Properties

Label 43.4.g.a.9.1
Level 43
Weight 4
Character 43.9
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.1
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.45964 - 4.33825i) q^{2} +(-3.12542 - 0.471081i) q^{3} +(-5.07115 + 22.2182i) q^{4} +(-0.150276 - 0.102456i) q^{5} +(8.76916 + 15.1886i) q^{6} +(-0.220734 + 0.382322i) q^{7} +(73.9379 - 35.6066i) q^{8} +(-16.2541 - 5.01374i) q^{9} +O(q^{10})\) \(q+(-3.45964 - 4.33825i) q^{2} +(-3.12542 - 0.471081i) q^{3} +(-5.07115 + 22.2182i) q^{4} +(-0.150276 - 0.102456i) q^{5} +(8.76916 + 15.1886i) q^{6} +(-0.220734 + 0.382322i) q^{7} +(73.9379 - 35.6066i) q^{8} +(-16.2541 - 5.01374i) q^{9} +(0.0754189 + 1.00640i) q^{10} +(8.75549 + 38.3603i) q^{11} +(26.3160 - 67.0522i) q^{12} +(-6.27927 + 83.7910i) q^{13} +(2.42227 - 0.365099i) q^{14} +(0.421409 + 0.391010i) q^{15} +(-246.007 - 118.471i) q^{16} +(14.0968 - 9.61106i) q^{17} +(34.4826 + 87.8604i) q^{18} +(-89.6188 + 27.6437i) q^{19} +(3.03846 - 2.81928i) q^{20} +(0.869990 - 1.09093i) q^{21} +(136.126 - 170.697i) q^{22} +(-42.4314 + 39.3706i) q^{23} +(-247.860 + 76.4548i) q^{24} +(-45.6555 - 116.328i) q^{25} +(385.231 - 262.646i) q^{26} +(125.327 + 60.3545i) q^{27} +(-7.37513 - 6.84312i) q^{28} +(-96.9630 + 14.6148i) q^{29} +(0.238378 - 3.18093i) q^{30} +(-55.0505 + 140.266i) q^{31} +(191.052 + 837.051i) q^{32} +(-9.29376 - 124.017i) q^{33} +(-90.4652 - 27.9048i) q^{34} +(0.0723422 - 0.0348382i) q^{35} +(193.823 - 335.712i) q^{36} +(-67.2487 - 116.478i) q^{37} +(429.974 + 293.152i) q^{38} +(59.0977 - 258.924i) q^{39} +(-14.7592 - 2.22459i) q^{40} +(-242.997 - 304.709i) q^{41} -7.74260 q^{42} +(218.346 + 178.415i) q^{43} -896.697 q^{44} +(1.92891 + 2.41878i) q^{45} +(317.597 + 47.8701i) q^{46} +(3.25626 - 14.2666i) q^{47} +(713.067 + 486.161i) q^{48} +(171.403 + 296.878i) q^{49} +(-346.710 + 600.520i) q^{50} +(-48.5861 + 23.3978i) q^{51} +(-1829.84 - 564.431i) q^{52} +(-24.0859 - 321.404i) q^{53} +(-171.755 - 752.506i) q^{54} +(2.61451 - 6.66167i) q^{55} +(-2.70739 + 36.1277i) q^{56} +(293.118 - 44.1805i) q^{57} +(398.860 + 370.088i) q^{58} +(110.194 + 53.0669i) q^{59} +(-10.8246 + 7.38007i) q^{60} +(58.8083 + 149.841i) q^{61} +(798.967 - 246.449i) q^{62} +(5.50470 - 5.10762i) q^{63} +(1608.43 - 2016.91i) q^{64} +(9.52853 - 11.9484i) q^{65} +(-505.862 + 469.372i) q^{66} +(-337.722 + 104.174i) q^{67} +(142.053 + 361.945i) q^{68} +(151.163 - 103.061i) q^{69} +(-0.401415 - 0.193311i) q^{70} +(443.930 + 411.906i) q^{71} +(-1380.32 + 208.050i) q^{72} +(29.8344 - 398.112i) q^{73} +(-272.656 + 694.715i) q^{74} +(87.8925 + 385.082i) q^{75} +(-159.723 - 2131.35i) q^{76} +(-16.5986 - 5.12000i) q^{77} +(-1327.73 + 639.403i) q^{78} +(-506.326 + 876.983i) q^{79} +(24.8308 + 43.0083i) q^{80} +(16.1949 + 11.0415i) q^{81} +(-481.220 + 2108.36i) q^{82} +(382.610 + 57.6692i) q^{83} +(19.8267 + 24.8619i) q^{84} -3.10312 q^{85} +(18.6080 - 1564.49i) q^{86} +309.935 q^{87} +(2013.24 + 2524.53i) q^{88} +(-674.093 - 101.603i) q^{89} +(3.81993 - 16.7362i) q^{90} +(-30.6491 - 20.8962i) q^{91} +(-659.567 - 1142.40i) q^{92} +(238.133 - 412.458i) q^{93} +(-73.1577 + 35.2309i) q^{94} +(16.2998 + 5.02782i) q^{95} +(-202.797 - 2706.14i) q^{96} +(230.760 + 1011.02i) q^{97} +(694.940 - 1770.68i) q^{98} +(50.0156 - 667.412i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.45964 4.33825i −1.22317 1.53380i −0.763642 0.645640i \(-0.776591\pi\)
−0.459526 0.888164i \(-0.651981\pi\)
\(3\) −3.12542 0.471081i −0.601487 0.0906596i −0.158762 0.987317i \(-0.550750\pi\)
−0.442725 + 0.896657i \(0.645988\pi\)
\(4\) −5.07115 + 22.2182i −0.633894 + 2.77727i
\(5\) −0.150276 0.102456i −0.0134411 0.00916396i 0.556581 0.830793i \(-0.312113\pi\)
−0.570022 + 0.821629i \(0.693065\pi\)
\(6\) 8.76916 + 15.1886i 0.596666 + 1.03346i
\(7\) −0.220734 + 0.382322i −0.0119185 + 0.0206435i −0.871923 0.489643i \(-0.837127\pi\)
0.860005 + 0.510286i \(0.170461\pi\)
\(8\) 73.9379 35.6066i 3.26762 1.57360i
\(9\) −16.2541 5.01374i −0.602005 0.185694i
\(10\) 0.0754189 + 1.00640i 0.00238496 + 0.0318250i
\(11\) 8.75549 + 38.3603i 0.239989 + 1.05146i 0.941026 + 0.338336i \(0.109864\pi\)
−0.701036 + 0.713126i \(0.747279\pi\)
\(12\) 26.3160 67.0522i 0.633066 1.61302i
\(13\) −6.27927 + 83.7910i −0.133966 + 1.78765i 0.375162 + 0.926959i \(0.377587\pi\)
−0.509128 + 0.860691i \(0.670032\pi\)
\(14\) 2.42227 0.365099i 0.0462414 0.00696976i
\(15\) 0.421409 + 0.391010i 0.00725382 + 0.00673056i
\(16\) −246.007 118.471i −3.84387 1.85111i
\(17\) 14.0968 9.61106i 0.201117 0.137119i −0.458574 0.888656i \(-0.651640\pi\)
0.659691 + 0.751537i \(0.270687\pi\)
\(18\) 34.4826 + 87.8604i 0.451535 + 1.15049i
\(19\) −89.6188 + 27.6437i −1.08210 + 0.333785i −0.784007 0.620752i \(-0.786828\pi\)
−0.298095 + 0.954536i \(0.596351\pi\)
\(20\) 3.03846 2.81928i 0.0339710 0.0315205i
\(21\) 0.869990 1.09093i 0.00904035 0.0113362i
\(22\) 136.126 170.697i 1.31919 1.65421i
\(23\) −42.4314 + 39.3706i −0.384677 + 0.356928i −0.848681 0.528905i \(-0.822603\pi\)
0.464004 + 0.885833i \(0.346412\pi\)
\(24\) −247.860 + 76.4548i −2.10809 + 0.650261i
\(25\) −45.6555 116.328i −0.365244 0.930627i
\(26\) 385.231 262.646i 2.90577 1.98112i
\(27\) 125.327 + 60.3545i 0.893306 + 0.430193i
\(28\) −7.37513 6.84312i −0.0497774 0.0461867i
\(29\) −96.9630 + 14.6148i −0.620882 + 0.0935829i −0.451948 0.892044i \(-0.649271\pi\)
−0.168934 + 0.985627i \(0.554033\pi\)
\(30\) 0.238378 3.18093i 0.00145072 0.0193585i
\(31\) −55.0505 + 140.266i −0.318947 + 0.812665i 0.678034 + 0.735030i \(0.262832\pi\)
−0.996982 + 0.0776346i \(0.975263\pi\)
\(32\) 191.052 + 837.051i 1.05542 + 4.62410i
\(33\) −9.29376 124.017i −0.0490253 0.654197i
\(34\) −90.4652 27.9048i −0.456313 0.140754i
\(35\) 0.0723422 0.0348382i 0.000349373 0.000168249i
\(36\) 193.823 335.712i 0.897331 1.55422i
\(37\) −67.2487 116.478i −0.298801 0.517538i 0.677061 0.735927i \(-0.263253\pi\)
−0.975862 + 0.218389i \(0.929920\pi\)
\(38\) 429.974 + 293.152i 1.83555 + 1.25146i
\(39\) 59.0977 258.924i 0.242646 1.06310i
\(40\) −14.7592 2.22459i −0.0583408 0.00879345i
\(41\) −242.997 304.709i −0.925604 1.16067i −0.986702 0.162538i \(-0.948032\pi\)
