Properties

Label 225.2.q.a.106.21
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.21
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.21

$q$-expansion

\(f(q)\) \(=\) \(q+(1.48808 + 0.316302i) q^{2} +(-0.689391 - 1.58894i) q^{3} +(0.287254 + 0.127894i) q^{4} +(-0.209129 - 2.22627i) q^{5} +(-0.523285 - 2.58254i) q^{6} +(0.255551 - 0.442627i) q^{7} +(-2.07456 - 1.50725i) q^{8} +(-2.04948 + 2.19081i) q^{9} +O(q^{10})\) \(q+(1.48808 + 0.316302i) q^{2} +(-0.689391 - 1.58894i) q^{3} +(0.287254 + 0.127894i) q^{4} +(-0.209129 - 2.22627i) q^{5} +(-0.523285 - 2.58254i) q^{6} +(0.255551 - 0.442627i) q^{7} +(-2.07456 - 1.50725i) q^{8} +(-2.04948 + 2.19081i) q^{9} +(0.392972 - 3.37902i) q^{10} +(0.818173 + 0.173908i) q^{11} +(0.00518556 - 0.544598i) q^{12} +(2.86246 - 0.608435i) q^{13} +(0.520284 - 0.577834i) q^{14} +(-3.39324 + 1.86706i) q^{15} +(-3.03117 - 3.36645i) q^{16} +(2.78774 + 2.02541i) q^{17} +(-3.74275 + 2.61185i) q^{18} +(4.87884 + 3.54469i) q^{19} +(0.224652 - 0.666250i) q^{20} +(-0.879483 - 0.100913i) q^{21} +(1.16250 + 0.517580i) q^{22} +(3.89542 - 4.32630i) q^{23} +(-0.964759 + 4.33544i) q^{24} +(-4.91253 + 0.931153i) q^{25} +4.45203 q^{26} +(4.89396 + 1.74619i) q^{27} +(0.130017 - 0.0944629i) q^{28} +(-0.0623933 - 0.593632i) q^{29} +(-5.63998 + 1.70505i) q^{30} +(0.0928139 - 0.883066i) q^{31} +(-0.881520 - 1.52684i) q^{32} +(-0.287711 - 1.41992i) q^{33} +(3.50774 + 3.89575i) q^{34} +(-1.03885 - 0.476358i) q^{35} +(-0.868911 + 0.367202i) q^{36} +(-2.62260 + 8.07154i) q^{37} +(6.13893 + 6.81797i) q^{38} +(-2.94012 - 4.12884i) q^{39} +(-2.92170 + 4.93372i) q^{40} +(-8.80767 + 1.87213i) q^{41} +(-1.27682 - 0.428348i) q^{42} +(-1.06736 + 1.84872i) q^{43} +(0.212782 + 0.154595i) q^{44} +(5.30592 + 4.10453i) q^{45} +(7.16513 - 5.20577i) q^{46} +(-0.760356 - 7.23431i) q^{47} +(-3.25944 + 7.13715i) q^{48} +(3.36939 + 5.83595i) q^{49} +(-7.60478 - 0.168210i) q^{50} +(1.29642 - 5.82586i) q^{51} +(0.900067 + 0.191315i) q^{52} +(7.16056 - 5.20245i) q^{53} +(6.73030 + 4.14644i) q^{54} +(0.216062 - 1.85784i) q^{55} +(-1.19730 + 0.533074i) q^{56} +(2.26888 - 10.1959i) q^{57} +(0.0949206 - 0.903110i) q^{58} +(-7.87309 + 1.67348i) q^{59} +(-1.21351 + 0.102347i) q^{60} +(-2.68489 - 0.570692i) q^{61} +(0.417430 - 1.28472i) q^{62} +(0.445963 + 1.46702i) q^{63} +(1.97086 + 6.06570i) q^{64} +(-1.95316 - 6.24536i) q^{65} +(0.0209857 - 2.20397i) q^{66} +(0.160059 - 1.52286i) q^{67} +(0.541751 + 0.938340i) q^{68} +(-9.55972 - 3.20709i) q^{69} +(-1.39522 - 1.03745i) q^{70} +(4.04843 - 2.94135i) q^{71} +(7.55386 - 1.45586i) q^{72} +(3.39778 + 10.4573i) q^{73} +(-6.45569 + 11.1816i) q^{74} +(4.86620 + 7.16380i) q^{75} +(0.948122 + 1.64220i) q^{76} +(0.286061 - 0.317703i) q^{77} +(-3.06919 - 7.07402i) q^{78} +(-0.788634 - 7.50335i) q^{79} +(-6.86071 + 7.45220i) q^{80} +(-0.599260 - 8.98003i) q^{81} -13.6987 q^{82} +(0.410770 - 0.182886i) q^{83} +(-0.239729 - 0.141468i) q^{84} +(3.92611 - 6.62982i) q^{85} +(-2.17308 + 2.41345i) q^{86} +(-0.900235 + 0.508384i) q^{87} +(-1.43522 - 1.59398i) q^{88} +(-5.39621 - 16.6078i) q^{89} +(6.59739 + 7.78616i) q^{90} +(0.462194 - 1.42249i) q^{91} +(1.67228 - 0.744547i) q^{92} +(-1.46713 + 0.461301i) q^{93} +(1.15675 - 11.0058i) q^{94} +(6.87111 - 11.6029i) q^{95} +(-1.81835 + 2.45327i) q^{96} +(1.76921 + 16.8329i) q^{97} +(3.16801 + 9.75012i) q^{98} +(-2.05783 + 1.43604i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.48808 + 0.316302i 1.05223 + 0.223659i 0.701392 0.712776i \(-0.252562\pi\)
0.350842 + 0.936435i \(0.385896\pi\)
\(3\) −0.689391 1.58894i −0.398020 0.917377i
\(4\) 0.287254 + 0.127894i 0.143627 + 0.0639468i
\(5\) −0.209129 2.22627i −0.0935252 0.995617i
\(6\) −0.523285 2.58254i −0.213630 1.05432i
\(7\) 0.255551 0.442627i 0.0965891 0.167297i −0.813682 0.581311i \(-0.802540\pi\)
0.910271 + 0.414014i \(0.135873\pi\)
\(8\) −2.07456 1.50725i −0.733466 0.532894i
\(9\) −2.04948 + 2.19081i −0.683160 + 0.730269i
\(10\) 0.392972 3.37902i 0.124269 1.06854i
\(11\) 0.818173 + 0.173908i 0.246689 + 0.0524353i 0.329596 0.944122i \(-0.393087\pi\)
−0.0829078 + 0.996557i \(0.526421\pi\)
\(12\) 0.00518556 0.544598i 0.00149694 0.157212i
\(13\) 2.86246 0.608435i 0.793904 0.168749i 0.206930 0.978356i \(-0.433653\pi\)
0.586973 + 0.809606i \(0.300319\pi\)
\(14\) 0.520284 0.577834i 0.139052 0.154433i
\(15\) −3.39324 + 1.86706i −0.876131 + 0.482073i
\(16\) −3.03117 3.36645i −0.757791 0.841612i
\(17\) 2.78774 + 2.02541i 0.676126 + 0.491234i 0.872070 0.489381i \(-0.162777\pi\)
−0.195944 + 0.980615i \(0.562777\pi\)
\(18\) −3.74275 + 2.61185i −0.882175 + 0.615618i
\(19\) 4.87884 + 3.54469i 1.11928 + 0.813207i 0.984100 0.177614i \(-0.0568379\pi\)
0.135183 + 0.990821i \(0.456838\pi\)
\(20\) 0.224652 0.666250i 0.0502338 0.148978i
\(21\) −0.879483 0.100913i −0.191919 0.0220209i
\(22\) 1.16250 + 0.517580i 0.247846 + 0.110348i
\(23\) 3.89542 4.32630i 0.812252 0.902097i −0.184484 0.982836i \(-0.559061\pi\)
0.996735 + 0.0807387i \(0.0257279\pi\)
\(24\) −0.964759 + 4.33544i −0.196931 + 0.884967i
\(25\) −4.91253 + 0.931153i −0.982506 + 0.186231i
\(26\) 4.45203 0.873115
\(27\) 4.89396 + 1.74619i 0.941843 + 0.336054i
\(28\) 0.130017 0.0944629i 0.0245709 0.0178518i
\(29\) −0.0623933 0.593632i −0.0115861 0.110235i 0.987200 0.159485i \(-0.0509834\pi\)
−0.998786 + 0.0492504i \(0.984317\pi\)
\(30\) −5.63998 + 1.70505i −1.02971 + 0.311299i
\(31\) 0.0928139 0.883066i 0.0166699 0.158603i −0.983020 0.183497i \(-0.941258\pi\)
0.999690 + 0.0248940i \(0.00792483\pi\)
\(32\) −0.881520 1.52684i −0.155832 0.269909i
\(33\) −0.287711 1.41992i −0.0500841 0.247177i
\(34\) 3.50774 + 3.89575i 0.601573 + 0.668115i
\(35\) −1.03885 0.476358i −0.175597 0.0805192i
\(36\) −0.868911 + 0.367202i −0.144818 + 0.0612003i
\(37\) −2.62260 + 8.07154i −0.431153 + 1.32695i 0.465825 + 0.884877i \(0.345758\pi\)
−0.896978 + 0.442075i \(0.854242\pi\)
\(38\) 6.13893 + 6.81797i 0.995866 + 1.10602i
\(39\) −2.94012 4.12884i −0.470796 0.661143i
\(40\) −2.92170 + 4.93372i −0.461961 + 0.780090i
\(41\) −8.80767 + 1.87213i −1.37553 + 0.292377i −0.835602 0.549335i \(-0.814881\pi\)
−0.539926 + 0.841713i \(0.681548\pi\)
\(42\) −1.27682 0.428348i −0.197018 0.0660956i
\(43\) −1.06736 + 1.84872i −0.162771 + 0.281928i −0.935862 0.352368i \(-0.885377\pi\)
