Properties

Label 177.4.e.b.4.5
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.96757 - 0.322743i) q^{2} +(1.94216 - 2.28649i) q^{3} +(0.889340 + 0.195759i) q^{4} +(-11.1726 - 8.49315i) q^{5} +(-6.50144 + 6.15849i) q^{6} +(12.7555 - 32.0138i) q^{7} +(20.0545 + 6.75714i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-2.96757 - 0.322743i) q^{2} +(1.94216 - 2.28649i) q^{3} +(0.889340 + 0.195759i) q^{4} +(-11.1726 - 8.49315i) q^{5} +(-6.50144 + 6.15849i) q^{6} +(12.7555 - 32.0138i) q^{7} +(20.0545 + 6.75714i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(30.4142 + 28.8099i) q^{10} +(1.79779 - 0.831748i) q^{11} +(2.17484 - 1.65327i) q^{12} +(4.43627 - 27.0601i) q^{13} +(-48.1850 + 90.8866i) q^{14} +(-41.1183 + 9.05083i) q^{15} +(-63.9439 - 29.5836i) q^{16} +(9.85155 + 24.7255i) q^{17} +(1.45447 + 26.8262i) q^{18} +(-28.1583 - 41.5304i) q^{19} +(-8.27359 - 9.74042i) q^{20} +(-48.4260 - 91.3412i) q^{21} +(-5.60352 + 1.88805i) q^{22} +(-2.70992 + 49.9816i) q^{23} +(54.3991 - 32.7308i) q^{24} +(19.2512 + 69.3366i) q^{25} +(-21.8984 + 78.8709i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(17.6109 - 25.9742i) q^{28} +(-58.3702 + 6.34814i) q^{29} +(124.943 - 13.5883i) q^{30} +(48.9599 - 72.2105i) q^{31} +(35.1460 + 21.1466i) q^{32} +(1.58982 - 5.72602i) q^{33} +(-21.2552 - 76.5543i) q^{34} +(-414.410 + 249.342i) q^{35} +(0.443705 - 8.18365i) q^{36} +(-360.797 + 121.567i) q^{37} +(70.1581 + 132.332i) q^{38} +(-53.2565 - 62.6984i) q^{39} +(-166.670 - 245.820i) q^{40} +(3.19233 + 58.8790i) q^{41} +(114.228 + 286.691i) q^{42} +(353.761 + 163.667i) q^{43} +(1.76167 - 0.387773i) q^{44} +(-59.1638 + 111.595i) q^{45} +(24.1731 - 147.449i) q^{46} +(-353.521 + 268.740i) q^{47} +(-191.832 + 88.7509i) q^{48} +(-613.168 - 580.823i) q^{49} +(-34.7514 - 211.974i) q^{50} +(75.6679 + 25.4955i) q^{51} +(9.24259 - 23.1972i) q^{52} +(-254.041 + 240.641i) q^{53} +(64.1626 + 48.7751i) q^{54} +(-27.1501 - 5.97619i) q^{55} +(472.127 - 555.830i) q^{56} +(-149.646 - 16.2750i) q^{57} +175.266 q^{58} +(336.819 - 303.203i) q^{59} -38.3400 q^{60} +(421.151 + 45.8030i) q^{61} +(-168.597 + 198.488i) q^{62} +(-302.901 - 66.6737i) q^{63} +(351.242 + 267.007i) q^{64} +(-279.390 + 264.652i) q^{65} +(-6.56594 + 16.4793i) q^{66} +(656.150 + 221.083i) q^{67} +(3.92115 + 23.9179i) q^{68} +(109.019 + 103.268i) q^{69} +(1310.26 - 606.192i) q^{70} +(-85.1129 + 64.7012i) q^{71} +(30.8130 - 187.951i) q^{72} +(462.525 - 872.414i) q^{73} +(1109.92 - 244.313i) q^{74} +(195.926 + 90.6451i) q^{75} +(-16.9124 - 42.4468i) q^{76} +(-3.69573 - 68.1637i) q^{77} +(137.807 + 203.250i) q^{78} +(464.762 + 547.160i) q^{79} +(463.159 + 873.610i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(9.52931 - 175.758i) q^{82} +(764.335 - 459.885i) q^{83} +(-25.1864 - 90.7132i) q^{84} +(99.9308 - 359.918i) q^{85} +(-996.989 - 599.868i) q^{86} +(-98.8493 + 145.792i) q^{87} +(41.6741 - 4.53233i) q^{88} +(-1003.02 + 109.085i) q^{89} +(211.589 - 312.070i) q^{90} +(-809.710 - 487.186i) q^{91} +(-12.1944 + 43.9201i) q^{92} +(-70.0203 - 252.190i) q^{93} +(1135.83 - 683.408i) q^{94} +(-38.1238 + 703.153i) q^{95} +(116.611 - 39.2907i) q^{96} +(-573.560 - 1081.85i) q^{97} +(1632.16 + 1921.53i) q^{98} +(-10.0048 - 14.7559i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.96757 0.322743i −1.04919 0.114107i −0.432757 0.901511i \(-0.642459\pi\)
−0.616437 + 0.787404i \(0.711425\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 0.889340 + 0.195759i 0.111167 + 0.0244698i
\(5\) −11.1726 8.49315i −0.999303 0.759651i −0.0285163 0.999593i \(-0.509078\pi\)
−0.970787 + 0.239943i \(0.922871\pi\)
\(6\) −6.50144 + 6.15849i −0.442367 + 0.419032i
\(7\) 12.7555 32.0138i 0.688731 1.72859i 0.00378384 0.999993i \(-0.498796\pi\)
0.684947 0.728592i \(-0.259825\pi\)
\(8\) 20.0545 + 6.75714i 0.886291 + 0.298626i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 30.4142 + 28.8099i 0.961782 + 0.911048i
\(11\) 1.79779 0.831748i 0.0492778 0.0227983i −0.395095 0.918640i \(-0.629288\pi\)
0.444373 + 0.895842i \(0.353426\pi\)
\(12\) 2.17484 1.65327i 0.0523185 0.0397715i
\(13\) 4.43627 27.0601i 0.0946462 0.577316i −0.896342 0.443364i \(-0.853785\pi\)
0.990988 0.133952i \(-0.0427669\pi\)
\(14\) −48.1850 + 90.8866i −0.919856 + 1.73503i
\(15\) −41.1183 + 9.05083i −0.707781 + 0.155794i
\(16\) −63.9439 29.5836i −0.999124 0.462244i
\(17\) 9.85155 + 24.7255i 0.140550 + 0.352754i 0.982354 0.187028i \(-0.0598857\pi\)
−0.841804 + 0.539783i \(0.818506\pi\)
\(18\) 1.45447 + 26.8262i 0.0190457 + 0.351278i
\(19\) −28.1583 41.5304i −0.339998 0.501459i 0.618800 0.785548i \(-0.287619\pi\)
−0.958798 + 0.284090i \(0.908309\pi\)
\(20\) −8.27359 9.74042i −0.0925015 0.108901i
\(21\) −48.4260 91.3412i −0.503211 0.949157i
\(22\) −5.60352 + 1.88805i −0.0543034 + 0.0182969i
\(23\) −2.70992 + 49.9816i −0.0245678 + 0.453125i 0.960207 + 0.279290i \(0.0900990\pi\)
−0.984775 + 0.173836i \(0.944384\pi\)
\(24\) 54.3991 32.7308i 0.462674 0.278381i
\(25\) 19.2512 + 69.3366i 0.154010 + 0.554693i
\(26\) −21.8984 + 78.8709i −0.165178 + 0.594917i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 17.6109 25.9742i 0.118863 0.175309i
\(29\) −58.3702 + 6.34814i −0.373761 + 0.0406490i −0.293072 0.956090i \(-0.594678\pi\)
−0.0806891 + 0.996739i \(0.525712\pi\)
\(30\) 124.943 13.5883i 0.760377 0.0826959i
\(31\) 48.9599 72.2105i 0.283660 0.418367i −0.658989 0.752152i \(-0.729016\pi\)
0.942649 + 0.333785i \(0.108326\pi\)
\(32\) 35.1460 + 21.1466i 0.194156 + 0.116820i
\(33\) 1.58982 5.72602i 0.00838644 0.0302052i
\(34\) −21.2552 76.5543i −0.107213 0.386146i
\(35\) −414.410 + 249.342i −2.00137 + 1.20419i
\(36\) 0.443705 8.18365i 0.00205419 0.0378873i
\(37\) −360.797 + 121.567i −1.60310 + 0.540146i −0.971883 0.235463i \(-0.924339\pi\)
−0.631214 + 0.775609i \(0.717443\pi\)
\(38\) 70.1581 + 132.332i 0.299504 + 0.564924i
\(39\) −53.2565 62.6984i −0.218663 0.257430i
\(40\) −166.670 245.820i −0.658822 0.971690i
\(41\) 3.19233 + 58.8790i 0.0121599 + 0.224277i 0.998297 + 0.0583420i \(0.0185814\pi\)
−0.986137 + 0.165935i \(0.946936\pi\)
\(42\) 114.228 + 286.691i 0.419661 + 1.05327i
\(43\) 353.761 + 163.667i 1.25461 + 0.580443i 0.930748 0.365662i \(-0.119157\pi\)
