Properties

Label 441.2.y.a.25.12
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.12
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.416291 + 1.82389i) q^{2} +(-0.611111 + 1.62066i) q^{3} +(-1.35134 - 0.650771i) q^{4} +(-0.0698517 - 0.177979i) q^{5} +(-2.70151 - 1.78927i) q^{6} +(2.35192 + 1.21181i) q^{7} +(-0.583357 + 0.731506i) q^{8} +(-2.25309 - 1.98081i) q^{9} +O(q^{10})\) \(q+(-0.416291 + 1.82389i) q^{2} +(-0.611111 + 1.62066i) q^{3} +(-1.35134 - 0.650771i) q^{4} +(-0.0698517 - 0.177979i) q^{5} +(-2.70151 - 1.78927i) q^{6} +(2.35192 + 1.21181i) q^{7} +(-0.583357 + 0.731506i) q^{8} +(-2.25309 - 1.98081i) q^{9} +(0.353693 - 0.0533107i) q^{10} +(-2.48424 + 0.766287i) q^{11} +(1.88050 - 1.79237i) q^{12} +(-4.36400 + 1.34611i) q^{13} +(-3.18928 + 3.78518i) q^{14} +(0.331131 - 0.00444095i) q^{15} +(-2.96165 - 3.71380i) q^{16} +(0.0993159 - 1.32528i) q^{17} +(4.55072 - 3.28479i) q^{18} +(1.53125 + 2.65221i) q^{19} +(-0.0214303 + 0.285968i) q^{20} +(-3.40121 + 3.07112i) q^{21} +(-0.363456 - 4.84998i) q^{22} +(-5.43849 + 3.70790i) q^{23} +(-0.829029 - 1.39246i) q^{24} +(3.63846 - 3.37600i) q^{25} +(-0.638473 - 8.51983i) q^{26} +(4.58710 - 2.44100i) q^{27} +(-2.38964 - 3.16812i) q^{28} +(-0.210245 + 2.80553i) q^{29} +(-0.129747 + 0.605796i) q^{30} +0.744296 q^{31} +(6.32052 - 3.04380i) q^{32} +(0.276255 - 4.49440i) q^{33} +(2.37582 + 0.732843i) q^{34} +(0.0513907 - 0.503240i) q^{35} +(1.75564 + 4.14299i) q^{36} +(1.54798 + 1.05540i) q^{37} +(-5.47478 + 1.68875i) q^{38} +(0.485289 - 7.89519i) q^{39} +(0.170941 + 0.0527284i) q^{40} +(-7.29056 - 1.09887i) q^{41} +(-4.18549 - 7.48191i) q^{42} +(12.8911 - 1.94301i) q^{43} +(3.85574 + 0.581159i) q^{44} +(-0.195161 + 0.539366i) q^{45} +(-4.49881 - 11.4628i) q^{46} +(-2.22904 + 9.76608i) q^{47} +(7.82871 - 2.53030i) q^{48} +(4.06305 + 5.70014i) q^{49} +(4.64279 + 8.04155i) q^{50} +(2.08713 + 0.970849i) q^{51} +(6.77326 + 1.02090i) q^{52} +(9.50425 - 6.47989i) q^{53} +(2.54255 + 9.38254i) q^{54} +(0.309912 + 0.388617i) q^{55} +(-2.25845 + 1.01353i) q^{56} +(-5.23410 + 0.860850i) q^{57} +(-5.02946 - 1.55138i) q^{58} +(5.40922 + 6.78295i) q^{59} +(-0.450361 - 0.209489i) q^{60} +(-11.3684 + 5.47472i) q^{61} +(-0.309844 + 1.35751i) q^{62} +(-2.89873 - 7.38900i) q^{63} +(0.806381 + 3.53298i) q^{64} +(0.544413 + 0.682673i) q^{65} +(8.08230 + 2.37484i) q^{66} -2.57652 q^{67} +(-0.996663 + 1.72627i) q^{68} +(-2.68573 - 11.0799i) q^{69} +(0.896461 + 0.303225i) q^{70} +(-6.29002 - 3.02911i) q^{71} +(2.76333 - 0.492630i) q^{72} +(-1.11902 - 0.345172i) q^{73} +(-2.56934 + 2.38400i) q^{74} +(3.24785 + 7.95982i) q^{75} +(-0.343263 - 4.58053i) q^{76} +(-6.77133 - 1.20817i) q^{77} +(14.1979 + 4.17181i) q^{78} -7.54810 q^{79} +(-0.454102 + 0.786528i) q^{80} +(1.15281 + 8.92586i) q^{81} +(5.03922 - 12.8397i) q^{82} +(8.82234 + 2.72133i) q^{83} +(6.59479 - 1.93672i) q^{84} +(-0.242809 + 0.0748968i) q^{85} +(-1.82259 + 24.3207i) q^{86} +(-4.41833 - 2.05523i) q^{87} +(0.888656 - 2.26426i) q^{88} +(-11.1817 + 10.3751i) q^{89} +(-0.902500 - 0.580485i) q^{90} +(-11.8950 - 2.12236i) q^{91} +(9.76225 - 1.47142i) q^{92} +(-0.454847 + 1.20625i) q^{93} +(-16.8843 - 8.13107i) q^{94} +(0.365077 - 0.457793i) q^{95} +(1.07044 + 12.1035i) q^{96} +(-5.58443 + 9.67251i) q^{97} +(-12.0878 + 5.03765i) q^{98} +(7.11508 + 3.19429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.416291 + 1.82389i −0.294362 + 1.28969i 0.584025 + 0.811736i \(0.301477\pi\)
−0.878387 + 0.477950i \(0.841380\pi\)
\(3\) −0.611111 + 1.62066i −0.352825 + 0.935689i
\(4\) −1.35134 0.650771i −0.675670 0.325386i
\(5\) −0.0698517 0.177979i −0.0312386 0.0795947i 0.914403 0.404804i \(-0.132660\pi\)
−0.945642 + 0.325210i \(0.894565\pi\)
\(6\) −2.70151 1.78927i −1.10289 0.730465i
\(7\) 2.35192 + 1.21181i 0.888942 + 0.458020i
\(8\) −0.583357 + 0.731506i −0.206248 + 0.258627i
\(9\) −2.25309 1.98081i −0.751029 0.660269i
\(10\) 0.353693 0.0533107i 0.111848 0.0168583i
\(11\) −2.48424 + 0.766287i −0.749027 + 0.231044i −0.645687 0.763602i \(-0.723429\pi\)
−0.103340 + 0.994646i \(0.532953\pi\)
\(12\) 1.88050 1.79237i 0.542853 0.517413i
\(13\) −4.36400 + 1.34611i −1.21036 + 0.373345i −0.833287 0.552840i \(-0.813544\pi\)
−0.377068 + 0.926186i \(0.623068\pi\)
\(14\) −3.18928 + 3.78518i −0.852372 + 1.01163i
\(15\) 0.331131 0.00444095i 0.0854977 0.00114665i
\(16\) −2.96165 3.71380i −0.740414 0.928449i
\(17\) 0.0993159 1.32528i 0.0240876 0.321427i −0.972124 0.234467i \(-0.924666\pi\)
0.996212 0.0869604i \(-0.0277154\pi\)
\(18\) 4.55072 3.28479i 1.07261 0.774233i
\(19\) 1.53125 + 2.65221i 0.351294 + 0.608458i 0.986476 0.163904i \(-0.0524086\pi\)
−0.635183 + 0.772362i \(0.719075\pi\)
\(20\) −0.0214303 + 0.285968i −0.00479197 + 0.0639444i
\(21\) −3.40121 + 3.07112i −0.742205 + 0.670173i
\(22\) −0.363456 4.84998i −0.0774891 1.03402i
\(23\) −5.43849 + 3.70790i −1.13400 + 0.773151i −0.976745 0.214406i \(-0.931218\pi\)
−0.157260 + 0.987557i \(0.550266\pi\)
\(24\) −0.829029 1.39246i −0.169225 0.284234i
\(25\) 3.63846 3.37600i 0.727692 0.675200i
\(26\) −0.638473 8.51983i −0.125215 1.67088i
\(27\) 4.58710 2.44100i 0.882789 0.469771i
\(28\) −2.38964 3.16812i −0.451599 0.598719i
\(29\) −0.210245 + 2.80553i −0.0390416 + 0.520974i 0.943060 + 0.332622i \(0.107933\pi\)
−0.982102 + 0.188352i \(0.939686\pi\)
\(30\) −0.129747 + 0.605796i −0.0236885 + 0.110603i
\(31\) 0.744296 0.133679 0.0668397 0.997764i \(-0.478708\pi\)
0.0668397 + 0.997764i \(0.478708\pi\)
\(32\) 6.32052 3.04380i 1.11732 0.538073i
\(33\) 0.276255 4.49440i 0.0480898 0.782375i
\(34\) 2.37582 + 0.732843i 0.407450 + 0.125682i
\(35\) 0.0513907 0.503240i 0.00868661 0.0850630i
\(36\) 1.75564 + 4.14299i 0.292606 + 0.690498i
\(37\) 1.54798 + 1.05540i 0.254487 + 0.173506i 0.683843 0.729629i \(-0.260307\pi\)
−0.429356 + 0.903135i \(0.641260\pi\)
\(38\) −5.47478 + 1.68875i −0.888127 + 0.273951i
\(39\) 0.485289 7.89519i 0.0777084 1.26424i
\(40\) 0.170941 + 0.0527284i 0.0270282 + 0.00833710i
\(41\) −7.29056 1.09887i −1.13859 0.171615i −0.447434 0.894317i \(-0.647662\pi\)
−0.691160 + 0.722702i \(0.742900\pi\)
\(42\) −4.18549 7.48191i −0.645835 1.15448i
\(43\) 12.8911 1.94301i 1.96587 0.296307i 0.966682 0.255981i \(-0.0823983\pi\)
0.999187 0.0403264i \(-0.0128398\pi\)
