Properties

Label 197.4.g.a.16.15
Level $197$
Weight $4$
Character 197.16
Analytic conductor $11.623$
Analytic rank $0$
Dimension $2058$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,4,Mod(16,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(98))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.16");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 197 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 197.g (of order \(49\), degree \(42\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(11.6233762711\)
Analytic rank: \(0\)
Dimension: \(2058\)
Relative dimension: \(49\) over \(\Q(\zeta_{49})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{49}]$

Embedding invariants

Embedding label 16.15
Character \(\chi\) \(=\) 197.16
Dual form 197.4.g.a.37.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.49414 - 0.160129i) q^{2} +(3.29572 - 4.72466i) q^{3} +(-1.73924 - 0.224250i) q^{4} +(-1.21612 + 0.791603i) q^{5} +(-8.97654 + 11.2562i) q^{6} +(-20.1994 + 1.29684i) q^{7} +(23.9275 + 4.65987i) q^{8} +(-2.13581 - 5.80370i) q^{9} +O(q^{10})\) \(q+(-2.49414 - 0.160129i) q^{2} +(3.29572 - 4.72466i) q^{3} +(-1.73924 - 0.224250i) q^{4} +(-1.21612 + 0.791603i) q^{5} +(-8.97654 + 11.2562i) q^{6} +(-20.1994 + 1.29684i) q^{7} +(23.9275 + 4.65987i) q^{8} +(-2.13581 - 5.80370i) q^{9} +(3.15992 - 1.77963i) q^{10} +(-2.62992 + 8.86106i) q^{11} +(-6.79155 + 7.47825i) q^{12} +(-1.38383 + 43.1530i) q^{13} +50.5877 q^{14} +(-0.267917 + 8.35464i) q^{15} +(-45.3620 - 11.8953i) q^{16} +(13.1947 + 12.7783i) q^{17} +(4.39767 + 14.8172i) q^{18} +(92.8328 + 44.7059i) q^{19} +(2.29263 - 1.10407i) q^{20} +(-60.4444 + 99.7093i) q^{21} +(7.97829 - 21.6796i) q^{22} +(-29.7119 - 183.778i) q^{23} +(100.875 - 97.6916i) q^{24} +(-49.7456 + 112.376i) q^{25} +(10.3615 - 107.408i) q^{26} +(115.989 + 30.4159i) q^{27} +(35.4223 + 2.27419i) q^{28} +(-1.31638 + 1.44948i) q^{29} +(2.00604 - 20.7947i) q^{30} +(38.1269 - 15.4359i) q^{31} +(-73.8468 - 24.5188i) q^{32} +(33.1981 + 41.6290i) q^{33} +(-30.8631 - 33.9837i) q^{34} +(23.5382 - 17.5670i) q^{35} +(2.41321 + 10.5730i) q^{36} +(365.767 - 95.9155i) q^{37} +(-224.379 - 126.368i) q^{38} +(199.323 + 148.758i) q^{39} +(-32.7873 + 13.2741i) q^{40} +(232.111 + 224.787i) q^{41} +(166.723 - 239.010i) q^{42} +(-65.0403 + 219.142i) q^{43} +(6.56114 - 14.8217i) q^{44} +(7.19162 + 5.36725i) q^{45} +(44.6773 + 463.127i) q^{46} +(241.684 + 463.263i) q^{47} +(-205.702 + 175.116i) q^{48} +(66.1495 - 8.52903i) q^{49} +(142.067 - 272.316i) q^{50} +(103.859 - 20.2266i) q^{51} +(12.0839 - 74.7430i) q^{52} +(58.9841 + 611.432i) q^{53} +(-284.422 - 94.4348i) q^{54} +(-3.81616 - 12.8579i) q^{55} +(-489.363 - 63.0964i) q^{56} +(517.171 - 291.266i) q^{57} +(3.51533 - 3.40441i) q^{58} +(406.988 + 229.211i) q^{59} +(2.33950 - 14.4706i) q^{60} +(-399.617 - 572.881i) q^{61} +(-97.5655 + 32.3940i) q^{62} +(50.6686 + 114.461i) q^{63} +(528.005 + 213.766i) q^{64} +(-32.4772 - 53.5745i) q^{65} +(-76.1345 - 109.145i) q^{66} +(-241.863 - 463.607i) q^{67} +(-20.0831 - 25.1834i) q^{68} +(-966.213 - 465.304i) q^{69} +(-61.5205 + 40.0454i) q^{70} +(36.3880 + 98.8779i) q^{71} +(-24.0601 - 148.820i) q^{72} +(-845.961 + 221.837i) q^{73} +(-927.633 + 180.657i) q^{74} +(366.992 + 605.392i) q^{75} +(-151.433 - 98.5720i) q^{76} +(41.6313 - 182.399i) q^{77} +(-473.318 - 402.941i) q^{78} +(256.860 + 167.197i) q^{79} +(64.5817 - 21.4426i) q^{80} +(653.115 - 556.005i) q^{81} +(-542.921 - 597.816i) q^{82} +(-744.089 + 358.335i) q^{83} +(127.487 - 159.864i) q^{84} +(-26.1616 - 5.09497i) q^{85} +(197.311 - 536.157i) q^{86} +(2.50988 + 10.9965i) q^{87} +(-104.219 + 199.768i) q^{88} +(908.339 + 367.746i) q^{89} +(-17.0774 - 14.5382i) q^{90} +(-28.0101 - 873.459i) q^{91} +(10.4637 + 326.297i) q^{92} +(52.7264 - 231.009i) q^{93} +(-528.612 - 1194.14i) q^{94} +(-148.285 + 19.1192i) q^{95} +(-359.222 + 268.094i) q^{96} +(91.0775 - 150.242i) q^{97} +(-166.352 + 10.6801i) q^{98} +(57.0439 - 3.66234i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9} + 168 q^{10} - 140 q^{11} + 14 q^{12} - 42 q^{13} - 812 q^{14} + 1638 q^{15} + 672 q^{16} - 42 q^{17} + 147 q^{18} - 567 q^{19} - 35 q^{20} - 42 q^{21} + 1302 q^{22} - 42 q^{23} - 434 q^{24} - 42 q^{25} + 364 q^{26} - 1596 q^{27} - 147 q^{28} + 4676 q^{29} - 847 q^{30} + 882 q^{31} + 910 q^{32} - 287 q^{33} - 882 q^{34} - 42 q^{35} - 17787 q^{36} - 1400 q^{37} + 14 q^{38} + 168 q^{39} + 3962 q^{40} - 392 q^{41} + 1764 q^{42} + 294 q^{43} - 12978 q^{44} + 2814 q^{45} + 840 q^{46} + 28 q^{47} + 3654 q^{48} + 1554 q^{49} - 4998 q^{50} - 98 q^{51} - 3703 q^{52} - 42 q^{53} - 1365 q^{54} + 4046 q^{55} - 3073 q^{56} + 14567 q^{57} - 10402 q^{58} + 4004 q^{59} - 4536 q^{60} - 1050 q^{61} + 210 q^{62} + 2254 q^{63} + 3822 q^{64} - 1106 q^{65} - 875 q^{66} - 3612 q^{67} + 819 q^{68} + 4333 q^{69} - 5292 q^{70} + 11424 q^{71} - 1876 q^{72} - 714 q^{73} + 1288 q^{74} - 1316 q^{75} + 8715 q^{76} + 6629 q^{77} + 13986 q^{78} - 1512 q^{79} + 406 q^{80} + 1078 q^{81} - 42 q^{82} - 5999 q^{83} - 7595 q^{84} + 30492 q^{85} + 7749 q^{86} - 35 q^{87} + 8897 q^{88} - 196 q^{89} - 14910 q^{90} - 8232 q^{91} - 7938 q^{92} - 2639 q^{93} - 11116 q^{94} + 3703 q^{95} + 14497 q^{96} - 2674 q^{97} - 10024 q^{98} + 6237 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{49}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.49414 0.160129i −0.881811 0.0566141i −0.383428 0.923571i \(-0.625256\pi\)
−0.498383 + 0.866957i \(0.666073\pi\)
\(3\) 3.29572 4.72466i 0.634262 0.909262i −0.365506 0.930809i \(-0.619104\pi\)
0.999768 + 0.0215470i \(0.00685916\pi\)
\(4\) −1.73924 0.224250i −0.217405 0.0280312i
\(5\) −1.21612 + 0.791603i −0.108773 + 0.0708031i −0.598771 0.800920i \(-0.704344\pi\)
0.489999 + 0.871723i \(0.336997\pi\)
\(6\) −8.97654 + 11.2562i −0.610776 + 0.765889i
\(7\) −20.1994 + 1.29684i −1.09066 + 0.0700230i −0.598990 0.800756i \(-0.704431\pi\)
−0.491674 + 0.870779i \(0.663615\pi\)
\(8\) 23.9275 + 4.65987i 1.05745 + 0.205939i
\(9\) −2.13581 5.80370i −0.0791042 0.214952i
\(10\) 3.15992 1.77963i 0.0999254 0.0562769i
\(11\) −2.62992 + 8.86106i −0.0720863 + 0.242883i −0.986988 0.160794i \(-0.948595\pi\)
0.914902 + 0.403677i \(0.132268\pi\)
\(12\) −6.79155 + 7.47825i −0.163379 + 0.179899i
\(13\) −1.38383 + 43.1530i −0.0295236 + 0.920653i 0.872409 + 0.488776i \(0.162557\pi\)
−0.901933 + 0.431877i \(0.857852\pi\)
\(14\) 50.5877 0.965724
\(15\) −0.267917 + 8.35464i −0.00461172 + 0.143811i
