Properties

Label 43.6.g.a.24.11
Level 43
Weight 6
Character 43.24
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 24.11
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.11

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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 −0.505190 0.863008i \(-0.668577\pi\)
0.953786 + 0.300486i \(0.0971489\pi\)
\(3\) 2.05098 0.309135i 0.131570 0.0198310i −0.0829270 0.996556i \(-0.526427\pi\)
0.214497 + 0.976725i \(0.431189\pi\)
\(4\) 3.43451 + 15.0476i 0.107328 + 0.470237i
\(5\) −53.1952 + 36.2679i −0.951584 + 0.648779i −0.936336 0.351105i \(-0.885806\pi\)
−0.0152481 + 0.999884i \(0.504854\pi\)
\(6\) 4.22095 7.31090i 0.0478665 0.0829073i
\(7\) 95.1032 + 164.724i 0.733585 + 1.27061i 0.955342 + 0.295504i \(0.0954875\pi\)
−0.221757 + 0.975102i \(0.571179\pi\)
\(8\) 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 −0.698028 0.716071i \(-0.745939\pi\)
0.939593 0.342295i \(-0.111204\pi\)
\(12\) 11.6958 + 29.8005i 0.0234465 + 0.0597407i
\(13\) 13.6916 + 182.702i 0.0224697 + 0.299837i 0.997105 + 0.0760377i \(0.0242269\pi\)
−0.974635 + 0.223799i \(0.928154\pi\)
\(14\) 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 0.999586 0.0287647i \(-0.00915734\pi\)
0.338414 + 0.940997i \(0.390110\pi\)
\(18\) −354.935 + 904.359i −0.258207 + 0.657900i
\(19\) −580.594 179.089i −0.368968 0.113811i 0.104726 0.994501i \(-0.466603\pi\)
−0.473694 + 0.880690i \(0.657080\pi\)
\(20\) −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 0.448588 0.893739i \(-0.351927\pi\)
−0.857717 + 0.514123i \(0.828118\pi\)
\(24\) 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 0.448348 0.893859i \(-0.352012\pi\)
0.164960 + 0.986300i \(0.447251\pi\)
\(30\) 40.6165 + 541.989i 0.00823947 + 0.109948i
\(31\) −3014.63 7681.14i −0.563416 1.43556i −0.874428 0.485155i \(-0.838763\pi\)
0.311012 0.950406i \(-0.399332\pi\)
\(32\) −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 −0.941867 0.335987i \(-0.890930\pi\)
0.761906 + 0.647687i \(0.224264\pi\)
\(38\) −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 0.154413 0.988006i \(-0.450651\pi\)
0.928875 0.370393i \(-0.120777\pi\)
\(42\) 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 0.956099 0.293045i \(-0.0946685\pi\)
−0.988563 + 0.150811i \(0.951811\pi\)
\(48\) 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 0.866697 + 0.498835i \(0.166239\pi\)
−0.931364 + 0.364089i \(0.881380\pi\)
\(54\) −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 0.552968 0.833203i \(-0.313495\pi\)
0.996194 + 0.0871657i \(0.0277810\pi\)
\(60\) −1702.96 1161.06i −0.0610698 0.0416367i
\(61\) −3304.30 + 8419.22i −0.113699 + 0.289699i −0.976384 0.216041i \(-0.930685\pi\)
0.862686 + 0.505741i \(0.168781\pi\)
\(62\) −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 0.999743 + 0.0226648i \(0.00721505\pi\)
0.838794 + 0.544449i \(0.183261\pi\)
\(68\) −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 −0.545728 0.837962i \(-0.683747\pi\)
0.794837 + 0.606823i \(0.207556\pi\)
\(72\) −45568.7 6868.38i −1.03594 0.156143i
\(73\) −948.436 12656.0i −0.0208306 0.277964i −0.997886 0.0649815i \(-0.979301\pi\)
0.977056 0.212983i \(-0.0683179\pi\)
\(74\) 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 −0.982142 0.188141i \(-0.939754\pi\)
0.328136 0.944631i \(-0.393580\pi\)
\(80\) −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 −0.0662450 0.997803i \(-0.521102\pi\)
0.230806 + 0.973000i \(0.425864\pi\)
\(84\) −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 −0.738561 0.674186i \(-0.764494\pi\)
−0.507029 + 0.861929i \(0.669256\pi\)
\(90\) −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 0.748688 + 0.662923i \(0.230684\pi\)
−0.962176 + 0.272430i \(0.912173\pi\)
\(98\) 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 −0.842965 0.537968i \(-0.819192\pi\)
