Properties

Label 144.2.u.a.11.1
Level $144$
Weight $2$
Character 144.11
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 11.1
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40455 - 0.165045i) q^{2} +(1.03912 + 1.38573i) q^{3} +(1.94552 + 0.463628i) q^{4} +(1.15827 + 0.310357i) q^{5} +(-1.23078 - 2.11782i) q^{6} +(0.356047 - 0.616691i) q^{7} +(-2.65606 - 0.972288i) q^{8} +(-0.840471 + 2.87986i) q^{9} +O(q^{10})\) \(q+(-1.40455 - 0.165045i) q^{2} +(1.03912 + 1.38573i) q^{3} +(1.94552 + 0.463628i) q^{4} +(1.15827 + 0.310357i) q^{5} +(-1.23078 - 2.11782i) 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} +(-2.28146 + 0.611314i) q^{11} +(1.37916 + 3.17772i) q^{12} +(4.90394 + 1.31401i) q^{13} +(-0.601867 + 0.807410i) q^{14} +(0.773508 + 1.92754i) q^{15} +(3.57010 + 1.80400i) q^{16} -0.863180i q^{17} +(1.65579 - 3.90619i) q^{18} +(-0.539682 - 0.539682i) q^{19} +(2.10955 + 1.14081i) q^{20} +(1.22454 - 0.147431i) q^{21} +(3.30531 - 0.482078i) q^{22} +(-0.689728 + 0.398215i) q^{23} +(-1.41263 - 4.69089i) q^{24} +(-3.08486 - 1.78104i) q^{25} +(-6.67096 - 2.65496i) q^{26} +(-4.86405 + 1.82785i) q^{27} +(0.978612 - 1.03471i) q^{28} +(8.31534 - 2.22809i) q^{29} +(-0.768298 - 2.83499i) q^{30} +(-4.18508 + 2.41626i) q^{31} +(-4.71664 - 3.12303i) q^{32} +(-3.21781 - 2.52625i) q^{33} +(-0.142464 + 1.21238i) q^{34} +(0.603793 - 0.603793i) q^{35} +(-2.97034 + 5.21316i) q^{36} +(-6.95600 - 6.95600i) q^{37} +(0.668938 + 0.847082i) q^{38} +(3.27492 + 8.16093i) q^{39} +(-2.77468 - 1.95050i) q^{40} +(-3.17027 - 5.49108i) q^{41} +(-1.74426 + 0.00497006i) q^{42} +(-3.22509 - 12.0362i) q^{43} +(-4.72204 + 0.131577i) q^{44} +(-1.86728 + 3.07481i) q^{45} +(1.03448 - 0.445476i) q^{46} +(1.31575 - 2.27895i) q^{47} +(1.20991 + 6.82174i) q^{48} +(3.24646 + 5.62304i) q^{49} +(4.03889 + 3.01071i) q^{50} +(1.19613 - 0.896946i) q^{51} +(8.93151 + 4.83004i) q^{52} +(8.87081 - 8.87081i) q^{53} +(7.13348 - 1.76452i) q^{54} -2.83227 q^{55} +(-1.54528 + 1.29179i) q^{56} +(0.187058 - 1.30864i) q^{57} +(-12.0470 + 1.75706i) q^{58} +(-3.40363 + 12.7025i) q^{59} +(0.611212 + 4.10869i) q^{60} +(-0.146922 - 0.548319i) 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} +(4.10264 + 4.07932i) q^{66} +(1.84784 - 6.89625i) q^{67} +(0.400195 - 1.67934i) q^{68} +(-1.26852 - 0.541982i) q^{69} +(-0.947710 + 0.748404i) q^{70} +3.03550i q^{71} +(5.03240 - 6.83191i) q^{72} +11.6817i q^{73} +(8.62199 + 10.9181i) q^{74} +(-0.737491 - 6.12548i) q^{75} +(-0.799750 - 1.30017i) q^{76} +(-0.435313 + 1.62461i) q^{77} +(-3.25286 - 12.0029i) 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} +(-2.99289 - 11.1696i) q^{83} +(2.45072 + 0.280901i) q^{84} +(0.267894 - 0.999796i) q^{85} +(2.54328 + 17.4377i) q^{86} +(11.7281 + 9.20754i) q^{87} +(6.65406 + 0.594544i) q^{88} -4.35531 q^{89} +(3.13017 - 4.01054i) q^{90} +(2.55637 - 2.55637i) q^{91} +(-1.52650 + 0.454957i) q^{92} +(-7.69706 - 3.28860i) q^{93} +(-2.22417 + 2.98375i) q^{94} +(-0.457603 - 0.792591i) q^{95} +(-0.573477 - 9.78116i) q^{96} +(-2.89654 + 5.01695i) q^{97} +(-3.63176 - 8.43365i) q^{98} +(0.156998 - 7.08407i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40455 0.165045i −0.993167 0.116705i
\(3\) 1.03912 + 1.38573i 0.599935 + 0.800049i
\(4\) 1.94552 + 0.463628i 0.972760 + 0.231814i
\(5\) 1.15827 + 0.310357i 0.517994 + 0.138796i 0.508339 0.861157i \(-0.330260\pi\)
0.00965542 + 0.999953i \(0.496927\pi\)
\(6\) −1.23078 2.11782i −0.502466 0.864597i
\(7\) 0.356047 0.616691i 0.134573 0.233087i −0.790861 0.611996i \(-0.790367\pi\)
0.925434 + 0.378908i \(0.123700\pi\)
\(8\) −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
\(11\) −2.28146 + 0.611314i −0.687885 + 0.184318i −0.585798 0.810457i \(-0.699219\pi\)
−0.102087 + 0.994775i \(0.532552\pi\)
\(12\) 1.37916 + 3.17772i 0.398130 + 0.917329i
\(13\) 4.90394 + 1.31401i 1.36011 + 0.364440i 0.863857 0.503738i \(-0.168042\pi\)
0.496253 + 0.868178i \(0.334709\pi\)
\(14\) −0.601867 + 0.807410i −0.160856 + 0.215789i
\(15\) 0.773508 + 1.92754i 0.199719 + 0.497689i
\(16\) 3.57010 + 1.80400i 0.892524 + 0.450999i
\(17\) 0.863180i 0.209352i −0.994506 0.104676i \(-0.966619\pi\)
0.994506 0.104676i \(-0.0333806\pi\)
\(18\) 1.65579 3.90619i 0.390274 0.920699i
\(19\) −0.539682 0.539682i −0.123811 0.123811i 0.642486 0.766297i \(-0.277903\pi\)
−0.766297 + 0.642486i \(0.777903\pi\)
\(20\) 2.10955 + 1.14081i 0.471709 + 0.255094i
\(21\) 1.22454 0.147431i 0.267216 0.0321721i
\(22\) 3.30531 0.482078i 0.704695 0.102779i
\(23\) −0.689728 + 0.398215i −0.143818 + 0.0830335i −0.570182 0.821518i \(-0.693128\pi\)
0.426364 + 0.904552i \(0.359794\pi\)
\(24\) −1.41263 4.69089i −0.288353 0.957524i
\(25\) −3.08486 1.78104i −0.616972 0.356209i
\(26\) −6.67096 2.65496i −1.30828 0.520681i
\(27\) −4.86405 + 1.82785i −0.936086 + 0.351770i
\(28\) 0.978612 1.03471i 0.184940 0.195542i
\(29\) 8.31534 2.22809i 1.54412 0.413746i 0.616526 0.787335i \(-0.288540\pi\)
0.927594 + 0.373589i \(0.121873\pi\)
\(30\) −0.768298 2.83499i −0.140271 0.517596i
\(31\) −4.18508 + 2.41626i −0.751663 + 0.433973i −0.826295 0.563238i \(-0.809555\pi\)
0.0746314 + 0.997211i \(0.476222\pi\)
\(32\) −4.71664 3.12303i −0.833792 0.552079i
\(33\) −3.21781 2.52625i −0.560150 0.439763i
\(34\) −0.142464 + 1.21238i −0.0244323 + 0.207921i
\(35\) 0.603793 0.603793i 0.102060 0.102060i
\(36\) −2.97034 + 5.21316i −0.495057 + 0.868861i
\(37\) −6.95600 6.95600i −1.14356 1.14356i −0.987794 0.155765i \(-0.950216\pi\)
−0.155765 0.987794i \(-0.549784\pi\)
\(38\) 0.668938 + 0.847082i 0.108516 + 0.137415i
\(39\) 3.27492 + 8.16093i 0.524407 + 1.30679i
\(40\) −2.77468 1.95050i −0.438715 0.308401i
\(41\) −3.17027 5.49108i −0.495114 0.857562i 0.504870 0.863195i \(-0.331540\pi\)
−0.999984 + 0.00563304i \(0.998207\pi\)
\(42\) −1.74426 + 0.00497006i −0.269145 + 0.000766896i
\(43\) −3.22509 12.0362i −0.491822 1.83550i −0.547150 0.837035i \(-0.684287\pi\)
