Properties

Label 115.2.j.a.4.9
Level $115$
Weight $2$
Character 115.4
Analytic conductor $0.918$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 115 = 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 115.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.918279623245\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(10\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 115.4
Dual form 115.2.j.a.29.9

$q$-expansion

\(f(q)\) \(=\) \(q+(1.55935 - 0.712130i) q^{2} +(0.478796 + 1.63063i) q^{3} +(0.614711 - 0.709414i) q^{4} +(1.15098 - 1.91709i) q^{5} +(1.90783 + 2.20175i) q^{6} +(-4.84873 + 0.697142i) q^{7} +(-0.512574 + 1.74567i) q^{8} +(0.0940571 - 0.0604468i) q^{9} +O(q^{10})\) \(q+(1.55935 - 0.712130i) q^{2} +(0.478796 + 1.63063i) q^{3} +(0.614711 - 0.709414i) q^{4} +(1.15098 - 1.91709i) q^{5} +(1.90783 + 2.20175i) q^{6} +(-4.84873 + 0.697142i) q^{7} +(-0.512574 + 1.74567i) q^{8} +(0.0940571 - 0.0604468i) q^{9} +(0.429565 - 3.80906i) q^{10} +(1.53428 - 3.35960i) q^{11} +(1.45111 + 0.662701i) q^{12} +(-2.46303 - 0.354130i) q^{13} +(-7.06439 + 4.54001i) q^{14} +(3.67715 + 0.958931i) q^{15} +(0.711039 + 4.94539i) q^{16} +(2.98808 - 2.58919i) q^{17} +(0.103622 - 0.161238i) q^{18} +(-1.98999 + 2.29657i) q^{19} +(-0.652489 - 1.99498i) q^{20} +(-3.45833 - 7.57269i) q^{21} -6.33138i q^{22} +(-4.46862 + 1.74111i) q^{23} -3.09195 q^{24} +(-2.35047 - 4.41308i) q^{25} +(-4.09291 + 1.20179i) q^{26} +(3.99672 + 3.46318i) q^{27} +(-2.48600 + 3.86830i) q^{28} +(3.40111 + 3.92509i) q^{29} +(6.41683 - 1.12330i) q^{30} +(0.607241 + 0.178302i) q^{31} +(2.66327 + 4.14413i) q^{32} +(6.21286 + 0.893275i) q^{33} +(2.81562 - 6.16535i) q^{34} +(-4.24432 + 10.0979i) q^{35} +(0.0149361 - 0.103883i) q^{36} +(4.00078 + 6.22534i) q^{37} +(-1.46763 + 4.99829i) q^{38} +(-0.601834 - 4.18585i) q^{39} +(2.75664 + 2.99188i) q^{40} +(-1.59379 - 1.02426i) q^{41} +(-10.7855 - 9.34566i) q^{42} +(-0.621529 - 2.11673i) q^{43} +(-1.44021 - 3.15362i) q^{44} +(-0.00762390 - 0.249889i) q^{45} +(-5.72822 + 5.89723i) q^{46} -5.14725i q^{47} +(-7.72364 + 3.52727i) q^{48} +(16.3077 - 4.78838i) q^{49} +(-6.80789 - 5.20768i) q^{50} +(5.65269 + 3.63276i) q^{51} +(-1.76528 + 1.52962i) q^{52} +(3.88497 - 0.558574i) q^{53} +(8.69850 + 2.55411i) q^{54} +(-4.67473 - 6.80819i) q^{55} +(1.26835 - 8.82160i) q^{56} +(-4.69766 - 2.14535i) q^{57} +(8.09869 + 3.69855i) q^{58} +(-0.185497 + 1.29016i) q^{59} +(2.94066 - 2.01916i) q^{60} +(-8.33574 - 2.44759i) q^{61} +(1.07387 - 0.154400i) q^{62} +(-0.413917 + 0.358661i) q^{63} +(-1.30210 - 0.836806i) q^{64} +(-3.51381 + 4.31426i) q^{65} +(10.3241 - 3.03144i) q^{66} +(12.2593 - 5.59863i) q^{67} -3.71139i q^{68} +(-4.97866 - 6.45301i) q^{69} +(0.572612 + 18.7686i) q^{70} +(0.908041 + 1.98833i) q^{71} +(0.0573088 + 0.195176i) q^{72} +(-3.52676 - 3.05595i) q^{73} +(10.6718 + 6.85838i) q^{74} +(6.07070 - 5.94571i) q^{75} +(0.405952 + 2.82346i) q^{76} +(-5.09718 + 17.3594i) q^{77} +(-3.91933 - 6.09860i) q^{78} +(-1.02519 + 7.13037i) q^{79} +(10.2991 + 4.32893i) q^{80} +(-3.59420 + 7.87021i) q^{81} +(-3.21467 - 0.462200i) q^{82} +(-5.15171 - 8.01621i) q^{83} +(-7.49804 - 2.20162i) q^{84} +(-1.52448 - 8.70854i) q^{85} +(-2.47657 - 2.85811i) q^{86} +(-4.77193 + 7.42527i) q^{87} +(5.07831 + 4.40038i) q^{88} +(-5.44996 + 1.60025i) q^{89} +(-0.189842 - 0.384235i) q^{90} +12.1895 q^{91} +(-1.51174 + 4.24038i) q^{92} +1.07556i q^{93} +(-3.66551 - 8.02635i) q^{94} +(2.11229 + 6.45831i) q^{95} +(-5.48237 + 6.32699i) q^{96} +(2.18994 - 3.40761i) q^{97} +(22.0194 - 19.0799i) q^{98} +(-0.0587674 - 0.408736i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} + O(q^{10}) \) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} - 13q^{10} - 26q^{11} - 