Properties

Label 76.5.l.a.23.3
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.3
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.94825 + 0.641375i) q^{2} +(-13.6721 + 2.41076i) q^{3} +(15.1773 - 5.06461i) q^{4} +(3.65652 - 3.06818i) q^{5} +(52.4346 - 18.2872i) q^{6} +(76.9302 + 44.4157i) q^{7} +(-56.6753 + 29.7306i) q^{8} +(105.000 - 38.2168i) q^{9} +O(q^{10})\) \(q+(-3.94825 + 0.641375i) q^{2} +(-13.6721 + 2.41076i) q^{3} +(15.1773 - 5.06461i) q^{4} +(3.65652 - 3.06818i) q^{5} +(52.4346 - 18.2872i) q^{6} +(76.9302 + 44.4157i) q^{7} +(-56.6753 + 29.7306i) q^{8} +(105.000 - 38.2168i) q^{9} +(-12.4690 + 14.4591i) q^{10} +(-136.857 + 79.0144i) q^{11} +(-195.296 + 105.833i) q^{12} +(33.9535 - 192.560i) q^{13} +(-332.226 - 126.023i) q^{14} +(-42.5956 + 50.7635i) q^{15} +(204.699 - 153.734i) q^{16} +(-66.6579 - 24.2615i) q^{17} +(-390.054 + 218.233i) q^{18} +(-290.672 + 214.081i) q^{19} +(39.9568 - 65.0855i) q^{20} +(-1158.87 - 421.796i) q^{21} +(489.667 - 399.745i) q^{22} +(-110.879 + 132.140i) q^{23} +(703.198 - 543.111i) q^{24} +(-104.574 + 593.067i) q^{25} +(-10.5537 + 782.051i) q^{26} +(-369.570 + 213.371i) q^{27} +(1392.54 + 284.488i) q^{28} +(-687.056 + 250.068i) q^{29} +(135.620 - 227.747i) q^{30} +(-701.660 - 405.104i) q^{31} +(-709.603 + 738.268i) q^{32} +(1680.64 - 1410.22i) q^{33} +(278.742 + 53.0376i) q^{34} +(417.572 - 73.6292i) q^{35} +(1400.06 - 1111.81i) q^{36} -665.757 q^{37} +(1010.34 - 1031.67i) q^{38} +2714.56i q^{39} +(-116.015 + 282.601i) q^{40} +(26.5664 + 150.666i) q^{41} +(4846.05 + 922.080i) q^{42} +(-1917.80 - 2285.55i) q^{43} +(-1676.94 + 1892.35i) q^{44} +(266.677 - 461.899i) q^{45} +(353.025 - 592.836i) q^{46} +(-617.989 - 1697.91i) q^{47} +(-2428.06 + 2595.35i) q^{48} +(2745.00 + 4754.48i) q^{49} +(32.5046 - 2408.65i) q^{50} +(969.843 + 171.009i) q^{51} +(-459.919 - 3094.50i) q^{52} +(-1930.46 - 1619.85i) q^{53} +(1322.30 - 1079.47i) q^{54} +(-257.989 + 708.819i) q^{55} +(-5680.55 - 230.088i) q^{56} +(3458.01 - 3627.68i) q^{57} +(2552.28 - 1427.99i) q^{58} +(-1285.07 + 3530.69i) q^{59} +(-389.389 + 986.182i) q^{60} +(996.613 + 836.257i) q^{61} +(3030.15 + 1149.42i) q^{62} +(9775.08 + 1723.61i) q^{63} +(2328.18 - 3369.98i) q^{64} +(-466.657 - 808.274i) q^{65} +(-5731.09 + 6645.82i) q^{66} +(1854.32 + 5094.70i) q^{67} +(-1134.56 - 30.6273i) q^{68} +(1197.39 - 2073.93i) q^{69} +(-1601.45 + 558.526i) q^{70} +(-4946.19 - 5894.64i) q^{71} +(-4814.68 + 5287.66i) q^{72} +(-224.644 - 1274.02i) q^{73} +(2628.57 - 427.000i) q^{74} -8360.58i q^{75} +(-3327.38 + 4721.31i) q^{76} -14037.9 q^{77} +(-1741.05 - 10717.7i) q^{78} +(-11451.9 + 2019.27i) q^{79} +(276.803 - 1190.19i) q^{80} +(-2394.91 + 2009.57i) q^{81} +(-201.524 - 577.826i) q^{82} +(1288.51 + 743.921i) q^{83} +(-19724.8 - 532.467i) q^{84} +(-318.174 + 115.806i) q^{85} +(9037.86 + 7793.88i) q^{86} +(8790.65 - 5075.29i) q^{87} +(5407.26 - 8547.00i) q^{88} +(-2655.39 + 15059.5i) q^{89} +(-756.657 + 1994.73i) q^{90} +(11164.7 - 13305.6i) q^{91} +(-1013.60 + 2567.08i) q^{92} +(10569.8 + 3847.09i) q^{93} +(3528.97 + 6307.41i) q^{94} +(-406.009 + 1674.63i) q^{95} +(7921.98 - 11804.4i) q^{96} +(2330.55 + 848.252i) q^{97} +(-13887.3 - 17011.3i) q^{98} +(-11350.3 + 13526.7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.94825 + 0.641375i −0.987061 + 0.160344i
\(3\) −13.6721 + 2.41076i −1.51912 + 0.267862i −0.870088 0.492896i \(-0.835938\pi\)
−0.649035 + 0.760758i \(0.724827\pi\)
\(4\) 15.1773 5.06461i 0.948580 0.316538i
\(5\) 3.65652 3.06818i 0.146261 0.122727i −0.566722 0.823909i \(-0.691788\pi\)
0.712982 + 0.701182i \(0.247344\pi\)
\(6\) 52.4346 18.2872i 1.45652 0.507978i
\(7\) 76.9302 + 44.4157i 1.57000 + 0.906442i 0.996167 + 0.0874725i \(0.0278790\pi\)
0.573837 + 0.818970i \(0.305454\pi\)
\(8\) −56.6753 + 29.7306i −0.885552 + 0.464541i
\(9\) 105.000 38.2168i 1.29629 0.471812i
\(10\) −12.4690 + 14.4591i −0.124690 + 0.144591i
\(11\) −136.857 + 79.0144i −1.13105 + 0.653011i −0.944198 0.329377i \(-0.893161\pi\)
−0.186850 + 0.982388i \(0.559828\pi\)
\(12\) −195.296 + 105.833i −1.35622 + 0.734949i
\(13\) 33.9535 192.560i 0.200908 1.13941i −0.702841 0.711347i \(-0.748086\pi\)
0.903750 0.428061i \(-0.140803\pi\)
\(14\) −332.226 126.023i −1.69503 0.642974i
\(15\) −42.5956 + 50.7635i −0.189314 + 0.225616i
\(16\) 204.699 153.734i 0.799607 0.600523i
\(17\) −66.6579 24.2615i −0.230650 0.0839498i 0.224110 0.974564i \(-0.428053\pi\)
−0.454760 + 0.890614i \(0.650275\pi\)
\(18\) −390.054 + 218.233i −1.20387 + 0.673560i
\(19\) −290.672 + 214.081i −0.805186 + 0.593022i
\(20\) 39.9568 65.0855i 0.0998921 0.162714i
\(21\) −1158.87 421.796i −2.62783 0.956453i
\(22\) 489.667 399.745i 1.01171 0.825919i
\(23\) −110.879 + 132.140i −0.209600 + 0.249792i −0.860595 0.509291i \(-0.829908\pi\)
0.650994 + 0.759083i \(0.274352\pi\)
\(24\) 703.198 543.111i 1.22083 0.942901i
\(25\) −104.574 + 593.067i −0.167318 + 0.948907i
\(26\) −10.5537 + 782.051i −0.0156120 + 1.15688i
\(27\) −369.570 + 213.371i −0.506955 + 0.292690i
\(28\) 1392.54 + 284.488i 1.77620 + 0.362867i
\(29\) −687.056 + 250.068i −0.816951 + 0.297346i −0.716492 0.697595i \(-0.754253\pi\)
−0.100459 + 0.994941i \(0.532031\pi\)
\(30\) 135.620 227.747i 0.150688 0.253052i
\(31\) −701.660 405.104i −0.730136 0.421544i 0.0883362 0.996091i \(-0.471845\pi\)
−0.818472 + 0.574547i \(0.805178\pi\)
\(32\) −709.603 + 738.268i −0.692971 + 0.720965i
\(33\) 1680.64 1410.22i 1.54329 1.29497i
\(34\) 278.742 + 53.0376i 0.241127 + 0.0458803i
\(35\) 417.572 73.6292i 0.340875 0.0601054i
\(36\) 1400.06 1111.81i 1.08029 0.857878i
\(37\) −665.757 −0.486309 −0.243155 0.969988i \(-0.578182\pi\)
−0.243155 + 0.969988i \(0.578182\pi\)
\(38\) 1010.34 1031.67i 0.699681 0.714456i
\(39\) 2714.56i 1.78472i
\(40\) −116.015 + 282.601i −0.0725095 + 0.176625i
\(41\) 26.5664 + 150.666i 0.0158039 + 0.0896286i 0.991690 0.128654i \(-0.0410657\pi\)
−0.975886 + 0.218283i \(0.929955\pi\)
\(42\) 4846.05 + 922.080i 2.74719 + 0.522721i
\(43\) −1917.80 2285.55i −1.03721 1.23610i −0.971196 0.238282i \(-0.923416\pi\)
−0.0660157 0.997819i \(-0.521029\pi\)
