Properties

Label 91.2.ba.a.54.5
Level $91$
Weight $2$
Character 91.54
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 54.5
Character \(\chi\) \(=\) 91.54
Dual form 91.2.ba.a.59.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.203761 - 0.203761i) q^{2} +(0.923129 + 0.532969i) q^{3} +1.91696i q^{4} +(0.499383 - 0.133809i) q^{5} +(0.296695 - 0.0794993i) q^{6} +(-2.60732 - 0.449339i) q^{7} +(0.798123 + 0.798123i) q^{8} +(-0.931889 - 1.61408i) q^{9} +O(q^{10})\) \(q+(0.203761 - 0.203761i) q^{2} +(0.923129 + 0.532969i) q^{3} +1.91696i q^{4} +(0.499383 - 0.133809i) q^{5} +(0.296695 - 0.0794993i) q^{6} +(-2.60732 - 0.449339i) q^{7} +(0.798123 + 0.798123i) q^{8} +(-0.931889 - 1.61408i) q^{9} +(0.0744896 - 0.129020i) q^{10} +(3.69793 - 0.990856i) q^{11} +(-1.02168 + 1.76960i) q^{12} +(1.12494 - 3.42557i) q^{13} +(-0.622826 + 0.439711i) q^{14} +(0.532311 + 0.142632i) q^{15} -3.50867 q^{16} -4.52032 q^{17} +(-0.518768 - 0.139003i) q^{18} +(0.797839 - 2.97757i) q^{19} +(0.256508 + 0.957300i) q^{20} +(-2.16740 - 1.80442i) q^{21} +(0.551594 - 0.955389i) q^{22} +8.67873i q^{23} +(0.311396 + 1.16214i) q^{24} +(-4.09865 + 2.36636i) q^{25} +(-0.468776 - 0.927215i) q^{26} -5.18448i q^{27} +(0.861367 - 4.99813i) q^{28} +(1.26720 + 2.19486i) q^{29} +(0.137527 - 0.0794012i) q^{30} +(0.270595 - 1.00987i) q^{31} +(-2.31118 + 2.31118i) q^{32} +(3.94176 + 1.05619i) q^{33} +(-0.921063 + 0.921063i) q^{34} +(-1.36218 + 0.124491i) q^{35} +(3.09413 - 1.78640i) q^{36} +(-0.129500 - 0.129500i) q^{37} +(-0.444144 - 0.769281i) q^{38} +(2.86419 - 2.56268i) q^{39} +(0.505366 + 0.291773i) q^{40} +(1.79081 - 6.68338i) q^{41} +(-0.809301 + 0.0739629i) q^{42} +(4.59244 + 2.65145i) q^{43} +(1.89943 + 7.08879i) q^{44} +(-0.681349 - 0.681349i) q^{45} +(1.76838 + 1.76838i) q^{46} +(2.42047 + 9.03333i) q^{47} +(-3.23896 - 1.87001i) q^{48} +(6.59619 + 2.34314i) q^{49} +(-0.352973 + 1.31731i) q^{50} +(-4.17284 - 2.40919i) q^{51} +(6.56668 + 2.15648i) q^{52} +(0.512534 + 0.887735i) q^{53} +(-1.05639 - 1.05639i) q^{54} +(1.71410 - 0.989634i) q^{55} +(-1.72233 - 2.43959i) q^{56} +(2.32346 - 2.32346i) q^{57} +(0.705432 + 0.189020i) q^{58} +(0.368467 - 0.368467i) q^{59} +(-0.273421 + 1.02042i) q^{60} +(-7.39280 + 4.26823i) q^{61} +(-0.150636 - 0.260909i) q^{62} +(1.70446 + 4.62715i) q^{63} -6.07549i q^{64} +(0.103406 - 1.86120i) q^{65} +(1.01838 - 0.587965i) q^{66} +(-1.83243 - 6.83871i) q^{67} -8.66528i q^{68} +(-4.62549 + 8.01158i) q^{69} +(-0.252192 + 0.302924i) q^{70} +(1.96522 + 7.33429i) q^{71} +(0.544472 - 2.03200i) q^{72} +(-11.9468 - 3.20113i) q^{73} -0.0527740 q^{74} -5.04477 q^{75} +(5.70790 + 1.52943i) q^{76} +(-10.0869 + 0.921852i) q^{77} +(0.0614358 - 1.10578i) q^{78} +(3.77800 - 6.54369i) q^{79} +(-1.75217 + 0.469493i) q^{80} +(-0.0325003 + 0.0562921i) q^{81} +(-0.996914 - 1.72671i) q^{82} +(6.42827 + 6.42827i) q^{83} +(3.45900 - 4.15483i) q^{84} +(-2.25737 + 0.604861i) q^{85} +(1.47602 - 0.395498i) q^{86} +2.70152i q^{87} +(3.74222 + 2.16057i) q^{88} +(8.56976 - 8.56976i) q^{89} -0.277664 q^{90} +(-4.47233 + 8.42605i) q^{91} -16.6368 q^{92} +(0.788024 - 0.788024i) q^{93} +(2.33384 + 1.34744i) q^{94} -1.59371i q^{95} +(-3.36530 + 0.901729i) q^{96} +(-13.1956 + 3.53575i) q^{97} +(1.82148 - 0.866604i) q^{98} +(-5.04538 - 5.04538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.203761 0.203761i 0.144081 0.144081i −0.631387 0.775468i \(-0.717514\pi\)
0.775468 + 0.631387i \(0.217514\pi\)
\(3\) 0.923129 + 0.532969i 0.532969 + 0.307710i 0.742224 0.670151i \(-0.233771\pi\)
−0.209256 + 0.977861i \(0.567104\pi\)
\(4\) 1.91696i 0.958482i
\(5\) 0.499383 0.133809i 0.223331 0.0598414i −0.145418 0.989370i \(-0.546453\pi\)
0.368749 + 0.929529i \(0.379786\pi\)
\(6\) 0.296695 0.0794993i 0.121125 0.0324554i
\(7\) −2.60732 0.449339i −0.985473 0.169834i
\(8\) 0.798123 + 0.798123i 0.282179 + 0.282179i
\(9\) −0.931889 1.61408i −0.310630 0.538026i
\(10\) 0.0744896 0.129020i 0.0235557 0.0407996i
\(11\) 3.69793 0.990856i 1.11497 0.298754i 0.346122 0.938190i \(-0.387498\pi\)
0.768845 + 0.639435i \(0.220832\pi\)
\(12\) −1.02168 + 1.76960i −0.294934 + 0.510841i
\(13\) 1.12494 3.42557i 0.312003 0.950081i
\(14\) −0.622826 + 0.439711i −0.166457 + 0.117518i
\(15\) 0.532311 + 0.142632i 0.137442 + 0.0368275i
\(16\) −3.50867 −0.877169
\(17\) −4.52032 −1.09634 −0.548169 0.836368i \(-0.684675\pi\)
−0.548169 + 0.836368i \(0.684675\pi\)
\(18\) −0.518768 0.139003i −0.122275 0.0327634i
\(19\) 0.797839 2.97757i 0.183037 0.683103i −0.812006 0.583650i \(-0.801624\pi\)
0.995042 0.0994528i \(-0.0317092\pi\)
\(20\) 0.256508 + 0.957300i 0.0573569 + 0.214059i
\(21\) −2.16740 1.80442i −0.472966 0.393756i
\(22\) 0.551594 0.955389i 0.117600 0.203690i
\(23\) 8.67873i 1.80964i 0.425795 + 0.904820i \(0.359994\pi\)
−0.425795 + 0.904820i \(0.640006\pi\)
\(24\) 0.311396 + 1.16214i 0.0635634 + 0.237222i
\(25\) −4.09865 + 2.36636i −0.819730 + 0.473271i
\(26\) −0.468776 0.927215i −0.0919346 0.181842i
\(27\) 5.18448i 0.997754i
\(28\) 0.861367 4.99813i 0.162783 0.944557i
\(29\) 1.26720 + 2.19486i 0.235314 + 0.407575i 0.959364 0.282172i \(-0.0910549\pi\)
−0.724050 + 0.689747i \(0.757722\pi\)
\(30\) 0.137527 0.0794012i 0.0251089 0.0144966i
\(31\) 0.270595 1.00987i 0.0486002 0.181378i −0.937359 0.348365i \(-0.886737\pi\)
0.985959 + 0.166987i \(0.0534036\pi\)
\(32\) −2.31118 + 2.31118i −0.408562 + 0.408562i
\(33\) 3.94176 + 1.05619i 0.686172 + 0.183859i
\(34\) −0.921063 + 0.921063i −0.157961 + 0.157961i
\(35\) −1.36218 + 0.124491i −0.230250 + 0.0210428i
\(36\) 3.09413 1.78640i 0.515688 0.297733i
\(37\) −0.129500 0.129500i −0.0212897 0.0212897i 0.696382 0.717671i \(-0.254792\pi\)
−0.717671 + 0.696382i \(0.754792\pi\)
\(38\) −0.444144 0.769281i −0.0720497 0.124794i
\(39\) 2.86419 2.56268i 0.458637 0.410357i
\(40\) 0.505366 + 0.291773i 0.0799053 + 0.0461334i
\(41\) 1.79081 6.68338i 0.279677 1.04377i −0.672965 0.739674i \(-0.734980\pi\)
0.952642 0.304094i \(-0.0983538\pi\)
\(42\) −0.809301 + 0.0739629i −0.124878 + 0.0114127i
\(43\) 4.59244 + 2.65145i 0.700341 + 0.404342i 0.807474 0.589903i \(-0.200834\pi\)
