Properties

Label 225.2.q.a.106.7
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 106.7
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39878 - 0.297321i) q^{2} +(-1.19801 - 1.25091i) q^{3} +(0.0411076 + 0.0183023i) q^{4} +(1.76390 - 1.37429i) q^{5} +(1.30384 + 2.10594i) q^{6} +(1.92019 - 3.32586i) q^{7} +(2.26178 + 1.64328i) q^{8} +(-0.129533 + 2.99720i) q^{9} +O(q^{10})\) \(q+(-1.39878 - 0.297321i) q^{2} +(-1.19801 - 1.25091i) q^{3} +(0.0411076 + 0.0183023i) q^{4} +(1.76390 - 1.37429i) q^{5} +(1.30384 + 2.10594i) q^{6} +(1.92019 - 3.32586i) q^{7} +(2.26178 + 1.64328i) q^{8} +(-0.129533 + 2.99720i) q^{9} +(-2.87591 + 1.39789i) q^{10} +(-5.11325 - 1.08686i) q^{11} +(-0.0263530 - 0.0733481i) q^{12} +(3.28926 - 0.699153i) q^{13} +(-3.67477 + 4.08125i) q^{14} +(-3.83228 - 0.560051i) q^{15} +(-2.73539 - 3.03795i) q^{16} +(-3.90998 - 2.84077i) q^{17} +(1.07232 - 4.15393i) q^{18} +(-1.90903 - 1.38699i) q^{19} +(0.0976621 - 0.0242104i) q^{20} +(-6.46075 + 1.58245i) q^{21} +(6.82920 + 3.04055i) q^{22} +(-3.12041 + 3.46556i) q^{23} +(-0.654054 - 4.79795i) q^{24} +(1.22265 - 4.84821i) q^{25} -4.80884 q^{26} +(3.90440 - 3.42865i) q^{27} +(0.139805 - 0.101574i) q^{28} +(0.768054 + 7.30754i) q^{29} +(5.19401 + 1.92281i) q^{30} +(-0.0679615 + 0.646611i) q^{31} +(0.127249 + 0.220402i) q^{32} +(4.76619 + 7.69827i) q^{33} +(4.62460 + 5.13614i) q^{34} +(-1.18369 - 8.50536i) q^{35} +(-0.0601804 + 0.120837i) q^{36} +(0.315262 - 0.970276i) q^{37} +(2.25794 + 2.50769i) q^{38} +(-4.81515 - 3.27696i) q^{39} +(6.24790 - 0.209769i) q^{40} +(3.66775 - 0.779604i) q^{41} +(9.50769 - 0.292591i) q^{42} +(-2.34851 + 4.06773i) q^{43} +(-0.190302 - 0.138262i) q^{44} +(3.89054 + 5.46477i) q^{45} +(5.39516 - 3.91981i) q^{46} +(-1.24854 - 11.8791i) q^{47} +(-0.523169 + 7.06122i) q^{48} +(-3.87423 - 6.71036i) q^{49} +(-3.15170 + 6.41808i) q^{50} +(1.13067 + 8.29429i) q^{51} +(0.148010 + 0.0314604i) q^{52} +(2.92011 - 2.12158i) q^{53} +(-6.48082 + 3.63509i) q^{54} +(-10.5129 + 5.10999i) q^{55} +(9.80838 - 4.36697i) q^{56} +(0.552044 + 4.04964i) q^{57} +(1.09834 - 10.4500i) q^{58} +(7.61268 - 1.61813i) q^{59} +(-0.147285 - 0.0931618i) q^{60} +(6.44432 + 1.36978i) q^{61} +(0.287314 - 0.884263i) q^{62} +(9.71955 + 6.18599i) q^{63} +(2.41404 + 7.42965i) q^{64} +(4.84107 - 5.75363i) q^{65} +(-4.37801 - 12.1853i) q^{66} +(0.106476 - 1.01305i) q^{67} +(-0.108737 - 0.188339i) q^{68} +(8.07338 - 0.248451i) q^{69} +(-0.873097 + 12.2491i) q^{70} +(-2.82082 + 2.04945i) q^{71} +(-5.21823 + 6.56617i) q^{72} +(-1.38140 - 4.25150i) q^{73} +(-0.729467 + 1.26347i) q^{74} +(-7.52941 + 4.27879i) q^{75} +(-0.0530904 - 0.0919553i) q^{76} +(-13.4331 + 14.9190i) q^{77} +(5.76105 + 6.01540i) q^{78} +(-0.171432 - 1.63107i) q^{79} +(-8.99997 - 1.59942i) q^{80} +(-8.96644 - 0.776471i) q^{81} -5.36219 q^{82} +(10.3261 - 4.59747i) q^{83} +(-0.294548 - 0.0531957i) q^{84} +(-10.8008 + 0.362630i) q^{85} +(4.49448 - 4.99162i) q^{86} +(8.22091 - 9.71529i) q^{87} +(-9.77907 - 10.8608i) q^{88} +(-0.935178 - 2.87818i) q^{89} +(-3.81724 - 8.80077i) q^{90} +(3.99070 - 12.2821i) q^{91} +(-0.191700 + 0.0853504i) q^{92} +(0.890268 - 0.689634i) q^{93} +(-1.78546 + 16.9875i) q^{94} +(-5.27345 + 0.177052i) q^{95} +(0.123256 - 0.423221i) q^{96} +(-1.69408 - 16.1181i) q^{97} +(3.42408 + 10.5382i) q^{98} +(3.91986 - 15.1847i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39878 0.297321i −0.989090 0.210238i −0.315165 0.949037i \(-0.602060\pi\)
−0.673925 + 0.738799i \(0.735393\pi\)
\(3\) −1.19801 1.25091i −0.691673 0.722211i
\(4\) 0.0411076 + 0.0183023i 0.0205538 + 0.00915114i
\(5\) 1.76390 1.37429i 0.788838 0.614601i
\(6\) 1.30384 + 2.10594i 0.532291 + 0.859747i
\(7\) 1.92019 3.32586i 0.725762 1.25706i −0.232897 0.972501i \(-0.574821\pi\)
0.958660 0.284556i \(-0.0918460\pi\)
\(8\) 2.26178 + 1.64328i 0.799662 + 0.580988i
\(9\) −0.129533 + 2.99720i −0.0431775 + 0.999067i
\(10\) −2.87591 + 1.39789i −0.909444 + 0.442052i
\(11\) −5.11325 1.08686i −1.54170 0.327699i −0.642865 0.765979i \(-0.722255\pi\)
−0.898839 + 0.438280i \(0.855588\pi\)
\(12\) −0.0263530 0.0733481i −0.00760745 0.0211738i
\(13\) 3.28926 0.699153i 0.912276 0.193910i 0.272217 0.962236i \(-0.412243\pi\)
0.640059 + 0.768326i \(0.278910\pi\)
\(14\) −3.67477 + 4.08125i −0.982125 + 1.09076i
\(15\) −3.83228 0.560051i −0.989490 0.144605i
\(16\) −2.73539 3.03795i −0.683847 0.759489i
\(17\) −3.90998 2.84077i −0.948309 0.688987i 0.00209712 0.999998i \(-0.499332\pi\)
−0.950406 + 0.311011i \(0.899332\pi\)
\(18\) 1.07232 4.15393i 0.252748 0.979090i
\(19\) −1.90903 1.38699i −0.437961 0.318197i 0.346863 0.937916i \(-0.387247\pi\)
−0.784824 + 0.619719i \(0.787247\pi\)
\(20\) 0.0976621 0.0242104i 0.0218379 0.00541362i
\(21\) −6.46075 + 1.58245i −1.40985 + 0.345319i
\(22\) 6.82920 + 3.04055i 1.45599 + 0.648248i
\(23\) −3.12041 + 3.46556i −0.650650 + 0.722620i −0.974724 0.223412i \(-0.928281\pi\)
0.324074 + 0.946032i \(0.394947\pi\)
\(24\) −0.654054 4.79795i −0.133508 0.979378i
\(25\) 1.22265 4.84821i 0.244531 0.969641i
\(26\) −4.80884 −0.943090
\(27\) 3.90440 3.42865i 0.751402 0.659844i
\(28\) 0.139805 0.101574i 0.0264207 0.0191957i
\(29\) 0.768054 + 7.30754i 0.142624 + 1.35698i 0.798448 + 0.602063i \(0.205654\pi\)
−0.655824 + 0.754913i \(0.727679\pi\)
\(30\) 5.19401 + 1.92281i 0.948293 + 0.351055i
\(31\) −0.0679615 + 0.646611i −0.0122062 + 0.116135i −0.998928 0.0462828i \(-0.985262\pi\)
0.986722 + 0.162417i \(0.0519291\pi\)
\(32\) 0.127249 + 0.220402i 0.0224947 + 0.0389619i
\(33\) 4.76619 + 7.69827i 0.829687 + 1.34010i
\(34\) 4.62460 + 5.13614i 0.793112 + 0.880840i
\(35\) −1.18369 8.50536i −0.200080 1.43767i
\(36\) −0.0601804 + 0.120837i −0.0100301 + 0.0201395i
\(37\) 0.315262 0.970276i 0.0518287 0.159512i −0.921792 0.387685i \(-0.873275\pi\)
0.973621 + 0.228172i \(0.0732749\pi\)
\(38\) 2.25794 + 2.50769i 0.366286 + 0.406801i
\(39\) −4.81515 3.27696i −0.771041 0.524733i
\(40\) 6.24790 0.209769i 0.987880 0.0331674i
\(41\) 3.66775 0.779604i 0.572806 0.121754i 0.0876036 0.996155i \(-0.472079\pi\)
0.485203 + 0.874402i \(0.338746\pi\)
\(42\) 9.50769 0.292591i 1.46707 0.0451477i
\(43\) −2.34851 + 4.06773i −0.358144 + 0.620324i −0.987651 0.156671i \(-0.949924\pi\)
0.629507 + 0.776995i \(0.283257\pi\)
