Properties

Label 43.6.g.a.9.11
Level 43
Weight 6
Character 43.9
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.11
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.11

$q$-expansion

\(f(q)\) \(=\) \(q+(2.53765 + 3.18211i) q^{2} +(2.05098 + 0.309135i) q^{3} +(3.43451 - 15.0476i) q^{4} +(-53.1952 - 36.2679i) q^{5} +(4.22095 + 7.31090i) q^{6} +(95.1032 - 164.724i) q^{7} +(173.943 - 83.7664i) q^{8} +(-228.093 - 70.3575i) q^{9} +O(q^{10})\) \(q+(2.53765 + 3.18211i) q^{2} +(2.05098 + 0.309135i) q^{3} +(3.43451 - 15.0476i) q^{4} +(-53.1952 - 36.2679i) q^{5} +(4.22095 + 7.31090i) q^{6} +(95.1032 - 164.724i) q^{7} +(173.943 - 83.7664i) q^{8} +(-228.093 - 70.3575i) q^{9} +(-19.5823 - 261.308i) q^{10} +(96.9428 + 424.734i) q^{11} +(11.6958 - 29.8005i) q^{12} +(13.6916 - 182.702i) q^{13} +(765.507 - 115.382i) q^{14} +(-97.8904 - 90.8290i) q^{15} +(262.965 + 126.637i) q^{16} +(1594.33 - 1087.00i) q^{17} +(-354.935 - 904.359i) q^{18} +(-580.594 + 179.089i) q^{19} +(-728.443 + 675.896i) q^{20} +(245.976 - 308.444i) q^{21} +(-1105.54 + 1386.31i) q^{22} +(-1037.96 + 963.085i) q^{23} +(382.647 - 118.031i) q^{24} +(372.679 + 949.571i) q^{25} +(616.122 - 420.065i) q^{26} +(-900.167 - 433.498i) q^{27} +(-2152.06 - 1996.82i) q^{28} +(2777.63 - 418.660i) q^{29} +(40.6165 - 541.989i) q^{30} +(-3014.63 + 7681.14i) q^{31} +(-1110.39 - 4864.94i) q^{32} +(67.5272 + 901.088i) q^{33} +(7504.78 + 2314.92i) q^{34} +(-11033.2 + 5313.31i) q^{35} +(-1842.10 + 3190.61i) q^{36} +(-1498.58 - 2595.62i) q^{37} +(-2043.22 - 1393.05i) q^{38} +(84.5608 - 370.485i) q^{39} +(-12290.9 - 1852.56i) q^{40} +(11660.1 + 14621.3i) q^{41} +1605.70 q^{42} +(9870.02 - 7042.10i) q^{43} +6724.17 q^{44} +(9581.75 + 12015.1i) q^{45} +(-5698.61 - 858.927i) q^{46} +(-491.637 + 2154.00i) q^{47} +(500.187 + 341.022i) q^{48} +(-9685.75 - 16776.2i) q^{49} +(-2075.91 + 3595.58i) q^{50} +(3605.96 - 1736.54i) q^{51} +(-2702.20 - 833.518i) q^{52} +(-1322.43 - 17646.7i) q^{53} +(-904.869 - 3964.49i) q^{54} +(10247.3 - 26109.7i) q^{55} +(2744.21 - 36618.9i) q^{56} +(-1246.15 + 187.826i) q^{57} +(8380.85 + 7776.29i) q^{58} +(41421.6 + 19947.6i) q^{59} +(-1702.96 + 1161.06i) q^{60} +(-3304.30 - 8419.22i) q^{61} +(-32092.3 + 9899.15i) q^{62} +(-33281.9 + 30881.1i) q^{63} +(18486.3 - 23181.0i) q^{64} +(-7354.54 + 9222.30i) q^{65} +(-2696.00 + 2501.52i) q^{66} +(67555.3 - 20838.1i) q^{67} +(-10880.9 - 27724.1i) q^{68} +(-2426.55 + 1654.39i) q^{69} +(-44905.9 - 21625.5i) q^{70} +(10581.2 + 9817.94i) q^{71} +(-45568.7 + 6868.38i) q^{72} +(-948.436 + 12656.0i) q^{73} +(4456.68 - 11355.4i) q^{74} +(470.810 + 2062.75i) q^{75} +(700.806 + 9351.61i) q^{76} +(79183.4 + 24424.8i) q^{77} +(1393.51 - 671.078i) q^{78} +(-36278.5 + 62836.2i) q^{79} +(-9395.61 - 16273.7i) q^{80} +(46212.6 + 31507.2i) q^{81} +(-16937.4 + 74207.6i) q^{82} +(10328.1 + 1556.72i) q^{83} +(-3796.53 - 4760.70i) q^{84} -124234. q^{85} +(47455.3 + 13537.1i) q^{86} +5826.27 q^{87} +(52441.0 + 65758.9i) q^{88} +(-93078.7 - 14029.4i) q^{89} +(-13918.4 + 60980.3i) q^{90} +(-28793.2 - 19630.9i) q^{91} +(10927.2 + 18926.5i) q^{92} +(-8557.43 + 14821.9i) q^{93} +(-8101.86 + 3901.65i) q^{94} +(37380.0 + 11530.2i) q^{95} +(-773.462 - 10321.1i) q^{96} +(-19783.5 - 86677.2i) q^{97} +(28804.7 - 73393.2i) q^{98} +(7771.22 - 103700. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.53765 + 3.18211i 0.448597 + 0.562522i 0.953786 0.300486i \(-0.0971489\pi\)
−0.505190 + 0.863008i \(0.668577\pi\)
\(3\) 2.05098 + 0.309135i 0.131570 + 0.0198310i 0.214497 0.976725i \(-0.431189\pi\)
−0.0829270 + 0.996556i \(0.526427\pi\)
\(4\) 3.43451 15.0476i 0.107328 0.470237i
\(5\) −53.1952 36.2679i −0.951584 0.648779i −0.0152481 0.999884i \(-0.504854\pi\)
−0.936336 + 0.351105i \(0.885806\pi\)
\(6\) 4.22095 + 7.31090i 0.0478665 + 0.0829073i
\(7\) 95.1032 164.724i 0.733585 1.27061i −0.221757 0.975102i \(-0.571179\pi\)
0.955342 0.295504i \(-0.0954875\pi\)
\(8\) 173.943 83.7664i 0.960907 0.462748i
\(9\) −228.093 70.3575i −0.938655 0.289537i
\(10\) −19.5823 261.308i −0.0619247 0.826328i
\(11\) 96.9428 + 424.734i 0.241565 + 1.05837i 0.939593 + 0.342295i \(0.111204\pi\)
−0.698028 + 0.716071i \(0.745939\pi\)
\(12\) 11.6958 29.8005i 0.0234465 0.0597407i
\(13\) 13.6916 182.702i 0.0224697 0.299837i −0.974635 0.223799i \(-0.928154\pi\)
0.997105 0.0760377i \(-0.0242269\pi\)
\(14\) 765.507 115.382i 1.04383 0.157332i
\(15\) −97.8904 90.8290i −0.112334 0.104231i
\(16\) 262.965 + 126.637i 0.256802 + 0.123669i
\(17\) 1594.33 1087.00i 1.33800 0.912233i 0.338414 0.940997i \(-0.390110\pi\)
0.999586 + 0.0287647i \(0.00915734\pi\)
\(18\) −354.935 904.359i −0.258207 0.657900i
\(19\) −580.594 + 179.089i −0.368968 + 0.113811i −0.473694 0.880690i \(-0.657080\pi\)
0.104726 + 0.994501i \(0.466603\pi\)
\(20\) −728.443 + 675.896i −0.407212 + 0.377837i
\(21\) 245.976 308.444i 0.121715 0.152626i
\(22\) −1105.54 + 1386.31i −0.486989 + 0.610665i
\(23\) −1037.96 + 963.085i −0.409129 + 0.379616i −0.857717 0.514123i \(-0.828118\pi\)
0.448588 + 0.893739i \(0.351927\pi\)
\(24\) 382.647 118.031i 0.135603 0.0418281i
\(25\) 372.679 + 949.571i 0.119257 + 0.303863i
\(26\) 616.122 420.065i 0.178745 0.121866i
\(27\) −900.167 433.498i −0.237637 0.114440i
\(28\) −2152.06 1996.82i −0.518751 0.481330i
\(29\) 2777.63 418.660i 0.613308 0.0924413i 0.164960 0.986300i \(-0.447251\pi\)
0.448348 + 0.893859i \(0.352012\pi\)
\(30\) 40.6165 541.989i 0.00823947 0.109948i
\(31\) −3014.63 + 7681.14i −0.563416 + 1.43556i 0.311012 + 0.950406i \(0.399332\pi\)
−0.874428 + 0.485155i \(0.838763\pi\)
\(32\) −1110.39 4864.94i −0.191691 0.839852i
\(33\) 67.5272 + 901.088i 0.0107943 + 0.144040i
\(34\) 7504.78 + 2314.92i 1.11337 + 0.343430i
\(35\) −11033.2 + 5313.31i −1.52241 + 0.733154i
\(36\) −1842.10 + 3190.61i −0.236895 + 0.410315i
\(37\) −1498.58 2595.62i −0.179960 0.311701i 0.761906 0.647687i \(-0.224264\pi\)
−0.941867 + 0.335987i \(0.890930\pi\)
\(38\) −2043.22 1393.05i −0.229539 0.156497i
\(39\) 84.5608 370.485i 0.00890241 0.0390040i
\(40\) −12290.9 1852.56i −1.21461 0.183072i
\(41\) 11660.1 + 14621.3i 1.08329 + 1.35840i 0.928875 + 0.370393i \(0.120777\pi\)
0.154413 + 0.988006i \(0.450651\pi\)
\(42\) 1605.70 0.140457
