Properties

Label 483.2.bf.a.10.3
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.3
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.838936 + 2.42395i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-3.59960 - 2.83076i) q^{4} +(-2.60640 + 0.248881i) q^{5} +(2.53891 - 0.365041i) q^{6} +(2.49779 - 0.872377i) q^{7} +(5.56577 - 3.57691i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.838936 + 2.42395i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-3.59960 - 2.83076i) q^{4} +(-2.60640 + 0.248881i) q^{5} +(2.53891 - 0.365041i) q^{6} +(2.49779 - 0.872377i) q^{7} +(5.56577 - 3.57691i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(1.58333 - 6.52656i) q^{10} +(0.681421 - 0.235842i) q^{11} +(-0.866645 + 4.49658i) q^{12} +(0.235885 + 0.803350i) q^{13} +(0.0191078 + 6.78638i) q^{14} +(1.41553 + 2.20261i) q^{15} +(1.84166 + 7.59144i) q^{16} +(3.50053 + 1.40140i) q^{17} +(-1.48786 - 2.08940i) q^{18} +(3.75940 - 1.50504i) q^{19} +(10.0865 + 6.48221i) q^{20} +(-1.91995 - 1.82038i) q^{21} +1.84958i q^{22} +(-3.97216 + 2.68737i) q^{23} +(-5.72967 - 3.30802i) q^{24} +(1.82172 - 0.351108i) q^{25} +(-2.14517 - 0.102187i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-11.4605 - 3.93043i) q^{28} +(1.43212 + 9.96059i) q^{29} +(-6.52656 + 1.58333i) q^{30} +(-6.94196 + 0.330686i) q^{31} +(-6.77411 - 0.646849i) q^{32} +(-0.521870 - 0.497602i) q^{33} +(-6.33365 + 7.30942i) q^{34} +(-6.29312 + 2.89541i) q^{35} +(4.39384 - 1.29015i) q^{36} +(9.19638 + 6.54871i) q^{37} +(0.494233 + 10.3752i) q^{38} +(0.605958 - 0.577779i) q^{39} +(-13.6164 + 10.7081i) q^{40} +(3.47102 + 1.58516i) q^{41} +(6.02322 - 3.12668i) q^{42} +(3.07710 - 4.78806i) q^{43} +(-3.12045 - 1.08000i) q^{44} +(1.30913 - 2.26747i) q^{45} +(-3.18166 - 11.8828i) q^{46} +(4.30124 - 2.48332i) q^{47} +(5.90364 - 5.11553i) q^{48} +(5.47792 - 4.35803i) q^{49} +(-0.677240 + 4.71031i) q^{50} +(-0.358421 - 3.75356i) q^{51} +(1.42500 - 3.55947i) q^{52} +(1.21989 + 1.27939i) q^{53} +(-1.17536 + 2.27988i) q^{54} +(-1.71736 + 0.784290i) q^{55} +(10.7817 - 13.7898i) q^{56} +(-3.06039 - 2.65184i) q^{57} +(-25.3454 - 4.88492i) q^{58} +(5.63383 + 1.36675i) q^{59} +(1.13971 - 11.9356i) q^{60} +(6.55557 + 3.37963i) q^{61} +(5.02229 - 17.1044i) q^{62} +(-0.738244 + 2.54067i) q^{63} +(0.760829 - 1.66598i) q^{64} +(-0.814748 - 2.03514i) q^{65} +(1.64398 - 0.847529i) q^{66} +(1.46821 + 7.61781i) q^{67} +(-8.63350 - 14.9537i) q^{68} +(4.20878 + 2.29917i) q^{69} +(-1.73880 - 17.6832i) q^{70} +(2.47191 + 2.85274i) q^{71} +(-0.314804 + 6.60856i) q^{72} +(3.05207 - 3.88102i) q^{73} +(-23.5889 + 16.7976i) q^{74} +(-1.14684 - 1.45832i) q^{75} +(-17.7927 - 5.22442i) q^{76} +(1.49630 - 1.18354i) q^{77} +(0.892147 + 1.95353i) q^{78} +(3.60311 - 3.77883i) q^{79} +(-6.68947 - 19.3280i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-6.75432 + 7.08373i) q^{82} +(-5.84655 - 12.8022i) q^{83} +(1.75801 + 11.9876i) q^{84} +(-9.47257 - 2.78140i) q^{85} +(9.02452 + 11.4756i) q^{86} +(8.19709 - 5.83712i) q^{87} +(2.94905 - 3.75002i) q^{88} +(0.185231 - 3.88847i) q^{89} +(4.39796 + 5.07552i) q^{90} +(1.29002 + 1.80082i) q^{91} +(21.9055 + 1.57075i) q^{92} +(3.47491 + 6.01873i) q^{93} +(2.41098 + 12.5093i) q^{94} +(-9.42392 + 4.85837i) q^{95} +(2.52913 + 6.31747i) q^{96} +(-1.24208 + 2.71978i) q^{97} +(5.96801 + 16.9343i) q^{98} +(-0.203152 + 0.691871i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.838936 + 2.42395i −0.593218 + 1.71399i 0.101620 + 0.994823i \(0.467597\pi\)
−0.694838 + 0.719166i \(0.744524\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) −3.59960 2.83076i −1.79980 1.41538i
\(5\) −2.60640 + 0.248881i −1.16562 + 0.111303i −0.659870 0.751380i \(-0.729389\pi\)
−0.505746 + 0.862682i \(0.668783\pi\)
\(6\) 2.53891 0.365041i 1.03651 0.149027i
\(7\) 2.49779 0.872377i 0.944076 0.329727i
\(8\) 5.56577 3.57691i 1.96780 1.26463i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 1.58333 6.52656i 0.500692 2.06388i
\(11\) 0.681421 0.235842i 0.205456 0.0711090i −0.222402 0.974955i \(-0.571390\pi\)
0.427858 + 0.903846i \(0.359268\pi\)
\(12\) −0.866645 + 4.49658i −0.250179 + 1.29805i
\(13\) 0.235885 + 0.803350i 0.0654227 + 0.222809i 0.985715 0.168422i \(-0.0538673\pi\)
−0.920292 + 0.391232i \(0.872049\pi\)
\(14\) 0.0191078 + 6.78638i 0.00510676 + 1.81374i
\(15\) 1.41553 + 2.20261i 0.365489 + 0.568713i
\(16\) 1.84166 + 7.59144i 0.460416 + 1.89786i
\(17\) 3.50053 + 1.40140i 0.849004 + 0.339890i 0.755035 0.655685i \(-0.227620\pi\)
0.0939698 + 0.995575i \(0.470044\pi\)
\(18\) −1.48786 2.08940i −0.350692 0.492477i
\(19\) 3.75940 1.50504i 0.862466 0.345279i 0.102100 0.994774i \(-0.467444\pi\)
0.760366 + 0.649495i \(0.225020\pi\)
\(20\) 10.0865 + 6.48221i 2.25541 + 1.44947i
\(21\) −1.91995 1.82038i −0.418968 0.397239i
\(22\) 1.84958i 0.394333i
\(23\) −3.97216 + 2.68737i −0.828252 + 0.560356i
\(24\) −5.72967 3.30802i −1.16956 0.675248i
\(25\) 1.82172 0.351108i 0.364344 0.0702215i
\(26\) −2.14517 0.102187i −0.420703 0.0200405i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −11.4605 3.93043i −2.16584 0.742782i
\(29\) 1.43212 + 9.96059i 0.265937 + 1.84963i 0.485757 + 0.874094i \(0.338544\pi\)
−0.219820 + 0.975541i \(0.570547\pi\)
\(30\) −6.52656 + 1.58333i −1.19158 + 0.289075i
\(31\) −6.94196 + 0.330686i −1.24681 + 0.0593930i −0.660583 0.750753i \(-0.729691\pi\)
−0.586229 + 0.810146i \(0.699388\pi\)
\(32\) −6.77411 0.646849i −1.19750 0.114348i
\(33\) −0.521870 0.497602i −0.0908459 0.0866214i
\(34\) −6.33365 + 7.30942i −1.08621 + 1.25356i
\(35\) −6.29312 + 2.89541i −1.06373 + 0.489414i
\(36\) 4.39384 1.29015i 0.732307 0.215025i
\(37\) 9.19638 + 6.54871i 1.51188 + 1.07660i 0.972035 + 0.234834i \(0.0754548\pi\)
0.539840 + 0.841767i \(0.318485\pi\)
\(38\) 0.494233 + 10.3752i 0.0801751 + 1.68308i
\(39\) 0.605958 0.577779i 0.0970309 0.0925188i
\(40\) −13.6164 + 10.7081i −2.15294 + 1.69309i
\(41\) 3.47102 + 1.58516i 0.542083 + 0.247561i 0.667587 0.744532i \(-0.267327\pi\)
−0.125504 + 0.992093i \(0.540055\pi\)
\(42\) 6.02322 3.12668i 0.929403 0.482458i
\(43\) 3.07710 4.78806i 0.469254 0.730173i −0.523278 0.852162i \(-0.675291\pi\)
0.992531 + 0.121989i \(0.0389273\pi\)
\(44\) −3.12045 1.08000i −0.470426 0.162816i
