Properties

Label 225.4.u.a.4.16
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 4.16
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.814957 - 3.83407i) q^{2} +(-3.33680 + 3.98318i) q^{3} +(-6.72759 + 2.99532i) q^{4} +(-9.34277 - 6.14107i) q^{5} +(17.9912 + 9.54742i) q^{6} +(-7.03825 + 4.06354i) q^{7} +(-1.46471 - 2.01600i) q^{8} +(-4.73148 - 26.5822i) q^{9} +O(q^{10})\) \(q+(-0.814957 - 3.83407i) q^{2} +(-3.33680 + 3.98318i) q^{3} +(-6.72759 + 2.99532i) q^{4} +(-9.34277 - 6.14107i) q^{5} +(17.9912 + 9.54742i) q^{6} +(-7.03825 + 4.06354i) q^{7} +(-1.46471 - 2.01600i) q^{8} +(-4.73148 - 26.5822i) q^{9} +(-15.9313 + 40.8255i) q^{10} +(-24.8076 + 5.27302i) q^{11} +(10.5178 - 36.7920i) q^{12} +(1.31609 - 6.19173i) q^{13} +(21.3158 + 23.6736i) q^{14} +(55.6360 - 16.7224i) q^{15} +(-45.9570 + 51.0405i) q^{16} +(51.9374 + 71.4857i) q^{17} +(-98.0621 + 39.8042i) q^{18} +(-20.4471 + 14.8557i) q^{19} +(81.2488 + 13.3301i) q^{20} +(7.29946 - 41.5939i) q^{21} +(40.4343 + 90.8168i) q^{22} +(148.887 - 134.059i) q^{23} +(12.9175 + 0.892788i) q^{24} +(49.5746 + 114.749i) q^{25} -24.8121 q^{26} +(121.670 + 69.8532i) q^{27} +(35.1789 - 48.4196i) q^{28} +(10.0631 - 95.7438i) q^{29} +(-109.456 - 199.684i) q^{30} +(28.9150 + 275.108i) q^{31} +(215.881 + 124.639i) q^{32} +(61.7747 - 116.408i) q^{33} +(231.755 - 257.390i) q^{34} +(90.7112 + 5.25771i) q^{35} +(111.454 + 164.662i) q^{36} +(161.279 - 52.4026i) q^{37} +(73.6214 + 66.2890i) q^{38} +(20.2713 + 25.9028i) q^{39} +(1.30404 + 27.8298i) q^{40} +(27.8301 + 5.91547i) q^{41} +(-165.423 + 5.91058i) q^{42} +(33.3218 - 19.2383i) q^{43} +(151.101 - 109.781i) q^{44} +(-119.038 + 277.408i) q^{45} +(-635.327 - 461.592i) q^{46} +(-304.528 - 32.0072i) q^{47} +(-49.9539 - 353.367i) q^{48} +(-138.475 + 239.846i) q^{49} +(399.555 - 283.588i) q^{50} +(-458.046 - 31.6576i) q^{51} +(9.69206 + 45.5976i) q^{52} +(139.073 - 191.418i) q^{53} +(168.667 - 523.418i) q^{54} +(264.154 + 103.081i) q^{55} +(18.5010 + 8.23720i) q^{56} +(9.05505 - 131.015i) q^{57} +(-375.289 + 39.4445i) q^{58} +(350.066 + 74.4089i) q^{59} +(-324.207 + 279.149i) q^{60} +(-504.603 + 107.257i) q^{61} +(1031.22 - 335.063i) q^{62} +(141.319 + 167.866i) q^{63} +(132.151 - 406.719i) q^{64} +(-50.3198 + 49.7657i) q^{65} +(-496.661 - 141.981i) q^{66} +(848.516 - 89.1826i) q^{67} +(-563.536 - 325.358i) q^{68} +(37.1727 + 1040.37i) q^{69} +(-53.7673 - 352.078i) q^{70} +(450.009 + 326.951i) q^{71} +(-46.6594 + 48.4738i) q^{72} +(-738.063 - 239.811i) q^{73} +(-332.351 - 575.648i) q^{74} +(-622.487 - 185.431i) q^{75} +(93.0623 - 161.189i) q^{76} +(153.175 - 137.919i) q^{77} +(82.7932 - 98.8312i) q^{78} +(-35.3908 + 336.721i) q^{79} +(742.809 - 194.634i) q^{80} +(-684.226 + 251.546i) q^{81} -111.523i q^{82} +(-113.571 + 255.085i) q^{83} +(75.4790 + 301.691i) q^{84} +(-46.2404 - 986.826i) q^{85} +(-100.917 - 112.080i) q^{86} +(347.786 + 359.561i) q^{87} +(46.9662 + 42.2886i) q^{88} +(-324.807 + 999.655i) q^{89} +(1160.61 + 230.325i) q^{90} +(15.8973 + 48.9270i) q^{91} +(-600.104 + 1347.86i) q^{92} +(-1192.29 - 802.806i) q^{93} +(125.459 + 1193.67i) q^{94} +(282.263 - 13.2262i) q^{95} +(-1216.81 + 443.999i) q^{96} +(-603.385 - 63.4183i) q^{97} +(1032.44 + 335.460i) q^{98} +(257.545 + 634.491i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.814957 3.83407i −0.288131 1.35555i −0.849327 0.527867i \(-0.822992\pi\)
0.561196 0.827683i \(-0.310341\pi\)
\(3\) −3.33680 + 3.98318i −0.642168 + 0.766564i
\(4\) −6.72759 + 2.99532i −0.840949 + 0.374415i
\(5\) −9.34277 6.14107i −0.835642 0.549274i
\(6\) 17.9912 + 9.54742i 1.22414 + 0.649620i
\(7\) −7.03825 + 4.06354i −0.380030 + 0.219410i −0.677831 0.735218i \(-0.737080\pi\)
0.297801 + 0.954628i \(0.403747\pi\)
\(8\) −1.46471 2.01600i −0.0647315 0.0890953i
\(9\) −4.73148 26.5822i −0.175240 0.984526i
\(10\) −15.9313 + 40.8255i −0.503793 + 1.29102i
\(11\) −24.8076 + 5.27302i −0.679979 + 0.144534i −0.534938 0.844892i \(-0.679665\pi\)
−0.145042 + 0.989426i \(0.546332\pi\)
\(12\) 10.5178 36.7920i 0.253018 0.885078i
\(13\) 1.31609 6.19173i 0.0280784 0.132098i −0.961876 0.273486i \(-0.911823\pi\)
0.989954 + 0.141388i \(0.0451565\pi\)
\(14\) 21.3158 + 23.6736i 0.406920 + 0.451930i
\(15\) 55.6360 16.7224i 0.957676 0.287847i
\(16\) −45.9570 + 51.0405i −0.718079 + 0.797507i
\(17\) 51.9374 + 71.4857i 0.740981 + 1.01987i 0.998562 + 0.0536161i \(0.0170747\pi\)
−0.257581 + 0.966257i \(0.582925\pi\)
\(18\) −98.0621 + 39.8042i −1.28408 + 0.521219i
\(19\) −20.4471 + 14.8557i −0.246889 + 0.179375i −0.704347 0.709856i \(-0.748760\pi\)
0.457458 + 0.889231i \(0.348760\pi\)
\(20\) 81.2488 + 13.3301i 0.908389 + 0.149035i
\(21\) 7.29946 41.5939i 0.0758510 0.432215i
\(22\) 40.4343 + 90.8168i 0.391846 + 0.880101i
\(23\) 148.887 134.059i 1.34979 1.21535i 0.394780 0.918776i \(-0.370821\pi\)
0.955008 0.296579i \(-0.0958457\pi\)
\(24\) 12.9175 + 0.892788i 0.109866 + 0.00759332i
\(25\) 49.5746 + 114.749i 0.396596 + 0.917993i
\(26\) −24.8121 −0.187156
\(27\) 121.670 + 69.8532i 0.867235 + 0.497898i
\(28\) 35.1789 48.4196i 0.237435 0.326802i
\(29\) 10.0631 95.7438i 0.0644368 0.613075i −0.913883 0.405977i \(-0.866931\pi\)
0.978320 0.207098i \(-0.0664019\pi\)
\(30\) −109.456 199.684i −0.666127 1.21524i
\(31\) 28.9150 + 275.108i 0.167525 + 1.59390i 0.678698 + 0.734418i \(0.262545\pi\)
−0.511173 + 0.859478i \(0.670789\pi\)
\(32\) 215.881 + 124.639i 1.19259 + 0.688541i
\(33\) 61.7747 116.408i 0.325866 0.614063i
\(34\) 231.755 257.390i 1.16899 1.29829i
\(35\) 90.7112 + 5.25771i 0.438085 + 0.0253919i
\(36\) 111.454 + 164.662i 0.515989 + 0.762323i
\(37\) 161.279 52.4026i 0.716596 0.232836i 0.0720494 0.997401i \(-0.477046\pi\)
0.644547 + 0.764565i \(0.277046\pi\)
\(38\) 73.6214 + 66.2890i 0.314288 + 0.282987i
\(39\) 20.2713 + 25.9028i 0.0832308 + 0.106353i
\(40\) 1.30404 + 27.8298i 0.00515469 + 0.110007i
\(41\) 27.8301 + 5.91547i 0.106008 + 0.0225327i 0.260610 0.965444i \(-0.416076\pi\)
−0.154602 + 0.987977i \(0.549410\pi\)
\(42\) −165.423 + 5.91058i −0.607744 + 0.0217148i
\(43\) 33.3218 19.2383i 0.118175 0.0682284i −0.439747 0.898122i \(-0.644932\pi\)
0.557922 + 0.829893i \(0.311599\pi\)
\(44\) 151.101 109.781i 0.517712 0.376140i
