Properties

Label 483.2.bf.a.61.6
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.6
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.77098 - 1.39272i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.725202 + 2.98932i) q^{4} +(3.88437 - 0.748650i) q^{5} +(0.634745 + 2.16174i) q^{6} +(-2.37464 + 1.16666i) q^{7} +(1.00709 - 2.20523i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(-1.77098 - 1.39272i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.725202 + 2.98932i) q^{4} +(3.88437 - 0.748650i) q^{5} +(0.634745 + 2.16174i) q^{6} +(-2.37464 + 1.16666i) q^{7} +(1.00709 - 2.20523i) q^{8} +(0.327068 + 0.945001i) q^{9} +(-7.92180 - 4.08397i) q^{10} +(-0.933342 - 1.18684i) q^{11} +(1.14325 - 2.85569i) q^{12} +(-0.906738 - 1.41091i) q^{13} +(5.83027 + 1.24105i) q^{14} +(-3.59837 - 1.64332i) q^{15} +(0.613376 - 0.316217i) q^{16} +(3.97712 + 3.79218i) q^{17} +(0.736886 - 2.12909i) q^{18} +(4.08115 - 3.89137i) q^{19} +(5.05491 + 11.0687i) q^{20} +(2.61105 + 0.427087i) q^{21} +3.40175i q^{22} +(3.85381 - 2.85450i) q^{23} +(-2.09951 + 1.21215i) q^{24} +(9.88599 - 3.95775i) q^{25} +(-0.359182 + 3.76153i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-5.20963 - 6.25249i) q^{28} +(-0.560201 + 0.164490i) q^{29} +(4.08397 + 7.92180i) q^{30} +(-0.900662 - 9.43216i) q^{31} +(-6.28767 - 1.21185i) q^{32} +(0.0718427 + 1.50816i) q^{33} +(-1.76199 - 12.2549i) q^{34} +(-8.35053 + 6.30952i) q^{35} +(-2.58772 + 1.66303i) q^{36} +(-6.81138 + 2.35744i) q^{37} +(-12.6472 + 1.20766i) q^{38} +(-0.0798022 + 1.67525i) q^{39} +(2.26098 - 9.31987i) q^{40} +(4.74445 - 4.11109i) q^{41} +(-4.02932 - 4.39282i) q^{42} +(-5.34576 + 2.44133i) q^{43} +(2.87099 - 3.65076i) q^{44} +(1.97793 + 3.42587i) q^{45} +(-10.8005 - 0.311985i) q^{46} +(2.89696 + 1.67256i) q^{47} +(-0.683066 - 0.0982100i) q^{48} +(4.27779 - 5.54080i) q^{49} +(-23.0199 - 6.75926i) q^{50} +(-1.03999 - 5.39598i) q^{51} +(3.56010 - 3.73373i) q^{52} +(6.96489 + 0.331779i) q^{53} +(-1.83524 + 1.30687i) q^{54} +(-4.51397 - 3.91138i) q^{55} +(0.181279 + 6.41155i) q^{56} +(-5.58162 + 0.802516i) q^{57} +(1.22119 + 0.488892i) q^{58} +(5.62627 - 10.9134i) q^{59} +(2.30287 - 11.9484i) q^{60} +(3.21666 + 4.51717i) q^{61} +(-11.5413 + 17.9585i) q^{62} +(-1.87917 - 1.86245i) q^{63} +(8.54376 + 9.86003i) q^{64} +(-4.57838 - 4.80167i) q^{65} +(1.97321 - 2.77099i) q^{66} +(-3.33665 - 8.33456i) q^{67} +(-8.45184 + 14.6390i) q^{68} +(-4.79499 + 0.0897816i) q^{69} +(23.5760 + 0.455866i) q^{70} +(-1.14357 + 7.95374i) q^{71} +(2.41333 + 0.230445i) q^{72} +(-8.99029 + 2.18102i) q^{73} +(15.3461 + 5.31133i) q^{74} +(-10.3486 - 2.51055i) q^{75} +(14.5922 + 9.37785i) q^{76} +(3.60099 + 1.72942i) q^{77} +(2.47448 - 2.85570i) q^{78} +(-8.90547 + 0.424220i) q^{79} +(2.14584 - 1.68751i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(-14.1279 + 0.672995i) q^{82} +(2.70766 - 3.12480i) q^{83} +(0.616839 + 8.11501i) q^{84} +(18.2876 + 11.7527i) q^{85} +(12.8673 + 3.12158i) q^{86} +(0.551740 + 0.190959i) q^{87} +(-3.55722 + 0.862971i) q^{88} +(-7.15372 - 0.683097i) q^{89} +(1.26839 - 8.82184i) q^{90} +(3.79923 + 2.29254i) q^{91} +(11.3278 + 9.45018i) q^{92} +(-4.73753 + 8.20564i) q^{93} +(-2.80106 - 6.99670i) q^{94} +(12.9394 - 18.1709i) q^{95} +(4.41884 + 4.63435i) q^{96} +(6.38537 + 7.36911i) q^{97} +(-15.2927 + 3.85492i) q^{98} +(0.816299 - 1.27019i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.77098 1.39272i −1.25227 0.984799i −0.999852 0.0171809i \(-0.994531\pi\)
−0.252421 0.967618i \(-0.581227\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) 0.725202 + 2.98932i 0.362601 + 1.49466i
\(5\) 3.88437 0.748650i 1.73714 0.334807i 0.780298 0.625408i \(-0.215068\pi\)
0.956844 + 0.290602i \(0.0938554\pi\)
\(6\) 0.634745 + 2.16174i 0.259134 + 0.882528i
\(7\) −2.37464 + 1.16666i −0.897528 + 0.440958i
\(8\) 1.00709 2.20523i 0.356061 0.779665i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) −7.92180 4.08397i −2.50509 1.29147i
\(11\) −0.933342 1.18684i −0.281413 0.357846i 0.624712 0.780855i \(-0.285216\pi\)
−0.906125 + 0.423009i \(0.860974\pi\)
\(12\) 1.14325 2.85569i 0.330027 0.824367i
\(13\) −0.906738 1.41091i −0.251484 0.391316i 0.692442 0.721473i \(-0.256535\pi\)
−0.943926 + 0.330157i \(0.892898\pi\)
\(14\) 5.83027 + 1.24105i 1.55820 + 0.331685i
\(15\) −3.59837 1.64332i −0.929096 0.424304i
\(16\) 0.613376 0.316217i 0.153344 0.0790543i
\(17\) 3.97712 + 3.79218i 0.964594 + 0.919739i 0.996816 0.0797420i \(-0.0254096\pi\)
−0.0322213 + 0.999481i \(0.510258\pi\)
\(18\) 0.736886 2.12909i 0.173686 0.501832i
\(19\) 4.08115 3.89137i 0.936280 0.892742i −0.0581317 0.998309i \(-0.518514\pi\)
0.994412 + 0.105567i \(0.0336658\pi\)
\(20\) 5.05491 + 11.0687i 1.13031 + 2.47504i
\(21\) 2.61105 + 0.427087i 0.569778 + 0.0931981i
\(22\) 3.40175i 0.725256i
\(23\) 3.85381 2.85450i 0.803574 0.595205i
\(24\) −2.09951 + 1.21215i −0.428561 + 0.247430i
\(25\) 9.88599 3.95775i 1.97720 0.791551i
\(26\) −0.359182 + 3.76153i −0.0704414 + 0.737696i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −5.20963 6.25249i −0.984527 1.18161i
\(29\) −0.560201 + 0.164490i −0.104027 + 0.0305450i −0.333332 0.942810i \(-0.608173\pi\)
0.229305 + 0.973355i \(0.426355\pi\)
\(30\) 4.08397 + 7.92180i 0.745628 + 1.44632i
\(31\) −0.900662 9.43216i −0.161764 1.69407i −0.603854 0.797095i \(-0.706369\pi\)
0.442091 0.896970i \(-0.354237\pi\)
\(32\) −6.28767 1.21185i −1.11151 0.214227i
\(33\) 0.0718427 + 1.50816i 0.0125062 + 0.262538i
\(34\) −1.76199 12.2549i −0.302178 2.10170i
\(35\) −8.35053 + 6.30952i −1.41150 + 1.06650i
\(36\) −2.58772 + 1.66303i −0.431287 + 0.277171i
\(37\) −6.81138 + 2.35744i −1.11978 + 0.387561i −0.823373 0.567500i \(-0.807911\pi\)
−0.296410 + 0.955061i \(0.595790\pi\)
\(38\) −12.6472 + 1.20766i −2.05165 + 0.195909i
\(39\) −0.0798022 + 1.67525i −0.0127786 + 0.268255i
\(40\) 2.26098 9.31987i 0.357492 1.47360i
\(41\) 4.74445 4.11109i 0.740958 0.642044i −0.200299 0.979735i \(-0.564191\pi\)
0.941257 + 0.337691i \(0.109646\pi\)
\(42\) −4.02932 4.39282i −0.621737 0.677826i
\(43\) −5.34576 + 2.44133i −0.815221 + 0.372299i −0.778984 0.627044i \(-0.784264\pi\)
−0.0362373 + 0.999343i \(0.511537\pi\)
\(44\) 2.87099 3.65076i 0.432818 0.550373i