\(43\) 9870.02 7042.10i 0.814042 0.580806i
\(44\) 6724.17 0.523609
\(45\) 9581.75 + 12015.1i 0.705364 + 0.884499i
\(46\) −5698.61 858.927i −0.397077 0.0598497i
\(47\) −491.637 + 2154.00i −0.0324638 + 0.142233i −0.988563 0.150811i \(-0.951811\pi\)
0.956099 + 0.293045i \(0.0946685\pi\)
\(48\) 500.187 + 341.022i 0.0313350 + 0.0213638i
\(49\) −9685.75 16776.2i −0.576293 0.998168i
\(50\) −2075.91 + 3595.58i −0.117431 + 0.203397i
\(51\) 3605.96 1736.54i 0.194131 0.0934887i
\(52\) −2702.20 833.518i −0.138583 0.0427471i
\(53\) −1322.43 17646.7i −0.0646673 0.862925i −0.931364 0.364089i \(-0.881380\pi\)
0.866697 0.498835i \(-0.166239\pi\)
\(54\) −904.869 3964.49i −0.0422281 0.185013i
\(55\) 10247.3 26109.7i 0.456776 1.16385i
\(56\) 2744.21 36618.9i 0.116936 1.56040i
\(57\) −1246.15 + 187.826i −0.0508021 + 0.00765719i
\(58\) 8380.85 + 7776.29i 0.327128 + 0.303531i
\(59\) 41421.6 + 19947.6i 1.54916 + 0.746037i 0.996194 0.0871657i \(-0.0277810\pi\)
0.552968 + 0.833203i \(0.313495\pi\)
\(60\) −1702.96 + 1161.06i −0.0610698 + 0.0416367i
\(61\) −3304.30 8419.22i −0.113699 0.289699i 0.862686 0.505741i \(-0.168781\pi\)
−0.976384 + 0.216041i \(0.930685\pi\)
\(62\) −32092.3 + 9899.15i −1.06028 + 0.327054i
\(63\) −33281.9 + 30881.1i −1.05647 + 0.980261i
\(64\) 18486.3 23181.0i 0.564156 0.707429i
\(65\) −7354.54 + 9222.30i −0.215910 + 0.270742i
\(66\) −2696.00 + 2501.52i −0.0761833 + 0.0706878i
\(67\) 67555.3 20838.1i 1.83854 0.567114i 0.838794 0.544449i \(-0.183261\pi\)
0.999743 0.0226648i \(-0.00721505\pi\)
\(68\) −10880.9 27724.1i −0.285360 0.727085i
\(69\) −2426.55 + 1654.39i −0.0613574 + 0.0418327i
\(70\) −44905.9 21625.5i −1.09536 0.527499i
\(71\) 10581.2 + 9817.94i 0.249109 + 0.231140i 0.794837 0.606823i \(-0.207556\pi\)
−0.545728 + 0.837962i \(0.683747\pi\)
\(72\) −45568.7 + 6868.38i −1.03594 + 0.156143i
\(73\) −948.436 + 12656.0i −0.0208306 + 0.277964i 0.977056 + 0.212983i \(0.0683179\pi\)
−0.997886 + 0.0649815i \(0.979301\pi\)
\(74\) 4456.68 11355.4i 0.0946089 0.241060i
\(75\) 470.810 + 2062.75i 0.00966480 + 0.0423442i
\(76\) 700.806 + 9351.61i 0.0139176 + 0.185717i
\(77\) 79183.4 + 24424.8i 1.52197 + 0.469467i
\(78\) 1393.51 671.078i 0.0259342 0.0124893i
\(79\) −36278.5 + 62836.2i −0.654006 + 1.13277i 0.328136 + 0.944631i \(0.393580\pi\)
−0.982142 + 0.188141i \(0.939754\pi\)
\(80\) −9395.61 16273.7i −0.164135 0.284289i
\(81\) 46212.6 + 31507.2i 0.782615 + 0.533578i
\(82\) −16937.4 + 74207.6i −0.278171 + 1.21875i
\(83\) 10328.1 + 1556.72i 0.164561 + 0.0248036i 0.230806 0.973000i \(-0.425864\pi\)
−0.0662450 + 0.997803i \(0.521102\pi\)
\(84\) −3796.53 4760.70i −0.0587069 0.0736161i
\(85\) −124234. −1.86506
\(86\) 47455.3 + 13537.1i 0.691893 + 0.197369i
\(87\) 5826.27 0.0825263
\(88\) 52441.0 + 65758.9i 0.721878 + 0.905207i
\(89\) −93078.7 14029.4i −1.24559 0.187743i −0.507029 0.861929i \(-0.669256\pi\)
−0.738561 + 0.674186i \(0.764494\pi\)
\(90\) −13918.4 + 60980.3i −0.181126 + 0.793566i
\(91\) −28793.2 19630.9i −0.364491 0.248506i
\(92\) 10927.2 + 18926.5i 0.134598 + 0.233131i
\(93\) −8557.43 + 14821.9i −0.102597 + 0.177704i
\(94\) −8101.86 + 3901.65i −0.0945725 + 0.0455437i
\(95\) 37380.0 + 11530.2i 0.424942 + 0.131077i
\(96\) −773.462 10321.1i −0.00856566 0.114301i
\(97\) −19783.5 86677.2i −0.213488 0.935353i −0.962176 0.272430i \(-0.912173\pi\)
0.748688 0.662923i \(-0.230684\pi\)
\(98\) 28804.7 73393.2i 0.302969 0.771953i
\(99\) 7771.22 103700.i 0.0796895 1.06338i
\(100\) 15568.7 2346.60i 0.155687 0.0234660i
\(101\) −37880.4 35147.9i −0.369497 0.342843i 0.473469 0.880811i \(-0.343002\pi\)
−0.842965 + 0.537968i \(0.819192\pi\)
\(102\) 14676.5 + 7067.83i 0.139676 + 0.0672645i
\(103\) −116732. + 79586.4i −1.08417 + 0.739172i −0.967213 0.253965i \(-0.918265\pi\)
−0.116953 + 0.993137i \(0.537313\pi\)
\(104\) −12922.7 32926.6i −0.117158 0.298513i
\(105\) −24271.4 + 7486.73i −0.214843 + 0.0662703i
\(106\) 52797.7 48989.1i 0.456405 0.423482i
\(107\) 76130.2 95464.2i 0.642832 0.806086i −0.348522 0.937301i \(-0.613316\pi\)
0.991354 + 0.131215i \(0.0418878\pi\)
\(108\) −9614.72 + 12056.5i −0.0793190 + 0.0994629i
\(109\) −70821.9 + 65713.2i −0.570955 + 0.529768i −0.911953 0.410296i \(-0.865426\pi\)
0.340998 + 0.940064i \(0.389235\pi\)
\(110\) 109088. 33649.2i 0.859598 0.265151i
\(111\) −2271.16 5786.83i −0.0174961 0.0445793i
\(112\) 45869.0 31272.9i 0.345521 0.235572i
\(113\) 136597. + 65781.7i 1.00634 + 0.484629i 0.863086 0.505057i \(-0.168528\pi\)
0.143256 + 0.989686i \(0.454243\pi\)
\(114\) −3759.96 3488.73i −0.0270970 0.0251423i
\(115\) 90143.4 13586.9i 0.635608 0.0958025i
\(116\) 3239.97 43234.4i 0.0223561 0.298322i
\(117\) −15977.4 + 40709.8i −0.107905 + 0.274938i
\(118\) 41638.0 + 182428.i 0.275286 + 1.20611i
\(119\) −27428.0 366001.i −0.177552 2.36927i
\(120\) −24635.7 7599.12i −0.156175 0.0481737i
\(121\) −25899.4 + 12472.5i −0.160815 + 0.0774444i
\(122\) 18405.7 31879.7i 0.111958 0.193916i
\(123\) 19394.7 + 33592.6i 0.115590 + 0.200208i
\(124\) 105229. + 71743.8i 0.614583 + 0.419015i
\(125\) −30155.9 + 132122.i −0.172622 + 0.756308i
\(126\) −182725. 27541.3i −1.02535 0.154546i
\(127\) −17592.0 22059.6i −0.0967844 0.121364i 0.731081 0.682291i \(-0.239016\pi\)
−0.827865 + 0.560927i \(0.810445\pi\)
\(128\) −39005.5 −0.210427
\(129\) 22420.1 11392.0i 0.118622 0.0602735i
\(130\) −48009.6 −0.249155
\(131\) −174356. 218636.i −0.887687 1.11312i −0.992933 0.118678i \(-0.962135\pi\)
0.105246 0.994446i \(-0.466437\pi\)
\(132\) 13791.1 + 2078.68i 0.0688913 + 0.0103837i
\(133\) −25716.1 + 112669.i −0.126059 + 0.552303i
\(134\) 237740. + 162089.i 1.14378 + 0.779813i
\(135\) 32162.5 + 55707.1i 0.151885 + 0.263073i
\(136\) 186268. 322626.i 0.863559 1.49573i
\(137\) 147109. 70844.0i 0.669635 0.322479i −0.0679936 0.997686i \(-0.521660\pi\)
0.737629 + 0.675206i \(0.235945\pi\)
\(138\) −11422.2 3523.28i −0.0510566 0.0157489i
\(139\) 3019.29 + 40289.7i 0.0132547 + 0.176871i 0.999902 + 0.0139999i \(0.00445645\pi\)
−0.986647 + 0.162871i \(0.947925\pi\)
\(140\) 42058.8 + 184272.i 0.181358 + 0.794581i
\(141\) −1674.21 + 4265.82i −0.00709190 + 0.0180699i
\(142\) −4390.34 + 58585.0i −0.0182716 + 0.243818i
\(143\) 78927.1 11896.4i 0.322765 0.0486490i
