Properties

Label 225.4.u.a.4.19
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 4.19
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.770399 - 3.62444i) q^{2} +(-4.10935 + 3.18013i) q^{3} +(-5.23470 + 2.33064i) q^{4} +(9.67594 - 5.60144i) q^{5} +(14.6920 + 12.4441i) q^{6} +(-20.0051 + 11.5499i) q^{7} +(-4.94384 - 6.80461i) q^{8} +(6.77352 - 26.1366i) q^{9} +O(q^{10})\) \(q+(-0.770399 - 3.62444i) q^{2} +(-4.10935 + 3.18013i) q^{3} +(-5.23470 + 2.33064i) q^{4} +(9.67594 - 5.60144i) q^{5} +(14.6920 + 12.4441i) q^{6} +(-20.0051 + 11.5499i) q^{7} +(-4.94384 - 6.80461i) q^{8} +(6.77352 - 26.1366i) q^{9} +(-27.7564 - 30.7545i) q^{10} +(38.0240 - 8.08225i) q^{11} +(14.0995 - 26.2244i) q^{12} +(2.41823 - 11.3769i) q^{13} +(57.2739 + 63.6091i) q^{14} +(-21.9485 + 53.7891i) q^{15} +(-51.5276 + 57.2272i) q^{16} +(-51.7479 - 71.2249i) q^{17} +(-99.9487 - 4.41465i) q^{18} +(-117.016 + 85.0171i) q^{19} +(-37.5957 + 51.8729i) q^{20} +(45.4775 - 111.081i) q^{21} +(-58.5873 - 131.589i) q^{22} +(-111.491 + 100.387i) q^{23} +(41.9555 + 12.2405i) q^{24} +(62.2478 - 108.398i) q^{25} -43.0978 q^{26} +(55.2829 + 128.945i) q^{27} +(77.8017 - 107.085i) q^{28} +(-12.7498 + 121.306i) q^{29} +(211.864 + 38.1121i) q^{30} +(7.81281 + 74.3339i) q^{31} +(188.841 + 109.027i) q^{32} +(-130.551 + 154.134i) q^{33} +(-218.284 + 242.429i) q^{34} +(-128.872 + 223.814i) q^{35} +(25.4575 + 152.603i) q^{36} +(128.096 - 41.6209i) q^{37} +(398.288 + 358.620i) q^{38} +(26.2426 + 54.4419i) q^{39} +(-85.9520 - 38.1484i) q^{40} +(151.115 + 32.1204i) q^{41} +(-437.644 - 79.2536i) q^{42} +(-227.195 + 131.171i) q^{43} +(-180.207 + 130.928i) q^{44} +(-80.8621 - 290.837i) q^{45} +(449.741 + 326.756i) q^{46} +(-181.489 - 19.0752i) q^{47} +(29.7549 - 399.031i) q^{48} +(95.3017 - 165.067i) q^{49} +(-440.839 - 142.103i) q^{50} +(439.155 + 128.123i) q^{51} +(13.8567 + 65.1905i) q^{52} +(-382.262 + 526.139i) q^{53} +(424.763 - 299.709i) q^{54} +(322.646 - 291.192i) q^{55} +(177.495 + 79.0257i) q^{56} +(210.494 - 721.491i) q^{57} +(449.489 - 47.2432i) q^{58} +(-334.791 - 71.1620i) q^{59} +(-10.4689 - 332.723i) q^{60} +(216.946 - 46.1132i) q^{61} +(263.400 - 85.5838i) q^{62} +(166.371 + 601.097i) q^{63} +(59.3087 - 182.533i) q^{64} +(-40.3282 - 123.628i) q^{65} +(659.227 + 354.431i) q^{66} +(-863.987 + 90.8087i) q^{67} +(436.884 + 252.235i) q^{68} +(138.912 - 767.084i) q^{69} +(910.482 + 294.662i) q^{70} +(-60.4613 - 43.9277i) q^{71} +(-211.336 + 83.1238i) q^{72} +(-312.909 - 101.670i) q^{73} +(-249.537 - 432.211i) q^{74} +(88.9233 + 643.403i) q^{75} +(414.399 - 717.760i) q^{76} +(-667.323 + 600.860i) q^{77} +(177.104 - 137.057i) q^{78} +(132.857 - 1264.05i) q^{79} +(-178.024 + 842.356i) q^{80} +(-637.239 - 354.073i) q^{81} -572.451i q^{82} +(358.860 - 806.013i) q^{83} +(20.8296 + 687.469i) q^{84} +(-899.671 - 399.305i) q^{85} +(650.452 + 722.400i) q^{86} +(-333.376 - 539.035i) q^{87} +(-242.981 - 218.781i) q^{88} +(-471.200 + 1450.20i) q^{89} +(-991.826 + 517.141i) q^{90} +(83.0253 + 255.526i) q^{91} +(349.657 - 785.343i) q^{92} +(-268.497 - 280.618i) q^{93} +(70.6816 + 672.491i) q^{94} +(-656.022 + 1478.08i) q^{95} +(-1122.73 + 152.507i) q^{96} +(39.3090 + 4.13154i) q^{97} +(-671.697 - 218.248i) q^{98} +(46.3141 - 1048.56i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.770399 3.62444i −0.272377 1.28143i −0.875279 0.483618i \(-0.839322\pi\)
0.602902 0.797815i \(-0.294011\pi\)
\(3\) −4.10935 + 3.18013i −0.790845 + 0.612017i
\(4\) −5.23470 + 2.33064i −0.654337 + 0.291330i
\(5\) 9.67594 5.60144i 0.865443 0.501008i
\(6\) 14.6920 + 12.4441i 0.999667 + 0.846716i
\(7\) −20.0051 + 11.5499i −1.08017 + 0.623638i −0.930943 0.365165i \(-0.881013\pi\)
−0.149229 + 0.988803i \(0.547679\pi\)
\(8\) −4.94384 6.80461i −0.218489 0.300724i
\(9\) 6.77352 26.1366i 0.250871 0.968021i
\(10\) −27.7564 30.7545i −0.877735 0.972544i
\(11\) 38.0240 8.08225i 1.04224 0.221535i 0.345173 0.938539i \(-0.387820\pi\)
0.697069 + 0.717004i \(0.254487\pi\)
\(12\) 14.0995 26.2244i 0.339180 0.630862i
\(13\) 2.41823 11.3769i 0.0515920 0.242721i −0.944794 0.327666i \(-0.893738\pi\)
0.996386 + 0.0849445i \(0.0270713\pi\)
\(14\) 57.2739 + 63.6091i 1.09336 + 1.21430i
\(15\) −21.9485 + 53.7891i −0.377806 + 0.925885i
\(16\) −51.5276 + 57.2272i −0.805119 + 0.894175i
\(17\) −51.7479 71.2249i −0.738277 1.01615i −0.998716 0.0506606i \(-0.983867\pi\)
0.260439 0.965490i \(-0.416133\pi\)
\(18\) −99.9487 4.41465i −1.30879 0.0578079i
\(19\) −117.016 + 85.0171i −1.41291 + 1.02654i −0.420019 + 0.907515i \(0.637977\pi\)
−0.992891 + 0.119025i \(0.962023\pi\)
\(20\) −37.5957 + 51.8729i −0.420333 + 0.579957i
\(21\) 45.4775 111.081i 0.472572 1.15428i
\(22\) −58.5873 131.589i −0.567766 1.27522i
\(23\) −111.491 + 100.387i −1.01076 + 0.910095i −0.995960 0.0897950i \(-0.971379\pi\)
−0.0148031 + 0.999890i \(0.504712\pi\)
\(24\) 41.9555 + 12.2405i 0.356839 + 0.104107i
\(25\) 62.2478 108.398i 0.497982 0.867187i
\(26\) −43.0978 −0.325084
\(27\) 55.2829 + 128.945i 0.394045 + 0.919091i
\(28\) 77.8017 107.085i 0.525112 0.722755i
\(29\) −12.7498 + 121.306i −0.0816405 + 0.776757i 0.874732 + 0.484607i \(0.161037\pi\)
−0.956372 + 0.292150i \(0.905629\pi\)
\(30\) 211.864 + 38.1121i 1.28937 + 0.231943i
\(31\) 7.81281 + 74.3339i 0.0452652 + 0.430670i 0.993562 + 0.113286i \(0.0361377\pi\)
−0.948297 + 0.317384i \(0.897196\pi\)
\(32\) 188.841 + 109.027i 1.04321 + 0.602296i
\(33\) −130.551 + 154.134i −0.688669 + 0.813070i
\(34\) −218.284 + 242.429i −1.10104 + 1.22283i
\(35\) −128.872 + 223.814i −0.622380 + 1.08090i
\(36\) 25.4575 + 152.603i 0.117859 + 0.706498i
\(37\) 128.096 41.6209i 0.569158 0.184931i −0.0102799 0.999947i \(-0.503272\pi\)
0.579438 + 0.815017i \(0.303272\pi\)
\(38\) 398.288 + 358.620i 1.70029 + 1.53095i
\(39\) 26.2426 + 54.4419i 0.107748 + 0.223530i
\(40\) −85.9520 38.1484i −0.339755 0.150795i
\(41\) 151.115 + 32.1204i 0.575613 + 0.122350i 0.486515 0.873672i \(-0.338268\pi\)
0.0890985 + 0.996023i \(0.471601\pi\)
\(42\) −437.644 79.2536i −1.60786 0.291169i
\(43\) −227.195 + 131.171i −0.805742 + 0.465195i −0.845475 0.534015i \(-0.820682\pi\)
0.0397333 + 0.999210i \(0.487349\pi\)
