Properties

Label 126.2.l.a.5.6
Level $126$
Weight $2$
Character 126.5
Analytic conductor $1.006$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 126.l (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.00611506547\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + 2785 x^{8} - 2640 x^{7} - 2601 x^{6} + 10260 x^{5} - 10611 x^{4} - 1944 x^{3} + \cdots + 6561 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{11}]\)
Coefficient ring index: \( 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.6
Root \(1.27866 - 1.16834i\) of defining polynomial
Character \(\chi\) \(=\) 126.5
Dual form 126.2.l.a.101.2

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(-1.08509 - 1.35003i) q^{3} -1.00000 q^{4} +(1.77612 + 3.07634i) q^{5} +(1.35003 - 1.08509i) q^{6} +(2.63804 - 0.201867i) q^{7} -1.00000i q^{8} +(-0.645160 + 2.92981i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(-1.08509 - 1.35003i) q^{3} -1.00000 q^{4} +(1.77612 + 3.07634i) q^{5} +(1.35003 - 1.08509i) q^{6} +(2.63804 - 0.201867i) q^{7} -1.00000i q^{8} +(-0.645160 + 2.92981i) q^{9} +(-3.07634 + 1.77612i) q^{10} +(2.61745 + 1.51119i) q^{11} +(1.08509 + 1.35003i) q^{12} +(-0.888944 - 0.513232i) q^{13} +(0.201867 + 2.63804i) q^{14} +(2.22589 - 5.73592i) q^{15} +1.00000 q^{16} +(-0.809204 - 1.40158i) q^{17} +(-2.92981 - 0.645160i) q^{18} +(-7.12643 - 4.11444i) q^{19} +(-1.77612 - 3.07634i) q^{20} +(-3.13504 - 3.34239i) q^{21} +(-1.51119 + 2.61745i) q^{22} +(2.90837 - 1.67915i) q^{23} +(-1.35003 + 1.08509i) q^{24} +(-3.80924 + 6.59779i) q^{25} +(0.513232 - 0.888944i) q^{26} +(4.65538 - 2.30812i) q^{27} +(-2.63804 + 0.201867i) q^{28} +(-3.70319 + 2.13804i) q^{29} +(5.73592 + 2.22589i) q^{30} -5.98576i q^{31} +1.00000i q^{32} +(-0.800023 - 5.17341i) q^{33} +(1.40158 - 0.809204i) q^{34} +(5.30650 + 7.75696i) q^{35} +(0.645160 - 2.92981i) q^{36} +(2.92323 - 5.06319i) q^{37} +(4.11444 - 7.12643i) q^{38} +(0.271706 + 1.75700i) q^{39} +(3.07634 - 1.77612i) q^{40} +(0.0472226 - 0.0817920i) q^{41} +(3.34239 - 3.13504i) q^{42} +(3.05899 + 5.29833i) q^{43} +(-2.61745 - 1.51119i) q^{44} +(-10.1590 + 3.21897i) q^{45} +(1.67915 + 2.90837i) q^{46} -5.14045 q^{47} +(-1.08509 - 1.35003i) q^{48} +(6.91850 - 1.06507i) q^{49} +(-6.59779 - 3.80924i) q^{50} +(-1.01412 + 2.61329i) q^{51} +(0.888944 + 0.513232i) q^{52} +(-2.76235 + 1.59484i) q^{53} +(2.30812 + 4.65538i) q^{54} +10.7362i q^{55} +(-0.201867 - 2.63804i) q^{56} +(2.17819 + 14.0854i) q^{57} +(-2.13804 - 3.70319i) q^{58} -8.84071 q^{59} +(-2.22589 + 5.73592i) q^{60} -4.69034i q^{61} +5.98576 q^{62} +(-1.11052 + 7.85918i) q^{63} -1.00000 q^{64} -3.64626i q^{65} +(5.17341 - 0.800023i) q^{66} -0.375675 q^{67} +(0.809204 + 1.40158i) q^{68} +(-5.42275 - 2.10436i) q^{69} +(-7.75696 + 5.30650i) q^{70} -13.9868i q^{71} +(2.92981 + 0.645160i) q^{72} +(1.13546 - 0.655556i) q^{73} +(5.06319 + 2.92323i) q^{74} +(13.0406 - 2.01662i) q^{75} +(7.12643 + 4.11444i) q^{76} +(7.20999 + 3.45819i) q^{77} +(-1.75700 + 0.271706i) q^{78} +0.924134 q^{79} +(1.77612 + 3.07634i) q^{80} +(-8.16754 - 3.78039i) q^{81} +(0.0817920 + 0.0472226i) q^{82} +(5.43209 + 9.40866i) q^{83} +(3.13504 + 3.34239i) q^{84} +(2.87450 - 4.97877i) q^{85} +(-5.29833 + 3.05899i) q^{86} +(6.90471 + 2.67945i) q^{87} +(1.51119 - 2.61745i) q^{88} +(-2.35495 + 4.07888i) q^{89} +(-3.21897 - 10.1590i) q^{90} +(-2.44867 - 1.17448i) q^{91} +(-2.90837 + 1.67915i) q^{92} +(-8.08095 + 6.49509i) q^{93} -5.14045i q^{94} -29.2311i q^{95} +(1.35003 - 1.08509i) q^{96} +(13.3330 - 7.69782i) q^{97} +(1.06507 + 6.91850i) q^{98} +(-6.11615 + 6.69367i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 16 q^{4} + 2 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 16 q^{4} + 2 q^{7} + 12 q^{11} + 6 q^{13} - 6 q^{14} - 18 q^{15} + 16 q^{16} - 18 q^{17} - 12 q^{18} - 12 q^{21} - 6 q^{23} - 8 q^{25} + 12 q^{26} + 36 q^{27} - 2 q^{28} + 6 q^{29} + 30 q^{35} - 2 q^{37} - 12 q^{39} - 6 q^{41} - 2 q^{43} - 12 q^{44} - 30 q^{45} + 6 q^{46} - 36 q^{47} - 8 q^{49} - 12 q^{50} + 6 q^{51} - 6 q^{52} - 36 q^{53} + 18 q^{54} + 6 q^{56} + 6 q^{57} + 6 q^{58} + 60 q^{59} + 18 q^{60} + 36 q^{62} + 36 q^{63} - 16 q^{64} + 24 q^{66} - 28 q^{67} + 18 q^{68} - 42 q^{69} - 18 q^{70} + 12 q^{72} + 18 q^{74} + 60 q^{75} - 42 q^{77} + 32 q^{79} - 36 q^{81} + 12 q^{84} - 12 q^{85} + 24 q^{86} - 24 q^{87} - 24 q^{89} + 18 q^{90} - 12 q^{91} + 6 q^{92} - 42 q^{93} + 6 q^{97} - 24 q^{98} + 18 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −1.08509 1.35003i −0.626477 0.779440i
\(4\) −1.00000 −0.500000
\(5\) 1.77612 + 3.07634i 0.794307 + 1.37578i 0.923278 + 0.384132i \(0.125499\pi\)
−0.128971 + 0.991648i \(0.541167\pi\)
\(6\) 1.35003 1.08509i 0.551147 0.442986i
\(7\) 2.63804 0.201867i 0.997085 0.0762987i
\(8\) 1.00000i 0.353553i
\(9\) −0.645160 + 2.92981i −0.215053 + 0.976602i
\(10\) −3.07634 + 1.77612i −0.972824 + 0.561660i
\(11\) 2.61745 + 1.51119i 0.789191 + 0.455639i 0.839678 0.543085i \(-0.182744\pi\)
−0.0504869 + 0.998725i \(0.516077\pi\)
\(12\) 1.08509 + 1.35003i 0.313238 + 0.389720i
\(13\) −0.888944 0.513232i −0.246549 0.142345i 0.371634 0.928379i \(-0.378798\pi\)
−0.618183 + 0.786034i \(0.712131\pi\)
\(14\) 0.201867 + 2.63804i 0.0539513 + 0.705046i
\(15\) 2.22589 5.73592i 0.574723 1.48101i
\(16\) 1.00000 0.250000
\(17\) −0.809204 1.40158i −0.196261 0.339934i 0.751052 0.660243i \(-0.229547\pi\)
−0.947313 + 0.320309i \(0.896213\pi\)
\(18\) −2.92981 0.645160i −0.690562 0.152066i
\(19\) −7.12643 4.11444i −1.63491 0.943918i −0.982547 0.186016i \(-0.940442\pi\)
−0.652368 0.757903i \(-0.726224\pi\)
\(20\) −1.77612 3.07634i −0.397154 0.687890i
\(21\) −3.13504 3.34239i −0.684121 0.729369i
\(22\) −1.51119 + 2.61745i −0.322186 + 0.558042i
\(23\) 2.90837 1.67915i 0.606438 0.350127i −0.165132 0.986271i \(-0.552805\pi\)
0.771570 + 0.636144i \(0.219472\pi\)
\(24\) −1.35003 + 1.08509i −0.275574 + 0.221493i
\(25\) −3.80924 + 6.59779i −0.761848 + 1.31956i
\(26\) 0.513232 0.888944i 0.100653 0.174336i
\(27\) 4.65538 2.30812i 0.895929 0.444198i