\(144\) −51070.7 47386.7i −0.205242 0.190436i
\(145\) −162940. 78467.9i −0.643589 0.309936i
\(146\) −42679.5 + 29098.4i −0.165706 + 0.112976i
\(147\) −14679.1 37401.8i −0.0560282 0.142758i
\(148\) −44204.7 + 13635.4i −0.165888 + 0.0511696i
\(149\) 30253.6 28071.3i 0.111638 0.103585i −0.622379 0.782716i \(-0.713834\pi\)
0.734017 + 0.679131i \(0.237643\pi\)
\(150\) −5369.16 + 6732.71i −0.0194840 + 0.0244322i
\(151\) −205868. + 258150.i −0.734760 + 0.921360i −0.999072 0.0430773i \(-0.986284\pi\)
0.264312 + 0.964437i \(0.414855\pi\)
\(152\) −85988.3 + 79785.5i −0.301877 + 0.280101i
\(153\) −440134. + 135763.i −1.52005 + 0.468872i
\(154\) 123217. + 313952.i 0.418667 + 1.06675i
\(155\) 438942. 299266.i 1.46750 1.00052i
\(156\) −5284.47 2544.87i −0.0173856 0.00837248i
\(157\) −313666. 291039.i −1.01559 0.942329i −0.0172447 0.999851i \(-0.505489\pi\)
−0.998344 + 0.0575225i \(0.981680\pi\)
\(158\) −292014. + 44014.0i −0.930594 + 0.140265i
\(159\) 2742.92 36601.7i 0.00860439 0.114818i
\(160\) −117374. + 299063.i −0.362468 + 0.923555i
\(161\) 59929.6 + 262569.i 0.182212 + 0.798322i
\(162\) 17011.9 + 227008.i 0.0509289 + 0.679599i
\(163\) −204033. 62935.8i −0.601493 0.185536i −0.0209706 0.999780i \(-0.506676\pi\)
−0.580523 + 0.814244i \(0.697152\pi\)
\(164\) 260063. 125240.i 0.755037 0.363607i
\(165\) 29088.4 50382.6i 0.0831784 0.144069i
\(166\) 21255.5 + 36815.6i 0.0598689 + 0.103696i
\(167\) 133094. + 90741.8i 0.369289 + 0.251777i 0.733718 0.679454i \(-0.237783\pi\)
−0.364429 + 0.931231i \(0.618736\pi\)
\(168\) 16948.5 74256.2i 0.0463295 0.202983i
\(169\) 333953. + 50335.4i 0.899434 + 0.135568i
\(170\) −315261. 395325.i −0.836658 1.04914i
\(171\) 145030. 0.379286
\(172\) −72067.9 172706.i −0.185746 0.445129i
\(173\) −118447. −0.300892 −0.150446 0.988618i \(-0.548071\pi\)
−0.150446 + 0.988618i \(0.548071\pi\)
\(174\) 14785.0 + 18539.8i 0.0370210 + 0.0464229i
\(175\) 191860. + 28918.2i 0.473575 + 0.0713799i
\(176\) −28294.6 + 123967.i −0.0688529 + 0.301664i
\(177\) 78788.2 + 53716.9i 0.189029 + 0.128878i
\(178\) −191558. 331788.i −0.453158 0.784893i
\(179\) −323722. + 560703.i −0.755162 + 1.30798i 0.190132 + 0.981758i \(0.439108\pi\)
−0.945294 + 0.326220i \(0.894225\pi\)
\(180\) 213707. 102916.i 0.491629 0.236756i
\(181\) −450477. 138954.i −1.02206 0.315264i −0.261966 0.965077i \(-0.584371\pi\)
−0.760094 + 0.649813i \(0.774847\pi\)
\(182\) −10599.4 141439.i −0.0237194 0.316513i
\(183\) −4174.37 18289.1i −0.00921431 0.0403705i
\(184\) −99871.1 + 254468.i −0.217468 + 0.554100i
\(185\) −14420.3 + 192425.i −0.0309773 + 0.413364i
\(186\) −68880.6 + 10382.1i −0.145987 + 0.0220040i
\(187\) 616243. + 571790.i 1.28869 + 1.19573i
\(188\) 30723.9 + 14795.9i 0.0633990 + 0.0305313i
\(189\) −157016. + 107052.i −0.319735 + 0.217991i
\(190\) 58166.8 + 148207.i 0.116894 + 0.297840i
\(191\) 850701. 262406.i 1.68730 0.520464i 0.705233 0.708976i \(-0.250842\pi\)
0.982071 + 0.188511i \(0.0603662\pi\)
\(192\) 45080.9 41829.0i 0.0882551 0.0818888i
\(193\) −239838. + 300748.i −0.463474 + 0.581178i −0.957560 0.288236i \(-0.906931\pi\)
0.494086 + 0.869413i \(0.335503\pi\)
\(194\) 225613. 282909.i 0.430387 0.539688i
\(195\) −17934.9 + 16641.2i −0.0337764 + 0.0313399i
\(196\) −285707. + 88129.0i −0.531228 + 0.163862i
\(197\) −112537. 286739.i −0.206600 0.526407i 0.789589 0.613636i \(-0.210294\pi\)
−0.996188 + 0.0872293i \(0.972199\pi\)
\(198\) 349704. 238424.i 0.633925 0.432203i
\(199\) 454843. + 219041.i 0.814196 + 0.392096i 0.794164 0.607703i \(-0.207909\pi\)
0.0200317 + 0.999799i \(0.493623\pi\)
\(200\) 144367. + 133953.i 0.255207 + 0.236798i
\(201\) 144996. 21854.6i 0.253143 0.0381552i
\(202\) 15717.3 209732.i 0.0271018 0.361649i
\(203\) 195198. 497357.i 0.332457 0.847087i
\(204\) −13746.0 60225.1i −0.0231260 0.101322i
\(205\) −89978.0 1.20067e6i −0.149538 1.99545i
\(206\) −549476. 169491.i −0.902154 0.278278i
\(207\) 304511. 146645.i 0.493944 0.237871i
\(208\) 26737.3 46310.4i 0.0428508 0.0742198i
\(209\) −132350. 229237.i −0.209584 0.363010i
\(210\) −85415.7 58235.5i −0.133656 0.0911254i
\(211\) 182102. 797840.i 0.281584 1.23370i −0.614178 0.789167i \(-0.710512\pi\)
0.895762 0.444533i \(-0.146630\pi\)
\(212\) −270081. 40708.2i −0.412719 0.0622075i
\(213\) 18666.8 + 23407.4i 0.0281916 + 0.0353512i
\(214\) 496969. 0.741813
\(215\) −780439. + 16641.5i −1.15144 + 0.0245525i
\(216\) −192890. −0.281304
\(217\) 978565. + 1.22708e6i 1.41072 + 1.76898i
\(218\) −388827. 58606.3i −0.554135 0.0835224i
\(219\) −5857.63 + 25664.0i −0.00825300 + 0.0361587i
\(220\) −357694. 243871.i −0.498258 0.339707i
\(221\) −176767. 306170.i −0.243457 0.421679i
\(222\) 12650.9 21912.0i 0.0172282 0.0298401i
\(223\) 108273. 52141.6i 0.145800 0.0702138i −0.359561 0.933122i \(-0.617073\pi\)
0.505361 + 0.862908i \(0.331359\pi\)
\(224\) −906972. 279764.i −1.20774 0.372539i
\(225\) −18196.2 242811.i −0.0239621 0.319752i
\(226\) 137311. + 601598.i 0.178827 + 0.783493i
\(227\) −23884.1 + 60855.8i −0.0307641 + 0.0783858i −0.945430 0.325824i \(-0.894358\pi\)
0.914666 + 0.404210i \(0.132453\pi\)
\(228\) −1453.57 + 19396.6i −0.00185182 + 0.0247109i
\(229\) −527911. + 79569.8i −0.665230 + 0.100267i −0.472973 0.881077i \(-0.656819\pi\)
−0.192258 + 0.981344i \(0.561581\pi\)
\(230\) 271987. + 252367.i 0.339023 + 0.314567i
\(231\) 154853. + 74573.1i 0.190936 + 0.0919501i
\(232\) 448078. 305495.i 0.546555 0.372635i
\(233\) 393532. + 1.00270e6i 0.474887 + 1.20999i 0.944908 + 0.327337i \(0.106151\pi\)
−0.470021 + 0.882655i \(0.655754\pi\)
\(234\) −170088. + 52465.2i −0.203064 + 0.0626371i
\(235\) 104274. 96751.8i 0.123170 0.114285i
\(236\) 442426. 554784.i 0.517083 0.648402i
\(237\) −93831.2 + 117661.i −0.108512 + 0.136069i
\(238\) 1.09505e6 1.01606e6i 1.25312 1.16272i
\(239\) 164399. 50710.3i 0.186167 0.0574250i −0.200270 0.979741i \(-0.564182\pi\)
0.386437 + 0.922316i \(0.373706\pi\)
\(240\) −14239.4 36281.4i −0.0159575 0.0406590i
\(241\) −947203. + 645792.i −1.05051 + 0.716226i −0.960094 0.279678i \(-0.909772\pi\)
−0.0904169 + 0.995904i \(0.528820\pi\)
\(242\) −105412. 50763.9i −0.115705 0.0557207i
\(243\) 263014. + 244041.i 0.285735 + 0.265123i
\(244\) −138038. + 20805.8i −0.148430 + 0.0223723i
