Properties

Label 770.2.bv.a.157.7
Level $770$
Weight $2$
Character 770.157
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 157.7
Character \(\chi\) \(=\) 770.157
Dual form 770.2.bv.a.103.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.358368 - 0.933580i) q^{2} +(-0.907018 - 1.39668i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.00738 + 1.99629i) q^{5} +(-0.978872 + 1.34730i) q^{6} +(2.13291 + 1.56547i) q^{7} +(0.891007 + 0.453990i) q^{8} +(0.0921626 - 0.207001i) q^{9} +O(q^{10})\) \(q+(-0.358368 - 0.933580i) q^{2} +(-0.907018 - 1.39668i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.00738 + 1.99629i) q^{5} +(-0.978872 + 1.34730i) q^{6} +(2.13291 + 1.56547i) q^{7} +(0.891007 + 0.453990i) q^{8} +(0.0921626 - 0.207001i) q^{9} +(1.50269 - 1.65588i) q^{10} +(-3.26107 + 0.604526i) q^{11} +(1.60861 + 0.431026i) q^{12} +(-2.67775 - 0.424114i) q^{13} +(0.697128 - 2.55226i) q^{14} +(1.87448 - 3.21766i) q^{15} +(0.104528 - 0.994522i) q^{16} +(-2.59774 + 6.76735i) q^{17} +(-0.226280 - 0.0118588i) q^{18} +(-3.60549 + 4.00431i) q^{19} +(-2.08441 - 0.809467i) q^{20} +(0.251886 - 4.39891i) q^{21} +(1.73303 + 2.82782i) q^{22} +(0.670055 + 0.179541i) q^{23} +(-0.174077 - 1.65623i) q^{24} +(-2.97038 + 4.02205i) q^{25} +(0.563676 + 2.65189i) q^{26} +(-5.30726 + 0.840588i) q^{27} +(-2.63256 + 0.263822i) q^{28} +(4.04700 + 1.31495i) q^{29} +(-3.67570 - 0.596872i) q^{30} +(-4.35187 + 0.457400i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(3.80218 + 4.00637i) q^{33} +7.24882 q^{34} +(-0.976495 + 5.83493i) q^{35} +(0.0700203 + 0.215500i) q^{36} +(-5.55132 - 3.60507i) q^{37} +(5.03043 + 1.93100i) q^{38} +(1.83642 + 4.12466i) q^{39} +(-0.00871699 + 2.23605i) q^{40} +(6.92798 - 2.25104i) q^{41} +(-4.19701 + 1.34127i) q^{42} +(-5.74428 + 5.74428i) q^{43} +(2.01894 - 2.63133i) q^{44} +(0.506076 - 0.0245444i) q^{45} +(-0.0725106 - 0.689892i) q^{46} +(-0.266774 - 5.09035i) q^{47} +(-1.48384 + 0.756056i) q^{48} +(2.09859 + 6.67802i) q^{49} +(4.81939 + 1.33171i) q^{50} +(11.8081 - 2.50988i) q^{51} +(2.27375 - 1.47659i) q^{52} +(1.11175 + 0.900278i) q^{53} +(2.68671 + 4.65352i) q^{54} +(-4.49194 - 5.90106i) q^{55} +(1.18973 + 2.36317i) q^{56} +(8.86300 + 1.40376i) q^{57} +(-0.222703 - 4.24944i) q^{58} +(0.117426 + 0.130415i) q^{59} +(0.760026 + 3.64546i) q^{60} +(12.0193 + 1.26328i) q^{61} +(1.98659 + 3.89890i) q^{62} +(0.520628 - 0.297235i) q^{63} +(0.587785 + 0.809017i) q^{64} +(-1.85086 - 5.77282i) q^{65} +(2.37769 - 4.98539i) q^{66} +(2.98794 - 0.800616i) q^{67} +(-2.59774 - 6.76735i) q^{68} +(-0.356990 - 1.09870i) q^{69} +(5.79732 - 1.17942i) q^{70} +(6.84431 + 4.97268i) q^{71} +(0.176094 - 0.142598i) q^{72} +(-0.808400 + 15.4252i) q^{73} +(-1.37621 + 6.47454i) q^{74} +(8.31172 + 0.500609i) q^{75} -5.38832i q^{76} +(-7.90192 - 3.81571i) q^{77} +(3.19259 - 3.19259i) q^{78} +(3.52302 - 7.91282i) q^{79} +(2.09066 - 0.793191i) q^{80} +(5.53296 + 6.14498i) q^{81} +(-4.58429 - 5.66113i) q^{82} +(-2.65409 - 16.7573i) q^{83} +(2.75626 + 3.43757i) q^{84} +(-16.1265 + 1.63143i) q^{85} +(7.42132 + 3.30418i) q^{86} +(-1.83413 - 6.84507i) q^{87} +(-3.18008 - 0.941856i) q^{88} +(0.366866 + 0.635431i) q^{89} +(-0.204276 - 0.463667i) q^{90} +(-5.04746 - 5.09654i) q^{91} +(-0.618084 + 0.314930i) q^{92} +(4.58606 + 5.66332i) q^{93} +(-4.65665 + 2.07328i) q^{94} +(-11.6259 - 3.16377i) q^{95} +(1.23760 + 1.11434i) q^{96} +(-2.14514 + 13.5439i) q^{97} +(5.48240 - 4.35239i) q^{98} +(-0.175411 + 0.730757i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.358368 0.933580i −0.253404 0.660141i
\(3\) −0.907018 1.39668i −0.523667 0.806376i 0.473563 0.880760i \(-0.342968\pi\)
−0.997230 + 0.0743837i \(0.976301\pi\)
\(4\) −0.743145 + 0.669131i −0.371572 + 0.334565i
\(5\) 1.00738 + 1.99629i 0.450514 + 0.892770i
\(6\) −0.978872 + 1.34730i −0.399623 + 0.550033i
\(7\) 2.13291 + 1.56547i 0.806164 + 0.591693i
\(8\) 0.891007 + 0.453990i 0.315018 + 0.160510i
\(9\) 0.0921626 0.207001i 0.0307209 0.0690002i
\(10\) 1.50269 1.65588i 0.475192 0.523634i
\(11\) −3.26107 + 0.604526i −0.983248 + 0.182271i
\(12\) 1.60861 + 0.431026i 0.464366 + 0.124426i
\(13\) −2.67775 0.424114i −0.742675 0.117628i −0.226380 0.974039i \(-0.572689\pi\)
−0.516295 + 0.856411i \(0.672689\pi\)
\(14\) 0.697128 2.55226i 0.186315 0.682119i
\(15\) 1.87448 3.21766i 0.483989 0.830797i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) −2.59774 + 6.76735i −0.630046 + 1.64132i 0.130046 + 0.991508i \(0.458488\pi\)
−0.760091 + 0.649817i \(0.774846\pi\)
\(18\) −0.226280 0.0118588i −0.0533347 0.00279515i
\(19\) −3.60549 + 4.00431i −0.827157 + 0.918651i −0.997774 0.0666868i \(-0.978757\pi\)
0.170617 + 0.985337i \(0.445424\pi\)
\(20\) −2.08441 0.809467i −0.466088 0.181002i
\(21\) 0.251886 4.39891i 0.0549659 0.959921i
\(22\) 1.73303 + 2.82782i 0.369484 + 0.602894i
\(23\) 0.670055 + 0.179541i 0.139716 + 0.0374368i 0.327999 0.944678i \(-0.393626\pi\)
−0.188283 + 0.982115i \(0.560292\pi\)
\(24\) −0.174077 1.65623i −0.0355333 0.338077i
\(25\) −2.97038 + 4.02205i −0.594075 + 0.804410i
\(26\) 0.563676 + 2.65189i 0.110546 + 0.520078i
\(27\) −5.30726 + 0.840588i −1.02138 + 0.161771i
\(28\) −2.63256 + 0.263822i −0.497508 + 0.0498576i
\(29\) 4.04700 + 1.31495i 0.751509 + 0.244180i 0.659630 0.751590i \(-0.270713\pi\)
0.0918786 + 0.995770i \(0.470713\pi\)
\(30\) −3.67570 0.596872i −0.671088 0.108973i
\(31\) −4.35187 + 0.457400i −0.781618 + 0.0821514i −0.486929 0.873442i \(-0.661883\pi\)
−0.294689 + 0.955593i \(0.595216\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 3.80218 + 4.00637i 0.661874 + 0.697419i
\(34\) 7.24882 1.24316
\(35\) −0.976495 + 5.83493i −0.165058 + 0.986284i
\(36\) 0.0700203 + 0.215500i 0.0116700 + 0.0359167i
\(37\) −5.55132 3.60507i −0.912631 0.592670i 0.000649914 1.00000i \(-0.499793\pi\)
−0.913281 + 0.407330i \(0.866460\pi\)
\(38\) 5.03043 + 1.93100i 0.816044 + 0.313250i
\(39\) 1.83642 + 4.12466i 0.294062 + 0.660474i
\(40\) −0.00871699 + 2.23605i −0.00137828 + 0.353551i
\(41\) 6.92798 2.25104i 1.08197 0.351553i 0.286830 0.957981i \(-0.407398\pi\)
0.795138 + 0.606428i \(0.207398\pi\)
\(42\) −4.19701 + 1.34127i −0.647612 + 0.206963i
\(43\) −5.74428 + 5.74428i −0.875995 + 0.875995i −0.993117 0.117123i \(-0.962633\pi\)
0.117123 + 0.993117i \(0.462633\pi\)