−0.107134 + 0.994245i \(0.534167\pi\)
\(44\) 1.89943 + 7.08879i 0.286351 + 1.06867i
\(45\) −0.681349 0.681349i −0.101569 0.101569i
\(46\) 1.76838 + 1.76838i 0.260734 + 0.260734i
\(47\) 2.42047 + 9.03333i 0.353063 + 1.31765i 0.882905 + 0.469551i \(0.155584\pi\)
−0.529843 + 0.848096i \(0.677749\pi\)
\(48\) −3.23896 1.87001i −0.467503 0.269913i
\(49\) 6.59619 + 2.34314i 0.942313 + 0.334734i
\(50\) −0.352973 + 1.31731i −0.0499179 + 0.186296i
\(51\) −4.17284 2.40919i −0.584314 0.337354i
\(52\) 6.56668 + 2.15648i 0.910635 + 0.299050i
\(53\) 0.512534 + 0.887735i 0.0704019 + 0.121940i 0.899078 0.437789i \(-0.144238\pi\)
−0.828676 + 0.559729i \(0.810905\pi\)
\(54\) −1.05639 1.05639i −0.143757 0.143757i
\(55\) 1.71410 0.989634i 0.231129 0.133442i
\(56\) −1.72233 2.43959i −0.230156 0.326003i
\(57\) 2.32346 2.32346i 0.307750 0.307750i
\(58\) 0.705432 + 0.189020i 0.0926278 + 0.0248195i
\(59\) 0.368467 0.368467i 0.0479703 0.0479703i −0.682715 0.730685i \(-0.739201\pi\)
0.730685 + 0.682715i \(0.239201\pi\)
\(60\) −0.273421 + 1.02042i −0.0352985 + 0.131736i
\(61\) −7.39280 + 4.26823i −0.946551 + 0.546491i −0.892008 0.452020i \(-0.850704\pi\)
−0.0545432 + 0.998511i \(0.517370\pi\)
\(62\) −0.150636 0.260909i −0.0191308 0.0331355i
\(63\) 1.70446 + 4.62715i 0.214742 + 0.582966i
\(64\) 6.07549i 0.759437i
\(65\) 0.103406 1.86120i 0.0128259 0.230853i
\(66\) 1.01838 0.587965i 0.125355 0.0723735i
\(67\) −1.83243 6.83871i −0.223867 0.835482i −0.982855 0.184378i \(-0.940973\pi\)
0.758989 0.651104i \(-0.225694\pi\)
\(68\) 8.66528i 1.05082i
\(69\) −4.62549 + 8.01158i −0.556843 + 0.964481i
\(70\) −0.252192 + 0.302924i −0.0301427 + 0.0362064i
\(71\) 1.96522 + 7.33429i 0.233228 + 0.870420i 0.978940 + 0.204150i \(0.0654432\pi\)
−0.745711 + 0.666269i \(0.767890\pi\)
\(72\) 0.544472 2.03200i 0.0641666 0.239473i
\(73\) −11.9468 3.20113i −1.39826 0.374664i −0.520543 0.853835i \(-0.674271\pi\)
−0.877721 + 0.479171i \(0.840937\pi\)
\(74\) −0.0527740 −0.00613485
\(75\) −5.04477 −0.582520
\(76\) 5.70790 + 1.52943i 0.654741 + 0.175437i
\(77\) −10.0869 + 0.921852i −1.14951 + 0.105055i
\(78\) 0.0614358 1.10578i 0.00695623 0.125205i
\(79\) 3.77800 6.54369i 0.425058 0.736222i −0.571368 0.820694i \(-0.693587\pi\)
0.996426 + 0.0844720i \(0.0269204\pi\)
\(80\) −1.75217 + 0.469493i −0.195899 + 0.0524910i
\(81\) −0.0325003 + 0.0562921i −0.00361114 + 0.00625468i
\(82\) −0.996914 1.72671i −0.110091 0.190683i
\(83\) 6.42827 + 6.42827i 0.705594 + 0.705594i 0.965606 0.260011i \(-0.0837262\pi\)
−0.260011 + 0.965606i \(0.583726\pi\)
\(84\) 3.45900 4.15483i 0.377408 0.453330i
\(85\) −2.25737 + 0.604861i −0.244846 + 0.0656064i
\(86\) 1.47602 0.395498i 0.159163 0.0426477i
\(87\) 2.70152i 0.289633i
\(88\) 3.74222 + 2.16057i 0.398922 + 0.230318i
\(89\) 8.56976 8.56976i 0.908393 0.908393i −0.0877495 0.996143i \(-0.527967\pi\)
0.996143 + 0.0877495i \(0.0279675\pi\)
\(90\) −0.277664 −0.0292684
\(91\) −4.47233 + 8.42605i −0.468827 + 0.883290i
\(92\) −16.6368 −1.73451
\(93\) 0.788024 0.788024i 0.0817143 0.0817143i
\(94\) 2.33384 + 1.34744i 0.240717 + 0.138978i
\(95\) 1.59371i 0.163511i
\(96\) −3.36530 + 0.901729i −0.343469 + 0.0920323i
\(97\) −13.1956 + 3.53575i −1.33981 + 0.359001i −0.856364 0.516373i \(-0.827282\pi\)
−0.483446 + 0.875374i \(0.660615\pi\)
\(98\) 1.82148 0.866604i 0.183998 0.0875403i
\(99\) −5.04538 5.04538i −0.507079 0.507079i
\(100\) −4.53622 7.85696i −0.453622 0.785696i
\(101\) 0.555807 0.962686i 0.0553049 0.0957909i −0.837048 0.547130i \(-0.815720\pi\)
0.892352 + 0.451339i \(0.149054\pi\)
\(102\) −1.34116 + 0.359362i −0.132794 + 0.0355821i
\(103\) 0.214188 0.370984i 0.0211046 0.0365542i −0.855280 0.518166i \(-0.826615\pi\)
0.876385 + 0.481612i \(0.159948\pi\)
\(104\) 3.63187 1.83618i 0.356134 0.180052i
\(105\) −1.32381 0.611076i −0.129191 0.0596349i
\(106\) 0.285320 + 0.0764512i 0.0277127 + 0.00742559i
\(107\) 5.01634 0.484948 0.242474 0.970158i \(-0.422041\pi\)
0.242474 + 0.970158i \(0.422041\pi\)
\(108\) 9.93846 0.956329
\(109\) −0.820253 0.219786i −0.0785660 0.0210517i 0.219322 0.975653i \(-0.429616\pi\)
−0.297888 + 0.954601i \(0.596282\pi\)
\(110\) 0.147617 0.550914i 0.0140747 0.0525276i
\(111\) −0.0505257 0.188564i −0.00479569 0.0178977i
\(112\) 9.14822 + 1.57658i 0.864426 + 0.148973i
\(113\) 2.44889 4.24160i 0.230372 0.399016i −0.727546 0.686059i \(-0.759339\pi\)
0.957918 + 0.287043i \(0.0926724\pi\)
\(114\) 0.946860i 0.0886816i
\(115\) 1.16129 + 4.33401i 0.108291 + 0.404149i
\(116\) −4.20747 + 2.42918i −0.390653 + 0.225544i
\(117\) −6.57746 + 1.37650i −0.608086 + 0.127257i
\(118\) 0.150158i 0.0138232i
\(119\) 11.7859 + 2.03116i 1.08041 + 0.186196i
\(120\) 0.311012 + 0.538688i 0.0283914 + 0.0491753i
\(121\) 3.16658 1.82822i 0.287871 0.166202i
\(122\) −0.636663 + 2.37606i −0.0576408 + 0.215118i
\(123\) 5.21518 5.21518i 0.470237 0.470237i
\(124\) 1.93589 + 0.518720i 0.173848 + 0.0465824i
\(125\) −3.55803 + 3.55803i −0.318240 + 0.318240i
\(126\) 1.29013 + 0.595529i 0.114934 + 0.0530539i
\(127\) −3.00665 + 1.73589i −0.266797 + 0.154035i −0.627431 0.778672i \(-0.715894\pi\)
0.360634 + 0.932707i \(0.382560\pi\)
\(128\) −5.86030 5.86030i −0.517982 0.517982i
\(129\) 2.82628 + 4.89525i 0.248840 + 0.431003i
\(130\) −0.358169 0.400309i −0.0314135 0.0351094i
\(131\) 15.0157 + 8.66932i 1.31193 + 0.757442i 0.982415 0.186710i \(-0.0597823\pi\)
0.329512 + 0.944151i \(0.393116\pi\)
\(132\) −2.02468 + 7.55620i −0.176226 + 0.657683i
\(133\) −3.41816 + 7.40498i −0.296392 + 0.642093i
\(134\) −1.76684 1.02008i −0.152631 0.0881218i
\(135\) −0.693732 2.58904i −0.0597070 0.222829i
\(136\) −3.60777 3.60777i −0.309364 0.309364i
\(137\) −6.67957 6.67957i −0.570674 0.570674i 0.361643 0.932317i \(-0.382216\pi\)
−0.932317 + 0.361643i \(0.882216\pi\)
\(138\) 0.689952 + 2.57494i 0.0587327 + 0.219193i
\(139\) 13.1525 + 7.59358i 1.11558 + 0.644079i 0.940268 0.340434i \(-0.110574\pi\)
0.175310 + 0.984513i \(0.443907\pi\)
\(140\) −0.238644 2.61124i −0.0201691 0.220690i
\(141\) −2.58007 + 9.62897i −0.217281 + 0.810905i
\(142\) 1.89487 + 1.09401i 0.159014 + 0.0918069i
\(143\) 0.765718 13.7821i 0.0640325 1.15252i
