Properties

Label 177.4.e.b.4.2
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 4.2
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.38291 - 0.476671i) q^{2} +(1.94216 - 2.28649i) q^{3} +(11.1698 + 2.45865i) q^{4} +(-11.3321 - 8.61446i) q^{5} +(-9.60221 + 9.09570i) q^{6} +(-7.94992 + 19.9528i) q^{7} +(-14.3603 - 4.83855i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-4.38291 - 0.476671i) q^{2} +(1.94216 - 2.28649i) q^{3} +(11.1698 + 2.45865i) q^{4} +(-11.3321 - 8.61446i) q^{5} +(-9.60221 + 9.09570i) q^{6} +(-7.94992 + 19.9528i) q^{7} +(-14.3603 - 4.83855i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(45.5615 + 43.1581i) q^{10} +(27.1545 - 12.5630i) q^{11} +(27.3151 - 20.7644i) q^{12} +(-9.16870 + 55.9266i) q^{13} +(44.3547 - 83.6619i) q^{14} +(-41.7056 + 9.18010i) q^{15} +(-22.4070 - 10.3666i) q^{16} +(6.79469 + 17.0534i) q^{17} +(2.14817 + 39.6206i) q^{18} +(1.42321 + 2.09907i) q^{19} +(-105.397 - 124.083i) q^{20} +(30.1818 + 56.9289i) q^{21} +(-125.004 + 42.1188i) q^{22} +(0.0699143 - 1.28949i) q^{23} +(-38.9533 + 23.4374i) q^{24} +(20.7672 + 74.7965i) q^{25} +(66.8442 - 240.751i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(-137.855 + 203.322i) q^{28} +(83.2049 - 9.04907i) q^{29} +(187.168 - 20.3558i) q^{30} +(92.4324 - 136.328i) q^{31} +(197.142 + 118.616i) q^{32} +(24.0132 - 86.4877i) q^{33} +(-21.6517 - 77.9824i) q^{34} +(261.972 - 157.623i) q^{35} +(5.57275 - 102.783i) q^{36} +(415.049 - 139.846i) q^{37} +(-5.23722 - 9.87845i) q^{38} +(110.068 + 129.582i) q^{39} +(121.051 + 178.537i) q^{40} +(-14.3068 - 263.874i) q^{41} +(-105.148 - 263.901i) q^{42} +(366.147 + 169.398i) q^{43} +(334.197 - 73.5623i) q^{44} +(-60.0088 + 113.189i) q^{45} +(-0.921092 + 5.61841i) q^{46} +(-170.485 + 129.599i) q^{47} +(-67.2211 + 31.0998i) q^{48} +(-85.8961 - 81.3651i) q^{49} +(-55.3673 - 337.726i) q^{50} +(52.1887 + 17.5844i) q^{51} +(-239.916 + 602.144i) q^{52} +(389.456 - 368.912i) q^{53} +(94.7641 + 72.0378i) q^{54} +(-415.941 - 91.5556i) q^{55} +(210.706 - 248.062i) q^{56} +(7.56359 + 0.822590i) q^{57} -368.993 q^{58} +(-361.484 + 273.329i) q^{59} -488.412 q^{60} +(474.964 + 51.6555i) q^{61} +(-470.106 + 553.452i) q^{62} +(188.785 + 41.5547i) q^{63} +(-650.278 - 494.328i) q^{64} +(585.678 - 554.784i) q^{65} +(-146.474 + 367.622i) q^{66} +(38.2631 + 12.8923i) q^{67} +(33.9667 + 207.188i) q^{68} +(-2.81263 - 2.66426i) q^{69} +(-1223.33 + 565.975i) q^{70} +(-371.141 + 282.134i) q^{71} +(-22.0641 + 134.585i) q^{72} +(-60.7073 + 114.506i) q^{73} +(-1885.78 + 415.092i) q^{74} +(211.354 + 97.7829i) q^{75} +(10.7360 + 26.9453i) q^{76} +(34.7910 + 641.683i) q^{77} +(-420.652 - 620.415i) q^{78} +(665.528 + 783.520i) q^{79} +(164.617 + 310.500i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-63.0753 + 1163.36i) q^{82} +(-114.811 + 69.0795i) q^{83} +(197.155 + 710.088i) q^{84} +(69.9074 - 251.784i) q^{85} +(-1524.04 - 916.986i) q^{86} +(140.906 - 207.822i) q^{87} +(-450.733 + 49.0202i) q^{88} +(342.833 - 37.2853i) q^{89} +(316.967 - 467.491i) q^{90} +(-1043.00 - 627.553i) q^{91} +(3.95134 - 14.2314i) q^{92} +(-132.193 - 476.115i) q^{93} +(808.996 - 486.757i) q^{94} +(1.95442 - 36.0471i) q^{95} +(654.096 - 220.390i) q^{96} +(-319.715 - 603.046i) q^{97} +(337.691 + 397.561i) q^{98} +(-151.115 - 222.879i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.38291 0.476671i −1.54959 0.168528i −0.707053 0.707161i \(-0.749976\pi\)
−0.842541 + 0.538632i \(0.818941\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 11.1698 + 2.45865i 1.39622 + 0.307331i
\(5\) −11.3321 8.61446i −1.01358 0.770501i −0.0400783 0.999197i \(-0.512761\pi\)
−0.973498 + 0.228696i \(0.926554\pi\)
\(6\) −9.60221 + 9.09570i −0.653348 + 0.618884i
\(7\) −7.94992 + 19.9528i −0.429255 + 1.07735i 0.542226 + 0.840233i \(0.317582\pi\)
−0.971481 + 0.237117i \(0.923798\pi\)
\(8\) −14.3603 4.83855i −0.634642 0.213836i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 45.5615 + 43.1581i 1.44078 + 1.36478i
\(11\) 27.1545 12.5630i 0.744308 0.344353i −0.0108109 0.999942i \(-0.503441\pi\)
0.755119 + 0.655588i \(0.227579\pi\)
\(12\) 27.3151 20.7644i 0.657099 0.499514i
\(13\) −9.16870 + 55.9266i −0.195611 + 1.19317i 0.688268 + 0.725457i \(0.258371\pi\)
−0.883879 + 0.467716i \(0.845077\pi\)
\(14\) 44.3547 83.6619i 0.846735 1.59711i
\(15\) −41.7056 + 9.18010i −0.717890 + 0.158019i
\(16\) −22.4070 10.3666i −0.350110 0.161978i
\(17\) 6.79469 + 17.0534i 0.0969385 + 0.243297i 0.969447 0.245302i \(-0.0788872\pi\)
−0.872508 + 0.488600i \(0.837508\pi\)
\(18\) 2.14817 + 39.6206i 0.0281293 + 0.518815i
\(19\) 1.42321 + 2.09907i 0.0171845 + 0.0253453i 0.836184 0.548449i \(-0.184781\pi\)
−0.819000 + 0.573794i \(0.805471\pi\)
\(20\) −105.397 124.083i −1.17838 1.38729i
\(21\) 30.1818 + 56.9289i 0.313629 + 0.591566i
\(22\) −125.004 + 42.1188i −1.21141 + 0.408171i
\(23\) 0.0699143 1.28949i 0.000633832 0.0116904i −0.998199 0.0599832i \(-0.980895\pi\)
0.998833 + 0.0482928i \(0.0153781\pi\)
\(24\) −38.9533 + 23.4374i −0.331304 + 0.199339i
\(25\) 20.7672 + 74.7965i 0.166137 + 0.598372i
\(26\) 66.8442 240.751i 0.504201 1.81597i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) −137.855 + 203.322i −0.930437 + 1.37229i
\(29\) 83.2049 9.04907i 0.532785 0.0579438i 0.162227 0.986753i \(-0.448132\pi\)
0.370557 + 0.928810i \(0.379167\pi\)
\(30\) 187.168 20.3558i 1.13907 0.123881i
\(31\) 92.4324 136.328i 0.535527 0.789844i −0.459633 0.888109i \(-0.652019\pi\)
0.995160 + 0.0982653i \(0.0313294\pi\)
\(32\) 197.142 + 118.616i 1.08907 + 0.655269i
\(33\) 24.0132 86.4877i 0.126672 0.456230i
\(34\) −21.6517 77.9824i −0.109213 0.393349i
\(35\) 261.972 157.623i 1.26518 0.761234i
\(36\) 5.57275 102.783i 0.0257998 0.475849i
\(37\) 415.049 139.846i 1.84415 0.621367i 0.848391 0.529370i \(-0.177572\pi\)
0.995759 0.0919968i \(-0.0293250\pi\)
\(38\) −5.23722 9.87845i −0.0223576 0.0421709i
\(39\) 110.068 + 129.582i 0.451924 + 0.532046i
\(40\) 121.051 + 178.537i 0.478497 + 0.705730i
\(41\) −14.3068 263.874i −0.0544963 1.00513i −0.890092 0.455781i \(-0.849360\pi\)
0.835596 0.549345i \(-0.185123\pi\)
\(42\) −105.148 263.901i −0.386301 0.969543i
