Properties

Label 384.2.w.a.11.11
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.11
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15643 - 0.814046i) q^{2} +(-0.824531 - 1.52320i) q^{3} +(0.674657 + 1.88277i) q^{4} +(-0.611958 - 0.327098i) q^{5} +(-0.286446 + 2.43268i) q^{6} +(2.75895 + 0.548789i) q^{7} +(0.752472 - 2.72650i) q^{8} +(-1.64030 + 2.51186i) q^{9} +O(q^{10})\) \(q+(-1.15643 - 0.814046i) q^{2} +(-0.824531 - 1.52320i) q^{3} +(0.674657 + 1.88277i) q^{4} +(-0.611958 - 0.327098i) q^{5} +(-0.286446 + 2.43268i) q^{6} +(2.75895 + 0.548789i) q^{7} +(0.752472 - 2.72650i) q^{8} +(-1.64030 + 2.51186i) q^{9} +(0.441413 + 0.876428i) q^{10} +(2.48753 - 2.04146i) q^{11} +(2.31157 - 2.58005i) q^{12} +(3.00482 - 1.60611i) q^{13} +(-2.74379 - 2.88055i) q^{14} +(0.00634129 + 1.20184i) q^{15} +(-3.08968 + 2.54045i) q^{16} +(-0.432628 + 0.179200i) q^{17} +(3.94165 - 1.56951i) q^{18} +(1.08049 - 3.56189i) q^{19} +(0.202990 - 1.37286i) q^{20} +(-1.43892 - 4.65493i) q^{21} +(-4.53849 + 0.335842i) q^{22} +(-0.151876 - 0.101480i) q^{23} +(-4.77345 + 1.10191i) q^{24} +(-2.51035 - 3.75701i) q^{25} +(-4.78230 - 0.588710i) q^{26} +(5.17855 + 0.427399i) q^{27} +(0.828098 + 5.56472i) q^{28} +(0.581600 + 0.477307i) q^{29} +(0.971019 - 1.39500i) q^{30} +(-3.42580 + 3.42580i) q^{31} +(5.64104 - 0.422715i) q^{32} +(-5.16060 - 2.10576i) q^{33} +(0.646181 + 0.144947i) q^{34} +(-1.50885 - 1.23828i) q^{35} +(-5.83590 - 1.39366i) q^{36} +(-2.06718 - 6.81459i) q^{37} +(-4.14905 + 3.23951i) q^{38} +(-4.92400 - 3.25266i) q^{39} +(-1.35231 + 1.42237i) q^{40} +(-9.94330 - 6.64390i) q^{41} +(-2.12532 + 6.55445i) q^{42} +(-0.410961 + 4.17256i) q^{43} +(5.52184 + 3.30616i) q^{44} +(1.82542 - 1.00061i) q^{45} +(0.0930240 + 0.240988i) q^{46} +(11.3232 - 4.69022i) q^{47} +(6.41716 + 2.61152i) q^{48} +(0.843469 + 0.349376i) q^{49} +(-0.155334 + 6.38826i) q^{50} +(0.629674 + 0.511224i) q^{51} +(5.05116 + 4.57382i) q^{52} +(0.288683 - 0.236916i) q^{53} +(-5.64070 - 4.70983i) q^{54} +(-2.19002 + 0.435622i) q^{55} +(3.57230 - 7.10932i) q^{56} +(-6.31638 + 1.29109i) q^{57} +(-0.284030 - 1.02542i) q^{58} +(10.9245 + 5.83929i) q^{59} +(-2.25851 + 0.822768i) q^{60} +(-1.10530 - 11.2223i) q^{61} +(6.75046 - 1.17294i) q^{62} +(-5.90397 + 6.02991i) q^{63} +(-6.86757 - 4.10323i) q^{64} -2.36418 q^{65} +(4.25368 + 6.63613i) q^{66} +(0.129415 - 0.0127462i) q^{67} +(-0.629269 - 0.693641i) q^{68} +(-0.0293485 + 0.315011i) q^{69} +(0.736861 + 2.66026i) q^{70} +(3.90254 + 0.776264i) q^{71} +(5.61430 + 6.36237i) q^{72} +(3.01304 + 15.1476i) q^{73} +(-3.15684 + 9.56338i) q^{74} +(-3.65282 + 6.92155i) q^{75} +(7.43520 - 0.368741i) q^{76} +(7.98329 - 4.26716i) q^{77} +(3.04644 + 7.76983i) q^{78} +(3.79966 - 9.17319i) q^{79} +(2.72173 - 0.544023i) q^{80} +(-3.61886 - 8.24038i) q^{81} +(6.09028 + 15.7775i) q^{82} +(-0.127183 + 0.419266i) q^{83} +(7.79341 - 5.84965i) q^{84} +(0.323366 + 0.0318488i) q^{85} +(3.87191 - 4.49073i) q^{86} +(0.247488 - 1.27945i) q^{87} +(-3.69424 - 8.31838i) q^{88} +(2.85929 + 4.27923i) q^{89} +(-2.92551 - 0.328835i) q^{90} +(9.17155 - 2.78216i) q^{91} +(0.0886000 - 0.354412i) q^{92} +(8.04288 + 2.39351i) q^{93} +(-16.9125 - 3.79369i) q^{94} +(-1.82630 + 1.82630i) q^{95} +(-5.29509 - 8.24391i) q^{96} +(9.81906 + 9.81906i) q^{97} +(-0.691004 - 1.09065i) q^{98} +(1.04758 + 9.59691i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15643 0.814046i −0.817719 0.575618i
\(3\) −0.824531 1.52320i −0.476043 0.879422i
\(4\) 0.674657 + 1.88277i 0.337329 + 0.941387i
\(5\) −0.611958 0.327098i −0.273676 0.146283i 0.328850 0.944382i \(-0.393339\pi\)
−0.602526 + 0.798099i \(0.705839\pi\)
\(6\) −0.286446 + 2.43268i −0.116941 + 0.993139i
\(7\) 2.75895 + 0.548789i 1.04278 + 0.207423i 0.686632 0.727005i \(-0.259088\pi\)
0.356152 + 0.934428i \(0.384088\pi\)
\(8\) 0.752472 2.72650i 0.266039 0.963962i
\(9\) −1.64030 + 2.51186i −0.546765 + 0.837286i
\(10\) 0.441413 + 0.876428i 0.139587 + 0.277151i
\(11\) 2.48753 2.04146i 0.750017 0.615523i −0.179732 0.983716i \(-0.557523\pi\)
0.929750 + 0.368192i \(0.120023\pi\)
\(12\) 2.31157 2.58005i 0.667293 0.744795i
\(13\) 3.00482 1.60611i 0.833386 0.445454i 0.00123256 0.999999i \(-0.499608\pi\)
0.832154 + 0.554545i \(0.187108\pi\)
\(14\) −2.74379 2.88055i −0.733308 0.769859i
\(15\) 0.00634129 + 1.20184i 0.00163731 + 0.310313i
\(16\) −3.08968 + 2.54045i −0.772419 + 0.635113i
\(17\) −0.432628 + 0.179200i −0.104928 + 0.0434624i −0.434530 0.900657i \(-0.643085\pi\)
0.329602 + 0.944120i \(0.393085\pi\)
\(18\) 3.94165 1.56951i 0.929057 0.369937i
\(19\) 1.08049 3.56189i 0.247881 0.817154i −0.741392 0.671073i \(-0.765834\pi\)
0.989273 0.146081i \(-0.0466662\pi\)
\(20\) 0.202990 1.37286i 0.0453900 0.306980i
\(21\) −1.43892 4.65493i −0.313999 1.01579i
\(22\) −4.53849 + 0.335842i −0.967610 + 0.0716018i
\(23\) −0.151876 0.101480i −0.0316683 0.0211601i 0.539635 0.841899i \(-0.318562\pi\)
−0.571304 + 0.820739i \(0.693562\pi\)
\(24\) −4.77345 + 1.10191i −0.974376 + 0.224927i
\(25\) −2.51035 3.75701i −0.502070 0.751401i
\(26\) −4.78230 0.588710i −0.937887 0.115456i
\(27\) 5.17855 + 0.427399i 0.996611 + 0.0822529i
\(28\) 0.828098 + 5.56472i 0.156496 + 1.05163i
\(29\) 0.581600 + 0.477307i 0.108000 + 0.0886337i 0.686844 0.726805i \(-0.258996\pi\)
−0.578843 + 0.815439i \(0.696496\pi\)
\(30\) 0.971019 1.39500i 0.177283 0.254692i
\(31\) −3.42580 + 3.42580i −0.615293 + 0.615293i −0.944320 0.329028i \(-0.893279\pi\)
0.329028 + 0.944320i \(0.393279\pi\)
\(32\) 5.64104 0.422715i 0.997204 0.0747262i
\(33\) −5.16060 2.10576i −0.898346 0.366566i
\(34\) 0.646181 + 0.144947i 0.110819 + 0.0248581i
\(35\) −1.50885 1.23828i −0.255043 0.209308i
\(36\) −5.83590 1.39366i −0.972650 0.232277i
\(37\) −2.06718 6.81459i −0.339843 1.12031i −0.945782 0.324801i \(-0.894703\pi\)
0.605939 0.795511i \(-0.292797\pi\)
\(38\) −4.14905 + 3.23951i −0.673065 + 0.525518i
\(39\) −4.92400 3.25266i −0.788470 0.520843i
\(40\) −1.35231 + 1.42237i −0.213820 + 0.224896i
\(41\) −9.94330 6.64390i −1.55288 1.03760i −0.975196 0.221343i \(-0.928956\pi\)
−0.577686 0.816259i \(-0.696044\pi\)
\(42\) −2.12532 + 6.55445i −0.327944 + 1.01137i
\(43\) −0.410961 + 4.17256i −0.0626710 + 0.636310i 0.911623 + 0.411028i \(0.134830\pi\)
−0.974294 + 0.225281i \(0.927670\pi\)
\(44\) 5.52184 + 3.30616i 0.832448 + 0.498423i