\(45\) −119.038 + 277.408i −0.394336 + 0.918966i
\(46\) −635.327 461.592i −2.03639 1.47952i
\(47\) −304.528 32.0072i −0.945105 0.0993346i −0.380578 0.924749i \(-0.624275\pi\)
−0.564528 + 0.825414i \(0.690942\pi\)
\(48\) −49.9539 353.367i −0.150213 1.06259i
\(49\) −138.475 + 239.846i −0.403718 + 0.699260i
\(50\) 399.555 283.588i 1.13011 0.802108i
\(51\) −458.046 31.6576i −1.25763 0.0869206i
\(52\) 9.69206 + 45.5976i 0.0258471 + 0.121601i
\(53\) 139.073 191.418i 0.360437 0.496099i −0.589834 0.807525i \(-0.700807\pi\)
0.950270 + 0.311426i \(0.100807\pi\)
\(54\) 168.667 523.418i 0.425048 1.31904i
\(55\) 264.154 + 103.081i 0.647608 + 0.252716i
\(56\) 18.5010 + 8.23720i 0.0441483 + 0.0196561i
\(57\) 9.05505 131.015i 0.0210416 0.304445i
\(58\) −375.289 + 39.4445i −0.849619 + 0.0892986i
\(59\) 350.066 + 74.4089i 0.772453 + 0.164190i 0.577244 0.816572i \(-0.304128\pi\)
0.195209 + 0.980762i \(0.437461\pi\)
\(60\) −324.207 + 279.149i −0.697583 + 0.600633i
\(61\) −504.603 + 107.257i −1.05914 + 0.225128i −0.704376 0.709827i \(-0.748773\pi\)
−0.354767 + 0.934955i \(0.615440\pi\)
\(62\) 1031.22 335.063i 2.11234 0.686339i
\(63\) 141.319 + 167.866i 0.282612 + 0.335700i
\(64\) 132.151 406.719i 0.258107 0.794373i
\(65\) −50.3198 + 49.7657i −0.0960216 + 0.0949642i
\(66\) −496.661 141.981i −0.926284 0.264798i
\(67\) 848.516 89.1826i 1.54721 0.162618i 0.707913 0.706299i \(-0.249637\pi\)
0.839292 + 0.543681i \(0.182970\pi\)
\(68\) −563.536 325.358i −1.00498 0.580227i
\(69\) 37.1727 + 1040.37i 0.0648560 + 1.81516i
\(70\) −53.7673 352.078i −0.0918060 0.601163i
\(71\) 450.009 + 326.951i 0.752200 + 0.546505i 0.896508 0.443027i \(-0.146096\pi\)
−0.144308 + 0.989533i \(0.546096\pi\)
\(72\) −46.6594 + 48.4738i −0.0763730 + 0.0793429i
\(73\) −738.063 239.811i −1.18334 0.384490i −0.349733 0.936850i \(-0.613728\pi\)
−0.833606 + 0.552359i \(0.813728\pi\)
\(74\) −332.351 575.648i −0.522094 0.904294i
\(75\) −622.487 185.431i −0.958382 0.285489i
\(76\) 93.0623 161.189i 0.140460 0.243284i
\(77\) 153.175 137.919i 0.226700 0.204122i
\(78\) 82.7932 98.8312i 0.120186 0.143467i
\(79\) −35.3908 + 336.721i −0.0504023 + 0.479546i 0.939984 + 0.341218i \(0.110839\pi\)
−0.990387 + 0.138328i \(0.955827\pi\)
\(80\) 742.809 194.634i 1.03811 0.272009i
\(81\) −684.226 + 251.546i −0.938582 + 0.345057i
\(82\) 111.523i 0.150192i
\(83\) −113.571 + 255.085i −0.150193 + 0.337340i −0.972936 0.231074i \(-0.925776\pi\)
0.822743 + 0.568414i \(0.192443\pi\)
\(84\) 75.4790 + 301.691i 0.0980409 + 0.391871i
\(85\) −46.2404 986.826i −0.0590057 1.25925i
\(86\) −100.917 112.080i −0.126537 0.140533i
\(87\) 347.786 + 359.561i 0.428582 + 0.443092i
\(88\) 46.9662 + 42.2886i 0.0568934 + 0.0512270i
\(89\) −324.807 + 999.655i −0.386849 + 1.19060i 0.548282 + 0.836294i \(0.315282\pi\)
−0.935130 + 0.354304i \(0.884718\pi\)
\(90\) 1160.61 + 230.325i 1.35932 + 0.269759i
\(91\) 15.8973 + 48.9270i 0.0183131 + 0.0563620i
\(92\) −600.104 + 1347.86i −0.680056 + 1.52743i
\(93\) −1192.29 802.806i −1.32940 0.895130i
\(94\) 125.459 + 1193.67i 0.137661 + 1.30976i
\(95\) 282.263 13.2262i 0.304837 0.0142840i
\(96\) −1216.81 + 443.999i −1.29365 + 0.472036i
\(97\) −603.385 63.4183i −0.631592 0.0663830i −0.216677 0.976243i \(-0.569522\pi\)
−0.414915 + 0.909860i \(0.636189\pi\)
\(98\) 1032.44 + 335.460i 1.06421 + 0.345781i
\(99\) 257.545 + 634.491i 0.261457 + 0.644129i
\(100\) −677.227 623.494i −0.677227 0.623494i
\(101\) 282.329 + 489.009i 0.278147 + 0.481764i 0.970924 0.239387i \(-0.0769465\pi\)
−0.692777 + 0.721151i \(0.743613\pi\)
\(102\) 251.910 + 1781.98i 0.244537 + 1.72983i
\(103\) 653.410 + 1467.58i 0.625072 + 1.40393i 0.897179 + 0.441667i \(0.145613\pi\)
−0.272107 + 0.962267i \(0.587721\pi\)
\(104\) −14.4102 + 6.41583i −0.0135869 + 0.00604927i
\(105\) −323.628 + 343.775i −0.300789 + 0.319515i
\(106\) −847.247 377.219i −0.776339 0.345648i
\(107\) 664.752i 0.600598i 0.953845 + 0.300299i \(0.0970865\pi\)
−0.953845 + 0.300299i \(0.902913\pi\)
\(108\) −1027.78 105.504i −0.915721 0.0940014i
\(109\) −87.5503 269.452i −0.0769340 0.236778i 0.905192 0.425003i \(-0.139727\pi\)
−0.982126 + 0.188224i \(0.939727\pi\)
\(110\) 179.945 1096.79i 0.155973 0.950680i
\(111\) −329.426 + 817.260i −0.281691 + 0.698837i
\(112\) 116.052 545.984i 0.0979100 0.460630i
\(113\) −214.918 + 1011.11i −0.178919 + 0.841746i 0.793512 + 0.608554i \(0.208250\pi\)
−0.972431 + 0.233191i \(0.925083\pi\)
\(114\) −509.701 + 72.0540i −0.418753 + 0.0591972i
\(115\) −2214.28 + 338.152i −1.79550 + 0.274199i
\(116\) 219.083 + 674.267i 0.175356 + 0.539691i
\(117\) −170.817 5.68857i −0.134975 0.00449494i
\(118\) 1402.82i 1.09441i
\(119\) −656.034 292.085i −0.505366 0.225003i
\(120\) −115.203 87.6685i −0.0876376 0.0666917i
\(121\) −628.317 + 279.745i −0.472064 + 0.210176i
\(122\) 822.459 + 1847.27i 0.610344 + 1.37085i
\(123\) −116.426 + 91.1136i −0.0853478 + 0.0667922i
\(124\) −1018.56 1764.20i −0.737658 1.27766i
\(125\) 241.519 1376.52i 0.172817 0.984954i
\(126\) 528.440 678.631i 0.373628 0.479819i
\(127\) 2611.51 + 848.532i 1.82468 + 0.592874i 0.999612 + 0.0278397i \(0.00886278\pi\)
0.825067 + 0.565035i \(0.191137\pi\)
\(128\) 316.215 + 33.2356i 0.218357 + 0.0229503i
\(129\) −34.5584 + 196.921i −0.0235868 + 0.134403i
\(130\) 231.814 + 152.373i 0.156395 + 0.102800i
\(131\) 23.7234 + 225.713i 0.0158223 + 0.150539i 0.999581 0.0289589i \(-0.00921920\pi\)
−0.983758 + 0.179498i \(0.942553\pi\)
\(132\) −66.9154 + 968.181i −0.0441230 + 0.638404i
\(133\) 83.5453 187.646i 0.0544684 0.122338i
\(134\) −1033.44 3180.59i −0.666234 2.05046i
\(135\) −707.759 1399.80i −0.451216 0.892415i
\(136\) 68.0418 209.411i 0.0429010 0.132036i
\(137\) −1993.98 1795.39i −1.24348 1.11964i −0.988264 0.152755i \(-0.951186\pi\)
−0.255220 0.966883i \(-0.582148\pi\)
\(138\) 3958.57 990.381i 2.44185 0.610919i
\(139\) −1402.54 1557.67i −0.855838 0.950504i 0.143395 0.989666i \(-0.454198\pi\)
−0.999233 + 0.0391612i \(0.987531\pi\)
\(140\) −626.016 + 236.337i −0.377915 + 0.142672i
\(141\) 1143.64 1106.19i 0.683063 0.660694i
\(142\) 886.814 1991.82i 0.524083 1.17711i
\(143\) 160.542i 0.0938824i
\(144\) 1574.21 + 980.142i 0.911003 + 0.567212i