\(28\) −2.63804 + 0.201867i −0.498543 + 0.0381493i
\(29\) −3.70319 + 2.13804i −0.687666 + 0.397024i −0.802737 0.596333i \(-0.796624\pi\)
0.115071 + 0.993357i \(0.463290\pi\)
\(30\) 5.73592 + 2.22589i 1.04723 + 0.406391i
\(31\) 5.98576i 1.07507i −0.843240 0.537537i \(-0.819355\pi\)
0.843240 0.537537i \(-0.180645\pi\)
\(32\) 1.00000i 0.176777i
\(33\) −0.800023 5.17341i −0.139266 0.900574i
\(34\) 1.40158 0.809204i 0.240369 0.138777i
\(35\) 5.30650 + 7.75696i 0.896962 + 1.31117i
\(36\) 0.645160 2.92981i 0.107527 0.488301i
\(37\) 2.92323 5.06319i 0.480577 0.832384i −0.519175 0.854668i \(-0.673761\pi\)
0.999752 + 0.0222846i \(0.00709398\pi\)
\(38\) 4.11444 7.12643i 0.667451 1.15606i
\(39\) 0.271706 + 1.75700i 0.0435078 + 0.281346i
\(40\) 3.07634 1.77612i 0.486412 0.280830i
\(41\) 0.0472226 0.0817920i 0.00737493 0.0127738i −0.862314 0.506373i \(-0.830986\pi\)
0.869689 + 0.493600i \(0.164319\pi\)
\(42\) 3.34239 3.13504i 0.515741 0.483747i
\(43\) 3.05899 + 5.29833i 0.466492 + 0.807988i 0.999267 0.0382684i \(-0.0121842\pi\)
−0.532775 + 0.846257i \(0.678851\pi\)
\(44\) −2.61745 1.51119i −0.394595 0.227820i
\(45\) −10.1590 + 3.21897i −1.51441 + 0.479856i
\(46\) 1.67915 + 2.90837i 0.247577 + 0.428816i
\(47\) −5.14045 −0.749812 −0.374906 0.927063i \(-0.622325\pi\)
−0.374906 + 0.927063i \(0.622325\pi\)
\(48\) −1.08509 1.35003i −0.156619 0.194860i
\(49\) 6.91850 1.06507i 0.988357 0.152153i
\(50\) −6.59779 3.80924i −0.933069 0.538708i
\(51\) −1.01412 + 2.61329i −0.142005 + 0.365934i
\(52\) 0.888944 + 0.513232i 0.123274 + 0.0711725i
\(53\) −2.76235 + 1.59484i −0.379438 + 0.219068i −0.677574 0.735455i \(-0.736968\pi\)
0.298136 + 0.954523i \(0.403635\pi\)
\(54\) 2.30812 + 4.65538i 0.314095 + 0.633517i
\(55\) 10.7362i 1.44767i
\(56\) −0.201867 2.63804i −0.0269757 0.352523i
\(57\) 2.17819 + 14.0854i 0.288509 + 1.86566i
\(58\) −2.13804 3.70319i −0.280738 0.486253i
\(59\) −8.84071 −1.15096 −0.575481 0.817815i \(-0.695185\pi\)
−0.575481 + 0.817815i \(0.695185\pi\)
\(60\) −2.22589 + 5.73592i −0.287361 + 0.740505i
\(61\) 4.69034i 0.600537i −0.953855 0.300268i \(-0.902924\pi\)
0.953855 0.300268i \(-0.0970762\pi\)
\(62\) 5.98576 0.760192
\(63\) −1.11052 + 7.85918i −0.139913 + 0.990164i
\(64\) −1.00000 −0.125000
\(65\) 3.64626i 0.452263i
\(66\) 5.17341 0.800023i 0.636802 0.0984761i
\(67\) −0.375675 −0.0458961 −0.0229480 0.999737i \(-0.507305\pi\)
−0.0229480 + 0.999737i \(0.507305\pi\)
\(68\) 0.809204 + 1.40158i 0.0981304 + 0.169967i
\(69\) −5.42275 2.10436i −0.652822 0.253335i
\(70\) −7.75696 + 5.30650i −0.927134 + 0.634248i
\(71\) 13.9868i 1.65993i −0.557815 0.829966i \(-0.688360\pi\)
0.557815 0.829966i \(-0.311640\pi\)
\(72\) 2.92981 + 0.645160i 0.345281 + 0.0760328i
\(73\) 1.13546 0.655556i 0.132895 0.0767270i −0.432079 0.901836i \(-0.642220\pi\)
0.564974 + 0.825109i \(0.308886\pi\)
\(74\) 5.06319 + 2.92323i 0.588584 + 0.339819i
\(75\) 13.0406 2.01662i 1.50580 0.232859i
\(76\) 7.12643 + 4.11444i 0.817457 + 0.471959i
\(77\) 7.20999 + 3.45819i 0.821655 + 0.394097i
\(78\) −1.75700 + 0.271706i −0.198942 + 0.0307646i
\(79\) 0.924134 0.103973 0.0519866 0.998648i \(-0.483445\pi\)
0.0519866 + 0.998648i \(0.483445\pi\)
\(80\) 1.77612 + 3.07634i 0.198577 + 0.343945i
\(81\) −8.16754 3.78039i −0.907504 0.420043i
\(82\) 0.0817920 + 0.0472226i 0.00903241 + 0.00521487i
\(83\) 5.43209 + 9.40866i 0.596250 + 1.03273i 0.993369 + 0.114968i \(0.0366765\pi\)
−0.397119 + 0.917767i \(0.629990\pi\)
\(84\) 3.13504 + 3.34239i 0.342061 + 0.364684i
\(85\) 2.87450 4.97877i 0.311783 0.540024i
\(86\) −5.29833 + 3.05899i −0.571334 + 0.329860i
\(87\) 6.90471 + 2.67945i 0.740263 + 0.287268i
\(88\) 1.51119 2.61745i 0.161093 0.279021i
\(89\) −2.35495 + 4.07888i −0.249624 + 0.432361i −0.963421 0.267991i \(-0.913640\pi\)
0.713798 + 0.700352i \(0.246974\pi\)
\(90\) −3.21897 10.1590i −0.339310 1.07085i
\(91\) −2.44867 1.17448i −0.256691 0.123119i
\(92\) −2.90837 + 1.67915i −0.303219 + 0.175063i
\(93\) −8.08095 + 6.49509i −0.837956 + 0.673509i
\(94\) 5.14045i 0.530197i
\(95\) 29.2311i 2.99904i
\(96\) 1.35003 1.08509i 0.137787 0.110747i
\(97\) 13.3330 7.69782i 1.35376 0.781595i 0.364988 0.931012i \(-0.381073\pi\)
0.988774 + 0.149417i \(0.0477397\pi\)
\(98\) 1.06507 + 6.91850i 0.107588 + 0.698874i
\(99\) −6.11615 + 6.69367i −0.614697 + 0.672739i
\(100\) 3.80924 6.59779i 0.380924 0.659779i
\(101\) −6.85234 + 11.8686i −0.681833 + 1.18097i 0.292588 + 0.956239i \(0.405484\pi\)
−0.974421 + 0.224731i \(0.927850\pi\)
\(102\) −2.61329 1.01412i −0.258755 0.100413i
\(103\) 2.64014 1.52429i 0.260141 0.150192i −0.364258 0.931298i \(-0.618677\pi\)
0.624399 + 0.781106i \(0.285344\pi\)
\(104\) −0.513232 + 0.888944i −0.0503266 + 0.0871682i
\(105\) 4.71410 15.5809i 0.460049 1.52054i
\(106\) −1.59484 2.76235i −0.154905 0.268303i
\(107\) −11.3681 6.56336i −1.09899 0.634504i −0.163037 0.986620i \(-0.552129\pi\)
−0.935956 + 0.352116i \(0.885462\pi\)
\(108\) −4.65538 + 2.30812i −0.447964 + 0.222099i
\(109\) 5.28574 + 9.15516i 0.506282 + 0.876906i 0.999974 + 0.00726875i \(0.00231373\pi\)
−0.493692 + 0.869637i \(0.664353\pi\)
\(110\) −10.7362 −1.02366
\(111\) −10.0074 + 1.54756i −0.949863 + 0.146888i
\(112\) 2.63804 0.201867i 0.249271 0.0190747i
\(113\) 10.6520 + 6.14993i 1.00205 + 0.578537i 0.908856 0.417111i \(-0.136957\pi\)
0.0931992 + 0.995647i \(0.470291\pi\)
\(114\) −14.0854 + 2.17819i −1.31922 + 0.204006i
\(115\) 10.3313 + 5.96476i 0.963396 + 0.556217i
\(116\) 3.70319 2.13804i 0.343833 0.198512i
\(117\) 2.07718 2.27332i 0.192036 0.210168i
\(118\) 8.84071i 0.813853i
\(119\) −2.41765 3.53408i −0.221625 0.323968i
\(120\) −5.73592 2.22589i −0.523616 0.203195i
\(121\) −0.932639 1.61538i −0.0847854 0.146853i
\(122\) 4.69034 0.424644
\(123\) −0.161662 + 0.0249997i −0.0145766 + 0.00225415i
\(124\) 5.98576i 0.537537i
\(125\) −9.30148 −0.831950
\(126\) −7.85918 1.11052i −0.700152 0.0989333i
\(127\) 0.287164 0.0254817 0.0127408 0.999919i \(-0.495944\pi\)
0.0127408 + 0.999919i \(0.495944\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 3.83362 9.87890i 0.337532 0.869789i