\(45\) 1.82542 1.00061i 0.272117 0.149163i
\(46\) 0.0930240 + 0.240988i 0.0137156 + 0.0355318i
\(47\) 11.3232 4.69022i 1.65166 0.684138i 0.654261 0.756269i \(-0.272980\pi\)
0.997395 + 0.0721308i \(0.0229799\pi\)
\(48\) 6.41716 + 2.61152i 0.926237 + 0.376940i
\(49\) 0.843469 + 0.349376i 0.120496 + 0.0499109i
\(50\) −0.155334 + 6.38826i −0.0219675 + 0.903436i
\(51\) 0.629674 + 0.511224i 0.0881719 + 0.0715856i
\(52\) 5.05116 + 4.57382i 0.700470 + 0.634275i
\(53\) 0.288683 0.236916i 0.0396536 0.0325429i −0.614358 0.789028i \(-0.710585\pi\)
0.654011 + 0.756485i \(0.273085\pi\)
\(54\) −5.64070 4.70983i −0.767602 0.640927i
\(55\) −2.19002 + 0.435622i −0.295302 + 0.0587393i
\(56\) 3.57230 7.10932i 0.477369 0.950022i
\(57\) −6.31638 + 1.29109i −0.836625 + 0.171009i
\(58\) −0.284030 1.02542i −0.0372949 0.134644i
\(59\) 10.9245 + 5.83929i 1.42225 + 0.760210i 0.989937 0.141512i \(-0.0451962\pi\)
0.432317 + 0.901722i \(0.357696\pi\)
\(60\) −2.25851 + 0.822768i −0.291573 + 0.106219i
\(61\) −1.10530 11.2223i −0.141520 1.43687i −0.759412 0.650610i \(-0.774513\pi\)
0.617892 0.786263i \(-0.287987\pi\)
\(62\) 6.75046 1.17294i 0.857310 0.148963i
\(63\) −5.90397 + 6.02991i −0.743831 + 0.759697i
\(64\) −6.86757 4.10323i −0.858446 0.512903i
\(65\) −2.36418 −0.293240
\(66\) 4.25368 + 6.63613i 0.523592 + 0.816851i
\(67\) 0.129415 0.0127462i 0.0158105 0.00155720i −0.0901088 0.995932i \(-0.528721\pi\)
0.105919 + 0.994375i \(0.466221\pi\)
\(68\) −0.629269 0.693641i −0.0763101 0.0841164i
\(69\) −0.0293485 + 0.315011i −0.00353315 + 0.0379229i
\(70\) 0.736861 + 2.66026i 0.0880717 + 0.317962i
\(71\) 3.90254 + 0.776264i 0.463147 + 0.0921256i 0.421148 0.906992i \(-0.361627\pi\)
0.0419989 + 0.999118i \(0.486627\pi\)
\(72\) 5.61430 + 6.36237i 0.661651 + 0.749812i
\(73\) 3.01304 + 15.1476i 0.352649 + 1.77289i 0.596036 + 0.802958i \(0.296742\pi\)
−0.243387 + 0.969929i \(0.578258\pi\)
\(74\) −3.15684 + 9.56338i −0.366976 + 1.11172i
\(75\) −3.65282 + 6.92155i −0.421792 + 0.799231i
\(76\) 7.43520 0.368741i 0.852876 0.0422975i
\(77\) 7.98329 4.26716i 0.909780 0.486288i
\(78\) 3.04644 + 7.76983i 0.344941 + 0.879760i
\(79\) 3.79966 9.17319i 0.427495 1.03206i −0.552584 0.833457i \(-0.686358\pi\)
0.980079 0.198608i \(-0.0636419\pi\)
\(80\) 2.72173 0.544023i 0.304299 0.0608236i
\(81\) −3.61886 8.24038i −0.402095 0.915598i
\(82\) 6.09028 + 15.7775i 0.672559 + 1.74233i
\(83\) −0.127183 + 0.419266i −0.0139602 + 0.0460205i −0.963644 0.267191i \(-0.913905\pi\)
0.949684 + 0.313211i \(0.101405\pi\)
\(84\) 7.79341 5.84965i 0.850330 0.638249i
\(85\) 0.323366 + 0.0318488i 0.0350740 + 0.00345448i
\(86\) 3.87191 4.49073i 0.417518 0.484248i
\(87\) 0.247488 1.27945i 0.0265335 0.137171i
\(88\) −3.69424 8.31838i −0.393807 0.886742i
\(89\) 2.85929 + 4.27923i 0.303084 + 0.453598i 0.951482 0.307704i \(-0.0995607\pi\)
−0.648398 + 0.761302i \(0.724561\pi\)
\(90\) −2.92551 0.328835i −0.308376 0.0346623i
\(91\) 9.17155 2.78216i 0.961440 0.291650i
\(92\) 0.0886000 0.354412i 0.00923719 0.0369500i
\(93\) 8.04288 + 2.39351i 0.834008 + 0.248196i
\(94\) −16.9125 3.79369i −1.74439 0.391290i
\(95\) −1.82630 + 1.82630i −0.187375 + 0.187375i
\(96\) −5.29509 8.24391i −0.540428 0.841390i
\(97\) 9.81906 + 9.81906i 0.996975 + 0.996975i 0.999995 0.00302065i \(-0.000961504\pi\)
−0.00302065 + 0.999995i \(0.500962\pi\)
\(98\) −0.691004 1.09065i −0.0698020 0.110173i
\(99\) 1.04758 + 9.59691i 0.105286 + 0.964526i
\(100\) 5.37997 7.26112i 0.537997 0.726112i
\(101\) 1.79880 + 5.92985i 0.178987 + 0.590042i 0.999822 + 0.0188759i \(0.00600873\pi\)
−0.820835 + 0.571166i \(0.806491\pi\)
\(102\) −0.312013 1.10378i −0.0308939 0.109290i
\(103\) −0.536762 + 0.358653i −0.0528887 + 0.0353391i −0.581734 0.813379i \(-0.697625\pi\)
0.528845 + 0.848719i \(0.322625\pi\)
\(104\) −2.11801 9.40118i −0.207688 0.921861i
\(105\) −0.642061 + 3.31929i −0.0626587 + 0.323930i
\(106\) −0.526702 + 0.0389752i −0.0511578 + 0.00378561i
\(107\) 0.363142 3.68704i 0.0351062 0.356439i −0.961544 0.274652i \(-0.911437\pi\)
0.996650 0.0817871i \(-0.0260627\pi\)
\(108\) 2.68905 + 10.0384i 0.258754 + 0.965943i
\(109\) 0.458528 + 0.139093i 0.0439190 + 0.0133227i 0.312168 0.950027i \(-0.398945\pi\)
−0.268249 + 0.963350i \(0.586445\pi\)
\(110\) 2.88722 + 1.27901i 0.275286 + 0.121949i
\(111\) −8.67555 + 8.76759i −0.823447 + 0.832183i
\(112\) −9.91843 + 5.31340i −0.937203 + 0.502069i
\(113\) −3.15558 1.30709i −0.296852 0.122960i 0.229286 0.973359i \(-0.426361\pi\)
−0.526139 + 0.850399i \(0.676361\pi\)
\(114\) 8.35545 + 3.64877i 0.782560 + 0.341739i
\(115\) 0.0597475 + 0.111780i 0.00557149 + 0.0104235i
\(116\) −0.506280 + 1.41704i −0.0470070 + 0.131569i
\(117\) −0.894474 + 10.1822i −0.0826942 + 0.941342i
\(118\) −7.88000 15.6458i −0.725413 1.44031i
\(119\) −1.29194 + 0.256983i −0.118432 + 0.0235576i
\(120\) 3.28158 + 0.887061i 0.299566 + 0.0809772i
\(121\) −0.125765 + 0.632265i −0.0114332 + 0.0574786i
\(122\) −7.85730 + 13.8776i −0.711366 + 1.25642i
\(123\) −1.92145 + 20.6238i −0.173251 + 1.85958i
\(124\) −8.76126 4.13877i −0.786784 0.371673i
\(125\) 0.647385 + 6.57301i 0.0579039 + 0.587908i
\(126\) 11.7362 2.16706i 1.04554 0.193057i
\(127\) 12.9998i 1.15355i 0.816905 + 0.576773i \(0.195688\pi\)
−0.816905 + 0.576773i \(0.804312\pi\)
\(128\) 4.60164 + 10.3356i 0.406732 + 0.913548i
\(129\) 6.69451 2.81443i 0.589419 0.247797i
\(130\) 2.73400 + 1.92455i 0.239788 + 0.168794i
\(131\) −15.4730 + 1.52395i −1.35188 + 0.133148i −0.747879 0.663835i \(-0.768928\pi\)
−0.604001 + 0.796984i \(0.706428\pi\)
\(132\) 0.483034 11.1369i 0.0420427 0.969344i
\(133\) 4.93574 9.23412i 0.427983 0.800699i
\(134\) −0.160035 0.0906094i −0.0138249 0.00782746i
\(135\) −3.02925 1.95544i −0.260716 0.168298i
\(136\) 0.163049 + 1.31440i 0.0139813 + 0.112709i
\(137\) 2.85653 + 14.3608i 0.244050 + 1.22692i 0.887274 + 0.461244i \(0.152597\pi\)
−0.643224 + 0.765678i \(0.722403\pi\)
\(138\) 0.290373 0.340397i 0.0247182 0.0289765i
\(139\) −0.658150 0.801958i −0.0558236 0.0680212i 0.744350 0.667790i \(-0.232759\pi\)
−0.800174 + 0.599768i \(0.795259\pi\)
\(140\) 1.31345 3.67624i 0.111007 0.310699i
\(141\) −16.4805 13.3803i −1.38791 1.12682i
\(142\) −3.88110 4.07455i −0.325695 0.341928i
\(143\) 4.19576 10.1295i 0.350867 0.847067i
\(144\) −1.31327 11.9279i −0.109440 0.993993i
