Properties

Label 483.2.y.b.4.6
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.765883 + 1.07553i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.0839437 + 0.242539i) q^{4} +(-0.0355806 + 0.746929i) q^{5} +(0.864651 + 0.997860i) q^{6} +(-2.58720 + 0.553515i) q^{7} +(-2.85890 - 0.839448i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-0.765883 + 1.07553i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.0839437 + 0.242539i) q^{4} +(-0.0355806 + 0.746929i) q^{5} +(0.864651 + 0.997860i) q^{6} +(-2.58720 + 0.553515i) q^{7} +(-2.85890 - 0.839448i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-0.776095 - 0.610328i) q^{10} +(-2.96822 - 4.16828i) q^{11} +(0.255493 - 0.0243966i) q^{12} +(0.287414 - 1.99901i) q^{13} +(1.38617 - 3.20655i) q^{14} +(0.717485 + 0.210673i) q^{15} +(2.68894 - 2.11461i) q^{16} +(2.11552 - 0.407732i) q^{17} +(1.17358 - 0.605023i) q^{18} +(-3.04600 - 0.587069i) q^{19} +(-0.184146 + 0.0540702i) q^{20} +(-0.0720445 + 2.64477i) q^{21} +6.75642 q^{22} +(-4.50172 - 1.65364i) q^{23} +(-1.48980 + 2.58040i) q^{24} +(4.42072 + 0.422128i) q^{25} +(1.92987 + 1.84013i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-0.351428 - 0.581035i) q^{28} +(-2.40197 - 2.77202i) q^{29} +(-0.776095 + 0.610328i) q^{30} +(-3.06362 + 2.92116i) q^{31} +(-0.0686360 - 1.44085i) q^{32} +(-4.75057 + 1.90184i) q^{33} +(-1.18171 + 2.58758i) q^{34} +(-0.321382 - 1.95215i) q^{35} +(0.0365258 - 0.254043i) q^{36} +(7.72948 + 3.98483i) q^{37} +(2.96429 - 2.82645i) q^{38} +(-1.87490 - 0.750595i) q^{39} +(0.728729 - 2.10552i) q^{40} +(-9.28182 - 5.96507i) q^{41} +(-2.78936 - 2.10307i) q^{42} +(-5.97029 + 1.75304i) q^{43} +(0.761809 - 1.06981i) q^{44} +(0.373888 - 0.647593i) q^{45} +(5.22633 - 3.57524i) q^{46} +(-0.132826 - 0.230061i) q^{47} +(-1.42106 - 3.11169i) q^{48} +(6.38724 - 2.86411i) q^{49} +(-3.83977 + 4.43133i) q^{50} +(0.102513 - 2.15201i) q^{51} +(0.508964 - 0.0980948i) q^{52} +(-4.05771 - 1.62446i) q^{53} +(-0.311286 - 1.28314i) q^{54} +(3.21902 - 2.06874i) q^{55} +(7.86120 + 0.589382i) q^{56} +(-1.28864 + 2.82174i) q^{57} +(4.82102 - 0.460352i) q^{58} +(1.74817 + 1.37478i) q^{59} +(0.00913194 + 0.191703i) q^{60} +(-2.38098 - 9.81455i) q^{61} +(-0.795423 - 5.53229i) q^{62} +(2.55323 + 0.693542i) q^{63} +(7.35779 + 4.72857i) q^{64} +(1.48289 + 0.285803i) q^{65} +(1.59289 - 6.56597i) q^{66} +(-14.2086 - 1.35676i) q^{67} +(0.276475 + 0.478869i) q^{68} +(-2.66835 + 3.98496i) q^{69} +(2.34574 + 1.14946i) q^{70} +(4.17788 + 9.14829i) q^{71} +(2.15643 + 2.05615i) q^{72} +(4.17596 + 12.0656i) q^{73} +(-10.2057 + 5.26140i) q^{74} +(1.45245 - 4.19659i) q^{75} +(-0.113305 - 0.788057i) q^{76} +(9.98659 + 9.14124i) q^{77} +(2.24324 - 1.44164i) q^{78} +(10.5711 - 4.23201i) q^{79} +(1.48379 + 2.08369i) q^{80} +(0.580057 + 0.814576i) q^{81} +(13.5244 - 5.41436i) q^{82} +(-12.2977 + 7.90324i) q^{83} +(-0.647508 + 0.204538i) q^{84} +(0.229276 + 1.59465i) q^{85} +(2.68710 - 7.76386i) q^{86} +(-3.26017 + 1.68073i) q^{87} +(4.98678 + 14.4084i) q^{88} +(-7.48235 - 7.13440i) q^{89} +(0.410152 + 0.898108i) q^{90} +(0.362881 + 5.33092i) q^{91} +(0.0231828 - 1.23066i) q^{92} +(2.11654 + 3.66596i) q^{93} +(0.349167 + 0.0333414i) q^{94} +(0.546877 - 2.25426i) q^{95} +(-1.41641 - 0.272991i) q^{96} +(-8.81239 - 5.66338i) q^{97} +(-1.81144 + 9.06325i) q^{98} +(0.728242 + 5.06503i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.765883 + 1.07553i −0.541561 + 0.760516i −0.991154 0.132718i \(-0.957630\pi\)
0.449593 + 0.893234i \(0.351569\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) 0.0839437 + 0.242539i 0.0419718 + 0.121270i
\(5\) −0.0355806 + 0.746929i −0.0159121 + 0.334037i 0.976849 + 0.213930i \(0.0686266\pi\)
−0.992761 + 0.120106i \(0.961676\pi\)
\(6\) 0.864651 + 0.997860i 0.352992 + 0.407375i
\(7\) −2.58720 + 0.553515i −0.977871 + 0.209209i
\(8\) −2.85890 0.839448i −1.01077 0.296790i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −0.776095 0.610328i −0.245423 0.193003i
\(11\) −2.96822 4.16828i −0.894952 1.25678i −0.965798 0.259296i \(-0.916509\pi\)
0.0708462 0.997487i \(-0.477430\pi\)
\(12\) 0.255493 0.0243966i 0.0737545 0.00704270i
\(13\) 0.287414 1.99901i 0.0797142 0.554424i −0.910353 0.413832i \(-0.864190\pi\)
0.990068 0.140593i \(-0.0449008\pi\)
\(14\) 1.38617 3.20655i 0.370470 0.856986i
\(15\) 0.717485 + 0.210673i 0.185254 + 0.0543955i
\(16\) 2.68894 2.11461i 0.672236 0.528652i
\(17\) 2.11552 0.407732i 0.513088 0.0988896i 0.0738661 0.997268i \(-0.476466\pi\)
0.439222 + 0.898379i \(0.355254\pi\)
\(18\) 1.17358 0.605023i 0.276616 0.142605i
\(19\) −3.04600 0.587069i −0.698801 0.134683i −0.172536 0.985003i \(-0.555196\pi\)
−0.526265 + 0.850320i \(0.676408\pi\)
\(20\) −0.184146 + 0.0540702i −0.0411764 + 0.0120905i
\(21\) −0.0720445 + 2.64477i −0.0157214 + 0.577136i
\(22\) 6.75642 1.44047
\(23\) −4.50172 1.65364i −0.938673 0.344808i
\(24\) −1.48980 + 2.58040i −0.304103 + 0.526722i
\(25\) 4.42072 + 0.422128i 0.884145 + 0.0844256i
\(26\) 1.92987 + 1.84013i 0.378478 + 0.360878i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −0.351428 0.581035i −0.0664137 0.109805i
\(29\) −2.40197 2.77202i −0.446035 0.514751i 0.487556 0.873091i \(-0.337888\pi\)
−0.933591 + 0.358340i \(0.883343\pi\)
\(30\) −0.776095 + 0.610328i −0.141695 + 0.111430i
\(31\) −3.06362 + 2.92116i −0.550243 + 0.524656i −0.913395 0.407074i \(-0.866549\pi\)
0.363152 + 0.931730i \(0.381701\pi\)
\(32\) −0.0686360 1.44085i −0.0121332 0.254708i
\(33\) −4.75057 + 1.90184i −0.826967 + 0.331068i
\(34\) −1.18171 + 2.58758i −0.202661 + 0.443766i
\(35\) −0.321382 1.95215i −0.0543234 0.329974i
\(36\) 0.0365258 0.254043i 0.00608764 0.0423405i
\(37\) 7.72948 + 3.98483i 1.27072 + 0.655101i 0.955800 0.294017i \(-0.0949923\pi\)
0.314919 + 0.949119i \(0.398023\pi\)
\(38\) 2.96429 2.82645i 0.480872 0.458510i
\(39\) −1.87490 0.750595i −0.300224 0.120191i
\(40\) 0.728729 2.10552i 0.115222 0.332913i
\(41\) −9.28182 5.96507i −1.44958 0.931587i −0.999250 0.0387233i \(-0.987671\pi\)
−0.450327 0.892864i \(-0.648693\pi\)
\(42\) −2.78936 2.10307i −0.430407 0.324511i
\(43\) −5.97029 + 1.75304i −0.910461 + 0.267335i −0.703235 0.710958i \(-0.748262\pi\)
−0.207226 + 0.978293i \(0.566444\pi\)
\(44\) 0.761809 1.06981i 0.114847 0.161280i
\(45\) 0.373888 0.647593i 0.0557359 0.0965374i
