Properties

Label 144.2.u.a.11.15
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.15
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.688374 - 1.23537i) q^{2} +(1.10465 + 1.33407i) q^{3} +(-1.05228 - 1.70079i) q^{4} +(0.664471 + 0.178044i) q^{5} +(2.40849 - 0.446316i) q^{6} +(0.645693 - 1.11837i) q^{7} +(-2.82548 + 0.129179i) q^{8} +(-0.559489 + 2.94737i) q^{9} +O(q^{10})\) \(q+(0.688374 - 1.23537i) q^{2} +(1.10465 + 1.33407i) q^{3} +(-1.05228 - 1.70079i) q^{4} +(0.664471 + 0.178044i) q^{5} +(2.40849 - 0.446316i) q^{6} +(0.645693 - 1.11837i) q^{7} +(-2.82548 + 0.129179i) q^{8} +(-0.559489 + 2.94737i) q^{9} +(0.677355 - 0.698307i) q^{10} +(3.21069 - 0.860301i) q^{11} +(1.10657 - 3.28261i) q^{12} +(-4.74727 - 1.27203i) q^{13} +(-0.937128 - 1.56753i) q^{14} +(0.496485 + 1.08313i) q^{15} +(-1.78540 + 3.57943i) q^{16} +5.58523i q^{17} +(3.25595 + 2.72007i) q^{18} +(-2.49649 - 2.49649i) q^{19} +(-0.396395 - 1.31748i) q^{20} +(2.20525 - 0.374013i) q^{21} +(1.14736 - 4.55860i) q^{22} +(-2.36529 + 1.36560i) q^{23} +(-3.29350 - 3.62669i) q^{24} +(-3.92031 - 2.26339i) q^{25} +(-4.83933 + 4.98901i) q^{26} +(-4.55004 + 2.50942i) q^{27} +(-2.58157 + 0.0786549i) q^{28} +(-2.95682 + 0.792277i) q^{29} +(1.67983 + 0.132254i) q^{30} +(5.28160 - 3.04933i) q^{31} +(3.19291 + 4.66962i) q^{32} +(4.69439 + 3.33295i) q^{33} +(6.89983 + 3.84472i) q^{34} +(0.628165 - 0.628165i) q^{35} +(5.60160 - 2.14989i) q^{36} +(0.507420 + 0.507420i) q^{37} +(-4.80260 + 1.36557i) q^{38} +(-3.54711 - 7.73835i) q^{39} +(-1.90045 - 0.417225i) q^{40} +(4.89892 + 8.48518i) q^{41} +(1.05599 - 2.98177i) q^{42} +(0.254540 + 0.949956i) q^{43} +(-4.84175 - 4.55544i) q^{44} +(-0.896527 + 1.85883i) q^{45} +(0.0588204 + 3.86205i) q^{46} +(6.13774 - 10.6309i) q^{47} +(-6.74746 + 1.57218i) q^{48} +(2.66616 + 4.61793i) q^{49} +(-5.49476 + 3.28497i) q^{50} +(-7.45109 + 6.16973i) q^{51} +(2.83202 + 9.41267i) q^{52} +(-0.601793 + 0.601793i) q^{53} +(-0.0320640 + 7.34840i) q^{54} +2.28658 q^{55} +(-1.67992 + 3.24335i) q^{56} +(0.572741 - 6.08824i) q^{57} +(-1.05664 + 4.19815i) q^{58} +(1.28003 - 4.77715i) q^{59} +(1.31974 - 1.98418i) q^{60} +(-2.90167 - 10.8292i) q^{61} +(-0.131344 - 8.62382i) q^{62} +(2.93500 + 2.52881i) q^{63} +(7.96663 - 0.729984i) q^{64} +(-2.92795 - 1.69045i) q^{65} +(7.34893 - 3.50500i) q^{66} +(-0.0295686 + 0.110351i) q^{67} +(9.49932 - 5.87724i) q^{68} +(-4.43463 - 1.64695i) q^{69} +(-0.343604 - 1.20843i) q^{70} -0.0447904i q^{71} +(1.20008 - 8.39999i) q^{72} -13.2931i q^{73} +(0.976146 - 0.277557i) q^{74} +(-1.31105 - 7.73022i) q^{75} +(-1.61900 + 6.87302i) q^{76} +(1.11098 - 4.14624i) q^{77} +(-12.0015 - 0.944878i) q^{78} +(2.50052 + 1.44368i) q^{79} +(-1.82364 + 2.06055i) q^{80} +(-8.37394 - 3.29804i) q^{81} +(13.8546 - 0.211011i) q^{82} +(1.01705 + 3.79568i) q^{83} +(-2.95667 - 3.35712i) q^{84} +(-0.994419 + 3.71122i) q^{85} +(1.34877 + 0.339473i) q^{86} +(-4.32321 - 3.06941i) q^{87} +(-8.96058 + 2.84551i) q^{88} +12.7362 q^{89} +(1.67919 + 2.38711i) q^{90} +(-4.48788 + 4.48788i) q^{91} +(4.81156 + 2.58587i) q^{92} +(9.90236 + 3.67758i) q^{93} +(-8.90802 - 14.9004i) q^{94} +(-1.21436 - 2.10333i) q^{95} +(-2.70255 + 9.41787i) q^{96} +(4.41066 - 7.63949i) q^{97} +(7.54017 - 0.114840i) q^{98} +(0.739279 + 9.94440i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.688374 1.23537i 0.486754 0.873539i
\(3\) 1.10465 + 1.33407i 0.637771 + 0.770226i
\(4\) −1.05228 1.70079i −0.526142 0.850397i
\(5\) 0.664471 + 0.178044i 0.297161 + 0.0796239i 0.404319 0.914618i \(-0.367509\pi\)
−0.107158 + 0.994242i \(0.534175\pi\)
\(6\) 2.40849 0.446316i 0.983260 0.182208i
\(7\) 0.645693 1.11837i 0.244049 0.422705i −0.717815 0.696234i \(-0.754858\pi\)
0.961864 + 0.273529i \(0.0881909\pi\)
\(8\) −2.82548 + 0.129179i −0.998957 + 0.0456717i
\(9\) −0.559489 + 2.94737i −0.186496 + 0.982456i
\(10\) 0.677355 0.698307i 0.214199 0.220824i
\(11\) 3.21069 0.860301i 0.968058 0.259390i 0.260051 0.965595i \(-0.416261\pi\)
0.708008 + 0.706205i \(0.249594\pi\)
\(12\) 1.10657 3.28261i 0.319440 0.947607i
\(13\) −4.74727 1.27203i −1.31666 0.352797i −0.468933 0.883234i \(-0.655361\pi\)
−0.847725 + 0.530437i \(0.822028\pi\)
\(14\) −0.937128 1.56753i −0.250458 0.418940i
\(15\) 0.496485 + 1.08313i 0.128192 + 0.279663i
\(16\) −1.78540 + 3.57943i −0.446350 + 0.894859i
\(17\) 5.58523i 1.35462i 0.735699 + 0.677308i \(0.236854\pi\)
−0.735699 + 0.677308i \(0.763146\pi\)
\(18\) 3.25595 + 2.72007i 0.767436 + 0.641126i
\(19\) −2.49649 2.49649i −0.572733 0.572733i 0.360158 0.932891i \(-0.382723\pi\)
−0.932891 + 0.360158i \(0.882723\pi\)
\(20\) −0.396395 1.31748i −0.0886366 0.294598i
\(21\) 2.20525 0.374013i 0.481226 0.0816163i
\(22\) 1.14736 4.55860i 0.244618 0.971896i
\(23\) −2.36529 + 1.36560i −0.493197 + 0.284747i −0.725900 0.687801i \(-0.758576\pi\)
0.232703 + 0.972548i \(0.425243\pi\)
\(24\) −3.29350 3.62669i −0.672283 0.740294i
\(25\) −3.92031 2.26339i −0.784061 0.452678i
\(26\) −4.83933 + 4.98901i −0.949070 + 0.978426i
\(27\) −4.55004 + 2.50942i −0.875655 + 0.482937i
\(28\) −2.58157 + 0.0786549i −0.487872 + 0.0148644i
\(29\) −2.95682 + 0.792277i −0.549067 + 0.147122i −0.522679 0.852530i \(-0.675067\pi\)
−0.0263884 + 0.999652i \(0.508401\pi\)
\(30\) 1.67983 + 0.132254i 0.306694 + 0.0241461i
\(31\) 5.28160 3.04933i 0.948604 0.547677i 0.0559568 0.998433i \(-0.482179\pi\)
0.892647 + 0.450757i \(0.148846\pi\)
\(32\) 3.19291 + 4.66962i 0.564432 + 0.825480i
\(33\) 4.69439 + 3.33295i 0.817189 + 0.580192i
\(34\) 6.89983 + 3.84472i 1.18331 + 0.659365i
\(35\) 0.628165 0.628165i 0.106179 0.106179i
\(36\) 5.60160 2.14989i 0.933601 0.358315i
\(37\) 0.507420 + 0.507420i 0.0834193 + 0.0834193i 0.747585 0.664166i \(-0.231213\pi\)
−0.664166 + 0.747585i \(0.731213\pi\)
\(38\) −4.80260 + 1.36557i −0.779085 + 0.221525i
\(39\) −3.54711 7.73835i −0.567992 1.23913i
\(40\) −1.90045 0.417225i −0.300487 0.0659690i
\(41\) 4.89892 + 8.48518i 0.765083 + 1.32516i 0.940203 + 0.340616i \(0.110635\pi\)
−0.175120 + 0.984547i \(0.556031\pi\)
\(42\) 1.05599 2.98177i 0.162944 0.460097i
\(43\) 0.254540 + 0.949956i 0.0388170 + 0.144867i 0.982615 0.185657i \(-0.0594413\pi\)
−0.943798 + 0.330524i \(0.892775\pi\)
