Properties

Label 38.4.e.a.5.2
Level $38$
Weight $4$
Character 38.5
Analytic conductor $2.242$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.24207258022\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + 5157591 x^{4} - 11890401 x^{3} - 56759508 x^{2} + 62864118 x + 272110107\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 5.2
Root \(-4.05412 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 38.5
Dual form 38.4.e.a.23.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.87939 + 0.684040i) q^{2} +(0.0408138 - 0.231467i) q^{3} +(3.06418 - 2.57115i) q^{4} +(8.45426 + 7.09396i) q^{5} +(0.0816277 + 0.462933i) q^{6} +(9.26682 + 16.0506i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(25.3198 + 9.21565i) q^{9} +O(q^{10})\) \(q+(-1.87939 + 0.684040i) q^{2} +(0.0408138 - 0.231467i) q^{3} +(3.06418 - 2.57115i) q^{4} +(8.45426 + 7.09396i) q^{5} +(0.0816277 + 0.462933i) q^{6} +(9.26682 + 16.0506i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(25.3198 + 9.21565i) q^{9} +(-20.7414 - 7.54924i) q^{10} +(-6.98757 + 12.1028i) q^{11} +(-0.470075 - 0.814194i) q^{12} +(-9.37199 - 53.1512i) q^{13} +(-28.3952 - 23.8264i) q^{14} +(1.98707 - 1.66735i) q^{15} +(2.77837 - 15.7569i) q^{16} +(-7.65864 + 2.78752i) q^{17} -53.8895 q^{18} +(-31.6628 - 76.5275i) q^{19} +44.1450 q^{20} +(4.09339 - 1.48987i) q^{21} +(4.85351 - 27.5257i) q^{22} +(-93.7306 + 78.6493i) q^{23} +(1.44039 + 1.20863i) q^{24} +(-0.555893 - 3.15263i) q^{25} +(53.9711 + 93.4808i) q^{26} +(6.33952 - 10.9804i) q^{27} +(69.6637 + 25.3555i) q^{28} +(208.061 + 75.7281i) q^{29} +(-2.59393 + 4.49282i) q^{30} +(-23.1180 - 40.0415i) q^{31} +(5.55674 + 31.5138i) q^{32} +(2.51621 + 2.11135i) q^{33} +(12.4868 - 10.4776i) q^{34} +(-35.5183 + 201.434i) q^{35} +(101.279 - 36.8626i) q^{36} -99.6840 q^{37} +(111.855 + 122.166i) q^{38} -12.6852 q^{39} +(-82.9654 + 30.1969i) q^{40} +(55.1499 - 312.771i) q^{41} +(-6.67393 + 5.60009i) q^{42} +(-358.181 - 300.549i) q^{43} +(9.70703 + 55.0513i) q^{44} +(148.684 + 257.529i) q^{45} +(122.357 - 211.928i) q^{46} +(16.4020 + 5.96984i) q^{47} +(-3.53381 - 1.28620i) q^{48} +(-0.247862 + 0.429309i) q^{49} +(3.20126 + 5.54475i) q^{50} +(0.332639 + 1.88649i) q^{51} +(-165.377 - 138.768i) q^{52} +(33.9477 - 28.4855i) q^{53} +(-4.40338 + 24.9728i) q^{54} +(-144.932 + 52.7508i) q^{55} -148.269 q^{56} +(-19.0059 + 4.20551i) q^{57} -442.828 q^{58} +(-599.714 + 218.278i) q^{59} +(1.80173 - 10.2181i) q^{60} +(631.321 - 529.741i) q^{61} +(70.8376 + 59.4398i) q^{62} +(86.7172 + 491.798i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(297.819 - 515.838i) q^{65} +(-6.17318 - 2.24685i) q^{66} +(789.297 + 287.281i) q^{67} +(-16.3003 + 28.2330i) q^{68} +(14.3792 + 24.9055i) q^{69} +(-71.0366 - 402.869i) q^{70} +(-442.799 - 371.552i) q^{71} +(-165.127 + 138.558i) q^{72} +(-131.269 + 744.464i) q^{73} +(187.345 - 68.1878i) q^{74} -0.752416 q^{75} +(-293.784 - 153.084i) q^{76} -259.010 q^{77} +(23.8405 - 8.67721i) q^{78} +(58.9570 - 334.362i) q^{79} +(135.268 - 113.503i) q^{80} +(555.021 + 465.718i) q^{81} +(110.300 + 625.541i) q^{82} +(382.805 + 663.037i) q^{83} +(8.71220 - 15.0900i) q^{84} +(-84.5227 - 30.7637i) q^{85} +(878.748 + 319.838i) q^{86} +(26.0203 - 45.0685i) q^{87} +(-55.9006 - 96.8226i) q^{88} +(157.608 + 893.840i) q^{89} +(-455.596 - 382.290i) q^{90} +(766.260 - 642.969i) q^{91} +(-84.9880 + 481.991i) q^{92} +(-10.2118 + 3.71680i) q^{93} -34.9093 q^{94} +(275.198 - 871.598i) q^{95} +7.52120 q^{96} +(-1581.25 + 575.527i) q^{97} +(0.172163 - 0.976385i) q^{98} +(-288.459 + 242.046i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} + O(q^{10}) \) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} - 9q^{11} + 36q^{12} + 39q^{13} - 138q^{14} + 423q^{15} + 69q^{17} + 132q^{18} - 462q^{19} - 216q^{20} - 279q^{21} + 204q^{22} - 66q^{23} - 72q^{24} + 342q^{25} + 48q^{26} + 189q^{27} + 192q^{28} + 159q^{29} + 72q^{31} - 1560q^{33} + 408q^{34} - 135q^{35} - 108q^{36} + 1116q^{37} - 294q^{38} - 1248q^{39} + 147q^{41} + 414q^{42} - 117q^{43} + 408q^{44} + 1296q^{45} + 528q^{46} + 783q^{47} + 288q^{48} + 1413q^{49} - 354q^{50} - 2301q^{51} - 348q^{52} - 249q^{53} - 540q^{54} + 2187q^{55} - 336q^{56} - 2670q^{57} - 1932q^{58} - 4248q^{59} + 324q^{60} + 3114q^{61} - 438q^{62} + 363q^{63} - 384q^{64} + 495q^{65} + 822q^{66} + 3060q^{67} + 408q^{68} - 237q^{69} - 270q^{70} + 1686q^{71} + 432q^{72} + 1626q^{73} + 90q^{74} - 1854q^{75} - 1416q^{77} - 108q^{78} - 327q^{79} + 3483q^{81} + 294q^{82} + 927q^{83} + 204q^{84} - 3294q^{85} + 1188q^{86} + 2892q^{87} - 72q^{88} - 6366q^{89} - 5076q^{90} + 840q^{91} - 156q^{92} + 870q^{93} + 3432q^{94} + 513q^{95} - 576q^{96} - 8052q^{97} + 378q^{98} + 4494q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.87939 + 0.684040i −0.664463 + 0.241845i
\(3\) 0.0408138 0.231467i 0.00785462 0.0445458i −0.980629 0.195877i \(-0.937245\pi\)
0.988483 + 0.151331i \(0.0483559\pi\)
\(4\) 3.06418 2.57115i 0.383022 0.321394i
\(5\) 8.45426 + 7.09396i 0.756172 + 0.634503i 0.937127 0.348988i \(-0.113475\pi\)
−0.180956 + 0.983491i \(0.557919\pi\)
\(6\) 0.0816277 + 0.462933i 0.00555406 + 0.0314986i
\(7\) 9.26682 + 16.0506i 0.500361 + 0.866651i 1.00000 0.000417110i \(0.000132770\pi\)
−0.499639 + 0.866234i \(0.666534\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) 25.3198 + 9.21565i 0.937770 + 0.341320i
\(10\) −20.7414 7.54924i −0.655899 0.238728i
\(11\) −6.98757 + 12.1028i −0.191530 + 0.331740i −0.945758 0.324873i \(-0.894678\pi\)
0.754227 + 0.656613i \(0.228012\pi\)
\(12\) −0.470075 0.814194i −0.0113082 0.0195865i
\(13\) −9.37199 53.1512i −0.199948 1.13396i −0.905194 0.424998i \(-0.860275\pi\)
0.705246 0.708962i \(-0.250836\pi\)
\(14\) −28.3952 23.8264i −0.542067 0.454848i
\(15\) 1.98707 1.66735i 0.0342039 0.0287005i
\(16\) 2.77837 15.7569i 0.0434120 0.246202i
\(17\) −7.65864 + 2.78752i −0.109264 + 0.0397690i −0.396074 0.918219i \(-0.629628\pi\)
0.286809 + 0.957988i \(0.407405\pi\)
\(18\) −53.8895 −0.705660
\(19\) −31.6628 76.5275i −0.382313 0.924033i
\(20\) 44.1450 0.493556
\(21\) 4.09339 1.48987i 0.0425358 0.0154818i
\(22\) 4.85351 27.5257i 0.0470351 0.266749i
\(23\) −93.7306 + 78.6493i −0.849747 + 0.713022i −0.959734 0.280911i \(-0.909364\pi\)
0.109987 + 0.993933i \(0.464919\pi\)