\(46\) 5.22633 3.57524i 0.770581 0.527141i
\(47\) −0.132826 0.230061i −0.0193747 0.0335579i 0.856176 0.516685i \(-0.172834\pi\)
−0.875550 + 0.483127i \(0.839501\pi\)
\(48\) −1.42106 3.11169i −0.205112 0.449133i
\(49\) 6.38724 2.86411i 0.912463 0.409159i
\(50\) −3.83977 + 4.43133i −0.543025 + 0.626684i
\(51\) 0.102513 2.15201i 0.0143547 0.301342i
\(52\) 0.508964 0.0980948i 0.0705806 0.0136033i
\(53\) −4.05771 1.62446i −0.557369 0.223137i 0.0758370 0.997120i \(-0.475837\pi\)
−0.633206 + 0.773983i \(0.718261\pi\)
\(54\) −0.311286 1.28314i −0.0423607 0.174613i
\(55\) 3.21902 2.06874i 0.434052 0.278948i
\(56\) 7.86120 + 0.589382i 1.05050 + 0.0787594i
\(57\) −1.28864 + 2.82174i −0.170685 + 0.373748i
\(58\) 4.82102 0.460352i 0.633032 0.0604472i
\(59\) 1.74817 + 1.37478i 0.227593 + 0.178981i 0.725443 0.688282i \(-0.241635\pi\)
−0.497851 + 0.867263i \(0.665877\pi\)
\(60\) 0.00913194 + 0.191703i 0.00117893 + 0.0247488i
\(61\) −2.38098 9.81455i −0.304854 1.25662i −0.893805 0.448456i \(-0.851974\pi\)
0.588951 0.808169i \(-0.299541\pi\)
\(62\) −0.795423 5.53229i −0.101019 0.702602i
\(63\) 2.55323 + 0.693542i 0.321677 + 0.0873781i
\(64\) 7.35779 + 4.72857i 0.919724 + 0.591071i
\(65\) 1.48289 + 0.285803i 0.183930 + 0.0354495i
\(66\) 1.59289 6.56597i 0.196071 0.808215i
\(67\) −14.2086 1.35676i −1.73586 0.165755i −0.821379 0.570383i \(-0.806795\pi\)
−0.914481 + 0.404628i \(0.867401\pi\)
\(68\) 0.276475 + 0.478869i 0.0335276 + 0.0580714i
\(69\) −2.66835 + 3.98496i −0.321232 + 0.479733i
\(70\) 2.34574 + 1.14946i 0.280370 + 0.137387i
\(71\) 4.17788 + 9.14829i 0.495824 + 1.08570i 0.977804 + 0.209520i \(0.0671902\pi\)
−0.481981 + 0.876182i \(0.660082\pi\)
\(72\) 2.15643 + 2.05615i 0.254138 + 0.242320i
\(73\) 4.17596 + 12.0656i 0.488759 + 1.41218i 0.872445 + 0.488713i \(0.162533\pi\)
−0.383686 + 0.923464i \(0.625345\pi\)
\(74\) −10.2057 + 5.26140i −1.18639 + 0.611625i
\(75\) 1.45245 4.19659i 0.167715 0.484580i
\(76\) −0.113305 0.788057i −0.0129970 0.0903963i
\(77\) 9.98659 + 9.14124i 1.13808 + 1.04174i
\(78\) 2.24324 1.44164i 0.253997 0.163234i
\(79\) 10.5711 4.23201i 1.18934 0.476139i 0.309264 0.950976i \(-0.399917\pi\)
0.880073 + 0.474838i \(0.157493\pi\)
\(80\) 1.48379 + 2.08369i 0.165893 + 0.232963i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 13.5244 5.41436i 1.49352 0.597916i
\(83\) −12.2977 + 7.90324i −1.34985 + 0.867493i −0.997656 0.0684355i \(-0.978199\pi\)
−0.352190 + 0.935929i \(0.614563\pi\)
\(84\) −0.647508 + 0.204538i −0.0706490 + 0.0223169i
\(85\) 0.229276 + 1.59465i 0.0248684 + 0.172964i
\(86\) 2.68710 7.76386i 0.289757 0.837198i
\(87\) −3.26017 + 1.68073i −0.349527 + 0.180194i
\(88\) 4.98678 + 14.4084i 0.531592 + 1.53594i
\(89\) −7.48235 7.13440i −0.793127 0.756245i 0.180699 0.983538i \(-0.442164\pi\)
−0.973826 + 0.227293i \(0.927012\pi\)
\(90\) 0.410152 + 0.898108i 0.0432338 + 0.0946689i
\(91\) 0.362881 + 5.33092i 0.0380403 + 0.558832i
\(92\) 0.0231828 1.23066i 0.00241697 0.128305i
\(93\) 2.11654 + 3.66596i 0.219475 + 0.380142i
\(94\) 0.349167 + 0.0333414i 0.0360139 + 0.00343891i
\(95\) 0.546877 2.25426i 0.0561084 0.231282i
\(96\) −1.41641 0.272991i −0.144562 0.0278621i
\(97\) −8.81239 5.66338i −0.894763 0.575029i 0.0104701 0.999945i \(-0.496667\pi\)
−0.905233 + 0.424916i \(0.860304\pi\)
\(98\) −1.81144 + 9.06325i −0.182983 + 0.915527i
\(99\) 0.728242 + 5.06503i 0.0731910 + 0.509055i
\(100\) 0.268709 + 1.10763i 0.0268709 + 0.110763i
\(101\) −0.709302 14.8901i −0.0705782 1.48162i −0.705317 0.708892i \(-0.749195\pi\)
0.634739 0.772726i \(-0.281108\pi\)
\(102\) 2.23604 + 1.75844i 0.221401 + 0.174112i
\(103\) −1.49438 + 0.142696i −0.147245 + 0.0140602i −0.168418 0.985716i \(-0.553866\pi\)
0.0211731 + 0.999776i \(0.493260\pi\)
\(104\) −2.49975 + 5.47368i −0.245120 + 0.536739i
\(105\) −1.97289 0.147915i −0.192534 0.0144350i
\(106\) 4.85489 3.12005i 0.471548 0.303046i
\(107\) 2.95573 + 12.1837i 0.285741 + 1.17784i 0.915910 + 0.401383i \(0.131470\pi\)
−0.630169 + 0.776458i \(0.717015\pi\)
\(108\) −0.238270 0.0953891i −0.0229276 0.00917882i
\(109\) −7.99313 + 1.54055i −0.765603 + 0.147558i −0.557079 0.830459i \(-0.688078\pi\)
−0.208524 + 0.978017i \(0.566866\pi\)
\(110\) −0.240398 + 5.04657i −0.0229210 + 0.481171i
\(111\) 5.69479 6.57214i 0.540526 0.623800i
\(112\) −5.78638 + 6.95929i −0.546761 + 0.657592i
\(113\) 6.96865 + 15.2592i 0.655556 + 1.43547i 0.886606 + 0.462525i \(0.153057\pi\)
−0.231050 + 0.972942i \(0.574216\pi\)
\(114\) −2.04792 3.54710i −0.191805 0.332216i
\(115\) 1.39533 3.30362i 0.130115 0.308065i
\(116\) 0.470694 0.815266i 0.0437028 0.0756955i
\(117\) −1.17146 + 1.64509i −0.108302 + 0.152088i
\(118\) −2.81751 + 0.827297i −0.259373 + 0.0761588i
\(119\) −5.24759 + 2.22586i −0.481045 + 0.204044i
\(120\) −1.87437 1.20458i −0.171106 0.109963i
\(121\) −4.96649 + 14.3497i −0.451499 + 1.30452i
\(122\) 12.3794 + 4.95597i 1.12078 + 0.448692i
\(123\) −7.98519 + 7.61387i −0.720001 + 0.686519i
\(124\) −0.965668 0.497836i −0.0867195 0.0447070i
\(125\) −1.00469 + 6.98777i −0.0898621 + 0.625005i
\(126\) −2.70140 + 2.21491i −0.240660 + 0.197320i
\(127\) 2.19948 4.81619i 0.195172 0.427367i −0.786591 0.617474i \(-0.788156\pi\)
0.981763 + 0.190107i \(0.0608834\pi\)
\(128\) −8.04263 + 3.21978i −0.710874 + 0.284591i
\(129\) 0.296071 + 6.21529i 0.0260676 + 0.547226i
\(130\) −1.44311 + 1.37600i −0.126569 + 0.120683i
\(131\) 6.07214 4.77519i 0.530526 0.417210i −0.316634 0.948548i \(-0.602553\pi\)
0.847160 + 0.531338i \(0.178310\pi\)
\(132\) −0.860051 0.992552i −0.0748578 0.0863905i
\(133\) 8.20558 0.167140i 0.711514 0.0144929i
\(134\) 12.3414 14.2427i 1.06613 1.23038i
\(135\) −0.541191 0.516024i −0.0465783 0.0444123i
\(136\) −6.39032 0.610201i −0.547965 0.0523243i
\(137\) 4.81526 8.34028i 0.411396 0.712558i −0.583647 0.812008i \(-0.698375\pi\)
0.995043 + 0.0994494i \(0.0317081\pi\)
\(138\) −2.24231 5.92191i −0.190878 0.504106i
\(139\) −9.97530 −0.846094 −0.423047 0.906108i \(-0.639039\pi\)
−0.423047 + 0.906108i \(0.639039\pi\)
\(140\) 0.446495 0.241818i 0.0377357 0.0204374i
\(141\) −0.254891 + 0.0748428i −0.0214657 + 0.00630290i
\(142\) −13.0390 2.51307i −1.09421 0.210892i
\(143\) −9.18552 + 4.73546i −0.768132 + 0.395999i
\(144\) −3.35900 + 0.647394i −0.279917 + 0.0539495i
