Properties

Label 547.2.o.a.4.16
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.16
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.956173 - 0.0110038i) q^{2} +(-0.143432 + 0.628415i) q^{3} +(-1.08532 - 0.0249835i) q^{4} +(-1.82781 + 3.43443i) q^{5} +(0.144060 - 0.599296i) q^{6} +(0.431500 + 1.06330i) q^{7} +(2.94882 + 0.101842i) q^{8} +(2.32857 + 1.12138i) q^{9} +O(q^{10})\) \(q+(-0.956173 - 0.0110038i) q^{2} +(-0.143432 + 0.628415i) q^{3} +(-1.08532 - 0.0249835i) q^{4} +(-1.82781 + 3.43443i) q^{5} +(0.144060 - 0.599296i) q^{6} +(0.431500 + 1.06330i) q^{7} +(2.94882 + 0.101842i) q^{8} +(2.32857 + 1.12138i) q^{9} +(1.78550 - 3.26380i) q^{10} +(0.710739 + 0.739958i) q^{11} +(0.171370 - 0.678451i) q^{12} +(0.0967855 + 0.0145881i) q^{13} +(-0.400889 - 1.02145i) q^{14} +(-1.89608 - 1.64123i) q^{15} +(-0.649535 - 0.0299197i) q^{16} +(-0.853878 + 5.06971i) q^{17} +(-2.21418 - 1.09786i) q^{18} +(-0.515000 + 0.277898i) q^{19} +(2.06957 - 3.68181i) q^{20} +(-0.730085 + 0.118650i) q^{21} +(-0.671448 - 0.715349i) q^{22} +(-2.17880 - 0.510505i) q^{23} +(-0.486953 + 1.83847i) q^{24} +(-5.66165 - 8.40765i) q^{25} +(-0.0923832 - 0.0150137i) q^{26} +(-2.24434 + 2.81432i) q^{27} +(-0.441753 - 1.16481i) q^{28} +(-5.77655 - 3.29092i) q^{29} +(1.79492 + 1.59016i) q^{30} +(-2.73209 - 0.982546i) q^{31} +(-5.27064 - 0.303599i) q^{32} +(-0.566943 + 0.340506i) q^{33} +(0.872241 - 4.83813i) q^{34} +(-4.44054 - 0.461553i) q^{35} +(-2.49924 - 1.27524i) q^{36} +(-2.75678 + 2.22453i) q^{37} +(0.495487 - 0.260052i) q^{38} +(-0.0230495 + 0.0587291i) q^{39} +(-5.73965 + 9.94136i) q^{40} +(3.51155 + 6.08219i) q^{41} +(0.699394 - 0.105417i) q^{42} +(0.581048 - 5.92130i) q^{43} +(-0.752896 - 0.820851i) q^{44} +(-8.10750 + 5.94766i) q^{45} +(2.07770 + 0.512106i) q^{46} +(10.6410 - 0.859028i) q^{47} +(0.111966 - 0.403887i) q^{48} +(4.07602 - 3.96041i) q^{49} +(5.32100 + 8.10147i) q^{50} +(-3.06341 - 1.26375i) q^{51} +(-0.104679 - 0.0182508i) q^{52} +(-0.0140329 + 0.00486506i) q^{53} +(2.17695 - 2.66628i) q^{54} +(-3.84043 + 1.08848i) q^{55} +(1.16413 + 3.17942i) q^{56} +(-0.100768 - 0.363493i) q^{57} +(5.48717 + 3.21026i) q^{58} +(0.555861 - 0.236830i) q^{59} +(2.01686 + 1.82864i) q^{60} +(4.24339 - 1.98368i) q^{61} +(2.60154 + 0.969548i) q^{62} +(-0.187586 + 2.95985i) q^{63} +(6.33366 + 0.438010i) q^{64} +(-0.227007 + 0.305739i) q^{65} +(0.545843 - 0.319344i) q^{66} +(-7.71105 - 7.49234i) q^{67} +(1.05339 - 5.48095i) q^{68} +(0.633318 - 1.29597i) q^{69} +(4.24084 + 0.490188i) q^{70} +(-2.28742 + 0.453286i) q^{71} +(6.75233 + 3.54390i) q^{72} +(-10.8457 + 9.38788i) q^{73} +(2.66044 - 2.09670i) q^{74} +(6.09556 - 2.35194i) q^{75} +(0.565885 - 0.288743i) q^{76} +(-0.480114 + 1.07502i) q^{77} +(0.0226855 - 0.0559015i) q^{78} +(-3.89317 - 2.78769i) q^{79} +(1.28998 - 2.17610i) q^{80} +(3.38762 + 4.24794i) q^{81} +(-3.29073 - 5.85427i) q^{82} +(-2.17213 - 1.37357i) q^{83} +(0.795343 - 0.110534i) q^{84} +(-15.8509 - 12.1991i) q^{85} +(-0.620739 + 5.65540i) q^{86} +(2.89661 - 3.15805i) q^{87} +(2.02048 + 2.25438i) q^{88} +(0.539835 + 6.23925i) q^{89} +(7.81762 - 5.59778i) q^{90} +(0.0262515 + 0.109207i) q^{91} +(2.35195 + 0.608497i) q^{92} +(1.00931 - 1.57596i) q^{93} +(-10.1841 + 0.704288i) q^{94} +(-0.0130998 - 2.27668i) q^{95} +(0.946764 - 3.26861i) q^{96} +(1.60059 + 12.0240i) q^{97} +(-3.94096 + 3.74198i) q^{98} +(0.825233 + 2.52006i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.956173 0.0110038i −0.676117 0.00778087i −0.327228 0.944945i \(-0.606115\pi\)
−0.348888 + 0.937164i \(0.613441\pi\)
\(3\) −0.143432 + 0.628415i −0.0828103 + 0.362816i −0.999307 0.0372270i \(-0.988148\pi\)
0.916497 + 0.400043i \(0.131005\pi\)
\(4\) −1.08532 0.0249835i −0.542662 0.0124918i
\(5\) −1.82781 + 3.43443i −0.817422 + 1.53592i 0.0266190 + 0.999646i \(0.491526\pi\)
−0.844041 + 0.536279i \(0.819829\pi\)
\(6\) 0.144060 0.599296i 0.0588124 0.244661i
\(7\) 0.431500 + 1.06330i 0.163092 + 0.401890i 0.986103 0.166135i \(-0.0531288\pi\)
−0.823011 + 0.568025i \(0.807708\pi\)
\(8\) 2.94882 + 0.101842i 1.04256 + 0.0360067i
\(9\) 2.32857 + 1.12138i 0.776191 + 0.373794i
\(10\) 1.78550 3.26380i 0.564623 1.03210i
\(11\) 0.710739 + 0.739958i 0.214296 + 0.223106i 0.819671 0.572835i \(-0.194156\pi\)
−0.605375 + 0.795940i \(0.706977\pi\)
\(12\) 0.171370 0.678451i 0.0494702 0.195852i
\(13\) 0.0967855 + 0.0145881i 0.0268435 + 0.00404600i 0.162450 0.986717i \(-0.448060\pi\)
−0.135607 + 0.990763i \(0.543298\pi\)
\(14\) −0.400889 1.02145i −0.107142 0.272993i
\(15\) −1.89608 1.64123i −0.489567 0.423764i
\(16\) −0.649535 0.0299197i −0.162384 0.00747992i
\(17\) −0.853878 + 5.06971i −0.207096 + 1.22959i 0.667454 + 0.744651i \(0.267384\pi\)
−0.874550 + 0.484935i \(0.838843\pi\)
\(18\) −2.21418 1.09786i −0.521887 0.258768i
\(19\) −0.515000 + 0.277898i −0.118149 + 0.0637542i −0.532885 0.846188i \(-0.678892\pi\)
0.414736 + 0.909942i \(0.363874\pi\)
\(20\) 2.06957 3.68181i 0.462770 0.823277i
\(21\) −0.730085 + 0.118650i −0.159318 + 0.0258916i
\(22\) −0.671448 0.715349i −0.143153 0.152513i
\(23\) −2.17880 0.510505i −0.454312 0.106448i −0.00532482 0.999986i \(-0.501695\pi\)
−0.448987 + 0.893538i \(0.648215\pi\)
\(24\) −0.486953 + 1.83847i −0.0993989 + 0.375277i
\(25\) −5.66165 8.40765i −1.13233 1.68153i
\(26\) −0.0923832 0.0150137i −0.0181178 0.00294443i
\(27\) −2.24434 + 2.81432i −0.431924 + 0.541616i
\(28\) −0.441753 1.16481i −0.0834834 0.220128i
\(29\) −5.77655 3.29092i −1.07268 0.611109i −0.146891 0.989153i \(-0.546927\pi\)
−0.925788 + 0.378044i \(0.876597\pi\)
\(30\) 1.79492 + 1.59016i 0.327707 + 0.290323i
\(31\) −2.73209 0.982546i −0.490697 0.176471i 0.0813592 0.996685i \(-0.474074\pi\)
−0.572056 + 0.820214i \(0.693854\pi\)
\(32\) −5.27064 0.303599i −0.931727 0.0536693i
\(33\) −0.566943 + 0.340506i −0.0986922 + 0.0592745i
\(34\) 0.872241 4.83813i 0.149588 0.829732i
\(35\) −4.44054 0.461553i −0.750588 0.0780168i
\(36\) −2.49924 1.27524i −0.416540 0.212540i
\(37\) −2.75678 + 2.22453i −0.453212 + 0.365710i −0.827372 0.561654i \(-0.810165\pi\)
0.374160 + 0.927364i \(0.377931\pi\)
\(38\) 0.495487 0.260052i 0.0803787 0.0421860i
\(39\) −0.0230495 + 0.0587291i −0.00369087 + 0.00940418i
