Properties

Label 43.2.g.a.17.2
Level $43$
Weight $2$
Character 43.17
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 17.2
Character \(\chi\) \(=\) 43.17
Dual form 43.2.g.a.38.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.178150 - 0.780524i) q^{2} +(-0.711521 + 0.219475i) q^{3} +(1.22446 - 0.589667i) q^{4} +(0.511972 - 1.30448i) q^{5} +(0.298063 + 0.516260i) q^{6} +(-2.37928 + 4.12103i) q^{7} +(-1.67671 - 2.10253i) q^{8} +(-2.02062 + 1.37764i) q^{9} +O(q^{10})\) \(q+(-0.178150 - 0.780524i) q^{2} +(-0.711521 + 0.219475i) q^{3} +(1.22446 - 0.589667i) q^{4} +(0.511972 - 1.30448i) q^{5} +(0.298063 + 0.516260i) q^{6} +(-2.37928 + 4.12103i) q^{7} +(-1.67671 - 2.10253i) q^{8} +(-2.02062 + 1.37764i) q^{9} +(-1.10939 - 0.167213i) q^{10} +(2.39760 + 1.15462i) q^{11} +(-0.741809 + 0.688298i) q^{12} +(0.611008 - 0.0920946i) q^{13} +(3.64044 + 1.12293i) q^{14} +(-0.0779770 + 1.04053i) q^{15} +(0.352328 - 0.441805i) q^{16} +(-2.15975 - 5.50296i) q^{17} +(1.43525 + 1.33172i) q^{18} +(-1.48286 - 1.01100i) q^{19} +(-0.142323 - 1.89917i) q^{20} +(0.788443 - 3.45439i) q^{21} +(0.474081 - 2.07708i) q^{22} +(0.178184 + 2.37770i) q^{23} +(1.65447 + 1.12800i) q^{24} +(2.22570 + 2.06515i) q^{25} +(-0.180733 - 0.460500i) q^{26} +(2.52811 - 3.17015i) q^{27} +(-0.483287 + 6.44901i) q^{28} +(-1.79980 - 0.555165i) q^{29} +(0.826051 - 0.124507i) q^{30} +(5.49565 - 5.09922i) q^{31} +(-5.25345 - 2.52993i) q^{32} +(-1.95935 - 0.295325i) q^{33} +(-3.91044 + 2.66609i) q^{34} +(4.15769 + 5.21358i) q^{35} +(-1.66182 + 2.87835i) q^{36} +(1.11406 + 1.92960i) q^{37} +(-0.524936 + 1.33752i) q^{38} +(-0.414532 + 0.199628i) q^{39} +(-3.60115 + 1.11081i) q^{40} +(-0.583954 - 2.55847i) q^{41} -2.83670 q^{42} +(-6.54183 + 0.452170i) q^{43} +3.61660 q^{44} +(0.762602 + 3.34118i) q^{45} +(1.82411 - 0.562664i) q^{46} +(-8.07377 + 3.88812i) q^{47} +(-0.153723 + 0.391681i) q^{48} +(-7.82195 - 13.5480i) q^{49} +(1.21539 - 2.10512i) q^{50} +(2.74447 + 3.44146i) q^{51} +(0.693847 - 0.473057i) q^{52} +(13.5894 + 2.04828i) q^{53} +(-2.92476 - 1.40849i) q^{54} +(2.73369 - 2.53650i) q^{55} +(12.6540 - 1.90728i) q^{56} +(1.27697 + 0.393894i) q^{57} +(-0.112686 + 1.50369i) q^{58} +(-4.23034 + 5.30467i) q^{59} +(0.518087 + 1.32007i) q^{60} +(3.03226 + 2.81353i) q^{61} +(-4.95912 - 3.38107i) q^{62} +(-0.869663 - 11.6048i) q^{63} +(-0.787282 + 3.44931i) q^{64} +(0.192683 - 0.844198i) q^{65} +(0.118550 + 1.58194i) q^{66} +(4.65539 + 3.17399i) q^{67} +(-5.88944 - 5.46460i) q^{68} +(-0.648628 - 1.65268i) q^{69} +(3.32864 - 4.17398i) q^{70} +(-0.641465 + 8.55975i) q^{71} +(6.28454 + 1.93852i) q^{72} +(8.41561 - 1.26845i) q^{73} +(1.30763 - 1.21331i) q^{74} +(-2.03688 - 0.980910i) q^{75} +(-2.41185 - 0.363527i) q^{76} +(-10.4628 + 7.13343i) q^{77} +(0.229663 + 0.287989i) q^{78} +(3.09616 - 5.36270i) q^{79} +(-0.395945 - 0.685797i) q^{80} +(1.57737 - 4.01906i) q^{81} +(-1.89292 + 0.911581i) q^{82} +(-1.21371 + 0.374380i) q^{83} +(-1.07153 - 4.69467i) q^{84} -8.28425 q^{85} +(1.51835 + 5.02550i) q^{86} +1.40244 q^{87} +(-1.59246 - 6.97702i) q^{88} +(-9.04506 + 2.79003i) q^{89} +(2.47202 - 1.19046i) q^{90} +(-1.07423 + 2.73710i) q^{91} +(1.62023 + 2.80632i) q^{92} +(-2.79112 + 4.83436i) q^{93} +(4.47311 + 5.60911i) q^{94} +(-2.07801 + 1.41676i) q^{95} +(4.29319 + 0.647095i) q^{96} +(4.06114 + 1.95574i) q^{97} +(-9.18108 + 8.51880i) q^{98} +(-6.43531 + 0.969967i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.178150 0.780524i −0.125971 0.551914i −0.998043 0.0625363i \(-0.980081\pi\)
0.872072 0.489378i \(-0.162776\pi\)
\(3\) −0.711521 + 0.219475i −0.410797 + 0.126714i −0.493264 0.869880i \(-0.664196\pi\)
0.0824671 + 0.996594i \(0.473720\pi\)
\(4\) 1.22446 0.589667i 0.612228 0.294834i
\(5\) 0.511972 1.30448i 0.228961 0.583382i −0.769512 0.638632i \(-0.779500\pi\)
0.998473 + 0.0552503i \(0.0175957\pi\)
\(6\) 0.298063 + 0.516260i 0.121684 + 0.210762i
\(7\) −2.37928 + 4.12103i −0.899283 + 1.55760i −0.0708714 + 0.997485i \(0.522578\pi\)
−0.828412 + 0.560119i \(0.810755\pi\)
\(8\) −1.67671 2.10253i −0.592808 0.743358i
\(9\) −2.02062 + 1.37764i −0.673541 + 0.459213i
\(10\) −1.10939 0.167213i −0.350819 0.0528775i
\(11\) 2.39760 + 1.15462i 0.722904 + 0.348132i 0.758889 0.651220i \(-0.225742\pi\)
−0.0359847 + 0.999352i \(0.511457\pi\)
\(12\) −0.741809 + 0.688298i −0.214142 + 0.198695i
\(13\) 0.611008 0.0920946i 0.169463 0.0255424i −0.0637626 0.997965i \(-0.520310\pi\)
0.233226 + 0.972423i \(0.425072\pi\)
\(14\) 3.64044 + 1.12293i 0.972947 + 0.300115i
\(15\) −0.0779770 + 1.04053i −0.0201336 + 0.268664i
\(16\) 0.352328 0.441805i 0.0880820 0.110451i
\(17\) −2.15975 5.50296i −0.523817 1.33466i −0.910903 0.412621i \(-0.864613\pi\)
0.387086 0.922044i \(-0.373482\pi\)
\(18\) 1.43525 + 1.33172i 0.338293 + 0.313890i
\(19\) −1.48286 1.01100i −0.340191 0.231938i 0.381158 0.924510i \(-0.375525\pi\)
−0.721349 + 0.692572i \(0.756478\pi\)
\(20\) −0.142323 1.89917i −0.0318245 0.424668i
\(21\) 0.788443 3.45439i 0.172052 0.753810i
\(22\) 0.474081 2.07708i 0.101074 0.442836i
\(23\) 0.178184 + 2.37770i 0.0371540 + 0.495785i 0.984478 + 0.175508i \(0.0561569\pi\)
−0.947324 + 0.320277i \(0.896224\pi\)
\(24\) 1.65447 + 1.12800i 0.337717 + 0.230252i
\(25\) 2.22570 + 2.06515i 0.445140 + 0.413030i
\(26\) −0.180733 0.460500i −0.0354446 0.0903114i
\(27\) 2.52811 3.17015i 0.486535 0.610096i
\(28\) −0.483287 + 6.44901i −0.0913326 + 1.21875i
\(29\) −1.79980 0.555165i −0.334215 0.103092i 0.123106 0.992394i \(-0.460715\pi\)
−0.457320 + 0.889302i \(0.651191\pi\)
\(30\) 0.826051 0.124507i 0.150816 0.0227318i
\(31\) 5.49565 5.09922i 0.987048 0.915847i −0.00940813 0.999956i \(-0.502995\pi\)
0.996457 + 0.0841086i \(0.0268043\pi\)
\(32\) −5.25345 2.52993i −0.928688 0.447232i
\(33\) −1.95935 0.295325i −0.341080 0.0514095i
\(34\) −3.91044 + 2.66609i −0.670635 + 0.457231i
\(35\) 4.15769 + 5.21358i 0.702778 + 0.881256i
\(36\) −1.66182 + 2.87835i −0.276970 + 0.479726i
\(37\) 1.11406 + 1.92960i 0.183150 + 0.317225i 0.942951 0.332930i \(-0.108037\pi\)
−0.759802 + 0.650155i \(0.774704\pi\)
\(38\) −0.524936 + 1.33752i −0.0851559 + 0.216974i
\(39\) −0.414532 + 0.199628i −0.0663783 + 0.0319661i
\(40\) −3.60115 + 1.11081i −0.569391 + 0.175634i
