Properties

Label 378.2.z.a.41.5
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.5
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.754516 + 1.55907i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.486827 + 0.408497i) q^{5} +(0.472323 - 1.66641i) q^{6} +(-0.719601 - 2.54601i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.86141 - 2.35269i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.754516 + 1.55907i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.486827 + 0.408497i) q^{5} +(0.472323 - 1.66641i) q^{6} +(-0.719601 - 2.54601i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.86141 - 2.35269i) q^{9} +(-0.550366 - 0.317754i) q^{10} +(-3.72295 - 4.43684i) q^{11} +(-0.175779 + 1.72311i) q^{12} +(-0.505415 - 0.0891184i) q^{13} +(1.15078 + 2.38237i) q^{14} +(-1.00419 + 0.450782i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.66709 + 2.88748i) q^{17} +(2.24167 + 1.99372i) q^{18} +(3.56339 - 2.05732i) q^{19} +(0.597182 + 0.217357i) q^{20} +(4.51237 + 0.799095i) q^{21} +(4.43684 + 3.72295i) q^{22} +(-0.488119 - 1.34109i) q^{23} +(-0.126106 - 1.72745i) q^{24} +(-0.798110 - 4.52630i) q^{25} +0.513212 q^{26} +(5.07248 - 1.12694i) q^{27} +(-1.54699 - 2.14635i) q^{28} +(-3.07257 + 0.541776i) q^{29} +(0.910661 - 0.618310i) q^{30} +(-2.46439 - 6.77086i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(9.72638 - 2.45669i) q^{33} +(1.14036 - 3.13310i) q^{34} +(0.689716 - 1.53342i) q^{35} +(-2.55382 - 1.57416i) q^{36} +(-0.189555 + 0.328318i) q^{37} +(-3.15200 + 2.64485i) q^{38} +(0.520286 - 0.720738i) q^{39} +(-0.625853 - 0.110355i) q^{40} +(-0.877198 + 4.97484i) q^{41} +(-4.58257 - 0.00339101i) q^{42} +(7.02881 - 5.89787i) q^{43} +(-5.01592 - 2.89594i) q^{44} +(0.0548789 - 1.90573i) q^{45} +(0.713582 + 1.23596i) q^{46} +(5.23895 + 1.90682i) q^{47} +(0.424160 + 1.67931i) q^{48} +(-5.96435 + 3.66423i) q^{49} +(1.57197 + 4.31895i) q^{50} +(-3.24395 - 4.77776i) q^{51} +(-0.505415 + 0.0891184i) q^{52} -3.85391i q^{53} +(-4.79972 + 1.99064i) q^{54} -3.68079i q^{55} +(1.89620 + 1.84511i) q^{56} +(0.518884 + 7.10787i) q^{57} +(2.93181 - 1.06709i) q^{58} +(-2.85807 - 2.39820i) q^{59} +(-0.789458 + 0.767051i) q^{60} +(0.871745 - 2.39510i) q^{61} +(3.60270 + 6.24006i) q^{62} +(-4.65050 + 6.43217i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-0.209646 - 0.249846i) q^{65} +(-9.15202 + 4.10833i) q^{66} +(-1.36783 + 7.75736i) q^{67} +(-0.578974 + 3.28353i) q^{68} +(2.45916 + 0.250865i) q^{69} +(-0.412961 + 1.62989i) q^{70} +(-2.67680 - 1.54545i) q^{71} +(2.78837 + 1.10678i) q^{72} +(-11.5451 + 6.66557i) q^{73} +(0.129663 - 0.356246i) q^{74} +(7.65902 + 2.17086i) q^{75} +(2.64485 - 3.15200i) q^{76} +(-8.61721 + 12.6714i) q^{77} +(-0.387227 + 0.800135i) q^{78} +(-0.238325 - 1.35161i) q^{79} +0.635508 q^{80} +(-2.07029 + 8.75865i) q^{81} -5.05158i q^{82} +(-1.33547 - 7.57382i) q^{83} +(4.51354 - 0.792416i) q^{84} +(-1.99111 + 0.724706i) q^{85} +(-5.89787 + 7.02881i) q^{86} +(1.47363 - 5.19913i) q^{87} +(5.44259 + 1.98094i) q^{88} +(-2.08703 - 3.61484i) q^{89} +(0.276882 + 1.88631i) q^{90} +(0.136801 + 1.35092i) q^{91} +(-0.917363 - 1.09327i) q^{92} +(12.4157 + 1.26655i) q^{93} +(-5.49047 - 0.968119i) q^{94} +(2.57517 + 0.454071i) q^{95} +(-0.709325 - 1.58014i) q^{96} +(11.4055 + 13.5925i) q^{97} +(5.23745 - 4.64426i) q^{98} +(-3.50856 + 17.0177i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) −0.754516 + 1.55907i −0.435620 + 0.900131i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 0.486827 + 0.408497i 0.217716 + 0.182685i 0.745122 0.666928i \(-0.232391\pi\)
−0.527407 + 0.849613i \(0.676836\pi\)
\(6\) 0.472323 1.66641i 0.192825 0.680308i
\(7\) −0.719601 2.54601i −0.271984 0.962302i
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) −1.86141 2.35269i −0.620471 0.784230i
\(10\) −0.550366 0.317754i −0.174041 0.100483i
\(11\) −3.72295 4.43684i −1.12251 1.33776i −0.934653 0.355562i \(-0.884289\pi\)
−0.187859 0.982196i \(-0.560155\pi\)
\(12\) −0.175779 + 1.72311i −0.0507429 + 0.497418i
\(13\) −0.505415 0.0891184i −0.140177 0.0247170i 0.103119 0.994669i \(-0.467118\pi\)
−0.243296 + 0.969952i \(0.578229\pi\)
\(14\) 1.15078 + 2.38237i 0.307559 + 0.636716i
\(15\) −1.00419 + 0.450782i −0.259282 + 0.116391i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.66709 + 2.88748i −0.404329 + 0.700318i −0.994243 0.107148i \(-0.965828\pi\)
0.589914 + 0.807466i \(0.299161\pi\)
\(18\) 2.24167 + 1.99372i 0.528368 + 0.469923i
\(19\) 3.56339 2.05732i 0.817498 0.471983i −0.0320550 0.999486i \(-0.510205\pi\)
0.849553 + 0.527503i \(0.176872\pi\)
\(20\) 0.597182 + 0.217357i 0.133534 + 0.0486024i
\(21\) 4.51237 + 0.799095i 0.984679 + 0.174377i
\(22\) 4.43684 + 3.72295i 0.945938 + 0.793736i
\(23\) −0.488119 1.34109i −0.101780 0.279638i 0.878343 0.478032i \(-0.158650\pi\)
−0.980122 + 0.198394i \(0.936427\pi\)
\(24\) −0.126106 1.72745i −0.0257414 0.352615i
\(25\) −0.798110 4.52630i −0.159622 0.905261i
\(26\) 0.513212 0.100649
\(27\) 5.07248 1.12694i 0.976198 0.216879i
\(28\) −1.54699 2.14635i −0.292354 0.405622i
\(29\) −3.07257 + 0.541776i −0.570561 + 0.100605i −0.451483 0.892280i \(-0.649105\pi\)
−0.119078 + 0.992885i \(0.537994\pi\)
\(30\) 0.910661 0.618310i 0.166263 0.112887i
\(31\) −2.46439 6.77086i −0.442618 1.21608i −0.937764 0.347273i \(-0.887108\pi\)
0.495147 0.868809i \(-0.335114\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) 9.72638 2.45669i 1.69315 0.427654i
\(34\) 1.14036 3.13310i 0.195570 0.537323i
\(35\) 0.689716 1.53342i 0.116583 0.259196i
\(36\) −2.55382 1.57416i −0.425637 0.262361i
\(37\) −0.189555 + 0.328318i −0.0311626 + 0.0539752i −0.881186 0.472770i \(-0.843254\pi\)
0.850023 + 0.526745i \(0.176588\pi\)
\(38\) −3.15200 + 2.64485i −0.511323 + 0.429051i
\(39\) 0.520286 0.720738i 0.0833124 0.115410i
\(40\) −0.625853 0.110355i −0.0989561 0.0174486i
\(41\) −0.877198 + 4.97484i −0.136995 + 0.776939i 0.836454 + 0.548037i \(0.184625\pi\)
−0.973449 + 0.228902i \(0.926486\pi\)
\(42\) −4.58257 0.00339101i −0.707107 0.000523244i
\(43\) 7.02881 5.89787i 1.07188 0.899417i 0.0766617 0.997057i \(-0.475574\pi\)
0.995222 + 0.0976401i \(0.0311294\pi\)
