Properties

Label 225.4.u.a.4.20
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.20
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.728639 - 3.42798i) q^{2} +(-4.82414 + 1.93071i) q^{3} +(-3.91175 + 1.74162i) q^{4} +(-5.26207 + 9.86462i) q^{5} +(10.1335 + 15.1303i) q^{6} +(23.0240 - 13.2929i) q^{7} +(-7.65893 - 10.5416i) q^{8} +(19.5447 - 18.6280i) q^{9} +O(q^{10})\) \(q+(-0.728639 - 3.42798i) q^{2} +(-4.82414 + 1.93071i) q^{3} +(-3.91175 + 1.74162i) q^{4} +(-5.26207 + 9.86462i) q^{5} +(10.1335 + 15.1303i) q^{6} +(23.0240 - 13.2929i) q^{7} +(-7.65893 - 10.5416i) q^{8} +(19.5447 - 18.6280i) q^{9} +(37.6498 + 10.8505i) q^{10} +(-21.1063 + 4.48628i) q^{11} +(15.5083 - 15.9543i) q^{12} +(8.68684 - 40.8684i) q^{13} +(-62.3441 - 69.2401i) q^{14} +(6.33924 - 57.7478i) q^{15} +(-53.4773 + 59.3925i) q^{16} +(11.2228 + 15.4469i) q^{17} +(-78.0976 - 53.4257i) q^{18} +(-54.4316 + 39.5469i) q^{19} +(3.40344 - 47.7525i) q^{20} +(-85.4065 + 108.580i) q^{21} +(30.7577 + 69.0830i) q^{22} +(-62.9364 + 56.6682i) q^{23} +(57.3006 + 36.0671i) q^{24} +(-69.6213 - 103.817i) q^{25} -146.425 q^{26} +(-58.3211 + 127.600i) q^{27} +(-66.9130 + 92.0979i) q^{28} +(-11.3622 + 108.104i) q^{29} +(-202.577 + 20.3466i) q^{30} +(-26.1215 - 248.530i) q^{31} +(152.286 + 87.9225i) q^{32} +(93.1581 - 62.3926i) q^{33} +(44.7741 - 49.7267i) q^{34} +(9.97570 + 297.072i) q^{35} +(-44.0110 + 106.908i) q^{36} +(-178.573 + 58.0218i) q^{37} +(175.227 + 157.775i) q^{38} +(36.9984 + 213.927i) q^{39} +(144.291 - 20.0817i) q^{40} +(-460.124 - 97.8023i) q^{41} +(434.440 + 213.656i) q^{42} +(-130.968 + 75.6143i) q^{43} +(74.7491 - 54.3084i) q^{44} +(80.9130 + 290.823i) q^{45} +(240.115 + 174.454i) q^{46} +(324.502 + 34.1066i) q^{47} +(143.312 - 389.767i) q^{48} +(181.904 - 315.068i) q^{49} +(-305.152 + 314.305i) q^{50} +(-83.9638 - 52.8499i) q^{51} +(37.1966 + 174.996i) q^{52} +(-128.367 + 176.682i) q^{53} +(479.903 + 106.949i) q^{54} +(66.8073 - 231.813i) q^{55} +(-316.469 - 140.901i) q^{56} +(186.232 - 295.871i) q^{57} +(378.856 - 39.8194i) q^{58} +(-720.040 - 153.049i) q^{59} +(75.7775 + 236.936i) q^{60} +(-448.140 + 95.2551i) q^{61} +(-832.921 + 270.632i) q^{62} +(202.377 - 688.700i) q^{63} +(-7.13968 + 21.9737i) q^{64} +(357.440 + 300.745i) q^{65} +(-281.759 - 273.882i) q^{66} +(279.089 - 29.3334i) q^{67} +(-70.8034 - 40.8784i) q^{68} +(194.204 - 394.888i) q^{69} +(1011.09 - 250.654i) q^{70} +(-0.167489 - 0.121688i) q^{71} +(-346.061 - 63.3619i) q^{72} +(-579.386 - 188.254i) q^{73} +(329.012 + 569.866i) q^{74} +(536.303 + 366.407i) q^{75} +(144.047 - 249.497i) q^{76} +(-426.316 + 383.857i) q^{77} +(706.377 - 282.705i) q^{78} +(-76.4558 + 727.428i) q^{79} +(-304.484 - 840.060i) q^{80} +(34.9917 - 728.160i) q^{81} +1648.56i q^{82} +(-243.607 + 547.150i) q^{83} +(144.984 - 573.483i) q^{84} +(-211.433 + 29.4262i) q^{85} +(354.633 + 393.859i) q^{86} +(-153.904 - 543.445i) q^{87} +(208.944 + 188.134i) q^{88} +(-8.75652 + 26.9498i) q^{89} +(937.979 - 489.273i) q^{90} +(-343.255 - 1056.43i) q^{91} +(147.497 - 331.283i) q^{92} +(605.852 + 1148.51i) q^{93} +(-119.528 - 1137.24i) q^{94} +(-103.692 - 745.045i) q^{95} +(-904.404 - 130.130i) q^{96} +(1726.18 + 181.429i) q^{97} +(-1212.59 - 393.993i) q^{98} +(-328.946 + 480.852i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.728639 3.42798i −0.257613 1.21197i −0.896630 0.442781i \(-0.853992\pi\)
0.639017 0.769192i \(-0.279341\pi\)
\(3\) −4.82414 + 1.93071i −0.928407 + 0.371565i
\(4\) −3.91175 + 1.74162i −0.488969 + 0.217703i
\(5\) −5.26207 + 9.86462i −0.470653 + 0.882318i
\(6\) 10.1335 + 15.1303i 0.689497 + 1.02948i
\(7\) 23.0240 13.2929i 1.24318 0.717751i 0.273441 0.961889i \(-0.411838\pi\)
0.969741 + 0.244138i \(0.0785049\pi\)
\(8\) −7.65893 10.5416i −0.338480 0.465878i
\(9\) 19.5447 18.6280i 0.723878 0.689928i
\(10\) 37.6498 + 10.8505i 1.19059 + 0.343123i
\(11\) −21.1063 + 4.48628i −0.578526 + 0.122970i −0.487875 0.872913i \(-0.662228\pi\)
−0.0906506 + 0.995883i \(0.528895\pi\)
\(12\) 15.5083 15.9543i 0.373071 0.383801i
\(13\) 8.68684 40.8684i 0.185331 0.871912i −0.782958 0.622075i \(-0.786290\pi\)
0.968288 0.249836i \(-0.0803768\pi\)
\(14\) −62.3441 69.2401i −1.19015 1.32180i
\(15\) 6.33924 57.7478i 0.109119 0.994029i
\(16\) −53.4773 + 59.3925i −0.835582 + 0.928008i
\(17\) 11.2228 + 15.4469i 0.160114 + 0.220377i 0.881535 0.472119i \(-0.156511\pi\)
−0.721421 + 0.692497i \(0.756511\pi\)
\(18\) −78.0976 53.4257i −1.02265 0.699587i
\(19\) −54.4316 + 39.5469i −0.657235 + 0.477509i −0.865728 0.500515i \(-0.833144\pi\)
0.208493 + 0.978024i \(0.433144\pi\)
\(20\) 3.40344 47.7525i 0.0380516 0.533889i
\(21\) −85.4065 + 108.580i −0.887487 + 1.12829i
\(22\) 30.7577 + 69.0830i 0.298071 + 0.669480i
\(23\) −62.9364 + 56.6682i −0.570572 + 0.513745i −0.903147 0.429332i \(-0.858749\pi\)
0.332575 + 0.943077i \(0.392082\pi\)
\(24\) 57.3006 + 36.0671i 0.487351 + 0.306757i
\(25\) −69.6213 103.817i −0.556971 0.830532i
\(26\) −146.425 −1.10448
\(27\) −58.3211 + 127.600i −0.415700 + 0.909502i
\(28\) −66.9130 + 92.0979i −0.451620 + 0.621602i
\(29\) −11.3622 + 108.104i −0.0727552 + 0.692219i 0.895975 + 0.444104i \(0.146478\pi\)
−0.968731 + 0.248115i \(0.920189\pi\)
\(30\) −202.577 + 20.3466i −1.23285 + 0.123825i
\(31\) −26.1215 248.530i −0.151341 1.43991i −0.761774 0.647843i \(-0.775671\pi\)
0.610433 0.792068i \(-0.290995\pi\)
\(32\) 152.286 + 87.9225i 0.841271 + 0.485708i
\(33\) 93.1581 62.3926i 0.491416 0.329126i
\(34\) 44.7741 49.7267i 0.225844 0.250825i
\(35\) 9.97570 + 297.072i 0.0481772 + 1.43469i
\(36\) −44.0110 + 106.908i −0.203755 + 0.494944i
\(37\) −178.573 + 58.0218i −0.793437 + 0.257803i −0.677567 0.735461i \(-0.736966\pi\)
−0.115870 + 0.993264i \(0.536966\pi\)
\(38\) 175.227 + 157.775i 0.748040 + 0.673539i
\(39\) 36.9984 + 213.927i 0.151910 + 0.878351i
\(40\) 144.291 20.0817i 0.570359 0.0793801i
\(41\) −460.124 97.8023i −1.75266 0.372540i −0.783971 0.620798i \(-0.786809\pi\)
−0.968694 + 0.248257i \(0.920142\pi\)
\(42\) 434.440 + 213.656i 1.59608 + 0.784948i
\(43\) −130.968 + 75.6143i −0.464475 + 0.268165i −0.713924 0.700223i \(-0.753084\pi\)
0.249449 + 0.968388i \(0.419750\pi\)