\(41\) −0.583954 2.55847i −0.0911984 0.399566i 0.908639 0.417582i \(-0.137122\pi\)
−0.999838 + 0.0180157i \(0.994265\pi\)
\(42\) −2.83670 −0.437712
\(43\) −6.54183 + 0.452170i −0.997620 + 0.0689553i
\(44\) 3.61660 0.545224
\(45\) 0.762602 + 3.34118i 0.113682 + 0.498074i
\(46\) 1.82411 0.562664i 0.268951 0.0829603i
\(47\) −8.07377 + 3.88812i −1.17768 + 0.567141i −0.917235 0.398348i \(-0.869584\pi\)
−0.260446 + 0.965489i \(0.583869\pi\)
\(48\) −0.153723 + 0.391681i −0.0221881 + 0.0565342i
\(49\) −7.82195 13.5480i −1.11742 1.93543i
\(50\) 1.21539 2.10512i 0.171882 0.297709i
\(51\) 2.74447 + 3.44146i 0.384303 + 0.481901i
\(52\) 0.693847 0.473057i 0.0962193 0.0656012i
\(53\) 13.5894 + 2.04828i 1.86665 + 0.281352i 0.982558 0.185957i \(-0.0595386\pi\)
0.884094 + 0.467310i \(0.154777\pi\)
\(54\) −2.92476 1.40849i −0.398010 0.191671i
\(55\) 2.73369 2.53650i 0.368611 0.342021i
\(56\) 12.6540 1.90728i 1.69096 0.254871i
\(57\) 1.27697 + 0.393894i 0.169139 + 0.0521725i
\(58\) −0.112686 + 1.50369i −0.0147964 + 0.197444i
\(59\) −4.23034 + 5.30467i −0.550743 + 0.690610i −0.976816 0.214079i \(-0.931325\pi\)
0.426073 + 0.904689i \(0.359897\pi\)
\(60\) 0.518087 + 1.32007i 0.0668848 + 0.170420i
\(61\) 3.03226 + 2.81353i 0.388242 + 0.360236i 0.850011 0.526764i \(-0.176595\pi\)
−0.461770 + 0.887000i \(0.652785\pi\)
\(62\) −4.95912 3.38107i −0.629808 0.429396i
\(63\) −0.869663 11.6048i −0.109567 1.46207i
\(64\) −0.787282 + 3.44931i −0.0984103 + 0.431164i
\(65\) 0.192683 0.844198i 0.0238994 0.104710i
\(66\) 0.118550 + 1.58194i 0.0145925 + 0.194723i
\(67\) 4.65539 + 3.17399i 0.568747 + 0.387765i 0.813277 0.581877i \(-0.197681\pi\)
−0.244530 + 0.969642i \(0.578634\pi\)
\(68\) −5.88944 5.46460i −0.714200 0.662681i
\(69\) −0.648628 1.65268i −0.0780856 0.198959i
\(70\) 3.32864 4.17398i 0.397848 0.498886i
\(71\) −0.641465 + 8.55975i −0.0761278 + 1.01586i 0.820088 + 0.572237i \(0.193924\pi\)
−0.896216 + 0.443618i \(0.853695\pi\)
\(72\) 6.28454 + 1.93852i 0.740640 + 0.228457i
\(73\) 8.41561 1.26845i 0.984972 0.148461i 0.363244 0.931694i \(-0.381669\pi\)
0.621728 + 0.783233i \(0.286431\pi\)
\(74\) 1.30763 1.21331i 0.152009 0.141044i
\(75\) −2.03688 0.980910i −0.235199 0.113266i
\(76\) −2.41185 0.363527i −0.276658 0.0416994i
\(77\) −10.4628 + 7.13343i −1.19235 + 0.812930i
\(78\) 0.229663 + 0.287989i 0.0260043 + 0.0326083i
\(79\) 3.09616 5.36270i 0.348345 0.603351i −0.637611 0.770359i \(-0.720077\pi\)
0.985956 + 0.167007i \(0.0534104\pi\)
\(80\) −0.395945 0.685797i −0.0442680 0.0766745i
\(81\) 1.57737 4.01906i 0.175263 0.446563i
\(82\) −1.89292 + 0.911581i −0.209038 + 0.100667i
\(83\) −1.21371 + 0.374380i −0.133222 + 0.0410935i −0.360649 0.932702i \(-0.617445\pi\)
0.227427 + 0.973795i \(0.426969\pi\)
\(84\) −1.07153 4.69467i −0.116913 0.512231i
\(85\) −8.28425 −0.898553
\(86\) 1.51835 + 5.02550i 0.163728 + 0.541914i
\(87\) 1.40244 0.150357
\(88\) −1.59246 6.97702i −0.169757 0.743752i
\(89\) −9.04506 + 2.79003i −0.958774 + 0.295743i −0.734367 0.678753i \(-0.762521\pi\)
−0.224408 + 0.974495i \(0.572045\pi\)
\(90\) 2.47202 1.19046i 0.260573 0.125485i
\(91\) −1.07423 + 2.73710i −0.112610 + 0.286926i
\(92\) 1.62023 + 2.80632i 0.168921 + 0.292579i
\(93\) −2.79112 + 4.83436i −0.289426 + 0.501300i
\(94\) 4.47311 + 5.60911i 0.461366 + 0.578535i
\(95\) −2.07801 + 1.41676i −0.213199 + 0.145357i
\(96\) 4.29319 + 0.647095i 0.438172 + 0.0660439i
\(97\) 4.06114 + 1.95574i 0.412346 + 0.198575i 0.628544 0.777774i \(-0.283651\pi\)
−0.216198 + 0.976350i \(0.569366\pi\)
\(98\) −9.18108 + 8.51880i −0.927429 + 0.860528i
\(99\) −6.43531 + 0.969967i −0.646773 + 0.0974853i
\(100\) 3.94302 + 1.21626i 0.394302 + 0.121626i
\(101\) −0.836983 + 11.1688i −0.0832829 + 1.11133i 0.786398 + 0.617720i \(0.211943\pi\)
−0.869681 + 0.493614i \(0.835676\pi\)
\(102\) 2.19722 2.75522i 0.217557 0.272808i
\(103\) −3.78337 9.63986i −0.372786 0.949844i −0.987002 0.160706i \(-0.948623\pi\)
0.614216 0.789138i \(-0.289472\pi\)
\(104\) −1.21812 1.13025i −0.119446 0.110830i
\(105\) −4.10253 2.79706i −0.400366 0.272965i
\(106\) −0.822221 10.9718i −0.0798612 1.06567i
\(107\) 1.06717 4.67559i 0.103168 0.452007i −0.896787 0.442463i \(-0.854105\pi\)
0.999954 0.00954399i \(-0.00303799\pi\)
\(108\) 1.22623 5.37246i 0.117994 0.516965i
\(109\) 1.33576 + 17.8244i 0.127942 + 1.70727i 0.579453 + 0.815006i \(0.303266\pi\)
−0.451511 + 0.892266i \(0.649115\pi\)
\(110\) −2.46680 1.68184i −0.235200 0.160357i
\(111\) −1.21617 1.12844i −0.115434 0.107107i
\(112\) 0.982408 + 2.50313i 0.0928288 + 0.236524i
\(113\) 0.802598 1.00643i 0.0755021 0.0946766i −0.742646 0.669684i \(-0.766429\pi\)
0.818148 + 0.575008i \(0.195001\pi\)
\(114\) 0.0799516 1.06688i 0.00748815 0.0999224i
\(115\) 3.19290 + 0.984878i 0.297739 + 0.0918403i
\(116\) −2.53114 + 0.381508i −0.235011 + 0.0354221i
\(117\) −1.10774 + 1.02784i −0.102411 + 0.0950235i
\(118\) 4.89406 + 2.35686i 0.450535 + 0.216966i
\(119\) 27.8166 + 4.19267i 2.54994 + 0.384342i
\(120\) 2.31850 1.58072i 0.211649 0.144300i
\(121\) −2.44305 3.06348i −0.222095 0.278499i
\(122\) 1.65583 2.86799i 0.149912 0.259655i
\(123\) 0.977016 + 1.69224i 0.0880946 + 0.152584i
\(124\) 3.72235 9.48438i 0.334276 0.851723i
\(125\) 10.1463 4.88621i 0.907514 0.437036i
\(126\) −8.90294 + 2.74619i −0.793137 + 0.244650i
\(127\) −0.977712 4.28364i −0.0867579 0.380111i 0.912844 0.408307i \(-0.133881\pi\)
−0.999602 + 0.0281961i \(0.991024\pi\)
\(128\) −8.82926 −0.780404
\(129\) 4.55541 1.75750i 0.401081 0.154739i
\(130\) −0.693244 −0.0608015
\(131\) −3.14191 13.7656i −0.274510 1.20271i −0.904626 0.426206i \(-0.859850\pi\)
0.630116 0.776501i \(-0.283007\pi\)
\(132\) −2.57329 + 0.793754i −0.223976 + 0.0690875i
\(133\) 7.69448 3.70547i 0.667196 0.321305i
\(134\) 1.64802 4.19909i 0.142367 0.362746i
\(135\) −2.84109 4.92090i −0.244522 0.423524i
\(136\) −7.94887 + 13.7679i −0.681610 + 1.18058i
\(137\) −5.86675 7.35668i −0.501231 0.628523i 0.465276 0.885166i \(-0.345955\pi\)
−0.966506 + 0.256642i \(0.917384\pi\)
\(138\) −1.17440 + 0.800694i −0.0999717 + 0.0681596i
\(139\) −16.5348 2.49223i −1.40247 0.211388i −0.596151 0.802873i \(-0.703304\pi\)
−0.806316 + 0.591485i \(0.798542\pi\)
\(140\) 8.16519 + 3.93215i 0.690085 + 0.332327i
\(141\) 4.89131 4.53847i 0.411922 0.382208i
