Properties

Label 27.6.e.a.4.4
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 4.4
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.55790 - 2.02291i) q^{2} +(-15.5209 - 1.44989i) q^{3} +(2.28464 + 1.91704i) q^{4} +(-3.90711 + 22.1583i) q^{5} +(83.3305 + 39.4557i) q^{6} +(69.5798 - 58.3844i) q^{7} +(85.8137 + 148.634i) q^{8} +(238.796 + 45.0070i) q^{9} +O(q^{10})\) \(q+(-5.55790 - 2.02291i) q^{2} +(-15.5209 - 1.44989i) q^{3} +(2.28464 + 1.91704i) q^{4} +(-3.90711 + 22.1583i) q^{5} +(83.3305 + 39.4557i) q^{6} +(69.5798 - 58.3844i) q^{7} +(85.8137 + 148.634i) q^{8} +(238.796 + 45.0070i) q^{9} +(66.5396 - 115.250i) q^{10} +(47.2935 + 268.215i) q^{11} +(-32.6801 - 33.0666i) q^{12} +(263.041 - 95.7391i) q^{13} +(-504.823 + 183.741i) q^{14} +(92.7689 - 338.252i) q^{15} +(-192.844 - 1093.67i) q^{16} +(-736.555 + 1275.75i) q^{17} +(-1236.16 - 733.206i) q^{18} +(121.121 + 209.787i) q^{19} +(-51.4047 + 43.1337i) q^{20} +(-1164.59 + 805.294i) q^{21} +(279.722 - 1586.38i) q^{22} +(-101.784 - 85.4070i) q^{23} +(-1116.40 - 2431.35i) q^{24} +(2460.81 + 895.663i) q^{25} -1655.63 q^{26} +(-3641.06 - 1044.77i) q^{27} +270.890 q^{28} +(7780.54 + 2831.88i) q^{29} +(-1199.85 + 1692.31i) q^{30} +(5831.61 + 4893.30i) q^{31} +(-186.902 + 1059.97i) q^{32} +(-345.156 - 4231.50i) q^{33} +(6674.43 - 5600.51i) q^{34} +(1021.84 + 1769.89i) q^{35} +(459.282 + 560.605i) q^{36} +(-5732.04 + 9928.18i) q^{37} +(-248.796 - 1410.99i) q^{38} +(-4221.44 + 1104.58i) q^{39} +(-3628.76 + 1320.76i) q^{40} +(-5445.05 + 1981.84i) q^{41} +(8101.71 - 2119.88i) q^{42} +(-3076.71 - 17448.9i) q^{43} +(-406.129 + 703.437i) q^{44} +(-1930.28 + 5115.47i) q^{45} +(392.935 + 680.584i) q^{46} +(9830.35 - 8248.65i) q^{47} +(1407.41 + 17254.3i) q^{48} +(-1485.89 + 8426.92i) q^{49} +(-11865.1 - 9956.00i) q^{50} +(13281.7 - 18732.9i) q^{51} +(784.489 + 285.531i) q^{52} -19826.8 q^{53} +(18123.2 + 13172.3i) q^{54} -6127.97 q^{55} +(14648.8 + 5331.72i) q^{56} +(-1575.73 - 3431.69i) q^{57} +(-37514.8 - 31478.6i) q^{58} +(-2930.29 + 16618.5i) q^{59} +(860.386 - 594.942i) q^{60} +(-4754.68 + 3989.65i) q^{61} +(-22512.8 - 38993.3i) q^{62} +(19243.1 - 10810.4i) q^{63} +(-14585.7 + 25263.1i) q^{64} +(1093.69 + 6202.61i) q^{65} +(-6641.59 + 24216.4i) q^{66} +(-21549.3 + 7843.29i) q^{67} +(-4128.43 + 1502.63i) q^{68} +(1455.95 + 1473.17i) q^{69} +(-2098.99 - 11903.9i) q^{70} +(22448.7 - 38882.4i) q^{71} +(13802.4 + 39355.3i) q^{72} +(32058.0 + 55526.1i) q^{73} +(51941.9 - 43584.4i) q^{74} +(-36895.4 - 17469.4i) q^{75} +(-125.453 + 711.481i) q^{76} +(18950.2 + 15901.1i) q^{77} +(25696.8 + 2400.47i) q^{78} +(95268.0 + 34674.7i) q^{79} +24987.4 q^{80} +(54997.7 + 21495.0i) q^{81} +34272.1 q^{82} +(-9484.75 - 3452.17i) q^{83} +(-4204.45 - 392.759i) q^{84} +(-25390.7 - 21305.3i) q^{85} +(-18197.5 + 103203. i) q^{86} +(-116655. - 55234.2i) q^{87} +(-35807.3 + 30045.9i) q^{88} +(-22900.3 - 39664.6i) q^{89} +(21076.4 - 24526.5i) q^{90} +(12712.7 - 22019.0i) q^{91} +(-68.8113 - 390.248i) q^{92} +(-83417.0 - 84403.6i) q^{93} +(-71322.4 + 25959.2i) q^{94} +(-5121.77 + 1864.17i) q^{95} +(4437.72 - 16180.7i) q^{96} +(-24215.3 - 137332. i) q^{97} +(25305.3 - 43830.1i) q^{98} +(-778.057 + 66177.0i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.55790 2.02291i −0.982507 0.357603i −0.199692 0.979859i \(-0.563994\pi\)
−0.782814 + 0.622255i \(0.786217\pi\)
\(3\) −15.5209 1.44989i −0.995665 0.0930102i
\(4\) 2.28464 + 1.91704i 0.0713950 + 0.0599075i
\(5\) −3.90711 + 22.1583i −0.0698925 + 0.396380i 0.929713 + 0.368286i \(0.120055\pi\)
−0.999605 + 0.0280948i \(0.991056\pi\)
\(6\) 83.3305 + 39.4557i 0.944987 + 0.447436i
\(7\) 69.5798 58.3844i 0.536708 0.450351i −0.333702 0.942678i \(-0.608298\pi\)
0.870410 + 0.492327i \(0.163854\pi\)
\(8\) 85.8137 + 148.634i 0.474058 + 0.821093i
\(9\) 238.796 + 45.0070i 0.982698 + 0.185214i
\(10\) 66.5396 115.250i 0.210417 0.364453i
\(11\) 47.2935 + 268.215i 0.117847 + 0.668345i 0.985301 + 0.170827i \(0.0546440\pi\)
−0.867454 + 0.497518i \(0.834245\pi\)
\(12\) −32.6801 33.0666i −0.0655135 0.0662883i
\(13\) 263.041 95.7391i 0.431683 0.157120i −0.117034 0.993128i \(-0.537339\pi\)
0.548717 + 0.836008i \(0.315116\pi\)
\(14\) −504.823 + 183.741i −0.688366 + 0.250545i
\(15\) 92.7689 338.252i 0.106457 0.388161i
\(16\) −192.844 1093.67i −0.188324 1.06804i
\(17\) −736.555 + 1275.75i −0.618135 + 1.07064i 0.371691 + 0.928356i \(0.378778\pi\)
−0.989826 + 0.142284i \(0.954555\pi\)
\(18\) −1236.16 733.206i −0.899274 0.533390i
\(19\) 121.121 + 209.787i 0.0769723 + 0.133320i 0.901942 0.431857i \(-0.142141\pi\)
−0.824970 + 0.565177i \(0.808808\pi\)
\(20\) −51.4047 + 43.1337i −0.0287361 + 0.0241125i
\(21\) −1164.59 + 805.294i −0.576268 + 0.398480i
\(22\) 279.722 1586.38i 0.123217 0.698796i
\(23\) −101.784 85.4070i −0.0401200 0.0336646i 0.622507 0.782614i \(-0.286114\pi\)
−0.662627 + 0.748949i \(0.730559\pi\)
\(24\) −1116.40 2431.35i −0.395633 0.861625i
\(25\) 2460.81 + 895.663i 0.787460 + 0.286612i
\(26\) −1655.63 −0.480318
\(27\) −3641.06 1044.77i −0.961212 0.275812i
\(28\) 270.890 0.0652976
\(29\) 7780.54 + 2831.88i 1.71797 + 0.625289i 0.997660 0.0683681i \(-0.0217792\pi\)
0.720306 + 0.693657i \(0.244001\pi\)
\(30\) −1199.85 + 1692.31i −0.243402 + 0.343302i
\(31\) 5831.61 + 4893.30i 1.08989 + 0.914530i 0.996704 0.0811185i \(-0.0258492\pi\)
0.0931898 + 0.995648i \(0.470294\pi\)
\(32\) −186.902 + 1059.97i −0.0322655 + 0.182987i
\(33\) −345.156 4231.50i −0.0551735 0.676409i
\(34\) 6674.43 5600.51i 0.990186 0.830865i
\(35\) 1021.84 + 1769.89i 0.140999 + 0.244217i
\(36\) 459.282 + 560.605i 0.0590640 + 0.0720943i
\(37\) −5732.04 + 9928.18i −0.688343 + 1.19224i 0.284031 + 0.958815i \(0.408328\pi\)
−0.972374 + 0.233429i \(0.925005\pi\)
\(38\) −248.796 1410.99i −0.0279502 0.158513i
\(39\) −4221.44 + 1104.58i −0.444426 + 0.116288i
\(40\) −3628.76 + 1320.76i −0.358598 + 0.130519i
\(41\) −5445.05 + 1981.84i −0.505874 + 0.184123i −0.582334 0.812950i \(-0.697860\pi\)
0.0764603 + 0.997073i \(0.475638\pi\)
\(42\) 8101.71 2119.88i 0.708685 0.185434i
\(43\) −3076.71 17448.9i −0.253755 1.43912i −0.799247 0.601003i \(-0.794768\pi\)
0.545492 0.838116i \(-0.316343\pi\)