\(44\) 74.7491 54.3084i 0.256110 0.186075i
\(45\) 80.9130 + 290.823i 0.268040 + 0.963408i
\(46\) 240.115 + 174.454i 0.769632 + 0.559170i
\(47\) 324.502 + 34.1066i 1.00710 + 0.105850i 0.593688 0.804696i \(-0.297672\pi\)
0.413408 + 0.910546i \(0.364338\pi\)
\(48\) 143.312 389.767i 0.430944 1.17204i
\(49\) 181.904 315.068i 0.530333 0.918564i
\(50\) −305.152 + 314.305i −0.863100 + 0.888989i
\(51\) −83.9638 52.8499i −0.230535 0.145107i
\(52\) 37.1966 + 174.996i 0.0991969 + 0.466685i
\(53\) −128.367 + 176.682i −0.332690 + 0.457909i −0.942289 0.334802i \(-0.891331\pi\)
0.609599 + 0.792710i \(0.291331\pi\)
\(54\) 479.903 + 106.949i 1.20938 + 0.269518i
\(55\) 66.8073 231.813i 0.163787 0.568320i
\(56\) −316.469 140.901i −0.755177 0.336226i
\(57\) 186.232 295.871i 0.432756 0.687529i
\(58\) 378.856 39.8194i 0.857694 0.0901472i
\(59\) −720.040 153.049i −1.58883 0.337717i −0.673116 0.739537i \(-0.735044\pi\)
−0.915719 + 0.401820i \(0.868378\pi\)
\(60\) 75.7775 + 236.936i 0.163047 + 0.509805i
\(61\) −448.140 + 95.2551i −0.940630 + 0.199937i −0.652616 0.757689i \(-0.726328\pi\)
−0.288014 + 0.957626i \(0.592995\pi\)
\(62\) −832.921 + 270.632i −1.70615 + 0.554360i
\(63\) 202.377 688.700i 0.404716 1.37727i
\(64\) −7.13968 + 21.9737i −0.0139447 + 0.0429173i
\(65\) 357.440 + 300.745i 0.682077 + 0.573889i
\(66\) −281.759 273.882i −0.525487 0.510796i
\(67\) 279.089 29.3334i 0.508897 0.0534872i 0.153399 0.988164i \(-0.450978\pi\)
0.355498 + 0.934677i \(0.384311\pi\)
\(68\) −70.8034 40.8784i −0.126267 0.0729005i
\(69\) 194.204 394.888i 0.338833 0.688969i
\(70\) 1011.09 250.654i 1.72640 0.427985i
\(71\) −0.167489 0.121688i −0.000279962 0.000203404i 0.587645 0.809119i \(-0.300055\pi\)
−0.587925 + 0.808915i \(0.700055\pi\)
\(72\) −346.061 63.3619i −0.566441 0.103712i
\(73\) −579.386 188.254i −0.928932 0.301828i −0.194806 0.980842i \(-0.562408\pi\)
−0.734126 + 0.679014i \(0.762408\pi\)
\(74\) 329.012 + 569.866i 0.516850 + 0.895211i
\(75\) 536.303 + 366.407i 0.825692 + 0.564121i
\(76\) 144.047 249.497i 0.217412 0.376569i
\(77\) −426.316 + 383.857i −0.630951 + 0.568111i
\(78\) 706.377 282.705i 1.02540 0.410385i
\(79\) −76.4558 + 727.428i −0.108885 + 1.03598i 0.794535 + 0.607219i \(0.207715\pi\)
−0.903420 + 0.428757i \(0.858952\pi\)
\(80\) −304.484 840.060i −0.425529 1.17402i
\(81\) 34.9917 728.160i 0.0479996 0.998847i
\(82\) 1648.56i 2.22015i
\(83\) −243.607 + 547.150i −0.322161 + 0.723585i −0.999932 0.0116884i \(-0.996279\pi\)
0.677771 + 0.735273i \(0.262946\pi\)
\(84\) 144.984 573.483i 0.188322 0.744906i
\(85\) −211.433 + 29.4262i −0.269801 + 0.0375497i
\(86\) 354.633 + 393.859i 0.444663 + 0.493848i
\(87\) −153.904 543.445i −0.189658 0.669694i
\(88\) 208.944 + 188.134i 0.253108 + 0.227900i
\(89\) −8.75652 + 26.9498i −0.0104291 + 0.0320974i −0.956136 0.292924i \(-0.905372\pi\)
0.945707 + 0.325022i \(0.105372\pi\)
\(90\) 937.979 489.273i 1.09857 0.573043i
\(91\) −343.255 1056.43i −0.395416 1.21697i
\(92\) 147.497 331.283i 0.167148 0.375420i
\(93\) 605.852 + 1148.51i 0.675527 + 1.28059i
\(94\) −119.528 1137.24i −0.131153 1.24784i
\(95\) −103.692 745.045i −0.111985 0.804632i
\(96\) −904.404 130.130i −0.961514 0.138347i
\(97\) 1726.18 + 181.429i 1.80687 + 0.189910i 0.947137 0.320828i \(-0.103961\pi\)
0.859736 + 0.510738i \(0.170628\pi\)
\(98\) −1212.59 393.993i −1.24990 0.406116i
\(99\) −328.946 + 480.852i −0.333942 + 0.488156i
\(100\) 453.151 + 284.850i 0.453151 + 0.284850i
\(101\) −633.197 1096.73i −0.623817 1.08048i −0.988768 0.149456i \(-0.952248\pi\)
0.364952 0.931026i \(-0.381085\pi\)
\(102\) −119.989 + 326.335i −0.116477 + 0.316784i
\(103\) −655.021 1471.20i −0.626613 1.40740i −0.895865 0.444326i \(-0.853443\pi\)
0.269252 0.963070i \(-0.413223\pi\)
\(104\) −497.351 + 221.435i −0.468935 + 0.208783i
\(105\) −621.684 1413.86i −0.577810 1.31408i
\(106\) 699.195 + 311.302i 0.640678 + 0.285248i
\(107\) 1565.73i 1.41463i −0.706900 0.707313i \(-0.749907\pi\)
0.706900 0.707313i \(-0.250093\pi\)
\(108\) 5.90733 600.711i 0.00526327 0.535217i
\(109\) −76.5761 235.677i −0.0672905 0.207099i 0.911757 0.410729i \(-0.134726\pi\)
−0.979048 + 0.203631i \(0.934726\pi\)
\(110\) −843.327 60.1061i −0.730982 0.0520990i
\(111\) 749.437 624.677i 0.640841 0.534160i
\(112\) −441.762 + 2078.33i −0.372701 + 1.75342i
\(113\) 344.477 1620.64i 0.286776 1.34918i −0.564923 0.825144i \(-0.691094\pi\)
0.851699 0.524031i \(-0.175573\pi\)
\(114\) −1149.94 422.817i −0.944749 0.347372i
\(115\) −227.835 919.035i −0.184745 0.745222i
\(116\) −143.830 442.663i −0.115123 0.354313i
\(117\) −591.516 960.580i −0.467399 0.759023i
\(118\) 2579.80i 2.01262i
\(119\) 463.729 + 206.465i 0.357226 + 0.159047i
\(120\) −657.307 + 375.461i −0.500031 + 0.285623i
\(121\) −790.580 + 351.989i −0.593974 + 0.264454i
\(122\) 653.065 + 1466.81i 0.484637 + 1.08851i
\(123\) 2408.53 416.553i 1.76561 0.305361i
\(124\) 535.026 + 926.692i 0.387474 + 0.671124i
\(125\) 1390.46 140.498i 0.994934 0.100532i
\(126\) −2508.31 191.930i −1.77347 0.135702i
\(127\) 2381.44 + 773.778i 1.66393 + 0.540643i 0.981690 0.190487i \(-0.0610066\pi\)
0.682239 + 0.731130i \(0.261007\pi\)
\(128\) 1479.58 + 155.510i 1.02170 + 0.107385i
\(129\) 485.818 617.635i 0.331581 0.421549i
\(130\) 770.500 1444.43i 0.519826 0.974500i
\(131\) 217.716 + 2071.43i 0.145205 + 1.38154i 0.788084 + 0.615568i \(0.211073\pi\)
−0.642878 + 0.765968i \(0.722260\pi\)
\(132\) −255.747 + 406.311i −0.168636 + 0.267915i
\(133\) −727.541 + 1634.08i −0.474330 + 1.06536i
\(134\) −303.909 935.336i −0.195923 0.602990i
\(135\) −951.831 1246.75i −0.606819 0.794840i
\(136\) 76.8802 236.613i 0.0484737 0.149187i
\(137\) −448.929 404.218i −0.279961 0.252078i 0.517173 0.855881i \(-0.326985\pi\)
−0.797133 + 0.603803i \(0.793651\pi\)
\(138\) −1495.17 377.998i −0.922300 0.233169i
\(139\) −489.300 543.423i −0.298575 0.331601i 0.575126 0.818065i \(-0.304953\pi\)
−0.873701 + 0.486464i \(0.838286\pi\)
\(140\) −556.409 1144.70i −0.335894 0.691032i
\(141\) −1631.30 + 461.985i −0.974325 + 0.275930i
\(142\) −0.295104 + 0.662815i −0.000174399 + 0.000391706i
\(143\) 901.552i 0.527214i
\(144\) 61.1688 + 2156.99i 0.0353986 + 1.24826i
\(145\) −1006.61 680.932i −0.576515 0.389989i
