Properties

Label 162.3.h.a.5.3
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.3
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(-2.45330 + 1.72665i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-4.47588 + 3.33217i) q^{5} +(3.17615 + 2.81284i) q^{6} +(7.95611 - 5.23282i) q^{7} +(1.81808 + 2.16670i) q^{8} +(3.03734 - 8.47199i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(-2.45330 + 1.72665i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-4.47588 + 3.33217i) q^{5} +(3.17615 + 2.81284i) q^{6} +(7.95611 - 5.23282i) q^{7} +(1.81808 + 2.16670i) q^{8} +(3.03734 - 8.47199i) q^{9} +(6.04514 + 5.07248i) q^{10} +(0.259654 - 2.22149i) q^{11} +(2.83485 - 5.28806i) q^{12} +(-6.44003 - 21.5112i) q^{13} +(-9.79565 - 9.24172i) q^{14} +(5.22717 - 15.9031i) q^{15} +(2.38863 - 3.20849i) q^{16} +(23.0288 + 4.06060i) q^{17} +(-12.6488 - 1.41660i) q^{18} +(-2.79692 - 15.8621i) q^{19} +(5.00864 - 9.97302i) q^{20} +(-10.4834 + 26.5751i) q^{21} +(-3.14165 + 0.367207i) q^{22} +(-1.70366 + 2.59028i) q^{23} +(-8.20143 - 2.17637i) q^{24} +(1.76008 - 5.87909i) q^{25} +(-27.5011 + 15.8777i) q^{26} +(7.17670 + 26.0287i) q^{27} +(-9.52271 + 16.4938i) q^{28} +(7.80788 - 7.36635i) q^{29} +(-23.5889 - 2.00643i) q^{30} +(2.06123 - 35.3900i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(3.19873 + 5.89830i) q^{33} +(-1.92285 - 33.0141i) q^{34} +(-18.1740 + 49.9326i) q^{35} +(2.17592 + 17.8680i) q^{36} +(25.6684 - 9.34254i) q^{37} +(-20.9156 + 9.02209i) q^{38} +(52.9417 + 41.6537i) q^{39} +(-15.3573 - 3.63975i) q^{40} +(11.9342 - 50.3543i) q^{41} +(39.9889 + 5.75899i) q^{42} +(5.27347 + 12.2253i) q^{43} +(1.52993 + 4.20345i) q^{44} +(14.6354 + 48.0406i) q^{45} +(4.12010 + 1.49959i) q^{46} +(-52.0649 + 3.03243i) q^{47} +(-0.320076 + 11.9957i) q^{48} +(16.5094 - 38.2732i) q^{49} +(-8.66421 - 0.504633i) q^{50} +(-63.5078 + 29.8009i) q^{51} +(30.8185 + 32.6656i) q^{52} +(-69.5860 - 40.1755i) q^{53} +(33.4774 - 18.3648i) q^{54} +(6.24019 + 10.8083i) q^{55} +(25.8028 + 7.72485i) q^{56} +(34.2500 + 34.0852i) q^{57} +(-12.6833 - 8.34191i) q^{58} +(3.87675 + 33.1677i) q^{59} +(4.93227 + 33.1150i) q^{60} +(82.0787 + 41.2215i) q^{61} +(-49.3722 + 8.70565i) q^{62} +(-20.1670 - 83.2979i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(100.504 + 74.8223i) q^{65} +(7.07338 - 6.32542i) q^{66} +(-78.3407 + 83.0363i) q^{67} +(-44.8034 + 13.4133i) q^{68} +(-0.292946 - 9.29636i) q^{69} +(74.6392 + 8.72407i) q^{70} +(-10.1349 + 12.0783i) q^{71} +(23.8784 - 8.82174i) q^{72} +(105.776 - 88.7568i) q^{73} +(-21.2277 - 32.2751i) q^{74} +(5.83314 + 17.4622i) q^{75} +(19.2366 + 25.8393i) q^{76} +(-9.55879 - 19.0331i) q^{77} +(40.0529 - 86.4376i) q^{78} +(-49.1450 + 11.6476i) q^{79} +22.3202i q^{80} +(-62.5492 - 51.4646i) q^{81} -73.1845 q^{82} +(-29.0392 - 122.526i) q^{83} +(-5.11707 - 56.9067i) q^{84} +(-116.605 + 58.5612i) q^{85} +(15.1032 - 11.2439i) q^{86} +(-6.43591 + 31.5534i) q^{87} +(5.28537 - 3.47624i) q^{88} +(33.5735 + 40.0114i) q^{89} +(61.3351 - 35.8076i) q^{90} +(-163.802 - 137.446i) q^{91} +(0.719851 - 6.15872i) q^{92} +(56.0495 + 90.3813i) q^{93} +(21.1533 + 70.6571i) q^{94} +(65.3740 + 61.6771i) q^{95} +(16.6116 - 3.47183i) q^{96} +(27.8378 - 37.3927i) q^{97} +(-58.0518 - 10.2361i) q^{98} +(-18.0317 - 8.94719i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) −2.45330 + 1.72665i −0.817766 + 0.575551i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −4.47588 + 3.33217i −0.895177 + 0.666434i −0.943133 0.332415i \(-0.892137\pi\)
0.0479565 + 0.998849i \(0.484729\pi\)
\(6\) 3.17615 + 2.81284i 0.529359 + 0.468806i
\(7\) 7.95611 5.23282i 1.13659 0.747545i 0.165486 0.986212i \(-0.447081\pi\)
0.971101 + 0.238667i \(0.0767104\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) 3.03734 8.47199i 0.337482 0.941332i
\(10\) 6.04514 + 5.07248i 0.604514 + 0.507248i
\(11\) 0.259654 2.22149i 0.0236049 0.201953i −0.976290 0.216468i \(-0.930546\pi\)
0.999895 + 0.0145148i \(0.00462037\pi\)
\(12\) 2.83485 5.28806i 0.236238 0.440672i
\(13\) −6.44003 21.5112i −0.495387 1.65471i −0.730632 0.682771i \(-0.760775\pi\)
0.235245 0.971936i \(-0.424411\pi\)
\(14\) −9.79565 9.24172i −0.699689 0.660123i
\(15\) 5.22717 15.9031i 0.348478 1.06021i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) 23.0288 + 4.06060i 1.35464 + 0.238859i 0.803375 0.595474i \(-0.203036\pi\)
0.551261 + 0.834333i \(0.314147\pi\)
\(18\) −12.6488 1.41660i −0.702714 0.0787002i
\(19\) −2.79692 15.8621i −0.147206 0.834848i −0.965569 0.260146i \(-0.916229\pi\)
0.818363 0.574702i \(-0.194882\pi\)
\(20\) 5.00864 9.97302i 0.250432 0.498651i
\(21\) −10.4834 + 26.5751i −0.499212 + 1.26548i
\(22\) −3.14165 + 0.367207i −0.142802 + 0.0166912i
\(23\) −1.70366 + 2.59028i −0.0740720 + 0.112621i −0.870624 0.491949i \(-0.836285\pi\)
0.796552 + 0.604570i \(0.206655\pi\)
\(24\) −8.20143 2.17637i −0.341726 0.0906821i
\(25\) 1.76008 5.87909i 0.0704033 0.235164i
\(26\) −27.5011 + 15.8777i −1.05773 + 0.610682i
\(27\) 7.17670 + 26.0287i 0.265804 + 0.964027i
\(28\) −9.52271 + 16.4938i −0.340097 + 0.589065i
\(29\) 7.80788 7.36635i 0.269237 0.254012i −0.539768 0.841814i \(-0.681488\pi\)
0.809005 + 0.587802i \(0.200006\pi\)
\(30\) −23.5889 2.00643i −0.786298 0.0668810i
\(31\) 2.06123 35.3900i 0.0664914 1.14161i −0.785777 0.618509i \(-0.787737\pi\)
0.852269 0.523104i \(-0.175226\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) 3.19873 + 5.89830i 0.0969311 + 0.178736i
\(34\) −1.92285 33.0141i −0.0565545 0.971004i
\(35\) −18.1740 + 49.9326i −0.519257 + 1.42665i
\(36\) 2.17592 + 17.8680i 0.0604421 + 0.496333i
\(37\) 25.6684 9.34254i 0.693741 0.252501i 0.0290047 0.999579i \(-0.490766\pi\)
0.664736 + 0.747078i \(0.268544\pi\)
\(38\) −20.9156 + 9.02209i −0.550409 + 0.237423i
\(39\) 52.9417 + 41.6537i 1.35748 + 1.06804i
\(40\) −15.3573 3.63975i −0.383933 0.0909938i
\(41\) 11.9342 50.3543i 0.291078 1.22815i −0.609263 0.792969i \(-0.708534\pi\)
0.900341 0.435186i \(-0.143317\pi\)
\(42\) 39.9889 + 5.75899i 0.952116 + 0.137119i
\(43\) 5.27347 + 12.2253i 0.122639 + 0.284309i 0.968465 0.249150i \(-0.0801512\pi\)
−0.845826 + 0.533459i \(0.820892\pi\)
\(44\) 1.52993 + 4.20345i 0.0347711 + 0.0955329i