\(145\) −681.986 + 832.713i −0.390592 + 0.476918i
\(146\) −317.964 + 3025.22i −0.180239 + 1.71486i
\(147\) −493.287 1351.89i −0.276773 0.758519i
\(148\) −928.055 + 835.624i −0.515443 + 0.464107i
\(149\) 218.597 378.622i 0.120189 0.208174i −0.799653 0.600462i \(-0.794983\pi\)
0.919842 + 0.392289i \(0.128317\pi\)
\(150\) −203.655 + 2537.78i −0.110856 + 1.38139i
\(151\) −1176.89 2038.44i −0.634265 1.09858i −0.986670 0.162732i \(-0.947969\pi\)
0.352405 0.935848i \(-0.385364\pi\)
\(152\) 59.8981 + 19.4621i 0.0319630 + 0.0103854i
\(153\) 1654.51 1718.84i 0.874241 0.908238i
\(154\) −653.624 474.886i −0.342016 0.248489i
\(155\) 1419.31 2747.83i 0.735494 1.42394i
\(156\) −213.964 113.545i −0.109813 0.0582748i
\(157\) 2339.30 + 1350.59i 1.18915 + 0.686555i 0.958113 0.286391i \(-0.0924556\pi\)
0.231035 + 0.972946i \(0.425789\pi\)
\(158\) 1319.86 138.722i 0.664570 0.0698491i
\(159\) 298.392 + 1192.68i 0.148830 + 0.594876i
\(160\) −1251.51 2490.22i −0.618379 1.23043i
\(161\) −503.153 + 1548.55i −0.246298 + 0.758028i
\(162\) 1522.06 + 2418.37i 0.738176 + 1.17287i
\(163\) 1725.05 560.504i 0.828936 0.269338i 0.136339 0.990662i \(-0.456466\pi\)
0.692597 + 0.721325i \(0.256466\pi\)
\(164\) −204.948 + 43.5631i −0.0975839 + 0.0207421i
\(165\) −1292.02 + 708.212i −0.609596 + 0.334147i
\(166\) 1070.57 + 227.557i 0.500556 + 0.106396i
\(167\) −621.390 + 65.3107i −0.287932 + 0.0302628i −0.247393 0.968915i \(-0.579574\pi\)
−0.0405384 + 0.999178i \(0.512907\pi\)
\(168\) −94.5446 + 46.2071i −0.0434183 + 0.0212200i
\(169\) 1970.45 + 877.303i 0.896884 + 0.399318i
\(170\) −3745.88 + 981.510i −1.68997 + 0.442814i
\(171\) 491.642 + 473.240i 0.219865 + 0.211635i
\(172\) −166.550 + 229.237i −0.0738334 + 0.101623i
\(173\) −456.895 2149.52i −0.200792 0.944653i −0.956948 0.290261i \(-0.906258\pi\)
0.756155 0.654392i \(-0.227075\pi\)
\(174\) 1095.15 1626.46i 0.477145 0.708632i
\(175\) −815.205 606.185i −0.352136 0.261847i
\(176\) 870.946 1508.52i 0.373012 0.646075i
\(177\) −1464.49 + 1146.09i −0.621907 + 0.486697i
\(178\) 4097.45 + 430.660i 1.72538 + 0.181344i
\(179\) −1694.30 1230.98i −0.707476 0.514011i 0.174883 0.984589i \(-0.444045\pi\)
−0.882358 + 0.470578i \(0.844045\pi\)
\(180\) −30.0851 2222.84i −0.0124578 0.920449i
\(181\) 120.550 87.5844i 0.0495049 0.0359674i −0.562758 0.826622i \(-0.690260\pi\)
0.612263 + 0.790655i \(0.290260\pi\)
\(182\) 174.634 100.825i 0.0711249 0.0410640i
\(183\) 1256.54 2367.82i 0.507573 0.956471i
\(184\) −488.338 103.799i −0.195656 0.0415880i
\(185\) −1828.60 500.838i −0.726709 0.199040i
\(186\) −2106.35 + 5225.57i −0.830351 + 2.05998i
\(187\) −1665.39 1499.52i −0.651258 0.586395i
\(188\) 2144.61 696.826i 0.831978 0.270326i
\(189\) −1140.19 + 2.76514i −0.438819 + 0.00106420i
\(190\) −280.742 1071.44i −0.107196 0.409106i
\(191\) −1018.07 + 1130.68i −0.385680 + 0.428342i −0.904455 0.426570i \(-0.859722\pi\)
0.518774 + 0.854911i \(0.326389\pi\)
\(192\) 1179.07 + 1883.52i 0.443189 + 0.707977i
\(193\) 1476.09 + 852.224i 0.550527 + 0.317847i 0.749334 0.662192i \(-0.230374\pi\)
−0.198808 + 0.980038i \(0.563707\pi\)
\(194\) 248.582 + 2365.10i 0.0919958 + 0.875281i
\(195\) −30.3185 366.491i −0.0111341 0.134590i
\(196\) 213.190 2028.37i 0.0776931 0.739200i
\(197\) −825.297 + 1135.92i −0.298477 + 0.410818i −0.931744 0.363115i \(-0.881713\pi\)
0.633267 + 0.773933i \(0.281713\pi\)
\(198\) 2222.80 1504.53i 0.797814 0.540011i
\(199\) 169.873 0.0605125 0.0302562 0.999542i \(-0.490368\pi\)
0.0302562 + 0.999542i \(0.490368\pi\)
\(200\) 158.722 268.016i 0.0561165 0.0947579i
\(201\) −2476.10 + 3677.38i −0.868909 + 1.29046i
\(202\) 1644.81 1480.99i 0.572913 0.515853i
\(203\) 318.232 + 714.760i 0.110027 + 0.247125i
\(204\) 3176.37 1159.01i 1.09015 0.397780i
\(205\) −223.683 226.173i −0.0762082 0.0770568i
\(206\) 5094.32 3701.24i 1.72300 1.25183i
\(207\) −4268.03 3323.45i −1.43308 1.11592i
\(208\) 255.545 + 351.728i 0.0851869 + 0.117250i
\(209\) 428.909 476.352i 0.141954 0.157655i
\(210\) 1581.80 + 960.650i 0.519784 + 0.315672i
\(211\) 2025.14 + 2249.15i 0.660742 + 0.733828i 0.976620 0.214972i \(-0.0689659\pi\)
−0.315879 + 0.948800i \(0.602299\pi\)
\(212\) −362.270 + 1704.35i −0.117362 + 0.552146i
\(213\) −2803.89 + 701.497i −0.901970 + 0.225661i
\(214\) 2548.71 541.745i 0.814141 0.173051i
\(215\) −429.462 24.8920i −0.136228 0.00789592i
\(216\) −37.3868 347.600i −0.0117771 0.109496i
\(217\) −1321.42 1818.78i −0.413382 0.568971i
\(218\) −961.750 + 555.266i −0.298798 + 0.172511i
\(219\) 3417.98 2139.64i 1.05464 0.660197i
\(220\) −2085.88 + 97.7394i −0.639226 + 0.0299527i
\(221\) 510.975 227.501i 0.155529 0.0692460i
\(222\) 3401.90 + 597.012i 1.02847 + 0.180490i
\(223\) 902.467 + 4245.77i 0.271003 + 1.27497i 0.877382 + 0.479792i \(0.159288\pi\)
−0.606379 + 0.795176i \(0.707379\pi\)
\(224\) −2025.90 −0.604292
\(225\) 2815.72 1860.73i 0.834288 0.551329i
\(226\) 4051.82 1.19258
\(227\) 1166.89 + 5489.77i 0.341185 + 1.60515i 0.729741 + 0.683723i \(0.239640\pi\)
−0.388557 + 0.921425i \(0.627026\pi\)
\(228\) 331.513 + 908.539i 0.0962939 + 0.263901i
\(229\) 1193.97 531.590i 0.344541 0.153399i −0.227169 0.973855i \(-0.572947\pi\)
0.571710 + 0.820456i \(0.306280\pi\)
\(230\) 3101.04 + 8214.14i 0.889029 + 2.35489i
\(231\) 38.2432 + 1070.33i 0.0108927 + 0.304861i
\(232\) −207.758 + 119.949i −0.0587931 + 0.0339442i
\(233\) 1173.45 + 1615.11i 0.329936 + 0.454118i 0.941468 0.337102i \(-0.109447\pi\)
−0.611532 + 0.791219i \(0.709447\pi\)
\(234\) 117.398 + 659.560i 0.0327972 + 0.184260i
\(235\) 2648.57 + 2169.16i 0.735208 + 0.602130i
\(236\) −2577.98 + 547.967i −0.711069 + 0.151142i
\(237\) −1223.13 1264.54i −0.335236 0.346585i
\(238\) −585.236 + 2753.32i −0.159392 + 0.749878i
\(239\) −2320.43 2577.10i −0.628018 0.697485i 0.342225 0.939618i \(-0.388820\pi\)
−0.970243 + 0.242133i \(0.922153\pi\)
\(240\) −1703.35 + 3608.20i −0.458127 + 0.970451i
\(241\) −4035.18 + 4481.52i −1.07854 + 1.19784i −0.0993197 + 0.995056i \(0.531667\pi\)
−0.979223 + 0.202787i \(0.935000\pi\)
\(242\) 1584.61 + 2181.03i 0.420921 + 0.579347i
\(243\) 1281.17 3564.76i 0.338219 0.941067i
\(244\) 3073.49 2233.02i 0.806394 0.585880i
\(245\) 2766.66 1390.44i 0.721450 0.362580i