\(45\) 1.97793 + 3.42587i 0.294852 + 0.510699i
\(46\) −10.8005 0.311985i −1.59245 0.0459997i
\(47\) 2.89696 + 1.67256i 0.422564 + 0.243968i 0.696174 0.717873i \(-0.254884\pi\)
−0.273610 + 0.961841i \(0.588218\pi\)
\(48\) −0.683066 0.0982100i −0.0985920 0.0141754i
\(49\) 4.27779 5.54080i 0.611113 0.791544i
\(50\) −23.0199 6.75926i −3.25551 0.955904i
\(51\) −1.03999 5.39598i −0.145628 0.755588i
\(52\) 3.56010 3.73373i 0.493698 0.517775i
\(53\) 6.96489 + 0.331779i 0.956701 + 0.0455733i 0.520121 0.854092i \(-0.325887\pi\)
0.436580 + 0.899666i \(0.356190\pi\)
\(54\) −1.83524 + 1.30687i −0.249745 + 0.177843i
\(55\) −4.51397 3.91138i −0.608664 0.527410i
\(56\) 0.181279 + 6.41155i 0.0242244 + 0.856779i
\(57\) −5.58162 + 0.802516i −0.739304 + 0.106296i
\(58\) 1.22119 + 0.488892i 0.160351 + 0.0641947i
\(59\) 5.62627 10.9134i 0.732478 1.42081i −0.167946 0.985796i \(-0.553713\pi\)
0.900424 0.435014i \(-0.143256\pi\)
\(60\) 2.30287 11.9484i 0.297300 1.54254i
\(61\) 3.21666 + 4.51717i 0.411851 + 0.578364i 0.967442 0.253091i \(-0.0814474\pi\)
−0.555591 + 0.831456i \(0.687508\pi\)
\(62\) −11.5413 + 17.9585i −1.46574 + 2.28074i
\(63\) −1.87917 1.86245i −0.236753 0.234647i
\(64\) 8.54376 + 9.86003i 1.06797 + 1.23250i
\(65\) −4.57838 4.80167i −0.567878 0.595574i
\(66\) 1.97321 2.77099i 0.242885 0.341085i
\(67\) −3.33665 8.33456i −0.407637 1.01823i −0.980137 0.198324i \(-0.936450\pi\)
0.572499 0.819905i \(-0.305974\pi\)
\(68\) −8.45184 + 14.6390i −1.02494 + 1.77524i
\(69\) −4.79499 + 0.0897816i −0.577249 + 0.0108084i
\(70\) 23.5760 + 0.455866i 2.81787 + 0.0544864i
\(71\) −1.14357 + 7.95374i −0.135717 + 0.943935i 0.802195 + 0.597062i \(0.203666\pi\)
−0.937912 + 0.346873i \(0.887244\pi\)
\(72\) 2.41333 + 0.230445i 0.284414 + 0.0271582i
\(73\) −8.99029 + 2.18102i −1.05223 + 0.255269i −0.724338 0.689445i \(-0.757855\pi\)
−0.327896 + 0.944714i \(0.606340\pi\)
\(74\) 15.3461 + 5.31133i 1.78394 + 0.617429i
\(75\) −10.3486 2.51055i −1.19496 0.289893i
\(76\) 14.5922 + 9.37785i 1.67384 + 1.07571i
\(77\) 3.60099 + 1.72942i 0.410371 + 0.197085i
\(78\) 2.47448 2.85570i 0.280180 0.323345i
\(79\) −8.90547 + 0.424220i −1.00194 + 0.0477285i −0.542137 0.840290i \(-0.682385\pi\)
−0.459807 + 0.888019i \(0.652082\pi\)
\(80\) 2.14584 1.68751i 0.239912 0.188669i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) −14.1279 + 0.672995i −1.56017 + 0.0743199i
\(83\) 2.70766 3.12480i 0.297204 0.342992i −0.587432 0.809273i \(-0.699861\pi\)
0.884636 + 0.466282i \(0.154407\pi\)
\(84\) 0.616839 + 8.11501i 0.0673026 + 0.885420i
\(85\) 18.2876 + 11.7527i 1.98357 + 1.27476i
\(86\) 12.8673 + 3.12158i 1.38752 + 0.336608i
\(87\) 0.551740 + 0.190959i 0.0591527 + 0.0204729i
\(88\) −3.55722 + 0.862971i −0.379200 + 0.0919930i
\(89\) −7.15372 0.683097i −0.758293 0.0724082i −0.291255 0.956646i \(-0.594073\pi\)
−0.467038 + 0.884237i \(0.654679\pi\)
\(90\) 1.26839 8.82184i 0.133700 0.929904i
\(91\) 3.79923 + 2.29254i 0.398268 + 0.240324i
\(92\) 11.3278 + 9.45018i 1.18101 + 0.985250i
\(93\) −4.73753 + 8.20564i −0.491259 + 0.850885i
\(94\) −2.80106 6.99670i −0.288907 0.721655i
\(95\) 12.9394 18.1709i 1.32756 1.86429i
\(96\) 4.41884 + 4.63435i 0.450996 + 0.472991i
\(97\) 6.38537 + 7.36911i 0.648336 + 0.748220i 0.980826 0.194887i \(-0.0624340\pi\)
−0.332489 + 0.943107i \(0.607889\pi\)
\(98\) −15.2927 + 3.85492i −1.54479 + 0.389406i
\(99\) 0.816299 1.27019i 0.0820412 0.127659i
\(100\) 19.0004 + 26.6823i 1.90004 + 2.66823i
\(101\) −1.33024 + 6.90197i −0.132364 + 0.686771i 0.853747 + 0.520688i \(0.174324\pi\)
−0.986112 + 0.166084i \(0.946888\pi\)
\(102\) −5.67326 + 11.0046i −0.561736 + 1.08962i
\(103\) −7.03441 2.81615i −0.693121 0.277484i −0.00176552 0.999998i \(-0.500562\pi\)
−0.691356 + 0.722515i \(0.742986\pi\)
\(104\) −4.02455 + 0.578643i −0.394640 + 0.0567406i
\(105\) 10.4620 0.295802i 1.02099 0.0288673i
\(106\) −11.8726 10.2877i −1.15317 0.999228i
\(107\) 7.35736 5.23915i 0.711263 0.506488i −0.166224 0.986088i \(-0.553158\pi\)
0.877487 + 0.479600i \(0.159218\pi\)
\(108\) 3.07255 + 0.146364i 0.295656 + 0.0140838i
\(109\) 5.86059 6.14641i 0.561343 0.588720i −0.380497 0.924782i \(-0.624247\pi\)
0.941840 + 0.336063i \(0.109095\pi\)
\(110\) 2.54672 + 13.2137i 0.242821 + 1.25987i
\(111\) 6.91583 + 2.03067i 0.656422 + 0.192743i
\(112\) −1.08763 + 1.46650i −0.102771 + 0.138572i
\(113\) −2.59894 0.373671i −0.244488 0.0351520i 0.0189815 0.999820i \(-0.493958\pi\)
−0.263469 + 0.964668i \(0.584867\pi\)
\(114\) 11.0026 + 6.35237i 1.03049 + 0.594954i
\(115\) 12.8326 13.9731i 1.19664 1.30300i
\(116\) −0.897972 1.55533i −0.0833746 0.144409i
\(117\) 1.03675 1.31833i 0.0958474 0.121880i
\(118\) −25.1634 + 11.4917i −2.31647 + 1.05790i
\(119\) −13.8684 4.36508i −1.27132 0.400146i
\(120\) −7.24779 + 6.28025i −0.661630 + 0.573306i
\(121\) 2.05588 8.47447i 0.186899 0.770406i
\(122\) 0.594482 12.4797i 0.0538219 1.12986i
\(123\) −6.24938 + 0.596743i −0.563488 + 0.0538065i
\(124\) 27.5426 9.53259i 2.47340 0.856052i
\(125\) 18.7985 12.0810i 1.68139 1.08056i
\(126\) 0.734100 + 5.91552i 0.0653988 + 0.526996i
\(127\) 2.04060 + 14.1927i 0.181074 + 1.25940i 0.854230 + 0.519895i \(0.174029\pi\)
−0.673156 + 0.739500i \(0.735062\pi\)
\(128\) −0.789264 16.5687i −0.0697617 1.46448i
\(129\) 5.77064 + 1.11220i 0.508076 + 0.0979237i
\(130\) 1.42087 + 14.8801i 0.124619 + 1.30507i
\(131\) 7.87418 + 15.2738i 0.687970 + 1.33448i 0.931201 + 0.364507i \(0.118762\pi\)
−0.243231 + 0.969968i \(0.578207\pi\)
\(132\) −4.45629 + 1.30848i −0.387870 + 0.113889i
\(133\) −5.15133 + 14.0019i −0.446677 + 1.21412i
\(134\) −5.69852 + 19.4074i −0.492277 + 1.67654i
\(135\) 0.376028 3.93794i 0.0323633 0.338924i
\(136\) 12.3680 4.95138i 1.06054 0.424577i
\(137\) 10.9104 6.29914i 0.932141 0.538172i 0.0446528 0.999003i \(-0.485782\pi\)
0.887488 + 0.460831i \(0.152449\pi\)
\(138\) 8.61688 + 6.51906i 0.733518 + 0.554939i
\(139\) 14.3528i 1.21738i 0.793406 + 0.608692i \(0.208306\pi\)
−0.793406 + 0.608692i \(0.791694\pi\)
\(140\) −24.9170 20.3868i −2.10587 1.72300i
\(141\) −1.38961 3.04282i −0.117026 0.256252i
\(142\) 13.1025 12.4933i 1.09954 1.04841i
\(143\) −0.828231 + 2.39302i −0.0692602 + 0.200114i
\(144\) 0.499441 + 0.476216i 0.0416201 + 0.0396847i
\(145\) −2.05288 + 1.05833i −0.170482 + 0.0878898i