\(45\) 14.6354 + 48.0406i 0.325230 + 1.06757i
\(46\) 4.12010 + 1.49959i 0.0895674 + 0.0325999i
\(47\) −52.0649 + 3.03243i −1.10776 + 0.0645198i −0.602256 0.798303i \(-0.705731\pi\)
−0.505507 + 0.862823i \(0.668694\pi\)
\(48\) −0.320076 + 11.9957i −0.00666825 + 0.249911i
\(49\) 16.5094 38.2732i 0.336927 0.781085i
\(50\) −8.66421 0.504633i −0.173284 0.0100927i
\(51\) −63.5078 + 29.8009i −1.24525 + 0.584332i
\(52\) 30.8185 + 32.6656i 0.592663 + 0.628186i
\(53\) −69.5860 40.1755i −1.31294 0.758029i −0.330362 0.943854i \(-0.607171\pi\)
−0.982583 + 0.185826i \(0.940504\pi\)
\(54\) 33.4774 18.3648i 0.619951 0.340089i
\(55\) 6.24019 + 10.8083i 0.113458 + 0.196515i
\(56\) 25.8028 + 7.72485i 0.460764 + 0.137944i
\(57\) 34.2500 + 34.0852i 0.600878 + 0.597985i
\(58\) −12.6833 8.34191i −0.218677 0.143826i
\(59\) 3.87675 + 33.1677i 0.0657076 + 0.562165i 0.985490 + 0.169735i \(0.0542913\pi\)
−0.919782 + 0.392430i \(0.871635\pi\)
\(60\) 4.93227 + 33.1150i 0.0822045 + 0.551916i
\(61\) 82.0787 + 41.2215i 1.34555 + 0.675762i 0.968169 0.250296i \(-0.0805278\pi\)
0.377383 + 0.926057i \(0.376824\pi\)
\(62\) −49.3722 + 8.70565i −0.796326 + 0.140414i
\(63\) −20.1670 83.2979i −0.320111 1.32219i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) 100.504 + 74.8223i 1.54621 + 1.15111i
\(66\) 7.07338 6.32542i 0.107172 0.0958396i
\(67\) −78.3407 + 83.0363i −1.16926 + 1.23935i −0.203743 + 0.979024i \(0.565311\pi\)
−0.965521 + 0.260324i \(0.916171\pi\)
\(68\) −44.8034 + 13.4133i −0.658873 + 0.197254i
\(69\) −0.292946 9.29636i −0.00424560 0.134730i
\(70\) 74.6392 + 8.72407i 1.06627 + 0.124630i
\(71\) −10.1349 + 12.0783i −0.142744 + 0.170116i −0.832680 0.553755i \(-0.813194\pi\)
0.689935 + 0.723871i \(0.257639\pi\)
\(72\) 23.8784 8.82174i 0.331644 0.122524i
\(73\) 105.776 88.7568i 1.44899 1.21585i 0.515677 0.856783i \(-0.327541\pi\)
0.933313 0.359064i \(-0.116904\pi\)
\(74\) −21.2277 32.2751i −0.286861 0.436151i
\(75\) 5.83314 + 17.4622i 0.0777752 + 0.232829i
\(76\) 19.2366 + 25.8393i 0.253114 + 0.339991i
\(77\) −9.55879 19.0331i −0.124140 0.247183i
\(78\) 40.0529 86.4376i 0.513499 1.10817i
\(79\) −49.1450 + 11.6476i −0.622089 + 0.147438i −0.529560 0.848272i \(-0.677643\pi\)
−0.0925284 + 0.995710i \(0.529495\pi\)
\(80\) 22.3202i 0.279002i
\(81\) −62.5492 51.4646i −0.772212 0.635365i
\(82\) −73.1845 −0.892494
\(83\) −29.0392 122.526i −0.349870 1.47622i −0.808980 0.587837i \(-0.799980\pi\)
0.459110 0.888379i \(-0.348168\pi\)
\(84\) −5.11707 56.9067i −0.0609175 0.677461i
\(85\) −116.605 + 58.5612i −1.37182 + 0.688955i
\(86\) 15.1032 11.2439i 0.175619 0.130743i
\(87\) −6.43591 + 31.5534i −0.0739760 + 0.362682i
\(88\) 5.28537 3.47624i 0.0600610 0.0395027i
\(89\) 33.5735 + 40.0114i 0.377231 + 0.449566i 0.920938 0.389709i \(-0.127424\pi\)
−0.543707 + 0.839275i \(0.682980\pi\)
\(90\) 61.3351 35.8076i 0.681501 0.397862i
\(91\) −163.802 137.446i −1.80002 1.51040i
\(92\) 0.719851 6.15872i 0.00782447 0.0669426i
\(93\) 56.0495 + 90.3813i 0.602682 + 0.971841i
\(94\) 21.1533 + 70.6571i 0.225036 + 0.751671i
\(95\) 65.3740 + 61.6771i 0.688147 + 0.649233i
\(96\) 16.6116 3.47183i 0.173038 0.0361649i
\(97\) 27.8378 37.3927i 0.286988 0.385492i −0.635127 0.772408i \(-0.719052\pi\)
0.922115 + 0.386916i \(0.126460\pi\)
\(98\) −58.0518 10.2361i −0.592366 0.104450i
\(99\) −18.0317 8.94719i −0.182139 0.0903756i
\(100\) 2.13132 + 12.0873i 0.0213132 + 0.120873i
\(101\) 17.1333 34.1153i 0.169637 0.337775i −0.792710 0.609599i \(-0.791331\pi\)
0.962347 + 0.271824i \(0.0876268\pi\)
\(102\) 61.7213 + 77.6734i 0.605111 + 0.761503i
\(103\) −83.0770 + 9.71030i −0.806572 + 0.0942748i −0.509379 0.860542i \(-0.670125\pi\)
−0.297194 + 0.954817i \(0.596051\pi\)
\(104\) 34.8998 53.0626i 0.335575 0.510218i
\(105\) −41.6301 153.880i −0.396477 1.46552i
\(106\) −32.5905 + 108.860i −0.307457 + 1.02698i
\(107\) −103.541 + 59.7796i −0.967676 + 0.558688i −0.898527 0.438918i \(-0.855362\pi\)
−0.0691493 + 0.997606i \(0.522028\pi\)
\(108\) −36.1900 40.0785i −0.335093 0.371097i
\(109\) 23.1052 40.0193i 0.211974 0.367150i −0.740358 0.672213i \(-0.765344\pi\)
0.952332 + 0.305063i \(0.0986774\pi\)
\(110\) 12.8381 12.1121i 0.116710 0.110110i
\(111\) −46.8409 + 67.2405i −0.421990 + 0.605770i
\(112\) 2.21479 38.0264i 0.0197749 0.339522i
\(113\) −121.086 52.2314i −1.07156 0.462225i −0.214117 0.976808i \(-0.568687\pi\)
−0.857440 + 0.514583i \(0.827947\pi\)
\(114\) 35.7341 58.2478i 0.313457 0.510945i
\(115\) −1.00590 17.2707i −0.00874698 0.150180i
\(116\) −7.34272 + 20.1740i −0.0632993 + 0.173914i
\(117\) −201.803 10.7769i −1.72481 0.0921101i
\(118\) 44.3775 16.1521i 0.376081 0.136882i
\(119\) 204.468 88.1990i 1.71822 0.741168i
\(120\) 43.9607 17.5874i 0.366339 0.146561i
\(121\) 112.871 + 26.7509i 0.932817 + 0.221082i
\(122\) 29.9554 126.392i 0.245536 1.03600i
\(123\) 57.6663 + 144.140i 0.468832 + 1.17187i
\(124\) 28.0820 + 65.1015i 0.226468 + 0.525012i
\(125\) −36.0000 98.9092i −0.288000 0.791273i
\(126\) −108.048 + 54.9184i −0.857527 + 0.435861i
\(127\) 78.3720 + 28.5251i 0.617102 + 0.224607i 0.631608 0.775288i \(-0.282395\pi\)
−0.0145057 + 0.999895i \(0.504617\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) −34.0462 20.8868i −0.263924 0.161913i
\(130\) 70.1842 162.705i 0.539878 1.25158i
\(131\) 173.994 + 10.1340i 1.32820 + 0.0773587i 0.707512 0.706701i \(-0.249818\pi\)
0.620685 + 0.784060i \(0.286855\pi\)
\(132\) −11.0113 7.67065i −0.0834187 0.0581110i
\(133\) −105.256 111.565i −0.791399 0.838834i
\(134\) 139.816 + 80.7227i 1.04340 + 0.602408i
\(135\) −118.854 92.5876i −0.880402 0.685834i
\(136\) 33.0701 + 57.2790i 0.243162 + 0.421169i
\(137\) 236.569 + 70.8240i 1.72678 + 0.516963i 0.987660 0.156613i \(-0.0500574\pi\)
0.739118 + 0.673576i \(0.235243\pi\)
\(138\) −12.6971 + 3.43504i −0.0920081 + 0.0248916i
\(139\) −83.1624 54.6968i −0.598291 0.393502i 0.213933 0.976848i \(-0.431373\pi\)
−0.812223 + 0.583346i \(0.801743\pi\)
\(140\) −12.3377 105.556i −0.0881264 0.753970i
\(141\) 122.495 97.3374i 0.868756 0.690336i
\(142\) 19.9262 + 10.0073i 0.140325 + 0.0704740i
\(143\) −49.4590 + 8.72095i −0.345867 + 0.0609857i
\(144\) −19.9272 29.9818i −0.138384 0.208207i
\(145\) −10.4012 + 58.9881i −0.0717324 + 0.406815i