\(44\) −180.207 + 130.928i −0.617438 + 0.448595i
\(45\) −80.8621 290.837i −0.267871 0.963455i
\(46\) 449.741 + 326.756i 1.44154 + 1.04734i
\(47\) −181.489 19.0752i −0.563252 0.0592002i −0.181376 0.983414i \(-0.558055\pi\)
−0.381876 + 0.924214i \(0.624722\pi\)
\(48\) 29.7549 399.031i 0.0894740 1.19990i
\(49\) 95.3017 165.067i 0.277848 0.481246i
\(50\) −440.839 142.103i −1.24688 0.401929i
\(51\) 439.155 + 128.123i 1.20576 + 0.351780i
\(52\) 13.8567 + 65.1905i 0.0369534 + 0.173852i
\(53\) −382.262 + 526.139i −0.990712 + 1.36360i −0.0598583 + 0.998207i \(0.519065\pi\)
−0.930854 + 0.365392i \(0.880935\pi\)
\(54\) 424.763 299.709i 1.07043 0.755281i
\(55\) 322.646 291.192i 0.791010 0.713898i
\(56\) 177.495 + 79.0257i 0.423549 + 0.188576i
\(57\) 210.494 721.491i 0.489134 1.67656i
\(58\) 449.489 47.2432i 1.01760 0.106954i
\(59\) −334.791 71.1620i −0.738746 0.157025i −0.176856 0.984237i \(-0.556593\pi\)
−0.561891 + 0.827211i \(0.689926\pi\)
\(60\) −10.4689 332.723i −0.0225254 0.715907i
\(61\) 216.946 46.1132i 0.455361 0.0967900i 0.0254798 0.999675i \(-0.491889\pi\)
0.429882 + 0.902885i \(0.358555\pi\)
\(62\) 263.400 85.5838i 0.539545 0.175309i
\(63\) 166.371 + 601.097i 0.332710 + 1.20208i
\(64\) 59.3087 182.533i 0.115837 0.356510i
\(65\) −40.3282 123.628i −0.0769554 0.235910i
\(66\) 659.227 + 354.431i 1.22947 + 0.661021i
\(67\) −863.987 + 90.8087i −1.57541 + 0.165583i −0.851518 0.524326i \(-0.824317\pi\)
−0.723897 + 0.689908i \(0.757651\pi\)
\(68\) 436.884 + 252.235i 0.779117 + 0.449823i
\(69\) 138.912 767.084i 0.242363 1.33835i
\(70\) 910.482 + 294.662i 1.55462 + 0.503126i
\(71\) −60.4613 43.9277i −0.101062 0.0734262i 0.536106 0.844150i \(-0.319895\pi\)
−0.637169 + 0.770724i \(0.719895\pi\)
\(72\) −211.336 + 83.1238i −0.345920 + 0.136059i
\(73\) −312.909 101.670i −0.501689 0.163008i 0.0472305 0.998884i \(-0.484960\pi\)
−0.548919 + 0.835876i \(0.684960\pi\)
\(74\) −249.537 432.211i −0.392002 0.678967i
\(75\) 88.9233 + 643.403i 0.136906 + 0.990584i
\(76\) 414.399 717.760i 0.625458 1.08333i
\(77\) −667.323 + 600.860i −0.987643 + 0.889278i
\(78\) 177.104 137.057i 0.257091 0.198957i
\(79\) 132.857 1264.05i 0.189210 1.80021i −0.328338 0.944560i \(-0.606489\pi\)
0.517548 0.855654i \(-0.326845\pi\)
\(80\) −178.024 + 842.356i −0.248795 + 1.17723i
\(81\) −637.239 354.073i −0.874127 0.485697i
\(82\) 572.451i 0.770935i
\(83\) 358.860 806.013i 0.474578 1.06592i −0.504680 0.863306i \(-0.668390\pi\)
0.979259 0.202614i \(-0.0649438\pi\)
\(84\) 20.8296 + 687.469i 0.0270559 + 0.892965i
\(85\) −899.671 399.305i −1.14804 0.509538i
\(86\) 650.452 + 722.400i 0.815582 + 0.905796i
\(87\) −333.376 539.035i −0.410823 0.664260i
\(88\) −242.981 218.781i −0.294340 0.265025i
\(89\) −471.200 + 1450.20i −0.561203 + 1.72721i 0.117767 + 0.993041i \(0.462426\pi\)
−0.678971 + 0.734165i \(0.737574\pi\)
\(90\) −991.826 + 517.141i −1.16164 + 0.605682i
\(91\) 83.0253 + 255.526i 0.0956419 + 0.294356i
\(92\) 349.657 785.343i 0.396242 0.889974i
\(93\) −268.497 280.618i −0.299375 0.312890i
\(94\) 70.6816 + 672.491i 0.0775559 + 0.737895i
\(95\) −656.022 + 1478.08i −0.708489 + 1.59629i
\(96\) −1122.73 + 152.507i −1.19363 + 0.162138i
\(97\) 39.3090 + 4.13154i 0.0411466 + 0.00432468i 0.125079 0.992147i \(-0.460081\pi\)
−0.0839328 + 0.996471i \(0.526748\pi\)
\(98\) −671.697 218.248i −0.692364 0.224963i
\(99\) 46.3141 1048.56i 0.0470176 1.06449i
\(100\) −73.2109 + 712.510i −0.0732109 + 0.712510i
\(101\) −404.961 701.414i −0.398962 0.691022i 0.594636 0.803995i \(-0.297296\pi\)
−0.993598 + 0.112973i \(0.963963\pi\)
\(102\) 126.049 1690.40i 0.122360 1.64092i
\(103\) 298.342 + 670.087i 0.285403 + 0.641025i 0.998176 0.0603691i \(-0.0192278\pi\)
−0.712773 + 0.701395i \(0.752561\pi\)
\(104\) −89.3706 + 39.7904i −0.0842645 + 0.0375170i
\(105\) −182.178 1329.56i −0.169321 1.23573i
\(106\) 2201.45 + 980.150i 2.01721 + 0.898119i
\(107\) 732.646i 0.661940i −0.943641 0.330970i \(-0.892624\pi\)
0.943641 0.330970i \(-0.107376\pi\)
\(108\) −589.913 546.143i −0.525596 0.486598i
\(109\) −363.786 1119.62i −0.319673 0.983854i −0.973788 0.227458i \(-0.926959\pi\)
0.654114 0.756396i \(-0.273041\pi\)
\(110\) −1303.98 945.076i −1.13027 0.819177i
\(111\) −394.031 + 578.397i −0.336935 + 0.494585i
\(112\) 369.843 1739.97i 0.312026 1.46797i
\(113\) 54.2602 255.274i 0.0451714 0.212515i −0.949773 0.312939i \(-0.898687\pi\)
0.994945 + 0.100424i \(0.0320199\pi\)
\(114\) −2777.17 207.087i −2.28163 0.170136i
\(115\) −516.471 + 1595.85i −0.418793 + 1.29404i
\(116\) −215.979 664.715i −0.172872 0.532045i
\(117\) −280.972 140.266i −0.222016 0.110834i
\(118\) 1268.25i 0.989424i
\(119\) 1857.86 + 827.173i 1.43118 + 0.637201i
\(120\) 474.524 116.573i 0.360982 0.0886803i
\(121\) 164.572 73.2723i 0.123646 0.0550506i
\(122\) −334.269 750.781i −0.248060 0.557152i
\(123\) −723.130 + 348.570i −0.530101 + 0.255525i
\(124\) −214.143 370.907i −0.155086 0.268616i
\(125\) −4.88099 1397.53i −0.00349255 0.999994i
\(126\) 2050.47 1066.09i 1.44976 0.753765i
\(127\) 970.955 + 315.482i 0.678412 + 0.220429i 0.627900 0.778294i \(-0.283915\pi\)
0.0505120 + 0.998723i \(0.483915\pi\)
\(128\) 1027.61 + 108.006i 0.709597 + 0.0745816i
\(129\) 516.482 1261.54i 0.352509 0.861024i
\(130\) −417.012 + 241.410i −0.281341 + 0.162870i
\(131\) −172.730 1643.42i −0.115202 1.09608i −0.887497 0.460813i \(-0.847558\pi\)
0.772295 0.635265i \(-0.219109\pi\)
\(132\) 324.166 1111.11i 0.213750 0.732651i
\(133\) 1358.97 3052.30i 0.885998 1.98998i
\(134\) 994.745 + 3061.51i 0.641290 + 1.97369i
\(135\) 1257.19 + 938.000i 0.801495 + 0.598001i
\(136\) −228.824 + 704.249i −0.144276 + 0.444036i
\(137\) 1148.30 + 1033.93i 0.716099 + 0.644778i 0.944395 0.328813i \(-0.106649\pi\)
−0.228296 + 0.973592i \(0.573315\pi\)
\(138\) −2887.27 + 87.4811i −1.78102 + 0.0539629i
\(139\) 1234.84 + 1371.43i 0.753509 + 0.836856i 0.990906 0.134557i \(-0.0429610\pi\)
−0.237397 + 0.971413i \(0.576294\pi\)
\(140\) 152.976 1471.95i 0.0923486 0.888588i
\(141\) 806.463 498.771i 0.481677 0.297902i
\(142\) −112.634 + 252.980i −0.0665637 + 0.149504i
\(143\) 452.139i 0.264404i
\(144\) 1146.70 + 1734.38i 0.663599 + 1.00369i
\(145\) 556.122 + 1245.17i 0.318506 + 0.713141i
