Properties

Label 43.2.g.a.14.3
Level $43$
Weight $2$
Character 43.14
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 14.3
Character \(\chi\) \(=\) 43.14
Dual form 43.2.g.a.40.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.993512 - 0.478450i) q^{2} +(-0.0482746 - 0.644179i) q^{3} +(-0.488828 + 0.612971i) q^{4} +(-3.17479 + 0.979294i) q^{5} +(-0.356169 - 0.616903i) q^{6} +(1.23273 - 2.13515i) q^{7} +(-0.683135 + 2.99301i) q^{8} +(2.55386 - 0.384932i) q^{9} +O(q^{10})\) \(q+(0.993512 - 0.478450i) q^{2} +(-0.0482746 - 0.644179i) q^{3} +(-0.488828 + 0.612971i) q^{4} +(-3.17479 + 0.979294i) q^{5} +(-0.356169 - 0.616903i) q^{6} +(1.23273 - 2.13515i) q^{7} +(-0.683135 + 2.99301i) q^{8} +(2.55386 - 0.384932i) q^{9} +(-2.68565 + 2.49192i) q^{10} +(0.748014 + 0.937980i) q^{11} +(0.418461 + 0.285302i) q^{12} +(-4.22417 - 3.91945i) q^{13} +(0.203169 - 2.71110i) q^{14} +(0.784103 + 1.99786i) q^{15} +(0.404382 + 1.77171i) q^{16} +(1.02040 + 0.314752i) q^{17} +(2.35312 - 1.60433i) q^{18} +(2.13226 + 0.321387i) q^{19} +(0.951649 - 2.42476i) q^{20} +(-1.43493 - 0.691027i) q^{21} +(1.19194 + 0.574007i) q^{22} +(-2.16225 + 5.50933i) q^{23} +(1.96101 + 0.295575i) q^{24} +(4.98911 - 3.40152i) q^{25} +(-6.07203 - 1.87297i) q^{26} +(-0.802487 - 3.51593i) q^{27} +(0.706193 + 1.79935i) q^{28} +(0.177883 - 2.37368i) q^{29} +(1.73489 + 1.60975i) q^{30} +(6.31519 + 4.30562i) q^{31} +(-2.57877 - 3.23367i) q^{32} +(0.568117 - 0.527136i) q^{33} +(1.16437 - 0.175501i) q^{34} +(-1.82273 + 7.98588i) q^{35} +(-1.01244 + 1.75360i) q^{36} +(-2.83033 - 4.90228i) q^{37} +(2.27220 - 0.700880i) q^{38} +(-2.32091 + 2.91033i) q^{39} +(-0.762225 - 10.1712i) q^{40} +(-8.77658 + 4.22658i) q^{41} -1.75624 q^{42} +(-2.45449 + 6.08075i) q^{43} -0.940604 q^{44} +(-7.73101 + 3.72306i) q^{45} +(0.487716 + 6.50812i) q^{46} +(3.30437 - 4.14355i) q^{47} +(1.12178 - 0.346023i) q^{48} +(0.460743 + 0.798031i) q^{49} +(3.32928 - 5.76649i) q^{50} +(0.153497 - 0.672515i) q^{51} +(4.46740 - 0.673352i) q^{52} +(2.69519 - 2.50077i) q^{53} +(-2.47948 - 3.10917i) q^{54} +(-3.29335 - 2.24537i) q^{55} +(5.54842 + 5.14818i) q^{56} +(0.104097 - 1.38907i) q^{57} +(-0.958961 - 2.44339i) q^{58} +(0.208748 + 0.914583i) q^{59} +(-1.60792 - 0.495978i) q^{60} +(-2.31407 + 1.57771i) q^{61} +(8.33425 + 1.25619i) q^{62} +(2.32633 - 5.92739i) q^{63} +(-7.38381 - 3.55585i) q^{64} +(17.2492 + 8.30676i) q^{65} +(0.312223 - 0.795532i) q^{66} +(11.8546 + 1.78679i) q^{67} +(-0.691734 + 0.471616i) q^{68} +(3.65338 + 1.12692i) q^{69} +(2.00995 + 8.80616i) q^{70} +(-5.54884 - 14.1382i) q^{71} +(-0.592523 + 7.90668i) q^{72} +(-4.99699 - 4.63653i) q^{73} +(-5.15747 - 3.51630i) q^{74} +(-2.43203 - 3.04967i) q^{75} +(-1.23931 + 1.14991i) q^{76} +(2.92483 - 0.440848i) q^{77} +(-0.913405 + 4.00189i) q^{78} +(-1.18802 + 2.05771i) q^{79} +(-3.01886 - 5.22882i) q^{80} +(5.17773 - 1.59712i) q^{81} +(-6.69743 + 8.39832i) q^{82} +(-0.533459 - 7.11852i) q^{83} +(1.12501 - 0.541778i) q^{84} -3.54780 q^{85} +(0.470767 + 7.21565i) q^{86} -1.53767 q^{87} +(-3.31838 + 1.59805i) q^{88} +(-0.113343 - 1.51246i) q^{89} +(-5.89955 + 7.39780i) q^{90} +(-13.5759 + 4.18761i) q^{91} +(-2.32009 - 4.01851i) q^{92} +(2.46873 - 4.27597i) q^{93} +(1.30045 - 5.69764i) q^{94} +(-7.08423 + 1.06778i) q^{95} +(-1.95858 + 1.81729i) q^{96} +(-6.73777 - 8.44890i) q^{97} +(0.839572 + 0.572410i) q^{98} +(2.27138 + 2.10753i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{10}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.993512 0.478450i 0.702519 0.338315i −0.0482911 0.998833i \(-0.515378\pi\)
0.750810 + 0.660518i \(0.229663\pi\)
\(3\) −0.0482746 0.644179i −0.0278713 0.371917i −0.993647 0.112539i \(-0.964102\pi\)
0.965776 0.259378i \(-0.0835175\pi\)
\(4\) −0.488828 + 0.612971i −0.244414 + 0.306485i
\(5\) −3.17479 + 0.979294i −1.41981 + 0.437954i −0.907212 0.420674i \(-0.861794\pi\)
−0.512599 + 0.858628i \(0.671317\pi\)
\(6\) −0.356169 0.616903i −0.145405 0.251850i
\(7\) 1.23273 2.13515i 0.465929 0.807013i −0.533314 0.845917i \(-0.679054\pi\)
0.999243 + 0.0389048i \(0.0123869\pi\)
\(8\) −0.683135 + 2.99301i −0.241525 + 1.05819i
\(9\) 2.55386 0.384932i 0.851285 0.128311i
\(10\) −2.68565 + 2.49192i −0.849278 + 0.788015i
\(11\) 0.748014 + 0.937980i 0.225535 + 0.282812i 0.881705 0.471801i \(-0.156396\pi\)
−0.656170 + 0.754613i \(0.727825\pi\)
\(12\) 0.418461 + 0.285302i 0.120799 + 0.0823596i
\(13\) −4.22417 3.91945i −1.17157 1.08706i −0.994699 0.102828i \(-0.967211\pi\)
−0.176874 0.984233i \(-0.556599\pi\)
\(14\) 0.203169 2.71110i 0.0542992 0.724573i
\(15\) 0.784103 + 1.99786i 0.202455 + 0.515846i
\(16\) 0.404382 + 1.77171i 0.101096 + 0.442928i
\(17\) 1.02040 + 0.314752i 0.247483 + 0.0763385i 0.416015 0.909358i \(-0.363426\pi\)
−0.168532 + 0.985696i \(0.553903\pi\)
\(18\) 2.35312 1.60433i 0.554635 0.378144i
\(19\) 2.13226 + 0.321387i 0.489175 + 0.0737312i 0.388998 0.921238i \(-0.372821\pi\)
0.100176 + 0.994970i \(0.468059\pi\)
\(20\) 0.951649 2.42476i 0.212795 0.542193i
\(21\) −1.43493 0.691027i −0.313128 0.150794i
\(22\) 1.19194 + 0.574007i 0.254122 + 0.122379i
\(23\) −2.16225 + 5.50933i −0.450861 + 1.14877i 0.507103 + 0.861886i \(0.330716\pi\)
−0.957964 + 0.286889i \(0.907379\pi\)
\(24\) 1.96101 + 0.295575i 0.400290 + 0.0603340i
\(25\) 4.98911 3.40152i 0.997821 0.680303i
\(26\) −6.07203 1.87297i −1.19082 0.367320i
\(27\) −0.802487 3.51593i −0.154439 0.676641i
\(28\) 0.706193 + 1.79935i 0.133458 + 0.340045i
\(29\) 0.177883 2.37368i 0.0330320 0.440782i −0.956029 0.293273i \(-0.905255\pi\)
0.989061 0.147509i \(-0.0471255\pi\)
\(30\) 1.73489 + 1.60975i 0.316747 + 0.293898i
\(31\) 6.31519 + 4.30562i 1.13424 + 0.773313i 0.976787 0.214213i \(-0.0687188\pi\)
0.157455 + 0.987526i \(0.449671\pi\)
\(32\) −2.57877 3.23367i −0.455866 0.571638i
\(33\) 0.568117 0.527136i 0.0988965 0.0917626i
\(34\) 1.16437 0.175501i 0.199688 0.0300982i
\(35\) −1.82273 + 7.98588i −0.308097 + 1.34986i
\(36\) −1.01244 + 1.75360i −0.168741 + 0.292267i
\(37\) −2.83033 4.90228i −0.465304 0.805930i 0.533911 0.845541i \(-0.320722\pi\)
−0.999215 + 0.0396104i \(0.987388\pi\)
\(38\) 2.27220 0.700880i 0.368599 0.113698i
\(39\) −2.32091 + 2.91033i −0.371643 + 0.466026i
\(40\) −0.762225 10.1712i −0.120518 1.60820i