0.0553283 0.998468i \(-0.482379\pi\)
\(44\) −4.72204 + 0.131577i −0.711875 + 0.0198359i
\(45\) −1.86728 + 3.07481i −0.278358 + 0.458366i
\(46\) 1.03448 0.445476i 0.152526 0.0656818i
\(47\) 1.31575 2.27895i 0.191923 0.332420i −0.753965 0.656915i \(-0.771861\pi\)
0.945887 + 0.324495i \(0.105194\pi\)
\(48\) 1.20991 + 6.82174i 0.174635 + 0.984633i
\(49\) 3.24646 + 5.62304i 0.463780 + 0.803291i
\(50\) 4.03889 + 3.01071i 0.571185 + 0.425778i
\(51\) 1.19613 0.896946i 0.167492 0.125597i
\(52\) 8.93151 + 4.83004i 1.23858 + 0.669805i
\(53\) 8.87081 8.87081i 1.21850 1.21850i 0.250342 0.968157i \(-0.419457\pi\)
0.968157 0.250342i \(-0.0805431\pi\)
\(54\) 7.13348 1.76452i 0.970743 0.240121i
\(55\) −2.83227 −0.381903
\(56\) −1.54528 + 1.29179i −0.206497 + 0.172623i
\(57\) 0.187058 1.30864i 0.0247765 0.173334i
\(58\) −12.0470 + 1.75706i −1.58185 + 0.230713i
\(59\) −3.40363 + 12.7025i −0.443115 + 1.65373i 0.277749 + 0.960654i \(0.410412\pi\)
−0.720865 + 0.693076i \(0.756255\pi\)
\(60\) 0.611212 + 4.10869i 0.0789071 + 0.530430i
\(61\) −0.146922 0.548319i −0.0188114 0.0702051i 0.955882 0.293751i \(-0.0949035\pi\)
−0.974693 + 0.223546i \(0.928237\pi\)
\(62\) 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
\(66\) 4.10264 + 4.07932i 0.505000 + 0.502130i
\(67\) 1.84784 6.89625i 0.225750 0.842511i −0.756352 0.654164i \(-0.773020\pi\)
0.982103 0.188347i \(-0.0603129\pi\)
\(68\) 0.400195 1.67934i 0.0485308 0.203649i
\(69\) −1.26852 0.541982i −0.152712 0.0652470i
\(70\) −0.947710 + 0.748404i −0.113273 + 0.0894514i
\(71\) 3.03550i 0.360248i 0.983644 + 0.180124i \(0.0576499\pi\)
−0.983644 + 0.180124i \(0.942350\pi\)
\(72\) 5.03240 6.83191i 0.593074 0.805148i
\(73\) 11.6817i 1.36724i 0.729839 + 0.683619i \(0.239595\pi\)
−0.729839 + 0.683619i \(0.760405\pi\)
\(74\) 8.62199 + 10.9181i 1.00229 + 1.26920i
\(75\) −0.737491 6.12548i −0.0851581 0.707310i
\(76\) −0.799750 1.30017i −0.0917376 0.149140i
\(77\) −0.435313 + 1.62461i −0.0496085 + 0.185142i
\(78\) −3.25286 12.0029i −0.368314 1.35907i
\(79\) −0.841919 0.486082i −0.0947233 0.0546885i 0.451890 0.892074i \(-0.350750\pi\)
−0.546613 + 0.837385i \(0.684083\pi\)
\(80\) 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
\(83\) −2.99289 11.1696i −0.328512 1.22602i −0.910734 0.412994i \(-0.864483\pi\)
0.582221 0.813030i \(-0.302184\pi\)
\(84\) 2.45072 + 0.280901i 0.267395 + 0.0306488i
\(85\) 0.267894 0.999796i 0.0290572 0.108443i
\(86\) 2.54328 + 17.4377i 0.274249 + 1.88036i
\(87\) 11.7281 + 9.20754i 1.25739 + 0.987152i
\(88\) 6.65406 + 0.594544i 0.709325 + 0.0633786i
\(89\) −4.35531 −0.461662 −0.230831 0.972994i \(-0.574144\pi\)
−0.230831 + 0.972994i \(0.574144\pi\)
\(90\) 3.13017 4.01054i 0.329949 0.422748i
\(91\) 2.55637 2.55637i 0.267981 0.267981i
\(92\) −1.52650 + 0.454957i −0.159149 + 0.0474326i
\(93\) −7.69706 3.28860i −0.798148 0.341012i
\(94\) −2.22417 + 2.98375i −0.229406 + 0.307750i
\(95\) −0.457603 0.792591i −0.0469490 0.0813181i
\(96\) −0.573477 9.78116i −0.0585303 0.998286i
\(97\) −2.89654 + 5.01695i −0.294099 + 0.509395i −0.974775 0.223190i \(-0.928353\pi\)
0.680676 + 0.732585i \(0.261686\pi\)
\(98\) −3.63176 8.43365i −0.366863 0.851927i
\(99\) 0.156998 7.08407i 0.0157789 0.711976i
\(100\) −5.17591 4.89529i −0.517591 0.489529i
\(101\) 2.41480 + 9.01216i 0.240282 + 0.896744i 0.975696 + 0.219127i \(0.0703207\pi\)
−0.735415 + 0.677617i \(0.763013\pi\)
\(102\) −1.82806 + 1.06239i −0.181005 + 0.105192i
\(103\) −2.02100 3.50047i −0.199135 0.344911i 0.749113 0.662442i \(-0.230480\pi\)
−0.948248 + 0.317530i \(0.897146\pi\)
\(104\) −11.7476 8.25813i −1.15194 0.809776i
\(105\) 1.46410 + 0.209280i 0.142882 + 0.0204236i
\(106\) −13.9236 + 10.9954i −1.35238 + 1.06797i
\(107\) 7.91703 + 7.91703i 0.765368 + 0.765368i 0.977287 0.211919i \(-0.0679712\pi\)
−0.211919 + 0.977287i \(0.567971\pi\)
\(108\) −10.3105 + 1.30101i −0.992133 + 0.125190i
\(109\) −8.25467 + 8.25467i −0.790654 + 0.790654i −0.981600 0.190946i \(-0.938844\pi\)
0.190946 + 0.981600i \(0.438844\pi\)
\(110\) 3.97806 + 0.467452i 0.379293 + 0.0445698i
\(111\) 2.41101 16.8672i 0.228843 1.60096i
\(112\) 2.38363 1.55934i 0.225232 0.147344i
\(113\) −6.70455 + 3.87087i −0.630711 + 0.364141i −0.781027 0.624497i \(-0.785304\pi\)
0.150316 + 0.988638i \(0.451971\pi\)
\(114\) −0.478718 + 1.80718i −0.0448360 + 0.169258i
\(115\) −0.922480 + 0.247178i −0.0860217 + 0.0230494i
\(116\) 17.2107 0.479565i 1.59797 0.0445265i
\(117\) −7.90579 + 13.0183i −0.730890 + 1.20354i
\(118\) 6.87707 17.2796i 0.633085 1.59072i
\(119\) −0.532316 0.307333i −0.0487973 0.0281731i
\(120\) −0.180358 5.87174i −0.0164643 0.536014i
\(121\) −4.69494 + 2.71063i −0.426813 + 0.246421i
\(122\) 0.115861 + 0.794391i 0.0104896 + 0.0719207i
\(123\) 4.31484 10.0990i 0.389056 0.910596i
\(124\) −9.26241 + 2.76056i −0.831789 + 0.247905i
\(125\) −7.25990 7.25990i −0.649345 0.649345i
\(126\) −1.81938 2.41190i −0.162083 0.214869i
\(127\) 7.21656i 0.640366i 0.947356 + 0.320183i \(0.103744\pi\)
−0.947356 + 0.320183i \(0.896256\pi\)
\(128\) −7.72839 8.26269i −0.683100 0.730325i
\(129\) 13.3276 16.9761i 1.17343 1.49466i
\(130\) −6.90279 5.14554i −0.605415 0.451294i
\(131\) 5.83309 + 1.56297i 0.509640 + 0.136558i 0.504470 0.863429i \(-0.331688\pi\)
0.00516943 + 0.999987i \(0.498355\pi\)
\(132\) −5.08908 6.40673i −0.442948 0.557634i
\(133\) −0.524969 + 0.140665i −0.0455206 + 0.0121972i
\(134\) −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 \(-0.908121\pi\)
0.725833 + 0.687871i \(0.241455\pi\)
\(138\) 1.69225 + 0.970605i 0.144054 + 0.0826233i
\(139\) 14.3793 + 3.85291i 1.21963 + 0.326800i 0.810534 0.585691i \(-0.199177\pi\)
0.409098 + 0.912490i \(0.365843\pi\)
\(140\) 1.45463 0.894756i 0.122938 0.0756207i
\(141\) 4.52523 0.544825i 0.381093 0.0458825i
\(142\) 0.500995 4.26351i 0.0420426 0.357786i
\(143\) −11.9914 −1.00277
\(144\) −8.19583 + 8.76518i −0.682986 + 0.730432i