0.0610986 0.998132i \(-0.480540\pi\)
\(42\) −7.74260 −0.0284454
\(43\) 218.346 + 178.415i 0.774361 + 0.632744i
\(44\) −896.697 −3.07232
\(45\) 1.92891 + 2.41878i 0.00638990 + 0.00801268i
\(46\) 317.597 + 47.8701i 1.01798 + 0.153436i
\(47\) 3.25626 14.2666i 0.0101058 0.0442766i −0.969624 0.244602i \(-0.921343\pi\)
0.979729 + 0.200325i \(0.0641999\pi\)
\(48\) 713.067 + 486.161i 2.14421 + 1.46190i
\(49\) 171.403 + 296.878i 0.499716 + 0.865533i
\(50\) −346.710 + 600.520i −0.980645 + 1.69853i
\(51\) −48.5861 + 23.3978i −0.133400 + 0.0642422i
\(52\) −1829.84 564.431i −4.87987 1.50524i
\(53\) −24.0859 321.404i −0.0624235 0.832984i −0.937275 0.348592i \(-0.886660\pi\)
0.874851 0.484392i \(-0.160959\pi\)
\(54\) −171.755 752.506i −0.432831 1.89635i
\(55\) 2.61451 6.66167i 0.00640984 0.0163320i
\(56\) −2.70739 + 36.1277i −0.00646055 + 0.0862100i
\(57\) 293.118 44.1805i 0.681131 0.102664i
\(58\) 398.860 + 370.088i 0.902981 + 0.837844i
\(59\) 110.194 + 53.0669i 0.243154 + 0.117097i 0.551492 0.834180i \(-0.314059\pi\)
−0.308338 + 0.951277i \(0.599773\pi\)
\(60\) −10.8246 + 7.38007i −0.0232908 + 0.0158794i
\(61\) 58.8083 + 149.841i 0.123437 + 0.314512i 0.979213 0.202834i \(-0.0650153\pi\)
−0.855776 + 0.517346i \(0.826920\pi\)
\(62\) 798.967 246.449i 1.63659 0.504823i
\(63\) 5.50470 5.10762i 0.0110084 0.0102143i
\(64\) 1608.43 2016.91i 3.14147 3.93928i
\(65\) 9.52853 11.9484i 0.0181826 0.0228003i
\(66\) −505.862 + 469.372i −0.943445 + 0.875389i
\(67\) −337.722 + 104.174i −0.615811 + 0.189953i −0.586940 0.809630i \(-0.699668\pi\)
−0.0288714 + 0.999583i \(0.509191\pi\)
\(68\) 142.053 + 361.945i 0.253330 + 0.645475i
\(69\) 151.163 103.061i 0.263737 0.179813i
\(70\) −0.401415 0.193311i −0.000685403 0.000330073i
\(71\) 443.930 + 411.906i 0.742039 + 0.688511i 0.957639 0.287970i \(-0.0929805\pi\)
−0.215601 + 0.976482i \(0.569171\pi\)
\(72\) −1380.32 + 208.050i −2.25934 + 0.340540i
\(73\) 29.8344 398.112i 0.0478336 0.638295i −0.920837 0.389947i \(-0.872493\pi\)
0.968671 0.248348i \(-0.0798876\pi\)
\(74\) −272.656 + 694.715i −0.428318 + 1.09134i
\(75\) 87.8925 + 385.082i 0.135319 + 0.592873i
\(76\) −159.723 2131.35i −0.241072 3.21688i
\(77\) −16.5986 5.12000i −0.0245661 0.00757764i
\(78\) −1327.73 + 639.403i −1.92739 + 0.928182i
\(79\) −506.326 + 876.983i −0.721091 + 1.24897i 0.239472 + 0.970903i \(0.423026\pi\)
−0.960563 + 0.278063i \(0.910308\pi\)
\(80\) 24.8308 + 43.0083i 0.0347022 + 0.0601059i
\(81\) 16.1949 + 11.0415i 0.0222152 + 0.0151461i
\(82\) −481.220 + 2108.36i −0.648072 + 2.83939i
\(83\) 382.610 + 57.6692i 0.505987 + 0.0762653i 0.397075 0.917786i \(-0.370025\pi\)
0.108912 + 0.994051i \(0.465263\pi\)
\(84\) 19.8267 + 24.8619i 0.0257532 + 0.0322935i
\(85\) −3.10312 −0.00395978
\(86\) 18.6080 1564.49i 0.0233320 1.96167i
\(87\) 309.935 0.381937
\(88\) 2013.24 + 2524.53i 2.43878 + 3.05813i
\(89\) −674.093 101.603i −0.802850 0.121010i −0.265217 0.964189i \(-0.585443\pi\)
−0.537634 + 0.843179i \(0.680682\pi\)
\(90\) 3.81993 16.7362i 0.00447396 0.0196017i
\(91\) −30.6491 20.8962i −0.0353066 0.0240716i
\(92\) −659.567 1142.40i −0.747442 1.29461i
\(93\) 238.133 412.458i 0.265519 0.459892i
\(94\) −73.1577 + 35.2309i −0.0802728 + 0.0386574i
\(95\) 16.2998 + 5.02782i 0.0176034 + 0.00542993i
\(96\) −202.797 2706.14i −0.215603 2.87702i
\(97\) 230.760 + 1011.02i 0.241547 + 1.05829i 0.939609 + 0.342250i \(0.111189\pi\)
−0.698062 + 0.716038i \(0.745954\pi\)
\(98\) 694.940 1770.68i 0.716322 1.82516i
\(99\) 50.0156 667.412i 0.0507753 0.677550i
\(100\) 2816.13 424.464i 2.81613 0.424464i
\(101\) −653.343 606.213i −0.643664 0.597233i 0.289285 0.957243i \(-0.406583\pi\)
−0.932948 + 0.360011i \(0.882773\pi\)
\(102\) 269.596 + 129.831i 0.261706 + 0.126031i
\(103\) −190.592 + 129.944i −0.182326 + 0.124308i −0.651044 0.759040i \(-0.725669\pi\)
0.468717 + 0.883348i \(0.344716\pi\)
\(104\) 2519.24 + 6418.91i 2.37530 + 6.05218i
\(105\) −0.242511 + 0.0748048i −0.000225397 + 6.95257e-5i
\(106\) −1311.00 + 1216.43i −1.20128 + 1.11463i
\(107\) 976.815 1224.89i 0.882544 1.10668i −0.111066 0.993813i \(-0.535427\pi\)
0.993611 0.112863i \(-0.0360020\pi\)
\(108\) −1976.52 + 2478.48i −1.76103 + 2.20826i
\(109\) 713.649 662.169i 0.627111 0.581874i −0.301254 0.953544i \(-0.597405\pi\)
0.928365 + 0.371670i \(0.121215\pi\)
\(110\) −37.9453 + 11.7046i −0.0328904 + 0.0101453i
\(111\) 155.310 + 395.723i 0.132805 + 0.338381i
\(112\) 99.5962 67.9036i 0.0840264 0.0572883i
\(113\) −1018.08 490.283i −0.847551 0.408159i −0.0408831 0.999164i \(-0.513017\pi\)
−0.806668 + 0.591005i \(0.798731\pi\)
\(114\) −1205.75 1118.77i −0.990605 0.919147i
\(115\) 10.4102 1.56908i 0.00844134 0.00127233i
\(116\) 167.000 2228.46i 0.133668 1.78368i
\(117\) 522.171 1330.47i 0.412604 1.05130i
\(118\) −151.016 661.644i −0.117815 0.516180i
\(119\) 0.562873 + 7.51102i 0.000433601 + 0.00578600i
\(120\) 45.0806 + 13.9055i 0.0342940 + 0.0105783i
\(121\) −195.666 + 94.2278i −0.147007 + 0.0707948i
\(122\) 446.593 773.522i 0.331415 0.574028i
\(123\) 615.925 + 1066.81i 0.451513 + 0.782043i
\(124\) −2837.30 1934.44i −2.05481 1.40095i
\(125\) −10.1166 + 44.3239i −0.00723888 + 0.0317156i
\(126\) −41.2025 6.21027i −0.0291318 0.00439091i
\(127\) −264.398 331.545i −0.184737 0.231652i 0.680836 0.732436i \(-0.261617\pi\)
−0.865572 + 0.500784i \(0.833045\pi\)
\(128\) −7445.84 −5.14161
\(129\) −598.376 660.480i −0.408404 0.450791i
\(130\) −84.8005 −0.0572115
\(131\) 414.436 + 519.687i 0.276408 + 0.346605i 0.900586 0.434677i \(-0.143138\pi\)
−0.624178 + 0.781282i \(0.714566\pi\)
\(132\) 2802.55 + 422.417i 1.84796 + 0.278535i
\(133\) 9.21308 40.3651i 0.00600658 0.0263166i
\(134\) 1620.33 + 1104.72i 1.04459 + 0.712190i
\(135\) −12.6500 21.9104i −0.00806470 0.0139685i
\(136\) 700.073 1212.56i 0.441403 0.764532i
\(137\) 948.170 456.615i 0.591297 0.284753i −0.114210 0.993457i \(-0.536434\pi\)
0.705507 + 0.708703i \(0.250719\pi\)
\(138\) −970.074 299.228i −0.598392 0.184580i
\(139\) 81.3917 + 1086.10i 0.0496659 + 0.662745i 0.965369 + 0.260889i \(0.0840157\pi\)
−0.915703 + 0.401856i \(0.868365\pi\)