\(16\) −45.3620 11.8953i −0.708781 0.185864i
\(17\) 13.1947 + 12.7783i 0.188246 + 0.182306i 0.783808 0.621004i \(-0.213275\pi\)
−0.595562 + 0.803309i \(0.703071\pi\)
\(18\) 4.39767 + 14.8172i 0.0575857 + 0.194025i
\(19\) 92.8328 + 44.7059i 1.12091 + 0.539802i 0.900174 0.435531i \(-0.143439\pi\)
0.220737 + 0.975333i \(0.429154\pi\)
\(20\) 2.29263 1.10407i 0.0256324 0.0123439i
\(21\) −60.4444 + 99.7093i −0.628097 + 1.03611i
\(22\) 7.97829 21.6796i 0.0773171 0.210096i
\(23\) −29.7119 183.778i −0.269363 1.66611i −0.664351 0.747421i \(-0.731292\pi\)
0.394988 0.918686i \(-0.370749\pi\)
\(24\) 100.875 97.6916i 0.857956 0.830884i
\(25\) −49.7456 + 112.376i −0.397965 + 0.899010i
\(26\) 10.3615 107.408i 0.0781562 0.810170i
\(27\) 115.989 + 30.4159i 0.826745 + 0.216798i
\(28\) 35.4223 + 2.27419i 0.239078 + 0.0153493i
\(29\) −1.31638 + 1.44948i −0.00842915 + 0.00928143i −0.744478 0.667647i \(-0.767302\pi\)
0.736049 + 0.676928i \(0.236689\pi\)
\(30\) 2.00604 20.7947i 0.0122084 0.126553i
\(31\) 38.1269 15.4359i 0.220897 0.0894312i −0.262145 0.965028i \(-0.584430\pi\)
0.483042 + 0.875597i \(0.339532\pi\)
\(32\) −73.8468 24.5188i −0.407950 0.135449i
\(33\) 33.1981 + 41.6290i 0.175122 + 0.219597i
\(34\) −30.8631 33.9837i −0.155676 0.171417i
\(35\) 23.5382 17.5670i 0.113677 0.0848391i
\(36\) 2.41321 + 10.5730i 0.0111723 + 0.0489489i
\(37\) 365.767 95.9155i 1.62518 0.426173i 0.674988 0.737829i \(-0.264149\pi\)
0.950195 + 0.311655i \(0.100883\pi\)
\(38\) −224.379 126.368i −0.957871 0.539463i
\(39\) 199.323 + 148.758i 0.818389 + 0.610780i
\(40\) −32.7873 + 13.2741i −0.129603 + 0.0524705i
\(41\) 232.111 + 224.787i 0.884136 + 0.856238i 0.990419 0.138098i \(-0.0440989\pi\)
−0.106283 + 0.994336i \(0.533895\pi\)
\(42\) 166.723 239.010i 0.612522 0.878096i
\(43\) −65.0403 + 219.142i −0.230664 + 0.777184i 0.761047 + 0.648697i \(0.224686\pi\)
−0.991711 + 0.128487i \(0.958988\pi\)
\(44\) 6.56114 14.8217i 0.0224802 0.0507832i
\(45\) 7.19162 + 5.36725i 0.0238236 + 0.0177800i
\(46\) 44.6773 + 463.127i 0.143202 + 1.48444i
\(47\) 241.684 + 463.263i 0.750069 + 1.43774i 0.893959 + 0.448149i \(0.147917\pi\)
−0.143890 + 0.989594i \(0.545961\pi\)
\(48\) −205.702 + 175.116i −0.618552 + 0.526581i
\(49\) 66.1495 8.52903i 0.192856 0.0248660i
\(50\) 142.067 272.316i 0.401826 0.770226i
\(51\) 103.859 20.2266i 0.285161 0.0555350i
\(52\) 12.0839 74.7430i 0.0322256 0.199327i
\(53\) 58.9841 + 611.432i 0.152870 + 1.58465i 0.678928 + 0.734205i \(0.262445\pi\)
−0.526058 + 0.850449i \(0.676331\pi\)
\(54\) −284.422 94.4348i −0.716759 0.237980i
\(55\) −3.81616 12.8579i −0.00935584 0.0315229i
\(56\) −489.363 63.0964i −1.16775 0.150564i
\(57\) 517.171 291.266i 1.20177 0.676826i
\(58\) 3.51533 3.40441i 0.00795837 0.00770725i
\(59\) 406.988 + 229.211i 0.898056 + 0.505776i 0.869565 0.493818i \(-0.164399\pi\)
0.0284910 + 0.999594i \(0.490930\pi\)
\(60\) 2.33950 14.4706i 0.00503380 0.0311358i
\(61\) −399.617 572.881i −0.838782 1.20246i −0.977250 0.212090i \(-0.931973\pi\)
0.138468 0.990367i \(-0.455782\pi\)
\(62\) −97.5655 + 32.3940i −0.199852 + 0.0663555i
\(63\) 50.6686 + 114.461i 0.101328 + 0.228901i
\(64\) 528.005 + 213.766i 1.03126 + 0.417511i
\(65\) −32.4772 53.5745i −0.0619738 0.102232i
\(66\) −76.1345 109.145i −0.141993 0.203557i
\(67\) −241.863 463.607i −0.441020 0.845352i −0.999871 0.0160842i \(-0.994880\pi\)
0.558851 0.829268i \(-0.311242\pi\)
\(68\) −20.0831 25.1834i −0.0358152 0.0449109i
\(69\) −966.213 465.304i −1.68577 0.811826i
\(70\) −61.5205 + 40.0454i −0.105044 + 0.0683763i
\(71\) 36.3880 + 98.8779i 0.0608234 + 0.165277i 0.965235 0.261385i \(-0.0841792\pi\)
−0.904411 + 0.426662i \(0.859689\pi\)
\(72\) −24.0601 148.820i −0.0393821 0.243592i
\(73\) −845.961 + 221.837i −1.35633 + 0.355672i −0.859039 0.511910i \(-0.828938\pi\)
−0.497293 + 0.867583i \(0.665673\pi\)
\(74\) −927.633 + 180.657i −1.45723 + 0.283796i
\(75\) 366.992 + 605.392i 0.565021 + 0.932062i
\(76\) −151.433 98.5720i −0.228560 0.148776i
\(77\) 41.6313 182.399i 0.0616146 0.269951i
\(78\) −473.318 402.941i −0.687086 0.584925i
\(79\) 256.860 + 167.197i 0.365810 + 0.238116i 0.715290 0.698828i \(-0.246295\pi\)
−0.349480 + 0.936944i \(0.613642\pi\)
\(80\) 64.5817 21.4426i 0.0902557 0.0299670i
\(81\) 653.115 556.005i 0.895905 0.762695i
\(82\) −542.921 597.816i −0.731166 0.805095i
\(83\) −744.089 + 358.335i −0.984029 + 0.473884i −0.855489 0.517821i \(-0.826743\pi\)
−0.128540 + 0.991704i \(0.541029\pi\)
\(84\) 127.487 159.864i 0.165595 0.207649i
\(85\) −26.1616 5.09497i −0.0333838 0.00650149i
\(86\) 197.311 536.157i 0.247402 0.672270i
\(87\) 2.50988 + 10.9965i 0.00309296 + 0.0135512i
\(88\) −104.219 + 199.768i −0.126247 + 0.241992i
\(89\) 908.339 + 367.746i 1.08184 + 0.437988i 0.845660 0.533721i \(-0.179207\pi\)
0.236179 + 0.971710i \(0.424105\pi\)
\(90\) −17.0774 14.5382i −0.0200013 0.0170274i
\(91\) −28.0101 873.459i −0.0322666 1.00619i
\(92\) 10.4637 + 326.297i 0.0118578 + 0.369770i
\(93\) 52.7264 231.009i 0.0587900 0.257576i
\(94\) −528.612 1194.14i −0.580023 1.31028i
\(95\) −148.285 + 19.1192i −0.160144 + 0.0206483i
\(96\) −359.222 + 268.094i −0.381905 + 0.285023i
\(97\) 91.0775 150.242i 0.0953353 0.157266i −0.803852 0.594829i \(-0.797220\pi\)
0.899187 + 0.437564i \(0.144159\pi\)
\(98\) −166.352 + 10.6801i −0.171470 + 0.0110087i
\(99\) 57.0439 3.66234i 0.0579104 0.00371797i
\(100\) 111.720 184.293i 0.111720 0.184293i
\(101\) −1568.57 + 1170.65i −1.54533 + 1.15331i −0.613906 + 0.789379i \(0.710403\pi\)
−0.931426 + 0.363932i \(0.881434\pi\)
\(102\) −262.278 + 33.8170i −0.254602 + 0.0328273i
\(103\) −189.351 427.747i −0.181139 0.409196i 0.800660 0.599119i \(-0.204482\pi\)
−0.981799 + 0.189923i \(0.939176\pi\)
\(104\) −234.199 + 1026.09i −0.220818 + 0.967469i
\(105\) −5.42290 169.106i −0.00504020 0.157172i
\(106\) −49.2065 1534.44i −0.0450883 1.40602i
\(107\) −1408.37 1198.97i −1.27245 1.08326i −0.992372 0.123281i \(-0.960658\pi\)
−0.280083 0.959976i \(-0.590362\pi\)
\(108\) −194.912 78.9111i −0.173661 0.0703076i
\(109\) −501.014 + 960.350i −0.440261 + 0.843897i 0.559624 + 0.828746i \(0.310945\pi\)
−0.999885 + 0.0151511i \(0.995177\pi\)
\(110\) 7.45911 + 32.6805i 0.00646544 + 0.0283269i
\(111\) 752.299 2044.24i 0.643289 1.74802i
\(112\) 931.710 + 181.451i 0.786057 + 0.153084i
\(113\) −411.714 + 516.272i −0.342750 + 0.429795i −0.923093 0.384577i \(-0.874347\pi\)
0.580343 + 0.814372i \(0.302919\pi\)
\(114\) −1336.54 + 643.642i −1.09805 + 0.528795i
\(115\) 181.613 + 199.976i 0.147265 + 0.162155i