\(24\) 1.44039 + 1.20863i 0.0122508 + 0.0102796i
\(25\) −0.555893 3.15263i −0.00444714 0.0252210i
\(26\) 53.9711 + 93.4808i 0.407100 + 0.705119i
\(27\) 6.33952 10.9804i 0.0451867 0.0782657i
\(28\) 69.6637 + 25.3555i 0.470186 + 0.171134i
\(29\) 208.061 + 75.7281i 1.33228 + 0.484909i 0.907372 0.420329i \(-0.138085\pi\)
0.424904 + 0.905238i \(0.360308\pi\)
\(30\) −2.59393 + 4.49282i −0.0157862 + 0.0273424i
\(31\) −23.1180 40.0415i −0.133939 0.231989i 0.791253 0.611490i \(-0.209429\pi\)
−0.925192 + 0.379500i \(0.876096\pi\)
\(32\) 5.55674 + 31.5138i 0.0306970 + 0.174091i
\(33\) 2.51621 + 2.11135i 0.0132732 + 0.0111376i
\(34\) 12.4868 10.4776i 0.0629842 0.0528500i
\(35\) −35.5183 + 201.434i −0.171534 + 0.972818i
\(36\) 101.279 36.8626i 0.468885 0.170660i
\(37\) −99.6840 −0.442917 −0.221459 0.975170i \(-0.571082\pi\)
−0.221459 + 0.975170i \(0.571082\pi\)
\(38\) 111.855 + 122.166i 0.477506 + 0.521525i
\(39\) −12.6852 −0.0520837
\(40\) −82.9654 + 30.1969i −0.327950 + 0.119364i
\(41\) 55.1499 312.771i 0.210072 1.19138i −0.679183 0.733969i \(-0.737666\pi\)
0.889255 0.457411i \(-0.151223\pi\)
\(42\) −6.67393 + 5.60009i −0.0245193 + 0.0205741i
\(43\) −358.181 300.549i −1.27028 1.06589i −0.994507 0.104669i \(-0.966622\pi\)
−0.275773 0.961223i \(-0.588934\pi\)
\(44\) 9.70703 + 55.0513i 0.0332589 + 0.188620i
\(45\) 148.684 + 257.529i 0.492546 + 0.853115i
\(46\) 122.357 211.928i 0.392185 0.679284i
\(47\) 16.4020 + 5.96984i 0.0509037 + 0.0185274i 0.367347 0.930084i \(-0.380266\pi\)
−0.316443 + 0.948612i \(0.602489\pi\)
\(48\) −3.53381 1.28620i −0.0106263 0.00386765i
\(49\) −0.247862 + 0.429309i −0.000722629 + 0.00125163i
\(50\) 3.20126 + 5.54475i 0.00905453 + 0.0156829i
\(51\) 0.332639 + 1.88649i 0.000913310 + 0.00517964i
\(52\) −165.377 138.768i −0.441032 0.370070i
\(53\) 33.9477 28.4855i 0.0879825 0.0738261i −0.597736 0.801693i \(-0.703933\pi\)
0.685718 + 0.727867i \(0.259488\pi\)
\(54\) −4.40338 + 24.9728i −0.0110968 + 0.0629328i
\(55\) −144.932 + 52.7508i −0.355320 + 0.129326i
\(56\) −148.269 −0.353809
\(57\) −19.0059 + 4.20551i −0.0441647 + 0.00977252i
\(58\) −442.828 −1.00252
\(59\) −599.714 + 218.278i −1.32332 + 0.481650i −0.904522 0.426427i \(-0.859772\pi\)
−0.418802 + 0.908078i \(0.637550\pi\)
\(60\) 1.80173 10.2181i 0.00387670 0.0219858i
\(61\) 631.321 529.741i 1.32512 1.11191i 0.339928 0.940451i \(-0.389597\pi\)
0.985192 0.171456i \(-0.0548472\pi\)
\(62\) 70.8376 + 59.4398i 0.145103 + 0.121756i
\(63\) 86.7172 + 491.798i 0.173418 + 0.983503i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) 297.819 515.838i 0.568307 0.984336i
\(66\) −6.17318 2.24685i −0.0115131 0.00419043i
\(67\) 789.297 + 287.281i 1.43922 + 0.523835i 0.939560 0.342385i \(-0.111235\pi\)
0.499664 + 0.866219i \(0.333457\pi\)
\(68\) −16.3003 + 28.2330i −0.0290692 + 0.0503493i
\(69\) 14.3792 + 24.9055i 0.0250877 + 0.0434532i
\(70\) −71.0366 402.869i −0.121293 0.687886i
\(71\) −442.799 371.552i −0.740149 0.621059i 0.192729 0.981252i \(-0.438266\pi\)
−0.932878 + 0.360193i \(0.882711\pi\)
\(72\) −165.127 + 138.558i −0.270283 + 0.226795i
\(73\) −131.269 + 744.464i −0.210464 + 1.19360i 0.678142 + 0.734931i \(0.262785\pi\)
−0.888606 + 0.458671i \(0.848326\pi\)
\(74\) 187.345 68.1878i 0.294302 0.107117i
\(75\) −0.752416 −0.00115842
\(76\) −293.784 153.084i −0.443413 0.231052i
\(77\) −259.010 −0.383337
\(78\) 23.8405 8.67721i 0.0346077 0.0125962i
\(79\) 58.9570 334.362i 0.0839643 0.476185i −0.913611 0.406589i \(-0.866718\pi\)
0.997575 0.0695958i \(-0.0221709\pi\)
\(80\) 135.268 113.503i 0.189043 0.158626i
\(81\) 555.021 + 465.718i 0.761346 + 0.638845i
\(82\) 110.300 + 625.541i 0.148544 + 0.842433i
\(83\) 382.805 + 663.037i 0.506244 + 0.876841i 0.999974 + 0.00722548i \(0.00229996\pi\)
−0.493730 + 0.869616i \(0.664367\pi\)
\(84\) 8.71220 15.0900i 0.0113164 0.0196006i
\(85\) −84.5227 30.7637i −0.107856 0.0392564i
\(86\) 878.748 + 319.838i 1.10183 + 0.401035i
\(87\) 26.0203 45.0685i 0.0320652 0.0555385i
\(88\) −55.9006 96.8226i −0.0677161 0.117288i
\(89\) 157.608 + 893.840i 0.187713 + 1.06457i 0.922420 + 0.386188i \(0.126208\pi\)
−0.734707 + 0.678384i \(0.762681\pi\)
\(90\) −455.596 382.290i −0.533600 0.447744i
\(91\) 766.260 642.969i 0.882702 0.740675i
\(92\) −84.9880 + 481.991i −0.0963110 + 0.546207i
\(93\) −10.2118 + 3.71680i −0.0113862 + 0.00414424i
\(94\) −34.9093 −0.0383044
\(95\) 275.198 871.598i 0.297207 0.941306i
\(96\) 7.52120 0.00799614
\(97\) −1581.25 + 575.527i −1.65517 + 0.602432i −0.989592 0.143898i \(-0.954036\pi\)
−0.665576 + 0.746330i \(0.731814\pi\)
\(98\) 0.172163 0.976385i 0.000177460 0.00100643i
\(99\) −288.459 + 242.046i −0.292841 + 0.245723i
\(100\) −9.80923 8.23092i −0.00980923 0.00823092i
\(101\) −209.868 1190.22i −0.206759 1.17259i −0.894648 0.446771i \(-0.852574\pi\)
0.687889 0.725816i \(-0.258537\pi\)
\(102\) −1.91559 3.31790i −0.00185953 0.00322080i
\(103\) 24.0814 41.7103i 0.0230370 0.0399013i −0.854277 0.519818i \(-0.826000\pi\)
0.877314 + 0.479917i \(0.159333\pi\)
\(104\) 405.730 + 147.674i 0.382549 + 0.139237i
\(105\) 45.1757 + 16.4426i 0.0419876 + 0.0152822i
\(106\) −44.3155 + 76.7568i −0.0406066 + 0.0703328i
\(107\) −436.087 755.325i −0.394001 0.682430i 0.598972 0.800770i \(-0.295576\pi\)
−0.992973 + 0.118340i \(0.962243\pi\)
\(108\) −8.80677 49.9457i −0.00784659 0.0445002i
\(109\) −432.221 362.677i −0.379810 0.318698i 0.432818 0.901481i \(-0.357519\pi\)
−0.812628 + 0.582783i \(0.801964\pi\)
\(110\) 236.299 198.278i 0.204820 0.171864i
\(111\) −4.06848 + 23.0735i −0.00347895 + 0.0197301i
\(112\) 278.655 101.422i 0.235093 0.0855668i
\(113\) −2333.39 −1.94254 −0.971270 0.237982i \(-0.923514\pi\)
−0.971270 + 0.237982i \(0.923514\pi\)
\(114\) 32.8426 20.9046i 0.0269824 0.0171745i
\(115\) −1350.36 −1.09497
\(116\) 832.245 302.912i 0.666138 0.242454i
\(117\) 252.526 1432.15i 0.199539 1.13164i
\(118\) 977.782 820.457i 0.762815 0.640078i
\(119\) −115.713 97.0944i −0.0891374 0.0747952i
\(120\) 3.60345 + 20.4362i 0.00274124 + 0.0155463i
\(121\) 567.848 + 983.541i 0.426632 + 0.738949i
\(122\) −824.130 + 1427.44i −0.611584 + 1.05929i
\(123\) −70.1451 25.5307i −0.0514209 0.0187157i
\(124\) −173.790 63.2546i −0.125862 0.0458099i
\(125\) 707.430 1225.31i 0.506196 0.876757i
\(126\) −499.384 864.959i −0.353085 0.611561i