0.473469 + 0.880811i \(0.343002\pi\)
\(102\) 14676.5 7067.83i 0.139676 0.0672645i
\(103\) −116732. 79586.4i −1.08417 0.739172i −0.116953 0.993137i \(-0.537313\pi\)
−0.967213 + 0.253965i \(0.918265\pi\)
\(104\) −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 0.991354 0.131215i \(-0.0418878\pi\)
−0.348522 + 0.937301i \(0.613316\pi\)
\(108\) −9614.72 12056.5i −0.0793190 0.0994629i
\(109\) −70821.9 65713.2i −0.570955 0.529768i 0.340998 0.940064i \(-0.389235\pi\)
−0.911953 + 0.410296i \(0.865426\pi\)
\(110\) 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 0.143256 0.989686i \(-0.454243\pi\)
0.863086 + 0.505057i \(0.168528\pi\)
\(114\) −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 −0.827865 0.560927i \(-0.810445\pi\)
0.731081 + 0.682291i \(0.239016\pi\)
\(128\) −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 0.105246 + 0.994446i \(0.466437\pi\)
−0.992933 + 0.118678i \(0.962135\pi\)
\(132\) 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 0.737629 0.675206i \(-0.235945\pi\)
−0.0679936 + 0.997686i \(0.521660\pi\)
\(138\) −11422.2 + 3523.28i −0.0510566 + 0.0157489i
\(139\) 3019.29 40289.7i 0.0132547 0.176871i −0.986647 0.162871i \(-0.947925\pi\)
0.999902 0.0139999i \(-0.00445645\pi\)
\(140\) 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 0.734017 0.679131i \(-0.237643\pi\)
−0.622379 + 0.782716i \(0.713834\pi\)
\(150\) −5369.16 6732.71i −0.0194840 0.0244322i
\(151\) −205868. 258150.i −0.734760 0.921360i 0.264312 0.964437i \(-0.414855\pi\)
−0.999072 + 0.0430773i \(0.986284\pi\)
\(152\) −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 −0.998344 0.0575225i \(-0.981680\pi\)
−0.0172447 + 0.999851i \(0.505489\pi\)
\(158\) −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 −0.580523 0.814244i \(-0.697152\pi\)
−0.0209706 + 0.999780i \(0.506676\pi\)
\(164\) 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 −0.364429 0.931231i \(-0.618736\pi\)
0.733718 + 0.679454i \(0.237783\pi\)
\(168\) 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 −0.945294 0.326220i \(-0.894225\pi\)
0.190132 0.981758i \(-0.439108\pi\)
\(180\) 213707. + 102916.i 0.491629 + 0.236756i
\(181\) −450477. + 138954.i −1.02206 + 0.315264i −0.760094 0.649813i \(-0.774847\pi\)
−0.261966 + 0.965077i \(0.584371\pi\)
\(182\) −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 0.982071 0.188511i \(-0.0603662\pi\)
0.705233 + 0.708976i \(0.250842\pi\)
\(192\) 45080.9 + 41829.0i 0.0882551 + 0.0818888i
\(193\) −239838. 300748.i −0.463474 0.581178i 0.494086 0.869413i \(-0.335503\pi\)
−0.957560 + 0.288236i \(0.906931\pi\)
\(194\) 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 −0.996188 0.0872293i \(-0.972199\pi\)
0.789589 + 0.613636i \(0.210294\pi\)
\(198\) 349704. + 238424.i 0.633925 + 0.432203i
\(199\) 454843. 219041.i 0.814196 0.392096i 0.0200317 0.999799i \(-0.493623\pi\)
0.794164 + 0.607703i \(0.207909\pi\)
\(200\) 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 0.895762 + 0.444533i \(0.146630\pi\)
−0.614178 + 0.789167i \(0.710512\pi\)
\(212\) −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 0.505361 0.862908i \(-0.331359\pi\)
−0.359561 + 0.933122i \(0.617073\pi\)
\(224\) −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 0.914666 0.404210i \(-0.132453\pi\)
−0.945430 + 0.325824i \(0.894358\pi\)
\(228\) −1453.57 19396.6i −0.00185182 0.0247109i
\(229\) −527911. 79569.8i −0.665230 0.100267i −0.192258 0.981344i \(-0.561581\pi\)
−0.472973 + 0.881077i \(0.656819\pi\)
\(230\) 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 −0.470021 0.882655i \(-0.655754\pi\)
0.944908 0.327337i \(-0.106151\pi\)
\(234\) −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 0.386437 0.922316i \(-0.373706\pi\)
−0.200270 + 0.979741i \(0.564182\pi\)