\(145\) −0.199789 0.482332i −0.0165915 0.0400555i
\(146\) 8.84645 19.9698i 0.732137 1.65271i
\(147\) −0.163296 1.57285i −0.0134684 0.129726i
\(148\) 11.4357 8.48956i 0.940009 0.697837i
\(149\) −14.5860 1.43660i −1.19493 0.117691i −0.519079 0.854726i \(-0.673725\pi\)
−0.675854 + 0.737035i \(0.736225\pi\)
\(150\) 9.85869 5.03071i 0.804959 0.410756i
\(151\) 4.72191 7.06683i 0.384263 0.575090i −0.588035 0.808836i \(-0.700098\pi\)
0.972298 + 0.233745i \(0.0750982\pi\)
\(152\) −8.89845 5.62617i −0.721760 0.456343i
\(153\) 0.259512 1.38064i 0.0209803 0.111618i
\(154\) −12.7058 1.56410i −1.02386 0.126039i
\(155\) 3.21702 0.975873i 0.258397 0.0783840i
\(156\) 2.80202 11.4652i 0.224341 0.917951i
\(157\) 12.7831 15.5763i 1.02021 1.24312i 0.0505309 0.998723i \(-0.483909\pi\)
0.969674 0.244401i \(-0.0785913\pi\)
\(158\) −11.8614 + 7.51505i −0.943646 + 0.597865i
\(159\) −0.598899 0.244378i −0.0474958 0.0193804i
\(160\) −3.59035 1.58649i −0.283842 0.125423i
\(161\) −0.363326 0.363326i −0.0286341 0.0286341i
\(162\) −2.52310 + 12.4753i −0.198233 + 0.980155i
\(163\) −3.00700 + 3.66405i −0.235527 + 0.286990i −0.877338 0.479872i \(-0.840683\pi\)
0.641812 + 0.766862i \(0.278183\pi\)
\(164\) 5.80064 23.2033i 0.452954 1.81188i
\(165\) 2.46928 + 2.97666i 0.192233 + 0.231733i
\(166\) 0.488381 0.381319i 0.0379057 0.0295961i
\(167\) −5.83431 + 3.89836i −0.451473 + 0.301664i −0.760440 0.649408i \(-0.775017\pi\)
0.308967 + 0.951073i \(0.400017\pi\)
\(168\) −13.7744 + 0.420510i −1.06272 + 0.0324431i
\(169\) −0.773071 + 1.15698i −0.0594670 + 0.0889986i
\(170\) −0.348024 0.300066i −0.0266922 0.0230140i
\(171\) 7.17465 + 8.55659i 0.548659 + 0.654339i
\(172\) −8.13325 + 2.04130i −0.620154 + 0.155648i
\(173\) −14.3786 4.36169i −1.09318 0.331613i −0.308320 0.951283i \(-0.599767\pi\)
−0.784863 + 0.619669i \(0.787267\pi\)
\(174\) −1.32773 + 1.27813i −0.100655 + 0.0968945i
\(175\) −4.86413 11.7430i −0.367693 0.887691i
\(176\) −2.49942 + 12.6269i −0.188401 + 0.951788i
\(177\) −0.113203 21.4550i −0.00850887 1.61265i
\(178\) 0.176925 7.27622i 0.0132611 0.545376i
\(179\) −1.70221 3.18461i −0.127229 0.238029i 0.810239 0.586099i \(-0.199337\pi\)
−0.937468 + 0.348070i \(0.886837\pi\)
\(180\) 3.11546 + 2.76178i 0.232213 + 0.205851i
\(181\) 7.65251 + 9.32461i 0.568807 + 0.693093i 0.975381 0.220525i \(-0.0707770\pi\)
−0.406575 + 0.913617i \(0.633277\pi\)
\(182\) −12.8711 4.24870i −0.954066 0.314934i
\(183\) −16.1825 + 10.9368i −1.19625 + 0.808470i
\(184\) −0.390967 + 0.337728i −0.0288225 + 0.0248976i
\(185\) −0.964012 + 4.84642i −0.0708756 + 0.356316i
\(186\) −7.35259 9.31520i −0.539118 0.683024i
\(187\) −0.710343 + 1.32896i −0.0519454 + 0.0971830i
\(188\) 16.4699 + 18.1547i 1.20119 + 1.32407i
\(189\) 14.0528 + 4.02110i 1.02219 + 0.292492i
\(190\) 3.59868 0.625295i 0.261076 0.0453636i
\(191\) 22.1352i 1.60165i −0.598902 0.800823i \(-0.704396\pi\)
0.598902 0.800823i \(-0.295604\pi\)
\(192\) −0.587519 + 13.8439i −0.0424005 + 0.999101i
\(193\) 1.28705i 0.0926439i 0.998927 + 0.0463220i \(0.0147500\pi\)
−0.998927 + 0.0463220i \(0.985250\pi\)
\(194\) −3.36188 19.3482i −0.241369 1.38912i
\(195\) 1.94934 + 3.60112i 0.139595 + 0.257882i
\(196\) −0.0887443 + 1.82377i −0.00633888 + 0.130269i
\(197\) −3.75472 + 7.02459i −0.267513 + 0.500481i −0.979431 0.201782i \(-0.935327\pi\)
0.711918 + 0.702263i \(0.247827\pi\)
\(198\) 6.60088 11.9509i 0.469104 0.849315i
\(199\) −3.62165 + 18.2072i −0.256732 + 1.29068i 0.610199 + 0.792248i \(0.291090\pi\)
−0.866930 + 0.498429i \(0.833910\pi\)
\(200\) −12.1324 + 4.01742i −0.857893 + 0.284075i
\(201\) −0.126122 0.186615i −0.00889593 0.0131628i
\(202\) 2.74699 8.32175i 0.193277 0.585517i
\(203\) 1.34266 + 1.63604i 0.0942366 + 0.114828i
\(204\) −0.537705 + 1.53043i −0.0376469 + 0.107152i
\(205\) 3.91167 + 7.31822i 0.273203 + 0.511127i
\(206\) 0.912687 + 0.0221925i 0.0635899 + 0.00154622i
\(207\) 0.504025 0.215033i 0.0350321 0.0149458i
\(208\) −5.20367 + 12.5960i −0.360809 + 0.873372i
\(209\) −4.58372 11.0661i −0.317062 0.765456i
\(210\) 3.44455 3.31586i 0.237697 0.228816i
\(211\) 18.7716 + 5.69431i 1.29229 + 0.392012i 0.860264 0.509848i \(-0.170298\pi\)
0.432027 + 0.901861i \(0.357798\pi\)
\(212\) 0.640821 + 0.383687i 0.0440118 + 0.0263518i
\(213\) −2.03536 6.58442i −0.139461 0.451157i
\(214\) −3.42137 + 3.96818i −0.233880 + 0.271259i
\(215\) 1.61633 2.41901i 0.110233 0.164975i
\(216\) 5.06201 13.7977i 0.344426 0.938813i
\(217\) −11.3317 + 7.57157i −0.769243 + 0.513992i
\(218\) −0.417027 0.534114i −0.0282447 0.0361748i
\(219\) 20.5885 17.0791i 1.39124 1.15410i
\(220\) −2.29769 3.82942i −0.154910 0.258179i
\(221\) −1.01215 + 1.23331i −0.0680847 + 0.0829615i
\(222\) 17.1699 3.07679i 1.15237 0.206501i
\(223\) 1.81239 + 1.81239i 0.121366 + 0.121366i 0.765181 0.643815i \(-0.222649\pi\)
−0.643815 + 0.765181i \(0.722649\pi\)
\(224\) 15.7953 + 1.92949i 1.05537 + 0.128919i
\(225\) 13.5548 0.143043i 0.903653 0.00953618i
\(226\) 2.58518 + 4.08034i 0.171964 + 0.271420i
\(227\) 16.1767 19.7113i 1.07368 1.30829i 0.124965 0.992161i \(-0.460118\pi\)
0.948717 0.316125i \(-0.102382\pi\)
\(228\) −6.69222 11.0213i −0.443203 0.729902i
\(229\) −4.95663 + 1.50358i −0.327543 + 0.0993591i −0.449774 0.893143i \(-0.648495\pi\)
0.122230 + 0.992502i \(0.460995\pi\)
\(230\) 0.0219001 0.177903i 0.00144405 0.0117306i
\(231\) −13.0822 8.64177i −0.860747 0.568586i
\(232\) 1.73901 1.22657i 0.114172 0.0805283i
\(233\) −13.8127 + 20.6722i −0.904901 + 1.35428i 0.0300663 + 0.999548i \(0.490428\pi\)
−0.934968 + 0.354733i \(0.884572\pi\)
\(234\) 9.32315 11.0468i 0.609473 0.722153i
\(235\) −8.46347 0.833579i −0.552096 0.0543767i
\(236\) −3.62374 + 24.5079i −0.235885 + 1.59533i
\(237\) −17.1056 + 1.77593i −1.11113 + 0.115359i
\(238\) 1.70323 + 0.754517i 0.110404 + 0.0489081i
\(239\) −5.04359 12.1763i −0.326243 0.787620i −0.998865 0.0476339i \(-0.984832\pi\)
0.672622 0.739986i \(-0.265168\pi\)
\(240\) −3.07281 3.69718i −0.198349 0.238652i
\(241\) −5.38419 + 12.9986i −0.346826 + 0.837312i 0.650165 + 0.759793i \(0.274700\pi\)
−0.996991 + 0.0775187i \(0.975300\pi\)
\(242\) 0.660132 0.628791i 0.0424349 0.0404202i
\(243\) −9.56791 + 12.3067i −0.613782 + 0.789476i
\(244\) 20.3834 9.65227i 1.30492 0.617923i
\(245\) −0.401887 0.489701i −0.0256756 0.0312859i
\(246\) 19.0107 22.2858i 1.21208 1.42089i