0.323859 + 0.946105i \(0.395020\pi\)
\(44\) 1.76167 0.387773i 0.00603596 0.00132861i
\(45\) −59.1638 + 111.595i −0.195991 + 0.369679i
\(46\) 24.1731 147.449i 0.0774810 0.472613i
\(47\) −353.521 + 268.740i −1.09716 + 0.834037i −0.987135 0.159892i \(-0.948885\pi\)
−0.110023 + 0.993929i \(0.535092\pi\)
\(48\) −191.832 + 88.7509i −0.576845 + 0.266877i
\(49\) −613.168 580.823i −1.78766 1.69336i
\(50\) −34.7514 211.974i −0.0982919 0.599554i
\(51\) 75.6679 + 25.4955i 0.207757 + 0.0700016i
\(52\) 9.24259 23.1972i 0.0246484 0.0618628i
\(53\) −254.041 + 240.641i −0.658401 + 0.623670i −0.942135 0.335233i \(-0.891185\pi\)
0.283735 + 0.958903i \(0.408426\pi\)
\(54\) 64.1626 + 48.7751i 0.161693 + 0.122916i
\(55\) −27.1501 5.97619i −0.0665622 0.0146515i
\(56\) 472.127 555.830i 1.12662 1.32636i
\(57\) −149.646 16.2750i −0.347740 0.0378190i
\(58\) 175.266 0.396786
\(59\) 336.819 303.203i 0.743222 0.669045i
\(60\) −38.3400 −0.0824945
\(61\) 421.151 + 45.8030i 0.883982 + 0.0961389i 0.538837 0.842410i \(-0.318864\pi\)
0.345146 + 0.938549i \(0.387830\pi\)
\(62\) −168.597 + 198.488i −0.345353 + 0.406581i
\(63\) −302.901 66.6737i −0.605746 0.133335i
\(64\) 351.242 + 267.007i 0.686019 + 0.521498i
\(65\) −279.390 + 264.652i −0.533139 + 0.505016i
\(66\) −6.56594 + 16.4793i −0.0122456 + 0.0307342i
\(67\) 656.150 + 221.083i 1.19644 + 0.403128i 0.845860 0.533405i \(-0.179088\pi\)
0.350580 + 0.936533i \(0.385984\pi\)
\(68\) 3.92115 + 23.9179i 0.00699278 + 0.0426540i
\(69\) 109.019 + 103.268i 0.190208 + 0.180175i
\(70\) 1310.26 606.192i 2.23723 1.03505i
\(71\) −85.1129 + 64.7012i −0.142268 + 0.108150i −0.673888 0.738834i \(-0.735377\pi\)
0.531619 + 0.846983i \(0.321584\pi\)
\(72\) 30.8130 187.951i 0.0504354 0.307643i
\(73\) 462.525 872.414i 0.741568 1.39874i −0.169098 0.985599i \(-0.554085\pi\)
0.910665 0.413145i \(-0.135570\pi\)
\(74\) 1109.92 244.313i 1.74359 0.383794i
\(75\) 195.926 + 90.6451i 0.301648 + 0.139557i
\(76\) −16.9124 42.4468i −0.0255261 0.0640656i
\(77\) −3.69573 68.1637i −0.00546970 0.100883i
\(78\) 137.807 + 203.250i 0.200046 + 0.295045i
\(79\) 464.762 + 547.160i 0.661896 + 0.779244i 0.985994 0.166779i \(-0.0533367\pi\)
−0.324098 + 0.946023i \(0.605061\pi\)
\(80\) 463.159 + 873.610i 0.647284 + 1.22091i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 9.52931 175.758i 0.0128334 0.236698i
\(83\) 764.335 459.885i 1.01080 0.608180i 0.0890786 0.996025i \(-0.471608\pi\)
0.921725 + 0.387844i \(0.126780\pi\)
\(84\) −25.1864 90.7132i −0.0327150 0.117829i
\(85\) 99.9308 359.918i 0.127518 0.459278i
\(86\) −996.989 599.868i −1.25009 0.752156i
\(87\) −98.8493 + 145.792i −0.121813 + 0.179661i
\(88\) 41.6741 4.53233i 0.0504826 0.00549032i
\(89\) −1003.02 + 109.085i −1.19460 + 0.129921i −0.683730 0.729735i \(-0.739643\pi\)
−0.510873 + 0.859656i \(0.670678\pi\)
\(90\) 211.589 312.070i 0.247816 0.365501i
\(91\) −809.710 487.186i −0.932755 0.561220i
\(92\) −12.1944 + 43.9201i −0.0138190 + 0.0497717i
\(93\) −70.0203 252.190i −0.0780728 0.281193i
\(94\) 1135.83 683.408i 1.24630 0.749874i
\(95\) −38.1238 + 703.153i −0.0411729 + 0.759389i
\(96\) 116.611 39.2907i 0.123974 0.0417717i
\(97\) −573.560 1081.85i −0.600373 1.13242i −0.978418 0.206636i \(-0.933748\pi\)
0.378045 0.925787i \(-0.376596\pi\)
\(98\) 1632.16 + 1921.53i 1.68238 + 1.98065i
\(99\) −10.0048 14.7559i −0.0101567 0.0149801i
\(100\) 3.54764 + 65.4324i 0.00354764 + 0.0654324i
\(101\) −159.097 399.304i −0.156740 0.393388i 0.829545 0.558440i \(-0.188600\pi\)
−0.986285 + 0.165052i \(0.947221\pi\)
\(102\) −216.321 100.081i −0.209990 0.0971518i
\(103\) −1655.23 + 364.343i −1.58344 + 0.348542i −0.917585 0.397539i \(-0.869864\pi\)
−0.665856 + 0.746080i \(0.731933\pi\)
\(104\) 271.816 512.699i 0.256286 0.483406i
\(105\) −234.732 + 1431.80i −0.218167 + 1.33076i
\(106\) 831.549 632.127i 0.761955 0.579223i
\(107\) 700.938 324.289i 0.633292 0.292992i −0.0768583 0.997042i \(-0.524489\pi\)
0.710151 + 0.704050i \(0.248627\pi\)
\(108\) −17.8501 16.9085i −0.0159039 0.0150650i
\(109\) −138.482 844.702i −0.121690 0.742273i −0.975221 0.221232i \(-0.928992\pi\)
0.853532 0.521041i \(-0.174456\pi\)
\(110\) 78.6411 + 26.4973i 0.0681649 + 0.0229674i
\(111\) −422.764 + 1061.06i −0.361504 + 0.907308i
\(112\) −1762.72 + 1669.74i −1.48716 + 1.40871i
\(113\) 798.650 + 607.118i 0.664873 + 0.505423i 0.882321 0.470649i \(-0.155980\pi\)
−0.217448 + 0.976072i \(0.569773\pi\)
\(114\) 438.834 + 96.5946i 0.360531 + 0.0793589i
\(115\) 454.778 535.406i 0.368768 0.434147i
\(116\) −53.1537 5.78081i −0.0425448 0.00462702i
\(117\) −246.792 −0.195008
\(118\) −1097.39 + 791.070i −0.856127 + 0.617152i
\(119\) 917.221 0.706567
\(120\) −885.765 96.3327i −0.673824 0.0732828i
\(121\) −859.131 + 1011.45i −0.645478 + 0.759915i
\(122\) −1235.01 271.847i −0.916499 0.201737i
\(123\) 140.826 + 107.053i 0.103235 + 0.0784769i
\(124\) 57.6778 54.6353i 0.0417711 0.0395677i
\(125\) −275.524 + 691.513i −0.197149 + 0.494807i
\(126\) 877.363 + 295.618i 0.620331 + 0.209014i
\(127\) −58.5779 357.309i −0.0409287 0.249654i 0.958435 0.285309i \(-0.0920964\pi\)
−0.999364 + 0.0356555i \(0.988648\pi\)
\(128\) −1194.39 1131.38i −0.824765 0.781259i
\(129\) 1061.28 491.002i 0.724348 0.335119i
\(130\) 914.523 695.202i 0.616992 0.469025i
\(131\) 361.984 2208.00i 0.241425 1.47263i −0.536303 0.844026i \(-0.680179\pi\)
0.777728 0.628602i \(-0.216372\pi\)
\(132\) 2.53481 4.78116i 0.00167142 0.00315262i
\(133\) −1688.72 + 371.715i −1.10098 + 0.242344i
\(134\) −1875.82 867.846i −1.20930 0.559481i
\(135\) 140.254 + 352.012i 0.0894161 + 0.224417i
\(136\) 30.4938 + 562.426i 0.0192267 + 0.354615i
\(137\) −1191.20 1756.88i −0.742853 1.09563i −0.991886 0.127131i \(-0.959423\pi\)
0.249033 0.968495i \(-0.419887\pi\)
\(138\) −290.193 341.641i −0.179006 0.210742i
\(139\) 473.186 + 892.523i 0.288742 + 0.544624i 0.984870 0.173292i \(-0.0554406\pi\)
−0.696129 + 0.717917i \(0.745096\pi\)
\(140\) −417.362 + 140.626i −0.251954 + 0.0848931i
\(141\) −72.1245 + 1330.26i −0.0430778 + 0.794524i
\(142\) 273.460 164.536i 0.161608 0.0972361i
\(143\) −14.5317 52.3383i −0.00849789 0.0306066i
\(144\) −169.640 + 610.989i −0.0981715 + 0.353582i
\(145\) 706.060 + 424.822i 0.404380 + 0.243307i