\(140\) 0.407182 + 1.78398i 0.000245808 + 0.00107696i
\(141\) −16.8979 + 43.0552i −0.0100926 + 0.0257156i
\(142\) 251.117 3350.93i 0.148403 1.98031i
\(143\) −3269.23 + 492.757i −1.91179 + 0.288157i
\(144\) 3404.66 + 3159.06i 1.97029 + 1.82816i
\(145\) 16.0686 + 7.73821i 0.00920290 + 0.00443188i
\(146\) −1830.33 + 1247.90i −1.03753 + 0.707375i
\(147\) −395.851 1008.61i −0.222104 0.565911i
\(148\) 2928.96 903.465i 1.62675 0.501786i
\(149\) −511.719 + 474.805i −0.281353 + 0.261058i −0.808207 0.588898i \(-0.799562\pi\)
0.526854 + 0.849956i \(0.323371\pi\)
\(150\) 1366.51 1713.55i 0.743833 0.932737i
\(151\) −608.554 + 763.102i −0.327970 + 0.411261i −0.918290 0.395908i \(-0.870430\pi\)
0.590321 + 0.807169i \(0.299001\pi\)
\(152\) −5641.92 + 5234.94i −3.01066 + 2.79348i
\(153\) −277.319 + 85.5417i −0.146536 + 0.0452003i
\(154\) 35.2135 + 89.7225i 0.0184259 + 0.0469483i
\(155\) 22.6439 15.4384i 0.0117342 0.00800025i
\(156\) 5453.13 + 2626.09i 2.79871 + 1.34779i
\(157\) 1572.96 + 1459.50i 0.799593 + 0.741913i 0.969907 0.243476i \(-0.0782878\pi\)
−0.170314 + 0.985390i \(0.554478\pi\)
\(158\) 5556.28 837.475i 2.79768 0.421683i
\(159\) −76.1287 + 1015.87i −0.0379711 + 0.506688i
\(160\) 57.0507 145.363i 0.0281891 0.0718246i
\(161\) −5.68621 24.9129i −0.00278345 0.0121951i
\(162\) −8.12775 108.457i −0.00394183 0.0526000i
\(163\) −120.171 37.0678i −0.0577455 0.0178121i 0.265748 0.964043i \(-0.414381\pi\)
−0.323493 + 0.946230i \(0.604857\pi\)
\(164\) 8002.34 3853.73i 3.81023 1.83491i
\(165\) −11.3096 + 19.5889i −0.00533609 + 0.00924237i
\(166\) −1073.51 1859.37i −0.501931 0.869370i
\(167\) 52.5985 + 35.8610i 0.0243724 + 0.0166168i 0.575445 0.817840i \(-0.304829\pi\)
−0.551073 + 0.834457i \(0.685781\pi\)
\(168\) 25.4808 111.639i 0.0117017 0.0512685i
\(169\) −4809.05 724.847i −2.18892 0.329926i
\(170\) 10.7357 + 13.4621i 0.00484347 + 0.00607352i
\(171\) 1595.28 0.713414
\(172\) −5071.32 + 3946.49i −2.24817 + 1.74952i
\(173\) 1744.49 0.766652 0.383326 0.923613i \(-0.374779\pi\)
0.383326 + 0.923613i \(0.374779\pi\)
\(174\) −1072.26 1344.58i −0.467173 0.585816i
\(175\) 54.5527 + 8.22249i 0.0235645 + 0.00355178i
\(176\) 2390.67 10474.2i 1.02388 4.48592i
\(177\) −319.405 217.767i −0.135638 0.0924765i
\(178\) 1891.34 + 3275.89i 0.796415 + 1.37943i
\(179\) −1432.22 + 2480.68i −0.598041 + 1.03584i 0.395069 + 0.918651i \(0.370721\pi\)
−0.993110 + 0.117186i \(0.962613\pi\)
\(180\) −63.5227 + 30.5909i −0.0263039 + 0.0126673i
\(181\) −1060.89 327.240i −0.435663 0.134384i 0.0691631 0.997605i \(-0.477967\pi\)
−0.504826 + 0.863221i \(0.668443\pi\)
\(182\) 15.3819 + 205.257i 0.00626474 + 0.0835971i
\(183\) −113.213 496.020i −0.0457321 0.200365i
\(184\) −1735.44 + 4421.82i −0.695315 + 1.77163i
\(185\) −1.82807 + 24.3939i −0.000726499 + 0.00969445i
\(186\) −2613.20 + 393.877i −1.03016 + 0.155271i
\(187\) 492.108 + 456.610i 0.192441 + 0.178559i
\(188\) 300.465 + 144.697i 0.116562 + 0.0561334i
\(189\) −50.7388 + 34.5931i −0.0195275 + 0.0133137i
\(190\) −34.5795 88.1070i −0.0132035 0.0336419i
\(191\) −549.736 + 169.571i −0.208259 + 0.0642395i −0.397129 0.917763i \(-0.629994\pi\)
0.188870 + 0.982002i \(0.439517\pi\)
\(192\) −5977.15 + 5545.98i −2.24668 + 2.08462i
\(193\) −1735.33 + 2176.04i −0.647213 + 0.811579i −0.991884 0.127144i \(-0.959419\pi\)
0.344671 + 0.938723i \(0.387990\pi\)
\(194\) 3587.73 4498.87i 1.32775 1.66495i
\(195\) −35.4093 + 32.8550i −0.0130037 + 0.0120656i
\(196\) −7465.30 + 2302.74i −2.72059 + 0.839191i
\(197\) 1277.80 + 3255.78i 0.462129 + 1.17749i 0.952111 + 0.305754i \(0.0989084\pi\)
−0.489981 + 0.871733i \(0.662996\pi\)
\(198\) −3068.44 + 2092.03i −1.10134 + 0.750878i
\(199\) 3955.03 + 1904.64i 1.40887 + 0.678475i 0.974939 0.222473i \(-0.0714128\pi\)
0.433928 + 0.900947i \(0.357127\pi\)
\(200\) −7517.73 6975.44i −2.65792 2.46619i
\(201\) 1104.60 166.491i 0.387624 0.0584248i
\(202\) −369.576 + 4931.65i −0.128729 + 1.71777i
\(203\) 15.8154 40.2971i 0.00546811 0.0139325i
\(204\) −273.470 1198.15i −0.0938564 0.411212i
\(205\) 5.29724 + 70.6868i 0.00180476 + 0.0240828i
\(206\) 1223.11 + 377.280i 0.413680 + 0.127603i
\(207\) 887.081 427.196i 0.297857 0.143440i
\(208\) 11471.6 19869.3i 3.82408 6.62350i
\(209\) −1845.08 3195.77i −0.610654 1.05768i
\(210\) 1.16352 + 0.793277i 0.000382337 + 0.000260673i
\(211\) 250.022 1095.42i 0.0815744 0.357401i −0.917623 0.397451i \(-0.869895\pi\)
0.999198 + 0.0400504i \(0.0127519\pi\)
\(212\) 7263.14 + 1094.74i 2.35299 + 0.354657i
\(213\) −1193.42 1496.51i −0.383906 0.481403i
\(214\) −8693.30 −2.77692
\(215\) −14.5324 49.1823i −0.00460979 0.0156010i
\(216\) 11415.5 3.59594
\(217\) −41.4755 52.0086i −0.0129748 0.0162699i
\(218\) −5341.63 805.120i −1.65954 0.250136i
\(219\) −280.788 + 1230.21i −0.0866388 + 0.379590i
\(220\) 134.752 + 91.8721i 0.0412953 + 0.0281546i
\(221\) 716.803 + 1241.54i 0.218178 + 0.377896i
\(222\) 1179.43 2042.83i 0.356568 0.617594i
\(223\) 4356.12 2097.80i 1.30811 0.629951i 0.355648 0.934620i \(-0.384260\pi\)
0.952458 + 0.304669i \(0.0985459\pi\)
\(224\) −362.195 111.722i −0.108036 0.0333248i
\(225\) 158.851 + 2119.72i 0.0470671 + 0.628066i
\(226\) 1395.23 + 6112.91i 0.410661 + 1.79922i
\(227\) 1008.01 2568.36i 0.294730 0.750961i −0.704421 0.709782i \(-0.748793\pi\)
0.999152 0.0411789i \(-0.0131114\pi\)
\(228\) −504.839 + 6736.61i −0.146639 + 1.95677i
\(229\) 4477.73 674.909i 1.29213 0.194757i 0.533231 0.845970i \(-0.320978\pi\)
0.758895 + 0.651213i \(0.225740\pi\)
\(230\) −42.8225 39.7335i −0.0122767 0.0113911i
\(231\) 49.4657 + 23.8214i 0.0140892 + 0.00678500i
\(232\) −6648.86 + 4533.11i −1.88155 + 1.28282i
\(233\) −894.795 2279.90i −0.251588 0.641035i 0.748159 0.663519i \(-0.230938\pi\)
−0.999747 + 0.0224837i \(0.992843\pi\)
\(234\) −7578.44 + 2337.64i −2.11717 + 0.653061i
\(235\) −1.95104 + 1.81030i −0.000541582 + 0.000502515i
\(236\) −1737.86 + 2179.21i −0.479344 + 0.601078i
\(237\) 1995.61 2502.42i 0.546957 0.685863i
\(238\) 30.6374 28.4273i 0.00834423 0.00774231i
\(239\) −2624.23 + 809.468i −0.710240 + 0.219080i −0.628765 0.777595i \(-0.716439\pi\)
−0.0814752 + 0.996675i \(0.525963\pi\)