26q^{14} - 10q^{15} - 18q^{16} - 14q^{19} + 49q^{20} - 22q^{21} - 68q^{24} + 21q^{25} - 42q^{26} - 24q^{29} + 19q^{30} - 12q^{31} + 8q^{34} - 37q^{35} - 10q^{36} + 14q^{39} - q^{40} + 8q^{41} + 166q^{44} - 42q^{45} - 18q^{46} + 32q^{49} - 23q^{50} - 22q^{51} + 116q^{54} + 27q^{55} - 116q^{56} + 50q^{59} + 123q^{60} - 38q^{61} + 10q^{64} + 76q^{65} - 28q^{66} + 80q^{69} + 102q^{70} - 110q^{71} + 22q^{74} + 6q^{75} + 4q^{76} + 42q^{79} + 18q^{80} + 204q^{81} + 56q^{84} - 121q^{85} + 132q^{86} - 66q^{89} - 198q^{90} + 76q^{91} - 70q^{94} - 74q^{95} + 236q^{96} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.55935 0.712130i 1.10262 0.503552i 0.220890 0.975299i \(-0.429104\pi\)
0.881734 + 0.471747i \(0.156376\pi\)
\(3\) 0.478796 + 1.63063i 0.276433 + 0.941444i 0.974307 + 0.225223i \(0.0723112\pi\)
−0.697874 + 0.716220i \(0.745871\pi\)
\(4\) 0.614711 0.709414i 0.307355 0.354707i
\(5\) 1.15098 1.91709i 0.514735 0.857349i
\(6\) 1.90783 + 2.20175i 0.778867 + 0.898861i
\(7\) −4.84873 + 0.697142i −1.83265 + 0.263495i −0.970139 0.242548i \(-0.922017\pi\)
−0.862508 + 0.506043i \(0.831108\pi\)
\(8\) −0.512574 + 1.74567i −0.181222 + 0.617186i
\(9\) 0.0940571 0.0604468i 0.0313524 0.0201489i
\(10\) 0.429565 3.80906i 0.135840 1.20453i
\(11\) 1.53428 3.35960i 0.462602 1.01296i −0.524285 0.851543i \(-0.675667\pi\)
0.986887 0.161414i \(-0.0516055\pi\)
\(12\) 1.45111 + 0.662701i 0.418900 + 0.191305i
\(13\) −2.46303 0.354130i −0.683122 0.0982181i −0.207988 0.978131i \(-0.566691\pi\)
−0.475134 + 0.879913i \(0.657601\pi\)
\(14\) −7.06439 + 4.54001i −1.88804 + 1.21337i
\(15\) 3.67715 + 0.958931i 0.949436 + 0.247595i
\(16\) 0.711039 + 4.94539i 0.177760 + 1.23635i
\(17\) 2.98808 2.58919i 0.724717 0.627971i −0.212320 0.977200i \(-0.568102\pi\)
0.937037 + 0.349229i \(0.113557\pi\)
\(18\) 0.103622 0.161238i 0.0244239 0.0380043i
\(19\) −1.98999 + 2.29657i −0.456536 + 0.526870i −0.936618 0.350354i \(-0.886061\pi\)
0.480082 + 0.877224i \(0.340607\pi\)
\(20\) −0.652489 1.99498i −0.145901 0.446091i
\(21\) −3.45833 7.57269i −0.754669 1.65250i
\(22\) 6.33138i 1.34986i
\(23\) −4.46862 + 1.74111i −0.931771 + 0.363047i
\(24\) −3.09195 −0.631142
\(25\) −2.35047 4.41308i −0.470095 0.882616i
\(26\) −4.09291 + 1.20179i −0.802685 + 0.235690i
\(27\) 3.99672 + 3.46318i 0.769169 + 0.666489i
\(28\) −2.48600 + 3.86830i −0.469811 + 0.731040i
\(29\) 3.40111 + 3.92509i 0.631571 + 0.728872i 0.977861 0.209256i \(-0.0671041\pi\)
−0.346290 + 0.938128i \(0.612559\pi\)
\(30\) 6.41683 1.12330i 1.17155 0.205086i
\(31\) 0.607241 + 0.178302i 0.109064 + 0.0320240i 0.335809 0.941930i \(-0.390990\pi\)
−0.226745 + 0.973954i \(0.572808\pi\)
\(32\) 2.66327 + 4.14413i 0.470804 + 0.732585i
\(33\) 6.21286 + 0.893275i 1.08152 + 0.155499i
\(34\) 2.81562 6.16535i 0.482875 1.05735i
\(35\) −4.24432 + 10.0979i −0.717421 + 1.70685i
\(36\) 0.0149361 0.103883i 0.00248935 0.0173138i
\(37\) 4.00078 + 6.22534i 0.657724 + 1.02344i 0.996583 + 0.0826016i \(0.0263229\pi\)
−0.338858 + 0.940837i \(0.610041\pi\)
\(38\) −1.46763 + 4.99829i −0.238081 + 0.810829i
\(39\) −0.601834 4.18585i −0.0963705 0.670272i
\(40\) 2.75664 + 2.99188i 0.435862 + 0.473058i
\(41\) −1.59379 1.02426i −0.248907 0.159963i 0.410238 0.911978i \(-0.365446\pi\)
−0.659146 + 0.752015i \(0.729082\pi\)
\(42\) −10.7855 9.34566i −1.66423 1.44207i
\(43\) −0.621529 2.11673i −0.0947822 0.322799i 0.898430 0.439117i \(-0.144709\pi\)
−0.993212 + 0.116319i \(0.962891\pi\)
\(44\) −1.44021 3.15362i −0.217120 0.475426i
\(45\) −0.00762390 0.249889i −0.00113650 0.0372513i
\(46\) −5.72822 + 5.89723i −0.844580 + 0.869499i
\(47\) 5.14725i 0.750804i −0.926862 0.375402i \(-0.877505\pi\)
0.926862 0.375402i \(-0.122495\pi\)
\(48\) −7.72364 + 3.52727i −1.11481 + 0.509118i