\(43\) 366.147 + 169.398i 1.29853 + 0.600765i 0.942655 0.333768i \(-0.108320\pi\)
0.355877 + 0.934533i \(0.384182\pi\)
\(44\) 334.197 73.5623i 1.14505 0.252044i
\(45\) −60.0088 + 113.189i −0.198791 + 0.374959i
\(46\) −0.921092 + 5.61841i −0.00295234 + 0.0180085i
\(47\) −170.485 + 129.599i −0.529101 + 0.402212i −0.835333 0.549745i \(-0.814725\pi\)
0.306231 + 0.951957i \(0.400932\pi\)
\(48\) −67.2211 + 31.0998i −0.202136 + 0.0935180i
\(49\) −85.8961 81.3651i −0.250426 0.237216i
\(50\) −55.3673 337.726i −0.156602 0.955233i
\(51\) 52.1887 + 17.5844i 0.143292 + 0.0482806i
\(52\) −239.916 + 602.144i −0.639815 + 1.60581i
\(53\) 389.456 368.912i 1.00936 0.956112i 0.0103167 0.999947i \(-0.496716\pi\)
0.999039 + 0.0438345i \(0.0139574\pi\)
\(54\) 94.7641 + 72.0378i 0.238810 + 0.181539i
\(55\) −415.941 91.5556i −1.01974 0.224461i
\(56\) 210.706 248.062i 0.502799 0.591941i
\(57\) 7.56359 + 0.822590i 0.0175758 + 0.00191149i
\(58\) −368.993 −0.835365
\(59\) −361.484 + 273.329i −0.797647 + 0.603125i
\(60\) −488.412 −1.05090
\(61\) 474.964 + 51.6555i 0.996933 + 0.108423i 0.592013 0.805929i \(-0.298334\pi\)
0.404921 + 0.914352i \(0.367299\pi\)
\(62\) −470.106 + 553.452i −0.962961 + 1.13369i
\(63\) 188.785 + 41.5547i 0.377534 + 0.0831016i
\(64\) −650.278 494.328i −1.27007 0.965485i
\(65\) 585.678 554.784i 1.11761 1.05865i
\(66\) −146.474 + 367.622i −0.273177 + 0.685623i
\(67\) 38.2631 + 12.8923i 0.0697699 + 0.0235082i 0.353970 0.935257i \(-0.384831\pi\)
−0.284200 + 0.958765i \(0.591728\pi\)
\(68\) 33.9667 + 207.188i 0.0605746 + 0.369489i
\(69\) −2.81263 2.66426i −0.00490725 0.00464840i
\(70\) −1223.33 + 565.975i −2.08881 + 0.966385i
\(71\) −371.141 + 282.134i −0.620372 + 0.471594i −0.867533 0.497380i \(-0.834295\pi\)
0.247161 + 0.968974i \(0.420502\pi\)
\(72\) −22.0641 + 134.585i −0.0361150 + 0.220292i
\(73\) −60.7073 + 114.506i −0.0973322 + 0.183588i −0.927397 0.374079i \(-0.877959\pi\)
0.830064 + 0.557667i \(0.188304\pi\)
\(74\) −1885.78 + 415.092i −2.96240 + 0.652074i
\(75\) 211.354 + 97.7829i 0.325401 + 0.150547i
\(76\) 10.7360 + 26.9453i 0.0162040 + 0.0406689i
\(77\) 34.7910 + 641.683i 0.0514910 + 0.949695i
\(78\) −420.652 620.415i −0.610634 0.900618i
\(79\) 665.528 + 783.520i 0.947819 + 1.11586i 0.993145 + 0.116887i \(0.0372915\pi\)
−0.0453260 + 0.998972i \(0.514433\pi\)
\(80\) 164.617 + 310.500i 0.230059 + 0.433937i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −63.0753 + 1163.36i −0.0849451 + 1.56672i
\(83\) −114.811 + 69.0795i −0.151833 + 0.0913550i −0.589443 0.807810i \(-0.700653\pi\)
0.437610 + 0.899165i \(0.355825\pi\)
\(84\) 197.155 + 710.088i 0.256088 + 0.922344i
\(85\) 69.9074 251.784i 0.0892062 0.321292i
\(86\) −1524.04 916.986i −1.91095 1.14978i
\(87\) 140.906 207.822i 0.173641 0.256101i
\(88\) −450.733 + 49.0202i −0.546004 + 0.0593815i
\(89\) 342.833 37.2853i 0.408317 0.0444071i 0.0983437 0.995153i \(-0.468646\pi\)
0.309973 + 0.950745i \(0.399680\pi\)
\(90\) 316.967 467.491i 0.371236 0.547532i
\(91\) −1043.00 627.553i −1.20150 0.722917i
\(92\) 3.95134 14.2314i 0.00447778 0.0161275i
\(93\) −132.193 476.115i −0.147395 0.530869i
\(94\) 808.996 486.757i 0.887676 0.534097i
\(95\) 1.95442 36.0471i 0.00211072 0.0389300i
\(96\) 654.096 220.390i 0.695400 0.234307i
\(97\) −319.715 603.046i −0.334661 0.631238i 0.657884 0.753120i \(-0.271452\pi\)
−0.992545 + 0.121882i \(0.961107\pi\)
\(98\) 337.691 + 397.561i 0.348081 + 0.409793i
\(99\) −151.115 222.879i −0.153411 0.226264i
\(100\) 48.0656 + 886.518i 0.0480656 + 0.886518i
\(101\) −299.210 750.960i −0.294777 0.739835i −0.999538 0.0303902i \(-0.990325\pi\)
0.704761 0.709445i \(-0.251054\pi\)
\(102\) −220.357 101.948i −0.213907 0.0989641i
\(103\) 690.886 152.075i 0.660922 0.145480i 0.128171 0.991752i \(-0.459089\pi\)
0.532751 + 0.846272i \(0.321158\pi\)
\(104\) 402.269 758.760i 0.379286 0.715409i
\(105\) 148.388 905.125i 0.137916 0.841249i
\(106\) −1882.80 + 1431.27i −1.72522 + 1.31148i
\(107\) 1400.74 648.052i 1.26556 0.585510i 0.331779 0.943357i \(-0.392351\pi\)
0.933780 + 0.357847i \(0.116489\pi\)
\(108\) −224.190 212.364i −0.199747 0.189210i
\(109\) 238.996 + 1457.81i 0.210015 + 1.28103i 0.855717 + 0.517444i \(0.173117\pi\)
−0.645702 + 0.763590i \(0.723435\pi\)
\(110\) 1779.39 + 599.548i 1.54235 + 0.519678i
\(111\) 486.334 1220.61i 0.415863 1.04374i
\(112\) 384.976 364.669i 0.324793 0.307661i
\(113\) −852.595 648.126i −0.709782 0.539562i 0.186823 0.982394i \(-0.440181\pi\)
−0.896605 + 0.442831i \(0.853974\pi\)
\(114\) −32.7584 7.21068i −0.0269132 0.00592405i
\(115\) −11.9006 + 14.0104i −0.00964986 + 0.0113607i
\(116\) 951.626 + 103.496i 0.761692 + 0.0828390i
\(117\) 510.059 0.403034
\(118\) 1714.64 1025.67i 1.33767 0.800172i
\(119\) −394.280 −0.303728
\(120\) 643.324 + 69.9657i 0.489393 + 0.0532247i
\(121\) −282.134 + 332.154i −0.211972 + 0.249552i
\(122\) −2057.10 452.803i −1.52657 0.336023i
\(123\) −631.130 479.772i −0.462659 0.351704i
\(124\) 1367.63 1295.49i 0.990457 0.938210i
\(125\) −249.604 + 626.459i −0.178602 + 0.448258i
\(126\) −807.620 272.119i −0.571020 0.192399i
\(127\) 414.050 + 2525.60i 0.289299 + 1.76465i 0.586612 + 0.809868i \(0.300461\pi\)
−0.297312 + 0.954780i \(0.596090\pi\)
\(128\) 1278.21 + 1210.78i 0.882647 + 0.836087i
\(129\) 1098.44 508.193i 0.749708 0.346852i
\(130\) −2831.43 + 2152.39i −1.91025 + 1.45213i
\(131\) −316.128 + 1928.30i −0.210842 + 1.28608i 0.643130 + 0.765757i \(0.277635\pi\)
−0.853972 + 0.520319i \(0.825813\pi\)
\(132\) 480.864 907.006i 0.317075 0.598066i
\(133\) −53.1967 + 11.7095i −0.0346822 + 0.00763414i
\(134\) −161.558 74.7449i −0.104153 0.0481864i
\(135\) 142.258 + 357.039i 0.0906932 + 0.227623i
\(136\) −15.0602 277.768i −0.00949557 0.175136i
\(137\) 1348.51 + 1988.90i 0.840957 + 1.24032i 0.968631 + 0.248502i \(0.0799383\pi\)
−0.127675 + 0.991816i \(0.540751\pi\)
\(138\) 11.0575 + 13.0179i 0.00682086 + 0.00803014i
\(139\) −604.967 1141.09i −0.369155 0.696301i 0.627447 0.778659i \(-0.284100\pi\)
−0.996603 + 0.0823581i \(0.973755\pi\)
\(140\) 3313.70 1116.52i 2.00042 0.674020i
\(141\) −34.7818 + 641.513i −0.0207742 + 0.383157i
\(142\) 1761.17 1059.66i 1.04080 0.626229i
\(143\) 453.635 + 1633.84i 0.265279 + 0.955447i
\(144\) −59.4448 + 214.101i −0.0344009 + 0.123901i
