7i −0.246902 + 1.40025i 0.569133 + 0.822245i \(0.307279\pi\)
−0.816035 + 0.578003i \(0.803832\pi\)
\(654\) 1.28234e6 1.44686e6i 0.117235 0.132276i
\(655\) 1.80716e6 1.51639e6i 0.164586 0.138104i
\(656\) 3.83392e6 + 6.64055e6i 0.347844 + 0.602483i
\(657\) −2.56416e6 + 1.10183e7i −0.231756 + 0.995870i
\(658\) −8.65728e6 + 1.49949e7i −0.779501 + 1.35014i
\(659\) −2.24892e6 1.27543e7i −0.201725 1.14404i −0.902510 0.430668i \(-0.858278\pi\)
0.700785 0.713373i \(-0.252833\pi\)
\(660\) 7.86753e6 4.26279e6i 0.703038 0.380920i
\(661\) 1.21613e7 4.42636e6i 1.08262 0.394043i 0.261740 0.965138i \(-0.415704\pi\)
0.820884 + 0.571095i \(0.193481\pi\)
\(662\) 1.06224e7 3.86625e6i 0.942061 0.342882i
\(663\) −6.04810e6 3.71358e6i −0.534361 0.328102i
\(664\) 5.57248e6 + 3.16031e7i 0.490488 + 2.78170i
\(665\) 2.16573e6 3.75115e6i 0.189911 0.328935i
\(666\) 1.62845e6 + 88209.9i 0.142262 + 0.00770605i
\(667\) 126285. + 218732.i 0.0109910 + 0.0190370i
\(668\) −2.10331e7 + 1.76489e7i −1.82374 + 1.53030i
\(669\) 4.58471e6 + 1.37423e7i 0.396047 + 1.18712i
\(670\) 165270. 937295.i 0.0142236 0.0806658i
\(671\) 1.29051e6 + 1.08287e6i 0.110651 + 0.0928474i
\(672\) −1.35461e7 + 2.01232e6i −1.15715 + 0.171900i
\(673\) −1.17422e7 4.27379e6i −0.999333 0.363727i −0.210006 0.977700i \(-0.567348\pi\)
−0.789327 + 0.613973i \(0.789570\pi\)
\(674\) 3.28355e7 2.78416
\(675\) 1.10658e7 1.03612e6i 0.934808 0.0875284i
\(676\) 3.44016e7 2.89542
\(677\) 6.04978e6 + 2.20194e6i 0.507304 + 0.184644i 0.582976 0.812489i \(-0.301888\pi\)
−0.0756723 + 0.997133i \(0.524110\pi\)
\(678\) −9.16660e6 1.15448e7i −0.765833 0.964520i
\(679\) 1.15937e6 + 972825.i 0.0965043 + 0.0809768i
\(680\) 524058. 2.97208e6i 0.0434617 0.246484i
\(681\) −793087. 162080.i −0.0655319 0.0133925i
\(682\) 2.67522e7 2.24478e7i 2.20241 1.84804i
\(683\) −6.81105e6 1.17971e7i −0.558679 0.967660i −0.997607 0.0691379i \(-0.977975\pi\)
0.438928 0.898522i \(-0.355358\pi\)
\(684\) −4.14117e7 + 3.10921e7i −3.38441 + 2.54103i
\(685\) −1.00286e6 + 1.73701e6i −0.0816610 + 0.141441i
\(686\) 4.24207e6 + 2.40580e7i 0.344166 + 1.95186i
\(687\) −153430. + 5.66913e6i −0.0124028 + 0.458273i
\(688\) 2.95236e7 1.07457e7i 2.37793 0.865495i
\(689\) −1.98116e7 + 7.21083e6i −1.58990 + 0.578678i
\(690\) −23294.5 + 860715.i −0.00186265 + 0.0688235i
\(691\) 1.17216e6 + 6.64768e6i 0.0933885 + 0.529633i 0.995229 + 0.0975640i \(0.0311051\pi\)
−0.901841 + 0.432069i \(0.857784\pi\)
\(692\) 7.60741e6 1.31764e7i 0.603909 1.04600i
\(693\) −1.78362e6 1.47403e7i −0.141081 1.16593i
\(694\) 2.08657e7 + 3.61404e7i 1.64450 + 2.84835i
\(695\) 124591. 104544.i 0.00978417 0.00820989i
\(696\) −4.36014e6 891067.i −0.341175 0.0697248i
\(697\) −310904. + 1.76322e6i −0.0242406 + 0.137475i
\(698\) −1.07605e7 9.02913e6i −0.835976 0.701467i
\(699\) 700222. + 881888.i 0.0542055 + 0.0682685i
\(700\) −2.24757e7 8.18047e6i −1.73367 0.631006i
\(701\) 1.50466e7 1.15649 0.578247 0.815862i \(-0.303737\pi\)
0.578247 + 0.815862i \(0.303737\pi\)
\(702\) −3.22427e7 + 1.52749e7i −2.46938 + 1.16986i
\(703\) −1.86208e6 −0.142105
\(704\) 7.56426e6 + 2.75317e6i 0.575221 + 0.209363i
\(705\) −3.26548e6 + 485100.i −0.247443 + 0.0367586i