\(146\) −156.636 116.611i −1.07285 0.798704i
\(147\) 25.5819 + 122.402i 0.174027 + 0.832663i
\(148\) −37.4904 + 39.7375i −0.253314 + 0.268497i
\(149\) −138.621 + 41.5003i −0.930339 + 0.278525i −0.715893 0.698210i \(-0.753980\pi\)
−0.214447 + 0.976736i \(0.568795\pi\)
\(150\) 22.1272 13.7221i 0.147515 0.0914804i
\(151\) 226.490 + 26.4729i 1.49993 + 0.175317i 0.826082 0.563549i \(-0.190564\pi\)
0.673852 + 0.738866i \(0.264639\pi\)
\(152\) 29.2834 34.8986i 0.192654 0.229596i
\(153\) 104.348 182.766i 0.682011 1.19455i
\(154\) −23.0738 + 19.3612i −0.149830 + 0.125722i
\(155\) 108.700 + 165.270i 0.701289 + 1.06626i
\(156\) −132.009 26.9258i −0.846212 0.172601i
\(157\) 45.7565 + 61.4616i 0.291443 + 0.391475i 0.923596 0.383368i \(-0.125236\pi\)
−0.632153 + 0.774844i \(0.717829\pi\)
\(158\) 32.0563 + 63.8294i 0.202888 + 0.403983i
\(159\) 240.084 21.5885i 1.50997 0.135777i
\(160\) 30.7146 7.27951i 0.191967 0.0454969i
\(161\) 29.5235i 0.183376i
\(162\) −50.4202 + 102.858i −0.311236 + 0.634927i
\(163\) −114.896 −0.704886 −0.352443 0.935833i \(-0.614649\pi\)
−0.352443 + 0.935833i \(0.614649\pi\)
\(164\) 23.8684 + 100.709i 0.145539 + 0.614077i
\(165\) −33.9713 15.7414i −0.205886 0.0954024i
\(166\) −159.136 + 79.9212i −0.958652 + 0.481453i
\(167\) −76.4244 + 56.8959i −0.457631 + 0.340694i −0.801162 0.598448i \(-0.795784\pi\)
0.343531 + 0.939141i \(0.388377\pi\)
\(168\) −76.6400 + 25.6011i −0.456191 + 0.152388i
\(169\) −280.060 + 184.198i −1.65716 + 1.08993i
\(170\) 118.615 + 141.360i 0.697736 + 0.831530i
\(171\) −142.879 24.4831i −0.835548 0.143176i
\(172\) −20.3985 17.1164i −0.118596 0.0995137i
\(173\) −7.29618 + 62.4228i −0.0421745 + 0.360826i 0.955629 + 0.294575i \(0.0951779\pi\)
−0.997803 + 0.0662511i \(0.978896\pi\)
\(174\) 45.5194 1.43440i 0.261606 0.00824369i
\(175\) −16.7608 55.9849i −0.0957758 0.319914i
\(176\) −6.50740 6.13942i −0.0369739 0.0348830i
\(177\) −66.7800 74.6765i −0.377288 0.421901i
\(178\) 44.1097 59.2497i 0.247807 0.332863i
\(179\) 259.946 + 45.8354i 1.45221 + 0.256064i 0.843415 0.537263i \(-0.180542\pi\)
0.608796 + 0.793327i \(0.291653\pi\)
\(180\) −69.2784 72.7246i −0.384880 0.404025i
\(181\) 29.0764 + 164.901i 0.160643 + 0.911053i 0.953443 + 0.301572i \(0.0975113\pi\)
−0.792800 + 0.609482i \(0.791378\pi\)
\(182\) −135.716 + 270.233i −0.745693 + 1.48480i
\(183\) −272.539 + 40.5929i −1.48928 + 0.221819i
\(184\) −8.70975 + 1.01802i −0.0473356 + 0.00553274i
\(185\) −83.7579 + 127.348i −0.452745 + 0.688366i
\(186\) 106.093 106.606i 0.570393 0.573152i
\(187\) 15.0001 50.1038i 0.0802144 0.267935i
\(188\) 90.3318 52.1531i 0.480488 0.277410i
\(189\) 193.302 + 169.533i 1.02276 + 0.897001i
\(190\) 63.5524 110.076i 0.334487 0.579348i
\(191\) 170.282 160.653i 0.891531 0.841116i −0.0965063 0.995332i \(-0.530767\pi\)
0.988037 + 0.154216i \(0.0492853\pi\)
\(192\) −10.1953 21.7269i −0.0531005 0.113161i
\(193\) −15.2596 + 261.997i −0.0790653 + 1.35750i 0.692532 + 0.721387i \(0.256495\pi\)
−0.771597 + 0.636111i \(0.780542\pi\)
\(194\) −60.5349 26.1122i −0.312036 0.134599i
\(195\) −375.758 10.0262i −1.92696 0.0514162i
\(196\) 4.84720 + 83.2231i 0.0247306 + 0.424608i
\(197\) −26.1408 + 71.8212i −0.132694 + 0.364575i −0.988190 0.153236i \(-0.951031\pi\)
0.855495 + 0.517811i \(0.173253\pi\)
\(198\) −6.43129 + 27.7314i −0.0324813 + 0.140058i
\(199\) 242.748 88.3531i 1.21984 0.443986i 0.349734 0.936849i \(-0.386272\pi\)
0.870107 + 0.492864i \(0.164050\pi\)
\(200\) 15.9382 6.87507i 0.0796910 0.0343753i
\(201\) 48.8182 338.980i 0.242876 1.68647i
\(202\) −52.5336 12.4507i −0.260068 0.0616371i
\(203\) 23.5736 99.4647i 0.116126 0.489974i
\(204\) 86.7560 110.267i 0.425275 0.540523i
\(205\) 114.373 + 265.147i 0.557918 + 1.29340i
\(206\) 40.4570 + 111.155i 0.196393 + 0.539586i
\(207\) 16.7703 + 22.3009i 0.0810158 + 0.107734i
\(208\) −84.4014 30.7196i −0.405776 0.147690i
\(209\) −35.9637 + 2.09465i −0.172075 + 0.0100222i
\(210\) −198.176 + 107.473i −0.943693 + 0.511777i
\(211\) −154.451 + 358.059i −0.731998 + 1.69696i −0.0149979 + 0.999888i \(0.504774\pi\)
−0.717000 + 0.697074i \(0.754485\pi\)
\(212\) 160.430 + 9.34400i 0.756746 + 0.0440755i
\(213\) 4.00886 47.1309i 0.0188210 0.221272i
\(214\) 116.031 + 122.986i 0.542203 + 0.574701i
\(215\) −64.3402 37.1468i −0.299257 0.172776i
\(216\) −43.3487 + 62.8720i −0.200688 + 0.291074i
\(217\) −168.790 292.353i −0.777834 1.34725i
\(218\) −62.6059 18.7430i −0.287183 0.0859769i
\(219\) −106.248 + 400.386i −0.485152 + 1.82825i
\(220\) −20.8544 13.7162i −0.0947928 0.0623462i
\(221\) −60.9578 521.528i −0.275827 2.35985i
\(222\) 107.806 + 42.5277i 0.485612 + 0.191566i
\(223\) −217.722 109.344i −0.976332 0.490332i −0.112248 0.993680i \(-0.535805\pi\)
−0.864084 + 0.503348i \(0.832101\pi\)
\(224\) −53.0502 + 9.35419i −0.236831 + 0.0417598i
\(225\) −44.4616 32.7682i −0.197607 0.145636i
\(226\) −32.3843 + 183.660i −0.143293 + 0.812656i
\(227\) 26.7044 + 19.8807i 0.117640 + 0.0875800i 0.654371 0.756174i \(-0.272933\pi\)
−0.536731 + 0.843754i \(0.680341\pi\)
\(228\) −91.8087 30.1765i −0.402670 0.132353i
\(229\) 187.802 199.059i 0.820097 0.869252i −0.173195 0.984888i \(-0.555409\pi\)
0.993292 + 0.115636i \(0.0368906\pi\)
\(230\) −23.4380 + 7.01688i −0.101904 + 0.0305082i
\(231\) 56.3141 + 30.1892i 0.243784 + 0.130689i
\(232\) 30.1560 + 3.52473i 0.129983 + 0.0151928i
\(233\) 20.4852 24.4134i 0.0879195 0.104778i −0.720291 0.693672i \(-0.755992\pi\)
0.808211 + 0.588893i \(0.200436\pi\)
\(234\) 50.9861 + 281.215i 0.217889 + 1.20177i
\(235\) 222.932 187.062i 0.948645 0.796008i
\(236\) −36.7001 55.7998i −0.155509 0.236440i
\(237\) 100.456 113.431i 0.423865 0.478613i
\(238\) −188.055 252.602i −0.790148 1.06135i
\(239\) −43.6212 86.8569i −0.182515 0.363418i 0.783706 0.621132i \(-0.213327\pi\)
−0.966221 + 0.257714i \(0.917031\pi\)
\(240\) −38.5392 54.7580i −0.160580 0.228159i
\(241\) 136.803 32.4230i 0.567649 0.134535i 0.0632373 0.997999i \(-0.479857\pi\)
0.504412 + 0.863463i \(0.331709\pi\)
\(242\) 164.045i 0.677873i
\(243\) 242.313 + 18.2571i 0.997174 + 0.0751322i
\(244\) −183.697 −0.752855
\(245\) 53.6385 + 226.318i 0.218933 + 0.923749i
\(246\) 179.543 126.364i 0.729851 0.513676i
\(247\) −323.201 + 162.317i −1.30850 + 0.657156i