\(142\) 6.79537 1.02424i 0.570255 0.0859521i
\(143\) 1.57129 + 0.484678i 0.131398 + 0.0405308i
\(144\) −0.103275 + 1.37810i −0.00860621 + 0.114842i
\(145\) −1.64565 + 2.06358i −0.136664 + 0.171371i
\(146\) −2.48929 6.34261i −0.206015 0.524918i
\(147\) 8.53893 + 7.92297i 0.704279 + 0.653475i
\(148\) 2.50194 + 1.70579i 0.205658 + 0.140215i
\(149\) 0.871916 + 11.6349i 0.0714302 + 0.953169i 0.911662 + 0.410942i \(0.134800\pi\)
−0.840231 + 0.542228i \(0.817581\pi\)
\(150\) −0.402755 + 1.76458i −0.0328848 + 0.144078i
\(151\) −1.79030 + 7.84381i −0.145692 + 0.638320i 0.848360 + 0.529419i \(0.177590\pi\)
−0.994053 + 0.108901i \(0.965267\pi\)
\(152\) 0.360678 + 4.81291i 0.0292548 + 0.390378i
\(153\) 11.9451 + 8.14406i 0.965708 + 0.658408i
\(154\) 7.43176 + 6.89567i 0.598868 + 0.555669i
\(155\) −3.83823 9.77964i −0.308294 0.785519i
\(156\) −0.389862 + 0.488872i −0.0312140 + 0.0391411i
\(157\) 0.566002 7.55278i 0.0451719 0.602777i −0.927982 0.372624i \(-0.878458\pi\)
0.973154 0.230153i \(-0.0739228\pi\)
\(158\) −4.73730 1.46126i −0.376879 0.116252i
\(159\) −10.1187 + 1.52515i −0.802465 + 0.120952i
\(160\) −5.98987 + 5.55778i −0.473540 + 0.439381i
\(161\) −10.2225 4.92292i −0.805649 0.387980i
\(162\) −3.41798 0.515178i −0.268542 0.0404762i
\(163\) 5.09936 3.47669i 0.399413 0.272315i −0.346911 0.937898i \(-0.612769\pi\)
0.746324 + 0.665583i \(0.231817\pi\)
\(164\) −2.22367 2.78840i −0.173640 0.217737i
\(165\) −1.38838 + 2.40475i −0.108085 + 0.187209i
\(166\) 0.508435 + 0.880635i 0.0394622 + 0.0683505i
\(167\) −3.21985 + 8.20404i −0.249159 + 0.634848i −0.999661 0.0260204i \(-0.991717\pi\)
0.750502 + 0.660868i \(0.229812\pi\)
\(168\) −8.58497 + 4.13430i −0.662345 + 0.318968i
\(169\) −12.0576 + 3.71928i −0.927508 + 0.286098i
\(170\) 1.47584 + 6.46606i 0.113191 + 0.495924i
\(171\) 4.38908 0.335642
\(172\) −7.74356 + 4.41117i −0.590441 + 0.336348i
\(173\) 6.12350 0.465561 0.232780 0.972529i \(-0.425218\pi\)
0.232780 + 0.972529i \(0.425218\pi\)
\(174\) −0.249844 1.09464i −0.0189406 0.0829844i
\(175\) −13.8061 + 4.25862i −1.04364 + 0.321922i
\(176\) 1.35486 0.652467i 0.102127 0.0491816i
\(177\) 1.84573 4.70284i 0.138733 0.353487i
\(178\) 3.78906 + 6.56285i 0.284002 + 0.491906i
\(179\) 12.2987 21.3020i 0.919250 1.59219i 0.118693 0.992931i \(-0.462130\pi\)
0.800557 0.599257i \(-0.204537\pi\)
\(180\) 2.90396 + 3.64145i 0.216448 + 0.271418i
\(181\) −4.71852 + 3.21703i −0.350725 + 0.239120i −0.725848 0.687855i \(-0.758553\pi\)
0.375124 + 0.926975i \(0.377600\pi\)
\(182\) 2.32775 + 0.350852i 0.172544 + 0.0260069i
\(183\) −2.77502 1.33638i −0.205135 0.0987879i
\(184\) 4.70043 4.36137i 0.346521 0.321524i
\(185\) 3.08750 0.465365i 0.226997 0.0342143i
\(186\) 4.27057 + 1.31730i 0.313134 + 0.0965889i
\(187\) 1.17562 15.6876i 0.0859702 1.14719i
\(188\) −7.59328 + 9.52167i −0.553797 + 0.694439i
\(189\) 7.04922 + 17.9611i 0.512755 + 1.30648i
\(190\) 1.47601 + 1.36954i 0.107081 + 0.0993568i
\(191\) 0.303915 + 0.207206i 0.0219905 + 0.0149929i 0.574265 0.818669i \(-0.305288\pi\)
−0.552275 + 0.833662i \(0.686240\pi\)
\(192\) −0.196870 2.62704i −0.0142078 0.189590i
\(193\) 1.96944 8.62869i 0.141764 0.621107i −0.853262 0.521483i \(-0.825379\pi\)
0.995025 0.0996237i \(-0.0317639\pi\)
\(194\) 0.803013 3.51823i 0.0576530 0.252594i
\(195\) 0.0481827 + 0.642954i 0.00345044 + 0.0460429i
\(196\) −17.5665 11.9766i −1.25475 0.855472i
\(197\) 2.76426 + 2.56486i 0.196945 + 0.182738i 0.772480 0.635039i \(-0.219016\pi\)
−0.575535 + 0.817777i \(0.695206\pi\)
\(198\) 1.90353 + 4.85012i 0.135278 + 0.344683i
\(199\) 7.05704 8.84925i 0.500260 0.627307i −0.466028 0.884770i \(-0.654315\pi\)
0.966288 + 0.257464i \(0.0828867\pi\)
\(200\) 0.610179 8.14227i 0.0431462 0.575746i
\(201\) −4.00902 1.23662i −0.282774 0.0872244i
\(202\) 8.86660 1.33642i 0.623852 0.0940305i
\(203\) 6.57009 6.09615i 0.461130 0.427866i
\(204\) 5.38980 + 2.59559i 0.377362 + 0.181728i
\(205\) −3.63645 0.548106i −0.253981 0.0382814i
\(206\) −6.85014 + 4.67035i −0.477272 + 0.325399i
\(207\) −3.63566 4.55897i −0.252696 0.316870i
\(208\) 0.174587 0.302394i 0.0121054 0.0209672i
\(209\) −2.38798 4.13611i −0.165180 0.286101i
\(210\) −1.45231 + 3.70042i −0.100219 + 0.255353i
\(211\) 2.57368 1.23942i 0.177180 0.0853253i −0.343191 0.939266i \(-0.611508\pi\)
0.520371 + 0.853940i \(0.325794\pi\)
\(212\) 17.8475 5.50521i 1.22577 0.378100i
\(213\) −1.42224 6.23122i −0.0974500 0.426956i
\(214\) −3.83953 −0.262465
\(215\) −2.75938 + 8.76520i −0.188188 + 0.597782i
\(216\) −10.9043 −0.741942
\(217\) 7.93837 + 34.7803i 0.538891 + 2.36104i
\(218\) 13.6744 4.21801i 0.926150 0.285679i
\(219\) −5.70948 + 2.74954i −0.385811 + 0.185797i
\(220\) 1.85160 4.71780i 0.124835 0.318074i
\(221\) −1.82642 3.16345i −0.122858 0.212797i
\(222\) −0.664117 + 1.15029i −0.0445726 + 0.0772021i
\(223\) 2.73391 + 3.42821i 0.183076 + 0.229570i 0.864897 0.501949i \(-0.167383\pi\)
−0.681822 + 0.731519i \(0.738812\pi\)
\(224\) 22.9254 15.6302i 1.53177 1.04434i
\(225\) −7.34233 1.10668i −0.489489 0.0737786i
\(226\) −0.928523 0.447153i −0.0617644 0.0297442i
\(227\) 9.09730 8.44106i 0.603809 0.560253i −0.317905 0.948122i \(-0.602979\pi\)
0.921714 + 0.387870i \(0.126789\pi\)
\(228\) 1.79586 0.270683i 0.118934 0.0179264i
\(229\) 9.76205 + 3.01119i 0.645094 + 0.198985i 0.600003 0.799998i \(-0.295166\pi\)
0.0450911 + 0.998983i \(0.485642\pi\)
\(230\) 0.199908 2.66759i 0.0131816 0.175896i
\(231\) 5.87890 7.37191i 0.386803 0.485036i
\(232\) 1.85050 + 4.71500i 0.121491 + 0.309555i
\(233\) −14.9717 13.8917i −0.980830 0.910077i 0.0151294 0.999886i \(-0.495184\pi\)
−0.995959 + 0.0898086i \(0.971374\pi\)
\(234\) 0.999595 + 0.681513i 0.0653456 + 0.0445519i
\(235\) 0.938446 + 12.5227i 0.0612175 + 0.816891i
\(236\) −2.05187 + 8.98984i −0.133565 + 0.585188i
\(237\) −1.02600 + 4.49520i −0.0666459 + 0.291995i
\(238\) −1.68303 22.4584i −0.109094 1.45576i
\(239\) 1.59638 + 1.08839i 0.103261 + 0.0704022i 0.613850 0.789423i \(-0.289620\pi\)
−0.510589 + 0.859825i \(0.670572\pi\)
\(240\) 0.432239 + 0.401059i 0.0279009 + 0.0258882i
\(241\) 5.18733 + 13.2171i 0.334145 + 0.851388i 0.994907 + 0.100793i \(0.0321380\pi\)
−0.660762 + 0.750595i \(0.729767\pi\)
\(242\) −1.95590 + 2.45262i −0.125730 + 0.157660i
\(243\) −1.14929 + 15.3362i −0.0737267 + 0.983815i