\(41\) −8.77658 + 4.22658i −1.37067 + 0.660081i −0.966989 0.254818i \(-0.917984\pi\)
−0.403683 + 0.914899i \(0.632270\pi\)
\(42\) −1.75624 −0.270994
\(43\) −2.45449 + 6.08075i −0.374306 + 0.927305i
\(44\) −0.940604 −0.141801
\(45\) −7.73101 + 3.72306i −1.15247 + 0.555000i
\(46\) 0.487716 + 6.50812i 0.0719098 + 0.959570i
\(47\) 3.30437 4.14355i 0.481992 0.604398i −0.480070 0.877230i \(-0.659389\pi\)
0.962062 + 0.272832i \(0.0879602\pi\)
\(48\) 1.12178 0.346023i 0.161915 0.0499442i
\(49\) 0.460743 + 0.798031i 0.0658205 + 0.114004i
\(50\) 3.32928 5.76649i 0.470832 0.815504i
\(51\) 0.153497 0.672515i 0.0214939 0.0941710i
\(52\) 4.46740 0.673352i 0.619517 0.0933772i
\(53\) 2.69519 2.50077i 0.370212 0.343507i −0.473024 0.881049i \(-0.656838\pi\)
0.843237 + 0.537542i \(0.180647\pi\)
\(54\) −2.47948 3.10917i −0.337414 0.423104i
\(55\) −3.29335 2.24537i −0.444075 0.302765i
\(56\) 5.54842 + 5.14818i 0.741438 + 0.687954i
\(57\) 0.104097 1.38907i 0.0137880 0.183987i
\(58\) −0.958961 2.44339i −0.125918 0.320833i
\(59\) 0.208748 + 0.914583i 0.0271766 + 0.119069i 0.986697 0.162571i \(-0.0519788\pi\)
−0.959520 + 0.281640i \(0.909122\pi\)
\(60\) −1.60792 0.495978i −0.207582 0.0640305i
\(61\) −2.31407 + 1.57771i −0.296287 + 0.202005i −0.702335 0.711847i \(-0.747859\pi\)
0.406048 + 0.913852i \(0.366907\pi\)
\(62\) 8.33425 + 1.25619i 1.05845 + 0.159536i
\(63\) 2.32633 5.92739i 0.293090 0.746782i
\(64\) −7.38381 3.55585i −0.922976 0.444482i
\(65\) 17.2492 + 8.30676i 2.13950 + 1.03033i
\(66\) 0.312223 0.795532i 0.0384320 0.0979232i
\(67\) 11.8546 + 1.78679i 1.44827 + 0.218291i 0.825628 0.564216i \(-0.190821\pi\)
0.622642 + 0.782507i \(0.286059\pi\)
\(68\) −0.691734 + 0.471616i −0.0838850 + 0.0571919i
\(69\) 3.65338 + 1.12692i 0.439815 + 0.135665i
\(70\) 2.00995 + 8.80616i 0.240235 + 1.05254i
\(71\) −5.54884 14.1382i −0.658527 1.67790i −0.732612 0.680647i \(-0.761699\pi\)
0.0740851 0.997252i \(-0.476396\pi\)
\(72\) −0.592523 + 7.90668i −0.0698296 + 0.931811i
\(73\) −4.99699 4.63653i −0.584853 0.542664i 0.331283 0.943531i \(-0.392518\pi\)
−0.916136 + 0.400867i \(0.868709\pi\)
\(74\) −5.15747 3.51630i −0.599544 0.408762i
\(75\) −2.43203 3.04967i −0.280827 0.352146i
\(76\) −1.23931 + 1.14991i −0.142159 + 0.131904i
\(77\) 2.92483 0.440848i 0.333316 0.0502393i
\(78\) −0.913405 + 4.00189i −0.103423 + 0.453125i
\(79\) −1.18802 + 2.05771i −0.133662 + 0.231510i −0.925086 0.379759i \(-0.876007\pi\)
0.791423 + 0.611268i \(0.209340\pi\)
\(80\) −3.01886 5.22882i −0.337519 0.584599i
\(81\) 5.17773 1.59712i 0.575304 0.177458i
\(82\) −6.69743 + 8.39832i −0.739608 + 0.927439i
\(83\) −0.533459 7.11852i −0.0585548 0.781359i −0.946766 0.321923i \(-0.895671\pi\)
0.888211 0.459436i \(-0.151948\pi\)
\(84\) 1.12501 0.541778i 0.122749 0.0591128i
\(85\) −3.54780 −0.384813
\(86\) 0.470767 + 7.21565i 0.0507642 + 0.778083i
\(87\) −1.53767 −0.164855
\(88\) −3.31838 + 1.59805i −0.353740 + 0.170352i
\(89\) −0.113343 1.51246i −0.0120143 0.160320i −0.999984 0.00567185i \(-0.998195\pi\)
0.987970 0.154648i \(-0.0494245\pi\)
\(90\) −5.89955 + 7.39780i −0.621867 + 0.779797i
\(91\) −13.5759 + 4.18761i −1.42314 + 0.438981i
\(92\) −2.32009 4.01851i −0.241886 0.418959i
\(93\) 2.46873 4.27597i 0.255995 0.443397i
\(94\) 1.30045 5.69764i 0.134131 0.587667i
\(95\) −7.08423 + 1.06778i −0.726827 + 0.109551i
\(96\) −1.95858 + 1.81729i −0.199896 + 0.185477i
\(97\) −6.73777 8.44890i −0.684117 0.857856i 0.311609 0.950210i \(-0.399132\pi\)
−0.995726 + 0.0923546i \(0.970561\pi\)
\(98\) 0.839572 + 0.572410i 0.0848096 + 0.0578222i
\(99\) 2.27138 + 2.10753i 0.228282 + 0.211815i
\(100\) −0.353785 + 4.72093i −0.0353785 + 0.472093i
\(101\) 4.38155 + 11.1640i 0.435981 + 1.11086i 0.965000 + 0.262251i \(0.0844647\pi\)
−0.529019 + 0.848610i \(0.677440\pi\)
\(102\) −0.169264 0.741593i −0.0167596 0.0734287i
\(103\) 10.0219 + 3.09135i 0.987489 + 0.304600i 0.746104 0.665829i \(-0.231922\pi\)
0.241385 + 0.970429i \(0.422398\pi\)
\(104\) 14.6166 9.96546i 1.43328 0.977193i
\(105\) 5.23233 + 0.788647i 0.510623 + 0.0769641i
\(106\) 1.48121 3.77406i 0.143868 0.366569i
\(107\) 8.45359 + 4.07104i 0.817240 + 0.393562i 0.795314 0.606198i \(-0.207306\pi\)
0.0219258 + 0.999760i \(0.493020\pi\)
\(108\) 2.54744 + 1.22678i 0.245127 + 0.118047i
\(109\) −5.33036 + 13.5815i −0.510556 + 1.30087i 0.410648 + 0.911794i \(0.365302\pi\)
−0.921204 + 0.389080i \(0.872793\pi\)
\(110\) −4.34628 0.655096i −0.414401 0.0624610i
\(111\) −3.02132 + 2.05990i −0.286771 + 0.195517i
\(112\) 4.28138 + 1.32063i 0.404552 + 0.124788i
\(113\) 0.492626 + 2.15834i 0.0463424 + 0.203039i 0.992799 0.119792i \(-0.0382226\pi\)
−0.946457 + 0.322831i \(0.895365\pi\)
\(114\) −0.561182 1.42987i −0.0525595 0.133919i
\(115\) 1.46945 19.6085i 0.137027 1.82850i
\(116\) 1.36804 + 1.26936i 0.127020 + 0.117857i
\(117\) −12.2966 8.38371i −1.13682 0.775074i
\(118\) 0.644976 + 0.808774i 0.0593748 + 0.0744537i
\(119\) 1.92992 1.79071i 0.176916 0.164154i
\(120\) −6.51527 + 0.982019i −0.594760 + 0.0896456i
\(121\) 2.12745 9.32096i 0.193404 0.847360i
\(122\) −1.54420 + 2.67464i −0.139806 + 0.242150i
\(123\) 3.14636 + 5.44966i 0.283698 + 0.491379i
\(124\) −5.72626 + 1.76632i −0.514234 + 0.158620i
\(125\) −2.15089 + 2.69713i −0.192382 + 0.241239i
\(126\) −0.524725 7.00197i −0.0467462 0.623785i
\(127\) −0.116462 + 0.0560852i −0.0103343 + 0.00497676i −0.439044 0.898466i \(-0.644683\pi\)
0.428709 + 0.903442i \(0.358968\pi\)
\(128\) −0.765157 −0.0676310
\(129\) 4.03558 + 1.28759i 0.355313 + 0.113366i
\(130\) 21.1116 1.85161
\(131\) 1.92224 0.925700i 0.167946 0.0808788i −0.348022 0.937486i \(-0.613147\pi\)
0.515968 + 0.856608i \(0.327432\pi\)
\(132\) 0.0454073 + 0.605918i 0.00395220 + 0.0527384i
\(133\) 3.31472 4.15653i 0.287423 0.360417i
\(134\) 12.6326 3.89663i 1.09129 0.336618i
\(135\) 5.99086 + 10.3765i 0.515611 + 0.893065i
\(136\) −1.63913 + 2.83905i −0.140554 + 0.243447i
\(137\) −0.137699 + 0.603299i −0.0117644 + 0.0515433i −0.980469 0.196672i \(-0.936987\pi\)
0.968705 + 0.248215i \(0.0798439\pi\)
\(138\) 4.16885 0.628353i 0.354876 0.0534890i
\(139\) −6.96371 + 6.46138i −0.590654 + 0.548047i −0.917859 0.396906i \(-0.870084\pi\)
0.327205 + 0.944953i \(0.393893\pi\)
\(140\) −4.00411 5.02100i −0.338409 0.424352i
