Properties

Label 144.2.u.a.59.7
Level $144$
Weight $2$
Character 144.59
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 59.7
Character \(\chi\) \(=\) 144.59
Dual form 144.2.u.a.83.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.845208 + 1.13385i) q^{2} +(1.38573 + 1.03912i) q^{3} +(-0.571246 - 1.91668i) q^{4} +(0.310357 + 1.15827i) q^{5} +(-2.34943 + 0.692939i) q^{6} +(0.356047 + 0.616691i) q^{7} +(2.65606 + 0.972288i) q^{8} +(0.840471 + 2.87986i) q^{9} +O(q^{10})\) \(q+(-0.845208 + 1.13385i) q^{2} +(1.38573 + 1.03912i) q^{3} +(-0.571246 - 1.91668i) q^{4} +(0.310357 + 1.15827i) q^{5} +(-2.34943 + 0.692939i) q^{6} +(0.356047 + 0.616691i) q^{7} +(2.65606 + 0.972288i) q^{8} +(0.840471 + 2.87986i) q^{9} +(-1.57562 - 0.627079i) q^{10} +(-0.611314 + 2.28146i) q^{11} +(1.20007 - 3.24959i) q^{12} +(-1.31401 - 4.90394i) q^{13} +(-1.00017 - 0.117528i) q^{14} +(-0.773508 + 1.92754i) q^{15} +(-3.34736 + 2.18980i) q^{16} +0.863180i q^{17} +(-3.97571 - 1.48111i) q^{18} +(-0.539682 - 0.539682i) q^{19} +(2.04275 - 1.25651i) q^{20} +(-0.147431 + 1.22454i) q^{21} +(-2.07015 - 2.62145i) q^{22} +(-0.689728 - 0.398215i) q^{23} +(2.67025 + 4.10728i) q^{24} +(3.08486 - 1.78104i) q^{25} +(6.67096 + 2.65496i) q^{26} +(-1.82785 + 4.86405i) q^{27} +(0.978612 - 1.03471i) q^{28} +(2.22809 - 8.31534i) q^{29} +(-1.53177 - 2.50622i) q^{30} +(4.18508 + 2.41626i) q^{31} +(0.346304 - 5.64624i) q^{32} +(-3.21781 + 2.52625i) q^{33} +(-0.978720 - 0.729567i) q^{34} +(-0.603793 + 0.603793i) q^{35} +(5.03967 - 3.25603i) q^{36} +(-6.95600 - 6.95600i) q^{37} +(1.06806 - 0.155776i) q^{38} +(3.27492 - 8.16093i) q^{39} +(-0.301843 + 3.37819i) q^{40} +(3.17027 - 5.49108i) q^{41} +(-1.26384 - 1.20216i) q^{42} +(12.0362 + 3.22509i) q^{43} +(4.72204 - 0.131577i) q^{44} +(-3.07481 + 1.86728i) q^{45} +(1.03448 - 0.445476i) q^{46} +(-1.31575 - 2.27895i) q^{47} +(-6.91397 - 0.443836i) q^{48} +(3.24646 - 5.62304i) q^{49} +(-0.587906 + 5.00313i) q^{50} +(-0.896946 + 1.19613i) q^{51} +(-8.64869 + 5.31990i) q^{52} +(-8.87081 + 8.87081i) q^{53} +(-3.97020 - 6.18365i) q^{54} -2.83227 q^{55} +(0.346081 + 1.98415i) q^{56} +(-0.187058 - 1.30864i) q^{57} +(7.54518 + 9.55452i) q^{58} +(-12.7025 + 3.40363i) q^{59} +(4.13635 + 0.381469i) q^{60} +(0.548319 + 0.146922i) q^{61} +(-6.27695 + 2.70303i) q^{62} +(-1.47674 + 1.54368i) q^{63} +(6.10931 + 5.16491i) q^{64} +(5.27228 - 3.04395i) q^{65} +(-0.144669 - 5.78373i) q^{66} +(-6.89625 + 1.84784i) q^{67} +(1.65444 - 0.493089i) q^{68} +(-0.541982 - 1.26852i) q^{69} +(-0.174282 - 1.19494i) q^{70} -3.03550i q^{71} +(-0.567712 + 8.46627i) q^{72} +11.6817i q^{73} +(13.7663 - 2.00781i) q^{74} +(6.12548 + 0.737491i) q^{75} +(-0.726108 + 1.34269i) q^{76} +(-1.62461 + 0.435313i) q^{77} +(6.48531 + 10.6110i) q^{78} +(0.841919 - 0.486082i) q^{79} +(-3.57525 - 3.19752i) q^{80} +(-7.58722 + 4.84088i) q^{81} +(3.54653 + 8.23573i) q^{82} +(-11.1696 - 2.99289i) q^{83} +(2.43127 - 0.416935i) q^{84} +(-0.999796 + 0.267894i) q^{85} +(-13.8299 + 10.9214i) q^{86} +(11.7281 - 9.20754i) q^{87} +(-3.84192 + 5.46531i) q^{88} +4.35531 q^{89} +(0.481635 - 5.06462i) q^{90} +(2.55637 - 2.55637i) q^{91} +(-0.369247 + 1.54947i) q^{92} +(3.28860 + 7.69706i) q^{93} +(3.69609 + 0.434318i) q^{94} +(0.457603 - 0.792591i) q^{95} +(6.34699 - 7.46430i) q^{96} +(-2.89654 - 5.01695i) q^{97} +(3.63176 + 8.43365i) q^{98} +(-7.08407 + 0.156998i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.845208 + 1.13385i −0.597652 + 0.801755i
\(3\) 1.38573 + 1.03912i 0.800049 + 0.599935i
\(4\) −0.571246 1.91668i −0.285623 0.958342i
\(5\) 0.310357 + 1.15827i 0.138796 + 0.517994i 0.999953 + 0.00965542i \(0.00307346\pi\)
−0.861157 + 0.508339i \(0.830260\pi\)
\(6\) −2.34943 + 0.692939i −0.959152 + 0.282891i
\(7\) 0.356047 + 0.616691i 0.134573 + 0.233087i 0.925434 0.378908i \(-0.123700\pi\)
−0.790861 + 0.611996i \(0.790367\pi\)
\(8\) 2.65606 + 0.972288i 0.939059 + 0.343756i
\(9\) 0.840471 + 2.87986i 0.280157 + 0.959954i
\(10\) −1.57562 0.627079i −0.498256 0.198300i
\(11\) −0.611314 + 2.28146i −0.184318 + 0.687885i 0.810457 + 0.585798i \(0.199219\pi\)
−0.994775 + 0.102087i \(0.967448\pi\)
\(12\) 1.20007 3.24959i 0.346430 0.938076i
\(13\) −1.31401 4.90394i −0.364440 1.36011i −0.868178 0.496253i \(-0.834709\pi\)
0.503738 0.863857i \(-0.331958\pi\)
\(14\) −1.00017 0.117528i −0.267307 0.0314106i
\(15\) −0.773508 + 1.92754i −0.199719 + 0.497689i
\(16\) −3.34736 + 2.18980i −0.836839 + 0.547449i
\(17\) 0.863180i 0.209352i 0.994506 + 0.104676i \(0.0333806\pi\)
−0.994506 + 0.104676i \(0.966619\pi\)
\(18\) −3.97571 1.48111i −0.937085 0.349101i
\(19\) −0.539682 0.539682i −0.123811 0.123811i 0.642486 0.766297i \(-0.277903\pi\)
−0.766297 + 0.642486i \(0.777903\pi\)
\(20\) 2.04275 1.25651i 0.456772 0.280965i
\(21\) −0.147431 + 1.22454i −0.0321721 + 0.267216i
\(22\) −2.07015 2.62145i −0.441357 0.558894i
\(23\) −0.689728 0.398215i −0.143818 0.0830335i 0.426364 0.904552i \(-0.359794\pi\)
−0.570182 + 0.821518i \(0.693128\pi\)
\(24\) 2.67025 + 4.10728i 0.545063 + 0.838395i
\(25\) 3.08486 1.78104i 0.616972 0.356209i
\(26\) 6.67096 + 2.65496i 1.30828 + 0.520681i
\(27\) −1.82785 + 4.86405i −0.351770 + 0.936086i
\(28\) 0.978612 1.03471i 0.184940 0.195542i
\(29\) 2.22809 8.31534i 0.413746 1.54412i −0.373589 0.927594i \(-0.621873\pi\)
0.787335 0.616526i \(-0.211460\pi\)
\(30\) −1.53177 2.50622i −0.279662 0.457571i
\(31\) 4.18508 + 2.41626i 0.751663 + 0.433973i 0.826295 0.563238i \(-0.190445\pi\)
−0.0746314 + 0.997211i \(0.523778\pi\)
\(32\) 0.346304 5.64624i 0.0612184 0.998124i
\(33\) −3.21781 + 2.52625i −0.560150 + 0.439763i
\(34\) −0.978720 0.729567i −0.167849 0.125120i
\(35\) −0.603793 + 0.603793i −0.102060 + 0.102060i
\(36\) 5.03967 3.25603i 0.839945 0.542671i
\(37\) −6.95600 6.95600i −1.14356 1.14356i −0.987794 0.155765i \(-0.950216\pi\)
−0.155765 0.987794i \(-0.549784\pi\)
\(38\) 1.06806 0.155776i 0.173263 0.0252703i
\(39\) 3.27492 8.16093i 0.524407 1.30679i
\(40\) −0.301843 + 3.37819i −0.0477256 + 0.534139i
\(41\) 3.17027 5.49108i 0.495114 0.857562i −0.504870 0.863195i \(-0.668460\pi\)
0.999984 + 0.00563304i \(0.00179306\pi\)
\(42\) −1.26384 1.20216i −0.195014 0.185497i
