Properties

Label 770.2.bv.a.157.33
Level $770$
Weight $2$
Character 770.157
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 157.33
Character \(\chi\) \(=\) 770.157
Dual form 770.2.bv.a.103.33

$q$-expansion

\(f(q)\) \(=\) \(q+(0.358368 + 0.933580i) q^{2} +(-0.837605 - 1.28980i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.48465 - 1.67207i) q^{5} +(0.903960 - 1.24419i) q^{6} +(2.63859 + 0.194548i) q^{7} +(-0.891007 - 0.453990i) q^{8} +(0.258211 - 0.579952i) q^{9} +O(q^{10})\) \(q+(0.358368 + 0.933580i) q^{2} +(-0.837605 - 1.28980i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.48465 - 1.67207i) q^{5} +(0.903960 - 1.24419i) q^{6} +(2.63859 + 0.194548i) q^{7} +(-0.891007 - 0.453990i) q^{8} +(0.258211 - 0.579952i) q^{9} +(2.09306 + 0.786822i) q^{10} +(-0.852145 - 3.20528i) q^{11} +(1.48551 + 0.398040i) q^{12} +(-2.56353 - 0.406023i) q^{13} +(0.763960 + 2.53305i) q^{14} +(-3.40018 - 0.514363i) q^{15} +(0.104528 - 0.994522i) q^{16} +(-0.247607 + 0.645039i) q^{17} +(0.633967 + 0.0332248i) q^{18} +(-1.35537 + 1.50529i) q^{19} +(0.0155247 + 2.23601i) q^{20} +(-1.95917 - 3.56620i) q^{21} +(2.68701 - 1.94422i) q^{22} +(1.91793 + 0.513907i) q^{23} +(0.160755 + 1.52948i) q^{24} +(-0.591638 - 4.96487i) q^{25} +(-0.539631 - 2.53877i) q^{26} +(-5.52122 + 0.874476i) q^{27} +(-2.09103 + 1.62098i) q^{28} +(-4.99572 - 1.62321i) q^{29} +(-0.738317 - 3.35868i) q^{30} +(6.69489 - 0.703662i) q^{31} +(0.965926 - 0.258819i) q^{32} +(-3.42041 + 3.78386i) q^{33} -0.690930 q^{34} +(4.24267 - 4.12307i) q^{35} +(0.196175 + 0.603766i) q^{36} +(-0.790201 - 0.513163i) q^{37} +(-1.89102 - 0.725896i) q^{38} +(1.62354 + 3.64652i) q^{39} +(-2.08194 + 0.815809i) q^{40} +(-3.48874 + 1.13356i) q^{41} +(2.62723 - 3.10705i) q^{42} +(7.61122 - 7.61122i) q^{43} +(2.77802 + 1.81179i) q^{44} +(-0.586368 - 1.29277i) q^{45} +(0.207550 + 1.97471i) q^{46} +(-0.623773 - 11.9023i) q^{47} +(-1.37029 + 0.698196i) q^{48} +(6.92430 + 1.02666i) q^{49} +(4.42308 - 2.33159i) q^{50} +(1.03937 - 0.220924i) q^{51} +(2.17676 - 1.41360i) q^{52} +(9.76349 + 7.90632i) q^{53} +(-2.79502 - 4.84112i) q^{54} +(-6.62460 - 3.33387i) q^{55} +(-2.26268 - 1.37124i) q^{56} +(3.07678 + 0.487314i) q^{57} +(-0.274911 - 5.24561i) q^{58} +(-5.73484 - 6.36919i) q^{59} +(2.87100 - 1.89292i) q^{60} +(-3.98951 - 0.419314i) q^{61} +(3.05616 + 5.99805i) q^{62} +(0.794142 - 1.48002i) q^{63} +(0.587785 + 0.809017i) q^{64} +(-4.48484 + 3.68360i) q^{65} +(-4.75830 - 1.83722i) q^{66} +(14.1612 - 3.79447i) q^{67} +(-0.247607 - 0.645039i) q^{68} +(-0.943630 - 2.90419i) q^{69} +(5.36966 + 2.48330i) q^{70} +(-1.72082 - 1.25025i) q^{71} +(-0.493361 + 0.399516i) q^{72} +(-0.498810 + 9.51787i) q^{73} +(0.195896 - 0.921617i) q^{74} +(-5.90813 + 4.92170i) q^{75} -2.02556i q^{76} +(-1.62488 - 8.62321i) q^{77} +(-2.82250 + 2.82250i) q^{78} +(-0.170998 + 0.384067i) q^{79} +(-1.50772 - 1.65129i) q^{80} +(4.47814 + 4.97348i) q^{81} +(-2.30852 - 2.85079i) q^{82} +(1.16214 + 7.33745i) q^{83} +(3.84220 + 1.33927i) q^{84} +(0.710941 + 1.37167i) q^{85} +(9.83330 + 4.37807i) q^{86} +(2.09083 + 7.80308i) q^{87} +(-0.695902 + 3.24280i) q^{88} +(2.28526 + 3.95818i) q^{89} +(0.996772 - 1.01071i) q^{90} +(-6.68511 - 1.57006i) q^{91} +(-1.76917 + 0.901437i) q^{92} +(-6.51526 - 8.04568i) q^{93} +(10.8882 - 4.84774i) q^{94} +(0.504703 + 4.50109i) q^{95} +(-1.14289 - 1.02906i) q^{96} +(-1.12547 + 7.10596i) q^{97} +(1.52298 + 6.83232i) q^{98} +(-2.07895 - 0.333438i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.358368 + 0.933580i 0.253404 + 0.660141i
\(3\) −0.837605 1.28980i −0.483592 0.744666i 0.509694 0.860356i \(-0.329759\pi\)
−0.993285 + 0.115690i \(0.963092\pi\)
\(4\) −0.743145 + 0.669131i −0.371572 + 0.334565i
\(5\) 1.48465 1.67207i 0.663955 0.747773i
\(6\) 0.903960 1.24419i 0.369040 0.507940i
\(7\) 2.63859 + 0.194548i 0.997293 + 0.0735322i
\(8\) −0.891007 0.453990i −0.315018 0.160510i
\(9\) 0.258211 0.579952i 0.0860705 0.193317i
\(10\) 2.09306 + 0.786822i 0.661884 + 0.248815i
\(11\) −0.852145 3.20528i −0.256931 0.966430i
\(12\) 1.48551 + 0.398040i 0.428829 + 0.114904i
\(13\) −2.56353 0.406023i −0.710995 0.112611i −0.209547 0.977798i \(-0.567199\pi\)
−0.501448 + 0.865188i \(0.667199\pi\)
\(14\) 0.763960 + 2.53305i 0.204177 + 0.676987i
\(15\) −3.40018 0.514363i −0.877924 0.132808i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) −0.247607 + 0.645039i −0.0600536 + 0.156445i −0.960324 0.278885i \(-0.910035\pi\)
0.900271 + 0.435330i \(0.143368\pi\)
\(18\) 0.633967 + 0.0332248i 0.149427 + 0.00783116i
\(19\) −1.35537 + 1.50529i −0.310942 + 0.345336i −0.878278 0.478150i \(-0.841307\pi\)
0.567336 + 0.823486i \(0.307974\pi\)
\(20\) 0.0155247 + 2.23601i 0.00347142 + 0.499988i
\(21\) −1.95917 3.56620i −0.427525 0.778209i
\(22\) 2.68701 1.94422i 0.572872 0.414508i
\(23\) 1.91793 + 0.513907i 0.399916 + 0.107157i 0.453171 0.891424i \(-0.350293\pi\)
−0.0532547 + 0.998581i \(0.516960\pi\)
\(24\) 0.160755 + 1.52948i 0.0328140 + 0.312205i
\(25\) −0.591638 4.96487i −0.118328 0.992975i
\(26\) −0.539631 2.53877i −0.105830 0.497893i
\(27\) −5.52122 + 0.874476i −1.06256 + 0.168293i
\(28\) −2.09103 + 1.62098i −0.395168 + 0.306337i
\(29\) −4.99572 1.62321i −0.927682 0.301422i −0.194068 0.980988i \(-0.562168\pi\)
−0.733614 + 0.679566i \(0.762168\pi\)
\(30\) −0.738317 3.35868i −0.134798 0.613207i
\(31\) 6.69489 0.703662i 1.20244 0.126381i 0.517954 0.855409i \(-0.326694\pi\)
0.684485 + 0.729027i \(0.260027\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) −3.42041 + 3.78386i −0.595417 + 0.658685i
\(34\) −0.690930 −0.118494
\(35\) 4.24267 4.12307i 0.717143 0.696926i
\(36\) 0.196175 + 0.603766i 0.0326959 + 0.100628i
\(37\) −0.790201 0.513163i −0.129908 0.0843634i 0.478049 0.878333i \(-0.341344\pi\)
−0.607957 + 0.793970i \(0.708011\pi\)
\(38\) −1.89102 0.725896i −0.306765 0.117756i
\(39\) 1.62354 + 3.64652i 0.259974 + 0.583911i
\(40\) −2.08194 + 0.815809i −0.329183 + 0.128991i
\(41\) −3.48874 + 1.13356i −0.544850 + 0.177033i −0.568493 0.822688i \(-0.692473\pi\)
0.0236432 + 0.999720i \(0.492473\pi\)
\(42\) 2.62723 3.10705i 0.405391 0.479429i
\(43\) 7.61122 7.61122i 1.16070 1.16070i 0.176377 0.984323i \(-0.443562\pi\)
0.984323 0.176377i \(-0.0564379\pi\)
\(44\) 2.77802 + 1.81179i 0.418802 + 0.273138i