\(44\) 2.01894 2.63133i 0.304366 0.396688i
\(45\) 0.506076 0.0245444i 0.0754414 0.00365887i
\(46\) −0.0725106 0.689892i −0.0106911 0.101719i
\(47\) −0.266774 5.09035i −0.0389130 0.742505i −0.946512 0.322667i \(-0.895420\pi\)
0.907599 0.419837i \(-0.137913\pi\)
\(48\) −1.48384 + 0.756056i −0.214174 + 0.109127i
\(49\) 2.09859 + 6.67802i 0.299799 + 0.954002i
\(50\) 4.81939 + 1.33171i 0.681565 + 0.188332i
\(51\) 11.8081 2.50988i 1.65346 0.351454i
\(52\) 2.27375 1.47659i 0.315312 0.204766i
\(53\) 1.11175 + 0.900278i 0.152711 + 0.123663i 0.702631 0.711554i \(-0.252009\pi\)
−0.549920 + 0.835217i \(0.685342\pi\)
\(54\) 2.68671 + 4.65352i 0.365615 + 0.633264i
\(55\) −4.49194 5.90106i −0.605693 0.795698i
\(56\) 1.18973 + 2.36317i 0.158984 + 0.315791i
\(57\) 8.86300 + 1.40376i 1.17393 + 0.185933i
\(58\) −0.222703 4.24944i −0.0292424 0.557978i
\(59\) 0.117426 + 0.130415i 0.0152876 + 0.0169785i 0.750740 0.660598i \(-0.229697\pi\)
−0.735453 + 0.677576i \(0.763030\pi\)
\(60\) 0.760026 + 3.64546i 0.0981189 + 0.470627i
\(61\) 12.0193 + 1.26328i 1.53891 + 0.161746i 0.835681 0.549215i \(-0.185073\pi\)
0.703231 + 0.710961i \(0.251740\pi\)
\(62\) 1.98659 + 3.89890i 0.252297 + 0.495161i
\(63\) 0.520628 0.297235i 0.0655929 0.0374481i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) −1.85086 5.77282i −0.229570 0.716031i
\(66\) 2.37769 4.98539i 0.292673 0.613659i
\(67\) 2.98794 0.800616i 0.365035 0.0978108i −0.0716391 0.997431i \(-0.522823\pi\)
0.436674 + 0.899620i \(0.356156\pi\)
\(68\) −2.59774 6.76735i −0.315023 0.820662i
\(69\) −0.356990 1.09870i −0.0429765 0.132268i
\(70\) 5.79732 1.17942i 0.692913 0.140967i
\(71\) 6.84431 + 4.97268i 0.812270 + 0.590149i 0.914488 0.404613i \(-0.132594\pi\)
−0.102218 + 0.994762i \(0.532594\pi\)
\(72\) 0.176094 0.142598i 0.0207528 0.0168053i
\(73\) −0.808400 + 15.4252i −0.0946161 + 1.80538i 0.379786 + 0.925074i \(0.375998\pi\)
−0.474402 + 0.880308i \(0.657336\pi\)
\(74\) −1.37621 + 6.47454i −0.159981 + 0.752650i
\(75\) 8.31172 + 0.500609i 0.959754 + 0.0578053i
\(76\) 5.38832i 0.618083i
\(77\) −7.90192 3.81571i −0.900508 0.434840i
\(78\) 3.19259 3.19259i 0.361489 0.361489i
\(79\) 3.52302 7.91282i 0.396370 0.890262i −0.599576 0.800317i \(-0.704664\pi\)
0.995947 0.0899447i \(-0.0286690\pi\)
\(80\) 2.09066 0.793191i 0.233743 0.0886814i
\(81\) 5.53296 + 6.14498i 0.614774 + 0.682776i
\(82\) −4.58429 5.66113i −0.506250 0.625167i
\(83\) −2.65409 16.7573i −0.291324 1.83935i −0.505838 0.862629i \(-0.668816\pi\)
0.214513 0.976721i \(-0.431184\pi\)
\(84\) 2.75626 + 3.43757i 0.300732 + 0.375070i
\(85\) −16.1265 + 1.63143i −1.74917 + 0.176954i
\(86\) 7.42132 + 3.30418i 0.800261 + 0.356299i
\(87\) −1.83413 6.84507i −0.196639 0.733868i
\(88\) −3.18008 0.941856i −0.338998 0.100402i
\(89\) 0.366866 + 0.635431i 0.0388877 + 0.0673555i 0.884814 0.465944i \(-0.154285\pi\)
−0.845926 + 0.533300i \(0.820952\pi\)
\(90\) −0.204276 0.463667i −0.0215326 0.0488748i
\(91\) −5.04746 5.09654i −0.529118 0.534263i
\(92\) −0.618084 + 0.314930i −0.0644397 + 0.0328337i
\(93\) 4.58606 + 5.66332i 0.475553 + 0.587258i
\(94\) −4.65665 + 2.07328i −0.480297 + 0.213842i
\(95\) −11.6259 3.16377i −1.19279 0.324596i
\(96\) 1.23760 + 1.11434i 0.126312 + 0.113732i
\(97\) −2.14514 + 13.5439i −0.217806 + 1.37517i 0.600149 + 0.799888i \(0.295108\pi\)
−0.817954 + 0.575283i \(0.804892\pi\)
\(98\) 5.48240 4.35239i 0.553806 0.439658i
\(99\) −0.175411 + 0.730757i −0.0176295 + 0.0734438i
\(100\) −0.483857 4.97653i −0.0483857 0.497653i
\(101\) 2.01523 0.211809i 0.200522 0.0210758i −0.00373470 0.999993i \(-0.501189\pi\)
0.204257 + 0.978917i \(0.434522\pi\)
\(102\) −6.57481 10.1243i −0.651003 1.00246i
\(103\) 9.73886 + 6.32449i 0.959599 + 0.623171i 0.926505 0.376282i \(-0.122797\pi\)
0.0330933 + 0.999452i \(0.489464\pi\)
\(104\) −2.19335 1.59356i −0.215076 0.156262i
\(105\) 9.03526 3.92853i 0.881751 0.383386i
\(106\) 0.442066 1.36054i 0.0429373 0.132147i
\(107\) −10.1389 + 0.531357i −0.980165 + 0.0513682i −0.535682 0.844419i \(-0.679946\pi\)
−0.444482 + 0.895788i \(0.646612\pi\)
\(108\) 3.38160 4.17593i 0.325395 0.401829i
\(109\) −3.99177 2.30465i −0.382343 0.220746i 0.296494 0.955035i \(-0.404182\pi\)
−0.678837 + 0.734289i \(0.737516\pi\)
\(110\) −3.89934 + 6.30834i −0.371788 + 0.601476i
\(111\) 11.0233i 1.04629i
\(112\) 1.77985 1.95759i 0.168180 0.184975i
\(113\) −1.36948 0.697783i −0.128830 0.0656419i 0.388388 0.921496i \(-0.373032\pi\)
−0.517217 + 0.855854i \(0.673032\pi\)
\(114\) −1.86569 8.77738i −0.174738 0.822077i
\(115\) 0.316583 + 1.51849i 0.0295216 + 0.141600i
\(116\) −3.88738 + 1.73077i −0.360934 + 0.160698i
\(117\) −0.334581 + 0.515209i −0.0309320 + 0.0476311i
\(118\) 0.0796709 0.156363i 0.00733430 0.0143944i
\(119\) −16.1349 + 10.3675i −1.47908 + 0.950383i
\(120\) 3.13096 2.01596i 0.285817 0.184031i
\(121\) 10.2691 3.94280i 0.933554 0.358436i
\(122\) −3.12796 11.6737i −0.283192 1.05689i
\(123\) −9.42779 7.63447i −0.850075 0.688377i
\(124\) 2.92801 3.25188i 0.262943 0.292027i
\(125\) −11.0215 1.87801i −0.985791 0.167975i
\(126\) −0.464069 0.379528i −0.0413426 0.0338111i
\(127\) −2.33032 14.7130i −0.206782 1.30557i −0.844606 0.535389i \(-0.820165\pi\)
0.637823 0.770183i \(-0.279835\pi\)
\(128\) 0.544639 0.838671i 0.0481397 0.0741287i
\(129\) 13.2331 + 2.81279i 1.16511 + 0.247652i
\(130\) −4.72611 + 3.79672i −0.414507 + 0.332994i
\(131\) 2.97921 1.72005i 0.260295 0.150281i −0.364174 0.931331i \(-0.618649\pi\)
0.624469 + 0.781050i \(0.285315\pi\)
\(132\) −5.50635 0.433157i −0.479266 0.0377015i
\(133\) −13.9588 + 2.89652i −1.21038 + 0.251160i
\(134\) −1.81822 2.50257i −0.157070 0.216189i
\(135\) −7.02449 9.74807i −0.604572 0.838980i
\(136\) −5.38692 + 4.85041i −0.461925 + 0.415919i
\(137\) −3.72227 1.42885i −0.318015 0.122075i 0.194124 0.980977i \(-0.437813\pi\)
−0.512139 + 0.858902i \(0.671147\pi\)
\(138\) −0.897793 + 0.727019i −0.0764252 + 0.0618879i
\(139\) −6.25818 + 19.2607i −0.530812 + 1.63367i 0.221716 + 0.975111i \(0.428834\pi\)
−0.752528 + 0.658560i \(0.771166\pi\)
\(140\) −3.17866 4.98960i −0.268645 0.421698i
\(141\) −6.86765 + 4.98964i −0.578361 + 0.420204i
\(142\) 2.18962 8.17176i 0.183749 0.685759i
\(143\) 8.98872 0.235706i 0.751674 0.0197107i
\(144\) −0.196233 0.113295i −0.0163527 0.00944126i