\(49\) 16.3077 4.78838i 2.32967 0.684054i
\(50\) −6.80789 5.20768i −0.962781 0.736477i
\(51\) 5.65269 + 3.63276i 0.791535 + 0.508688i
\(52\) −1.76528 + 1.52962i −0.244800 + 0.212120i
\(53\) 3.88497 0.558574i 0.533641 0.0767260i 0.129774 0.991544i \(-0.458575\pi\)
0.403867 + 0.914818i \(0.367666\pi\)
\(54\) 8.69850 + 2.55411i 1.18372 + 0.347570i
\(55\) −4.67473 6.80819i −0.630340 0.918017i
\(56\) 1.26835 8.82160i 0.169491 1.17884i
\(57\) −4.69766 2.14535i −0.622220 0.284158i
\(58\) 8.09869 + 3.69855i 1.06341 + 0.485643i
\(59\) −0.185497 + 1.29016i −0.0241497 + 0.167965i −0.998327 0.0578193i \(-0.981585\pi\)
0.974177 + 0.225784i \(0.0724944\pi\)
\(60\) 2.94066 2.01916i 0.379638 0.260672i
\(61\) −8.33574 2.44759i −1.06728 0.313382i −0.299502 0.954096i \(-0.596821\pi\)
−0.767780 + 0.640713i \(0.778639\pi\)
\(62\) 1.07387 0.154400i 0.136382 0.0196088i
\(63\) −0.413917 + 0.358661i −0.0521487 + 0.0451871i
\(64\) −1.30210 0.836806i −0.162762 0.104601i
\(65\) −3.51381 + 4.31426i −0.435834 + 0.535118i
\(66\) 10.3241 3.03144i 1.27081 0.373144i
\(67\) 12.2593 5.59863i 1.49771 0.683982i 0.513034 0.858368i \(-0.328522\pi\)
0.984677 + 0.174387i \(0.0557943\pi\)
\(68\) 3.71139i 0.450072i
\(69\) −4.97866 6.45301i −0.599361 0.776852i
\(70\) 0.572612 + 18.7686i 0.0684402 + 2.24327i
\(71\) 0.908041 + 1.98833i 0.107765 + 0.235972i 0.955830 0.293920i \(-0.0949599\pi\)
−0.848065 + 0.529891i \(0.822233\pi\)
\(72\) 0.0573088 + 0.195176i 0.00675390 + 0.0230017i
\(73\) −3.52676 3.05595i −0.412776 0.357672i 0.423580 0.905859i \(-0.360773\pi\)
−0.836356 + 0.548186i \(0.815319\pi\)
\(74\) 10.6718 + 6.85838i 1.24058 + 0.797271i
\(75\) 6.07070 5.94571i 0.700984 0.686552i
\(76\) 0.405952 + 2.82346i 0.0465659 + 0.323873i
\(77\) −5.09718 + 17.3594i −0.580877 + 1.97829i
\(78\) −3.91933 6.09860i −0.443777 0.690530i
\(79\) −1.02519 + 7.13037i −0.115343 + 0.802229i 0.847234 + 0.531220i \(0.178266\pi\)
−0.962577 + 0.271009i \(0.912643\pi\)
\(80\) 10.2991 + 4.32893i 1.15148 + 0.483989i
\(81\) −3.59420 + 7.87021i −0.399356 + 0.874468i
\(82\) −3.21467 0.462200i −0.355001 0.0510415i
\(83\) −5.15171 8.01621i −0.565473 0.879893i 0.434309 0.900764i \(-0.356993\pi\)
−0.999782 + 0.0208705i \(0.993356\pi\)
\(84\) −7.49804 2.20162i −0.818104 0.240217i
\(85\) −1.52448 8.70854i −0.165353 0.944574i
\(86\) −2.47657 2.85811i −0.267055 0.308198i
\(87\) −4.77193 + 7.42527i −0.511605 + 0.796073i
\(88\) 5.07831 + 4.40038i 0.541349 + 0.469082i
\(89\) −5.44996 + 1.60025i −0.577695 + 0.169627i −0.557511 0.830170i \(-0.688243\pi\)
−0.0201842 + 0.999796i \(0.506425\pi\)
\(90\) −0.189842 0.384235i −0.0200111 0.0405019i
\(91\) 12.1895 1.27780
\(92\) −1.51174 + 4.24038i −0.157609 + 0.442090i
\(93\) 1.07556i 0.111530i
\(94\) −3.66551 8.02635i −0.378069 0.827855i
\(95\) 2.11229 + 6.45831i 0.216717 + 0.662609i
\(96\) −5.48237 + 6.32699i −0.559542 + 0.645746i
\(97\) 2.18994 3.40761i 0.222355 0.345990i −0.712097 0.702081i \(-0.752254\pi\)
0.934451 + 0.356091i \(0.115891\pi\)
\(98\) 22.0194 19.0799i 2.22430 1.92737i
\(99\) −0.0587674 0.408736i −0.00590635 0.0410796i
\(100\) −4.57556 1.04531i −0.457556 0.104531i
\(101\) −3.63513 + 2.33616i −0.361709 + 0.232456i −0.708854 0.705355i \(-0.750788\pi\)
0.347145 + 0.937812i \(0.387151\pi\)
\(102\) 11.4015 + 1.63929i 1.12892 + 0.162314i
\(103\) −0.765283 0.349493i −0.0754056 0.0344366i 0.377355 0.926069i \(-0.376834\pi\)
−0.452761 + 0.891632i \(0.649561\pi\)
\(104\) 1.88068 4.11811i 0.184416 0.403814i
\(105\) −18.4980 2.08610i −1.80522 0.203583i
\(106\) 5.66023 3.63761i 0.549770 0.353316i
\(107\) −2.42498 + 8.25871i −0.234431 + 0.798400i 0.755290 + 0.655391i \(0.227496\pi\)
−0.989721 + 0.143009i \(0.954322\pi\)
\(108\) 4.91365 0.706477i 0.472817 0.0679808i