\(145\) −1020.84 614.220i −0.584664 0.351780i
\(146\) 320.657 472.933i 0.181765 0.268084i
\(147\) −352.864 + 38.3763i −0.197985 + 0.0215321i
\(148\) 4979.82 541.588i 2.76580 0.300799i
\(149\) −655.145 + 966.267i −0.360212 + 0.531273i −0.964011 0.265864i \(-0.914343\pi\)
0.603799 + 0.797137i \(0.293653\pi\)
\(150\) −879.737 529.320i −0.478868 0.288126i
\(151\) 504.455 1816.88i 0.271868 0.979178i −0.693964 0.720009i \(-0.744138\pi\)
0.965832 0.259169i \(-0.0834487\pi\)
\(152\) −10.2812 37.0295i −0.00548629 0.0197598i
\(153\) 141.565 85.1770i 0.0748031 0.0450076i
\(154\) 153.385 2829.02i 0.0802606 1.48032i
\(155\) −2221.84 + 748.626i −1.15137 + 0.387943i
\(156\) 910.838 + 1718.02i 0.467471 + 0.881743i
\(157\) 884.132 + 1040.88i 0.449436 + 0.529116i 0.939490 0.342575i \(-0.111299\pi\)
−0.490055 + 0.871692i \(0.663023\pi\)
\(158\) −2543.47 3751.34i −1.28068 1.88886i
\(159\) −87.1274 1606.97i −0.0434569 0.801516i
\(160\) −1212.22 3042.45i −0.598966 1.50329i
\(161\) 25.1732 + 11.6464i 0.0123225 + 0.00570100i
\(162\) 348.760 76.7680i 0.169143 0.0372312i
\(163\) 1612.22 3040.98i 0.774719 1.46127i −0.109393 0.993999i \(-0.534891\pi\)
0.884112 0.467276i \(-0.154765\pi\)
\(164\) 488.969 2982.58i 0.232817 1.42012i
\(165\) −1017.17 + 773.229i −0.479916 + 0.364823i
\(166\) 536.135 248.043i 0.250676 0.115975i
\(167\) 1343.08 + 1272.23i 0.622338 + 0.589510i 0.932498 0.361175i \(-0.117624\pi\)
−0.310160 + 0.950684i \(0.600383\pi\)
\(168\) −157.966 963.551i −0.0725438 0.442498i
\(169\) −961.727 324.043i −0.437745 0.147494i
\(170\) −426.416 + 1070.22i −0.192380 + 0.482838i
\(171\) 16.5705 15.6964i 0.00741041 0.00701951i
\(172\) 3673.28 + 2792.35i 1.62840 + 1.23788i
\(173\) 3143.80 + 692.003i 1.38161 + 0.304116i 0.842762 0.538286i \(-0.180928\pi\)
0.538850 + 0.842402i \(0.318859\pi\)
\(174\) −716.643 + 843.698i −0.312233 + 0.367589i
\(175\) −1657.50 180.264i −0.715971 0.0778665i
\(176\) −738.687 −0.316367
\(177\) −77.0964 + 1357.38i −0.0327397 + 0.576421i
\(178\) −1520.38 −0.640209
\(179\) −1075.15 116.929i −0.448940 0.0488252i −0.119143 0.992877i \(-0.538015\pi\)
−0.329797 + 0.944052i \(0.606980\pi\)
\(180\) −948.574 + 1116.75i −0.392792 + 0.462430i
\(181\) −2431.24 535.156i −0.998411 0.219767i −0.314441 0.949277i \(-0.601817\pi\)
−0.683970 + 0.729510i \(0.739748\pi\)
\(182\) 4272.25 + 3247.68i 1.74000 + 1.32271i
\(183\) 1040.57 985.676i 0.420332 0.398160i
\(184\) −7.24327 + 18.1792i −0.00290207 + 0.00728365i
\(185\) −5908.08 1990.66i −2.34795 0.791117i
\(186\) 352.439 + 2149.78i 0.138936 + 0.847472i
\(187\) 398.748 + 377.714i 0.155932 + 0.147707i
\(188\) −2222.91 + 1028.43i −0.862353 + 0.398967i
\(189\) 461.664 350.948i 0.177678 0.135067i
\(190\) −25.7486 + 157.060i −0.00983159 + 0.0599700i
\(191\) −180.431 + 340.328i −0.0683534 + 0.128928i −0.915334 0.402696i \(-0.868073\pi\)
0.846980 + 0.531624i \(0.178418\pi\)
\(192\) −2393.22 + 526.787i −0.899561 + 0.198008i
\(193\) −3978.96 1840.86i −1.48400 0.686571i −0.500211 0.865903i \(-0.666744\pi\)
−0.983789 + 0.179332i \(0.942606\pi\)
\(194\) 1113.83 + 2795.50i 0.412207 + 1.03456i
\(195\) −131.026 2416.62i −0.0481176 0.887477i
\(196\) −759.390 1120.02i −0.276746 0.408169i
\(197\) 2818.95 + 3318.72i 1.01950 + 1.20025i 0.979582 + 0.201047i \(0.0644344\pi\)
0.0399197 + 0.999203i \(0.487290\pi\)
\(198\) 556.086 + 1048.89i 0.199593 + 0.376472i
\(199\) 4371.75 1473.01i 1.55731 0.524720i 0.596665 0.802491i \(-0.296492\pi\)
0.960647 + 0.277771i \(0.0895957\pi\)
\(200\) 63.6840 1174.58i 0.0225157 0.415278i
\(201\) 103.791 62.4491i 0.0364222 0.0219145i
\(202\) 953.451 + 3434.02i 0.332102 + 1.19612i
\(203\) −480.918 + 1732.11i −0.166275 + 0.598868i
\(204\) 539.701 + 324.727i 0.185229 + 0.111448i
\(205\) −2111.00 + 3113.50i −0.719214 + 1.06076i
\(206\) −3100.58 + 337.209i −1.04868 + 0.114051i
\(207\) −11.5544 + 1.25661i −0.00387963 + 0.000421935i
\(208\) 785.212 1158.10i 0.261753 0.386057i
\(209\) 65.0170 + 39.1195i 0.0215183 + 0.0129471i
\(210\) −1081.82 + 3896.35i −0.355488 + 1.28035i
\(211\) −1093.35 3937.88i −0.356726 1.28481i −0.896516 0.443011i \(-0.853910\pi\)
0.539791 0.841799i \(-0.318503\pi\)
\(212\) 5257.15 3163.12i 1.70312 1.02474i
\(213\) −75.7192 + 1396.56i −0.0243577 + 0.449252i
\(214\) −6448.24 + 2172.66i −2.05978 + 0.694020i
\(215\) −2689.95 5073.79i −0.853271 1.60944i
\(216\) 264.875 + 311.835i 0.0834374 + 0.0982301i
\(217\) 1985.29 + 2928.08i 0.621060 + 0.915994i
\(218\) −352.602 6503.37i −0.109547 2.02048i
\(219\) 143.913 + 361.195i 0.0444053 + 0.111449i
\(220\) −4420.86 2045.31i −1.35479 0.626794i
\(221\) −1016.04 + 223.647i −0.309258 + 0.0680729i
\(222\) −2713.39 + 5117.99i −0.820318 + 1.54728i
\(223\) −100.620 + 613.753i −0.0302152 + 0.184305i −0.997622 0.0689227i \(-0.978044\pi\)
0.967407 + 0.253227i \(0.0814921\pi\)
\(224\) −3933.99 + 2990.54i −1.17344 + 0.892026i
\(225\) 634.063 293.349i 0.187870 0.0869181i
\(226\) 3427.91 + 3247.08i 1.00894 + 0.955721i
\(227\) −508.948 3104.45i −0.148811 0.907707i −0.950672 0.310197i \(-0.899605\pi\)
0.801861 0.597510i \(-0.203843\pi\)
\(228\) 82.4609 + 27.7843i 0.0239522 + 0.00807045i
\(229\) 322.815 810.204i 0.0931537 0.233798i −0.875015 0.484095i \(-0.839149\pi\)
0.968169 + 0.250297i \(0.0805282\pi\)
\(230\) 58.8375 55.7339i 0.0168680 0.0159782i
\(231\) 1534.77 + 1166.70i 0.437144 + 0.332308i
\(232\) −1238.63 272.643i −0.350518 0.0771548i
\(233\) 1980.20 2331.27i 0.556769 0.655479i −0.409713 0.912215i \(-0.634371\pi\)
0.966482 + 0.256735i \(0.0826469\pi\)
\(234\) −2235.54 243.130i −0.624539 0.0679227i
\(235\) 3048.38 0.846189
\(236\) −4709.70 + 2164.25i −1.29905 + 0.596953i
\(237\) 3084.07 0.845282
\(238\) 1728.10 + 187.942i 0.470655 + 0.0511868i
\(239\) −2813.21 + 3311.97i −0.761387 + 0.896374i −0.997151 0.0754368i \(-0.975965\pi\)
0.235764 + 0.971810i \(0.424241\pi\)
\(240\) 1029.67 + 226.646i 0.276936 + 0.0609582i
\(241\) 850.754 + 646.727i 0.227394 + 0.172860i 0.712667 0.701502i \(-0.247487\pi\)
−0.485274 + 0.874362i \(0.661280\pi\)
\(242\) 1394.90 1321.32i 0.370527 0.350981i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) 5178.23 + 1744.75i 1.35862 + 0.457771i
\(245\) 272.469 + 1661.99i 0.0710507 + 0.433390i