\(146\) 18.9592 + 8.65837i 1.56907 + 0.716572i
\(147\) −6.69857 + 2.03204i −0.552488 + 0.167600i
\(148\) −11.9868 18.6518i −0.985307 1.53317i
\(149\) 0.424691 1.06083i 0.0347921 0.0869064i −0.909954 0.414708i \(-0.863884\pi\)
0.944746 + 0.327802i \(0.106308\pi\)
\(150\) 14.8307 + 18.8588i 1.21092 + 1.53982i
\(151\) 3.70663 + 1.91090i 0.301641 + 0.155507i 0.602402 0.798193i \(-0.294210\pi\)
−0.300761 + 0.953700i \(0.597241\pi\)
\(152\) −4.47125 12.9188i −0.362667 1.04786i
\(153\) −2.28282 + 4.99869i −0.184555 + 0.404120i
\(154\) −3.96870 8.07792i −0.319807 0.650938i
\(155\) −10.5599 35.9637i −0.848191 2.88867i
\(156\) −5.06575 + 0.976343i −0.405585 + 0.0781700i
\(157\) 1.43764 + 5.92602i 0.114736 + 0.472948i 0.999970 + 0.00780118i \(0.00248322\pi\)
−0.885234 + 0.465147i \(0.846002\pi\)
\(158\) 16.3622 + 11.6515i 1.30171 + 0.926944i
\(159\) −5.48098 4.31029i −0.434670 0.341828i
\(160\) −25.3309 −2.00258
\(161\) −5.82114 + 11.2745i −0.458770 + 0.888555i
\(162\) 2.25301 0.177013
\(163\) 0.721247 + 0.567195i 0.0564924 + 0.0444261i 0.646006 0.763332i \(-0.276438\pi\)
−0.589514 + 0.807758i \(0.700681\pi\)
\(164\) 15.7301 + 11.2013i 1.22831 + 0.874676i
\(165\) 1.40815 + 5.80447i 0.109624 + 0.451878i
\(166\) −9.14718 + 1.76297i −0.709958 + 0.136833i
\(167\) 1.53607 + 5.23137i 0.118865 + 0.404816i 0.997333 0.0729845i \(-0.0232524\pi\)
−0.878468 + 0.477800i \(0.841434\pi\)
\(168\) 3.57140 5.32785i 0.275539 0.411052i
\(169\) 4.23190 9.26656i 0.325531 0.712812i
\(170\) −16.0188 46.2834i −1.22859 3.54977i
\(171\) 5.01216 + 2.58395i 0.383290 + 0.197600i
\(172\) −11.1747 14.2098i −0.852061 1.08348i
\(173\) 4.96803 12.4095i 0.377712 0.943480i −0.610724 0.791843i \(-0.709122\pi\)
0.988436 0.151636i \(-0.0484542\pi\)
\(174\) −0.711169 1.10660i −0.0539136 0.0838912i
\(175\) −18.8583 + 20.9319i −1.42555 + 1.58230i
\(176\) −0.947789 0.432841i −0.0714423 0.0326266i
\(177\) −10.9134 + 5.62627i −0.820305 + 0.422897i
\(178\) 11.7177 + 11.1728i 0.878282 + 0.837440i
\(179\) −4.09269 + 11.8251i −0.305902 + 0.883846i 0.682352 + 0.731024i \(0.260957\pi\)
−0.988254 + 0.152822i \(0.951164\pi\)
\(180\) −8.80664 + 8.39711i −0.656408 + 0.625884i
\(181\) −0.250119 0.547684i −0.0185912 0.0407090i 0.900109 0.435666i \(-0.143487\pi\)
−0.918700 + 0.394956i \(0.870760\pi\)
\(182\) −3.53551 9.35130i −0.262070 0.693165i
\(183\) 5.54542i 0.409930i
\(184\) −2.41368 11.3733i −0.177939 0.838448i
\(185\) −24.6930 + 14.2565i −1.81547 + 1.04816i
\(186\) 19.8182 7.93401i 1.45314 0.581750i
\(187\) 0.788697 8.25961i 0.0576753 0.604003i
\(188\) −2.89894 + 9.87288i −0.211427 + 0.720054i
\(189\) 0.450394 + 2.60713i 0.0327613 + 0.189641i
\(190\) −48.2223 + 14.1594i −3.49841 + 1.02723i
\(191\) −0.836249 1.62210i −0.0605089 0.117371i 0.856642 0.515912i \(-0.172547\pi\)
−0.917150 + 0.398541i \(0.869517\pi\)
\(192\) −1.24017 12.9876i −0.0895013 0.937300i
\(193\) −3.88972 0.749683i −0.279988 0.0539634i 0.0473237 0.998880i \(-0.484931\pi\)
−0.327312 + 0.944916i \(0.606143\pi\)
\(194\) −1.04530 21.9436i −0.0750483 1.57546i
\(195\) 0.944199 + 6.56705i 0.0676155 + 0.470276i
\(196\) 19.6655 + 8.76950i 1.40468 + 0.626393i
\(197\) 5.06910 3.25771i 0.361158 0.232102i −0.347459 0.937695i \(-0.612955\pi\)
0.708618 + 0.705593i \(0.249319\pi\)
\(198\) −3.21466 + 1.11260i −0.228456 + 0.0790693i
\(199\) −17.6801 + 1.68824i −1.25331 + 0.119676i −0.700512 0.713640i \(-0.747045\pi\)
−0.552796 + 0.833317i \(0.686439\pi\)
\(200\) 1.22837 25.7867i 0.0868590 1.82339i
\(201\) −2.11656 + 8.72458i −0.149291 + 0.615385i
\(202\) 11.9683 10.3706i 0.842088 0.729673i
\(203\) 1.13837 1.04417i 0.0798978 0.0732863i
\(204\) 15.3761 7.02204i 1.07654 0.491641i
\(205\) 15.3514 19.5209i 1.07219 1.36340i
\(206\) 8.53571 + 14.7843i 0.594711 + 1.03007i
\(207\) 3.95796 + 2.70823i 0.275097 + 0.188235i
\(208\) −1.00233 0.578693i −0.0694988 0.0401252i
\(209\) −8.42755 1.21170i −0.582946 0.0838149i
\(210\) −18.9400 14.0468i −1.30699 0.969319i
\(211\) 27.0525 + 7.94333i 1.86237 + 0.546842i 0.999114 + 0.0420771i \(0.0133975\pi\)
0.863257 + 0.504765i \(0.168421\pi\)
\(212\) 4.05916 + 21.0609i 0.278784 + 1.44647i
\(213\) 5.54515 5.81559i 0.379947 0.398477i
\(214\) −20.3264 0.968266i −1.38948 0.0661893i
\(215\) −18.9372 + 13.4851i −1.29151 + 0.919677i
\(216\) −1.83217 1.58758i −0.124663 0.108021i
\(217\) 13.1429 + 21.3472i 0.892198 + 1.44914i
\(218\) −18.9392 + 2.72305i −1.28273 + 0.184428i
\(219\) 8.58839 + 3.43827i 0.580350 + 0.232337i
\(220\) 8.41883 16.3303i 0.567598 1.10099i
\(221\) 1.74422 9.04988i 0.117329 0.608761i
\(222\) −9.41967 13.2281i −0.632207 0.887810i
\(223\) −11.6675 + 18.1550i −0.781313 + 1.21575i 0.190891 + 0.981611i \(0.438862\pi\)
−0.972204 + 0.234135i \(0.924774\pi\)
\(224\) 16.3447 4.45790i 1.09208 0.297856i
\(225\) 6.97347 + 8.04782i 0.464898 + 0.536521i
\(226\) 4.08226 + 4.28135i 0.271548 + 0.284791i
\(227\) −14.7361 + 20.6940i −0.978072 + 1.37351i −0.0509706 + 0.998700i \(0.516231\pi\)
−0.927102 + 0.374810i \(0.877708\pi\)
\(228\) −6.44679 16.1033i −0.426949 1.06647i
\(229\) −0.508507 + 0.880760i −0.0336031 + 0.0582023i −0.882338 0.470616i \(-0.844032\pi\)
0.848735 + 0.528819i \(0.177365\pi\)
\(230\) −42.1868 + 6.87396i −2.78171 + 0.453255i
\(231\) −1.93012 3.49752i −0.126993 0.230120i
\(232\) −0.201437 + 1.40103i −0.0132250 + 0.0919819i
\(233\) −0.0496053 0.00473673i −0.00324975 0.000310314i 0.0934310 0.995626i \(-0.470217\pi\)
−0.0966808 + 0.995315i \(0.530823\pi\)
\(234\) −3.67212 + 0.890847i −0.240054 + 0.0582365i
\(235\) 12.5050 + 4.32802i 0.815736 + 0.282329i
\(236\) 36.7040 + 8.90430i 2.38923 + 0.579620i
\(237\) 7.50026 + 4.82012i 0.487194 + 0.313101i
\(238\) 18.4814 + 27.0452i 1.19797 + 1.75308i
\(239\) 9.09202 10.4928i 0.588114 0.678720i −0.381215 0.924486i \(-0.624494\pi\)
0.969329 + 0.245767i \(0.0790397\pi\)
\(240\) −2.72680 + 0.129894i −0.176014 + 0.00838460i
\(241\) −12.7865 + 10.0554i −0.823653 + 0.647728i −0.938355 0.345672i \(-0.887651\pi\)
0.114702 + 0.993400i \(0.463409\pi\)
\(242\) −15.4435 + 12.1449i −0.992743 + 0.780702i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) −11.1706 + 12.8915i −0.715121 + 0.825294i
\(245\) 12.4684 24.7251i 0.796576 1.57963i
\(246\) 11.8986 + 7.64678i 0.758629 + 0.487541i