\(247\) −2.47411 12.4382i −0.157424 0.791425i
\(248\) 6.76262 + 11.9183i 0.429427 + 0.756811i
\(249\) 0.743494 0.151973i 0.0471170 0.00963088i
\(250\) 4.60208 8.12823i 0.291061 0.514074i
\(251\) −9.66256 + 18.0774i −0.609895 + 1.14103i 0.367582 + 0.929991i \(0.380186\pi\)
−0.977477 + 0.211042i \(0.932314\pi\)
\(252\) −15.3361 7.04772i −0.966084 0.443965i
\(253\) −0.584962 + 0.0576138i −0.0367763 + 0.00362215i
\(254\) 10.5824 15.0333i 0.664001 0.943276i
\(255\) −0.218113 0.518812i −0.0136588 0.0324893i
\(256\) 3.09219 15.6984i 0.193262 0.981147i
\(257\) 13.8807i 0.865855i 0.901429 + 0.432927i \(0.142519\pi\)
−0.901429 + 0.432927i \(0.857481\pi\)
\(258\) −10.0328 2.19495i −0.624615 0.136652i
\(259\) −1.96348 19.9356i −0.122005 1.23874i
\(260\) −1.59501 4.45121i −0.0989182 0.276052i
\(261\) −2.15292 + 0.677972i −0.133263 + 0.0419654i
\(262\) 19.1340 + 10.8334i 1.18210 + 0.669288i
\(263\) −2.94324 + 14.7967i −0.181488 + 0.912402i 0.777484 + 0.628902i \(0.216495\pi\)
−0.958972 + 0.283499i \(0.908505\pi\)
\(264\) −9.62456 + 12.4858i −0.592351 + 0.768450i
\(265\) −0.254156 + 0.0505549i −0.0156127 + 0.00310556i
\(266\) −13.2248 + 6.66068i −0.810866 + 0.408393i
\(267\) 4.16056 7.88364i 0.254622 0.482471i
\(268\) 0.111309 + 0.235059i 0.00679927 + 0.0143585i
\(269\) 12.7267 + 23.8100i 0.775960 + 1.45172i 0.888892 + 0.458116i \(0.151476\pi\)
−0.112933 + 0.993603i \(0.536024\pi\)
\(270\) 1.91129 + 4.72728i 0.116318 + 0.287693i
\(271\) 14.2150 + 5.88803i 0.863498 + 0.357672i 0.770074 0.637954i \(-0.220219\pi\)
0.0934232 + 0.995626i \(0.470219\pi\)
\(272\) 0.881429 1.65274i 0.0534445 0.100212i
\(273\) −11.8000 11.6762i −0.714170 0.706673i
\(274\) 8.38694 18.9325i 0.506674 1.14376i
\(275\) −13.9143 4.22087i −0.839067 0.254528i
\(276\) −0.612895 + 0.157268i −0.0368919 + 0.00946641i
\(277\) 1.79044 18.1787i 0.107577 1.09225i −0.778161 0.628065i \(-0.783847\pi\)
0.885738 0.464185i \(-0.153653\pi\)
\(278\) 0.108273 + 1.46317i 0.00649377 + 0.0877553i
\(279\) −2.98580 14.2245i −0.178755 0.851596i
\(280\) −4.51154 + 3.18211i −0.269616 + 0.190167i
\(281\) 13.8216 9.23530i 0.824528 0.550932i −0.0702056 0.997533i \(-0.522366\pi\)
0.894733 + 0.446601i \(0.147366\pi\)
\(282\) 8.16633 + 28.8892i 0.486298 + 1.72033i
\(283\) 6.97667 + 22.9990i 0.414720 + 1.36715i 0.877032 + 0.480432i \(0.159520\pi\)
−0.462312 + 0.886717i \(0.652980\pi\)
\(284\) 1.17135 + 7.87132i 0.0695067 + 0.467077i
\(285\) 4.28767 + 1.27599i 0.253980 + 0.0755829i
\(286\) −13.0979 + 8.29845i −0.774497 + 0.490698i
\(287\) −23.7869 23.7869i −1.40410 1.40410i
\(288\) −8.19117 + 14.8629i −0.482669 + 0.875803i
\(289\) −11.8658 + 11.8658i −0.697986 + 0.697986i
\(290\) −0.161599 + 0.720420i −0.00948945 + 0.0423045i
\(291\) 6.86030 23.0526i 0.402158 1.35136i
\(292\) −26.4867 + 15.8923i −1.55001 + 0.930025i
\(293\) −6.21886 + 1.88647i −0.363310 + 0.110209i −0.466661 0.884436i \(-0.654543\pi\)
0.103352 + 0.994645i \(0.467043\pi\)
\(294\) −1.09153 + 1.95182i −0.0636594 + 0.113832i
\(295\) −4.77533 7.14679i −0.278031 0.416102i
\(296\) −20.1355 + 0.508380i −1.17035 + 0.0295490i
\(297\) 13.7543 9.50863i 0.798105 0.551747i
\(298\) 15.6982 + 13.5350i 0.909375 + 0.784063i
\(299\) −0.619347 0.0610003i −0.0358177 0.00352774i
\(300\) −15.4961 2.20777i −0.894668 0.127465i
\(301\) −3.42368 + 11.2863i −0.197337 + 0.650534i
\(302\) −11.2133 + 4.32844i −0.645252 + 0.249074i
\(303\) 7.54920 7.62928i 0.433690 0.438291i
\(304\) 5.71046 + 13.7500i 0.327518 + 0.788618i
\(305\) −2.99441 + 7.22914i −0.171459 + 0.413940i
\(306\) −1.42401 + 1.38536i −0.0814054 + 0.0791957i
\(307\) 5.81220 3.10669i 0.331720 0.177308i −0.297125 0.954839i \(-0.596028\pi\)
0.628845 + 0.777530i \(0.283528\pi\)
\(308\) 13.4201 + 12.1519i 0.764680 + 0.692416i
\(309\) 0.988878 + 0.521877i 0.0562553 + 0.0296885i
\(310\) −4.51466 1.49028i −0.256416 0.0846421i
\(311\) 6.32859 + 31.8160i 0.358862 + 1.80412i 0.564435 + 0.825478i \(0.309094\pi\)
−0.205573 + 0.978642i \(0.565906\pi\)
\(312\) −12.5735 + 10.9777i −0.711836 + 0.621491i
\(313\) −28.0679 5.58305i −1.58649 0.315572i −0.678511 0.734590i \(-0.737375\pi\)
−0.907978 + 0.419017i \(0.862375\pi\)
\(314\) −27.4626 + 7.60682i −1.54980 + 0.429278i
\(315\) 5.58535 1.75887i 0.314699 0.0991012i
\(316\) 19.8345 + 0.965143i 1.11578 + 0.0542936i
\(317\) 34.0005 3.34876i 1.90966 0.188085i 0.927200 0.374565i \(-0.122208\pi\)
0.982459 + 0.186480i \(0.0597081\pi\)
\(318\) 0.493649 + 0.770137i 0.0276825 + 0.0431872i
\(319\) 2.42115 0.135558
\(320\) 2.86051 + 4.75737i 0.159907 + 0.265945i
\(321\) −5.91553 + 2.48694i −0.330173 + 0.138807i
\(322\) 0.124397 + 0.715925i 0.00693235 + 0.0398969i
\(323\) 0.170843 + 1.73460i 0.00950595 + 0.0965156i
\(324\) 13.0733 12.3729i 0.726294 0.687385i
\(325\) −13.5773 7.25722i −0.753134 0.402558i
\(326\) 6.46009 1.78937i 0.357791 0.0991039i
\(327\) −0.166204 0.813118i −0.00919110 0.0449655i
\(328\) −25.5966 + 22.1110i −1.41334 + 1.22088i
\(329\) 33.8140 6.72603i 1.86423 0.370818i
\(330\) −0.432408 5.45241i −0.0238033 0.300145i
\(331\) −18.2521 + 14.9791i −1.00323 + 0.823328i −0.984302 0.176493i \(-0.943525\pi\)
−0.0189263 + 0.999821i \(0.506025\pi\)
\(332\) −0.875189 + 0.0434041i −0.0480322 + 0.00238211i
\(333\) 20.5081 + 5.98548i 1.12384 + 0.328002i
\(334\) 9.92041 + 0.241220i 0.542821 + 0.0131990i
\(335\) −0.0833656 0.0345312i −0.00455475 0.00188664i
\(336\) 16.2714 + 10.7267i 0.887680 + 0.585190i
\(337\) 21.7560 9.01165i 1.18513 0.490896i 0.298962 0.954265i \(-0.403360\pi\)
0.886165 + 0.463369i \(0.153360\pi\)
\(338\) 1.83584 0.708653i 0.0998565 0.0385456i
\(339\) 0.610921 + 5.88433i 0.0331807 + 0.319593i
\(340\) 0.158197 + 0.630312i 0.00857944 + 0.0341835i
\(341\) −1.52814 + 15.5154i −0.0827532 + 0.840207i
\(342\) −1.33151 15.7356i −0.0719998 0.850883i
\(343\) −14.2371 9.51293i −0.768732 0.513650i
\(344\) 11.0672 + 4.26022i 0.596705 + 0.229696i
\(345\) 0.121000 0.183174i 0.00651440 0.00986173i
\(346\) 13.0772 + 16.7488i 0.703034 + 0.900422i
\(347\) 2.65438 + 8.75031i 0.142494 + 0.469741i 0.998917 0.0465349i \(-0.0148179\pi\)
−0.856422 + 0.516276i \(0.827318\pi\)
\(348\) 2.57588 0.397226i 0.138082 0.0212936i
\(349\) 0.268106 + 0.220029i 0.0143514 + 0.0117779i 0.641542 0.767088i \(-0.278295\pi\)
−0.627190 + 0.778866i \(0.715795\pi\)
\(350\) −3.93436 + 17.5396i −0.210300 + 0.937532i
