Properties

Label 441.2.ba.a.106.37
Level $441$
Weight $2$
Character 441.106
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.ba (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 106.37
Character \(\chi\) \(=\) 441.106
Dual form 441.2.ba.a.337.37

$q$-expansion

\(f(q)\) \(=\) \(q+(1.14224 - 0.172165i) q^{2} +(-1.17379 + 1.27366i) q^{3} +(-0.636071 + 0.196202i) q^{4} +(0.529157 + 0.360773i) q^{5} +(-1.12147 + 1.65691i) q^{6} +(-2.14355 - 1.55086i) q^{7} +(-2.77426 + 1.33602i) q^{8} +(-0.244420 - 2.99003i) q^{9} +O(q^{10})\) \(q+(1.14224 - 0.172165i) q^{2} +(-1.17379 + 1.27366i) q^{3} +(-0.636071 + 0.196202i) q^{4} +(0.529157 + 0.360773i) q^{5} +(-1.12147 + 1.65691i) q^{6} +(-2.14355 - 1.55086i) q^{7} +(-2.77426 + 1.33602i) q^{8} +(-0.244420 - 2.99003i) q^{9} +(0.666537 + 0.320987i) q^{10} +(-2.10343 + 0.317042i) q^{11} +(0.496721 - 1.04044i) q^{12} +(-1.22608 + 3.12400i) q^{13} +(-2.71546 - 1.40242i) q^{14} +(-1.08062 + 0.250493i) q^{15} +(-1.83890 + 1.25374i) q^{16} +(-0.602864 - 2.64132i) q^{17} +(-0.793966 - 3.37325i) q^{18} -0.0842543 q^{19} +(-0.407365 - 0.125656i) q^{20} +(4.49136 - 0.909766i) q^{21} +(-2.34805 + 0.724276i) q^{22} +(-8.13087 + 2.50804i) q^{23} +(1.55478 - 5.10167i) q^{24} +(-1.67686 - 4.27256i) q^{25} +(-0.862636 + 3.77946i) q^{26} +(4.09518 + 3.19836i) q^{27} +(1.66773 + 0.565890i) q^{28} +(0.678807 + 0.209384i) q^{29} +(-1.19121 + 0.472169i) q^{30} +(-2.81897 - 4.88260i) q^{31} +(2.62981 - 2.44011i) q^{32} +(2.06519 - 3.05120i) q^{33} +(-1.14336 - 2.91323i) q^{34} +(-0.574766 - 1.59399i) q^{35} +(0.742118 + 1.85391i) q^{36} +(2.30149 + 10.0835i) q^{37} +(-0.0962388 + 0.0145057i) q^{38} +(-2.53975 - 5.22854i) q^{39} +(-1.95002 - 0.293918i) q^{40} +(5.09579 + 3.47425i) q^{41} +(4.97359 - 1.81243i) q^{42} +(-5.97774 + 4.07556i) q^{43} +(1.27573 - 0.614359i) q^{44} +(0.949384 - 1.67037i) q^{45} +(-8.85562 + 4.26464i) q^{46} +(6.67939 - 1.00676i) q^{47} +(0.561649 - 3.81377i) q^{48} +(2.18964 + 6.64872i) q^{49} +(-2.65096 - 4.59160i) q^{50} +(4.07178 + 2.33252i) q^{51} +(0.166939 - 2.22765i) q^{52} +(-2.18445 + 9.57070i) q^{53} +(5.22833 + 2.94826i) q^{54} +(-1.22743 - 0.591097i) q^{55} +(8.01876 + 1.43869i) q^{56} +(0.0988971 - 0.107311i) q^{57} +(0.811410 + 0.122300i) q^{58} +(0.754087 + 10.0626i) q^{59} +(0.638205 - 0.371352i) q^{60} +(-6.02514 - 1.85851i) q^{61} +(-4.06056 - 5.09178i) q^{62} +(-4.11320 + 6.78834i) q^{63} +(5.35909 - 6.72009i) q^{64} +(-1.77584 + 1.21075i) q^{65} +(1.83364 - 3.84076i) q^{66} +(-3.52720 - 6.10929i) q^{67} +(0.901696 + 1.56178i) q^{68} +(6.34957 - 13.2999i) q^{69} +(-0.930950 - 1.72176i) q^{70} +(0.526392 - 2.30627i) q^{71} +(4.67281 + 7.96857i) q^{72} +(7.67519 - 9.62438i) q^{73} +(4.36488 + 11.1215i) q^{74} +(7.41007 + 2.87935i) q^{75} +(0.0535917 - 0.0165309i) q^{76} +(5.00051 + 2.58254i) q^{77} +(-3.80119 - 5.53500i) q^{78} +(-1.66455 + 2.88308i) q^{79} -1.42538 q^{80} +(-8.88052 + 1.46165i) q^{81} +(6.41877 + 3.09111i) q^{82} +(4.66249 + 11.8798i) q^{83} +(-2.67833 + 1.45989i) q^{84} +(0.633907 - 1.61517i) q^{85} +(-6.12636 + 5.68443i) q^{86} +(-1.06346 + 0.618796i) q^{87} +(5.41191 - 3.68978i) q^{88} +(8.00349 - 10.0361i) q^{89} +(0.796845 - 2.07142i) q^{90} +(7.47307 - 4.79498i) q^{91} +(4.67973 - 3.19059i) q^{92} +(9.52766 + 2.14075i) q^{93} +(7.45614 - 2.29992i) q^{94} +(-0.0445837 - 0.0303967i) q^{95} +(0.0210148 + 6.21366i) q^{96} +(-3.08038 + 5.33538i) q^{97} +(3.64578 + 7.21746i) q^{98} +(1.46209 + 6.21183i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 10q^{3} + 47q^{4} - 9q^{5} - 34q^{6} - 7q^{7} - 28q^{8} + O(q^{10}) \) \( 648q - 5q^{2} - 10q^{3} + 47q^{4} - 9q^{5} - 34q^{6} - 7q^{7} - 28q^{8} - 28q^{10} - 5q^{11} + 5q^{12} - 7q^{13} - 38q^{14} - 22q^{15} + 47q^{16} - 16q^{17} - 46q^{18} - 44q^{19} - 29q^{20} - 12q^{21} - 13q^{22} - 20q^{23} - 2q^{24} + 41q^{25} - 20q^{26} - 13q^{27} - 28q^{28} - 35q^{29} - 6q^{30} - 20q^{31} - 25q^{32} - 22q^{33} - q^{34} - 44q^{35} - 28q^{36} - 30q^{37} - 7q^{38} - 8q^{39} + 5q^{40} - 29q^{41} - 104q^{42} - 13q^{43} - 88q^{44} + 63q^{45} + 32q^{46} - 55q^{47} - 14q^{48} - q^{49} + 6q^{50} - 18q^{51} + 3q^{52} - 136q^{53} + 30q^{54} - 100q^{55} + 145q^{56} - 96q^{57} + 17q^{58} - 19q^{59} + 118q^{60} + 42q^{61} + 96q^{62} - 6q^{63} - 124q^{64} - 11q^{65} + 120q^{66} - 26q^{67} + 166q^{68} - 134q^{69} - 7q^{70} - 22q^{71} + 32q^{72} + 8q^{73} - 45q^{74} - 36q^{75} - 41q^{76} + q^{77} - 18q^{78} - 26q^{79} - 440q^{80} + 64q^{81} - 28q^{82} + 61q^{83} - 86q^{84} + 5q^{85} + 15q^{86} + 34q^{87} - q^{88} + 22q^{89} + 96q^{90} - 16q^{91} - 43q^{92} - 110q^{93} - q^{94} - 38q^{95} - 165q^{96} - 14q^{97} - 144q^{98} - 196q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.14224 0.172165i 0.807687 0.121739i 0.267797 0.963475i \(-0.413704\pi\)
0.539889 + 0.841736i \(0.318466\pi\)
\(3\) −1.17379 + 1.27366i −0.677690 + 0.735348i
\(4\) −0.636071 + 0.196202i −0.318036 + 0.0981010i
\(5\) 0.529157 + 0.360773i 0.236646 + 0.161343i 0.675837 0.737051i \(-0.263782\pi\)
−0.439191 + 0.898394i \(0.644735\pi\)
\(6\) −1.12147 + 1.65691i −0.457840 + 0.676432i
\(7\) −2.14355 1.55086i −0.810187 0.586171i
\(8\) −2.77426 + 1.33602i −0.980850 + 0.472353i
\(9\) −0.244420 2.99003i −0.0814735 0.996676i
\(10\) 0.666537 + 0.320987i 0.210778 + 0.101505i
\(11\) −2.10343 + 0.317042i −0.634209 + 0.0955917i −0.458275 0.888810i \(-0.651533\pi\)
−0.175934 + 0.984402i \(0.556295\pi\)
\(12\) 0.496721 1.04044i 0.143391 0.300349i
\(13\) −1.22608 + 3.12400i −0.340054 + 0.866443i 0.653894 + 0.756586i \(0.273134\pi\)
−0.993947 + 0.109856i \(0.964961\pi\)
\(14\) −2.71546 1.40242i −0.725737 0.374811i
\(15\) −1.08062 + 0.250493i −0.279015 + 0.0646770i
\(16\) −1.83890 + 1.25374i −0.459726 + 0.313436i
\(17\) −0.602864 2.64132i −0.146216 0.640614i −0.993916 0.110138i \(-0.964871\pi\)
0.847700 0.530475i \(-0.177987\pi\)
\(18\) −0.793966 3.37325i −0.187139 0.795083i
\(19\) −0.0842543 −0.0193293 −0.00966463 0.999953i \(-0.503076\pi\)
−0.00966463 + 0.999953i \(0.503076\pi\)
\(20\) −0.407365 0.125656i −0.0910897 0.0280974i
\(21\) 4.49136 0.909766i 0.980095 0.198527i
\(22\) −2.34805 + 0.724276i −0.500605 + 0.154416i
\(23\) −8.13087 + 2.50804i −1.69540 + 0.522963i −0.983746 0.179563i \(-0.942532\pi\)
−0.711658 + 0.702526i \(0.752055\pi\)
\(24\) 1.55478 5.10167i 0.317369 1.04137i
\(25\) −1.67686 4.27256i −0.335371 0.854512i
\(26\) −0.862636 + 3.77946i −0.169177 + 0.741212i