\(141\) −2.82870 1.92858i −0.238220 0.162416i
\(142\) −12.2773 11.3917i −1.03029 0.955966i
\(143\) 0.516633 6.89399i 0.0432030 0.576505i
\(144\) 1.71472 + 4.36904i 0.142894 + 0.364087i
\(145\) 1.75979 + 7.71016i 0.146143 + 0.640294i
\(146\) −7.18292 2.21564i −0.594462 0.183367i
\(147\) 0.491833 0.335326i 0.0405657 0.0276572i
\(148\) 4.38850 + 0.661460i 0.360733 + 0.0543717i
\(149\) −1.57707 + 4.01830i −0.129198 + 0.329192i −0.980806 0.194989i \(-0.937533\pi\)
0.851607 + 0.524180i \(0.175628\pi\)
\(150\) −3.87537 1.86628i −0.316423 0.152381i
\(151\) −4.00622 1.92929i −0.326022 0.157004i 0.263712 0.964601i \(-0.415053\pi\)
−0.589734 + 0.807598i \(0.700767\pi\)
\(152\) −2.41854 + 6.16233i −0.196169 + 0.499831i
\(153\) 2.72711 + 0.411046i 0.220474 + 0.0332311i
\(154\) 2.69493 1.83737i 0.217164 0.148060i
\(155\) −24.2659 7.48504i −1.94908 0.601213i
\(156\) −0.649422 2.84530i −0.0519953 0.227806i
\(157\) 5.11902 + 13.0430i 0.408542 + 1.04095i 0.976043 + 0.217576i \(0.0698149\pi\)
−0.567502 + 0.823372i \(0.692090\pi\)
\(158\) −0.195799 + 2.61276i −0.0155770 + 0.207860i
\(159\) −1.74105 1.61546i −0.138074 0.128114i
\(160\) 11.3538 + 7.74087i 0.897595 + 0.611970i
\(161\) 9.09779 + 11.4083i 0.717007 + 0.899098i
\(162\) 4.38000 4.06404i 0.344125 0.319302i
\(163\) 1.88482 0.284091i 0.147630 0.0222517i −0.0748113 0.997198i \(-0.523835\pi\)
0.222442 + 0.974946i \(0.428597\pi\)
\(164\) 1.69947 7.44586i 0.132706 0.581424i
\(165\) −1.28743 + 2.22990i −0.100227 + 0.173598i
\(166\) −3.93586 6.81710i −0.305482 0.529110i
\(167\) −13.2910 + 4.09972i −1.02849 + 0.317246i −0.762677 0.646780i \(-0.776115\pi\)
−0.265809 + 0.964026i \(0.585639\pi\)
\(168\) 3.04850 3.82270i 0.235197 0.294928i
\(169\) 1.50997 + 20.1492i 0.116152 + 1.54994i
\(170\) −3.52478 + 1.69744i −0.270338 + 0.130188i
\(171\) 5.56920 0.425888
\(172\) −2.52750 4.47697i −0.192720 0.341366i
\(173\) −9.52832 −0.724424 −0.362212 0.932096i \(-0.617978\pi\)
−0.362212 + 0.932096i \(0.617978\pi\)
\(174\) −1.52769 + 0.735696i −0.115814 + 0.0557730i
\(175\) −1.11253 14.8457i −0.0840993 1.12223i
\(176\) −1.35935 + 1.70457i −0.102465 + 0.128487i
\(177\) 0.579078 0.178622i 0.0435262 0.0134260i
\(178\) −0.836244 1.44842i −0.0626791 0.108563i
\(179\) 3.21069 5.56108i 0.239978 0.415655i −0.720729 0.693216i \(-0.756193\pi\)
0.960708 + 0.277562i \(0.0895263\pi\)
\(180\) 1.49701 6.55881i 0.111580 0.488865i
\(181\) 8.53898 1.28704i 0.634697 0.0956652i 0.176191 0.984356i \(-0.443623\pi\)
0.458507 + 0.888691i \(0.348384\pi\)
\(182\) −11.4843 + 10.6558i −0.851270 + 0.789863i
\(183\) 1.12804 + 1.41451i 0.0833869 + 0.104564i
\(184\) −15.0124 10.2353i −1.10673 0.754553i
\(185\) 13.7865 + 12.7920i 1.01360 + 0.940487i
\(186\) 0.406877 5.42939i 0.0298336 0.398102i
\(187\) 0.468043 + 1.19255i 0.0342267 + 0.0872082i
\(188\) 0.924605 + 4.05096i 0.0674338 + 0.295447i
\(189\) −8.49630 2.62076i −0.618015 0.190632i
\(190\) −6.52739 + 4.45030i −0.473547 + 0.322859i
\(191\) −2.21966 0.334559i −0.160609 0.0242079i 0.0682457 0.997669i \(-0.478260\pi\)
−0.228854 + 0.973461i \(0.573498\pi\)
\(192\) −1.93416 + 4.92815i −0.139586 + 0.355659i
\(193\) −15.2825 7.35968i −1.10006 0.529761i −0.206383 0.978471i \(-0.566169\pi\)
−0.893678 + 0.448710i \(0.851884\pi\)
\(194\) −10.7364 5.17040i −0.770831 0.371213i
\(195\) 4.51835 11.5126i 0.323566 0.824431i
\(196\) −0.714394 0.107677i −0.0510281 0.00769125i
\(197\) −4.64209 + 3.16493i −0.330736 + 0.225492i −0.717290 0.696775i \(-0.754618\pi\)
0.386554 + 0.922267i \(0.373665\pi\)
\(198\) 3.26499 + 1.00712i 0.232033 + 0.0715726i
\(199\) 4.08945 + 17.9170i 0.289893 + 1.27011i 0.884671 + 0.466216i \(0.154383\pi\)
−0.594778 + 0.803890i \(0.702760\pi\)
\(200\) 6.77254 + 17.2561i 0.478891 + 1.22019i
\(201\) 0.578740 7.72274i 0.0408211 0.544720i
\(202\) 9.69455 + 8.99523i 0.682106 + 0.632902i
\(203\) −4.84890 3.30592i −0.340326 0.232030i
\(204\) 0.337199 + 0.422834i 0.0236086 + 0.0296043i
\(205\) 23.7248 22.0134i 1.65701 1.53748i
\(206\) 11.4360 1.72369i 0.796781 0.120095i
\(207\) −3.40137 + 14.9024i −0.236411 + 1.03579i
\(208\) 5.23597 9.06897i 0.363049 0.628820i
\(209\) 1.29351 + 2.24042i 0.0894738 + 0.154973i
\(210\) 5.57571 1.71988i 0.384761 0.118683i
\(211\) 16.5493 20.7522i 1.13930 1.42864i 0.251830 0.967771i \(-0.418968\pi\)
0.887470 0.460865i \(-0.152461\pi\)
\(212\) 0.215415 + 2.87452i 0.0147948 + 0.197423i
\(213\) −8.83968 + 4.25697i −0.605685 + 0.291683i
\(214\) 10.3465 0.707275
\(215\) 1.83766 21.7088i 0.125328 1.48053i
\(216\) 11.0714 0.753314
\(217\) 16.9781 8.17623i 1.15255 0.555038i
\(218\) 1.20231 + 16.0437i 0.0814308 + 1.08662i
\(219\) −2.74553 + 3.44278i −0.185526 + 0.232642i
\(220\) 2.98623 0.921128i 0.201331 0.0621025i
\(221\) −3.07669 5.32898i −0.206960 0.358466i
\(222\) −2.01616 + 3.49208i −0.135315 + 0.234373i
\(223\) −4.19133 + 18.3634i −0.280672 + 1.22970i 0.616262 + 0.787541i \(0.288646\pi\)
−0.896934 + 0.442164i \(0.854211\pi\)
\(224\) −10.0833 + 1.51982i −0.673720 + 0.101547i
\(225\) 11.4321 10.6074i 0.762141 0.707163i
\(226\) 1.52209 + 1.90864i 0.101248 + 0.126961i
\(227\) −2.52166 1.71924i −0.167369 0.114110i 0.476739 0.879045i \(-0.341819\pi\)
−0.644108 + 0.764935i \(0.722771\pi\)
\(228\) 0.800577 + 0.742827i 0.0530195 + 0.0491949i
\(229\) −0.742392 + 9.90653i −0.0490586 + 0.654642i 0.917424 + 0.397911i \(0.130265\pi\)
−0.966483 + 0.256731i \(0.917354\pi\)
\(230\) −7.92176 20.1843i −0.522345 1.33091i
\(231\) −0.425180 1.86284i −0.0279748 0.122566i
\(232\) 6.98294 + 2.15395i 0.458452 + 0.141414i
\(233\) −6.09982 + 4.15878i −0.399612 + 0.272451i −0.746407 0.665490i \(-0.768223\pi\)
0.346794 + 0.937941i \(0.387270\pi\)
\(234\) −16.2280 2.44598i −1.06086 0.159899i
\(235\) −6.43294 + 16.3909i −0.419638 + 1.06922i
\(236\) −0.662654 0.319117i −0.0431351 0.0207728i
\(237\) 1.38288 + 0.665961i 0.0898278 + 0.0432588i
\(238\) 1.06064 2.70246i 0.0687510 0.175175i
\(239\) 14.7596 + 2.22464i 0.954716 + 0.143900i 0.607883 0.794027i \(-0.292019\pi\)
0.346833 + 0.937927i \(0.387257\pi\)
\(240\) −3.22256 + 2.19711i −0.208015 + 0.141823i
\(241\) 3.67789 + 1.13448i 0.236914 + 0.0730781i 0.410938 0.911663i \(-0.365201\pi\)
−0.174025 + 0.984741i \(0.555677\pi\)
\(242\) −2.34597 10.2784i −0.150805 0.660719i