\(240\) −14239.4 + 36281.4i −0.0159575 + 0.0406590i
\(241\) −947203. 645792.i −1.05051 0.716226i −0.0904169 0.995904i \(-0.528820\pi\)
−0.960094 + 0.279678i \(0.909772\pi\)
\(242\) −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 0.656665 0.754183i \(-0.271967\pi\)
−0.981474 + 0.191597i \(0.938633\pi\)
\(252\) 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 −0.718272 0.695762i \(-0.755067\pi\)
0.385253 + 0.922811i \(0.374114\pi\)
\(264\) 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 −0.0721024 0.997397i \(-0.522971\pi\)
0.497716 0.867340i \(-0.334172\pi\)
\(270\) −95648.9 243710.i −0.0798492 0.203453i
\(271\) 44332.2 + 591572.i 0.0366687 + 0.489310i 0.985060 + 0.172209i \(0.0550904\pi\)
−0.948392 + 0.317101i \(0.897291\pi\)
\(272\) 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 0.910984 0.412442i \(-0.135324\pi\)
0.520353 + 0.853951i \(0.325800\pi\)
\(278\) −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 −0.974106 0.226091i \(-0.927405\pi\)
−0.298254 0.954487i \(-0.596404\pi\)
\(282\) −17822.9 5497.62i −0.0133461 0.00411673i
\(283\) −100931. + 257167.i −0.0749129 + 0.190875i −0.963425 0.267978i \(-0.913644\pi\)
0.888512 + 0.458853i \(0.151740\pi\)
\(284\) 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 −0.359269 0.933234i \(-0.616974\pi\)
−0.953632 + 0.300974i \(0.902688\pi\)
\(294\) 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 −0.629466 0.777028i \(-0.716726\pi\)
0.987659 + 0.156620i \(0.0500597\pi\)
\(308\) 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 0.961464 + 0.274931i \(0.0886551\pi\)
−0.991702 + 0.128562i \(0.958964\pi\)
\(312\) −16325.5 + 71526.5i −0.00949465 + 0.0415988i
\(313\) 1.14638e6 + 2.92092e6i 0.661403 + 1.68523i 0.726338 + 0.687338i \(0.241221\pi\)
−0.0649347 + 0.997890i \(0.520684\pi\)
\(314\) 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 −0.248116 0.968730i \(-0.579811\pi\)
0.602686 + 0.797978i \(0.294097\pi\)
\(318\) 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 −0.992495 0.122287i \(-0.960977\pi\)
0.963183 0.268845i \(-0.0866420\pi\)
\(332\) 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 0.620562 0.784157i \(-0.286904\pi\)
−0.989381 + 0.145344i \(0.953571\pi\)
\(338\) 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 −0.223261 0.974759i \(-0.571670\pi\)
0.0739735 + 0.997260i \(0.476432\pi\)
\(348\) 20010.4 + 87671.2i 0.00885742 + 0.0388069i
\(349\) −51521.5 + 35126.8i −0.0226425 + 0.0154374i −0.574588 0.818442i \(-0.694838\pi\)
0.551946 + 0.833880i \(0.313885\pi\)
\(350\) 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 0.404074 0.914726i \(-0.367594\pi\)
0.849145 + 0.528159i \(0.177118\pi\)
\(354\) 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 −0.125681 0.992071i \(-0.540112\pi\)
0.979904 + 0.199467i \(0.0639212\pi\)
\(360\) 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 0.335102 0.942182i \(-0.391229\pi\)
−0.914505 + 0.404574i \(0.867420\pi\)
\(368\) −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 0.709986 0.704216i \(-0.248701\pi\)
0.470872 + 0.882201i \(0.343939\pi\)
\(374\) −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 0.268855 0.963181i \(-0.413355\pi\)
−0.585417 + 0.810733i \(0.699069\pi\)
\(380\) 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 −0.982599 0.185740i \(-0.940532\pi\)
0.804702 0.593680i \(-0.202325\pi\)
\(384\) −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 −0.618436 0.785835i \(-0.712233\pi\)
0.903748 + 0.428065i \(0.140805\pi\)
\(390\) −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 −0.442012 0.897009i \(-0.645735\pi\)
0.570768 0.821112i \(-0.306646\pi\)
\(398\) 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 −0.161892 0.986808i \(-0.551760\pi\)
−0.445566 + 0.895249i \(0.646998\pi\)