\(109\) −3.13162 3.61408i −0.299955 0.346166i 0.585685 0.810538i \(-0.300825\pi\)
−0.885640 + 0.464372i \(0.846280\pi\)
\(110\) −12.1378 7.28732i −1.15730 0.694818i
\(111\) −8.23565 + 9.50445i −0.781694 + 0.902123i
\(112\) −6.89527 23.4831i −0.651542 2.21895i
\(113\) −3.38968 + 1.54802i −0.318874 + 0.145625i −0.568421 0.822738i \(-0.692446\pi\)
0.249547 + 0.968363i \(0.419718\pi\)
\(114\) −8.85304 −0.829163
\(115\) −1.80543 + 10.5707i −0.168357 + 0.985726i
\(116\) 4.87522 0.452653
\(117\) −0.253072 + 0.115574i −0.0233965 + 0.0106848i
\(118\) 0.629507 + 2.14391i 0.0579509 + 0.197362i
\(119\) −12.6834 + 14.6374i −1.16268 + 1.34181i
\(120\) −3.55878 + 5.92755i −0.324871 + 0.541109i
\(121\) −1.72943 1.99587i −0.157221 0.181443i
\(122\) −14.7413 + 2.11948i −1.33462 + 0.191889i
\(123\) 0.907096 3.08928i 0.0817901 0.278551i
\(124\) 0.499768 0.321181i 0.0448805 0.0288429i
\(125\) −11.1656 0.573308i −0.998684 0.0512782i
\(126\) −0.390027 + 0.854040i −0.0347464 + 0.0760840i
\(127\) 6.62881 + 3.02728i 0.588212 + 0.268627i 0.687208 0.726460i \(-0.258836\pi\)
−0.0989965 + 0.995088i \(0.531563\pi\)
\(128\) −12.3783 1.77973i −1.09410 0.157308i
\(129\) 3.15402 2.02696i 0.277696 0.178464i
\(130\) −2.40693 + 9.22971i −0.211102 + 0.809499i
\(131\) −1.55066 10.7850i −0.135481 0.942294i −0.938239 0.345988i \(-0.887544\pi\)
0.802757 0.596306i \(-0.203365\pi\)
\(132\) 4.45282 3.85839i 0.387568 0.335830i
\(133\) 8.04790 12.5228i 0.697841 1.08586i
\(134\) 15.1295 17.4604i 1.30699 1.50835i
\(135\) 11.2394 3.67601i 0.967332 0.316381i
\(136\) 2.98825 + 6.54335i 0.256240 + 0.561087i
\(137\) 5.42807i 0.463751i −0.972745 0.231876i \(-0.925514\pi\)
0.972745 0.231876i \(-0.0744862\pi\)
\(138\) −12.3588 6.51703i −1.05205 0.554766i
\(139\) −10.6598 −0.904153 −0.452077 0.891979i \(-0.649317\pi\)
−0.452077 + 0.891979i \(0.649317\pi\)
\(140\) 4.55453 + 9.21824i 0.384928 + 0.779084i
\(141\) 8.39326 2.46448i 0.706840 0.207547i
\(142\) 2.83190 + 2.45385i 0.237648 + 0.205923i
\(143\) −4.96871 + 7.73147i −0.415504 + 0.646538i
\(144\) 0.365811 + 0.422169i 0.0304843 + 0.0351807i
\(145\) 11.4394 2.00253i 0.949989 0.166301i
\(146\) −7.67568 2.25378i −0.635243 0.186524i
\(147\) 15.6161 + 24.2992i 1.28800 + 2.00416i
\(148\) 6.87567 + 0.988572i 0.565176 + 0.0812601i
\(149\) −2.89949 + 6.34900i −0.237536 + 0.520130i −0.990431 0.138010i \(-0.955929\pi\)
0.752895 + 0.658140i \(0.228657\pi\)
\(150\) 5.23220 13.5945i 0.427207 1.10999i
\(151\) 0.323676 2.25121i 0.0263403 0.183201i −0.972404 0.233305i \(-0.925046\pi\)
0.998744 + 0.0501035i \(0.0159551\pi\)
\(152\) −2.98903 4.65102i −0.242443 0.377248i
\(153\) 0.124542 0.424152i 0.0100686 0.0342906i
\(154\) 4.41387 + 30.6992i 0.355680 + 2.47381i
\(155\) 1.04075 0.958914i 0.0835947 0.0770218i
\(156\) −3.33945 2.14614i −0.267370 0.171828i
\(157\) −12.9889 11.2550i −1.03663 0.898245i −0.0417321 0.999129i \(-0.513288\pi\)
−0.994898 + 0.100884i \(0.967833\pi\)
\(158\) 3.47912 + 11.8488i 0.276784 + 0.942638i
\(159\) 2.77093 + 6.06749i 0.219749 + 0.481183i
\(160\) 11.0100 0.335907i 0.870421 0.0265558i
\(161\) 20.4533 11.5574i 1.61195 0.910854i
\(162\) 14.8319i 1.16531i
\(163\) 6.99231 3.19328i 0.547680 0.250117i −0.122304 0.992493i \(-0.539028\pi\)
0.669984 + 0.742376i \(0.266301\pi\)
\(164\) −1.70634 + 0.501028i −0.133243 + 0.0391237i
\(165\) 8.86339 10.8825i 0.690014 0.847200i
\(166\) −13.7419 8.83137i −1.06658 0.685447i
\(167\) −8.81073 + 7.63454i −0.681795 + 0.590778i −0.925352 0.379108i \(-0.876231\pi\)
0.243558 + 0.969886i \(0.421685\pi\)
\(168\) 14.9920 2.15553i 1.15666 0.166303i
\(169\) −6.53229 1.91805i −0.502484 0.147543i
\(170\) −8.57880 12.4940i −0.657964 0.958247i
\(171\) −0.0483523 + 0.336298i −0.00369759 + 0.0257173i