\(248\) 80.4271 59.8757i 0.324303 0.241434i
\(249\) 282.802 + 250.452i 1.13575 + 1.00583i
\(250\) −124.367 + 81.7976i −0.497469 + 0.327190i
\(251\) 119.616 + 142.553i 0.476558 + 0.567939i 0.949746 0.313022i \(-0.101341\pi\)
−0.473188 + 0.880961i \(0.656897\pi\)
\(252\) 110.812 + 130.774i 0.439729 + 0.518943i
\(253\) 5.31191 + 4.45723i 0.0209957 + 0.0176175i
\(254\) 13.6929 117.150i 0.0539091 0.461222i
\(255\) 184.952 345.004i 0.725301 1.35296i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 1.80388 + 1.70187i 0.00701899 + 0.00662207i 0.689743 0.724054i \(-0.257723\pi\)
−0.682724 + 0.730676i \(0.739205\pi\)
\(258\) −17.6383 + 53.6628i −0.0683656 + 0.207995i
\(259\) 155.333 208.648i 0.599741 0.805592i
\(260\) −246.787 43.5153i −0.949182 0.167366i
\(261\) −38.6925 88.5223i −0.148247 0.339166i
\(262\) −42.8010 242.737i −0.163363 0.926476i
\(263\) −106.887 + 212.829i −0.406414 + 0.809237i 0.593576 + 0.804778i \(0.297716\pi\)
−0.999990 + 0.00445906i \(0.998581\pi\)
\(264\) −6.96431 + 17.6542i −0.0263800 + 0.0668721i
\(265\) 445.331 52.0517i 1.68049 0.196422i
\(266\) −119.196 + 181.228i −0.448104 + 0.681308i
\(267\) −151.452 40.1900i −0.567235 0.150524i
\(268\) 65.4824 218.726i 0.244337 0.816143i
\(269\) 26.5215 15.3122i 0.0985928 0.0569226i −0.449893 0.893083i \(-0.648538\pi\)
0.548486 + 0.836160i \(0.315205\pi\)
\(270\) −88.6460 + 193.751i −0.328319 + 0.717597i
\(271\) 57.4883 99.5727i 0.212134 0.367427i −0.740248 0.672334i \(-0.765292\pi\)
0.952382 + 0.304907i \(0.0986253\pi\)
\(272\) 68.0358 64.1885i 0.250132 0.235987i
\(273\) 639.176 + 54.3670i 2.34130 + 0.199147i
\(274\) 20.3059 348.639i 0.0741092 1.27241i
\(275\) −12.6033 5.43653i −0.0458302 0.0197692i
\(276\) 8.86797 + 16.3521i 0.0321303 + 0.0592468i
\(277\) 17.4267 + 299.205i 0.0629122 + 1.08016i 0.871059 + 0.491179i \(0.163434\pi\)
−0.808146 + 0.588982i \(0.799529\pi\)
\(278\) −48.1453 + 132.278i −0.173184 + 0.475820i
\(279\) −293.563 124.954i −1.05220 0.447864i
\(280\) −141.231 + 51.4038i −0.504396 + 0.183585i
\(281\) −67.0386 + 28.9176i −0.238572 + 0.102910i −0.512009 0.858980i \(-0.671099\pi\)
0.273437 + 0.961890i \(0.411839\pi\)
\(282\) −173.896 136.818i −0.616652 0.485172i
\(283\) 220.285 + 52.2085i 0.778392 + 0.184482i 0.600561 0.799579i \(-0.294944\pi\)
0.177831 + 0.984061i \(0.443092\pi\)
\(284\) 7.27226 30.6841i 0.0256065 0.108042i
\(285\) −266.877 38.4342i −0.936410 0.134857i
\(286\) 28.1314 + 65.2159i 0.0983616 + 0.228028i
\(287\) −168.545 463.074i −0.587266 1.61350i
\(288\) −34.7586 + 37.2000i −0.120690 + 0.129167i
\(289\) 242.267 + 88.1778i 0.838293 + 0.305114i
\(290\) 84.5654 4.92537i 0.291605 0.0169841i
\(291\) −3.73026 + 139.802i −0.0128188 + 0.480418i
\(292\) −109.382 + 253.577i −0.374597 + 0.868413i
\(293\) 22.3088 + 1.29934i 0.0761392 + 0.00443460i 0.0961721 0.995365i \(-0.469340\pi\)
−0.0200330 + 0.999799i \(0.506377\pi\)
\(294\) 160.093 75.1232i 0.544533 0.255521i
\(295\) −127.872 135.537i −0.433466 0.459447i
\(296\) 66.9096 + 38.6303i 0.226046 + 0.130508i
\(297\) 59.6859 9.18445i 0.200963 0.0309241i
\(298\) 102.318 + 177.220i 0.343349 + 0.594698i
\(299\) 66.6917 + 19.9662i 0.223049 + 0.0667765i
\(300\) −26.0994 25.9738i −0.0869980 0.0865793i
\(301\) 105.929 + 69.6706i 0.351923 + 0.231464i
\(302\) −37.4383 320.305i −0.123968 1.06061i
\(303\) 16.8721 + 113.278i 0.0556834 + 0.373855i
\(304\) −57.5743 28.9149i −0.189389 0.0951148i
\(305\) −504.732 + 88.9978i −1.65486 + 0.291796i
\(306\) −285.536 83.9846i −0.933123 0.274459i
\(307\) 4.02219 22.8110i 0.0131016 0.0743029i −0.977556 0.210676i \(-0.932433\pi\)
0.990658 + 0.136373i \(0.0435446\pi\)
\(308\) 34.1682 + 25.4373i 0.110936 + 0.0825885i
\(309\) 187.046 167.267i 0.605327 0.541318i
\(310\) 191.976 203.482i 0.619276 0.656394i
\(311\) −461.224 + 138.081i −1.48304 + 0.443992i −0.923105 0.384548i \(-0.874357\pi\)
−0.559930 + 0.828540i \(0.689172\pi\)
\(312\) 6.00108 + 190.438i 0.0192342 + 0.610379i
\(313\) −563.636 65.8796i −1.80075 0.210478i −0.851364 0.524576i \(-0.824224\pi\)
−0.949391 + 0.314098i \(0.898298\pi\)
\(314\) 69.6539 83.0103i 0.221828 0.264364i
\(315\) 367.828 + 305.632i 1.16771 + 0.970260i
\(316\) 77.3803 64.9298i 0.244874 0.205474i
\(317\) −219.222 333.310i −0.691550 1.05145i −0.995123 0.0986431i \(-0.968550\pi\)
0.303572 0.952808i \(-0.401821\pi\)
\(318\) −108.009 323.338i −0.339651 1.01679i
\(319\) −14.3369 19.2578i −0.0449433 0.0603693i
\(320\) −20.0346 39.8921i −0.0626080 0.124663i
\(321\) 150.799 325.437i 0.469779 1.01382i
\(322\) 40.6271 9.62880i 0.126171 0.0299031i
\(323\) 376.643i 1.16608i
\(324\) 157.986 + 35.8368i 0.487613 + 0.110607i
\(325\) −137.801 −0.424004
\(326\) 37.4723 + 158.108i 0.114946 + 0.484995i
\(327\) 12.4157 + 138.074i 0.0379684 + 0.422245i
\(328\) 130.800 65.6903i 0.398781 0.200275i
\(329\) −398.366 + 296.572i −1.21084 + 0.901435i
\(330\) −10.5822 + 51.8815i −0.0320674 + 0.157217i
\(331\) −213.626 + 140.504i −0.645395 + 0.424483i −0.829564 0.558412i \(-0.811411\pi\)
0.184169 + 0.982895i \(0.441041\pi\)
\(332\) 161.880 + 192.921i 0.487590 + 0.581087i
\(333\) −1.18627 245.839i −0.00356236 0.738255i
\(334\) 103.219 + 86.6111i 0.309039 + 0.259315i
\(335\) 73.9527 632.706i 0.220754 1.88867i
\(336\) 60.2249 + 97.1143i 0.179241 + 0.289031i
\(337\) 91.8273 + 306.725i 0.272485 + 0.910162i 0.979240 + 0.202704i \(0.0649730\pi\)
−0.706755 + 0.707458i \(0.749842\pi\)
\(338\) 344.813 + 325.314i 1.02016 + 0.962468i
\(339\) 387.245 80.9343i 1.14232 0.238744i
\(340\) 155.839 209.329i 0.458351 0.615673i
\(341\) −78.0832 13.7682i −0.228983 0.0403759i
\(342\) 12.9075 + 204.599i 0.0377411 + 0.598244i
\(343\) 12.1009 + 68.6277i 0.0352796 + 0.200081i
\(344\) −16.9009 + 33.6525i −0.0491306 + 0.0978272i
\(345\) 32.2883 + 40.6333i 0.0935891 + 0.117778i
\(346\) 88.2792 10.3184i 0.255142 0.0298219i
\(347\) 35.3127 53.6903i 0.101766 0.154727i −0.781015 0.624512i \(-0.785298\pi\)
0.882781 + 0.469785i \(0.155668\pi\)
\(348\) −16.8196 62.1711i −0.0483321 0.178653i
\(349\) 65.4387 218.580i 0.187503 0.626305i −0.811610 0.584200i \(-0.801408\pi\)
0.999113 0.0421049i \(-0.0134064\pi\)
\(350\) −71.5740 + 41.3233i −0.204497 + 0.118067i
\(351\) 513.691 322.005i 1.46351 0.917393i