0.773090 + 0.634296i \(0.218710\pi\)
\(44\) 0.212782 + 0.154595i 0.0320780 + 0.0233061i
\(45\) 5.30592 + 4.10453i 0.790960 + 0.611867i
\(46\) 7.16513 5.20577i 1.05644 0.767549i
\(47\) −0.760356 7.23431i −0.110909 1.05523i −0.898482 0.439010i \(-0.855329\pi\)
0.787573 0.616222i \(-0.211338\pi\)
\(48\) −3.25944 + 7.13715i −0.470460 + 1.03016i
\(49\) 3.36939 + 5.83595i 0.481341 + 0.833707i
\(50\) −7.60478 0.168210i −1.07548 0.0237885i
\(51\) 1.29642 5.82586i 0.181535 0.815783i
\(52\) 0.900067 + 0.191315i 0.124817 + 0.0265307i
\(53\) 7.16056 5.20245i 0.983578 0.714612i 0.0250729 0.999686i \(-0.492018\pi\)
0.958505 + 0.285074i \(0.0920182\pi\)
\(54\) 6.73030 + 4.14644i 0.915877 + 0.564259i
\(55\) 0.216062 1.85784i 0.0291339 0.250511i
\(56\) −1.19730 + 0.533074i −0.159997 + 0.0712350i
\(57\) 2.26888 10.1959i 0.300520 1.35048i
\(58\) 0.0949206 0.903110i 0.0124637 0.118584i
\(59\) −7.87309 + 1.67348i −1.02499 + 0.217868i −0.689584 0.724206i \(-0.742207\pi\)
−0.335405 + 0.942074i \(0.608873\pi\)
\(60\) −1.21351 + 0.102347i −0.156663 + 0.0132129i
\(61\) −2.68489 0.570692i −0.343765 0.0730696i 0.0327938 0.999462i \(-0.489560\pi\)
−0.376559 + 0.926393i \(0.622893\pi\)
\(62\) 0.417430 1.28472i 0.0530137 0.163159i
\(63\) 0.445963 + 1.46702i 0.0561861 + 0.184827i
\(64\) 1.97086 + 6.06570i 0.246358 + 0.758212i
\(65\) −1.95316 6.24536i −0.242260 0.774642i
\(66\) 0.0209857 2.20397i 0.00258316 0.271289i
\(67\) 0.160059 1.52286i 0.0195543 0.186047i −0.980385 0.197094i \(-0.936850\pi\)
0.999939 + 0.0110468i \(0.00351636\pi\)
\(68\) 0.541751 + 0.938340i 0.0656970 + 0.113790i
\(69\) −9.55972 3.20709i −1.15086 0.386088i
\(70\) −1.39522 1.03745i −0.166761 0.123999i
\(71\) 4.04843 2.94135i 0.480460 0.349075i −0.321044 0.947064i \(-0.604034\pi\)
0.801504 + 0.597990i \(0.204034\pi\)
\(72\) 7.55386 1.45586i 0.890231 0.171575i
\(73\) 3.39778 + 10.4573i 0.397680 + 1.22393i 0.926855 + 0.375419i \(0.122501\pi\)
−0.529175 + 0.848512i \(0.677499\pi\)
\(74\) −6.45569 + 11.1816i −0.750459 + 1.29983i
\(75\) 4.86620 + 7.16380i 0.561901 + 0.827205i
\(76\) 0.948122 + 1.64220i 0.108757 + 0.188373i
\(77\) 0.286061 0.317703i 0.0325997 0.0362056i
\(78\) −3.06919 7.07402i −0.347517 0.800975i
\(79\) −0.788634 7.50335i −0.0887283 0.844193i −0.944869 0.327450i \(-0.893811\pi\)
0.856140 0.516744i \(-0.172856\pi\)
\(80\) −6.86071 + 7.45220i −0.767051 + 0.833182i
\(81\) −0.599260 8.98003i −0.0665844 0.997781i
\(82\) −13.6987 −1.51277
\(83\) 0.410770 0.182886i 0.0450878 0.0200744i −0.384069 0.923304i \(-0.625477\pi\)
0.429157 + 0.903230i \(0.358811\pi\)
\(84\) −0.239729 0.141468i −0.0261565 0.0154354i
\(85\) 3.92611 6.62982i 0.425846 0.719105i
\(86\) −2.17308 + 2.41345i −0.234329 + 0.260249i
\(87\) −0.900235 + 0.508384i −0.0965153 + 0.0545045i
\(88\) −1.43522 1.59398i −0.152995 0.169918i
\(89\) −5.39621 16.6078i −0.571997 1.76043i −0.646184 0.763181i \(-0.723636\pi\)
0.0741872 0.997244i \(-0.476364\pi\)
\(90\) 6.59739 + 7.78616i 0.695425 + 0.820733i
\(91\) 0.462194 1.42249i 0.0484511 0.149117i
\(92\) 1.67228 0.744547i 0.174347 0.0776244i
\(93\) −1.46713 + 0.461301i −0.152134 + 0.0478347i
\(94\) 1.15675 11.0058i 0.119310 1.13516i
\(95\) 6.87111 11.6029i 0.704961 1.19043i
\(96\) −1.81835 + 2.45327i −0.185584 + 0.250386i
\(97\) 1.76921 + 16.8329i 0.179636 + 1.70912i 0.598542 + 0.801091i \(0.295747\pi\)
−0.418906 + 0.908030i \(0.637586\pi\)
\(98\) 3.16801 + 9.75012i 0.320017 + 0.984911i
\(99\) −2.05783 + 1.43604i −0.206820 + 0.144327i
\(100\) −1.53023 0.360804i −0.153023 0.0360804i
\(101\) −8.66842 + 15.0141i −0.862540 + 1.49396i 0.00692858 + 0.999976i \(0.497795\pi\)
−0.869469 + 0.493988i \(0.835539\pi\)
\(102\) 3.77191 8.25930i 0.373475 0.817792i
\(103\) 7.65661 + 3.40894i 0.754428 + 0.335893i 0.747658 0.664084i \(-0.231178\pi\)
0.00676999 + 0.999977i \(0.497845\pi\)
\(104\) −6.85540 3.05222i −0.672227 0.299295i
\(105\) −0.0407334 + 1.97907i −0.00397517 + 0.193137i
\(106\) 12.3011 5.47678i 1.19478 0.531952i
\(107\) 12.3203 1.19105 0.595524 0.803338i \(-0.296945\pi\)
0.595524 + 0.803338i \(0.296945\pi\)
\(108\) 1.18248 + 1.12750i 0.113784 + 0.108494i
\(109\) −4.53429 + 13.9551i −0.434306 + 1.33666i 0.459490 + 0.888183i \(0.348032\pi\)
−0.893796 + 0.448474i \(0.851968\pi\)
\(110\) 0.909158 2.69628i 0.0866848 0.257080i
\(111\) 14.6332 1.39728i 1.38892 0.132624i
\(112\) −2.26470 + 0.481376i −0.213994 + 0.0454858i
\(113\) 12.1591 2.58450i 1.14384 0.243130i 0.403249 0.915090i \(-0.367881\pi\)
0.740587 + 0.671961i \(0.234548\pi\)
\(114\) 6.60125 14.4547i 0.618264 1.35380i
\(115\) −10.4462 7.76750i −0.974109 0.724323i
\(116\) 0.0579991 0.178503i 0.00538508 0.0165736i
\(117\) −4.53360 + 7.51807i −0.419131 + 0.695046i
\(118\) −12.2451 −1.12726
\(119\) 1.60891 0.716332i 0.147488 0.0656661i
\(120\) 9.85360 + 1.24115i 0.899507 + 0.113301i
\(121\) −9.40984 4.18953i −0.855440 0.380866i
\(122\) −3.81483 1.69847i −0.345379 0.153773i
\(123\) 9.04664 + 12.7043i 0.815708 + 1.14550i
\(124\) 0.139600 0.241794i 0.0125364 0.0217137i
\(125\) 3.10035 + 10.7419i 0.277303 + 0.960782i
\(126\) 0.199610 + 2.32410i 0.0177827 + 0.207047i
\(127\) −4.71456 14.5099i −0.418349 1.28755i −0.909221 0.416315i \(-0.863321\pi\)
0.490871 0.871232i \(-0.336679\pi\)
\(128\) 1.38279 + 13.1564i 0.122223 + 1.16287i
\(129\) 3.67335 + 0.421483i 0.323420 + 0.0371095i
\(130\) −0.931047 9.91141i −0.0816582 0.869288i
\(131\) −0.964208 + 9.17382i −0.0842432 + 0.801521i 0.868079 + 0.496426i \(0.165355\pi\)
−0.952322 + 0.305094i \(0.901312\pi\)
\(132\) 0.0989528 0.444674i 0.00861273 0.0387039i
\(133\) 2.81576 1.25366i 0.244158 0.108706i
\(134\) 0.719864 2.21551i 0.0621868 0.191391i
\(135\) 2.86401 11.2604i 0.246495 0.969144i
\(136\) −2.73051 8.40365i −0.234139 0.720607i
\(137\) −6.23387 6.92342i −0.532596 0.591507i 0.415460 0.909611i \(-0.363621\pi\)
−0.948056 + 0.318104i \(0.896954\pi\)
\(138\) −13.2113 7.79617i −1.12462 0.663654i
\(139\) 3.90039 4.33183i 0.330827 0.367421i −0.554666 0.832073i \(-0.687154\pi\)
0.885493 + 0.464652i \(0.153821\pi\)
\(140\) −0.237490 0.269698i −0.0200716 0.0227936i
\(141\) −10.9707 + 6.19543i −0.923901 + 0.521749i
\(142\) 6.95475 3.09646i 0.583630 0.259849i
\(143\) 2.44780 0.204695
