Properties

Label 189.2.bd.a.47.14
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.14
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.882178 + 0.155552i) q^{2} +(1.65967 - 0.495491i) q^{3} +(-1.12534 - 0.409592i) q^{4} +(0.123522 + 0.0449584i) q^{5} +(1.54119 - 0.178947i) q^{6} +(1.69913 - 2.02805i) q^{7} +(-2.48059 - 1.43217i) q^{8} +(2.50898 - 1.64470i) q^{9} +O(q^{10})\) \(q+(0.882178 + 0.155552i) q^{2} +(1.65967 - 0.495491i) q^{3} +(-1.12534 - 0.409592i) q^{4} +(0.123522 + 0.0449584i) q^{5} +(1.54119 - 0.178947i) q^{6} +(1.69913 - 2.02805i) q^{7} +(-2.48059 - 1.43217i) q^{8} +(2.50898 - 1.64470i) q^{9} +(0.101975 + 0.0588754i) q^{10} +(1.37059 + 3.76567i) q^{11} +(-2.07064 - 0.122187i) q^{12} +(-1.02604 + 2.81901i) q^{13} +(1.81440 - 1.52479i) q^{14} +(0.227282 + 0.0134118i) q^{15} +(-0.130766 - 0.109725i) q^{16} +(-0.172311 + 0.298451i) q^{17} +(2.46920 - 1.06064i) q^{18} +(-4.24215 + 2.44921i) q^{19} +(-0.120590 - 0.101187i) q^{20} +(1.81510 - 4.20778i) q^{21} +(0.623349 + 3.53519i) q^{22} +(-6.27733 + 1.10686i) q^{23} +(-4.82657 - 1.14781i) q^{24} +(-3.81699 - 3.20283i) q^{25} +(-1.34365 + 2.32726i) q^{26} +(3.34913 - 3.97282i) q^{27} +(-2.74277 + 1.58630i) q^{28} +(2.29851 + 6.31510i) q^{29} +(0.198417 + 0.0471857i) q^{30} +(2.98538 - 8.20227i) q^{31} +(3.58403 + 4.27128i) q^{32} +(4.14058 + 5.57063i) q^{33} +(-0.198433 + 0.236483i) q^{34} +(0.301058 - 0.174119i) q^{35} +(-3.49712 + 0.823195i) q^{36} -7.28599 q^{37} +(-4.12331 + 1.50076i) q^{38} +(-0.306081 + 5.18700i) q^{39} +(-0.242020 - 0.288428i) q^{40} +(9.04416 + 3.29180i) q^{41} +(2.25577 - 3.42967i) q^{42} +(0.350643 - 1.98860i) q^{43} -4.79906i q^{44} +(0.383858 - 0.0903572i) q^{45} -5.70989 q^{46} +(4.17641 - 1.52009i) q^{47} +(-0.271395 - 0.117314i) q^{48} +(-1.22594 - 6.89181i) q^{49} +(-2.86905 - 3.41920i) q^{50} +(-0.138098 + 0.580706i) q^{51} +(2.30929 - 2.75210i) q^{52} +(-5.49931 + 3.17503i) q^{53} +(3.57251 - 2.98377i) q^{54} +0.526764i q^{55} +(-7.11934 + 2.59731i) q^{56} +(-5.82699 + 6.16681i) q^{57} +(1.04537 + 5.92857i) q^{58} +(0.136314 - 0.114381i) q^{59} +(-0.250277 - 0.108186i) q^{60} +(-1.59759 - 4.38933i) q^{61} +(3.90952 - 6.77148i) q^{62} +(0.927544 - 7.88287i) q^{63} +(2.66805 + 4.62120i) q^{64} +(-0.253476 + 0.302081i) q^{65} +(2.78620 + 5.55836i) q^{66} +(2.00174 + 11.3525i) q^{67} +(0.316152 - 0.265283i) q^{68} +(-9.86983 + 4.94738i) q^{69} +(0.292671 - 0.106774i) q^{70} +(0.373587 - 0.215690i) q^{71} +(-8.57923 + 0.486542i) q^{72} -1.52364i q^{73} +(-6.42754 - 1.13335i) q^{74} +(-7.92189 - 3.42435i) q^{75} +(5.77706 - 1.01865i) q^{76} +(9.96576 + 3.61872i) q^{77} +(-1.07687 + 4.52825i) q^{78} +(0.410757 - 2.32952i) q^{79} +(-0.0112194 - 0.0194325i) q^{80} +(3.58993 - 8.25302i) q^{81} +(7.46651 + 4.31079i) q^{82} +(6.81615 - 2.48087i) q^{83} +(-3.76609 + 3.99175i) q^{84} +(-0.0347021 + 0.0291185i) q^{85} +(0.618659 - 1.69975i) q^{86} +(6.94383 + 9.34206i) q^{87} +(1.99320 - 11.3040i) q^{88} +(-7.70903 - 13.3524i) q^{89} +(0.352686 - 0.0200014i) q^{90} +(3.97372 + 6.87070i) q^{91} +(7.51752 + 1.32554i) q^{92} +(0.890584 - 15.0923i) q^{93} +(3.92079 - 0.691340i) q^{94} +(-0.634113 + 0.111811i) q^{95} +(8.06467 + 5.31304i) q^{96} +(12.2061 + 2.15226i) q^{97} +(-0.00946529 - 6.27050i) q^{98} +(9.63217 + 7.19377i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.882178 + 0.155552i 0.623794 + 0.109992i 0.476606 0.879117i \(-0.341867\pi\)
0.147188 + 0.989109i \(0.452978\pi\)
\(3\) 1.65967 0.495491i 0.958208 0.286072i
\(4\) −1.12534 0.409592i −0.562672 0.204796i
\(5\) 0.123522 + 0.0449584i 0.0552408 + 0.0201060i 0.369493 0.929234i \(-0.379531\pi\)
−0.314252 + 0.949340i \(0.601754\pi\)
\(6\) 1.54119 0.178947i 0.629190 0.0730549i
\(7\) 1.69913 2.02805i 0.642209 0.766529i
\(8\) −2.48059 1.43217i −0.877021 0.506348i
\(9\) 2.50898 1.64470i 0.836326 0.548233i
\(10\) 0.101975 + 0.0588754i 0.0322474 + 0.0186180i
\(11\) 1.37059 + 3.76567i 0.413249 + 1.13539i 0.955453 + 0.295145i \(0.0953679\pi\)
−0.542204 + 0.840247i \(0.682410\pi\)
\(12\) −2.07064 0.122187i −0.597743 0.0352724i
\(13\) −1.02604 + 2.81901i −0.284571 + 0.781852i 0.712231 + 0.701945i \(0.247685\pi\)
−0.996802 + 0.0799075i \(0.974538\pi\)
\(14\) 1.81440 1.52479i 0.484918 0.407519i
\(15\) 0.227282 + 0.0134118i 0.0586840 + 0.00346290i
\(16\) −0.130766 0.109725i −0.0326914 0.0274313i
\(17\) −0.172311 + 0.298451i −0.0417914 + 0.0723849i −0.886165 0.463371i \(-0.846640\pi\)
0.844373 + 0.535756i \(0.179973\pi\)
\(18\) 2.46920 1.06064i 0.581996 0.249995i
\(19\) −4.24215 + 2.44921i −0.973216 + 0.561887i −0.900215 0.435445i \(-0.856591\pi\)
−0.0730010 + 0.997332i \(0.523258\pi\)
\(20\) −0.120590 0.101187i −0.0269649 0.0226262i
\(21\) 1.81510 4.20778i 0.396088 0.918213i
\(22\) 0.623349 + 3.53519i 0.132898 + 0.753704i
\(23\) −6.27733 + 1.10686i −1.30891 + 0.230797i −0.784214 0.620491i \(-0.786934\pi\)
−0.524700 + 0.851287i \(0.675822\pi\)
\(24\) −4.82657 1.14781i −0.985220 0.234296i
\(25\) −3.81699 3.20283i −0.763397 0.640566i
\(26\) −1.34365 + 2.32726i −0.263511 + 0.456414i
\(27\) 3.34913 3.97282i 0.644540 0.764570i
\(28\) −2.74277 + 1.58630i −0.518335 + 0.299783i
\(29\) 2.29851 + 6.31510i 0.426822 + 1.17268i 0.947731 + 0.319072i \(0.103371\pi\)
−0.520908 + 0.853613i \(0.674407\pi\)
\(30\) 0.198417 + 0.0471857i 0.0362258 + 0.00861489i
\(31\) 2.98538 8.20227i 0.536191 1.47317i −0.315397 0.948960i \(-0.602138\pi\)
0.851588 0.524212i \(-0.175640\pi\)
\(32\) 3.58403 + 4.27128i 0.633573 + 0.755063i
\(33\) 4.14058 + 5.57063i 0.720782 + 0.969723i
\(34\) −0.198433 + 0.236483i −0.0340310 + 0.0405565i
\(35\) 0.301058 0.174119i 0.0508880 0.0294315i
\(36\) −3.49712 + 0.823195i −0.582853 + 0.137199i
\(37\) −7.28599 −1.19781 −0.598905 0.800820i \(-0.704397\pi\)
−0.598905 + 0.800820i \(0.704397\pi\)
\(38\) −4.12331 + 1.50076i −0.668889 + 0.243456i
\(39\) −0.306081 + 5.18700i −0.0490123 + 0.830585i
\(40\) −0.242020 0.288428i −0.0382667 0.0456045i
\(41\) 9.04416 + 3.29180i 1.41246 + 0.514094i 0.931851 0.362841i \(-0.118193\pi\)
0.480609 + 0.876935i \(0.340415\pi\)
\(42\) 2.25577 3.42967i 0.348073 0.529209i
\(43\) 0.350643 1.98860i 0.0534726 0.303258i −0.946328 0.323207i \(-0.895239\pi\)
0.999801 + 0.0199486i \(0.00635026\pi\)
