Properties

Label 648.2.bb.b.155.28
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.28
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.28

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.900596 + 1.09038i) q^{2} +(-1.22792 - 1.22156i) q^{3} +(-0.377855 - 1.96398i) q^{4} +(2.79167 - 1.83611i) q^{5} +(2.43783 - 0.238759i) q^{6} +(1.37351 + 1.29584i) q^{7} +(2.48178 + 1.35675i) q^{8} +(0.0155586 + 2.99996i) q^{9} +O(q^{10})\) \(q+(-0.900596 + 1.09038i) q^{2} +(-1.22792 - 1.22156i) q^{3} +(-0.377855 - 1.96398i) q^{4} +(2.79167 - 1.83611i) q^{5} +(2.43783 - 0.238759i) q^{6} +(1.37351 + 1.29584i) q^{7} +(2.48178 + 1.35675i) q^{8} +(0.0155586 + 2.99996i) q^{9} +(-0.512109 + 4.69757i) q^{10} +(1.73366 + 3.45199i) q^{11} +(-1.93516 + 2.87318i) q^{12} +(0.329892 - 0.142302i) q^{13} +(-2.64993 + 0.330618i) q^{14} +(-5.67087 - 1.15562i) q^{15} +(-3.71445 + 1.48420i) q^{16} +(-2.24947 - 2.68082i) q^{17} +(-3.28511 - 2.68479i) q^{18} +(4.69816 + 3.94222i) q^{19} +(-4.66094 - 4.78901i) q^{20} +(-0.103603 - 3.26901i) q^{21} +(-5.32531 - 1.21851i) q^{22} +(2.70963 + 2.87204i) q^{23} +(-1.39006 - 4.69763i) q^{24} +(2.44173 - 5.66056i) q^{25} +(-0.141937 + 0.487864i) q^{26} +(3.64554 - 3.70271i) q^{27} +(2.02601 - 3.18718i) q^{28} +(-3.12225 + 0.364939i) q^{29} +(6.36722 - 5.14266i) q^{30} +(1.70184 + 7.18063i) q^{31} +(1.72688 - 5.38683i) q^{32} +(2.08805 - 6.35654i) q^{33} +(4.94898 - 0.0384467i) q^{34} +(6.21368 + 1.09564i) q^{35} +(5.88599 - 1.16411i) q^{36} +(10.0274 - 1.76809i) q^{37} +(-8.52966 + 1.57243i) q^{38} +(-0.578911 - 0.228250i) q^{39} +(9.41946 - 0.769229i) q^{40} +(-4.99836 - 3.72114i) q^{41} +(3.65776 + 2.83109i) q^{42} +(0.0897814 - 1.54149i) q^{43} +(6.12458 - 4.70922i) q^{44} +(5.55169 + 8.34633i) q^{45} +(-5.57190 + 0.367979i) q^{46} +(-9.42770 - 2.23441i) q^{47} +(6.37408 + 2.71497i) q^{48} +(-0.199686 - 3.42848i) q^{49} +(3.97315 + 7.76028i) q^{50} +(-0.512627 + 6.03970i) q^{51} +(-0.404129 - 0.594133i) q^{52} +(5.46674 + 9.46867i) q^{53} +(0.754197 + 7.30966i) q^{54} +(11.1780 + 6.45365i) q^{55} +(1.65062 + 5.07948i) q^{56} +(-0.953266 - 10.5798i) q^{57} +(2.41396 - 3.73310i) q^{58} +(2.69050 - 5.35723i) q^{59} +(-0.126844 + 11.5741i) q^{60} +(-8.17064 + 2.44613i) q^{61} +(-9.36229 - 4.61119i) q^{62} +(-3.86609 + 4.14062i) q^{63} +(4.31847 + 6.73430i) q^{64} +(0.659669 - 1.00298i) q^{65} +(5.05055 + 8.00143i) q^{66} +(3.47825 + 0.406549i) q^{67} +(-4.41511 + 5.43089i) q^{68} +(0.181184 - 6.83662i) q^{69} +(-6.79067 + 5.78854i) q^{70} +(-7.42810 - 2.70361i) q^{71} +(-4.03158 + 7.46635i) q^{72} +(15.3949 - 5.60329i) q^{73} +(-7.10270 + 12.5260i) q^{74} +(-9.91297 + 3.96796i) q^{75} +(5.96723 - 10.7167i) q^{76} +(-2.09203 + 6.98787i) q^{77} +(0.770244 - 0.425672i) q^{78} +(7.12987 - 5.30800i) q^{79} +(-7.64437 + 10.9635i) q^{80} +(-8.99952 + 0.0933504i) q^{81} +(8.55895 - 2.09886i) q^{82} +(2.75125 - 2.04823i) q^{83} +(-6.38112 + 1.43868i) q^{84} +(-11.2021 - 3.35368i) q^{85} +(1.59995 + 1.48615i) q^{86} +(4.27966 + 3.36592i) q^{87} +(-0.380933 + 10.9192i) q^{88} +(-4.05959 - 11.1536i) q^{89} +(-14.1005 - 1.46322i) q^{90} +(0.637509 + 0.232034i) q^{91} +(4.61679 - 6.40689i) q^{92} +(6.68189 - 10.8961i) q^{93} +(10.9269 - 8.26748i) q^{94} +(20.3541 + 2.37905i) q^{95} +(-8.70082 + 4.50508i) q^{96} +(10.8409 + 7.13016i) q^{97} +(3.91818 + 2.86994i) q^{98} +(-10.3289 + 5.25461i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.900596 + 1.09038i −0.636817 + 0.771015i
\(3\) −1.22792 1.22156i −0.708938 0.705271i
\(4\) −0.377855 1.96398i −0.188927 0.981991i
\(5\) 2.79167 1.83611i 1.24847 0.821134i 0.259004 0.965876i \(-0.416606\pi\)
0.989469 + 0.144742i \(0.0462354\pi\)
\(6\) 2.43783 0.238759i 0.995238 0.0974730i
\(7\) 1.37351 + 1.29584i 0.519137 + 0.489780i 0.900627 0.434593i \(-0.143108\pi\)
−0.381491 + 0.924373i \(0.624589\pi\)
\(8\) 2.48178 + 1.35675i 0.877442 + 0.479683i
\(9\) 0.0155586 + 2.99996i 0.00518620 + 0.999987i
\(10\) −0.512109 + 4.69757i −0.161943 + 1.48550i
\(11\) 1.73366 + 3.45199i 0.522717 + 1.04082i 0.987826 + 0.155562i \(0.0497189\pi\)
−0.465109 + 0.885253i \(0.653985\pi\)
\(12\) −1.93516 + 2.87318i −0.558632 + 0.829416i
\(13\) 0.329892 0.142302i 0.0914957 0.0394674i −0.349840 0.936809i \(-0.613764\pi\)
0.441336 + 0.897342i \(0.354505\pi\)
\(14\) −2.64993 + 0.330618i −0.708223 + 0.0883615i
\(15\) −5.67087 1.15562i −1.46421 0.298379i
\(16\) −3.71445 + 1.48420i −0.928613 + 0.371050i
\(17\) −2.24947 2.68082i −0.545578 0.650194i 0.420851 0.907130i \(-0.361732\pi\)
−0.966428 + 0.256936i \(0.917287\pi\)
\(18\) −3.28511 2.68479i −0.774307 0.632810i
\(19\) 4.69816 + 3.94222i 1.07783 + 0.904408i 0.995739 0.0922169i \(-0.0293953\pi\)
0.0820924 + 0.996625i \(0.473840\pi\)
\(20\) −4.66094 4.78901i −1.04222 1.07085i
\(21\) −0.103603 3.26901i −0.0226080 0.713356i
\(22\) −5.32531 1.21851i −1.13536 0.259787i
\(23\) 2.70963 + 2.87204i 0.564998 + 0.598863i 0.945381 0.325966i \(-0.105690\pi\)
−0.380384 + 0.924829i \(0.624208\pi\)
\(24\) −1.39006 4.69763i −0.283745 0.958900i
\(25\) 2.44173 5.66056i 0.488345 1.13211i
\(26\) −0.141937 + 0.487864i −0.0278361 + 0.0956781i
\(27\) 3.64554 3.70271i 0.701585 0.712586i
\(28\) 2.02601 3.18718i 0.382880 0.602320i
\(29\) −3.12225 + 0.364939i −0.579787 + 0.0677674i −0.400932 0.916108i \(-0.631314\pi\)
−0.178855 + 0.983875i \(0.557239\pi\)
\(30\) 6.36722 5.14266i 1.16249 0.938916i
\(31\) 1.70184 + 7.18063i 0.305660 + 1.28968i 0.881526 + 0.472136i \(0.156517\pi\)
−0.575866 + 0.817544i \(0.695335\pi\)
\(32\) 1.72688 5.38683i 0.305272 0.952265i
\(33\) 2.08805 6.35654i 0.363483 1.10653i
\(34\) 4.94898 0.0384467i 0.848743 0.00659355i
\(35\) 6.21368 + 1.09564i 1.05030 + 0.185197i
\(36\) 5.88599 1.16411i 0.980998 0.194018i
\(37\) 10.0274 1.76809i 1.64849 0.290673i 0.729211 0.684289i \(-0.239887\pi\)
0.919275 + 0.393616i \(0.128776\pi\)
\(38\) −8.52966 + 1.57243i −1.38369 + 0.255081i
\(39\) −0.578911 0.228250i −0.0927000 0.0365493i
\(40\) 9.41946 0.769229i 1.48935 0.121626i
\(41\) −4.99836 3.72114i −0.780612 0.581144i 0.131389 0.991331i \(-0.458056\pi\)
−0.912002 + 0.410186i \(0.865464\pi\)
\(42\) 3.65776 + 2.83109i 0.564405 + 0.436846i
\(43\) 0.0897814 1.54149i 0.0136915 0.235075i −0.984519 0.175278i \(-0.943918\pi\)