\(45\) 1.30913 2.26747i 0.195153 0.338015i
\(46\) −3.18166 11.8828i −0.469110 1.75203i
\(47\) 4.30124 2.48332i 0.627401 0.362230i −0.152344 0.988328i \(-0.548682\pi\)
0.779745 + 0.626097i \(0.215349\pi\)
\(48\) 5.90364 5.11553i 0.852117 0.738364i
\(49\) 5.47792 4.35803i 0.782560 0.622576i
\(50\) −0.677240 + 4.71031i −0.0957763 + 0.666138i
\(51\) −0.358421 3.75356i −0.0501890 0.525603i
\(52\) 1.42500 3.55947i 0.197612 0.493610i
\(53\) 1.21989 + 1.27939i 0.167565 + 0.175737i 0.802163 0.597106i \(-0.203683\pi\)
−0.634598 + 0.772843i \(0.718834\pi\)
\(54\) −1.17536 + 2.27988i −0.159946 + 0.310253i
\(55\) −1.71736 + 0.784290i −0.231568 + 0.105754i
\(56\) 10.7817 13.7898i 1.44077 1.84274i
\(57\) −3.06039 2.65184i −0.405358 0.351245i
\(58\) −25.3454 4.88492i −3.32801 0.641422i
\(59\) 5.63383 + 1.36675i 0.733462 + 0.177936i 0.585058 0.810991i \(-0.301072\pi\)
0.148403 + 0.988927i \(0.452587\pi\)
\(60\) 1.13971 11.9356i 0.147136 1.54087i
\(61\) 6.55557 + 3.37963i 0.839354 + 0.432717i 0.823608 0.567159i \(-0.191957\pi\)
0.0157458 + 0.999876i \(0.494988\pi\)
\(62\) 5.02229 17.1044i 0.637832 2.17226i
\(63\) −0.738244 + 2.54067i −0.0930100 + 0.320094i
\(64\) 0.760829 1.66598i 0.0951036 0.208248i
\(65\) −0.814748 2.03514i −0.101057 0.252428i
\(66\) 1.64398 0.847529i 0.202359 0.104324i
\(67\) 1.46821 + 7.61781i 0.179371 + 0.930664i 0.954353 + 0.298681i \(0.0965467\pi\)
−0.774982 + 0.631983i \(0.782241\pi\)
\(68\) −8.63350 14.9537i −1.04697 1.81340i
\(69\) 4.20878 + 2.29917i 0.506677 + 0.276788i
\(70\) −1.73880 17.6832i −0.207827 2.11355i
\(71\) 2.47191 + 2.85274i 0.293362 + 0.338558i 0.883228 0.468943i \(-0.155365\pi\)
−0.589866 + 0.807501i \(0.700820\pi\)
\(72\) −0.314804 + 6.60856i −0.0371000 + 0.778826i
\(73\) 3.05207 3.88102i 0.357218 0.454239i −0.573918 0.818913i \(-0.694577\pi\)
0.931135 + 0.364674i \(0.118820\pi\)
\(74\) −23.5889 + 16.7976i −2.74216 + 1.95268i
\(75\) −1.14684 1.45832i −0.132425 0.168393i
\(76\) −17.7927 5.22442i −2.04097 0.599282i
\(77\) 1.49630 1.18354i 0.170520 0.134877i
\(78\) 0.892147 + 1.95353i 0.101016 + 0.221194i
\(79\) 3.60311 3.77883i 0.405382 0.425152i −0.489120 0.872216i \(-0.662682\pi\)
0.894502 + 0.447064i \(0.147531\pi\)
\(80\) −6.68947 19.3280i −0.747905 2.16093i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −6.75432 + 7.08373i −0.745890 + 0.782267i
\(83\) −5.84655 12.8022i −0.641742 1.40522i −0.898599 0.438770i \(-0.855414\pi\)
0.256857 0.966449i \(-0.417313\pi\)
\(84\) 1.75801 + 11.9876i 0.191815 + 1.30795i
\(85\) −9.47257 2.78140i −1.02744 0.301685i
\(86\) 9.02452 + 11.4756i 0.973139 + 1.23745i
\(87\) 8.19709 5.83712i 0.878820 0.625805i
\(88\) 2.94905 3.75002i 0.314370 0.399754i
\(89\) 0.185231 3.88847i 0.0196344 0.412177i −0.967559 0.252647i \(-0.918699\pi\)
0.987193 0.159530i \(-0.0509980\pi\)
\(90\) 4.39796 + 5.07552i 0.463586 + 0.535007i
\(91\) 1.29002 + 1.80082i 0.135230 + 0.188777i
\(92\) 21.9055 + 1.57075i 2.28380 + 0.163762i
\(93\) 3.47491 + 6.01873i 0.360332 + 0.624113i
\(94\) 2.41098 + 12.5093i 0.248673 + 1.29024i
\(95\) −9.42392 + 4.85837i −0.966873 + 0.498458i
\(96\) 2.52913 + 6.31747i 0.258129 + 0.644774i
\(97\) −1.24208 + 2.71978i −0.126115 + 0.276152i −0.962149 0.272525i \(-0.912141\pi\)
0.836034 + 0.548677i \(0.184868\pi\)
\(98\) 5.96801 + 16.9343i 0.602860 + 1.71062i
\(99\) −0.203152 + 0.691871i −0.0204175 + 0.0695356i
\(100\) −7.55136 3.89300i −0.755136 0.389300i
\(101\) 0.804257 8.42256i 0.0800266 0.838076i −0.862966 0.505262i \(-0.831396\pi\)
0.942992 0.332814i \(-0.107998\pi\)
\(102\) 9.39912 + 2.28020i 0.930652 + 0.225774i
\(103\) 11.2211 + 2.16269i 1.10565 + 0.213096i 0.709231 0.704976i \(-0.249042\pi\)
0.396415 + 0.918072i \(0.370254\pi\)
\(104\) 4.18639 + 3.62753i 0.410510 + 0.355709i
\(105\) 5.45722 + 4.26679i 0.532570 + 0.416396i
\(106\) −4.12457 + 1.88363i −0.400614 + 0.182954i
\(107\) 3.39784 6.59090i 0.328482 0.637166i −0.665538 0.746364i \(-0.731798\pi\)
0.994020 + 0.109198i \(0.0348282\pi\)
\(108\) −3.16010 3.31422i −0.304081 0.318911i
\(109\) −5.58594 + 13.9530i −0.535036 + 1.33646i 0.376950 + 0.926234i \(0.376973\pi\)
−0.911986 + 0.410222i \(0.865451\pi\)
\(110\) −0.460326 4.82075i −0.0438904 0.459641i
\(111\) 1.60670 11.1749i 0.152501 1.06067i
\(112\) 11.2227 + 17.3552i 1.06044 + 1.63991i
\(113\) −12.9247 + 11.1994i −1.21586 + 1.05355i −0.218888 + 0.975750i \(0.570243\pi\)
−0.996969 + 0.0777967i \(0.975212\pi\)
\(114\) 8.99539 5.19349i 0.842496 0.486415i
\(115\) 9.68418 7.99295i 0.903055 0.745346i
\(116\) 23.0410 39.9081i 2.13930 3.70537i
\(117\) −0.791217 0.273843i −0.0731480 0.0253168i
\(118\) −8.03935 + 12.5095i −0.740082 + 1.15159i
\(119\) 9.96616 + 0.446626i 0.913596 + 0.0409421i
\(120\) 15.7571 + 7.19602i 1.43842 + 0.656904i
\(121\) −8.23787 + 6.47833i −0.748897 + 0.588939i
\(122\) −13.6917 + 13.0551i −1.23959 + 1.18195i
\(123\) −0.181566 3.81153i −0.0163712 0.343674i
\(124\) 25.9244 + 18.4607i 2.32808 + 1.65782i
\(125\) 7.90023 2.31972i 0.706618 0.207482i
\(126\) −5.53911 3.92092i −0.493463 0.349304i
\(127\) −3.14959 + 3.63482i −0.279481 + 0.322538i −0.878083 0.478509i \(-0.841178\pi\)
0.598602 + 0.801046i \(0.295723\pi\)
\(128\) −6.44994 6.15000i −0.570099 0.543589i
\(129\) −5.66581 0.541019i −0.498847 0.0476341i
\(130\) 5.61660 0.267552i 0.492609 0.0234658i
\(131\) 15.7993 3.83288i 1.38040 0.334880i 0.524227 0.851578i \(-0.324354\pi\)
0.856168 + 0.516698i \(0.172839\pi\)
\(132\) 0.469933 + 3.26845i 0.0409024 + 0.284482i
\(133\) 8.07724 7.03888i 0.700385 0.610348i
\(134\) −19.6969 2.83199i −1.70155 0.244647i
\(135\) −2.61529 0.124581i −0.225088 0.0107223i
\(136\) 24.4959 4.72119i 2.10050 0.404839i
\(137\) −14.5112 8.37807i −1.23978 0.715787i −0.270730 0.962655i \(-0.587265\pi\)
−0.969049 + 0.246868i \(0.920599\pi\)
\(138\) −9.10396 + 8.27300i −0.774981 + 0.704245i
\(139\) 17.9055i 1.51873i 0.650666 + 0.759364i \(0.274490\pi\)
−0.650666 + 0.759364i \(0.725510\pi\)
\(140\) 30.8489 + 7.39196i 2.60721 + 0.624734i
\(141\) −4.17821 2.68517i −0.351869 0.226132i
\(142\) −8.98867 + 3.59852i −0.754313 + 0.301981i
\(143\) 0.350201 + 0.491788i 0.0292853 + 0.0411254i
\(144\) −7.25207 2.90329i −0.604340 0.241941i
\(145\) −6.21166 25.6048i −0.515850 2.12636i
\(146\) 6.84690 + 10.6540i 0.566653 + 0.881730i