\(145\) 10.3229 0.857271
\(146\) 1.92801 16.4075i 0.159563 1.35790i
\(147\) −4.41853 + 10.3417i −0.364434 + 0.852969i
\(148\) −10.3080 16.7580i −0.847316 1.37750i
\(149\) 11.1485 + 2.98723i 0.913321 + 0.244724i 0.684728 0.728798i \(-0.259921\pi\)
0.228593 + 0.973522i \(0.426588\pi\)
\(150\) 0.0248616 + 8.72527i 0.00202994 + 0.712415i
\(151\) 4.79677 8.30825i 0.390355 0.676116i −0.602141 0.798390i \(-0.705685\pi\)
0.992496 + 0.122274i \(0.0390188\pi\)
\(152\) 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
\(155\) −5.59736 + 1.49981i −0.449591 + 0.120467i
\(156\) 2.58778 + 17.3956i 0.207188 + 1.39276i
\(157\) 10.5494 + 2.82669i 0.841931 + 0.225595i 0.653912 0.756571i \(-0.273127\pi\)
0.188019 + 0.982165i \(0.439793\pi\)
\(158\) 1.10229 + 0.821682i 0.0876936 + 0.0653695i
\(159\) 21.5103 + 3.07470i 1.70588 + 0.243840i
\(160\) −4.49388 5.08116i −0.355273 0.401701i
\(161\) 0.567132i 0.0446963i
\(162\) 9.85766 + 8.05150i 0.774491 + 0.632585i
\(163\) 10.4644 + 10.4644i 0.819633 + 0.819633i 0.986055 0.166422i \(-0.0532214\pi\)
−0.166422 + 0.986055i \(0.553221\pi\)
\(164\) −3.62201 12.1528i −0.282832 0.948977i
\(165\) −2.94306 3.92475i −0.229117 0.305541i
\(166\) 2.36017 + 16.1822i 0.183185 + 1.25599i
\(167\) 11.5061 6.64303i 0.890367 0.514053i 0.0163043 0.999867i \(-0.494810\pi\)
0.874062 + 0.485814i \(0.161477\pi\)
\(168\) −3.39580 0.799019i −0.261991 0.0616456i
\(169\) 11.0637 + 6.38764i 0.851056 + 0.491357i
\(170\) −0.541283 + 1.36005i −0.0415145 + 0.104311i
\(171\) 2.00780 1.10062i 0.153540 0.0841667i
\(172\) −0.694155 24.9119i −0.0529288 1.89952i
\(173\) −7.28191 + 1.95118i −0.553633 + 0.148346i −0.524780 0.851238i \(-0.675852\pi\)
−0.0288536 + 0.999584i \(0.509186\pi\)
\(174\) −14.9531 14.8681i −1.13359 1.12715i
\(175\) −2.19671 + 1.26827i −0.166056 + 0.0958723i
\(176\) −9.24783 1.93329i −0.697081 0.145727i
\(177\) −21.1390 + 8.48292i −1.58890 + 0.637615i
\(178\) 6.11725 + 0.718822i 0.458507 + 0.0538780i
\(179\) −15.1045 + 15.1045i −1.12896 + 1.12896i −0.138617 + 0.990346i \(0.544266\pi\)
−0.990346 + 0.138617i \(0.955734\pi\)
\(180\) −5.05840 + 5.11638i −0.377031 + 0.381353i
\(181\) −3.08895 3.08895i −0.229600 0.229600i 0.582926 0.812525i \(-0.301908\pi\)
−0.812525 + 0.582926i \(0.801908\pi\)
\(182\) −4.01247 + 3.16863i −0.297424 + 0.234875i
\(183\) 0.607151 0.773361i 0.0448819 0.0571685i
\(184\) 2.21914 0.387068i 0.163597 0.0285350i
\(185\) −5.89808 10.2158i −0.433635 0.751078i
\(186\) 10.2681 + 5.88937i 0.752897 + 0.431829i
\(187\) 0.527675 + 1.96931i 0.0385874 + 0.144010i
\(188\) 3.61641 3.82373i 0.263754 0.278874i
\(189\) −0.604609 + 3.65042i −0.0439788 + 0.265529i
\(190\) 0.511912 + 1.18876i 0.0371380 + 0.0862416i
\(191\) −2.50481 + 4.33846i −0.181242 + 0.313920i −0.942304 0.334759i \(-0.891345\pi\)
0.761062 + 0.648679i \(0.224678\pi\)
\(192\) −0.808856 + 13.8328i −0.0583742 + 0.998295i
\(193\) −2.87512 4.97985i −0.206956 0.358457i 0.743799 0.668404i \(-0.233022\pi\)
−0.950754 + 0.309946i \(0.899689\pi\)
\(194\) 4.89636 6.56850i 0.351538 0.471591i
\(195\) 1.26043 + 10.4690i 0.0902615 + 0.749697i
\(196\) 3.70906 + 12.4449i 0.264933 + 0.888920i
\(197\) 0.515447 0.515447i 0.0367240 0.0367240i −0.688506 0.725230i \(-0.741733\pi\)
0.725230 + 0.688506i \(0.241733\pi\)
\(198\) −1.38970 + 9.92402i −0.0987619 + 0.705269i
\(199\) −21.6583 −1.53532 −0.767659 0.640858i \(-0.778579\pi\)
−0.767659 + 0.640858i \(0.778579\pi\)
\(200\) 6.46189 + 7.72993i 0.456924 + 0.546589i
\(201\) 11.4764 4.60541i 0.809486 0.324840i
\(202\) −1.90430 13.0566i −0.133986 0.918658i
\(203\) 1.58661 5.92130i 0.111358 0.415594i
\(204\) 2.74295 1.19047i 0.192045 0.0833492i
\(205\) −1.96784 7.34407i −0.137440 0.512932i
\(206\) 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
\(210\) −2.02187 0.535587i −0.139522 0.0369590i
\(211\) −0.602272 + 2.24771i −0.0414621 + 0.154739i −0.983553 0.180618i \(-0.942190\pi\)
0.942091 + 0.335357i \(0.108857\pi\)
\(212\) 21.3711 13.1456i 1.46777 0.902842i
\(213\) −4.20637 + 3.15424i −0.288216 + 0.216125i
\(214\) −9.81320 12.4265i −0.670816 0.849460i
\(215\) 14.9421i 1.01904i
\(216\) 14.6964 0.125630i 0.999963 0.00854801i
\(217\) 3.44121i 0.233604i
\(218\) 12.9565 10.2317i 0.877524 0.692978i
\(219\) −16.1876 + 12.1386i −1.09386 + 0.820253i
\(220\) −5.51023 1.31312i −0.371500 0.0885305i
\(221\) 1.13423 4.23299i 0.0762963 0.284742i
\(222\) −6.17023 + 23.2929i −0.414119 + 1.56332i
\(223\) 16.3604 + 9.44569i 1.09557 + 0.632530i 0.935055 0.354502i \(-0.115350\pi\)
0.160520 + 0.987033i \(0.448683\pi\)
\(224\) −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
\(227\) 2.11189 + 7.88169i 0.140171 + 0.523126i 0.999923 + 0.0124139i \(0.00395157\pi\)
−0.859752 + 0.510712i \(0.829382\pi\)
\(228\) 0.970650 2.45927i 0.0642828 0.162869i
\(229\) 1.95948 7.31287i 0.129486 0.483248i −0.870474 0.492215i \(-0.836187\pi\)
0.999960 + 0.00896646i \(0.00285415\pi\)
\(230\) 1.33646 0.194923i 0.0881238 0.0128528i
\(231\) −2.70361 + 1.08494i −0.177884 + 0.0713836i
\(232\) −24.2524 2.16697i −1.59225 0.142268i
\(233\) −6.77947 −0.444138 −0.222069 0.975031i \(-0.571281\pi\)
−0.222069 + 0.975031i \(0.571281\pi\)
\(234\) 13.2527 16.9800i 0.866355 1.11002i
\(235\) 2.23129 2.23129i 0.145553 0.145553i
\(236\) −12.5111 + 23.1350i −0.814403 + 1.50596i
\(237\) −0.201276 1.67177i −0.0130743 0.108593i
\(238\) 0.696940 + 0.519520i 0.0451759 + 0.0336755i
\(239\) −9.48431 16.4273i −0.613489 1.06259i −0.990648 0.136445i \(-0.956432\pi\)
0.377159 0.926149i \(-0.376901\pi\)
\(240\) −0.715781 + 8.27692i −0.0462035 + 0.534273i
\(241\) 0.0512556 0.0887774i 0.00330167 0.00571865i −0.864370 0.502857i \(-0.832282\pi\)
0.867672 + 0.497138i \(0.165616\pi\)
\(242\) 7.04166 3.03233i 0.452655 0.194926i
\(243\) −1.17587 15.5440i −0.0754319 0.997151i
\(244\) −0.0316228 1.13488i −0.00202444 0.0726535i
\(245\) 2.01513 + 7.52056i 0.128742 + 0.480471i