\(146\) −223.167 + 2123.29i −0.126503 + 1.20360i
\(147\) −269.228 + 1871.14i −0.151058 + 1.04985i
\(148\) 597.480 537.973i 0.331841 0.298791i
\(149\) 1241.67 2150.63i 0.682693 1.18246i −0.291463 0.956582i \(-0.594142\pi\)
0.974156 0.225877i \(-0.0725247\pi\)
\(150\) 865.264 2105.41i 0.470990 1.14604i
\(151\) 825.341 + 1429.53i 0.444803 + 0.770422i 0.998038 0.0626034i \(-0.0199403\pi\)
−0.553235 + 0.833025i \(0.686607\pi\)
\(152\) 833.776 + 270.910i 0.444922 + 0.144564i
\(153\) 507.091 + 92.8456i 0.267947 + 0.0490596i
\(154\) 1626.48 + 1181.71i 0.851077 + 0.618343i
\(155\) 2589.10 + 1050.10i 1.34169 + 0.544168i
\(156\) −517.308 772.391i −0.265499 0.396415i
\(157\) 1037.94 + 599.252i 0.527620 + 0.304621i 0.740047 0.672556i \(-0.234803\pi\)
−0.212427 + 0.977177i \(0.568137\pi\)
\(158\) 2549.32 267.944i 1.28362 0.134914i
\(159\) 278.139 1100.18i 0.138729 0.548741i
\(160\) −1668.66 + 1039.59i −0.824496 + 0.513668i
\(161\) −695.764 + 2141.34i −0.340583 + 1.04821i
\(162\) −2521.61 + 410.615i −1.22294 + 0.199142i
\(163\) 1378.90 448.033i 0.662601 0.215292i 0.0416389 0.999133i \(-0.486742\pi\)
0.620962 + 0.783841i \(0.286742\pi\)
\(164\) 1970.22 418.784i 0.938102 0.199400i
\(165\) 125.275 + 1247.28i 0.0591070 + 0.588490i
\(166\) 2053.12 + 436.404i 0.959958 + 0.204045i
\(167\) −1853.78 + 194.841i −0.858983 + 0.0902827i −0.523770 0.851860i \(-0.675475\pi\)
−0.335213 + 0.942142i \(0.608808\pi\)
\(168\) 1798.73 + 68.7168i 0.826041 + 0.0315573i
\(169\) 412.296 + 183.566i 0.187663 + 0.0835530i
\(170\) 254.930 + 703.345i 0.115013 + 0.317318i
\(171\) −327.169 + 1786.89i −0.146311 + 0.799103i
\(172\) 380.622 523.881i 0.168733 0.232242i
\(173\) −154.233 725.611i −0.0677812 0.318885i 0.931175 0.364574i \(-0.118785\pi\)
−0.998956 + 0.0456883i \(0.985452\pi\)
\(174\) −1750.78 + 923.556i −0.762793 + 0.402383i
\(175\) −2982.99 1464.80i −1.28853 0.632736i
\(176\) 862.255 1493.47i 0.369289 0.639628i
\(177\) 3769.07 651.857i 1.60057 0.276817i
\(178\) 98.7636 + 10.3805i 0.0415879 + 0.00437107i
\(179\) 91.5633 + 66.5246i 0.0382333 + 0.0277781i 0.606738 0.794902i \(-0.292478\pi\)
−0.568504 + 0.822680i \(0.692478\pi\)
\(180\) −823.016 996.708i −0.340800 0.412723i
\(181\) −1515.55 + 1101.11i −0.622374 + 0.452181i −0.853750 0.520683i \(-0.825677\pi\)
0.231376 + 0.972864i \(0.425677\pi\)
\(182\) −3371.31 + 1946.42i −1.37307 + 0.792739i
\(183\) 1977.98 1324.75i 0.798998 0.535129i
\(184\) 1079.40 + 229.434i 0.432470 + 0.0919243i
\(185\) 367.299 2066.87i 0.145969 0.821400i
\(186\) 3495.62 2913.70i 1.37802 1.14862i
\(187\) −306.171 275.677i −0.119730 0.107805i
\(188\) −1328.77 + 431.744i −0.515482 + 0.167490i
\(189\) 353.385 + 3713.12i 0.136005 + 1.42904i
\(190\) −2478.44 + 898.323i −0.946343 + 0.343006i
\(191\) −2210.30 + 2454.79i −0.837339 + 0.929959i −0.998375 0.0569892i \(-0.981850\pi\)
0.161036 + 0.986949i \(0.448517\pi\)
\(192\) −7.98197 119.789i −0.00300026 0.0450261i
\(193\) −1263.70 729.595i −0.471310 0.272111i 0.245478 0.969402i \(-0.421055\pi\)
−0.716788 + 0.697291i \(0.754388\pi\)
\(194\) −635.827 6049.49i −0.235308 2.23881i
\(195\) −2304.99 760.721i −0.846482 0.279366i
\(196\) −162.835 + 1549.27i −0.0593423 + 0.564604i
\(197\) −2179.51 + 2999.84i −0.788243 + 1.08492i 0.206082 + 0.978535i \(0.433929\pi\)
−0.994325 + 0.106389i \(0.966071\pi\)
\(198\) 1888.03 + 777.251i 0.677660 + 0.278974i
\(199\) −1298.51 −0.462558 −0.231279 0.972887i \(-0.574291\pi\)
−0.231279 + 0.972887i \(0.574291\pi\)
\(200\) −561.169 + 1529.04i −0.198403 + 0.540599i
\(201\) −1289.73 + 680.348i −0.452589 + 0.238746i
\(202\) −3298.19 + 2969.71i −1.14881 + 1.03439i
\(203\) 1175.41 + 2640.02i 0.406393 + 0.912774i
\(204\) 420.490 + 60.5022i 0.144315 + 0.0207647i
\(205\) 3385.98 4024.30i 1.15360 1.37107i
\(206\) −4565.97 + 3317.37i −1.54430 + 1.12200i
\(207\) −174.456 + 2279.95i −0.0585775 + 0.765542i
\(208\) 1962.73 + 2701.46i 0.654282 + 0.900542i
\(209\) 971.431 1078.88i 0.321509 0.357071i
\(210\) −4393.68 + 3161.31i −1.44378 + 1.03881i
\(211\) 1316.74 + 1462.39i 0.429613 + 0.477133i 0.918618 0.395148i \(-0.129307\pi\)
−0.489005 + 0.872281i \(0.662640\pi\)
\(212\) 194.426 914.703i 0.0629870 0.296331i
\(213\) 1.04293 + 0.263667i 0.000335496 + 8.48177e-5i
\(214\) −5367.30 + 1140.85i −1.71449 + 0.364426i
\(215\) −56.7449 1689.84i −0.0179999 0.536027i
\(216\) 1791.78 362.477i 0.564423 0.114183i
\(217\) −3905.11 5374.92i −1.22164 1.68144i
\(218\) −752.099 + 434.225i −0.233663 + 0.134906i
\(219\) 3158.51 210.463i 0.974576 0.0649395i
\(220\) 142.397 + 1023.15i 0.0436382 + 0.313548i
\(221\) 728.779 324.473i 0.221823 0.0987622i
\(222\) −2687.45 2113.89i −0.812476 0.639076i
\(223\) 1128.63 + 5309.81i 0.338919 + 1.59449i 0.736182 + 0.676784i \(0.236627\pi\)
−0.397263 + 0.917705i \(0.630040\pi\)
\(224\) 4674.99 1.39447
\(225\) −3294.63 732.155i −0.976186 0.216935i
\(226\) −5806.51 −1.70904
\(227\) −661.654 3112.84i −0.193461 0.910160i −0.962568 0.271041i \(-0.912632\pi\)
0.769107 0.639120i \(-0.220701\pi\)
\(228\) −213.198 + 1481.72i −0.0619270 + 0.430392i
\(229\) 1858.76 827.574i 0.536377 0.238811i −0.120626 0.992698i \(-0.538490\pi\)
0.657004 + 0.753887i \(0.271824\pi\)
\(230\) −2984.42 + 1450.66i −0.855596 + 0.415885i
\(231\) 1315.49 2674.87i 0.374689 0.761878i
\(232\) 1226.61 708.183i 0.347116 0.200407i
\(233\) −2665.33 3668.52i −0.749407 1.03147i −0.998022 0.0628677i \(-0.979975\pi\)
0.248615 0.968602i \(-0.420025\pi\)
\(234\) −2861.84 + 2727.62i −0.799507 + 0.762009i
\(235\) −2044.00 + 3021.62i −0.567387 + 0.838760i
\(236\) 3083.17 655.348i 0.850412 0.180761i
\(237\) −1035.62 3656.83i −0.283843 1.00226i
\(238\) 369.867 1740.09i 0.100735 0.473921i
\(239\) 1228.23 + 1364.09i 0.332417 + 0.369186i 0.886062 0.463566i \(-0.153430\pi\)
−0.553646 + 0.832752i \(0.686764\pi\)
\(240\) 3090.78 + 3464.70i 0.831289 + 0.931856i
\(241\) 3220.50 3576.72i 0.860790 0.956004i −0.138620 0.990346i \(-0.544267\pi\)
0.999410 + 0.0343416i \(0.0109334\pi\)
\(242\) 1782.66 + 2453.62i 0.473527 + 0.651754i
\(243\) 1237.06 + 3580.31i 0.326574 + 0.945172i
\(244\) 1587.11 1153.11i 0.416412 0.302541i
\(245\) 2150.83 + 3452.32i 0.560863 + 0.900248i
\(246\) −3182.89 7952.87i −0.824932 2.06121i