\(247\) −9.19092 2.22969i −0.584804 0.141872i
\(248\) −21.7071 7.51290i −1.37840 0.477069i
\(249\) −4.01816 + 0.974794i −0.254640 + 0.0617751i
\(250\) −50.1172 4.78561i −3.16969 0.302669i
\(251\) −2.17343 + 15.1166i −0.137186 + 0.954149i 0.798671 + 0.601768i \(0.205537\pi\)
−0.935857 + 0.352381i \(0.885372\pi\)
\(252\) 4.20470 6.96809i 0.264871 0.438948i
\(253\) −6.98476 1.90963i −0.439128 0.120057i
\(254\) 16.1525 27.9769i 1.01350 1.75543i
\(255\) −8.07940 20.1814i −0.505952 1.26381i
\(256\) −6.54206 + 9.18703i −0.408878 + 0.574190i
\(257\) −14.5883 15.2998i −0.909996 0.954376i 0.0891367 0.996019i \(-0.471589\pi\)
−0.999133 + 0.0416433i \(0.986741\pi\)
\(258\) −8.67072 10.0065i −0.539815 0.622980i
\(259\) 13.4242 13.5447i 0.834139 0.841624i
\(260\) 11.0335 17.1684i 0.684268 1.06474i
\(261\) −0.338667 0.475591i −0.0209629 0.0294383i
\(262\) 7.32699 38.0161i 0.452663 2.34864i
\(263\) −3.79385 + 7.35904i −0.233939 + 0.453778i −0.976359 0.216157i \(-0.930648\pi\)
0.742420 + 0.669935i \(0.233678\pi\)
\(264\) 3.39819 + 1.36043i 0.209144 + 0.0837288i
\(265\) 27.3026 3.92552i 1.67718 0.241143i
\(266\) 28.6236 17.6228i 1.75503 1.08052i
\(267\) 5.43101 + 4.70600i 0.332372 + 0.288002i
\(268\) 22.4950 16.0186i 1.37410 0.978491i
\(269\) 26.0879 + 1.24272i 1.59061 + 0.0757701i 0.824093 0.566454i \(-0.191685\pi\)
0.766517 + 0.642224i \(0.221988\pi\)
\(270\) −6.15037 + 6.45032i −0.374300 + 0.392554i
\(271\) −3.13460 16.2639i −0.190413 0.987959i −0.943834 0.330420i \(-0.892810\pi\)
0.753421 0.657539i \(-0.228402\pi\)
\(272\) 3.63863 + 1.06840i 0.220624 + 0.0647811i
\(273\) −1.76496 4.07122i −0.106820 0.246402i
\(274\) −28.0951 4.03946i −1.69729 0.244033i
\(275\) −13.9242 8.03916i −0.839663 0.484780i
\(276\) −3.74572 14.2687i −0.225466 0.858873i
\(277\) −9.22410 15.9766i −0.554222 0.959941i −0.997964 0.0637862i \(-0.979682\pi\)
0.443741 0.896155i \(-0.353651\pi\)
\(278\) 19.9893 25.4185i 1.19888 1.52450i
\(279\) 8.61882 3.93608i 0.515995 0.235647i
\(280\) 5.50416 + 24.7691i 0.328937 + 1.48024i
\(281\) −8.43331 + 7.30751i −0.503089 + 0.435929i −0.869067 0.494694i \(-0.835280\pi\)
0.365978 + 0.930624i \(0.380735\pi\)
\(282\) −1.77681 + 7.32412i −0.105808 + 0.436145i
\(283\) 0.257348 5.40240i 0.0152978 0.321140i −0.978228 0.207533i \(-0.933457\pi\)
0.993526 0.113607i \(-0.0362404\pi\)
\(284\) −24.6056 + 2.34955i −1.46008 + 0.139420i
\(285\) −21.0803 + 7.29595i −1.24869 + 0.432175i
\(286\) 4.79957 3.08450i 0.283805 0.182390i
\(287\) −6.47008 + 15.2975i −0.381917 + 0.902984i
\(288\) −0.911297 6.33821i −0.0536987 0.373483i
\(289\) 0.627993 + 13.1832i 0.0369408 + 0.775482i
\(290\) 5.10957 + 0.984789i 0.300044 + 0.0578288i
\(291\) −0.926866 9.70658i −0.0543339 0.569010i
\(292\) −13.0396 25.2932i −0.763083 1.48017i
\(293\) −23.9533 + 7.03332i −1.39937 + 0.410891i −0.892467 0.451114i \(-0.851027\pi\)
−0.506900 + 0.862005i \(0.669209\pi\)
\(294\) 14.6931 + 5.73048i 0.856919 + 0.334209i
\(295\) 13.6842 46.6039i 0.796722 2.71339i
\(296\) −1.66100 + 17.3948i −0.0965438 + 1.01105i
\(297\) −1.40172 + 0.561163i −0.0813359 + 0.0325620i
\(298\) −2.22955 + 1.28723i −0.129154 + 0.0745674i
\(299\) −7.52184 2.84910i −0.434999 0.164767i
\(300\) 32.7560i 1.89117i
\(301\) 9.84603 12.0340i 0.567516 0.693627i
\(302\) −3.90303 8.54645i −0.224594 0.491793i
\(303\) 5.08712 4.85056i 0.292247 0.278657i
\(304\) 1.27276 3.67740i 0.0729979 0.210914i
\(305\) 15.8765 + 15.1382i 0.909084 + 0.866810i
\(306\) 11.0046 5.67326i 0.629090 0.324319i
\(307\) 15.9924 + 7.30350i 0.912737 + 0.416833i 0.815718 0.578450i \(-0.196342\pi\)
0.0970185 + 0.995283i \(0.469069\pi\)
\(308\) −2.55834 + 12.0187i −0.145775 + 0.684829i
\(309\) 4.09653 + 6.37433i 0.233044 + 0.362623i
\(310\) −31.3858 + 78.3979i −1.78259 + 4.45270i
\(311\) 10.1777 + 12.9420i 0.577123 + 0.733871i 0.983714 0.179739i \(-0.0575253\pi\)
−0.406592 + 0.913610i \(0.633283\pi\)
\(312\) 3.61395 + 1.86312i 0.204599 + 0.105478i
\(313\) −2.93243 8.47271i −0.165751 0.478906i 0.831285 0.555847i \(-0.187606\pi\)
−0.997036 + 0.0769409i \(0.975485\pi\)
\(314\) 5.70723 12.4971i 0.322078 0.705251i
\(315\) −8.69370 5.82762i −0.489834 0.328349i
\(316\) −7.72640 26.3137i −0.434644 1.48026i
\(317\) 13.6457 2.62999i 0.766418 0.147715i 0.208965 0.977923i \(-0.432991\pi\)
0.557453 + 0.830208i \(0.311779\pi\)
\(318\) 3.70371 + 15.2669i 0.207694 + 0.856125i
\(319\) 0.718082 + 0.511344i 0.0402049 + 0.0286298i
\(320\) 40.5688 + 31.9037i 2.26787 + 1.78347i
\(321\) −9.03214 −0.504125
\(322\) 26.0113 11.8597i 1.44955 0.660917i
\(323\) 30.9880 1.72422
\(324\) −2.41792 1.90148i −0.134329 0.105638i
\(325\) −14.5480 10.3596i −0.806980 0.574648i
\(326\) −0.487374 2.00898i −0.0269932 0.111267i
\(327\) −8.33917 + 1.60724i −0.461157 + 0.0888807i
\(328\) −4.28778 14.6028i −0.236753 0.806307i
\(329\) −8.83053 0.591942i −0.486843 0.0326348i
\(330\) 5.59017 12.2408i 0.307729 0.673832i
\(331\) 6.42287 + 18.5577i 0.353033 + 1.02002i 0.972076 + 0.234665i \(0.0753993\pi\)
−0.619043 + 0.785357i \(0.712479\pi\)
\(332\) 11.3047 + 5.82795i 0.620423 + 0.319850i
\(333\) −4.45557 5.66571i −0.244164 0.310479i
\(334\) 4.56546 11.4040i 0.249811 0.623998i
\(335\) −19.2005 29.8765i −1.04903 1.63233i
\(336\) 1.73661 0.563695i 0.0947398 0.0307521i
\(337\) 18.7196 + 8.54894i 1.01972 + 0.465690i 0.853884 0.520463i \(-0.174241\pi\)
0.165835 + 0.986153i \(0.446968\pi\)
\(338\) −20.4003 + 10.5171i −1.10963 + 0.572054i
\(339\) 1.90028 + 1.81192i 0.103209 + 0.0984098i
\(340\) −21.8705 + 63.1908i −1.18610 + 3.42700i
\(341\) −10.3538 + 9.87237i −0.560692 + 0.534619i
\(342\) −5.27774 11.5566i −0.285388 0.624912i
\(343\) −3.69393 + 18.1481i −0.199454 + 0.979907i
\(344\) 14.2473i 0.768161i
\(345\) −18.5583 + 3.93852i −0.999145 + 0.212043i
\(346\) −26.0812 + 15.0580i −1.40214 + 0.809524i
\(347\) −27.3530 + 10.9505i −1.46839 + 0.587853i −0.961658 0.274253i \(-0.911570\pi\)
−0.506729 + 0.862106i \(0.669145\pi\)
\(348\) −0.170715 + 1.78781i −0.00915130 + 0.0958368i
\(349\) −6.40887 + 21.8266i −0.343059 + 1.16835i 0.589631 + 0.807673i \(0.299273\pi\)
−0.932690 + 0.360679i \(0.882545\pi\)
\(350\) 62.5498 10.8057i 3.34343 0.577591i
\(351\) −1.60922 + 0.472509i −0.0858937 + 0.0252207i
\(352\) 4.43027 + 8.59353i 0.236134 + 0.458037i