\(144\) 3.26969 + 5.66328i 0.272475 + 0.471940i
\(145\) 0.926513 + 0.926513i 0.0769427 + 0.0769427i
\(146\) −3.08655 + 1.78202i −0.255444 + 0.147481i
\(147\) 4.84031 + 5.67858i 0.399222 + 0.468361i
\(148\) 0.248247 0.248247i 0.0204057 0.0204057i
\(149\) 13.8760 + 3.71806i 1.13677 + 0.304595i 0.777650 0.628698i \(-0.216412\pi\)
0.359116 + 0.933293i \(0.383078\pi\)
\(150\) −1.02793 + 1.02793i −0.0839298 + 0.0839298i
\(151\) 1.28473 4.79468i 0.104550 0.390185i −0.893744 0.448578i \(-0.851931\pi\)
0.998294 + 0.0583923i \(0.0185974\pi\)
\(152\) 3.01324 1.73970i 0.244406 0.141108i
\(153\) 4.21243 + 7.29615i 0.340555 + 0.589859i
\(154\) −1.86747 + 2.24315i −0.150485 + 0.180758i
\(155\) 0.540522i 0.0434157i
\(156\) 4.91256 + 5.49054i 0.393320 + 0.439595i
\(157\) 3.02404 1.74593i 0.241345 0.139340i −0.374450 0.927247i \(-0.622168\pi\)
0.615795 + 0.787907i \(0.288835\pi\)
\(158\) −0.563538 2.10315i −0.0448327 0.167318i
\(159\) 1.09266i 0.0866534i
\(160\) −0.844906 + 1.46342i −0.0667957 + 0.115693i
\(161\) 3.89969 22.6282i 0.307339 1.78335i
\(162\) 0.00484784 + 0.0180924i 0.000380882 + 0.00142147i
\(163\) 0.594214 2.21764i 0.0465424 0.173699i −0.938742 0.344620i \(-0.888008\pi\)
0.985285 + 0.170921i \(0.0546744\pi\)
\(164\) 12.8118 + 3.43291i 1.00043 + 0.268065i
\(165\) 2.10978 0.164246
\(166\) 2.61966 0.203325
\(167\) −20.2547 5.42723i −1.56736 0.419972i −0.632372 0.774665i \(-0.717919\pi\)
−0.934983 + 0.354693i \(0.884585\pi\)
\(168\) −0.289710 3.17000i −0.0223516 0.244571i
\(169\) −10.4690 7.70714i −0.805308 0.592857i
\(170\) −0.336717 + 0.583210i −0.0258250 + 0.0447302i
\(171\) −5.54954 + 1.48699i −0.424384 + 0.113713i
\(172\) −5.08273 + 8.80354i −0.387554 + 0.671263i
\(173\) −10.0438 17.3963i −0.763613 1.32262i −0.940977 0.338472i \(-0.890090\pi\)
0.177363 0.984145i \(-0.443243\pi\)
\(174\) 0.550463 + 0.550463i 0.0417305 + 0.0417305i
\(175\) 11.7498 4.32815i 0.888199 0.327178i
\(176\) −12.9748 + 3.47659i −0.978013 + 0.262058i
\(177\) 0.536524 0.143761i 0.0403276 0.0108058i
\(178\) 3.49236i 0.261764i
\(179\) −18.5574 10.7141i −1.38704 0.800810i −0.394062 0.919084i \(-0.628931\pi\)
−0.992981 + 0.118274i \(0.962264\pi\)
\(180\) 1.30612 1.30612i 0.0973525 0.0973525i
\(181\) 19.7532 1.46824 0.734121 0.679019i \(-0.237595\pi\)
0.734121 + 0.679019i \(0.237595\pi\)
\(182\) 0.805613 + 2.62818i 0.0597160 + 0.194814i
\(183\) −9.09934 −0.672643
\(184\) −6.92669 + 6.92669i −0.510642 + 0.510642i
\(185\) −0.0819984 0.0473418i −0.00602864 0.00348064i
\(186\) 0.321137i 0.0235469i
\(187\) −16.7158 + 4.47898i −1.22238 + 0.327536i
\(188\) −17.3166 + 4.63996i −1.26294 + 0.338404i
\(189\) −2.32959 + 13.5176i −0.169453 + 0.983259i
\(190\) −0.324735 0.324735i −0.0235588 0.0235588i
\(191\) 2.14939 + 3.72284i 0.155524 + 0.269376i 0.933250 0.359228i \(-0.116960\pi\)
−0.777726 + 0.628604i \(0.783627\pi\)
\(192\) 3.23805 5.60846i 0.233686 0.404756i
\(193\) 13.0919 3.50795i 0.942372 0.252508i 0.245250 0.969460i \(-0.421130\pi\)
0.697123 + 0.716952i \(0.254463\pi\)
\(194\) −1.96830 + 3.40919i −0.141315 + 0.244766i
\(195\) 1.08742 1.66301i 0.0778716 0.119091i
\(196\) −4.49171 + 12.6447i −0.320836 + 0.903189i
\(197\) 3.69905 + 0.991158i 0.263546 + 0.0706171i 0.388173 0.921587i \(-0.373106\pi\)
−0.124626 + 0.992204i \(0.539773\pi\)
\(198\) −2.05610 −0.146121
\(199\) −10.5082 −0.744906 −0.372453 0.928051i \(-0.621483\pi\)
−0.372453 + 0.928051i \(0.621483\pi\)
\(200\) −5.15987 1.38258i −0.364858 0.0977634i
\(201\) 1.95325 7.28964i 0.137772 0.514171i
\(202\) −0.0829059 0.309409i −0.00583324 0.0217700i
\(203\) −2.31776 6.29210i −0.162675 0.441619i
\(204\) 4.61832 7.99917i 0.323347 0.560054i
\(205\) 3.57720i 0.249842i
\(206\) −0.0319489 0.119235i −0.00222599 0.00830750i
\(207\) 14.0081 8.08761i 0.973633 0.562128i
\(208\) −3.94706 + 12.0192i −0.273680 + 0.833381i
\(209\) 11.8014i 0.816319i
\(210\) −0.394254 + 0.145228i −0.0272061 + 0.0100217i
\(211\) −3.87722 6.71554i −0.266919 0.462317i 0.701146 0.713018i \(-0.252672\pi\)
−0.968065 + 0.250701i \(0.919339\pi\)
\(212\) −1.70175 + 0.982508i −0.116877 + 0.0674790i
\(213\) −2.09480 + 7.81789i −0.143533 + 0.535673i
\(214\) 1.02213 1.02213i 0.0698715 0.0698715i
\(215\) 2.64818 + 0.709577i 0.180604 + 0.0483927i
\(216\) 4.13785 4.13785i 0.281545 0.281545i
\(217\) −1.15930 + 2.51147i −0.0786984 + 0.170490i
\(218\) −0.211919 + 0.122352i −0.0143530 + 0.00828669i
\(219\) −9.32231 9.32231i −0.629943 0.629943i
\(220\) 1.89709 + 3.28586i 0.127902 + 0.221533i
\(221\) −5.08511 + 15.4846i −0.342061 + 1.04161i
\(222\) −0.0487172 0.0281269i −0.00326968 0.00188775i
\(223\) −6.07469 + 22.6710i −0.406791 + 1.51817i 0.393937 + 0.919138i \(0.371113\pi\)
−0.800728 + 0.599028i \(0.795554\pi\)
\(224\) 7.06447 4.98746i 0.472015 0.333239i
\(225\) 7.63897 + 4.41036i 0.509265 + 0.294024i
\(226\) −0.365284 1.36326i −0.0242983 0.0906825i
\(227\) −4.35743 4.35743i −0.289213 0.289213i 0.547556 0.836769i \(-0.315558\pi\)
−0.836769 + 0.547556i \(0.815558\pi\)
\(228\) 4.45399 + 4.45399i 0.294973 + 0.294973i
\(229\) −2.94756 11.0005i −0.194780 0.726931i −0.992324 0.123669i \(-0.960534\pi\)
0.797543 0.603262i \(-0.206133\pi\)
\(230\) 1.11973 + 0.646475i 0.0738326 + 0.0426273i
\(231\) −9.80281 4.52501i −0.644978 0.297724i
\(232\) −0.740385 + 2.76315i −0.0486086 + 0.181410i
\(233\) 12.9075 + 7.45218i 0.845602 + 0.488208i 0.859164 0.511700i \(-0.170984\pi\)
−0.0135628 + 0.999908i \(0.504317\pi\)
\(234\) −1.05975 + 1.62070i −0.0692781 + 0.105949i
\(235\) 2.41749 + 4.18721i 0.157700 + 0.273144i
\(236\) 0.706338 + 0.706338i 0.0459787 + 0.0459787i
\(237\) 6.97516 4.02711i 0.453085 0.261589i
\(238\) 2.81537 1.98763i 0.182493 0.128839i
\(239\) 20.4619 20.4619i 1.32357 1.32357i 0.412706 0.910864i \(-0.364584\pi\)
0.910864 0.412706i \(-0.135416\pi\)
\(240\) −1.86771 0.500451i −0.120560 0.0323039i
\(241\) 13.0056 13.0056i 0.837762 0.837762i −0.150802 0.988564i \(-0.548185\pi\)
0.988564 + 0.150802i \(0.0481855\pi\)
\(242\) 0.272704 1.01774i 0.0175301 0.0654230i
\(243\) −13.5297 + 7.81137i −0.867930 + 0.501099i
\(244\) −8.18205 14.1717i −0.523802 0.907252i