\(130\) 3.64626 0.319798
\(131\) 0.186474 + 0.322983i 0.0162923 + 0.0282192i 0.874057 0.485824i \(-0.161480\pi\)
−0.857764 + 0.514043i \(0.828147\pi\)
\(132\) 0.800023 + 5.17341i 0.0696331 + 0.450287i
\(133\) −19.6304 9.41547i −1.70217 0.816425i
\(134\) 0.375675i 0.0324534i
\(135\) 15.3691 + 10.2220i 1.32276 + 0.879772i
\(136\) −1.40158 + 0.809204i −0.120185 + 0.0693887i
\(137\) 6.11607 + 3.53111i 0.522531 + 0.301683i 0.737969 0.674834i \(-0.235785\pi\)
−0.215439 + 0.976517i \(0.569118\pi\)
\(138\) 2.10436 5.42275i 0.179135 0.461615i
\(139\) −12.6320 7.29308i −1.07143 0.618591i −0.142858 0.989743i \(-0.545629\pi\)
−0.928572 + 0.371152i \(0.878963\pi\)
\(140\) −5.30650 7.75696i −0.448481 0.655583i
\(141\) 5.57785 + 6.93976i 0.469740 + 0.584434i
\(142\) 13.9868 1.17375
\(143\) −1.55118 2.68672i −0.129716 0.224675i
\(144\) −0.645160 + 2.92981i −0.0537633 + 0.244151i
\(145\) −13.1547 7.59485i −1.09244 0.630718i
\(146\) 0.655556 + 1.13546i 0.0542542 + 0.0939710i
\(147\) −8.94507 8.18448i −0.737777 0.675045i
\(148\) −2.92323 + 5.06319i −0.240288 + 0.416192i
\(149\) −9.26832 + 5.35107i −0.759290 + 0.438376i −0.829041 0.559188i \(-0.811113\pi\)
0.0697505 + 0.997564i \(0.477780\pi\)
\(150\) 2.01662 + 13.0406i 0.164656 + 1.06476i
\(151\) −8.00065 + 13.8575i −0.651084 + 1.12771i 0.331777 + 0.943358i \(0.392352\pi\)
−0.982860 + 0.184352i \(0.940981\pi\)
\(152\) −4.11444 + 7.12643i −0.333726 + 0.578030i
\(153\) 4.62843 1.46657i 0.374187 0.118565i
\(154\) −3.45819 + 7.20999i −0.278669 + 0.580998i
\(155\) 18.4142 10.6315i 1.47907 0.853939i
\(156\) −0.271706 1.75700i −0.0217539 0.140673i
\(157\) 11.5267i 0.919928i 0.887937 + 0.459964i \(0.152138\pi\)
−0.887937 + 0.459964i \(0.847862\pi\)
\(158\) 0.924134i 0.0735202i
\(159\) 5.15048 + 1.99870i 0.408460 + 0.158508i
\(160\) −3.07634 + 1.77612i −0.243206 + 0.140415i
\(161\) 7.33344 5.01677i 0.577956 0.395377i
\(162\) 3.78039 8.16754i 0.297015 0.641702i
\(163\) 1.37386 2.37960i 0.107609 0.186385i −0.807192 0.590289i \(-0.799014\pi\)
0.914801 + 0.403904i \(0.132347\pi\)
\(164\) −0.0472226 + 0.0817920i −0.00368747 + 0.00638688i
\(165\) 14.4942 11.6498i 1.12837 0.906932i
\(166\) −9.40866 + 5.43209i −0.730254 + 0.421612i
\(167\) −2.76946 + 4.79685i −0.214307 + 0.371191i −0.953058 0.302788i \(-0.902083\pi\)
0.738751 + 0.673979i \(0.235416\pi\)
\(168\) −3.34239 + 3.13504i −0.257871 + 0.241873i
\(169\) −5.97319 10.3459i −0.459476 0.795835i
\(170\) 4.97877 + 2.87450i 0.381854 + 0.220464i
\(171\) 16.6522 18.2246i 1.27343 1.39367i
\(172\) −3.05899 5.29833i −0.233246 0.403994i
\(173\) 11.2051 0.851905 0.425953 0.904745i \(-0.359939\pi\)
0.425953 + 0.904745i \(0.359939\pi\)
\(174\) −2.67945 + 6.90471i −0.203129 + 0.523445i
\(175\) −8.71704 + 18.1742i −0.658946 + 1.37384i
\(176\) 2.61745 + 1.51119i 0.197298 + 0.113910i
\(177\) 9.59297 + 11.9352i 0.721052 + 0.897106i
\(178\) −4.07888 2.35495i −0.305725 0.176511i
\(179\) −2.37445 + 1.37089i −0.177475 + 0.102465i −0.586106 0.810235i \(-0.699340\pi\)
0.408631 + 0.912700i \(0.366006\pi\)
\(180\) 10.1590 3.21897i 0.757204 0.239928i
\(181\) 22.2899i 1.65679i 0.560142 + 0.828397i \(0.310747\pi\)
−0.560142 + 0.828397i \(0.689253\pi\)
\(182\) 1.17448 2.44867i 0.0870581 0.181508i
\(183\) −6.33210 + 5.08944i −0.468082 + 0.376222i
\(184\) −1.67915 2.90837i −0.123789 0.214408i
\(185\) 20.7681 1.52690
\(186\) −6.49509 8.08095i −0.476243 0.592524i
\(187\) 4.89143i 0.357697i
\(188\) 5.14045 0.374906
\(189\) 11.8151 7.02868i 0.859425 0.511261i
\(190\) 29.2311 2.12064
\(191\) 5.13264i 0.371385i −0.982608 0.185692i \(-0.940547\pi\)
0.982608 0.185692i \(-0.0594528\pi\)
\(192\) 1.08509 + 1.35003i 0.0783096 + 0.0974300i
\(193\) 15.9847 1.15060 0.575302 0.817941i \(-0.304884\pi\)
0.575302 + 0.817941i \(0.304884\pi\)
\(194\) 7.69782 + 13.3330i 0.552671 + 0.957254i
\(195\) −4.92256 + 3.95652i −0.352512 + 0.283332i
\(196\) −6.91850 + 1.06507i −0.494179 + 0.0760763i
\(197\) 4.72572i 0.336694i 0.985728 + 0.168347i \(0.0538428\pi\)
−0.985728 + 0.168347i \(0.946157\pi\)
\(198\) −6.69367 6.11615i −0.475698 0.434656i
\(199\) 1.83679 1.06047i 0.130207 0.0751749i −0.433482 0.901162i \(-0.642715\pi\)
0.563689 + 0.825987i \(0.309382\pi\)
\(200\) 6.59779 + 3.80924i 0.466534 + 0.269354i
\(201\) 0.407642 + 0.507173i 0.0287528 + 0.0357732i
\(202\) −11.8686 6.85234i −0.835072 0.482129i
\(203\) −9.33756 + 6.38778i −0.655369 + 0.448335i
\(204\) 1.01412 2.61329i 0.0710025 0.182967i
\(205\) 0.335493 0.0234319
\(206\) 1.52429 + 2.64014i 0.106202 + 0.183947i
\(207\) 3.04322 + 9.60429i 0.211518 + 0.667544i
\(208\) −0.888944 0.513232i −0.0616372 0.0355863i
\(209\) −12.4354 21.5387i −0.860173 1.48986i
\(210\) 15.5809 + 4.71410i 1.07519 + 0.325303i
\(211\) −13.8079 + 23.9160i −0.950578 + 1.64645i −0.206399 + 0.978468i \(0.566174\pi\)
−0.744179 + 0.667981i \(0.767159\pi\)
\(212\) 2.76235 1.59484i 0.189719 0.109534i
\(213\) −18.8826 + 15.1770i −1.29382 + 1.03991i
\(214\) 6.56336 11.3681i 0.448662 0.777105i
\(215\) −10.8663 + 18.8210i −0.741076 + 1.28358i
\(216\) −2.30812 4.65538i −0.157048 0.316759i
\(217\) −1.20833 15.7907i −0.0820267 1.07194i
\(218\) −9.15516 + 5.28574i −0.620066 + 0.357995i
\(219\) −2.11709 0.821562i −0.143060 0.0555160i
\(220\) 10.7362i 0.723835i
\(221\) 1.66124i 0.111747i
\(222\) −1.54756 10.0074i −0.103866 0.671655i
\(223\) −17.6209 + 10.1734i −1.17998 + 0.681264i −0.956011 0.293331i \(-0.905236\pi\)
−0.223973 + 0.974595i \(0.571903\pi\)
\(224\) 0.201867 + 2.63804i 0.0134878 + 0.176261i
\(225\) −16.8727 15.4170i −1.12485 1.02780i
\(226\) −6.14993 + 10.6520i −0.409087 + 0.708560i
\(227\) −2.08000 + 3.60266i −0.138054 + 0.239117i −0.926760 0.375654i \(-0.877418\pi\)
0.788706 + 0.614771i \(0.210752\pi\)
\(228\) −2.17819 14.0854i −0.144254 0.932830i
\(229\) −5.16986 + 2.98482i −0.341634 + 0.197242i −0.660994 0.750391i \(-0.729865\pi\)
0.319361 + 0.947633i \(0.396532\pi\)
\(230\) −5.96476 + 10.3313i −0.393305 + 0.681224i
\(231\) −3.15483 13.4861i −0.207573 0.887323i