\(352\) −6.32608 + 10.9571i −0.0179718 + 0.0311281i
\(353\) −408.592 + 385.487i −1.15748 + 1.09203i −0.163057 + 0.986617i \(0.552135\pi\)
−0.994428 + 0.105414i \(0.966383\pi\)
\(354\) −80.9822 + 116.250i −0.228763 + 0.328391i
\(355\) 5.11563 87.8319i 0.0144102 0.247414i
\(356\) −95.9190 41.3754i −0.269435 0.116223i
\(357\) −349.332 + 569.424i −0.978522 + 1.59503i
\(358\) −21.7049 372.658i −0.0606281 1.04094i
\(359\) 41.7736 114.772i 0.116361 0.319699i −0.867817 0.496885i \(-0.834477\pi\)
0.984177 + 0.177186i \(0.0566994\pi\)
\(360\) −77.4813 + 119.052i −0.215226 + 0.330700i
\(361\) 95.4453 34.7392i 0.264391 0.0962306i
\(362\) 217.436 93.7926i 0.600651 0.259096i
\(363\) −323.095 + 129.261i −0.890070 + 0.356091i
\(364\) 416.128 + 98.6242i 1.14321 + 0.270946i
\(365\) −177.689 + 749.730i −0.486820 + 2.05405i
\(366\) 144.745 + 361.800i 0.395479 + 0.988523i
\(367\) 19.9483 + 46.2454i 0.0543551 + 0.126009i 0.943230 0.332142i \(-0.107771\pi\)
−0.888874 + 0.458151i \(0.848512\pi\)
\(368\) 4.24149 + 11.6534i 0.0115258 + 0.0316669i
\(369\) −390.353 254.049i −1.05787 0.688481i
\(370\) 202.559 + 73.7255i 0.547457 + 0.199258i
\(371\) −763.866 + 44.4901i −2.05894 + 0.119919i
\(372\) −181.301 111.225i −0.487369 0.298993i
\(373\) 228.380 529.445i 0.612280 1.41942i −0.276466 0.961024i \(-0.589163\pi\)
0.888746 0.458401i \(-0.151578\pi\)
\(374\) −73.8397 4.30067i −0.197432 0.0114991i
\(375\) 259.101 + 180.494i 0.690935 + 0.481318i
\(376\) −101.228 107.296i −0.269224 0.285361i
\(377\) −208.742 120.517i −0.553692 0.319674i
\(378\) 170.250 321.293i 0.450396 0.849983i
\(379\) −220.984 382.756i −0.583072 1.00991i −0.995113 0.0987447i \(-0.968517\pi\)
0.412041 0.911165i \(-0.364816\pi\)
\(380\) −172.202 51.5539i −0.453163 0.135668i
\(381\) −241.523 + 65.3408i −0.633918 + 0.171498i
\(382\) −276.610 181.929i −0.724109 0.476254i
\(383\) 38.5624 + 329.922i 0.100685 + 0.861416i 0.945336 + 0.326098i \(0.105734\pi\)
−0.844651 + 0.535318i \(0.820192\pi\)
\(384\) −26.5731 + 21.1157i −0.0692007 + 0.0549887i
\(385\) 106.206 + 53.3385i 0.275859 + 0.138541i
\(386\) 365.509 64.4492i 0.946916 0.166967i
\(387\) 119.590 7.54449i 0.309017 0.0194948i
\(388\) −16.1900 + 91.8179i −0.0417267 + 0.236644i
\(389\) 57.2291 + 42.6055i 0.147118 + 0.109526i 0.668201 0.743980i \(-0.267064\pi\)
−0.521083 + 0.853506i \(0.674472\pi\)
\(390\) 108.753 + 520.348i 0.278853 + 1.33423i
\(391\) −49.7513 + 52.7333i −0.127241 + 0.134868i
\(392\) 112.942 33.8126i 0.288117 0.0862566i
\(393\) −444.356 + 275.565i −1.13068 + 0.701184i
\(394\) 107.358 + 12.5484i 0.272483 + 0.0318487i
\(395\) 181.156 215.893i 0.458622 0.546564i
\(396\) 40.2585 0.194262i 0.101663 0.000490562i
\(397\) 37.9767 31.8662i 0.0956591 0.0802676i −0.593704 0.804684i \(-0.702335\pi\)
0.689363 + 0.724416i \(0.257891\pi\)
\(398\) −200.752 305.229i −0.504402 0.766906i
\(399\) 450.859 + 91.9612i 1.12997 + 0.230479i
\(400\) −14.6588 19.6902i −0.0366470 0.0492255i
\(401\) 104.198 + 207.474i 0.259844 + 0.517392i 0.985291 0.170886i \(-0.0546630\pi\)
−0.725447 + 0.688278i \(0.758367\pi\)
\(402\) −482.390 + 43.3766i −1.19997 + 0.107902i
\(403\) −774.556 + 183.573i −1.92197 + 0.455516i
\(404\) 76.3519i 0.188990i
\(405\) 451.452 + 21.9248i 1.11470 + 0.0541353i
\(406\) −144.561 −0.356062
\(407\) −14.0894 59.4478i −0.0346177 0.146063i
\(408\) −180.032 83.4220i −0.441254 0.204466i
\(409\) −220.838 + 110.909i −0.539946 + 0.271171i −0.697802 0.716291i \(-0.745838\pi\)
0.157855 + 0.987462i \(0.449542\pi\)
\(410\) 327.565 243.863i 0.798940 0.594788i
\(411\) −702.662 + 234.720i −1.70964 + 0.571094i
\(412\) 139.765 91.9246i 0.339235 0.223118i
\(413\) 204.405 + 243.600i 0.494926 + 0.589830i
\(414\) 25.2187 30.3507i 0.0609147 0.0733108i
\(415\) 538.253 + 451.648i 1.29700 + 1.08831i
\(416\) −14.7463 + 126.163i −0.0354479 + 0.303277i
\(417\) 298.464 9.40519i 0.715742 0.0225544i
\(418\) 14.6116 + 48.8062i 0.0349560 + 0.116761i
\(419\) 425.021 + 400.987i 1.01437 + 0.957010i 0.999081 0.0428734i \(-0.0136512\pi\)
0.0152905 + 0.999883i \(0.495133\pi\)
\(420\) 212.526 + 237.657i 0.506015 + 0.565849i
\(421\) 184.488 247.810i 0.438213 0.588623i −0.527072 0.849821i \(-0.676710\pi\)
0.965285 + 0.261198i \(0.0841175\pi\)
\(422\) 543.095 + 95.7623i 1.28696 + 0.226925i
\(423\) −132.448 + 450.303i −0.313115 + 1.06455i
\(424\) −39.4645 223.814i −0.0930767 0.527864i
\(425\) 64.4053 128.241i 0.151542 0.301745i
\(426\) −66.1640 + 9.85471i −0.155315 + 0.0231331i
\(427\) 868.732 101.540i 2.03450 0.237799i
\(428\) 131.398 199.781i 0.307004 0.466777i
\(429\) 106.280 106.794i 0.247738 0.248936i
\(430\) −30.1336 + 100.653i −0.0700781 + 0.234077i
\(431\) −93.3928 + 53.9204i −0.216689 + 0.125105i −0.604416 0.796669i \(-0.706594\pi\)
0.387727 + 0.921774i \(0.373260\pi\)
\(432\) 100.656 + 39.1467i 0.232999 + 0.0906175i
\(433\) −265.451 + 459.774i −0.613050 + 1.06183i 0.377673 + 0.925939i \(0.376724\pi\)
−0.990723 + 0.135895i \(0.956609\pi\)
\(434\) −347.256 + 327.619i −0.800128 + 0.754882i
\(435\) −76.3348 162.675i −0.175482 0.373965i
\(436\) −5.37379 + 92.2644i −0.0123252 + 0.211616i
\(437\) 45.8523 + 19.7788i 0.104925 + 0.0452603i
\(438\) 585.620 + 15.6258i 1.33703 + 0.0356753i
\(439\) −22.8759 392.763i −0.0521090 0.894677i −0.918527 0.395358i \(-0.870621\pi\)
0.866418 0.499319i \(-0.166417\pi\)
\(440\) −12.0733 + 33.1710i −0.0274392 + 0.0753886i
\(441\) −274.105 256.116i −0.621554 0.580762i
\(442\) −697.790 + 253.975i −1.57871 + 0.574604i
\(443\) 182.469 78.7096i 0.411895 0.177674i −0.180041 0.983659i \(-0.557623\pi\)
0.591936 + 0.805985i \(0.298364\pi\)
\(444\) 23.3622 162.221i 0.0526176 0.365362i
\(445\) −283.596 67.2135i −0.637295 0.151042i
\(446\) −79.4598 + 335.267i −0.178161 + 0.751720i
\(447\) 268.421 341.162i 0.600494 0.763226i
\(448\) 30.1740 + 69.9513i 0.0673528 + 0.156141i
\(449\) −139.067 382.084i −0.309726 0.850966i −0.992709 0.120532i \(-0.961540\pi\)
0.682983 0.730434i \(-0.260682\pi\)
\(450\) −30.5914 + 71.8703i −0.0679808 + 0.159712i
\(451\) −108.763 39.5864i −0.241159 0.0877747i
\(452\) 263.296 15.3352i 0.582512 0.0339275i
\(453\) −601.357 + 326.124i −1.32750 + 0.719921i
\(454\) 18.6483 43.2316i 0.0410755 0.0952237i
\(455\) 1191.15 + 69.3766i 2.61791 + 0.152476i