\(244\) 5.37192 + 1.65702i 0.343902 + 0.106080i
\(245\) −21.6778 + 3.26740i −1.38494 + 0.208746i
\(246\) 1.14678 1.06406i 0.0731161 0.0678418i
\(247\) −0.999145 0.481163i −0.0635741 0.0306157i
\(248\) −19.9359 3.00486i −1.26593 0.190809i
\(249\) 0.781412 0.532758i 0.0495200 0.0337622i
\(250\) −5.62137 7.04897i −0.355527 0.445816i
\(251\) −4.31293 + 7.47021i −0.272230 + 0.471516i −0.969432 0.245358i \(-0.921094\pi\)
0.697203 + 0.716874i \(0.254428\pi\)
\(252\) −7.90786 13.6968i −0.498149 0.862819i
\(253\) −2.31814 + 5.90652i −0.145740 + 0.371340i
\(254\) −3.16930 + 1.52626i −0.198860 + 0.0957658i
\(255\) 5.89441 1.81819i 0.369123 0.113859i
\(256\) 3.14749 + 13.7901i 0.196718 + 0.861879i
\(257\) 12.4670 0.777670 0.388835 0.921307i \(-0.372878\pi\)
0.388835 + 0.921307i \(0.372878\pi\)
\(258\) −2.18331 3.24251i −0.135927 0.201870i
\(259\) −10.6026 −0.658814
\(260\) −0.261864 1.14730i −0.0162401 0.0711527i
\(261\) 4.40154 1.35769i 0.272448 0.0840392i
\(262\) −10.1847 + 4.90468i −0.629211 + 0.303012i
\(263\) −6.48661 + 16.5276i −0.399982 + 1.01914i 0.579025 + 0.815310i \(0.303433\pi\)
−0.979007 + 0.203827i \(0.934662\pi\)
\(264\) 2.66435 + 4.61478i 0.163979 + 0.284020i
\(265\) 9.62934 16.6785i 0.591526 1.02455i
\(266\) −4.26298 5.34560i −0.261380 0.327760i
\(267\) 5.82340 3.97033i 0.356387 0.242980i
\(268\) 7.57193 + 1.14128i 0.462529 + 0.0697150i
\(269\) −25.8191 12.4338i −1.57422 0.758105i −0.575984 0.817461i \(-0.695381\pi\)
−0.998237 + 0.0593567i \(0.981095\pi\)
\(270\) −3.33475 + 3.09419i −0.202946 + 0.188307i
\(271\) −18.1205 + 2.73123i −1.10074 + 0.165910i −0.674194 0.738554i \(-0.735509\pi\)
−0.426549 + 0.904464i \(0.640271\pi\)
\(272\) −3.19218 0.984657i −0.193554 0.0597036i
\(273\) 0.163614 2.18327i 0.00990235 0.132138i
\(274\) −4.69691 + 5.88973i −0.283750 + 0.355812i
\(275\) 2.95187 + 7.52125i 0.178005 + 0.453549i
\(276\) −1.76875 1.64116i −0.106466 0.0987860i
\(277\) 5.46901 + 3.72871i 0.328601 + 0.224036i 0.716371 0.697720i \(-0.245802\pi\)
−0.387770 + 0.921756i \(0.626754\pi\)
\(278\) 1.00043 + 13.3498i 0.0600019 + 0.800670i
\(279\) −4.07977 + 17.8746i −0.244249 + 1.07013i
\(280\) 3.99047 17.4834i 0.238476 1.04483i
\(281\) −0.962331 12.8414i −0.0574079 0.766055i −0.949413 0.314030i \(-0.898321\pi\)
0.892005 0.452025i \(-0.149298\pi\)
\(282\) −4.41377 3.00926i −0.262836 0.179199i
\(283\) −0.459412 0.426272i −0.0273092 0.0253393i 0.666400 0.745594i \(-0.267834\pi\)
−0.693709 + 0.720255i \(0.744025\pi\)
\(284\) 4.26196 + 10.8593i 0.252901 + 0.644380i
\(285\) 1.16760 1.46412i 0.0691627 0.0867273i
\(286\) 0.0983788 1.31277i 0.00581726 0.0776260i
\(287\) 11.9329 + 3.68082i 0.704379 + 0.217272i
\(288\) 14.1006 2.12532i 0.830885 0.125236i
\(289\) −13.1562 + 12.2072i −0.773893 + 0.718068i
\(290\) 1.90385 + 0.916844i 0.111798 + 0.0538389i
\(291\) −3.31882 0.500231i −0.194553 0.0293241i
\(292\) 9.55658 6.51557i 0.559257 0.381295i
\(293\) 13.5001 + 16.9285i 0.788682 + 0.988976i 0.999933 + 0.0115444i \(0.00367477\pi\)
−0.211251 + 0.977432i \(0.567754\pi\)
\(294\) 4.66286 8.07632i 0.271944 0.471020i
\(295\) 4.75404 + 8.23424i 0.276791 + 0.479416i
\(296\) 2.18910 5.57773i 0.127239 0.324199i
\(297\) 9.72174 4.68174i 0.564113 0.271662i
\(298\) 8.92600 2.75331i 0.517070 0.159495i
\(299\) 0.327845 + 1.43638i 0.0189598 + 0.0830683i
\(300\) −3.07248 −0.177390
\(301\) 13.7014 28.0349i 0.789738 1.61591i
\(302\) 6.44123 0.370651
\(303\) −1.85573 8.13050i −0.106609 0.467085i
\(304\) −0.969115 + 0.298932i −0.0555826 + 0.0171450i
\(305\) 5.22263 2.51509i 0.299047 0.144013i
\(306\) 4.22862 10.7743i 0.241734 0.615928i
\(307\) 4.16103 + 7.20711i 0.237482 + 0.411332i 0.959991 0.280030i \(-0.0903445\pi\)
−0.722509 + 0.691362i \(0.757011\pi\)
\(308\) −8.60492 + 14.9042i −0.490311 + 0.849243i
\(309\) 4.80765 + 6.02860i 0.273498 + 0.342955i
\(310\) −6.94947 + 4.73807i −0.394703 + 0.269104i
\(311\) −13.6228 2.05331i −0.772481 0.116433i −0.249038 0.968494i \(-0.580114\pi\)
−0.523443 + 0.852061i \(0.675353\pi\)
\(312\) 1.11478 + 0.536848i 0.0631118 + 0.0303930i
\(313\) −3.60094 + 3.34119i −0.203537 + 0.188855i −0.775355 0.631526i \(-0.782429\pi\)
0.571818 + 0.820381i \(0.306238\pi\)
\(314\) −5.99596 + 0.903745i −0.338372 + 0.0510013i
\(315\) −15.5836 4.80689i −0.878034 0.270838i
\(316\) 0.628901 8.39210i 0.0353785 0.472093i
\(317\) 11.7522 14.7368i 0.660071 0.827703i −0.333280 0.942828i \(-0.608155\pi\)
0.993351 + 0.115125i \(0.0367269\pi\)
\(318\) 2.99306 + 7.62619i 0.167842 + 0.427655i
\(319\) −3.67420 3.40916i −0.205716 0.190876i
\(320\) 4.09650 + 2.79294i 0.229001 + 0.156130i
\(321\) 0.266860 + 3.56100i 0.0148947 + 0.198756i
\(322\) −2.02132 + 8.85596i −0.112643 + 0.493523i
\(323\) −2.36086 + 10.3436i −0.131362 + 0.575534i
\(324\) −0.438494 5.85129i −0.0243608 0.325072i
\(325\) 1.55011 + 1.05685i 0.0859846 + 0.0586233i
\(326\) −3.62209 3.36081i −0.200609 0.186138i
\(327\) −4.86244 12.3893i −0.268893 0.685129i
\(328\) −4.40015 + 5.51761i −0.242957 + 0.304659i
\(329\) 3.18667 42.5232i 0.175687 2.34438i
\(330\) 2.12430 + 0.655260i 0.116939 + 0.0360709i
\(331\) −3.20077 + 0.482439i −0.175930 + 0.0265172i −0.236416 0.971652i \(-0.575973\pi\)
0.0604862 + 0.998169i \(0.480735\pi\)
\(332\) −1.26538 + 1.17410i −0.0694465 + 0.0644369i
\(333\) −4.90938 2.36423i −0.269033 0.129559i
\(334\) 6.97707 + 1.05162i 0.381768 + 0.0575423i
\(335\) 6.52385 4.44788i 0.356436 0.243014i
\(336\) −1.24838 1.56542i −0.0681046 0.0854005i
\(337\) −4.83669 + 8.37738i −0.263471 + 0.456345i −0.967162 0.254161i \(-0.918201\pi\)
0.703691 + 0.710506i \(0.251534\pi\)
\(338\) 5.05104 + 8.74866i 0.274740 + 0.475864i
\(339\) −0.350180 + 0.892243i −0.0190192 + 0.0484600i
\(340\) −10.1437 + 4.88495i −0.550120 + 0.264924i
\(341\) 19.0641 5.88049i 1.03238 0.318446i
\(342\) −0.781914 3.42579i −0.0422810 0.185245i
\(343\) 41.1325 2.22095
\(344\) 11.9195 + 12.9963i 0.642655 + 0.700711i
\(345\) −2.48797 −0.133948
\(346\) −1.09090 4.77954i −0.0586471 0.256950i
\(347\) 10.4815 3.23310i 0.562674 0.173562i −0.000353651 1.00000i \(-0.500113\pi\)
0.563028 + 0.826438i \(0.309636\pi\)
\(348\) 1.71723 0.826973i 0.0920531 0.0443304i
\(349\) 7.84116 19.9790i 0.419728 1.06945i −0.552104 0.833775i \(-0.686175\pi\)