\(44\) −5.01592 2.89594i −0.756178 0.436580i
\(45\) 0.0548789 1.90573i 0.00818086 0.284090i
\(46\) 0.713582 + 1.23596i 0.105212 + 0.182232i
\(47\) 5.23895 + 1.90682i 0.764179 + 0.278139i 0.694560 0.719435i \(-0.255599\pi\)
0.0696196 + 0.997574i \(0.477821\pi\)
\(48\) 0.424160 + 1.67931i 0.0612222 + 0.242388i
\(49\) −5.96435 + 3.66423i −0.852050 + 0.523461i
\(50\) 1.57197 + 4.31895i 0.222310 + 0.610792i
\(51\) −3.24395 4.77776i −0.454244 0.669021i
\(52\) −0.505415 + 0.0891184i −0.0700885 + 0.0123585i
\(53\) 3.85391i 0.529376i −0.964334 0.264688i \(-0.914731\pi\)
0.964334 0.264688i \(-0.0852689\pi\)
\(54\) −4.79972 + 1.99064i −0.653160 + 0.270892i
\(55\) 3.68079i 0.496318i
\(56\) 1.89620 + 1.84511i 0.253390 + 0.246563i
\(57\) 0.518884 + 7.10787i 0.0687278 + 0.941460i
\(58\) 2.93181 1.06709i 0.384965 0.140116i
\(59\) −2.85807 2.39820i −0.372089 0.312220i 0.437498 0.899219i \(-0.355865\pi\)
−0.809587 + 0.587000i \(0.800309\pi\)
\(60\) −0.789458 + 0.767051i −0.101919 + 0.0990259i
\(61\) 0.871745 2.39510i 0.111616 0.306661i −0.871291 0.490767i \(-0.836717\pi\)
0.982906 + 0.184106i \(0.0589389\pi\)
\(62\) 3.60270 + 6.24006i 0.457543 + 0.792488i
\(63\) −4.65050 + 6.43217i −0.585908 + 0.810378i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −0.209646 0.249846i −0.0260033 0.0309896i
\(66\) −9.15202 + 4.10833i −1.12654 + 0.505701i
\(67\) −1.36783 + 7.75736i −0.167107 + 0.947712i 0.779758 + 0.626081i \(0.215342\pi\)
−0.946865 + 0.321631i \(0.895769\pi\)
\(68\) −0.578974 + 3.28353i −0.0702109 + 0.398186i
\(69\) 2.45916 + 0.250865i 0.296048 + 0.0302006i
\(70\) −0.412961 + 1.62989i −0.0493583 + 0.194810i
\(71\) −2.67680 1.54545i −0.317678 0.183412i 0.332679 0.943040i \(-0.392047\pi\)
−0.650357 + 0.759629i \(0.725381\pi\)
\(72\) 2.78837 + 1.10678i 0.328613 + 0.130435i
\(73\) −11.5451 + 6.66557i −1.35125 + 0.780146i −0.988425 0.151710i \(-0.951522\pi\)
−0.362827 + 0.931856i \(0.618189\pi\)
\(74\) 0.129663 0.356246i 0.0150730 0.0414128i
\(75\) 7.65902 + 2.17086i 0.884388 + 0.250669i
\(76\) 2.64485 3.15200i 0.303385 0.361560i
\(77\) −8.61721 + 12.6714i −0.982022 + 1.44404i
\(78\) −0.387227 + 0.800135i −0.0438448 + 0.0905975i
\(79\) −0.238325 1.35161i −0.0268136 0.152068i 0.968461 0.249164i \(-0.0801557\pi\)
−0.995275 + 0.0970961i \(0.969045\pi\)
\(80\) 0.635508 0.0710520
\(81\) −2.07029 + 8.75865i −0.230032 + 0.973183i
\(82\) 5.05158i 0.557854i
\(83\) −1.33547 7.57382i −0.146587 0.831334i −0.966079 0.258245i \(-0.916856\pi\)
0.819493 0.573090i \(-0.194255\pi\)
\(84\) 4.51354 0.792416i 0.492468 0.0864597i
\(85\) −1.99111 + 0.724706i −0.215966 + 0.0786054i
\(86\) −5.89787 + 7.02881i −0.635984 + 0.757936i
\(87\) 1.47363 5.19913i 0.157990 0.557405i
\(88\) 5.44259 + 1.98094i 0.580182 + 0.211169i
\(89\) −2.08703 3.61484i −0.221225 0.383172i 0.733955 0.679198i \(-0.237672\pi\)
−0.955180 + 0.296025i \(0.904339\pi\)
\(90\) 0.276882 + 1.88631i 0.0291859 + 0.198835i
\(91\) 0.136801 + 1.35092i 0.0143407 + 0.141615i
\(92\) −0.917363 1.09327i −0.0956417 0.113981i
\(93\) 12.4157 + 1.26655i 1.28745 + 0.131336i
\(94\) −5.49047 0.968119i −0.566299 0.0998538i
\(95\) 2.57517 + 0.454071i 0.264207 + 0.0465867i
\(96\) −0.709325 1.58014i −0.0723952 0.161273i
\(97\) 11.4055 + 13.5925i 1.15805 + 1.38011i 0.911662 + 0.410941i \(0.134800\pi\)
0.246389 + 0.969171i \(0.420756\pi\)
\(98\) 5.23745 4.64426i 0.529062 0.469141i
\(99\) −3.50856 + 17.0177i −0.352623 + 1.71035i
\(100\) −2.29806 3.98036i −0.229806 0.398036i
\(101\) −17.2906 6.29325i −1.72048 0.626202i −0.722595 0.691272i \(-0.757051\pi\)
−0.997881 + 0.0650697i \(0.979273\pi\)
\(102\) 4.02432 + 4.14187i 0.398467 + 0.410107i
\(103\) −9.45121 + 11.2635i −0.931255 + 1.10983i 0.0624778 + 0.998046i \(0.480100\pi\)
−0.993733 + 0.111780i \(0.964345\pi\)
\(104\) 0.482262 0.175529i 0.0472897 0.0172120i
\(105\) 1.87032 + 2.23231i 0.182524 + 0.217851i
\(106\) 0.669225 + 3.79536i 0.0650009 + 0.368638i
\(107\) 1.98291i 0.191695i 0.995396 + 0.0958475i \(0.0305561\pi\)
−0.995396 + 0.0958475i \(0.969444\pi\)
\(108\) 4.38113 2.79386i 0.421575 0.268840i
\(109\) 9.10407 0.872012 0.436006 0.899944i \(-0.356393\pi\)
0.436006 + 0.899944i \(0.356393\pi\)
\(110\) 0.639162 + 3.62487i 0.0609417 + 0.345618i
\(111\) −0.368850 0.543251i −0.0350097 0.0515631i
\(112\) −2.18779 1.48781i −0.206727 0.140585i
\(113\) 12.8426 15.3052i 1.20813 1.43979i 0.342204 0.939626i \(-0.388827\pi\)
0.865928 0.500169i \(-0.166729\pi\)
\(114\) −1.74527 6.90978i −0.163459 0.647160i
\(115\) 0.310203 0.852277i 0.0289266 0.0794752i
\(116\) −2.70197 + 1.55998i −0.250872 + 0.144841i
\(117\) 0.731119 + 1.35497i 0.0675920 + 0.125267i
\(118\) 3.23109 + 1.86547i 0.297446 + 0.171731i
\(119\) 8.55121 + 2.16659i 0.783888 + 0.198611i
\(120\) 0.644267 0.892486i 0.0588133 0.0814725i
\(121\) −3.91506 + 22.2034i −0.355914 + 2.01849i
\(122\) −0.442597 + 2.51009i −0.0400708 + 0.227253i
\(123\) −7.09427 5.12121i −0.639669 0.461764i
\(124\) −4.63154 5.51965i −0.415925 0.495680i
\(125\) 3.04921 5.28138i 0.272730 0.472381i
\(126\) 3.46291 7.14201i 0.308501 0.636260i
\(127\) −7.02060 12.1600i −0.622978 1.07903i −0.988928 0.148395i \(-0.952589\pi\)
0.365951 0.930634i \(-0.380744\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 3.89186 + 15.4085i 0.342659 + 1.35664i
\(130\) 0.249846 + 0.209646i 0.0219129 + 0.0183871i
\(131\) −2.64877 + 0.964074i −0.231424 + 0.0842315i −0.455129 0.890425i \(-0.650407\pi\)
0.223705 + 0.974657i \(0.428185\pi\)
\(132\) 8.29957 5.63515i 0.722385 0.490477i
\(133\) −7.80219 7.59198i −0.676536 0.658308i
\(134\) 7.87703i 0.680472i
\(135\) 2.92977 + 1.52347i 0.252154 + 0.131119i
\(136\) 3.33418i 0.285904i
\(137\) −16.1337 + 2.84480i −1.37839 + 0.243048i −0.813235 0.581935i \(-0.802296\pi\)
−0.565157 + 0.824983i \(0.691185\pi\)
\(138\) −2.46536 + 0.179975i −0.209865 + 0.0153205i
\(139\) −4.76880 13.1022i −0.404484 1.11131i −0.960047 0.279837i \(-0.909719\pi\)
0.555563 0.831474i \(-0.312503\pi\)
\(140\) 0.123659 1.67684i 0.0104511 0.141719i
\(141\) −6.92574 + 6.72917i −0.583253 + 0.566699i
\(142\) 2.90450 + 1.05715i 0.243740 + 0.0887143i
\(143\) 1.48623 + 2.57423i 0.124285 + 0.215268i
\(144\) −2.93820 0.605771i −0.244850 0.0504809i
