Properties

Label 27.6.e.a.7.6
Level 27
Weight 6
Character 27.7
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 7.6
Character \(\chi\) = 27.7
Dual form 27.6.e.a.4.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.14127 + 0.415390i) q^{2} +(-3.98171 - 15.0714i) q^{3} +(-23.3835 + 19.6211i) q^{4} +(10.2948 + 58.3849i) q^{5} +(10.8047 + 15.5466i) q^{6} +(144.334 + 121.111i) q^{7} +(37.9689 - 65.7640i) q^{8} +(-211.292 + 120.020i) q^{9} +O(q^{10})\) \(q+(-1.14127 + 0.415390i) q^{2} +(-3.98171 - 15.0714i) q^{3} +(-23.3835 + 19.6211i) q^{4} +(10.2948 + 58.3849i) q^{5} +(10.8047 + 15.5466i) q^{6} +(144.334 + 121.111i) q^{7} +(37.9689 - 65.7640i) q^{8} +(-211.292 + 120.020i) q^{9} +(-36.0017 - 62.3568i) q^{10} +(-82.8019 + 469.593i) q^{11} +(388.822 + 274.295i) q^{12} +(-973.203 - 354.217i) q^{13} +(-215.033 - 78.2658i) q^{14} +(838.949 - 387.629i) q^{15} +(153.604 - 871.132i) q^{16} +(763.368 + 1322.19i) q^{17} +(191.287 - 224.744i) q^{18} +(583.950 - 1011.43i) q^{19} +(-1386.30 - 1163.25i) q^{20} +(1250.61 - 2657.55i) q^{21} +(-100.564 - 570.330i) q^{22} +(-2349.13 + 1971.15i) q^{23} +(-1142.33 - 310.389i) q^{24} +(-366.274 + 133.313i) q^{25} +1257.83 q^{26} +(2650.16 + 2706.57i) q^{27} -5751.36 q^{28} +(4051.77 - 1474.72i) q^{29} +(-796.454 + 790.882i) q^{30} +(-422.549 + 354.561i) q^{31} +(608.521 + 3451.10i) q^{32} +(7407.10 - 621.846i) q^{33} +(-1420.44 - 1191.89i) q^{34} +(-5585.15 + 9673.77i) q^{35} +(2585.83 - 6952.25i) q^{36} +(-402.555 - 697.246i) q^{37} +(-246.309 + 1396.89i) q^{38} +(-1463.52 + 16077.9i) q^{39} +(4230.51 + 1539.78i) q^{40} +(1031.49 + 375.433i) q^{41} +(-323.371 + 3552.48i) q^{42} +(569.492 - 3229.75i) q^{43} +(-7277.71 - 12605.4i) q^{44} +(-9182.55 - 11100.7i) q^{45} +(1862.20 - 3225.43i) q^{46} +(-7109.81 - 5965.84i) q^{47} +(-13740.8 + 1153.57i) q^{48} +(3246.06 + 18409.3i) q^{49} +(362.642 - 304.293i) q^{50} +(16887.7 - 16769.6i) q^{51} +(29707.0 - 10812.4i) q^{52} +30203.0 q^{53} +(-4148.85 - 1988.09i) q^{54} -28269.6 q^{55} +(13445.0 - 4893.56i) q^{56} +(-17568.8 - 4773.70i) q^{57} +(-4011.60 + 3366.13i) q^{58} +(-3368.53 - 19103.9i) q^{59} +(-12011.8 + 25525.2i) q^{60} +(5477.70 + 4596.34i) q^{61} +(334.963 - 580.174i) q^{62} +(-45032.4 - 8266.81i) q^{63} +(12025.1 + 20828.1i) q^{64} +(10662.0 - 60466.9i) q^{65} +(-8195.22 + 3786.53i) q^{66} +(25059.4 + 9120.89i) q^{67} +(-43793.0 - 15939.3i) q^{68} +(39061.5 + 27556.0i) q^{69} +(2355.81 - 13360.4i) q^{70} +(31839.2 + 55147.1i) q^{71} +(-129.545 + 18452.4i) q^{72} +(-3442.85 + 5963.19i) q^{73} +(749.055 + 628.532i) q^{74} +(3467.60 + 4989.44i) q^{75} +(6190.58 + 35108.5i) q^{76} +(-68824.0 + 57750.2i) q^{77} +(-5008.31 - 18957.2i) q^{78} +(28197.5 - 10263.1i) q^{79} +52442.3 q^{80} +(30239.6 - 50718.4i) q^{81} -1333.17 q^{82} +(-30835.2 + 11223.1i) q^{83} +(22900.3 + 86680.9i) q^{84} +(-69337.3 + 58180.9i) q^{85} +(691.659 + 3922.59i) q^{86} +(-38359.1 - 55193.8i) q^{87} +(27738.4 + 23275.3i) q^{88} +(-3365.35 + 5828.97i) q^{89} +(15090.9 + 8854.58i) q^{90} +(-97567.1 - 168991. i) q^{91} +(16254.7 - 92184.8i) q^{92} +(7026.18 + 4956.63i) q^{93} +(10592.4 + 3855.32i) q^{94} +(65064.0 + 23681.4i) q^{95} +(49589.8 - 22912.5i) q^{96} +(7581.34 - 42995.9i) q^{97} +(-11351.7 - 19661.7i) q^{98} +(-38865.0 - 109159. 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.14127 + 0.415390i −0.201751 + 0.0734313i −0.440919 0.897547i \(-0.645347\pi\)
0.239168 + 0.970978i \(0.423125\pi\)
\(3\) −3.98171 15.0714i −0.255427 0.966828i
\(4\) −23.3835 + 19.6211i −0.730733 + 0.613158i
\(5\) 10.2948 + 58.3849i 0.184160 + 1.04442i 0.927030 + 0.374986i \(0.122353\pi\)
−0.742871 + 0.669435i \(0.766536\pi\)
\(6\) 10.8047 + 15.5466i 0.122528 + 0.176302i
\(7\) 144.334 + 121.111i 1.11333 + 0.934197i 0.998249 0.0591588i \(-0.0188418\pi\)
0.115084 + 0.993356i \(0.463286\pi\)
\(8\) 37.9689 65.7640i 0.209750 0.363298i
\(9\) −211.292 + 120.020i −0.869514 + 0.493908i
\(10\) −36.0017 62.3568i −0.113847 0.197190i
\(11\) −82.8019 + 469.593i −0.206328 + 1.17015i 0.689008 + 0.724754i \(0.258047\pi\)
−0.895336 + 0.445392i \(0.853064\pi\)
\(12\) 388.822 + 274.295i 0.779467 + 0.549877i
\(13\) −973.203 354.217i −1.59715 0.581314i −0.618306 0.785937i \(-0.712181\pi\)
−0.978841 + 0.204623i \(0.934403\pi\)
\(14\) −215.033 78.2658i −0.293215 0.106721i
\(15\) 838.949 387.629i 0.962736 0.444824i
\(16\) 153.604 871.132i 0.150004 0.850715i
\(17\) 763.368 + 1322.19i 0.640636 + 1.10961i 0.985291 + 0.170885i \(0.0546627\pi\)
−0.344655 + 0.938730i \(0.612004\pi\)
\(18\) 191.287 224.744i 0.139157 0.163496i
\(19\) 583.950 1011.43i 0.371101 0.642765i −0.618634 0.785679i \(-0.712314\pi\)
0.989735 + 0.142914i \(0.0456471\pi\)
\(20\) −1386.30 1163.25i −0.774967 0.650274i
\(21\) 1250.61 2657.55i 0.618833 1.31502i
\(22\) −100.564 570.330i −0.0442984 0.251229i
\(23\) −2349.13 + 1971.15i −0.925950 + 0.776964i −0.975086 0.221828i \(-0.928798\pi\)
0.0491358 + 0.998792i \(0.484353\pi\)
\(24\) −1142.33 310.389i −0.404823 0.109996i
\(25\) −366.274 + 133.313i −0.117208 + 0.0426601i
\(26\) 1257.83 0.364912
\(27\) 2650.16 + 2706.57i 0.699621 + 0.714514i
\(28\) −5751.36 −1.38636
\(29\) 4051.77 1474.72i 0.894643 0.325623i 0.146539 0.989205i \(-0.453187\pi\)
0.748104 + 0.663581i \(0.230964\pi\)
\(30\) −796.454 + 790.882i −0.161569 + 0.160438i
\(31\) −422.549 + 354.561i −0.0789719 + 0.0662653i −0.681419 0.731893i \(-0.738637\pi\)
0.602447 + 0.798159i \(0.294192\pi\)
\(32\) 608.521 + 3451.10i 0.105051 + 0.595775i
\(33\) 7407.10 621.846i 1.18403 0.0994026i
\(34\) −1420.44 1191.89i −0.210729 0.176823i
\(35\) −5585.15 + 9673.77i −0.770664 + 1.33483i
\(36\) 2585.83 6952.25i 0.332539 0.894065i
\(37\) −402.555 697.246i −0.0483416 0.0837302i 0.840842 0.541281i \(-0.182060\pi\)
−0.889184 + 0.457550i \(0.848727\pi\)
\(38\) −246.309 + 1396.89i −0.0276708 + 0.156929i
\(39\) −1463.52 + 16077.9i −0.154077 + 1.69265i
\(40\) 4230.51 + 1539.78i 0.418064 + 0.152163i
\(41\) 1031.49 + 375.433i 0.0958313 + 0.0348797i 0.389491 0.921030i \(-0.372651\pi\)
−0.293660 + 0.955910i \(0.594873\pi\)
\(42\) −323.371 + 3552.48i −0.0282864 + 0.310748i
\(43\) 569.492 3229.75i 0.0469696 0.266378i −0.952275 0.305242i \(-0.901263\pi\)