\(144\) 13.5876 + 0.258779i 1.13230 + 0.0215650i
\(145\) −1.30854 + 0.263050i −0.108668 + 0.0218451i
\(146\) 1.74852 + 16.6360i 0.144708 + 1.37681i
\(147\) 6.95017 9.37702i 0.573240 0.773403i
\(148\) −1.78565 + 1.98316i −0.146779 + 0.163015i
\(149\) −0.938800 1.62605i −0.0769095 0.133211i 0.825006 0.565125i \(-0.191172\pi\)
−0.901915 + 0.431913i \(0.857839\pi\)
\(150\) 4.97539 + 12.1995i 0.406239 + 0.996087i
\(151\) −1.02623 + 1.77749i −0.0835138 + 0.144650i −0.904757 0.425928i \(-0.859948\pi\)
0.821243 + 0.570578i \(0.193281\pi\)
\(152\) −4.77869 14.7073i −0.387603 1.19292i
\(153\) −10.1507 + 1.95635i −0.820635 + 0.158162i
\(154\) 0.526173 0.382287i 0.0424002 0.0308056i
\(155\) −1.98535 0.0219543i −0.159467 0.00176341i
\(156\) −0.316509 1.56205i −0.0253410 0.125064i
\(157\) −2.99334 5.18462i −0.238895 0.413778i 0.721503 0.692412i \(-0.243452\pi\)
−0.960397 + 0.278634i \(0.910118\pi\)
\(158\) 1.19977 11.4151i 0.0954487 0.908134i
\(159\) −13.2028 7.79120i −1.04705 0.617882i
\(160\) −3.21480 + 2.28180i −0.254152 + 0.180392i
\(161\) −0.919460 2.82981i −0.0724636 0.223020i
\(162\) 1.94865 13.5526i 0.153100 1.06479i
\(163\) 5.22667 16.0860i 0.409385 1.25996i −0.507793 0.861479i \(-0.669539\pi\)
0.917178 0.398478i \(-0.130461\pi\)
\(164\) −2.76947 0.588669i −0.216259 0.0459673i
\(165\) −3.10096 + 0.937468i −0.241409 + 0.0729818i
\(166\) 0.669107 0.142223i 0.0519328 0.0110387i
\(167\) −2.23209 + 21.2370i −0.172725 + 1.64337i 0.473916 + 0.880570i \(0.342840\pi\)
−0.646640 + 0.762795i \(0.723827\pi\)
\(168\) 1.67244 + 1.53495i 0.129031 + 0.118424i
\(169\) −4.05260 + 1.80433i −0.311738 + 0.138795i
\(170\) 7.93940 8.62389i 0.608924 0.661422i
\(171\) −17.7648 + 3.42383i −1.35851 + 0.261827i
\(172\) −0.543043 + 0.394544i −0.0414067 + 0.0300837i
\(173\) −3.24371 0.689471i −0.246614 0.0524195i 0.0829458 0.996554i \(-0.473567\pi\)
−0.329560 + 0.944135i \(0.606900\pi\)
\(174\) −1.50043 + 0.471772i −0.113747 + 0.0357649i
\(175\) −0.843247 + 2.41237i −0.0637435 + 0.182358i
\(176\) −1.89457 3.28148i −0.142808 0.247351i
\(177\) 8.08670 + 11.3562i 0.607834 + 0.853586i
\(178\) −2.77692 26.4207i −0.208139 1.98031i
\(179\) −2.64332 + 1.92048i −0.197571 + 0.143543i −0.682172 0.731191i \(-0.738965\pi\)
0.484602 + 0.874735i \(0.338965\pi\)
\(180\) 0.999203 + 1.85764i 0.0744762 + 0.138460i
\(181\) −5.08500 3.69447i −0.377965 0.274607i 0.382541 0.923938i \(-0.375049\pi\)
−0.760506 + 0.649331i \(0.775049\pi\)
\(182\) 1.13772 1.97059i 0.0843333 0.146070i
\(183\) 0.944145 + 4.65957i 0.0697932 + 0.344446i
\(184\) −14.6021 + 3.10377i −1.07648 + 0.228813i
\(185\) 18.5179 + 4.15062i 1.36146 + 0.305160i
\(186\) −2.32912 + 0.222400i −0.170779 + 0.0163072i
\(187\) 1.92862 + 2.14195i 0.141034 + 0.156635i
\(188\) 0.706806 2.17533i 0.0515491 0.158652i
\(189\) 2.02356 1.71996i 0.147193 0.125109i
\(190\) 13.8948 15.0927i 1.00803 1.09494i
\(191\) 7.42126 + 8.24214i 0.536983 + 0.596380i 0.949188 0.314711i \(-0.101908\pi\)
−0.412204 + 0.911091i \(0.635241\pi\)
\(192\) 8.27935 7.31323i 0.597511 0.527787i
\(193\) −4.50515 7.80315i −0.324288 0.561683i 0.657080 0.753821i \(-0.271791\pi\)
−0.981368 + 0.192138i \(0.938458\pi\)
\(194\) −2.69155 + 25.6083i −0.193242 + 1.83857i
\(195\) −8.57703 + 7.40896i −0.614214 + 0.530566i
\(196\) 0.221488 + 2.10732i 0.0158206 + 0.150523i
\(197\) −21.9807 + 15.9699i −1.56606 + 1.13781i −0.635253 + 0.772304i \(0.719104\pi\)
−0.930809 + 0.365506i \(0.880896\pi\)
\(198\) −3.51644 + 1.48605i −0.249903 + 0.105609i
\(199\) 15.6745 1.11114 0.555569 0.831471i \(-0.312501\pi\)
0.555569 + 0.831471i \(0.312501\pi\)
\(200\) 11.5948 + 5.47270i 0.819876 + 0.386978i
\(201\) −2.53008 + 0.795521i −0.178458 + 0.0561117i
\(202\) −17.6483 + 19.6005i −1.24173 + 1.37908i
\(203\) −0.278702 0.124086i −0.0195611 0.00870914i
\(204\) 1.11749 1.50769i 0.0782400 0.105560i
\(205\) 6.00980 + 19.2167i 0.419742 + 1.34215i
\(206\) 10.3154 + 7.49459i 0.718709 + 0.522173i
\(207\) 1.49450 + 17.4008i 0.103875 + 1.20944i
\(208\) −10.7249 7.79207i −0.743635 0.540283i
\(209\) 3.37529 + 3.74864i 0.233474 + 0.259299i
\(210\) −0.686597 + 2.93213i −0.0473797 + 0.202336i
\(211\) −11.2118 + 12.4519i −0.771850 + 0.857226i −0.993012 0.118011i \(-0.962348\pi\)
0.221162 + 0.975237i \(0.429015\pi\)
\(212\) 2.72226 0.578634i 0.186965 0.0397407i
\(213\) −7.46459 4.40498i −0.511466 0.301824i
\(214\) 18.3336 + 3.89693i 1.25326 + 0.266389i
\(215\) 4.33897 + 1.98961i 0.295915 + 0.135690i
\(216\) −7.52085 10.9990i −0.511729 0.748387i
\(217\) −0.367150 0.266750i −0.0249237 0.0181082i
\(218\) −11.1614 + 19.3322i −0.755947 + 1.30934i
\(219\) 14.2736 12.6080i 0.964522 0.851971i
\(220\) 0.299671 0.506039i 0.0202038 0.0341171i
\(221\) 9.21212 + 4.10150i 0.619674 + 0.275897i
\(222\) 22.2174 + 2.54924i 1.49113 + 0.171094i
\(223\) −10.0324 2.13246i −0.671821 0.142800i −0.140643 0.990060i \(-0.544917\pi\)
−0.531178 + 0.847260i \(0.678250\pi\)
\(224\) −0.901091 −0.0602067
\(225\) 8.02816 12.6708i 0.535211 0.844719i
\(226\) 18.9113 1.25796
\(227\) 5.76078 + 1.22449i 0.382356 + 0.0812723i 0.395080 0.918647i \(-0.370717\pi\)
−0.0127238 + 0.999919i \(0.504050\pi\)
\(228\) 1.95573 2.63863i 0.129521 0.174747i
\(229\) 12.9894 + 5.78325i 0.858363 + 0.382168i 0.788238 0.615370i \(-0.210993\pi\)
0.0701252 + 0.997538i \(0.477660\pi\)
\(230\) −13.0879 14.8628i −0.862989 0.980025i
\(231\) −0.702020 0.235513i −0.0461895 0.0154956i
\(232\) −0.765316 + 1.32557i −0.0502454 + 0.0870277i
\(233\) 4.13877 + 3.00699i 0.271140 + 0.196995i 0.715044 0.699080i \(-0.246407\pi\)
−0.443904 + 0.896074i \(0.646407\pi\)
\(234\) −9.12435 + 9.75353i −0.596477 + 0.637608i
\(235\) −15.9465 + 3.20566i −1.04023 + 0.209114i
\(236\) −2.47560 0.526205i −0.161148 0.0342531i
\(237\) −11.3787 + 6.42584i −0.739128 + 0.417403i
\(238\) 2.62077 0.557061i 0.169879 0.0361089i
\(239\) −3.73001 + 4.14260i −0.241274 + 0.267962i −0.851605 0.524185i \(-0.824370\pi\)
0.610330 + 0.792147i \(0.291037\pi\)
\(240\) 16.5708 + 5.76380i 1.06964 + 0.372052i
\(241\) 15.5919 + 17.3165i 1.00436 + 1.11545i 0.993306 + 0.115516i \(0.0368521\pi\)
0.0110544 + 0.999939i \(0.496481\pi\)
\(242\) −12.6775 9.21072i −0.814938 0.592087i
\(243\) −13.8556 + 7.14294i −0.888839 + 0.458220i
\(244\) −0.698258 0.507314i −0.0447014 0.0324775i