\(146\) −127.433 + 1212.45i −0.0722361 + 0.687280i
\(147\) 133.308 + 981.392i 0.0747964 + 0.550638i
\(148\) −573.540 + 516.418i −0.318545 + 0.286819i
\(149\) 113.940 197.350i 0.0626466 0.108507i −0.833001 0.553271i \(-0.813379\pi\)
0.895648 + 0.444764i \(0.146713\pi\)
\(150\) 2263.47 817.974i 1.23208 0.445249i
\(151\) 7.92241 + 13.7220i 0.00426964 + 0.00739524i 0.868152 0.496298i \(-0.165308\pi\)
−0.863883 + 0.503693i \(0.831974\pi\)
\(152\) 1157.02 + 375.938i 0.617411 + 0.200609i
\(153\) −2212.09 + 870.069i −1.16887 + 0.459744i
\(154\) 2691.89 + 1955.77i 1.40856 + 1.02338i
\(155\) 491.973 + 675.488i 0.254943 + 0.350042i
\(156\) −264.256 223.825i −0.135625 0.114874i
\(157\) −2868.20 1655.96i −1.45801 0.841783i −0.459097 0.888386i \(-0.651827\pi\)
−0.998913 + 0.0466035i \(0.985160\pi\)
\(158\) −4683.83 + 492.291i −2.35839 + 0.247877i
\(159\) −102.342 3377.73i −0.0510454 1.68473i
\(160\) 2437.92 2.83819i 1.20459 0.00140237i
\(161\) 1070.93 3295.97i 0.524229 1.61341i
\(162\) −792.388 + 2582.41i −0.384296 + 1.25243i
\(163\) −219.355 + 71.2726i −0.105406 + 0.0342485i −0.361245 0.932471i \(-0.617648\pi\)
0.255839 + 0.966719i \(0.417648\pi\)
\(164\) −865.900 + 184.053i −0.412289 + 0.0876348i
\(165\) −399.834 + 2222.67i −0.188649 + 1.04869i
\(166\) −3197.81 679.716i −1.49517 0.317808i
\(167\) 1908.82 200.625i 0.884483 0.0929630i 0.348617 0.937265i \(-0.386652\pi\)
0.535867 + 0.844302i \(0.319985\pi\)
\(168\) −980.700 + 239.712i −0.450373 + 0.110084i
\(169\) 1883.47 + 838.577i 0.857294 + 0.381692i
\(170\) −754.152 + 3568.43i −0.340240 + 1.60992i
\(171\) 1429.44 + 3634.26i 0.639253 + 1.62526i
\(172\) 883.584 1216.15i 0.391701 0.539131i
\(173\) −416.556 1959.74i −0.183064 0.861250i −0.969789 0.243946i \(-0.921558\pi\)
0.786725 0.617304i \(-0.211775\pi\)
\(174\) −1696.87 + 1623.57i −0.739306 + 0.707372i
\(175\) 6.72313 + 2887.47i 0.00290412 + 1.24727i
\(176\) −1496.76 + 2592.47i −0.641037 + 1.11031i
\(177\) 1602.08 772.249i 0.680336 0.327942i
\(178\) 5619.19 + 590.601i 2.36616 + 0.248693i
\(179\) −621.753 451.730i −0.259620 0.188625i 0.450359 0.892847i \(-0.351296\pi\)
−0.709980 + 0.704222i \(0.751296\pi\)
\(180\) 1101.12 + 1333.98i 0.455961 + 0.552385i
\(181\) 533.312 387.474i 0.219010 0.159120i −0.472871 0.881132i \(-0.656782\pi\)
0.691881 + 0.722012i \(0.256782\pi\)
\(182\) 862.175 497.777i 0.351146 0.202734i
\(183\) −744.859 + 879.411i −0.300883 + 0.355235i
\(184\) 1234.29 + 262.357i 0.494528 + 0.105115i
\(185\) 1006.31 1120.24i 0.399922 0.445199i
\(186\) −810.235 + 1189.34i −0.319405 + 0.468853i
\(187\) −2543.32 2290.01i −0.994577 0.895521i
\(188\) 994.496 323.131i 0.385803 0.125355i
\(189\) −2595.24 1941.04i −0.998816 0.747036i
\(190\) 5862.61 + 1239.00i 2.23852 + 0.473088i
\(191\) 3127.11 3473.01i 1.18466 1.31570i 0.246642 0.969107i \(-0.420673\pi\)
0.938017 0.346591i \(-0.112661\pi\)
\(192\) 336.760 + 938.703i 0.126581 + 0.352839i
\(193\) −3249.03 1875.83i −1.21176 0.699613i −0.248621 0.968601i \(-0.579977\pi\)
−0.963143 + 0.268988i \(0.913311\pi\)
\(194\) −15.3091 145.656i −0.00566560 0.0539046i
\(195\) 558.875 + 379.780i 0.205240 + 0.139470i
\(196\) −114.163 + 1086.19i −0.0416047 + 0.395842i
\(197\) 1048.06 1442.53i 0.379040 0.521704i −0.576290 0.817245i \(-0.695500\pi\)
0.955330 + 0.295542i \(0.0955001\pi\)
\(198\) −3836.13 + 639.948i −1.37688 + 0.229692i
\(199\) −3540.51 −1.26121 −0.630603 0.776105i \(-0.717193\pi\)
−0.630603 + 0.776105i \(0.717193\pi\)
\(200\) −1045.35 + 112.332i −0.369588 + 0.0397155i
\(201\) 3261.64 3120.76i 1.14457 1.09513i
\(202\) −2230.25 + 2008.13i −0.776831 + 0.699462i
\(203\) −1146.02 2573.99i −0.396229 0.889945i
\(204\) −2597.45 + 352.826i −0.891460 + 0.121092i
\(205\) 1642.10 535.664i 0.559459 0.182499i
\(206\) 2198.85 1597.56i 0.743694 0.540325i
\(207\) 1868.59 + 3593.98i 0.627420 + 1.20676i
\(208\) 526.461 + 724.612i 0.175498 + 0.241552i
\(209\) −3762.29 + 4178.44i −1.24518 + 1.38291i
\(210\) −4678.55 + 1684.58i −1.53738 + 0.553558i
\(211\) 1718.03 + 1908.07i 0.560542 + 0.622545i 0.955085 0.296333i \(-0.0957637\pi\)
−0.394543 + 0.918878i \(0.629097\pi\)
\(212\) 774.788 3645.09i 0.251003 1.18088i
\(213\) 388.152 11.7606i 0.124863 0.00378321i
\(214\) −2655.43 + 564.429i −0.848232 + 0.180297i
\(215\) −1463.58 + 2541.82i −0.464257 + 0.806283i
\(216\) 604.110 1013.66i 0.190299 0.319310i
\(217\) −1014.85 1396.82i −0.317476 0.436968i
\(218\) −3777.73 + 2181.08i −1.17367 + 0.677620i
\(219\) 1609.18 577.294i 0.496522 0.178127i
\(220\) −1010.29 + 2276.27i −0.309607 + 0.697574i
\(221\) −935.455 + 416.491i −0.284731 + 0.126770i
\(222\) 2399.93 + 982.546i 0.725552 + 0.297046i
\(223\) −1101.17 5180.61i −0.330673 1.55569i −0.758403 0.651786i \(-0.774020\pi\)
0.427730 0.903906i \(-0.359313\pi\)
\(224\) −5037.02 −1.50246
\(225\) −2411.52 2361.18i −0.714526 0.699609i
\(226\) −967.028 −0.284627
\(227\) 1170.25 + 5505.59i 0.342168 + 1.60978i 0.726898 + 0.686746i \(0.240961\pi\)
−0.384729 + 0.923029i \(0.625705\pi\)
\(228\) 579.661 + 4267.37i 0.168373 + 1.23953i
\(229\) −1194.09 + 531.644i −0.344575 + 0.153415i −0.571726 0.820445i \(-0.693726\pi\)
0.227150 + 0.973860i \(0.427059\pi\)
\(230\) 6181.97 + 642.475i 1.77229 + 0.184189i
\(231\) 831.449 4591.32i 0.236819 1.30773i
\(232\) 888.473 512.960i 0.251427 0.145162i
\(233\) 3452.76 + 4752.31i 0.970805 + 1.33620i 0.941639 + 0.336624i \(0.109285\pi\)
0.0291659 + 0.999575i \(0.490715\pi\)
\(234\) −291.924 + 1126.43i −0.0815541 + 0.314688i
\(235\) −1862.92 + 832.027i −0.517122 + 0.230959i
\(236\) 1918.38 407.764i 0.529135 0.112471i
\(237\) 3473.89 + 5616.93i 0.952125 + 1.53949i
\(238\) 1566.75 7370.96i 0.426711 2.00752i
\(239\) 253.896 + 281.980i 0.0687162 + 0.0763171i 0.776523 0.630089i \(-0.216982\pi\)
−0.707806 + 0.706406i \(0.750315\pi\)
\(240\) −1947.24 4027.67i −0.523725 1.08327i
\(241\) −2676.19 + 2972.21i −0.715306 + 0.794427i −0.985734 0.168313i \(-0.946168\pi\)
0.270428 + 0.962740i \(0.412835\pi\)
\(242\) −392.357 540.034i −0.104222 0.143449i
\(243\) 3744.64 571.495i 0.988554 0.150870i
\(244\) −1028.17 + 747.010i −0.269762 + 0.195993i
\(245\) −2.48089 2131.01i −0.000646933 0.555695i
\(246\) 1820.47 + 2352.40i 0.471825 + 0.609690i