\(44\) −4.84175 4.55544i −0.729921 0.686758i
\(45\) −0.896527 + 1.85883i −0.133646 + 0.277097i
\(46\) 0.0588204 + 3.86205i 0.00867260 + 0.569428i
\(47\) 6.13774 10.6309i 0.895281 1.55067i 0.0618250 0.998087i \(-0.480308\pi\)
0.833456 0.552586i \(-0.186359\pi\)
\(48\) −6.74746 + 1.57218i −0.973912 + 0.226925i
\(49\) 2.66616 + 4.61793i 0.380880 + 0.659704i
\(50\) −5.49476 + 3.28497i −0.777076 + 0.464565i
\(51\) −7.45109 + 6.16973i −1.04336 + 0.863935i
\(52\) 2.83202 + 9.41267i 0.392731 + 1.30530i
\(53\) −0.601793 + 0.601793i −0.0826626 + 0.0826626i −0.747229 0.664567i \(-0.768616\pi\)
0.664567 + 0.747229i \(0.268616\pi\)
\(54\) −0.0320640 + 7.34840i −0.00436336 + 0.999990i
\(55\) 2.28658 0.308322
\(56\) −1.67992 + 3.24335i −0.224489 + 0.433410i
\(57\) 0.572741 6.08824i 0.0758614 0.806407i
\(58\) −1.05664 + 4.19815i −0.138744 + 0.551244i
\(59\) 1.28003 4.77715i 0.166646 0.621932i −0.831178 0.556006i \(-0.812333\pi\)
0.997824 0.0659263i \(-0.0210002\pi\)
\(60\) 1.31974 1.98418i 0.170377 0.256156i
\(61\) −2.90167 10.8292i −0.371520 1.38653i −0.858363 0.513043i \(-0.828518\pi\)
0.486842 0.873490i \(-0.338149\pi\)
\(62\) −0.131344 8.62382i −0.0166807 1.09523i
\(63\) 2.93500 + 2.52881i 0.369775 + 0.318600i
\(64\) 7.96663 0.729984i 0.995828 0.0912480i
\(65\) −2.92795 1.69045i −0.363167 0.209675i
\(66\) 7.34893 3.50500i 0.904590 0.431436i
\(67\) −0.0295686 + 0.110351i −0.00361238 + 0.0134816i −0.967708 0.252072i \(-0.918888\pi\)
0.964096 + 0.265554i \(0.0855547\pi\)
\(68\) 9.49932 5.87724i 1.15196 0.712720i
\(69\) −4.43463 1.64695i −0.533866 0.198269i
\(70\) −0.343604 1.20843i −0.0410686 0.144435i
\(71\) 0.0447904i 0.00531565i −0.999996 0.00265782i \(-0.999154\pi\)
0.999996 0.00265782i \(-0.000846013\pi\)
\(72\) 1.20008 8.39999i 0.141431 0.989948i
\(73\) 13.2931i 1.55585i −0.628360 0.777923i \(-0.716274\pi\)
0.628360 0.777923i \(-0.283726\pi\)
\(74\) 0.976146 0.277557i 0.113475 0.0322654i
\(75\) −1.31105 7.73022i −0.151387 0.892609i
\(76\) −1.61900 + 6.87302i −0.185712 + 0.788389i
\(77\) 1.11098 4.14624i 0.126608 0.472507i
\(78\) −12.0015 0.944878i −1.35890 0.106986i
\(79\) 2.50052 + 1.44368i 0.281331 + 0.162426i 0.634026 0.773312i \(-0.281401\pi\)
−0.352695 + 0.935738i \(0.614735\pi\)
\(80\) −1.82364 + 2.06055i −0.203890 + 0.230377i
\(81\) −8.37394 3.29804i −0.930438 0.366449i
\(82\) 13.8546 0.211011i 1.52999 0.0233023i
\(83\) 1.01705 + 3.79568i 0.111636 + 0.416630i 0.999013 0.0444135i \(-0.0141419\pi\)
−0.887378 + 0.461043i \(0.847475\pi\)
\(84\) −2.95667 3.35712i −0.322599 0.366291i
\(85\) −0.994419 + 3.71122i −0.107860 + 0.402539i
\(86\) 1.34877 + 0.339473i 0.145441 + 0.0366064i
\(87\) −4.32321 3.06941i −0.463497 0.329076i
\(88\) −8.96058 + 2.84551i −0.955201 + 0.303333i
\(89\) 12.7362 1.35003 0.675017 0.737802i \(-0.264136\pi\)
0.675017 + 0.737802i \(0.264136\pi\)
\(90\) 1.67919 + 2.38711i 0.177003 + 0.251623i
\(91\) −4.48788 + 4.48788i −0.470458 + 0.470458i
\(92\) 4.81156 + 2.58587i 0.501639 + 0.269595i
\(93\) 9.90236 + 3.67758i 1.02683 + 0.381347i
\(94\) −8.90802 14.9004i −0.918792 1.53686i
\(95\) −1.21436 2.10333i −0.124590 0.215797i
\(96\) −2.70255 + 9.41787i −0.275828 + 0.961207i
\(97\) 4.41066 7.63949i 0.447835 0.775673i −0.550410 0.834895i \(-0.685529\pi\)
0.998245 + 0.0592215i \(0.0188618\pi\)
\(98\) 7.54017 0.114840i 0.761672 0.0116005i
\(99\) 0.739279 + 9.94440i 0.0743004 + 0.999450i
\(100\) 0.275714 + 9.04936i 0.0275714 + 0.904936i
\(101\) −1.88240 7.02523i −0.187306 0.699037i −0.994125 0.108238i \(-0.965479\pi\)
0.806819 0.590799i \(-0.201187\pi\)
\(102\) 2.49278 + 13.4519i 0.246822 + 1.33194i
\(103\) 9.50698 + 16.4666i 0.936750 + 1.62250i 0.771483 + 0.636250i \(0.219515\pi\)
0.165267 + 0.986249i \(0.447151\pi\)
\(104\) 13.5776 + 2.98084i 1.33140 + 0.292295i
\(105\) 1.53192 + 0.144113i 0.149500 + 0.0140640i
\(106\) 0.329179 + 1.15770i 0.0319727 + 0.112445i
\(107\) −8.28797 8.28797i −0.801228 0.801228i 0.182060 0.983287i \(-0.441724\pi\)
−0.983287 + 0.182060i \(0.941724\pi\)
\(108\) 9.05593 + 5.09806i 0.871407 + 0.490561i
\(109\) −14.3799 + 14.3799i −1.37735 + 1.37735i −0.528273 + 0.849074i \(0.677160\pi\)
−0.849074 + 0.528273i \(0.822840\pi\)
\(110\) 1.57402 2.82478i 0.150077 0.269332i
\(111\) −0.116412 + 1.23746i −0.0110493 + 0.117454i
\(112\) 2.85032 + 4.30796i 0.269330 + 0.407064i
\(113\) −2.18778 + 1.26312i −0.205809 + 0.118824i −0.599362 0.800478i \(-0.704579\pi\)
0.393553 + 0.919302i \(0.371246\pi\)
\(114\) −7.12697 4.89853i −0.667502 0.458789i
\(115\) −1.81480 + 0.486275i −0.169231 + 0.0453454i
\(116\) 4.45891 + 4.19524i 0.413999 + 0.389518i
\(117\) 6.40518 13.2803i 0.592159 1.22776i
\(118\) −5.02042 4.86978i −0.462167 0.448300i
\(119\) 6.24637 + 3.60634i 0.572604 + 0.330593i
\(120\) −1.54272 2.99622i −0.140831 0.273516i
\(121\) 0.0421101 0.0243123i 0.00382819 0.00221021i
\(122\) −15.3755 3.86988i −1.39203 0.350362i
\(123\) −5.90823 + 15.9087i −0.532727 + 1.43444i
\(124\) −10.7440 5.77415i −0.964843 0.518534i
\(125\) −4.63408 4.63408i −0.414485 0.414485i
\(126\) 5.14440 1.88504i 0.458299 0.167933i
\(127\) 17.5157i 1.55427i 0.629333 + 0.777135i \(0.283328\pi\)
−0.629333 + 0.777135i \(0.716672\pi\)
\(128\) 4.58221 10.3442i 0.405014 0.914310i
\(129\) −0.986131 + 1.38895i −0.0868240 + 0.122290i
\(130\) −4.10386 + 2.45344i −0.359932 + 0.215181i
\(131\) 11.9889 + 3.21241i 1.04747 + 0.280669i 0.741207 0.671277i \(-0.234254\pi\)
0.306266 + 0.951946i \(0.400920\pi\)
\(132\) 0.728828 11.4914i 0.0634363 1.00020i
\(133\) −4.40397 + 1.18004i −0.381872 + 0.102322i
\(134\) 0.115971 + 0.112491i 0.0100183 + 0.00971776i
\(135\) −3.47016 + 0.857326i −0.298663 + 0.0737869i
\(136\) −0.721494 15.7809i −0.0618676 1.35320i
\(137\) −5.00063 + 8.66134i −0.427232 + 0.739988i −0.996626 0.0820768i \(-0.973845\pi\)
0.569394 + 0.822065i \(0.307178\pi\)
\(138\) −5.08727 + 4.34469i −0.433057 + 0.369845i
\(139\) 1.37583 + 0.368654i 0.116697 + 0.0312688i 0.316695 0.948528i \(-0.397427\pi\)
−0.199998 + 0.979796i \(0.564094\pi\)
\(140\) −1.72939 0.407371i −0.146160 0.0344291i
\(141\) 20.9624 3.55524i 1.76535 0.299405i
\(142\) −0.0553328 0.0308326i −0.00464343 0.00258741i
\(143\) −16.3363 −1.36611
\(144\) −9.55100 7.26488i −0.795916 0.605407i