\(243\) −5.23142 13.3294i −0.335596 0.855084i
\(244\) 0.164094 2.18969i 0.0105051 0.140180i
\(245\) −2.24427 2.08238i −0.143381 0.133038i
\(246\) 5.73334 + 3.90892i 0.365544 + 0.249224i
\(247\) −7.74737 9.71490i −0.492954 0.618144i
\(248\) −17.2009 + 15.9601i −1.09226 + 1.01347i
\(249\) −4.55985 + 0.687287i −0.288969 + 0.0435550i
\(250\) −0.846494 + 3.70873i −0.0535370 + 0.234561i
\(251\) −7.11768 + 12.3282i −0.449264 + 0.778148i −0.998338 0.0576258i \(-0.981647\pi\)
0.549075 + 0.835773i \(0.314980\pi\)
\(252\) 2.49614 + 4.32345i 0.157242 + 0.272352i
\(253\) −6.78504 + 2.09291i −0.426572 + 0.131580i
\(254\) −0.0888726 + 0.111443i −0.00557636 + 0.00699254i
\(255\) 0.171268 + 2.28542i 0.0107252 + 0.143118i
\(256\) 14.0074 6.74562i 0.875464 0.421601i
\(257\) −6.95341 −0.433742 −0.216871 0.976200i \(-0.569585\pi\)
−0.216871 + 0.976200i \(0.569585\pi\)
\(258\) 4.62544 0.651591i 0.287968 0.0405663i
\(259\) −13.9562 −0.867194
\(260\) −13.5237 + 6.51266i −0.838702 + 0.403898i
\(261\) −0.459419 6.13052i −0.0284373 0.379470i
\(262\) 1.46686 1.83939i 0.0906231 0.113638i
\(263\) 6.90646 2.13036i 0.425871 0.131364i −0.0744085 0.997228i \(-0.523707\pi\)
0.500279 + 0.865864i \(0.333231\pi\)
\(264\) 1.18962 + 2.06049i 0.0732162 + 0.126814i
\(265\) −6.10768 + 10.5788i −0.375192 + 0.649851i
\(266\) 1.30452 5.71549i 0.0799854 0.350439i
\(267\) −0.968823 + 0.146027i −0.0592910 + 0.00893668i
\(268\) −6.89011 + 6.39309i −0.420880 + 0.390520i
\(269\) −2.32631 2.91711i −0.141838 0.177859i 0.705838 0.708373i \(-0.250570\pi\)
−0.847676 + 0.530514i \(0.821999\pi\)
\(270\) 10.9166 + 7.44282i 0.664364 + 0.452956i
\(271\) −10.5145 9.75608i −0.638713 0.592639i 0.292877 0.956150i \(-0.405387\pi\)
−0.931590 + 0.363511i \(0.881578\pi\)
\(272\) −0.145018 + 1.93514i −0.00879304 + 0.117335i
\(273\) 3.35294 + 8.54316i 0.202929 + 0.517056i
\(274\) 0.151843 + 0.665267i 0.00917317 + 0.0401903i
\(275\) 6.92248 + 2.13530i 0.417441 + 0.128763i
\(276\) −2.47664 + 1.68855i −0.149076 + 0.101638i
\(277\) −25.3438 3.81996i −1.52276 0.229519i −0.666281 0.745701i \(-0.732115\pi\)
−0.856479 + 0.516182i \(0.827353\pi\)
\(278\) −3.82708 + 9.75125i −0.229533 + 0.584841i
\(279\) 17.7855 + 8.56503i 1.06479 + 0.512775i
\(280\) −22.6567 10.9109i −1.35399 0.652049i
\(281\) 7.49491 19.0967i 0.447109 1.13921i −0.512702 0.858567i \(-0.671355\pi\)
0.959811 0.280648i \(-0.0905494\pi\)
\(282\) −3.73308 0.562671i −0.222302 0.0335066i
\(283\) −0.291221 + 0.198551i −0.0173113 + 0.0118027i −0.571945 0.820292i \(-0.693811\pi\)
0.554633 + 0.832095i \(0.312858\pi\)
\(284\) 11.3787 + 3.50988i 0.675204 + 0.208273i
\(285\) 1.02983 + 4.51197i 0.0610017 + 0.267266i
\(286\) −2.78515 7.09645i −0.164689 0.419622i
\(287\) −1.79477 + 23.9496i −0.105942 + 1.41370i
\(288\) −7.83054 7.26568i −0.461419 0.428134i
\(289\) −13.1039 8.93410i −0.770818 0.525535i
\(290\) 5.43730 + 6.81816i 0.319289 + 0.400376i
\(291\) −5.11734 + 4.74820i −0.299984 + 0.278344i
\(292\) 5.28472 0.796544i 0.309265 0.0466142i
\(293\) 5.80931 25.4523i 0.339384 1.48694i −0.460974 0.887414i \(-0.652500\pi\)
0.800357 0.599523i \(-0.204643\pi\)
\(294\) 0.328205 0.568468i 0.0191413 0.0331537i
\(295\) −1.55838 2.69919i −0.0907322 0.157153i
\(296\) 16.6061 5.12230i 0.965209 0.297727i
\(297\) 2.69760 3.38268i 0.156530 0.196283i
\(298\) 0.355722 + 4.74678i 0.0206064 + 0.274973i
\(299\) 30.7273 14.7975i 1.77700 0.855760i
\(300\) 3.05821 0.176566
\(301\) 9.95760 + 12.7366i 0.573947 + 0.734128i
\(302\) −4.90330 −0.282153
\(303\) 6.98011 3.36144i 0.400997 0.193110i
\(304\) 0.292843 + 3.90772i 0.0167957 + 0.224123i
\(305\) 5.80166 7.27505i 0.332202 0.416568i
\(306\) 2.90609 0.896409i 0.166130 0.0512443i
\(307\) 7.67349 + 13.2909i 0.437949 + 0.758551i 0.997531 0.0702244i \(-0.0223715\pi\)
−0.559582 + 0.828775i \(0.689038\pi\)
\(308\) −1.15951 + 2.00834i −0.0660694 + 0.114436i
\(309\) 1.50758 6.60515i 0.0857634 0.375754i
\(310\) −27.6897 + 4.17355i −1.57267 + 0.237042i
\(311\) 23.6164 21.9128i 1.33916 1.24256i 0.392729 0.919654i \(-0.371531\pi\)
0.946431 0.322905i \(-0.104659\pi\)
\(312\) −7.12515 8.93466i −0.403382 0.505826i
\(313\) 21.6774 + 14.7794i 1.22528 + 0.835380i 0.990613 0.136696i \(-0.0436484\pi\)
0.234665 + 0.972076i \(0.424601\pi\)
\(314\) 11.3263 + 10.5092i 0.639177 + 0.593070i
\(315\) −1.58096 + 21.0964i −0.0890769 + 1.18865i
\(316\) −0.680577 1.73408i −0.0382855 0.0975498i
\(317\) 0.463392 + 2.03025i 0.0260267 + 0.114030i 0.986273 0.165125i \(-0.0528027\pi\)
−0.960246 + 0.279155i \(0.909946\pi\)
\(318\) −2.50267 0.771973i −0.140343 0.0432901i
\(319\) 2.35953 1.60870i 0.132108 0.0900698i
\(320\) 26.9243 + 4.05818i 1.50511 + 0.226859i
\(321\) 2.21438 5.64216i 0.123595 0.314915i
\(322\) 14.4971 + 6.98142i 0.807890 + 0.389059i
\(323\) 2.07461 + 0.999077i 0.115434 + 0.0555901i
\(324\) −1.55203 + 3.95451i −0.0862240 + 0.219695i
\(325\) −34.4069 5.18601i −1.90855 0.287668i
\(326\) 1.73667 1.18404i 0.0961850 0.0655778i
\(327\) 9.00626 + 2.77806i 0.498047 + 0.153627i
\(328\) −6.65460 29.1557i −0.367439 1.60986i
\(329\) −4.77371 12.1632i −0.263183 0.670580i
\(330\) −0.212185 + 2.83141i −0.0116804 + 0.155864i
\(331\) −3.94165 3.65732i −0.216653 0.201024i 0.564379 0.825516i \(-0.309116\pi\)
−0.781032 + 0.624492i \(0.785306\pi\)
\(332\) 4.62421 + 3.15274i 0.253787 + 0.173029i
\(333\) −9.11531 11.4302i −0.499516 0.626373i
\(334\) −11.2432 + 10.4322i −0.615202 + 0.570824i
\(335\) −39.3857 + 5.93644i −2.15187 + 0.324342i
\(336\) 0.644041 2.82173i 0.0351353 0.153938i
\(337\) 6.11409 10.5899i 0.333055 0.576869i −0.650054 0.759888i \(-0.725254\pi\)
0.983109 + 0.183019i \(0.0585870\pi\)
\(338\) 11.1406 + 19.2960i 0.605967 + 1.04957i
\(339\) 1.36658 0.421533i 0.0742222 0.0228945i
\(340\) 1.73426 2.17470i 0.0940535 0.117939i
\(341\) 0.685262 + 9.14419i 0.0371090 + 0.495186i
\(342\) 5.53307 2.66459i 0.299194 0.144084i
\(343\) 19.5301 1.05453
\(344\) −16.5230 11.5003i −0.890859 0.620054i
\(345\) −12.7023 −0.683869
\(346\) −9.46650 + 4.55882i −0.508922 + 0.245084i
\(347\) 0.201738 + 2.69200i 0.0108299 + 0.144514i 0.999997 0.00227647i \(-0.000724624\pi\)
−0.989168 + 0.146791i \(0.953106\pi\)
\(348\) 0.751654 0.942544i 0.0402929 0.0505257i
\(349\) −7.19519 + 2.21942i −0.385150 + 0.118803i −0.481283 0.876566i \(-0.659829\pi\)