\(172\) −1.88370 0.860257i −0.143631 0.0655940i
\(173\) 16.7154 + 7.63366i 1.27085 + 0.580376i 0.932678 0.360709i \(-0.117465\pi\)
0.338168 + 0.941086i \(0.390193\pi\)
\(174\) −2.15334 + 14.9768i −0.163244 + 1.13539i
\(175\) 14.4734 + 19.7592i 1.09408 + 1.49366i
\(176\) 17.7054 + 5.19879i 1.33460 + 0.391873i
\(177\) −2.19259 + 0.315247i −0.164805 + 0.0236954i
\(178\) −7.35879 + 6.37643i −0.551565 + 0.477934i
\(179\) 5.91576 + 3.80183i 0.442165 + 0.284162i 0.742720 0.669603i \(-0.233536\pi\)
−0.300555 + 0.953764i \(0.597172\pi\)
\(180\) −0.181962 0.148201i −0.0135626 0.0110463i
\(181\) −20.2451 + 5.94450i −1.50481 + 0.441851i −0.927232 0.374487i \(-0.877819\pi\)
−0.577574 + 0.816338i \(0.696001\pi\)
\(182\) 19.0076 8.68047i 1.40894 0.643439i
\(183\) 14.7644i 1.09142i
\(184\) −0.748907 8.69316i −0.0552102 0.640868i
\(185\) 16.5394 0.504601i 1.21600 0.0370990i
\(186\) 0.765935 + 1.67716i 0.0561611 + 0.122976i
\(187\) −4.11409 14.0113i −0.300852 1.02461i
\(188\) −3.65153 3.16407i −0.266316 0.230764i
\(189\) −21.7933 14.0057i −1.58523 1.01877i
\(190\) 7.89295 + 8.56652i 0.572615 + 0.621481i
\(191\) −2.25679 15.6963i −0.163295 1.13574i −0.892368 0.451308i \(-0.850958\pi\)
0.729073 0.684436i \(-0.239952\pi\)
\(192\) 0.741082 2.52389i 0.0534830 0.182146i
\(193\) 2.33343 + 3.63089i 0.167964 + 0.261357i 0.915024 0.403399i \(-0.132171\pi\)
−0.747060 + 0.664757i \(0.768535\pi\)
\(194\) 0.988212 6.87317i 0.0709495 0.493465i
\(195\) −8.71735 3.66407i −0.624262 0.262389i
\(196\) 6.62759 14.5124i 0.473399 1.03660i
\(197\) 10.3748 + 1.49167i 0.739173 + 0.106277i 0.501608 0.865095i \(-0.332742\pi\)
0.237564 + 0.971372i \(0.423651\pi\)
\(198\) −0.382712 0.595512i −0.0271982 0.0423212i
\(199\) 20.4018 + 5.99051i 1.44625 + 0.424656i 0.908299 0.418322i \(-0.137382\pi\)
0.537947 + 0.842978i \(0.319200\pi\)
\(200\) 8.90855 1.84111i 0.629930 0.130186i
\(201\) 14.9990 + 17.3098i 1.05795 + 1.22094i
\(202\) −4.00478 + 6.23157i −0.281776 + 0.438451i
\(203\) −19.2274 16.6607i −1.34950 1.16935i
\(204\) 6.05190 1.77700i 0.423718 0.124415i
\(205\) −3.79803 + 1.87652i −0.265266 + 0.131062i
\(206\) −1.44223 −0.100485
\(207\) −0.315060 + 0.433878i −0.0218982 + 0.0301566i
\(208\) 12.4324i 0.862035i
\(209\) 4.66237 + 10.2092i 0.322503 + 0.706182i
\(210\) −30.3304 + 9.92002i −2.09299 + 0.684547i
\(211\) 11.4047 13.1617i 0.785129 0.906087i −0.212340 0.977196i \(-0.568108\pi\)
0.997469 + 0.0711088i \(0.0226537\pi\)
\(212\) 1.99187 3.09941i 0.136802 0.212868i
\(213\) −2.80746 + 2.43268i −0.192364 + 0.166685i
\(214\) 2.09989 + 14.6051i 0.143546 + 0.998383i
\(215\) −4.77334 1.24480i −0.325539 0.0848944i
\(216\) −8.09416 + 5.20180i −0.550738 + 0.353938i
\(217\) −3.06865 0.441205i −0.208314 0.0299510i
\(218\) −7.45697 3.40548i −0.505050 0.230648i
\(219\) 3.29453 7.21401i 0.222624 0.487478i
\(220\) −7.70344 0.868751i −0.519366 0.0585712i
\(221\) −8.27666 + 5.31908i −0.556748 + 0.357800i
\(222\) −6.07384 + 20.6856i −0.407649 + 1.38833i
\(223\) −7.57323 + 1.08887i −0.507141 + 0.0729159i −0.391136 0.920333i \(-0.627918\pi\)
−0.116005 + 0.993249i \(0.537009\pi\)
\(224\) −15.8025 18.2371i −1.05585 1.21852i
\(225\) −0.487835 0.273003i −0.0325224 0.0182002i
\(226\) −4.18330 + 4.82779i −0.278269 + 0.321140i
\(227\) −5.35371 18.2331i −0.355338 1.21017i −0.922316 0.386437i \(-0.873706\pi\)
0.566978 0.823733i \(-0.308113\pi\)
\(228\) −4.40964 + 2.01382i −0.292036 + 0.133368i
\(229\) −0.322488 −0.0213106 −0.0106553 0.999943i \(-0.503392\pi\)
−0.0106553 + 0.999943i \(0.503392\pi\)
\(230\) 4.71244 + 17.7691i 0.310729 + 1.17166i
\(231\) −30.7472 −2.02302
\(232\) −8.59522 + 3.92531i −0.564304 + 0.257709i
\(233\) 2.82529 + 9.62204i 0.185091 + 0.630361i 0.998795 + 0.0490817i \(0.0156295\pi\)
−0.813704 + 0.581279i \(0.802552\pi\)