\(145\) −2.10578 −0.174876
\(146\) −16.4220 9.15065i −1.35909 0.757313i
\(147\) −3.21546 + 8.65805i −0.265207 + 0.714104i
\(148\) 0.329067 1.39697i 0.0270491 0.114830i
\(149\) 5.52986 + 1.48172i 0.453024 + 0.121387i 0.478114 0.878298i \(-0.341321\pi\)
−0.0250901 + 0.999685i \(0.507987\pi\)
\(150\) −10.4522 3.70165i −0.853417 0.302238i
\(151\) 8.10127 14.0318i 0.659272 1.14189i −0.321533 0.946899i \(-0.604198\pi\)
0.980804 0.194994i \(-0.0624687\pi\)
\(152\) 7.37625 + 6.73127i 0.598293 + 0.545978i
\(153\) −16.4617 3.12487i −1.33085 0.252631i
\(154\) −4.35737 4.22663i −0.351127 0.340592i
\(155\) 4.05239 1.08583i 0.325496 0.0872163i
\(156\) −9.42877 + 14.1758i −0.754906 + 1.13498i
\(157\) 7.56718 + 2.02762i 0.603927 + 0.161822i 0.547810 0.836602i \(-0.315462\pi\)
0.0561165 + 0.998424i \(0.482128\pi\)
\(158\) 3.50477 2.09528i 0.278825 0.166692i
\(159\) −1.46761 0.138063i −0.116389 0.0109491i
\(160\) 1.29020 + 3.67131i 0.101999 + 0.290242i
\(161\) 3.52703i 0.277969i
\(162\) −9.83870 + 8.07465i −0.773002 + 0.634404i
\(163\) −4.89763 4.89763i −0.383612 0.383612i 0.488789 0.872402i \(-0.337439\pi\)
−0.872402 + 0.488789i \(0.837439\pi\)
\(164\) 9.27649 17.2609i 0.724372 1.34785i
\(165\) 2.52587 + 3.05046i 0.196639 + 0.237478i
\(166\) 5.38918 + 1.35641i 0.418282 + 0.105278i
\(167\) −18.7832 + 10.8445i −1.45349 + 0.839174i −0.998677 0.0514129i \(-0.983628\pi\)
−0.454814 + 0.890587i \(0.650294\pi\)
\(168\) −6.18258 + 1.34164i −0.476996 + 0.103510i
\(169\) 9.66023 + 5.57734i 0.743095 + 0.429026i
\(170\) 3.90021 + 3.78318i 0.299132 + 0.290157i
\(171\) 8.75482 5.96130i 0.669497 0.455872i
\(172\) 1.34783 1.43254i 0.102771 0.109230i
\(173\) −7.68601 + 2.05946i −0.584356 + 0.156578i −0.538873 0.842387i \(-0.681150\pi\)
−0.0454836 + 0.998965i \(0.514483\pi\)
\(174\) −6.76785 + 3.22786i −0.513069 + 0.244704i
\(175\) −5.06263 + 2.92291i −0.382699 + 0.220951i
\(176\) −2.65297 + 13.0284i −0.199975 + 0.982054i
\(177\) 7.78705 3.56944i 0.585311 0.268295i
\(178\) 8.76727 15.7339i 0.657134 1.17931i
\(179\) 9.47991 9.47991i 0.708562 0.708562i −0.257671 0.966233i \(-0.582955\pi\)
0.966233 + 0.257671i \(0.0829551\pi\)
\(180\) 4.10488 0.431205i 0.305960 0.0321401i
\(181\) 8.00075 + 8.00075i 0.594691 + 0.594691i 0.938895 0.344204i \(-0.111851\pi\)
−0.344204 + 0.938895i \(0.611851\pi\)
\(182\) 2.45486 + 8.63354i 0.181966 + 0.639961i
\(183\) 11.2415 15.8335i 0.830999 1.17045i
\(184\) 6.50666 4.16401i 0.479677 0.306975i
\(185\) 0.246822 + 0.427509i 0.0181467 + 0.0314311i
\(186\) 11.3597 9.70154i 0.832933 0.711351i
\(187\) 4.80498 + 17.9324i 0.351375 + 1.31135i
\(188\) −24.5396 + 0.747667i −1.78973 + 0.0545292i
\(189\) −0.131462 + 6.70895i −0.00956248 + 0.488004i
\(190\) −3.43432 + 0.0523060i −0.249152 + 0.00379468i
\(191\) −9.22986 + 15.9866i −0.667850 + 1.15675i 0.310655 + 0.950523i \(0.399452\pi\)
−0.978504 + 0.206227i \(0.933882\pi\)
\(192\) 9.77420 + 9.82166i 0.705392 + 0.708817i
\(193\) 2.61643 + 4.53179i 0.188335 + 0.326205i 0.944695 0.327950i \(-0.106358\pi\)
−0.756360 + 0.654155i \(0.773024\pi\)
\(194\) −6.40143 10.7076i −0.459596 0.768763i
\(195\) −0.979182 5.77345i −0.0701207 0.413445i
\(196\) 5.04858 9.39396i 0.360613 0.670997i
\(197\) −14.3573 + 14.3573i −1.02292 + 1.02292i −0.0231869 + 0.999731i \(0.507381\pi\)
−0.999731 + 0.0231869i \(0.992619\pi\)
\(198\) 12.7939 + 5.93218i 0.909225 + 0.421582i
\(199\) −13.8358 −0.980797 −0.490399 0.871498i \(-0.663149\pi\)
−0.490399 + 0.871498i \(0.663149\pi\)
\(200\) 11.3691 + 5.88873i 0.803917 + 0.416396i
\(201\) −0.179880 + 0.0824533i −0.0126877 + 0.00581581i
\(202\) −9.97456 2.51051i −0.701808 0.176639i
\(203\) −1.02314 + 3.81839i −0.0718100 + 0.267999i
\(204\) 18.3341 + 6.18046i 1.28364 + 0.432719i
\(205\) 1.74445 + 6.51038i 0.121838 + 0.454705i
\(206\) 26.8867 0.409494i 1.87328 0.0285308i
\(207\) −2.70157 7.73541i −0.187772 0.537648i
\(208\) 13.0289 14.7215i 0.903393 1.02075i
\(209\) −10.1632 5.86770i −0.703001 0.405878i
\(210\) 1.23257 1.79329i 0.0850551 0.123748i
\(211\) 6.87239 25.6481i 0.473115 1.76569i −0.155358 0.987858i \(-0.549653\pi\)
0.628473 0.777831i \(-0.283680\pi\)
\(212\) 1.65678 + 0.390269i 0.113788 + 0.0268038i
\(213\) 0.0597536 0.0494778i 0.00409425 0.00339017i
\(214\) −15.9439 + 4.53350i −1.08990 + 0.309903i
\(215\) 0.676538i 0.0461395i
\(216\) 12.5319 7.67806i 0.852685 0.522426i
\(217\) 7.87574i 0.534640i
\(218\) 7.86579 + 27.6633i 0.532738 + 1.87360i
\(219\) 17.7340 14.6843i 1.19835 0.992273i
\(220\) −2.40613 3.88900i −0.162221 0.262196i
\(221\) 7.10457 26.5146i 0.477905 1.78357i
\(222\) 1.44858 + 0.995644i 0.0972225 + 0.0668232i
\(223\) −2.77266 1.60079i −0.185671 0.107197i 0.404284 0.914634i \(-0.367521\pi\)
−0.589954 + 0.807437i \(0.700854\pi\)
\(224\) 7.28401 0.555723i 0.486684 0.0371308i
\(225\) 8.86441 10.2882i 0.590960 0.685882i
\(226\) 0.0544063 + 3.57222i 0.00361905 + 0.237621i
\(227\) 0.745680 + 2.78291i 0.0494925 + 0.184708i 0.986247 0.165279i \(-0.0528525\pi\)
−0.936754 + 0.349988i \(0.886186\pi\)
\(228\) −10.9575 + 5.43244i −0.725679 + 0.359772i
\(229\) 4.72334 17.6277i 0.312127 1.16487i −0.614508 0.788911i \(-0.710645\pi\)
0.926635 0.375963i \(-0.122688\pi\)
\(230\) −0.648532 + 2.57669i −0.0427630 + 0.169902i
\(231\) 6.75862 3.09802i 0.444684 0.203835i
\(232\) 8.25207 2.62052i 0.541775 0.172045i
\(233\) −6.00585 −0.393456 −0.196728 0.980458i \(-0.563032\pi\)
−0.196728 + 0.980458i \(0.563032\pi\)
\(234\) −11.9969 17.0546i −0.784263 1.11489i
\(235\) 5.97112 5.97112i 0.389513 0.389513i
\(236\) −9.47191 + 2.84985i −0.616569 + 0.185509i
\(237\) 0.836239 + 4.93063i 0.0543196 + 0.320279i
\(238\) 8.75501 5.23407i 0.567503 0.339275i
\(239\) −6.00788 10.4059i −0.388617 0.673105i 0.603647 0.797252i \(-0.293714\pi\)
−0.992264 + 0.124147i \(0.960381\pi\)
\(240\) −4.76341 0.156680i −0.307477 0.0101137i
\(241\) 1.51923 2.63138i 0.0978622 0.169502i −0.812937 0.582351i \(-0.802133\pi\)
0.910800 + 0.412849i \(0.135466\pi\)
\(242\) −0.00104720 0.0687575i −6.73167e−5 0.00441990i
\(243\) −4.85048 14.8146i −0.311158 0.950358i
\(244\) −15.3648 + 16.3305i −0.983631 + 1.04545i
\(245\) 0.949391 + 3.54317i 0.0606543 + 0.226365i
\(246\) 15.5861 + 18.2500i 0.993730 + 1.16358i
\(247\) 8.67590 + 15.0271i 0.552034 + 0.956152i