\(116\) 2.61454 2.22579i 0.00209271 0.00178155i
\(117\) 253.403 84.1354i 0.200231 0.0664814i
\(118\) −978.381 636.855i −0.763282 0.496841i
\(119\) −283.096 241.003i −0.218078 0.185653i
\(120\) −45.3421 + 198.657i −0.0344929 + 0.151123i
\(121\) 1043.89 + 679.499i 0.784293 + 0.510518i
\(122\) 904.965 + 1492.83i 0.671571 + 1.10783i
\(123\) 1827.01 355.811i 1.33932 0.260832i
\(124\) −69.7733 + 18.2967i −0.0505308 + 0.0132507i
\(125\) −57.4096 355.099i −0.0410790 0.254088i
\(126\) −108.046 293.596i −0.0763928 0.207584i
\(127\) 1542.10 1003.80i 1.07747 0.701358i 0.120847 0.992671i \(-0.461439\pi\)
0.956628 + 0.291313i \(0.0940922\pi\)
\(128\) −721.847 347.623i −0.498460 0.240045i
\(129\) 821.020 + 1029.53i 0.560362 + 0.702672i
\(130\) 72.4237 + 138.823i 0.0488614 + 0.0936581i
\(131\) 1410.09 + 2021.47i 0.940459 + 1.34822i 0.937412 + 0.348223i \(0.113215\pi\)
0.00304752 + 0.999995i \(0.499030\pi\)
\(132\) −48.4040 79.8475i −0.0319169 0.0526502i
\(133\) −1933.14 782.643i −1.26034 0.510254i
\(134\) 529.004 + 1195.03i 0.341037 + 0.770409i
\(135\) −165.134 + 54.8281i −0.105277 + 0.0349545i
\(136\) 256.169 + 367.238i 0.161517 + 0.231547i
\(137\) −153.069 + 946.787i −0.0954568 + 0.590434i 0.894277 + 0.447513i \(0.147690\pi\)
−0.989734 + 0.142921i \(0.954351\pi\)
\(138\) 2335.36 + 1315.25i 1.44057 + 0.811316i
\(139\) −1346.35 + 1303.87i −0.821555 + 0.795632i −0.981494 0.191495i \(-0.938666\pi\)
0.159938 + 0.987127i \(0.448870\pi\)
\(140\) −44.8779 + 25.2748i −0.0270920 + 0.0152579i
\(141\) 2985.29 + 384.910i 1.78302 + 0.229896i
\(142\) −74.9235 252.442i −0.0442777 0.149186i
\(143\) −378.742 125.751i −0.221482 0.0735373i
\(144\) 27.8480 + 288.673i 0.0161157 + 0.167056i
\(145\) 0.453455 2.80478i 0.000259706 0.00160638i
\(146\) 2145.47 417.829i 1.21616 0.236848i
\(147\) 177.713 340.643i 0.0997112 0.191128i
\(148\) −657.665 + 84.7966i −0.365269 + 0.0470962i
\(149\) −123.850 + 105.435i −0.0680952 + 0.0579703i −0.681628 0.731699i \(-0.738728\pi\)
0.613532 + 0.789669i \(0.289748\pi\)
\(150\) −818.388 1568.70i −0.445474 0.853891i
\(151\) −113.280 1174.26i −0.0610501 0.632848i −0.974270 0.225382i \(-0.927637\pi\)
0.913220 0.407466i \(-0.133588\pi\)
\(152\) 2012.93 + 1502.29i 1.07415 + 0.801656i
\(153\) 45.9801 103.870i 0.0242959 0.0548849i
\(154\) −133.041 + 448.261i −0.0696155 + 0.234558i
\(155\) −34.1476 + 48.9532i −0.0176955 + 0.0253678i
\(156\) −313.310 303.424i −0.160801 0.155727i
\(157\) 1125.56 455.687i 0.572160 0.231642i −0.0708665 0.997486i \(-0.522576\pi\)
0.643027 + 0.765844i \(0.277678\pi\)
\(158\) −613.870 458.143i −0.309094 0.230683i
\(159\) 3083.21 + 1736.43i 1.53782 + 0.866087i
\(160\) 109.215 28.6397i 0.0539640 0.0141510i
\(161\) 838.494 + 3673.68i 0.410451 + 1.79830i
\(162\) −1717.99 + 1282.17i −0.833198 + 0.621832i
\(163\) 1208.91 + 1331.14i 0.580914 + 0.639651i 0.958082 0.286494i \(-0.0924898\pi\)
−0.377168 + 0.926145i \(0.623102\pi\)
\(164\) −353.287 443.008i −0.168214 0.210934i
\(165\) −73.3263 24.3460i −0.0345967 0.0114869i
\(166\) 1913.24 774.586i 0.894556 0.362166i
\(167\) −35.5632 + 368.650i −0.0164788 + 0.170820i −0.999947 0.0102587i \(-0.996735\pi\)
0.983469 + 0.181079i \(0.0579590\pi\)
\(168\) −1910.91 + 2104.13i −0.877561 + 0.966292i
\(169\) 332.219 + 21.3292i 0.151215 + 0.00970832i
\(170\) 64.4347 + 16.8968i 0.0290701 + 0.00762308i
\(171\) 61.1860 634.257i 0.0273626 0.283642i
\(172\) 162.263 366.555i 0.0719329 0.162498i
\(173\) 79.8351 77.3160i 0.0350853 0.0339782i −0.677932 0.735124i \(-0.737124\pi\)
0.713018 + 0.701146i \(0.247328\pi\)
\(174\) −4.49913 27.8287i −0.00196022 0.0121247i
\(175\) 859.097 2334.44i 0.371095 1.00838i
\(176\) 224.703 370.671i 0.0962366 0.158752i
\(177\) 2424.26 1167.46i 1.02949 0.495774i
\(178\) −2206.64 1062.66i −0.929182 0.447470i
\(179\) −510.336 1719.49i −0.213097 0.717993i −0.995461 0.0951721i \(-0.969660\pi\)
0.782364 0.622821i \(-0.214014\pi\)
\(180\) −11.3043 10.9476i −0.00468097 0.00453327i
\(181\) −115.591 30.3115i −0.0474685 0.0124477i 0.229844 0.973227i \(-0.426178\pi\)
−0.277312 + 0.960780i \(0.589444\pi\)
\(182\) −70.0049 + 2183.01i −0.0285116 + 0.889097i
\(183\) −4023.69 −1.62536
\(184\) 145.454 4535.81i 0.0582774 1.81730i
\(185\) −368.888 + 406.187i −0.146601 + 0.161424i
\(186\) −168.498 + 567.726i −0.0664241 + 0.223805i
\(187\) −147.930 + 83.3128i −0.0578488 + 0.0325799i
\(188\) −316.459 859.922i −0.122767 0.333597i
\(189\) −2382.35 463.963i −0.916882 0.178563i
\(190\) 372.904 23.9412i 0.142386 0.00914147i
\(191\) −304.178 + 381.427i −0.115233 + 0.144498i −0.836103 0.548573i \(-0.815171\pi\)
0.720869 + 0.693071i \(0.243743\pi\)
\(192\) 2750.13 1790.14i 1.03372 0.672874i
\(193\) −1358.05 175.101i −0.506500 0.0653059i −0.129612 0.991565i \(-0.541373\pi\)
−0.376888 + 0.926259i \(0.623006\pi\)
\(194\) −251.218 + 360.140i −0.0929712 + 0.133281i
\(195\) −360.157 23.1228i −0.132263 0.00849160i
\(196\) −116.962 −0.0426247
\(197\) 169.378 2759.83i 0.0612572 0.998122i
\(198\) −142.862 −0.0512765
\(199\) 2506.49 + 160.922i 0.892867 + 0.0573240i 0.503735 0.863858i \(-0.331959\pi\)
0.389132 + 0.921182i \(0.372775\pi\)
\(200\) −1713.95 + 2457.07i −0.605971 + 0.868705i
\(201\) −2987.50 385.196i −1.04837 0.135172i
\(202\) 4099.68 2668.60i 1.42798 0.929515i
\(203\) 24.7103 30.9857i 0.00854346 0.0107132i
\(204\) −185.172 + 11.8884i −0.0635520 + 0.00408017i
\(205\) −460.215 89.6268i −0.156794 0.0305357i
\(206\) 403.772 + 1097.18i 0.136564 + 0.371088i
\(207\) −1003.14 + 564.955i −0.336825 + 0.189696i
\(208\) 576.092 1941.04i 0.192042 0.647054i
\(209\) −640.284 + 705.024i −0.211911 + 0.233338i
\(210\) −13.5533 + 422.642i −0.00445365 + 0.138881i
\(211\) 468.926 0.152996 0.0764981 0.997070i \(-0.475626\pi\)
0.0764981 + 0.997070i \(0.475626\pi\)
\(212\) 34.5261 1076.65i 0.0111852 0.348796i
\(213\) 587.090 + 153.953i 0.188858 + 0.0495244i
\(214\) 3320.69 + 3215.91i 1.06074 + 1.02727i
\(215\) −94.3773 317.989i −0.0299371 0.100868i
\(216\) 2633.59 + 1268.27i 0.829598 + 0.399513i
\(217\) −750.123 + 361.240i −0.234662 + 0.113007i
\(218\) 1403.38 2315.02i 0.436003 0.719233i
\(219\) −1739.95 + 4727.99i −0.536870 + 1.45885i
\(220\) 3.75383 + 23.2187i 0.00115038 + 0.00711549i
\(221\) −569.682 + 551.706i −0.173398 + 0.167927i
\(222\) −2203.68 + 4978.15i −0.666222 + 1.50501i
\(223\) 312.086 3235.10i 0.0937168 0.971473i −0.821957 0.569550i \(-0.807118\pi\)
0.915674 0.401923i \(-0.131658\pi\)
\(224\) 1523.46 + 399.498i 0.454421 + 0.119163i
\(225\) 758.445 + 48.6938i 0.224724 + 0.0144278i