\(44\) 3.85574 + 0.581159i 0.581274 + 0.0876130i
\(45\) −0.195161 + 0.539366i −0.0290928 + 0.0804039i
\(46\) −4.49881 11.4628i −0.663313 1.69010i
\(47\) −2.22904 + 9.76608i −0.325140 + 1.42453i 0.503135 + 0.864208i \(0.332180\pi\)
−0.828275 + 0.560322i \(0.810677\pi\)
\(48\) 7.82871 2.53030i 1.12998 0.365217i
\(49\) 4.06305 + 5.70014i 0.580436 + 0.814306i
\(50\) 4.64279 + 8.04155i 0.656590 + 1.13725i
\(51\) 2.08713 + 0.970849i 0.292257 + 0.135946i
\(52\) 6.77326 + 1.02090i 0.939282 + 0.141574i
\(53\) 9.50425 6.47989i 1.30551 0.890081i 0.307402 0.951580i \(-0.400540\pi\)
0.998107 + 0.0614982i \(0.0195878\pi\)
\(54\) 2.54255 + 9.38254i 0.345997 + 1.27680i
\(55\) 0.309912 + 0.388617i 0.0417885 + 0.0524011i
\(56\) −2.25845 + 1.01353i −0.301798 + 0.135439i
\(57\) −5.23410 + 0.860850i −0.693273 + 0.114022i
\(58\) −5.02946 1.55138i −0.660400 0.203706i
\(59\) 5.40922 + 6.78295i 0.704220 + 0.883064i 0.997331 0.0730143i \(-0.0232619\pi\)
−0.293111 + 0.956079i \(0.594690\pi\)
\(60\) −0.450361 0.209489i −0.0581414 0.0270450i
\(61\) −11.3684 + 5.47472i −1.45557 + 0.700966i −0.983553 0.180622i \(-0.942189\pi\)
−0.472019 + 0.881589i \(0.656475\pi\)
\(62\) −0.309844 + 1.35751i −0.0393502 + 0.172404i
\(63\) −2.89873 7.38900i −0.365205 0.930927i
\(64\) 0.806381 + 3.53298i 0.100798 + 0.441623i
\(65\) 0.544413 + 0.682673i 0.0675262 + 0.0846751i
\(66\) 8.08230 + 2.37484i 0.994862 + 0.292322i
\(67\) −2.57652 −0.314772 −0.157386 0.987537i \(-0.550307\pi\)
−0.157386 + 0.987537i \(0.550307\pi\)
\(68\) −0.996663 + 1.72627i −0.120863 + 0.209341i
\(69\) −2.68573 11.0799i −0.323324 1.33386i
\(70\) 0.896461 + 0.303225i 0.107148 + 0.0362423i
\(71\) −6.29002 3.02911i −0.746488 0.359490i 0.0216571 0.999765i \(-0.493106\pi\)
−0.768145 + 0.640276i \(0.778820\pi\)
\(72\) 2.76333 0.492630i 0.325661 0.0580570i
\(73\) −1.11902 0.345172i −0.130971 0.0403993i 0.228577 0.973526i \(-0.426593\pi\)
−0.359548 + 0.933127i \(0.617069\pi\)
\(74\) −2.56934 + 2.38400i −0.298680 + 0.277134i
\(75\) 3.24785 + 7.95982i 0.375029 + 0.919121i
\(76\) −0.343263 4.58053i −0.0393750 0.525423i
\(77\) −6.77133 1.20817i −0.771665 0.137684i
\(78\) 14.1979 + 4.17181i 1.60760 + 0.472364i
\(79\) −7.54810 −0.849228 −0.424614 0.905375i \(-0.639590\pi\)
−0.424614 + 0.905375i \(0.639590\pi\)
\(80\) −0.454102 + 0.786528i −0.0507702 + 0.0879365i
\(81\) 1.15281 + 8.92586i 0.128090 + 0.991763i
\(82\) 5.03922 12.8397i 0.556489 1.41791i
\(83\) 8.82234 + 2.72133i 0.968378 + 0.298705i 0.738304 0.674468i \(-0.235627\pi\)
0.230074 + 0.973173i \(0.426103\pi\)
\(84\) 6.59479 1.93672i 0.719550 0.211313i
\(85\) −0.242809 + 0.0748968i −0.0263364 + 0.00812370i
\(86\) −1.82259 + 24.3207i −0.196535 + 2.62257i
\(87\) −4.41833 2.05523i −0.473695 0.220343i
\(88\) 0.888656 2.26426i 0.0947310 0.241371i
\(89\) −11.1817 + 10.3751i −1.18526 + 1.09976i −0.192294 + 0.981337i \(0.561593\pi\)
−0.992963 + 0.118421i \(0.962217\pi\)
\(90\) −0.902500 0.580485i −0.0951319 0.0611884i
\(91\) −11.8950 2.12236i −1.24694 0.222484i
\(92\) 9.76225 1.47142i 1.01779 0.153406i
\(93\) −0.454847 + 1.20625i −0.0471654 + 0.125082i
\(94\) −16.8843 8.13107i −1.74149 0.838655i
\(95\) 0.365077 0.457793i 0.0374561 0.0469685i
\(96\) 1.07044 + 12.1035i 0.109251 + 1.23531i
\(97\) −5.58443 + 9.67251i −0.567013 + 0.982095i 0.429847 + 0.902902i \(0.358568\pi\)
−0.996859 + 0.0791928i \(0.974766\pi\)
\(98\) −12.0878 + 5.03765i −1.22106 + 0.508879i
\(99\) 7.11508 + 3.19429i 0.715093 + 0.321039i
\(100\) −7.11380 + 2.19432i −0.711380 + 0.219432i
\(101\) 12.3056 + 1.85477i 1.22445 + 0.184557i 0.729267 0.684230i \(-0.239861\pi\)
0.495187 + 0.868786i \(0.335100\pi\)
\(102\) −2.63958 + 3.40255i −0.261357 + 0.336903i
\(103\) 0.644316 + 1.64169i 0.0634864 + 0.161761i 0.959097 0.283079i \(-0.0913559\pi\)
−0.895610 + 0.444840i \(0.853261\pi\)
\(104\) 1.56108 3.97756i 0.153076 0.390032i
\(105\) 0.784176 + 0.390822i 0.0765277 + 0.0381403i
\(106\) 7.86207 + 20.0322i 0.763632 + 1.94570i
\(107\) 1.07065 0.993422i 0.103504 0.0960377i −0.626724 0.779242i \(-0.715604\pi\)
0.730228 + 0.683204i \(0.239414\pi\)
\(108\) −7.78727 + 0.313466i −0.749331 + 0.0301633i
\(109\) 1.66695 + 1.54670i 0.159665 + 0.148147i 0.755960 0.654618i \(-0.227171\pi\)
−0.596295 + 0.802765i \(0.703361\pi\)
\(110\) −0.837809 + 0.403467i −0.0798819 + 0.0384691i
\(111\) −2.65643 + 1.86379i −0.252137 + 0.176903i
\(112\) −2.46517 12.3235i −0.232937 1.16446i
\(113\) −1.35826 + 1.26028i −0.127774 + 0.118557i −0.741472 0.670984i \(-0.765872\pi\)
0.613698 + 0.789541i \(0.289681\pi\)
\(114\) 0.608811 9.90478i 0.0570204 0.927668i
\(115\) 1.03982 + 0.708936i 0.0969635 + 0.0661086i
\(116\) 2.10987 3.65441i 0.195897 0.339303i
\(117\) 12.4989 + 5.61132i 1.15552 + 0.518767i
\(118\) −14.6232 + 7.04214i −1.34617 + 0.648282i
\(119\) 1.83956 2.99660i 0.168632 0.274698i
\(120\) −0.189919 + 0.244815i −0.0173372 + 0.0223485i
\(121\) −3.50436 + 2.38923i −0.318578 + 0.217203i
\(122\) −5.25274 23.0137i −0.475561 2.08357i
\(123\) 6.23624 11.1440i 0.562303 1.00482i
\(124\) −1.00580 0.484366i −0.0903232 0.0434974i
\(125\) −1.71632 0.826535i −0.153512 0.0739276i
\(126\) 14.6834 2.21098i 1.30811 0.196970i
\(127\) 6.86708 3.30701i 0.609355 0.293450i −0.103644 0.994614i \(-0.533050\pi\)
0.713000 + 0.701164i \(0.247336\pi\)
\(128\) 7.25103 0.640906
\(129\) −4.72890 + 22.0794i −0.416356 + 1.94399i
\(130\) −1.47175 + 0.708760i −0.129081 + 0.0621623i
\(131\) 4.24522 0.639864i 0.370906 0.0559051i 0.0390556 0.999237i \(-0.487565\pi\)
0.331851 + 0.943332i \(0.392327\pi\)
\(132\) −3.29814 + 5.89369i −0.287066 + 0.512980i
\(133\) 0.387423 + 8.09336i 0.0335938 + 0.701783i
\(134\) 1.07258 4.69929i 0.0926571 0.405957i
\(135\) −0.754864 0.645901i −0.0649684 0.0555903i
\(136\) 0.911513 + 0.845761i 0.0781616 + 0.0725234i
\(137\) 2.22350 5.66538i 0.189966 0.484026i −0.803881 0.594791i \(-0.797235\pi\)
0.993847 + 0.110765i \(0.0353301\pi\)
\(138\) 21.3266 0.286020i 1.81544 0.0243477i
\(139\) 8.92138 + 1.34468i 0.756702 + 0.114054i 0.516052 0.856558i \(-0.327401\pi\)
0.240650 + 0.970612i \(0.422639\pi\)
\(140\) −0.396940 + 0.646605i −0.0335476 + 0.0546481i
\(141\) −14.4653 9.58068i −1.21820 0.806839i
\(142\) 8.14325 10.2113i 0.683366 0.856914i
\(143\) 9.80972 6.68815i 0.820330 0.559291i