\(247\) 1143.38 + 2568.07i 0.294540 + 0.661548i
\(248\) −2419.84 + 2178.83i −0.619597 + 0.557887i
\(249\) 118.806 3109.86i 0.0302371 0.791485i
\(250\) −1494.77 4664.10i −0.378150 1.17993i
\(251\) 1655.51 0.416313 0.208157 0.978096i \(-0.433254\pi\)
0.208157 + 0.978096i \(0.433254\pi\)
\(252\) 407.808 + 3046.49i 0.101942 + 0.761550i
\(253\) 1074.13 1478.41i 0.266916 0.367378i
\(254\) 917.280 8727.34i 0.226596 2.15591i
\(255\) 963.167 550.171i 0.236533 0.135110i
\(256\) −525.675 5001.46i −0.128339 1.22106i
\(257\) −6747.06 3895.41i −1.63763 0.945484i −0.981648 0.190704i \(-0.938923\pi\)
−0.655978 0.754780i \(-0.727744\pi\)
\(258\) −2471.23 1215.34i −0.596325 0.293271i
\(259\) −3340.18 + 3709.65i −0.801347 + 0.889986i
\(260\) −1922.00 553.911i −0.458452 0.132124i
\(261\) 1791.69 + 2324.51i 0.424915 + 0.551278i
\(262\) 6942.16 2255.65i 1.63698 0.531887i
\(263\) 2422.00 + 2180.78i 0.567860 + 0.511304i 0.902297 0.431115i \(-0.141880\pi\)
−0.334437 + 0.942418i \(0.608546\pi\)
\(264\) −1371.21 504.176i −0.319667 0.117537i
\(265\) −1067.43 2196.00i −0.247439 0.509055i
\(266\) 6131.72 + 1303.34i 1.41338 + 0.300424i
\(267\) −9.78955 146.916i −0.00224386 0.0336746i
\(268\) −1040.64 + 600.812i −0.237190 + 0.136942i
\(269\) 5310.81 3858.53i 1.20374 0.874567i 0.209091 0.977896i \(-0.432949\pi\)
0.994647 + 0.103329i \(0.0329495\pi\)
\(270\) −3580.30 + 4171.29i −0.807000 + 0.940209i
\(271\) −568.281 412.880i −0.127382 0.0925487i 0.522270 0.852780i \(-0.325085\pi\)
−0.649652 + 0.760232i \(0.725085\pi\)
\(272\) −1517.59 159.505i −0.338300 0.0355568i
\(273\) 3695.57 + 4433.64i 0.819289 + 0.982916i
\(274\) −1058.54 + 1833.45i −0.233390 + 0.404243i
\(275\) 1935.20 + 1878.84i 0.424352 + 0.411994i
\(276\) −71.9337 + 1882.93i −0.0156880 + 0.410649i
\(277\) −827.686 3893.96i −0.179534 0.844639i −0.972047 0.234785i \(-0.924561\pi\)
0.792514 0.609854i \(-0.208772\pi\)
\(278\) −1506.32 + 2073.27i −0.324975 + 0.447289i
\(279\) −5140.16 4370.85i −1.10299 0.937906i
\(280\) 3055.21 2380.41i 0.652085 0.508060i
\(281\) 4551.79 + 2026.59i 0.966324 + 0.430235i 0.828356 0.560202i \(-0.189276\pi\)
0.137967 + 0.990437i \(0.455943\pi\)
\(282\) 2772.30 + 5255.42i 0.585418 + 1.10977i
\(283\) −4858.81 + 510.681i −1.02059 + 0.107268i −0.600013 0.799990i \(-0.704838\pi\)
−0.420574 + 0.907258i \(0.638171\pi\)
\(284\) 0.867110 + 0.184310i 0.000181174 + 3.85098e-5i
\(285\) 1938.69 + 3394.00i 0.402941 + 0.705416i
\(286\) 3090.50 656.906i 0.638969 0.135817i
\(287\) −11894.0 + 3864.59i −2.44627 + 0.794842i
\(288\) 4614.22 1118.38i 0.944081 0.228823i
\(289\) 1405.55 4325.83i 0.286087 0.880486i
\(290\) −1600.76 + 3946.80i −0.324138 + 0.799187i
\(291\) −8677.61 + 2457.51i −1.74808 + 0.495058i
\(292\) 2594.28 272.670i 0.519928 0.0546466i
\(293\) 619.272 + 357.537i 0.123475 + 0.0712884i 0.560465 0.828178i \(-0.310622\pi\)
−0.436990 + 0.899466i \(0.643956\pi\)
\(294\) 6610.38 440.474i 1.31131 0.0873774i
\(295\) 5298.67 6297.56i 1.04576 1.24291i
\(296\) 1979.32 + 1438.06i 0.388667 + 0.282383i
\(297\) 658.495 2954.80i 0.128652 0.577289i
\(298\) −8277.03 2689.37i −1.60898 0.522789i
\(299\) 1769.22 + 3064.38i 0.342196 + 0.592701i
\(300\) −2736.03 499.256i −0.526549 0.0960818i
\(301\) −2010.27 + 3481.90i −0.384951 + 0.666755i
\(302\) 4299.03 3870.86i 0.819143 0.737560i
\(303\) 5172.10 + 4068.26i 0.980625 + 0.771338i
\(304\) 562.065 5347.69i 0.106042 1.00892i
\(305\) 1418.49 4921.97i 0.266303 0.924036i
\(306\) −51.2139 1805.95i −0.00956767 0.337383i
\(307\) 4924.39i 0.915471i 0.889088 + 0.457736i \(0.151339\pi\)
−0.889088 + 0.457736i \(0.848661\pi\)
\(308\) 999.109 2244.04i 0.184836 0.415149i
\(309\) 6000.38 + 5832.63i 1.10469 + 1.07381i
\(310\) 1713.20 9640.53i 0.313881 1.76627i
\(311\) 2310.58 + 2566.16i 0.421290 + 0.467890i 0.916006 0.401165i \(-0.131395\pi\)
−0.494716 + 0.869055i \(0.664728\pi\)
\(312\) 1971.76 2028.47i 0.357786 0.368076i
\(313\) −7620.15 6861.21i −1.37609 1.23904i −0.940894 0.338702i \(-0.890012\pi\)
−0.435196 0.900336i \(-0.643321\pi\)
\(314\) 1297.94 3994.66i 0.233271 0.717935i
\(315\) 5728.84 + 5620.35i 1.02471 + 1.00530i
\(316\) −967.830 2978.68i −0.172293 0.530264i
\(317\) 3341.32 7504.73i 0.592010 1.32968i −0.330537 0.943793i \(-0.607230\pi\)
0.922547 0.385884i \(-0.126103\pi\)
\(318\) −3974.05 151.821i −0.700798 0.0267726i
\(319\) −245.171 2332.64i −0.0430311 0.409413i
\(320\) −179.192 186.057i −0.0313036 0.0325029i
\(321\) 3022.98 + 7553.32i 0.525626 + 1.31335i
\(322\) 7847.43 + 824.798i 1.35814 + 0.142746i
\(323\) −1221.75 396.971i −0.210464 0.0683840i
\(324\) 1131.30 + 2909.32i 0.193982 + 0.498855i
\(325\) −4847.60 + 1943.47i −0.827374 + 0.331706i
\(326\) −2540.57 4400.39i −0.431623 0.747593i
\(327\) 824.438 + 989.094i 0.139424 + 0.167269i
\(328\) 2493.06 + 5599.51i 0.419684 + 0.942625i
\(329\) 7924.73 3528.32i 1.32798 0.591253i
\(330\) 4184.38 1338.26i 0.698007 0.223239i
\(331\) −1189.56 529.626i −0.197535 0.0879483i 0.305585 0.952165i \(-0.401148\pi\)
−0.503120 + 0.864217i \(0.667815\pi\)
\(332\) 2564.59i 0.423946i
\(333\) −2409.32 + 4460.48i −0.396486 + 0.734032i
\(334\) 2018.65 + 6212.76i 0.330705 + 1.01781i
\(335\) −1179.22 + 2907.46i −0.192321 + 0.474183i
\(336\) −1881.52 10879.1i −0.305493 1.76637i
\(337\) 305.177 1435.74i 0.0493295 0.232077i −0.946576 0.322482i \(-0.895483\pi\)
0.995905 + 0.0904050i \(0.0288161\pi\)
\(338\) 328.845 1547.09i 0.0529196 0.248967i
\(339\) 1467.18 + 8483.27i 0.235062 + 1.35914i
\(340\) 775.822 483.344i 0.123750 0.0770971i
\(341\) 1666.30 + 5128.35i 0.264620 + 0.814416i
\(342\) 6363.80 180.467i 1.00618 0.0285338i
\(343\) 553.216i 0.0870870i
\(344\) 1800.17 + 801.488i 0.282147 + 0.125620i
\(345\) 2873.50 + 3993.68i 0.448417 + 0.623224i
\(346\) −2375.00 + 1057.42i −0.369019 + 0.164298i
\(347\) −1270.95 2854.59i −0.196622 0.441621i 0.788147 0.615487i \(-0.211041\pi\)
−0.984769 + 0.173866i \(0.944374\pi\)
\(348\) 1548.51 + 1857.78i 0.238531 + 0.286170i
\(349\) −557.946 966.391i −0.0855764 0.148223i 0.820060 0.572277i \(-0.193940\pi\)
−0.905637 + 0.424054i \(0.860607\pi\)
\(350\) −2847.79 + 11292.9i −0.434917 + 1.72467i
\(351\) 4708.16 + 3491.93i 0.715963 + 0.531012i