\(45\) −0.586368 1.29277i −0.0874106 0.192715i
\(46\) 0.207550 + 1.97471i 0.0306016 + 0.291155i
\(47\) −0.623773 11.9023i −0.0909866 1.73613i −0.539179 0.842191i \(-0.681265\pi\)
0.448192 0.893937i \(-0.352068\pi\)
\(48\) −1.37029 + 0.698196i −0.197784 + 0.100776i
\(49\) 6.92430 + 1.02666i 0.989186 + 0.146666i
\(50\) 4.42308 2.33159i 0.625519 0.329737i
\(51\) 1.03937 0.220924i 0.145541 0.0309356i
\(52\) 2.17676 1.41360i 0.301862 0.196031i
\(53\) 9.76349 + 7.90632i 1.34112 + 1.08602i 0.988657 + 0.150189i \(0.0479884\pi\)
0.352461 + 0.935827i \(0.385345\pi\)
\(54\) −2.79502 4.84112i −0.380355 0.658793i
\(55\) −6.62460 3.33387i −0.893260 0.449540i
\(56\) −2.26268 1.37124i −0.302363 0.183239i
\(57\) 3.07678 + 0.487314i 0.407529 + 0.0645463i
\(58\) −0.274911 5.24561i −0.0360976 0.688783i
\(59\) −5.73484 6.36919i −0.746613 0.829198i 0.243437 0.969917i \(-0.421725\pi\)
−0.990050 + 0.140719i \(0.955059\pi\)
\(60\) 2.87100 1.89292i 0.370645 0.244375i
\(61\) −3.98951 0.419314i −0.510804 0.0536876i −0.154379 0.988012i \(-0.549338\pi\)
−0.356425 + 0.934324i \(0.616004\pi\)
\(62\) 3.05616 + 5.99805i 0.388133 + 0.761753i
\(63\) 0.794142 1.48002i 0.100053 0.186465i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) −4.48484 + 3.68360i −0.556276 + 0.456894i
\(66\) −4.75830 1.83722i −0.585706 0.226146i
\(67\) 14.1612 3.79447i 1.73006 0.463568i 0.749864 0.661592i \(-0.230119\pi\)
0.980197 + 0.198024i \(0.0634524\pi\)
\(68\) −0.247607 0.645039i −0.0300268 0.0782224i
\(69\) −0.943630 2.90419i −0.113600 0.349624i
\(70\) 5.36966 + 2.48330i 0.641797 + 0.296811i
\(71\) −1.72082 1.25025i −0.204223 0.148377i 0.480973 0.876735i \(-0.340284\pi\)
−0.685196 + 0.728359i \(0.740284\pi\)
\(72\) −0.493361 + 0.399516i −0.0581432 + 0.0470834i
\(73\) −0.498810 + 9.51787i −0.0583813 + 1.11398i 0.799677 + 0.600430i \(0.205004\pi\)
−0.858059 + 0.513552i \(0.828329\pi\)
\(74\) 0.195896 0.921617i 0.0227724 0.107136i
\(75\) −5.90813 + 4.92170i −0.682212 + 0.568309i
\(76\) 2.02556i 0.232348i
\(77\) −1.62488 8.62321i −0.185172 0.982706i
\(78\) −2.82250 + 2.82250i −0.319585 + 0.319585i
\(79\) −0.170998 + 0.384067i −0.0192387 + 0.0432109i −0.922909 0.385017i \(-0.874195\pi\)
0.903671 + 0.428228i \(0.140862\pi\)
\(80\) −1.50772 1.65129i −0.168569 0.184620i
\(81\) 4.47814 + 4.97348i 0.497571 + 0.552608i
\(82\) −2.30852 2.85079i −0.254934 0.314817i
\(83\) 1.16214 + 7.33745i 0.127561 + 0.805390i 0.965648 + 0.259853i \(0.0836741\pi\)
−0.838087 + 0.545537i \(0.816326\pi\)
\(84\) 3.84220 + 1.33927i 0.419218 + 0.146126i
\(85\) 0.710941 + 1.37167i 0.0771123 + 0.148779i
\(86\) 9.83330 + 4.37807i 1.06035 + 0.472099i
\(87\) 2.09083 + 7.80308i 0.224160 + 0.836578i
\(88\) −0.695902 + 3.24280i −0.0741834 + 0.345683i
\(89\) 2.28526 + 3.95818i 0.242237 + 0.419566i 0.961351 0.275326i \(-0.0887857\pi\)
−0.719114 + 0.694892i \(0.755452\pi\)
\(90\) 0.996772 1.01071i 0.105069 0.106538i
\(91\) −6.68511 1.57006i −0.700790 0.164587i
\(92\) −1.76917 + 0.901437i −0.184449 + 0.0939813i
\(93\) −6.51526 8.04568i −0.675601 0.834298i
\(94\) 10.8882 4.84774i 1.12303 0.500007i
\(95\) 0.504703 + 4.50109i 0.0517814 + 0.461802i
\(96\) −1.14289 1.02906i −0.116646 0.105028i
\(97\) −1.12547 + 7.10596i −0.114275 + 0.721501i 0.862312 + 0.506377i \(0.169016\pi\)
−0.976587 + 0.215124i \(0.930984\pi\)
\(98\) 1.52298 + 6.83232i 0.153844 + 0.690168i
\(99\) −2.07895 0.333438i −0.208942 0.0335118i
\(100\) 3.76182 + 3.29374i 0.376182 + 0.329374i
\(101\) −7.50242 + 0.788536i −0.746518 + 0.0784622i −0.470146 0.882588i \(-0.655799\pi\)
−0.276372 + 0.961051i \(0.589132\pi\)
\(102\) 0.578727 + 0.891161i 0.0573025 + 0.0882381i
\(103\) 3.38675 + 2.19938i 0.333707 + 0.216712i 0.700605 0.713549i \(-0.252914\pi\)
−0.366898 + 0.930261i \(0.619580\pi\)
\(104\) 2.09979 + 1.52559i 0.205901 + 0.149596i
\(105\) −8.87162 2.01869i −0.865781 0.197004i
\(106\) −3.88226 + 11.9484i −0.377079 + 1.16053i
\(107\) −8.65895 + 0.453796i −0.837092 + 0.0438702i −0.466064 0.884751i \(-0.654328\pi\)
−0.371029 + 0.928621i \(0.620995\pi\)
\(108\) 3.51793 4.34428i 0.338513 0.418029i
\(109\) 3.41695 + 1.97277i 0.327284 + 0.188958i 0.654635 0.755945i \(-0.272822\pi\)
−0.327351 + 0.944903i \(0.606156\pi\)
\(110\) 0.738397 7.37935i 0.0704034 0.703593i
\(111\) 1.44903i 0.137536i
\(112\) 0.469290 2.60380i 0.0443437 0.246036i
\(113\) 5.61742 + 2.86222i 0.528443 + 0.269255i 0.697791 0.716301i \(-0.254166\pi\)
−0.169349 + 0.985556i \(0.554166\pi\)
\(114\) 0.647672 + 3.04706i 0.0606600 + 0.285383i
\(115\) 3.70674 2.44394i 0.345655 0.227899i
\(116\) 4.79868 2.13651i 0.445547 0.198370i
\(117\) −0.897407 + 1.38189i −0.0829653 + 0.127755i
\(118\) 3.89096 7.63645i 0.358192 0.702992i
\(119\) −0.778824 + 1.65382i −0.0713947 + 0.151605i
\(120\) 2.79607 + 2.00195i 0.255245 + 0.182752i
\(121\) −9.54770 + 5.46273i −0.867973 + 0.496612i
\(122\) −1.03825 3.87479i −0.0939985 0.350807i
\(123\) 4.38425 + 3.55030i 0.395315 + 0.320120i
\(124\) −4.50443 + 5.00268i −0.404510 + 0.449254i
\(125\) −9.17999 6.38183i −0.821083 0.570808i
\(126\) 1.66631 + 0.211003i 0.148447 + 0.0187977i
\(127\) 2.21034 + 13.9555i 0.196136 + 1.23835i 0.867579 + 0.497299i \(0.165675\pi\)
−0.671443 + 0.741056i \(0.734325\pi\)
\(128\) −0.544639 + 0.838671i −0.0481397 + 0.0741287i
\(129\) −16.1921 3.44174i −1.42564 0.303029i
\(130\) −5.04616 2.86687i −0.442577 0.251441i
\(131\) −1.74873 + 1.00963i −0.152787 + 0.0882117i −0.574444 0.818544i \(-0.694782\pi\)
0.421657 + 0.906755i \(0.361449\pi\)
\(132\) 0.00996589 5.10066i 0.000867420 0.443955i
\(133\) −3.86910 + 3.70815i −0.335494 + 0.321537i
\(134\) 8.61735 + 11.8608i 0.744426 + 1.02461i
\(135\) −6.73489 + 10.5302i −0.579647 + 0.906292i
\(136\) 0.513461 0.462322i 0.0440289 0.0396438i
\(137\) 18.9524 + 7.27515i 1.61921 + 0.621558i 0.988056 0.154096i \(-0.0492467\pi\)
0.631158 + 0.775654i \(0.282580\pi\)
\(138\) 2.37313 1.92172i 0.202014 0.163588i
\(139\) −3.83701 + 11.8091i −0.325451 + 1.00163i 0.645786 + 0.763519i \(0.276530\pi\)
−0.971237 + 0.238116i \(0.923470\pi\)
\(140\) −0.394048 + 5.90294i −0.0333032 + 0.498890i
\(141\) −14.8291 + 10.7740i −1.24883 + 0.907332i
\(142\) 0.550520 2.05457i 0.0461986 0.172416i
\(143\) 0.883078 + 8.56283i 0.0738467 + 0.716060i
\(144\) −0.549785 0.317418i −0.0458154 0.0264515i