\(127\) 328.791 + 1864.67i 0.229729 + 1.30286i 0.853436 + 0.521197i \(0.174514\pi\)
−0.623708 + 0.781658i \(0.714374\pi\)
\(128\) 98.0537 + 82.2768i 0.0677094 + 0.0568149i
\(129\) −84.1859 + 70.6404i −0.0574586 + 0.0482135i
\(130\) −206.863 + 1173.18i −0.139562 + 0.791497i
\(131\) 2141.57 779.468i 1.42832 0.519866i 0.491871 0.870668i \(-0.336313\pi\)
0.936450 + 0.350802i \(0.114091\pi\)
\(132\) 13.1387 0.00866348
\(133\) 934.899 1217.37i 0.609519 0.793682i
\(134\) −1679.91 −1.08300
\(135\) 131.490 47.8585i 0.0838287 0.0305112i
\(136\) 11.3221 64.2107i 0.00713868 0.0404855i
\(137\) −1225.56 + 1028.37i −0.764281 + 0.641308i −0.939238 0.343268i \(-0.888466\pi\)
0.174956 + 0.984576i \(0.444022\pi\)
\(138\) −44.0604 36.9711i −0.0271788 0.0228057i
\(139\) 298.632 + 1693.63i 0.182228 + 1.03346i 0.929466 + 0.368908i \(0.120268\pi\)
−0.747238 + 0.664556i \(0.768621\pi\)
\(140\) 409.084 + 708.554i 0.246956 + 0.427741i
\(141\) 2.05125 3.55286i 0.00122515 0.00212202i
\(142\) 1086.35 + 395.398i 0.642001 + 0.233669i
\(143\) 708.767 + 257.970i 0.414476 + 0.150857i
\(144\) 215.558 373.358i 0.124744 0.216063i
\(145\) 1221.79 + 2116.20i 0.699753 + 1.21201i
\(146\) −262.538 1488.93i −0.148821 0.844003i
\(147\) 0.0892546 + 0.0748935i 5.00789e−5 + 4.20212e-5i
\(148\) −305.449 + 256.302i −0.169647 + 0.142351i
\(149\) −413.264 + 2343.74i −0.227221 + 1.28863i 0.631173 + 0.775642i \(0.282574\pi\)
−0.858394 + 0.512991i \(0.828537\pi\)
\(150\) 1.41408 0.514683i 0.000769728 0.000280158i
\(151\) 2143.06 1.15497 0.577483 0.816402i \(-0.304035\pi\)
0.577483 + 0.816402i \(0.304035\pi\)
\(152\) 656.850 + 86.7435i 0.350510 + 0.0462883i
\(153\) −219.604 −0.116039
\(154\) 486.780 177.173i 0.254713 0.0927080i
\(155\) 88.6078 502.520i 0.0459171 0.260409i
\(156\) −38.8698 + 32.6157i −0.0199492 + 0.0167394i
\(157\) 634.917 + 532.758i 0.322751 + 0.270820i 0.789738 0.613444i \(-0.210216\pi\)
−0.466988 + 0.884264i \(0.654661\pi\)
\(158\) 117.914 + 668.723i 0.0593717 + 0.336714i
\(159\) −5.20790 9.02036i −0.00259757 0.00449912i
\(160\) −176.580 + 305.845i −0.0872492 + 0.151120i
\(161\) −2130.95 775.604i −1.04312 0.379665i
\(162\) −1361.67 495.607i −0.660387 0.240361i
\(163\) 1147.65 1987.79i 0.551477 0.955186i −0.446691 0.894688i \(-0.647398\pi\)
0.998168 0.0604981i \(-0.0192689\pi\)
\(164\) −635.191 1100.18i −0.302440 0.523841i
\(165\) 6.29484 + 35.6998i 0.00297002 + 0.0168438i
\(166\) −1172.98 984.249i −0.548440 0.460196i
\(167\) 503.571 422.546i 0.233338 0.195794i −0.518620 0.855005i \(-0.673554\pi\)
0.751958 + 0.659211i \(0.229110\pi\)
\(168\) −6.05143 + 34.3194i −0.00277904 + 0.0157607i
\(169\) −672.711 + 244.847i −0.306195 + 0.111446i
\(170\) 179.894 0.0811604
\(171\) −96.4456 2229.45i −0.0431309 0.997021i
\(172\) −1870.29 −0.829117
\(173\) 154.152 56.1066i 0.0677453 0.0246573i −0.307925 0.951411i \(-0.599635\pi\)
0.375670 + 0.926753i \(0.377412\pi\)
\(174\) −18.0735 + 102.500i −0.00787443 + 0.0446581i
\(175\) 45.4502 38.1372i 0.0196326 0.0164737i
\(176\) 171.289 + 143.729i 0.0733603 + 0.0615566i
\(177\) 26.0475 + 147.723i 0.0110613 + 0.0627317i
\(178\) −907.629 1572.06i −0.382189 0.661971i
\(179\) −283.414 + 490.888i −0.118343 + 0.204976i −0.919111 0.393998i \(-0.871092\pi\)
0.800768 + 0.598974i \(0.204425\pi\)
\(180\) 1117.74 + 406.825i 0.462842 + 0.168461i
\(181\) −1099.80 400.296i −0.451645 0.164385i 0.106175 0.994347i \(-0.466140\pi\)
−0.557820 + 0.829962i \(0.688362\pi\)
\(182\) −1000.28 + 1732.54i −0.407394 + 0.705628i
\(183\) −96.8508 167.750i −0.0391225 0.0677621i
\(184\) −169.976 963.982i −0.0681022 0.386227i
\(185\) −842.754 707.154i −0.334922 0.281033i
\(186\) 16.6495 13.9706i 0.00656344 0.00550738i
\(187\) 19.7785 112.169i 0.00773446 0.0438643i
\(188\) 65.6079 23.8793i 0.0254519 0.00926372i
\(189\) 234.989 0.0904387
\(190\) 79.0059 + 1826.32i 0.0301668 + 0.697341i
\(191\) 1297.38 0.491493 0.245747 0.969334i \(-0.420967\pi\)
0.245747 + 0.969334i \(0.420967\pi\)
\(192\) −14.1352 + 5.14480i −0.00531314 + 0.00193382i
\(193\) −343.453 + 1947.82i −0.128095 + 0.726462i 0.851327 + 0.524636i \(0.175799\pi\)
−0.979421 + 0.201826i \(0.935313\pi\)
\(194\) 2578.09 2163.27i 0.954103 0.800587i
\(195\) −107.244 89.9886i −0.0393842 0.0330473i
\(196\) 0.344326 + 1.95277i 0.000125483 + 0.000711651i
\(197\) −1167.66 2022.45i −0.422297 0.731439i 0.573867 0.818948i \(-0.305443\pi\)
−0.996164 + 0.0875092i \(0.972109\pi\)
\(198\) 376.557 652.215i 0.135155 0.234096i
\(199\) −2447.67 890.879i −0.871914 0.317351i −0.132972 0.991120i \(-0.542452\pi\)
−0.738942 + 0.673769i \(0.764674\pi\)
\(200\) 24.0656 + 8.75917i 0.00850848 + 0.00309683i
\(201\) 98.7102 170.971i 0.0346392 0.0599968i
\(202\) 1208.58 + 2093.32i 0.420968 + 0.729137i
\(203\) 712.584 + 4041.27i 0.246373 + 1.39725i
\(204\) 5.86971 + 4.92528i 0.00201452 + 0.00169038i
\(205\) 2685.03 2253.01i 0.914785 0.767596i
\(206\) −16.7268 + 94.8623i −0.00565733 + 0.0320843i
\(207\) −3098.04 + 1127.60i −1.04024 + 0.378615i
\(208\) −863.538 −0.287863
\(209\) 1147.45 + 151.532i 0.379763 + 0.0501515i
\(210\) −96.1500 −0.0315951
\(211\) −4731.31 + 1722.05i −1.54368 + 0.561854i −0.966924 0.255063i \(-0.917904\pi\)
−0.576756 + 0.816917i \(0.695682\pi\)
\(212\) 30.7812 174.569i 0.00997200 0.0565540i
\(213\) −104.074 + 87.3287i −0.0334791 + 0.0280923i
\(214\) 1336.25 + 1121.25i 0.426842 + 0.358163i
\(215\) −896.066 5081.84i −0.284238 1.61199i
\(216\) 50.7162 + 87.8430i 0.0159759 + 0.0276711i
\(217\) 428.461 742.115i 0.134036 0.232157i
\(218\) 1060.40 + 385.953i 0.329445 + 0.119908i
\(219\) 166.961 + 60.7688i 0.0515168 + 0.0187506i
\(220\) −308.466 + 534.279i −0.0945308 + 0.163732i
\(221\) 219.937 + 380.941i 0.0669436 + 0.115950i
\(222\) −8.13697 46.1470i −0.00245999 0.0139513i
\(223\) 2869.68 + 2407.95i 0.861741 + 0.723087i 0.962342 0.271840i \(-0.0876322\pi\)
−0.100601 + 0.994927i \(0.532077\pi\)
\(224\) −454.323 + 381.222i −0.135517 + 0.113712i
\(225\) 14.9784 84.9468i 0.00443805 0.0251694i
\(226\) 4385.34 1596.13i 1.29075 0.469793i
\(227\) 1621.77 0.474187 0.237093 0.971487i \(-0.423805\pi\)
0.237093 + 0.971487i \(0.423805\pi\)
\(228\) −47.4243 + 61.7534i −0.0137752 + 0.0179374i
\(229\) 3975.70 1.14726 0.573628 0.819116i \(-0.305536\pi\)
0.573628 + 0.819116i \(0.305536\pi\)
\(230\) 2537.84 923.699i 0.727567 0.264813i