\(352\) −3608.64 1172.52i −0.546424 0.177544i
\(353\) 2989.15 + 314.173i 0.450699 + 0.0473703i 0.327159 0.944969i \(-0.393909\pi\)
0.123540 + 0.992340i \(0.460575\pi\)
\(354\) −4980.84 12445.3i −0.747822 1.86853i
\(355\) 2.08174 1.01188i 0.000311232 0.000151282i
\(356\) −12.6831 120.671i −0.00188821 0.0179651i
\(357\) −2635.72 100.692i −0.390748 0.0149277i
\(358\) 161.328 362.349i 0.0238169 0.0534937i
\(359\) 958.274 + 2949.26i 0.140880 + 0.433583i 0.996458 0.0840903i \(-0.0267984\pi\)
−0.855579 + 0.517673i \(0.826798\pi\)
\(360\) 2446.04 3080.35i 0.358104 0.450968i
\(361\) −720.704 + 2218.10i −0.105074 + 0.323385i
\(362\) 4878.86 + 4392.95i 0.708363 + 0.637813i
\(363\) 3134.28 3224.43i 0.453188 0.466222i
\(364\) 3182.63 + 3534.67i 0.458283 + 0.508975i
\(365\) 4905.82 4724.82i 0.703514 0.677557i
\(366\) −5982.46 5815.21i −0.854394 0.830508i
\(367\) −672.678 + 1510.86i −0.0956771 + 0.214894i −0.955043 0.296466i \(-0.904192\pi\)
0.859366 + 0.511361i \(0.170858\pi\)
\(368\) 6768.41i 0.958771i
\(369\) −10814.9 + 6659.69i −1.52574 + 0.939538i
\(370\) −7352.80 + 246.908i −1.03312 + 0.0346922i
\(371\) −606.905 + 5774.31i −0.0849297 + 0.808052i
\(372\) −4370.21 3437.51i −0.609100 0.479104i
\(373\) 1329.51 1197.10i 0.184556 0.166175i −0.571674 0.820481i \(-0.693706\pi\)
0.756230 + 0.654306i \(0.227039\pi\)
\(374\) −721.928 + 1250.42i −0.0998129 + 0.172881i
\(375\) −6436.53 + 3362.36i −0.886349 + 0.463018i
\(376\) −2125.80 3682.00i −0.291569 0.505012i
\(377\) 4319.32 + 1403.43i 0.590070 + 0.191725i
\(378\) 12471.0 3916.92i 1.69693 0.532975i
\(379\) −10850.2 7883.13i −1.47055 1.06842i −0.980455 0.196745i \(-0.936963\pi\)
−0.490092 0.871671i \(-0.663037\pi\)
\(380\) 1703.21 + 2733.84i 0.229928 + 0.369060i
\(381\) −12982.4 + 865.062i −1.74569 + 0.116322i
\(382\) 10025.5 + 5788.21i 1.34279 + 0.775263i
\(383\) −4226.98 + 444.274i −0.563939 + 0.0592724i −0.382209 0.924076i \(-0.624836\pi\)
−0.181730 + 0.983348i \(0.558170\pi\)
\(384\) −7437.96 + 2106.44i −0.988455 + 0.279932i
\(385\) −1543.30 6225.33i −0.204295 0.824083i
\(386\) −1580.26 + 4863.53i −0.208376 + 0.641314i
\(387\) −1151.18 + 3917.54i −0.151209 + 0.514573i
\(388\) −7068.36 + 2296.65i −0.924849 + 0.300502i
\(389\) −8474.47 + 1801.30i −1.10456 + 0.234781i −0.723879 0.689927i \(-0.757643\pi\)
−0.380678 + 0.924708i \(0.624309\pi\)
\(390\) −928.226 + 8455.76i −0.120519 + 1.09788i
\(391\) −1581.67 336.194i −0.204574 0.0434836i
\(392\) −4714.51 + 495.515i −0.607446 + 0.0638452i
\(393\) −5049.61 9572.51i −0.648141 1.22867i
\(394\) 11871.5 + 5285.52i 1.51796 + 0.675839i
\(395\) −6773.49 4581.98i −0.862813 0.583657i
\(396\) 449.291 2453.87i 0.0570144 0.311393i
\(397\) 8396.35 11556.6i 1.06146 1.46098i 0.183032 0.983107i \(-0.441409\pi\)
0.878430 0.477870i \(-0.158591\pi\)
\(398\) 946.147 + 4451.27i 0.119161 + 0.560608i
\(399\) 354.819 9287.73i 0.0445192 1.16533i
\(400\) 9889.08 + 1416.84i 1.23614 + 0.177105i
\(401\) 5081.79 8801.91i 0.632849 1.09613i −0.354118 0.935201i \(-0.615219\pi\)
0.986967 0.160925i \(-0.0514478\pi\)
\(402\) 3271.96 + 3925.43i 0.405947 + 0.487022i
\(403\) −10383.9 1091.39i −1.28352 0.134904i
\(404\) 4387.00 + 3187.34i 0.540251 + 0.392515i
\(405\) 6998.89 + 4176.80i 0.858710 + 0.512462i
\(406\) 8193.48 5952.91i 1.00157 0.727680i
\(407\) 3508.71 2025.75i 0.427322 0.246714i
\(408\) 85.9500 + 1289.89i 0.0104293 + 0.156517i
\(409\) −10499.8 2231.79i −1.26939 0.269817i −0.476495 0.879177i \(-0.658093\pi\)
−0.792893 + 0.609360i \(0.791426\pi\)
\(410\) −16262.4 8674.81i −1.95888 1.04492i
\(411\) 2946.13 + 1083.25i 0.353581 + 0.130007i
\(412\) 5124.56 + 4614.17i 0.612788 + 0.551757i
\(413\) −18612.7 + 6047.63i −2.21761 + 0.720544i
\(414\) 7942.72 1063.23i 0.942907 0.126219i
\(415\) −4115.55 5282.23i −0.486806 0.624806i
\(416\) 4916.14 5459.92i 0.579407 0.643497i
\(417\) 3409.64 + 1676.85i 0.400410 + 0.196920i
\(418\) −4406.21 2543.93i −0.515586 0.297674i
\(419\) 473.252 + 4502.69i 0.0551787 + 0.524990i 0.986844 + 0.161673i \(0.0516891\pi\)
−0.931666 + 0.363317i \(0.881644\pi\)
\(420\) 4894.28 + 4447.91i 0.568610 + 0.516752i
\(421\) −1435.53 + 13658.2i −0.166184 + 1.58114i 0.520293 + 0.853988i \(0.325823\pi\)
−0.686477 + 0.727151i \(0.740844\pi\)
\(422\) 4053.61 5579.32i 0.467599 0.643595i
\(423\) 6977.64 5378.24i 0.802044 0.618201i
\(424\) 2845.67 0.325938
\(425\) 822.293 2240.54i 0.0938520 0.255723i
\(426\) 0.143921 3.76728i 1.63686e−5 0.000428463i
\(427\) −9051.77 + 8150.25i −1.02587 + 0.923697i
\(428\) 2726.92 + 6124.76i 0.307968 + 0.691708i
\(429\) −1740.64 4349.21i −0.195894 0.489469i
\(430\) −5751.37 + 1425.80i −0.645013 + 0.159903i
\(431\) 10412.8 7565.34i 1.16373 0.845498i 0.173483 0.984837i \(-0.444498\pi\)
0.990245 + 0.139339i \(0.0444977\pi\)
\(432\) −4459.60 10287.5i −0.496673 1.14574i
\(433\) 5505.84 + 7578.14i 0.611071 + 0.841067i 0.996665 0.0816013i \(-0.0260034\pi\)
−0.385594 + 0.922669i \(0.626003\pi\)
\(434\) −15579.7 + 17303.0i −1.72316 + 1.91376i
\(435\) 6170.73 + 1341.44i 0.680147 + 0.147855i
\(436\) 710.007 + 788.543i 0.0779890 + 0.0866155i
\(437\) 1184.68 5573.48i 0.129682 0.610104i
\(438\) −3022.87 10673.9i −0.329768 1.16443i
\(439\) −6041.37 + 1284.13i −0.656809 + 0.139609i −0.524248 0.851566i \(-0.675653\pi\)
−0.132561 + 0.991175i \(0.542320\pi\)
\(440\) −2955.35 + 1071.18i −0.320206 + 0.116060i
\(441\) −2313.82 9546.43i −0.249846 1.03082i
\(442\) −1643.30 2261.81i −0.176842 0.243402i
\(443\) 8601.49 4966.07i 0.922504 0.532608i 0.0380707 0.999275i \(-0.487879\pi\)
0.884433 + 0.466667i \(0.154545\pi\)
\(444\) −1843.66 + 3748.82i −0.197063 + 0.400701i
\(445\) −219.772 228.191i −0.0234117 0.0243086i
\(446\) 17379.5 7737.87i 1.84517 0.821521i
\(447\) −1837.73 + 12772.2i −0.194456 + 1.35147i
\(448\) 127.710 + 600.830i 0.0134682 + 0.0633629i
\(449\) 567.415 0.0596391 0.0298196 0.999555i \(-0.490507\pi\)
0.0298196 + 0.999555i \(0.490507\pi\)
\(450\) −109.216 + 11827.4i −0.0114411 + 1.23900i
\(451\) 10150.3 1.05977
\(452\) 1475.03 + 6939.48i 0.153495 + 0.722137i
\(453\) −6741.57 5302.77i −0.699220 0.549991i
\(454\) −10188.6 + 4536.27i −1.05325 + 0.468938i
\(455\) 12227.5 + 2172.92i 1.25985 + 0.223886i