\(248\) −14.5291 + 9.29809i −0.922601 + 0.590429i
\(249\) −3.94022 + 5.54972i −0.249701 + 0.351699i
\(250\) −8.91478 + 2.53483i −0.563820 + 0.160317i
\(251\) −2.95387 2.95387i −0.186447 0.186447i 0.607711 0.794158i \(-0.292088\pi\)
−0.794158 + 0.607711i \(0.792088\pi\)
\(252\) 1.21254 7.65285i 0.0763827 0.482084i
\(253\) −6.41937 + 6.41937i −0.403582 + 0.403582i
\(254\) 21.6384 + 12.0574i 1.35772 + 0.756547i
\(255\) −6.04952 + 2.77298i −0.378836 + 0.173651i
\(256\) −9.62470 12.7814i −0.601544 0.798840i
\(257\) 1.67398 0.966474i 0.104420 0.0602870i −0.446880 0.894594i \(-0.647465\pi\)
0.551301 + 0.834307i \(0.314132\pi\)
\(258\) 1.03704 + 2.17435i 0.0645631 + 0.135369i
\(259\) 0.895122 0.239847i 0.0556202 0.0149034i
\(260\) 0.205922 + 6.75867i 0.0127707 + 0.419155i
\(261\) −0.680824 9.15810i −0.0421420 0.566872i
\(262\) 12.2213 12.5994i 0.755037 0.778392i
\(263\) −1.51993 0.877533i −0.0937230 0.0541110i 0.452406 0.891812i \(-0.350566\pi\)
−0.546129 + 0.837701i \(0.683899\pi\)
\(264\) −13.6944 8.81075i −0.842834 0.542264i
\(265\) −0.507020 + 0.292728i −0.0311460 + 0.0179821i
\(266\) −1.57379 + 6.25284i −0.0964951 + 0.383386i
\(267\) 14.0691 + 16.9910i 0.861013 + 1.03983i
\(268\) 0.218800 0.0658309i 0.0133653 0.00402126i
\(269\) 14.2013 + 14.2013i 0.865871 + 0.865871i 0.992012 0.126141i \(-0.0402592\pi\)
−0.126141 + 0.992012i \(0.540259\pi\)
\(270\) −1.32965 + 4.87709i −0.0809198 + 0.296810i
\(271\) 11.3712i 0.690754i −0.938464 0.345377i \(-0.887751\pi\)
0.938464 0.345377i \(-0.112249\pi\)
\(272\) −19.9920 9.97186i −1.21219 0.604633i
\(273\) −10.9447 1.02961i −0.662404 0.0623145i
\(274\) 7.25767 + 12.1399i 0.438452 + 0.733396i
\(275\) −14.5341 3.89439i −0.876437 0.234841i
\(276\) 1.86536 + 9.27544i 0.112282 + 0.558316i
\(277\) −6.77138 + 1.81439i −0.406853 + 0.109016i −0.456441 0.889754i \(-0.650876\pi\)
0.0495877 + 0.998770i \(0.484209\pi\)
\(278\) 1.40251 1.44589i 0.0841171 0.0867190i
\(279\) 6.03251 + 17.2729i 0.361157 + 1.03410i
\(280\) −1.69372 + 1.85601i −0.101219 + 0.110918i
\(281\) −5.16379 + 8.94395i −0.308046 + 0.533552i −0.977935 0.208910i \(-0.933008\pi\)
0.669889 + 0.742461i \(0.266342\pi\)
\(282\) 10.0379 28.3437i 0.597750 1.68784i
\(283\) −23.3260 6.25018i −1.38659 0.371535i −0.513078 0.858342i \(-0.671495\pi\)
−0.873509 + 0.486807i \(0.838161\pi\)
\(284\) −0.0761793 + 0.0471322i −0.00452041 + 0.00279678i
\(285\) 1.46455 3.94348i 0.0867523 0.233592i
\(286\) −11.2455 + 20.1814i −0.664961 + 1.19335i
\(287\) 12.6528 0.746871
\(288\) −15.5495 + 6.79807i −0.916262 + 0.400580i
\(289\) −14.1948 −0.834987
\(290\) −1.44956 + 2.60142i −0.0851213 + 0.152761i
\(291\) 15.0639 2.55484i 0.883060 0.149768i
\(292\) −22.6089 + 13.9882i −1.32309 + 0.818595i
\(293\) −18.8302 5.04554i −1.10007 0.294763i −0.337278 0.941405i \(-0.609506\pi\)
−0.762794 + 0.646642i \(0.776173\pi\)
\(294\) 8.48246 + 9.93226i 0.494707 + 0.579261i
\(295\) 1.70109 2.94638i 0.0990414 0.171545i
\(296\) −1.49925 1.36815i −0.0871421 0.0795224i
\(297\) −12.4499 + 11.9713i −0.722416 + 0.694648i
\(298\) 5.63709 5.81145i 0.326548 0.336648i
\(299\) 12.9658 3.47416i 0.749829 0.200916i
\(300\) −11.7679 + 10.3642i −0.679421 + 0.598378i
\(301\) 1.22676 + 0.328709i 0.0707093 + 0.0189465i
\(302\) −11.7578 19.6672i −0.676585 1.13172i
\(303\) 7.29275 10.2717i 0.418958 0.590093i
\(304\) 13.3932 4.47878i 0.768154 0.256876i
\(305\) 7.71230i 0.441605i
\(306\) −15.1922 + 18.1852i −0.868480 + 1.03958i
\(307\) −4.37646 4.37646i −0.249778 0.249778i 0.571101 0.820879i \(-0.306516\pi\)
−0.820879 + 0.571101i \(0.806516\pi\)
\(308\) −8.22096 + 2.47347i −0.468433 + 0.140939i
\(309\) −11.4657 + 30.8728i −0.652259 + 1.75629i
\(310\) 1.44815 5.75366i 0.0822494 0.326786i
\(311\) −2.65273 + 1.53155i −0.150423 + 0.0868465i −0.573322 0.819330i \(-0.694346\pi\)
0.422900 + 0.906177i \(0.361012\pi\)
\(312\) 11.0219 + 21.4063i 0.623992 + 1.21189i
\(313\) 2.59526 + 1.49837i 0.146693 + 0.0846930i 0.571550 0.820567i \(-0.306342\pi\)
−0.424857 + 0.905260i \(0.639676\pi\)
\(314\) 7.71391 7.95252i 0.435321 0.448787i
\(315\) 1.49998 + 2.20288i 0.0845143 + 0.124118i
\(316\) −0.175861 5.77203i −0.00989296 0.324702i
\(317\) 9.24401 2.47692i 0.519195 0.139118i 0.0103009 0.999947i \(-0.496721\pi\)
0.508894 + 0.860829i \(0.330054\pi\)
\(318\) −1.18082 + 1.71800i −0.0662171 + 0.0963406i
\(319\) −8.81182 + 5.08751i −0.493367 + 0.284846i
\(320\) 5.42356 + 0.933360i 0.303186 + 0.0521764i
\(321\) 1.90142 20.2120i 0.106127 1.12813i
\(322\) 4.35719 + 2.42792i 0.242817 + 0.135302i
\(323\) 13.9434 13.9434i 0.775834 0.775834i
\(324\) 3.20248 + 17.7128i 0.177916 + 0.984046i
\(325\) 15.7317 + 15.7317i 0.872636 + 0.872636i
\(326\) −9.42180 + 2.67899i −0.521825 + 0.148376i
\(327\) −35.0687 3.29903i −1.93930 0.182437i
\(328\) −14.9379 23.3418i −0.824807 1.28884i
\(329\) −7.92619 13.7286i −0.436985 0.756880i
\(330\) 5.50719 1.02054i 0.303161 0.0561787i
\(331\) −3.90856 14.5870i −0.214834 0.801772i −0.986225 0.165410i \(-0.947105\pi\)
0.771391 0.636362i \(-0.219561\pi\)
\(332\) 5.38544 5.72392i 0.295565 0.314141i
\(333\) −1.77945 + 1.21166i −0.0975131 + 0.0663984i
\(334\) 0.467106 + 30.6694i 0.0255589 + 1.67815i
\(335\) −0.0392949 + 0.0680608i −0.00214691 + 0.00371856i
\(336\) −2.59851 + 8.56133i −0.141760 + 0.467059i
\(337\) 1.09448 + 1.89569i 0.0596200 + 0.103265i 0.894295 0.447478i \(-0.147678\pi\)
−0.834675 + 0.550743i \(0.814344\pi\)
\(338\) 13.5399 8.09468i 0.736475 0.440292i
\(339\) −4.10183 1.52335i −0.222781 0.0827372i
\(340\) 7.35844 2.21396i 0.399067 0.120069i
\(341\) 14.3342 14.3342i 0.776242 0.776242i
\(342\) −1.33784 14.9191i −0.0723420 0.806730i
\(343\) 15.9258 0.859912
\(344\) −0.841911 2.65120i −0.0453928 0.142943i
\(345\) −2.65345 1.88391i −0.142857 0.101426i
\(346\) −2.74665 + 10.9127i −0.147661 + 0.586673i
\(347\) −7.41711 + 27.6810i −0.398171 + 1.48599i 0.418140 + 0.908382i \(0.362682\pi\)
−0.816311 + 0.577612i \(0.803985\pi\)
\(348\) −0.671200 + 10.5828i −0.0359801 + 0.567296i
\(349\) 6.18561 + 23.0850i 0.331108 + 1.23571i 0.908027 + 0.418911i \(0.137588\pi\)
−0.576919 + 0.816801i \(0.695745\pi\)
\(350\) 0.125898 + 8.26628i 0.00672955 + 0.441851i
\(351\) 24.7923 6.12512i 1.32332 0.326934i