\(226\) 1109.54 1221.73i 0.326573 0.359593i
\(227\) −34.9747 + 362.549i −0.0102262 + 0.106005i −0.999080 0.0428840i \(-0.986345\pi\)
0.988854 + 0.148890i \(0.0475699\pi\)
\(228\) −964.800 + 390.604i −0.280243 + 0.113458i
\(229\) −2501.18 830.449i −0.721758 0.239640i −0.0694407 0.997586i \(-0.522121\pi\)
−0.652317 + 0.757946i \(0.726203\pi\)
\(230\) −420.945 527.849i −0.120680 0.151327i
\(231\) −724.567 797.829i −0.206377 0.227244i
\(232\) −38.2520 + 28.5482i −0.0108248 + 0.00807879i
\(233\) −1101.59 4826.38i −0.309732 1.35702i −0.854942 0.518724i \(-0.826407\pi\)
0.545210 0.838300i \(-0.316450\pi\)
\(234\) −645.493 + 169.268i −0.180330 + 0.0472881i
\(235\) −660.636 372.064i −0.183384 0.103280i
\(236\) −656.448 489.920i −0.181064 0.135132i
\(237\) 1636.49 662.540i 0.448529 0.181589i
\(238\) 667.488 + 646.426i 0.181793 + 0.176057i
\(239\) 3009.17 4313.88i 0.814424 1.16754i −0.168892 0.985634i \(-0.554019\pi\)
0.983316 0.181904i \(-0.0582259\pi\)
\(240\) 111.534 375.796i 0.0299979 0.101073i
\(241\) −2239.82 + 5059.78i −0.598669 + 1.35240i 0.316216 + 0.948687i \(0.397588\pi\)
−0.914884 + 0.403716i \(0.867718\pi\)
\(242\) −2494.81 1861.92i −0.662695 0.494582i
\(243\) −163.568 1695.55i −0.0431805 0.447611i
\(244\) 566.560 + 1085.99i 0.148649 + 0.284932i
\(245\) −73.6937 + 62.7364i −0.0192168 + 0.0163595i
\(246\) −4613.80 + 594.883i −1.19579 + 0.154180i
\(247\) −2057.66 + 3944.15i −0.530064 + 1.01603i
\(248\) 984.210 191.675i 0.252006 0.0490781i
\(249\) −759.301 + 4696.54i −0.193248 + 1.19531i
\(250\) 86.3258 + 894.858i 0.0218389 + 0.226383i
\(251\) 2318.90 + 769.929i 0.583139 + 0.193615i 0.591438 0.806350i \(-0.298560\pi\)
−0.00829970 + 0.999966i \(0.502642\pi\)
\(252\) −62.4568 210.438i −0.0156127 0.0526045i
\(253\) 1706.61 + 220.043i 0.424086 + 0.0546798i
\(254\) −4006.95 + 2256.67i −0.989835 + 0.557465i
\(255\) −110.293 + 106.813i −0.0270856 + 0.0262310i
\(256\) −2225.96 1253.63i −0.543446 0.306063i
\(257\) −756.123 + 4676.89i −0.183524 + 1.13516i 0.715939 + 0.698163i \(0.245999\pi\)
−0.899463 + 0.436997i \(0.856042\pi\)
\(258\) −1882.88 2699.25i −0.454352 0.651348i
\(259\) −7263.89 + 2411.78i −1.74269 + 0.578612i
\(260\) 44.4714 + 100.462i 0.0106077 + 0.0239630i
\(261\) 11.2239 + 4.54404i 0.00266184 + 0.00107766i
\(262\) −3193.26 5267.62i −0.752979 1.24212i
\(263\) 2102.76 + 3014.46i 0.493010 + 0.706766i 0.986642 0.162904i \(-0.0520862\pi\)
−0.493632 + 0.869671i \(0.664331\pi\)
\(264\) 600.359 + 1150.78i 0.139960 + 0.268278i
\(265\) −555.743 696.880i −0.128826 0.161543i
\(266\) 4696.20 + 2261.57i 1.08249 + 0.521300i
\(267\) 4731.11 3079.61i 1.08442 0.705876i
\(268\) 316.694 + 860.560i 0.0721835 + 0.196146i
\(269\) 85.8130 + 530.784i 0.0194502 + 0.120306i 0.995072 0.0991501i \(-0.0316124\pi\)
−0.975622 + 0.219457i \(0.929572\pi\)
\(270\) 420.645 110.306i 0.0948136 0.0248630i
\(271\) 4686.85 912.765i 1.05058 0.204600i 0.363806 0.931475i \(-0.381477\pi\)
0.686770 + 0.726875i \(0.259028\pi\)
\(272\) −446.534 736.604i −0.0995407 0.164203i
\(273\) −4219.11 2746.34i −0.935356 0.608850i
\(274\) 533.384 2336.91i 0.117602 0.515247i
\(275\) −864.946 736.339i −0.189666 0.161465i
\(276\) 1576.13 + 1025.95i 0.343739 + 0.223749i
\(277\) 7266.44 2412.62i 1.57617 0.523323i 0.612508 0.790464i \(-0.290161\pi\)
0.963657 + 0.267141i \(0.0860791\pi\)
\(278\) 3566.78 3036.44i 0.769500 0.655085i
\(279\) −171.017 188.309i −0.0366972 0.0404077i
\(280\) 645.069 310.649i 0.137680 0.0663030i
\(281\) −4591.85 + 5757.99i −0.974828 + 1.22240i 0.000128928 1.00000i \(0.499959\pi\)
−0.974957 + 0.222395i \(0.928612\pi\)
\(282\) −7384.08 1438.05i −1.55928 0.303669i
\(283\) −1234.75 + 3355.23i −0.259359 + 0.704762i 0.740120 + 0.672475i \(0.234769\pi\)
−0.999479 + 0.0322866i \(0.989721\pi\)
\(284\) −41.1140 180.132i −0.00859038 0.0376369i
\(285\) −398.373 + 763.607i −0.0827986 + 0.158709i
\(286\) 924.498 + 374.288i 0.191142 + 0.0773850i
\(287\) −4980.00 4239.54i −1.02425 0.871958i
\(288\) 15.4232 + 480.952i 0.00315563 + 0.0984041i
\(289\) −146.656 4573.26i −0.0298505 0.930850i
\(290\) −1.58011 + 6.92290i −0.000319955 + 0.00140182i
\(291\) −409.676 925.466i −0.0825280 0.186432i
\(292\) 1521.07 196.121i 0.304843 0.0393051i
\(293\) 1734.29 1294.33i 0.345796 0.258074i −0.411127 0.911578i \(-0.634865\pi\)
0.756923 + 0.653504i \(0.226702\pi\)
\(294\) −497.788 + 821.154i −0.0987470 + 0.162893i
\(295\) −676.389 + 43.4256i −0.133494 + 0.00857063i
\(296\) 9198.84 590.585i 1.80632 0.115970i
\(297\) −574.559 + 947.795i −0.112254 + 0.185174i
\(298\) 325.782 243.137i 0.0633290 0.0472637i
\(299\) 7971.71 1027.84i 1.54186 0.198801i
\(300\) −502.527 1135.22i −0.0967114 0.218473i
\(301\) 1029.58 4510.89i 0.197156 0.863799i
\(302\) 94.5017 + 2946.91i 0.0180065 + 0.561509i
\(303\) 361.378 + 11269.1i 0.0685170 + 2.13661i
\(304\) −3679.29 3132.22i −0.694150 0.590939i
\(305\) 939.474 + 380.351i 0.176374 + 0.0714060i
\(306\) −131.313 + 251.703i −0.0245316 + 0.0470226i
\(307\) −1425.93 6247.42i −0.265089 1.16143i −0.915650 0.401977i \(-0.868323\pi\)
0.650561 0.759454i \(-0.274534\pi\)
\(308\) −113.310 + 307.899i −0.0209624 + 0.0569615i
\(309\) −2645.01 515.115i −0.486955 0.0948345i
\(310\) 93.0077 116.628i 0.0170403 0.0213678i
\(311\) −877.852 + 422.751i −0.160059 + 0.0770805i −0.512198 0.858867i \(-0.671169\pi\)
0.352139 + 0.935948i \(0.385454\pi\)
\(312\) 4076.09 + 4488.23i 0.739626 + 0.814410i
\(313\) 3618.99 3080.89i 0.653538 0.556365i −0.258734 0.965948i \(-0.583305\pi\)
0.912273 + 0.409583i \(0.134326\pi\)
\(314\) −2880.26 + 956.312i −0.517651 + 0.171872i
\(315\) −152.227 99.0887i −0.0272286 0.0177239i
\(316\) −409.246 348.396i −0.0728540 0.0620215i
\(317\) 106.648 467.257i 0.0188958 0.0827879i −0.964601 0.263714i \(-0.915052\pi\)
0.983497 + 0.180926i \(0.0579096\pi\)
\(318\) −7411.89 4824.60i −1.30704 0.850787i
\(319\) −9.38195 15.4765i −0.00164667 0.00271636i
\(320\) −811.333 + 158.007i −0.141734 + 0.0276027i
\(321\) −10306.3 + 2702.64i −1.79203 + 0.469926i
\(322\) −1503.06 9296.93i −0.260131 1.60900i
\(323\) 653.631 + 1776.13i 0.112598 + 0.305964i
\(324\) −1260.61 + 820.563i −0.216153 + 0.140700i
\(325\) −4780.53 2302.18i −0.815927 0.392930i
\(326\) −2802.03 3513.63i −0.476043 0.596939i
\(327\) 2886.13 + 5532.17i 0.488083 + 0.935564i
\(328\) 4506.34 + 6460.18i 0.758601 + 1.08751i
\(329\) −5482.65 9044.21i −0.918749 1.51557i
\(330\) 178.988 + 72.4640i 0.0298574 + 0.0120879i
\(331\) −2269.62 5127.11i −0.376887 0.851394i −0.997722 0.0674529i \(-0.978513\pi\)