\(232\) 2.13804 + 3.70319i 0.140369 + 0.243126i
\(233\) −3.88603 2.24360i −0.254582 0.146983i 0.367278 0.930111i \(-0.380290\pi\)
−0.621861 + 0.783128i \(0.713623\pi\)
\(234\) 2.27332 + 2.07718i 0.148611 + 0.135790i
\(235\) −9.13009 15.8138i −0.595581 1.03158i
\(236\) 8.84071 0.575481
\(237\) −1.00277 1.24761i −0.0651368 0.0810409i
\(238\) 3.53408 2.41765i 0.229080 0.156713i
\(239\) −3.02944 1.74905i −0.195958 0.113136i 0.398811 0.917033i \(-0.369423\pi\)
−0.594769 + 0.803897i \(0.702756\pi\)
\(240\) 2.22589 5.73592i 0.143681 0.370252i
\(241\) 10.0170 + 5.78332i 0.645252 + 0.372537i 0.786635 0.617419i \(-0.211821\pi\)
−0.141383 + 0.989955i \(0.545155\pi\)
\(242\) 1.61538 0.932639i 0.103840 0.0599523i
\(243\) 3.75888 + 15.1285i 0.241132 + 0.970492i
\(244\) 4.69034i 0.300268i
\(245\) 15.5646 + 19.3920i 0.994387 + 1.23891i
\(246\) −0.0249997 0.161662i −0.00159392 0.0103072i
\(247\) 4.22333 + 7.31502i 0.268724 + 0.465444i
\(248\) −5.98576 −0.380096
\(249\) 6.80766 17.5427i 0.431418 1.11173i
\(250\) 9.30148i 0.588277i
\(251\) 26.7426 1.68798 0.843988 0.536361i \(-0.180202\pi\)
0.843988 + 0.536361i \(0.180202\pi\)
\(252\) 1.11052 7.85918i 0.0699564 0.495082i
\(253\) 10.1500 0.638127
\(254\) 0.287164i 0.0180183i
\(255\) −9.84057 + 1.52176i −0.616241 + 0.0952964i
\(256\) 1.00000 0.0625000
\(257\) 2.60614 + 4.51396i 0.162566 + 0.281573i 0.935788 0.352562i \(-0.114690\pi\)
−0.773222 + 0.634135i \(0.781356\pi\)
\(258\) 9.87890 + 3.83362i 0.615034 + 0.238671i
\(259\) 6.68951 13.9470i 0.415666 0.866624i
\(260\) 3.64626i 0.226131i
\(261\) −3.87489 12.2290i −0.239850 0.756957i
\(262\) −0.322983 + 0.186474i −0.0199540 + 0.0115204i
\(263\) −13.0228 7.51869i −0.803018 0.463622i 0.0415076 0.999138i \(-0.486784\pi\)
−0.844525 + 0.535516i \(0.820117\pi\)
\(264\) −5.17341 + 0.800023i −0.318401 + 0.0492380i
\(265\) −9.81255 5.66528i −0.602780 0.348015i
\(266\) 9.41547 19.6304i 0.577300 1.20361i
\(267\) 8.06194 1.24671i 0.493383 0.0762975i
\(268\) 0.375675 0.0229480
\(269\) −11.5657 20.0323i −0.705170 1.22139i −0.966630 0.256177i \(-0.917537\pi\)
0.261460 0.965214i \(-0.415796\pi\)
\(270\) −10.2220 + 15.3691i −0.622092 + 0.935333i
\(271\) 8.58661 + 4.95748i 0.521599 + 0.301146i 0.737589 0.675250i \(-0.235964\pi\)
−0.215989 + 0.976396i \(0.569298\pi\)
\(272\) −0.809204 1.40158i −0.0490652 0.0849834i
\(273\) 1.07145 + 4.58020i 0.0648472 + 0.277206i
\(274\) −3.53111 + 6.11607i −0.213322 + 0.369485i
\(275\) −19.9410 + 11.5129i −1.20249 + 0.694256i
\(276\) 5.42275 + 2.10436i 0.326411 + 0.126668i
\(277\) 4.29721 7.44299i 0.258195 0.447206i −0.707564 0.706650i \(-0.750206\pi\)
0.965758 + 0.259443i \(0.0835391\pi\)
\(278\) 7.29308 12.6320i 0.437410 0.757616i
\(279\) 17.5371 + 3.86177i 1.04992 + 0.231198i
\(280\) 7.75696 5.30650i 0.463567 0.317124i
\(281\) −17.9508 + 10.3639i −1.07085 + 0.618258i −0.928415 0.371545i \(-0.878828\pi\)
−0.142440 + 0.989803i \(0.545495\pi\)
\(282\) −6.93976 + 5.57785i −0.413257 + 0.332156i
\(283\) 2.36710i 0.140709i 0.997522 + 0.0703547i \(0.0224131\pi\)
−0.997522 + 0.0703547i \(0.977587\pi\)
\(284\) 13.9868i 0.829966i
\(285\) −39.4628 + 31.7183i −2.33757 + 1.87883i
\(286\) 2.68672 1.55118i 0.158869 0.0917231i
\(287\) 0.108064 0.225303i 0.00637882 0.0132992i
\(288\) −2.92981 0.645160i −0.172641 0.0380164i
\(289\) 7.19038 12.4541i 0.422963 0.732594i
\(290\) 7.59485 13.1547i 0.445985 0.772468i
\(291\) −24.8598 9.64714i −1.45731 0.565525i
\(292\) −1.13546 + 0.655556i −0.0664475 + 0.0383635i
\(293\) 8.83774 15.3074i 0.516306 0.894268i −0.483515 0.875336i \(-0.660640\pi\)
0.999821 0.0189321i \(-0.00602664\pi\)
\(294\) 8.18448 8.94507i 0.477329 0.521687i
\(295\) −15.7022 27.1970i −0.914218 1.58347i
\(296\) −5.06319 2.92323i −0.294292 0.169910i
\(297\) 15.6732 + 0.993759i 0.909453 + 0.0576637i
\(298\) −5.35107 9.26832i −0.309979 0.536899i
\(299\) −3.44718 −0.199355
\(300\) −13.0406 + 2.01662i −0.752898 + 0.116429i
\(301\) 9.13931 + 13.3597i 0.526781 + 0.770040i
\(302\) −13.8575 8.00065i −0.797411 0.460386i
\(303\) 23.4584 3.62764i 1.34765 0.208402i
\(304\) −7.12643 4.11444i −0.408729 0.235980i
\(305\) 14.4291 8.33063i 0.826206 0.477011i
\(306\) 1.46657 + 4.62843i 0.0838381 + 0.264590i
\(307\) 1.28155i 0.0731422i −0.999331 0.0365711i \(-0.988356\pi\)
0.999331 0.0365711i \(-0.0116435\pi\)
\(308\) −7.20999 3.45819i −0.410827 0.197049i
\(309\) −4.92262 1.91028i −0.280038 0.108672i
\(310\) 10.6315 + 18.4142i 0.603826 + 1.04586i
\(311\) 12.5329 0.710673 0.355336 0.934738i \(-0.384366\pi\)
0.355336 + 0.934738i \(0.384366\pi\)
\(312\) 1.75700 0.271706i 0.0994708 0.0153823i
\(313\) 8.75385i 0.494797i 0.968914 + 0.247398i \(0.0795756\pi\)
−0.968914 + 0.247398i \(0.920424\pi\)
\(314\) −11.5267 −0.650488
\(315\) −26.1499 + 10.5425i −1.47338 + 0.594005i
\(316\) −0.924134 −0.0519866
\(317\) 13.6784i 0.768256i −0.923280 0.384128i \(-0.874502\pi\)
0.923280 0.384128i \(-0.125498\pi\)
\(318\) −1.99870 + 5.15048i −0.112082 + 0.288825i
\(319\) −12.9239 −0.723599
\(320\) −1.77612 3.07634i −0.0992884 0.171973i
\(321\) 3.47465 + 22.4691i 0.193936 + 1.25410i
\(322\) 5.01677 + 7.33344i 0.279574 + 0.408676i
\(323\) 13.3177i 0.741017i
\(324\) 8.16754 + 3.78039i 0.453752 + 0.210021i
\(325\) 6.77240 3.91005i 0.375665 0.216890i
\(326\) 2.37960 + 1.37386i 0.131794 + 0.0760912i
\(327\) 6.62424 17.0701i 0.366321 0.943977i
\(328\) −0.0817920 0.0472226i −0.00451621 0.00260743i
\(329\) −13.5607 + 1.03769i −0.747626 + 0.0572097i
\(330\) 11.6498 + 14.4942i 0.641298 + 0.797880i
\(331\) −10.8972 −0.598962 −0.299481 0.954102i \(-0.596813\pi\)
−0.299481 + 0.954102i \(0.596813\pi\)
\(332\) −5.43209 9.40866i −0.298125 0.516367i
\(333\) 12.9482 + 11.8311i 0.709558 + 0.648339i
\(334\) −4.79685 2.76946i −0.262472 0.151538i
\(335\) −0.667247 1.15570i −0.0364556 0.0631429i
\(336\) −3.13504 3.34239i −0.171030 0.182342i
\(337\) 12.8090 22.1858i 0.697749 1.20854i −0.271496 0.962440i \(-0.587518\pi\)
0.969245 0.246098i \(-0.0791484\pi\)
\(338\) 10.3459 5.97319i 0.562741 0.324898i