\(246\) −7.72720 + 13.4724i −0.492668 + 0.858969i
\(247\) −1.93742 3.35571i −0.123275 0.213519i
\(248\) 13.4651 2.34862i 0.855037 0.149138i
\(249\) 12.3681 15.7539i 0.783794 0.998360i
\(250\) 8.99868 + 11.3951i 0.569127 + 0.720690i
\(251\) 6.59142 + 6.59142i 0.416047 + 0.416047i 0.883839 0.467792i \(-0.154950\pi\)
−0.467792 + 0.883839i \(0.654950\pi\)
\(252\) 2.15733 + 3.68791i 0.135899 + 0.232317i
\(253\) 1.33015 1.33015i 0.0836258 0.0836258i
\(254\) 1.19106 10.1360i 0.0747337 0.635990i
\(255\) 1.66382 0.667677i 0.104192 0.0418115i
\(256\) 9.49119 + 12.8809i 0.593200 + 0.805055i
\(257\) −14.3072 + 8.26024i −0.892456 + 0.515260i −0.874745 0.484583i \(-0.838971\pi\)
−0.0177109 + 0.999843i \(0.505638\pi\)
\(258\) −21.5211 + 21.6441i −1.33985 + 1.34750i
\(259\) −6.76637 + 1.81304i −0.420442 + 0.112657i
\(260\) 8.84606 + 8.36645i 0.548609 + 0.518865i
\(261\) −0.572217 + 25.8197i −0.0354194 + 1.59820i
\(262\) −7.93491 3.15800i −0.490220 0.195102i
\(263\) −22.2913 12.8699i −1.37454 0.793593i −0.383047 0.923729i \(-0.625125\pi\)
−0.991496 + 0.130136i \(0.958458\pi\)
\(264\) 6.09047 + 9.83850i 0.374843 + 0.605518i
\(265\) 13.0279 7.52167i 0.800298 0.462052i
\(266\) 0.760561 0.110927i 0.0466330 0.00680140i
\(267\) −4.52567 6.03526i −0.276967 0.369352i
\(268\) 6.79232 12.5601i 0.414907 0.767229i
\(269\) 4.62506 + 4.62506i 0.281995 + 0.281995i 0.833904 0.551909i \(-0.186101\pi\)
−0.551909 + 0.833904i \(0.686101\pi\)
\(270\) 8.81012 + 0.170136i 0.536167 + 0.0103542i
\(271\) 6.13012i 0.372378i −0.982514 0.186189i \(-0.940386\pi\)
0.982514 0.186189i \(-0.0596137\pi\)
\(272\) 1.55717 3.08164i 0.0944176 0.186852i
\(273\) 6.19880 + 0.886060i 0.375168 + 0.0536268i
\(274\) 4.60609 6.17911i 0.278264 0.373294i
\(275\) 8.12675 + 2.17756i 0.490062 + 0.131312i
\(276\) −2.21666 1.64256i −0.133427 0.0988705i
\(277\) 0.690716 0.185077i 0.0415011 0.0111202i −0.238009 0.971263i \(-0.576495\pi\)
0.279510 + 0.960143i \(0.409828\pi\)
\(278\) −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 \(-0.733423\pi\)
0.978089 + 0.208187i \(0.0667561\pi\)
\(282\) −6.44583 + 0.0183666i −0.383844 + 0.00109372i
\(283\) 25.3663 + 6.79689i 1.50787 + 0.404033i 0.915728 0.401799i \(-0.131615\pi\)
0.592144 + 0.805832i \(0.298282\pi\)
\(284\) −1.40734 + 5.90563i −0.0835105 + 0.350435i
\(285\) 0.622811 1.45771i 0.0368921 0.0863471i
\(286\) 16.8425 + 1.97912i 0.995919 + 0.117028i
\(287\) −4.51507 −0.266516
\(288\) 12.9581 10.9585i 0.763563 0.645733i
\(289\) 16.2549 0.956172
\(290\) −14.4990 1.70375i −0.851413 0.100047i
\(291\) −9.96197 + 1.19939i −0.583981 + 0.0703097i
\(292\) −5.41596 + 22.7270i −0.316945 + 1.32999i
\(293\) −19.4618 5.21478i −1.13697 0.304651i −0.359239 0.933246i \(-0.616964\pi\)
−0.777733 + 0.628595i \(0.783630\pi\)
\(294\) 7.91290 13.7962i 0.461489 0.804609i
\(295\) −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
\(299\) −3.90564 + 1.04651i −0.225869 + 0.0605215i
\(300\) 1.40514 12.2592i 0.0811260 0.707784i
\(301\) −8.57090 2.29657i −0.494018 0.132372i
\(302\) −8.10854 + 10.8777i −0.466594 + 0.625939i
\(303\) −9.97913 + 12.7109i −0.573286 + 0.730225i
\(304\) −0.953132 2.90030i −0.0546659 0.166344i
\(305\) 0.680700i 0.0389768i
\(306\) −3.37175 1.42925i −0.192750 0.0817046i
\(307\) −5.92691 5.92691i −0.338267 0.338267i 0.517448 0.855715i \(-0.326882\pi\)
−0.855715 + 0.517448i \(0.826882\pi\)
\(308\) −1.60013 + 2.95889i −0.0911756 + 0.168598i
\(309\) 2.75064 6.43794i 0.156478 0.366242i
\(310\) 8.10930 1.18274i 0.460578 0.0671750i
\(311\) 22.5904 13.0426i 1.28098 0.739576i 0.303956 0.952686i \(-0.401692\pi\)
0.977028 + 0.213110i \(0.0683592\pi\)
\(312\) −0.763607 24.8601i −0.0432308 1.40743i
\(313\) −0.538716 0.311028i −0.0304500 0.0175803i 0.484698 0.874682i \(-0.338930\pi\)
−0.515148 + 0.857101i \(0.672263\pi\)
\(314\) −14.3506 5.71135i −0.809850 0.322310i
\(315\) 1.23137 + 2.24631i 0.0693798 + 0.126565i
\(316\) −1.41261 1.33602i −0.0794655 0.0751570i
\(317\) −13.7037 + 3.67189i −0.769675 + 0.206234i −0.622228 0.782836i \(-0.713772\pi\)
−0.147447 + 0.989070i \(0.547106\pi\)
\(318\) −29.7049 7.86874i −1.66577 0.441257i
\(319\) −17.6090 + 10.1666i −0.985916 + 0.569219i
\(320\) 5.47326 + 7.87843i 0.305965 + 0.440418i
\(321\) −2.74411 + 19.1976i −0.153161 + 1.07150i
\(322\) 0.0936024 0.796565i 0.00521626 0.0443909i
\(323\) −0.465843 + 0.465843i −0.0259202 + 0.0259202i
\(324\) −12.5167 12.9357i −0.695373 0.718649i
\(325\) −12.7877 12.7877i −0.709333 0.709333i
\(326\) −12.9706 16.4248i −0.718377 0.909687i
\(327\) −20.0163 2.86114i −1.10690 0.158221i
\(328\) 3.08153 + 17.6671i 0.170149 + 0.975500i
\(329\) −0.936941 1.62283i −0.0516552 0.0894694i
\(330\) 3.48591 + 5.99824i 0.191893 + 0.330192i
\(331\) −2.77508 10.3567i −0.152532 0.569257i −0.999304 0.0373014i \(-0.988124\pi\)
0.846772 0.531956i \(-0.178543\pi\)
\(332\) −0.644177 23.1183i −0.0353538 1.26878i
\(333\) 25.8786 14.1860i 1.41814 0.777388i
\(334\) −17.2573 + 7.43145i −0.944275 + 0.406631i
\(335\) 4.28061 7.41423i 0.233874 0.405082i
\(336\) 4.63769 + 1.68272i 0.253007 + 0.0918000i
\(337\) −5.91237 10.2405i −0.322067 0.557837i 0.658847 0.752277i \(-0.271044\pi\)
−0.980914 + 0.194440i \(0.937711\pi\)
\(338\) −14.4853 10.7978i −0.787896 0.587322i
\(339\) −12.3308 5.26838i −0.669716 0.286139i
\(340\) 0.984728 1.82092i 0.0534044 0.0987532i
\(341\) 8.07099 8.07099i 0.437069 0.437069i
\(342\) −3.00170 + 1.21450i −0.162313 + 0.0656727i
\(343\) 9.60823 0.518795
\(344\) −3.13661 + 35.1046i −0.169115 + 1.89271i
\(345\) −1.30108 1.02146i −0.0700481 0.0549934i
\(346\) 10.5498 1.53869i 0.567163 0.0827204i
\(347\) −0.0889961 + 0.332138i −0.00477756 + 0.0178301i −0.968273 0.249893i \(-0.919605\pi\)
0.963496 + 0.267723i \(0.0862712\pi\)
\(348\) 18.5484 + 23.3509i 0.994301 + 1.25174i
\(349\) −6.40780 23.9142i −0.343001 1.28010i −0.894930 0.446207i \(-0.852774\pi\)
0.551928 0.833892i \(-0.313892\pi\)