\(145\) 2.15597 1.69547i 0.179043 0.140801i
\(146\) −16.1753 4.74949i −1.33868 0.393070i
\(147\) −1.27753 6.88244i −0.105369 0.567654i
\(148\) −0.317636 + 2.20920i −0.0261095 + 0.181595i
\(149\) 7.73511 0.738613i 0.633685 0.0605095i 0.226730 0.973958i \(-0.427197\pi\)
0.406955 + 0.913448i \(0.366591\pi\)
\(150\) 3.40116 + 4.77626i 0.277703 + 0.389980i
\(151\) 5.11448 + 4.02207i 0.416211 + 0.327312i 0.804207 0.594349i \(-0.202590\pi\)
−0.387996 + 0.921661i \(0.626833\pi\)
\(152\) 8.21540 + 4.23533i 0.666357 + 0.343531i
\(153\) −2.06718 0.606979i −0.167122 0.0490713i
\(154\) −17.4802 + 3.73978i −1.40860 + 0.301360i
\(155\) −2.07289 2.39225i −0.166499 0.192150i
\(156\) 0.0246632 0.517744i 0.00197463 0.0414527i
\(157\) 2.69246 + 7.77934i 0.214881 + 0.620859i 0.999999 + 0.00151213i \(0.000481326\pi\)
−0.785117 + 0.619347i \(0.787397\pi\)
\(158\) −3.54453 + 14.6107i −0.281987 + 1.16237i
\(159\) −2.53531 + 3.56035i −0.201063 + 0.282354i
\(160\) 1.07865 0.0852749
\(161\) 12.5622 + 1.78655i 0.990038 + 0.140799i
\(162\) −1.32036 −0.103737
\(163\) 1.46330 2.05492i 0.114615 0.160954i −0.753283 0.657696i \(-0.771531\pi\)
0.867898 + 0.496742i \(0.165471\pi\)
\(164\) 0.667613 2.75194i 0.0521318 0.214890i
\(165\) −1.25151 3.61600i −0.0974300 0.281505i
\(166\) 0.918396 19.2795i 0.0712813 1.49638i
\(167\) 14.7699 + 17.0454i 1.14293 + 1.31901i 0.940530 + 0.339712i \(0.110330\pi\)
0.202403 + 0.979302i \(0.435125\pi\)
\(168\) 2.42612 7.50065i 0.187179 0.578688i
\(169\) 8.55999 + 2.51344i 0.658461 + 0.193342i
\(170\) −1.89069 0.974720i −0.145009 0.0747576i
\(171\) 2.43839 + 1.91757i 0.186468 + 0.146640i
\(172\) −0.926348 1.30087i −0.0706334 0.0991907i
\(173\) −5.23759 + 0.500129i −0.398207 + 0.0380241i −0.292239 0.956345i \(-0.594400\pi\)
−0.105968 + 0.994370i \(0.533794\pi\)
\(174\) 0.689224 4.79366i 0.0522499 0.363406i
\(175\) −11.6710 + 1.35480i −0.882242 + 0.102414i
\(176\) −16.7957 4.93165i −1.26602 0.371737i
\(177\) 1.74817 1.37478i 0.131401 0.103335i
\(178\) 13.4039 2.58339i 1.00466 0.193633i
\(179\) −2.68201 + 1.38267i −0.200463 + 0.103346i −0.555535 0.831493i \(-0.687487\pi\)
0.355072 + 0.934839i \(0.384456\pi\)
\(180\) 0.188452 + 0.0363212i 0.0140464 + 0.00270722i
\(181\) 10.5875 3.10878i 0.786964 0.231073i 0.136530 0.990636i \(-0.456405\pi\)
0.650434 + 0.759563i \(0.274587\pi\)
\(182\) −6.01150 3.69257i −0.445602 0.273712i
\(183\) −10.0992 −0.746557
\(184\) 11.4818 + 8.50656i 0.846450 + 0.627112i
\(185\) −3.25140 + 5.63159i −0.239048 + 0.414043i
\(186\) −5.56387 0.531285i −0.407963 0.0389557i
\(187\) −7.97886 7.60783i −0.583472 0.556339i
\(188\) 0.0446490 0.0515277i 0.00325636 0.00375804i
\(189\) 1.27594 2.31775i 0.0928109 0.168592i
\(190\) 2.00568 + 2.31468i 0.145508 + 0.167925i
\(191\) 8.67275 6.82032i 0.627538 0.493501i −0.253007 0.967465i \(-0.581419\pi\)
0.880545 + 0.473963i \(0.157177\pi\)
\(192\) 6.32994 6.03559i 0.456824 0.435581i
\(193\) −0.515579 10.8233i −0.0371122 0.779080i −0.938336 0.345726i \(-0.887633\pi\)
0.901223 0.433355i \(-0.142670\pi\)
\(194\) 12.8404 5.14052i 0.921887 0.369068i
\(195\) 0.627351 1.37371i 0.0449255 0.0983732i
\(196\) 1.23083 + 1.30873i 0.0879163 + 0.0934810i
\(197\) −0.614125 + 4.27133i −0.0437546 + 0.304320i 0.956179 + 0.292783i \(0.0945814\pi\)
−0.999933 + 0.0115367i \(0.996328\pi\)
\(198\) −6.00535 3.09597i −0.426782 0.220021i
\(199\) −9.27471 + 8.84342i −0.657467 + 0.626893i −0.943518 0.331321i \(-0.892506\pi\)
0.286051 + 0.958214i \(0.407657\pi\)
\(200\) −12.2840 4.91779i −0.868613 0.347740i
\(201\) −4.66833 + 13.4882i −0.329278 + 0.951387i
\(202\) 16.5580 + 10.6412i 1.16502 + 0.748711i
\(203\) 7.74874 + 5.84226i 0.543855 + 0.410046i
\(204\) 0.530552 0.155784i 0.0371461 0.0109071i
\(205\) 4.78573 6.72062i 0.334250 0.469388i
\(206\) 0.991042 1.71654i 0.0690492 0.119597i
\(207\) 3.24354 + 3.53262i 0.225442 + 0.245534i
\(208\) −3.45428 5.98298i −0.239511 0.414845i
\(209\) 6.59414 + 14.4391i 0.456126 + 0.998777i
\(210\) 1.67009 2.00862i 0.115247 0.138608i
\(211\) 5.36599 6.19268i 0.369410 0.426322i −0.540360 0.841434i \(-0.681712\pi\)
0.909770 + 0.415112i \(0.136258\pi\)
\(212\) 0.0533768 1.12052i 0.00366593 0.0769574i
\(213\) 9.87539 1.90332i 0.676650 0.130414i
\(214\) −15.3677 6.15229i −1.05051 0.420562i
\(215\) −1.09697 4.52176i −0.0748125 0.308381i
\(216\) 2.50659 1.61089i 0.170552 0.109607i
\(217\) 6.30931 9.25340i 0.428304 0.628161i
\(218\) 4.46489 9.77674i 0.302400 0.662165i
\(219\) 12.7100 1.21366i 0.858865 0.0820117i
\(220\) 0.771966 + 0.607081i 0.0520460 + 0.0409294i
\(221\) −0.207031 4.34612i −0.0139264 0.292352i
\(222\) 2.70700 + 11.1584i 0.181682 + 0.748904i
\(223\) −2.68678 18.6870i −0.179920 1.25137i −0.856944 0.515410i \(-0.827640\pi\)
0.677024 0.735961i \(-0.263269\pi\)
\(224\) 0.975105 + 3.68977i 0.0651520 + 0.246533i
\(225\) −3.73587 2.40089i −0.249058 0.160060i
\(226\) −21.7490 4.19177i −1.44672 0.278832i
\(227\) 4.72423 19.4735i 0.313558 1.29250i −0.569014 0.822328i \(-0.692675\pi\)
0.882572 0.470177i \(-0.155810\pi\)
\(228\) −0.792555 0.0756798i −0.0524883 0.00501202i
\(229\) −8.01250 13.8781i −0.529481 0.917088i −0.999409 0.0343832i \(-0.989053\pi\)
0.469928 0.882705i \(-0.344280\pi\)
\(230\) 2.48450 + 4.03091i 0.163823 + 0.265790i
\(231\) 11.2380 7.54995i 0.739405 0.496751i
\(232\) 4.54002 + 9.94126i 0.298067 + 0.652675i
\(233\) −7.49895 7.15023i −0.491272 0.468427i 0.403481 0.914988i \(-0.367800\pi\)
−0.894753 + 0.446561i \(0.852649\pi\)
\(234\) −0.872141 2.51989i −0.0570137 0.164730i
\(235\) 0.176565 0.0910258i 0.0115179 0.00593787i
\(236\) −0.186690 + 0.539405i −0.0121525 + 0.0351123i
\(237\) −1.62050 11.2708i −0.105263 0.732118i
\(238\) 1.62506 7.34869i 0.105337 0.476345i
\(239\) 18.7571 12.0545i 1.21330 0.779740i 0.232091 0.972694i \(-0.425443\pi\)
0.981208 + 0.192954i \(0.0618069\pi\)
\(240\) 2.37477 0.950714i 0.153291 0.0613683i
\(241\) −13.4939 18.9496i −0.869219 1.22065i −0.974090 0.226162i \(-0.927382\pi\)
0.104870 0.994486i \(-0.466557\pi\)
\(242\) −11.6298 16.3318i −0.747594 1.04985i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 2.18055 1.40135i 0.139595 0.0897123i
\(245\) 1.91202 + 4.87272i 0.122155 + 0.311307i
\(246\) −2.07323 14.4197i −0.132185 0.919364i
\(247\) −2.04902 + 5.92025i −0.130376 + 0.376696i
\(248\) 11.2108 5.77954i 0.711883 0.367001i