0.971832 0.235674i \(-0.0757297\pi\)
\(350\) 5.78351 + 10.0173i 0.309142 + 0.535449i
\(351\) 1.25274 2.16981i 0.0668664 0.115816i
\(352\) −9.67457 12.1315i −0.515656 0.646613i
\(353\) −27.5239 + 18.7655i −1.46495 + 0.998785i −0.471828 + 0.881690i \(0.656406\pi\)
−0.993121 + 0.117095i \(0.962642\pi\)
\(354\) −3.99950 0.602827i −0.212571 0.0320399i
\(355\) 10.8376 + 5.21913i 0.575202 + 0.277003i
\(356\) −9.43009 + 8.74985i −0.499794 + 0.463741i
\(357\) −20.7122 + 3.12187i −1.09621 + 0.165227i
\(358\) −18.8178 5.80451i −0.994550 0.306778i
\(359\) −0.560334 + 7.47713i −0.0295733 + 0.394628i 0.962701 + 0.270567i \(0.0872110\pi\)
−0.992275 + 0.124061i \(0.960408\pi\)
\(360\) 5.74628 7.20560i 0.302855 0.379769i
\(361\) −5.76472 14.6883i −0.303407 0.773067i
\(362\) 3.35158 + 3.10981i 0.176155 + 0.163448i
\(363\) 2.41064 + 1.64354i 0.126526 + 0.0862637i
\(364\) 0.298627 + 3.98490i 0.0156523 + 0.208866i
\(365\) 2.65388 11.6274i 0.138911 0.608607i
\(366\) −0.548707 + 2.40404i −0.0286814 + 0.125661i
\(367\) −0.382393 5.10269i −0.0199608 0.266358i −0.998251 0.0591184i \(-0.981171\pi\)
0.978290 0.207240i \(-0.0664480\pi\)
\(368\) 1.11326 + 0.759008i 0.0580327 + 0.0395660i
\(369\) 4.70460 + 4.36523i 0.244912 + 0.227245i
\(370\) −0.913265 2.32696i −0.0474784 0.120973i
\(371\) −40.7741 + 51.1291i −2.11688 + 2.65449i
\(372\) −0.566940 + 7.56529i −0.0293945 + 0.392242i
\(373\) −31.4395 9.69781i −1.62788 0.502134i −0.659517 0.751690i \(-0.729239\pi\)
−0.968360 + 0.249556i \(0.919715\pi\)
\(374\) −12.4540 + 1.87714i −0.643982 + 0.0970646i
\(375\) −6.14691 + 5.70350i −0.317425 + 0.294528i
\(376\) 21.7123 + 10.4561i 1.11973 + 0.539232i
\(377\) −1.15082 0.173458i −0.0592703 0.00893355i
\(378\) 12.7633 8.70185i 0.656472 0.447575i
\(379\) −5.54243 6.94999i −0.284695 0.356997i 0.618835 0.785521i \(-0.287605\pi\)
−0.903530 + 0.428524i \(0.859034\pi\)
\(380\) −1.70901 + 2.96009i −0.0876704 + 0.151850i
\(381\) 1.63581 + 2.83331i 0.0838053 + 0.145155i
\(382\) 0.107587 0.274127i 0.00550463 0.0140256i
\(383\) 12.2349 5.89201i 0.625173 0.301067i −0.0943467 0.995539i \(-0.530076\pi\)
0.719520 + 0.694472i \(0.244362\pi\)
\(384\) 6.28220 1.93780i 0.320587 0.0988880i
\(385\) 3.94876 + 17.3007i 0.201248 + 0.881724i
\(386\) −7.08576 −0.360656
\(387\) 12.5957 9.92594i 0.640273 0.504564i
\(388\) 6.12592 0.310997
\(389\) 0.872197 + 3.82135i 0.0442222 + 0.193750i 0.992214 0.124545i \(-0.0397470\pi\)
−0.947992 + 0.318295i \(0.896890\pi\)
\(390\) 0.493257 0.152150i 0.0249771 0.00770440i
\(391\) 12.6996 6.11579i 0.642245 0.309289i
\(392\) −15.3700 + 39.1621i −0.776301 + 1.97798i
\(393\) 5.25674 + 9.10494i 0.265168 + 0.459284i
\(394\) 1.50948 2.61450i 0.0760466 0.131717i
\(395\) −5.41041 6.78444i −0.272227 0.341362i
\(396\) −7.30780 + 4.98237i −0.367231 + 0.250374i
\(397\) 0.912545 + 0.137544i 0.0457993 + 0.00690313i 0.171902 0.985114i \(-0.445009\pi\)
−0.126103 + 0.992017i \(0.540247\pi\)
\(398\) −8.16426 3.93170i −0.409238 0.197078i
\(399\) −4.66152 + 4.32526i −0.233368 + 0.216534i
\(400\) 1.69657 0.255717i 0.0848285 0.0127858i
\(401\) −12.9927 4.00771i −0.648823 0.200136i −0.0471626 0.998887i \(-0.515018\pi\)
−0.601661 + 0.798752i \(0.705494\pi\)
\(402\) −0.251006 + 3.34944i −0.0125190 + 0.167055i
\(403\) 2.88828 3.62178i 0.143875 0.180414i
\(404\) 5.56100 + 14.1692i 0.276670 + 0.704944i
\(405\) −4.43523 4.11529i −0.220388 0.204490i
\(406\) −5.92865 4.04209i −0.294234 0.200605i
\(407\) 0.443098 + 5.91274i 0.0219636 + 0.293083i
\(408\) 2.63409 11.5407i 0.130407 0.571349i
\(409\) −3.60394 + 15.7899i −0.178204 + 0.780761i 0.804256 + 0.594283i \(0.202564\pi\)
−0.982459 + 0.186477i \(0.940293\pi\)
\(410\) 0.220021 + 2.93598i 0.0108661 + 0.144998i
\(411\) 5.78892 + 3.94682i 0.285546 + 0.194682i
\(412\) −10.3169 9.57266i −0.508276 0.471611i
\(413\) −11.7956 30.0547i −0.580423 1.47889i
\(414\) −2.91070 + 3.64990i −0.143053 + 0.179383i
\(415\) −0.133013 + 1.77493i −0.00652935 + 0.0871281i
\(416\) −3.44289 1.06199i −0.168802 0.0520684i
\(417\) 12.3119 1.85571i 0.602914 0.0908747i
\(418\) −2.80292 + 2.60073i −0.137095 + 0.127206i
\(419\) 22.4254 + 10.7995i 1.09555 + 0.527590i 0.892257 0.451527i \(-0.149121\pi\)
0.203295 + 0.979117i \(0.434835\pi\)
\(420\) −6.67271 1.00575i −0.325595 0.0490755i
\(421\) 25.5011 17.3863i 1.24285 0.847359i 0.250175 0.968201i \(-0.419512\pi\)
0.992672 + 0.120842i \(0.0385594\pi\)
\(422\) −1.42590 1.78802i −0.0694117 0.0870395i
\(423\) 10.9576 18.9792i 0.532778 0.922799i
\(424\) −18.4790 32.0066i −0.897421 1.55438i
\(425\) 6.55747 16.7082i 0.318084 0.810465i
\(426\) −4.61025 + 2.22018i −0.223367 + 0.107568i
\(427\) −18.8093 + 5.80189i −0.910244 + 0.280773i
\(428\) −1.45034 6.35434i −0.0701047 0.307149i
\(429\) −1.22438 −0.0591136
\(430\) 7.33304 + 0.592249i 0.353630 + 0.0285608i
\(431\) −2.13534 −0.102856 −0.0514278 0.998677i \(-0.516377\pi\)
−0.0514278 + 0.998677i \(0.516377\pi\)
\(432\) −0.509865 2.23387i −0.0245309 0.107477i
\(433\) 18.6448 5.75116i 0.896012 0.276383i 0.187653 0.982235i \(-0.439912\pi\)
0.708359 + 0.705852i \(0.249436\pi\)
\(434\) 25.7326 12.3922i 1.23521 0.594844i
\(435\) 0.718010 1.82946i 0.0344259 0.0877158i
\(436\) 12.1461 + 21.0376i 0.581691 + 1.00752i
\(437\) 2.13962 3.70594i 0.102352 0.177279i
\(438\) 3.16323 + 3.96656i 0.151145 + 0.189530i
\(439\) 11.8985 8.11229i 0.567887 0.387179i −0.245068 0.969506i \(-0.578810\pi\)
0.812954 + 0.582327i \(0.197858\pi\)
\(440\) −9.91669 1.49470i −0.472759 0.0712570i
\(441\) 34.4695 + 16.5996i 1.64140 + 0.790459i
\(442\) −2.14378 + 1.98913i −0.101969 + 0.0946134i
\(443\) −20.4362 + 3.08026i −0.970951 + 0.146347i −0.615319 0.788278i \(-0.710973\pi\)
−0.355633 + 0.934626i \(0.615735\pi\)
\(444\) −2.15456 0.664593i −0.102251 0.0315402i
\(445\) −0.991267 + 13.2275i −0.0469906 + 0.627045i
\(446\) 2.18876 2.74462i 0.103641 0.129961i
\(447\) −3.17396 8.08712i −0.150123 0.382508i
\(448\) −12.3416 11.4513i −0.583084 0.541023i
\(449\) 27.0107 + 18.4156i 1.27471 + 0.869084i 0.995829 0.0912409i \(-0.0290833\pi\)
0.278883 + 0.960325i \(0.410036\pi\)
\(450\) 0.444244 + 5.92802i 0.0209419 + 0.279450i
\(451\) 1.55398 6.80845i 0.0731742 0.320597i
\(452\) 0.389290 1.70559i 0.0183107 0.0802243i
\(453\) −0.447686 5.97396i −0.0210341 0.280681i