\(44\) −1676.94 + 1892.35i −0.866187 + 0.977453i
\(45\) 266.677 461.899i 0.131693 0.228098i
\(46\) 353.025 592.836i 0.166836 0.280168i
\(47\) −617.989 1697.91i −0.279760 0.768633i −0.997390 0.0722086i \(-0.976995\pi\)
0.717630 0.696425i \(-0.245227\pi\)
\(48\) −2428.06 + 2595.35i −1.05384 + 1.12645i
\(49\) 2745.00 + 4754.48i 1.14327 + 1.98021i
\(50\) 32.5046 2408.65i 0.0130018 0.963458i
\(51\) 969.843 + 171.009i 0.372873 + 0.0657476i
\(52\) −459.919 3094.50i −0.170088 1.14441i
\(53\) −1930.46 1619.85i −0.687243 0.576665i 0.230870 0.972985i \(-0.425843\pi\)
−0.918113 + 0.396320i \(0.870287\pi\)
\(54\) 1322.30 1079.47i 0.453464 0.370190i
\(55\) −257.989 + 708.819i −0.0852856 + 0.234320i
\(56\) −5680.55 230.088i −1.81140 0.0733699i
\(57\) 3458.01 3627.68i 1.06433 1.11655i
\(58\) 2552.28 1427.99i 0.758704 0.424492i
\(59\) −1285.07 + 3530.69i −0.369166 + 1.01428i 0.606513 + 0.795073i \(0.292568\pi\)
−0.975679 + 0.219202i \(0.929655\pi\)
\(60\) −389.389 + 986.182i −0.108164 + 0.273939i
\(61\) 996.613 + 836.257i 0.267835 + 0.224740i 0.766807 0.641878i \(-0.221845\pi\)
−0.498972 + 0.866618i \(0.666289\pi\)
\(62\) 3030.15 + 1149.42i 0.788280 + 0.299017i
\(63\) 9775.08 + 1723.61i 2.46286 + 0.434268i
\(64\) 2328.18 3369.98i 0.568403 0.822750i
\(65\) −466.657 808.274i −0.110451 0.191308i
\(66\) −5731.09 + 6645.82i −1.31568 + 1.52567i
\(67\) 1854.32 + 5094.70i 0.413081 + 1.13493i 0.955543 + 0.294850i \(0.0952697\pi\)
−0.542463 + 0.840080i \(0.682508\pi\)
\(68\) −1134.56 30.6273i −0.245363 0.00662354i
\(69\) 1197.39 2073.93i 0.251499 0.435609i
\(70\) −1601.45 + 558.526i −0.326827 + 0.113985i
\(71\) −4946.19 5894.64i −0.981193 1.16934i −0.985556 0.169350i \(-0.945833\pi\)
0.00436316 0.999990i \(-0.498611\pi\)
\(72\) −4814.68 + 5287.66i −0.928759 + 1.02000i
\(73\) −224.644 1274.02i −0.0421549 0.239072i 0.956449 0.291900i \(-0.0942876\pi\)
−0.998604 + 0.0528280i \(0.983176\pi\)
\(74\) 2628.57 427.000i 0.480017 0.0779766i
\(75\) 8360.58i 1.48633i
\(76\) −3327.38 + 4721.31i −0.576069 + 0.817401i
\(77\) −14037.9 −2.36767
\(78\) −1741.05 10717.7i −0.286168 1.76163i
\(79\) −11451.9 + 2019.27i −1.83494 + 0.323550i −0.980579 0.196127i \(-0.937164\pi\)
−0.854363 + 0.519676i \(0.826052\pi\)
\(80\) 276.803 1190.19i 0.0432505 0.185967i
\(81\) −2394.91 + 2009.57i −0.365022 + 0.306290i
\(82\) −201.524 577.826i −0.0299708 0.0859349i
\(83\) 1288.51 + 743.921i 0.187039 + 0.107987i 0.590596 0.806968i \(-0.298893\pi\)
−0.403557 + 0.914955i \(0.632226\pi\)
\(84\) −19724.8 532.467i −2.79546 0.0754630i
\(85\) −318.174 + 115.806i −0.0440380 + 0.0160285i
\(86\) 9037.86 + 7793.88i 1.22199 + 1.05380i
\(87\) 8790.65 5075.29i 1.16140 0.670536i
\(88\) 5407.26 8547.00i 0.698251 1.10369i
\(89\) −2655.39 + 15059.5i −0.335234 + 1.90121i 0.0896736 + 0.995971i \(0.471418\pi\)
−0.424908 + 0.905237i \(0.639693\pi\)
\(90\) −756.657 + 1994.73i −0.0934145 + 0.246263i
\(91\) 11164.7 13305.6i 1.34823 1.60676i
\(92\) −1013.60 + 2567.08i −0.119754 + 0.303294i
\(93\) 10569.8 + 3847.09i 1.22208 + 0.444802i
\(94\) 3528.97 + 6307.41i 0.399385 + 0.713830i
\(95\) −406.009 + 1674.63i −0.0449871 + 0.185554i
\(96\) 7921.98 11804.4i 0.859590 1.28086i
\(97\) 2330.55 + 848.252i 0.247694 + 0.0901533i 0.462884 0.886419i \(-0.346815\pi\)
−0.215190 + 0.976572i \(0.569037\pi\)
\(98\) −13887.3 17011.3i −1.44600 1.77127i
\(99\) −11350.3 + 13526.7i −1.15807 + 1.38014i
\(100\) 1416.51 + 9530.77i 0.141651 + 0.953077i
\(101\) 205.251 1164.03i 0.0201206 0.114110i −0.973093 0.230411i \(-0.925993\pi\)
0.993214 + 0.116302i \(0.0371039\pi\)
\(102\) −3938.86 53.1547i −0.378591 0.00510907i
\(103\) 5598.17 3232.10i 0.527681 0.304657i −0.212391 0.977185i \(-0.568125\pi\)
0.740072 + 0.672528i \(0.234792\pi\)
\(104\) 3800.60 + 11922.9i 0.351387 + 1.10233i
\(105\) −5531.59 + 2013.33i −0.501731 + 0.182615i
\(106\) 8660.88 + 5157.42i 0.770815 + 0.459009i
\(107\) 7027.39 + 4057.27i 0.613800 + 0.354377i 0.774451 0.632634i \(-0.218026\pi\)
−0.160651 + 0.987011i \(0.551360\pi\)
\(108\) −4528.42 + 5110.12i −0.388239 + 0.438111i
\(109\) 10097.2 8472.52i 0.849857 0.713115i −0.109901 0.993943i \(-0.535053\pi\)
0.959758 + 0.280828i \(0.0906089\pi\)
\(110\) 563.985 2964.06i 0.0466104 0.244964i
\(111\) 9102.31 1604.98i 0.738764 0.130264i
\(112\) 22575.8 2734.91i 1.79973 0.218026i
\(113\) 11087.0 0.868276 0.434138 0.900846i \(-0.357053\pi\)
0.434138 + 0.900846i \(0.357053\pi\)
\(114\) −11326.3 + 16540.8i −0.871526 + 1.27276i
\(115\) 823.368i 0.0622584i
\(116\) −9161.15 + 7275.02i −0.680822 + 0.540653i
\(117\) −3793.91 21516.4i −0.277151 1.57180i
\(118\) 2809.26 14764.3i 0.201757 1.06035i
\(119\) −4050.41 4827.09i −0.286026 0.340872i
\(120\) 904.890 4143.43i 0.0628396 0.287738i
\(121\) 5166.04 8947.84i 0.352847 0.611150i
\(122\) −4471.23 2662.55i −0.300405 0.178887i
\(123\) −726.438 1995.87i −0.0480163 0.131924i
\(124\) −12701.0 2594.74i −0.826027 0.168752i
\(125\) 2928.90 + 5073.00i 0.187450 + 0.324672i
\(126\) −39699.9 535.748i −2.50062 0.0337458i
\(127\) 16745.0 + 2952.59i 1.03819 + 0.183061i 0.666661 0.745361i \(-0.267723\pi\)
0.371528 + 0.928422i \(0.378834\pi\)
\(128\) −7030.80 + 14798.8i −0.429126 + 0.903245i
\(129\) 31730.4 + 26624.9i 1.90676 + 1.59996i
\(130\) 2360.88 + 2891.96i 0.139697 + 0.171122i
\(131\) −1245.94 + 3423.20i −0.0726031 + 0.199475i −0.970686 0.240351i \(-0.922738\pi\)
0.898083 + 0.439826i \(0.144960\pi\)
\(132\) 18365.3 29915.1i 1.05402 1.71689i
\(133\) −31870.0 + 3558.89i −1.80169 + 0.201192i
\(134\) −10588.9 18925.8i −0.589715 1.05401i
\(135\) −696.677 + 1914.10i −0.0382264 + 0.105026i
\(136\) 4499.16 606.754i 0.243251 0.0328046i
\(137\) −14078.9 11813.6i −0.750112 0.629419i 0.185420 0.982659i \(-0.440635\pi\)
−0.935533 + 0.353240i \(0.885080\pi\)
\(138\) −3397.41 + 8956.37i −0.178398 + 0.470299i
\(139\) −22929.7 4043.13i −1.18678 0.209261i −0.454802 0.890592i \(-0.650290\pi\)
−0.731975 + 0.681332i \(0.761401\pi\)
\(140\) 5964.70 3232.33i 0.304321 0.164915i
\(141\) 12542.5 + 21724.2i 0.630878 + 1.09271i
\(142\) 23309.5 + 20101.1i 1.15599 + 0.996882i
\(143\) 10568.2 + 29036.0i 0.516809 + 1.41992i
\(144\) 15618.2 23965.0i 0.753192 1.15572i