\(245\) 3.60756 + 0.287492i 0.230479 + 0.0183672i
\(246\) 2.12530i 0.135504i
\(247\) −9.30235 6.08266i −0.591895 0.387030i
\(248\) 1.02197 0.590035i 0.0648952 0.0374672i
\(249\) 2.50806 + 9.36019i 0.158942 + 0.593178i
\(250\) 1.44997i 0.0917043i
\(251\) 3.43367 5.94730i 0.216731 0.375390i −0.737075 0.675811i \(-0.763794\pi\)
0.953807 + 0.300421i \(0.0971271\pi\)
\(252\) −8.87007 + 3.26739i −0.558762 + 0.205826i
\(253\) 8.59937 + 32.0933i 0.540638 + 2.01769i
\(254\) −0.258931 + 0.966343i −0.0162468 + 0.0606338i
\(255\) −2.40622 0.644744i −0.150683 0.0403754i
\(256\) 9.76279 0.610175
\(257\) 8.32966 0.519590 0.259795 0.965664i \(-0.416345\pi\)
0.259795 + 0.965664i \(0.416345\pi\)
\(258\) 1.57334 + 0.421576i 0.0979521 + 0.0262462i
\(259\) 0.279458 + 0.395836i 0.0173647 + 0.0245961i
\(260\) 3.56785 + 0.198225i 0.221269 + 0.0122934i
\(261\) 2.36179 4.09073i 0.146191 0.253210i
\(262\) 4.82607 1.29314i 0.298156 0.0798906i
\(263\) 1.35186 2.34149i 0.0833593 0.144383i −0.821332 0.570451i \(-0.806768\pi\)
0.904691 + 0.426069i \(0.140102\pi\)
\(264\) 2.30304 + 3.98898i 0.141742 + 0.245505i
\(265\) 0.374738 + 0.374738i 0.0230200 + 0.0230200i
\(266\) 0.812357 + 2.20533i 0.0498088 + 0.135217i
\(267\) 12.4784 3.34358i 0.763666 0.204624i
\(268\) 13.1096 3.51270i 0.800794 0.214572i
\(269\) 23.3633i 1.42448i 0.701934 + 0.712242i \(0.252320\pi\)
−0.701934 + 0.712242i \(0.747680\pi\)
\(270\) −0.668901 0.386190i −0.0407080 0.0235028i
\(271\) −9.39907 + 9.39907i −0.570953 + 0.570953i −0.932395 0.361442i \(-0.882285\pi\)
0.361442 + 0.932395i \(0.382285\pi\)
\(272\) 15.8603 0.961673
\(273\) −8.61935 + 5.39472i −0.521667 + 0.326503i
\(274\) −2.72207 −0.164446
\(275\) −12.8118 + 12.8118i −0.772579 + 0.772579i
\(276\) −15.3579 8.86689i −0.924437 0.533724i
\(277\) 4.84110i 0.290873i 0.989368 + 0.145437i \(0.0464587\pi\)
−0.989368 + 0.145437i \(0.953541\pi\)
\(278\) 4.22723 1.13268i 0.253532 0.0679338i
\(279\) −1.88218 + 0.504328i −0.112683 + 0.0301933i
\(280\) −1.18654 0.987825i −0.0709095 0.0590338i
\(281\) 8.60836 + 8.60836i 0.513532 + 0.513532i 0.915607 0.402075i \(-0.131711\pi\)
−0.402075 + 0.915607i \(0.631711\pi\)
\(282\) 1.43629 + 2.48772i 0.0855297 + 0.148142i
\(283\) −0.527867 + 0.914293i −0.0313784 + 0.0543491i −0.881288 0.472579i \(-0.843323\pi\)
0.849910 + 0.526928i \(0.176656\pi\)
\(284\) −14.0596 + 3.76725i −0.834281 + 0.223545i
\(285\) 0.849397 1.47120i 0.0503140 0.0871463i
\(286\) −2.65224 2.96428i −0.156830 0.175282i
\(287\) −7.67230 + 16.6210i −0.452882 + 0.981107i
\(288\) 5.88418 + 1.57666i 0.346729 + 0.0929056i
\(289\) 3.43328 0.201958
\(290\) 0.377574 0.0221719
\(291\) −14.0657 3.76889i −0.824544 0.220936i
\(292\) 6.13645 22.9015i 0.359108 1.34021i
\(293\) −5.31237 19.8260i −0.310352 1.15825i −0.928240 0.371983i \(-0.878678\pi\)
0.617888 0.786266i \(-0.287989\pi\)
\(294\) 2.14334 + 0.170806i 0.125002 + 0.00996160i
\(295\) 0.134702 0.233311i 0.00784266 0.0135839i
\(296\) 0.206714i 0.0120150i
\(297\) −5.13708 19.1718i −0.298083 1.11246i
\(298\) 3.58498 2.06979i 0.207672 0.119900i
\(299\) 29.7295 + 9.76308i 1.71930 + 0.564614i
\(300\) 9.67064i 0.558335i
\(301\) −10.7825 8.97672i −0.621495 0.517410i
\(302\) −0.715189 1.23874i −0.0411545 0.0712817i
\(303\) 1.02616 0.592456i 0.0589515 0.0340357i
\(304\) −2.79936 + 10.4473i −0.160554 + 0.599196i
\(305\) −3.12071 + 3.12071i −0.178691 + 0.178691i
\(306\) 2.34500 + 0.628340i 0.134055 + 0.0359198i
\(307\) 7.23927 7.23927i 0.413167 0.413167i −0.469673 0.882840i \(-0.655628\pi\)
0.882840 + 0.469673i \(0.155628\pi\)
\(308\) −1.76716 19.3362i −0.100693 1.10178i
\(309\) 0.395446 0.228311i 0.0224961 0.0129881i
\(310\) −0.110137 0.110137i −0.00625536 0.00625536i
\(311\) 4.86207 + 8.42134i 0.275702 + 0.477531i 0.970312 0.241856i \(-0.0777562\pi\)
−0.694610 + 0.719387i \(0.744423\pi\)
\(312\) 4.33131 + 0.240642i 0.245212 + 0.0136236i
\(313\) 14.4470 + 8.34100i 0.816595 + 0.471461i 0.849241 0.528006i \(-0.177060\pi\)
−0.0326459 + 0.999467i \(0.510393\pi\)
\(314\) 0.260429 0.971933i 0.0146968 0.0548494i
\(315\) 1.47033 + 2.08265i 0.0828440 + 0.117344i
\(316\) 12.5440 + 7.24228i 0.705655 + 0.407410i
\(317\) 2.75827 + 10.2940i 0.154920 + 0.578170i 0.999112 + 0.0421288i \(0.0134140\pi\)
−0.844192 + 0.536041i \(0.819919\pi\)
\(318\) 0.222641 + 0.222641i 0.0124851 + 0.0124851i
\(319\) 6.86081 + 6.86081i 0.384132 + 0.384132i
\(320\) −0.812958 3.03400i −0.0454457 0.169606i
\(321\) 4.63073 + 2.67355i 0.258462 + 0.149223i
\(322\) −3.81613 5.40534i −0.212665 0.301228i
\(323\) −3.60649 + 13.4596i −0.200670 + 0.748911i
\(324\) −0.107910 0.0623018i −0.00599499 0.00346121i
\(325\) 3.49536 + 16.7022i 0.193887 + 0.926472i
\(326\) −0.330790 0.572944i −0.0183207 0.0317325i
\(327\) −0.640060 0.640060i −0.0353954 0.0353954i
\(328\) 6.76344 3.90488i 0.373449 0.215611i
\(329\) −2.25191 24.6404i −0.124152 1.35847i
\(330\) 0.429889 0.429889i 0.0236646 0.0236646i
\(331\) −33.1191 8.87424i −1.82039 0.487772i −0.823553 0.567239i \(-0.808012\pi\)
−0.996838 + 0.0794669i \(0.974678\pi\)
\(332\) −12.3228 + 12.3228i −0.676299 + 0.676299i
\(333\) −0.0883435 + 0.329703i −0.00484120 + 0.0180676i
\(334\) −5.23296 + 3.02125i −0.286335 + 0.165316i
\(335\) −1.83017 3.16994i −0.0999927 0.173192i
\(336\) 7.60472 + 6.33111i 0.414871 + 0.345390i
\(337\) 32.8040i 1.78695i −0.449117 0.893473i \(-0.648261\pi\)
0.449117 0.893473i \(-0.351739\pi\)
\(338\) −3.70358 + 0.562758i −0.201448 + 0.0306100i
\(339\) 4.52128 2.61036i 0.245562 0.141775i
\(340\) −1.15950 4.32730i −0.0628825 0.234681i
\(341\) 4.00255i 0.216750i
\(342\) −0.827787 + 1.43377i −0.0447616 + 0.0775293i
\(343\) −16.1455 9.07323i −0.871774 0.489908i
\(344\) 1.54915 + 5.78151i 0.0835247 + 0.311718i
\(345\) −1.23787 + 4.61978i −0.0666445 + 0.248721i
\(346\) −5.59121 1.49816i −0.300585 0.0805416i
\(347\) 9.06551 0.486662 0.243331 0.969943i \(-0.421760\pi\)
0.243331 + 0.969943i \(0.421760\pi\)
\(348\) −5.17871 −0.277608
\(349\) −27.6016 7.39582i −1.47748 0.395889i −0.571990 0.820261i \(-0.693828\pi\)
−0.905488 + 0.424372i \(0.860495\pi\)
\(350\) 1.51223 3.27605i 0.0808322 0.175112i