\(231\) −10.5712 + 59.9522i −0.00301097 + 0.0170760i
\(232\) −1356.90 + 1138.58i −0.383988 + 0.322204i
\(233\) −1051.68 882.463i −0.295698 0.248120i 0.482853 0.875702i \(-0.339601\pi\)
−0.778551 + 0.627581i \(0.784045\pi\)
\(234\) 505.052 + 2864.29i 0.141095 + 0.800191i
\(235\) 96.3168 + 166.826i 0.0267362 + 0.0463085i
\(236\) −1276.40 + 2210.80i −0.352063 + 0.609791i
\(237\) −74.9873 27.2932i −0.0205525 0.00748051i
\(238\) 283.885 + 103.326i 0.0773174 + 0.0281412i
\(239\) −2494.88 + 4321.27i −0.675233 + 1.16954i 0.301168 + 0.953571i \(0.402624\pi\)
−0.976401 + 0.215967i \(0.930710\pi\)
\(240\) −20.7515 35.9426i −0.00558125 0.00966701i
\(241\) −239.897 1360.52i −0.0641209 0.363648i −0.999938 0.0111609i \(-0.996447\pi\)
0.935817 0.352487i \(-0.114664\pi\)
\(242\) −1739.99 1460.02i −0.462192 0.387825i
\(243\) 392.694 329.509i 0.103668 0.0869878i
\(244\) 572.435 3246.44i 0.150190 0.851771i
\(245\) −5.14099 + 1.87117i −0.00134059 + 0.000487937i
\(246\) 149.294 0.0386936
\(247\) −3770.79 + 2400.13i −0.971374 + 0.618287i
\(248\) 369.888 0.0947093
\(249\) 169.095 61.5455i 0.0430359 0.0156638i
\(250\) −491.376 + 2786.73i −0.124309 + 0.704994i
\(251\) 268.214 225.058i 0.0674482 0.0565958i −0.608440 0.793600i \(-0.708205\pi\)
0.675889 + 0.737004i \(0.263760\pi\)
\(252\) 1530.20 + 1283.99i 0.382515 + 0.320968i
\(253\) −296.930 1683.97i −0.0737858 0.418460i
\(254\) −1893.43 3279.52i −0.467735 0.810140i
\(255\) −10.5705 + 18.3086i −0.00259588 + 0.00449619i
\(256\) −240.561 87.5572i −0.0587308 0.0213763i
\(257\) 2359.48 + 858.780i 0.572686 + 0.208441i 0.612097 0.790782i \(-0.290326\pi\)
−0.0394114 + 0.999223i \(0.512548\pi\)
\(258\) 109.897 190.347i 0.0265189 0.0459321i
\(259\) −923.753 1599.99i −0.221619 0.383855i
\(260\) −413.726 2346.36i −0.0986855 0.559673i
\(261\) 4570.18 + 3834.84i 1.08386 + 0.909466i
\(262\) −3491.65 + 2929.84i −0.823339 + 0.690864i
\(263\) 815.637 4625.71i 0.191233 1.08454i −0.726448 0.687221i \(-0.758830\pi\)
0.917682 0.397317i \(-0.130059\pi\)
\(264\) −24.6927 + 8.98742i −0.00575656 + 0.00209522i
\(265\) 489.077 0.113373
\(266\) −924.302 + 2927.42i −0.213055 + 0.674782i
\(267\) 213.327 0.0488966
\(268\) 3157.19 1149.12i 0.719612 0.261917i
\(269\) −393.217 + 2230.05i −0.0891259 + 0.505458i 0.907264 + 0.420562i \(0.138167\pi\)
−0.996390 + 0.0848964i \(0.972944\pi\)
\(270\) −214.384 + 179.889i −0.0483221 + 0.0405471i
\(271\) −1781.25 1494.65i −0.399274 0.335031i 0.420939 0.907089i \(-0.361701\pi\)
−0.820213 + 0.572058i \(0.806145\pi\)
\(272\) 22.6442 + 128.421i 0.00504781 + 0.0286275i
\(273\) −117.552 203.606i −0.0260607 0.0451384i
\(274\) 1599.85 2771.03i 0.352740 0.610963i
\(275\) 42.0400 + 15.3013i 0.00921858 + 0.00335529i
\(276\) 108.096 + 39.3438i 0.0235747 + 0.00858050i
\(277\) 3127.59 5417.15i 0.678407 1.17504i −0.297053 0.954861i \(-0.596004\pi\)
0.975460 0.220175i \(-0.0706629\pi\)
\(278\) −1719.75 2978.70i −0.371022 0.642628i
\(279\) −216.334 1226.89i −0.0464214 0.263269i
\(280\) −1253.50 1051.82i −0.267540 0.224493i
\(281\) −5454.65 + 4577.00i −1.15800 + 0.971675i −0.999876 0.0157444i \(-0.994988\pi\)
−0.158121 + 0.987420i \(0.550544\pi\)
\(282\) −1.42478 + 8.08033i −0.000300867 + 0.00170630i
\(283\) −6279.63 + 2285.60i −1.31903 + 0.480088i −0.903147 0.429331i \(-0.858750\pi\)
−0.415883 + 0.909418i \(0.636527\pi\)
\(284\) −2312.13 −0.483098
\(285\) −190.514 99.2724i −0.0395968 0.0206329i
\(286\) −1508.51 −0.311888
\(287\) 5531.22 2013.20i 1.13762 0.414061i
\(288\) −149.725 + 849.133i −0.0306341 + 0.173735i
\(289\) −3712.69 + 3115.32i −0.755687 + 0.634097i
\(290\) −3743.78 3141.41i −0.758078 0.636103i
\(291\) 68.6786 + 389.495i 0.0138351 + 0.0784626i
\(292\) 1511.90 + 2618.68i 0.303004 + 0.524818i
\(293\) 1295.02 2243.04i 0.258211 0.447235i −0.707552 0.706662i \(-0.750200\pi\)
0.965763 + 0.259427i \(0.0835336\pi\)
\(294\) −0.218974 0.0797000i −4.34382e−5 1.58102e-5i
\(295\) −6618.59 2408.97i −1.30627 0.475443i
\(296\) 398.736 690.631i 0.0782975 0.135615i
\(297\) 88.5957 + 153.452i 0.0173092 + 0.0299805i
\(298\) −826.528 4687.47i −0.160669 0.911201i
\(299\) 5058.75 + 4244.79i 0.978444 + 0.821012i
\(300\) −2.30554 + 1.93458i −0.000443701 + 0.000372309i
\(301\) 1504.80 8534.15i 0.288157 1.63422i
\(302\) −4027.64 + 1465.94i −0.767433 + 0.279323i
\(303\) −284.062 −0.0538578
\(304\) −1293.81 + 286.287i −0.244096 + 0.0540122i
\(305\) 9095.31 1.70753
\(306\) 412.720 150.218i 0.0771035 0.0280634i
\(307\) 1333.22 7561.07i 0.247853 1.40565i −0.565919 0.824461i \(-0.691478\pi\)
0.813772 0.581185i \(-0.197411\pi\)
\(308\) −793.653 + 665.954i −0.146827 + 0.123202i
\(309\) −8.67168 7.27641i −0.00159649 0.00133961i
\(310\) 177.216 + 1005.04i 0.0324683 + 0.184137i
\(311\) 2748.80 + 4761.07i 0.501191 + 0.868088i 0.999999 + 0.00137581i \(0.000437934\pi\)
−0.498808 + 0.866712i \(0.666229\pi\)
\(312\) 50.7410 87.8859i 0.00920718 0.0159473i
\(313\) 3427.01 + 1247.33i 0.618869 + 0.225250i 0.632380 0.774659i \(-0.282078\pi\)
−0.0135102 + 0.999909i \(0.504301\pi\)
\(314\) −1557.68 566.950i −0.279952 0.101894i
\(315\) −2755.66 + 4772.95i −0.492902 + 0.853731i
\(316\) −679.040 1176.13i −0.120883 0.209375i
\(317\) 596.154 + 3380.96i 0.105626 + 0.599033i 0.990969 + 0.134094i \(0.0428126\pi\)
−0.885343 + 0.464939i \(0.846076\pi\)
\(318\) 15.9579 + 13.3903i 0.00281408 + 0.00236129i
\(319\) −2370.37 + 1988.97i −0.416035 + 0.349095i
\(320\) 122.651 695.589i 0.0214263 0.121514i
\(321\) −192.631 + 70.1120i −0.0334941 + 0.0121909i
\(322\) 4535.43 0.784936
\(323\) 455.816 + 497.836i 0.0785210 + 0.0857596i
\(324\) 2898.11 0.496933
\(325\) −162.356 + 59.0928i −0.0277104 + 0.0100858i
\(326\) −797.148 + 4520.85i −0.135429 + 0.768058i
\(327\) −101.588 + 85.2426i −0.0171799 + 0.0144157i
\(328\) 1946.34 + 1633.17i 0.327648 + 0.274929i
\(329\) 56.1748 + 318.583i 0.00941343 + 0.0533862i
\(330\) −36.2506 62.7878i −0.00604705 0.0104738i
\(331\) −1193.15 + 2066.59i −0.198131 + 0.343173i −0.947922 0.318501i \(-0.896821\pi\)
0.749791 + 0.661674i \(0.230154\pi\)
\(332\) 2877.75 + 1047.42i 0.475714 + 0.173146i
\(333\) −2523.98 918.653i −0.415355 0.151177i
\(334\) −657.365 + 1138.59i −0.107693 + 0.186530i
\(335\) 4634.96 + 8027.99i 0.755925 + 1.30930i
\(336\) −12.1029 68.6387i −0.00196507 0.0111445i