0.998211 0.0597969i \(-0.0190453\pi\)
\(44\) 6.12458 4.70922i 0.923316 0.709942i
\(45\) 5.55169 + 8.34633i 0.827598 + 1.24420i
\(46\) −5.57190 + 0.367979i −0.821532 + 0.0542555i
\(47\) −9.42770 2.23441i −1.37517 0.325922i −0.524407 0.851468i \(-0.675713\pi\)
−0.850765 + 0.525546i \(0.823861\pi\)
\(48\) 6.37408 + 2.71497i 0.920020 + 0.391872i
\(49\) −0.199686 3.42848i −0.0285266 0.489783i
\(50\) 3.97315 + 7.76028i 0.561888 + 1.09747i
\(51\) −0.512627 + 6.03970i −0.0717822 + 0.845727i
\(52\) −0.404129 0.594133i −0.0560427 0.0823915i
\(53\) 5.46674 + 9.46867i 0.750915 + 1.30062i 0.947380 + 0.320111i \(0.103720\pi\)
−0.196465 + 0.980511i \(0.562946\pi\)
\(54\) 0.754197 + 7.30966i 0.102633 + 0.994719i
\(55\) 11.1780 + 6.45365i 1.50725 + 0.870210i
\(56\) 1.65062 + 5.07948i 0.220573 + 0.678774i
\(57\) −0.953266 10.5798i −0.126263 1.40133i
\(58\) 2.41396 3.73310i 0.316969 0.490180i
\(59\) 2.69050 5.35723i 0.350274 0.697452i −0.647645 0.761943i \(-0.724246\pi\)
0.997918 + 0.0644903i \(0.0205422\pi\)
\(60\) −0.126844 + 11.5741i −0.0163754 + 1.49421i
\(61\) −8.17064 + 2.44613i −1.04614 + 0.313195i −0.763350 0.645986i \(-0.776447\pi\)
−0.282794 + 0.959181i \(0.591261\pi\)
\(62\) −9.36229 4.61119i −1.18901 0.585622i
\(63\) −3.86609 + 4.14062i −0.487081 + 0.521670i
\(64\) 4.31847 + 6.73430i 0.539808 + 0.841788i
\(65\) 0.659669 1.00298i 0.0818219 0.124404i
\(66\) 5.05055 + 8.00143i 0.621680 + 0.984909i
\(67\) 3.47825 + 0.406549i 0.424936 + 0.0496679i 0.325873 0.945413i \(-0.394342\pi\)
0.0990622 + 0.995081i \(0.468416\pi\)
\(68\) −4.41511 + 5.43089i −0.535410 + 0.658592i
\(69\) 0.181184 6.83662i 0.0218119 0.823033i
\(70\) −6.79067 + 5.78854i −0.811641 + 0.691863i
\(71\) −7.42810 2.70361i −0.881553 0.320859i −0.138717 0.990332i \(-0.544298\pi\)
−0.742837 + 0.669473i \(0.766520\pi\)
\(72\) −4.03158 + 7.46635i −0.475126 + 0.879918i
\(73\) 15.3949 5.60329i 1.80184 0.655815i 0.803685 0.595055i \(-0.202870\pi\)
0.998152 0.0607600i \(-0.0193524\pi\)
\(74\) −7.10270 + 12.5260i −0.825672 + 1.45611i
\(75\) −9.91297 + 3.96796i −1.14465 + 0.458181i
\(76\) 5.96723 10.7167i 0.684488 1.22929i
\(77\) −2.09203 + 6.98787i −0.238409 + 0.796342i
\(78\) 0.770244 0.425672i 0.0872130 0.0481978i
\(79\) 7.12987 5.30800i 0.802174 0.597196i −0.116057 0.993243i \(-0.537025\pi\)
0.918230 + 0.396046i \(0.129618\pi\)
\(80\) −7.64437 + 10.9635i −0.854666 + 1.22576i
\(81\) −8.99952 + 0.0933504i −0.999946 + 0.0103723i
\(82\) 8.55895 2.09886i 0.945178 0.231781i
\(83\) 2.75125 2.04823i 0.301988 0.224822i −0.435489 0.900194i \(-0.643424\pi\)
0.737477 + 0.675372i \(0.236017\pi\)
\(84\) −6.38112 + 1.43868i −0.696237 + 0.156973i
\(85\) −11.2021 3.35368i −1.21504 0.363758i
\(86\) 1.59995 + 1.48615i 0.172527 + 0.160256i
\(87\) 4.27966 + 3.36592i 0.458828 + 0.360864i
\(88\) −0.380933 + 10.9192i −0.0406076 + 1.16399i
\(89\) −4.05959 11.1536i −0.430316 1.18228i −0.945619 0.325276i \(-0.894543\pi\)
0.515303 0.857008i \(-0.327679\pi\)
\(90\) −14.1005 1.46322i −1.48632 0.154237i
\(91\) 0.637509 + 0.232034i 0.0668291 + 0.0243238i
\(92\) 4.61679 6.40689i 0.481334 0.667964i
\(93\) 6.68189 10.8961i 0.692880 1.12988i
\(94\) 10.9269 8.26748i 1.12702 0.852725i
\(95\) 20.3541 + 2.37905i 2.08828 + 0.244085i
\(96\) −8.70082 + 4.50508i −0.888024 + 0.459798i
\(97\) 10.8409 + 7.13016i 1.10073 + 0.723959i 0.963801 0.266623i \(-0.0859078\pi\)
0.136925 + 0.990581i \(0.456278\pi\)
\(98\) 3.91818 + 2.86994i 0.395796 + 0.289908i
\(99\) −10.3289 + 5.25461i −1.03809 + 0.528108i
\(100\) −12.0398 2.65664i −1.20398 0.265664i
\(101\) −2.44893 8.17999i −0.243678 0.813940i −0.989087 0.147333i \(-0.952931\pi\)
0.745409 0.666607i \(-0.232254\pi\)
\(102\) −6.12390 5.99829i −0.606356 0.593919i
\(103\) −0.542162 + 1.07953i −0.0534208 + 0.106370i −0.918759 0.394819i \(-0.870807\pi\)
0.865338 + 0.501188i \(0.167104\pi\)
\(104\) 1.01179 + 0.0944195i 0.0992140 + 0.00925859i
\(105\) −6.29148 8.93576i −0.613986 0.872041i
\(106\) −15.2478 2.56662i −1.48099 0.249293i
\(107\) −2.71062 1.56498i −0.262046 0.151292i 0.363222 0.931703i \(-0.381677\pi\)
−0.625267 + 0.780411i \(0.715010\pi\)
\(108\) −8.64953 5.76069i −0.832302 0.554323i
\(109\) −5.35044 + 3.08908i −0.512479 + 0.295880i −0.733852 0.679309i \(-0.762279\pi\)
0.221373 + 0.975189i \(0.428946\pi\)
\(110\) −17.1038 + 6.37618i −1.63079 + 0.607945i
\(111\) −14.4726 10.0780i −1.37368 0.956560i
\(112\) −7.02510 2.77476i −0.663810 0.262190i
\(113\) 2.46265 0.143433i 0.231667 0.0134931i 0.0580813 0.998312i \(-0.481502\pi\)
0.173585 + 0.984819i \(0.444465\pi\)
\(114\) 12.3945 + 8.48872i 1.16085 + 0.795042i
\(115\) 12.8378 + 3.04261i 1.19713 + 0.283725i
\(116\) 1.89649 + 5.99415i 0.176085 + 0.556543i
\(117\) 0.432032 + 0.987450i 0.0399414 + 0.0912898i
\(118\) 3.41836 + 7.75837i 0.314686 + 0.714216i
\(119\) 0.384236 6.59707i 0.0352228 0.604753i
\(120\) −12.5060 10.5619i −1.14163 0.964168i
\(121\) −2.34196 + 3.14579i −0.212905 + 0.285981i
\(122\) 4.69124 11.1121i 0.424725 1.00604i
\(123\) 1.59195 + 10.6751i 0.143542 + 0.962538i
\(124\) 13.4596 6.05562i 1.20871 0.543811i
\(125\) −0.675803 3.83267i −0.0604457 0.342805i
\(126\) −1.03307 7.94453i −0.0920333 0.707755i
\(127\) −14.2571 2.51391i −1.26511 0.223073i −0.499464 0.866335i \(-0.666470\pi\)
−0.765647 + 0.643261i \(0.777581\pi\)
\(128\) −11.2321 1.35612i −0.992790 0.119865i
\(129\) −1.99327 + 1.78314i −0.175498 + 0.156997i
\(130\) 0.499532 + 1.62257i 0.0438119 + 0.142309i
\(131\) 1.59631 + 6.73536i 0.139470 + 0.588471i 0.997227 + 0.0744159i \(0.0237092\pi\)
−0.857757 + 0.514055i \(0.828143\pi\)
\(132\) −13.2731 1.69904i −1.15528 0.147883i
\(133\) 1.34447 + 11.5027i 0.116581 + 0.997411i
\(134\) −3.57579 + 3.42647i −0.308901 + 0.296002i
\(135\) 3.37857 17.0304i 0.290781 1.46574i
\(136\) −1.94550 9.70517i −0.166826 0.832212i
\(137\) −11.5792 4.99477i −0.989276 0.426732i −0.160941 0.986964i \(-0.551453\pi\)
−0.828336 + 0.560232i \(0.810712\pi\)
\(138\) 7.29134 + 6.35459i 0.620680 + 0.540939i
\(139\) −12.2238 12.9565i −1.03681 1.09895i −0.995005 0.0998266i \(-0.968171\pi\)
−0.0418033 0.999126i \(-0.513310\pi\)
\(140\) −0.196053 12.6175i −0.0165695 1.06638i
\(141\) 8.84696 + 14.2602i 0.745048 + 1.20093i
\(142\) 9.63767 5.66459i 0.808776 0.475362i