\(249\) 4.78117 + 13.8143i 0.302994 + 0.875445i
\(250\) −6.74609 6.43238i −0.426660 0.406820i
\(251\) −4.09313 8.96271i −0.258356 0.565721i 0.735357 0.677680i \(-0.237015\pi\)
−0.993713 + 0.111959i \(0.964287\pi\)
\(252\) 0.0461166 + 0.677478i 0.00290507 + 0.0426771i
\(253\) 6.46923 + 23.6728i 0.406717 + 1.48830i
\(254\) 3.49542 + 6.05424i 0.219322 + 0.379877i
\(255\) 1.60375 + 0.153140i 0.100431 + 0.00958997i
\(256\) −1.42727 + 5.88329i −0.0892045 + 0.367706i
\(257\) 12.2841 + 2.36756i 0.766260 + 0.147685i 0.557381 0.830257i \(-0.311806\pi\)
0.208879 + 0.977941i \(0.433018\pi\)
\(258\) −6.91150 4.44175i −0.430291 0.276531i
\(259\) −22.2034 6.03117i −1.37965 0.374759i
\(260\) 0.0551605 + 0.383650i 0.00342091 + 0.0237930i
\(261\) 0.864743 + 3.56452i 0.0535262 + 0.220638i
\(262\) 0.485315 + 10.1880i 0.0299829 + 0.629418i
\(263\) 0.563693 + 0.443293i 0.0347588 + 0.0273346i 0.635387 0.772194i \(-0.280840\pi\)
−0.600628 + 0.799528i \(0.705083\pi\)
\(264\) 15.1779 1.44931i 0.934134 0.0891990i
\(265\) 1.35773 2.97302i 0.0834048 0.182631i
\(266\) −6.10475 + 8.95338i −0.374306 + 0.548967i
\(267\) −8.69733 + 5.58943i −0.532268 + 0.342068i
\(268\) −0.863657 3.56004i −0.0527562 0.217464i
\(269\) −14.1440 5.66241i −0.862376 0.345243i −0.102046 0.994780i \(-0.532539\pi\)
−0.760330 + 0.649536i \(0.774963\pi\)
\(270\) 0.969489 0.186854i 0.0590012 0.0113716i
\(271\) 0.538003 11.2941i 0.0326814 0.686066i −0.921777 0.387721i \(-0.873262\pi\)
0.954458 0.298345i \(-0.0964346\pi\)
\(272\) 4.82631 5.56986i 0.292638 0.337722i
\(273\) 5.26620 + 0.904160i 0.318725 + 0.0547223i
\(274\) 5.28231 + 11.5666i 0.319116 + 0.698766i
\(275\) −11.3621 19.6798i −0.685162 1.18674i
\(276\) −1.19050 0.312668i −0.0716597 0.0188204i
\(277\) 14.1812 24.5626i 0.852068 1.47582i −0.0272710 0.999628i \(-0.508682\pi\)
0.879339 0.476197i \(-0.157985\pi\)
\(278\) 7.63991 10.7288i 0.458211 0.643468i
\(279\) 4.06161 1.19260i 0.243162 0.0713989i
\(280\) −0.719932 + 5.85078i −0.0430242 + 0.349651i
\(281\) −1.71097 1.09957i −0.102068 0.0655949i 0.488611 0.872502i \(-0.337504\pi\)
−0.590679 + 0.806907i \(0.701140\pi\)
\(282\) 0.114721 0.331464i 0.00683153 0.0197384i
\(283\) −20.5745 8.23679i −1.22303 0.489627i −0.331872 0.943324i \(-0.607680\pi\)
−0.891156 + 0.453698i \(0.850105\pi\)
\(284\) −1.86811 + 1.78124i −0.110852 + 0.105697i
\(285\) −2.06178 1.06292i −0.122130 0.0629622i
\(286\) 1.94189 13.5061i 0.114826 0.798634i
\(287\) 27.3157 + 10.2952i 1.61240 + 0.607707i
\(288\) −0.599228 + 1.31213i −0.0353099 + 0.0773178i
\(289\) −11.4731 + 4.59313i −0.674888 + 0.270184i
\(290\) 0.172315 + 3.61734i 0.0101187 + 0.212418i
\(291\) −7.58134 + 7.22879i −0.444426 + 0.423759i
\(292\) −2.57585 + 2.02567i −0.150740 + 0.118543i
\(293\) 4.77115 + 5.50620i 0.278734 + 0.321676i 0.877803 0.479021i \(-0.159008\pi\)
−0.599070 + 0.800697i \(0.704463\pi\)
\(294\) 8.38071 + 3.89712i 0.488773 + 0.227285i
\(295\) −1.08906 + 1.25685i −0.0634077 + 0.0731764i
\(296\) −18.7527 17.8807i −1.08998 1.03930i
\(297\) 5.09395 + 0.486413i 0.295581 + 0.0282245i
\(298\) −5.12978 + 8.88504i −0.297160 + 0.514697i
\(299\) −4.59950 + 8.52368i −0.265996 + 0.492937i
\(300\) 1.13976 0.0658042
\(301\) 14.4760 7.84010i 0.834384 0.451896i
\(302\) −8.24296 + 2.42035i −0.474329 + 0.139276i
\(303\) −14.6376 2.82116i −0.840907 0.162071i
\(304\) −9.43196 + 4.86251i −0.540960 + 0.278884i
\(305\) 7.41548 1.42922i 0.424609 0.0818368i
\(306\) 2.23604 1.75844i 0.127826 0.100524i
\(307\) 9.88402 + 2.90221i 0.564111 + 0.165638i 0.551340 0.834281i \(-0.314117\pi\)
0.0127707 + 0.999918i \(0.495935\pi\)
\(308\) −1.37880 + 3.18949i −0.0785643 + 0.181738i
\(309\) −0.213639 + 1.48589i −0.0121535 + 0.0845295i
\(310\) 4.16053 0.397282i 0.236302 0.0225641i
\(311\) −2.20173 3.09190i −0.124849 0.175326i 0.747421 0.664351i \(-0.231292\pi\)
−0.872270 + 0.489025i \(0.837353\pi\)
\(312\) 4.73005 + 3.71975i 0.267786 + 0.210590i
\(313\) 14.9587 + 7.71173i 0.845514 + 0.435893i 0.825834 0.563914i \(-0.190705\pi\)
0.0196802 + 0.999806i \(0.493735\pi\)
\(314\) −10.4290 3.06224i −0.588544 0.172812i
\(315\) −0.608872 + 1.88241i −0.0343060 + 0.106062i
\(316\) 1.91380 + 2.20865i 0.107660 + 0.124246i
\(317\) −0.653011 + 13.7084i −0.0366767 + 0.769939i 0.903364 + 0.428876i \(0.141090\pi\)
−0.940040 + 0.341064i \(0.889213\pi\)
\(318\) −1.88751 5.45361i −0.105847 0.305824i
\(319\) −4.42499 + 18.2400i −0.247752 + 1.02125i
\(320\) −3.79370 + 5.32750i −0.212074 + 0.297816i
\(321\) 12.5371 0.699751
\(322\) −11.5426 + 12.1427i −0.643246 + 0.676688i
\(323\) −6.68324 −0.371865
\(324\) −0.148875 + 0.209065i −0.00827081 + 0.0116147i
\(325\) 2.11441 8.71573i 0.117286 0.483461i
\(326\) 1.08942 + 3.14766i 0.0603372 + 0.174333i
\(327\) −0.387328 + 8.13101i −0.0214193 + 0.449646i
\(328\) 21.5284 + 24.8451i 1.18871 + 1.37184i
\(329\) 0.470990 + 0.521694i 0.0259665 + 0.0287619i
\(330\) 4.84764 + 1.42339i 0.266854 + 0.0783553i
\(331\) −11.7140 6.03897i −0.643858 0.331932i 0.105186 0.994453i \(-0.466456\pi\)
−0.749043 + 0.662521i \(0.769487\pi\)
\(332\) −2.94916 2.31924i −0.161856 0.127285i
\(333\) −5.04429 7.08371i −0.276425 0.388185i
\(334\) −29.6449 + 2.83075i −1.62210 + 0.154892i
\(335\) 1.51895 10.5646i 0.0829893 0.577203i
\(336\) 5.39893 + 7.26399i 0.294536 + 0.396283i
\(337\) −26.0714 7.65527i −1.42020 0.417009i −0.520631 0.853782i \(-0.674303\pi\)
−0.899572 + 0.436773i \(0.856121\pi\)
\(338\) −9.25923 + 7.28154i −0.503636 + 0.396064i
\(339\) 16.4720 3.17472i 0.894637 0.172427i
\(340\) −0.367518 + 0.189469i −0.0199315 + 0.0102754i
\(341\) 21.2697 + 4.09940i 1.15182 + 0.221995i
\(342\) −3.92992 + 1.15393i −0.212506 + 0.0623974i
\(343\) −14.9398 + 10.9455i −0.806672 + 0.591000i
\(344\) 18.5400 0.999612
\(345\) −2.88154 2.13485i −0.155137 0.114937i
\(346\) 3.47348 6.01624i 0.186735 0.323435i
\(347\) 5.60483 + 0.535196i 0.300883 + 0.0287308i 0.244406 0.969673i \(-0.421407\pi\)
0.0564772 + 0.998404i \(0.482013\pi\)
\(348\) −0.681314 0.649632i −0.0365223 0.0348239i
\(349\) −7.18023 + 8.28642i −0.384349 + 0.443562i −0.914650 0.404247i \(-0.867533\pi\)
0.530301 + 0.847809i \(0.322079\pi\)
\(350\) 7.48145 13.5901i 0.399901 0.726422i
\(351\) 1.32253 + 1.52628i 0.0705915 + 0.0814670i
\(352\) −5.80213 + 4.56284i −0.309254 + 0.243200i