\(337\) 1309.35 + 1098.67i 0.211646 + 0.177592i 0.742448 0.669904i \(-0.233665\pi\)
−0.530802 + 0.847496i \(0.678109\pi\)
\(338\) 1096.80 920.322i 0.176503 0.148103i
\(339\) −95.2346 + 540.102i −0.0152579 + 0.0865319i
\(340\) −338.091 + 123.055i −0.0539281 + 0.0196282i
\(341\) 646.154 0.102614
\(342\) 1706.30 + 4124.03i 0.269783 + 0.652053i
\(343\) 6347.85 0.999276
\(344\) 3514.99 1279.35i 0.550917 0.200518i
\(345\) −55.1133 + 312.563i −0.00860058 + 0.0487763i
\(346\) −251.331 + 210.892i −0.0390510 + 0.0327677i
\(347\) −2323.51 1949.66i −0.359460 0.301622i 0.445116 0.895473i \(-0.353163\pi\)
−0.804575 + 0.593851i \(0.797607\pi\)
\(348\) −36.1470 205.000i −0.00556806 0.0315780i
\(349\) −1030.90 1785.57i −0.158117 0.273866i 0.776073 0.630643i \(-0.217209\pi\)
−0.934190 + 0.356777i \(0.883876\pi\)
\(350\) −59.3310 + 102.764i −0.00906107 + 0.0156942i
\(351\) −643.034 234.045i −0.0977852 0.0355909i
\(352\) −420.235 152.953i −0.0636323 0.0231603i
\(353\) −3674.57 + 6364.55i −0.554045 + 0.959634i 0.443932 + 0.896060i \(0.353583\pi\)
−0.997977 + 0.0635736i \(0.979750\pi\)
\(354\) −150.001 259.810i −0.0225211 0.0390078i
\(355\) −1107.76 6282.40i −0.165616 0.939254i
\(356\) 2781.14 + 2333.65i 0.414045 + 0.347425i
\(357\) −27.1968 + 22.8208i −0.00403195 + 0.00338321i
\(358\) 196.857 1116.43i 0.0290621 0.164819i
\(359\) −616.056 + 224.226i −0.0905687 + 0.0329643i −0.386907 0.922119i \(-0.626457\pi\)
0.296338 + 0.955083i \(0.404234\pi\)
\(360\) −2378.95 −0.348283
\(361\) −4853.93 + 4846.16i −0.707673 + 0.706540i
\(362\) 2340.77 0.339857
\(363\) 250.833 91.2958i 0.0362681 0.0132005i
\(364\) 694.788 3940.34i 0.100046 0.567390i
\(365\) −6390.98 + 5362.67i −0.916491 + 0.769027i
\(366\) 296.768 + 249.018i 0.0423834 + 0.0355639i
\(367\) −2136.09 12114.4i −0.303823 1.72307i −0.628992 0.777412i \(-0.716532\pi\)
0.325169 0.945656i \(-0.394579\pi\)
\(368\) 978.853 + 1695.42i 0.138658 + 0.240163i
\(369\) 4278.77 7411.04i 0.603642 1.04554i
\(370\) 2067.58 + 752.538i 0.290509 + 0.105737i
\(371\) 771.796 + 280.911i 0.108004 + 0.0393104i
\(372\) −21.7344 + 37.6450i −0.00302923 + 0.00524679i
\(373\) −511.270 885.546i −0.0709720 0.122927i 0.828356 0.560203i \(-0.189277\pi\)
−0.899328 + 0.437276i \(0.855943\pi\)
\(374\) 39.5569 + 224.338i 0.00546909 + 0.0310167i
\(375\) −254.744 213.756i −0.0350799 0.0294355i
\(376\) −106.968 + 89.7570i −0.0146714 + 0.0123108i
\(377\) 2075.09 11768.4i 0.283482 1.60771i
\(378\) −441.634 + 160.742i −0.0600932 + 0.0218721i
\(379\) 1217.86 0.165058 0.0825292 0.996589i \(-0.473700\pi\)
0.0825292 + 0.996589i \(0.473700\pi\)
\(380\) −1397.76 3378.31i −0.188693 0.456062i
\(381\) 445.028 0.0598411
\(382\) −2438.28 + 887.461i −0.326579 + 0.118865i
\(383\) −1784.08 + 10118.0i −0.238021 + 1.34988i 0.598136 + 0.801394i \(0.295908\pi\)
−0.836157 + 0.548490i \(0.815203\pi\)
\(384\) 23.0463 19.3381i 0.00306270 0.00256991i
\(385\) −2189.74 1837.41i −0.289869 0.243229i
\(386\) −686.906 3895.64i −0.0905767 0.513686i
\(387\) −6299.30 10910.7i −0.827420 1.43313i
\(388\) −3365.46 + 5829.14i −0.440348 + 0.762706i
\(389\) −13812.6 5027.38i −1.80033 0.655265i −0.998320 0.0579490i \(-0.981544\pi\)
−0.802006 0.597316i \(-0.796234\pi\)
\(390\) 263.109 + 95.7639i 0.0341617 + 0.0124338i
\(391\) 498.613 863.623i 0.0644909 0.111701i
\(392\) −1.98289 3.43447i −0.000255488 0.000442518i
\(393\) −93.0153 527.516i −0.0119389 0.0677090i
\(394\) 3577.92 + 3002.23i 0.457495 + 0.383884i
\(395\) 2870.39 2408.54i 0.365633 0.306802i
\(396\) −261.554 + 1483.34i −0.0331908 + 0.188234i
\(397\) 2178.71 792.986i 0.275432 0.100249i −0.200611 0.979671i \(-0.564293\pi\)
0.476043 + 0.879422i \(0.342071\pi\)
\(398\) 5209.51 0.656104
\(399\) −243.625 266.084i −0.0305677 0.0333856i
\(400\) −51.2202 −0.00640252
\(401\) −3690.36 + 1343.18i −0.459571 + 0.167270i −0.561422 0.827529i \(-0.689746\pi\)
0.101851 + 0.994800i \(0.467523\pi\)
\(402\) −68.5634 + 388.842i −0.00850654 + 0.0482430i
\(403\) −1911.59 + 1604.02i −0.236286 + 0.198268i
\(404\) −3703.31 3107.44i −0.456055 0.382676i
\(405\) 1388.50 + 7874.60i 0.170359 + 0.966153i
\(406\) −4103.61 7107.66i −0.501623 0.868836i
\(407\) 696.549 1206.46i 0.0848320 0.146933i
\(408\) −14.4005 5.24137i −0.00174738 0.000635996i
\(409\) 2465.59 + 897.403i 0.298083 + 0.108493i 0.486732 0.873551i \(-0.338189\pi\)
−0.188650 + 0.982044i \(0.560411\pi\)
\(410\) −3505.06 + 6070.95i −0.422202 + 0.731275i
\(411\) 188.013 + 325.648i 0.0225644 + 0.0390828i
\(412\) −33.4536 189.725i −0.00400034 0.0226870i
\(413\) −9060.93 7603.02i −1.07956 0.905860i
\(414\) 5051.10 4238.37i 0.599632 0.503151i
\(415\) −1467.23 + 8321.09i −0.173551 + 0.984256i
\(416\) 1622.92 590.695i 0.191275 0.0696183i
\(417\) 404.207 0.0474678
\(418\) −2260.15 + 500.113i −0.264467 + 0.0585199i
\(419\) 4324.14 0.504172 0.252086 0.967705i \(-0.418883\pi\)
0.252086 + 0.967705i \(0.418883\pi\)
\(420\) 180.703 65.7705i 0.0209938 0.00764112i
\(421\) −2157.09 + 12233.4i −0.249715 + 1.41620i 0.559568 + 0.828785i \(0.310967\pi\)
−0.809283 + 0.587419i \(0.800144\pi\)
\(422\) 7713.99 6472.81i 0.889837 0.746662i
\(423\) 360.279 + 302.310i 0.0414122 + 0.0347490i
\(424\) 61.5625 + 349.138i 0.00705127 + 0.0399897i
\(425\) 13.0454 + 22.5953i 0.00148893 + 0.00257890i
\(426\) 135.859 235.315i 0.0154517 0.0267631i
\(427\) 14353.0 + 5224.06i 1.62667 + 0.592061i
\(428\) −3278.30 1193.20i −0.370240 0.134756i
\(429\) 88.6390 153.527i 0.00997560 0.0172782i
\(430\) 5160.24 + 8937.79i 0.578718 + 1.00237i
\(431\) −1450.91 8228.49i −0.162152 0.919612i −0.951952 0.306247i \(-0.900927\pi\)
0.789800 0.613365i \(-0.210184\pi\)
\(432\) −155.403 130.399i −0.0173075 0.0145227i
\(433\) 3540.14 2970.53i 0.392906 0.329687i −0.424838 0.905269i \(-0.639669\pi\)
0.817744 + 0.575582i \(0.195224\pi\)
\(434\) −297.606 + 1687.81i −0.0329160 + 0.186676i
\(435\) 539.697 196.434i 0.0594861 0.0216512i
\(436\) −2256.90 −0.247903
\(437\) 8986.62 + 4682.71i 0.983726 + 0.512596i
\(438\) −355.352 −0.0387657
\(439\) 8675.58 3157.65i 0.943196 0.343295i 0.175769 0.984431i \(-0.443759\pi\)
0.767427 + 0.641136i \(0.221537\pi\)
\(440\) 214.258 1215.12i 0.0232145 0.131656i
\(441\) −10.2322 + 8.58581i −0.00110487 + 0.000927093i
\(442\) −673.925 565.490i −0.0725234 0.0608543i
\(443\) 1008.67 + 5720.46i 0.108179 + 0.613516i 0.989903 + 0.141749i \(0.0452725\pi\)