\(246\) 2537.49 + 2403.64i 0.657661 + 0.622970i
\(247\) −130.443 + 60.3493i −0.0336028 + 0.0155463i
\(248\) −1986.98 + 1510.47i −0.508765 + 0.386753i
\(249\) −65.0320 + 396.677i −0.0165511 + 0.100957i
\(250\) 1392.61 2626.74i 0.352305 0.664518i
\(251\) 5282.99 1162.87i 1.32852 0.292430i 0.506676 0.862137i \(-0.330874\pi\)
0.821848 + 0.569706i \(0.192943\pi\)
\(252\) 2006.51 + 928.311i 0.501581 + 0.232056i
\(253\) −14.3014 35.8939i −0.00355385 0.00891948i
\(254\) −610.870 11266.8i −0.150903 2.78324i
\(255\) −439.929 648.847i −0.108037 0.159343i
\(256\) −794.665 935.552i −0.194010 0.228406i
\(257\) −903.174 1703.57i −0.219216 0.413485i 0.749375 0.662146i \(-0.230354\pi\)
−0.968590 + 0.248661i \(0.920009\pi\)
\(258\) −5056.61 + 1703.77i −1.22020 + 0.411132i
\(259\) −509.281 + 9393.14i −0.122182 + 2.25352i
\(260\) 7905.90 4756.82i 1.88578 1.13464i
\(261\) −201.518 725.803i −0.0477918 0.172131i
\(262\) 2304.72 8300.87i 0.543459 1.95736i
\(263\) 2146.27 + 1291.37i 0.503211 + 0.302772i 0.744432 0.667698i \(-0.232720\pi\)
−0.241221 + 0.970470i \(0.577548\pi\)
\(264\) −763.311 + 1125.80i −0.177949 + 0.262455i
\(265\) −7591.34 + 825.608i −1.75974 + 0.191384i
\(266\) 238.738 25.9643i 0.0550300 0.00598487i
\(267\) 580.583 856.296i 0.133075 0.196271i
\(268\) 395.692 + 238.080i 0.0901892 + 0.0542651i
\(269\) −302.981 + 1091.24i −0.0686731 + 0.247338i −0.989917 0.141647i \(-0.954760\pi\)
0.921244 + 0.388985i \(0.127174\pi\)
\(270\) −453.312 1632.68i −0.102177 0.368007i
\(271\) 6414.27 3859.34i 1.43778 0.865085i 0.438352 0.898803i \(-0.355562\pi\)
0.999431 + 0.0337180i \(0.0107348\pi\)
\(272\) 24.5367 452.554i 0.00546970 0.100883i
\(273\) −3460.57 + 1166.00i −0.767190 + 0.258497i
\(274\) −4962.35 9359.99i −1.09411 2.06371i
\(275\) 1503.59 + 1770.16i 0.329709 + 0.388163i
\(276\) −24.8658 36.6744i −0.00542300 0.00799833i
\(277\) 191.373 + 3529.67i 0.0415108 + 0.765622i 0.942994 + 0.332809i \(0.107996\pi\)
−0.901484 + 0.432813i \(0.857521\pi\)
\(278\) 2107.59 + 5289.66i 0.454694 + 1.14120i
\(279\) −1345.37 622.434i −0.288692 0.133563i
\(280\) −4524.66 + 995.954i −0.965715 + 0.212570i
\(281\) 3524.93 6648.73i 0.748327 1.41149i −0.157358 0.987542i \(-0.550298\pi\)
0.905685 0.423952i \(-0.139358\pi\)
\(282\) 458.236 2795.12i 0.0967644 0.590237i
\(283\) −1911.30 + 1452.93i −0.401467 + 0.305187i −0.786354 0.617777i \(-0.788034\pi\)
0.384887 + 0.922964i \(0.374240\pi\)
\(284\) −4839.23 + 2238.86i −1.01111 + 0.467789i
\(285\) −78.6254 74.4779i −0.0163416 0.0154796i
\(286\) −1209.44 7377.23i −0.250054 1.52526i
\(287\) 5378.75 + 1812.31i 1.10626 + 0.372744i
\(288\) 766.438 1923.61i 0.156815 0.393576i
\(289\) 3322.17 3146.92i 0.676199 0.640530i
\(290\) 4181.48 + 3178.68i 0.846706 + 0.643649i
\(291\) −1999.79 440.188i −0.402852 0.0886745i
\(292\) −959.616 + 1129.75i −0.192319 + 0.226416i
\(293\) −5485.05 596.535i −1.09365 0.118942i −0.456533 0.889707i \(-0.650909\pi\)
−0.637120 + 0.770765i \(0.719874\pi\)
\(294\) 1564.87 0.310425
\(295\) 6450.96 + 16.5905i 1.27318 + 0.00327436i
\(296\) −6636.87 −1.30324
\(297\) −803.099 87.3423i −0.156904 0.0170644i
\(298\) 3332.04 3922.78i 0.647717 0.762551i
\(299\) 71.4760 + 15.7331i 0.0138246 + 0.00304303i
\(300\) 2120.36 + 1611.86i 0.408064 + 0.310202i
\(301\) −6290.79 + 5958.95i −1.20464 + 1.14109i
\(302\) −3077.04 + 7722.79i −0.586304 + 1.47151i
\(303\) −2298.17 774.345i −0.435731 0.146815i
\(304\) −10.1296 61.7877i −0.00191109 0.0116571i
\(305\) −4937.37 4676.93i −0.926928 0.878033i
\(306\) −661.070 + 305.844i −0.123500 + 0.0571370i
\(307\) −7852.07 + 5968.99i −1.45974 + 1.10967i −0.488222 + 0.872719i \(0.662354\pi\)
−0.971522 + 0.236949i \(0.923853\pi\)
\(308\) −1189.06 + 7252.97i −0.219978 + 1.34181i
\(309\) 994.091 1875.06i 0.183016 0.345204i
\(310\) 10095.0 2222.08i 1.84954 0.407114i
\(311\) 1667.87 + 771.640i 0.304104 + 0.140693i 0.566006 0.824401i \(-0.308488\pi\)
−0.261902 + 0.965094i \(0.584350\pi\)
\(312\) −953.623 2393.41i −0.173039 0.434296i
\(313\) 355.756 + 6561.54i 0.0642445 + 1.18492i 0.835901 + 0.548881i \(0.184946\pi\)
−0.771656 + 0.636040i \(0.780571\pi\)
\(314\) −3378.92 4983.53i −0.607271 0.895658i
\(315\) −1781.36 2097.18i −0.318630 0.375120i
\(316\) 5507.38 + 10388.0i 0.980425 + 1.84928i
\(317\) −5604.06 + 1888.23i −0.992920 + 0.334554i −0.768438 0.639925i \(-0.778966\pi\)
−0.224482 + 0.974478i \(0.572069\pi\)
\(318\) −384.124 + 7084.74i −0.0677377 + 1.24935i
\(319\) 2145.70 1291.03i 0.376603 0.226594i
\(320\) 3110.66 + 11203.6i 0.543410 + 1.95719i
\(321\) 1238.70 4461.40i 0.215382 0.775735i
\(322\) −104.780 63.0443i −0.0181341 0.0109109i
\(323\) −26.1260 + 38.5330i −0.00450059 + 0.00663788i
\(324\) −920.978 + 100.162i −0.157918 + 0.0171746i
\(325\) −4373.52 + 475.649i −0.746460 + 0.0811824i
\(326\) −8515.78 + 12559.8i −1.44677 + 2.13382i
\(327\) 3797.43 + 2284.84i 0.642196 + 0.386397i
\(328\) −1071.32 + 3858.53i −0.180346 + 0.649548i
\(329\) −1230.52 4431.95i −0.206204 0.742679i
\(330\) 4826.72 2904.14i 0.805159 0.484448i
\(331\) 14.9627 275.971i 0.00248467 0.0458270i −0.997028 0.0770382i \(-0.975454\pi\)
0.999513 + 0.0312111i \(0.00993643\pi\)
\(332\) −1452.25 + 489.321i −0.240069 + 0.0808885i
\(333\) −1846.36 3482.61i −0.303844 0.573110i
\(334\) −5280.15 6216.28i −0.865022 1.01838i
\(335\) −322.542 475.714i −0.0526040 0.0775851i
\(336\) −86.1253 1588.49i −0.0139837 0.257914i
\(337\) 1717.72 + 4311.15i 0.277656 + 0.696865i 0.999986 + 0.00531569i \(0.00169205\pi\)
−0.722330 + 0.691549i \(0.756929\pi\)
\(338\) 4060.70 + 1878.68i 0.653471 + 0.302328i
\(339\) −3137.80 + 690.683i −0.502720 + 0.110657i
\(340\) 1399.90 2640.48i 0.223294 0.421178i
\(341\) 797.270 4863.13i 0.126612 0.772297i
\(342\) −80.1092 + 60.8975i −0.0126661 + 0.00962853i
\(343\) −4379.81 + 2026.32i −0.689469 + 0.318982i
\(344\) −4438.34 4204.22i −0.695637 0.658943i
\(345\) 8.92187 + 54.4210i 0.00139228 + 0.00849254i
\(346\) −13449.2 4531.55i −2.08969 0.704097i
\(347\) 1291.98 3242.62i 0.199876 0.501651i −0.794536 0.607216i \(-0.792286\pi\)
0.994412 + 0.105566i \(0.0336654\pi\)
\(348\) 2084.85 1974.88i 0.321149 0.304208i
\(349\) −9058.06 6885.76i −1.38930 1.05612i −0.990266 0.139186i \(-0.955551\pi\)