\(351\) −17.7598 5.83225i −0.947947 0.311303i
\(352\) −6.25651 + 10.8366i −0.333473 + 0.577593i
\(353\) −19.4183 + 5.20313i −1.03353 + 0.276935i −0.735431 0.677599i \(-0.763020\pi\)
−0.298103 + 0.954534i \(0.596354\pi\)
\(354\) 0.0800296 0.138615i 0.00425353 0.00736733i
\(355\) 1.96279 + 3.39966i 0.104174 + 0.180435i
\(356\) 16.4279 + 16.4279i 0.870678 + 0.870678i
\(357\) 9.79736 + 8.15653i 0.518531 + 0.431689i
\(358\) −5.96438 + 1.59815i −0.315227 + 0.0844649i
\(359\) −29.7920 + 7.98274i −1.57236 + 0.421313i −0.936551 0.350532i \(-0.886001\pi\)
−0.635811 + 0.771845i \(0.719334\pi\)
\(360\) 1.08760i 0.0573216i
\(361\) 8.22508 + 4.74875i 0.432899 + 0.249934i
\(362\) 4.02492 4.02492i 0.211545 0.211545i
\(363\) 3.89754 0.204568
\(364\) −16.1524 8.57328i −0.846617 0.449362i
\(365\) −6.39436 −0.334696
\(366\) −1.85409 + 1.85409i −0.0969147 + 0.0969147i
\(367\) 4.59522 + 2.65305i 0.239869 + 0.138488i 0.615116 0.788436i \(-0.289109\pi\)
−0.375248 + 0.926925i \(0.622442\pi\)
\(368\) 30.4508i 1.58736i
\(369\) −12.4563 + 3.33766i −0.648451 + 0.173752i
\(370\) −0.0263544 + 0.00706165i −0.00137010 + 0.000367118i
\(371\) −0.937444 2.54491i −0.0486696 0.132125i
\(372\) 1.51061 + 1.51061i 0.0783216 + 0.0783216i
\(373\) 12.2831 + 21.2749i 0.635993 + 1.10157i 0.986304 + 0.164938i \(0.0527425\pi\)
−0.350311 + 0.936633i \(0.613924\pi\)
\(374\) −2.49338 + 4.31866i −0.128930 + 0.223313i
\(375\) −5.18083 + 1.38820i −0.267537 + 0.0716863i
\(376\) −5.27788 + 9.14155i −0.272186 + 0.471439i
\(377\) 8.94417 1.87179i 0.460648 0.0964022i
\(378\) 2.27967 + 3.22903i 0.117254 + 0.166083i
\(379\) 21.0045 + 5.62815i 1.07893 + 0.289099i 0.754158 0.656693i \(-0.228045\pi\)
0.324773 + 0.945792i \(0.394712\pi\)
\(380\) 3.05508 0.156722
\(381\) −3.70070 −0.189593
\(382\) 1.19653 + 0.320609i 0.0612198 + 0.0164038i
\(383\) 3.03913 11.3422i 0.155292 0.579558i −0.843788 0.536677i \(-0.819679\pi\)
0.999080 0.0428816i \(-0.0136538\pi\)
\(384\) −2.28645 8.53317i −0.116680 0.435456i
\(385\) −4.91387 + 1.81008i −0.250434 + 0.0922501i
\(386\) 1.95282 3.38239i 0.0993961 0.172159i
\(387\) 9.88341i 0.502402i
\(388\) −6.77790 25.2955i −0.344096 1.28418i
\(389\) −30.3210 + 17.5058i −1.53733 + 0.887580i −0.538341 + 0.842727i \(0.680949\pi\)
−0.998994 + 0.0448528i \(0.985718\pi\)
\(390\) −0.117284 0.560430i −0.00593890 0.0283785i
\(391\) 39.2306i 1.98398i
\(392\) 3.39446 + 7.13468i 0.171446 + 0.360356i
\(393\) 9.24095 + 16.0058i 0.466144 + 0.807385i
\(394\) 0.955680 0.551762i 0.0481465 0.0277974i
\(395\) 1.01106 3.77334i 0.0508721 0.189857i
\(396\) 9.67180 9.67180i 0.486026 0.486026i
\(397\) 7.73441 + 2.07243i 0.388179 + 0.104012i 0.447630 0.894219i \(-0.352268\pi\)
−0.0594508 + 0.998231i \(0.518935\pi\)
\(398\) −2.14116 + 2.14116i −0.107326 + 0.107326i
\(399\) −7.10202 + 5.01398i −0.355546 + 0.251013i
\(400\) 14.3808 8.30277i 0.719041 0.415139i
\(401\) 19.3159 + 19.3159i 0.964591 + 0.964591i 0.999394 0.0348028i \(-0.0110803\pi\)
−0.0348028 + 0.999394i \(0.511080\pi\)
\(402\) −1.08735 1.88334i −0.0542319 0.0939323i
\(403\) −3.15498 2.06299i −0.157161 0.102765i
\(404\) 1.84543 + 1.06546i 0.0918138 + 0.0530087i
\(405\) −0.00869768 + 0.0324602i −0.000432191 + 0.00161296i
\(406\) −1.75435 0.809813i −0.0870670 0.0401904i
\(407\) −0.607197 0.350565i −0.0300976 0.0173769i
\(408\) −1.40761 5.25326i −0.0696870 0.260075i
\(409\) 4.04580 + 4.04580i 0.200052 + 0.200052i 0.800022 0.599970i \(-0.204821\pi\)
−0.599970 + 0.800022i \(0.704821\pi\)
\(410\) −0.728892 0.728892i −0.0359974 0.0359974i
\(411\) −2.60610 9.72610i −0.128549 0.479753i
\(412\) 0.711163 + 0.410590i 0.0350365 + 0.0202283i
\(413\) −1.12628 + 0.795144i −0.0554205 + 0.0391265i
\(414\) 1.20637 4.50225i 0.0592900 0.221273i
\(415\) 4.07033 + 2.35001i 0.199805 + 0.115357i
\(416\) 5.31714 + 10.5170i 0.260694 + 0.515640i
\(417\) 8.09428 + 14.0197i 0.396379 + 0.686548i
\(418\) −2.40466 2.40466i −0.117616 0.117616i
\(419\) −13.3221 + 7.69152i −0.650828 + 0.375755i −0.788773 0.614684i \(-0.789283\pi\)
0.137946 + 0.990440i \(0.455950\pi\)
\(420\) 1.17141 2.53770i 0.0571590 0.123827i
\(421\) 4.76255 4.76255i 0.232112 0.232112i −0.581462 0.813574i \(-0.697519\pi\)
0.813574 + 0.581462i \(0.197519\pi\)
\(422\) −2.15839 0.578338i −0.105069 0.0281531i
\(423\) 12.3249 12.3249i 0.599257 0.599257i
\(424\) −0.299456 + 1.11759i −0.0145429 + 0.0542748i
\(425\) 18.5272 10.6967i 0.898701 0.518865i
\(426\) 1.16614 + 2.01982i 0.0564997 + 0.0978604i
\(427\) 21.1932 7.80676i 1.02561 0.377796i
\(428\) 9.61614i 0.464814i
\(429\) 8.05231 12.3146i 0.388769 0.594554i
\(430\) 0.684178 0.395010i 0.0329940 0.0190491i
\(431\) 4.36813 + 16.3021i 0.210406 + 0.785244i 0.987734 + 0.156149i \(0.0499079\pi\)
−0.777328 + 0.629095i \(0.783425\pi\)
\(432\) 18.1907i 0.875198i
\(433\) −4.63490 + 8.02787i −0.222739 + 0.385795i −0.955639 0.294542i \(-0.904833\pi\)
0.732900 + 0.680337i \(0.238166\pi\)
\(434\) 0.275518 + 0.747958i 0.0132253 + 0.0359031i
\(435\) 0.361488 + 1.34909i 0.0173320 + 0.0646841i
\(436\) 0.421322 1.57240i 0.0201777 0.0753041i
\(437\) 25.8416 + 6.92422i 1.23617 + 0.331231i
\(438\) −3.79904 −0.181525
\(439\) −17.4133 −0.831090 −0.415545 0.909573i \(-0.636409\pi\)
−0.415545 + 0.909573i \(0.636409\pi\)
\(440\) 2.15791 + 0.578210i 0.102874 + 0.0275651i
\(441\) −2.36491 12.8303i −0.112615 0.610967i
\(442\) 2.11902 + 4.19131i 0.100791 + 0.199360i
\(443\) −5.09769 + 8.82945i −0.242198 + 0.419500i −0.961340 0.275363i \(-0.911202\pi\)
0.719142 + 0.694863i \(0.244535\pi\)
\(444\) 0.361471 0.0968559i 0.0171547 0.00459658i
\(445\) 3.13288 5.42631i 0.148513 0.257232i
\(446\) 3.38168 + 5.85725i 0.160127 + 0.277349i
\(447\) 10.8277 + 10.8277i 0.512133 + 0.512133i
\(448\) −2.72996 + 15.8407i −0.128978 + 0.748404i
\(449\) −17.5974 + 4.71520i −0.830471 + 0.222524i −0.648919 0.760857i \(-0.724779\pi\)
−0.181552 + 0.983381i \(0.558112\pi\)
\(450\) 2.45518 0.657863i 0.115738 0.0310120i
\(451\) 26.4891i 1.24732i
\(452\) 8.13099 + 4.69443i 0.382449 + 0.220807i
\(453\) 3.74139 3.74139i 0.175786 0.175786i
\(454\) −1.77575 −0.0833399
\(455\) −1.10592 + 4.80627i −0.0518464 + 0.225321i