\(240\) −57.3464 146.116i −0.0154237 0.0392990i
\(241\) 3849.36 2624.45i 1.02888 0.701476i 0.0736296 0.997286i \(-0.476542\pi\)
0.955247 + 0.295810i \(0.0955894\pi\)
\(242\) 1085.72 + 522.855i 0.288399 + 0.138886i
\(243\) −2798.59 2596.71i −0.738806 0.685512i
\(244\) −3627.43 + 546.746i −0.951730 + 0.143450i
\(245\) 4.65935 62.1748i 0.00121500 0.0162131i
\(246\) 2497.23 6362.83i 0.647225 1.64910i
\(247\) −1753.56 7682.83i −0.451725 1.97914i
\(248\) 924.093 + 12331.2i 0.236613 + 3.15738i
\(249\) −1168.65 360.481i −0.297430 0.0917451i
\(250\) 227.288 109.456i 0.0574999 0.0276905i
\(251\) −2469.11 + 4276.62i −0.620911 + 1.07545i 0.368405 + 0.929665i \(0.379904\pi\)
−0.989316 + 0.145785i \(0.953429\pi\)
\(252\) 85.5668 + 148.206i 0.0213897 + 0.0370480i
\(253\) −1881.78 1282.97i −0.467614 0.318814i
\(254\) −523.602 + 2294.05i −0.129345 + 0.566699i
\(255\) 9.69856 + 1.46182i 0.00238175 + 0.000358992i
\(256\) 12892.5 + 16166.7i 3.14758 + 3.94694i
\(257\) 5533.92 1.34318 0.671589 0.740924i \(-0.265612\pi\)
0.671589 + 0.740924i \(0.265612\pi\)
\(258\) −795.161 + 4880.93i −0.191878 + 1.17780i
\(259\) 59.3763 0.0142450
\(260\) 217.151 + 272.299i 0.0517967 + 0.0649510i
\(261\) 1649.33 + 248.596i 0.391152 + 0.0589567i
\(262\) 820.732 3595.86i 0.193530 0.847912i
\(263\) −4642.95 3165.51i −1.08858 0.742181i −0.120472 0.992717i \(-0.538441\pi\)
−0.968107 + 0.250536i \(0.919393\pi\)
\(264\) −5102.97 8838.60i −1.18964 2.06052i
\(265\) −29.3103 + 50.7669i −0.00679440 + 0.0117682i
\(266\) −206.988 + 99.6803i −0.0477115 + 0.0229767i
\(267\) 2058.96 + 635.104i 0.471933 + 0.145572i
\(268\) −601.905 8031.86i −0.137191 1.83069i
\(269\) 674.966 + 2957.22i 0.152987 + 0.670278i 0.992007 + 0.126179i \(0.0402714\pi\)
−0.839021 + 0.544099i \(0.816871\pi\)
\(270\) −51.2884 + 130.681i −0.0115604 + 0.0294555i
\(271\) 48.6533 649.234i 0.0109058 0.145528i −0.989093 0.147295i \(-0.952943\pi\)
0.999998 + 0.00176681i \(0.000562394\pi\)
\(272\) −4606.56 + 694.327i −1.02689 + 0.154779i
\(273\) 85.9475 + 79.7476i 0.0190541 + 0.0176797i
\(274\) −5261.24 2533.68i −1.16001 0.558632i
\(275\) 4062.66 2769.87i 0.890864 0.607381i
\(276\) 1523.26 + 3881.20i 0.332208 + 0.846452i
\(277\) 2622.49 808.930i 0.568844 0.175465i 0.00302638 0.999995i \(-0.499037\pi\)
0.565818 + 0.824530i \(0.308560\pi\)
\(278\) 4430.18 4110.60i 0.955771 0.886826i
\(279\) 1598.06 2003.90i 0.342915 0.430002i
\(280\) 4.10836 5.15172i 0.000876862 0.00109955i
\(281\) −3673.15 + 3408.19i −0.779794 + 0.723543i −0.965880 0.258991i \(-0.916610\pi\)
0.186086 + 0.982533i \(0.440420\pi\)
\(282\) 245.245 75.6481i 0.0517877 0.0159744i
\(283\) −919.820 2343.66i −0.193207 0.492284i 0.801138 0.598479i \(-0.204228\pi\)
−0.994345 + 0.106196i \(0.966133\pi\)
\(284\) −11403.0 + 7774.47i −2.38256 + 1.62440i
\(285\) −48.5751 23.3925i −0.0100959 0.00486195i
\(286\) 13448.1 + 12478.0i 2.78042 + 2.57985i
\(287\) 170.134 25.6436i 0.0349921 0.00527420i
\(288\) 1091.38 14563.4i 0.223299 2.97972i
\(289\) −1688.57 + 4302.41i −0.343695 + 0.875720i
\(290\) −22.0211 96.4809i −0.00445905 0.0195364i
\(291\) −244.946 3268.58i −0.0493436 0.658445i
\(292\) 8694.04 + 2681.76i 1.74240 + 0.537459i
\(293\) −4214.77 + 2029.72i −0.840373 + 0.404702i −0.803995 0.594636i \(-0.797296\pi\)
−0.0363778 + 0.999338i \(0.511582\pi\)
\(294\) −3006.11 + 5206.74i −0.596327 + 1.03287i
\(295\) −11.1225 19.2648i −0.00219518 0.00380216i
\(296\) −9119.62 6217.65i −1.79077 1.22092i
\(297\) −1217.91 + 5336.03i −0.237948 + 1.04252i
\(298\) 3830.19 + 577.308i 0.744553 + 0.112223i
\(299\) −3032.47 3802.59i −0.586529 0.735484i
\(300\) −9001.55 −1.73235
\(301\) −116.408 + 44.0965i −0.0222913 + 0.00844412i
\(302\) 5415.91 1.03196
\(303\) 1756.39 + 2202.45i 0.333010 + 0.417582i
\(304\) 25321.9 + 3816.66i 4.77733 + 0.720067i
\(305\) 6.51470 28.5428i 0.00122305 0.00535854i
\(306\) 1330.53 + 907.138i 0.248566 + 0.169469i
\(307\) 2610.57 + 4521.64i 0.485320 + 0.840599i 0.999858 0.0168691i \(-0.00536986\pi\)
−0.514538 + 0.857468i \(0.672037\pi\)
\(308\) 197.931 342.827i 0.0366175 0.0634234i
\(309\) 656.895 316.344i 0.120937 0.0582401i
\(310\) −145.315 44.8239i −0.0266237 0.00821234i
\(311\) 374.773 + 5001.00i 0.0683326 + 0.911835i 0.921045 + 0.389455i \(0.127337\pi\)
−0.852713 + 0.522380i \(0.825044\pi\)
\(312\) −4849.84 21248.6i −0.880027 3.85565i
\(313\) −3316.66 + 8450.72i −0.598942 + 1.52608i 0.233723 + 0.972303i \(0.424909\pi\)
−0.832665 + 0.553777i \(0.813186\pi\)
\(314\) 889.776 11873.2i 0.159914 2.13390i
\(315\) −1.35053 + 0.203560i −0.000241567 + 3.64104e-5i
\(316\) −16917.3 15697.0i −3.01162 2.79438i
\(317\) 6896.73 + 3321.29i 1.22195 + 0.588462i 0.929855 0.367927i \(-0.119932\pi\)
0.292098 + 0.956388i \(0.405647\pi\)
\(318\) 4670.46 3184.27i 0.823606 0.561525i
\(319\) −1409.59 3591.57i −0.247404 0.630375i
\(320\) −448.353 + 138.299i −0.0783240 + 0.0241598i
\(321\) −3629.97 + 3368.12i −0.631170 + 0.585640i
\(322\) −88.4063 + 110.858i −0.0153003 + 0.0191859i
\(323\) −997.656 + 1251.02i −0.171861 + 0.215507i
\(324\) −327.449 + 303.828i −0.0561469 + 0.0520967i
\(325\) 10034.0 3095.07i 1.71257 0.528257i
\(326\) 254.939 + 649.574i 0.0433121 + 0.110358i
\(327\) −2542.38 + 1733.37i −0.429952 + 0.293136i
\(328\) −28816.3 13877.2i −4.85096 2.33610i
\(329\) 4.73568 + 4.39407i 0.000793576 + 0.000736331i
\(330\) 124.109 18.7064i 0.0207029 0.00312046i
\(331\) 756.996 10101.4i 0.125705 1.67741i −0.476579 0.879132i \(-0.658123\pi\)
0.602284 0.798282i \(-0.294258\pi\)
\(332\) −3221.58 + 8208.45i −0.532552 + 1.35692i
\(333\) 509.079 + 2230.42i 0.0837759 + 0.367046i
\(334\) −26.3976 352.252i −0.00432459 0.0577077i
\(335\) 61.4247 + 18.9470i 0.0100179 + 0.00309011i
\(336\) −343.268 + 165.309i −0.0557345 + 0.0268403i
\(337\) −3557.27 + 6161.38i −0.575006 + 0.995940i 0.421035 + 0.907044i \(0.361667\pi\)
−0.996041 + 0.0888953i \(0.971666\pi\)
\(338\) 13493.0 + 23370.6i 2.17137 + 3.76092i
\(339\) 2950.97 + 2011.94i 0.472787 + 0.322341i
\(340\) 15.7364 68.9458i 0.00251008 0.0109974i
\(341\) −5862.66 883.654i −0.931029 0.140330i
\(342\) −5519.08 6920.71i −0.872625 1.09424i
\(343\) −302.761 −0.0476605
