Properties

Label 27.6.e.a.4.14
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 4.14
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.14

$q$-expansion

\(f(q)\) \(=\) \(q+(10.0391 + 3.65394i) q^{2} +(-15.3240 + 2.85912i) q^{3} +(62.9193 + 52.7956i) q^{4} +(-7.04748 + 39.9683i) q^{5} +(-164.287 - 27.2900i) q^{6} +(72.7973 - 61.0842i) q^{7} +(267.808 + 463.857i) q^{8} +(226.651 - 87.6263i) q^{9} +O(q^{10})\) \(q+(10.0391 + 3.65394i) q^{2} +(-15.3240 + 2.85912i) q^{3} +(62.9193 + 52.7956i) q^{4} +(-7.04748 + 39.9683i) q^{5} +(-164.287 - 27.2900i) q^{6} +(72.7973 - 61.0842i) q^{7} +(267.808 + 463.857i) q^{8} +(226.651 - 87.6263i) q^{9} +(-216.792 + 375.495i) q^{10} +(-133.797 - 758.801i) q^{11} +(-1115.12 - 629.146i) q^{12} +(-233.784 + 85.0905i) q^{13} +(954.019 - 347.235i) q^{14} +(-6.27816 - 632.624i) q^{15} +(537.246 + 3046.88i) q^{16} +(73.8617 - 127.932i) q^{17} +(2595.56 - 51.5217i) q^{18} +(63.9386 + 110.745i) q^{19} +(-2553.57 + 2142.70i) q^{20} +(-940.900 + 1144.19i) q^{21} +(1429.41 - 8106.59i) q^{22} +(1263.19 + 1059.94i) q^{23} +(-5430.12 - 6342.46i) q^{24} +(1388.74 + 505.462i) q^{25} -2657.90 q^{26} +(-3222.67 + 1990.81i) q^{27} +7805.33 q^{28} +(-6454.19 - 2349.13i) q^{29} +(2248.54 - 6373.93i) q^{30} +(395.907 + 332.206i) q^{31} +(-2763.34 + 15671.7i) q^{32} +(4219.81 + 11245.3i) q^{33} +(1208.96 - 1014.44i) q^{34} +(1928.39 + 3340.07i) q^{35} +(18887.0 + 6452.78i) q^{36} +(2892.03 - 5009.15i) q^{37} +(237.232 + 1345.41i) q^{38} +(3339.23 - 1972.34i) q^{39} +(-20426.9 + 7434.80i) q^{40} +(-16796.5 + 6113.44i) q^{41} +(-13626.6 + 8048.68i) q^{42} +(649.157 + 3681.55i) q^{43} +(31642.9 - 54807.2i) q^{44} +(1904.95 + 9676.39i) q^{45} +(8808.37 + 15256.5i) q^{46} +(1917.07 - 1608.61i) q^{47} +(-16944.1 - 45154.3i) q^{48} +(-1350.34 + 7658.14i) q^{49} +(12094.9 + 10148.8i) q^{50} +(-766.085 + 2171.61i) q^{51} +(-19201.9 - 6988.93i) q^{52} -24165.2 q^{53} +(-39627.1 + 8210.52i) q^{54} +31270.9 q^{55} +(47830.0 + 17408.7i) q^{56} +(-1296.43 - 1514.25i) q^{57} +(-56210.8 - 47166.5i) q^{58} +(1083.67 - 6145.77i) q^{59} +(33004.7 - 40135.7i) q^{60} +(7640.00 - 6410.72i) q^{61} +(2760.70 + 4781.68i) q^{62} +(11147.0 - 20223.7i) q^{63} +(-35503.0 + 61493.0i) q^{64} +(-1753.33 - 9943.62i) q^{65} +(1273.37 + 128312. i) q^{66} +(42659.7 - 15526.9i) q^{67} +(11401.6 - 4149.84i) q^{68} +(-22387.7 - 12631.0i) q^{69} +(7154.93 + 40577.6i) q^{70} +(2034.92 - 3524.59i) q^{71} +(101345. + 81666.6i) q^{72} +(-17196.5 - 29785.2i) q^{73} +(47336.6 - 39720.1i) q^{74} +(-22726.3 - 3775.12i) q^{75} +(-1823.87 + 10343.7i) q^{76} +(-56090.8 - 47065.8i) q^{77} +(40729.8 - 7599.26i) q^{78} +(1863.72 + 678.338i) q^{79} -125565. q^{80} +(43692.3 - 39721.2i) q^{81} -190961. q^{82} +(-56779.1 - 20665.9i) q^{83} +(-119609. + 22316.3i) q^{84} +(4592.69 + 3853.72i) q^{85} +(-6935.21 + 39331.5i) q^{86} +(105621. + 17544.9i) q^{87} +(316144. - 265276. i) q^{88} +(57980.8 + 100426. i) q^{89} +(-16232.9 + 104103. i) q^{90} +(-11821.2 + 20474.9i) q^{91} +(23518.8 + 133382. i) q^{92} +(-7016.71 - 3958.78i) q^{93} +(25123.4 - 9144.18i) q^{94} +(-4876.89 + 1775.04i) q^{95} +(-2461.69 - 248054. i) q^{96} +(20489.1 + 116200. i) q^{97} +(-41538.6 + 71947.0i) q^{98} +(-96816.2 - 160259. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 10.0391 + 3.65394i 1.77468 + 0.645932i 0.999906 + 0.0136973i \(0.00436011\pi\)
0.774777 + 0.632235i \(0.217862\pi\)
\(3\) −15.3240 + 2.85912i −0.983036 + 0.183412i
\(4\) 62.9193 + 52.7956i 1.96623 + 1.64986i
\(5\) −7.04748 + 39.9683i −0.126069 + 0.714974i 0.854598 + 0.519290i \(0.173804\pi\)
−0.980667 + 0.195684i \(0.937307\pi\)
\(6\) −164.287 27.2900i −1.86305 0.309475i
\(7\) 72.7973 61.0842i 0.561526 0.471176i −0.317295 0.948327i \(-0.602775\pi\)
0.878822 + 0.477150i \(0.158330\pi\)
\(8\) 267.808 + 463.857i 1.47944 + 2.56247i
\(9\) 226.651 87.6263i 0.932720 0.360602i
\(10\) −216.792 + 375.495i −0.685557 + 1.18742i
\(11\) −133.797 758.801i −0.333400 1.89080i −0.442493 0.896772i \(-0.645906\pi\)
0.109093 0.994032i \(-0.465205\pi\)
\(12\) −1115.12 629.146i −2.23548 1.26124i
\(13\) −233.784 + 85.0905i −0.383669 + 0.139644i −0.526652 0.850081i \(-0.676553\pi\)
0.142983 + 0.989725i \(0.454331\pi\)
\(14\) 954.019 347.235i 1.30088 0.473481i
\(15\) −6.27816 632.624i −0.00720451 0.725968i
\(16\) 537.246 + 3046.88i 0.524655 + 2.97546i
\(17\) 73.8617 127.932i 0.0619865 0.107364i −0.833367 0.552720i \(-0.813590\pi\)
0.895353 + 0.445357i \(0.146923\pi\)
\(18\) 2595.56 51.5217i 1.88821 0.0374808i
\(19\) 63.9386 + 110.745i 0.0406330 + 0.0703785i 0.885627 0.464398i \(-0.153729\pi\)
−0.844994 + 0.534776i \(0.820396\pi\)
\(20\) −2553.57 + 2142.70i −1.42749 + 1.19781i
\(21\) −940.900 + 1144.19i −0.465581 + 0.566174i
\(22\) 1429.41 8106.59i 0.629652 3.57093i
\(23\) 1263.19 + 1059.94i 0.497909 + 0.417795i 0.856851 0.515565i \(-0.172418\pi\)
−0.358942 + 0.933360i \(0.616862\pi\)
\(24\) −5430.12 6342.46i −1.92434 2.24766i
\(25\) 1388.74 + 505.462i 0.444398 + 0.161748i
\(26\) −2657.90 −0.771091
\(27\) −3222.67 + 1990.81i −0.850758 + 0.525557i
\(28\) 7805.33 1.88146
\(29\) −6454.19 2349.13i −1.42511 0.518696i −0.489581 0.871958i \(-0.662850\pi\)
−0.935524 + 0.353262i \(0.885072\pi\)
\(30\) 2248.54 6373.93i 0.456140 1.29302i
\(31\) 395.907 + 332.206i 0.0739928 + 0.0620873i 0.679034 0.734107i \(-0.262399\pi\)
−0.605041 + 0.796194i \(0.706843\pi\)
\(32\) −2763.34 + 15671.7i −0.477046 + 2.70546i
\(33\) 4219.81 + 11245.3i 0.674541 + 1.79758i
\(34\) 1208.96 1014.44i 0.179356 0.150498i
\(35\) 1928.39 + 3340.07i 0.266088 + 0.460878i
\(36\) 18887.0 + 6452.78i 2.42888 + 0.829833i
\(37\) 2892.03 5009.15i 0.347295 0.601533i −0.638473 0.769644i \(-0.720434\pi\)
0.985768 + 0.168111i \(0.0537669\pi\)
\(38\) 237.232 + 1345.41i 0.0266511 + 0.151146i
\(39\) 3339.23 1972.34i 0.351548 0.207645i
\(40\) −20426.9 + 7434.80i −2.01861 + 0.734715i
\(41\) −16796.5 + 6113.44i −1.56049 + 0.567971i −0.970848 0.239696i \(-0.922952\pi\)
−0.589639 + 0.807667i \(0.700730\pi\)
\(42\) −13626.6 + 8048.68i −1.19197 + 0.704047i
\(43\) 649.157 + 3681.55i 0.0535400 + 0.303640i 0.999805 0.0197521i \(-0.00628770\pi\)