\(456\) −4545.30 + 302.870i −0.466784 + 0.0311035i
\(457\) −9710.14 + 5606.15i −0.993919 + 0.573840i −0.906443 0.422327i \(-0.861213\pi\)
−0.0874757 + 0.996167i \(0.527880\pi\)
\(458\) −4191.27 5768.79i −0.427610 0.588554i
\(459\) −2625.54 + 531.146i −0.266993 + 0.0540126i
\(460\) 2491.85 + 3198.24i 0.252572 + 0.324171i
\(461\) −9005.73 + 1914.23i −0.909845 + 0.193394i −0.638980 0.769224i \(-0.720643\pi\)
−0.270865 + 0.962617i \(0.587310\pi\)
\(462\) −10127.9 2560.47i −1.01990 0.257844i
\(463\) 1698.74 7991.96i 0.170512 0.802198i −0.806872 0.590727i \(-0.798841\pi\)
0.977384 0.211471i \(-0.0678255\pi\)
\(464\) −5812.93 6455.92i −0.581592 0.645923i
\(465\) −14517.6 67.0277i −1.44783 0.00668459i
\(466\) −10633.5 + 11809.7i −1.05706 + 1.17398i
\(467\) 3070.28 + 4225.88i 0.304231 + 0.418738i 0.933571 0.358392i \(-0.116675\pi\)
−0.629340 + 0.777130i \(0.716675\pi\)
\(468\) 3986.83 + 2727.35i 0.393785 + 0.269384i
\(469\) 6035.82 4385.28i 0.594261 0.431756i
\(470\) 11847.4 + 4805.12i 1.16272 + 0.471582i
\(471\) −6164.13 886.926i −0.603032 0.0867673i
\(472\) 3901.35 + 8762.58i 0.380454 + 0.854513i
\(473\) 2425.02 2183.50i 0.235735 0.212256i
\(474\) −11780.9 + 6214.59i −1.14160 + 0.602206i
\(475\) 7895.22 + 2897.59i 0.762647 + 0.279896i
\(476\) −2173.57 −0.209298
\(477\) 782.345 + 5844.43i 0.0750967 + 0.561002i
\(478\) 3781.12 5204.27i 0.361809 0.497987i
\(479\) 1864.61 17740.6i 0.177863 1.69225i −0.433700 0.901057i \(-0.642792\pi\)
0.611563 0.791195i \(-0.290541\pi\)
\(480\) 6042.72 8236.84i 0.574606 0.783247i
\(481\) 820.023 + 7802.00i 0.0777336 + 0.739586i
\(482\) −14607.5 8433.65i −1.38040 0.796975i
\(483\) −777.845 11673.5i −0.0732778 1.09971i
\(484\) 2479.52 2753.79i 0.232862 0.258620i
\(485\) −10873.0 + 16073.4i −1.01797 + 1.50486i
\(486\) 11371.8 6849.37i 1.06139 0.639287i
\(487\) 4657.89 1513.44i 0.433407 0.140822i −0.0841847 0.996450i \(-0.526829\pi\)
0.517592 + 0.855628i \(0.326829\pi\)
\(488\) 4436.42 + 3994.57i 0.411531 + 0.370544i
\(489\) −5787.00 + 4823.63i −0.535168 + 0.446078i
\(490\) 10267.3 9888.49i 0.946591 0.911666i
\(491\) 9202.95 + 1956.15i 0.845873 + 0.179796i 0.610408 0.792087i \(-0.291006\pi\)
0.235465 + 0.971883i \(0.424339\pi\)
\(492\) −8696.09 + 5824.21i −0.796850 + 0.533690i
\(493\) −1797.38 + 1037.72i −0.164198 + 0.0948000i
\(494\) 7970.17 5790.67i 0.725901 0.527398i
\(495\) −3012.49 5775.20i −0.273538 0.524396i
\(496\) 16157.7 + 11739.3i 1.46271 + 1.06272i
\(497\) −5.47386 0.575326i −0.000494037 5.19254e-5i
\(498\) −10747.1 + 1858.70i −0.967047 + 0.167250i
\(499\) −9693.22 + 16789.2i −0.869596 + 1.50618i −0.00718559 + 0.999974i \(0.502287\pi\)
−0.862410 + 0.506210i \(0.831046\pi\)
\(500\) −5194.45 + 2971.26i −0.464605 + 0.265757i
\(501\) 8566.74 4519.06i 0.763939 0.402987i
\(502\) −1206.27 5675.04i −0.107248 0.504560i
\(503\) 2942.40 4049.87i 0.260825 0.358995i −0.658440 0.752633i \(-0.728784\pi\)
0.919266 + 0.393638i \(0.128784\pi\)
\(504\) −8810.00 + 3141.32i −0.778628 + 0.277630i
\(505\) 14150.7 475.184i 1.24693 0.0418721i
\(506\) −5850.59 2604.85i −0.514013 0.228853i
\(507\) −2343.39 89.5244i −0.205273 0.00784205i
\(508\) −10663.2 + 1120.75i −0.931309 + 0.0978845i
\(509\) 3730.98 + 793.044i 0.324897 + 0.0690590i 0.367473 0.930034i \(-0.380223\pi\)
−0.0425757 + 0.999093i \(0.513556\pi\)
\(510\) −2587.78 2900.84i −0.224684 0.251865i
\(511\) −15842.3 + 3367.38i −1.37147 + 0.291515i
\(512\) −5442.53 + 1768.38i −0.469781 + 0.152641i
\(513\) −1871.65 9251.87i −0.161083 0.796257i
\(514\) −8437.22 + 25967.1i −0.724027 + 2.22833i
\(515\) 17959.6 + 1280.03i 1.53669 + 0.109524i
\(516\) −824.712 + 3262.15i −0.0703603 + 0.278310i
\(517\) −7002.05 + 735.945i −0.595648 + 0.0626051i
\(518\) 15150.4 + 8747.08i 1.28508 + 0.741939i
\(519\) 2144.99 + 3202.67i 0.181415 + 0.270870i
\(520\) 432.723 6071.38i 0.0364926 0.512015i
\(521\) −11334.0 8234.63i −0.953073 0.692448i −0.00154153 0.999999i \(-0.500491\pi\)
−0.951532 + 0.307551i \(0.900491\pi\)
\(522\) 6662.87 7835.61i 0.558671 0.657002i
\(523\) 7489.62 + 2433.53i 0.626192 + 0.203462i 0.604887 0.796311i \(-0.293218\pi\)
0.0213043 + 0.999773i \(0.493218\pi\)
\(524\) −4459.29 7723.72i −0.371766 0.643917i
\(525\) 17218.5 + 1307.13i 1.43138 + 0.108663i
\(526\) 5710.91 9891.58i 0.473398 0.819950i
\(527\) 3545.85 3192.69i 0.293092 0.263901i
\(528\) −1276.18 + 8869.48i −0.105187 + 0.731050i
\(529\) −522.091 + 4967.36i −0.0429104 + 0.408265i
\(530\) −6750.09 + 5259.20i −0.553217 + 0.431029i
\(531\) −16924.0 + 10421.6i −1.38312 + 0.851715i
\(532\) 7659.23i 0.624192i
\(533\) −7994.05 + 17954.9i −0.649645 + 1.45913i
\(534\) −496.492 + 140.607i −0.0402346 + 0.0113945i
\(535\) 15445.4 + 8238.99i 1.24815 + 0.665799i
\(536\) −2446.74 2717.38i −0.197170 0.218979i
\(537\) −570.154 144.142i −0.0458174 0.0115832i
\(538\) −17096.6 15393.9i −1.37005 1.23360i
\(539\) −2425.84 + 7465.98i −0.193856 + 0.596628i
\(540\) 5894.70 + 3219.25i 0.469755 + 0.256546i
\(541\) 5185.82 + 15960.3i 0.412118 + 1.26837i 0.914803 + 0.403899i \(0.132345\pi\)
−0.502685 + 0.864469i \(0.667655\pi\)
\(542\) −1001.27 + 2248.89i −0.0793512 + 0.178226i
\(543\) 5185.29 8237.99i 0.409801 0.651061i
\(544\) 350.952 + 3339.08i 0.0276598 + 0.263165i
\(545\) 2727.81 + 484.754i 0.214398 + 0.0381002i
\(546\) 12505.7 15898.8i 0.980208 1.24617i
\(547\) 4493.21 + 472.256i 0.351217 + 0.0369144i 0.278495 0.960438i \(-0.410165\pi\)
0.0727227 + 0.997352i \(0.476831\pi\)
\(548\) 2460.09 + 799.333i 0.191770 + 0.0623099i
\(549\) −6984.35 + 10209.7i −0.542960 + 0.793697i
\(550\) 5030.56 8002.81i 0.390007 0.620438i
\(551\) −3656.70 6333.60i −0.282724 0.489692i
\(552\) −5650.15 + 977.189i −0.435664 + 0.0753477i
\(553\) 7909.34 + 17764.7i 0.608208 + 1.36606i
\(554\) −12745.3 + 5674.58i −0.977430 + 0.435180i
\(555\) 2218.62 + 10680.0i 0.169685 + 0.816830i
\(556\) 2860.46 + 1273.56i 0.218184 + 0.0971418i
\(557\) 13829.2i 1.05200i −0.850485 0.525999i \(-0.823692\pi\)
0.850485 0.525999i \(-0.176308\pi\)
\(558\) −11237.8 + 20805.1i −0.852573 + 1.57841i
\(559\) 1952.54 + 6009.30i 0.147734 + 0.454680i
\(560\) −18177.3 15294.1i −1.37166 1.15410i
\(561\) 2009.27 + 738.780i 0.151214 + 0.0555995i
\(562\) 3630.48 17080.1i 0.272496 1.28199i