\(245\) −93202.1 + 1.24370e6i −0.0991997 + 1.32373i
\(246\) −57678.3 + 146962.i −0.0607680 + 0.154834i
\(247\) 24770.7 + 108528.i 0.0258343 + 0.113187i
\(248\) 119049. + 1.58860e6i 0.122913 + 1.64016i
\(249\) 20701.5 + 6385.57i 0.0211594 + 0.00652682i
\(250\) −496950. + 239318.i −0.502878 + 0.242173i
\(251\) −324200. + 561530.i −0.324809 + 0.562586i −0.981474 0.191597i \(-0.938633\pi\)
0.656665 + 0.754183i \(0.271967\pi\)
\(252\) 350379. + 606874.i 0.347565 + 0.602001i
\(253\) −509678. 347492.i −0.500604 0.341306i
\(254\) 25553.9 111959.i 0.0248527 0.108887i
\(255\) −254800. 38405.0i −0.245386 0.0369860i
\(256\) −690543. 865913.i −0.658553 0.825799i
\(257\) 337414. 0.318662 0.159331 0.987225i \(-0.449066\pi\)
0.159331 + 0.987225i \(0.449066\pi\)
\(258\) 93145.0 + 42434.3i 0.0871184 + 0.0396888i
\(259\) −570081. −0.528065
\(260\) 113514. + 142342.i 0.104140 + 0.130587i
\(261\) −663014. 99933.2i −0.602450 0.0908048i
\(262\) 253268. 1.10964e6i 0.227944 0.998687i
\(263\) −373558. 254688.i −0.333019 0.227049i 0.385253 0.922811i \(-0.374114\pi\)
−0.718272 + 0.695762i \(0.755067\pi\)
\(264\) 87226.8 + 151081.i 0.0770265 + 0.133414i
\(265\) −569660. + 986679.i −0.498311 + 0.863101i
\(266\) −423785. + 204084.i −0.367232 + 0.176850i
\(267\) −186565. 57547.7i −0.160159 0.0494026i
\(268\) −81542.7 1.08811e6i −0.0693503 0.925415i
\(269\) 505122. + 2.21309e6i 0.425614 + 1.86474i 0.497716 + 0.867340i \(0.334172\pi\)
−0.0721024 + 0.997397i \(0.522971\pi\)
\(270\) −95648.9 + 243710.i −0.0798492 + 0.203453i
\(271\) 44332.2 591572.i 0.0366687 0.489310i −0.948392 0.317101i \(-0.897291\pi\)
0.985060 0.172209i \(-0.0550904\pi\)
\(272\) 556907. 83940.3i 0.456416 0.0687936i
\(273\) −52985.6 49163.5i −0.0430280 0.0399242i
\(274\) 598744. + 288340.i 0.481798 + 0.232022i
\(275\) −367187. + 250344.i −0.292789 + 0.199620i
\(276\) 16560.6 + 42195.7i 0.0130859 + 0.0333423i
\(277\) 1.82785e6 563818.i 1.43134 0.441509i 0.520353 0.853951i \(-0.325800\pi\)
0.910984 + 0.412442i \(0.135324\pi\)
\(278\) −120544. + 111849.i −0.0935479 + 0.0867998i
\(279\) 1.22804e6 1.53992e6i 0.944501 1.18437i
\(280\) −1.47407e6 + 1.84842e6i −1.12363 + 1.40899i
\(281\) −1.68413e6 + 1.56264e6i −1.27236 + 1.18058i −0.298254 + 0.954487i \(0.596404\pi\)
−0.974106 + 0.226091i \(0.927405\pi\)
\(282\) −17822.9 + 5497.62i −0.0133461 + 0.00411673i
\(283\) −100931. 257167.i −0.0749129 0.190875i 0.888512 0.458853i \(-0.151740\pi\)
−0.963425 + 0.267978i \(0.913644\pi\)
\(284\) 184077. 125502.i 0.135427 0.0923324i
\(285\) 73101.0 + 35203.6i 0.0533103 + 0.0256729i
\(286\) 238145. + 220966.i 0.172157 + 0.159739i
\(287\) 3.51740e6 530162.i 2.52067 0.379930i
\(288\) −89012.1 + 1.18778e6i −0.0632365 + 0.843833i
\(289\) 841597. 2.14435e6i 0.592734 1.51026i
\(290\) −163791. 717617.i −0.114366 0.501069i
\(291\) −13780.5 183889.i −0.00953968 0.127298i
\(292\) 187185. + 57738.8i 0.128473 + 0.0396288i
\(293\) −1.92931e6 + 929105.i −1.31290 + 0.632260i −0.953632 0.300974i \(-0.902688\pi\)
−0.359269 + 0.933234i \(0.616974\pi\)
\(294\) 81766.2 141623.i 0.0551703 0.0955577i
\(295\) −1.47997e6 2.56339e6i −0.990145 1.71498i
\(296\) −478094. 325959.i −0.317164 0.216239i
\(297\) 96856.6 424356.i 0.0637145 0.279151i
\(298\) 166099. + 25035.4i 0.108349 + 0.0163310i
\(299\) 161746. + 202823.i 0.104630 + 0.131202i
\(300\) 32656.5 0.0209491
\(301\) −221330. 2.29555e6i −0.140807 1.46040i
\(302\) −1.34388e6 −0.847896
\(303\) −66826.3 83797.5i −0.0418159 0.0524354i
\(304\) −175355. 26430.5i −0.108827 0.0164030i
\(305\) −129574. + 567702.i −0.0797571 + 0.349439i
\(306\) −1.54892e6 1.05603e6i −0.945638 0.644725i
\(307\) 591511. + 1.02453e6i 0.358193 + 0.620408i 0.987659 0.156620i \(-0.0500597\pi\)
−0.629466 + 0.777028i \(0.716726\pi\)
\(308\) 639490. 1.10763e6i 0.384111 0.665301i
\(309\) −264017. + 127144.i −0.157303 + 0.0757529i
\(310\) 2.06618e6 + 637331.i 1.22113 + 0.376670i
\(311\) −51576.1 688235.i −0.0302376 0.403493i −0.991702 0.128562i \(-0.958964\pi\)
0.961464 0.274931i \(-0.0886551\pi\)
\(312\) −16325.5 71526.5i −0.00949465 0.0415988i
\(313\) 1.14638e6 2.92092e6i 0.661403 1.68523i −0.0649347 0.997890i \(-0.520684\pi\)
0.726338 0.687338i \(-0.241221\pi\)
\(314\) 130146. 1.73667e6i 0.0744913 0.994017i
\(315\) 2.89043e6 435662.i 1.64129 0.247385i
\(316\) 820934. + 761715.i 0.462477 + 0.429116i
\(317\) 634382. + 305502.i 0.354571 + 0.170752i 0.602686 0.797978i \(-0.294097\pi\)
−0.248116 + 0.968730i \(0.579811\pi\)
\(318\) 123431. 84153.9i 0.0684474 0.0466666i
\(319\) 447090. + 1.13917e6i 0.245991 + 0.626774i
\(320\) −1.82411e6 + 562662.i −0.995807 + 0.307166i
\(321\) 185652. 172260.i 0.100563 0.0933088i
\(322\) −683442. + 857009.i −0.367335 + 0.460623i
\(323\) −730989. + 916631.i −0.389856 + 0.488864i
\(324\) 632825. 587176.i 0.334905 0.310746i
\(325\) 178591. 55088.1i 0.0937889 0.0289300i
\(326\) −317494. 808963.i −0.165460 0.421584i
\(327\) −165568. + 112883.i −0.0856264 + 0.0583791i
\(328\) 3.25297e6 + 1.56655e6i 1.66954 + 0.804006i
\(329\) 308059. + 285837.i 0.156907 + 0.145589i
\(330\) 234139. 35290.8i 0.118356 0.0178392i
\(331\) −58425.9 + 779640.i −0.0293113 + 0.391133i 0.963183 + 0.268845i \(0.0866420\pi\)
−0.992495 + 0.122287i \(0.960977\pi\)
\(332\) 58896.8 150067.i 0.0293256 0.0747204i
\(333\) 159195. + 697481.i 0.0786720 + 0.344685i
\(334\) 48994.7 + 653789.i 0.0240316 + 0.320680i
\(335\) −4.34937e6 1.34160e6i −2.11745 0.653148i
\(336\) 103744. 49960.3i 0.0501318 0.0241422i
\(337\) −768933. + 1.33183e6i −0.368819 + 0.638814i −0.989381 0.145344i \(-0.953571\pi\)
0.620562 + 0.784157i \(0.286904\pi\)
\(338\) 687283. + 1.19041e6i 0.327223 + 0.566767i
\(339\) 259822. + 177144.i 0.122794 + 0.0837195i
\(340\) −426682. + 1.86942e6i −0.200174 + 0.877018i
\(341\) −3.55469e6 535783.i −1.65545 0.249519i
\(342\) 368034. + 461500.i 0.170146 + 0.213357i
\(343\) −487785. −0.223869
\(344\) 1.12693e6 2.05170e6i 0.513451 0.934797i
\(345\) 189082. 0.0855269
\(346\) −300578. 376912.i −0.134979 0.169258i
\(347\) −334847. 50470.0i −0.149287 0.0225014i 0.0739735 0.997260i \(-0.476432\pi\)
−0.223261 + 0.974759i \(0.571670\pi\)
\(348\) 20010.4 87671.2i 0.00885742 0.0388069i