\(246\) 444.218 + 372.132i 0.115131 + 0.0964482i
\(247\) 65.0722 + 146.155i 0.0167629 + 0.0376502i
\(248\) 512.264 461.244i 0.131164 0.118101i
\(249\) −637.085 1303.54i −0.162143 0.331762i
\(250\) −5474.49 + 195.800i −1.38495 + 0.0495340i
\(251\) 6300.99 1.58452 0.792261 0.610182i \(-0.208904\pi\)
0.792261 + 0.610182i \(0.208904\pi\)
\(252\) −1453.55 706.036i −0.363353 0.176492i
\(253\) −2986.64 + 4110.76i −0.742168 + 1.02151i
\(254\) 1125.06 10704.2i 0.277924 2.64427i
\(255\) 4085.00 + 3108.66i 1.00319 + 0.763419i
\(256\) −487.887 4641.93i −0.119113 1.13328i
\(257\) −6218.01 3589.97i −1.50922 0.871347i −0.999942 0.0107429i \(-0.996580\pi\)
−0.509275 0.860604i \(-0.670086\pi\)
\(258\) 783.174 27.9829i 0.188986 0.00675249i
\(259\) −922.180 + 1024.18i −0.221241 + 0.245713i
\(260\) 189.467 485.527i 0.0451933 0.115812i
\(261\) −2592.69 + 185.511i −0.614880 + 0.0439957i
\(262\) 846.068 274.904i 0.199505 0.0648230i
\(263\) −1425.23 1283.29i −0.334158 0.300877i 0.484921 0.874558i \(-0.338848\pi\)
−0.819079 + 0.573681i \(0.805515\pi\)
\(264\) −325.160 + 45.9664i −0.0758039 + 0.0107160i
\(265\) −2474.83 + 934.313i −0.573690 + 0.216583i
\(266\) −787.533 167.395i −0.181529 0.0385852i
\(267\) −2897.99 4629.42i −0.664247 1.06111i
\(268\) −5441.34 + 3141.56i −1.24023 + 0.716049i
\(269\) 3224.51 2342.74i 0.730862 0.531002i −0.158974 0.987283i \(-0.550819\pi\)
0.889836 + 0.456280i \(0.150819\pi\)
\(270\) −4790.16 + 3854.38i −1.07970 + 0.868778i
\(271\) 2746.66 + 1995.57i 0.615675 + 0.447314i 0.851408 0.524504i \(-0.175749\pi\)
−0.235733 + 0.971818i \(0.575749\pi\)
\(272\) −6035.56 634.363i −1.34544 0.141411i
\(273\) −247.931 99.9377i −0.0549652 0.0221557i
\(274\) −5258.64 + 9108.23i −1.15944 + 2.00821i
\(275\) −1834.90 2585.24i −0.402359 0.566894i
\(276\) −3366.33 6887.85i −0.734163 1.50217i
\(277\) 1508.82 + 7098.42i 0.327278 + 1.53972i 0.767036 + 0.641605i \(0.221731\pi\)
−0.439758 + 0.898116i \(0.644936\pi\)
\(278\) −4829.22 + 6646.86i −1.04186 + 1.43400i
\(279\) 7176.15 2070.29i 1.53987 0.444247i
\(280\) −122.266 190.574i −0.0260956 0.0406750i
\(281\) 7485.37 + 3332.70i 1.58911 + 0.707518i 0.995277 0.0970709i \(-0.0309474\pi\)
0.593833 + 0.804588i \(0.297614\pi\)
\(282\) −5173.22 3483.30i −1.09241 0.735559i
\(283\) 3026.16 318.062i 0.635641 0.0668086i 0.218773 0.975776i \(-0.429794\pi\)
0.416868 + 0.908967i \(0.363128\pi\)
\(284\) −4006.80 851.671i −0.837182 0.177948i
\(285\) −889.172 + 1168.44i −0.184807 + 0.242850i
\(286\) 615.529 130.835i 0.127262 0.0270504i
\(287\) −219.913 + 71.4540i −0.0452301 + 0.0146962i
\(288\) 2291.74 6328.33i 0.468897 1.29479i
\(289\) −894.514 + 2753.03i −0.182071 + 0.560356i
\(290\) 3748.47 + 1936.16i 0.759027 + 0.392052i
\(291\) 2265.98 2191.78i 0.456475 0.441527i
\(292\) 5683.70 597.380i 1.13909 0.119723i
\(293\) 4231.04 + 2442.79i 0.843618 + 0.487063i 0.858492 0.512826i \(-0.171402\pi\)
−0.0148745 + 0.999889i \(0.504735\pi\)
\(294\) −4781.25 + 2993.03i −0.948462 + 0.593732i
\(295\) −2813.64 2844.96i −0.555309 0.561492i
\(296\) −341.869 248.383i −0.0671309 0.0487735i
\(297\) −3386.67 1091.32i −0.661665 0.213215i
\(298\) −1629.81 529.558i −0.316820 0.102941i
\(299\) −634.106 1098.30i −0.122646 0.212430i
\(300\) 4743.26 617.044i 0.912842 0.118750i
\(301\) −156.351 + 270.809i −0.0299400 + 0.0518576i
\(302\) −6856.40 + 6173.53i −1.30643 + 1.17631i
\(303\) −2889.89 507.157i −0.547920 0.0961565i
\(304\) 181.447 1726.35i 0.0342326 0.325701i
\(305\) 5373.05 + 2096.73i 1.00872 + 0.393633i
\(306\) −7938.53 4942.71i −1.48306 0.923386i
\(307\) 3179.37i 0.591063i −0.955333 0.295532i \(-0.904503\pi\)
0.955333 0.295532i \(-0.0954968\pi\)
\(308\) −617.386 + 1386.67i −0.114217 + 0.256536i
\(309\) −8025.95 2294.38i −1.47761 0.422404i
\(310\) −11692.1 3202.36i −2.14215 0.586716i
\(311\) 2109.63 + 2342.98i 0.384650 + 0.427197i 0.904111 0.427297i \(-0.140534\pi\)
−0.519461 + 0.854494i \(0.673867\pi\)
\(312\) 22.5286 78.8068i 0.00408791 0.0142999i
\(313\) 6853.90 + 6171.28i 1.23772 + 1.11444i 0.989316 + 0.145787i \(0.0465715\pi\)
0.248400 + 0.968657i \(0.420095\pi\)
\(314\) 3271.85 10069.7i 0.588029 1.80977i
\(315\) −289.437 2436.18i −0.0517712 0.435756i
\(316\) −770.492 2371.33i −0.137163 0.422145i
\(317\) −6.07879 + 13.6532i −0.00107703 + 0.00241905i −0.914083 0.405527i \(-0.867088\pi\)
0.913006 + 0.407946i \(0.133755\pi\)
\(318\) 4329.63 2116.04i 0.763502 0.373149i
\(319\) 255.218 + 2428.24i 0.0447945 + 0.426191i
\(320\) −3732.34 + 2988.33i −0.652014 + 0.522040i
\(321\) −2647.83 2218.15i −0.460397 0.385685i
\(322\) 6347.29 + 667.127i 1.09851 + 0.115458i
\(323\) −2123.94 690.110i −0.365880 0.118882i
\(324\) 3849.73 3741.78i 0.660105 0.641594i
\(325\) 775.741 155.932i 0.132401 0.0266140i
\(326\) −3554.86 6157.19i −0.603943 1.04606i
\(327\) 1365.42 + 550.380i 0.230910 + 0.0930768i
\(328\) −28.8374 64.7698i −0.00485450 0.0109034i
\(329\) 2273.41 1012.19i 0.380963 0.169616i
\(330\) 3768.27 + 4376.52i 0.628596 + 0.730060i
\(331\) 4948.96 + 2203.42i 0.821812 + 0.365894i 0.774176 0.632971i \(-0.218165\pi\)
0.0476358 + 0.998865i \(0.484831\pi\)
\(332\) 2056.29i 0.339920i
\(333\) −2156.06 4039.20i −0.354810 0.664705i
\(334\) 756.812 + 2329.23i 0.123985 + 0.381586i
\(335\) −8475.16 4377.58i −1.38223 0.713949i
\(336\) 1787.51 + 2284.10i 0.290228 + 0.370857i
\(337\) 1450.84 6825.66i 0.234517 1.10332i −0.690483 0.723349i \(-0.742602\pi\)
0.925000 0.379968i \(-0.124065\pi\)
\(338\) 1757.81 8269.83i 0.282876 1.33083i
\(339\) −3310.30 4229.93i −0.530356 0.677695i
\(340\) 3266.94 + 6500.46i 0.521102 + 1.03687i
\(341\) −2167.96 6672.29i −0.344286 1.05960i
\(342\) 1413.77 2270.66i 0.223532 0.359016i
\(343\) 5038.38i 0.793140i
\(344\) −87.5911 38.9981i −0.0137285 0.00611231i
\(345\) 6041.70 9948.23i 0.942824 1.55245i
\(346\) −7869.06 + 3503.53i −1.22267 + 0.544367i
\(347\) 3489.60 + 7837.76i 0.539860 + 1.21254i 0.953303 + 0.302015i \(0.0976593\pi\)
−0.413443 + 0.910530i \(0.635674\pi\)
\(348\) −3416.76 1377.25i −0.526315 0.212150i
\(349\) 3866.35 + 6696.72i 0.593012 + 1.02713i 0.993824 + 0.110966i \(0.0353945\pi\)
−0.400813 + 0.916160i \(0.631272\pi\)
\(350\) −1659.80 + 3619.57i −0.253486 + 0.552784i