\(27\) 4.09518 + 3.19836i 0.788117 + 0.615525i
\(28\) 1.66773 + 0.565890i 0.315172 + 0.106943i
\(29\) 0.678807 + 0.209384i 0.126051 + 0.0388817i 0.357139 0.934051i \(-0.383752\pi\)
−0.231088 + 0.972933i \(0.574228\pi\)
\(30\) −1.19121 + 0.472169i −0.217483 + 0.0862059i
\(31\) −2.81897 4.88260i −0.506302 0.876941i −0.999973 0.00729242i \(-0.997679\pi\)
0.493671 0.869649i \(-0.335655\pi\)
\(32\) 2.62981 2.44011i 0.464889 0.431354i
\(33\) 2.06519 3.05120i 0.359504 0.531146i
\(34\) −1.14336 2.91323i −0.196084 0.499615i
\(35\) −0.574766 1.59399i −0.0971532 0.269433i
\(36\) 0.742118 + 1.85391i 0.123686 + 0.308986i
\(37\) 2.30149 + 10.0835i 0.378363 + 1.65772i 0.702484 + 0.711700i \(0.252074\pi\)
−0.324121 + 0.946016i \(0.605068\pi\)
\(38\) −0.0962388 + 0.0145057i −0.0156120 + 0.00235313i
\(39\) −2.53975 5.22854i −0.406686 0.837237i
\(40\) −1.95002 0.293918i −0.308325 0.0464725i
\(41\) 5.09579 + 3.47425i 0.795828 + 0.542587i 0.891604 0.452816i \(-0.149581\pi\)
−0.0957754 + 0.995403i \(0.530533\pi\)
\(42\) 4.97359 1.81243i 0.767441 0.279664i
\(43\) −5.97774 + 4.07556i −0.911597 + 0.621516i −0.925648 0.378385i \(-0.876480\pi\)
0.0140511 + 0.999901i \(0.495527\pi\)
\(44\) 1.27573 0.614359i 0.192323 0.0926181i
\(45\) 0.949384 1.67037i 0.141526 0.249004i
\(46\) −8.85562 + 4.26464i −1.30569 + 0.628787i
\(47\) 6.67939 1.00676i 0.974288 0.146850i 0.357443 0.933935i \(-0.383649\pi\)
0.616845 + 0.787084i \(0.288410\pi\)
\(48\) 0.561649 3.81377i 0.0810670 0.550470i
\(49\) 2.18964 + 6.64872i 0.312806 + 0.949817i
\(50\) −2.65096 4.59160i −0.374902 0.649350i
\(51\) 4.07178 + 2.33252i 0.570163 + 0.326618i
\(52\) 0.166939 2.22765i 0.0231503 0.308919i
\(53\) −2.18445 + 9.57070i −0.300057 + 1.31464i 0.569983 + 0.821656i \(0.306950\pi\)
−0.870041 + 0.492980i \(0.835908\pi\)
\(54\) 5.22833 + 2.94826i 0.711485 + 0.401207i
\(55\) −1.22743 0.591097i −0.165506 0.0797035i
\(56\) 8.01876 + 1.43869i 1.07155 + 0.192252i
\(57\) 0.0988971 0.107311i 0.0130992 0.0142137i
\(58\) 0.811410 + 0.122300i 0.106543 + 0.0160588i
\(59\) 0.754087 + 10.0626i 0.0981737 + 1.31004i 0.800995 + 0.598671i \(0.204304\pi\)
−0.702821 + 0.711366i \(0.748077\pi\)
\(60\) 0.638205 0.371352i 0.0823919 0.0479413i
\(61\) −6.02514 1.85851i −0.771440 0.237958i −0.116045 0.993244i \(-0.537022\pi\)
−0.655395 + 0.755286i \(0.727498\pi\)
\(62\) −4.06056 5.09178i −0.515692 0.646657i
\(63\) −4.11320 + 6.78834i −0.518214 + 0.855251i
\(64\) 5.35909 6.72009i 0.669886 0.840011i
\(65\) −1.77584 + 1.21075i −0.220266 + 0.150175i
\(66\) 1.83364 3.84076i 0.225705 0.472765i
\(67\) −3.52720 6.10929i −0.430916 0.746369i 0.566036 0.824380i \(-0.308476\pi\)
−0.996952 + 0.0780117i \(0.975143\pi\)
\(68\) 0.901696 + 1.56178i 0.109347 + 0.189394i
\(69\) 6.34957 13.2999i 0.764398 1.60112i
\(70\) −0.930950 1.72176i −0.111270 0.205790i
\(71\) 0.526392 2.30627i 0.0624712 0.273704i −0.934039 0.357170i \(-0.883742\pi\)
0.996511 + 0.0834656i \(0.0265989\pi\)
\(72\) 4.67281 + 7.96857i 0.550696 + 0.939105i
\(73\) 7.67519 9.62438i 0.898313 1.12645i −0.0930969 0.995657i \(-0.529677\pi\)
0.991410 0.130792i \(-0.0417519\pi\)
\(74\) 4.36488 + 11.1215i 0.507407 + 1.29285i
\(75\) 7.41007 + 2.87935i 0.855641 + 0.332479i
\(76\) 0.0535917 0.0165309i 0.00614739 0.00189622i
\(77\) 5.00051 + 2.58254i 0.569861 + 0.294308i
\(78\) −3.80119 5.53500i −0.430399 0.626716i
\(79\) −1.66455 + 2.88308i −0.187276 + 0.324372i −0.944341 0.328968i \(-0.893299\pi\)
0.757065 + 0.653340i \(0.226633\pi\)
\(80\) −1.42538 −0.159363
\(81\) −8.88052 + 1.46165i −0.986724 + 0.162405i
\(82\) 6.41877 + 3.09111i 0.708834 + 0.341356i
\(83\) 4.66249 + 11.8798i 0.511775 + 1.30398i 0.920293 + 0.391230i \(0.127950\pi\)
−0.408518 + 0.912750i \(0.633954\pi\)
\(84\) −2.67833 + 1.45989i −0.292229 + 0.159287i
\(85\) 0.633907 1.61517i 0.0687568 0.175190i
\(86\) −6.12636 + 5.68443i −0.660622 + 0.612968i
\(87\) −1.06346 + 0.618796i −0.114015 + 0.0663419i
\(88\) 5.41191 3.68978i 0.576911 0.393332i
\(89\) 8.00349 10.0361i 0.848369 1.06382i −0.148818 0.988865i \(-0.547547\pi\)
0.997187 0.0749561i \(-0.0238817\pi\)
\(90\) 0.796845 2.07142i 0.0839949 0.218347i
\(91\) 7.47307 4.79498i 0.783391 0.502651i
\(92\) 4.67973 3.19059i 0.487896 0.332642i
\(93\) 9.52766 + 2.14075i 0.987973 + 0.221986i
\(94\) 7.45614 2.29992i 0.769042 0.237218i
\(95\) −0.0445837 0.0303967i −0.00457419 0.00311863i
\(96\) 0.0210148 + 6.21366i 0.00214481 + 0.634179i
\(97\) −3.08038 + 5.33538i −0.312766 + 0.541726i −0.978960 0.204052i \(-0.934589\pi\)
0.666194 + 0.745778i \(0.267922\pi\)
\(98\) 3.64578 + 7.21746i 0.368279 + 0.729074i
\(99\) 1.46209 + 6.21183i 0.146945 + 0.624313i
\(100\) 1.90488 + 2.38865i 0.190488 + 0.238865i
\(101\) −0.0310794 + 0.414726i −0.00309252 + 0.0412668i −0.998537 0.0540807i \(-0.982777\pi\)
0.995444 + 0.0953475i \(0.0303962\pi\)
\(102\) 5.05253 + 1.96328i 0.500275 + 0.194394i
\(103\) −10.2933 7.01786i −1.01423 0.691490i −0.0623790 0.998053i \(-0.519869\pi\)
−0.951851 + 0.306563i \(0.900821\pi\)
\(104\) −0.772244 10.3049i −0.0757247 1.01048i
\(105\) 2.70485 + 1.13895i 0.263967 + 0.111150i
\(106\) −0.847427 + 11.3081i −0.0823094 + 1.09834i
\(107\) −4.86102 + 6.09552i −0.469932 + 0.589276i −0.959154 0.282883i \(-0.908709\pi\)
0.489222 + 0.872159i \(0.337281\pi\)
\(108\) −3.23235 1.23090i −0.311033 0.118444i
\(109\) −11.6804 14.6468i −1.11878 1.40290i −0.904679 0.426093i \(-0.859890\pi\)
−0.214100 0.976812i \(-0.568682\pi\)
\(110\) −1.50378 0.463856i −0.143380 0.0442269i
\(111\) −15.5444 8.90461i −1.47541 0.845188i
\(112\) 5.88617 + 0.164423i 0.556191 + 0.0155365i
\(113\) −2.73902 0.412841i −0.257666 0.0388368i 0.0189390 0.999821i \(-0.493971\pi\)
−0.276605 + 0.960984i \(0.589209\pi\)
\(114\) 0.0944891 0.139602i 0.00884972 0.0130749i
\(115\) −5.20734 1.60625i −0.485587 0.149784i
\(116\) −0.472851 −0.0439031
\(117\) 9.64053 + 2.90245i 0.891268 + 0.268331i
\(118\) 2.59378 + 11.3641i 0.238777 + 1.04615i
\(119\) −2.80405 + 6.59677i −0.257047 + 0.604725i
\(120\) 2.66327 2.13866i 0.243122 0.195232i
\(121\) −6.18738 + 1.90855i −0.562489 + 0.173505i
\(122\) −7.20213 1.08555i −0.652051 0.0982808i
\(123\) −10.4064 + 2.41225i −0.938315 + 0.217506i
\(124\) 2.75104 + 2.55259i 0.247051 + 0.229230i
\(125\) 1.36666 5.98773i 0.122238 0.535559i
\(126\) −3.52955 + 8.46208i −0.314437 + 0.753862i
\(127\) −3.11993 13.6693i −0.276849 1.21295i −0.901752 0.432253i \(-0.857719\pi\)
0.624903 0.780702i \(-0.285138\pi\)
\(128\) 1.37693 2.38492i 0.121705 0.210799i