−0.946265 + 0.323393i \(0.895177\pi\)
\(44\) 31642.9 54807.2i 2.46402 4.26781i
\(45\) 1904.95 + 9676.39i 0.140234 + 0.712331i
\(46\) 8808.37 + 15256.5i 0.613763 + 1.06307i
\(47\) 1917.07 1608.61i 0.126588 0.106220i −0.577296 0.816535i \(-0.695892\pi\)
0.703884 + 0.710315i \(0.251448\pi\)
\(48\) −16944.1 45154.3i −1.06149 2.82876i
\(49\) −1350.34 + 7658.14i −0.0803437 + 0.455652i
\(50\) 12094.9 + 10148.8i 0.684188 + 0.574102i
\(51\) −766.085 + 2171.61i −0.0412431 + 0.116912i
\(52\) −19201.9 6988.93i −0.984774 0.358428i
\(53\) −24165.2 −1.18168 −0.590841 0.806788i \(-0.701204\pi\)
−0.590841 + 0.806788i \(0.701204\pi\)
\(54\) −39627.1 + 8210.52i −1.84930 + 0.383165i
\(55\) 31270.9 1.39391
\(56\) 47830.0 + 17408.7i 2.03812 + 0.741817i
\(57\) −1296.43 1514.25i −0.0528520 0.0617320i
\(58\) −56210.8 47166.5i −2.19407 1.84104i
\(59\) 1083.67 6145.77i 0.0405289 0.229851i −0.957814 0.287387i \(-0.907213\pi\)
0.998343 + 0.0575362i \(0.0183245\pi\)
\(60\) 33004.7 40135.7i 1.18358 1.43930i
\(61\) 7640.00 6410.72i 0.262887 0.220588i −0.501811 0.864977i \(-0.667333\pi\)
0.764698 + 0.644389i \(0.222888\pi\)
\(62\) 2760.70 + 4781.68i 0.0912096 + 0.157980i
\(63\) 11147.0 20223.7i 0.353840 0.641963i
\(64\) −35503.0 + 61493.0i −1.08347 + 1.87662i
\(65\) −1753.33 9943.62i −0.0514730 0.291918i
\(66\) 1273.37 + 128312.i 0.0359828 + 3.62584i
\(67\) 42659.7 15526.9i 1.16100 0.422568i 0.311543 0.950232i \(-0.399154\pi\)
0.849453 + 0.527664i \(0.176932\pi\)
\(68\) 11401.6 4149.84i 0.299015 0.108832i
\(69\) −22387.7 12631.0i −0.566091 0.319385i
\(70\) 7154.93 + 40577.6i 0.174526 + 0.989786i
\(71\) 2034.92 3524.59i 0.0479074 0.0829780i −0.841077 0.540915i \(-0.818078\pi\)
0.888985 + 0.457937i \(0.151411\pi\)
\(72\) 101345. + 81666.6i 2.30394 + 1.85658i
\(73\) −17196.5 29785.2i −0.377687 0.654173i 0.613038 0.790053i \(-0.289947\pi\)
−0.990725 + 0.135880i \(0.956614\pi\)
\(74\) 47336.6 39720.1i 1.00489 0.843201i
\(75\) −22726.3 3775.12i −0.466526 0.0774957i
\(76\) −1823.87 + 10343.7i −0.0362209 + 0.205419i
\(77\) −56090.8 47065.8i −1.07811 0.904646i
\(78\) 40729.8 7599.26i 0.758011 0.141428i
\(79\) 1863.72 + 678.338i 0.0335979 + 0.0122286i 0.358764 0.933428i \(-0.383198\pi\)
−0.325167 + 0.945657i \(0.605420\pi\)
\(80\) −125565. −2.19352
\(81\) 43692.3 39721.2i 0.739932 0.672681i
\(82\) −190961. −3.13624
\(83\) −56779.1 20665.9i −0.904677 0.329275i −0.152552 0.988296i \(-0.548749\pi\)
−0.752125 + 0.659020i \(0.770971\pi\)
\(84\) −119609. + 22316.3i −1.84955 + 0.345084i
\(85\) 4592.69 + 3853.72i 0.0689477 + 0.0578540i
\(86\) −6935.21 + 39331.5i −0.101114 + 0.573449i
\(87\) 105621. + 17544.9i 1.49607 + 0.248515i
\(88\) 316144. 265276.i 4.35189 3.65167i
\(89\) 57980.8 + 100426.i 0.775906 + 1.34391i 0.934284 + 0.356531i \(0.116040\pi\)
−0.158377 + 0.987379i \(0.550626\pi\)
\(90\) −16232.9 + 104103.i −0.211247 + 1.35474i
\(91\) −11821.2 + 20474.9i −0.149643 + 0.259190i
\(92\) 23518.8 + 133382.i 0.289698 + 1.64296i
\(93\) −7016.71 3958.78i −0.0841252 0.0474629i
\(94\) 25123.4 9144.18i 0.293264 0.106739i
\(95\) −4876.89 + 1775.04i −0.0554414 + 0.0201790i
\(96\) −2461.69 248054.i −0.0272619 2.74706i
\(97\) 20489.1 + 116200.i 0.221103 + 1.25394i 0.869997 + 0.493057i \(0.164121\pi\)
−0.648894 + 0.760879i \(0.724768\pi\)
\(98\) −41538.6 + 71947.0i −0.436905 + 0.756741i
\(99\) −96816.2 160259.i −0.992796 1.64337i
\(100\) 60692.7 + 105123.i 0.606927 + 1.05123i
\(101\) 59833.3 50206.1i 0.583633 0.489726i −0.302505 0.953148i \(-0.597823\pi\)
0.886138 + 0.463422i \(0.153378\pi\)
\(102\) −15625.8 + 19001.9i −0.148710 + 0.180841i
\(103\) −1984.74 + 11256.0i −0.0184336 + 0.104542i −0.992636 0.121132i \(-0.961347\pi\)
0.974203 + 0.225674i \(0.0724586\pi\)
\(104\) −102079. 85654.6i −0.925451 0.776546i
\(105\) −39100.3 45669.8i −0.346105 0.404255i
\(106\) −242597. 88298.2i −2.09711 0.763286i
\(107\) 90298.8 0.762470 0.381235 0.924478i \(-0.375499\pi\)
0.381235 + 0.924478i \(0.375499\pi\)
\(108\) −307874. 44882.4i −2.53988 0.370268i
\(109\) 137888. 1.11163 0.555814 0.831307i \(-0.312407\pi\)
0.555814 + 0.831307i \(0.312407\pi\)
\(110\) 313933. + 114262.i 2.47374 + 0.900369i
\(111\) −29995.8 + 85028.9i −0.231075 + 0.655027i
\(112\) 225226. + 188987.i 1.69658 + 1.42360i
\(113\) −17682.2 + 100281.i −0.130269 + 0.738791i 0.847769 + 0.530365i \(0.177945\pi\)
−0.978038 + 0.208426i \(0.933166\pi\)
\(114\) −7482.03 19938.8i −0.0539209 0.143694i
\(115\) −51266.4 + 43017.7i −0.361484 + 0.303321i
\(116\) −282069. 488559.i −1.94631 3.37110i
\(117\) −45531.2 + 39771.5i −0.307500 + 0.268601i
\(118\) 33335.4 57738.5i 0.220394 0.381734i
\(119\) −2437.70 13824.9i −0.0157802 0.0894941i
\(120\) 291766. 172334.i 1.84961 1.09249i
\(121\) −406540. + 147968.i −2.52429 + 0.918767i
\(122\) 100123. 36441.9i 0.609026 0.221667i
\(123\) 239911. 141706.i 1.42984 0.844548i
\(124\) 7371.23 + 41804.3i 0.0430512 + 0.244156i
\(125\) −93403.4 + 161779.i −0.534672 + 0.926079i
\(126\) 185802. 162298.i 1.04262 0.910725i
\(127\) 100965. + 174877.i 0.555472 + 0.962105i 0.997867 + 0.0652847i \(0.0207956\pi\)
−0.442395 + 0.896820i \(0.645871\pi\)
\(128\) −191018. + 160283.i −1.03050 + 0.864693i
\(129\) −20473.7 54560.1i −0.108323 0.288670i
\(130\) 18731.5 106232.i 0.0972109 0.551310i
\(131\) −6075.70 5098.12i −0.0309327 0.0259556i 0.627190 0.778866i \(-0.284205\pi\)
−0.658123 + 0.752910i \(0.728649\pi\)
\(132\) −328197. + 930336.i −1.63945 + 4.64735i
\(133\) 11419.3 + 4156.29i 0.0559772 + 0.0203740i
\(134\) 485000. 2.33335
\(135\) −56857.4 142835.i −0.268505 0.674527i
\(136\) 79123.0 0.366822
\(137\) −23782.7 8656.20i −0.108258 0.0394027i 0.287323 0.957834i \(-0.407235\pi\)
−0.395581 + 0.918431i \(0.629457\pi\)
\(138\) −178600. 208607.i −0.798331 0.932463i
\(139\) −105891. 88853.1i −0.464860 0.390064i 0.380056 0.924964i \(-0.375905\pi\)
−0.844915 + 0.534900i \(0.820349\pi\)
\(140\) −55007.9 + 311965.i −0.237195 + 1.34520i
\(141\) −24777.9 + 30131.5i −0.104958 + 0.127636i
\(142\) 33307.5 27948.3i 0.138619 0.116315i
\(143\) 95846.4 + 166011.i 0.391955 + 0.678885i
\(144\) 388754. + 643500.i 1.56231 + 2.58608i
\(145\) 139377. 241407.i 0.550516 0.953522i
\(146\) −63804.2 361852.i −0.247724 1.40491i