\(245\) 12.2877 8.72162i 0.785036 0.557204i
\(246\) 9.44376 + 21.7665i 0.602112 + 1.38778i
\(247\) 16.1222 + 7.17807i 1.02583 + 0.456729i
\(248\) −1.52355 + 1.69207i −0.0967456 + 0.107447i
\(249\) −0.573777 0.526610i −0.0363616 0.0333725i
\(250\) 1.21590 + 16.9654i 0.0769001 + 1.07299i
\(251\) −22.9704 −1.44988 −0.724941 0.688811i \(-0.758133\pi\)
−0.724941 + 0.688811i \(0.758133\pi\)
\(252\) −0.0595175 + 0.478442i −0.00374925 + 0.0301390i
\(253\) 3.93951 2.86222i 0.247675 0.179946i
\(254\) −2.42614 23.0832i −0.152230 1.44837i
\(255\) −13.2410 1.66782i −0.829185 0.104443i
\(256\) −0.770350 + 7.32939i −0.0481469 + 0.458087i
\(257\) 0.0155867 + 0.0269970i 0.000972274 + 0.00168403i 0.866511 0.499158i \(-0.166357\pi\)
−0.865539 + 0.500842i \(0.833024\pi\)
\(258\) 5.33293 + 1.78909i 0.332014 + 0.111384i
\(259\) 2.90247 + 3.22352i 0.180351 + 0.200300i
\(260\) 0.237689 2.04380i 0.0147408 0.126751i
\(261\) 1.42841 + 1.07995i 0.0884162 + 0.0668470i
\(262\) −4.33652 + 13.3464i −0.267911 + 0.824545i
\(263\) −15.6163 17.3437i −0.962944 1.06946i −0.997543 0.0700559i \(-0.977682\pi\)
0.0345995 0.999401i \(-0.488984\pi\)
\(264\) −1.54331 + 3.37936i −0.0949841 + 0.207985i
\(265\) −13.0795 14.8533i −0.803469 0.912433i
\(266\) 4.58662 0.974917i 0.281224 0.0597760i
\(267\) −22.6688 + 20.0236i −1.38731 + 1.22542i
\(268\) 0.240741 0.416976i 0.0147056 0.0254709i
\(269\) 13.1174 + 9.53037i 0.799784 + 0.581077i 0.910851 0.412736i \(-0.135427\pi\)
−0.111067 + 0.993813i \(0.535427\pi\)
\(270\) 7.82358 15.8506i 0.476128 0.964635i
\(271\) 8.23042 5.97975i 0.499962 0.363244i −0.309040 0.951049i \(-0.600008\pi\)
0.809003 + 0.587805i \(0.200008\pi\)
\(272\) −1.63165 15.5241i −0.0989334 0.941289i
\(273\) −2.57888 + 0.246250i −0.156081 + 0.0149037i
\(274\) −7.08663 12.2744i −0.428119 0.741524i
\(275\) −4.18124 0.0924847i −0.252138 0.00557704i
\(276\) −2.33590 2.14388i −0.140605 0.129046i
\(277\) −6.73241 1.43102i −0.404511 0.0859815i 0.00116276 0.999999i \(-0.499630\pi\)
−0.405674 + 0.914018i \(0.632963\pi\)
\(278\) 7.17427 5.21241i 0.430284 0.312620i
\(279\) 1.74440 + 2.01316i 0.104435 + 0.120525i
\(280\) 1.43716 + 2.55404i 0.0858865 + 0.152633i
\(281\) −14.7368 + 6.56124i −0.879122 + 0.391411i −0.796120 0.605139i \(-0.793118\pi\)
−0.0830025 + 0.996549i \(0.526451\pi\)
\(282\) −18.2850 + 5.74925i −1.08885 + 0.342363i
\(283\) −1.75231 + 16.6721i −0.104164 + 0.991054i 0.810198 + 0.586156i \(0.199359\pi\)
−0.914362 + 0.404898i \(0.867307\pi\)
\(284\) 1.53911 0.327147i 0.0913291 0.0194126i
\(285\) −23.1732 2.91887i −1.37266 0.172899i
\(286\) 3.64253 + 0.774244i 0.215387 + 0.0457820i
\(287\) −1.42215 + 4.37693i −0.0839470 + 0.258362i
\(288\) 5.15166 + 1.19798i 0.303564 + 0.0705919i
\(289\) −1.58409 4.87534i −0.0931819 0.286785i
\(290\) −2.03041 0.0224526i −0.119230 0.00131846i
\(291\) 25.5268 14.4156i 1.49641 0.845058i
\(292\) −0.361395 + 3.43845i −0.0211491 + 0.201220i
\(293\) −11.7345 20.3247i −0.685536 1.18738i −0.973268 0.229672i \(-0.926235\pi\)
0.287732 0.957711i \(-0.407099\pi\)
\(294\) 13.3084 11.7554i 0.776161 0.685591i
\(295\) 5.37210 + 17.1776i 0.312776 + 1.00012i
\(296\) 17.6066 12.7919i 1.02336 0.743516i
\(297\) 3.70043 + 2.27978i 0.214721 + 0.132286i
\(298\) −0.882691 2.71664i −0.0511329 0.157371i
\(299\) 8.51822 14.7540i 0.492621 0.853245i
\(300\) 0.481630 + 2.68018i 0.0278069 + 0.154741i
\(301\) 0.545530 + 0.944885i 0.0314438 + 0.0544623i
\(302\) −2.08935 + 2.32045i −0.120228 + 0.133527i
\(303\) 29.8326 + 3.42301i 1.71384 + 0.196647i
\(304\) −2.85557 27.1689i −0.163778 1.55824i
\(305\) −0.709024 + 6.09664i −0.0405986 + 0.349093i
\(306\) −15.7239 0.299466i −0.898874 0.0171194i
\(307\) −8.91785 −0.508969 −0.254484 0.967077i \(-0.581906\pi\)
−0.254484 + 0.967077i \(0.581906\pi\)
\(308\) 0.122804 0.0546760i 0.00699742 0.00311545i
\(309\) 0.138219 14.5160i 0.00786298 0.825787i
\(310\) −2.94742 0.660640i −0.167402 0.0375218i
\(311\) 13.6761 15.1889i 0.775503 0.861283i −0.217899 0.975971i \(-0.569920\pi\)
0.993402 + 0.114688i \(0.0365869\pi\)
\(312\) −0.123755 + 12.9970i −0.00700625 + 0.735811i
\(313\) −15.4871 17.2002i −0.875384 0.972212i 0.124416 0.992230i \(-0.460294\pi\)
−0.999800 + 0.0200179i \(0.993628\pi\)
\(314\) −2.81444 8.66194i −0.158828 0.488822i
\(315\) 3.17271 1.29963i 0.178762 0.0732257i
\(316\) 0.733093 2.25623i 0.0412397 0.126923i
\(317\) 9.78492 4.35653i 0.549576 0.244687i −0.113112 0.993582i \(-0.536082\pi\)
0.662688 + 0.748895i \(0.269415\pi\)
\(318\) −17.1825 15.7700i −0.963548 0.884339i
\(319\) 0.0521890 0.496545i 0.00292202 0.0278012i
\(320\) 13.0917 5.65618i 0.731848 0.316190i
\(321\) −8.49350 19.5762i −0.474061 1.09264i
\(322\) −0.473160 4.50182i −0.0263682 0.250876i
\(323\) 6.42149 + 19.7633i 0.357301 + 1.09966i
\(324\) 0.976348 2.65619i 0.0542416 0.147566i
\(325\) −13.4954 + 5.65434i −0.748589 + 0.313647i
\(326\) 12.8658 22.2842i 0.712569 1.23421i
\(327\) 25.2998 2.41580i 1.39908 0.133594i
\(328\) 21.0938 + 9.39156i 1.16471 + 0.518562i
\(329\) −3.39641 1.51218i −0.187250 0.0833690i
\(330\) −4.91100 + 0.414192i −0.270342 + 0.0228005i
\(331\) 21.4732 9.56048i 1.18027 0.525491i 0.279654 0.960101i \(-0.409780\pi\)
0.900619 + 0.434610i \(0.143114\pi\)
\(332\) 0.141385 0.00775952
\(333\) −12.3082 22.2881i −0.674485 1.22138i
\(334\) −10.0388 + 30.8963i −0.549300 + 1.69057i
\(335\) −3.42376 0.0378605i −0.187060 0.00206854i
\(336\) 2.32614 + 3.26662i 0.126901 + 0.178209i
\(337\) 1.21798 0.258889i 0.0663475 0.0141026i −0.174618 0.984636i \(-0.555869\pi\)
0.240966 + 0.970534i \(0.422536\pi\)
\(338\) −6.60132 + 1.40315i −0.359064 + 0.0763215i
\(339\) −12.4890 17.5384i −0.678311 0.952558i
\(340\) 1.97570 1.40232i 0.107147 0.0760513i
\(341\) 0.229510 0.706360i 0.0124287 0.0382515i
\(342\) −27.5185 0.524098i −1.48803 0.0283400i
\(343\) 7.02190 0.379147
\(344\) 5.00079 2.22650i 0.269625 0.120045i
\(345\) −5.14063 + 21.9532i −0.276762 + 1.18192i
\(346\) −4.60882 2.05198i −0.247772 0.110315i
\(347\) −30.2288 13.4587i −1.62276 0.722501i −0.624479 0.781041i \(-0.714689\pi\)
−0.998285 + 0.0585399i \(0.981355\pi\)
\(348\) −0.323615 + 0.0309010i −0.0173476 + 0.00165647i
\(349\) −7.71967 + 13.3709i −0.413224 + 0.715726i −0.995240 0.0974517i \(-0.968931\pi\)
0.582016 + 0.813177i \(0.302264\pi\)