\(44\) −406.129 + 703.437i −0.0316252 + 0.0547764i
\(45\) −1930.28 + 5115.47i −0.142098 + 0.376577i
\(46\) 392.935 + 680.584i 0.0273796 + 0.0474228i
\(47\) 9830.35 8248.65i 0.649119 0.544676i −0.257684 0.966229i \(-0.582959\pi\)
0.906804 + 0.421553i \(0.138515\pi\)
\(48\) 1407.41 + 17254.3i 0.0881691 + 1.08092i
\(49\) −1485.89 + 8426.92i −0.0884092 + 0.501394i
\(50\) −11865.1 9956.00i −0.671192 0.563197i
\(51\) 13281.7 18732.9i 0.715036 1.00851i
\(52\) 784.489 + 285.531i 0.0402327 + 0.0146435i
\(53\) −19826.8 −0.969532 −0.484766 0.874644i \(-0.661095\pi\)
−0.484766 + 0.874644i \(0.661095\pi\)
\(54\) 18123.2 + 13172.3i 0.845766 + 0.614720i
\(55\) −6127.97 −0.273155
\(56\) 14648.8 + 5331.72i 0.624211 + 0.227194i
\(57\) −1575.73 3431.69i −0.0642385 0.139901i
\(58\) −37514.8 31478.6i −1.46431 1.22870i
\(59\) −2930.29 + 16618.5i −0.109592 + 0.621530i 0.879694 + 0.475541i \(0.157748\pi\)
−0.989286 + 0.145989i \(0.953364\pi\)
\(60\) 860.386 594.942i 0.0308543 0.0213352i
\(61\) −4754.68 + 3989.65i −0.163605 + 0.137281i −0.720915 0.693024i \(-0.756278\pi\)
0.557310 + 0.830305i \(0.311834\pi\)
\(62\) −22512.8 38993.3i −0.743790 1.28828i
\(63\) 19243.1 10810.4i 0.610833 0.343154i
\(64\) −14585.7 + 25263.1i −0.445119 + 0.770969i
\(65\) 1093.69 + 6202.61i 0.0321078 + 0.182092i
\(66\) −6641.59 + 24216.4i −0.187678 + 0.684306i
\(67\) −21549.3 + 7843.29i −0.586470 + 0.213457i −0.618176 0.786040i \(-0.712128\pi\)
0.0317063 + 0.999497i \(0.489906\pi\)
\(68\) −4128.43 + 1502.63i −0.108271 + 0.0394075i
\(69\) 1455.95 + 1473.17i 0.0368149 + 0.0372503i
\(70\) −2098.99 11903.9i −0.0511994 0.290366i
\(71\) 22448.7 38882.4i 0.528502 0.915391i −0.470946 0.882162i \(-0.656087\pi\)
0.999448 0.0332295i \(-0.0105792\pi\)
\(72\) 13802.4 + 39355.3i 0.313778 + 0.894688i
\(73\) 32058.0 + 55526.1i 0.704092 + 1.21952i 0.967018 + 0.254707i \(0.0819791\pi\)
−0.262926 + 0.964816i \(0.584688\pi\)
\(74\) 51941.9 43584.4i 1.10265 0.925235i
\(75\) −36895.4 17469.4i −0.757389 0.358611i
\(76\) −125.453 + 711.481i −0.00249143 + 0.0141296i
\(77\) 18950.2 + 15901.1i 0.364240 + 0.305633i
\(78\) 25696.8 + 2400.47i 0.478236 + 0.0446745i
\(79\) 95268.0 + 34674.7i 1.71743 + 0.625094i 0.997612 0.0690671i \(-0.0220022\pi\)
0.719820 + 0.694161i \(0.244224\pi\)
\(80\) 24987.4 0.436511
\(81\) 54997.7 + 21495.0i 0.931392 + 0.364019i
\(82\) 34272.1 0.562867
\(83\) −9484.75 3452.17i −0.151123 0.0550043i 0.265351 0.964152i \(-0.414512\pi\)
−0.416474 + 0.909148i \(0.636734\pi\)
\(84\) −4204.45 392.759i −0.0650146 0.00607334i
\(85\) −25390.7 21305.3i −0.381178 0.319846i
\(86\) −18197.5 + 103203.i −0.265317 + 1.50469i
\(87\) −116655. 55234.2i −1.65236 0.782366i
\(88\) −35807.3 + 30045.9i −0.492907 + 0.413598i
\(89\) −22900.3 39664.6i −0.306455 0.530796i 0.671129 0.741341i \(-0.265810\pi\)
−0.977584 + 0.210545i \(0.932476\pi\)
\(90\) 21076.4 24526.5i 0.274278 0.319175i
\(91\) 12712.7 22019.0i 0.160929 0.278736i
\(92\) −68.8113 390.248i −0.000847599 0.00480697i
\(93\) −83417.0 84403.6i −1.00011 1.01194i
\(94\) −71322.4 + 25959.2i −0.832542 + 0.303020i
\(95\) −5121.77 + 1864.17i −0.0582252 + 0.0211922i
\(96\) 4437.72 16180.7i 0.0491453 0.179193i
\(97\) −24215.3 137332.i −0.261312 1.48198i −0.779334 0.626608i \(-0.784443\pi\)
0.518022 0.855367i \(-0.326669\pi\)
\(98\) 25305.3 43830.1i 0.266163 0.461007i
\(99\) −778.057 + 66177.0i −0.00797854 + 0.678608i
\(100\) 3905.05 + 6763.74i 0.0390505 + 0.0676374i
\(101\) −122748. + 102998.i −1.19732 + 1.00467i −0.197618 + 0.980279i \(0.563321\pi\)
−0.999702 + 0.0243922i \(0.992235\pi\)
\(102\) −111713. + 77247.7i −1.06317 + 0.735166i
\(103\) 15331.6 86949.9i 0.142395 0.807562i −0.827027 0.562162i \(-0.809970\pi\)
0.969422 0.245400i \(-0.0789193\pi\)
\(104\) 36802.6 + 30881.0i 0.333653 + 0.279968i
\(105\) −13293.8 28951.8i −0.117673 0.256272i
\(106\) 110195. + 40107.7i 0.952572 + 0.346708i
\(107\) −88915.7 −0.750791 −0.375396 0.926865i \(-0.622493\pi\)
−0.375396 + 0.926865i \(0.622493\pi\)
\(108\) −6315.64 9367.00i −0.0521025 0.0772754i
\(109\) 105032. 0.846748 0.423374 0.905955i \(-0.360846\pi\)
0.423374 + 0.905955i \(0.360846\pi\)
\(110\) 34058.6 + 12396.3i 0.268377 + 0.0976813i
\(111\) 103361. 145783.i 0.796250 1.12305i
\(112\) −77271.2 64838.3i −0.582067 0.488412i
\(113\) −27098.5 + 153683.i −0.199641 + 1.13222i 0.706013 + 0.708199i \(0.250492\pi\)
−0.905653 + 0.424019i \(0.860619\pi\)
\(114\) 1815.76 + 22260.6i 0.0130857 + 0.160426i
\(115\) 2290.16 1921.67i 0.0161481 0.0135499i
\(116\) 12346.9 + 21385.4i 0.0851947 + 0.147561i
\(117\) 67122.0 11023.4i 0.453315 0.0744476i
\(118\) 49904.0 86436.2i 0.329936 0.571467i
\(119\) 23234.6 + 131770.i 0.150407 + 0.852999i
\(120\) 58236.5 15238.1i 0.369183 0.0966000i
\(121\) 81636.0 29713.1i 0.506896 0.184495i
\(122\) 34496.7 12555.8i 0.209835 0.0763737i
\(123\) 87385.4 22865.1i 0.520806 0.136273i
\(124\) 3942.47 + 22358.9i 0.0230258 + 0.130586i
\(125\) −64617.6 + 111921.i −0.369893 + 0.640673i
\(126\) −128819. + 21155.9i −0.722860 + 0.118715i
\(127\) 23223.5 + 40224.3i 0.127767 + 0.221299i 0.922811 0.385253i \(-0.125886\pi\)
−0.795044 + 0.606551i \(0.792552\pi\)
\(128\) 158555. 133043.i 0.855372 0.717742i
\(129\) 22454.4 + 275283.i 0.118803 + 1.45648i
\(130\) 6468.72 36685.9i 0.0335707 0.190389i
\(131\) −189429. 158950.i −0.964427 0.809250i 0.0172406 0.999851i \(-0.494512\pi\)
−0.981668 + 0.190601i \(0.938956\pi\)
\(132\) 7323.39 10329.1i 0.0365828 0.0515975i
\(133\) 20675.8 + 7525.39i 0.101352 + 0.0368893i
\(134\) 135635. 0.652543
\(135\) 37376.5 76597.9i 0.176508 0.361728i
\(136\) −252826. −1.17213
\(137\) 37319.2 + 13583.1i 0.169875 + 0.0618296i 0.425558 0.904931i \(-0.360078\pi\)
−0.255682 + 0.966761i \(0.582300\pi\)
\(138\) −5111.93 11133.0i −0.0228501 0.0497638i
\(139\) 297276. + 249445.i 1.30504 + 1.09506i 0.989251 + 0.146228i \(0.0467134\pi\)
0.315788 + 0.948830i \(0.397731\pi\)
\(140\) −1058.40 + 6002.47i −0.00456382 + 0.0258827i
\(141\) −164535. + 113773.i −0.696966 + 0.481940i
\(142\) −203423. + 170692.i −0.846603 + 0.710384i
\(143\) 38118.7 + 66023.6i 0.155883 + 0.269997i
\(144\) 3172.60 269843.i 0.0127500 1.08444i
\(145\) −93149.3 + 161339.i −0.367925 + 0.637265i