\(145\) −10.1310 + 5.94330i −0.841335 + 0.493565i
\(146\) −9.06445 + 2.94522i −0.750179 + 0.243748i
\(147\) −4.47564 9.79089i −0.369145 0.807539i
\(148\) 0.930607 0.147394i 0.0764954 0.0121157i
\(149\) −16.0586 1.68783i −1.31557 0.138272i −0.579386 0.815053i \(-0.696708\pi\)
−0.736185 + 0.676781i \(0.763374\pi\)
\(150\) −6.71208 3.75193i −0.548039 0.306344i
\(151\) 15.3470 + 3.26210i 1.24892 + 0.265466i 0.784488 0.620144i \(-0.212926\pi\)
0.464430 + 0.885610i \(0.346259\pi\)
\(152\) 1.89102 0.725896i 0.153382 0.0588780i
\(153\) 0.310157 + 0.310157i 0.0250747 + 0.0250747i
\(154\) 7.46816 4.60724i 0.601801 0.371262i
\(155\) 8.76299 12.2390i 0.703861 0.983062i
\(156\) −3.64652 1.62354i −0.291956 0.129987i
\(157\) −7.21661 + 4.68652i −0.575948 + 0.374025i −0.799499 0.600667i \(-0.794902\pi\)
0.223551 + 0.974692i \(0.428235\pi\)
\(158\) −0.419838 0.0220028i −0.0334005 0.00175045i
\(159\) 2.01961 19.2153i 0.160165 1.52387i
\(160\) 1.00130 1.99935i 0.0791594 0.158063i
\(161\) 4.96065 + 1.72912i 0.390954 + 0.136274i
\(162\) −3.03832 + 5.96304i −0.238713 + 0.468500i
\(163\) −3.81253 + 1.46349i −0.298621 + 0.114630i −0.503065 0.864248i \(-0.667794\pi\)
0.204445 + 0.978878i \(0.434461\pi\)
\(164\) 1.83414 3.17682i 0.143222 0.248068i
\(165\) 1.24877 + 11.3369i 0.0972165 + 0.882574i
\(166\) −6.43363 + 3.71446i −0.499346 + 0.288298i
\(167\) 2.34312 14.7939i 0.181316 1.14478i −0.714262 0.699878i \(-0.753238\pi\)
0.895578 0.444905i \(-0.146762\pi\)
\(168\) 0.126609 + 4.06695i 0.00976811 + 0.313772i
\(169\) −5.95691 1.93552i −0.458224 0.148886i
\(170\) −1.02579 + 1.15528i −0.0786744 + 0.0886062i
\(171\) 0.523023 + 1.17473i 0.0399966 + 0.0898338i
\(172\) −0.563338 + 10.7491i −0.0429542 + 0.819614i
\(173\) 21.1493 1.10839i 1.60795 0.0842692i 0.772932 0.634489i \(-0.218789\pi\)
0.835020 + 0.550220i \(0.185456\pi\)
\(174\) −6.53552 + 4.74833i −0.495456 + 0.359970i
\(175\) −0.595185 13.2154i −0.0449918 0.998987i
\(176\) −3.27680 + 0.512433i −0.246998 + 0.0386261i
\(177\) −3.41144 + 12.7317i −0.256419 + 0.956970i
\(178\) −2.87632 + 3.55195i −0.215589 + 0.266230i
\(179\) 2.50026 11.7628i 0.186878 0.879193i −0.780361 0.625329i \(-0.784965\pi\)
0.967240 0.253865i \(-0.0817017\pi\)
\(180\) 1.30079 + 0.568361i 0.0969552 + 0.0423631i
\(181\) 6.58139 9.05850i 0.489191 0.673313i −0.491048 0.871133i \(-0.663386\pi\)
0.980238 + 0.197819i \(0.0633860\pi\)
\(182\) −0.929954 6.80375i −0.0689328 0.504327i
\(183\) 2.80080 + 5.49688i 0.207041 + 0.406341i
\(184\) −1.47558 1.32862i −0.108781 0.0979469i
\(185\) −2.03121 + 0.559406i −0.149338 + 0.0411283i
\(186\) 5.17643 8.96583i 0.379554 0.657407i
\(187\) 2.27853 + 0.243985i 0.166623 + 0.0178420i
\(188\) 8.42775 + 8.42775i 0.614657 + 0.614657i
\(189\) −14.7384 + 1.23324i −1.07206 + 0.0897051i
\(190\) −4.02126 + 2.08423i −0.291733 + 0.151206i
\(191\) 18.6278 3.95946i 1.34786 0.286497i 0.523242 0.852184i \(-0.324722\pi\)
0.824620 + 0.565687i \(0.191389\pi\)
\(192\) 0.551137 1.43576i 0.0397749 0.103617i
\(193\) −4.64356 + 12.0969i −0.334251 + 0.870753i 0.658719 + 0.752389i \(0.271098\pi\)
−0.992970 + 0.118364i \(0.962235\pi\)
\(194\) −7.03732 + 1.49583i −0.505250 + 0.107394i
\(195\) 8.50763 + 2.69914i 0.609244 + 0.193289i
\(196\) −5.83273 + 3.87030i −0.416624 + 0.276450i
\(197\) 7.62041 + 7.62041i 0.542931 + 0.542931i 0.924387 0.381456i \(-0.124577\pi\)
−0.381456 + 0.924387i \(0.624577\pi\)
\(198\) −0.433737 2.06036i −0.0308243 0.146423i
\(199\) 8.53451 14.7822i 0.604995 1.04788i −0.387057 0.922056i \(-0.626508\pi\)
0.992052 0.125827i \(-0.0401584\pi\)
\(200\) −1.72685 + 4.69233i −0.122107 + 0.331798i
\(201\) −16.7556 15.0868i −1.18185 1.06414i
\(202\) −3.42479 6.72152i −0.240967 0.472925i
\(203\) −12.8659 5.25489i −0.903007 0.368821i
\(204\) −0.624573 + 0.859651i −0.0437289 + 0.0601876i
\(205\) −3.28416 + 7.51636i −0.229376 + 0.524966i
\(206\) −0.839598 + 3.95000i −0.0584975 + 0.275209i
\(207\) 0.793273 0.979611i 0.0551363 0.0680876i
\(208\) −0.671761 + 2.50705i −0.0465782 + 0.173832i
\(209\) 5.97984 + 3.06161i 0.413634 + 0.211776i
\(210\) −1.29469 9.00580i −0.0893423 0.621459i
\(211\) −9.02439 + 6.55660i −0.621265 + 0.451375i −0.853363 0.521317i \(-0.825441\pi\)
0.232098 + 0.972692i \(0.425441\pi\)
\(212\) −12.5460 + 0.657510i −0.861666 + 0.0451580i
\(213\) −0.171201 + 3.26672i −0.0117305 + 0.223832i
\(214\) −3.52675 7.92120i −0.241083 0.541482i
\(215\) −1.42651 24.0265i −0.0972871 1.63859i
\(216\) 5.31645 + 1.72742i 0.361739 + 0.117536i
\(217\) 17.8020 0.554197i 1.20848 0.0376213i
\(218\) −0.617220 + 3.89697i −0.0418034 + 0.263936i
\(219\) 12.6939 7.32885i 0.857777 0.495238i
\(220\) 7.15383 1.95517i 0.482311 0.131817i
\(221\) 0.896649 1.55304i 0.0603151 0.104469i
\(222\) −1.35278 + 0.519285i −0.0907929 + 0.0348521i
\(223\) −11.9839 + 23.5197i −0.802502 + 1.57500i 0.0155675 + 0.999879i \(0.495045\pi\)
−0.818069 + 0.575120i \(0.804955\pi\)
\(224\) 2.59903 0.494998i 0.173655 0.0330735i
\(225\) −3.03216 0.938865i −0.202144 0.0625910i
\(226\) −0.659008 + 6.27004i −0.0438366 + 0.417077i
\(227\) 26.0307 + 1.36421i 1.72772 + 0.0905458i 0.890116 0.455735i \(-0.150623\pi\)
0.837602 + 0.546281i \(0.183957\pi\)
\(228\) −2.61257 + 1.69662i −0.173021 + 0.112361i
\(229\) 3.32541 + 1.48057i 0.219750 + 0.0978388i 0.513659 0.857995i \(-0.328290\pi\)
−0.293909 + 0.955833i \(0.594956\pi\)
\(230\) 3.60999 + 2.58471i 0.238036 + 0.170431i
\(231\) −9.76120 + 9.31861i −0.642240 + 0.613120i
\(232\) 3.71430 + 3.71430i 0.243856 + 0.243856i
\(233\) 10.8763 4.17501i 0.712528 0.273514i 0.0250162 0.999687i \(-0.492036\pi\)
0.687512 + 0.726173i \(0.258703\pi\)
\(234\) −1.61170 0.342578i −0.105360 0.0223950i
\(235\) −20.8276 16.6277i −1.35864 1.08467i
\(236\) 8.52364 + 0.895870i 0.554841 + 0.0583162i
\(237\) 0.638598 0.101144i 0.0414814 0.00657000i
\(238\) −1.82308 0.134419i −0.118173 0.00871309i
\(239\) −5.66665 + 1.84121i −0.366545 + 0.119098i −0.486498 0.873682i \(-0.661726\pi\)
0.119952 + 0.992780i \(0.461726\pi\)
\(240\) −0.866961 + 3.32779i −0.0559621 + 0.214808i
\(241\) −10.2302 5.90639i −0.658983 0.380464i 0.132906 0.991129i \(-0.457569\pi\)
−0.791889 + 0.610665i \(0.790902\pi\)
\(242\) −8.52149 6.95588i −0.547782 0.447141i
\(243\) −1.67656 + 6.25701i −0.107551 + 0.401387i
\(244\) 3.24536 2.35789i 0.207763 0.150948i