\(353\) −0.968193 10.1394i −0.0515317 0.539665i −0.983970 0.178335i \(-0.942929\pi\)
0.932438 0.361330i \(-0.117677\pi\)
\(354\) 27.1633 + 5.23530i 1.44371 + 0.278253i
\(355\) 1.51250 + 31.7514i 0.0802754 + 1.68519i
\(356\) −3.14589 21.8802i −0.166732 1.15965i
\(357\) 8.76489 + 11.6002i 0.463887 + 0.613946i
\(358\) 23.7170 15.2420i 1.25348 0.805565i
\(359\) −9.62820 + 3.33235i −0.508157 + 0.175875i −0.569103 0.822266i \(-0.692709\pi\)
0.0609460 + 0.998141i \(0.480588\pi\)
\(360\) 9.54678 0.911607i 0.503159 0.0480459i
\(361\) 0.608980 12.7841i 0.0320516 0.672846i
\(362\) −0.319812 + 1.31828i −0.0168089 + 0.0692874i
\(363\) −6.59035 + 5.71057i −0.345904 + 0.299727i
\(364\) −4.09794 + 13.0197i −0.214790 + 0.682417i
\(365\) −33.2888 + 15.2025i −1.74241 + 0.795734i
\(366\) −7.72320 + 9.82085i −0.403698 + 0.513344i
\(367\) 17.5250 + 30.3542i 0.914799 + 1.58448i 0.807195 + 0.590284i \(0.200984\pi\)
0.107604 + 0.994194i \(0.465682\pi\)
\(368\) 1.46119 2.96952i 0.0761698 0.154797i
\(369\) 5.43674 + 3.13890i 0.283025 + 0.163405i
\(370\) 63.5861 + 9.14230i 3.30568 + 0.475286i
\(371\) −16.9261 + 7.33783i −0.878762 + 0.380961i
\(372\) −27.9650 8.21126i −1.44992 0.425734i
\(373\) −5.64548 29.2915i −0.292312 1.51666i −0.769952 0.638102i \(-0.779720\pi\)
0.477640 0.878556i \(-0.341492\pi\)
\(374\) −12.9001 + 13.5292i −0.667046 + 0.699578i
\(375\) −22.3205 1.06326i −1.15262 0.0549063i
\(376\) 6.60587 4.70402i 0.340672 0.242591i
\(377\) 0.740036 + 0.641245i 0.0381138 + 0.0330258i
\(378\) 2.83336 5.24446i 0.145732 0.269746i
\(379\) −8.77705 + 1.26195i −0.450847 + 0.0648220i −0.363998 0.931400i \(-0.618589\pi\)
−0.0868483 + 0.996222i \(0.527680\pi\)
\(380\) 63.7023 + 25.5026i 3.26786 + 1.30825i
\(381\) 6.57033 12.7447i 0.336608 0.652929i
\(382\) −0.778137 + 4.03736i −0.0398130 + 0.206569i
\(383\) 10.6359 + 14.9361i 0.543470 + 0.763197i 0.991399 0.130872i \(-0.0417777\pi\)
−0.447929 + 0.894069i \(0.647838\pi\)
\(384\) −8.96787 + 13.9543i −0.457640 + 0.712101i
\(385\) 15.2823 + 4.02181i 0.778858 + 0.204970i
\(386\) 5.84454 + 6.74495i 0.297479 + 0.343309i
\(387\) −4.05548 4.25327i −0.206152 0.216206i
\(388\) −17.3980 + 24.4320i −0.883249 + 1.24035i
\(389\) 4.62188 + 11.5449i 0.234338 + 0.585349i 0.998196 0.0600354i \(-0.0191214\pi\)
−0.763858 + 0.645385i \(0.776697\pi\)
\(390\) 7.47387 12.9451i 0.378454 0.655502i
\(391\) 26.1518 + 3.26162i 1.32256 + 0.164947i
\(392\) −7.91060 15.0136i −0.399545 0.758301i
\(393\) 2.44554 17.0091i 0.123361 0.857996i
\(394\) −13.5143 1.29046i −0.680843 0.0650126i
\(395\) −34.2745 + 8.31491i −1.72454 + 0.418369i
\(396\) 4.38898 + 1.51904i 0.220555 + 0.0763347i
\(397\) −6.93385 1.68213i −0.348000 0.0844239i 0.0579491 0.998320i \(-0.481544\pi\)
−0.405949 + 0.913896i \(0.633059\pi\)
\(398\) 33.6624 + 21.6335i 1.68734 + 1.08439i
\(399\) 12.3181 8.41757i 0.616674 0.421405i
\(400\) 4.81232 5.55371i 0.240616 0.277686i
\(401\) −23.2119 + 1.10572i −1.15915 + 0.0552170i −0.618327 0.785921i \(-0.712189\pi\)
−0.540821 + 0.841138i \(0.681886\pi\)
\(402\) 15.8993 12.5033i 0.792983 0.623608i
\(403\) −12.4913 + 9.82325i −0.622235 + 0.489331i
\(404\) −21.5969 + 1.02879i −1.07449 + 0.0511841i
\(405\) −2.59053 + 2.98964i −0.128725 + 0.148556i
\(406\) −3.47026 + 0.263782i −0.172226 + 0.0130913i
\(407\) 9.15525 + 5.88372i 0.453809 + 0.291645i
\(408\) −12.9467 3.14084i −0.640958 0.155495i
\(409\) −23.5913 8.16502i −1.16651 0.403734i −0.325919 0.945398i \(-0.605674\pi\)
−0.840595 + 0.541663i \(0.817795\pi\)
\(410\) −54.3741 + 13.1910i −2.68535 + 0.651458i
\(411\) −12.5412 1.19754i −0.618613 0.0590704i
\(412\) 3.31703 23.0704i 0.163418 1.13660i
\(413\) −0.628022 + 32.4794i −0.0309029 + 1.59821i
\(414\) −3.23768 10.3085i −0.159123 0.506638i
\(415\) 8.17815 14.1650i 0.401450 0.695331i
\(416\) 3.99146 + 9.97018i 0.195697 + 0.488828i
\(417\) 8.32541 11.6914i 0.407697 0.572531i
\(418\) 13.2375 + 13.8831i 0.647466 + 0.679043i
\(419\) −1.06207 1.22569i −0.0518855 0.0598791i 0.729214 0.684286i \(-0.239886\pi\)
−0.781099 + 0.624407i \(0.785341\pi\)
\(420\) 8.47133 + 31.0599i 0.413359 + 1.51557i
\(421\) −8.96293 + 13.9466i −0.436826 + 0.679715i −0.987961 0.154701i \(-0.950559\pi\)
0.551135 + 0.834416i \(0.314195\pi\)
\(422\) −36.8467 51.7439i −1.79367 2.51886i
\(423\) −0.633067 + 3.28467i −0.0307808 + 0.159706i
\(424\) 7.74594 15.0250i 0.376176 0.729680i
\(425\) 54.3263 + 21.7490i 2.63521 + 1.05498i
\(426\) −17.9198 + 2.57648i −0.868218 + 0.124831i
\(427\) −12.9084 6.97387i −0.624682 0.337489i
\(428\) 20.9971 + 18.1941i 1.01493 + 0.879445i
\(429\) 2.06274 1.46887i 0.0995902 0.0709178i
\(430\) 52.3184 + 2.49223i 2.52302 + 0.120186i
\(431\) 16.8431 17.6646i 0.811305 0.850872i −0.179834 0.983697i \(-0.557556\pi\)
0.991140 + 0.132825i \(0.0424047\pi\)
\(432\) −0.130600 0.677619i −0.00628351 0.0326020i
\(433\) −27.9190 8.19776i −1.34170 0.393959i −0.469425 0.882972i \(-0.655539\pi\)
−0.872277 + 0.489013i \(0.837357\pi\)
\(434\) 6.45469 56.1098i 0.309835 2.69335i
\(435\) 2.28612 + 0.328695i 0.109611 + 0.0157597i
\(436\) 22.6237 + 13.0618i 1.08348 + 0.625548i
\(437\) 4.62004 26.6462i 0.221007 1.27466i
\(438\) −10.4214 18.0503i −0.497951 0.862477i
\(439\) −23.8954 + 30.3855i −1.14047 + 1.45022i −0.266761 + 0.963763i \(0.585953\pi\)
−0.873705 + 0.486457i \(0.838289\pi\)
\(440\) −13.1715 + 6.01521i −0.627925 + 0.286764i
\(441\) 6.63519 + 2.23030i 0.315962 + 0.106205i
\(442\) −15.6929 + 13.5980i −0.746435 + 0.646790i
\(443\) 2.34731 9.67576i 0.111524 0.459709i −0.888475 0.458924i \(-0.848235\pi\)
1.00000 0.000785012i \(-0.000249877\pi\)
\(444\) −1.05496 + 22.1463i −0.0500661 + 1.05102i
\(445\) −28.2991 + 2.70223i −1.34150 + 0.128098i
\(446\) 45.9476 15.9026i 2.17568 0.753011i
\(447\) −0.961284 + 0.617779i −0.0454672 + 0.0292200i
\(448\) −31.7917 13.4463i −1.50202 0.635277i
\(449\) 0.474680 + 3.30147i 0.0224015 + 0.155806i 0.997952 0.0639704i \(-0.0203763\pi\)
−0.975550 + 0.219776i \(0.929467\pi\)
\(450\) −1.14157 23.9646i −0.0538143 1.12970i
\(451\) −9.30740 1.79385i −0.438268 0.0844693i
\(452\) −0.767733 8.04006i −0.0361111 0.378173i
\(453\) −1.91090 3.70663i −0.0897820 0.174153i
\(454\) 54.9183 16.1255i 2.57744 0.756806i
\(455\) 16.4739 + 6.06078i 0.772310 + 0.284134i