\(143\) 1.06315 + 0.892085i 0.0889047 + 0.0745999i
\(144\) −4.51033 11.1201i −0.375861 0.926676i
\(145\) −8.04623 + 6.75159i −0.668203 + 0.560689i
\(146\) −7.75487 + 21.8326i −0.641798 + 1.80688i
\(147\) −3.94291 + 4.45382i −0.325206 + 0.367345i
\(148\) −7.26139 19.0255i −0.596882 1.56388i
\(149\) 3.03419 + 7.03404i 0.248570 + 0.576251i 0.996125 0.0879494i \(-0.0280314\pi\)
−0.747554 + 0.664201i \(0.768772\pi\)
\(150\) 4.60099 14.3824i 0.375669 1.17432i
\(151\) 1.60563 + 3.19708i 0.130664 + 0.260174i 0.949446 0.313931i \(-0.101646\pi\)
−0.818781 + 0.574106i \(0.805350\pi\)
\(152\) 6.31119 + 16.1579i 0.511905 + 1.31058i
\(153\) 8.00735 6.79004i 0.647356 0.548942i
\(154\) −5.73536 8.57435i −0.462168 0.690941i
\(155\) 17.9354 + 16.9212i 1.44061 + 1.35914i
\(156\) −0.229535 + 1.22322i −0.0183775 + 0.0979357i
\(157\) 2.12311 + 3.22804i 0.169443 + 0.257626i 0.910220 0.414126i \(-0.135913\pi\)
−0.740777 + 0.671751i \(0.765542\pi\)
\(158\) −0.633405 + 12.5546i −0.0503910 + 0.998792i
\(159\) 4.85390 18.3047i 0.384939 1.45166i
\(160\) −5.06994 18.2090i −0.400814 1.43955i
\(161\) 7.45601i 0.587616i
\(162\) 8.00314 9.89696i 0.628786 0.777579i
\(163\) −4.41560 −0.345856 −0.172928 0.984934i \(-0.555323\pi\)
−0.172928 + 0.984934i \(0.555323\pi\)
\(164\) −5.41960 + 11.2227i −0.423199 + 0.876349i
\(165\) −5.84216 21.5792i −0.454811 1.67994i
\(166\) −0.244416 + 4.84453i −0.0189703 + 0.376008i
\(167\) 8.75537 5.75850i 0.677511 0.445606i −0.163558 0.986534i \(-0.552297\pi\)
0.841069 + 0.540928i \(0.181927\pi\)
\(168\) 4.17810 8.25352i 0.322347 0.636773i
\(169\) −8.83256 + 9.36197i −0.679428 + 0.720151i
\(170\) 13.7453 9.19420i 1.05422 0.705163i
\(171\) −11.7534 + 14.1556i −0.898806 + 1.08251i
\(172\) −3.06138 + 0.406130i −0.233428 + 0.0309671i
\(173\) 7.11516 3.57337i 0.540956 0.271678i −0.157270 0.987556i \(-0.550269\pi\)
0.698226 + 0.715877i \(0.253973\pi\)
\(174\) −7.52437 + 1.63512i −0.570421 + 0.123958i
\(175\) 10.6889 4.61073i 0.808003 0.348539i
\(176\) −11.5630 10.2492i −0.871597 0.772560i
\(177\) −9.84792 + 3.29161i −0.740215 + 0.247413i
\(178\) 15.8178 + 5.61842i 1.18559 + 0.421119i
\(179\) −7.22510 8.61054i −0.540029 0.643582i 0.425165 0.905116i \(-0.360216\pi\)
−0.965194 + 0.261534i \(0.915772\pi\)
\(180\) 14.2943 14.0571i 1.06544 1.04776i
\(181\) 12.0375 14.3457i 0.894737 1.06631i −0.102697 0.994713i \(-0.532747\pi\)
0.997434 0.0715934i \(-0.0228084\pi\)
\(182\) −0.827143 + 0.486158i −0.0613119 + 0.0360364i
\(183\) 13.0210 + 6.97733i 0.962538 + 0.515779i
\(184\) 2.82807 + 10.8041i 0.208488 + 0.796487i
\(185\) 24.7467 23.3473i 1.81941 1.71652i
\(186\) 5.86324 + 17.0988i 0.429913 + 1.25375i
\(187\) 5.35436 12.4128i 0.391549 0.907713i
\(188\) −0.826030 + 19.3601i −0.0602445 + 1.41198i
\(189\) 9.80527 0.361666i 0.713229 0.0263073i
\(190\) −20.9249 + 20.0511i −1.51805 + 1.45466i
\(191\) −20.7577 + 2.42623i −1.50198 + 0.175556i −0.826966 0.562251i \(-0.809935\pi\)
−0.675011 + 0.737807i \(0.735861\pi\)
\(192\) 2.92367 13.5445i 0.210998 0.977487i
\(193\) −10.6507 + 2.52427i −0.766656 + 0.181701i −0.595295 0.803508i \(-0.702965\pi\)
−0.171361 + 0.985208i \(0.554816\pi\)
\(194\) −17.5378 + 5.39929i −1.25914 + 0.387646i
\(195\) −2.03522 + 0.425745i −0.145745 + 0.0304882i
\(196\) −6.65802 + 1.68765i −0.475573 + 0.120546i
\(197\) −0.780679 + 4.42745i −0.0556211 + 0.315443i −0.999906 0.0136853i \(-0.995644\pi\)
0.944285 + 0.329128i \(0.106755\pi\)
\(198\) 3.57262 15.9947i 0.253895 1.13669i
\(199\) −19.1767 + 3.38136i −1.35940 + 0.239698i −0.805356 0.592791i \(-0.798026\pi\)
−0.554041 + 0.832489i \(0.686915\pi\)
\(200\) 13.7398 10.7354i 0.971549 0.759111i
\(201\) −3.77437 4.74811i −0.266224 0.334906i
\(202\) 11.1248 + 4.69660i 0.782737 + 0.330452i
\(203\) −4.76133 3.54468i −0.334180 0.248788i
\(204\) 12.0556 1.27534i 0.844058 0.0892917i
\(205\) −20.7862 1.21066i −1.45177 0.0845560i
\(206\) −0.688832 1.56339i −0.0479932 0.108926i
\(207\) −8.57386 + 8.17348i −0.595924 + 0.568096i
\(208\) −1.01417 + 1.01820i −0.0703197 + 0.0705994i
\(209\) −5.46354 + 23.0525i −0.377921 + 1.59457i
\(210\) 15.4095 + 1.18740i 1.06335 + 0.0819387i
\(211\) 0.343375 + 5.89553i 0.0236389 + 0.405865i 0.989284 + 0.146001i \(0.0466404\pi\)
−0.965645 + 0.259863i \(0.916323\pi\)
\(212\) 16.5307 14.3144i 1.13533 0.983115i
\(213\) 5.81846 + 12.3937i 0.398674 + 0.849203i
\(214\) 4.14759 1.54619i 0.283524 0.105696i
\(215\) −2.57970 4.46817i −0.175934 0.304727i
\(216\) 14.0711 4.24322i 0.957415 0.288715i
\(217\) −6.96744 + 12.0680i −0.472980 + 0.819226i
\(218\) 1.45031 8.61601i 0.0982277 0.583550i
\(219\) −25.7484 11.9255i −1.73992 0.805851i
\(220\) 8.45117 24.3920i 0.569778 1.64451i
\(221\) −1.12357 0.564278i −0.0755795 0.0379574i
\(222\) 24.0228 6.70442i 1.61230 0.449971i
\(223\) −24.4351 + 7.31539i −1.63630 + 0.489875i −0.967352 0.253438i \(-0.918439\pi\)
−0.668944 + 0.743313i \(0.733253\pi\)
\(224\) 9.35232 5.16109i 0.624878 0.344840i
\(225\) 17.0194 + 7.23701i 1.13463 + 0.482467i
\(226\) −2.06146 + 2.81440i −0.137126 + 0.187211i
\(227\) 6.76517 10.2859i 0.449020 0.682702i −0.538064 0.842904i \(-0.680844\pi\)
0.987084 + 0.160202i \(0.0512146\pi\)
\(228\) −20.4184 + 5.86984i −1.35224 + 0.388739i
\(229\) −0.283576 + 2.42615i −0.0187392 + 0.160324i −0.999368 0.0355520i \(-0.988681\pi\)
0.980629 + 0.195876i \(0.0627551\pi\)
\(230\) −14.8793 + 11.2579i −0.981110 + 0.742324i
\(231\) 11.1050 6.02497i 0.730654 0.396414i
\(232\) −8.24387 3.33041i −0.541236 0.218652i
\(233\) −1.57538 + 4.32833i −0.103207 + 0.283558i −0.980539 0.196326i \(-0.937099\pi\)
0.877332 + 0.479884i \(0.159321\pi\)
\(234\) −1.46578 0.418214i −0.0958211 0.0273395i
\(235\) −30.4217 + 11.0726i −1.98449 + 0.722296i
\(236\) −11.5381 3.25984i −0.751068 0.212198i
\(237\) −15.2390 2.19183i −0.989876 0.142375i
\(238\) 6.84727 + 6.36026i 0.443843 + 0.412274i
\(239\) −2.78142 + 9.29059i −0.179915 + 0.600958i 0.819689 + 0.572809i \(0.194146\pi\)
−0.999604 + 0.0281489i \(0.991039\pi\)
\(240\) 22.7793 4.12423i 1.47040 0.266218i
\(241\) 8.26855 + 11.1066i 0.532624 + 0.715439i 0.984253 0.176768i \(-0.0565641\pi\)
−0.451628 + 0.892206i \(0.649157\pi\)
\(242\) −1.32095 5.38671i −0.0849141 0.346271i
\(243\) 11.1647 + 10.8789i 0.716215 + 0.697880i
\(244\) 7.89147 + 15.1227i 0.505200 + 0.968133i