\(147\) −1202.93 121214.i −0.00459142 0.462658i
\(148\) 446425. 162486.i 1.67531 0.609762i
\(149\) −297282. + 108202.i −1.09699 + 0.399271i −0.826205 0.563369i \(-0.809505\pi\)
−0.270783 + 0.962640i \(0.587283\pi\)
\(150\) −214358. 120940.i −0.777879 0.438874i
\(151\) 52649.2 + 298589.i 0.187910 + 1.06569i 0.922159 + 0.386810i \(0.126423\pi\)
−0.734250 + 0.678880i \(0.762466\pi\)
\(152\) −34246.6 + 59316.8i −0.120229 + 0.208242i
\(153\) 5530.60 35468.2i 0.0191004 0.122493i
\(154\) −391127. 677452.i −1.32897 2.30185i
\(155\) −16067.8 + 13482.5i −0.0537190 + 0.0450756i
\(156\) 314233. + 52197.9i 1.03381 + 0.171728i
\(157\) 60055.8 340593.i 0.194449 1.10278i −0.718752 0.695266i \(-0.755286\pi\)
0.913201 0.407509i \(-0.133603\pi\)
\(158\) 16231.5 + 13619.8i 0.0517268 + 0.0434039i
\(159\) 370308. 69091.1i 1.16164 0.216735i
\(160\) −606896. 220892.i −1.87419 0.682151i
\(161\) 156703. 0.476444
\(162\) 583771. 239117.i 1.74765 0.715850i
\(163\) 113171. 0.333630 0.166815 0.985988i \(-0.446652\pi\)
0.166815 + 0.985988i \(0.446652\pi\)
\(164\) −1.37959e6 502129.i −4.00535 1.45783i
\(165\) −479196. + 89407.2i −1.37026 + 0.255660i
\(166\) −494501. 414935.i −1.39283 1.16872i
\(167\) 88646.4 502739.i 0.245963 1.39493i −0.572282 0.820057i \(-0.693942\pi\)
0.818245 0.574870i \(-0.194947\pi\)
\(168\) −782722. 130020.i −2.13961 0.355415i
\(169\) −237012. + 198877.i −0.638343 + 0.535633i
\(170\) 32025.3 + 55469.4i 0.0849906 + 0.147208i
\(171\) 24195.9 + 19497.7i 0.0632779 + 0.0509911i
\(172\) −153525. + 265913.i −0.395693 + 0.685360i
\(173\) −46968.0 266369.i −0.119313 0.676656i −0.984524 0.175249i \(-0.943927\pi\)
0.865211 0.501407i \(-0.167184\pi\)
\(174\) 996230. + 562067.i 2.49452 + 1.40739i
\(175\) 131973. 48034.1i 0.325753 0.118564i
\(176\) 2.24009e6 815327.i 5.45110 1.98404i
\(177\) 965.370 + 97276.3i 0.00231612 + 0.233385i
\(178\) 215127. + 1.22004e6i 0.508914 + 2.88620i
\(179\) 7422.95 12856.9i 0.0173159 0.0299920i −0.857238 0.514921i \(-0.827821\pi\)
0.874553 + 0.484929i \(0.161155\pi\)
\(180\) −391012. + 709404.i −0.899516 + 1.63197i
\(181\) 255548. + 442623.i 0.579798 + 1.00424i 0.995502 + 0.0947396i \(0.0302018\pi\)
−0.415704 + 0.909500i \(0.636465\pi\)
\(182\) −193488. + 162356.i −0.432988 + 0.363320i
\(183\) −98746.5 + 120082.i −0.217969 + 0.265063i
\(184\) −153370. + 869802.i −0.333960 + 1.89398i
\(185\) 179825. + 150891.i 0.386297 + 0.324142i
\(186\) −55976.4 65381.3i −0.118638 0.138571i
\(187\) −106958. 38929.4i −0.223670 0.0814092i
\(188\) 205548. 0.424149
\(189\) −112995. + 341779.i −0.230093 + 0.695971i
\(190\) −55445.6 −0.111425
\(191\) 193263. + 70342.1i 0.383324 + 0.139518i 0.526492 0.850180i \(-0.323507\pi\)
−0.143169 + 0.989698i \(0.545729\pi\)
\(192\) 368233. 1.04383e6i 0.720891 2.04350i
\(193\) −134418. 112790.i −0.259755 0.217960i 0.503604 0.863934i \(-0.332007\pi\)
−0.763359 + 0.645974i \(0.776451\pi\)
\(194\) −218894. + 1.24141e6i −0.417570 + 2.36816i
\(195\) 55298.0 + 147363.i 0.104141 + 0.277525i
\(196\) −489278. + 410553.i −0.909736 + 0.763359i
\(197\) 92088.0 + 159501.i 0.169059 + 0.292818i 0.938089 0.346394i \(-0.112594\pi\)
−0.769031 + 0.639212i \(0.779261\pi\)
\(198\) −386373. 1.96262e6i −0.700396 3.55773i
\(199\) 445697. 771969.i 0.797823 1.38187i −0.123208 0.992381i \(-0.539318\pi\)
0.921031 0.389489i \(-0.127348\pi\)
\(200\) 137455. + 779546.i 0.242988 + 1.37806i
\(201\) −609325. + 359903.i −1.06380 + 0.628341i
\(202\) 784124. 285398.i 1.35209 0.492122i
\(203\) −613343. + 223238.i −1.04463 + 0.380215i
\(204\) −162853. + 96190.6i −0.273981 + 0.161829i
\(205\) −125970. 714413.i −0.209355 1.18731i
\(206\) −61053.8 + 105748.i −0.100241 + 0.173622i
\(207\) 379183. + 129548.i 0.615067 + 0.210139i
\(208\) −384860. 666597.i −0.616800 1.06833i
\(209\) 75478.6 63334.1i 0.119525 0.100293i
\(210\) −225658. 601355.i −0.353104 0.940985i
\(211\) −67652.1 + 383674.i −0.104610 + 0.593276i 0.886765 + 0.462221i \(0.152947\pi\)
−0.991375 + 0.131054i \(0.958164\pi\)
\(212\) −1.52046e6 1.27581e6i −2.32346 1.94961i
\(213\) −21106.0 + 59829.0i −0.0318755 + 0.0903572i
\(214\) 906521. + 329947.i 1.35314 + 0.492504i
\(215\) −151720. −0.223845
\(216\) −1.78651e6 961704.i −2.60538 1.40251i
\(217\) 49113.5 0.0708030
\(218\) 1.38427e6 + 503834.i 1.97279 + 0.718036i
\(219\) 348678. + 407262.i 0.491264 + 0.573803i
\(220\) 1.96754e6 + 1.65097e6i 2.74074 + 2.29975i
\(221\) −6381.88 + 36193.5i −0.00878958 + 0.0498482i
\(222\) −611822. + 744013.i −0.833188 + 1.01321i
\(223\) 685904. 575542.i 0.923637 0.775023i −0.0510274 0.998697i \(-0.516250\pi\)
0.974664 + 0.223674i \(0.0718051\pi\)
\(224\) 756129. + 1.30965e6i 1.00688 + 1.74396i
\(225\) 359052. 7127.17i 0.472826 0.00938557i
\(226\) −543934. + 942122.i −0.708395 + 1.22698i
\(227\) −156969. 890214.i −0.202185 1.14665i −0.901808 0.432136i \(-0.857760\pi\)
0.699624 0.714512i \(-0.253351\pi\)
\(228\) −1624.77 163721.i −0.00206993 0.208578i
\(229\) −914170. + 332731.i −1.15196 + 0.419280i −0.846220 0.532834i \(-0.821127\pi\)
−0.305743 + 0.952114i \(0.598905\pi\)
\(230\) −671854. + 244535.i −0.837443 + 0.304804i
\(231\) 994103. + 560867.i 1.22575 + 0.691560i
\(232\) −638822. 3.62294e6i −0.779220 4.41918i
\(233\) 335628. 581325.i 0.405013 0.701503i −0.589310 0.807907i \(-0.700600\pi\)
0.994323 + 0.106404i \(0.0339337\pi\)
\(234\) −602416. + 232902.i −0.719212 + 0.278057i
\(235\) 50782.8 + 87958.4i 0.0599856 + 0.103898i
\(236\) 392653. 329475.i 0.458912 0.385072i
\(237\) −30499.1 5066.27i −0.0352708 0.00585892i
\(238\) 26043.0 147697.i 0.0298022 0.169017i
\(239\) −999228. 838452.i −1.13154 0.949475i −0.132411 0.991195i \(-0.542272\pi\)
−0.999129 + 0.0417199i \(0.986716\pi\)
\(240\) 1.92415e6 359004.i 2.15631 0.402319i
\(241\) −187169. 68123.9i −0.207583 0.0755539i 0.236136 0.971720i \(-0.424119\pi\)
−0.443719 + 0.896166i \(0.646341\pi\)
\(242\) −4.62197e6 −5.07328
\(243\) −555974. + 733609.i −0.604002 + 0.796983i
\(244\) 819161. 0.880836
\(245\) −296566. 107941.i −0.315650 0.114887i
\(246\) 2.92628e6 545979.i 3.08304 0.575225i
\(247\) −24371.2 20449.8i −0.0254176 0.0213279i
\(248\) −48068.8 + 272612.i −0.0496289 + 0.281459i