\(352\) 14.2687 + 12.2458i 0.760524 + 0.652704i
\(353\) −0.355770 0.205404i −0.0189357 0.0109325i 0.490502 0.871440i \(-0.336813\pi\)
−0.509438 + 0.860507i \(0.670147\pi\)
\(354\) 0.950825 12.0770i 0.0505358 0.641886i
\(355\) 0.00797469 0.0297620i 0.000423253 0.00157960i
\(356\) −13.4021 21.6617i −0.710310 1.14807i
\(357\) 2.08895 + 12.3169i 0.110559 + 0.651877i
\(358\) −5.18549 18.2369i −0.274061 0.963851i
\(359\) 1.19383i 0.0630078i 0.999504 + 0.0315039i \(0.0100297\pi\)
−0.999504 + 0.0315039i \(0.989970\pi\)
\(360\) 2.29299 5.36788i 0.120851 0.282912i
\(361\) 6.53512i 0.343954i
\(362\) 15.3914 4.37639i 0.808954 0.230018i
\(363\) 0.0789513 + 0.0293212i 0.00414387 + 0.00153897i
\(364\) 12.3555 + 2.91044i 0.647604 + 0.152548i
\(365\) 2.36677 8.83291i 0.123883 0.462336i
\(366\) −11.8219 24.7868i −0.617938 1.29563i
\(367\) −16.1698 9.33562i −0.844055 0.487316i 0.0145854 0.999894i \(-0.495357\pi\)
−0.858641 + 0.512578i \(0.828690\pi\)
\(368\) −0.665092 10.9045i −0.0346703 0.568438i
\(369\) −27.7498 + 9.69156i −1.44460 + 0.504522i
\(370\) 0.698038 0.0106314i 0.0362893 0.000552699i
\(371\) 0.284455 + 1.06160i 0.0147682 + 0.0551156i
\(372\) −4.16529 20.7117i −0.215960 1.07385i
\(373\) −3.09325 + 11.5442i −0.160163 + 0.597735i 0.838445 + 0.544986i \(0.183465\pi\)
−0.998608 + 0.0527491i \(0.983202\pi\)
\(374\) 25.4608 + 6.40827i 1.31655 + 0.331364i
\(375\) 1.06314 11.3012i 0.0549006 0.583593i
\(376\) −15.9687 + 30.8301i −0.823525 + 1.58994i
\(377\) 15.0446 0.774838
\(378\) 8.19755 + 4.78067i 0.421636 + 0.245891i
\(379\) 15.3650 15.3650i 0.789248 0.789248i −0.192123 0.981371i \(-0.561537\pi\)
0.981371 + 0.192123i \(0.0615372\pi\)
\(380\) −2.29948 + 4.27867i −0.117961 + 0.219491i
\(381\) −23.3672 + 19.3488i −1.19714 + 0.991269i
\(382\) 13.3958 + 22.4071i 0.685388 + 1.14644i
\(383\) 11.1162 + 19.2539i 0.568013 + 0.983827i 0.996762 + 0.0804037i \(0.0256210\pi\)
−0.428750 + 0.903423i \(0.641046\pi\)
\(384\) 18.8617 5.31379i 0.962532 0.271168i
\(385\) 1.47643 2.55725i 0.0752458 0.130330i
\(386\) 7.39952 0.112697i 0.376626 0.00573615i
\(387\) −2.94228 + 0.218733i −0.149565 + 0.0111188i
\(388\) −17.6345 + 0.537284i −0.895255 + 0.0272764i
\(389\) 4.18905 + 15.6338i 0.212393 + 0.792663i 0.987068 + 0.160303i \(0.0512470\pi\)
−0.774675 + 0.632360i \(0.782086\pi\)
\(390\) −7.80640 2.76464i −0.395292 0.139993i
\(391\) −7.62718 13.2107i −0.385723 0.668092i
\(392\) −8.12971 12.7034i −0.410612 0.641620i
\(393\) 8.95795 + 19.5426i 0.451869 + 0.985794i
\(394\) 7.85343 + 27.6199i 0.395650 + 1.39147i
\(395\) 1.40449 + 1.40449i 0.0706674 + 0.0706674i
\(396\) 16.1354 11.7217i 0.810836 0.589037i
\(397\) 14.5828 14.5828i 0.731887 0.731887i −0.239106 0.970993i \(-0.576854\pi\)
0.970993 + 0.239106i \(0.0768543\pi\)
\(398\) −9.52423 + 17.0924i −0.477407 + 0.856765i
\(399\) −6.43910 4.57167i −0.322358 0.228870i
\(400\) 15.1010 9.99142i 0.755048 0.499571i
\(401\) 27.9585 16.1418i 1.39618 0.806085i 0.402191 0.915556i \(-0.368249\pi\)
0.993990 + 0.109470i \(0.0349155\pi\)
\(402\) −0.0219639 + 0.278977i −0.00109546 + 0.0139141i
\(403\) −28.9521 + 7.75768i −1.44220 + 0.386438i
\(404\) −9.96764 + 10.5941i −0.495909 + 0.527077i
\(405\) −4.97705 3.68239i −0.247311 0.182979i
\(406\) 4.01283 + 3.89243i 0.199154 + 0.193178i
\(407\) 2.06570 + 1.19263i 0.102393 + 0.0591166i
\(408\) 20.2559 18.3950i 1.00282 0.910686i
\(409\) −12.9975 + 7.50409i −0.642683 + 0.371053i −0.785647 0.618674i \(-0.787670\pi\)
0.142964 + 0.989728i \(0.454337\pi\)
\(410\) 9.24357 + 2.32653i 0.456508 + 0.114899i
\(411\) −17.0788 + 2.89658i −0.842435 + 0.142878i
\(412\) 18.0022 33.4969i 0.886905 1.65027i
\(413\) −4.51613 4.51613i −0.222224 0.222224i
\(414\) −11.4158 1.98741i −0.561055 0.0976758i
\(415\) 2.70320i 0.132695i
\(416\) −9.21772 26.2294i −0.451936 1.28600i
\(417\) 1.02801 + 2.24269i 0.0503417 + 0.109825i
\(418\) −14.2448 + 8.51610i −0.696738 + 0.416536i
\(419\) 22.4191 + 6.00718i 1.09525 + 0.293470i 0.760827 0.648955i \(-0.224794\pi\)
0.334418 + 0.942425i \(0.391460\pi\)
\(420\) −1.36691 2.75713i −0.0666982 0.134534i
\(421\) −15.1189 + 4.05109i −0.736849 + 0.197438i −0.607677 0.794184i \(-0.707899\pi\)
−0.129172 + 0.991622i \(0.541232\pi\)
\(422\) −26.9542 26.1454i −1.31211 1.27274i
\(423\) 27.8991 + 24.0380i 1.35650 + 1.16877i
\(424\) 1.62261 1.77809i 0.0788010 0.0863517i
\(425\) 12.6415 21.8958i 0.613205 1.06210i
\(426\) −0.0199907 0.107877i −0.000968552 0.00522666i
\(427\) −13.9846 3.74717i −0.676764 0.181338i
\(428\) −5.37483 + 22.8174i −0.259802 + 1.10292i
\(429\) −18.0460 21.7938i −0.871267 1.05222i
\(430\) 0.835775 + 0.465711i 0.0403047 + 0.0224586i
\(431\) 1.63818 0.0789082 0.0394541 0.999221i \(-0.487438\pi\)
0.0394541 + 0.999221i \(0.487438\pi\)
\(432\) −0.858663 20.7669i −0.0413124 0.999146i
\(433\) 24.1284 1.15954 0.579769 0.814781i \(-0.303143\pi\)
0.579769 + 0.814781i \(0.303143\pi\)
\(434\) −9.72946 5.42145i −0.467029 0.260238i
\(435\) −2.32615 2.80926i −0.111531 0.134694i
\(436\) 39.5891 + 9.32553i 1.89597 + 0.446612i
\(437\) 9.31411 + 2.49571i 0.445554 + 0.119386i
\(438\) −5.93294 32.0164i −0.283487 1.52980i
\(439\) 6.04546 10.4711i 0.288534 0.499756i −0.684926 0.728613i \(-0.740165\pi\)
0.973460 + 0.228857i \(0.0734987\pi\)
\(440\) −6.46068 + 0.295378i −0.308001 + 0.0140816i
\(441\) −15.1024 + 5.27448i −0.719162 + 0.251166i
\(442\) −27.8648 27.0287i −1.32539 1.28563i
\(443\) −16.2512 + 4.35450i −0.772119 + 0.206889i −0.623307 0.781977i \(-0.714211\pi\)
−0.148811 + 0.988866i \(0.547545\pi\)
\(444\) 2.22716 1.10416i 0.105696 0.0524012i
\(445\) 8.46284 + 2.26761i 0.401177 + 0.107495i
\(446\) −3.88620 + 2.32331i −0.184017 + 0.110012i
\(447\) 4.13185 + 9.01401i 0.195430 + 0.426348i
\(448\) 4.32760 9.38101i 0.204460 0.443211i
\(449\) 31.8270i 1.50201i 0.660298 + 0.751004i \(0.270430\pi\)
−0.660298 + 0.751004i \(0.729570\pi\)
\(450\) −6.60777 18.0330i −0.311493 0.850083i
\(451\) 23.0287 + 23.0287i 1.08438 + 1.08438i
\(452\) 4.45047 + 2.39181i 0.209333 + 0.112501i
\(453\) 27.6685 4.69260i 1.29998 0.220477i
\(454\) 3.95124 + 0.994494i 0.185441 + 0.0466739i
\(455\) −3.78111 + 2.18303i −0.177261 + 0.102342i
\(456\) −0.831793 + 17.2761i −0.0389523 + 0.809030i