\(351\) 16.2470 7.03305i 0.867202 0.375396i
\(352\) 13.1693 12.5675i 0.701925 0.669848i
\(353\) 1.16121 1.16121i 0.0618049 0.0618049i −0.675529 0.737334i \(-0.736085\pi\)
0.737334 + 0.675529i \(0.236085\pi\)
\(354\) −17.3344 + 24.9033i −0.921314 + 1.32360i
\(355\) −2.13428 1.75156i −0.113276 0.0929629i
\(356\) −6.12778 + 8.27041i −0.324772 + 0.438331i
\(357\) 1.45668 + 1.75600i 0.0770958 + 0.0929372i
\(358\) −0.623936 + 5.06846i −0.0329760 + 0.267876i
\(359\) −1.25062 1.87168i −0.0660051 0.0987836i 0.796999 0.603981i \(-0.206420\pi\)
−0.863004 + 0.505197i \(0.831420\pi\)
\(360\) −1.35459 5.72993i −0.0713933 0.301994i
\(361\) 4.27830 + 2.85867i 0.225174 + 0.150456i
\(362\) −1.25892 17.0127i −0.0661674 0.894170i
\(363\) 1.06677 0.329756i 0.0559907 0.0173077i
\(364\) 11.4258 + 15.3910i 0.598876 + 0.806705i
\(365\) 3.11089 10.2552i 0.162831 0.536783i
\(366\) 27.6170 + 0.525738i 1.44356 + 0.0274808i
\(367\) 24.8950 10.3119i 1.29951 0.538274i 0.377703 0.925927i \(-0.376714\pi\)
0.921806 + 0.387652i \(0.126714\pi\)
\(368\) 0.727052 0.0722925i 0.0379002 0.00376851i
\(369\) 32.9985 14.0782i 1.71783 0.732881i
\(370\) 5.06002 4.81979i 0.263058 0.250569i
\(371\) 0.926478 0.495213i 0.0481003 0.0257102i
\(372\) 0.919741 + 16.7577i 0.0476864 + 0.868847i
\(373\) 6.38205 5.23762i 0.330450 0.271193i −0.454507 0.890743i \(-0.650185\pi\)
0.784958 + 0.619550i \(0.212685\pi\)
\(374\) 1.90329 0.958594i 0.0984170 0.0495677i
\(375\) 9.47825 6.40576i 0.489455 0.330792i
\(376\) −4.26748 34.4019i −0.220078 1.77414i
\(377\) 2.51421 + 0.500107i 0.129488 + 0.0257568i
\(378\) −12.9777 16.0897i −0.667500 0.827567i
\(379\) −16.6169 8.88193i −0.853554 0.456234i −0.0142513 0.999898i \(-0.504536\pi\)
−0.839303 + 0.543664i \(0.817036\pi\)
\(380\) −4.67064 2.20639i −0.239599 0.113185i
\(381\) 19.8013 10.7187i 1.01445 0.549138i
\(382\) −18.0191 + 25.5978i −0.921935 + 1.30970i
\(383\) 27.9485 1.42810 0.714050 0.700095i \(-0.246859\pi\)
0.714050 + 0.700095i \(0.246859\pi\)
\(384\) 11.9490 15.5313i 0.609772 0.792577i
\(385\) −6.28122 −0.320120
\(386\) 1.04772 1.48838i 0.0533275 0.0757567i
\(387\) −9.80678 7.87651i −0.498507 0.400386i
\(388\) −11.8626 + 25.1116i −0.602231 + 1.27485i
\(389\) −24.1493 12.9081i −1.22442 0.654465i −0.272895 0.962044i \(-0.587981\pi\)
−0.951522 + 0.307579i \(0.900481\pi\)
\(390\) 0.677209 5.75129i 0.0342918 0.291228i
\(391\) 0.0838909 + 0.0166869i 0.00424254 + 0.000843894i
\(392\) 1.58726 2.03682i 0.0801688 0.102875i
\(393\) 15.0792 + 22.3119i 0.760647 + 1.12549i
\(394\) 10.0604 5.06692i 0.506836 0.255268i
\(395\) −5.32577 + 4.37075i −0.267968 + 0.219916i
\(396\) −17.3621 + 8.44698i −0.872476 + 0.424477i
\(397\) −29.0069 + 15.5045i −1.45582 + 0.778150i −0.994058 0.108856i \(-0.965281\pi\)
−0.461758 + 0.887006i \(0.652781\pi\)
\(398\) 19.0097 18.1072i 0.952871 0.907632i
\(399\) −18.1351 + 0.0956866i −0.907891 + 0.00479032i
\(400\) 17.3007 + 5.23050i 0.865034 + 0.261525i
\(401\) 3.17454 1.31494i 0.158529 0.0656649i −0.302008 0.953305i \(-0.597657\pi\)
0.460537 + 0.887641i \(0.347657\pi\)
\(402\) −0.00606275 + 0.318476i −0.000302382 + 0.0158841i
\(403\) −4.79170 + 15.7961i −0.238692 + 0.786861i
\(404\) −9.95099 + 7.38735i −0.495080 + 0.367534i
\(405\) −0.480826 + 6.22649i −0.0238924 + 0.309397i
\(406\) −0.220883 2.98496i −0.0109622 0.148141i
\(407\) −19.0539 12.7314i −0.944467 0.631073i
\(408\) 1.86766 1.33212i 0.0924630 0.0659498i
\(409\) 9.06845 + 13.5719i 0.448406 + 0.671087i 0.984961 0.172778i \(-0.0552745\pi\)
−0.536555 + 0.843866i \(0.680274\pi\)
\(410\) 1.43380 11.6473i 0.0708104 0.575218i
\(411\) 19.5190 16.1920i 0.962804 0.798691i
\(412\) −1.03739 0.768634i −0.0511087 0.0378679i
\(413\) 26.9357 + 22.1056i 1.32542 + 1.08774i
\(414\) −0.757915 0.161629i −0.0372495 0.00794364i
\(415\) 0.214972 0.214972i 0.0105526 0.0105526i
\(416\) 16.2714 10.3303i 0.797769 0.506485i
\(417\) −0.678880 + 1.66374i −0.0332449 + 0.0814735i
\(418\) −3.70755 + 16.5285i −0.181342 + 0.808435i
\(419\) 1.73158 + 1.42107i 0.0845930 + 0.0694237i 0.675739 0.737141i \(-0.263824\pi\)
−0.591146 + 0.806564i \(0.701324\pi\)
\(420\) −6.68265 + 1.03053i −0.326080 + 0.0502846i
\(421\) −2.94631 9.71269i −0.143594 0.473368i 0.855411 0.517949i \(-0.173304\pi\)
−0.999006 + 0.0445818i \(0.985804\pi\)
\(422\) −17.0726 21.8660i −0.831082 1.06442i
\(423\) −6.79222 + 36.1356i −0.330249 + 1.75697i
\(424\) −0.428725 0.965365i −0.0208207 0.0468823i
\(425\) 1.75930 + 1.17553i 0.0853388 + 0.0570216i
\(426\) −3.00627 + 9.27129i −0.145654 + 0.449196i
\(427\) 3.10922 31.5684i 0.150466 1.52770i
\(428\) 7.18685 1.80377i 0.347390 0.0871886i
\(429\) −18.8887 + 1.96106i −0.911957 + 0.0946809i
\(430\) −3.83835 + 1.48164i −0.185102 + 0.0714512i
\(431\) 4.22455 1.74987i 0.203490 0.0842882i −0.278611 0.960404i \(-0.589874\pi\)
0.482101 + 0.876116i \(0.339874\pi\)
\(432\) −17.0858 + 11.8353i −0.822042 + 0.569428i
\(433\) 8.41132 + 3.48408i 0.404222 + 0.167434i 0.575525 0.817784i \(-0.304798\pi\)
−0.171303 + 0.985218i \(0.554798\pi\)
\(434\) 19.2679 + 0.468508i 0.924887 + 0.0224891i
\(435\) −0.569958 + 0.702017i −0.0273274 + 0.0336591i
\(436\) 0.0474686 + 0.957145i 0.00227333 + 0.0458389i
\(437\) −0.525561 + 0.431317i −0.0251410 + 0.0206327i
\(438\) −37.7123 + 2.99081i −1.80196 + 0.142906i
\(439\) −5.69326 + 1.13246i −0.271724 + 0.0540493i −0.329072 0.944305i \(-0.606736\pi\)
0.0573474 + 0.998354i \(0.481736\pi\)
\(440\) −0.460207 + 6.29888i −0.0219395 + 0.300287i
\(441\) −2.26112 + 1.54559i −0.107673 + 0.0735997i
\(442\) 2.17445 0.602298i 0.103428 0.0286484i
\(443\) −15.7798 8.43449i −0.749722 0.400735i 0.0518331 0.998656i \(-0.483494\pi\)
−0.801555 + 0.597921i \(0.795994\pi\)
\(444\) −22.3604 10.4190i −1.06118 0.494463i
\(445\) −0.350036 3.55398i −0.0165933 0.168475i
\(446\) −0.620530 3.57126i −0.0293829 0.169104i
\(447\) 9.83840 + 23.4020i 0.465340 + 1.10688i
\(448\) −16.6955 15.0894i −0.788787 0.712909i
\(449\) −34.9119 −1.64760 −0.823798 0.566883i \(-0.808149\pi\)
−0.823798 + 0.566883i \(0.808149\pi\)
\(450\) −15.7916 10.8688i −0.744423 0.512360i
\(451\) −38.2975 + 3.77197i −1.80336 + 0.177615i
\(452\) 0.332010 6.82308i 0.0156164 0.320931i
\(453\) −14.6576 1.36560i −0.688673 0.0641614i
\(454\) −34.7531 + 9.62619i −1.63104 + 0.451780i
\(455\) −6.52264 1.29743i −0.305786 0.0608246i