\(147\) −6.38370 2.87200i −0.526519 0.236879i
\(148\) −14.5655 49.6055i −1.19728 4.07754i
\(149\) 1.06674 5.53476i 0.0873905 0.453425i −0.911703 0.410850i \(-0.865232\pi\)
0.999093 0.0425745i \(-0.0135560\pi\)
\(150\) 4.49702 1.55643i 0.367180 0.127082i
\(151\) −0.602196 + 2.48229i −0.0490061 + 0.202006i −0.991052 0.133479i \(-0.957385\pi\)
0.942046 + 0.335485i \(0.108900\pi\)
\(152\) 15.5406 21.8237i 1.26051 1.77014i
\(153\) −3.17206 + 2.03856i −0.256446 + 0.164808i
\(154\) 1.61353 + 4.61987i 0.130022 + 0.372280i
\(155\) 18.0112 2.58962i 1.44669 0.208003i
\(156\) −3.81676 + 0.364456i −0.305585 + 0.0291799i
\(157\) −3.24784 2.55413i −0.259206 0.203842i 0.480096 0.877216i \(-0.340602\pi\)
−0.739302 + 0.673374i \(0.764844\pi\)
\(158\) 6.13691 + 11.9040i 0.488227 + 0.947028i
\(159\) 0.578176 1.67053i 0.0458524 0.132482i
\(160\) 17.8170 1.40856
\(161\) −7.57722 + 10.1777i −0.597168 + 0.802116i
\(162\) 2.56502 0.201527
\(163\) −0.503754 + 1.45550i −0.0394570 + 0.114004i −0.963009 0.269471i \(-0.913151\pi\)
0.923552 + 0.383474i \(0.125273\pi\)
\(164\) −8.00709 15.5316i −0.625249 1.21281i
\(165\) 1.48404 + 1.16706i 0.115533 + 0.0908558i
\(166\) 35.9367 3.43153i 2.78923 0.266339i
\(167\) −21.3595 + 3.07103i −1.65284 + 0.237643i −0.904748 0.425947i \(-0.859941\pi\)
−0.748096 + 0.663590i \(0.769032\pi\)
\(168\) −17.1974 3.26433i −1.32680 0.251848i
\(169\) 10.3466 6.64933i 0.795890 0.511487i
\(170\) 14.6888 20.6276i 1.12658 1.58206i
\(171\) −0.954699 + 3.93532i −0.0730077 + 0.300942i
\(172\) −24.6302 + 8.52459i −1.87803 + 0.649994i
\(173\) −0.610450 + 3.16732i −0.0464117 + 0.240807i −0.997725 0.0674198i \(-0.978523\pi\)
0.951313 + 0.308226i \(0.0997354\pi\)
\(174\) 7.27204 + 24.7663i 0.551292 + 1.87753i
\(175\) 4.24398 2.46622i 0.320815 0.186429i
\(176\) 3.04533 + 4.73862i 0.229550 + 0.357187i
\(177\) −1.36675 5.63383i −0.102731 0.423464i
\(178\) 9.27005 + 3.71117i 0.694819 + 0.278164i
\(179\) 10.9541 + 15.3829i 0.818749 + 1.14977i 0.986471 + 0.163938i \(0.0524196\pi\)
−0.167722 + 0.985834i \(0.553641\pi\)
\(180\) −11.1310 + 4.45618i −0.829656 + 0.332144i
\(181\) 14.5160 + 9.32889i 1.07897 + 0.693411i 0.954319 0.298790i \(-0.0965831\pi\)
0.124649 + 0.992201i \(0.460219\pi\)
\(182\) −5.44734 + 1.61616i −0.403783 + 0.119797i
\(183\) 7.37545i 0.545209i
\(184\) −12.4957 + 29.1653i −0.921192 + 2.15010i
\(185\) −25.5993 14.7797i −1.88210 1.08663i
\(186\) −17.5043 + 3.37368i −1.28348 + 0.247370i
\(187\) 2.71585 + 0.129372i 0.198602 + 0.00946060i
\(188\) −22.5125 3.23680i −1.64189 0.236068i
\(189\) 2.59652 0.508024i 0.188869 0.0369533i
\(190\) −3.87036 26.9189i −0.280785 1.95290i
\(191\) −13.6565 + 3.31302i −0.988147 + 0.239722i −0.697090 0.716984i \(-0.745522\pi\)
−0.291057 + 0.956706i \(0.594007\pi\)
\(192\) −1.82942 + 0.0871458i −0.132027 + 0.00628921i
\(193\) −11.9887 1.14478i −0.862967 0.0824034i −0.345821 0.938301i \(-0.612400\pi\)
−0.517146 + 0.855897i \(0.673006\pi\)
\(194\) −5.55059 5.29247i −0.398509 0.379977i
\(195\) −1.43557 + 1.65673i −0.102803 + 0.118641i
\(196\) −32.0548 + 0.180509i −2.28963 + 0.0128935i
\(197\) 0.0139873 0.00410704i 0.000996554 0.000292615i −0.281234 0.959639i \(-0.590744\pi\)
0.282231 + 0.959347i \(0.408926\pi\)
\(198\) −1.50663 1.07286i −0.107071 0.0762451i
\(199\) −1.26803 26.6193i −0.0898885 1.88699i −0.372894 0.927874i \(-0.621635\pi\)
0.283006 0.959118i \(-0.408668\pi\)
\(200\) 8.88340 8.47031i 0.628151 0.598941i
\(201\) 6.09821 4.79569i 0.430135 0.338262i
\(202\) 19.7411 + 9.01547i 1.38898 + 0.634326i
\(203\) 12.2665 + 23.6301i 0.860940 + 1.65851i
\(204\) −9.33524 + 14.5259i −0.653598 + 1.01702i
\(205\) −9.44139 3.26770i −0.659415 0.228226i
\(206\) −14.6560 + 25.3850i −1.02113 + 1.76865i
\(207\) 0.115009 4.79445i 0.00799371 0.333237i
\(208\) −5.66417 + 3.27021i −0.392739 + 0.226748i
\(209\) 2.20678 1.91219i 0.152646 0.132269i
\(210\) −14.9207 + 9.64844i −1.02963 + 0.665806i
\(211\) 3.49172 24.2854i 0.240380 1.67188i −0.409859 0.912149i \(-0.634422\pi\)
0.650239 0.759730i \(-0.274669\pi\)
\(212\) −0.769493 8.05849i −0.0528490 0.553459i
\(213\) 1.40292 3.50433i 0.0961265 0.240112i
\(214\) 13.1254 + 13.7655i 0.897235 + 0.940993i
\(215\) −6.82849 + 13.2454i −0.465699 + 0.903331i
\(216\) 6.01817 2.74841i 0.409485 0.187005i
\(217\) −17.0511 + 6.88198i −1.15750 + 0.467180i
\(218\) −29.1351 25.2457i −1.97328 1.70985i
\(219\) −4.84813 0.934400i −0.327606 0.0631409i
\(220\) 8.40193 + 2.03829i 0.566458 + 0.137421i
\(221\) −0.300094 + 3.14273i −0.0201865 + 0.211403i
\(222\) 25.7394 + 13.2696i 1.72751 + 0.890595i
\(223\) 5.83727 19.8799i 0.390892 1.33126i −0.495615 0.868542i \(-0.665057\pi\)
0.886507 0.462714i \(-0.153124\pi\)
\(224\) −17.4846 + 4.29388i −1.16824 + 0.286897i
\(225\) −0.770697 + 1.68759i −0.0513798 + 0.112506i
\(226\) −16.3036 40.7244i −1.08450 2.70895i
\(227\) −20.6777 + 10.6601i −1.37243 + 0.707535i −0.977452 0.211157i \(-0.932277\pi\)
−0.394974 + 0.918692i \(0.629246\pi\)
\(228\) 3.50945 + 18.2088i 0.232419 + 1.20591i
\(229\) −0.244291 0.423124i −0.0161432 0.0279608i 0.857841 0.513915i \(-0.171805\pi\)
−0.873984 + 0.485954i \(0.838472\pi\)
\(230\) 11.2501 + 30.1795i 0.741808 + 1.98998i
\(231\) −1.73762 0.787638i −0.114327 0.0518228i
\(232\) 43.5989 + 50.3158i 2.86241 + 3.30340i
\(233\) 1.03937 21.8190i 0.0680911 1.42941i −0.663761 0.747945i \(-0.731041\pi\)
0.731852 0.681463i \(-0.238656\pi\)
\(234\) 1.32756 1.68813i 0.0867854 0.110357i
\(235\) −10.5927 + 7.54303i −0.690991 + 0.492053i
\(236\) −16.4106 20.8677i −1.06824 1.35837i
\(237\) −5.00980 1.47101i −0.325422 0.0955524i
\(238\) −9.44357 + 23.7827i −0.612136 + 1.54161i
\(239\) 7.31440 + 16.0163i 0.473129 + 1.03601i 0.984296 + 0.176527i \(0.0564861\pi\)
−0.511167 + 0.859481i \(0.670787\pi\)
\(240\) −14.1141 + 14.8024i −0.911060 + 0.955492i
\(241\) 4.15833 + 12.0147i 0.267862 + 0.773936i 0.996069 + 0.0885791i \(0.0282326\pi\)
−0.728207 + 0.685357i \(0.759646\pi\)
\(242\) −8.79209 25.4031i −0.565177 1.63297i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) −14.0305 30.7225i −0.898211 1.96681i
\(245\) −13.1930 + 12.7221i −0.842870 + 0.812785i
\(246\) 9.39128 + 2.75753i 0.598766 + 0.175814i
\(247\) 2.09586 + 2.66510i 0.133356 + 0.169576i