\(456\) −3.85149 + 13.1170i −0.180362 + 0.614258i
\(457\) 0.456373 4.77935i 0.0213482 0.223569i −0.978502 0.206239i \(-0.933877\pi\)
0.999850 0.0173296i \(-0.00551645\pi\)
\(458\) 2.12721 0.851605i 0.0993978 0.0397929i
\(459\) 4.75906 2.74764i 0.222134 0.128249i
\(460\) 51.0763 + 28.2274i 2.38144 + 1.31611i
\(461\) 12.7211i 0.592482i 0.955113 + 0.296241i \(0.0957331\pi\)
−0.955113 + 0.296241i \(0.904267\pi\)
\(462\) −1.45285 + 8.88216i −0.0675925 + 0.413235i
\(463\) −3.65750 8.00881i −0.169978 0.372201i 0.805402 0.592729i \(-0.201949\pi\)
−0.975381 + 0.220528i \(0.929222\pi\)
\(464\) −0.291599 + 0.278039i −0.0135372 + 0.0129077i
\(465\) −12.2591 + 35.4205i −0.568504 + 1.64259i
\(466\) 0.0812532 + 0.0774747i 0.00376398 + 0.00358895i
\(467\) 14.4191 7.43358i 0.667238 0.343985i −0.0911046 0.995841i \(-0.529040\pi\)
0.758343 + 0.651856i \(0.226009\pi\)
\(468\) 4.69277 + 2.14312i 0.216924 + 0.0990656i
\(469\) 17.6470 + 15.8988i 0.814862 + 0.734138i
\(470\) −16.1184 25.0808i −0.743487 1.15689i
\(471\) 2.26636 5.66110i 0.104429 0.260850i
\(472\) −18.4004 23.3981i −0.846949 1.07698i
\(473\) 7.88689 + 4.06597i 0.362640 + 0.186954i
\(474\) −6.56976 18.9821i −0.301759 0.871875i
\(475\) 24.9451 54.6223i 1.14456 2.50624i
\(476\) 2.99122 44.6228i 0.137103 2.04528i
\(477\) 1.96446 + 6.69034i 0.0899465 + 0.306330i
\(478\) −30.7152 + 5.91987i −1.40488 + 0.270769i
\(479\) 1.25890 + 5.18927i 0.0575207 + 0.237104i 0.993314 0.115446i \(-0.0368298\pi\)
−0.935793 + 0.352550i \(0.885315\pi\)
\(480\) 20.6339 + 14.6933i 0.941805 + 0.670657i
\(481\) 9.50228 + 7.47267i 0.433266 + 0.340725i
\(482\) 36.6491 1.66932
\(483\) 11.2816 5.80734i 0.513331 0.264243i
\(484\) 26.8239 1.21927
\(485\) 30.3200 + 23.8439i 1.37676 + 1.08270i
\(486\) −1.83524 1.30687i −0.0832484 0.0592809i
\(487\) −0.420127 1.73179i −0.0190378 0.0784748i 0.961500 0.274804i \(-0.0886130\pi\)
−0.980538 + 0.196329i \(0.937098\pi\)
\(488\) 13.2009 2.54426i 0.597575 0.115173i
\(489\) −0.258505 0.880388i −0.0116900 0.0398125i
\(490\) −56.5163 + 26.4228i −2.55315 + 1.19366i
\(491\) −9.48949 + 20.7791i −0.428255 + 0.937747i 0.565352 + 0.824850i \(0.308740\pi\)
−0.993607 + 0.112898i \(0.963987\pi\)
\(492\) −6.31592 18.2487i −0.284744 0.822713i
\(493\) −2.85176 1.47019i −0.128437 0.0662139i
\(494\) 13.1716 + 16.7491i 0.592619 + 0.753576i
\(495\) 2.21988 5.54499i 0.0997762 0.249229i
\(496\) −3.53506 5.50065i −0.158729 0.246987i
\(497\) −6.56377 20.2214i −0.294425 0.907054i
\(498\) 8.47369 + 3.86981i 0.379715 + 0.173410i
\(499\) −25.2519 + 13.0182i −1.13043 + 0.582776i −0.918859 0.394587i \(-0.870888\pi\)
−0.211569 + 0.977363i \(0.567857\pi\)
\(500\) 49.7468 + 47.4335i 2.22475 + 2.12129i
\(501\) 1.78325 5.15236i 0.0796697 0.230190i
\(502\) 24.9022 23.7442i 1.11144 1.05976i
\(503\) −10.2483 22.4407i −0.456950 1.00058i −0.988172 0.153348i \(-0.950994\pi\)
0.531222 0.847232i \(-0.321733\pi\)
\(504\) −5.99963 + 2.26832i −0.267245 + 0.101039i
\(505\) 27.8057i 1.23734i
\(506\) 9.71031 + 13.1097i 0.431676 + 0.582797i
\(507\) −8.82233 + 5.09358i −0.391814 + 0.226214i
\(508\) −40.9466 + 16.3926i −1.81671 + 0.727302i
\(509\) −0.273513 + 2.86436i −0.0121232 + 0.126960i −0.999507 0.0313824i \(-0.990009\pi\)
0.987384 + 0.158343i \(0.0506151\pi\)
\(510\) −13.7984 + 46.9931i −0.611005 + 2.08089i
\(511\) 18.8042 15.6678i 0.831847 0.693102i
\(512\) −7.45036 + 2.18762i −0.329262 + 0.0966802i
\(513\) −2.58395 5.01216i −0.114084 0.221292i
\(514\) 4.52740 + 47.4131i 0.199695 + 2.09130i
\(515\) −29.4326 5.67266i −1.29695 0.249967i
\(516\) 0.860155 + 18.0569i 0.0378662 + 0.794909i
\(517\) −0.718790 4.99929i −0.0316123 0.219869i
\(518\) −42.6379 + 5.29124i −1.87340 + 0.232484i
\(519\) −11.2451 + 7.22677i −0.493604 + 0.317220i
\(520\) −15.1996 + 5.26064i −0.666548 + 0.230694i
\(521\) 9.08117 0.867146i 0.397853 0.0379904i 0.105788 0.994389i \(-0.466264\pi\)
0.292065 + 0.956398i \(0.405658\pi\)
\(522\) −0.0625902 + 1.31393i −0.00273950 + 0.0575091i
\(523\) 0.279060 1.15030i 0.0122025 0.0502992i −0.965385 0.260830i \(-0.916004\pi\)
0.977587 + 0.210530i \(0.0675191\pi\)
\(524\) −39.9479 + 34.6150i −1.74513 + 1.51216i
\(525\) 27.5032 6.11172i 1.20034 0.266737i
\(526\) 16.9679 7.74898i 0.739835 0.337871i
\(527\) 32.1864 40.9283i 1.40206 1.78287i
\(528\) 0.520974 + 0.902353i 0.0226725 + 0.0392699i
\(529\) 6.70364 22.0014i 0.291463 0.956582i
\(530\) −53.8195 31.0727i −2.33777 1.34971i
\(531\) 12.1534 + 1.74739i 0.527412 + 0.0758304i
\(532\) −45.5920 5.24476i −1.97667 0.227389i
\(533\) −10.1024 2.96632i −0.437582 0.128486i
\(534\) −3.06411 15.8981i −0.132597 0.687978i
\(535\) 24.6564 25.8589i 1.06599 1.11798i
\(536\) −21.7399 1.03560i −0.939022 0.0447311i
\(537\) 10.1930 7.25841i 0.439861 0.313223i
\(538\) −44.4705 38.5339i −1.91726 1.66132i
\(539\) −10.5687 + 0.0944098i −0.455226 + 0.00406652i
\(540\) 12.0445 1.73173i 0.518312 0.0745220i
\(541\) −34.0541 13.6332i −1.46410 0.586137i −0.503480 0.864007i \(-0.667947\pi\)
−0.960619 + 0.277870i \(0.910372\pi\)
\(542\) −17.0996 + 33.1686i −0.734491 + 1.42471i
\(543\) −0.113947 + 0.591213i −0.00488994 + 0.0253714i
\(544\) −20.4113 28.6637i −0.875127 1.22894i
\(545\) 18.1632 28.2625i 0.778025 1.21063i
\(546\) −2.54434 + 9.66814i −0.108888 + 0.413758i
\(547\) 5.55254 + 6.40797i 0.237409 + 0.273985i 0.861934 0.507020i \(-0.169253\pi\)
−0.624525 + 0.781005i \(0.714707\pi\)
\(548\) 26.7424 + 28.0467i 1.14238 + 1.19809i
\(549\) −3.21666 + 4.51717i −0.137284 + 0.192788i
\(550\) 13.4633 + 33.6297i 0.574077 + 1.43398i
\(551\) −1.64617 + 2.85126i −0.0701294 + 0.121468i
\(552\) −4.63101 + 10.6645i −0.197109 + 0.453910i
\(553\) 20.6523 11.3971i 0.878227 0.484652i
\(554\) −5.91516 + 41.1408i −0.251311 + 1.74791i
\(555\) 28.3839 + 2.71033i 1.20483 + 0.115047i
\(556\) −42.9050 + 10.4086i −1.81958 + 0.441425i
\(557\) −5.07389 1.75609i −0.214988 0.0744080i 0.217451 0.976071i \(-0.430226\pi\)
−0.432439 + 0.901663i \(0.642347\pi\)
\(558\) −20.7456 5.03283i −0.878232 0.213057i
\(559\) 8.29170 + 5.32875i 0.350702 + 0.225382i
\(560\) −3.12684 + 6.51070i −0.132133 + 0.275127i
\(561\) −5.43350 + 6.27059i −0.229403 + 0.264745i
\(562\) 25.1125 1.19626i 1.05931 0.0504610i
\(563\) 18.2778 14.3738i 0.770318 0.605785i −0.153707 0.988116i \(-0.549121\pi\)