\(247\) 684.257 + 1536.87i 0.176268 + 0.395905i
\(248\) 467.188 420.658i 0.119623 0.107709i
\(249\) 1088.55 + 4453.41i 0.277043 + 1.13343i
\(250\) −5061.52 + 1094.35i −1.28047 + 0.276851i
\(251\) −6597.57 −1.65910 −0.829552 0.558429i \(-0.811404\pi\)
−0.829552 + 0.558429i \(0.811404\pi\)
\(252\) −2271.84 2758.81i −0.567906 0.689638i
\(253\) −3427.99 + 4718.23i −0.851842 + 1.17246i
\(254\) 395.425 3762.22i 0.0976817 0.929380i
\(255\) 4966.91 1220.19i 1.21976 0.299652i
\(256\) −560.700 5334.71i −0.136890 1.30242i
\(257\) 1140.25 + 658.324i 0.276758 + 0.159786i 0.631955 0.775005i \(-0.282253\pi\)
−0.355197 + 0.934792i \(0.615586\pi\)
\(258\) −4970.26 900.072i −1.19936 0.217194i
\(259\) −2081.85 + 2312.13i −0.499459 + 0.554705i
\(260\) 499.237 + 553.162i 0.119082 + 0.131945i
\(261\) 3084.16 + 1154.90i 0.731436 + 0.273895i
\(262\) −5823.41 + 1892.14i −1.37317 + 0.446171i
\(263\) 865.777 + 779.549i 0.202989 + 0.182772i 0.764355 0.644795i \(-0.223057\pi\)
−0.561366 + 0.827567i \(0.689724\pi\)
\(264\) 1694.25 + 126.336i 0.394976 + 0.0294525i
\(265\) −751.614 + 7232.11i −0.174231 + 1.67647i
\(266\) −12109.8 2574.02i −2.79136 0.593321i
\(267\) −2675.52 7457.88i −0.613255 1.70942i
\(268\) 4311.06 2488.99i 0.982613 0.567312i
\(269\) −4428.04 + 3217.16i −1.00365 + 0.729196i −0.962868 0.269972i \(-0.912986\pi\)
−0.0407843 + 0.999168i \(0.512986\pi\)
\(270\) 2431.19 5279.25i 0.547990 1.18994i
\(271\) −6393.43 4645.10i −1.43311 1.04122i −0.989427 0.145033i \(-0.953671\pi\)
−0.443684 0.896183i \(-0.646329\pi\)
\(272\) 6742.44 + 708.659i 1.50302 + 0.157973i
\(273\) −1153.79 786.013i −0.255788 0.174255i
\(274\) 2862.77 4958.47i 0.631192 1.09326i
\(275\) 1490.81 4624.84i 0.326905 1.01414i
\(276\) 1060.63 + 4339.20i 0.231313 + 0.946338i
\(277\) 788.938 + 3711.66i 0.171129 + 0.805098i 0.977039 + 0.213060i \(0.0683431\pi\)
−0.805910 + 0.592038i \(0.798324\pi\)
\(278\) 4019.34 5532.15i 0.867137 1.19351i
\(279\) 1995.75 + 299.302i 0.428253 + 0.0642249i
\(280\) 2160.09 229.577i 0.461035 0.0489995i
\(281\) 3439.52 + 1531.37i 0.730194 + 0.325103i 0.737940 0.674867i \(-0.235799\pi\)
−0.00774553 + 0.999970i \(0.502466\pi\)
\(282\) −2429.07 2538.72i −0.512939 0.536095i
\(283\) 4793.24 503.790i 1.00682 0.105821i 0.413259 0.910613i \(-0.364390\pi\)
0.593556 + 0.804793i \(0.297724\pi\)
\(284\) 418.876 + 89.0348i 0.0875201 + 0.0186030i
\(285\) −2004.66 8160.18i −0.416652 1.69603i
\(286\) −1638.75 + 348.327i −0.338816 + 0.0720176i
\(287\) −3394.05 + 1102.79i −0.698063 + 0.226815i
\(288\) 4128.71 4197.14i 0.844745 0.858747i
\(289\) −876.936 + 2698.93i −0.178493 + 0.549345i
\(290\) 4084.60 2974.91i 0.827089 0.602388i
\(291\) −174.673 + 108.030i −0.0351873 + 0.0217623i
\(292\) 1874.94 197.064i 0.375762 0.0394942i
\(293\) −125.780 72.6193i −0.0250791 0.0144794i 0.487408 0.873174i \(-0.337942\pi\)
−0.512487 + 0.858695i \(0.671276\pi\)
\(294\) 3454.30 1239.23i 0.685234 0.245828i
\(295\) −3638.03 + 1186.75i −0.718014 + 0.234221i
\(296\) −916.500 665.876i −0.179968 0.130754i
\(297\) 3144.24 + 4456.19i 0.614301 + 0.870621i
\(298\) −803.063 260.931i −0.156108 0.0507226i
\(299\) 872.482 + 1511.18i 0.168752 + 0.292288i
\(300\) −1965.03 3160.77i −0.378169 0.608291i
\(301\) 3030.03 5248.17i 0.580226 1.00498i
\(302\) 43.6312 39.2857i 0.00831355 0.00748556i
\(303\) 3894.72 + 1594.52i 0.738434 + 0.302320i
\(304\) 1164.26 11077.2i 0.219655 2.08988i
\(305\) 1840.85 1661.40i 0.345597 0.311906i
\(306\) 4857.70 + 7347.28i 0.907504 + 1.37260i
\(307\) 2896.92i 0.538554i 0.963063 + 0.269277i \(0.0867847\pi\)
−0.963063 + 0.269277i \(0.913215\pi\)
\(308\) 2092.85 4700.61i 0.387178 0.869617i
\(309\) −3356.96 1804.85i −0.618028 0.332280i
\(310\) 2069.25 2303.52i 0.379115 0.422036i
\(311\) 1255.04 + 1393.86i 0.228832 + 0.254144i 0.846616 0.532204i \(-0.178636\pi\)
−0.617784 + 0.786348i \(0.711969\pi\)
\(312\) 240.717 447.723i 0.0436791 0.0812414i
\(313\) −3514.48 3164.45i −0.634665 0.571455i 0.287726 0.957713i \(-0.407101\pi\)
−0.922391 + 0.386258i \(0.873768\pi\)
\(314\) −3792.26 + 11671.4i −0.681560 + 2.09763i
\(315\) 4976.80 + 4884.27i 0.890194 + 0.873642i
\(316\) 2250.58 + 6926.57i 0.400648 + 1.23307i
\(317\) 2975.58 6683.26i 0.527208 1.18413i −0.432114 0.901819i \(-0.642232\pi\)
0.959323 0.282311i \(-0.0911010\pi\)
\(318\) −12163.5 + 2973.13i −2.14496 + 0.524292i
\(319\) 495.628 + 4715.58i 0.0869901 + 0.827655i
\(320\) −448.582 2098.40i −0.0783640 0.366575i
\(321\) 2329.91 + 3010.70i 0.405118 + 0.523492i
\(322\) −12771.1 1342.30i −2.21026 0.232308i
\(323\) 12110.7 + 3934.99i 2.08624 + 0.677860i
\(324\) 4160.97 + 368.291i 0.713472 + 0.0631501i
\(325\) −1082.71 970.318i −0.184793 0.165611i
\(326\) 427.314 + 740.129i 0.0725973 + 0.125742i
\(327\) 5055.46 + 3444.02i 0.854947 + 0.582430i
\(328\) −528.520 1187.07i −0.0889714 0.199833i
\(329\) 3851.01 1714.58i 0.645329 0.287319i
\(330\) 8363.96 263.165i 1.39521 0.0438993i
\(331\) −7946.67 3538.09i −1.31960 0.587525i −0.378486 0.925607i \(-0.623555\pi\)
−0.941117 + 0.338082i \(0.890222\pi\)
\(332\) 5055.60i 0.835730i
\(333\) −220.166 3629.90i −0.0362314 0.597350i
\(334\) −2197.70 6763.84i −0.360039 1.10809i
\(335\) −7851.23 + 5718.23i −1.28047 + 0.932597i
\(336\) 4013.53 + 8326.31i 0.651655 + 1.35190i
\(337\) 1689.46 7948.30i 0.273089 1.28478i −0.601091 0.799180i \(-0.705267\pi\)
0.874180 0.485602i \(-0.161400\pi\)
\(338\) 1588.35 7472.58i 0.255605 1.20253i
\(339\) 588.831 + 1221.57i 0.0943390 + 0.195712i
\(340\) 5640.14 6.56618i 0.899646 0.00104736i
\(341\) 897.859 + 2763.33i 0.142586 + 0.438834i
\(342\) 12070.9 7980.76i 1.90854 1.26184i
\(343\) 3520.34i 0.554170i
\(344\) 2015.78 + 897.484i 0.315941 + 0.140666i
\(345\) −2952.67 8200.37i −0.460771 1.27969i
\(346\) −6782.05 + 3019.56i −1.05377 + 0.469169i
\(347\) 2976.56 + 6685.47i 0.460491 + 1.03428i 0.983327 + 0.181846i \(0.0582073\pi\)
−0.522836 + 0.852433i \(0.675126\pi\)
\(348\) 3001.41 + 2044.70i 0.462335 + 0.314965i
\(349\) 983.312 + 1703.15i 0.150818 + 0.261224i 0.931528 0.363669i \(-0.118476\pi\)
−0.780710 + 0.624893i \(0.785143\pi\)
\(350\) 10460.3 2248.87i 1.59750 0.343450i
\(351\) 1600.68 317.129i 0.243413 0.0482253i