\(144\) −0.683450 + 14.2340i −0.0569541 + 1.18616i
\(145\) 0.514012 0.158552i 0.0426864 0.0131670i
\(146\) 1.09539 1.89728i 0.0906554 0.157020i
\(147\) −11.7210 + 3.10142i −0.966730 + 0.255801i
\(148\) −1.40503 2.43358i −0.115493 0.200039i
\(149\) 7.73426 + 7.17634i 0.633615 + 0.587909i 0.930180 0.367104i \(-0.119651\pi\)
−0.296565 + 0.955013i \(0.595841\pi\)
\(150\) −15.8699 + 2.61012i −1.29577 + 0.213115i
\(151\) 1.23456 + 16.4741i 0.100467 + 1.34064i 0.788532 + 0.614993i \(0.210841\pi\)
−0.688065 + 0.725649i \(0.741540\pi\)
\(152\) −2.83337 0.427062i −0.229817 0.0346393i
\(153\) −2.84889 + 2.78924i −0.230319 + 0.225497i
\(154\) 5.02242 11.8472i 0.404718 0.954676i
\(155\) −0.0519903 0.132469i −0.00417596 0.0106402i
\(156\) −5.79375 + 10.3533i −0.463871 + 0.828925i
\(157\) 9.41374 + 11.8045i 0.751298 + 0.942098i 0.999647 0.0265723i \(-0.00845923\pi\)
−0.248348 + 0.968671i \(0.579888\pi\)
\(158\) 3.14221 13.7669i 0.249981 1.09524i
\(159\) 4.69356 + 19.3631i 0.372223 + 1.53559i
\(160\) −0.983233 0.912307i −0.0777314 0.0721242i
\(161\) −17.2842 + 2.13029i −1.36218 + 0.167890i
\(162\) −16.7597 1.61317i −1.31677 0.126742i
\(163\) 5.49098 13.9908i 0.430086 1.09584i −0.537491 0.843269i \(-0.680628\pi\)
0.967578 0.252573i \(-0.0812768\pi\)
\(164\) 9.13691 + 6.22944i 0.713473 + 0.486437i
\(165\) −0.819207 + 0.264774i −0.0637752 + 0.0206126i
\(166\) −8.63607 + 14.9581i −0.670289 + 1.16098i
\(167\) −8.80767 6.00497i −0.681558 0.464678i 0.172396 0.985028i \(-0.444849\pi\)
−0.853953 + 0.520350i \(0.825802\pi\)
\(168\) −0.262423 4.27957i −0.0202464 0.330176i
\(169\) 6.49135 4.42572i 0.499334 0.340440i
\(170\) −0.0355241 0.474037i −0.00272458 0.0363570i
\(171\) 1.80347 9.00877i 0.137914 0.688918i
\(172\) −18.6847 5.76346i −1.42469 0.439460i
\(173\) 2.48234 + 1.19543i 0.188729 + 0.0908869i 0.525862 0.850570i \(-0.323743\pi\)
−0.337133 + 0.941457i \(0.609457\pi\)
\(174\) 5.58782 7.20298i 0.423612 0.546057i
\(175\) 12.6484 3.53097i 0.956131 0.266916i
\(176\) 10.2033 + 6.95649i 0.769103 + 0.524366i
\(177\) −14.2985 + 4.62138i −1.07474 + 0.347364i
\(178\) −14.2682 24.7133i −1.06945 1.85234i
\(179\) 1.35293 18.0536i 0.101123 1.34939i −0.683743 0.729723i \(-0.739649\pi\)
0.784865 0.619666i \(-0.212732\pi\)
\(180\) 0.614732 0.601862i 0.0458194 0.0448601i
\(181\) 1.40483 + 6.15496i 0.104420 + 0.457494i 0.999923 + 0.0124379i \(0.00395922\pi\)
−0.895503 + 0.445056i \(0.853184\pi\)
\(182\) 8.82274 20.8117i 0.653985 1.54266i
\(183\) −1.92533 21.7699i −0.142325 1.60928i
\(184\) 0.460229 6.14132i 0.0339285 0.452744i
\(185\) 0.0797095 0.349230i 0.00586036 0.0256759i
\(186\) −2.01072 1.33174i −0.147433 0.0976481i
\(187\) 0.768819 + 3.36842i 0.0562216 + 0.246323i
\(188\) 9.36768 11.7467i 0.683209 0.856716i
\(189\) 13.7465 0.182356i 0.999912 0.0132645i
\(190\) 0.682985 + 0.856436i 0.0495489 + 0.0621324i
\(191\) 3.51616 4.40912i 0.254420 0.319033i −0.638175 0.769891i \(-0.720311\pi\)
0.892596 + 0.450858i \(0.148882\pi\)
\(192\) −6.21856 0.852175i −0.448786 0.0615004i
\(193\) −3.78927 + 4.75159i −0.272758 + 0.342027i −0.899278 0.437378i \(-0.855907\pi\)
0.626520 + 0.779405i \(0.284479\pi\)
\(194\) −15.3169 14.2120i −1.09969 1.02036i
\(195\) −1.43908 + 0.465121i −0.103055 + 0.0333080i
\(196\) −1.78108 10.3469i −0.127220 0.739068i
\(197\) 9.98311 0.711267 0.355633 0.934626i \(-0.384265\pi\)
0.355633 + 0.934626i \(0.384265\pi\)
\(198\) −8.78799 + 11.6474i −0.624535 + 0.827743i
\(199\) 3.53231 + 9.00018i 0.250399 + 0.638006i 0.999707 0.0242160i \(-0.00770893\pi\)
−0.749308 + 0.662222i \(0.769614\pi\)
\(200\) 0.347043 + 4.63097i 0.0245397 + 0.327459i
\(201\) 1.57454 4.17567i 0.111059 0.294529i
\(202\) −8.50562 + 21.6720i −0.598453 + 1.52483i
\(203\) −3.89424 + 6.34361i −0.273322 + 0.445234i
\(204\) −2.18863 2.67020i −0.153235 0.186951i
\(205\) 0.313681 + 1.37433i 0.0219084 + 0.0959871i
\(206\) −3.26249 + 0.491741i −0.227308 + 0.0342612i
\(207\) 19.5980 + 2.41838i 1.36216 + 0.168089i
\(208\) 17.9239 + 12.2203i 1.24280 + 0.847324i
\(209\) −5.83636 5.41535i −0.403709 0.374587i
\(210\) −1.03926 + 1.26755i −0.0717159 + 0.0874696i
\(211\) 14.2576 13.2291i 0.981531 0.910727i −0.0144861 0.999895i \(-0.504611\pi\)
0.996017 + 0.0891678i \(0.0284207\pi\)
\(212\) −17.0604 + 2.57144i −1.17171 + 0.176607i
\(213\) 8.75307 8.34287i 0.599750 0.571644i
\(214\) 1.36619 + 2.36631i 0.0933907 + 0.161758i
\(215\) −1.24628 2.15862i −0.0849955 0.147217i
\(216\) −0.890312 + 4.77947i −0.0605780 + 0.325202i
\(217\) 1.75052 + 0.901942i 0.118833 + 0.0612278i
\(218\) −3.51495 + 2.39645i −0.238062 + 0.162308i
\(219\) 1.24325 1.60261i 0.0840111 0.108295i
\(220\) −0.165896 0.726836i −0.0111847 0.0490033i
\(221\) 1.35056 + 5.91720i 0.0908487 + 0.398034i
\(222\) −2.29350 5.62092i −0.153930 0.377251i
\(223\) −13.5656 + 9.24888i −0.908421 + 0.619351i −0.924775 0.380516i \(-0.875747\pi\)
0.0163539 + 0.999866i \(0.494794\pi\)
\(224\) 18.5539 + 0.500465i 1.23968 + 0.0334387i
\(225\) −14.8850 + 0.399330i −0.992332 + 0.0266220i
\(226\) −1.73318 3.00196i −0.115289 0.199687i
\(227\) −14.1415 24.4939i −0.938607 1.62572i −0.768072 0.640363i \(-0.778784\pi\)
−0.170535 0.985352i \(-0.554550\pi\)
\(228\) 7.63326 + 2.24290i 0.505525 + 0.148540i
\(229\) −10.1464 + 1.52933i −0.670496 + 0.101061i −0.475463 0.879736i \(-0.657719\pi\)
−0.195033 + 0.980797i \(0.562481\pi\)
\(230\) −1.72589 + 1.60139i −0.113802 + 0.105593i
\(231\) 6.09607 10.2357i 0.401092 0.673460i
\(232\) −1.92962 1.79042i −0.126685 0.117547i
\(233\) 14.7177 + 10.0344i 0.964190 + 0.657373i 0.939582 0.342324i \(-0.111214\pi\)
0.0246076 + 0.999697i \(0.492166\pi\)
\(234\) −15.4376 + 20.4606i −1.00919 + 1.33755i
\(235\) 1.89386 0.285454i 0.123542 0.0186210i
\(236\) −2.89555 12.6862i −0.188484 0.825803i
\(237\) 4.61273 12.2329i 0.299629 0.794613i
\(238\) 4.69967 + 4.60262i 0.304634 + 0.298343i
\(239\) 6.44801 16.4293i 0.417087 1.06272i −0.555775 0.831333i \(-0.687578\pi\)
0.972862 0.231387i \(-0.0743265\pi\)
\(240\) −0.997189 1.21660i −0.0643683 0.0785313i
\(241\) −1.55540 20.7554i −0.100192 1.33697i −0.790058 0.613033i \(-0.789949\pi\)
0.689866 0.723937i \(-0.257670\pi\)
\(242\) −2.89887 7.38619i −0.186346 0.474802i
\(243\) −15.1703 3.58638i −0.973175 0.230067i
\(244\) 18.9253 1.21157
\(245\) 0.730696 1.12130i 0.0466824 0.0716375i