\(339\) −3.25578 21.0537i −0.176830 1.14348i
\(340\) −2.87450 + 4.97877i −0.155891 + 0.270012i
\(341\) 9.04559 15.6674i 0.489846 0.848438i
\(342\) 18.2246 + 16.6522i 0.985473 + 0.900448i
\(343\) 18.0363 4.20631i 0.973867 0.227119i
\(344\) 5.29833 3.05899i 0.285667 0.164930i
\(345\) −3.15775 20.4198i −0.170008 1.09937i
\(346\) 11.2051i 0.602388i
\(347\) 16.7623i 0.899848i 0.893067 + 0.449924i \(0.148549\pi\)
−0.893067 + 0.449924i \(0.851451\pi\)
\(348\) −6.90471 2.67945i −0.370131 0.143634i
\(349\) 14.4455 8.34010i 0.773249 0.446435i −0.0607835 0.998151i \(-0.519360\pi\)
0.834032 + 0.551716i \(0.186027\pi\)
\(350\) −18.1742 8.71704i −0.971452 0.465945i
\(351\) −5.32298 0.337503i −0.284119 0.0180146i
\(352\) −1.51119 + 2.61745i −0.0805464 + 0.139511i
\(353\) −17.9568 + 31.1021i −0.955746 + 1.65540i −0.223093 + 0.974797i \(0.571615\pi\)
−0.732653 + 0.680603i \(0.761718\pi\)
\(354\) −11.9352 + 9.59297i −0.634350 + 0.509860i
\(355\) 43.0282 24.8424i 2.28370 1.31850i
\(356\) 2.35495 4.07888i 0.124812 0.216180i
\(357\) −2.14775 + 7.09869i −0.113671 + 0.375702i
\(358\) −1.37089 2.37445i −0.0724538 0.125494i
\(359\) 24.7248 + 14.2749i 1.30493 + 0.753399i 0.981245 0.192767i \(-0.0617461\pi\)
0.323681 + 0.946166i \(0.395079\pi\)
\(360\) 3.21897 + 10.1590i 0.169655 + 0.535424i
\(361\) 24.3573 + 42.1881i 1.28196 + 2.22043i
\(362\) −22.2899 −1.17153
\(363\) −1.16881 + 3.01192i −0.0613467 + 0.158085i
\(364\) 2.44867 + 1.17448i 0.128345 + 0.0615594i
\(365\) 4.03342 + 2.32870i 0.211119 + 0.121890i
\(366\) −5.08944 6.33210i −0.266029 0.330984i
\(367\) 0.310665 + 0.179362i 0.0162166 + 0.00936264i 0.508086 0.861306i \(-0.330353\pi\)
−0.491870 + 0.870669i \(0.663686\pi\)
\(368\) 2.90837 1.67915i 0.151609 0.0875317i
\(369\) 0.209169 + 0.191122i 0.0108889 + 0.00994942i
\(370\) 20.7681i 1.07968i
\(371\) −6.96523 + 4.76488i −0.361617 + 0.247380i
\(372\) 8.08095 6.49509i 0.418978 0.336755i
\(373\) −12.6854 21.9718i −0.656826 1.13766i −0.981433 0.191807i \(-0.938565\pi\)
0.324606 0.945849i \(-0.394768\pi\)
\(374\) 4.89143 0.252930
\(375\) 10.0929 + 12.5573i 0.521197 + 0.648455i
\(376\) 5.14045i 0.265099i
\(377\) 4.38924 0.226057
\(378\) 7.02868 + 11.8151i 0.361516 + 0.607706i
\(379\) 26.9063 1.38209 0.691043 0.722814i \(-0.257152\pi\)
0.691043 + 0.722814i \(0.257152\pi\)
\(380\) 29.2311i 1.49952i
\(381\) −0.311599 0.387680i −0.0159637 0.0198614i
\(382\) 5.13264 0.262609
\(383\) −6.28586 10.8874i −0.321192 0.556322i 0.659542 0.751668i \(-0.270750\pi\)
−0.980734 + 0.195346i \(0.937417\pi\)
\(384\) −1.35003 + 1.08509i −0.0688934 + 0.0553733i
\(385\) 2.16729 + 28.3225i 0.110455 + 1.44345i
\(386\) 15.9847i 0.813600i
\(387\) −17.4966 + 5.54399i −0.889404 + 0.281817i
\(388\) −13.3330 + 7.69782i −0.676881 + 0.390798i
\(389\) −14.0805 8.12937i −0.713909 0.412175i 0.0985980 0.995127i \(-0.468564\pi\)
−0.812507 + 0.582952i \(0.801898\pi\)
\(390\) −3.95652 4.92256i −0.200346 0.249263i
\(391\) −4.70694 2.71755i −0.238040 0.137432i
\(392\) −1.06507 6.91850i −0.0537940 0.349437i
\(393\) 0.233695 0.602212i 0.0117884 0.0303776i
\(394\) −4.72572 −0.238078
\(395\) 1.64138 + 2.84295i 0.0825866 + 0.143044i
\(396\) 6.11615 6.69367i 0.307348 0.336369i
\(397\) −12.7252 7.34692i −0.638662 0.368732i 0.145437 0.989368i \(-0.453541\pi\)
−0.784099 + 0.620636i \(0.786875\pi\)
\(398\) 1.06047 + 1.83679i 0.0531567 + 0.0920701i
\(399\) 8.58954 + 36.7182i 0.430015 + 1.83821i
\(400\) −3.80924 + 6.59779i −0.190462 + 0.329890i
\(401\) 14.4162 8.32318i 0.719909 0.415640i −0.0948099 0.995495i \(-0.530224\pi\)
0.814719 + 0.579855i \(0.196891\pi\)
\(402\) −0.507173 + 0.407642i −0.0252955 + 0.0203313i
\(403\) −3.07208 + 5.32101i −0.153031 + 0.265058i
\(404\) 6.85234 11.8686i 0.340917 0.590485i
\(405\) −2.87682 31.8405i −0.142950 1.58217i
\(406\) −6.38778 9.33756i −0.317020 0.463416i
\(407\) 15.3028 8.83510i 0.758534 0.437940i
\(408\) 2.61329 + 1.01412i 0.129377 + 0.0502064i
\(409\) 2.80886i 0.138889i 0.997586 + 0.0694446i \(0.0221227\pi\)
−0.997586 + 0.0694446i \(0.977877\pi\)
\(410\) 0.335493i 0.0165688i
\(411\) −1.86938 12.0884i −0.0922095 0.596279i
\(412\) −2.64014 + 1.52429i −0.130070 + 0.0750962i
\(413\) −23.3221 + 1.78465i −1.14761 + 0.0878169i
\(414\) −9.60429 + 3.04322i −0.472025 + 0.149566i
\(415\) −19.2962 + 33.4219i −0.947211 + 1.64062i
\(416\) 0.513232 0.888944i 0.0251633 0.0435841i
\(417\) 3.86096 + 24.9672i 0.189072 + 1.22265i
\(418\) 21.5387 12.4354i 1.05349 0.608234i
\(419\) 7.47362 12.9447i 0.365110 0.632390i −0.623684 0.781677i \(-0.714365\pi\)
0.988794 + 0.149287i \(0.0476980\pi\)
\(420\) −4.71410 + 15.5809i −0.230024 + 0.760271i
\(421\) −7.80336 13.5158i −0.380312 0.658720i 0.610794 0.791789i \(-0.290850\pi\)
−0.991107 + 0.133069i \(0.957517\pi\)
\(422\) −23.9160 13.8079i −1.16421 0.672160i
\(423\) 3.31641 15.0605i 0.161250 0.732268i
\(424\) 1.59484 + 2.76235i 0.0774524 + 0.134151i
\(425\) 12.3298 0.598083
\(426\) −15.1770 18.8826i −0.735326 0.914867i
\(427\) −0.946827 12.3733i −0.0458201 0.598786i
\(428\) 11.3681 + 6.56336i 0.549496 + 0.317252i
\(429\) −1.94398 + 5.00947i −0.0938563 + 0.241859i
\(430\) −18.8210 10.8663i −0.907629 0.524020i
\(431\) −14.0087 + 8.08792i −0.674775 + 0.389581i −0.797883 0.602812i \(-0.794047\pi\)
0.123109 + 0.992393i \(0.460714\pi\)
\(432\) 4.65538 2.30812i 0.223982 0.111049i
\(433\) 27.2499i 1.30955i −0.755824 0.654774i \(-0.772764\pi\)
0.755824 0.654774i \(-0.227236\pi\)
\(434\) 15.7907 1.20833i 0.757976 0.0580017i
\(435\) 4.02072 + 26.0003i 0.192779 + 1.24662i
\(436\) −5.28574 9.15516i −0.253141 0.438453i
\(437\) −27.6351 −1.32197
\(438\) 0.821562 2.11709i 0.0392557 0.101159i
\(439\) 33.1347i 1.58143i 0.612182 + 0.790717i \(0.290292\pi\)
−0.612182 + 0.790717i \(0.709708\pi\)
\(440\) 10.7362 0.511829
\(441\) −1.34309 + 20.9570i −0.0639568 + 0.997953i
\(442\) −1.66124 −0.0790171
\(443\) 22.2636i 1.05777i −0.848692 0.528887i \(-0.822609\pi\)
0.848692 0.528887i \(-0.177391\pi\)
\(444\) 10.0074 1.54756i 0.474932 0.0734442i
\(445\) −16.7307 −0.793111