\(352\) 8061.66 + 2619.39i 1.22070 + 0.396631i
\(353\) −4114.41 432.442i −0.620362 0.0652027i −0.210867 0.977515i \(-0.567629\pi\)
−0.409496 + 0.912312i \(0.634295\pi\)
\(354\) −4033.21 5211.69i −0.605544 0.782481i
\(355\) −831.078 86.3718i −0.124251 0.0129131i
\(356\) −913.311 8689.58i −0.135970 1.29367i
\(357\) −10265.1 + 2509.10i −1.52182 + 0.371977i
\(358\) −1158.27 + 2601.52i −0.170996 + 0.384063i
\(359\) −412.401 1269.24i −0.0606287 0.186596i 0.916155 0.400824i \(-0.131276\pi\)
−0.976784 + 0.214229i \(0.931276\pi\)
\(360\) −1579.27 + 1988.09i −0.231207 + 0.291060i
\(361\) 4345.29 13373.4i 0.633516 1.94976i
\(362\) −1815.24 1634.45i −0.263555 0.237306i
\(363\) −443.270 + 824.463i −0.0640926 + 0.119210i
\(364\) −1030.15 1144.10i −0.148337 0.164744i
\(365\) −3597.19 + 768.985i −0.515851 + 0.110275i
\(366\) 3761.21 + 2022.20i 0.537163 + 0.288804i
\(367\) −10.2150 + 22.9432i −0.00145291 + 0.00326329i −0.914270 0.405104i \(-0.867235\pi\)
0.912818 + 0.408368i \(0.133902\pi\)
\(368\) 11553.1i 1.63653i
\(369\) 1863.09 3732.05i 0.262842 0.526511i
\(370\) −4835.51 2784.28i −0.679423 0.391211i
\(371\) 1570.31 14940.5i 0.219748 2.09077i
\(372\) 2059.52 + 843.182i 0.287046 + 0.117519i
\(373\) −6191.48 + 5574.83i −0.859471 + 0.773871i −0.975644 0.219358i \(-0.929604\pi\)
0.116174 + 0.993229i \(0.462937\pi\)
\(374\) −6340.65 + 10982.3i −0.876651 + 1.51840i
\(375\) 4464.40 + 5727.43i 0.614775 + 0.788702i
\(376\) 767.452 + 1329.27i 0.105261 + 0.182318i
\(377\) 1349.25 + 438.398i 0.184324 + 0.0598904i
\(378\) −5035.80 + 10901.7i −0.685222 + 1.48339i
\(379\) −3603.47 2618.08i −0.488385 0.354832i 0.316178 0.948700i \(-0.397600\pi\)
−0.804563 + 0.593867i \(0.797600\pi\)
\(380\) −10.7876 9266.24i −0.00145630 1.25092i
\(381\) −4993.27 + 1791.34i −0.671425 + 0.240874i
\(382\) −14996.8 8658.43i −2.00865 1.15970i
\(383\) −7793.65 + 819.146i −1.03978 + 0.109286i −0.609000 0.793170i \(-0.708429\pi\)
−0.430783 + 0.902456i \(0.641763\pi\)
\(384\) −4566.26 + 2824.09i −0.606826 + 0.375303i
\(385\) −3091.30 + 9551.86i −0.409213 + 1.26444i
\(386\) −4295.79 + 13221.1i −0.566450 + 1.74335i
\(387\) 1889.45 + 6826.58i 0.248181 + 0.896678i
\(388\) −215.399 + 69.9875i −0.0281836 + 0.00915742i
\(389\) 6524.34 1386.79i 0.850378 0.180754i 0.237948 0.971278i \(-0.423525\pi\)
0.612431 + 0.790524i \(0.290192\pi\)
\(390\) 945.934 2318.19i 0.122819 0.300990i
\(391\) 12919.5 + 2746.13i 1.67102 + 0.355186i
\(392\) −1594.38 + 167.576i −0.205429 + 0.0215915i
\(393\) 5936.10 + 6204.08i 0.761925 + 0.796322i
\(394\) −6035.77 2687.30i −0.771771 0.343614i
\(395\) −5794.99 12975.1i −0.738171 1.65278i
\(396\) 2201.38 + 5596.84i 0.279352 + 0.710232i
\(397\) −5330.97 + 7337.45i −0.673938 + 0.927597i −0.999841 0.0178066i \(-0.994332\pi\)
0.325903 + 0.945403i \(0.394332\pi\)
\(398\) 2727.60 + 12832.4i 0.343524 + 1.61615i
\(399\) 4122.23 + 16864.7i 0.517217 + 2.11601i
\(400\) 2995.86 + 9147.78i 0.374482 + 1.14347i
\(401\) 4235.71 7336.46i 0.527484 0.913629i −0.472003 0.881597i \(-0.656469\pi\)
0.999487 0.0320319i \(-0.0101978\pi\)
\(402\) −13823.8 9417.40i −1.71509 1.16840i
\(403\) 864.581 + 90.8711i 0.106868 + 0.0112323i
\(404\) 3754.59 + 2727.87i 0.462371 + 0.335932i
\(405\) −8149.21 + 143.465i −0.999845 + 0.0176021i
\(406\) −8446.40 + 6136.67i −1.03248 + 0.750142i
\(407\) 4534.33 2617.89i 0.552232 0.318831i
\(408\) −1299.29 3621.70i −0.157657 0.439462i
\(409\) 2999.94 + 637.657i 0.362684 + 0.0770908i 0.385649 0.922645i \(-0.373977\pi\)
−0.0229656 + 0.999736i \(0.507311\pi\)
\(410\) −3206.55 5539.01i −0.386245 0.667200i
\(411\) −8006.78 597.049i −0.960938 0.0716551i
\(412\) −3123.46 2812.37i −0.373499 0.336300i
\(413\) 7519.43 2443.21i 0.895900 0.291096i
\(414\) 11586.6 9541.38i 1.37548 1.13269i
\(415\) −1042.52 9809.07i −0.123314 1.16026i
\(416\) 1697.05 1884.76i 0.200011 0.222135i
\(417\) −9435.71 1708.73i −1.10808 0.200663i
\(418\) 18043.0 + 10417.1i 2.11127 + 1.21894i
\(419\) −3.41722 32.5127i −0.000398430 0.00379081i 0.994321 0.106424i \(-0.0339400\pi\)
−0.994719 + 0.102633i \(0.967273\pi\)
\(420\) 4052.36 + 6535.24i 0.470798 + 0.759255i
\(421\) −398.336 + 3789.91i −0.0461133 + 0.438739i 0.946970 + 0.321323i \(0.104128\pi\)
−0.993083 + 0.117416i \(0.962539\pi\)
\(422\) 5592.12 7696.89i 0.645071 0.887864i
\(423\) −1727.88 + 4614.28i −0.198611 + 0.530388i
\(424\) 5470.01 0.626527
\(425\) −10941.9 + 1175.80i −1.24884 + 0.134199i
\(426\) −341.658 1397.78i −0.0388577 0.158973i
\(427\) −3807.41 + 3428.20i −0.431507 + 0.388530i
\(428\) 1707.53 + 3835.18i 0.192843 + 0.433131i
\(429\) 1437.86 + 1858.00i 0.161820 + 0.209103i
\(430\) 10340.2 + 3346.44i 1.15965 + 0.375301i
\(431\) −6316.82 + 4589.44i −0.705964 + 0.512913i −0.881869 0.471494i \(-0.843715\pi\)
0.175905 + 0.984407i \(0.443715\pi\)
\(432\) −10227.8 3480.54i −1.13908 0.387633i
\(433\) −3494.74 4810.10i −0.387867 0.533853i 0.569780 0.821797i \(-0.307028\pi\)
−0.957647 + 0.287944i \(0.907028\pi\)
\(434\) −4280.84 + 4754.36i −0.473473 + 0.525845i
\(435\) −6245.09 3348.29i −0.688343 0.369053i
\(436\) 4513.74 + 5013.01i 0.495800 + 0.550641i
\(437\) 4511.64 21225.6i 0.493869 2.32347i
\(438\) −3332.08 5387.63i −0.363499 0.587742i
\(439\) −12814.8 + 2723.87i −1.39320 + 0.296134i −0.842558 0.538605i \(-0.818951\pi\)
−0.550645 + 0.834740i \(0.685618\pi\)
\(440\) −3576.56 755.871i −0.387513 0.0818971i
\(441\) −3668.77 3608.95i −0.396152 0.389693i
\(442\) 2230.22 + 3069.64i 0.240002 + 0.330334i
\(443\) 1807.63 1043.64i 0.193867 0.111929i −0.399925 0.916548i \(-0.630964\pi\)
0.593792 + 0.804619i \(0.297630\pi\)
\(444\) 714.600 3946.07i 0.0763815 0.421785i
\(445\) 3563.93 + 16671.5i 0.379655 + 1.77597i
\(446\) −17928.5 + 7982.27i −1.90345 + 0.847470i
\(447\) 159.379 + 1173.33i 0.0168644 + 0.124153i
\(448\) 921.773 + 4336.60i 0.0972091 + 0.457333i
\(449\) −4659.40 −0.489735 −0.244867 0.969557i \(-0.578744\pi\)
−0.244867 + 0.969557i \(0.578744\pi\)
\(450\) −6700.13 + 10559.5i −0.701882 + 1.10617i
\(451\) 6005.59 0.627033
\(452\) 310.916 + 1462.74i 0.0323545 + 0.152216i
\(453\) −76.1937 31.1942i −0.00790264 0.00323539i
\(454\) 19053.1 8483.00i 1.96962 0.876932i
\(455\) 2234.66 + 2007.39i 0.230247 + 0.206831i