0.924025 + 0.382332i \(0.124879\pi\)
\(564\) 8.08824 6.36066i 0.340576 0.267832i
\(565\) −10.3750 + 0.494222i −0.436479 + 0.0207921i
\(566\) −7.97977 + 9.20914i −0.335415 + 0.387089i
\(567\) 1.14541 2.38496i 0.0481025 0.100159i
\(568\) 16.3881 + 10.5320i 0.687630 + 0.441913i
\(569\) −21.0306 5.10196i −0.881647 0.213885i −0.230715 0.973021i \(-0.574107\pi\)
−0.650932 + 0.759136i \(0.725622\pi\)
\(570\) 47.4940 + 16.4378i 1.98930 + 0.688505i
\(571\) −28.9144 + 7.01455i −1.21003 + 0.293550i −0.789512 0.613735i \(-0.789666\pi\)
−0.420517 + 0.907285i \(0.638151\pi\)
\(572\) −7.75414 0.740430i −0.324217 0.0309589i
\(573\) −0.259720 + 1.80639i −0.0108500 + 0.0754632i
\(574\) 32.7635 18.0806i 1.36752 0.754671i
\(575\) 26.8013 43.4720i 1.11769 1.81291i
\(576\) −6.52334 + 11.2988i −0.271806 + 0.470782i
\(577\) −3.40479 8.50475i −0.141743 0.354058i 0.840461 0.541871i \(-0.182284\pi\)
−0.982205 + 0.187814i \(0.939860\pi\)
\(578\) 17.2483 24.2218i 0.717434 1.00749i
\(579\) 2.73362 + 2.86693i 0.113605 + 0.119146i
\(580\) −4.65246 5.36922i −0.193183 0.222945i
\(581\) −2.78410 + 10.5792i −0.115504 + 0.438899i
\(582\) −11.8770 + 18.4810i −0.492319 + 0.766064i
\(583\) −6.10685 8.57588i −0.252920 0.355176i
\(584\) −4.24442 + 22.0221i −0.175635 + 0.911282i
\(585\) 3.04014 5.89705i 0.125694 0.243813i
\(586\) 52.2163 + 20.9042i 2.15703 + 0.863546i
\(587\) −10.0283 + 1.44185i −0.413911 + 0.0595115i −0.346125 0.938188i \(-0.612503\pi\)
−0.0677863 + 0.997700i \(0.521594\pi\)
\(588\) −10.9323 18.5505i −0.450839 0.765011i
\(589\) −40.3798 34.9893i −1.66382 1.44171i
\(590\) −89.1404 + 63.4766i −3.66985 + 2.61329i
\(591\) −6.01883 0.286712i −0.247581 0.0117938i
\(592\) −3.43247 + 3.59987i −0.141074 + 0.147954i
\(593\) −0.987748 5.12492i −0.0405619 0.210455i 0.955993 0.293389i \(-0.0947831\pi\)
−0.996555 + 0.0829337i \(0.973571\pi\)
\(594\) 3.26396 + 0.958384i 0.133922 + 0.0393230i
\(595\) −57.1380 6.57297i −2.34243 0.269465i
\(596\) 3.47914 + 0.500225i 0.142511 + 0.0204900i
\(597\) 15.3811 + 8.88026i 0.629505 + 0.363445i
\(598\) 9.35307 + 15.5215i 0.382475 + 0.634721i
\(599\) −11.1224 19.2646i −0.454450 0.787130i 0.544207 0.838951i \(-0.316831\pi\)
−0.998656 + 0.0518212i \(0.983497\pi\)
\(600\) −15.9583 + 20.2927i −0.651497 + 0.828445i
\(601\) 11.5554 5.27719i 0.471356 0.215261i −0.165552 0.986201i \(-0.552940\pi\)
0.636908 + 0.770940i \(0.280213\pi\)
\(602\) −34.1970 + 7.59923i −1.39377 + 0.309721i
\(603\) 6.78485 5.87911i 0.276301 0.239416i
\(604\) −3.02425 + 12.4661i −0.123055 + 0.507239i
\(605\) 1.64139 34.4571i 0.0667322 1.40088i
\(606\) −15.7646 + 1.50534i −0.640395 + 0.0611503i
\(607\) 5.82997 2.01777i 0.236631 0.0818988i −0.206179 0.978514i \(-0.566103\pi\)
0.442810 + 0.896615i \(0.353982\pi\)
\(608\) −30.3767 + 19.5219i −1.23194 + 0.791718i
\(609\) −1.53297 + 0.190237i −0.0621189 + 0.00770879i
\(610\) −7.03376 48.9209i −0.284789 1.98075i
\(611\) −0.266948 5.60392i −0.0107995 0.226710i
\(612\) −16.5982 3.19904i −0.670942 0.129314i
\(613\) 1.69539 + 17.7549i 0.0684762 + 0.717115i 0.962894 + 0.269882i \(0.0869846\pi\)
−0.894417 + 0.447233i \(0.852409\pi\)
\(614\) −18.1506 35.2073i −0.732499 1.42085i
\(615\) −23.8281 + 6.99657i −0.960843 + 0.282129i
\(616\) 7.44029 6.19932i 0.299778 0.249778i
\(617\) −7.55964 + 25.7458i −0.304340 + 1.03649i 0.655327 + 0.755345i \(0.272531\pi\)
−0.959667 + 0.281140i \(0.909287\pi\)
\(618\) 1.62274 16.9941i 0.0652763 0.683604i
\(619\) 6.40942 2.56595i 0.257616 0.103134i −0.239259 0.970956i \(-0.576905\pi\)
0.496876 + 0.867822i \(0.334480\pi\)
\(620\) 99.8490 57.6479i 4.01003 2.31519i
\(621\) −1.65313 4.50191i −0.0663379 0.180655i
\(622\) 37.0946i 1.48736i
\(623\) 17.7844 6.72388i 0.712518 0.269387i
\(624\) 0.480796 + 1.05280i 0.0192472 + 0.0421456i
\(625\) 25.4412 24.2582i 1.01765 0.970326i
\(626\) −6.60679 + 19.0891i −0.264060 + 0.762952i
\(627\) 6.16202 + 5.87548i 0.246087 + 0.234644i
\(628\) −16.6722 + 8.59512i −0.665294 + 0.342983i
\(629\) −36.0295 16.4541i −1.43659 0.656069i
\(630\) 7.28017 + 22.4285i 0.290049 + 0.893571i
\(631\) −13.4927 20.9950i −0.537135 0.835799i 0.461547 0.887116i \(-0.347295\pi\)
−0.998682 + 0.0513168i \(0.983658\pi\)
\(632\) −8.03314 + 20.0658i −0.319541 + 0.798175i
\(633\) −17.4287 22.1624i −0.692730 0.880878i
\(634\) −27.8291 14.3469i −1.10523 0.569788i
\(635\) 18.5518 + 53.6018i 0.736205 + 2.12712i
\(636\) 8.91004 19.5103i 0.353306 0.773632i
\(637\) −11.6964 1.01153i −0.463429 0.0400781i
\(638\) −0.559554 1.90566i −0.0221529 0.0754460i
\(639\) −7.89032 + 1.52073i −0.312136 + 0.0601593i
\(640\) −15.4699 63.7680i −0.611503 2.52065i
\(641\) 35.9008 + 25.5648i 1.41800 + 1.00975i 0.994597 + 0.103807i \(0.0331024\pi\)
0.423399 + 0.905943i \(0.360837\pi\)
\(642\) 15.9958 + 12.5792i 0.631302 + 0.496461i
\(643\) 13.2243 0.521514 0.260757 0.965404i \(-0.416028\pi\)
0.260757 + 0.965404i \(0.416028\pi\)
\(644\) −37.9246 9.22498i −1.49444 0.363515i
\(645\) 23.2479 0.915386
\(646\) −54.8792 43.1575i −2.15919 1.69801i
\(647\) −16.5314 11.7720i −0.649918 0.462804i 0.206943 0.978353i \(-0.433649\pi\)
−0.856860 + 0.515549i \(0.827588\pi\)
\(648\) 0.571552 + 2.35597i 0.0224527 + 0.0925512i
\(649\) −18.2038 + 3.50849i −0.714560 + 0.137720i
\(650\) 11.3363 + 38.6080i 0.444647 + 1.51433i
\(651\) 1.67668 25.0125i 0.0657142 0.980318i
\(652\) −1.17248 + 2.56737i −0.0459178 + 0.100546i
\(653\) 14.4216 + 41.6683i 0.564359 + 1.63061i 0.759993 + 0.649931i \(0.225202\pi\)
−0.195634 + 0.980677i \(0.562676\pi\)
\(654\) 17.0069 + 8.76769i 0.665024 + 0.342844i
\(655\) 42.0209 + 53.4339i 1.64189 + 2.08784i
\(656\) 1.61013 4.02192i 0.0628652 0.157030i
\(657\) −5.00150 7.78249i −0.195127 0.303624i
\(658\) 14.8143 + 13.3467i 0.577521 + 0.520310i
\(659\) −22.1840 10.1311i −0.864166 0.394651i −0.0665255 0.997785i \(-0.521191\pi\)
−0.797640 + 0.603133i \(0.793919\pi\)
\(660\) −16.3303 + 8.41883i −0.635655 + 0.327703i
\(661\) 24.0894 + 22.9692i 0.936969 + 0.893398i 0.994478 0.104947i \(-0.0334673\pi\)
−0.0575090 + 0.998345i \(0.518316\pi\)
\(662\) 14.4708 41.8105i 0.562422 1.62501i
\(663\) −6.67025 + 6.36007i −0.259051 + 0.247005i
\(664\) −4.16404 9.11797i −0.161596 0.353846i
\(665\) −9.52710 + 58.2451i −0.369445 + 2.25865i