−0.399037 0.916935i \(-0.630656\pi\)
\(350\) 7178.74 + 1580.16i 1.09634 + 0.241323i
\(351\) 990.615 1166.24i 0.150641 0.177349i
\(352\) 6843.46 + 744.272i 1.03624 + 0.112698i
\(353\) −9112.58 −1.37398 −0.686988 0.726669i \(-0.741068\pi\)
−0.686988 + 0.726669i \(0.741068\pi\)
\(354\) 984.927 5912.51i 0.147877 0.887701i
\(355\) 6636.26 0.992157
\(356\) 3921.03 + 426.437i 0.583747 + 0.0634863i
\(357\) −765.754 + 901.516i −0.113524 + 0.133651i
\(358\) 4656.54 + 1024.98i 0.687447 + 0.151318i
\(359\) 4177.34 + 3175.53i 0.614126 + 0.466847i 0.865408 0.501067i \(-0.167059\pi\)
−0.251282 + 0.967914i \(0.580852\pi\)
\(360\) 1409.41 1335.07i 0.206340 0.195456i
\(361\) 2536.40 6365.88i 0.369791 0.928106i
\(362\) 10400.8 + 3504.44i 1.51009 + 0.508810i
\(363\) 211.516 + 1290.19i 0.0305833 + 0.186550i
\(364\) −10107.1 9573.99i −1.45538 1.37861i
\(365\) 1674.35 774.637i 0.240108 0.111086i
\(366\) −5030.55 + 3824.13i −0.718446 + 0.546148i
\(367\) 1071.44 6535.52i 0.152395 0.929568i −0.794321 0.607498i \(-0.792173\pi\)
0.946716 0.322070i \(-0.104379\pi\)
\(368\) −14.9342 + 28.1689i −0.00211549 + 0.00399024i
\(369\) −2322.75 + 511.275i −0.327689 + 0.0721299i
\(370\) 24945.7 + 11541.1i 3.50504 + 1.62161i
\(371\) 4264.68 + 10703.5i 0.596796 + 1.49784i
\(372\) −305.960 5643.10i −0.0426433 0.786509i
\(373\) −1627.97 2401.08i −0.225987 0.333306i 0.697744 0.716347i \(-0.254187\pi\)
−0.923731 + 0.383041i \(0.874877\pi\)
\(374\) −1567.63 1845.56i −0.216739 0.255165i
\(375\) 947.619 + 1787.40i 0.130493 + 0.246136i
\(376\) 3075.28 1036.18i 0.421797 0.142120i
\(377\) −256.797 + 4736.33i −0.0350814 + 0.647039i
\(378\) −2190.72 + 1318.11i −0.298091 + 0.179356i
\(379\) 2163.92 + 7793.73i 0.293280 + 1.05630i 0.952547 + 0.304390i \(0.0984527\pi\)
−0.659268 + 0.751908i \(0.729134\pi\)
\(380\) 110.457 397.832i 0.0149114 0.0537062i
\(381\) 6578.89 + 3958.39i 0.884637 + 0.532269i
\(382\) 953.036 1405.62i 0.127648 0.188267i
\(383\) 5612.05 610.347i 0.748727 0.0814289i 0.274203 0.961672i \(-0.411586\pi\)
0.474523 + 0.880243i \(0.342620\pi\)
\(384\) 5250.93 571.073i 0.697813 0.0758917i
\(385\) 5133.49 7571.33i 0.679550 1.00226i
\(386\) 16562.0 + 9965.00i 2.18389 + 1.31400i
\(387\) 971.370 3498.56i 0.127591 0.459539i
\(388\) −2088.46 7521.94i −0.273261 0.984198i
\(389\) 2424.34 1458.68i 0.315987 0.190123i −0.348720 0.937227i \(-0.613384\pi\)
0.664708 + 0.747103i \(0.268556\pi\)
\(390\) −577.660 + 10654.3i −0.0750024 + 1.38334i
\(391\) 22.4653 7.56944i 0.00290567 0.000979036i
\(392\) 839.805 + 1584.04i 0.108206 + 0.204097i
\(393\) 3795.05 + 4467.88i 0.487112 + 0.573473i
\(394\) −10773.3 15889.4i −1.37754 2.03171i
\(395\) −792.245 14612.1i −0.100917 1.86130i
\(396\) −1139.94 2861.04i −0.144657 0.363062i
\(397\) −2346.02 1085.38i −0.296582 0.137214i 0.265955 0.963985i \(-0.414313\pi\)
−0.562537 + 0.826772i \(0.690175\pi\)
\(398\) −19863.1 + 4372.21i −2.50163 + 0.550651i
\(399\) −76.5429 + 144.375i −0.00960385 + 0.0181148i
\(400\) 310.055 1891.25i 0.0387569 0.236406i
\(401\) 2789.84 2120.78i 0.347426 0.264107i −0.416878 0.908963i \(-0.636876\pi\)
0.764304 + 0.644856i \(0.223083\pi\)
\(402\) −484.675 + 224.235i −0.0601329 + 0.0278204i
\(403\) 6776.85 + 6419.38i 0.837665 + 0.793479i
\(404\) −1495.75 9123.69i −0.184199 1.12357i
\(405\) 1092.65 + 368.157i 0.134060 + 0.0451701i
\(406\) 2933.47 7362.44i 0.358585 0.899980i
\(407\) 9513.54 9011.71i 1.15865 1.09753i
\(408\) −664.363 505.035i −0.0806148 0.0612818i
\(409\) −15041.0 3310.77i −1.81840 0.400261i −0.830717 0.556696i \(-0.812069\pi\)
−0.987688 + 0.156434i \(0.950000\pi\)
\(410\) 10736.5 12639.9i 1.29326 1.52254i
\(411\) 7166.63 + 779.418i 0.860106 + 0.0935422i
\(412\) 8090.92 0.967503
\(413\) −2579.90 9385.55i −0.307382 1.11824i
\(414\) 51.2408 0.00608296
\(415\) 1896.14 + 206.217i 0.224284 + 0.0243923i
\(416\) −8441.35 + 9937.92i −0.994882 + 1.17127i
\(417\) −3784.02 832.926i −0.444375 0.0978143i
\(418\) −266.317 202.449i −0.0311627 0.0236892i
\(419\) −9530.57 + 9027.84i −1.11121 + 1.05260i −0.112957 + 0.993600i \(0.536032\pi\)
−0.998258 + 0.0589987i \(0.981209\pi\)
\(420\) 3882.84 9745.18i 0.451102 1.13218i
\(421\) −3837.02 1292.84i −0.444192 0.149666i 0.0883127 0.996093i \(-0.471853\pi\)
−0.532505 + 0.846427i \(0.678749\pi\)
\(422\) 2914.97 + 17780.6i 0.336253 + 2.05105i
\(423\) 1399.26 + 1325.45i 0.160838 + 0.152353i
\(424\) −7377.70 + 3413.29i −0.845030 + 0.390952i
\(425\) −1134.43 + 862.370i −0.129477 + 0.0984261i
\(426\) 997.570 6084.91i 0.113456 0.692053i
\(427\) −4806.60 + 9066.20i −0.544748 + 1.02750i
\(428\) 17239.3 3794.65i 1.94694 0.428555i
\(429\) 4616.79 + 2135.96i 0.519583 + 0.240384i
\(430\) 9371.31 + 23520.2i 1.05099 + 2.63778i
\(431\) −197.850 3649.13i −0.0221116 0.407824i −0.988547 0.150914i \(-0.951778\pi\)
0.966435 0.256910i \(-0.0827044\pi\)
\(432\) 374.087 + 551.737i 0.0416627 + 0.0614479i
\(433\) 5692.01 + 6701.15i 0.631733 + 0.743733i 0.981153 0.193233i \(-0.0618973\pi\)
−0.349420 + 0.936966i \(0.613621\pi\)
\(434\) −7305.61 13779.8i −0.808019 1.52409i
\(435\) −3387.04 + 1141.23i −0.373324 + 0.125788i
\(436\) −914.717 + 16871.0i −0.100475 + 1.85315i
\(437\) 2.80624 1.68846i 0.000307187 0.000184828i
\(438\) −458.589 1651.69i −0.0500279 0.180184i
\(439\) 2006.14 7225.45i 0.218104 0.785540i −0.770812 0.637063i \(-0.780149\pi\)
0.988916 0.148477i \(-0.0474371\pi\)
\(440\) 5530.05 + 3327.32i 0.599170 + 0.360508i
\(441\) −597.572 + 881.352i −0.0645256 + 0.0951681i
\(442\) 4559.81 495.909i 0.490697 0.0533665i
\(443\) −16610.4 + 1806.49i −1.78145 + 0.193744i −0.938740 0.344626i \(-0.888006\pi\)
−0.842709 + 0.538370i \(0.819040\pi\)
\(444\) 8433.27 12438.1i 0.901408 1.32948i
\(445\) −4206.21 2530.80i −0.448076 0.269598i
\(446\) 733.566 2642.06i 0.0778819 0.280505i
\(447\) 936.960 + 3374.62i 0.0991424 + 0.357079i
\(448\) 15032.9 9044.99i 1.58535 0.953874i
\(449\) 656.957 12116.9i 0.0690506 1.27356i −0.734616 0.678484i \(-0.762637\pi\)
0.803666 0.595080i \(-0.202880\pi\)
\(450\) −2918.87 + 983.483i −0.305771 + 0.103026i
\(451\) −3703.54 6985.62i −0.386680 0.729357i
\(452\) −7929.76 9335.63i −0.825187 0.971485i
\(453\) −3174.55 4682.11i −0.329257 0.485617i