\(350\) −2.01786 + 3.32309i −0.107859 + 0.177627i
\(351\) 15.0712 + 2.02074i 0.804442 + 0.107859i
\(352\) −0.455707 1.40252i −0.0242892 0.0747546i
\(353\) −2.62236 24.9501i −0.139574 1.32796i −0.810195 0.586160i \(-0.800639\pi\)
0.670621 0.741800i \(-0.266028\pi\)
\(354\) 8.44169 + 19.4568i 0.448671 + 1.03412i
\(355\) −7.39488 8.39776i −0.392480 0.445707i
\(356\) 0.573953 5.46080i 0.0304195 0.289422i
\(357\) −2.24738 2.06263i −0.118944 0.109166i
\(358\) −4.54092 + 2.02175i −0.239995 + 0.106853i
\(359\) 0.624628 1.92241i 0.0329666 0.101461i −0.933219 0.359307i \(-0.883013\pi\)
0.966186 + 0.257847i \(0.0830130\pi\)
\(360\) −4.82087 16.5124i −0.254082 0.870282i
\(361\) 5.36697 + 16.5178i 0.282472 + 0.869360i
\(362\) −6.39833 7.10607i −0.336289 0.373487i
\(363\) −0.169868 + 17.8399i −0.00891577 + 0.936353i
\(364\) 0.314694 0.349503i 0.0164944 0.0183189i
\(365\) 22.5701 9.75127i 1.18137 0.510405i
\(366\) −0.0688661 + 7.23247i −0.00359969 + 0.378047i
\(367\) 32.0015 14.2480i 1.67046 0.743738i 0.670465 0.741941i \(-0.266095\pi\)
0.999998 0.00179673i \(-0.000571917\pi\)
\(368\) −26.3720 −1.37473
\(369\) 13.9497 23.1328i 0.726192 1.20425i
\(370\) 26.2433 + 12.0337i 1.36432 + 0.625602i
\(371\) −0.472858 4.49894i −0.0245496 0.233574i
\(372\) −0.480435 0.0551255i −0.0249094 0.00285812i
\(373\) 9.18980 10.2063i 0.475830 0.528463i −0.456668 0.889637i \(-0.650957\pi\)
0.932498 + 0.361174i \(0.117624\pi\)
\(374\) 2.19244 + 3.79742i 0.113368 + 0.196360i
\(375\) 14.9309 12.3316i 0.771027 0.636802i
\(376\) −9.32653 + 16.1540i −0.480979 + 0.833080i
\(377\) −0.539785 1.66129i −0.0278003 0.0855607i
\(378\) 3.55526 1.91938i 0.182863 0.0987224i
\(379\) 20.8462 15.1457i 1.07080 0.777980i 0.0947423 0.995502i \(-0.469797\pi\)
0.976055 + 0.217522i \(0.0697973\pi\)
\(380\) 3.45769 2.45420i 0.177376 0.125898i
\(381\) −19.8053 + 17.4942i −1.01465 + 0.896253i
\(382\) 8.43644 + 14.6123i 0.431646 + 0.747633i
\(383\) −1.72911 + 16.4514i −0.0883535 + 0.840627i 0.857161 + 0.515048i \(0.172226\pi\)
−0.945515 + 0.325579i \(0.894441\pi\)
\(384\) 19.9515 11.2671i 1.01815 0.574971i
\(385\) −0.767115 0.570408i −0.0390958 0.0290707i
\(386\) −4.23589 13.0367i −0.215601 0.663552i
\(387\) −1.86266 6.12730i −0.0946843 0.311468i
\(388\) −1.64461 + 5.06158i −0.0834923 + 0.256963i
\(389\) 15.2360 + 3.23851i 0.772496 + 0.164199i 0.577264 0.816558i \(-0.304120\pi\)
0.195233 + 0.980757i \(0.437454\pi\)
\(390\) −15.1068 + 8.31221i −0.764963 + 0.420905i
\(391\) 19.6220 4.17078i 0.992325 0.210925i
\(392\) 1.80627 17.1855i 0.0912305 0.868000i
\(393\) 15.2414 4.79228i 0.768827 0.241738i
\(394\) −37.7605 + 16.8120i −1.90234 + 0.846978i
\(395\) −16.5395 + 3.32488i −0.832195 + 0.167293i
\(396\) −0.774779 + 0.149324i −0.0389341 + 0.00750381i
\(397\) 2.54039 1.84570i 0.127498 0.0926330i −0.522208 0.852818i \(-0.674892\pi\)
0.649707 + 0.760185i \(0.274892\pi\)
\(398\) 23.3250 + 4.95788i 1.16918 + 0.248516i
\(399\) −3.93315 3.60983i −0.196904 0.180717i
\(400\) 18.0254 + 13.7153i 0.901268 + 0.685766i
\(401\) 1.03308 + 1.78934i 0.0515894 + 0.0893554i 0.890667 0.454656i \(-0.150238\pi\)
−0.839077 + 0.544012i \(0.816905\pi\)
\(402\) −4.01659 + 0.383532i −0.200330 + 0.0191288i
\(403\) −0.271612 2.58421i −0.0135299 0.128729i
\(404\) −4.41025 + 3.20423i −0.219418 + 0.159417i
\(405\) −19.8666 + 3.21209i −0.987180 + 0.159610i
\(406\) −0.375483 0.272805i −0.0186349 0.0135391i
\(407\) −3.54945 + 6.14782i −0.175940 + 0.304736i
\(408\) −11.4705 + 10.1320i −0.567876 + 0.501610i
\(409\) 29.6718 6.30694i 1.46718 0.311858i 0.596063 0.802938i \(-0.296731\pi\)
0.871115 + 0.491080i \(0.163398\pi\)
\(410\) 2.86479 + 30.4970i 0.141482 + 1.50614i
\(411\) −6.70334 + 14.6782i −0.330651 + 0.724023i
\(412\) 1.76341 + 1.95846i 0.0868768 + 0.0964865i
\(413\) −1.27125 + 3.91250i −0.0625540 + 0.192521i
\(414\) −3.27996 + 26.3665i −0.161201 + 1.29584i
\(415\) −0.493058 0.876236i −0.0242033 0.0430128i
\(416\) −3.45230 3.83416i −0.169263 0.187985i
\(417\) −9.57192 3.21118i −0.468739 0.157252i
\(418\) 3.83701 + 6.64589i 0.187674 + 0.325061i
\(419\) −2.48466 + 23.6399i −0.121384 + 1.15489i 0.749020 + 0.662548i \(0.230525\pi\)
−0.870403 + 0.492339i \(0.836142\pi\)
\(420\) −0.264811 + 0.563285i −0.0129214 + 0.0274855i
\(421\) −1.13469 10.7958i −0.0553013 0.526157i −0.986746 0.162274i \(-0.948117\pi\)
0.931444 0.363884i \(-0.118549\pi\)
\(422\) −20.6226 + 14.9832i −1.00389 + 0.729371i
\(423\) 17.4073 + 13.1608i 0.846372 + 0.639899i
\(424\) −22.6964 −1.10223
\(425\) −15.5808 7.35408i −0.755780 0.356725i
\(426\) −9.71463 8.91604i −0.470676 0.431983i
\(427\) −0.938730 + 1.04257i −0.0454283 + 0.0504533i
\(428\) 3.53905 + 1.57569i 0.171066 + 0.0761637i
\(429\) −1.68749 3.88942i −0.0814729 0.187783i
\(430\) 5.82743 + 4.33313i 0.281024 + 0.208962i
\(431\) −6.07997 4.41736i −0.292862 0.212777i 0.431646 0.902043i \(-0.357933\pi\)
−0.724508 + 0.689266i \(0.757933\pi\)
\(432\) −8.95595 21.7682i −0.430893 1.04733i
\(433\) −3.91359 2.84339i −0.188075 0.136644i 0.489763 0.871855i \(-0.337083\pi\)
−0.677838 + 0.735211i \(0.737083\pi\)
\(434\) −0.461976 0.513076i −0.0221755 0.0246284i
\(435\) 1.32006 + 1.89785i 0.0632922 + 0.0909947i
\(436\) −3.08726 + 3.42875i −0.147853 + 0.164207i
\(437\) 34.3405 7.29931i 1.64273 0.349173i
\(438\) 25.2283 14.2470i 1.20545 0.680749i
\(439\) −31.2320 6.63857i −1.49062 0.316841i −0.610663 0.791891i \(-0.709097\pi\)
−0.879959 + 0.475049i \(0.842430\pi\)
\(440\) −3.24847 + 3.52854i −0.154865 + 0.168216i
\(441\) −19.6909 4.57899i −0.937663 0.218047i
\(442\) 12.4111 + 9.01718i 0.590335 + 0.428904i
\(443\) 4.66178 8.07443i 0.221488 0.383628i −0.733772 0.679396i \(-0.762242\pi\)
0.955260 + 0.295768i \(0.0955754\pi\)
\(444\) 4.38215 + 1.47012i 0.207967 + 0.0697688i
\(445\) −35.8449 + 15.4866i −1.69921 + 0.734134i
\(446\) −14.2546 6.34655i −0.674975 0.300518i
\(447\) −1.93650 + 2.61268i −0.0915933 + 0.123576i
\(448\) 3.18849 + 0.677735i 0.150642 + 0.0320200i
\(449\) −25.4208 −1.19968 −0.599840 0.800120i \(-0.704769\pi\)
−0.599840 + 0.800120i \(0.704769\pi\)
\(450\) 15.9544 16.3159i 0.752096 0.769137i
\(451\) −7.53178 −0.354658
\(452\) 3.82330 + 0.812667i 0.179833 + 0.0382247i
\(453\) 3.53181 + 0.405243i 0.165939 + 0.0190400i
\(454\) 8.18521 + 3.64429i 0.384151 + 0.171035i