\(349\) −51521.5 35126.8i −0.0226425 0.0154374i 0.551946 0.833880i \(-0.313885\pi\)
−0.574588 + 0.818442i \(0.694838\pi\)
\(350\) 394851. + 683902.i 0.172291 + 0.298417i
\(351\) −91525.7 + 158527.i −0.0396529 + 0.0686809i
\(352\) 1.95866e6 943242.i 0.842564 0.405758i
\(353\) 2.93403e6 + 905027.i 1.25322 + 0.386567i 0.849145 0.528159i \(-0.177118\pi\)
0.404074 + 0.914726i \(0.367594\pi\)
\(354\) 29003.7 + 387027.i 0.0123011 + 0.164147i
\(355\) −206794. 906025.i −0.0870899 0.381566i
\(356\) −530787. + 1.35242e6i −0.221971 + 0.565572i
\(357\) 56889.5 759138.i 0.0236244 0.315246i
\(358\) −2.60571e6 + 392748.i −1.07453 + 0.161959i
\(359\) 2.08597e6 + 1.93549e6i 0.854223 + 0.792603i 0.979904 0.199467i \(-0.0639212\pi\)
−0.125681 + 0.992071i \(0.540112\pi\)
\(360\) 2.67314e6 + 1.28732e6i 1.08709 + 0.523515i
\(361\) −1.74083e6 + 1.18688e6i −0.703055 + 0.479335i
\(362\) −700986. 1.78608e6i −0.281150 0.716358i
\(363\) −56974.7 + 17574.4i −0.0226942 + 0.00700025i
\(364\) −394288. + 365846.i −0.155977 + 0.144725i
\(365\) 509458. 638840.i 0.200160 0.250992i
\(366\) 47604.8 59694.5i 0.0185758 0.0232934i
\(367\) −1.49502e6 + 1.38717e6i −0.579403 + 0.537608i −0.914505 0.404574i \(-0.867420\pi\)
0.335102 + 0.942182i \(0.391229\pi\)
\(368\) −394909. + 121813.i −0.152012 + 0.0468895i
\(369\) −1.63088e6 4.15541e6i −0.623527 1.58872i
\(370\) −648911. + 442420.i −0.246423 + 0.168008i
\(371\) −3.03259e6 1.46042e6i −1.14388 0.550862i
\(372\) 193643. + 179675.i 0.0725512 + 0.0673177i
\(373\) 3.17300e6 478253.i 1.18086 0.177986i 0.470872 0.882201i \(-0.343939\pi\)
0.709986 + 0.704216i \(0.248701\pi\)
\(374\) −255691. + 3.41195e6i −0.0945226 + 1.26132i
\(375\) −102692. + 261656.i −0.0377103 + 0.0960843i
\(376\) 94916.2 + 415855.i 0.0346235 + 0.151695i
\(377\) −38459.8 513210.i −0.0139365 0.185970i
\(378\) −739101. 227983.i −0.266057 0.0820677i
\(379\) −885231. + 426305.i −0.316562 + 0.152448i −0.585417 0.810733i \(-0.699069\pi\)
0.268855 + 0.963181i \(0.413355\pi\)
\(380\) 301883. 522877.i 0.107246 0.185755i
\(381\) −29261.3 50682.1i −0.0103272 0.0178872i
\(382\) 2.99378e6 + 2.04113e6i 1.04969 + 0.715668i
\(383\) −510701. + 2.23753e6i −0.177897 + 0.779419i 0.804702 + 0.593680i \(0.202325\pi\)
−0.982599 + 0.185740i \(0.940532\pi\)
\(384\) −79999.4 12058.0i −0.0276859 0.00417298i
\(385\) −3.32634e6 4.17109e6i −1.14371 1.43416i
\(386\) −1.56564e6 −0.534838
\(387\) −2.74675e6 + 911827.i −0.932270 + 0.309482i
\(388\) −1.37223e6 −0.462750
\(389\) 851518. + 1.06777e6i 0.285312 + 0.357770i 0.903748 0.428065i \(-0.140805\pi\)
−0.618436 + 0.785835i \(0.712233\pi\)
\(390\) −98466.5 14841.4i −0.0327814 0.00494099i
\(391\) −607979. + 2.66373e6i −0.201116 + 0.881147i
\(392\) −3.09005e6 2.10676e6i −1.01566 0.692468i
\(393\) −290013. 502317.i −0.0947187 0.164058i
\(394\) 626857. 1.08575e6i 0.203436 0.352361i
\(395\) 4.20878e6 2.02684e6i 1.35726 0.653622i
\(396\) −1.53374e6 473096.i −0.491488 0.151604i
\(397\) 404335. + 5.39548e6i 0.128755 + 1.71812i 0.570768 + 0.821112i \(0.306646\pi\)
−0.442012 + 0.897009i \(0.645735\pi\)
\(398\) 457219. + 2.00321e6i 0.144683 + 0.633896i
\(399\) −87573.1 + 223133.i −0.0275384 + 0.0701667i
\(400\) −22249.5 + 296899.i −0.00695297 + 0.0927809i
\(401\) −1.95604e6 + 294825.i −0.607458 + 0.0915596i −0.445566 0.895249i \(-0.646998\pi\)
−0.161892 + 0.986808i \(0.551760\pi\)
\(402\) 437492. + 405934.i 0.135022 + 0.125282i
\(403\) 1.36209e6 + 655946.i 0.417774 + 0.201189i
\(404\) −658990. + 449292.i −0.200875 + 0.136954i
\(405\) −1.31559e6 3.35207e6i −0.398550 1.01549i
\(406\) 2.07799e6 640974.i 0.625644 0.192986i
\(407\) 957174. 888127.i 0.286421 0.265760i
\(408\) 481767. 604117.i 0.143280 0.179668i
\(409\) −1.09816e6 + 1.37705e6i −0.324607 + 0.407044i −0.917180 0.398472i \(-0.869540\pi\)
0.592574 + 0.805516i \(0.298112\pi\)
\(410\) 3.59234e6 3.33320e6i 1.05540 0.979269i
\(411\) 323618. 99822.9i 0.0944991 0.0291491i
\(412\) 796665. + 2.02987e6i 0.231224 + 0.589149i
\(413\) 7.22517e6 4.92604e6i 2.08436 1.42109i
\(414\) 1.23938e6 + 596855.i 0.355389 + 0.171146i
\(415\) −492948. 457389.i −0.140501 0.130366i
\(416\) −904038. + 136262.i −0.256126 + 0.0386047i
\(417\) −6262.45 + 83566.5i −0.00176362 + 0.0235338i
\(418\) 393598. 1.00287e6i 0.110183 0.280740i
\(419\) 932227. + 4.08435e6i 0.259410 + 1.13655i 0.921885 + 0.387465i \(0.126649\pi\)
−0.662475 + 0.749084i \(0.730494\pi\)
\(420\) 29296.8 + 390939.i 0.00810395 + 0.108140i
\(421\) 236985. + 73100.2i 0.0651652 + 0.0201008i 0.327166 0.944967i \(-0.393906\pi\)
−0.262001 + 0.965068i \(0.584382\pi\)
\(422\) 3.00092e6 1.44517e6i 0.820302 0.395036i
\(423\) 263689. 456723.i 0.0716541 0.124109i
\(424\) −1.70823e6 2.95873e6i −0.461456 0.799266i
\(425\) 1.62635e6 + 1.10883e6i 0.436760 + 0.297778i
\(426\) −27115.2 + 118799.i −0.00723916 + 0.0317168i
\(427\) −1.70110e6 256399.i −0.451501 0.0680529i
\(428\) −1.17503e6 1.47345e6i −0.310057 0.388799i
\(429\) 165555. 0.0434310
\(430\) −2.03343e6 2.44121e6i −0.530345 0.636699i
\(431\) 763140. 0.197884 0.0989421 0.995093i \(-0.468454\pi\)
0.0989421 + 0.995093i \(0.468454\pi\)
\(432\) −181816. 227989.i −0.0468729 0.0587767i
\(433\) −6.61958e6 997741.i −1.69672 0.255740i −0.771791 0.635876i \(-0.780639\pi\)
−0.924930 + 0.380136i \(0.875877\pi\)
\(434\) −1.42145e6 + 6.22780e6i −0.362250 + 1.58712i
\(435\) −309929. 211306.i −0.0785307 0.0535413i
\(436\) 745585. + 1.29139e6i 0.187837 + 0.325343i
\(437\) 430154. 745048.i 0.107751 0.186630i
\(438\) −96530.0 + 46486.4i −0.0240424 + 0.0115782i
\(439\) 2.30100e6 + 709765.i 0.569843 + 0.175773i 0.566269 0.824220i \(-0.308386\pi\)
0.00357389 + 0.999994i \(0.498862\pi\)
\(440\) −404672. 5.39998e6i −0.0996487 1.32972i
\(441\) 1.02892e6 + 4.50801e6i 0.251934 + 1.10379i
\(442\) 525693. 1.33944e6i 0.127990 0.326114i
\(443\) 280329. 3.74073e6i 0.0678671 0.905623i −0.854535 0.519393i \(-0.826158\pi\)
0.922402 0.386230i \(-0.126223\pi\)
\(444\) −94878.0 + 14300.6i −0.0228406 + 0.00344267i
\(445\) 4.44252e6 + 4.12206e6i 1.06348 + 0.986766i
\(446\) 440679. + 212220.i 0.104902 + 0.0505184i
\(447\) 70727.3 48221.1i 0.0167424 0.0114148i
\(448\) −2.06036e6 5.24972e6i −0.485007 1.23578i
\(449\) 2.50333e6 772177.i 0.586007 0.180759i 0.0124469 0.999923i \(-0.496038\pi\)