\(249\) 929171. + 154347.i 0.949723 + 0.157761i
\(250\) −1.52882e6 + 1.28283e6i −1.54706 + 1.29814i
\(251\) 596303. + 1.03283e6i 0.597424 + 1.03477i 0.993200 + 0.116422i \(0.0371425\pi\)
−0.395776 + 0.918347i \(0.629524\pi\)
\(252\) 1.76908e6 683952.i 1.75488 0.678460i
\(253\) 635276. 1.10033e6i 0.623966 1.08074i
\(254\) 374612. + 2.12453e6i 0.364332 + 2.06623i
\(255\) −81396.7 45923.5i −0.0783892 0.0442267i
\(256\) −368150. + 133996.i −0.351095 + 0.127788i
\(257\) 1.88330e6 685464.i 1.77863 0.647369i 0.778833 0.627231i \(-0.215812\pi\)
0.999797 0.0201375i \(-0.00641040\pi\)
\(258\) −6178.14 622545.i −0.00577841 0.582266i
\(259\) −95447.5 541310.i −0.0884128 0.501414i
\(260\) 414661. 718213.i 0.380417 0.658901i
\(261\) −1.66869e6 + 33123.5i −1.51627 + 0.0300978i
\(262\) −42366.5 73380.9i −0.0381302 0.0660435i
\(263\) −672972. + 564691.i −0.599940 + 0.503409i −0.891426 0.453166i \(-0.850295\pi\)
0.291487 + 0.956575i \(0.405850\pi\)
\(264\) −4.08613e6 + 4.96898e6i −3.60830 + 4.38791i
\(265\) 170304. 965840.i 0.148974 0.844871i
\(266\) 99453.1 + 83451.1i 0.0861816 + 0.0723149i
\(267\) −1.17563e6 1.37315e6i −1.00923 1.17880i
\(268\) 3.50387e6 + 1.27530e6i 2.97996 + 1.08462i
\(269\) 1.29899e6 1.09452 0.547262 0.836961i \(-0.315670\pi\)
0.547262 + 0.836961i \(0.315670\pi\)
\(270\) −48889.2 1.64169e6i −0.0408135 1.37051i
\(271\) −1.66725e6 −1.37904 −0.689521 0.724266i \(-0.742179\pi\)
−0.689521 + 0.724266i \(0.742179\pi\)
\(272\) 429476. + 156316.i 0.351979 + 0.128110i
\(273\) 122608. 347555.i 0.0995661 0.282239i
\(274\) −207128. 173801.i −0.166672 0.139855i
\(275\) 197735. 1.12141e6i 0.157671 0.894197i
\(276\) −741757. 1.97670e6i −0.586123 1.56196i
\(277\) 14471.5 12143.0i 0.0113322 0.00950884i −0.637104 0.770778i \(-0.719868\pi\)
0.648436 + 0.761269i \(0.275423\pi\)
\(278\) −738389. 1.27893e6i −0.573024 0.992507i
\(279\) 118843. + 40602.9i 0.0914034 + 0.0312281i
\(280\) −1.03288e6 + 1.78900e6i −0.787324 + 1.36369i
\(281\) 68405.1 + 387945.i 0.0516801 + 0.293092i 0.999683 0.0251687i \(-0.00801231\pi\)
−0.948003 + 0.318261i \(0.896901\pi\)
\(282\) −358847. + 211956.i −0.268712 + 0.158717i
\(283\) −665182. + 242106.i −0.493713 + 0.179697i −0.576864 0.816840i \(-0.695724\pi\)
0.0831513 + 0.996537i \(0.473502\pi\)
\(284\) 314119. 114330.i 0.231099 0.0841132i
\(285\) 69658.5 41144.4i 0.0507998 0.0300053i
\(286\) 355620. + 2.01682e6i 0.257082 + 1.45798i
\(287\) −849308. + 1.47104e6i −0.608640 + 1.05420i
\(288\) 746939. + 3.79415e6i 0.530645 + 2.69546i
\(289\) 699017. + 1.21073e6i 0.492315 + 0.852715i
\(290\) 2.28131e6 1.91424e6i 1.59290 1.33660i
\(291\) −646204. 1.72206e6i −0.447339 1.19211i
\(292\) 490534. 2.78196e6i 0.336676 1.90939i
\(293\) 1.47551e6 + 1.23810e6i 1.00409 + 0.842534i 0.987546 0.157329i \(-0.0502885\pi\)
0.0165463 + 0.999863i \(0.494733\pi\)
\(294\) 430833. 1.22128e6i 0.290697 0.824037i
\(295\) 237999. + 86624.5i 0.159228 + 0.0579543i
\(296\) 3.09804e6 2.05522
\(297\) 1.94181e6 + 2.17900e6i 1.27737 + 1.43340i
\(298\) −3.37981e6 −2.20471
\(299\) −385505. 140312.i −0.249375 0.0907650i
\(300\) −1.23061e6 1.43738e6i −0.789439 0.922078i
\(301\) 272141. + 228354.i 0.173132 + 0.145275i
\(302\) −562473. + 3.18994e6i −0.354882 + 2.01264i
\(303\) −773342. + 940430.i −0.483910 + 0.588464i
\(304\) −303075. + 254310.i −0.188090 + 0.157827i
\(305\) 202383. + 350537.i 0.124573 + 0.215767i
\(306\) 185121. 335861.i 0.113019 0.205048i
\(307\) −1.25565e6 + 2.17485e6i −0.760367 + 1.31699i 0.182295 + 0.983244i \(0.441647\pi\)
−0.942662 + 0.333750i \(0.891686\pi\)
\(308\) −1.04433e6 5.92269e6i −0.627280 3.55748i
\(309\) −1768.08 178162.i −0.00105343 0.106150i
\(310\) −210571. + 76641.7i −0.124450 + 0.0452961i
\(311\) 940582. 342344.i 0.551437 0.200707i −0.0512480 0.998686i \(-0.516320\pi\)
0.602685 + 0.797979i \(0.294098\pi\)
\(312\) 1.80916e6 + 1.02072e6i 1.05218 + 0.593633i
\(313\) −425923. 2.41553e6i −0.245737 1.39364i −0.818775 0.574114i \(-0.805347\pi\)
0.573039 0.819528i \(-0.305764\pi\)
\(314\) 1.84742e6 3.19982e6i 1.05740 1.83148i
\(315\) 729749. + 588052.i 0.414379 + 0.333918i
\(316\) 81450.6 + 141077.i 0.0458856 + 0.0794762i
\(317\) −1.34135e6 + 1.12552e6i −0.749709 + 0.629081i −0.935426 0.353523i \(-0.884984\pi\)
0.185717 + 0.982603i \(0.440539\pi\)
\(318\) 3.97002e6 + 659469.i 2.20153 + 0.365701i
\(319\) −918974. + 5.21176e6i −0.505622 + 2.86753i
\(320\) −2.20756e6 1.85236e6i −1.20514 1.01123i
\(321\) −1.38374e6 + 258175.i −0.749535 + 0.139846i
\(322\) 1.57316e6 + 572583.i 0.845537 + 0.307750i
\(323\) 18890.5 0.0100748
\(324\) 4.84619e6 192469.i 2.56471 0.101859i
\(325\) −367676. −0.193089
\(326\) 1.13614e6 + 413520.i 0.592088 + 0.215502i
\(327\) −2.11299e6 + 394237.i −1.09277 + 0.203886i
\(328\) −7.33401e6 6.15397e6i −3.76406 3.15842i
\(329\) 41296.6 234205.i 0.0210341 0.119290i
\(330\) −5.13740e6 853385.i −2.59692 0.431380i
\(331\) −1.49533e6 + 1.25473e6i −0.750185 + 0.629480i −0.935552 0.353190i \(-0.885097\pi\)
0.185367 + 0.982669i \(0.440653\pi\)
\(332\) −2.48143e6 4.29797e6i −1.23554 2.14002i
\(333\) 216549. 1.38875e6i 0.107015 0.686297i
\(334\) 2.72691e6 4.72315e6i 1.33753 2.31668i
\(335\) 319938. + 1.81446e6i 0.155759 + 0.883355i
\(336\) −3.99170e6 2.25209e6i −1.92890 1.08827i
\(337\) 2.10406e6 765817.i 1.00922 0.367325i 0.216084 0.976375i \(-0.430671\pi\)
0.793132 + 0.609050i \(0.208449\pi\)
\(338\) −3.10608e6 + 1.13052e6i −1.47884 + 0.538253i
\(339\) −15752.0 1.58726e6i −0.00744451 0.750151i
\(340\) 85509.3 + 484947.i 0.0401158 + 0.227508i
\(341\) 199107. 344863.i 0.0927258 0.160606i
\(342\) 171662. + 284151.i 0.0793614 + 0.131366i
\(343\) 1.16808e6 + 2.02317e6i 0.536088 + 0.928531i
\(344\) −1.53386e6 + 1.28706e6i −0.698861 + 0.586414i
\(345\) 662615. 805780.i 0.299719 0.364476i
\(346\) 501778. 2.84573e6i 0.225331 1.27792i
\(347\) 1.10460e6 + 926870.i 0.492472 + 0.413233i 0.854911 0.518774i \(-0.173612\pi\)
−0.362439 + 0.932007i \(0.618056\pi\)
\(348\) 5.71928e6 + 6.68021e6i 2.53159 + 2.95694i
\(349\) −2.88334e6 1.04945e6i −1.26716 0.461209i −0.380996 0.924577i \(-0.624419\pi\)
−0.886166 + 0.463367i \(0.846641\pi\)
\(350\) 1.50040e6 0.654693
\(351\) 584010. 739638.i 0.253019 0.320443i