\(454\) −8.20913 5.59689i −0.385274 0.262675i
\(455\) 3.02052 + 2.80264i 0.141604 + 0.131390i
\(456\) −1.31294 3.34532i −0.0614842 0.156659i
\(457\) 1.92198 2.41009i 0.0899066 0.112739i −0.734843 0.678237i \(-0.762744\pi\)
0.824750 + 0.565497i \(0.191316\pi\)
\(458\) 0.611205 8.15596i 0.0285597 0.381103i
\(459\) −22.9053 7.06536i −1.06913 0.329783i
\(460\) 4.49031 0.676806i 0.209362 0.0315562i
\(461\) 15.8067 14.6665i 0.736193 0.683087i −0.220107 0.975476i \(-0.570641\pi\)
0.956300 + 0.292389i \(0.0944501\pi\)
\(462\) −6.80128 3.27532i −0.316424 0.152382i
\(463\) −27.1728 4.09564i −1.26283 0.190340i −0.516713 0.856159i \(-0.672844\pi\)
−0.746114 + 0.665818i \(0.768083\pi\)
\(464\) −0.879395 + 0.599562i −0.0408249 + 0.0278339i
\(465\) 4.87736 + 6.11602i 0.226182 + 0.283624i
\(466\) −8.17562 + 14.1606i −0.378728 + 0.655977i
\(467\) 15.8517 + 27.4559i 0.733529 + 1.27051i 0.955366 + 0.295426i \(0.0954616\pi\)
−0.221836 + 0.975084i \(0.571205\pi\)
\(468\) −0.750303 + 1.91174i −0.0346828 + 0.0883703i
\(469\) −24.1566 + 11.6332i −1.11545 + 0.537172i
\(470\) 9.60709 2.96339i 0.443142 0.136691i
\(471\) 1.25492 + 5.49818i 0.0578238 + 0.253343i
\(472\) 18.2463 0.839855
\(473\) −16.2068 6.46923i −0.745189 0.297456i
\(474\) 3.69140 0.169552
\(475\) −1.21254 5.31249i −0.0556352 0.243754i
\(476\) 36.5325 11.2688i 1.67446 0.516503i
\(477\) −30.2809 + 14.5825i −1.38647 + 0.667688i
\(478\) 0.565122 1.43991i 0.0258481 0.0658598i
\(479\) −1.49373 2.58721i −0.0682502 0.118213i 0.829881 0.557941i \(-0.188408\pi\)
−0.898131 + 0.439728i \(0.855075\pi\)
\(480\) 3.04212 5.26910i 0.138853 0.240501i
\(481\) 0.858403 + 1.07640i 0.0391398 + 0.0490798i
\(482\) 9.39215 6.40346i 0.427801 0.291670i
\(483\) 8.35401 + 1.25916i 0.380120 + 0.0572939i
\(484\) −4.79784 2.31052i −0.218084 0.105024i
\(485\) 4.63041 4.29640i 0.210256 0.195089i
\(486\) 12.1750 1.83508i 0.552269 0.0832411i
\(487\) −30.1329 9.29475i −1.36545 0.421186i −0.476494 0.879178i \(-0.658093\pi\)
−0.888956 + 0.457992i \(0.848569\pi\)
\(488\) 0.831300 11.0929i 0.0376312 0.502153i
\(489\) −2.86526 + 3.59292i −0.129571 + 0.162477i
\(490\) 6.41217 + 16.3379i 0.289672 + 0.738073i
\(491\) 13.8180 + 12.8213i 0.623600 + 0.578616i 0.927378 0.374127i \(-0.122058\pi\)
−0.303778 + 0.952743i \(0.598248\pi\)
\(492\) 2.19417 + 1.49596i 0.0989210 + 0.0674432i
\(493\) 0.832074 + 11.1033i 0.0374747 + 0.500066i
\(494\) −0.197562 + 0.865576i −0.00888874 + 0.0389441i
\(495\) −2.02939 + 8.89134i −0.0912143 + 0.399636i
\(496\) −0.316591 4.22461i −0.0142153 0.189690i
\(497\) −33.7488 23.0095i −1.51384 1.03212i
\(498\) −0.555039 0.515001i −0.0248719 0.0230777i
\(499\) 11.4840 + 29.2608i 0.514096 + 1.30989i 0.918539 + 0.395331i \(0.129370\pi\)
−0.404443 + 0.914563i \(0.632535\pi\)
\(500\) 9.54249 11.9659i 0.426753 0.535131i
\(501\) 0.490407 6.54402i 0.0219097 0.292365i
\(502\) 6.59903 + 2.03553i 0.294529 + 0.0908502i
\(503\) 22.4500 3.38379i 1.00100 0.150876i 0.371957 0.928250i \(-0.378687\pi\)
0.629039 + 0.777374i \(0.283449\pi\)
\(504\) −22.9414 + 21.2865i −1.02189 + 0.948177i
\(505\) 14.1409 + 6.80992i 0.629263 + 0.303037i
\(506\) 5.02316 + 0.757119i 0.223307 + 0.0336581i
\(507\) 7.76294 5.29268i 0.344764 0.235056i
\(508\) −3.72309 4.66860i −0.165185 0.207136i
\(509\) −8.84121 + 15.3134i −0.391880 + 0.678755i −0.992697 0.120631i \(-0.961508\pi\)
0.600818 + 0.799386i \(0.294842\pi\)
\(510\) −2.46923 4.27682i −0.109339 0.189381i
\(511\) −14.7958 + 37.6990i −0.654526 + 1.66771i
\(512\) −5.70701 + 2.74835i −0.252217 + 0.121461i
\(513\) −6.95384 + 2.14498i −0.307019 + 0.0947030i
\(514\) −2.22099 9.73080i −0.0979637 0.429207i
\(515\) −14.5120 −0.639475
\(516\) 4.54156 4.83815i 0.199931 0.212988i
\(517\) −23.8470 −1.04879
\(518\) 1.88885 + 8.27560i 0.0829913 + 0.363609i
\(519\) −4.35699 + 1.34395i −0.191251 + 0.0589931i
\(520\) −2.09803 + 1.01036i −0.0920047 + 0.0443071i
\(521\) −12.4384 + 31.6925i −0.544936 + 1.38847i 0.347662 + 0.937620i \(0.386976\pi\)
−0.892598 + 0.450854i \(0.851120\pi\)
\(522\) −1.84385 3.19364i −0.0807030 0.139782i
\(523\) 4.21809 7.30594i 0.184444 0.319466i −0.758945 0.651155i \(-0.774285\pi\)
0.943389 + 0.331688i \(0.107618\pi\)
\(524\) −11.9643 15.0027i −0.522661 0.655397i
\(525\) 8.88867 6.06019i 0.387933 0.264489i
\(526\) 14.0558 + 2.11857i 0.612862 + 0.0923741i
\(527\) −39.9301 19.2293i −1.73938 0.837642i
\(528\) −0.820812 + 0.761602i −0.0357212 + 0.0331445i
\(529\) 17.1214 2.58063i 0.744408 0.112201i
\(530\) −14.7334 4.54467i −0.639980 0.197408i
\(531\) 1.24000 16.5466i 0.0538113 0.718062i
\(532\) 7.23657 9.07437i 0.313745 0.393424i
\(533\) −0.592422 1.50947i −0.0256606 0.0653823i
\(534\) −4.13638 3.83800i −0.178999 0.166086i
\(535\) −5.55287 3.78588i −0.240071 0.163678i
\(536\) −1.13234 15.1100i −0.0489095 0.652652i
\(537\) −4.07554 + 17.8561i −0.175872 + 0.770547i
\(538\) −5.10525 + 22.3675i −0.220103 + 0.964333i
\(539\) −3.11106 41.5142i −0.134003 1.78814i
\(540\) −6.38048 4.35014i −0.274572 0.187200i
\(541\) −7.39584 6.86234i −0.317972 0.295035i 0.504997 0.863121i \(-0.331494\pi\)
−0.822969 + 0.568086i \(0.807684\pi\)
\(542\) 5.35995 + 13.6569i 0.230230 + 0.586616i
\(543\) 2.65127 3.32458i 0.113777 0.142671i
\(544\) −2.57594 + 34.3736i −0.110443 + 1.47375i
\(545\) 23.9355 + 7.38313i 1.02529 + 0.316259i
\(546\) −1.73324 + 0.261245i −0.0741760 + 0.0111802i
\(547\) 13.5257 12.5500i 0.578318 0.536600i −0.335861 0.941911i \(-0.609027\pi\)
0.914179 + 0.405311i \(0.132837\pi\)
\(548\) −11.5216 5.54850i −0.492177 0.237020i
\(549\) −10.0031 1.50772i −0.426922 0.0643481i
\(550\) 5.34465 3.64392i 0.227896 0.155377i
\(551\) 2.10758 + 2.64282i 0.0897859 + 0.112588i
\(552\) −2.38724 + 4.13483i −0.101608 + 0.175990i
\(553\) 14.7333 + 25.5188i 0.626522 + 1.08517i
\(554\) 1.93605 4.93296i 0.0822547 0.209582i
\(555\) −2.09468 + 1.00875i −0.0889143 + 0.0428189i
\(556\) −21.7158 + 6.69843i −0.920954 + 0.284077i
\(557\) 0.981857 + 4.30180i 0.0416026 + 0.182273i 0.991460 0.130410i \(-0.0416294\pi\)
−0.949858 + 0.312683i \(0.898772\pi\)
\(558\) 14.6784 0.621386
\(559\) −3.95547 + 0.878747i −0.167298 + 0.0371670i
\(560\) 3.76826 0.159238
\(561\) 2.60656 + 11.4201i 0.110049 + 0.482156i
\(562\) −9.85160 + 3.03882i −0.415565 + 0.128185i