0.573561 + 0.819163i \(0.305562\pi\)
\(450\) 726476. 674072.i 0.169118 0.156919i
\(451\) −5.07982e6 + 6.36989e6i −1.17600 + 1.47466i
\(452\) 1.45900e6 1.82953e6i 0.335899 0.421204i
\(453\) −502032. + 465818.i −0.114944 + 0.106652i
\(454\) −254259. + 78428.5i −0.0578944 + 0.0178581i
\(455\) 819691. + 2.08854e6i 0.185619 + 0.472949i
\(456\) −201025. + 137056.i −0.0452728 + 0.0308664i
\(457\) 4.30327e6 + 2.07235e6i 0.963847 + 0.464164i 0.848520 0.529163i \(-0.177494\pi\)
0.115327 + 0.993328i \(0.463208\pi\)
\(458\) −1.59285e6 1.47795e6i −0.354823 0.329227i
\(459\) −1.90637e6 + 287340.i −0.422354 + 0.0636596i
\(460\) 105148. 1.40310e6i 0.0231690 0.309168i
\(461\) 668261. 1.70270e6i 0.146452 0.373153i −0.838758 0.544504i \(-0.816718\pi\)
0.985210 + 0.171351i \(0.0548133\pi\)
\(462\) 155662. + 681998.i 0.0339294 + 0.148654i
\(463\) −586758. 7.82974e6i −0.127206 1.69744i −0.587137 0.809488i \(-0.699745\pi\)
0.459931 0.887955i \(-0.347874\pi\)
\(464\) 783437. + 241658.i 0.168931 + 0.0521083i
\(465\) 992773. 478094.i 0.212921 0.102537i
\(466\) −2.19206e6 + 3.79677e6i −0.467615 + 0.809933i
\(467\) −510610. 884403.i −0.108342 0.187654i 0.806757 0.590884i \(-0.201221\pi\)
−0.915099 + 0.403230i \(0.867888\pi\)
\(468\) 557709. + 380240.i 0.117704 + 0.0802496i
\(469\) 2.99221e6 1.31097e7i 0.628145 2.75208i
\(470\) 572484. + 86288.1i 0.119542 + 0.0180180i
\(471\) −553350. 693880.i −0.114934 0.144123i
\(472\) 8.87592e6 1.83383
\(473\) 3.94785e6 + 3.50945e6i 0.811349 + 0.721251i
\(474\) −612519. −0.125220
\(475\) −386433. 484572.i −0.0785851 0.0985426i
\(476\) −5.60162e6 844309.i −1.13317 0.170799i
\(477\) −939936. + 4.11813e6i −0.189148 + 0.828713i
\(478\) 578551. + 394450.i 0.115817 + 0.0789627i
\(479\) −3.21424e6 5.56723e6i −0.640088 1.10867i −0.985413 0.170182i \(-0.945564\pi\)
0.345325 0.938483i \(-0.387769\pi\)
\(480\) −333181. + 577087.i −0.0660051 + 0.114324i
\(481\) −494744. + 238256.i −0.0975030 + 0.0469550i
\(482\) −4.45865e6 1.37531e6i −0.874149 0.269639i
\(483\) 41745.0 + 557048.i 0.00814211 + 0.108649i
\(484\) 98729.0 + 432560.i 0.0191572 + 0.0839330i
\(485\) −2.09121e6 + 5.32831e6i −0.403685 + 1.02857i
\(486\) −109129. + 1.45623e6i −0.0209580 + 0.279666i
\(487\) −3.12373e6 + 470826.i −0.596830 + 0.0899577i −0.440508 0.897749i \(-0.645202\pi\)
−0.156322 + 0.987706i \(0.549964\pi\)
\(488\) −1.28001e6 1.18767e6i −0.243312 0.225760i
\(489\) −399011. 192153.i −0.0754592 0.0363392i
\(490\) −4.19409e6 + 2.85948e6i −0.789127 + 0.538018i
\(491\) −1.20623e6 3.07343e6i −0.225802 0.575334i 0.772409 0.635125i \(-0.219052\pi\)
−0.998211 + 0.0597917i \(0.980956\pi\)
\(492\) 572098. 176469.i 0.106551 0.0328666i
\(493\) 3.97337e6 3.68675e6i 0.736278 0.683166i
\(494\) −282487. + 354228.i −0.0520813 + 0.0653079i
\(495\) −4.17436e6 + 5.23448e6i −0.765732 + 0.960197i
\(496\) −1.76546e6 + 1.63811e6i −0.322221 + 0.298977i
\(497\) 2.62355e6 809259.i 0.476430 0.146959i
\(498\) 32213.5 + 82078.7i 0.00582056 + 0.0148306i
\(499\) 3.88269e6 2.64717e6i 0.698041 0.475917i −0.161572 0.986861i \(-0.551657\pi\)
0.859614 + 0.510944i \(0.170704\pi\)
\(500\) 1.88454e6 + 907546.i 0.337116 + 0.162347i
\(501\) 244921. + 227253.i 0.0435944 + 0.0404497i
\(502\) −2.60955e6 + 393327.i −0.462175 + 0.0696617i
\(503\) −616634. + 8.22841e6i −0.108669 + 1.45009i 0.630298 + 0.776353i \(0.282933\pi\)
−0.738968 + 0.673741i \(0.764687\pi\)
\(504\) −3.20235e6 + 8.15946e6i −0.561555 + 1.43082i
\(505\) 740316. + 3.24354e6i 0.129178 + 0.565966i
\(506\) −187623. 2.50366e6i −0.0325770 0.434710i
\(507\) 669370. + 206473.i 0.115650 + 0.0356734i
\(508\) −392364. + 188952.i −0.0674574 + 0.0324858i
\(509\) −3.64160e6 + 6.30743e6i −0.623014 + 1.07909i 0.365908 + 0.930651i \(0.380759\pi\)
−0.988921 + 0.148440i \(0.952575\pi\)
\(510\) −524384. 908260.i −0.0892739 0.154627i
\(511\) 1.99454e6 + 1.35986e6i 0.337902 + 0.230378i
\(512\) 725330. 3.17788e6i 0.122281 0.535750i
\(513\) 600266. + 90475.6i 0.100705 + 0.0151788i
\(514\) 856236. + 1.07369e6i 0.142951 + 0.179254i
\(515\) 9.09600e6 1.51124
\(516\) −94420.0 376494.i −0.0156113 0.0622493i
\(517\) −962539. −0.158377
\(518\) −1.44666e6 1.81406e6i −0.236888 0.297048i
\(519\) −242933. 36616.2i −0.0395884 0.00596699i
\(520\) −506750. + 2.22022e6i −0.0821836 + 0.360070i
\(521\) 2.38128e6 + 1.62353e6i 0.384340 + 0.262039i 0.740042 0.672561i \(-0.234806\pi\)
−0.355702 + 0.934600i \(0.615758\pi\)
\(522\) −1.36450e6 2.36338e6i −0.219177 0.379626i
\(523\) −2.25352e6 + 3.90322e6i −0.360253 + 0.623977i −0.988002 0.154439i \(-0.950643\pi\)
0.627749 + 0.778416i \(0.283976\pi\)
\(524\) −3.88877e6 + 1.87273e6i −0.618706 + 0.297953i
\(525\) 384560. + 118621.i 0.0608928 + 0.0187829i
\(526\) −137515. 1.83501e6i −0.0216713 0.289184i
\(527\) 3.54306e6 + 1.55232e7i 0.555715 + 2.43475i
\(528\) −96354.1 + 245506.i −0.0150413 + 0.0383246i
\(529\) −331163. + 4.41906e6i −0.0514520 + 0.686580i
\(530\) −4.58531e6 + 691125.i −0.709054 + 0.106873i
\(531\) −8.04452e6 7.46423e6i −1.23812 1.14881i
\(532\) 1.60708e6 + 773929.i 0.246183 + 0.118556i
\(533\) 2.83100e6 1.93014e6i 0.431639 0.294287i
\(534\) −290313. 739706.i −0.0440569 0.112255i
\(535\) −7.51204e6 + 2.31716e6i −1.13468 + 0.350003i
\(536\) 1.00052e7 9.28349e6i 1.50423 1.39572i
\(537\) −837279. + 1.04991e6i −0.125295 + 0.157115i
\(538\) −5.76045e6 + 7.22338e6i −0.858027 + 1.07593i
\(539\) 6.18647e6 5.74021e6i 0.917215 0.851051i
\(540\) 948719. 292641.i 0.140008 0.0431868i
\(541\) −1.35035e6 3.44064e6i −0.198360 0.505413i 0.796736 0.604327i \(-0.206558\pi\)
−0.995096 + 0.0989149i \(0.968463\pi\)
\(542\) 1.99494e6 1.36013e6i 0.291697 0.198876i
\(543\) −880963. 424249.i −0.128221 0.0617478i
\(544\) −7.05850e6 6.54933e6i −1.02262 0.948855i
\(545\) 6.15066e6 927063.i 0.887014 0.133696i
\(546\) 21984.7 293365.i 0.00315601 0.0421141i
\(547\) −505322. + 1.28754e6i −0.0722104 + 0.183989i −0.962422 0.271558i \(-0.912461\pi\)
0.890212 + 0.455547i \(0.150556\pi\)
\(548\) −560783. 2.45695e6i −0.0797707 0.349498i
\(549\) 161334. + 2.15285e6i 0.0228452 + 0.304848i
\(550\) −1.72841e6 533144.i −0.243635 0.0751515i
\(551\) −1.53769e6 + 740515.i −0.215770 + 0.103909i
\(552\) −283498. + 491033.i −0.0396007 + 0.0685904i