\(456\) −11.5831 + 136.179i −0.0254016 + 0.298638i
\(457\) 259.000 + 274.524i 0.566740 + 0.600709i 0.945835 0.324649i \(-0.105246\pi\)
−0.379095 + 0.925358i \(0.623765\pi\)
\(458\) −335.173 193.512i −0.731819 0.422516i
\(459\) 59.5785 + 628.553i 0.129801 + 1.36940i
\(460\) 17.2999 + 29.9644i 0.0376086 + 0.0651400i
\(461\) 291.450 + 87.2545i 0.632213 + 0.189272i 0.586847 0.809698i \(-0.300369\pi\)
0.0453668 + 0.998970i \(0.485554\pi\)
\(462\) 23.1768 87.3394i 0.0501663 0.189046i
\(463\) −178.982 117.718i −0.386570 0.254251i 0.341317 0.939948i \(-0.389127\pi\)
−0.727887 + 0.685697i \(0.759498\pi\)
\(464\) −4.98472 42.6470i −0.0107429 0.0919117i
\(465\) −552.037 217.770i −1.18718 0.468322i
\(466\) −40.2761 20.2274i −0.0864295 0.0434065i
\(467\) −170.159 + 30.0037i −0.364367 + 0.0642477i −0.352834 0.935686i \(-0.614782\pi\)
−0.0115324 + 0.999933i \(0.503671\pi\)
\(468\) 370.349 161.877i 0.791344 0.345891i
\(469\) −188.774 + 1070.59i −0.402503 + 2.28271i
\(470\) −330.122 245.766i −0.702386 0.522907i
\(471\) −218.377 71.7781i −0.463646 0.152395i
\(472\) −64.8163 + 68.7013i −0.137323 + 0.145554i
\(473\) 28.5276 8.54059i 0.0603120 0.0180562i
\(474\) −188.855 101.242i −0.398428 0.213591i
\(475\) −98.1775 11.4753i −0.206690 0.0241585i
\(476\) −286.272 + 341.165i −0.601411 + 0.716734i
\(477\) −551.723 + 467.506i −1.15665 + 0.980096i
\(478\) −105.297 + 88.3543i −0.220286 + 0.184842i
\(479\) 201.926 + 307.013i 0.421557 + 0.640946i 0.982359 0.187004i \(-0.0598777\pi\)
−0.560803 + 0.827950i \(0.689507\pi\)
\(480\) −62.7830 + 70.8923i −0.130798 + 0.147692i
\(481\) −366.274 491.992i −0.761485 1.02285i
\(482\) −89.2342 177.680i −0.185133 0.368630i
\(483\) −50.9769 72.4299i −0.105542 0.149958i
\(484\) −225.742 + 53.5018i −0.466408 + 0.110541i
\(485\) 260.126i 0.536342i
\(486\) −53.9045 339.400i −0.110915 0.698354i
\(487\) −131.947 −0.270938 −0.135469 0.990782i \(-0.543254\pi\)
−0.135469 + 0.990782i \(0.543254\pi\)
\(488\) 59.9109 + 252.784i 0.122768 + 0.518000i
\(489\) 281.875 198.386i 0.576432 0.405698i
\(490\) 293.942 147.623i 0.599881 0.301272i
\(491\) −413.708 + 307.994i −0.842583 + 0.627280i −0.929453 0.368940i \(-0.879721\pi\)
0.0868704 + 0.996220i \(0.472313\pi\)
\(492\) −232.445 205.856i −0.472450 0.418406i
\(493\) 209.718 137.934i 0.425391 0.279784i
\(494\) 328.773 + 391.816i 0.665532 + 0.793150i
\(495\) 110.522 20.0383i 0.223276 0.0404814i
\(496\) −108.625 91.1472i −0.219002 0.183765i
\(497\) −17.4308 + 149.130i −0.0350720 + 0.300060i
\(498\) 252.412 470.844i 0.506852 0.945469i
\(499\) 129.261 + 431.761i 0.259039 + 0.865252i 0.984259 + 0.176734i \(0.0565532\pi\)
−0.725219 + 0.688518i \(0.758262\pi\)
\(500\) 153.122 + 144.463i 0.306244 + 0.288927i
\(501\) 89.2524 271.541i 0.178149 0.541998i
\(502\) 157.154 211.095i 0.313057 0.420508i
\(503\) 598.181 + 105.475i 1.18923 + 0.209693i 0.733036 0.680190i \(-0.238103\pi\)
0.456190 + 0.889882i \(0.349214\pi\)
\(504\) 143.817 195.138i 0.285350 0.387178i
\(505\) 36.9911 + 209.787i 0.0732498 + 0.415420i
\(506\) 4.40113 8.76337i 0.00869789 0.0173189i
\(507\) 369.024 935.460i 0.727858 1.84509i
\(508\) −165.676 + 19.3647i −0.326133 + 0.0381195i
\(509\) 370.327 563.055i 0.727558 1.10620i −0.262417 0.964955i \(-0.584520\pi\)
0.989975 0.141243i \(-0.0451100\pi\)
\(510\) −535.078 141.991i −1.04917 0.278414i
\(511\) 377.120 1259.67i 0.738003 2.46510i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 392.798 186.638i 0.765688 0.363816i
\(514\) 1.75362 3.03736i 0.00341171 0.00590925i
\(515\) 339.486 320.289i 0.659197 0.621920i
\(516\) 79.5976 + 6.77041i 0.154259 + 0.0131210i
\(517\) −6.78237 + 116.449i −0.0131187 + 0.225239i
\(518\) −337.780 145.704i −0.652085 0.281282i
\(519\) −89.8829 165.740i −0.173185 0.319344i
\(520\) 20.6062 + 353.794i 0.0396273 + 0.680374i
\(521\) 328.326 902.068i 0.630184 1.73142i −0.0503812 0.998730i \(-0.516044\pi\)
0.680566 0.732687i \(-0.261734\pi\)
\(522\) −109.196 + 82.1152i −0.209187 + 0.157309i
\(523\) −42.3209 + 15.4036i −0.0809196 + 0.0294523i −0.382163 0.924095i \(-0.624821\pi\)
0.301243 + 0.953547i \(0.402598\pi\)
\(524\) −320.069 + 138.064i −0.610819 + 0.263482i
\(525\) 137.786 + 108.408i 0.262449 + 0.206490i
\(526\) 327.733 + 77.6742i 0.623067 + 0.147670i
\(527\) 191.172 806.620i 0.362756 1.53059i
\(528\) 26.5652 + 3.82579i 0.0503129 + 0.00724581i
\(529\) 205.719 + 476.910i 0.388883 + 0.901532i
\(530\) −216.868 595.841i −0.409185 1.12423i
\(531\) 292.772 + 67.8978i 0.551359 + 0.127868i
\(532\) 288.261 + 104.918i 0.541844 + 0.197215i
\(533\) −1160.04 + 67.5645i −2.17643 + 0.126763i
\(534\) −5.91068 + 221.519i −0.0110687 + 0.414830i
\(535\) 264.243 612.584i 0.493912 1.14502i
\(536\) −322.344 18.7744i −0.601389 0.0350269i
\(537\) −716.866 + 336.388i −1.33495 + 0.626421i
\(538\) −29.7207 31.5021i −0.0552429 0.0585541i
\(539\) −80.7365 46.6133i −0.149789 0.0864810i
\(540\) 295.531 + 58.7952i 0.547279 + 0.108880i
\(541\) −250.283 433.503i −0.462630 0.801299i 0.536461 0.843925i \(-0.319761\pi\)
−0.999091 + 0.0426260i \(0.986428\pi\)
\(542\) −155.771 46.6346i −0.287400 0.0860418i
\(543\) −356.059 354.345i −0.655726 0.652570i
\(544\) −110.519 72.6892i −0.203159 0.133620i
\(545\) 29.9352 + 256.112i 0.0549270 + 0.469931i
\(546\) −133.647 897.297i −0.244774 1.64340i
\(547\) 47.3354 + 23.7727i 0.0865363 + 0.0434602i 0.491541 0.870854i \(-0.336434\pi\)
−0.405005 + 0.914315i \(0.632730\pi\)
\(548\) −486.382 + 85.7623i −0.887559 + 0.156501i
\(549\) 598.528 570.166i 1.09022 1.03855i
\(550\) −3.37073 + 19.1164i −0.00612861 + 0.0347571i
\(551\) −138.684 103.246i −0.251695 0.187380i
\(552\) 19.6098 17.5362i 0.0355251 0.0317685i
\(553\) −330.053 + 349.836i −0.596842 + 0.632615i
\(554\) 406.050 121.563i 0.732942 0.219428i
\(555\) −14.4023 457.042i −0.0259501 0.823500i
\(556\) 197.729 + 23.1112i 0.355628 + 0.0415669i
\(557\) 551.634 657.412i 0.990366 1.18027i 0.00675393 0.999977i \(-0.497850\pi\)
0.983612 0.180296i \(-0.0577054\pi\)
\(558\) −76.2058 + 444.723i −0.136570 + 0.796994i
\(559\) 229.019 192.170i 0.409694 0.343774i
\(560\) 116.797 + 177.582i 0.208567 + 0.317110i
\(561\) 49.7122 + 148.820i 0.0886136 + 0.265276i
\(562\) 61.6573 + 82.8202i 0.109711 + 0.147367i