\(456\) −5950.12 + 2134.61i −0.611052 + 0.219215i
\(457\) −3604.66 + 2081.15i −0.368969 + 0.213025i −0.673008 0.739635i \(-0.734998\pi\)
0.304039 + 0.952660i \(0.401665\pi\)
\(458\) 2846.84 + 3918.33i 0.290445 + 0.399764i
\(459\) 6323.31 10610.1i 0.643021 1.07895i
\(460\) −1015.79 9557.51i −0.102959 0.968742i
\(461\) −7993.16 + 1699.00i −0.807546 + 0.171649i −0.593144 0.805096i \(-0.702114\pi\)
−0.214402 + 0.976746i \(0.568780\pi\)
\(462\) −17281.5 + 523.611i −1.74028 + 0.0527286i
\(463\) −586.105 + 2757.40i −0.0588306 + 0.276776i −0.997724 0.0674321i \(-0.978519\pi\)
0.938893 + 0.344209i \(0.111853\pi\)
\(464\) −6285.04 6980.24i −0.628827 0.698383i
\(465\) −4169.83 1211.28i −0.415852 0.120799i
\(466\) 14564.5 16175.5i 1.44782 1.60797i
\(467\) 7942.87 + 10932.4i 0.787050 + 1.08328i 0.994469 + 0.105029i \(0.0334936\pi\)
−0.207419 + 0.978252i \(0.566506\pi\)
\(468\) 1797.71 + 79.4035i 0.177563 + 0.00784279i
\(469\) 16235.3 11795.6i 1.59845 1.16135i
\(470\) 4450.83 + 6111.06i 0.436811 + 0.599750i
\(471\) 17052.6 2316.36i 1.66825 0.226607i
\(472\) 1170.92 + 2629.94i 0.114187 + 0.256467i
\(473\) −7578.70 + 6823.89i −0.736721 + 0.663346i
\(474\) 17682.0 16918.2i 1.71342 1.63941i
\(475\) 1931.73 + 17976.5i 0.186598 + 1.73646i
\(476\) −11653.2 −1.12211
\(477\) 11162.2 + 13554.8i 1.07145 + 1.30112i
\(478\) 826.419 1137.47i 0.0790785 0.108842i
\(479\) 893.133 8497.59i 0.0851948 0.810574i −0.865597 0.500742i \(-0.833061\pi\)
0.950791 0.309832i \(-0.100273\pi\)
\(480\) −10009.2 + 7764.57i −0.951786 + 0.738338i
\(481\) −163.750 1557.98i −0.0155226 0.147688i
\(482\) 12834.3 + 7409.91i 1.21284 + 0.700233i
\(483\) 6080.81 + 16950.0i 0.572850 + 1.59679i
\(484\) −690.715 + 767.116i −0.0648680 + 0.0720432i
\(485\) 403.494 180.210i 0.0377767 0.0168720i
\(486\) −4956.21 13131.9i −0.462589 1.22567i
\(487\) 6284.00 2041.79i 0.584713 0.189985i −0.00169804 0.999999i \(-0.500541\pi\)
0.586411 + 0.810014i \(0.300541\pi\)
\(488\) −1386.33 1248.25i −0.128599 0.115791i
\(489\) 674.748 990.461i 0.0623991 0.0915955i
\(490\) −7721.81 + 1650.72i −0.711910 + 0.152188i
\(491\) −18215.7 3871.88i −1.67427 0.355876i −0.729591 0.683883i \(-0.760290\pi\)
−0.944675 + 0.328007i \(0.893623\pi\)
\(492\) 2972.97 3510.01i 0.272423 0.321633i
\(493\) 9299.77 5369.23i 0.849576 0.490503i
\(494\) 5043.13 3664.05i 0.459314 0.333711i
\(495\) −5425.32 10405.2i −0.492626 0.944810i
\(496\) −4656.50 3383.14i −0.421538 0.306265i
\(497\) 1716.89 + 180.453i 0.154956 + 0.0162865i
\(498\) 15302.5 7376.27i 1.37695 0.663732i
\(499\) −2502.87 + 4335.10i −0.224537 + 0.388909i −0.956180 0.292778i \(-0.905420\pi\)
0.731644 + 0.681687i \(0.238754\pi\)
\(500\) 3282.69 + 7304.29i 0.293613 + 0.653315i
\(501\) −7205.99 + 6894.73i −0.642594 + 0.614838i
\(502\) 5082.76 + 23912.5i 0.451902 + 2.12603i
\(503\) −9714.95 + 13371.5i −0.861170 + 1.18530i 0.120120 + 0.992759i \(0.461672\pi\)
−0.981289 + 0.192539i \(0.938328\pi\)
\(504\) 3267.72 4103.82i 0.288802 0.362695i
\(505\) −7847.31 4518.47i −0.691486 0.398157i
\(506\) 19741.9 + 8789.64i 1.73445 + 0.772228i
\(507\) −10406.6 + 2543.69i −0.911588 + 0.222819i
\(508\) −5817.93 + 611.489i −0.508128 + 0.0534064i
\(509\) −7522.40 1598.93i −0.655058 0.139237i −0.131619 0.991300i \(-0.542018\pi\)
−0.523438 + 0.852063i \(0.675351\pi\)
\(510\) −8249.00 17062.2i −0.716220 1.48143i
\(511\) 7434.06 1580.16i 0.643568 0.136795i
\(512\) −11041.8 + 3587.70i −0.953093 + 0.309679i
\(513\) −17431.5 10388.6i −1.50023 0.894091i
\(514\) 1507.61 4639.94i 0.129373 0.398169i
\(515\) 6640.19 + 4812.58i 0.568159 + 0.411782i
\(516\) 236.559 + 7807.49i 0.0201820 + 0.666096i
\(517\) −7055.10 + 741.521i −0.600160 + 0.0630794i
\(518\) 9984.02 + 5764.28i 0.846858 + 0.488934i
\(519\) 7944.00 + 6728.55i 0.671875 + 0.569077i
\(520\) −641.862 + 885.613i −0.0541298 + 0.0746860i
\(521\) 6728.95 + 4888.87i 0.565837 + 0.411104i 0.833590 0.552383i \(-0.186281\pi\)
−0.267754 + 0.963487i \(0.586281\pi\)
\(522\) 1809.85 12068.1i 0.151753 1.01189i
\(523\) 12196.3 + 3962.81i 1.01971 + 0.331322i 0.770713 0.637183i \(-0.219900\pi\)
0.248993 + 0.968505i \(0.419900\pi\)
\(524\) 4734.40 + 8200.23i 0.394701 + 0.683642i
\(525\) −9210.18 11844.3i −0.765648 0.984621i
\(526\) 2158.44 3738.52i 0.178921 0.309900i
\(527\) 4890.13 4403.09i 0.404207 0.363950i
\(528\) −2093.67 15413.2i −0.172567 1.27041i
\(529\) 1080.92 10284.3i 0.0888404 0.845260i
\(530\) 26791.4 2847.43i 2.19574 0.233367i
\(531\) −4127.64 + 8268.26i −0.337334 + 0.675729i
\(532\) 19145.1i 1.56024i
\(533\) 730.860 1641.54i 0.0593941 0.133401i
\(534\) −24969.4 + 15442.8i −2.02347 + 1.25145i
\(535\) −4103.87 7089.04i −0.331637 0.572871i
\(536\) 4889.33 + 5430.15i 0.394005 + 0.437587i
\(537\) 3991.56 120.940i 0.320761 0.00971871i
\(538\) 15071.8 + 13570.7i 1.20779 + 1.08750i
\(539\) 2289.64 7046.77i 0.182971 0.563128i
\(540\) −8767.15 1980.09i −0.698663 0.157795i
\(541\) 5202.27 + 16010.9i 0.413425 + 1.27239i 0.913652 + 0.406497i \(0.133250\pi\)
−0.500227 + 0.865894i \(0.666750\pi\)
\(542\) −11910.4 + 26751.2i −0.943902 + 2.12004i
\(543\) −959.347 + 3288.27i −0.0758187 + 0.259877i
\(544\) −2006.66 19092.1i −0.158152 1.50472i
\(545\) −9791.45 8795.65i −0.769578 0.691310i
\(546\) −1959.98 + 4787.37i −0.153625 + 0.375239i
\(547\) 15917.0 + 1672.95i 1.24417 + 0.130768i 0.703642 0.710555i \(-0.251556\pi\)
0.540533 + 0.841323i \(0.318223\pi\)
\(548\) −8420.69 2736.05i −0.656413 0.213281i
\(549\) 264.245 5982.56i 0.0205422 0.465081i
\(550\) −17911.0 1840.37i −1.38859 0.142679i
\(551\) −8821.15 15278.7i −0.682021 1.18130i
\(552\) −5906.47 + 2847.10i −0.455428 + 0.219530i
\(553\) 11941.9 + 26821.9i 0.918302 + 2.06254i
\(554\) 12844.9 5718.92i 0.985068 0.438581i
\(555\) −572.769 + 7803.67i −0.0438066 + 0.596842i
\(556\) −9660.31 4301.05i −0.736849 0.328066i
\(557\) 9801.97i 0.745642i 0.927903 + 0.372821i \(0.121610\pi\)
−0.927903 + 0.372821i \(0.878390\pi\)
\(558\) −452.722 7464.07i −0.0343463 0.566271i
\(559\) 942.907 + 2901.97i 0.0713430 + 0.219571i
\(560\) −6167.78 18907.5i −0.465422 1.42677i
\(561\) 17733.9 + 1322.38i 1.33463 + 0.0995205i
\(562\) 2900.57 13646.1i 0.217710 1.02425i