0.0961326 + 0.995369i \(0.469353\pi\)
\(350\) −8.20823 14.2171i −0.438748 0.759934i
\(351\) −10.3907 + 17.9972i −0.554613 + 0.960618i
\(352\) 1.10417 4.83766i 0.0588522 0.257848i
\(353\) 5.44003 0.819952i 0.289543 0.0436416i −0.00266456 0.999996i \(-0.500848\pi\)
0.292208 + 0.956355i \(0.405610\pi\)
\(354\) 0.489859 0.454523i 0.0260357 0.0241576i
\(355\) 31.4619 + 39.4520i 1.66983 + 2.09389i
\(356\) 0.982498 + 0.669855i 0.0520723 + 0.0355023i
\(357\) −1.24670 1.15677i −0.0659825 0.0612229i
\(358\) 0.529161 7.06116i 0.0279670 0.373194i
\(359\) −7.75539 19.7604i −0.409314 1.04292i −0.975765 0.218820i \(-0.929779\pi\)
0.566451 0.824095i \(-0.308316\pi\)
\(360\) −5.86182 25.6823i −0.308945 1.35358i
\(361\) −13.7126 4.22979i −0.721717 0.222620i
\(362\) 7.86779 5.36417i 0.413522 0.281935i
\(363\) −6.10707 0.920493i −0.320538 0.0483134i
\(364\) 4.06940 10.3687i 0.213294 0.543465i
\(365\) 20.4049 + 9.82650i 1.06804 + 0.514342i
\(366\) 1.79749 + 0.865627i 0.0939565 + 0.0452471i
\(367\) 4.40104 11.2137i 0.229733 0.585349i −0.768801 0.639488i \(-0.779146\pi\)
0.998533 + 0.0541392i \(0.0172415\pi\)
\(368\) −10.6353 1.60302i −0.554405 0.0835631i
\(369\) −20.7872 + 14.1725i −1.08214 + 0.737789i
\(370\) 19.8174 + 6.11286i 1.03026 + 0.317792i
\(371\) −2.01708 8.83742i −0.104722 0.458816i
\(372\) 1.41426 + 3.60347i 0.0733259 + 0.186831i
\(373\) −0.440427 + 5.87708i −0.0228044 + 0.304304i 0.974126 + 0.226007i \(0.0725672\pi\)
−0.996930 + 0.0782968i \(0.975052\pi\)
\(374\) 1.03558 + 0.960882i 0.0535488 + 0.0496860i
\(375\) 1.84127 + 1.25536i 0.0950829 + 0.0648264i
\(376\) 10.1443 + 12.7206i 0.523155 + 0.656015i
\(377\) −10.0550 + 9.32963i −0.517856 + 0.480501i
\(378\) −9.69508 + 1.46130i −0.498661 + 0.0751611i
\(379\) −4.00235 + 17.5354i −0.205587 + 0.900734i 0.761876 + 0.647722i \(0.224278\pi\)
−0.967463 + 0.253012i \(0.918579\pi\)
\(380\) 2.80845 4.86438i 0.144071 0.249538i
\(381\) 0.0417511 + 0.0723150i 0.00213897 + 0.00370481i
\(382\) −2.36532 + 0.729606i −0.121021 + 0.0373299i
\(383\) −22.5411 + 28.2656i −1.15180 + 1.44431i −0.276308 + 0.961069i \(0.589111\pi\)
−0.875489 + 0.483238i \(0.839461\pi\)
\(384\) 0.0369376 + 0.492899i 0.00188497 + 0.0251531i
\(385\) −8.85402 + 4.26387i −0.451243 + 0.217307i
\(386\) −18.7046 −0.952040
\(387\) −3.92774 + 16.4742i −0.199658 + 0.837429i
\(388\) 8.47254 0.430128
\(389\) 21.0115 10.1186i 1.06532 0.513032i 0.182726 0.983164i \(-0.441508\pi\)
0.882596 + 0.470131i \(0.155793\pi\)
\(390\) −1.01915 13.5997i −0.0516069 0.688646i
\(391\) −3.94044 + 4.94115i −0.199276 + 0.249885i
\(392\) −2.70326 + 0.833846i −0.136535 + 0.0421156i
\(393\) −0.689112 1.19358i −0.0347611 0.0602080i
\(394\) −3.09772 + 5.36540i −0.156061 + 0.270305i
\(395\) 1.75661 7.69621i 0.0883846 0.387238i
\(396\) −2.40217 + 0.362069i −0.120713 + 0.0181946i
\(397\) 9.30669 8.63535i 0.467089 0.433396i −0.411185 0.911552i \(-0.634885\pi\)
0.878275 + 0.478156i \(0.158695\pi\)
\(398\) 12.6353 + 15.8442i 0.633352 + 0.794198i
\(399\) −2.83757 1.93462i −0.142056 0.0968521i
\(400\) 8.04402 + 7.46376i 0.402201 + 0.373188i
\(401\) 0.288681 3.85218i 0.0144160 0.192369i −0.985346 0.170566i \(-0.945440\pi\)
0.999762 0.0218027i \(-0.00694057\pi\)
\(402\) −3.11996 7.94954i −0.155610 0.396487i
\(403\) −9.80072 42.9398i −0.488209 2.13898i
\(404\) −8.98503 2.77152i −0.447022 0.137888i
\(405\) −14.8742 + 10.1410i −0.739104 + 0.503913i
\(406\) −6.39916 0.964518i −0.317585 0.0478682i
\(407\) 2.48111 6.32177i 0.122984 0.313359i
\(408\) 1.90799 + 0.918838i 0.0944594 + 0.0454892i
\(409\) −11.8839 5.72298i −0.587621 0.282983i 0.116355 0.993208i \(-0.462879\pi\)
−0.703975 + 0.710225i \(0.748593\pi\)
\(410\) 13.0386 33.2217i 0.643928 1.64070i
\(411\) 0.395280 + 0.0595789i 0.0194977 + 0.00293881i
\(412\) −6.79390 + 4.63201i −0.334712 + 0.228203i
\(413\) 2.21011 + 0.681727i 0.108752 + 0.0335456i
\(414\) 3.75074 + 16.4331i 0.184339 + 0.807641i
\(415\) 8.66475 + 22.0774i 0.425336 + 1.08374i
\(416\) −1.78109 + 23.7669i −0.0873249 + 1.16527i
\(417\) 4.49846 + 4.17396i 0.220290 + 0.204400i
\(418\) 2.35705 + 1.60701i 0.115287 + 0.0786013i
\(419\) 11.9422 + 14.9750i 0.583414 + 0.731578i 0.982691 0.185253i \(-0.0593104\pi\)
−0.399277 + 0.916830i \(0.630739\pi\)
\(420\) −3.04113 + 2.82175i −0.148392 + 0.137687i
\(421\) 30.1408 4.54299i 1.46897 0.221412i 0.634698 0.772761i \(-0.281125\pi\)
0.834275 + 0.551348i \(0.185887\pi\)
\(422\) 6.51305 28.5355i 0.317050 1.38909i
\(423\) 6.84390 11.8540i 0.332762 0.576360i
\(424\) 5.64365 + 9.77508i 0.274080 + 0.474720i
\(425\) 6.16152 1.90058i 0.298878 0.0921915i
\(426\) −6.74559 + 8.45870i −0.326825 + 0.409825i
\(427\) 0.516019 + 6.88579i 0.0249719 + 0.333227i
\(428\) −6.62778 + 3.19177i −0.320366 + 0.154280i
\(429\) −4.46591 −0.215616
\(430\) −8.56083 22.4472i −0.412840 1.08250i
\(431\) −35.9315 −1.73076 −0.865380 0.501117i \(-0.832923\pi\)
−0.865380 + 0.501117i \(0.832923\pi\)
\(432\) 5.90470 2.84356i 0.284090 0.136811i
\(433\) −0.437619 5.83962i −0.0210306 0.280634i −0.997798 0.0663305i \(-0.978871\pi\)
0.976767 0.214304i \(-0.0687482\pi\)
\(434\) 12.9560 16.2464i 0.621910 0.779850i
\(435\) 4.88177 1.50583i 0.234063 0.0721989i
\(436\) −5.71945 9.90638i −0.273912 0.474430i
\(437\) −6.38112 + 11.0524i −0.305250 + 0.528709i
\(438\) −1.08051 + 4.73404i −0.0516290 + 0.226201i
\(439\) 19.2178 2.89662i 0.917217 0.138248i 0.326565 0.945175i \(-0.394109\pi\)
0.590652 + 0.806927i \(0.298871\pi\)
\(440\) 8.97021 8.32314i 0.427638 0.396790i
\(441\) 1.48386 + 1.86070i 0.0706600 + 0.0886048i
\(442\) −5.60638 3.82236i −0.266668 0.181811i
\(443\) −7.50104 6.95994i −0.356385 0.330677i 0.481579 0.876403i \(-0.340064\pi\)
−0.837964 + 0.545726i \(0.816254\pi\)
\(444\) 0.214246 2.85891i 0.0101677 0.135678i
\(445\) 1.84098 + 4.69075i 0.0872709 + 0.222363i
\(446\) 4.62184 + 20.2496i 0.218851 + 0.958847i
\(447\) 2.66464 + 0.821932i 0.126033 + 0.0388760i
\(448\) −16.6946 + 11.3822i −0.788744 + 0.537756i
\(449\) −13.5432 2.04130i −0.639142 0.0963351i −0.178527 0.983935i \(-0.557133\pi\)
−0.460615 + 0.887600i \(0.652371\pi\)
\(450\) 6.28280 16.0083i 0.296174 0.754640i
\(451\) −10.5295 5.07072i −0.495813 0.238771i
\(452\) −1.56381 0.753090i −0.0735553 0.0354224i
