Properties

Label 177.4.f.a.2.11
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.11
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.212337 + 3.91633i) q^{2} +(4.58888 + 2.43766i) q^{3} +(-7.33945 - 0.798213i) q^{4} +(-0.421405 + 1.25069i) q^{5} +(-10.5211 + 17.4540i) q^{6} +(-5.56806 - 8.21227i) q^{7} +(-0.391673 + 2.38910i) q^{8} +(15.1156 + 22.3723i) q^{9} +O(q^{10})\) \(q+(-0.212337 + 3.91633i) q^{2} +(4.58888 + 2.43766i) q^{3} +(-7.33945 - 0.798213i) q^{4} +(-0.421405 + 1.25069i) q^{5} +(-10.5211 + 17.4540i) q^{6} +(-5.56806 - 8.21227i) q^{7} +(-0.391673 + 2.38910i) q^{8} +(15.1156 + 22.3723i) q^{9} +(-4.80862 - 1.91593i) q^{10} +(-29.8877 + 6.57879i) q^{11} +(-31.7341 - 21.5540i) q^{12} +(-45.8339 + 38.9317i) q^{13} +(33.3443 - 20.0626i) q^{14} +(-4.98253 + 4.71200i) q^{15} +(-66.9543 - 14.7378i) q^{16} +(23.9808 + 16.2594i) q^{17} +(-90.8268 + 54.4472i) q^{18} +(-4.96284 + 9.36091i) q^{19} +(4.09119 - 8.84297i) q^{20} +(-5.53239 - 51.2581i) q^{21} +(-19.4184 - 118.447i) q^{22} +(-105.362 + 99.8043i) q^{23} +(-7.62116 + 10.0085i) q^{24} +(98.1250 + 74.5927i) q^{25} +(-142.737 - 187.767i) q^{26} +(14.8276 + 139.510i) q^{27} +(34.3113 + 64.7180i) q^{28} +(169.586 - 9.19467i) q^{29} +(-17.3958 - 20.5137i) q^{30} +(250.261 - 132.680i) q^{31} +(66.7534 - 240.424i) q^{32} +(-153.188 - 42.6670i) q^{33} +(-68.7690 + 90.4641i) q^{34} +(12.6174 - 3.50320i) q^{35} +(-93.0823 - 176.266i) q^{36} +(48.5555 - 7.96027i) q^{37} +(-35.6066 - 21.4238i) q^{38} +(-305.228 + 66.9250i) q^{39} +(-2.82296 - 1.49664i) q^{40} +(-9.02334 + 9.52583i) q^{41} +(201.919 - 10.7826i) q^{42} +(31.5889 - 143.510i) q^{43} +(224.611 - 24.4279i) q^{44} +(-34.3505 + 9.47707i) q^{45} +(-368.494 - 433.825i) q^{46} +(-45.7811 + 15.4254i) q^{47} +(-271.320 - 230.842i) q^{48} +(90.5193 - 227.186i) q^{49} +(-312.965 + 368.451i) q^{50} +(70.4099 + 133.069i) q^{51} +(367.471 - 249.152i) q^{52} +(461.691 - 183.954i) q^{53} +(-549.517 + 28.4464i) q^{54} +(4.36684 - 40.1525i) q^{55} +(21.8008 - 10.0861i) q^{56} +(-45.5926 + 30.8584i) q^{57} +666.106i q^{58} +(76.9113 + 446.614i) q^{59} +(40.3302 - 30.6064i) q^{60} +(257.375 + 13.9544i) q^{61} +(466.478 + 1008.28i) q^{62} +(99.5626 - 248.703i) q^{63} +(407.658 + 137.356i) q^{64} +(-29.3766 - 73.7298i) q^{65} +(199.625 - 590.875i) q^{66} +(-854.206 - 140.040i) q^{67} +(-163.027 - 138.477i) q^{68} +(-726.783 + 201.152i) q^{69} +(11.0405 + 50.1577i) q^{70} +(312.774 + 928.280i) q^{71} +(-59.3700 + 27.3501i) q^{72} +(35.8464 + 59.5772i) q^{73} +(20.8649 + 191.850i) q^{74} +(268.452 + 581.492i) q^{75} +(43.8965 - 64.7426i) q^{76} +(220.443 + 208.815i) q^{77} +(-197.289 - 1209.59i) q^{78} +(779.593 + 360.678i) q^{79} +(46.6472 - 77.5282i) q^{80} +(-272.037 + 676.341i) q^{81} +(-35.3903 - 37.3611i) q^{82} +(-68.8005 - 247.797i) q^{83} +(-0.310255 + 380.623i) q^{84} +(-30.4410 + 23.1406i) q^{85} +(555.324 + 154.185i) q^{86} +(800.622 + 371.200i) q^{87} +(-4.01116 - 73.9815i) q^{88} +(52.8635 + 975.010i) q^{89} +(-29.8215 - 136.540i) q^{90} +(574.923 + 159.627i) q^{91} +(852.965 - 648.407i) q^{92} +(1471.84 + 1.19974i) q^{93} +(-50.6901 - 182.569i) q^{94} +(-9.61619 - 10.1517i) q^{95} +(892.395 - 940.554i) q^{96} +(229.605 - 381.607i) q^{97} +(870.516 + 402.743i) q^{98} +(-598.953 - 569.214i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.212337 + 3.91633i −0.0750726 + 1.38463i 0.682024 + 0.731329i \(0.261100\pi\)
−0.757097 + 0.653302i \(0.773383\pi\)
\(3\) 4.58888 + 2.43766i 0.883130 + 0.469128i
\(4\) −7.33945 0.798213i −0.917431 0.0997767i
\(5\) −0.421405 + 1.25069i −0.0376916 + 0.111865i −0.964847 0.262813i \(-0.915350\pi\)
0.927155 + 0.374677i \(0.122246\pi\)
\(6\) −10.5211 + 17.4540i −0.715869 + 1.18759i
\(7\) −5.56806 8.21227i −0.300647 0.443421i 0.647118 0.762389i \(-0.275974\pi\)
−0.947765 + 0.318969i \(0.896664\pi\)
\(8\) −0.391673 + 2.38910i −0.0173097 + 0.105584i
\(9\) 15.1156 + 22.3723i 0.559837 + 0.828603i
\(10\) −4.80862 1.91593i −0.152062 0.0605870i
\(11\) −29.8877 + 6.57879i −0.819226 + 0.180325i −0.604762 0.796406i \(-0.706732\pi\)
−0.214464 + 0.976732i \(0.568801\pi\)
\(12\) −31.7341 21.5540i −0.763403 0.518509i
\(13\) −45.8339 + 38.9317i −0.977849 + 0.830592i −0.985551 0.169378i \(-0.945824\pi\)
0.00770232 + 0.999970i \(0.497548\pi\)
\(14\) 33.3443 20.0626i 0.636545 0.382996i
\(15\) −4.98253 + 4.71200i −0.0857655 + 0.0811089i
\(16\) −66.9543 14.7378i −1.04616 0.230278i
\(17\) 23.9808 + 16.2594i 0.342129 + 0.231969i 0.720135 0.693834i \(-0.244080\pi\)
−0.378006 + 0.925803i \(0.623390\pi\)
\(18\) −90.8268 + 54.4472i −1.18934 + 0.712963i
\(19\) −4.96284 + 9.36091i −0.0599239 + 0.113028i −0.911665 0.410935i \(-0.865202\pi\)
0.851741 + 0.523963i \(0.175547\pi\)
\(20\) 4.09119 8.84297i 0.0457409 0.0988674i
\(21\) −5.53239 51.2581i −0.0574888 0.532640i
\(22\) −19.4184 118.447i −0.188183 1.14786i
\(23\) −105.362 + 99.8043i −0.955196 + 0.904810i −0.995537 0.0943760i \(-0.969914\pi\)
0.0403403 + 0.999186i \(0.487156\pi\)
\(24\) −7.62116 + 10.0085i −0.0648193 + 0.0851242i
\(25\) 98.1250 + 74.5927i 0.785000 + 0.596741i
\(26\) −142.737 187.767i −1.07665 1.41632i
\(27\) 14.8276 + 139.510i 0.105688 + 0.994399i
\(28\) 34.3113 + 64.7180i 0.231580 + 0.436806i
\(29\) 169.586 9.19467i 1.08591 0.0588761i 0.497517 0.867454i \(-0.334245\pi\)
0.588389 + 0.808578i \(0.299762\pi\)
\(30\) −17.3958 20.5137i −0.105867 0.124843i
\(31\) 250.261 132.680i 1.44994 0.768710i 0.457243 0.889342i \(-0.348837\pi\)
0.992697 + 0.120632i \(0.0384921\pi\)
\(32\) 66.7534 240.424i 0.368764 1.32817i
\(33\) −153.188 42.6670i −0.808079 0.225072i
\(34\) −68.7690 + 90.4641i −0.346876 + 0.456308i
\(35\) 12.6174 3.50320i 0.0609350 0.0169185i
\(36\) −93.0823 176.266i −0.430937 0.816045i
\(37\) 48.5555 7.96027i 0.215742 0.0353692i −0.0529413 0.998598i \(-0.516860\pi\)
0.268684 + 0.963228i \(0.413411\pi\)
\(38\) −35.6066 21.4238i −0.152004 0.0914579i
\(39\) −305.228 + 66.9250i −1.25322 + 0.274784i
\(40\) −2.82296 1.49664i −0.0111587 0.00591598i
\(41\) −9.02334 + 9.52583i −0.0343710 + 0.0362850i −0.742954 0.669342i \(-0.766576\pi\)
0.708583 + 0.705627i \(0.249335\pi\)
\(42\) 201.919 10.7826i 0.741826 0.0396142i
\(43\) 31.5889 143.510i 0.112029 0.508954i −0.886869 0.462021i \(-0.847124\pi\)