\(44\) −0.190302 0.138262i −0.0286890 0.0208438i
\(45\) 3.89054 + 5.46477i 0.579968 + 0.814639i
\(46\) 5.39516 3.91981i 0.795473 0.577945i
\(47\) −1.24854 11.8791i −0.182118 1.73274i −0.579400 0.815044i \(-0.696713\pi\)
0.397281 0.917697i \(-0.369954\pi\)
\(48\) −0.523169 + 7.06122i −0.0755130 + 1.01920i
\(49\) −3.87423 6.71036i −0.553461 0.958623i
\(50\) −3.15170 + 6.41808i −0.445718 + 0.907653i
\(51\) 1.13067 + 8.29429i 0.158326 + 1.16143i
\(52\) 0.148010 + 0.0314604i 0.0205252 + 0.00436277i
\(53\) 2.92011 2.12158i 0.401108 0.291422i −0.368884 0.929475i \(-0.620260\pi\)
0.769992 + 0.638054i \(0.220260\pi\)
\(54\) −6.48082 + 3.63509i −0.881929 + 0.494673i
\(55\) −10.5129 + 5.10999i −1.41756 + 0.689031i
\(56\) 9.80838 4.36697i 1.31070 0.583561i
\(57\) 0.552044 + 4.04964i 0.0731200 + 0.536388i
\(58\) 1.09834 10.4500i 0.144220 1.37216i
\(59\) 7.61268 1.61813i 0.991087 0.210662i 0.316288 0.948663i \(-0.397563\pi\)
0.674799 + 0.738001i \(0.264230\pi\)
\(60\) −0.147285 0.0931618i −0.0190145 0.0120271i
\(61\) 6.44432 + 1.36978i 0.825110 + 0.175383i 0.601069 0.799197i \(-0.294742\pi\)
0.224041 + 0.974580i \(0.428075\pi\)
\(62\) 0.287314 0.884263i 0.0364890 0.112301i
\(63\) 9.71955 + 6.18599i 1.22455 + 0.779362i
\(64\) 2.41404 + 7.42965i 0.301755 + 0.928707i
\(65\) 4.84107 5.75363i 0.600461 0.713650i
\(66\) −4.37801 12.1853i −0.538896 1.49991i
\(67\) 0.106476 1.01305i 0.0130081 0.123764i −0.986091 0.166208i \(-0.946848\pi\)
0.999099 + 0.0424441i \(0.0135144\pi\)
\(68\) −0.108737 0.188339i −0.0131863 0.0228394i
\(69\) 8.07338 0.248451i 0.971921 0.0299100i
\(70\) −0.873097 + 12.2491i −0.104355 + 1.46405i
\(71\) −2.82082 + 2.04945i −0.334770 + 0.243225i −0.742452 0.669899i \(-0.766337\pi\)
0.407682 + 0.913124i \(0.366337\pi\)
\(72\) −5.21823 + 6.56617i −0.614974 + 0.773830i
\(73\) −1.38140 4.25150i −0.161680 0.497601i 0.837096 0.547056i \(-0.184252\pi\)
−0.998776 + 0.0494551i \(0.984252\pi\)
\(74\) −0.729467 + 1.26347i −0.0847988 + 0.146876i
\(75\) −7.52941 + 4.27879i −0.869421 + 0.494072i
\(76\) −0.0530904 0.0919553i −0.00608989 0.0105480i
\(77\) −13.4331 + 14.9190i −1.53085 + 1.70018i
\(78\) 5.76105 + 6.01540i 0.652310 + 0.681110i
\(79\) −0.171432 1.63107i −0.0192877 0.183510i 0.980636 0.195838i \(-0.0627425\pi\)
−0.999924 + 0.0123278i \(0.996076\pi\)
\(80\) −8.99997 1.59942i −1.00623 0.178821i
\(81\) −8.96644 0.776471i −0.996271 0.0862745i
\(82\) −5.36219 −0.592154
\(83\) 10.3261 4.59747i 1.13344 0.504638i 0.247704 0.968836i \(-0.420324\pi\)
0.885731 + 0.464198i \(0.153657\pi\)
\(84\) −0.294548 0.0531957i −0.0321378 0.00580413i
\(85\) −10.8008 + 0.362630i −1.17151 + 0.0393328i
\(86\) 4.49448 4.99162i 0.484652 0.538261i
\(87\) 8.22091 9.71529i 0.881374 1.04159i
\(88\) −9.77907 10.8608i −1.04245 1.15776i
\(89\) −0.935178 2.87818i −0.0991286 0.305087i 0.889179 0.457559i \(-0.151276\pi\)
−0.988308 + 0.152473i \(0.951276\pi\)
\(90\) −3.81724 8.80077i −0.402373 0.927683i
\(91\) 3.99070 12.2821i 0.418339 1.28752i
\(92\) −0.191700 + 0.0853504i −0.0199861 + 0.00889839i
\(93\) 0.890268 0.689634i 0.0923165 0.0715117i
\(94\) −1.78546 + 16.9875i −0.184156 + 1.75212i
\(95\) −5.27345 + 0.177052i −0.541044 + 0.0181652i
\(96\) 0.123256 0.423221i 0.0125798 0.0431948i
\(97\) −1.69408 16.1181i −0.172008 1.63654i −0.651251 0.758862i \(-0.725755\pi\)
0.479243 0.877682i \(-0.340911\pi\)
\(98\) 3.42408 + 10.5382i 0.345885 + 1.06452i
\(99\) 3.91986 15.1847i 0.393961 1.52612i
\(100\) 0.138994 0.176921i 0.0138994 0.0176921i
\(101\) −2.79104 + 4.83422i −0.277719 + 0.481023i −0.970817 0.239820i \(-0.922912\pi\)
0.693099 + 0.720843i \(0.256245\pi\)
\(102\) 0.884499 11.9381i 0.0875785 1.18205i
\(103\) 0.569374 + 0.253501i 0.0561020 + 0.0249782i 0.434596 0.900626i \(-0.356891\pi\)
−0.378494 + 0.925604i \(0.623558\pi\)
\(104\) 8.58850 + 3.82385i 0.842172 + 0.374959i
\(105\) −9.22134 + 11.6702i −0.899910 + 1.13890i
\(106\) −4.71539 + 2.09943i −0.457999 + 0.203914i
\(107\) 8.51791 0.823458 0.411729 0.911306i \(-0.364925\pi\)
0.411729 + 0.911306i \(0.364925\pi\)
\(108\) 0.223253 0.0694842i 0.0214825 0.00668612i
\(109\) −3.14970 + 9.69377i −0.301686 + 0.928495i 0.679207 + 0.733947i \(0.262324\pi\)
−0.980893 + 0.194548i \(0.937676\pi\)
\(110\) 16.2246 4.02208i 1.54695 0.383490i
\(111\) −1.59141 + 0.768040i −0.151050 + 0.0728991i
\(112\) −15.3563 + 3.26407i −1.45103 + 0.308426i
\(113\) 6.20262 1.31841i 0.583494 0.124025i 0.0932987 0.995638i \(-0.470259\pi\)
0.490195 + 0.871613i \(0.336926\pi\)
\(114\) 0.431852 5.82871i 0.0404466 0.545909i
\(115\) −0.741384 + 10.4012i −0.0691344 + 0.969920i
\(116\) −0.102172 + 0.314453i −0.00948642 + 0.0291962i
\(117\) 1.66944 + 9.94913i 0.154340 + 0.919798i
\(118\) −11.1296 −1.02456
\(119\) −16.9559 + 7.54924i −1.55434 + 0.692038i
\(120\) −7.74746 7.56423i −0.707243 0.690517i
\(121\) 14.9151 + 6.64063i 1.35592 + 0.603694i
\(122\) −8.60695 3.83206i −0.779236 0.346938i
\(123\) −5.36922 3.65404i −0.484127 0.329473i
\(124\) −0.0146282 + 0.0253368i −0.00131365 + 0.00227531i
\(125\) −4.50621 10.2320i −0.403047 0.915179i
\(126\) −11.7563 11.5427i −1.04734 1.02831i
\(127\) 4.60449 + 14.1712i 0.408583 + 1.25749i 0.917867 + 0.396889i \(0.129910\pi\)
−0.509284 + 0.860599i \(0.670090\pi\)
\(128\) −1.22094 11.6164i −0.107917 1.02676i
\(129\) 7.90189 1.93543i 0.695723 0.170405i
\(130\) −8.48228 + 6.60873i −0.743946 + 0.579624i
\(131\) 1.40768 13.3932i 0.122989 1.17017i −0.742714 0.669609i \(-0.766462\pi\)
0.865703 0.500558i \(-0.166872\pi\)
\(132\) 0.0550306 + 0.403689i 0.00478980 + 0.0351366i
\(133\) −8.27862 + 3.68588i −0.717847 + 0.319606i
\(134\) −0.450138 + 1.38538i −0.0388860 + 0.119679i
\(135\) 2.17499 11.4136i 0.187194 0.982323i
\(136\) −4.17535 12.8504i −0.358033 1.10191i
\(137\) 6.11073 + 6.78665i 0.522075 + 0.579823i 0.945300 0.326201i \(-0.105769\pi\)
−0.423225 + 0.906024i \(0.639102\pi\)
\(138\) −11.3668 2.05285i −0.967606 0.174751i
\(139\) 7.85045 8.71881i 0.665866 0.739520i −0.311692 0.950183i \(-0.600896\pi\)
0.977559 + 0.210664i \(0.0675625\pi\)
\(140\) 0.107009 0.371299i 0.00904391 0.0313805i
\(141\) −13.3638 + 15.7931i −1.12544 + 1.33002i
\(142\) 4.55506 2.02805i 0.382253 0.170190i
\(143\) −17.5787 −1.47000
\(144\) 9.45969 7.80499i 0.788307 0.650416i