\(246\) 17.7293 + 16.0134i 1.13038 + 1.02097i
\(247\) −10.2526 9.51299i −0.652355 0.605297i
\(248\) −0.434190 + 0.544457i −0.0275711 + 0.0345731i
\(249\) −9.80178 + 12.6350i −0.621163 + 0.800710i
\(250\) 2.22200 2.78630i 0.140532 0.176221i
\(251\) 5.20253 + 6.52376i 0.328381 + 0.411776i 0.918425 0.395594i \(-0.129461\pi\)
−0.590045 + 0.807371i \(0.700890\pi\)
\(252\) −0.891384 + 11.8715i −0.0561519 + 0.747832i
\(253\) 10.6692 13.3788i 0.670768 0.841116i
\(254\) 3.17292 + 13.9015i 0.199087 + 0.872257i
\(255\) 0.0270011 0.439282i 0.00169087 0.0275089i
\(256\) −4.63130 + 20.2911i −0.289456 + 1.26819i
\(257\) 0.745531 9.94842i 0.0465050 0.620566i −0.924450 0.381303i \(-0.875475\pi\)
0.970955 0.239262i \(-0.0769056\pi\)
\(258\) −38.3019 17.8165i −2.38457 1.10920i
\(259\) 2.36180 + 4.35806i 0.146755 + 0.270797i
\(260\) −0.291424 1.27681i −0.0180733 0.0791845i
\(261\) 6.03092 5.90465i 0.373304 0.365489i
\(262\) −0.600205 + 8.00918i −0.0370808 + 0.494809i
\(263\) 11.6697 + 20.2124i 0.719582 + 1.24635i 0.961166 + 0.275972i \(0.0889999\pi\)
−0.241584 + 0.970380i \(0.577667\pi\)
\(264\) 3.12653 + 2.82392i 0.192425 + 0.173800i
\(265\) −1.81717 1.23893i −0.111628 0.0761068i
\(266\) −14.9227 2.66258i −0.914969 0.163253i
\(267\) −9.98127 24.4621i −0.610844 1.49705i
\(268\) 3.48176 + 1.67673i 0.212682 + 0.102422i
\(269\) −7.09749 2.18928i −0.432741 0.133483i 0.0707289 0.997496i \(-0.477467\pi\)
−0.503470 + 0.864013i \(0.667944\pi\)
\(270\) 1.49230 1.10791i 0.0908183 0.0674251i
\(271\) −1.37940 18.4068i −0.0837923 1.11813i −0.867645 0.497184i \(-0.834367\pi\)
0.783853 0.620947i \(-0.213252\pi\)
\(272\) −5.21596 + 3.55618i −0.316264 + 0.215625i
\(273\) 10.7088 17.9808i 0.648126 1.08825i
\(274\) 9.40740 + 6.41386i 0.568322 + 0.387475i
\(275\) −6.45184 + 11.1749i −0.389060 + 0.673872i
\(276\) −3.58114 + 16.7205i −0.215559 + 1.00646i
\(277\) −12.0382 8.20749i −0.723304 0.493140i 0.144838 0.989455i \(-0.453734\pi\)
−0.868143 + 0.496315i \(0.834686\pi\)
\(278\) −6.16644 + 15.7118i −0.369839 + 0.942334i
\(279\) −1.67696 1.47431i −0.100397 0.0882644i
\(280\) 0.338144 + 0.331161i 0.0202080 + 0.0197907i
\(281\) −5.15982 4.78761i −0.307809 0.285605i 0.511108 0.859516i \(-0.329235\pi\)
−0.818918 + 0.573911i \(0.805426\pi\)
\(282\) 23.4959 22.3948i 1.39916 1.33359i
\(283\) 1.74607 7.65002i 0.103793 0.454746i −0.896147 0.443758i \(-0.853645\pi\)
0.999940 0.0109886i \(-0.00349784\pi\)
\(284\) 6.52870 + 8.18673i 0.387407 + 0.485793i
\(285\) 0.518824 + 0.871429i 0.0307325 + 0.0516190i
\(286\) 8.11476 + 20.6761i 0.479836 + 1.22260i
\(287\) −15.8152 11.4192i −0.933541 0.674054i
\(288\) −20.2699 5.66178i −1.19441 0.333624i
\(289\) 15.0636 + 2.27048i 0.886096 + 0.133557i
\(290\) 0.0752024 + 1.00351i 0.00441603 + 0.0589279i
\(291\) −12.2632 14.9614i −0.718879 0.877055i
\(292\) 1.28755 + 1.19467i 0.0753480 + 0.0699128i
\(293\) 5.02929 + 8.71099i 0.293814 + 0.508902i 0.974708 0.223480i \(-0.0717419\pi\)
−0.680894 + 0.732382i \(0.738409\pi\)
\(294\) −0.777308 22.6689i −0.0453335 1.32207i
\(295\) 0.829380 1.43653i 0.0482884 0.0836379i
\(296\) −1.67506 + 0.516686i −0.0973607 + 0.0300318i
\(297\) −9.52497 + 9.57907i −0.552695 + 0.555834i
\(298\) −16.3086 + 11.1190i −0.944730 + 0.644106i
\(299\) 18.7423 23.5021i 1.08390 1.35916i
\(300\) 0.791075 12.8700i 0.0456727 0.743052i
\(301\) 32.6733 + 11.0516i 1.88326 + 0.637006i
\(302\) −30.5609 4.60631i −1.75858 0.265063i
\(303\) −10.5260 + 18.8098i −0.604705 + 1.08059i
\(304\) 5.31472 13.5417i 0.304820 0.776669i
\(305\) 1.76849 + 1.64092i 0.101263 + 0.0939586i
\(306\) −3.90131 6.35720i −0.223023 0.363417i
\(307\) −7.07760 + 31.0090i −0.403940 + 1.76978i 0.207246 + 0.978289i \(0.433550\pi\)
−0.611186 + 0.791487i \(0.709307\pi\)
\(308\) 8.36413 + 6.03924i 0.476590 + 0.344118i
\(309\) −3.05437 + 0.0409636i −0.173757 + 0.00233034i
\(310\) 0.263252 0.0396789i 0.0149517 0.00225361i
\(311\) 13.8313 6.66080i 0.784301 0.377699i 0.00152137 0.999999i \(-0.499516\pi\)
0.782779 + 0.622300i \(0.213801\pi\)
\(312\) 5.49228 + 4.96070i 0.310939 + 0.280845i
\(313\) −1.34168 −0.0758364 −0.0379182 0.999281i \(-0.512073\pi\)
−0.0379182 + 0.999281i \(0.512073\pi\)
\(314\) −25.4489 + 12.2555i −1.43616 + 0.691620i
\(315\) −1.11261 + 1.03205i −0.0626884 + 0.0581493i
\(316\) 10.2001 + 4.91209i 0.573798 + 0.276327i
\(317\) −6.55184 3.15520i −0.367988 0.177214i 0.240746 0.970588i \(-0.422608\pi\)
−0.608734 + 0.793375i \(0.708322\pi\)
\(318\) −37.2701 + 0.499846i −2.09000 + 0.0280300i
\(319\) −1.62754 7.13073i −0.0911249 0.399244i
\(320\) 0.572471 0.390304i 0.0320021 0.0218187i
\(321\) 0.955712 + 2.34226i 0.0533427 + 0.130732i
\(322\) 3.30983 32.4112i 0.184449 1.80621i
\(323\) 3.66699 1.76593i 0.204037 0.0982590i
\(324\) 4.25086 12.8121i 0.236159 0.711783i
\(325\) −11.3338 + 19.6306i −0.628684 + 1.08891i
\(326\) 23.2318 + 15.8392i 1.28669 + 0.877251i
\(327\) −3.52537 + 1.75635i −0.194953 + 0.0971265i
\(328\) 5.05683 4.69205i 0.279217 0.259075i
\(329\) −17.0771 + 20.2679i −0.941493 + 1.11740i
\(330\) −0.141890 1.60437i −0.00781080 0.0883175i
\(331\) −26.4781 + 12.7512i −1.45537 + 0.700869i −0.983518 0.180808i \(-0.942129\pi\)
−0.471852 + 0.881678i \(0.656414\pi\)
\(332\) −10.1510 9.41877i −0.557110 0.516922i
\(333\) −1.39720 5.44416i −0.0765663 0.298338i
\(334\) 14.6190 13.5644i 0.799914 0.742211i
\(335\) 0.179974 + 0.458567i 0.00983305 + 0.0250542i
\(336\) 21.4787 + 3.53581i 1.17176 + 0.192895i
\(337\) −7.35803 + 18.7480i −0.400817 + 1.02127i 0.577910 + 0.816101i \(0.303869\pi\)
−0.978727 + 0.205166i \(0.934227\pi\)
\(338\) 5.36975 + 13.6819i 0.292076 + 0.744197i
\(339\) −1.21244 2.97145i −0.0658507 0.161387i
\(340\) 0.376859 + 0.0568023i 0.0204380 + 0.00308054i
\(341\) −1.84901 + 0.570344i −0.100130 + 0.0308859i
\(342\) 15.6802 + 7.03960i 0.847891 + 0.380658i
\(343\) 2.64851 + 18.3299i 0.143006 + 0.989722i
\(344\) −6.09876 + 10.5634i −0.328823 + 0.569538i
\(345\) −1.78439 + 1.25195i −0.0960683 + 0.0674030i
\(346\) −3.21371 + 4.02987i −0.172770 + 0.216647i
\(347\) 18.8068 + 9.05690i 1.00960 + 0.486200i 0.864187 0.503171i \(-0.167833\pi\)
0.145417 + 0.989370i \(0.453548\pi\)
\(348\) 4.63319 + 5.65264i 0.248365 + 0.303013i
\(349\) −16.8932 + 2.54624i −0.904272 + 0.136297i −0.584686 0.811260i \(-0.698782\pi\)