0.998898 0.0469327i \(-0.0149446\pi\)
\(44\) 224.611 24.4279i 0.769576 0.0836964i
\(45\) −34.3505 + 9.47707i −0.113793 + 0.0313946i
\(46\) −368.494 433.825i −1.18112 1.39052i
\(47\) −45.7811 + 15.4254i −0.142082 + 0.0478730i −0.389444 0.921050i \(-0.627333\pi\)
0.247362 + 0.968923i \(0.420436\pi\)
\(48\) −271.320 230.842i −0.815867 0.694149i
\(49\) 90.5193 227.186i 0.263905 0.662351i
\(50\) −312.965 + 368.451i −0.885199 + 1.04214i
\(51\) 70.4099 + 133.069i 0.193321 + 0.365361i
\(52\) 367.471 249.152i 0.979983 0.664445i
\(53\) 461.691 183.954i 1.19657 0.476756i 0.315127 0.949050i \(-0.397953\pi\)
0.881442 + 0.472293i \(0.156574\pi\)
\(54\) −549.517 + 28.4464i −1.38481 + 0.0716864i
\(55\) 4.36684 40.1525i 0.0107059 0.0984392i
\(56\) 21.8008 10.0861i 0.0520224 0.0240681i
\(57\) −45.5926 + 30.8584i −0.105945 + 0.0717068i
\(58\) 666.106i 1.50800i
\(59\) 76.9113 + 446.614i 0.169712 + 0.985494i
\(60\) 40.3302 30.6064i 0.0867767 0.0658544i
\(61\) 257.375 + 13.9544i 0.540220 + 0.0292899i 0.322231 0.946661i \(-0.395567\pi\)
0.217990 + 0.975951i \(0.430050\pi\)
\(62\) 466.478 + 1008.28i 0.955529 + 2.06534i
\(63\) 99.5626 248.703i 0.199107 0.497360i
\(64\) 407.658 + 137.356i 0.796207 + 0.268273i
\(65\) −29.3766 73.7298i −0.0560573 0.140693i
\(66\) 199.625 590.875i 0.372306 1.10199i
\(67\) −854.206 140.040i −1.55758 0.255352i −0.679431 0.733740i \(-0.737773\pi\)
−0.878149 + 0.478388i \(0.841221\pi\)
\(68\) −163.027 138.477i −0.290734 0.246952i
\(69\) −726.783 + 201.152i −1.26803 + 0.350955i
\(70\) 11.0405 + 50.1577i 0.0188514 + 0.0856427i
\(71\) 312.774 + 928.280i 0.522809 + 1.55164i 0.805600 + 0.592460i \(0.201843\pi\)
−0.282790 + 0.959182i \(0.591260\pi\)
\(72\) −59.3700 + 27.3501i −0.0971780 + 0.0447671i
\(73\) 35.8464 + 59.5772i 0.0574727 + 0.0955203i 0.884261 0.466992i \(-0.154662\pi\)
−0.826789 + 0.562513i \(0.809835\pi\)
\(74\) 20.8649 + 191.850i 0.0327770 + 0.301379i
\(75\) 268.452 + 581.492i 0.413309 + 0.895266i
\(76\) 43.8965 64.7426i 0.0662537 0.0977168i
\(77\) 220.443 + 208.815i 0.326258 + 0.309048i
\(78\) −197.289 1209.59i −0.286392 1.75588i
\(79\) 779.593 + 360.678i 1.11027 + 0.513664i 0.887314 0.461165i \(-0.152569\pi\)
0.222952 + 0.974829i \(0.428431\pi\)
\(80\) 46.6472 77.5282i 0.0651914 0.108349i
\(81\) −272.037 + 676.341i −0.373165 + 0.927765i
\(82\) −35.3903 37.3611i −0.0476610 0.0503151i
\(83\) −68.8005 247.797i −0.0909859 0.327702i 0.904024 0.427483i \(-0.140600\pi\)
−0.995009 + 0.0997811i \(0.968186\pi\)
\(84\) −0.310255 + 380.623i −0.000402995 + 0.494397i
\(85\) −30.4410 + 23.1406i −0.0388445 + 0.0295288i
\(86\) 555.324 + 154.185i 0.696304 + 0.193328i
\(87\) 800.622 + 371.200i 0.986617 + 0.457434i
\(88\) −4.01116 73.9815i −0.00485899 0.0896188i
\(89\) 52.8635 + 975.010i 0.0629609 + 1.16124i 0.843851 + 0.536577i \(0.180283\pi\)
−0.780890 + 0.624668i \(0.785234\pi\)
\(90\) −29.8215 136.540i −0.0349273 0.159918i
\(91\) 574.923 + 159.627i 0.662289 + 0.183884i
\(92\) 852.965 648.407i 0.966606 0.734795i
\(93\) 1471.84 + 1.19974i 1.64111 + 0.00133771i
\(94\) −50.6901 182.569i −0.0556200 0.200325i
\(95\) −9.61619 10.1517i −0.0103853 0.0109636i
\(96\) 892.395 940.554i 0.948747 0.999946i
\(97\) 229.605 381.607i 0.240339 0.399447i −0.713086 0.701076i \(-0.752703\pi\)
0.953425 + 0.301630i \(0.0975307\pi\)
\(98\) 870.516 + 402.743i 0.897300 + 0.415135i
\(99\) −598.953 569.214i −0.608051 0.577860i
\(100\) −660.643 625.794i −0.660643 0.625794i
\(101\) −713.220 + 1051.92i −0.702654 + 1.03634i 0.294096 + 0.955776i \(0.404981\pi\)
−0.996750 + 0.0805606i \(0.974329\pi\)
\(102\) −536.094 + 247.493i −0.520404 + 0.240250i
\(103\) −76.5723 704.071i −0.0732514 0.673535i −0.971985 0.235041i \(-0.924478\pi\)
0.898734 0.438494i \(-0.144488\pi\)
\(104\) −75.0597 124.750i −0.0707712 0.117623i
\(105\) 66.4392 + 14.6812i 0.0617505 + 0.0136451i
\(106\) 622.392 + 1847.19i 0.570303 + 1.69260i
\(107\) −155.761 707.632i −0.140729 0.639339i −0.993186 0.116541i \(-0.962819\pi\)
0.852457 0.522798i \(-0.175112\pi\)
\(108\) 2.53284 1035.76i 0.00225669 0.922838i
\(109\) −69.9438 59.4108i −0.0614624 0.0522066i 0.616129 0.787646i \(-0.288700\pi\)
−0.677591 + 0.735439i \(0.736976\pi\)
\(110\) 156.323 + 25.6279i 0.135498 + 0.0222138i
\(111\) 242.220 + 81.8332i 0.207121 + 0.0699753i
\(112\) 251.775 + 631.908i 0.212415 + 0.533122i
\(113\) −1.69950 0.572630i −0.00141483 0.000476712i 0.318594 0.947891i \(-0.396789\pi\)
−0.320009 + 0.947415i \(0.603686\pi\)
\(114\) −111.170 185.108i −0.0913339 0.152079i
\(115\) −80.4236 173.833i −0.0652134 0.140957i
\(116\) −1252.01 67.8817i −1.00212 0.0543333i
\(117\) −1563.80 436.933i −1.23567 0.345252i
\(118\) −1765.42 + 206.377i −1.37729 + 0.161005i
\(119\) 287.469i 0.221448i
\(120\) −9.30591 13.7493i −0.00707925 0.0104595i
\(121\) −357.987 + 165.623i −0.268961 + 0.124435i
\(122\) −109.300 + 1005.00i −0.0811114 + 0.745807i
\(123\) −64.6278 + 21.7170i −0.0473763 + 0.0159200i
\(124\) −1942.68 + 774.036i −1.40692 + 0.560568i
\(125\) −271.187 + 183.870i −0.194046 + 0.131566i
\(126\) 952.864 + 442.729i 0.673713 + 0.313027i
\(127\) 513.355 604.368i 0.358684 0.422276i −0.552991 0.833187i \(-0.686514\pi\)
0.911675 + 0.410911i \(0.134789\pi\)
\(128\) 114.360 287.021i 0.0789692 0.198198i
\(129\) 494.786 581.545i 0.337701 0.396916i
\(130\) 294.988 99.3930i 0.199017 0.0670565i
\(131\) −1269.88 1495.02i −0.846945 0.997101i −0.999961 0.00887683i \(-0.997174\pi\)
0.153016 0.988224i \(-0.451101\pi\)
\(132\) 1090.26 + 435.429i 0.718900 + 0.287115i
\(133\) 104.508 11.3659i 0.0681351 0.00741014i
\(134\) 729.822 3315.62i 0.470500 2.13750i
\(135\) −180.732 40.2457i −0.115222 0.0256578i
\(136\) −48.2378 + 50.9241i −0.0304144 + 0.0321081i
\(137\) −578.185 306.534i −0.360567 0.191161i 0.278270 0.960503i \(-0.410239\pi\)
−0.638837 + 0.769343i \(0.720584\pi\)
\(138\) −633.456 2889.03i −0.390749 1.78211i
\(139\) 455.564 + 274.104i 0.277989 + 0.167260i 0.647720 0.761878i \(-0.275723\pi\)
−0.369731 + 0.929139i \(0.620550\pi\)
\(140\) −95.4009 + 15.6402i −0.0575918 + 0.00944169i
\(141\) −247.686 40.8134i −0.147935 0.0243766i
\(142\) −3701.87 + 1027.82i −2.18770 + 0.607412i
\(143\) 1113.75 1465.11i 0.651302 0.856774i
\(144\) −682.337 1720.69i −0.394871 0.995770i
\(145\) −59.9646 + 215.973i −0.0343434 + 0.123694i