\(353\) −24.1324 + 23.0102i −1.28444 + 1.22471i −0.324049 + 0.946040i \(0.605044\pi\)
−0.960388 + 0.278667i \(0.910107\pi\)
\(354\) 0.139722 + 2.93314i 0.00742617 + 0.155894i
\(355\) −6.98177 + 2.79508i −0.370554 + 0.148347i
\(356\) 1.10228 2.41365i 0.0584206 0.127923i
\(357\) 0.925947 + 5.62443i 0.0490063 + 0.297676i
\(358\) 0.566997 3.94355i 0.0299667 0.208423i
\(359\) 2.31964 + 1.19586i 0.122426 + 0.0631148i 0.518351 0.855168i \(-0.326546\pi\)
−0.395926 + 0.918283i \(0.629576\pi\)
\(360\) −1.61253 + 1.53754i −0.0849877 + 0.0810356i
\(361\) −8.70550 3.48516i −0.458184 0.183429i
\(362\) −4.76521 + 13.7682i −0.250454 + 0.723639i
\(363\) 12.7743 + 8.20956i 0.670479 + 0.430890i
\(364\) −1.26250 + 0.535510i −0.0661728 + 0.0280684i
\(365\) −9.16075 + 2.68984i −0.479496 + 0.140793i
\(366\) 7.73483 10.8620i 0.404306 0.567768i
\(367\) 3.82691 6.62841i 0.199763 0.346000i −0.748688 0.662922i \(-0.769316\pi\)
0.948452 + 0.316922i \(0.102649\pi\)
\(368\) −15.6017 + 5.07282i −0.813294 + 0.264439i
\(369\) 5.51666 + 9.55514i 0.287186 + 0.497421i
\(370\) −3.56676 7.81012i −0.185427 0.406029i
\(371\) 11.3973 + 1.95681i 0.591717 + 0.101593i
\(372\) −0.711468 + 0.821078i −0.0368879 + 0.0425709i
\(373\) −0.291322 + 6.11561i −0.0150841 + 0.316654i 0.978698 + 0.205307i \(0.0658194\pi\)
−0.993782 + 0.111347i \(0.964484\pi\)
\(374\) 14.2933 2.75481i 0.739090 0.142448i
\(375\) 6.55393 + 2.62380i 0.338443 + 0.135492i
\(376\) 0.186611 + 0.769222i 0.00962374 + 0.0396696i
\(377\) −6.23164 + 4.00483i −0.320946 + 0.206259i
\(378\) 1.51560 + 3.14744i 0.0779539 + 0.161887i
\(379\) −4.20804 + 9.21432i −0.216152 + 0.473308i −0.986384 0.164456i \(-0.947413\pi\)
0.770232 + 0.637764i \(0.220140\pi\)
\(380\) 0.592653 0.0565915i 0.0304025 0.00290308i
\(381\) −4.16188 3.27294i −0.213219 0.167678i
\(382\) 0.693168 + 14.5514i 0.0354656 + 0.744514i
\(383\) −4.34901 17.9269i −0.222224 0.916019i −0.968226 0.250076i \(-0.919544\pi\)
0.746002 0.665943i \(-0.231971\pi\)
\(384\) 1.23290 + 8.57501i 0.0629162 + 0.437592i
\(385\) −7.18318 + 7.13402i −0.366089 + 0.363583i
\(386\) 12.0357 + 7.73488i 0.612601 + 0.393695i
\(387\) 6.10989 + 1.17759i 0.310583 + 0.0598600i
\(388\) 0.633848 2.61276i 0.0321787 0.132643i
\(389\) −14.0784 1.34432i −0.713801 0.0681598i −0.268164 0.963373i \(-0.586417\pi\)
−0.445637 + 0.895214i \(0.647023\pi\)
\(390\) 0.996988 + 1.72683i 0.0504845 + 0.0874417i
\(391\) −10.1977 1.66281i −0.515720 0.0840921i
\(392\) −20.6647 + 2.82644i −1.04373 + 0.142757i
\(393\) −3.20902 7.02677i −0.161874 0.354454i
\(394\) −4.12361 3.93185i −0.207744 0.198084i
\(395\) 2.78489 + 8.04640i 0.140123 + 0.404859i
\(396\) −1.16734 + 0.601805i −0.0586609 + 0.0302418i
\(397\) −5.19469 + 15.0091i −0.260714 + 0.753283i 0.736342 + 0.676609i \(0.236551\pi\)
−0.997056 + 0.0766741i \(0.975570\pi\)
\(398\) −2.40804 16.7483i −0.120704 0.839515i
\(399\) 1.77211 8.01369i 0.0887165 0.401186i
\(400\) 12.7797 8.21302i 0.638986 0.410651i
\(401\) 21.6776 8.67840i 1.08253 0.433379i 0.239306 0.970944i \(-0.423080\pi\)
0.843222 + 0.537565i \(0.180656\pi\)
\(402\) −10.9316 15.3513i −0.545221 0.765655i
\(403\) 4.95889 + 6.96378i 0.247020 + 0.346891i
\(404\) 3.55189 1.42196i 0.176713 0.0707452i
\(405\) −0.629069 + 0.404278i −0.0312587 + 0.0200887i
\(406\) −12.2182 + 3.85953i −0.606377 + 0.191545i
\(407\) −6.33293 44.0465i −0.313912 2.18330i
\(408\) −2.09957 + 6.06632i −0.103944 + 0.300328i
\(409\) 15.7954 8.14311i 0.781034 0.402651i −0.0211136 0.999777i \(-0.506721\pi\)
0.802147 + 0.597126i \(0.203691\pi\)
\(410\) 3.56293 + 10.2944i 0.175961 + 0.508405i
\(411\) −6.96994 6.64582i −0.343802 0.327814i
\(412\) −0.160053 0.350466i −0.00788523 0.0172662i
\(413\) −5.28384 2.58919i −0.260001 0.127406i
\(414\) −6.28362 + 0.782959i −0.308823 + 0.0384803i
\(415\) −5.46560 9.46669i −0.268296 0.464701i
\(416\) −2.89999 0.276915i −0.142184 0.0135769i
\(417\) −2.35177 + 9.69411i −0.115166 + 0.474723i
\(418\) −20.5801 3.96649i −1.00661 0.194007i
\(419\) −19.1992 12.3386i −0.937944 0.602780i −0.0201326 0.999797i \(-0.506409\pi\)
−0.917811 + 0.397018i \(0.870045\pi\)
\(420\) −0.129737 0.490920i −0.00633050 0.0239544i
\(421\) 3.30155 + 22.9628i 0.160908 + 1.11914i 0.896927 + 0.442178i \(0.145794\pi\)
−0.736019 + 0.676960i \(0.763297\pi\)
\(422\) 2.55071 + 10.5142i 0.124167 + 0.511821i
\(423\) 0.0126402 + 0.265351i 0.000614589 + 0.0129018i
\(424\) 10.2369 + 8.05040i 0.497149 + 0.390962i
\(425\) 9.52423 0.909454i 0.461993 0.0441150i
\(426\) −5.51630 + 12.0790i −0.267266 + 0.585230i
\(427\) 11.5926 + 24.0743i 0.561005 + 1.16504i
\(428\) −2.70691 + 1.73962i −0.130843 + 0.0840878i
\(429\) 2.43641 + 10.0430i 0.117631 + 0.484882i
\(430\) 5.70344 + 2.28331i 0.275044 + 0.110111i
\(431\) −4.38573 + 0.845281i −0.211253 + 0.0407158i −0.293780 0.955873i \(-0.594913\pi\)
0.0825264 + 0.996589i \(0.473701\pi\)
\(432\) −0.162769 + 3.41694i −0.00783123 + 0.164398i
\(433\) 10.3437 11.9372i 0.497085 0.573667i −0.450660 0.892696i \(-0.648811\pi\)
0.947745 + 0.319029i \(0.103357\pi\)
\(434\) 5.12013 + 13.8729i 0.245774 + 0.665920i
\(435\) −1.13939 2.49491i −0.0546295 0.119622i
\(436\) −1.04462 1.80933i −0.0500280 0.0866511i
\(437\) 12.7414 + 7.67982i 0.609506 + 0.367376i
\(438\) −8.42907 + 14.5996i −0.402757 + 0.697595i
\(439\) 17.0316 23.9175i 0.812873 1.14152i −0.174740 0.984615i \(-0.555909\pi\)
0.987614 0.156906i \(-0.0501520\pi\)
\(440\) −10.9394 + 3.21211i −0.521517 + 0.153131i
\(441\) −6.98962 0.381082i −0.332839 0.0181468i
\(442\) 4.83295 + 3.10595i 0.229880 + 0.147735i
\(443\) 4.77573 13.7986i 0.226902 0.655590i −0.772877 0.634556i \(-0.781183\pi\)
0.999779 0.0210339i \(-0.00669579\pi\)
\(444\) 2.07204 + 0.829522i 0.0983349 + 0.0393674i
\(445\) 5.59512 5.33493i 0.265234 0.252900i
\(446\) 22.1562 + 11.4223i 1.04912 + 0.540861i
\(447\) 1.10583 7.69120i 0.0523038 0.363781i
\(448\) −21.6534 8.16112i −1.02303 0.385577i
\(449\) −5.30985 + 11.6270i −0.250587 + 0.548710i −0.992565 0.121715i \(-0.961161\pi\)
0.741978 + 0.670425i \(0.233888\pi\)
\(450\) 5.44347 2.17924i 0.256608 0.102730i
\(451\) 2.68642 + 56.3949i 0.126498 + 2.65553i
\(452\) −3.11599 + 2.97109i −0.146564 + 0.139748i
\(453\) 5.11448 4.02207i 0.240299 0.188973i
\(454\) 17.3262 + 19.9955i 0.813159 + 0.938436i
\(455\) −3.99473 + 0.0813690i −0.187276 + 0.00381464i