\(245\) 11.9968 10.0537i 0.766448 0.642306i
\(246\) −1.74331 + 5.36537i −0.111150 + 0.342083i
\(247\) 4.08570 3.30853i 0.259967 0.210517i
\(248\) −6.28465 2.41245i −0.399076 0.153191i
\(249\) 8.49042 7.64481i 0.538059 0.484470i
\(250\) 2.66814 10.8573i 0.168748 0.686676i
\(251\) 4.74926 + 6.53680i 0.299771 + 0.412599i 0.932157 0.362054i \(-0.117924\pi\)
−0.632386 + 0.774653i \(0.717924\pi\)
\(252\) 0.400165 + 1.63126i 0.0252080 + 0.102759i
\(253\) 0.0128669 6.58543i 0.000808936 0.414023i
\(254\) −12.2365 + 7.06475i −0.767787 + 0.443282i
\(255\) 1.17369 2.06589i 0.0734996 0.129371i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −0.216457 + 0.333315i −0.0135022 + 0.0207916i −0.845357 0.534201i \(-0.820612\pi\)
0.831855 + 0.554993i \(0.187279\pi\)
\(258\) −2.58960 16.3501i −0.161221 1.01791i
\(259\) −1.98518 1.50776i −0.123353 0.0936875i
\(260\) 0.868076 5.73839i 0.0538358 0.355880i
\(261\) −2.23134 + 2.47815i −0.138116 + 0.153394i
\(262\) −1.56926 1.27076i −0.0969491 0.0785078i
\(263\) −5.89658 22.0063i −0.363599 1.35697i −0.869311 0.494266i \(-0.835437\pi\)
0.505712 0.862702i \(-0.331230\pi\)
\(264\) 4.76544 1.81861i 0.293293 0.111928i
\(265\) 27.7153 4.58714i 1.70253 0.281786i
\(266\) −4.84842 2.28324i −0.297275 0.139994i
\(267\) 3.19111 6.26291i 0.195293 0.383284i
\(268\) −7.98480 + 12.2955i −0.487749 + 0.751068i
\(269\) −17.8333 + 7.93990i −1.08732 + 0.484105i −0.870530 0.492115i \(-0.836224\pi\)
−0.216786 + 0.976219i \(0.569557\pi\)
\(270\) −12.2443 2.51389i −0.745166 0.152990i
\(271\) 3.57115 + 16.8010i 0.216932 + 1.02059i 0.942956 + 0.332916i \(0.108033\pi\)
−0.726024 + 0.687669i \(0.758634\pi\)
\(272\) 0.615623 + 0.313676i 0.0373276 + 0.0190194i
\(273\) 3.57442 + 9.93753i 0.216334 + 0.601447i
\(274\) 20.3008i 1.22641i
\(275\) −15.4097 + 6.12716i −0.929238 + 0.369482i
\(276\) 2.64454 + 1.52682i 0.159183 + 0.0919041i
\(277\) −15.9834 + 19.7379i −0.960352 + 1.18594i 0.0221629 + 0.999754i \(0.492945\pi\)
−0.982515 + 0.186182i \(0.940389\pi\)
\(278\) −12.3998 + 0.649846i −0.743691 + 0.0389752i
\(279\) 1.32061 4.06441i 0.0790627 0.243330i
\(280\) −5.65209 + 1.74755i −0.337777 + 0.104436i
\(281\) 2.55805 + 1.85853i 0.152600 + 0.110871i 0.661465 0.749976i \(-0.269935\pi\)
−0.508865 + 0.860846i \(0.669935\pi\)
\(282\) −15.3726 9.98311i −0.915427 0.594485i
\(283\) 0.810682 + 1.24834i 0.0481900 + 0.0742061i 0.861944 0.507003i \(-0.169247\pi\)
−0.813754 + 0.581209i \(0.802580\pi\)
\(284\) 2.11539 0.222337i 0.125526 0.0131933i
\(285\) 5.38275 4.42110i 0.318847 0.261883i
\(286\) −7.67763 + 3.89307i −0.453987 + 0.230202i
\(287\) −9.42589 + 2.31227i −0.556393 + 0.136489i
\(288\) 0.0993104 0.627021i 0.00585192 0.0369476i
\(289\) 12.2787 + 11.0558i 0.722276 + 0.650340i
\(290\) −9.17918 7.32822i −0.539020 0.430328i
\(291\) 10.1080 4.50036i 0.592539 0.263816i
\(292\) −5.99801 7.40692i −0.351007 0.433457i
\(293\) −11.7900 + 6.00733i −0.688782 + 0.350952i −0.763098 0.646283i \(-0.776323\pi\)
0.0743161 + 0.997235i \(0.476323\pi\)
\(294\) 7.53666 7.68711i 0.439547 0.448322i
\(295\) −19.1640 + 0.133055i −1.11577 + 0.00774678i
\(296\) 0.471103 + 0.815975i 0.0273823 + 0.0474276i
\(297\) 7.50783 + 16.9519i 0.435648 + 0.983650i
\(298\) −4.17916 15.5968i −0.242092 0.903501i
\(299\) −4.70801 2.09614i −0.272271 0.121223i
\(300\) 1.09734 7.61084i 0.0633547 0.439412i
\(301\) 21.5636 18.6021i 1.24291 1.07221i
\(302\) 2.45443 + 15.4967i 0.141236 + 0.891732i
\(303\) 7.30112 + 9.01613i 0.419438 + 0.517963i
\(304\) 1.35537 + 1.50529i 0.0777355 + 0.0863341i
\(305\) −6.62414 + 6.04820i −0.379297 + 0.346319i
\(306\) −0.178406 + 0.400707i −0.0101988 + 0.0229069i
\(307\) 6.68874 6.68874i 0.381747 0.381747i −0.489984 0.871731i \(-0.662998\pi\)
0.871731 + 0.489984i \(0.162998\pi\)
\(308\) 6.97757 + 5.32104i 0.397584 + 0.303194i
\(309\) 6.21045i 0.353300i
\(310\) 14.5665 + 3.79488i 0.827321 + 0.215535i
\(311\) −0.531955 + 2.50265i −0.0301644 + 0.141912i −0.990653 0.136408i \(-0.956444\pi\)
0.960488 + 0.278320i \(0.0897776\pi\)
\(312\) 0.208905 3.98615i 0.0118269 0.225671i
\(313\) −6.33410 + 5.12925i −0.358024 + 0.289922i −0.791409 0.611286i \(-0.790652\pi\)
0.433385 + 0.901209i \(0.357319\pi\)
\(314\) −6.96144 5.05778i −0.392857 0.285427i
\(315\) −1.29568 3.52517i −0.0730032 0.198621i
\(316\) −0.129915 0.399837i −0.00730829 0.0224926i
\(317\) −2.57339 6.70390i −0.144536 0.376529i 0.842133 0.539270i \(-0.181300\pi\)
−0.986669 + 0.162741i \(0.947966\pi\)
\(318\) 18.6628 5.00068i 1.04656 0.280424i
\(319\) −0.945767 + 17.3959i −0.0529528 + 0.973984i
\(320\) 2.22539 + 0.218288i 0.124403 + 0.0122026i
\(321\) 7.83809 + 10.7882i 0.437479 + 0.602139i
\(322\) 0.163465 + 5.25082i 0.00910952 + 0.292617i
\(323\) −0.635369 1.24698i −0.0353529 0.0693840i
\(324\) −6.65581 0.699554i −0.369767 0.0388641i
\(325\) −0.499171 + 12.9678i −0.0276890 + 0.719325i
\(326\) −2.73258 3.03484i −0.151344 0.168084i
\(327\) −0.317569 6.05958i −0.0175616 0.335095i
\(328\) 3.62312 + 0.573846i 0.200053 + 0.0316853i
\(329\) 0.669686 31.5266i 0.0369210 1.73812i
\(330\) −10.1364 + 5.22860i −0.557988 + 0.287825i
\(331\) 3.15630 + 5.46686i 0.173486 + 0.300486i 0.939636 0.342175i \(-0.111164\pi\)
−0.766150 + 0.642661i \(0.777830\pi\)
\(332\) −5.77335 4.67517i −0.316854 0.256583i
\(333\) −0.501649 + 0.325775i −0.0274902 + 0.0178523i
\(334\) 14.6510 3.11416i 0.801664 0.170399i
\(335\) 14.6797 29.3119i 0.802039 1.60148i
\(336\) −3.75146 + 1.57567i −0.204659 + 0.0859596i
\(337\) 21.2052 10.8046i 1.15512 0.588563i 0.231864 0.972748i \(-0.425518\pi\)
0.923256 + 0.384185i \(0.125518\pi\)
\(338\) −0.327804 6.25488i −0.0178302 0.340221i
\(339\) −1.01349 9.64275i −0.0550455 0.523723i
\(340\) −1.44616 0.543639i −0.0784290 0.0294830i
\(341\) −7.96046 20.8594i −0.431083 1.12960i
\(342\) −0.909270 + 0.909270i −0.0491677 + 0.0491677i
\(343\) 18.0707 + 4.05605i 0.975723 + 0.219006i
\(344\) −10.2371 + 3.32622i −0.551946 + 0.179338i
\(345\) −6.25697 2.73389i −0.336864 0.147188i
\(346\) 8.61400 + 19.3474i 0.463092 + 1.04012i
\(347\) 31.5873 + 12.1252i 1.69569 + 0.650916i 0.997863 0.0653460i \(-0.0208151\pi\)
0.697831 + 0.716262i \(0.254148\pi\)
\(348\) −6.77507 4.39978i −0.363182 0.235853i
\(349\) −2.15403 6.62944i −0.115303 0.354866i 0.876707 0.481024i \(-0.159735\pi\)
−0.992010 + 0.126159i \(0.959735\pi\)