0.620836 0.783941i \(-0.286793\pi\)
\(332\) 1374.50 456.367i 0.227216 0.0754409i
\(333\) −1337.88 1917.94i −0.220166 0.315624i
\(334\) 147.731 913.770i 0.0242021 0.149698i
\(335\) 661.127 + 372.340i 0.107824 + 0.0607256i
\(336\) 3927.95 3804.01i 0.637759 0.617636i
\(337\) 5688.38 3203.64i 0.919483 0.517843i 0.0428924 0.999080i \(-0.486343\pi\)
0.876591 + 0.481236i \(0.159812\pi\)
\(338\) −825.185 106.396i −0.132793 0.0171218i
\(339\) 1082.32 + 3646.70i 0.173403 + 0.584252i
\(340\) 44.3587 + 14.7281i 0.00707555 + 0.00234924i
\(341\) 36.5077 + 378.440i 0.00579766 + 0.0600988i
\(342\) −254.169 + 1572.13i −0.0401868 + 0.248570i
\(343\) 5489.51 1069.08i 0.864156 0.168294i
\(344\) −2577.43 + 4940.44i −0.403969 + 0.774334i
\(345\) 1543.36 198.995i 0.240846 0.0310537i
\(346\) −211.500 + 180.053i −0.0328622 + 0.0279760i
\(347\) 3699.62 + 7091.49i 0.572352 + 1.09709i 0.982707 + 0.185166i \(0.0592823\pi\)
−0.410355 + 0.911926i \(0.634595\pi\)
\(348\) −1.89932 19.6884i −0.000292569 0.00303278i
\(349\) −8940.45 6672.43i −1.37126 1.02340i −0.995307 0.0967635i \(-0.969151\pi\)
−0.375956 0.926637i \(-0.622686\pi\)
\(350\) −2516.52 + 5684.86i −0.384324 + 0.868195i
\(351\) −1473.05 + 4963.19i −0.224004 + 0.754745i
\(352\) 411.474 589.879i 0.0623058 0.0893200i
\(353\) −2984.95 2890.77i −0.450065 0.435864i 0.435634 0.900124i \(-0.356524\pi\)
−0.885699 + 0.464260i \(0.846320\pi\)
\(354\) −6233.40 + 2523.62i −0.935879 + 0.378895i
\(355\) −122.524 91.4421i −0.0183180 0.0136711i
\(356\) −1497.35 843.292i −0.222920 0.125546i
\(357\) −2071.66 + 543.253i −0.307126 + 0.0805379i
\(358\) 997.508 + 4370.37i 0.147262 + 0.645199i
\(359\) −4539.71 + 3388.07i −0.667401 + 0.498094i −0.877494 0.479587i \(-0.840786\pi\)
0.210094 + 0.977681i \(0.432623\pi\)
\(360\) 147.067 + 161.937i 0.0215308 + 0.0237078i
\(361\) 2342.79 + 2937.77i 0.341565 + 0.428309i
\(362\) 283.445 + 94.1104i 0.0411535 + 0.0136639i
\(363\) 6650.79 2692.60i 0.961641 0.389325i
\(364\) −147.157 + 1525.43i −0.0211899 + 0.219655i
\(365\) 853.179 939.445i 0.122349 0.134720i
\(366\) 10035.6 + 644.310i 1.43326 + 0.0920181i
\(367\) −3113.28 816.397i −0.442811 0.116119i 0.0255150 0.999674i \(-0.491877\pi\)
−0.468326 + 0.883556i \(0.655143\pi\)
\(368\) −838.312 + 8689.98i −0.118750 + 1.23097i
\(369\) 808.848 1827.20i 0.114111 0.257779i
\(370\) 985.100 954.017i 0.138413 0.134046i
\(371\) −1984.37 12274.1i −0.277692 1.71762i
\(372\) −143.507 + 389.956i −0.0200014 + 0.0543502i
\(373\) 4804.73 7925.90i 0.666968 1.10023i −0.321222 0.947004i \(-0.604094\pi\)
0.988191 0.153230i \(-0.0489676\pi\)
\(374\) 382.299 184.106i 0.0528562 0.0254542i
\(375\) −1866.93 899.065i −0.257087 0.123807i
\(376\) 3624.14 + 12210.9i 0.497077 + 1.67482i
\(377\) −60.7277 58.8115i −0.00829611 0.00803434i
\(378\) 5867.63 + 1538.67i 0.798408 + 0.209367i
\(379\) 19.4305 605.916i 0.00263346 0.0821209i −0.997326 0.0730850i \(-0.976716\pi\)
0.999959 0.00903592i \(-0.00287626\pi\)
\(380\) 262.190 0.0353949
\(381\) 339.733 10594.1i 0.0456826 1.42455i
\(382\) 819.739 902.624i 0.109795 0.120896i
\(383\) −1183.34 + 3987.07i −0.157874 + 0.531932i −0.999973 0.00739270i \(-0.997647\pi\)
0.842098 + 0.539324i \(0.181320\pi\)
\(384\) −4021.41 + 2264.81i −0.534418 + 0.300979i
\(385\) 93.7589 + 254.773i 0.0124114 + 0.0337258i
\(386\) 3359.12 + 654.189i 0.442940 + 0.0862625i
\(387\) 1410.75 90.5732i 0.185304 0.0118969i
\(388\) −192.097 + 240.882i −0.0251347 + 0.0315179i
\(389\) −910.915 + 592.940i −0.118728 + 0.0772834i −0.603529 0.797341i \(-0.706239\pi\)
0.484801 + 0.874625i \(0.338892\pi\)
\(390\) 894.579 + 115.343i 0.116151 + 0.0149760i
\(391\) 1956.34 2804.56i 0.253034 0.362744i
\(392\) 1622.53 + 104.170i 0.209057 + 0.0134219i
\(393\) 14198.0 1.82238
\(394\) −864.381 + 6856.28i −0.110525 + 0.876687i
\(395\) −444.725 −0.0566494
\(396\) −100.034 6.42241i −0.0126942 0.000814995i
\(397\) −1627.53 + 2333.18i −0.205751 + 0.294960i −0.909679 0.415312i \(-0.863673\pi\)
0.703928 + 0.710271i \(0.251428\pi\)
\(398\) −6225.77 802.724i −0.784095 0.101098i
\(399\) −10068.8 + 6554.08i −1.26334 + 0.822341i
\(400\) 3593.31 4505.87i 0.449164 0.563233i
\(401\) 7042.58 452.149i 0.877032 0.0563073i 0.380963 0.924590i \(-0.375593\pi\)
0.496069 + 0.868283i \(0.334776\pi\)
\(402\) 7389.56 + 1439.12i 0.916810 + 0.178549i
\(403\) 613.343 + 1666.65i 0.0758134 + 0.206010i
\(404\) 2990.63 1684.29i 0.368291 0.207418i
\(405\) −354.128 + 1193.17i −0.0434487 + 0.146393i
\(406\) −66.5925 + 73.3258i −0.00814023 + 0.00896330i
\(407\) −112.025 + 3493.34i −0.0136434 + 0.425450i
\(408\) 2579.34 0.312981
\(409\) −70.5166 + 2198.97i −0.00852524 + 0.265848i 0.986345 + 0.164691i \(0.0526627\pi\)
−0.994870 + 0.101157i \(0.967745\pi\)
\(410\) 1133.49 + 297.235i 0.136534 + 0.0358034i
\(411\) 3968.78 + 3843.55i 0.476315 + 0.461285i
\(412\) 233.404 + 786.415i 0.0279102 + 0.0940386i
\(413\) −8518.16 4102.13i −1.01489 0.488747i
\(414\) 2592.42 1248.45i 0.307755 0.148207i
\(415\) 621.240 1024.80i 0.0734830 0.121218i
\(416\) 1160.25 3152.78i 0.136745 0.371581i
\(417\) 1723.14 + 10658.3i 0.202357 + 1.25165i
\(418\) 1709.85 1655.90i 0.200076 0.193762i
\(419\) −6419.14 + 14501.0i −0.748438 + 1.69074i −0.0256448 + 0.999671i \(0.508164\pi\)
−0.722793 + 0.691064i \(0.757142\pi\)
\(420\) −28.4903 + 295.332i −0.00330996 + 0.0343112i
\(421\) −6632.37 1739.21i −0.767795 0.201340i −0.151075 0.988522i \(-0.548274\pi\)
−0.616720 + 0.787183i \(0.711539\pi\)
\(422\) −1169.57 75.0886i −0.134914 0.00866175i
\(423\) 2172.45 2392.11i 0.249712 0.274960i
\(424\) −1437.86 + 14904.9i −0.164690 + 1.70718i
\(425\) −2092.36 + 847.101i −0.238810 + 0.0966833i
\(426\) −1439.63 477.990i −0.163733 0.0543631i
\(427\) 8814.95 + 11053.6i 0.999029 + 1.25274i
\(428\) 2180.63 + 2401.11i 0.246273 + 0.271174i
\(429\) −1842.36 + 1374.99i −0.207343 + 0.154744i
\(430\) 184.471 + 808.220i 0.0206883 + 0.0906415i
\(431\) 889.967 233.377i 0.0994622 0.0260821i −0.203588 0.979057i \(-0.565260\pi\)
0.303050 + 0.952975i \(0.401995\pi\)
\(432\) −4899.69 2759.45i −0.545686 0.307325i
\(433\) −10999.5 8209.14i −1.22079 0.911099i −0.222825 0.974858i \(-0.571528\pi\)
−0.997965 + 0.0637591i \(0.979691\pi\)
\(434\) 1928.75 780.866i 0.213325 0.0863658i
\(435\) −11.7572 11.3862i −0.00129589 0.00125500i
\(436\) 1086.74 1557.92i 0.119370 0.171126i
\(437\) 5457.75 18389.0i 0.597436 2.01296i
\(438\) 5096.75 11513.7i 0.556010 1.25604i
\(439\) 8122.75 + 6062.16i 0.883092 + 0.659069i 0.940689 0.339271i \(-0.110180\pi\)