\(456\) 6.05280 6.98530i 0.283448 0.327117i
\(457\) −1.20045 1.14463i −0.0561547 0.0535434i 0.661482 0.749961i \(-0.269928\pi\)
−0.717637 + 0.696418i \(0.754776\pi\)
\(458\) 21.0629 + 2.01127i 0.984206 + 0.0939803i
\(459\) −1.07723 + 1.86581i −0.0502806 + 0.0870885i
\(460\) 0.918388 + 0.0611034i 0.0428200 + 0.00284896i
\(461\) 7.18622 0.334696 0.167348 0.985898i \(-0.446480\pi\)
0.167348 + 0.985898i \(0.446480\pi\)
\(462\) −0.486763 + 17.8692i −0.0226463 + 0.831350i
\(463\) 31.7286 9.31636i 1.47455 0.432968i 0.556977 0.830528i \(-0.311961\pi\)
0.917576 + 0.397560i \(0.130143\pi\)
\(464\) −12.3205 2.37458i −0.571965 0.110237i
\(465\) −2.81351 + 1.45047i −0.130474 + 0.0672638i
\(466\) 13.4336 2.58912i 0.622300 0.119939i
\(467\) −11.1609 + 8.77704i −0.516465 + 0.406153i −0.842082 0.539349i \(-0.818670\pi\)
0.325617 + 0.945502i \(0.394428\pi\)
\(468\) −0.497335 0.146031i −0.0229893 0.00675027i
\(469\) 37.5116 4.35447i 1.73212 0.201071i
\(470\) −0.0373273 + 0.259617i −0.00172178 + 0.0119752i
\(471\) 8.19482 0.782511i 0.377598 0.0360562i
\(472\) −3.84379 5.39785i −0.176925 0.248456i
\(473\) 25.0283 + 19.6825i 1.15080 + 0.905000i
\(474\) 13.3632 + 6.88922i 0.613793 + 0.316433i
\(475\) −13.2177 3.88107i −0.606471 0.178076i
\(476\) −0.980359 1.08590i −0.0449347 0.0497721i
\(477\) 2.86226 + 3.30323i 0.131054 + 0.151244i
\(478\) −1.40079 + 29.4062i −0.0640707 + 1.34501i
\(479\) −2.46287 7.11601i −0.112532 0.325139i 0.874647 0.484761i \(-0.161093\pi\)
−0.987178 + 0.159623i \(0.948972\pi\)
\(480\) 0.254302 1.04825i 0.0116072 0.0478457i
\(481\) 10.1872 14.3060i 0.464498 0.652297i
\(482\) 30.7156 1.39906
\(483\) 4.69783 11.7869i 0.213759 0.536321i
\(484\) −3.89728 −0.177149
\(485\) 4.54369 6.38072i 0.206318 0.289734i
\(486\) −0.311286 + 1.28314i −0.0141202 + 0.0582044i
\(487\) −1.79077 5.17409i −0.0811476 0.234460i 0.897127 0.441772i \(-0.145650\pi\)
−0.978275 + 0.207311i \(0.933529\pi\)
\(488\) −1.43182 + 30.0575i −0.0648152 + 1.36064i
\(489\) −1.65201 1.90652i −0.0747065 0.0862159i
\(490\) −6.70515 1.67549i −0.302908 0.0756910i
\(491\) 8.68273 + 2.54948i 0.391846 + 0.115056i 0.471720 0.881749i \(-0.343633\pi\)
−0.0798736 + 0.996805i \(0.525452\pi\)
\(492\) −2.51697 1.29759i −0.113474 0.0584998i
\(493\) −6.21165 4.88490i −0.279759 0.220005i
\(494\) −4.79811 6.73800i −0.215877 0.303157i
\(495\) −3.80913 + 0.363728i −0.171208 + 0.0163483i
\(496\) −2.06080 + 14.3332i −0.0925328 + 0.643580i
\(497\) −15.8727 21.3560i −0.711990 0.957946i
\(498\) −18.5195 5.43782i −0.829879 0.243675i
\(499\) 12.0813 9.50082i 0.540832 0.425315i −0.310013 0.950732i \(-0.600333\pi\)
0.850845 + 0.525417i \(0.176091\pi\)
\(500\) −1.77915 + 0.342902i −0.0795658 + 0.0153351i
\(501\) 20.0471 10.3350i 0.895637 0.461733i
\(502\) 12.7745 + 2.46209i 0.570155 + 0.109888i
\(503\) −36.6639 + 10.7655i −1.63476 + 0.480010i −0.964932 0.262502i \(-0.915452\pi\)
−0.669833 + 0.742512i \(0.733634\pi\)
\(504\) −6.71724 4.12607i −0.299210 0.183790i
\(505\) 11.1471 0.496038
\(506\) −30.4155 11.1727i −1.35213 0.496688i
\(507\) 4.46069 7.72613i 0.198106 0.343130i
\(508\) 1.35275 + 0.129172i 0.0600184 + 0.00573106i
\(509\) −0.300218 0.286257i −0.0133069 0.0126881i 0.683396 0.730048i \(-0.260502\pi\)
−0.696703 + 0.717359i \(0.745351\pi\)
\(510\) −1.39299 + 1.60760i −0.0616827 + 0.0711856i
\(511\) −17.4826 28.9048i −0.773383 1.27867i
\(512\) −16.5809 19.1354i −0.732780 0.845673i
\(513\) 2.43839 1.91757i 0.107657 0.0846627i
\(514\) −11.9546 + 11.3986i −0.527293 + 0.502773i
\(515\) −0.0534126 1.12127i −0.00235364 0.0494090i
\(516\) −1.48260 + 0.593543i −0.0652678 + 0.0261293i
\(517\) −0.564703 + 1.23653i −0.0248356 + 0.0543824i
\(518\) 23.4919 19.2613i 1.03218 0.846293i
\(519\) −0.748778 + 5.20786i −0.0328677 + 0.228600i
\(520\) −3.99951 2.06189i −0.175390 0.0904199i
\(521\) 21.1488 20.1653i 0.926544 0.883458i −0.0669017 0.997760i \(-0.521311\pi\)
0.993446 + 0.114301i \(0.0364629\pi\)
\(522\) −4.49604 1.79994i −0.196786 0.0787814i
\(523\) 4.62869 13.3737i 0.202399 0.584792i −0.797428 0.603414i \(-0.793807\pi\)
0.999827 + 0.0186218i \(0.00592785\pi\)
\(524\) 1.66789 + 1.07189i 0.0728621 + 0.0468256i
\(525\) −1.43492 + 11.6614i −0.0626250 + 0.508945i
\(526\) −0.908498 + 0.266759i −0.0396124 + 0.0116313i
\(527\) −5.29010 + 7.42890i −0.230440 + 0.323608i
\(528\) −8.75236 + 15.1595i −0.380898 + 0.659734i
\(529\) 17.5309 + 14.8885i 0.762214 + 0.647325i
\(530\) 2.15771 + 3.73727i 0.0937250 + 0.162337i
\(531\) −0.923878 2.02301i −0.0400929 0.0877912i
\(532\) 0.729345 + 1.97615i 0.0316211 + 0.0856768i
\(533\) −14.5919 + 16.8400i −0.632046 + 0.729420i
\(534\) 0.649520 13.6351i 0.0281075 0.590049i
\(535\) −9.20550 + 1.77421i −0.397989 + 0.0767060i
\(536\) 39.4821 + 15.8062i 1.70537 + 0.682726i
\(537\) 0.711390 + 2.93239i 0.0306987 + 0.126542i
\(538\) 16.9228 10.8756i 0.729592 0.468880i
\(539\) −30.8971 18.1225i −1.33083 0.780592i
\(540\) 0.0797266 0.174577i 0.00343089 0.00751260i
\(541\) 36.0561 3.44294i 1.55017 0.148024i 0.715438 0.698676i \(-0.246227\pi\)
0.834735 + 0.550653i \(0.185621\pi\)
\(542\) 11.7351 + 9.22858i 0.504065 + 0.396401i
\(543\) −0.525042 11.0220i −0.0225317 0.472999i
\(544\) −0.732681 3.02015i −0.0314134 0.129488i
\(545\) −0.866280 6.02511i −0.0371074 0.258087i
\(546\) −5.00575 + 4.97149i −0.214226 + 0.212760i
\(547\) −24.5532 15.7794i −1.04982 0.674677i −0.102422 0.994741i \(-0.532659\pi\)
−0.947396 + 0.320064i \(0.896295\pi\)
\(548\) 2.42706 + 0.467777i 0.103679 + 0.0199824i
\(549\) −2.38098 + 9.81455i −0.101618 + 0.418875i
\(550\) 29.8683 + 2.85208i 1.27359 + 0.121613i
\(551\) 5.68904 + 9.85371i 0.242361 + 0.419782i
\(552\) 10.9737 9.15265i 0.467072 0.389563i
\(553\) −25.0070 + 16.8003i −1.06341 + 0.714422i
\(554\) 15.5567 + 34.0645i 0.660941 + 1.44726i
\(555\) 4.70630 + 4.48744i 0.199771 + 0.190481i
\(556\) −0.837363 2.41940i −0.0355121 0.102606i
\(557\) −27.5723 + 14.2145i −1.16828 + 0.602289i −0.929513 0.368789i \(-0.879772\pi\)
−0.238764 + 0.971078i \(0.576742\pi\)
\(558\) −1.82804 + 5.28178i −0.0773872 + 0.223596i
\(559\) 1.78839 + 12.4385i 0.0756406 + 0.526092i
\(560\) −4.99221 4.56963i −0.210960 0.193102i
\(561\) −9.27446 + 5.96033i −0.391568 + 0.251646i
\(562\) 2.49302 0.998056i 0.105162 0.0421004i