\(553\) 6.90041e6 + 1.19519e7i 0.959538 + 1.66197i
\(554\) 6.43257e6 + 4.38565e6i 0.890451 + 0.607100i
\(555\) −89061.0 + 390202.i −0.0122731 + 0.0537720i
\(556\) 616632. + 92942.3i 0.0845939 + 0.0127505i
\(557\) −7.19312e6 9.01988e6i −0.982379 1.23186i −0.972737 0.231911i \(-0.925502\pi\)
−0.00964229 0.999954i \(-0.503069\pi\)
\(558\) 8.01651e6 1.08993
\(559\) −1.15147e6 1.89969e6i −0.155856 0.257130i
\(560\) −3.57421e6 −0.481626
\(561\) 1.08714e6 + 1.36323e6i 0.145841 + 0.182878i
\(562\) −9.24623e6 1.39365e6i −1.23488 0.186128i
\(563\) −398666. + 1.74667e6i −0.0530076 + 0.232242i −0.994492 0.104816i \(-0.966575\pi\)
0.941484 + 0.337058i \(0.109432\pi\)
\(564\) 58440.2 + 39843.8i 0.00773595 + 0.00527428i
\(565\) −4.88055e6 8.45336e6i −0.643202 1.11406i
\(566\) 562206. 973770.i 0.0737657 0.127766i
\(567\) 9.58495e6 4.61587e6i 1.25208 0.602970i
\(568\) 2.66294e6 + 821408.i 0.346330 + 0.106829i
\(569\) −600612. 8.01462e6i −0.0777703 1.03777i −0.890456 0.455070i \(-0.849614\pi\)
0.812686 0.582702i \(-0.198005\pi\)
\(570\) 73482.9 + 321950.i 0.00947325 + 0.0415050i
\(571\) 3.75804e6 9.57534e6i 0.482360 1.22903i −0.458030 0.888937i \(-0.651445\pi\)
0.940390 0.340097i \(-0.110460\pi\)
\(572\) 92064.8 1.22852e6i 0.0117653 0.156997i
\(573\) 1.82589e6 275208.i 0.232320 0.0350166i
\(574\) 1.06129e7 + 9.84737e6i 1.34449 + 1.24750i
\(575\) −1.30134e6 626693.i −0.164143 0.0790470i
\(576\) −5.84755e6 + 3.98679e6i −0.734375 + 0.500688i
\(577\) −2.23435e6 5.69304e6i −0.279391 0.711877i −0.999831 0.0183599i \(-0.994156\pi\)
0.720440 0.693517i \(-0.243940\pi\)
\(578\) 8.95924e6 2.76356e6i 1.11545 0.344072i
\(579\) −584874. + 542684.i −0.0725046 + 0.0672745i
\(580\) −1.74037e6 + 2.18236e6i −0.214819 + 0.269374i
\(581\) 1.23867e6 1.55324e6i 0.152235 0.190896i
\(582\) 550183. 510495.i 0.0673286 0.0624718i
\(583\) 7.36694e6 2.27240e6i 0.897668 0.276894i
\(584\) 895174. + 2.28087e6i 0.108611 + 0.276737i
\(585\) 2.32638e6 1.58610e6i 0.281055 0.191620i
\(586\) −7.85240e6 3.78152e6i −0.944623 0.454907i
\(587\) 4.03856e6 + 3.74724e6i 0.483762 + 0.448865i 0.883959 0.467564i \(-0.154868\pi\)
−0.400198 + 0.916429i \(0.631059\pi\)
\(588\) −613222. + 92428.4i −0.0731433 + 0.0110246i
\(589\) 374661. 4.99951e6i 0.0444990 0.593799i
\(590\) 4.40133e6 1.12144e7i 0.520540 1.32631i
\(591\) −142169. 622885.i −0.0167432 0.0733566i
\(592\) −65372.5 872335.i −0.00766639 0.102301i
\(593\) −8.61532e6 2.65748e6i −1.00609 0.310336i −0.252437 0.967613i \(-0.581232\pi\)
−0.753649 + 0.657277i \(0.771708\pi\)
\(594\) 1.59614e6 768658.i 0.185611 0.0893855i
\(595\) −1.18150e7 + 2.04642e7i −1.36818 + 2.36975i
\(596\) −318498. 551655.i −0.0367275 0.0636139i
\(597\) 865159. + 589855.i 0.0993482 + 0.0677345i
\(598\) −234951. + 1.02939e6i −0.0268673 + 0.117713i
\(599\) −4.33754e6 653779.i −0.493942 0.0744498i −0.102652 0.994717i \(-0.532733\pi\)
−0.391290 + 0.920267i \(0.627971\pi\)
\(600\) 254684. + 319363.i 0.0288817 + 0.0362165i
\(601\) 1.05235e7 1.18843 0.594217 0.804305i \(-0.297462\pi\)
0.594217 + 0.804305i \(0.297462\pi\)
\(602\) 6.74303e6 6.52959e6i 0.758340 0.734336i
\(603\) −1.68750e7 −1.88995
\(604\) 3.17747e6 + 3.98442e6i 0.354397 + 0.444399i
\(605\) 1.83007e6 + 275839.i 0.203273 + 0.0306385i
\(606\) 97071.3 425297.i 0.0107376 0.0470447i
\(607\) −1.19586e7 8.15325e6i −1.31738 0.898171i −0.318612 0.947885i \(-0.603217\pi\)
−0.998763 + 0.0497140i \(0.984169\pi\)
\(608\) 1.51595e6 + 2.62569e6i 0.166312 + 0.288061i
\(609\) 554097. 959724.i 0.0605400 0.104858i
\(610\) −2.13530e6 + 1.02831e6i −0.232346 + 0.111892i
\(611\) 386809. + 119315.i 0.0419173 + 0.0129298i
\(612\) 531265. + 7.08923e6i 0.0573367 + 0.765104i
\(613\) −3.83989e6 1.68237e7i −0.412732 1.80830i −0.571058 0.820910i \(-0.693467\pi\)
0.158326 0.987387i \(-0.449390\pi\)
\(614\) −1.75911e6 + 4.48214e6i −0.188309 + 0.479805i
\(615\) 186627. 2.49037e6i 0.0198970 0.265507i
\(616\) 1.58193e7 2.38438e6i 1.67972 0.253177i
\(617\) −7.31553e6 6.78782e6i −0.773630 0.717824i 0.190954 0.981599i \(-0.438842\pi\)
−0.964584 + 0.263775i \(0.915032\pi\)
\(618\) −1.07457e6 517484.i −0.113178 0.0545037i
\(619\) 1.18308e7 8.06608e6i 1.24104 0.846127i 0.248571 0.968614i \(-0.420039\pi\)
0.992470 + 0.122486i \(0.0390868\pi\)
\(620\) −2.99567e6 7.63284e6i −0.312979 0.797457i
\(621\) 1.35183e6 416985.i 0.140667 0.0433901i
\(622\) 2.05916e6 1.91062e6i 0.213409 0.198015i
\(623\) −1.11631e7 + 1.39980e7i −1.15229 + 1.44493i
\(624\) 69153.7 86716.0i 0.00710975 0.00891534i
\(625\) 8.73271e6 8.10277e6i 0.894230 0.829724i
\(626\) 1.22038e7 3.76436e6i 1.24468 0.383933i
\(627\) −200581. 511073.i −0.0203761 0.0519175i
\(628\) −5.45672e6 + 3.72033e6i −0.552119 + 0.376428i
\(629\) −5.21067e6 2.50933e6i −0.525130 0.252889i
\(630\) 8.72122e6 + 8.09211e6i 0.875439 + 0.812288i
\(631\) 9.35914e6 1.41066e6i 0.935756 0.141042i 0.336575 0.941657i \(-0.390731\pi\)
0.599180 + 0.800614i \(0.295493\pi\)
\(632\) −1.04682e6 + 1.39688e7i −0.104251 + 1.39113i
\(633\) 620126. 1.58006e6i 0.0615136 0.156734i
\(634\) 637696. + 2.79393e6i 0.0630073 + 0.276053i
\(635\) 135752. + 1.81149e6i 0.0133602 + 0.178280i
\(636\) −541346. 166983.i −0.0530679 0.0163693i
\(637\) −3.19766e6 + 1.53991e6i −0.312237 + 0.150365i
\(638\) −2.49040e6 + 4.31349e6i −0.242224 + 0.419544i
\(639\) −1.72274e6 2.98387e6i −0.166904 0.289087i
\(640\) 2.07491e6 + 1.41465e6i 0.200239 + 0.136521i
\(641\) −3.92418e6 + 1.71930e7i −0.377228 + 1.65275i 0.328679 + 0.944442i \(0.393397\pi\)
−0.705908 + 0.708304i \(0.749461\pi\)
\(642\) 1.01927e6 + 153630.i 0.0976005 + 0.0147109i
\(643\) −1.21633e6 1.52524e6i −0.116018 0.145482i 0.720431 0.693526i \(-0.243944\pi\)
−0.836449 + 0.548044i \(0.815372\pi\)
\(644\) 4.15685e6 0.394957
\(645\) −1.60581e6 207130.i −0.151983 0.0196039i
\(646\) −4.77181e6 −0.449885
\(647\) −2.55345e6 3.20192e6i −0.239809 0.300711i 0.647333 0.762207i \(-0.275884\pi\)
−0.887142 + 0.461496i \(0.847313\pi\)
\(648\) 1.06776e7 + 1.60939e6i 0.998932 + 0.150565i
\(649\) −4.45690e6 + 1.95269e7i −0.415356 + 1.81980i
\(650\) 628497. + 428502.i 0.0583472 + 0.0397804i
\(651\) 1.62768e6 + 2.81922e6i 0.150528 + 0.260722i
\(652\) −1.64778e6 + 2.85404e6i −0.151803 + 0.262931i