\(145\) −1744.98 + 3022.39i −0.0829954 + 0.143752i
\(146\) 1704.07 + 4886.05i 0.0799432 + 0.229220i
\(147\) −48991.9 58386.3i −2.26720 2.70194i
\(148\) −10104.4 + 3371.80i −0.461303 + 0.153935i
\(149\) −2225.05 12618.9i −0.100223 0.568394i −0.993021 0.117937i \(-0.962372\pi\)
0.892798 0.450457i \(-0.148739\pi\)
\(150\) 5362.27 + 33009.6i 0.238323 + 1.46709i
\(151\) 14282.1i 0.626381i 0.949690 + 0.313191i \(0.101398\pi\)
−0.949690 + 0.313191i \(0.898602\pi\)
\(152\) 10109.2 20775.0i 0.437551 0.899194i
\(153\) −7926.26 −0.338599
\(154\) 55425.1 9003.55i 2.33703 0.379640i
\(155\) −3808.56 + 671.553i −0.158525 + 0.0279522i
\(156\) 13748.2 + 41199.6i 0.564931 + 1.69295i
\(157\) 10750.3 9020.58i 0.436136 0.365961i −0.398125 0.917331i \(-0.630339\pi\)
0.834261 + 0.551370i \(0.185895\pi\)
\(158\) 43919.7 15317.5i 1.75932 0.613585i
\(159\) 30298.6 + 17492.9i 1.19847 + 0.691939i
\(160\) −329.533 + 4876.68i −0.0128724 + 0.190495i
\(161\) −14399.0 + 5240.81i −0.555495 + 0.202184i
\(162\) 8166.81 9470.31i 0.311188 0.360856i
\(163\) −13451.4 + 7766.17i −0.506282 + 0.292302i −0.731304 0.682052i \(-0.761088\pi\)
0.225022 + 0.974354i \(0.427755\pi\)
\(164\) 1166.27 + 2152.15i 0.0433622 + 0.0800174i
\(165\) 1818.46 10313.0i 0.0667938 0.378806i
\(166\) −5564.48 2110.77i −0.201934 0.0765992i
\(167\) 1.63239 1.94541i 5.85317e−5 6.97554e-5i −0.766015 0.642822i \(-0.777763\pi\)
0.766074 + 0.642753i \(0.222208\pi\)
\(168\) 78219.8 10548.7i 2.77139 0.373748i
\(169\) −9087.95 3307.74i −0.318194 0.115813i
\(170\) 1181.95 661.299i 0.0408981 0.0228823i
\(171\) −22339.0 + 33587.0i −0.763963 + 1.14863i
\(172\) −40682.5 24975.5i −1.37515 0.844223i
\(173\) −21912.7 7975.57i −0.732156 0.266483i −0.0510787 0.998695i \(-0.516266\pi\)
−0.681077 + 0.732212i \(0.738488\pi\)
\(174\) −31452.5 + 25676.6i −1.03886 + 0.848084i
\(175\) −34386.3 + 40980.1i −1.12282 + 1.33812i
\(176\) −15867.3 + 37213.7i −0.512247 + 1.20137i
\(177\) 9057.92 51370.0i 0.289123 1.63970i
\(178\) 825.373 61161.6i 0.0260501 1.93036i
\(179\) 36616.3 21140.4i 1.14280 0.659793i 0.195674 0.980669i \(-0.437310\pi\)
0.947121 + 0.320876i \(0.103977\pi\)
\(180\) 1708.10 8360.98i 0.0527191 0.258055i
\(181\) −12999.6 + 4731.48i −0.396802 + 0.144424i −0.532711 0.846297i \(-0.678827\pi\)
0.135909 + 0.990721i \(0.456605\pi\)
\(182\) −35547.2 + 59694.6i −1.07316 + 1.80215i
\(183\) −15641.8 9030.81i −0.467073 0.269665i
\(184\) 2355.47 10785.6i 0.0695733 0.318572i
\(185\) −2434.35 + 2042.66i −0.0711279 + 0.0596834i
\(186\) −44199.5 8410.05i −1.27759 0.243093i
\(187\) 11039.6 1946.58i 0.315697 0.0556658i
\(188\) −17978.6 22639.8i −0.508676 0.640556i
\(189\) −37908.1 −1.06123
\(190\) 528.959 6872.24i 0.0146526 0.190367i
\(191\) 35238.7i 0.965946i −0.875635 0.482973i \(-0.839557\pi\)
0.875635 0.482973i \(-0.160443\pi\)
\(192\) −23706.9 + 51687.5i −0.643091 + 1.40211i
\(193\) 7363.80 + 41762.2i 0.197691 + 1.12116i 0.908534 + 0.417812i \(0.137203\pi\)
−0.710842 + 0.703351i \(0.751686\pi\)
\(194\) −9745.65 1854.35i −0.258945 0.0492706i
\(195\) 8328.75 + 9925.82i 0.219034 + 0.261034i
\(196\) 65741.3 + 58257.8i 1.71130 + 1.51650i
\(197\) −23708.0 + 41063.5i −0.610890 + 1.05809i 0.380201 + 0.924904i \(0.375855\pi\)
−0.991091 + 0.133188i \(0.957478\pi\)
\(198\) 36137.9 60686.6i 0.921792 1.54797i
\(199\) 4338.36 + 11919.6i 0.109552 + 0.300991i 0.982339 0.187110i \(-0.0599120\pi\)
−0.872787 + 0.488101i \(0.837690\pi\)
\(200\) −11705.5 36721.3i −0.292638 0.918033i
\(201\) −37634.6 65185.0i −0.931526 1.61345i
\(202\) −63.7979 + 4727.54i −0.00156352 + 0.115860i
\(203\) −63962.3 11278.3i −1.55214 0.273685i
\(204\) 15585.7 2316.42i 0.374511 0.0556617i
\(205\) 559.410 + 469.401i 0.0133114 + 0.0111696i
\(206\) −20029.9 + 16351.7i −0.472004 + 0.385325i
\(207\) −6592.26 + 18112.1i −0.153849 + 0.422696i
\(208\) −22652.7 44636.7i −0.523593 1.03173i
\(209\) 22865.0 52265.7i 0.523455 1.19653i
\(210\) 20548.8 11496.9i 0.465958 0.260702i
\(211\) −7000.91 + 19234.8i −0.157250 + 0.432040i −0.993151 0.116840i \(-0.962723\pi\)
0.835901 + 0.548880i \(0.184946\pi\)
\(212\) −37503.1 14807.9i −0.834441 0.329474i
\(213\) 81835.5 + 68668.1i 1.80378 + 1.51355i
\(214\) −30348.1 11511.9i −0.662680 0.251373i
\(215\) −14025.0 2472.98i −0.303407 0.0534988i
\(216\) 14601.8 23080.4i 0.312968 0.494694i
\(217\) −35985.9 62329.4i −0.764210 1.32365i
\(218\) −34432.0 + 39927.6i −0.724518 + 0.840157i
\(219\) 6142.70 + 16876.9i 0.128077 + 0.351889i
\(220\) −325.681 + 12064.6i −0.00672894 + 0.249268i
\(221\) −6935.06 + 12011.9i −0.141993 + 0.245938i
\(222\) −34908.7 + 12174.9i −0.708318 + 0.247035i
\(223\) −36967.2 44055.8i −0.743373 0.885918i 0.253302 0.967387i \(-0.418483\pi\)
−0.996676 + 0.0814692i \(0.974039\pi\)
\(224\) −87380.5 + 25277.6i −1.74148 + 0.503779i
\(225\) 11684.9 + 66268.4i 0.230813 + 1.30901i
\(226\) −43774.2 + 7110.93i −0.857041 + 0.139223i
\(227\) 62751.6i 1.21779i 0.793250 + 0.608896i \(0.208387\pi\)
−0.793250 + 0.608896i \(0.791613\pi\)
\(228\) 34110.3 72571.8i 0.656170 1.39604i
\(229\) 16523.5 0.315087 0.157544 0.987512i \(-0.449642\pi\)
0.157544 + 0.987512i \(0.449642\pi\)
\(230\) −528.087 3250.86i −0.00998274 0.0614529i
\(231\) 191928. 33842.0i 3.59678 0.634209i
\(232\) 31504.4 34599.3i 0.585323 0.642823i
\(233\) 34611.7 29042.7i 0.637546 0.534965i −0.265717 0.964051i \(-0.585609\pi\)
0.903264 + 0.429086i \(0.141164\pi\)
\(234\) 28779.3 + 82518.5i 0.525592 + 1.50702i
\(235\) −7469.19 4312.34i −0.135250 0.0780867i
\(236\) −1622.25 + 60094.7i −0.0291268 + 1.07898i
\(237\) 151703. 55215.5i 2.70084 0.983024i
\(238\) 19088.0 + 16460.7i 0.336982 + 0.290600i
\(239\) 63353.3 36577.0i 1.10911 0.640343i 0.170509 0.985356i \(-0.445459\pi\)
0.938598 + 0.345013i \(0.112125\pi\)
\(240\) −915.233 + 16939.7i −0.0158895 + 0.294091i
\(241\) −15908.4 + 90221.0i −0.273900 + 1.55336i 0.468534 + 0.883446i \(0.344782\pi\)
−0.742434 + 0.669919i \(0.766329\pi\)
\(242\) −14657.9 + 38641.6i −0.250288 + 0.659819i
\(243\) 50117.6 59727.8i 0.848746 1.01150i
\(244\) 19361.2 + 7644.66i 0.325201 + 0.128404i
\(245\) 24624.8 + 8962.68i 0.410242 + 0.149316i