\(350\) 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 0.338707 0.940892i \(-0.390011\pi\)
−0.645483 + 0.763775i \(0.723344\pi\)
\(354\) 31.0908 8.42579i 1.65246 0.447826i
\(355\) −0.942090 + 3.51593i −0.0500010 + 0.186606i
\(356\) −8.47334 2.01924i −0.449086 0.107020i
\(357\) −0.127260 1.05700i −0.00673530 0.0559423i
\(358\) 23.7079 18.7221i 1.25300 0.989493i
\(359\) 25.7733i 1.36026i 0.733091 + 0.680130i \(0.238077\pi\)
−0.733091 + 0.680130i \(0.761923\pi\)
\(360\) 7.94921 6.35135i 0.418960 0.334746i
\(361\) 18.4175i 0.969341i
\(362\) 3.82876 + 4.84839i 0.201235 + 0.254826i
\(363\) −8.63478 3.68924i −0.453208 0.193635i
\(364\) 6.15868 3.78827i 0.322802 0.198559i
\(365\) −3.62550 + 13.5305i −0.189767 + 0.708221i
\(366\) −0.980414 + 0.986017i −0.0512470 + 0.0515399i
\(367\) 10.6689 + 6.15969i 0.556912 + 0.321533i 0.751905 0.659271i \(-0.229135\pi\)
−0.194993 + 0.980805i \(0.562468\pi\)
\(368\) −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
\(371\) −2.31213 8.62898i −0.120040 0.447994i
\(372\) −13.4501 9.96662i −0.697355 0.516745i
\(373\) −7.18223 + 26.8045i −0.371882 + 1.38788i 0.485966 + 0.873978i \(0.338468\pi\)
−0.857848 + 0.513904i \(0.828199\pi\)
\(374\) −0.416120 2.85308i −0.0215171 0.147529i
\(375\) 2.51634 17.6041i 0.129943 0.909073i
\(376\) −5.71052 + 4.77375i −0.294498 + 0.246187i
\(377\) 43.7057 2.25096
\(378\) 1.45169 5.02740i 0.0746667 0.258582i
\(379\) −20.2758 + 20.2758i −1.04150 + 1.04150i −0.0423953 + 0.999101i \(0.513499\pi\)
−0.999101 + 0.0423953i \(0.986501\pi\)
\(380\) −0.522808 1.75416i −0.0268195 0.0899865i
\(381\) −10.0002 + 7.49885i −0.512324 + 0.384178i
\(382\) 4.23417 5.68017i 0.216639 0.290623i
\(383\) 12.9618 + 22.4505i 0.662317 + 1.14717i 0.980005 + 0.198971i \(0.0637599\pi\)
−0.317689 + 0.948195i \(0.602907\pi\)
\(384\) 3.41911 19.2953i 0.174481 0.984661i
\(385\) −1.00842 + 1.74663i −0.0513938 + 0.0890167i
\(386\) 3.21635 + 7.46897i 0.163708 + 0.380161i
\(387\) 37.3732 + 0.828267i 1.89979 + 0.0421032i
\(388\) −7.96128 + 8.41767i −0.404173 + 0.427342i
\(389\) 1.85064 + 6.90667i 0.0938310 + 0.350182i 0.996840 0.0794404i \(-0.0253134\pi\)
−0.903009 + 0.429622i \(0.858647\pi\)
\(390\) −0.0424905 14.9122i −0.00215159 0.755108i
\(391\) 0.343731 + 0.595360i 0.0173832 + 0.0301086i
\(392\) −3.15559 18.0916i −0.159381 0.913765i
\(393\) 3.89541 + 9.70718i 0.196498 + 0.489662i
\(394\) −0.809042 + 0.638898i −0.0407590 + 0.0321872i
\(395\) −0.824310 0.824310i −0.0414756 0.0414756i
\(396\) 3.58982 13.7094i 0.180395 0.688924i
\(397\) −14.8178 + 14.8178i −0.743683 + 0.743683i −0.973285 0.229602i \(-0.926258\pi\)
0.229602 + 0.973285i \(0.426258\pi\)
\(398\) 30.4202 + 3.57460i 1.52483 + 0.179179i
\(399\) −0.740427 0.581296i −0.0370677 0.0291012i
\(400\) −7.80025 11.9236i −0.390013 0.596179i
\(401\) −4.39082 + 2.53504i −0.219267 + 0.126594i −0.605611 0.795761i \(-0.707071\pi\)
0.386344 + 0.922355i \(0.373738\pi\)
\(402\) −16.8793 + 4.57439i −0.841865 + 0.228150i
\(403\) −23.6984 + 6.34997i −1.18050 + 0.316314i
\(404\) 0.519752 + 18.6529i 0.0258586 + 0.928017i
\(405\) −7.28564 7.96180i −0.362026 0.395625i
\(406\) −3.20575 + 8.05490i −0.159099 + 0.399758i
\(407\) 20.1221 + 11.6175i 0.997416 + 0.575858i
\(408\) −4.04909 + 1.21936i −0.200460 + 0.0603672i
\(409\) −20.8923 + 12.0622i −1.03306 + 0.596436i −0.917859 0.396906i \(-0.870084\pi\)
−0.115199 + 0.993342i \(0.536750\pi\)
\(410\) 1.55182 + 10.6399i 0.0766390 + 0.525467i
\(411\) −9.37140 + 1.12829i −0.462257 + 0.0556545i
\(412\) −2.30897 7.74722i −0.113755 0.381678i
\(413\) 6.62169 + 6.62169i 0.325832 + 0.325832i
\(414\) 0.413458 + 3.35357i 0.0203204 + 0.164819i
\(415\) 13.8663i 0.680670i
\(416\) −19.0264 21.5129i −0.932848 1.05476i
\(417\) 9.60265 + 23.9293i 0.470244 + 1.17182i
\(418\) −2.04399 1.52365i −0.0999746 0.0745241i
\(419\) 19.2387 + 5.15499i 0.939871 + 0.251838i 0.696059 0.717985i \(-0.254935\pi\)
0.243812 + 0.969822i \(0.421602\pi\)
\(420\) 2.75141 + 1.08596i 0.134255 + 0.0529893i
\(421\) 31.5799 8.46180i 1.53911 0.412403i 0.613131 0.789981i \(-0.289910\pi\)
0.925978 + 0.377578i \(0.123243\pi\)
\(422\) 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
\(426\) 6.42865 3.73605i 0.311469 0.181012i
\(427\) −0.390455 0.104622i −0.0188954 0.00506302i
\(428\) 11.7322 + 19.0733i 0.567097 + 0.921943i
\(429\) −12.4605 16.6168i −0.601597 0.802267i
\(430\) −2.46612 + 20.9869i −0.118927 + 1.01208i
\(431\) 11.5413 0.555923 0.277962 0.960592i \(-0.410341\pi\)
0.277962 + 0.960592i \(0.410341\pi\)
\(432\) −20.6626 2.24912i −0.994128 0.108211i
\(433\) 24.2215 1.16401 0.582006 0.813184i \(-0.302268\pi\)
0.582006 + 0.813184i \(0.302268\pi\)
\(434\) 0.567954 4.83334i 0.0272627 0.232008i
\(435\) 10.7267 + 14.3047i 0.514307 + 0.685859i
\(436\) −19.8867 + 12.2325i −0.952401 + 0.585832i
\(437\) 0.587143 + 0.157324i 0.0280868 + 0.00752585i
\(438\) 24.7397 14.3776i 1.18211 0.686990i
\(439\) −4.47756 + 7.75537i −0.213702 + 0.370143i −0.952870 0.303378i \(-0.901886\pi\)
0.739168 + 0.673521i \(0.235219\pi\)
\(440\) 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
\(443\) 19.7541 5.29309i 0.938545 0.251482i 0.243051 0.970014i \(-0.421852\pi\)
0.695495 + 0.718531i \(0.255185\pi\)
\(444\) 12.5108 31.6977i 0.593735 1.50431i
\(445\) −5.04462 1.35170i −0.239138 0.0640768i
\(446\) −21.4201 15.9672i −1.01427 0.756067i
\(447\) 7.44512 + 18.5529i 0.352142 + 0.877520i
\(448\) 5.36036 1.92861i 0.253253 0.0911183i
\(449\) 2.34595i 0.110712i 0.998467 + 0.0553561i \(0.0176294\pi\)
−0.998467 + 0.0553561i \(0.982371\pi\)
\(450\) −12.0650 + 9.10102i −0.568749 + 0.429026i
\(451\) 10.5896 + 10.5896i 0.498646 + 0.498646i
\(452\) −14.8385 + 4.42244i −0.697943 + 0.208014i
\(453\) 16.4974 1.98624i 0.775113 0.0933215i
\(454\) −1.66542 11.4188i −0.0781622 0.535910i
\(455\) 3.75436 2.16758i 0.176007 0.101618i
\(456\) −1.76922 + 3.29396i −0.0828511 + 0.154254i
\(457\) −24.1000 13.9141i −1.12735 0.650876i −0.184084 0.982911i \(-0.558932\pi\)