\(43\) 12.0362 + 3.22509i 1.83550 + 0.491822i 0.998468 0.0553283i \(-0.0176206\pi\)
0.837035 + 0.547150i \(0.184287\pi\)
\(44\) 4.72204 0.131577i 0.711875 0.0198359i
\(45\) −3.07481 + 1.86728i −0.458366 + 0.278358i
\(46\) 1.03448 0.445476i 0.152526 0.0656818i
\(47\) −1.31575 2.27895i −0.191923 0.332420i 0.753965 0.656915i \(-0.228139\pi\)
−0.945887 + 0.324495i \(0.894806\pi\)
\(48\) −6.91397 0.443836i −0.997946 0.0640622i
\(49\) 3.24646 5.62304i 0.463780 0.803291i
\(50\) −0.587906 + 5.00313i −0.0831424 + 0.707550i
\(51\) −0.896946 + 1.19613i −0.125597 + 0.167492i
\(52\) −8.64869 + 5.31990i −1.19936 + 0.737737i
\(53\) −8.87081 + 8.87081i −1.21850 + 1.21850i −0.250342 + 0.968157i \(0.580543\pi\)
−0.968157 + 0.250342i \(0.919457\pi\)
\(54\) −3.97020 6.18365i −0.540276 0.841488i
\(55\) −2.83227 −0.381903
\(56\) 0.346081 + 1.98415i 0.0462470 + 0.265143i
\(57\) −0.187058 1.30864i −0.0247765 0.173334i
\(58\) 7.54518 + 9.55452i 0.990730 + 1.25457i
\(59\) −12.7025 + 3.40363i −1.65373 + 0.443115i −0.960654 0.277749i \(-0.910412\pi\)
−0.693076 + 0.720865i \(0.743745\pi\)
\(60\) 4.13635 + 0.381469i 0.534001 + 0.0492474i
\(61\) 0.548319 + 0.146922i 0.0702051 + 0.0188114i 0.293751 0.955882i \(-0.405096\pi\)
−0.223546 + 0.974693i \(0.571763\pi\)
\(62\) −6.27695 + 2.70303i −0.797173 + 0.343285i
\(63\) −1.47674 + 1.54368i −0.186052 + 0.194485i
\(64\) 6.10931 + 5.16491i 0.763664 + 0.645614i
\(65\) 5.27228 3.04395i 0.653946 0.377556i
\(66\) −0.144669 5.78373i −0.0178075 0.711928i
\(67\) −6.89625 + 1.84784i −0.842511 + 0.225750i −0.654164 0.756352i \(-0.726980\pi\)
−0.188347 + 0.982103i \(0.560313\pi\)
\(68\) 1.65444 0.493089i 0.200631 0.0597958i
\(69\) −0.541982 1.26852i −0.0652470 0.152712i
\(70\) −0.174282 1.19494i −0.0208307 0.142823i
\(71\) 3.03550i 0.360248i −0.983644 0.180124i \(-0.942350\pi\)
0.983644 0.180124i \(-0.0576499\pi\)
\(72\) −0.567712 + 8.46627i −0.0669055 + 0.997759i
\(73\) 11.6817i 1.36724i 0.729839 + 0.683619i \(0.239595\pi\)
−0.729839 + 0.683619i \(0.760405\pi\)
\(74\) 13.7663 2.00781i 1.60031 0.233404i
\(75\) 6.12548 + 0.737491i 0.707310 + 0.0851581i
\(76\) −0.726108 + 1.34269i −0.0832903 + 0.154017i
\(77\) −1.62461 + 0.435313i −0.185142 + 0.0496085i
\(78\) 6.48531 + 10.6110i 0.734317 + 1.20145i
\(79\) 0.841919 0.486082i 0.0947233 0.0546885i −0.451890 0.892074i \(-0.649250\pi\)
0.546613 + 0.837385i \(0.315917\pi\)
\(80\) −3.57525 3.19752i −0.399725 0.357494i
\(81\) −7.58722 + 4.84088i −0.843024 + 0.537876i
\(82\) 3.54653 + 8.23573i 0.391649 + 0.909484i
\(83\) −11.1696 2.99289i −1.22602 0.328512i −0.412994 0.910734i \(-0.635517\pi\)
−0.813030 + 0.582221i \(0.802184\pi\)
\(84\) 2.43127 0.416935i 0.265274 0.0454913i
\(85\) −0.999796 + 0.267894i −0.108443 + 0.0290572i
\(86\) −13.8299 + 10.9214i −1.49131 + 1.17769i
\(87\) 11.7281 9.20754i 1.25739 0.987152i
\(88\) −3.84192 + 5.46531i −0.409550 + 0.582604i
\(89\) 4.35531 0.461662 0.230831 0.972994i \(-0.425856\pi\)
0.230831 + 0.972994i \(0.425856\pi\)
\(90\) 0.481635 5.06462i 0.0507687 0.533858i
\(91\) 2.55637 2.55637i 0.267981 0.267981i
\(92\) −0.369247 + 1.54947i −0.0384967 + 0.161543i
\(93\) 3.28860 + 7.69706i 0.341012 + 0.798148i
\(94\) 3.69609 + 0.434318i 0.381222 + 0.0447965i
\(95\) 0.457603 0.792591i 0.0469490 0.0813181i
\(96\) 6.34699 7.46430i 0.647787 0.761821i
\(97\) −2.89654 5.01695i −0.294099 0.509395i 0.680676 0.732585i \(-0.261686\pi\)
−0.974775 + 0.223190i \(0.928353\pi\)
\(98\) 3.63176 + 8.43365i 0.366863 + 0.851927i
\(99\) −7.08407 + 0.156998i −0.711976 + 0.0157789i
\(100\) −5.17591 4.89529i −0.517591 0.489529i
\(101\) 9.01216 + 2.41480i 0.896744 + 0.240282i 0.677617 0.735415i \(-0.263013\pi\)
0.219127 + 0.975696i \(0.429679\pi\)
\(102\) −0.598132 2.02798i −0.0592239 0.200800i
\(103\) −2.02100 + 3.50047i −0.199135 + 0.344911i −0.948248 0.317530i \(-0.897146\pi\)
0.749113 + 0.662442i \(0.230480\pi\)
\(104\) 1.27796 14.3028i 0.125314 1.40250i
\(105\) −1.46410 + 0.209280i −0.142882 + 0.0204236i
\(106\) −2.56052 17.5559i −0.248699 1.70518i
\(107\) −7.91703 7.91703i −0.765368 0.765368i 0.211919 0.977287i \(-0.432029\pi\)
−0.977287 + 0.211919i \(0.932029\pi\)
\(108\) 10.3670 + 0.724844i 0.997565 + 0.0697482i
\(109\) −8.25467 + 8.25467i −0.790654 + 0.790654i −0.981600 0.190946i \(-0.938844\pi\)
0.190946 + 0.981600i \(0.438844\pi\)
\(110\) 2.39386 3.21138i 0.228245 0.306193i
\(111\) −2.41101 16.8672i −0.228843 1.60096i
\(112\) −2.54224 1.28461i −0.240219 0.121385i
\(113\) −6.70455 3.87087i −0.630711 0.364141i 0.150316 0.988638i \(-0.451971\pi\)
−0.781027 + 0.624497i \(0.785304\pi\)
\(114\) 1.64191 + 0.893979i 0.153779 + 0.0837288i
\(115\) 0.247178 0.922480i 0.0230494 0.0860217i
\(116\) −17.2107 + 0.479565i −1.59797 + 0.0445265i
\(117\) 13.0183 7.90579i 1.20354 0.730890i
\(118\) 6.87707 17.2796i 0.633085 1.59072i
\(119\) −0.532316 + 0.307333i −0.0487973 + 0.0281731i
\(120\) −3.92861 + 4.36760i −0.358631 + 0.398705i
\(121\) 4.69494 + 2.71063i 0.426813 + 0.246421i
\(122\) −0.630032 + 0.497534i −0.0570404 + 0.0450446i
\(123\) 10.0990 4.31484i 0.910596 0.389056i
\(124\) 2.24049 9.40176i 0.201202 0.844303i
\(125\) 7.25990 + 7.25990i 0.649345 + 0.649345i
\(126\) −0.502152 2.97913i −0.0447352 0.265402i
\(127\) 7.21656i 0.640366i 0.947356 + 0.320183i \(0.103744\pi\)
−0.947356 + 0.320183i \(0.896256\pi\)
\(128\) −11.0199 + 2.56164i −0.974030 + 0.226419i
\(129\) 13.3276 + 16.9761i 1.17343 + 1.49466i
\(130\) −1.00478 + 8.55076i −0.0881249 + 0.749951i
\(131\) 1.56297 + 5.83309i 0.136558 + 0.509640i 0.999987 + 0.00516943i \(0.00164549\pi\)
−0.863429 + 0.504470i \(0.831688\pi\)
\(132\) 6.68018 + 4.72442i 0.581435 + 0.411208i
\(133\) 0.140665 0.524969i 0.0121972 0.0455206i
\(134\) 3.73358 9.38115i 0.322532 0.810408i
\(135\) −6.20117 0.607551i −0.533711 0.0522897i
\(136\) −0.839260 + 2.29266i −0.0719659 + 0.196594i
\(137\) 2.72483 + 4.71954i 0.232798 + 0.403217i 0.958630 0.284654i \(-0.0918787\pi\)
−0.725833 + 0.687871i \(0.758545\pi\)
\(138\) 1.89641 + 0.457639i 0.161433 + 0.0389568i
\(139\) −3.85291 14.3793i −0.326800 1.21963i −0.912490 0.409098i \(-0.865843\pi\)
0.585691 0.810534i \(-0.300823\pi\)
\(140\) 1.50219 + 0.812366i 0.126959 + 0.0686575i
\(141\) 0.544825 4.52523i 0.0458825 0.381093i
\(142\) 3.44181 + 2.56563i 0.288831 + 0.215303i