\(40\) −5.73965 + 9.94136i −0.907518 + 1.57187i
\(41\) 3.51155 + 6.08219i 0.548413 + 0.949879i 0.998384 + 0.0568354i \(0.0181010\pi\)
−0.449971 + 0.893043i \(0.648566\pi\)
\(42\) 0.699394 0.105417i 0.107919 0.0162661i
\(43\) 0.581048 5.92130i 0.0886089 0.902990i −0.842609 0.538526i \(-0.818981\pi\)
0.931218 0.364464i \(-0.118748\pi\)
\(44\) −0.752896 0.820851i −0.113503 0.123748i
\(45\) −8.10750 + 5.94766i −1.20859 + 0.886624i
\(46\) 2.07770 + 0.512106i 0.306340 + 0.0755059i
\(47\) 10.6410 0.859028i 1.55214 0.125302i 0.725577 0.688141i \(-0.241573\pi\)
0.826567 + 0.562838i \(0.190291\pi\)
\(48\) 0.111966 0.403887i 0.0161609 0.0582960i
\(49\) 4.07602 3.96041i 0.582288 0.565773i
\(50\) 5.32100 + 8.10147i 0.752504 + 1.14572i
\(51\) −3.06341 1.26375i −0.428964 0.176960i
\(52\) −0.104679 0.0182508i −0.0145164 0.00253093i
\(53\) −0.0140329 + 0.00486506i −0.00192757 + 0.000668267i −0.328526 0.944495i \(-0.606552\pi\)
0.326598 + 0.945163i \(0.394098\pi\)
\(54\) 2.17695 2.66628i 0.296245 0.362835i
\(55\) −3.84043 + 1.08848i −0.517844 + 0.146771i
\(56\) 1.16413 + 3.17942i 0.155563 + 0.424868i
\(57\) −0.100768 0.363493i −0.0133471 0.0481459i
\(58\) 5.48717 + 3.21026i 0.720501 + 0.421527i
\(59\) 0.555861 0.236830i 0.0723670 0.0308327i −0.355480 0.934684i \(-0.615683\pi\)
0.427847 + 0.903851i \(0.359272\pi\)
\(60\) 2.01686 + 1.82864i 0.260376 + 0.236076i
\(61\) 4.24339 1.98368i 0.543311 0.253985i −0.132343 0.991204i \(-0.542250\pi\)
0.675653 + 0.737219i \(0.263862\pi\)
\(62\) 2.60154 + 0.969548i 0.330395 + 0.123133i
\(63\) −0.187586 + 2.95985i −0.0236336 + 0.372906i
\(64\) 6.33366 + 0.438010i 0.791707 + 0.0547512i
\(65\) −0.227007 + 0.305739i −0.0281568 + 0.0379223i
\(66\) 0.545843 0.319344i 0.0671886 0.0393086i
\(67\) −7.71105 7.49234i −0.942055 0.915335i 0.0544800 0.998515i \(-0.482650\pi\)
−0.996535 + 0.0831799i \(0.973492\pi\)
\(68\) 1.05339 5.48095i 0.127743 0.664663i
\(69\) 0.633318 1.29597i 0.0762426 0.156017i
\(70\) 4.24084 + 0.490188i 0.506878 + 0.0585886i
\(71\) −2.28742 + 0.453286i −0.271467 + 0.0537952i −0.328248 0.944591i \(-0.606458\pi\)
0.0567814 + 0.998387i \(0.481916\pi\)
\(72\) 6.75233 + 3.54390i 0.795770 + 0.417652i
\(73\) −10.8457 + 9.38788i −1.26939 + 1.09877i −0.279023 + 0.960284i \(0.590011\pi\)
−0.990365 + 0.138484i \(0.955777\pi\)
\(74\) 2.66044 2.09670i 0.309270 0.243736i
\(75\) 6.09556 2.35194i 0.703854 0.271579i
\(76\) 0.565885 0.288743i 0.0649115 0.0331211i
\(77\) −0.480114 + 1.07502i −0.0547140 + 0.122510i
\(78\) 0.0226855 0.0559015i 0.00256863 0.00632960i
\(79\) −3.89317 2.78769i −0.438016 0.313639i 0.341659 0.939824i \(-0.389011\pi\)
−0.779675 + 0.626185i \(0.784616\pi\)
\(80\) 1.28998 2.17610i 0.144225 0.243295i
\(81\) 3.38762 + 4.24794i 0.376402 + 0.471993i
\(82\) −3.29073 5.85427i −0.363400 0.646496i
\(83\) −2.17213 1.37357i −0.238422 0.150769i 0.409912 0.912125i \(-0.365560\pi\)
−0.648334 + 0.761356i \(0.724534\pi\)
\(84\) 0.795343 0.110534i 0.0867791 0.0120603i
\(85\) −15.8509 12.1991i −1.71927 1.32317i
\(86\) −0.620739 + 5.65540i −0.0669360 + 0.609837i
\(87\) 2.89661 3.15805i 0.310549 0.338578i
\(88\) 2.02048 + 2.25438i 0.215384 + 0.240318i
\(89\) 0.539835 + 6.23925i 0.0572224 + 0.661359i 0.968409 + 0.249366i \(0.0802222\pi\)
−0.911187 + 0.411993i \(0.864833\pi\)
\(90\) 7.81762 5.59778i 0.824050 0.590057i
\(91\) 0.0262515 + 0.109207i 0.00275190 + 0.0114480i
\(92\) 2.35195 + 0.608497i 0.245208 + 0.0634402i
\(93\) 1.00931 1.57596i 0.104661 0.163419i
\(94\) −10.1841 + 0.704288i −1.05041 + 0.0726418i
\(95\) −0.0130998 2.27668i −0.00134401 0.233582i
\(96\) 0.946764 3.26861i 0.0966287 0.333601i
\(97\) 1.60059 + 12.0240i 0.162515 + 1.22085i 0.862263 + 0.506460i \(0.169046\pi\)
−0.699749 + 0.714389i \(0.746705\pi\)
\(98\) −3.94096 + 3.74198i −0.398097 + 0.377998i
\(99\) 0.825233 + 2.52006i 0.0829391 + 0.253275i
\(100\) 5.93467 + 9.26647i 0.593467 + 0.926647i
\(101\) −0.974010 1.31182i −0.0969177 0.130531i 0.751770 0.659425i \(-0.229200\pi\)
−0.848688 + 0.528894i \(0.822607\pi\)
\(102\) 2.91525 + 1.24207i 0.288652 + 0.122983i
\(103\) 2.17599 + 4.72546i 0.214407 + 0.465613i 0.985186 0.171489i \(-0.0548579\pi\)
−0.770779 + 0.637103i \(0.780133\pi\)
\(104\) 0.283917 + 0.0528744i 0.0278403 + 0.00518476i
\(105\) 0.926961 2.72430i 0.0904621 0.265864i
\(106\) 0.0134714 0.00449742i 0.00130846 0.000436828i
\(107\) 14.1746 3.49372i 1.37031 0.337751i 0.515587 0.856837i \(-0.327574\pi\)
0.854722 + 0.519086i \(0.173728\pi\)
\(108\) 2.50615 2.99838i 0.241155 0.288519i
\(109\) −6.71378 12.9729i −0.643064 1.24258i −0.956157 0.292856i \(-0.905394\pi\)
0.313093 0.949722i \(-0.398635\pi\)
\(110\) 3.68410 0.998519i 0.351265 0.0952051i
\(111\) −1.00252 2.05147i −0.0951548 0.194717i
\(112\) −0.248461 0.703562i −0.0234774 0.0664804i
\(113\) 0.0223443 + 0.776460i 0.00210197 + 0.0730432i 0.999970 + 0.00777561i \(0.00247508\pi\)
−0.997868 + 0.0652676i \(0.979210\pi\)
\(114\) 0.0923519 + 0.348671i 0.00864955 + 0.0326561i
\(115\) 5.73573 6.54985i 0.534860 0.610776i
\(116\) 6.18721 + 3.71604i 0.574468 + 0.345025i
\(117\) 0.209013 + 0.142503i 0.0193233 + 0.0131744i
\(118\) −0.534106 + 0.220334i −0.0491684 + 0.0202834i
\(119\) −5.75908 + 1.27965i −0.527934 + 0.117306i
\(120\) −5.42406 5.03279i −0.495146 0.459429i
\(121\) 0.400538 9.93924i 0.0364125 0.903568i
\(122\) −4.07925 + 1.85005i −0.369318 + 0.167496i
\(123\) −4.32581 + 1.33434i −0.390045 + 0.120313i
\(124\) 2.94065 + 1.13464i 0.264078 + 0.101894i
\(125\) 19.8755 2.06588i 1.77772 0.184778i
\(126\) 0.211934 2.82807i 0.0188806 0.251944i
\(127\) −2.70883 + 7.39826i −0.240370 + 0.656490i 0.759612 + 0.650377i \(0.225389\pi\)
−0.999981 + 0.00611279i \(0.998054\pi\)
\(128\) 4.47327 + 0.361120i 0.395385 + 0.0319188i
\(129\) 3.63770 + 1.21444i 0.320281 + 0.106926i
\(130\) 0.220423 0.289841i 0.0193323 0.0254208i
\(131\) −0.589410 0.123866i −0.0514970 0.0108222i 0.179840 0.983696i \(-0.442442\pi\)
−0.231337 + 0.972874i \(0.574310\pi\)
\(132\) 0.623824 0.355395i 0.0542969 0.0309332i
\(133\) −0.517712 0.427687i −0.0448913 0.0370852i
\(134\) 7.29065 + 7.24883i 0.629817 + 0.626203i
\(135\) −5.56335 12.8521i −0.478817 1.10613i
\(136\) −3.03424 + 14.8627i −0.260184 + 1.27447i
\(137\) 6.40369 0.147409i 0.547104 0.0125940i 0.251417 0.967879i \(-0.419103\pi\)