\(146\) −240.936 + 127.736i −0.136575 + 0.0724076i
\(147\) 969.185 821.875i 0.543790 0.461137i
\(148\) −362.724 + 19.6663i −0.201458 + 0.0109227i
\(149\) −999.241 1884.77i −0.549403 1.03628i −0.990329 0.138740i \(-0.955695\pi\)
0.440926 0.897544i \(-0.354650\pi\)
\(150\) −2334.32 + 927.873i −1.27064 + 0.505070i
\(151\) 1679.64 + 2209.52i 0.905211 + 1.19078i 0.981068 + 0.193665i \(0.0620376\pi\)
−0.0758571 + 0.997119i \(0.524169\pi\)
\(152\) −20.4203 15.5231i −0.0108968 0.00828351i
\(153\) −1.27530 + 782.274i −0.000673870 + 0.413354i
\(154\) −864.597 + 818.989i −0.452410 + 0.428546i
\(155\) 60.4796 + 368.909i 0.0313409 + 0.191171i
\(156\) 2293.63 247.556i 1.17716 0.127053i
\(157\) 679.157 1467.97i 0.345240 0.746223i −0.654714 0.755877i \(-0.727211\pi\)
0.999953 + 0.00965380i \(0.00307295\pi\)
\(158\) −1578.07 + 2976.56i −0.794586 + 1.49875i
\(159\) 2567.06 + 281.302i 1.28039 + 0.140306i
\(160\) 272.564 + 184.803i 0.134676 + 0.0913124i
\(161\) 1406.28 + 309.546i 0.688388 + 0.151526i
\(162\) −2591.01 1209.00i −1.25660 0.586346i
\(163\) 86.0927 51.8003i 0.0413699 0.0248915i −0.494719 0.869053i \(-0.664729\pi\)
0.536089 + 0.844162i \(0.319901\pi\)
\(164\) 73.8300 62.7118i 0.0351534 0.0298596i
\(165\) 117.917 173.610i 0.0556354 0.0819122i
\(166\) 985.063 216.829i 0.460577 0.101381i
\(167\) 861.390 + 343.209i 0.399140 + 0.159032i 0.561066 0.827771i \(-0.310391\pi\)
−0.161926 + 0.986803i \(0.551771\pi\)
\(168\) 124.628 + 6.85901i 0.0572335 + 0.00314990i
\(169\) 229.637 1400.72i 0.104523 0.637561i
\(170\) −84.1625 124.130i −0.0379704 0.0560022i
\(171\) −284.441 + 30.4657i −0.127203 + 0.0136244i
\(172\) −346.396 + 1028.07i −0.153561 + 0.455752i
\(173\) −1066.70 116.011i −0.468787 0.0509836i −0.129322 0.991603i \(-0.541280\pi\)
−0.339464 + 0.940619i \(0.610246\pi\)
\(174\) −1623.74 + 3056.68i −0.707446 + 1.33176i
\(175\) 66.2097 1221.17i 0.0285999 0.527494i
\(176\) 2098.07 0.898568
\(177\) −735.757 + 2236.94i −0.312445 + 0.949936i
\(178\) −3829.68 −1.61262
\(179\) 8.44123 155.689i 0.00352473 0.0650098i −0.996242 0.0866151i \(-0.972395\pi\)
0.999767 + 0.0216053i \(0.00687772\pi\)
\(180\) 259.678 42.1375i 0.107529 0.0174486i
\(181\) 3693.64 + 401.708i 1.51683 + 0.164965i 0.828317 0.560259i \(-0.189298\pi\)
0.688513 + 0.725224i \(0.258264\pi\)
\(182\) −747.228 + 2217.69i −0.304331 + 0.903222i
\(183\) 1147.04 + 691.428i 0.463344 + 0.279300i
\(184\) −197.175 290.811i −0.0789996 0.116516i
\(185\) −10.5057 + 64.0821i −0.00417512 + 0.0254671i
\(186\) −317.226 + 5763.97i −0.125054 + 2.27223i
\(187\) −823.697 328.191i −0.322111 0.128341i
\(188\) 348.321 76.6712i 0.135127 0.0297437i
\(189\) 1063.14 898.570i 0.409163 0.345827i
\(190\) 41.7992 35.5046i 0.0159602 0.0135567i
\(191\) −1522.63 + 916.138i −0.576826 + 0.347065i −0.773884 0.633327i \(-0.781689\pi\)
0.197058 + 0.980392i \(0.436861\pi\)
\(192\) 1535.86 + 1624.04i 0.577299 + 0.610443i
\(193\) −2028.62 446.532i −0.756596 0.166539i −0.180110 0.983646i \(-0.557645\pi\)
−0.576486 + 0.817107i \(0.695576\pi\)
\(194\) 1445.74 + 980.239i 0.535043 + 0.362768i
\(195\) 44.9226 409.947i 0.0164973 0.150548i
\(196\) −845.705 + 1595.17i −0.308201 + 0.581330i
\(197\) 390.937 844.997i 0.141386 0.305602i −0.823927 0.566696i \(-0.808221\pi\)
0.965313 + 0.261094i \(0.0840834\pi\)
\(198\) 2356.41 2224.83i 0.845772 0.798545i
\(199\) 629.375 + 3839.02i 0.224197 + 1.36754i 0.823635 + 0.567120i \(0.191942\pi\)
−0.599438 + 0.800421i \(0.704609\pi\)
\(200\) −216.642 + 205.214i −0.0765946 + 0.0725543i
\(201\) −3578.47 2724.89i −1.25575 0.956214i
\(202\) −3968.22 3016.57i −1.38219 1.05072i
\(203\) −1019.77 1341.49i −0.352581 0.463812i
\(204\) −410.553 1032.86i −0.140904 0.354483i
\(205\) −8.11133 15.2996i −0.00276351 0.00521254i
\(206\) 2773.63 150.382i 0.938097 0.0508622i
\(207\) −3825.46 848.588i −1.28448 0.284932i
\(208\) 3642.54 1931.15i 1.21425 0.643757i
\(209\) 86.7446 312.426i 0.0287093 0.103402i
\(210\) −71.6038 + 257.080i −0.0235292 + 0.0844773i
\(211\) 2692.81 3542.34i 0.878583 1.15576i −0.108268 0.994122i \(-0.534530\pi\)
0.986851 0.161634i \(-0.0516765\pi\)
\(212\) −3535.39 + 981.597i −1.14534 + 0.318002i
\(213\) −827.553 + 5022.20i −0.266211 + 1.61557i
\(214\) 2804.39 459.757i 0.895815 0.146861i
\(215\) 166.174 + 99.9834i 0.0527114 + 0.0317154i
\(216\) −339.112 19.2179i −0.106822 0.00605376i
\(217\) −2483.07 1316.44i −0.776782 0.411824i
\(218\) 247.524 261.308i 0.0769011 0.0811835i
\(219\) 19.2657 + 360.774i 0.00594454 + 0.111319i
\(220\) −64.1005 + 291.211i −0.0196439 + 0.0892430i
\(221\) −1732.14 + 188.381i −0.527222 + 0.0573388i
\(222\) −371.918 + 931.236i −0.112439 + 0.281534i
\(223\) 424.675 + 499.966i 0.127526 + 0.150136i 0.822219 0.569171i \(-0.192736\pi\)
−0.694693 + 0.719306i \(0.744460\pi\)
\(224\) −2346.11 + 790.497i −0.699804 + 0.235792i
\(225\) −185.590 + 3322.79i −0.0549896 + 0.984531i
\(226\) 2.60347 6.53423i 0.000766286 0.00192323i
\(227\) 836.771 985.123i 0.244663 0.288039i −0.626100 0.779743i \(-0.715350\pi\)
0.870763 + 0.491704i \(0.163626\pi\)
\(228\) 359.256 190.091i 0.104352 0.0552152i
\(229\) 1226.42 831.531i 0.353903 0.239952i −0.371261 0.928529i \(-0.621074\pi\)
0.725164 + 0.688576i \(0.241764\pi\)
\(230\) 697.864 278.054i 0.200069 0.0797146i
\(231\) 502.567 + 1495.59i 0.143145 + 0.425986i
\(232\) −44.4552 + 408.758i −0.0125803 + 0.115674i
\(233\) 2425.64 1122.22i 0.682014 0.315533i −0.0481159 0.998842i \(-0.515322\pi\)
0.730130 + 0.683309i \(0.239460\pi\)
\(234\) 2043.23 6031.57i 0.570812 1.68502i
\(235\) 63.7581i 0.0176984i
\(236\) −207.994 3339.29i −0.0573697 0.921056i
\(237\) 2698.24 + 3555.49i 0.739535 + 0.974490i
\(238\) 1125.83 + 61.0405i 0.306624 + 0.0166246i
\(239\) −2655.19 5739.10i −0.718619 1.55327i −0.828917 0.559371i \(-0.811043\pi\)
0.110298 0.993899i \(-0.464819\pi\)
\(240\) 403.046 242.057i 0.108402 0.0651031i
\(241\) 5187.17 + 1747.76i 1.38645 + 0.467150i 0.910933 0.412555i \(-0.135364\pi\)
0.475519 + 0.879705i \(0.342260\pi\)
\(242\) −572.619 1437.16i −0.152105 0.381754i
\(243\) −2897.04 + 2440.51i −0.764794 + 0.644275i
\(244\) −1877.85 307.858i −0.492693 0.0807728i
\(245\) 245.993 + 208.949i 0.0641467 + 0.0544867i
\(246\) −71.3280 257.715i −0.0184866 0.0667939i
\(247\) −136.970 622.259i −0.0352841 0.160297i