\(246\) 4148.26 + 7414.28i 0.0685481 + 0.122518i
\(247\) 31354.1 + 63240.6i 0.513925 + 1.03658i
\(248\) 51810.8 + 2098.57i 0.842397 + 0.0341209i
\(249\) −19410.1 7064.69i −0.313060 0.113945i
\(250\) −14817.7 18150.9i −0.237083 0.290415i
\(251\) −16503.1 + 19667.7i −0.261950 + 0.312180i −0.880948 0.473212i \(-0.843094\pi\)
0.618998 + 0.785392i \(0.287539\pi\)
\(252\) 157088. 23347.2i 2.47368 0.367650i
\(253\) 4733.54 26845.3i 0.0739512 0.419398i
\(254\) −68006.9 917.750i −1.05411 0.0142252i
\(255\) 4070.93 2350.35i 0.0626057 0.0361454i
\(256\) 18267.8 62938.5i 0.278744 0.960365i
\(257\) 60353.6 21966.9i 0.913770 0.332585i 0.158013 0.987437i \(-0.449491\pi\)
0.755757 + 0.654852i \(0.227269\pi\)
\(258\) −142356. 84770.7i −2.13863 1.27352i
\(259\) −51216.8 29570.1i −0.763507 0.440811i
\(260\) −11176.2 9903.97i −0.165328 0.146508i
\(261\) −62583.9 + 52514.2i −0.918717 + 0.770895i
\(262\) 2723.73 14314.7i 0.0396791 0.208536i
\(263\) 70971.2 12514.1i 1.02605 0.180921i 0.364803 0.931085i \(-0.381136\pi\)
0.661252 + 0.750164i \(0.270025\pi\)
\(264\) −53323.8 + 129891.i −0.765092 + 1.86368i
\(265\) −12028.8 −0.171289
\(266\) 123548. 34492.0i 1.74611 0.487478i
\(267\) 212296.i 2.97797i
\(268\) 53946.2 + 67932.3i 0.751089 + 0.945816i
\(269\) 10895.3 + 61790.2i 0.150568 + 0.853916i 0.962726 + 0.270478i \(0.0871817\pi\)
−0.812158 + 0.583438i \(0.801707\pi\)
\(270\) 1522.99 8004.18i 0.0208915 0.109797i
\(271\) −9707.79 11569.3i −0.132185 0.157532i 0.695892 0.718147i \(-0.255009\pi\)
−0.828077 + 0.560615i \(0.810565\pi\)
\(272\) −17374.6 + 5281.26i −0.234843 + 0.0713839i
\(273\) −120569. + 208831.i −1.61774 + 2.80201i
\(274\) 63163.7 + 37613.0i 0.841330 + 0.500999i
\(275\) −32549.2 89428.1i −0.430402 1.18252i
\(276\) 7669.40 37541.0i 0.100680 0.492819i
\(277\) 19842.2 + 34367.7i 0.258601 + 0.447910i 0.965867 0.259037i \(-0.0834052\pi\)
−0.707266 + 0.706947i \(0.750072\pi\)
\(278\) 93125.3 + 1256.72i 1.20498 + 0.0162611i
\(279\) −89156.0 15720.6i −1.14536 0.201958i
\(280\) −21477.0 + 16587.6i −0.273941 + 0.211577i
\(281\) −32501.8 27272.3i −0.411619 0.345389i 0.413345 0.910574i \(-0.364360\pi\)
−0.824964 + 0.565185i \(0.808805\pi\)
\(282\) −63454.1 77728.1i −0.797924 0.977416i
\(283\) −51667.0 + 141954.i −0.645120 + 1.77245i −0.0101079 + 0.999949i \(0.503218\pi\)
−0.635012 + 0.772503i \(0.719005\pi\)
\(284\) −104924. 64414.1i −1.30088 0.798628i
\(285\) 1513.87 23874.5i 0.0186380 0.293930i
\(286\) −60348.9 107863.i −0.737798 1.31868i
\(287\) −4648.16 + 12770.7i −0.0564309 + 0.155043i
\(288\) −46293.9 + 104637.i −0.558134 + 1.26153i
\(289\) −60126.1 50451.8i −0.719893 0.604062i
\(290\) 4951.12 13052.3i 0.0588718 0.155200i
\(291\) −33908.5 5978.99i −0.400427 0.0706060i
\(292\) −9861.87 18198.4i −0.115663 0.213436i
\(293\) 78441.2 + 135864.i 0.913711 + 1.58259i 0.808777 + 0.588115i \(0.200130\pi\)
0.104934 + 0.994479i \(0.466537\pi\)
\(294\) 230880. + 199101.i 2.67110 + 2.30345i
\(295\) 6133.94 + 16852.9i 0.0704848 + 0.193655i
\(296\) 37732.0 19793.4i 0.430652 0.225911i
\(297\) 33718.8 58402.7i 0.382260 0.662094i
\(298\) 16878.5 + 48395.5i 0.190065 + 0.544969i
\(299\) 21680.2 + 25837.4i 0.242505 + 0.289006i
\(300\) −42343.1 126891.i −0.470479 1.40990i
\(301\) −46022.8 261008.i −0.507973 2.88086i
\(302\) −9160.19 56389.3i −0.100436 0.618277i
\(303\) 16409.6i 0.178737i
\(304\) −26589.0 + 88508.4i −0.287709 + 0.957718i
\(305\) 6209.92 0.0667554
\(306\) 31294.8 5083.70i 0.334218 0.0542922i
\(307\) 64024.5 11289.3i 0.679313 0.119781i 0.176663 0.984271i \(-0.443470\pi\)
0.502650 + 0.864490i \(0.332359\pi\)
\(308\) −213057. + 71096.5i −2.24592 + 0.749457i
\(309\) −68746.9 + 57685.5i −0.720006 + 0.604157i
\(310\) 14606.4 5094.17i 0.151992 0.0530091i
\(311\) 131371. + 75846.9i 1.35824 + 0.784183i 0.989387 0.145304i \(-0.0464159\pi\)
0.368857 + 0.929486i \(0.379749\pi\)
\(312\) −80705.5 153848.i −0.829075 1.58046i
\(313\) −84185.2 + 30640.9i −0.859305 + 0.312761i −0.733828 0.679335i \(-0.762268\pi\)
−0.125477 + 0.992097i \(0.540046\pi\)
\(314\) −36659.3 + 42510.4i −0.371813 + 0.431158i
\(315\) 41031.1 23689.3i 0.413516 0.238743i
\(316\) −163581. + 88646.3i −1.63817 + 0.887741i
\(317\) 24077.1 136548.i 0.239599 1.35883i −0.593109 0.805122i \(-0.702100\pi\)
0.832708 0.553712i \(-0.186789\pi\)
\(318\) −130846. 49633.5i −1.29391 0.490819i
\(319\) 74269.4 88510.8i 0.729841 0.869791i
\(320\) −1826.70 19465.7i −0.0178389 0.190095i
\(321\) −105860. 38530.0i −1.02736 0.373929i
\(322\) 53489.4 29927.1i 0.515889 0.288638i
\(323\) 24569.5 7218.04i 0.235500 0.0691854i
\(324\) −26170.6 + 42629.1i −0.249300 + 0.406084i
\(325\) 110650. + 40273.4i 1.04758 + 0.381287i
\(326\) 48128.4 39290.1i 0.452862 0.369699i
\(327\) −117624. + 140179.i −1.10002 + 1.31095i
\(328\) −5985.05 7749.19i −0.0556314 0.0720292i
\(329\) 27871.8 158069.i 0.257498 1.46034i
\(330\) −565.231 + 41884.6i −0.00519036 + 0.384615i
\(331\) −104460. + 60310.0i −0.953441 + 0.550469i −0.894148 0.447771i \(-0.852218\pi\)
−0.0592928 + 0.998241i \(0.518885\pi\)
\(332\) 23323.7 + 4764.90i 0.211603 + 0.0432293i
\(333\) −69904.4 + 25443.1i −0.630400 + 0.229447i
\(334\) −5.19735 + 8.72792i −4.65896e−5 + 7.82380e-5i
\(335\) 22411.8 + 12939.5i 0.199704 + 0.115299i
\(336\) −302065. + 91816.9i −2.67561 + 0.813287i
\(337\) 55727.6 46761.0i 0.490694 0.411741i −0.363581 0.931563i \(-0.618446\pi\)
0.854275 + 0.519822i \(0.174002\pi\)
\(338\) 38003.0 + 7231.00i 0.332647 + 0.0632944i
\(339\) −151583. + 26728.2i −1.31902 + 0.232579i
\(340\) −4242.51 + 3369.05i −0.0366999 + 0.0291440i
\(341\) 128036. 1.10109
\(342\) 66658.1 146937.i 0.569903 1.25626i
\(343\) 274400.i 2.33236i
\(344\) 176643. + 72516.7i 1.49272 + 0.612803i
\(345\) −1984.94 11257.2i −0.0166767 0.0945782i
\(346\) 91632.0 + 17435.3i 0.765411 + 0.145638i
\(347\) −53938.6 64281.5i −0.447961 0.533860i 0.494053 0.869432i \(-0.335515\pi\)
−0.942015 + 0.335572i \(0.891070\pi\)
\(348\) 107714. 121550.i 0.889433 1.00368i
\(349\) −11986.9 + 20762.0i −0.0984142 + 0.170458i −0.911028 0.412344i \(-0.864710\pi\)
0.812614 + 0.582802i \(0.198044\pi\)
\(350\) 109482. 183854.i 0.893732 1.50085i