\(234\) −0.312323 + 0.360440i −0.0204172 + 0.0235627i
\(235\) −9.86775 5.92440i −0.643701 0.386465i
\(236\) 0.801231 + 0.924670i 0.0521557 + 0.0601909i
\(237\) −12.1178 + 1.74228i −0.787138 + 0.113173i
\(238\) −9.35405 + 31.8570i −0.606333 + 2.06498i
\(239\) 22.0940 14.1990i 1.42914 0.918455i 0.429260 0.903181i \(-0.358774\pi\)
0.999883 0.0152735i \(-0.00486188\pi\)
\(240\) −2.12769 + 18.8668i −0.137342 + 1.21784i
\(241\) −5.36944 + 11.7574i −0.345876 + 0.757362i 0.654124 + 0.756388i \(0.273038\pi\)
−1.00000 0.000974718i \(0.999690\pi\)
\(242\) −4.11810 1.88067i −0.264722 0.120894i
\(243\) 1.14949 + 0.165271i 0.0737397 + 0.0106022i
\(244\) −6.86043 + 4.40893i −0.439194 + 0.282253i
\(245\) 9.59016 36.7747i 0.612693 2.34945i
\(246\) −0.785495 5.46323i −0.0500813 0.348323i
\(247\) 5.71470 4.95182i 0.363618 0.315077i
\(248\) −0.622512 + 0.968647i −0.0395295 + 0.0615092i
\(249\) 10.6048 12.2386i 0.672055 0.775593i
\(250\) −17.8194 + 7.05739i −1.12699 + 0.446349i
\(251\) 11.9644 + 26.1984i 0.755186 + 1.65363i 0.756816 + 0.653627i \(0.226754\pi\)
−0.00163066 + 0.999999i \(0.500519\pi\)
\(252\) 0.514112i 0.0323860i
\(253\) −1.00665 + 17.6841i −0.0632878 + 1.11179i
\(254\) 12.4924 0.783844
\(255\) 13.4705 6.65547i 0.843554 0.416782i
\(256\) −17.5993 + 5.16761i −1.09995 + 0.322976i
\(257\) 18.7067 + 16.2094i 1.16689 + 1.01112i 0.999683 + 0.0251932i \(0.00802008\pi\)
0.167206 + 0.985922i \(0.446525\pi\)
\(258\) 3.47475 5.40681i 0.216328 0.336613i
\(259\) −23.7386 27.3959i −1.47505 1.70230i
\(260\) 0.900619 + 5.14477i 0.0558540 + 0.319065i
\(261\) 0.557158 + 0.163596i 0.0344872 + 0.0101264i
\(262\) −10.0984 15.7134i −0.623879 0.970774i
\(263\) 25.8445 + 3.71588i 1.59364 + 0.229131i 0.881250 0.472650i \(-0.156703\pi\)
0.712392 + 0.701781i \(0.247612\pi\)
\(264\) −4.74391 + 10.3877i −0.291967 + 0.639320i
\(265\) 3.40069 8.09074i 0.208903 0.497010i
\(266\) 3.63162 25.2585i 0.222669 1.54870i
\(267\) −5.21884 8.12067i −0.319388 0.496977i
\(268\) 3.56417 12.1385i 0.217716 0.741474i
\(269\) −1.87766 13.0594i −0.114483 0.796245i −0.963467 0.267827i \(-0.913694\pi\)
0.848984 0.528418i \(-0.177215\pi\)
\(270\) 14.9083 13.7361i 0.907290 0.835951i
\(271\) 7.36619 + 4.73396i 0.447464 + 0.287568i 0.744903 0.667173i \(-0.232496\pi\)
−0.297438 + 0.954741i \(0.596132\pi\)
\(272\) 14.9292 + 12.9362i 0.905215 + 0.784373i
\(273\) 5.83626 + 19.8765i 0.353226 + 1.20298i
\(274\) −3.86549 8.46424i −0.233523 0.511343i
\(275\) −18.4325 + 1.12576i −1.11152 + 0.0678861i
\(276\) −7.63830 0.434804i −0.459772 0.0261721i
\(277\) 19.9961i 1.20145i −0.799455 0.600726i \(-0.794878\pi\)
0.799455 0.600726i \(-0.205122\pi\)
\(278\) −16.6223 + 7.59117i −0.996941 + 0.455288i
\(279\) 0.0678932 0.0199352i 0.00406466 0.00119349i
\(280\) −15.4519 12.5851i −0.923431 0.752101i
\(281\) 11.8975 + 7.64609i 0.709748 + 0.456128i 0.845057 0.534676i \(-0.179566\pi\)
−0.135309 + 0.990803i \(0.543203\pi\)
\(282\) 11.3330 9.82007i 0.674868 0.584777i
\(283\) −28.6097 + 4.11346i −1.70067 + 0.244520i −0.923179 0.384371i \(-0.874418\pi\)
−0.777494 + 0.628891i \(0.783509\pi\)
\(284\) 1.96873 + 0.578072i 0.116823 + 0.0343023i
\(285\) −9.51975 + 6.53658i −0.563902 + 0.387193i
\(286\) −2.24214 + 15.5944i −0.132580 + 0.922116i
\(287\) 8.44189 + 3.85528i 0.498309 + 0.227570i
\(288\) 0.500999 + 0.228798i 0.0295216 + 0.0134821i
\(289\) −0.194608 + 1.35353i −0.0114476 + 0.0796195i
\(290\) 16.4119 11.2690i 0.963740 0.661736i
\(291\) 6.60508 + 1.93943i 0.387197 + 0.113691i
\(292\) −4.33588 + 0.623405i −0.253738 + 0.0364820i
\(293\) 4.43425 3.84230i 0.259051 0.224469i −0.515646 0.856802i \(-0.672448\pi\)
0.774697 + 0.632333i \(0.217902\pi\)
\(294\) 41.6551 + 26.7701i 2.42938 + 1.56126i