\(245\) −6.85253 9.20454i −0.437792 0.588057i
\(246\) −13.0736 7.87809i −0.833541 0.502288i
\(247\) 2.11087 + 0.631954i 0.134312 + 0.0402102i
\(248\) −5.51872 + 20.1297i −0.350439 + 1.27824i
\(249\) −5.88034 0.845774i −0.372652 0.0535987i
\(250\) 4.78769 + 2.71480i 0.302800 + 0.171699i
\(251\) 4.98379 + 13.6929i 0.314574 + 0.864286i 0.991718 + 0.128435i \(0.0409954\pi\)
−0.677144 + 0.735851i \(0.736782\pi\)
\(252\) 9.59293 + 6.02837i 0.604298 + 0.379752i
\(253\) −5.21671 + 14.3328i −0.327971 + 0.901094i
\(254\) 15.5810 13.2816i 0.977637 0.833362i
\(255\) 9.65847 + 17.8021i 0.604837 + 1.11481i
\(256\) 11.5943 11.0260i 0.724644 0.689124i
\(257\) 3.21344 27.4927i 0.200449 1.71495i −0.401035 0.916063i \(-0.631349\pi\)
0.601484 0.798885i \(-0.294577\pi\)
\(258\) −0.149173 3.77931i −0.00928709 0.235290i
\(259\) 16.0638 + 10.5653i 0.998155 + 0.656497i
\(260\) −2.21909 0.916599i −0.137622 0.0568450i
\(261\) −1.14338 9.36094i −0.0707734 0.579428i
\(262\) −8.78173 4.32525i −0.542537 0.267215i
\(263\) 6.29825 + 21.0376i 0.388367 + 1.29724i 0.899193 + 0.437552i \(0.144154\pi\)
−0.510826 + 0.859684i \(0.670660\pi\)
\(264\) 13.8063 12.9426i 0.849719 0.796560i
\(265\) 32.6469 + 16.3959i 2.00548 + 1.00719i
\(266\) −13.7531 8.89330i −0.843259 0.545283i
\(267\) −8.64005 + 18.6548i −0.528763 + 1.14166i
\(268\) −0.515819 6.98483i −0.0315086 0.426667i
\(269\) 8.39301 14.5371i 0.511731 0.886343i −0.488177 0.872745i \(-0.662338\pi\)
0.999908 0.0135987i \(-0.00432872\pi\)
\(270\) 15.5268 + 19.0214i 0.944932 + 1.15760i
\(271\) −22.5096 + 12.9959i −1.36736 + 0.789446i −0.990590 0.136861i \(-0.956299\pi\)
−0.376770 + 0.926307i \(0.622965\pi\)
\(272\) 12.3344 + 6.61910i 0.747885 + 0.401342i
\(273\) −0.499363 1.06368i −0.0302228 0.0643767i
\(274\) 15.8744 8.12743i 0.959005 0.490996i
\(275\) 23.7733 1.38464i 1.43359 0.0834968i
\(276\) −13.4955 + 2.22741i −0.812332 + 0.134074i
\(277\) −3.71181 + 15.6614i −0.223021 + 0.941001i 0.740220 + 0.672364i \(0.234721\pi\)
−0.963242 + 0.268636i \(0.913427\pi\)
\(278\) 25.1361 1.66004i 1.50757 0.0995625i
\(279\) −21.5151 + 5.21718i −1.28808 + 0.312344i
\(280\) 13.9345 + 11.1495i 0.832744 + 0.666312i
\(281\) −13.1940 0.768465i −0.787090 0.0458428i −0.340109 0.940386i \(-0.610464\pi\)
−0.446981 + 0.894543i \(0.647501\pi\)
\(282\) −23.5166 3.19614i −1.40039 0.190328i
\(283\) −8.62299 + 11.5827i −0.512584 + 0.688520i −0.980783 0.195104i \(-0.937496\pi\)
0.468199 + 0.883623i \(0.344903\pi\)
\(284\) −2.50309 + 15.6102i −0.148531 + 0.926297i
\(285\) −22.0869 27.7851i −1.30832 1.64585i
\(286\) −1.93017 + 0.355824i −0.114134 + 0.0210403i
\(287\) −2.04329 11.5881i −0.120611 0.684022i
\(288\) 16.1871 + 5.09675i 0.953836 + 0.300329i
\(289\) 0.825363 4.68086i 0.0485507 0.275345i
\(290\) −0.115394 14.8539i −0.00677618 0.872250i
\(291\) −4.60175 21.9981i −0.269759 1.28955i
\(292\) −16.8218 28.1181i −0.984421 1.64549i
\(293\) −17.8304 + 4.22588i −1.04166 + 0.246878i −0.715629 0.698480i \(-0.753860\pi\)
−0.326032 + 0.945359i \(0.605712\pi\)
\(294\) −1.30538 8.31036i −0.0761314 0.484670i
\(295\) −2.32547 19.8957i −0.135394 1.15837i
\(296\) 27.2845 + 9.21658i 1.58588 + 0.535703i
\(297\) 19.1018 + 6.16516i 1.10840 + 0.357739i
\(298\) −10.4024 3.02641i −0.602592 0.175315i
\(299\) 1.30258 + 0.561880i 0.0753304 + 0.0324944i
\(300\) 11.5387 + 17.9696i 0.666186 + 1.03747i
\(301\) 2.12083 2.00090i 0.122243 0.115330i
\(302\) −4.93205 1.12852i −0.283808 0.0649393i
\(303\) −6.98531 + 13.0359i −0.401296 + 0.748891i
\(304\) −23.3021 7.67018i −1.33647 0.439915i
\(305\) −18.3184 + 21.8310i −1.04891 + 1.25004i
\(306\) 0.192338 + 14.8461i 0.0109952 + 0.848697i
\(307\) 11.7059 9.82239i 0.668089 0.560593i −0.244410 0.969672i \(-0.578594\pi\)
0.912499 + 0.409079i \(0.134150\pi\)
\(308\) 14.5145 + 1.46831i 0.827043 + 0.0836647i
\(309\) 1.98445 0.663291i 0.112891 0.0377333i
\(310\) −34.6031 + 4.31726i −1.96532 + 0.245204i
\(311\) 11.0028 + 25.5072i 0.623909 + 1.44638i 0.877741 + 0.479135i \(0.159050\pi\)
−0.253832 + 0.967248i \(0.581691\pi\)
\(312\) −1.12705 1.35190i −0.0638068 0.0765365i
\(313\) 15.8629 7.96666i 0.896625 0.450302i 0.0600759 0.998194i \(-0.480866\pi\)
0.836549 + 0.547892i \(0.184569\pi\)
\(314\) −5.43185 0.592157i −0.306537 0.0334174i
\(315\) −3.19020 + 18.6578i −0.179747 + 1.05125i
\(316\) −13.1189 11.9973i −0.737994 0.674901i
\(317\) 16.7927 17.7992i 0.943173 0.999705i −0.0568263 0.998384i \(-0.518098\pi\)
0.999999 0.00132067i \(-0.000420382\pi\)
\(318\) 15.5877 + 21.7777i 0.874114 + 1.22124i
\(319\) −6.67268 10.1453i −0.373598 0.568028i
\(320\) 24.4207 + 10.8708i 1.36516 + 0.607695i
\(321\) 1.41669 + 5.23286i 0.0790722 + 0.292070i
\(322\) −8.12988 6.71485i −0.453061 0.374204i
\(323\) 21.4628i 1.19422i
\(324\) 3.58385 + 17.6396i 0.199103 + 0.979979i
\(325\) 2.21484i 0.122857i
\(326\) 3.97667 4.81468i 0.220247 0.266660i
\(327\) 10.3434 + 2.74278i 0.571991 + 0.151676i
\(328\) −7.35618 16.0166i −0.406177 0.884367i
\(329\) −10.0536 15.2857i −0.554272 0.842730i
\(330\) 28.7910 + 13.0640i 1.58489 + 0.719150i
\(331\) 19.6391 20.8162i 1.07946 1.14416i 0.0905149 0.995895i \(-0.471149\pi\)
0.988947 0.148268i \(-0.0473698\pi\)
\(332\) −5.06225 4.62946i −0.277827 0.254075i
\(333\) 5.46022 + 30.0541i 0.299218 + 1.64696i
\(334\) −1.60610 + 14.7328i −0.0878819 + 0.806140i
\(335\) 10.4566 5.25150i 0.571305 0.286920i
\(336\) 5.23669 + 11.9888i 0.285685 + 0.654042i
\(337\) 5.32313 + 12.3404i 0.289969 + 0.672225i 0.999472 0.0324777i \(-0.0103398\pi\)
−0.709503 + 0.704702i \(0.751081\pi\)
\(338\) −2.25353 18.0622i −0.122576 0.982454i
\(339\) −3.19914 2.83216i −0.173754 0.153822i
\(340\) −2.35381 + 23.2679i −0.127653 + 1.26188i
\(341\) −21.8371 + 18.3235i −1.18255 + 0.992273i
\(342\) −4.84993 25.5642i −0.262254 1.38235i
\(343\) 12.6649 15.0935i 0.683843 0.814972i
\(344\) 2.31423 3.70382i 0.124775 0.199697i
\(345\) −12.0470 19.4183i −0.648588 1.04545i
\(346\) −2.51156 + 10.9764i −0.135022 + 0.590094i
\(347\) −6.92438 + 6.53282i −0.371720 + 0.350700i −0.849321 0.527877i \(-0.822988\pi\)
0.477600 + 0.878577i \(0.341507\pi\)
\(348\) 4.99351 9.67700i 0.267680 0.518742i
\(349\) 25.6660 + 11.0712i 1.37387 + 0.592630i 0.949759 0.312981i \(-0.101328\pi\)
0.424111 + 0.905610i \(0.360587\pi\)