\(563\) 1656.03 7791.03i 0.123967 0.583220i −0.871685 0.490067i \(-0.836972\pi\)
0.995652 0.0931524i \(-0.0296944\pi\)
\(564\) −3059.13 + 4490.49i −0.228391 + 0.335255i
\(565\) −904.884 2773.95i −0.0673783 0.206551i
\(566\) −5518.67 16984.7i −0.409835 1.26134i
\(567\) 16837.5 276.814i 1.24711 0.0205028i
\(568\) 628.587i 0.0464347i
\(569\) 9858.68 + 4389.37i 0.726357 + 0.323395i 0.736393 0.676555i \(-0.236528\pi\)
−0.0100352 + 0.999950i \(0.503194\pi\)
\(570\) −28031.7 + 13552.4i −2.05986 + 0.995870i
\(571\) 611.789 272.386i 0.0448381 0.0199632i −0.384195 0.923252i \(-0.625521\pi\)
0.429033 + 0.903289i \(0.358854\pi\)
\(572\) 1053.77 + 2366.81i 0.0770287 + 0.173009i
\(573\) −1805.77 + 24216.4i −0.131653 + 1.76554i
\(574\) 6611.77 + 11451.9i 0.480784 + 0.832743i
\(575\) 3941.73 + 18334.4i 0.285881 + 1.32973i
\(576\) −4369.06 2786.52i −0.316049 0.201571i
\(577\) −15636.9 5080.74i −1.12820 0.366575i −0.315310 0.948989i \(-0.602108\pi\)
−0.812892 + 0.582414i \(0.802108\pi\)
\(578\) 10457.7 + 1099.15i 0.752566 + 0.0790979i
\(579\) 19316.8 2623.91i 1.38649 0.188335i
\(580\) −5813.16 5221.95i −0.416170 0.373844i
\(581\) 2130.37 + 20269.1i 0.152122 + 1.44734i
\(582\) 526.115 + 549.866i 0.0374711 + 0.0391627i
\(583\) −10282.7 + 23095.4i −0.730477 + 1.64068i
\(584\) 855.146 + 2631.87i 0.0605928 + 0.186485i
\(585\) −3504.36 + 216.647i −0.247671 + 0.0153115i
\(586\) −166.303 + 511.829i −0.0117234 + 0.0360810i
\(587\) −7422.87 6683.58i −0.521933 0.469951i 0.365550 0.930792i \(-0.380881\pi\)
−0.887483 + 0.460841i \(0.847548\pi\)
\(588\) −2985.09 4826.59i −0.209359 0.338513i
\(589\) −7233.87 8034.03i −0.506055 0.562031i
\(590\) 7104.04 + 12271.5i 0.495709 + 0.856290i
\(591\) 280.592 + 9260.80i 0.0195296 + 0.644566i
\(592\) −4218.63 + 9475.19i −0.292879 + 0.657818i
\(593\) 4136.51i 0.286452i −0.989690 0.143226i \(-0.954252\pi\)
0.989690 0.143226i \(-0.0457477\pi\)
\(594\) 13728.9 14829.2i 0.948321 1.02432i
\(595\) 22609.9 2403.02i 1.55784 0.165570i
\(596\) −136.491 + 1298.62i −0.00938065 + 0.0892509i
\(597\) 14549.2 11259.3i 0.997419 0.771880i
\(598\) 4805.04 4326.47i 0.328583 0.295857i
\(599\) 4899.84 8486.77i 0.334227 0.578898i −0.649109 0.760695i \(-0.724858\pi\)
0.983336 + 0.181797i \(0.0581915\pi\)
\(600\) 3938.49 3785.97i 0.267980 0.257603i
\(601\) 264.517 + 458.157i 0.0179532 + 0.0310958i 0.874862 0.484371i \(-0.160952\pi\)
−0.856909 + 0.515467i \(0.827618\pi\)
\(602\) −21356.0 6938.99i −1.44586 0.469787i
\(603\) −3478.80 + 23196.7i −0.234938 + 1.56657i
\(604\) −73.4524 53.3663i −0.00494824 0.00359510i
\(605\) 1181.96 1630.82i 0.0794274 0.109591i
\(606\) 2778.77 15344.6i 0.186271 1.02860i
\(607\) 19495.4 + 11255.7i 1.30361 + 0.752642i 0.981022 0.193897i \(-0.0621126\pi\)
0.322592 + 0.946538i \(0.395446\pi\)
\(608\) −31366.5 + 3296.76i −2.09224 + 0.219903i
\(609\) 12895.0 + 6932.96i 0.858017 + 0.461310i
\(610\) −7439.82 5392.13i −0.493819 0.357903i
\(611\) −655.898 + 2018.65i −0.0434285 + 0.133659i
\(612\) 9551.79 9710.12i 0.630896 0.641353i
\(613\) 12348.7 4012.33i 0.813636 0.264366i 0.127499 0.991839i \(-0.459305\pi\)
0.686137 + 0.727473i \(0.259305\pi\)
\(614\) 10499.7 2231.79i 0.690121 0.146690i
\(615\) −5044.47 + 7423.32i −0.330752 + 0.486727i
\(616\) 7387.76 + 1570.32i 0.483217 + 0.102711i
\(617\) 26539.9 2789.46i 1.73170 0.182009i 0.814424 0.580271i \(-0.197053\pi\)
0.917272 + 0.398262i \(0.130387\pi\)
\(618\) −3955.40 + 13557.5i −0.257458 + 0.882467i
\(619\) −9671.86 4306.19i −0.628021 0.279613i 0.0679436 0.997689i \(-0.478356\pi\)
−0.695964 + 0.718076i \(0.745023\pi\)
\(620\) −4149.65 2389.36i −0.268796 0.154773i
\(621\) −19108.0 8826.54i −1.23475 0.570366i
\(622\) 4085.09 5622.64i 0.263339 0.362456i
\(623\) −7323.37 34453.8i −0.470955 2.21567i
\(624\) −4467.78 1303.47i −0.286625 0.0836225i
\(625\) −7875.43 13495.1i −0.504027 0.863688i
\(626\) −8761.82 + 15175.9i −0.559413 + 0.968932i
\(627\) 2172.55 29135.2i 0.138379 1.85574i
\(628\) 18873.6 + 1983.70i 1.19927 + 0.126048i
\(629\) −9593.13 6969.82i −0.608113 0.441820i
\(630\) 13868.6 21801.0i 0.877046 1.37868i
\(631\) 15197.3 11041.5i 0.958790 0.696601i 0.00592025 0.999982i \(-0.498116\pi\)
0.952869 + 0.303381i \(0.0981155\pi\)
\(632\) −9258.21 + 5345.23i −0.582709 + 0.336427i
\(633\) −13127.9 2377.35i −0.824310 0.149275i
\(634\) −26515.5 5636.03i −1.66098 0.353053i
\(635\) 11162.1 2386.15i 0.697564 0.149121i
\(636\) 8407.99 + 17442.9i 0.524212 + 1.08751i
\(637\) −1647.49 1483.41i −0.102474 0.0922680i
\(638\) 16709.5 5429.25i 1.03689 0.336906i
\(639\) −1557.65 + 1282.70i −0.0964317 + 0.0794100i
\(640\) 10548.0 4711.01i 0.651481 0.290967i
\(641\) −3159.96 + 3509.49i −0.194713 + 0.216250i −0.832593 0.553885i \(-0.813145\pi\)
0.637880 + 0.770135i \(0.279811\pi\)
\(642\) 9117.14 10764.1i 0.560475 0.661719i
\(643\) −10984.7 6342.03i −0.673709 0.388966i 0.123772 0.992311i \(-0.460501\pi\)
−0.797480 + 0.603345i \(0.793834\pi\)
\(644\) 2075.74 + 19749.3i 0.127012 + 1.20844i
\(645\) −2068.97 15099.6i −0.126303 0.921777i
\(646\) 4932.11 46925.9i 0.300389 2.85801i
\(647\) −11384.9 + 15670.0i −0.691790 + 0.952167i 0.308210 + 0.951318i \(0.400270\pi\)
−1.00000 0.000848737i \(0.999730\pi\)
\(648\) 741.079 + 6086.64i 0.0449264 + 0.368991i
\(649\) −13305.2 −0.804739
\(650\) −2682.74 + 4671.74i −0.161886 + 0.281909i
\(651\) 8612.43 + 2512.66i 0.518506 + 0.151273i
\(652\) 982.144 884.326i 0.0589934 0.0531179i
\(653\) −11768.9 26433.5i −0.705290 1.58411i −0.807856 0.589380i \(-0.799372\pi\)
0.102566 0.994726i \(-0.467295\pi\)
\(654\) 8587.92 20976.5i 0.513477 1.25420i
\(655\) −10876.8 14934.1i −0.648845 0.890875i
\(656\) −9624.73 + 6992.78i −0.572840 + 0.416192i
\(657\) −4776.81 + 7489.70i −0.283655 + 0.444751i
\(658\) −9181.21 12636.9i −0.543953 0.748687i
\(659\) 8514.38 9456.18i 0.503298 0.558969i −0.436939 0.899491i \(-0.643937\pi\)
0.940236 + 0.340523i \(0.110604\pi\)
\(660\) −3087.22 12566.9i −0.182076 0.741158i
\(661\) −4369.32 4852.63i −0.257106 0.285545i 0.600748 0.799438i \(-0.294869\pi\)
−0.857854 + 0.513893i \(0.828203\pi\)
\(662\) −6701.48 + 31528.0i −0.393445 + 1.85101i
\(663\) 2519.61 4686.38i 0.147592 0.274516i
\(664\) −7258.75 + 1542.90i −0.424238 + 0.0901747i