\(351\) 592.641 661.413i 0.0901221 0.100580i
\(352\) −6012.72 1953.65i −0.910452 0.295824i
\(353\) −7672.13 806.374i −1.15679 0.121583i −0.493362 0.869824i \(-0.664232\pi\)
−0.663427 + 0.748241i \(0.730899\pi\)
\(354\) 5587.68 + 4680.93i 0.838932 + 0.702793i
\(355\) −2196.50 5818.16i −0.328389 0.869847i
\(356\) −809.110 7698.17i −0.120457 1.14607i
\(357\) 3352.48 1638.47i 0.497009 0.242905i
\(358\) −3338.89 + 7499.28i −0.492922 + 1.10712i
\(359\) −3573.38 10997.7i −0.525337 1.61682i −0.763649 0.645632i \(-0.776594\pi\)
0.238312 0.971189i \(-0.423406\pi\)
\(360\) 733.608 166.341i 0.107402 0.0243526i
\(361\) −1922.15 + 5915.78i −0.280238 + 0.862485i
\(362\) −434.048 390.818i −0.0630195 0.0567430i
\(363\) 982.296 3436.15i 0.142031 0.496836i
\(364\) −253.503 281.543i −0.0365031 0.0405408i
\(365\) 5422.85 + 6772.99i 0.777658 + 0.971273i
\(366\) −10102.4 2887.98i −1.44279 0.412452i
\(367\) 2874.57 6456.40i 0.408860 0.918314i −0.585342 0.810786i \(-0.699040\pi\)
0.994202 0.107528i \(-0.0342934\pi\)
\(368\) 13760.2i 1.94919i
\(369\) 25.5685 767.774i 0.00360716 0.108316i
\(370\) −430.021 + 7419.14i −0.0604209 + 1.04244i
\(371\) −200.999 + 1912.37i −0.0281276 + 0.267616i
\(372\) 10425.9 + 1829.67i 1.45311 + 0.255011i
\(373\) −4842.80 + 4360.48i −0.672254 + 0.605300i −0.932901 0.360134i \(-0.882731\pi\)
0.260647 + 0.965434i \(0.416064\pi\)
\(374\) −4392.06 + 7607.27i −0.607240 + 1.05177i
\(375\) 4677.01 + 5555.17i 0.644053 + 0.764981i
\(376\) 381.518 + 660.808i 0.0523278 + 0.0906345i
\(377\) −579.576 188.316i −0.0791769 0.0257261i
\(378\) 939.811 + 4369.33i 0.127880 + 0.594535i
\(379\) 2441.18 + 1773.62i 0.330857 + 0.240382i 0.740794 0.671732i \(-0.234449\pi\)
−0.409937 + 0.912114i \(0.634449\pi\)
\(380\) −1859.33 + 934.446i −0.251004 + 0.126148i
\(381\) −12094.0 + 7570.75i −1.62623 + 1.01801i
\(382\) 5164.80 + 2981.90i 0.691765 + 0.399390i
\(383\) −4999.21 + 525.438i −0.666965 + 0.0701009i −0.431959 0.901893i \(-0.642178\pi\)
−0.235006 + 0.971994i \(0.575511\pi\)
\(384\) −1187.53 + 1148.64i −0.157815 + 0.152647i
\(385\) −2278.05 + 347.890i −0.301559 + 0.0460523i
\(386\) 2064.53 6353.98i 0.272233 0.837847i
\(387\) −669.059 794.740i −0.0878816 0.104390i
\(388\) 4249.28 1380.68i 0.555991 0.180653i
\(389\) −6705.44 + 1425.29i −0.873983 + 0.185771i −0.623001 0.782221i \(-0.714087\pi\)
−0.250982 + 0.967992i \(0.580753\pi\)
\(390\) −1380.45 + 414.918i −0.179235 + 0.0538723i
\(391\) 17316.1 + 3680.65i 2.23967 + 0.476057i
\(392\) 686.355 72.1388i 0.0884341 0.00929480i
\(393\) −978.218 658.667i −0.125559 0.0845428i
\(394\) 5027.80 + 2238.52i 0.642885 + 0.286231i
\(395\) 2398.48 2928.57i 0.305520 0.373044i
\(396\) −3633.16 3497.17i −0.461043 0.443786i
\(397\) −6518.81 + 8972.38i −0.824106 + 1.13428i 0.164886 + 0.986313i \(0.447274\pi\)
−0.988992 + 0.147971i \(0.952726\pi\)
\(398\) −138.439 651.306i −0.0174355 0.0820277i
\(399\) 468.653 + 958.913i 0.0588020 + 0.120315i
\(400\) −8135.15 2743.22i −1.01689 0.342903i
\(401\) −2189.34 + 3792.04i −0.272644 + 0.472233i −0.969538 0.244941i \(-0.921231\pi\)
0.696894 + 0.717174i \(0.254565\pi\)
\(402\) 16117.3 + 6496.64i 1.99964 + 0.806028i
\(403\) 1741.45 + 183.034i 0.215255 + 0.0226242i
\(404\) −3364.13 2444.19i −0.414287 0.300997i
\(405\) 7937.33 + 1851.74i 0.973849 + 0.227194i
\(406\) 2481.10 1802.62i 0.303288 0.220351i
\(407\) −3724.62 + 2150.41i −0.453618 + 0.261896i
\(408\) 607.081 + 969.787i 0.0736642 + 0.117676i
\(409\) −2818.96 599.188i −0.340803 0.0724399i 0.0343309 0.999411i \(-0.489070\pi\)
−0.375134 + 0.926971i \(0.622403\pi\)
\(410\) −684.873 + 1041.94i −0.0824963 + 0.125506i
\(411\) 13804.9 1951.53i 1.65680 0.234214i
\(412\) −8791.75 7916.13i −1.05131 0.946601i
\(413\) −2766.22 + 898.798i −0.329580 + 0.107087i
\(414\) −9264.09 + 19072.4i −1.09977 + 2.26415i
\(415\) 2627.56 1685.75i 0.310800 0.199398i
\(416\) 1055.85 1172.64i 0.124441 0.138206i
\(417\) 10884.5 388.904i 1.27821 0.0456708i
\(418\) −2175.91 1256.26i −0.254611 0.147000i
\(419\) 448.851 + 4270.53i 0.0523337 + 0.497921i 0.989023 + 0.147760i \(0.0472065\pi\)
−0.936690 + 0.350161i \(0.886127\pi\)
\(420\) 1147.52 3282.15i 0.133317 0.381315i
\(421\) 322.418 3067.60i 0.0373247 0.355120i −0.959881 0.280409i \(-0.909530\pi\)
0.997205 0.0747112i \(-0.0238035\pi\)
\(422\) 6972.99 9597.50i 0.804360 1.10711i
\(423\) 590.048 + 8246.46i 0.0678230 + 0.947888i
\(424\) −589.598 −0.0675316
\(425\) −5628.15 + 9503.65i −0.642366 + 1.08469i
\(426\) 4974.65 + 10178.6i 0.565780 + 1.15765i
\(427\) 3115.68 2805.37i 0.353111 0.317942i
\(428\) −1991.14 4472.18i −0.224873 0.505073i
\(429\) −639.467 535.696i −0.0719668 0.0602883i
\(430\) 254.555 + 1666.87i 0.0285482 + 0.186939i
\(431\) −2570.54 + 1867.60i −0.287282 + 0.208722i −0.722087 0.691802i \(-0.756817\pi\)
0.434806 + 0.900524i \(0.356817\pi\)
\(432\) −9156.92 + 2999.83i −1.01982 + 0.334096i
\(433\) −2622.35 3609.36i −0.291044 0.400588i 0.638309 0.769780i \(-0.279634\pi\)
−0.929353 + 0.369193i \(0.879634\pi\)
\(434\) −5896.43 + 6548.65i −0.652161 + 0.724298i
\(435\) −1041.20 5495.08i −0.114762 0.605675i
\(436\) 1396.10 + 1550.52i 0.153351 + 0.170313i
\(437\) −1052.78 + 4952.94i −0.115243 + 0.542176i
\(438\) −10989.0 11361.1i −1.19880 1.23939i
\(439\) −301.756 + 64.1402i −0.0328065 + 0.00697323i −0.224286 0.974523i \(-0.572005\pi\)
0.191479 + 0.981497i \(0.438672\pi\)
\(440\) −179.097 683.515i −0.0194048 0.0740575i
\(441\) 7030.84 + 2546.15i 0.759188 + 0.274932i
\(442\) −1288.68 1773.71i −0.138679 0.190875i
\(443\) 5426.93 3133.24i 0.582034 0.336038i −0.179907 0.983684i \(-0.557580\pi\)
0.761941 + 0.647646i \(0.224246\pi\)
\(444\) −231.707 6484.93i −0.0247665 0.693155i
\(445\) 9173.55 7344.87i 0.977231 0.782428i
\(446\) 15543.1 6920.24i 1.65020 0.734715i
\(447\) 778.703 + 2134.10i 0.0823969 + 0.225815i
\(448\) 722.605 + 3399.59i 0.0762051 + 0.358517i
\(449\) 659.466 0.0693143 0.0346572 0.999399i \(-0.488966\pi\)
0.0346572 + 0.999399i \(0.488966\pi\)
\(450\) −9428.88 9279.26i −0.987737 0.972064i
\(451\) −721.590 −0.0753400
\(452\) −1582.71 7446.08i −0.164700 0.774855i
\(453\) 12046.5 + 2114.09i 1.24944 + 0.219268i
\(454\) 20097.2 8947.85i 2.07755 0.924985i
\(455\) 151.939 554.740i 0.0156549 0.0571574i