\(351\) 28538.6 + 78409.1i 0.231642 + 0.636432i
\(352\) 38780.2 157106.i 0.312986 1.26796i
\(353\) 34072.2 + 59014.8i 0.273433 + 0.473600i 0.969739 0.244146i \(-0.0785075\pi\)
−0.696306 + 0.717745i \(0.745174\pi\)
\(354\) −2815.47 + 208631.i −0.0224669 + 1.66484i
\(355\) −36171.7 6378.04i −0.287020 0.0506093i
\(356\) 35968.7 + 242010.i 0.283808 + 1.90956i
\(357\) 67014.7 + 56232.0i 0.525816 + 0.441212i
\(358\) −131011. + 106952.i −1.02222 + 0.834496i
\(359\) 36191.6 99435.6i 0.280814 0.771530i −0.716452 0.697636i \(-0.754235\pi\)
0.997266 0.0738940i \(-0.0235427\pi\)
\(360\) −1381.48 + 34106.7i −0.0106595 + 0.263169i
\(361\) 38659.7 124455.i 0.296650 0.954986i
\(362\) 48291.1 27018.7i 0.368510 0.206180i
\(363\) −49059.5 + 134790.i −0.372315 + 1.02293i
\(364\) 102063. 258488.i 0.770306 1.95091i
\(365\) −4730.33 3969.22i −0.0355063 0.0297933i
\(366\) 67549.9 + 25623.6i 0.504269 + 0.191284i
\(367\) 44424.4 + 7833.22i 0.329829 + 0.0581578i 0.336111 0.941822i \(-0.390888\pi\)
−0.00628142 + 0.999980i \(0.501999\pi\)
\(368\) −2382.40 + 44094.8i −0.0175921 + 0.325605i
\(369\) 8547.43 + 14804.6i 0.0627744 + 0.108729i
\(370\) 8301.31 9626.27i 0.0606377 0.0703161i
\(371\) −76564.2 210358.i −0.556260 1.52831i
\(372\) 179905. + 4856.49i 1.30004 + 0.0350943i
\(373\) 17814.3 30855.3i 0.128042 0.221775i −0.794876 0.606772i \(-0.792464\pi\)
0.922918 + 0.384997i \(0.125798\pi\)
\(374\) −42338.5 + 14766.1i −0.302686 + 0.105566i
\(375\) −52274.1 62297.8i −0.371727 0.443007i
\(376\) 85504.7 + 77856.4i 0.604803 + 0.550705i
\(377\) 24825.1 + 140790.i 0.174666 + 0.990580i
\(378\) 149671. 24313.3i 1.04750 0.170161i
\(379\) 30202.2i 0.210262i 0.994458 + 0.105131i \(0.0335261\pi\)
−0.994458 + 0.105131i \(0.966474\pi\)
\(380\) 2319.22 + 27472.5i 0.0160611 + 0.190253i
\(381\) −236057. −1.62617
\(382\) 22601.2 + 139131.i 0.154883 + 0.953448i
\(383\) −176988. + 31207.8i −1.20655 + 0.212748i −0.740530 0.672024i \(-0.765425\pi\)
−0.466025 + 0.884772i \(0.654314\pi\)
\(384\) 60449.6 219280.i 0.409950 1.48709i
\(385\) −51329.8 + 43070.8i −0.346297 + 0.290577i
\(386\) −55859.3 160164.i −0.374905 1.07496i
\(387\) −288715. 166690.i −1.92774 1.11298i
\(388\) 39667.5 + 1070.82i 0.263495 + 0.00711299i
\(389\) −160949. + 58580.7i −1.06363 + 0.387128i −0.813790 0.581159i \(-0.802599\pi\)
−0.249837 + 0.968288i \(0.580377\pi\)
\(390\) −39250.1 33847.7i −0.258055 0.222536i
\(391\) 10596.8 6118.09i 0.0693143 0.0400186i
\(392\) −296928. 187851.i −1.93232 1.22248i
\(393\) 8782.14 49806.0i 0.0568611 0.322475i
\(394\) 67268.0 177335.i 0.433327 1.14235i
\(395\) −35678.5 + 42519.9i −0.228671 + 0.272520i
\(396\) −103759. + 262783.i −0.661658 + 1.67574i
\(397\) −63147.6 22983.8i −0.400660 0.145828i 0.133828 0.991005i \(-0.457273\pi\)
−0.534487 + 0.845176i \(0.679495\pi\)
\(398\) −24773.8 44278.8i −0.156396 0.279531i
\(399\) 427151. 125489.i 2.68309 0.788240i
\(400\) 69768.3 + 137477.i 0.436052 + 0.859232i
\(401\) 85495.1 + 31117.7i 0.531683 + 0.193517i 0.593890 0.804547i \(-0.297592\pi\)
−0.0622067 + 0.998063i \(0.519814\pi\)
\(402\) 190399. + 233228.i 1.17818 + 1.44321i
\(403\) −101831. + 121357.i −0.627001 + 0.747231i
\(404\) −2780.23 18706.4i −0.0170341 0.114611i
\(405\) −2591.31 + 14696.0i −0.0157983 + 0.0895964i
\(406\) 259772. + 3505.62i 1.57594 + 0.0212673i
\(407\) 91113.5 52604.4i 0.550039 0.317565i
\(408\) −60050.3 + 19142.0i −0.360741 + 0.114992i
\(409\) 24830.4 9037.52i 0.148435 0.0540260i −0.266734 0.963770i \(-0.585945\pi\)
0.415169 + 0.909744i \(0.363722\pi\)
\(410\) −2509.75 1494.52i −0.0149301 0.00889065i
\(411\) 220967. + 127576.i 1.30811 + 0.755238i
\(412\) 68595.6 77407.0i 0.404112 0.456022i
\(413\) −255679. + 214540.i −1.49897 + 1.25779i
\(414\) 14411.2 75739.1i 0.0840815 0.441895i
\(415\) 6993.94 1233.22i 0.0406093 0.00716052i
\(416\) 118067. + 161708.i 0.682250 + 0.934425i
\(417\) 323245. 1.85891
\(418\) −56754.8 + 221023.i −0.324826 + 1.26498i
\(419\) 20145.4i 0.114749i −0.998353 0.0573744i \(-0.981727\pi\)
0.998353 0.0573744i \(-0.0182729\pi\)
\(420\) −73757.7 + 58572.2i −0.418127 + 0.332042i
\(421\) −42560.5 241373.i −0.240128 1.36183i −0.831541 0.555464i \(-0.812541\pi\)
0.591413 0.806369i \(-0.298570\pi\)
\(422\) 15304.6 80434.1i 0.0859402 0.451664i
\(423\) −129777. 154663.i −0.725301 0.864380i
\(424\) 157569. + 34411.7i 0.876473 + 0.191414i
\(425\) 21359.4 36995.5i 0.118252 0.204819i
\(426\) −367149. 218631.i −2.02312 1.20474i
\(427\) 39526.7 + 108599.i 0.216788 + 0.595619i
\(428\) 127205. + 25987.3i 0.694412 + 0.141864i
\(429\) −214489. 371506.i −1.16544 2.01860i
\(430\) 56960.1 + 768.674i 0.308059 + 0.00415724i
\(431\) −205916. 36308.6i −1.10850 0.195459i −0.410714 0.911764i \(-0.634721\pi\)
−0.697787 + 0.716305i \(0.745832\pi\)
\(432\) −42848.4 + 100492.i −0.229597 + 0.538475i
\(433\) 17929.7 + 15044.8i 0.0956305 + 0.0802435i 0.689349 0.724429i \(-0.257896\pi\)
−0.593719 + 0.804672i \(0.702341\pi\)
\(434\) 182058. + 223011.i 0.966562 + 1.18399i
\(435\) 16571.3 45529.2i 0.0875744 0.240609i
\(436\) 110337. 179728.i 0.580430 0.945459i
\(437\) 3940.68 62146.4i 0.0206352 0.325427i
\(438\) −35077.3 62694.5i −0.182843 0.326799i
\(439\) −28096.6 + 77194.7i −0.145789 + 0.400551i −0.990997 0.133886i \(-0.957254\pi\)
0.845208 + 0.534438i \(0.179477\pi\)
\(440\) −6452.03 47842.7i −0.0333266 0.247121i
\(441\) 469926. + 394315.i 2.41631 + 2.02752i
\(442\) 19677.2 51873.8i 0.100721 0.265524i
\(443\) 376011. + 66300.8i 1.91599 + 0.337840i 0.998239 0.0593202i \(-0.0188933\pi\)
0.917749 + 0.397161i \(0.130004\pi\)
\(444\) 130020. 70458.9i 0.659543 0.357413i
\(445\) 36495.7 + 63212.4i 0.184298 + 0.319214i
\(446\) 174212. + 150233.i 0.875806 + 0.755260i
\(447\) 60842.4 + 167163.i 0.304503 + 0.836614i
\(448\) 328787. 155846.i 1.63817 0.776496i
\(449\) −153913. + 266586.i −0.763455 + 1.32234i 0.177605 + 0.984102i \(0.443165\pi\)
−0.941060 + 0.338241i \(0.890168\pi\)
\(450\) −88637.7 254149.i −0.437717 1.25506i
\(451\) −15540.6 18520.5i −0.0764035 0.0910542i
\(452\) 168271. 56151.4i 0.823629 0.274842i
\(453\) −34430.8 195267.i −0.167784 0.951550i
\(454\) −40247.3 247759.i −0.195265 1.20204i