\(145\) −1.71712 0.991381i −0.142599 0.0823297i
\(146\) 10.2122 8.56909i 0.845171 0.709183i
\(147\) −1.21260 12.0636i −0.100013 0.994986i
\(148\) −0.0658317 + 0.373350i −0.00541133 + 0.0306892i
\(149\) 21.7811 + 3.84060i 1.78438 + 0.314634i 0.965708 0.259629i \(-0.0836004\pi\)
0.818671 + 0.574263i \(0.194711\pi\)
\(150\) −7.91963 0.807901i −0.646635 0.0659649i
\(151\) 8.15215 6.84046i 0.663412 0.556669i −0.247695 0.968838i \(-0.579673\pi\)
0.911107 + 0.412169i \(0.135229\pi\)
\(152\) −2.05732 + 3.56339i −0.166871 + 0.289029i
\(153\) 9.89649 1.45266i 0.800084 0.117440i
\(154\) 6.28592 13.9753i 0.506534 1.12616i
\(155\) 1.56614 4.30294i 0.125795 0.345620i
\(156\) 0.242402 0.855220i 0.0194077 0.0684724i
\(157\) −6.16172 + 7.34326i −0.491759 + 0.586056i −0.953664 0.300874i \(-0.902722\pi\)
0.461905 + 0.886929i \(0.347166\pi\)
\(158\) 0.469408 + 1.28969i 0.0373441 + 0.102602i
\(159\) 6.00853 + 2.90784i 0.476507 + 0.230607i
\(160\) −0.625853 + 0.110355i −0.0494780 + 0.00872431i
\(161\) −3.06319 + 2.20781i −0.241413 + 0.174000i
\(162\) 0.517911 8.98509i 0.0406910 0.705935i
\(163\) −11.0908 −0.868699 −0.434350 0.900744i \(-0.643022\pi\)
−0.434350 + 0.900744i \(0.643022\pi\)
\(164\) 0.877198 + 4.97484i 0.0684976 + 0.388469i
\(165\) 5.73862 + 2.77721i 0.446751 + 0.216206i
\(166\) 2.63036 + 7.22685i 0.204155 + 0.560913i
\(167\) 16.7437 + 14.0496i 1.29567 + 1.08719i 0.990876 + 0.134775i \(0.0430312\pi\)
0.304791 + 0.952419i \(0.401413\pi\)
\(168\) −4.30737 + 1.56415i −0.332321 + 0.120677i
\(169\) −11.9685 4.35618i −0.920654 0.335091i
\(170\) 1.83502 1.05945i 0.140740 0.0812560i
\(171\) −11.4732 4.55402i −0.877376 0.348255i
\(172\) 4.58773 7.94618i 0.349811 0.605891i
\(173\) 15.6285 13.1139i 1.18821 0.997030i 0.188325 0.982107i \(-0.439694\pi\)
0.999889 0.0149227i \(-0.00475023\pi\)
\(174\) −0.548423 + 5.37604i −0.0415758 + 0.407556i
\(175\) −10.9497 + 5.28913i −0.827720 + 0.399821i
\(176\) −5.70389 1.00575i −0.429947 0.0758113i
\(177\) 5.89543 2.64645i 0.443128 0.198920i
\(178\) 2.68303 + 3.19751i 0.201102 + 0.239664i
\(179\) −13.4545 7.76794i −1.00563 0.580603i −0.0957240 0.995408i \(-0.530517\pi\)
−0.909911 + 0.414805i \(0.863850\pi\)
\(180\) −0.600230 1.80957i −0.0447385 0.134878i
\(181\) 5.90948 3.41184i 0.439248 0.253600i −0.264030 0.964514i \(-0.585052\pi\)
0.703279 + 0.710914i \(0.251719\pi\)
\(182\) −0.369308 1.30664i −0.0273749 0.0968549i
\(183\) 3.07639 + 3.16625i 0.227413 + 0.234056i
\(184\) 1.09327 + 0.917363i 0.0805970 + 0.0676289i
\(185\) −0.226397 + 0.0824019i −0.0166451 + 0.00605831i
\(186\) −12.4470 + 0.908647i −0.912658 + 0.0666252i
\(187\) 19.0178 3.35335i 1.39072 0.245221i
\(188\) 5.57517 0.406611
\(189\) −6.51935 12.1036i −0.474213 0.880410i
\(190\) −2.61489 −0.189704
\(191\) −15.6102 + 2.75250i −1.12951 + 0.199164i −0.707015 0.707199i \(-0.749959\pi\)
−0.422500 + 0.906363i \(0.638847\pi\)
\(192\) 0.972938 + 1.43297i 0.0702158 + 0.103415i
\(193\) 10.2343 3.72497i 0.736679 0.268129i 0.0536896 0.998558i \(-0.482902\pi\)
0.682989 + 0.730429i \(0.260680\pi\)
\(194\) −13.5925 11.4055i −0.975886 0.818866i
\(195\) 0.547708 0.138340i 0.0392222 0.00990673i
\(196\) −4.35142 + 5.48317i −0.310815 + 0.391655i
\(197\) 19.7320 11.3923i 1.40585 0.811667i 0.410864 0.911697i \(-0.365227\pi\)
0.994984 + 0.100030i \(0.0318938\pi\)
\(198\) 0.500154 17.3685i 0.0355444 1.23432i
\(199\) 9.06480 + 5.23356i 0.642586 + 0.370997i 0.785610 0.618722i \(-0.212349\pi\)
−0.143024 + 0.989719i \(0.545683\pi\)
\(200\) 2.95434 + 3.52084i 0.208903 + 0.248961i
\(201\) −11.0622 7.98560i −0.780270 0.563261i
\(202\) 18.1207 + 3.19517i 1.27497 + 0.224811i
\(203\) 3.59039 + 7.43292i 0.251996 + 0.521689i
\(204\) −4.68241 3.38013i −0.327834 0.236657i
\(205\) −2.45925 + 2.06355i −0.171761 + 0.144125i
\(206\) 7.35173 12.7336i 0.512220 0.887190i
\(207\) −2.24659 + 3.64472i −0.156149 + 0.253326i
\(208\) −0.444455 + 0.256606i −0.0308174 + 0.0177924i
\(209\) −22.3944 8.15088i −1.54905 0.563808i
\(210\) −2.22954 1.87362i −0.153853 0.129292i
\(211\) −7.28487 6.11273i −0.501511 0.420818i 0.356619 0.934250i \(-0.383929\pi\)
−0.858130 + 0.513432i \(0.828374\pi\)
\(212\) −1.31812 3.62149i −0.0905286 0.248725i
\(213\) 4.42916 3.00726i 0.303481 0.206054i
\(214\) −0.344329 1.95278i −0.0235378 0.133490i
\(215\) 5.83108 0.397676
\(216\) −3.82942 + 3.51219i −0.260559 + 0.238975i
\(217\) −15.4653 + 11.1467i −1.04985 + 0.756686i
\(218\) −8.96576 + 1.58091i −0.607238 + 0.107072i
\(219\) −1.68114 23.0289i −0.113601 1.55615i
\(220\) −1.25890 3.45881i −0.0848753 0.233193i
\(221\) 1.09990 1.31081i 0.0739873 0.0881747i
\(222\) 0.457581 + 0.470948i 0.0307108 + 0.0316079i
\(223\) −8.69071 + 23.8775i −0.581973 + 1.59896i 0.202830 + 0.979214i \(0.434986\pi\)
−0.784804 + 0.619745i \(0.787236\pi\)
\(224\) 2.41291 + 1.08530i 0.161219 + 0.0725145i
\(225\) −9.16337 + 10.3030i −0.610892 + 0.686868i
\(226\) −9.98978 + 17.3028i −0.664510 + 1.15097i
\(227\) 8.24824 6.92110i 0.547455 0.459369i −0.326623 0.945155i \(-0.605911\pi\)
0.874078 + 0.485785i \(0.161466\pi\)
\(228\) 2.91862 + 6.50174i 0.193291 + 0.430588i
\(229\) 11.3312 + 1.99800i 0.748788 + 0.132032i 0.535004 0.844849i \(-0.320310\pi\)
0.213784 + 0.976881i \(0.431421\pi\)
\(230\) −0.157494 + 0.893195i −0.0103849 + 0.0588955i
\(231\) −13.2539 22.9956i −0.872040 1.51300i
\(232\) 2.39003 2.00547i 0.156913 0.131666i
\(233\) 10.9246 + 6.30731i 0.715694 + 0.413206i 0.813166 0.582032i \(-0.197742\pi\)
−0.0974721 + 0.995238i \(0.531076\pi\)
\(234\) −0.955300 1.20743i −0.0624499 0.0789321i
\(235\) 1.77153 + 3.06839i 0.115562 + 0.200159i
\(236\) −3.50594 1.27606i −0.228217 0.0830643i
\(237\) 2.28707 + 0.648242i 0.148561 + 0.0421079i
\(238\) −8.79752 0.648776i −0.570259 0.0420539i
\(239\) 5.39158 + 14.8133i 0.348753 + 0.958190i 0.982764 + 0.184866i \(0.0591851\pi\)
−0.634011 + 0.773324i \(0.718593\pi\)
\(240\) −0.479501 + 0.990803i −0.0309516 + 0.0639561i
\(241\) 10.2809 1.81281i 0.662254 0.116773i 0.167589 0.985857i \(-0.446402\pi\)
0.494665 + 0.869084i \(0.335291\pi\)
\(242\) 22.5459i 1.44931i
\(243\) −12.0933 9.83626i −0.775786 0.630997i
\(244\) 2.54881i 0.163171i