\(146\) −1654.14 + 2439.67i −0.937655 + 1.38294i
\(147\) −2518.91 + 273.948i −1.41331 + 0.153707i
\(148\) −344.668 + 37.4850i −0.191430 + 0.0208192i
\(149\) 675.098 995.695i 0.371182 0.547453i −0.595525 0.803337i \(-0.703056\pi\)
0.966708 + 0.255884i \(0.0823664\pi\)
\(150\) −552.169 332.229i −0.300563 0.180843i
\(151\) 191.964 691.391i 0.103456 0.372613i −0.893639 0.448787i \(-0.851856\pi\)
0.997095 + 0.0761731i \(0.0242702\pi\)
\(152\) −284.073 1023.14i −0.151588 0.545971i
\(153\) 205.254 123.497i 0.108456 0.0652560i
\(154\) −11.0320 + 203.473i −0.00577262 + 0.106470i
\(155\) −1160.30 + 390.951i −0.601275 + 0.202593i
\(156\) −35.0894 66.1856i −0.0180090 0.0339685i
\(157\) 2216.53 + 2609.50i 1.12674 + 1.32650i 0.938855 + 0.344313i \(0.111888\pi\)
0.187888 + 0.982190i \(0.439836\pi\)
\(158\) −1202.62 1773.73i −0.605540 0.893105i
\(159\) 56.8330 + 1048.22i 0.0283469 + 0.522827i
\(160\) −213.069 534.762i −0.105278 0.264229i
\(161\) 1565.54 + 724.295i 0.766345 + 0.354549i
\(162\) 236.138 51.9778i 0.114523 0.0252084i
\(163\) −807.608 + 1523.31i −0.388078 + 0.731993i −0.998178 0.0603312i \(-0.980784\pi\)
0.610100 + 0.792324i \(0.291129\pi\)
\(164\) −8.68700 + 52.9884i −0.00413622 + 0.0252299i
\(165\) −66.3943 + 50.4717i −0.0313260 + 0.0238134i
\(166\) −2416.64 + 1118.06i −1.12993 + 0.522760i
\(167\) −2963.02 2806.72i −1.37296 1.30054i −0.910265 0.414025i \(-0.864123\pi\)
−0.462699 0.886516i \(-0.653119\pi\)
\(168\) −353.954 2159.02i −0.162548 0.991501i
\(169\) 1369.43 + 461.414i 0.623317 + 0.210020i
\(170\) −412.712 + 1035.83i −0.186198 + 0.467321i
\(171\) −327.850 + 310.556i −0.146616 + 0.138882i
\(172\) 282.575 + 214.808i 0.125268 + 0.0952264i
\(173\) 2152.38 + 473.776i 0.945912 + 0.208211i 0.661037 0.750354i \(-0.270117\pi\)
0.284875 + 0.958565i \(0.408048\pi\)
\(174\) 340.395 400.744i 0.148306 0.174600i
\(175\) 2465.29 + 268.117i 1.06491 + 0.115815i
\(176\) −139.564 −0.0597730
\(177\) −39.1135 1359.00i −0.0166099 0.577111i
\(178\) 3011.73 1.26820
\(179\) −491.818 53.4884i −0.205364 0.0223347i 0.00485867 0.999988i \(-0.498453\pi\)
−0.210223 + 0.977653i \(0.567419\pi\)
\(180\) −74.4623 + 87.6638i −0.0308338 + 0.0363004i
\(181\) −3656.33 804.818i −1.50151 0.330507i −0.613263 0.789879i \(-0.710143\pi\)
−0.888244 + 0.459372i \(0.848074\pi\)
\(182\) 2245.64 + 1707.09i 0.914602 + 0.695262i
\(183\) 922.671 874.000i 0.372709 0.353049i
\(184\) −392.079 + 984.044i −0.157089 + 0.394264i
\(185\) 5063.50 + 1706.09i 2.01230 + 0.678024i
\(186\) 126.398 + 770.991i 0.0498275 + 0.303934i
\(187\) 38.2765 + 36.2574i 0.0149682 + 0.0141786i
\(188\) −367.009 + 169.796i −0.142377 + 0.0658706i
\(189\) −740.731 + 563.089i −0.285081 + 0.216713i
\(190\) 340.073 2074.35i 0.129850 0.792048i
\(191\) −260.832 + 491.981i −0.0988122 + 0.186380i −0.927990 0.372606i \(-0.878464\pi\)
0.829178 + 0.558985i \(0.188809\pi\)
\(192\) 1292.68 284.539i 0.485890 0.106952i
\(193\) −84.7267 39.1987i −0.0315998 0.0146196i 0.404026 0.914748i \(-0.367611\pi\)
−0.435625 + 0.900128i \(0.643473\pi\)
\(194\) 1352.92 + 3395.57i 0.500690 + 1.25664i
\(195\) 62.5039 + 1152.82i 0.0229538 + 0.423359i
\(196\) −431.613 636.582i −0.157293 0.231991i
\(197\) −1535.01 1807.16i −0.555153 0.653577i 0.410973 0.911648i \(-0.365189\pi\)
−0.966126 + 0.258071i \(0.916913\pi\)
\(198\) 24.9275 + 47.0183i 0.00894707 + 0.0168760i
\(199\) −2302.46 + 775.788i −0.820185 + 0.276352i −0.697948 0.716149i \(-0.745903\pi\)
−0.122237 + 0.992501i \(0.539007\pi\)
\(200\) −82.4441 + 1520.59i −0.0291484 + 0.537611i
\(201\) 1779.85 1070.90i 0.624582 0.375798i
\(202\) 343.259 + 1236.31i 0.119563 + 0.430626i
\(203\) −541.312 + 1949.63i −0.187156 + 0.674074i
\(204\) 62.3035 + 37.4868i 0.0213829 + 0.0128657i
\(205\) 464.402 684.942i 0.158221 0.233358i
\(206\) 5029.59 547.001i 1.70111 0.185007i
\(207\) 447.854 48.7071i 0.150377 0.0163545i
\(208\) −1084.21 + 1599.09i −0.361424 + 0.533061i
\(209\) −85.1656 51.2425i −0.0281867 0.0169594i
\(210\) 1158.69 4173.22i 0.380748 1.37133i
\(211\) −790.068 2845.57i −0.257775 0.928421i −0.973243 0.229776i \(-0.926200\pi\)
0.715468 0.698645i \(-0.246213\pi\)
\(212\) −273.036 + 164.280i −0.0884538 + 0.0532209i
\(213\) −17.3645 + 320.270i −0.00558590 + 0.103026i
\(214\) −2184.74 + 736.126i −0.697879 + 0.235143i
\(215\) −2562.36 4833.13i −0.812799 1.53310i
\(216\) −369.904 435.485i −0.116522 0.137180i
\(217\) −1687.23 2488.47i −0.527818 0.778473i
\(218\) 138.333 + 2551.41i 0.0429776 + 0.792674i
\(219\) −1096.47 2751.92i −0.338321 0.849122i
\(220\) −22.9758 10.6297i −0.00704104 0.00325753i
\(221\) 712.779 156.895i 0.216953 0.0477551i
\(222\) 1597.03 3012.32i 0.482818 0.910692i
\(223\) 126.382 770.898i 0.0379515 0.231494i −0.961039 0.276412i \(-0.910854\pi\)
0.998991 + 0.0449183i \(0.0143028\pi\)
\(224\) 1125.29 855.423i 0.335654 0.255158i
\(225\) 587.779 271.935i 0.174157 0.0805734i
\(226\) −2174.11 2059.42i −0.639909 0.606154i
\(227\) −952.422 5809.52i −0.278478 1.69864i −0.641716 0.766943i \(-0.721777\pi\)
0.363238 0.931696i \(-0.381671\pi\)
\(228\) −129.901 43.7686i −0.0377319 0.0127134i
\(229\) 339.956 853.225i 0.0981001 0.246213i −0.871734 0.489980i \(-0.837004\pi\)
0.969834 + 0.243767i \(0.0783834\pi\)
\(230\) −1522.38 + 1442.08i −0.436448 + 0.413426i
\(231\) −163.033 123.934i −0.0464363 0.0353000i
\(232\) −1213.48 267.107i −0.343400 0.0755881i
\(233\) −1064.35 + 1253.05i −0.299262 + 0.352319i −0.891156 0.453698i \(-0.850105\pi\)
0.591894 + 0.806016i \(0.298381\pi\)
\(234\) 732.372 + 79.6502i 0.204601 + 0.0222517i
\(235\) 6232.18 1.72997
\(236\) 358.901 203.715i 0.0989935 0.0561896i
\(237\) 2153.71 0.590290
\(238\) −2721.92 296.026i −0.741326 0.0806241i
\(239\) −3288.78 + 3871.85i −0.890098 + 1.04790i 0.108454 + 0.994101i \(0.465410\pi\)
−0.998552 + 0.0538027i \(0.982866\pi\)
\(240\) 2897.03 + 637.684i 0.779176 + 0.171510i
\(241\) 1388.35 + 1055.39i 0.371084 + 0.282091i 0.774050 0.633124i \(-0.218228\pi\)
−0.402966 + 0.915215i \(0.632021\pi\)
\(242\) 2875.97 2724.26i 0.763943 0.723645i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) 365.580 + 123.178i 0.0959176 + 0.0323184i
\(245\) 1917.63 + 11697.0i 0.500052 + 3.05018i
\(246\) −383.360 363.138i −0.0993584 0.0941173i