\(454\) 750.878 + 13849.1i 0.0776221 + 1.43166i
\(455\) 6413.39 + 16096.4i 0.660801 + 1.65849i
\(456\) −104.635 48.4094i −0.0107456 0.00497144i
\(457\) −6786.65 + 1493.86i −0.694674 + 0.152909i −0.548253 0.836313i \(-0.684707\pi\)
−0.146422 + 0.989222i \(0.546776\pi\)
\(458\) −1801.07 + 3397.18i −0.183752 + 0.346593i
\(459\) 80.1863 489.115i 0.00815419 0.0497384i
\(460\) −167.373 + 127.234i −0.0169648 + 0.0128963i
\(461\) −15860.5 + 7337.83i −1.60237 + 0.741338i −0.998447 0.0557016i \(-0.982260\pi\)
−0.603928 + 0.797039i \(0.706398\pi\)
\(462\) −6170.62 5845.12i −0.621393 0.588614i
\(463\) 858.882 + 5238.95i 0.0862109 + 0.525863i 0.994259 + 0.106998i \(0.0341238\pi\)
−0.908048 + 0.418865i \(0.862428\pi\)
\(464\) −1958.18 659.788i −0.195919 0.0660127i
\(465\) −2603.45 + 6534.17i −0.259639 + 0.651644i
\(466\) −9790.29 + 9273.86i −0.973233 + 0.921895i
\(467\) 6026.21 + 4581.01i 0.597130 + 0.453927i 0.859567 0.511022i \(-0.170733\pi\)
−0.262437 + 0.964949i \(0.584526\pi\)
\(468\) 5697.23 + 1254.05i 0.562723 + 0.123865i
\(469\) −561.427 + 660.963i −0.0552756 + 0.0650755i
\(470\) −13360.8 1453.07i −1.31125 0.142607i
\(471\) 4097.08 0.400814
\(472\) 6513.53 2176.03i 0.635189 0.212203i
\(473\) 12070.7 1.17338
\(474\) −13517.2 1470.08i −1.30984 0.142454i
\(475\) −127.447 + 150.043i −0.0123109 + 0.0144935i
\(476\) −4404.01 969.396i −0.424070 0.0933449i
\(477\) −3843.53 2921.78i −0.368938 0.280459i
\(478\) 13908.8 13175.1i 1.33090 1.26070i
\(479\) 6328.45 15883.2i 0.603662 1.51508i −0.235879 0.971782i \(-0.575797\pi\)
0.839541 0.543296i \(-0.182824\pi\)
\(480\) −9310.84 3137.19i −0.885374 0.298317i
\(481\) 4015.66 + 24494.5i 0.380662 + 2.32194i
\(482\) −3420.51 3240.08i −0.323236 0.306186i
\(483\) 75.5196 34.9391i 0.00711441 0.00329148i
\(484\) −3968.02 + 3016.41i −0.372654 + 0.283284i
\(485\) −1571.87 + 9587.97i −0.147165 + 0.897664i
\(486\) 501.819 946.531i 0.0468374 0.0883447i
\(487\) 165.392 36.4055i 0.0153894 0.00338746i −0.207269 0.978284i \(-0.566458\pi\)
0.222658 + 0.974897i \(0.428527\pi\)
\(488\) −6570.69 3039.92i −0.609511 0.281990i
\(489\) −3821.96 9592.39i −0.353446 0.887082i
\(490\) −401.988 7414.23i −0.0370612 0.683553i
\(491\) 6446.24 + 9507.50i 0.592495 + 0.873864i 0.999212 0.0396898i \(-0.0126370\pi\)
−0.406717 + 0.913554i \(0.633327\pi\)
\(492\) −5869.97 6910.66i −0.537883 0.633245i
\(493\) 719.669 + 1357.44i 0.0657450 + 0.124008i
\(494\) 600.487 202.327i 0.0546906 0.0184274i
\(495\) −207.519 + 3827.47i −0.0188430 + 0.347539i
\(496\) −3484.39 + 2096.49i −0.315431 + 0.189788i
\(497\) −2678.82 9648.25i −0.241774 0.870791i
\(498\) 474.114 1707.60i 0.0426618 0.153654i
\(499\) −12962.8 7799.48i −1.16292 0.699705i −0.202778 0.979225i \(-0.564997\pi\)
−0.960140 + 0.279520i \(0.909825\pi\)
\(500\) −4328.26 + 6383.70i −0.387131 + 0.570976i
\(501\) 5517.40 600.054i 0.492015 0.0535098i
\(502\) −23709.2 + 2578.53i −2.10796 + 0.229254i
\(503\) 4310.18 6357.04i 0.382071 0.563512i −0.587221 0.809427i \(-0.699778\pi\)
0.969291 + 0.245915i \(0.0790883\pi\)
\(504\) −2509.94 1510.18i −0.221829 0.133470i
\(505\) −3078.43 + 11087.5i −0.271264 + 0.977005i
\(506\) 45.5724 + 164.137i 0.00400383 + 0.0144205i
\(507\) −2608.75 + 1569.63i −0.228518 + 0.137495i
\(508\) −1584.71 + 29228.3i −0.138406 + 2.55275i
\(509\) 10467.0 3526.73i 0.911473 0.307111i 0.175783 0.984429i \(-0.443754\pi\)
0.735690 + 0.677318i \(0.236858\pi\)
\(510\) 1618.88 + 3053.54i 0.140560 + 0.265124i
\(511\) −1802.10 2121.59i −0.156008 0.183667i
\(512\) −4867.34 7178.79i −0.420133 0.619650i
\(513\) −3.70709 68.3733i −0.000319049 0.00588451i
\(514\) 3146.49 + 7897.10i 0.270011 + 0.677678i
\(515\) −9139.25 4228.27i −0.781987 0.361786i
\(516\) 13518.8 2975.71i 1.15335 0.253872i
\(517\) −3001.27 + 5661.00i −0.255311 + 0.481567i
\(518\) 6709.57 40926.6i 0.569115 3.47145i
\(519\) 7688.02 5844.28i 0.650225 0.494288i
\(520\) −11094.9 + 5133.03i −0.935658 + 0.432881i
\(521\) 3142.44 + 2976.68i 0.264248 + 0.250309i 0.808339 0.588717i \(-0.200367\pi\)
−0.544091 + 0.839026i \(0.683126\pi\)
\(522\) 537.268 + 3277.19i 0.0450490 + 0.274787i
\(523\) 4472.57 + 1506.99i 0.373943 + 0.125996i 0.499996 0.866027i \(-0.333335\pi\)
−0.126054 + 0.992023i \(0.540231\pi\)
\(524\) −8272.07 + 20761.3i −0.689632 + 1.73085i
\(525\) −3631.29 + 3439.74i −0.301872 + 0.285948i
\(526\) −8791.35 6683.01i −0.728748 0.553980i
\(527\) 2952.90 + 649.982i 0.244080 + 0.0537261i
\(528\) −1434.65 + 1689.00i −0.118248 + 0.139212i
\(529\) 12094.0 + 1315.30i 0.994002 + 0.108104i
\(530\) 33665.7 2.75914
\(531\) 2953.89 + 2812.52i 0.241408 + 0.229855i
\(532\) −622.983 −0.0507702
\(533\) 14888.7 + 1619.25i 1.20995 + 0.131590i
\(534\) −2952.82 + 3476.32i −0.239290 + 0.281714i
\(535\) −21456.0 4722.82i −1.73388 0.381655i
\(536\) −487.089 370.276i −0.0392520 0.0298386i
\(537\) −2355.46 + 2231.21i −0.189285 + 0.179300i
\(538\) 1848.10 4638.38i 0.148099 0.371700i
\(539\) −3354.66 1130.32i −0.268080 0.0903268i
\(540\) 711.147 + 4337.80i 0.0566720 + 0.345684i
\(541\) 2160.10 + 2046.15i 0.171663 + 0.162608i 0.768708 0.639600i \(-0.220900\pi\)
−0.597045 + 0.802208i \(0.703659\pi\)
\(542\) −29952.8 + 13857.7i −2.37377 + 1.09822i
\(543\) −5945.47 + 4519.63i −0.469880 + 0.357193i
\(544\) −683.293 + 4167.90i −0.0538528 + 0.328488i
\(545\) 9849.90 18578.9i 0.774171 1.46024i
\(546\) 15723.2 3460.93i 1.23240 0.271271i
\(547\) 21623.3 + 10004.0i 1.69021 + 0.781974i 0.998193 + 0.0600918i \(0.0191393\pi\)
0.692016 + 0.721882i \(0.256723\pi\)
\(548\) 10172.5 + 25531.1i 0.792971 + 1.99021i
\(549\) −232.791 4293.58i −0.0180970 0.333780i
\(550\) −5746.32 8475.19i −0.445498 0.657060i
\(551\) 137.412 + 161.774i 0.0106242 + 0.0125078i
\(552\) 27.4990 + 51.8686i 0.00212035 + 0.00399941i
\(553\) −20924.3 + 7050.22i −1.60903 + 0.542144i
\(554\) 843.718 15561.5i 0.0647042 1.19340i
\(555\) −16026.1 + 9642.56i −1.22571 + 0.737485i
\(556\) −3951.79 14233.1i −0.301427 1.08564i
\(557\) −3303.28 + 11897.3i −0.251283 + 0.905039i 0.725037 + 0.688709i \(0.241822\pi\)
−0.976320 + 0.216330i \(0.930591\pi\)
\(558\) 5599.94 + 3369.37i 0.424847 + 0.255622i
\(559\) −12830.9 + 18924.2i −0.970823 + 1.43186i
\(560\) −7504.03 + 816.112i −0.566255 + 0.0615840i