\(129\) 1.82576 12.3975i 0.160749 1.09154i
\(130\) −1.81999 + 1.68871i −0.159624 + 0.148109i
\(131\) −0.604398 8.06513i −0.0528065 0.704654i −0.959292 0.282417i \(-0.908864\pi\)
0.906485 0.422237i \(-0.138755\pi\)
\(132\) −0.714958 + 2.34598i −0.0622291 + 0.204191i
\(133\) 0.180604 + 0.130667i 0.0156603 + 0.0113303i
\(134\) −5.08072 6.37102i −0.438907 0.550373i
\(135\) 1.01311 + 3.16986i 0.0871944 + 0.272818i
\(136\) 5.20134 + 6.52228i 0.446012 + 0.559281i
\(137\) 2.99964 2.04512i 0.256277 0.174726i −0.428366 0.903605i \(-0.640911\pi\)
0.684643 + 0.728879i \(0.259958\pi\)
\(138\) 4.96296 16.2849i 0.422475 1.38626i
\(139\) −5.53810 3.77582i −0.469736 0.320260i 0.305213 0.952284i \(-0.401272\pi\)
−0.774949 + 0.632024i \(0.782225\pi\)
\(140\) 0.678335 + 0.901118i 0.0573298 + 0.0761584i
\(141\) −6.55795 + 9.68899i −0.552279 + 0.815960i
\(142\) 0.204207 2.72495i 0.0171366 0.228672i
\(143\) 1.58854 6.95986i 0.132841 0.582012i
\(144\) 4.19819 + 5.19193i 0.349849 + 0.432661i
\(145\) 0.283655 + 0.355692i 0.0235563 + 0.0295386i
\(146\) 7.10994 12.3148i 0.588422 1.01918i
\(147\) −11.0384 5.01536i −0.910432 0.413660i
\(148\) −3.44231 5.96226i −0.282956 0.490095i
\(149\) −5.48212 + 13.9682i −0.449113 + 1.14432i 0.509717 + 0.860342i \(0.329750\pi\)
−0.958830 + 0.283979i \(0.908345\pi\)
\(150\) 8.95981 + 2.01316i 0.731566 + 0.164374i
\(151\) 6.90697 + 6.40873i 0.562081 + 0.521535i 0.909241 0.416271i \(-0.136663\pi\)
−0.347160 + 0.937806i \(0.612854\pi\)
\(152\) 0.233744 0.112565i 0.0189591 0.00913023i
\(153\) −7.75026 + 2.44817i −0.626571 + 0.197923i
\(154\) 6.15642 + 2.08897i 0.496098 + 0.168334i
\(155\) 0.269833 3.60067i 0.0216735 0.289213i
\(156\) 2.64131 + 2.82742i 0.211474 + 0.226375i
\(157\) −0.462579 6.17269i −0.0369178 0.492634i −0.984763 0.173903i \(-0.944362\pi\)
0.947845 0.318732i \(-0.103257\pi\)
\(158\) −1.40495 + 3.57975i −0.111772 + 0.284790i
\(159\) −9.62572 14.0163i −0.763370 1.11156i
\(160\) 2.27190 0.342434i 0.179610 0.0270718i
\(161\) 21.3186 + 7.23375i 1.68014 + 0.570100i
\(162\) −9.89205 + 3.19847i −0.777193 + 0.251295i
\(163\) −13.8524 6.67094i −1.08500 0.522508i −0.196088 0.980586i \(-0.562824\pi\)
−0.888912 + 0.458078i \(0.848538\pi\)
\(164\) −3.92294 1.21007i −0.306330 0.0944903i
\(165\) 2.19360 0.869498i 0.170772 0.0676903i
\(166\) 7.37098 + 12.7669i 0.572099 + 0.990905i
\(167\) −11.1914 + 10.3841i −0.866020 + 0.803549i −0.981838 0.189722i \(-0.939241\pi\)
0.115818 + 0.993270i \(0.463051\pi\)
\(168\) −11.2448 + 8.52446i −0.867552 + 0.657676i
\(169\) 1.27355 + 1.18168i 0.0979653 + 0.0908985i
\(170\) 0.445999 1.95405i 0.0342065 0.149869i
\(171\) 0.0205935 + 0.251923i 0.00157482 + 0.0192650i
\(172\) 3.00264 3.76519i 0.228949 0.287093i
\(173\) 14.7547 + 13.6904i 1.12178 + 1.04086i 0.998826 + 0.0484503i \(0.0154283\pi\)
0.122957 + 0.992412i \(0.460762\pi\)
\(174\) −1.10820 + 0.889906i −0.0840122 + 0.0674636i
\(175\) −3.03173 + 11.7590i −0.229177 + 0.888899i
\(176\) 3.47052 3.22017i 0.261600 0.242730i
\(177\) −13.7015 10.8509i −1.02986 0.815607i
\(178\) 7.41406 12.8415i 0.555707 0.962513i
\(179\) −1.80537 7.90984i −0.134940 0.591209i −0.996503 0.0835589i \(-0.973371\pi\)
0.861563 0.507650i \(-0.169486\pi\)
\(180\) −0.276145 + 1.24875i −0.0205826 + 0.0930761i
\(181\) −7.92529 + 9.93799i −0.589082 + 0.738685i −0.983632 0.180189i \(-0.942329\pi\)
0.394550 + 0.918874i \(0.370900\pi\)
\(182\) 7.71053 6.76363i 0.571542 0.501354i
\(183\) 9.43938 5.49248i 0.697779 0.406015i
\(184\) 19.2064 17.8209i 1.41592 1.31378i
\(185\) −2.42000 + 6.16606i −0.177922 + 0.453338i
\(186\) 11.2515 + 0.804923i 0.824997 + 0.0590198i
\(187\) 2.10549 + 5.36471i 0.153969 + 0.392306i
\(188\) −4.05104 + 1.95088i −0.295452 + 0.142282i
\(189\) −3.81800 13.2069i −0.277719 0.960662i
\(190\) −0.0561586 0.0270446i −0.00407418 0.00196202i
\(191\) 1.16040 15.4845i 0.0839636 1.12042i −0.782992 0.622031i \(-0.786308\pi\)
0.866956 0.498385i \(-0.166073\pi\)
\(192\) 2.26864 + 14.7137i 0.163725 + 1.06187i
\(193\) −5.50980 3.75652i −0.396604 0.270400i 0.348553 0.937289i \(-0.386673\pi\)
−0.745157 + 0.666889i \(0.767626\pi\)
\(194\) −2.59998 + 6.62463i −0.186667 + 0.475621i
\(195\) 0.542389 3.68299i 0.0388413 0.263745i
\(196\) −2.69726 3.79945i −0.192661 0.271389i
\(197\) 13.9334 0.992716 0.496358 0.868118i \(-0.334670\pi\)
0.496358 + 0.868118i \(0.334670\pi\)
\(198\) 2.73952 + 6.84369i 0.194689 + 0.486360i
\(199\) −14.7756 + 7.11557i −1.04742 + 0.504409i −0.876763 0.480922i \(-0.840302\pi\)
−0.170653 + 0.985331i \(0.554588\pi\)
\(200\) 10.3602 + 9.61290i 0.732580 + 0.679735i
\(201\) 11.9214 + 2.67859i 0.840868 + 0.188933i
\(202\) 0.0359012 + 0.479068i 0.00252600 + 0.0337071i
\(203\) −1.13033 1.50156i −0.0793338 0.105389i
\(204\) −3.04758 0.684756i −0.213374 0.0479425i
\(205\) 1.44305 + 3.67684i 0.100787 + 0.256802i
\(206\) −12.9657 6.24394i −0.903361 0.435036i
\(207\) 9.48646 + 23.6985i 0.659355 + 1.64716i
\(208\) −1.66205 7.28193i −0.115243 0.504911i
\(209\) 0.177223 0.0267121i 0.0122588 0.00184772i
\(210\) 3.28568 + 0.835277i 0.226734 + 0.0576396i
\(211\) 14.2287 + 2.14463i 0.979544 + 0.147643i 0.619248 0.785195i \(-0.287438\pi\)
0.360296 + 0.932838i \(0.382676\pi\)
\(212\) −0.488324 6.51624i −0.0335383 0.447537i
\(213\) 2.31953 + 3.37753i 0.158932 + 0.231425i
\(214\) −4.50302 + 7.79946i −0.307820 + 0.533160i
\(215\) −4.63351 −0.316003
\(216\) −15.6342 3.40189i −1.06377 0.231469i
\(217\) −1.52963 + 14.8380i −0.103838 + 1.00727i
\(218\) −15.8635 14.7192i −1.07441 0.996908i
\(219\) 3.24911 + 21.0726i 0.219555 + 1.42396i
\(220\) 0.896705 + 0.135156i 0.0604558 + 0.00911225i
\(221\) 8.99065 + 1.35512i 0.604776 + 0.0911554i
\(222\) −19.2885 7.49501i −1.29456 0.503032i
\(223\) 13.6949 + 12.7070i 0.917077 + 0.850923i 0.989215 0.146471i \(-0.0467916\pi\)
−0.0721376 + 0.997395i \(0.522982\pi\)
\(224\) −9.42140 + 1.15202i −0.629494 + 0.0769727i
\(225\) −12.3652 + 6.05814i −0.824347 + 0.403876i
\(226\) −3.19970 −0.212841
\(227\) −8.30235 + 14.3801i −0.551047 + 0.954441i 0.447153 + 0.894458i \(0.352438\pi\)
−0.998199 + 0.0599831i \(0.980895\pi\)
\(228\) −0.0418509 + 0.0876615i −0.00277164 + 0.00580552i
\(229\) −0.981665 13.0994i −0.0648702 0.865633i −0.930814 0.365492i \(-0.880901\pi\)
0.865944 0.500141i \(-0.166718\pi\)
\(230\) −6.22458 0.938204i −0.410437 0.0618634i
\(231\) −9.15885 + 3.33758i −0.602608 + 0.219597i
\(232\) −2.16293 + 0.326009i −0.142003 + 0.0214036i