\(247\) −1248.73 + 577.725i −0.321680 + 0.148825i
\(248\) 1469.80 1117.31i 0.376341 0.286087i
\(249\) 432.939 2640.81i 0.110186 0.672107i
\(250\) 1040.82 1963.19i 0.263308 0.496652i
\(251\) 880.783 193.875i 0.221492 0.0487541i −0.102838 0.994698i \(-0.532792\pi\)
0.324330 + 0.945944i \(0.394861\pi\)
\(252\) −256.330 118.591i −0.0640766 0.0296450i
\(253\) 36.7002 + 92.1107i 0.00911986 + 0.0228891i
\(254\) 58.5150 + 1079.25i 0.0144549 + 0.266606i
\(255\) −628.866 927.508i −0.154436 0.227776i
\(256\) 894.229 + 1052.77i 0.218318 + 0.257024i
\(257\) −2515.94 4745.56i −0.610661 1.15183i −0.975342 0.220697i \(-0.929167\pi\)
0.364681 0.931132i \(-0.381178\pi\)
\(258\) −3307.90 + 1114.56i −0.798221 + 0.268952i
\(259\) −710.322 + 13101.1i −0.170414 + 3.14311i
\(260\) −300.280 + 180.673i −0.0716254 + 0.0430956i
\(261\) 141.370 + 509.168i 0.0335271 + 0.120754i
\(262\) −1786.83 + 6435.58i −0.421338 + 1.51752i
\(263\) −2825.08 1699.80i −0.662365 0.398532i 0.144305 0.989533i \(-0.453905\pi\)
−0.806671 + 0.591001i \(0.798733\pi\)
\(264\) 70.5746 104.090i 0.0164529 0.0242662i
\(265\) 4882.08 530.959i 1.13171 0.123081i
\(266\) 5131.36 558.069i 1.18280 0.128637i
\(267\) −1698.60 + 2505.25i −0.389335 + 0.574227i
\(268\) 540.262 + 325.065i 0.123141 + 0.0740913i
\(269\) −1234.88 + 4447.63i −0.279896 + 1.00809i 0.681250 + 0.732051i \(0.261437\pi\)
−0.961146 + 0.276042i \(0.910977\pi\)
\(270\) −302.605 1089.89i −0.0682073 0.245660i
\(271\) 3463.12 2083.69i 0.776272 0.467068i −0.0714917 0.997441i \(-0.522776\pi\)
0.847764 + 0.530374i \(0.177948\pi\)
\(272\) 101.524 1872.49i 0.0226315 0.417414i
\(273\) −2686.53 + 905.198i −0.595591 + 0.200678i
\(274\) 2967.94 + 5598.13i 0.654379 + 1.23429i
\(275\) 92.2804 + 108.641i 0.0202353 + 0.0238229i
\(276\) 76.7394 + 113.182i 0.0167361 + 0.0246839i
\(277\) −52.8772 975.262i −0.0114696 0.211544i −0.998650 0.0519379i \(-0.983460\pi\)
0.987181 0.159607i \(-0.0510225\pi\)
\(278\) −1116.16 2801.34i −0.240801 0.604364i
\(279\) −712.620 329.693i −0.152916 0.0707463i
\(280\) −9995.61 + 2200.20i −2.13340 + 0.469597i
\(281\) 3025.72 5707.12i 0.642347 1.21160i −0.321946 0.946758i \(-0.604337\pi\)
0.964293 0.264838i \(-0.0853183\pi\)
\(282\) 643.365 3924.35i 0.135858 0.828694i
\(283\) 475.655 361.583i 0.0999108 0.0759502i −0.554026 0.832499i \(-0.686909\pi\)
0.653937 + 0.756549i \(0.273116\pi\)
\(284\) −88.3601 + 40.8798i −0.0184620 + 0.00854143i
\(285\) 1533.71 + 1452.80i 0.318768 + 0.301953i
\(286\) 26.2319 + 160.008i 0.00542352 + 0.0330820i
\(287\) 1925.66 + 648.831i 0.396057 + 0.133447i
\(288\) 136.639 342.937i 0.0279566 0.0701659i
\(289\) 3052.52 2891.50i 0.621314 0.588540i
\(290\) −1958.17 1488.56i −0.396510 0.301419i
\(291\) −3587.58 789.685i −0.722706 0.159080i
\(292\) 582.124 685.330i 0.116665 0.137349i
\(293\) 7368.30 + 801.351i 1.46915 + 0.159780i 0.807426 0.589969i \(-0.200860\pi\)
0.661723 + 0.749748i \(0.269825\pi\)
\(294\) 7563.46 1.50037
\(295\) −6338.28 + 526.896i −1.25094 + 0.103990i
\(296\) −8057.03 −1.58211
\(297\) −53.1701 5.78260i −0.0103880 0.00112977i
\(298\) −2324.75 + 2736.91i −0.451910 + 0.532030i
\(299\) 1340.48 + 295.063i 0.259272 + 0.0570700i
\(300\) 156.500 + 118.969i 0.0301185 + 0.0228955i
\(301\) 9752.02 9237.60i 1.86743 1.76893i
\(302\) −792.807 + 1989.80i −0.151063 + 0.379139i
\(303\) −1221.99 411.738i −0.231689 0.0780651i
\(304\) 571.933 + 3488.64i 0.107903 + 0.658182i
\(305\) −4316.33 4088.64i −0.810335 0.767590i
\(306\) −648.964 + 300.243i −0.121238 + 0.0560906i
\(307\) 4873.17 3704.49i 0.905949 0.688684i −0.0446843 0.999001i \(-0.514228\pi\)
0.950633 + 0.310317i \(0.100435\pi\)
\(308\) 10.0569 61.3441i 0.00186053 0.0113487i
\(309\) −2381.65 + 4492.27i −0.438470 + 0.827043i
\(310\) 3569.45 785.696i 0.653972 0.143950i
\(311\) 7426.06 + 3435.66i 1.35400 + 0.626426i 0.956649 0.291242i \(-0.0940686\pi\)
0.397348 + 0.917668i \(0.369931\pi\)
\(312\) −644.370 1617.25i −0.116924 0.293457i
\(313\) −336.508 6206.52i −0.0607685 1.12081i −0.856832 0.515596i \(-0.827571\pi\)
0.796063 0.605213i \(-0.206912\pi\)
\(314\) −5735.52 8459.25i −1.03081 1.52033i
\(315\) 2817.91 + 3317.50i 0.504036 + 0.593397i
\(316\) 306.220 + 577.592i 0.0545134 + 0.102823i
\(317\) 1800.11 606.529i 0.318941 0.107464i −0.155277 0.987871i \(-0.549627\pi\)
0.474219 + 0.880407i \(0.342731\pi\)
\(318\) 169.650 3129.02i 0.0299167 0.551782i
\(319\) −99.6576 + 59.9620i −0.0174914 + 0.0105242i
\(320\) −1656.53 5966.30i −0.289385 1.04227i
\(321\) 619.852 2232.51i 0.107778 0.388182i
\(322\) −4412.08 2654.66i −0.763589 0.459436i
\(323\) 749.458 1105.37i 0.129105 0.190416i
\(324\) −73.3286 + 7.97497i −0.0125735 + 0.00136745i
\(325\) 1961.66 213.343i 0.334810 0.0364128i
\(326\) 2888.27 4259.88i 0.490695 0.723720i
\(327\) −2200.35 1323.91i −0.372110 0.223891i
\(328\) −333.833 + 1202.36i −0.0561977 + 0.202406i
\(329\) 4094.06 + 14745.5i 0.686058 + 2.47096i
\(330\) 213.319 128.350i 0.0355843 0.0214104i
\(331\) 126.074 2325.30i 0.0209356 0.386134i −0.969223 0.246184i \(-0.920823\pi\)
0.990159 0.139950i \(-0.0446941\pi\)
\(332\) 769.780 259.369i 0.127251 0.0428757i
\(333\) 1605.02 + 3027.39i 0.264128 + 0.498198i
\(334\) 7887.11 + 9285.42i 1.29211 + 1.52118i
\(335\) −5453.18 8042.84i −0.889370 1.31172i
\(336\) 394.349 + 7273.34i 0.0640282 + 1.18093i
\(337\) −1658.91 4163.56i −0.268151 0.673007i 0.731813 0.681505i \(-0.238674\pi\)
−0.999964 + 0.00849798i \(0.997295\pi\)
\(338\) −3914.95 1811.25i −0.630016 0.291476i
\(339\) 2939.27 646.982i 0.470912 0.103656i
\(340\) 159.329 300.527i 0.0254143 0.0479364i
\(341\) 27.9589 170.542i 0.00444006 0.0270832i
\(342\) 1073.15 815.785i 0.169676 0.128984i
\(343\) −15687.9 + 7257.97i −2.46958 + 1.14255i
\(344\) 5988.57 + 5672.68i 0.938611 + 0.889100i
\(345\) −340.948 2079.69i −0.0532058 0.324541i
\(346\) −6234.44 2100.63i −0.968687 0.326389i
\(347\) −801.574 + 2011.80i −0.124008 + 0.311237i −0.977854 0.209290i \(-0.932885\pi\)
0.853846 + 0.520526i \(0.174264\pi\)
\(348\) −116.451 + 110.308i −0.0179379 + 0.0169917i
\(349\) 3697.81 + 2811.00i 0.567162 + 0.431145i 0.849058 0.528300i \(-0.177170\pi\)
−0.281896 + 0.959445i \(0.590963\pi\)
\(350\) −7229.39 1591.31i −1.10408 0.243026i
\(351\) −479.309 + 564.286i −0.0728878 + 0.0858101i