\(248\) 218.965 + 649.865i 0.0560657 + 0.166397i
\(249\) 288.328 1304.82i 0.0733818 0.332087i
\(250\) −662.511 1101.10i −0.167603 0.278559i
\(251\) 162.608 + 1495.15i 0.0408913 + 0.375989i 0.996647 + 0.0818265i \(0.0260753\pi\)
−0.955755 + 0.294163i \(0.904959\pi\)
\(252\) −929.253 + 1745.87i −0.232291 + 0.436428i
\(253\) 2492.44 3676.08i 0.619362 0.913490i
\(254\) 2257.90 + 2138.80i 0.557769 + 0.528347i
\(255\) −196.099 + 31.9847i −0.0481576 + 0.00785473i
\(256\) 4223.12 + 1953.83i 1.03104 + 0.477008i
\(257\) −2283.03 + 3794.43i −0.554131 + 0.920972i 0.445539 + 0.895263i \(0.353012\pi\)
−0.999669 + 0.0257098i \(0.991815\pi\)
\(258\) 2172.46 + 2061.23i 0.524231 + 0.497389i
\(259\) −335.731 354.427i −0.0805457 0.0850311i
\(260\) 156.756 + 564.585i 0.0373908 + 0.134669i
\(261\) 2769.10 + 3655.04i 0.656715 + 0.866824i
\(262\) 6124.62 4655.81i 1.44420 1.09785i
\(263\) −6059.81 1682.50i −1.42078 0.394477i −0.529644 0.848220i \(-0.677674\pi\)
−0.891132 + 0.453744i \(0.850088\pi\)
\(264\) 161.935 349.270i 0.0377516 0.0814245i
\(265\) 35.5103 + 654.949i 0.00823163 + 0.151823i
\(266\) 22.3217 + 411.700i 0.00514524 + 0.0948983i
\(267\) −2134.16 + 4603.06i −0.489170 + 1.05507i
\(268\) 6157.62 + 1709.65i 1.40349 + 0.389678i
\(269\) 4791.06 3642.07i 1.08593 0.825506i 0.100394 0.994948i \(-0.467990\pi\)
0.985540 + 0.169442i \(0.0541965\pi\)
\(270\) 195.992 699.261i 0.0441766 0.157613i
\(271\) −2178.67 7846.84i −0.488356 1.75890i −0.637874 0.770141i \(-0.720186\pi\)
0.149518 0.988759i \(-0.452228\pi\)
\(272\) −1365.99 1442.06i −0.304505 0.321462i
\(273\) 2249.14 + 2133.98i 0.498622 + 0.473092i
\(274\) 1323.26 2199.27i 0.291756 0.484902i
\(275\) −3423.46 1583.86i −0.750700 0.347311i
\(276\) 5494.75 896.220i 1.19835 0.195457i
\(277\) 4123.10 + 3905.61i 0.894343 + 0.847166i 0.988935 0.148350i \(-0.0473961\pi\)
−0.0945922 + 0.995516i \(0.530155\pi\)
\(278\) −1170.21 + 1725.94i −0.252463 + 0.372355i
\(279\) 6751.19 + 3593.37i 1.44869 + 0.771072i
\(280\) 3.42760 + 31.5163i 0.000731565 + 0.00672663i
\(281\) 3649.82 + 6066.05i 0.774840 + 1.28779i 0.952753 + 0.303747i \(0.0982378\pi\)
−0.177913 + 0.984046i \(0.556935\pi\)
\(282\) 212.431 961.353i 0.0448585 0.203006i
\(283\) −186.866 554.597i −0.0392509 0.116493i 0.926236 0.376944i \(-0.123025\pi\)
−0.965487 + 0.260452i \(0.916129\pi\)
\(284\) −1554.62 7062.73i −0.324824 1.47569i
\(285\) −19.3811 70.0259i −0.00402821 0.0145543i
\(286\) 5501.36 + 4672.90i 1.13742 + 0.966134i
\(287\) 128.471 + 21.0618i 0.0264230 + 0.00433184i
\(288\) 6387.85 2140.73i 1.30697 0.437998i
\(289\) −1507.78 3784.24i −0.306896 0.770250i
\(290\) −833.089 280.700i −0.168692 0.0568390i
\(291\) 1983.86 1191.45i 0.399642 0.240013i
\(292\) −215.538 465.877i −0.0431965 0.0933678i
\(293\) −7648.95 414.714i −1.52511 0.0826889i −0.727602 0.686000i \(-0.759365\pi\)
−0.797506 + 0.603311i \(0.793848\pi\)
\(294\) 3012.94 + 3970.16i 0.597681 + 0.787567i
\(295\) −590.984 92.0133i −0.116639 0.0181601i
\(296\) 119.122i 0.0233912i
\(297\) −1360.97 4072.10i −0.265897 0.795580i
\(298\) 7593.55 3513.15i 1.47612 0.682924i
\(299\) 943.609 8676.34i 0.182509 1.67815i
\(300\) −1506.13 4482.12i −0.289856 0.862584i
\(301\) −1354.43 + 539.654i −0.259362 + 0.103339i
\(302\) −9009.87 + 6108.84i −1.71675 + 1.16399i
\(303\) −5837.11 + 3088.54i −1.10671 + 0.585585i
\(304\) 470.243 553.612i 0.0887180 0.104447i
\(305\) −125.912 + 316.014i −0.0236383 + 0.0593276i
\(306\) −3063.37 171.100i −0.572292 0.0319646i
\(307\) −8846.74 + 2980.81i −1.64466 + 0.554150i −0.981020 0.193905i \(-0.937885\pi\)
−0.663637 + 0.748055i \(0.730988\pi\)
\(308\) −1451.25 1708.55i −0.268483 0.316083i
\(309\) 1364.91 3417.55i 0.251284 0.629183i
\(310\) −1457.61 + 158.525i −0.267054 + 0.0290439i
\(311\) 533.386 2423.20i 0.0972525 0.441823i −0.902681 0.430310i \(-0.858404\pi\)
0.999934 0.0115128i \(-0.00366471\pi\)
\(312\) −40.3409 755.434i −0.00732004 0.137077i
\(313\) −5178.58 + 5466.96i −0.935177 + 0.987255i −0.999943 0.0106456i \(-0.996611\pi\)
0.0647658 + 0.997900i \(0.479370\pi\)
\(314\) 5604.86 + 2971.51i 1.00733 + 0.534050i
\(315\) 269.094 + 229.326i 0.0481324 + 0.0410193i
\(316\) −5433.88 3269.46i −0.967341 0.582030i
\(317\) 9659.79 1583.64i 1.71151 0.280587i 0.775187 0.631732i \(-0.217656\pi\)
0.936321 + 0.351145i \(0.114207\pi\)
\(318\) −1646.76 + 9993.73i −0.290394 + 1.76233i
\(319\) −5008.04 + 1390.48i −0.878986 + 0.244049i
\(320\) −343.578 + 451.969i −0.0600206 + 0.0789558i
\(321\) 1010.20 3626.93i 0.175650 0.630640i
\(322\) −1510.89 + 5441.73i −0.261486 + 0.941789i
\(323\) −271.215 + 143.789i −0.0467208 + 0.0247698i
\(324\) 2536.47 4746.82i 0.434923 0.813927i
\(325\) −7401.47 + 401.296i −1.26326 + 0.0684920i
\(326\) 184.586 + 348.167i 0.0313598 + 0.0591508i
\(327\) −176.140 443.128i −0.0297877 0.0749390i
\(328\) −19.2239 25.2887i −0.00323617 0.00425711i
\(329\) 381.589 + 290.077i 0.0639444 + 0.0486093i
\(330\) 654.875 + 498.666i 0.109242 + 0.0831838i
\(331\) −6071.78 + 5751.50i −1.00826 + 0.955078i −0.998992 0.0448786i \(-0.985710\pi\)
−0.00927154 + 0.999957i \(0.502951\pi\)
\(332\) 307.163 + 1873.61i 0.0507763 + 0.309722i
\(333\) 912.034 + 965.972i 0.150088 + 0.158964i
\(334\) −1527.03 + 3300.61i −0.250165 + 0.540723i
\(335\) 535.112 1009.33i 0.0872726 0.164614i
\(336\) −385.013 + 3513.49i −0.0625125 + 0.570466i
\(337\) 1012.36 + 686.400i 0.163641 + 0.110951i 0.640259 0.768159i \(-0.278827\pi\)
−0.476618 + 0.879111i \(0.658137\pi\)
\(338\) 5436.93 + 1196.76i 0.874940 + 0.192589i
\(339\) −6.40294 6.77055i −0.00102584 0.00108474i
\(340\) 241.891 145.541i 0.0385835 0.0232149i
\(341\) −6606.85 + 5611.91i −1.04921 + 0.891208i
\(342\) −58.9164 1120.43i −0.00931531 0.177153i
\(343\) −5693.39 + 1253.21i −0.896251 + 0.197280i
\(344\) 330.486 + 131.678i 0.0517983 + 0.0206383i
\(345\) 54.6916 993.743i 0.00853478 0.155076i
\(346\) 680.839 4152.93i 0.105787 0.645269i
\(347\) 4102.59 + 6050.87i 0.634694 + 0.936104i 0.999986 + 0.00521077i \(0.00165865\pi\)
−0.365292 + 0.930893i \(0.619031\pi\)
\(348\) −5579.83 3363.47i −0.859512 0.518106i
\(349\) −1770.92 + 5255.91i −0.271620 + 0.806139i 0.721850 + 0.692049i \(0.243292\pi\)
−0.993470 + 0.114090i \(0.963605\pi\)
\(350\) 4768.43 + 518.598i 0.728238 + 0.0792006i
\(351\) −6110.98 5817.04i −0.929287 0.884589i