\(350\) 12.1243 5.29161i 0.648071 0.282849i
\(351\) 14.5089 0.774427
\(352\) −1.65270 2.87552i −0.0880891 0.153266i
\(353\) −29.3344 + 7.86013i −1.56131 + 0.418352i −0.933079 0.359672i \(-0.882889\pi\)
−0.628234 + 0.778025i \(0.716222\pi\)
\(354\) −13.1086 + 1.37777i −0.696713 + 0.0732275i
\(355\) −4.64531 + 1.02115i −0.246547 + 0.0541970i
\(356\) −4.34681 1.41237i −0.230381 0.0748552i
\(357\) 2.78544 0.380722i 0.147421 0.0201499i
\(358\) 11.8775 1.88122i 0.627747 0.0994254i
\(359\) −6.41453 30.1780i −0.338546 1.59273i −0.737228 0.675645i \(-0.763865\pi\)
0.398682 0.917089i \(-0.369468\pi\)
\(360\) −0.0644490 + 1.41807i −0.00339676 + 0.0747391i
\(361\) 1.55717 + 14.8155i 0.0819564 + 0.779763i
\(362\) 10.8154 + 2.89798i 0.568445 + 0.152314i
\(363\) 15.0430 + 7.73900i 0.789554 + 0.406192i
\(364\) 6.01858 3.30643i 0.315459 0.173304i
\(365\) 15.1740 + 14.9647i 0.794243 + 0.783290i
\(366\) −4.12806 + 4.58468i −0.215777 + 0.239645i
\(367\) 34.6893 + 1.81799i 1.81077 + 0.0948982i 0.927466 0.373909i \(-0.121983\pi\)
0.883301 + 0.468807i \(0.155316\pi\)
\(368\) 0.711570 1.85370i 0.0370932 0.0966310i
\(369\) −0.243422 + 2.31600i −0.0126720 + 0.120566i
\(370\) −1.25017 1.69583i −0.0649934 0.0881620i
\(371\) 24.2237 + 22.7610i 1.25763 + 1.18169i
\(372\) 10.2254 + 1.61954i 0.530162 + 0.0839694i
\(373\) −11.5327 3.09017i −0.597139 0.160003i −0.0524248 0.998625i \(-0.516695\pi\)
−0.544714 + 0.838622i \(0.683362\pi\)
\(374\) 0.588772 + 2.21463i 0.0304447 + 0.114516i
\(375\) −0.542068 + 17.1858i −0.0279923 + 0.887471i
\(376\) −4.84774 + 10.8882i −0.250003 + 0.561517i
\(377\) 12.1476 + 6.18952i 0.625634 + 0.318777i
\(378\) −6.43309 13.3175i −0.330882 0.684978i
\(379\) −4.21141 + 5.79650i −0.216325 + 0.297746i −0.903364 0.428874i \(-0.858910\pi\)
0.687039 + 0.726621i \(0.258910\pi\)
\(380\) −3.38688 3.00725i −0.173743 0.154269i
\(381\) 16.1485 14.5401i 0.827310 0.744914i
\(382\) 10.3721 + 15.9716i 0.530682 + 0.817179i
\(383\) −0.695107 1.81082i −0.0355183 0.0925284i 0.914674 0.404192i \(-0.132447\pi\)
−0.950193 + 0.311663i \(0.899114\pi\)
\(384\) 1.53791 0.0784811
\(385\) −16.8310 10.0855i −0.857787 0.514006i
\(386\) −12.9575 −0.659521
\(387\) −2.44884 6.37945i −0.124482 0.324286i
\(388\) −3.91843 6.03385i −0.198928 0.306322i
\(389\) 6.40493 5.76702i 0.324743 0.292400i −0.490592 0.871389i \(-0.663219\pi\)
0.815335 + 0.578990i \(0.196553\pi\)
\(390\) 0.528998 + 8.90984i 0.0267869 + 0.451167i
\(391\) −0.806383 + 1.10989i −0.0407805 + 0.0561296i
\(392\) −5.70350 4.05833i −0.288070 0.204977i
\(393\) 2.76696 + 1.40984i 0.139575 + 0.0711169i
\(394\) −4.38335 + 9.84517i −0.220830 + 0.495993i
\(395\) 0.388316 + 0.856125i 0.0195383 + 0.0430763i
\(396\) 1.76807 1.14329i 0.0888489 0.0574527i
\(397\) −2.92465 0.783657i −0.146784 0.0393306i 0.184679 0.982799i \(-0.440875\pi\)
−0.331463 + 0.943468i \(0.607542\pi\)
\(398\) 16.8589 + 2.67018i 0.845059 + 0.133844i
\(399\) 8.02354 + 1.88440i 0.401680 + 0.0943380i
\(400\) −4.99952 + 0.0694267i −0.249976 + 0.00347133i
\(401\) −2.31036 + 21.9816i −0.115374 + 1.09771i 0.771670 + 0.636023i \(0.219422\pi\)
−0.887044 + 0.461685i \(0.847245\pi\)
\(402\) 8.08006 21.0493i 0.402997 1.04984i
\(403\) −17.4483 0.914425i −0.869160 0.0455507i
\(404\) 5.04775 5.60609i 0.251135 0.278914i
\(405\) 14.9645 0.103898i 0.743590 0.00516275i
\(406\) 0.295146 13.8945i 0.0146478 0.689573i
\(407\) −0.971467 + 2.97011i −0.0481538 + 0.147223i
\(408\) −1.02638 0.275018i −0.0508134 0.0136154i
\(409\) 3.35610 + 31.9312i 0.165948 + 1.57889i 0.687827 + 0.725874i \(0.258565\pi\)
−0.521879 + 0.853020i \(0.674769\pi\)
\(410\) −8.19407 0.372406i −0.404676 0.0183918i
\(411\) −6.49116 30.5385i −0.320185 1.50635i
\(412\) −3.98852 + 0.631720i −0.196501 + 0.0311226i
\(413\) −13.8928 17.9214i −0.683619 0.881853i
\(414\) 1.19883 + 0.389523i 0.0589192 + 0.0191440i
\(415\) 13.9941 + 8.95036i 0.686943 + 0.439356i
\(416\) −2.58127 + 0.271302i −0.126557 + 0.0133017i
\(417\) 18.4453 4.94239i 0.903268 0.242030i
\(418\) −0.715278 + 6.67984i −0.0349854 + 0.326722i
\(419\) −19.3763 −0.946594 −0.473297 0.880903i \(-0.656936\pi\)
−0.473297 + 0.880903i \(0.656936\pi\)
\(420\) 7.94366 4.43609i 0.387611 0.216459i
\(421\) −10.3903 31.9779i −0.506390 1.55851i −0.798421 0.602100i \(-0.794331\pi\)
0.292030 0.956409i \(-0.405669\pi\)
\(422\) −9.35517 6.07532i −0.455402 0.295742i
\(423\) −7.06383 2.71155i −0.343455 0.131840i
\(424\) −5.10994 11.4771i −0.248161 0.557378i
\(425\) 3.34903 + 0.847709i 0.162452 + 0.0411199i
\(426\) −3.11110 + 1.01086i −0.150733 + 0.0489762i
\(427\) −10.4451 1.88255i −0.505473 0.0911028i
\(428\) 6.13121 6.13121i 0.296363 0.296363i
\(429\) 10.3047 8.31126i 0.497514 0.401272i
\(430\) 21.9194 9.94208i 1.05705 0.479450i
\(431\) 2.40490 + 22.8811i 0.115840 + 1.10214i 0.885805 + 0.464057i \(0.153607\pi\)
−0.769965 + 0.638086i \(0.779726\pi\)
\(432\) 0.292560 + 5.58239i 0.0140758 + 0.268583i
\(433\) 17.8891 9.11497i 0.859697 0.438037i 0.0321825 0.999482i \(-0.489754\pi\)
0.827514 + 0.561445i \(0.189754\pi\)
\(434\) 6.89704 + 16.4210i 0.331069 + 0.788232i
\(435\) 16.1515 + 8.08882i 0.774403 + 0.387829i
\(436\) −3.85933 + 0.820326i −0.184828 + 0.0392865i
\(437\) −3.37307 + 2.19050i −0.161356 + 0.104786i
\(438\) 11.3912 + 9.22439i 0.544291 + 0.440758i
\(439\) 9.79684 + 16.9686i 0.467578 + 0.809868i 0.999314 0.0370420i \(-0.0117935\pi\)
−0.531736 + 0.846910i \(0.678460\pi\)
\(440\) 4.38901 + 5.97801i 0.209238 + 0.284990i
\(441\) 2.38335 3.75067i 0.113493 0.178603i
\(442\) 1.77122 + 0.280534i 0.0842483 + 0.0133436i
\(443\) −0.567605 10.8306i −0.0269677 0.514575i −0.978400 0.206718i \(-0.933722\pi\)
0.951433 0.307857i \(-0.0996117\pi\)
\(444\) −0.969589 1.07684i −0.0460147 0.0511045i
\(445\) 10.0112 + 2.05540i 0.474574 + 0.0974351i
\(446\) −26.2522 2.75922i −1.24308 0.130653i
\(447\) 11.2738 + 22.1261i 0.533232 + 1.04653i
\(448\) 1.39353 + 2.24902i 0.0658382 + 0.106256i
\(449\) −7.51222 10.3397i −0.354524 0.487960i 0.594089 0.804399i \(-0.297513\pi\)
−0.948613 + 0.316439i \(0.897513\pi\)
\(450\) −0.210122 3.16722i −0.00990526 0.149304i
\(451\) 6.60630 + 10.2165i 0.311078 + 0.481074i
\(452\) −6.08976 + 1.63175i −0.286438 + 0.0767509i
\(453\) −8.64724 22.5268i −0.406283 1.05840i
\(454\) 8.05497 + 24.7906i 0.378038 + 1.16348i