\(456\) 3.70882 0.173681
\(457\) 23.8543 23.8543i 1.11586 1.11586i 0.123515 0.992343i \(-0.460583\pi\)
0.992343 0.123515i \(-0.0394167\pi\)
\(458\) −2.84206 1.64086i −0.132801 0.0766725i
\(459\) 23.4355i 1.09388i
\(460\) −8.30814 + 2.22616i −0.387369 + 0.103795i
\(461\) −10.9633 + 2.93760i −0.510611 + 0.136818i −0.504920 0.863166i \(-0.668478\pi\)
−0.00569051 + 0.999984i \(0.501811\pi\)
\(462\) −2.91945 + 1.07541i −0.135825 + 0.0500326i
\(463\) −4.05208 4.05208i −0.188316 0.188316i 0.606652 0.794968i \(-0.292512\pi\)
−0.794968 + 0.606652i \(0.792512\pi\)
\(464\) −4.44620 7.70105i −0.206410 0.357512i
\(465\) 0.288081 0.498971i 0.0133594 0.0231392i
\(466\) 4.14851 1.11159i 0.192176 0.0514934i
\(467\) −18.1856 + 31.4984i −0.841529 + 1.45757i 0.0470722 + 0.998891i \(0.485011\pi\)
−0.888602 + 0.458680i \(0.848322\pi\)
\(468\) −2.63870 12.6087i −0.121974 0.582839i
\(469\) 1.70482 + 18.6541i 0.0787211 + 0.861364i
\(470\) 1.34578 + 0.360600i 0.0620762 + 0.0166333i
\(471\) 3.72211 0.171506
\(472\) 0.588164 0.0270725
\(473\) 19.6097 + 5.25440i 0.901655 + 0.241598i
\(474\) 0.600696 2.24183i 0.0275909 0.102971i
\(475\) 3.77594 + 14.0920i 0.173252 + 0.646585i
\(476\) −3.89365 + 22.5931i −0.178465 + 1.03555i
\(477\) 0.955249 1.65454i 0.0437379 0.0757562i
\(478\) 8.33866i 0.381401i
\(479\) 6.29114 + 23.4789i 0.287449 + 1.07278i 0.947031 + 0.321143i \(0.104067\pi\)
−0.659581 + 0.751633i \(0.729266\pi\)
\(480\) −1.55991 + 0.900617i −0.0712000 + 0.0411073i
\(481\) −0.589291 + 0.297930i −0.0268693 + 0.0135844i
\(482\) 5.30005i 0.241411i
\(483\) 15.6600 18.8103i 0.712556 0.855899i
\(484\) 3.50464 + 6.07021i 0.159302 + 0.275919i
\(485\) −6.11654 + 3.53139i −0.277738 + 0.160352i
\(486\) −1.16517 + 4.34847i −0.0528531 + 0.197250i
\(487\) 18.8377 18.8377i 0.853616 0.853616i −0.136960 0.990577i \(-0.543733\pi\)
0.990577 + 0.136960i \(0.0437333\pi\)
\(488\) −9.30694 2.49379i −0.421305 0.112888i
\(489\) 1.73047 1.73047i 0.0782544 0.0782544i
\(490\) 0.793659 0.676499i 0.0358538 0.0305611i
\(491\) −15.2520 + 8.80574i −0.688313 + 0.397398i −0.802980 0.596006i \(-0.796753\pi\)
0.114667 + 0.993404i \(0.463420\pi\)
\(492\) 9.99730 + 9.99730i 0.450713 + 0.450713i
\(493\) −5.72816 9.92147i −0.257983 0.446840i
\(494\) −3.13486 + 0.656048i −0.141044 + 0.0295170i
\(495\) −3.19469 1.84446i −0.143591 0.0829022i
\(496\) −0.949428 + 3.54331i −0.0426306 + 0.159099i
\(497\) −1.82836 20.0058i −0.0820130 0.897385i
\(498\) 2.41828 + 1.39620i 0.108366 + 0.0625650i
\(499\) −3.93339 14.6796i −0.176083 0.657149i −0.996365 0.0851901i \(-0.972850\pi\)
0.820282 0.571959i \(-0.193816\pi\)
\(500\) −6.82061 6.82061i −0.305027 0.305027i
\(501\) −15.8051 15.8051i −0.706122 0.706122i
\(502\) −0.512177 1.91147i −0.0228596 0.0853132i
\(503\) 3.91743 + 2.26173i 0.174669 + 0.100845i 0.584786 0.811188i \(-0.301179\pi\)
−0.410116 + 0.912033i \(0.634512\pi\)
\(504\) −2.33266 + 5.05340i −0.103905 + 0.225096i
\(505\) 0.148744 0.555122i 0.00661904 0.0247026i
\(506\) 8.29156 + 4.78713i 0.368605 + 0.212814i
\(507\) −5.55657 12.6943i −0.246776 0.563775i
\(508\) −3.32764 5.76364i −0.147640 0.255720i
\(509\) −27.1759 27.1759i −1.20455 1.20455i −0.972767 0.231785i \(-0.925543\pi\)
−0.231785 0.972767i \(-0.574457\pi\)
\(510\) −0.621666 + 0.358919i −0.0275278 + 0.0158932i
\(511\) 29.7106 + 13.7145i 1.31432 + 0.606694i
\(512\) 13.7099 13.7099i 0.605896 0.605896i
\(513\) −15.4372 4.13638i −0.681568 0.182626i
\(514\) 1.69726 1.69726i 0.0748628 0.0748628i
\(515\) 0.0573207 0.213924i 0.00252585 0.00942660i
\(516\) −9.38402 + 5.41787i −0.413108 + 0.238508i
\(517\) 17.9015 + 31.0063i 0.787306 + 1.36365i
\(518\) 0.137598 + 0.0237134i 0.00604573 + 0.00104191i
\(519\) 21.4121i 0.939885i
\(520\) 1.56800 1.40294i 0.0687612 0.0615228i
\(521\) 31.7542 18.3333i 1.39117 0.803195i 0.397729 0.917503i \(-0.369798\pi\)
0.993445 + 0.114308i \(0.0364649\pi\)
\(522\) −0.352291 1.31477i −0.0154194 0.0575459i
\(523\) 10.5291i 0.460407i 0.973143 + 0.230203i \(0.0739391\pi\)
−0.973143 + 0.230203i \(0.926061\pi\)
\(524\) −16.6188 + 28.7845i −0.725994 + 1.25746i
\(525\) 13.1533 + 2.26681i 0.574058 + 0.0989319i
\(526\) −0.201648 0.752560i −0.00879226 0.0328132i
\(527\) −1.22317 + 4.56495i −0.0532823 + 0.198852i
\(528\) −13.8303 3.70583i −0.601888 0.161275i
\(529\) −52.3203 −2.27479
\(530\) 0.152714 0.00663346
\(531\) −0.938106 0.251365i −0.0407103 0.0109083i
\(532\) −14.1951 6.55248i −0.615434 0.284086i
\(533\) −20.8798 13.6530i −0.904404 0.591375i
\(534\) 1.86132 3.22390i 0.0805472 0.139512i
\(535\) 2.50508 0.671233i 0.108304 0.0290199i
\(536\) 3.99563 6.92064i 0.172585 0.298926i
\(537\) −11.4206 19.7810i −0.492834 0.853613i
\(538\) 4.76052 + 4.76052i 0.205241 + 0.205241i
\(539\) 26.7139 + 2.12887i 1.15065 + 0.0916971i
\(540\) 4.96310 1.32986i 0.213578 0.0572280i
\(541\) −11.8482 + 3.17473i −0.509396 + 0.136492i −0.504357 0.863495i \(-0.668271\pi\)
−0.00503858 + 0.999987i \(0.501604\pi\)
\(542\) 3.83032i 0.164526i
\(543\) 18.2347 + 10.5278i 0.782527 + 0.451792i
\(544\) 10.4473 10.4473i 0.447922 0.447922i
\(545\) −0.439030 −0.0188060
\(546\) −0.657053 + 2.85552i −0.0281193 + 0.122205i
\(547\) −46.5673 −1.99108 −0.995538 0.0943609i \(-0.969919\pi\)
−0.995538 + 0.0943609i \(0.969919\pi\)
\(548\) 12.8045 12.8045i 0.546980 0.546980i
\(549\) 13.7785 + 7.95504i 0.588054 + 0.339513i
\(550\) 5.22107i 0.222627i
\(551\) 7.54639 2.02205i 0.321487 0.0861421i
\(552\) −10.0859 + 2.70252i −0.429286 + 0.115027i
\(553\) −12.7908 + 15.3638i −0.543919 + 0.653337i
\(554\) 0.986426 + 0.986426i 0.0419092 + 0.0419092i
\(555\) −0.0504634 0.0874051i −0.00214205 0.00371014i
\(556\) −14.5566 + 25.2128i −0.617338 + 1.06926i
\(557\) 18.1529 4.86405i 0.769163 0.206097i 0.147161 0.989113i \(-0.452986\pi\)
0.622002 + 0.783016i \(0.286320\pi\)
\(558\) −0.280752 + 0.486276i −0.0118852 + 0.0205857i
\(559\) 14.2489 12.7490i 0.602666 0.539224i
\(560\) 4.77943 0.436798i 0.201968 0.0184581i
\(561\) −17.8180 4.77432i −0.752276 0.201572i
\(562\) 3.50809 0.147980
\(563\) −18.7069 −0.788402 −0.394201 0.919024i \(-0.628979\pi\)