\(653\) −1.09838e7 + 5.28950e6i −1.00802 + 0.485436i −0.863652 0.504089i \(-0.831828\pi\)
−0.144366 + 0.989524i \(0.546114\pi\)
\(654\) −779358. 240400.i −0.0712513 0.0219781i
\(655\) 1.34546e6 + 1.79539e7i 0.122537 + 1.63514i
\(656\) 1.21460e6 + 5.32151e6i 0.110198 + 0.482809i
\(657\) 1.10678e6 2.82002e6i 0.100034 0.254882i
\(658\) −127819. + 1.70563e6i −0.0115088 + 0.153575i
\(659\) −5.87166e6 + 885011.i −0.526681 + 0.0793844i −0.407000 0.913428i \(-0.633425\pi\)
−0.119681 + 0.992812i \(0.538187\pi\)
\(660\) −658232. 610750.i −0.0588192 0.0545762i
\(661\) 4.06634e6 + 1.95825e6i 0.361993 + 0.174327i 0.606035 0.795438i \(-0.292759\pi\)
−0.244042 + 0.969765i \(0.578473\pi\)
\(662\) −2.62916e6 + 1.79253e6i −0.233170 + 0.158972i
\(663\) −267898. 682593.i −0.0236693 0.0603084i
\(664\) 1.92690e6 594371.i 0.169605 0.0523163i
\(665\) 5.45425e6 5.06081e6i 0.478279 0.443778i
\(666\) −1.81548e6 + 2.27654e6i −0.158601 + 0.198879i
\(667\) −2.47986e6 + 3.10964e6i −0.215830 + 0.270642i
\(668\) 1.82256e6 1.69108e6i 0.158030 0.146630i
\(669\) 238185. 73470.2i 0.0205754 0.00634667i
\(670\) −6.76803e6 1.72447e7i −0.582473 1.48412i
\(671\) 3.25561e6 2.21963e6i 0.279142 0.190316i
\(672\) −1.77369e6 854166.i −0.151515 0.0729658i
\(673\) 1.01273e7 + 9.39672e6i 0.861895 + 0.799722i 0.981171 0.193140i \(-0.0618670\pi\)
−0.119276 + 0.992861i \(0.538057\pi\)
\(674\) −6.18930e6 + 932888.i −0.524798 + 0.0791006i
\(675\) 76163.2 1.01633e6i 0.00643407 0.0858567i
\(676\) 1.90439e6 4.85231e6i 0.160284 0.408396i
\(677\) −1.94023e6 8.50069e6i −0.162697 0.712824i −0.988793 0.149294i \(-0.952300\pi\)
0.826095 0.563530i \(-0.190557\pi\)
\(678\) 95646.2 + 1.27631e6i 0.00799086 + 0.106631i
\(679\) −1.61593e7 4.98447e6i −1.34508 0.414901i
\(680\) −2.16095e7 + 1.04066e7i −1.79215 + 0.863052i
\(681\) −67798.4 + 117430.i −0.00560211 + 0.00970314i
\(682\) −7.31563e6 1.26710e7i −0.602269 1.04316i
\(683\) 7.93523e6 + 5.41015e6i 0.650890 + 0.443770i 0.843226 0.537560i \(-0.180654\pi\)
−0.192335 + 0.981329i \(0.561606\pi\)
\(684\) 498106. 2.18235e6i 0.0407082 0.178354i
\(685\) −1.03949e7 1.56677e6i −0.846432 0.127579i
\(686\) −1.23783e6 1.55219e6i −0.100427 0.125931i
\(687\) −1.10733e6 −0.0895129
\(688\) 3.48726e6 601915.i 0.280875 0.0484801i
\(689\) −3.24219e6 −0.260190
\(690\) 479823. + 601680.i 0.0383671 + 0.0481108i
\(691\) −5.00179e6 753899.i −0.398502 0.0600645i −0.0532658 0.998580i \(-0.516963\pi\)
−0.345236 + 0.938516i \(0.612201\pi\)
\(692\) −406809. + 1.78235e6i −0.0322942 + 0.141490i
\(693\) −1.63427e7 1.11423e7i −1.29268 0.881335i
\(694\) −689121. 1.19359e6i −0.0543121 0.0940714i
\(695\) 1.30061e6 2.25272e6i 0.102137 0.176907i
\(696\) 1.01344e6 488045.i 0.0793001 0.0381889i
\(697\) 3.44834e7 + 1.06367e7i 2.68862 + 0.829328i
\(698\) −18966.2 253086.i −0.00147347 0.0196621i
\(699\) 497154. + 2.17817e6i 0.0384856 + 0.168616i
\(700\) 1.09409e6 2.78770e6i 0.0843935 0.215031i
\(701\) −23518.0 + 313826.i −0.00180761 + 0.0241209i −0.998035 0.0626642i \(-0.980040\pi\)
0.996227 + 0.0867851i \(0.0276593\pi\)
\(702\) −736710. + 111041.i −0.0564227 + 0.00850435i
\(703\) 1.33492e6 + 1.23862e6i 0.101875 + 0.0945258i
\(704\) 1.16379e7 + 5.60451e6i 0.884999 + 0.426193i
\(705\) 243772. 166201.i 0.0184719 0.0125939i
\(706\) 4.56562e6 + 1.16330e7i 0.344737 + 0.878377i
\(707\) −9.39223e6 + 2.89712e6i −0.706676 + 0.217981i
\(708\) 1.07891e6 1.00108e6i 0.0808912 0.0750560i
\(709\) 1.58527e7 1.98787e7i 1.18437 1.48516i 0.347566 0.937656i \(-0.387008\pi\)
0.836806 0.547500i \(-0.184420\pi\)
\(710\) 2.35830e6 2.95721e6i 0.175571 0.220159i
\(711\) 1.26959e7 1.17801e7i 0.941866 0.873923i
\(712\) −1.73655e7 + 5.35656e6i −1.28377 + 0.395992i
\(713\) −4.26853e6 1.08760e7i −0.314452 0.801211i
\(714\) 2.56002e6 1.74539e6i 0.187931 0.128129i
\(715\) −4.63000e6 2.22969e6i −0.338700 0.163110i
\(716\) 7.32540e6 + 6.79697e6i 0.534009 + 0.495488i
\(717\) 352854. 53184.2i 0.0256329 0.00386353i
\(718\) −865506. + 1.15494e7i −0.0626554 + 0.836079i
\(719\) −5.14560e6 + 1.31108e7i −0.371205 + 0.945815i 0.616198 + 0.787591i \(0.288672\pi\)
−0.987403 + 0.158224i \(0.949423\pi\)
\(720\) 998101. + 4.37297e6i 0.0717535 + 0.314373i
\(721\) 2.00819e6 + 2.67974e7i 0.143869 + 1.91979i
\(722\) −8.19440e6 2.52764e6i −0.585024 0.180456i
\(723\) −2.14233e6 + 1.03169e6i −0.152419 + 0.0734013i
\(724\) −3.63809e6 + 6.30135e6i −0.257945 + 0.446773i
\(725\) 1.43271e6 + 2.48153e6i 0.101231 + 0.175337i
\(726\) −200505. 136702.i −0.0141184 0.00962573i
\(727\) 4.60209e6 2.01631e7i 0.322938 1.41489i −0.509358 0.860555i \(-0.670117\pi\)
0.832297 0.554331i \(-0.187026\pi\)
\(728\) −6.65278e6 1.00275e6i −0.465238 0.0701233i
\(729\) −8.01005e6 1.00443e7i −0.558234 0.700003i
\(730\) 3.32568e6 0.230980
\(731\) 8.08133e6 2.19561e7i 0.559358 1.51971i
\(732\) −289543. −0.0199727
\(733\) −1.47521e7 1.84985e7i −1.01413 1.27168i −0.962004 0.273036i \(-0.911972\pi\)
−0.0521245 0.998641i \(-0.516599\pi\)
\(734\) −8.20795e6 1.23715e6i −0.562335 0.0847583i
\(735\) −575625. + 2.52198e6i −0.0393026 + 0.172196i
\(736\) 5.83789e6 + 3.98020e6i 0.397248 + 0.270839i
\(737\) 1.53996e7 + 2.66730e7i 1.04434 + 1.80885i
\(738\) 9.08436e6 1.57346e7i 0.613979 1.06344i
\(739\) 7.53105e6 3.62676e6i 0.507276 0.244291i −0.162698 0.986676i \(-0.552020\pi\)
0.669974 + 0.742385i \(0.266305\pi\)
\(740\) 2.84600e6 + 877876.i 0.191054 + 0.0589324i
\(741\) 17254.5 + 230245.i 0.00115440 + 0.0154044i
\(742\) −3.04843e6 1.33561e7i −0.203267 0.890571i
\(743\) −4.77887e6 + 1.21764e7i −0.317580 + 0.809181i 0.679561 + 0.733619i \(0.262170\pi\)
−0.997141 + 0.0755617i \(0.975925\pi\)
\(744\) −246925. + 3.29499e6i −0.0163543 + 0.218234i
\(745\) −2.62743e6 + 396022.i −0.173437 + 0.0261414i
\(746\) 9.57380e6 + 8.88319e6i 0.629850 + 0.584415i
\(747\) −2.24625e6 1.08174e6i −0.147284 0.0709284i
\(748\) 1.07206e7 7.30915e6i 0.700589 0.477653i
\(749\) −8.48499e6 2.16194e7i −0.552646 1.40812i
\(750\) −1.09321e6 + 337212.i −0.0709663 + 0.0218902i
\(751\) 1.04997e7 9.74231e6i 0.679325 0.630321i −0.263089 0.964772i \(-0.584741\pi\)
0.942413 + 0.334450i \(0.108551\pi\)
\(752\) −402060. + 504167.i −0.0259266 + 0.0325110i
\(753\) −838514. + 1.05146e6i −0.0538918 + 0.0675782i
\(754\) 1.53549e6 1.42473e6i