\(352\) −413.409 + 7624.88i −0.0625988 + 1.15457i
\(353\) −4756.57 −0.717186 −0.358593 0.933494i \(-0.616743\pi\)
−0.358593 + 0.933494i \(0.616743\pi\)
\(354\) −8604.36 3356.45i −1.29186 0.503936i
\(355\) −1292.79 −0.193280
\(356\) 390.277 7198.23i 0.0581029 1.07164i
\(357\) 700.754 1319.16i 0.103887 0.195567i
\(358\) 607.938 + 66.1172i 0.0897501 + 0.00976091i
\(359\) 180.607 536.023i 0.0265517 0.0788028i −0.933558 0.358427i \(-0.883313\pi\)
0.960110 + 0.279624i \(0.0902098\pi\)
\(360\) −9.18751 85.7786i −0.00134507 0.0125581i
\(361\) 3786.19 + 5584.21i 0.552003 + 0.814143i
\(362\) −2357.52 + 14380.2i −0.342288 + 2.08787i
\(363\) −2046.49 112.631i −0.295904 0.0162853i
\(364\) −4092.20 1630.48i −0.589257 0.234782i
\(365\) −89.6182 + 19.7265i −0.0128516 + 0.00282885i
\(366\) −2951.42 + 4345.39i −0.421511 + 0.620593i
\(367\) −6259.84 + 5317.16i −0.890357 + 0.756276i −0.970650 0.240495i \(-0.922690\pi\)
0.0802935 + 0.996771i \(0.474414\pi\)
\(368\) 8525.34 5129.53i 1.20765 0.726617i
\(369\) −349.508 57.8841i −0.0493080 0.00816620i
\(370\) −248.736 54.7509i −0.0349491 0.00769288i
\(371\) −4081.40 2767.26i −0.571148 0.387248i
\(372\) −10801.6 1183.65i −1.50547 0.164972i
\(373\) 5885.59 11101.4i 0.817009 1.54104i −0.0238038 0.999717i \(-0.507578\pi\)
0.840813 0.541326i \(-0.182077\pi\)
\(374\) 1460.21 3156.18i 0.201886 0.436370i
\(375\) −1692.66 + 182.692i −0.233089 + 0.0251578i
\(376\) −18.9217 115.417i −0.00259524 0.0158303i
\(377\) −7414.81 + 7023.68i −1.01295 + 0.959517i
\(378\) 3293.35 + 4354.39i 0.448126 + 0.592502i
\(379\) −5737.04 4361.18i −0.777551 0.591079i 0.139327 0.990246i \(-0.455506\pi\)
−0.916878 + 0.399167i \(0.869299\pi\)
\(380\) 62.4744 + 82.1836i 0.00843386 + 0.0110946i
\(381\) 3828.97 1521.99i 0.514866 0.204655i
\(382\) −3264.59 6157.66i −0.437253 0.824747i
\(383\) 8500.82 460.901i 1.13413 0.0614907i 0.522503 0.852637i \(-0.324998\pi\)
0.611627 + 0.791147i \(0.290515\pi\)
\(384\) 1224.44 1038.33i 0.162720 0.137988i
\(385\) −354.058 + 187.710i −0.0468687 + 0.0248482i
\(386\) 2179.52 7849.92i 0.287395 1.03510i
\(387\) 3688.12 1462.52i 0.484439 0.192104i
\(388\) −1989.78 + 2617.51i −0.260350 + 0.342484i
\(389\) 11209.3 3112.24i 1.46101 0.405647i 0.556051 0.831148i \(-0.312316\pi\)
0.904958 + 0.425501i \(0.139902\pi\)
\(390\) 1595.95 + 262.979i 0.207216 + 0.0341447i
\(391\) −4149.42 + 680.262i −0.536688 + 0.0879855i
\(392\) 507.317 + 305.242i 0.0653657 + 0.0393292i
\(393\) −2182.97 9955.98i −0.280194 1.27790i
\(394\) 3226.28 + 1710.46i 0.412532 + 0.218710i
\(395\) −779.619 + 823.034i −0.0993086 + 0.104839i
\(396\) 3941.63 + 4655.81i 0.500188 + 0.590816i
\(397\) −263.018 + 1194.90i −0.0332506 + 0.151059i −0.990321 0.138797i \(-0.955676\pi\)
0.957070 + 0.289856i \(0.0936075\pi\)
\(398\) −15168.5 + 1649.67i −1.91037 + 0.207765i
\(399\) 507.279 + 202.598i 0.0636485 + 0.0254200i
\(400\) −5470.56 6440.45i −0.683820 0.805056i
\(401\) −6716.31 + 2262.99i −0.836400 + 0.281816i −0.704728 0.709478i \(-0.748931\pi\)
−0.131672 + 0.991293i \(0.542034\pi\)
\(402\) 11431.4 13435.9i 1.41828 1.66697i
\(403\) −6304.98 + 15824.3i −0.779338 + 1.95599i
\(404\) 6074.30 7151.22i 0.748039 0.880659i
\(405\) −731.252 625.247i −0.0897190 0.0767130i
\(406\) 5470.24 3708.92i 0.668679 0.453375i
\(407\) −1398.84 + 557.350i −0.170364 + 0.0678792i
\(408\) −345.493 + 116.097i −0.0419227 + 0.0140874i
\(409\) 107.423 987.735i 0.0129871 0.119414i −0.985850 0.167631i \(-0.946388\pi\)
0.998837 + 0.0482168i \(0.0153538\pi\)
\(410\) 61.6406 28.5180i 0.00742491 0.00343513i
\(411\) −1905.99 2816.07i −0.228749 0.337972i
\(412\) 5228.61i 0.625231i
\(413\) 3239.46 3118.39i 0.385965 0.371539i
\(414\) 4135.64 14801.6i 0.490956 1.75714i
\(415\) 338.909 + 18.3751i 0.0400877 + 0.00217349i
\(416\) 6300.53 + 13618.4i 0.742570 + 1.60504i
\(417\) 1422.35 + 2368.34i 0.167034 + 0.278125i
\(418\) 1205.14 + 406.060i 0.141018 + 0.0475145i
\(419\) −4284.50 10753.3i −0.499550 1.25378i −0.935347 0.353731i \(-0.884913\pi\)
0.435798 0.900045i \(-0.356466\pi\)
\(420\) −475.908 160.784i −0.0552904 0.0186797i
\(421\) 10311.7 + 1690.52i 1.19373 + 0.195703i 0.725702 0.688009i \(-0.241515\pi\)
0.468031 + 0.883712i \(0.344963\pi\)
\(422\) 13301.2 + 11298.1i 1.53434 + 1.30328i
\(423\) −1037.11 791.062i −0.119210 0.0909285i
\(424\) 258.654 + 1175.08i 0.0296258 + 0.134591i
\(425\) 1140.28 + 3384.24i 0.130146 + 0.386258i
\(426\) −19492.9 4307.37i −2.21698 0.489889i
\(427\) −1318.48 2191.33i −0.149428 0.248351i
\(428\) 578.363 + 5317.96i 0.0653183 + 0.600592i
\(429\) 8682.30 4008.27i 0.977122 0.451098i
\(430\) −426.853 + 629.561i −0.0478714 + 0.0706050i
\(431\) −7788.78 7377.93i −0.870470 0.824553i 0.115182 0.993344i \(-0.463255\pi\)
−0.985652 + 0.168792i \(0.946014\pi\)
\(432\) 1063.30 9559.35i 0.118421 1.06464i
\(433\) 7536.57 + 3486.79i 0.836454 + 0.386985i 0.790876 0.611976i \(-0.209625\pi\)
0.0455777 + 0.998961i \(0.485487\pi\)
\(434\) 5682.86 9444.99i 0.628539 1.04464i
\(435\) −801.640 + 844.901i −0.0883579 + 0.0931262i
\(436\) 465.927 + 491.873i 0.0511785 + 0.0540285i
\(437\) −411.364 1481.60i −0.0450302 0.162184i
\(438\) −1417.00 1.15503i −0.154582 0.000126004i
\(439\) 4345.83 3303.61i 0.472471 0.359163i −0.341680 0.939816i \(-0.610996\pi\)
0.814151 + 0.580653i \(0.197203\pi\)
\(440\) 94.2179 + 26.1595i 0.0102083 + 0.00283433i
\(441\) 6450.93 1408.93i 0.696569 0.152136i
\(442\) −369.966 6823.61i −0.0398133 0.734313i
\(443\) −747.180 13780.9i −0.0801345 1.47799i −0.711597 0.702588i \(-0.752028\pi\)
0.631462 0.775407i \(-0.282455\pi\)
\(444\) −1712.44 793.954i −0.183038 0.0848634i
\(445\) −1241.71 344.758i −0.132275 0.0367261i
\(446\) −2048.21 + 1557.01i −0.217456 + 0.165306i
\(447\) 9.03548 11084.8i 0.000956071 1.17291i
\(448\) −1141.86 4112.60i −0.120419 0.433710i
\(449\) −4364.71 4607.77i −0.458761 0.484308i 0.455040 0.890471i \(-0.349625\pi\)
−0.913801 + 0.406163i \(0.866866\pi\)
\(450\) −12973.7 1432.38i −1.35908 0.150052i
\(451\) 207.019 344.068i 0.0216145 0.0359236i
\(452\) 12.0163 + 5.55935i 0.00125045 + 0.000578518i
\(453\) 2321.57 + 14233.6i 0.240788 + 1.47628i
\(454\) 3680.39 + 3486.25i 0.380461 + 0.360391i
\(455\) −441.918 + 651.780i −0.0455328 + 0.0671559i
\(456\) −55.8663 121.012i −0.00573723 0.0124274i