\(455\) 82907.6i 0.400471i
\(456\) −88130.2 + 308409.i −0.423834 + 1.48319i
\(457\) −176153. −0.843448 −0.421724 0.906724i \(-0.638575\pi\)
−0.421724 + 0.906724i \(0.638575\pi\)
\(458\) −65238.8 + 10597.8i −0.311011 + 0.0505223i
\(459\) 29811.5 5256.56i 0.141500 0.0249503i
\(460\) 4170.03 + 12496.5i 0.0197072 + 0.0590571i
\(461\) 148293. 124433.i 0.697783 0.585509i −0.223359 0.974736i \(-0.571702\pi\)
0.921142 + 0.389227i \(0.127258\pi\)
\(462\) −736072. + 256714.i −3.44855 + 1.20272i
\(463\) −312453. 180395.i −1.45755 0.841516i −0.458657 0.888613i \(-0.651669\pi\)
−0.998890 + 0.0470976i \(0.985003\pi\)
\(464\) −102196. + 156813.i −0.474677 + 0.728358i
\(465\) 50452.2 18363.1i 0.233332 0.0849258i
\(466\) −118028. + 136867.i −0.543519 + 0.630270i
\(467\) 70567.7 40742.3i 0.323573 0.186815i −0.329411 0.944187i \(-0.606850\pi\)
0.652984 + 0.757372i \(0.273517\pi\)
\(468\) −166553. 307345.i −0.760433 1.40325i
\(469\) −83631.4 + 474297.i −0.380210 + 2.15628i
\(470\) 32256.0 + 12235.6i 0.146021 + 0.0553898i
\(471\) −125233. + 149247.i −0.564517 + 0.672765i
\(472\) −32138.2 238309.i −0.144257 1.06969i
\(473\) 443056. + 161259.i 1.98032 + 0.720779i
\(474\) −563548. + 315303.i −2.50827 + 1.40337i
\(475\) −96567.7 194775.i −0.428001 0.863270i
\(476\) −85921.6 52748.4i −0.379218 0.232807i
\(477\) −264604. 96308.0i −1.16295 0.423278i
\(478\) −226675. + 185048.i −0.992082 + 0.809896i
\(479\) 179755. 214224.i 0.783450 0.933679i −0.215634 0.976474i \(-0.569182\pi\)
0.999084 + 0.0427953i \(0.0136263\pi\)
\(480\) −7251.10 67468.9i −0.0314718 0.292834i
\(481\) −22604.8 + 128198.i −0.0977036 + 0.554105i
\(482\) 4944.79 366418.i 0.0212840 1.57718i
\(483\) 184230. 106365.i 0.789709 0.455938i
\(484\) 33089.1 161968.i 0.141252 0.691414i
\(485\) 11124.3 4048.91i 0.0472922 0.0172129i
\(486\) −159569. + 267964.i −0.675577 + 1.13450i
\(487\) −107373. 61992.0i −0.452729 0.261383i 0.256253 0.966610i \(-0.417512\pi\)
−0.708982 + 0.705226i \(0.750845\pi\)
\(488\) −81345.8 17765.2i −0.341582 0.0745986i
\(489\) 165187. 138608.i 0.690808 0.579657i
\(490\) −102973. 19593.2i −0.428876 0.0816042i
\(491\) 86033.3 15170.0i 0.356865 0.0629249i 0.00765821 0.999971i \(-0.497562\pi\)
0.349206 + 0.937046i \(0.386451\pi\)
\(492\) −21133.7 26612.8i −0.0873061 0.109941i
\(493\) 51864.7 0.213392
\(494\) −164355. 229580.i −0.673485 0.940762i
\(495\) 84285.4i 0.343987i
\(496\) −205908. + 24944.5i −0.836969 + 0.101394i
\(497\) −118697. 673164.i −0.480537 2.72526i
\(498\) 81166.8 + 15444.0i 0.327280 + 0.0622731i
\(499\) 236595. + 281963.i 0.950178 + 1.13238i 0.991087 + 0.133215i \(0.0425302\pi\)
−0.0409091 + 0.999163i \(0.513025\pi\)
\(500\) 70145.5 + 62160.7i 0.280582 + 0.248643i
\(501\) −17.6283 + 30.5332i −7.02321e−5 + 0.000121646i
\(502\) 52544.0 88237.4i 0.208505 0.350143i
\(503\) 118577. + 325786.i 0.468665 + 1.28765i 0.918813 + 0.394693i \(0.129149\pi\)
−0.450147 + 0.892954i \(0.648629\pi\)
\(504\) −605249. + 192933.i −2.38272 + 0.759531i
\(505\) −2820.97 4886.06i −0.0110615 0.0191591i
\(506\) −1471.32 + 109028.i −0.00574655 + 0.425829i
\(507\) 132226. + 23314.9i 0.514399 + 0.0907023i
\(508\) 269097. 39994.4i 1.04275 0.154979i
\(509\) 21418.7 + 17972.5i 0.0826720 + 0.0693700i 0.683187 0.730243i \(-0.260593\pi\)
−0.600515 + 0.799613i \(0.705038\pi\)
\(510\) −14565.6 + 11890.8i −0.0559999 + 0.0457161i
\(511\) 39304.4 107988.i 0.150522 0.413556i
\(512\) −31758.5 + 260213.i −0.121149 + 0.992634i
\(513\) 61745.0 141139.i 0.234621 0.536306i
\(514\) −224202. + 125440.i −0.848619 + 0.474799i
\(515\) 10553.1 28994.4i 0.0397893 0.109320i
\(516\) 616425. + 243392.i 2.31516 + 0.914128i
\(517\) 218735. + 183541.i 0.818348 + 0.686675i
\(518\) 221182. + 83900.6i 0.824310 + 0.312684i
\(519\) 318820. + 56216.6i 1.18362 + 0.208703i
\(520\) 50478.5 + 31935.2i 0.186681 + 0.118103i
\(521\) 99974.9 + 173162.i 0.368312 + 0.637935i 0.989302 0.145884i \(-0.0466026\pi\)
−0.620990 + 0.783819i \(0.713269\pi\)
\(522\) 213416. 247479.i 0.783222 0.908232i
\(523\) −62786.5 172504.i −0.229542 0.630662i 0.770434 0.637520i \(-0.220039\pi\)
−0.999976 + 0.00685720i \(0.997817\pi\)
\(524\) −1572.85 + 58265.0i −0.00572830 + 0.212200i
\(525\) 371341. 643181.i 1.34727 2.33354i
\(526\) −272185. + 94928.0i −0.983769 + 0.343102i
\(527\) 36942.8 + 44026.7i 0.133017 + 0.158524i
\(528\) 127227. 547043.i 0.456363 1.96225i
\(529\) 43427.0 + 246287.i 0.155184 + 0.880095i
\(530\) 47492.5 7714.95i 0.169073 0.0274651i
\(531\) 419833.i 1.48898i
\(532\) −465676. + 215423.i −1.64536 + 0.761149i
\(533\) 29914.2 0.105299
\(534\) 136161. + 838198.i 0.477498 + 2.93944i
\(535\) 38144.2 6725.85i 0.133266 0.0234985i
\(536\) −256563. 233614.i −0.893026 0.813146i
\(537\) −449658. + 377308.i −1.55931 + 1.30842i
\(538\) −82647.9 236975.i −0.285540 0.818724i
\(539\) −751345. 433789.i −2.58620 1.49314i
\(540\) −879.472 + 32579.3i −0.00301602 + 0.111726i
\(541\) −395206. + 143843.i −1.35030 + 0.491467i −0.913040 0.407870i \(-0.866272\pi\)
−0.437255 + 0.899337i \(0.644049\pi\)
\(542\) 45749.0 + 39452.1i 0.155734 + 0.134299i
\(543\) 166326. 96028.3i 0.564106 0.325686i
\(544\) 65212.1 31995.4i 0.220359 0.108116i
\(545\) 10925.2 61959.8i 0.0367820 0.208601i
\(546\) 342096. 901847.i 1.14753 3.02515i
\(547\) 96246.1 114702.i 0.321668 0.383350i −0.580843 0.814016i \(-0.697277\pi\)
0.902511 + 0.430666i \(0.141721\pi\)
\(548\) −273510. 107994.i −0.910777 0.359615i
\(549\) 136603. + 49719.5i 0.453227 + 0.164961i
\(550\) 185869. + 332208.i 0.614443 + 1.09821i
\(551\) 146173. 219773.i 0.481465 0.723889i
\(552\) −6202.86 + 153140.i −0.0203570 + 0.502586i
\(553\) −970682. 353299.i −3.17414 1.15529i
\(554\) −100384. 122966.i −0.327075 0.400650i
\(555\) 28358.4 33796.2i 0.0920651 0.109719i
\(556\) −368488. + 54766.4i −1.19199 + 0.177159i
\(557\) −59145.0 + 335428.i −0.190637 + 1.08116i 0.727859 + 0.685727i \(0.240515\pi\)
−0.918496 + 0.395430i \(0.870596\pi\)
\(558\) 362092. + 4886.42i 1.16292 + 0.0156936i
\(559\) −505222. + 291690.i −1.61681 + 0.933465i
\(560\) 74157.4 79266.8i 0.236471 0.252764i
\(561\) −146242. + 53227.7i −0.464671 + 0.169127i