\(446\) −10.1734 17.6209i −0.481727 0.834375i
\(447\) 17.2811 + 6.70612i 0.817366 + 0.317188i
\(448\) −2.63804 + 0.201867i −0.124636 + 0.00953733i
\(449\) 6.80819i 0.321298i −0.987012 0.160649i \(-0.948641\pi\)
0.987012 0.160649i \(-0.0513588\pi\)
\(450\) 15.4170 16.8727i 0.726763 0.795386i
\(451\) 0.247206 0.142724i 0.0116405 0.00672062i
\(452\) −10.6520 6.14993i −0.501027 0.289268i
\(453\) 27.3895 4.23555i 1.28687 0.199004i
\(454\) −3.60266 2.08000i −0.169081 0.0976192i
\(455\) −0.736060 9.61897i −0.0345070 0.450944i
\(456\) 14.0854 2.17819i 0.659611 0.102003i
\(457\) 15.2260 0.712240 0.356120 0.934440i \(-0.384099\pi\)
0.356120 + 0.934440i \(0.384099\pi\)
\(458\) −2.98482 5.16986i −0.139471 0.241572i
\(459\) −7.00218 4.65716i −0.326834 0.217378i
\(460\) −10.3313 5.96476i −0.481698 0.278108i
\(461\) 0.103381 + 0.179060i 0.00481492 + 0.00833968i 0.868423 0.495824i \(-0.165134\pi\)
−0.863608 + 0.504164i \(0.831801\pi\)
\(462\) 13.4861 3.15483i 0.627432 0.146776i
\(463\) −7.60217 + 13.1673i −0.353303 + 0.611938i −0.986826 0.161785i \(-0.948275\pi\)
0.633523 + 0.773724i \(0.281608\pi\)
\(464\) −3.70319 + 2.13804i −0.171916 + 0.0992560i
\(465\) −34.3339 13.3237i −1.59219 0.617870i
\(466\) 2.24360 3.88603i 0.103933 0.180017i
\(467\) 1.15424 1.99921i 0.0534120 0.0925123i −0.838083 0.545542i \(-0.816324\pi\)
0.891495 + 0.453030i \(0.149657\pi\)
\(468\) −2.07718 + 2.27332i −0.0960178 + 0.105084i
\(469\) −0.991047 + 0.0758366i −0.0457623 + 0.00350181i
\(470\) 15.8138 9.13009i 0.729435 0.421139i
\(471\) 15.5613 12.5075i 0.717029 0.576314i
\(472\) 8.84071i 0.406927i
\(473\) 18.4908i 0.850209i
\(474\) 1.24761 1.00277i 0.0573045 0.0460587i
\(475\) 54.2925 31.3458i 2.49111 1.43824i
\(476\) 2.41765 + 3.53408i 0.110813 + 0.161984i
\(477\) −2.89042 9.12207i −0.132343 0.417671i
\(478\) 1.74905 3.02944i 0.0799996 0.138563i
\(479\) 6.21659 10.7674i 0.284043 0.491977i −0.688334 0.725394i \(-0.741657\pi\)
0.972377 + 0.233417i \(0.0749908\pi\)
\(480\) 5.73592 + 2.22589i 0.261808 + 0.101598i
\(481\) −5.19719 + 3.00060i −0.236971 + 0.136815i
\(482\) −5.78332 + 10.0170i −0.263423 + 0.456262i
\(483\) −14.7302 4.45671i −0.670248 0.202787i
\(484\) 0.932639 + 1.61538i 0.0423927 + 0.0734263i
\(485\) 47.3622 + 27.3446i 2.15061 + 1.24165i
\(486\) −15.1285 + 3.75888i −0.686242 + 0.170506i
\(487\) −18.6503 32.3033i −0.845128 1.46380i −0.885510 0.464620i \(-0.846191\pi\)
0.0403829 0.999184i \(-0.487142\pi\)
\(488\) −4.69034 −0.212322
\(489\) −4.70330 + 0.727325i −0.212690 + 0.0328908i
\(490\) −19.3920 + 15.5646i −0.876039 + 0.703138i
\(491\) −11.8191 6.82377i −0.533389 0.307952i 0.209006 0.977914i \(-0.432977\pi\)
−0.742396 + 0.669962i \(0.766310\pi\)
\(492\) 0.161662 0.0249997i 0.00728830 0.00112707i
\(493\) 5.99328 + 3.46022i 0.269924 + 0.155840i
\(494\) −7.31502 + 4.22333i −0.329118 + 0.190017i
\(495\) −31.4550 6.92657i −1.41380 0.311326i
\(496\) 5.98576i 0.268768i
\(497\) −2.82348 36.8978i −0.126651 1.65509i
\(498\) 17.5427 + 6.80766i 0.786109 + 0.305059i
\(499\) 10.5010 + 18.1882i 0.470088 + 0.814216i 0.999415 0.0342021i \(-0.0108890\pi\)
−0.529327 + 0.848418i \(0.677556\pi\)
\(500\) 9.30148 0.415975
\(501\) 9.48100 1.46616i 0.423580 0.0655030i
\(502\) 26.7426i 1.19358i
\(503\) −22.3018 −0.994388 −0.497194 0.867639i \(-0.665636\pi\)
−0.497194 + 0.867639i \(0.665636\pi\)
\(504\) 7.85918 + 1.11052i 0.350076 + 0.0494667i
\(505\) −48.6824 −2.16634
\(506\) 10.1500i 0.451224i
\(507\) −7.48577 + 19.2902i −0.332455 + 0.856706i
\(508\) −0.287164 −0.0127408
\(509\) −10.9589 18.9814i −0.485746 0.841337i 0.514120 0.857719i \(-0.328119\pi\)
−0.999866 + 0.0163813i \(0.994785\pi\)
\(510\) −1.52176 9.84057i −0.0673847 0.435748i
\(511\) 2.86304 1.95859i 0.126653 0.0866430i
\(512\) 1.00000i 0.0441942i
\(513\) −42.6729 2.70567i −1.88405 0.119458i
\(514\) −4.51396 + 2.60614i −0.199102 + 0.114952i
\(515\) 9.37844 + 5.41465i 0.413264 + 0.238598i
\(516\) −3.83362 + 9.87890i −0.168766 + 0.434894i
\(517\) −13.4549 7.76818i −0.591745 0.341644i
\(518\) 13.9470 + 6.68951i 0.612796 + 0.293920i
\(519\) −12.1585 15.1272i −0.533699 0.664009i
\(520\) −3.64626 −0.159899
\(521\) 13.3839 + 23.1816i 0.586358 + 1.01560i 0.994705 + 0.102775i \(0.0327723\pi\)
−0.408346 + 0.912827i \(0.633894\pi\)
\(522\) 12.2290 3.87489i 0.535249 0.169599i
\(523\) 14.8576 + 8.57805i 0.649678 + 0.375092i 0.788333 0.615249i \(-0.210945\pi\)
−0.138655 + 0.990341i \(0.544278\pi\)
\(524\) −0.186474 0.322983i −0.00814617 0.0141096i
\(525\) 33.9945 7.95238i 1.48364 0.347070i
\(526\) 7.51869 13.0228i 0.327831 0.567819i
\(527\) −8.38954 + 4.84370i −0.365454 + 0.210995i
\(528\) −0.800023 5.17341i −0.0348165 0.225144i
\(529\) −5.86091 + 10.1514i −0.254822 + 0.441365i
\(530\) 5.66528 9.81255i 0.246084 0.426230i
\(531\) 5.70367 25.9016i 0.247518 1.12403i
\(532\) 19.6304 + 9.41547i 0.851084 + 0.408212i
\(533\) −0.0839566 + 0.0484723i −0.00363656 + 0.00209957i
\(534\) 1.24671 + 8.06194i 0.0539505 + 0.348874i
\(535\) 46.6294i 2.01596i
\(536\) 0.375675i 0.0162267i
\(537\) 4.42724 + 1.71804i 0.191049 + 0.0741390i
\(538\) 20.0323 11.5657i 0.863654 0.498631i
\(539\) 19.7183 + 7.66737i 0.849329 + 0.330257i
\(540\) −15.3691 10.2220i −0.661381 0.439886i
\(541\) −14.4091 + 24.9573i −0.619496 + 1.07300i 0.370081 + 0.928999i \(0.379330\pi\)
−0.989578 + 0.144000i \(0.954004\pi\)
\(542\) −4.95748 + 8.58661i −0.212942 + 0.368827i
\(543\) 30.0920 24.1865i 1.29137 1.03794i
\(544\) 1.40158 0.809204i 0.0600924 0.0346943i
\(545\) −18.7763 + 32.5214i −0.804286 + 1.39306i
\(546\) −4.58020 + 1.07145i −0.196014 + 0.0458539i
\(547\) −16.4045 28.4135i −0.701407 1.21487i −0.967972 0.251056i \(-0.919222\pi\)
0.266565 0.963817i \(-0.414111\pi\)
\(548\) −6.11607 3.53111i −0.261265 0.150842i
\(549\) 13.7418 + 3.02602i 0.586485 + 0.129147i
\(550\) −11.5129 19.9410i −0.490913 0.850286i
\(551\) 35.1874 1.49903
\(552\) −2.10436 + 5.42275i −0.0895676 + 0.230808i
\(553\) 2.43790 0.186552i 0.103670 0.00793302i
\(554\) 7.44299 + 4.29721i 0.316223 + 0.182571i
\(555\) −22.5353 28.0376i −0.956569 1.19013i