\(245\) −4.40043 0.652571i −0.281133 0.0416913i
\(246\) 7.87578 + 3.81150i 0.502141 + 0.243012i
\(247\) −1.98434 + 0.722240i −0.126260 + 0.0459550i
\(248\) 5.51965 + 4.63154i 0.350498 + 0.294103i
\(249\) 12.8158 + 3.63247i 0.812166 + 0.230199i
\(250\) −2.08578 + 5.73064i −0.131916 + 0.362437i
\(251\) −2.66950 4.62370i −0.168497 0.291846i 0.769395 0.638774i \(-0.220558\pi\)
−0.937892 + 0.346928i \(0.887225\pi\)
\(252\) −2.17010 + 7.63483i −0.136704 + 0.480949i
\(253\) −4.13298 + 7.15854i −0.259838 + 0.450053i
\(254\) 9.02551 + 10.7562i 0.566311 + 0.674903i
\(255\) 0.372457 3.65109i 0.0233242 0.228640i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 3.11009 17.6382i 0.194002 1.10024i −0.719831 0.694149i \(-0.755781\pi\)
0.913833 0.406090i \(-0.133108\pi\)
\(258\) −6.50839 14.4986i −0.405194 0.902641i
\(259\) 0.972306 + 0.246350i 0.0604162 + 0.0153075i
\(260\) −0.282455 0.163075i −0.0175171 0.0101135i
\(261\) 6.99394 + 6.22032i 0.432914 + 0.385028i
\(262\) 2.44112 1.40938i 0.150813 0.0870719i
\(263\) 1.75653 4.82602i 0.108312 0.297585i −0.873682 0.486498i \(-0.838274\pi\)
0.981994 + 0.188913i \(0.0604964\pi\)
\(264\) −7.19495 + 6.99074i −0.442819 + 0.430250i
\(265\) 1.57431 1.87619i 0.0967092 0.115253i
\(266\) 9.00199 + 6.12180i 0.551948 + 0.375352i
\(267\) 7.21049 0.526376i 0.441275 0.0322137i
\(268\) 1.36783 + 7.75736i 0.0835536 + 0.473856i
\(269\) 18.0618 1.10125 0.550624 0.834754i \(-0.314390\pi\)
0.550624 + 0.834754i \(0.314390\pi\)
\(270\) −3.14981 0.991572i −0.191691 0.0603452i
\(271\) 9.13586i 0.554964i −0.960731 0.277482i \(-0.910500\pi\)
0.960731 0.277482i \(-0.0894999\pi\)
\(272\) 0.578974 + 3.28353i 0.0351055 + 0.199093i
\(273\) −2.20941 0.806010i −0.133719 0.0487819i
\(274\) 15.3946 5.60316i 0.930020 0.338500i
\(275\) −17.1112 + 20.3923i −1.03184 + 1.22970i
\(276\) 2.39665 0.605345i 0.144262 0.0364375i
\(277\) 26.8186 + 9.76116i 1.61137 + 0.586492i 0.981711 0.190378i \(-0.0609714\pi\)
0.629661 + 0.776870i \(0.283194\pi\)
\(278\) 6.97152 + 12.0750i 0.418124 + 0.724212i
\(279\) −11.3425 + 18.4013i −0.679056 + 1.10166i
\(280\) 0.169400 + 1.67284i 0.0101236 + 0.0999714i
\(281\) 3.73499 + 4.45119i 0.222811 + 0.265536i 0.865857 0.500292i \(-0.166774\pi\)
−0.643046 + 0.765828i \(0.722330\pi\)
\(282\) 5.65202 7.82959i 0.336573 0.466245i
\(283\) 22.8862 + 4.03545i 1.36044 + 0.239883i 0.805791 0.592200i \(-0.201740\pi\)
0.554652 + 0.832083i \(0.312851\pi\)
\(284\) −3.04395 0.536730i −0.180625 0.0318491i
\(285\) −2.65093 + 3.67227i −0.157028 + 0.217526i
\(286\) −1.91066 2.27704i −0.112980 0.134644i
\(287\) 13.2972 1.34654i 0.784910 0.0794839i
\(288\) 2.99876 + 0.0863543i 0.176703 + 0.00508848i
\(289\) 2.94162 + 5.09504i 0.173037 + 0.299708i
\(290\) 1.86319 + 0.678145i 0.109410 + 0.0398220i
\(291\) −29.7973 + 7.52620i −1.74675 + 0.441194i
\(292\) −8.56909 + 10.2122i −0.501468 + 0.597626i
\(293\) 15.6864 5.70937i 0.916407 0.333545i 0.159599 0.987182i \(-0.448980\pi\)
0.756808 + 0.653637i \(0.226758\pi\)
\(294\) 3.28899 + 11.6697i 0.191818 + 0.680592i
\(295\) −0.411727 2.33502i −0.0239717 0.135950i
\(296\) 0.379109i 0.0220353i
\(297\) −23.8846 18.3102i −1.38593 1.06247i
\(298\) −22.1171 −1.28121
\(299\) 0.127186 + 0.721310i 0.00735538 + 0.0417145i
\(300\) 7.93960 0.579602i 0.458393 0.0334633i
\(301\) −20.0740 13.6513i −1.15705 0.786849i
\(302\) −6.84046 + 8.15215i −0.393624 + 0.469103i
\(303\) 22.8576 22.2089i 1.31314 1.27587i
\(304\) 1.40729 3.86651i 0.0807138 0.221759i
\(305\) 1.40278 0.809895i 0.0803229 0.0463745i
\(306\) −9.49389 + 3.14909i −0.542730 + 0.180022i
\(307\) −3.43942 1.98575i −0.196298 0.113333i 0.398630 0.917112i \(-0.369486\pi\)
−0.594928 + 0.803779i \(0.702819\pi\)
\(308\) −3.76364 + 14.8545i −0.214453 + 0.846414i
\(309\) −10.4295 23.2336i −0.593316 1.32171i
\(310\) −0.795150 + 4.50952i −0.0451615 + 0.256124i
\(311\) 0.777795 4.41110i 0.0441047 0.250130i −0.954782 0.297307i \(-0.903911\pi\)
0.998887 + 0.0471771i \(0.0150225\pi\)
\(312\) −0.0902117 + 0.884320i −0.00510723 + 0.0500648i
\(313\) 13.5703 + 16.1725i 0.767039 + 0.914122i 0.998271 0.0587768i \(-0.0187200\pi\)
−0.231232 + 0.972899i \(0.574276\pi\)
\(314\) 4.79297 8.30167i 0.270483 0.468490i
\(315\) −4.89151 + 1.23165i −0.275605 + 0.0693954i
\(316\) −0.686228 1.18858i −0.0386034 0.0668630i
\(317\) −4.74188 + 13.0282i −0.266331 + 0.731737i 0.732376 + 0.680900i \(0.238411\pi\)
−0.998707 + 0.0508372i \(0.983811\pi\)
\(318\) −6.42219 1.82029i −0.360138 0.102077i
\(319\) 13.8428 + 11.6155i 0.775047 + 0.650342i
\(320\) 0.597182 0.217357i 0.0333835 0.0121506i
\(321\) −3.09150 1.49614i −0.172551 0.0835061i
\(322\) 2.63327 2.70619i 0.146747 0.150810i
\(323\) 13.7190i 0.763344i
\(324\) 1.05020 + 8.93852i 0.0583445 + 0.496584i
\(325\) 2.35879i 0.130842i
\(326\) 10.9223 1.92590i 0.604931 0.106666i
\(327\) −6.86916 + 14.1939i −0.379866 + 0.784925i
\(328\) −1.72774 4.74693i −0.0953986 0.262106i
\(329\) 1.08484 14.7106i 0.0598089 0.811020i
\(330\) −6.13369 1.73852i −0.337649 0.0957024i
\(331\) −0.858086 0.312318i −0.0471647 0.0171665i 0.318330 0.947980i \(-0.396878\pi\)
−0.365495 + 0.930813i \(0.619100\pi\)
\(332\) −3.84533 6.66030i −0.211040 0.365532i
\(333\) 1.12527 0.165173i 0.0616644 0.00905141i
\(334\) −18.9290 10.9287i −1.03575 0.597991i
\(335\) −3.83475 + 3.21774i −0.209515 + 0.175804i
\(336\) 3.97032 2.28835i 0.216599 0.124840i
\(337\) −1.72863 + 9.80357i −0.0941647 + 0.534035i 0.900835 + 0.434161i \(0.142955\pi\)
−0.995000 + 0.0998738i \(0.968156\pi\)
\(338\) 12.5431 + 2.21169i 0.682256 + 0.120300i
\(339\) 14.1720 + 31.5706i 0.769718 + 1.71468i
\(340\) −1.62317 + 1.36200i −0.0880287 + 0.0738649i
\(341\) −20.8664 + 36.1417i −1.12998 + 1.95718i
\(342\) 12.0897 + 2.49254i 0.653735 + 0.134781i
\(343\) 13.6211 + 12.5485i 0.735471 + 0.677556i
\(344\) −3.13819 + 8.62211i −0.169200 + 0.464873i
\(345\) 1.09471 + 1.12669i 0.0589371 + 0.0606587i
\(346\) −13.1139 + 15.6285i −0.705006 + 0.840194i
\(347\) −4.67022 12.8313i −0.250710 0.688821i −0.999657 0.0261909i \(-0.991662\pi\)
0.748946 0.662631i \(-0.230560\pi\)
\(348\) −0.393448 5.38960i −0.0210910 0.288913i
\(349\) −11.1326 + 1.96297i −0.595912 + 0.105075i −0.463466 0.886115i \(-0.653394\pi\)