\(457\) −2080.77 19132.4i −0.212986 1.95837i −0.278268 0.960503i \(-0.589760\pi\)
0.0652825 0.997867i \(-0.479205\pi\)
\(458\) 2996.14 + 4979.62i 0.305677 + 0.508040i
\(459\) −1912.77 + 3586.65i −0.194511 + 0.364729i
\(460\) 451.510 + 1340.03i 0.0457647 + 0.135825i
\(461\) 2234.90 + 10153.2i 0.225791 + 1.02578i 0.943999 + 0.329950i \(0.107032\pi\)
−0.718208 + 0.695829i \(0.755037\pi\)
\(462\) −5963.95 + 1650.65i −0.600580 + 0.166223i
\(463\) 5969.48 + 5070.53i 0.599191 + 0.508957i 0.894868 0.446330i \(-0.147269\pi\)
−0.295677 + 0.955288i \(0.595545\pi\)
\(464\) −11490.0 1883.69i −1.14959 0.188466i
\(465\) −621.743 + 1840.31i −0.0620057 + 0.183532i
\(466\) 3879.94 + 9737.91i 0.385697 + 0.968026i
\(467\) 8990.19 + 3029.15i 0.890828 + 0.300155i 0.727247 0.686375i \(-0.240799\pi\)
0.163580 + 0.986530i \(0.447696\pi\)
\(468\) 11128.6 + 4455.09i 1.09919 + 0.440036i
\(469\) 3606.22 + 7794.72i 0.355053 + 0.767434i
\(470\) 249.698 + 13.5382i 0.0245057 + 0.00132866i
\(471\) 6694.99 5080.79i 0.654966 0.497050i
\(472\) −1097.13 + 8.82235i −0.106990 + 0.000860343i
\(473\) 4496.99i 0.437150i
\(474\) −14497.4 + 9812.25i −1.40483 + 0.950826i
\(475\) −1185.23 + 548.348i −0.114489 + 0.0529683i
\(476\) −229.462 + 2109.87i −0.0220953 + 0.203163i
\(477\) 11094.2 + 7548.49i 1.06492 + 0.724574i
\(478\) 23040.0 9179.98i 2.20466 0.878415i
\(479\) −3197.97 + 2168.28i −0.305050 + 0.206829i −0.704101 0.710099i \(-0.748650\pi\)
0.399051 + 0.916929i \(0.369340\pi\)
\(480\) 800.277 + 1512.46i 0.0760989 + 0.143821i
\(481\) −1915.58 + 2255.20i −0.181586 + 0.213780i
\(482\) −7946.24 + 19943.6i −0.750915 + 1.88466i
\(483\) 5698.69 + 4848.51i 0.536851 + 0.456759i
\(484\) 2759.63 929.828i 0.259169 0.0873242i
\(485\) 380.513 + 447.975i 0.0356252 + 0.0419412i
\(486\) −8942.69 11864.0i −0.834668 1.10733i
\(487\) −1076.85 + 117.114i −0.100199 + 0.0108973i −0.158081 0.987426i \(-0.550531\pi\)
0.0578824 + 0.998323i \(0.481565\pi\)
\(488\) −134.145 + 609.428i −0.0124436 + 0.0565318i
\(489\) 521.341 27.8401i 0.0482123 0.00257458i
\(490\) −870.545 + 919.023i −0.0802596 + 0.0847291i
\(491\) 238.377 + 126.380i 0.0219100 + 0.0116160i 0.479327 0.877636i \(-0.340881\pi\)
−0.457417 + 0.889252i \(0.651225\pi\)
\(492\) 491.667 107.804i 0.0450530 0.00987841i
\(493\) 4216.29 + 2536.86i 0.385177 + 0.231753i
\(494\) 2466.05 404.289i 0.224601 0.0368215i
\(495\) 964.310 509.232i 0.0875606 0.0462390i
\(496\) −18711.4 + 5195.21i −1.69389 + 0.470306i
\(497\) 5881.74 7737.30i 0.530850 0.698321i
\(498\) 5048.89 + 1406.25i 0.454310 + 0.126537i
\(499\) 692.338 2493.58i 0.0621109 0.223703i −0.925981 0.377571i \(-0.876759\pi\)
0.988091 + 0.153868i \(0.0491731\pi\)
\(500\) 2137.13 1133.04i 0.191151 0.101342i
\(501\) 3116.19 + 3674.73i 0.277886 + 0.327694i
\(502\) −5890.05 + 319.349i −0.523677 + 0.0283929i
\(503\) −2695.58 5084.41i −0.238946 0.450701i 0.734816 0.678266i \(-0.237268\pi\)
−0.973763 + 0.227565i \(0.926924\pi\)
\(504\) 555.181 + 335.275i 0.0490669 + 0.0296317i
\(505\) −1015.07 1335.30i −0.0894453 0.117663i
\(506\) 13867.5 + 10541.8i 1.21835 + 0.926166i
\(507\) 4468.26 5867.96i 0.391405 0.514014i
\(508\) −4250.16 + 4025.96i −0.371201 + 0.351621i
\(509\) −103.615 632.024i −0.00902290 0.0550372i 0.981931 0.189238i \(-0.0606017\pi\)
−0.990954 + 0.134200i \(0.957153\pi\)
\(510\) −83.6234 774.779i −0.00726060 0.0672702i
\(511\) 289.669 626.110i 0.0250767 0.0542025i
\(512\) −7390.78 + 13940.5i −0.637948 + 1.20330i
\(513\) −1379.53 553.568i −0.118729 0.0476426i
\(514\) −14375.5 9746.80i −1.23361 0.836407i
\(515\) 912.839 + 200.931i 0.0781058 + 0.0171924i
\(516\) −4095.65 + 3873.28i −0.349421 + 0.330449i
\(517\) 1266.81 762.215i 0.107765 0.0648398i
\(518\) 1459.34 1239.58i 0.123783 0.105143i
\(519\) −4612.18 3132.63i −0.390082 0.264946i
\(520\) 187.654 41.3057i 0.0158253 0.00348342i
\(521\) −6084.45 2424.27i −0.511641 0.203856i 0.100007 0.994987i \(-0.468114\pi\)
−0.611647 + 0.791131i \(0.709493\pi\)
\(522\) −14902.3 + 10068.6i −1.24953 + 0.844234i
\(523\) 2025.96 12357.8i 0.169386 1.03321i −0.756107 0.654448i \(-0.772901\pi\)
0.925493 0.378764i \(-0.123651\pi\)
\(524\) 8126.87 + 11986.2i 0.677526 + 0.999277i
\(525\) 3280.62 5442.38i 0.272720 0.452429i
\(526\) 7875.94 23375.0i 0.652866 1.93764i
\(527\) 8158.73 + 887.315i 0.674383 + 0.0733436i
\(528\) 9627.78 + 5114.38i 0.793552 + 0.421544i
\(529\) 481.569 8882.02i 0.0395799 0.730009i
\(530\) −2572.54 −0.210838
\(531\) −8829.20 + 8471.51i −0.721572 + 0.692340i
\(532\) −776.102 −0.0632486
\(533\) 42.7187 787.899i 0.00347158 0.0640295i
\(534\) −17574.0 9335.48i −1.42416 0.756527i
\(535\) 950.663 + 103.391i 0.0768238 + 0.00835510i
\(536\) 669.138 1985.93i 0.0539223 0.160036i
\(537\) 418.254 693.862i 0.0336108 0.0557586i
\(538\) 13246.2 + 19536.7i 1.06150 + 1.56559i
\(539\) −1210.81 + 7385.59i −0.0967590 + 0.590204i
\(540\) 1294.35 + 439.644i 0.103148 + 0.0350357i
\(541\) 21763.2 + 8671.25i 1.72953 + 0.689106i 0.999987 + 0.00516672i \(0.00164463\pi\)
0.729539 + 0.683939i \(0.239735\pi\)
\(542\) 31193.4 6866.19i 2.47209 0.544148i
\(543\) 15970.4 + 10847.2i 1.26217 + 0.857274i
\(544\) 5509.93 4680.18i 0.434258 0.368862i
\(545\) 103.779 62.4417i 0.00815670 0.00490772i
\(546\) −8834.93 + 8355.23i −0.692491 + 0.654892i
\(547\) 8666.47 + 1907.63i 0.677425 + 0.149113i 0.540340 0.841447i \(-0.318296\pi\)
0.137085 + 0.990559i \(0.456227\pi\)
\(548\) 3998.88 + 2711.31i 0.311722 + 0.211353i
\(549\) 3578.18 + 5968.98i 0.278166 + 0.464026i
\(550\) 6929.86 13071.1i 0.537255 1.01337i
\(551\) −755.557 + 1633.11i −0.0584171 + 0.126266i
\(552\) −195.912 1815.14i −0.0151061 0.139959i
\(553\) −1378.83 8410.50i −0.106029 0.646747i
\(554\) −16171.1 + 15318.1i −1.24015 + 1.17474i
\(555\) −204.420 + 268.456i −0.0156345 + 0.0205321i
\(556\) −3124.79 2375.41i −0.238347 0.181187i
\(557\) −2920.11 3841.34i −0.222135 0.292213i 0.671503 0.741002i \(-0.265649\pi\)
−0.893638 + 0.448788i \(0.851856\pi\)
\(558\) −15506.3 + 25676.9i −1.17641 + 1.94801i
\(559\) 4139.23 + 7807.41i 0.313186 + 0.590731i
\(560\) −896.417 + 48.6023i −0.0676438 + 0.00366754i
\(561\) −2979.83 3513.92i −0.224257 0.264453i
\(562\) −24531.6 + 13005.8i −1.84129 + 0.976190i
\(563\) −61.5125 + 221.548i −0.00460469 + 0.0165846i −0.965817 0.259226i \(-0.916533\pi\)