\(556\) 12.6320 + 7.29308i 0.535715 + 0.309295i
\(557\) −40.0544 + 23.1254i −1.69716 + 0.979855i −0.748725 + 0.662880i \(0.769334\pi\)
−0.948434 + 0.316975i \(0.897333\pi\)
\(558\) −3.86177 + 17.5371i −0.163482 + 0.742405i
\(559\) 6.27990i 0.265611i
\(560\) 5.30650 + 7.75696i 0.224240 + 0.327791i
\(561\) −6.60357 + 5.30764i −0.278803 + 0.224089i
\(562\) −10.3639 17.9508i −0.437174 0.757208i
\(563\) 1.97727 0.0833322 0.0416661 0.999132i \(-0.486733\pi\)
0.0416661 + 0.999132i \(0.486733\pi\)
\(564\) −5.57785 6.93976i −0.234870 0.292217i
\(565\) 43.6922i 1.83814i
\(566\) −2.36710 −0.0994966
\(567\) −22.3094 8.32405i −0.936908 0.349577i
\(568\) −13.9868 −0.586874
\(569\) 32.9901i 1.38302i 0.722369 + 0.691508i \(0.243053\pi\)
−0.722369 + 0.691508i \(0.756947\pi\)
\(570\) −31.7183 39.4628i −1.32853 1.65291i
\(571\) 14.8065 0.619634 0.309817 0.950796i \(-0.399732\pi\)
0.309817 + 0.950796i \(0.399732\pi\)
\(572\) 1.55118 + 2.68672i 0.0648580 + 0.112337i
\(573\) −6.92921 + 5.56937i −0.289472 + 0.232664i
\(574\) 0.225303 + 0.108064i 0.00940397 + 0.00451050i
\(575\) 25.5851i 1.06697i
\(576\) 0.645160 2.92981i 0.0268817 0.122075i
\(577\) −15.9505 + 9.20901i −0.664027 + 0.383376i −0.793810 0.608166i \(-0.791905\pi\)
0.129783 + 0.991542i \(0.458572\pi\)
\(578\) 12.4541 + 7.19038i 0.518022 + 0.299080i
\(579\) −17.3448 21.5798i −0.720827 0.896827i
\(580\) 13.1547 + 7.59485i 0.546218 + 0.315359i
\(581\) 16.2294 + 23.7239i 0.673308 + 0.984231i
\(582\) 9.64714 24.8598i 0.399887 1.03047i
\(583\) −9.64041 −0.399265
\(584\) −0.655556 1.13546i −0.0271271 0.0469855i
\(585\) 10.6828 + 2.35242i 0.441681 + 0.0972605i
\(586\) 15.3074 + 8.83774i 0.632343 + 0.365084i
\(587\) 23.1065 + 40.0216i 0.953707 + 1.65187i 0.737301 + 0.675565i \(0.236100\pi\)
0.216406 + 0.976304i \(0.430567\pi\)
\(588\) 8.94507 + 8.18448i 0.368888 + 0.337522i
\(589\) −24.6281 + 42.6571i −1.01478 + 1.75765i
\(590\) 27.1970 15.7022i 1.11968 0.646450i
\(591\) 6.37986 5.12783i 0.262432 0.210931i
\(592\) 2.92323 5.06319i 0.120144 0.208096i
\(593\) 6.80465 11.7860i 0.279434 0.483993i −0.691810 0.722079i \(-0.743187\pi\)
0.971244 + 0.238086i \(0.0765200\pi\)
\(594\) −0.993759 + 15.6732i −0.0407744 + 0.643080i
\(595\) 6.57798 13.7145i 0.269671 0.562238i
\(596\) 9.26832 5.35107i 0.379645 0.219188i
\(597\) −3.42476 1.32902i −0.140166 0.0543930i
\(598\) 3.44718i 0.140965i
\(599\) 23.5806i 0.963477i 0.876315 + 0.481739i \(0.159995\pi\)
−0.876315 + 0.481739i \(0.840005\pi\)
\(600\) −2.01662 13.0406i −0.0823280 0.532380i
\(601\) −31.0765 + 17.9420i −1.26764 + 0.731871i −0.974540 0.224212i \(-0.928019\pi\)
−0.293097 + 0.956083i \(0.594686\pi\)
\(602\) −13.3597 + 9.13931i −0.544501 + 0.372490i
\(603\) 0.242371 1.10066i 0.00987010 0.0448222i
\(604\) 8.00065 13.8575i 0.325542 0.563855i
\(605\) 3.31297 5.73823i 0.134691 0.233292i
\(606\) 3.62764 + 23.4584i 0.147363 + 0.952931i
\(607\) −16.8502 + 9.72845i −0.683928 + 0.394866i −0.801333 0.598218i \(-0.795876\pi\)
0.117406 + 0.993084i \(0.462542\pi\)
\(608\) 4.11444 7.12643i 0.166863 0.289015i
\(609\) 18.7558 + 5.67467i 0.760023 + 0.229949i
\(610\) 8.33063 + 14.4291i 0.337297 + 0.584216i
\(611\) 4.56958 + 2.63825i 0.184865 + 0.106732i
\(612\) −4.62843 + 1.46657i −0.187093 + 0.0592825i
\(613\) −21.1210 36.5827i −0.853071 1.47756i −0.878423 0.477883i \(-0.841404\pi\)
0.0253526 0.999679i \(-0.491929\pi\)
\(614\) 1.28155 0.0517193
\(615\) −0.364040 0.452926i −0.0146795 0.0182637i
\(616\) 3.45819 7.20999i 0.139334 0.290499i
\(617\) 9.63660 + 5.56369i 0.387955 + 0.223986i 0.681274 0.732029i \(-0.261426\pi\)
−0.293319 + 0.956015i \(0.594760\pi\)
\(618\) 1.91028 4.92262i 0.0768428 0.198017i
\(619\) 8.71387 + 5.03096i 0.350240 + 0.202211i 0.664791 0.747029i \(-0.268521\pi\)
−0.314551 + 0.949241i \(0.601854\pi\)
\(620\) −18.4142 + 10.6315i −0.739533 + 0.426969i
\(621\) 9.66391 14.5300i 0.387799 0.583067i
\(622\) 12.5329i 0.502522i
\(623\) −5.38904 + 11.2356i −0.215907 + 0.450147i
\(624\) 0.271706 + 1.75700i 0.0108769 + 0.0703365i
\(625\) 2.52560 + 4.37447i 0.101024 + 0.174979i
\(626\) −8.75385 −0.349874
\(627\) −15.5844 + 40.1595i −0.622380 + 1.60382i
\(628\) 11.5267i 0.459964i
\(629\) −9.46198 −0.377274
\(630\) −10.5425 26.1499i −0.420025 1.04184i
\(631\) 10.3528 0.412139 0.206070 0.978537i \(-0.433933\pi\)
0.206070 + 0.978537i \(0.433933\pi\)
\(632\) 0.924134i 0.0367601i
\(633\) 47.2702 7.30994i 1.87882 0.290544i
\(634\) 13.6784 0.543239
\(635\) 0.510039 + 0.883413i 0.0202403 + 0.0350572i
\(636\) −5.15048 1.99870i −0.204230 0.0792538i
\(637\) −6.69679 2.60401i −0.265336 0.103175i
\(638\) 12.9239i 0.511662i
\(639\) 40.9787 + 9.02374i 1.62109 + 0.356974i
\(640\) 3.07634 1.77612i 0.121603 0.0702075i
\(641\) −23.0678 13.3182i −0.911123 0.526037i −0.0303310 0.999540i \(-0.509656\pi\)
−0.880792 + 0.473503i \(0.842989\pi\)
\(642\) −22.4691 + 3.47465i −0.886783 + 0.137134i
\(643\) 40.0493 + 23.1225i 1.57939 + 0.911861i 0.994944 + 0.100429i \(0.0320214\pi\)
0.584446 + 0.811433i \(0.301312\pi\)
\(644\) −7.33344 + 5.01677i −0.288978 + 0.197688i
\(645\) 37.1998 5.75264i 1.46474 0.226510i
\(646\) −13.3177 −0.523978
\(647\) −15.7032 27.1987i −0.617355 1.06929i −0.989966 0.141303i \(-0.954871\pi\)
0.372611 0.927988i \(-0.378463\pi\)
\(648\) −3.78039 + 8.16754i −0.148508 + 0.320851i
\(649\) −23.1401 13.3600i −0.908329 0.524424i
\(650\) 3.91005 + 6.77240i 0.153365 + 0.265635i
\(651\) −20.0067 + 18.7656i −0.784125 + 0.735481i
\(652\) −1.37386 + 2.37960i −0.0538046 + 0.0931923i
\(653\) 39.9639 23.0732i 1.56391 0.902924i 0.567054 0.823681i \(-0.308083\pi\)
0.996855 0.0792429i \(-0.0252503\pi\)
\(654\) 17.0701 + 6.62424i 0.667493 + 0.259028i
\(655\) −0.662404 + 1.14732i −0.0258823 + 0.0448294i
\(656\) 0.0472226 0.0817920i 0.00184373 0.00319344i
\(657\) 1.18810 + 3.74960i 0.0463522 + 0.146286i
\(658\) −1.03769 13.5607i −0.0404534 0.528652i
\(659\) 1.18052 0.681575i 0.0459867 0.0265504i −0.476830 0.878995i \(-0.658214\pi\)
0.522817 + 0.852445i \(0.324881\pi\)