\(352\) 80.7739 + 8.78470i 0.0122309 + 0.00133019i
\(353\) 1442.84 0.217549 0.108775 0.994066i \(-0.465307\pi\)
0.108775 + 0.994066i \(0.465307\pi\)
\(354\) −322.535 + 4045.55i −0.0484253 + 0.607397i
\(355\) 1500.45 0.224325
\(356\) −913.378 99.3358i −0.135980 0.0147887i
\(357\) 1781.39 2097.21i 0.264093 0.310914i
\(358\) 1442.24 + 317.461i 0.212918 + 0.0468669i
\(359\) −3860.68 2934.81i −0.567573 0.431458i 0.281631 0.959523i \(-0.409125\pi\)
−0.849204 + 0.528065i \(0.822918\pi\)
\(360\) −1940.56 + 1838.19i −0.284101 + 0.269115i
\(361\) 1606.90 4033.00i 0.234275 0.587987i
\(362\) 10590.7 + 3568.41i 1.53766 + 0.518098i
\(363\) 644.091 + 3928.78i 0.0931295 + 0.568065i
\(364\) −624.737 591.782i −0.0899591 0.0852138i
\(365\) −12577.1 + 5818.80i −1.80361 + 0.834438i
\(366\) −3020.17 + 2295.87i −0.431330 + 0.327888i
\(367\) −1429.53 + 8719.78i −0.203327 + 1.24024i 0.665980 + 0.745970i \(0.268014\pi\)
−0.869307 + 0.494272i \(0.835435\pi\)
\(368\) 1651.92 3115.85i 0.234001 0.441372i
\(369\) 518.282 114.083i 0.0731184 0.0160946i
\(370\) −14475.7 6697.15i −2.03393 0.940996i
\(371\) 4463.41 + 11202.3i 0.624606 + 1.56764i
\(372\) −12.9034 237.990i −0.00179842 0.0331699i
\(373\) 6687.72 + 9863.64i 0.928356 + 1.36922i 0.929341 + 0.369223i \(0.120376\pi\)
−0.000984854 1.00000i \(0.500313\pi\)
\(374\) −101.886 119.950i −0.0140867 0.0165841i
\(375\) 1046.02 + 1973.01i 0.144044 + 0.271696i
\(376\) −8905.60 + 3000.65i −1.22147 + 0.411560i
\(377\) −87.1650 + 1607.66i −0.0119078 + 0.219626i
\(378\) 2379.90 1431.94i 0.323833 0.194844i
\(379\) −685.862 2470.25i −0.0929561 0.334798i 0.902419 0.430859i \(-0.141789\pi\)
−0.995375 + 0.0960613i \(0.969376\pi\)
\(380\) −171.553 + 617.879i −0.0231592 + 0.0834119i
\(381\) −930.750 560.014i −0.125154 0.0753028i
\(382\) 932.820 1375.81i 0.124940 0.184273i
\(383\) −2837.06 + 308.549i −0.378504 + 0.0411648i −0.295394 0.955376i \(-0.595451\pi\)
−0.0831100 + 0.996540i \(0.526485\pi\)
\(384\) −4906.58 + 533.623i −0.652052 + 0.0709149i
\(385\) −537.634 + 792.951i −0.0711698 + 0.104968i
\(386\) 238.781 + 143.670i 0.0314861 + 0.0189446i
\(387\) 938.512 3380.22i 0.123275 0.443995i
\(388\) −298.308 1074.41i −0.0390317 0.140580i
\(389\) 12608.1 7586.03i 1.64333 0.988758i 0.675429 0.737425i \(-0.263959\pi\)
0.967901 0.251333i \(-0.0808689\pi\)
\(390\) 186.579 3441.24i 0.0242251 0.446805i
\(391\) −1262.52 + 425.392i −0.163295 + 0.0550205i
\(392\) −8372.05 15791.4i −1.07871 2.03465i
\(393\) −4345.54 5115.97i −0.557770 0.656657i
\(394\) 3972.01 + 5858.28i 0.507886 + 0.749076i
\(395\) −545.463 10060.5i −0.0694815 1.28151i
\(396\) −6.00905 15.0816i −0.000762540 0.00191383i
\(397\) −12695.8 5873.72i −1.60500 0.742553i −0.606387 0.795169i \(-0.707382\pi\)
−0.998615 + 0.0526162i \(0.983244\pi\)
\(398\) 7083.08 1559.10i 0.892067 0.196359i
\(399\) −2429.84 + 4583.16i −0.304873 + 0.575051i
\(400\) 820.229 5003.18i 0.102529 0.625397i
\(401\) −1305.83 + 992.669i −0.162619 + 0.123620i −0.683319 0.730120i \(-0.739464\pi\)
0.520700 + 0.853740i \(0.325671\pi\)
\(402\) −5627.45 + 2603.54i −0.698189 + 0.323016i
\(403\) −1736.82 1645.20i −0.214683 0.203358i
\(404\) −63.3243 386.261i −0.00779828 0.0475674i
\(405\) 1077.27 + 362.973i 0.132172 + 0.0445340i
\(406\) 2235.61 5610.95i 0.273279 0.685879i
\(407\) −547.525 + 518.644i −0.0666826 + 0.0631651i
\(408\) 1345.20 + 1022.60i 0.163229 + 0.124084i
\(409\) 12303.3 + 2708.15i 1.48743 + 0.327407i 0.883045 0.469288i \(-0.155489\pi\)
0.604381 + 0.796695i \(0.293420\pi\)
\(410\) −1599.20 + 1882.73i −0.192632 + 0.226784i
\(411\) −6330.59 688.493i −0.759768 0.0826298i
\(412\) −1543.38 −0.184556
\(413\) −5410.40 14650.4i −0.644621 1.74551i
\(414\) −1344.76 −0.159641
\(415\) −12445.5 1353.52i −1.47210 0.160101i
\(416\) 728.147 857.241i 0.0858181 0.101033i
\(417\) 2959.74 + 651.489i 0.347576 + 0.0765073i
\(418\) 236.197 + 179.552i 0.0276382 + 0.0210100i
\(419\) −8972.49 + 8499.19i −1.04614 + 0.990961i −0.999968 0.00797249i \(-0.997462\pi\)
−0.0461764 + 0.998933i \(0.514704\pi\)
\(420\) −489.045 + 1227.41i −0.0568165 + 0.142599i
\(421\) −11136.1 3752.20i −1.28917 0.434373i −0.410528 0.911848i \(-0.634656\pi\)
−0.878645 + 0.477475i \(0.841552\pi\)
\(422\) 1426.20 + 8699.41i 0.164517 + 1.00351i
\(423\) 2901.54 + 2748.48i 0.333517 + 0.315924i
\(424\) −6720.70 + 3109.33i −0.769779 + 0.356138i
\(425\) −1524.73 + 1159.07i −0.174024 + 0.132290i
\(426\) 154.895 944.818i 0.0176166 0.107457i
\(427\) 6838.32 12898.4i 0.775011 1.46183i
\(428\) 686.855 151.188i 0.0775710 0.0170747i
\(429\) −147.894 68.4229i −0.0166442 0.00770044i
\(430\) 6044.14 + 15169.6i 0.677847 + 1.70127i
\(431\) 842.103 + 15531.7i 0.0941129 + 1.73581i 0.540828 + 0.841133i \(0.318111\pi\)
−0.446715 + 0.894676i \(0.647406\pi\)
\(432\) 1067.55 + 1574.52i 0.118895 + 0.175357i
\(433\) 3127.72 + 3682.24i 0.347134 + 0.408677i 0.907826 0.419347i \(-0.137741\pi\)
−0.560692 + 0.828024i \(0.689465\pi\)
\(434\) 4203.83 + 7929.26i 0.464954 + 0.876997i
\(435\) 2342.63 789.324i 0.258208 0.0870004i
\(436\) 42.2002 778.336i 0.00463537 0.0854944i
\(437\) 2152.06 1294.85i 0.235577 0.141742i
\(438\) 2365.68 + 8520.40i 0.258074 + 0.929499i
\(439\) 4617.96 16632.4i 0.502057 1.80825i −0.0821216 0.996622i \(-0.526170\pi\)
0.584179 0.811625i \(-0.301417\pi\)
\(440\) −504.099 303.307i −0.0546182 0.0328627i
\(441\) −4265.75 + 6291.51i −0.460614 + 0.679356i
\(442\) −2165.86 + 235.551i −0.233075 + 0.0253485i
\(443\) −3644.24 + 396.335i −0.390842 + 0.0425066i −0.301430 0.953488i \(-0.597464\pi\)
−0.0894114 + 0.995995i \(0.528499\pi\)
\(444\) −583.692 + 860.881i −0.0623892 + 0.0920172i
\(445\) 12132.7 + 7300.03i 1.29247 + 0.777650i
\(446\) −623.850 + 2246.90i −0.0662335 + 0.238552i
\(447\) −965.495 3477.40i −0.102162 0.367954i
\(448\) 13028.2 7838.80i 1.37394 0.826670i
\(449\) −830.940 + 15325.8i −0.0873374 + 1.61084i 0.546556 + 0.837423i \(0.315939\pi\)
−0.633893 + 0.773420i \(0.718544\pi\)
\(450\) −1832.04 + 617.286i −0.191918 + 0.0646647i
\(451\) 54.7117 + 103.197i 0.00571235 + 0.0107746i
\(452\) 591.422 + 696.276i 0.0615446 + 0.0724559i
\(453\) −1208.03 1781.71i −0.125294 0.184795i
\(454\) 951.399 + 17547.5i 0.0983510 + 1.81398i
\(455\) 4908.78 + 12320.1i 0.505774 + 1.26940i