\(233\) −0.400813 1.75608i −0.0262581 0.115044i 0.960100 0.279655i \(-0.0902202\pi\)
−0.986359 + 0.164611i \(0.947363\pi\)
\(234\) 11.5115 + 1.65553i 0.752531 + 0.108225i
\(235\) 3.89765 + 1.87701i 0.254255 + 0.122443i
\(236\) −2.45395 6.25257i −0.159739 0.407008i
\(237\) −1.71823 5.50421i −0.111611 0.357537i
\(238\) −2.06717 + 8.01786i −0.133995 + 0.519721i
\(239\) −1.04335 13.9225i −0.0674887 0.900575i −0.923495 0.383610i \(-0.874681\pi\)
0.856007 0.516965i \(-0.172938\pi\)
\(240\) 1.67311 1.81545i 0.107998 0.117187i
\(241\) −0.254846 0.236462i −0.0164160 0.0152319i 0.671922 0.740622i \(-0.265469\pi\)
−0.688338 + 0.725390i \(0.741659\pi\)
\(242\) −6.73890 + 3.24528i −0.433193 + 0.208615i
\(243\) 8.56225 13.0264i 0.549268 0.835646i
\(244\) 4.19706 0.268689
\(245\) −1.24001 + 4.30818i −0.0792215 + 0.275239i
\(246\) −11.4713 + 4.54700i −0.731385 + 0.289906i
\(247\) 0.103303 0.263211i 0.00657299 0.0167477i
\(248\) 14.3438 + 9.77944i 0.910832 + 0.620995i
\(249\) −20.6037 8.00603i −1.30570 0.507362i
\(250\) 0.530177 7.07473i 0.0335314 0.447445i
\(251\) −9.15928 4.41088i −0.578129 0.278412i 0.121882 0.992545i \(-0.461107\pi\)
−0.700011 + 0.714132i \(0.746821\pi\)
\(252\) 1.28440 5.12489i 0.0809095 0.322837i
\(253\) 16.3076 7.85333i 1.02525 0.493735i
\(254\) −5.91709 15.0765i −0.371271 0.945984i
\(255\) 1.31310 + 2.70325i 0.0822295 + 0.169284i
\(256\) −5.11825 + 13.0411i −0.319891 + 0.815068i
\(257\) 0.319149 0.296127i 0.0199080 0.0184719i −0.670156 0.742220i \(-0.733773\pi\)
0.690064 + 0.723748i \(0.257582\pi\)
\(258\) −0.0489557 14.4752i −0.00304785 0.901189i
\(259\) 10.7048 25.1838i 0.665161 1.56485i
\(260\) 0.892012 1.11855i 0.0553202 0.0693694i
\(261\) 0.460150 2.08083i 0.0284826 0.128800i
\(262\) −2.07890 9.10827i −0.128435 0.562711i
\(263\) −6.60152 + 11.4342i −0.407067 + 0.705061i −0.994560 0.104169i \(-0.966782\pi\)
0.587493 + 0.809229i \(0.300115\pi\)
\(264\) −1.65294 + 11.2240i −0.101731 + 0.690787i
\(265\) −4.60876 + 4.27631i −0.283114 + 0.262691i
\(266\) 0.228789 + 0.118160i 0.0140280 + 0.00724483i
\(267\) 3.38809 + 21.9740i 0.207348 + 1.34479i
\(268\) 3.44220 + 3.19390i 0.210266 + 0.195098i
\(269\) 12.9656 16.2583i 0.790524 0.991286i −0.209385 0.977833i \(-0.567146\pi\)
0.999910 0.0134529i \(-0.00428232\pi\)
\(270\) 1.70295 + 3.44633i 0.103638 + 0.209737i
\(271\) −4.49451 + 19.6917i −0.273022 + 1.19619i 0.633403 + 0.773822i \(0.281658\pi\)
−0.906425 + 0.422366i \(0.861200\pi\)
\(272\) 4.42014 + 4.10129i 0.268010 + 0.248677i
\(273\) −2.66466 + 15.1465i −0.161273 + 0.916706i
\(274\) 3.07422 2.85246i 0.185720 0.172323i
\(275\) 4.88173 + 8.45541i 0.294380 + 0.509881i
\(276\) −1.42931 + 9.70547i −0.0860345 + 0.584201i
\(277\) −20.1347 6.21072i −1.20978 0.373166i −0.376705 0.926333i \(-0.622943\pi\)
−0.833070 + 0.553167i \(0.813419\pi\)
\(278\) −6.97592 3.35942i −0.418388 0.201485i
\(279\) −13.9101 + 9.62220i −0.832775 + 0.576066i
\(280\) 3.72414 + 3.65424i 0.222560 + 0.218383i
\(281\) 6.77592 1.02130i 0.404217 0.0609259i 0.0562127 0.998419i \(-0.482097\pi\)
0.348004 + 0.937493i \(0.386859\pi\)
\(282\) −5.82266 + 12.1962i −0.346734 + 0.726274i
\(283\) 4.22085 10.7546i 0.250904 0.639292i −0.748821 0.662773i \(-0.769380\pi\)
0.999724 + 0.0234807i \(0.00747483\pi\)
\(284\) 0.117673 + 1.57023i 0.00698259 + 0.0931762i
\(285\) 0.0910471 0.0211051i 0.00539316 0.00125016i
\(286\) 0.616253 8.22333i 0.0364398 0.486256i
\(287\) −5.53501 15.3501i −0.326721 0.906089i
\(288\) −7.93876 7.26678i −0.467796 0.428199i
\(289\) 8.70335 4.19131i 0.511962 0.246548i
\(290\) 0.385240 + 0.357451i 0.0226221 + 0.0209902i
\(291\) −3.17973 10.1860i −0.186399 0.597114i
\(292\) −2.99364 + 7.62768i −0.175190 + 0.446376i
\(293\) −3.97138 6.87863i −0.232010 0.401854i 0.726389 0.687284i \(-0.241197\pi\)
−0.958400 + 0.285430i \(0.907864\pi\)
\(294\) −13.4720 3.82832i −0.785702 0.223272i
\(295\) −3.23128 + 5.59674i −0.188132 + 0.325855i
\(296\) −19.8566 24.8994i −1.15414 1.44725i
\(297\) −9.62795 5.42921i −0.558670 0.315034i
\(298\) −3.85707 + 16.8989i −0.223434 + 0.978928i
\(299\) 2.13398 28.4759i 0.123411 1.64681i
\(300\) −5.27826 0.377604i −0.304741 0.0218010i
\(301\) 19.1342 + 0.534492i 1.10288 + 0.0308076i
\(302\) 8.99278 + 6.13118i 0.517477 + 0.352810i
\(303\) −0.491739 0.526387i −0.0282497 0.0302401i
\(304\) 0.154936 0.105633i 0.00888616 0.00605848i
\(305\) −2.51774 3.15715i −0.144166 0.180778i
\(306\) −8.43118 + 4.13073i −0.481978 + 0.236138i
\(307\) 3.53599 + 4.43399i 0.201810 + 0.253061i 0.872430 0.488740i \(-0.162543\pi\)
−0.670620 + 0.741801i \(0.733972\pi\)
\(308\) −3.68738 0.661571i −0.210108 0.0376965i
\(309\) 21.0206 4.87266i 1.19582 0.277196i
\(310\) −0.311696 4.15929i −0.0177031 0.236232i
\(311\) −14.3318 + 13.2979i −0.812680 + 0.754057i −0.972454 0.233097i \(-0.925114\pi\)
0.159774 + 0.987154i \(0.448924\pi\)
\(312\) 14.0314 + 11.1122i 0.794369 + 0.629105i
\(313\) −3.44615 + 5.96890i −0.194788 + 0.337382i −0.946831 0.321732i \(-0.895735\pi\)
0.752043 + 0.659114i \(0.229068\pi\)
\(314\) −1.59110 6.97106i −0.0897909 0.393400i
\(315\) −4.62557 + 2.10817i −0.260622 + 0.118782i
\(316\) 0.493105 2.16043i 0.0277393 0.121534i
\(317\) −5.72696 5.31384i −0.321658 0.298455i 0.502772 0.864419i \(-0.332314\pi\)
−0.824430 + 0.565964i \(0.808504\pi\)
\(318\) −13.4080 14.3527i −0.751884 0.804862i
\(319\) −1.49421 0.225216i −0.0836597 0.0126097i
\(320\) 5.26022 1.62256i 0.294055 0.0907041i
\(321\) −2.05780 13.3462i −0.114855 0.744910i
\(322\) 25.5964 + 4.59237i 1.42643 + 0.255923i
\(323\) 0.0507939 + 0.222542i 0.00282625 + 0.0123826i
\(324\) 5.36186 2.67209i 0.297881 0.148449i
\(325\) 15.4034 0.854430
\(326\) −16.9712 5.23493i −0.939950 0.289936i
\(327\) 32.3654 + 2.31540i 1.78981 + 0.128042i
\(328\) −18.7787 2.83044i −1.03688 0.156285i
\(329\) −15.8790 8.20078i −0.875435 0.452124i
\(330\) 2.35592 1.37084i 0.129689 0.0754622i
\(331\) 7.30165 + 2.25226i 0.401335 + 0.123795i 0.488850 0.872368i \(-0.337416\pi\)
−0.0875154 + 0.996163i \(0.527893\pi\)
\(332\) −5.29652 6.64162i −0.290684 0.364506i
\(333\) 29.5874 9.34613i 1.62138 0.512165i
\(334\) −10.9955 + 13.7880i −0.601649 + 0.754444i
\(335\) 0.337625 4.50529i 0.0184464 0.246150i
\(336\) −7.11856 + 7.30398i −0.388349 + 0.398465i
\(337\) −0.381304 5.08815i −0.0207710 0.277169i −0.997913 0.0645797i \(-0.979429\pi\)
0.977142 0.212590i \(-0.0681897\pi\)
\(338\) 1.65815 + 1.13050i 0.0901912 + 0.0614913i
\(339\) 3.74087 3.00399i 0.203176 0.163155i