\(563\) 351.441 + 699.777i 0.624229 + 1.24294i 0.954261 + 0.298973i \(0.0966442\pi\)
−0.330032 + 0.943970i \(0.607060\pi\)
\(564\) −131.560 + 283.919i −0.233263 + 0.503402i
\(565\) 716.011 169.698i 1.26728 0.300350i
\(566\) 320.160i 0.565654i
\(567\) −766.953 82.1494i −1.35265 0.144884i
\(568\) −44.5959 −0.0785139
\(569\) −63.1455 266.432i −0.110976 0.468246i −0.999947 0.0102821i \(-0.996727\pi\)
0.888971 0.457964i \(-0.151421\pi\)
\(570\) 34.1501 + 379.782i 0.0599125 + 0.666285i
\(571\) −414.960 + 208.401i −0.726725 + 0.364975i −0.773386 0.633936i \(-0.781438\pi\)
0.0466606 + 0.998911i \(0.485142\pi\)
\(572\) 80.5684 59.9810i 0.140854 0.104862i
\(573\) −140.361 + 688.149i −0.244958 + 1.20096i
\(574\) −582.264 + 382.961i −1.01440 + 0.667179i
\(575\) 12.2299 + 14.5751i 0.0212694 + 0.0253479i
\(576\) 62.5268 + 35.6987i 0.108553 + 0.0619769i
\(577\) 567.530 + 476.214i 0.983588 + 0.825328i 0.984627 0.174671i \(-0.0558863\pi\)
−0.00103895 + 0.999999i \(0.500331\pi\)
\(578\) 42.3281 362.140i 0.0732320 0.626539i
\(579\) −414.942 669.105i −0.716653 1.15562i
\(580\) −34.3579 114.764i −0.0592378 0.197868i
\(581\) −872.195 822.873i −1.50120 1.41631i
\(582\) 193.597 40.4618i 0.332641 0.0695220i
\(583\) −107.318 + 144.153i −0.184078 + 0.247260i
\(584\) 384.619 + 67.8187i 0.658594 + 0.116128i
\(585\) 939.158 624.207i 1.60540 1.06702i
\(586\) −5.48777 31.1227i −0.00936480 0.0531104i
\(587\) 162.121 322.810i 0.276186 0.549932i −0.712185 0.701992i \(-0.752294\pi\)
0.988371 + 0.152060i \(0.0485906\pi\)
\(588\) −155.589 195.802i −0.264607 0.332996i
\(589\) −567.125 + 66.2874i −0.962861 + 0.112542i
\(590\) −144.807 + 220.168i −0.245436 + 0.373167i
\(591\) −59.8792 221.335i −0.101318 0.374509i
\(592\) 31.3370 104.673i 0.0529341 0.176812i
\(593\) −947.066 + 546.789i −1.59708 + 0.922073i −0.605030 + 0.796203i \(0.706839\pi\)
−0.992047 + 0.125870i \(0.959828\pi\)
\(594\) −32.1046 79.1380i −0.0540482 0.133229i
\(595\) −621.282 + 1076.09i −1.04417 + 1.80856i
\(596\) 210.501 198.598i 0.353190 0.333217i
\(597\) −442.978 + 635.899i −0.742007 + 1.06516i
\(598\) 5.72449 98.2857i 0.00957273 0.164357i
\(599\) 992.706 + 428.211i 1.65727 + 0.714877i 0.999272 0.0381417i \(-0.0121438\pi\)
0.657999 + 0.753019i \(0.271403\pi\)
\(600\) −27.2303 + 44.3863i −0.0453838 + 0.0739772i
\(601\) 10.1476 + 174.228i 0.0168845 + 0.289896i 0.996172 + 0.0874195i \(0.0278621\pi\)
−0.979287 + 0.202477i \(0.935101\pi\)
\(602\) 61.3255 168.491i 0.101870 0.279885i
\(603\) 465.536 + 915.911i 0.772032 + 1.51892i
\(604\) −428.560 + 155.983i −0.709536 + 0.258250i
\(605\) −594.335 + 256.371i −0.982372 + 0.423754i
\(606\) 150.379 60.1621i 0.248150 0.0992774i
\(607\) −176.640 41.8645i −0.291005 0.0689695i 0.0825204 0.996589i \(-0.473703\pi\)
−0.373526 + 0.927620i \(0.621851\pi\)
\(608\) −21.0123 + 88.6579i −0.0345597 + 0.145819i
\(609\) 113.908 + 284.720i 0.187041 + 0.467520i
\(610\) 287.083 + 665.532i 0.470627 + 1.09104i
\(611\) 400.530 + 1100.45i 0.655533 + 1.80106i
\(612\) −22.4460 + 420.314i −0.0366765 + 0.686788i
\(613\) 275.498 + 100.273i 0.449425 + 0.163577i 0.556810 0.830640i \(-0.312025\pi\)
−0.107384 + 0.994218i \(0.534248\pi\)
\(614\) −32.7018 + 1.90466i −0.0532603 + 0.00310206i
\(615\) −738.408 453.001i −1.20066 0.736588i
\(616\) 23.8604 55.3147i 0.0387345 0.0897966i
\(617\) 189.901 + 11.0605i 0.307781 + 0.0179262i 0.211340 0.977413i \(-0.432217\pi\)
0.0964404 + 0.995339i \(0.469254\pi\)
\(618\) −291.179 202.840i −0.471163 0.328221i
\(619\) −656.755 696.119i −1.06099 1.12459i −0.991906 0.126976i \(-0.959473\pi\)
−0.0690871 0.997611i \(-0.522009\pi\)
\(620\) −342.621 197.813i −0.552615 0.319052i
\(621\) −79.6484 25.7543i −0.128258 0.0414724i
\(622\) 340.436 + 589.653i 0.547326 + 0.947996i
\(623\) 476.487 + 142.651i 0.764827 + 0.228974i
\(624\) 260.104 70.3676i 0.416833 0.112769i
\(625\) 618.897 + 407.055i 0.990235 + 0.651288i
\(626\) 93.1678 + 797.102i 0.148830 + 1.27333i
\(627\) 84.6129 67.2356i 0.134949 0.107234i
\(628\) −136.947 68.7773i −0.218068 0.109518i
\(629\) 629.049 110.918i 1.00008 0.176341i
\(630\) 300.615 605.844i 0.477166 0.961658i
\(631\) 145.990 827.952i 0.231363 1.31213i −0.618775 0.785568i \(-0.712371\pi\)
0.850139 0.526559i \(-0.176518\pi\)
\(632\) −114.586 85.3063i −0.181307 0.134978i
\(633\) −239.328 1145.11i −0.378085 1.80902i
\(634\) −387.169 + 410.375i −0.610676 + 0.647279i
\(635\) −445.834 + 133.474i −0.702101 + 0.210195i
\(636\) −409.717 + 254.084i −0.644209 + 0.399503i
\(637\) −929.623 108.657i −1.45938 0.170577i
\(638\) −21.8247 + 26.0096i −0.0342080 + 0.0407675i
\(639\) 71.5438 + 122.548i 0.111962 + 0.191781i
\(640\) −48.3612 + 40.5798i −0.0755643 + 0.0634060i
\(641\) 179.779 + 273.341i 0.280467 + 0.426429i 0.948057 0.318099i \(-0.103045\pi\)
−0.667590 + 0.744529i \(0.732674\pi\)
\(642\) −497.014 101.375i −0.774165 0.157906i
\(643\) 348.468 + 468.074i 0.541941 + 0.727953i 0.985759 0.168164i \(-0.0537838\pi\)
−0.443818 + 0.896117i \(0.646376\pi\)
\(644\) −26.5002 52.7663i −0.0411495 0.0819353i
\(645\) 221.985 19.9610i 0.344163 0.0309473i
\(646\) −518.296 + 122.838i −0.802315 + 0.190152i
\(647\) 535.034i 0.826945i −0.910517 0.413473i \(-0.864316\pi\)
0.910517 0.413473i \(-0.135684\pi\)
\(648\) −2.21096 229.092i −0.00341198 0.353537i
\(649\) 74.6882 0.115082
\(650\) 44.9425 + 189.627i 0.0691423 + 0.291734i
\(651\) 918.884 + 425.787i 1.41150 + 0.654050i
\(652\) 205.350 103.131i 0.314955 0.158176i
\(653\) 975.159 725.979i 1.49335 1.11176i 0.528510 0.848927i \(-0.322751\pi\)
0.964842 0.262832i \(-0.0846565\pi\)
\(654\) 185.953 62.1166i 0.284332 0.0949795i
\(655\) −812.544 + 534.419i −1.24053 + 0.815906i
\(656\) −133.055 158.569i −0.202828 0.241721i
\(657\) −430.669 1165.72i −0.655508 1.77431i
\(658\) 538.034 + 451.464i 0.817681 + 0.686116i
\(659\) 23.1901 198.404i 0.0351898 0.301068i −0.964170 0.265286i \(-0.914534\pi\)
0.999360 0.0357823i \(-0.0113923\pi\)
\(660\) 74.8451 2.35851i 0.113402 0.00357350i
\(661\) −95.1648 317.873i −0.143971 0.480897i 0.855338 0.518071i \(-0.173350\pi\)
−0.999309 + 0.0371741i \(0.988164\pi\)
\(662\) 263.018 + 248.145i 0.397309 + 0.374841i
\(663\) 1050.05 + 1174.21i 1.58378 + 1.77105i
\(664\) 212.682 285.681i 0.320304 0.430242i