\(456\) −277.389 + 173.644i −0.0284867 + 0.0178325i
\(457\) −4929.26 + 2845.91i −0.504554 + 0.291304i −0.730592 0.682814i \(-0.760756\pi\)
0.226038 + 0.974118i \(0.427423\pi\)
\(458\) −3011.19 4144.55i −0.307213 0.422843i
\(459\) 1325.71 + 12325.6i 0.134812 + 1.25340i
\(460\) 13883.9 8907.42i 1.40726 0.902849i
\(461\) 3660.52 778.067i 0.369821 0.0786078i −0.0192526 0.999815i \(-0.506129\pi\)
0.389073 + 0.921207i \(0.372795\pi\)
\(462\) 4072.57 1018.90i 0.410115 0.102605i
\(463\) 4037.38 18994.4i 0.405255 1.90657i −0.0165027 0.999864i \(-0.505253\pi\)
0.421757 0.906709i \(-0.361413\pi\)
\(464\) 4424.34 + 4913.72i 0.442661 + 0.491625i
\(465\) 6209.17 + 14822.3i 0.619233 + 1.47821i
\(466\) 5236.14 5815.33i 0.520514 0.578090i
\(467\) 480.796 + 661.760i 0.0476416 + 0.0655730i 0.832173 0.554516i \(-0.187097\pi\)
−0.784532 + 0.620089i \(0.787097\pi\)
\(468\) 1166.23 473.380i 0.115190 0.0467565i
\(469\) −5609.67 + 4075.67i −0.552304 + 0.401272i
\(470\) 6158.25 11922.6i 0.604381 1.17010i
\(471\) −13185.4 + 4811.18i −1.28992 + 0.470674i
\(472\) −362.736 814.719i −0.0353735 0.0794502i
\(473\) −725.189 + 652.963i −0.0704952 + 0.0634742i
\(474\) −3851.54 + 5720.12i −0.373222 + 0.554290i
\(475\) −2718.34 1609.82i −0.262581 0.155503i
\(476\) 5288.41 0.509231
\(477\) −5746.32 2791.18i −0.551585 0.267923i
\(478\) −7989.74 + 10996.9i −0.764524 + 1.05228i
\(479\) −1686.56 + 16046.6i −0.160879 + 1.53066i 0.554653 + 0.832082i \(0.312851\pi\)
−0.715532 + 0.698580i \(0.753816\pi\)
\(480\) 14095.0 + 3324.37i 1.34031 + 0.316116i
\(481\) −112.205 1067.56i −0.0106364 0.101199i
\(482\) 20471.0 + 11818.9i 1.93450 + 1.11688i
\(483\) −4489.22 7171.35i −0.422912 0.675585i
\(484\) 3389.14 3764.02i 0.318288 0.353495i
\(485\) 5247.83 + 4297.93i 0.491323 + 0.402389i
\(486\) −14711.6 2006.98i −1.37311 0.187322i
\(487\) 6355.68 2065.09i 0.591383 0.192152i 0.00198916 0.999998i \(-0.499367\pi\)
0.589393 + 0.807846i \(0.299367\pi\)
\(488\) 955.323 + 860.177i 0.0886177 + 0.0797918i
\(489\) −3523.57 + 8741.49i −0.325852 + 0.808393i
\(490\) −7585.76 9474.41i −0.699367 0.873490i
\(491\) −13950.7 2965.30i −1.28225 0.272551i −0.484101 0.875012i \(-0.660853\pi\)
−0.798148 + 0.602461i \(0.794187\pi\)
\(492\) 510.352 961.708i 0.0467652 0.0881242i
\(493\) 7366.96 4253.32i 0.673005 0.388559i
\(494\) 507.336 368.601i 0.0462068 0.0335712i
\(495\) 1490.27 7509.50i 0.135318 0.681873i
\(496\) −15370.5 11167.3i −1.39144 1.01094i
\(497\) −4495.85 472.533i −0.405767 0.0426479i
\(498\) −4478.68 + 3504.96i −0.403001 + 0.315384i
\(499\) 2246.62 3891.25i 0.201548 0.349091i −0.747480 0.664285i \(-0.768736\pi\)
0.949027 + 0.315194i \(0.102070\pi\)
\(500\) 2498.26 + 9984.06i 0.223451 + 0.893001i
\(501\) 1813.31 2693.04i 0.161702 0.240152i
\(502\) −5135.04 24158.5i −0.456550 2.14790i
\(503\) −5922.93 + 8152.21i −0.525031 + 0.722643i −0.986363 0.164585i \(-0.947372\pi\)
0.461332 + 0.887227i \(0.347372\pi\)
\(504\) 131.425 530.773i 0.0116154 0.0469097i
\(505\) 365.299 6302.50i 0.0321893 0.555362i
\(506\) 18194.9 + 8100.90i 1.59854 + 0.711717i
\(507\) −10069.5 + 4921.29i −0.882053 + 0.431089i
\(508\) −20110.8 + 2113.73i −1.75644 + 0.184610i
\(509\) −1550.64 329.599i −0.135031 0.0287018i 0.139900 0.990166i \(-0.455322\pi\)
−0.274931 + 0.961464i \(0.588655\pi\)
\(510\) 8589.72 18195.6i 0.745803 1.57983i
\(511\) 6169.15 1311.29i 0.534065 0.113519i
\(512\) −14980.7 + 4867.54i −1.29309 + 0.420150i
\(513\) −3525.51 + 379.193i −0.303422 + 0.0326351i
\(514\) −8696.79 + 26766.0i −0.746302 + 2.29688i
\(515\) 2907.87 17723.9i 0.248808 1.51652i
\(516\) −357.347 1428.32i −0.0304870 0.121857i
\(517\) 7723.38 811.760i 0.657009 0.0690545i
\(518\) 4678.34 + 2701.04i 0.396823 + 0.229106i
\(519\) 10086.5 + 5352.63i 0.853079 + 0.452706i
\(520\) 174.031 + 28.5524i 0.0146765 + 0.00240789i
\(521\) −4945.05 3592.79i −0.415828 0.302117i 0.360129 0.932903i \(-0.382733\pi\)
−0.775957 + 0.630786i \(0.782733\pi\)
\(522\) 2824.20 + 9789.39i 0.236804 + 0.820823i
\(523\) −11381.6 3698.11i −0.951593 0.309191i −0.208230 0.978080i \(-0.566770\pi\)
−0.743363 + 0.668889i \(0.766770\pi\)
\(524\) −835.685 1447.45i −0.0696700 0.120672i
\(525\) 5134.73 1224.39i 0.426853 0.101784i
\(526\) −3758.70 + 6510.27i −0.311573 + 0.539660i
\(527\) −18164.5 + 16355.4i −1.50144 + 1.35190i
\(528\) 3102.55 + 8502.78i 0.255722 + 0.700826i
\(529\) 2923.88 27818.9i 0.240312 2.28642i
\(530\) 5599.11 + 8727.27i 0.458886 + 0.715261i
\(531\) 321.618 9657.59i 0.0262845 0.789273i
\(532\) 1512.65i 0.123274i
\(533\) 73.2540 164.531i 0.00595307 0.0133708i
\(534\) −15387.8 + 14883.9i −1.24699 + 1.20616i
\(535\) 4082.29 6210.63i 0.329893 0.501886i
\(536\) −1422.62 1579.98i −0.114641 0.127322i
\(537\) 10556.8 2641.17i 0.848341 0.212244i
\(538\) −11610.1 10453.8i −0.930384 0.837721i
\(539\) 2170.53 6680.19i 0.173453 0.533834i
\(540\) 8954.37 + 7297.35i 0.713583 + 0.581533i
\(541\) 4563.72 + 14045.7i 0.362679 + 1.11621i 0.951421 + 0.307892i \(0.0996234\pi\)
−0.588742 + 0.808321i \(0.700377\pi\)
\(542\) 5412.74 12157.2i 0.428961 0.963463i
\(543\) −53.3857 + 772.423i −0.00421915 + 0.0610458i
\(544\) 2302.40 + 21905.9i 0.181461 + 1.72648i
\(545\) −836.762 + 3055.08i −0.0657669 + 0.240120i
\(546\) −181.115 + 1032.03i −0.0141960 + 0.0808917i
\(547\) 6802.57 + 714.979i 0.531731 + 0.0558872i 0.366590 0.930383i \(-0.380525\pi\)
0.165141 + 0.986270i \(0.447192\pi\)
\(548\) 18792.4 + 6106.04i 1.46492 + 0.475980i
\(549\) 5238.63 + 12906.0i 0.407249 + 1.00330i
\(550\) −8416.64 + 9142.00i −0.652521 + 0.708757i
\(551\) 1216.58 + 2107.18i 0.0940618 + 0.162920i
\(552\) 2042.94 1598.78i 0.157524 0.123276i
\(553\) −1119.19 2513.74i −0.0860629 0.193300i
\(554\) 25986.2 11569.8i 1.99287 0.887282i
\(555\) 8096.60 5612.44i 0.619246 0.429252i
\(556\) 14101.4 + 6278.35i 1.07560 + 0.478887i
\(557\) 11999.6i 0.912817i −0.889770 0.456409i \(-0.849136\pi\)
0.889770 0.456409i \(-0.150864\pi\)
\(558\) −13785.9 25826.7i −1.04588 1.95937i
\(559\) −75.2641 231.639i −0.00569469 0.0175265i
\(560\) −4437.17 + 4388.31i −0.334830 + 0.331143i
\(561\) 11529.9 1629.93i 0.867727 0.122666i
\(562\) 6677.57 31415.5i 0.501203 2.35797i