\(145\) 1.45184 + 9.40365i 0.120568 + 0.780931i
\(146\) 14.6904 4.77319i 1.21578 0.395032i
\(147\) 7.42362 8.98815i 0.612290 0.741330i
\(148\) 6.53769 1.03547i 0.537395 0.0851150i
\(149\) 10.4446 + 1.09778i 0.855658 + 0.0899333i 0.522191 0.852828i \(-0.325115\pi\)
0.333467 + 0.942762i \(0.391781\pi\)
\(150\) −2.51129 7.93906i −0.205046 0.648221i
\(151\) 1.96244 + 0.417129i 0.159701 + 0.0339455i 0.287068 0.957910i \(-0.407319\pi\)
−0.127367 + 0.991856i \(0.540653\pi\)
\(152\) −5.03043 + 1.93100i −0.408022 + 0.156625i
\(153\) 1.16143 + 1.16143i 0.0938962 + 0.0938962i
\(154\) −0.730476 + 8.74451i −0.0588634 + 0.704652i
\(155\) −5.29708 8.22683i −0.425472 0.660795i
\(156\) −4.12466 1.83642i −0.330237 0.147031i
\(157\) −19.5579 + 12.7011i −1.56089 + 1.01366i −0.581056 + 0.813864i \(0.697360\pi\)
−0.979838 + 0.199793i \(0.935973\pi\)
\(158\) −8.64979 0.453316i −0.688141 0.0360639i
\(159\) 0.249027 2.36933i 0.0197491 0.187900i
\(160\) −1.48973 1.66754i −0.117774 0.131831i
\(161\) 1.14810 + 1.43190i 0.0904830 + 0.112849i
\(162\) 3.75400 7.36763i 0.294942 0.578856i
\(163\) −8.44168 + 3.24046i −0.661203 + 0.253812i −0.665747 0.746178i \(-0.731887\pi\)
0.00454385 + 0.999990i \(0.498554\pi\)
\(164\) −3.64225 + 6.30857i −0.284412 + 0.492616i
\(165\) −4.16765 + 11.6262i −0.324451 + 0.905097i
\(166\) −14.6931 + 8.48308i −1.14041 + 0.658415i
\(167\) −2.74280 + 17.3174i −0.212244 + 1.34006i 0.619543 + 0.784963i \(0.287318\pi\)
−0.831787 + 0.555095i \(0.812682\pi\)
\(168\) 2.22150 3.80511i 0.171392 0.293570i
\(169\) −5.37325 1.74587i −0.413327 0.134298i
\(170\) 7.30231 + 14.4708i 0.560061 + 1.10986i
\(171\) 0.496602 + 1.11539i 0.0379761 + 0.0852957i
\(172\) 0.425159 8.11251i 0.0324180 0.618573i
\(173\) 22.2213 1.16457i 1.68946 0.0885407i 0.816815 0.576900i \(-0.195738\pi\)
0.872643 + 0.488359i \(0.162404\pi\)
\(174\) −5.73313 + 4.16536i −0.434627 + 0.315775i
\(175\) −12.6319 + 3.92862i −0.954885 + 0.296976i
\(176\) 0.260340 + 3.30639i 0.0196239 + 0.249229i
\(177\) 0.0756408 0.282295i 0.00568551 0.0212186i
\(178\) 0.461753 0.570217i 0.0346098 0.0427396i
\(179\) 5.40400 25.4238i 0.403914 1.90027i −0.0304645 0.999536i \(-0.509699\pi\)
0.434379 0.900730i \(-0.356968\pi\)
\(180\) −0.359665 + 0.356871i −0.0268078 + 0.0265996i
\(181\) 1.41883 1.95286i 0.105461 0.145155i −0.753024 0.657993i \(-0.771406\pi\)
0.858486 + 0.512838i \(0.171406\pi\)
\(182\) −2.94919 + 6.53865i −0.218608 + 0.484677i
\(183\) −9.13730 17.9330i −0.675449 1.32564i
\(184\) 0.515514 + 0.464171i 0.0380042 + 0.0342191i
\(185\) 1.60449 14.7137i 0.117965 1.08177i
\(186\) 3.64366 6.31101i 0.267166 0.462746i
\(187\) 4.38037 23.6392i 0.320325 1.72867i
\(188\) 3.60436 + 3.60436i 0.262875 + 0.262875i
\(189\) −12.6358 6.51548i −0.919121 0.473931i
\(190\) 1.21271 + 11.9875i 0.0879789 + 0.869663i
\(191\) −12.6607 + 2.69112i −0.916099 + 0.194723i −0.641756 0.766909i \(-0.721794\pi\)
−0.274343 + 0.961632i \(0.588461\pi\)
\(192\) 0.596810 1.55474i 0.0430711 0.112204i
\(193\) 3.68449 9.59843i 0.265215 0.690910i −0.734706 0.678386i \(-0.762680\pi\)
0.999922 0.0125243i \(-0.00398672\pi\)
\(194\) 13.4130 2.85103i 0.963000 0.204692i
\(195\) −6.38406 + 7.82112i −0.457172 + 0.560082i
\(196\) −6.02802 3.55850i −0.430573 0.254179i
\(197\) −1.34381 1.34381i −0.0957425 0.0957425i 0.657613 0.753356i \(-0.271566\pi\)
−0.753356 + 0.657613i \(0.771566\pi\)
\(198\) 0.745082 0.0981196i 0.0529507 0.00697305i
\(199\) 3.84664 6.66258i 0.272681 0.472298i −0.696866 0.717201i \(-0.745423\pi\)
0.969548 + 0.244903i \(0.0787562\pi\)
\(200\) −4.47260 + 2.23515i −0.316260 + 0.158049i
\(201\) −3.82832 3.44704i −0.270029 0.243135i
\(202\) −0.919933 1.80547i −0.0647262 0.127032i
\(203\) 6.57336 + 9.14013i 0.461359 + 0.641511i
\(204\) −7.09566 + 9.76634i −0.496796 + 0.683781i
\(205\) 11.4728 + 11.5626i 0.801297 + 0.807569i
\(206\) 2.41433 11.3585i 0.168214 0.791385i
\(207\) 0.0989190 0.122155i 0.00687535 0.00849035i
\(208\) −0.701692 + 2.61875i −0.0486536 + 0.181578i
\(209\) 9.33704 15.2379i 0.645857 1.05403i
\(210\) −6.90555 7.02728i −0.476528 0.484929i
\(211\) 4.49025 3.26236i 0.309122 0.224590i −0.422398 0.906411i \(-0.638811\pi\)
0.731520 + 0.681820i \(0.238811\pi\)
\(212\) −1.42860 + 0.0748696i −0.0981164 + 0.00514206i
\(213\) 0.737359 14.0697i 0.0505230 0.964037i
\(214\) 4.12952 + 9.27506i 0.282288 + 0.634030i
\(215\) −17.2539 5.68060i −1.17671 0.387414i
\(216\) −5.11043 1.66048i −0.347720 0.112981i
\(217\) −9.99818 5.83713i −0.678720 0.396250i
\(218\) −0.721054 + 4.55255i −0.0488359 + 0.308338i
\(219\) 22.2774 12.8618i 1.50537 0.869123i
\(220\) 7.28674 + 1.37965i 0.491272 + 0.0930157i
\(221\) 9.82625 17.0196i 0.660985 1.14486i
\(222\) 10.2911 3.95040i 0.690696 0.265133i
\(223\) −2.59950 + 5.10181i −0.174076 + 0.341643i −0.961516 0.274748i \(-0.911406\pi\)
0.787441 + 0.616390i \(0.211406\pi\)
\(224\) −2.46541 0.960093i −0.164727 0.0641489i
\(225\) 0.558809 + 0.985552i 0.0372539 + 0.0657034i
\(226\) −0.160660 + 1.52858i −0.0106870 + 0.101680i
\(227\) −5.78894 0.303385i −0.384225 0.0201364i −0.140754 0.990045i \(-0.544953\pi\)
−0.243471 + 0.969908i \(0.578286\pi\)
\(228\) −7.52579 + 4.88731i −0.498408 + 0.323670i
\(229\) 12.8387 + 5.71616i 0.848406 + 0.377735i 0.784431 0.620217i \(-0.212955\pi\)
0.0639756 + 0.997951i \(0.479622\pi\)
\(230\) 1.30418 0.839735i 0.0859952 0.0553705i
\(231\) 1.83784 + 14.4974i 0.120921 + 0.953860i
\(232\) 3.00893 + 3.00893i 0.197546 + 0.197546i
\(233\) 27.3743 10.5080i 1.79335 0.688403i 0.796910 0.604098i \(-0.206466\pi\)
0.996440 0.0843048i \(-0.0268669\pi\)
\(234\) 0.600892 + 0.127724i 0.0392815 + 0.00834955i
\(235\) 9.89310 5.66048i 0.645355 0.369249i
\(236\) −0.174529 0.0183437i −0.0113609 0.00119407i
\(237\) −14.2472 + 2.25653i −0.925452 + 0.146577i
\(238\) 15.4611 + 11.3478i 1.00219 + 0.735570i
\(239\) 8.93813 2.90418i 0.578160 0.187856i −0.00531622 0.999986i \(-0.501692\pi\)
0.583476 + 0.812130i \(0.301692\pi\)
\(240\) −3.00410 2.20055i −0.193914 0.142045i
\(241\) −4.60001 2.65582i −0.296313 0.171076i 0.344473 0.938796i \(-0.388058\pi\)
−0.640785 + 0.767720i \(0.721391\pi\)
\(242\) −7.36103 8.17406i −0.473185 0.525448i
\(243\) −0.608128 + 2.26956i −0.0390114 + 0.145593i
\(244\) −9.77737 + 7.10367i −0.625932 + 0.454766i
\(245\) −11.2172 + 10.9167i −0.716641 + 0.697443i