\(350\) −4.59891 + 15.8073i −0.245822 + 0.844938i
\(351\) 0.675735 1.74026i 0.0360681 0.0928883i
\(352\) 21.5891 3.37774i 1.15070 0.180034i
\(353\) −0.121435 1.03895i −0.00646335 0.0552975i 0.989622 0.143697i \(-0.0458990\pi\)
−0.996085 + 0.0883992i \(0.971825\pi\)
\(354\) 5.27989 13.7024i 0.280623 0.728273i
\(355\) −25.7009 + 6.09123i −1.36406 + 0.323289i
\(356\) −20.3716 + 12.1874i −1.07969 + 0.645932i
\(357\) −8.53056 + 7.63129i −0.451485 + 0.403890i
\(358\) 15.8956 0.123487i 0.840111 0.00652650i
\(359\) −2.13892 + 12.1304i −0.112888 + 0.640219i 0.874886 + 0.484328i \(0.160936\pi\)
−0.987774 + 0.155891i \(0.950175\pi\)
\(360\) 2.45421 + 28.2460i 0.129348 + 1.48870i
\(361\) 3.23225 + 18.3310i 0.170119 + 0.964790i
\(362\) 4.80136 + 26.0451i 0.252354 + 1.36890i
\(363\) 6.71852 1.00192i 0.352631 0.0525872i
\(364\) 0.214825 1.33973i 0.0112599 0.0702210i
\(365\) 32.6893 43.9093i 1.71103 2.29832i
\(366\) −19.3346 + 7.91406i −1.01063 + 0.413674i
\(367\) 30.2256 + 1.76044i 1.57776 + 0.0918941i 0.824513 0.565842i \(-0.191449\pi\)
0.753248 + 0.657737i \(0.228486\pi\)
\(368\) −14.3275 6.64643i −0.746872 0.346469i
\(369\) 11.0855 15.0528i 0.577088 0.783616i
\(370\) 3.17065 + 48.0097i 0.164834 + 2.49590i
\(371\) −4.76125 + 20.0893i −0.247192 + 1.04298i
\(372\) −23.9246 9.00596i −1.24043 0.466937i
\(373\) 29.2207 1.70191i 1.51299 0.0881218i 0.718556 0.695469i \(-0.244803\pi\)
0.794436 + 0.607347i \(0.207766\pi\)
\(374\) 8.71255 + 17.0172i 0.450515 + 0.879938i
\(375\) −3.85203 + 5.53174i −0.198918 + 0.285658i
\(376\) −20.3660 18.3363i −1.05029 0.945624i
\(377\) −0.978075 + 0.564692i −0.0503734 + 0.0290831i
\(378\) −8.43623 + 11.0172i −0.433913 + 0.566663i
\(379\) −6.19182 + 10.7245i −0.318052 + 0.550883i −0.980082 0.198595i \(-0.936362\pi\)
0.662029 + 0.749478i \(0.269695\pi\)
\(380\) −3.01848 40.8740i −0.154845 2.09679i
\(381\) 14.4356 + 20.5028i 0.739558 + 1.05039i
\(382\) 16.0488 24.8189i 0.821129 1.26984i
\(383\) −16.3932 8.23297i −0.837652 0.420685i −0.0223710 0.999750i \(-0.507121\pi\)
−0.815281 + 0.579065i \(0.803418\pi\)
\(384\) 12.1355 + 15.3860i 0.619290 + 0.785163i
\(385\) 6.99024 + 23.3490i 0.356256 + 1.18998i
\(386\) 6.83958 13.8867i 0.348126 0.706813i
\(387\) 4.62580 + 0.245357i 0.235142 + 0.0124722i
\(388\) 9.90723 23.9855i 0.502964 1.21768i
\(389\) −4.46390 2.93595i −0.226329 0.148859i 0.431281 0.902218i \(-0.358062\pi\)
−0.657609 + 0.753359i \(0.728432\pi\)
\(390\) 1.36869 2.60259i 0.0693063 0.131787i
\(391\) 1.60418 13.7246i 0.0811268 0.694084i
\(392\) 4.15601 8.77966i 0.209910 0.443440i
\(393\) 6.26754 10.2205i 0.316156 0.515554i
\(394\) −4.12453 4.83858i −0.207791 0.243764i
\(395\) 10.1582 27.9094i 0.511114 1.40428i
\(396\) 14.2228 + 18.3002i 0.714721 + 0.919622i
\(397\) −6.56854 18.0469i −0.329665 0.905748i −0.988196 0.153194i \(-0.951044\pi\)
0.658531 0.752554i \(-0.271178\pi\)
\(398\) 13.5834 23.9551i 0.680877 1.20076i
\(399\) 12.4004 15.7667i 0.620797 0.789324i
\(400\) −0.668269 + 24.6499i −0.0334135 + 1.23249i
\(401\) −18.1182 5.42424i −0.904781 0.270874i −0.199580 0.979881i \(-0.563958\pi\)
−0.705201 + 0.709008i \(0.749143\pi\)
\(402\) 8.57643 + 0.160632i 0.427753 + 0.00801158i
\(403\) 1.58324 + 2.12666i 0.0788669 + 0.105937i
\(404\) −15.1400 + 7.90050i −0.753244 + 0.393065i
\(405\) −24.9523 + 16.7847i −1.23989 + 0.834039i
\(406\) 8.15308 1.99933i 0.404630 0.0992253i
\(407\) 23.4874 + 31.5491i 1.16423 + 1.56383i
\(408\) −9.46658 + 14.2937i −0.468666 + 0.707644i
\(409\) −10.1880 + 34.0304i −0.503766 + 1.68270i 0.206240 + 0.978502i \(0.433877\pi\)
−0.710006 + 0.704196i \(0.751308\pi\)
\(410\) 20.0400 21.5745i 0.989707 1.06549i
\(411\) 8.11683 + 20.2779i 0.400374 + 1.00023i
\(412\) 2.32504 + 0.656890i 0.114547 + 0.0323626i
\(413\) 10.6375 3.87174i 0.523438 0.190516i
\(414\) −1.19061 16.7098i −0.0585154 0.821240i
\(415\) 3.91980 10.7696i 0.192416 0.528657i
\(416\) −0.196871 2.02281i −0.00965240 0.0991765i
\(417\) −0.817361 + 30.8416i −0.0400264 + 1.51032i
\(418\) −20.2155 26.7183i −0.988773 1.30683i
\(419\) 4.54838 38.9139i 0.222203 1.90107i −0.177011 0.984209i \(-0.556643\pi\)
0.399214 0.916858i \(-0.369283\pi\)
\(420\) −15.1724 + 15.7328i −0.740338 + 0.767681i
\(421\) −2.33002 + 3.54263i −0.113558 + 0.172657i −0.887795 0.460239i \(-0.847764\pi\)
0.774237 + 0.632896i \(0.218134\pi\)
\(422\) −6.73760 4.93508i −0.327981 0.240236i
\(423\) 6.55645 28.3175i 0.318785 1.37684i
\(424\) 0.720643 + 30.9162i 0.0349975 + 1.50142i
\(425\) −20.6675 + 6.18745i −1.00252 + 0.300135i
\(426\) −18.7539 4.81740i −0.908631 0.233404i
\(427\) −14.3922 7.22804i −0.696488 0.349789i
\(428\) −2.04937 + 5.91494i −0.0990598 + 0.285910i
\(429\) −0.215714 2.39411i −0.0104148 0.115589i
\(430\) 7.19527 + 1.21116i 0.346987 + 0.0584075i
\(431\) −2.19710 + 3.80549i −0.105831 + 0.183304i −0.914077 0.405540i \(-0.867083\pi\)
0.808247 + 0.588844i \(0.200417\pi\)
\(432\) −8.04562 + 19.1642i −0.387095 + 0.922040i
\(433\) −14.5527 25.2061i −0.699360 1.21133i −0.968689 0.248279i \(-0.920135\pi\)
0.269328 0.963048i \(-0.413198\pi\)
\(434\) −6.88381 18.4655i −0.330433 0.886372i
\(435\) 18.1276 + 1.53860i 0.869152 + 0.0737704i
\(436\) 8.08858 + 9.34094i 0.387373 + 0.447350i
\(437\) 1.40805 + 24.1753i 0.0673562 + 1.15646i
\(438\) 36.1923 17.3355i 1.72933 0.828323i
\(439\) −1.04629 + 4.41463i −0.0499365 + 0.210699i −0.992293 0.123911i \(-0.960456\pi\)
0.942357 + 0.334610i \(0.108604\pi\)
\(440\) 18.9855 + 31.1823i 0.905097 + 1.48656i
\(441\) 10.2822 0.652393i 0.489628 0.0310663i
\(442\) 1.62716 0.716931i 0.0773961 0.0341009i
\(443\) 3.27835 + 0.190942i 0.155759 + 0.00907194i 0.135847 0.990730i \(-0.456624\pi\)
0.0199120 + 0.999802i \(0.493661\pi\)
\(444\) −14.3244 + 32.2319i −0.679808 + 1.52966i
\(445\) −31.8124 23.6834i −1.50805 1.12270i
\(446\) 14.0296 33.2317i 0.664321 1.57357i
\(447\) 4.86681 12.3437i 0.230192 0.583836i
\(448\) −2.79511 + 14.8456i −0.132057 + 0.701390i
\(449\) −21.0782 + 3.71666i −0.994744 + 0.175400i −0.647246 0.762281i \(-0.724080\pi\)
−0.347497 + 0.937681i \(0.612968\pi\)
\(450\) −23.2187 + 12.0400i −1.09454 + 0.567572i
\(451\) 4.17992 23.7055i 0.196825 1.11625i
\(452\) −1.21223 4.78241i −0.0570183 0.224945i
\(453\) 1.93385 5.88713i 0.0908604 0.276601i
\(454\) 5.12290 + 16.6401i 0.240429 + 0.780957i