\(453\) −1.04941 + 2.67386i −0.0493057 + 0.125629i
\(454\) −3.32787 0.501596i −0.156185 0.0235411i
\(455\) 38.9998 26.5896i 1.82834 1.24654i
\(456\) 4.08640 + 1.26049i 0.191363 + 0.0590278i
\(457\) −2.14851 9.41322i −0.100503 0.440332i −0.999994 0.00339341i \(-0.998920\pi\)
0.899491 0.436939i \(-0.143937\pi\)
\(458\) 4.00221 + 10.1975i 0.187011 + 0.476496i
\(459\) 0.287786 3.84024i 0.0134327 0.179247i
\(460\) 11.3011 + 10.4859i 0.526917 + 0.488908i
\(461\) 5.55916 + 3.79017i 0.258916 + 0.176526i 0.685820 0.727771i \(-0.259444\pi\)
−0.426904 + 0.904297i \(0.640396\pi\)
\(462\) −1.31370 1.64732i −0.0611187 0.0766404i
\(463\) −4.14568 + 3.84663i −0.192666 + 0.178768i −0.770607 0.637311i \(-0.780047\pi\)
0.577941 + 0.816079i \(0.303856\pi\)
\(464\) 4.27742 0.644717i 0.198574 0.0299303i
\(465\) −3.65028 + 15.9929i −0.169278 + 0.741654i
\(466\) −4.07047 + 7.05026i −0.188561 + 0.326597i
\(467\) 5.33101 + 9.23357i 0.246690 + 0.427279i 0.962605 0.270908i \(-0.0873239\pi\)
−0.715916 + 0.698187i \(0.753991\pi\)
\(468\) 11.1499 3.43929i 0.515404 0.158981i
\(469\) 18.4286 23.1088i 0.850955 1.06706i
\(470\) 1.45101 + 19.3624i 0.0669300 + 0.893119i
\(471\) 8.15494 3.92721i 0.375760 0.180956i
\(472\) −2.87996 −0.132561
\(473\) −7.53961 + 2.24622i −0.346672 + 0.103281i
\(474\) 1.69254 0.0777409
\(475\) 11.7313 5.64949i 0.538269 0.259216i
\(476\) 0.154251 + 2.05833i 0.00707008 + 0.0943436i
\(477\) 5.92050 7.42407i 0.271081 0.339925i
\(478\) 15.7282 4.85150i 0.719390 0.221902i
\(479\) 5.41065 + 9.37152i 0.247219 + 0.428196i 0.962753 0.270382i \(-0.0871500\pi\)
−0.715534 + 0.698578i \(0.753817\pi\)
\(480\) 4.43841 7.68755i 0.202585 0.350887i
\(481\) −7.25847 + 31.8014i −0.330958 + 1.45002i
\(482\) 4.19682 0.632568i 0.191160 0.0288127i
\(483\) 6.90978 6.41134i 0.314406 0.291726i
\(484\) 4.67352 + 5.86041i 0.212433 + 0.266382i
\(485\) 29.6650 + 20.2253i 1.34702 + 0.918382i
\(486\) −11.5750 10.7400i −0.525051 0.487176i
\(487\) 1.44501 19.2824i 0.0654799 0.873768i −0.863668 0.504061i \(-0.831839\pi\)
0.929148 0.369708i \(-0.120542\pi\)
\(488\) −3.14127 8.00383i −0.142199 0.362316i
\(489\) −0.273994 1.20045i −0.0123904 0.0542861i
\(490\) −3.22603 0.995097i −0.145737 0.0449539i
\(491\) −26.1499 + 17.8287i −1.18013 + 0.804599i −0.984380 0.176054i \(-0.943667\pi\)
−0.195750 + 0.980654i \(0.562714\pi\)
\(492\) −4.87851 0.735317i −0.219940 0.0331506i
\(493\) 0.928633 2.36612i 0.0418235 0.106565i
\(494\) −12.3452 5.94514i −0.555437 0.267484i
\(495\) −9.27505 4.46663i −0.416883 0.200760i
\(496\) −5.07458 + 12.9298i −0.227855 + 0.580566i
\(497\) −37.0275 5.58100i −1.66091 0.250342i
\(498\) −4.20143 + 2.86449i −0.188271 + 0.128361i
\(499\) −9.47408 2.92237i −0.424118 0.130823i 0.0753466 0.997157i \(-0.475994\pi\)
−0.499464 + 0.866334i \(0.666470\pi\)
\(500\) −0.601848 2.63687i −0.0269155 0.117924i
\(501\) 3.28257 + 8.36386i 0.146654 + 0.373670i
\(502\) −1.17308 + 15.6536i −0.0523571 + 0.698656i
\(503\) −5.65458 5.24668i −0.252125 0.233938i 0.543977 0.839100i \(-0.316918\pi\)
−0.796102 + 0.605162i \(0.793108\pi\)
\(504\) 16.1516 + 11.0119i 0.719447 + 0.490511i
\(505\) −24.8434 31.1526i −1.10552 1.38627i
\(506\) −5.73967 + 5.32563i −0.255159 + 0.236753i
\(507\) 12.9068 1.94539i 0.573212 0.0863978i
\(508\) 0.0225513 0.0988039i 0.00100055 0.00438371i
\(509\) 18.6174 32.2464i 0.825204 1.42929i −0.0765602 0.997065i \(-0.524394\pi\)
0.901764 0.432229i \(-0.142273\pi\)
\(510\) 1.26362 + 2.18865i 0.0559538 + 0.0969149i
\(511\) −16.0596 + 4.95375i −0.710437 + 0.219141i
\(512\) 11.6432 14.6002i 0.514563 0.645242i
\(513\) −0.581141 7.75479i −0.0256580 0.342382i
\(514\) −6.90829 + 3.32686i −0.304712 + 0.146741i
\(515\) −34.8449 −1.53545
\(516\) −2.76196 + 1.84428i −0.121588 + 0.0811901i
\(517\) 6.35828 0.279637
\(518\) −13.8656 + 6.67733i −0.609221 + 0.293385i
\(519\) 0.459975 + 6.13794i 0.0201907 + 0.269426i
\(520\) −36.6457 + 45.9523i −1.60702 + 2.01514i
\(521\) −4.65069 + 1.43455i −0.203751 + 0.0628487i −0.394951 0.918702i \(-0.629238\pi\)
0.191200 + 0.981551i \(0.438762\pi\)
\(522\) −3.38959 5.87094i −0.148358 0.256964i
\(523\) 4.05474 7.02302i 0.177301 0.307095i −0.763654 0.645626i \(-0.776597\pi\)
0.940955 + 0.338531i \(0.109930\pi\)
\(524\) −0.372215 + 1.63078i −0.0162603 + 0.0712410i
\(525\) −9.50957 + 1.43334i −0.415032 + 0.0625559i
\(526\) 5.84238 5.42094i 0.254740 0.236364i
\(527\) 5.08882 + 6.38118i 0.221673 + 0.277969i
\(528\) 1.16367 + 0.793377i 0.0506422 + 0.0345273i
\(529\) −8.81719 8.18116i −0.383356 0.355703i
\(530\) −1.00662 + 13.4324i −0.0437247 + 0.583466i
\(531\) 0.885163 + 2.25536i 0.0384128 + 0.0978742i
\(532\) 0.927502 + 4.06365i 0.0402123 + 0.176182i
\(533\) 53.6396 + 16.5456i 2.32339 + 0.716671i
\(534\) −0.892671 + 0.608612i −0.0386296 + 0.0263372i
\(535\) −30.8252 4.64615i −1.33269 0.200870i
\(536\) −13.4462 + 34.2603i −0.580786 + 1.47982i
\(537\) −3.73733 1.79980i −0.161278 0.0776672i
\(538\) −3.70691 1.78515i −0.159816 0.0769635i
\(539\) −0.403894 + 1.02911i −0.0173970 + 0.0443267i
\(540\) −9.28897 1.40009i −0.399734 0.0602502i
\(541\) 13.4980 9.20276i 0.580323 0.395657i −0.237279 0.971442i \(-0.576256\pi\)
0.817602 + 0.575784i \(0.195303\pi\)
\(542\) −15.1141 4.66209i −0.649207 0.200254i
\(543\) −1.24130 5.43850i −0.0532694 0.233389i
\(544\) −1.61357 4.11131i −0.0691813 0.176271i
\(545\) 3.62247 48.3385i 0.155170 2.07060i
\(546\) 7.41867 + 6.88352i 0.317490 + 0.294587i
\(547\) 22.1302 + 15.0881i 0.946220 + 0.645122i 0.934937 0.354814i \(-0.115456\pi\)
0.0112835 + 0.999936i \(0.496408\pi\)
\(548\) −0.302494 0.379315i −0.0129219 0.0162035i
\(549\) −5.30250 + 4.92000i −0.226305 + 0.209980i
\(550\) 7.89920 1.19061i 0.336823 0.0507679i
\(551\) 1.14216 5.00415i 0.0486578 0.213184i
\(552\) −5.86863 + 10.1648i −0.249785 + 0.432641i
\(553\) 2.92901 + 5.07320i 0.124554 + 0.215734i
\(554\) −27.0070 + 8.33056i −1.14742 + 0.353932i
\(555\) 7.57481 9.49851i 0.321533 0.403189i
\(556\) −0.556581 7.42705i −0.0236043 0.314977i
\(557\) −14.4359 + 6.95199i −0.611671 + 0.294565i −0.713957 0.700190i \(-0.753099\pi\)
0.102286 + 0.994755i \(0.467384\pi\)
\(558\) 21.7680 0.921513
\(559\) 34.2014 16.0658i 1.44656 0.679512i
\(560\) −14.8858 −0.629039
\(561\) 0.745624 0.359074i 0.0314803 0.0151601i