\(248\) −37.4545 + 26.6712i −2.37836 + 1.69363i
\(249\) −8.69997 + 11.0629i −0.551338 + 0.701084i
\(250\) −1.00492 + 21.0958i −0.0635567 + 1.33422i
\(251\) 0.830013 + 0.957886i 0.0523900 + 0.0604613i 0.781340 0.624106i \(-0.214537\pi\)
−0.728950 + 0.684567i \(0.759991\pi\)
\(252\) 9.84940 7.05560i 0.620454 0.444461i
\(253\) −2.07292 + 2.76803i −0.130323 + 0.174025i
\(254\) −6.16830 10.6838i −0.387034 0.670362i
\(255\) 1.86838 + 9.69406i 0.117002 + 0.607066i
\(256\) 23.5742 12.1533i 1.47338 0.759583i
\(257\) −6.73308 16.8184i −0.419998 1.04910i −0.975970 0.217903i \(-0.930078\pi\)
0.555972 0.831201i \(-0.312346\pi\)
\(258\) 6.06466 13.2797i 0.377569 0.826761i
\(259\) 28.6836 + 8.33461i 1.78231 + 0.517887i
\(260\) −2.82823 + 9.63206i −0.175399 + 0.597355i
\(261\) −8.94436 4.61114i −0.553642 0.285422i
\(262\) −3.96395 + 41.5123i −0.244893 + 2.56464i
\(263\) 6.99454 + 1.69686i 0.431302 + 0.104633i 0.445532 0.895266i \(-0.353015\pi\)
−0.0142299 + 0.999899i \(0.504530\pi\)
\(264\) −4.68448 0.902860i −0.288310 0.0555672i
\(265\) −3.49793 3.03098i −0.214876 0.186191i
\(266\) 10.2856 + 25.4840i 0.630650 + 1.56252i
\(267\) −3.54109 + 1.61716i −0.216711 + 0.0989686i
\(268\) 16.2792 31.5772i 0.994410 1.92889i
\(269\) −20.1701 21.1538i −1.22979 1.28977i −0.943400 0.331656i \(-0.892393\pi\)
−0.286391 0.958113i \(-0.592456\pi\)
\(270\) 2.49604 6.23480i 0.151904 0.379438i
\(271\) −0.426831 4.46998i −0.0259282 0.271532i −0.999134 0.0415981i \(-0.986755\pi\)
0.973206 0.229934i \(-0.0738510\pi\)
\(272\) −4.19186 + 29.1550i −0.254169 + 1.76778i
\(273\) 1.00951 1.97180i 0.0610986 0.119338i
\(274\) 32.4820 28.1458i 1.96231 1.70035i
\(275\) 1.15855 0.668890i 0.0698633 0.0403356i
\(276\) −8.64153 20.1901i −0.520159 1.21530i
\(277\) −9.30101 + 16.1098i −0.558844 + 0.967946i 0.438750 + 0.898609i \(0.355422\pi\)
−0.997593 + 0.0693365i \(0.977912\pi\)
\(278\) −43.4021 15.0216i −2.60308 0.900936i
\(279\) 3.75736 5.84657i 0.224947 0.350025i
\(280\) −24.6695 + 38.6251i −1.47428 + 2.30829i
\(281\) 0.243444 + 0.111177i 0.0145226 + 0.00663226i 0.422663 0.906287i \(-0.361095\pi\)
−0.408140 + 0.912919i \(0.633823\pi\)
\(282\) 10.0140 7.87507i 0.596323 0.468954i
\(283\) −12.3961 + 11.8197i −0.736871 + 0.702605i −0.962402 0.271631i \(-0.912437\pi\)
0.225530 + 0.974236i \(0.427589\pi\)
\(284\) −0.822486 17.2661i −0.0488056 1.02456i
\(285\) 8.63658 + 6.15008i 0.511587 + 0.364299i
\(286\) −1.48586 + 0.436289i −0.0878610 + 0.0257983i
\(287\) 10.0528 + 0.931367i 0.593395 + 0.0549768i
\(288\) 4.45628 5.14282i 0.262589 0.303043i
\(289\) −2.01366 1.92002i −0.118451 0.112943i
\(290\) 67.2759 + 6.42407i 3.95058 + 0.377234i
\(291\) 2.98660 0.142269i 0.175077 0.00833996i
\(292\) −21.9724 + 5.33046i −1.28584 + 0.311941i
\(293\) 1.80677 + 12.5663i 0.105552 + 0.734133i 0.972020 + 0.234899i \(0.0754760\pi\)
−0.866467 + 0.499234i \(0.833615\pi\)
\(294\) 12.3171 13.0643i 0.718348 0.761927i
\(295\) −15.0241 2.16015i −0.874739 0.125769i
\(296\) 74.6091 + 3.55407i 4.33657 + 0.206576i
\(297\) 0.708049 0.136465i 0.0410851 0.00791851i
\(298\) 12.5210 + 7.22902i 0.725324 + 0.418766i
\(299\) −3.09587 2.55712i −0.179039 0.147882i
\(300\) 8.49580i 0.490505i
\(301\) 3.50896 14.6440i 0.202253 0.844065i
\(302\) −5.51173 3.54217i −0.317164 0.203829i
\(303\) −7.85480 + 3.14459i −0.451247 + 0.180652i
\(304\) 18.3489 + 25.7675i 1.05238 + 1.47787i
\(305\) −17.9275 7.17710i −1.02653 0.410960i
\(306\) −2.28020 9.39912i −0.130351 0.537312i
\(307\) −3.26169 5.07529i −0.186155 0.289662i 0.735615 0.677400i \(-0.236893\pi\)
−0.921770 + 0.387737i \(0.873257\pi\)
\(308\) −8.73641 + 0.0245982i −0.497803 + 0.00140162i
\(309\) −3.21952 10.9647i −0.183152 0.623760i
\(310\) −8.83314 + 45.8307i −0.501689 + 2.60301i
\(311\) 11.5034 3.98138i 0.652300 0.225763i 0.0191789 0.999816i \(-0.493895\pi\)
0.633121 + 0.774053i \(0.281774\pi\)
\(312\) 1.30596 5.38324i 0.0739355 0.304766i
\(313\) −4.10862 + 5.76975i −0.232233 + 0.326125i −0.914204 0.405253i \(-0.867183\pi\)
0.681972 + 0.731379i \(0.261123\pi\)
\(314\) 8.91582 5.72985i 0.503149 0.323354i
\(315\) 1.29183 6.80573i 0.0727865 0.383459i
\(316\) −23.6667 + 3.40276i −1.33136 + 0.191420i
\(317\) −3.74754 + 0.357846i −0.210483 + 0.0200986i −0.199765 0.979844i \(-0.564018\pi\)
−0.0107179 + 0.999943i \(0.503412\pi\)
\(318\) 3.56423 + 2.80294i 0.199872 + 0.157181i
\(319\) 3.32500 + 6.44960i 0.186164 + 0.361108i
\(320\) −1.56839 + 4.53157i −0.0876757 + 0.253322i
\(321\) −7.41521 −0.413876
\(322\) −18.3134 26.9052i −1.02057 1.49937i
\(323\) 15.2691 0.849594
\(324\) −1.49775 + 4.32748i −0.0832085 + 0.240415i
\(325\) 0.711779 + 1.38066i 0.0394824 + 0.0765852i
\(326\) −3.10544 2.44215i −0.171994 0.135258i
\(327\) 14.9615 1.42865i 0.827375 0.0790048i
\(328\) 24.9889 3.59287i 1.37978 0.198383i
\(329\) 8.57721 9.95513i 0.472877 0.548844i
\(330\) −4.07392 + 2.61815i −0.224262 + 0.144124i
\(331\) 4.58009 6.43184i 0.251745 0.353526i −0.669294 0.742998i \(-0.733403\pi\)
0.921038 + 0.389472i \(0.127343\pi\)
\(332\) −15.1946 + 62.6328i −0.833910 + 3.43742i
\(333\) −10.6688 + 3.69252i −0.584649 + 0.202349i
\(334\) 10.4752 54.3506i 0.573179 2.97393i
\(335\) −5.72267 19.4896i −0.312663 1.06483i
\(336\) 10.2834 17.9277i 0.561005 0.978038i
\(337\) 4.93199 + 7.67433i 0.268663 + 0.418048i 0.949204 0.314663i \(-0.101891\pi\)
−0.680541 + 0.732710i \(0.738255\pi\)
\(338\) 7.43753 + 30.6579i 0.404548 + 1.66757i
\(339\) 15.8768 + 6.35613i 0.862312 + 0.345218i
\(340\) 26.2240 + 36.8264i 1.42220 + 1.99719i
\(341\) −4.65240 + 1.86254i −0.251942 + 0.100862i
\(342\) −8.73809 5.61563i −0.472502 0.303658i
\(343\) 9.88085 15.6643i 0.533516 0.845790i
\(344\) 37.6558i 2.03026i
\(345\) −11.5420 4.94506i −0.621399 0.266233i
\(346\) −7.16528 4.13688i −0.385208 0.222400i
\(347\) 30.6318 5.90380i 1.64440 0.316933i 0.718739 0.695280i \(-0.244719\pi\)
0.925664 + 0.378347i \(0.123507\pi\)
\(348\) −46.0297 2.19267i −2.46745 0.117539i
\(349\) −0.872753 0.125483i −0.0467174 0.00671695i 0.118917 0.992904i \(-0.462058\pi\)
−0.165634 + 0.986187i \(0.552967\pi\)
\(350\) 2.41756 + 12.3562i 0.129224 + 0.660466i
\(351\) 0.119155 + 0.828743i 0.00636004 + 0.0442351i
\(352\) −4.76857 + 1.15684i −0.254166 + 0.0616599i