\(456\) −1.23275 + 18.1931i −0.0577289 + 0.851970i
\(457\) 4.32625 + 21.7495i 0.202373 + 1.01740i 0.939736 + 0.341902i \(0.111071\pi\)
−0.737362 + 0.675497i \(0.763929\pi\)
\(458\) 6.95597 + 2.29614i 0.325031 + 0.107292i
\(459\) −2.31697 + 0.743092i −0.108147 + 0.0346846i
\(460\) −0.170147 + 0.187904i −0.00793314 + 0.00876108i
\(461\) 31.8594 17.0292i 1.48384 0.793130i 0.487066 0.873365i \(-0.338067\pi\)
0.996776 + 0.0802351i \(0.0255671\pi\)
\(462\) 8.09386 + 20.6431i 0.376560 + 0.960405i
\(463\) 9.22509 22.2713i 0.428726 1.03504i −0.550965 0.834528i \(-0.685740\pi\)
0.979692 0.200509i \(-0.0642596\pi\)
\(464\) −3.00953 + 0.00280462i −0.139714 + 0.000130201i
\(465\) −4.13899 4.09554i −0.191941 0.189926i
\(466\) 32.8016 12.6617i 1.51950 0.586544i
\(467\) 10.1967 33.6140i 0.471847 1.55547i −0.321626 0.946867i \(-0.604230\pi\)
0.793474 0.608605i \(-0.208270\pi\)
\(468\) −19.7742 + 5.18538i −0.914062 + 0.239694i
\(469\) 0.364043 + 0.0358551i 0.0168100 + 0.00165564i
\(470\) 9.10883 + 7.85363i 0.420159 + 0.362261i
\(471\) −34.2660 6.62817i −1.57889 0.305410i
\(472\) 24.1412 25.3918i 1.11119 1.16875i
\(473\) 7.49584 + 11.2183i 0.344659 + 0.515819i
\(474\) 21.2271 + 11.8710i 0.974992 + 0.545253i
\(475\) −16.0945 + 4.88220i −0.738464 + 0.224011i
\(476\) −1.35546 2.25906i −0.0621273 0.103544i
\(477\) 0.121574 + 1.11374i 0.00556647 + 0.0509947i
\(478\) −4.07952 + 18.1868i −0.186593 + 0.831843i
\(479\) −22.9330 + 22.9330i −1.04784 + 1.04784i −0.0490407 + 0.998797i \(0.515616\pi\)
−0.998797 + 0.0490407i \(0.984384\pi\)
\(480\) 0.543807 + 6.77694i 0.0248213 + 0.309324i
\(481\) −17.1565 17.1565i −0.782269 0.782269i
\(482\) 16.8079 10.6490i 0.765577 0.485047i
\(483\) −0.253846 + 0.852993i −0.0115504 + 0.0388125i
\(484\) −1.27526 + 0.189774i −0.0579664 + 0.00862611i
\(485\) −2.79705 9.22065i −0.127008 0.418688i
\(486\) 21.0828 6.44311i 0.956337 0.292266i
\(487\) 28.9244 19.3266i 1.31069 0.875774i 0.313418 0.949615i \(-0.398526\pi\)
0.997270 + 0.0738412i \(0.0235258\pi\)
\(488\) −31.4294 5.43089i −1.42274 0.245845i
\(489\) 8.06046 + 1.55916i 0.364506 + 0.0705076i
\(490\) 0.0661148 + 0.893460i 0.00298676 + 0.0403624i
\(491\) 0.473563 4.80816i 0.0213716 0.216989i −0.978567 0.205928i \(-0.933979\pi\)
0.999939 0.0110617i \(-0.00352112\pi\)
\(492\) −40.1262 + 10.2963i −1.80903 + 0.464194i
\(493\) −0.337150 0.102273i −0.0151845 0.00460616i
\(494\) −7.26415 + 16.3980i −0.326829 + 0.737779i
\(495\) 2.49806 6.21557i 0.112279 0.279369i
\(496\) 1.88153 19.2877i 0.0844831 0.866044i
\(497\) 10.3409 + 4.28335i 0.463853 + 0.192134i
\(498\) −0.983512 0.429493i −0.0440722 0.0192461i
\(499\) −9.18431 17.1826i −0.411146 0.769201i 0.588069 0.808811i \(-0.299888\pi\)
−0.999215 + 0.0396102i \(0.987388\pi\)
\(500\) −11.9387 + 5.65341i −0.533917 + 0.252828i
\(501\) 10.7486 + 5.67252i 0.480211 + 0.253429i
\(502\) 25.8899 13.0394i 1.15552 0.581978i
\(503\) 37.6881 7.49663i 1.68043 0.334258i 0.739576 0.673073i \(-0.235026\pi\)
0.940853 + 0.338815i \(0.110026\pi\)
\(504\) 11.9980 + 20.6345i 0.534431 + 0.919134i
\(505\) 0.838853 4.21720i 0.0373285 0.187663i
\(506\) 0.723368 + 0.409560i 0.0321576 + 0.0182072i
\(507\) 2.39974 + 0.223576i 0.106576 + 0.00992935i
\(508\) −24.4757 + 8.77040i −1.08593 + 0.389124i
\(509\) −0.320060 3.24962i −0.0141864 0.144037i 0.985482 0.169779i \(-0.0543052\pi\)
−0.999669 + 0.0257417i \(0.991805\pi\)
\(510\) −0.170105 + 0.777524i −0.00753237 + 0.0344294i
\(511\) 43.4448i 1.92189i
\(512\) −16.3551 + 15.6368i −0.722800 + 0.691058i
\(513\) 7.11770 17.9836i 0.314254 0.793996i
\(514\) 11.2995 16.0521i 0.498401 0.708026i
\(515\) 0.445790 0.0439065i 0.0196439 0.00193475i
\(516\) 9.81543 + 10.7055i 0.432100 + 0.471282i
\(517\) 18.5918 34.7829i 0.817668 1.52975i
\(518\) −13.9578 + 24.6524i −0.613272 + 1.08317i
\(519\) 5.21184 + 25.4978i 0.228774 + 1.11923i
\(520\) −1.77898 + 6.44592i −0.0780133 + 0.282672i
\(521\) −6.57013 33.0303i −0.287843 1.44708i −0.806060 0.591834i \(-0.798404\pi\)
0.518217 0.855249i \(-0.326596\pi\)
\(522\) 3.04160 + 0.968553i 0.133127 + 0.0423924i
\(523\) −12.8232 15.6251i −0.560718 0.683237i 0.413069 0.910700i \(-0.364457\pi\)
−0.973787 + 0.227463i \(0.926957\pi\)
\(524\) −13.3082 28.1039i −0.581372 1.22773i
\(525\) −13.8764 + 17.0916i −0.605616 + 0.745937i
\(526\) 15.4488 14.7154i 0.673601 0.641620i
\(527\) 0.868193 2.09600i 0.0378191 0.0913033i
\(528\) 21.2942 6.60415i 0.926710 0.287409i
\(529\) −8.78895 21.2184i −0.382128 0.922539i
\(530\) 0.335068 + 0.148432i 0.0145544 + 0.00644747i
\(531\) −32.5869 + 17.8627i −1.41415 + 0.775176i
\(532\) 20.7157 + 3.06302i 0.898139 + 0.132799i
\(533\) −40.5486 3.99369i −1.75635 0.172986i
\(534\) −11.2290 + 5.72998i −0.485928 + 0.247961i
\(535\) −1.42825 + 2.13753i −0.0617487 + 0.0924134i
\(536\) 0.0626284 0.362440i 0.00270513 0.0156550i
\(537\) −3.44728 + 5.21862i −0.148761 + 0.225200i
\(538\) 4.66490 37.8946i 0.201118 1.63375i
\(539\) 2.81139 0.852826i 0.121095 0.0367338i
\(540\) 1.63795 7.02265i 0.0704863 0.302207i
\(541\) 2.04699 2.49426i 0.0880068 0.107237i −0.727145 0.686484i \(-0.759153\pi\)
0.815152 + 0.579247i \(0.196653\pi\)
\(542\) −11.6455 18.3807i −0.500216 0.789520i
\(543\) 7.89354 19.3448i 0.338744 0.830163i
\(544\) −2.36472 + 1.19375i −0.101386 + 0.0511818i
\(545\) −0.235103 0.235103i −0.0100707 0.0100707i
\(546\) 4.14096 + 23.1084i 0.177217 + 0.988949i
\(547\) 0.582041 0.709219i 0.0248863 0.0303240i −0.760419 0.649433i \(-0.775006\pi\)
0.785305 + 0.619109i \(0.212506\pi\)
\(548\) −25.1109 + 15.0668i −1.07268 + 0.643621i
\(549\) 30.0019 + 15.6316i 1.28045 + 0.667140i
\(550\) 12.6550 + 16.2081i 0.539610 + 0.691114i
\(551\) 2.32853 1.55587i 0.0991986 0.0662824i
\(552\) 0.836793 + 0.317056i 0.0356163 + 0.0134948i
\(553\) 15.5172 23.2232i 0.659859 0.987549i
\(554\) −16.8688 + 19.5648i −0.716686 + 0.831230i
\(555\) 8.17694 2.52764i 0.347092 0.107292i
\(556\) 1.06588 1.78019i 0.0452034 0.0754971i
\(557\) −11.3193 3.43367i −0.479614 0.145489i 0.0412150 0.999150i \(-0.486877\pi\)
−0.520829 + 0.853661i \(0.674377\pi\)
\(558\) −8.12651 + 18.8802i −0.344023 + 0.799261i
\(559\) 5.46672 + 13.1978i 0.231218 + 0.558209i
\(560\) 7.80766 0.00727606i 0.329934 0.000307470i
\(561\) 2.60997 0.0137710i 0.110193 0.000581414i
\(562\) −23.5017 0.571455i −0.991358 0.0241054i