\(666\) 16.2392i 0.629257i
\(667\) −1.68937 + 2.23301i −0.0654126 + 0.0864623i
\(668\) −14.5243 + 8.38562i −0.561963 + 0.324449i
\(669\) 20.0350 8.02079i 0.774596 0.310102i
\(670\) −7.60580 + 79.6515i −0.293838 + 3.07721i
\(671\) 2.35892 8.03373i 0.0910649 0.310139i
\(672\) −15.8999 5.84959i −0.613351 0.225653i
\(673\) 36.0717 10.5916i 1.39046 0.408276i 0.501063 0.865411i \(-0.332942\pi\)
0.889397 + 0.457135i \(0.151124\pi\)
\(674\) −21.2458 41.2110i −0.818356 1.58739i
\(675\) −1.01223 10.6006i −0.0389608 0.408016i
\(676\) 30.7697 + 5.93038i 1.18345 + 0.228092i
\(677\) 1.94092 + 40.7448i 0.0745955 + 1.56595i 0.657527 + 0.753431i \(0.271602\pi\)
−0.582932 + 0.812521i \(0.698095\pi\)
\(678\) −0.841883 5.85543i −0.0323323 0.224876i
\(679\) −23.7602 10.0494i −0.911833 0.385660i
\(680\) 44.3348 28.4923i 1.70016 1.09263i
\(681\) 24.0074 8.30905i 0.919966 0.318403i
\(682\) 32.0859 3.06383i 1.22863 0.117320i
\(683\) 1.15821 24.3138i 0.0443176 0.930341i −0.861783 0.507278i \(-0.830652\pi\)
0.906100 0.423063i \(-0.139045\pi\)
\(684\) −4.08943 + 16.8569i −0.156363 + 0.644538i
\(685\) 37.6643 32.6363i 1.43908 1.24697i
\(686\) 31.8171 26.9954i 1.21478 1.03069i
\(687\) 0.925109 0.422483i 0.0352951 0.0161187i
\(688\) −2.50697 + 3.18787i −0.0955774 + 0.121537i
\(689\) −5.84722 10.1277i −0.222761 0.385834i
\(690\) 38.3516 + 18.8714i 1.46002 + 0.718421i
\(691\) 35.5512 + 20.5255i 1.35243 + 0.780828i 0.988590 0.150633i \(-0.0481311\pi\)
0.363843 + 0.931460i \(0.381464\pi\)
\(692\) 40.6989 + 5.85163i 1.54714 + 0.222445i
\(693\) −0.456532 + 3.96858i −0.0173422 + 0.150754i
\(694\) 63.6926 + 18.7018i 2.41774 + 0.709912i
\(695\) 10.7452 + 55.7514i 0.407588 + 2.11477i
\(696\) 0.976761 1.02440i 0.0370240 0.0388297i
\(697\) 34.4592 + 1.64150i 1.30524 + 0.0621761i
\(698\) 41.7483 29.7288i 1.58019 1.12525i
\(699\) 0.0376597 + 0.0326323i 0.00142442 + 0.00123427i
\(700\) −76.2482 41.1936i −2.88191 1.55697i
\(701\) 11.5373 1.65882i 0.435759 0.0626527i 0.0790552 0.996870i \(-0.474810\pi\)
0.356704 + 0.934218i \(0.383901\pi\)
\(702\) 3.50797 + 1.40438i 0.132400 + 0.0530048i
\(703\) −18.6246 + 36.1267i −0.702440 + 1.36254i
\(704\) 3.72803 19.3429i 0.140505 0.729012i
\(705\) −7.67577 10.7791i −0.289086 0.405965i
\(706\) −12.4066 + 19.3051i −0.466929 + 0.726556i
\(707\) −4.89343 17.9416i −0.184036 0.674763i
\(708\) −24.7332 28.5436i −0.929531 1.07274i
\(709\) 15.1343 + 15.8724i 0.568382 + 0.596102i 0.943703 0.330793i \(-0.107316\pi\)
−0.375322 + 0.926895i \(0.622468\pi\)
\(710\) 41.5420 58.3376i 1.55904 2.18937i
\(711\) −3.31358 8.27693i −0.124269 0.310409i
\(712\) −8.71085 + 15.0876i −0.326453 + 0.565433i
\(713\) −30.3951 33.7788i −1.13830 1.26502i
\(714\) 0.633267 32.7507i 0.0236994 1.22566i
\(715\) −1.42562 + 9.91541i −0.0533152 + 0.370815i
\(716\) −38.3169 3.65882i −1.43197 0.136737i
\(717\) −13.4925 + 3.27325i −0.503888 + 0.122242i
\(718\) 21.6924 + 7.50781i 0.809553 + 0.280189i
\(719\) −33.0313 8.01332i −1.23186 0.298846i −0.433571 0.901119i \(-0.642747\pi\)
−0.798290 + 0.602273i \(0.794262\pi\)
\(720\) 2.29653 + 1.47589i 0.0855867 + 0.0550033i
\(721\) 19.9897 1.51946i 0.744454 0.0565875i
\(722\) −18.8831 + 21.7922i −0.702755 + 0.811022i
\(723\) 16.2483 0.774004i 0.604282 0.0287855i
\(724\) 1.45582 1.14487i 0.0541050 0.0425487i
\(725\) −4.88713 + 3.84328i −0.181504 + 0.142736i
\(726\) 19.6246 0.934834i 0.728337 0.0346950i
\(727\) −28.6511 + 33.0651i −1.06261 + 1.22632i −0.0894961 + 0.995987i \(0.528526\pi\)
−0.973113 + 0.230329i \(0.926020\pi\)
\(728\) 8.88176 6.06936i 0.329180 0.224946i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 80.1266 + 19.4385i 2.96562 + 0.719451i
\(731\) −30.5187 10.5626i −1.12878 0.390673i
\(732\) 16.5771 4.02155i 0.612706 0.148641i
\(733\) −0.897801 0.0857296i −0.0331611 0.00316650i 0.0784623 0.996917i \(-0.474999\pi\)
−0.111623 + 0.993751i \(0.535605\pi\)
\(734\) 11.2383 78.1642i 0.414814 2.88509i
\(735\) −24.4984 + 12.9081i −0.903637 + 0.476122i
\(736\) −27.6907 + 13.2779i −1.02069 + 0.489431i
\(737\) −6.77756 + 11.7391i −0.249654 + 0.432414i
\(738\) −5.25677 13.1308i −0.193504 0.483350i
\(739\) 11.4919 16.1381i 0.422735 0.593648i −0.547203 0.837000i \(-0.684307\pi\)
0.969938 + 0.243351i \(0.0782468\pi\)
\(740\) −60.5247 63.4765i −2.22493 2.33344i
\(741\) 6.19335 + 7.14751i 0.227518 + 0.262570i
\(742\) 40.1954 + 10.5781i 1.47562 + 0.388336i
\(743\) 7.41431 11.5369i 0.272005 0.423247i −0.678198 0.734879i \(-0.737239\pi\)
0.950203 + 0.311631i \(0.100875\pi\)
\(744\) 13.3242 + 18.7112i 0.488488 + 0.685985i
\(745\) 0.855468 4.43859i 0.0313419 0.162617i
\(746\) −30.7967 + 59.7373i −1.12755 + 2.18714i
\(747\) 3.83853 + 1.53672i 0.140444 + 0.0562255i
\(748\) 25.2626 3.63222i 0.923693 0.132807i
\(749\) −11.3587 + 21.0247i −0.415039 + 0.768224i
\(750\) 38.0483 + 32.9691i 1.38933 + 1.20386i
\(751\) 19.8869 14.1614i 0.725682 0.516756i −0.156492 0.987679i \(-0.550019\pi\)
0.882174 + 0.470924i \(0.156079\pi\)
\(752\) 2.30582 + 0.109840i 0.0840844 + 0.00400543i
\(753\) 10.5389 11.0529i 0.384059 0.402789i
\(754\) −0.417519 2.16629i −0.0152051 0.0788917i
\(755\) 15.8285 + 4.64767i 0.576059 + 0.169146i
\(756\) −7.46694 + 3.23707i −0.271570 + 0.117731i
\(757\) 36.8665 + 5.30060i 1.33993 + 0.192654i 0.774727 0.632295i \(-0.217887\pi\)
0.565207 + 0.824949i \(0.308796\pi\)
\(758\) 17.3015 + 9.98904i 0.628420 + 0.362818i
\(759\) 4.58192 + 5.60709i 0.166313 + 0.203525i
\(760\) −27.0397 46.8341i −0.980832 1.69885i
\(761\) 9.77102 12.4249i 0.354199 0.450401i −0.576004 0.817447i \(-0.695389\pi\)
0.930203 + 0.367046i \(0.119631\pi\)
\(762\) −29.3856 + 13.4200i −1.06453 + 0.486154i
\(763\) −6.74597 + 21.4328i −0.244221 + 0.775921i
\(764\) 4.24252 3.67617i 0.153489 0.132999i
\(765\) −5.12506 + 21.1258i −0.185297 + 0.763804i
\(766\) 1.96566 41.2643i 0.0710222 1.49094i
\(767\) −20.4995 + 1.95746i −0.740193 + 0.0706798i
\(768\) 10.6580 3.68877i 0.384588 0.133107i
\(769\) −34.5010 + 22.1724i −1.24414 + 0.799558i −0.986032 0.166559i \(-0.946734\pi\)
−0.258105 + 0.966117i \(0.583098\pi\)
\(770\) −21.4634 28.4064i −0.773489 1.02370i
\(771\) 3.00855 + 20.9249i 0.108350 + 0.753593i
\(772\) −0.579791 12.1713i −0.0208671 0.438055i
\(773\) −49.7660 9.59162i −1.78996 0.344987i −0.817121