\(457\) 24.8553 + 14.3502i 1.16268 + 0.671275i 0.951945 0.306268i \(-0.0990803\pi\)
0.210737 + 0.977543i \(0.432414\pi\)
\(458\) −18.5254 17.9695i −0.865634 0.839661i
\(459\) −14.0157 25.4130i −0.654195 1.18618i
\(460\) 2.73674 + 2.57491i 0.127601 + 0.120056i
\(461\) 1.80601 0.483918i 0.0841141 0.0225383i −0.216517 0.976279i \(-0.569470\pi\)
0.300631 + 0.953741i \(0.402803\pi\)
\(462\) 0.825250 10.4820i 0.0383941 0.487667i
\(463\) 4.71990 2.72503i 0.219352 0.126643i −0.386298 0.922374i \(-0.626246\pi\)
0.605650 + 0.795731i \(0.292913\pi\)
\(464\) 2.44320 11.9983i 0.113423 0.557006i
\(465\) 5.92506 + 4.20670i 0.274768 + 0.195081i
\(466\) −4.13427 + 7.41946i −0.191516 + 0.343700i
\(467\) −8.95228 + 8.95228i −0.414262 + 0.414262i −0.883220 0.468958i \(-0.844630\pi\)
0.468958 + 0.883220i \(0.344630\pi\)
\(468\) −29.3271 + 3.08072i −1.35564 + 0.142406i
\(469\) 0.104322 + 0.104322i 0.00481713 + 0.00481713i
\(470\) −3.26619 11.4869i −0.150658 0.529852i
\(471\) 5.65411 + 12.3350i 0.260528 + 0.568365i
\(472\) −2.99960 + 13.6631i −0.138068 + 0.628894i
\(473\) 1.63450 + 2.83103i 0.0751542 + 0.130171i
\(474\) 6.66681 + 2.36105i 0.306217 + 0.108447i
\(475\) 4.13647 + 15.4375i 0.189794 + 0.708321i
\(476\) −0.439306 14.4187i −0.0201355 0.660879i
\(477\) −1.43701 2.11040i −0.0657961 0.0966286i
\(478\) −16.9909 + 0.258777i −0.777144 + 0.0118362i
\(479\) 4.27809 7.40987i 0.195471 0.338566i −0.751584 0.659638i \(-0.770710\pi\)
0.947055 + 0.321072i \(0.104043\pi\)
\(480\) −3.47257 + 5.77673i −0.158500 + 0.263670i
\(481\) −1.76341 3.05431i −0.0804045 0.139265i
\(482\) −2.20494 3.68819i −0.100432 0.167992i
\(483\) −4.70531 + 3.89614i −0.214099 + 0.177281i
\(484\) −0.0856619 0.0460372i −0.00389372 0.00209260i
\(485\) 4.29093 4.29093i 0.194841 0.194841i
\(486\) −21.6405 4.20585i −0.981633 0.190781i
\(487\) −13.1689 −0.596738 −0.298369 0.954451i \(-0.596443\pi\)
−0.298369 + 0.954451i \(0.596443\pi\)
\(488\) 9.59749 + 30.2227i 0.434458 + 1.36812i
\(489\) 1.12361 11.9440i 0.0508114 0.540125i
\(490\) 5.03067 + 1.26618i 0.227262 + 0.0572001i
\(491\) 2.16956 8.09692i 0.0979110 0.365409i −0.899534 0.436851i \(-0.856094\pi\)
0.997445 + 0.0714425i \(0.0227602\pi\)
\(492\) 33.2745 6.69176i 1.50013 0.301688i
\(493\) −4.42505 16.5145i −0.199294 0.743776i
\(494\) 24.5363 0.373697i 1.10394 0.0168134i
\(495\) −1.27932 + 6.73939i −0.0575010 + 0.302913i
\(496\) 1.48513 + 24.3494i 0.0666841 + 1.09332i
\(497\) −0.0500924 0.0289209i −0.00224695 0.00129728i
\(498\) 4.14362 + 8.68791i 0.185680 + 0.389315i
\(499\) −8.38567 + 31.2957i −0.375394 + 1.40099i 0.477374 + 0.878700i \(0.341589\pi\)
−0.852768 + 0.522289i \(0.825078\pi\)
\(500\) −3.00525 + 12.7580i −0.134399 + 0.570554i
\(501\) −35.2163 13.0788i −1.57335 0.584316i
\(502\) −5.68249 + 1.61576i −0.253622 + 0.0721149i
\(503\) 20.8126i 0.927989i −0.885838 0.463994i \(-0.846416\pi\)
0.885838 0.463994i \(-0.153584\pi\)
\(504\) −8.61944 6.76596i −0.383940 0.301380i
\(505\) 5.00321i 0.222640i
\(506\) 3.51138 + 12.3492i 0.156100 + 0.548990i
\(507\) 3.23063 + 19.0484i 0.143477 + 0.845971i
\(508\) 29.7907 18.4315i 1.32175 0.817767i
\(509\) −5.54865 + 20.7078i −0.245940 + 0.917859i 0.726969 + 0.686670i \(0.240928\pi\)
−0.972909 + 0.231189i \(0.925738\pi\)
\(510\) −0.738666 + 9.38225i −0.0327087 + 0.415453i
\(511\) −14.8667 8.58329i −0.657664 0.379703i
\(512\) −22.4152 + 3.09167i −0.990622 + 0.136634i
\(513\) 17.6238 + 5.09438i 0.778111 + 0.224922i
\(514\) −0.0416289 2.73329i −0.00183617 0.120560i
\(515\) 3.38533 + 12.6342i 0.149175 + 0.556730i
\(516\) 3.40000 + 0.215641i 0.149677 + 0.00949305i
\(517\) 10.5606 39.4127i 0.464455 1.73337i
\(518\) 0.319878 1.27091i 0.0140546 0.0558407i
\(519\) −11.2378 7.97869i −0.493286 0.350226i
\(520\) 8.49122 + 4.39810i 0.372365 + 0.192870i
\(521\) −20.1534 −0.882938 −0.441469 0.897277i \(-0.645542\pi\)
−0.441469 + 0.897277i \(0.645542\pi\)
\(522\) −11.7823 5.46312i −0.515698 0.239114i
\(523\) 14.7713 14.7713i 0.645905 0.645905i −0.306096 0.952001i \(-0.599023\pi\)
0.952001 + 0.306096i \(0.0990228\pi\)
\(524\) −7.15205 23.7710i −0.312439 1.03844i
\(525\) −9.49181 3.52511i −0.414256 0.153848i
\(526\) −2.13036 + 1.27361i −0.0928881 + 0.0555320i
\(527\) 17.0312 + 29.4990i 0.741892 + 1.28499i
\(528\) −20.3114 + 10.8526i −0.883942 + 0.472300i
\(529\) −7.77028 + 13.4585i −0.337838 + 0.585153i
\(530\) 0.0126087 + 0.827864i 0.000547686 + 0.0359601i
\(531\) 13.3639 + 6.44550i 0.579942 + 0.279711i
\(532\) 6.64122 + 6.24850i 0.287934 + 0.270907i
\(533\) −12.4631 46.5131i −0.539838 2.01470i
\(534\) 30.6750 5.68437i 1.32744 0.245987i
\(535\) −4.03149 6.98274i −0.174296 0.301890i
\(536\) 0.0692902 0.315615i 0.00299288 0.0136325i
\(537\) 23.1189 + 2.17487i 0.997653 + 0.0938525i
\(538\) 27.3198 7.76810i 1.17784 0.334907i
\(539\) 12.5330 + 12.5330i 0.539835 + 0.539835i
\(540\) 5.10972 + 4.99987i 0.219887 + 0.215160i
\(541\) 11.1739 11.1739i 0.480403 0.480403i −0.424857 0.905260i \(-0.639676\pi\)
0.905260 + 0.424857i \(0.139676\pi\)
\(542\) −14.0477 7.82767i −0.603401 0.336227i
\(543\) −1.83552 + 19.5116i −0.0787698 + 0.837324i
\(544\) −26.0809 + 17.8331i −1.11821 + 0.764589i
\(545\) −12.1153 + 6.99478i −0.518963 + 0.299624i
\(546\) −8.80599 + 12.8120i −0.376862 + 0.548304i
\(547\) 12.0633 3.23236i 0.515791 0.138206i 0.00847177 0.999964i \(-0.497303\pi\)
0.507319 + 0.861758i \(0.330637\pi\)
\(548\) 19.9932 0.609150i 0.854068 0.0260216i
\(549\) 33.5410 2.49348i 1.43149 0.106419i
\(550\) −14.8159 + 15.2742i −0.631751 + 0.651293i
\(551\) 9.35956 + 5.40375i 0.398731 + 0.230207i
\(552\) 12.7427 + 4.08055i 0.542364 + 0.173680i
\(553\) 3.22914 1.86435i 0.137317 0.0792800i
\(554\) −2.41980 + 9.61415i −0.102807 + 0.408466i
\(555\) −0.297674 + 0.801527i −0.0126356 + 0.0340229i
\(556\) −0.820764 2.72794i −0.0348081 0.115690i
\(557\) 4.41323 + 4.41323i 0.186995 + 0.186995i 0.794395 0.607401i \(-0.207788\pi\)
−0.607401 + 0.794395i \(0.707788\pi\)
\(558\) 25.4910 + 4.43781i 1.07912 + 0.187868i
\(559\) 4.83349i 0.204435i
\(560\) 1.12695 + 3.37000i 0.0476223 + 0.142408i
\(561\) −18.6153 + 26.2193i −0.785938 + 1.10698i
\(562\) 7.49448 + 12.5360i 0.316136 + 0.528799i
\(563\) −33.9300 9.09152i −1.42998 0.383162i −0.540967 0.841044i \(-0.681942\pi\)