−0.943267 + 0.332034i \(0.892265\pi\)
\(458\) −3.95914 + 9.94789i −0.184998 + 0.464834i
\(459\) 1.57777 + 4.19855i 0.0736438 + 0.195972i
\(460\) −1.90930 + 0.0532015i −0.0890216 + 0.00248053i
\(461\) 19.2263 5.15168i 0.895459 0.239937i 0.218394 0.975861i \(-0.429918\pi\)
0.677065 + 0.735923i \(0.263252\pi\)
\(462\) 3.97641 1.07763i 0.184999 0.0501359i
\(463\) −21.3818 + 12.3448i −0.993699 + 0.573712i −0.906378 0.422468i \(-0.861164\pi\)
−0.0873209 + 0.996180i \(0.527831\pi\)
\(464\) 33.7060 + 7.04635i 1.56476 + 0.327119i
\(465\) −7.89463 6.19793i −0.366105 0.287422i
\(466\) 9.52211 + 1.11892i 0.441103 + 0.0518329i
\(467\) 14.0708 14.0708i 0.651120 0.651120i −0.302143 0.953263i \(-0.597702\pi\)
0.953263 + 0.302143i \(0.0977019\pi\)
\(468\) −21.4165 + 21.6620i −0.989979 + 1.00133i
\(469\) −3.59494 3.59494i −0.165999 0.165999i
\(470\) −3.50222 + 2.76569i −0.161545 + 0.127572i
\(471\) 7.04500 + 17.5558i 0.324616 + 0.808928i
\(472\) 21.3908 30.4294i 0.984590 1.40063i
\(473\) 14.7158 + 25.4885i 0.676633 + 1.17196i
\(474\) 0.00678522 + 2.38130i 0.000311656 + 0.109377i
\(475\) 0.703645 + 2.62604i 0.0322855 + 0.120491i
\(476\) −0.893143 0.844719i −0.0409371 0.0387176i
\(477\) 18.0911 + 33.0024i 0.828332 + 1.51108i
\(478\) 10.6099 + 24.6383i 0.485287 + 1.12693i
\(479\) 12.8097 22.1870i 0.585288 1.01375i −0.409551 0.912287i \(-0.634315\pi\)
0.994839 0.101462i \(-0.0323520\pi\)
\(480\) 2.37142 11.5072i 0.108240 0.525230i
\(481\) −24.9716 43.2521i −1.13861 1.97212i
\(482\) −0.0866434 + 0.116233i −0.00394650 + 0.00529426i
\(483\) −0.785890 + 0.589317i −0.0357592 + 0.0268148i
\(484\) −10.3908 + 3.09687i −0.472310 + 0.140767i
\(485\) −4.91202 + 4.91202i −0.223043 + 0.223043i
\(486\) −0.913906 + 22.0265i −0.0414556 + 0.999140i
\(487\) 24.8039 1.12397 0.561986 0.827147i \(-0.310038\pi\)
0.561986 + 0.827147i \(0.310038\pi\)
\(488\) −0.142891 + 1.59922i −0.00646838 + 0.0723933i
\(489\) −3.62704 + 25.3745i −0.164020 + 1.14747i
\(490\) −1.58911 10.8956i −0.0717889 0.492212i
\(491\) 9.75039 36.3890i 0.440029 1.64221i −0.288708 0.957417i \(-0.593226\pi\)
0.728737 0.684793i \(-0.240108\pi\)
\(492\) 13.0768 17.6473i 0.589547 0.795603i
\(493\) −1.92324 7.17764i −0.0866185 0.323265i
\(494\) 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
\(498\) −19.9717 + 20.0858i −0.894951 + 0.900066i
\(499\) 5.39127 20.1205i 0.241346 0.900717i −0.733838 0.679324i \(-0.762273\pi\)
0.975185 0.221393i \(-0.0710604\pi\)
\(500\) −10.7584 17.4902i −0.481130 0.782185i
\(501\) 21.1616 + 9.04137i 0.945430 + 0.403939i
\(502\) −8.17010 10.3459i −0.364649 0.461759i
\(503\) 4.55397i 0.203051i 0.994833 + 0.101526i \(0.0323724\pi\)
−0.994833 + 0.101526i \(0.967628\pi\)
\(504\) −2.42141 5.53592i −0.107858 0.246589i
\(505\) 11.1880i 0.497858i
\(506\) −2.08780 + 1.64873i −0.0928139 + 0.0732948i
\(507\) 2.64498 + 21.9688i 0.117468 + 0.975668i
\(508\) −3.34580 + 14.0400i −0.148446 + 0.622923i
\(509\) −1.99603 + 7.44927i −0.0884723 + 0.330183i −0.995949 0.0899191i \(-0.971339\pi\)
0.907477 + 0.420102i \(0.138006\pi\)
\(510\) −2.44711 + 0.663180i −0.108360 + 0.0293661i
\(511\) 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
\(515\) −1.25446 4.68172i −0.0552782 0.206301i
\(516\) 33.7998 26.8483i 1.48795 1.18193i
\(517\) −1.60868 + 6.00367i −0.0707496 + 0.264041i
\(518\) 9.80293 1.42975i 0.430716 0.0628197i
\(519\) −10.2706 8.06322i −0.450828 0.353936i
\(520\) −11.0439 13.2111i −0.484307 0.579345i
\(521\) −41.5553 −1.82057 −0.910286 0.413980i \(-0.864138\pi\)
−0.910286 + 0.413980i \(0.864138\pi\)
\(522\) 5.06512 36.1706i 0.221694 1.58314i
\(523\) 7.94661 7.94661i 0.347481 0.347481i −0.511689 0.859171i \(-0.670980\pi\)
0.859171 + 0.511689i \(0.170980\pi\)
\(524\) 10.6238 + 5.74518i 0.464101 + 0.250979i
\(525\) −4.04011 1.72615i −0.176325 0.0753356i
\(526\) 29.1852 + 21.7555i 1.27253 + 0.948585i
\(527\) 2.08567 + 3.61248i 0.0908531 + 0.157362i
\(528\) −6.93057 14.8239i −0.301614 0.645126i
\(529\) −11.1829 + 19.3693i −0.486211 + 0.842142i
\(530\) −19.5398 + 8.41436i −0.848753 + 0.365497i
\(531\) −33.7209 20.4781i −1.46336 0.888675i
\(532\) −1.08655 + 0.0302762i −0.0471081 + 0.00131264i
\(533\) −8.33153 31.0937i −0.360879 1.34682i
\(534\) 5.36044 + 9.22377i 0.231969 + 0.399151i
\(535\) 6.71295 + 11.6272i 0.290226 + 0.502686i
\(536\) −11.6131 + 16.5202i −0.501611 + 0.713565i
\(537\) −36.6260 5.23535i −1.58053 0.225922i
\(538\) −5.73278 7.25947i −0.247158 0.312978i
\(539\) −10.8441 10.8441i −0.467089 0.467089i
\(540\) −12.3462 1.69303i −0.531295 0.0728565i
\(541\) 23.7454 23.7454i 1.02090 1.02090i 0.0211185 0.999777i \(-0.493277\pi\)
0.999777 0.0211185i \(-0.00672274\pi\)
\(542\) −1.01175 + 8.61005i −0.0434582 + 0.369833i
\(543\) 1.07066 7.49021i 0.0459462 0.321436i
\(544\) −2.69574 + 4.07131i −0.115579 + 0.174556i
\(545\) −12.1230 + 6.99924i −0.519294 + 0.299814i
\(546\) −8.56028 2.26760i −0.366346 0.0970442i
\(547\) 0.683605 0.183171i 0.0292288 0.00783185i −0.244175 0.969731i \(-0.578517\pi\)
0.273404 + 0.961899i \(0.411850\pi\)
\(548\) −7.48932 + 7.91865i −0.319928 + 0.338268i
\(549\) 1.70257 + 0.0377324i 0.0726638 + 0.00161038i
\(550\) −11.0550 4.39977i −0.471388 0.187607i
\(551\) −5.69010 3.28518i −0.242406 0.139953i
\(552\) 2.84231 + 2.67291i 0.120977 + 0.113766i
\(553\) −0.599525 + 0.346136i −0.0254944 + 0.0147192i
\(554\) −1.00069 + 0.145950i −0.0425153 + 0.00620083i
\(555\) 8.02746 18.7885i 0.340747 0.797527i
\(556\) 26.1888 + 14.1625i 1.11065 + 0.600626i
\(557\) 11.0432 + 11.0432i 0.467916 + 0.467916i 0.901239 0.433322i \(-0.142659\pi\)
−0.433322 + 0.901239i \(0.642659\pi\)
\(558\) 2.50875 + 20.3486i 0.106204 + 0.861424i
\(559\) 63.2626i 2.67572i
\(560\) 3.24484 1.06636i 0.137120 0.0450619i
\(561\) −2.18061 + 2.77755i −0.0920652 + 0.117268i
\(562\) −8.74890 + 11.7367i −0.369050 + 0.495083i