\(402\) 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 0.592574 0.805516i \(-0.298112\pi\)
−0.917180 + 0.398472i \(0.869540\pi\)
\(410\) 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 −0.662475 0.749084i \(-0.730494\pi\)
0.921885 0.387465i \(-0.126649\pi\)
\(420\) 29296.8 390939.i 0.00810395 0.108140i
\(421\) 236985. 73100.2i 0.0651652 0.0201008i −0.262001 0.965068i \(-0.584382\pi\)
0.327166 + 0.944967i \(0.393906\pi\)
\(422\) 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 −0.924930 0.380136i \(-0.875877\pi\)
−0.771791 + 0.635876i \(0.780639\pi\)
\(434\) −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 0.00357389 0.999994i \(-0.498862\pi\)
0.566269 + 0.824220i \(0.308386\pi\)
\(440\) −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 0.922402 + 0.386230i \(0.126223\pi\)
−0.854535 + 0.519393i \(0.826158\pi\)
\(444\) −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 0.573561 0.819163i \(-0.305562\pi\)
0.0124469 + 0.999923i \(0.496038\pi\)
\(450\) 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 0.115327 0.993328i \(-0.463208\pi\)
0.848520 + 0.529163i \(0.177494\pi\)
\(458\) −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 0.985210 0.171351i \(-0.0548133\pi\)
−0.838758 + 0.544504i \(0.816718\pi\)
\(462\) 155662. 681998.i 0.0339294 0.148654i
\(463\) −586758. + 7.82974e6i −0.127206 + 1.69744i 0.459931 + 0.887955i \(0.347874\pi\)
−0.587137 + 0.809488i \(0.699745\pi\)
\(464\) 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 −0.915099 0.403230i \(-0.867888\pi\)
0.806757 + 0.590884i \(0.201221\pi\)
\(468\) 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 0.345325 + 0.938483i \(0.387769\pi\)
−0.985413 + 0.170182i \(0.945564\pi\)
\(480\) −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 −0.156322 0.987706i \(-0.549964\pi\)
−0.440508 + 0.897749i \(0.645202\pi\)
\(488\) −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 −0.998211 0.0597917i \(-0.980956\pi\)
0.772409 + 0.635125i \(0.219052\pi\)
\(492\) 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 0.859614 0.510944i \(-0.170704\pi\)
−0.161572 + 0.986861i \(0.551657\pi\)
\(500\) 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 −0.738968 0.673741i \(-0.764687\pi\)
0.630298 0.776353i \(-0.282933\pi\)
\(504\) −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 −0.988921 0.148440i \(-0.952575\pi\)
0.365908 0.930651i \(-0.380759\pi\)
\(510\) −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 −0.355702 0.934600i \(-0.615758\pi\)
0.740042 + 0.672561i \(0.234806\pi\)
\(522\) −1.36450e6 + 2.36338e6i −0.219177 + 0.379626i
\(523\) −2.25352e6 3.90322e6i −0.360253 0.623977i 0.627749 0.778416i \(-0.283976\pi\)
−0.988002 + 0.154439i \(0.950643\pi\)
\(524\) −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 −0.995096 0.0989149i \(-0.968463\pi\)
0.796736 + 0.604327i \(0.206558\pi\)
\(542\) 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 0.890212 0.455547i \(-0.150556\pi\)
−0.962422 + 0.271558i \(0.912461\pi\)
\(548\) −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 −0.00964229 + 0.999954i \(0.503069\pi\)
−0.972737 + 0.231911i \(0.925502\pi\)
\(558\) 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 0.941484 0.337058i \(-0.109432\pi\)
−0.994492 + 0.104816i \(0.966575\pi\)
\(564\) 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 0.812686 + 0.582702i \(0.198005\pi\)
−0.890456 + 0.455070i \(0.849614\pi\)
\(570\) 73482.9 321950.i 0.00947325 0.0415050i
\(571\) 3.75804e6 + 9.57534e6i 0.482360 + 1.22903i 0.940390 + 0.340097i \(0.110460\pi\)
−0.458030 + 0.888937i \(0.651445\pi\)
\(572\) 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 0.720440 + 0.693517i \(0.243940\pi\)
−0.999831 + 0.0183599i \(0.994156\pi\)
\(578\) 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 −0.400198 0.916429i \(-0.631059\pi\)