\(563\) 3134.95 14748.8i 0.234676 1.10406i −0.690148 0.723668i \(-0.742455\pi\)
0.924824 0.380395i \(-0.124212\pi\)
\(564\) −4380.56 + 10867.5i −0.327047 + 0.811359i
\(565\) 8217.23 8126.74i 0.611861 0.605123i
\(566\) −3685.66 11343.3i −0.273710 0.842394i
\(567\) 3793.59 4550.83i 0.280980 0.337066i
\(568\) 1386.10i 0.102394i
\(569\) 5627.89 + 2505.70i 0.414646 + 0.184612i 0.603447 0.797403i \(-0.293793\pi\)
−0.188801 + 0.982015i \(0.560460\pi\)
\(570\) 5204.51 + 2456.93i 0.382444 + 0.180543i
\(571\) −17964.4 + 7998.26i −1.31661 + 0.586194i −0.940315 0.340304i \(-0.889470\pi\)
−0.376298 + 0.926499i \(0.622803\pi\)
\(572\) −480.874 1080.06i −0.0351509 0.0789503i
\(573\) −1106.61 7828.02i −0.0806794 0.570716i
\(574\) 453.180 + 784.930i 0.0329536 + 0.0570773i
\(575\) 22764.1 + 10438.8i 1.65101 + 0.757091i
\(576\) −11436.8 1588.48i −0.827311 0.114907i
\(577\) −21571.1 7008.88i −1.55636 0.505691i −0.600524 0.799607i \(-0.705041\pi\)
−0.955831 + 0.293916i \(0.905041\pi\)
\(578\) 11284.3 + 1186.03i 0.812051 + 0.0853500i
\(579\) −8320.00 + 3035.85i −0.597180 + 0.217903i
\(580\) 2093.88 7644.92i 0.149903 0.547307i
\(581\) −237.205 2256.85i −0.0169379 0.161153i
\(582\) −10250.1 6901.74i −0.730036 0.491557i
\(583\) −2440.72 + 5481.94i −0.173386 + 0.389432i
\(584\) 597.587 + 1839.18i 0.0423430 + 0.130318i
\(585\) 1560.97 + 1102.15i 0.110322 + 0.0778942i
\(586\) 5917.72 18212.9i 0.417165 1.28390i
\(587\) −19557.5 17609.6i −1.37517 1.23821i −0.941448 0.337157i \(-0.890535\pi\)
−0.433718 0.901048i \(-0.642799\pi\)
\(588\) 7367.98 + 7617.43i 0.516752 + 0.534248i
\(589\) −4678.14 5195.60i −0.327266 0.363465i
\(590\) −8614.81 + 13106.2i −0.601129 + 0.914532i
\(591\) −1770.74 7077.66i −0.123246 0.492616i
\(592\) −4737.24 + 10640.0i −0.328884 + 0.738685i
\(593\) 4687.56i 0.324612i −0.986740 0.162306i \(-0.948107\pi\)
0.986740 0.162306i \(-0.0518932\pi\)
\(594\) −1424.22 + 13874.1i −0.0983778 + 0.958354i
\(595\) 4335.45 + 6757.63i 0.298717 + 0.465606i
\(596\) −336.542 + 3201.98i −0.0231297 + 0.220064i
\(597\) −566.833 + 676.636i −0.0388592 + 0.0463867i
\(598\) −3694.21 + 3326.28i −0.252621 + 0.227461i
\(599\) −1821.50 + 3154.93i −0.124248 + 0.215204i −0.921439 0.388524i \(-0.872985\pi\)
0.797191 + 0.603727i \(0.206318\pi\)
\(600\) 537.934 + 1526.53i 0.0366017 + 0.103867i
\(601\) 13193.8 + 22852.3i 0.895482 + 1.55102i 0.833207 + 0.552961i \(0.186502\pi\)
0.0622743 + 0.998059i \(0.480165\pi\)
\(602\) 1165.72 + 378.765i 0.0789222 + 0.0256434i
\(603\) −6385.41 22133.5i −0.431234 1.49477i
\(604\) 14023.4 + 10188.6i 0.944709 + 0.686371i
\(605\) 7588.15 + 1244.95i 0.509921 + 0.0836600i
\(606\) 410.659 + 11493.4i 0.0275279 + 0.770438i
\(607\) 7050.90 + 4070.84i 0.471478 + 0.272208i 0.716858 0.697219i \(-0.245579\pi\)
−0.245380 + 0.969427i \(0.578913\pi\)
\(608\) −6265.76 + 658.557i −0.417944 + 0.0439277i
\(609\) −3908.90 1117.44i −0.260093 0.0743529i
\(610\) 3660.19 22309.4i 0.242945 1.48079i
\(611\) −598.967 + 1843.43i −0.0396589 + 0.122058i
\(612\) −5982.36 + 16519.5i −0.395135 + 1.09111i
\(613\) 6883.93 2236.72i 0.453571 0.147374i −0.0733171 0.997309i \(-0.523359\pi\)
0.526889 + 0.849934i \(0.323359\pi\)
\(614\) −12189.9 + 2591.05i −0.801215 + 0.170304i
\(615\) 1647.28 136.273i 0.108007 0.00893507i
\(616\) −502.401 106.789i −0.0328609 0.00698480i
\(617\) −21021.4 + 2209.44i −1.37162 + 0.144163i −0.761511 0.648152i \(-0.775542\pi\)
−0.610112 + 0.792315i \(0.708876\pi\)
\(618\) −2256.03 + 32641.9i −0.146846 + 2.12468i
\(619\) 1912.01 + 851.281i 0.124152 + 0.0552760i 0.467873 0.883796i \(-0.345021\pi\)
−0.343721 + 0.939072i \(0.611687\pi\)
\(620\) −1317.89 + 22737.6i −0.0853675 + 1.47284i
\(621\) 27479.5 5910.63i 1.77571 0.381941i
\(622\) 7263.90 9997.90i 0.468257 0.644501i
\(623\) −1776.06 8355.69i −0.114215 0.537341i
\(624\) −2253.70 155.763i −0.144584 0.00999283i
\(625\) −10709.7 + 11377.3i −0.685422 + 0.728146i
\(626\) 18075.5 31307.7i 1.15406 1.99889i
\(627\) 466.211 + 3297.92i 0.0296949 + 0.210058i
\(628\) −19783.3 2079.31i −1.25707 0.132123i
\(629\) 12122.4 + 8807.47i 0.768447 + 0.558310i
\(630\) −9104.61 + 3095.10i −0.575772 + 0.195733i
\(631\) −10025.1 + 7283.69i −0.632479 + 0.459523i −0.857258 0.514887i \(-0.827834\pi\)
0.224779 + 0.974410i \(0.427834\pi\)
\(632\) 730.666 421.850i 0.0459879 0.0265511i
\(633\) −15716.3 + 561.545i −0.986833 + 0.0352597i
\(634\) 57.3012 + 12.1797i 0.00358947 + 0.000762965i
\(635\) −19187.9 23965.1i −1.19913 1.49768i
\(636\) −5579.90 7130.06i −0.347889 0.444536i
\(637\) 1302.82 + 1173.06i 0.0810354 + 0.0729646i
\(638\) 9102.04 2957.43i 0.564817 0.183520i
\(639\) 6561.85 13509.2i 0.406233 0.836330i
\(640\) −2750.22 2252.41i −0.169863 0.139116i
\(641\) −6747.24 + 7493.57i −0.415756 + 0.461744i −0.914251 0.405149i \(-0.867220\pi\)
0.498494 + 0.866893i \(0.333886\pi\)
\(642\) −6346.67 + 11959.7i −0.390161 + 0.735219i
\(643\) 2003.44 + 1156.69i 0.122874 + 0.0709413i 0.560177 0.828373i \(-0.310733\pi\)
−0.437303 + 0.899314i \(0.644066\pi\)
\(644\) −1253.38 11925.1i −0.0766926 0.729681i
\(645\) 1532.18 1627.56i 0.0935341 0.0993570i
\(646\) −915.012 + 8705.76i −0.0557286 + 0.530222i
\(647\) 2046.10 2816.21i 0.124328 0.171123i −0.742316 0.670050i \(-0.766272\pi\)
0.866644 + 0.498927i \(0.166272\pi\)
\(648\) 1509.31 + 1010.96i 0.0914987 + 0.0612871i
\(649\) −9076.66 −0.548983
\(650\) −1230.05 2847.17i −0.0742254 0.171808i
\(651\) 11653.8 + 805.450i 0.701613 + 0.0484917i
\(652\) −9926.57 + 8937.92i −0.596249 + 0.536865i
\(653\) −1130.32 2538.74i −0.0677380 0.152142i 0.876504 0.481395i \(-0.159870\pi\)
−0.944242 + 0.329253i \(0.893203\pi\)
\(654\) 997.442 5683.64i 0.0596377 0.339829i
\(655\) 1164.48 2254.47i 0.0694656 0.134488i
\(656\) −1580.92 + 1148.60i −0.0940921 + 0.0683619i
\(657\) −2882.57 + 20754.0i −0.171172 + 1.23241i
\(658\) −5733.52 7891.52i −0.339690 0.467543i
\(659\) −20377.0 + 22630.9i −1.20451 + 1.33775i −0.278418 + 0.960460i \(0.589810\pi\)
−0.926096 + 0.377288i \(0.876857\pi\)
\(660\) 6570.84 8634.56i 0.387530 0.509242i
\(661\) −12315.7 13678.0i −0.724700 0.804861i 0.262401 0.964959i \(-0.415486\pi\)
−0.987101 + 0.160098i \(0.948819\pi\)
\(662\) 4414.88 20770.4i 0.259198 1.21943i
\(663\) −798.847 + 2794.43i −0.0467943 + 0.163690i