\(143\) 11.9914 1.00277
\(144\) −9.11967 7.79946i −0.759973 0.649955i
\(145\) 10.3229 0.857271
\(146\) −13.2453 9.87346i −1.09619 0.817133i
\(147\) 10.3417 4.41853i 0.852969 0.364434i
\(148\) −9.35886 + 17.3060i −0.769294 + 1.42255i
\(149\) 2.98723 + 11.1485i 0.244724 + 0.913321i 0.973522 + 0.228593i \(0.0734125\pi\)
−0.728798 + 0.684728i \(0.759921\pi\)
\(150\) −6.01352 + 6.32207i −0.491002 + 0.516195i
\(151\) 4.79677 + 8.30825i 0.390355 + 0.676116i 0.992496 0.122274i \(-0.0390188\pi\)
−0.602141 + 0.798390i \(0.705685\pi\)
\(152\) −0.908701 1.95815i −0.0737054 0.158827i
\(153\) −2.48584 + 0.725479i −0.200968 + 0.0586515i
\(154\) 0.879553 2.21000i 0.0708764 0.178087i
\(155\) −1.49981 + 5.59736i −0.120467 + 0.449591i
\(156\) −17.5127 1.61508i −1.40214 0.129310i
\(157\) −2.82669 10.5494i −0.225595 0.841931i −0.982165 0.188019i \(-0.939793\pi\)
0.756571 0.653912i \(-0.226873\pi\)
\(158\) −0.160451 + 1.36545i −0.0127648 + 0.108630i
\(159\) −21.5103 + 3.07470i −1.70588 + 0.243840i
\(160\) 6.64735 1.35124i 0.525519 0.106825i
\(161\) 0.567132i 0.0446963i
\(162\) 0.923924 12.6943i 0.0725903 0.997362i
\(163\) 10.4644 + 10.4644i 0.819633 + 0.819633i 0.986055 0.166422i \(-0.0532214\pi\)
−0.166422 + 0.986055i \(0.553221\pi\)
\(164\) −12.3357 2.93966i −0.963254 0.229549i
\(165\) −3.92475 2.94306i −0.305541 0.229117i
\(166\) 12.8341 10.1351i 0.996123 0.786636i
\(167\) 11.5061 + 6.64303i 0.890367 + 0.514053i 0.874062 0.485814i \(-0.161477\pi\)
0.0163043 + 0.999867i \(0.494810\pi\)
\(168\) −1.58219 + 3.10910i −0.122069 + 0.239873i
\(169\) −11.0637 + 6.38764i −0.851056 + 0.491357i
\(170\) 0.541283 1.36005i 0.0415145 0.104311i
\(171\) 1.10062 2.00780i 0.0841667 0.153540i
\(172\) −0.694155 24.9119i −0.0529288 1.89952i
\(173\) −1.95118 + 7.28191i −0.148346 + 0.553633i 0.851238 + 0.524780i \(0.175852\pi\)
−0.999584 + 0.0288536i \(0.990814\pi\)
\(174\) 0.527281 + 21.0803i 0.0399731 + 1.59809i
\(175\) 2.19671 + 1.26827i 0.166056 + 0.0958723i
\(176\) −2.94964 8.97550i −0.222337 0.676554i
\(177\) −21.1390 8.48292i −1.58890 0.637615i
\(178\) −3.68114 + 4.93828i −0.275913 + 0.370140i
\(179\) 15.1045 15.1045i 1.12896 1.12896i 0.138617 0.990346i \(-0.455734\pi\)
0.990346 0.138617i \(-0.0442657\pi\)
\(180\) 5.33546 + 4.82676i 0.397682 + 0.359766i
\(181\) −3.08895 3.08895i −0.229600 0.229600i 0.582926 0.812525i \(-0.301908\pi\)
−0.812525 + 0.582926i \(0.801908\pi\)
\(182\) 0.737884 + 5.05922i 0.0546956 + 0.375014i
\(183\) 0.607151 + 0.773361i 0.0448819 + 0.0571685i
\(184\) −1.44478 1.72830i −0.106511 0.127412i
\(185\) 5.89808 10.2158i 0.433635 0.751078i
\(186\) −11.5069 2.77683i −0.843726 0.203607i
\(187\) −1.96931 0.527675i −0.144010 0.0385874i
\(188\) −3.61641 + 3.82373i −0.263754 + 0.278874i
\(189\) −3.65042 + 0.604609i −0.265529 + 0.0439788i
\(190\) 0.511912 + 1.18876i 0.0371380 + 0.0862416i
\(191\) 2.50481 + 4.33846i 0.181242 + 0.313920i 0.942304 0.334759i \(-0.108655\pi\)
−0.761062 + 0.648679i \(0.775322\pi\)
\(192\) 3.09889 + 13.5054i 0.223643 + 0.974671i
\(193\) −2.87512 + 4.97985i −0.206956 + 0.358457i −0.950754 0.309946i \(-0.899689\pi\)
0.743799 + 0.668404i \(0.233022\pi\)
\(194\) 8.13667 + 0.956120i 0.584179 + 0.0686454i
\(195\) 10.4690 + 1.26043i 0.749697 + 0.0902615i
\(196\) −12.6321 3.01030i −0.902294 0.215022i
\(197\) −0.515447 + 0.515447i −0.0367240 + 0.0367240i −0.725230 0.688506i \(-0.758267\pi\)
0.688506 + 0.725230i \(0.258267\pi\)
\(198\) 5.80950 8.16499i 0.412863 0.580261i
\(199\) −21.6583 −1.53532 −0.767659 0.640858i \(-0.778579\pi\)
−0.767659 + 0.640858i \(0.778579\pi\)
\(200\) 9.92526 1.73119i 0.701822 0.122414i
\(201\) −11.4764 4.60541i −0.809486 0.324840i
\(202\) −10.3552 + 8.17746i −0.728588 + 0.575364i
\(203\) 5.92130 1.58661i 0.415594 0.111358i
\(204\) 2.80498 + 1.03588i 0.196388 + 0.0725258i
\(205\) 7.34407 + 1.96784i 0.512932 + 0.137440i
\(206\) −2.26085 5.25014i −0.157521 0.365794i
\(207\) 0.567107 2.32101i 0.0394166 0.161321i
\(208\) 15.1371 + 13.5378i 1.04957 + 0.938680i
\(209\) 1.56118 0.901345i 0.107989 0.0623473i
\(210\) 1.00018 1.83696i 0.0690189 0.126762i
\(211\) 2.24771 0.602272i 0.154739 0.0414621i −0.180618 0.983553i \(-0.557810\pi\)
0.335357 + 0.942091i \(0.391143\pi\)
\(212\) 22.0700 + 11.9351i 1.51577 + 0.819708i
\(213\) 3.15424 4.20637i 0.216125 0.288216i
\(214\) 15.6683 2.28521i 1.07106 0.156214i
\(215\) 14.9421i 1.01904i
\(216\) −9.58414 + 11.1420i −0.652118 + 0.758118i
\(217\) 3.44121i 0.233604i
\(218\) −2.38267 16.3365i −0.161375 1.10645i
\(219\) −12.1386 + 16.1876i −0.820253 + 1.09386i
\(220\) 1.61792 + 5.42856i 0.109080 + 0.365994i
\(221\) 4.23299 1.13423i 0.284742 0.0762963i
\(222\) 21.1627 + 11.5226i 1.42035 + 0.773344i
\(223\) −16.3604 + 9.44569i −1.09557 + 0.632530i −0.935055 0.354502i \(-0.884650\pi\)
−0.160520 + 0.987033i \(0.551317\pi\)
\(224\) 3.60529 1.79676i 0.240889 0.120051i
\(225\) 7.72190 + 7.38706i 0.514793 + 0.492470i
\(226\) 10.0557 4.33028i 0.668898 0.288046i
\(227\) 7.88169 + 2.11189i 0.523126 + 0.140171i 0.510712 0.859752i \(-0.329382\pi\)
0.0124139 + 0.999923i \(0.496048\pi\)
\(228\) −2.40140 + 1.10609i −0.159037 + 0.0732525i
\(229\) −7.31287 + 1.95948i −0.483248 + 0.129486i −0.492215 0.870474i \(-0.663813\pi\)
0.00896646 + 0.999960i \(0.497146\pi\)
\(230\) 0.837040 + 1.05995i 0.0551928 + 0.0698911i
\(231\) −2.70361 1.08494i −0.177884 0.0713836i
\(232\) 14.0028 19.9197i 0.919332 1.30779i
\(233\) 6.77947 0.444138 0.222069 0.975031i \(-0.428719\pi\)
0.222069 + 0.975031i \(0.428719\pi\)
\(234\) −2.03917 + 21.4429i −0.133305 + 1.40176i
\(235\) 2.23129 2.23129i 0.145553 0.145553i
\(236\) 13.7800 + 22.4024i 0.896999 + 1.45827i
\(237\) 1.67177 + 0.201276i 0.108593 + 0.0130743i
\(238\) 0.101448 0.863328i 0.00657587 0.0559613i
\(239\) 9.48431 16.4273i 0.613489 1.06259i −0.377159 0.926149i \(-0.623099\pi\)
0.990648 0.136445i \(-0.0435677\pi\)
\(240\) −1.63172 8.14599i −0.105327 0.525822i
\(241\) 0.0512556 + 0.0887774i 0.00330167 + 0.00571865i 0.867672 0.497138i \(-0.165616\pi\)
−0.864370 + 0.502857i \(0.832282\pi\)
\(242\) −7.04166 + 3.03233i −0.452655 + 0.194926i
\(243\) −15.5440 1.17587i −0.997151 0.0754319i
\(244\) −0.0316228 1.13488i −0.00202444 0.0726535i