\(44\) 4.79906i 0.723485i
\(45\) 0.383858 0.0903572i 0.0572221 0.0134697i
\(46\) −5.70989 −0.841878
\(47\) 4.17641 1.52009i 0.609192 0.221728i −0.0189578 0.999820i \(-0.506035\pi\)
0.628150 + 0.778093i \(0.283813\pi\)
\(48\) −0.271395 0.117314i −0.0391725 0.0169328i
\(49\) −1.22594 6.89181i −0.175135 0.984545i
\(50\) −2.86905 3.41920i −0.405745 0.483549i
\(51\) −0.138098 + 0.580706i −0.0193376 + 0.0813152i
\(52\) 2.30929 2.75210i 0.320240 0.381648i
\(53\) −5.49931 + 3.17503i −0.755388 + 0.436123i −0.827637 0.561263i \(-0.810316\pi\)
0.0722494 + 0.997387i \(0.476982\pi\)
\(54\) 3.57251 2.98377i 0.486157 0.406040i
\(55\) 0.526764i 0.0710288i
\(56\) −7.11934 + 2.59731i −0.951361 + 0.347081i
\(57\) −5.82699 + 6.16681i −0.771804 + 0.816814i
\(58\) 1.04537 + 5.92857i 0.137263 + 0.778460i
\(59\) 0.136314 0.114381i 0.0177466 0.0148912i −0.633871 0.773439i \(-0.718535\pi\)
0.651618 + 0.758547i \(0.274091\pi\)
\(60\) −0.250277 0.108186i −0.0323107 0.0139667i
\(61\) −1.59759 4.38933i −0.204550 0.561996i 0.794420 0.607369i \(-0.207775\pi\)
−0.998970 + 0.0453721i \(0.985553\pi\)
\(62\) 3.90952 6.77148i 0.496509 0.859979i
\(63\) 0.927544 7.88287i 0.116860 0.993148i
\(64\) 2.66805 + 4.62120i 0.333506 + 0.577649i
\(65\) −0.253476 + 0.302081i −0.0314399 + 0.0374686i
\(66\) 2.78620 + 5.55836i 0.342958 + 0.684187i
\(67\) 2.00174 + 11.3525i 0.244552 + 1.38692i 0.821531 + 0.570164i \(0.193120\pi\)
−0.576979 + 0.816759i \(0.695769\pi\)
\(68\) 0.316152 0.265283i 0.0383390 0.0321702i
\(69\) −9.86983 + 4.94738i −1.18819 + 0.595595i
\(70\) 0.292671 0.106774i 0.0349809 0.0127619i
\(71\) 0.373587 0.215690i 0.0443366 0.0255977i −0.477668 0.878540i \(-0.658518\pi\)
0.522004 + 0.852943i \(0.325184\pi\)
\(72\) −8.57923 + 0.486542i −1.01107 + 0.0573395i
\(73\) 1.52364i 0.178329i −0.996017 0.0891645i \(-0.971580\pi\)
0.996017 0.0891645i \(-0.0284197\pi\)
\(74\) −6.42754 1.13335i −0.747186 0.131749i
\(75\) −7.92189 3.42435i −0.914741 0.395409i
\(76\) 5.77706 1.01865i 0.662674 0.116847i
\(77\) 9.96576 + 3.61872i 1.13570 + 0.412392i
\(78\) −1.07687 + 4.52825i −0.121931 + 0.512723i
\(79\) 0.410757 2.32952i 0.0462138 0.262091i −0.952943 0.303150i \(-0.901962\pi\)
0.999157 + 0.0410582i \(0.0130729\pi\)
\(80\) −0.0112194 0.0194325i −0.00125436 0.00217262i
\(81\) 3.58993 8.25302i 0.398882 0.917002i
\(82\) 7.46651 + 4.31079i 0.824538 + 0.476047i
\(83\) 6.81615 2.48087i 0.748169 0.272311i 0.0603341 0.998178i \(-0.480783\pi\)
0.687835 + 0.725867i \(0.258561\pi\)
\(84\) −3.76609 + 3.99175i −0.410914 + 0.435536i
\(85\) −0.0347021 + 0.0291185i −0.00376397 + 0.00315834i
\(86\) 0.618659 1.69975i 0.0667117 0.183289i
\(87\) 6.94383 + 9.34206i 0.744456 + 1.00157i
\(88\) 1.99320 11.3040i 0.212476 1.20501i
\(89\) −7.70903 13.3524i −0.817156 1.41536i −0.907770 0.419469i \(-0.862216\pi\)
0.0906137 0.995886i \(-0.471117\pi\)
\(90\) 0.352686 0.0200014i 0.0371764 0.00210833i
\(91\) 3.97372 + 6.87070i 0.416559 + 0.720245i
\(92\) 7.51752 + 1.32554i 0.783756 + 0.138197i
\(93\) 0.890584 15.0923i 0.0923493 1.56499i
\(94\) 3.92079 0.691340i 0.404398 0.0713063i
\(95\) −0.634113 + 0.111811i −0.0650586 + 0.0114716i
\(96\) 8.06467 + 5.31304i 0.823097 + 0.542260i
\(97\) 12.2061 + 2.15226i 1.23934 + 0.218529i 0.754634 0.656147i \(-0.227815\pi\)
0.484708 + 0.874676i \(0.338926\pi\)
\(98\) −0.00946529 6.27050i −0.000956138 0.633416i
\(99\) 9.63217 + 7.19377i 0.968070 + 0.723001i
\(100\) 2.98357 + 5.16769i 0.298357 + 0.516769i
\(101\) −0.655418 + 3.71706i −0.0652165 + 0.369861i 0.934680 + 0.355490i \(0.115686\pi\)
−0.999897 + 0.0143715i \(0.995425\pi\)
\(102\) −0.212157 + 0.490805i −0.0210067 + 0.0485969i
\(103\) 3.42363 9.40634i 0.337340 0.926835i −0.648806 0.760954i \(-0.724731\pi\)
0.986146 0.165881i \(-0.0530466\pi\)
\(104\) 6.58247 5.52335i 0.645464 0.541609i
\(105\) 0.413381 0.438150i 0.0403418 0.0427591i
\(106\) −5.34525 + 1.94551i −0.519176 + 0.188965i
\(107\) 4.00378 + 2.31158i 0.387060 + 0.223469i 0.680885 0.732390i \(-0.261595\pi\)
−0.293826 + 0.955859i \(0.594928\pi\)
\(108\) −5.39616 + 3.09902i −0.519246 + 0.298203i
\(109\) −5.95833 10.3201i −0.570704 0.988489i −0.996494 0.0836667i \(-0.973337\pi\)
0.425789 0.904822i \(-0.359996\pi\)
\(110\) −0.0819390 + 0.464699i −0.00781258 + 0.0443073i
\(111\) −12.0923 + 3.61014i −1.14775 + 0.342660i
\(112\) −0.444715 + 0.0787614i −0.0420216 + 0.00744225i
\(113\) −3.00669 + 0.530160i −0.282846 + 0.0498733i −0.313271 0.949664i \(-0.601425\pi\)
0.0304256 + 0.999537i \(0.490314\pi\)
\(114\) −6.09970 + 4.53382i −0.571289 + 0.424632i
\(115\) −0.825153 0.145497i −0.0769459 0.0135676i
\(116\) 8.04811i 0.747248i
\(117\) 2.06212 + 8.76035i 0.190643 + 0.809894i
\(118\) 0.138046 0.0797007i 0.0127081 0.00733704i
\(119\) 0.312494 + 0.856559i 0.0286463 + 0.0785206i
\(120\) −0.544586 0.358775i −0.0497136 0.0327516i
\(121\) −3.87525 + 3.25172i −0.352296 + 0.295611i
\(122\) −0.726587 4.12068i −0.0657821 0.373069i
\(123\) 16.6413 + 0.981994i 1.50050 + 0.0885434i
\(124\) −6.71917 + 8.00759i −0.603399 + 0.719103i
\(125\) −0.656113 1.13642i −0.0586845 0.101645i
\(126\) 2.04445 6.80981i 0.182134 0.606666i
\(127\) 4.57273 7.92020i 0.405764 0.702804i −0.588646 0.808391i \(-0.700339\pi\)
0.994410 + 0.105587i \(0.0336720\pi\)
\(128\) −2.17919 5.98727i −0.192615 0.529205i
\(129\) −0.403381 3.47414i −0.0355157 0.305881i
\(130\) −0.270600 + 0.227061i −0.0237332 + 0.0199145i
\(131\) −0.968114 5.49045i −0.0845845 0.479703i −0.997445 0.0714321i \(-0.977243\pi\)
0.912861 0.408271i \(-0.133868\pi\)
\(132\) −2.37789 7.96483i −0.206969 0.693249i
\(133\) −2.24084 + 12.7648i −0.194306 + 1.10685i
\(134\) 10.3263i 0.892052i
\(135\) 0.592304 0.340161i 0.0509774 0.0292764i
\(136\) 0.854863 0.493555i 0.0733039 0.0423220i
\(137\) −9.29828 + 11.0813i −0.794406 + 0.946736i −0.999488 0.0320091i \(-0.989809\pi\)
0.205082 + 0.978745i \(0.434254\pi\)
\(138\) −9.47651 + 2.82920i −0.806694 + 0.240838i
\(139\) 8.80185 + 10.4896i 0.746563 + 0.889720i 0.996919 0.0784343i \(-0.0249921\pi\)
−0.250356 + 0.968154i \(0.580548\pi\)
\(140\) −0.410111 + 0.0726329i −0.0346607 + 0.00613860i
\(141\) 6.17825 4.59221i 0.520302 0.386734i
\(142\) 0.363121 0.132165i 0.0304724 0.0110911i
\(143\) −12.0217 −1.00531
\(144\) −0.508553 0.0602285i −0.0423794 0.00501904i