−0.889013 + 0.457882i \(0.848608\pi\)
\(564\) −28.1051 31.9116i −1.18344 1.34372i
\(565\) −1.67861 + 0.449782i −0.0706197 + 0.0189225i
\(566\) −23.7783 + 24.5138i −0.999477 + 1.03039i
\(567\) −9.09543 + 7.23568i −0.381972 + 0.303870i
\(568\) 0.00578599 + 0.126554i 0.000242775 + 0.00531010i
\(569\) 10.8432 18.7810i 0.454572 0.787342i −0.544091 0.839026i \(-0.683126\pi\)
0.998663 + 0.0516841i \(0.0164589\pi\)
\(570\) −3.86351 4.52385i −0.161825 0.189483i
\(571\) −10.0422 2.69081i −0.420255 0.112607i 0.0424934 0.999097i \(-0.486470\pi\)
−0.462748 + 0.886490i \(0.653137\pi\)
\(572\) 17.1905 + 27.7847i 0.718769 + 1.16174i
\(573\) −31.5230 + 5.34633i −1.31689 + 0.223346i
\(574\) 8.70985 15.6309i 0.363542 0.652421i
\(575\) 12.3635 0.515595
\(576\) −2.30571 + 23.8890i −0.0960711 + 0.995374i
\(577\) −33.2014 −1.38219 −0.691096 0.722763i \(-0.742872\pi\)
−0.691096 + 0.722763i \(0.742872\pi\)
\(578\) −9.77131 + 17.5358i −0.406433 + 0.729394i
\(579\) −3.15548 + 8.49655i −0.131137 + 0.353105i
\(580\) 2.21588 + 3.58150i 0.0920093 + 0.148714i
\(581\) 4.90169 + 1.31340i 0.203356 + 0.0544891i
\(582\) 7.21339 20.3682i 0.299005 0.844287i
\(583\) −1.41444 + 2.44989i −0.0585803 + 0.101464i
\(584\) 1.71720 + 37.5595i 0.0710581 + 1.55422i
\(585\) 6.62054 7.68395i 0.273726 0.317692i
\(586\) −19.1953 + 19.7891i −0.792951 + 0.817479i
\(587\) −2.06941 + 0.554497i −0.0854137 + 0.0228865i −0.301273 0.953538i \(-0.597411\pi\)
0.215859 + 0.976425i \(0.430745\pi\)
\(588\) 18.1091 3.64189i 0.746808 0.150189i
\(589\) −20.7981 5.57282i −0.856969 0.229624i
\(590\) −2.46888 4.12969i −0.101642 0.170017i
\(591\) −35.0136 3.29384i −1.44027 0.135491i
\(592\) −2.72222 + 0.910329i −0.111883 + 0.0374143i
\(593\) 13.9278i 0.571945i −0.958238 0.285973i \(-0.907683\pi\)
0.958238 0.285973i \(-0.0923166\pi\)
\(594\) 6.21889 + 23.6210i 0.255164 + 0.969181i
\(595\) 3.50844 + 3.50844i 0.143832 + 0.143832i
\(596\) −3.29888 10.9643i −0.135127 0.449117i
\(597\) −15.2838 18.4580i −0.625524 0.755436i
\(598\) 4.63340 18.4090i 0.189474 0.752801i
\(599\) 20.2130 11.6700i 0.825881 0.476823i −0.0265594 0.999647i \(-0.508455\pi\)
0.852440 + 0.522825i \(0.175122\pi\)
\(600\) 4.70293 + 21.6722i 0.191996 + 0.884763i
\(601\) 10.3379 + 5.96857i 0.421691 + 0.243463i 0.695800 0.718235i \(-0.255050\pi\)
−0.274110 + 0.961698i \(0.588383\pi\)
\(602\) 1.25055 1.28923i 0.0509685 0.0525451i
\(603\) −0.308703 0.148890i −0.0125714 0.00606326i
\(604\) −32.3900 + 0.986853i −1.31793 + 0.0401545i
\(605\) 0.0323096 0.00865733i 0.00131357 0.000351971i
\(606\) −7.66922 16.0800i −0.311541 0.653206i
\(607\) 10.3919 5.99979i 0.421796 0.243524i −0.274050 0.961716i \(-0.588363\pi\)
0.695845 + 0.718192i \(0.255030\pi\)
\(608\) 3.68659 19.6287i 0.149511 0.796048i
\(609\) −6.22422 + 2.85306i −0.252218 + 0.115612i
\(610\) −9.52755 5.30894i −0.385759 0.214953i
\(611\) −42.6603 + 42.6603i −1.72585 + 1.72585i
\(612\) 12.0076 + 31.2862i 0.485380 + 1.26467i
\(613\) −18.1803 18.1803i −0.734296 0.734296i 0.237172 0.971468i \(-0.423780\pi\)
−0.971468 + 0.237172i \(0.923780\pi\)
\(614\) −8.41920 + 2.39392i −0.339771 + 0.0966106i
\(615\) −6.75830 + 9.51893i −0.272521 + 0.383840i
\(616\) −2.60344 + 11.8586i −0.104896 + 0.477797i
\(617\) −18.9672 32.8521i −0.763589 1.32257i −0.940989 0.338436i \(-0.890102\pi\)
0.177401 0.984139i \(-0.443231\pi\)
\(618\) 30.2467 + 35.4164i 1.21670 + 1.42466i
\(619\) 0.000616823 0.00230201i 2.47922e−5 9.25258e-5i 0.965938 0.258773i \(-0.0833181\pi\)
−0.965913 + 0.258865i \(0.916651\pi\)
\(620\) −6.11104 5.74967i −0.245425 0.230912i
\(621\) 7.33529 12.1490i 0.294355 0.487523i
\(622\) 0.0659686 + 4.33139i 0.00264510 + 0.173673i
\(623\) 8.22368 14.2438i 0.329475 0.570667i
\(624\) 34.0319 + 1.11939i 1.36237 + 0.0448115i
\(625\) 9.06281 + 15.6972i 0.362512 + 0.627890i
\(626\) 3.63755 2.17467i 0.145386 0.0869171i
\(627\) −3.39882 20.0401i −0.135736 0.800326i
\(628\) −4.51426 15.0038i −0.180138 0.598719i
\(629\) −2.83406 + 2.83406i −0.113001 + 0.113001i
\(630\) 3.75392 0.336626i 0.149560 0.0134115i
\(631\) −39.2643 −1.56309 −0.781543 0.623852i \(-0.785567\pi\)
−0.781543 + 0.623852i \(0.785567\pi\)
\(632\) −7.25166 3.75606i −0.288456 0.149408i
\(633\) 41.8080 19.1640i 1.66172 0.761700i
\(634\) 3.30341 13.1248i 0.131195 0.521253i
\(635\) −3.11858 + 11.6387i −0.123757 + 0.461868i
\(636\) 1.30952 + 2.64137i 0.0519259 + 0.104737i
\(637\) −6.78286 25.3140i −0.268747 1.00298i
\(638\) 0.219134 + 14.3880i 0.00867560 + 0.569625i
\(639\) 0.132014 + 0.0250598i 0.00522239 + 0.000991349i
\(640\) 4.88648 6.05761i 0.193155 0.239448i
\(641\) 15.2983 + 8.83246i 0.604245 + 0.348861i 0.770710 0.637186i \(-0.219902\pi\)
−0.166465 + 0.986047i \(0.553235\pi\)
\(642\) −23.6605 16.2624i −0.933805 0.641825i
\(643\) 1.76926 6.60298i 0.0697729 0.260396i −0.922224 0.386655i \(-0.873630\pi\)
0.991997 + 0.126259i \(0.0402970\pi\)
\(644\) 5.99875 3.71144i 0.236384 0.146251i
\(645\) −0.902549 + 0.747339i −0.0355378 + 0.0294264i
\(646\) −7.62703 26.8236i −0.300081 1.05536i
\(647\) 4.24252i 0.166791i −0.996517 0.0833953i \(-0.973424\pi\)
0.996517 0.0833953i \(-0.0265764\pi\)
\(648\) 24.0864 + 8.23679i 0.946204 + 0.323572i
\(649\) 16.4392i 0.645293i
\(650\) 30.2637 8.60518i 1.18704 0.337523i
\(651\) 10.5068 8.69995i 0.411793 0.340978i
\(652\) −3.17617 + 13.4836i −0.124388 + 0.528057i
\(653\) −7.14041 + 26.6484i −0.279426 + 1.04283i 0.673391 + 0.739286i \(0.264837\pi\)
−0.952817 + 0.303545i \(0.901830\pi\)
\(654\) −28.2159 + 41.0518i −1.10333 + 1.60525i
\(655\) 7.39431 + 4.26911i 0.288919 + 0.166808i
\(656\) −39.1187 + 2.38594i −1.52733 + 0.0931551i
\(657\) 39.1798 + 7.43737i 1.52855 + 0.290159i
\(658\) −22.4161 + 0.341405i −0.873869 + 0.0133093i
\(659\) −2.71978 10.1504i −0.105948 0.395402i 0.892503 0.451041i \(-0.148947\pi\)
−0.998451 + 0.0556391i \(0.982280\pi\)
\(660\) 2.53027 7.50594i 0.0984905 0.292168i
\(661\) 7.59396 28.3410i 0.295371 1.10234i −0.645552 0.763717i \(-0.723372\pi\)
0.940922 0.338622i \(-0.109961\pi\)
\(662\) −20.7109 5.21275i −0.804950 0.202599i
\(663\) 43.2204 19.8114i 1.67854 0.769412i
\(664\) −3.36397 10.5932i −0.130547 0.411097i
\(665\) −3.13641 −0.121625
\(666\) 0.271920 + 3.03235i 0.0105367 + 0.117501i