\(245\) 7.52056 + 2.01513i 0.480471 + 0.128742i
\(246\) −3.64336 + 15.0977i −0.232292 + 0.962596i
\(247\) −1.93742 + 3.35571i −0.123275 + 0.213519i
\(248\) 8.76653 + 10.4868i 0.556675 + 0.665915i
\(249\) −12.3681 15.7539i −0.783794 0.998360i
\(250\) −14.3678 + 2.09553i −0.908699 + 0.132533i
\(251\) −6.59142 6.59142i −0.416047 0.416047i 0.467792 0.883839i \(-0.345050\pi\)
−0.883839 + 0.467792i \(0.845050\pi\)
\(252\) 3.80232 + 1.94862i 0.239524 + 0.122752i
\(253\) 1.33015 1.33015i 0.0836258 0.0836258i
\(254\) −8.18252 6.09950i −0.513417 0.382716i
\(255\) −1.66382 0.667677i −0.104192 0.0418115i
\(256\) 6.40958 14.6601i 0.400599 0.916254i
\(257\) −14.3072 8.26024i −0.892456 0.515260i −0.0177109 0.999843i \(-0.505638\pi\)
−0.874745 + 0.484583i \(0.838971\pi\)
\(258\) −30.5130 + 0.763223i −1.89966 + 0.0475162i
\(259\) 1.81304 6.76637i 0.112657 0.420442i
\(260\) −8.84606 8.36645i −0.548609 0.518865i
\(261\) 25.8197 0.572217i 1.59820 0.0354194i
\(262\) −7.93491 3.15800i −0.490220 0.195102i
\(263\) −22.2913 + 12.8699i −1.37454 + 0.793593i −0.991496 0.130136i \(-0.958458\pi\)
−0.383047 + 0.923729i \(0.625125\pi\)
\(264\) −11.0029 + 3.58122i −0.677184 + 0.220409i
\(265\) −13.0279 7.52167i −0.800298 0.462052i
\(266\) 0.476346 + 0.603201i 0.0292067 + 0.0369847i
\(267\) 6.03526 + 4.52567i 0.369352 + 0.276967i
\(268\) 7.48119 + 12.1624i 0.456987 + 0.742934i
\(269\) −4.62506 4.62506i −0.281995 0.281995i 0.551909 0.833904i \(-0.313899\pi\)
−0.833904 + 0.551909i \(0.813899\pi\)
\(270\) 5.93015 6.51770i 0.360897 0.396655i
\(271\) 6.13012i 0.372378i −0.982514 0.186189i \(-0.940386\pi\)
0.982514 0.186189i \(-0.0596137\pi\)
\(272\) −1.89019 2.88937i −0.114610 0.175194i
\(273\) 6.19880 0.886060i 0.375168 0.0536268i
\(274\) −7.65431 0.899439i −0.462414 0.0543371i
\(275\) 2.17756 + 8.12675i 0.131312 + 0.490062i
\(276\) −2.12175 + 1.76345i −0.127715 + 0.106147i
\(277\) −0.185077 + 0.690716i −0.0111202 + 0.0415011i −0.971263 0.238009i \(-0.923505\pi\)
0.960143 + 0.279510i \(0.0901720\pi\)
\(278\) 19.5605 + 7.78483i 1.17316 + 0.466903i
\(279\) −3.44105 + 14.0833i −0.206010 + 0.843143i
\(280\) −2.19077 + 1.01665i −0.130924 + 0.0607565i
\(281\) −5.17559 8.96438i −0.308750 0.534770i 0.669339 0.742957i \(-0.266577\pi\)
−0.978089 + 0.208187i \(0.933244\pi\)
\(282\) 4.67045 + 4.44251i 0.278121 + 0.264548i
\(283\) −6.79689 25.3663i −0.404033 1.50787i −0.805832 0.592144i \(-0.798282\pi\)
0.401799 0.915728i \(-0.368385\pi\)
\(284\) −5.81810 + 1.73402i −0.345241 + 0.102895i
\(285\) 1.45771 0.622811i 0.0863471 0.0368921i
\(286\) −10.1352 + 13.5965i −0.599309 + 0.803978i
\(287\) 4.51507 0.266516
\(288\) 16.5515 3.74820i 0.975304 0.220865i
\(289\) 16.2549 0.956172
\(290\) −8.72501 + 11.7047i −0.512350 + 0.687322i
\(291\) 1.19939 9.96197i 0.0703097 0.583981i
\(292\) 22.3901 6.67312i 1.31028 0.390515i
\(293\) −5.21478 19.4618i −0.304651 1.13697i −0.933246 0.359239i \(-0.883036\pi\)
0.628595 0.777733i \(-0.283630\pi\)
\(294\) −3.73092 + 15.4605i −0.217592 + 0.901677i
\(295\) −7.88465 13.6566i −0.459062 0.795119i
\(296\) −11.7123 25.2388i −0.680765 1.46697i
\(297\) −9.97972 7.14362i −0.579082 0.414515i
\(298\) −15.1656 6.03573i −0.878520 0.349640i
\(299\) −1.04651 + 3.90564i −0.0605215 + 0.225869i
\(300\) −2.08562 12.1619i −0.120413 0.702168i
\(301\) 2.29657 + 8.57090i 0.132372 + 0.494018i
\(302\) −13.4746 1.58337i −0.775376 0.0911125i
\(303\) 9.97913 + 12.7109i 0.573286 + 0.730225i
\(304\) 2.98830 + 0.624713i 0.171391 + 0.0358297i
\(305\) 0.680700i 0.0389768i
\(306\) 1.27847 3.43176i 0.0730851 0.196181i
\(307\) −5.92691 5.92691i −0.338267 0.338267i 0.517448 0.855715i \(-0.326882\pi\)
−0.855715 + 0.517448i \(0.826882\pi\)
\(308\) 1.76241 + 2.86519i 0.100423 + 0.163260i
\(309\) −6.43794 + 2.75064i −0.366242 + 0.156478i
\(310\) −5.07893 6.43150i −0.288464 0.365284i
\(311\) 22.5904 + 13.0426i 1.28098 + 0.739576i 0.977028 0.213110i \(-0.0683592\pi\)
0.303956 + 0.952686i \(0.401692\pi\)
\(312\) 16.6332 18.4918i 0.941667 1.04689i
\(313\) 0.538716 0.311028i 0.0304500 0.0175803i −0.484698 0.874682i \(-0.661070\pi\)
0.515148 + 0.857101i \(0.327737\pi\)
\(314\) 14.3506 + 5.71135i 0.809850 + 0.322310i
\(315\) −2.24631 1.23137i −0.126565 0.0693798i
\(316\) −1.41261 1.33602i −0.0794655 0.0751570i
\(317\) −3.67189 + 13.7037i −0.206234 + 0.769675i 0.782836 + 0.622228i \(0.213772\pi\)
−0.989070 + 0.147447i \(0.952894\pi\)
\(318\) 14.6944 26.9883i 0.824023 1.51343i
\(319\) 17.6090 + 10.1666i 0.985916 + 0.569219i
\(320\) −4.08629 + 8.67920i −0.228430 + 0.485182i
\(321\) −2.74411 19.1976i −0.153161 1.07150i
\(322\) 0.643045 + 0.479345i 0.0358355 + 0.0267128i
\(323\) 0.465843 0.465843i 0.0259202 0.0259202i
\(324\) 13.6126 + 11.7770i 0.756256 + 0.654275i
\(325\) −12.7877 12.7877i −0.709333 0.709333i
\(326\) −20.7096 + 3.02049i −1.14700 + 0.167289i
\(327\) −20.0163 + 2.86114i −1.10690 + 0.158221i
\(328\) 13.7593 11.5022i 0.759733 0.635103i
\(329\) 0.936941 1.62283i 0.0516552 0.0894694i
\(330\) 6.65422 1.96259i 0.366303 0.108037i
\(331\) 10.3567 + 2.77508i 0.569257 + 0.152532i 0.531956 0.846772i \(-0.321457\pi\)
0.0373014 + 0.999304i \(0.488124\pi\)
\(332\) 0.644177 + 23.1183i 0.0353538 + 1.26878i
\(333\) 14.1860 25.8786i 0.777388 1.41814i
\(334\) −17.2573 + 7.43145i −0.944275 + 0.406631i
\(335\) −4.28061 7.41423i −0.233874 0.405082i
\(336\) −2.18799 4.42181i −0.119365 0.241230i
\(337\) −5.91237 + 10.2405i −0.322067 + 0.557837i −0.980914 0.194440i \(-0.937711\pi\)
0.658847 + 0.752277i \(0.271044\pi\)
\(338\) 2.10850 17.9435i 0.114687 0.975999i
\(339\) −5.26838 12.3308i −0.286139 0.669716i
\(340\) 1.08460 + 1.76326i 0.0588206 + 0.0956261i
\(341\) −8.07099 + 8.07099i −0.437069 + 0.437069i
\(342\) 1.34629 + 2.94495i 0.0727991 + 0.159245i
\(343\) 9.60823 0.518795
\(344\) 28.8332 + 20.2687i 1.55458 + 1.09281i
\(345\) 1.30108 1.02146i 0.0700481 0.0549934i
\(346\) −6.60746 8.36708i −0.355219 0.449817i
\(347\) −0.332138 + 0.0889961i −0.0178301 + 0.00477756i −0.267723 0.963496i \(-0.586271\pi\)
0.249893 + 0.968273i \(0.419605\pi\)
\(348\) −24.3476 17.2194i −1.30517 0.923054i
\(349\) 23.9142 + 6.40780i 1.28010 + 0.343001i 0.833892 0.551928i \(-0.186108\pi\)
0.446207 + 0.894930i \(0.352774\pi\)
\(350\) −3.29471 + 1.41879i −0.176110 + 0.0758377i