−0.319587 + 0.947557i \(0.603544\pi\)
\(350\) 1.17468 + 24.5393i 0.0627890 + 1.31168i
\(351\) −16.7322 + 16.8273i −0.893101 + 0.898174i
\(352\) −13.3693 + 12.4049i −0.712585 + 0.661182i
\(353\) −1.91597 + 4.88181i −0.101977 + 0.259833i −0.972752 0.231849i \(-0.925522\pi\)
0.870775 + 0.491682i \(0.163618\pi\)
\(354\) −2.47656 28.0027i −0.131628 1.48833i
\(355\) −0.0997508 + 1.33108i −0.00529422 + 0.0706465i
\(356\) 21.8621 6.74356i 1.15869 0.357408i
\(357\) 3.73229 + 4.81256i 0.197534 + 0.254708i
\(358\) 32.3646 + 9.98315i 1.71052 + 0.527626i
\(359\) 12.0988 30.8271i 0.638548 1.62699i −0.133217 0.991087i \(-0.542531\pi\)
0.771765 0.635907i \(-0.219374\pi\)
\(360\) −0.280701 0.457404i −0.0147942 0.0241073i
\(361\) 4.81053 8.33208i 0.253186 0.438531i
\(362\) −11.8108 −0.620761
\(363\) −1.73059 7.13947i −0.0908322 0.374725i
\(364\) 14.6930 + 10.6090i 0.770124 + 0.556061i
\(365\) 0.0167320 + 0.223273i 0.000875793 + 0.0116866i
\(366\) 40.5075 + 5.55104i 2.11736 + 0.290157i
\(367\) 15.7669 14.6296i 0.823027 0.763657i −0.151374 0.988477i \(-0.548370\pi\)
0.974401 + 0.224819i \(0.0721791\pi\)
\(368\) 29.8773 + 9.21594i 1.55746 + 0.480414i
\(369\) 14.2496 + 16.9170i 0.741805 + 0.880666i
\(370\) 0.603775 + 0.290763i 0.0313888 + 0.0151160i
\(371\) 30.2056 3.72287i 1.56820 0.193282i
\(372\) 1.39965 1.33405i 0.0725683 0.0691675i
\(373\) 16.4082 28.4198i 0.849584 1.47152i −0.0319952 0.999488i \(-0.510186\pi\)
0.881580 0.472035i \(-0.156481\pi\)
\(374\) −6.46368 −0.334229
\(375\) 2.38839 2.27647i 0.123336 0.117556i
\(376\) −5.84362 7.32767i −0.301362 0.377896i
\(377\) −2.85906 12.5263i −0.147249 0.645140i
\(378\) −5.38996 + 25.1481i −0.277229 + 1.29348i
\(379\) −6.95103 + 30.4545i −0.357051 + 1.56434i 0.403449 + 0.915002i \(0.367811\pi\)
−0.760499 + 0.649339i \(0.775046\pi\)
\(380\) −0.791262 + 0.381052i −0.0405909 + 0.0195475i
\(381\) 1.16300 + 13.1502i 0.0595823 + 0.673704i
\(382\) 6.57801 + 8.24856i 0.336560 + 0.422033i
\(383\) 21.4831 + 6.62665i 1.09773 + 0.338606i 0.790149 0.612915i \(-0.210003\pi\)
0.307585 + 0.951521i \(0.400479\pi\)
\(384\) −4.43118 + 11.7515i −0.226128 + 0.599689i
\(385\) 0.257959 + 1.28955i 0.0131468 + 0.0657215i
\(386\) −7.08895 8.88926i −0.360818 0.452451i
\(387\) −32.8934 21.1569i −1.67207 1.07547i
\(388\) 13.8411 9.43667i 0.702673 0.479074i
\(389\) −24.2948 3.66185i −1.23180 0.185663i −0.499296 0.866431i \(-0.666408\pi\)
−0.732499 + 0.680768i \(0.761646\pi\)
\(390\) −0.249255 2.81835i −0.0126215 0.142713i
\(391\) 4.37387 + 7.57577i 0.221196 + 0.383123i
\(392\) −6.53990 0.353067i −0.330315 0.0178326i
\(393\) −1.55730 + 7.27109i −0.0785552 + 0.366778i
\(394\) −4.15588 + 18.2081i −0.209370 + 0.917311i
\(395\) 0.527248 + 1.34341i 0.0265287 + 0.0675941i
\(396\) −7.53615 8.94687i −0.378706 0.449597i
\(397\) 36.1197 + 5.44417i 1.81280 + 0.273235i 0.965974 0.258639i \(-0.0832740\pi\)
0.846823 + 0.531874i \(0.178512\pi\)
\(398\) −17.8858 + 2.69585i −0.896535 + 0.135131i
\(399\) −13.3534 4.31806i −0.668504 0.216173i
\(400\) −23.3136 3.51397i −1.16568 0.175698i
\(401\) −11.7982 3.63927i −0.589176 0.181737i −0.0141890 0.999899i \(-0.504517\pi\)
−0.574987 + 0.818163i \(0.694993\pi\)
\(402\) 6.96050 + 4.61008i 0.347158 + 0.229930i
\(403\) −3.24810 + 1.00191i −0.161800 + 0.0499086i
\(404\) −15.4220 10.5146i −0.767275 0.523119i
\(405\) 1.50809 0.828662i 0.0749377 0.0411766i
\(406\) −9.94891 9.74345i −0.493756 0.483559i
\(407\) −4.65430 1.43566i −0.230705 0.0711631i
\(408\) −1.92773 + 0.960401i −0.0954367 + 0.0475469i
\(409\) 21.6834 10.4422i 1.07217 0.516332i 0.187367 0.982290i \(-0.440005\pi\)
0.884807 + 0.465958i \(0.154290\pi\)
\(410\) −2.63720 −0.130242
\(411\) 7.82285 + 7.06571i 0.385873 + 0.348526i
\(412\) 0.197675 2.63779i 0.00973874 0.129954i
\(413\) 4.50243 + 22.5079i 0.221550 + 1.10754i
\(414\) −12.5693 + 34.7379i −0.617750 + 1.70728i
\(415\) −0.131915 1.76028i −0.00647545 0.0864089i
\(416\) −23.4854 + 21.7913i −1.15147 + 1.06841i
\(417\) −7.63122 + 13.6368i −0.373703 + 0.667796i
\(418\) 12.3066 8.39052i 0.601937 0.410394i
\(419\) −1.63898 21.8707i −0.0800694 1.06845i −0.882067 0.471124i \(-0.843848\pi\)
0.801997 0.597328i \(-0.203771\pi\)
\(420\) −0.805353 1.03845i −0.0392972 0.0506713i
\(421\) −0.620099 + 8.27465i −0.0302218 + 0.403282i 0.961494 + 0.274827i \(0.0886206\pi\)
−0.991715 + 0.128454i \(0.958998\pi\)
\(422\) 18.1931 + 31.5114i 0.885626 + 1.53395i
\(423\) 24.3670 17.5885i 1.18476 0.855184i
\(424\) −0.804291 + 10.7325i −0.0390598 + 0.521217i
\(425\) −4.11278 5.15727i −0.199499 0.250164i
\(426\) 11.5727 + 19.4377i 0.560697 + 0.941759i
\(427\) −33.3718 0.900159i −1.61497 0.0435618i
\(428\) −2.09331 + 0.645700i −0.101184 + 0.0312111i
\(429\) 4.84441 + 19.9854i 0.233890 + 0.964906i
\(430\) 4.45590 1.37446i 0.214883 0.0662825i
\(431\) −7.42985 + 1.11987i −0.357883 + 0.0539422i −0.325523 0.945534i \(-0.605540\pi\)
−0.0323600 + 0.999476i \(0.510302\pi\)
\(432\) −22.6508 9.80618i −1.08979 0.471800i
\(433\) 0.280563 0.351815i 0.0134830 0.0169071i −0.775044 0.631907i \(-0.782272\pi\)
0.788527 + 0.615000i \(0.210844\pi\)
\(434\) −2.37377 + 2.81729i −0.113945 + 0.135234i
\(435\) −0.0571596 + 0.929933i −0.00274059 + 0.0445869i
\(436\) −1.24606 3.17492i −0.0596757 0.152051i
\(437\) −18.1618 8.74628i −0.868798 0.418391i
\(438\) 2.40544 + 2.93471i 0.114936 + 0.140226i
\(439\) 0.156571 0.685983i 0.00747274 0.0327402i −0.971054 0.238860i \(-0.923226\pi\)
0.978527 + 0.206119i \(0.0660836\pi\)
\(440\) −0.465065 −0.0221711
\(441\) 2.13646 20.8910i 0.101736 0.994811i
\(442\) −11.3546 −0.540081
\(443\) −0.534113 + 2.34010i −0.0253765 + 0.111182i −0.986030 0.166568i \(-0.946731\pi\)
0.960653 + 0.277750i \(0.0895886\pi\)
\(444\) 4.80264 0.789889i 0.227923 0.0374865i
\(445\) 2.62761 + 1.26539i 0.124561 + 0.0599853i
\(446\) −11.2217 28.5924i −0.531363 1.35389i
\(447\) −16.3569 + 8.14907i −0.773655 + 0.385438i
\(448\) −2.38475 + 9.28647i −0.112669 + 0.438745i
\(449\) 11.6216 14.5731i 0.548459 0.687745i −0.427919 0.903817i \(-0.640753\pi\)
0.976377 + 0.216072i \(0.0693245\pi\)
\(450\) 5.46815 27.3148i 0.257771 1.28763i
\(451\) 18.9536 2.85679i 0.892489 0.134521i
\(452\) 2.65562 0.819151i 0.124910 0.0385296i
\(453\) −27.4534 8.06668i −1.28987 0.379006i