\(145\) 11.3974 + 11.8342i 0.946507 + 0.982778i
\(146\) 0.668217 + 6.35766i 0.0553020 + 0.526163i
\(147\) −3.75266 + 12.8854i −0.309514 + 1.06277i
\(148\) 0.0307179 0.0341157i 0.00252500 0.00280429i
\(149\) −4.73317 8.19809i −0.387756 0.671614i 0.604391 0.796688i \(-0.293416\pi\)
−0.992147 + 0.125074i \(0.960083\pi\)
\(150\) 11.8042 3.74645i 0.963808 0.305896i
\(151\) 7.67377 13.2914i 0.624482 1.08164i −0.364158 0.931337i \(-0.618643\pi\)
0.988641 0.150298i \(-0.0480234\pi\)
\(152\) −2.03859 6.27414i −0.165352 0.508900i
\(153\) 9.02082 11.3510i 0.729290 0.917676i
\(154\) 23.2258 16.8745i 1.87159 1.35979i
\(155\) 0.768753 + 1.23395i 0.0617478 + 0.0991134i
\(156\) −0.137963 0.222836i −0.0110459 0.0178412i
\(157\) 10.9037 + 18.8858i 0.870210 + 1.50725i 0.861780 + 0.507283i \(0.169350\pi\)
0.00843010 + 0.999964i \(0.497317\pi\)
\(158\) −0.245154 + 2.33249i −0.0195034 + 0.185563i
\(159\) −6.15222 1.11110i −0.487903 0.0881158i
\(160\) 0.527351 + 0.213889i 0.0416907 + 0.0169094i
\(161\) 5.53422 + 17.0326i 0.436157 + 1.34235i
\(162\) 12.3113 + 3.75203i 0.967264 + 0.294787i
\(163\) −3.56614 + 10.9754i −0.279321 + 0.859663i 0.708722 + 0.705488i \(0.249272\pi\)
−0.988044 + 0.154175i \(0.950728\pi\)
\(164\) 0.165041 + 0.0350805i 0.0128875 + 0.00273933i
\(165\) 18.9867 + 7.02882i 1.47811 + 0.547193i
\(166\) −15.8109 + 3.36071i −1.22716 + 0.260842i
\(167\) 0.441309 4.19878i 0.0341495 0.324911i −0.964089 0.265580i \(-0.914437\pi\)
0.998238 0.0593312i \(-0.0188968\pi\)
\(168\) −17.2132 7.03767i −1.32803 0.542968i
\(169\) −1.54569 + 0.688185i −0.118899 + 0.0529373i
\(170\) 15.2159 + 2.70407i 1.16700 + 0.207393i
\(171\) 4.40437 5.54208i 0.336810 0.423813i
\(172\) −0.170990 + 0.124232i −0.0130379 + 0.00947258i
\(173\) 9.65824 + 2.05292i 0.734302 + 0.156081i 0.559861 0.828587i \(-0.310855\pi\)
0.174441 + 0.984668i \(0.444188\pi\)
\(174\) −14.3878 + 11.1453i −1.09074 + 0.844927i
\(175\) −13.7767 13.3758i −1.04142 1.01112i
\(176\) 10.6849 + 18.5068i 0.805405 + 1.39500i
\(177\) −11.1442 7.58422i −0.837650 0.570065i
\(178\) 0.452369 + 4.30400i 0.0339065 + 0.322599i
\(179\) −2.85965 + 2.07766i −0.213740 + 0.155292i −0.689504 0.724281i \(-0.742172\pi\)
0.475764 + 0.879573i \(0.342172\pi\)
\(180\) 0.0599132 + 0.295849i 0.00446566 + 0.0220513i
\(181\) 12.3513 + 8.97372i 0.918062 + 0.667011i 0.943041 0.332677i \(-0.107952\pi\)
−0.0249788 + 0.999688i \(0.507952\pi\)
\(182\) −9.23386 + 15.9935i −0.684459 + 1.18552i
\(183\) −6.00690 9.70225i −0.444043 0.717211i
\(184\) −12.7526 + 2.71065i −0.940134 + 0.199832i
\(185\) −0.777352 2.14473i −0.0571520 0.157683i
\(186\) −1.45034 + 0.699954i −0.106344 + 0.0513231i
\(187\) 16.9052 + 18.7751i 1.23623 + 1.37297i
\(188\) 0.166090 0.511171i 0.0121133 0.0372810i
\(189\) −3.90604 19.5691i −0.284123 1.42345i
\(190\) 7.42906 + 1.32025i 0.538960 + 0.0957808i
\(191\) 12.4128 + 13.7858i 0.898157 + 0.997505i 0.999996 + 0.00270389i \(0.000860677\pi\)
−0.101839 + 0.994801i \(0.532473\pi\)
\(192\) 6.40175 11.9206i 0.462006 0.860292i
\(193\) −5.82208 10.0841i −0.419082 0.725872i 0.576765 0.816910i \(-0.304315\pi\)
−0.995847 + 0.0910384i \(0.970981\pi\)
\(194\) −2.42259 + 23.0494i −0.173932 + 1.65485i
\(195\) −12.9969 + 0.837195i −0.930728 + 0.0599528i
\(196\) −0.0364453 0.346754i −0.00260324 0.0247681i
\(197\) 6.93084 5.03555i 0.493802 0.358768i −0.312843 0.949805i \(-0.601281\pi\)
0.806645 + 0.591037i \(0.201281\pi\)
\(198\) −9.99776 + 20.0746i −0.710510 + 1.42664i
\(199\) 17.3700 1.23133 0.615663 0.788010i \(-0.288888\pi\)
0.615663 + 0.788010i \(0.288888\pi\)
\(200\) 10.7324 8.95644i 0.758892 0.633316i
\(201\) −1.39479 + 1.08045i −0.0983809 + 0.0762094i
\(202\) 5.34137 5.93220i 0.375818 0.417388i
\(203\) 25.7787 + 11.4774i 1.80931 + 0.805556i
\(204\) −0.105325 + 0.361652i −0.00737424 + 0.0253207i
\(205\) 5.39813 6.41569i 0.377021 0.448091i
\(206\) −0.721060 0.523881i −0.0502386 0.0365005i
\(207\) −9.98280 9.80140i −0.693853 0.681244i
\(208\) −11.1214 8.08016i −0.771129 0.560258i
\(209\) 8.25388 + 9.16686i 0.570933 + 0.634085i
\(210\) 16.3685 13.5824i 1.12953 0.937276i
\(211\) −3.14108 + 3.48852i −0.216241 + 0.240160i −0.841500 0.540258i \(-0.818327\pi\)
0.625259 + 0.780418i \(0.284993\pi\)
\(212\) 0.158868 0.0337685i 0.0109111 0.00231923i
\(213\) 5.94304 + 1.07332i 0.407211 + 0.0735427i
\(214\) −11.9147 2.53255i −0.814474 0.173122i
\(215\) 1.44772 + 10.4026i 0.0987340 + 0.709450i
\(216\) 14.4652 1.33884i 0.984229 0.0910965i
\(217\) 2.02004 + 1.46764i 0.137129 + 0.0996301i
\(218\) 7.28791 12.6230i 0.493599 0.854939i
\(219\) −3.66330 + 6.82135i −0.247543 + 0.460944i
\(220\) −0.525684 + 0.0176495i −0.0354416 + 0.00118993i
\(221\) −14.8471 6.61034i −0.998721 0.444659i
\(222\) 2.45440 0.601162i 0.164728 0.0403474i
\(223\) −15.4209 3.27781i −1.03266 0.219499i −0.339745 0.940518i \(-0.610341\pi\)
−0.692915 + 0.721019i \(0.743674\pi\)
\(224\) 0.977368 0.0653032
\(225\) 14.3727 + 4.29254i 0.958179 + 0.286170i
\(226\) −9.06813 −0.603203
\(227\) −7.05368 1.49931i −0.468169 0.0995124i −0.0322143 0.999481i \(-0.510256\pi\)
−0.435955 + 0.899969i \(0.643589\pi\)
\(228\) −0.0514245 + 0.176575i −0.00340567 + 0.0116939i
\(229\) 9.43095 + 4.19893i 0.623215 + 0.277473i 0.693951 0.720022i \(-0.255868\pi\)
−0.0707365 + 0.997495i \(0.522535\pi\)
\(230\) 4.12954 14.3287i 0.272294 0.944804i
\(231\) 34.7553 1.06956i 2.28673 0.0703722i
\(232\) −10.2712 + 17.7902i −0.674337 + 1.16799i
\(233\) −10.0148 7.27620i −0.656094 0.476680i 0.209248 0.977863i \(-0.432898\pi\)
−0.865341 + 0.501183i \(0.832898\pi\)
\(234\) 0.622901 14.4131i 0.0407203 0.942211i
\(235\) −18.5276 19.2376i −1.20861 1.25492i
\(236\) 0.342555 + 0.0728122i 0.0222984 + 0.00473967i
\(237\) −1.83494 + 2.16849i −0.119192 + 0.140858i
\(238\) 25.9622 5.51843i 1.68288 0.357707i
\(239\) 10.7186 11.9042i 0.693326 0.770016i −0.288973 0.957337i \(-0.593314\pi\)
0.982299 + 0.187321i \(0.0599804\pi\)
\(240\) 8.78135 + 13.1742i 0.566833 + 0.850393i
\(241\) −1.95862 2.17526i −0.126166 0.140121i 0.676752 0.736211i \(-0.263387\pi\)
−0.802918 + 0.596090i \(0.796720\pi\)
\(242\) −18.8886 13.7234i −1.21421 0.882173i
\(243\) 9.77062 + 12.1464i 0.626785 + 0.779192i
\(244\) 0.239840 + 0.174254i 0.0153542 + 0.0111555i
\(245\) −16.0557 6.51206i −1.02576 0.416041i