−0.881723 + 0.471767i \(0.843616\pi\)
\(444\) 46.8589 + 81.1621i 0.00500862 + 0.00867518i
\(445\) −5008.41 + 8674.82i −0.533531 + 0.924103i
\(446\) −7040.38 2562.49i −0.747470 0.272057i
\(447\) 525.630 + 191.314i 0.0556185 + 0.0202435i
\(448\) 593.076 1027.24i 0.0625451 0.108331i
\(449\) −3910.06 6772.41i −0.410973 0.711826i 0.584023 0.811737i \(-0.301478\pi\)
−0.994996 + 0.0999106i \(0.968144\pi\)
\(450\) 29.9568 + 169.894i 0.00313817 + 0.0177975i
\(451\) 3400.04 + 2852.98i 0.354993 + 0.297875i
\(452\) −7149.92 + 5999.50i −0.744036 + 0.624320i
\(453\) 87.4666 496.048i 0.00907183 0.0514489i
\(454\) −3047.92 + 1109.35i −0.315080 + 0.114680i
\(455\) 11039.4 1.13743
\(456\) 46.8868 148.499i 0.00481508 0.0152502i
\(457\) −9140.92 −0.935654 −0.467827 0.883820i \(-0.654963\pi\)
−0.467827 + 0.883820i \(0.654963\pi\)
\(458\) −7471.87 + 2719.54i −0.762309 + 0.277458i
\(459\) −17.9441 + 101.766i −0.00182475 + 0.0103487i
\(460\) −4137.74 + 3471.97i −0.419398 + 0.351916i
\(461\) 9792.35 + 8216.76i 0.989317 + 0.830136i 0.985469 0.169857i \(-0.0543306\pi\)
0.00384843 + 0.999993i \(0.498775\pi\)
\(462\) −21.1424 119.904i −0.00212908 0.0120746i
\(463\) 439.731 + 761.636i 0.0441383 + 0.0764498i 0.887251 0.461288i \(-0.152612\pi\)
−0.843112 + 0.537738i \(0.819279\pi\)
\(464\) 1771.31 3068.00i 0.177222 0.306958i
\(465\) −112.700 41.0195i −0.0112394 0.00409083i
\(466\) 2580.15 + 939.097i 0.256487 + 0.0933537i
\(467\) 4012.07 6949.11i 0.397552 0.688580i −0.595872 0.803080i \(-0.703193\pi\)
0.993423 + 0.114500i \(0.0365266\pi\)
\(468\) −2908.48 5037.63i −0.287274 0.497574i
\(469\) 2703.25 + 15330.9i 0.266150 + 1.50941i
\(470\) −295.132 247.645i −0.0289647 0.0243043i
\(471\) 149.229 125.218i 0.0145990 0.0122500i
\(472\) 886.581 5028.05i 0.0864580 0.490328i
\(473\) 6140.31 2234.89i 0.596896 0.217252i
\(474\) 159.600 0.0154655
\(475\) −223.662 + 142.362i −0.0216048 + 0.0137516i
\(476\) −604.208 −0.0581803
\(477\) 1122.06 408.396i 0.107706 0.0392017i
\(478\) 1732.93 9827.93i 0.165821 0.940416i
\(479\) 13205.1 11080.4i 1.25962 1.05695i 0.263898 0.964551i \(-0.414992\pi\)
0.995722 0.0923959i \(-0.0294525\pi\)
\(480\) 63.5861 + 53.3551i 0.00604645 + 0.00507358i
\(481\) 934.237 + 5298.32i 0.0885604 + 0.502251i
\(482\) 1381.51 + 2392.85i 0.130552 + 0.226123i
\(483\) −266.499 + 461.589i −0.0251058 + 0.0434846i
\(484\) 4268.82 + 1553.72i 0.400903 + 0.145917i
\(485\) −17451.0 6351.66i −1.63384 0.594668i
\(486\) −512.625 + 887.893i −0.0478460 + 0.0828717i
\(487\) 1115.87 + 1932.74i 0.103829 + 0.179837i 0.913259 0.407379i \(-0.133557\pi\)
−0.809430 + 0.587216i \(0.800224\pi\)
\(488\) 1144.87 + 6492.88i 0.106200 + 0.602293i
\(489\) −413.266 346.772i −0.0382179 0.0320686i
\(490\) 8.38194 7.03329i 0.000772771 0.000648432i
\(491\) −1756.20 + 9959.88i −0.161418 + 0.915444i 0.791264 + 0.611475i \(0.209423\pi\)
−0.952682 + 0.303970i \(0.901688\pi\)
\(492\) −280.580 + 102.123i −0.0257105 + 0.00935784i
\(493\) −1804.56 −0.164855
\(494\) 5444.97 7090.15i 0.495913 0.645750i
\(495\) −4155.77 −0.377350
\(496\) −695.162 + 253.018i −0.0629308 + 0.0229049i
\(497\) 1860.30 10550.3i 0.167899 0.952204i
\(498\) −275.695 + 231.335i −0.0248076 + 0.0208160i
\(499\) 1283.66 + 1077.12i 0.115159 + 0.0966303i 0.698549 0.715562i \(-0.253829\pi\)
−0.583389 + 0.812193i \(0.698274\pi\)
\(500\) −982.752 5573.46i −0.0879000 0.498506i
\(501\) −77.2527 133.806i −0.00688901 0.0119321i
\(502\) −350.128 + 606.440i −0.0311295 + 0.0539178i
\(503\) −13636.1 4963.14i −1.20876 0.439951i −0.342484 0.939524i \(-0.611268\pi\)
−0.866272 + 0.499573i \(0.833490\pi\)
\(504\) −3754.14 1366.40i −0.331791 0.120762i
\(505\) 6669.10 11551.2i 0.587665 1.01787i
\(506\) 1709.95 + 2961.72i 0.150230 + 0.260207i
\(507\) 29.2180 + 165.703i 0.00255940 + 0.0145151i
\(508\) 5801.82 + 4868.30i 0.506721 + 0.425189i
\(509\) −10257.8 + 8607.34i −0.893262 + 0.749536i −0.968862 0.247602i \(-0.920357\pi\)
0.0755995 + 0.997138i \(0.475913\pi\)
\(510\) 7.34217 41.6395i 0.000637484 0.00361535i
\(511\) −13165.5 + 4791.86i −1.13974 + 0.414833i
\(512\) 512.000 0.0441942
\(513\) −1041.03 137.478i −0.0895955 0.0118320i
\(514\) −5021.81 −0.430939
\(515\) 499.482 181.796i 0.0427375 0.0155552i
\(516\) −76.3336 + 432.909i −0.00651240 + 0.0369337i
\(517\) −186.862 + 156.796i −0.0158959 + 0.0133382i
\(518\) 2830.54 + 2375.11i 0.240091 + 0.201460i
\(519\) −6.69529 37.9709i −0.000566263 0.00321144i
\(520\) 2382.56 + 4126.71i 0.200927 + 0.348015i
\(521\) 2387.24 4134.82i 0.200743 0.347697i −0.748025 0.663670i \(-0.768998\pi\)
0.948768 + 0.315974i \(0.102331\pi\)
\(522\) −11212.3 4080.95i −0.940134 0.342181i
\(523\) 10609.1 + 3861.39i 0.887004 + 0.322843i 0.745033 0.667028i \(-0.232434\pi\)
0.141971 + 0.989871i \(0.454656\pi\)
\(524\) 4558.03 7894.73i 0.379997 0.658174i
\(525\) −6.97250 12.0767i −0.000579629 0.00100395i
\(526\) 1631.27 + 9251.42i 0.135222 + 0.766884i
\(527\) 288.669 + 242.222i 0.0238608 + 0.0200215i
\(528\) 40.2594 33.7816i 0.00331830 0.00278439i
\(529\) 486.934 2761.54i 0.0400208 0.226969i
\(530\) −919.164 + 334.548i −0.0753320 + 0.0274186i
\(531\) −17196.2 −1.40537
\(532\) −265.356 6134.02i −0.0216253 0.499894i
\(533\) −17141.0 −1.39298
\(534\) −400.923 + 145.924i −0.0324900 + 0.0118254i
\(535\) 1671.46 9479.30i 0.135072 0.766030i
\(536\) −5147.53 + 4319.29i −0.414812 + 0.348069i
\(537\) 102.057 + 85.6360i 0.00820127 + 0.00688168i
\(538\) −786.434 4460.09i −0.0630215 0.357413i
\(539\) −3.46390 5.99965i −0.000276810 0.000479450i
\(540\) 279.858 484.728i 0.0223022 0.0386285i
\(541\) 16307.1 + 5935.30i 1.29593 + 0.471679i 0.895668 0.444723i \(-0.146698\pi\)
0.400259 + 0.916402i \(0.368920\pi\)
\(542\) 4370.06 + 1590.57i 0.346328 + 0.126053i
\(543\) −137.542 + 238.230i −0.0108702 + 0.0188277i
\(544\) −130.402 225.864i −0.0102775 0.0178012i
\(545\) −1081.29 6132.32i −0.0849863 0.481981i
\(546\) 360.200 + 302.243i 0.0282328 + 0.0236902i
\(547\) 1716.71 1440.49i 0.134189 0.112598i −0.573223 0.819400i \(-0.694307\pi\)
0.707412 + 0.706802i \(0.249863\pi\)
\(548\) −1111.25 + 6302.19i −0.0866243 + 0.491271i
\(549\) 20866.8 7594.90i 1.62217 0.590423i
\(550\) −89.4761 −0.00693686
\(551\) −792.526 18320.2i −0.0612754 1.41645i
\(552\) −230.067 −0.0177397