\(563\) 1410.81 6637.35i 0.105610 0.496858i −0.893269 0.449523i \(-0.851594\pi\)
0.998879 0.0473349i \(-0.0150728\pi\)
\(564\) 5576.62 4648.27i 0.416344 0.347035i
\(565\) 14174.3 + 11926.0i 1.05543 + 0.888022i
\(566\) 5290.92 + 16283.8i 0.392922 + 1.20929i
\(567\) −8873.73 17230.3i −0.657252 1.27620i
\(568\) 2.69760i 0.000199276i
\(569\) 4660.04 + 2074.79i 0.343338 + 0.152864i 0.571160 0.820839i \(-0.306494\pi\)
−0.227822 + 0.973703i \(0.573160\pi\)
\(570\) 10222.0 9118.80i 0.751142 0.670078i
\(571\) −17836.2 + 7941.17i −1.30722 + 0.582010i −0.937775 0.347244i \(-0.887117\pi\)
−0.369441 + 0.929254i \(0.620451\pi\)
\(572\) −1570.16 3526.65i −0.114776 0.257791i
\(573\) 5923.32 16109.7i 0.431851 1.17451i
\(574\) 21914.2 + 37956.4i 1.59352 + 2.76005i
\(575\) 10264.8 + 2588.52i 0.744474 + 0.187737i
\(576\) 269.784 + 562.468i 0.0195156 + 0.0406878i
\(577\) 12079.7 + 3924.94i 0.871553 + 0.283185i 0.710446 0.703752i \(-0.248493\pi\)
0.161107 + 0.986937i \(0.448493\pi\)
\(578\) −15853.0 1666.21i −1.14082 0.119906i
\(579\) 7504.89 + 1079.84i 0.538675 + 0.0775072i
\(580\) 5123.55 + 910.495i 0.366800 + 0.0651832i
\(581\) 1664.42 + 15835.9i 0.118850 + 1.13078i
\(582\) 14747.1 + 27956.0i 1.05032 + 1.99109i
\(583\) 1916.71 4305.00i 0.136161 0.305823i
\(584\) 2452.98 + 7549.49i 0.173810 + 0.534932i
\(585\) 12588.3 780.448i 0.889682 0.0551582i
\(586\) 774.402 2383.36i 0.0545909 0.168013i
\(587\) −9068.42 8165.24i −0.637638 0.574132i 0.285605 0.958347i \(-0.407805\pi\)
−0.923244 + 0.384215i \(0.874472\pi\)
\(588\) −2205.66 7788.31i −0.154694 0.546232i
\(589\) 11250.4 + 12494.8i 0.787037 + 0.874093i
\(590\) −25448.7 13575.1i −1.77578 0.947249i
\(591\) 4722.46 18679.7i 0.328690 1.30013i
\(592\) 6103.52 13708.7i 0.423738 0.951732i
\(593\) 2524.34i 0.174810i 0.996173 + 0.0874049i \(0.0278574\pi\)
−0.996173 + 0.0874049i \(0.972143\pi\)
\(594\) −10608.8 104.326i −0.732801 0.00720629i
\(595\) −4476.87 + 3488.07i −0.308460 + 0.240331i
\(596\) −1111.50 + 10575.2i −0.0763908 + 0.726810i
\(597\) 6264.21 2507.05i 0.429442 0.171871i
\(598\) 9215.49 8297.67i 0.630183 0.567420i
\(599\) −7681.46 + 13304.7i −0.523967 + 0.907537i 0.475644 + 0.879638i \(0.342215\pi\)
−0.999611 + 0.0278989i \(0.991118\pi\)
\(600\) −244.984 8459.79i −0.0166690 0.575615i
\(601\) −11144.4 19302.7i −0.756388 1.31010i −0.944681 0.327990i \(-0.893629\pi\)
0.188293 0.982113i \(-0.439705\pi\)
\(602\) 13400.6 + 4354.13i 0.907257 + 0.294786i
\(603\) 4908.28 5772.19i 0.331477 0.389820i
\(604\) −5718.23 4154.54i −0.385218 0.279877i
\(605\) 687.849 9650.96i 0.0462232 0.648541i
\(606\) 10177.3 20694.1i 0.682219 1.38720i
\(607\) 15819.4 + 9133.35i 1.05781 + 0.610727i 0.924826 0.380391i \(-0.124211\pi\)
0.132984 + 0.991118i \(0.457544\pi\)
\(608\) −11766.2 + 1236.68i −0.784843 + 0.0824903i
\(609\) −10767.5 10466.5i −0.716453 0.696424i
\(610\) −17906.0 1276.20i −1.18851 0.0847082i
\(611\) 4212.78 12965.6i 0.278938 0.858481i
\(612\) −2145.32 + 519.973i −0.141698 + 0.0343443i
\(613\) 14294.3 4644.51i 0.941832 0.306020i 0.202440 0.979295i \(-0.435113\pi\)
0.739392 + 0.673275i \(0.235113\pi\)
\(614\) 16880.7 3588.10i 1.10953 0.235837i
\(615\) −8564.71 + 25951.2i −0.561565 + 1.70155i
\(616\) 7311.60 + 1554.13i 0.478235 + 0.101652i
\(617\) −20566.4 + 2161.61i −1.34193 + 0.141043i −0.748120 0.663563i \(-0.769043\pi\)
−0.593810 + 0.804605i \(0.702377\pi\)
\(618\) 15622.0 24819.0i 1.01684 1.61548i
\(619\) 10506.9 + 4677.98i 0.682243 + 0.303754i 0.718439 0.695590i \(-0.244857\pi\)
−0.0361951 + 0.999345i \(0.511524\pi\)
\(620\) −11956.8 + 401.511i −0.774511 + 0.0260082i
\(621\) −3560.31 11335.6i −0.230065 0.732500i
\(622\) 7113.17 9790.44i 0.458540 0.631127i
\(623\) 156.631 + 736.893i 0.0100727 + 0.0473884i
\(624\) −14684.2 9242.78i −0.942050 0.592961i
\(625\) −5930.74 + 14455.7i −0.379568 + 0.925164i
\(626\) −17967.7 + 31121.0i −1.14718 + 1.98698i
\(627\) −2603.31 + 7080.24i −0.165815 + 0.450969i
\(628\) −5103.82 536.433i −0.324307 0.0340860i
\(629\) −2900.34 2107.22i −0.183854 0.133578i
\(630\) 15092.2 23733.5i 0.954424 1.50090i
\(631\) −1974.08 + 1434.26i −0.124544 + 0.0904863i −0.648313 0.761374i \(-0.724525\pi\)
0.523770 + 0.851860i \(0.324525\pi\)
\(632\) 8253.84 4765.36i 0.519494 0.299930i
\(633\) −9175.61 4512.53i −0.576142 0.283345i
\(634\) −28160.7 5985.73i −1.76404 0.374959i
\(635\) −20164.3 + 19420.4i −1.26015 + 1.21366i
\(636\) 828.088 + 4788.04i 0.0516286 + 0.298519i
\(637\) −11296.1 10171.1i −0.702620 0.632642i
\(638\) −7817.60 + 2540.09i −0.485113 + 0.157623i
\(639\) −5.54033 + 0.741638i −0.000342992 + 4.59135e-5i
\(640\) −9319.70 + 13777.2i −0.575615 + 0.850924i
\(641\) −2209.51 + 2453.91i −0.136147 + 0.151207i −0.807363 0.590056i \(-0.799106\pi\)
0.671216 + 0.741262i \(0.265773\pi\)
\(642\) 23689.9 15866.3i 1.45634 0.975381i
\(643\) −16638.8 9606.41i −1.02048 0.589175i −0.106238 0.994341i \(-0.533881\pi\)
−0.914243 + 0.405165i \(0.867214\pi\)
\(644\) −1007.76 9588.15i −0.0616632 0.586686i
\(645\) 3536.33 + 8042.45i 0.215880 + 0.490963i
\(646\) −470.592 + 4477.38i −0.0286613 + 0.272694i
\(647\) 19011.6 26167.2i 1.15521 1.59001i 0.427692 0.903924i \(-0.359327\pi\)
0.727519 0.686088i \(-0.240673\pi\)
\(648\) −7943.98 + 5208.06i −0.481588 + 0.315728i
\(649\) 15884.0 0.960711
\(650\) 10194.3 + 15201.4i 0.615161 + 0.917304i
\(651\) 29216.2 + 18389.8i 1.75895 + 1.10715i
\(652\) −4613.62 + 4154.12i −0.277122 + 0.249521i
\(653\) 3834.98 + 8613.51i 0.229823 + 0.516191i 0.991240 0.132071i \(-0.0421628\pi\)
−0.761417 + 0.648262i \(0.775496\pi\)
\(654\) 2789.87 3546.85i 0.166808 0.212068i
\(655\) −21579.5 8752.30i −1.28730 0.522108i
\(656\) 30414.9 22097.7i 1.81022 1.31520i
\(657\) −14830.7 + 7113.46i −0.880673 + 0.422409i
\(658\) −17869.3 24594.9i −1.05869 1.45716i
\(659\) 8702.37 9664.97i 0.514410 0.571310i −0.428845 0.903378i \(-0.641079\pi\)
0.943256 + 0.332067i \(0.107746\pi\)
\(660\) −2662.34 4660.88i −0.157017 0.274885i
\(661\) −14615.0 16231.7i −0.859999 0.955126i 0.139384 0.990238i \(-0.455488\pi\)
−0.999383 + 0.0351126i \(0.988821\pi\)
\(662\) −948.787 + 4463.69i −0.0557034 + 0.262064i
\(663\) −2889.27 + 2972.37i −0.169246 + 0.174113i