\(353\) 15.6559 0.745782i 0.833279 0.0396940i 0.373395 0.927673i \(-0.378194\pi\)
0.459885 + 0.887979i \(0.347891\pi\)
\(354\) 14.8027 + 1.41349i 0.786755 + 0.0751260i
\(355\) −7.15278 6.82016i −0.379630 0.361977i
\(356\) −11.6741 + 13.4726i −0.618724 + 0.714046i
\(357\) −4.16978 9.06293i −0.220688 0.479661i
\(358\) −46.4771 + 13.6469i −2.45639 + 0.721262i
\(359\) 11.4156 + 8.12899i 0.602491 + 0.429032i 0.840179 0.542310i \(-0.182450\pi\)
−0.237688 + 0.971342i \(0.576390\pi\)
\(360\) −0.824237 17.3029i −0.0434411 0.911941i
\(361\) −1.88299 + 1.79543i −0.0991047 + 0.0944962i
\(362\) −34.7908 + 27.3597i −1.82856 + 1.43800i
\(363\) 9.53298 + 4.35357i 0.500352 + 0.228503i
\(364\) 0.454146 10.1340i 0.0238037 0.531164i
\(365\) −6.98899 + 10.8751i −0.365820 + 0.569228i
\(366\) 17.8777 + 6.18754i 0.934483 + 0.323428i
\(367\) −2.62829 + 4.55232i −0.137195 + 0.237629i −0.926434 0.376457i \(-0.877142\pi\)
0.789239 + 0.614087i \(0.210475\pi\)
\(368\) −27.7164 25.2052i −1.44482 1.31391i
\(369\) −3.30463 + 1.90793i −0.172032 + 0.0993228i
\(370\) 57.3015 49.6520i 2.97896 2.58129i
\(371\) 4.16314 + 2.13143i 0.216139 + 0.110658i
\(372\) 4.52925 31.5016i 0.234831 1.63328i
\(373\) −2.94285 30.8189i −0.152375 1.59574i −0.671474 0.741029i \(-0.734338\pi\)
0.519099 0.854714i \(-0.326268\pi\)
\(374\) −2.59201 + 6.47453i −0.134030 + 0.334790i
\(375\) −5.68194 5.95905i −0.293414 0.307724i
\(376\) 15.0571 29.2068i 0.776513 1.50622i
\(377\) −7.66403 + 3.50004i −0.394717 + 0.180261i
\(378\) −0.946890 + 6.72003i −0.0487027 + 0.345641i
\(379\) 24.5932 + 21.3101i 1.26327 + 1.09463i 0.991203 + 0.132348i \(0.0422517\pi\)
0.272064 + 0.962279i \(0.412294\pi\)
\(380\) 47.6752 + 9.18864i 2.44569 + 0.471367i
\(381\) 4.67398 + 1.13389i 0.239455 + 0.0580912i
\(382\) 3.42631 35.8820i 0.175305 1.83588i
\(383\) 8.43006 + 4.34600i 0.430756 + 0.222070i 0.659948 0.751311i \(-0.270578\pi\)
−0.229192 + 0.973381i \(0.573608\pi\)
\(384\) −2.51081 + 8.55103i −0.128129 + 0.436368i
\(385\) −3.60540 + 3.45717i −0.183748 + 0.176194i
\(386\) 12.8327 28.0996i 0.653166 1.43023i
\(387\) 2.11535 + 5.28388i 0.107529 + 0.268595i
\(388\) 12.1701 6.27410i 0.617841 0.318519i
\(389\) 2.76531 + 14.3478i 0.140207 + 0.727461i 0.982180 + 0.187942i \(0.0601818\pi\)
−0.841973 + 0.539519i \(0.818606\pi\)
\(390\) −2.81149 4.86964i −0.142365 0.246584i
\(391\) −17.6708 + 3.84064i −0.893649 + 0.194230i
\(392\) 14.9006 43.8498i 0.752594 2.21475i
\(393\) −10.6465 12.2867i −0.537044 0.619782i
\(394\) −0.00177920 + 0.0373500i −8.96348e−5 + 0.00188167i
\(395\) −8.45066 + 10.7459i −0.425199 + 0.540684i
\(396\) 2.68978 1.91539i 0.135167 0.0962517i
\(397\) 17.0243 + 21.6482i 0.854425 + 1.08649i 0.995336 + 0.0964679i \(0.0307545\pi\)
−0.140911 + 0.990022i \(0.545003\pi\)
\(398\) 65.5876 + 19.2583i 3.28761 + 0.965329i
\(399\) −9.95761 3.95393i −0.498504 0.197944i
\(400\) 6.02041 + 13.1829i 0.301020 + 0.659143i
\(401\) 8.95132 9.38788i 0.447008 0.468808i −0.461219 0.887286i \(-0.652588\pi\)
0.908227 + 0.418478i \(0.137436\pi\)
\(402\) 6.50848 + 18.8050i 0.324613 + 0.937909i
\(403\) −1.90316 5.49882i −0.0948031 0.273916i
\(404\) −26.7372 + 28.0412i −1.33023 + 1.39510i
\(405\) 1.08766 + 2.38165i 0.0540463 + 0.118345i
\(406\) −67.5690 + 9.90921i −3.35339 + 0.491786i
\(407\) 7.81107 + 2.29354i 0.387180 + 0.113686i
\(408\) −15.4210 19.6094i −0.763454 0.970811i
\(409\) −4.74467 + 3.37866i −0.234609 + 0.167064i −0.691315 0.722553i \(-0.742968\pi\)
0.456706 + 0.889617i \(0.349029\pi\)
\(410\) 15.8414 20.1440i 0.782353 0.994843i
\(411\) −0.797289 + 16.7372i −0.0393274 + 0.825583i
\(412\) −34.2694 39.5490i −1.68833 1.94844i
\(413\) 15.2644 1.50096i 0.751114 0.0738574i
\(414\) 11.5250 + 4.30102i 0.566424 + 0.211383i
\(415\) 18.4246 + 31.9124i 0.904430 + 1.56652i
\(416\) −1.07826 5.59456i −0.0528662 0.274296i
\(417\) 15.9151 8.20479i 0.779365 0.401790i
\(418\) 2.78369 + 6.95333i 0.136155 + 0.340098i
\(419\) −5.34880 + 11.7122i −0.261306 + 0.572181i −0.994124 0.108244i \(-0.965477\pi\)
0.732818 + 0.680424i \(0.238205\pi\)
\(420\) −7.56556 30.8068i −0.369161 1.50322i
\(421\) −6.87556 + 23.4160i −0.335094 + 1.14123i 0.603833 + 0.797111i \(0.293639\pi\)
−0.938927 + 0.344116i \(0.888179\pi\)
\(422\) 55.9373 + 28.8377i 2.72298 + 1.40380i
\(423\) −0.472110 + 4.94416i −0.0229548 + 0.240393i
\(424\) 11.3659 + 2.75733i 0.551976 + 0.133908i
\(425\) 6.86904 + 1.32390i 0.333197 + 0.0642185i
\(426\) 7.31734 + 6.34051i 0.354526 + 0.307199i
\(427\) 19.3227 + 2.72268i 0.935093 + 0.131760i
\(428\) −30.8881 + 14.1061i −1.49303 + 0.681845i
\(429\) 0.276647 0.536621i 0.0133567 0.0259083i
\(430\) −26.3775 27.6640i −1.27204 1.33408i
\(431\) −3.65806 + 9.13739i −0.176203 + 0.440133i −0.990009 0.141003i \(-0.954967\pi\)
0.813807 + 0.581136i \(0.197391\pi\)
\(432\) 0.742543 + 7.77627i 0.0357256 + 0.374136i
\(433\) −5.20997 + 36.2361i −0.250375 + 1.74140i 0.345588 + 0.938386i \(0.387679\pi\)
−0.595963 + 0.803012i \(0.703230\pi\)
\(434\) −2.37681 47.1044i −0.114090 2.26109i
\(435\) −19.9121 + 17.2540i −0.954713 + 0.827264i
\(436\) 59.6047 34.4128i 2.85455 1.64807i
\(437\) −10.8883 + 16.0811i −0.520860 + 0.769266i
\(438\) 6.33221 10.9677i 0.302564 0.524057i
\(439\) 9.94113 + 3.44066i 0.474464 + 0.164214i 0.553826 0.832632i \(-0.313167\pi\)
−0.0793621 + 0.996846i \(0.525288\pi\)
\(440\) −6.75309 + 10.5080i −0.321941 + 0.500950i
\(441\) 0.372442 + 6.99008i 0.0177353 + 0.332861i
\(442\) −7.36604 3.36396i −0.350367 0.160007i
\(443\) −23.6481 + 18.5971i −1.12356 + 0.883575i −0.994149 0.108017i \(-0.965550\pi\)
−0.129407 + 0.991592i \(0.541307\pi\)
\(444\) −37.4168 + 35.6769i −1.77572 + 1.69315i
\(445\) 0.484981 + 10.1810i 0.0229903 + 0.482625i
\(446\) 43.2907 + 30.8272i 2.04988 + 1.45971i
\(447\) −5.40829 + 1.58802i −0.255804 + 0.0751107i
\(448\) 0.447027 4.82500i 0.0211200 0.227960i
\(449\) 6.71892 7.75405i 0.317086 0.365936i −0.574724 0.818347i \(-0.694891\pi\)
0.891810 + 0.452411i \(0.149436\pi\)
\(450\) −3.44407 3.28391i −0.162355 0.154805i
\(451\) 2.73908 + 0.261550i 0.128978 + 0.0123159i
\(452\) 78.2266 3.72639i 3.67947 0.175275i
\(453\) 2.48229 0.602196i 0.116628 0.0282937i
\(454\) −8.49223 59.0648i −0.398560 2.77205i
\(455\) −3.81048 4.37259i −0.178638 0.204990i
\(456\) −26.5188 3.81283i −1.24186 0.178552i