−0.132446 + 0.991190i \(0.542283\pi\)
\(350\) 9.86490 7.11017i 0.527301 0.380055i
\(351\) −2.66414 + 0.117520i −0.142201 + 0.00627277i
\(352\) 5.79188 0.308708
\(353\) 3.50744 + 19.8917i 0.186682 + 1.05873i 0.923775 + 0.382935i \(0.125087\pi\)
−0.737093 + 0.675791i \(0.763802\pi\)
\(354\) −5.34631 + 3.62998i −0.284153 + 0.192931i
\(355\) −0.671829 1.84583i −0.0356570 0.0979667i
\(356\) −3.19751 2.68303i −0.169468 0.142200i
\(357\) −9.82989 + 11.6972i −0.520253 + 0.619083i
\(358\) 14.5990 + 5.31359i 0.771579 + 0.280832i
\(359\) 0.0633911 0.0365989i 0.00334566 0.00193162i −0.498326 0.866990i \(-0.666052\pi\)
0.501672 + 0.865058i \(0.332718\pi\)
\(360\) 0.905341 + 1.67785i 0.0477156 + 0.0884307i
\(361\) −1.03483 + 1.79238i −0.0544648 + 0.0943359i
\(362\) −5.22724 + 4.38618i −0.274738 + 0.230532i
\(363\) −31.6627 22.8567i −1.66186 1.19966i
\(364\) 0.590594 + 1.22266i 0.0309555 + 0.0640850i
\(365\) −8.34334 1.47116i −0.436710 0.0770038i
\(366\) −3.57947 2.58394i −0.187102 0.135065i
\(367\) −19.7388 23.5238i −1.03036 1.22793i −0.973295 0.229559i \(-0.926271\pi\)
−0.0570611 0.998371i \(-0.518173\pi\)
\(368\) −1.23596 0.713582i −0.0644289 0.0371980i
\(369\) 13.3371 7.19645i 0.694300 0.374632i
\(370\) 0.208649 0.120464i 0.0108471 0.00626260i
\(371\) −9.81211 + 2.77328i −0.509419 + 0.143982i
\(372\) 12.1001 3.05624i 0.627361 0.158459i
\(373\) −23.4944 19.7142i −1.21650 1.02076i −0.999000 0.0446993i \(-0.985767\pi\)
−0.217495 0.976061i \(-0.569789\pi\)
\(374\) −18.1466 + 6.60481i −0.938337 + 0.341527i
\(375\) 5.93338 + 8.73882i 0.306399 + 0.451271i
\(376\) −5.49047 + 0.968119i −0.283150 + 0.0499269i
\(377\) 1.60120 0.0824662
\(378\) 8.52208 + 10.7877i 0.438329 + 0.554859i
\(379\) 10.9028 0.560038 0.280019 0.959995i \(-0.409659\pi\)
0.280019 + 0.959995i \(0.409659\pi\)
\(380\) 2.57517 0.454071i 0.132103 0.0232934i
\(381\) 24.2555 1.77069i 1.24265 0.0907150i
\(382\) 14.8951 5.42137i 0.762099 0.277381i
\(383\) 4.68369 + 3.93008i 0.239325 + 0.200818i 0.754559 0.656232i \(-0.227851\pi\)
−0.515234 + 0.857049i \(0.672295\pi\)
\(384\) −1.20699 1.24225i −0.0615939 0.0633931i
\(385\) −9.37133 + 2.64870i −0.477607 + 0.134990i
\(386\) −9.43195 + 5.44554i −0.480074 + 0.277171i
\(387\) −26.9594 5.55823i −1.37042 0.282541i
\(388\) 15.3666 + 8.87189i 0.780119 + 0.450402i
\(389\) −11.8344 14.1037i −0.600027 0.715084i 0.377473 0.926021i \(-0.376793\pi\)
−0.977500 + 0.210937i \(0.932349\pi\)
\(390\) −0.515365 + 0.231347i −0.0260965 + 0.0117147i
\(391\) 4.68613 + 0.826291i 0.236988 + 0.0417873i
\(392\) 3.33316 6.15549i 0.168350 0.310899i
\(393\) 0.495478 4.85703i 0.0249936 0.245005i
\(394\) −17.4540 + 14.6456i −0.879320 + 0.737837i
\(395\) 0.436104 0.755353i 0.0219428 0.0380060i
\(396\) 2.52344 + 17.1914i 0.126808 + 0.863902i
\(397\) −24.3764 + 14.0737i −1.22342 + 0.706340i −0.965645 0.259866i \(-0.916322\pi\)
−0.257772 + 0.966206i \(0.582988\pi\)
\(398\) −9.83588 3.57997i −0.493028 0.179448i
\(399\) 17.7233 6.43591i 0.887276 0.322199i
\(400\) −3.52084 2.95434i −0.176042 0.147717i
\(401\) −10.3696 28.4901i −0.517831 1.42273i −0.872905 0.487891i \(-0.837766\pi\)
0.355074 0.934838i \(-0.384456\pi\)
\(402\) 12.2809 + 5.94334i 0.612513 + 0.296427i
\(403\) 0.642133 + 3.64172i 0.0319869 + 0.181407i
\(404\) −18.4002 −0.915446
\(405\) −4.58575 + 3.41824i −0.227868 + 0.169854i
\(406\) −4.82656 6.69654i −0.239538 0.332344i
\(407\) 2.16240 0.381289i 0.107186 0.0188998i
\(408\) 5.19823 + 2.51569i 0.257351 + 0.124545i
\(409\) 3.44095 + 9.45394i 0.170144 + 0.467467i 0.995232 0.0975374i \(-0.0310966\pi\)
−0.825088 + 0.565005i \(0.808874\pi\)
\(410\) 2.06355 2.45925i 0.101912 0.121454i
\(411\) 7.73785 27.3000i 0.381680 1.34661i
\(412\) −5.02888 + 13.8167i −0.247755 + 0.680702i
\(413\) −4.04919 + 9.00242i −0.199247 + 0.442980i
\(414\) 1.57956 3.97947i 0.0776311 0.195580i
\(415\) 2.44374 4.23268i 0.119958 0.207774i
\(416\) 0.393143 0.329886i 0.0192754 0.0161740i
\(417\) 24.0254 + 2.45089i 1.17653 + 0.120021i
\(418\) 23.4695 + 4.13831i 1.14793 + 0.202411i
\(419\) −4.20764 + 23.8627i −0.205556 + 1.16577i 0.691005 + 0.722850i \(0.257168\pi\)
−0.896562 + 0.442919i \(0.853943\pi\)
\(420\) 2.52102 + 1.45800i 0.123013 + 0.0711430i
\(421\) 0.481683 0.404180i 0.0234758 0.0196985i −0.630974 0.775804i \(-0.717345\pi\)
0.654450 + 0.756105i \(0.272900\pi\)
\(422\) 8.23566 + 4.75486i 0.400905 + 0.231463i
\(423\) −5.26569 15.8750i −0.256027 0.771869i
\(424\) 1.92696 + 3.33759i 0.0935813 + 0.162088i
\(425\) 14.4002 + 5.24123i 0.698510 + 0.254237i
\(426\) −3.83967 + 3.73069i −0.186033 + 0.180753i
\(427\) −6.72526 0.495956i −0.325458 0.0240010i
\(428\) 0.678195 + 1.86332i 0.0327818 + 0.0900672i
\(429\) −5.13480 + 0.374847i −0.247910 + 0.0180978i
\(430\) −5.74249 + 1.01256i −0.276928 + 0.0488298i
\(431\) 2.89765i 0.139575i 0.997562 + 0.0697875i \(0.0222321\pi\)
−0.997562 + 0.0697875i \(0.977768\pi\)
\(432\) 3.16136 4.12381i 0.152101 0.198407i
\(433\) 5.77940i 0.277740i −0.990311 0.138870i \(-0.955653\pi\)
0.990311 0.138870i \(-0.0443471\pi\)
\(434\) 13.2948 13.6629i 0.638168 0.655838i
\(435\) 2.84123 1.92911i 0.136227 0.0924936i
\(436\) 8.55503 3.11378i 0.409712 0.149123i
\(437\) −4.49842 3.77463i −0.215189 0.180565i
\(438\) 5.65453 + 22.3871i 0.270184 + 1.06970i
\(439\) 12.9832 35.6709i 0.619652 1.70248i −0.0881850 0.996104i \(-0.528107\pi\)
0.707837 0.706376i \(-0.249671\pi\)
\(440\) 1.84039 + 3.18766i 0.0877374 + 0.151966i
\(441\) 19.7229 + 7.21162i 0.939185 + 0.343410i
\(442\) −0.855571 + 1.48189i −0.0406954 + 0.0704864i
\(443\) 1.51019 + 1.79977i 0.0717512 + 0.0855097i 0.800726 0.599031i \(-0.204447\pi\)
−0.728975 + 0.684541i \(0.760003\pi\)
\(444\) −0.532408 0.384335i −0.0252670 0.0182397i
\(445\) 0.460627 2.61235i 0.0218358 0.123837i
\(446\) 4.41239 25.0239i 0.208933 1.18492i
\(447\) −22.4220 + 31.0605i −1.06052 + 1.46911i
\(448\) −2.56471 0.649813i −0.121171 0.0307008i
\(449\) 7.90828 + 4.56585i 0.373215 + 0.215476i 0.674862 0.737944i \(-0.264203\pi\)
−0.301647 + 0.953420i \(0.597536\pi\)
\(450\) 7.23506 11.7377i 0.341064 0.553320i
\(451\) 25.3383 14.6291i 1.19314 0.688857i
\(452\) 6.83341 18.7746i 0.321417 0.883085i