\(455\) 2.20576 0.522774i 0.103407 0.0245080i
\(456\) 11.9884 27.5501i 0.561407 1.29015i
\(457\) −31.8363 + 3.72113i −1.48924 + 0.174067i −0.821448 0.570283i \(-0.806834\pi\)
−0.667790 + 0.744350i \(0.732759\pi\)
\(458\) −2.39003 2.49418i −0.111679 0.116546i
\(459\) −18.1268 1.44389i −0.846088 0.0673951i
\(460\) 1.12481 26.3629i 0.0524447 1.22918i
\(461\) −11.4913 + 26.6399i −0.535204 + 1.24074i 0.409347 + 0.912379i \(0.365756\pi\)
−0.944551 + 0.328364i \(0.893503\pi\)
\(462\) −3.43159 + 17.5347i −0.159652 + 0.815788i
\(463\) 14.4760 13.6574i 0.672757 0.634713i −0.272073 0.962277i \(-0.587709\pi\)
0.944829 + 0.327564i \(0.106228\pi\)
\(464\) 11.0558 5.98959i 0.513253 0.278060i
\(465\) −1.35286 42.6871i −0.0627375 1.97957i
\(466\) −3.30074 5.61584i −0.152904 0.260149i
\(467\) −4.05064 + 4.82737i −0.187441 + 0.223384i −0.851579 0.524227i \(-0.824355\pi\)
0.664137 + 0.747610i \(0.268799\pi\)
\(468\) 1.77609 1.22162i 0.0820997 0.0564692i
\(469\) 4.25057 + 5.06564i 0.196273 + 0.233909i
\(470\) 15.3243 43.1431i 0.706857 1.99004i
\(471\) 1.33625 6.55728i 0.0615712 0.302144i
\(472\) 13.9457 9.64514i 0.641901 0.443953i
\(473\) 5.47686 2.36249i 0.251826 0.108627i
\(474\) 16.1141 14.6423i 0.740143 0.672543i
\(475\) 33.7868 16.9684i 1.55024 0.778562i
\(476\) −13.1017 + 1.73810i −0.600516 + 0.0796659i
\(477\) −28.3206 + 16.5473i −1.29671 + 0.757650i
\(478\) −7.62533 11.3999i −0.348775 0.521418i
\(479\) −16.8995 + 17.9125i −0.772160 + 0.818442i −0.987421 0.158115i \(-0.949458\pi\)
0.215261 + 0.976557i \(0.430940\pi\)
\(480\) −16.0180 + 28.5524i −0.731118 + 1.30323i
\(481\) 3.05634 2.01019i 0.139357 0.0916568i
\(482\) −19.5570 0.986689i −0.890798 0.0449425i
\(483\) 9.10800 9.15536i 0.414428 0.416583i
\(484\) 7.06320 + 3.41091i 0.321055 + 0.155041i
\(485\) 43.3560 1.96869
\(486\) −21.9170 + 2.37629i −0.994174 + 0.107791i
\(487\) 15.7224i 0.712450i −0.934400 0.356225i \(-0.884064\pi\)
0.934400 0.356225i \(-0.115936\pi\)
\(488\) −23.5965 5.01475i −1.06816 0.227007i
\(489\) 5.42199 + 5.39394i 0.245191 + 0.243922i
\(490\) 16.2078 + 0.817715i 0.732194 + 0.0369406i
\(491\) 15.7305 + 23.9170i 0.709907 + 1.07936i 0.992750 + 0.120195i \(0.0383520\pi\)
−0.282843 + 0.959166i \(0.591278\pi\)
\(492\) 20.3641 7.16020i 0.918085 0.322807i
\(493\) 8.00175 + 7.54927i 0.360381 + 0.340002i
\(494\) −2.59011 + 1.73252i −0.116535 + 0.0779496i
\(495\) −19.1868 + 33.6341i −0.862381 + 1.51174i
\(496\) −16.9789 24.1462i −0.762376 1.08420i
\(497\) −6.69911 13.3390i −0.300496 0.598337i
\(498\) 6.21802 5.65010i 0.278636 0.253187i
\(499\) −13.2276 30.6651i −0.592150 1.37276i −0.905997 0.423284i \(-0.860877\pi\)
0.313847 0.949474i \(-0.398382\pi\)
\(500\) −7.27194 + 2.77546i −0.325211 + 0.124122i
\(501\) −17.7852 3.62430i −0.794586 0.161922i
\(502\) −19.4188 6.89751i −0.866704 0.307851i
\(503\) 16.0678 13.4825i 0.716429 0.601155i −0.209966 0.977709i \(-0.567335\pi\)
0.926395 + 0.376553i \(0.122891\pi\)
\(504\) −15.2126 + 5.03081i −0.677621 + 0.224090i
\(505\) −21.8560 18.3393i −0.972578 0.816090i
\(506\) −10.9300 18.5962i −0.485899 0.826703i
\(507\) 22.2819 0.706170i 0.989574 0.0313621i
\(508\) 0.449838 + 28.9505i 0.0199583 + 1.28447i
\(509\) −5.28831 5.60528i −0.234400 0.248450i 0.599487 0.800384i \(-0.295371\pi\)
−0.833887 + 0.551935i \(0.813890\pi\)
\(510\) −28.1094 5.50109i −1.24471 0.243592i
\(511\) 28.4059 + 12.2531i 1.25660 + 0.542046i
\(512\) 1.58073 + 22.5721i 0.0698592 + 0.997557i
\(513\) 31.7242 3.02437i 1.40066 0.133529i
\(514\) 27.0835 + 28.2637i 1.19460 + 1.24666i
\(515\) 0.468605 + 4.00917i 0.0206492 + 0.176665i
\(516\) 4.25523 + 3.24098i 0.187326 + 0.142676i
\(517\) −8.63124 36.4181i −0.379602 1.60167i
\(518\) −25.9872 + 8.00054i −1.14181 + 0.351524i
\(519\) −13.1019 4.30383i −0.575111 0.188917i
\(520\) 2.99794 1.59417i 0.131469 0.0699089i
\(521\) 24.9147 + 4.39314i 1.09153 + 0.192467i 0.690310 0.723513i \(-0.257474\pi\)
0.401223 + 0.915980i \(0.368585\pi\)
\(522\) 11.2367 + 7.18371i 0.491817 + 0.314422i
\(523\) −0.0744076 0.421987i −0.00325362 0.0184522i 0.983138 0.182867i \(-0.0585377\pi\)
−0.986391 + 0.164414i \(0.947427\pi\)
\(524\) 12.6250 5.68011i 0.551524 0.248137i
\(525\) −18.7574 7.39556i −0.818638 0.322769i
\(526\) −28.6112 12.0789i −1.24751 0.526666i
\(527\) 15.4217 20.7150i 0.671781 0.902359i
\(528\) 1.67842 + 26.7101i 0.0730438 + 1.16241i
\(529\) 0.430809 7.39671i 0.0187308 0.321596i
\(530\) −47.2794 + 20.8314i −2.05368 + 0.904860i
\(531\) 16.1133 + 7.98805i 0.699259 + 0.346652i
\(532\) 22.0831 6.98688i 0.957424 0.302920i
\(533\) −2.17845 0.516301i −0.0943589 0.0223635i
\(534\) −12.5596 26.2214i −0.543508 1.13471i
\(535\) −10.4406 + 0.608098i −0.451388 + 0.0262904i
\(536\) 8.08066 + 5.72807i 0.349032 + 0.247415i
\(537\) −1.64651 + 19.3989i −0.0710522 + 0.837126i
\(538\) 8.29226 + 22.2436i 0.357505 + 0.958991i
\(539\) 11.4889 6.63312i 0.494862 0.285709i
\(540\) −34.7239 0.200448i −1.49428 0.00862592i
\(541\) 7.81139 + 4.50991i 0.335838 + 0.193896i 0.658430 0.752642i \(-0.271221\pi\)
−0.322592 + 0.946538i \(0.604554\pi\)
\(542\) 6.10156 36.2481i 0.262084 1.55699i
\(543\) −32.3052 + 2.91077i −1.38635 + 0.124913i
\(544\) −18.3257 + 7.48808i −0.785707 + 0.321049i
\(545\) −9.26477 + 18.4477i −0.396859 + 0.790212i
\(546\) 1.60954 + 0.413448i 0.0688818 + 0.0176939i
\(547\) −5.73713 19.1633i −0.245302 0.819366i −0.988621 0.150428i \(-0.951935\pi\)
0.743319 0.668937i \(-0.233251\pi\)
\(548\) −5.43439 + 24.6286i −0.232146 + 1.05208i
\(549\) −7.46542 24.4735i −0.318616 1.04451i
\(550\) −19.9004 + 27.1689i −0.848555 + 1.15849i
\(551\) −16.1075 10.5941i −0.686202 0.451322i
\(552\) 9.72524 16.7212i 0.413934 0.711701i
\(553\) 16.6712 + 1.94859i 0.708932 + 0.0828623i
\(554\) −13.7340 18.1518i −0.583502 0.771198i
\(555\) −58.9070 1.56115i −2.50046 0.0662671i
\(556\) −20.8274 + 28.9030i −0.883280 + 1.22576i
\(557\) −32.6685 11.8904i −1.38421 0.503811i −0.460758 0.887526i \(-0.652423\pi\)
−0.923452 + 0.383714i \(0.874645\pi\)
\(558\) 13.6877 28.1582i 0.579448 1.19203i
\(559\) −0.189738 0.521301i −0.00802507 0.0220487i
\(560\) −24.7065 + 5.15265i −1.04404 + 0.217739i
\(561\) −21.7377 + 8.70118i −0.917768 + 0.367364i
\(562\) 12.7204 13.6944i 0.536578 0.577664i