\(665\) −3947.94 37146.1i −0.230217 2.16611i
\(666\) −12986.8 + 3594.45i −0.755596 + 0.209133i
\(667\) −10756.1 14804.5i −0.624404 0.859418i
\(668\) −9524.49 + 5498.97i −0.551667 + 0.318505i
\(669\) 21000.1 + 17787.1i 1.21362 + 1.02793i
\(670\) 26774.0 + 24051.0i 1.54383 + 1.38682i
\(671\) 7876.44 3506.82i 0.453154 0.201757i
\(672\) 20698.9 16018.4i 1.18821 0.919529i
\(673\) −4889.50 23003.3i −0.280054 1.31755i −0.863067 0.505089i \(-0.831460\pi\)
0.583013 0.812463i \(-0.301874\pi\)
\(674\) −30109.7 −1.72075
\(675\) 17418.7 + 2033.95i 0.993251 + 0.115981i
\(676\) −11813.8 −0.672157
\(677\) 4727.85 + 22242.8i 0.268399 + 1.26272i 0.881300 + 0.472557i \(0.156669\pi\)
−0.612902 + 0.790159i \(0.709998\pi\)
\(678\) 3973.86 3075.28i 0.225096 0.174197i
\(679\) −834.097 + 371.364i −0.0471424 + 0.0209892i
\(680\) 1730.72 + 8096.02i 0.0976028 + 0.456571i
\(681\) −22317.5 18902.9i −1.25581 1.06367i
\(682\) 9323.81 5383.10i 0.523500 0.302243i
\(683\) −12048.3 16583.0i −0.674984 0.929036i 0.324876 0.945757i \(-0.394677\pi\)
−0.999860 + 0.0167204i \(0.994677\pi\)
\(684\) −15952.8 15692.7i −0.891772 0.877231i
\(685\) 16902.3 + 3572.14i 0.942782 + 0.199248i
\(686\) −12759.3 + 2712.06i −0.710132 + 0.150943i
\(687\) 3216.24 5982.08i 0.178613 0.332213i
\(688\) 4200.26 19760.7i 0.232752 1.09501i
\(689\) 5061.42 + 5621.28i 0.279862 + 0.310818i
\(690\) −27447.0 + 17019.3i −1.51433 + 0.939006i
\(691\) 17275.0 19185.8i 0.951043 1.05624i −0.0473110 0.998880i \(-0.515065\pi\)
0.998354 0.0573596i \(-0.0182682\pi\)
\(692\) 6747.98 + 9287.80i 0.370693 + 0.510216i
\(693\) 11184.3 + 21511.5i 0.613068 + 1.17915i
\(694\) 21938.0 15938.9i 1.19993 0.871802i
\(695\) 19630.2 + 6352.98i 1.07139 + 0.346737i
\(696\) −2019.77 + 4933.40i −0.109999 + 0.268678i
\(697\) −5532.09 12425.3i −0.300635 0.675238i
\(698\) 5415.41 4876.06i 0.293662 0.264415i
\(699\) −29301.6 8548.69i −1.58553 0.462577i
\(700\) −6764.85 15099.4i −0.365267 0.815290i
\(701\) 13783.7 0.742660 0.371330 0.928501i \(-0.378902\pi\)
0.371330 + 0.928501i \(0.378902\pi\)
\(702\) −2382.57 5557.25i −0.128098 0.298782i
\(703\) −11450.8 + 15760.6i −0.614330 + 0.845553i
\(704\) 779.873 7419.99i 0.0417508 0.397232i
\(705\) 5009.45 9343.43i 0.267612 0.499141i
\(706\) 1602.38 + 15245.6i 0.0854196 + 0.812713i
\(707\) 16202.6 + 9354.55i 0.861895 + 0.497615i
\(708\) −6586.55 + 7776.35i −0.349630 + 0.412787i
\(709\) −19523.9 + 21683.5i −1.03418 + 1.14858i −0.0454369 + 0.998967i \(0.514468\pi\)
−0.988745 + 0.149608i \(0.952199\pi\)
\(710\) 327.212 + 3078.74i 0.0172959 + 0.162736i
\(711\) −32138.0 12034.5i −1.69518 0.634781i
\(712\) 12197.6 3963.25i 0.642030 0.208608i
\(713\) −8333.24 7503.28i −0.437703 0.394110i
\(714\) 17002.3 + 35272.3i 0.891171 + 1.84879i
\(715\) −2532.63 4374.87i −0.132468 0.228827i
\(716\) 4307.51 + 915.589i 0.224831 + 0.0477893i
\(717\) −1940.08 351.332i −0.101051 0.0182995i
\(718\) −4282.57 + 2472.54i −0.222596 + 0.128516i
\(719\) −18759.0 + 13629.2i −0.973010 + 0.706933i −0.956136 0.292925i \(-0.905372\pi\)
−0.0168743 + 0.999858i \(0.505372\pi\)
\(720\) 20810.4 + 10358.6i 1.07717 + 0.536172i
\(721\) −13707.8 9959.30i −0.708052 0.514430i
\(722\) −51818.8 5446.37i −2.67104 0.280738i
\(723\) 1545.38 20724.5i 0.0794929 1.06605i
\(724\) −1888.66 + 3271.26i −0.0969498 + 0.167922i
\(725\) 12355.7 + 8933.08i 0.632938 + 0.457609i
\(726\) 3329.71 + 971.439i 0.170217 + 0.0496604i
\(727\) 1731.64 + 8146.75i 0.0883400 + 0.415607i 0.999989 + 0.00463779i \(0.00147626\pi\)
−0.911649 + 0.410969i \(0.865190\pi\)
\(728\) 1328.29 1828.23i 0.0676232 0.0930753i
\(729\) −13570.6 + 14256.9i −0.689458 + 0.724326i
\(730\) 5558.41 + 12445.4i 0.281817 + 0.630992i
\(731\) 21099.5 + 9394.10i 1.06757 + 0.475312i
\(732\) 1849.52 6339.44i 0.0933885 0.320099i
\(733\) 15316.9 1609.87i 0.771816 0.0811211i 0.289570 0.957157i \(-0.406488\pi\)
0.482246 + 0.876036i \(0.339821\pi\)
\(734\) 91.0260 + 19.3482i 0.00457743 + 0.000972962i
\(735\) 6787.09 + 8749.18i 0.340606 + 0.439072i
\(736\) −31999.0 + 6801.60i −1.60258 + 0.340639i
\(737\) −32118.3 + 10435.9i −1.60528 + 0.521587i
\(738\) −14961.9 3877.51i −0.746281 0.193405i
\(739\) −8366.83 + 25750.5i −0.416480 + 1.28179i 0.494440 + 0.869212i \(0.335373\pi\)
−0.910920 + 0.412583i \(0.864627\pi\)
\(740\) −2656.86 + 8209.47i −0.131984 + 0.407819i
\(741\) −7699.29 4139.50i −0.381701 0.205220i
\(742\) −55360.9 + 5818.66i −2.73903 + 0.287884i
\(743\) 12971.5 + 7489.11i 0.640483 + 0.369783i 0.784800 0.619749i \(-0.212765\pi\)
−0.144318 + 0.989531i \(0.546099\pi\)
\(744\) −582.091 + 3214.35i −0.0286835 + 0.158392i
\(745\) −2.96609 2547.78i −0.000145865 0.125293i
\(746\) 24975.6 + 18145.8i 1.22576 + 0.890570i
\(747\) −18635.7 14838.9i −0.912775 0.726810i
\(748\) 18650.7 + 6059.98i 0.911680 + 0.296223i
\(749\) 8462.01 + 14656.6i 0.412810 + 0.715009i
\(750\) 17319.4 20593.4i 0.843219 1.00262i
\(751\) −5862.63 + 10154.4i −0.284861 + 0.493393i −0.972575 0.232588i \(-0.925281\pi\)
0.687715 + 0.725981i \(0.258614\pi\)
\(752\) 10443.3 9403.19i 0.506420 0.455983i
\(753\) 27111.7 20981.2i 1.31209 1.01540i
\(754\) 549.487 5228.02i 0.0265400 0.252511i
\(755\) 153.520 + 88.3965i 0.00740021 + 0.00426103i
\(756\) 18109.2 + 4112.17i 0.871196 + 0.197828i
\(757\) 22283.8i 1.06991i 0.844882 + 0.534953i \(0.179671\pi\)
−0.844882 + 0.534953i \(0.820329\pi\)
\(758\) −6712.95 + 15077.5i −0.321669 + 0.722481i
\(759\) −917.763 30290.3i −0.0438903 1.44858i
\(760\) 13301.0 2843.41i 0.634840 0.135712i
\(761\) −13358.2 14835.8i −0.636314 0.706699i 0.335608 0.942002i \(-0.391058\pi\)
−0.971922 + 0.235303i \(0.924392\pi\)
\(762\) 10339.4 + 16717.8i 0.491545 + 0.794778i
\(763\) 20209.1 + 18196.3i 0.958870 + 0.863371i
\(764\) −8275.15 + 25468.3i −0.391865 + 1.20604i
\(765\) −16530.4 + 20809.6i −0.781252 + 0.983494i
\(766\) 8973.17 + 27616.6i 0.423255 + 1.30265i
\(767\) −1619.20 + 3636.79i −0.0762269 + 0.171208i
\(768\) 19269.2 + 20139.1i 0.905361 + 0.946232i
\(769\) 1120.36 + 10659.5i 0.0525371 + 0.499857i 0.988874 + 0.148755i \(0.0475265\pi\)
−0.936337 + 0.351103i \(0.885807\pi\)
\(770\) 37001.7 + 3845.49i 1.73175 + 0.179976i
\(771\) −6779.24 + 920.863i −0.316665 + 0.0430144i