\(563\) 8.26616 3.98077i 0.348377 0.167769i −0.251509 0.967855i \(-0.580927\pi\)
0.599886 + 0.800085i \(0.295213\pi\)
\(564\) 3.31301 8.44140i 0.139503 0.355447i
\(565\) −0.901958 1.56224i −0.0379457 0.0657238i
\(566\) −0.250872 + 0.434523i −0.0105449 + 0.0182644i
\(567\) 12.8097 + 16.0629i 0.537957 + 0.674577i
\(568\) 19.0727 13.0036i 0.800273 0.545617i
\(569\) 2.08305 + 0.313969i 0.0873259 + 0.0131623i 0.192560 0.981285i \(-0.438321\pi\)
−0.105234 + 0.994447i \(0.533559\pi\)
\(570\) −1.35079 0.650507i −0.0565785 0.0272468i
\(571\) 21.4978 19.9470i 0.899654 0.834757i −0.0872298 0.996188i \(-0.527801\pi\)
0.986884 + 0.161431i \(0.0516110\pi\)
\(572\) 2.20977 0.333070i 0.0923953 0.0139263i
\(573\) −0.261719 0.0807295i −0.0109335 0.00337252i
\(574\) 0.747125 9.96969i 0.0311844 0.416127i
\(575\) −4.51372 + 5.66003i −0.188235 + 0.236040i
\(576\) −3.16110 8.05435i −0.131712 0.335598i
\(577\) −12.2136 11.3326i −0.508459 0.471781i 0.383729 0.923446i \(-0.374640\pi\)
−0.892188 + 0.451665i \(0.850830\pi\)
\(578\) 11.8718 + 8.09402i 0.493800 + 0.336667i
\(579\) 0.492483 + 6.57173i 0.0204669 + 0.273112i
\(580\) −0.798202 + 3.49715i −0.0331435 + 0.145211i
\(581\) 1.34492 5.89249i 0.0557968 0.244462i
\(582\) 0.200803 + 2.67953i 0.00832357 + 0.111070i
\(583\) 30.2171 + 20.6016i 1.25146 + 0.853233i
\(584\) −16.7775 15.5673i −0.694259 0.644178i
\(585\) 0.773661 + 1.97125i 0.0319869 + 0.0815014i
\(586\) 10.8081 13.5529i 0.446479 0.559867i
\(587\) 1.69281 22.5890i 0.0698698 0.932348i −0.846596 0.532236i \(-0.821352\pi\)
0.916466 0.400112i \(-0.131029\pi\)
\(588\) 15.1275 + 4.66620i 0.623846 + 0.192431i
\(589\) −13.3046 + 2.00534i −0.548205 + 0.0826286i
\(590\) 5.58010 5.17757i 0.229729 0.213157i
\(591\) −2.52975 1.21826i −0.104060 0.0501126i
\(592\) 1.24502 + 0.187657i 0.0511701 + 0.00771265i
\(593\) −29.4226 + 20.0600i −1.20824 + 0.823765i −0.988415 0.151775i \(-0.951501\pi\)
−0.219826 + 0.975539i \(0.570549\pi\)
\(594\) −5.38614 6.75401i −0.220996 0.277120i
\(595\) 19.7106 34.1397i 0.808054 1.39959i
\(596\) 7.92835 + 13.7323i 0.324758 + 0.562497i
\(597\) −3.07904 + 7.84527i −0.126017 + 0.321085i
\(598\) 1.06273 0.511783i 0.0434582 0.0209283i
\(599\) 29.6180 9.13596i 1.21016 0.373285i 0.376946 0.926235i \(-0.376974\pi\)
0.833214 + 0.552950i \(0.186498\pi\)
\(600\) 1.35287 + 5.92731i 0.0552307 + 0.241982i
\(601\) 21.0632 0.859187 0.429594 0.903022i \(-0.358657\pi\)
0.429594 + 0.903022i \(0.358657\pi\)
\(602\) −24.3229 5.69989i −0.991326 0.232310i
\(603\) −13.7794 −0.561141
\(604\) 2.43310 + 10.6601i 0.0990012 + 0.433753i
\(605\) −5.24703 + 1.61849i −0.213322 + 0.0658012i
\(606\) −6.01545 + 2.89689i −0.244361 + 0.117678i
\(607\) 1.57042 4.00136i 0.0637413 0.162410i −0.895454 0.445153i \(-0.853149\pi\)
0.959196 + 0.282743i \(0.0912444\pi\)
\(608\) 5.23238 + 9.06274i 0.212201 + 0.367543i
\(609\) −3.33680 + 5.77951i −0.135214 + 0.234197i
\(610\) −2.89350 3.62833i −0.117154 0.146907i
\(611\) −4.57506 + 3.11922i −0.185087 + 0.126190i
\(612\) 19.4286 + 2.92839i 0.785354 + 0.118373i
\(613\) 0.154163 + 0.0742412i 0.00622660 + 0.00299857i 0.436994 0.899464i \(-0.356043\pi\)
−0.430768 + 0.902463i \(0.641757\pi\)
\(614\) 4.88404 4.53173i 0.197104 0.182886i
\(615\) 2.70770 0.408121i 0.109185 0.0164570i
\(616\) 32.5414 + 10.0377i 1.31113 + 0.404430i
\(617\) 0.435808 5.81545i 0.0175450 0.234121i −0.981537 0.191274i \(-0.938738\pi\)
0.999082 0.0428472i \(-0.0136429\pi\)
\(618\) 3.84899 4.82648i 0.154829 0.194150i
\(619\) 0.320011 + 0.815375i 0.0128623 + 0.0327727i 0.937161 0.348898i \(-0.113444\pi\)
−0.924298 + 0.381671i \(0.875349\pi\)
\(620\) −10.4665 9.71147i −0.420344 0.390022i
\(621\) 7.98815 + 5.44623i 0.320553 + 0.218550i
\(622\) 0.824243 + 10.9988i 0.0330491 + 0.441010i
\(623\) 10.0229 43.9133i 0.401560 1.75935i
\(624\) −0.0578545 + 0.253477i −0.00231603 + 0.0101472i
\(625\) −0.0448653 0.598685i −0.00179461 0.0239474i
\(626\) 3.24938 + 2.21539i 0.129871 + 0.0885449i
\(627\) 2.60687 + 2.41882i 0.104108 + 0.0965985i
\(628\) −3.76058 9.58180i −0.150063 0.382355i
\(629\) 8.21244 10.2981i 0.327452 0.410611i
\(630\) −0.975691 + 13.0197i −0.0388725 + 0.518717i
\(631\) −21.9032 6.75624i −0.871953 0.268962i −0.173687 0.984801i \(-0.555568\pi\)
−0.698265 + 0.715839i \(0.746044\pi\)
\(632\) −16.4666 + 2.48195i −0.655008 + 0.0987265i
\(633\) −1.55921 + 1.44673i −0.0619729 + 0.0575025i
\(634\) −13.5961 6.54754i −0.539970 0.260036i
\(635\) −6.08849 0.917692i −0.241614 0.0364175i
\(636\) −11.4906 + 7.83415i −0.455631 + 0.310644i
\(637\) −6.02697 7.55758i −0.238797 0.299442i
\(638\) −2.00638 + 3.47514i −0.0794332 + 0.137582i
\(639\) −10.4961 18.1797i −0.415218 0.719180i
\(640\) −4.52033 + 11.5176i −0.178682 + 0.455274i
\(641\) 29.9739 14.4347i 1.18390 0.570136i 0.264854 0.964288i \(-0.414676\pi\)
0.919045 + 0.394153i \(0.128962\pi\)
\(642\) 2.73191 0.842681i 0.107820 0.0332580i
\(643\) 8.85495 + 38.7961i 0.349205 + 1.52997i 0.778990 + 0.627037i \(0.215732\pi\)
−0.429785 + 0.902931i \(0.641410\pi\)
\(644\) −15.4199 −0.607631
\(645\) 0.0396153 6.84223i 0.00155985 0.269413i
\(646\) 8.49403 0.334193
\(647\) −1.59035 6.96776i −0.0625229 0.273931i 0.933998 0.357279i \(-0.116296\pi\)
−0.996520 + 0.0833487i \(0.973438\pi\)
\(648\) −11.0950 + 3.42236i −0.435853 + 0.134443i
\(649\) −16.2676 + 7.83405i −0.638558 + 0.307513i
\(650\) 0.548743 1.39817i 0.0215235 0.0548409i
\(651\) −13.2817 23.0046i −0.520551 0.901621i
\(652\) 4.19386 7.26398i 0.164244 0.284479i
\(653\) 13.6325 + 17.0946i 0.533482 + 0.668965i 0.973411 0.229068i \(-0.0735677\pi\)
−0.439929 + 0.898033i \(0.644996\pi\)
\(654\) −8.80390 + 6.00240i −0.344260 + 0.234712i
\(655\) −19.5656 2.94903i −0.764490 0.115228i
\(656\) −1.33609 0.643427i −0.0521655 0.0251216i
\(657\) −15.2573 + 14.1567i −0.595245 + 0.552306i
\(658\) −33.7581 + 5.08822i −1.31603 + 0.198359i
\(659\) 22.0315 + 6.79582i 0.858225 + 0.264727i 0.692476 0.721441i \(-0.256520\pi\)
0.165749 + 0.986168i \(0.446996\pi\)
\(660\) −0.282012 + 3.76319i −0.0109773 + 0.146482i
\(661\) 12.0427 15.1011i 0.468407 0.587364i −0.490373 0.871513i \(-0.663139\pi\)
0.958780 + 0.284149i \(0.0917109\pi\)
\(662\) 0.946771 + 2.41233i 0.0367973 + 0.0937580i
\(663\) 1.99383 + 1.85001i 0.0774341 + 0.0718483i