\(295\) 2.25985 + 1.84057i 0.131574 + 0.107162i
\(296\) −12.9181 + 3.79308i −0.750846 + 0.220468i
\(297\) 17.7670 8.11390i 1.03094 0.470816i
\(298\) 11.9651i 0.693120i
\(299\) 11.6229 2.70594i 0.672171 0.156489i
\(300\) −0.486251 7.96153i −0.0280737 0.459659i
\(301\) 4.48929 + 9.83017i 0.258758 + 0.566601i
\(302\) −1.09843 3.74092i −0.0632077 0.215266i
\(303\) −5.54989 4.80901i −0.318833 0.276270i
\(304\) −12.7724 8.20833i −0.732548 0.470780i
\(305\) −14.2866 + 13.1632i −0.818046 + 0.753724i
\(306\) −0.107847 0.750090i −0.00616518 0.0428798i
\(307\) −1.41724 + 4.82669i −0.0808863 + 0.275473i −0.989999 0.141078i \(-0.954943\pi\)
0.909112 + 0.416551i \(0.136761\pi\)
\(308\) 9.18171 + 14.2870i 0.523177 + 0.814079i
\(309\) 0.203479 1.41523i 0.0115755 0.0805095i
\(310\) 0.940013 2.23643i 0.0533891 0.127020i
\(311\) 0.100707 0.220516i 0.00571054 0.0125043i −0.906755 0.421657i \(-0.861449\pi\)
0.912466 + 0.409153i \(0.134176\pi\)
\(312\) 7.61557 + 1.09495i 0.431147 + 0.0619896i
\(313\) 3.64028 + 5.66438i 0.205761 + 0.320170i 0.928762 0.370677i \(-0.120874\pi\)
−0.723001 + 0.690847i \(0.757238\pi\)
\(314\) −28.2693 8.30060i −1.59533 0.468430i
\(315\) 0.211175 + 1.20633i 0.0118983 + 0.0679690i
\(316\) 4.42819 + 5.11040i 0.249105 + 0.287482i
\(317\) −4.52222 + 7.03671i −0.253993 + 0.395221i −0.944711 0.327903i \(-0.893658\pi\)
0.690718 + 0.723124i \(0.257294\pi\)
\(318\) 8.64168 + 7.48806i 0.484601 + 0.419909i
\(319\) 18.4050 5.40419i 1.03048 0.302577i
\(320\) −3.10292 + 1.53309i −0.173459 + 0.0857021i
\(321\) −14.6280 −0.816453
\(322\) 23.6634 32.5875i 1.31871 1.81603i
\(323\) 12.0148i 0.668523i
\(324\) 3.37384 + 7.38768i 0.187436 + 0.410427i
\(325\) 4.22649 + 11.7019i 0.234443 + 0.649106i
\(326\) 8.62940 9.95886i 0.477938 0.551570i
\(327\) 4.39382 6.83691i 0.242979 0.378082i
\(328\) 2.60495 2.25721i 0.143835 0.124633i
\(329\) 3.58837 + 24.9576i 0.197833 + 1.37596i
\(330\) 6.07136 23.2814i 0.334217 1.28160i
\(331\) 15.7577 10.1268i 0.866120 0.556622i −0.0304436 0.999536i \(-0.509692\pi\)
0.896564 + 0.442915i \(0.146056\pi\)
\(332\) −8.85362 1.27296i −0.485906 0.0698627i
\(333\) 0.752604 + 0.343703i 0.0412424 + 0.0188348i
\(334\) −8.30219 + 18.1793i −0.454276 + 0.994725i
\(335\) 3.37716 29.9461i 0.184514 1.63613i
\(336\) 34.9909 22.4873i 1.90891 1.22678i
\(337\) −9.74072 + 33.1739i −0.530611 + 1.80709i 0.0575392 + 0.998343i \(0.481675\pi\)
−0.588150 + 0.808752i \(0.700144\pi\)
\(338\) −11.5520 + 1.66093i −0.628346 + 0.0903426i
\(339\) −4.14720 4.78613i −0.225245 0.259947i
\(340\) −7.11508 4.27175i −0.385869 0.231668i
\(341\) 1.53070 1.76652i 0.0828921 0.0956626i
\(342\) 0.164090 + 0.558838i 0.00887295 + 0.0302185i
\(343\) −44.5421 + 20.3417i −2.40505 + 1.09835i
\(344\) 4.01369 0.216403
\(345\) −18.1014 + 2.11724i −0.974545 + 0.113988i
\(346\) 31.5012 1.69352
\(347\) −14.7296 + 6.72676i −0.790724 + 0.361112i −0.769487 0.638663i \(-0.779488\pi\)
−0.0212374 + 0.999774i \(0.506761\pi\)
\(348\) 2.33423 + 7.94967i 0.125128 + 0.426147i
\(349\) 15.0692 17.3908i 0.806637 0.930909i −0.192089 0.981378i \(-0.561526\pi\)
0.998726 + 0.0504689i \(0.0160716\pi\)
\(350\) 36.6401 + 20.5045i 1.95850 + 1.09601i
\(351\) −8.61763 9.94527i −0.459975 0.530839i
\(352\) 18.0088 2.58927i 0.959872 0.138009i
\(353\) 9.33553 31.7939i 0.496880 1.69222i −0.204026 0.978965i \(-0.565403\pi\)
0.700906 0.713253i \(-0.252779\pi\)
\(354\) −3.19451 + 2.05299i −0.169786 + 0.109115i
\(355\) 4.85695 + 0.547740i 0.257780 + 0.0290710i
\(356\) −2.21491 + 4.84998i −0.117390 + 0.257048i
\(357\) −29.9409 13.6736i −1.58464 0.723681i
\(358\) 11.9321 + 1.71558i 0.630632 + 0.0906711i
\(359\) −25.4861 + 16.3789i −1.34510 + 0.864445i −0.997322 0.0731307i \(-0.976701\pi\)
−0.347781 + 0.937576i \(0.613065\pi\)