\(146\) −65850.9 373459.i −0.255670 1.44998i
\(147\) 35280.5 128639.i 0.134661 0.490997i
\(148\) −32128.3 + 11693.8i −0.120569 + 0.0438834i
\(149\) 469863. 171016.i 1.73382 0.631061i 0.734933 0.678139i \(-0.237213\pi\)
0.998891 + 0.0470788i \(0.0149912\pi\)
\(150\) 169722. + 171729.i 0.615899 + 0.623183i
\(151\) −54044.9 306504.i −0.192891 1.09394i −0.915390 0.402568i \(-0.868118\pi\)
0.722499 0.691372i \(-0.242993\pi\)
\(152\) −20787.6 + 36005.2i −0.0729787 + 0.126403i
\(153\) −233304. + 271494.i −0.805738 + 0.937630i
\(154\) −73156.8 126711.i −0.248572 0.430540i
\(155\) −131212. + 110100.i −0.438677 + 0.368094i
\(156\) −11762.0 5569.11i −0.0386963 0.0183221i
\(157\) −65481.3 + 371363.i −0.212016 + 1.20240i 0.673995 + 0.738736i \(0.264577\pi\)
−0.886010 + 0.463665i \(0.846534\pi\)
\(158\) −459346. 385437.i −1.46385 1.22832i
\(159\) 307729. + 28746.5i 0.965329 + 0.0901763i
\(160\) −22757.0 8282.87i −0.0702773 0.0255788i
\(161\) −12068.6 −0.0366936
\(162\) −262189. 230722.i −0.784924 0.690720i
\(163\) −184937. −0.545198 −0.272599 0.962128i \(-0.587883\pi\)
−0.272599 + 0.962128i \(0.587883\pi\)
\(164\) −16239.2 5910.59i −0.0471472 0.0171602i
\(165\) 95111.5 + 8884.85i 0.271971 + 0.0254062i
\(166\) 45731.8 + 38373.6i 0.128810 + 0.108084i
\(167\) 86830.0 492437.i 0.240923 1.36634i −0.588850 0.808242i \(-0.700419\pi\)
0.829773 0.558101i \(-0.188470\pi\)
\(168\) −219632. 103992.i −0.600373 0.284267i
\(169\) −224402. + 188296.i −0.604381 + 0.507136i
\(170\) 98020.3 + 169776.i 0.260132 + 0.450562i
\(171\) 19481.2 + 55547.6i 0.0509478 + 0.145270i
\(172\) 26421.0 45762.6i 0.0680971 0.117948i
\(173\) 5824.77 + 33033.9i 0.0147966 + 0.0839159i 0.991312 0.131533i \(-0.0419898\pi\)
−0.976515 + 0.215448i \(0.930879\pi\)
\(174\) 536622. + 542968.i 1.34368 + 1.35957i
\(175\) 223516. 81353.0i 0.551712 0.200807i
\(176\) 284218. 103447.i 0.691624 0.251730i
\(177\) 69575.6 253685.i 0.166926 0.608642i
\(178\) 47040.0 + 266777.i 0.111280 + 0.631100i
\(179\) −71868.4 + 124480.i −0.167651 + 0.290379i −0.937593 0.347734i \(-0.886951\pi\)
0.769943 + 0.638113i \(0.220285\pi\)
\(180\) −14216.5 + 7986.57i −0.0327049 + 0.0183730i
\(181\) −267616. 463524.i −0.607177 1.05166i −0.991703 0.128548i \(-0.958968\pi\)
0.384526 0.923114i \(-0.374365\pi\)
\(182\) −115198. + 96662.7i −0.257790 + 0.216312i
\(183\) 79581.3 55029.1i 0.175664 0.121469i
\(184\) 3959.89 22457.6i 0.00862260 0.0489012i
\(185\) −197596. 165803.i −0.424472 0.356175i
\(186\) 292883. + 637851.i 0.620742 + 1.35188i
\(187\) −377009. 137220.i −0.788403 0.286955i
\(188\) 38271.8 0.0789740
\(189\) −314343. + 139886.i −0.640102 + 0.284852i
\(190\) 32237.3 0.0647851
\(191\) −400202. 145662.i −0.793773 0.288910i −0.0868692 0.996220i \(-0.527686\pi\)
−0.706903 + 0.707310i \(0.749908\pi\)
\(192\) 263011. 370958.i 0.514897 0.726226i
\(193\) 73786.7 + 61914.4i 0.142589 + 0.119646i 0.711292 0.702897i \(-0.248110\pi\)
−0.568703 + 0.822543i \(0.692555\pi\)
\(194\) −143223. + 812260.i −0.273218 + 1.54950i
\(195\) −7981.93 97855.8i −0.0150322 0.184289i
\(196\) −19549.5 + 16404.0i −0.0363492 + 0.0305006i
\(197\) 195151. + 338011.i 0.358265 + 0.620534i 0.987671 0.156543i \(-0.0500349\pi\)
−0.629406 + 0.777077i \(0.716702\pi\)
\(198\) 138194. 366231.i 0.250511 0.663884i
\(199\) 21457.6 37165.6i 0.0384103 0.0665286i −0.846181 0.532895i \(-0.821104\pi\)
0.884591 + 0.466367i \(0.154437\pi\)
\(200\) 78045.8 + 442620.i 0.137967 + 0.782448i
\(201\) 345836. 90490.9i 0.603781 0.157985i
\(202\) 890575. 324143.i 1.53565 0.558931i
\(203\) 706706. 257220.i 1.20365 0.438091i
\(204\) 66255.5 17336.3i 0.111467 0.0291663i
\(205\) −22639.8 128396.i −0.0376259 0.213387i
\(206\) −261103. + 452244.i −0.428691 + 0.742515i
\(207\) −20461.7 24975.8i −0.0331907 0.0405130i
\(208\) −155433. 269217.i −0.249106 0.431464i
\(209\) −50539.8 + 42407.9i −0.0800327 + 0.0671554i
\(210\) 15318.8 + 187803.i 0.0239704 + 0.293869i
\(211\) −13546.9 + 76828.6i −0.0209476 + 0.118800i −0.993489 0.113932i \(-0.963655\pi\)
0.972541 + 0.232732i \(0.0747665\pi\)
\(212\) −45297.0 38008.7i −0.0692197 0.0580822i
\(213\) −404799. + 570941.i −0.611351 + 0.862267i
\(214\) 494184. + 179868.i 0.737657 + 0.268485i
\(215\) 398659. 0.588174
\(216\) −157164. 630841.i −0.229203 0.919995i
\(217\) 691455. 0.996814
\(218\) −583755. 212470.i −0.831936 0.302800i
\(219\) −417062. 908295.i −0.587612 1.27972i
\(220\) −14000.2 11747.6i −0.0195019 0.0163641i
\(221\) −71605.0 + 406092.i −0.0986195 + 0.559299i
\(222\) −869376. + 601159.i −1.18393 + 0.818666i
\(223\) 64786.7 54362.5i 0.0872416 0.0732044i −0.598124 0.801404i \(-0.704087\pi\)
0.685365 + 0.728199i \(0.259642\pi\)
\(224\) 48881.3 + 84664.9i 0.0650912 + 0.112741i
\(225\) 547320. + 324634.i 0.720751 + 0.427502i
\(226\) 461498. 799337.i 0.601033 1.04102i
\(227\) 23061.0 + 130786.i 0.0297039 + 0.168459i 0.996051 0.0887822i \(-0.0282975\pi\)
−0.966347 + 0.257242i \(0.917186\pi\)
\(228\) 2978.71 10860.9i 0.00379482 0.0138366i
\(229\) −831897. + 302786.i −1.04829 + 0.381546i −0.808017 0.589160i \(-0.799459\pi\)
−0.240272 + 0.970706i \(0.577237\pi\)
\(230\) −16615.8 + 6047.67i −0.0207111 + 0.00753822i
\(231\) −271069. 274275.i −0.334234 0.338186i
\(232\) 246763. + 1.39946e6i 0.300996 + 1.70703i
\(233\) 573445. 993236.i 0.691994 1.19857i −0.279190 0.960236i \(-0.590066\pi\)
0.971184 0.238332i \(-0.0766008\pi\)
\(234\) −395356. 74514.8i −0.472008 0.0889616i
\(235\) 144368. + 250053.i 0.170530 + 0.295367i
\(236\) −38553.0 + 32349.8i −0.0450586 + 0.0378087i
\(237\) −1.42837e6 676310.i −1.65185 0.782123i
\(238\) 137423. 779365.i 0.157260 0.891863i
\(239\) −449946. 377550.i −0.509526 0.427543i 0.351437 0.936212i \(-0.385693\pi\)
−0.860962 + 0.508669i \(0.830138\pi\)
\(240\) −387826. 36228.8i −0.434619 0.0406000i
\(241\) −1.27476e6 463973.i −1.41379 0.514577i −0.481548 0.876419i \(-0.659925\pi\)
−0.932239 + 0.361843i \(0.882148\pi\)
\(242\) −513832. −0.564004
\(243\) −822448. 413361.i −0.893497 0.449070i
\(244\) −18511.0 −0.0199047
\(245\) −180921. 65849.9i −0.192563 0.0700874i
\(246\) −531933. 49690.6i −0.560427 0.0523524i
\(247\) 51944.6 + 43586.7i 0.0541748 + 0.0454581i
\(248\) −226877. + 1.28669e6i −0.234241 + 1.32844i