\(246\) −3.74878 + 11.5375i −0.239013 + 0.735607i
\(247\) 11.3529 9.19340i 0.722368 0.584962i
\(248\) −4.08520 1.56816i −0.259410 0.0995782i
\(249\) −20.9973 + 18.9061i −1.33065 + 1.19812i
\(250\) 2.19647 + 10.9625i 0.138917 + 0.693327i
\(251\) −5.46268 7.51874i −0.344802 0.474579i 0.601035 0.799223i \(-0.294755\pi\)
−0.945836 + 0.324644i \(0.894755\pi\)
\(252\) −0.188013 + 0.569257i −0.0118437 + 0.0358598i
\(253\) −2.29363 0.180429i −0.144199 0.0113434i
\(254\) −12.9007 + 7.44822i −0.809462 + 0.467343i
\(255\) 16.9057 + 21.0440i 1.05867 + 1.31782i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) 3.15346 4.85590i 0.196707 0.302903i −0.726529 0.687136i \(-0.758868\pi\)
0.923236 + 0.384234i \(0.125534\pi\)
\(258\) −2.11636 13.3622i −0.131759 0.831894i
\(259\) −6.19682 16.3797i −0.385052 1.01779i
\(260\) 5.23823 + 3.05158i 0.324861 + 0.189251i
\(261\) 0.645177 0.716542i 0.0399355 0.0443528i
\(262\) −2.67346 2.16492i −0.165167 0.133749i
\(263\) 4.58799 + 17.1226i 0.282907 + 1.05582i 0.950355 + 0.311168i \(0.100720\pi\)
−0.667448 + 0.744657i \(0.732613\pi\)
\(264\) 1.56891 + 5.29585i 0.0965599 + 0.325937i
\(265\) −0.677265 + 3.12630i −0.0416041 + 0.192047i
\(266\) 7.70652 + 11.9937i 0.472517 + 0.735378i
\(267\) 0.554742 1.08874i 0.0339497 0.0666300i
\(268\) −1.68476 + 2.59430i −0.102913 + 0.158472i
\(269\) −16.6392 + 7.40825i −1.01451 + 0.451689i −0.845528 0.533931i \(-0.820714\pi\)
−0.168981 + 0.985619i \(0.554048\pi\)
\(270\) −6.58325 + 10.0513i −0.400644 + 0.611704i
\(271\) −1.22648 5.77012i −0.0745032 0.350510i 0.925068 0.379802i \(-0.124008\pi\)
−0.999571 + 0.0292923i \(0.990675\pi\)
\(272\) 6.45874 + 3.29089i 0.391619 + 0.199540i
\(273\) −2.54013 + 11.6724i −0.153736 + 0.706444i
\(274\) 3.98709i 0.240869i
\(275\) 7.25516 14.9118i 0.437502 0.899217i
\(276\) 1.00047 + 0.577622i 0.0602213 + 0.0347688i
\(277\) −10.8066 + 13.3451i −0.649306 + 0.801827i −0.990404 0.138201i \(-0.955868\pi\)
0.341098 + 0.940028i \(0.389201\pi\)
\(278\) 20.2242 1.05990i 1.21296 0.0635687i
\(279\) −0.306397 + 0.942994i −0.0183435 + 0.0564556i
\(280\) −3.51907 + 4.75565i −0.210305 + 0.284204i
\(281\) 4.89302 + 3.55499i 0.291893 + 0.212073i 0.724088 0.689707i \(-0.242261\pi\)
−0.432195 + 0.901780i \(0.642261\pi\)
\(282\) 7.11938 + 4.62338i 0.423953 + 0.275318i
\(283\) −3.40909 5.24954i −0.202650 0.312053i 0.722704 0.691157i \(-0.242899\pi\)
−0.925354 + 0.379104i \(0.876232\pi\)
\(284\) −8.41369 + 0.884314i −0.499260 + 0.0524744i
\(285\) 6.12608 + 19.1073i 0.362878 + 1.13182i
\(286\) −3.44132 8.30722i −0.203489 0.491216i
\(287\) 18.3007 + 6.04430i 1.08025 + 0.356784i
\(288\) −0.0354465 + 0.223801i −0.00208871 + 0.0131876i
\(289\) −26.4154 23.7845i −1.55384 1.39909i
\(290\) 8.25877 4.72537i 0.484972 0.277483i
\(291\) 20.8622 9.28845i 1.22296 0.544498i
\(292\) −9.72071 12.0041i −0.568862 0.702486i
\(293\) 14.3406 7.30690i 0.837787 0.426874i 0.0182041 0.999834i \(-0.494205\pi\)
0.819583 + 0.572960i \(0.194205\pi\)
\(294\) −11.0516 3.70948i −0.644540 0.216341i
\(295\) −0.142054 + 0.365794i −0.00827068 + 0.0212973i
\(296\) −3.30959 5.73238i −0.192366 0.333188i
\(297\) 16.7992 5.94959i 0.974787 0.345230i
\(298\) −2.71816 10.1443i −0.157459 0.587645i
\(299\) −1.71810 0.764946i −0.0993601 0.0442380i
\(300\) −6.51178 + 5.18960i −0.375958 + 0.299622i
\(301\) −21.2445 + 3.25951i −1.22451 + 0.187875i
\(302\) −0.313851 1.98158i −0.0180601 0.114027i
\(303\) −2.12368 2.62252i −0.122002 0.150660i
\(304\) 3.60549 + 4.00431i 0.206789 + 0.229663i
\(305\) 9.58610 + 25.2666i 0.548899 + 1.44676i
\(306\) 0.668070 1.50051i 0.0381910 0.0857784i
\(307\) 17.4447 17.4447i 0.995620 0.995620i −0.00437072 0.999990i \(-0.501391\pi\)
0.999990 + 0.00437072i \(0.00139125\pi\)
\(308\) 8.42548 2.45179i 0.480086 0.139704i
\(309\) 19.3385i 1.10013i
\(310\) −5.78210 + 7.89348i −0.328401 + 0.448320i
\(311\) 2.92600 13.7658i 0.165919 0.780585i −0.813949 0.580936i \(-0.802687\pi\)
0.979868 0.199649i \(-0.0639802\pi\)
\(312\) −0.236297 + 4.50881i −0.0133777 + 0.255261i
\(313\) −1.56250 + 1.26529i −0.0883175 + 0.0715181i −0.672462 0.740131i \(-0.734763\pi\)
0.584145 + 0.811649i \(0.301430\pi\)
\(314\) 18.8664 + 13.7073i 1.06469 + 0.773545i
\(315\) 1.11784 + 0.739898i 0.0629831 + 0.0416885i
\(316\) 2.67660 + 8.23773i 0.150571 + 0.463409i
\(317\) −0.827198 2.15492i −0.0464601 0.121033i 0.908387 0.418131i \(-0.137315\pi\)
−0.954847 + 0.297098i \(0.903981\pi\)
\(318\) −2.30121 + 0.616607i −0.129045 + 0.0345776i
\(319\) −13.9925 1.84162i −0.783427 0.103111i
\(320\) −1.02291 + 1.98838i −0.0571826 + 0.111154i
\(321\) 9.93830 + 13.6789i 0.554702 + 0.763482i
\(322\) 0.925348 1.58499i 0.0515676 0.0883280i
\(323\) −17.7324 34.8018i −0.986657 1.93642i
\(324\) −8.22359 0.864334i −0.456866 0.0480186i
\(325\) 9.65974 9.51027i 0.535826 0.527535i
\(326\) 6.05045 + 6.71971i 0.335104 + 0.372170i
\(327\) 0.401738 + 7.66561i 0.0222161 + 0.423909i
\(328\) 7.19482 + 1.13955i 0.397268 + 0.0629210i
\(329\) 7.39980 11.2749i 0.407964 0.621605i
\(330\) 12.3475 0.275618i 0.679709 0.0151723i
\(331\) −4.07846 7.06410i −0.224172 0.388278i 0.731898 0.681414i \(-0.238635\pi\)
−0.956071 + 0.293136i \(0.905301\pi\)
\(332\) 13.1852 + 10.6771i 0.723631 + 0.585985i
\(333\) −1.25787 + 0.816873i −0.0689311 + 0.0447644i
\(334\) 17.1501 3.64536i 0.938411 0.199465i
\(335\) 4.60825 + 5.15828i 0.251776 + 0.281827i
\(336\) −4.34848 0.710317i −0.237229 0.0387510i
\(337\) −8.75268 + 4.45971i −0.476789 + 0.242936i −0.675834 0.737054i \(-0.736216\pi\)
0.199044 + 0.979990i \(0.436216\pi\)
\(338\) 0.295686 + 5.64202i 0.0160832 + 0.306886i
\(339\) 0.267556 + 2.54563i 0.0145317 + 0.138260i
\(340\) 10.8927 12.0032i 0.590740 0.650962i
\(341\) 13.9152 4.12242i 0.753551 0.223242i
\(342\) 0.863336 0.863336i 0.0466839 0.0466839i
\(343\) −5.97814 + 17.5289i −0.322789 + 0.946471i
\(344\) −7.72604 + 2.51034i −0.416560 + 0.135349i
\(345\) 1.83371 1.81947i 0.0987235 0.0979568i
\(346\) −9.05064 20.3281i −0.486565 1.09284i
\(347\) 11.4762 + 4.40529i 0.616073 + 0.236488i 0.646335 0.763054i \(-0.276301\pi\)
−0.0302618 + 0.999542i \(0.509634\pi\)
\(348\) 5.94327 + 3.85960i 0.318593 + 0.206896i
\(349\) 10.4808 + 32.2565i 0.561022 + 1.72665i 0.679484 + 0.733690i \(0.262204\pi\)
−0.118462 + 0.992959i \(0.537796\pi\)