\(664\) 7633.61 1622.57i 0.446147 0.0948315i
\(665\) −12291.2 15775.6i −0.716743 0.919926i
\(666\) 17045.9 + 5009.01i 0.991767 + 0.291434i
\(667\) −5410.95 7447.53i −0.314112 0.432338i
\(668\) 6912.20 3990.76i 0.400361 0.231148i
\(669\) −15696.4 23436.2i −0.907112 1.35440i
\(670\) 10825.9 + 1923.85i 0.624241 + 0.110933i
\(671\) 9031.23 4020.96i 0.519593 0.231338i
\(672\) −22552.8 + 9026.06i −1.29463 + 0.518137i
\(673\) −6339.72 29826.0i −0.363118 1.70834i −0.658183 0.752858i \(-0.728675\pi\)
0.295065 0.955477i \(-0.404659\pi\)
\(674\) −5144.06 −0.293979
\(675\) 17307.3 2828.95i 0.986903 0.161313i
\(676\) −1932.50 −0.109951
\(677\) 1071.63 + 5041.62i 0.0608361 + 0.286211i 0.998041 0.0625688i \(-0.0199293\pi\)
−0.937205 + 0.348780i \(0.886596\pi\)
\(678\) 28011.4 11210.7i 1.58669 0.635021i
\(679\) 42155.3 18768.7i 2.38258 1.06079i
\(680\) 1929.55 + 2003.47i 0.108816 + 0.112984i
\(681\) 9201.91 + 13739.3i 0.517794 + 0.773116i
\(682\) 16365.7 9448.76i 0.918880 0.530516i
\(683\) −2336.09 3215.36i −0.130876 0.180135i 0.738550 0.674199i \(-0.235511\pi\)
−0.869426 + 0.494064i \(0.835511\pi\)
\(684\) −1832.28 7559.66i −0.102425 0.422589i
\(685\) 6349.75 2301.49i 0.354177 0.128373i
\(686\) −1896.41 + 403.095i −0.105547 + 0.0224347i
\(687\) −7369.13 + 7581.07i −0.409243 + 0.421013i
\(688\) 2512.88 11822.2i 0.139248 0.655110i
\(689\) 6105.61 + 6780.96i 0.337598 + 0.374941i
\(690\) 11596.5 12760.2i 0.639813 0.704020i
\(691\) −9966.00 + 11068.4i −0.548661 + 0.609349i −0.952149 0.305636i \(-0.901131\pi\)
0.403488 + 0.914985i \(0.367798\pi\)
\(692\) 1867.06 + 2569.79i 0.102565 + 0.141169i
\(693\) −1181.73 + 15443.8i −0.0647764 + 0.846554i
\(694\) −8859.41 + 6436.74i −0.484580 + 0.352068i
\(695\) 7935.38 1967.23i 0.433103 0.107369i
\(696\) −4550.04 + 5784.61i −0.247800 + 0.315036i
\(697\) −3653.14 8205.09i −0.198526 0.445896i
\(698\) −2906.22 + 2616.78i −0.157596 + 0.141900i
\(699\) 19940.8 + 12551.5i 1.07901 + 0.679170i
\(700\) 14219.9 + 534.702i 0.767800 + 0.0288712i
\(701\) 15989.9 0.861529 0.430764 0.902464i \(-0.358244\pi\)
0.430764 + 0.902464i \(0.358244\pi\)
\(702\) 8539.70 18683.8i 0.459131 1.00452i
\(703\) 7425.42 10220.2i 0.398371 0.548311i
\(704\) 52.1121 495.814i 0.00278984 0.0265436i
\(705\) 4026.68 18523.1i 0.215111 0.989532i
\(706\) −1101.04 10475.7i −0.0586942 0.558438i
\(707\) −29157.5 16834.1i −1.55103 0.895490i
\(708\) −13608.4 + 9114.20i −0.722364 + 0.483803i
\(709\) 19630.3 21801.7i 1.03982 1.15484i 0.0520935 0.998642i \(-0.483411\pi\)
0.987726 0.156195i \(-0.0499227\pi\)
\(710\) −4.98556 6.39887i −0.000263528 0.000338233i
\(711\) 12056.3 + 15641.6i 0.635929 + 0.825043i
\(712\) 351.160 114.099i 0.0184835 0.00600566i
\(713\) 15727.7 + 14161.3i 0.826098 + 0.743822i
\(714\) 1575.32 + 9108.55i 0.0825696 + 0.477421i
\(715\) −8893.46 4744.02i −0.465170 0.248135i
\(716\) −474.034 100.759i −0.0247423 0.00525913i
\(717\) −8558.82 4209.20i −0.445795 0.219240i
\(718\) 9411.77 5433.89i 0.489198 0.282439i
\(719\) −19931.9 + 14481.4i −1.03384 + 0.751132i −0.969074 0.246769i \(-0.920631\pi\)
−0.0647695 + 0.997900i \(0.520631\pi\)
\(720\) −21599.7 10746.8i −1.11802 0.556263i
\(721\) −34637.8 25165.8i −1.78915 1.29990i
\(722\) 8128.72 + 854.363i 0.419002 + 0.0440389i
\(723\) −8630.52 + 23472.5i −0.443945 + 1.20740i
\(724\) 4010.72 6946.78i 0.205880 0.356595i
\(725\) 12014.0 6346.74i 0.615433 0.325120i
\(726\) −13337.0 8394.81i −0.681795 0.429147i
\(727\) 4931.85 + 23202.5i 0.251599 + 1.18368i 0.904580 + 0.426305i \(0.140185\pi\)
−0.652981 + 0.757374i \(0.726482\pi\)
\(728\) −8507.50 + 11709.6i −0.433117 + 0.596134i
\(729\) −12880.3 14883.5i −0.654387 0.756160i
\(730\) −19771.1 13374.4i −1.00241 0.678092i
\(731\) −2637.83 1174.44i −0.133466 0.0594229i
\(732\) −5430.15 + 8627.00i −0.274186 + 0.435605i
\(733\) 9639.07 1013.11i 0.485712 0.0510504i 0.141492 0.989939i \(-0.454810\pi\)
0.344220 + 0.938889i \(0.388143\pi\)
\(734\) 5669.33 + 1205.05i 0.285094 + 0.0605986i
\(735\) −17041.3 12501.9i −0.855210 0.627399i
\(736\) −14566.8 + 3096.26i −0.729535 + 0.155068i
\(737\) −5758.93 + 1871.19i −0.287833 + 0.0935226i
\(738\) 30709.4 + 32220.6i 1.53175 + 1.60712i
\(739\) 7840.84 24131.6i 0.390298 1.20121i −0.542266 0.840207i \(-0.682433\pi\)
0.932563 0.361006i \(-0.117567\pi\)
\(740\) 2162.92 + 8724.76i 0.107447 + 0.433417i
\(741\) −10474.0 10181.2i −0.519261 0.504745i
\(742\) 20236.4 2126.93i 1.00122 0.105232i
\(743\) 22338.8 + 12897.3i 1.10300 + 0.636819i 0.937008 0.349308i \(-0.113583\pi\)
0.165994 + 0.986127i \(0.446917\pi\)
\(744\) 7466.96 15183.0i 0.367946 0.748167i
\(745\) 14681.4 + 23565.3i 0.721993 + 1.15888i
\(746\) −5072.35 3685.28i −0.248944 0.180868i
\(747\) 5431.11 + 15231.8i 0.266016 + 0.746055i
\(748\) 1677.79 + 545.147i 0.0820135 + 0.0266478i
\(749\) −20813.2 36049.5i −1.01535 1.75864i
\(750\) 16216.0 + 19614.3i 0.789500 + 0.954952i
\(751\) 435.588 754.460i 0.0211649 0.0366586i −0.855249 0.518217i \(-0.826596\pi\)
0.876414 + 0.481559i \(0.159929\pi\)
\(752\) −19379.2 + 17449.1i −0.939741 + 0.846147i
\(753\) −7986.40 + 3196.30i −0.386508 + 0.154688i
\(754\) 1663.71 15829.1i 0.0803564 0.764540i
\(755\) −18444.8 + 619.378i −0.889105 + 0.0298562i
\(756\) −7849.20 13909.3i −0.377609 0.669150i
\(757\) 29873.9i 1.43433i 0.696904 + 0.717164i \(0.254560\pi\)
−0.696904 + 0.717164i \(0.745440\pi\)
\(758\) −19117.3 + 42938.2i −0.916058 + 2.05750i
\(759\) −2327.36 + 9205.87i −0.111301 + 0.440253i
\(760\) −7059.81 + 6799.33i −0.336955 + 0.324523i
\(761\) 17404.4 + 19329.6i 0.829053 + 0.920757i 0.997893 0.0648864i \(-0.0206685\pi\)
−0.168839 + 0.985644i \(0.554002\pi\)
\(762\) 12424.9 + 43872.9i 0.590690 + 2.08576i
\(763\) −4895.93 4408.32i −0.232300 0.209164i
\(764\) 4370.83 13452.0i 0.206978 0.637012i
\(765\) −3584.24 + 4513.70i −0.169396 + 0.213325i
\(766\) 4602.91 + 14166.3i 0.217115 + 0.668210i
\(767\) −12509.7 + 28097.4i −0.588919 + 1.32273i
\(768\) 12192.3 + 23112.8i 0.572854 + 1.08595i
\(769\) −1749.18 16642.3i −0.0820246 0.780412i −0.955787 0.294059i \(-0.904994\pi\)
0.873763 0.486353i \(-0.161673\pi\)
\(770\) −20215.8 + 9826.40i −0.946138 + 0.459895i
\(771\) 40069.7 + 5765.43i 1.87169 + 0.269308i