\(351\) 26.2548 + 2.57228i 1.40138 + 0.137298i
\(352\) 12.6700 + 4.24171i 0.675311 + 0.226084i
\(353\) −5.76381 + 3.32774i −0.306776 + 0.177117i −0.645483 0.763775i \(-0.723344\pi\)
0.338707 + 0.940892i \(0.390011\pi\)
\(354\) 27.4852 16.7987i 1.46082 0.892841i
\(355\) 3.51593 0.942090i 0.186606 0.0500010i
\(356\) −2.48795 8.34775i −0.131861 0.442430i
\(357\) −1.05700 0.127260i −0.0559423 0.00673530i
\(358\) 4.35984 + 29.8927i 0.230425 + 1.57988i
\(359\) 25.7733i 1.36026i −0.733091 0.680130i \(-0.761923\pi\)
0.733091 0.680130i \(-0.238077\pi\)
\(360\) −9.98242 + 1.97001i −0.526120 + 0.103828i
\(361\) 18.4175i 0.969341i
\(362\) 6.11321 0.891609i 0.321303 0.0468619i
\(363\) 3.68924 + 8.63478i 0.193635 + 0.453208i
\(364\) −6.36007 3.43944i −0.333358 0.180276i
\(365\) −13.5305 + 3.62550i −0.708221 + 0.189767i
\(366\) −1.39005 + 0.0347693i −0.0726589 + 0.00181742i
\(367\) −10.6689 + 6.15969i −0.556912 + 0.321533i −0.751905 0.659271i \(-0.770865\pi\)
0.194993 + 0.980805i \(0.437532\pi\)
\(368\) 3.18077 0.177398i 0.165809 0.00924753i
\(369\) 18.4781 + 4.51486i 0.961930 + 0.235034i
\(370\) 6.59808 + 15.3220i 0.343018 + 0.796553i
\(371\) −8.62898 2.31213i −0.447994 0.120040i
\(372\) 12.8742 10.7001i 0.667498 0.554776i
\(373\) 26.8045 7.18223i 1.38788 0.371882i 0.513904 0.857848i \(-0.328199\pi\)
0.873978 + 0.485966i \(0.161532\pi\)
\(374\) 2.26278 1.78691i 0.117006 0.0923990i
\(375\) 2.51634 + 17.6041i 0.129943 + 0.909073i
\(376\) −1.27892 7.33233i −0.0659555 0.378136i
\(377\) −43.7057 −2.25096
\(378\) 2.39982 4.65006i 0.123434 0.239173i
\(379\) −20.2758 + 20.2758i −1.04150 + 1.04150i −0.0423953 + 0.999101i \(0.513499\pi\)
−0.999101 + 0.0423953i \(0.986501\pi\)
\(380\) −1.78055 0.424315i −0.0913403 0.0217669i
\(381\) −7.49885 + 10.0002i −0.384178 + 0.512324i
\(382\) −7.03626 0.826813i −0.360006 0.0423035i
\(383\) −12.9618 + 22.4505i −0.662317 + 1.14717i 0.317689 + 0.948195i \(0.397093\pi\)
−0.980005 + 0.198971i \(0.936240\pi\)
\(384\) −17.9324 7.90123i −0.915108 0.403208i
\(385\) −1.00842 1.74663i −0.0513938 0.0890167i
\(386\) −3.21635 7.46897i −0.163708 0.380161i
\(387\) 0.828267 + 37.3732i 0.0421032 + 1.89979i
\(388\) −7.96128 + 8.41767i −0.404173 + 0.427342i
\(389\) 6.90667 + 1.85064i 0.350182 + 0.0938310i 0.429622 0.903009i \(-0.358647\pi\)
−0.0794404 + 0.996840i \(0.525313\pi\)
\(390\) −10.2776 + 10.8049i −0.520426 + 0.547129i
\(391\) 0.343731 0.595360i 0.0173832 0.0301086i
\(392\) 14.0900 11.7786i 0.711653 0.594911i
\(393\) −3.89541 + 9.70718i −0.196498 + 0.489662i
\(394\) −0.148781 1.02010i −0.00749548 0.0513919i
\(395\) 0.824310 + 0.824310i 0.0414756 + 0.0414756i
\(396\) 4.34766 + 13.4882i 0.218478 + 0.677810i
\(397\) −14.8178 + 14.8178i −0.743683 + 0.743683i −0.973285 0.229602i \(-0.926258\pi\)
0.229602 + 0.973285i \(0.426258\pi\)
\(398\) 18.3058 24.5574i 0.917587 1.23095i
\(399\) 0.740427 0.581296i 0.0370677 0.0291012i
\(400\) −6.42600 + 12.7170i −0.321300 + 0.635850i
\(401\) −4.39082 2.53504i −0.219267 0.126594i 0.386344 0.922355i \(-0.373738\pi\)
−0.605611 + 0.795761i \(0.707071\pi\)
\(402\) 14.9218 9.12007i 0.744234 0.454868i
\(403\) 6.34997 23.6984i 0.316314 1.18050i
\(404\) −0.519752 18.6529i −0.0258586 0.928017i
\(405\) −7.96180 7.28564i −0.395625 0.362026i
\(406\) −3.20575 + 8.05490i −0.159099 + 0.399758i
\(407\) 20.1221 11.6175i 0.997416 0.575858i
\(408\) −3.54533 + 2.30491i −0.175520 + 0.114110i
\(409\) 20.8923 + 12.0622i 1.03306 + 0.596436i 0.917859 0.396906i \(-0.129916\pi\)
0.115199 + 0.993342i \(0.463250\pi\)
\(410\) −8.43850 + 6.66386i −0.416748 + 0.329105i
\(411\) −1.12829 + 9.37140i −0.0556545 + 0.462257i
\(412\) 7.86378 + 1.87398i 0.387421 + 0.0923245i
\(413\) −6.62169 6.62169i −0.325832 0.325832i
\(414\) 2.15236 + 2.60475i 0.105783 + 0.128017i
\(415\) 13.8663i 0.680670i
\(416\) −28.1439 + 5.72095i −1.37987 + 0.280493i
\(417\) 9.60265 23.9293i 0.470244 1.17182i
\(418\) −0.297525 + 2.53197i −0.0145524 + 0.123843i
\(419\) 5.15499 + 19.2387i 0.251838 + 0.939871i 0.969822 + 0.243812i \(0.0783981\pi\)
−0.717985 + 0.696059i \(0.754935\pi\)
\(420\) 1.23749 + 2.68667i 0.0603832 + 0.131096i
\(421\) −8.46180 + 31.5799i −0.412403 + 1.53911i 0.377578 + 0.925978i \(0.376757\pi\)
−0.789981 + 0.613131i \(0.789910\pi\)
\(422\) −1.21689 + 3.05762i −0.0592375 + 0.148843i
\(423\) 5.45722 5.70459i 0.265339 0.277367i
\(424\) −32.1864 + 14.9364i −1.56311 + 0.725377i
\(425\) 1.53736 + 2.66279i 0.0745731 + 0.129164i
\(426\) 2.10342 + 7.13171i 0.101911 + 0.345532i
\(427\) 0.104622 + 0.390455i 0.00506302 + 0.0188954i
\(428\) −10.6519 + 19.6970i −0.514878 + 0.952092i
\(429\) 16.6168 + 12.4605i 0.802267 + 0.601597i
\(430\) −16.9421 12.6292i −0.817023 0.609033i
\(431\) −11.5413 −0.555923 −0.277962 0.960592i \(-0.589659\pi\)
−0.277962 + 0.960592i \(0.589659\pi\)
\(432\) −4.53281 20.2843i −0.218085 0.975930i
\(433\) 24.2215 1.16401 0.582006 0.813184i \(-0.302268\pi\)
0.582006 + 0.813184i \(0.302268\pi\)
\(434\) −3.90182 2.90854i −0.187293 0.139614i
\(435\) 14.3047 + 10.7267i 0.685859 + 0.514307i
\(436\) 20.5370 + 11.1061i 0.983546 + 0.531888i
\(437\) 0.157324 + 0.587143i 0.00752585 + 0.0280868i
\(438\) −8.09470 27.4453i −0.386780 1.31139i
\(439\) −4.47756 7.75537i −0.213702 0.370143i 0.739168 0.673521i \(-0.235219\pi\)
−0.952870 + 0.303378i \(0.901886\pi\)
\(440\) −7.52267 2.75378i −0.358629 0.131281i
\(441\) 18.9221 + 4.62336i 0.901054 + 0.220160i
\(442\) −2.29171 + 5.75825i −0.109006 + 0.273892i
\(443\) 5.29309 19.7541i 0.251482 0.938545i −0.718531 0.695495i \(-0.755185\pi\)
0.970014 0.243051i \(-0.0781481\pi\)
\(444\) −30.9518 + 14.2565i −1.46891 + 0.676582i
\(445\) 1.35170 + 5.04462i 0.0640768 + 0.239138i
\(446\) 3.11793 26.5339i 0.147638 1.25642i
\(447\) −7.44512 + 18.5529i −0.352142 + 0.877520i
\(448\) −1.00995 + 5.60651i −0.0477158 + 0.264883i
\(449\) 2.34595i 0.110712i −0.998467 0.0553561i \(-0.982371\pi\)
0.998467 0.0553561i \(-0.0176294\pi\)
\(450\) −14.9025 + 2.51190i −0.702508 + 0.118412i
\(451\) 10.5896 + 10.5896i 0.498646 + 0.498646i
\(452\) −3.58929 + 15.0617i −0.168826 + 0.708444i
\(453\) −1.98624 + 16.4974i −0.0933215 + 0.775113i
\(454\) −9.05624 + 7.15169i −0.425031 + 0.335645i
\(455\) 3.75436 + 2.16758i 0.176007 + 0.101618i