\(660\) −14.4942 + 11.6498i −0.564186 + 0.453466i
\(661\) 7.20404i 0.280205i −0.990137 0.140102i \(-0.955257\pi\)
0.990137 0.140102i \(-0.0447431\pi\)
\(662\) 10.8972i 0.423530i
\(663\) 2.24272 1.80259i 0.0871001 0.0700069i
\(664\) 9.40866 5.43209i 0.365127 0.210806i
\(665\) −5.90080 77.1127i −0.228823 2.99030i
\(666\) −11.8311 + 12.9482i −0.458445 + 0.501733i
\(667\) −7.18018 + 12.4364i −0.278018 + 0.481541i
\(668\) 2.76946 4.79685i 0.107154 0.185596i
\(669\) 32.8547 + 12.7497i 1.27024 + 0.492931i
\(670\) 1.15570 0.667247i 0.0446488 0.0257780i
\(671\) 7.08797 12.2767i 0.273628 0.473938i
\(672\) 3.34239 3.13504i 0.128935 0.120937i
\(673\) 19.4709 + 33.7246i 0.750548 + 1.29999i 0.947558 + 0.319585i \(0.103544\pi\)
−0.197010 + 0.980402i \(0.563123\pi\)
\(674\) 22.1858 + 12.8090i 0.854565 + 0.493383i
\(675\) −2.50496 + 39.5074i −0.0964161 + 1.52064i
\(676\) 5.97319 + 10.3459i 0.229738 + 0.397918i
\(677\) 2.41011 0.0926280 0.0463140 0.998927i \(-0.485253\pi\)
0.0463140 + 0.998927i \(0.485253\pi\)
\(678\) 21.0537 3.25578i 0.808563 0.125037i
\(679\) 33.6191 22.9986i 1.29018 0.882607i
\(680\) −4.97877 2.87450i −0.190927 0.110232i
\(681\) 7.12069 1.10115i 0.272865 0.0421963i
\(682\) 15.6674 + 9.04559i 0.599937 + 0.346374i
\(683\) 24.5302 14.1625i 0.938624 0.541915i 0.0490952 0.998794i \(-0.484366\pi\)
0.889529 + 0.456879i \(0.151033\pi\)
\(684\) −16.6522 + 18.2246i −0.636713 + 0.696834i
\(685\) 25.0868i 0.958517i
\(686\) 4.20631 + 18.0363i 0.160598 + 0.688628i
\(687\) 9.63935 + 3.74066i 0.367764 + 0.142715i
\(688\) 3.05899 + 5.29833i 0.116623 + 0.201997i
\(689\) 3.27410 0.124733
\(690\) 20.4198 3.15775i 0.777369 0.120214i
\(691\) 3.41022i 0.129731i −0.997894 0.0648655i \(-0.979338\pi\)
0.997894 0.0648655i \(-0.0206618\pi\)
\(692\) −11.2051 −0.425953
\(693\) −14.7834 + 18.8928i −0.561576 + 0.717678i
\(694\) −16.7623 −0.636289
\(695\) 51.8136i 1.96540i
\(696\) 2.67945 6.90471i 0.101564 0.261722i
\(697\) −0.152851 −0.00578964
\(698\) 8.34010 + 14.4455i 0.315678 + 0.546769i
\(699\) 1.18776 + 7.68076i 0.0449254 + 0.290513i
\(700\) 8.71704 18.1742i 0.329473 0.686920i
\(701\) 51.4943i 1.94491i −0.233087 0.972456i \(-0.574883\pi\)
0.233087 0.972456i \(-0.425117\pi\)
\(702\) 0.337503 5.32298i 0.0127382 0.200903i
\(703\) −41.6644 + 24.0550i −1.57140 + 0.907251i
\(704\) −2.61745 1.51119i −0.0986488 0.0569549i
\(705\) −11.4421 + 29.4853i −0.430934 + 1.11048i
\(706\) −31.1021 17.9568i −1.17054 0.675814i
\(707\) −15.6809 + 32.6931i −0.589739 + 1.22955i
\(708\) −9.59297 11.9352i −0.360526 0.448553i
\(709\) 10.0844 0.378726 0.189363 0.981907i \(-0.439358\pi\)
0.189363 + 0.981907i \(0.439358\pi\)
\(710\) 24.8424 + 43.0282i 0.932317 + 1.61482i
\(711\) −0.596214 + 2.70753i −0.0223598 + 0.101540i
\(712\) 4.07888 + 2.35495i 0.152863 + 0.0882553i
\(713\) −10.0510 17.4088i −0.376412 0.651965i
\(714\) −7.09869 2.14775i −0.265662 0.0803774i
\(715\) 5.51017 9.54389i 0.206069 0.356921i
\(716\) 2.37445 1.37089i 0.0887375 0.0512326i
\(717\) 0.925948 + 5.98770i 0.0345802 + 0.223615i
\(718\) −14.2749 + 24.7248i −0.532734 + 0.922722i
\(719\) −15.9584 + 27.6408i −0.595148 + 1.03083i 0.398378 + 0.917221i \(0.369573\pi\)
−0.993526 + 0.113605i \(0.963760\pi\)
\(720\) −10.1590 + 3.21897i −0.378602 + 0.119964i
\(721\) 6.65709 4.55409i 0.247923 0.169603i
\(722\) −42.1881 + 24.3573i −1.57008 + 0.906485i
\(723\) −3.06170 19.7987i −0.113866 0.736321i
\(724\) 22.2899i 0.828397i
\(725\) 32.5772i 1.20989i
\(726\) −3.01192 1.16881i −0.111783 0.0433787i
\(727\) −17.9336 + 10.3540i −0.665120 + 0.384007i −0.794225 0.607624i \(-0.792123\pi\)
0.129105 + 0.991631i \(0.458790\pi\)
\(728\) −1.17448 + 2.44867i −0.0435290 + 0.0907539i
\(729\) 16.3452 21.4904i 0.605377 0.795939i
\(730\) −2.32870 + 4.03342i −0.0861889 + 0.149284i
\(731\) 4.95070 8.57487i 0.183108 0.317153i
\(732\) 6.33210 5.08944i 0.234041 0.188111i
\(733\) 7.69996 4.44558i 0.284405 0.164201i −0.351011 0.936371i \(-0.614162\pi\)
0.635416 + 0.772170i \(0.280829\pi\)
\(734\) −0.179362 + 0.310665i −0.00662038 + 0.0114668i
\(735\) 9.29069 42.0547i 0.342692 1.55121i
\(736\) 1.67915 + 2.90837i 0.0618943 + 0.107204i
\(737\) −0.983312 0.567715i −0.0362207 0.0209121i
\(738\) −0.191122 + 0.209169i −0.00703530 + 0.00769960i
\(739\) −16.3882 28.3851i −0.602848 1.04416i −0.992388 0.123154i \(-0.960699\pi\)
0.389539 0.921010i \(-0.372634\pi\)
\(740\) −20.7681 −0.763451
\(741\) 5.29280 13.6391i 0.194436 0.501044i
\(742\) −4.76488 6.96523i −0.174924 0.255702i
\(743\) −6.68055 3.85702i −0.245086 0.141500i 0.372426 0.928062i \(-0.378526\pi\)
−0.617512 + 0.786562i \(0.711859\pi\)
\(744\) 6.49509 + 8.08095i 0.238121 + 0.296262i
\(745\) −32.9234 19.0083i −1.20622 0.696411i
\(746\) 21.9718 12.6854i 0.804445 0.464446i
\(747\) −31.0701 + 9.84490i −1.13680 + 0.360206i
\(748\) 4.89143i 0.178848i
\(749\) −31.3143 15.0196i −1.14420 0.548803i
\(750\) −12.5573 + 10.0929i −0.458527 + 0.368542i
\(751\) −15.3804 26.6397i −0.561239 0.972095i −0.997389 0.0722207i \(-0.976991\pi\)
0.436149 0.899874i \(-0.356342\pi\)
\(752\) −5.14045 −0.187453
\(753\) −29.0181 36.1033i −1.05748 1.31568i
\(754\) 4.38924i 0.159847i
\(755\) −56.8406 −2.06864
\(756\) −11.8151 + 7.02868i −0.429713 + 0.255631i
\(757\) 46.4611 1.68866 0.844328 0.535827i \(-0.180000\pi\)
0.844328 + 0.535827i \(0.180000\pi\)
\(758\) 26.9063i 0.977282i
\(759\) −11.0137 13.7028i −0.399772 0.497381i
\(760\) −29.2311 −1.06032
\(761\) −18.5959 32.2090i −0.674099 1.16757i −0.976731 0.214467i \(-0.931199\pi\)
0.302632 0.953107i \(-0.402135\pi\)
\(762\) 0.387680 0.311599i 0.0140442 0.0112880i
\(763\) 15.7921 + 23.0847i 0.571713 + 0.835721i
\(764\) 5.13264i 0.185692i
\(765\) 12.7323 + 11.6338i 0.460338 + 0.420622i
\(766\) 10.8874 6.28586i 0.393379 0.227117i
\(767\) 7.85890 + 4.53734i 0.283768 + 0.163834i
\(768\) −1.08509 1.35003i −0.0391548 0.0487150i
\(769\) −12.2312 7.06166i −0.441067 0.254650i 0.262983 0.964800i \(-0.415294\pi\)
−0.704050 + 0.710150i \(0.748627\pi\)
\(770\) −28.3225 + 2.16729i −1.02067 + 0.0781037i
\(771\) 3.26609 8.41642i