\(344\) 22496.8 + 5417.03i 3.52601 + 0.849031i
\(345\) −33.2753 −0.00519270
\(346\) −6035.30 7568.02i −0.937744 1.17589i
\(347\) −5875.58 885.601i −0.908984 0.137007i −0.322126 0.946697i \(-0.604397\pi\)
−0.586859 + 0.809690i \(0.699636\pi\)
\(348\) −1571.73 + 6886.19i −0.242108 + 1.06074i
\(349\) −748.838 510.549i −0.114855 0.0783068i 0.504530 0.863394i \(-0.331666\pi\)
−0.619385 + 0.785087i \(0.712618\pi\)
\(350\) −153.061 265.110i −0.0233756 0.0404878i
\(351\) −5844.13 + 10122.3i −0.888708 + 1.53929i
\(352\) −30436.8 + 14657.6i −4.60877 + 2.21947i
\(353\) −7715.48 2379.91i −1.16332 0.358838i −0.347805 0.937567i \(-0.613073\pi\)
−0.815520 + 0.578729i \(0.803549\pi\)
\(354\) 160.300 + 2139.05i 0.0240674 + 0.321157i
\(355\) −24.5094 107.383i −0.00366430 0.0160543i
\(356\) 5675.86 14461.9i 0.845001 2.15303i
\(357\) 1.77908 23.7402i 0.000263751 0.00351951i
\(358\) 15716.8 2368.93i 2.32028 0.349725i
\(359\) −3499.13 3246.72i −0.514421 0.477313i 0.379718 0.925102i \(-0.376021\pi\)
−0.894139 + 0.447789i \(0.852211\pi\)
\(360\) 228.744 + 110.157i 0.0334886 + 0.0161272i
\(361\) 1600.18 1090.98i 0.233296 0.159058i
\(362\) 2250.63 + 5734.52i 0.326770 + 0.832596i
\(363\) 655.927 202.327i 0.0948409 0.0292545i
\(364\) 619.702 575.000i 0.0892342 0.0827972i
\(365\) −45.2725 + 56.7699i −0.00649224 + 0.00814101i
\(366\) −1760.18 + 2207.20i −0.251383 + 0.315224i
\(367\) 9198.21 8534.69i 1.30829 1.21392i 0.347165 0.937804i \(-0.387144\pi\)
0.961126 0.276112i \(-0.0890460\pi\)
\(368\) 15102.7 4658.57i 2.13936 0.659905i
\(369\) 2421.98 + 6171.10i 0.341689 + 0.870609i
\(370\) 112.151 76.4635i 0.0157580 0.0107436i
\(371\) 128.196 + 61.7361i 0.0179397 + 0.00863929i
\(372\) 7956.46 + 7382.52i 1.10893 + 1.02894i
\(373\) 7932.06 1195.57i 1.10109 0.165963i 0.426740 0.904374i \(-0.359662\pi\)
0.674350 + 0.738412i \(0.264424\pi\)
\(374\) 278.370 3714.60i 0.0384872 0.513575i
\(375\) 52.4989 133.765i 0.00722941 0.0184202i
\(376\) −267.225 1170.79i −0.0366518 0.160582i
\(377\) −615.734 8216.40i −0.0841165 1.12246i
\(378\) 325.612 + 100.438i 0.0443060 + 0.0136666i
\(379\) −10050.2 + 4839.91i −1.36212 + 0.655961i −0.965108 0.261853i \(-0.915667\pi\)
−0.397010 + 0.917814i \(0.629952\pi\)
\(380\) −194.368 + 336.655i −0.0262391 + 0.0454474i
\(381\) 670.170 + 1160.77i 0.0901151 + 0.156084i
\(382\) 2637.53 + 1798.24i 0.353267 + 0.240853i
\(383\) 100.495 440.295i 0.0134074 0.0587416i −0.967782 0.251791i \(-0.918981\pi\)
0.981189 + 0.193049i \(0.0618377\pi\)
\(384\) 23271.4 + 3507.59i 3.09261 + 0.466136i
\(385\) 1.96979 + 2.47004i 0.000260753 + 0.000326974i
\(386\) 15443.8 2.03645
\(387\) −2654.51 3994.71i −0.348673 0.524710i
\(388\) −23633.3 −3.09227
\(389\) 7103.88 + 8907.98i 0.925915 + 1.16106i 0.986642 + 0.162906i \(0.0520868\pi\)
−0.0607266 + 0.998154i \(0.519342\pi\)
\(390\) 265.037 + 39.9479i 0.0344120 + 0.00518677i
\(391\) −219.756 + 962.812i −0.0284233 + 0.124531i
\(392\) 23244.0 + 15847.5i 2.99489 + 2.04188i
\(393\) −1050.47 1819.47i −0.134833 0.233537i
\(394\) 9703.68 16807.3i 1.24077 2.14908i
\(395\) 165.941 79.9129i 0.0211377 0.0101794i
\(396\) 14575.0 + 4495.81i 1.84955 + 0.570512i
\(397\) 409.315 + 5461.93i 0.0517454 + 0.690495i 0.961404 + 0.275139i \(0.0887239\pi\)
−0.909659 + 0.415356i \(0.863657\pi\)
\(398\) −5420.17 23747.3i −0.682634 2.99081i
\(399\) −47.8100 + 121.818i −0.00599873 + 0.0152845i
\(400\) −2549.93 + 34026.5i −0.318742 + 4.25331i
\(401\) −9729.68 + 1466.51i −1.21166 + 0.182629i −0.723625 0.690193i \(-0.757526\pi\)
−0.488038 + 0.872822i \(0.662287\pi\)
\(402\) −4543.79 4216.03i −0.563741 0.523075i
\(403\) −11407.4 5493.51i −1.41003 0.679036i
\(404\) 16782.2 11441.9i 2.06669 1.40905i
\(405\) −1.30243 3.31854i −0.000159798 0.000407159i
\(406\) −229.535 + 70.8021i −0.0280582 + 0.00865480i
\(407\) 3879.35 3599.51i 0.472462 0.438381i
\(408\) −2759.23 + 3459.97i −0.334810 + 0.419838i
\(409\) 8167.07 10241.2i 0.987374 1.23813i 0.0161717 0.999869i \(-0.494852\pi\)
0.971202 0.238258i \(-0.0765764\pi\)
\(410\) 288.331 267.532i 0.0347308 0.0322255i
\(411\) −3178.53 + 980.447i −0.381473 + 0.117669i
\(412\) −1920.59 4893.58i −0.229662 0.585169i
\(413\) −44.6123 + 30.4161i −0.00531532 + 0.00362392i
\(414\) −4922.27 2370.44i −0.584339 0.281403i
\(415\) −51.5884 47.8670i −0.00610211 0.00566193i
\(416\) −71337.1 + 10752.3i −8.40766 + 1.26725i
\(417\) 257.256 3432.85i 0.0302108 0.403135i
\(418\) −7480.75 + 19060.6i −0.875348 + 2.23035i
\(419\) 1315.75 + 5764.66i 0.153409 + 0.672129i 0.991879 + 0.127182i \(0.0405932\pi\)
−0.838470 + 0.544947i \(0.816550\pi\)
\(420\) −0.432215 5.76750i −5.02141e−5 0.000670060i
\(421\) −3821.41 1178.75i −0.442385 0.136458i 0.0655575 0.997849i \(-0.479117\pi\)
−0.507942 + 0.861391i \(0.669594\pi\)
\(422\) −5617.18 + 2705.09i −0.647962 + 0.312042i
\(423\) −124.457 + 215.566i −0.0143057 + 0.0247782i
\(424\) −13224.9 22906.3i −1.51476 2.62365i
\(425\) −1761.64 1201.06i −0.201064 0.137083i
\(426\) −2363.40 + 10354.8i −0.268797 + 1.17767i
\(427\) −70.2686 10.5913i −0.00796379 0.00120035i
\(428\) 22261.2 + 27914.6i 2.51410 + 3.15258i
\(429\) 10449.8 1.17604
\(430\) −163.088 + 233.199i −0.0182903 + 0.0261531i
\(431\) 13844.0 1.54720 0.773601 0.633673i \(-0.218453\pi\)
0.773601 + 0.633673i \(0.218453\pi\)
\(432\) −23681.2 29695.3i −2.63741 3.30721i
\(433\) −12662.4 1908.54i −1.40534 0.211822i −0.597808 0.801639i \(-0.703962\pi\)
−0.807537 + 0.589818i \(0.799200\pi\)
\(434\) −82.1362 + 359.862i −0.00908448 + 0.0398017i
\(435\) −46.5756 31.7547i −0.00513363 0.00350005i
\(436\) 11093.2 + 19213.9i 1.21850 + 2.11051i
\(437\) 2714.30 4701.31i 0.297123 0.514632i
\(438\) 6308.40 3037.97i 0.688190 0.331415i
\(439\) −1137.50 350.871i −0.123667 0.0381462i 0.232304 0.972643i \(-0.425374\pi\)
−0.355971 + 0.934497i \(0.615850\pi\)
\(440\) −43.8879 585.644i −0.00475517 0.0634534i
\(441\) −1297.53 5684.87i −0.140107 0.613850i
\(442\) 2906.23 7404.95i 0.312749 0.796873i
\(443\) −404.799 + 5401.66i −0.0434144 + 0.579324i 0.932500 + 0.361170i \(0.117623\pi\)
−0.975914 + 0.218154i \(0.929996\pi\)
\(444\) −9579.84 + 1443.93i −1.02396 + 0.154337i