\(456\) 0.775539 3.65771i 0.0363180 0.171288i
\(457\) 24.1000 13.9141i 1.12735 0.650876i 0.184084 0.982911i \(-0.441068\pi\)
0.943267 + 0.332034i \(0.107735\pi\)
\(458\) 3.95914 9.94789i 0.184998 0.464834i
\(459\) −4.19855 1.57777i −0.195972 0.0736438i
\(460\) −1.90930 + 0.0532015i −0.0890216 + 0.00248053i
\(461\) 5.15168 19.2263i 0.239937 0.895459i −0.735923 0.677065i \(-0.763252\pi\)
0.975861 0.218394i \(-0.0700817\pi\)
\(462\) 3.51527 2.14850i 0.163545 0.0999571i
\(463\) 21.3818 + 12.3448i 0.993699 + 0.573712i 0.906378 0.422468i \(-0.138836\pi\)
0.0873209 + 0.996180i \(0.472169\pi\)
\(464\) 10.7507 + 32.7135i 0.499089 + 1.51868i
\(465\) −7.89463 + 6.19793i −0.366105 + 0.287422i
\(466\) −5.73007 + 7.68693i −0.265440 + 0.356090i
\(467\) −14.0708 + 14.0708i −0.651120 + 0.651120i −0.953263 0.302143i \(-0.902298\pi\)
0.302143 + 0.953263i \(0.402298\pi\)
\(468\) −22.5896 20.4358i −1.04420 0.944646i
\(469\) −3.59494 3.59494i −0.165999 0.165999i
\(470\) 0.644050 + 4.41586i 0.0297078 + 0.203688i
\(471\) 7.04500 17.5558i 0.324616 0.808928i
\(472\) −37.0480 3.31026i −1.70527 0.152367i
\(473\) −14.7158 + 25.4885i −0.676633 + 1.17196i
\(474\) −1.64121 + 1.72542i −0.0753832 + 0.0792510i
\(475\) −2.62604 0.703645i −0.120491 0.0322855i
\(476\) 0.893143 + 0.844719i 0.0409371 + 0.0387176i
\(477\) −33.0024 18.0911i −1.51108 0.828332i
\(478\) 10.6099 + 24.6383i 0.485287 + 1.12693i
\(479\) −12.8097 22.1870i −0.585288 1.01375i −0.994839 0.101462i \(-0.967648\pi\)
0.409551 0.912287i \(-0.365685\pi\)
\(480\) 10.6155 + 5.03493i 0.484529 + 0.229812i
\(481\) −24.9716 + 43.2521i −1.13861 + 1.97212i
\(482\) −0.143982 0.0169190i −0.00655821 0.000770639i
\(483\) 0.589317 0.785890i 0.0268148 0.0357592i
\(484\) 2.51345 10.5472i 0.114248 0.479416i
\(485\) 4.91202 4.91202i 0.223043 0.223043i
\(486\) 14.4712 16.6308i 0.656428 0.754389i
\(487\) 24.8039 1.12397 0.561986 0.827147i \(-0.310038\pi\)
0.561986 + 0.827147i \(0.310038\pi\)
\(488\) 1.31352 + 0.923357i 0.0594602 + 0.0417984i
\(489\) 3.62704 + 25.3745i 0.164020 + 1.14747i
\(490\) −8.64129 + 6.82400i −0.390374 + 0.308277i
\(491\) 36.3890 9.75039i 1.64221 0.440029i 0.684793 0.728737i \(-0.259892\pi\)
0.957417 + 0.288708i \(0.0932257\pi\)
\(492\) −14.0392 16.8918i −0.632936 0.761539i
\(493\) 7.17764 + 1.92324i 0.323265 + 0.0866185i
\(494\) −2.16736 5.03303i −0.0975142 0.226447i
\(495\) −2.38044 8.15654i −0.106993 0.366609i
\(496\) −19.3001 + 1.07641i −0.866599 + 0.0483320i
\(497\) 1.87197 1.08078i 0.0839692 0.0484796i
\(498\) 28.3162 0.708273i 1.26888 0.0317385i
\(499\) −20.1205 + 5.39127i −0.900717 + 0.241346i −0.679324 0.733838i \(-0.737727\pi\)
−0.221393 + 0.975185i \(0.571060\pi\)
\(500\) 9.76775 18.0621i 0.436827 0.807763i
\(501\) 9.04137 + 21.1616i 0.403939 + 0.945430i
\(502\) 13.0448 1.90258i 0.582219 0.0849164i
\(503\) 4.55397i 0.203051i −0.994833 0.101526i \(-0.967628\pi\)
0.994833 0.101526i \(-0.0323724\pi\)
\(504\) −5.42321 + 2.66429i −0.241569 + 0.118677i
\(505\) 11.1880i 0.497858i
\(506\) 0.383941 + 2.63245i 0.0170683 + 0.117027i
\(507\) −21.9688 2.64498i −0.975668 0.117468i
\(508\) 13.8319 4.12243i 0.613690 0.182903i
\(509\) −7.44927 + 1.99603i −0.330183 + 0.0884723i −0.420102 0.907477i \(-0.638006\pi\)
0.0899191 + 0.995949i \(0.471339\pi\)
\(510\) 2.16332 1.32220i 0.0957934 0.0585479i
\(511\) −7.20399 + 4.15923i −0.318686 + 0.183993i
\(512\) 11.2049 + 19.6583i 0.495192 + 0.868783i
\(513\) 3.61149 1.63858i 0.159451 0.0723451i
\(514\) 21.4584 9.24059i 0.946491 0.407585i
\(515\) −4.68172 1.25446i −0.206301 0.0552782i
\(516\) 24.9245 35.2424i 1.09724 1.55146i
\(517\) 6.00367 1.60868i 0.264041 0.0707496i
\(518\) 6.13967 + 7.77471i 0.269761 + 0.341601i
\(519\) −10.2706 + 8.06322i −0.450828 + 0.353936i
\(520\) 16.9631 2.95875i 0.743880 0.129750i
\(521\) 41.5553 1.82057 0.910286 0.413980i \(-0.135862\pi\)
0.910286 + 0.413980i \(0.135862\pi\)
\(522\) −21.1742 + 29.7594i −0.926770 + 1.30253i
\(523\) 7.94661 7.94661i 0.347481 0.347481i −0.511689 0.859171i \(-0.670980\pi\)
0.859171 + 0.511689i \(0.170980\pi\)
\(524\) 10.2874 6.32786i 0.449405 0.276434i
\(525\) 1.72615 + 4.04011i 0.0753356 + 0.176325i
\(526\) 4.24823 36.1529i 0.185232 1.57634i
\(527\) −2.08567 + 3.61248i −0.0908531 + 0.157362i
\(528\) 5.23920 15.5026i 0.228007 0.674664i
\(529\) −11.1829 19.3693i −0.486211 0.842142i
\(530\) 19.5398 8.41436i 0.848753 0.365497i
\(531\) −20.4781 33.7209i −0.888675 1.46336i
\(532\) −1.08655 + 0.0302762i −0.0471081 + 0.00131264i
\(533\) −31.0937 8.33153i −1.34682 0.360879i
\(534\) −10.2325 + 3.01796i −0.442804 + 0.130600i
\(535\) 6.71295 11.6272i 0.290226 0.502686i
\(536\) −20.1135 1.79715i −0.868771 0.0776252i
\(537\) 36.6260 5.23535i 1.58053 0.225922i
\(538\) 9.15328 1.33500i 0.394626 0.0575560i
\(539\) 10.8441 + 10.8441i 0.467089 + 0.467089i
\(540\) 2.37791 + 12.2327i 0.102329 + 0.526413i
\(541\) 23.7454 23.7454i 1.02090 1.02090i 0.0211185 0.999777i \(-0.493277\pi\)
0.999777 0.0211185i \(-0.00672274\pi\)
\(542\) 6.95065 + 5.18122i 0.298556 + 0.222553i
\(543\) −1.07066 7.49021i −0.0459462 0.321436i
\(544\) 4.87373 + 0.298923i 0.208959 + 0.0128162i
\(545\) −12.1230 6.99924i −0.519294 0.299814i
\(546\) −4.23461 + 7.77743i −0.181225 + 0.332843i
\(547\) −0.183171 + 0.683605i −0.00783185 + 0.0292288i −0.969731 0.244175i \(-0.921483\pi\)
0.961899 + 0.273404i \(0.0881495\pi\)
\(548\) 7.48932 7.91865i 0.319928 0.338268i
\(549\) 0.0377324 + 1.70257i 0.00161038 + 0.0726638i
\(550\) −11.0550 4.39977i −0.471388 0.187607i
\(551\) −5.69010 + 3.28518i −0.242406 + 0.139953i
\(552\) −0.206167 3.89624i −0.00877504 0.165835i
\(553\) 0.599525 + 0.346136i 0.0254944 + 0.0147192i
\(554\) −0.626742 0.793649i −0.0266277 0.0337189i
\(555\) 18.7885 8.02746i 0.797527 0.340747i
\(556\) −25.3595 + 15.5989i −1.07548 + 0.661541i
\(557\) −11.0432 11.0432i −0.467916 0.467916i 0.433322 0.901239i \(-0.357341\pi\)
−0.901239 + 0.433322i \(0.857341\pi\)
\(558\) −13.0599 15.8049i −0.552872 0.669076i
\(559\) 63.2626i 2.67572i
\(560\) 0.698926 3.34329i 0.0295350 0.141280i
\(561\) −2.18061 2.77755i −0.0920652 0.117268i
\(562\) 14.5387 + 1.70841i 0.613280 + 0.0720650i
\(563\) −11.6019 43.2988i −0.488961 1.82483i −0.561522 0.827462i \(-0.689784\pi\)