\(563\) −43.2988 11.6019i −1.82483 0.488961i −0.827462 0.561522i \(-0.810216\pi\)
−0.997364 + 0.0725616i \(0.976883\pi\)
\(564\) 9.05652 + 1.03806i 0.381348 + 0.0437100i
\(565\) −8.96703 + 2.40271i −0.377246 + 0.101083i
\(566\) −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 0.476814 + 0.879004i \(0.341792\pi\)
−0.999647 + 0.0265695i \(0.991542\pi\)
\(570\) −1.11536 + 1.94463i −0.0467171 + 0.0814516i
\(571\) −34.6227 9.27714i −1.44892 0.388236i −0.553270 0.833002i \(-0.686620\pi\)
−0.895647 + 0.444766i \(0.853287\pi\)
\(572\) −23.3295 5.55955i −0.975456 0.232457i
\(573\) −8.61470 + 1.03719i −0.359884 + 0.0433291i
\(574\) 6.34163 + 0.745190i 0.264695 + 0.0311036i
\(575\) 2.83695 0.118309
\(576\) −20.0089 + 13.2530i −0.833706 + 0.552209i
\(577\) −20.2125 −0.841457 −0.420729 0.907187i \(-0.638226\pi\)
−0.420729 + 0.907187i \(0.638226\pi\)
\(578\) −22.8308 2.68280i −0.949638 0.111590i
\(579\) 3.91312 9.15877i 0.162624 0.380626i
\(580\) 20.0834 + 4.78599i 0.833919 + 0.198728i
\(581\) −7.95381 2.13122i −0.329980 0.0884178i
\(582\) 14.1900 0.0404328i 0.588196 0.00167599i
\(583\) −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
\(587\) 1.58919 0.425823i 0.0655930 0.0175756i −0.225873 0.974157i \(-0.572524\pi\)
0.291466 + 0.956581i \(0.405857\pi\)
\(588\) −13.3910 + 18.0714i −0.552237 + 0.745253i
\(589\) 3.56262 + 0.954602i 0.146795 + 0.0393337i
\(590\) 13.3283 17.8801i 0.548719 0.736111i
\(591\) 1.24988 + 0.178658i 0.0514131 + 0.00734902i
\(592\) −12.2850 37.3822i −0.504910 1.53640i
\(593\) 35.7642i 1.46866i −0.678793 0.734329i \(-0.737497\pi\)
0.678793 0.734329i \(-0.262503\pi\)
\(594\) −15.1960 + 8.38647i −0.623501 + 0.344101i
\(595\) −0.521182 0.521182i −0.0213664 0.0213664i
\(596\) 20.3047 + 10.9805i 0.831712 + 0.449778i
\(597\) −22.5055 30.0125i −0.921090 1.22833i
\(598\) 5.65839 0.825274i 0.231389 0.0337479i
\(599\) −24.2410 + 13.9955i −0.990460 + 0.571842i −0.905412 0.424535i \(-0.860438\pi\)
−0.0850481 + 0.996377i \(0.527104\pi\)
\(600\) −3.99691 + 16.9867i −0.163173 + 0.693479i
\(601\) 9.43704 + 5.44848i 0.384945 + 0.222248i 0.679968 0.733242i \(-0.261994\pi\)
−0.295023 + 0.955490i \(0.595327\pi\)
\(602\) 11.6592 + 4.64023i 0.475194 + 0.189122i
\(603\) 18.3072 + 11.1176i 0.745527 + 0.452745i
\(604\) 13.1841 13.9399i 0.536455 0.567208i
\(605\) −6.27927 + 1.68253i −0.255289 + 0.0684044i
\(606\) 16.1141 16.2062i 0.654589 0.658330i
\(607\) 36.6954 21.1861i 1.48942 0.859916i 0.489492 0.872008i \(-0.337182\pi\)
0.999927 + 0.0120914i \(0.00384892\pi\)
\(608\) 0.860041 + 4.23093i 0.0348793 + 0.171587i
\(609\) 9.85397 3.95432i 0.399303 0.160237i
\(610\) −0.112346 + 0.956077i −0.00454877 + 0.0387104i
\(611\) 9.44695 9.44695i 0.382183 0.382183i
\(612\) 4.49990 + 2.56394i 0.181898 + 0.103641i
\(613\) 11.5060 + 11.5060i 0.464722 + 0.464722i 0.900200 0.435477i \(-0.143420\pi\)
−0.435477 + 0.900200i \(0.643420\pi\)
\(614\) 7.34643 + 9.30285i 0.296478 + 0.375432i
\(615\) 8.13205 10.3582i 0.327916 0.417684i
\(616\) 2.73581 3.89181i 0.110229 0.156806i
\(617\) 0.520100 + 0.900840i 0.0209384 + 0.0362665i 0.876305 0.481757i \(-0.160001\pi\)
−0.855366 + 0.518024i \(0.826668\pi\)
\(618\) −4.92596 + 8.58843i −0.198151 + 0.345477i
\(619\) 4.73131 + 17.6575i 0.190167 + 0.709714i 0.993465 + 0.114136i \(0.0364101\pi\)
−0.803298 + 0.595578i \(0.796923\pi\)
\(620\) −11.5851 + 0.322812i −0.465270 + 0.0129645i
\(621\) 2.62699 3.19765i 0.105418 0.128317i
\(622\) −33.8820 + 14.5905i −1.35854 + 0.585026i
\(623\) −1.55069 + 2.68588i −0.0621272 + 0.107608i
\(624\) −3.03051 + 35.0433i −0.121318 + 1.40285i
\(625\) 2.74947 + 4.76221i 0.109979 + 0.190489i
\(626\) 0.705320 + 0.525767i 0.0281902 + 0.0210139i
\(627\) 0.373227 + 3.09996i 0.0149052 + 0.123801i
\(628\) 19.2135 + 10.3904i 0.766701 + 0.414621i
\(629\) −6.00428 + 6.00428i −0.239406 + 0.239406i
\(630\) −1.35878 3.35829i −0.0541350 0.133797i
\(631\) 18.9729 0.755301 0.377650 0.925948i \(-0.376732\pi\)
0.377650 + 0.925948i \(0.376732\pi\)
\(632\) 1.76358 + 2.10965i 0.0701513 + 0.0839174i
\(633\) −3.74054 + 1.50105i −0.148673 + 0.0596614i
\(634\) 19.8535 2.89562i 0.788484 0.115000i
\(635\) −2.23971 + 8.35872i −0.0888803 + 0.331706i
\(636\) 40.4232 + 15.9547i 1.60289 + 0.632644i
\(637\) 8.53175 + 31.8409i 0.338040 + 1.26158i
\(638\) 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 0.625182 0.780479i \(-0.285025\pi\)
−0.363323 + 0.931663i \(0.618358\pi\)
\(642\) 7.02271 26.5110i 0.277164 1.04631i
\(643\) 4.91116 18.3287i 0.193677 0.722813i −0.798928 0.601427i \(-0.794599\pi\)
0.992605 0.121387i \(-0.0387341\pi\)
\(644\) −0.262939 + 1.10337i −0.0103612 + 0.0434788i
\(645\) 20.7056 15.5266i 0.815284 0.611359i
\(646\) 0.731184 0.577414i 0.0287681 0.0227181i
\(647\) 1.59451i 0.0626865i 0.999509 + 0.0313432i \(0.00997849\pi\)
−0.999509 + 0.0313432i \(0.990022\pi\)
\(648\) 15.4454 + 20.2346i 0.606751 + 0.794892i
\(649\) 31.0610i 1.21925i
\(650\) 15.8504 + 20.0715i 0.621703 + 0.787268i
\(651\) −4.76857 + 3.57582i −0.186895 + 0.140147i
\(652\) 15.5071 + 25.2102i 0.607304 + 0.987308i
\(653\) −0.359845 + 1.34296i −0.0140818 + 0.0525540i −0.972609 0.232446i \(-0.925327\pi\)
0.958527 + 0.285000i \(0.0919937\pi\)
\(654\) 27.6416 + 7.32220i 1.08087 + 0.286321i
\(655\) 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
\(659\) 7.51827 + 28.0586i 0.292870 + 1.09301i 0.942894 + 0.333093i \(0.108092\pi\)
−0.650024 + 0.759914i \(0.725241\pi\)
\(660\) −3.90615 9.00016i −0.152047 0.350331i
\(661\) 0.0811214 0.302749i 0.00315526 0.0117756i −0.964330 0.264702i \(-0.914726\pi\)
0.967486 + 0.252926i \(0.0813931\pi\)
\(662\) 2.18841 + 15.0046i 0.0850548 + 0.583169i
\(663\) 7.04435 2.82684i 0.273580 0.109786i
\(664\) −2.91078 + 32.5771i −0.112960 + 1.26424i
\(665\) −0.651712 −0.0252723
\(666\) −38.6892 + 15.6538i −1.49917 + 0.606573i
\(667\) −4.84807 + 4.84807i −0.187718 + 0.187718i
\(668\) 25.4652 7.58962i 0.985278 0.293651i