\(562\) 145817. + 86831.7i 0.461674 + 0.274920i
\(563\) 362243. + 209141.i 1.14283 + 0.659815i 0.947131 0.320848i \(-0.103968\pi\)
0.195703 + 0.980663i \(0.437301\pi\)
\(564\) 300385. + 266192.i 0.944323 + 0.836828i
\(565\) 40539.8 34017.0i 0.126995 0.106561i
\(566\) 112948. 593607.i 0.352571 1.85296i
\(567\) −273497. + 48225.0i −0.850721 + 0.150005i
\(568\) 455578. + 187027.i 1.41210 + 0.579707i
\(569\) 79014.3 0.244051 0.122026 0.992527i \(-0.461061\pi\)
0.122026 + 0.992527i \(0.461061\pi\)
\(570\) 9335.34 + 95233.2i 0.0287330 + 0.293115i
\(571\) 115354.i 0.353803i −0.984229 0.176902i \(-0.943393\pi\)
0.984229 0.176902i \(-0.0566074\pi\)
\(572\) 307453. + 387163.i 0.939694 + 1.18332i
\(573\) 84952.1 + 481787.i 0.258741 + 1.46739i
\(574\) 10161.3 53403.1i 0.0308407 0.162085i
\(575\) −66772.9 79576.8i −0.201960 0.240686i
\(576\) 115668. 442823.i 0.348634 1.33471i
\(577\) −248819. + 430968.i −0.747364 + 1.29447i 0.201718 + 0.979444i \(0.435348\pi\)
−0.949082 + 0.315029i \(0.897986\pi\)
\(578\) 269751. + 160633.i 0.807435 + 0.480816i
\(579\) −201358. 553225.i −0.600635 1.65023i
\(580\) −11176.8 + 54709.3i −0.0332247 + 0.162632i
\(581\) 66083.5 + 114460.i 0.195768 + 0.339079i
\(582\) 137714. + 1858.44i 0.406567 + 0.00548660i
\(583\) 392189. + 69153.5i 1.15387 + 0.203459i
\(584\) 50609.1 + 65526.5i 0.148389 + 0.192128i
\(585\) −79888.6 67034.5i −0.233439 0.195878i
\(586\) −396845. 486115.i −1.15565 1.41561i
\(587\) 3398.54 9337.41i 0.00986316 0.0270988i −0.934663 0.355534i \(-0.884299\pi\)
0.944527 + 0.328435i \(0.106521\pi\)
\(588\) −1.03927e6 638020.i −3.00589 1.84535i
\(589\) 290678. 32459.7i 0.837880 0.0935651i
\(590\) −35027.3 62605.1i −0.100624 0.179848i
\(591\) 225144. 618579.i 0.644594 1.77101i
\(592\) −136280. + 102349.i −0.388856 + 0.292040i
\(593\) −115604. 97003.5i −0.328749 0.275853i 0.463441 0.886128i \(-0.346615\pi\)
−0.792190 + 0.610275i \(0.791059\pi\)
\(594\) −95672.1 + 252214.i −0.271152 + 0.714820i
\(595\) −29620.8 5222.95i −0.0836687 0.0147530i
\(596\) −97680.1 180252.i −0.274988 0.507442i
\(597\) −88049.8 152507.i −0.247047 0.427898i
\(598\) −102170. 88107.3i −0.285707 0.246382i
\(599\) 14165.8 + 38920.3i 0.0394810 + 0.108473i 0.957867 0.287213i \(-0.0927289\pi\)
−0.918386 + 0.395687i \(0.870507\pi\)
\(600\) 248565. + 473839.i 0.690460 + 1.31622i
\(601\) 150495. 260665.i 0.416651 0.721661i −0.578949 0.815364i \(-0.696537\pi\)
0.995600 + 0.0937028i \(0.0298704\pi\)
\(602\) 349113. + 1.00101e6i 0.963327 + 2.76213i
\(603\) 389406. + 464076.i 1.07095 + 1.27631i
\(604\) 72333.3 + 216764.i 0.198273 + 0.594173i
\(605\) −8563.90 48568.3i −0.0233970 0.132691i
\(606\) −10524.7 64789.2i −0.0286593 0.176424i
\(607\) 545441.i 1.48037i −0.672403 0.740185i \(-0.734738\pi\)
0.672403 0.740185i \(-0.265262\pi\)
\(608\) 48212.7 366506.i 0.130423 0.991458i
\(609\) 901689. 2.43121
\(610\) −24518.3 + 3982.88i −0.0658917 + 0.0107038i
\(611\) −347933. + 61349.9i −0.931993 + 0.164336i
\(612\) −120299. + 40143.4i −0.321188 + 0.107179i
\(613\) 31517.7 26446.5i 0.0838751 0.0703795i −0.599886 0.800085i \(-0.704787\pi\)
0.683761 + 0.729706i \(0.260343\pi\)
\(614\) −245544. + 85636.4i −0.651317 + 0.227155i
\(615\) −8779.94 5069.10i −0.0232135 0.0134023i
\(616\) 795602. 417356.i 2.09669 1.09988i
\(617\) 30420.1 11072.0i 0.0799081 0.0290842i −0.301757 0.953385i \(-0.597573\pi\)
0.381665 + 0.924301i \(0.375351\pi\)
\(618\) 234432. 271849.i 0.613818 0.711789i
\(619\) −55265.1 + 31907.3i −0.144235 + 0.0832739i −0.570381 0.821381i \(-0.693204\pi\)
0.426146 + 0.904654i \(0.359871\pi\)
\(620\) −54402.5 + 29481.2i −0.141526 + 0.0766941i
\(621\) 12782.5 72493.3i 0.0331462 0.187981i
\(622\) −567330. 215204.i −1.46641 0.556250i
\(623\) −873156. + 1.04059e6i −2.24965 + 2.68103i
\(624\) 417319. + 555668.i 1.07176 + 1.42707i
\(625\) −327412. 119168.i −0.838174 0.305070i
\(626\) 312732. 174972.i 0.798037 0.446499i
\(627\) −186613. + 769705.i −0.474686 + 1.95789i
\(628\) 117475. 191354.i 0.297869 0.485197i
\(629\) 44378.0 + 16152.3i 0.112167 + 0.0408255i
\(630\) −146807. + 119847.i −0.369884 + 0.301959i
\(631\) −103973. + 123911.i −0.261134 + 0.311207i −0.880641 0.473784i \(-0.842888\pi\)
0.619508 + 0.784991i \(0.287332\pi\)
\(632\) 589004. 454914.i 1.47463 1.13893i
\(633\) 49346.6 279858.i 0.123154 0.698443i
\(634\) −7483.85 + 554567.i −0.0186186 + 1.37967i
\(635\) 70287.3 40580.4i 0.174313 0.100640i
\(636\) 548445. + 112044.i 1.35587 + 0.276997i
\(637\) 1.00873e6 367146.i 2.48596 0.904816i
\(638\) −236465. + 397097.i −0.580933 + 0.975563i
\(639\) −744624. 429909.i −1.82362 1.05287i
\(640\) 19697.1 + 75683.7i 0.0480885 + 0.184775i
\(641\) −382287. + 320776.i −0.930407 + 0.780704i −0.975890 0.218261i \(-0.929962\pi\)
0.0454835 + 0.998965i \(0.485517\pi\)
\(642\) 442675. + 84229.8i 1.07403 + 0.204360i
\(643\) 782765. 138023.i 1.89326 0.333832i 0.898746 0.438469i \(-0.144479\pi\)
0.994510 + 0.104637i \(0.0333681\pi\)
\(644\) −191995. + 152466.i −0.462933 + 0.367623i
\(645\) 197713. 0.475242
\(646\) −92377.0 + 44256.9i −0.221360 + 0.106051i
\(647\) 125497.i 0.299795i −0.988702 0.149898i \(-0.952106\pi\)
0.988702 0.149898i \(-0.0478944\pi\)
\(648\) 75986.6 185095.i 0.180962 0.440804i
\(649\) −103105. 584738.i −0.244789 1.38826i
\(650\) −462705. 88041.1i −1.09516 0.208381i
\(651\) 642265. + 765421.i 1.51549 + 1.80609i
\(652\) −164823. + 185995.i −0.387724 + 0.437529i
\(653\) 105347. 182467.i 0.247057 0.427916i −0.715651 0.698458i \(-0.753870\pi\)
0.962708 + 0.270543i \(0.0872031\pi\)
\(654\) 374502. 628903.i 0.875586 1.47037i
\(655\) 5947.18 + 16339.7i 0.0138621 + 0.0380858i
\(656\) 28600.6 + 26757.0i 0.0664610 + 0.0621771i
\(657\) −72276.4 125186.i −0.167442 0.290019i
\(658\) −8663.38 + 641971.i −0.0200095 + 1.48274i
\(659\) −60349.8 10641.3i −0.138965 0.0245033i 0.103733 0.994605i \(-0.466921\pi\)
−0.242698 + 0.970102i \(0.578032\pi\)
\(660\) −24632.0 165733.i −0.0565474 0.380471i
\(661\) 527627. + 442732.i 1.20760 + 1.01330i 0.999380 + 0.0352177i \(0.0112125\pi\)
0.208223 + 0.978081i \(0.433232\pi\)
\(662\) 373752. 305117.i 0.852840 0.696225i
\(663\) 65859.2 180947.i 0.149827 0.411645i