\(454\) 50.5611 15.5960i 2.37295 0.731959i
\(455\) 0.453150 + 2.26531i 0.0212440 + 0.106200i
\(456\) 2.42363 4.33096i 0.113497 0.202816i
\(457\) −6.78850 8.51251i −0.317553 0.398199i 0.597279 0.802033i \(-0.296248\pi\)
−0.914832 + 0.403835i \(0.867677\pi\)
\(458\) 1.43454 19.1426i 0.0670318 0.894477i
\(459\) −2.77943 6.32162i −0.129733 0.295068i
\(460\) −0.943793 1.63470i −0.0440046 0.0762181i
\(461\) −0.668240 + 8.91704i −0.0311230 + 0.415308i 0.959782 + 0.280746i \(0.0905818\pi\)
−0.990905 + 0.134562i \(0.957037\pi\)
\(462\) 16.1311 + 15.3796i 0.750485 + 0.715524i
\(463\) 0.135146 + 1.80340i 0.00628078 + 0.0838113i 0.999463 0.0327585i \(-0.0104292\pi\)
−0.993183 + 0.116570i \(0.962810\pi\)
\(464\) 11.0418 7.52820i 0.512605 0.349488i
\(465\) 0.246460 0.00330538i 0.0114293 0.000153283i
\(466\) −24.4284 + 22.6663i −1.13163 + 1.05000i
\(467\) 0.763450 + 10.1875i 0.0353283 + 0.471423i 0.986610 + 0.163099i \(0.0521490\pi\)
−0.951281 + 0.308324i \(0.900232\pi\)
\(468\) −13.2385 15.7167i −0.611951 0.726505i
\(469\) −6.05977 3.12224i −0.279814 0.144172i
\(470\) −0.267762 + 3.57303i −0.0123509 + 0.164812i
\(471\) −24.8839 + 8.04266i −1.14659 + 0.370586i
\(472\) −8.11727 −0.373628
\(473\) −30.5356 + 14.7052i −1.40403 + 0.676145i
\(474\) 20.3913 + 13.5056i 0.936602 + 0.620331i
\(475\) 14.5253 + 4.48045i 0.666465 + 0.205577i
\(476\) −4.43598 + 2.85229i −0.203323 + 0.130734i
\(477\) −34.2493 4.22633i −1.56817 0.193511i
\(478\) 27.2809 + 18.5998i 1.24780 + 0.850736i
\(479\) 11.5775 3.57118i 0.528989 0.163171i −0.0187447 0.999824i \(-0.505967\pi\)
0.547733 + 0.836653i \(0.315491\pi\)
\(480\) 2.07940 1.03597i 0.0949114 0.0472852i
\(481\) −8.17608 2.52199i −0.372797 0.114993i
\(482\) 38.5030 + 5.80339i 1.75376 + 0.264337i
\(483\) 7.11005 29.3136i 0.323519 1.33382i
\(484\) 6.29043 0.948130i 0.285929 0.0430968i
\(485\) 2.11159 + 0.318271i 0.0958823 + 0.0144519i
\(486\) 12.8564 26.1760i 0.583179 1.18737i
\(487\) −3.47182 8.84605i −0.157323 0.400853i 0.830379 0.557199i \(-0.188124\pi\)
−0.987702 + 0.156346i \(0.950029\pi\)
\(488\) 2.62703 11.5098i 0.118920 0.521022i
\(489\) 19.3187 + 17.4489i 0.873623 + 0.789068i
\(490\) 1.74095 + 1.79950i 0.0786482 + 0.0812930i
\(491\) 16.8326 + 29.1548i 0.759643 + 1.31574i 0.943033 + 0.332700i \(0.107960\pi\)
−0.183390 + 0.983040i \(0.558707\pi\)
\(492\) −15.6795 + 11.0010i −0.706885 + 0.495962i
\(493\) 3.69723 + 0.557268i 0.166515 + 0.0250981i
\(494\) 21.6187 14.7394i 0.972671 0.663156i
\(495\) 0.0715172 1.48946i 0.00321446 0.0669464i
\(496\) −2.20435 2.76416i −0.0989781 0.124115i
\(497\) −11.1229 14.7465i −0.498931 0.661472i
\(498\) −18.9644 23.1372i −0.849817 1.03680i
\(499\) 36.3350 + 11.2079i 1.62658 + 0.501733i 0.968036 0.250810i \(-0.0806969\pi\)
0.658543 + 0.752543i \(0.271173\pi\)
\(500\) 1.78145 + 2.23386i 0.0796687 + 0.0999013i
\(501\) 15.1145 10.6046i 0.675265 0.473776i
\(502\) −14.0644 + 6.77306i −0.627725 + 0.302296i
\(503\) 2.09258 9.16820i 0.0933037 0.408790i −0.906609 0.421971i \(-0.861339\pi\)
0.999913 + 0.0131807i \(0.00419566\pi\)
\(504\) 7.09610 + 2.18999i 0.316085 + 0.0975499i
\(505\) −0.529457 2.31970i −0.0235605 0.103225i
\(506\) 19.9599 + 25.0290i 0.887327 + 1.11267i
\(507\) 3.20567 + 13.2249i 0.142369 + 0.587338i
\(508\) −11.4319 −0.507208
\(509\) 6.82444 11.8203i 0.302488 0.523925i −0.674211 0.738539i \(-0.735516\pi\)
0.976699 + 0.214614i \(0.0688494\pi\)
\(510\) 0.789962 + 0.232116i 0.0349801 + 0.0102783i
\(511\) −2.21356 2.16785i −0.0979222 0.0959000i
\(512\) −22.0148 10.6018i −0.972925 0.468536i
\(513\) 13.4981 + 8.42816i 0.595954 + 0.372113i
\(514\) 17.8345 + 5.50121i 0.786645 + 0.242648i
\(515\) 0.247180 0.229350i 0.0108921 0.0101064i
\(516\) 20.7590 26.7594i 0.913865 1.17802i
\(517\) −1.94614 25.9694i −0.0855910 1.14213i
\(518\) −8.93182 + 2.49343i −0.392442 + 0.109555i
\(519\) −3.45437 + 3.29249i −0.151630 + 0.144524i
\(520\) −0.816967 −0.0358264
\(521\) 8.36302 14.4852i 0.366390 0.634607i −0.622608 0.782534i \(-0.713927\pi\)
0.988998 + 0.147927i \(0.0472602\pi\)
\(522\) 8.25882 + 13.4578i 0.361479 + 0.589031i
\(523\) −2.62761 + 6.69504i −0.114897 + 0.292754i −0.976742 0.214419i \(-0.931214\pi\)
0.861844 + 0.507173i \(0.169309\pi\)
\(524\) −6.15314 1.89799i −0.268801 0.0829142i
\(525\) −2.00708 + 22.6566i −0.0875962 + 0.988816i
\(526\) −41.7233 + 12.8699i −1.81922 + 0.561155i
\(527\) 0.0739204 0.986399i 0.00322002 0.0429682i
\(528\) −17.5095 + 12.2849i −0.762002 + 0.534632i
\(529\) 7.42583 18.9207i 0.322862 0.822639i
\(530\) 3.01614 2.79857i 0.131013 0.121562i
\(531\) 1.24826 25.9972i 0.0541701 1.12818i
\(532\) 4.74339 11.1890i 0.205652 0.485105i
\(533\) 33.2952 5.01844i 1.44217 0.217373i
\(534\) 48.7713 8.02139i 2.11054 0.347120i
\(535\) −0.251595 0.121162i −0.0108774 0.00523829i
\(536\) 1.50303 1.88474i 0.0649211 0.0814085i
\(537\) 28.4320 + 13.2254i 1.22693 + 0.570718i
\(538\) 6.94764 12.0337i 0.299534 0.518808i
\(539\) −14.4616 11.0471i −0.622903 0.475831i
\(540\) 0.599745 + 1.36408i 0.0258089 + 0.0587005i
\(541\) −33.0235 + 10.1864i −1.41979 + 0.437947i −0.907205 0.420689i \(-0.861788\pi\)
−0.512586 + 0.858636i \(0.671312\pi\)
\(542\) 34.1461 + 5.14670i 1.46670 + 0.221070i
\(543\) −10.8336 1.48461i −0.464915 0.0637106i
\(544\) −3.40616 8.67875i −0.146038 0.372098i
\(545\) 0.158842 0.404722i 0.00680403 0.0173364i
\(546\) 28.3370 + 27.0169i 1.21271 + 1.15622i
\(547\) −6.98127 17.7880i −0.298497 0.760559i −0.998904 0.0468145i \(-0.985093\pi\)
0.700406 0.713744i \(-0.253002\pi\)
\(548\) −6.69156 + 6.20886i −0.285849 + 0.265230i
\(549\) 36.4583 + 10.1835i 1.55600 + 0.434623i
\(550\) −17.6960 16.4195i −0.754559 0.700128i
\(551\) −7.76279 + 3.73836i −0.330706 + 0.159260i
\(552\) 9.67176 + 4.49890i 0.411657 + 0.191486i
\(553\) −17.7525 9.14683i −0.754914 0.388963i
\(554\) 19.9810 18.5396i 0.848910 0.787673i
\(555\) 0.517272 + 0.342600i 0.0219570 + 0.0145426i
\(556\) −11.1807 7.62290i −0.474169 0.323283i
\(557\) −0.145687 + 0.252337i −0.00617295 + 0.0106919i −0.869095 0.494645i \(-0.835298\pi\)
0.862922 + 0.505336i \(0.168632\pi\)
\(558\) 3.38708 2.44486i 0.143386 0.103499i
\(559\) −53.6410 + 25.8322i −2.26877 + 1.09258i
\(560\) −2.02113 + 1.29957i −0.0854084 + 0.0549167i
\(561\) −5.92890 0.812480i −0.250318 0.0343029i