\(456\) −2891.11 1337.57i −0.296905 0.137363i
\(457\) 380.605 83.7775i 0.0389583 0.00857538i −0.195449 0.980714i \(-0.562616\pi\)
0.234407 + 0.972139i \(0.424685\pi\)
\(458\) −1284.21 + 2422.29i −0.131021 + 0.247131i
\(459\) 116.261 709.162i 0.0118227 0.0721151i
\(460\) 509.263 387.131i 0.0516185 0.0392393i
\(461\) 1850.91 856.321i 0.186997 0.0865138i −0.324157 0.946003i \(-0.605081\pi\)
0.511153 + 0.859490i \(0.329218\pi\)
\(462\) 443.813 + 420.402i 0.0446927 + 0.0423352i
\(463\) −999.797 6098.49i −0.100355 0.612140i −0.988339 0.152266i \(-0.951343\pi\)
0.887984 0.459874i \(-0.152105\pi\)
\(464\) 3920.22 + 1320.88i 0.392224 + 0.132156i
\(465\) −1359.59 + 3412.30i −0.135590 + 0.340305i
\(466\) 3562.95 3375.01i 0.354186 0.335503i
\(467\) −14121.1 10734.6i −1.39925 1.06368i −0.988383 0.151981i \(-0.951435\pi\)
−0.410862 0.911698i \(-0.634772\pi\)
\(468\) −219.482 48.3116i −0.0216785 0.00477180i
\(469\) 15447.2 18185.9i 1.52087 1.79050i
\(470\) −18494.4 2011.39i −1.81507 0.197401i
\(471\) 10271.5 1.00485
\(472\) 8803.51 3804.64i 0.858505 0.371023i
\(473\) 772.120 0.0750574
\(474\) −6391.30 695.096i −0.619329 0.0673561i
\(475\) 2337.49 2751.91i 0.225793 0.265824i
\(476\) 815.721 + 179.554i 0.0785473 + 0.0172896i
\(477\) 2507.13 + 1905.87i 0.240657 + 0.182943i
\(478\) 11009.3 10428.6i 1.05346 0.997889i
\(479\) 4291.04 10769.7i 0.409316 1.02731i −0.569395 0.822064i \(-0.692822\pi\)
0.978711 0.205242i \(-0.0657983\pi\)
\(480\) −1636.54 551.414i −0.155620 0.0524344i
\(481\) 1689.01 + 10302.5i 0.160108 + 0.976617i
\(482\) −3779.39 3580.03i −0.357151 0.338311i
\(483\) 4696.61 2172.88i 0.442450 0.204699i
\(484\) −962.059 + 731.338i −0.0903511 + 0.0686831i
\(485\) −2780.18 + 16958.3i −0.260292 + 1.58771i
\(486\) 339.770 640.874i 0.0317125 0.0598162i
\(487\) −4553.24 + 1002.24i −0.423670 + 0.0932567i −0.421687 0.906741i \(-0.638562\pi\)
−0.00198224 + 0.999998i \(0.500631\pi\)
\(488\) 8136.47 + 3764.33i 0.754756 + 0.349187i
\(489\) 1914.52 + 4805.09i 0.177051 + 0.444364i
\(490\) −1915.57 35330.6i −0.176605 3.25729i
\(491\) −8062.44 11891.2i −0.741045 1.09296i −0.992157 0.125001i \(-0.960106\pi\)
0.251112 0.967958i \(-0.419204\pi\)
\(492\) 104.286 + 122.775i 0.00955601 + 0.0112502i
\(493\) −731.999 1380.70i −0.0668713 0.126133i
\(494\) 3892.16 1311.42i 0.354487 0.119440i
\(495\) −13.5456 + 249.834i −0.00122996 + 0.0226852i
\(496\) −5266.94 + 3169.01i −0.476799 + 0.286881i
\(497\) 985.677 + 3550.09i 0.0889611 + 0.320409i
\(498\) −2137.08 + 7697.07i −0.192299 + 0.692598i
\(499\) 14320.8 + 8616.55i 1.28475 + 0.773006i 0.983564 0.180561i \(-0.0577914\pi\)
0.301182 + 0.953567i \(0.402619\pi\)
\(500\) −380.404 + 561.054i −0.0340244 + 0.0501822i
\(501\) −12172.2 + 1323.80i −1.08545 + 0.118050i
\(502\) −2676.36 + 291.071i −0.237951 + 0.0258788i
\(503\) 3698.96 5455.56i 0.327890 0.483601i −0.627637 0.778506i \(-0.715978\pi\)
0.955527 + 0.294905i \(0.0952880\pi\)
\(504\) −5624.01 3383.85i −0.497050 0.299065i
\(505\) −1613.83 + 5812.48i −0.142207 + 0.512182i
\(506\) −79.1825 285.189i −0.00695670 0.0250558i
\(507\) 3714.66 2235.04i 0.325392 0.195782i
\(508\) 17.8507 329.236i 0.00155905 0.0287549i
\(509\) 292.530 98.5649i 0.0254738 0.00858313i −0.306536 0.951859i \(-0.599170\pi\)
0.332010 + 0.943276i \(0.392273\pi\)
\(510\) 1566.86 + 2955.41i 0.136042 + 0.256603i
\(511\) −22029.6 25935.3i −1.90711 2.24522i
\(512\) 5072.07 + 7480.75i 0.437805 + 0.645714i
\(513\) 73.3452 + 1352.77i 0.00631242 + 0.116426i
\(514\) 5934.63 + 14894.8i 0.509271 + 1.27817i
\(515\) 21587.5 + 9987.46i 1.84711 + 0.854563i
\(516\) 1039.96 228.913i 0.0887242 0.0195297i
\(517\) −412.035 + 777.180i −0.0350508 + 0.0661128i
\(518\) 6336.22 38649.2i 0.537447 3.27828i
\(519\) 5263.55 4001.25i 0.445172 0.338411i
\(520\) −7391.31 + 3419.58i −0.623327 + 0.288382i
\(521\) 5725.57 + 5423.55i 0.481462 + 0.456065i 0.889523 0.456889i \(-0.151037\pi\)
−0.408062 + 0.912954i \(0.633795\pi\)
\(522\) −255.195 1556.62i −0.0213976 0.130520i
\(523\) −5307.65 1788.35i −0.443761 0.149521i 0.0885454 0.996072i \(-0.471778\pi\)
−0.532307 + 0.846552i \(0.678675\pi\)
\(524\) 754.162 1892.80i 0.0628735 0.157801i
\(525\) 5401.03 5116.13i 0.448991 0.425307i
\(526\) 7835.03 + 5956.04i 0.649474 + 0.493718i
\(527\) 2267.77 + 499.175i 0.187449 + 0.0412607i
\(528\) −271.056 + 319.112i −0.0223413 + 0.0263022i
\(529\) 9604.86 + 1044.59i 0.789419 + 0.0858545i
\(530\) −14659.3 −1.20143
\(531\) −3183.30 2549.96i −0.260157 0.208397i
\(532\) −1574.61 −0.128323
\(533\) 1607.43 + 174.819i 0.130630 + 0.0142068i
\(534\) 5849.26 6886.28i 0.474012 0.558050i
\(535\) −10585.5 2330.05i −0.855423 0.188293i
\(536\) 11664.9 + 8867.39i 0.940009 + 0.714577i
\(537\) −1077.49 + 1020.65i −0.0865867 + 0.0820193i
\(538\) 5100.03 12800.1i 0.408695 1.02575i
\(539\) −1585.45 534.200i −0.126698 0.0426894i
\(540\) 55.8244 + 340.514i 0.00444871 + 0.0271359i
\(541\) 6287.14 + 5955.50i 0.499640 + 0.473284i 0.895522 0.445017i \(-0.146802\pi\)
−0.395882 + 0.918301i \(0.629561\pi\)
\(542\) −10949.6 + 5065.80i −0.867756 + 0.401467i
\(543\) −8941.37 + 6797.06i −0.706650 + 0.537182i
\(544\) −176.619 + 1077.33i −0.0139200 + 0.0849084i
\(545\) −5626.99 + 10613.6i −0.442264 + 0.834198i
\(546\) 8264.61 1819.18i 0.647789 0.142589i
\(547\) 15010.5 + 6944.59i 1.17331 + 0.542832i 0.907031 0.421063i \(-0.138343\pi\)
0.266281 + 0.963895i \(0.414205\pi\)
\(548\) −715.454 1795.65i −0.0557713 0.139975i
\(549\) −206.416 3807.12i −0.0160467 0.295964i
\(550\) −238.785 352.182i −0.0185124 0.0273038i
\(551\) 1907.25 + 2245.38i 0.147462 + 0.173605i
\(552\) 1488.52 + 2807.65i 0.114775 + 0.216488i
\(553\) 23445.0 7899.53i 1.80286 0.607454i
\(554\) −157.842 + 2911.22i −0.0121048 + 0.223260i
\(555\) 13735.1 8264.12i 1.05049 0.632059i
\(556\) 246.104 + 886.386i 0.0187718 + 0.0676100i
\(557\) −534.682 + 1925.75i −0.0406736 + 0.146493i −0.981099 0.193508i \(-0.938014\pi\)
0.940425 + 0.340001i \(0.110427\pi\)
\(558\) 2008.34 + 1208.38i 0.152366 + 0.0916753i
\(559\) 5998.23 8846.73i 0.453843 0.669369i
\(560\) 33875.4 3684.18i 2.55625 0.278009i
\(561\) 157.241 17.1010i 0.0118337 0.00128700i
\(562\) −10821.0 + 15959.8i −0.812198 + 1.19790i