\(352\) 1.22614e7 5.27454
\(353\) 373382. + 135900.i 0.159484 + 0.0580474i 0.420528 0.907279i \(-0.361845\pi\)
−0.261045 + 0.965327i \(0.584067\pi\)
\(354\) −345750. + 980096.i −0.146641 + 0.415681i
\(355\) 126531. + 106172.i 0.0532875 + 0.0447135i
\(356\) −1.65392e6 + 9.37985e6i −0.691655 + 3.92257i
\(357\) 76882.4 + 204883.i 0.0319269 + 0.0850817i
\(358\) 121498. 101949.i 0.0501029 0.0420414i
\(359\) −2.10208e6 3.64092e6i −0.860823 1.49099i −0.871136 0.491042i \(-0.836616\pi\)
0.0103128 0.999947i \(-0.496717\pi\)
\(360\) −3.97830e6 + 3.47504e6i −1.61786 + 1.41320i
\(361\) 1.22987e6 2.13020e6i 0.496698 0.860306i
\(362\) 948164. + 5.37730e6i 0.380287 + 2.15672i
\(363\) 5.80676e6 3.42981e6i 2.31296 1.36617i
\(364\) −1.82476e6 + 664159.i −0.721860 + 0.262735i
\(365\) 1.31165e6 477403.i 0.515332 0.187565i
\(366\) −1.43010e6 + 844701.i −0.558038 + 0.329610i
\(367\) −117952. 668941.i −0.0457132 0.259252i 0.953383 0.301764i \(-0.0975753\pi\)
−0.999096 + 0.0425112i \(0.986464\pi\)
\(368\) −2.55087e6 + 4.41824e6i −0.981904 + 1.70071i
\(369\) −3.27125e6 + 2.85743e6i −1.25069 + 1.09247i
\(370\) 1.25394e6 + 2.17189e6i 0.476182 + 0.824771i
\(371\) −1.75916e6 + 1.47611e6i −0.663545 + 0.556781i
\(372\) −232480. 619535.i −0.0871021 0.232118i
\(373\) 261078. 1.48065e6i 0.0971625 0.551036i −0.896901 0.442232i \(-0.854187\pi\)
0.994063 0.108804i \(-0.0347021\pi\)
\(374\) −931515. 781634.i −0.344359 0.288951i
\(375\) 968769. 2.74616e6i 0.355748 1.00843i
\(376\) 1.25957e6 + 458446.i 0.459465 + 0.167232i
\(377\) 1.70878e6 0.619201
\(378\) −2.38321e6 + 3.01829e6i −0.857892 + 1.08650i
\(379\) −63867.9 −0.0228394 −0.0114197 0.999935i \(-0.503635\pi\)
−0.0114197 + 0.999935i \(0.503635\pi\)
\(380\) −400565. 145794.i −0.142303 0.0517940i
\(381\) −2.04718e6 2.39114e6i −0.722511 0.843904i
\(382\) 1.68317e6 + 1.41235e6i 0.590159 + 0.495202i
\(383\) 631393. 3.58081e6i 0.219939 1.24734i −0.652187 0.758058i \(-0.726148\pi\)
0.872127 0.489280i \(-0.162740\pi\)
\(384\) 2.46889e6 3.00232e6i 0.854424 1.03903i
\(385\) 2.27644e6 1.91016e6i 0.782715 0.656776i
\(386\) −937309. 1.62347e6i −0.320195 0.554594i
\(387\) 469732. + 777544.i 0.159431 + 0.263905i
\(388\) −4.84566e6 + 8.39293e6i −1.63408 + 2.83031i
\(389\) 423696. + 2.40290e6i 0.141965 + 0.805122i 0.969754 + 0.244083i \(0.0784870\pi\)
−0.827790 + 0.561039i \(0.810402\pi\)
\(390\) 16686.7 + 1.68145e6i 0.00555533 + 0.559788i
\(391\) 228903. 83313.7i 0.0757197 0.0275597i
\(392\) −3.91391e6 + 1.42455e6i −1.28646 + 0.468233i
\(393\) 107680. + 60752.5i 0.0351686 + 0.0198419i
\(394\) 341675. + 1.93774e6i 0.110885 + 0.628860i
\(395\) −40246.5 + 69709.0i −0.0129788 + 0.0224800i
\(396\) 2.36935e6 1.51948e7i 0.759262 4.86921i
\(397\) −1.27592e6 2.20996e6i −0.406300 0.703732i 0.588172 0.808736i \(-0.299848\pi\)
−0.994472 + 0.105004i \(0.966515\pi\)
\(398\) 7.29513e6 6.12134e6i 2.30848 1.93704i
\(399\) −186873. 31041.9i −0.0587645 0.00976150i
\(400\) −793981. + 4.50289e6i −0.248119 + 1.40715i
\(401\) −12309.5 10328.9i −0.00382277 0.00320768i 0.640874 0.767646i \(-0.278572\pi\)
−0.644697 + 0.764438i \(0.723016\pi\)
\(402\) −7.43215e6 + 1.38667e6i −2.29377 + 0.427965i
\(403\) −120824. 43976.5i −0.0370589 0.0134883i
\(404\) 6.41533e6 1.95554
\(405\) 1.27966e6 + 2.02624e6i 0.387667 + 0.613837i
\(406\) −6.97312e6 −2.09948
\(407\) −4.18789e6 1.52427e6i −1.25317 0.456116i
\(408\) −1.21248e6 + 226222.i −0.360600 + 0.0672798i
\(409\) 3.78727e6 + 3.17790e6i 1.11948 + 0.939359i 0.998578 0.0533054i \(-0.0169757\pi\)
0.120906 + 0.992664i \(0.461420\pi\)
\(410\) 1.34579e6 7.63237e6i 0.395383 2.24233i
\(411\) 389196. + 64650.2i 0.113648 + 0.0188784i
\(412\) −719145. + 603435.i −0.208725 + 0.175141i
\(413\) −296522. 513590.i −0.0855424 0.148164i
\(414\) 3.33330e6 + 2.68606e6i 0.955814 + 0.770221i
\(415\) 1.22613e6 2.12372e6i 0.349475 0.605309i
\(416\) −687487. 3.89893e6i −0.194774 1.10462i
\(417\) 1.87672e6 + 1.05883e6i 0.528516 + 0.298186i
\(418\) 989158. 360024.i 0.276901 0.100784i
\(419\) −1.69349e6 + 616378.i −0.471245 + 0.171519i −0.566716 0.823913i \(-0.691786\pi\)
0.0954714 + 0.995432i \(0.469564\pi\)
\(420\) −49003.1 4.93784e6i −0.0135550 1.36588i
\(421\) 40290.1 + 228497.i 0.0110788 + 0.0628311i 0.989846 0.142144i \(-0.0453997\pi\)
−0.978767 + 0.204975i \(0.934289\pi\)
\(422\) −2.08109e6 + 3.60456e6i −0.568866 + 0.985305i
\(423\) 293548. 532578.i 0.0797680 0.144721i
\(424\) −6.47163e6 1.12092e7i −1.74823 3.02803i
\(425\) 167240. 140331.i 0.0449125 0.0376861i
\(426\) −430497. + 523511.i −0.114933 + 0.139766i
\(427\) 164578. 933367.i 0.0436819 0.247732i
\(428\) 5.68154e6 + 4.76738e6i 1.49919 + 1.25797i
\(429\) −1.94340e6 2.26992e6i −0.509822 0.595480i
\(430\) −1.52314e6 554376.i −0.397254 0.144588i
\(431\) −5.61946e6 −1.45714 −0.728570 0.684971i \(-0.759815\pi\)
−0.728570 + 0.684971i \(0.759815\pi\)
\(432\) −7.79711e6 8.74952e6i −2.01013 2.25567i
\(433\) −3.37488e6 −0.865045 −0.432522 0.901623i \(-0.642376\pi\)
−0.432522 + 0.901623i \(0.642376\pi\)
\(434\) 493057. + 179458.i 0.125653 + 0.0457339i
\(435\) −1.44560e6 + 4.09782e6i −0.366289 + 1.03832i
\(436\) 8.67580e6 + 7.27986e6i 2.18571 + 1.83403i
\(437\) −36616.7 + 207664.i −0.00917224 + 0.0520184i
\(438\) 2.01231e6 + 5.36260e6i 0.501199 + 1.33564i
\(439\) 4.43156e6 3.71852e6i 1.09748 0.920892i 0.100224 0.994965i \(-0.468044\pi\)
0.997253 + 0.0740729i \(0.0235998\pi\)
\(440\) 8.37460e6 + 1.45052e7i 2.06221 + 3.57185i
\(441\) 364999. + 1.85405e6i 0.0893708 + 0.453968i
\(442\) −196317. + 340032.i −0.0477972 + 0.0827873i
\(443\) −868206. 4.92384e6i −0.210191 1.19205i −0.889060 0.457791i \(-0.848641\pi\)
0.678869 0.734260i \(-0.262470\pi\)
\(444\) −6.37646e6 + 3.76631e6i −1.53505 + 0.906690i
\(445\) −4.42246e6 + 1.60964e6i −1.05868 + 0.385327i
\(446\) 8.98887e6 3.27168e6i 2.13977 0.778814i
\(447\) 4.24619e6 2.50805e6i 1.00515 0.593699i
\(448\) 1.17173e6 + 6.64520e6i 0.275824 + 1.56427i
\(449\) −1.23821e6 + 2.14464e6i −0.289854 + 0.502041i −0.973775 0.227515i \(-0.926940\pi\)
0.683921 + 0.729556i \(0.260273\pi\)
\(450\) 3.63061e6 + 1.24040e6i 0.845178 + 0.288757i
\(451\) 6.88622e6 + 1.19273e7i 1.59419 + 2.76121i