\(664\) 2.82219 + 1.92414i 0.109522 + 0.0746710i
\(665\) −0.894360 11.9344i −0.0346818 0.462796i
\(666\) −0.970738 + 4.25308i −0.0376153 + 0.164804i
\(667\) 0.999321 4.37831i 0.0386939 0.169529i
\(668\) 0.895089 + 11.9441i 0.0346320 + 0.462132i
\(669\) −2.69764 1.83922i −0.104297 0.0711083i
\(670\) −4.63390 4.29963i −0.179023 0.166109i
\(671\) 4.02159 + 10.2469i 0.155252 + 0.395575i
\(672\) −12.8814 + 16.1528i −0.496911 + 0.623107i
\(673\) −0.885315 + 11.8137i −0.0341264 + 0.455385i 0.953798 + 0.300448i \(0.0971363\pi\)
−0.987924 + 0.154936i \(0.950483\pi\)
\(674\) 7.40041 + 2.28272i 0.285053 + 0.0879272i
\(675\) 12.1737 1.83488i 0.468564 0.0706247i
\(676\) −12.5709 + 11.6641i −0.483495 + 0.448618i
\(677\) 39.6619 + 19.1002i 1.52433 + 0.734079i 0.993546 0.113428i \(-0.0361830\pi\)
0.530785 + 0.847507i \(0.321897\pi\)
\(678\) 0.758802 + 0.114371i 0.0291416 + 0.00439239i
\(679\) −17.7223 + 12.0828i −0.680118 + 0.463696i
\(680\) 13.8903 + 17.4179i 0.532670 + 0.667946i
\(681\) −4.62031 + 8.00261i −0.177051 + 0.306661i
\(682\) −7.98612 13.8324i −0.305804 0.529669i
\(683\) −3.21492 + 8.19149i −0.123016 + 0.313439i −0.979094 0.203407i \(-0.934799\pi\)
0.856079 + 0.516845i \(0.172894\pi\)
\(684\) 5.37424 2.58810i 0.205489 0.0989584i
\(685\) −12.6003 + 3.88667i −0.481431 + 0.148502i
\(686\) −7.32774 32.1049i −0.279775 1.22577i
\(687\) −7.60678 −0.290217
\(688\) −2.10510 + 3.04953i −0.0802561 + 0.116262i
\(689\) 8.49188 0.323515
\(690\) 0.443230 + 1.94192i 0.0168735 + 0.0739276i
\(691\) −23.4565 + 7.23537i −0.892327 + 0.275247i −0.706818 0.707396i \(-0.749870\pi\)
−0.185510 + 0.982642i \(0.559394\pi\)
\(692\) 7.49796 3.61083i 0.285030 0.137263i
\(693\) 11.3141 28.8280i 0.429789 1.09508i
\(694\) −4.39078 7.60506i −0.166672 0.288684i
\(695\) −11.7164 + 20.2935i −0.444430 + 0.769775i
\(696\) −2.35149 2.94868i −0.0891331 0.111769i
\(697\) −12.8180 + 8.73915i −0.485515 + 0.331019i
\(698\) −16.9910 2.56098i −0.643117 0.0969343i
\(699\) 13.7016 + 6.59833i 0.518241 + 0.249572i
\(700\) −14.3938 + 13.3555i −0.544035 + 0.504791i
\(701\) −7.74950 + 1.16805i −0.292695 + 0.0441166i −0.293748 0.955883i \(-0.594903\pi\)
0.00105353 + 0.999999i \(0.499665\pi\)
\(702\) −1.91677 0.591244i −0.0723437 0.0223151i
\(703\) 0.298832 3.98763i 0.0112707 0.150396i
\(704\) −5.87025 + 7.36106i −0.221243 + 0.277430i
\(705\) −3.41614 8.70419i −0.128659 0.327819i
\(706\) 19.5503 + 18.1400i 0.735784 + 0.682708i
\(707\) −44.0354 30.0228i −1.65612 1.12913i
\(708\) −0.513096 6.84679i −0.0192833 0.257318i
\(709\) −1.33852 + 5.86443i −0.0502691 + 0.220243i −0.993823 0.110975i \(-0.964603\pi\)
0.943554 + 0.331218i \(0.107460\pi\)
\(710\) 2.14294 9.38882i 0.0804230 0.352356i
\(711\) 1.13169 + 15.1014i 0.0424418 + 0.566347i
\(712\) 21.0321 + 14.3395i 0.788212 + 0.537394i
\(713\) 13.1037 + 12.1584i 0.490736 + 0.455337i
\(714\) 6.12657 + 15.6103i 0.229281 + 0.584199i
\(715\) 1.43671 1.80158i 0.0537299 0.0673751i
\(716\) 2.49815 33.3356i 0.0933604 1.24581i
\(717\) −1.37473 0.424048i −0.0513402 0.0158364i
\(718\) 5.93591 0.894694i 0.221526 0.0333897i
\(719\) 10.4800 9.72406i 0.390840 0.362646i −0.460139 0.887847i \(-0.652200\pi\)
0.850978 + 0.525201i \(0.176010\pi\)
\(720\) 1.74484 + 0.840269i 0.0650262 + 0.0313150i
\(721\) 48.7279 + 7.34455i 1.81472 + 0.273525i
\(722\) −10.4376 + 7.11622i −0.388446 + 0.264838i
\(723\) −6.59172 8.26575i −0.245149 0.307407i
\(724\) −3.88064 + 6.72147i −0.144223 + 0.249802i
\(725\) −2.85932 4.95249i −0.106192 0.183931i
\(726\) 0.853372 2.17436i 0.0316716 0.0806980i
\(727\) −6.01941 + 2.89879i −0.223247 + 0.107510i −0.542165 0.840272i \(-0.682395\pi\)
0.318917 + 0.947783i \(0.396681\pi\)
\(728\) 7.55603 2.33073i 0.280045 0.0863825i
\(729\) 0.334052 + 1.46358i 0.0123723 + 0.0542065i
\(730\) −9.54827 −0.353397
\(731\) 16.6170 + 35.0229i 0.614603 + 1.29537i
\(732\) −4.18591 −0.154716
\(733\) −8.12555 35.6004i −0.300124 1.31493i −0.869940 0.493157i \(-0.835843\pi\)
0.569816 0.821772i \(-0.307014\pi\)
\(734\) −3.91465 + 1.20751i −0.144492 + 0.0445700i
\(735\) 14.7071 7.08255i 0.542478 0.261244i
\(736\) 5.07934 12.9419i 0.187227 0.477046i
\(737\) 7.49701 + 12.9852i 0.276156 + 0.478316i
\(738\) 2.56905 4.44972i 0.0945679 0.163796i
\(739\) −12.8940 16.1686i −0.474313 0.594770i 0.485908 0.874010i \(-0.338489\pi\)
−0.960221 + 0.279240i \(0.909917\pi\)
\(740\) 3.50610 2.39042i 0.128887 0.0878734i
\(741\) 0.816515 + 0.123070i 0.0299954 + 0.00452108i
\(742\) 47.1714 + 22.7165i 1.73172 + 0.833950i
\(743\) 4.99436 4.63408i 0.183225 0.170008i −0.583228 0.812309i \(-0.698210\pi\)
0.766453 + 0.642301i \(0.222020\pi\)
\(744\) 14.8443 2.23742i 0.544219 0.0820278i
\(745\) 15.6239 + 4.81935i 0.572417 + 0.176567i
\(746\) −1.96844 + 26.2670i −0.0720696 + 0.961702i
\(747\) 1.93669 2.42853i 0.0708598 0.0888554i
\(748\) −7.81098 19.9020i −0.285598 0.727691i
\(749\) 16.7292 + 15.5224i 0.611271 + 0.567177i
\(750\) 5.54679 + 3.78174i 0.202540 + 0.138090i
\(751\) −1.46930 19.6065i −0.0536156 0.715450i −0.957640 0.287969i \(-0.907020\pi\)
0.904024 0.427481i \(-0.140599\pi\)
\(752\) −1.12682 + 4.93693i −0.0410910 + 0.180031i
\(753\) 1.42921 6.26179i 0.0520834 0.228192i
\(754\) 0.0696298 + 0.929145i 0.00253577 + 0.0338375i
\(755\) 9.31553 + 6.35122i 0.339027 + 0.231145i
\(756\) 19.2225 + 17.8359i 0.699117 + 0.648686i
\(757\) −14.3182 36.4821i −0.520403 1.32597i −0.913638 0.406528i \(-0.866739\pi\)
0.393235 0.919438i \(-0.371356\pi\)
\(758\) −4.43725 + 5.56414i −0.161168 + 0.202099i
\(759\) 0.353069 4.71138i 0.0128156 0.171012i
\(760\) 6.46301 + 1.99357i 0.234438 + 0.0723145i
\(761\) −42.8441 + 6.45772i −1.55310 + 0.234092i −0.868820 0.495128i \(-0.835121\pi\)
−0.684279 + 0.729220i \(0.739883\pi\)
\(762\) 1.92005 1.78155i 0.0695561 0.0645386i
\(763\) −76.6333 36.9046i −2.77431 1.33604i
\(764\) 0.494314 + 0.0745058i 0.0178836 + 0.00269553i
\(765\) 16.7394 11.4127i 0.605213 0.412627i
\(766\) −6.77849 8.49996i −0.244917 0.307116i
\(767\) −2.09624 + 3.63079i −0.0756907 + 0.131100i
\(768\) −5.26608 9.12112i −0.190023 0.329130i
\(769\) 17.9092 45.6318i 0.645821 1.64553i −0.112505 0.993651i \(-0.535888\pi\)
0.758327 0.651875i \(-0.226017\pi\)
\(770\) 12.8001 6.16422i 0.461284 0.222143i
\(771\) −8.87053 + 2.73620i −0.319464 + 0.0985417i