\(667\) 5.91179 5.91179i 0.228905 0.228905i
\(668\) 38.2096 + 20.5349i 1.47837 + 0.794520i
\(669\) −0.927247 5.46724i −0.0358495 0.211376i
\(670\) 0.0570308 + 0.0953951i 0.00220329 + 0.00368543i
\(671\) −18.6327 32.2728i −0.719307 1.24588i
\(672\) 8.78767 + 9.10351i 0.338992 + 0.351176i
\(673\) −5.32418 + 9.22175i −0.205232 + 0.355472i −0.950207 0.311621i \(-0.899128\pi\)
0.744975 + 0.667093i \(0.232462\pi\)
\(674\) 3.09529 0.0471425i 0.119226 0.00181586i
\(675\) 23.5173 + 0.460823i 0.905182 + 0.0177371i
\(676\) −0.679401 22.2990i −0.0261308 0.857654i
\(677\) 5.70565 + 21.2938i 0.219286 + 0.818387i 0.984614 + 0.174746i \(0.0559104\pi\)
−0.765327 + 0.643641i \(0.777423\pi\)
\(678\) −4.70550 + 4.01864i −0.180714 + 0.154335i
\(679\) −5.69587 9.86554i −0.218587 0.378605i
\(680\) 2.33030 10.6144i 0.0893627 0.407045i
\(681\) −2.88889 + 4.06894i −0.110702 + 0.155922i
\(682\) −7.84078 27.5754i −0.300239 1.05592i
\(683\) −1.68202 1.68202i −0.0643609 0.0643609i 0.674194 0.738555i \(-0.264491\pi\)
−0.738555 + 0.674194i \(0.764491\pi\)
\(684\) −19.3515 8.61715i −0.739923 0.329485i
\(685\) −4.86488 + 4.86488i −0.185877 + 0.185877i
\(686\) 10.9629 19.6743i 0.418565 0.751167i
\(687\) 28.7343 13.1712i 1.09628 0.502514i
\(688\) −3.85476 0.784942i −0.146961 0.0299256i
\(689\) 3.62237 2.09138i 0.138001 0.0796751i
\(690\) −4.15389 + 1.98116i −0.158136 + 0.0754215i
\(691\) 2.22350 0.595784i 0.0845858 0.0226647i −0.216278 0.976332i \(-0.569392\pi\)
0.300864 + 0.953667i \(0.402725\pi\)
\(692\) 11.5906 + 10.9052i 0.440607 + 0.414553i
\(693\) 11.5989 + 5.59424i 0.440606 + 0.212508i
\(694\) 29.0906 + 28.2178i 1.10426 + 1.07113i
\(695\) 0.848565 + 0.489919i 0.0321879 + 0.0185837i
\(696\) 12.6116 + 8.11409i 0.478042 + 0.307564i
\(697\) −47.3917 + 27.3616i −1.79509 + 1.03639i
\(698\) 32.7766 + 8.24959i 1.24061 + 0.312252i
\(699\) −6.63437 8.01223i −0.250935 0.303050i
\(700\) 10.2986 + 5.53476i 0.389250 + 0.209194i
\(701\) −10.2728 10.2728i −0.387997 0.387997i 0.485976 0.873972i \(-0.338464\pi\)
−0.873972 + 0.485976i \(0.838464\pi\)
\(702\) 9.49959 34.8441i 0.358539 1.31511i
\(703\) 2.53353i 0.0955540i
\(704\) 24.9503 9.19745i 0.940351 0.346642i
\(705\) 14.5619 + 1.36989i 0.548433 + 0.0515929i
\(706\) −0.498653 + 0.298113i −0.0187670 + 0.0112196i
\(707\) −9.07228 2.43091i −0.341198 0.0914238i
\(708\) −14.2651 9.48811i −0.536114 0.356585i
\(709\) −4.88619 + 1.30925i −0.183505 + 0.0491700i −0.349401 0.936973i \(-0.613615\pi\)
0.165896 + 0.986143i \(0.446948\pi\)
\(710\) −0.0312775 0.0303391i −0.00117382 0.00113860i
\(711\) −5.65406 + 6.56224i −0.212044 + 0.246103i
\(712\) −35.9858 + 1.64525i −1.34863 + 0.0616584i
\(713\) −8.32834 + 14.4251i −0.311899 + 0.540224i
\(714\) 16.6539 + 5.89797i 0.623255 + 0.220726i
\(715\) −10.8550 2.90859i −0.405955 0.108775i
\(716\) −26.0989 6.14782i −0.975362 0.229755i
\(717\) 7.24566 19.5099i 0.270594 0.728610i
\(718\) 1.47482 + 0.821799i 0.0550398 + 0.0306693i
\(719\) −6.73858 −0.251307 −0.125653 0.992074i \(-0.540103\pi\)
−0.125653 + 0.992074i \(0.540103\pi\)
\(720\) −5.05289 6.52780i −0.188310 0.243277i
\(721\) 24.5544 0.914452
\(722\) −8.07330 4.49860i −0.300457 0.167421i
\(723\) 5.18867 0.880003i 0.192969 0.0327277i
\(724\) 5.18857 22.0267i 0.192832 0.818616i
\(725\) 13.3849 + 3.58646i 0.497101 + 0.133198i
\(726\) 0.0905706 0.0773502i 0.00336139 0.00287073i
\(727\) −4.14056 + 7.17166i −0.153565 + 0.265982i −0.932536 0.361078i \(-0.882409\pi\)
0.778971 + 0.627060i \(0.215742\pi\)
\(728\) 12.1007 13.2601i 0.448481 0.491454i
\(729\) 14.4057 22.8359i 0.533543 0.845773i
\(730\) −9.28270 9.00419i −0.343568 0.333260i
\(731\) −5.30572 + 1.42166i −0.196239 + 0.0525821i
\(732\) −38.7588 2.45823i −1.43257 0.0908588i
\(733\) 43.6909 + 11.7070i 1.61376 + 0.432406i 0.949161 0.314792i \(-0.101935\pi\)
0.664601 + 0.747198i \(0.268601\pi\)
\(734\) −22.6638 + 13.5493i −0.836536 + 0.500113i
\(735\) −3.67810 + 5.18053i −0.135669 + 0.191087i
\(736\) −13.9290 6.68476i −0.513429 0.246403i
\(737\) 0.379742i 0.0139880i
\(738\) −7.12959 + 40.9528i −0.262444 + 1.50749i
\(739\) 22.0530 + 22.0530i 0.811234 + 0.811234i 0.984819 0.173585i \(-0.0555352\pi\)
−0.173585 + 0.984819i \(0.555535\pi\)
\(740\) 0.467378 0.869655i 0.0171811 0.0319691i
\(741\) −10.4634 + 28.1740i −0.384381 + 1.03500i
\(742\) 1.50728 + 0.379371i 0.0553341 + 0.0139271i
\(743\) 29.9386 17.2851i 1.09834 0.634128i 0.162557 0.986699i \(-0.448026\pi\)
0.935785 + 0.352571i \(0.114693\pi\)
\(744\) −28.4539 9.11173i −1.04317 0.334052i
\(745\) 3.41062 + 1.96912i 0.124955 + 0.0721431i
\(746\) 12.1320 + 11.7680i 0.444185 + 0.430858i
\(747\) −11.7563 + 0.873977i −0.430140 + 0.0319772i
\(748\) 25.4431 27.0423i 0.930293 0.988763i
\(749\) −14.6205 + 3.91756i −0.534222 + 0.143144i
\(750\) −13.2294 9.09285i −0.483068 0.332024i
\(751\) 38.8676 22.4402i 1.41830 0.818855i 0.422149 0.906526i \(-0.361276\pi\)
0.996149 + 0.0876713i \(0.0279425\pi\)
\(752\) 27.0942 + 40.9500i 0.988024 + 1.49329i
\(753\) 0.677674 7.20367i 0.0246958 0.262516i
\(754\) 10.3563 18.5857i 0.377155 0.676851i
\(755\) 7.88134 7.88134i 0.286832 0.286832i
\(756\) 11.5489 6.83613i 0.420029 0.248628i
\(757\) 27.6111 + 27.6111i 1.00354 + 1.00354i 0.999994 + 0.00354931i \(0.00112978\pi\)
0.00354931 + 0.999994i \(0.498870\pi\)
\(758\) −8.40463 29.5584i −0.305270 1.07361i
\(759\) −15.6551 1.47272i −0.568243 0.0534565i
\(760\) 3.70284 + 5.78603i 0.134316 + 0.209881i
\(761\) 17.8578 + 30.9307i 0.647346 + 1.12124i 0.983754 + 0.179520i \(0.0574545\pi\)
−0.336408 + 0.941716i \(0.609212\pi\)
\(762\) 7.81755 + 42.1864i 0.283200 + 1.52825i
\(763\) 6.79711 + 25.3672i 0.246072 + 0.918353i
\(764\) 36.9023 1.12433i 1.33508 0.0406769i
\(765\) −10.3820 5.00731i −0.375361 0.181040i
\(766\) 31.4378 0.478809i 1.13589 0.0173001i
\(767\) −12.1534 + 21.0502i −0.438832 + 0.760079i
\(768\) 6.41940 26.9591i 0.231640 0.972802i
\(769\) −22.6077 39.1577i −0.815254 1.41206i −0.909145 0.416479i \(-0.863264\pi\)
0.0938910 0.995582i \(-0.470069\pi\)
\(770\) −2.14282 3.58428i −0.0772218 0.129169i
\(771\) 3.13851 + 1.16559i 0.113031 + 0.0419778i
\(772\) 4.95441 9.21873i 0.178313 0.331790i
\(773\) −5.57961 + 5.57961i −0.200685 + 0.200685i