0.999245 + 0.0388640i \(0.0123739\pi\)
\(44\) −7277.71 12605.4i −0.566713 0.981576i
\(45\) −9182.55 11100.7i −0.675977 0.817181i
\(46\) 1862.20 3225.43i 0.129758 0.224747i
\(47\) −7109.81 5965.84i −0.469476 0.393937i 0.377127 0.926161i \(-0.376912\pi\)
−0.846603 + 0.532224i \(0.821356\pi\)
\(48\) −13740.8 + 1153.57i −0.860810 + 0.0722673i
\(49\) 3246.06 + 18409.3i 0.193137 + 1.09534i
\(50\) 362.642 304.293i 0.0205142 0.0172134i
\(51\) 16887.7 16769.6i 0.909171 0.902811i
\(52\) 29707.0 10812.4i 1.52353 0.554518i
\(53\) 30203.0 1.47693 0.738466 0.674291i \(-0.235551\pi\)
0.738466 + 0.674291i \(0.235551\pi\)
\(54\) −4148.85 1988.09i −0.193617 0.0927796i
\(55\) −28269.6 −1.26012
\(56\) 13445.0 4893.56i 0.572914 0.208524i
\(57\) −17568.8 4773.70i −0.716233 0.194611i
\(58\) −4011.60 + 3366.13i −0.156584 + 0.131390i
\(59\) −3368.53 19103.9i −0.125983 0.714482i −0.980719 0.195421i \(-0.937393\pi\)
0.854737 0.519061i \(-0.173718\pi\)
\(60\) −12011.8 + 25525.2i −0.430756 + 0.915357i
\(61\) 5477.70 + 4596.34i 0.188484 + 0.158157i 0.732147 0.681147i \(-0.238519\pi\)
−0.543663 + 0.839304i \(0.682963\pi\)
\(62\) 334.963 580.174i 0.0110667 0.0191681i
\(63\) −45032.4 8266.81i −1.42947 0.262414i
\(64\) 12025.1 + 20828.1i 0.366977 + 0.635622i
\(65\) 10662.0 60466.9i 0.313007 1.77515i
\(66\) −8195.22 + 3786.53i −0.231580 + 0.106999i
\(67\) 25059.4 + 9120.89i 0.682000 + 0.248228i 0.659706 0.751524i \(-0.270681\pi\)
0.0222937 + 0.999751i \(0.492903\pi\)
\(68\) −43793.0 15939.3i −1.14850 0.418021i
\(69\) 39061.5 + 27556.0i 0.987704 + 0.696777i
\(70\) 2355.81 13360.4i 0.0574638 0.325894i
\(71\) 31839.2 + 55147.1i 0.749576 + 1.29830i 0.948026 + 0.318193i \(0.103076\pi\)
−0.198450 + 0.980111i \(0.563591\pi\)
\(72\) −129.545 + 18452.4i −0.00294502 + 0.419490i
\(73\) −3442.85 + 5963.19i −0.0756155 + 0.130970i −0.901354 0.433084i \(-0.857425\pi\)
0.825738 + 0.564053i \(0.190759\pi\)
\(74\) 749.055 + 628.532i 0.0159014 + 0.0133428i
\(75\) 3467.60 + 4989.44i 0.0711830 + 0.102423i
\(76\) 6190.58 + 35108.5i 0.122941 + 0.697234i
\(77\) −68824.0 + 57750.2i −1.32286 + 1.11001i
\(78\) −5008.31 18957.2i −0.0932084 0.352807i
\(79\) 28197.5 10263.1i 0.508327 0.185016i −0.0751083 0.997175i \(-0.523930\pi\)
0.583436 + 0.812159i \(0.301708\pi\)
\(80\) 52442.3 0.916129
\(81\) 30239.6 50718.4i 0.512110 0.858920i
\(82\) −1333.17 −0.0218953
\(83\) −30835.2 + 11223.1i −0.491305 + 0.178820i −0.575779 0.817605i \(-0.695301\pi\)
0.0844743 + 0.996426i \(0.473079\pi\)
\(84\) 22900.3 + 86680.9i 0.354113 + 1.34037i
\(85\) −69337.3 + 58180.9i −1.04093 + 0.873440i
\(86\) 691.659 + 3922.59i 0.0100843 + 0.0571909i
\(87\) −38359.1 55193.8i −0.543338 0.781793i
\(88\) 27738.4 + 23275.3i 0.381834 + 0.320397i
\(89\) −3365.35 + 5828.97i −0.0450356 + 0.0780039i −0.887665 0.460491i \(-0.847673\pi\)
0.842629 + 0.538495i \(0.181007\pi\)
\(90\) 15090.9 + 8854.58i 0.196385 + 0.115229i
\(91\) −97567.1 168991.i −1.23509 2.13925i
\(92\) 16254.7 92184.8i 0.200221 1.13551i
\(93\) 7026.18 + 4956.63i 0.0842388 + 0.0594264i
\(94\) 10592.4 + 3855.32i 0.123644 + 0.0450029i
\(95\) 65064.0 + 23681.4i 0.739659 + 0.269214i
\(96\) 49589.8 22912.5i 0.549179 0.253743i
\(97\) 7581.34 42995.9i 0.0818119 0.463979i −0.916187 0.400751i \(-0.868749\pi\)
0.997999 0.0632279i \(-0.0201395\pi\)
\(98\) −11351.7 19661.7i −0.119397 0.206802i
\(99\) −38865.0 109159.i −0.398539 1.11937i
\(100\) 5949.02 10304.0i 0.0594902 0.103040i
\(101\) 28927.6 + 24273.2i 0.282169 + 0.236768i 0.772877 0.634556i \(-0.218817\pi\)
−0.490707 + 0.871324i \(0.663262\pi\)
\(102\) −12307.6 + 26153.7i −0.117131 + 0.248904i
\(103\) 3306.62 + 18752.8i 0.0307108 + 0.174170i 0.996305 0.0858830i \(-0.0273711\pi\)
−0.965594 + 0.260053i \(0.916260\pi\)
\(104\) −60246.1 + 50552.5i −0.546192 + 0.458310i
\(105\) 168035. + 45657.7i 1.48740 + 0.404149i
\(106\) −34469.9 + 12546.0i −0.297972 + 0.108453i
\(107\) −48395.2 −0.408642 −0.204321 0.978904i \(-0.565499\pi\)
−0.204321 + 0.978904i \(0.565499\pi\)
\(108\) −115076. 11290.1i −0.949346 0.0931404i
\(109\) −30446.4 −0.245453 −0.122727 0.992441i \(-0.539164\pi\)
−0.122727 + 0.992441i \(0.539164\pi\)
\(110\) 32263.3 11742.9i 0.254230 0.0925323i
\(111\) −8905.59 + 8843.29i −0.0686049 + 0.0681250i
\(112\) 127674. 107131.i 0.961739 0.806995i
\(113\) −3048.47 17288.7i −0.0224588 0.127370i 0.971517 0.236970i \(-0.0761542\pi\)
−0.993976 + 0.109600i \(0.965043\pi\)
\(114\) 22033.7 1849.79i 0.158791 0.0133309i
\(115\) −139270. 116861.i −0.982000 0.823996i
\(116\) −65808.8 + 113984.i −0.454087 + 0.786502i
\(117\) 248143. 41960.3i 1.67586 0.283383i
\(118\) 11780.0 + 20403.5i 0.0778824 + 0.134896i
\(119\) −49951.7 + 283290.i −0.323357 + 1.83385i
\(120\) 6361.91 69890.5i 0.0403306 0.443062i
\(121\) −62323.0 22683.7i −0.386977 0.140848i
\(122\) −8160.83 2970.30i −0.0496404 0.0180676i
\(123\) 1551.18 17040.9i 0.00924483 0.101562i
\(124\) 2923.80 16581.7i 0.0170763 0.0968446i
\(125\) 81079.5 + 140434.i 0.464126 + 0.803890i
\(126\) 54828.3 9271.31i 0.307665 0.0520253i
\(127\) −114643. + 198567.i −0.630722 + 1.09244i 0.356682 + 0.934226i \(0.383908\pi\)
−0.987404 + 0.158217i \(0.949425\pi\)
\(128\) −108279. 90856.8i −0.584143 0.490154i
\(129\) −50944.3 + 4276.91i −0.269539 + 0.0226285i
\(130\) 12949.1 + 73438.2i 0.0672021 + 0.381122i
\(131\) −39864.7 + 33450.5i −0.202960 + 0.170304i −0.738602 0.674141i \(-0.764514\pi\)
0.535643 + 0.844445i \(0.320069\pi\)
\(132\) −161002. + 159876.i −0.804262 + 0.798635i
\(133\) 206780. 75261.6i 1.01363 0.368930i
\(134\) −32388.4 −0.155822
\(135\) −130740. + 182593.i −0.617411 + 0.862284i
\(136\) 115937. 0.537495
\(137\) 118482. 43123.9i 0.539325 0.196298i −0.0579720 0.998318i \(-0.518463\pi\)
0.597297 + 0.802020i \(0.296241\pi\)
\(138\) −56026.4 15223.2i −0.250435 0.0680470i
\(139\) −75869.5 + 63662.0i −0.333066 + 0.279475i −0.793948 0.607986i \(-0.791978\pi\)
0.460882 + 0.887461i \(0.347533\pi\)
\(140\) −59209.3 335793.i −0.255311 1.44794i
\(141\) −61604.1 + 130909.i −0.260953 + 0.554525i
\(142\) −59244.8 49712.3i −0.246564 0.206891i
\(143\) 246921. 427679.i 1.00976 1.74895i
\(144\) 72097.6 + 202499.i 0.289744 + 0.813797i