0.295687 + 0.955285i \(0.404451\pi\)
\(138\) −0.619823 + 1.23220i −0.0527628 + 0.104892i
\(139\) −0.922590 0.418420i −0.0782531 0.0354899i 0.373527 0.927619i \(-0.378148\pi\)
−0.451780 + 0.892130i \(0.649211\pi\)
\(140\) 4.80789 + 0.611875i 0.406341 + 0.0517129i
\(141\) −0.986425 + 6.81016i −0.0830720 + 0.573519i
\(142\) 2.19216 0.408250i 0.183962 0.0342596i
\(143\) 0.0579947 + 0.0819855i 0.00484976 + 0.00685597i
\(144\) −1.47894 0.798048i −0.123245 0.0665040i
\(145\) 21.8609 13.8240i 1.81545 1.14802i
\(146\) 10.4736 8.85710i 0.866803 0.733019i
\(147\) 1.90415 + 3.12948i 0.157052 + 0.258115i
\(148\) 3.04758 2.34546i 0.250509 0.192796i
\(149\) −6.83215 + 6.95112i −0.559712 + 0.569458i −0.933736 0.357961i \(-0.883472\pi\)
0.374025 + 0.927419i \(0.377978\pi\)
\(150\) −5.85429 + 2.18179i −0.478001 + 0.178143i
\(151\) 5.43541 + 17.9880i 0.442327 + 1.46384i 0.838112 + 0.545498i \(0.183659\pi\)
−0.395785 + 0.918343i \(0.629527\pi\)
\(152\) −1.54694 + 0.767022i −0.125474 + 0.0622137i
\(153\) −7.67340 + 10.8477i −0.620358 + 0.876983i
\(154\) 0.470901 1.02262i 0.0379463 0.0824054i
\(155\) 8.36822 7.58726i 0.672152 0.609423i
\(156\) 0.0264834 0.0631642i 0.00212037 0.00505719i
\(157\) 2.52449 + 3.02031i 0.201476 + 0.241047i 0.858489 0.512832i \(-0.171404\pi\)
−0.657013 + 0.753879i \(0.728180\pi\)
\(158\) 3.69187 + 2.70835i 0.293709 + 0.215465i
\(159\) −0.00104451 0.00951630i −8.28353e−5 0.000754692i
\(160\) 10.6764 17.5468i 0.844046 1.38719i
\(161\) −0.397335 2.53701i −0.0313143 0.199944i
\(162\) −3.19241 4.09904i −0.250819 0.322051i
\(163\) −4.21883 + 13.4028i −0.330444 + 1.04979i 0.631230 + 0.775596i \(0.282551\pi\)
−0.961674 + 0.274195i \(0.911589\pi\)
\(164\) −3.65922 6.68888i −0.285737 0.522314i
\(165\) −0.133180 2.56951i −0.0103680 0.200036i
\(166\) 2.06182 + 1.33727i 0.160028 + 0.103793i
\(167\) −0.0470618 + 2.72613i −0.00364175 + 0.210955i 0.992451 + 0.122642i \(0.0391366\pi\)
−0.996093 + 0.0883129i \(0.971852\pi\)
\(168\) −2.16497 + 0.275525i −0.167031 + 0.0212572i
\(169\) −12.4133 3.82899i −0.954869 0.294538i
\(170\) 15.0219 + 11.8388i 1.15213 + 0.907997i
\(171\) −1.51085 + 0.0695944i −0.115537 + 0.00532202i
\(172\) −0.778560 + 6.41202i −0.0593646 + 0.488912i
\(173\) 5.98376 3.97957i 0.454937 0.302561i −0.305243 0.952275i \(-0.598738\pi\)
0.760179 + 0.649714i \(0.225111\pi\)
\(174\) −2.80441 + 2.98777i −0.212602 + 0.226502i
\(175\) 6.49686 9.64794i 0.491116 0.729316i
\(176\) −0.439511 0.501894i −0.0331294 0.0378317i
\(177\) 0.0690997 + 0.383281i 0.00519385 + 0.0288091i
\(178\) −0.447520 5.97174i −0.0335431 0.447601i
\(179\) 20.0177 + 5.67357i 1.49620 + 0.424062i 0.919563 0.392942i \(-0.128543\pi\)
0.576632 + 0.817004i \(0.304367\pi\)
\(180\) 8.94786 6.25258i 0.666934 0.466040i
\(181\) 0.630081 + 3.08634i 0.0468336 + 0.229406i 0.996470 0.0839473i \(-0.0267527\pi\)
−0.949637 + 0.313353i \(0.898548\pi\)
\(182\) −0.0238993 0.104710i −0.00177153 0.00776159i
\(183\) 0.637940 + 2.95114i 0.0471579 + 0.218154i
\(184\) −6.37290 1.72728i −0.469816 0.127337i
\(185\) −2.60112 13.5340i −0.191238 0.995039i
\(186\) −0.982421 + 1.49578i −0.0720346 + 0.109676i
\(187\) −4.35826 + 2.97141i −0.318708 + 0.217291i
\(188\) −11.5704 + 0.666475i −0.843855 + 0.0486077i
\(189\) −3.96090 1.17203i −0.288113 0.0852529i
\(190\) −0.0125265 + 2.17704i −0.000908766 + 0.157939i
\(191\) 1.21512 + 19.1729i 0.0879229 + 1.38730i 0.761489 + 0.648178i \(0.224469\pi\)
−0.673566 + 0.739127i \(0.735238\pi\)
\(192\) −1.18370 + 3.91734i −0.0854261 + 0.282710i
\(193\) 0.897500 + 5.32871i 0.0646035 + 0.383569i 0.999583 + 0.0288680i \(0.00919024\pi\)
−0.934980 + 0.354701i \(0.884583\pi\)
\(194\) −1.39813 11.5146i −0.100380 0.826701i
\(195\) −0.159571 0.186507i −0.0114271 0.0133561i
\(196\) −4.52274 + 4.19649i −0.323053 + 0.299750i
\(197\) −10.1402 + 14.6906i −0.722458 + 1.04666i 0.273931 + 0.961749i \(0.411676\pi\)
−0.996389 + 0.0849113i \(0.972939\pi\)
\(198\) −0.761336 2.41869i −0.0541058 0.171889i
\(199\) −9.09822 + 9.47225i −0.644956 + 0.671470i −0.960768 0.277352i \(-0.910543\pi\)
0.315813 + 0.948821i \(0.397723\pi\)
\(200\) −15.8389 25.3692i −1.11998 1.79387i
\(201\) 5.81431 3.77110i 0.410110 0.265993i
\(202\) 0.916888 + 1.26505i 0.0645120 + 0.0890084i
\(203\) 1.00666 7.56224i 0.0706535 0.530766i
\(204\) 3.29322 + 1.44811i 0.230572 + 0.101388i
\(205\) −27.3073 + 0.943106i −1.90723 + 0.0658693i
\(206\) −2.02863 4.54230i −0.141341 0.316477i
\(207\) −4.50103 3.63202i −0.312843 0.252443i
\(208\) −0.0624291 0.0123713i −0.00432868 0.000857792i
\(209\) −0.571664 0.183565i −0.0395428 0.0126975i
\(210\) −0.916313 + 2.59470i −0.0632316 + 0.179051i
\(211\) 22.5707 2.60888i 1.55383 0.179603i 0.705360 0.708849i \(-0.250785\pi\)
0.848468 + 0.529246i \(0.177525\pi\)
\(212\) 0.0153518 0.00492957i 0.00105437 0.000338565i
\(213\) 0.0432366 1.50247i 0.00296252 0.102947i
\(214\) −13.5918 + 3.18463i −0.929117 + 0.217697i
\(215\) 19.2743 + 12.8186i 1.31449 + 0.874220i
\(216\) −6.90478 + 8.07034i −0.469811 + 0.549117i
\(217\) −0.134154 3.32900i −0.00910697 0.225987i
\(218\) 6.27679 + 12.4782i 0.425118 + 0.845131i
\(219\) −4.34388 8.16209i −0.293532 0.551543i
\(220\) 4.19531 1.08541i 0.282848 0.0731783i
\(221\) −0.156600 + 0.478218i −0.0105341 + 0.0321684i
\(222\) 0.936007 + 1.97259i 0.0628207 + 0.132392i
\(223\) −7.82246 10.2860i −0.523831 0.688804i 0.455692 0.890137i \(-0.349392\pi\)
−0.979523 + 0.201334i \(0.935472\pi\)
\(224\) −1.95147 5.73528i −0.130388 0.383205i
\(225\) −3.75539 25.9267i −0.250359 1.72845i
\(226\) −0.0128210 0.742676i −0.000852838 0.0494021i
\(227\) 6.93253 11.1038i 0.460128 0.736988i −0.533966 0.845506i \(-0.679299\pi\)
0.994095 + 0.108518i \(0.0346104\pi\)
\(228\) 0.100285 + 0.397026i 0.00664152 + 0.0262937i
\(229\) −2.90959 29.6509i −0.192271 1.95939i −0.271248 0.962509i \(-0.587436\pi\)
0.0789772 0.996876i \(-0.474835\pi\)
\(230\) −5.55643 + 6.19967i −0.366380 + 0.408794i
\(231\) −0.606697 0.455903i −0.0399177 0.0299962i
\(232\) −16.6988 10.2926i −1.09633 0.675744i
\(233\) 12.2420 + 14.9938i 0.802002 + 0.982274i 0.999998 + 0.00207134i \(0.000659328\pi\)
−0.197996 + 0.980203i \(0.563443\pi\)
\(234\) −0.198285 0.138557i −0.0129623 0.00905778i