\(706\) −1.45381e7 1.21989e7i −1.09773 0.921103i
\(707\) −1.08878e6 + 6.17477e6i −0.0819202 + 0.464593i
\(708\) 583221. + 1.74816e6i 0.0437270 + 0.131069i
\(709\) 1.52211e7 1.27720e7i 1.13718 0.954210i 0.137840 0.990454i \(-0.455984\pi\)
0.999343 + 0.0362447i \(0.0115396\pi\)
\(710\) 2.54373e6 + 4.40587e6i 0.189376 + 0.328009i
\(711\) 1.62268e6 + 3.19856e6i 0.120382 + 0.237291i
\(712\) −7.44921e6 + 1.29024e7i −0.550694 + 0.953830i
\(713\) 408105. + 2.31448e6i 0.0300641 + 0.170502i
\(714\) −7.48474e6 4.59570e6i −0.549454 0.337369i
\(715\) −6.61460e6 + 2.40752e6i −0.483881 + 0.176118i
\(716\) −1.92364e7 + 7.00149e6i −1.40230 + 0.510397i
\(717\) −1.32357e7 + 7.17139e6i −0.961503 + 0.520961i
\(718\) −1.80504e6 1.02369e7i −0.130670 0.741066i
\(719\) 4.15931e6 7.20413e6i 0.300053 0.519708i −0.676094 0.736815i \(-0.736329\pi\)
0.976148 + 0.217107i \(0.0696622\pi\)
\(720\) −5.23665e6 4.90047e6i −0.376463 0.352295i
\(721\) −1.02483e7 1.77505e7i −0.734197 1.27167i
\(722\) 4.51937e7 3.79220e7i 3.22652 2.70737i
\(723\) 6.34465e6 7.15865e6i 0.451400 0.509314i
\(724\) 4.82257e6 2.73502e7i 0.341926 1.93916i
\(725\) −1.46524e6 1.22948e6i −0.103530 0.0868717i
\(726\) −8.87991e6 + 2.24851e7i −0.625269 + 1.58326i
\(727\) 5.00502e6 + 1.82168e6i 0.351212 + 0.127831i 0.511601 0.859223i \(-0.329053\pi\)
−0.160389 + 0.987054i \(0.551275\pi\)
\(728\) 4.37766e7 3.06135
\(729\) 9.08865e6 1.11035e7i 0.633404 0.773821i
\(730\) 6.63717e6 0.460973
\(731\) 6.89369e6 + 2.50910e6i 0.477154 + 0.173670i
\(732\) 1.28694e6 3.25869e6i 0.0887726 0.224784i
\(733\) 1.63536e6 + 1.37223e6i 0.112422 + 0.0943335i 0.697266 0.716813i \(-0.254400\pi\)
−0.584844 + 0.811146i \(0.698844\pi\)
\(734\) 1.22819e6 6.96540e6i 0.0841443 0.477206i
\(735\) −688140. + 776426.i −0.0469849 + 0.0530129i
\(736\) −2.38111e6 + 1.99799e6i −0.162026 + 0.135956i
\(737\) 1.86256e6 + 3.22604e6i 0.126311 + 0.218777i
\(738\) 6.57178e6 + 6.14989e6i 0.444163 + 0.415649i
\(739\) 5.39539e6 9.34510e6i 0.363423 0.629467i −0.625099 0.780545i \(-0.714941\pi\)
0.988522 + 0.151079i \(0.0482747\pi\)
\(740\) −116200. 659003.i −0.00780058 0.0442393i
\(741\) 3.58171e7 1.94064e7i 2.39632 1.29837i
\(742\) −2.45176e7 + 8.92366e6i −1.63481 + 0.595023i
\(743\) 2.60676e6 948783.i 0.173232 0.0630514i −0.253948 0.967218i \(-0.581729\pi\)
0.427180 + 0.904166i \(0.359507\pi\)
\(744\) −3.52888e7 2.16676e7i −2.33725 1.43509i
\(745\) −1.17314e6 6.65321e6i −0.0774389 0.439178i
\(746\) −2.09078e7 + 3.62134e7i −1.37550 + 2.38244i
\(747\) 8.05633e6 + 1.58803e7i 0.528245 + 1.04125i
\(748\) 1.03586e7 + 1.79416e7i 0.676935 + 1.17249i
\(749\) −1.68504e7 + 1.41392e7i −1.09750 + 0.920916i
\(750\) −4.26151e6 1.27736e7i −0.276637 0.829199i
\(751\) 3.89493e6 2.20893e7i 0.252000 1.42916i −0.551658 0.834070i \(-0.686005\pi\)
0.803658 0.595092i \(-0.202884\pi\)
\(752\) −2.50759e7 2.10412e7i −1.61701 1.35683i
\(753\) −1.53602e7 + 2.28182e6i −0.987210 + 0.146654i
\(754\) 5.76983e6 + 2.10005e6i 0.369602 + 0.134524i
\(755\) −3.63922e6 −0.232349
\(756\) −2.79062e7 + 1.32205e7i −1.77581 + 0.841284i
\(757\) −2.07779e6 −0.131784 −0.0658920 0.997827i \(-0.520989\pi\)
−0.0658920 + 0.997827i \(0.520989\pi\)
\(758\) −2.65969e7 9.68049e6i