\(145\) 127814. + 221380.i 0.504845 + 0.874417i
\(146\) 1452.19 8235.76i 0.00563820 0.0319758i
\(147\) 264529. 122223.i 1.00967 0.466509i
\(148\) 23093.8 + 8405.47i 0.0866647 + 0.0315434i
\(149\) 410143. + 149280.i 1.51346 + 0.550853i 0.959504 0.281696i \(-0.0908970\pi\)
0.553952 + 0.832549i \(0.313119\pi\)
\(150\) −6030.05 4253.91i −0.0218823 0.0154369i
\(151\) −68787.5 + 390113.i −0.245509 + 1.39235i 0.573799 + 0.818996i \(0.305469\pi\)
−0.819308 + 0.573354i \(0.805642\pi\)
\(152\) −44343.9 76805.8i −0.155677 0.269640i
\(153\) −319982. 187749.i −1.10509 0.648410i
\(154\) 54558.2 94497.7i 0.185378 0.321084i
\(155\) −25051.1 21020.3i −0.0837523 0.0702766i
\(156\) −281243. 404672.i −0.925273 1.33135i
\(157\) −84548.7 479500.i −0.273752 1.55253i −0.742897 0.669406i \(-0.766549\pi\)
0.469145 0.883121i \(-0.344562\pi\)
\(158\) −27918.0 + 23425.9i −0.0889694 + 0.0746542i
\(159\) −120260. 455200.i −0.377248 1.42794i
\(160\) −195227. + 71056.9i −0.602893 + 0.219435i
\(161\) −577789. −1.75673
\(162\) −13443.8 + 70444.8i −0.0402470 + 0.210893i
\(163\) 230832. 0.680498 0.340249 0.940335i \(-0.389489\pi\)
0.340249 + 0.940335i \(0.389489\pi\)
\(164\) −31486.3 + 11460.1i −0.0914139 + 0.0332719i
\(165\) 112561. + 426061.i 0.321869 + 1.21832i
\(166\) 30529.4 25617.2i 0.0859901 0.0721542i
\(167\) −43705.6 247867.i −0.121268 0.687744i −0.983455 0.181154i \(-0.942017\pi\)
0.862187 0.506590i \(-0.169094\pi\)
\(168\) −127287. 183149.i −0.347944 0.500647i
\(169\) 537227. + 450787.i 1.44691 + 1.21410i
\(170\) 54965.1 95202.4i 0.145870 0.252654i
\(171\) −1992.36 + 283793.i −0.00521048 + 0.742183i
\(172\) 50054.4 + 86696.8i 0.129009 + 0.223451i
\(173\) 21902.6 124216.i 0.0556391 0.315545i −0.944268 0.329178i \(-0.893228\pi\)
0.999907 + 0.0136327i \(0.00433956\pi\)
\(174\) 66705.2 + 47057.3i 0.167027 + 0.117829i
\(175\) −69011.6 25118.2i −0.170344 0.0620002i
\(176\) 396359. + 144263.i 0.964510 + 0.351053i
\(177\) −274509. + 126834.i −0.658602 + 0.304301i
\(178\) 1419.50 8050.38i 0.00335804 0.0190444i
\(179\) −198810. 344349.i −0.463773 0.803278i 0.535372 0.844616i \(-0.320171\pi\)
−0.999145 + 0.0413381i \(0.986838\pi\)
\(180\) 432527. + 79401.0i 0.995020 + 0.182661i
\(181\) 422654. 732059.i 0.958935 1.66092i 0.233839 0.972275i \(-0.424871\pi\)
0.725096 0.688648i \(-0.241795\pi\)
\(182\) 181548. + 152337.i 0.406269 + 0.340900i
\(183\) 47462.4 100858.i 0.104766 0.222629i
\(184\) 40437.2 + 229331.i 0.0880514 + 0.499364i
\(185\) 36564.4 30681.2i 0.0785470 0.0659087i
\(186\) −10077.7 2738.27i −0.0213590 0.00580355i
\(187\) −684100. + 248992.i −1.43059 + 0.520693i
\(188\) 283308. 0.584608
\(189\) 54713.9 + 711616.i 0.111415 + 1.44908i
\(190\) −84092.9 −0.168996
\(191\) −515731. + 187711.i −1.02291 + 0.372311i −0.798379 0.602155i \(-0.794309\pi\)
−0.224536 + 0.974466i \(0.572087\pi\)
\(192\) 266027. 264166.i 0.520802 0.517158i
\(193\) 63765.8 53505.8i 0.123224 0.103397i −0.579093 0.815261i \(-0.696593\pi\)
0.702317 + 0.711864i \(0.252149\pi\)
\(194\) 9207.68 + 52219.4i 0.0175649 + 0.0996156i
\(195\) −953772. + 80071.7i −1.79621 + 0.150797i
\(196\) −437114. 366782.i −0.812746 0.681975i
\(197\) −273058. + 472951.i −0.501291 + 0.868262i 0.498708 + 0.866770i \(0.333808\pi\)
−0.999999 + 0.00149151i \(0.999525\pi\)
\(198\) 89699.2 + 108436.i 0.162602 + 0.196568i
\(199\) 332592. + 576065.i 0.595358 + 1.03119i 0.993496 + 0.113865i \(0.0363233\pi\)
−0.398138 + 0.917326i \(0.630343\pi\)
\(200\) −5139.82 + 29149.4i −0.00908601 + 0.0515293i
\(201\) 37684.8 413996.i 0.0657924 0.722781i
\(202\) −43097.2 15686.1i −0.0743140 0.0270481i
\(203\) 763415. + 277860.i 1.30023 + 0.473246i
\(204\) −65856.6 + 723486.i −0.110796 + 1.21718i
\(205\) −11300.6 + 64088.7i −0.0187809 + 0.106512i
\(206\) −11563.5 20028.5i −0.0189854 0.0328838i
\(207\) 259775. 698431.i 0.421378 1.13292i
\(208\) −458057. + 793379.i −0.734111 + 1.27152i
\(209\) 426609. + 357967.i 0.675561 + 0.566863i
\(210\) −210740. + 17692.2i −0.329761 + 0.0276843i
\(211\) −118608. 672660.i −0.183404 1.04013i −0.927989 0.372607i \(-0.878464\pi\)
0.744585 0.667527i \(-0.232647\pi\)
\(212\) −706251. + 592615.i −1.07924 + 0.905593i
\(213\) 704367. 699439.i 1.06378 1.05633i
\(214\) 55232.3 20102.9i 0.0824439 0.0300071i
\(215\) 194431. 0.286860
\(216\) 278619. 71519.8i 0.406327 0.104302i
\(217\) −103930. −0.149827
\(218\) 34747.7 12647.1i 0.0495204 0.0180240i
\(219\) 103582. + 28144.7i 0.145940 + 0.0396540i
\(220\) 661041. 554679.i 0.920813 0.772654i
\(221\) −274569. 1.55716e6i −0.378156 2.14463i
\(222\) 6490.31 13791.9i 0.00883859 0.0187820i
\(223\) −472369. 396365.i −0.636091 0.533744i 0.266724 0.963773i \(-0.414059\pi\)
−0.902815 + 0.430029i \(0.858503\pi\)
\(224\) −330135. + 571811.i −0.439614 + 0.761434i
\(225\) 61390.6 72128.0i 0.0808436 0.0949834i
\(226\) 10660.7 + 18464.9i 0.0138840 + 0.0240478i
\(227\) −192318. + 1.09069e6i −0.247717 + 1.40487i 0.566381 + 0.824143i \(0.308343\pi\)
−0.814098 + 0.580728i \(0.802768\pi\)
\(228\) 504484. 233092.i 0.642703 0.296955i
\(229\) −314496. 114467.i −0.396303 0.144242i 0.136178 0.990684i \(-0.456518\pi\)
−0.532481 + 0.846442i \(0.678740\pi\)
\(230\) 207488. + 75519.4i 0.258626 + 0.0941323i
\(231\) 1.14441e6 + 807327.i 1.41108 + 0.995451i
\(232\) 56857.4 322454.i 0.0693533 0.393322i
\(233\) −753158. 1.30451e6i −0.908858 1.57419i −0.815653 0.578542i \(-0.803622\pi\)
−0.0932059 0.995647i \(-0.529711\pi\)
\(234\) −265769. + 150964.i −0.317296 + 0.180233i
\(235\) 275121. 476523.i 0.324978 0.562878i
\(236\) 453606. + 380621.i 0.530150 + 0.444849i
\(237\) −266953. 384111.i −0.308719 0.444207i
\(238\) −60667.3 344061.i −0.0694244 0.393725i
\(239\) −253911. + 213056.i −0.287532 + 0.241268i −0.775132 0.631799i \(-0.782317\pi\)
0.487600 + 0.873067i \(0.337872\pi\)
\(240\) −208810. 790377.i −0.234004 0.885739i
\(241\) 552766. 201190.i 0.613054 0.223133i −0.0167852 0.999859i \(-0.505343\pi\)
0.629839 + 0.776726i \(0.283121\pi\)
\(242\) 80550.2 0.0884155
\(243\) −884800. 253806.i −0.961235 0.275731i
\(244\) −218273. −0.234706
\(245\) −1.04141e6 + 379042.i −1.10842 + 0.403433i
\(246\) 5308.30 + 20092.7i 0.00559265 + 0.0211690i
\(247\) −926568. + 777483.i −0.966351 + 0.810865i