\(453\) 4.51386 + 17.8710i 0.212079 + 0.839654i
\(454\) −6.92110 + 8.24824i −0.324823 + 0.387109i
\(455\) −0.485249 + 0.713549i −0.0227488 + 0.0334517i
\(456\) −4.00330 5.89615i −0.187472 0.276113i
\(457\) −4.03573 22.8878i −0.188783 1.07064i −0.920997 0.389569i \(-0.872624\pi\)
0.732214 0.681075i \(-0.238487\pi\)
\(458\) −11.5060 −0.537641
\(459\) −5.20226 + 16.5254i −0.242821 + 0.771340i
\(460\) 0.906974i 0.0422879i
\(461\) −4.45849 25.2853i −0.207652 1.17766i −0.893211 0.449638i \(-0.851553\pi\)
0.685559 0.728017i \(-0.259558\pi\)
\(462\) 17.0457 + 20.3448i 0.793036 + 0.946525i
\(463\) 24.6191 8.96061i 1.14415 0.416435i 0.300737 0.953707i \(-0.402767\pi\)
0.843409 + 0.537272i \(0.180545\pi\)
\(464\) −2.00547 + 2.39003i −0.0931018 + 0.110954i
\(465\) 5.52691 + 5.68836i 0.256304 + 0.263791i
\(466\) −11.8539 4.31446i −0.549120 0.199863i
\(467\) −3.89959 6.75429i −0.180452 0.312551i 0.761583 0.648068i \(-0.224423\pi\)
−0.942034 + 0.335516i \(0.891089\pi\)
\(468\) 1.15045 + 1.02320i 0.0531798 + 0.0472974i
\(469\) 20.7346 2.09969i 0.957436 0.0969546i
\(470\) −2.27744 2.71415i −0.105050 0.125194i
\(471\) −6.79955 15.1472i −0.313307 0.697945i
\(472\) 3.67426 + 0.647871i 0.169122 + 0.0298207i
\(473\) −52.3358 9.22822i −2.40640 0.424314i
\(474\) −2.36489 0.241248i −0.108623 0.0110809i
\(475\) −12.1561 14.4870i −0.557758 0.664710i
\(476\) 8.77652 0.888754i 0.402271 0.0407360i
\(477\) −9.06706 + 7.17372i −0.415152 + 0.328462i
\(478\) −7.88197 13.6520i −0.360513 0.624426i
\(479\) 37.5764 + 13.6767i 1.71691 + 0.624903i 0.997564 0.0697511i \(-0.0222205\pi\)
0.719344 + 0.694655i \(0.244443\pi\)
\(480\) 0.300165 1.05901i 0.0137006 0.0483372i
\(481\) 0.125063 0.149044i 0.00570239 0.00679584i
\(482\) −9.80996 + 3.57053i −0.446831 + 0.162633i
\(483\) −1.13091 6.44156i −0.0514581 0.293101i
\(484\) 3.91506 + 22.2034i 0.177957 + 1.00925i
\(485\) 11.2763i 0.512031i
\(486\) 13.6176 + 7.58685i 0.617708 + 0.344146i
\(487\) 33.9761 1.53961 0.769803 0.638282i \(-0.220355\pi\)
0.769803 + 0.638282i \(0.220355\pi\)
\(488\) 0.442597 + 2.51009i 0.0200354 + 0.113626i
\(489\) 8.36819 17.2914i 0.378422 0.781943i
\(490\) 4.44690 0.121470i 0.200890 0.00548744i
\(491\) 10.8839 12.9710i 0.491185 0.585371i −0.462334 0.886706i \(-0.652988\pi\)
0.953518 + 0.301335i \(0.0974322\pi\)
\(492\) −8.41799 2.38598i −0.379512 0.107568i
\(493\) 3.55787 9.77517i 0.160239 0.440252i
\(494\) 1.82878 1.05584i 0.0822805 0.0475047i
\(495\) −8.65975 + 6.85147i −0.389227 + 0.307951i
\(496\) −6.24006 3.60270i −0.280187 0.161766i
\(497\) −2.00851 + 7.92728i −0.0900940 + 0.355587i
\(498\) −13.2518 1.35185i −0.593829 0.0605780i
\(499\) 2.91424 16.5275i 0.130459 0.739872i −0.847455 0.530867i \(-0.821866\pi\)
0.977915 0.209005i \(-0.0670225\pi\)
\(500\) 1.05898 6.00577i 0.0473590 0.268586i
\(501\) −34.5378 + 15.5040i −1.54304 + 0.692667i
\(502\) 3.43184 + 4.08991i 0.153170 + 0.182541i
\(503\) −16.1195 + 27.9198i −0.718734 + 1.24488i 0.242768 + 0.970084i \(0.421945\pi\)
−0.961502 + 0.274799i \(0.911389\pi\)
\(504\) 0.811362 7.89568i 0.0361409 0.351701i
\(505\) −5.84675 10.1269i −0.260177 0.450640i
\(506\) 2.82713 7.76747i 0.125681 0.345306i
\(507\) 15.8220 15.3730i 0.702680 0.682737i
\(508\) −10.7562 9.02551i −0.477229 0.400442i
\(509\) 27.2666 9.92421i 1.20857 0.439883i 0.342362 0.939568i \(-0.388773\pi\)
0.866207 + 0.499685i \(0.166551\pi\)
\(510\) 0.267207 + 3.66030i 0.0118321 + 0.162081i
\(511\) 25.2785 + 24.5974i 1.11825 + 1.08813i
\(512\) 1.00000i 0.0441942i
\(513\) 15.7567 14.4514i 0.695677 0.638047i
\(514\) 17.9103i 0.789989i
\(515\) −9.20221 + 1.62260i −0.405498 + 0.0715002i
\(516\) 8.92716 + 13.1481i 0.392996 + 0.578814i
\(517\) −11.0441 30.3434i −0.485719 1.33450i
\(518\) −1.00031 0.0737684i −0.0439512 0.00324120i
\(519\) 8.65353 + 34.2606i 0.379848 + 1.50387i
\(520\) 0.306481 + 0.111550i 0.0134401 + 0.00489179i
\(521\) −10.9353 18.9406i −0.479086 0.829801i 0.520626 0.853785i \(-0.325698\pi\)
−0.999712 + 0.0239834i \(0.992365\pi\)
\(522\) −7.96784 4.91133i −0.348743 0.214963i
\(523\) −34.5237 19.9323i −1.50961 0.871576i −0.999937 0.0112110i \(-0.996431\pi\)
−0.509678 0.860365i \(-0.670235\pi\)
\(524\) −2.15930 + 1.81187i −0.0943294 + 0.0791517i
\(525\) 0.0155855 21.0621i 0.000680207 0.919226i
\(526\) −0.891812 + 5.05772i −0.0388849 + 0.220527i
\(527\) 23.6591 + 4.17174i 1.03061 + 0.181724i
\(528\) 5.87171 8.13393i 0.255534 0.353984i
\(529\) 16.0587 13.4749i 0.698206 0.585865i
\(530\) −1.22460 + 2.12106i −0.0531931 + 0.0921331i
\(531\) −0.322183 + 11.1882i −0.0139816 + 0.485526i
\(532\) −9.92827 4.46562i −0.430445 0.193609i
\(533\) 0.886699 2.43618i 0.0384072 0.105523i
\(534\) −7.00955 + 1.77047i −0.303333 + 0.0766156i
\(535\) −0.810012 + 0.965334i −0.0350199 + 0.0417350i
\(536\) −2.69410 7.40199i −0.116368 0.319717i
\(537\) 22.2624 15.1155i 0.960693 0.652280i
\(538\) −17.7874 + 3.13640i −0.766869 + 0.135220i
\(539\) 38.4626 + 12.8211i 1.65670 + 0.552245i
\(540\) 3.27414 + 0.429550i 0.140897 + 0.0184849i
\(541\) −12.4848 −0.536763 −0.268382 0.963313i \(-0.586489\pi\)
−0.268382 + 0.963313i \(0.586489\pi\)
\(542\) 1.58643 + 8.99706i 0.0681428 + 0.386457i
\(543\) 0.860510 + 11.7876i 0.0369280 + 0.505854i
\(544\) −1.14036 3.13310i −0.0488924 0.134331i
\(545\) 4.43211 + 3.71898i 0.189851 + 0.159304i
\(546\) 2.31580 + 0.410105i 0.0991072 + 0.0175509i
\(547\) −8.02394 2.92048i −0.343079 0.124871i 0.164734 0.986338i \(-0.447324\pi\)
−0.507813 + 0.861468i \(0.669546\pi\)
\(548\) −14.1877 + 8.19128i −0.606069 + 0.349914i
\(549\) −7.25760 + 2.40732i −0.309747 + 0.102742i
\(550\) 13.3101 23.0538i 0.567546 0.983018i
\(551\) −9.83414 + 8.25182i −0.418949 + 0.351540i
\(552\) −2.25512 + 1.01232i −0.0959845 + 0.0430873i
\(553\) −3.26970 + 1.57939i −0.139042 + 0.0671627i
\(554\) −28.1062 4.95587i −1.19412 0.210555i
\(555\) 0.0423498 0.415143i 0.00179765 0.0176219i
\(556\) −8.96241 10.6810i −0.380091 0.452975i
\(557\) −12.2712 7.08480i −0.519949 0.300193i 0.216965 0.976179i \(-0.430384\pi\)
−0.736914 + 0.675987i \(0.763718\pi\)
\(558\) 7.97480 20.0913i 0.337600 0.850535i
\(559\) −4.07808 + 2.35448i −0.172484 + 0.0995839i