−0.0575963 + 0.998340i \(0.518344\pi\)
\(440\) −31.3948 325.440i −0.00340157 0.0352608i
\(441\) −190.783 365.695i −0.0206007 0.0394876i
\(442\) 1509.21 1284.81i 0.162411 0.138263i
\(443\) 9800.27 1263.60i 1.05107 0.135521i 0.417087 0.908866i \(-0.363051\pi\)
0.633985 + 0.773346i \(0.281418\pi\)
\(444\) −1766.85 + 3386.71i −0.188853 + 0.361996i
\(445\) −1395.75 + 271.823i −0.148685 + 0.0289565i
\(446\) −1296.42 + 8018.82i −0.137640 + 0.851350i
\(447\) 89.9700 + 932.633i 0.00951999 + 0.0986847i
\(448\) −10942.6 3633.19i −1.15399 0.383152i
\(449\) −3122.00 10519.1i −0.328143 1.10562i −0.947298 0.320354i \(-0.896198\pi\)
0.619155 0.785269i \(-0.287475\pi\)
\(450\) −1883.87 242.898i −0.197348 0.0254452i
\(451\) −2602.28 + 1465.58i −0.271700 + 0.153018i
\(452\) 831.842 805.594i 0.0865631 0.0838317i
\(453\) −5921.33 3334.83i −0.614146 0.345881i
\(454\) 145.286 898.648i 0.0150190 0.0928979i
\(455\) 725.496 + 1040.05i 0.0747512 + 0.107161i
\(456\) 13731.9 4559.29i 1.41020 0.468220i
\(457\) −1278.91 2889.08i −0.130908 0.295723i 0.836925 0.547318i \(-0.184351\pi\)
−0.967833 + 0.251595i \(0.919045\pi\)
\(458\) 6105.31 + 2471.77i 0.622887 + 0.252179i
\(459\) 1141.77 + 1883.47i 0.116108 + 0.191532i
\(460\) −271.023 388.532i −0.0274707 0.0393813i
\(461\) −6267.69 12014.0i −0.633222 1.21377i −0.962947 0.269691i \(-0.913078\pi\)
0.329725 0.944077i \(-0.393044\pi\)
\(462\) 1679.41 + 2105.92i 0.169120 + 0.212070i
\(463\) −5938.56 2859.86i −0.596087 0.287060i 0.111412 0.993774i \(-0.464463\pi\)
−0.707499 + 0.706714i \(0.750177\pi\)
\(464\) 76.9555 50.0925i 0.00769950 0.00501182i
\(465\) 118.746 + 322.672i 0.0118424 + 0.0321797i
\(466\) 1974.67 + 12214.1i 0.196298 + 1.21417i
\(467\) 3378.89 886.049i 0.334810 0.0877975i −0.0824220 0.996598i \(-0.526266\pi\)
0.417232 + 0.908800i \(0.363000\pi\)
\(468\) −459.594 + 89.5060i −0.0453948 + 0.00884063i
\(469\) 5486.72 + 9050.92i 0.540199 + 0.891114i
\(470\) 1588.14 + 1033.76i 0.155863 + 0.101455i
\(471\) 1556.55 6819.69i 0.152276 0.667165i
\(472\) 8670.09 + 7380.96i 0.845494 + 0.719780i
\(473\) −1770.78 1152.65i −0.172137 0.112049i
\(474\) −4187.72 + 1390.42i −0.405798 + 0.134734i
\(475\) −9641.91 + 8208.28i −0.931371 + 0.792887i
\(476\) 438.325 + 482.645i 0.0422072 + 0.0464748i
\(477\) 3422.59 1648.23i 0.328531 0.158212i
\(478\) −8196.07 + 10277.6i −0.784267 + 0.983440i
\(479\) 6486.61 + 1263.27i 0.618749 + 0.120501i 0.490790 0.871278i \(-0.336708\pi\)
0.127959 + 0.991779i \(0.459157\pi\)
\(480\) 224.631 610.394i 0.0213603 0.0580428i
\(481\) 3632.88 + 15916.7i 0.344377 + 1.50881i
\(482\) 6396.63 12261.1i 0.604478 1.15867i
\(483\) 20120.3 + 8145.83i 1.89546 + 0.767387i
\(484\) −1663.20 1415.90i −0.156198 0.132974i
\(485\) 8.17122 + 254.809i 0.000765023 + 0.0238562i
\(486\) 136.454 + 4255.13i 0.0127359 + 0.397153i
\(487\) 4224.97 18510.8i 0.393125 1.72239i −0.260413 0.965497i \(-0.583859\pi\)
0.653537 0.756894i \(-0.273284\pi\)
\(488\) −6892.26 15569.7i −0.639340 1.44428i
\(489\) 10273.4 1324.61i 0.950062 0.122497i
\(490\) 193.848 144.673i 0.0178718 0.0133381i
\(491\) −3175.47 + 5238.27i −0.291867 + 0.481466i −0.966493 0.256695i \(-0.917367\pi\)
0.674625 + 0.738160i \(0.264305\pi\)
\(492\) −3257.40 + 209.132i −0.298485 + 0.0191634i
\(493\) −35.8910 + 2.30428i −0.00327881 + 0.000210506i
\(494\) 5763.66 9507.76i 0.524938 0.865940i
\(495\) −66.4728 + 49.6100i −0.00603582 + 0.00450465i
\(496\) −1913.13 + 246.670i −0.173189 + 0.0223303i
\(497\) −863.244 1950.08i −0.0779111 0.176002i
\(498\) 2645.85 11592.2i 0.238079 1.04309i
\(499\) 414.962 + 12940.0i 0.0372269 + 1.16087i 0.832288 + 0.554344i \(0.187031\pi\)
−0.795061 + 0.606530i \(0.792561\pi\)
\(500\) 20.2181 + 630.475i 0.00180836 + 0.0563914i
\(501\) 1624.54 + 1382.99i 0.144869 + 0.123328i
\(502\) −5660.37 2291.63i −0.503257 0.203746i
\(503\) −3893.88 + 7463.83i −0.345168 + 0.661622i −0.995154 0.0983237i \(-0.968652\pi\)
0.649987 + 0.759945i \(0.274774\pi\)
\(504\) 678.996 + 2974.88i 0.0600097 + 0.262920i
\(505\) 980.868 2665.33i 0.0864318 0.234863i
\(506\) −4221.29 822.096i −0.370868 0.0722265i
\(507\) 1195.67 1499.33i 0.104737 0.131336i
\(508\) −2907.18 + 1400.02i −0.253908 + 0.122276i
\(509\) −8821.28 9713.21i −0.768166 0.845836i 0.223496 0.974705i \(-0.428253\pi\)
−0.991662 + 0.128869i \(0.958865\pi\)
\(510\) 292.191 248.745i 0.0253694 0.0215973i
\(511\) 16800.2 5578.05i 1.45440 0.482893i
\(512\) 10722.8 + 6979.79i 0.925560 + 0.602473i
\(513\) 9407.83 + 8009.00i 0.809680 + 0.689290i
\(514\) 2634.78 11543.7i 0.226099 0.990607i
\(515\) 568.878 + 370.299i 0.0486753 + 0.0316841i
\(516\) −1197.08 1974.70i −0.102129 0.168472i
\(517\) −4740.61 + 923.234i −0.403273 + 0.0785373i
\(518\) 18503.3 4852.15i 1.56948 0.411566i
\(519\) −102.178 632.006i −0.00864183 0.0534528i
\(520\) −527.446 1433.24i −0.0444808 0.120869i
\(521\) −8632.77 + 5619.31i −0.725928 + 0.472527i −0.854683 0.519150i \(-0.826249\pi\)
0.128755 + 0.991676i \(0.458902\pi\)
\(522\) −27.2662 13.1307i −0.00228623 0.00110099i
\(523\) −654.330 820.504i −0.0547072 0.0686007i 0.753725 0.657190i \(-0.228255\pi\)
−0.808432 + 0.588589i \(0.799684\pi\)
\(524\) −1999.17 3832.03i −0.166668 0.319471i
\(525\) −8198.12 11752.6i −0.681514 0.977002i
\(526\) −4761.86 7855.19i −0.394728 0.651146i
\(527\) 700.316 + 283.527i 0.0578866 + 0.0234357i
\(528\) −1010.74 2283.28i −0.0833082 0.188195i
\(529\) −21344.6 + 7086.89i −1.75430 + 0.582468i
\(530\) 1274.51 + 1827.10i 0.104455 + 0.149744i
\(531\) 461.022 2851.59i 0.0376773 0.233048i
\(532\) 3186.69 + 1794.71i 0.259700 + 0.146260i
\(533\) −10021.4 + 9705.20i −0.814401 + 0.788703i
\(534\) −12293.2 + 6923.38i −0.996212 + 0.561056i
\(535\) 2661.85 + 343.208i 0.215106 + 0.0277349i
\(536\) −3626.83 12220.0i −0.292267 0.984745i
\(537\) −9805.94 3255.80i −0.788003 0.261635i
\(538\) −129.036 1337.59i −0.0103404 0.107189i
\(539\) −98.3913 + 608.585i −0.00786273 + 0.0486338i
\(540\) 299.502 58.3279i 0.0238676 0.00464821i
\(541\) −6438.75 + 12341.9i −0.511688 + 0.980810i 0.482777 + 0.875743i \(0.339628\pi\)
−0.994465 + 0.105067i \(0.966494\pi\)
\(542\) −11835.8 + 1526.06i −0.937993 + 0.120941i
\(543\) −524.166 + 446.229i −0.0414256 + 0.0352662i
\(544\) −661.074 1267.16i −0.0521017 0.0998692i
\(545\) −150.925 1564.50i −0.0118623 0.122965i
\(546\) 10083.3 + 7525.35i 0.790338 + 0.589845i
\(547\) 5362.44 12113.8i 0.419161 0.946893i −0.572723 0.819749i \(-0.694113\pi\)
0.991884 0.127144i \(-0.0405809\pi\)
\(548\) 478.541 1612.36i 0.0373034 0.125687i