\(145\) 0.883393i 0.0733618i
\(146\) 0.237005 1.34412i 0.0196147 0.111241i
\(147\) −5.44948 10.8307i −0.449466 0.893298i
\(148\) 8.19925 + 2.98428i 0.673974 + 0.245306i
\(149\) −10.4655 12.4723i −0.857370 1.02177i −0.999490 0.0319247i \(-0.989836\pi\)
0.142120 0.989849i \(-0.454608\pi\)
\(150\) −6.45585 4.25314i −0.527118 0.347268i
\(151\) 3.98643 1.45094i 0.324411 0.118076i −0.174681 0.984625i \(-0.555889\pi\)
0.499092 + 0.866549i \(0.333667\pi\)
\(152\) 14.0307 1.13804
\(153\) 0.0585380 + 1.03220i 0.00473252 + 0.0834488i
\(154\) 8.22867 + 4.74255i 0.663085 + 0.382165i
\(155\) 0.737523 0.878945i 0.0592393 0.0705986i
\(156\) 2.46900 5.71179i 0.197678 0.457310i
\(157\) 2.94110 + 3.50506i 0.234725 + 0.279734i 0.870530 0.492115i \(-0.163776\pi\)
−0.635805 + 0.771850i \(0.719332\pi\)
\(158\) 0.724721 1.99116i 0.0576557 0.158408i
\(159\) −7.55381 + 7.99434i −0.599056 + 0.633992i
\(160\) 0.250677 + 0.688731i 0.0198178 + 0.0544489i
\(161\) −8.42121 + 14.6114i −0.663684 + 1.15154i
\(162\) 4.45073 6.72221i 0.349682 0.528147i
\(163\) −4.14531 + 7.17988i −0.324686 + 0.562372i −0.981449 0.191725i \(-0.938592\pi\)
0.656763 + 0.754097i \(0.271925\pi\)
\(164\) −8.82950 7.40883i −0.689468 0.578532i
\(165\) 0.261007 + 0.874251i 0.0203193 + 0.0680604i
\(166\) 6.39896 1.12831i 0.496655 0.0875737i
\(167\) −0.761050 4.31613i −0.0588919 0.333992i 0.941100 0.338130i \(-0.109794\pi\)
−0.999991 + 0.00413722i \(0.998683\pi\)
\(168\) −10.5288 + 7.83824i −0.812312 + 0.604733i
\(169\) 3.06452 + 2.57143i 0.235732 + 0.197803i
\(170\) −0.0351428 + 0.0202897i −0.00269533 + 0.00155615i
\(171\) −6.61525 + 13.1221i −0.505881 + 1.00347i
\(172\) −1.20911 + 2.09423i −0.0921935 + 0.159684i
\(173\) −12.7106 10.6655i −0.966373 0.810883i 0.0156052 0.999878i \(-0.495032\pi\)
−0.981978 + 0.188995i \(0.939477\pi\)
\(174\) 4.67252 + 9.32148i 0.354223 + 0.706659i
\(175\) −12.9810 + 2.29901i −0.981274 + 0.173789i
\(176\) 0.233963 0.642808i 0.0176356 0.0484535i
\(177\) 0.169561 0.257377i 0.0127450 0.0193457i
\(178\) −4.72374 12.9784i −0.354059 0.972770i
\(179\) 9.01384 + 5.20414i 0.673726 + 0.388976i 0.797487 0.603336i \(-0.206162\pi\)
−0.123761 + 0.992312i \(0.539496\pi\)
\(180\) −0.468982 0.0555420i −0.0349558 0.00413985i
\(181\) −14.3465 8.28296i −1.06637 0.615668i −0.139181 0.990267i \(-0.544447\pi\)
−0.927187 + 0.374599i \(0.877780\pi\)
\(182\) 2.43677 + 6.67929i 0.180626 + 0.495102i
\(183\) −4.82633 6.49323i −0.356773 0.479994i
\(184\) 17.1567 + 6.24452i 1.26481 + 0.460352i
\(185\) −0.899982 0.327567i −0.0661680 0.0240832i
\(186\) 3.13328 13.1755i 0.229743 0.966076i
\(187\) −1.36003 0.239811i −0.0994555 0.0175367i
\(188\) −5.32251 −0.388184
\(189\) −2.36648 13.5425i −0.172136 0.985073i
\(190\) −0.576792 −0.0418449
\(191\) 10.2170 + 1.80153i 0.739274 + 0.130354i 0.530589 0.847629i \(-0.321971\pi\)
0.208685 + 0.977983i \(0.433082\pi\)
\(192\) 6.71783 + 6.34764i 0.484818 + 0.458102i
\(193\) −17.1323 6.23566i −1.23321 0.448853i −0.358516 0.933524i \(-0.616717\pi\)
−0.874696 + 0.484671i \(0.838939\pi\)
\(194\) 10.4332 + 3.79736i 0.749057 + 0.272635i
\(195\) −0.271007 + 0.626949i −0.0194072 + 0.0448968i
\(196\) −1.44322 + 8.25780i −0.103087 + 0.589843i
\(197\) −18.9850 10.9610i −1.35263 0.780941i −0.364012 0.931394i \(-0.618593\pi\)
−0.988617 + 0.150454i \(0.951927\pi\)
\(198\) 7.37828 + 7.84448i 0.524352 + 0.557483i
\(199\) 6.28334 + 3.62769i 0.445414 + 0.257160i 0.705891 0.708320i \(-0.250547\pi\)
−0.260477 + 0.965480i \(0.583880\pi\)
\(200\) 4.88138 + 13.4115i 0.345166 + 0.948334i
\(201\) 8.94726 + 17.8494i 0.631091 + 1.25900i
\(202\) −1.15639 + 3.17715i −0.0813633 + 0.223544i
\(203\) 16.7128 + 6.06867i 1.17301 + 0.425937i
\(204\) 0.393261 0.596931i 0.0275337 0.0417935i
\(205\) 0.969161 + 0.813222i 0.0676891 + 0.0567979i
\(206\) 4.48342 7.76552i 0.312375 0.541049i
\(207\) −13.9292 + 13.1014i −0.968148 + 0.910611i
\(208\) 0.443487 0.256047i 0.0307503 0.0177537i
\(209\) −15.0372 12.6177i −1.04014 0.872783i
\(210\) 0.432830 0.322224i 0.0298681 0.0222356i
\(211\) 0.796078 + 4.51478i 0.0548043 + 0.310810i 0.999871 0.0160673i \(-0.00511459\pi\)
−0.945067 + 0.326878i \(0.894003\pi\)
\(212\) 7.48908 1.32053i 0.514352 0.0906942i
\(213\) 0.513156 0.543082i 0.0351609 0.0372114i
\(214\) 3.17247 + 2.66202i 0.216866 + 0.181972i
\(215\) 0.132716 0.229871i 0.00905118 0.0156771i
\(216\) −13.9976 + 5.05843i −0.952414 + 0.344182i
\(217\) −11.5620 19.9912i −0.784883 1.35709i
\(218\) −3.65099 10.0310i −0.247276 0.679386i
\(219\) −0.754952 2.52874i −0.0510149 0.170876i
\(220\) 0.215758 0.592790i 0.0145464 0.0399659i
\(221\) −0.664538 0.791966i −0.0447017 0.0532734i
\(222\) −11.2291 + 1.30381i −0.753650 + 0.0875059i
\(223\) −15.1586 + 18.0653i −1.01510 + 1.20974i −0.0374904 + 0.999297i \(0.511936\pi\)
−0.977605 + 0.210447i \(0.932508\pi\)
\(224\) 14.7521 0.0111341i 0.985664 0.000743927i
\(225\) −14.8444 1.75804i −0.989628 0.117203i
\(226\) −2.73490 −0.181923
\(227\) −2.30126 + 0.837591i −0.152740 + 0.0555929i −0.417259 0.908788i \(-0.637009\pi\)
0.264519 + 0.964381i \(0.414787\pi\)
\(228\) 9.08325 4.55310i 0.601553 0.301536i
\(229\) 0.168408 + 0.200701i 0.0111287 + 0.0132627i 0.771580 0.636132i \(-0.219467\pi\)
−0.760451 + 0.649395i \(0.775022\pi\)
\(230\) −0.705299 0.256708i −0.0465060 0.0169268i
\(231\) 18.3329 + 1.06793i 1.20621 + 0.0702644i
\(232\) 3.34263 18.9570i 0.219455 1.24459i
\(233\) 29.0321i 1.90195i 0.309260 + 0.950977i \(0.399919\pi\)
−0.309260 + 0.950977i \(0.600081\pi\)
\(234\) 0.456469 + 8.04895i 0.0298403 + 0.526176i
\(235\) 0.584220 0.0381103
\(236\) −0.200250 + 0.0728851i −0.0130352 + 0.00474442i
\(237\) −0.472537 4.06975i −0.0306945 0.264359i
\(238\) 0.142436 + 0.804246i 0.00923277 + 0.0521315i
\(239\) 1.21344 + 1.44612i 0.0784911 + 0.0935420i 0.803861 0.594817i \(-0.202776\pi\)
−0.725370 + 0.688359i \(0.758331\pi\)
\(240\) −0.0282491 0.0266924i −0.00182347 0.00172299i
\(241\) 11.7834 14.0430i 0.759038 0.904586i −0.238749 0.971081i \(-0.576737\pi\)
0.997787 + 0.0664953i \(0.0211818\pi\)
\(242\) −3.92447 + 2.26580i −0.252275 + 0.145651i
\(243\) 1.86879 15.4760i 0.119883 0.992788i
\(244\) 5.59387i 0.358111i
\(245\) 0.158414 0.906409i 0.0101207 0.0579083i
\(246\) 14.5279 + 3.45488i 0.926263 + 0.220275i