\(249\) 142206. + 67332.5i 0.145352 + 0.0688218i
\(250\) 585544. 491329.i 0.592529 0.497190i
\(251\) 127627. + 221056.i 0.127867 + 0.221472i 0.922850 0.385160i \(-0.125854\pi\)
−0.794983 + 0.606632i \(0.792520\pi\)
\(252\) 64687.3 + 12191.9i 0.0641679 + 0.0120940i
\(253\) 18093.7 31339.2i 0.0177716 0.0307813i
\(254\) −47703.8 270541.i −0.0463947 0.263117i
\(255\) 363196. + 367491.i 0.349777 + 0.353913i
\(256\) −273181. + 99429.6i −0.260525 + 0.0948235i
\(257\) 1.58074e6 575342.i 1.49289 0.543367i 0.538681 0.842510i \(-0.318923\pi\)
0.954208 + 0.299143i \(0.0967007\pi\)
\(258\) 432074. 1.57542e6i 0.404118 1.47349i
\(259\) 180817. + 1.02546e6i 0.167490 + 0.949883i
\(260\) −9391.97 + 16267.4i −0.00861635 + 0.0149240i
\(261\) 1.73050e6 + 1.02642e6i 1.57243 + 0.932661i
\(262\) 731288. + 1.26663e6i 0.658165 + 1.13998i
\(263\) −816243. + 684909.i −0.727663 + 0.610582i −0.929493 0.368839i \(-0.879755\pi\)
0.201830 + 0.979420i \(0.435311\pi\)
\(264\) 599324. 414422.i 0.529239 0.365960i
\(265\) 77465.4 439328.i 0.0677631 0.384303i
\(266\) −99691.0 83650.7i −0.0863877 0.0724879i
\(267\) 297925. + 648832.i 0.255757 + 0.556998i
\(268\) −64268.2 23391.7i −0.0546587 0.0198941i
\(269\) 1.19705e6 1.00863 0.504314 0.863520i \(-0.331745\pi\)
0.504314 + 0.863520i \(0.331745\pi\)
\(270\) −362685. + 350114.i −0.302775 + 0.292281i
\(271\) 904750. 0.748351 0.374176 0.927358i \(-0.377926\pi\)
0.374176 + 0.927358i \(0.377926\pi\)
\(272\) 1.53729e6 + 559528.i 1.25989 + 0.458564i
\(273\) −229237. + 323322.i −0.186156 + 0.262560i
\(274\) −179939. 150987.i −0.144793 0.121496i
\(275\) −123849. + 702385.i −0.0987557 + 0.560072i
\(276\) 502.197 + 6156.77i 0.000396827 + 0.00486497i
\(277\) 981954. 823957.i 0.768939 0.645216i −0.171498 0.985184i \(-0.554861\pi\)
0.940437 + 0.339968i \(0.110416\pi\)
\(278\) −1.14763e6 1.98775e6i −0.890614 1.54259i
\(279\) 1.17233e6 + 1.43096e6i 0.901653 + 1.10057i
\(280\) −175376. + 303761.i −0.133683 + 0.231546i
\(281\) −133056. 754596.i −0.100523 0.570097i −0.992914 0.118833i \(-0.962085\pi\)
0.892391 0.451263i \(-0.149026\pi\)
\(282\) 1.14462e6 299501.i 0.857117 0.224272i
\(283\) −1.56002e6 + 567801.i −1.15788 + 0.421435i −0.848340 0.529451i \(-0.822398\pi\)
−0.309542 + 0.950886i \(0.600176\pi\)
\(284\) 125826. 45797.0i 0.0925711 0.0336931i
\(285\) 82197.2 21507.6i 0.0599439 0.0156848i
\(286\) −78300.3 444063.i −0.0566042 0.321018i
\(287\) −263157. + 455801.i −0.188586 + 0.326641i
\(288\) −92337.6 + 244705.i −0.0655990 + 0.173845i
\(289\) −375099. 649691.i −0.264181 0.457575i
\(290\) 844089. 708275.i 0.589377 0.494546i
\(291\) 176727. + 2.16662e6i 0.122341 + 1.49986i
\(292\) −33204.8 + 188314.i −0.0227899 + 0.129248i
\(293\) −907811. 761744.i −0.617770 0.518370i 0.279332 0.960195i \(-0.409887\pi\)
−0.897102 + 0.441824i \(0.854331\pi\)
\(294\) −456310. + 643593.i −0.307887 + 0.434253i
\(295\) −356789. 129861.i −0.238702 0.0868806i
\(296\) −1.96755e6 −1.30526
\(297\) 108025. 1.02600e6i 0.0710614 0.674925i
\(298\) −2.95740e6 −1.92916
\(299\) −34950.2 12720.8i −0.0226085 0.00822882i
\(300\) −50803.2 110641.i −0.0325902 0.0709763i
\(301\) −1.23282e6 1.03446e6i −0.784302 0.658107i
\(302\) −319653. + 1.81284e6i −0.201680 + 1.14378i
\(303\) 2.05449e6 1.42064e6i 1.28558 0.888953i
\(304\) 206081. 172922.i 0.127895 0.107317i
\(305\) −69826.9 120944.i −0.0429807 0.0744447i
\(306\) 1.84589e6 1.03698e6i 1.12694 0.633093i
\(307\) −778035. + 1.34760e6i −0.471143 + 0.816044i −0.999455 0.0330064i \(-0.989492\pi\)
0.528312 + 0.849050i \(0.322825\pi\)
\(308\) 12811.3 + 72656.6i 0.00769515 + 0.0436413i
\(309\) −364028. + 1.32731e6i −0.216889 + 0.790818i
\(310\) 951987. 346495.i 0.562635 0.204782i
\(311\) −1.94895e6 + 709360.i −1.14261 + 0.415878i −0.842857 0.538138i \(-0.819128\pi\)
−0.299758 + 0.954015i \(0.596906\pi\)
\(312\) −526434. 532660.i −0.306167 0.309787i
\(313\) −224941. 1.27570e6i −0.129780 0.736018i −0.978353 0.206941i \(-0.933649\pi\)
0.848574 0.529077i \(-0.177462\pi\)
\(314\) 1.11517e6 1.93154e6i 0.638290 1.10555i
\(315\) 164355. + 468631.i 0.0933267 + 0.266106i
\(316\) 151180. + 261852.i 0.0851682 + 0.147516i
\(317\) 1.16834e6 980357.i 0.653014 0.547944i −0.254970 0.966949i \(-0.582066\pi\)
0.907984 + 0.419005i \(0.137621\pi\)
\(318\) −1.65217e6 782278.i −0.916195 0.433804i
\(319\) −391584. + 2.22078e6i −0.215451 + 1.22188i
\(320\) −502800. 421900.i −0.274486 0.230321i
\(321\) 1.38005e6 + 128918.i 0.747537 + 0.0698312i
\(322\) 67075.8 + 24413.6i 0.0360517 + 0.0131218i
\(323\) −356849. −0.190317
\(324\) 84443.3 + 154541.i 0.0446892 + 0.0817864i
\(325\) 733045. 0.384966
\(326\) 1.02786e6 + 374110.i 0.535661 + 0.194965i
\(327\) −1.63018e6 152284.i −0.843077 0.0787562i
\(328\) −761827. 639249.i −0.390995 0.328084i
\(329\) 202402. 1.14788e6i 0.103092 0.584663i
\(330\) −510647. 241783.i −0.258128 0.122220i
\(331\) 2.01166e6 1.68799e6i 1.00922 0.846835i 0.0209843 0.999780i \(-0.493320\pi\)
0.988235 + 0.152944i \(0.0488756\pi\)
\(332\) −15051.3 26069.6i −0.00749425 0.0129804i
\(333\) −1.81562e6 + 2.11282e6i −0.897253 + 1.04413i
\(334\) −1.47875e6 + 2.56127e6i −0.725317 + 1.25629i
\(335\) −89598.9 508141.i −0.0436205 0.247384i
\(336\) 1.10531e6 + 1.11838e6i 0.534116 + 0.540433i
\(337\) 42807.4 15580.6i 0.0205326 0.00747326i −0.331733 0.943373i \(-0.607633\pi\)
0.352266 + 0.935900i \(0.385411\pi\)
\(338\) 1.62811e6 592584.i 0.775161 0.282136i
\(339\) 643415. 2.34601e6i 0.304083 1.10874i
\(340\) −17165.4 97350.0i −0.00805300 0.0456708i
\(341\) −1.03666e6 + 1.79554e6i −0.482780 + 0.836200i
\(342\) 4093.11 348136.i 0.00189229 0.160947i
\(343\) 1.15190e6 + 1.99515e6i 0.528664 + 0.915674i
\(344\) 2.32947e6 1.95466e6i 1.06135 0.890583i
\(345\) −38331.5 + 26505.6i −0.0173384 + 0.0119892i
\(346\) 34451.1 195382.i 0.0154708 0.0877393i
\(347\) −1.55980e6 1.30883e6i −0.695417 0.583524i 0.225049 0.974348i \(-0.427746\pi\)
−0.920466 + 0.390823i \(0.872190\pi\)
\(348\) −160628. 349822.i −0.0711006 0.154846i
\(349\) −1.04233e6 379375.i −0.458078 0.166727i 0.102666 0.994716i \(-0.467263\pi\)
−0.560744 + 0.827989i \(0.689485\pi\)
\(350\) −1.40685e6 −0.613870
\(351\) −1.05778e6 + 73773.7i −0.458274 + 0.0319620i