\(350\) 8.19457 + 10.3850i 0.438018 + 0.555104i
\(351\) 14.5681 0.777585
\(352\) 2.99348 1.42795i 0.159553 0.0761101i
\(353\) 10.3398 2.77055i 0.550334 0.147461i 0.0270719 0.999633i \(-0.491382\pi\)
0.523262 + 0.852172i \(0.324715\pi\)
\(354\) −0.290653 + 0.0305488i −0.0154480 + 0.00162365i
\(355\) −3.03212 + 18.6726i −0.160928 + 0.991040i
\(356\) −0.697821 0.226736i −0.0369844 0.0120170i
\(357\) 29.1147 + 13.1318i 1.54091 + 0.695011i
\(358\) −25.6718 + 4.06602i −1.35680 + 0.214896i
\(359\) −3.26992 15.3838i −0.172580 0.811923i −0.976216 0.216802i \(-0.930437\pi\)
0.803636 0.595121i \(-0.202896\pi\)
\(360\) 0.462060 + 0.207885i 0.0243527 + 0.0109565i
\(361\) −1.04884 9.97907i −0.0552022 0.525214i
\(362\) −2.33162 0.624754i −0.122547 0.0328364i
\(363\) −14.8211 10.7665i −0.777906 0.565095i
\(364\) 7.16125 + 0.410059i 0.375351 + 0.0214930i
\(365\) −31.6076 + 13.9252i −1.65442 + 0.728879i
\(366\) −13.4674 + 14.9570i −0.703950 + 0.781815i
\(367\) −18.7750 0.983959i −0.980049 0.0513622i −0.444423 0.895817i \(-0.646591\pi\)
−0.535627 + 0.844455i \(0.679925\pi\)
\(368\) 0.248597 0.647617i 0.0129590 0.0337594i
\(369\) 0.172535 1.64156i 0.00898179 0.0854560i
\(370\) −14.3114 + 3.77501i −0.744017 + 0.196253i
\(371\) 0.961903 + 3.66063i 0.0499395 + 0.190050i
\(372\) −7.19761 1.13999i −0.373178 0.0591057i
\(373\) 1.41310 + 0.378638i 0.0731673 + 0.0196051i 0.295217 0.955430i \(-0.404608\pi\)
−0.222050 + 0.975035i \(0.571275\pi\)
\(374\) −23.6389 + 4.38210i −1.22234 + 0.226593i
\(375\) 7.37369 + 17.0969i 0.380776 + 0.882882i
\(376\) 2.07328 4.65665i 0.106921 0.240148i
\(377\) −10.2792 5.23750i −0.529405 0.269745i
\(378\) −1.55445 + 14.1315i −0.0799521 + 0.726846i
\(379\) −8.35920 + 11.5054i −0.429383 + 0.590995i −0.967812 0.251676i \(-0.919018\pi\)
0.538428 + 0.842671i \(0.319018\pi\)
\(380\) 10.7567 5.42808i 0.551806 0.278455i
\(381\) −18.4358 + 16.5997i −0.944497 + 0.850429i
\(382\) 7.04959 + 10.8554i 0.360688 + 0.555411i
\(383\) −4.11774 10.7271i −0.210407 0.548128i 0.787244 0.616642i \(-0.211507\pi\)
−0.997650 + 0.0685143i \(0.978174\pi\)
\(384\) −1.66536 −0.0849848
\(385\) −0.342955 19.6184i −0.0174786 0.999847i
\(386\) −10.2813 −0.523305
\(387\) 0.659662 + 1.71848i 0.0335325 + 0.0873551i
\(388\) −7.46847 11.5004i −0.379154 0.583846i
\(389\) −4.52653 + 4.07570i −0.229504 + 0.206646i −0.775857 0.630909i \(-0.782682\pi\)
0.546353 + 0.837555i \(0.316016\pi\)
\(390\) 9.58948 + 3.15719i 0.485582 + 0.159871i
\(391\) −2.95565 + 4.06810i −0.149474 + 0.205733i
\(392\) −1.16189 + 6.90290i −0.0586845 + 0.348649i
\(393\) −5.10456 2.60090i −0.257491 0.131198i
\(394\) −0.772976 + 1.73613i −0.0389420 + 0.0874651i
\(395\) 19.3453 0.938239i 0.973369 0.0472079i
\(396\) −0.358616 0.660431i −0.0180211 0.0331879i
\(397\) −21.9926 5.89289i −1.10377 0.295756i −0.339474 0.940615i \(-0.610249\pi\)
−0.764301 + 0.644860i \(0.776916\pi\)
\(398\) −7.59857 1.20350i −0.380882 0.0603258i
\(399\) 16.7064 + 16.8689i 0.836367 + 0.844500i
\(400\) 3.68953 + 3.37452i 0.184476 + 0.168726i
\(401\) −0.965777 + 9.18876i −0.0482286 + 0.458865i 0.943581 + 0.331141i \(0.107434\pi\)
−0.991810 + 0.127723i \(0.959233\pi\)
\(402\) −1.84614 + 4.80936i −0.0920770 + 0.239869i
\(403\) 11.8472 + 0.620886i 0.590152 + 0.0309285i
\(404\) −1.35588 + 1.50585i −0.0674574 + 0.0749190i
\(405\) −6.69339 + 17.2357i −0.332597 + 0.856451i
\(406\) 6.17737 9.41229i 0.306578 0.467124i
\(407\) 20.2826 + 8.40045i 1.00537 + 0.416395i
\(408\) 11.6605 + 3.12443i 0.577282 + 0.154682i
\(409\) 2.29122 + 21.7995i 0.113293 + 1.07791i 0.892469 + 0.451109i \(0.148971\pi\)
−0.779176 + 0.626806i \(0.784362\pi\)
\(410\) 6.68315 14.8545i 0.330057 0.733611i
\(411\) 1.38052 + 6.49483i 0.0680959 + 0.320366i
\(412\) −11.4693 + 1.81656i −0.565052 + 0.0894954i
\(413\) 0.0462981 + 0.461989i 0.00227818 + 0.0227330i
\(414\) −0.149491 0.0485725i −0.00734707 0.00238721i
\(415\) 30.7788 22.1793i 1.51087 1.08874i
\(416\) 2.69628 0.283390i 0.132196 0.0138944i
\(417\) 32.5774 8.72909i 1.59532 0.427466i
\(418\) −17.5719 3.25610i −0.859470 0.159261i
\(419\) 7.53267 0.367995 0.183998 0.982927i \(-0.441096\pi\)
0.183998 + 0.982927i \(0.441096\pi\)
\(420\) −4.08581 + 8.96524i −0.199367 + 0.437459i
\(421\) −5.77790 17.7825i −0.281597 0.866668i −0.987398 0.158257i \(-0.949413\pi\)
0.705801 0.708411i \(-0.250587\pi\)
\(422\) −4.65484 3.02289i −0.226594 0.147152i
\(423\) −1.07829 0.413918i −0.0524284 0.0201254i
\(424\) 0.581860 + 1.30688i 0.0282576 + 0.0634676i
\(425\) −19.5024 30.5498i −0.946003 1.48188i
\(426\) −13.3994 + 4.35373i −0.649203 + 0.210939i
\(427\) 23.6584 + 21.5103i 1.14491 + 1.04096i
\(428\) 7.17912 7.17912i 0.347016 0.347016i
\(429\) −8.48213 12.3406i −0.409521 0.595810i
\(430\) 0.879960 + 18.1437i 0.0424354 + 0.874966i
\(431\) 0.856543 + 8.14946i 0.0412582 + 0.392546i 0.995591 + 0.0938002i \(0.0299015\pi\)
−0.954333 + 0.298745i \(0.903432\pi\)
\(432\) 0.281223 + 5.36606i 0.0135304 + 0.258175i
\(433\) 15.2187 7.75429i 0.731362 0.372647i −0.0483129 0.998832i \(-0.515384\pi\)
0.779675 + 0.626185i \(0.215384\pi\)
\(434\) −1.86641 + 11.4259i −0.0895904 + 0.548463i
\(435\) 11.8171 10.5570i 0.566586 0.506171i
\(436\) 4.50858 0.958328i 0.215922 0.0458956i
\(437\) −3.13481 + 2.03577i −0.149958 + 0.0973842i
\(438\) −19.9911 16.1884i −0.955210 0.773514i
\(439\) 20.2480 + 35.0705i 0.966384 + 1.67383i 0.705850 + 0.708361i \(0.250565\pi\)
0.260533 + 0.965465i \(0.416102\pi\)
\(440\) −1.32332 7.29718i −0.0630870 0.347879i
\(441\) 1.57576 + 0.181053i 0.0750364 + 0.00862157i
\(442\) −19.4105 3.07433i −0.923266 0.146231i
\(443\) 1.83687 + 35.0496i 0.0872725 + 1.66526i 0.594989 + 0.803734i \(0.297157\pi\)
−0.507716 + 0.861524i \(0.669510\pi\)
\(444\) −7.37603 8.19191i −0.350051 0.388771i
\(445\) −0.898933 + 1.37249i −0.0426135 + 0.0650624i
\(446\) 5.69453 + 0.598520i 0.269644 + 0.0283407i
\(447\) −7.94023 15.5836i −0.375560 0.737078i
\(448\) −0.0128015 + 2.64572i −0.000604816 + 0.124999i
\(449\) 7.78106 + 10.7097i 0.367211 + 0.505422i 0.952140 0.305662i \(-0.0988778\pi\)
−0.584929 + 0.811084i \(0.698878\pi\)
\(450\) 0.719833 0.874883i 0.0339332 0.0412424i
\(451\) −21.2318 + 11.5289i −0.999766 + 0.542876i
\(452\) 1.48463 0.397805i 0.0698310 0.0187112i
\(453\) −1.19737 3.11925i −0.0562573 0.146555i
\(454\) 1.79134 + 5.51316i 0.0840715 + 0.258746i