\(455\) −12.5503 + 8.84699i −0.588366 + 0.414753i
\(456\) −2.52019 1.83103i −0.118019 0.0857457i
\(457\) 18.0740 14.6361i 0.845467 0.684646i −0.105337 0.994437i \(-0.533592\pi\)
0.950805 + 0.309791i \(0.100259\pi\)
\(458\) −0.190509 + 3.63513i −0.00890191 + 0.169858i
\(459\) 0.803024 3.77793i 0.0374819 0.176339i
\(460\) −1.11933 + 4.29649i −0.0521890 + 0.200325i
\(461\) 20.5337i 0.956348i −0.878265 0.478174i \(-0.841299\pi\)
0.878265 0.478174i \(-0.158701\pi\)
\(462\) −12.1978 5.77337i −0.567492 0.268602i
\(463\) 5.21922 5.21922i 0.242558 0.242558i −0.575350 0.817908i \(-0.695134\pi\)
0.817908 + 0.575350i \(0.195134\pi\)
\(464\) −2.13651 + 4.79868i −0.0991851 + 0.222773i
\(465\) −23.1258 1.05103i −1.07243 0.0487402i
\(466\) 7.79541 + 8.65768i 0.361116 + 0.401059i
\(467\) −19.8603 24.5255i −0.919027 1.13490i −0.990507 0.137462i \(-0.956106\pi\)
0.0714803 0.997442i \(-0.477228\pi\)
\(468\) −0.257759 1.62742i −0.0119149 0.0752277i
\(469\) 38.1037 7.25703i 1.75946 0.335098i
\(470\) 8.05940 25.4031i 0.371752 1.17176i
\(471\) 12.0893 + 5.38252i 0.557047 + 0.248013i
\(472\) 2.21823 + 8.27855i 0.102102 + 0.381051i
\(473\) −30.8820 17.9103i −1.41996 0.823515i
\(474\) 0.323279 + 0.559936i 0.0148487 + 0.0257187i
\(475\) 8.27544 + 5.83863i 0.379703 + 0.267895i
\(476\) −0.527843 1.75016i −0.0241936 0.0802186i
\(477\) 7.10633 3.62086i 0.325377 0.165788i
\(478\) −3.74966 4.63045i −0.171506 0.211792i
\(479\) −16.4019 + 7.30261i −0.749424 + 0.333665i −0.745659 0.666328i \(-0.767865\pi\)
−0.00376496 + 0.999993i \(0.501198\pi\)
\(480\) −3.41745 + 0.383196i −0.155985 + 0.0174904i
\(481\) 1.81735 + 1.63635i 0.0828639 + 0.0746110i
\(482\) 1.84793 11.6673i 0.0841707 0.531433i
\(483\) −1.92485 7.84655i −0.0875835 0.357031i
\(484\) 3.44004 10.4483i 0.156366 0.474921i
\(485\) 10.2107 + 12.4317i 0.463646 + 0.564496i
\(486\) −6.44225 + 0.677107i −0.292226 + 0.0307142i
\(487\) 4.67128 + 7.19314i 0.211676 + 0.325952i 0.928521 0.371280i \(-0.121081\pi\)
−0.716845 + 0.697233i \(0.754414\pi\)
\(488\) 3.36431 + 2.18481i 0.152295 + 0.0989017i
\(489\) 5.08101 + 3.69157i 0.229771 + 0.166939i
\(490\) 13.6852 + 7.59707i 0.618234 + 0.343200i
\(491\) 5.82642 17.9319i 0.262942 0.809254i −0.729218 0.684282i \(-0.760116\pi\)
0.992160 0.124972i \(-0.0398841\pi\)
\(492\) −5.63375 + 0.295252i −0.253989 + 0.0133110i
\(493\) 2.28401 2.82052i 0.102867 0.127030i
\(494\) 4.55297 + 2.62866i 0.204848 + 0.118269i
\(495\) −3.64404 + 2.98111i −0.163787 + 0.133991i
\(496\) 6.73177i 0.302265i
\(497\) −4.29729 3.63367i −0.192760 0.162992i
\(498\) 10.1797 + 5.18684i 0.456165 + 0.232428i
\(499\) 5.11447 + 24.0617i 0.228955 + 1.07715i 0.931001 + 0.365017i \(0.118937\pi\)
−0.702046 + 0.712132i \(0.747730\pi\)
\(500\) 11.0923 1.39999i 0.496065 0.0626094i
\(501\) −21.0437 + 9.36926i −0.940163 + 0.418588i
\(502\) −4.40064 + 6.77640i −0.196410 + 0.302445i
\(503\) 8.66732 17.0106i 0.386457 0.758464i −0.613044 0.790049i \(-0.710055\pi\)
0.999501 + 0.0315843i \(0.0100553\pi\)
\(504\) −1.37950 + 0.958176i −0.0614479 + 0.0426805i
\(505\) −9.81996 + 13.7153i −0.436983 + 0.610321i
\(506\) 6.15264 2.34800i 0.273518 0.104381i
\(507\) 2.49311 + 9.30441i 0.110723 + 0.413223i
\(508\) −10.9807 8.89198i −0.487189 0.394518i
\(509\) 5.57953 6.19669i 0.247308 0.274664i −0.606691 0.794938i \(-0.707504\pi\)
0.853999 + 0.520274i \(0.174170\pi\)
\(510\) 2.34929 + 0.355389i 0.104028 + 0.0157369i
\(511\) −3.16784 + 25.0167i −0.140137 + 1.10667i
\(512\) −0.156434 0.987688i −0.00691349 0.0436501i
\(513\) 6.16694 9.49626i 0.272277 0.419270i
\(514\) −0.388748 0.0826309i −0.0171469 0.00364469i
\(515\) 8.70567 2.39758i 0.383617 0.105650i
\(516\) 14.3361 8.27694i 0.631111 0.364372i
\(517\) −37.6187 + 12.1418i −1.65447 + 0.533998i
\(518\) 0.696187 2.39366i 0.0305887 0.105171i
\(519\) −19.1444 26.3500i −0.840344 1.15663i
\(520\) 5.66834 1.24604i 0.248573 0.0546423i
\(521\) 3.55791 3.20355i 0.155875 0.140350i −0.587503 0.809222i \(-0.699889\pi\)
0.743378 + 0.668872i \(0.233222\pi\)
\(522\) −3.11319 1.19504i −0.136261 0.0523056i
\(523\) −4.69805 + 3.80440i −0.205431 + 0.166355i −0.726515 0.687151i \(-0.758861\pi\)
0.521084 + 0.853506i \(0.325528\pi\)
\(524\) 0.623985 1.92043i 0.0272589 0.0838943i
\(525\) −16.5466 + 11.8369i −0.722154 + 0.516606i
\(526\) 18.4315 13.3913i 0.803653 0.583888i
\(527\) −1.20381 + 4.49270i −0.0524390 + 0.195705i
\(528\) 3.40560 + 3.79719i 0.148210 + 0.165252i
\(529\) −16.5042 9.52872i −0.717575 0.414292i
\(530\) 14.2147 + 24.2305i 0.617448 + 1.05251i
\(531\) −5.17463 + 1.68134i −0.224560 + 0.0729639i
\(532\) 0.394069 5.34462i 0.0170850 0.231719i
\(533\) 9.40375 1.48941i 0.407321 0.0645134i
\(534\) 6.99052 + 0.734733i 0.302509 + 0.0317950i
\(535\) −12.0967 + 15.1521i −0.522987 + 0.655083i
\(536\) −14.3403 3.04813i −0.619408 0.131659i
\(537\) −17.2659 + 6.62775i −0.745078 + 0.286009i
\(538\) −13.8034 13.8034i −0.595108 0.595108i
\(539\) −2.60976 23.0692i −0.112410 0.993662i
\(540\) −2.04106 12.3320i −0.0878331 0.530683i
\(541\) −7.19594 3.20384i −0.309378 0.137744i 0.246174 0.969226i \(-0.420826\pi\)
−0.555552 + 0.831482i \(0.687493\pi\)
\(542\) −14.4053 + 9.35488i −0.618759 + 0.401827i
\(543\) −17.1962 0.901217i −0.737962 0.0386749i
\(544\) −0.0722219 + 0.687145i −0.00309649 + 0.0294611i
\(545\) 8.37158 2.78450i 0.358599 0.119275i
\(546\) −7.99653 + 6.89831i −0.342220 + 0.295220i
\(547\) 13.6698 26.8285i 0.584480 1.14711i −0.389618 0.920977i \(-0.627393\pi\)
0.974097 0.226129i \(-0.0726072\pi\)
\(548\) −18.9524 + 7.27515i −0.809607 + 0.310779i
\(549\) −1.27332 + 2.20545i −0.0543439 + 0.0941264i
\(550\) −11.2425 12.1904i −0.479383 0.519800i
\(551\) 9.21442 5.31995i 0.392548 0.226637i
\(552\) −0.477696 + 3.01605i −0.0203321 + 0.128372i
\(553\) −0.525912 + 0.980128i −0.0223640 + 0.0416793i
\(554\) −24.1549 7.84840i −1.02624 0.333447i
\(555\) 2.42288 + 2.15130i 0.102845 + 0.0913175i
\(556\) −5.05038 11.3433i −0.214184 0.481065i
\(557\) 0.538068 10.2670i 0.0227987 0.435025i −0.963254 0.268592i \(-0.913442\pi\)
0.986053 0.166433i \(-0.0532250\pi\)
\(558\) 4.26772 0.223662i 0.180667 0.00946836i
\(559\) −22.6019 + 16.4213i −0.955959 + 0.694545i
\(560\) −3.65700 4.65041i −0.154537 0.196516i
\(561\) −1.59382 3.14321i −0.0672910 0.132706i
\(562\) −0.818365 + 3.05418i −0.0345207 + 0.128833i