\(563\) 15.8524 + 22.2617i 0.668101 + 0.938217i 0.999987 0.00510285i \(-0.00162429\pi\)
−0.331886 + 0.943320i \(0.607685\pi\)
\(564\) −0.0395488 0.0555385i −0.00166531 0.00233859i
\(565\) −11.6455 + 4.66216i −0.489930 + 0.196138i
\(566\) 24.6166 15.8201i 1.03471 0.664970i
\(567\) −1.95160 1.78640i −0.0819597 0.0750219i
\(568\) −4.26463 29.6611i −0.178940 1.24455i
\(569\) −4.83936 + 13.9824i −0.202876 + 0.586173i −0.999841 0.0178536i \(-0.994317\pi\)
0.796964 + 0.604027i \(0.206438\pi\)
\(570\) 2.72229 1.40344i 0.114024 0.0587836i
\(571\) −9.84954 28.4584i −0.412190 1.19095i −0.939879 0.341508i \(-0.889062\pi\)
0.527688 0.849438i \(-0.323059\pi\)
\(572\) −1.91960 1.83034i −0.0802626 0.0765303i
\(573\) −4.58339 10.0362i −0.191474 0.419269i
\(574\) −31.9935 + 21.4940i −1.33538 + 0.897142i
\(575\) −19.2028 9.21060i −0.800812 0.384109i
\(576\) −4.37311 7.57445i −0.182213 0.315602i
\(577\) −26.8210 2.56109i −1.11657 0.106620i −0.479586 0.877495i \(-0.659213\pi\)
−0.636986 + 0.770875i \(0.719819\pi\)
\(578\) 3.84698 15.8575i 0.160013 0.659584i
\(579\) −10.6398 2.05065i −0.442174 0.0852221i
\(580\) 0.592198 + 0.380582i 0.0245897 + 0.0158028i
\(581\) 27.4420 27.2542i 1.13849 1.13070i
\(582\) −1.96838 13.6904i −0.0815919 0.567484i
\(583\) 5.27295 + 21.7354i 0.218383 + 0.900189i
\(584\) −1.81016 37.9999i −0.0749049 1.57245i
\(585\) −1.18708 0.933531i −0.0490797 0.0385967i
\(586\) −9.57624 + 0.914420i −0.395591 + 0.0377743i
\(587\) 9.52818 20.8638i 0.393270 0.861141i −0.604639 0.796500i \(-0.706682\pi\)
0.997909 0.0646411i \(-0.0205903\pi\)
\(588\) 1.56202 0.887587i 0.0644167 0.0366035i
\(589\) 11.0467 7.09931i 0.455173 0.292522i
\(590\) −0.517683 2.13392i −0.0213127 0.0878520i
\(591\) 4.00614 + 1.60382i 0.164791 + 0.0659723i
\(592\) 29.2105 5.62986i 1.20054 0.231386i
\(593\) −2.26250 + 47.4956i −0.0929096 + 1.95041i 0.169669 + 0.985501i \(0.445730\pi\)
−0.262579 + 0.964911i \(0.584573\pi\)
\(594\) −4.42452 + 5.10616i −0.181540 + 0.209508i
\(595\) −1.47584 3.99877i −0.0605037 0.163934i
\(596\) 0.828456 + 1.81407i 0.0339349 + 0.0743070i
\(597\) 6.40754 + 11.0982i 0.262243 + 0.454219i
\(598\) −5.64481 11.4750i −0.230834 0.469249i
\(599\) 15.9439 27.6157i 0.651452 1.12835i −0.331319 0.943519i \(-0.607494\pi\)
0.982771 0.184829i \(-0.0591730\pi\)
\(600\) −7.67524 + 10.7784i −0.313340 + 0.440025i
\(601\) −35.5006 + 10.4239i −1.44810 + 0.425200i −0.908913 0.416987i \(-0.863086\pi\)
−0.539186 + 0.842187i \(0.681268\pi\)
\(602\) −2.65466 + 21.5740i −0.108196 + 0.879292i
\(603\) 12.0074 + 7.71671i 0.488980 + 0.314249i
\(604\) −0.546182 + 1.57809i −0.0222238 + 0.0642116i
\(605\) −10.5415 4.22018i −0.428573 0.171575i
\(606\) 14.2449 13.5825i 0.578660 0.551751i
\(607\) 24.8058 + 12.7883i 1.00684 + 0.519060i 0.881063 0.472999i \(-0.156829\pi\)
0.125773 + 0.992059i \(0.459859\pi\)
\(608\) −0.636811 + 4.42912i −0.0258261 + 0.179625i
\(609\) 7.50441 6.15295i 0.304094 0.249330i
\(610\) −4.14222 + 9.07020i −0.167714 + 0.367242i
\(611\) −0.498070 + 0.199397i −0.0201497 + 0.00806674i
\(612\) −0.0263105 0.552324i −0.00106354 0.0223264i
\(613\) 32.9502 31.4179i 1.33085 1.26896i 0.394046 0.919091i \(-0.371075\pi\)
0.936799 0.349868i \(-0.113773\pi\)
\(614\) −10.6914 + 8.40782i −0.431471 + 0.339312i
\(615\) −5.40290 6.23527i −0.217866 0.251431i
\(616\) −20.8770 34.5171i −0.841160 1.39073i
\(617\) −12.6511 + 14.6002i −0.509314 + 0.587780i −0.950923 0.309428i \(-0.899862\pi\)
0.441609 + 0.897208i \(0.354408\pi\)
\(618\) −1.43450 1.36780i −0.0577041 0.0550208i
\(619\) −0.700793 0.0669176i −0.0281672 0.00268965i 0.0809629 0.996717i \(-0.474200\pi\)
−0.109130 + 0.994027i \(0.534807\pi\)
\(620\) 0.406207 0.703572i 0.0163137 0.0282561i
\(621\) 4.19774 2.31927i 0.168449 0.0930689i
\(622\) 5.01171 0.200951
\(623\) 23.3074 + 14.3166i 0.933789 + 0.573581i
\(624\) −6.62871 + 1.94636i −0.265361 + 0.0779169i
\(625\) 16.6193 + 3.20310i 0.664771 + 0.128124i
\(626\) −19.7508 + 10.1822i −0.789401 + 0.406964i
\(627\) 15.5868 3.00410i 0.622475 0.119972i
\(628\) −1.66078 + 1.30605i −0.0662724 + 0.0521172i
\(629\) 17.9766 + 5.27840i 0.716774 + 0.210464i
\(630\) −1.55826 2.09656i −0.0620827 0.0835291i
\(631\) 3.91989 27.2634i 0.156048 1.08534i −0.749777 0.661690i \(-0.769839\pi\)
0.905826 0.423650i \(-0.139251\pi\)
\(632\) −33.7741 + 3.22504i −1.34346 + 0.128285i
\(633\) −4.75304 6.67471i −0.188916 0.265296i
\(634\) −14.2437 11.2013i −0.565688 0.444862i
\(635\) 3.51909 + 1.81422i 0.139651 + 0.0719950i
\(636\) −1.07635 0.316044i −0.0426799 0.0125320i
\(637\) −3.88959 13.5913i −0.154111 0.538508i
\(638\) −16.2287 18.7290i −0.642502 0.741486i
\(639\) 0.478538 10.0457i 0.0189307 0.397403i
\(640\) −2.11879 6.12183i −0.0837523 0.241987i
\(641\) −4.94849 + 20.3980i −0.195454 + 0.805671i 0.786661 + 0.617386i \(0.211808\pi\)
−0.982114 + 0.188285i \(0.939707\pi\)
\(642\) −9.60193 + 13.4840i −0.378958 + 0.532172i
\(643\) −22.8976 −0.902994 −0.451497 0.892273i \(-0.649110\pi\)
−0.451497 + 0.892273i \(0.649110\pi\)
\(644\) 0.621208 + 3.19679i 0.0244790 + 0.125971i
\(645\) −4.65291 −0.183208
\(646\) 5.11858 7.18804i 0.201388 0.282810i
\(647\) −0.141599 + 0.583680i −0.00556684 + 0.0229468i −0.974527 0.224269i \(-0.928001\pi\)
0.968960 + 0.247216i \(0.0795157\pi\)
\(648\) −0.974529 2.81572i −0.0382831 0.110612i
\(649\) 0.541502 11.3675i 0.0212558 0.446214i
\(650\) 7.75465 + 8.94934i 0.304162 + 0.351022i
\(651\) −7.50508 8.31304i −0.294147 0.325814i
\(652\) 0.621235 + 0.182411i 0.0243294 + 0.00714376i
\(653\) 2.68537 + 1.38441i 0.105087 + 0.0541760i 0.509969 0.860193i \(-0.329657\pi\)
−0.404882 + 0.914369i \(0.632687\pi\)
\(654\) −8.44851 6.64398i −0.330363 0.259800i
\(655\) 3.35067 + 4.70536i 0.130922 + 0.183854i
\(656\) −37.5721 + 3.58770i −1.46694 + 0.140076i
\(657\) 1.81706 12.6379i 0.0708901 0.493052i
\(658\) −0.921822 + 0.107008i −0.0359364 + 0.00417161i
\(659\) −19.5729 5.74713i −0.762453 0.223876i −0.122686 0.992446i \(-0.539151\pi\)
−0.639767 + 0.768569i \(0.720969\pi\)
\(660\) 0.771966 0.607081i 0.0300487 0.0236306i
\(661\) 12.1209 2.33611i 0.471448 0.0908641i 0.0520069 0.998647i \(-0.483438\pi\)
0.419441 + 0.907783i \(0.362226\pi\)
\(662\) 15.4666 7.97360i 0.601127 0.309903i
\(663\) −4.27242 0.823441i −0.165927 0.0319798i
\(664\) 41.7922 12.2713i 1.62185 0.476218i