−0.394201 + 0.919024i \(0.628979\pi\)
\(564\) −18.4584 4.94591i −0.777238 0.208260i
\(565\) 0.655368 2.44587i 0.0275715 0.102898i
\(566\) 0.0787383 + 0.293855i 0.00330962 + 0.0123517i
\(567\) 0.110033 0.132168i 0.00462094 0.00555052i
\(568\) −4.28518 + 7.42215i −0.179802 + 0.311426i
\(569\) 6.74956i 0.282956i −0.989941 0.141478i \(-0.954815\pi\)
0.989941 0.141478i \(-0.0451855\pi\)
\(570\) −0.126699 0.472846i −0.00530683 0.0198054i
\(571\) 5.33385 3.07950i 0.223215 0.128873i −0.384223 0.923240i \(-0.625531\pi\)
0.607438 + 0.794367i \(0.292197\pi\)
\(572\) 26.4199 + 1.46785i 1.10467 + 0.0613740i
\(573\) 4.58222i 0.191425i
\(574\) 1.82339 + 4.95002i 0.0761070 + 0.206610i
\(575\) −20.5369 35.5710i −0.856450 1.48341i
\(576\) −9.80633 + 5.66169i −0.408597 + 0.235904i
\(577\) −5.24075 + 19.5588i −0.218175 + 0.814242i 0.766849 + 0.641827i \(0.221823\pi\)
−0.985025 + 0.172414i \(0.944843\pi\)
\(578\) 0.699567 0.699567i 0.0290982 0.0290982i
\(579\) 13.9551 + 3.73926i 0.579954 + 0.155398i
\(580\) −1.77609 + 1.77609i −0.0737482 + 0.0737482i
\(581\) −13.8721 19.6490i −0.575510 0.815178i
\(582\) −3.63398 + 2.09808i −0.150633 + 0.0869682i
\(583\) 2.77493 + 2.77493i 0.114926 + 0.114926i
\(584\) −6.98010 12.0899i −0.288839 0.500283i
\(585\) −3.10048 + 1.56753i −0.128189 + 0.0648092i
\(586\) −5.12222 2.95731i −0.211597 0.122165i
\(587\) 3.35452 12.5192i 0.138456 0.516725i −0.861504 0.507751i \(-0.830477\pi\)
0.999960 0.00897355i \(-0.00285641\pi\)
\(588\) −10.8856 + 9.27870i −0.448916 + 0.382647i
\(589\) −2.79108 1.61143i −0.115004 0.0663979i
\(590\) −0.0200926 0.0749865i −0.000827199 0.00308715i
\(591\) 2.88644 + 2.88644i 0.118732 + 0.118732i
\(592\) 0.454373 + 0.454373i 0.0186746 + 0.0186746i
\(593\) −0.677366 2.52797i −0.0278161 0.103811i 0.950622 0.310351i \(-0.100446\pi\)
−0.978438 + 0.206540i \(0.933780\pi\)
\(594\) −4.95320 2.85973i −0.203232 0.117336i
\(595\) 6.15747 0.562738i 0.252432 0.0230700i
\(596\) −7.12739 + 26.5998i −0.291949 + 1.08957i
\(597\) −9.70041 5.60053i −0.397011 0.229215i
\(598\) 8.04704 4.06838i 0.329068 0.166368i
\(599\) −11.8359 20.5003i −0.483600 0.837620i 0.516222 0.856455i \(-0.327338\pi\)
−0.999823 + 0.0188345i \(0.994004\pi\)
\(600\) −4.02635 4.02635i −0.164375 0.164375i
\(601\) −39.8779 + 23.0235i −1.62665 + 0.939149i −0.641573 + 0.767062i \(0.721718\pi\)
−0.985082 + 0.172087i \(0.944949\pi\)
\(602\) −4.02616 + 0.367955i −0.164094 + 0.0149967i
\(603\) −9.33060 + 9.33060i −0.379971 + 0.379971i
\(604\) 9.19122 + 2.46278i 0.373986 + 0.100209i
\(605\) 1.33670 1.33670i 0.0543447 0.0543447i
\(606\) 0.0883725 0.329811i 0.00358989 0.0133976i
\(607\) 7.28556 4.20632i 0.295712 0.170729i −0.344803 0.938675i \(-0.612054\pi\)
0.640515 + 0.767946i \(0.278721\pi\)
\(608\) 5.03775 + 8.72564i 0.204308 + 0.353872i
\(609\) 1.21390 7.04371i 0.0491896 0.285426i
\(610\) 1.27176i 0.0514919i
\(611\) 33.6672 + 1.87050i 1.36203 + 0.0756725i
\(612\) −13.9865 + 8.07508i −0.565369 + 0.326416i
\(613\) −5.48728 20.4788i −0.221629 0.827131i −0.983727 0.179669i \(-0.942497\pi\)
0.762098 0.647462i \(-0.224169\pi\)
\(614\) 2.95016i 0.119059i
\(615\) 1.90653 3.30221i 0.0768788 0.133158i
\(616\) −8.78633 7.31483i −0.354011 0.294723i
\(617\) 7.51730 + 28.0549i 0.302635 + 1.12945i 0.934962 + 0.354748i \(0.115433\pi\)
−0.632327 + 0.774702i \(0.717900\pi\)
\(618\) 0.0340556 0.127097i 0.00136992 0.00511259i
\(619\) 24.8662 + 6.66289i 0.999458 + 0.267804i 0.721218 0.692708i \(-0.243582\pi\)
0.278240 + 0.960512i \(0.410249\pi\)
\(620\) 1.03616 0.0416132
\(621\) 44.9947 1.80557
\(622\) 2.70664 + 0.725241i 0.108526 + 0.0290795i
\(623\) −26.1948 + 18.4933i −1.04947 + 0.740920i
\(624\) −10.0495 + 8.99160i −0.402302 + 0.359952i
\(625\) 10.5311 18.2403i 0.421242 0.729613i
\(626\) 4.64331 1.24417i 0.185584 0.0497270i
\(627\) 6.28977 10.8942i 0.251189 0.435073i
\(628\) 3.34689 + 5.79698i 0.133555 + 0.231325i
\(629\) 0.585381 + 0.585381i 0.0233407 + 0.0233407i
\(630\) 0.723958 + 0.124765i 0.0288432 + 0.00497077i
\(631\) 4.24248 1.13677i 0.168891 0.0452541i −0.173383 0.984855i \(-0.555470\pi\)
0.342273 + 0.939600i \(0.388803\pi\)
\(632\) 8.23797 2.20736i 0.327689 0.0878040i
\(633\) 8.26574i 0.328534i
\(634\) 2.65954 + 1.53549i 0.105624 + 0.0609820i
\(635\) −1.26919 + 1.26919i −0.0503664 + 0.0503664i
\(636\) −2.09458 −0.0830557
\(637\) 15.4469 19.9598i 0.612029 0.790835i
\(638\) 2.79593 0.110692
\(639\) 10.0068 10.0068i 0.395861 0.395861i
\(640\) −3.71070 2.14237i −0.146678 0.0846847i
\(641\) 20.1136i 0.794439i −0.917724 0.397220i \(-0.869975\pi\)
0.917724 0.397220i \(-0.130025\pi\)
\(642\) 1.48832 0.398795i 0.0587395 0.0157392i
\(643\) 3.80955 1.02077i 0.150234 0.0402551i −0.182918 0.983128i \(-0.558554\pi\)
0.333152 + 0.942873i \(0.391888\pi\)
\(644\) 43.3774 + 7.47556i 1.70931 + 0.294578i
\(645\) 2.06643 + 2.06643i 0.0813654 + 0.0813654i
\(646\) 2.00767 + 3.47739i 0.0789909 + 0.136816i
\(647\) −3.76152 + 6.51515i −0.147881 + 0.256137i −0.930444 0.366434i \(-0.880579\pi\)
0.782563 + 0.622571i \(0.213912\pi\)
\(648\) −0.0708672 + 0.0189888i −0.00278393 + 0.000745951i
\(649\) 0.997466 1.72766i 0.0391540 0.0678167i
\(650\) 4.11547 + 2.69104i 0.161422 + 0.105551i
\(651\) −2.40872 + 1.70054i −0.0944051 + 0.0666493i
\(652\) 4.25113 + 1.13909i 0.166487 + 0.0446100i
\(653\) −10.5828 −0.414136 −0.207068 0.978327i \(-0.566392\pi\)
−0.207068 + 0.978327i \(0.566392\pi\)
\(654\) −0.260838 −0.0101996
\(655\) 8.65863 + 2.32007i 0.338320 + 0.0906527i
\(656\) −6.28336 + 23.4498i −0.245324 + 0.915561i
\(657\) 5.96619 + 22.2661i 0.232763 + 0.868685i
\(658\) −5.47959 4.56189i −0.213617 0.177841i
\(659\) 2.76883 4.79576i 0.107858 0.186816i −0.807044 0.590491i \(-0.798934\pi\)
0.914902 + 0.403675i \(0.132267\pi\)
\(660\) 4.04436i 0.157427i
\(661\) 3.44429 + 12.8542i 0.133967 + 0.499972i 1.00000 1.48350e-5i \(-4.72214e-6\pi\)
−0.866033 + 0.499987i \(0.833338\pi\)
\(662\) −8.55659 + 4.94015i −0.332561 + 0.192004i
\(663\) −12.9470 + 11.5841i −0.502821 + 0.449890i
\(664\) 10.2611i 0.398208i
\(665\) −0.716116 + 4.15530i −0.0277698 + 0.161136i
\(666\) 0.0491795 + 0.0851813i 0.00190567 + 0.00330071i