\(455\) 5.08949 15.2104i 0.238599 0.713073i
\(456\) 7.25969 + 5.27448i 0.339966 + 0.247000i
\(457\) −29.7652 + 24.1034i −1.39236 + 1.12751i −0.416488 + 0.909141i \(0.636739\pi\)
−0.975867 + 0.218366i \(0.929927\pi\)
\(458\) 0.735515 14.0345i 0.0343684 0.655787i
\(459\) 8.09836 38.0998i 0.377999 1.77835i
\(460\) −1.25134 0.916624i −0.0583439 0.0427378i
\(461\) 5.72987i 0.266867i −0.991058 0.133433i \(-0.957400\pi\)
0.991058 0.133433i \(-0.0426002\pi\)
\(462\) 12.8759 6.91118i 0.599040 0.321537i
\(463\) 5.42629 5.42629i 0.252181 0.252181i −0.569683 0.821864i \(-0.692934\pi\)
0.821864 + 0.569683i \(0.192934\pi\)
\(464\) 1.73077 3.88738i 0.0803491 0.180467i
\(465\) −6.68574 + 14.8602i −0.310044 + 0.689127i
\(466\) −19.6201 21.7904i −0.908886 1.00942i
\(467\) 21.9029 + 27.0478i 1.01354 + 1.25162i 0.967550 + 0.252681i \(0.0813124\pi\)
0.0459947 + 0.998942i \(0.485354\pi\)
\(468\) −0.0961002 0.606753i −0.00444223 0.0280472i
\(469\) 7.62634 + 2.96990i 0.352152 + 0.137137i
\(470\) −8.82988 7.20747i −0.407292 0.332456i
\(471\) 35.4788 + 15.7962i 1.63478 + 0.727850i
\(472\) 0.0454202 + 0.169511i 0.00209064 + 0.00780236i
\(473\) 15.2599 22.2050i 0.701652 1.02099i
\(474\) 7.21238 + 12.4922i 0.331275 + 0.573786i
\(475\) −5.39584 26.3958i −0.247578 1.21112i
\(476\) 5.05336 18.5008i 0.231620 0.847985i
\(477\) 0.288820 0.147161i 0.0132242 0.00673805i
\(478\) −5.91442 7.30370i −0.270519 0.334064i
\(479\) 24.2647 10.8033i 1.10868 0.493617i 0.231045 0.972943i \(-0.425785\pi\)
0.877637 + 0.479326i \(0.159119\pi\)
\(480\) −0.977818 + 3.59318i −0.0446311 + 0.164005i
\(481\) 13.3361 + 12.0079i 0.608074 + 0.547512i
\(482\) −0.830923 + 5.24624i −0.0378475 + 0.238960i
\(483\) 0.958561 2.90229i 0.0436160 0.132059i
\(484\) −4.99318 + 9.80144i −0.226963 + 0.445520i
\(485\) −29.1985 + 9.36148i −1.32584 + 0.425083i
\(486\) 2.33675 0.245603i 0.105997 0.0111408i
\(487\) 0.673395 + 1.03694i 0.0305145 + 0.0469881i 0.853599 0.520931i \(-0.174415\pi\)
−0.823084 + 0.567919i \(0.807749\pi\)
\(488\) 10.1357 + 6.58223i 0.458824 + 0.297964i
\(489\) 12.1826 + 8.85121i 0.550918 + 0.400266i
\(490\) 14.2115 + 6.55996i 0.642010 + 0.296349i
\(491\) 6.92200 21.3037i 0.312386 0.961424i −0.664432 0.747349i \(-0.731326\pi\)
0.976817 0.214075i \(-0.0686737\pi\)
\(492\) 12.1147 0.634903i 0.546172 0.0286236i
\(493\) −19.4118 + 23.9716i −0.874264 + 1.07963i
\(494\) −12.6513 7.30423i −0.569209 0.328633i
\(495\) −1.63551 + 0.385977i −0.0735107 + 0.0173484i
\(496\) 4.37584i 0.196481i
\(497\) 6.81369 + 21.3208i 0.305636 + 0.956371i
\(498\) 25.1751 + 12.8274i 1.12812 + 0.574808i
\(499\) 1.57993 + 7.43301i 0.0707276 + 0.332747i 0.999258 0.0385085i \(-0.0122607\pi\)
−0.928531 + 0.371256i \(0.878927\pi\)
\(500\) 9.44719 5.97918i 0.422491 0.267397i
\(501\) 26.6747 11.8763i 1.19174 0.530595i
\(502\) −5.06170 + 7.79433i −0.225915 + 0.347878i
\(503\) −12.7080 + 24.9408i −0.566620 + 1.11205i 0.412913 + 0.910771i \(0.364511\pi\)
−0.979533 + 0.201284i \(0.935489\pi\)
\(504\) 0.598825 0.0284784i 0.0266738 0.00126853i
\(505\) 2.45293 + 3.80961i 0.109154 + 0.169525i
\(506\) 0.653519 + 2.20595i 0.0290525 + 0.0980664i
\(507\) 2.43519 + 9.08827i 0.108151 + 0.403624i
\(508\) 11.5767 + 9.37464i 0.513633 + 0.415932i
\(509\) 5.56748 6.18331i 0.246774 0.274070i −0.607014 0.794691i \(-0.707633\pi\)
0.853788 + 0.520621i \(0.174299\pi\)
\(510\) 13.5878 23.3243i 0.601677 1.03282i
\(511\) −25.8720 + 31.6350i −1.14451 + 1.39945i
\(512\) 0.156434 + 0.987688i 0.00691349 + 0.0436501i
\(513\) 15.7693 24.2826i 0.696233 1.07210i
\(514\) −5.66347 1.20381i −0.249805 0.0530977i
\(515\) −2.81481 + 25.8128i −0.124036 + 1.13745i
\(516\) −11.7162 + 6.76438i −0.515779 + 0.297785i
\(517\) 3.94722 + 16.4387i 0.173598 + 0.722974i
\(518\) −13.0710 + 11.6552i −0.574308 + 0.512100i
\(519\) −21.7817 29.9799i −0.956110 1.31597i
\(520\) 0.971683 5.98390i 0.0426111 0.262411i
\(521\) −13.4218 + 12.0851i −0.588022 + 0.529457i −0.908547 0.417783i \(-0.862807\pi\)
0.320525 + 0.947240i \(0.396141\pi\)
\(522\) −0.900160 0.345539i −0.0393989 0.0151238i
\(523\) −27.2345 + 22.0541i −1.19088 + 0.964358i −0.999852 0.0172257i \(-0.994517\pi\)
−0.191032 + 0.981584i \(0.561183\pi\)
\(524\) −1.06305 + 3.27172i −0.0464395 + 0.142926i
\(525\) 16.9444 + 14.0795i 0.739516 + 0.614480i
\(526\) 14.3411 10.4194i 0.625303 0.454309i
\(527\) 8.20965 30.6388i 0.357618 1.33465i
\(528\) 4.38185 3.36257i 0.190696 0.146337i
\(529\) −19.5018 11.2594i −0.847906 0.489539i
\(530\) 3.16137 0.488086i 0.137321 0.0212011i
\(531\) 0.0378182 0.0122879i 0.00164117 0.000533248i
\(532\) 8.43527 11.4928i 0.365715 0.498276i
\(533\) −19.5061 + 3.08947i −0.844904 + 0.133820i
\(534\) −1.21523 0.127726i −0.0525882 0.00552724i
\(535\) −11.2745 19.7049i −0.487437 0.851919i
\(536\) 3.02575 + 0.643142i 0.130692 + 0.0277795i
\(537\) −40.4106 + 15.5122i −1.74385 + 0.669400i
\(538\) 12.8791 + 12.8791i 0.555259 + 0.555259i
\(539\) −10.8807 20.5088i −0.468664 0.883376i
\(540\) 11.7429 + 2.54393i 0.505336 + 0.109473i
\(541\) 9.98647 + 4.44626i 0.429352 + 0.191160i 0.610023 0.792384i \(-0.291160\pi\)
−0.180671 + 0.983544i \(0.557827\pi\)
\(542\) −4.94734 + 3.21284i −0.212507 + 0.138003i
\(543\) −4.01444 0.210388i −0.172276 0.00902860i
\(544\) 0.757708 7.20911i 0.0324865 0.309088i
\(545\) 0.579532 10.2904i 0.0248244 0.440793i
\(546\) 11.8074 1.81159i 0.505310 0.0775288i
\(547\) 9.48799 18.6212i 0.405677 0.796186i −0.594290 0.804251i \(-0.702567\pi\)
0.999967 + 0.00806428i \(0.00256697\pi\)
\(548\) 3.72227 1.42885i 0.159007 0.0610373i
\(549\) 1.36923 2.37157i 0.0584372 0.101216i
\(550\) −16.5214 1.42935i −0.704475 0.0609477i
\(551\) −19.8569 + 11.4644i −0.845932 + 0.488399i
\(552\) 0.180720 1.14102i 0.00769195 0.0485651i
\(553\) 19.9016 11.3621i 0.846301 0.483167i
\(554\) 16.3314 + 5.30640i 0.693856 + 0.225447i
\(555\) −22.0057 + 11.1046i −0.934092 + 0.471366i
\(556\) −8.23719 18.5010i −0.349335 0.784619i
\(557\) 1.46693 27.9907i 0.0621559 1.18601i −0.772420 0.635112i \(-0.780954\pi\)
0.834576 0.550893i \(-0.185713\pi\)
\(558\) 0.990163 0.0518923i 0.0419170 0.00219677i
\(559\) 17.8180 12.9455i 0.753621 0.547538i
\(560\) 5.70090 + 1.58106i 0.240907 + 0.0668121i
\(561\) −36.9896 + 15.3232i −1.56170 + 0.646944i
\(562\) 1.56537 5.84202i 0.0660309 0.246431i