\(563\) −22.1955 + 27.4091i −0.935427 + 1.15516i 0.0522473 + 0.998634i \(0.483362\pi\)
−0.987674 + 0.156522i \(0.949972\pi\)
\(564\) 3.81097 17.9292i 0.160471 0.754956i
\(565\) 13.1257 5.14334i 0.552204 0.216382i
\(566\) −0.874904 + 1.20420i −0.0367750 + 0.0506164i
\(567\) 10.8484 + 13.9942i 0.455589 + 0.587700i
\(568\) 0.965659 + 1.89521i 0.0405181 + 0.0795213i
\(569\) −1.51102 1.36053i −0.0633452 0.0570362i 0.636850 0.770988i \(-0.280237\pi\)
−0.700195 + 0.713951i \(0.746904\pi\)
\(570\) 6.05646 + 3.44085i 0.253677 + 0.144122i
\(571\) 14.9684 25.9260i 0.626408 1.08497i −0.361859 0.932233i \(-0.617858\pi\)
0.988267 0.152737i \(-0.0488089\pi\)
\(572\) −6.38591 5.77253i −0.267008 0.241362i
\(573\) −20.7097 20.7097i −0.865159 0.865159i
\(574\) −5.53663 7.97118i −0.231095 0.332711i
\(575\) 1.41677 9.82632i 0.0590832 0.409786i
\(576\) 0.620964 0.131990i 0.0258735 0.00549958i
\(577\) 0.631224 1.64440i 0.0262782 0.0684571i −0.919814 0.392356i \(-0.871660\pi\)
0.946092 + 0.323898i \(0.104994\pi\)
\(578\) −5.92118 + 15.4252i −0.246288 + 0.641603i
\(579\) 19.4920 4.14316i 0.810061 0.172184i
\(580\) 3.55196 11.1957i 0.147487 0.464876i
\(581\) 1.63892 + 19.5866i 0.0679938 + 0.812589i
\(582\) 7.82381 + 7.82381i 0.324308 + 0.324308i
\(583\) 17.0221 38.0321i 0.704983 1.57513i
\(584\) 4.76546 8.25403i 0.197196 0.341554i
\(585\) 0.978276 + 3.55214i 0.0404467 + 0.146863i
\(586\) −9.83350 8.85412i −0.406218 0.365760i
\(587\) −18.8548 37.0047i −0.778222 1.52735i −0.848127 0.529793i \(-0.822270\pi\)
0.0699053 0.997554i \(-0.477730\pi\)
\(588\) 9.87744 + 4.28126i 0.407339 + 0.176556i
\(589\) −8.01482 + 11.0314i −0.330245 + 0.454543i
\(590\) −6.99196 17.8434i −0.287855 0.734601i
\(591\) 3.44590 16.2117i 0.141745 0.666859i
\(592\) −0.592950 + 0.732232i −0.0243701 + 0.0300946i
\(593\) 3.52585 13.1586i 0.144789 0.540361i −0.854976 0.518668i \(-0.826428\pi\)
0.999765 0.0216922i \(-0.00690540\pi\)
\(594\) −13.1354 + 13.0842i −0.538952 + 0.536851i
\(595\) 1.60902 + 3.75759i 0.0659636 + 0.154046i
\(596\) 13.0632 9.49100i 0.535091 0.388766i
\(597\) −26.2146 + 1.37385i −1.07289 + 0.0562279i
\(598\) 0.269716 5.14649i 0.0110295 0.210456i
\(599\) 2.74640 + 6.16851i 0.112215 + 0.252038i 0.960919 0.276829i \(-0.0892835\pi\)
−0.848704 + 0.528867i \(0.822617\pi\)
\(600\) 7.49858 1.70303i 0.306128 0.0695259i
\(601\) −23.9333 7.77641i −0.976260 0.317206i −0.222920 0.974837i \(-0.571559\pi\)
−0.753341 + 0.657631i \(0.771559\pi\)
\(602\) 25.0943 + 13.4650i 1.02277 + 0.548791i
\(603\) 1.45596 9.19257i 0.0592913 0.374351i
\(604\) −13.5878 + 7.84491i −0.552879 + 0.319205i
\(605\) −5.04090 + 24.0747i −0.204942 + 0.978774i
\(606\) −5.80079 + 10.0473i −0.235641 + 0.408142i
\(607\) −31.6453 + 12.1475i −1.28444 + 0.493052i −0.902323 0.431061i \(-0.858139\pi\)
−0.382121 + 0.924112i \(0.624806\pi\)
\(608\) −0.919586 + 1.80479i −0.0372941 + 0.0731938i
\(609\) 3.99877 + 20.9959i 0.162038 + 0.850797i
\(610\) −8.02036 4.01668i −0.324735 0.162631i
\(611\) −3.23355 + 30.7652i −0.130815 + 1.24462i
\(612\) −0.438027 0.0229560i −0.0177062 0.000927942i
\(613\) 9.74674 6.32961i 0.393667 0.255650i −0.332593 0.943070i \(-0.607924\pi\)
0.726260 + 0.687420i \(0.241257\pi\)
\(614\) 8.64151 + 3.84745i 0.348743 + 0.155270i
\(615\) 12.4454 2.05984i 0.501848 0.0830606i
\(616\) −2.46708 + 8.42102i −0.0994014 + 0.339292i
\(617\) −27.3925 27.3925i −1.10278 1.10278i −0.994074 0.108707i \(-0.965329\pi\)
−0.108707 0.994074i \(-0.534671\pi\)
\(618\) 5.79795 2.22563i 0.233228 0.0895278i
\(619\) −18.2648 3.88231i −0.734126 0.156043i −0.174346 0.984685i \(-0.555781\pi\)
−0.559780 + 0.828641i \(0.689114\pi\)
\(620\) 1.67733 + 14.9590i 0.0673633 + 0.600766i
\(621\) −11.0387 1.16022i −0.442968 0.0465579i
\(622\) −2.52706 + 0.400247i −0.101326 + 0.0160485i
\(623\) 5.25979 + 10.8886i 0.210729 + 0.436242i
\(624\) 3.79625 1.23348i 0.151972 0.0493786i
\(625\) −24.2999 + 5.87482i −0.971997 + 0.234993i
\(626\) −7.05851 4.07523i −0.282115 0.162879i
\(627\) −1.05988 10.2772i −0.0423275 0.410432i
\(628\) 2.22709 8.31161i 0.0888706 0.331669i
\(629\) 0.526669 0.382648i 0.0209997 0.0152572i
\(630\) 2.82670 2.47293i 0.112619 0.0985238i
\(631\) −10.7103 + 32.9631i −0.426372 + 1.31224i 0.475302 + 0.879823i \(0.342339\pi\)
−0.901674 + 0.432416i \(0.857661\pi\)
\(632\) 0.326723 0.264575i 0.0129963 0.0105242i
\(633\) 16.0156 + 6.14780i 0.636562 + 0.244353i
\(634\) 5.33641 4.80493i 0.211936 0.190828i
\(635\) 26.6162 + 17.0232i 1.05623 + 0.675546i
\(636\) 11.3567 + 15.6311i 0.450322 + 0.619815i
\(637\) −17.3338 5.44331i −0.686790 0.215672i
\(638\) −16.5794 + 5.35119i −0.656386 + 0.211856i
\(639\) −1.16942 + 0.675164i −0.0462615 + 0.0267091i
\(640\) 0.593719 + 2.15581i 0.0234688 + 0.0852157i
\(641\) 12.7531 + 2.71075i 0.503716 + 0.107068i 0.452759 0.891633i \(-0.350440\pi\)
0.0509565 + 0.998701i \(0.483773\pi\)
\(642\) −7.26273 + 11.1836i −0.286637 + 0.441383i
\(643\) 0.959485 + 6.05795i 0.0378384 + 0.238902i 0.999358 0.0358351i \(-0.0114091\pi\)
−0.961519 + 0.274737i \(0.911409\pi\)
\(644\) −4.84348 + 2.03433i −0.190860 + 0.0801640i
\(645\) −29.7945 + 21.9646i −1.17316 + 0.864856i
\(646\) 0.936463 1.04005i 0.0368446 0.0409201i
\(647\) −26.7777 21.6842i −1.05274 0.852492i −0.0633812 0.997989i \(-0.520188\pi\)
−0.989359 + 0.145497i \(0.953522\pi\)
\(648\) −1.73214 6.46443i −0.0680448 0.253947i
\(649\) −15.5281 + 23.8093i −0.609533 + 0.934596i
\(650\) −12.2854 + 4.18123i −0.481873 + 0.164001i
\(651\) −15.6258 22.4968i −0.612424 0.881718i
\(652\) 1.85399 3.63867i 0.0726080 0.142501i
\(653\) −15.3078 + 23.5720i −0.599042 + 0.922444i 0.400938 + 0.916105i \(0.368684\pi\)
−0.999980 + 0.00633886i \(0.997982\pi\)
\(654\) 5.54330 2.46803i 0.216760 0.0965078i
\(655\) −0.908076 + 4.42294i −0.0354815 + 0.172819i
\(656\) 0.762679 + 3.58812i 0.0297776 + 0.140093i
\(657\) 5.39111 + 2.74691i 0.210327 + 0.107167i
\(658\) 29.6726 10.6729i 1.15676 0.416074i
\(659\) 3.28935i 0.128135i −0.997946 0.0640675i \(-0.979593\pi\)
0.997946 0.0640675i \(-0.0204073\pi\)
\(660\) −8.51386 7.58934i −0.331402 0.295415i
\(661\) 13.2691 + 7.66090i 0.516107 + 0.297974i 0.735340 0.677698i \(-0.237022\pi\)
−0.219233 + 0.975672i \(0.570356\pi\)
\(662\) −3.97264 + 4.90580i −0.154401 + 0.190670i