\(248\) 7273.62 + 41250.8i 0.00750968 + 0.0425895i
\(249\) 291924. + 420041.i 0.298381 + 0.429332i
\(250\) −150869. 126594.i −0.152669 0.128104i
\(251\) 258960. 448532.i 0.259447 0.449375i −0.706647 0.707566i \(-0.749793\pi\)
0.966094 + 0.258191i \(0.0831264\pi\)
\(252\) 1.21522e6 690277.i 1.20546 0.684734i
\(253\) −731128. 1.26635e6i −0.718112 1.24381i
\(254\) 48356.2 274241.i 0.0470292 0.266716i
\(255\) 1.15295e6 + 813348.i 1.11035 + 0.783296i
\(256\) −561876. 204506.i −0.535846 0.195032i
\(257\) 1.25395e6 + 456401.i 1.18426 + 0.431036i 0.857706 0.514141i \(-0.171889\pi\)
0.326557 + 0.945177i \(0.394111\pi\)
\(258\) 56364.8 26042.9i 0.0527180 0.0243579i
\(259\) 26341.6 149391.i 0.0244001 0.138380i
\(260\) 937112. + 1.62313e6i 0.859722 + 1.48908i
\(261\) −679111. + 797889.i −0.617077 + 0.725006i
\(262\) 31601.6 54735.5i 0.0284417 0.0492625i
\(263\) −1.15558e6 969650.i −1.03018 0.864422i −0.0393057 0.999227i \(-0.512515\pi\)
−0.990872 + 0.134805i \(0.956959\pi\)
\(264\) 240344. 510731.i 0.212238 0.451006i
\(265\) 310935. + 1.76340e6i 0.271991 + 1.54254i
\(266\) −204729. + 171788.i −0.177409 + 0.148864i
\(267\) 101250. + 27511.2i 0.0869197 + 0.0236174i
\(268\) −764938. + 278415.i −0.650562 + 0.236785i
\(269\) 588362. 0.495751 0.247876 0.968792i \(-0.420268\pi\)
0.247876 + 0.968792i \(0.420268\pi\)
\(270\) 73362.9 262697.i 0.0612445 0.219304i
\(271\) 818157. 0.676727 0.338363 0.941016i \(-0.390127\pi\)
0.338363 + 0.941016i \(0.390127\pi\)
\(272\) 1.26906e6 461900.i 1.04006 0.378552i
\(273\) −2.15844e6 + 2.14334e6i −1.75281 + 1.74054i
\(274\) −117307. + 98432.4i −0.0943949 + 0.0792067i
\(275\) −32274.6 183038.i −0.0257353 0.145952i
\(276\) −1.45407e6 + 122073.i −1.14898 + 0.0964602i
\(277\) 1.73274e6 + 1.45394e6i 1.35686 + 1.13854i 0.976940 + 0.213515i \(0.0684913\pi\)
0.379915 + 0.925021i \(0.375953\pi\)
\(278\) 60143.3 104171.i 0.0466740 0.0808418i
\(279\) 46727.0 125630.i 0.0359383 0.0966235i
\(280\) 424124. + 734604.i 0.323294 + 0.559962i
\(281\) 148036. 839552.i 0.111841 0.634281i −0.876425 0.481538i \(-0.840078\pi\)
0.988266 0.152743i \(-0.0488106\pi\)
\(282\) 15929.0 174993.i 0.0119280 0.131038i
\(283\) 2.19061e6 + 797317.i 1.62592 + 0.591786i 0.984497 0.175402i \(-0.0561225\pi\)
0.641422 + 0.767188i \(0.278345\pi\)
\(284\) −1.82655e6 664811.i −1.34381 0.489105i
\(285\) 97844.3 1.07490e6i 0.0713548 0.783888i
\(286\) −104151. + 590668.i −0.0752917 + 0.427000i
\(287\) 103411. + 179113.i 0.0741075 + 0.128358i
\(288\) −542775. 656154.i −0.385601 0.466149i
\(289\) −455532. + 789005.i −0.320830 + 0.555693i
\(290\) −237830. 199563.i −0.166062 0.139343i
\(291\) −678194. + 56936.2i −0.469485 + 0.0394145i
\(292\) −36498.3 206992.i −0.0250505 0.142068i
\(293\) −1.93639e6 + 1.62483e6i −1.31772 + 1.10570i −0.330940 + 0.943652i \(0.607366\pi\)
−0.986783 + 0.162049i \(0.948190\pi\)
\(294\) −251129. + 249373.i −0.169445 + 0.168260i
\(295\) 1.08070e6 393343.i 0.723019 0.263158i
\(296\) −61138.3 −0.0405587
\(297\) −1.49043e6 + 1.02039e6i −0.980437 + 0.671235i
\(298\) −530095. −0.345790
\(299\) 2.98440e6 1.08623e6i 1.93054 0.702659i
\(300\) −178983. 48632.3i −0.114817 0.0311976i
\(301\) 473356. 397192.i 0.301142 0.252688i
\(302\) −83543.7 473800.i −0.0527104 0.298936i
\(303\) 250648. 532628.i 0.156840 0.333286i
\(304\) −791393. 664058.i −0.491143 0.412118i
\(305\) −211965. + 367134.i −0.130471 + 0.225982i
\(306\) 443177. + 81356.1i 0.270566 + 0.0496691i
\(307\) −1.38292e6 2.39528e6i −0.837433 1.45048i −0.892034 0.451968i \(-0.850722\pi\)
0.0546015 0.998508i \(-0.482611\pi\)
\(308\) 476224. 2.70080e6i 0.286045 1.62224i
\(309\) 269464. 124504.i 0.160548 0.0741798i
\(310\) 37321.8 + 13584.0i 0.0220576 + 0.00802831i
\(311\) 1.67857e6 + 610950.i 0.984098 + 0.358183i 0.783432 0.621477i \(-0.213467\pi\)
0.200666 + 0.979660i \(0.435689\pi\)
\(312\) 1.00178e6 + 706705.i 0.582619 + 0.411010i
\(313\) 253971. 1.44034e6i 0.146529 0.831006i −0.819598 0.572939i \(-0.805803\pi\)
0.966127 0.258067i \(-0.0830856\pi\)
\(314\) 295673. + 512120.i 0.169234 + 0.293121i
\(315\) 19055.8 2.71432e6i 0.0108206 1.54129i
\(316\) −457984. + 793251.i −0.258008 + 0.446882i
\(317\) −1.73064e6 1.45218e6i −0.967293 0.811656i 0.0148307 0.999890i \(-0.495279\pi\)
−0.982124 + 0.188234i \(0.939724\pi\)
\(318\) 326335. + 469554.i 0.180965 + 0.260386i
\(319\) 357026. + 2.02479e6i 0.196437 + 1.11405i
\(320\) −1.09225e6 + 916505.i −0.596275 + 0.500334i
\(321\) 192696. + 729382.i 0.104378 + 0.395087i
\(322\) 659416. 240008.i 0.354421 0.128999i
\(323\) 1.78308e6 0.950963
\(324\) 288042. + 1.77930e6i 0.152438 + 0.941646i
\(325\) 403681. 0.211997
\(326\) −263442. + 95885.2i −0.137291 + 0.0499698i
\(327\) 121229. + 458868.i 0.0626954 + 0.237311i
\(328\) 63854.7 53580.4i 0.0327724 0.0274993i
\(329\) −303662. 1.72215e6i −0.154668 0.877166i
\(330\) −305445. 439496.i −0.154400 0.222162i
\(331\) 1.59621e6 + 1.33938e6i 0.800792 + 0.671944i 0.948391 0.317103i \(-0.102710\pi\)
−0.147599 + 0.989047i \(0.547155\pi\)
\(332\) 500824. 867453.i 0.249368 0.431917i
\(333\) 168740. + 99008.0i 0.0833887 + 0.0489282i
\(334\) 152841. + 264729.i 0.0749678 + 0.129848i
\(335\) −274539. + 1.55699e6i −0.133657 + 0.758008i
\(336\) −2.12297e6 1.49766e6i −1.02588 0.723709i
\(337\) −2.66358e6 969462.i −1.27759 0.465003i −0.387953 0.921679i \(-0.626818\pi\)
−0.889633 + 0.456676i \(0.849040\pi\)
\(338\) −800375. 291313.i −0.381068 0.138697i
\(339\) −248427. + 114783.i −0.117408 + 0.0542475i
\(340\) 479776. 2.72094e6i 0.225082 1.27650i
\(341\) −131511. 227784.i −0.0612459 0.106081i
\(342\) −115611. 324713.i −0.0534482 0.150119i
\(343\) −177704. + 307793.i −0.0815572 + 0.141261i
\(344\) −190778. 160082.i −0.0869226 0.0729367i
\(345\) −1.20672e6 + 2.56429e6i −0.545834 + 1.15990i
\(346\) 26601.1 + 150862.i 0.0119456 + 0.0677471i
\(347\) 974014. 817295.i 0.434252 0.364380i −0.399301 0.916820i \(-0.630747\pi\)
0.833553 + 0.552439i \(0.186303\pi\)
\(348\) 1.97993e6 + 537976.i 0.876398 + 0.238130i
\(349\) 1.14658e6 417321.i 0.503896 0.183403i −0.0775494 0.996989i \(-0.524710\pi\)
0.581446 + 0.813585i \(0.302487\pi\)
\(350\) 89195.0 0.0389198
\(351\) −1.62043e6 3.57278e6i −0.702042 1.54788i