\(235\) −16.4994 + 38.1158i −1.07630 + 2.48640i
\(236\) −0.609206 + 0.243150i −0.0396560 + 0.0158277i
\(237\) 2.31023 2.04669i 0.150066 0.132946i
\(238\) 5.52076 1.16020i 0.357858 0.0752046i
\(239\) 2.89660 6.10446i 0.187366 0.394865i −0.787931 0.615763i \(-0.788848\pi\)
0.975297 + 0.220899i \(0.0708990\pi\)
\(240\) 1.18247 + 1.12277i 0.0763280 + 0.0724743i
\(241\) −12.2904 + 16.9573i −0.791696 + 1.09232i 0.201909 + 0.979404i \(0.435285\pi\)
−0.993605 + 0.112912i \(0.963982\pi\)
\(242\) −0.492353 + 9.49923i −0.0316497 + 0.610634i
\(243\) −12.8849 + 6.20503i −0.826565 + 0.398053i
\(244\) −4.65502 + 2.04692i −0.298007 + 0.131041i
\(245\) 6.15157 + 21.2377i 0.393009 + 1.35683i
\(246\) 4.15091 1.22826i 0.264652 0.0783107i
\(247\) −0.0538985 + 0.0193836i −0.00342948 + 0.00123335i
\(248\) −7.95636 3.17559i −0.505229 0.201650i
\(249\) 1.17473 1.16799i 0.0744452 0.0740181i
\(250\) −19.0272 + 1.75663i −1.20338 + 0.111099i
\(251\) 5.38780 4.04867i 0.340075 0.255550i −0.416959 0.908925i \(-0.636904\pi\)
0.757034 + 0.653375i \(0.226648\pi\)
\(252\) 0.277539 3.20771i 0.0174833 0.202067i
\(253\) −1.17081 1.97506i −0.0736082 0.124171i
\(254\) 2.67152 7.04421i 0.167626 0.441993i
\(255\) 9.93959 8.21119i 0.622441 0.514205i
\(256\) −16.9170 1.56182i −1.05732 0.0976138i
\(257\) 5.45529 3.36247i 0.340292 0.209745i −0.343972 0.938980i \(-0.611772\pi\)
0.684263 + 0.729235i \(0.260124\pi\)
\(258\) −3.46490 1.20125i −0.215716 0.0747862i
\(259\) −3.55490 1.97140i −0.220891 0.122497i
\(260\) 0.254015 0.326154i 0.0157533 0.0202272i
\(261\) −9.76074 14.1409i −0.604175 0.875298i
\(262\) 0.562215 + 0.124923i 0.0347338 + 0.00771776i
\(263\) −12.1254 + 2.11407i −0.747687 + 0.130359i −0.532755 0.846270i \(-0.678843\pi\)
−0.214932 + 0.976629i \(0.568953\pi\)
\(264\) −1.70649 + 0.946351i −0.105027 + 0.0582439i
\(265\) 0.00894078 0.0570875i 0.000549228 0.00350686i
\(266\) 0.490316 + 0.414640i 0.0300632 + 0.0254232i
\(267\) −3.99827 0.555666i −0.244690 0.0340062i
\(268\) 8.18180 + 8.32427i 0.499783 + 0.508485i
\(269\) −26.2386 12.2659i −1.59979 0.747864i −0.601110 0.799167i \(-0.705274\pi\)
−0.998683 + 0.0513024i \(0.983663\pi\)
\(270\) 5.17811 + 12.3500i 0.315130 + 0.751600i
\(271\) 13.9811 27.0153i 0.849289 1.64106i 0.0848247 0.996396i \(-0.472967\pi\)
0.764464 0.644666i \(-0.223004\pi\)
\(272\) 0.706308 3.26741i 0.0428262 0.198116i
\(273\) −0.0723925 0.000833106i −0.00438140 5.04219e-5i
\(274\) −6.12466 + 0.0704837i −0.370004 + 0.00425807i
\(275\) 2.19735 10.1650i 0.132505 0.612975i
\(276\) −0.719734 + 1.39073i −0.0433229 + 0.0837119i
\(277\) 3.70555 + 8.83792i 0.222645 + 0.531019i 0.994495 0.104786i \(-0.0334157\pi\)
−0.771850 + 0.635805i \(0.780668\pi\)
\(278\) 0.877552 + 0.410234i 0.0526321 + 0.0246042i
\(279\) −5.26005 5.35164i −0.314911 0.320395i
\(280\) −13.0473 1.81327i −0.779727 0.108364i
\(281\) 2.98269 + 2.52233i 0.177932 + 0.150470i 0.730289 0.683138i \(-0.239385\pi\)
−0.552357 + 0.833607i \(0.686272\pi\)
\(282\) 1.01813 6.50083i 0.0606288 0.387119i
\(283\) 7.28671 4.04091i 0.433150 0.240207i −0.253296 0.967389i \(-0.581514\pi\)
0.686445 + 0.727182i \(0.259170\pi\)
\(284\) 2.49392 0.434815i 0.147987 0.0258015i
\(285\) 1.43258 + 0.318316i 0.0848586 + 0.0188554i
\(286\) −0.0545508 0.0790305i −0.00322566 0.00467317i
\(287\) −4.95196 + 6.35831i −0.292305 + 0.375319i
\(288\) −11.9326 6.61736i −0.703137 0.389932i
\(289\) −8.91079 3.08927i −0.524164 0.181722i
\(290\) −21.0549 + 12.9776i −1.23639 + 0.762069i
\(291\) −7.78562 0.718786i −0.456401 0.0421360i
\(292\) 12.0056 9.91793i 0.702574 0.580403i
\(293\) −8.79374 + 23.1872i −0.513736 + 1.35461i 0.387736 + 0.921771i \(0.373257\pi\)
−0.901471 + 0.432839i \(0.857512\pi\)
\(294\) −1.78626 3.01328i −0.104177 0.175738i
\(295\) −0.202631 + 2.34195i −0.0117976 + 0.136354i
\(296\) −8.35579 + 6.27897i −0.485671 + 0.364958i
\(297\) −3.67762 + 0.339526i −0.213397 + 0.0197013i
\(298\) 6.60921 6.57129i 0.382861 0.380665i
\(299\) −0.203429 0.0811940i −0.0117646 0.00469557i
\(300\) −6.67441 + 2.40033i −0.385347 + 0.138583i
\(301\) 6.54685 1.93722i 0.377354 0.111659i
\(302\) −4.99926 17.2594i −0.287675 0.993169i
\(303\) 0.964073 0.423926i 0.0553845 0.0243539i
\(304\) 0.342825 0.165096i 0.0196624 0.00946891i
\(305\) −0.943292 + 18.1994i −0.0540128 + 1.04210i
\(306\) 7.45647 10.2878i 0.426258 0.588116i
\(307\) 23.5501 + 22.3610i 1.34407 + 1.27621i 0.930764 + 0.365622i \(0.119144\pi\)
0.413309 + 0.910591i \(0.364373\pi\)
\(308\) 0.547937 1.15475i 0.0312216 0.0657981i
\(309\) −3.28166 + 0.689648i −0.186687 + 0.0392327i
\(310\) −8.08496 + 7.16265i −0.459195 + 0.406811i
\(311\) −2.08843 + 0.833549i −0.118424 + 0.0472662i −0.429149 0.903234i \(-0.641186\pi\)
0.310725 + 0.950500i \(0.399428\pi\)
\(312\) −0.0739497 + 0.170834i −0.00418658 + 0.00967156i
\(313\) 3.87912 + 2.71065i 0.219261 + 0.153215i 0.677275 0.735730i \(-0.263161\pi\)
−0.458014 + 0.888945i \(0.651439\pi\)
\(314\) −2.38061 2.91572i −0.134346 0.164544i
\(315\) −9.82254 6.05430i −0.553437 0.341121i
\(316\) 4.15571 + 3.12281i 0.233777 + 0.175672i
\(317\) −18.2329 + 20.3437i −1.02406 + 1.14262i −0.0343715 + 0.999409i \(0.510943\pi\)
−0.989693 + 0.143207i \(0.954259\pi\)
\(318\) 0.000894020 0.00911072i 5.01341e−5 0.000510904i
\(319\) −1.67048 6.61339i −0.0935287 0.370279i
\(320\) −13.0810 + 20.9519i −0.731252 + 1.17125i
\(321\) 0.162423 + 9.40864i 0.00906559 + 0.525139i
\(322\) 0.352004 + 2.43019i 0.0196164 + 0.135429i
\(323\) −0.969117 2.84819i −0.0539231 0.158478i
\(324\) −3.57054 4.69502i −0.198363 0.260835i
\(325\) −0.425314 0.896331i −0.0235922 0.0497195i
\(326\) 4.18142 12.7690i 0.231587 0.707210i
\(327\) 9.11533 2.35832i 0.504079 0.130415i
\(328\) 9.73550 + 18.2929i 0.537553 + 1.01006i
\(329\) 5.50499 + 10.9439i 0.303500 + 0.603356i
\(330\) 0.0990686 + 2.45836i 0.00545355 + 0.135328i
\(331\) −19.0960 + 22.3195i −1.04961 + 1.22679i −0.0763532 + 0.997081i \(0.524328\pi\)
−0.973259 + 0.229711i \(0.926222\pi\)
\(332\) 2.32315 + 1.54504i 0.127499 + 0.0847950i
\(333\) −8.91392 + 2.08858i −0.488480 + 0.114453i
\(334\) 0.0749971 2.60614i 0.00410366 0.142602i
\(335\) 39.8263 12.7885i 2.17594 0.698710i
\(336\) 0.477766 0.0552237i 0.0260643 0.00301270i