0.0725616 0.997364i \(-0.476883\pi\)
\(564\) −8.98466 + 1.54076i −0.378323 + 0.0648778i
\(565\) 2.40271 8.96703i 0.101083 0.377246i
\(566\) 34.5065 + 13.7332i 1.45042 + 0.577248i
\(567\) −5.68674 2.95539i −0.238820 0.124115i
\(568\) 2.95138 8.06248i 0.123837 0.338294i
\(569\) 12.4715 + 21.6013i 0.522833 + 0.905574i 0.999647 + 0.0265695i \(0.00845831\pi\)
−0.476814 + 0.879004i \(0.658208\pi\)
\(570\) −0.525889 + 2.17923i −0.0220271 + 0.0912779i
\(571\) 9.27714 + 34.6227i 0.388236 + 1.44892i 0.833002 + 0.553270i \(0.186620\pi\)
−0.444766 + 0.895647i \(0.646713\pi\)
\(572\) −6.85005 22.9837i −0.286415 0.960998i
\(573\) −1.03719 + 8.61470i −0.0433291 + 0.359884i
\(574\) −3.81617 + 5.11942i −0.159284 + 0.213681i
\(575\) −2.83695 −0.118309
\(576\) −9.73953 + 21.9349i −0.405814 + 0.913956i
\(577\) −20.2125 −0.841457 −0.420729 0.907187i \(-0.638226\pi\)
−0.420729 + 0.907187i \(0.638226\pi\)
\(578\) −13.7388 + 18.4307i −0.571458 + 0.766616i
\(579\) −9.15877 + 3.91312i −0.380626 + 0.162624i
\(580\) −5.89693 19.7858i −0.244856 0.821559i
\(581\) −2.13122 7.95381i −0.0884178 0.329980i
\(582\) 10.2817 + 9.77987i 0.426189 + 0.405389i
\(583\) −14.8155 25.6612i −0.613596 1.06278i
\(584\) −11.3580 + 31.0273i −0.469996 + 1.28392i
\(585\) 13.1974 + 12.6251i 0.545644 + 0.521983i
\(586\) 26.4744 + 10.5365i 1.09365 + 0.435259i
\(587\) 0.425823 1.58919i 0.0175756 0.0655930i −0.956581 0.291466i \(-0.905857\pi\)
0.974157 + 0.225873i \(0.0725235\pi\)
\(588\) −14.3766 17.2977i −0.592880 0.713345i
\(589\) −0.954602 3.56262i −0.0393337 0.146795i
\(590\) 22.1488 + 2.60265i 0.911851 + 0.107149i
\(591\) −1.24988 + 0.178658i −0.0514131 + 0.00734902i
\(592\) 38.5164 + 8.05198i 1.58302 + 0.330934i
\(593\) 35.7642i 1.46866i 0.678793 + 0.734329i \(0.262503\pi\)
−0.678793 + 0.734329i \(0.737497\pi\)
\(594\) 16.5348 5.27769i 0.678430 0.216546i
\(595\) −0.521182 0.521182i −0.0213664 0.0213664i
\(596\) 19.6617 12.0941i 0.805375 0.495395i
\(597\) −30.0125 22.5055i −1.22833 0.921090i
\(598\) −3.54390 4.48768i −0.144921 0.183515i
\(599\) −24.2410 13.9955i −0.990460 0.571842i −0.0850481 0.996377i \(-0.527104\pi\)
−0.905412 + 0.424535i \(0.860438\pi\)
\(600\) 15.5526 + 7.91455i 0.634932 + 0.323110i
\(601\) −9.43704 + 5.44848i −0.384945 + 0.222248i −0.679968 0.733242i \(-0.738006\pi\)
0.295023 + 0.955490i \(0.404673\pi\)
\(602\) −11.6592 4.64023i −0.475194 0.189122i
\(603\) −11.1176 18.3072i −0.452745 0.745527i
\(604\) 13.1841 13.9399i 0.536455 0.567208i
\(605\) −1.68253 + 6.27927i −0.0684044 + 0.255289i
\(606\) −22.8468 + 0.571467i −0.928087 + 0.0232143i
\(607\) −36.6954 21.1861i −1.48942 0.859916i −0.489492 0.872008i \(-0.662818\pi\)
−0.999927 + 0.0120914i \(0.996151\pi\)
\(608\) −3.23407 + 2.86028i −0.131159 + 0.116000i
\(609\) 9.85397 + 3.95432i 0.399303 + 0.160237i
\(610\) −0.771814 0.575333i −0.0312498 0.0232946i
\(611\) −9.44695 + 9.44695i −0.382183 + 0.382183i
\(612\) 2.81054 + 4.35014i 0.113609 + 0.175844i
\(613\) 11.5060 + 11.5060i 0.464722 + 0.464722i 0.900200 0.435477i \(-0.143420\pi\)
−0.435477 + 0.900200i \(0.643420\pi\)
\(614\) 11.7297 1.71077i 0.473373 0.0690412i
\(615\) 8.13205 + 10.3582i 0.327916 + 0.417684i
\(616\) −4.73831 0.423371i −0.190912 0.0170581i
\(617\) −0.520100 + 0.900840i −0.0209384 + 0.0362665i −0.876305 0.481757i \(-0.839999\pi\)
0.855366 + 0.518024i \(0.173332\pi\)
\(618\) 2.32258 9.62454i 0.0934280 0.387156i
\(619\) −17.6575 4.73131i −0.709714 0.190167i −0.114136 0.993465i \(-0.536410\pi\)
−0.595578 + 0.803298i \(0.703077\pi\)
\(620\) 11.5851 0.322812i 0.465270 0.0129645i
\(621\) 3.19765 2.62699i 0.128317 0.105418i
\(622\) −33.8820 + 14.5905i −1.35854 + 0.585026i
\(623\) 1.55069 + 2.68588i 0.0621272 + 0.107608i
\(624\) 6.90847 + 34.4889i 0.276560 + 1.38066i
\(625\) 2.74947 4.76221i 0.109979 0.190489i
\(626\) −0.102667 + 0.873708i −0.00410341 + 0.0349204i
\(627\) 3.09996 + 0.373227i 0.123801 + 0.0149052i
\(628\) −18.6051 + 11.4442i −0.742423 + 0.456672i
\(629\) 6.00428 6.00428i 0.239406 0.239406i
\(630\) 3.29479 1.50622i 0.131268 0.0600094i
\(631\) 18.9729 0.755301 0.377650 0.925948i \(-0.376732\pi\)
0.377650 + 0.925948i \(0.376732\pi\)
\(632\) 2.70880 0.472476i 0.107750 0.0187941i
\(633\) 3.74054 + 1.50105i 0.148673 + 0.0596614i
\(634\) −12.4344 15.7458i −0.493835 0.625347i
\(635\) −8.35872 + 2.23971i −0.331706 + 0.0888803i
\(636\) 18.1809 + 39.4721i 0.720920 + 1.56517i
\(637\) −31.8409 8.53175i −1.26158 0.338040i
\(638\) −26.4107 + 11.3732i −1.04561 + 0.450268i
\(639\) 8.74183 2.55125i 0.345821 0.100926i
\(640\) −6.38718 11.9690i −0.252475 0.473116i
\(641\) 6.62975 3.82769i 0.261859 0.151185i −0.363323 0.931663i \(-0.618358\pi\)
0.625182 + 0.780479i \(0.285025\pi\)
\(642\) 24.0866 + 13.1145i 0.950621 + 0.517589i
\(643\) −18.3287 + 4.91116i −0.722813 + 0.193677i −0.601427 0.798928i \(-0.705401\pi\)
−0.121387 + 0.992605i \(0.538734\pi\)
\(644\) −1.08701 + 0.323972i −0.0428343 + 0.0127663i
\(645\) −15.5266 + 20.7056i −0.611359 + 0.815284i
\(646\) 0.134463 + 0.921931i 0.00529038 + 0.0362729i
\(647\) 1.59451i 0.0626865i −0.999509 0.0313432i \(-0.990022\pi\)
0.999509 0.0313432i \(-0.00997849\pi\)
\(648\) −24.8588 + 5.48073i −0.976547 + 0.215303i
\(649\) 31.0610i 1.21925i
\(650\) 25.3076 3.69110i 0.992645 0.144777i
\(651\) −3.57582 + 4.76857i −0.140147 + 0.186895i
\(652\) 14.0792 26.0346i 0.551382 1.01959i
\(653\) −1.34296 + 0.359845i −0.0525540 + 0.0140818i −0.285000 0.958527i \(-0.591994\pi\)
0.232446 + 0.972609i \(0.425327\pi\)
\(654\) 13.6738 25.1138i 0.534688 0.982027i
\(655\) −6.27121 + 3.62069i −0.245037 + 0.141472i
\(656\) 1.41231 + 25.3228i 0.0551413 + 0.988691i
\(657\) −33.6417 + 9.81813i −1.31249 + 0.383042i
\(658\) 1.04814 + 2.43398i 0.0408607 + 0.0948865i
\(659\) 28.0586 + 7.51827i 1.09301 + 0.292870i 0.759914 0.650024i \(-0.225241\pi\)
0.333093 + 0.942894i \(0.391908\pi\)
\(660\) −3.39892 + 9.20371i −0.132303 + 0.358254i
\(661\) −0.302749 + 0.0811214i −0.0117756 + 0.00315526i −0.264702 0.964330i \(-0.585274\pi\)
0.252926 + 0.967486i \(0.418607\pi\)
\(662\) −11.9001 + 9.39749i −0.462511 + 0.365244i
\(663\) 7.04435 + 2.82684i 0.273580 + 0.109786i
\(664\) −26.7572 18.8094i −1.03838 0.729945i
\(665\) 0.651712 0.0252723