\(665\) −0.167118 + 6.13493i −0.00648055 + 0.237902i
\(666\) 11.4821 0.444922
\(667\) 6.22906 + 16.4509i 0.241190 + 0.636980i
\(668\) −2.89434 + 5.01315i −0.111985 + 0.193964i
\(669\) −18.7936 1.79457i −0.726604 0.0693822i
\(670\) 10.1992 + 9.72489i 0.394029 + 0.375705i
\(671\) −33.8425 + 39.0563i −1.30648 + 1.50775i
\(672\) 3.81565 0.0777214i 0.147192 0.00299817i
\(673\) 32.3711 + 37.3582i 1.24781 + 1.44005i 0.853512 + 0.521074i \(0.174468\pi\)
0.394302 + 0.918981i \(0.370986\pi\)
\(674\) 28.2012 22.1776i 1.08627 0.854251i
\(675\) −3.21398 + 3.06452i −0.123706 + 0.117954i
\(676\) 0.108949 + 2.28712i 0.00419035 + 0.0879662i
\(677\) −36.5433 + 14.6297i −1.40447 + 0.562267i −0.945336 0.326098i \(-0.894266\pi\)
−0.459139 + 0.888365i \(0.651842\pi\)
\(678\) −9.20112 + 20.1476i −0.353367 + 0.773765i
\(679\) 25.9342 + 9.77453i 0.995264 + 0.375112i
\(680\) 0.683148 4.75140i 0.0261975 0.182208i
\(681\) −17.8108 9.18212i −0.682513 0.351860i
\(682\) −20.6991 + 19.7366i −0.792611 + 0.755753i
\(683\) 29.9264 + 11.9807i 1.14510 + 0.458429i 0.865114 0.501575i \(-0.167246\pi\)
0.279986 + 0.960004i \(0.409670\pi\)
\(684\) −0.260399 + 0.752372i −0.00995659 + 0.0287677i
\(685\) 6.05826 + 3.89341i 0.231474 + 0.148760i
\(686\) −0.330084 24.4511i −0.0126027 0.933549i
\(687\) −15.3759 + 4.51477i −0.586626 + 0.172249i
\(688\) −12.3468 + 17.3387i −0.470717 + 0.661030i
\(689\) −4.41355 + 7.64449i −0.168143 + 0.291232i
\(690\) 4.50302 1.46414i 0.171427 0.0557388i
\(691\) −1.71358 2.96800i −0.0651876 0.112908i 0.831590 0.555391i \(-0.187431\pi\)
−0.896777 + 0.442482i \(0.854098\pi\)
\(692\) −0.560964 1.22834i −0.0213246 0.0466945i
\(693\) −4.68768 12.7012i −0.178070 0.482478i
\(694\) −4.86826 + 5.61828i −0.184797 + 0.213267i
\(695\) 0.354927 7.45084i 0.0134632 0.282626i
\(696\) 10.7314 2.06830i 0.406772 0.0783988i
\(697\) −22.0680 8.83470i −0.835885 0.334638i
\(698\) −3.41310 14.0690i −0.129188 0.532519i
\(699\) −8.71662 + 5.60183i −0.329693 + 0.211881i
\(700\) −1.30830 2.71694i −0.0494490 0.102691i
\(701\) −6.76472 + 14.8127i −0.255500 + 0.559467i −0.993302 0.115551i \(-0.963137\pi\)
0.737802 + 0.675017i \(0.235864\pi\)
\(702\) −2.65447 + 0.253471i −0.100187 + 0.00956665i
\(703\) −21.2047 16.6755i −0.799749 0.628930i
\(704\) −2.12955 44.7048i −0.0802605 1.68487i
\(705\) −0.0468330 0.193048i −0.00176383 0.00727062i
\(706\) −6.26560 43.5782i −0.235809 1.64009i
\(707\) 10.0770 + 38.1311i 0.378984 + 1.43407i
\(708\) 0.480186 + 0.308597i 0.0180465 + 0.0115978i
\(709\) −15.7916 3.04358i −0.593065 0.114304i −0.116117 0.993236i \(-0.537045\pi\)
−0.476948 + 0.878932i \(0.658257\pi\)
\(710\) 2.34102 9.64982i 0.0878569 0.362151i
\(711\) −11.3352 1.08238i −0.425101 0.0405923i
\(712\) 15.4023 + 26.6776i 0.577226 + 0.999784i
\(713\) 18.6221 8.08410i 0.697404 0.302752i
\(714\) −6.75842 3.31177i −0.252928 0.123940i
\(715\) −3.21023 7.02942i −0.120056 0.262885i
\(716\) −0.560491 0.534427i −0.0209465 0.0199725i
\(717\) −7.29252 21.0704i −0.272344 0.786887i
\(718\) −3.06275 + 1.57896i −0.114301 + 0.0589261i
\(719\) −11.8810 + 34.3278i −0.443085 + 1.28021i 0.473650 + 0.880713i \(0.342936\pi\)
−0.916735 + 0.399496i \(0.869185\pi\)
\(720\) −0.364042 2.53197i −0.0135670 0.0943608i
\(721\) 3.78727 1.19634i 0.141045 0.0445541i
\(722\) 10.4158 6.69382i 0.387635 0.249118i
\(723\) −21.5967 + 8.64602i −0.803190 + 0.321549i
\(724\) 1.64276 + 2.30693i 0.0610525 + 0.0857363i
\(725\) −9.44830 13.2683i −0.350901 0.492771i
\(726\) −18.6133 + 7.45164i −0.690804 + 0.276556i
\(727\) 16.5476 10.6345i 0.613718 0.394413i −0.196532 0.980497i \(-0.562968\pi\)
0.810250 + 0.586085i \(0.199332\pi\)
\(728\) 3.43759 15.5452i 0.127406 0.576143i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 4.12305 11.9128i 0.152601 0.440912i
\(731\) −11.9155 + 6.14286i −0.440710 + 0.227202i
\(732\) −0.847767 2.44946i −0.0313344 0.0905347i
\(733\) −38.5024 36.7120i −1.42212 1.35599i −0.839639 0.543145i \(-0.817233\pi\)
−0.582482 0.812844i \(-0.697918\pi\)
\(734\) 4.19810 + 9.19255i 0.154955 + 0.339303i
\(735\) 5.18614 0.709339i 0.191294 0.0261644i
\(736\) −2.07367 + 6.59979i −0.0764364 + 0.243271i
\(737\) 36.5190 + 63.2527i 1.34519 + 2.32994i
\(738\) −14.5020 1.38477i −0.533825 0.0509741i
\(739\) 8.19343 33.7738i 0.301400 1.24239i −0.596652 0.802500i \(-0.703503\pi\)
0.898052 0.439888i \(-0.144982\pi\)
\(740\) −1.63882 0.315856i −0.0602441 0.0116111i
\(741\) 5.27029 + 3.38701i 0.193609 + 0.124425i
\(742\) −10.8336 + 10.7594i −0.397714 + 0.394992i
\(743\) −2.53895 17.6588i −0.0931450 0.647838i −0.981892 0.189440i \(-0.939333\pi\)
0.888747 0.458398i \(-0.151576\pi\)
\(744\) −2.97359 12.2573i −0.109017 0.449375i
\(745\) 0.276472 + 5.80385i 0.0101291 + 0.212637i
\(746\) −6.35441 4.99717i −0.232652 0.182959i
\(747\) 14.5521 1.38956i 0.532433 0.0508412i
\(748\) 1.17542 2.57382i 0.0429777 0.0941080i
\(749\) −14.3909 29.8856i −0.525832 1.09200i
\(750\) −7.84152 + 5.03944i −0.286332 + 0.184014i
\(751\) 2.27308 + 9.36975i 0.0829457 + 0.341907i 0.998130 0.0611290i \(-0.0194701\pi\)
−0.915184 + 0.403036i \(0.867955\pi\)
\(752\) −0.843651 0.337747i −0.0307648 0.0123164i
\(753\) −9.67506 + 1.86471i −0.352579 + 0.0679540i
\(754\) 0.465382 9.76957i 0.0169482 0.355787i
\(755\) −3.18618 + 3.67705i −0.115957 + 0.133821i
\(756\) 0.669253 + 0.114905i 0.0243405 + 0.00417905i
\(757\) 7.48830 + 16.3971i 0.272167 + 0.595962i 0.995524 0.0945122i \(-0.0301291\pi\)
−0.723357 + 0.690474i \(0.757402\pi\)
\(758\) −6.68743 11.5830i −0.242898 0.420712i
\(759\) 24.5307 0.705805i 0.890407 0.0256191i
\(760\) −3.45580 + 5.98562i −0.125355 + 0.217121i
\(761\) −14.5664 + 20.4556i −0.528032 + 0.741517i −0.989324 0.145731i \(-0.953446\pi\)
0.461293 + 0.887248i \(0.347386\pi\)
\(762\) 6.70766 1.96955i 0.242993 0.0713491i
\(763\) 19.8271 8.41003i 0.717790 0.304463i
\(764\) 2.38222 + 1.53096i 0.0861857 + 0.0553882i
\(765\) 0.526921 1.52244i 0.0190509 0.0550439i
\(766\) 22.6117 + 9.05237i 0.816995 + 0.327075i
\(767\) 3.25064 3.09948i 0.117374 0.111916i
\(768\) 5.38096 + 2.77408i 0.194169 + 0.100101i
\(769\) −5.81313 + 40.4312i −0.209627 + 1.45799i 0.564750 + 0.825262i \(0.308973\pi\)
−0.774377 + 0.632725i \(0.781936\pi\)
\(770\) −2.17139 13.1896i −0.0782515 0.475319i
\(771\) 5.19691 11.3796i 0.187162 0.409828i
\(772\) 2.58180 1.03360i 0.0929211