\(664\) −95143.9 3853.76i −0.215797 0.00874075i
\(665\) −105614. + 110796.i −0.238824 + 0.250542i
\(666\) 259681. 145291.i 0.585453 0.327558i
\(667\) 43135.8 118515.i 0.0969587 0.266392i
\(668\) 14.9225 37.7934i 3.34418e−5 8.46961e-5i
\(669\) 611628. + 513217.i 1.36658 + 1.14670i
\(670\) −96786.4 36713.8i −0.215608 0.0817862i
\(671\) −202470. 35700.9i −0.449692 0.0792928i
\(672\) 1.13374e6 556252.i 2.51058 1.23178i
\(673\) −32039.1 55493.3i −0.0707375 0.122521i 0.828487 0.560008i \(-0.189202\pi\)
−0.899225 + 0.437487i \(0.855869\pi\)
\(674\) −190035. + 220366.i −0.418325 + 0.485093i
\(675\) −87896.2 241493.i −0.192913 0.530025i
\(676\) −154683. 4175.63i −0.338492 0.00913753i
\(677\) 123678. 214217.i 0.269846 0.467386i −0.698976 0.715145i \(-0.746361\pi\)
0.968822 + 0.247759i \(0.0796940\pi\)
\(678\) 581344. 202751.i 1.26466 0.441065i
\(679\) 141614. + 168769.i 0.307162 + 0.366061i
\(680\) 14589.6 16022.9i 0.0315520 0.0346515i
\(681\) −151279. 857947.i −0.326201 1.84998i
\(682\) −505518. + 82119.1i −1.08685 + 0.176553i
\(683\) 530571.i 1.13737i 0.822555 + 0.568685i \(0.192548\pi\)
−0.822555 + 0.568685i \(0.807452\pi\)
\(684\) −168941. + 622898.i −0.361095 + 1.33139i
\(685\) −87725.7 −0.186959
\(686\) −175993. 1.08340e6i −0.373980 2.30219i
\(687\) −225911. + 39834.2i −0.478657 + 0.0844001i
\(688\) −743940. 173019.i −1.57167 0.365526i
\(689\) −377465. + 316731.i −0.795130 + 0.667193i
\(690\) 15057.1 + 43173.0i 0.0316259 + 0.0906805i
\(691\) 106722. + 61616.0i 0.223511 + 0.129044i 0.607575 0.794263i \(-0.292143\pi\)
−0.384064 + 0.923306i \(0.625476\pi\)
\(692\) −372968. 10068.2i −0.778860 0.0210252i
\(693\) −1.47398e6 + 536484.i −3.06919 + 1.11709i
\(694\) 254191. + 219204.i 0.527766 + 0.455124i
\(695\) −96248.0 + 55568.8i −0.199261 + 0.115043i
\(696\) −347321. + 548995.i −0.716990 + 1.13331i
\(697\) 1884.51 10687.6i 0.00387912 0.0219996i
\(698\) 34011.2 89661.6i 0.0698089 0.184033i
\(699\) −403201. + 480516.i −0.825215 + 0.983452i
\(700\) −314343. + 796119.i −0.641517 + 1.62473i
\(701\) −892572. 324870.i −1.81638 0.661109i −0.996006 0.0892833i \(-0.971542\pi\)
−0.820375 0.571826i \(-0.806235\pi\)
\(702\) −162967. 291274.i −0.330693 0.591055i
\(703\) 193517. 142526.i 0.391569 0.288392i
\(704\) −52350.1 + 645165.i −0.105626 + 1.30174i
\(705\) 112516. + 40952.3i 0.226378 + 0.0823949i
\(706\) −172376. 211152.i −0.345834 0.423629i
\(707\) 67491.3 80433.0i 0.135023 0.160915i
\(708\) −122694. 825532.i −0.244770 1.64690i
\(709\) 74792.2 424168.i 0.148787 0.843811i −0.815462 0.578811i \(-0.803517\pi\)
0.964248 0.265000i \(-0.0853719\pi\)
\(710\) 146905. + 1982.48i 0.291421 + 0.00393271i
\(711\) −1.12527e6 + 649677.i −2.22597 + 1.28516i
\(712\) −297232. 932446.i −0.586322 1.83935i
\(713\) 131330. 47800.0i 0.258335 0.0940263i
\(714\) −300656. 179036.i −0.589758 0.351192i
\(715\) 127731. + 73745.3i 0.249852 + 0.144252i
\(716\) 448668. 506302.i 0.875183 0.987605i
\(717\) −777995. + 652815.i −1.51335 + 1.26985i
\(718\) −79117.8 + 415809.i −0.153471 + 0.806575i
\(719\) 269905. 47591.5i 0.522099 0.0920602i 0.0936132 0.995609i \(-0.470158\pi\)
0.428486 + 0.903548i \(0.359047\pi\)
\(720\) −16420.8 135548.i −0.0316759 0.261473i
\(721\) 574224. 1.10461
\(722\) −72815.8 + 516173.i −0.139686 + 0.990196i
\(723\) 1.27186e6i 2.43312i
\(724\) −173336. + 137649.i −0.330683 + 0.262601i
\(725\) −76459.1 433621.i −0.145463 0.824963i
\(726\) 107248. 563649.i 0.203478 1.06939i
\(727\) −612163. 729547.i −1.15824 1.38033i −0.911524 0.411247i \(-0.865094\pi\)
−0.246714 0.969088i \(-0.579351\pi\)
\(728\) −237180. + 1.08603e6i −0.447524 + 2.04918i
\(729\) −414607. + 718121.i −0.780157 + 1.35127i
\(730\) 21222.2 + 12637.5i 0.0398241 + 0.0237146i
\(731\) 72385.9 + 198879.i 0.135463 + 0.372180i
\(732\) −283138. 57843.4i −0.528416 0.107952i
\(733\) −19022.2 32947.5i −0.0354041 0.0613217i 0.847780 0.530347i \(-0.177938\pi\)
−0.883185 + 0.469026i \(0.844605\pi\)
\(734\) −180422. 2434.79i −0.334887 0.00451929i
\(735\) −358279. 63174.3i −0.663204 0.116941i
\(736\) −18875.0 175625.i −0.0348442 0.324213i
\(737\) −656331. 550727.i −1.20834 1.01391i
\(738\) −43242.6 52970.0i −0.0793961 0.0972562i
\(739\) −30395.5 + 83511.0i −0.0556571 + 0.152917i −0.964405 0.264428i \(-0.914817\pi\)
0.908748 + 0.417344i \(0.137039\pi\)
\(740\) −26601.5 + 43331.1i −0.0485784 + 0.0791291i
\(741\) −581135. 789046.i −1.05838 1.43703i
\(742\) 437213. + 781440.i 0.794118 + 1.41934i
\(743\) 133636. 367161.i 0.242072 0.665088i −0.757848 0.652432i \(-0.773749\pi\)
0.999920 0.0126566i \(-0.00402883\pi\)
\(744\) −713422. + 96211.6i −1.28885 + 0.173813i
\(745\) −46853.1 39314.4i −0.0844161 0.0708335i
\(746\) −50545.5 + 133250.i −0.0908249 + 0.239436i
\(747\) 163724. + 28868.9i 0.293407 + 0.0517355i
\(748\) 157692. 85455.0i 0.281843 0.152733i
\(749\) 360412. + 624253.i 0.642445 + 1.11275i
\(750\) 246347. + 212440.i 0.437950 + 0.377671i
\(751\) −64897.7 178305.i −0.115067 0.316143i 0.868769 0.495218i \(-0.164912\pi\)
−0.983835 + 0.179075i \(0.942690\pi\)
\(752\) −387529. 252556.i −0.685280 0.446603i
\(753\) 178218. 308683.i 0.314313 0.544407i
\(754\) −188315. 539952.i −0.331239 0.949757i
\(755\) 43820.1 + 52222.8i 0.0768740 + 0.0916149i
\(756\) −575342. + 191990.i −1.00666 + 0.335919i
\(757\) 100941. + 572465.i 0.176147 + 0.998982i 0.936811 + 0.349836i \(0.113763\pi\)
−0.760664 + 0.649146i \(0.775126\pi\)
\(758\) −19370.9 119246.i −0.0337141 0.207541i
\(759\) 378443.i 0.656927i
\(760\) −26777.0 106981.i −0.0463591 0.185216i
\(761\) −598676. −1.03377 −0.516883 0.856056i \(-0.672908\pi\)
−0.516883 + 0.856056i \(0.672908\pi\)
\(762\) 932011. 151401.i 1.60513 0.260747i
\(763\) 1.15309e6 203321.i 1.98068 0.349247i
\(764\) −178470. 534827.i −0.305759 0.916277i
\(765\) −28982.5 + 24319.2i −0.0495237 + 0.0415553i
\(766\) 678777. 236732.i 1.15683 0.403459i
\(767\) 636238. + 367332.i 1.08151 + 0.624407i
\(768\) −98029.2 + 904542.i −0.166201 + 1.53358i
\(769\) 474291. 172628.i 0.802033 0.291916i 0.0917044 0.995786i \(-0.470769\pi\)
0.710329 + 0.703870i \(0.248546\pi\)
\(770\) 175038. 202976.i 0.295224 0.342344i