\(340\) −0.0863106 + 1.15174i −0.00468085 + 0.0624616i
\(341\) 7.47751 + 9.37650i 0.404930 + 0.507766i
\(342\) 0.0668950 + 0.284211i 0.00361727 + 0.0153684i
\(343\) 5.61764 17.6477i 0.303324 0.952887i
\(344\) 11.1388 19.2930i 0.600566 1.04021i
\(345\) 8.15816 4.74697i 0.439220 0.255568i
\(346\) 19.2105 + 13.0975i 1.03276 + 0.704126i
\(347\) −7.03269 + 2.16930i −0.377535 + 0.116454i −0.477714 0.878515i \(-0.658535\pi\)
0.100179 + 0.994969i \(0.468058\pi\)
\(348\) 0.555029 0.602252i 0.0297527 0.0322841i
\(349\) −13.0807 + 8.91827i −0.700194 + 0.477384i −0.860347 0.509708i \(-0.829753\pi\)
0.160154 + 0.987092i \(0.448801\pi\)
\(350\) −1.43847 + 13.9536i −0.0768893 + 0.745852i
\(351\) −15.0127 + 8.87189i −0.801320 + 0.473547i
\(352\) −4.75801 + 5.96636i −0.253603 + 0.318008i
\(353\) −15.2235 + 10.3792i −0.810267 + 0.552430i −0.896086 0.443880i \(-0.853602\pi\)
0.0858195 + 0.996311i \(0.472649\pi\)
\(354\) −17.5185 10.0355i −0.931099 0.533380i
\(355\) 1.11058 1.03047i 0.0589437 0.0546918i
\(356\) −3.12170 + 7.95395i −0.165450 + 0.421559i
\(357\) −5.11066 11.3146i −0.270485 0.598835i
\(358\) −3.42397 8.72413i −0.180962 0.461084i
\(359\) −8.11833 3.90958i −0.428469 0.206340i 0.207205 0.978298i \(-0.433563\pi\)
−0.635674 + 0.771958i \(0.719278\pi\)
\(360\) −0.402198 + 5.90245i −0.0211977 + 0.311086i
\(361\) −18.9929 −0.999626
\(362\) −7.34161 + 12.7160i −0.385867 + 0.668341i
\(363\) 4.83185 10.1209i 0.253607 0.531208i
\(364\) −3.81262 + 4.51618i −0.199836 + 0.236712i
\(365\) 7.53359 2.32381i 0.394326 0.121634i
\(366\) 9.83643 7.89886i 0.514159 0.412880i
\(367\) 7.51759 + 19.1545i 0.392415 + 0.999857i 0.981445 + 0.191746i \(0.0614149\pi\)
−0.589030 + 0.808111i \(0.700490\pi\)
\(368\) 11.8074 14.8061i 0.615506 0.771820i
\(369\) 9.14258 16.0857i 0.475944 0.837389i
\(370\) −1.70264 + 7.45977i −0.0885162 + 0.387815i
\(371\) 19.5253 17.1275i 1.01370 0.889216i
\(372\) −6.48029 + 0.507676i −0.335987 + 0.0263218i
\(373\) 8.61809 + 14.9270i 0.446228 + 0.772890i 0.998137 0.0610149i \(-0.0194337\pi\)
−0.551909 + 0.833904i \(0.686100\pi\)
\(374\) 3.32860 + 5.76530i 0.172118 + 0.298116i
\(375\) 6.02216 + 8.76902i 0.310983 + 0.452830i
\(376\) −17.1853 + 11.7168i −0.886266 + 0.604246i
\(377\) −1.48639 + 1.86387i −0.0765530 + 0.0959944i
\(378\) −6.63485 14.4282i −0.341260 0.742105i
\(379\) −11.0455 13.8506i −0.567369 0.711459i 0.412532 0.910943i \(-0.364645\pi\)
−0.979901 + 0.199485i \(0.936073\pi\)
\(380\) 0.0343223 + 0.0105870i 0.00176070 + 0.000543103i
\(381\) 21.0722 + 12.0712i 1.07956 + 0.618427i
\(382\) −1.34043 17.8868i −0.0685823 0.915167i
\(383\) 25.9057 + 3.90466i 1.32372 + 0.199519i 0.772593 0.634902i \(-0.218960\pi\)
0.551128 + 0.834421i \(0.314198\pi\)
\(384\) 1.42134 + 4.55314i 0.0725324 + 0.232351i
\(385\) 1.71434 + 3.17062i 0.0873710 + 0.161590i
\(386\) −6.94026 3.34225i −0.353250 0.170116i
\(387\) 13.6471 + 16.8775i 0.693721 + 0.857930i
\(388\) 0.912531 3.99806i 0.0463267 0.202971i
\(389\) −2.76463 + 36.8914i −0.140172 + 1.87047i 0.275967 + 0.961167i \(0.411002\pi\)
−0.416139 + 0.909301i \(0.636617\pi\)
\(390\) −0.0145436 4.30025i −0.000736442 0.217751i
\(391\) 11.5263 + 19.9642i 0.582912 + 1.00963i
\(392\) −14.9574 15.5199i −0.755465 0.783874i
\(393\) 10.9817 + 8.69700i 0.553952 + 0.438705i
\(394\) 15.9153 2.39885i 0.801803 0.120852i
\(395\) −1.92095 + 0.925079i −0.0966532 + 0.0465458i
\(396\) −2.14876 3.66430i −0.107979 0.184138i
\(397\) −23.4716 + 11.3033i −1.17801 + 0.567298i −0.917330 0.398129i \(-0.869660\pi\)
−0.260676 + 0.965426i \(0.583945\pi\)
\(398\) −15.6523 + 10.6715i −0.784578 + 0.534916i
\(399\) −0.378417 + 0.0766517i −0.0189445 + 0.00383739i
\(400\) 8.44026 + 5.75447i 0.422013 + 0.287724i
\(401\) −0.401077 0.0604527i −0.0200288 0.00301886i 0.139020 0.990290i \(-0.455605\pi\)
−0.159049 + 0.987271i \(0.550843\pi\)
\(402\) 14.0782 + 1.00715i 0.702158 + 0.0502320i
\(403\) 18.7096 2.82001i 0.931989 0.140475i
\(404\) −0.0616013 0.269893i −0.00306478 0.0134277i
\(405\) −5.22651 2.43041i −0.259707 0.120768i
\(406\) −1.54963 1.52054i −0.0769069 0.0754634i
\(407\) −8.03792 20.4803i −0.398425 1.01517i
\(408\) −14.4125 1.03106i −0.713523 0.0510451i
\(409\) 2.35226 2.18258i 0.116312 0.107921i −0.619873 0.784702i \(-0.712816\pi\)
0.736185 + 0.676781i \(0.236625\pi\)
\(410\) 2.28134 + 3.95140i 0.112667 + 0.195146i
\(411\) −0.916169 + 6.22107i −0.0451913 + 0.306863i
\(412\) 7.92419 + 2.44429i 0.390397 + 0.120421i
\(413\) 13.9893 22.7392i 0.688367 1.11892i
\(414\) 14.9159 + 25.4362i 0.733076 + 1.25012i
\(415\) −1.81873 + 7.96839i −0.0892781 + 0.391153i
\(416\) 4.39854 + 11.2073i 0.215656 + 0.549483i
\(417\) 11.3097 2.62164i 0.553838 0.128382i
\(418\) 0.197833 0.0610234i 0.00967633 0.00298475i
\(419\) 10.7415 3.31332i 0.524758 0.161866i −0.0210473 0.999778i \(-0.506700\pi\)
0.545805 + 0.837912i \(0.316224\pi\)
\(420\) −1.94394 0.193758i −0.0948547 0.00945440i
\(421\) 27.3628 + 8.44029i 1.33358 + 0.411355i 0.877923 0.478801i \(-0.158929\pi\)
0.455656 + 0.890156i \(0.349405\pi\)
\(422\) 16.6218 0.809139
\(423\) −4.64280 19.7255i −0.225741 0.959085i
\(424\) −6.72636 29.4701i −0.326661 1.43119i
\(425\) −10.2743 + 7.00488i −0.498375 + 0.339787i
\(426\) 3.23096 + 3.45861i 0.156541 + 0.167570i
\(427\) 10.0329 + 13.3280i 0.485527 + 0.644986i
\(428\) 1.89600 4.83093i 0.0916466 0.233512i
\(429\) 6.99987 + 10.1927i 0.337957 + 0.492108i
\(430\) −5.29259 + 0.797729i −0.255231 + 0.0384699i
\(431\) 19.2162 + 9.25404i 0.925612 + 0.445751i 0.835071 0.550141i \(-0.185426\pi\)
0.0905407 + 0.995893i \(0.471140\pi\)
\(432\) −11.5406 0.747182i −0.555245 0.0359488i
\(433\) 31.4156 15.1289i 1.50974 0.727051i 0.518004 0.855378i \(-0.326675\pi\)
0.991732 + 0.128328i \(0.0409609\pi\)
\(434\) 0.807369 + 17.2119i 0.0387549 + 0.826197i
\(435\) −0.785983 0.0562288i −0.0376850 0.00269597i
\(436\) 10.3033 + 7.02466i 0.493438 + 0.336420i
\(437\) 0.685061 0.211313i 0.0327709 0.0101085i
\(438\) 7.33924 + 23.5106i 0.350682 + 1.12338i
\(439\) 2.33602 0.352098i 0.111492 0.0168047i −0.0930592 0.995661i \(-0.529665\pi\)
0.204551 + 0.978856i \(0.434426\pi\)
\(440\) 4.19492 0.199985
\(441\) 19.3447 8.17217i 0.921174 0.389151i
\(442\) 10.5028 0.499567
\(443\) −20.3786 + 3.07157i −0.968215 + 0.145935i −0.614066 0.789254i \(-0.710467\pi\)
−0.354148 + 0.935189i \(0.615229\pi\)
\(444\) 11.6345 + 2.61412i 0.552147 + 0.124061i
\(445\) 7.85584 2.42321i 0.372403 0.114871i
\(446\) 17.8306 + 12.1567i 0.844302 + 0.575635i