\(563\) 5.15086 + 1.54207i 0.217083 + 0.0649904i 0.393498 0.919326i \(-0.371265\pi\)
−0.176415 + 0.984316i \(0.556450\pi\)
\(564\) 24.6639 22.7636i 1.03854 0.958519i
\(565\) 6.61155 4.92212i 0.278150 0.207075i
\(566\) −4.86370 19.8337i −0.204436 0.833671i
\(567\) −12.4819 11.5337i −0.524189 0.484369i
\(568\) −14.7668 16.7878i −0.619601 0.704402i
\(569\) 5.05378 3.76240i 0.211866 0.157728i −0.485995 0.873961i \(-0.661543\pi\)
0.697861 + 0.716233i \(0.254135\pi\)
\(570\) 50.1877 + 0.939987i 2.10213 + 0.0393717i
\(571\) −0.905551 + 3.02475i −0.0378961 + 0.126582i −0.974845 0.222886i \(-0.928452\pi\)
0.936948 + 0.349468i \(0.113638\pi\)
\(572\) 1.35032 2.42508i 0.0564599 0.101398i
\(573\) 28.4526 + 22.3777i 1.18862 + 0.934843i
\(574\) 14.4756 + 8.20820i 0.604198 + 0.342604i
\(575\) 22.8735 8.32529i 0.953893 0.347189i
\(576\) −20.1354 + 13.0600i −0.838977 + 0.544167i
\(577\) −14.7181 5.35696i −0.612724 0.223013i 0.0169706 0.999856i \(-0.494598\pi\)
−0.629695 + 0.776843i \(0.716820\pi\)
\(578\) 4.36060 + 5.11552i 0.181377 + 0.212778i
\(579\) 16.1618 + 9.91096i 0.671660 + 0.411885i
\(580\) 16.3003 + 13.2515i 0.676833 + 0.550240i
\(581\) 6.43302 + 0.751912i 0.266887 + 0.0311946i
\(582\) 28.1306 + 14.7937i 1.16605 + 0.613220i
\(583\) −23.2084 + 35.2866i −0.961192 + 1.46142i
\(584\) 45.8090 + 6.98088i 1.89559 + 0.288871i
\(585\) 3.01916 + 1.96338i 0.124827 + 0.0811756i
\(586\) 11.4501 23.2477i 0.473001 0.960353i
\(587\) 11.7213 3.50913i 0.483790 0.144837i −0.0356148 0.999366i \(-0.511339\pi\)
0.519405 + 0.854528i \(0.326154\pi\)
\(588\) 10.2371 + 6.06091i 0.422169 + 0.249948i
\(589\) −20.3121 + 40.4448i −0.836947 + 1.66650i
\(590\) 23.7882 + 15.3823i 0.979343 + 0.633280i
\(591\) 6.36703 4.48289i 0.261904 0.184401i
\(592\) −34.6219 + 21.4501i −1.42295 + 0.881593i
\(593\) −18.9800 10.9581i −0.779414 0.449995i 0.0568089 0.998385i \(-0.481907\pi\)
−0.836222 + 0.548390i \(0.815241\pi\)
\(594\) −23.9254 + 15.2759i −0.981671 + 0.626779i
\(595\) −11.0403 19.1224i −0.452608 0.783940i
\(596\) 12.6682 8.61694i 0.518912 0.352964i
\(597\) 27.6779 + 19.2735i 1.13278 + 0.788812i
\(598\) −1.78576 + 0.914285i −0.0730253 + 0.0373879i
\(599\) −0.0952808 1.63591i −0.00389307 0.0668414i 0.995802 0.0915329i \(-0.0291767\pi\)
−0.999695 + 0.0246915i \(0.992140\pi\)
\(600\) −29.9853 3.60179i −1.22415 0.147043i
\(601\) −16.3286 3.86996i −0.666059 0.157859i −0.116341 0.993209i \(-0.537117\pi\)
−0.549718 + 0.835351i \(0.685265\pi\)
\(602\) 0.271730 + 4.11451i 0.0110749 + 0.167695i
\(603\) −1.16551 + 10.4409i −0.0474634 + 0.425188i
\(604\) 5.67230 4.36146i 0.230803 0.177465i
\(605\) −0.761946 + 13.0821i −0.0309775 + 0.531864i
\(606\) −7.92311 19.3567i −0.321854 0.786312i
\(607\) −5.28961 3.93797i −0.214699 0.159837i 0.484437 0.874826i \(-0.339024\pi\)
−0.699136 + 0.714989i \(0.746432\pi\)
\(608\) 29.3492 18.5004i 1.19027 0.750291i
\(609\) 1.51646 + 10.1688i 0.0614501 + 0.412062i
\(610\) −7.30662 39.6349i −0.295836 1.60477i
\(611\) −3.42809 + 0.604464i −0.138686 + 0.0244540i
\(612\) −16.3611 13.1606i −0.661360 0.531987i
\(613\) 4.48564 + 0.790939i 0.181173 + 0.0319457i 0.263499 0.964660i \(-0.415124\pi\)
−0.0823253 + 0.996606i \(0.526235\pi\)
\(614\) 0.167879 + 21.6098i 0.00677503 + 0.872102i
\(615\) 24.0448 + 26.8783i 0.969581 + 1.08384i
\(616\) −14.6727 + 14.5040i −0.591182 + 0.584383i
\(617\) 3.17167 + 13.3823i 0.127686 + 0.538751i 0.998858 + 0.0477731i \(0.0152124\pi\)
−0.871172 + 0.490978i \(0.836639\pi\)
\(618\) −1.06395 + 2.76116i −0.0427983 + 0.111070i
\(619\) −37.5255 + 4.38611i −1.50828 + 0.176293i −0.829689 0.558225i \(-0.811483\pi\)
−0.678589 + 0.734518i \(0.737408\pi\)
\(620\) 26.4559 41.6186i 1.06250 1.67144i
\(621\) 20.5124 + 0.437175i 0.823135 + 0.0175432i
\(622\) −37.7216 10.9745i −1.51250 0.440039i
\(623\) 8.87742 20.5802i 0.355666 0.824527i
\(624\) 2.48911 0.0113955i 0.0996440 0.000456186i
\(625\) 12.2286 + 12.9616i 0.489146 + 0.518464i
\(626\) −5.59940 + 24.4713i −0.223797 + 0.978071i
\(627\) 34.8689 21.6325i 1.39253 0.863917i
\(628\) 5.53758 5.38949i 0.220974 0.215064i
\(629\) −27.2962 22.9042i −1.08837 0.913252i
\(630\) −17.4710 20.2817i −0.696063 0.808042i
\(631\) −30.0636 35.8284i −1.19681 1.42631i −0.878115 0.478449i \(-0.841199\pi\)
−0.318697 0.947857i \(-0.603245\pi\)
\(632\) 24.8964 3.49983i 0.990326 0.139216i
\(633\) 6.78013 7.65867i 0.269486 0.304405i
\(634\) 4.28448 + 34.3403i 0.170158 + 1.36383i
\(635\) −44.4169 + 19.1596i −1.76263 + 0.760324i
\(636\) −37.7842 2.61644i −1.49824 0.103748i
\(637\) −0.553753 1.10261i −0.0219405 0.0436871i
\(638\) 17.0716 + 1.86107i 0.675872 + 0.0736806i
\(639\) 7.99514 22.3261i 0.316283 0.883206i
\(640\) −33.8464 + 16.8376i −1.33790 + 0.665566i
\(641\) 4.20629 + 3.96843i 0.166138 + 0.156744i 0.764821 0.644243i \(-0.222827\pi\)
−0.598683 + 0.800986i \(0.704309\pi\)
\(642\) −6.98167 3.16796i −0.275545 0.125029i
\(643\) 2.96448 1.94977i 0.116908 0.0768914i −0.489709 0.871886i \(-0.662897\pi\)
0.606616 + 0.794995i \(0.292526\pi\)
\(644\) 14.6435 2.81729i 0.577034 0.111017i
\(645\) −2.29051 + 8.63782i −0.0901886 + 0.340114i
\(646\) 23.4026 + 19.3293i 0.920765 + 0.760503i
\(647\) −12.1790 −0.478807 −0.239403 0.970920i \(-0.576952\pi\)
−0.239403 + 0.970920i \(0.576952\pi\)
\(648\) −22.4615 11.9784i −0.882370 0.470556i
\(649\) 23.1575 0.909013
\(650\) 2.41501 + 1.99467i 0.0947246 + 0.0782375i
\(651\) 23.2972 6.30727i 0.913090 0.247201i
\(652\) 1.66846 + 8.67215i 0.0653417 + 0.339628i
\(653\) 3.35363 2.20572i 0.131238 0.0863163i −0.482193 0.876065i \(-0.660160\pi\)
0.613430 + 0.789749i \(0.289789\pi\)
\(654\) −12.3059 + 8.80809i −0.481198 + 0.344424i
\(655\) 16.8232 + 15.8719i 0.657338 + 0.620167i
\(656\) 24.0891 + 6.40343i 0.940520 + 0.250012i
\(657\) 17.0492 + 46.0969i 0.665151 + 1.79841i
\(658\) 25.7215 + 2.80404i 1.00273 + 0.109313i
\(659\) −4.69181 9.34216i −0.182767 0.363919i 0.783528 0.621357i \(-0.213418\pi\)
−0.966295 + 0.257438i \(0.917122\pi\)
\(660\) −40.1738 + 19.6277i −1.56376 + 0.764008i
\(661\) −4.99646 + 2.15526i −0.194340 + 0.0838300i −0.491026 0.871145i \(-0.663378\pi\)
0.296686 + 0.954975i \(0.404119\pi\)
\(662\) 5.01070 + 40.1611i 0.194746 + 1.56090i
\(663\) 0.690348 + 2.06540i 0.0268109 + 0.0802135i
\(664\) 9.60692 1.35050i 0.372821 0.0524096i