\(452\) −6.40693e6 + 5.37606e6i −1.47504 + 1.23771i
\(453\) −1.66050e6 4.42505e6i −0.380183 1.01315i
\(454\) 1.67696e6 9.51053e6i 0.381842 2.16553i
\(455\) −735035. 616768.i −0.166448 0.139667i
\(456\) 355201. 1.00689e6i 0.0799949 0.226761i
\(457\) 5.14834e6 + 1.87384e6i 1.15313 + 0.419704i 0.846637 0.532171i \(-0.178623\pi\)
0.306489 + 0.951874i \(0.400846\pi\)
\(458\) −1.03932e7 −2.31520
\(459\) 16656.7 + 559328.i 0.00369026 + 0.123918i
\(460\) −5.49679e6 −1.21120
\(461\) 2.94785e6 + 1.07293e6i 0.646030 + 0.235136i 0.644193 0.764863i \(-0.277193\pi\)
0.00183657 + 0.999998i \(0.499415\pi\)
\(462\) 7.93055e6 + 9.26301e6i 1.72862 + 2.01905i
\(463\) −688895. 578052.i −0.149348 0.125318i 0.565052 0.825055i \(-0.308856\pi\)
−0.714401 + 0.699737i \(0.753301\pi\)
\(464\) 3.69003e6 2.09272e7i 0.795673 4.51249i
\(465\) 207676. 252546.i 0.0445403 0.0541637i
\(466\) 5.49354e6 4.60963e6i 1.17189 0.983335i
\(467\) 569850. + 987010.i 0.120912 + 0.209425i 0.920127 0.391619i \(-0.128085\pi\)
−0.799216 + 0.601044i \(0.794752\pi\)
\(468\) −4.96455e6 + 98546.1i −1.04777 + 0.0207982i
\(469\) 2.15706e6 3.73615e6i 0.452826 0.784317i
\(470\) 188420. + 1.06858e6i 0.0393443 + 0.223133i
\(471\) 53500.0 + 5.39096e6i 0.0111122 + 1.11973i
\(472\) 3.14098e6 1.14322e6i 0.648948 0.236198i
\(473\) 2.70671e6 985162.i 0.556274 0.202467i
\(474\) −287672. 162303.i −0.0588101 0.0331803i
\(475\) 32817.1 + 186115.i 0.00667369 + 0.0378484i
\(476\) 576515. 998553.i 0.116625 0.202001i
\(477\) −5.47706e6 + 2.11751e6i −1.10218 + 0.426117i
\(478\) −6.96772e6 1.20684e7i −1.39483 2.41592i
\(479\) −6.53735e6 + 5.48549e6i −1.30186 + 1.09239i −0.312035 + 0.950071i \(0.601011\pi\)
−0.989821 + 0.142316i \(0.954545\pi\)
\(480\) 9.93164e6 + 1.64977e6i 1.96751 + 0.326828i
\(481\) −249881. + 1.41714e6i −0.0492459 + 0.279287i
\(482\) −1.63009e6 1.36781e6i −0.319591 0.268168i
\(483\) −2.40132e6 + 448031.i −0.468362 + 0.0873857i
\(484\) −3.33913e7 1.21534e7i −6.47917 2.35822i
\(485\) −4.78869e6 −0.924406
\(486\) −8.26205e6 + 5.33329e6i −1.58671 + 1.02425i
\(487\) −4.95817e6 −0.947325 −0.473663 0.880706i \(-0.657068\pi\)
−0.473663 + 0.880706i \(0.657068\pi\)
\(488\) 5.01972e6 + 1.82703e6i 0.954178 + 0.347293i
\(489\) −1.73423e6 + 323568.i −0.327970 + 0.0611919i
\(490\) −2.58285e6 2.16727e6i −0.485970 0.407777i
\(491\) −1.14744e6 + 6.50746e6i −0.214796 + 1.21817i 0.666463 + 0.745538i \(0.267807\pi\)
−0.881260 + 0.472633i \(0.843304\pi\)
\(492\) 2.25765e7 + 3.75023e6i 4.20478 + 0.698466i
\(493\) −777248. + 652188.i −0.144026 + 0.120852i
\(494\) −169943. 294349.i −0.0313318 0.0542683i
\(495\) 7.08758e6 2.74015e6i 1.30012 0.502646i
\(496\) −799490. + 1.38476e6i −0.145918 + 0.252737i
\(497\) −67159.9 380883.i −0.0121960 0.0691672i
\(498\) 8.76408e6 + 4.94464e6i 1.58356 + 0.893432i
\(499\) 9.04898e6 3.29356e6i 1.62685 0.592126i 0.642183 0.766551i \(-0.278029\pi\)
0.984670 + 0.174425i \(0.0558067\pi\)
\(500\) −1.44181e7 + 5.24776e6i −2.57919 + 0.938748i
\(501\) 78969.6 + 7.95743e6i 0.0140561 + 1.41638i
\(502\) 2.21247e6 + 1.25475e7i 0.391848 + 2.22228i
\(503\) 2.98573e6 5.17144e6i 0.526176 0.911364i −0.473359 0.880870i \(-0.656959\pi\)
0.999535 0.0304940i \(-0.00970804\pi\)
\(504\) 1.23662e7 245468.i 2.16850 0.0430446i
\(505\) 1.58498e6 + 2.74526e6i 0.276563 + 0.479022i
\(506\) 1.03982e7 8.72508e6i 1.80543 1.51493i
\(507\) 3.06337e6 3.72524e6i 0.529272 0.643627i
\(508\) −2.88006e6 + 1.63336e7i −0.495156 + 2.80817i
\(509\) −7.87132e6 6.60483e6i −1.34665 1.12997i −0.979865 0.199663i \(-0.936015\pi\)
−0.366781 0.930307i \(-0.619540\pi\)
\(510\) −649350. 758450.i −0.110549 0.129122i
\(511\) −3.07126e6 1.11785e6i −0.520312 0.189378i
\(512\) 3.79387e6 0.639598
\(513\) −426525. 229605.i −0.0715568 0.0385201i
\(514\) 2.14113e7 3.57466
\(515\) −435896. 158653.i −0.0724210 0.0263591i
\(516\) 1.59234e6 4.51380e6i 0.263277 0.746308i
\(517\) −1.47711e6 1.23944e6i −0.243045 0.203939i
\(518\) 1.01970e6 5.78303e6i 0.166974 0.946959i
\(519\) 1.48132e6 + 3.94755e6i 0.241396 + 0.643294i
\(520\) 4.14286e6 3.47628e6i 0.671881 0.563775i
\(521\) 3.18448e6 + 5.51568e6i 0.513978 + 0.890235i 0.999869 + 0.0162158i \(0.00516189\pi\)
−0.485891 + 0.874019i \(0.661505\pi\)
\(522\) −1.68733e7 5.76478e6i −2.71033 0.925991i
\(523\) 903357. 1.56466e6i 0.144413 0.250130i −0.784741 0.619824i \(-0.787204\pi\)
0.929154 + 0.369694i \(0.120537\pi\)
\(524\) −113121. 641540.i −0.0179976 0.102069i
\(525\) −1.88501e6 + 1.11340e6i −0.298481 + 0.176300i
\(526\) −8.81940e6 + 3.21000e6i −1.38987 + 0.505872i
\(527\) 71742.2 26112.0i 0.0112525 0.00409557i
\(528\) −3.19961e7 + 1.88988e7i −4.99473 + 2.95018i
\(529\) −645486. 3.66073e6i −0.100288 0.568760i
\(530\) 5.23882e6 9.07391e6i 0.810110 1.40315i
\(531\) −292917. 1.48790e6i −0.0450826 0.229001i
\(532\) 499062. + 864401.i 0.0764496 + 0.132415i
\(533\) 3.40657e6 2.85845e6i 0.519397 0.435826i
\(534\) −6.78486e6 1.80809e7i −1.02965 2.74389i
\(535\) −636379. + 3.60909e6i −0.0961240 + 0.545146i
\(536\) 1.86269e7 + 1.56298e7i 2.80045 + 2.34986i
\(537\) −76990.0 + 218243.i −0.0115212 + 0.0326591i
\(538\) 1.30407e7 + 4.74644e6i 1.94243 + 0.706988i
\(539\) 5.99168e6 0.888335
\(540\) 3.96361e6 1.19889e7i 0.584933 1.76927i
\(541\) −7.69226e6 −1.12995 −0.564977 0.825107i \(-0.691115\pi\)
−0.564977 + 0.825107i \(0.691115\pi\)
\(542\) −1.67377e7 6.09204e6i −2.44736 0.890767i
\(543\) −5.18154e6 6.05212e6i −0.754152 0.880861i
\(544\) 1.80081e6 + 1.51106e6i 0.260898 + 0.218919i
\(545\) −971761. + 5.51113e6i −0.140142 + 0.794785i
\(546\) 2.50082e6 3.04115e6i 0.359006 0.436572i
\(547\) −1.10431e6 + 926627.i −0.157806 + 0.132415i −0.718272 0.695763i \(-0.755067\pi\)
0.560466 + 0.828178i \(0.310622\pi\)
\(548\) −1.03938e6 1.80026e6i −0.147851 0.256085i
\(549\) 1.16987e6 2.12246e6i 0.165655 0.300545i
\(550\) 6.08266e6 1.05355e7i 0.857406 1.48507i
\(551\) −152517. 864970.i −0.0214013 0.121373i
\(552\) −136627. 1.37674e7i −0.0190849 1.92311i
\(553\) 177109. 64462.5i 0.0246280 0.00896384i
\(554\) 189651. 69027.3i 0.0262531 0.00955535i
\(555\) −3.18706e6 1.79812e6i −0.439196 0.247791i
\(556\) −1.97154e6 1.11811e7i −0.270469 1.53391i
\(557\) 403347. 698617.i 0.0550859 0.0954116i −0.837168 0.546947i \(-0.815790\pi\)