\(352\) −293140. −0.126101
\(353\) 2.45555e6 + 893746.i 1.04884 + 0.381748i 0.808227 0.588872i \(-0.200428\pi\)
0.240618 + 0.970620i \(0.422650\pi\)
\(354\) −899877. + 1.26921e6i −0.381658 + 0.538302i
\(355\) 773859. + 649345.i 0.325905 + 0.273467i
\(356\) 23719.5 134520.i 0.00991929 0.0562551i
\(357\) −169570. 2.07887e6i −0.0704172 0.863291i
\(358\) 651248. 546462.i 0.268558 0.225347i
\(359\) 231841. + 401561.i 0.0949412 + 0.164443i 0.909584 0.415520i \(-0.136400\pi\)
−0.814643 + 0.579963i \(0.803067\pi\)
\(360\) −925975. + 152072.i −0.376568 + 0.0618434i
\(361\) 1.20871e6 2.09355e6i 0.488151 0.845502i
\(362\) 549714. + 3.11758e6i 0.220478 + 1.25039i
\(363\) −1.31014e6 + 342811.i −0.521858 + 0.136549i
\(364\) 71255.1 25934.7i 0.0281879 0.0102596i
\(365\) −1.35562e6 + 493405.i −0.532606 + 0.193853i
\(366\) −553624. + 144860.i −0.216029 + 0.0565259i
\(367\) 65028.1 + 368792.i 0.0252020 + 0.142928i 0.994812 0.101726i \(-0.0324366\pi\)
−0.969610 + 0.244654i \(0.921326\pi\)
\(368\) −73778.7 + 127788.i −0.0283996 + 0.0491895i
\(369\) −1.38945e6 + 228188.i −0.531223 + 0.0872424i
\(370\) 762815. + 1.32123e6i 0.289678 + 0.501736i
\(371\) −1.37954e6 + 1.15757e6i −0.520355 + 0.436630i
\(372\) −28772.8 352745.i −0.0107802 0.132161i
\(373\) 79569.7 451262.i 0.0296125 0.167941i −0.966415 0.256986i \(-0.917270\pi\)
0.996028 + 0.0890453i \(0.0283816\pi\)
\(374\) 1.81780e6 + 1.52531e6i 0.671995 + 0.563871i
\(375\) 1.16519e6 1.64342e6i 0.427878 0.603492i
\(376\) 2.06960e6 + 753275.i 0.754949 + 0.274779i
\(377\) 2.31772e6 0.839862
\(378\) 2.03006e6 141585.i 0.730769 0.0509669i
\(379\) 3.96988e6 1.41964 0.709821 0.704382i \(-0.248776\pi\)
0.709821 + 0.704382i \(0.248776\pi\)
\(380\) −15275.1 5559.67i −0.00542656 0.00197511i
\(381\) −302129. 657988.i −0.106630 0.232223i
\(382\) 1.92962e6 + 1.61915e6i 0.676572 + 0.567711i
\(383\) −160732. + 911554.i −0.0559892 + 0.317531i −0.999920 0.0126115i \(-0.995986\pi\)
0.943931 + 0.330142i \(0.107097\pi\)
\(384\) −2.65381e6 + 1.83506e6i −0.918421 + 0.635072i
\(385\) −426383. + 357778.i −0.146605 + 0.123016i
\(386\) −284852. 493378.i −0.0973085 0.168543i
\(387\) 50617.1 4.30519e6i 0.0171799 1.46122i
\(388\) 207947. 360175.i 0.0701251 0.121460i
\(389\) −73740.7 418205.i −0.0247078 0.140125i 0.969958 0.243271i \(-0.0782203\pi\)
−0.994666 + 0.103146i \(0.967109\pi\)
\(390\) −153591. + 560019.i −0.0511332 + 0.186441i
\(391\) 183928. 66944.3i 0.0608423 0.0221448i
\(392\) −1.38003e6 + 502291.i −0.453602 + 0.165098i
\(393\) 2.70965e6 + 2.74170e6i 0.884978 + 0.895444i
\(394\) −400863. 2.27340e6i −0.130093 0.737796i
\(395\) −1.14056e6 + 1.97550e6i −0.367811 + 0.637067i
\(396\) −128642. + 149699.i −0.0412233 + 0.0479712i
\(397\) −1.64686e6 2.85245e6i −0.524422 0.908325i −0.999596 0.0284333i \(-0.990948\pi\)
0.475174 0.879892i \(-0.342385\pi\)
\(398\) −194442. + 163156.i −0.0615292 + 0.0516291i
\(399\) −309996. 146778.i −0.0974820 0.0461562i
\(400\) 505008. 2.86404e6i 0.157815 0.895013i
\(401\) 2.24282e6 + 1.88195e6i 0.696521 + 0.584451i 0.920782 0.390079i \(-0.127552\pi\)
−0.224260 + 0.974529i \(0.571997\pi\)
\(402\) −2.10517e6 196655.i −0.649715 0.0606932i
\(403\) 2.00243e6 + 728826.i 0.614180 + 0.223543i
\(404\) −477885. −0.145670
\(405\) −691175. + 1.13468e6i −0.209387 + 0.343743i
\(406\) −4.44813e6 −1.33925
\(407\) −2.93397e6 1.06788e6i −0.877950 0.319548i
\(408\) 3.92408e6 + 366569.i 1.16705 + 0.109020i
\(409\) −1.79186e6 1.50355e6i −0.529659 0.444437i 0.338324 0.941030i \(-0.390140\pi\)
−0.867984 + 0.496593i \(0.834584\pi\)
\(410\) −133905. + 759412.i −0.0393402 + 0.223109i
\(411\) −559533. 264930.i −0.163388 0.0773617i
\(412\) 201714. 169258.i 0.0585453 0.0491254i
\(413\) 766372. + 1.32739e6i 0.221088 + 0.382935i
\(414\) 63200.2 + 180205.i 0.0181225 + 0.0516733i
\(415\) 113552. 196678.i 0.0323650 0.0560578i
\(416\) 52318.0 + 296710.i 0.0148224 + 0.0840619i
\(417\) −4.25233e6 4.30262e6i −1.19753 1.21169i
\(418\) 366682. 133461.i 0.102648 0.0373607i
\(419\) −176455. + 64224.3i −0.0491019 + 0.0178716i −0.366454 0.930436i \(-0.619428\pi\)
0.317352 + 0.948308i \(0.397206\pi\)
\(420\) 25130.1 91629.0i 0.00695139 0.0253460i
\(421\) −68615.9 389140.i −0.0188677 0.107004i 0.973920 0.226894i \(-0.0728570\pi\)
−0.992787 + 0.119890i \(0.961746\pi\)
\(422\) 230710. 399601.i 0.0630645 0.109231i
\(423\) 2.71869e6 1.52731e6i 0.738770 0.415026i
\(424\) −1.70141e6 2.94692e6i −0.459614 0.796075i
\(425\) −2.95517e6 + 2.47968e6i −0.793615 + 0.665922i
\(426\) 3.40479e6 2.35436e6i 0.909006 0.628562i
\(427\) −97896.3 + 555198.i −0.0259834 + 0.147359i
\(428\) −203140. 170455.i −0.0536027 0.0449780i
\(429\) −495910. 1.08001e6i −0.130095 0.283325i
\(430\) −2.21571e6 806452.i −0.577885 0.210333i
\(431\) −1.09070e6 −0.282820 −0.141410 0.989951i \(-0.545164\pi\)
−0.141410 + 0.989951i \(0.545164\pi\)
\(432\) −440483. + 4.18360e6i −0.113559 + 1.07855i
\(433\) 3.50848e6 0.899288 0.449644 0.893208i \(-0.351551\pi\)
0.449644 + 0.893208i \(0.351551\pi\)
\(434\) −3.84303e6 1.39875e6i −0.979377 0.356464i
\(435\) 1.67968e6 2.36907e6i 0.425602 0.600282i
\(436\) 239959. + 201350.i 0.0604535 + 0.0507265i
\(437\) 5589.14 31697.6i 0.00140004 0.00794004i
\(438\) 480591. + 5.89189e6i 0.119699 + 1.46747i
\(439\) −5.26819e6 + 4.42054e6i −1.30467 + 1.09475i −0.315351 + 0.948975i \(0.602122\pi\)
−0.989318 + 0.145773i \(0.953433\pi\)
\(440\) −525863. 910822.i −0.129492 0.224286i
\(441\) −734096. + 1.94544e6i −0.179745 + 0.476344i
\(442\) 1.21946e6 2.11217e6i 0.296901 0.514248i
\(443\) −204086. 1.15743e6i −0.0494088 0.280211i 0.950086 0.311987i \(-0.100995\pi\)
−0.999495 + 0.0317764i \(0.989884\pi\)
\(444\) 515615. 134915.i 0.124128 0.0324790i
\(445\) 968375. 352460.i 0.231816 0.0843741i
\(446\) −470048. + 171083.i −0.111894 + 0.0407259i
\(447\) −7.54064e6 + 1.97307e6i −1.78500 + 0.467062i
\(448\) 460103. + 2.60937e6i 0.108308 + 0.614245i
\(449\) 2.50234e6 4.33418e6i 0.585774 1.01459i −0.409005 0.912532i \(-0.634124\pi\)
0.994778 0.102058i \(-0.0325427\pi\)
\(450\) −2.38525e6 2.91146e6i −0.555267 0.677766i
\(451\) −789072. 1.36671e6i −0.182673 0.316400i
\(452\) −356527. + 299162.i −0.0820817 + 0.0688747i