\(352\) −1.67100e6 −0.718818
\(353\) −2.25543e6 + 820909.i −0.963369 + 0.350638i −0.775353 0.631528i \(-0.782428\pi\)
−0.188016 + 0.982166i \(0.560206\pi\)
\(354\) 260604. 258781.i 0.110528 0.109755i
\(355\) −2.89198e6 + 2.42666e6i −1.21793 + 1.02197i
\(356\) −35676.8 202333.i −0.0149197 0.0846140i
\(357\) 4.46846e6 375139.i 1.85561 0.155784i
\(358\) 369936. + 310413.i 0.152552 + 0.128006i
\(359\) −357633. + 619438.i −0.146454 + 0.253666i −0.929914 0.367776i \(-0.880119\pi\)
0.783460 + 0.621442i \(0.213453\pi\)
\(360\) −1.07868e6 + 182401.i −0.438667 + 0.0741773i
\(361\) 556054. + 963113.i 0.224568 + 0.388964i
\(362\) −178275. + 1.01105e6i −0.0715020 + 0.405508i
\(363\) −93722.3 + 1.02961e6i −0.0373316 + 0.410116i
\(364\) 5.59724e6 + 2.03723e6i 2.21422 + 0.805910i
\(365\) −383604. 139620.i −0.150713 0.0548551i
\(366\) −12272.4 + 134822.i −0.00478880 + 0.0526087i
\(367\) −293138. + 1.66247e6i −0.113608 + 0.644301i 0.873823 + 0.486245i \(0.161634\pi\)
−0.987430 + 0.158056i \(0.949477\pi\)
\(368\) 1.35630e6 + 2.34918e6i 0.522079 + 0.904267i
\(369\) −263006. + 44473.6i −0.100554 + 0.0170034i
\(370\) −28985.4 + 50204.1i −0.0110071 + 0.0190649i
\(371\) 4.35933e6 + 3.65792e6i 1.64432 + 1.37975i
\(372\) −261551. + 21957.9i −0.0979938 + 0.00822684i
\(373\) −524225. 2.97303e6i −0.195095 1.10644i −0.912284 0.409558i \(-0.865683\pi\)
0.717189 0.696878i \(-0.245428\pi\)
\(374\) 677317. 568337.i 0.250388 0.210100i
\(375\) 1.79369e6 1.78115e6i 0.658674 0.654066i
\(376\) −662289. + 241053.i −0.241589 + 0.0879314i
\(377\) −4.46557e6 −1.61817
\(378\) −358042. 789421.i −0.128885 0.284171i
\(379\) −3.61016e6 −1.29101 −0.645503 0.763757i \(-0.723352\pi\)
−0.645503 + 0.763757i \(0.723352\pi\)
\(380\) −1.98608e6 + 722872.i −0.705565 + 0.256804i
\(381\) 3.44916e6 + 937187.i 1.21731 + 0.330761i
\(382\) 510617. 428459.i 0.179035 0.150228i
\(383\) 663735. + 3.76423e6i 0.231205 + 1.31123i 0.850459 + 0.526041i \(0.176324\pi\)
−0.619254 + 0.785191i \(0.712565\pi\)
\(384\) −938200. + 1.99368e6i −0.324689 + 0.689964i
\(385\) −4.08027e6 3.42376e6i −1.40293 1.17720i
\(386\) −50548.5 + 87552.5i −0.0172679 + 0.0299089i
\(387\) 267304. + 750770.i 0.0907253 + 0.254818i
\(388\) 666347. + 1.15415e6i 0.224709 + 0.389208i
\(389\) 381131. 2.16150e6i 0.127703 0.724239i −0.851963 0.523602i \(-0.824588\pi\)
0.979666 0.200637i \(-0.0643011\pi\)
\(390\) 1.05525e6 487571.i 0.351314 0.162322i
\(391\) −4.39950e6 1.60129e6i −1.45533 0.529696i
\(392\) 1.33392e6 + 485507.i 0.438444 + 0.159581i
\(393\) 662874. + 467625.i 0.216496 + 0.152727i
\(394\) 115175. 653193.i 0.0373783 0.211983i
\(395\) 889497. + 1.54065e6i 0.286848 + 0.496835i
\(396\) 3.05061e6 + 1.78994e6i 0.977573 + 0.573590i
\(397\) 1.63656e6 2.83461e6i 0.521142 0.902645i −0.478555 0.878057i \(-0.658839\pi\)
0.999698 0.0245875i \(-0.00782723\pi\)
\(398\) −618870. 519294.i −0.195836 0.164326i
\(399\) −1.95763e6 2.81678e6i −0.615600 0.885770i
\(400\) 59871.9 + 339550.i 0.0187100 + 0.106110i
\(401\) −2.42267e6 + 2.03286e6i −0.752374 + 0.631317i −0.936130 0.351655i \(-0.885619\pi\)
0.183756 + 0.982972i \(0.441174\pi\)
\(402\) 128961. + 488137.i 0.0398010 + 0.150653i
\(403\) 536817. 195385.i 0.164651 0.0599280i
\(404\) −1.15269e6 −0.351367
\(405\) 3.27250e6 + 1.24340e6i 0.991384 + 0.376680i
\(406\) −986687. −0.297074
\(407\) 360754. 131304.i 0.107951 0.0392908i
\(408\) −461627. 1.74733e6i −0.137291 0.519665i
\(409\) 3.65279e6 3.06506e6i 1.07973 0.906004i 0.0838347 0.996480i \(-0.473283\pi\)
0.995899 + 0.0904758i \(0.0288388\pi\)
\(410\) −13724.8 77837.0i −0.00403223 0.0228679i
\(411\) −1.12170e6 1.61398e6i −0.327545 0.471295i
\(412\) −445270. 373626.i −0.129235 0.108441i
\(413\) 1.82749e6 3.16531e6i 0.527207 0.913149i
\(414\) −6353.59 + 905009.i −0.00182187 + 0.259509i
\(415\) −972701. 1.68477e6i −0.277242 0.480197i
\(416\) 630221. 3.57416e6i 0.178550 1.01261i
\(417\) 1.26156e6 + 889972.i 0.355279 + 0.250632i
\(418\) −635574. 231330.i −0.177920 0.0647577i
\(419\) −4.07040e6 1.48150e6i −1.13267 0.412256i −0.293406 0.955988i \(-0.594789\pi\)
−0.839259 + 0.543732i \(0.817011\pi\)
\(420\) −4.82510e6 + 2.22940e6i −1.33470 + 0.616686i
\(421\) −424496. + 2.40743e6i −0.116726 + 0.661987i 0.869155 + 0.494540i \(0.164663\pi\)
−0.985881 + 0.167447i \(0.946448\pi\)
\(422\) 414780. + 718421.i 0.113380 + 0.196380i
\(423\) 2.21826e6 + 407217.i 0.602785 + 0.110656i
\(424\) 1.14677e6 1.98627e6i 0.309787 0.536567i
\(425\) −455867. 382518.i −0.122424 0.102726i
\(426\) −513336. + 1.09084e6i −0.137050 + 0.291230i
\(427\) 233954. + 1.32682e6i 0.0620956 + 0.352162i
\(428\) 1.13165e6 949566.i 0.298608 0.250562i
\(429\) −7.42888e6 2.01854e6i −1.94886 0.529533i
\(430\) −221900. + 80764.9i −0.0578743 + 0.0210645i
\(431\) 1.41794e6 0.367676 0.183838 0.982957i \(-0.441148\pi\)
0.183838 + 0.982957i \(0.441148\pi\)
\(432\) 2.76486e6 1.89290e6i 0.712793 0.487998i
\(433\) 4.13697e6 1.06038 0.530191 0.847878i \(-0.322120\pi\)
0.530191 + 0.847878i \(0.322120\pi\)
\(434\) 118612. 43171.3i 0.0302277 0.0110020i
\(435\) 2.82758e6 2.80780e6i 0.716461 0.711448i
\(436\) 711941. 597390.i 0.179361 0.150502i
\(437\) 621913. + 3.52704e6i 0.155785 + 0.883501i
\(438\) −129906. + 10906.0i −0.0323553 + 0.00271631i
\(439\) 901599. + 756532.i 0.223281 + 0.187355i 0.747565 0.664188i \(-0.231223\pi\)
−0.524284 + 0.851543i \(0.675667\pi\)
\(440\) −1.07336e6 + 1.85912e6i −0.264311 + 0.457800i
\(441\) −2.89534e6 3.50015e6i −0.708931 0.857018i
\(442\) 960186. + 1.66309e6i 0.233776 + 0.404912i
\(443\) −1.05408e6 + 5.97799e6i −0.255191 + 1.44726i 0.540392 + 0.841413i \(0.318276\pi\)
−0.795583 + 0.605845i \(0.792835\pi\)
\(444\) 34728.9 381524.i 0.00836053 0.0918469i
\(445\) −374969. 136478.i −0.0897627 0.0326709i
\(446\) 703749. + 256144.i 0.167525 + 0.0609742i
\(447\) 616780. 6.77580e6i 0.146003 1.60395i
\(448\) −786873. + 4.46258e6i −0.185229 + 1.05049i
\(449\) −2.15001e6 3.72393e6i −0.503297 0.871737i −0.999993 0.00381167i \(-0.998787\pi\)
0.496695 0.867925i \(-0.334547\pi\)
\(450\) −40102.3 + 107819.i −0.00933551 + 0.0250994i
\(451\) −261711. + 453296.i −0.0605871 + 0.104940i
\(452\) 410507. + 344456.i 0.0945093 + 0.0793028i