\(247\) −2.55174 14.4716i −0.162363 0.920808i
\(248\) −19.1525 + 16.0709i −1.21619 + 1.02050i
\(249\) 10.0833 7.49476i 0.639001 0.474961i
\(250\) −0.402036 1.10458i −0.0254270 0.0698600i
\(251\) −3.29266 + 5.70305i −0.207831 + 0.359973i −0.951031 0.309096i \(-0.899974\pi\)
0.743200 + 0.669069i \(0.233307\pi\)
\(252\) −4.27257 + 8.49103i −0.269146 + 0.534885i
\(253\) −12.7717 22.1213i −0.802952 1.39075i
\(254\) 5.26596 6.27573i 0.330416 0.393774i
\(255\) −0.0431659 + 0.0655215i −0.00270315 + 0.00410312i
\(256\) −2.84431 16.1309i −0.177769 1.00818i
\(257\) −22.1780 + 18.6096i −1.38343 + 1.16083i −0.415503 + 0.909592i \(0.636394\pi\)
−0.967924 + 0.251242i \(0.919161\pi\)
\(258\) 0.184555 3.12756i 0.0114899 0.194713i
\(259\) −12.3798 + 14.7763i −0.769244 + 0.918156i
\(260\) 0.408978 0.236124i 0.0253638 0.0146438i
\(261\) 16.1533 + 12.0641i 0.999866 + 0.746748i
\(262\) 4.99414i 0.308539i
\(263\) 22.8663 + 4.03194i 1.41000 + 0.248620i 0.826244 0.563312i \(-0.190473\pi\)
0.583751 + 0.811932i \(0.301584\pi\)
\(264\) −2.29298 19.7485i −0.141123 1.21543i
\(265\) −0.822031 + 0.144946i −0.0504970 + 0.00890398i
\(266\) −3.96241 + 10.9122i −0.242951 + 0.669073i
\(267\) −19.4104 18.3408i −1.18790 1.12244i
\(268\) 2.39722 13.5953i 0.146434 0.830466i
\(269\) 4.60903 + 7.98308i 0.281018 + 0.486737i 0.971636 0.236483i \(-0.0759947\pi\)
−0.690618 + 0.723220i \(0.742661\pi\)
\(270\) 0.575430 0.207948i 0.0350196 0.0126553i
\(271\) 25.5138 + 14.7304i 1.54985 + 0.894807i 0.998152 + 0.0607643i \(0.0193538\pi\)
0.551700 + 0.834043i \(0.313980\pi\)
\(272\) 0.0552799 0.0201202i 0.00335183 0.00121997i
\(273\) 9.99941 + 9.43412i 0.605192 + 0.570979i
\(274\) −9.92644 + 8.32927i −0.599678 + 0.503190i
\(275\) 6.82927 18.7633i 0.411821 1.13147i
\(276\) 13.1334 1.52491i 0.790535 0.0917887i
\(277\) 0.528964 2.99991i 0.0317824 0.180247i −0.964784 0.263043i \(-0.915274\pi\)
0.996567 + 0.0827961i \(0.0263850\pi\)
\(278\) 6.13312 + 10.6229i 0.367840 + 0.637117i
\(279\) −6.00001 25.4894i −0.359211 1.52601i
\(280\) −0.996168 0.000751855i −0.0595324 4.49319e-5i
\(281\) 24.6845 + 4.35255i 1.47256 + 0.259651i 0.851599 0.524194i \(-0.175633\pi\)
0.620956 + 0.783845i \(0.286744\pi\)
\(282\) 6.16464 3.09011i 0.367099 0.184013i
\(283\) 10.9985 1.93934i 0.653794 0.115282i 0.163095 0.986610i \(-0.447852\pi\)
0.490700 + 0.871329i \(0.336741\pi\)
\(284\) −0.508758 + 0.0897078i −0.0301893 + 0.00532318i
\(285\) −0.997013 + 0.499766i −0.0590580 + 0.0296036i
\(286\) −10.6053 1.87000i −0.627105 0.110575i
\(287\) 22.0431 12.7488i 1.30116 0.752537i
\(288\) 16.0172 + 4.82190i 0.943824 + 0.284133i
\(289\) 8.44062 + 14.6196i 0.496507 + 0.859975i
\(290\) −0.137413 + 0.779309i −0.00806918 + 0.0457626i
\(291\) 21.3245 2.47597i 1.25006 0.145144i
\(292\) −0.624072 + 1.71462i −0.0365211 + 0.100341i
\(293\) −3.69754 + 3.10260i −0.216012 + 0.181256i −0.744373 0.667764i \(-0.767251\pi\)
0.528360 + 0.849020i \(0.322807\pi\)
\(294\) −3.12269 10.4022i −0.182119 0.606671i
\(295\) 0.0219803 0.00800016i 0.00127974 0.000465787i
\(296\) 18.0735 + 10.4348i 1.05050 + 0.606508i
\(297\) 19.5506 + 7.16659i 1.13444 + 0.415848i
\(298\) −7.29237 12.6308i −0.422436 0.731680i
\(299\) 3.32051 18.8315i 0.192030 1.08906i
\(300\) 7.51227 + 7.09831i 0.433721 + 0.409821i
\(301\) −3.43718 4.08999i −0.198116 0.235743i
\(302\) 3.74243 0.659892i 0.215353 0.0379725i
\(303\) 0.753995 + 6.49383i 0.0433159 + 0.373061i
\(304\) 0.823467 + 0.145200i 0.0472291 + 0.00832776i
\(305\) 0.614005i 0.0351578i
\(306\) −0.108920 + 0.919693i −0.00622656 + 0.0525754i
\(307\) 17.7257 10.2339i 1.01166 0.584082i 0.0999825 0.994989i \(-0.468121\pi\)
0.911677 + 0.410907i \(0.134788\pi\)
\(308\) −9.73271 8.15420i −0.554573 0.464629i
\(309\) 1.02132 17.3078i 0.0581008 0.984604i
\(310\) 0.787347 0.660663i 0.0447183 0.0375231i
\(311\) −2.56159 14.5275i −0.145255 0.823780i −0.967162 0.254160i \(-0.918201\pi\)
0.821908 0.569621i \(-0.192910\pi\)
\(312\) 8.18792 12.4285i 0.463550 0.703623i
\(313\) −7.62965 + 9.09266i −0.431253 + 0.513947i −0.937283 0.348568i \(-0.886668\pi\)
0.506030 + 0.862516i \(0.331112\pi\)
\(314\) 2.04935 + 3.54958i 0.115652 + 0.200314i
\(315\) 0.468974 0.932009i 0.0264237 0.0525128i
\(316\) −1.41639 + 2.45327i −0.0796784 + 0.138007i
\(317\) 7.00153 + 19.2365i 0.393245 + 1.08043i 0.965511 + 0.260364i \(0.0838425\pi\)
−0.572265 + 0.820068i \(0.693935\pi\)
\(318\) −7.90734 + 5.87742i −0.443421 + 0.329589i
\(319\) −20.6303 + 17.3108i −1.15507 + 0.969221i
\(320\) 0.121802 + 0.690772i 0.00680892 + 0.0386153i
\(321\) 7.79030 + 1.85262i 0.434812 + 0.103403i
\(322\) −9.70183 + 11.5799i −0.540662 + 0.645324i
\(323\) 1.68810i 0.0939282i
\(324\) −7.42028 + 7.81708i −0.412238 + 0.434282i
\(325\) 12.9452 7.47390i 0.718069 0.414577i
\(326\) −4.77374 + 5.68912i −0.264393 + 0.315091i
\(327\) −15.0024 14.1757i −0.829632 0.783916i
\(328\) −17.7204 21.1184i −0.978447 1.16607i
\(329\) 4.01343 11.0528i 0.221268 0.609359i
\(330\) 0.0942630 + 0.811845i 0.00518900 + 0.0446906i
\(331\) 12.9346 4.70781i 0.710950 0.258765i 0.0388711 0.999244i \(-0.487624\pi\)
0.672079 + 0.740480i \(0.265402\pi\)
\(332\) −8.68666 −0.476742
\(333\) −18.2804 + 11.9833i −1.00176 + 0.656678i
\(334\) 3.92598i 0.214820i
\(335\) −0.263129 + 1.49228i −0.0143762 + 0.0815317i
\(336\) −0.699053 + 0.351070i −0.0381365 + 0.0191524i
\(337\) −11.8712 4.32077i −0.646667 0.235367i −0.00219742 0.999998i \(-0.500699\pi\)
−0.644469 + 0.764630i \(0.722922\pi\)
\(338\) 2.30346 + 2.74515i 0.125292 + 0.149317i
\(339\) −4.72741 + 2.36968i −0.256758 + 0.128703i
\(340\) 0.0509785 0.0185546i 0.00276469 0.00100627i
\(341\) 34.9788 1.89421
\(342\) −7.87699 + 10.5470i −0.425939 + 0.570315i
\(343\) −16.0599 9.22379i −0.867155 0.498038i
\(344\) −3.71780 + 4.43071i −0.200451 + 0.238888i
\(345\) −1.44157 + 0.167380i −0.0776115 + 0.00901144i
\(346\) −9.55401 11.3860i −0.513627 0.612117i
\(347\) −6.19856 + 17.0304i −0.332756 + 0.914240i 0.654635 + 0.755945i \(0.272822\pi\)
−0.987392 + 0.158296i \(0.949400\pi\)
\(348\) −3.98777 13.3572i −0.213767 0.716019i
\(349\) 6.17471 + 16.9649i 0.330525 + 0.908109i 0.987975 + 0.154612i \(0.0494127\pi\)
−0.657450 + 0.753498i \(0.728365\pi\)
\(350\) −11.8092 + 0.00891295i −0.631228 + 0.000476417i