\(453\) 394429. + 4.83557e6i 0.0903074 + 1.10714i
\(454\) 136397. 773543.i 0.0310573 0.176135i
\(455\) 438234. + 367722.i 0.0992380 + 0.0832705i
\(456\) 374846. 528693.i 0.0844191 0.119067i
\(457\) 3.41544e6 + 1.24312e6i 0.764991 + 0.278434i 0.694900 0.719107i \(-0.255449\pi\)
0.0700913 + 0.997541i \(0.477671\pi\)
\(458\) 5.23611e6 1.16639
\(459\) 4.01472e6 3.87556e6i 0.889454 0.858623i
\(460\) 8916.11 0.00196463
\(461\) −2.03452e6 740506.i −0.445872 0.162284i 0.109319 0.994007i \(-0.465133\pi\)
−0.555192 + 0.831722i \(0.687355\pi\)
\(462\) 951741. + 2.07274e6i 0.207450 + 0.451793i
\(463\) 1.25618e6 + 1.05406e6i 0.272332 + 0.228513i 0.768717 0.639589i \(-0.220895\pi\)
−0.496386 + 0.868102i \(0.665340\pi\)
\(464\) 1.59672e6 9.05545e6i 0.344298 1.95261i
\(465\) 2.19616e6 1.51861e6i 0.471012 0.325697i
\(466\) −5.19638e6 + 4.36028e6i −1.10850 + 0.930142i
\(467\) 1.51425e6 + 2.62275e6i 0.321295 + 0.556500i 0.980756 0.195240i \(-0.0625484\pi\)
−0.659460 + 0.751739i \(0.729215\pi\)
\(468\) 174482. + 103491.i 0.0368244 + 0.0218418i
\(469\) −1.04147e6 + 1.80387e6i −0.218632 + 0.378682i
\(470\) −296549. 1.68181e6i −0.0619229 0.351182i
\(471\) 1.55476e6 5.66894e6i 0.322932 1.17747i
\(472\) −2.72153e6 + 990555.i −0.562287 + 0.204656i
\(473\) 4.53454e6 1.65044e6i 0.931923 0.339192i
\(474\) 6.57062e6 + 6.64832e6i 1.34326 + 1.35915i
\(475\) 110157. + 624731.i 0.0224015 + 0.127045i
\(476\) −199525. + 345588.i −0.0403627 + 0.0699103i
\(477\) −4.73455e6 892343.i −0.952757 0.179571i
\(478\) 1.73701e6 + 3.00858e6i 0.347722 + 0.602272i
\(479\) −1.87616e6 + 1.57428e6i −0.373621 + 0.313505i −0.810192 0.586165i \(-0.800637\pi\)
0.436571 + 0.899670i \(0.356193\pi\)
\(480\) 341200. + 161552.i 0.0675936 + 0.0320045i
\(481\) −557246. + 3.16030e6i −0.109821 + 0.622824i
\(482\) 6.14638e6 + 5.15743e6i 1.20504 + 1.01115i
\(483\) 187315. + 17498.0i 0.0365346 + 0.00341288i
\(484\) 243470. + 88615.8i 0.0472424 + 0.0171948i
\(485\) 3.13765e6 0.605690
\(486\) 3.73489e6 + 3.96116e6i 0.717278 + 0.760731i
\(487\) 5.79768e6 1.10772 0.553862 0.832608i \(-0.313153\pi\)
0.553862 + 0.832608i \(0.313153\pi\)
\(488\) −1.00101e6 364339.i −0.190279 0.0692557i
\(489\) 2.87038e6 + 268137.i 0.542835 + 0.0507090i
\(490\) 872332. + 731974.i 0.164131 + 0.137723i
\(491\) 1.39338e6 7.90227e6i 0.260836 1.47927i −0.519801 0.854287i \(-0.673994\pi\)
0.780637 0.624985i \(-0.214895\pi\)
\(492\) 243477. + 115283.i 0.0453467 + 0.0214709i
\(493\) −9.34358e6 + 7.84019e6i −1.73139 + 1.45281i
\(494\) −200531. 347329.i −0.0369712 0.0640360i
\(495\) −1.46333e6 275801.i −0.268429 0.0505922i
\(496\) 4.22707e6 7.32150e6i 0.771499 1.33628i
\(497\) −708144. 4.01608e6i −0.128597 0.729309i
\(498\) −654161. 661898.i −0.118198 0.119596i
\(499\) −1.77935e6 + 647632.i −0.319898 + 0.116433i −0.496978 0.867763i \(-0.665557\pi\)
0.177080 + 0.984196i \(0.443335\pi\)
\(500\) −362185. + 131824.i −0.0647896 + 0.0235815i
\(501\) −2.06166e6 + 7.51717e6i −0.366963 + 1.33801i
\(502\) −262161. 1.48679e6i −0.0464310 0.263323i
\(503\) 395461. 684959.i 0.0696922 0.120710i −0.829074 0.559139i \(-0.811132\pi\)
0.898766 + 0.438429i \(0.144465\pi\)
\(504\) 3.25810e6 + 1.93249e6i 0.571331 + 0.338876i
\(505\) −1.80267e6 3.12231e6i −0.314548 0.544813i
\(506\) −163959. + 137578.i −0.0284682 + 0.0238876i
\(507\) 3.75593e6 2.59716e6i 0.648930 0.448724i
\(508\) −24054.2 + 136418.i −0.00413554 + 0.0234538i
\(509\) −441409. 370386.i −0.0755174 0.0633666i 0.604248 0.796797i \(-0.293474\pi\)
−0.679765 + 0.733430i \(0.737918\pi\)
\(510\) −1.27521e6 2.77719e6i −0.217097 0.472803i
\(511\) 5.47245e6 + 1.99181e6i 0.927106 + 0.337439i
\(512\) −4.90387e6 −0.826731
\(513\) −221828. 890393.i −0.0372154 0.149379i
\(514\) −9.94945e6 −1.66108
\(515\) 1.86676e6 + 679446.i 0.310150 + 0.112885i
\(516\) −476428. + 671968.i −0.0787723 + 0.111103i
\(517\) 2.67732e6 + 2.24654e6i 0.440528 + 0.369647i
\(518\) 1.06946e6 6.06519e6i 0.175121 0.993161i
\(519\) −42510.2 521160.i −0.00692747 0.0849284i
\(520\) −828064. + 694828.i −0.134294 + 0.112686i
\(521\) 2.21807e6 + 3.84180e6i 0.357998 + 0.620070i 0.987626 0.156826i \(-0.0501262\pi\)
−0.629628 + 0.776896i \(0.716793\pi\)
\(522\) −7.54161e6 9.20539e6i −1.21140 1.47865i
\(523\) −2.80297e6 + 4.85488e6i −0.448088 + 0.776112i −0.998262 0.0589388i \(-0.981228\pi\)
0.550173 + 0.835050i \(0.314562\pi\)
\(524\) −128064. 726288.i −0.0203751 0.115553i
\(525\) −3.58711e6 + 938599.i −0.567998 + 0.148621i
\(526\) 5.92211e6 2.15547e6i 0.933280 0.339686i
\(527\) −1.05379e7 + 3.83550e6i −1.65283 + 0.601583i
\(528\) −4.56130e6 + 1.19350e6i −0.712039 + 0.186311i
\(529\) −1.11459e6 6.32117e6i −0.173172 0.982107i
\(530\) −1.31927e6 + 2.28503e6i −0.204006 + 0.353348i
\(531\) −1.44769e6 + 3.83654e6i −0.222812 + 0.590478i
\(532\) 32810.4 + 56829.2i 0.00502611 + 0.00870548i
\(533\) −1.24253e6 + 1.04261e6i −0.189448 + 0.158966i
\(534\) −343306. 4.20882e6i −0.0520989 0.638714i
\(535\) 347404. 1.97022e6i 0.0524747 0.297599i
\(536\) −3.01500e6 2.52988e6i −0.453289 0.380355i
\(537\) 1.29594e6 1.82783e6i 0.193932 0.273527i
\(538\) −6.65307e6 2.42152e6i −0.990984 0.360689i
\(539\) −2.33050e6 −0.345523
\(540\) 232233. 103346.i 0.0342720 0.0152514i
\(541\) −9.23300e6 −1.35628 −0.678141 0.734932i \(-0.737214\pi\)
−0.678141 + 0.734932i \(0.737214\pi\)
\(542\) −5.02851e6 1.83023e6i −0.735260 0.267613i
\(543\) 3.48158e6 + 7.58232e6i 0.506730 + 1.10358i
\(544\) −1.21460e6 1.01917e6i −0.175969 0.147655i
\(545\) −410371. + 2.32733e6i −0.0591814 + 0.335634i
\(546\) 1.92813e6 1.33327e6i 0.276792 0.191397i
\(547\) 8.97053e6 7.52717e6i 1.28189 1.07563i 0.288906 0.957357i \(-0.406708\pi\)
0.992981 0.118274i \(-0.0377360\pi\)
\(548\) 59221.6 + 102575.i 0.00842420 + 0.0145911i
\(549\) −1.31496e6 + 738717.i −0.186201 + 0.104604i
\(550\) 2.10920e6 3.65325e6i 0.297312 0.514959i
\(551\) 348291. + 1.97526e6i 0.0488724 + 0.277169i
\(552\) −94021.9 + 342821.i −0.0131335 + 0.0478872i
\(553\) 8.65319e6 3.14950e6i 1.20327 0.437955i
\(554\) −7.12439e6 + 2.59307e6i −0.986219 + 0.358954i
\(555\) 2.82647e6 + 2.85990e6i 0.389504 + 0.394111i
\(556\) 200974. + 1.13978e6i 0.0275711 + 0.156363i
\(557\) −2.45391e6 + 4.25030e6i −0.335136 + 0.580472i −0.983511 0.180849i \(-0.942115\pi\)