0.961212 + 0.275811i \(0.0889463\pi\)
\(564\) 1785.30 + 497.254i 0.133288 + 0.0371244i
\(565\) 1.43236 1.88424i 0.000106655 0.000140302i
\(566\) 2211.67 614.066i 0.164246 0.0456027i
\(567\) 7069.01 1531.86i 0.523581 0.113460i
\(568\) −2340.26 + 383.666i −0.172879 + 0.0283420i
\(569\) 14839.7 + 8928.78i 1.09335 + 0.657845i 0.943669 0.330890i \(-0.107349\pi\)
0.149677 + 0.988735i \(0.452176\pi\)
\(570\) 278.360 61.0338i 0.0204548 0.00448496i
\(571\) −4601.73 2439.68i −0.337262 0.178805i 0.291167 0.956672i \(-0.405957\pi\)
−0.628428 + 0.777868i \(0.716301\pi\)
\(572\) −9343.77 + 9864.09i −0.683011 + 0.721046i
\(573\) −9220.41 + 492.379i −0.672231 + 0.0358978i
\(574\) −109.764 + 498.663i −0.00798164 + 0.0362610i
\(575\) −17783.3 + 1934.05i −1.28977 + 0.140271i
\(576\) 3089.03 + 11196.4i 0.223454 + 0.809928i
\(577\) 3128.93 + 3683.66i 0.225752 + 0.265776i 0.863364 0.504582i \(-0.168353\pi\)
−0.637612 + 0.770358i \(0.720078\pi\)
\(578\) 15140.5 5101.42i 1.08955 0.367113i
\(579\) −8220.58 6994.17i −0.590044 0.502017i
\(580\) 612.500 1537.26i 0.0438494 0.110054i
\(581\) −1651.89 + 1944.75i −0.117955 + 0.138867i
\(582\) 4244.85 + 8022.44i 0.302328 + 0.571376i
\(583\) −12588.7 + 8535.34i −0.894289 + 0.606343i
\(584\) −156.376 + 62.3059i −0.0110803 + 0.00441479i
\(585\) 1205.46 1771.69i 0.0851958 0.125214i
\(586\) 3248.31 29867.8i 0.228987 2.10550i
\(587\) −10487.2 + 4851.90i −0.737400 + 0.341157i −0.752379 0.658730i \(-0.771094\pi\)
0.0149794 + 0.999888i \(0.495232\pi\)
\(588\) −7769.32 + 5258.49i −0.544900 + 0.368804i
\(589\) 3001.14i 0.209949i
\(590\) 485.842 2294.95i 0.0339014 0.160138i
\(591\) 3853.78 2924.61i 0.268229 0.203558i
\(592\) −3368.32 182.625i −0.233846 0.0126788i
\(593\) 190.415 + 411.574i 0.0131862 + 0.0285014i 0.914057 0.405587i \(-0.132933\pi\)
−0.900870 + 0.434088i \(0.857071\pi\)
\(594\) 16236.7 4465.35i 1.12155 0.308444i
\(595\) 359.534 + 121.141i 0.0247722 + 0.00834672i
\(596\) 5829.43 + 14630.8i 0.400643 + 1.00554i
\(597\) −6470.10 + 19151.0i −0.443557 + 1.31289i
\(598\) 33779.0 + 5537.79i 2.30991 + 0.378691i
\(599\) 15553.1 + 13210.9i 1.06091 + 0.901142i 0.995313 0.0967042i \(-0.0308301\pi\)
0.0655935 + 0.997846i \(0.479106\pi\)
\(600\) −1494.39 + 413.603i −0.101680 + 0.0281421i
\(601\) 871.562 + 3959.54i 0.0591543 + 0.268741i 0.996910 0.0785556i \(-0.0250308\pi\)
−0.937755 + 0.347296i \(0.887100\pi\)
\(602\) −1825.87 5418.98i −0.123616 0.366879i
\(603\) −9778.82 21227.3i −0.660405 1.43357i
\(604\) −10563.9 17557.4i −0.711656 1.18278i
\(605\) −56.2841 517.524i −0.00378227 0.0347774i
\(606\) −10856.3 23515.8i −0.727736 1.57635i
\(607\) 3355.04 4948.31i 0.224344 0.330883i −0.698814 0.715303i \(-0.746288\pi\)
0.923158 + 0.384421i \(0.125599\pi\)
\(608\) 1919.30 + 1818.06i 0.128023 + 0.121270i
\(609\) −1409.52 8641.78i −0.0937873 0.575012i
\(610\) −1210.88 560.213i −0.0803723 0.0371842i
\(611\) 1497.79 2489.34i 0.0991718 0.164825i
\(612\) 633.782 5740.44i 0.0418613 0.379156i
\(613\) 9825.63 + 10372.8i 0.647395 + 0.683447i 0.964240 0.265031i \(-0.0853821\pi\)
−0.316845 + 0.948477i \(0.602623\pi\)
\(614\) −9795.35 35279.7i −0.643825 2.31885i
\(615\) 0.0733454 89.9807i 4.80906e−6 0.00589979i
\(616\) −585.221 + 444.874i −0.0382780 + 0.0290982i
\(617\) −20789.7 5772.22i −1.35650 0.376630i −0.488227 0.872717i \(-0.662356\pi\)
−0.868273 + 0.496086i \(0.834770\pi\)
\(618\) 13094.4 + 6071.09i 0.852323 + 0.395170i
\(619\) −1586.11 29254.0i −0.102990 1.89954i −0.359720 0.933060i \(-0.617128\pi\)
0.256730 0.966483i \(-0.417355\pi\)
\(620\) −149.419 2755.87i −0.00967872 0.178513i
\(621\) −15486.0 13219.2i −1.00069 0.854219i
\(622\) 9376.78 + 2603.45i 0.604461 + 0.167828i
\(623\) 7712.69 5863.04i 0.495991 0.377043i
\(624\) 21422.7 + 17.4622i 1.37435 + 0.00112027i
\(625\) 4006.20 + 14429.0i 0.256397 + 0.923458i
\(626\) −20310.8 21441.9i −1.29678 1.36899i
\(627\) 1159.65 1222.23i 0.0738627 0.0778487i
\(628\) −6156.39 + 10232.0i −0.391189 + 0.650161i
\(629\) 1293.83 + 598.588i 0.0820162 + 0.0379448i
\(630\) −955.257 + 1005.16i −0.0604100 + 0.0635662i
\(631\) −5744.11 5441.11i −0.362392 0.343276i 0.484740 0.874658i \(-0.338914\pi\)
−0.847132 + 0.531382i \(0.821673\pi\)
\(632\) −1167.04 + 1721.26i −0.0734532 + 0.108335i
\(633\) 20992.0 9691.18i 1.31810 0.608514i
\(634\) 4150.93 + 38167.2i 0.260023 + 2.39087i
\(635\) 539.544 + 896.730i 0.0337184 + 0.0560404i
\(636\) −18616.3 4113.67i −1.16067 0.256474i
\(637\) 4695.89 + 13936.9i 0.292085 + 0.866876i
\(638\) −4382.17 19908.4i −0.271931 1.23539i
\(639\) −16040.0 + 21029.0i −0.993007 + 1.30187i
\(640\) 310.781 + 263.980i 0.0191948 + 0.0163043i
\(641\) 25951.4 + 4254.52i 1.59909 + 0.262158i 0.894371 0.447326i \(-0.147623\pi\)
0.704722 + 0.709484i \(0.251072\pi\)
\(642\) 13989.7 + 4726.40i 0.860018 + 0.290554i
\(643\) −10233.5 25684.2i −0.627637 1.57525i −0.806409 0.591359i \(-0.798592\pi\)
0.178772 0.983891i \(-0.442788\pi\)
\(644\) −10074.2 3394.41i −0.616430 0.207700i
\(645\) 518.825 + 863.887i 0.0316724 + 0.0527373i
\(646\) −505.537 1092.70i −0.0307896 0.0665506i
\(647\) −768.541 41.6691i −0.0466994 0.00253197i 0.0307744 0.999526i \(-0.490203\pi\)
−0.0774738 + 0.996994i \(0.524685\pi\)
\(648\) −1509.30 914.829i −0.0914980 0.0554597i
\(649\) −5236.88 12842.3i −0.316742 0.776739i
\(650\) 29071.8i 1.75429i
\(651\) −8185.46 12093.9i −0.492801 0.728104i
\(652\) −673.221 + 311.465i −0.0404377 + 0.0187085i
\(653\) 1108.77 10194.9i 0.0664462 0.610963i −0.912817 0.408369i \(-0.866098\pi\)
0.979263 0.202593i \(-0.0649369\pi\)
\(654\) 1772.84 595.730i 0.105999 0.0356191i
\(655\) 2404.93 958.211i 0.143463 0.0571609i
\(656\) 744.541 504.811i 0.0443132 0.0300451i
\(657\) −791.038 + 1702.51i −0.0469731 + 0.101098i
\(658\) −1217.06 + 1432.84i −0.0721064 + 0.0848902i
\(659\) 7996.56 20069.9i 0.472689 1.18636i −0.478593 0.878037i \(-0.658853\pi\)
0.951282 0.308322i \(-0.0997676\pi\)
\(660\) −1004.02 + 1180.08i −0.0592145 + 0.0695977i
\(661\) 27234.5 9176.37i 1.60257 0.539969i 0.630810 0.775938i \(-0.282723\pi\)
0.971761 + 0.235969i \(0.0758263\pi\)
\(662\) −21235.5 25000.4i −1.24674 1.46777i
\(663\) −8407.77 3357.90i −0.492505 0.196697i
\(664\) 618.958 67.3158i 0.0361751 0.00393428i
\(665\) −29.8249 + 135.496i −0.00173919 + 0.00790121i