\(664\) 680.598 144.666i 0.0397776 0.00845499i
\(665\) −1932.89 + 1240.07i −0.112713 + 0.0723128i
\(666\) −13729.5 + 11558.3i −0.798809 + 0.672484i
\(667\) −11337.0 15604.1i −0.658127 0.905835i
\(668\) 3984.83 2300.64i 0.230805 0.133255i
\(669\) −19923.0 10572.6i −1.15137 0.611003i
\(670\) −9877.07 + 36061.9i −0.569529 + 2.07939i
\(671\) 11952.4 5321.56i 0.687657 0.306164i
\(672\) 6760.04 8069.54i 0.388057 0.463228i
\(673\) −956.297 4499.02i −0.0547735 0.257689i 0.942238 0.334945i \(-0.108718\pi\)
−0.997011 + 0.0772556i \(0.975384\pi\)
\(674\) −27352.5 −1.56317
\(675\) −1983.87 + 17424.4i −0.113125 + 0.993581i
\(676\) −15884.2 −0.903744
\(677\) −3513.31 16528.8i −0.199450 0.938338i −0.958010 0.286735i \(-0.907430\pi\)
0.758560 0.651603i \(-0.225903\pi\)
\(678\) −13520.1 + 16139.1i −0.765837 + 0.914188i
\(679\) 4504.48 2005.52i 0.254589 0.113350i
\(680\) −1921.71 + 1538.63i −0.108374 + 0.0867703i
\(681\) −25760.4 13670.4i −1.44955 0.769235i
\(682\) −23815.2 + 13749.7i −1.33714 + 0.772001i
\(683\) 18135.6 + 24961.5i 1.01602 + 1.39842i 0.914960 + 0.403544i \(0.132222\pi\)
0.101055 + 0.994881i \(0.467778\pi\)
\(684\) −4725.07 1711.14i −0.264134 0.0956536i
\(685\) 7603.69 + 29019.1i 0.424120 + 1.61863i
\(686\) −19317.5 + 4106.07i −1.07514 + 0.228528i
\(687\) −1866.63 + 6529.62i −0.103663 + 0.362621i
\(688\) −549.437 + 2584.90i −0.0304463 + 0.143239i
\(689\) −1002.17 1113.03i −0.0554133 0.0615427i
\(690\) −43066.0 15056.9i −2.37608 0.830736i
\(691\) −4829.71 + 5363.94i −0.265891 + 0.295302i −0.861275 0.508140i \(-0.830333\pi\)
0.595384 + 0.803442i \(0.297000\pi\)
\(692\) 9512.29 + 13092.5i 0.522548 + 0.719225i
\(693\) −4390.94 3419.16i −0.240690 0.187422i
\(694\) 27206.7 19766.8i 1.48811 1.08118i
\(695\) 3537.78 + 23166.0i 0.193087 + 1.26437i
\(696\) 215.469 1227.79i 0.0117347 0.0668666i
\(697\) 1022.55 + 2296.69i 0.0555695 + 0.124811i
\(698\) 22524.8 20281.4i 1.22146 1.09980i
\(699\) −10348.8 715.255i −0.559984 0.0387031i
\(700\) 7300.09 + 1636.37i 0.394168 + 0.0883556i
\(701\) −22746.9 −1.22559 −0.612794 0.790242i \(-0.709955\pi\)
−0.612794 + 0.790242i \(0.709955\pi\)
\(702\) −3018.88 1733.21i −0.162308 0.0931847i
\(703\) −2519.21 + 3467.39i −0.135155 + 0.186024i
\(704\) −1133.71 + 10786.6i −0.0606937 + 0.577462i
\(705\) −17477.9 + 3311.69i −0.933698 + 0.176915i
\(706\) 3160.77 + 30072.7i 0.168494 + 1.60312i
\(707\) −3974.21 2294.51i −0.211408 0.122057i
\(708\) 6419.56 12097.0i 0.340765 0.642138i
\(709\) 15451.7 17160.9i 0.818479 0.909013i −0.178713 0.983901i \(-0.557193\pi\)
0.997192 + 0.0748884i \(0.0238601\pi\)
\(710\) −20517.2 + 13163.1i −1.08450 + 0.695778i
\(711\) 9118.24 652.425i 0.480958 0.0344133i
\(712\) 2491.05 809.390i 0.131118 0.0426028i
\(713\) 41185.6 + 37083.7i 2.16327 + 1.94782i
\(714\) −9014.15 11518.4i −0.472473 0.603732i
\(715\) 985.898 1499.90i 0.0515671 0.0784521i
\(716\) 15085.8 + 3206.58i 0.787404 + 0.167368i
\(717\) 18007.9 643.425i 0.937960 0.0335135i
\(718\) −39254.0 + 22663.3i −2.04031 + 1.17798i
\(719\) 26445.3 19213.7i 1.37169 0.996590i 0.374085 0.927394i \(-0.377957\pi\)
0.997603 0.0691958i \(-0.0220433\pi\)
\(720\) −8688.38 18824.6i −0.449718 0.974376i
\(721\) −10562.4 7674.06i −0.545584 0.396390i
\(722\) 24248.0 + 2548.57i 1.24989 + 0.131368i
\(723\) −4386.11 31026.8i −0.225617 1.59599i
\(724\) −548.666 + 950.317i −0.0281644 + 0.0487821i
\(725\) 11485.4 3591.73i 0.588354 0.183991i
\(726\) −13975.0 965.875i −0.714409 0.0493760i
\(727\) 6438.00 + 30288.4i 0.328435 + 1.54516i 0.764125 + 0.645068i \(0.223171\pi\)
−0.435690 + 0.900097i \(0.643496\pi\)
\(728\) 75.3516 103.713i 0.00383615 0.00528001i
\(729\) 9924.06 + 16998.0i 0.504195 + 0.863590i
\(730\) 21548.8 26311.3i 1.09254 1.33401i
\(731\) 3105.92 + 1382.84i 0.157150 + 0.0699676i
\(732\) −1361.10 + 19693.4i −0.0687265 + 0.994386i
\(733\) −20973.0 + 2204.35i −1.05683 + 0.111077i −0.616968 0.786989i \(-0.711639\pi\)
−0.439861 + 0.898066i \(0.644972\pi\)
\(734\) −27096.9 5759.63i −1.36262 0.289635i
\(735\) −3693.40 + 15659.7i −0.185351 + 0.785874i
\(736\) 48850.9 10383.6i 2.44656 0.520033i
\(737\) −20579.4 + 6686.65i −1.02856 + 0.334201i
\(738\) −2964.54 + 527.671i −0.147867 + 0.0263196i
\(739\) 7353.35 22631.3i 0.366031 1.12653i −0.583301 0.812256i \(-0.698239\pi\)
0.949333 0.314273i \(-0.101761\pi\)
\(740\) 13802.2 2107.79i 0.685648 0.104708i
\(741\) −799.294 228.495i −0.0396259 0.0113279i
\(742\) 7495.98 787.859i 0.370871 0.0389801i
\(743\) 17693.4 + 10215.3i 0.873631 + 0.504391i 0.868553 0.495596i \(-0.165050\pi\)
0.00507785 + 0.999987i \(0.498384\pi\)
\(744\) 127.897 + 3579.52i 0.00630232 + 0.176387i
\(745\) −4367.45 + 2194.95i −0.214780 + 0.107942i
\(746\) 20665.1 + 15014.0i 1.01421 + 0.736868i
\(747\) 7318.07 + 1812.04i 0.358440 + 0.0887537i
\(748\) 15695.6 + 5099.81i 0.767230 + 0.249288i
\(749\) −2701.25 4678.69i −0.131778 0.228245i
\(750\) 17487.4 22459.2i 0.851398 1.09346i
\(751\) −7383.30 + 12788.2i −0.358749 + 0.621371i −0.987752 0.156031i \(-0.950130\pi\)
0.629003 + 0.777403i \(0.283463\pi\)
\(752\) 15628.9 14072.3i 0.757880 0.682398i
\(753\) −21025.2 + 25098.0i −1.01753 + 1.21464i
\(754\) −249.686 + 2375.61i −0.0120597 + 0.114741i
\(755\) −1522.75 + 26272.0i −0.0734022 + 1.26641i
\(756\) 7662.47 3433.84i 0.368626 0.165195i
\(757\) 5020.05i 0.241026i 0.992712 + 0.120513i \(0.0384540\pi\)
−0.992712 + 0.120513i \(0.961546\pi\)
\(758\) 4810.73 10805.1i 0.230519 0.517755i
\(759\) −6408.06 25613.1i −0.306453 1.22490i
\(760\) −440.096 549.668i −0.0210052 0.0262349i
\(761\) −12322.0 13685.0i −0.586955 0.651880i 0.374375 0.927277i \(-0.377857\pi\)
−0.961330 + 0.275398i \(0.911190\pi\)
\(762\) 38882.9 + 40199.3i 1.84853 + 1.91111i
\(763\) 1711.13 + 1540.71i 0.0811888 + 0.0731028i
\(764\) 3462.41 10656.2i 0.163960 0.504618i
\(765\) −26013.2 + 5898.32i −1.22942 + 0.278764i
\(766\) 6088.71 + 18739.1i 0.287198 + 0.883906i
\(767\) 921.440 2069.59i 0.0433784 0.0974296i
\(768\) 20117.6 + 13545.9i 0.945225 + 0.636451i
\(769\) −2961.08 28172.8i −0.138854 1.32111i −0.812892 0.582415i \(-0.802108\pi\)
0.674037 0.738697i \(-0.264559\pi\)
\(770\) 3190.35 + 8450.69i 0.149315 + 0.395509i
\(771\) 35047.8 12788.4i