\(563\) −20.2880 + 25.0536i −0.855036 + 1.05588i 0.142775 + 0.989755i \(0.454397\pi\)
−0.997811 + 0.0661263i \(0.978936\pi\)
\(564\) 1.76494 8.30338i 0.0743173 0.349635i
\(565\) 0.0133980 3.43681i 0.000563659 0.144588i
\(566\) −3.67916 + 5.06393i −0.154647 + 0.212853i
\(567\) 2.18151 + 21.7684i 0.0916149 + 0.914186i
\(568\) 3.84077 + 7.53794i 0.161155 + 0.316285i
\(569\) 9.49523 + 8.54954i 0.398061 + 0.358416i 0.843717 0.536789i \(-0.180363\pi\)
−0.445656 + 0.895204i \(0.647029\pi\)
\(570\) 15.6428 12.5666i 0.655204 0.526358i
\(571\) −17.1917 + 29.7768i −0.719449 + 1.24612i 0.241770 + 0.970334i \(0.422272\pi\)
−0.961218 + 0.275788i \(0.911061\pi\)
\(572\) −6.52220 + 6.18979i −0.272707 + 0.258808i
\(573\) 15.2422 + 15.2422i 0.636751 + 0.636751i
\(574\) −0.915534 19.2512i −0.0382136 0.803531i
\(575\) −2.71244 + 2.16169i −0.113116 + 0.0901487i
\(576\) 0.221639 0.0471108i 0.00923495 0.00196295i
\(577\) 14.7439 38.4093i 0.613798 1.59900i −0.175151 0.984542i \(-0.556041\pi\)
0.788949 0.614458i \(-0.210625\pi\)
\(578\) −12.7383 + 33.1845i −0.529844 + 1.38029i
\(579\) −16.7479 + 3.55987i −0.696018 + 0.147943i
\(580\) −7.37120 6.01681i −0.306072 0.249834i
\(581\) 20.5721 39.8966i 0.853475 1.65519i
\(582\) −16.1479 16.1479i −0.669350 0.669350i
\(583\) −4.16974 2.26378i −0.172693 0.0937564i
\(584\) −7.72318 + 13.3769i −0.319588 + 0.553542i
\(585\) −1.36556 0.148910i −0.0564589 0.00615669i
\(586\) −11.9608 10.7695i −0.494096 0.444886i
\(587\) 6.27740 + 12.3201i 0.259096 + 0.508504i 0.983508 0.180862i \(-0.0578889\pi\)
−0.724413 + 0.689367i \(0.757889\pi\)
\(588\) 0.497423 + 11.6469i 0.0205134 + 0.480309i
\(589\) 13.8591 19.0753i 0.571052 0.785986i
\(590\) 0.392405 + 0.00152975i 0.0161551 + 6.29787e-5i
\(591\) −0.658019 + 3.09574i −0.0270673 + 0.127342i
\(592\) −4.16559 + 5.14407i −0.171205 + 0.211420i
\(593\) 0.623178 2.32573i 0.0255908 0.0955063i −0.951949 0.306256i \(-0.900924\pi\)
0.977540 + 0.210749i \(0.0675904\pi\)
\(594\) −11.5747 13.5512i −0.474916 0.556014i
\(595\) −36.9504 21.7660i −1.51482 0.892317i
\(596\) −8.49644 + 6.17302i −0.348028 + 0.252857i
\(597\) −12.7945 + 0.670531i −0.523644 + 0.0274430i
\(598\) −0.0984277 + 1.87811i −0.00402501 + 0.0768018i
\(599\) −1.54366 3.46712i −0.0630724 0.141663i 0.879259 0.476344i \(-0.158038\pi\)
−0.942332 + 0.334681i \(0.891372\pi\)
\(600\) 7.17852 + 4.21949i 0.293062 + 0.172260i
\(601\) 6.97654 + 2.26682i 0.284579 + 0.0924653i 0.447828 0.894120i \(-0.352198\pi\)
−0.163249 + 0.986585i \(0.552198\pi\)
\(602\) 10.6564 + 18.6654i 0.434322 + 0.760744i
\(603\) 0.109648 0.692292i 0.00446522 0.0281923i
\(604\) −1.73749 + 1.00314i −0.0706975 + 0.0408172i
\(605\) 18.2159 + 16.5282i 0.740580 + 0.671969i
\(606\) −1.68728 + 2.92245i −0.0685409 + 0.118716i
\(607\) 4.04677 1.55341i 0.164253 0.0630509i −0.274852 0.961487i \(-0.588629\pi\)
0.439105 + 0.898436i \(0.355296\pi\)
\(608\) 2.44625 4.80103i 0.0992085 0.194708i
\(609\) 6.80373 17.4712i 0.275701 0.707968i
\(610\) 20.1531 18.0041i 0.815974 0.728967i
\(611\) −1.44454 + 13.7439i −0.0584397 + 0.556017i
\(612\) −1.64026 0.0859624i −0.0663036 0.00347483i
\(613\) 3.40571 2.21169i 0.137555 0.0893294i −0.474027 0.880510i \(-0.657200\pi\)
0.611582 + 0.791181i \(0.290533\pi\)
\(614\) −22.5376 10.0344i −0.909544 0.404955i
\(615\) 5.74329 26.5114i 0.231592 1.06904i
\(616\) −5.30837 6.98722i −0.213880 0.281523i
\(617\) 25.7194 + 25.7194i 1.03542 + 1.03542i 0.999349 + 0.0360736i \(0.0114851\pi\)
0.0360736 + 0.999349i \(0.488515\pi\)
\(618\) −18.0541 + 6.93032i −0.726242 + 0.278778i
\(619\) 8.50917 + 1.80868i 0.342013 + 0.0726970i 0.375716 0.926735i \(-0.377397\pi\)
−0.0337034 + 0.999432i \(0.510730\pi\)
\(620\) 9.44132 + 2.56928i 0.379173 + 0.103185i
\(621\) −3.70708 0.389630i −0.148760 0.0156353i
\(622\) −13.9000 + 2.20155i −0.557341 + 0.0882741i
\(623\) −0.212257 + 1.92963i −0.00850391 + 0.0773092i
\(624\) 4.29402 1.39521i 0.171898 0.0558532i
\(625\) −7.35374 23.8940i −0.294150 0.955759i
\(626\) 1.74119 + 1.00528i 0.0695921 + 0.0401790i
\(627\) −29.7514 + 0.780154i −1.18816 + 0.0311563i
\(628\) 6.03571 22.5256i 0.240851 0.898868i
\(629\) 38.8177 28.2027i 1.54776 1.12452i
\(630\) 0.290156 1.30875i 0.0115601 0.0521417i
\(631\) 1.22732 3.77729i 0.0488587 0.150371i −0.923651 0.383236i \(-0.874810\pi\)
0.972509 + 0.232864i \(0.0748097\pi\)
\(632\) 6.73138 5.45096i 0.267760 0.216828i
\(633\) −8.62923 3.31245i −0.342981 0.131658i
\(634\) −1.71535 + 1.54451i −0.0681254 + 0.0613404i
\(635\) 27.0240 19.4736i 1.07242 0.772787i
\(636\) 1.40033 + 1.92739i 0.0555267 + 0.0764260i
\(637\) −2.78727 18.7721i −0.110436 0.743779i
\(638\) 3.29514 + 13.7231i 0.130456 + 0.543301i
\(639\) 1.66014 0.958481i 0.0656740 0.0379169i
\(640\) 2.22289 + 0.242400i 0.0878675 + 0.00958171i
\(641\) −23.0300 4.89518i −0.909630 0.193348i −0.270746 0.962651i \(-0.587270\pi\)
−0.638884 + 0.769303i \(0.720604\pi\)
\(642\) 9.20878 14.1803i 0.363442 0.559651i
\(643\) −5.57033 35.1697i −0.219673 1.38696i −0.813125 0.582089i \(-0.802236\pi\)
0.593453 0.804869i \(-0.297764\pi\)
\(644\) −1.81133 0.295878i −0.0713764 0.0116592i
\(645\) 7.71562 + 29.2507i 0.303802 + 1.15175i
\(646\) −26.1356 + 29.0265i −1.02829 + 1.14203i
\(647\) −5.01282 4.05930i −0.197074 0.159588i 0.525704 0.850668i \(-0.323802\pi\)
−0.722778 + 0.691080i \(0.757135\pi\)
\(648\) 2.14015 + 7.98713i 0.0840728 + 0.313764i
\(649\) −0.461773 0.354304i −0.0181262 0.0139076i
\(650\) −12.3403 5.60997i −0.484028 0.220041i
\(651\) 0.915888 + 19.2587i 0.0358965 + 0.754807i
\(652\) 4.10510 8.05671i 0.160768 0.315525i
\(653\) −24.0548 + 37.0412i −0.941339 + 1.44953i −0.0486733 + 0.998815i \(0.515499\pi\)
−0.892665 + 0.450720i \(0.851167\pi\)
\(654\) 7.01249 3.12216i 0.274210 0.122086i
\(655\) 6.43491 + 4.21464i 0.251433 + 0.164679i
\(656\) −1.51453 7.12532i −0.0591326 0.278197i
\(657\) 3.11852 + 1.58897i 0.121665 + 0.0619914i
\(658\) −13.1779 2.86775i −0.513727 0.111797i
\(659\) 23.9051i 0.931212i 0.884992 + 0.465606i \(0.154164\pi\)
−0.884992 + 0.465606i \(0.845836\pi\)
\(660\) −4.68227 11.4286i −0.182257 0.444859i
\(661\) 33.3740 + 19.2685i 1.29810 + 0.749457i 0.980075 0.198626i \(-0.0636478\pi\)
0.318023 + 0.948083i \(0.396981\pi\)
\(662\) −5.13331 + 6.33911i −0.199512 + 0.246377i
\(663\) −32.6836 + 1.71287i −1.26932 + 0.0665224i