\(562\) 10.8801 7.41791i 0.458948 0.312906i
\(563\) −4.74928 20.8080i −0.200158 0.876951i −0.970840 0.239730i \(-0.922941\pi\)
0.770681 0.637221i \(-0.219916\pi\)
\(564\) 13.3127 + 22.3604i 0.560567 + 0.941542i
\(565\) 0.319180 + 0.153709i 0.0134280 + 0.00646659i
\(566\) 13.2259 + 6.36927i 0.555927 + 0.267720i
\(567\) −8.10511 + 22.3899i −0.340382 + 0.940287i
\(568\) 5.88514 2.83414i 0.246935 0.118918i
\(569\) 31.9487 1.33936 0.669679 0.742650i \(-0.266432\pi\)
0.669679 + 0.742650i \(0.266432\pi\)
\(570\) −1.80537 + 0.583510i −0.0756187 + 0.0244406i
\(571\) −24.6227 + 11.8577i −1.03043 + 0.496228i −0.871155 0.491007i \(-0.836629\pi\)
−0.159272 + 0.987235i \(0.550915\pi\)
\(572\) −17.6087 + 2.65409i −0.736258 + 0.110973i
\(573\) 4.99693 + 8.39296i 0.208750 + 0.350621i
\(574\) 27.4111 24.0914i 1.14412 1.00556i
\(575\) −7.26988 + 31.8514i −0.303175 + 1.32830i
\(576\) 5.18132 9.55741i 0.215888 0.398225i
\(577\) −15.1978 14.1015i −0.632692 0.587052i 0.297231 0.954805i \(-0.403937\pi\)
−0.929924 + 0.367753i \(0.880127\pi\)
\(578\) −10.4120 + 26.5292i −0.433080 + 1.10347i
\(579\) −5.38506 9.04487i −0.223795 0.375892i
\(580\) −0.797787 0.120247i −0.0331263 0.00499298i
\(581\) 17.4517 + 17.0913i 0.724019 + 0.709067i
\(582\) 32.3931 16.1384i 1.34274 0.668956i
\(583\) −18.6454 + 23.3806i −0.772214 + 0.968326i
\(584\) 0.905283 0.617211i 0.0374609 0.0255404i
\(585\) 0.125632 2.61650i 0.00519425 0.108179i
\(586\) −17.9815 + 5.54657i −0.742811 + 0.229127i
\(587\) 9.87230 17.0993i 0.407474 0.705765i −0.587132 0.809491i \(-0.699743\pi\)
0.994606 + 0.103726i \(0.0330765\pi\)
\(588\) 17.8573 + 3.43660i 0.736424 + 0.141723i
\(589\) 1.13970 + 1.97403i 0.0469607 + 0.0813384i
\(590\) 2.27481 + 2.11071i 0.0936524 + 0.0868967i
\(591\) −6.10078 + 16.1792i −0.250953 + 0.665525i
\(592\) −0.665061 8.87462i −0.0273338 0.364744i
\(593\) 1.45930 + 0.219953i 0.0599261 + 0.00903241i 0.178937 0.983861i \(-0.442734\pi\)
−0.119011 + 0.992893i \(0.537972\pi\)
\(594\) −13.5060 21.3602i −0.554159 0.876419i
\(595\) −0.661829 0.118087i −0.0271323 0.00484108i
\(596\) −5.78146 14.7309i −0.236818 0.603402i
\(597\) −16.7449 + 0.224573i −0.685322 + 0.00919117i
\(598\) 35.0630 + 43.9676i 1.43383 + 1.79797i
\(599\) −6.77176 + 29.6690i −0.276686 + 1.21224i 0.625268 + 0.780410i \(0.284990\pi\)
−0.901954 + 0.431832i \(0.857867\pi\)
\(600\) −7.71732 2.26760i −0.315058 0.0925742i
\(601\) −19.2260 17.8391i −0.784244 0.727672i 0.182559 0.983195i \(-0.441562\pi\)
−0.966803 + 0.255522i \(0.917753\pi\)
\(602\) −33.7586 + 54.9918i −1.37590 + 2.24130i
\(603\) 5.80513 + 5.10359i 0.236403 + 0.207834i
\(604\) 9.05255 23.0655i 0.368343 0.938523i
\(605\) 0.670020 + 0.456812i 0.0272402 + 0.0185720i
\(606\) −29.9250 27.0287i −1.21562 1.09797i
\(607\) 19.6050 33.9569i 0.795744 1.37827i −0.126622 0.991951i \(-0.540414\pi\)
0.922366 0.386318i \(-0.126253\pi\)
\(608\) 17.7511 + 12.1025i 0.719903 + 0.490821i
\(609\) −7.90103 10.1879i −0.320166 0.412834i
\(610\) −3.72906 + 2.54243i −0.150985 + 0.102940i
\(611\) −3.41872 45.6197i −0.138307 1.84558i
\(612\) 5.66498 1.91524i 0.228993 0.0774191i
\(613\) −11.3070 3.48774i −0.456684 0.140869i 0.0578738 0.998324i \(-0.481568\pi\)
−0.514558 + 0.857455i \(0.672044\pi\)
\(614\) −53.6106 25.8175i −2.16355 1.04191i
\(615\) −2.41901 0.331495i −0.0975440 0.0133672i
\(616\) 4.83389 4.24848i 0.194763 0.171176i
\(617\) −27.2439 18.5746i −1.09680 0.747784i −0.127051 0.991896i \(-0.540551\pi\)
−0.969747 + 0.244112i \(0.921504\pi\)
\(618\) 1.19680 5.58790i 0.0481422 0.224778i
\(619\) 10.6655 + 18.4732i 0.428682 + 0.742499i 0.996756 0.0804782i \(-0.0256447\pi\)
−0.568074 + 0.822977i \(0.692311\pi\)
\(620\) −0.0159505 + 0.212845i −0.000640588 + 0.00854805i
\(621\) −15.8959 + 30.2839i −0.637882 + 1.21525i
\(622\) 6.39072 + 27.9996i 0.256245 + 1.12268i
\(623\) −38.8711 + 10.8514i −1.55734 + 0.434750i
\(624\) −30.7584 + 21.5806i −1.23132 + 0.863914i
\(625\) 1.82737 24.3846i 0.0730950 0.975385i
\(626\) 0.558531 2.44708i 0.0223234 0.0978051i
\(627\) 12.3431 6.14938i 0.492936 0.245583i
\(628\) −5.03917 22.0780i −0.201085 0.881010i
\(629\) 1.55243 1.94669i 0.0618996 0.0776196i
\(630\) −1.41917 2.45891i −0.0565412 0.0979652i
\(631\) −23.0740 28.9339i −0.918562 1.15184i −0.988031 0.154257i \(-0.950702\pi\)
0.0694684 0.997584i \(-0.477870\pi\)
\(632\) 4.40324 5.52149i 0.175151 0.219633i
\(633\) 12.7269 + 31.1911i 0.505849 + 1.23973i
\(634\) 8.48221 10.6363i 0.336871 0.422423i
\(635\) −1.06826 0.991198i −0.0423925 0.0393345i
\(636\) 6.25836 29.2206i 0.248160 1.15867i
\(637\) −25.4042 19.4061i −1.00655 0.768896i
\(638\) 13.6832 0.541723
\(639\) 8.17187 + 19.2842i 0.323274 + 0.762870i
\(640\) −0.506497 1.29053i −0.0200210 0.0510128i
\(641\) −0.802174 10.7043i −0.0316840 0.422793i −0.990381 0.138365i \(-0.955815\pi\)
0.958697 0.284428i \(-0.0918037\pi\)
\(642\) −4.66988 + 0.768053i −0.184305 + 0.0303126i
\(643\) 10.3627 26.4037i 0.408665 1.04126i −0.567334 0.823488i \(-0.692025\pi\)
0.975999 0.217774i \(-0.0698796\pi\)
\(644\) 24.7431 + 8.36929i 0.975015 + 0.329796i
\(645\) 4.26000 0.700642i 0.167738 0.0275877i
\(646\) 1.69433 + 7.42333i 0.0666624 + 0.292067i
\(647\) −20.3421 + 3.06608i −0.799730 + 0.120540i −0.536178 0.844105i \(-0.680132\pi\)
−0.263552 + 0.964645i \(0.584894\pi\)
\(648\) −7.20182 4.36368i −0.282914 0.171421i
\(649\) −18.6355 12.7055i −0.731507 0.498733i
\(650\) −31.0860 28.8436i −1.21929 1.13134i
\(651\) −2.53151 + 2.28582i −0.0992176 + 0.0895884i
\(652\) −16.5250 + 15.3329i −0.647168 + 0.600484i
\(653\) −29.2384 + 4.40697i −1.14419 + 0.172458i −0.693658 0.720305i \(-0.744002\pi\)
−0.450527 + 0.892763i \(0.648764\pi\)
\(654\) −1.73581 7.16104i −0.0678757 0.280019i
\(655\) −0.410418 0.710865i −0.0160364 0.0277758i
\(656\) 17.5111 + 30.3301i 0.683694 + 1.18419i
\(657\) 1.83753 + 2.99426i 0.0716888 + 0.116817i
\(658\) −29.8573 39.5841i −1.16396 1.54315i
\(659\) 30.5595 20.8351i 1.19043 0.811620i 0.204513 0.978864i \(-0.434439\pi\)
0.985916 + 0.167244i \(0.0534867\pi\)
\(660\) 1.27934 + 0.175317i 0.0497981 + 0.00682419i
\(661\) 3.55539 + 15.5772i 0.138289 + 0.605883i 0.995811 + 0.0914359i \(0.0291457\pi\)
−0.857522 + 0.514447i \(0.827997\pi\)
\(662\) −12.2342 53.6014i −0.475495 2.08328i
\(663\) −10.4151 1.42726i −0.404490 0.0554302i