\(457\) −26.9701 1.28474i −1.26161 0.0600978i −0.593911 0.804531i \(-0.702417\pi\)
−0.667697 + 0.744433i \(0.732720\pi\)
\(458\) 1.23057 0.237174i 0.0575010 0.0110824i
\(459\) 3.26546 + 1.88532i 0.152419 + 0.0879990i
\(460\) −57.4853 + 1.35785i −2.68027 + 0.0633102i
\(461\) 24.9720i 1.16306i −0.813524 0.581531i \(-0.802454\pi\)
0.813524 0.581531i \(-0.197546\pi\)
\(462\) 3.36694 3.55112i 0.156644 0.165213i
\(463\) 0.452782 + 0.290985i 0.0210426 + 0.0135232i 0.551120 0.834426i \(-0.314201\pi\)
−0.530077 + 0.847949i \(0.677837\pi\)
\(464\) −72.9777 + 29.2159i −3.38791 + 1.35631i
\(465\) −10.5549 14.8224i −0.489474 0.687370i
\(466\) 52.0161 + 20.8241i 2.40960 + 0.964657i
\(467\) −4.76661 19.6482i −0.220572 0.909211i −0.969211 0.246233i \(-0.920807\pi\)
0.748639 0.662978i \(-0.230708\pi\)
\(468\) 2.07288 + 3.22547i 0.0958190 + 0.149097i
\(469\) 10.3129 + 17.7469i 0.476205 + 0.819474i
\(470\) −9.39730 32.0043i −0.433465 1.47625i
\(471\) −0.781955 + 4.05717i −0.0360306 + 0.186945i
\(472\) 36.2453 12.5446i 1.66833 0.577414i
\(473\) 0.967574 3.98840i 0.0444891 0.183387i
\(474\) 7.76856 10.9094i 0.356822 0.501086i
\(475\) 6.32014 4.06171i 0.289988 0.186364i
\(476\) −34.6099 29.8194i −1.58634 1.36677i
\(477\) −1.74976 + 0.251578i −0.0801161 + 0.0115190i
\(478\) −44.9590 + 4.29306i −2.05638 + 0.196360i
\(479\) −12.8065 10.0711i −0.585142 0.460161i 0.281174 0.959657i \(-0.409276\pi\)
−0.866316 + 0.499496i \(0.833518\pi\)
\(480\) −8.16422 15.8364i −0.372644 0.722829i
\(481\) −3.09162 + 8.93266i −0.140966 + 0.407294i
\(482\) −32.6116 −1.48542
\(483\) 12.5184 + 2.07120i 0.569607 + 0.0942431i
\(484\) 47.9916 2.18144
\(485\) 2.56046 7.39797i 0.116265 0.335924i
\(486\) −1.17536 2.27988i −0.0533155 0.103418i
\(487\) −3.28208 2.58106i −0.148725 0.116959i 0.541024 0.841007i \(-0.318037\pi\)
−0.689749 + 0.724048i \(0.742279\pi\)
\(488\) 48.5754 4.63839i 2.19891 0.209970i
\(489\) 1.52453 0.219195i 0.0689418 0.00991234i
\(490\) −19.7696 42.6522i −0.893100 1.92683i
\(491\) 22.3094 14.3374i 1.00681 0.647036i 0.0702425 0.997530i \(-0.477623\pi\)
0.936565 + 0.350494i \(0.113986\pi\)
\(492\) −10.1360 + 14.2340i −0.456965 + 0.641717i
\(493\) −8.94562 + 36.8744i −0.402891 + 1.66074i
\(494\) −8.21836 + 2.84440i −0.369761 + 0.127976i
\(495\) 0.357300 1.85385i 0.0160595 0.0833244i
\(496\) −15.2951 52.0904i −0.686772 2.33893i
\(497\) 8.66299 + 4.96911i 0.388588 + 0.222895i
\(498\) −19.5172 30.3693i −0.874586 1.36088i
\(499\) −2.17782 8.97708i −0.0974924 0.401869i 0.902066 0.431599i \(-0.142050\pi\)
−0.999558 + 0.0297298i \(0.990535\pi\)
\(500\) −35.0042 14.0136i −1.56544 0.626707i
\(501\) 12.5171 + 17.5778i 0.559223 + 0.785319i
\(502\) −3.01819 + 1.20830i −0.134709 + 0.0539292i
\(503\) −6.95319 4.46855i −0.310028 0.199243i 0.376369 0.926470i \(-0.377172\pi\)
−0.686397 + 0.727227i \(0.740809\pi\)
\(504\) 4.97883 + 16.7814i 0.221775 + 0.747504i
\(505\) 22.1527i 0.985782i
\(506\) −4.97052 7.34684i −0.220967 0.326607i
\(507\) −10.6512 6.14949i −0.473038 0.273109i
\(508\) 21.6265 4.16817i 0.959522 0.184933i
\(509\) −22.8655 1.08922i −1.01350 0.0482788i −0.465744 0.884920i \(-0.654213\pi\)
−0.547752 + 0.836641i \(0.684516\pi\)
\(510\) −25.0653 3.60385i −1.10991 0.159581i
\(511\) 4.23772 12.3565i 0.187465 0.546621i
\(512\) 7.14517 + 49.6958i 0.315775 + 2.19626i
\(513\) 3.93532 0.954699i 0.173749 0.0421510i
\(514\) 46.4156 2.21105i 2.04730 0.0975251i
\(515\) −29.7848 2.84411i −1.31248 0.125326i
\(516\) 18.8632 + 17.9860i 0.830404 + 0.791789i
\(517\) 2.34528 2.70660i 0.103146 0.119036i
\(518\) −44.2663 + 62.5353i −1.94495 + 2.74764i
\(519\) 3.09495 0.908759i 0.135853 0.0398901i
\(520\) −11.8142 8.41287i −0.518088 0.368929i
\(521\) 0.703244 + 14.7629i 0.0308097 + 0.646775i 0.960474 + 0.278368i \(0.0897936\pi\)
−0.929665 + 0.368407i \(0.879903\pi\)
\(522\) 18.6809 17.8122i 0.817641 0.779619i
\(523\) −31.4628 + 24.7426i −1.37577 + 1.08192i −0.388747 + 0.921344i \(0.627092\pi\)
−0.987024 + 0.160574i \(0.948665\pi\)
\(524\) −67.7213 30.9273i −2.95842 1.35106i
\(525\) −4.13677 2.64211i −0.180543 0.115311i
\(526\) −9.98107 + 15.5309i −0.435195 + 0.677177i
\(527\) −24.7640 8.57090i −1.07874 0.373354i
\(528\) 2.81641 4.87816i 0.122568 0.212295i
\(529\) 8.55607 21.3493i 0.372003 0.928231i
\(530\) 10.2815 5.93601i 0.446599 0.257844i
\(531\) −4.38126 + 3.79638i −0.190131 + 0.164749i
\(532\) −49.0002 + 2.47246i −2.12443 + 0.107195i
\(533\) −0.454680 + 3.16237i −0.0196944 + 0.136977i
\(534\) −0.949165 9.94010i −0.0410744 0.430150i
\(535\) −7.21578 + 18.0242i −0.311965 + 0.779252i
\(536\) 35.4200 + 37.1474i 1.52991 + 1.60452i
\(537\) 8.65340 16.7853i 0.373422 0.724337i
\(538\) 68.1971 31.1446i 2.94018 1.34274i
\(539\) 2.70496 4.26157i 0.116511 0.183559i
\(540\) 9.06133 + 7.85169i 0.389937 + 0.337883i
\(541\) 42.8509 + 8.25883i 1.84230 + 0.355075i 0.986699 0.162557i \(-0.0519741\pi\)
0.855604 + 0.517632i \(0.173186\pi\)
\(542\) 11.1931 + 2.71541i 0.480784 + 0.116637i
\(543\) 1.64021 17.1771i 0.0703883 0.737140i
\(544\) −22.8065 11.7576i −0.977821 0.504102i
\(545\) 11.0865 37.7573i 0.474895 1.61734i
\(546\) 3.93261 + 4.10122i 0.168300 + 0.175516i
\(547\) 5.85967 12.8309i 0.250542 0.548609i −0.742017 0.670382i \(-0.766130\pi\)
0.992558 + 0.121772i \(0.0388577\pi\)
\(548\) 28.5184 + 71.2355i 1.21825 + 3.04303i
\(549\) −6.55557 + 3.37963i −0.279785 + 0.144239i
\(550\) 0.649403 + 3.36942i 0.0276907 + 0.143673i
\(551\) 20.3750 + 35.2904i 0.868002 + 1.50342i
\(552\) 31.6490 2.25775i 1.34707 0.0960961i
\(553\) 5.70325 12.5820i 0.242527 0.535041i
\(554\) −31.2464 36.0603i −1.32753 1.53205i
\(555\) −1.40650 + 29.5260i −0.0597025 + 1.25331i
\(556\) 50.6862 64.4528i 2.14957 2.73341i
\(557\) −20.4742 + 14.5796i −0.867519 + 0.617757i −0.924738 0.380604i \(-0.875716\pi\)
0.0572191 + 0.998362i \(0.481777\pi\)
\(558\) 11.0196 + 14.0125i 0.466496 + 0.593198i
\(559\) 4.57234 + 1.34256i 0.193389 + 0.0567842i
\(560\) −33.5701 42.4414i −1.41860 1.79348i
\(561\) −1.12948 2.47322i −0.0476868 0.104420i
\(562\) −0.473721 + 0.496824i −0.0199827 + 0.0209573i
\(563\) −11.4044 32.9508i −0.480638 1.38871i −0.881331 0.472499i \(-0.843352\pi\)
0.400693 0.916212i \(-0.368769\pi\)
\(564\) 7.43882 + 21.4931i 0.313231 + 0.905021i