\(246\) 6.42396 + 6.70759i 0.409577 + 0.427660i
\(247\) −7.24900 3.22746i −0.461243 0.205358i
\(248\) −1.21628 + 1.35081i −0.0772338 + 0.0857768i
\(249\) −18.1218 7.40914i −1.14842 0.469535i
\(250\) 3.26102 + 15.6522i 0.206245 + 0.989930i
\(251\) −4.72015 −0.297933 −0.148967 0.988842i \(-0.547595\pi\)
−0.148967 + 0.988842i \(0.547595\pi\)
\(252\) 0.286329 + 0.432181i 0.0180371 + 0.0272249i
\(253\) 19.7220 14.3289i 1.23991 0.900849i
\(254\) −2.22731 21.1914i −0.139754 1.32967i
\(255\) 13.3931 + 13.0764i 0.838711 + 0.818875i
\(256\) −0.112829 + 1.07349i −0.00705179 + 0.0670933i
\(257\) −10.6050 18.3684i −0.661523 1.14579i −0.980215 0.197934i \(-0.936577\pi\)
0.318692 0.947858i \(-0.396756\pi\)
\(258\) −11.6285 + 0.357856i −0.723958 + 0.0222792i
\(259\) −2.62164 2.91163i −0.162901 0.180920i
\(260\) 0.304309 0.147915i 0.0188725 0.00917331i
\(261\) −22.0017 + 1.35545i −1.36187 + 0.0839001i
\(262\) −5.95111 + 18.3156i −0.367661 + 1.13154i
\(263\) −4.94948 5.49696i −0.305198 0.338957i 0.570962 0.820976i \(-0.306570\pi\)
−0.876161 + 0.482019i \(0.839904\pi\)
\(264\) −1.87034 + 25.2440i −0.115112 + 1.55366i
\(265\) 2.23509 7.75532i 0.137301 0.476406i
\(266\) 12.6759 2.69434i 0.777209 0.165201i
\(267\) −2.47998 + 4.61792i −0.151772 + 0.282612i
\(268\) 0.0229181 0.0396953i 0.00139994 0.00242478i
\(269\) 22.6424 + 16.4507i 1.38053 + 1.00301i 0.996830 + 0.0795565i \(0.0253504\pi\)
0.383700 + 0.923458i \(0.374650\pi\)
\(270\) −6.43584 + 15.3184i −0.391672 + 0.932251i
\(271\) −16.6545 + 12.1002i −1.01169 + 0.735034i −0.964562 0.263855i \(-0.915006\pi\)
−0.0471255 + 0.998889i \(0.515006\pi\)
\(272\) 2.06519 + 19.6489i 0.125220 + 1.19139i
\(273\) −20.1447 + 9.72213i −1.21921 + 0.588410i
\(274\) −6.52978 11.3099i −0.394479 0.683257i
\(275\) −11.5210 + 23.4613i −0.694745 + 1.41477i
\(276\) 0.336424 + 0.137548i 0.0202504 + 0.00827942i
\(277\) 2.66279 + 0.565994i 0.159992 + 0.0340073i 0.287211 0.957867i \(-0.407272\pi\)
−0.127219 + 0.991875i \(0.540605\pi\)
\(278\) −13.5734 + 9.86163i −0.814077 + 0.591461i
\(279\) −1.92922 0.287452i −0.115499 0.0172093i
\(280\) 11.2995 21.1824i 0.675272 1.26589i
\(281\) −21.9561 + 9.77547i −1.30979 + 0.583156i −0.938474 0.345351i \(-0.887760\pi\)
−0.371316 + 0.928507i \(0.621093\pi\)
\(282\) 23.3887 18.1178i 1.39278 1.07890i
\(283\) −0.805482 + 7.66365i −0.0478809 + 0.455557i 0.944146 + 0.329528i \(0.106890\pi\)
−0.992027 + 0.126028i \(0.959777\pi\)
\(284\) −0.153467 + 0.0326204i −0.00910657 + 0.00193566i
\(285\) 6.53913 + 6.38448i 0.387345 + 0.378184i
\(286\) 24.5888 + 5.22651i 1.45397 + 0.309050i
\(287\) 4.44991 13.6954i 0.262670 0.808415i
\(288\) −0.677072 + 0.352842i −0.0398969 + 0.0207914i
\(289\) 1.96470 + 6.04671i 0.115570 + 0.355689i
\(290\) −12.4240 19.9422i −0.729563 1.17105i
\(291\) −18.1327 + 21.4288i −1.06296 + 1.25618i
\(292\) 0.0210263 0.200052i 0.00123047 0.0117071i
\(293\) −13.7967 23.8965i −0.806010 1.39605i −0.915607 0.402074i \(-0.868289\pi\)
0.109597 0.993976i \(-0.465044\pi\)
\(294\) 9.08026 16.9081i 0.529571 0.986103i
\(295\) 11.2042 13.3162i 0.652334 0.775302i
\(296\) 2.30749 1.67649i 0.134120 0.0974441i
\(297\) −23.6906 + 13.2880i −1.37467 + 0.771051i
\(298\) 4.18322 + 12.8746i 0.242327 + 0.745807i
\(299\) −7.84086 + 13.5808i −0.453449 + 0.785397i
\(300\) −0.387827 + 0.0380853i −0.0223912 + 0.00219885i
\(301\) 9.01914 + 15.6216i 0.519855 + 0.900415i
\(302\) −14.6857 + 16.3102i −0.845070 + 0.938545i
\(303\) 9.39085 2.30013i 0.539490 0.132139i
\(304\) 1.00832 + 9.59348i 0.0578309 + 0.550224i
\(305\) 13.2496 6.44021i 0.758669 0.368765i
\(306\) −15.9931 + 13.1956i −0.914264 + 0.754340i
\(307\) −29.8034 −1.70097 −0.850485 0.526000i \(-0.823691\pi\)
−0.850485 + 0.526000i \(0.823691\pi\)
\(308\) −0.825255 + 0.367427i −0.0470233 + 0.0209361i
\(309\) −0.365010 1.01593i −0.0207647 0.0577943i
\(310\) −0.708441 1.95460i −0.0402367 0.111014i
\(311\) −3.70318 + 4.11280i −0.209988 + 0.233215i −0.838933 0.544234i \(-0.816820\pi\)
0.628945 + 0.777450i \(0.283487\pi\)
\(312\) −5.50586 15.3244i −0.311708 0.867575i
\(313\) 3.83120 + 4.25498i 0.216552 + 0.240506i 0.841627 0.540059i \(-0.181598\pi\)
−0.625075 + 0.780565i \(0.714932\pi\)
\(314\) −9.63679 29.6590i −0.543836 1.67375i
\(315\) 25.6456 2.44603i 1.44497 0.137818i
\(316\) 0.0228051 0.0701870i 0.00128289 0.00394833i
\(317\) 10.6366 4.73570i 0.597409 0.265984i −0.0856755 0.996323i \(-0.527305\pi\)
0.683084 + 0.730340i \(0.260638\pi\)
\(318\) 8.27528 + 3.38337i 0.464055 + 0.189730i
\(319\) 4.01499 38.2001i 0.224796 2.13879i
\(320\) 14.4686 + 9.78754i 0.808820 + 0.547140i
\(321\) −10.2046 10.6551i −0.569563 0.594710i
\(322\) −2.67704 25.4703i −0.149186 1.41941i
\(323\) 3.52414 + 10.8462i 0.196089 + 0.603498i
\(324\) −0.354378 0.196025i −0.0196876 0.0108903i
\(325\) 0.631986 16.8018i 0.0350563 0.931998i
\(326\) 8.25148 14.2920i 0.457007 0.791560i
\(327\) 15.8994 7.67328i 0.879237 0.424334i
\(328\) 9.57677 + 4.26385i 0.528789 + 0.235432i
\(329\) −41.9056 18.6576i −2.31033 1.02862i
\(330\) −24.4685 15.4769i −1.34695 0.851978i
\(331\) −18.2816 + 8.13951i −1.00485 + 0.447388i −0.842124 0.539284i \(-0.818695\pi\)
−0.162725 + 0.986671i \(0.552028\pi\)
\(332\) 0.508625 0.0279144
\(333\) 2.86728 + 1.07059i 0.157126 + 0.0586677i
\(334\) −1.86568 + 5.74198i −0.102086 + 0.314187i
\(335\) −1.20441 1.93324i −0.0658040 0.105624i
\(336\) 22.4800 + 15.2988i 1.22639 + 0.834620i
\(337\) 3.88794 0.826407i 0.211790 0.0450173i −0.100795 0.994907i \(-0.532139\pi\)
0.312584 + 0.949890i \(0.398805\pi\)
\(338\) 2.36670 0.503057i 0.128731 0.0273627i
\(339\) −9.08003 6.17943i −0.493159 0.335621i
\(340\) −0.450633 0.182773i −0.0244390 0.00991226i
\(341\) 1.05028 3.23242i 0.0568757 0.175045i
\(342\) −7.80853 + 6.44266i −0.422237 + 0.348379i
\(343\) −2.87436 −0.155201
\(344\) −11.9963 + 5.34108i −0.646795 + 0.287972i
\(345\) 13.8992 11.5334i 0.748305 0.620938i
\(346\) −12.8994 5.74319i −0.693477 0.308756i
\(347\) 33.5579 + 14.9409i 1.80148 + 0.802072i 0.968601 + 0.248620i \(0.0799772\pi\)
0.832882 + 0.553451i \(0.186689\pi\)
\(348\) 0.515754 0.248911i 0.0276473 0.0133430i
\(349\) 5.56763 9.64341i 0.298028 0.516200i −0.677657 0.735378i \(-0.737004\pi\)
0.975685 + 0.219179i \(0.0703377\pi\)