\(447\) −11.3559 23.3782i −0.537115 1.10575i
\(448\) −21.9094 + 6.09365i −1.03512 + 0.287898i
\(449\) −6.32155 + 3.04430i −0.298332 + 0.143669i −0.577062 0.816700i \(-0.695801\pi\)
0.278730 + 0.960370i \(0.410087\pi\)
\(450\) −13.0810 + 9.04872i −0.616646 + 0.426561i
\(451\) −11.8201 5.69228i −0.556589 0.268039i
\(452\) 1.82321 0.274805i 0.0857568 0.0129258i
\(453\) −16.2699 + 1.27461i −0.764426 + 0.0598863i
\(454\) −7.00754 + 17.8549i −0.328880 + 0.837973i
\(455\) 5.68433 + 0.158785i 0.266485 + 0.00744395i
\(456\) −0.130997 + 0.429838i −0.00613450 + 0.0201290i
\(457\) 11.1476 7.60033i 0.521464 0.355528i −0.273804 0.961785i \(-0.588282\pi\)
0.795269 + 0.606257i \(0.207330\pi\)
\(458\) −3.37656 14.7937i −0.157776 0.691263i
\(459\) 5.97906 12.7448i 0.279079 0.594878i
\(460\) 3.62739 0.169128
\(461\) 33.2635 + 10.2604i 1.54923 + 0.477875i 0.947213 0.320605i \(-0.103886\pi\)
0.602021 + 0.798480i \(0.294362\pi\)
\(462\) −9.88700 + 5.38916i −0.459985 + 0.250726i
\(463\) −7.94547 + 2.45085i −0.369257 + 0.113901i −0.473830 0.880617i \(-0.657129\pi\)
0.104572 + 0.994517i \(0.466653\pi\)
\(464\) −1.51077 + 0.466012i −0.0701359 + 0.0216341i
\(465\) 4.26930 + 4.57011i 0.197984 + 0.211934i
\(466\) −0.760160 1.93686i −0.0352137 0.0897231i
\(467\) −4.98015 + 21.8194i −0.230454 + 1.00968i 0.718811 + 0.695205i \(0.244687\pi\)
−0.949265 + 0.314478i \(0.898171\pi\)
\(468\) −6.70153 + 0.0453301i −0.309778 + 0.00209538i
\(469\) −1.91393 + 18.5658i −0.0883772 + 0.857289i
\(470\) 4.77521 + 1.47296i 0.220264 + 0.0679425i
\(471\) 8.40488 + 6.65629i 0.387276 + 0.306706i
\(472\) −15.5358 26.9088i −0.715094 1.23858i
\(473\) 11.2817 10.4679i 0.518732 0.481313i
\(474\) −2.91027 5.99132i −0.133673 0.275190i
\(475\) 0.141282 + 0.359982i 0.00648248 + 0.0165171i
\(476\) 0.489279 4.74617i 0.0224261 0.217540i
\(477\) 29.1506 + 4.19229i 1.33471 + 0.191952i
\(478\) −3.58874 15.7233i −0.164145 0.719166i
\(479\) 0.634300 0.0956054i 0.0289819 0.00436832i −0.134535 0.990909i \(-0.542954\pi\)
0.163517 + 0.986540i \(0.447716\pi\)
\(480\) −2.23060 + 3.29558i −0.101812 + 0.150422i
\(481\) −34.3227 5.17331i −1.56498 0.235883i
\(482\) −0.331806 0.226221i −0.0151133 0.0103041i
\(483\) −34.2370 + 18.6617i −1.55784 + 0.849138i
\(484\) 3.56115 2.42795i 0.161871 0.110361i
\(485\) −3.55487 + 1.71193i −0.161418 + 0.0777349i
\(486\) 7.53746 16.3535i 0.341906 0.741808i
\(487\) 5.92825 2.85489i 0.268635 0.129368i −0.294718 0.955584i \(-0.595226\pi\)
0.563352 + 0.826217i \(0.309511\pi\)
\(488\) 19.1983 2.89368i 0.869067 0.130991i
\(489\) 24.7563 9.81289i 1.11952 0.443754i
\(490\) −0.674676 + 5.13447i −0.0304788 + 0.231951i
\(491\) −13.6816 23.6971i −0.617440 1.06944i −0.989951 0.141410i \(-0.954837\pi\)
0.372511 0.928028i \(-0.378497\pi\)
\(492\) 6.14593 3.57612i 0.277080 0.161224i
\(493\) 0.143822 1.91918i 0.00647743 0.0864353i
\(494\) 0.0726808 0.318435i 0.00327006 0.0143271i
\(495\) −1.46739 + 3.81451i −0.0659542 + 0.171450i
\(496\) 11.3053 + 5.44436i 0.507625 + 0.244459i
\(497\) −4.70506 + 4.12726i −0.211051 + 0.185133i
\(498\) −24.9127 5.59759i −1.11637 0.250834i
\(499\) 39.3327 + 5.92845i 1.76077 + 0.265394i 0.948247 0.317532i \(-0.102854\pi\)
0.812525 + 0.582926i \(0.198092\pi\)
\(500\) 0.305511 + 4.07676i 0.0136629 + 0.182318i
\(501\) −0.0894307 26.4429i −0.00399547 1.18138i
\(502\) −11.2215 3.46138i −0.500841 0.154489i
\(503\) 25.5021 + 31.9786i 1.13708 + 1.42586i 0.889468 + 0.456997i \(0.151075\pi\)
0.247614 + 0.968859i \(0.420353\pi\)
\(504\) 2.34176 24.3280i 0.104310 1.08365i
\(505\) −0.166068 + 0.208242i −0.00738992 + 0.00926666i
\(506\) 17.2752 11.7780i 0.767974 0.523596i
\(507\) −2.99994 + 0.235020i −0.133232 + 0.0104376i
\(508\) 4.66644 + 8.08251i 0.207040 + 0.358604i
\(509\) −5.32478 9.22280i −0.236017 0.408793i 0.723551 0.690271i \(-0.242509\pi\)
−0.959568 + 0.281478i \(0.909175\pi\)
\(510\) 1.96528 + 2.86170i 0.0870242 + 0.126718i
\(511\) −31.3783 + 8.72721i −1.38809 + 0.386069i
\(512\) −4.82664 + 21.1469i −0.213309 + 0.934570i
\(513\) −0.345036 0.269476i −0.0152337 0.0118977i
\(514\) 0.313562 0.393195i 0.0138306 0.0173431i
\(515\) −2.91492 7.42709i −0.128447 0.327277i
\(516\) 1.27110 + 8.24389i 0.0559569 + 0.362917i
\(517\) −13.7305 + 4.23529i −0.603865 + 0.186268i
\(518\) 7.89164 30.6090i 0.346739 1.34488i
\(519\) −34.7559 + 2.72283i −1.52562 + 0.119519i
\(520\) 3.30908 5.73150i 0.145113 0.251343i
\(521\) 16.8912 0.740016 0.370008 0.929029i \(-0.379355\pi\)
0.370008 + 0.929029i \(0.379355\pi\)
\(522\) 0.167356 2.45603i 0.00732499 0.107498i
\(523\) 21.9374 + 10.5645i 0.959256 + 0.461954i 0.846922 0.531717i \(-0.178453\pi\)
0.112334 + 0.993670i \(0.464167\pi\)
\(524\) 1.96683 + 5.01141i 0.0859216 + 0.218925i
\(525\) −11.4184 17.6641i −0.498339 0.770923i
\(526\) −5.57196 + 14.1971i −0.242949 + 0.619024i
\(527\) −11.1970 + 10.3893i −0.487751 + 0.452567i
\(528\) 0.0277329 + 8.20008i 0.00120692 + 0.356863i
\(529\) 40.8173 27.8288i 1.77467 1.20995i
\(530\) −4.52809 + 5.67804i −0.196688 + 0.246638i
\(531\) 29.9031 4.71424i 1.29768 0.204581i
\(532\) −0.140514 0.0476787i −0.00609205 0.00206713i
\(533\) −17.1014 + 11.6596i −0.740745 + 0.505031i
\(534\) 7.65317 + 24.5163i 0.331185 + 1.06092i
\(535\) −4.77134 + 1.47176i −0.206283 + 0.0636299i
\(536\) 17.9475 + 12.2364i 0.775213 + 0.528532i
\(537\) 12.1936 + 6.98509i 0.526192 + 0.301429i
\(538\) 12.0107 20.8031i 0.517818 0.896886i
\(539\) −6.71369 13.2909i −0.289179 0.572481i
\(540\) −1.26634 1.81748i −0.0544947 0.0782121i
\(541\) −27.6767 34.7055i −1.18991 1.49210i −0.828766 0.559596i \(-0.810956\pi\)
−0.361148 0.932508i \(-0.617615\pi\)
\(542\) −1.74359 + 23.2665i −0.0748934 + 0.999383i
\(543\) −3.35498 21.7593i −0.143976 0.933780i
\(544\) −8.03051 5.47511i −0.344305 0.234743i
\(545\) −0.896608 11.9644i −0.0384064 0.512498i
\(546\) −0.435991 + 17.7597i −0.0186587 + 0.760045i
\(547\) −0.813809 + 10.8595i −0.0347960 + 0.464320i 0.952405 + 0.304837i \(0.0986018\pi\)
−0.987201 + 0.159483i \(0.949017\pi\)
\(548\) −1.50673 + 1.88938i −0.0643642 + 0.0807102i
\(549\) −4.08433 + 18.4696i −0.174315 + 0.788263i
\(550\) 7.03185 + 8.81766i 0.299839 + 0.375986i
\(551\) −0.0571924 0.0176415i −0.00243648 0.000751555i
\(552\) 0.153478 + 45.3805i 0.00653247 + 1.93152i
\(553\) 8.03932 3.59856i 0.341867 0.153026i
\(554\) −24.0679 3.62766i −1.02255 0.154124i
\(555\) −5.01289 10.3199i −0.212785 0.438057i
\(556\) 4.26345 + 1.31510i 0.180811 + 0.0557727i