\(563\) −2606.00 1567.98i −0.195079 0.117375i 0.414663 0.909975i \(-0.363900\pi\)
−0.609742 + 0.792600i \(0.708727\pi\)
\(564\) −324.552 + 1168.93i −0.0242307 + 0.0872711i
\(565\) −3766.61 13566.1i −0.280465 1.01014i
\(566\) −1528.24 + 919.510i −0.113492 + 0.0682860i
\(567\) −151.122 + 2787.28i −0.0111932 + 0.206446i
\(568\) −2144.09 + 722.428i −0.158387 + 0.0533669i
\(569\) 2264.27 + 4270.87i 0.166825 + 0.314665i 0.952803 0.303589i \(-0.0981850\pi\)
−0.785978 + 0.618254i \(0.787840\pi\)
\(570\) −4082.50 4806.29i −0.299995 0.353181i
\(571\) 224.565 + 331.208i 0.0164584 + 0.0242743i 0.835829 0.548990i \(-0.184987\pi\)
−0.819371 + 0.573264i \(0.805677\pi\)
\(572\) −2.67792 49.3913i −0.000195751 0.00361041i
\(573\) 618.331 + 1551.89i 0.0450805 + 0.113144i
\(574\) −5505.13 2546.95i −0.400313 0.185205i
\(575\) −3517.73 + 774.310i −0.255129 + 0.0561582i
\(576\) 1859.99 3508.30i 0.134548 0.253784i
\(577\) −1099.86 + 6708.84i −0.0793548 + 0.484043i 0.917011 + 0.398862i \(0.130595\pi\)
−0.996366 + 0.0851803i \(0.972853\pi\)
\(578\) −9991.76 + 7595.54i −0.719036 + 0.546597i
\(579\) −254.180 + 117.596i −0.0182442 + 0.00844064i
\(580\) 544.765 + 516.029i 0.0390002 + 0.0369430i
\(581\) −4973.23 30335.4i −0.355119 2.16613i
\(582\) 10391.5 + 3501.31i 0.740107 + 0.249371i
\(583\) −256.561 + 643.921i −0.0182259 + 0.0457435i
\(584\) 15170.7 14370.5i 1.07495 1.01824i
\(585\) 2757.29 + 2096.04i 0.194872 + 0.148138i
\(586\) −21607.3 4756.13i −1.52319 0.335280i
\(587\) 12166.5 14323.5i 0.855475 1.00714i −0.144370 0.989524i \(-0.546116\pi\)
0.999845 0.0176191i \(-0.00560861\pi\)
\(588\) −2293.80 249.466i −0.160875 0.0174962i
\(589\) −4377.55 −0.306238
\(590\) 18979.3 + 482.032i 1.32435 + 0.0336355i
\(591\) −7113.28 −0.495095
\(592\) 26667.1 + 2900.23i 1.85137 + 0.201349i
\(593\) −17924.8 + 21102.7i −1.24129 + 1.46136i −0.403854 + 0.914823i \(0.632330\pi\)
−0.837436 + 0.546536i \(0.815946\pi\)
\(594\) 155.920 + 34.3205i 0.0107701 + 0.00237069i
\(595\) −10247.7 7790.10i −0.706075 0.536744i
\(596\) 795.307 753.355i 0.0546595 0.0517762i
\(597\) −2697.91 + 6771.24i −0.184955 + 0.464201i
\(598\) −3882.75 1308.25i −0.265514 0.0894621i
\(599\) −665.885 4061.72i −0.0454212 0.277057i 0.954344 0.298709i \(-0.0965559\pi\)
−0.999766 + 0.0216514i \(0.993108\pi\)
\(600\) 3316.69 + 3141.74i 0.225672 + 0.213768i
\(601\) 13160.1 6088.52i 0.893199 0.413238i 0.0810650 0.996709i \(-0.474168\pi\)
0.812134 + 0.583471i \(0.198306\pi\)
\(602\) −31921.2 + 24265.8i −2.16115 + 1.64286i
\(603\) 1008.15 6149.46i 0.0680848 0.415299i
\(604\) 306.067 577.303i 0.0206187 0.0388910i
\(605\) 18189.1 4003.71i 1.22230 0.269048i
\(606\) 3493.47 + 1616.25i 0.234179 + 0.108343i
\(607\) −1312.39 3293.85i −0.0877567 0.220253i 0.878548 0.477655i \(-0.158513\pi\)
−0.966304 + 0.257402i \(0.917134\pi\)
\(608\) −111.423 2055.08i −0.00743224 0.137080i
\(609\) 3406.49 + 5024.19i 0.226663 + 0.334303i
\(610\) 11489.4 + 13526.4i 0.762611 + 0.897815i
\(611\) 5703.81 + 10758.5i 0.377662 + 0.712345i
\(612\) 206.716 69.6508i 0.0136536 0.00460044i
\(613\) −397.799 + 7336.97i −0.0262104 + 0.483422i 0.955732 + 0.294240i \(0.0950664\pi\)
−0.981942 + 0.189182i \(0.939416\pi\)
\(614\) −15657.1 + 9420.54i −1.02910 + 0.619189i
\(615\) −664.167 2392.11i −0.0435476 0.156844i
\(616\) 386.476 1391.96i 0.0252785 0.0910449i
\(617\) −9066.16 5454.93i −0.591556 0.355927i 0.188087 0.982152i \(-0.439771\pi\)
−0.779642 + 0.626225i \(0.784599\pi\)
\(618\) 8517.56 12562.5i 0.554412 0.817696i
\(619\) −18441.2 + 2005.60i −1.19744 + 0.130229i −0.685030 0.728515i \(-0.740211\pi\)
−0.512405 + 0.858744i \(0.671245\pi\)
\(620\) −1108.43 + 120.550i −0.0717997 + 0.00780869i
\(621\) 758.436 1118.61i 0.0490097 0.0722838i
\(622\) −20928.5 12592.3i −1.34913 0.811743i
\(623\) −9301.75 + 33501.9i −0.598181 + 2.15445i
\(624\) 1550.59 + 5584.71i 0.0994762 + 0.358281i
\(625\) 16658.8 10023.3i 1.06616 0.641490i
\(626\) −1004.50 + 18526.9i −0.0641339 + 1.18288i
\(627\) −282.570 + 95.2091i −0.0179980 + 0.00606425i
\(628\) 1460.42 + 2754.64i 0.0927978 + 0.175035i
\(629\) −6560.20 7723.27i −0.415855 0.489582i
\(630\) −7291.65 10754.4i −0.461121 0.680103i
\(631\) −607.104 11197.4i −0.0383018 0.706435i −0.953124 0.302579i \(-0.902152\pi\)
0.914822 0.403856i \(-0.132330\pi\)
\(632\) 5623.32 + 14113.5i 0.353930 + 0.888297i
\(633\) −8040.79 3720.06i −0.504886 0.233585i
\(634\) −5537.71 + 1218.94i −0.346894 + 0.0763571i
\(635\) −2380.22 + 4489.57i −0.148750 + 0.280572i
\(636\) −154.655 + 943.353i −0.00964224 + 0.0588150i
\(637\) −18437.3 + 14015.7i −1.14680 + 0.871776i
\(638\) 315.093 145.778i 0.0195528 0.00904607i
\(639\) 698.567 + 661.718i 0.0432471 + 0.0409658i
\(640\) 3735.34 + 22784.5i 0.230706 + 1.40725i
\(641\) −26071.9 8784.65i −1.60652 0.541299i −0.633842 0.773463i \(-0.718523\pi\)
−0.972677 + 0.232164i \(0.925419\pi\)
\(642\) −2559.98 + 6425.06i −0.157374 + 0.394980i
\(643\) −12541.7 + 11880.1i −0.769198 + 0.728623i −0.967872 0.251442i \(-0.919095\pi\)
0.198674 + 0.980066i \(0.436337\pi\)
\(644\) 1250.51 + 950.611i 0.0765169 + 0.0581667i
\(645\) −16027.4 3527.90i −0.978416 0.215366i
\(646\) −2580.82 + 3038.37i −0.157184 + 0.185051i
\(647\) −25211.8 2741.95i −1.53196 0.166611i −0.697060 0.717013i \(-0.745509\pi\)
−0.834900 + 0.550402i \(0.814474\pi\)
\(648\) −1714.14 −0.103916
\(649\) 353.343 825.245i 0.0213712 0.0499133i
\(650\) −5890.21 −0.355435
\(651\) −8966.73 975.190i −0.539837 0.0587108i
\(652\) −1016.44 + 1196.64i −0.0610534 + 0.0718776i
\(653\) −26047.7 5733.54i −1.56099 0.343600i −0.651278 0.758839i \(-0.725767\pi\)
−0.909712 + 0.415239i \(0.863698\pi\)
\(654\) 6102.42 + 4638.94i 0.364868 + 0.277365i
\(655\) −22797.2 + 21594.7i −1.35994 + 1.28820i
\(656\) 1537.72 3859.40i 0.0915214 0.229701i
\(657\) −8421.75 2837.62i −0.500097 0.168502i
\(658\) −7390.42 45079.6i −0.437855 2.67080i
\(659\) 5204.80 + 4930.25i 0.307663 + 0.291434i 0.825916 0.563793i \(-0.190659\pi\)
−0.518252 + 0.855228i \(0.673417\pi\)
\(660\) −68.9274 + 31.8892i −0.00406514 + 0.00188074i
\(661\) 4500.04 3420.84i 0.264797 0.201294i −0.464347 0.885653i \(-0.653711\pi\)
0.729145 + 0.684359i \(0.239918\pi\)
\(662\) −1124.61 + 6859.81i −0.0660260 + 0.402741i
\(663\) 1025.59 1934.47i 0.0600765 0.113316i