\(350\) 15.2938 + 22.8060i 0.817486 + 1.21903i
\(351\) 10.4454 14.0075i 0.557536 0.747665i
\(352\) −0.411112 1.26527i −0.0219124 0.0674393i
\(353\) 0.311118 + 2.96009i 0.0165592 + 0.157550i 0.999677 0.0254251i \(-0.00809395\pi\)
−0.983118 + 0.182975i \(0.941427\pi\)
\(354\) 13.3334 + 13.9221i 0.708663 + 0.739951i
\(355\) −2.15910 + 7.49164i −0.114593 + 0.397615i
\(356\) 0.0142344 0.135431i 0.000754420 0.00717783i
\(357\) 29.7567 + 12.1661i 1.57489 + 0.643900i
\(358\) 4.61777 2.05596i 0.244057 0.108661i
\(359\) 0.714480 2.19894i 0.0377088 0.116056i −0.930430 0.366469i \(-0.880567\pi\)
0.968139 + 0.250413i \(0.0805665\pi\)
\(360\) −0.180587 + 18.7534i −0.00951776 + 0.988390i
\(361\) −4.15068 12.7745i −0.218457 0.672341i
\(362\) −14.6087 16.2246i −0.767815 0.852745i
\(363\) −9.56167 26.6130i −0.501858 1.39682i
\(364\) 0.388839 0.431849i 0.0203807 0.0226351i
\(365\) −8.27944 5.60077i −0.433366 0.293158i
\(366\) 5.51768 + 15.3573i 0.288414 + 0.802741i
\(367\) −15.4758 + 6.89027i −0.807830 + 0.359669i −0.768736 0.639567i \(-0.779114\pi\)
−0.0390939 + 0.999236i \(0.512447\pi\)
\(368\) 19.0637 0.993766
\(369\) 1.86154 + 11.0940i 0.0969079 + 0.577529i
\(370\) 0.449676 + 3.23113i 0.0233775 + 0.167979i
\(371\) −1.44894 13.7857i −0.0752250 0.715718i
\(372\) 0.0492186 0.0120553i 0.00255187 0.000625036i
\(373\) −16.8689 + 18.7348i −0.873437 + 0.970050i −0.999759 0.0219391i \(-0.993016\pi\)
0.126322 + 0.991989i \(0.459683\pi\)
\(374\) −18.0645 31.2886i −0.934094 1.61790i
\(375\) −7.40080 + 17.8949i −0.382175 + 0.924090i
\(376\) 16.6967 28.9196i 0.861069 1.49141i
\(377\) 7.63542 + 23.4994i 0.393244 + 1.21028i
\(378\) −0.354602 + 28.5344i −0.0182387 + 1.46765i
\(379\) 19.7932 14.3806i 1.01671 0.738681i 0.0511021 0.998693i \(-0.483727\pi\)
0.965605 + 0.260012i \(0.0837266\pi\)
\(380\) −0.220019 0.0892379i −0.0112867 0.00457781i
\(381\) 12.2106 22.7370i 0.625566 1.16485i
\(382\) −13.2640 22.9739i −0.678645 1.17545i
\(383\) 0.000525732 0.00500201i 2.68637e−5 0.000255591i −0.994508 0.104656i \(-0.966626\pi\)
0.994535 + 0.104401i \(0.0332924\pi\)
\(384\) −13.0684 + 15.4439i −0.666893 + 0.788119i
\(385\) −3.19160 + 44.7766i −0.162659 + 2.28203i
\(386\) 5.14561 + 15.8365i 0.261904 + 0.806059i
\(387\) −11.8876 7.56585i −0.604281 0.384594i
\(388\) 0.225358 0.693582i 0.0114408 0.0352113i
\(389\) −10.1990 2.16786i −0.517109 0.109915i −0.0580377 0.998314i \(-0.518484\pi\)
−0.459071 + 0.888400i \(0.651818\pi\)
\(390\) 18.4288 + 2.69320i 0.933178 + 0.136375i
\(391\) 22.0456 4.68593i 1.11489 0.236978i
\(392\) 2.26435 21.5439i 0.114367 1.08813i
\(393\) −18.4400 + 14.2843i −0.930176 + 0.720548i
\(394\) −11.1919 + 4.98297i −0.563841 + 0.251038i
\(395\) −2.54395 2.64144i −0.128000 0.132905i
\(396\) 0.439050 0.552463i 0.0220631 0.0277623i
\(397\) −4.80180 + 3.48871i −0.240996 + 0.175094i −0.701727 0.712446i \(-0.747587\pi\)
0.460731 + 0.887540i \(0.347587\pi\)
\(398\) −24.2969 5.16446i −1.21789 0.258871i
\(399\) 14.5286 + 5.94004i 0.727338 + 0.297374i
\(400\) −18.0731 + 9.54735i −0.903653 + 0.477368i
\(401\) 9.95507 + 17.2427i 0.497133 + 0.861059i 0.999995 0.00330780i \(-0.00105291\pi\)
−0.502862 + 0.864367i \(0.667720\pi\)
\(402\) 2.27225 1.09662i 0.113330 0.0546946i
\(403\) 0.228537 + 2.17438i 0.0113842 + 0.108314i
\(404\) −0.203210 + 0.147641i −0.0101101 + 0.00734540i
\(405\) −16.8830 + 10.9529i −0.838921 + 0.544253i
\(406\) −32.6463 23.7190i −1.62021 1.17715i
\(407\) −2.66656 + 4.61862i −0.132177 + 0.228937i
\(408\) −11.0725 + 20.6179i −0.548172 + 1.02074i
\(409\) 4.78216 1.01648i 0.236463 0.0502617i −0.0881559 0.996107i \(-0.528097\pi\)
0.324619 + 0.945845i \(0.394764\pi\)
\(410\) −9.45833 + 7.36920i −0.467114 + 0.363939i
\(411\) 1.16874 15.7744i 0.0576495 0.778096i
\(412\) 0.0187659 + 0.0208417i 0.000924531 + 0.00102680i
\(413\) 9.23611 28.4258i 0.454479 1.39874i
\(414\) 11.0496 + 16.6781i 0.543060 + 0.819686i
\(415\) 11.8959 22.3005i 0.583946 1.09469i
\(416\) 0.572650 + 0.635993i 0.0280765 + 0.0311821i
\(417\) −20.3113 + 0.625064i −0.994651 + 0.0306095i
\(418\) −8.81990 15.2765i −0.431395 0.747199i
\(419\) −1.33241 + 12.6770i −0.0650923 + 0.619312i 0.912540 + 0.408988i \(0.134118\pi\)
−0.977632 + 0.210323i \(0.932548\pi\)
\(420\) −0.592658 + 0.310963i −0.0289188 + 0.0151734i
\(421\) 1.83515 + 17.4603i 0.0894397 + 0.850962i 0.943630 + 0.331001i \(0.107387\pi\)
−0.854191 + 0.519960i \(0.825947\pi\)
\(422\) 5.43091 3.94579i 0.264372 0.192078i
\(423\) 35.7657 2.20340i 1.73899 0.107133i
\(424\) 10.0910 0.490063
\(425\) −18.5532 + 15.4831i −0.899961 + 0.751041i
\(426\) −7.99392 3.26833i −0.387307 0.158351i
\(427\) 16.9300 18.8027i 0.819300 0.909925i
\(428\) 0.350151 + 0.155897i 0.0169252 + 0.00753558i
\(429\) 21.0595 + 21.9893i 1.01676 + 1.06165i
\(430\) 1.06785 14.9814i 0.0514964 0.722468i
\(431\) 23.8727 + 17.3445i 1.14991 + 0.835456i 0.988469 0.151427i \(-0.0483867\pi\)
0.161438 + 0.986883i \(0.448387\pi\)
\(432\) −21.0961 2.48270i −1.01499 0.119449i
\(433\) 15.9668 + 11.6006i 0.767316 + 0.557488i 0.901146 0.433517i \(-0.142727\pi\)
−0.133830 + 0.991004i \(0.542727\pi\)
\(434\) −2.38924 2.65352i −0.114687 0.127373i
\(435\) 1.14921 28.4347i 0.0551002 1.36334i
\(436\) −0.306895 + 0.340841i −0.0146976 + 0.0163233i
\(437\) 10.7636 2.28788i 0.514895 0.109444i
\(438\) 7.15230 8.45243i 0.341750 0.403873i
\(439\) −12.0097 2.55274i −0.573192 0.121836i −0.0878087 0.996137i \(-0.527986\pi\)
−0.485383 + 0.874302i \(0.661320\pi\)
\(440\) −32.1751 5.71796i −1.53389 0.272593i
\(441\) 20.6142 10.7426i 0.981626 0.511554i
\(442\) 18.8024 + 13.6608i 0.894341 + 0.649777i
\(443\) −11.4062 + 19.7562i −0.541926 + 0.938643i 0.456868 + 0.889535i \(0.348971\pi\)
−0.998793 + 0.0491085i \(0.984362\pi\)
\(444\) −0.0794760 + 0.00244580i −0.00377176 + 0.000116073i
\(445\) −5.60501 3.79161i −0.265703 0.179739i
\(446\) 20.5960 + 9.16991i 0.975247 + 0.434208i
\(447\) −4.58465 + 15.7422i −0.216846 + 0.744579i
\(448\) 29.3454 + 6.23756i 1.38644 + 0.294697i
\(449\) −4.10374 −0.193668 −0.0968338 0.995301i \(-0.530872\pi\)
−0.0968338 + 0.995301i \(0.530872\pi\)
\(450\) −18.8280 10.2776i −0.887562 0.484493i
\(451\) −19.6015 −0.922997
\(452\) 0.279105 + 0.0593256i 0.0131280 + 0.00279044i
\(453\) −25.8195 + 6.32405i −1.21311 + 0.297130i