\(663\) −2.75415 + 0.144339i −0.106962 + 0.00560566i
\(664\) 2.29566 7.06532i 0.0890889 0.274187i
\(665\) 0.456026 + 11.9747i 0.0176839 + 0.464359i
\(666\) −0.483912 0.351582i −0.0187512 0.0136235i
\(667\) −8.74726 5.68054i −0.338695 0.219951i
\(668\) 8.15775 + 12.5618i 0.315633 + 0.486032i
\(669\) 40.3735 4.24343i 1.56093 0.164060i
\(670\) 32.6258 + 3.20025i 1.26044 + 0.123636i
\(671\) 2.05562 + 13.1448i 0.0793562 + 0.507450i
\(672\) −2.81541 2.93762i −0.108607 0.113321i
\(673\) 0.0367746 0.232186i 0.00141756 0.00895011i −0.986969 0.160908i \(-0.948558\pi\)
0.988387 + 0.151958i \(0.0485578\pi\)
\(674\) 17.6862 + 15.9247i 0.681247 + 0.613397i
\(675\) 7.60823 + 26.8948i 0.292841 + 1.03518i
\(676\) 5.72196 2.54758i 0.220075 0.0979838i
\(677\) 18.7629 + 23.1702i 0.721116 + 0.890504i 0.997509 0.0705408i \(-0.0224725\pi\)
−0.276393 + 0.961045i \(0.589139\pi\)
\(678\) 8.63908 4.40183i 0.331782 0.169051i
\(679\) −4.35211 + 18.5308i −0.167019 + 0.711145i
\(680\) −0.0107264 1.54493i −0.000411341 0.0592453i
\(681\) −20.0439 34.7170i −0.768083 1.33036i
\(682\) 16.6212 14.9071i 0.636458 0.570821i
\(683\) 12.2893 + 45.8642i 0.470237 + 1.75495i 0.638917 + 0.769276i \(0.279383\pi\)
−0.168680 + 0.985671i \(0.553951\pi\)
\(684\) −1.17473 0.523023i −0.0449169 0.0199983i
\(685\) 40.3022 20.8887i 1.53987 0.798117i
\(686\) 2.68929 + 18.3240i 0.102678 + 0.699612i
\(687\) −0.875747 5.52925i −0.0334118 0.210954i
\(688\) −6.77393 8.36511i −0.258254 0.318917i
\(689\) −21.8188 24.2323i −0.831232 0.923176i
\(690\) 0.310008 6.82113i 0.0118018 0.259676i
\(691\) 2.75521 6.18831i 0.104813 0.235414i −0.853524 0.521053i \(-0.825539\pi\)
0.958337 + 0.285639i \(0.0922059\pi\)
\(692\) −14.9753 + 14.9753i −0.569277 + 0.569277i
\(693\) −5.42061 1.28426i −0.205912 0.0487850i
\(694\) 33.8346i 1.28434i
\(695\) 14.0490 + 23.9481i 0.532910 + 0.908404i
\(696\) 1.67958 7.90182i 0.0636644 0.299518i
\(697\) 0.132647 2.53105i 0.00502436 0.0958704i
\(698\) 5.41717 4.38674i 0.205043 0.166041i
\(699\) −14.4949 10.5312i −0.548249 0.398326i
\(700\) 9.28511 + 9.42267i 0.350944 + 0.356143i
\(701\) 2.63482 + 8.10914i 0.0995158 + 0.306278i 0.988404 0.151846i \(-0.0485217\pi\)
−0.888888 + 0.458124i \(0.848522\pi\)
\(702\) 5.19952 + 13.5452i 0.196243 + 0.511231i
\(703\) 1.84347 0.493956i 0.0695277 0.0186299i
\(704\) 2.09225 2.57342i 0.0788547 0.0969894i
\(705\) −4.00116 + 40.7908i −0.150692 + 1.53627i
\(706\) −17.8506 24.5692i −0.671815 0.924674i
\(707\) −19.9492 + 0.621043i −0.750267 + 0.0233567i
\(708\) −5.98395 11.7442i −0.224891 0.441373i
\(709\) 47.4839 + 4.99076i 1.78330 + 0.187432i 0.937946 0.346781i \(-0.112725\pi\)
0.845350 + 0.534213i \(0.179392\pi\)
\(710\) −2.61805 3.97082i −0.0982538 0.149022i
\(711\) 0.178587 + 0.198341i 0.00669754 + 0.00743837i
\(712\) −0.239202 4.56425i −0.00896448 0.171052i
\(713\) 13.2019 + 2.09098i 0.494417 + 0.0783079i
\(714\) 1.35365 + 2.46400i 0.0506590 + 0.0922128i
\(715\) 15.6287 + 11.2362i 0.584481 + 0.420211i
\(716\) 6.01280 + 10.4145i 0.224709 + 0.389207i
\(717\) 7.12120 + 5.76664i 0.265946 + 0.215359i
\(718\) 25.8748 16.8033i 0.965640 0.627094i
\(719\) −26.2224 + 5.57375i −0.977932 + 0.207866i −0.669036 0.743230i \(-0.733293\pi\)
−0.308896 + 0.951096i \(0.599960\pi\)
\(720\) −1.34698 + 0.448024i −0.0501991 + 0.0166969i
\(721\) 8.50837 + 6.46216i 0.316868 + 0.240663i
\(722\) −13.2734 + 6.76314i −0.493985 + 0.251698i
\(723\) 0.950786 + 18.1421i 0.0353601 + 0.674711i
\(724\) 1.17040 + 11.1356i 0.0434975 + 0.413851i
\(725\) −5.10336 + 25.7635i −0.189534 + 0.956832i
\(726\) −1.83404 + 16.8173i −0.0680675 + 0.624148i
\(727\) −16.8467 + 16.8467i −0.624810 + 0.624810i −0.946758 0.321948i \(-0.895663\pi\)
0.321948 + 0.946758i \(0.395663\pi\)
\(728\) 5.24368 + 4.43391i 0.194344 + 0.164332i
\(729\) 28.5693 9.28274i 1.05812 0.343805i
\(730\) −8.53291 + 19.5290i −0.315817 + 0.722801i
\(731\) 3.02494 + 6.79412i 0.111881 + 0.251290i
\(732\) −5.75953 2.21088i −0.212878 0.0817163i
\(733\) −18.3840 11.9387i −0.679028 0.440966i 0.158501 0.987359i \(-0.449334\pi\)
−0.837529 + 0.546393i \(0.816001\pi\)
\(734\) 10.7343 + 33.0368i 0.396210 + 1.21941i
\(735\) −23.0158 7.05245i −0.848951 0.260133i
\(736\) 1.98559 0.0731897
\(737\) −24.2297 42.1571i −0.892513 1.55288i
\(738\) −2.24941 + 0.602728i −0.0828019 + 0.0221867i
\(739\) 30.5977 3.21595i 1.12555 0.118301i 0.476595 0.879123i \(-0.341871\pi\)
0.648960 + 0.760823i \(0.275204\pi\)
\(740\) 1.13517 1.77487i 0.0417297 0.0652454i
\(741\) −7.68955 2.49849i −0.282483 0.0917841i
\(742\) −12.5682 + 30.7716i −0.461394 + 1.12966i
\(743\) −3.78982 + 0.600248i −0.139035 + 0.0220210i −0.225564 0.974228i \(-0.572422\pi\)
0.0865291 + 0.996249i \(0.472422\pi\)
\(744\) 2.15248 + 10.1266i 0.0789137 + 0.371260i
\(745\) −26.6635 + 24.3453i −0.976876 + 0.891941i
\(746\) −1.24802 11.8741i −0.0456931 0.434741i
\(747\) 4.55545 + 1.22063i 0.166675 + 0.0446605i
\(748\) −1.85654 + 1.34332i −0.0678817 + 0.0491166i
\(749\) −22.9357 0.487198i −0.838052 0.0178018i
\(750\) −16.2386 + 5.65277i −0.592949 + 0.206410i
\(751\) −10.7064 + 11.8906i −0.390681 + 0.433895i −0.906113 0.423035i \(-0.860965\pi\)
0.515433 + 0.856930i \(0.327631\pi\)
\(752\) −11.9023 0.623773i −0.434032 0.0227467i
\(753\) 4.45315 11.6008i 0.162282 0.422758i
\(754\) −1.42510 + 13.5589i −0.0518990 + 0.493786i
\(755\) 28.2393 20.8181i 1.02773 0.757649i
\(756\) 10.1275 10.7784i 0.368335 0.392006i
\(757\) −31.2067 4.94266i −1.13423 0.179644i −0.439036 0.898469i \(-0.644680\pi\)
−0.695191 + 0.718826i \(0.744680\pi\)
\(758\) −6.92073 1.85440i −0.251372 0.0673550i
\(759\) −8.50466 + 5.49939i −0.308700 + 0.199615i
\(760\) 1.59376 4.23963i 0.0578116 0.153787i
\(761\) 18.7634 42.1434i 0.680174 1.52770i −0.161013 0.986952i \(-0.551476\pi\)
0.841187 0.540744i \(-0.181857\pi\)
\(762\) 19.3615 + 9.86516i 0.701392 + 0.357377i
\(763\) 8.63212 + 5.87010i 0.312504 + 0.212512i
\(764\) −11.1938 + 15.4069i −0.404976 + 0.557402i
\(765\) 0.979078 0.0581302i 0.0353986 0.00210170i
\(766\) 1.44144 1.29788i 0.0520813 0.0468942i
\(767\) 12.1154 + 18.6561i 0.437462 + 0.673632i
\(768\) 0.551137 + 1.43576i 0.0198874 + 0.0518086i
\(769\) 7.59178 0.273766 0.136883 0.990587i \(-0.456291\pi\)
0.136883 + 0.990587i \(0.456291\pi\)
\(770\) 3.38396 19.3274i 0.121950 0.696512i
\(771\) 0.611215 0.0220124