\(445\) 90.8898 + 84.3334i 0.00968222 + 0.00898379i
\(446\) −24171.4 11640.3i −2.56625 1.23584i
\(447\) 1823.01 1242.90i 0.192898 0.131515i
\(448\) 416.074 + 1060.14i 0.0438787 + 0.111801i
\(449\) −8430.44 + 2600.45i −0.886096 + 0.273325i −0.704207 0.709995i \(-0.748697\pi\)
−0.181889 + 0.983319i \(0.558221\pi\)
\(450\) 8646.33 8022.62i 0.905760 0.840423i
\(451\) 9561.16 11989.3i 0.998265 1.25178i
\(452\) 16056.1 20133.7i 1.67083 2.09515i
\(453\) 2261.47 2098.34i 0.234554 0.217634i
\(454\) −14629.5 + 4512.62i −1.51233 + 0.466493i
\(455\) 2.46487 + 6.28038i 0.000253967 + 0.000647097i
\(456\) 20099.4 13703.6i 2.06413 1.40730i
\(457\) −2194.44 1056.78i −0.224620 0.108171i 0.318189 0.948027i \(-0.396925\pi\)
−0.542810 + 0.839856i \(0.682639\pi\)
\(458\) −18419.3 17090.6i −1.87921 1.74365i
\(459\) 2346.79 353.722i 0.238646 0.0359702i
\(460\) −17.9295 + 239.252i −0.00181732 + 0.0242504i
\(461\) 3194.86 8140.38i 0.322776 0.822420i −0.673736 0.738972i \(-0.735312\pi\)
0.996512 0.0834477i \(-0.0265931\pi\)
\(462\) −67.7903 297.009i −0.00682660 0.0299093i
\(463\) −556.003 7419.35i −0.0558092 0.744722i −0.952979 0.303036i \(-0.902000\pi\)
0.897170 0.441686i \(-0.145619\pi\)
\(464\) 25585.1 + 7891.95i 2.55982 + 0.789600i
\(465\) −78.0444 + 37.5842i −0.00778328 + 0.00374823i
\(466\) −6795.12 + 11769.5i −0.675489 + 1.16998i
\(467\) 6246.51 + 10819.3i 0.618959 + 1.07207i 0.989676 + 0.143323i \(0.0457787\pi\)
−0.370717 + 0.928746i \(0.620888\pi\)
\(468\) 26912.6 + 18348.7i 2.65819 + 1.81233i
\(469\) 34.7189 152.113i 0.00341827 0.0149764i
\(470\) 14.6034 + 2.20112i 0.00143321 + 0.000216021i
\(471\) −4228.62 5302.53i −0.413683 0.518742i
\(472\) 10037.1 0.978800
\(473\) −4932.32 + 9937.95i −0.479468 + 0.966062i
\(474\) −17760.2 −1.72100
\(475\) 7307.34 + 9163.12i 0.705861 + 0.885122i
\(476\) −169.736 25.5835i −0.0163442 0.00246349i
\(477\) −1219.94 + 5344.90i −0.117101 + 0.513053i
\(478\) 12590.6 + 8584.11i 1.20477 + 0.821398i
\(479\) 8569.67 + 14843.1i 0.817449 + 1.41586i 0.907556 + 0.419932i \(0.137946\pi\)
−0.0901062 + 0.995932i \(0.528721\pi\)
\(480\) −246.785 + 427.444i −0.0234670 + 0.0406460i
\(481\) 10182.1 4903.44i 0.965206 0.464819i
\(482\) −24702.9 7619.85i −2.33442 0.720072i
\(483\) 6.03578 + 80.5419i 0.000568608 + 0.00758754i
\(484\) −1101.32 4825.19i −0.103430 0.453155i
\(485\) 68.9081 175.575i 0.00645145 0.0164380i
\(486\) −1583.08 + 21124.7i −0.147757 + 1.97168i
\(487\) 2097.94 316.213i 0.195209 0.0294230i −0.0507101 0.998713i \(-0.516148\pi\)
0.245919 + 0.969290i \(0.420910\pi\)
\(488\) 9683.50 + 8984.97i 0.898261 + 0.833465i
\(489\) 358.123 + 172.463i 0.0331183 + 0.0159489i
\(490\) −285.850 + 194.889i −0.0263538 + 0.0179677i
\(491\) −6463.98 16469.9i −0.594124 1.51380i −0.838934 0.544233i \(-0.816821\pi\)
0.244809 0.969571i \(-0.421275\pi\)
\(492\) −26826.1 + 8274.75i −2.45816 + 0.758241i
\(493\) −1226.41 + 1137.94i −0.112038 + 0.103956i
\(494\) −27263.4 + 34187.2i −2.48307 + 3.11367i
\(495\) −75.8966 + 95.1713i −0.00689151 + 0.00864168i
\(496\) 30160.3 27984.7i 2.73032 2.53337i
\(497\) −255.471 + 78.8024i −0.0230572 + 0.00711222i
\(498\) 2479.25 + 6317.03i 0.223088 + 0.568420i
\(499\) −2093.18 + 1427.10i −0.187783 + 0.128028i −0.653562 0.756873i \(-0.726726\pi\)
0.465780 + 0.884901i \(0.345774\pi\)
\(500\) −933.493 449.547i −0.0834942 0.0402087i
\(501\) −147.499 136.859i −0.0131532 0.0122044i
\(502\) 27095.3 4083.96i 2.40901 0.363100i
\(503\) −574.117 + 7661.06i −0.0508919 + 0.679105i 0.912168 + 0.409817i \(0.134407\pi\)
−0.963060 + 0.269288i \(0.913212\pi\)
\(504\) 225.141 573.650i 0.0198980 0.0506992i
\(505\) 36.0712 + 158.038i 0.00317851 + 0.0139259i
\(506\) 944.409 + 12602.3i 0.0829725 + 1.10719i
\(507\) 14688.8 + 4530.90i 1.28669 + 0.396892i
\(508\) 8707.12 4193.13i 0.760465 0.366221i
\(509\) 1217.03 2107.96i 0.105980 0.183563i −0.808158 0.588966i \(-0.799535\pi\)
0.914138 + 0.405403i \(0.132869\pi\)
\(510\) −27.2118 47.1322i −0.00236266 0.00409225i
\(511\) 145.622 + 99.2832i 0.0126065 + 0.00859497i
\(512\) 12276.9 53788.5i 1.05970 4.64285i
\(513\) −12900.1 1944.38i −1.11024 0.167342i
\(514\) −19145.4 24007.6i −1.64293 2.06017i
\(515\) 41.9549 0.00358982
\(516\) 17709.1 9945.43i 1.51085 0.848495i
\(517\) 575.783 0.0489804
\(518\) −205.421 257.589i −0.0174241 0.0218491i
\(519\) −5452.25 821.794i −0.461131 0.0695043i
\(520\) 279.077 1222.72i 0.0235353 0.103115i
\(521\) −6706.22 4572.22i −0.563925 0.384478i 0.247541 0.968877i \(-0.420378\pi\)
−0.811466 + 0.584400i \(0.801330\pi\)
\(522\) −4627.61 8015.25i −0.388017 0.672065i
\(523\) −6077.90 + 10527.2i −0.508160 + 0.880159i 0.491795 + 0.870711i \(0.336341\pi\)
−0.999955 + 0.00944845i \(0.996992\pi\)
\(524\) −13648.2 + 6572.61i −1.13783 + 0.547950i
\(525\) −166.626 51.3974i −0.0138518 0.00427270i
\(526\) 2330.16 + 31093.8i 0.193155 + 2.57748i
\(527\) 572.071 + 2506.41i 0.0472862 + 0.207174i
\(528\) −12406.0 + 31610.0i −1.02254 + 2.60540i
\(529\) −658.860 + 8791.87i −0.0541514 + 0.722600i
\(530\) 321.642 48.4798i 0.0263609 0.00397326i
\(531\) −1525.05 1415.04i −0.124636 0.115645i
\(532\) 850.119 + 409.396i 0.0692807 + 0.0333638i
\(533\) 27057.7 18447.6i 2.19887 1.49917i
\(534\) −4368.01 11129.5i −0.353974 0.901912i
\(535\) −272.289 + 83.9899i −0.0220039 + 0.00678729i
\(536\) −21261.2 + 19727.5i −1.71333 + 1.58974i
\(537\) 5644.90 7078.48i 0.453622 0.568825i
\(538\) 10494.0 13159.1i 0.840947 1.05451i
\(539\) −9887.62 + 9174.37i −0.790148 + 0.733150i
\(540\) 550.958 169.948i 0.0439064 0.0135433i
\(541\) 4539.94 + 11567.6i 0.360790 + 0.919278i 0.989875 + 0.141941i \(0.0453344\pi\)
−0.629085 + 0.777336i \(0.716570\pi\)
\(542\) −2984.86 + 2035.04i −0.236551 + 0.161278i
\(543\) 3161.55 + 1522.52i 0.249862 + 0.120327i
\(544\) 10738.2 + 9963.57i 0.846315 + 0.785266i
\(545\) −175.087 + 26.3902i −0.0137613 + 0.00207418i
\(546\) 48.6179 648.760i 0.00381072 0.0508505i
\(547\) −3897.73 + 9931.26i −0.304671 + 0.776289i 0.693755 + 0.720211i \(0.255955\pi\)
−0.998426 + 0.0560782i \(0.982140\pi\)
\(548\) 5336.83 + 23382.2i 0.416018 + 1.82270i
\(549\) −204.615 2730.39i −0.0159066 0.212259i