\(351\) 7.76310 + 13.5175i 0.414364 + 0.721510i
\(352\) −11.1720 + 19.3505i −0.595469 + 1.03138i
\(353\) 11.9752 + 10.0484i 0.637378 + 0.534824i 0.903212 0.429195i \(-0.141203\pi\)
−0.265834 + 0.964019i \(0.585647\pi\)
\(354\) 0.189619 0.200677i 0.0100781 0.0106659i
\(355\) 0.0558434 0.00984669i 0.00296386 0.000522608i
\(356\) 3.20627 + 18.1836i 0.169932 + 0.963731i
\(357\) 0.943053 + 1.26676i 0.0499117 + 0.0670442i
\(358\) 7.14229 + 5.99309i 0.377482 + 0.316745i
\(359\) −8.75879 + 5.05689i −0.462271 + 0.266892i −0.712999 0.701165i \(-0.752663\pi\)
0.250728 + 0.968058i \(0.419330\pi\)
\(360\) −1.08160 0.325610i −0.0570053 0.0171611i
\(361\) 2.49723 4.32533i 0.131433 0.227649i
\(362\) −11.3677 9.53867i −0.597475 0.501341i
\(363\) −4.82042 + 7.31693i −0.253007 + 0.384039i
\(364\) −1.65762 9.35950i −0.0868828 0.490571i
\(365\) 0.0685006 0.188204i 0.00358549 0.00985105i
\(366\) −3.24765 6.47893i −0.169757 0.338659i
\(367\) 9.52935 + 26.1817i 0.497428 + 1.36667i 0.893752 + 0.448561i \(0.148063\pi\)
−0.396324 + 0.918111i \(0.629714\pi\)
\(368\) 0.942309 + 0.544043i 0.0491213 + 0.0283602i
\(369\) 28.1056 6.61585i 1.46312 0.344407i
\(370\) −0.742991 0.428966i −0.0386262 0.0223009i
\(371\) −2.90492 + 16.5476i −0.150816 + 0.859110i
\(372\) −7.18388 + 16.6192i −0.372467 + 0.861666i
\(373\) −18.5415 6.74854i −0.960040 0.349426i −0.185991 0.982551i \(-0.559549\pi\)
−0.774049 + 0.633126i \(0.781772\pi\)
\(374\) −1.16249 0.423111i −0.0601108 0.0218786i
\(375\) −1.65201 1.56098i −0.0853096 0.0806086i
\(376\) −12.5370 2.21061i −0.646545 0.114003i
\(377\) −20.1607 −1.03833
\(378\) 0.0189068 12.3150i 0.000972463 0.633416i
\(379\) 3.29633 0.169321 0.0846605 0.996410i \(-0.473019\pi\)
0.0846605 + 0.996410i \(0.473019\pi\)
\(380\) 0.759392 + 0.133901i 0.0389560 + 0.00686899i
\(381\) 3.66481 15.4106i 0.187754 0.789511i
\(382\) 8.73295 + 3.17853i 0.446817 + 0.162628i
\(383\) −28.9959 10.5537i −1.48162 0.539267i −0.530393 0.847752i \(-0.677956\pi\)
−0.951229 + 0.308485i \(0.900178\pi\)
\(384\) −6.58336 8.85709i −0.335956 0.451987i
\(385\) 1.06830 + 0.895038i 0.0544457 + 0.0456154i
\(386\) −14.1438 8.16592i −0.719900 0.415635i
\(387\) −2.39088 5.56604i −0.121535 0.282938i
\(388\) −12.8545 7.42156i −0.652589 0.376773i
\(389\) −4.59734 12.6311i −0.233094 0.640421i 0.766905 0.641761i \(-0.221796\pi\)
−0.999999 + 0.00133967i \(0.999574\pi\)
\(390\) −0.336600 + 0.510925i −0.0170444 + 0.0258717i
\(391\) 0.751306 2.06420i 0.0379952 0.104391i
\(392\) −6.82918 + 18.8515i −0.344926 + 0.952145i
\(393\) −4.32721 8.63262i −0.218279 0.435458i
\(394\) −15.0432 12.6227i −0.757864 0.635924i
\(395\) 0.155469 0.269280i 0.00782250 0.0135490i
\(396\) −7.89300 12.0407i −0.396638 0.605069i
\(397\) 28.0188 16.1766i 1.40622 0.811882i 0.411200 0.911545i \(-0.365110\pi\)
0.995021 + 0.0996625i \(0.0317763\pi\)
\(398\) 4.97873 + 4.17765i 0.249561 + 0.209407i
\(399\) 2.60579 + 22.2956i 0.130453 + 1.11618i
\(400\) 0.147699 + 0.837640i 0.00738493 + 0.0418820i
\(401\) −37.5651 + 6.62375i −1.87591 + 0.330774i −0.990879 0.134753i \(-0.956976\pi\)
−0.885034 + 0.465527i \(0.845865\pi\)
\(402\) 5.11657 + 17.1381i 0.255191 + 0.854772i
\(403\) 20.0592 + 16.8316i 0.999218 + 0.838444i
\(404\) 2.26005 3.91452i 0.112442 0.194754i
\(405\) 0.814480 0.858034i 0.0404718 0.0426361i
\(406\) 13.7996 + 7.95334i 0.684864 + 0.394718i
\(407\) −9.98612 27.4366i −0.494993 1.35998i
\(408\) 1.17423 1.24271i 0.0581333 0.0615235i
\(409\) −7.75021 + 21.2935i −0.383223 + 1.05290i 0.586768 + 0.809755i \(0.300400\pi\)
−0.969991 + 0.243142i \(0.921822\pi\)
\(410\) 0.728474 + 0.868161i 0.0359768 + 0.0428754i
\(411\) −9.94137 + 22.9984i −0.490371 + 1.13443i
\(412\) −7.70552 + 9.18309i −0.379624 + 0.452418i
\(413\) −0.000355335 0.470800i −1.74849e−5 0.0231666i
\(414\) −14.3260 + 9.39105i −0.704084 + 0.461545i
\(415\) 0.953482 0.0468046
\(416\) −15.7181 + 5.72093i −0.770644 + 0.280492i
\(417\) 19.8057 + 13.0481i 0.969887 + 0.638966i
\(418\) −11.3027 13.4701i −0.552835 0.658843i
\(419\) −1.24840 0.454379i −0.0609881 0.0221979i 0.311346 0.950297i \(-0.399220\pi\)
−0.372334 + 0.928099i \(0.621442\pi\)
\(420\) −0.644658 + 0.323753i −0.0314561 + 0.0157975i
\(421\) −0.798906 + 4.53082i −0.0389363 + 0.220819i −0.998067 0.0621441i \(-0.980206\pi\)
0.959131 + 0.282963i \(0.0913173\pi\)
\(422\) 4.10667i 0.199910i
\(423\) 7.97843 10.6828i 0.387924 0.519415i
\(424\) 18.1887 0.883321
\(425\) 1.61359 0.587300i 0.0782708 0.0284882i
\(426\) 0.537172 0.399273i 0.0260261 0.0193448i
\(427\) −11.6163 4.21805i −0.562151 0.204126i
\(428\) −3.55882 4.24124i −0.172022 0.205008i
\(429\) −19.9520 + 5.95666i −0.963294 + 0.287590i
\(430\) 0.152836 0.182143i 0.00737042 0.00878373i
\(431\) −15.3689 + 8.87327i −0.740296 + 0.427410i −0.822177 0.569232i \(-0.807241\pi\)
0.0818808 + 0.996642i \(0.473907\pi\)
\(432\) −0.873870 + 0.152024i −0.0420441 + 0.00731427i
\(433\) 1.22234i 0.0587418i 0.999569 + 0.0293709i \(0.00935038\pi\)
−0.999569 + 0.0293709i \(0.990650\pi\)
\(434\) −7.09011 19.4343i −0.340336 0.932875i
\(435\) 0.437713 + 1.46614i 0.0209867 + 0.0702958i
\(436\) 2.47813 + 14.0542i 0.118681 + 0.673073i
\(437\) 23.9184 20.0700i 1.14417 0.960076i
\(438\) −0.272652 2.34823i −0.0130278 0.112203i
\(439\) 1.66599 + 4.57728i 0.0795135 + 0.218461i 0.973079 0.230471i \(-0.0740266\pi\)
−0.893566 + 0.448932i \(0.851804\pi\)
\(440\) 0.754414 1.30668i 0.0359653 0.0622937i
\(441\) −14.4108 15.2751i −0.686229 0.727385i
\(442\) −0.463049 0.802024i −0.0220250 0.0381484i
\(443\) 14.9512 17.8181i 0.710353 0.846565i −0.283303 0.959030i \(-0.591430\pi\)
0.993656 + 0.112465i \(0.0358747\pi\)
\(444\) 15.0867 + 0.890255i 0.715983 + 0.0422497i
\(445\) −0.351933 1.99591i −0.0166832 0.0946152i
\(446\) −16.1827 + 13.5789i −0.766272 + 0.642979i
\(447\) −23.5492 15.5143i −1.11384 0.733803i
\(448\) 13.9053 + 2.44107i 0.656966 + 0.115330i
\(449\) 19.9333 11.5085i 0.940710 0.543119i 0.0505273 0.998723i \(-0.483910\pi\)
0.890183 + 0.455603i \(0.150576\pi\)
\(450\) −12.8220 3.85998i −0.604433 0.181961i
\(451\) 38.5690i 1.81614i
\(452\) 3.60071 + 0.634902i 0.169363 + 0.0298633i
\(453\) 5.89721 4.38332i 0.277075 0.205946i
\(454\) −2.16041 + 0.380939i −0.101393 + 0.0178783i
\(455\) 0.181947 + 1.02734i 0.00852979 + 0.0481623i