\(561\) 1638.07 178.151i 0.123279 0.0134074i
\(562\) −18618.7 + 27460.6i −1.39748 + 2.06113i
\(563\) −10836.4 6520.04i −0.811189 0.488076i 0.0485434 0.998821i \(-0.484542\pi\)
−0.859732 + 0.510745i \(0.829370\pi\)
\(564\) −1965.76 + 7080.03i −0.146761 + 0.528587i
\(565\) 4078.46 + 14689.3i 0.303685 + 1.09377i
\(566\) 9069.64 5457.02i 0.673543 0.405258i
\(567\) 94.1875 1737.19i 0.00697620 0.128668i
\(568\) 6694.82 2255.75i 0.494557 0.166636i
\(569\) −9846.39 18572.3i −0.725452 1.36835i −0.921743 0.387802i \(-0.873235\pi\)
0.196291 0.980546i \(-0.437110\pi\)
\(570\) 309.107 + 363.909i 0.0227141 + 0.0267412i
\(571\) −10546.2 15554.5i −0.772935 1.13999i −0.986611 0.163089i \(-0.947854\pi\)
0.213677 0.976904i \(-0.431456\pi\)
\(572\) 1049.94 + 19365.0i 0.0767484 + 1.41554i
\(573\) 427.731 + 1073.52i 0.0311845 + 0.0782671i
\(574\) −22710.7 10507.1i −1.65144 0.764039i
\(575\) 97.9016 21.5498i 0.00710048 0.00156293i
\(576\) −3443.52 + 6495.16i −0.249097 + 0.469847i
\(577\) −61.4407 + 374.772i −0.00443294 + 0.0270398i −0.988950 0.148247i \(-0.952637\pi\)
0.984517 + 0.175287i \(0.0560852\pi\)
\(578\) −16060.8 + 12209.1i −1.15578 + 0.878602i
\(579\) −11936.9 + 5522.59i −0.856788 + 0.396392i
\(580\) −9892.39 9370.57i −0.708205 0.670848i
\(581\) −465.591 2839.98i −0.0332461 0.202792i
\(582\) 8555.10 + 2882.55i 0.609313 + 0.205301i
\(583\) 5940.82 14910.3i 0.422031 1.05922i
\(584\) 1425.82 1350.61i 0.101029 0.0956995i
\(585\) −5780.05 4393.88i −0.408505 0.310538i
\(586\) 23756.2 + 5229.13i 1.67467 + 0.368623i
\(587\) 7873.45 9269.34i 0.553615 0.651766i −0.412171 0.911107i \(-0.635229\pi\)
0.965786 + 0.259340i \(0.0835052\pi\)
\(588\) −4035.76 438.915i −0.283047 0.0307833i
\(589\) 417.712 0.0292216
\(590\) −28266.1 3147.70i −1.97237 0.219642i
\(591\) 13063.1 0.909209
\(592\) −10749.7 1169.10i −0.746303 0.0811653i
\(593\) −9670.79 + 11385.3i −0.669699 + 0.788431i −0.987142 0.159847i \(-0.948900\pi\)
0.317443 + 0.948277i \(0.397176\pi\)
\(594\) 3478.28 + 765.628i 0.240262 + 0.0528857i
\(595\) 4468.03 + 3396.51i 0.307851 + 0.234022i
\(596\) −9693.52 + 9182.19i −0.666211 + 0.631069i
\(597\) 5122.61 12856.8i 0.351180 0.881395i
\(598\) −305.774 103.027i −0.0209097 0.00704531i
\(599\) 2430.69 + 14826.5i 0.165802 + 1.01134i 0.930322 + 0.366745i \(0.119528\pi\)
−0.764520 + 0.644600i \(0.777024\pi\)
\(600\) −2561.98 2426.84i −0.174321 0.165126i
\(601\) 1847.20 854.607i 0.125373 0.0580036i −0.356200 0.934410i \(-0.615928\pi\)
0.481573 + 0.876406i \(0.340066\pi\)
\(602\) 30412.4 23118.9i 2.05900 1.56521i
\(603\) 58.7900 358.603i 0.00397034 0.0242180i
\(604\) 10101.7 19053.9i 0.680518 1.28359i
\(605\) 6058.51 1333.58i 0.407130 0.0896160i
\(606\) 9703.59 + 4489.36i 0.650464 + 0.300937i
\(607\) 926.912 + 2326.37i 0.0619806 + 0.155559i 0.956705 0.291059i \(-0.0940075\pi\)
−0.894725 + 0.446618i \(0.852628\pi\)
\(608\) 31.5893 + 582.630i 0.00210710 + 0.0388631i
\(609\) 3026.42 + 4463.64i 0.201374 + 0.297005i
\(610\) 19410.7 + 22852.1i 1.28839 + 1.51681i
\(611\) −5684.92 10722.9i −0.376411 0.709986i
\(612\) 1790.67 603.347i 0.118274 0.0398511i
\(613\) −132.760 + 2448.62i −0.00874738 + 0.161336i 0.990896 + 0.134630i \(0.0429846\pi\)
−0.999643 + 0.0267060i \(0.991498\pi\)
\(614\) 37260.2 22418.7i 2.44902 1.47353i
\(615\) 3019.06 + 10873.7i 0.197952 + 0.712958i
\(616\) 2605.20 9383.09i 0.170400 0.613726i
\(617\) −3586.45 2157.89i −0.234011 0.140800i 0.393719 0.919231i \(-0.371188\pi\)
−0.627730 + 0.778431i \(0.716016\pi\)
\(618\) −5250.80 + 7744.35i −0.341777 + 0.504083i
\(619\) −5781.80 + 628.809i −0.375428 + 0.0408303i −0.293888 0.955840i \(-0.594949\pi\)
−0.0815400 + 0.996670i \(0.525984\pi\)
\(620\) −26658.0 + 2899.24i −1.72680 + 0.187800i
\(621\) −19.5672 + 28.8594i −0.00126442 + 0.00186488i
\(622\) −6942.32 4177.06i −0.447527 0.269268i
\(623\) −1981.55 + 7136.88i −0.127430 + 0.458962i
\(624\) −1122.98 4044.59i −0.0720432 0.259476i
\(625\) 16539.4 9951.45i 1.05852 0.636893i
\(626\) 1568.44 28928.2i 0.100140 1.84697i
\(627\) 215.720 72.6844i 0.0137400 0.00462956i
\(628\) 7316.37 + 13800.1i 0.464897 + 0.876888i
\(629\) 5204.98 + 6127.78i 0.329946 + 0.388443i
\(630\) 6807.89 + 10040.9i 0.430529 + 0.634982i
\(631\) 670.203 + 12361.2i 0.0422826 + 0.779858i 0.940393 + 0.340088i \(0.110457\pi\)
−0.898111 + 0.439769i \(0.855060\pi\)
\(632\) −5766.08 14471.8i −0.362915 0.910848i
\(633\) −11127.4 5148.07i −0.698694 0.323250i
\(634\) 25462.2 5604.65i 1.59500 0.351087i
\(635\) 17064.6 32187.2i 1.06644 2.01151i
\(636\) 2977.78 18163.7i 0.185655 1.13245i
\(637\) 5338.03 4057.87i 0.332026 0.252400i
\(638\) −10019.8 + 4635.66i −0.621769 + 0.287661i
\(639\) 3046.15 + 2885.47i 0.188582 + 0.178635i
\(640\) −4054.58 24731.8i −0.250424 1.52752i
\(641\) −17611.8 5934.12i −1.08522 0.365653i −0.280832 0.959757i \(-0.590610\pi\)
−0.804388 + 0.594104i \(0.797507\pi\)
\(642\) −7555.74 + 18963.5i −0.464488 + 1.16578i
\(643\) 13351.2 12647.0i 0.818851 0.775657i −0.158482 0.987362i \(-0.550660\pi\)
0.977334 + 0.211705i \(0.0679015\pi\)
\(644\) 252.544 + 191.979i 0.0154528 + 0.0117469i
\(645\) −16825.5 3703.57i −1.02714 0.226090i
\(646\) 132.876 156.433i 0.00809277 0.00952754i
\(647\) −2825.36 307.276i −0.171679 0.0186712i 0.0218757 0.999761i \(-0.493036\pi\)
−0.193555 + 0.981089i \(0.562002\pi\)
\(648\) 1227.44 0.0744109
\(649\) −6382.07 + 11963.4i −0.386007 + 0.723583i
\(650\) 19395.5 1.17039
\(651\) 10550.7 + 1147.46i 0.635202 + 0.0690824i
\(652\) 25484.8 30003.1i 1.53077 1.80216i
\(653\) −11082.9 2439.54i −0.664179 0.146197i −0.129929 0.991523i \(-0.541475\pi\)
−0.534250 + 0.845327i \(0.679406\pi\)
\(654\) −15554.7 11824.4i −0.930024 0.706986i
\(655\) 20193.6 19128.4i 1.20463 1.14108i
\(656\) −2414.90 + 6060.94i −0.143729 + 0.360731i
\(657\) 1105.37 + 372.443i 0.0656387 + 0.0221163i
\(658\) 3280.70 + 20011.4i 0.194369 + 1.18560i
\(659\) 9526.89 + 9024.35i 0.563149 + 0.533443i 0.915444 0.402446i \(-0.131840\pi\)
−0.352295 + 0.935889i \(0.614599\pi\)
\(660\) −13262.6 + 6135.92i −0.782190 + 0.361879i
\(661\) 14465.3 10996.2i 0.851187 0.647055i −0.0858417 0.996309i \(-0.527358\pi\)
0.937028 + 0.349254i \(0.113565\pi\)
\(662\) −197.128 + 1202.43i −0.0115734 + 0.0705945i