0.648375 + 0.761321i \(0.275449\pi\)
\(558\) −3.62099e6 1.03247e7i −0.492313 1.40375i
\(559\) −2.47984e6 4.29521e6i −0.335656 0.581373i
\(560\) 1.73862e6 1.45887e6i 0.234279 0.196583i
\(561\) 5.65257e6 + 2.67640e6i 0.758296 + 0.359041i
\(562\) −786969. + 4.46312e6i −0.105103 + 0.596071i
\(563\) 8.81692e6 + 7.39827e6i 1.17232 + 0.983693i 0.999999 0.00134852i \(-0.000429247\pi\)
0.172320 + 0.985041i \(0.444874\pi\)
\(564\) −594012. 55489.7i −0.0786317 0.00734538i
\(565\) −3.29949e6 1.20091e6i −0.434836 0.158267i
\(566\) 9.81905e6 1.28833
\(567\) 5.08170e6 1.71539e6i 0.663821 0.224082i
\(568\) 7.70564e6 1.00216
\(569\) 1.24676e7 + 4.53784e6i 1.61437 + 0.587582i 0.982298 0.187327i \(-0.0599826\pi\)
0.632072 + 0.774910i \(0.282205\pi\)
\(570\) −500352. 46740.4i −0.0645042 0.00602567i
\(571\) 39210.6 + 32901.6i 0.00503284 + 0.00422306i 0.645301 0.763929i \(-0.276732\pi\)
−0.640268 + 0.768152i \(0.721177\pi\)
\(572\) −39482.3 + 223915.i −0.00504559 + 0.0286150i
\(573\) 6.00030e6 + 2.84105e6i 0.763460 + 0.361486i
\(574\) 2.38464e6 2.00095e6i 0.302095 0.253488i
\(575\) −173976. 301335.i −0.0219442 0.0380084i
\(576\) −4.62001e6 + 5.37626e6i −0.580212 + 0.675187i
\(577\) −190195. + 329427.i −0.0237826 + 0.0411927i −0.877672 0.479262i \(-0.840904\pi\)
0.853889 + 0.520455i \(0.174238\pi\)
\(578\) 770498. + 4.36971e6i 0.0959294 + 0.544043i
\(579\) −1.05547e6 1.06795e6i −0.130842 0.132390i
\(580\) −522106. + 190031.i −0.0644449 + 0.0234560i
\(581\) −861499. + 313560.i −0.105880 + 0.0385372i
\(582\) 3.40064e6 1.23993e7i 0.416153 1.51737i
\(583\) −937676. 5.31783e6i −0.114257 0.647982i
\(584\) −5.50203e6 + 9.52980e6i −0.667561 + 1.15625i
\(585\) −17993.0 + 1.53038e6i −0.00217377 + 0.184889i
\(586\) 3.50458e6 + 6.07011e6i 0.421592 + 0.730219i
\(587\) −4.66461e6 + 3.91407e6i −0.558753 + 0.468850i −0.877892 0.478858i \(-0.841051\pi\)
0.319139 + 0.947708i \(0.396606\pi\)
\(588\) 327209. 226259.i 0.0390285 0.0269875i
\(589\) −320224. + 1.81608e6i −0.0380334 + 0.215698i
\(590\) 1.72030e6 + 1.44351e6i 0.203458 + 0.170722i
\(591\) −2.53884e6 5.52918e6i −0.298996 0.651166i
\(592\) 1.19635e7 + 4.35437e6i 1.40299 + 0.510648i
\(593\) −1.43821e7 −1.67953 −0.839763 0.542953i \(-0.817306\pi\)
−0.839763 + 0.542953i \(0.817306\pi\)
\(594\) −2.67589e6 + 5.48386e6i −0.311174 + 0.637706i
\(595\) −3.01058e6 −0.348624
\(596\) 1.40131e6 + 510035.i 0.161592 + 0.0588145i
\(597\) −386926. + 545732.i −0.0444316 + 0.0626676i
\(598\) 168517. + 141402.i 0.0192703 + 0.0161697i
\(599\) 2.54779e6 1.44492e7i 0.290132 1.64542i −0.396222 0.918155i \(-0.629679\pi\)
0.686354 0.727267i \(-0.259210\pi\)
\(600\) −569592. 6.98301e6i −0.0645930 0.791889i
\(601\) 6.89234e6 5.78336e6i 0.778360 0.653122i −0.164475 0.986381i \(-0.552593\pi\)
0.942835 + 0.333260i \(0.108149\pi\)
\(602\) 4.75927e6 + 8.24329e6i 0.535240 + 0.927063i
\(603\) −5.49888e6 + 903076.i −0.615858 + 0.101142i
\(604\) 464107. 803856.i 0.0517637 0.0896574i
\(605\) 339431. + 1.92501e6i 0.0377019 + 0.213818i
\(606\) −1.42925e7 + 3.73975e6i −1.58098 + 0.413677i
\(607\) 1.77972e6 647766.i 0.196056 0.0713586i −0.242126 0.970245i \(-0.577845\pi\)
0.438182 + 0.898886i \(0.355623\pi\)
\(608\) −245007. + 89175.1i −0.0268794 + 0.00978328i
\(609\) −1.13416e7 + 2.96764e6i −1.23917 + 0.324241i
\(610\) 143433. + 813447.i 0.0156071 + 0.0885125i
\(611\) 1.79607e6 3.11088e6i 0.194634 0.337117i
\(612\) −1.05348e6 + 173012.i −0.113697 + 0.0186723i
\(613\) 868390. + 1.50410e6i 0.0933391 + 0.161668i 0.908914 0.416983i \(-0.136913\pi\)
−0.815575 + 0.578651i \(0.803579\pi\)
\(614\) 7.05030e6 5.91590e6i 0.754721 0.633286i
\(615\) 165229. + 2.02565e6i 0.0176156 + 0.215962i
\(616\) −737253. + 4.18117e6i −0.0782825 + 0.443962i
\(617\) 1.04114e6 + 873621.i 0.110102 + 0.0923868i 0.696177 0.717870i \(-0.254883\pi\)
−0.586074 + 0.810257i \(0.699327\pi\)
\(618\) 4.70826e6 6.64066e6i 0.495894 0.699423i
\(619\) −5.45920e6 1.98698e6i −0.572667 0.208434i 0.0394221 0.999223i \(-0.487448\pi\)
−0.612089 + 0.790789i \(0.709671\pi\)
\(620\) −510839. −0.0533709
\(621\) 281372. + 417314.i 0.0292787 + 0.0434244i
\(622\) 1.22670e7 1.27135
\(623\) −3.90919e6 1.42283e6i −0.403522 0.146870i
\(624\) 2.02212e6 + 4.40385e6i 0.207896 + 0.452763i
\(625\) 4.04147e6 + 3.39119e6i 0.413846 + 0.347258i
\(626\) −1.33043e6 + 7.54526e6i −0.135693 + 0.769552i
\(627\) 845909. 584931.i 0.0859319 0.0594205i
\(628\) −861519. + 722900.i −0.0871697 + 0.0731441i
\(629\) −8.44393e6 1.46253e7i −0.850977 1.47394i
\(630\) 34531.9 2.93708e6i 0.00346632 0.294825i
\(631\) −6.69017e6 + 1.15877e7i −0.668904 + 1.15858i 0.309307 + 0.950962i \(0.399903\pi\)
−0.978211 + 0.207613i \(0.933430\pi\)
\(632\) 3.02147e6 + 1.71356e7i 0.300902 + 1.70650i
\(633\) 321653. 1.17281e6i 0.0319065 0.116337i
\(634\) −8.47671e6 + 3.08527e6i −0.837537 + 0.304839i
\(635\) −982040. + 357433.i −0.0966484 + 0.0351772i
\(636\) 647941. + 655604.i 0.0635174 + 0.0642686i
\(637\) 415935. + 2.35888e6i 0.0406141 + 0.230334i
\(638\) 6.66883e6 1.15507e7i 0.648631 1.12346i
\(639\) 7.11064e6 8.27459e6i 0.688901 0.801668i
\(640\) 2.32853e6 + 4.03313e6i 0.224715 + 0.389217i
\(641\) 1.55200e7 1.30229e7i 1.49193 1.25188i 0.599755 0.800184i \(-0.295265\pi\)
0.892173 0.451693i \(-0.149180\pi\)
\(642\) −7.40939e6 3.50823e6i −0.709488 0.335931i
\(643\) 2.81281e6 1.59522e7i 0.268295 1.52158i −0.491191 0.871052i \(-0.663438\pi\)
0.759486 0.650524i \(-0.225451\pi\)
\(644\) −27572.3 23135.9i −0.00261974 0.00219822i
\(645\) −6.18755e6 578010.i −0.585624 0.0547062i
\(646\) 1.98333e6 + 721872.i 0.186988 + 0.0680580i
\(647\) 6.91898e6 0.649802 0.324901 0.945748i \(-0.394669\pi\)
0.324901 + 0.945748i \(0.394669\pi\)
\(648\) 1.52469e6 + 1.00191e7i 0.142640 + 0.937325i
\(649\) −4.59591e6 −0.428311
\(650\) −4.07419e6 1.48288e6i −0.378231 0.137665i
\(651\) −1.07320e7 1.00253e6i −0.992493 0.0927139i
\(652\) −422514. 354531.i −0.0389244 0.0326615i
\(653\) −1.17014e6 + 6.63621e6i −0.107388 + 0.609028i 0.882852 + 0.469652i \(0.155621\pi\)
−0.990240 + 0.139376i \(0.955490\pi\)
\(654\) 8.75234e6 + 4.14409e6i 0.800166 + 0.378866i
\(655\) 4.26219e6 3.57641e6i 0.388177 0.325719i