\(455\) −3.26350 0.731485i −0.152995 0.0342925i
\(456\) −20.0747 + 17.7321i −0.940082 + 0.830384i
\(457\) 15.2755 26.4579i 0.714557 1.23765i −0.248573 0.968613i \(-0.579962\pi\)
0.963130 0.269036i \(-0.0867050\pi\)
\(458\) 17.5000 + 12.7145i 0.817724 + 0.594111i
\(459\) 10.1063 + 14.7802i 0.471723 + 0.689880i
\(460\) −2.00728 3.56724i −0.0935901 0.166323i
\(461\) 14.2840 + 3.03616i 0.665272 + 0.141408i 0.528156 0.849147i \(-0.322884\pi\)
0.137116 + 0.990555i \(0.456217\pi\)
\(462\) −0.970171 0.572513i −0.0451364 0.0266357i
\(463\) −10.6503 + 2.26379i −0.494962 + 0.105207i −0.448628 0.893719i \(-0.648087\pi\)
−0.0463337 + 0.998926i \(0.514754\pi\)
\(464\) −1.80931 + 2.00944i −0.0839951 + 0.0932860i
\(465\) 1.33380 + 3.16974i 0.0618534 + 0.146993i
\(466\) 5.20772 + 5.78375i 0.241243 + 0.267927i
\(467\) 0.134914 + 0.0980206i 0.00624307 + 0.00453585i 0.590902 0.806743i \(-0.298772\pi\)
−0.584659 + 0.811279i \(0.698772\pi\)
\(468\) −2.26381 + 1.57978i −0.104644 + 0.0730252i
\(469\) −0.633155 0.460014i −0.0292364 0.0212415i
\(470\) −24.7437 0.273619i −1.14134 0.0126211i
\(471\) −6.17448 + 8.33048i −0.284505 + 0.383848i
\(472\) 18.8555 + 8.39502i 0.867896 + 0.386412i
\(473\) −1.19479 + 1.32695i −0.0549367 + 0.0610134i
\(474\) −18.9650 + 5.96307i −0.871091 + 0.273893i
\(475\) −27.2681 12.8704i −1.25115 0.590536i
\(476\) 0.553779 0.0253824
\(477\) −3.27787 + 26.3497i −0.150083 + 1.20647i
\(478\) −6.86088 + 4.98472i −0.313809 + 0.227996i
\(479\) 3.05781 + 29.0931i 0.139715 + 1.32930i 0.809665 + 0.586892i \(0.199649\pi\)
−0.669950 + 0.742406i \(0.733684\pi\)
\(480\) 5.84191 + 3.53507i 0.266645 + 0.161353i
\(481\) −2.59609 + 24.7001i −0.118371 + 1.12623i
\(482\) 17.7247 + 30.7001i 0.807340 + 1.39835i
\(483\) −3.86254 + 3.41181i −0.175751 + 0.155243i
\(484\) −2.16720 2.40692i −0.0985089 0.109405i
\(485\) 37.1045 7.45897i 1.68483 0.338694i
\(486\) −22.8777 + 6.24672i −1.03775 + 0.283357i
\(487\) 10.0050 30.7921i 0.453369 1.39532i −0.419671 0.907676i \(-0.637855\pi\)
0.873040 0.487649i \(-0.162145\pi\)
\(488\) 4.70979 + 5.23075i 0.213202 + 0.236785i
\(489\) −29.1630 + 2.78469i −1.31880 + 0.125928i
\(490\) 21.0439 9.09186i 0.950665 0.410728i
\(491\) −3.26774 + 0.694580i −0.147471 + 0.0313459i −0.281056 0.959691i \(-0.590685\pi\)
0.133585 + 0.991037i \(0.457351\pi\)
\(492\) 0.973886 + 4.80635i 0.0439062 + 0.216687i
\(493\) 1.02841 1.78126i 0.0463174 0.0802241i
\(494\) 21.7207 + 15.7810i 0.977262 + 0.710023i
\(495\) 3.62735 + 4.28096i 0.163037 + 0.192415i
\(496\) −3.25413 + 2.36426i −0.146115 + 0.106159i
\(497\) −0.267344 2.54361i −0.0119920 0.114096i
\(498\) −0.687261 0.965125i −0.0307969 0.0432483i
\(499\) −13.0016 22.5194i −0.582030 1.00811i −0.995239 0.0974695i \(-0.968925\pi\)
0.413208 0.910637i \(-0.364408\pi\)
\(500\) −0.483231 + 3.48216i −0.0216108 + 0.155727i
\(501\) 35.2831 11.0939i 1.57633 0.495639i
\(502\) −34.1819 7.26559i −1.52561 0.324279i
\(503\) −11.9885 + 8.71019i −0.534543 + 0.388368i −0.822054 0.569409i \(-0.807172\pi\)
0.287512 + 0.957777i \(0.407172\pi\)
\(504\) 1.28599 3.71559i 0.0572825 0.165505i
\(505\) 35.2383 + 16.1583i 1.56808 + 0.719037i
\(506\) 6.76764 3.01315i 0.300859 0.133951i
\(507\) 5.66081 + 5.19546i 0.251405 + 0.230738i
\(508\) 0.501451 4.77099i 0.0222483 0.211678i
\(509\) 37.7857 8.03160i 1.67482 0.355994i 0.729966 0.683483i \(-0.239536\pi\)
0.944855 + 0.327489i \(0.106202\pi\)
\(510\) −19.1762 6.67002i −0.849137 0.295354i
\(511\) 5.49697 + 1.16842i 0.243172 + 0.0516878i
\(512\) 4.71125 14.4997i 0.208210 0.640804i
\(513\) 17.6872 + 25.8669i 0.780907 + 1.14205i
\(514\) 0.0146551 + 0.0451039i 0.000646411 + 0.00198945i
\(515\) 5.98800 17.7586i 0.263863 0.782536i
\(516\) 1.00128 + 0.590870i 0.0440788 + 0.0260116i
\(517\) 0.636001 6.05115i 0.0279713 0.266129i
\(518\) 3.29951 + 5.71492i 0.144972 + 0.251099i
\(519\) 1.14065 + 5.62938i 0.0500690 + 0.247102i
\(520\) −5.36140 + 15.9003i −0.235113 + 0.697272i
\(521\) −7.88351 + 5.72771i −0.345383 + 0.250935i −0.746929 0.664903i \(-0.768473\pi\)
0.401547 + 0.915839i \(0.368473\pi\)
\(522\) 1.78400 + 2.05886i 0.0780835 + 0.0901138i
\(523\) 9.64807 + 29.6937i 0.421881 + 1.29842i 0.905950 + 0.423386i \(0.139158\pi\)
−0.484069 + 0.875030i \(0.660842\pi\)
\(524\) −1.45025 + 2.51190i −0.0633543 + 0.109733i
\(525\) 4.41445 0.323196i 0.192662 0.0141054i
\(526\) −17.7525 30.7483i −0.774048 1.34069i
\(527\) 2.04731 2.27377i 0.0891823 0.0990469i
\(528\) −3.90800 + 5.27258i −0.170074 + 0.229460i
\(529\) −1.13844 10.8316i −0.0494975 0.470937i
\(530\) −14.7653 26.2401i −0.641363 1.13980i
\(531\) 12.4695 20.6782i 0.541130 0.897356i
\(532\) 0.969173 0.0420190
\(533\) −24.0726 + 10.7178i −1.04270 + 0.464239i
\(534\) −40.0665 + 22.6265i −1.73385 + 0.979146i
\(535\) −2.57653 27.4283i −0.111393 1.18583i
\(536\) −2.62739 + 2.91801i −0.113486 + 0.126039i
\(537\) 4.87381 + 2.87612i 0.210321 + 0.124114i
\(538\) 16.5054 + 18.3311i 0.711596 + 0.790308i
\(539\) 1.74182 + 5.36078i 0.0750257 + 0.230905i
\(540\) 2.26284 2.86831i 0.0973769 0.123433i
\(541\) −3.37778 + 10.3957i −0.145222 + 0.446948i −0.997039 0.0768912i \(-0.975501\pi\)
0.851817 + 0.523839i \(0.175501\pi\)
\(542\) 14.1390 6.29507i 0.607320 0.270396i
\(543\) −2.36475 + 10.6267i −0.101481 + 0.456035i
\(544\) 0.635025 6.04186i 0.0272265 0.259043i
\(545\) 32.0160 + 7.17613i 1.37142 + 0.307391i
\(546\) −3.91548 0.449266i −0.167567 0.0192268i
\(547\) −1.60294 15.2510i −0.0685367 0.652084i −0.973827 0.227290i \(-0.927013\pi\)
0.905290 0.424793i \(-0.139653\pi\)
\(548\) −0.905242 2.78605i −0.0386700 0.119014i
\(549\) 6.75291 4.71246i 0.288207 0.201123i
\(550\) −6.19277 1.46016i −0.264061 0.0622613i
\(551\) 1.79983 3.11740i 0.0766755 0.132806i
\(552\) 14.9983 + 21.0622i 0.638369 + 0.896467i
\(553\) −3.52272 1.56842i −0.149801 0.0666958i
\(554\) −9.56575 4.25895i −0.406410 0.180945i
\(555\) −6.17094 32.2852i −0.261942 1.37043i
\(556\) 1.67442 0.745498i 0.0710110 0.0316161i
\(557\) 22.3912 0.948745 0.474373 0.880324i \(-0.342675\pi\)
0.474373 + 0.880324i \(0.342675\pi\)
\(558\) 1.95905 + 3.54751i 0.0829333 + 0.150178i
\(559\) −1.93045 + 5.94132i −0.0816494 + 0.251291i
\(560\) 1.54528 + 4.94115i 0.0653002 + 0.208802i
\(561\) 2.07386 4.54110i 0.0875585 0.191725i