\(456\) 23.2863 6.95209i 1.09048 0.325561i
\(457\) 4.61926 26.1971i 0.216080 1.22545i −0.662943 0.748670i \(-0.730693\pi\)
0.879023 0.476780i \(-0.158196\pi\)
\(458\) 0.117346 + 0.203250i 0.00548323 + 0.00949724i
\(459\) 0.608602 + 1.68411i 0.0284071 + 0.0786075i
\(460\) 0.868987 + 0.501710i 0.0405167 + 0.0233923i
\(461\) 25.7975 9.38952i 1.20151 0.437314i 0.337758 0.941233i \(-0.390331\pi\)
0.863751 + 0.503919i \(0.168109\pi\)
\(462\) 16.0067 + 3.79381i 0.744700 + 0.176504i
\(463\) 2.44473 2.05137i 0.113616 0.0953355i −0.584210 0.811603i \(-0.698595\pi\)
0.697826 + 0.716267i \(0.254151\pi\)
\(464\) 0.392361 1.07800i 0.0182149 0.0500450i
\(465\) 0.788531 1.82419i 0.0365673 0.0845948i
\(466\) −4.51599 + 25.6115i −0.209199 + 1.18643i
\(467\) 8.45133 + 14.6381i 0.391081 + 0.677372i 0.992592 0.121492i \(-0.0387679\pi\)
−0.601512 + 0.798864i \(0.705435\pi\)
\(468\) 1.26757 10.7030i 0.0585935 0.494748i
\(469\) 26.4245 + 15.2296i 1.22017 + 0.703238i
\(470\) 0.515386 + 0.0908765i 0.0237730 + 0.00419182i
\(471\) 6.61796 + 4.35994i 0.304940 + 0.200896i
\(472\) −0.501953 + 0.0885079i −0.0231043 + 0.00407391i
\(473\) 7.96898 1.40515i 0.366414 0.0646087i
\(474\) 0.216195 3.66374i 0.00993017 0.168281i
\(475\) 24.0366 + 4.23831i 1.10288 + 0.194467i
\(476\) −0.000824122 1.09192i −3.77736e−5 0.0500480i
\(477\) −8.57568 + 17.0108i −0.392653 + 0.778870i
\(478\) 0.845525 + 1.46449i 0.0386734 + 0.0669843i
\(479\) 6.55126 37.1540i 0.299335 1.69761i −0.349707 0.936859i \(-0.613719\pi\)
0.649042 0.760753i \(-0.275170\pi\)
\(480\) 0.757301 + 1.01885i 0.0345659 + 0.0465041i
\(481\) 7.47568 20.5393i 0.340862 0.936510i
\(482\) 12.5795 10.5554i 0.572980 0.480787i
\(483\) −6.73656 + 28.4227i −0.306524 + 1.29328i
\(484\) 5.69287 2.07204i 0.258767 0.0941835i
\(485\) 1.41096 + 0.814620i 0.0640685 + 0.0369900i
\(486\) 4.05593 13.3619i 0.183981 0.606109i
\(487\) −9.18231 15.9042i −0.416090 0.720689i 0.579452 0.815006i \(-0.303267\pi\)
−0.995542 + 0.0943172i \(0.969933\pi\)
\(488\) −2.32331 + 13.1761i −0.105171 + 0.596456i
\(489\) −3.32225 + 13.9702i −0.150238 + 0.631753i
\(490\) 0.280743 0.774972i 0.0126827 0.0350097i
\(491\) −17.9717 + 3.16890i −0.811053 + 0.143011i −0.563769 0.825933i \(-0.690649\pi\)
−0.247284 + 0.968943i \(0.579538\pi\)
\(492\) −18.3250 7.92124i −0.826155 0.357117i
\(493\) −2.28080 0.402167i −0.102722 0.0181127i
\(494\) 13.1635i 0.592253i
\(495\) 0.866367 + 1.32164i 0.0389403 + 0.0594032i
\(496\) −1.29038 + 0.745003i −0.0579399 + 0.0334516i
\(497\) 0.197341 1.12414i 0.00885194 0.0504244i
\(498\) 10.0611 5.04324i 0.450847 0.225993i
\(499\) 28.6729 24.0594i 1.28358 1.07705i 0.290836 0.956773i \(-0.406067\pi\)
0.992741 0.120276i \(-0.0383778\pi\)
\(500\) 0.272884 + 1.54760i 0.0122037 + 0.0692109i
\(501\) −3.40169 6.78624i −0.151976 0.303187i
\(502\) −3.79183 + 4.51892i −0.169238 + 0.201689i
\(503\) −8.72136 15.1058i −0.388866 0.673536i 0.603431 0.797415i \(-0.293800\pi\)
−0.992297 + 0.123879i \(0.960466\pi\)
\(504\) −13.5905 + 18.2258i −0.605367 + 0.811840i
\(505\) −0.248072 + 0.429673i −0.0110391 + 0.0191202i
\(506\) −7.82593 21.5016i −0.347905 0.955861i
\(507\) 6.36019 + 2.74928i 0.282466 + 0.122100i
\(508\) −8.38995 + 7.04000i −0.372244 + 0.312350i
\(509\) 4.84714 + 27.4895i 0.214846 + 1.21845i 0.881174 + 0.472792i \(0.156754\pi\)
−0.666328 + 0.745659i \(0.732135\pi\)
\(510\) −0.0482719 + 0.0510871i −0.00213752 + 0.00226217i
\(511\) −3.09002 2.58886i −0.136694 0.114525i
\(512\) 1.92969i 0.0852812i
\(513\) −4.47724 + 25.0560i −0.197675 + 1.10625i
\(514\) −22.4597 + 12.9671i −0.990655 + 0.571955i
\(515\) 0.845789 1.00797i 0.0372699 0.0444166i
\(516\) −0.969038 + 4.07483i −0.0426595 + 0.179384i
\(517\) 11.4483 + 13.6436i 0.503496 + 0.600043i
\(518\) −13.2197 + 11.1096i −0.580839 + 0.488130i
\(519\) −26.3801 11.4031i −1.15796 0.500543i
\(520\) 1.06140 0.386319i 0.0465456 0.0169412i
\(521\) 6.26889 0.274645 0.137323 0.990526i \(-0.456150\pi\)
0.137323 + 0.990526i \(0.456150\pi\)
\(522\) 12.3735 + 13.1553i 0.541574 + 0.575794i
\(523\) 6.16606i 0.269623i 0.990871 + 0.134811i \(0.0430429\pi\)
−0.990871 + 0.134811i \(0.956957\pi\)
\(524\) −1.15938 + 6.57518i −0.0506478 + 0.287238i
\(525\) −20.4050 + 10.2476i −0.890548 + 0.447241i
\(526\) 19.5450 + 7.11378i 0.852200 + 0.310176i
\(527\) 1.93356 + 2.30433i 0.0842272 + 0.100378i
\(528\) 0.0697947 1.18277i 0.00303742 0.0514736i
\(529\) 16.5668 6.02982i 0.720295 0.262166i
\(530\) −0.747724 −0.0324791
\(531\) 0.153887 0.511176i 0.00667812 0.0221832i
\(532\) 7.75007 13.4470i 0.336008 0.582999i
\(533\) −18.5593 + 22.1181i −0.803890 + 0.958039i
\(534\) −14.2705 19.1992i −0.617545 0.830830i
\(535\) 0.390631 + 0.465536i 0.0168884 + 0.0201269i
\(536\) 11.2931 31.0276i 0.487789 1.34019i
\(537\) 17.5386 + 4.17086i 0.756845 + 0.179986i
\(538\) 2.82420 + 7.75944i 0.121760 + 0.334533i
\(539\) 24.2720 14.0623i 1.04547 0.605708i
\(540\) −0.805873 + 0.140195i −0.0346792 + 0.00603304i
\(541\) −10.3506 + 17.9278i −0.445008 + 0.770777i −0.998053 0.0623747i \(-0.980133\pi\)
0.553045 + 0.833152i \(0.313466\pi\)
\(542\) 20.2163 + 16.9635i 0.868366 + 0.728646i
\(543\) −27.9145 6.63838i −1.19793 0.284880i
\(544\) −1.89233 + 0.333669i −0.0811331 + 0.0143060i
\(545\) −0.272010 1.54264i −0.0116516 0.0660796i
\(546\) 7.35376 + 9.87799i 0.314712 + 0.422739i
\(547\) −12.9704 10.8834i −0.554573 0.465342i 0.321913 0.946769i \(-0.395674\pi\)
−0.876486 + 0.481427i \(0.840118\pi\)
\(548\) 15.0026 8.66173i 0.640877 0.370011i
\(549\) −11.2274 8.38519i −0.479175 0.357871i
\(550\) 8.94329 15.4902i 0.381343 0.660506i
\(551\) −25.2176 21.1601i −1.07431 0.901450i
\(552\) 31.5685 + 1.86283i 1.34364 + 0.0792875i
\(553\) −4.02644 4.79118i −0.171222 0.203742i
\(554\) 0.933281 2.56417i 0.0396513 0.108941i
\(555\) −1.65598 0.0977180i −0.0702922 0.00414790i
\(556\) −5.60864 15.4096i −0.237859 0.653514i
\(557\) −37.1778 21.4646i −1.57528 0.909486i −0.995505 0.0947060i \(-0.969809\pi\)
−0.579770 0.814780i \(-0.696858\pi\)
\(558\) −1.32816 23.4195i −0.0562253 0.991425i
\(559\) 5.24610 + 3.02883i 0.221886 + 0.128106i
\(560\) −0.0584732 0.0102649i −0.00247094 0.000433772i
\(561\) −2.37602 + 0.275879i −0.100316 + 0.0116476i
\(562\) 21.0991 + 7.67944i 0.890011 + 0.323938i