\(454\) 9.42080 + 4.19441i 0.442140 + 0.196853i
\(455\) −9.84001 27.1487i −0.461307 1.27275i
\(456\) −5.40610 + 10.0666i −0.253164 + 0.471411i
\(457\) 9.06472 15.7006i 0.424030 0.734441i −0.572299 0.820045i \(-0.693948\pi\)
0.996329 + 0.0856035i \(0.0272818\pi\)
\(458\) −11.9434 8.67742i −0.558080 0.405469i
\(459\) −25.0061 + 2.31447i −1.16719 + 0.108030i
\(460\) −0.220843 + 0.414001i −0.0102968 + 0.0193029i
\(461\) −23.0180 4.89262i −1.07205 0.227872i −0.362113 0.932134i \(-0.617945\pi\)
−0.709940 + 0.704262i \(0.751278\pi\)
\(462\) −48.9332 8.83739i −2.27658 0.411153i
\(463\) 3.50086 0.744131i 0.162699 0.0345827i −0.125842 0.992050i \(-0.540163\pi\)
0.288541 + 0.957468i \(0.406830\pi\)
\(464\) 20.0991 22.3223i 0.933075 1.03629i
\(465\) 0.622583 2.43993i 0.0288716 0.113149i
\(466\) 11.8452 + 13.1555i 0.548720 + 0.609415i
\(467\) 12.8399 + 9.32877i 0.594162 + 0.431684i 0.843802 0.536655i \(-0.180312\pi\)
−0.249640 + 0.968339i \(0.580312\pi\)
\(468\) −0.113465 + 0.439539i −0.00524493 + 0.0203177i
\(469\) −3.16481 2.29937i −0.146137 0.106175i
\(470\) 20.1964 + 32.4179i 0.931589 + 1.49532i
\(471\) 10.5615 36.2649i 0.486650 1.67100i
\(472\) 19.8773 + 8.84994i 0.914927 + 0.407352i
\(473\) 16.4296 18.2469i 0.755432 0.838992i
\(474\) 3.21142 2.48768i 0.147505 0.114263i
\(475\) −9.05849 + 7.55955i −0.415632 + 0.346856i
\(476\) −0.835184 −0.0382806
\(477\) 5.98056 + 9.02696i 0.273831 + 0.413316i
\(478\) −18.5323 + 13.4645i −0.847648 + 0.615852i
\(479\) 1.76013 + 16.7466i 0.0804226 + 0.765170i 0.958200 + 0.286100i \(0.0923591\pi\)
−0.877777 + 0.479069i \(0.840974\pi\)
\(480\) −0.364218 0.915908i −0.0166242 0.0418053i
\(481\) 0.358606 3.41191i 0.0163510 0.155569i
\(482\) 2.09293 + 3.62506i 0.0953304 + 0.165117i
\(483\) 14.6761 27.3280i 0.667785 1.24347i
\(484\) 0.491585 + 0.545961i 0.0223448 + 0.0248164i
\(485\) −25.1391 26.1025i −1.14151 1.18525i
\(486\) −10.0556 19.8952i −0.456132 0.902465i
\(487\) −3.07445 + 9.46219i −0.139317 + 0.428773i −0.996236 0.0866771i \(-0.972375\pi\)
0.856920 + 0.515450i \(0.172375\pi\)
\(488\) 12.3247 + 13.6880i 0.557914 + 0.619626i
\(489\) 18.0015 8.68781i 0.814057 0.392876i
\(490\) 20.5223 + 13.8827i 0.927104 + 0.627155i
\(491\) −11.4989 + 2.44418i −0.518940 + 0.110304i −0.459933 0.887953i \(-0.652127\pi\)
−0.0590068 + 0.998258i \(0.518793\pi\)
\(492\) −0.153839 0.248478i −0.00693558 0.0112022i
\(493\) 17.7559 30.7542i 0.799688 1.38510i
\(494\) 9.18019 + 6.66980i 0.413036 + 0.300089i
\(495\) −13.9539 32.1712i −0.627182 1.44599i
\(496\) 2.15027 1.56227i 0.0965502 0.0701478i
\(497\) 1.39967 + 13.3170i 0.0627838 + 0.597348i
\(498\) 23.1456 + 15.7518i 1.03718 + 0.705854i
\(499\) 12.7440 + 22.0733i 0.570501 + 0.988137i 0.996514 + 0.0834204i \(0.0265844\pi\)
−0.426013 + 0.904717i \(0.640082\pi\)
\(500\) 0.00202981 0.503087i 9.07757e−5 0.0224987i
\(501\) −5.78097 + 4.47815i −0.258275 + 0.200069i
\(502\) 6.60247 + 1.40340i 0.294683 + 0.0626367i
\(503\) −3.86329 + 2.80684i −0.172256 + 0.125151i −0.670573 0.741844i \(-0.733952\pi\)
0.498317 + 0.866995i \(0.333952\pi\)
\(504\) 11.8182 + 29.9634i 0.526424 + 1.33467i
\(505\) 1.72052 + 12.3628i 0.0765621 + 0.550135i
\(506\) −31.8471 + 14.1792i −1.41578 + 0.630344i
\(507\) 2.71261 + 1.10906i 0.120471 + 0.0492550i
\(508\) −0.0700851 + 0.666815i −0.00310952 + 0.0295851i
\(509\) 0.205186 0.0436136i 0.00909471 0.00193314i −0.203362 0.979104i \(-0.565187\pi\)
0.212457 + 0.977170i \(0.431854\pi\)
\(510\) −14.8462 22.2731i −0.657403 0.986270i
\(511\) −16.7924 3.56935i −0.742854 0.157899i
\(512\) −6.74190 + 20.7494i −0.297953 + 0.917005i
\(513\) −12.2091 + 1.13003i −0.539045 + 0.0498919i
\(514\) 9.37282 + 28.8466i 0.413417 + 1.27237i
\(515\) 1.35270 0.335334i 0.0596071 0.0147766i
\(516\) 0.360251 + 0.0650617i 0.0158591 + 0.00286418i
\(517\) −6.52673 + 62.0977i −0.287045 + 2.73105i
\(518\) 2.80142 + 4.85221i 0.123088 + 0.213194i
\(519\) −9.00267 14.5410i −0.395174 0.638278i
\(520\) 20.4043 5.05822i 0.894787 0.221818i
\(521\) −10.5015 + 7.62978i −0.460079 + 0.334267i −0.793562 0.608489i \(-0.791776\pi\)
0.333484 + 0.942756i \(0.391776\pi\)
\(522\) 31.1786 + 4.64558i 1.36465 + 0.203331i
\(523\) 11.1175 + 34.2162i 0.486136 + 1.49617i 0.830329 + 0.557273i \(0.188152\pi\)
−0.344194 + 0.938899i \(0.611848\pi\)
\(524\) 0.302992 0.524797i 0.0132363 0.0229259i
\(525\) −0.227220 + 33.2578i −0.00991669 + 1.45149i
\(526\) 5.28890 + 9.16064i 0.230607 + 0.399423i
\(527\) 2.10260 2.33517i 0.0915906 0.101722i
\(528\) 10.3496 35.5372i 0.450409 1.54656i
\(529\) 0.130967 + 1.24606i 0.00569420 + 0.0541767i
\(530\) −5.43223 + 10.1835i −0.235961 + 0.442342i
\(531\) 3.86376 + 23.0264i 0.167673 + 0.999259i
\(532\) −0.407774 −0.0176792
\(533\) 11.5191 5.12864i 0.498948 0.222146i
\(534\) 4.84196 5.72212i 0.209532 0.247620i
\(535\) 15.0247 11.7061i 0.649575 0.506098i
\(536\) 1.90555 2.11633i 0.0823073 0.0914116i
\(537\) 6.02486 + 1.08810i 0.259992 + 0.0469548i
\(538\) −26.7807 29.7430i −1.15460 1.28231i
\(539\) 12.5167 + 38.5225i 0.539133 + 1.65928i
\(540\) 0.298303 0.429377i 0.0128369 0.0184774i
\(541\) 5.95413 18.3249i 0.255988 0.787850i −0.737646 0.675188i \(-0.764062\pi\)
0.993633 0.112661i \(-0.0359376\pi\)
\(542\) 26.8937 11.9738i 1.15518 0.514320i
\(543\) −3.57169 26.2009i −0.153276 1.12439i
\(544\) 0.128569 1.22325i 0.00551235 0.0524465i
\(545\) 7.76632 + 21.4274i 0.332672 + 0.917849i
\(546\) 31.0687 7.60974i 1.32962 0.325667i
\(547\) −4.57078 43.4881i −0.195433 1.85942i −0.450868 0.892591i \(-0.648885\pi\)
0.255435 0.966826i \(-0.417781\pi\)
\(548\) 0.126986 + 0.390823i 0.00542458 + 0.0166951i
\(549\) −4.94026 + 19.1375i −0.210845 + 0.816768i
\(550\) 23.0910 29.3918i 0.984603 1.25327i
\(551\) 8.66924 15.0156i 0.369322 0.639685i
\(552\) 18.6685 + 12.7049i 0.794585 + 0.540757i
\(553\) −5.75389 2.56180i −0.244680 0.108939i
\(554\) −3.55639 1.58341i −0.151097 0.0672726i
\(555\) −1.75158 + 3.54180i −0.0743502 + 0.150341i
\(556\) 0.482287 0.214728i 0.0204535 0.00910650i
\(557\) 42.9035 1.81788 0.908939 0.416929i \(-0.136894\pi\)
0.908939 + 0.416929i \(0.136894\pi\)
\(558\) 2.61310 + 0.975680i 0.110621 + 0.0413038i
\(559\) −4.88088 + 15.0218i −0.206439 + 0.635354i
\(560\) −22.6011 + 26.8614i −0.955069 + 1.13510i
\(561\) 3.23329 43.6397i 0.136509 1.84247i