\(557\) −7.91088 −0.335195 −0.167597 0.985856i \(-0.553601\pi\)
−0.167597 + 0.985856i \(0.553601\pi\)
\(558\) −14.2321 + 13.3857i −0.602492 + 0.566662i
\(559\) −5.40285 23.6715i −0.228516 1.00120i
\(560\) 3.05539 + 2.21058i 0.129114 + 0.0934139i
\(561\) −9.30422 3.61537i −0.392825 0.152641i
\(562\) 7.56390 2.33315i 0.319064 0.0984181i
\(563\) −32.9393 4.96481i −1.38823 0.209242i −0.587962 0.808888i \(-0.700070\pi\)
−0.800265 + 0.599647i \(0.795308\pi\)
\(564\) 2.27032 7.44957i 0.0955979 0.313683i
\(565\) −1.30043 1.20662i −0.0547095 0.0507630i
\(566\) 2.96967 13.0110i 0.124825 0.546892i
\(567\) 21.3027 + 10.6394i 0.894628 + 0.446811i
\(568\) 1.62087 + 7.10148i 0.0680100 + 0.297971i
\(569\) −1.19091 + 2.06272i −0.0499256 + 0.0864736i −0.889908 0.456140i \(-0.849232\pi\)
0.839983 + 0.542613i \(0.182565\pi\)
\(570\) 0.100364 0.0397823i 0.00420379 0.00166630i
\(571\) −18.0992 + 16.7936i −0.757428 + 0.702791i −0.961085 0.276251i \(-0.910908\pi\)
0.203657 + 0.979042i \(0.434717\pi\)
\(572\) 0.355112 + 4.73864i 0.0148480 + 0.198132i
\(573\) 18.3599 + 19.6535i 0.766995 + 0.821037i
\(574\) −8.96507 16.5806i −0.374195 0.692061i
\(575\) 24.3501 + 30.5340i 1.01547 + 1.27336i
\(576\) −21.4031 14.3813i −0.891796 0.599221i
\(577\) −10.5787 13.2652i −0.440395 0.552238i 0.511252 0.859431i \(-0.329182\pi\)
−0.951647 + 0.307193i \(0.900610\pi\)
\(578\) 9.21973 6.28591i 0.383490 0.261459i
\(579\) 11.2519 2.60824i 0.467613 0.108395i
\(580\) −0.250212 0.170592i −0.0103895 0.00708344i
\(581\) 8.42970 32.6959i 0.349723 1.35646i
\(582\) −5.38569 11.0874i −0.223244 0.459589i
\(583\) 1.56054 20.8239i 0.0646308 0.862438i
\(584\) −8.43468 + 36.9547i −0.349030 + 1.52920i
\(585\) 4.05423 + 5.01389i 0.167622 + 0.207299i
\(586\) −5.72053 7.17332i −0.236313 0.296327i
\(587\) 12.1599 21.0616i 0.501893 0.869304i −0.498105 0.867117i \(-0.665971\pi\)
0.999998 0.00218681i \(-0.000696085\pi\)
\(588\) 8.00523 + 1.02437i 0.330130 + 0.0422443i
\(589\) 0.237511 + 0.411380i 0.00978645 + 0.0169506i
\(590\) −2.72734 + 6.94914i −0.112283 + 0.286092i
\(591\) −16.3550 + 17.7465i −0.672753 + 0.729992i
\(592\) −16.8743 15.6571i −0.693530 0.643502i
\(593\) −23.8028 + 11.4628i −0.977463 + 0.470721i −0.853232 0.521532i \(-0.825361\pi\)
−0.124231 + 0.992253i \(0.539646\pi\)
\(594\) −11.9322 4.54387i −0.489583 0.186437i
\(595\) −3.86372 + 2.47910i −0.158397 + 0.101633i
\(596\) 0.746428 9.96038i 0.0305749 0.407993i
\(597\) 8.28072 27.1713i 0.338907 1.11205i
\(598\) −2.46505 32.8938i −0.100803 1.34513i
\(599\) −1.19664 + 3.04900i −0.0488936 + 0.124579i −0.953234 0.302233i \(-0.902268\pi\)
0.904341 + 0.426812i \(0.140363\pi\)
\(600\) −24.4043 + 1.91187i −0.996303 + 0.0780519i
\(601\) 12.6881 1.91242i 0.517558 0.0780093i 0.114931 0.993373i \(-0.463335\pi\)
0.402627 + 0.915364i \(0.368097\pi\)
\(602\) 21.9479 2.68373i 0.894532 0.109381i
\(603\) −17.4048 + 12.0397i −0.708779 + 0.490293i
\(604\) −5.65073 2.72125i −0.229925 0.110726i
\(605\) −3.96265 1.22231i −0.161105 0.0496942i
\(606\) −0.652310 0.516601i −0.0264983 0.0209855i
\(607\) −10.9340 18.9383i −0.443798 0.768680i 0.554170 0.832404i \(-0.313036\pi\)
−0.997968 + 0.0637236i \(0.979702\pi\)
\(608\) −0.221573 + 0.205589i −0.00898596 + 0.00833775i
\(609\) 3.23926 + 0.322865i 0.131261 + 0.0130831i
\(610\) −3.41942 3.17276i −0.138448 0.128461i
\(611\) −5.04436 + 22.1008i −0.204073 + 0.894102i
\(612\) 4.44938 3.07783i 0.179856 0.124414i
\(613\) −18.9790 + 23.7989i −0.766554 + 0.961228i −0.999938 0.0111567i \(-0.996449\pi\)
0.233384 + 0.972385i \(0.425020\pi\)
\(614\) 4.80233 + 4.45591i 0.193806 + 0.179826i
\(615\) −6.37690 2.47789i −0.257141 0.0999182i
\(616\) −17.3231 0.483899i −0.697966 0.0194968i
\(617\) −26.0579 + 24.1782i −1.04905 + 0.973376i −0.999677 0.0254047i \(-0.991913\pi\)
−0.0493723 + 0.998780i \(0.515722\pi\)
\(618\) 23.1717 9.18477i 0.932101 0.369466i
\(619\) −16.1598 + 27.9895i −0.649516 + 1.12499i 0.333723 + 0.942671i \(0.391695\pi\)
−0.983239 + 0.182323i \(0.941638\pi\)
\(620\) 0.534825 + 2.34322i 0.0214791 + 0.0941061i
\(621\) −41.3190 15.7346i −1.65807 0.631408i
\(622\) −14.0809 + 17.6569i −0.564593 + 0.707977i
\(623\) −32.7205 + 9.10051i −1.31092 + 0.364604i
\(624\) 11.2256 + 6.43059i 0.449384 + 0.257429i
\(625\) −13.9396 + 12.9340i −0.557582 + 0.517361i
\(626\) −2.90870 + 7.41123i −0.116255 + 0.296213i
\(627\) −0.174001 + 0.257077i −0.00694895 + 0.0102667i
\(628\) 1.50533 + 3.83551i 0.0600691 + 0.153053i
\(629\) 25.2462 12.1579i 1.00663 0.484769i
\(630\) −4.92057 + 3.20440i −0.196040 + 0.127666i
\(631\) 15.6993 + 7.56039i 0.624980 + 0.300974i 0.719440 0.694554i \(-0.244398\pi\)
−0.0944607 + 0.995529i \(0.530113\pi\)
\(632\) 0.766055 10.2223i 0.0304720 0.406621i
\(633\) −19.4331 + 15.6052i −0.772396 + 0.620250i
\(634\) −7.45643 5.08371i −0.296133 0.201900i
\(635\) 3.28058 8.35879i 0.130186 0.331708i
\(636\) 8.87266 + 7.02675i 0.351824 + 0.278629i
\(637\) −23.4553 1.31141i −0.929333 0.0519601i
\(638\) −1.74552 −0.0691059
\(639\) −7.02448 1.01023i −0.277884 0.0399639i
\(640\) 1.58903 0.765234i 0.0628117 0.0302485i
\(641\) −16.9608 15.7374i −0.669913 0.621589i 0.270057 0.962844i \(-0.412957\pi\)
−0.939971 + 0.341256i \(0.889148\pi\)
\(642\) −4.64825 14.8903i −0.183452 0.587672i
\(643\) 0.942711 + 12.5796i 0.0371769 + 0.496091i 0.984450 + 0.175664i \(0.0562073\pi\)
−0.947273 + 0.320427i \(0.896174\pi\)
\(644\) −14.9794 0.418432i −0.590272 0.0164885i
\(645\) 5.43878 5.90152i 0.214152 0.232372i
\(646\) 0.0963329 + 0.245452i 0.00379017 + 0.00965719i
\(647\) 25.0237 + 12.0508i 0.983781 + 0.473764i 0.855404 0.517961i \(-0.173309\pi\)
0.128377 + 0.991725i \(0.459023\pi\)
\(648\) 22.6841 15.9195i 0.891116 0.625377i
\(649\) −4.77643 20.9269i −0.187491 0.821453i
\(650\) 17.5945 2.65194i 0.690111 0.104018i
\(651\) −17.1030 19.3649i −0.670321 0.758971i
\(652\) 10.1199 + 1.52533i 0.396327 + 0.0597367i
\(653\) 0.474057 + 6.32586i 0.0185513 + 0.247550i 0.998768 + 0.0496227i \(0.0158019\pi\)
−0.980217 + 0.197927i \(0.936579\pi\)
\(654\) 37.3677 2.92744i 1.46119 0.114472i
\(655\) 2.58986 4.48577i 0.101194 0.175273i
\(656\) −13.7265 −0.535929
\(657\) −30.6531 20.5966i −1.19589 0.803551i
\(658\) −19.5495 6.63347i −0.762119 0.258600i
\(659\) −0.149283 0.138515i −0.00581525 0.00539576i 0.677260 0.735744i \(-0.263167\pi\)
−0.683075 + 0.730348i \(0.739358\pi\)
\(660\) −1.22469 + 0.983451i −0.0476710 + 0.0382808i
\(661\) −41.7976 6.29998i −1.62574 0.245041i −0.728003 0.685574i \(-0.759551\pi\)