\(453\) 6.15343e6 516597.i 1.40887 0.118279i
\(454\) −233574. 1.32466e6i −0.0531844 0.301624i
\(455\) 8.86210e6 7.43618e6i 2.00682 1.68392i
\(456\) −981004. + 974141.i −0.220932 + 0.219386i
\(457\) −6.12806e6 + 2.23043e6i −1.37256 + 0.499572i −0.919916 0.392117i \(-0.871743\pi\)
−0.452649 + 0.891689i \(0.649521\pi\)
\(458\) 406475. 0.0905463
\(459\) −1.55556e6 + 5.57014e6i −0.344632 + 1.23405i
\(460\) 5.54954e6 1.22282
\(461\) 1.10120e6 400803.i 0.241331 0.0878373i −0.218523 0.975832i \(-0.570124\pi\)
0.459854 + 0.887994i \(0.347902\pi\)
\(462\) −1.64144e6 446005.i −0.357784 0.0972153i
\(463\) −2.97716e6 + 2.49813e6i −0.645430 + 0.541580i −0.905680 0.423961i \(-0.860639\pi\)
0.260251 + 0.965541i \(0.416195\pi\)
\(464\) −662311. 3.75615e6i −0.142813 0.809931i
\(465\) −217059. + 461251.i −0.0465528 + 0.0989247i
\(466\) 1.40144e6 + 1.17595e6i 0.298958 + 0.250855i
\(467\) −574437. + 994953.i −0.121885 + 0.211111i −0.920511 0.390717i \(-0.872227\pi\)
0.798626 + 0.601828i \(0.205561\pi\)
\(468\) −4.97913e6 + 5.85000e6i −1.05085 + 1.23464i
\(469\) 2.51230e6 + 4.35143e6i 0.527399 + 0.913482i
\(470\) −116045. + 658126.i −0.0242317 + 0.137425i
\(471\) −6.89006e6 + 3.18349e6i −1.43110 + 0.661229i
\(472\) −1.38425e6 503825.i −0.285995 0.104094i
\(473\) 1.46951e6 + 534859.i 0.302009 + 0.109922i
\(474\) 464222. + 327486.i 0.0949030 + 0.0669495i
\(475\) −79049.0 + 448309.i −0.0160754 + 0.0911683i
\(476\) −4.39041e6 7.60441e6i −0.888152 1.53832i
\(477\) −6.38165e6 + 3.62495e6i −1.28421 + 0.729468i
\(478\) 201280. 348628.i 0.0402932 0.0697898i
\(479\) −3.38132e6 2.83726e6i −0.673360 0.565016i 0.240698 0.970600i \(-0.422624\pi\)
−0.914058 + 0.405584i \(0.867068\pi\)
\(480\) 1.84826e6 + 2.65941e6i 0.366151 + 0.526845i
\(481\) 144792. + 821154.i 0.0285352 + 0.161831i
\(482\) −547285. + 459227.i −0.107299 + 0.0900346i
\(483\) 2.30059e6 + 8.70807e6i 0.448716 + 1.69845i
\(484\) 1.90241e6 692419.i 0.369139 0.134356i
\(485\) 2.58836e6 0.499655
\(486\) 1.11523e6 77875.0i 0.214177 0.0149557i
\(487\) 864205. 0.165118 0.0825590 0.996586i \(-0.473691\pi\)
0.0825590 + 0.996586i \(0.473691\pi\)
\(488\) 510256. 185718.i 0.0969925 0.0353024i
\(489\) −919105. 3.47895e6i −0.173817 0.657924i
\(490\) 1.03108e6 865181.i 0.194001 0.162786i
\(491\) 842851. + 4.78005e6i 0.157778 + 0.894805i 0.956202 + 0.292709i \(0.0945566\pi\)
−0.798423 + 0.602096i \(0.794332\pi\)
\(492\) 298088. + 428911.i 0.0555178 + 0.0798830i
\(493\) 5.04286e6 + 4.23146e6i 0.934458 + 0.784103i
\(494\) 734510. 1.27221e6i 0.135419 0.234553i
\(495\) 5.97313e6 3.39290e6i 1.09569 0.622384i
\(496\) 243964. + 422558.i 0.0445268 + 0.0771227i
\(497\) −2.08343e6 + 1.18157e7i −0.378344 + 2.14570i
\(498\) −507646. 358120.i −0.0917249 0.0647075i
\(499\) 800708. + 291434.i 0.143954 + 0.0523948i 0.412992 0.910735i \(-0.364484\pi\)
−0.269039 + 0.963129i \(0.586706\pi\)
\(500\) −4.65138e6 1.69296e6i −0.832064 0.302847i
\(501\) −3.56166e6 + 1.64564e6i −0.633955 + 0.292913i
\(502\) −109229. + 619468.i −0.0193454 + 0.109713i
\(503\) −2.89525e6 5.01472e6i −0.510230 0.883745i −0.999930 0.0118535i \(-0.996227\pi\)
0.489699 0.871891i \(-0.337107\pi\)
\(504\) −2.25349e6 + 2.64763e6i −0.395165 + 0.464281i
\(505\) −1.11938e6 + 1.93883e6i −0.195321 + 0.338306i
\(506\) 1.36045e6 + 1.14155e6i 0.236214 + 0.198207i
\(507\) 4.65489e6 9.89164e6i 0.804247 1.70903i
\(508\) −1.21535e6 6.89261e6i −0.208950 1.18502i
\(509\) 8.26668e6 6.93657e6i 1.41428 1.18673i 0.459964 0.887937i \(-0.347862\pi\)
0.954320 0.298788i \(-0.0965823\pi\)
\(510\) −1.65369e6 449331.i −0.281532 0.0764964i
\(511\) −1.21913e6 + 443727.i −0.206537 + 0.0751733i
\(512\) 5.24934e6 0.884973
\(513\) 4.28508e6 1.09995e6i 0.718895 0.184536i
\(514\) −1.62069e6 −0.270577
\(515\) −1.06084e6 + 386114.i −0.176251 + 0.0641501i
\(516\) 1.10734e6 1.09959e6i 0.183086 0.181805i
\(517\) 3.39022e6 2.84473e6i 0.557830 0.468075i
\(518\) 31992.3 + 181438.i 0.00523868 + 0.0297100i
\(519\) −1.95931e6 + 164489.i −0.319290 + 0.0268052i
\(520\) −3.57173e6 2.99703e6i −0.579255 0.486053i
\(521\) −1.23228e6 + 2.13436e6i −0.198890 + 0.344488i −0.948169 0.317767i \(-0.897067\pi\)
0.749279 + 0.662255i \(0.230400\pi\)
\(522\) 443617. 1.19271e6i 0.0712576 0.191583i
\(523\) 1.04744e6 + 1.81422e6i 0.167446 + 0.290025i 0.937521 0.347928i \(-0.113115\pi\)
−0.770075 + 0.637953i \(0.779781\pi\)
\(524\) 275842. 1.56438e6i 0.0438865 0.248893i
\(525\) −103781. + 1.14011e6i −0.0164331 + 0.180530i
\(526\) 1.72162e6 + 626619.i 0.271315 + 0.0987505i
\(527\) −791358. 288031.i −0.124121 0.0451764i
\(528\) 596051. 6.54808e6i 0.0930461 1.02218i
\(529\) 515305. 2.92244e6i 0.0800617 0.454053i
\(530\) −1.08736e6 1.88336e6i −0.168145 0.291236i
\(531\) 3.00458e6 + 3.63221e6i 0.462432 + 0.559029i
\(532\) −3.35851e6 + 5.81711e6i −0.514479 + 0.891104i
\(533\) −870868. 730745.i −0.132781 0.111416i
\(534\) −126982. + 10660.5i −0.0192704 + 0.00161780i
\(535\) −498221. 2.82555e6i −0.0752554 0.426795i
\(536\) 1.55130e6 1.30170e6i 0.233230 0.195703i
\(537\) −4.39820e6 + 4.36743e6i −0.658172 + 0.653567i
\(538\) −671482. + 244400.i −0.100018 + 0.0364036i
\(539\) −8.91366e6 −1.32155
\(540\) −525516. 6.83492e6i −0.0775535 1.00867i
\(541\) 7.87225e6 1.15639 0.578197 0.815897i \(-0.303757\pi\)
0.578197 + 0.815897i \(0.303757\pi\)
\(542\) −933742. + 339854.i −0.136530 + 0.0496929i
\(543\) −1.27160e7 3.45513e6i −1.85077 0.502881i
\(544\) −4.09849e6 + 3.43904e6i −0.593781 + 0.498241i
\(545\) −313440. 1.77761e6i −0.0452026 0.256357i
\(546\) 1.57305e6 3.34274e6i 0.225820 0.479867i
\(547\) −9.72951e6 8.16403e6i −1.39034 1.16664i −0.965200 0.261513i \(-0.915779\pi\)
−0.425145 0.905125i \(-0.639777\pi\)
\(548\) −1.92438e6 + 3.33313e6i −0.273741 + 0.474134i
\(549\) −1.70904e6 313737.i −0.242004 0.0444258i
\(550\) 112866. + 195490.i 0.0159096 + 0.0275562i
\(551\) 874450. 4.95925e6i 0.122703 0.695885i
\(552\) 3.29532e6 1.52257e6i 0.460309 0.212682i
\(553\) 5.31285e6 + 1.93372e6i 0.738779 + 0.268893i
\(554\) −2.58148e6 939582.i −0.357351 0.130065i
\(555\) −607996. 428912.i −0.0837854 0.0591066i
\(556\) 524974. 2.97728e6i 0.0720197 0.408444i
\(557\) 4.29301e6 + 7.43571e6i 0.586306 + 1.01551i 0.994711 + 0.102710i \(0.0327515\pi\)