0.892253 + 0.451535i \(0.149123\pi\)
\(558\) 1.04472e6 + 841862.i 0.142041 + 0.114460i
\(559\) −465027. 805451.i −0.0629432 0.109021i
\(560\) −9.14076e6 + 7.67001e6i −1.23172 + 1.03354i
\(561\) 1.75032e6 + 290750.i 0.234807 + 0.0390044i
\(562\) −730800. + 4.14458e6i −0.0976018 + 0.553528i
\(563\) 1.63458e6 + 1.37157e6i 0.217337 + 0.182368i 0.744956 0.667114i \(-0.232470\pi\)
−0.527619 + 0.849481i \(0.676915\pi\)
\(564\) −3.14982e6 + 587685.i −0.416953 + 0.0777941i
\(565\) −3.88343e6 1.41345e6i −0.511794 0.186278i
\(566\) −7.56249e6 −0.992255
\(567\) 754345. 5.56050e6i 0.0985399 0.726367i
\(568\) 2.17988e6 0.283505
\(569\) 1.37417e7 + 5.00159e6i 1.77935 + 0.647630i 0.999773 + 0.0213240i \(0.00678814\pi\)
0.779577 + 0.626306i \(0.215434\pi\)
\(570\) 849649. 158525.i 0.109535 0.0204367i
\(571\) −1.09046e7 9.15007e6i −1.39965 1.17445i −0.961253 0.275669i \(-0.911101\pi\)
−0.438401 0.898780i \(-0.644455\pi\)
\(572\) −2.73405e6 + 1.55056e7i −0.349394 + 1.98151i
\(573\) −3.16269e6 525361.i −0.402411 0.0668454i
\(574\) −1.39014e7 + 1.16647e7i −1.76108 + 1.47772i
\(575\) 1.21849e6 + 2.11049e6i 0.153692 + 0.266203i
\(576\) −2.65839e6 + 1.70484e7i −0.333858 + 2.14106i
\(577\) 4.61609e6 7.99529e6i 0.577211 0.999758i −0.418587 0.908177i \(-0.637474\pi\)
0.995798 0.0915814i \(-0.0291922\pi\)
\(578\) 2.59357e6 + 1.47089e7i 0.322908 + 1.83130i
\(579\) 2.38230e6 + 1.34408e6i 0.295325 + 0.166620i
\(580\) 2.15147e7 7.83072e6i 2.65562 0.966566i
\(581\) −5.39573e6 + 1.96388e6i −0.663147 + 0.241366i
\(582\) −194999. 1.96492e7i −0.0238630 2.40457i
\(583\) 3.23323e6 + 1.83366e7i 0.393972 + 2.23433i
\(584\) 9.21071e6 1.59534e7i 1.11753 1.93563i
\(585\) −1.26872e6 2.10009e6i −0.153276 0.253717i
\(586\) 1.02889e7 + 1.78209e7i 1.23773 + 2.14381i
\(587\) 4.78877e6 4.01826e6i 0.573626 0.481329i −0.309221 0.950990i \(-0.600068\pi\)
0.882847 + 0.469661i \(0.155624\pi\)
\(588\) 6.32388e6 7.69022e6i 0.754294 0.917267i
\(589\) −11476.3 + 65085.5i −0.00136306 + 0.00773030i
\(590\) 2.07278e6 + 1.73927e6i 0.245145 + 0.205701i
\(591\) −1.86719e6 2.18091e6i −0.219897 0.256843i
\(592\) 1.68160e7 + 6.12052e6i 1.97205 + 0.717768i
\(593\) 1.95870e6 0.228735 0.114367 0.993439i \(-0.463516\pi\)
0.114367 + 0.993439i \(0.463516\pi\)
\(594\) 1.15321e7 + 2.89705e7i 1.34105 + 3.36892i
\(595\) 569737. 0.0659754
\(596\) −2.44173e7 8.88717e6i −2.81567 1.02482i
\(597\) −4.62271e6 + 1.31040e7i −0.530837 + 1.50476i
\(598\) −3.35744e6 2.81723e6i −0.383933 0.322158i
\(599\) 1.75148e6 9.93312e6i 0.199452 1.13115i −0.706484 0.707729i \(-0.749720\pi\)
0.905935 0.423416i \(-0.139169\pi\)
\(600\) −4.33517e6 1.15528e7i −0.491619 1.31011i
\(601\) −1.09504e7 + 9.18846e6i −1.23664 + 1.03766i −0.238859 + 0.971054i \(0.576774\pi\)
−0.997779 + 0.0666089i \(0.978782\pi\)
\(602\) 1.89767e6 + 3.28686e6i 0.213417 + 0.369649i
\(603\) 8.30830e6 7.25729e6i 0.930505 0.812795i
\(604\) −1.24515e7 + 2.15666e7i −1.38877 + 2.40541i
\(605\) −3.04896e6 1.72915e7i −0.338659 1.92063i
\(606\) −1.11999e7 + 6.61535e6i −1.23889 + 0.731764i
\(607\) −1.23646e7 + 4.50034e6i −1.36210 + 0.495762i −0.916702 0.399572i \(-0.869159\pi\)
−0.445394 + 0.895335i \(0.646936\pi\)
\(608\) −1.91225e6 + 696001.i −0.209790 + 0.0763574i
\(609\) 8.76061e6 5.17453e6i 0.957174 0.565363i
\(610\) 750903. + 4.25858e6i 0.0817070 + 0.463383i
\(611\) −311302. + 539191.i −0.0337349 + 0.0584305i
\(612\) 2.22054e6 1.93964e6i 0.239652 0.209336i
\(613\) −246240. 426501.i −0.0264672 0.0458425i 0.852488 0.522746i \(-0.175092\pi\)
−0.878956 + 0.476904i \(0.841759\pi\)
\(614\) −2.05524e7 + 1.72455e7i −2.20010 + 1.84610i
\(615\) 3.97296e6 + 1.05875e7i 0.423571 + 1.12877i
\(616\) 6.81023e6 3.86227e7i 0.723120 4.10101i
\(617\) 1.08304e7 + 9.08778e6i 1.14533 + 0.961048i 0.999600 0.0282764i \(-0.00900187\pi\)
0.145732 + 0.989324i \(0.453446\pi\)
\(618\) 633243. 1.79505e6i 0.0666959 0.189062i
\(619\) 6.37084e6 + 2.31880e6i 0.668298 + 0.243241i 0.653815 0.756655i \(-0.273167\pi\)
0.0144831 + 0.999895i \(0.495390\pi\)
\(620\) −1.72279e6 −0.179992
\(621\) −6.18099e6 901075.i −0.643175 0.0937631i
\(622\) 1.06935e7 1.10827
\(623\) 1.03553e7 + 3.76901e6i 1.06891 + 0.389052i
\(624\) 7.80348e6 + 9.11458e6i 0.802281 + 0.937077i
\(625\) −2.26992e6 1.90469e6i −0.232440 0.195040i
\(626\) 4.55031e6 2.58061e7i 0.464093 2.63200i
\(627\) −975556. + 1.18633e6i −0.0991022 + 0.120514i
\(628\) 2.17605e7 1.82592e7i 2.20176 1.84749i
\(629\) −427221. 739968.i −0.0430552 0.0745738i
\(630\) 5.17734e6 + 8.56999e6i 0.519703 + 0.860259i
\(631\) 3.51019e6 6.07983e6i 0.350960 0.607881i −0.635458 0.772136i \(-0.719189\pi\)
0.986418 + 0.164255i \(0.0525219\pi\)
\(632\) 184467. + 1.04616e6i 0.0183707 + 0.104185i
\(633\) −60267.0 6.07285e6i −0.00597820 0.602398i
\(634\) −1.75785e7 + 6.39807e6i −1.73684 + 0.632158i
\(635\) −7.70106e6 + 2.80296e6i −0.757908 + 0.275856i
\(636\) 2.69472e7 + 1.52034e7i 2.64162 + 1.49039i
\(637\) −335947. 1.90525e6i −0.0328037 0.186039i
\(638\) −2.82692e7 + 4.89636e7i −2.74955 + 4.76236i
\(639\) 152371. 977165.i 0.0147621 0.0946708i
\(640\) −5.06003e6 8.76423e6i −0.488318 0.845792i
\(641\) −2.04037e6 + 1.71208e6i −0.196139 + 0.164580i −0.735568 0.677451i \(-0.763085\pi\)
0.539429 + 0.842031i \(0.318640\pi\)
\(642\) −1.48349e7 2.46426e6i −1.42052 0.235966i
\(643\) 3.00897e6 1.70647e7i 0.287005 1.62769i −0.411028 0.911623i \(-0.634830\pi\)
0.698033 0.716065i \(-0.254059\pi\)
\(644\) 9.85963e6 + 8.27321e6i 0.936798 + 0.786067i
\(645\) 2.32496e6 433785.i 0.220047 0.0410559i
\(646\) 189644. + 69024.7i 0.0178796 + 0.00650763i
\(647\) 1.41047e7 1.32466 0.662329 0.749213i \(-0.269568\pi\)
0.662329 + 0.749213i \(0.269568\pi\)
\(648\) 3.01261e7 + 9.62933e6i 2.81842 + 0.900863i
\(649\) −4.80841e6 −0.448116
\(650\) −3.69115e6 1.34347e6i −0.342672 0.124722i
\(651\) −752616. + 140421.i −0.0696019 + 0.0129861i
\(652\) 7.12063e6 + 5.97491e6i 0.655993 + 0.550443i
\(653\) −2.81777e6 + 1.59804e7i −0.258597 + 1.46658i 0.528072 + 0.849200i \(0.322915\pi\)
−0.786669 + 0.617376i \(0.788196\pi\)
\(654\) −2.26531e7 3.76296e6i −2.07102 0.344021i
\(655\) 246581. 206906.i 0.0224573 0.0188439i
\(656\) −2.76508e7 4.78925e7i −2.50869 4.34519i