\(665\) 24.8736 + 29.6432i 0.964556 + 1.14951i
\(666\) −37.6879 21.1129i −1.46038 0.818109i
\(667\) −9.50827 7.97839i −0.368162 0.308924i
\(668\) −14.6178 15.0195i −0.565581 0.581122i
\(669\) 38.9405 + 20.8664i 1.50553 + 0.806741i
\(670\) −3.69104 + 16.1311i −0.142597 + 0.623200i
\(671\) −22.6091 23.9643i −0.872816 0.925130i
\(672\) −17.7885 5.08708i −0.686205 0.196238i
\(673\) 3.32014 7.69695i 0.127982 0.296696i −0.842162 0.539224i \(-0.818718\pi\)
0.970144 + 0.242529i \(0.0779768\pi\)
\(674\) −18.2497 5.30948i −0.702953 0.204514i
\(675\) −12.0580 29.6768i −0.464111 1.14226i
\(676\) 21.7242 + 13.8095i 0.835545 + 0.531136i
\(677\) 31.7495 3.71098i 1.22023 0.142625i 0.518507 0.855073i \(-0.326488\pi\)
0.701724 + 0.712449i \(0.252414\pi\)
\(678\) 5.96927 0.937646i 0.229248 0.0360101i
\(679\) 5.65050 + 23.8413i 0.216846 + 0.914947i
\(680\) −23.2510 23.5215i −0.891635 0.902008i
\(681\) −20.8720 + 4.36618i −0.799817 + 0.167313i
\(682\) −0.313175 40.3128i −0.0119921 1.54366i
\(683\) −40.0512 7.06211i −1.53252 0.270224i −0.657179 0.753734i \(-0.728250\pi\)
−0.875339 + 0.483510i \(0.839362\pi\)
\(684\) 32.2425 + 17.7347i 1.23282 + 0.678104i
\(685\) −41.4962 + 7.31690i −1.58549 + 0.279565i
\(686\) 5.05164 + 27.4027i 0.192873 + 1.04624i
\(687\) 3.31190 2.63270i 0.126357 0.100444i
\(688\) 1.95439 + 5.85903i 0.0745103 + 0.223374i
\(689\) 3.15084 + 2.34572i 0.120038 + 0.0893647i
\(690\) 32.0228 + 4.35222i 1.21909 + 0.165686i
\(691\) −0.0634606 + 1.08958i −0.00241416 + 0.0414495i −0.999300 0.0374076i \(-0.988090\pi\)
0.996886 + 0.0788570i \(0.0251271\pi\)
\(692\) −9.70653 12.6238i −0.368987 0.479886i
\(693\) −20.9959 6.16729i −0.797568 0.234276i
\(694\) −0.887182 13.4336i −0.0336770 0.509934i
\(695\) −57.9143 13.7259i −2.19681 0.520655i
\(696\) 6.05447 + 14.1599i 0.229494 + 0.536729i
\(697\) 1.26798 + 21.7703i 0.0480280 + 0.824609i
\(698\) −35.1865 + 18.0150i −1.33183 + 0.681877i
\(699\) 7.22178 3.39040i 0.273153 0.128237i
\(700\) −13.0942 19.2506i −0.494916 0.727603i
\(701\) −5.91154 10.2391i −0.223276 0.386725i 0.732525 0.680740i \(-0.238342\pi\)
−0.955801 + 0.294015i \(0.905008\pi\)
\(702\) 1.28898 + 2.30408i 0.0486495 + 0.0869619i
\(703\) 54.0803 + 31.2233i 2.03968 + 1.17761i
\(704\) −15.7600 + 26.5823i −0.593979 + 1.00186i
\(705\) 50.8811 + 23.5658i 1.91629 + 0.887541i
\(706\) 1.24221 + 0.803259i 0.0467511 + 0.0302311i
\(707\) 7.23631 14.4087i 0.272149 0.541894i
\(708\) 10.1857 + 18.0974i 0.382804 + 0.680141i
\(709\) 13.6925 4.09927i 0.514233 0.153951i −0.0191638 0.999816i \(-0.506100\pi\)
0.533397 + 0.845865i \(0.320915\pi\)
\(710\) 16.5044 33.5095i 0.619399 1.25759i
\(711\) 16.0347 + 21.3068i 0.601348 + 0.799066i
\(712\) 5.05767 33.1887i 0.189544 1.24380i
\(713\) −16.0117 + 24.3447i −0.599644 + 0.911714i
\(714\) −0.638412 16.1743i −0.0238920 0.605306i
\(715\) 4.60592 + 0.538355i 0.172252 + 0.0201333i
\(716\) −14.1809 + 17.4435i −0.529965 + 0.651894i
\(717\) 14.7644 8.01038i 0.551387 0.299153i
\(718\) −11.3005 13.2568i −0.421729 0.494740i
\(719\) 45.7708 + 16.6592i 1.70696 + 0.621284i 0.996588 0.0825390i \(-0.0263029\pi\)
0.710376 + 0.703823i \(0.248525\pi\)
\(720\) −33.0091 22.7622i −1.23018 0.848298i
\(721\) −2.14356 + 0.780193i −0.0798304 + 0.0290559i
\(722\) −22.8987 12.9845i −0.852202 0.483231i
\(723\) 3.41433 23.7385i 0.126980 0.882846i
\(724\) −32.7231 18.2208i −1.21614 0.677169i
\(725\) −5.55792 + 18.5647i −0.206416 + 0.689477i
\(726\) −4.95820 + 8.22806i −0.184016 + 0.305372i
\(727\) 1.20400 0.896348i 0.0446540 0.0332437i −0.574600 0.818434i \(-0.694842\pi\)
0.619254 + 0.785191i \(0.287435\pi\)
\(728\) 1.26735 + 1.44080i 0.0469709 + 0.0533995i
\(729\) −0.420067 26.9967i −0.0155581 0.999879i
\(730\) 18.4380 + 75.1882i 0.682421 + 2.78284i
\(731\) −4.33441 + 3.22685i −0.160314 + 0.119349i
\(732\) 8.78331 28.2094i 0.324640 1.04265i
\(733\) −33.8317 10.1286i −1.24960 0.374107i −0.407392 0.913253i \(-0.633562\pi\)
−0.842212 + 0.539147i \(0.818747\pi\)
\(734\) −29.1406 + 31.3719i −1.07560 + 1.15796i
\(735\) −2.82961 + 19.6732i −0.104372 + 0.725657i
\(736\) 20.1504 9.63666i 0.742754 0.355212i
\(737\) 4.62668 + 12.7117i 0.170426 + 0.468242i
\(738\) 6.42968 + 25.6439i 0.236680 + 0.943964i
\(739\) 8.84127 + 3.21796i 0.325231 + 0.118375i 0.499476 0.866328i \(-0.333526\pi\)
−0.174244 + 0.984702i \(0.555748\pi\)
\(740\) −55.2043 39.7801i −2.02935 1.46235i
\(741\) −1.82000 3.35455i −0.0668595 0.123233i
\(742\) −17.6170 23.2839i −0.646740 0.854778i
\(743\) −34.0802 3.98341i −1.25028 0.146137i −0.534927 0.844898i \(-0.679661\pi\)
−0.715355 + 0.698761i \(0.753735\pi\)
\(744\) 31.3663 17.9762i 1.14994 0.659038i
\(745\) 21.3857 + 14.0656i 0.783513 + 0.515325i
\(746\) −24.4603 + 33.3944i −0.895556 + 1.22266i
\(747\) 6.18740 + 8.22176i 0.226385 + 0.300818i
\(748\) −26.4017 5.82562i −0.965341 0.213006i
\(749\) −1.69510 5.66203i −0.0619376 0.206886i
\(750\) −2.56258 9.18203i −0.0935721 0.335280i
\(751\) 4.10117 8.16611i 0.149654 0.297985i −0.806298 0.591510i \(-0.798532\pi\)
0.955951 + 0.293525i \(0.0948283\pi\)
\(752\) 38.3351 5.69301i 1.39794 0.207603i
\(753\) 10.6070 22.9017i 0.386542 0.834585i
\(754\) 0.265122 1.57503i 0.00965516 0.0573593i
\(755\) 10.3526 + 5.97707i 0.376769 + 0.217528i
\(756\) −4.41528 19.1207i −0.160582 0.695414i
\(757\) −23.9020 + 13.7998i −0.868732 + 0.501563i −0.866927 0.498436i \(-0.833908\pi\)
−0.00180534 + 0.999998i \(0.500575\pi\)
\(758\) −6.11750 16.4099i −0.222198 0.596035i
\(759\) 23.9141 11.2269i 0.868027 0.407511i
\(760\) 47.2866 + 33.5196i 1.71526 + 1.21588i
\(761\) 38.8111 2.26049i 1.40690 0.0819426i 0.662192 0.749334i \(-0.269626\pi\)
0.744707 + 0.667391i \(0.232589\pi\)
\(762\) −35.3565 2.72446i −1.28083 0.0986968i
\(763\) −11.3518 2.69042i −0.410962 0.0973999i
\(764\) 12.6085 + 39.8511i 0.456159 + 1.44176i
\(765\) 9.88662 33.6579i 0.357451 1.21691i
\(766\) 23.7407 10.4602i 0.857786 0.377943i
\(767\) 0.125233 2.15017i 0.00452191 0.0776383i
\(768\) −27.7058 0.624197i −0.999746 0.0225238i
\(769\) 5.38065 7.22747i 0.194031 0.260629i −0.694451 0.719540i \(-0.744353\pi\)
0.888482 + 0.458911i \(0.151760\pi\)
\(770\) −31.7547 13.4060i −1.14436 0.483120i
\(771\) −37.5300 + 29.8333i −1.35161 + 1.07442i
\(772\) 8.98204 + 19.9640i 0.323271 + 0.718521i
\(773\)