\(337\) −6.46839 + 18.3164i −0.352356 + 0.997758i 0.623969 + 0.781449i \(0.285519\pi\)
−0.976325 + 0.216309i \(0.930598\pi\)
\(338\) 11.8271 + 3.79777i 0.643311 + 0.206572i
\(339\) −0.491144 0.0973275i −0.0266753 0.00528610i
\(340\) 16.8985 + 13.6359i 0.916453 + 0.739513i
\(341\) −1.21476 2.71996i −0.0657828 0.147294i
\(342\) 1.44540 0.0499192i 0.0781581 0.00269932i
\(343\) 13.3231 + 5.85847i 0.719377 + 0.316328i
\(344\) 2.31644 17.4017i 0.124894 0.938235i
\(345\) 3.29334 + 4.54388i 0.177307 + 0.244634i
\(346\) −5.76530 + 3.73931i −0.309944 + 0.201027i
\(347\) −3.27885 5.25174i −0.176018 0.281928i 0.748447 0.663194i \(-0.230800\pi\)
−0.924465 + 0.381266i \(0.875488\pi\)
\(348\) −3.22266 + 3.35514i −0.172752 + 0.179854i
\(349\) −5.59327 17.7693i −0.299401 0.951169i −0.976544 0.215318i \(-0.930921\pi\)
0.677143 0.735852i \(-0.263218\pi\)
\(350\) −6.31829 + 9.15362i −0.337727 + 0.489281i
\(351\) −0.258275 + 0.239645i −0.0137857 + 0.0127913i
\(352\) −3.52140 4.11584i −0.187691 0.219375i
\(353\) 2.52028 + 20.7563i 0.134141 + 1.10475i 0.891906 + 0.452221i \(0.149368\pi\)
−0.757765 + 0.652527i \(0.773709\pi\)
\(354\) −0.0618537 0.367243i −0.00328749 0.0195187i
\(355\) 2.62419 8.68452i 0.139278 0.460926i
\(356\) −0.430018 6.78510i −0.0227909 0.359609i
\(357\) 0.0218800 3.80264i 0.00115801 0.201257i
\(358\) −19.0780 5.64519i −1.00830 0.298357i
\(359\) 19.4791 1.12203i 1.02807 0.0592185i 0.464735 0.885450i \(-0.346150\pi\)
0.563331 + 0.826231i \(0.309520\pi\)
\(360\) −24.5133 + 16.7129i −1.29196 + 0.880845i
\(361\) −10.2425 + 15.5947i −0.539080 + 0.820774i
\(362\) −0.568505 2.95801i −0.0298800 0.155470i
\(363\) 6.18852 + 1.67731i 0.324813 + 0.0880358i
\(364\) −0.0257630 0.119181i −0.00135035 0.00624676i
\(365\) −12.4183 54.4079i −0.650001 2.84784i
\(366\) −0.577507 2.82882i −0.0301868 0.147865i
\(367\) −10.4041 + 7.27018i −0.543091 + 0.379501i −0.811993 0.583667i \(-0.801617\pi\)
0.268903 + 0.963167i \(0.413339\pi\)
\(368\) 1.39994 + 0.396780i 0.0729767 + 0.0206836i
\(369\) 1.35645 + 18.1006i 0.0706142 + 0.942281i
\(370\) 2.33820 + 12.9695i 0.121557 + 0.674251i
\(371\) −0.0112282 0.0128219i −0.000582941 0.000665682i
\(372\) −1.13481 + 1.68521i −0.0588370 + 0.0873739i
\(373\) 14.1960 15.1242i 0.735041 0.783100i −0.247551 0.968875i \(-0.579626\pi\)
0.982592 + 0.185775i \(0.0594794\pi\)
\(374\) 4.19995 2.79323i 0.217174 0.144434i
\(375\) −1.55255 + 12.7864i −0.0801733 + 0.660287i
\(376\) 31.4657 1.44941i 1.62272 0.0747478i
\(377\) −0.511078 0.402782i −0.0263219 0.0207443i
\(378\) 3.77441 + 1.16425i 0.194135 + 0.0598827i
\(379\) 9.19522 1.17023i 0.472327 0.0601106i 0.113547 0.993533i \(-0.463779\pi\)
0.358780 + 0.933422i \(0.383193\pi\)
\(380\) −0.0426619 + 2.47126i −0.00218851 + 0.126773i
\(381\) −4.26065 2.76341i −0.218280 0.141574i
\(382\) −0.950889 18.3460i −0.0486517 0.938664i
\(383\) 10.3835 + 18.9805i 0.530570 + 0.969856i 0.996383 + 0.0849732i \(0.0270805\pi\)
−0.465813 + 0.884883i \(0.654238\pi\)
\(384\) −0.868541 + 2.75927i −0.0443226 + 0.140809i
\(385\) −2.81453 3.61385i −0.143442 0.184179i
\(386\) −0.799529 5.10505i −0.0406950 0.259840i
\(387\) 7.99305 13.1366i 0.406310 0.667772i
\(388\) −1.43675 13.0899i −0.0729401 0.664539i
\(389\) −24.4563 17.9411i −1.23998 0.909650i −0.241825 0.970320i \(-0.577746\pi\)
−0.998158 + 0.0606698i \(0.980676\pi\)
\(390\) 0.150525 + 0.180089i 0.00762214 + 0.00911918i
\(391\) 4.44855 10.6100i 0.224973 0.536571i
\(392\) 12.4228 11.2634i 0.627444 0.568888i
\(393\) 0.162379 0.352628i 0.00819095 0.0177877i
\(394\) 9.85742 13.9352i 0.496610 0.702043i
\(395\) 16.6901 8.27547i 0.839770 0.416384i
\(396\) −0.832686 2.75570i −0.0418440 0.138479i
\(397\) 8.25016 3.07469i 0.414064 0.154314i −0.133557 0.991041i \(-0.542640\pi\)
0.547621 + 0.836727i \(0.315534\pi\)
\(398\) 8.80370 8.95700i 0.441290 0.448974i
\(399\) 0.343021 0.263994i 0.0171725 0.0132162i
\(400\) 3.42589 + 5.63046i 0.171294 + 0.281523i
\(401\) 13.9154 11.7677i 0.694903 0.587650i −0.227547 0.973767i \(-0.573070\pi\)
0.922450 + 0.386117i \(0.126184\pi\)
\(402\) −5.60098 + 3.54185i −0.279352 + 0.176651i
\(403\) −0.250093 0.134952i −0.0124580 0.00672244i
\(404\) 1.02434 + 1.44809i 0.0509630 + 0.0720450i
\(405\) −20.7812 + 3.87012i −1.03263 + 0.192308i
\(406\) −1.04575 + 7.21974i −0.0518998 + 0.358310i
\(407\) −3.60541 0.458842i −0.178714 0.0227440i
\(408\) −8.90474 4.03854i −0.440850 0.199938i
\(409\) 5.13474 10.2078i 0.253897 0.504745i −0.730008 0.683439i \(-0.760484\pi\)
0.983905 + 0.178693i \(0.0571870\pi\)
\(410\) 26.1209 0.601288i 1.29002 0.0296955i
\(411\) −0.825858 + 4.04532i −0.0407366 + 0.199541i
\(412\) −2.24360 5.18302i −0.110534 0.255349i
\(413\) 0.491676 + 0.488855i 0.0241938 + 0.0240550i
\(414\) 4.26380 + 3.52237i 0.209554 + 0.173115i
\(415\) 8.68769 4.94941i 0.426462 0.242957i
\(416\) −0.505693 0.106272i −0.0247936 0.00521044i
\(417\) 0.395270 0.519755i 0.0193565 0.0254525i
\(418\) 0.544590 + 0.181811i 0.0266368 + 0.00889266i
\(419\) −8.62849 0.696564i −0.421529 0.0340294i −0.132118 0.991234i \(-0.542178\pi\)
−0.289412 + 0.957205i \(0.593460\pi\)
\(420\) −1.07412 + 2.93359i −0.0524115 + 0.143144i
\(421\) 2.11187 28.1809i 0.102926 1.37345i −0.671601 0.740913i \(-0.734393\pi\)
0.774527 0.632540i \(-0.217988\pi\)
\(422\) −21.6102 + 2.24618i −1.05197 + 0.109342i
\(423\) 25.7416 + 9.93228i 1.25160 + 0.482924i
\(424\) −0.0418759 + 0.0129170i −0.00203368 + 0.000627306i
\(425\) 47.4587 21.5239i 2.30209 1.04406i
\(426\) −0.0578745 + 1.43614i −0.00280403 + 0.0695813i
\(427\) 3.94028 + 3.65604i 0.190683 + 0.176928i
\(428\) −15.4713 + 3.43769i −0.747834 + 0.166167i
\(429\) −0.0598392 + 0.0246854i −0.00288906 + 0.00119182i
\(430\) −18.2885 12.4689i −0.881949 0.601303i
\(431\) −9.88445 5.93660i −0.476117 0.285956i 0.256565 0.966527i \(-0.417409\pi\)
−0.732682 + 0.680571i \(0.761732\pi\)
\(432\) 1.54198 1.76085i 0.0741888 0.0847189i
\(433\) −7.57694 28.6065i −0.364124 1.37474i −0.861744 0.507343i \(-0.830628\pi\)
0.497620 0.867395i \(-0.334208\pi\)
\(434\) 0.0916429 + 3.18458i 0.00439900 + 0.152865i
\(435\) 5.55166 + 15.7205i 0.266182 + 0.753741i
\(436\) 6.96252 + 14.2475i 0.333444 + 0.682333i
\(437\) 1.26395 0.342575i 0.0604630 0.0163876i