\(562\) 33.6183 7.14578i 1.41810 0.301427i
\(563\) −15.5556 + 3.30645i −0.655591 + 0.139350i −0.523685 0.851912i \(-0.675443\pi\)
−0.131906 + 0.991262i \(0.542110\pi\)
\(564\) −0.838404 + 0.404627i −0.0353032 + 0.0170379i
\(565\) 9.12891 10.8497i 0.384056 0.456452i
\(566\) 3.40526 10.4803i 0.143134 0.440520i
\(567\) −19.7997 + 28.3302i −0.831508 + 1.18976i
\(568\) −9.74791 −0.409013
\(569\) 21.5787 9.60744i 0.904624 0.402765i 0.0989287 0.995095i \(-0.468458\pi\)
0.805696 + 0.592330i \(0.201792\pi\)
\(570\) −7.24860 10.8747i −0.303610 0.455492i
\(571\) −1.06659 0.474875i −0.0446353 0.0198729i 0.384298 0.923209i \(-0.374444\pi\)
−0.428933 + 0.903336i \(0.641110\pi\)
\(572\) −0.722618 0.321730i −0.0302142 0.0134522i
\(573\) 2.37406 32.0428i 0.0991780 1.33861i
\(574\) −10.2964 + 17.8339i −0.429763 + 0.744372i
\(575\) 12.9866 + 19.3656i 0.541578 + 0.807600i
\(576\) −22.5809 + 6.27299i −0.940870 + 0.261374i
\(577\) −10.2147 31.4377i −0.425244 1.30877i −0.902760 0.430144i \(-0.858463\pi\)
0.477516 0.878623i \(-0.341537\pi\)
\(578\) −0.950373 9.04219i −0.0395303 0.376106i
\(579\) −5.63938 + 19.3638i −0.234365 + 0.804731i
\(580\) 0.251929 + 0.695075i 0.0104608 + 0.0288614i
\(581\) 4.53747 43.1711i 0.188246 1.79104i
\(582\) 31.7350 24.5831i 1.31546 1.01900i
\(583\) −17.2371 + 7.67445i −0.713888 + 0.317843i
\(584\) 3.86200 11.8860i 0.159811 0.491847i
\(585\) 16.6177 + 15.2549i 0.687058 + 0.630714i
\(586\) 12.1936 + 37.5281i 0.503714 + 1.55027i
\(587\) 2.46506 + 2.73772i 0.101744 + 0.112998i 0.791866 0.610695i \(-0.209110\pi\)
−0.690122 + 0.723693i \(0.742443\pi\)
\(588\) −0.390095 + 0.461005i −0.0160872 + 0.0190115i
\(589\) 1.02658 1.14013i 0.0422996 0.0469784i
\(590\) −19.6315 + 15.2953i −0.808215 + 0.629698i
\(591\) −14.6022 2.63718i −0.600656 0.108479i
\(592\) −3.81002 + 1.69633i −0.156591 + 0.0697187i
\(593\) 18.3600 0.753956 0.376978 0.926222i \(-0.376963\pi\)
0.376978 + 0.926222i \(0.376963\pi\)
\(594\) 37.0889 11.5434i 1.52178 0.473631i
\(595\) −19.5335 + 36.6184i −0.800797 + 1.50121i
\(596\) −0.0445255 0.423631i −0.00182383 0.0173526i
\(597\) −20.8095 21.7282i −0.851674 0.889277i
\(598\) 15.0055 16.6653i 0.613622 0.681496i
\(599\) 21.7553 + 37.6813i 0.888897 + 1.53961i 0.841181 + 0.540754i \(0.181861\pi\)
0.0477161 + 0.998861i \(0.484806\pi\)
\(600\) −24.0612 2.69525i −0.982293 0.110033i
\(601\) 4.47712 7.75460i 0.182626 0.316317i −0.760148 0.649750i \(-0.774874\pi\)
0.942774 + 0.333433i \(0.108207\pi\)
\(602\) −7.97120 24.5328i −0.324882 0.999884i
\(603\) 3.02252 + 0.450352i 0.123087 + 0.0183398i
\(604\) 0.558712 0.405928i 0.0227337 0.0165170i
\(605\) 35.4348 8.78430i 1.44063 0.357132i
\(606\) −13.8197 + 0.425288i −0.561385 + 0.0172761i
\(607\) 2.21210 + 3.83147i 0.0897864 + 0.155515i 0.907421 0.420223i \(-0.138048\pi\)
−0.817634 + 0.575738i \(0.804715\pi\)
\(608\) 0.0627731 0.597246i 0.00254579 0.0242215i
\(609\) −16.5260 45.9968i −0.669668 1.86388i
\(610\) −20.4481 + 5.06909i −0.827920 + 0.205241i
\(611\) −12.4121 38.2004i −0.502138 1.54542i
\(612\) 0.578574 0.301512i 0.0233875 0.0121879i
\(613\) −6.60377 + 20.3243i −0.266724 + 0.820891i 0.724568 + 0.689204i \(0.242040\pi\)
−0.991291 + 0.131687i \(0.957960\pi\)
\(614\) 41.6885 + 8.86117i 1.68241 + 0.357608i
\(615\) −14.4925 + 0.933531i −0.584392 + 0.0376436i
\(616\) −54.8990 + 11.6691i −2.21194 + 0.470163i
\(617\) 3.36726 32.0374i 0.135561 1.28978i −0.689315 0.724462i \(-0.742088\pi\)
0.824876 0.565314i \(-0.191245\pi\)
\(618\) 0.208513 + 1.52959i 0.00838763 + 0.0615293i
\(619\) −36.7704 + 16.3712i −1.47793 + 0.658015i −0.978105 0.208113i \(-0.933268\pi\)
−0.499822 + 0.866128i \(0.666601\pi\)
\(620\) 0.00901746 + 0.0647948i 0.000362150 + 0.00260222i
\(621\) −0.301107 + 24.2297i −0.0120830 + 0.972306i
\(622\) 6.40277 4.65188i 0.256728 0.186524i
\(623\) −11.3681 2.41637i −0.455455 0.0968099i
\(624\) 3.21604 + 23.5919i 0.128745 + 0.944434i
\(625\) −22.0102 11.8554i −0.880409 0.474215i
\(626\) −4.09393 7.09089i −0.163626 0.283409i
\(627\) 1.57863 21.3068i 0.0630446 0.850913i
\(628\) 0.102572 + 0.975910i 0.00409308 + 0.0389431i
\(629\) −3.98900 + 2.89817i −0.159052 + 0.115558i
\(630\) −36.5999 4.20351i −1.45818 0.167472i
\(631\) −0.646758 0.469897i −0.0257470 0.0187063i 0.574837 0.818268i \(-0.305065\pi\)
−0.600584 + 0.799561i \(0.705065\pi\)
\(632\) 2.29257 3.97084i 0.0911934 0.157952i
\(633\) 8.12687 0.250097i 0.323014 0.00994047i
\(634\) −16.2863 + 3.46176i −0.646811 + 0.137484i
\(635\) 27.5971 + 18.6686i 1.09516 + 0.740839i
\(636\) −0.232567 0.158274i −0.00922190 0.00627598i
\(637\) −17.4349 19.3634i −0.690796 0.767207i
\(638\) −16.9738 + 52.2399i −0.671999 + 2.06820i
\(639\) −5.77722 8.72004i −0.228543 0.344960i
\(640\) −18.1180 18.8123i −0.716175 0.743620i
\(641\) −19.2596 21.3900i −0.760709 0.844853i 0.231054 0.972941i \(-0.425783\pi\)
−0.991763 + 0.128088i \(0.959116\pi\)
\(642\) 11.1060 + 17.9382i 0.438319 + 0.707966i
\(643\) 24.5329 + 42.4923i 0.967484 + 1.67573i 0.702789 + 0.711399i \(0.251938\pi\)
0.264695 + 0.964332i \(0.414729\pi\)
\(644\) −0.0842365 + 0.801456i −0.00331938 + 0.0315818i
\(645\) 11.2783 14.2734i 0.444081 0.562014i
\(646\) −1.70472 16.2193i −0.0670712 0.638139i
\(647\) −11.9156 + 8.65721i −0.468452 + 0.340350i −0.796838 0.604194i \(-0.793495\pi\)
0.328386 + 0.944544i \(0.393495\pi\)
\(648\) −19.0042 16.4906i −0.746556 0.647812i
\(649\) −40.6843 −1.59700
\(650\) −5.87955 + 23.3142i −0.230615 + 0.914460i
\(651\) −0.584146 4.28513i −0.0228945 0.167948i
\(652\) −0.347471 + 0.385905i −0.0136080 + 0.0151132i
\(653\) −24.4047 10.8657i −0.955030 0.425207i −0.130766 0.991413i \(-0.541744\pi\)
−0.824263 + 0.566207i \(0.808410\pi\)
\(654\) −24.5212 + 6.00605i −0.958856 + 0.234855i
\(655\) −15.9231 25.5587i −0.622167 0.998661i
\(656\) −12.4011 9.00994i −0.484182 0.351779i
\(657\) 12.9216 3.58962i 0.504118 0.140044i
\(658\) 53.0696 + 38.5573i 2.06887 + 1.50312i
\(659\) −3.60401 4.00266i −0.140392 0.155922i 0.668848 0.743399i \(-0.266788\pi\)
−0.809240 + 0.587478i \(0.800121\pi\)
\(660\) 0.651854 + 0.636438i 0.0253734 + 0.0247733i
\(661\) −16.2515 + 18.0492i −0.632111 + 0.702031i −0.971077 0.238768i \(-0.923256\pi\)
0.338965 + 0.940799i \(0.389923\pi\)
\(662\) 27.9921 5.94991i 1.08794 0.231250i