\(664\) −7.13724 + 4.86609i −0.276979 + 0.188841i
\(665\) 1.41339 0.634288i 0.0548088 0.0245966i
\(666\) 10.5112 0.281992i 0.407300 0.0109269i
\(667\) −9.25922 16.0374i −0.358518 0.620972i
\(668\) 7.99430 + 13.8465i 0.309309 + 0.535738i
\(669\) −6.69921 27.6374i −0.259006 1.06852i
\(670\) −0.911299 + 0.137356i −0.0352065 + 0.00530653i
\(671\) 24.0466 22.3120i 0.928308 0.861344i
\(672\) −12.1495 + 29.7637i −0.468679 + 1.14816i
\(673\) −0.878195 0.814846i −0.0338519 0.0314100i 0.663065 0.748561i \(-0.269255\pi\)
−0.696917 + 0.717151i \(0.745446\pi\)
\(674\) −31.1311 21.2249i −1.19913 0.817551i
\(675\) 8.44919 24.3675i 0.325209 0.937907i
\(676\) −11.6522 + 1.75628i −0.448160 + 0.0675492i
\(677\) 10.6204 + 46.5311i 0.408176 + 1.78834i 0.592608 + 0.805491i \(0.298098\pi\)
−0.184432 + 0.982845i \(0.559044\pi\)
\(678\) 5.92432 0.974371i 0.227522 0.0374205i
\(679\) −24.8553 + 15.9817i −0.953860 + 0.613322i
\(680\) 0.0868571 0.221308i 0.00333082 0.00848678i
\(681\) 48.3383 7.95019i 1.85233 0.304652i
\(682\) −0.270519 3.60982i −0.0103587 0.138227i
\(683\) 12.2626 + 31.2447i 0.469216 + 1.19554i 0.948187 + 0.317713i \(0.102915\pi\)
−0.478971 + 0.877831i \(0.658990\pi\)
\(684\) −8.29975 + 11.0003i −0.317349 + 0.420606i
\(685\) −1.16363 −0.0444602
\(686\) −34.5343 2.79998i −1.31853 0.106904i
\(687\) 3.72207 17.3785i 0.142006 0.663032i
\(688\) −45.3948 42.1203i −1.73066 1.60582i
\(689\) −32.7539 + 41.0720i −1.24782 + 1.56472i
\(690\) −1.54060 3.77571i −0.0586497 0.143739i
\(691\) −12.0242 + 15.0778i −0.457421 + 0.573588i −0.956041 0.293233i \(-0.905269\pi\)
0.498620 + 0.866821i \(0.333840\pi\)
\(692\) −2.57653 3.23087i −0.0979451 0.122819i
\(693\) 12.8632 + 16.1348i 0.488634 + 0.612911i
\(694\) −24.3479 + 30.5313i −0.924234 + 1.15895i
\(695\) −0.383848 1.68175i −0.0145602 0.0637924i
\(696\) 4.08088 2.03311i 0.154685 0.0770648i
\(697\) −2.18038 + 9.55288i −0.0825879 + 0.361841i
\(698\) 2.38843 31.8713i 0.0904032 1.20635i
\(699\) −25.2565 + 17.7203i −0.955287 + 0.670244i
\(700\) −19.3902 3.45969i −0.732880 0.130764i
\(701\) −1.42441 6.24075i −0.0537993 0.235710i 0.940879 0.338744i \(-0.110002\pi\)
−0.994678 + 0.103034i \(0.967145\pi\)
\(702\) −23.7256 37.5228i −0.895467 1.41621i
\(703\) −0.428779 + 5.72165i −0.0161717 + 0.215796i
\(704\) −4.71053 8.15887i −0.177535 0.307499i
\(705\) −0.694736 + 3.24375i −0.0261653 + 0.122167i
\(706\) −8.10629 5.52677i −0.305084 0.208003i
\(707\) 26.6942 + 19.2743i 1.00394 + 0.724884i
\(708\) 22.3296 + 3.05999i 0.839197 + 0.115001i
\(709\) −37.5985 18.1065i −1.41204 0.680004i −0.436477 0.899715i \(-0.643774\pi\)
−0.975565 + 0.219711i \(0.929488\pi\)
\(710\) −2.38622 0.736052i −0.0895533 0.0276235i
\(711\) 17.0065 + 14.9513i 0.637795 + 0.560719i
\(712\) −1.06653 14.2319i −0.0399699 0.533362i
\(713\) −4.04785 + 2.75978i −0.151593 + 0.103354i
\(714\) −10.3313 + 4.80387i −0.386639 + 0.179780i
\(715\) −1.87558 1.27875i −0.0701426 0.0478224i
\(716\) −13.5770 + 23.5161i −0.507398 + 0.878839i
\(717\) 22.6858 + 20.4901i 0.847217 + 0.765218i
\(718\) 51.1887 + 34.8999i 1.91035 + 1.30245i
\(719\) −9.10774 + 23.2061i −0.339661 + 0.865443i 0.654352 + 0.756190i \(0.272941\pi\)
−0.994014 + 0.109254i \(0.965154\pi\)
\(720\) 2.58109 0.872628i 0.0961916 0.0325209i
\(721\) −0.474031 + 4.64191i −0.0176538 + 0.172874i
\(722\) 13.1942 + 12.2424i 0.491038 + 0.455617i
\(723\) 34.5879 + 10.1630i 1.28634 + 0.377968i
\(724\) 2.10707 9.23166i 0.0783085 0.343092i
\(725\) 8.70650 + 10.9176i 0.323351 + 0.405470i
\(726\) 13.7420 0.184301i 0.510015 0.00684005i
\(727\) 2.04467 + 5.20972i 0.0758324 + 0.193218i 0.963763 0.266759i \(-0.0859528\pi\)
−0.887931 + 0.459977i \(0.847858\pi\)
\(728\) 8.49155 7.46317i 0.314718 0.276604i
\(729\) 15.0830 22.3942i 0.558631 0.829416i
\(730\) −0.414191 0.0624292i −0.0153299 0.00231061i
\(731\) −1.29475 17.2772i −0.0478880 0.639021i
\(732\) −11.5655 + 30.6716i −0.427472 + 1.13365i
\(733\) −25.4745 23.6368i −0.940920 0.873047i 0.0511550 0.998691i \(-0.483710\pi\)
−0.992075 + 0.125644i \(0.959900\pi\)
\(734\) 20.1191 + 34.8473i 0.742610 + 1.28624i
\(735\) 1.37072 + 1.86945i 0.0505597 + 0.0689557i
\(736\) −23.0880 + 39.9896i −0.851035 + 1.47404i
\(737\) 6.40070 1.97436i 0.235773 0.0727263i
\(738\) −36.7868 + 18.9473i −1.35414 + 0.697460i
\(739\) −12.3903 + 8.44758i −0.455786 + 0.310749i −0.769361 0.638814i \(-0.779425\pi\)
0.313576 + 0.949563i \(0.398473\pi\)
\(740\) −0.334984 + 0.420056i −0.0123142 + 0.0154416i
\(741\) 21.6828 10.8024i 0.796537 0.396838i
\(742\) −5.78422 + 56.6415i −0.212345 + 2.07938i
\(743\) 26.0420 + 3.92520i 0.955388 + 0.144002i 0.608191 0.793791i \(-0.291895\pi\)
0.347197 + 0.937792i \(0.387134\pi\)
\(744\) −0.617042 1.03640i −0.0226219 0.0379962i
\(745\) 0.736989 1.87782i 0.0270012 0.0687979i
\(746\) 45.0041 + 41.7577i 1.64772 + 1.52886i
\(747\) −14.4871 23.6068i −0.530054 0.863726i
\(748\) 1.15313 5.05220i 0.0421627 0.184727i
\(749\) 3.72193 1.03902i 0.135996 0.0379651i
\(750\) 3.15776 + 5.30384i 0.115305 + 0.193669i
\(751\) −16.2376 + 2.44742i −0.592518 + 0.0893078i −0.438455 0.898753i \(-0.644474\pi\)
−0.154063 + 0.988061i \(0.549236\pi\)
\(752\) 42.8709 20.6455i 1.56334 0.752865i
\(753\) −13.7521 + 4.44479i −0.501156 + 0.161977i
\(754\) 24.0369 0.875372
\(755\) 2.84581 1.37047i 0.103570 0.0498765i
\(756\) −18.6949 8.69941i −0.679927 0.316395i
\(757\) 44.9468 + 21.6452i 1.63362 + 0.786709i 0.999914 + 0.0131343i \(0.00418088\pi\)
0.633705 + 0.773575i \(0.281533\pi\)
\(758\) −52.6520 25.3558i −1.91241 0.920966i
\(759\) 15.1624 + 25.4671i 0.550360 + 0.924397i
\(760\) 0.121908 + 0.534113i 0.00442206 + 0.0193743i
\(761\) −5.96505 + 4.06690i −0.216233 + 0.147425i −0.666593 0.745422i \(-0.732248\pi\)
0.450360 + 0.892847i \(0.351296\pi\)
\(762\) −24.4686 3.35311i −0.886404 0.121470i
\(763\) 2.04622 + 5.65773i 0.0740783 + 0.204824i
\(764\) −7.62085 + 3.67001i −0.275713 + 0.132776i
\(765\) 0.695427 + 0.312210i 0.0251432 + 0.0112880i
\(766\) −21.0295 + 36.4242i −0.759827 + 1.31606i
\(767\) −32.7364 22.3193i −1.18204 0.805904i
\(768\) −30.0547 19.9058i −1.08451 0.718290i
\(769\) 16.8188 15.6055i 0.606500 0.562750i −0.315994 0.948761i \(-0.602338\pi\)
0.922494 + 0.386011i \(0.126147\pi\)
\(770\) −2.45938 0.0663385i −0.0886300 0.00239067i