−0.408406 + 0.912800i \(0.633915\pi\)
\(558\) −1142.85 + 162788.i −0.000155383 + 0.0221329i
\(559\) −1.69826e6 + 2.94148e6i −0.229866 + 0.398140i
\(560\) 7.56923e6 + 6.35134e6i 1.01996 + 0.855845i
\(561\) 6.47654e6 + 9.31891e6i 0.868832 + 1.25014i
\(562\) 179792. + 1.01965e6i 0.0240121 + 0.136179i
\(563\) 3.22069e6 2.70248e6i 0.428230 0.359328i −0.403053 0.915177i \(-0.632051\pi\)
0.831284 + 0.555849i \(0.187607\pi\)
\(564\) −1.12805e6 4.26984e6i −0.149324 0.565215i
\(565\) 978018. 355969.i 0.128892 0.0469128i
\(566\) −2.83128e6 −0.371486
\(567\) 1.05072e7 3.65806e6i 1.37255 0.477852i
\(568\) 4.83559e6 0.628895
\(569\) 6.68360e6 2.43263e6i 0.865426 0.314989i 0.129113 0.991630i \(-0.458787\pi\)
0.736314 + 0.676641i \(0.236565\pi\)
\(570\) 334834. + 1.26739e6i 0.0431660 + 0.163390i
\(571\) 7.71342e6 6.47233e6i 0.990049 0.830750i 0.00447419 0.999990i \(-0.498576\pi\)
0.985575 + 0.169240i \(0.0541314\pi\)
\(572\) 2.61766e6 + 1.48455e7i 0.334520 + 1.89716i
\(573\) 4.88254e6 + 7.02535e6i 0.621240 + 0.893885i
\(574\) −192422. 161461.i −0.0243767 0.0204545i
\(575\) 597646. 1.03515e6i 0.0753831 0.130567i
\(576\) −5.04058e6 2.95756e6i −0.633030 0.371430i
\(577\) −6.63638e6 1.14945e7i −0.829834 1.43732i −0.898168 0.439653i \(-0.855101\pi\)
0.0683334 0.997663i \(-0.478232\pi\)
\(578\) 192143. 1.08969e6i 0.0239224 0.135670i
\(579\) −1.06030e6 747992.i −0.131442 0.0927258i
\(580\) −7.33245e6 2.66879e6i −0.905063 0.329416i
\(581\) −5.80981e6 2.11460e6i −0.714039 0.259889i
\(582\) 750355. 346695.i 0.0918246 0.0424267i
\(583\) −2.50087e6 + 1.41831e7i −0.304733 + 1.72823i
\(584\) 261442. + 452831.i 0.0317208 + 0.0549420i
\(585\) 5.00443e6 + 1.40558e7i 0.604596 + 1.69811i
\(586\) 1.53502e6 2.65873e6i 0.184659 0.319838i
\(587\) −4.27111e6 3.58389e6i −0.511618 0.429299i 0.350080 0.936720i \(-0.386154\pi\)
−0.861698 + 0.507421i \(0.830599\pi\)
\(588\) −3.78745e6 + 8.04833e6i −0.451755 + 0.959980i
\(589\) 111866. + 634425.i 0.0132865 + 0.0753516i
\(590\) −1.06998e6 + 897823.i −0.126546 + 0.106184i
\(591\) 8.21526e6 + 2.23221e6i 0.967503 + 0.262885i
\(592\) −669228. + 243579.i −0.0784819 + 0.0285651i
\(593\) −1.67038e6 −0.195064 −0.0975321 0.995232i \(-0.531095\pi\)
−0.0975321 + 0.995232i \(0.531095\pi\)
\(594\) 1.27713e6 1.78365e6i 0.148514 0.207417i
\(595\) −1.70541e7 −1.97486
\(596\) −1.25196e7 + 4.55676e6i −1.44369 + 0.525461i
\(597\) 7.35781e6 7.30633e6i 0.844914 0.839003i
\(598\) −2.95480e6 + 2.47938e6i −0.337890 + 0.283524i
\(599\) 2.68862e6 + 1.52479e7i 0.306170 + 1.73638i 0.617946 + 0.786221i \(0.287965\pi\)
−0.311775 + 0.950156i \(0.600924\pi\)
\(600\) 459786. 38600.3i 0.0521408 0.00437736i
\(601\) 2.24768e6 + 1.88603e6i 0.253833 + 0.212991i 0.760821 0.648962i \(-0.224797\pi\)
−0.506988 + 0.861953i \(0.669241\pi\)
\(602\) −375239. + 649933.i −0.0422004 + 0.0730932i
\(603\) −6.38954e6 + 1.08045e6i −0.715610 + 0.121008i
\(604\) −6.04594e6 1.04719e7i −0.674329 1.16797i
\(605\) 682781. 3.87225e6i 0.0758391 0.430105i
\(606\) −64810.3 + 711991.i −0.00716906 + 0.0787577i
\(607\) −7.90537e6 2.87732e6i −0.870864 0.316969i −0.132347 0.991203i \(-0.542251\pi\)
−0.738517 + 0.674235i \(0.764474\pi\)
\(608\) 3.84589e6 + 1.39979e6i 0.421928 + 0.153569i
\(609\) 1.14804e6 1.26121e7i 0.125433 1.37798i
\(610\) 89406.3 507048.i 0.00972844 0.0551728i
\(611\) 4.80609e6 + 8.32439e6i 0.520821 + 0.902089i
\(612\) 1.11661e7 1.88816e6i 1.20510 0.203780i
\(613\) 3.76159e6 6.51527e6i 0.404316 0.700295i −0.589926 0.807457i \(-0.700843\pi\)
0.994242 + 0.107162i \(0.0341764\pi\)
\(614\) 2.57326e6 + 2.15922e6i 0.275463 + 0.231141i
\(615\) 1.01090e6 84867.8i 0.107776 0.00904805i
\(616\) 1.18472e6 + 6.71885e6i 0.125795 + 0.713417i
\(617\) −1.23929e7 + 1.03989e7i −1.31057 + 1.09970i −0.322358 + 0.946618i \(0.604475\pi\)
−0.988213 + 0.153082i \(0.951080\pi\)
\(618\) −255815. + 254025.i −0.0269436 + 0.0267551i
\(619\) 1.17819e7 4.28826e6i 1.23591 0.449836i 0.360296 0.932838i \(-0.382676\pi\)
0.875619 + 0.483002i \(0.160454\pi\)
\(620\) 998222. 0.104291
\(621\) −1.15607e7 1.13422e6i −1.20297 0.118023i
\(622\) −2.16949e6 −0.224844
\(623\) −1.19169e6 + 433739.i −0.123011 + 0.0447722i
\(624\) 1.37811e7 + 3.74454e6i 1.41685 + 0.384979i
\(625\) −8.29761e6 + 6.96252e6i −0.849675 + 0.712962i
\(626\) 308452. + 1.74932e6i 0.0314595 + 0.178416i
\(627\) 3.69642e6 7.85490e6i 0.375503 0.797943i
\(628\) 1.13853e7 + 9.55343e6i 1.15198 + 0.966629i
\(629\) 614596. 1.06451e6i 0.0619388 0.107281i
\(630\) 1.10575e6 + 3.10570e6i 0.110996 + 0.311751i
\(631\) 6.03298e6 + 1.04494e7i 0.603196 + 1.04477i 0.992334 + 0.123586i \(0.0394396\pi\)
−0.389138 + 0.921179i \(0.627227\pi\)
\(632\) 395688. 2.24406e6i 0.0394058 0.223482i
\(633\) −9.66564e6 + 4.46592e6i −0.958785 + 0.442998i
\(634\) 2.57835e6 + 938444.i 0.254753 + 0.0927225i
\(635\) −1.27736e7 4.64920e6i −1.25712 0.457556i
\(636\) 1.17436e7 + 8.28454e6i 1.15122 + 0.812130i
\(637\) 3.36181e6 1.90658e7i 0.328265 1.86169i
\(638\) −1.24854e6 2.16254e6i −0.121437 0.210335i
\(639\) −1.33461e7 7.83080e6i −1.29301 0.758672i
\(640\) 4.18995e6 7.25721e6i 0.404352 0.700357i
\(641\) −7.15149e6 6.00081e6i −0.687466 0.576853i 0.230711 0.973022i \(-0.425895\pi\)
−0.918177 + 0.396169i \(0.870339\pi\)
\(642\) −522897. 752381.i −0.0500701 0.0720444i
\(643\) 812269. + 4.60661e6i 0.0774769 + 0.439394i 0.998728 + 0.0504248i \(0.0160575\pi\)
−0.921251 + 0.388969i \(0.872831\pi\)
\(644\) 1.35107e7 1.13368e7i 1.28370 1.07715i
\(645\) −774170. 2.93035e6i −0.0732718 0.277345i
\(646\) −2.03498e6 + 740672.i −0.191857 + 0.0698304i
\(647\) 1.12649e7 1.05796 0.528979 0.848635i \(-0.322575\pi\)
0.528979 + 0.848635i \(0.322575\pi\)
\(648\) −2.18728e6 3.91439e6i −0.204629 0.366207i
\(649\) 9.24997e6 0.862042
\(650\) −460710. + 167685.i −0.0427705 + 0.0155672i
\(651\) 413818. + 1.56636e6i 0.0382698 + 0.144857i
\(652\) −5.39765e6 + 4.52916e6i −0.497262 + 0.417253i
\(653\) −3.64090e6 2.06486e7i −0.334138 1.89499i −0.435583 0.900148i \(-0.643458\pi\)
0.101446 0.994841i \(-0.467653\pi\)
\(654\) −328964. 473337.i −0.0300749 0.0432739i
\(655\) −2.36340e6 1.98313e6i −0.215246 0.180613i
\(656\) 485494. 840900.i 0.0440478 0.0762930i