\(562\) −24.0049 + 5.10240i −1.01258 + 0.215232i
\(563\) −13.1274 + 2.79031i −0.553253 + 0.117598i −0.476051 0.879418i \(-0.657932\pi\)
−0.0772026 + 0.997015i \(0.524599\pi\)
\(564\) −3.94373 + 0.376575i −0.166061 + 0.0158567i
\(565\) −8.29662 26.5290i −0.349041 1.11608i
\(566\) −7.88100 + 24.2552i −0.331263 + 1.01952i
\(567\) −4.12794 2.02960i −0.173357 0.0852353i
\(568\) −12.8321 −0.538421
\(569\) −10.6775 + 4.75393i −0.447624 + 0.199295i −0.618153 0.786057i \(-0.712119\pi\)
0.170529 + 0.985353i \(0.445452\pi\)
\(570\) −33.5604 11.6733i −1.40569 0.488939i
\(571\) −35.4134 15.7671i −1.48201 0.659831i −0.503116 0.864219i \(-0.667813\pi\)
−0.978890 + 0.204388i \(0.934480\pi\)
\(572\) 0.703140 + 0.313058i 0.0293998 + 0.0130896i
\(573\) 7.98015 17.4740i 0.333375 0.729987i
\(574\) −3.50071 + 6.06341i −0.146117 + 0.253082i
\(575\) −15.1079 + 24.8803i −0.630044 + 1.03758i
\(576\) −17.3280 8.11374i −0.722000 0.338073i
\(577\) −10.4483 32.1567i −0.434970 1.33870i −0.893118 0.449823i \(-0.851487\pi\)
0.458148 0.888876i \(-0.348513\pi\)
\(578\) −0.815184 7.75596i −0.0339072 0.322605i
\(579\) −9.29296 + 12.5379i −0.386202 + 0.521055i
\(580\) −0.409524 0.0917914i −0.0170046 0.00381143i
\(581\) 0.0240220 0.228554i 0.000996602 0.00948203i
\(582\) 42.5457 13.3774i 1.76358 0.554513i
\(583\) 6.76333 3.01123i 0.280108 0.124712i
\(584\) 8.71289 26.8155i 0.360542 1.10963i
\(585\) 17.6853 + 8.52075i 0.731199 + 0.352290i
\(586\) −11.0331 33.9565i −0.455775 1.40273i
\(587\) 9.89923 + 10.9942i 0.408585 + 0.453780i 0.911954 0.410292i \(-0.134573\pi\)
−0.503369 + 0.864071i \(0.667906\pi\)
\(588\) 3.19572 1.80470i 0.131789 0.0744246i
\(589\) 3.58301 3.97934i 0.147636 0.163966i
\(590\) 2.56081 + 27.2610i 0.105427 + 1.12232i
\(591\) 40.5286 + 23.9166i 1.66712 + 0.983797i
\(592\) 35.1220 15.6373i 1.44350 0.642689i
\(593\) 2.30607 0.0946989 0.0473495 0.998878i \(-0.484923\pi\)
0.0473495 + 0.998878i \(0.484923\pi\)
\(594\) 4.78545 + 4.56296i 0.196349 + 0.187220i
\(595\) −1.93122 3.43205i −0.0791721 0.140701i
\(596\) −0.0617125 0.587155i −0.00252784 0.0240508i
\(597\) −10.8059 24.9059i −0.442255 1.01933i
\(598\) 17.3425 19.2608i 0.709189 0.787634i
\(599\) −4.41108 7.64022i −0.180232 0.312171i 0.761727 0.647898i \(-0.224352\pi\)
−0.941959 + 0.335727i \(0.891018\pi\)
\(600\) 0.702456 22.1963i 0.0286777 0.906160i
\(601\) −15.5663 + 26.9616i −0.634961 + 1.09978i 0.351562 + 0.936165i \(0.385651\pi\)
−0.986523 + 0.163620i \(0.947683\pi\)
\(602\) 0.512925 + 1.57862i 0.0209052 + 0.0643397i
\(603\) 3.00825 + 3.47173i 0.122505 + 0.141380i
\(604\) −0.522119 + 0.379342i −0.0212447 + 0.0154352i
\(605\) −7.35914 + 21.8250i −0.299192 + 0.887311i
\(606\) 43.3106 + 14.5298i 1.75937 + 0.590234i
\(607\) −3.13347 5.42734i −0.127184 0.220289i 0.795401 0.606084i \(-0.207260\pi\)
−0.922584 + 0.385795i \(0.873927\pi\)
\(608\) 1.11136 10.5739i 0.0450717 0.428828i
\(609\) −0.00503119 + 0.528386i −0.000203874 + 0.0214113i
\(610\) −2.98347 + 8.84804i −0.120797 + 0.358247i
\(611\) −6.57809 20.2453i −0.266121 0.819037i
\(612\) −3.16603 0.736239i −0.127979 0.0297607i
\(613\) −8.53626 + 26.2719i −0.344776 + 1.06111i 0.616927 + 0.787020i \(0.288377\pi\)
−0.961704 + 0.274092i \(0.911623\pi\)
\(614\) −13.2705 2.82073i −0.535554 0.113835i
\(615\) 26.3912 22.7971i 1.06419 0.919266i
\(616\) −1.07231 + 0.227926i −0.0432045 + 0.00918341i
\(617\) −0.346515 + 3.29687i −0.0139501 + 0.132727i −0.999280 0.0379321i \(-0.987923\pi\)
0.985330 + 0.170659i \(0.0545896\pi\)
\(618\) 4.79712 21.5573i 0.192968 0.867162i
\(619\) −23.7757 + 10.5856i −0.955626 + 0.425472i −0.824480 0.565891i \(-0.808532\pi\)
−0.131146 + 0.991363i \(0.541866\pi\)
\(620\) −0.567491 0.260220i −0.0227910 0.0104507i
\(621\) 26.6186 14.3706i 1.06817 0.576673i
\(622\) 25.1555 18.2766i 1.00864 0.732823i
\(623\) −8.73007 1.85563i −0.349763 0.0743444i
\(624\) −4.98753 + 22.4130i −0.199661 + 0.897237i
\(625\) 23.2659 9.14863i 0.930636 0.365945i
\(626\) −17.6057 30.4939i −0.703664 1.21878i
\(627\) 3.62948 7.94742i 0.144947 0.317389i
\(628\) −0.196769 1.87213i −0.00785193 0.0747061i
\(629\) −23.6593 + 17.1895i −0.943358 + 0.685390i
\(630\) 5.13233 0.930421i 0.204477 0.0370689i
\(631\) −17.6953 12.8564i −0.704439 0.511805i 0.176936 0.984222i \(-0.443381\pi\)
−0.881375 + 0.472417i \(0.843381\pi\)
\(632\) −9.67339 + 16.7548i −0.384787 + 0.666470i
\(633\) 27.5147 + 9.23062i 1.09361 + 0.366884i
\(634\) 15.9388 3.38789i 0.633009 0.134550i
\(635\) −31.3170 + 13.5303i −1.24278 + 0.536934i
\(636\) −2.79612 3.92661i −0.110873 0.155700i
\(637\) 13.1955 + 14.6551i 0.522826 + 0.580657i
\(638\) 0.234720 0.722393i 0.00929264 0.0285998i
\(639\) −1.85324 + 14.8976i −0.0733129 + 0.589339i
\(640\) 29.0005 5.82985i 1.14635 0.230445i
\(641\) −21.3213 23.6797i −0.842142 0.935294i 0.156485 0.987680i \(-0.449984\pi\)
−0.998627 + 0.0523866i \(0.983317\pi\)
\(642\) −6.44703 31.8176i −0.254444 1.25574i
\(643\) 6.74775 + 11.6875i 0.266105 + 0.460908i 0.967853 0.251518i \(-0.0809297\pi\)
−0.701747 + 0.712426i \(0.747596\pi\)
\(644\) 0.0977959 0.930466i 0.00385370 0.0366655i
\(645\) 0.170132 8.26599i 0.00669892 0.325473i
\(646\) 3.30454 + 31.4406i 0.130015 + 1.23701i
\(647\) −20.1643 + 14.6502i −0.792741 + 0.575960i −0.908776 0.417285i \(-0.862982\pi\)
0.116035 + 0.993245i \(0.462982\pi\)
\(648\) −12.2920 + 19.5328i −0.482874 + 0.767321i
\(649\) −6.73259 −0.264277
\(650\) −21.8707 + 4.14552i −0.857841 + 0.162601i
\(651\) −0.170741 + 0.767275i −0.00669186 + 0.0300719i
\(652\) 3.55868 3.95232i 0.139369 0.154785i
\(653\) 26.1658 + 11.6498i 1.02395 + 0.455891i 0.848835 0.528657i \(-0.177304\pi\)
0.175113 + 0.984548i \(0.443971\pi\)
\(654\) 38.4123 + 4.40746i 1.50204 + 0.172345i
\(655\) 20.6250 + 0.228074i 0.805886 + 0.00891160i
\(656\) 32.9999 + 23.9759i 1.28843 + 0.936100i
\(657\) −29.8735 13.9881i −1.16548 0.545729i
\(658\) −4.57583 3.32454i −0.178384 0.129604i
\(659\) 5.81444 + 6.45759i 0.226498 + 0.251552i 0.845673 0.533701i \(-0.179199\pi\)
−0.619175 + 0.785253i \(0.712533\pi\)
\(660\) −1.01066 0.127301i −0.0393398 0.00495519i
\(661\) −20.5678 + 22.8429i −0.799996 + 0.888486i −0.995743 0.0921684i \(-0.970620\pi\)
0.195747 + 0.980654i \(0.437287\pi\)
\(662\) 34.9779 7.43478i 1.35945 0.288961i