\(553\) 5913.05 2152.17i 0.454699 0.165497i
\(554\) −2172.40 + 12320.3i −0.166600 + 0.944837i
\(555\) −198.079 + 166.208i −0.0151495 + 0.0127119i
\(556\) 5269.63 + 4421.75i 0.401946 + 0.337273i
\(557\) 234.400 + 1329.35i 0.0178310 + 0.101124i 0.992424 0.122857i \(-0.0392056\pi\)
−0.974593 + 0.223981i \(0.928095\pi\)
\(558\) 1245.82 + 2157.82i 0.0945155 + 0.163706i
\(559\) −12617.7 + 21854.5i −0.954690 + 1.65357i
\(560\) 3075.30 + 1119.32i 0.232063 + 0.0844640i
\(561\) −25.1562 9.15611i −0.00189322 0.000689075i
\(562\) 7120.54 12333.1i 0.534452 0.925698i
\(563\) −8911.18 15434.6i −0.667072 1.15540i −0.978719 0.205204i \(-0.934214\pi\)
0.311648 0.950198i \(-0.399119\pi\)
\(564\) −2.84956 16.1607i −0.000212745 0.00120654i
\(565\) −19727.1 16553.0i −1.46889 1.23255i
\(566\) 10238.4 8591.05i 0.760340 0.638001i
\(567\) −2331.77 + 13224.1i −0.172708 + 0.979474i
\(568\) 4345.39 1581.59i 0.321001 0.116835i
\(569\) −8579.20 −0.632090 −0.316045 0.948744i \(-0.602355\pi\)
−0.316045 + 0.948744i \(0.602355\pi\)
\(570\) 425.956 + 56.2517i 0.0313006 + 0.00413355i
\(571\) −19827.3 −1.45314 −0.726572 0.687090i \(-0.758888\pi\)
−0.726572 + 0.687090i \(0.758888\pi\)
\(572\) 2835.07 1031.88i 0.207238 0.0754285i
\(573\) 52.9511 300.301i 0.00386050 0.0218940i
\(574\) −9018.19 + 7567.16i −0.655770 + 0.550256i
\(575\) 300.056 + 251.777i 0.0217621 + 0.0182606i
\(576\) −299.450 1698.27i −0.0216616 0.122849i
\(577\) 5655.66 + 9795.89i 0.408056 + 0.706773i 0.994672 0.103092i \(-0.0328735\pi\)
−0.586616 + 0.809865i \(0.699540\pi\)
\(578\) 4846.57 8394.51i 0.348773 0.604093i
\(579\) 436.838 + 158.996i 0.0313547 + 0.0114122i
\(580\) 9184.86 + 3343.02i 0.657553 + 0.239330i
\(581\) −7094.77 + 12288.5i −0.506610 + 0.877474i
\(582\) −395.504 685.033i −0.0281687 0.0487896i
\(583\) 107.543 + 609.907i 0.00763976 + 0.0433272i
\(584\) −4632.72 3887.31i −0.328259 0.275442i
\(585\) 12294.5 10316.3i 0.868915 0.729106i
\(586\) −899.511 + 5101.38i −0.0634104 + 0.359618i
\(587\) 2841.65 1034.28i 0.199808 0.0727242i −0.240178 0.970729i \(-0.577206\pi\)
0.439986 + 0.898005i \(0.354983\pi\)
\(588\) 0.466054 3.26867e−5
\(589\) −2332.30 + 3036.99i −0.163159 + 0.212457i
\(590\) 14086.7 0.982950
\(591\) −515.786 + 187.731i −0.0358995 + 0.0130664i
\(592\) −276.959 + 1570.71i −0.0192279 + 0.109047i
\(593\) 10073.3 8452.51i 0.697574 0.585334i −0.223509 0.974702i \(-0.571751\pi\)
0.921082 + 0.389368i \(0.127307\pi\)
\(594\) −271.473 227.793i −0.0187520 0.0157348i
\(595\) −289.480 1641.72i −0.0199454 0.113116i
\(596\) 4759.79 + 8244.19i 0.327128 + 0.566603i
\(597\) −306.108 + 530.194i −0.0209852 + 0.0363474i
\(598\) −12410.9 4517.21i −0.848698 0.308901i
\(599\) 20547.7 + 7478.75i 1.40160 + 0.510140i 0.928652 0.370952i \(-0.120969\pi\)
0.472945 + 0.881092i \(0.343191\pi\)
\(600\) 3.00966 5.21289i 0.000204782 0.000354692i
\(601\) 4936.16 + 8549.68i 0.335025 + 0.580281i 0.983490 0.180964i \(-0.0579218\pi\)
−0.648464 + 0.761245i \(0.724588\pi\)
\(602\) 3009.60 + 17068.3i 0.203758 + 1.15557i
\(603\) 17337.4 + 14547.8i 1.17087 + 0.982473i
\(604\) 6566.73 5510.14i 0.442378 0.371199i
\(605\) −2176.47 + 12343.4i −0.146258 + 0.829472i
\(606\) 533.861 194.310i 0.0357865 0.0130252i
\(607\) −2036.42 −0.136171 −0.0680854 0.997679i \(-0.521689\pi\)
−0.0680854 + 0.997679i \(0.521689\pi\)
\(608\) 2235.73 1423.06i 0.149130 0.0949223i
\(609\) 964.502 0.0641767
\(610\) −17093.6 + 6221.56i −1.13459 + 0.412956i
\(611\) 163.585 927.734i 0.0108313 0.0614274i
\(612\) −672.906 + 564.635i −0.0444454 + 0.0372941i
\(613\) 8305.63 + 6969.25i 0.547245 + 0.459193i 0.874007 0.485914i \(-0.161513\pi\)
−0.326762 + 0.945107i \(0.605958\pi\)
\(614\) 2666.44 + 15122.1i 0.175259 + 0.993942i
\(615\) −411.911 713.450i −0.0270079 0.0467790i
\(616\) 1036.04 1794.48i 0.0677650 0.117372i
\(617\) 9571.42 + 3483.71i 0.624524 + 0.227308i 0.634846 0.772639i \(-0.281064\pi\)
−0.0103224 + 0.999947i \(0.503286\pi\)
\(618\) 21.2748 + 7.74339i 0.00138479 + 0.000504021i
\(619\) 2752.31 4767.14i 0.178715 0.309544i −0.762726 0.646722i \(-0.776139\pi\)
0.941441 + 0.337178i \(0.109473\pi\)
\(620\) −1020.54 1767.63i −0.0661065 0.114500i
\(621\) 269.392 + 1527.80i 0.0174079 + 0.0987252i
\(622\) −8422.83 7067.59i −0.542966 0.455602i
\(623\) −12886.2 + 10812.8i −0.828688 + 0.695352i
\(624\) −35.2443 + 199.880i −0.00226106 + 0.0128231i
\(625\) 14297.0 5203.70i 0.915011 0.333037i
\(626\) −7293.90 −0.465691
\(627\) 81.9062 259.411i 0.00521693 0.0165229i
\(628\) 3315.30 0.210661
\(629\) 763.444 277.871i 0.0483951 0.0176144i
\(630\) 1914.06 10855.2i 0.121045 0.686479i
\(631\) 14640.2 12284.6i 0.923639 0.775025i −0.0510254 0.998697i \(-0.516249\pi\)
0.974664 + 0.223672i \(0.0718045\pi\)
\(632\) 2080.70 + 1745.91i 0.130958 + 0.109887i
\(633\) 205.496 + 1165.42i 0.0129032 + 0.0731776i
\(634\) −3433.12 5946.33i −0.215057 0.372490i
\(635\) −10448.2 + 18096.8i −0.652952 + 1.13095i
\(636\) −39.1506 14.2497i −0.00244092 0.000888421i
\(637\) 25.1412 + 9.15067i 0.00156379 + 0.000569172i
\(638\) 3094.29 5359.47i 0.192013 0.332576i
\(639\) −7787.48 13488.3i −0.482109 0.835038i
\(640\) 245.302 + 1391.18i 0.0151507 + 0.0859237i
\(641\) −19570.2 16421.3i −1.20589 1.01186i −0.999442 0.0334040i \(-0.989365\pi\)
−0.206448 0.978458i \(-0.566190\pi\)
\(642\) 314.069 263.535i 0.0193073 0.0162008i
\(643\) −1731.70 + 9820.96i −0.106208 + 0.602334i 0.884523 + 0.466496i \(0.154484\pi\)
−0.990731 + 0.135838i \(0.956627\pi\)
\(644\) −8523.81 + 3102.41i −0.521561 + 0.189833i
\(645\) −1212.85 −0.0740401
\(646\) −1197.19 623.829i −0.0729148 0.0379942i
\(647\) −18928.1 −1.15014 −0.575069 0.818105i \(-0.695025\pi\)
−0.575069 + 0.818105i \(0.695025\pi\)
\(648\) −5446.67 + 1982.43i −0.330194 + 0.120181i
\(649\) 1548.76 8783.46i 0.0936737 0.531250i
\(650\) 264.708 222.116i 0.0159734 0.0134032i
\(651\) −154.288 129.463i −0.00928882 0.00779424i
\(652\) −1594.30 9041.70i −0.0957630 0.543099i
\(653\) 7077.11 + 12257.9i 0.424118 + 0.734593i 0.996338 0.0855069i \(-0.0272510\pi\)
−0.572220 + 0.820100i \(0.693918\pi\)
\(654\) 132.614 229.694i 0.00792908 0.0137336i
\(655\) 23634.9 + 8602.41i 1.40991 + 0.513166i
\(656\) −4775.08 1737.99i −0.284200 0.103440i
\(657\) −10184.4 + 17639.9i −0.604767 + 1.04749i
\(658\) −323.498 560.315i −0.0191660 0.0331966i