\(565\) 30.8997 32.4067i 1.29996 1.36336i
\(566\) −18.2507 39.9634i −0.767133 1.67979i
\(567\) −1.64134 2.07509i −0.0689300 0.0871455i
\(568\) 23.9621 + 7.03591i 1.00543 + 0.295220i
\(569\) −11.3888 14.4821i −0.477445 0.607120i 0.486351 0.873764i \(-0.338328\pi\)
−0.963795 + 0.266644i \(0.914085\pi\)
\(570\) −22.1530 + 15.7751i −0.927887 + 0.660745i
\(571\) 14.6991 18.6914i 0.615138 0.782211i −0.374278 0.927316i \(-0.622110\pi\)
0.989416 + 0.145105i \(0.0463520\pi\)
\(572\) 0.131550 2.76157i 0.00550038 0.115467i
\(573\) 9.20249 + 10.6202i 0.384439 + 0.443667i
\(574\) −10.6912 + 23.5860i −0.446242 + 0.984460i
\(575\) −6.29260 + 6.29029i −0.262420 + 0.262323i
\(576\) 0.915745 + 1.58612i 0.0381561 + 0.0660882i
\(577\) −8.48733 44.0364i −0.353332 1.83326i −0.528763 0.848770i \(-0.677344\pi\)
0.175431 0.984492i \(-0.443868\pi\)
\(578\) 6.34337 3.27024i 0.263850 0.136024i
\(579\) 4.47602 + 11.1806i 0.186017 + 0.464649i
\(580\) −50.1215 + 109.751i −2.08118 + 4.55715i
\(581\) −25.7718 26.8767i −1.06919 1.11503i
\(582\) −2.16071 + 7.35871i −0.0895644 + 0.305028i
\(583\) 1.13299 + 0.584098i 0.0469237 + 0.0241909i
\(584\) 3.10508 32.5178i 0.128489 1.34560i
\(585\) 2.13038 + 0.516824i 0.0880803 + 0.0213681i
\(586\) −31.9759 6.16285i −1.32091 0.254585i
\(587\) 20.8741 + 18.0875i 0.861565 + 0.746550i 0.968842 0.247679i \(-0.0796678\pi\)
−0.107277 + 0.994229i \(0.534213\pi\)
\(588\) 14.8488 + 28.4088i 0.612355 + 1.17156i
\(589\) −25.5999 + 11.6911i −1.05483 + 0.481723i
\(590\) 17.8404 34.6055i 0.734477 1.42469i
\(591\) −0.0100598 0.0105505i −0.000413806 0.000433988i
\(592\) −32.7775 + 81.8743i −1.34715 + 3.36501i
\(593\) −3.16381 33.1330i −0.129922 1.36061i −0.791701 0.610908i \(-0.790804\pi\)
0.661779 0.749699i \(-0.269802\pi\)
\(594\) −0.263223 + 1.83076i −0.0108002 + 0.0751169i
\(595\) −26.0869 + 1.31630i −1.06946 + 0.0539630i
\(596\) −19.5074 + 16.9032i −0.799053 + 0.692383i
\(597\) −23.0791 + 13.3247i −0.944566 + 0.545345i
\(598\) 8.79557 5.35897i 0.359678 0.219145i
\(599\) −3.36957 + 5.83627i −0.137677 + 0.238463i −0.926617 0.376007i \(-0.877297\pi\)
0.788940 + 0.614470i \(0.210630\pi\)
\(600\) −11.5993 4.01456i −0.473540 0.163894i
\(601\) −19.7206 + 30.6859i −0.804420 + 1.25170i 0.159944 + 0.987126i \(0.448869\pi\)
−0.964365 + 0.264577i \(0.914768\pi\)
\(602\) 32.5524 + 20.7909i 1.32674 + 0.847374i
\(603\) −7.05694 3.22279i −0.287381 0.131242i
\(604\) 9.19442 7.23057i 0.374116 0.294208i
\(605\) 19.8588 18.9354i 0.807376 0.769832i
\(606\) −1.03264 21.6777i −0.0419481 0.880598i
\(607\) −18.4670 13.1503i −0.749552 0.533754i 0.140241 0.990117i \(-0.455212\pi\)
−0.889793 + 0.456364i \(0.849152\pi\)
\(608\) −26.4401 + 7.76352i −1.07229 + 0.314852i
\(609\) 15.3824 21.7309i 0.623328 0.880579i
\(610\) 32.4370 37.4343i 1.31333 1.51567i
\(611\) 3.00958 + 2.86963i 0.121755 + 0.116093i
\(612\) 17.1888 + 1.64133i 0.694816 + 0.0663469i
\(613\) −11.9641 + 0.569922i −0.483227 + 0.0230189i −0.287782 0.957696i \(-0.592918\pi\)
−0.195444 + 0.980715i \(0.562615\pi\)
\(614\) 15.0386 3.64832i 0.606908 0.147234i
\(615\) 1.42185 + 9.88918i 0.0573345 + 0.398770i
\(616\) 4.09468 11.9395i 0.164979 0.481054i
\(617\) 8.35468 + 1.20122i 0.336347 + 0.0483593i 0.308419 0.951251i \(-0.400200\pi\)
0.0279276 + 0.999610i \(0.491109\pi\)
\(618\) 29.2788 + 1.39472i 1.17777 + 0.0561039i
\(619\) −13.8284 + 2.66520i −0.555809 + 0.107123i −0.459418 0.888220i \(-0.651942\pi\)
−0.0963911 + 0.995344i \(0.530730\pi\)
\(620\) −72.1637 41.6637i −2.89816 1.67325i
\(621\) −4.31418 + 2.09472i −0.173122 + 0.0840582i
\(622\) 31.2238i 1.25196i
\(623\) −2.92954 9.87417i −0.117370 0.395600i
\(624\) 5.50215 + 3.53602i 0.220262 + 0.141554i
\(625\) −28.6256 + 11.4599i −1.14502 + 0.458398i
\(626\) −10.5387 14.7995i −0.421211 0.591508i
\(627\) −2.71083 1.08525i −0.108260 0.0433408i
\(628\) 4.46081 + 18.3877i 0.178006 + 0.733750i
\(629\) 23.0149 + 35.8118i 0.917663 + 1.42791i
\(630\) 15.4130 + 8.84090i 0.614067 + 0.352230i
\(631\) 5.35957 + 18.2530i 0.213361 + 0.726641i 0.994726 + 0.102567i \(0.0327055\pi\)
−0.781365 + 0.624074i \(0.785476\pi\)
\(632\) 6.53757 33.9201i 0.260051 1.34927i
\(633\) −23.1858 + 8.02467i −0.921551 + 0.318952i
\(634\) 2.27654 9.38404i 0.0904131 0.372688i
\(635\) 7.30444 10.2576i 0.289868 0.407062i
\(636\) −6.81007 + 4.37657i −0.270037 + 0.173542i
\(637\) 4.79318 + 3.37269i 0.189913 + 0.133631i
\(638\) −18.4229 + 2.64882i −0.729371 + 0.104868i
\(639\) −3.75762 + 0.358810i −0.148649 + 0.0141943i
\(640\) 18.3417 + 14.4241i 0.725020 + 0.570162i
\(641\) −5.44036 10.5528i −0.214881 0.416811i 0.756617 0.653858i \(-0.226851\pi\)
−0.971498 + 0.237047i \(0.923820\pi\)
\(642\) 6.22088 17.9741i 0.245519 0.709380i
\(643\) 12.0083 0.473560 0.236780 0.971563i \(-0.423908\pi\)
0.236780 + 0.971563i \(0.423908\pi\)
\(644\) 56.0856 15.1864i 2.21008 0.598429i
\(645\) 14.9020 0.586766
\(646\) −12.8098 + 37.0114i −0.503994 + 1.45620i
\(647\) 10.6973 + 20.7499i 0.420555 + 0.815762i 1.00000 0.000750764i \(0.000238976\pi\)
−0.579445 + 0.815011i \(0.696731\pi\)
\(648\) −5.20057 4.08977i −0.204298 0.160661i
\(649\) 4.16134 0.397360i 0.163347 0.0155977i
\(650\) −3.94378 + 0.567030i −0.154688 + 0.0222407i
\(651\) 13.9302 + 12.0021i 0.545968 + 0.470399i
\(652\) 5.93348 3.81322i 0.232373 0.149337i
\(653\) −1.53316 + 2.15302i −0.0599973 + 0.0842544i −0.843485 0.537153i \(-0.819500\pi\)
0.783487 + 0.621408i \(0.213439\pi\)
\(654\) −9.08880 + 37.4646i −0.355400 + 1.46498i
\(655\) −40.2254 + 13.9222i −1.57174 + 0.543984i
\(656\) −5.64122 + 29.2694i −0.220253 + 1.14278i
\(657\) 1.39101 + 4.73735i 0.0542686 + 0.184822i
\(658\) 16.9350 + 29.1424i 0.660194 + 1.13609i
\(659\) −13.2705 20.6493i −0.516946 0.804384i 0.480410 0.877044i \(-0.340488\pi\)
−0.997357 + 0.0726595i \(0.976851\pi\)
\(660\) −2.03829 8.40193i −0.0793402 0.327045i
\(661\) 1.38436 + 0.554214i 0.0538453 + 0.0215564i 0.398429 0.917199i \(-0.369556\pi\)
−0.344583 + 0.938756i \(0.611980\pi\)
\(662\) 11.7480 + 16.4978i 0.456600 + 0.641206i
\(663\) 2.93088 1.17335i 0.113826 0.0455690i
\(664\) −78.3327 50.3414i −3.03990 1.95362i
\(665\) −19.3006 + 20.3564i −0.748447 + 0.789387i
\(666\) 28.9585i 1.12212i
\(667\) −32.4564 35.7164i −1.25672 1.38294i