\(563\) 2.55016 + 0.928183i 0.107477 + 0.0391183i 0.395199 0.918596i \(-0.370676\pi\)
−0.287722 + 0.957714i \(0.592898\pi\)
\(564\) −8.83359 + 2.63726i −0.371961 + 0.111049i
\(565\) −0.395228 0.0696894i −0.0166274 0.00293186i
\(566\) 10.0043 0.420513
\(567\) −10.6378 21.3035i −0.446744 0.894662i
\(568\) −1.23562 −0.0518454
\(569\) 32.7153 + 5.76860i 1.37150 + 0.241832i 0.810381 0.585904i \(-0.199260\pi\)
0.561118 + 0.827736i \(0.310371\pi\)
\(570\) −0.957282 + 0.285795i −0.0400961 + 0.0119707i
\(571\) −2.04644 0.744844i −0.0856409 0.0311708i 0.298844 0.954302i \(-0.403399\pi\)
−0.384485 + 0.923131i \(0.625621\pi\)
\(572\) 13.5286 + 4.92400i 0.565658 + 0.205883i
\(573\) 17.8494 2.07248i 0.745669 0.0865793i
\(574\) 21.4290 7.81785i 0.894430 0.326311i
\(575\) 27.5056 + 15.8803i 1.14706 + 0.662256i
\(576\) 14.2945 + 7.20634i 0.595606 + 0.300264i
\(577\) −29.6400 17.1127i −1.23393 0.712410i −0.266083 0.963950i \(-0.585729\pi\)
−0.967847 + 0.251541i \(0.919063\pi\)
\(578\) 5.17202 + 14.2100i 0.215128 + 0.591059i
\(579\) −31.5236 1.86019i −1.31008 0.0773068i
\(580\) 0.361830 0.994121i 0.0150242 0.0412786i
\(581\) 6.55016 18.0388i 0.271747 0.748375i
\(582\) 19.1971 + 1.13281i 0.795746 + 0.0469564i
\(583\) −19.4934 16.3569i −0.807334 0.677434i
\(584\) −2.18212 + 3.77953i −0.0902966 + 0.156398i
\(585\) −0.139134 + 1.17481i −0.00575247 + 0.0485723i
\(586\) −3.74450 + 2.16189i −0.154684 + 0.0893067i
\(587\) −10.2925 8.63644i −0.424817 0.356464i 0.405175 0.914239i \(-0.367211\pi\)
−0.829992 + 0.557775i \(0.811655\pi\)
\(588\) 1.69640 + 14.4203i 0.0699582 + 0.594682i
\(589\) 7.42462 + 42.1071i 0.305926 + 1.73499i
\(590\) 0.0206349 0.00363850i 0.000849527 0.000149794i
\(591\) −36.9399 8.78471i −1.51951 0.361355i
\(592\) 0.952757 + 0.799458i 0.0391581 + 0.0328575i
\(593\) −1.95066 + 3.37864i −0.0801039 + 0.138744i −0.903294 0.429021i \(-0.858859\pi\)
0.823190 + 0.567765i \(0.192192\pi\)
\(594\) 16.1324 + 9.36334i 0.661918 + 0.384183i
\(595\) 9.04589e−5 0.119853i 3.70846e−6 0.00491351i
\(596\) 6.66876 + 18.3223i 0.273163 + 0.750510i
\(597\) 12.2257 + 2.90741i 0.500365 + 0.118992i
\(598\) 5.85855 16.0962i 0.239574 0.658224i
\(599\) −5.98259 7.12977i −0.244442 0.291315i 0.629848 0.776718i \(-0.283117\pi\)
−0.874290 + 0.485404i \(0.838673\pi\)
\(600\) 14.7467 + 19.8399i 0.602032 + 0.809960i
\(601\) 20.1709 24.0388i 0.822789 0.980561i −0.177205 0.984174i \(-0.556705\pi\)
0.999993 + 0.00361252i \(0.00114990\pi\)
\(602\) −2.39599 4.14276i −0.0976534 0.168846i
\(603\) 23.6937 + 25.1908i 0.964882 + 1.02585i
\(604\) −5.08040 −0.206718
\(605\) −0.624873 + 0.227435i −0.0254047 + 0.00924655i
\(606\) −0.344968 + 5.84599i −0.0140134 + 0.237477i
\(607\) −4.60295 5.48559i −0.186828 0.222653i 0.664498 0.747290i \(-0.268645\pi\)
−0.851326 + 0.524637i \(0.824201\pi\)
\(608\) −25.6653 9.34139i −1.04086 0.378843i
\(609\) 30.7446 + 1.79093i 1.24583 + 0.0725722i
\(610\) 0.0955096 0.541662i 0.00386707 0.0219312i
\(611\) 13.3330i 0.539395i
\(612\) 0.356907 1.18556i 0.0144271 0.0479235i
\(613\) 34.8506 1.40760 0.703801 0.710397i \(-0.251485\pi\)
0.703801 + 0.710397i \(0.251485\pi\)
\(614\) 17.2291 6.27089i 0.695311 0.253073i
\(615\) 2.01143 + 0.869467i 0.0811086 + 0.0350603i
\(616\) −19.5383 23.2492i −0.787222 0.936737i
\(617\) 4.32090 + 5.14944i 0.173953 + 0.207309i 0.845976 0.533222i \(-0.179019\pi\)
−0.672023 + 0.740530i \(0.734574\pi\)
\(618\) 3.59324 15.1097i 0.144541 0.607799i
\(619\) −22.1515 + 26.3991i −0.890343 + 1.06107i 0.107420 + 0.994214i \(0.465741\pi\)
−0.997763 + 0.0668555i \(0.978703\pi\)
\(620\) −1.18998 + 0.687033i −0.0477906 + 0.0275919i
\(621\) −16.6262 + 28.6458i −0.667187 + 1.14951i
\(622\) 13.2143i 0.529846i
\(623\) −40.1780 7.05320i −1.60970 0.282580i
\(624\) 0.609170 0.644696i 0.0243863 0.0258085i
\(625\) 4.29625 + 24.3652i 0.171850 + 0.974610i
\(626\) −8.14508 + 6.83454i −0.325543 + 0.273163i
\(627\) −31.2086 13.4903i −1.24635 0.538752i
\(628\) −1.87410 5.14905i −0.0747848 0.205469i
\(629\) 1.25545 2.17451i 0.0500582 0.0867033i
\(630\) 0.558694 0.749248i 0.0222589 0.0298508i
\(631\) 13.2483 + 22.9468i 0.527407 + 0.913496i 0.999490 + 0.0319417i \(0.0101691\pi\)
−0.472083 + 0.881554i \(0.656498\pi\)
\(632\) −4.35518 + 5.19031i −0.173240 + 0.206459i
\(633\) 3.55826 + 7.09858i 0.141428 + 0.282143i
\(634\) 3.18432 + 18.0592i 0.126465 + 0.717221i
\(635\) 0.920914 0.772739i 0.0365454 0.0306652i
\(636\) 11.7751 5.90240i 0.466911 0.234046i
\(637\) 20.6859 + 3.61530i 0.819607 + 0.143243i
\(638\) −20.8923 + 12.0622i −0.827133 + 0.477546i
\(639\) 0.582575 1.15560i 0.0230463 0.0457148i
\(640\) 0.837534i 0.0331064i
\(641\) −2.34586 0.413639i −0.0926561 0.0163378i 0.127128 0.991886i \(-0.459424\pi\)
−0.219784 + 0.975549i \(0.570535\pi\)
\(642\) 6.58425 + 2.84613i 0.259860 + 0.112328i
\(643\) −9.49012 + 1.67336i −0.374254 + 0.0659911i −0.357612 0.933870i \(-0.616409\pi\)
−0.0166424 + 0.999862i \(0.505298\pi\)
\(644\) 15.4615 12.9936i 0.609267 0.512020i
\(645\) 0.106365 0.447269i 0.00418814 0.0176112i
\(646\) 0.262586 1.48920i 0.0103313 0.0585918i
\(647\) 1.16581 + 2.01925i 0.0458328 + 0.0793847i 0.888032 0.459782i \(-0.152073\pi\)
−0.842199 + 0.539167i \(0.818739\pi\)
\(648\) −20.7249 + 15.3310i −0.814150 + 0.602257i
\(649\) 0.617553 + 0.356545i 0.0242411 + 0.0139956i
\(650\) 12.5825 4.57966i 0.493527 0.179629i
\(651\) −29.0946 27.4498i −1.14031 1.07584i
\(652\) 7.60572 6.38196i 0.297863 0.249937i
\(653\) 6.57680 18.0696i 0.257370 0.707119i −0.741957 0.670447i \(-0.766102\pi\)
0.999327 0.0366714i \(-0.0116755\pi\)
\(654\) −11.0297 14.8391i −0.431295 0.580254i
\(655\) 0.127258 0.721718i 0.00497239 0.0281998i
\(656\) −0.821470 1.42283i −0.0320730 0.0555521i
\(657\) −2.50594 3.82279i −0.0977658 0.149141i
\(658\) 5.25984 9.12621i 0.205050 0.355777i
\(659\) 38.6246 + 6.81055i 1.50460 + 0.265301i 0.864360 0.502874i \(-0.167724\pi\)
0.640239 + 0.768176i \(0.278835\pi\)
\(660\) 0.0643638 1.09074i 0.00250536 0.0424570i
\(661\) −34.0284 + 6.00013i −1.32355 + 0.233378i −0.790374 0.612624i \(-0.790114\pi\)
−0.533179 + 0.846003i \(0.679003\pi\)
\(662\) 12.1429 2.14112i 0.471948 0.0832172i
\(663\) −1.49532 0.985125i −0.0580735 0.0382591i
\(664\) −20.4611 3.60784i −0.794044 0.140011i