\(550\) −26071.8 8042.07i −2.02128 0.623482i
\(551\) 8285.70 3990.18i 0.640622 0.308507i
\(552\) 7507.00 13002.5i 0.578839 1.00258i
\(553\) −223.527 387.160i −0.0171886 0.0297716i
\(554\) −12582.2 8578.40i −0.964922 0.657872i
\(555\) 17.2050 75.3799i 0.00131587 0.00576522i
\(556\) −24543.8 3699.39i −1.87211 0.282175i
\(557\) −6560.94 8227.16i −0.499095 0.625845i 0.466930 0.884294i \(-0.345360\pi\)
−0.966025 + 0.258449i \(0.916789\pi\)
\(558\) −14222.2 −1.07898
\(559\) −16320.6 + 17175.2i −1.23486 + 1.29952i
\(560\) −21.9240 −0.00165439
\(561\) −1322.94 1658.92i −0.0995628 0.124848i
\(562\) 27493.4 + 4143.96i 2.06359 + 0.311036i
\(563\) 300.088 1314.77i 0.0224639 0.0984209i −0.962453 0.271448i \(-0.912498\pi\)
0.984917 + 0.173027i \(0.0553547\pi\)
\(564\) −870.916 593.781i −0.0650216 0.0443310i
\(565\) 102.761 + 177.987i 0.00765163 + 0.0132530i
\(566\) −6985.16 + 12098.6i −0.518742 + 0.898488i
\(567\) −7.79618 + 3.75444i −0.000577440 + 0.000278081i
\(568\) 47489.8 + 14648.7i 3.50815 + 1.08212i
\(569\) −639.351 8531.54i −0.0471054 0.628578i −0.969934 0.243367i \(-0.921748\pi\)
0.922829 0.385210i \(-0.125871\pi\)
\(570\) 66.5697 + 291.661i 0.00489175 + 0.0214322i
\(571\) −6699.77 + 17070.7i −0.491027 + 1.25112i 0.443835 + 0.896108i \(0.353617\pi\)
−0.934863 + 0.355009i \(0.884478\pi\)
\(572\) 5630.60 75135.2i 0.411586 5.49224i
\(573\) 1798.04 271.010i 0.131089 0.0197585i
\(574\) −699.853 649.369i −0.0508908 0.0472197i
\(575\) 6517.15 + 3138.50i 0.472668 + 0.227625i
\(576\) −36255.9 + 24718.9i −2.62268 + 1.78811i
\(577\) −442.169 1126.63i −0.0319025 0.0812861i 0.914035 0.405636i \(-0.132950\pi\)
−0.945937 + 0.324350i \(0.894855\pi\)
\(578\) 24506.8 7559.35i 1.76358 0.543992i
\(579\) 6448.73 5983.55i 0.462867 0.429478i
\(580\) −253.415 + 317.772i −0.0181422 + 0.0227496i
\(581\) −106.503 + 133.551i −0.00760499 + 0.00953635i
\(582\) −13332.5 + 12370.7i −0.949570 + 0.881072i
\(583\) 12118.3 3737.99i 0.860870 0.265543i
\(584\) −11969.5 30497.9i −0.848122 2.16098i
\(585\) −214.784 + 146.437i −0.0151799 + 0.0103495i
\(586\) 23387.0 + 11262.6i 1.64865 + 0.793949i
\(587\) 7028.00 + 6521.03i 0.494168 + 0.458521i 0.887455 0.460895i \(-0.152472\pi\)
−0.393287 + 0.919416i \(0.628662\pi\)
\(588\) 24416.9 3680.26i 1.71248 0.258115i
\(589\) 1056.07 14092.3i 0.0738790 0.985846i
\(590\) −45.0955 + 114.901i −0.00314670 + 0.00801766i
\(591\) −2459.92 10777.6i −0.171214 0.750139i
\(592\) 2744.40 + 36621.5i 0.190531 + 2.54246i
\(593\) 4143.76 + 1278.18i 0.286955 + 0.0885137i 0.434891 0.900483i \(-0.356787\pi\)
−0.147936 + 0.988997i \(0.547263\pi\)
\(594\) 27362.6 13177.1i 1.89007 0.910209i
\(595\) 0.684964 1.18639i 4.71946e−5 8.17435e-5i
\(596\) −7954.31 13777.3i −0.546680 0.946877i
\(597\) −11463.9 7815.94i −0.785905 0.535821i
\(598\) −6005.36 + 26311.2i −0.410665 + 1.79924i
\(599\) −5218.91 786.625i −0.355992 0.0536571i −0.0313881 0.999507i \(-0.509993\pi\)
−0.324604 + 0.945850i \(0.605231\pi\)
\(600\) 20210.1 + 25342.6i 1.37512 + 1.72435i
\(601\) −4719.19 −0.320299 −0.160150 0.987093i \(-0.551198\pi\)
−0.160150 + 0.987093i \(0.551198\pi\)
\(602\) 594.033 + 352.451i 0.0402176 + 0.0238618i
\(603\) 6011.69 0.405995
\(604\) −13868.7 17390.8i −0.934285 1.17156i
\(605\) 39.0581 + 5.88706i 0.00262469 + 0.000395608i
\(606\) 3478.28 15239.4i 0.233161 1.02155i
\(607\) −15306.3 10435.6i −1.02350 0.697807i −0.0694857 0.997583i \(-0.522136\pi\)
−0.954010 + 0.299776i \(0.903088\pi\)
\(608\) −40261.0 69734.1i −2.68553 4.65147i
\(609\) −68.4131 + 118.495i −0.00455211 + 0.00788449i
\(610\) −146.364 + 70.4853i −0.00971494 + 0.00467847i
\(611\) 1174.97 + 362.430i 0.0777973 + 0.0239973i
\(612\) −494.252 6595.33i −0.0326453 0.435622i
\(613\) −568.727 2491.76i −0.0374725 0.164178i 0.952730 0.303820i \(-0.0982620\pi\)
−0.990202 + 0.139642i \(0.955405\pi\)
\(614\) 10584.4 26968.6i 0.695686 1.77258i
\(615\) 16.7431 223.421i 0.00109780 0.0146491i
\(616\) −1409.57 + 212.459i −0.0921970 + 0.0138965i
\(617\) −2345.60 2176.40i −0.153047 0.142007i 0.599933 0.800050i \(-0.295194\pi\)
−0.752980 + 0.658043i \(0.771384\pi\)
\(618\) −3645.00 1755.34i −0.237255 0.114256i
\(619\) 11289.6 7697.10i 0.733063 0.499794i −0.138326 0.990387i \(-0.544172\pi\)
0.871389 + 0.490593i \(0.163220\pi\)
\(620\) 228.182 + 581.397i 0.0147806 + 0.0376604i
\(621\) −7694.01 + 2373.29i −0.497182 + 0.153360i
\(622\) 20399.0 18927.5i 1.31499 1.22014i
\(623\) 187.640 235.293i 0.0120668 0.0151313i
\(624\) −45213.4 + 56695.9i −2.90062 + 3.63726i
\(625\) −11444.8 + 10619.3i −0.732470 + 0.679633i
\(626\) 48135.9 14847.9i 3.07332 0.947992i
\(627\) 4261.18 + 10857.3i 0.271411 + 0.691545i
\(628\) −40404.1 + 27547.0i −2.56735 + 1.75039i
\(629\) −2067.47 995.643i −0.131058 0.0631143i
\(630\) 5.55544 + 5.15470i 0.000351324 + 0.000325981i
\(631\) 2282.71 344.063i 0.144015 0.0217067i −0.0766393 0.997059i \(-0.524419\pi\)
0.220654 + 0.975352i \(0.429181\pi\)
\(632\) −6210.31 + 82870.8i −0.390875 + 5.21586i
\(633\) −1297.45 + 3305.86i −0.0814678 + 0.207577i
\(634\) −9451.62 41410.3i −0.592069 2.59402i
\(635\) 5.76378 + 76.9123i 0.000360203 + 0.00480657i
\(636\) −22184.6 6843.06i −1.38314 0.426643i
\(637\) −25952.0 + 12497.8i −1.61422 + 0.777365i
\(638\) −10704.5 + 18540.7i −0.664255 + 1.15052i
\(639\) −5150.50 8920.93i −0.318859 0.552280i
\(640\) 1118.93 + 762.872i 0.0691086 + 0.0471175i
\(641\) 696.395 3051.10i 0.0429110 0.188005i −0.948930 0.315487i \(-0.897832\pi\)
0.991841 + 0.127482i \(0.0406894\pi\)
\(642\) 27170.2 + 4095.25i 1.67028 + 0.251755i
\(643\) −3553.24 4455.62i −0.217926 0.273270i 0.660837 0.750530i \(-0.270202\pi\)
−0.878762 + 0.477260i \(0.841630\pi\)
\(644\) 582.355 0.0356336
\(645\) 22.2511 + 160.561i 0.00135835 + 0.00980170i
\(646\) 8878.78 0.540760
\(647\) 15995.6 + 20057.9i 0.971953 + 1.21879i 0.975770 + 0.218798i \(0.0702137\pi\)
−0.00381670 + 0.999993i \(0.501215\pi\)
\(648\) 1590.57 + 239.739i 0.0964250 + 0.0145337i
\(649\) −1070.85 + 4691.72i −0.0647685 + 0.283769i
\(650\) −48141.1 32822.0i −2.90500 1.98059i
\(651\) 105.128 + 182.087i 0.00632917 + 0.0109624i
\(652\) 1432.99 2482.00i 0.0860737 0.149084i