\(549\) −2471.32 + 3542.82i −0.192119 + 0.275417i
\(550\) 2039.38 + 1975.03i 0.158108 + 0.153119i
\(551\) −187.003 + 75.7092i −0.0144585 + 0.00585358i
\(552\) −20950.8 15636.0i −1.61544 1.20564i
\(553\) −5405.23 3044.17i −0.415649 0.234089i
\(554\) −18509.8 + 4853.85i −1.41951 + 0.372239i
\(555\) 703.344 + 3081.55i 0.0537933 + 0.235684i
\(556\) 2634.02 1965.82i 0.200912 0.149945i
\(557\) −5441.13 5991.29i −0.413911 0.455762i 0.497375 0.867535i \(-0.334297\pi\)
−0.911286 + 0.411774i \(0.864909\pi\)
\(558\) 396.387 + 497.053i 0.0300724 + 0.0377096i
\(559\) −9366.65 3109.94i −0.708707 0.235307i
\(560\) −1276.70 + 516.880i −0.0963403 + 0.0390039i
\(561\) −93.9120 + 973.496i −0.00706768 + 0.0732639i
\(562\) 12374.7 13625.9i 0.928819 1.02273i
\(563\) −10130.5 650.402i −0.758350 0.0486877i −0.319910 0.947448i \(-0.603653\pi\)
−0.438440 + 0.898760i \(0.644469\pi\)
\(564\) −5105.81 1338.90i −0.381194 0.0999607i
\(565\) 92.0081 953.760i 0.00685099 0.0710177i
\(566\) 3616.92 8170.68i 0.268605 0.606783i
\(567\) −12471.5 + 12077.9i −0.923725 + 0.894578i
\(568\) 409.914 + 2535.46i 0.0302810 + 0.187299i
\(569\) −5404.84 + 14686.7i −0.398212 + 1.08207i 0.567708 + 0.823230i \(0.307830\pi\)
−0.965920 + 0.258841i \(0.916660\pi\)
\(570\) 1115.87 1840.75i 0.0819979 0.135264i
\(571\) −8304.30 + 3999.14i −0.608624 + 0.293098i −0.712697 0.701472i \(-0.752527\pi\)
0.104073 + 0.994570i \(0.466812\pi\)
\(572\) 630.523 + 303.644i 0.0460900 + 0.0221958i
\(573\) 799.629 + 2694.22i 0.0582984 + 0.196427i
\(574\) 11741.9 + 11371.4i 0.853831 + 0.826890i
\(575\) 22130.4 + 5803.27i 1.60504 + 0.420892i
\(576\) 112.910 3520.94i 0.00816767 0.254698i
\(577\) −401.450 −0.0289646 −0.0144823 0.999895i \(-0.504610\pi\)
−0.0144823 + 0.999895i \(0.504610\pi\)
\(578\) −366.533 + 11429.8i −0.0263767 + 0.822523i
\(579\) −5303.04 + 5839.24i −0.380634 + 0.419120i
\(580\) −1.41764 + 4.77649i −0.000101490 + 0.000341954i
\(581\) 14565.4 8203.11i 1.04006 0.585753i
\(582\) 873.596 + 2373.84i 0.0622194 + 0.169070i
\(583\) −5573.06 1085.35i −0.395905 0.0771025i
\(584\) −21275.4 + 1365.93i −1.50751 + 0.0967851i
\(585\) −241.565 + 302.913i −0.0170726 + 0.0214084i
\(586\) −4532.82 + 2950.54i −0.319537 + 0.207996i
\(587\) 16726.4 + 2156.63i 1.17610 + 0.151642i 0.691026 0.722830i \(-0.257159\pi\)
0.485077 + 0.874472i \(0.338792\pi\)
\(588\) −385.475 + 552.607i −0.0270352 + 0.0387570i
\(589\) 4229.50 + 271.543i 0.295881 + 0.0189962i
\(590\) 1693.96 0.118202
\(591\) −12481.1 9895.90i −0.868701 0.688769i
\(592\) −17732.9 −1.23111
\(593\) 17932.5 + 1151.30i 1.24182 + 0.0797274i 0.671068 0.741396i \(-0.265836\pi\)
0.570750 + 0.821124i \(0.306652\pi\)
\(594\) 1584.80 2271.93i 0.109470 0.156933i
\(595\) 535.055 + 68.9877i 0.0368658 + 0.00475331i
\(596\) 239.048 155.603i 0.0164292 0.0106942i
\(597\) 9021.00 11312.0i 0.618434 0.775492i
\(598\) −20047.1 + 1287.07i −1.37088 + 0.0880136i
\(599\) −4711.95 917.651i −0.321410 0.0625947i 0.0278739 0.999611i \(-0.491126\pi\)
−0.349284 + 0.937017i \(0.613575\pi\)
\(600\) 5960.14 + 16195.6i 0.405536 + 1.10197i
\(601\) −599.101 + 337.407i −0.0406620 + 0.0229004i −0.510915 0.859631i \(-0.670693\pi\)
0.470253 + 0.882532i \(0.344163\pi\)
\(602\) −3290.24 + 11085.9i −0.222758 + 0.750545i
\(603\) −2174.06 + 2393.88i −0.146823 + 0.161669i
\(604\) −66.3078 + 2067.72i −0.00446693 + 0.139295i
\(605\) −1807.39 −0.121456
\(606\) 903.183 28164.6i 0.0605434 1.88797i
\(607\) 4497.02 + 1179.26i 0.300706 + 0.0788543i 0.400924 0.916111i \(-0.368689\pi\)
−0.100219 + 0.994965i \(0.531954\pi\)
\(608\) −5759.27 5577.54i −0.384160 0.372038i
\(609\) −64.9589 218.868i −0.00432228 0.0145632i
\(610\) −2282.27 1099.08i −0.151486 0.0729519i
\(611\) −20325.7 + 9788.32i −1.34581 + 0.648106i
\(612\) −103.263 + 170.343i −0.00682053 + 0.0112512i
\(613\) −7230.73 + 19648.2i −0.476422 + 1.29459i 0.441297 + 0.897361i \(0.354518\pi\)
−0.917719 + 0.397230i \(0.869971\pi\)
\(614\) 2556.08 + 15810.3i 0.168005 + 1.03917i
\(615\) −1940.20 + 1878.98i −0.127213 + 0.123199i
\(616\) 1846.09 4170.34i 0.120748 0.272772i
\(617\) 869.212 9010.30i 0.0567150 0.587911i −0.922626 0.385696i \(-0.873962\pi\)
0.979341 0.202215i \(-0.0648140\pi\)
\(618\) 6514.53 + 1708.31i 0.424034 + 0.111195i
\(619\) 23868.3 + 1532.39i 1.54983 + 0.0995025i 0.815287 0.579057i \(-0.196579\pi\)
0.734545 + 0.678560i \(0.237396\pi\)
\(620\) 70.3686 77.4836i 0.00455818 0.00501906i
\(621\) 2143.54 22220.0i 0.138514 1.43584i
\(622\) 2257.18 913.831i 0.145506 0.0589088i
\(623\) −18824.8 6250.26i −1.21059 0.401945i
\(624\) −7272.14 9118.98i −0.466536 0.585018i
\(625\) −9976.84 10985.6i −0.638518 0.703079i
\(626\) −9519.60 + 7104.66i −0.607795 + 0.453609i
\(627\) 1220.80 + 5348.69i 0.0777579 + 0.340680i
\(628\) −2059.80 + 540.142i −0.130883 + 0.0343217i
\(629\) 6051.81 + 3408.32i 0.383627 + 0.216055i
\(630\) 363.808 + 271.517i 0.0230071 + 0.0171706i
\(631\) −12902.5 + 5223.64i −0.814010 + 0.329556i −0.744160 0.668001i \(-0.767150\pi\)
−0.0698501 + 0.997558i \(0.522252\pi\)
\(632\) 5366.88 + 5197.53i 0.337790 + 0.327131i
\(633\) 1545.45 2215.52i 0.0970396 0.139114i
\(634\) −340.817 + 1148.33i −0.0213495 + 0.0719335i
\(635\) −1080.76 + 2441.46i −0.0675414 + 0.152577i
\(636\) −4973.03 3711.47i −0.310053 0.231398i
\(637\) 276.513 + 2866.35i 0.0171992 + 0.178287i
\(638\) 20.9216 + 40.1029i 0.00129827 + 0.00248854i
\(639\) 496.140 422.370i 0.0307151 0.0261482i
\(640\) 1153.03 148.666i 0.0712147 0.00918212i
\(641\) 7951.82 15242.2i 0.489981 0.939203i −0.507029 0.861929i \(-0.669256\pi\)
0.997010 0.0772733i \(-0.0246214\pi\)
\(642\) 26138.2 5090.41i 1.60684 0.312932i
\(643\) 4125.63 25518.5i 0.253031 1.56509i −0.475277 0.879836i \(-0.657652\pi\)
0.728308 0.685250i \(-0.240307\pi\)
\(644\) −634.517 6577.43i −0.0388253 0.402465i
\(645\) −1813.43 602.100i −0.110703 0.0367561i
\(646\) −1345.84 4534.57i −0.0819678 0.276177i
\(647\) −17787.3 2293.42i −1.08082 0.139357i −0.433185 0.901305i \(-0.642610\pi\)
−0.647637 + 0.761949i \(0.724243\pi\)
\(648\) 18218.3 10260.3i 1.10445 0.622013i
\(649\) −3101.40 + 3003.54i −0.187582 + 0.181663i
\(650\) 11554.7 + 6507.46i 0.697248 + 0.392683i
\(651\) −765.457 + 4734.62i −0.0460839 + 0.285045i
\(652\) −1804.07 2586.27i −0.108363 0.155347i
\(653\) 23350.3 7752.82i 1.39934 0.464612i 0.486766 0.873532i \(-0.338176\pi\)
0.912570 + 0.408920i \(0.134095\pi\)
\(654\) −6312.54 14260.1i −0.377431 0.852623i
\(655\) −3315.03 1342.11i −0.197754 0.0800619i