\(560\) −0.457312 1.61801i −0.0193250 0.0683734i
\(561\) −9.12111 + 32.1803i −0.385094 + 1.35865i
\(562\) −4.45119 3.73499i −0.187762 0.157551i
\(563\) 4.30657 1.56746i 0.181500 0.0660607i −0.249671 0.968331i \(-0.580323\pi\)
0.431172 + 0.902270i \(0.358100\pi\)
\(564\) −4.20656 + 8.69210i −0.177128 + 0.366003i
\(565\) 12.5043 2.20484i 0.526059 0.0927583i
\(566\) −23.2392 −0.976819
\(567\) 23.7894 1.03176i 0.999061 0.0433298i
\(568\) 3.09091 0.129692
\(569\) 34.0499 6.00391i 1.42744 0.251697i 0.594073 0.804411i \(-0.297519\pi\)
0.833371 + 0.552714i \(0.186408\pi\)
\(570\) 1.97298 4.07681i 0.0826389 0.170759i
\(571\) 18.2532 6.64362i 0.763872 0.278027i 0.0694413 0.997586i \(-0.477878\pi\)
0.694431 + 0.719559i \(0.255656\pi\)
\(572\) 2.27704 + 1.91066i 0.0952079 + 0.0798889i
\(573\) 7.48680 26.4142i 0.312765 1.10347i
\(574\) −12.8614 + 3.63512i −0.536824 + 0.151727i
\(575\) −5.68063 + 3.27971i −0.236899 + 0.136774i
\(576\) −2.96819 + 0.435686i −0.123675 + 0.0181536i
\(577\) −13.5159 7.80342i −0.562675 0.324860i 0.191544 0.981484i \(-0.438651\pi\)
−0.754218 + 0.656624i \(0.771984\pi\)
\(578\) −3.78168 4.50683i −0.157297 0.187459i
\(579\) −1.91442 + 18.7665i −0.0795605 + 0.779910i
\(580\) −1.95264 0.344303i −0.0810790 0.0142964i
\(581\) −18.3220 + 8.85025i −0.760126 + 0.367170i
\(582\) 28.0377 12.5861i 1.16220 0.521711i
\(583\) −17.0992 + 14.3479i −0.708177 + 0.594231i
\(584\) 6.66557 11.5451i 0.275823 0.477740i
\(585\) −0.197573 + 0.958297i −0.00816862 + 0.0396207i
\(586\) −14.4566 + 8.34654i −0.597198 + 0.344792i
\(587\) −20.1730 7.34238i −0.832630 0.303053i −0.109692 0.993966i \(-0.534987\pi\)
−0.722938 + 0.690913i \(0.757209\pi\)
\(588\) −5.26545 10.9213i −0.217144 0.450387i
\(589\) −22.7114 19.0572i −0.935809 0.785237i
\(590\) 0.810945 + 2.22805i 0.0333861 + 0.0917275i
\(591\) 2.87328 + 39.3593i 0.118191 + 1.61903i
\(592\) 0.0658317 + 0.373350i 0.00270566 + 0.0153446i
\(593\) −48.5176 −1.99238 −0.996189 0.0872183i \(-0.972202\pi\)
−0.996189 + 0.0872183i \(0.972202\pi\)
\(594\) 26.7013 + 13.8845i 1.09557 + 0.569690i
\(595\) 3.27792 + 4.54790i 0.134381 + 0.186446i
\(596\) 21.7811 3.84060i 0.892189 0.157317i
\(597\) −14.9990 + 10.1839i −0.613870 + 0.416798i
\(598\) −0.250508 0.688266i −0.0102441 0.0281453i
\(599\) 14.5703 17.3642i 0.595327 0.709483i −0.381293 0.924454i \(-0.624521\pi\)
0.976620 + 0.214971i \(0.0689657\pi\)
\(600\) −7.71833 + 1.94949i −0.315100 + 0.0795877i
\(601\) −6.19093 + 17.0094i −0.252533 + 0.693829i 0.747045 + 0.664774i \(0.231472\pi\)
−0.999578 + 0.0290552i \(0.990750\pi\)
\(602\) 22.1395 + 9.95811i 0.902341 + 0.405862i
\(603\) 20.7967 11.2216i 0.846909 0.456977i
\(604\) 5.32094 9.21613i 0.216506 0.374999i
\(605\) −10.9760 + 9.20994i −0.446237 + 0.374437i
\(606\) −18.6538 + 25.8407i −0.757761 + 1.04971i
\(607\) 20.1947 + 3.56086i 0.819676 + 0.144531i 0.567735 0.823211i \(-0.307820\pi\)
0.251941 + 0.967743i \(0.418931\pi\)
\(608\) −0.714501 + 4.05214i −0.0289769 + 0.164336i
\(609\) −14.2975 0.0105798i −0.579363 0.000428716i
\(610\) −1.24083 + 1.04118i −0.0502398 + 0.0421562i
\(611\) −2.47791 1.43062i −0.100246 0.0578768i
\(612\) 8.80282 4.74985i 0.355833 0.192001i
\(613\) 20.5244 + 35.5492i 0.828971 + 1.43582i 0.898846 + 0.438265i \(0.144407\pi\)
−0.0698747 + 0.997556i \(0.522260\pi\)
\(614\) 3.73199 + 1.35833i 0.150611 + 0.0548178i
\(615\) −1.36169 5.39113i −0.0549086 0.217391i
\(616\) 1.12700 15.2824i 0.0454083 0.615745i
\(617\) −9.04615 24.8541i −0.364184 1.00059i −0.977534 0.210777i \(-0.932401\pi\)
0.613350 0.789811i \(-0.289822\pi\)
\(618\) 14.3056 + 21.0696i 0.575454 + 0.847542i
\(619\) −22.7108 + 4.00453i −0.912824 + 0.160956i −0.610286 0.792182i \(-0.708945\pi\)
−0.302539 + 0.953137i \(0.597834\pi\)
\(620\) 4.57909i 0.183901i
\(621\) −3.98730 6.25259i −0.160005 0.250908i
\(622\) 4.47914i 0.179597i
\(623\) −7.70160 + 7.91484i −0.308558 + 0.317102i
\(624\) −0.0647194 0.886551i −0.00259085 0.0354904i
\(625\) −17.9529 + 6.53431i −0.718115 + 0.261373i
\(626\) −16.1725 13.5703i −0.646382 0.542379i
\(627\) 29.6047 28.7644i 1.18230 1.14874i
\(628\) −3.27858 + 9.00784i −0.130830 + 0.359452i
\(629\) −0.632009 1.09467i −0.0251999 0.0436475i
\(630\) 4.60333 2.06234i 0.183401 0.0821655i
\(631\) −8.92423 + 15.4572i −0.355268 + 0.615343i −0.987164 0.159711i \(-0.948944\pi\)
0.631896 + 0.775053i \(0.282277\pi\)
\(632\) 0.882198 + 1.05136i 0.0350920 + 0.0418210i
\(633\) 15.0267 6.74548i 0.597259 0.268109i
\(634\) 2.40752 13.6537i 0.0956147 0.542258i
\(635\) 1.54951 8.78773i 0.0614906 0.348731i
\(636\) 6.64071 + 0.677436i 0.263321 + 0.0268621i
\(637\) 3.34102 1.32042i 0.132376 0.0523171i
\(638\) −15.6495 9.03524i −0.619569 0.357709i
\(639\) 1.34667 + 9.17441i 0.0532733 + 0.362934i
\(640\) −0.550366 + 0.317754i −0.0217551 + 0.0125603i
\(641\) −2.07231 + 5.69363i −0.0818514 + 0.224885i −0.973867 0.227120i \(-0.927069\pi\)
0.892015 + 0.452005i \(0.149291\pi\)
\(642\) 3.30433 + 0.936573i 0.130412 + 0.0369636i
\(643\) 2.10930 2.51377i 0.0831827 0.0991333i −0.722848 0.691007i \(-0.757167\pi\)
0.806031 + 0.591874i \(0.201612\pi\)
\(644\) −2.12334 + 3.12234i −0.0836715 + 0.123037i
\(645\) −4.39964 + 9.09107i −0.173236 + 0.357961i
\(646\) −2.38228 13.5106i −0.0937294 0.531566i
\(647\) −4.11102 −0.161621 −0.0808105 0.996729i \(-0.525751\pi\)
−0.0808105 + 0.996729i \(0.525751\pi\)
\(648\) −2.58640 8.62035i −0.101604 0.338640i
\(649\) 21.6092i 0.848235i
\(650\) −0.409600 2.32295i −0.0160658 0.0911138i
\(651\) −5.70967 32.5219i −0.223780 1.27463i
\(652\) −10.4219 + 3.79328i −0.408155 + 0.148556i
\(653\) −7.45623 + 8.88599i −0.291785 + 0.347736i −0.891945 0.452144i \(-0.850659\pi\)
0.600160 + 0.799880i \(0.295104\pi\)
\(654\) 4.30006 15.1711i 0.168146 0.593236i
\(655\) −1.68332 0.612677i −0.0657726 0.0239393i
\(656\) 2.52579 + 4.37480i 0.0986156 + 0.170807i
\(657\) 37.1722 + 14.7547i 1.45023 + 0.575634i
\(658\) 1.48611 + 14.6755i 0.0579346 + 0.572109i
\(659\) −1.35660 1.61674i −0.0528458 0.0629791i 0.738974 0.673734i \(-0.235311\pi\)
−0.791820 + 0.610755i \(0.790866\pi\)
\(660\) 6.34240 + 0.647004i 0.246878 + 0.0251846i
\(661\) 9.69896 + 1.71019i 0.377246 + 0.0665186i 0.359056 0.933316i \(-0.383099\pi\)