\(669\) 3.91125 + 32.4862i 0.151218 + 1.25599i
\(670\) −7.23601 + 9.70716i −0.279551 + 0.375020i
\(671\) 0.670391 + 1.16115i 0.0258802 + 0.0448257i
\(672\) −6.23614 3.12889i −0.240564 0.120700i
\(673\) −14.6918 + 25.4470i −0.566329 + 0.980911i 0.430595 + 0.902545i \(0.358304\pi\)
−0.996925 + 0.0783659i \(0.975030\pi\)
\(674\) 6.61407 + 15.3591i 0.254764 + 0.591612i
\(675\) 18.2604 + 3.02442i 0.702843 + 0.116410i
\(676\) 18.5632 + 17.5567i 0.713969 + 0.675259i
\(677\) −1.89270 7.06366i −0.0727424 0.271478i 0.919969 0.391990i \(-0.128213\pi\)
−0.992712 + 0.120511i \(0.961547\pi\)
\(678\) 16.4497 + 9.43483i 0.631746 + 0.362342i
\(679\) 2.06261 + 3.57254i 0.0791556 + 0.137102i
\(680\) −1.68363 + 2.39505i −0.0645644 + 0.0918459i
\(681\) −8.72736 + 11.1165i −0.334433 + 0.425985i
\(682\) −12.6682 + 10.0040i −0.485090 + 0.383074i
\(683\) −20.6264 20.6264i −0.789247 0.789247i 0.192123 0.981371i \(-0.438463\pi\)
−0.981371 + 0.192123i \(0.938463\pi\)
\(684\) 4.41649 1.21041i 0.168869 0.0462812i
\(685\) −4.62083 + 4.62083i −0.176553 + 0.176553i
\(686\) −13.4952 1.58579i −0.515250 0.0605458i
\(687\) 12.1698 4.88363i 0.464305 0.186322i
\(688\) 10.1994 48.7884i 0.388847 1.86004i
\(689\) 55.1583 31.8456i 2.10136 1.21322i
\(690\) 1.65885 + 1.64943i 0.0631514 + 0.0627925i
\(691\) 1.74504 0.467582i 0.0663844 0.0177876i −0.225474 0.974249i \(-0.572393\pi\)
0.291858 + 0.956462i \(0.405726\pi\)
\(692\) −15.0717 + 0.419964i −0.572941 + 0.0159647i
\(693\) −4.31279 2.61908i −0.163829 0.0994907i
\(694\) 0.179817 0.451816i 0.00682577 0.0171507i
\(695\) 15.4593 + 8.92542i 0.586404 + 0.338560i
\(696\) −22.1983 35.8589i −0.841423 1.35923i
\(697\) −4.73979 + 2.73652i −0.179532 + 0.103653i
\(698\) 5.05314 + 34.6463i 0.191264 + 1.31138i
\(699\) −7.04467 9.39449i −0.266454 0.355332i
\(700\) −4.86175 + 1.44899i −0.183757 + 0.0547667i
\(701\) −31.2193 31.2193i −1.17914 1.17914i −0.979964 0.199174i \(-0.936174\pi\)
−0.199174 0.979964i \(-0.563826\pi\)
\(702\) 37.3008 + 0.720332i 1.40783 + 0.0271872i
\(703\) 7.50805i 0.283171i
\(704\) −17.0955 8.04880i −0.644311 0.303351i
\(705\) 5.41053 + 0.773384i 0.203772 + 0.0291273i
\(706\) 7.54633 + 5.62526i 0.284010 + 0.211709i
\(707\) 6.41751 + 1.71957i 0.241355 + 0.0646709i
\(708\) −45.0593 + 6.70305i −1.69343 + 0.251916i
\(709\) 18.6747 5.00387i 0.701344 0.187924i 0.109511 0.993986i \(-0.465071\pi\)
0.591832 + 0.806061i \(0.298405\pi\)
\(710\) 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
\(714\) 0.00429006 + 1.50561i 0.000160551 + 0.0563461i
\(715\) −13.8893 3.72162i −0.519430 0.139181i
\(716\) −36.3890 + 22.3832i −1.35992 + 0.836501i
\(717\) 12.9084 30.2125i 0.482074 1.12831i
\(718\) 4.25375 36.1998i 0.158749 1.35097i
\(719\) −5.23889 −0.195378 −0.0976889 0.995217i \(-0.531145\pi\)
−0.0976889 + 0.995217i \(0.531145\pi\)
\(720\) −12.2133 + 7.60881i −0.455163 + 0.283564i
\(721\) −2.87828 −0.107193
\(722\) −3.03972 + 25.8683i −0.113127 + 0.962718i
\(723\) 0.176282 0.0212238i 0.00655599 0.000789323i
\(724\) −4.57748 7.44173i −0.170121 0.276570i
\(725\) −29.6200 7.93665i −1.10006 0.294760i
\(726\) 11.5191 + 6.60686i 0.427513 + 0.245203i
\(727\) 20.0812 34.7817i 0.744772 1.28998i −0.205530 0.978651i \(-0.565892\pi\)
0.950301 0.311332i \(-0.100775\pi\)
\(728\) −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
\(731\) −10.3894 + 2.78383i −0.384266 + 0.102964i
\(732\) 1.53978 1.22310i 0.0569118 0.0452070i
\(733\) 46.0065 + 12.3274i 1.69929 + 0.455324i 0.972761 0.231811i \(-0.0744652\pi\)
0.726530 + 0.687135i \(0.241132\pi\)
\(734\) −13.9684 10.4124i −0.515582 0.384330i
\(735\) −8.32747 + 10.6072i −0.307164 + 0.391251i
\(736\) 4.49683 + 0.275806i 0.165755 + 0.0101664i
\(737\) 16.8631i 0.621161i
\(738\) −26.6985 + 3.29163i −0.982786 + 0.121167i
\(739\) 9.18363 + 9.18363i 0.337825 + 0.337825i 0.855548 0.517723i \(-0.173220\pi\)
−0.517723 + 0.855548i \(0.673220\pi\)
\(740\) −6.73851 22.6095i −0.247713 0.831142i
\(741\) 2.63689 6.17172i 0.0968686 0.226724i
\(742\) 1.82333 + 12.5014i 0.0669364 + 0.458942i
\(743\) −42.0760 + 24.2926i −1.54362 + 0.891208i −0.545011 + 0.838429i \(0.683475\pi\)
−0.998606 + 0.0527792i \(0.983192\pi\)
\(744\) 17.2464 + 16.2185i 0.632284 + 0.594598i
\(745\) 11.9859 + 6.92004i 0.439128 + 0.253531i
\(746\) 14.5117 36.4628i 0.531313 1.33500i
\(747\) 34.6824 + 0.768633i 1.26896 + 0.0281228i
\(748\) 0.113575 + 4.07597i 0.00415270 + 0.149032i
\(749\) 7.70120 2.06353i 0.281396 0.0753998i
\(750\) −6.43981 + 24.3105i −0.235148 + 0.887696i
\(751\) −25.5639 + 14.7593i −0.932839 + 0.538575i −0.887708 0.460406i \(-0.847704\pi\)
−0.0451310 + 0.998981i \(0.514371\pi\)
\(752\) 8.80860 5.76247i 0.321216 0.210136i
\(753\) −2.28464 + 15.9832i −0.0832571 + 0.582459i
\(754\) −61.3868 7.21341i −2.23558 0.262697i
\(755\) 8.13448 8.13448i 0.296044 0.296044i
\(756\) −2.86872 + 6.82164i −0.104334 + 0.248101i
\(757\) 30.3982 + 30.3982i 1.10484 + 1.10484i 0.993818 + 0.111022i \(0.0354123\pi\)
0.111022 + 0.993818i \(0.464588\pi\)
\(758\) 31.8247 25.1319i 1.15593 0.912832i
\(759\) 3.22540 + 0.461041i 0.117075 + 0.0167347i
\(760\) 0.444794 + 2.55009i 0.0161344 + 0.0925015i
\(761\) 2.97086 + 5.14568i 0.107694 + 0.186531i 0.914836 0.403827i \(-0.132320\pi\)
−0.807142 + 0.590357i \(0.798987\pi\)
\(762\) 15.2834 8.88203i 0.553659 0.321762i
\(763\) 2.15153 + 8.02963i 0.0778907 + 0.290692i
\(764\) −6.88459 + 7.27926i −0.249076 + 0.263354i
\(765\) 2.65412 + 1.61180i 0.0959598 + 0.0582747i
\(766\) −14.5001 33.6721i −0.523911 1.21662i
\(767\) −33.3825 + 57.8201i −1.20537 + 2.08776i
\(768\) −7.98691 + 26.5369i −0.288203 + 0.957569i
\(769\) −6.00863 10.4073i −0.216677 0.375295i 0.737113 0.675769i \(-0.236188\pi\)
−0.953790 + 0.300474i \(0.902855\pi\)
\(770\) 1.70465 2.28680i 0.0614313 0.0824106i
\(771\) −26.3132 11.2424i −0.947648 0.404887i
\(772\) −3.28480 11.0214i −0.118223 0.396668i
\(773\) −22.2746 + 22.2746i −0.801163 + 0.801163i −0.983277