\(657\) −6.50756e6 5.24397e6i −0.588172 0.473966i
\(658\) 1.27035e6 2.20031e6i 0.114382 0.198116i
\(659\) −1.72182e6 9.76490e6i −0.154445 0.875899i −0.959292 0.282417i \(-0.908864\pi\)
0.804847 0.593482i \(-0.202247\pi\)
\(660\) −3.48710e7 1.96740e7i −3.11605 1.75805i
\(661\) 5.22702e6 1.90248e6i 0.465318 0.169362i −0.0987121 0.995116i \(-0.531472\pi\)
0.564030 + 0.825754i \(0.309250\pi\)
\(662\) −1.95966e7 + 7.13257e6i −1.73794 + 0.632559i
\(663\) −5685.22 572876.i −0.000502300 0.0506147i
\(664\) −5.61988e6 3.18719e7i −0.494660 2.80536i
\(665\) −246597. + 427119.i −0.0216239 + 0.0374537i
\(666\) 7.24836e6 1.31505e7i 0.633219 1.14884i
\(667\) −5.66293e6 9.80849e6i −0.492864 0.853665i
\(668\) 3.21200e7 2.69518e7i 2.78505 2.33694i
\(669\) −8.86526e6 + 1.07807e7i −0.765819 + 0.931282i
\(670\) −3.41803e6 + 1.93846e7i −0.294164 + 1.66828i
\(671\) −5.88668e6 4.93951e6i −0.504736 0.423524i
\(672\) −1.53314e7 1.79073e7i −1.30966 1.52970i
\(673\) 1.99795e6 + 727193.i 0.170038 + 0.0618888i 0.425636 0.904894i \(-0.360050\pi\)
−0.255598 + 0.966783i \(0.582272\pi\)
\(674\) 2.39212e7 2.02831
\(675\) −5.48174e6 + 1.13579e6i −0.463083 + 0.0959484i
\(676\) −2.54125e7 −2.13885
\(677\) 4.10760e6 + 1.49504e6i 0.344442 + 0.125367i 0.508448 0.861093i \(-0.330219\pi\)
−0.164006 + 0.986459i \(0.552442\pi\)
\(678\) 5.64162e6 1.59923e7i 0.471335 1.33609i
\(679\) 8.58951e6 + 7.20745e6i 0.714980 + 0.599939i
\(680\) −557618. + 3.16241e6i −0.0462450 + 0.262268i
\(681\) 4.95062e6 + 1.31929e7i 0.409064 + 1.09011i
\(682\) 3.25897e6 2.73460e6i 0.268299 0.225130i
\(683\) 5.56777e6 + 9.64366e6i 0.456698 + 0.791025i 0.998784 0.0492985i \(-0.0156986\pi\)
−0.542086 + 0.840323i \(0.682365\pi\)
\(684\) 492996. + 2.50422e6i 0.0402905 + 0.204660i
\(685\) 513581. 889549.i 0.0418199 0.0724342i
\(686\) 4.33392e6 + 2.45789e7i 0.351618 + 1.99412i
\(687\) 1.30574e7 7.71249e6i 1.05552 0.623452i
\(688\) −1.08685e7 + 3.95580e6i −0.875381 + 0.318613i
\(689\) 5.64944e6 2.05623e6i 0.453374 0.165015i
\(690\) 9.59635e6 5.66817e6i 0.767332 0.453231i
\(691\) 1.62369e6 + 9.20839e6i 0.129362 + 0.733650i 0.978621 + 0.205673i \(0.0659382\pi\)
−0.849259 + 0.527977i \(0.822951\pi\)
\(692\) 1.11079e7 1.92394e7i 0.881792 1.52731i
\(693\) −1.68372e7 5.75247e6i −1.33180 0.455011i
\(694\) 7.70249e6 + 1.33411e7i 0.607061 + 1.05146i
\(695\) 4.29757e6 3.60609e6i 0.337490 0.283188i
\(696\) 2.01477e7 + 5.36915e7i 1.57653 + 4.20129i
\(697\) −458515. + 2.60037e6i −0.0357496 + 0.202746i
\(698\) −2.51116e7 2.10711e7i −1.95090 1.63700i
\(699\) −3.48110e6 + 9.86784e6i −0.269478 + 0.763887i
\(700\) 1.08396e7 + 3.94529e6i 0.836120 + 0.304323i
\(701\) −3.10140e6 −0.238376 −0.119188 0.992872i \(-0.538029\pi\)
−0.119188 + 0.992872i \(0.538029\pi\)
\(702\) 8.56554e6 5.29138e6i 0.656012 0.405253i
\(703\) 739650. 0.0564466
\(704\) 5.14112e7 + 1.87121e7i 3.90954 + 1.42296i
\(705\) −1.02968e6 1.20268e6i −0.0780242 0.0911335i
\(706\) 3.25186e6 + 2.72863e6i 0.245539 + 0.206031i
\(707\) 1.28890e6 7.30974e6i 0.0969777 0.549988i
\(708\) −5.07501e6 + 6.17152e6i −0.380500 + 0.462710i
\(709\) −1.06160e7 + 8.90792e6i −0.793135 + 0.665519i −0.946519 0.322647i \(-0.895427\pi\)
0.153384 + 0.988167i \(0.450983\pi\)
\(710\) 882312. + 1.52821e6i 0.0656865 + 0.113772i
\(711\) 481853. 9564.77i 0.0357471 0.000709579i
\(712\) −3.10555e7 + 5.37896e7i −2.29582 + 3.97648i
\(713\) 147988. + 839280.i 0.0109019 + 0.0618277i
\(714\) 23200.1 + 2.33777e6i 0.00170311 + 0.171616i
\(715\) −7.31064e6 + 2.66086e6i −0.534799 + 0.194651i
\(716\) 1.14584e6 417050.i 0.0835295 0.0304023i
\(717\) 1.77094e7 + 9.99154e6i 1.28649 + 0.725830i
\(718\) −7.79938e6 4.42325e7i −0.564611 3.20207i
\(719\) −1.64882e6 + 2.85584e6i −0.118946 + 0.206021i −0.919350 0.393440i \(-0.871285\pi\)
0.800404 + 0.599461i \(0.204618\pi\)
\(720\) −2.84593e7 + 1.10028e7i −2.04594 + 0.790989i
\(721\) 543080. + 940643.i 0.0389068 + 0.0673886i
\(722\) 2.01305e7 1.68915e7i 1.43718 1.20594i
\(723\) 3.06295e6 + 508794.i 0.217919 + 0.0361990i
\(724\) −7.28959e6 + 4.13413e7i −0.516841 + 2.93115i
\(725\) −7.77583e6 6.52469e6i −0.549416 0.461015i
\(726\) 7.08271e7 1.32147e7i 4.98721 0.930502i
\(727\) 2.34355e6 + 852982.i 0.164452 + 0.0598555i 0.422934 0.906160i \(-0.361000\pi\)
−0.258482 + 0.966016i \(0.583222\pi\)
\(728\) −1.26632e7 −0.885555
\(729\) 6.42228e6 1.28314e7i 0.447579 0.894244i
\(730\) 1.49122e7 1.03570
\(731\) 518937. + 188878.i 0.0359187 + 0.0130733i
\(732\) −1.25528e7 + 2.34208e6i −0.865893 + 0.161556i
\(733\) −6.96149e6 5.84139e6i −0.478567 0.401565i 0.371341 0.928497i \(-0.378898\pi\)
−0.849908 + 0.526931i \(0.823342\pi\)
\(734\) 1.26013e6 7.14657e6i 0.0863329 0.489618i
\(735\) 4.85320e6 + 806176.i 0.331367 + 0.0550442i
\(736\) −2.01018e7 + 1.68674e7i −1.36785 + 1.14777i
\(737\) −1.74896e7 3.02928e7i −1.18607 2.05433i
\(738\) −4.32814e7 + 1.67332e7i −2.92523 + 1.13093i
\(739\) −1.23405e6 + 2.13743e6i −0.0831228 + 0.143973i −0.904590 0.426283i \(-0.859823\pi\)
0.821467 + 0.570256i \(0.193156\pi\)
\(740\) 3.34809e6 + 1.89880e7i 0.224759 + 1.27467i
\(741\) 431933. + 243694.i 0.0288982 + 0.0163042i
\(742\) −2.30540e7 + 8.39099e6i −1.53722 + 0.559504i
\(743\) −1.58389e6 + 576489.i −0.105258 + 0.0383106i −0.394112 0.919062i \(-0.628948\pi\)
0.288855 + 0.957373i \(0.406726\pi\)
\(744\) −42821.5 4.31494e6i −0.00283615 0.285787i
\(745\) −2.22954e6 1.26444e7i −0.147172 0.834654i
\(746\) 8.03120e6 1.39105e7i 0.528364 0.915154i
\(747\) −1.46799e7 + 291396.i −0.962547 + 0.0191065i
\(748\) −4.67440e6 8.09630e6i −0.305472 0.529094i
\(749\) 6.57351e6 5.51583e6i 0.428147 0.359258i
\(750\) 1.97599e7 2.40292e7i 1.28272 1.55986i
\(751\) 4.18179e6 2.37161e7i 0.270559 1.53442i −0.482165 0.876080i \(-0.660149\pi\)
0.752724 0.658336i \(-0.228739\pi\)
\(752\) 5.93117e6 + 4.97684e6i 0.382468 + 0.320929i
\(753\) −1.20907e7 1.41222e7i −0.777079 0.907640i
\(754\) 1.71546e7 + 6.24377e6i 1.09889 + 0.399962i
\(755\) −1.23051e7 −0.785630
\(756\) −2.51540e7 + 1.55389e7i −1.60067 + 0.988817i
\(757\) 2.26037e7 1.43364 0.716820 0.697258i \(-0.245597\pi\)
0.716820 + 0.697258i \(0.245597\pi\)
\(758\) −641178. 233370.i −0.0405327 0.0147527i