\(438\) 4.06369 + 7.85217i 0.194170 + 0.375191i
\(439\) 0.956017 1.14378i 0.0456282 0.0545898i −0.743976 0.668206i \(-0.767062\pi\)
0.789604 + 0.613616i \(0.210286\pi\)
\(440\) −11.4356 + 2.81862i −0.545170 + 0.134372i
\(441\) 13.9324 4.65133i 0.663449 0.221492i
\(442\) 0.154999 0.455536i 0.00737256 0.0216677i
\(443\) 34.8033 + 6.48149i 1.65355 + 0.307945i 0.925834 0.377929i \(-0.123364\pi\)
0.727720 + 0.685874i \(0.240580\pi\)
\(444\) 1.03680 + 2.25156i 0.0492046 + 0.106854i
\(445\) −22.4150 9.55014i −1.06257 0.452720i
\(446\) 7.36644 + 9.92131i 0.348811 + 0.469787i
\(447\) −3.38824 5.29044i −0.160258 0.250229i
\(448\) 2.26724 + 6.92359i 0.107117 + 0.327109i
\(449\) −17.7256 + 16.8307i −0.836524 + 0.794290i −0.980753 0.195255i \(-0.937447\pi\)
0.144228 + 0.989544i \(0.453930\pi\)
\(450\) 3.30551 + 24.8317i 0.155823 + 1.17058i
\(451\) −2.00477 + 6.92126i −0.0944007 + 0.325909i
\(452\) −0.00485208 0.843269i −0.000228223 0.0396640i
\(453\) −12.0835 + 0.835648i −0.567734 + 0.0392622i
\(454\) −6.75089 + 10.5409i −0.316835 + 0.494710i
\(455\) −0.423046 0.109450i −0.0198327 0.00513112i
\(456\) −0.260128 1.08214i −0.0121816 0.0506757i
\(457\) 16.9909 12.1663i 0.794801 0.569114i −0.110504 0.993876i \(-0.535246\pi\)
0.905305 + 0.424762i \(0.139642\pi\)
\(458\) 2.45580 + 28.3834i 0.114752 + 1.32627i
\(459\) −12.3514 13.7813i −0.576514 0.643255i
\(460\) −6.38877 + 6.96541i −0.297878 + 0.324764i
\(461\) −1.34466 + 12.2509i −0.0626273 + 0.570581i 0.920897 + 0.389806i \(0.127458\pi\)
−0.983524 + 0.180776i \(0.942139\pi\)
\(462\) 0.575091 + 0.442598i 0.0267556 + 0.0205915i
\(463\) 24.9112 3.46207i 1.15772 0.160896i 0.467162 0.884172i \(-0.345276\pi\)
0.690560 + 0.723276i \(0.257364\pi\)
\(464\) 3.65361 + 2.31040i 0.169615 + 0.107258i
\(465\) 3.56768 + 6.34697i 0.165447 + 0.294334i
\(466\) −11.5405 14.4713i −0.534604 0.670372i
\(467\) −10.8067 + 18.2300i −0.500073 + 0.843583i −0.999744 0.0226328i \(-0.992795\pi\)
0.499670 + 0.866216i \(0.333454\pi\)
\(468\) −0.223287 0.159884i −0.0103214 0.00739063i
\(469\) 4.63929 11.4321i 0.214223 0.527886i
\(470\) 16.1957 36.2638i 0.747052 1.67272i
\(471\) −2.26010 + 1.15322i −0.104140 + 0.0531374i
\(472\) 1.66325 0.641759i 0.0765574 0.0295393i
\(473\) 4.79449 3.77855i 0.220451 0.173738i
\(474\) −2.23150 + 1.93156i −0.102496 + 0.0887197i
\(475\) 5.25222 + 2.75658i 0.240988 + 0.126480i
\(476\) 6.28244 1.24496i 0.287955 0.0570626i
\(477\) −0.0381323 0.00440761i −0.00174596 0.000201810i
\(478\) −2.83683 + 5.80505i −0.129753 + 0.265517i
\(479\) 4.66675 24.2817i 0.213229 1.10946i −0.703726 0.710471i \(-0.748482\pi\)
0.916955 0.398990i \(-0.130639\pi\)
\(480\) 9.49531 + 9.22599i 0.433399 + 0.421107i
\(481\) −0.299268 + 0.175086i −0.0136454 + 0.00798324i
\(482\) 11.9384 16.0789i 0.543778 0.732373i
\(483\) 1.65128 + 0.114196i 0.0751360 + 0.00519610i
\(484\) −0.683031 + 10.7773i −0.0310468 + 0.489877i
\(485\) −44.2211 16.4804i −2.00798 0.748338i
\(486\) 12.3885 5.79130i 0.561952 0.262699i
\(487\) 24.6955 + 22.3908i 1.11906 + 1.01462i 0.999763 + 0.0217640i \(0.00692824\pi\)
0.119296 + 0.992859i \(0.461936\pi\)
\(488\) 12.7150 5.41736i 0.575582 0.245232i
\(489\) −7.81743 4.57357i −0.353516 0.206824i
\(490\) −5.64827 20.3746i −0.255163 0.920430i
\(491\) 12.1438 + 33.1669i 0.548044 + 1.49680i 0.841194 + 0.540734i \(0.181853\pi\)
−0.293150 + 0.956067i \(0.594703\pi\)
\(492\) 4.72824 1.34011i 0.213166 0.0604169i
\(493\) 21.6165 26.4754i 0.973558 1.19239i
\(494\) 0.0517496 0.0179410i 0.00232833 0.000807205i
\(495\) −10.1633 1.77198i −0.456808 0.0796445i
\(496\) 1.74519 + 0.719942i 0.0783613 + 0.0323263i
\(497\) −1.46900 2.23662i −0.0658938 0.100326i
\(498\) −1.13609 + 1.10387i −0.0509096 + 0.0494656i
\(499\) 0.773636 2.79068i 0.0346327 0.124928i −0.944313 0.329048i \(-0.893272\pi\)
0.978946 + 0.204120i \(0.0654333\pi\)
\(500\) −21.6230 + 1.74559i −0.967010 + 0.0780651i
\(501\) −1.70639 0.420588i −0.0762360 0.0187905i
\(502\) −5.19622 + 3.81194i −0.231919 + 0.170135i
\(503\) 27.1985 + 29.6534i 1.21272 + 1.32218i 0.932029 + 0.362384i \(0.118037\pi\)
0.280694 + 0.959797i \(0.409435\pi\)
\(504\) −0.854595 + 8.70895i −0.0380667 + 0.387928i
\(505\) 6.28567 0.947412i 0.279709 0.0421593i
\(506\) 1.09776 + 1.90138i 0.0488015 + 0.0845267i
\(507\) 4.18666 7.25150i 0.185936 0.322051i
\(508\) 3.12479 7.96184i 0.138640 0.353249i
\(509\) −7.16432 + 3.76013i −0.317553 + 0.166665i −0.615967 0.787772i \(-0.711235\pi\)
0.298414 + 0.954436i \(0.403542\pi\)
\(510\) −9.59433 + 7.74195i −0.424844 + 0.342819i
\(511\) −14.6621 7.48132i −0.648611 0.330954i
\(512\) 7.23090 + 0.751586i 0.319563 + 0.0332157i
\(513\) 0.373744 2.07307i 0.0165012 0.0915284i
\(514\) −5.25320 + 3.15507i −0.231709 + 0.139164i
\(515\) −20.2066 1.16394i −0.890408 0.0512892i
\(516\) −3.91774 1.40895i −0.172469 0.0620253i
\(517\) 8.19860 + 7.26332i 0.360574 + 0.319441i
\(518\) 3.37740 + 1.92412i 0.148395 + 0.0845410i
\(519\) 1.64256 + 4.33108i 0.0721005 + 0.190113i
\(520\) −0.700540 + 0.878449i −0.0307207 + 0.0385225i
\(521\) 2.33907 + 0.380137i 0.102477 + 0.0166541i 0.211433 0.977392i \(-0.432187\pi\)
−0.108957 + 0.994047i \(0.534751\pi\)
\(522\) 9.17735 + 13.6285i 0.401682 + 0.596505i
\(523\) −2.32426 + 8.77517i −0.101633 + 0.383711i −0.998253 0.0590899i \(-0.981180\pi\)
0.896620 + 0.442801i \(0.146015\pi\)
\(524\) 0.636606 + 0.149160i 0.0278103 + 0.00651609i
\(525\) 5.13106 + 5.46654i 0.223938 + 0.238580i
\(526\) 11.6173 1.88799i 0.506538 0.0823204i
\(527\) 7.31410 13.0119i 0.318607 0.566808i
\(528\) 0.378438 0.204208i 0.0164694 0.00888701i
\(529\) −16.1195 7.99255i −0.700848 0.347502i
\(530\) −0.00917712 + 0.0544871i −0.000398629 + 0.00236677i
\(531\) 1.55994 + 0.0718559i 0.0676957 + 0.00311828i
\(532\) 0.551200 + 0.477113i 0.0238976 + 0.0206855i
\(533\) 0.251140 + 0.639894i 0.0108781 + 0.0277169i
\(534\) 3.81692 + 0.575309i 0.165174 + 0.0248960i
\(535\) −13.9095 + 55.0675i −0.601361 + 2.38078i
\(536\) −21.9754 22.8788i −0.949194 0.988216i
\(537\) −6.43653 + 11.7657i −0.277757 + 0.507726i
\(538\) 24.9536 + 12.0170i 1.07583 + 0.518091i
\(539\) 5.82752 + 0.201263i 0.251009 + 0.00866903i
\(540\) 5.71695 + 14.0877i 0.246018 + 0.606237i
\(541\) −1.99387 + 8.29453i −0.0857230 + 0.356610i −0.998675 0.0514565i \(-0.983614\pi\)