\(668\) 85.5788 + 49.4090i 3.31115 + 1.91169i
\(669\) −20.3448 + 3.92113i −0.786573 + 0.151600i
\(670\) 52.0428 + 2.47911i 2.01059 + 0.0957762i
\(671\) 5.26416 + 0.756871i 0.203221 + 0.0292187i
\(672\) 11.8285 + 13.5734i 0.456293 + 0.523604i
\(673\) 0.638756 + 4.44265i 0.0246223 + 0.171252i 0.998422 0.0561556i \(-0.0178843\pi\)
−0.973800 + 0.227407i \(0.926975\pi\)
\(674\) −22.7398 + 5.51662i −0.875905 + 0.212492i
\(675\) 1.85315 0.0882762i 0.0713276 0.00339775i
\(676\) −56.0661 5.35367i −2.15639 0.205910i
\(677\) −14.0874 13.4323i −0.541423 0.516246i 0.369274 0.929321i \(-0.379606\pi\)
−0.910697 + 0.413074i \(0.864455\pi\)
\(678\) −28.7266 + 33.1522i −1.10324 + 1.27320i
\(679\) −0.729789 + 7.87702i −0.0280067 + 0.302292i
\(680\) −62.6710 + 18.4019i −2.40332 + 0.705679i
\(681\) 18.9501 + 13.4943i 0.726171 + 0.517104i
\(682\) −0.611632 12.8397i −0.0234206 0.491659i
\(683\) −1.65940 + 1.58224i −0.0634954 + 0.0605427i −0.721162 0.692766i \(-0.756392\pi\)
0.657667 + 0.753309i \(0.271543\pi\)
\(684\) 14.5765 11.4631i 0.557346 0.438302i
\(685\) 39.9072 + 18.2250i 1.52478 + 0.696342i
\(686\) 29.6799 + 37.0920i 1.13318 + 1.41618i
\(687\) −0.264147 + 0.411021i −0.0100778 + 0.0156814i
\(688\) 42.0153 + 14.5416i 1.60182 + 0.554395i
\(689\) −0.740041 + 1.28179i −0.0281933 + 0.0488322i
\(690\) 21.6696 23.8285i 0.824946 0.907136i
\(691\) 23.6200 13.6370i 0.898547 0.518776i 0.0218182 0.999762i \(-0.493055\pi\)
0.876728 + 0.480986i \(0.159721\pi\)
\(692\) 11.1633 9.67304i 0.424364 0.367714i
\(693\) 0.0961418 + 1.90537i 0.00365212 + 0.0723791i
\(694\) −11.3877 + 79.2029i −0.432269 + 3.00650i
\(695\) −4.45634 46.6689i −0.169039 1.77025i
\(696\) 24.7443 61.8083i 0.937931 2.34284i
\(697\) 9.92899 + 10.4132i 0.376087 + 0.394429i
\(698\) 1.03635 2.01023i 0.0392263 0.0760885i
\(699\) −19.8697 + 9.07420i −0.751542 + 0.343218i
\(700\) −22.2579 3.13626i −0.841269 0.118540i
\(701\) 38.3171 + 33.2019i 1.44722 + 1.25402i 0.912555 + 0.408954i \(0.134106\pi\)
0.534662 + 0.845066i \(0.320439\pi\)
\(702\) −2.10879 0.406437i −0.0795913 0.0153400i
\(703\) 44.4289 + 10.7783i 1.67567 + 0.406513i
\(704\) 0.125536 1.31467i 0.00473131 0.0495485i
\(705\) 11.5584 + 5.95875i 0.435313 + 0.224420i
\(706\) −11.3266 + 38.5747i −0.426281 + 1.45178i
\(707\) −5.33878 21.7394i −0.200786 0.817595i
\(708\) −11.0282 + 24.1485i −0.414466 + 0.907555i
\(709\) −0.803978 2.00824i −0.0301940 0.0754211i 0.912505 0.409066i \(-0.134146\pi\)
−0.942699 + 0.333645i \(0.891721\pi\)
\(710\) 22.5324 11.6163i 0.845627 0.435951i
\(711\) 0.988138 + 5.12695i 0.0370581 + 0.192275i
\(712\) −12.8777 22.3049i −0.482614 0.835911i
\(713\) 26.6859 19.9691i 0.999393 0.747851i
\(714\) 25.4662 2.50411i 0.953050 0.0937139i
\(715\) −1.03516 1.19464i −0.0387127 0.0446769i
\(716\) 4.11482 86.3807i 0.153778 3.22820i
\(717\) 10.8842 13.8404i 0.406478 0.516879i
\(718\) −29.2812 + 20.8510i −1.09276 + 0.778154i
\(719\) 8.96608 + 11.4013i 0.334378 + 0.425197i 0.923946 0.382522i \(-0.124944\pi\)
−0.589568 + 0.807719i \(0.700702\pi\)
\(720\) 19.6244 + 5.76223i 0.731357 + 0.214746i
\(721\) 29.9146 4.38707i 1.11408 0.163383i
\(722\) −2.77231 6.07052i −0.103175 0.225921i
\(723\) 8.77365 9.20154i 0.326296 0.342209i
\(724\) −25.8441 74.6716i −0.960488 2.77515i
\(725\) 6.10615 + 17.6426i 0.226777 + 0.655229i
\(726\) −18.5504 + 19.4551i −0.688469 + 0.722046i
\(727\) 9.05305 + 19.8234i 0.335759 + 0.735210i 0.999923 0.0123767i \(-0.00393973\pi\)
−0.664164 + 0.747587i \(0.731212\pi\)
\(728\) 13.6213 + 5.40870i 0.504839 + 0.200460i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −20.4973 26.0644i −0.758639 0.964688i
\(731\) 17.4815 12.4485i 0.646577 0.460425i
\(732\) −20.8781 + 26.5487i −0.771678 + 0.981268i
\(733\) 1.13401 23.8057i 0.0418855 0.879284i −0.875969 0.482367i \(-0.839777\pi\)
0.917855 0.396917i \(-0.129920\pi\)
\(734\) −8.82963 10.1899i −0.325908 0.376117i
\(735\) 17.3532 + 5.89680i 0.640084 + 0.217507i
\(736\) 28.6461 15.6352i 1.05591 0.576319i
\(737\) 2.79707 + 4.84467i 0.103031 + 0.178456i
\(738\) −1.85234 9.61088i −0.0681857 0.353781i
\(739\) 29.7236 15.3236i 1.09340 0.563688i 0.185404 0.982662i \(-0.440641\pi\)
0.907998 + 0.418975i \(0.137610\pi\)
\(740\) 50.3093 + 125.666i 1.84941 + 4.61959i
\(741\) 1.40846 3.08409i 0.0517410 0.113297i
\(742\) −8.65909 + 8.30309i −0.317885 + 0.304816i
\(743\) 5.86405 19.9711i 0.215131 0.732670i −0.779241 0.626725i \(-0.784395\pi\)
0.994372 0.105945i \(-0.0337868\pi\)
\(744\) 40.8690 + 21.0694i 1.49833 + 0.772443i
\(745\) −1.40285 + 14.6913i −0.0513963 + 0.538246i
\(746\) 77.1723 + 18.7218i 2.82548 + 0.685454i
\(747\) 13.8197 + 2.66352i 0.505635 + 0.0974532i
\(748\) −9.40974 8.15359i −0.344054 0.298125i
\(749\) 2.73736 19.4269i 0.100021 0.709843i
\(750\) 19.2112 8.77347i 0.701494 0.320362i
\(751\) 10.5545 20.4730i 0.385141 0.747069i −0.613966 0.789333i \(-0.710427\pi\)
0.999106 + 0.0422638i \(0.0134570\pi\)
\(752\) 26.7735 + 28.0792i 0.976327 + 1.02394i
\(753\) 0.471069 1.17667i 0.0171667 0.0428804i
\(754\) −2.05429 21.5135i −0.0748129 0.783476i
\(755\) 0.951769 6.61970i 0.0346384 0.240916i
\(756\) −10.7845 5.52143i −0.392229 0.200812i
\(757\) −0.327610 + 0.283876i −0.0119072 + 0.0103176i −0.660794 0.750567i \(-0.729780\pi\)
0.648887 + 0.760885i \(0.275235\pi\)
\(758\) −72.2867 + 41.7348i −2.62557 + 1.51587i
\(759\) 3.41019 + 0.574095i 0.123782 + 0.0208383i
\(760\) −35.0735 + 60.7490i −1.27225 + 2.20360i
\(761\) −3.73159 1.29151i −0.135270 0.0468174i 0.258594 0.965986i \(-0.416741\pi\)
−0.393864 + 0.919169i \(0.628862\pi\)
\(762\) −6.66967 + 10.3782i −0.241617 + 0.375963i
\(763\) −1.78023 + 39.7247i −0.0644488 + 1.43813i
\(764\) 58.5362 + 26.7326i 2.11776 + 0.967151i
\(765\) 7.76029 6.10276i 0.280574 0.220646i
\(766\) −17.6068 + 16.7880i −0.636158 + 0.606575i
\(767\) 0.230955 + 4.84833i 0.00833928 + 0.175063i
\(768\) −21.6046 15.3846i −0.779589 0.555143i
\(769\) −12.1450 + 3.56611i −0.437962 + 0.128597i −0.493278 0.869872i \(-0.664201\pi\)
0.0553163 + 0.998469i \(0.482383\pi\)
\(770\) −5.35531 11.6396i −0.192992 0.419464i
\(771\) −11.8635 + 13.6912i −0.427255 + 0.493078i
\(772\) 39.9140 + 38.0579i 1.43654 + 1.36973i
\(773\) 13.5945 + 1.29812i 0.488961 + 0.0466901i 0.336625 0.941639i \(-0.390714\pi\)
0.