\(663\) 9.51805 + 26.4915i 0.369650 + 1.02885i
\(664\) 30.9103 + 6.57019i 1.19955 + 0.254973i
\(665\) −9.53715 + 17.8787i −0.369835 + 0.693307i
\(666\) −3.69240 2.35002i −0.143077 0.0910614i
\(667\) −27.7214 20.1408i −1.07338 0.779854i
\(668\) 0.0949884 0.164525i 0.00367521 0.00636565i
\(669\) 14.3742 + 23.2170i 0.555739 + 0.897620i
\(670\) 1.10992 + 3.06229i 0.0428799 + 0.118306i
\(671\) −31.4627 14.0081i −1.21460 0.540776i
\(672\) −1.17090 1.22260i −0.0451684 0.0471627i
\(673\) −33.3569 7.09023i −1.28581 0.273308i −0.486213 0.873840i \(-0.661622\pi\)
−0.799601 + 0.600532i \(0.794955\pi\)
\(674\) −5.68410 −0.218943
\(675\) −11.8491 23.1214i −0.456072 0.889943i
\(676\) −0.0761349 −0.00292826
\(677\) −4.88333 1.03798i −0.187682 0.0398930i 0.113112 0.993582i \(-0.463918\pi\)
−0.300794 + 0.953689i \(0.597252\pi\)
\(678\) 10.8637 + 11.3434i 0.417219 + 0.435640i
\(679\) −56.8595 25.3155i −2.18207 0.971519i
\(680\) −25.0251 16.9286i −0.959667 0.649183i
\(681\) 6.57490 + 10.6197i 0.251951 + 0.406947i
\(682\) −2.43018 + 4.20919i −0.0930563 + 0.161178i
\(683\) 6.26357 + 4.55075i 0.239669 + 0.174130i 0.701136 0.713028i \(-0.252677\pi\)
−0.461467 + 0.887157i \(0.652677\pi\)
\(684\) 0.282486 0.147211i 0.0108011 0.00562877i
\(685\) 20.1055 + 3.57303i 0.768192 + 0.136519i
\(686\) 4.02062 + 0.854608i 0.153508 + 0.0326291i
\(687\) −6.04593 16.8276i −0.230667 0.642013i
\(688\) 18.7817 3.99217i 0.716044 0.152200i
\(689\) 8.12167 9.02003i 0.309411 0.343636i
\(690\) −22.8710 + 12.0002i −0.870686 + 0.456842i
\(691\) 21.4759 + 23.8514i 0.816983 + 0.907351i 0.997085 0.0762967i \(-0.0243096\pi\)
−0.180103 + 0.983648i \(0.557643\pi\)
\(692\) 0.359454 + 0.261158i 0.0136644 + 0.00992775i
\(693\) −42.9752 42.1943i −1.63249 1.60283i
\(694\) −42.4980 30.8766i −1.61320 1.17206i
\(695\) 1.86520 26.1679i 0.0707512 0.992603i
\(696\) 34.5589 8.46461i 1.30995 0.320850i
\(697\) −16.5555 7.37098i −0.627084 0.279196i
\(698\) −10.6551 + 11.8337i −0.403301 + 0.447911i
\(699\) 2.89605 + 21.2446i 0.109539 + 0.803545i
\(700\) −0.321520 0.801994i −0.0121523 0.0303125i
\(701\) −2.23365 −0.0843639 −0.0421819 0.999110i \(-0.513431\pi\)
−0.0421819 + 0.999110i \(0.513431\pi\)
\(702\) −18.7756 + 16.4878i −0.708640 + 0.622293i
\(703\) −1.94761 + 1.41502i −0.0734553 + 0.0533684i
\(704\) −4.26864 40.6134i −0.160881 1.53068i
\(705\) −1.86814 + 46.2231i −0.0703581 + 1.74086i
\(706\) 0.444910 4.23303i 0.0167444 0.159312i
\(707\) 10.7186 + 18.5652i 0.403115 + 0.698216i
\(708\) −0.319303 0.515733i −0.0120002 0.0193825i
\(709\) 27.4071 + 30.4387i 1.02930 + 1.14315i 0.989587 + 0.143938i \(0.0459765\pi\)
0.0397092 + 0.999211i \(0.487357\pi\)
\(710\) 5.24754 9.83724i 0.196936 0.369185i
\(711\) 4.91085 0.302541i 0.184171 0.0113462i
\(712\) 2.61449 8.04659i 0.0979823 0.301559i
\(713\) −2.02880 2.25321i −0.0759793 0.0843835i
\(714\) −38.0060 25.8651i −1.42234 0.967977i
\(715\) −31.0070 + 24.1582i −1.15959 + 0.903466i
\(716\) −0.155579 + 0.0330694i −0.00581427 + 0.00123586i
\(717\) −27.7320 + 0.853426i −1.03567 + 0.0318718i
\(718\) −1.65319 + 2.86342i −0.0616967 + 0.106862i
\(719\) 11.5919 + 8.42199i 0.432304 + 0.314087i 0.782570 0.622563i \(-0.213909\pi\)
−0.350265 + 0.936650i \(0.613909\pi\)
\(720\) 5.95957 26.7675i 0.222100 0.997567i
\(721\) 1.93641 1.40689i 0.0721158 0.0523952i
\(722\) 2.00779 + 19.1028i 0.0747221 + 0.710934i
\(723\) −0.374604 + 5.05604i −0.0139317 + 0.188036i
\(724\) 0.343491 + 0.594944i 0.0127657 + 0.0221109i
\(725\) 36.3676 + 5.21092i 1.35066 + 0.193529i
\(726\) 5.46213 + 40.0687i 0.202719 + 1.48709i
\(727\) 33.4120 + 7.10195i 1.23918 + 0.263397i 0.780473 0.625189i \(-0.214978\pi\)
0.458710 + 0.888586i \(0.348312\pi\)
\(728\) 29.2091 21.2217i 1.08256 0.786527i
\(729\) 3.48869 26.7737i 0.129211 0.991617i
\(730\) 9.91593 + 10.2959i 0.367005 + 0.381069i
\(731\) 20.7381 9.23319i 0.767026 0.341502i
\(732\) −0.0693560 0.508776i −0.00256347 0.0188049i
\(733\) 4.64837 44.2263i 0.171691 1.63353i −0.481574 0.876405i \(-0.659935\pi\)
0.653266 0.757129i \(-0.273398\pi\)
\(734\) 23.6959 5.03672i 0.874632 0.185909i
\(735\) 11.0890 + 27.8857i 0.409023 + 1.02858i
\(736\) −1.16089 0.246754i −0.0427908 0.00909548i
\(737\) −1.64548 + 5.06426i −0.0606119 + 0.186544i
\(738\) 0.694578 16.0716i 0.0255678 0.591602i
\(739\) −6.83528 21.0368i −0.251440 0.773852i −0.994510 0.104639i \(-0.966631\pi\)
0.743071 0.669213i \(-0.233369\pi\)
\(740\) 0.00729833 0.102392i 0.000268292 0.00376400i
\(741\) 4.64714 + 12.9344i 0.170717 + 0.475155i
\(742\) −2.07203 + 19.7140i −0.0760665 + 0.723724i
\(743\) 5.42519 + 9.39670i 0.199031 + 0.344732i 0.948214 0.317631i \(-0.102887\pi\)
−0.749184 + 0.662362i \(0.769554\pi\)
\(744\) 3.14686 0.0968418i 0.115369 0.00355039i
\(745\) −19.6154 7.95583i −0.718651 0.291479i
\(746\) 29.1662 21.1905i 1.06785 0.775838i
\(747\) 12.4420 + 31.5449i 0.455228 + 1.15417i
\(748\) 0.351305 + 1.08120i 0.0128450 + 0.0395328i
\(749\) 16.3560 28.3294i 0.597635 1.03513i
\(750\) 15.6727 22.8307i 0.572284 0.833660i
\(751\) 7.68498 + 13.3108i 0.280429 + 0.485717i 0.971490 0.237079i \(-0.0761900\pi\)
−0.691062 + 0.722796i \(0.742857\pi\)
\(752\) −32.6728 + 36.2869i −1.19146 + 1.32325i
\(753\) 5.65479 + 5.90446i 0.206072 + 0.215171i
\(754\) −3.69344 35.1408i −0.134507 1.27975i
\(755\) −4.73045 33.9905i −0.172159 1.23704i
\(756\) 0.197592 0.875930i 0.00718635 0.0318573i
\(757\) −32.9738 −1.19845 −0.599226 0.800580i \(-0.704525\pi\)
−0.599226 + 0.800580i \(0.704525\pi\)
\(758\) −31.9620 + 14.2304i −1.16091 + 0.516872i
\(759\) −41.5513 7.50421i −1.50822 0.272385i
\(760\) −12.2184 8.26531i −0.443206 0.299814i
\(761\) −21.4690 + 23.8438i −0.778251 + 0.864336i −0.993688 0.112182i \(-0.964216\pi\)
0.215436 + 0.976518i \(0.430883\pi\)
\(762\) −23.8401 + 28.1737i −0.863637 + 1.02063i
\(763\) 26.1921 + 29.0893i 0.948219 + 1.05310i
\(764\) 0.257948 + 0.793883i 0.00933224 + 0.0287217i
\(765\) 0.312183 32.4192i 0.0112870 1.17212i
\(766\) −0.00222259 + 0.00684042i −8.03054e−5 + 0.000247155i
\(767\) 23.9088 10.6449i 0.863295 0.384364i
\(768\) 1.47801 1.14492i 0.0533331 0.0413137i
\(769\) 4.43746 42.2196i 0.160019 1.52248i −0.559981 0.828505i \(-0.689192\pi\)
0.720000 0.693974i \(-0.244142\pi\)
\(770\) 17.7774 61.6838i 0.640652 2.22293i