\(563\) 10.5799 + 19.7936i 0.445889 + 0.834200i 0.999998 + 0.00175631i \(0.000559051\pi\)
−0.554109 + 0.832444i \(0.686941\pi\)
\(564\) 14.0734 40.0561i 0.592596 1.68667i
\(565\) 1.50354 + 1.83207i 0.0632543 + 0.0770756i
\(566\) 10.6542 32.2761i 0.447831 1.35666i
\(567\) −5.46201 24.7208i −0.229383 1.03817i
\(568\) 5.05304 10.0562i 0.212021 0.421947i
\(569\) 9.10146 45.7561i 0.381553 1.91820i −0.0143356 0.999897i \(-0.504563\pi\)
0.395889 0.918299i \(-0.370437\pi\)
\(570\) −3.91968 4.96595i −0.164177 0.208001i
\(571\) 5.97481 11.1781i 0.250038 0.467788i −0.725321 0.688410i \(-0.758309\pi\)
0.975359 + 0.220622i \(0.0708088\pi\)
\(572\) 21.9022 + 1.06575i 0.915775 + 0.0445614i
\(573\) −33.7164 + 18.2512i −1.40852 + 0.762453i
\(574\) 8.14424 + 46.8716i 0.339934 + 1.95638i
\(575\) 0.825349i 0.0344194i
\(576\) 21.5716 10.5199i 0.898815 0.438327i
\(577\) 3.97080i 0.165306i 0.996578 + 0.0826532i \(0.0263394\pi\)
−0.996578 + 0.0826532i \(0.973661\pi\)
\(578\) 23.3812 4.06263i 0.972529 0.168983i
\(579\) 1.96044 1.06121i 0.0814731 0.0441025i
\(580\) 0.773334 0.701566i 0.0321109 0.0291309i
\(581\) −0.580980 + 1.08694i −0.0241031 + 0.0450938i
\(582\) −26.6993 + 21.0740i −1.10672 + 0.873547i
\(583\) 0.234452 1.17867i 0.00971000 0.0488155i
\(584\) 43.5670 + 3.18308i 1.80281 + 0.131717i
\(585\) 3.87795 5.93848i 0.160333 0.245526i
\(586\) 8.72735 + 2.88087i 0.360524 + 0.119008i
\(587\) −17.0637 20.7922i −0.704296 0.858187i 0.290833 0.956774i \(-0.406068\pi\)
−0.995128 + 0.0985871i \(0.968568\pi\)
\(588\) 2.85115 1.36858i 0.117579 0.0564393i
\(589\) 8.50080 + 15.9039i 0.350269 + 0.655308i
\(590\) −0.295485 + 12.1521i −0.0121649 + 0.500294i
\(591\) 13.7958 0.0727909i 0.567482 0.00299422i
\(592\) 23.6991 + 15.8033i 0.974027 + 0.649512i
\(593\) 5.21796 + 12.5973i 0.214276 + 0.517308i 0.994072 0.108726i \(-0.0346771\pi\)
−0.779796 + 0.626034i \(0.784677\pi\)
\(594\) −23.6463 0.200571i −0.970220 0.00822952i
\(595\) 0.874672 + 0.265329i 0.0358581 + 0.0108774i
\(596\) −7.13577 28.4314i −0.292293 1.16460i
\(597\) 30.7195 9.49594i 1.25727 0.388643i
\(598\) 0.666573 + 0.574719i 0.0272582 + 0.0235020i
\(599\) −13.4823 + 20.1777i −0.550873 + 0.824440i −0.997528 0.0702665i \(-0.977615\pi\)
0.446655 + 0.894706i \(0.352615\pi\)
\(600\) 16.1229 + 15.1677i 0.658216 + 0.619218i
\(601\) −32.1057 + 21.4524i −1.30962 + 0.875060i −0.997192 0.0748814i \(-0.976142\pi\)
−0.312428 + 0.949942i \(0.601142\pi\)
\(602\) 13.1468 10.2648i 0.535826 0.418363i
\(603\) −0.180262 + 0.345979i −0.00734082 + 0.0140893i
\(604\) 16.4909 + 4.12259i 0.671006 + 0.167746i
\(605\) 0.283776 0.345782i 0.0115371 0.0140580i
\(606\) −14.9407 + 2.67733i −0.606924 + 0.108759i
\(607\) 7.13010 + 7.13010i 0.289402 + 0.289402i 0.836844 0.547442i \(-0.184398\pi\)
−0.547442 + 0.836844i \(0.684398\pi\)
\(608\) 4.58941 20.5495i 0.186125 0.833393i
\(609\) 1.38495 3.39412i 0.0561212 0.137537i
\(610\) 9.34768 5.92240i 0.378476 0.239791i
\(611\) 26.4911 32.2795i 1.07172 1.30589i
\(612\) 2.77452 0.442857i 0.112153 0.0179014i
\(613\) −11.5401 + 3.50066i −0.466102 + 0.141390i −0.514596 0.857433i \(-0.672058\pi\)
0.0484936 + 0.998823i \(0.484558\pi\)
\(614\) −9.25039 1.13874i −0.373315 0.0459558i
\(615\) 7.92184 11.9924i 0.319440 0.483579i
\(616\) −5.62719 24.9773i −0.226726 1.00637i
\(617\) −10.4582 + 15.6518i −0.421030 + 0.630116i −0.979982 0.199084i \(-0.936203\pi\)
0.558952 + 0.829200i \(0.311203\pi\)
\(618\) −0.718736 1.40851i −0.0289118 0.0566584i
\(619\) −29.6595 2.92120i −1.19212 0.117413i −0.517566 0.855643i \(-0.673162\pi\)
−0.674549 + 0.738230i \(0.735662\pi\)
\(620\) 4.00773 + 5.39855i 0.160955 + 0.216811i
\(621\) −0.743122 0.590431i −0.0298205 0.0236932i
\(622\) 18.5811 41.9447i 0.745035 1.68183i
\(623\) 5.54024 + 13.3753i 0.221965 + 0.535871i
\(624\) 23.4768 2.45951i 0.939823 0.0984594i
\(625\) −6.89195 + 16.6386i −0.275678 + 0.665546i
\(626\) 27.9136 + 29.3049i 1.11565 + 1.17126i
\(627\) −13.0765 + 16.1063i −0.522224 + 0.643222i
\(628\) 37.9509 + 13.5591i 1.51440 + 0.541067i
\(629\) 2.11550 + 2.57774i 0.0843504 + 0.102781i
\(630\) −7.89087 2.51273i −0.314380 0.100109i
\(631\) 8.64874 + 43.4802i 0.344301 + 1.73092i 0.633583 + 0.773674i \(0.281583\pi\)
−0.289282 + 0.957244i \(0.593417\pi\)
\(632\) −22.1515 17.2623i −0.881141 0.686659i
\(633\) −6.80420 33.2881i −0.270443 1.32308i
\(634\) −42.0452 23.8054i −1.66983 0.945433i
\(635\) 4.25221 7.95533i 0.168744 0.315697i
\(636\) 0.0560571 1.29246i 0.00222281 0.0512495i
\(637\) 3.09561 0.304891i 0.122652 0.0120802i
\(638\) −2.79989 1.97093i −0.110849 0.0780298i
\(639\) −8.35119 + 8.52933i −0.330368 + 0.337415i
\(640\) 0.564749 7.83015i 0.0223237 0.309514i
\(641\) 8.84714i 0.349441i −0.984618 0.174721i \(-0.944098\pi\)
0.984618 0.174721i \(-0.0559022\pi\)
\(642\) 8.86537 + 1.93954i 0.349888 + 0.0765477i
\(643\) −0.145018 1.47240i −0.00571897 0.0580657i 0.991902 0.127008i \(-0.0405375\pi\)
−0.997621 + 0.0689426i \(0.978037\pi\)
\(644\) 0.438940 0.929181i 0.0172967 0.0366149i
\(645\) −5.01735 0.467450i −0.197558 0.0184058i
\(646\) 1.21447 2.14501i 0.0477829 0.0843944i
\(647\) −5.44959 + 27.3970i −0.214246 + 1.07709i 0.712579 + 0.701592i \(0.247527\pi\)
−0.926825 + 0.375494i \(0.877473\pi\)
\(648\) −25.1905 + 3.66615i −0.989575 + 0.144020i
\(649\) 39.0957 7.77663i 1.53464 0.305259i
\(650\) 9.79348 + 19.4450i 0.384132 + 0.762697i
\(651\) 20.8764 + 11.0174i 0.818209 + 0.431807i
\(652\) −8.92727 3.18954i −0.349619 0.124912i
\(653\) 11.9391 + 22.3365i 0.467214 + 0.874096i 0.999619 + 0.0276061i \(0.00878841\pi\)
−0.532405 + 0.846490i \(0.678712\pi\)
\(654\) −0.469713 + 1.07561i −0.0183672 + 0.0420597i
\(655\) 9.96729 + 4.12858i 0.389454 + 0.161317i
\(656\) 47.6001 4.73299i 1.85847 0.184792i
\(657\) −42.9908 17.2782i −1.67723 0.674085i
\(658\) −44.5788 19.7480i −1.73786 0.769857i
\(659\) 18.0088 + 5.46292i 0.701525 + 0.212805i 0.620843 0.783935i \(-0.286790\pi\)
0.0806817 + 0.996740i \(0.474290\pi\)
\(660\) −3.93846 + 6.65732i −0.153304 + 0.259136i
\(661\) −4.80780 + 48.8144i −0.187002 + 1.89866i 0.205105 + 0.978740i \(0.434246\pi\)
−0.392106 + 0.919920i \(0.628254\pi\)
\(662\) 33.3010 2.46423i 1.29428 0.0957751i
\(663\) 2.71313 + 0.524810i 0.105369 + 0.0203819i
\(664\) 1.04743 + 0.662251i 0.0406481 + 0.0257003i
\(665\) −6.04093 + 4.03642i −0.234257 + 0.156526i