\(664\) 5.24283 16.1358i 0.203461 0.626189i
\(665\) −19.8441 24.9480i −0.769522 0.967442i
\(666\) 1.21340 + 0.881586i 0.0470183 + 0.0341608i
\(667\) 2.47563 + 1.60769i 0.0958566 + 0.0622500i
\(668\) −9.54928 14.7046i −0.369473 0.568938i
\(669\) 9.48342 0.996748i 0.366650 0.0385365i
\(670\) 3.16422 6.15074i 0.122245 0.237624i
\(671\) −39.9594 + 3.14634i −1.54261 + 0.121463i
\(672\) 0.895219 + 4.31421i 0.0345338 + 0.166424i
\(673\) 7.33570 46.3158i 0.282771 1.78534i −0.281303 0.959619i \(-0.590767\pi\)
0.564074 0.825724i \(-0.309233\pi\)
\(674\) 7.30018 + 6.57311i 0.281193 + 0.253187i
\(675\) 12.3837 23.8429i 0.476648 0.917715i
\(676\) 5.16132 2.29797i 0.198512 0.0883833i
\(677\) −16.8201 20.7711i −0.646448 0.798297i 0.343586 0.939121i \(-0.388358\pi\)
−0.990035 + 0.140824i \(0.955025\pi\)
\(678\) 2.28067 1.16206i 0.0875885 0.0446285i
\(679\) −25.7779 + 25.5297i −0.989266 + 0.979739i
\(680\) −15.1095 5.86768i −0.579423 0.225015i
\(681\) 4.82694 + 8.36050i 0.184969 + 0.320375i
\(682\) −8.83538 11.5136i −0.338324 0.440879i
\(683\) −1.83982 6.86629i −0.0703987 0.262731i 0.921752 0.387780i \(-0.126758\pi\)
−0.992151 + 0.125049i \(0.960091\pi\)
\(684\) −1.11539 0.496602i −0.0426478 0.0189880i
\(685\) −0.897342 8.87013i −0.0342857 0.338910i
\(686\) 18.5070 0.700718i 0.706600 0.0267535i
\(687\) −3.66126 23.1163i −0.139686 0.881942i
\(688\) 5.11237 + 6.31326i 0.194907 + 0.240691i
\(689\) −2.59517 2.88223i −0.0988683 0.109804i
\(690\) −2.35576 1.05988i −0.0896823 0.0403488i
\(691\) −5.02352 + 11.2830i −0.191104 + 0.429226i −0.983531 0.180741i \(-0.942151\pi\)
0.792427 + 0.609967i \(0.208817\pi\)
\(692\) −15.7344 + 15.7344i −0.598133 + 0.598133i
\(693\) −1.51812 + 1.28404i −0.0576684 + 0.0487765i
\(694\) 12.2926i 0.466623i
\(695\) −44.7544 + 6.90966i −1.69763 + 0.262098i
\(696\) 1.47337 6.93168i 0.0558481 0.262744i
\(697\) −2.76355 + 52.7317i −0.104677 + 1.99736i
\(698\) 26.3580 21.3443i 0.997666 0.807894i
\(699\) −39.5054 28.7023i −1.49423 1.08562i
\(700\) 6.75860 11.3720i 0.255451 0.429819i
\(701\) 2.77017 + 8.52572i 0.104628 + 0.322012i 0.989643 0.143551i \(-0.0458520\pi\)
−0.885015 + 0.465563i \(0.845852\pi\)
\(702\) −5.22072 13.6004i −0.197043 0.513316i
\(703\) 34.4510 9.23112i 1.29935 0.348158i
\(704\) −2.40588 2.28293i −0.0906749 0.0860410i
\(705\) −16.8791 8.68339i −0.635704 0.327035i
\(706\) −6.29199 8.66019i −0.236802 0.325930i
\(707\) 4.62987 + 2.70301i 0.174124 + 0.101657i
\(708\) 0.132680 + 0.260400i 0.00498644 + 0.00978643i
\(709\) −25.3497 2.66436i −0.952029 0.100062i −0.384237 0.923234i \(-0.625536\pi\)
−0.567792 + 0.823172i \(0.692202\pi\)
\(710\) 18.5190 3.86094i 0.695006 0.144899i
\(711\) −1.31327 1.45853i −0.0492514 0.0546992i
\(712\) 0.0384006 + 0.732727i 0.00143912 + 0.0274601i
\(713\) −2.99811 0.474854i −0.112280 0.0177834i
\(714\) 1.82587 31.8869i 0.0683316 1.19334i
\(715\) 9.52558 + 17.7067i 0.356237 + 0.662192i
\(716\) 12.9959 + 22.5096i 0.485680 + 0.841222i
\(717\) −12.1633 9.84962i −0.454245 0.367841i
\(718\) −13.1901 + 8.56578i −0.492252 + 0.319672i
\(719\) 6.85845 1.45781i 0.255777 0.0543670i −0.0782385 0.996935i \(-0.524930\pi\)
0.334015 + 0.942568i \(0.391596\pi\)
\(720\) 0.0284894 0.505870i 0.00106174 0.0188527i
\(721\) 10.8713 + 28.7355i 0.404868 + 1.07017i
\(722\) −8.94039 + 4.55536i −0.332727 + 0.169533i
\(723\) 0.462951 + 8.83364i 0.0172173 + 0.328527i
\(724\) 0.252318 + 2.40064i 0.00937731 + 0.0892192i
\(725\) −17.3099 + 12.3713i −0.642873 + 0.459460i
\(726\) −4.73999 + 17.6951i −0.175918 + 0.656725i
\(727\) 17.6537 17.6537i 0.654740 0.654740i −0.299391 0.954131i \(-0.596783\pi\)
0.954131 + 0.299391i \(0.0967834\pi\)
\(728\) −2.18354 6.83255i −0.0809273 0.253231i
\(729\) 27.3140 8.87485i 1.01163 0.328698i
\(730\) 24.3275 + 24.5179i 0.900400 + 0.907447i
\(731\) −23.9514 53.7958i −0.885875 1.98971i
\(732\) 18.7898 + 7.21274i 0.694492 + 0.266591i
\(733\) −15.1267 9.82337i −0.558716 0.362834i 0.234178 0.972194i \(-0.424760\pi\)
−0.792894 + 0.609359i \(0.791427\pi\)
\(734\) 5.80977 + 17.8806i 0.214443 + 0.659986i
\(735\) 25.4214 + 5.76525i 0.937682 + 0.212654i
\(736\) −0.693692 −0.0255698
\(737\) −9.25988 + 4.41715i −0.341092 + 0.162708i
\(738\) −1.59436 + 0.427206i −0.0586891 + 0.0157257i
\(739\) −31.4141 + 3.30175i −1.15559 + 0.121457i −0.662871 0.748734i \(-0.730662\pi\)
−0.492715 + 0.870191i \(0.663996\pi\)
\(740\) 8.65304 + 12.0080i 0.318092 + 0.441425i
\(741\) −23.1376 7.51785i −0.849980 0.276175i
\(742\) 3.07277 2.20986i 0.112805 0.0811267i
\(743\) −0.935777 + 0.148212i −0.0343303 + 0.00543739i −0.173576 0.984820i \(-0.555532\pi\)
0.139246 + 0.990258i \(0.455532\pi\)
\(744\) 1.51512 + 7.12808i 0.0555470 + 0.261328i
\(745\) 8.33023 + 21.9564i 0.305196 + 0.804422i
\(746\) −0.152919 1.45493i −0.00559878 0.0532688i
\(747\) −3.71337 0.994995i −0.135865 0.0364050i
\(748\) 12.5625 + 20.4984i 0.459329 + 0.749495i
\(749\) −22.4572 14.7388i −0.820567 0.538545i
\(750\) 13.3189 13.0109i 0.486336 0.475092i
\(751\) 29.7961 33.0919i 1.08727 1.20754i 0.110363 0.993891i \(-0.464799\pi\)
0.976911 0.213648i \(-0.0685347\pi\)
\(752\) −5.09035 0.266774i −0.185626 0.00972825i
\(753\) −5.54656 + 14.4493i −0.202128 + 0.526561i
\(754\) −1.20590 + 11.4734i −0.0439164 + 0.417836i
\(755\) 1.14421 + 4.33781i 0.0416420 + 0.157869i
\(756\) 13.7500 3.61307i 0.500081 0.131406i
\(757\) 19.8886 + 3.15005i 0.722864 + 0.114490i 0.507016 0.861937i \(-0.330748\pi\)
0.215848 + 0.976427i \(0.430748\pi\)
\(758\) 13.7369 + 3.68080i 0.498948 + 0.133693i
\(759\) 1.82836 + 3.36713i 0.0663653 + 0.122219i
\(760\) −8.92240 8.09697i −0.323650 0.293708i
\(761\) −0.442409 + 0.993667i −0.0160373 + 0.0360204i −0.921387 0.388647i \(-0.872942\pi\)
0.905349 + 0.424668i \(0.139609\pi\)
\(762\) 22.1040 + 11.2625i 0.800743 + 0.407999i
\(763\) −4.90622 11.1646i −0.177617 0.404186i
\(764\) 7.60805 10.4716i 0.275250 0.378849i
\(765\) −1.14856 + 3.48856i −0.0415261 + 0.126129i
\(766\) −8.53892 + 7.68848i −0.308524 + 0.277796i
\(767\) −0.259127 0.399020i −0.00935653 0.0144078i
\(768\) 0.596810 + 1.55474i 0.0215355 + 0.0561020i
\(769\) 36.9221 1.33145 0.665723 0.746199i \(-0.268123\pi\)
0.665723 + 0.746199i \(0.268123\pi\)
\(770\) −18.1925 + 7.35079i −0.655611 + 0.264904i
\(771\) −9.64240 −0.347263
\(772\) </