0.883959 + 0.467564i \(0.154868\pi\)
\(588\) −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 −0.753649 0.657277i \(-0.771708\pi\)
−0.252437 + 0.967613i \(0.581232\pi\)
\(594\) 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 −0.391290 0.920267i \(-0.627971\pi\)
−0.102652 + 0.994717i \(0.532733\pi\)
\(600\) 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 −0.998763 0.0497140i \(-0.984169\pi\)
−0.318612 + 0.947885i \(0.603217\pi\)
\(608\) 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 0.158326 + 0.987387i \(0.449390\pi\)
−0.571058 + 0.820910i \(0.693467\pi\)
\(614\) −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 −0.964584 0.263775i \(-0.915032\pi\)
0.190954 + 0.981599i \(0.438842\pi\)
\(618\) −1.07457e6 + 517484.i −0.113178 + 0.0545037i
\(619\) 1.18308e7 + 8.06608e6i 1.24104 + 0.846127i 0.992470 0.122486i \(-0.0390868\pi\)
0.248571 + 0.968614i \(0.420039\pi\)
\(620\) −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 0.599180 0.800614i \(-0.295493\pi\)
0.336575 + 0.941657i \(0.390731\pi\)
\(632\) −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 −0.705908 0.708304i \(-0.749461\pi\)
0.328679 0.944442i \(-0.393397\pi\)
\(642\) 1.01927e6 153630.i 0.0976005 0.0147109i
\(643\) −1.21633e6 + 1.52524e6i −0.116018 + 0.145482i −0.836449 0.548044i \(-0.815372\pi\)
0.720431 + 0.693526i \(0.243944\pi\)
\(644\) 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 −0.887142 0.461496i \(-0.847313\pi\)
0.647333 + 0.762207i \(0.275884\pi\)
\(648\) 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 −0.144366 0.989524i \(-0.546114\pi\)
−0.863652 + 0.504089i \(0.831828\pi\)
\(654\) −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 −0.119681 0.992812i \(-0.538187\pi\)
−0.407000 + 0.913428i \(0.633425\pi\)
\(660\) −658232. + 610750.i −0.0588192 + 0.0545762i
\(661\) 4.06634e6 1.95825e6i 0.361993 0.174327i −0.244042 0.969765i \(-0.578473\pi\)
0.606035 + 0.795438i \(0.292759\pi\)
\(662\) −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 −0.119276 0.992861i \(-0.538057\pi\)
0.981171 + 0.193140i \(0.0618670\pi\)
\(674\) −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 0.826095 + 0.563530i \(0.190557\pi\)
−0.988793 + 0.149294i \(0.952300\pi\)
\(678\) 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 −0.192335 0.981329i \(-0.561606\pi\)
0.843226 + 0.537560i \(0.180654\pi\)
\(684\) 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 −0.345236 0.938516i \(-0.612201\pi\)
−0.0532658 + 0.998580i \(0.516963\pi\)
\(692\) −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 0.996227 0.0867851i \(-0.0276593\pi\)
−0.998035 + 0.0626642i \(0.980040\pi\)
\(702\) −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 0.836806 + 0.547500i \(0.184420\pi\)
0.347566 + 0.937656i \(0.387008\pi\)
\(710\) 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 −0.987403 0.158224i \(-0.949423\pi\)
0.616198 0.787591i \(-0.288672\pi\)
\(720\) 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 0.832297 + 0.554331i \(0.187026\pi\)
−0.509358 + 0.860555i \(0.670117\pi\)
\(728\) −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 −0.0521245 + 0.998641i \(0.516599\pi\)
−0.962004 + 0.273036i \(0.911972\pi\)
\(734\) −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 0.669974 0.742385i \(-0.266305\pi\)
−0.162698 + 0.986676i \(0.552020\pi\)
\(740\) 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 −0.997141 0.0755617i \(-0.975925\pi\)
0.679561 0.733619i \(-0.262170\pi\)
\(744\) −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 0.942413 0.334450i \(-0.108551\pi\)
−0.263089 + 0.964772i \(0.584741\pi\)
\(752\) −402060. 504167.i −0.0259266 0.0325110i
\(753\) −838514. 1.05146e6i −0.0538918 0.0675782i
\(754\) 1.53549e6 + 1.42473e6i 0.0983602 + 0.0912649i
\(755\) 2.03137e7 + 6.26595e6i 1.29695 + 0.400055i