\(657\) 11746.5 1.67318e6i 0.00106169 0.151227i
\(658\) 1.06193e6 + 1.83931e6i 0.0956158 + 0.165611i
\(659\) 2.85898e6 1.62141e7i 0.256447 1.45439i −0.535883 0.844293i \(-0.680021\pi\)
0.792330 0.610093i \(-0.208868\pi\)
\(660\) −1.09918e7 7.75421e6i −0.982224 0.692912i
\(661\) 7.32128e6 + 2.66473e6i 0.651753 + 0.237219i 0.646672 0.762768i \(-0.276160\pi\)
0.00508131 + 0.999987i \(0.498383\pi\)
\(662\) −2.37808e6 865549.i −0.210902 0.0767620i
\(663\) −2.23752e7 + 1.03383e7i −1.97690 + 0.913408i
\(664\) −432701. + 2.45397e6i −0.0380862 + 0.215998i
\(665\) 6.52291e6 + 1.12980e7i 0.571988 + 0.990712i
\(666\) −233705. 42902.4i −0.0204166 0.00374797i
\(667\) −6.61123e6 + 1.14510e7i −0.575397 + 0.996617i
\(668\) 5.88539e6 + 4.93843e6i 0.510310 + 0.428201i
\(669\) −4.09292e6 + 8.69746e6i −0.353564 + 0.751323i
\(670\) −333433. 1.89099e6i −0.0286960 0.162743i
\(671\) −2.61197e6 + 2.19170e6i −0.223956 + 0.187921i
\(672\) 9.93247e6 + 2.69880e6i 0.848465 + 0.230541i
\(673\) −4.88681e6 + 1.77865e6i −0.415899 + 0.151375i −0.541490 0.840707i \(-0.682140\pi\)
0.125591 + 0.992082i \(0.459917\pi\)
\(674\) 3.44258e6 0.291900
\(675\) −1.33151e6 638047.i −0.112482 0.0539006i
\(676\) −2.14071e7 −1.80174
\(677\) 2.10263e7 7.65293e6i 1.76315 0.641736i 0.763165 0.646204i \(-0.223644\pi\)
0.999990 + 0.00446786i \(0.00142217\pi\)
\(678\) 235843. 234193.i 0.0197038 0.0195659i
\(679\) 6.30153e6 5.28761e6i 0.524531 0.440134i
\(680\) 1.19355e6 + 6.76896e6i 0.0989848 + 0.561371i
\(681\) 1.72039e7 1.44432e6i 1.42154 0.119342i
\(682\) 244710. + 205336.i 0.0201461 + 0.0169046i
\(683\) 4.83745e6 8.37871e6i 0.396794 0.687267i −0.596534 0.802587i \(-0.703456\pi\)
0.993328 + 0.115320i \(0.0367894\pi\)
\(684\) −5.52173e6 6.67515e6i −0.451268 0.545533i
\(685\) 3.73754e6 + 6.47361e6i 0.304340 + 0.527133i
\(686\) 74955.3 425092.i 0.00608124 0.0344884i
\(687\) −472945. + 5.19567e6i −0.0382313 + 0.420000i
\(688\) −2.72606e6 992205.i −0.219566 0.0799154i
\(689\) −2.93936e7 1.06984e7i −2.35888 0.858561i
\(690\) 312023. 3.42782e6i 0.0249497 0.274091i
\(691\) 3.85056e6 2.18376e7i 0.306781 1.73984i −0.308221 0.951315i \(-0.599734\pi\)
0.615002 0.788526i \(-0.289155\pi\)
\(692\) 1.92509e6 + 3.33435e6i 0.152822 + 0.264695i
\(693\) 7.61080e6 2.04624e7i 0.602001 1.61854i
\(694\) −772121. + 1.33735e6i −0.0608537 + 0.105402i
\(695\) −4.49797e6 3.77424e6i −0.353227 0.296393i
\(696\) −5.08621e6 + 427001.i −0.397989 + 0.0334123i
\(697\) 291015. + 1.65043e6i 0.0226899 + 0.128681i
\(698\) −1.13521e6 + 952556.i −0.0881939 + 0.0740034i
\(699\) −1.66619e7 + 1.65453e7i −1.28982 + 1.28080i
\(700\) 2.10658e6 766731.i 0.162492 0.0591423i
\(701\) 1.14342e7 0.878839 0.439419 0.898282i \(-0.355184\pi\)
0.439419 + 0.898282i \(0.355184\pi\)
\(702\) 3.33345e6 + 3.40441e6i 0.255300 + 0.260735i
\(703\) −940289. −0.0717585
\(704\) −1.07764e7 + 3.92229e6i −0.819488 + 0.298269i
\(705\) −8.27730e6 2.24907e6i −0.627214 0.170424i
\(706\) 2.23307e6 1.87377e6i 0.168613 0.141483i
\(707\) 1.23551e6 + 7.00691e6i 0.0929601 + 0.527203i
\(708\) 3.93034e6 8.35198e6i 0.294678 0.626191i
\(709\) 1.06938e7 + 8.97317e6i 0.798944 + 0.670394i 0.947942 0.318444i \(-0.103160\pi\)
−0.148997 + 0.988838i \(0.547605\pi\)
\(710\) 2.29253e6 3.97078e6i 0.170675 0.295617i
\(711\) −4.72614e6 + 5.55276e6i −0.350617 + 0.411941i
\(712\) 255557. + 442638.i 0.0188925 + 0.0327227i
\(713\) 293729. 1.66582e6i 0.0216383 0.122717i
\(714\) −4.94391e6 + 2.28429e6i −0.362932 + 0.167689i
\(715\) 2.75120e7 + 1.00136e7i 2.01260 + 0.732526i
\(716\) 1.14053e7 + 4.15121e6i 0.831430 + 0.302616i
\(717\) 4.22205e6 + 2.97845e6i 0.306708 + 0.216368i
\(718\) 150849. 855506.i 0.0109202 0.0619315i
\(719\) −2.26800e6 3.92829e6i −0.163614 0.283388i 0.772548 0.634956i \(-0.218982\pi\)
−0.936162 + 0.351568i \(0.885649\pi\)
\(720\) −1.10806e7 + 6.29410e6i −0.796587 + 0.452483i
\(721\) −1.79391e6 + 3.10714e6i −0.128518 + 0.222599i
\(722\) −1.03468e6 868197.i −0.0738689 0.0619834i
\(723\) −5.23317e6 7.52985e6i −0.372322 0.535723i
\(724\) 4.48064e6 + 2.54110e7i 0.317683 + 1.80167i
\(725\) −1.28746e6 + 1.08031e6i −0.0909680 + 0.0763312i
\(726\) −320728. 1.21400e6i −0.0225837 0.0854826i
\(727\) 1.34591e7 4.89870e6i 0.944449 0.343751i 0.176528 0.984296i \(-0.443513\pi\)
0.767921 + 0.640544i \(0.221291\pi\)
\(728\) −1.48180e7 −1.03625
\(729\) −302181. + 1.43457e7i −0.0210595 + 0.999778i
\(730\) 495794. 0.0344345
\(731\) 4.70508e6 1.71251e6i 0.325667 0.118533i
\(732\) 869099. + 3.28967e6i 0.0599503 + 0.226921i
\(733\) −1.52981e6 + 1.28366e6i −0.105167 + 0.0882453i −0.693855 0.720115i \(-0.744089\pi\)
0.588688 + 0.808360i \(0.299645\pi\)
\(734\) −356022. 2.01910e6i −0.0243914 0.138331i
\(735\) 9.85926e6 + 1.41862e7i 0.673172 + 0.968608i
\(736\) −8.23214e6 6.90759e6i −0.560168 0.470037i
\(737\) −6.35807e6 + 1.10125e7i −0.431178 + 0.746822i
\(738\) 281688. 160007.i 0.0190383 0.0108143i
\(739\) −758648. 1.31402e6i −0.0511010 0.0885095i 0.839343 0.543601i \(-0.182940\pi\)
−0.890444 + 0.455092i \(0.849606\pi\)
\(740\) −253005. + 1.43487e6i −0.0169844 + 0.0963234i
\(741\) 1.54071e7 + 1.08689e7i 1.03080 + 0.727179i
\(742\) −6.49466e6 2.36386e6i −0.433058 0.157620i
\(743\) 2.16690e7 + 7.88686e6i 1.44001 + 0.524122i 0.939783 0.341771i \(-0.111027\pi\)
0.500230 + 0.865893i \(0.333249\pi\)
\(744\) 592744. 273872.i 0.0392586 0.0181391i
\(745\) −4.49333e6 + 2.54830e7i −0.296605 + 1.68213i
\(746\) 1.83325e6 + 3.17528e6i 0.120608 + 0.208898i
\(747\) 5.16823e6 6.07217e6i 0.338876 0.398146i
\(748\) 1.11111e7 1.92451e7i 0.726114 1.25767i
\(749\) −6.98510e6 5.86120e6i −0.454955 0.381752i
\(750\) −1.30723e6 + 2.77786e6i −0.0848590 + 0.180325i
\(751\) 547782. + 3.10663e6i 0.0354412 + 0.200997i 0.997387 0.0722432i \(-0.0230158\pi\)
−0.961946 + 0.273240i \(0.911905\pi\)
\(752\) −6.28913e6 + 5.27721e6i −0.405551 + 0.340298i
\(753\) −7.79110e6 2.11696e6i −0.500739 0.136058i
\(754\) 5.09644e6 1.85495e6i 0.326466 0.118824i
\(755\) −2.34849e7 −1.49941
\(756\) −1.52421e7 1.55665e7i −0.969927 0.990573i
\(757\) −1.85638e7 −1.17741 −0.588704 0.808349i \(-0.700362\pi\)
−0.588704 + 0.808349i \(0.700362\pi\)
\(758\) 4.12018e6 1.49962e6i 0.260462