0.912952 + 0.408066i \(0.133797\pi\)
\(542\) −13.6656 + 25.6775i −0.586987 + 1.10294i
\(543\) −2.02988 0.0467266i −0.0871104 0.00200523i
\(544\) 6.03965 26.4614i 0.258948 1.13452i
\(545\) 56.8261 + 0.653964i 2.43416 + 0.0280127i
\(546\) 0.0692290 0.00296273
\(547\) 23.3429 + 1.45202i 0.998071 + 0.0620837i
\(548\) −6.95376 −0.297050
\(549\) 12.1055 + 0.139312i 0.516651 + 0.00594571i
\(550\) −2.21290 + 9.69535i −0.0943584 + 0.413411i
\(551\) 3.88946 + 0.0895331i 0.165697 + 0.00381424i
\(552\) 1.99952 3.75708i 0.0851054 0.159912i
\(553\) 1.28425 5.34250i 0.0546117 0.227186i
\(554\) −3.44589 8.49135i −0.146402 0.360763i
\(555\) 8.87805 + 0.306619i 0.376852 + 0.0130152i
\(556\) 0.990856 + 0.477171i 0.0420217 + 0.0202366i
\(557\) −6.82282 + 12.4718i −0.289092 + 0.528446i −0.981114 0.193430i \(-0.938039\pi\)
0.692022 + 0.721876i \(0.256720\pi\)
\(558\) 4.97063 + 5.17498i 0.210424 + 0.219074i
\(559\) 0.142617 0.564620i 0.00603207 0.0238809i
\(560\) 2.87048 + 0.432655i 0.121300 + 0.0182830i
\(561\) −1.24217 3.16499i −0.0524444 0.133626i
\(562\) −2.82421 2.44461i −0.119132 0.103119i
\(563\) −29.8113 1.37320i −1.25640 0.0578736i −0.592421 0.805629i \(-0.701828\pi\)
−0.663974 + 0.747755i \(0.731132\pi\)
\(564\) 1.24073 7.36658i 0.0522443 0.310189i
\(565\) −2.70754 1.34248i −0.113907 0.0564786i
\(566\) −7.01182 + 3.78363i −0.294729 + 0.159038i
\(567\) −3.05508 + 5.43504i −0.128301 + 0.228250i
\(568\) −6.79135 + 1.10370i −0.284959 + 0.0463103i
\(569\) 14.5681 + 15.5206i 0.610727 + 0.650658i 0.957886 0.287148i \(-0.0927072\pi\)
−0.347159 + 0.937806i \(0.612854\pi\)
\(570\) −1.36629 0.320129i −0.0572276 0.0134087i
\(571\) 6.60135 24.9232i 0.276258 1.04300i −0.675800 0.737085i \(-0.736202\pi\)
0.952058 0.305917i \(-0.0989630\pi\)
\(572\) −0.0608948 0.0904298i −0.00254614 0.00378106i
\(573\) −12.2228 1.98641i −0.510617 0.0829833i
\(574\) 4.80490 6.02515i 0.200553 0.251485i
\(575\) 8.04348 + 21.2089i 0.335436 + 0.884473i
\(576\) 14.2572 + 8.12239i 0.594051 + 0.338433i
\(577\) 25.0720 + 22.2118i 1.04376 + 0.924691i 0.997241 0.0742260i \(-0.0236486\pi\)
0.0465194 + 0.998917i \(0.485187\pi\)
\(578\) 8.48627 + 3.05193i 0.352982 + 0.126944i
\(579\) −3.47737 0.200303i −0.144515 0.00832432i
\(580\) −24.0715 + 14.4573i −0.999515 + 0.600309i
\(581\) 0.523245 2.90233i 0.0217079 0.120409i
\(582\) 7.43649 + 0.772956i 0.308253 + 0.0320400i
\(583\) −0.0135737 0.00692598i −0.000562164 0.000286845i
\(584\) −32.9379 + 26.5786i −1.36298 + 1.09983i
\(585\) −0.871453 + 0.457374i −0.0360302 + 0.0189101i
\(586\) 8.66349 22.0742i 0.357885 0.911877i
\(587\) −16.0075 + 27.7258i −0.660699 + 1.14436i 0.319733 + 0.947508i \(0.396407\pi\)
−0.980432 + 0.196857i \(0.936927\pi\)
\(588\) −1.98844 3.44407i −0.0820017 0.142031i
\(589\) 1.68007 0.253230i 0.0692262 0.0104342i
\(590\) 0.219521 2.23708i 0.00903753 0.0920991i
\(591\) −7.77736 8.47934i −0.319918 0.348793i
\(592\) 1.85718 1.36243i 0.0763298 0.0559955i
\(593\) 0.230243 + 0.0567499i 0.00945496 + 0.00233044i 0.244040 0.969765i \(-0.421527\pi\)
−0.234585 + 0.972096i \(0.575373\pi\)
\(594\) 3.52018 0.284178i 0.144435 0.0116600i
\(595\) 6.13162 22.1181i 0.251372 0.906755i
\(596\) 7.58876 7.37352i 0.310848 0.302031i
\(597\) −4.64753 7.07608i −0.190211 0.289605i
\(598\) 0.193620 + 0.0798740i 0.00791772 + 0.00326629i
\(599\) −47.0862 8.20948i −1.92389 0.335430i −0.924894 0.380225i \(-0.875846\pi\)
−0.998996 + 0.0447950i \(0.985737\pi\)
\(600\) 18.2142 6.31467i 0.743592 0.257795i
\(601\) −14.6606 + 17.9560i −0.598020 + 0.732441i −0.981575 0.191077i \(-0.938802\pi\)
0.383555 + 0.923518i \(0.374699\pi\)
\(602\) −6.28124 + 1.78027i −0.256004 + 0.0725586i
\(603\) −9.55397 26.0935i −0.389068 1.06261i
\(604\) −5.44978 19.6586i −0.221748 0.799896i
\(605\) 33.4036 + 19.5427i 1.35805 + 0.794523i
\(606\) −0.926485 + 0.394738i −0.0376359 + 0.0160352i
\(607\) −18.3180 16.6084i −0.743503 0.674115i 0.209250 0.977862i \(-0.432898\pi\)
−0.952753 + 0.303747i \(0.901762\pi\)
\(608\) 2.79875 1.30835i 0.113504 0.0530605i
\(609\) 4.60784 + 1.71726i 0.186719 + 0.0695870i
\(610\) 1.10221 17.3914i 0.0446273 0.704159i
\(611\) 1.04242 + 0.0720897i 0.0421719 + 0.00291644i
\(612\) 8.59914 11.5815i 0.347600 0.468156i
\(613\) −14.5733 + 8.52607i −0.588610 + 0.344365i −0.769018 0.639227i \(-0.779254\pi\)
0.180408 + 0.983592i \(0.442258\pi\)
\(614\) −22.2719 21.6402i −0.898820 0.873326i
\(615\) 3.32407 17.2956i 0.134040 0.697426i
\(616\) −1.52525 + 3.12115i −0.0614541 + 0.125755i
\(617\) 21.5772 + 2.49405i 0.868664 + 0.100407i 0.537598 0.843201i \(-0.319332\pi\)
0.331066 + 0.943608i \(0.392592\pi\)
\(618\) 3.14542 0.623312i 0.126527 0.0250733i
\(619\) 35.1407 + 18.4432i 1.41242 + 0.741297i 0.986546 0.163484i \(-0.0522733\pi\)
0.425877 + 0.904781i \(0.359966\pi\)
\(620\) −9.27179 + 8.02557i −0.372364 + 0.322314i
\(621\) 6.32671 4.98610i 0.253882 0.200085i
\(622\) 2.00608 0.774036i 0.0804363 0.0310360i
\(623\) −6.40126 + 3.26625i −0.256461 + 0.130859i
\(624\) 0.0167286 0.0374570i 0.000669680 0.00149948i
\(625\) −10.1760 + 25.0757i −0.407041 + 1.00303i
\(626\) −3.67928 2.63454i −0.147054 0.105297i
\(627\) 0.197350 0.332913i 0.00788140 0.0132953i
\(628\) −2.66443 3.34109i −0.106322 0.133324i
\(629\) −8.92377 15.8756i −0.355814 0.633000i
\(630\) 9.32543 + 5.89704i 0.371534 + 0.234944i
\(631\) 45.1138 6.26976i 1.79595 0.249595i 0.839889 0.542758i \(-0.182620\pi\)
0.956063 + 0.293163i \(0.0947078\pi\)
\(632\) −11.1963 8.61687i −0.445367 0.342761i
\(633\) −1.59789 + 14.5579i −0.0635103 + 0.578626i
\(634\) 17.6577 19.2515i 0.701277 0.764574i
\(635\) −20.4576 22.8259i −0.811835 0.905818i
\(636\) 0.000895885 0.0103544i 3.55241e−5 0.000410577i
\(637\) 0.452274 0.323849i 0.0179197 0.0128314i
\(638\) 1.52449 + 6.34193i 0.0603552 + 0.251079i
\(639\) −5.83474 1.50956i −0.230819 0.0597174i
\(640\) −9.41653 + 14.7031i −0.372221 + 0.581190i
\(641\) −17.7754 + 1.22928i −0.702087 + 0.0485534i −0.415622 0.909537i \(-0.636436\pi\)
−0.286465 + 0.958091i \(0.592480\pi\)
\(642\) −0.0517740 8.99808i −0.00204336 0.355126i
\(643\) 0.847445 2.92572i 0.0334200 0.115379i −0.942074 0.335405i \(-0.891127\pi\)
0.975494 + 0.220026i \(0.0706141\pi\)