−0.897736 + 0.440534i \(0.854789\pi\)
\(662\) 8.72800 + 1.31553i 0.339223 + 0.0511297i
\(663\) −12.2791 + 9.86040i −0.476882 + 0.382946i
\(664\) −28.8066 26.7286i −1.11791 1.03727i
\(665\) 0.0484265 + 0.134300i 0.00187790 + 0.00520794i
\(666\) 32.1868 15.7695i 1.24721 0.611054i
\(667\) −6.04444 −0.234042
\(668\) 5.08116 8.80083i 0.196596 0.340514i
\(669\) −32.2594 + 2.52725i −1.24722 + 0.0977090i
\(670\) −0.390005 5.20425i −0.0150672 0.201058i
\(671\) 13.2627 + 1.99903i 0.512001 + 0.0771718i
\(672\) 9.59149 13.3519i 0.370000 0.515061i
\(673\) −21.7849 + 3.28355i −0.839747 + 0.126571i −0.554812 0.831976i \(-0.687210\pi\)
−0.284934 + 0.958547i \(0.591972\pi\)
\(674\) −1.31154 5.74625i −0.0505188 0.221337i
\(675\) 6.79817 22.8601i 0.261662 0.879885i
\(676\) −1.04192 0.501760i −0.0400737 0.0192985i
\(677\) 7.60313 + 19.3725i 0.292212 + 0.744544i 0.999300 + 0.0374183i \(0.0119134\pi\)
−0.707088 + 0.707126i \(0.749991\pi\)
\(678\) 3.75579 4.07533i 0.144240 0.156512i
\(679\) 14.8774 6.65942i 0.570943 0.255565i
\(680\) 0.399264 + 5.32781i 0.0153111 + 0.204312i
\(681\) −8.57011 27.4536i −0.328407 1.05203i
\(682\) 10.1554 + 9.42286i 0.388871 + 0.360820i
\(683\) −7.98355 + 3.84467i −0.305482 + 0.147112i −0.580344 0.814371i \(-0.697082\pi\)
0.274862 + 0.961484i \(0.411368\pi\)
\(684\) −0.0625266 0.156200i −0.00239077 0.00597247i
\(685\) 2.32510 0.0888376
\(686\) 3.37838 21.1251i 0.128987 0.806561i
\(687\) 17.8365 + 14.1257i 0.680504 + 0.538928i
\(688\) 5.88279 14.9891i 0.224279 0.571454i
\(689\) −27.2206 18.5587i −1.03702 0.707029i
\(690\) 8.50132 6.82674i 0.323640 0.259890i
\(691\) 3.46532 46.2415i 0.131827 1.75911i −0.403980 0.914768i \(-0.632373\pi\)
0.535807 0.844341i \(-0.320008\pi\)
\(692\) −12.0712 5.81316i −0.458876 0.220983i
\(693\) 6.49965 15.5829i 0.246901 0.591945i
\(694\) −7.65956 + 3.68865i −0.290753 + 0.140019i
\(695\) −1.56831 3.99599i −0.0594895 0.151577i
\(696\) 2.12361 3.13751i 0.0804952 0.118927i
\(697\) 6.10453 15.5541i 0.231226 0.589153i
\(698\) −13.4059 + 12.4389i −0.507421 + 0.470818i
\(699\) 2.70711 + 1.55077i 0.102392 + 0.0586555i
\(700\) −0.378752 8.07441i −0.0143155 0.305184i
\(701\) −24.1954 + 30.3400i −0.913847 + 1.14593i 0.0750288 + 0.997181i \(0.476095\pi\)
−0.988875 + 0.148746i \(0.952476\pi\)
\(702\) −15.6207 + 12.7185i −0.589566 + 0.480029i
\(703\) −0.193911 0.849578i −0.00731348 0.0320424i
\(704\) −9.14195 + 15.8343i −0.344550 + 0.596778i
\(705\) −6.96571 + 2.76106i −0.262344 + 0.103988i
\(706\) −15.6020 + 14.4765i −0.587189 + 0.544832i
\(707\) 0.709804 0.840787i 0.0266949 0.0316211i
\(708\) 10.8441 + 4.21372i 0.407545 + 0.158361i
\(709\) −32.9131 30.5389i −1.23608 1.14691i −0.983802 0.179257i \(-0.942631\pi\)
−0.252276 0.967655i \(-0.581179\pi\)
\(710\) 1.09114 1.36825i 0.0409499 0.0513496i
\(711\) 9.02735 + 4.27236i 0.338552 + 0.160226i
\(712\) −8.79547 + 38.5355i −0.329624 + 1.44418i
\(713\) 35.1665 + 32.6297i 1.31699 + 1.22199i
\(714\) −7.78560 12.0442i −0.291369 0.450742i
\(715\) 3.35151 3.10975i 0.125340 0.116298i
\(716\) 2.70027 + 4.67700i 0.100914 + 0.174788i
\(717\) 18.9573 + 15.0133i 0.707972 + 0.560682i
\(718\) −9.94619 3.06799i −0.371188 0.114496i
\(719\) −23.4189 11.2780i −0.873379 0.420597i −0.0571770 0.998364i \(-0.518210\pi\)
−0.816202 + 0.577767i \(0.803924\pi\)
\(720\) 0.348393 + 4.26193i 0.0129838 + 0.158833i
\(721\) 11.1805 + 31.0067i 0.416384 + 1.15475i
\(722\) −21.6945 + 3.26992i −0.807385 + 0.121694i
\(723\) 0.600308 0.0470291i 0.0223257 0.00174903i
\(724\) 3.09119 7.87623i 0.114883 0.292718i
\(725\) −0.243655 3.25135i −0.00904912 0.120752i
\(726\) 3.77668 12.3924i 0.140166 0.459923i
\(727\) −1.67851 + 22.3981i −0.0622524 + 0.830701i 0.875460 + 0.483290i \(0.160558\pi\)
−0.937713 + 0.347411i \(0.887061\pi\)
\(728\) −14.3261 + 23.2867i −0.530961 + 0.863062i
\(729\) 6.54094 + 26.1957i 0.242257 + 0.970212i
\(730\) 8.20510 3.95137i 0.303684 0.146247i
\(731\) 14.3686 + 13.3321i 0.531442 + 0.493106i
\(732\) −4.92648 + 5.34563i −0.182088 + 0.197580i
\(733\) −3.35598 + 8.55088i −0.123956 + 0.315834i −0.979359 0.202128i \(-0.935214\pi\)
0.855403 + 0.517963i \(0.173309\pi\)
\(734\) 11.8846 + 20.5848i 0.438670 + 0.759799i
\(735\) −4.03163 6.63626i −0.148709 0.244782i
\(736\) −15.2627 + 26.4359i −0.562592 + 0.974439i
\(737\) 9.35613 + 11.7322i 0.344638 + 0.432162i
\(738\) 7.67364 19.9478i 0.282470 0.734289i
\(739\) 8.31674 36.4380i 0.305936 1.34039i −0.555071 0.831803i \(-0.687309\pi\)
0.861008 0.508592i \(-0.169834\pi\)
\(740\) 0.329499 4.39686i 0.0121126 0.161632i
\(741\) 0.213985 + 0.440527i 0.00786094 + 0.0161832i
\(742\) 19.3539 22.9253i 0.710503 0.841616i
\(743\) 42.8167 + 29.1919i 1.57079 + 1.07095i 0.960317 + 0.278910i \(0.0899732\pi\)
0.610473 + 0.792037i \(0.290979\pi\)
\(744\) −29.2923 + 6.79009i −1.07391 + 0.248937i
\(745\) −7.94026 + 5.41357i −0.290908 + 0.198338i
\(746\) 12.4138 + 15.5665i 0.454503 + 0.569929i
\(747\) 34.3814 16.8446i 1.25795 0.616313i
\(748\) −2.39181 2.99923i −0.0874532 0.109663i
\(749\) 19.8732 5.52730i 0.726150 0.201963i
\(750\) 8.38848 + 8.97953i 0.306304 + 0.327886i
\(751\) 2.48546 + 33.1661i 0.0906956 + 1.21025i 0.837964 + 0.545726i \(0.183746\pi\)
−0.747268 + 0.664523i \(0.768635\pi\)
\(752\) −11.0205 + 10.2256i −0.401877 + 0.372888i
\(753\) 16.3691 6.48836i 0.596522 0.236449i
\(754\) −1.37692 + 2.38490i −0.0501445 + 0.0868529i
\(755\) 1.34277 + 5.88307i 0.0488685 + 0.214107i
\(756\) 5.01975 + 7.65144i 0.182566 + 0.278280i
\(757\) −2.93435 + 12.8562i −0.106651 + 0.467267i 0.893194 + 0.449671i \(0.148459\pi\)
−0.999845 + 0.0175966i \(0.994399\pi\)
\(758\) −15.0012 13.9191i −0.544869 0.505565i
\(759\) −9.13928 + 29.9885i −0.331735 + 1.08851i
\(760\) 0.164297 + 0.0247639i 0.00595970 + 0.000898280i
\(761\) 46.1569 14.2375i 1.67319 0.516110i 0.694157 0.719824i \(-0.255777\pi\)
0.979030 + 0.203714i \(0.0653012\pi\)
\(762\) 26.1478 + 10.1603i 0.947234 + 0.368070i
\(763\) 2.32244 + 49.5108i 0.0840778 + 1.79241i
\(764\) 2.29998 + 10.0769i 0.0832105 + 0.364569i
\(765\) −4.98433 1.50062i −0.180209 0.0542549i
\(766\) 30.2628 1.09344
\(767\) −32.3601 9.98178i −1.16846 0.360421i
\(768\) −10.6022 21.8265i −0.382572 0.787595i
\(769\) −15.5513 2.34398i −0.560794 0.0845261i −0.137472 0.990506i \(-0.543898\pi\)
−0.423322 + 0.905980i \(0.639136\pi\)
\(770\) 2.50406 + 3.32646i 0.0902402 + 0.119877i
\(771\) 0.00255032 + 0.754078i 9.18474e−5 + 0.0271575i
\(772\) 4.24166 + 1.30838i 0.152661 + 0.0470896i