\(659\) −5614.83 31843.3i −0.331901 1.88230i −0.455915 0.890023i \(-0.650688\pi\)
0.124014 0.992280i \(-0.460423\pi\)
\(660\) 111.078 + 93.2056i 0.00655108 + 0.00549701i
\(661\) 14185.2 11902.8i 0.834705 0.700401i −0.121661 0.992572i \(-0.538822\pi\)
0.956366 + 0.292171i \(0.0943776\pi\)
\(662\) 828.753 4700.09i 0.0486562 0.275943i
\(663\) 97.1517 35.3603i 0.00569089 0.00207131i
\(664\) −6124.88 −0.357969
\(665\) 16539.9 3659.86i 0.964495 0.213418i
\(666\) 5371.92 0.312549
\(667\) −25457.7 + 9265.83i −1.47785 + 0.537893i
\(668\) 456.601 2589.51i 0.0264467 0.149987i
\(669\) 674.483 565.959i 0.0389791 0.0327074i
\(670\) −14202.3 11917.2i −0.818932 0.687166i
\(671\) 1999.96 + 11342.4i 0.115064 + 0.652559i
\(672\) 69.6976 + 120.720i 0.00400096 + 0.00692986i
\(673\) 16513.0 28601.3i 0.945806 1.63818i 0.191678 0.981458i \(-0.438607\pi\)
0.754129 0.656727i \(-0.228059\pi\)
\(674\) −3212.30 1169.18i −0.183580 0.0668178i
\(675\) −38.1411 13.8822i −0.00217489 0.000791596i
\(676\) −1431.77 + 2479.89i −0.0814615 + 0.141095i
\(677\) 5465.42 + 9466.39i 0.310271 + 0.537404i 0.978421 0.206622i \(-0.0662470\pi\)
−0.668150 + 0.744026i \(0.732914\pi\)
\(678\) −190.469 1080.20i −0.0107890 0.0611873i
\(679\) −23890.7 20046.7i −1.35028 1.13302i
\(680\) 551.228 462.535i 0.0310862 0.0260844i
\(681\) 66.1905 375.385i 0.00372456 0.0211230i
\(682\) −1214.37 + 441.996i −0.0681829 + 0.0248166i
\(683\) 16689.0 0.934972 0.467486 0.884000i \(-0.345160\pi\)
0.467486 + 0.884000i \(0.345160\pi\)
\(684\) −6027.79 6583.47i −0.336957 0.368019i
\(685\) −17656.4 −0.984840
\(686\) −11930.1 + 4342.19i −0.663982 + 0.241670i
\(687\) 162.263 920.242i 0.00901126 0.0511054i
\(688\) −5730.89 + 4808.79i −0.317570 + 0.266473i
\(689\) −1832.19 1537.39i −0.101308 0.0850073i
\(690\) −110.227 625.126i −0.00608153 0.0344900i
\(691\) −11592.8 20079.2i −0.638219 1.10543i −0.985823 0.167786i \(-0.946338\pi\)
0.347605 0.937641i \(-0.386995\pi\)
\(692\) 328.089 568.268i 0.0180232 0.0312172i
\(693\) −6558.08 2386.95i −0.359482 0.130841i
\(694\) 5700.41 + 2074.78i 0.311793 + 0.113484i
\(695\) −9489.82 + 16436.8i −0.517941 + 0.897101i
\(696\) 208.163 + 360.548i 0.0113368 + 0.0196358i
\(697\) 449.480 + 2549.13i 0.0244265 + 0.138530i
\(698\) 3158.86 + 2650.60i 0.171296 + 0.143734i
\(699\) −247.184 + 207.412i −0.0133753 + 0.0112232i
\(700\) 41.2109 233.719i 0.00222518 0.0126196i
\(701\) 765.089 278.470i 0.0412225 0.0150038i −0.321327 0.946968i \(-0.604129\pi\)
0.362549 + 0.931965i \(0.381907\pi\)
\(702\) 1368.60 0.0735821
\(703\) 3156.28 + 7628.57i 0.169333 + 0.409270i
\(704\) 894.409 0.0478825
\(705\) 42.5456 15.4853i 0.00227285 0.000827251i
\(706\) 2552.33 14475.0i 0.136060 0.771634i
\(707\) 17158.9 14398.1i 0.912770 0.765905i
\(708\) 459.631 + 385.676i 0.0243983 + 0.0204726i
\(709\) 3036.16 + 17218.9i 0.160826 + 0.912088i 0.953265 + 0.302137i \(0.0977000\pi\)
−0.792439 + 0.609951i \(0.791189\pi\)
\(710\) 6379.31 + 11049.3i 0.337199 + 0.584046i
\(711\) 4574.14 7922.64i 0.241271 0.417893i
\(712\) −6823.14 2483.42i −0.359140 0.130716i
\(713\) 5316.10 + 1934.90i 0.279228 + 0.101631i
\(714\) 35.5029 61.4928i 0.00186087 0.00322312i
\(715\) 4162.07 + 7208.91i 0.217696 + 0.377060i
\(716\) 393.715 + 2232.87i 0.0205500 + 0.116545i
\(717\) 898.404 + 753.850i 0.0467943 + 0.0392651i
\(718\) 1004.43 842.814i 0.0522073 0.0438071i
\(719\) −4348.35 + 24660.7i −0.225544 + 1.27912i 0.636099 + 0.771607i \(0.280547\pi\)
−0.861643 + 0.507515i \(0.830564\pi\)
\(720\) 4470.97 1627.30i 0.231421 0.0842303i
\(721\) 892.633 0.0461074
\(722\) 5807.43 12428.1i 0.299349 0.640617i
\(723\) −324.707 −0.0167026
\(724\) −4399.21 + 1601.18i −0.225822 + 0.0821927i
\(725\) 123.083 698.036i 0.00630507 0.0357578i
\(726\) −408.962 + 343.160i −0.0209063 + 0.0175425i
\(727\) −22177.1 18608.8i −1.13137 0.949329i −0.132243 0.991217i \(-0.542218\pi\)
−0.999122 + 0.0418888i \(0.986662\pi\)
\(728\) 1389.58 + 7880.68i 0.0707433 + 0.401205i
\(729\) 9720.89 + 16837.1i 0.493872 + 0.855412i
\(730\) 8342.83 14450.2i 0.422989 0.732639i
\(731\) 3580.96 + 1303.36i 0.181186 + 0.0659462i
\(732\) −728.080 264.999i −0.0367631 0.0133807i
\(733\) 15781.1 27333.6i 0.795208 1.37734i −0.127499 0.991839i \(-0.540695\pi\)
0.922707 0.385502i \(-0.125972\pi\)
\(734\) 12301.3 + 21306.4i 0.618594 + 1.07144i
\(735\) 0.223289 + 1.26634i 1.12057e−5 + 6.35504e-5i
\(736\) −2999.38 2516.78i −0.150215 0.126046i
\(737\) −8992.18 + 7545.33i −0.449432 + 0.377118i
\(738\) −2972.00 + 16855.1i −0.148240 + 0.840709i
\(739\) −14618.3 + 5320.64i −0.727665 + 0.264848i −0.679176 0.733975i \(-0.737663\pi\)
−0.0484889 + 0.998824i \(0.515441\pi\)
\(740\) −4400.55 −0.218605
\(741\) 401.651 + 970.770i 0.0199123 + 0.0481270i
\(742\) −1642.66 −0.0812720
\(743\) 2523.72 918.561i 0.124612 0.0453549i −0.278962 0.960302i \(-0.589990\pi\)
0.403573 + 0.914947i \(0.367768\pi\)
\(744\) 15.0965 85.6167i 0.000743906 0.00421890i
\(745\) −20120.2 + 16882.9i −0.989460 + 0.830256i
\(746\) 1566.62 + 1314.55i 0.0768876 + 0.0645163i
\(747\) 3582.22 + 20315.8i 0.175457 + 0.995067i
\(748\) −227.799 394.560i −0.0111352 0.0192868i
\(749\) 8082.28 13998.9i 0.394286 0.682923i
\(750\) 624.981 + 227.474i 0.0304281 + 0.0110749i
\(751\) 30036.0 + 10932.2i 1.45942 + 0.531187i 0.945207 0.326473i \(-0.105860\pi\)
0.514218 + 0.857660i \(0.328082\pi\)
\(752\) 139.637 241.858i 0.00677133 0.0117283i
\(753\) −41.1466 71.2681i −0.00199132 0.00344907i
\(754\) 4150.18 + 23536.9i 0.200452 + 1.13682i
\(755\) 18118.0 + 15202.8i 0.873353 + 0.732830i
\(756\) 720.047 604.191i 0.0346400 0.0290664i
\(757\) 567.601 3219.03i 0.0272521 0.154554i −0.968145 0.250390i \(-0.919441\pi\)
0.995397 + 0.0958356i \(0.0305523\pi\)
\(758\) −2288.82 + 833.063i −0.109675 + 0.0399185i
\(759\) −401.902 −0.0192202
\(760\) 4937.82 + 5393.02i 0.235676 + 0.257402i
\(761\) 21394.1 1.01910 0.509549 0.860441i \(-0.329812\pi\)
0.509549 + 0.860441i \(0.329812\pi\)
\(762\) −836.379 + 304.417i −0.0397622 + 0.0144723i
\(763\) 1815.86 10298.3i 0.0861581 0.488627i
\(764\) 3975.41 3335.76i 0.188253 0.157963i
\(765\) −1856.59 1557.86i −0.0877452 0.0736270i
\(766\) −3568.15 20236.0i −0.168306 0.954512i
\(767\) 17222.2 + 29829.8i 0.810768 + 1.40429i
\(768\) −30.0848 + 52.1084i −0.00141353 + 0.00244831i
\(769\) −9587.85 3489.69i −0.449605 0.163643i 0.107286