\(644\) 0.367853 + 2.76340i 0.0144955 + 0.108893i
\(645\) −10.8199 + 10.2737i −0.426035 + 0.404525i
\(646\) 0.895303 + 2.73403i 0.0352252 + 0.107569i
\(647\) 13.6117 + 21.2534i 0.535130 + 0.835559i 0.998725 0.0504888i \(-0.0160779\pi\)
−0.463595 + 0.886047i \(0.653441\pi\)
\(648\) 9.55684 + 12.8714i 0.375428 + 0.505636i
\(649\) 0.570317 + 0.242989i 0.0223869 + 0.00953817i
\(650\) 0.396811 + 0.861728i 0.0155642 + 0.0337997i
\(651\) 2.11124 + 0.393179i 0.0827458 + 0.0154099i
\(652\) 4.91365 14.4410i 0.192433 0.565554i
\(653\) −36.2440 + 12.1000i −1.41834 + 0.473510i −0.919467 0.393167i \(-0.871379\pi\)
−0.498869 + 0.866677i \(0.666251\pi\)
\(654\) −8.74179 + 2.15466i −0.341831 + 0.0842538i
\(655\) 1.50274 1.79789i 0.0587168 0.0702492i
\(656\) −2.09890 4.05566i −0.0819484 0.158347i
\(657\) −35.7823 + 9.69826i −1.39600 + 0.378365i
\(658\) −5.14330 10.5248i −0.200507 0.410300i
\(659\) −11.9121 33.7313i −0.464031 1.31399i −0.908385 0.418134i \(-0.862684\pi\)
0.444354 0.895851i \(-0.353433\pi\)
\(660\) 0.0803479 + 2.79208i 0.00312754 + 0.108681i
\(661\) 6.18289 + 23.3433i 0.240486 + 0.907948i 0.973678 + 0.227926i \(0.0731945\pi\)
−0.733192 + 0.680022i \(0.761970\pi\)
\(662\) 18.5047 21.1312i 0.719206 0.821288i
\(663\) −0.278058 0.167002i −0.0107989 0.00648581i
\(664\) −6.26533 4.27163i −0.243142 0.165771i
\(665\) 2.41514 0.996317i 0.0936552 0.0386355i
\(666\) 8.54623 1.89895i 0.331160 0.0735829i
\(667\) 10.9059 + 10.1192i 0.422279 + 0.391818i
\(668\) 0.119186 2.95756i 0.00461143 0.114432i
\(669\) 7.58589 3.44041i 0.293287 0.133014i
\(670\) −38.2215 + 11.7898i −1.47663 + 0.455479i
\(671\) 4.48379 + 1.73005i 0.173095 + 0.0667879i
\(672\) 3.88404 0.403711i 0.149830 0.0155735i
\(673\) 2.98708 39.8599i 0.115144 1.53649i −0.578210 0.815888i \(-0.696249\pi\)
0.693354 0.720597i \(-0.256132\pi\)
\(674\) 6.38645 17.4425i 0.245997 0.671859i
\(675\) 36.3685 + 2.93597i 1.39982 + 0.113006i
\(676\) 13.3768 + 4.46583i 0.514492 + 0.171763i
\(677\) 23.3678 30.7271i 0.898097 1.18094i −0.0847292 0.996404i \(-0.527003\pi\)
0.982826 0.184535i \(-0.0590781\pi\)
\(678\) 0.468548 + 0.0984664i 0.0179945 + 0.00378158i
\(679\) −12.0944 + 6.89025i −0.464142 + 0.264424i
\(680\) −45.4989 37.5871i −1.74480 1.44140i
\(681\) 5.98348 + 5.94915i 0.229288 + 0.227972i
\(682\) 1.13159 + 2.61412i 0.0433308 + 0.100100i
\(683\) 4.98762 24.4310i 0.190846 0.934825i −0.765690 0.643210i \(-0.777602\pi\)
0.956536 0.291615i \(-0.0941926\pi\)
\(684\) 1.64150 0.0377862i 0.0627642 0.00144479i
\(685\) −11.1985 + 22.2625i −0.427871 + 0.850606i
\(686\) −12.6747 5.74832i −0.483921 0.219472i
\(687\) 19.0504 + 2.42444i 0.726818 + 0.0924983i
\(688\) −0.554574 + 3.82871i −0.0211430 + 0.145968i
\(689\) −0.00142915 0.000266154i −5.44464e−5 1.01397e-5i
\(690\) −3.09900 4.38097i −0.117977 0.166781i
\(691\) −10.6381 5.74039i −0.404691 0.218375i 0.259813 0.965659i \(-0.416339\pi\)
−0.664505 + 0.747284i \(0.731357\pi\)
\(692\) −6.59374 + 4.16963i −0.250656 + 0.158505i
\(693\) −2.32349 + 1.96488i −0.0882621 + 0.0746395i
\(694\) 3.07736 + 5.05766i 0.116815 + 0.191986i
\(695\) 3.12336 2.40378i 0.118476 0.0911806i
\(696\) 8.86318 9.01751i 0.335958 0.341808i
\(697\) −33.8334 + 12.6091i −1.28153 + 0.477605i
\(698\) 5.15261 + 17.0521i 0.195029 + 0.645431i
\(699\) −11.1782 + 5.54250i −0.422799 + 0.209636i
\(700\) −7.29224 + 10.3088i −0.275621 + 0.389637i
\(701\) −4.77730 + 10.3745i −0.180436 + 0.391841i −0.977161 0.212502i \(-0.931839\pi\)
0.796724 + 0.604343i \(0.206564\pi\)
\(702\) 0.249593 0.226300i 0.00942028 0.00854113i
\(703\) 0.801550 1.91174i 0.0302310 0.0721025i
\(704\) 4.17747 + 4.99795i 0.157444 + 0.188367i
\(705\) −21.5860 15.8355i −0.812977 0.596399i
\(706\) −2.18142 19.8744i −0.0820989 0.747982i
\(707\) 0.974575 1.60172i 0.0366527 0.0602388i
\(708\) −0.0654198 0.417710i −0.00245863 0.0156985i
\(709\) −6.77812 8.70309i −0.254558 0.326852i 0.644564 0.764550i \(-0.277039\pi\)
−0.899122 + 0.437699i \(0.855794\pi\)
\(710\) −2.60474 + 8.27503i −0.0977543 + 0.310556i
\(711\) −5.93947 10.8571i −0.222748 0.407172i
\(712\) 0.956454 + 18.4534i 0.0358446 + 0.691570i
\(713\) 5.45108 + 3.53552i 0.204145 + 0.132406i
\(714\) −0.0627645 + 3.63574i −0.00234890 + 0.136064i
\(715\) −0.387577 + 0.0493249i −0.0144946 + 0.00184465i
\(716\) −21.5840 6.65777i −0.806631 0.248813i
\(717\) 3.42067 + 2.69584i 0.127747 + 0.100678i
\(718\) −18.6377 + 0.858512i −0.695553 + 0.0320394i
\(719\) 3.88567 32.0013i 0.144911 1.19345i −0.720886 0.693053i \(-0.756265\pi\)
0.865797 0.500395i \(-0.166812\pi\)
\(720\) 5.44406 3.62064i 0.202888 0.134933i
\(721\) −4.08564 + 4.35278i −0.152157 + 0.162106i
\(722\) 9.96523 14.7985i 0.370867 0.550744i
\(723\) −8.89340 10.1557i −0.330749 0.377695i
\(724\) −0.606735 3.36542i −0.0225491 0.125075i
\(725\) 5.03589 + 67.1993i 0.187028 + 2.49572i
\(726\) −5.89884 1.67189i −0.218927 0.0620498i
\(727\) 26.5956 18.5845i 0.986377 0.689260i 0.0356744 0.999363i \(-0.488642\pi\)
0.950703 + 0.310103i \(0.100364\pi\)
\(728\) 0.0662889 + 0.324704i 0.00245683 + 0.0120343i
\(729\) 1.57585 + 6.90423i 0.0583646 + 0.255712i
\(730\) 11.2753 + 52.1601i 0.417318 + 1.93053i
\(731\) 29.5232 + 8.00181i 1.09195 + 0.295958i
\(732\) −0.618642 3.21888i −0.0228656 0.118973i
\(733\) 17.8703 27.2084i 0.660056 1.00497i −0.337907 0.941179i \(-0.609719\pi\)
0.997964 0.0637864i \(-0.0203176\pi\)
\(734\) 10.0281 6.83707i 0.370145 0.252361i
\(735\) −14.2284 + 0.819584i −0.524823 + 0.0302308i
\(736\) 11.3287 + 3.35217i 0.417582 + 0.123563i
\(737\) 0.0634710 11.0310i 0.00233798 0.406330i
\(738\) −1.09783 17.3223i −0.0404117 0.637641i
\(739\) 5.80629 19.2154i 0.213588 0.706849i −0.782826 0.622240i \(-0.786223\pi\)
0.996414 0.0846090i \(-0.0269641\pi\)
\(740\) 2.48493 + 14.7538i 0.0913480 + 0.542359i
\(741\) −0.00445022 0.0366509i −0.000163483 0.00134640i
\(742\) 0.0105950 + 0.0123835i 0.000388956 + 0.000454614i
\(743\) −6.58872 + 6.11344i −0.241717 + 0.224280i −0.791723 0.610880i \(-0.790816\pi\)
0.550006 + 0.835160i \(0.314625\pi\)
\(744\) 3.13678 4.54441i 0.115000 0.166606i
\(745\) −11.3853 36.1699i −0.417124 1.32516i
\(746\) −13.7403 + 14.3051i −0.503067 + 0.523748i
\(747\) −3.51767 5.63425i −0.128705 0.206147i
\(748\) 4.80436 3.11606i 0.175665 0.113934i