\(656\) 3.21752e6 + 5.57290e6i 0.291918 + 0.505617i
\(657\) 5.15625e6 + 1.47022e7i 0.466037 + 1.32883i
\(658\) −3.44698e6 + 5.97035e6i −0.310366 + 0.537570i
\(659\) −2.39200e6 1.35657e7i −0.214560 1.21683i −0.881669 0.471868i \(-0.843580\pi\)
0.667110 0.744960i \(-0.267531\pi\)
\(660\) 200263. + 202631.i 0.0178954 + 0.0181070i
\(661\) −9.38711e6 + 3.41663e6i −0.835658 + 0.304155i −0.724179 0.689612i \(-0.757781\pi\)
−0.111479 + 0.993767i \(0.535559\pi\)
\(662\) −1.45953e7 + 5.31224e6i −1.29440 + 0.471121i
\(663\) 1.70016e6 6.19909e6i 0.150212 0.547702i
\(664\) −300813. 1.70600e6i −0.0264775 0.150161i
\(665\) −247533. + 428740.i −0.0217060 + 0.0375958i
\(666\) 1.43651e7 8.07002e6i 1.25494 0.705000i
\(667\) −550073. 952754.i −0.0478746 0.0829213i
\(668\) 1.14240e6 958585.i 0.0990549 0.0831169i
\(669\) −1.08437e6 + 749820.i −0.0936721 + 0.0647727i
\(670\) −529941. + 3.00544e6i −0.0456079 + 0.258655i
\(671\) −1.29495e6 1.08659e6i −0.111031 0.0931664i
\(672\) −635926. 1.38495e6i −0.0543230 0.118307i
\(673\) −1.08774e7 3.95905e6i −0.925737 0.336941i −0.165219 0.986257i \(-0.552833\pi\)
−0.760519 + 0.649316i \(0.775055\pi\)
\(674\) −269437. −0.0228459
\(675\) −8.02421e6 5.83216e6i −0.677865 0.492686i
\(676\) −873649. −0.0735310
\(677\) 1.25492e7 + 4.56755e6i 1.05231 + 0.383011i 0.809536 0.587071i \(-0.199719\pi\)
0.242779 + 0.970082i \(0.421941\pi\)
\(678\) −8.32180e6 + 1.17373e7i −0.695253 + 0.980605i
\(679\) −9.70291e6 8.14171e6i −0.807658 0.677705i
\(680\) 987820. 5.60221e6i 0.0819229 0.464608i
\(681\) −168303. 2.06334e6i −0.0139067 0.170492i
\(682\) 9.39386e6 7.88239e6i 0.773363 0.648928i
\(683\) −1.02501e7 1.77536e7i −0.840765 1.45625i −0.889249 0.457424i \(-0.848772\pi\)
0.0484836 0.998824i \(-0.484561\pi\)
\(684\) −61979.4 + 164252.i −0.00506532 + 0.0134237i
\(685\) −446788. + 773860.i −0.0363811 + 0.0630139i
\(686\) −2.36614e6 1.34190e7i −0.191969 1.08871i
\(687\) 1.33508e7 3.49335e6i 1.07923 0.282391i
\(688\) −1.84900e7 + 6.72981e6i −1.48924 + 0.542041i
\(689\) −5.21525e6 + 1.89820e6i −0.418531 + 0.152333i
\(690\) 266661. 69774.2i 0.0213224 0.00557920i
\(691\) 3.25289e6 + 1.84480e7i 0.259163 + 1.46979i 0.785155 + 0.619299i \(0.212583\pi\)
−0.525991 + 0.850490i \(0.676306\pi\)
\(692\) −50019.8 + 86636.8i −0.00397079 + 0.00687761i
\(693\) 3.80957e6 + 4.65001e6i 0.301330 + 0.367808i
\(694\) 6.02157e6 + 1.04297e7i 0.474582 + 0.822000i
\(695\) −6.68877e6 + 5.61254e6i −0.525272 + 0.440755i
\(696\) −1.80092e6 2.20787e7i −0.140920 1.72763i
\(697\) 1.48225e6 8.40626e6i 0.115569 0.655422i
\(698\) 5.02569e6 + 4.21706e6i 0.390443 + 0.327621i
\(699\) −1.03405e7 + 1.45845e7i −0.800473 + 1.12901i
\(700\) 666609. + 242626.i 0.0514193 + 0.0187151i
\(701\) −1.35917e7 −1.04467 −0.522333 0.852741i \(-0.674938\pi\)
−0.522333 + 0.852741i \(0.674938\pi\)
\(702\) 6.02824e6 + 1.72976e6i 0.461687 + 0.132478i
\(703\) −2.77707e6 −0.211933
\(704\) −7.46574e6 2.71731e6i −0.567729 0.206636i
\(705\) −1.87817e6 4.09035e6i −0.142319 0.309948i
\(706\) −1.18397e7 9.93469e6i −0.893983 0.750141i
\(707\) −2.52731e6 + 1.43331e7i −0.190156 + 1.07843i
\(708\) 645280. 446200.i 0.0483799 0.0334539i
\(709\) −4.19159e6 + 3.51716e6i −0.313158 + 0.262771i −0.785796 0.618486i \(-0.787746\pi\)
0.472638 + 0.881257i \(0.343302\pi\)
\(710\) −2.98746e6 5.17444e6i −0.222411 0.385227i
\(711\) 2.11890e7 + 1.25679e7i 1.57194 + 0.932371i
\(712\) 3.93032e6 6.80752e6i 0.290555 0.503256i
\(713\) −175643. 996121.i −0.0129392 0.0733818i
\(714\) −3.26292e6 + 1.18972e7i −0.239530 + 0.873370i
\(715\) −1.61191e6 + 586686.i −0.117917 + 0.0429181i
\(716\) −402826. + 146617.i −0.0293653 + 0.0106881i
\(717\) 6.43616e6 + 6.51228e6i 0.467551 + 0.473080i
\(718\) −476229. 2.70083e6i −0.0344750 0.195518i
\(719\) 1.05477e7 1.82692e7i 0.760914 1.31794i −0.181466 0.983397i \(-0.558084\pi\)
0.942380 0.334545i \(-0.108582\pi\)
\(720\) 5.96688e6 + 1.12461e6i 0.428959 + 0.0808480i
\(721\) −4.00974e6 6.94508e6i −0.287262 0.497553i
\(722\) −1.09529e7 + 9.19060e6i −0.781965 + 0.656147i
\(723\) 1.91126e7 + 9.04952e6i 1.35980 + 0.643843i
\(724\) 277189. 1.57202e6i 0.0196530 0.111458i
\(725\) 1.66100e7 + 1.39375e7i 1.17361 + 0.984780i
\(726\) 7.97512e6 + 744997.i 0.561559 + 0.0524581i
\(727\) −1.63466e6 594967.i −0.114707 0.0417501i 0.284029 0.958816i \(-0.408329\pi\)
−0.398736 + 0.917066i \(0.630551\pi\)
\(728\) 4.36368e6 0.305158
\(729\) 1.21658e7 + 7.60818e6i 0.847855 + 0.530227i
\(730\) 8.53251e6 0.592611
\(731\) 2.45266e7 + 8.92696e6i 1.69763 + 0.617888i
\(732\) 287308. + 26838.9i 0.0198184 + 0.00185134i
\(733\) −2.32665e6 1.95229e6i −0.159945 0.134210i 0.559303 0.828964i \(-0.311069\pi\)
−0.719248 + 0.694753i \(0.755513\pi\)
\(734\) 384614. 2.18126e6i 0.0263503 0.149440i
\(735\) 2.71258e6 + 1.28436e6i 0.185210 + 0.0876939i
\(736\) 109553. 91925.8i 0.00745468 0.00625522i
\(737\) −3.12283e6 5.40889e6i −0.211777 0.366809i
\(738\) 8.18403e6 + 1.54248e6i 0.553129 + 0.104251i
\(739\) −1.93674e6 + 3.35453e6i −0.130455 + 0.225954i −0.923852 0.382750i \(-0.874977\pi\)
0.793397 + 0.608704i \(0.208310\pi\)
\(740\) −133585. 757600.i −0.00896766 0.0508581i
\(741\) −743030. 751817.i −0.0497119 0.0502999i
\(742\) 1.00090e7 3.64298e6i 0.667393 0.242911i
\(743\) 1.34259e7 4.88663e6i 0.892220 0.324741i 0.145089 0.989419i \(-0.453653\pi\)
0.747131 + 0.664677i \(0.231431\pi\)
\(744\) 5.38688e6 1.96416e7i 0.356784 1.30090i
\(745\) 1.95362e6 + 1.10795e7i 0.128959 + 0.731360i
\(746\) −1.35510e6 + 2.34711e6i −0.0891507 + 0.154414i
\(747\) −2.10955e6 1.25124e6i −0.138321 0.0820427i
\(748\) −598274. 1.03624e6i −0.0390972 0.0677184i
\(749\) −6.18674e6 + 5.19129e6i −0.402955 + 0.338120i
\(750\) −9.80053e6 + 6.77690e6i −0.636204 + 0.439924i
\(751\) −2.89119e6 + 1.63967e7i −0.187058 + 1.06086i 0.736224 + 0.676738i \(0.236607\pi\)
−0.923282 + 0.384122i \(0.874504\pi\)
\(752\) −1.09170e7 9.16046e6i −0.703978 0.590708i
\(753\) −1.66038e6 3.61604e6i −0.106713 0.232405i
\(754\) −1.28817e7 4.68854e6i −0.825170 0.300337i
\(755\) 7.00277e6 0.447098
\(756\) −986327. 283019.i −0.0627649 0.0180099i
\(757\) 1.05939e7 0.671921 0.335960 0.941876i \(-0.390939\pi\)
0.335960 + 0.941876i \(0.390939\pi\)
\(758\) −2.20642e7