0.0181896 + 0.999835i \(0.494210\pi\)
\(662\) 0.899283 + 0.158568i 0.0349516 + 0.00616291i
\(663\) 1.21376 + 2.70385i 0.0471384 + 0.105009i
\(664\) 4.94346 + 5.89138i 0.191843 + 0.228630i
\(665\) −0.697022 6.88315i −0.0270293 0.266917i
\(666\) −1.07949 + 0.358065i −0.0418295 + 0.0138747i
\(667\) 2.22635 + 3.85615i 0.0862046 + 0.149311i
\(668\) 20.5392 + 7.47566i 0.794686 + 0.289242i
\(669\) −30.6695 31.5654i −1.18575 1.22039i
\(670\) 3.21774 3.83475i 0.124312 0.148149i
\(671\) −13.8721 + 5.04905i −0.535528 + 0.194916i
\(672\) −3.51264 + 2.94302i −0.135503 + 0.113530i
\(673\) −3.66938 20.8101i −0.141444 0.802169i −0.970154 0.242490i \(-0.922036\pi\)
0.828710 0.559679i \(-0.189075\pi\)
\(674\) 9.95481i 0.383445i
\(675\) −9.14925 22.0602i −0.352155 0.849096i
\(676\) −12.7366 −0.489870
\(677\) 3.60031 + 20.4184i 0.138371 + 0.784743i 0.972453 + 0.233101i \(0.0748873\pi\)
−0.834081 + 0.551642i \(0.814002\pi\)
\(678\) −19.4389 28.6300i −0.746546 1.09953i
\(679\) 26.3993 38.8197i 1.01311 1.48976i
\(680\) 1.36200 1.62317i 0.0522304 0.0622457i
\(681\) 4.56706 + 18.0817i 0.175010 + 0.692892i
\(682\) 14.2735 39.2160i 0.546559 1.50166i
\(683\) −20.8519 + 12.0389i −0.797877 + 0.460654i −0.842728 0.538339i \(-0.819052\pi\)
0.0448513 + 0.998994i \(0.485719\pi\)
\(684\) −12.3388 0.355318i −0.471787 0.0135859i
\(685\) −9.01640 5.20562i −0.344499 0.198897i
\(686\) −15.5932 9.99260i −0.595351 0.381519i
\(687\) −11.6646 + 16.1587i −0.445032 + 0.616492i
\(688\) 1.59330 9.03606i 0.0607441 0.344497i
\(689\) −0.343455 + 1.94783i −0.0130846 + 0.0742063i
\(690\) −1.27372 0.919475i −0.0484898 0.0350038i
\(691\) −8.80297 10.4910i −0.334881 0.399095i 0.572157 0.820144i \(-0.306107\pi\)
−0.907038 + 0.421049i \(0.861662\pi\)
\(692\) 10.2008 17.6683i 0.387776 0.671647i
\(693\) 45.8521 3.31316i 1.74178 0.125856i
\(694\) 6.82740 + 11.8254i 0.259165 + 0.448886i
\(695\) 3.03061 8.32654i 0.114958 0.315843i
\(696\) 1.32336 + 5.23939i 0.0501620 + 0.198599i
\(697\) −12.9024 10.8264i −0.488713 0.410079i
\(698\) 10.6226 3.86630i 0.402070 0.146342i
\(699\) −18.0763 + 12.2733i −0.683710 + 0.464217i
\(700\) −8.48036 + 8.71517i −0.320528 + 0.329403i
\(701\) 3.27800i 0.123808i 0.998082 + 0.0619042i \(0.0197173\pi\)
−0.998082 + 0.0619042i \(0.980283\pi\)
\(702\) 2.60326 0.578358i 0.0982536 0.0218287i
\(703\) 1.55990i 0.0588328i
\(704\) −5.70389 + 1.00575i −0.214974 + 0.0379056i
\(705\) −6.12049 + 0.446804i −0.230511 + 0.0168276i
\(706\) −6.90830 18.9804i −0.259997 0.714337i
\(707\) −3.58038 + 48.5506i −0.134654 + 1.82593i
\(708\) 4.63475 4.50321i 0.174185 0.169241i
\(709\) 3.87481 + 1.41031i 0.145521 + 0.0529655i 0.413754 0.910389i \(-0.364217\pi\)
−0.268233 + 0.963354i \(0.586440\pi\)
\(710\) 0.982148 + 1.70113i 0.0368594 + 0.0638423i
\(711\) −2.73629 + 3.07660i −0.102619 + 0.115381i
\(712\) 3.61484 + 2.08703i 0.135472 + 0.0782147i
\(713\) −7.87745 + 6.60996i −0.295013 + 0.247545i
\(714\) 7.64935 13.2265i 0.286270 0.494988i
\(715\) −0.328026 + 1.86033i −0.0122675 + 0.0695723i
\(716\) −15.2999 2.69778i −0.571783 0.100821i
\(717\) −27.1630 2.77096i −1.01442 0.103483i
\(718\) −0.0560727 + 0.0470506i −0.00209262 + 0.00175591i
\(719\) −8.74299 + 15.1433i −0.326059 + 0.564750i −0.981726 0.190300i \(-0.939054\pi\)
0.655668 + 0.755050i \(0.272387\pi\)
\(720\) −1.18294 1.49515i −0.0440857 0.0557210i
\(721\) 35.4781 + 15.9576i 1.32127 + 0.594294i
\(722\) 0.707867 1.94485i 0.0263441 0.0723797i
\(723\) −4.93083 + 17.3965i −0.183380 + 0.646984i
\(724\) 4.38618 5.22724i 0.163011 0.194269i
\(725\) 4.90449 + 13.4750i 0.182148 + 0.500448i
\(726\) 35.1507 + 17.0113i 1.30457 + 0.631347i
\(727\) −36.7468 + 6.47944i −1.36286 + 0.240309i −0.806797 0.590829i \(-0.798801\pi\)
−0.556065 + 0.831139i \(0.687690\pi\)
\(728\) −0.793935 1.10153i −0.0294252 0.0408255i
\(729\) 24.4600 11.4327i 0.905927 0.423434i
\(730\) 8.47205 0.313565
\(731\) 5.31235 + 30.1279i 0.196485 + 1.11432i
\(732\) 3.97378 + 1.92312i 0.146875 + 0.0710805i
\(733\) −3.33963 9.17556i −0.123352 0.338907i 0.862612 0.505867i \(-0.168827\pi\)
−0.985964 + 0.166960i \(0.946605\pi\)
\(734\) 23.5238 + 19.7388i 0.868278 + 0.728572i
\(735\) 4.33760 6.36822i 0.159995 0.234895i
\(736\) 1.34109 + 0.488119i 0.0494334 + 0.0179923i
\(737\) 39.5105 22.8114i 1.45539 0.840270i
\(738\) −11.8848 + 9.40308i −0.437485 + 0.346132i
\(739\) 13.3646 23.1482i 0.491624 0.851518i −0.508329 0.861163i \(-0.669737\pi\)
0.999953 + 0.00964443i \(0.00306997\pi\)
\(740\) −0.184561 + 0.154865i −0.00678459 + 0.00569295i
\(741\) 0.371190 3.63867i 0.0136360 0.133670i
\(742\) 9.18147 4.43500i 0.337062 0.162814i
\(743\) 11.1754 + 1.97053i 0.409986 + 0.0722916i 0.374838 0.927090i \(-0.377698\pi\)
0.0351486 + 0.999382i \(0.488810\pi\)
\(744\) −11.3856 + 5.11097i −0.417415 + 0.187377i
\(745\) 9.03477 + 10.7672i 0.331009 + 0.394481i
\(746\) 26.5608 + 15.3349i 0.972461 + 0.561450i
\(747\) −15.3330 + 17.2399i −0.561004 + 0.630776i
\(748\) 16.7240 9.65559i 0.611489 0.353043i
\(749\) 5.04851 1.42690i 0.184468 0.0521379i
\(750\) −7.36072 7.57574i −0.268776 0.276627i
\(751\) 12.2746 + 10.2996i 0.447906 + 0.375837i 0.838658 0.544658i \(-0.183341\pi\)
−0.390752 + 0.920496i \(0.627785\pi\)
\(752\) 5.23895 1.90682i 0.191045 0.0695346i
\(753\) 9.22287 0.673282i 0.336100 0.0245358i
\(754\) −1.57688 + 0.278046i −0.0574265 + 0.0101258i
\(755\) 6.76300 0.246131
\(756\) −10.2659 9.14395i −0.373366 0.332562i
\(757\) 42.1339 1.53138 0.765691 0.643209i \(-0.222397\pi\)
0.765691 + 0.643209i \(0.222397\pi\)
\(758\) −10.7371 + 1.89325i −0.389990 + 0.0687658i
\(759\) −8.04228 11.8448i −0.291916 0.429941i
\(760\) −2.45720 + 0.894346i −0.0891318 + 0.0324413i
\(761\) −31.5496 26.4733i −1.14367 0.959656i −0.144121 0.989560i \(-0.546035\pi\)
−0.999553 + 0.0299041i \(0.990480\pi\)
\(762\) −23.5796 + 5.95571i −0.854197 + 0.215753i
\(763\) −6.55130 23.1791i −0.237173 0.839139i
\(764\) −13.7274 + 7.92551i −0.496639 + 0.286735i
\(765\) 5.41129 + 3.33549i 0.195646 + 0.120595i
\(766\) −5.29498 3.05706i −0.191315 0.110456i
\(767\) 1.23079 + 1.46680i 0.0444412 + 0.0529629i
\(768\) 1.40437 + 1.01378i 0.0506757 + 0.0365817i
\(769\)