\(562\) −1.69055 22.5588i −0.0713114 0.951584i
\(563\) 3.02373 3.79164i 0.127435 0.159799i −0.714021 0.700125i \(-0.753128\pi\)
0.841456 + 0.540326i \(0.181699\pi\)
\(564\) 2.56491 0.791170i 0.108002 0.0333143i
\(565\) −3.67764 6.36985i −0.154719 0.267982i
\(566\) −0.194335 + 0.336598i −0.00816851 + 0.0141483i
\(567\) 2.97266 13.0241i 0.124840 0.546960i
\(568\) 46.1065 6.94943i 1.93458 0.291592i
\(569\) −20.5386 + 19.0571i −0.861024 + 0.798913i −0.981029 0.193860i \(-0.937899\pi\)
0.120006 + 0.992773i \(0.461709\pi\)
\(570\) 3.18190 + 3.98997i 0.133275 + 0.167122i
\(571\) 4.39256 + 2.99480i 0.183823 + 0.125328i 0.651735 0.758447i \(-0.274041\pi\)
−0.467912 + 0.883775i \(0.654994\pi\)
\(572\) 3.97327 + 3.68666i 0.166131 + 0.154147i
\(573\) −0.108363 + 1.44601i −0.00452694 + 0.0604078i
\(574\) 9.67556 + 24.6529i 0.403850 + 1.02899i
\(575\) 7.95236 + 34.8416i 0.331636 + 1.45299i
\(576\) −20.2259 6.23888i −0.842748 0.259953i
\(577\) 0.478277 0.326083i 0.0199109 0.0135750i −0.553324 0.832966i \(-0.686641\pi\)
0.573235 + 0.819391i \(0.305688\pi\)
\(578\) −17.2934 2.60656i −0.719311 0.108419i
\(579\) −4.00320 + 10.2000i −0.166367 + 0.423897i
\(580\) −5.58634 2.69024i −0.231960 0.111706i
\(581\) −15.8568 7.63621i −0.657849 0.316803i
\(582\) −2.81237 + 7.16579i −0.116576 + 0.297032i
\(583\) 4.36171 + 0.657422i 0.180644 + 0.0272276i
\(584\) 17.2908 11.7887i 0.715498 0.487818i
\(585\) 47.2494 + 14.5745i 1.95352 + 0.602582i
\(586\) −6.40602 28.0666i −0.264630 1.15942i
\(587\) −12.9290 32.9425i −0.533636 1.35968i −0.902697 0.430278i \(-0.858416\pi\)
0.369060 0.929406i \(-0.379680\pi\)
\(588\) −0.0348766 + 0.465396i −0.00143829 + 0.0191926i
\(589\) 12.0819 + 11.2103i 0.497825 + 0.461914i
\(590\) −2.83969 1.93607i −0.116908 0.0797067i
\(591\) 2.26288 + 2.83756i 0.0930823 + 0.116721i
\(592\) 7.54090 6.99694i 0.309929 0.287572i
\(593\) 13.8979 2.09477i 0.570719 0.0860221i 0.142658 0.989772i \(-0.454435\pi\)
0.428061 + 0.903750i \(0.359197\pi\)
\(594\) 1.06165 4.65140i 0.0435601 0.190849i
\(595\) −4.37348 + 7.57509i −0.179295 + 0.310549i
\(596\) −1.69219 2.93095i −0.0693146 0.120056i
\(597\) 11.3444 3.49928i 0.464294 0.143216i
\(598\) 23.4481 29.4030i 0.958863 1.20238i
\(599\) 0.831581 + 11.0967i 0.0339775 + 0.453398i 0.988082 + 0.153925i \(0.0491916\pi\)
−0.954105 + 0.299472i \(0.903189\pi\)
\(600\) 10.7891 5.19576i 0.440463 0.212116i
\(601\) 0.417393 0.0170258 0.00851291 0.999964i \(-0.497290\pi\)
0.00851291 + 0.999964i \(0.497290\pi\)
\(602\) 15.9869 + 7.88980i 0.651575 + 0.321564i
\(603\) 30.9627 1.26090
\(604\) 3.14095 1.51260i 0.127804 0.0615469i
\(605\) 2.37375 + 31.6755i 0.0965068 + 1.28779i
\(606\) 5.32654 6.67927i 0.216376 0.271327i
\(607\) −0.457176 + 0.141020i −0.0185562 + 0.00572383i −0.304019 0.952666i \(-0.598329\pi\)
0.285463 + 0.958390i \(0.407853\pi\)
\(608\) −4.45935 7.72382i −0.180851 0.313242i
\(609\) −1.89553 + 3.28315i −0.0768107 + 0.133040i
\(610\) 2.28327 10.0037i 0.0924469 0.405036i
\(611\) −30.1986 + 4.55171i −1.22171 + 0.184143i
\(612\) −1.58505 + 1.47071i −0.0640718 + 0.0594499i
\(613\) 3.59411 + 4.50687i 0.145165 + 0.182031i 0.849098 0.528235i \(-0.177146\pi\)
−0.703933 + 0.710266i \(0.748575\pi\)
\(614\) 13.9827 + 9.53327i 0.564297 + 0.384731i
\(615\) −15.3259 14.2203i −0.617999 0.573419i
\(616\) −0.678594 + 9.05521i −0.0273413 + 0.364845i
\(617\) −5.05717 12.8854i −0.203594 0.518749i 0.792211 0.610247i \(-0.208930\pi\)
−0.995805 + 0.0914981i \(0.970834\pi\)
\(618\) −1.66243 7.28360i −0.0668729 0.292989i
\(619\) −30.6878 9.46594i −1.23345 0.380468i −0.391576 0.920146i \(-0.628070\pi\)
−0.841872 + 0.539678i \(0.818546\pi\)
\(620\) 16.4500 11.2154i 0.660646 0.450421i
\(621\) 21.1056 + 3.18116i 0.846938 + 0.127655i
\(622\) 12.9790 33.0699i 0.520409 1.32598i
\(623\) −3.36905 1.62245i −0.134978 0.0650021i
\(624\) −6.09481 2.93511i −0.243988 0.117498i
\(625\) −6.84290 + 17.4354i −0.273716 + 0.697417i
\(626\) 28.6079 + 4.31195i 1.14340 + 0.172340i
\(627\) 1.38079 0.941407i 0.0551434 0.0375962i
\(628\) −10.4973 3.23799i −0.418889 0.129210i
\(629\) −1.34507 5.89314i −0.0536315 0.234975i
\(630\) 8.52289 + 21.7160i 0.339560 + 0.865185i
\(631\) −3.64187 + 48.5974i −0.144981 + 1.93463i 0.169824 + 0.985474i \(0.445680\pi\)
−0.314804 + 0.949157i \(0.601939\pi\)
\(632\) −5.34716 4.96143i −0.212698 0.197355i
\(633\) −14.1670 9.65891i −0.563088 0.383907i
\(634\) 1.43176 + 1.79537i 0.0568624 + 0.0713032i
\(635\) 0.314819 0.292110i 0.0124932 0.0115920i
\(636\) 1.84130 0.277532i 0.0730125 0.0110049i
\(637\) 1.18159 5.17688i 0.0468162 0.205115i
\(638\) 1.57454 2.72718i 0.0623365 0.107970i
\(639\) −19.6132 33.9711i −0.775886 1.34387i
\(640\) 2.42922 0.749314i 0.0960232 0.0296192i
\(641\) −24.6012 + 30.8490i −0.971690 + 1.21846i 0.00415371 + 0.999991i \(0.498678\pi\)
−0.975844 + 0.218469i \(0.929894\pi\)
\(642\) −0.499475 6.66503i −0.0197127 0.263048i
\(643\) −28.5864 + 13.7665i −1.12734 + 0.542897i −0.902152 0.431418i \(-0.858013\pi\)
−0.225186 + 0.974316i \(0.572299\pi\)
\(644\) −11.4402 −0.450807
\(645\) −14.0731 0.135803i −0.554126 0.00534726i
\(646\) 2.53915 0.0999017
\(647\) 30.3021 14.5927i 1.19130 0.573699i 0.270114 0.962828i \(-0.412939\pi\)
0.921183 + 0.389130i \(0.127224\pi\)
\(648\) 1.24310 + 16.5881i 0.0488337 + 0.651640i
\(649\) −0.701714 + 0.879922i −0.0275447 + 0.0345400i
\(650\) −36.6649 + 11.3096i −1.43812 + 0.443600i
\(651\) −6.08657 10.5422i −0.238551 0.413183i
\(652\) −0.747212 + 1.29421i −0.0292631 + 0.0506851i
\(653\) −7.70936 + 33.7769i −0.301691 + 1.32179i 0.565884 + 0.824485i \(0.308535\pi\)
−0.867574 + 0.497308i \(0.834322\pi\)
\(654\) 10.2770 1.54901i 0.401862 0.0605710i
\(655\) −5.19617 + 4.82134i −0.203031 + 0.188385i
\(656\) −11.0374 13.8404i −0.430937 0.540378i
\(657\) −14.5463 9.91752i −0.567506 0.386919i
\(658\) −10.5622 9.80032i −0.411759 0.382056i
\(659\) 1.66762 22.2529i 0.0649613 0.866849i −0.865605 0.500727i \(-0.833066\pi\)
0.930567 0.366122i \(-0.119315\pi\)
\(660\) −0.737531 1.87920i −0.0287083 0.0731477i
\(661\) 4.38980 + 19.2330i 0.170744 + 0.748077i 0.985694 + 0.168546i \(0.0539071\pi\)
−0.814950 + 0.579531i \(0.803236\pi\)
\(662\) −5.66592 1.74771i −0.220212 0.0679265i
\(663\) −3.28429 + 2.23919i −0.127551 + 0.0869630i