\(663\) 0.166299 17.4651i 0.00645852 0.678287i
\(664\) −1.12782 0.239726i −0.0437679 0.00930316i
\(665\) −3.37984 6.00646i −0.131064 0.232921i
\(666\) −11.2659 37.0596i −0.436543 1.43603i
\(667\) −2.81128 2.04252i −0.108853 0.0790866i
\(668\) −3.35725 + 5.81492i −0.129896 + 0.224986i
\(669\) 3.52791 + 17.4111i 0.136397 + 0.673151i
\(670\) −5.08287 1.13928i −0.196368 0.0440143i
\(671\) −2.09746 0.933850i −0.0809716 0.0360509i
\(672\) 0.621204 + 1.43178i 0.0239635 + 0.0552322i
\(673\) 24.2630 + 5.15726i 0.935271 + 0.198798i 0.650247 0.759723i \(-0.274665\pi\)
0.285023 + 0.958521i \(0.407999\pi\)
\(674\) 1.89434 0.0729673
\(675\) −25.6677 4.02117i −0.987950 0.154775i
\(676\) −1.39489 −0.0536495
\(677\) 7.10383 + 1.50996i 0.273022 + 0.0580327i 0.342388 0.939559i \(-0.388764\pi\)
−0.0693658 + 0.997591i \(0.522098\pi\)
\(678\) −13.0373 30.0490i −0.500693 1.15402i
\(679\) 7.90281 + 3.51856i 0.303282 + 0.135030i
\(680\) −18.1377 + 7.83629i −0.695551 + 0.300508i
\(681\) −2.02578 9.99770i −0.0776281 0.383113i
\(682\) 0.564953 0.978527i 0.0216332 0.0374697i
\(683\) −38.6994 28.1168i −1.48079 1.07586i −0.977301 0.211857i \(-0.932049\pi\)
−0.503491 0.864001i \(-0.667951\pi\)
\(684\) −5.54089 1.28850i −0.211861 0.0492669i
\(685\) −14.1097 + 15.3262i −0.539104 + 0.585582i
\(686\) 10.4492 + 2.22104i 0.398951 + 0.0847998i
\(687\) 0.234487 24.6263i 0.00894624 0.939553i
\(688\) 9.45898 2.01057i 0.360620 0.0766522i
\(689\) 17.3315 19.2485i 0.660276 0.733311i
\(690\) −14.5935 + 31.0422i −0.555565 + 1.18176i
\(691\) −26.9874 29.9725i −1.02665 1.14021i −0.990027 0.140880i \(-0.955007\pi\)
−0.0366223 0.999329i \(-0.511660\pi\)
\(692\) −0.843588 0.612902i −0.0320684 0.0232991i
\(693\) 0.109749 + 1.27783i 0.00416902 + 0.0485408i
\(694\) −40.7259 29.5891i −1.54593 1.12319i
\(695\) −10.4595 7.77741i −0.396751 0.295014i
\(696\) 2.63385 + 0.302210i 0.0998359 + 0.0114553i
\(697\) −28.3453 12.6201i −1.07366 0.478022i
\(698\) −15.7167 + 17.4552i −0.594887 + 0.660689i
\(699\) 1.92471 8.64926i 0.0727992 0.327145i
\(700\) −0.550753 + 0.585117i −0.0208165 + 0.0221154i
\(701\) −6.65878 −0.251498 −0.125749 0.992062i \(-0.540133\pi\)
−0.125749 + 0.992062i \(0.540133\pi\)
\(702\) 21.7880 + 7.77407i 0.822337 + 0.293413i
\(703\) −41.4063 + 30.0834i −1.56167 + 1.13462i
\(704\) 0.557635 + 5.30554i 0.0210167 + 0.199960i
\(705\) 16.0870 + 23.1281i 0.605870 + 0.871055i
\(706\) 3.98947 37.9573i 0.150146 1.42854i
\(707\) 4.43044 + 7.67375i 0.166624 + 0.288601i
\(708\) 0.870547 + 4.29635i 0.0327172 + 0.161467i
\(709\) 15.0114 + 16.6718i 0.563763 + 0.626123i 0.955867 0.293798i \(-0.0949194\pi\)
−0.392104 + 0.919921i \(0.628253\pi\)
\(710\) −8.34797 14.8356i −0.313294 0.556769i
\(711\) 18.0547 + 13.6502i 0.677104 + 0.511924i
\(712\) −13.8375 + 42.5873i −0.518581 + 1.59603i
\(713\) −3.45886 3.84145i −0.129535 0.143864i
\(714\) −2.69187 3.78022i −0.100741 0.141471i
\(715\) −0.511905 5.44946i −0.0191442 0.203798i
\(716\) −1.00492 + 0.213602i −0.0375556 + 0.00798269i
\(717\) 9.15378 + 3.07091i 0.341854 + 0.114685i
\(718\) 1.53756 2.66313i 0.0573812 0.0993871i
\(719\) 1.49516 + 1.08630i 0.0557602 + 0.0405122i 0.615316 0.788280i \(-0.289028\pi\)
−0.559556 + 0.828793i \(0.689028\pi\)
\(720\) −2.26543 30.3036i −0.0844278 1.12935i
\(721\) 3.46554 2.51786i 0.129063 0.0937700i
\(722\) 2.76188 + 26.2775i 0.102786 + 0.977947i
\(723\) 16.7661 36.7124i 0.623537 1.36535i
\(724\) −0.988185 1.71159i −0.0367256 0.0636106i
\(725\) 0.859271 + 2.85814i 0.0319125 + 0.106149i
\(726\) −5.89558 + 26.4936i −0.218805 + 0.983268i
\(727\) 2.49549 + 0.530433i 0.0925527 + 0.0196727i 0.253955 0.967216i \(-0.418268\pi\)
−0.161403 + 0.986889i \(0.551602\pi\)
\(728\) −3.10290 + 2.25439i −0.115001 + 0.0835531i
\(729\) 20.9017 + 17.0915i 0.774136 + 0.633020i
\(730\) 36.6706 7.37173i 1.35724 0.272840i
\(731\) −6.71995 + 2.99191i −0.248546 + 0.110660i
\(732\) −0.324721 + 1.45923i −0.0120020 + 0.0539347i
\(733\) 1.19718 11.3904i 0.0442187 0.420713i −0.949911 0.312520i \(-0.898827\pi\)
0.994130 0.108193i \(-0.0345065\pi\)
\(734\) 52.1275 11.0800i 1.92406 0.408972i
\(735\) −22.3292 13.5119i −0.823626 0.498395i
\(736\) −10.0395 2.13395i −0.370059 0.0786585i
\(737\) 0.395794 1.21813i 0.0145792 0.0448703i
\(738\) 28.0752 30.0112i 1.03346 1.10473i
\(739\) 14.8777 + 45.7888i 0.547285 + 1.68437i 0.715495 + 0.698618i \(0.246201\pi\)
−0.168210 + 0.985751i \(0.553799\pi\)
\(740\) 4.78848 + 3.56060i 0.176028 + 0.130890i
\(741\) 0.291041 30.5658i 0.0106917 1.12286i
\(742\) 0.719372 6.84437i 0.0264090 0.251265i
\(743\) 3.67273 + 6.36135i 0.134739 + 0.233375i 0.925498 0.378753i \(-0.123647\pi\)
−0.790759 + 0.612128i \(0.790314\pi\)
\(744\) 3.73893 + 1.25433i 0.137076 + 0.0459861i
\(745\) −3.42369 + 2.43007i −0.125434 + 0.0890310i
\(746\) 16.9035 12.2811i 0.618880 0.449642i
\(747\) −0.441196 + 1.27474i −0.0161425 + 0.0466403i
\(748\) 0.280061 + 0.861940i 0.0102401 + 0.0315156i
\(749\) 3.14846 5.45329i 0.115042 0.199259i
\(750\) 26.1189 13.6278i 0.953727 0.497617i
\(751\) 7.69305 + 13.3248i 0.280724 + 0.486227i 0.971563 0.236781i \(-0.0760923\pi\)
−0.690840 + 0.723008i \(0.742759\pi\)
\(752\) −22.0492 + 24.4881i −0.804050 + 0.892988i
\(753\) 15.8356 + 36.4987i 0.577082 + 1.33009i
\(754\) −0.277777 2.64287i −0.0101160 0.0962476i
\(755\) 4.17178 + 1.91295i 0.151827 + 0.0696193i
\(756\) 0.801247 0.235263i 0.0291411 0.00855645i
\(757\) −28.4272 −1.03320 −0.516602 0.856226i \(-0.672803\pi\)
−0.516602 + 0.856226i \(0.672803\pi\)
\(758\) 35.8115 15.9443i 1.30073 0.579123i
\(759\) −7.26377 4.28647i −0.263658 0.155589i
\(760\) −31.7430 + 13.7144i −1.15144 + 0.497472i
\(761\) −23.0186 + 25.5648i −0.834425 + 0.926723i −0.998212 0.0597727i \(-0.980962\pi\)
0.163787 + 0.986496i \(0.447629\pi\)
\(762\) −35.0053 + 19.7683i −1.26811 + 0.716131i
\(763\) 5.01816 + 5.57323i 0.181670 + 0.201765i
\(764\) 1.07767 + 3.31672i 0.0389886 + 0.119995i
\(765\) 6.47817 + 22.1890i 0.234219 + 0.802246i
\(766\) −7.77667 + 23.9341i −0.280983 + 0.864775i
\(767\) −21.5182 + 9.58053i −0.776978 + 0.345933i
\(768\) 12.1771 3.82877i 0.439402 0.138159i
\(769\) −0.452849 + 4.30857i −0.0163302 + 0.155371i −0.999648 0.0265235i \(-0.991556\pi\)
0.983318 + 0.181895i \(0.0582230\pi\)
\(770\) −0.961110 1.09145i −0.0346360