\(666\) −18.8437 23.6163i −0.730178 0.915114i
\(667\) −0.0398938 0.131512i −0.00154469 0.00509217i
\(668\) −11.2759 8.35463i −0.436277 0.323250i
\(669\) 1.26626 4.25500i 0.0489565 0.164508i
\(670\) 0.0682964 + 0.107796i 0.00263852 + 0.00416453i
\(671\) −25.6594 25.6594i −0.990572 0.990572i
\(672\) −10.0847 25.6504i −0.389027 0.989486i
\(673\) 0.0374884 0.0374884i 0.00144507 0.00144507i −0.706384 0.707829i \(-0.749675\pi\)
0.707829 + 0.706384i \(0.249675\pi\)
\(674\) −32.4952 7.28910i −1.25167 0.280765i
\(675\) −11.3942 20.5288i −0.438564 0.790152i
\(676\) −2.69989 0.674951i −0.103842 0.0259597i
\(677\) 18.5910 5.63951i 0.714509 0.216744i 0.0879577 0.996124i \(-0.471966\pi\)
0.626551 + 0.779380i \(0.284466\pi\)
\(678\) 4.08363 7.30213i 0.156831 0.280436i
\(679\) 21.7017 + 32.4789i 0.832835 + 1.24643i
\(680\) 0.330160 0.857691i 0.0126610 0.0328910i
\(681\) −43.3625 8.38774i −1.66166 0.321419i
\(682\) 14.3975 16.6985i 0.551307 0.639419i
\(683\) 2.71007 + 0.266919i 0.103698 + 0.0102134i 0.149733 0.988726i \(-0.452159\pi\)
−0.0460350 + 0.998940i \(0.514659\pi\)
\(684\) −11.2697 + 19.2810i −0.430908 + 0.737227i
\(685\) 2.94930 9.72254i 0.112687 0.371479i
\(686\) 8.72024 + 22.5907i 0.332940 + 0.862517i
\(687\) 6.37714 + 6.31020i 0.243303 + 0.240749i
\(688\) −9.33046 13.9359i −0.355720 0.531301i
\(689\) 0.486926 1.17554i 0.0185504 0.0447847i
\(690\) −0.289039 + 0.113328i −0.0110035 + 0.00431432i
\(691\) −30.1433 + 16.1119i −1.14670 + 0.612926i −0.931535 0.363651i \(-0.881530\pi\)
−0.215169 + 0.976577i \(0.569030\pi\)
\(692\) −1.48852 30.0142i −0.0565852 1.14097i
\(693\) −2.37647 + 27.0523i −0.0902745 + 1.02763i
\(694\) 4.05356 12.2799i 0.153871 0.466139i
\(695\) 0.140441 + 0.706044i 0.00532723 + 0.0267818i
\(696\) −3.30219 1.63753i −0.125169 0.0620702i
\(697\) 5.49233 + 1.09249i 0.208037 + 0.0413811i
\(698\) −0.130932 0.472699i −0.00495585 0.0178919i
\(699\) 42.8770 + 3.99471i 1.62176 + 0.151094i
\(700\) 18.8279 17.0806i 0.711627 0.645585i
\(701\) −29.1979 + 2.87575i −1.10279 + 0.108615i −0.632992 0.774158i \(-0.718174\pi\)
−0.469799 + 0.882773i \(0.655674\pi\)
\(702\) −24.5138 5.09261i −0.925213 0.192208i
\(703\) −26.5064 −0.999709
\(704\) −25.4598 + 3.81299i −0.959554 + 0.143707i
\(705\) 5.70869 + 13.5789i 0.215002 + 0.511411i
\(706\) −2.28813 + 0.397578i −0.0861151 + 0.0149631i
\(707\) 1.70856 + 17.3473i 0.0642570 + 0.652412i
\(708\) 40.3185 14.6879i 1.51526 0.552004i
\(709\) −15.3798 8.22066i −0.577599 0.308733i 0.156605 0.987661i \(-0.449945\pi\)
−0.734205 + 0.678928i \(0.762445\pi\)
\(710\) 1.04229 + 3.76295i 0.0391166 + 0.141221i
\(711\) 16.8092 + 24.5910i 0.630394 + 0.922233i
\(712\) 13.8188 4.57585i 0.517883 0.171487i
\(713\) 0.867947 0.172645i 0.0325049 0.00646562i
\(714\) −0.255087 3.21649i −0.00954640 0.120374i
\(715\) −5.88095 + 4.82637i −0.219935 + 0.180496i
\(716\) 4.84749 5.35340i 0.181159 0.200066i
\(717\) −14.3884 + 17.7222i −0.537345 + 0.661847i
\(718\) −0.0773848 + 3.18253i −0.00288797 + 0.118771i
\(719\) −20.1166 8.33256i −0.750222 0.310752i −0.0253898 0.999678i \(-0.508083\pi\)
−0.724832 + 0.688926i \(0.758083\pi\)
\(720\) −3.09793 + 7.72896i −0.115453 + 0.288041i
\(721\) −1.67772 + 0.694936i −0.0624817 + 0.0258808i
\(722\) −2.62046 6.78859i −0.0975236 0.252645i
\(723\) 24.2389 2.51652i 0.901454 0.0935905i
\(724\) −12.3933 + 20.6989i −0.460594 + 0.769267i
\(725\) 0.333224 3.38329i 0.0123756 0.125652i
\(726\) −1.50208 0.487057i −0.0557473 0.0180764i
\(727\) 12.5553 + 8.38917i 0.465649 + 0.311137i 0.766170 0.642639i \(-0.222160\pi\)
−0.300520 + 0.953775i \(0.597160\pi\)
\(728\) −0.684213 27.0997i −0.0253586 1.00438i
\(729\) 26.6347 + 4.42661i 0.986469 + 0.163948i
\(730\) −11.9457 + 9.32703i −0.442132 + 0.345209i
\(731\) −0.569931 1.87881i −0.0210796 0.0694903i
\(732\) −31.5091 23.0895i −1.16461 0.853413i
\(733\) −15.0131 12.3210i −0.554523 0.455085i 0.314921 0.949118i \(-0.398022\pi\)
−0.869443 + 0.494033i \(0.835522\pi\)
\(734\) −37.1836 8.34077i −1.37247 0.307863i
\(735\) −0.414546 + 1.01593i −0.0152907 + 0.0374731i
\(736\) −0.899634 0.508253i −0.0331609 0.0187344i
\(737\) 0.295901 0.295901i 0.0108997 0.0108997i
\(738\) −49.6207 10.5819i −1.82656 0.389524i
\(739\) −34.2182 28.0821i −1.25874 1.03302i −0.997707 0.0676866i \(-0.978438\pi\)
−0.261029 0.965331i \(-0.584062\pi\)
\(740\) −9.77509 + 1.45465i −0.359339 + 0.0534741i
\(741\) −16.9059 + 14.0243i −0.621055 + 0.515195i
\(742\) −1.47453 0.181517i −0.0541318 0.00666371i
\(743\) 17.5814 + 26.3125i 0.645001 + 0.965311i 0.999542 + 0.0302711i \(0.00963706\pi\)
−0.354541 + 0.935040i \(0.615363\pi\)
\(744\) 12.5779 20.1278i 0.461130 0.737922i
\(745\) 8.45612 + 5.65020i 0.309808 + 0.207007i
\(746\) −11.6441 + 0.861645i −0.426319 + 0.0315471i
\(747\) −0.844520 1.00719i −0.0308994 0.0368510i
\(748\) −2.98136 0.440824i −0.109009 0.0161181i
\(749\) 3.02529 9.97306i 0.110542 0.364408i
\(750\) −16.1755 0.307929i −0.590646 0.0112440i
\(751\) 26.8243 11.1110i 0.978834 0.405446i 0.164841 0.986320i \(-0.447289\pi\)
0.813994 + 0.580874i \(0.197289\pi\)
\(752\) −23.0697 + 43.2573i −0.841265 + 1.57743i
\(753\) 35.5026 0.187323i 1.29379 0.00682643i
\(754\) −2.50039 2.62502i −0.0910590 0.0955976i
\(755\) −5.20115 + 2.78008i −0.189289 + 0.101177i
\(756\) 1.90999 + 29.1711i 0.0694657 + 1.06094i
\(757\) −25.8991 + 21.2549i −0.941319 + 0.772521i −0.973907 0.226948i \(-0.927125\pi\)
0.0325874 + 0.999469i \(0.489625\pi\)
\(758\) 11.9860 + 23.7983i 0.435351 + 0.864392i
\(759\) 0.570077 + 0.843512i 0.0206925 + 0.0306175i
\(760\) 3.60517 + 6.35365i 0.130773 + 0.230471i
\(761\) −23.5603 4.68643i −0.854060 0.169883i −0.251402 0.967883i \(-0.580892\pi\)
−0.602658 + 0.798000i \(0.705892\pi\)
\(762\) −31.6244 3.72374i −1.14563 0.134897i
\(763\) 1.18872 + 0.635386i 0.0430347 + 0.0230025i
\(764\) 41.6755 14.9337i 1.50777 0.540281i
\(765\) −0.610416 + 0.760008i −0.0220696 + 0.0274781i
\(766\) −32.3204 22.7513i −1.16778 0.822040i
\(767\) 42.2048 1.52393
\(768\) −26.4614 + 8.23375i −0.954843 + 0.297110i
\(769\) −0.547116 −0.0197295 −0.00986476 0.999951i \(-0.503140\pi\)
−0.00986476 + 0.999951i \(0.503140\pi\)
\(770\) 7.26378 + 5.11320i 0.261768 + 0.184267i
\(771\) 21.1431 11.4451i 0.761451 0.412184i
\(772\) −2.42323 + 0.868318i −0.0872138 + 0.0312514i
\(773\) −15.3442 8.20164i