\(663\) −1461.94 + 2757.51i −0.0856366 + 0.161528i
\(664\) 1982.97 436.484i 0.115895 0.0255103i
\(665\) 703.702 + 325.567i 0.0410352 + 0.0189849i
\(666\) 6432.39 + 16144.1i 0.374249 + 0.939294i
\(667\) −5.85151 107.925i −0.000339687 0.00626517i
\(668\) 11873.9 + 17512.6i 0.687745 + 1.01435i
\(669\) 1207.92 + 1422.07i 0.0698069 + 0.0821831i
\(670\) 1186.91 + 2238.76i 0.0684395 + 0.129091i
\(671\) 13546.4 4564.30i 0.779361 0.262597i
\(672\) −802.602 + 14803.1i −0.0460730 + 0.849766i
\(673\) 25139.2 15125.8i 1.43989 0.866353i 0.440385 0.897809i \(-0.354842\pi\)
0.999505 + 0.0314557i \(0.0100143\pi\)
\(674\) −5473.62 19714.2i −0.312813 1.12665i
\(675\) 560.713 2019.51i 0.0319731 0.115157i
\(676\) −9945.54 5984.03i −0.565859 0.340466i
\(677\) 16624.3 24519.0i 0.943756 1.39194i 0.0238854 0.999715i \(-0.492396\pi\)
0.919871 0.392222i \(-0.128293\pi\)
\(678\) 14082.0 1531.50i 0.797661 0.0867509i
\(679\) 14574.2 1585.04i 0.823719 0.0895848i
\(680\) −2222.16 + 3277.44i −0.125318 + 0.184830i
\(681\) −8086.74 4865.63i −0.455043 0.273790i
\(682\) −5812.48 + 20934.7i −0.326351 + 1.17541i
\(683\) 4416.02 + 15905.1i 0.247400 + 0.891055i 0.978062 + 0.208315i \(0.0667979\pi\)
−0.730662 + 0.682740i \(0.760788\pi\)
\(684\) 223.681 134.584i 0.0125039 0.00752333i
\(685\) 1851.84 34155.2i 0.103292 1.90511i
\(686\) 20162.2 6793.45i 1.12215 0.378098i
\(687\) −1225.56 2311.66i −0.0680613 0.128377i
\(688\) −6448.18 7591.39i −0.357318 0.420667i
\(689\) 17061.2 + 25163.4i 0.943367 + 1.39136i
\(690\) −13.1629 242.775i −0.000726236 0.0133946i
\(691\) 5623.82 + 14114.7i 0.309609 + 0.777061i 0.998630 + 0.0523196i \(0.0166615\pi\)
−0.689021 + 0.724741i \(0.741959\pi\)
\(692\) 33414.1 + 15459.0i 1.83557 + 0.849224i
\(693\) 5648.41 1243.31i 0.309618 0.0681521i
\(694\) −7208.28 + 13596.3i −0.394269 + 0.743670i
\(695\) −2974.30 + 18142.4i −0.162333 + 0.990188i
\(696\) −3029.01 + 2302.60i −0.164963 + 0.125402i
\(697\) 4402.73 2036.92i 0.239262 0.110694i
\(698\) 36418.5 + 34497.4i 1.97487 + 1.87070i
\(699\) −1484.56 9055.40i −0.0803306 0.489995i
\(700\) −18070.6 6088.70i −0.975721 0.328759i
\(701\) −8873.95 + 22271.9i −0.478124 + 1.20000i 0.470162 + 0.882580i \(0.344196\pi\)
−0.948285 + 0.317419i \(0.897184\pi\)
\(702\) −4897.69 + 4639.34i −0.263321 + 0.249431i
\(703\) 884.246 + 672.187i 0.0474395 + 0.0360626i
\(704\) −23868.2 5253.79i −1.27779 0.281264i
\(705\) 5920.44 6970.08i 0.316279 0.372352i
\(706\) 39939.6 + 4343.70i 2.12911 + 0.231554i
\(707\) 17362.4 0.923596
\(708\) −4198.45 + 14972.0i −0.222864 + 0.794748i
\(709\) 7330.40 0.388292 0.194146 0.980973i \(-0.437806\pi\)
0.194146 + 0.980973i \(0.437806\pi\)
\(710\) −29086.1 3163.31i −1.53744 0.167207i
\(711\) 5989.75 7051.68i 0.315940 0.371953i
\(712\) −5103.58 1123.38i −0.268631 0.0591300i
\(713\) −169.331 128.722i −0.00889412 0.00676113i
\(714\) 3785.96 3586.25i 0.198440 0.187972i
\(715\) 8934.04 22422.8i 0.467293 1.17282i
\(716\) −11721.6 3949.48i −0.611813 0.206144i
\(717\) 2109.07 + 12864.7i 0.109853 + 0.670073i
\(718\) −16795.2 15909.3i −0.872969 0.826920i
\(719\) 12171.2 5631.00i 0.631306 0.292073i −0.0780221 0.996952i \(-0.524860\pi\)
0.709328 + 0.704878i \(0.248998\pi\)
\(720\) 2518.00 1914.13i 0.130334 0.0990771i
\(721\) −2458.16 + 14994.1i −0.126972 + 0.774492i
\(722\) −14151.2 + 26692.1i −0.729438 + 1.37587i
\(723\) 3131.03 689.192i 0.161057 0.0354514i
\(724\) −25840.5 11955.1i −1.32646 0.613685i
\(725\) 2404.77 + 6035.51i 0.123187 + 0.309177i
\(726\) −312.061 5755.62i −0.0159527 0.294230i
\(727\) −9454.38 13944.2i −0.482316 0.711363i 0.506211 0.862410i \(-0.331046\pi\)
−0.988527 + 0.151047i \(0.951735\pi\)
\(728\) 11941.4 + 14058.5i 0.607935 + 0.715716i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −7707.78 + 2597.05i −0.390792 + 0.131673i
\(731\) −400.948 + 7395.05i −0.0202867 + 0.374167i
\(732\) 14046.3 8451.37i 0.709243 0.426737i
\(733\) −2347.43 8454.69i −0.118287 0.426031i 0.880565 0.473925i \(-0.157163\pi\)
−0.998852 + 0.0478932i \(0.984749\pi\)
\(734\) −7811.34 + 28133.9i −0.392809 + 1.41477i
\(735\) 4329.29 + 2604.85i 0.217263 + 0.130723i
\(736\) 166.738 245.920i 0.00835061 0.0123162i
\(737\) 1200.98 130.615i 0.0600254 0.00652815i
\(738\) 10424.1 1133.69i 0.519941 0.0565470i
\(739\) 18942.9 27938.6i 0.942929 1.39072i 0.0225253 0.999746i \(-0.492829\pi\)
0.920404 0.390970i \(-0.127860\pi\)
\(740\) −61097.5 36761.1i −3.03512 1.82617i
\(741\) −115.353 + 415.464i −0.00571875 + 0.0205971i
\(742\) −13589.7 48945.6i −0.672362 2.42163i
\(743\) −476.843 + 286.907i −0.0235446 + 0.0141663i −0.527278 0.849693i \(-0.676787\pi\)
0.503733 + 0.863859i \(0.331960\pi\)
\(744\) −405.379 + 7476.78i −0.0199757 + 0.368430i
\(745\) 15748.1 5306.14i 0.774448 0.260942i
\(746\) 5990.74 + 11299.7i 0.294017 + 0.554574i
\(747\) 780.695 + 919.105i 0.0382385 + 0.0450178i
\(748\) 3525.25 + 5199.36i 0.172321 + 0.254154i
\(749\) 1794.67 + 33100.7i 0.0875510 + 1.61478i
\(750\) −3301.33 8285.72i −0.160730 0.403402i
\(751\) 21258.9 + 9835.40i 1.03295 + 0.477895i 0.861746 0.507341i \(-0.169371\pi\)
0.171207 + 0.985235i \(0.445233\pi\)
\(752\) 5163.56 1136.58i 0.250393 0.0551157i
\(753\) 7601.51 14338.0i 0.367881 0.693898i
\(754\) 3383.19 20636.5i 0.163406 0.996735i
\(755\) −21368.0 + 16243.6i −1.03002 + 0.782998i
\(756\) 6019.53 2784.93i 0.289588 0.133978i
\(757\) −6277.91 5946.75i −0.301419 0.285520i 0.522009 0.852940i \(-0.325183\pi\)
−0.823428 + 0.567420i \(0.807941\pi\)
\(758\) −5769.23 35190.7i −0.276448 1.68626i
\(759\) −109.847 37.0116i −0.00525320 0.00177001i
\(760\) −202.482 + 508.190i −0.00966418 + 0.0242553i
\(761\) −16113.0 + 15263.1i −0.767538 + 0.727050i −0.967533 0.252747i \(-0.918666\pi\)
0.199995 + 0.979797i \(0.435907\pi\)
\(762\) −26947.9 20485.2i −1.28113 0.973887i
\(763\) −30987.3 6820.83i −1.47027 0.323631i
\(764\) −2852.11 + 3357.76i −0.135060 + 0.159005i
\(765\) −2337.99 254.272i −0.110497 0.0120173i
\(766\) −24888.1 −1.17395
\(767\) −11972.0 22722.6i −0.563604 1.06971i
\(768\) −3682.49 −0.173021
\(769\) −34701.2 3773.99i −1.62725 0.176975i −0.751501 0.659732i \(-0.770670\pi\)
−0.875754 + 0.482757i \(0.839635\pi\)
\(770\) −26108.7 + 30737.5i −1.22194 + 1.43858i
\(771\) −5649.29