\(664\) 21.6702 + 3.26626i 0.840968 + 0.126755i
\(665\) −6.45309 + 16.4422i −0.250240 + 0.637601i
\(666\) −14.5250 6.99486i −0.562831 0.271045i
\(667\) 12.6928 + 6.11252i 0.491466 + 0.236678i
\(668\) 3.98399 10.1510i 0.154145 0.392755i
\(669\) 12.0317 + 1.81348i 0.465171 + 0.0701132i
\(670\) −36.2899 + 24.7420i −1.40200 + 0.955868i
\(671\) −3.21082 0.990406i −0.123952 0.0382342i
\(672\) 1.46580 + 6.42210i 0.0565445 + 0.247738i
\(673\) 6.29767 + 16.0462i 0.242757 + 0.618535i 0.999376 0.0353210i \(-0.0112454\pi\)
−0.756619 + 0.653856i \(0.773150\pi\)
\(674\) 1.00767 13.4465i 0.0388142 0.517939i
\(675\) −15.9632 14.8117i −0.614423 0.570101i
\(676\) −13.0890 8.92393i −0.503423 0.343228i
\(677\) 25.8174 + 32.3740i 0.992242 + 1.24423i 0.969652 + 0.244488i \(0.0786198\pi\)
0.0225900 + 0.999745i \(0.492809\pi\)
\(678\) 1.15603 1.07264i 0.0443969 0.0411943i
\(679\) −26.3456 + 3.97096i −1.01105 + 0.152391i
\(680\) 2.42362 10.6186i 0.0929417 0.407204i
\(681\) −0.985767 + 1.70740i −0.0377747 + 0.0654277i
\(682\) 5.05586 + 8.75700i 0.193599 + 0.335323i
\(683\) 3.52745 1.08807i 0.134974 0.0416339i −0.226532 0.974004i \(-0.572739\pi\)
0.361506 + 0.932370i \(0.382263\pi\)
\(684\) −2.72238 + 3.41376i −0.104093 + 0.130528i
\(685\) −0.153641 2.05020i −0.00587033 0.0783341i
\(686\) 19.4034 9.34420i 0.740827 0.356763i
\(687\) 6.41742 0.244840
\(688\) −11.7659 1.88971i −0.448570 0.0720446i
\(689\) −21.1866 −0.807144
\(690\) −12.6199 + 6.07742i −0.480431 + 0.231364i
\(691\) −3.62927 48.4292i −0.138064 1.84233i −0.450958 0.892545i \(-0.648918\pi\)
0.312894 0.949788i \(-0.398702\pi\)
\(692\) 4.65771 5.84058i 0.177059 0.222025i
\(693\) 7.29991 2.25172i 0.277301 0.0855359i
\(694\) 1.48842 + 2.57802i 0.0564996 + 0.0978602i
\(695\) 15.7808 27.3331i 0.598598 1.03680i
\(696\) 1.05043 4.60225i 0.0398166 0.174448i
\(697\) −10.2860 + 1.55036i −0.389608 + 0.0587240i
\(698\) −6.08663 + 5.64757i −0.230382 + 0.213764i
\(699\) 2.97347 + 3.72861i 0.112467 + 0.141029i
\(700\) 9.64380 + 6.57503i 0.364501 + 0.248513i
\(701\) 30.4753 + 28.2769i 1.15104 + 1.06801i 0.996797 + 0.0799718i \(0.0254830\pi\)
0.154239 + 0.988034i \(0.450707\pi\)
\(702\) −1.71251 + 22.8518i −0.0646345 + 0.862487i
\(703\) −4.45949 11.3626i −0.168193 0.428548i
\(704\) −2.18787 9.58569i −0.0824585 0.361274i
\(705\) 10.8692 + 3.35270i 0.409358 + 0.126270i
\(706\) 5.01243 3.41741i 0.188645 0.128616i
\(707\) 29.2382 + 4.40694i 1.09961 + 0.165740i
\(708\) −0.173579 + 0.442273i −0.00652352 + 0.0166216i
\(709\) 20.0646 + 9.66260i 0.753542 + 0.362887i 0.770895 0.636963i \(-0.219810\pi\)
−0.0173527 + 0.999849i \(0.505524\pi\)
\(710\) 50.1336 + 24.1431i 1.88148 + 0.906074i
\(711\) −2.24195 + 5.71239i −0.0840796 + 0.214231i
\(712\) 4.60423 + 0.693976i 0.172551 + 0.0260078i
\(713\) −37.3761 + 25.4826i −1.39975 + 0.954332i
\(714\) −1.79207 0.552781i −0.0670666 0.0206873i
\(715\) 5.11104 + 22.3929i 0.191142 + 0.837449i
\(716\) 1.83930 + 4.68647i 0.0687380 + 0.175142i
\(717\) 0.720559 9.61519i 0.0269098 0.359086i
\(718\) −17.1595 15.9216i −0.640385 0.594191i
\(719\) −11.2918 7.69860i −0.421112 0.287109i 0.334166 0.942514i \(-0.391546\pi\)
−0.755278 + 0.655405i \(0.772498\pi\)
\(720\) −9.72247 12.1916i −0.362335 0.454354i
\(721\) 18.9549 17.5875i 0.705916 0.654994i
\(722\) −15.6474 + 2.35847i −0.582336 + 0.0877730i
\(723\) 0.553259 2.42399i 0.0205759 0.0901490i
\(724\) −3.38517 + 5.86329i −0.125809 + 0.217907i
\(725\) −7.18665 12.4476i −0.266905 0.462294i
\(726\) −6.50786 + 2.00741i −0.241529 + 0.0745020i
\(727\) −17.9410 + 22.4973i −0.665393 + 0.834377i −0.993918 0.110118i \(-0.964877\pi\)
0.328525 + 0.944495i \(0.393448\pi\)
\(728\) −3.25939 43.4935i −0.120801 1.61198i
\(729\) 6.31158 3.03950i 0.233762 0.112574i
\(730\) 24.9740 0.924331
\(731\) −4.41849 + 5.43224i −0.163424 + 0.200919i
\(732\) −1.41847 −0.0524282
\(733\) −37.8550 + 18.2300i −1.39821 + 0.673342i −0.972797 0.231659i \(-0.925585\pi\)
−0.425411 + 0.905000i \(0.639870\pi\)
\(734\) −0.992696 13.2466i −0.0366411 0.488941i
\(735\) −1.23308 + 1.54624i −0.0454830 + 0.0570339i
\(736\) 23.3913 7.21527i 0.862215 0.265958i
\(737\) 7.19143 + 12.4559i 0.264900 + 0.458820i
\(738\) −13.8715 + 24.0261i −0.510617 + 0.884415i
\(739\) 10.5095 46.0449i 0.386597 1.69379i −0.289665 0.957128i \(-0.593544\pi\)
0.676261 0.736662i \(-0.263599\pi\)
\(740\) −14.5804 + 2.19763i −0.535984 + 0.0807867i
\(741\) −5.88414 + 5.45968i −0.216159 + 0.200566i
\(742\) −6.23226 7.81501i −0.228794 0.286898i
\(743\) −34.5776 23.5746i −1.26853 0.864870i −0.273253 0.961942i \(-0.588100\pi\)
−0.995277 + 0.0970725i \(0.969052\pi\)
\(744\) 11.1115 + 10.3100i 0.407369 + 0.377983i
\(745\) 1.07176 14.3017i 0.0392664 0.523973i
\(746\) 2.37432 + 6.04968i 0.0869302 + 0.221494i
\(747\) −4.10252 17.9743i −0.150103 0.657646i
\(748\) −0.959793 0.296057i −0.0350935 0.0108249i
\(749\) 19.1133 13.0312i 0.698385 0.476151i
\(750\) 2.42995 + 0.366256i 0.0887293 + 0.0133738i
\(751\) 0.465270 1.18549i 0.0169779 0.0432591i −0.922133 0.386872i \(-0.873556\pi\)
0.939111 + 0.343613i \(0.111651\pi\)
\(752\) 8.67740 + 4.17882i 0.316432 + 0.152386i
\(753\) 8.28516 + 3.98992i 0.301928 + 0.145401i
\(754\) −5.52595 + 14.0799i −0.201243 + 0.512760i
\(755\) 14.6083 + 2.20184i 0.531649 + 0.0801333i
\(756\) 5.75968 3.92688i 0.209477 0.142819i
\(757\) −27.2359 8.40115i −0.989905 0.305345i −0.242818 0.970072i \(-0.578072\pi\)
−0.747087 + 0.664727i \(0.768548\pi\)
\(758\) 4.41345 + 19.3366i 0.160304 + 0.702336i
\(759\) 1.67575 + 4.26975i 0.0608260 + 0.154982i
\(760\) 1.64362 21.9326i 0.0596204 0.795579i
\(761\) 17.4707 + 16.2105i 0.633313 + 0.587629i 0.930096 0.367316i \(-0.119723\pi\)
−0.296783 + 0.954945i \(0.595914\pi\)
\(762\) 0.0760794 + 0.0518700i 0.00275606 + 0.00187905i
\(763\) 22.4278 + 28.1235i 0.811939 + 1.01814i
\(764\) 1.29010 1.19704i 0.0466743 0.0433075i
\(765\) −9.06056 + 1.36566i −0.327585 + 0.0493755i
\(766\) −8.87115 + 38.8671i −0.320528 + 1.40432i
\(767\) 2.70288 4.68153i 0.0975954 0.169040i
\(768\) −5.02159 8.69765i −0.181201 0.313849i
\(769\) 43.8886 13.5379i 1.58266 0.488187i 0.626109 0.779736i \(-0.284647\pi\)
0.956556 + 0.291548i \(0.0941705\pi\)
\(770\) −6.75653 + 8.47242i −0.243488 + 0.305325i
\(771\) 0.335673 + 4.47924i 0.0120890 + 0.161316i
\(772\)