\(665\) 842.868 + 148.620i 1.26747 + 0.223489i
\(666\) −337.910 + 81.8103i −0.507373 + 0.122838i
\(667\) 5.77900 + 32.7743i 0.00866417 + 0.0491370i
\(668\) 85.5211 170.286i 0.128026 0.254920i
\(669\) 722.936 107.677i 1.08062 0.160952i
\(670\) −894.781 + 104.585i −1.33549 + 0.156097i
\(671\) 112.885 171.633i 0.168234 0.255787i
\(672\) 113.997 114.548i 0.169638 0.170458i
\(673\) −0.809647 + 2.70441i −0.00120304 + 0.00401844i −0.958589 0.284793i \(-0.908075\pi\)
0.957386 + 0.288812i \(0.0932602\pi\)
\(674\) 392.133 226.398i 0.581800 0.335902i
\(675\) 165.657 + 3.62031i 0.245417 + 0.00536342i
\(676\) 335.205 580.593i 0.495866 0.858865i
\(677\) 948.889 895.231i 1.40161 1.32235i 0.517023 0.855972i \(-0.327040\pi\)
0.884586 0.466378i \(-0.154441\pi\)
\(678\) −237.669 506.490i −0.350545 0.747035i
\(679\) 25.8118 443.171i 0.0380144 0.652682i
\(680\) −338.881 146.179i −0.498355 0.214969i
\(681\) −99.8408 2.66400i −0.146609 0.00391189i
\(682\) 6.51977 + 111.940i 0.00955978 + 0.164135i
\(683\) 51.0438 140.242i 0.0747347 0.205332i −0.896700 0.442639i \(-0.854042\pi\)
0.971435 + 0.237307i \(0.0762647\pi\)
\(684\) 277.338 84.4900i 0.405465 0.123523i
\(685\) −1294.85 + 471.287i −1.89029 + 0.688011i
\(686\) 90.4915 39.0342i 0.131912 0.0569012i
\(687\) −117.029 + 812.619i −0.170348 + 1.18285i
\(688\) 51.8211 + 12.2818i 0.0753214 + 0.0178515i
\(689\) −416.087 + 1755.61i −0.603900 + 2.54806i
\(690\) 45.3847 57.6838i 0.0657749 0.0835997i
\(691\) 416.497 + 965.548i 0.602745 + 1.39732i 0.897187 + 0.441650i \(0.145607\pi\)
−0.294443 + 0.955669i \(0.595134\pi\)
\(692\) −42.9904 118.115i −0.0621249 0.170687i
\(693\) −190.282 + 23.1720i −0.274577 + 0.0334372i
\(694\) −85.3998 31.0830i −0.123054 0.0447881i
\(695\) 554.484 32.2950i 0.797819 0.0464677i
\(696\) −80.0677 + 43.4218i −0.115040 + 0.0623876i
\(697\) 479.299 1111.14i 0.687660 1.59418i
\(698\) −322.129 18.7619i −0.461503 0.0268795i
\(699\) −8.10298 + 95.2642i −0.0115922 + 0.136286i
\(700\) 80.2079 + 85.0154i 0.114583 + 0.121451i
\(701\) 500.037 + 288.697i 0.713320 + 0.411835i 0.812289 0.583255i \(-0.198221\pi\)
−0.0989691 + 0.995091i \(0.531555\pi\)
\(702\) −610.644 601.868i −0.869864 0.857362i
\(703\) −219.985 381.025i −0.312923 0.541998i
\(704\) 17.1412 + 5.13173i 0.0243483 + 0.00728939i
\(705\) −223.927 + 843.844i −0.317626 + 1.19694i
\(706\) 663.724 + 436.538i 0.940119 + 0.618326i
\(707\) −42.2042 361.080i −0.0596948 0.510722i
\(708\) 186.383 + 73.5251i 0.263253 + 0.103849i
\(709\) 870.201 + 437.032i 1.22736 + 0.616406i 0.939921 0.341392i \(-0.110898\pi\)
0.287444 + 0.957798i \(0.407195\pi\)
\(710\) −122.533 + 21.6059i −0.172582 + 0.0304309i
\(711\) −50.5917 + 451.733i −0.0711558 + 0.635349i
\(712\) −25.6534 + 145.488i −0.0360301 + 0.204337i
\(713\) 88.1585 + 65.6316i 0.123644 + 0.0920499i
\(714\) 897.512 + 295.002i 1.25702 + 0.413168i
\(715\) 192.313 203.840i 0.268969 0.285091i
\(716\) −505.734 + 151.407i −0.706332 + 0.211462i
\(717\) 256.988 + 137.767i 0.358421 + 0.192144i
\(718\) −171.561 20.0526i −0.238943 0.0279284i
\(719\) −532.628 + 634.761i −0.740790 + 0.882839i −0.996472 0.0839220i \(-0.973255\pi\)
0.255683 + 0.966761i \(0.417700\pi\)
\(720\) 189.096 + 67.7939i 0.262634 + 0.0941582i
\(721\) −610.157 + 511.983i −0.846265 + 0.710101i
\(722\) −78.9329 120.012i −0.109325 0.166221i
\(723\) −279.636 + 315.755i −0.386772 + 0.436730i
\(724\) −199.982 268.622i −0.276218 0.371025i
\(725\) −29.5649 58.8686i −0.0407792 0.0811981i
\(726\) 283.249 + 402.452i 0.390151 + 0.554342i
\(727\) −936.699 + 222.002i −1.28844 + 0.305367i −0.817056 0.576559i \(-0.804395\pi\)
−0.471388 + 0.881926i \(0.656247\pi\)
\(728\) 604.797i 0.830765i
\(729\) −625.990 + 373.601i −0.858697 + 0.512484i
\(730\) 1089.65 1.49267
\(731\) 71.7998 + 302.947i 0.0982213 + 0.414428i
\(732\) 450.663 317.181i 0.615659 0.433307i
\(733\) 741.493 372.392i 1.01159 0.508038i 0.135800 0.990736i \(-0.456640\pi\)
0.875787 + 0.482698i \(0.160343\pi\)
\(734\) 57.1321 42.5333i 0.0778366 0.0579472i
\(735\) −522.365 462.612i −0.710700 0.629403i
\(736\) 14.6529 9.63733i 0.0199088 0.0130942i
\(737\) 164.122 + 195.594i 0.222690 + 0.265392i
\(738\) −222.286 + 620.018i −0.301200 + 0.840133i
\(739\) −113.212 94.9966i −0.153197 0.128547i 0.562968 0.826479i \(-0.309660\pi\)
−0.716165 + 0.697931i \(0.754104\pi\)
\(740\) 35.3905 302.785i 0.0478250 0.409169i
\(741\) 512.641 956.269i 0.691824 1.29051i
\(742\) 310.350 + 1036.64i 0.418261 + 1.39709i
\(743\) −731.391 690.031i −0.984375 0.928710i 0.0130869 0.999914i \(-0.495834\pi\)
−0.997462 + 0.0712046i \(0.977316\pi\)
\(744\) −93.9269 + 285.763i −0.126246 + 0.384089i
\(745\) 482.163 647.658i 0.647199 0.869339i
\(746\) −803.050 141.599i −1.07647 0.189812i
\(747\) −1126.24 126.133i −1.50768 0.168853i
\(748\) 18.1640 + 103.013i 0.0242834 + 0.137718i
\(749\) −510.971 + 1017.43i −0.682204 + 1.35838i
\(750\) 163.874 415.413i 0.218498 0.553884i
\(751\) −94.1382 + 11.0032i −0.125350 + 0.0146514i −0.178537 0.983933i \(-0.557136\pi\)
0.0531863 + 0.998585i \(0.483062\pi\)
\(752\) −114.634 + 174.293i −0.152439 + 0.231773i
\(753\) −539.593 143.189i −0.716591 0.190158i
\(754\) −97.7638 + 326.554i −0.129660 + 0.433095i
\(755\) −1101.96 + 636.214i −1.45954 + 0.842668i
\(756\) −497.655 129.493i −0.658274 0.171287i
\(757\) 128.558 222.670i 0.169826 0.294147i −0.768533 0.639811i \(-0.779013\pi\)
0.938359 + 0.345663i \(0.112346\pi\)
\(758\) −454.636 + 428.927i −0.599784 + 0.565867i
\(759\) −20.7278 1.76307i −0.0273093 0.00232288i
\(760\) −14.7810 + 253.780i −0.0194487 + 0.333921i
\(761\) −864.831 373.051i −1.13644 0.490212i −0.257089 0.966388i \(-0.582763\pi\)
−0.879350 + 0.476175i \(0.842023\pi\)
\(762\) 168.685 + 311.048i 0.221372 + 0.408199i
\(763\) −25.5865 439.304i −0.0335341 0.575758i
\(764\) −160.138 + 439.975i −0.209604 + 0.575883i
\(765\) 141.961 + 1165.75i 0.185570 + 1.52385i
\(766\) 441.427 160.666i 0.576276 0.209747i
\(767\) 688.511 296.995i 0.897668 0.387216i
\(768\) 37.7237 + 29.6804i 0.0491194 + 0.0386463i
\(769\) 719.688 + 170.569i 0.935875 + 0.221806i 0.670136 0.742239i \(-0.266236\pi\)
0.265739 + 0.964045i \(0.414384\pi\)
\(770\) 38.7608 163.545i 0.0503387 0.212396i
\(771\) −7.36400 1.06053i −0.00955123 0.00137552i