\(666\) −3976.72 + 3366.72i −0.231374 + 0.195882i
\(667\) −16950.2 + 17894.1i −0.983982 + 1.03878i
\(668\) −6048.18 3206.54i −0.350316 0.185726i
\(669\) 730.033 + 3329.50i 0.0421894 + 0.192415i
\(670\) 3839.24 + 2309.99i 0.221377 + 0.133198i
\(671\) −7784.14 + 1276.15i −0.447844 + 0.0734203i
\(672\) −12693.0 2091.54i −0.728635 0.120064i
\(673\) −4145.13 + 1150.89i −0.237419 + 0.0659191i −0.384200 0.923250i \(-0.625523\pi\)
0.146781 + 0.989169i \(0.453109\pi\)
\(674\) −2903.13 + 3819.01i −0.165912 + 0.218253i
\(675\) −8951.50 + 14795.5i −0.510435 + 0.843672i
\(676\) −2803.48 + 10097.2i −0.159506 + 0.574489i
\(677\) 2481.14 1315.42i 0.140854 0.0746760i −0.396491 0.918039i \(-0.629772\pi\)
0.537345 + 0.843363i \(0.319427\pi\)
\(678\) 27.8753 23.6384i 0.00157897 0.00133898i
\(679\) −4412.31 + 239.229i −0.249380 + 0.0135210i
\(680\) −43.3623 81.7900i −0.00244540 0.00461251i
\(681\) 6241.23 2480.84i 0.351196 0.139598i
\(682\) −20575.2 27066.2i −1.15523 1.51968i
\(683\) 17730.0 + 13478.0i 0.993294 + 0.755082i 0.969615 0.244637i \(-0.0786689\pi\)
0.0236790 + 0.999720i \(0.492462\pi\)
\(684\) 2111.96 + 3.44302i 0.118060 + 0.000192467i
\(685\) 627.028 593.952i 0.0349745 0.0331296i
\(686\) −3699.06 22563.3i −0.205876 1.25579i
\(687\) 7654.87 826.204i 0.425111 0.0458830i
\(688\) −4230.02 + 9143.04i −0.234401 + 0.506650i
\(689\) −13999.4 + 26405.7i −0.774073 + 1.46006i
\(690\) 3880.21 + 425.199i 0.214083 + 0.0234595i
\(691\) 8891.39 + 6028.51i 0.489500 + 0.331889i 0.780841 0.624730i \(-0.214791\pi\)
−0.291341 + 0.956619i \(0.594101\pi\)
\(692\) 7736.43 + 1702.92i 0.424992 + 0.0935479i
\(693\) −1339.53 + 8088.18i −0.0734267 + 0.443354i
\(694\) −24568.4 + 14782.3i −1.34381 + 0.808542i
\(695\) −534.794 + 454.258i −0.0291884 + 0.0247928i
\(696\) −1200.41 + 1767.38i −0.0653759 + 0.0962532i
\(697\) −371.270 + 81.7228i −0.0201763 + 0.00444114i
\(698\) −20207.9 8051.55i −1.09581 0.436613i
\(699\) 13866.6 + 763.161i 0.750332 + 0.0412953i
\(700\) −1460.69 + 8909.83i −0.0788700 + 0.481086i
\(701\) 5832.19 + 8601.83i 0.314235 + 0.463462i 0.951705 0.307013i \(-0.0993296\pi\)
−0.637470 + 0.770475i \(0.720019\pi\)
\(702\) 24079.0 22697.4i 1.29459 1.22031i
\(703\) −166.458 + 494.029i −0.00893041 + 0.0265045i
\(704\) −13087.6 1423.36i −0.700650 0.0762003i
\(705\) 155.421 292.578i 0.00830281 0.0156300i
\(706\) 1010.00 18628.3i 0.0538410 0.993039i
\(707\) 12609.9 0.670784
\(708\) 7185.60 15830.6i 0.381429 0.840326i
\(709\) −18484.3 −0.979116 −0.489558 0.871971i \(-0.662842\pi\)
−0.489558 + 0.871971i \(0.662842\pi\)
\(710\) 274.508 5063.00i 0.0145100 0.267621i
\(711\) 3714.82 + 22893.1i 0.195945 + 1.20754i
\(712\) −2350.10 255.589i −0.123699 0.0134531i
\(713\) −13126.0 + 38956.5i −0.689441 + 2.04619i
\(714\) 5017.48 + 3024.49i 0.262989 + 0.158528i
\(715\) 1363.05 + 2010.35i 0.0712941 + 0.105151i
\(716\) −186.227 + 1135.94i −0.00972016 + 0.0592904i
\(717\) 1805.65 32808.5i 0.0940490 1.70886i
\(718\) 2060.89 + 821.134i 0.107119 + 0.0426803i
\(719\) −20101.7 + 4424.72i −1.04265 + 0.229505i −0.703106 0.711085i \(-0.748204\pi\)
−0.339545 + 0.940590i \(0.610273\pi\)
\(720\) 2439.58 128.282i 0.126275 0.00663998i
\(721\) −5355.66 + 4549.14i −0.276637 + 0.234977i
\(722\) −22673.5 + 13642.2i −1.16873 + 0.703200i
\(723\) 19542.8 + 20664.8i 1.00526 + 1.06298i
\(724\) −26788.7 5896.63i −1.37513 0.302688i
\(725\) 17326.5 + 11747.6i 0.887570 + 0.601787i
\(726\) 875.646 7990.82i 0.0447634 0.408495i
\(727\) −1286.68 + 2426.93i −0.0656398 + 0.123810i −0.914161 0.405352i \(-0.867149\pi\)
0.848521 + 0.529162i \(0.177494\pi\)
\(728\) −606.545 + 1311.03i −0.0308792 + 0.0667443i
\(729\) −19243.3 + 4137.20i −0.977660 + 0.210191i
\(730\) −58.2260 355.163i −0.00295211 0.0180071i
\(731\) 3090.90 2927.86i 0.156390 0.148140i
\(732\) −7866.77 5990.29i −0.397219 0.302469i
\(733\) −23270.9 17690.1i −1.17262 0.891402i −0.176936 0.984222i \(-0.556619\pi\)
−0.995683 + 0.0928207i \(0.970412\pi\)
\(734\) −19494.5 25644.6i −0.980322 1.28959i
\(735\) 619.487 + 1558.49i 0.0310886 + 0.0782118i
\(736\) 16962.1 + 31993.8i 0.849497 + 1.60232i
\(737\) 26451.5 1434.16i 1.32206 0.0716798i
\(738\) 300.907 1356.50i 0.0150089 0.0676603i
\(739\) −12239.7 + 6489.07i −0.609261 + 0.323010i −0.744315 0.667828i \(-0.767224\pi\)
0.135054 + 0.990838i \(0.456879\pi\)
\(740\) 128.257 461.942i 0.00637140 0.0229477i
\(741\) 888.321 3189.36i 0.0440395 0.158116i
\(742\) 11704.1 15396.5i 0.579073 0.761758i
\(743\) −19482.6 + 5409.31i −0.961974 + 0.267091i −0.712799 0.701368i \(-0.752573\pi\)
−0.249174 + 0.968459i \(0.580159\pi\)
\(744\) −579.348 + 3515.91i −0.0285483 + 0.173252i
\(745\) 2778.34 455.486i 0.136631 0.0223996i
\(746\) 42227.0 + 25407.2i 2.07244 + 1.24695i
\(747\) 4503.82 5284.82i 0.220597 0.258851i
\(748\) 5783.52 + 3066.23i 0.282709 + 0.149883i
\(749\) −4943.97 + 5219.29i −0.241187 + 0.254618i
\(750\) −356.067 6667.80i −0.0173356 0.324631i
\(751\) −3506.53 + 15930.3i −0.170380 + 0.774044i 0.811472 + 0.584392i \(0.198667\pi\)
−0.981851 + 0.189652i \(0.939264\pi\)
\(752\) 3292.58 358.089i 0.159665 0.0173646i
\(753\) −2898.50 + 7257.47i −0.140275 + 0.351231i
\(754\) −25932.6 30530.2i −1.25253 1.47460i
\(755\) −3471.22 + 1169.59i −0.167326 + 0.0563785i
\(756\) −8520.08 + 5746.40i −0.409884 + 0.276448i
\(757\) −10635.7 + 26693.5i −0.510647 + 1.28163i 0.417251 + 0.908791i \(0.362994\pi\)
−0.927898 + 0.372835i \(0.878386\pi\)
\(758\) 18298.0 21542.1i 0.876800 1.03225i
\(759\) 20398.5 10793.3i 0.975521 0.516170i
\(760\) 28.0198 18.9979i 0.00133735 0.000906745i
\(761\) 2168.42 863.979i 0.103292 0.0411554i −0.317920 0.948118i \(-0.602984\pi\)
0.421212 + 0.906962i \(0.361605\pi\)
\(762\) 5147.57 + 15318.7i 0.244720 + 0.728264i
\(763\) −98.4465 + 905.200i −0.00467104 + 0.0429495i
\(764\) 11906.6 5508.56i 0.563828 0.260854i
\(765\) −977.841 331.249i −0.0462143 0.0156553i
\(766\) 33389.9i 1.57497i
\(767\) −20912.6 17475.8i −0.984496 0.822702i
\(768\) 14616.6 + 19260.4i 0.686761 + 0.904949i
\(769\) −34705.9 1881.70i −1.62748 0.0882391i −0.782361 0.622825i \(-0.785985\pi\)
−0.845114 + 0.534586i \(0.820468\pi\)
\(770\) −659.953 1426.46i −0.0308871 0.0667613i
\(771\) −19726.1 + 11846.9i −0.921424 + 0.553380i
\(772\) 14532.5 + 4896.57i 0.677508 + 0.228279i
\(773\) 383.189 +