\(656\) −7855.08 12957.8i −0.467515 0.771214i
\(657\) 3094.29 + 4435.90i 0.183744 + 0.263411i
\(658\) 12226.3 + 23435.4i 0.724360 + 1.38846i
\(659\) −5096.77 6391.15i −0.301278 0.377790i 0.608030 0.793914i \(-0.291960\pi\)
−0.909308 + 0.416123i \(0.863388\pi\)
\(660\) 122.072 + 58.7869i 0.00719948 + 0.00346709i
\(661\) 16396.0 10672.6i 0.964796 0.628013i 0.0362948 0.999341i \(-0.488444\pi\)
0.928502 + 0.371328i \(0.121098\pi\)
\(662\) 4839.74 + 13151.1i 0.284142 + 0.772105i
\(663\) 729.114 + 4509.82i 0.0427095 + 0.264174i
\(664\) −19474.0 + 5106.68i −1.13816 + 0.298460i
\(665\) 2970.47 578.498i 0.173218 0.0337341i
\(666\) 3029.73 + 4997.85i 0.176276 + 0.290785i
\(667\) 305.495 + 198.855i 0.0177343 + 0.0115438i
\(668\) 144.523 633.195i 0.00837088 0.0366752i
\(669\) −14256.2 12136.5i −0.823882 0.701381i
\(670\) −1589.32 1034.53i −0.0916429 0.0596529i
\(671\) 6127.29 2034.40i 0.352521 0.117045i
\(672\) 6908.38 5881.19i 0.396572 0.337607i
\(673\) 2372.24 + 2612.10i 0.135874 + 0.149612i 0.804426 0.594053i \(-0.202473\pi\)
−0.668552 + 0.743666i \(0.733085\pi\)
\(674\) −14700.6 + 7079.44i −0.840128 + 0.404584i
\(675\) −9187.98 + 11521.4i −0.523919 + 0.656974i
\(676\) −573.025 111.597i −0.0326027 0.00634937i
\(677\) 4131.38 11226.3i 0.234537 0.637313i −0.765444 0.643503i \(-0.777480\pi\)
0.999981 + 0.00618965i \(0.00197024\pi\)
\(678\) −2115.52 9268.68i −0.119832 0.525017i
\(679\) −1644.87 + 3152.91i −0.0929666 + 0.178200i
\(680\) −602.238 243.819i −0.0339629 0.0137501i
\(681\) 1597.66 + 1360.11i 0.0899007 + 0.0765335i
\(682\) −30.4559 949.728i −0.00171000 0.0533240i
\(683\) 322.340 + 10051.8i 0.0180586 + 0.563133i 0.968036 + 0.250813i \(0.0806979\pi\)
−0.949977 + 0.312320i \(0.898894\pi\)
\(684\) −248.649 + 1089.40i −0.0138996 + 0.0608982i
\(685\) −563.330 1272.57i −0.0314215 0.0709817i
\(686\) −13862.8 + 1787.41i −0.771550 + 0.0994804i
\(687\) −12166.8 + 9080.31i −0.675679 + 0.504273i
\(688\) 5557.12 9167.06i 0.307941 0.507981i
\(689\) −26466.7 + 1699.22i −1.46343 + 0.0939553i
\(690\) −3881.22 + 249.183i −0.214139 + 0.0137482i
\(691\) 3122.44 5150.80i 0.171901 0.283568i −0.757356 0.653002i \(-0.773509\pi\)
0.929257 + 0.369433i \(0.120448\pi\)
\(692\) −156.190 + 116.568i −0.00858016 + 0.00640354i
\(693\) −1147.50 + 147.954i −0.0629005 + 0.00811012i
\(694\) −8091.82 18279.6i −0.442596 0.999831i
\(695\) 605.172 2651.43i 0.0330295 0.144712i
\(696\) 8.81277 + 274.815i 0.000479953 + 0.0149667i
\(697\) 190.227 + 5931.96i 0.0103377 + 0.322366i
\(698\) 21230.3 + 18073.6i 1.15126 + 0.980079i
\(699\) −26433.5 10701.8i −1.43034 0.579081i
\(700\) −2017.67 + 3867.50i −0.108944 + 0.208825i
\(701\) 6917.51 + 30307.6i 0.372712 + 1.63296i 0.719130 + 0.694876i \(0.244541\pi\)
−0.346418 + 0.938080i \(0.612602\pi\)
\(702\) 4468.74 12143.0i 0.240259 0.652861i
\(703\) 38243.2 + 7447.86i 2.05174 + 0.399575i
\(704\) −3282.80 + 4116.50i −0.175746 + 0.220378i
\(705\) −3935.15 + 1895.07i −0.210222 + 0.101237i
\(706\) 6981.99 + 7687.95i 0.372196 + 0.409830i
\(707\) 30166.0 25680.7i 1.60468 1.36608i
\(708\) −4478.18 + 1486.86i −0.237712 + 0.0789258i
\(709\) 29536.7 + 19226.2i 1.56456 + 1.01842i 0.978024 + 0.208493i \(0.0668558\pi\)
0.586536 + 0.809923i \(0.300491\pi\)
\(710\) 290.949 + 247.689i 0.0153791 + 0.0130924i
\(711\) 421.757 1847.84i 0.0222463 0.0974673i
\(712\) 20020.6 + 13032.0i 1.05380 + 0.685946i
\(713\) −3969.61 6548.28i −0.208503 0.343948i
\(714\) 5254.00 1023.22i 0.275386 0.0536315i
\(715\) 560.139 146.886i 0.0292979 0.00768282i
\(716\) 502.000 + 3105.05i 0.0262020 + 0.162068i
\(717\) −10464.2 28434.7i −0.545040 1.48105i
\(718\) 11865.2 7723.39i 0.616720 0.401440i
\(719\) 31301.9 + 15074.2i 1.62360 + 0.781882i 1.00000 0.000134921i \(4.29468e-5\pi\)
0.623595 + 0.781747i \(0.285671\pi\)
\(720\) −262.381 329.015i −0.0135811 0.0170301i
\(721\) 4379.49 + 8394.66i 0.226215 + 0.433611i
\(722\) −5372.83 7702.35i −0.276947 0.397025i
\(723\) 16524.0 + 27258.0i 0.849976 + 1.40212i
\(724\) 194.242 + 78.6400i 0.00997094 + 0.00403679i
\(725\) −97.4029 220.035i −0.00498959 0.0112716i
\(726\) −17019.1 + 5650.74i −0.870027 + 0.288869i
\(727\) −21943.9 31458.2i −1.11947 1.60484i −0.729449 0.684035i \(-0.760223\pi\)
−0.390019 0.920807i \(-0.627532\pi\)
\(728\) 3400.00 21030.2i 0.173094 1.07065i
\(729\) 11628.6 + 6549.12i 0.590795 + 0.332730i
\(730\) −2278.38 + 2206.49i −0.115516 + 0.111871i
\(731\) −3658.46 + 2060.40i −0.185107 + 0.104250i
\(732\) 6998.16 + 902.313i 0.353360 + 0.0455607i
\(733\) 1995.39 + 6723.12i 0.100547 + 0.338778i 0.993858 0.110662i \(-0.0352971\pi\)
−0.893311 + 0.449440i \(0.851624\pi\)
\(734\) 7634.21 + 2534.73i 0.383902 + 0.127464i
\(735\) 53.5344 + 554.940i 0.00268659 + 0.0278493i
\(736\) −2311.91 + 14300.0i −0.115785 + 0.716173i
\(737\) 4744.13 923.919i 0.237113 0.0461778i
\(738\) −2309.97 + 4427.77i −0.115218 + 0.220852i
\(739\) 27752.4 3578.28i 1.38145 0.178118i 0.598957 0.800781i \(-0.295582\pi\)
0.782490 + 0.622664i \(0.213949\pi\)
\(740\) 732.672 623.732i 0.0363967 0.0309849i
\(741\) 11853.3 + 22720.6i 0.587641 + 1.12640i
\(742\) 2983.87 + 30930.9i 0.147630 + 1.53034i
\(743\) 24016.8 + 17924.2i 1.18585 + 0.885026i 0.995318 0.0966546i \(-0.0308142\pi\)
0.190536 + 0.981680i \(0.438977\pi\)
\(744\) 2338.08 5281.77i 0.115213 0.260267i
\(745\) 67.1531 226.261i 0.00330241 0.0111269i
\(746\) −13252.8 + 18998.9i −0.650429 + 0.932439i
\(747\) 3668.90 + 3553.13i 0.179703 + 0.174033i
\(748\) 275.969 111.727i 0.0134899 0.00546144i
\(749\) 30003.2 + 22391.9i 1.46367 + 1.09237i
\(750\) 4512.41 + 2541.34i 0.219693 + 0.123729i
\(751\) 6464.26 1695.13i 0.314093 0.0823650i −0.0932424 0.995643i \(-0.529723\pi\)
0.407336 + 0.913278i \(0.366458\pi\)
\(752\) −5452.61 23889.4i −0.264410 1.15845i
\(753\) 11280.1 8418.56i 0.545910 0.407423i
\(754\) 142.046 + 156.408i 0.00686075 + 0.00755445i
\(755\) 1067.31 + 1338.36i 0.0514482 + 0.0645140i
\(756\) 4039.44 + 1341.19i 0.194329 + 0.0645217i
\(757\) 8215.71 3326.17i 0.394458 0.159698i −0.169444 0.985540i \(-0.554197\pi\)
0.563903 + 0.825841i \(0.309299\pi\)
\(758\) −145.487 + 1508.13i −0.00697141 + 0.0722660i
\(759\) 6664.15 7337.97i 0.318700 0.350924i
\(760\) −3637.17 233.514i −0.173597 0.0111453i
\(761\) −16084.8 4217.94i −0.766195 0.200920i −0.150185 0.988658i \(-0.547987\pi\)
−0.616010 + 0.787738i \(0.711252\pi\)
\(762\) −2543.77 + 26368.8i −0.120933 + 1.25360i
\(763\) 8874.75 20048.2i 0.421085 0.951237i
\(764\) 614.573 595.180i 0.0291027 0.0281844i
\(765\) 26.3066 + 162.716i 0.00124329