\(664\) 18435.9 4058.04i 1.07748 0.237172i
\(665\) 22024.3 + 10189.5i 1.28431 + 0.594186i
\(666\) −3785.94 9501.99i −0.220273 0.552845i
\(667\) −159.112 2934.64i −0.00923662 0.170359i
\(668\) −2085.69 3076.16i −0.120805 0.178174i
\(669\) −1517.19 1786.18i −0.0876802 0.103225i
\(670\) 13586.9 + 25627.7i 0.783446 + 1.47774i
\(671\) 795.241 267.948i 0.0457525 0.0154158i
\(672\) 229.578 4234.32i 0.0131788 0.243069i
\(673\) −1542.16 + 927.887i −0.0883297 + 0.0531462i −0.559033 0.829145i \(-0.688828\pi\)
0.470704 + 0.882291i \(0.344000\pi\)
\(674\) 3579.18 + 12891.0i 0.204547 + 0.736713i
\(675\) 519.783 1872.09i 0.0296392 0.106751i
\(676\) 1127.56 + 678.431i 0.0641534 + 0.0385998i
\(677\) −3541.35 + 5223.09i −0.201041 + 0.296514i −0.914823 0.403854i \(-0.867670\pi\)
0.713782 + 0.700368i \(0.246981\pi\)
\(678\) −8931.30 + 971.337i −0.505906 + 0.0550206i
\(679\) −41950.2 + 4562.35i −2.37099 + 0.257860i
\(680\) 4436.08 6542.72i 0.250170 0.368973i
\(681\) −15133.1 9105.30i −0.851546 0.512358i
\(682\) −138.011 + 497.071i −0.00774886 + 0.0279089i
\(683\) −5759.58 20744.1i −0.322671 1.16216i −0.929956 0.367672i \(-0.880155\pi\)
0.607285 0.794484i \(-0.292259\pi\)
\(684\) −352.364 + 212.010i −0.0196973 + 0.0118515i
\(685\) −1612.78 + 29745.9i −0.0899577 + 1.65917i
\(686\) 48897.3 16475.4i 2.72144 0.916959i
\(687\) −1290.64 2434.40i −0.0716753 0.135194i
\(688\) −17779.0 20931.1i −0.985202 1.15987i
\(689\) 5384.75 + 7941.92i 0.297740 + 0.439134i
\(690\) 340.582 + 6281.66i 0.0187909 + 0.346578i
\(691\) 9761.60 + 24499.8i 0.537408 + 1.34879i 0.907600 + 0.419837i \(0.137913\pi\)
−0.370192 + 0.928955i \(0.620708\pi\)
\(692\) 1821.46 + 842.695i 0.100060 + 0.0462926i
\(693\) −600.010 + 132.072i −0.0328896 + 0.00723955i
\(694\) 3028.02 5711.45i 0.165623 0.312397i
\(695\) 2293.64 13990.6i 0.125184 0.763588i
\(696\) −2967.51 + 2255.84i −0.161614 + 0.122855i
\(697\) −1424.37 + 658.982i −0.0774056 + 0.0358116i
\(698\) −10066.3 9535.29i −0.545866 0.517072i
\(699\) 797.946 + 4867.25i 0.0431775 + 0.263371i
\(700\) 2140.00 + 721.048i 0.115549 + 0.0389330i
\(701\) 5581.35 14008.1i 0.300720 0.754751i −0.698513 0.715597i \(-0.746155\pi\)
0.999233 0.0391533i \(-0.0124661\pi\)
\(702\) 1604.50 1519.86i 0.0862650 0.0817145i
\(703\) 15208.1 + 11560.9i 0.815910 + 0.620239i
\(704\) 853.543 + 187.879i 0.0456948 + 0.0100582i
\(705\) 12103.9 14249.8i 0.646608 0.761246i
\(706\) −4281.74 465.667i −0.228251 0.0248238i
\(707\) −14812.6 −0.787957
\(708\) 231.251 1216.27i 0.0122753 0.0645625i
\(709\) 31241.4 1.65486 0.827429 0.561570i \(-0.189802\pi\)
0.827429 + 0.561570i \(0.189802\pi\)
\(710\) −4452.68 484.258i −0.235361 0.0255970i
\(711\) 4182.86 4924.44i 0.220632 0.259748i
\(712\) −20852.1 4589.89i −1.09756 0.241592i
\(713\) 3476.52 + 2642.78i 0.182604 + 0.138812i
\(714\) −5963.25 + 5648.69i −0.312562 + 0.296074i
\(715\) −282.162 + 708.172i −0.0147584 + 0.0370408i
\(716\) −426.922 143.847i −0.0222833 0.00750811i
\(717\) 2465.60 + 15039.5i 0.128423 + 0.783347i
\(718\) 10509.6 + 9955.25i 0.546262 + 0.517447i
\(719\) −7283.64 + 3369.77i −0.377794 + 0.174786i −0.599591 0.800307i \(-0.704670\pi\)
0.221797 + 0.975093i \(0.428808\pi\)
\(720\) 7084.54 5385.53i 0.366702 0.278759i
\(721\) −9449.20 + 57637.6i −0.488081 + 2.97716i
\(722\) −6070.20 + 11449.6i −0.312894 + 0.590180i
\(723\) 5109.53 1124.69i 0.262829 0.0578531i
\(724\) −3094.17 1431.51i −0.158831 0.0734832i
\(725\) −1563.86 3924.98i −0.0801106 0.201062i
\(726\) −643.400 11866.8i −0.0328909 0.606637i
\(727\) −11585.5 17087.3i −0.591033 0.871709i 0.408117 0.912930i \(-0.366186\pi\)
−0.999150 + 0.0412207i \(0.986875\pi\)
\(728\) −12946.3 15241.6i −0.659097 0.775949i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 39201.5 13208.5i 1.98755 0.669684i
\(731\) −561.666 + 10359.3i −0.0284186 + 0.524149i
\(732\) 991.661 596.663i 0.0500722 0.0301274i
\(733\) −1323.73 4767.65i −0.0667027 0.240242i 0.922682 0.385562i \(-0.125992\pi\)
−0.989385 + 0.145321i \(0.953579\pi\)
\(734\) 7056.49 25415.2i 0.354850 1.27805i
\(735\) 30469.4 + 18332.8i 1.52909 + 0.920022i
\(736\) −1152.19 + 1699.35i −0.0577040 + 0.0851070i
\(737\) 1363.51 148.290i 0.0681485 0.00741160i
\(738\) −1574.86 + 171.276i −0.0785519 + 0.00854303i
\(739\) −9106.82 + 13431.5i −0.453315 + 0.668589i −0.983834 0.179084i \(-0.942687\pi\)
0.530519 + 0.847673i \(0.321997\pi\)
\(740\) 4169.19 + 2508.52i 0.207112 + 0.124615i
\(741\) −1104.28 + 3977.24i −0.0547458 + 0.197176i
\(742\) −9630.02 34684.2i −0.476454 1.71603i
\(743\) −5216.17 + 3138.47i −0.257554 + 0.154965i −0.638475 0.769642i \(-0.720435\pi\)
0.380921 + 0.924608i \(0.375607\pi\)
\(744\) 299.865 5530.68i 0.0147763 0.272533i
\(745\) −15999.2 + 5390.74i −0.786797 + 0.265103i
\(746\) −16662.8 31429.5i −0.817788 1.54251i
\(747\) −5197.34 6118.79i −0.254566 0.299698i
\(748\) 26.9431 + 39.7381i 0.00131703 + 0.00194247i
\(749\) −1440.92 26576.2i −0.0702938 1.29649i
\(750\) −2467.37 6192.64i −0.120128 0.301498i
\(751\) −7537.02 3487.00i −0.366218 0.169430i 0.228145 0.973627i \(-0.426734\pi\)
−0.594363 + 0.804197i \(0.702596\pi\)
\(752\) 30555.9 6725.85i 1.48173 0.326152i
\(753\) 1267.33 2390.43i 0.0613333 0.115687i
\(754\) 777.530 4742.72i 0.0375543 0.229071i
\(755\) −8016.82 + 6094.23i −0.386440 + 0.293764i
\(756\) −768.991 + 355.773i −0.0369946 + 0.0171155i
\(757\) 7207.02 + 6826.85i 0.346029 + 0.327776i 0.840900 0.541191i \(-0.182026\pi\)
−0.494871 + 0.868966i \(0.664785\pi\)
\(758\) 1238.09 + 7552.00i 0.0593263 + 0.361874i
\(759\) 281.887 + 94.9789i 0.0134807 + 0.00454218i
\(760\) −5515.85 + 13843.8i −0.263265 + 0.660744i
\(761\) −11510.8 + 10903.6i −0.548313 + 0.519390i −0.910937 0.412546i \(-0.864640\pi\)
0.362624 + 0.931936i \(0.381881\pi\)
\(762\) 2581.32 + 1962.27i 0.122719 + 0.0932882i
\(763\) −28808.6 6341.25i −1.36689 0.300876i
\(764\) −328.278 + 386.478i −0.0155454 + 0.0183014i
\(765\) −3342.09 363.475i −0.157952 0.0171784i
\(766\) 8518.75 0.401821
\(767\) −6710.47 10459.4i −0.315908 0.492397i
\(768\) 4143.88 0.194700
\(769\) −13568.9 1475.71i −0.636290 0.0692007i −0.215712 0.976457i \(-0.569207\pi\)
−0.420578 + 0.907256i \(0.638173\pi\)
\(770\) 1851.38 2179.62i 0.0866484 0.102010i
\(771\) −15737.0