\(666\) 17.3525 + 37.9577i 0.672394 + 1.47083i
\(667\) −4.84807 + 4.84807i −0.187718 + 0.187718i
\(668\) 6.15980 25.8483i 0.238330 1.00010i
\(669\) −32.4862 3.91125i −1.25599 0.151218i
\(670\) 12.0246 + 1.41299i 0.464553 + 0.0545884i
\(671\) −0.670391 + 1.16115i −0.0258802 + 0.0448257i
\(672\) 6.86299 + 1.25649i 0.264746 + 0.0484703i
\(673\) −14.6918 25.4470i −0.566329 0.980911i −0.996925 0.0783659i \(-0.975030\pi\)
0.430595 0.902545i \(-0.358304\pi\)
\(674\) −6.61407 15.3591i −0.254764 0.591612i
\(675\) 3.02442 + 18.2604i 0.116410 + 0.702843i
\(676\) 18.5632 + 17.5567i 0.713969 + 0.675259i
\(677\) −7.06366 1.89270i −0.271478 0.0727424i 0.120511 0.992712i \(-0.461547\pi\)
−0.391990 + 0.919969i \(0.628213\pi\)
\(678\) 18.4342 + 4.44851i 0.707960 + 0.170844i
\(679\) 2.06261 3.57254i 0.0791556 0.137102i
\(680\) −2.91599 0.260545i −0.111823 0.00999145i
\(681\) 8.72736 + 11.1165i 0.334433 + 0.425985i
\(682\) −2.32965 15.9730i −0.0892069 0.611637i
\(683\) 20.6264 + 20.6264i 0.789247 + 0.789247i 0.981371 0.192123i \(-0.0615374\pi\)
−0.192123 + 0.981371i \(0.561537\pi\)
\(684\) −4.47704 0.962599i −0.171184 0.0368059i
\(685\) −4.62083 + 4.62083i −0.176553 + 0.176553i
\(686\) −8.12095 + 10.8943i −0.310059 + 0.415947i
\(687\) −12.1698 4.88363i −0.464305 0.186322i
\(688\) −47.3517 + 15.5613i −1.80527 + 0.593269i
\(689\) 55.1583 + 31.8456i 2.10136 + 1.21322i
\(690\) 0.0584950 + 2.33858i 0.00222687 + 0.0890283i
\(691\) −0.467582 + 1.74504i −0.0177876 + 0.0663844i −0.974249 0.225474i \(-0.927607\pi\)
0.956462 + 0.291858i \(0.0942736\pi\)
\(692\) 15.0717 0.419964i 0.572941 0.0159647i
\(693\) −2.61908 4.31279i −0.0994907 0.163829i
\(694\) 0.179817 0.451816i 0.00682577 0.0171507i
\(695\) 15.4593 8.92542i 0.586404 0.338560i
\(696\) 40.1030 13.0527i 1.52010 0.494760i
\(697\) 4.73979 + 2.73652i 0.179532 + 0.103653i
\(698\) −27.4780 + 21.6993i −1.04006 + 0.821330i
\(699\) 9.39449 + 7.04467i 0.355332 + 0.266454i
\(700\) 1.17601 4.93489i 0.0444491 0.186521i
\(701\) 31.2193 + 31.2193i 1.17914 + 1.17914i 0.979964 + 0.199174i \(0.0638260\pi\)
0.199174 + 0.979964i \(0.436174\pi\)
\(702\) −25.1074 + 27.5950i −0.947617 + 1.04151i
\(703\) 7.50805i 0.283171i
\(704\) −15.5182 + 10.7807i −0.584865 + 0.406315i
\(705\) 5.41053 0.773384i 0.203772 0.0291273i
\(706\) 1.09845 9.34794i 0.0413408 0.351814i
\(707\) 1.71957 + 6.41751i 0.0646709 + 0.241355i
\(708\) −4.18350 + 45.3626i −0.157225 + 1.70483i
\(709\) −5.00387 + 18.6747i −0.187924 + 0.701344i 0.806061 + 0.591832i \(0.201595\pi\)
−0.993986 + 0.109511i \(0.965071\pi\)
\(710\) −1.90350 + 4.78281i −0.0714371 + 0.179496i
\(711\) 2.10746 + 2.01607i 0.0790359 + 0.0756087i
\(712\) 11.5680 + 4.23461i 0.433528 + 0.158699i
\(713\) −1.92438 3.33312i −0.0720686 0.124826i
\(714\) 1.03768 1.09092i 0.0388341 0.0408267i
\(715\) 3.72162 + 13.8893i 0.139181 + 0.519430i
\(716\) −37.5789 20.3222i −1.40439 0.759475i
\(717\) 30.2125 12.9084i 1.12831 0.482074i
\(718\) 29.2231 + 21.7838i 1.09060 + 0.812963i
\(719\) 5.23889 0.195378 0.0976889 0.995217i \(-0.468855\pi\)
0.0976889 + 0.995217i \(0.468855\pi\)
\(720\) 6.20352 12.9837i 0.231192 0.483872i
\(721\) −2.87828 −0.107193
\(722\) 20.8827 + 15.5666i 0.777175 + 0.579329i
\(723\) −0.0212238 + 0.176282i −0.000789323 + 0.00655599i
\(724\) −4.15598 + 7.68508i −0.154456 + 0.285614i
\(725\) −7.93665 29.6200i −0.294760 1.10006i
\(726\) −12.9088 3.11512i −0.479089 0.115613i
\(727\) 20.0812 + 34.7817i 0.744772 + 1.28998i 0.950301 + 0.311332i \(0.100775\pi\)
−0.205530 + 0.978651i \(0.565892\pi\)
\(728\) 9.27540 4.30435i 0.343769 0.159530i
\(729\) −20.3179 17.7815i −0.752516 0.658574i
\(730\) 7.32534 18.4060i 0.271123 0.681235i
\(731\) −2.78383 + 10.3894i −0.102964 + 0.384266i
\(732\) 1.13546 1.60550i 0.0419677 0.0593409i
\(733\) −12.3274 46.0065i −0.455324 1.69929i −0.687135 0.726530i \(-0.741132\pi\)
0.231811 0.972761i \(-0.425535\pi\)
\(734\) 2.03325 17.3032i 0.0750488 0.638672i
\(735\) 8.32747 + 10.6072i 0.307164 + 0.391251i
\(736\) −2.48727 + 3.75647i −0.0916821 + 0.138465i
\(737\) 16.8631i 0.621161i
\(738\) −20.7370 + 17.1354i −0.763340 + 0.630764i
\(739\) 9.18363 + 9.18363i 0.337825 + 0.337825i 0.855548 0.517723i \(-0.173220\pi\)
−0.517723 + 0.855548i \(0.673220\pi\)
\(740\) −22.9497 5.46903i −0.843646 0.201046i
\(741\) −6.17172 + 2.63689i −0.226724 + 0.0968686i
\(742\) 9.91489 7.82976i 0.363987 0.287440i
\(743\) −42.0760 24.2926i −1.54362 0.891208i −0.998606 0.0527792i \(-0.983192\pi\)
−0.545011 0.838429i \(-0.683475\pi\)
\(744\) 1.25096 + 23.6413i 0.0458626 + 0.866733i
\(745\) −11.9859 + 6.92004i −0.439128 + 0.253531i
\(746\) −14.5117 + 36.4628i −0.531313 + 1.33500i
\(747\) −0.768633 34.6824i −0.0281228 1.26896i
\(748\) 0.113575 + 4.07597i 0.00415270 + 0.149032i
\(749\) 2.06353 7.70120i 0.0753998 0.281396i
\(750\) −22.0873 12.0260i −0.806515 0.439127i
\(751\) 25.5639 + 14.7593i 0.932839 + 0.538575i 0.887708 0.460406i \(-0.152296\pi\)
0.0451310 + 0.998981i \(0.485629\pi\)
\(752\) 9.39475 + 4.74723i 0.342591 + 0.173114i
\(753\) −2.28464 15.9832i −0.0832571 0.582459i
\(754\) 36.9404 49.5559i 1.34529 1.80472i
\(755\) −8.13448 + 8.13448i −0.296044 + 0.296044i
\(756\) 3.24413 + 6.65131i 0.117988 + 0.241906i
\(757\) 30.3982 + 30.3982i 1.10484 + 1.10484i 0.993818 + 0.111022i \(0.0354123\pi\)
0.111022 + 0.993818i \(0.464588\pi\)
\(758\) −5.85250 40.1270i −0.212572 1.45748i
\(759\) 3.22540 0.461041i 0.117075 0.0167347i
\(760\) 1.98605 1.66025i 0.0720415 0.0602235i
\(761\) −2.97086 + 5.14568i −0.107694 + 0.186531i −0.914836 0.403827i \(-0.867680\pi\)
0.807142 + 0.590357i \(0.201013\pi\)
\(762\) −5.00064 16.9548i −0.181154 0.614209i
\(763\) −8.02963 2.15153i −0.290692 0.0778907i
\(764\) 6.88459 7.27926i 0.249076 0.263354i
\(765\) −1.61180 2.65412i −0.0582747 0.0959598i
\(766\) −14.5001 33.6721i −0.523911 1.21662i
\(767\) 33.3825 + 57.8201i 1.20537 + 2.08776i
\(768\) 24.1154 13.6545i 0.870191 0.492715i
\(769\) −6.00863 + 10.4073i −0.216677 + 0.375295i −0.953790 0.300474i \(-0.902855\pi\)
0.737113 + 0.675769i \(0.236188\pi\)
\(770\) 2.83275 + 0.332870i 0.102085 + 0.0119958i
\(771\) −11.2424 26.3132i −0.404887 0.947648i
\(772\) 11.1872 + 2.66597i 0.402636 + 0.0959504i
\(773\) 22.2746 22.2746i 0.801163