\(667\) −19.0486 + 10.9977i −0.737564 + 0.425833i
\(668\) 10.4038 38.8275i 0.402535 1.50228i
\(669\) −17.6907 + 17.6907i −0.683961 + 0.683961i
\(670\) −1.01883 0.272994i −0.0393607 0.0105467i
\(671\) −23.1088 + 23.1088i −0.892106 + 0.892106i
\(672\) 9.17957 0.838931i 0.354110 0.0323625i
\(673\) 12.8942 7.44448i 0.497035 0.286963i −0.230453 0.973083i \(-0.574021\pi\)
0.727488 + 0.686120i \(0.240687\pi\)
\(674\) −6.68416 6.68416i −0.257464 0.257464i
\(675\) 12.2683 + 21.2494i 0.472208 + 0.817889i
\(676\) 14.7743 20.0687i 0.568243 0.771873i
\(677\) 10.7184 + 6.18827i 0.411942 + 0.237835i 0.691624 0.722258i \(-0.256896\pi\)
−0.279682 + 0.960093i \(0.590229\pi\)
\(678\) 0.389370 1.45315i 0.0149536 0.0558078i
\(679\) 35.9938 3.28952i 1.38132 0.126240i
\(680\) −2.28441 1.31891i −0.0876033 0.0505778i
\(681\) −1.70010 6.34484i −0.0651478 0.243135i
\(682\) −0.815563 0.815563i −0.0312295 0.0312295i
\(683\) 20.0999 + 20.0999i 0.769102 + 0.769102i 0.977948 0.208847i \(-0.0669709\pi\)
−0.208847 + 0.977948i \(0.566971\pi\)
\(684\) −2.85051 10.6383i −0.108992 0.406764i
\(685\) −4.22945 2.44188i −0.161599 0.0932993i
\(686\) −5.13858 + 1.44105i −0.196192 + 0.0550195i
\(687\) 3.14192 11.7258i 0.119872 0.447367i
\(688\) −16.1134 9.30306i −0.614317 0.354676i
\(689\) 3.61757 0.757066i 0.137818 0.0288419i
\(690\) 0.689102 + 1.19356i 0.0262336 + 0.0454380i
\(691\) −8.27743 8.27743i −0.314888 0.314888i 0.531912 0.846800i \(-0.321474\pi\)
−0.846800 + 0.531912i \(0.821474\pi\)
\(692\) 33.3481 19.2535i 1.26770 0.731909i
\(693\) 10.8878 + 15.4220i 0.413593 + 0.585832i
\(694\) 1.84719 1.84719i 0.0701186 0.0701186i
\(695\) 7.58422 + 2.03219i 0.287686 + 0.0770852i
\(696\) −2.15614 + 2.15614i −0.0817284 + 0.0817284i
\(697\) −8.09501 + 30.2110i −0.306621 + 1.14432i
\(698\) −7.13109 + 4.11714i −0.269916 + 0.155836i
\(699\) 7.94355 + 13.7586i 0.300453 + 0.520399i
\(700\) 8.29691 + 22.5239i 0.313594 + 0.851322i
\(701\) 0.431477i 0.0162966i −0.999967 0.00814832i \(-0.997406\pi\)
0.999967 0.00814832i \(-0.00259372\pi\)
\(702\) −4.80713 + 2.43036i −0.181433 + 0.0917281i
\(703\) −0.488916 + 0.282276i −0.0184398 + 0.0106462i
\(704\) −6.01994 22.4667i −0.226885 0.846747i
\(705\) 5.15378i 0.194103i
\(706\) −2.89650 + 5.01689i −0.109011 + 0.188813i
\(707\) −1.88174 + 2.26028i −0.0707700 + 0.0850066i
\(708\) 0.275585 + 1.02850i 0.0103571 + 0.0386533i
\(709\) −1.09881 + 4.10081i −0.0412666 + 0.154009i −0.983485 0.180991i \(-0.942070\pi\)
0.942218 + 0.335000i \(0.108736\pi\)
\(710\) 1.09266 + 0.292776i 0.0410067 + 0.0109877i
\(711\) −14.0827 −0.528142
\(712\) 13.6795 0.512659
\(713\) 8.76441 + 2.34842i 0.328230 + 0.0879488i
\(714\) 3.65830 0.334336i 0.136908 0.0125122i
\(715\) −1.46179 6.98503i −0.0546680 0.261225i
\(716\) 20.5385 35.5738i 0.767562 1.32946i
\(717\) 29.7945 7.98342i 1.11270 0.298146i
\(718\) −4.44387 + 7.69701i −0.165844 + 0.287250i
\(719\) 5.89574 + 10.2117i 0.219874 + 0.380833i 0.954769 0.297348i \(-0.0961021\pi\)
−0.734895 + 0.678180i \(0.762769\pi\)
\(720\) 2.39063 + 2.39063i 0.0890935 + 0.0890935i
\(721\) −0.725153 + 0.871030i −0.0270061 + 0.0324388i
\(722\) 2.64356 0.708339i 0.0983830 0.0263616i
\(723\) 18.9374 5.07425i 0.704289 0.188714i
\(724\) 37.8661i 1.40728i
\(725\) −10.3876 5.99731i −0.385787 0.222734i
\(726\) 0.794166 0.794166i 0.0294743 0.0294743i
\(727\) −9.73102 −0.360904 −0.180452 0.983584i \(-0.557756\pi\)
−0.180452 + 0.983584i \(0.557756\pi\)
\(728\) −10.2945 + 3.15556i −0.381539 + 0.116953i
\(729\) −16.4579 −0.609550
\(730\) −1.30292 + 1.30292i −0.0482232 + 0.0482232i
\(731\) −20.7593 11.9854i −0.767810 0.443295i
\(732\) 17.4431i 0.644716i
\(733\) −14.6487 + 3.92510i −0.541061 + 0.144977i −0.518991 0.854779i \(-0.673692\pi\)
−0.0220699 + 0.999756i \(0.507026\pi\)
\(734\) 1.47691 0.395738i 0.0545139 0.0146069i
\(735\) 3.17702 + 2.18811i 0.117186 + 0.0807096i
\(736\) −20.0581 20.0581i −0.739350 0.739350i
\(737\) −13.5524 23.4734i −0.499207 0.864653i
\(738\) −1.85803 + 3.21820i −0.0683949 + 0.118463i
\(739\) −2.26822 + 0.607767i −0.0834378 + 0.0223571i −0.300296 0.953846i \(-0.597086\pi\)
0.216859 + 0.976203i \(0.430419\pi\)
\(740\) 0.0907525 0.157188i 0.00333613 0.00577834i
\(741\) −5.34541 10.5729i −0.196368 0.388407i
\(742\) −0.709566 0.327538i −0.0260490 0.0120243i
\(743\) 27.0211 + 7.24029i 0.991309 + 0.265620i 0.717800 0.696249i \(-0.245149\pi\)
0.273509 + 0.961870i \(0.411816\pi\)
\(744\) 1.25788 0.0461161
\(745\) 7.42695 0.272102
\(746\) 6.83779 + 1.83218i 0.250349 + 0.0670809i
\(747\) 4.38530 16.3662i 0.160450 0.598807i
\(748\) −8.58605 32.0436i −0.313937 1.17163i
\(749\) −13.0792 2.25404i −0.477903 0.0823607i
\(750\) −0.772789 + 1.33851i −0.0282183 + 0.0488755i
\(751\) 5.21551i 0.190317i 0.995462 + 0.0951584i \(0.0303358\pi\)
−0.995462 + 0.0951584i \(0.969664\pi\)
\(752\) −8.49266 31.6950i −0.309695 1.15580i
\(753\) 6.33944 3.66008i 0.231022 0.133381i
\(754\) 1.44107 2.20387i 0.0524808 0.0802601i
\(755\) 2.56629i 0.0933969i
\(756\) −25.9127 4.46574i −0.942436 0.162417i
\(757\) 10.3674 + 17.9569i 0.376811 + 0.652656i 0.990596 0.136817i \(-0.0436872\pi\)
−0.613785 + 0.789473i \(0.710354\pi\)
\(758\) 5.42669 3.13310i 0.197106 0.113799i
\(759\) −9.16639 + 34.2094i −0.332719 + 1.24172i
\(760\) 1.27198 1.27198i 0.0461394 0.0461394i
\(761\) −37.9896 10.1793i −1.37712 0.368999i −0.507048 0.861918i \(-0.669263\pi\)
−0.870075 + 0.492919i \(0.835930\pi\)
\(762\) −0.754057 + 0.754057i −0.0273166 + 0.0273166i
\(763\) 2.03990 + 0.941624i 0.0738494 + 0.0340891i
\(764\) −7.13656 + 4.12029i −0.258192 + 0.149067i
\(765\) 3.07991 + 3.07991i 0.111354 + 0.111354i
\(766\) −1.69184 2.93034i −0.0611285 0.105878i
\(767\) −0.847704 1.67671i −0.0306088 0.0605426i
\(768\) 9.01232 + 5.20326i 0.325204 + 0.187757i
\(769\) −2.96518 + 11.0662i −0.106927 + 0.399057i −0.998557 0.0537084i \(-0.982896\pi\)
0.891630 + 0.452765i \(0.149563\pi\)
\(770\) −0.632431 + 1.37008i −0.0227912 + 0.0493741i
\(771\) 7.68935 + 4.43945i 0.276925 + 0.159883i
\(772\) 6.72462 + 25.0966i 0.242024 + 0.903247i
\(773\) −33.1308 33.1308i −1.19163 1.19163i −0.976609 0.215021i