\(665\) −0.850679 + 1.47599i −0.0329879 + 0.0572365i
\(666\) −17.9906 + 7.72782i −0.697120 + 0.299447i
\(667\) −21.4184 37.0978i −0.829325 1.43643i
\(668\) −0.911408 + 5.16885i −0.0352634 + 0.199989i
\(669\) −16.2070 + 37.4934i −0.626599 + 1.44958i
\(670\) −0.464252 + 1.27552i −0.0179356 + 0.0492777i
\(671\) 14.3391 12.0320i 0.553556 0.464489i
\(672\) 24.4780 7.32800i 0.944259 0.282684i
\(673\) 13.9024 5.06006i 0.535898 0.195051i −0.0598720 0.998206i \(-0.519069\pi\)
0.595770 + 0.803155i \(0.296847\pi\)
\(674\) −9.80042 5.65828i −0.377498 0.217949i
\(675\) −25.5079 + 4.43752i −0.981798 + 0.170800i
\(676\) −2.39540 4.14895i −0.0921307 0.159575i
\(677\) −3.25288 + 18.4480i −0.125018 + 0.709015i 0.856278 + 0.516514i \(0.172771\pi\)
−0.981297 + 0.192500i \(0.938340\pi\)
\(678\) −4.53902 + 1.35512i −0.174320 + 0.0520430i
\(679\) 25.1046 21.0976i 0.963426 0.809650i
\(680\) 0.127784 0.0225318i 0.00490030 0.000864055i
\(681\) −3.40431 + 2.53038i −0.130453 + 0.0969642i
\(682\) 30.8575 + 5.44101i 1.18159 + 0.208347i
\(683\) 22.2418i 0.851057i −0.904945 0.425529i \(-0.860088\pi\)
0.904945 0.425529i \(-0.139912\pi\)
\(684\) 12.8191 12.0573i 0.490152 0.461022i
\(685\) −1.64674 + 0.950746i −0.0629187 + 0.0363261i
\(686\) −12.7329 10.6352i −0.486146 0.406053i
\(687\) 0.378946 + 0.249651i 0.0144577 + 0.00952479i
\(688\) −0.264051 + 0.221565i −0.0100669 + 0.00844710i
\(689\) −3.30794 18.7603i −0.126023 0.714710i
\(690\) −1.29776 0.0765798i −0.0494048 0.00291534i
\(691\) −1.75750 + 2.09450i −0.0668583 + 0.0796786i −0.798437 0.602078i \(-0.794339\pi\)
0.731579 + 0.681757i \(0.238784\pi\)
\(692\) 9.93535 + 17.2085i 0.377685 + 0.654170i
\(693\) 30.9556 7.31137i 1.17590 0.277736i
\(694\) −8.11734 + 14.0597i −0.308130 + 0.533697i
\(695\) 0.615627 + 1.69142i 0.0233521 + 0.0641593i
\(696\) −3.84538 33.1185i −0.145759 1.25535i
\(697\) −2.54084 + 2.13202i −0.0962414 + 0.0807561i
\(698\) 2.80828 + 15.9265i 0.106295 + 0.602828i
\(699\) 14.3851 + 48.1835i 0.544096 + 1.82247i
\(700\) 15.5498 + 2.72975i 0.587726 + 0.103175i
\(701\) 7.89910i 0.298345i −0.988811 0.149173i \(-0.952339\pi\)
0.988811 0.149173i \(-0.0476610\pi\)
\(702\) 4.74577 + 13.1324i 0.179117 + 0.495650i
\(703\) 30.9083 17.8449i 1.16573 0.673033i
\(704\) −13.7451 + 16.3808i −0.518038 + 0.617373i
\(705\) 0.969610 0.289476i 0.0365176 0.0109023i
\(706\) 9.00125 + 10.7273i 0.338766 + 0.403726i
\(707\) 6.42473 + 7.64497i 0.241627 + 0.287519i
\(708\) −0.296234 + 0.220187i −0.0111332 + 0.00827514i
\(709\) −32.6400 + 11.8800i −1.22582 + 0.446163i −0.872165 0.489212i \(-0.837284\pi\)
−0.353657 + 0.935375i \(0.615062\pi\)
\(710\) 0.0507954 0.00190632
\(711\) −2.80078 6.52028i −0.105037 0.244530i
\(712\) 44.1625i 1.65506i
\(713\) −9.66145 + 54.7928i −0.361824 + 2.05201i
\(714\) 0.634893 + 1.26420i 0.0237603 + 0.0473116i
\(715\) −1.48495 0.540478i −0.0555340 0.0202127i
\(716\) −8.01209 9.54844i −0.299426 0.356842i
\(717\) 2.73045 + 1.79883i 0.101971 + 0.0671787i
\(718\) −8.51341 + 3.09863i −0.317718 + 0.115640i
\(719\) −2.89130 −0.107827 −0.0539137 0.998546i \(-0.517170\pi\)
−0.0539137 + 0.998546i \(0.517170\pi\)
\(720\) −0.0601098 0.0303033i −0.00224016 0.00112934i
\(721\) −13.2593 22.9258i −0.493803 0.853803i
\(722\) 2.87581 3.42726i 0.107027 0.127549i
\(723\) 12.5984 29.1452i 0.468540 1.08392i
\(724\) 12.7521 + 15.1974i 0.473929 + 0.564807i
\(725\) 11.4528 31.4664i 0.425347 1.16863i
\(726\) −5.39063 + 5.70500i −0.200065 + 0.211733i
\(727\) −8.56203 23.5240i −0.317548 0.872456i −0.991076 0.133295i \(-0.957444\pi\)
0.673528 0.739161i \(-0.264778\pi\)
\(728\) −0.0171587 22.7344i −0.000635945 0.842593i
\(729\) −4.56667 26.6110i −0.169136 0.985593i
\(730\) 0.0897052 0.155374i 0.00332014 0.00575065i
\(731\) 0.533078 + 0.447306i 0.0197166 + 0.0165442i
\(732\) 2.77171 + 9.28395i 0.102445 + 0.343145i
\(733\) 17.9624 3.16725i 0.663455 0.116985i 0.168228 0.985748i \(-0.446196\pi\)
0.495228 + 0.868763i \(0.335085\pi\)
\(734\) 4.33397 + 24.5792i 0.159970 + 0.907234i
\(735\) −0.186203 1.58283i −0.00686821 0.0583835i
\(736\) −27.2259 22.8452i −1.00356 0.842086i
\(737\) −40.0060 + 23.0975i −1.47364 + 0.850806i
\(738\) 25.8233 1.46448i 0.950567 0.0539082i
\(739\) −11.8748 + 20.5677i −0.436821 + 0.756595i −0.997442 0.0714767i \(-0.977229\pi\)
0.560622 + 0.828072i \(0.310562\pi\)
\(740\) 0.878621 + 0.737251i 0.0322988 + 0.0271019i
\(741\) −11.4056 22.7537i −0.418995 0.835878i
\(742\) −5.13666 + 14.1461i −0.188573 + 0.519319i
\(743\) 3.47920 9.55903i 0.127640 0.350687i −0.859369 0.511357i \(-0.829143\pi\)
0.987008 + 0.160670i \(0.0513654\pi\)
\(744\) −23.8238 + 36.1622i −0.873424 + 1.32577i
\(745\) −0.731990 2.01113i −0.0268180 0.0736820i
\(746\) −15.3071 8.83756i −0.560433 0.323566i
\(747\) 13.0213 17.4350i 0.476423 0.637912i
\(748\) 1.43228 + 0.826928i 0.0523694 + 0.0302355i
\(749\) 11.4909 4.19218i 0.419869 0.153179i
\(750\) −1.21456 1.63403i −0.0443493 0.0596665i
\(751\) 13.1156 + 4.77368i 0.478594 + 0.174194i 0.570041 0.821616i \(-0.306927\pi\)
−0.0914474 + 0.995810i \(0.529149\pi\)
\(752\) −0.712923 0.259483i −0.0259976 0.00946236i
\(753\) −2.63890 + 11.0966i −0.0961668 + 0.404384i
\(754\) −17.7853 3.13603i −0.647702 0.114207i
\(755\) 0.557645 0.0202948
\(756\) −2.88380 + 16.2093i −0.104883 + 0.589526i
\(757\) −23.1271 −0.840570 −0.420285 0.907392i \(-0.638070\pi\)
−0.420285 + 0.907392i \(0.638070\pi\)
\(758\) 2.90795 + 0.512750i 0.105621 + 0.0186239i
\(759\) −32.1577 30.3857i −1.16725 1.10293i
\(760\) 1.73311 + 0.630799i 0.0628663 + 0.0228815i
\(761\) 15.7985 + 5.75019i 0.572696 + 0.208444i 0.612102 0.790779i \(-0.290324\pi\)
−0.0394059 + 0.999223i \(0.512547\pi\)
\(762\) 5.63017 13.0248i 0.203959 0.471841i
\(763\) −31.0536 5.45143i −1.12422 0.197355i
\(764\) −10.7597 6.21212i −0.389273 0.224747i
\(765\) −0.0391756 + 0.130132i −0.00141640 + 0.00470493i
\(766\) −23.9379 13.8206i −0.864912 0.499357i
\(767\) 0.182579 + 0.501631i 0.00659253 + 0.0181128i
\(768\) −12.7133 25.3625i −0.458752 0.915191i
\(769\) 5.01510 13.7789i 0.180849 0.496879i −0.815832 0.578290i \(-0.803720\pi\)
0.996681 + 0.0814109i \(0.0259426\pi\)
\(770\) 0.803207 + 0.955758i 0.0289456 + 0.0344431i
\(771\) −27.5872 + 41.8747i −0.993530 + 1.50808i
\(772\) 16.7257 + 14.0345i 0.601971 + 0.505114i
\(773\)