\(653\) 28599.1 13772.6i 1.71389 0.825366i 0.722976 0.690873i \(-0.242774\pi\)
0.990914 0.134493i \(-0.0429407\pi\)
\(654\) 16315.5 + 5032.68i 0.975517 + 0.300907i
\(655\) −9.03456 120.558i −0.000538946 0.00719173i
\(656\) 23680.0 + 103749.i 1.40937 + 6.17485i
\(657\) −2480.96 + 6321.40i −0.147324 + 0.375375i
\(658\) 2.67883 35.7465i 0.000158711 0.00211785i
\(659\) −509.556 + 76.8032i −0.0301206 + 0.00453995i −0.164085 0.986446i \(-0.552467\pi\)
0.133965 + 0.990986i \(0.457229\pi\)
\(660\) −377.876 350.618i −0.0222861 0.0206785i
\(661\) 9091.55 + 4378.26i 0.534978 + 0.257632i 0.681809 0.731530i \(-0.261193\pi\)
−0.146832 + 0.989161i \(0.546908\pi\)
\(662\) −46441.4 + 31663.2i −2.72658 + 1.85895i
\(663\) −1655.44 4218.00i −0.0969715 0.247079i
\(664\) 30342.8 9359.51i 1.77339 0.547017i
\(665\) −5.52016 + 5.12196i −0.000321899 + 0.000298678i
\(666\) 7914.90 9924.98i 0.460505 0.577455i
\(667\) 3538.89 4437.62i 0.205437 0.257609i
\(668\) −1063.50 + 986.786i −0.0615990 + 0.0571555i
\(669\) −14602.9 + 4504.41i −0.843920 + 0.260315i
\(670\) −130.310 332.026i −0.00751393 0.0191452i
\(671\) −5233.06 + 3567.84i −0.301073 + 0.205268i
\(672\) 1079.38 + 519.802i 0.0619613 + 0.0298390i
\(673\) −9837.19 9127.58i −0.563441 0.522797i 0.346217 0.938154i \(-0.387466\pi\)
−0.909658 + 0.415358i \(0.863656\pi\)
\(674\) 39036.5 5883.81i 2.23091 0.336255i
\(675\) 1299.05 17334.6i 0.0740749 0.988460i
\(676\) 40492.2 103172.i 2.30384 5.87008i
\(677\) −7092.67 31075.0i −0.402649 1.76412i −0.616599 0.787277i \(-0.711490\pi\)
0.213949 0.976845i \(-0.431367\pi\)
\(678\) −1481.01 19762.7i −0.0838905 1.11944i
\(679\) −437.473 134.943i −0.0247256 0.00762684i
\(680\) −229.438 + 110.492i −0.0129391 + 0.00623112i
\(681\) −4360.35 + 7552.35i −0.245358 + 0.424973i
\(682\) 16449.2 + 28490.8i 0.923566 + 1.59966i
\(683\) −21840.2 14890.4i −1.22356 0.834208i −0.233159 0.972439i \(-0.574906\pi\)
−0.990400 + 0.138230i \(0.955859\pi\)
\(684\) −8089.89 + 35444.1i −0.452229 + 1.98134i
\(685\) −189.270 28.5278i −0.0105571 0.00159123i
\(686\) 1047.44 + 1313.45i 0.0582968 + 0.0731018i
\(687\) −14312.7 −0.794853
\(688\) −32577.9 69759.1i −1.80526 3.86561i
\(689\) 27082.0 1.49745
\(690\) 115.121 + 144.357i 0.00635155 + 0.00796459i
\(691\) −2743.25 413.479i −0.151025 0.0227633i 0.0730946 0.997325i \(-0.476713\pi\)
−0.224120 + 0.974562i \(0.571951\pi\)
\(692\) −8846.56 + 38759.3i −0.485976 + 2.12920i
\(693\) 244.126 + 166.443i 0.0133818 + 0.00912356i
\(694\) 16485.4 + 28553.6i 0.901698 + 1.56179i
\(695\) 99.0461 171.553i 0.00540580 0.00936313i
\(696\) 22915.9 11035.7i 1.24803 0.601017i
\(697\) −6354.06 1959.97i −0.345304 0.106512i
\(698\) 375.820 + 5014.97i 0.0203796 + 0.271947i
\(699\) 1722.59 + 7547.16i 0.0932108 + 0.408383i
\(700\) −459.334 + 1170.36i −0.0248017 + 0.0631937i
\(701\) −275.601 + 3677.64i −0.0148492 + 0.198149i 0.984845 + 0.173435i \(0.0554866\pi\)
−0.999695 + 0.0247141i \(0.992132\pi\)
\(702\) 64131.8 9666.31i 3.44800 0.519703i
\(703\) 9246.64 + 8579.63i 0.496079 + 0.460294i
\(704\) 91451.9 + 44040.9i 4.89591 + 2.35775i
\(705\) 6.95062 4.73885i 0.000371313 0.000253157i
\(706\) 16368.1 + 41705.4i 0.872554 + 2.22323i
\(707\) 375.984 115.976i 0.0200005 0.00616932i
\(708\) 6458.13 5992.27i 0.342813 0.318084i
\(709\) 112.121 140.595i 0.00593906 0.00744735i −0.778853 0.627206i \(-0.784198\pi\)
0.784792 + 0.619759i \(0.212770\pi\)
\(710\) −381.060 + 477.834i −0.0201421 + 0.0252575i
\(711\) 12626.9 11716.0i 0.666026 0.617982i
\(712\) −53458.7 + 16489.8i −2.81383 + 0.867953i
\(713\) −3186.51 8119.08i −0.167371 0.426454i
\(714\) −109.146 + 74.4146i −0.00572086 + 0.00390041i
\(715\) 541.771 + 260.903i 0.0283372 + 0.0136465i
\(716\) −47853.2 44401.3i −2.49771 2.31753i
\(717\) 8583.15 1293.70i 0.447062 0.0673838i
\(718\) −1979.35 + 26412.6i −0.102881 + 1.37286i
\(719\) −9455.19 + 24091.4i −0.490430 + 1.24960i 0.444824 + 0.895618i \(0.353266\pi\)
−0.935254 + 0.353977i \(0.884829\pi\)
\(720\) −187.972 823.558i −0.00972958 0.0426281i
\(721\) −7.61017 101.551i −0.000393090 0.00524542i
\(722\) −10269.0 3167.56i −0.529324 0.163275i
\(723\) −13267.2 + 6389.14i −0.682451 + 0.328651i
\(724\) 12650.6 21911.5i 0.649386 1.12477i
\(725\) 6127.02 + 10612.3i 0.313865 + 0.543629i
\(726\) −3147.02 2145.60i −0.160877 0.109684i
\(727\) −3582.30 + 15695.1i −0.182751 + 0.800686i 0.797562 + 0.603237i \(0.206123\pi\)
−0.980313 + 0.197449i \(0.936734\pi\)
\(728\) −3010.17 453.711i −0.153248 0.0230984i
\(729\) 7193.55 + 9020.42i 0.365470 + 0.458285i
\(730\) 402.909 0.0204278
\(731\) 4792.75 + 416.543i 0.242498 + 0.0210758i
\(732\) 11594.8 0.585458
\(733\) 6813.75 + 8544.17i 0.343345 + 0.430541i 0.923283 0.384119i \(-0.125495\pi\)
−0.579939 + 0.814660i \(0.696923\pi\)
\(734\) −68848.1 10377.2i −3.46217 0.521838i
\(735\) −43.8518 + 192.127i −0.00220068 + 0.00964179i
\(736\) −41061.8 27995.5i −2.05647 1.40207i
\(737\) −6953.06 12043.1i −0.347516 0.601915i
\(738\) 18392.6 31857.0i 0.917401 1.58898i
\(739\) 9427.05 4539.83i 0.469255 0.225981i −0.184285 0.982873i \(-0.558997\pi\)
0.653541 + 0.756891i \(0.273283\pi\)
\(740\) −532.717 164.322i −0.0264636 0.00816294i
\(741\) 1861.36 + 24838.1i 0.0922790 + 1.23138i
\(742\) −175.686 769.733i −0.00869225 0.0380832i
\(743\) −4916.55 + 12527.2i −0.242760 + 0.618543i −0.999376 0.0353168i \(-0.988756\pi\)
0.756616 + 0.653859i \(0.226851\pi\)
\(744\) 2920.80 38975.4i 0.143927 1.92057i
\(745\) 125.546 18.9229i 0.00617400 0.000930581i
\(746\) −32628.8 30275.1i −1.60137 1.48586i
\(747\) −5929.86 2855.67i −0.290445 0.139871i
\(748\) −12640.6 + 8618.21i −0.617896 + 0.421274i
\(749\) 252.685 + 643.832i 0.0123270 + 0.0314087i
\(750\) −761.933 + 235.025i −0.0370958 + 0.0114426i
\(751\) −19132.3 + 17752.2i −0.929623 + 0.862564i −0.990769 0.135564i \(-0.956715\pi\)
0.0611452 + 0.998129i \(0.480525\pi\)
\(752\) −2491.25 + 3123.92i −0.120806 + 0.151486i
\(753\) 9731.63 12203.1i 0.470970 0.590578i
\(754\) −33514.6 + 31097.0i −1.61874 + 1.50197i
\(755\) 169.635 52.3256i 0.00817704 0.00252228i
\(756\) −511.292 1302.75i −0.0245973 0.0626728i
\(757\) −18361.4 + 12518.6i