\(360\) 0.440131 + 0.114778i 0.0231969 + 0.00604933i
\(361\) 1.38980 + 9.66628i 0.0731474 + 0.508752i
\(362\) −27.3359 + 23.6867i −1.43674 + 1.24494i
\(363\) 2.42648 3.77568i 0.127357 0.198172i
\(364\) 7.49299 8.64737i 0.392739 0.453245i
\(365\) −9.91778 + 3.24377i −0.519121 + 0.169786i
\(366\) −10.5142 23.0228i −0.549584 1.20342i
\(367\) 2.43763i 0.127243i 0.997974 + 0.0636217i \(0.0202651\pi\)
−0.997974 + 0.0636217i \(0.979735\pi\)
\(368\) −11.7878 20.8610i −0.614484 1.08746i
\(369\) −0.211820 −0.0110269
\(370\) 25.4313 12.5650i 1.32211 0.653224i
\(371\) −18.4477 + 5.41674i −0.957759 + 0.281223i
\(372\) 0.763014 + 0.661156i 0.0395604 + 0.0342793i
\(373\) 0.0491362 0.0764574i 0.00254418 0.00395882i −0.839979 0.542619i \(-0.817433\pi\)
0.842523 + 0.538660i \(0.181069\pi\)
\(374\) −16.3932 18.9187i −0.847670 0.978263i
\(375\) −4.41120 18.4815i −0.227794 0.954380i
\(376\) 8.98538 + 2.63835i 0.463386 + 0.136062i
\(377\) −6.98705 10.8721i −0.359852 0.559940i
\(378\) −43.9572 6.32010i −2.26092 0.325071i
\(379\) −9.78549 + 21.4272i −0.502647 + 1.10064i 0.472953 + 0.881087i \(0.343188\pi\)
−0.975600 + 0.219555i \(0.929539\pi\)
\(380\) 5.88007 + 2.47151i 0.301641 + 0.126786i
\(381\) −1.76252 + 12.2586i −0.0902965 + 0.628026i
\(382\) −14.6969 22.8688i −0.751959 1.17007i
\(383\) 3.10258 10.5664i 0.158534 0.539918i −0.841466 0.540311i \(-0.818307\pi\)
1.00000 0.000392360i \(0.000124892\pi\)
\(384\) −3.02460 21.0366i −0.154349 1.07352i
\(385\) 27.4128 + 29.7521i 1.39708 + 1.51631i
\(386\) 6.22430 + 4.00011i 0.316808 + 0.203600i
\(387\) −0.186409 0.161524i −0.00947570 0.00821074i
\(388\) −1.07123 3.64827i −0.0543834 0.185213i
\(389\) 9.55960 + 20.9326i 0.484691 + 1.06132i 0.981147 + 0.193263i \(0.0619070\pi\)
−0.496456 + 0.868062i \(0.665366\pi\)
\(390\) −16.2027 + 0.494328i −0.820453 + 0.0250313i
\(391\) −8.84453 + 16.7727i −0.447287 + 0.848231i
\(392\) 30.9222i 1.56181i
\(393\) 16.8440 7.69238i 0.849665 0.388029i
\(394\) 17.2401 5.06216i 0.868546 0.255028i
\(395\) 12.4896 + 10.1723i 0.628419 + 0.511825i
\(396\) −0.326088 0.209564i −0.0163866 0.0105310i
\(397\) 8.27045 7.16639i 0.415082 0.359671i −0.422143 0.906529i \(-0.638722\pi\)
0.837225 + 0.546859i \(0.184176\pi\)
\(398\) 36.0795 5.18745i 1.80850 0.260023i
\(399\) 24.2733 + 7.12728i 1.21518 + 0.356810i
\(400\) 20.1531 14.7619i 1.00766 0.738094i
\(401\) −1.73341 + 12.0561i −0.0865624 + 0.602055i 0.899655 + 0.436601i \(0.143818\pi\)
−0.986218 + 0.165454i \(0.947091\pi\)
\(402\) 35.7154 + 16.3107i 1.78132 + 0.813503i
\(403\) −1.43251 0.654207i −0.0713585 0.0325883i
\(404\) −0.577252 + 4.01488i −0.0287194 + 0.199748i
\(405\) 10.9510 + 15.9489i 0.544161 + 0.792507i
\(406\) −41.8468 12.2873i −2.07682 0.609809i
\(407\) 27.0529 3.88963i 1.34096 0.192802i
\(408\) −9.23901 + 8.00565i −0.457399 + 0.396339i
\(409\) 3.94576 + 2.53578i 0.195105 + 0.125386i 0.634546 0.772885i \(-0.281187\pi\)
−0.439441 + 0.898271i \(0.644823\pi\)
\(410\) −4.58611 + 5.63083i −0.226492 + 0.278087i
\(411\) 8.85116 2.59894i 0.436596 0.128196i
\(412\) −0.718363 + 0.328065i −0.0353912 + 0.0161626i
\(413\) 6.38496i 0.314183i
\(414\) −0.182311 + 0.900929i −0.00896009 + 0.0442783i
\(415\) −21.2973 + 0.649762i −1.04544 + 0.0318956i
\(416\) −5.09215 11.1503i −0.249663 0.546687i
\(417\) −5.10387 17.3822i −0.249938 0.851209i
\(418\) 14.5405 + 12.5994i 0.711198 + 0.616257i
\(419\) −11.7886 7.57605i −0.575909 0.370114i 0.220028 0.975493i \(-0.429385\pi\)
−0.795937 + 0.605379i \(0.793021\pi\)
\(420\) −12.8508 + 11.8404i −0.627057 + 0.577752i
\(421\) −3.70513 25.7698i −0.180577 1.25594i −0.855402 0.517964i \(-0.826690\pi\)
0.674825 0.737978i \(-0.264219\pi\)
\(422\) 8.41099 28.6452i 0.409441 1.39443i
\(423\) −0.311135 0.484136i −0.0151279 0.0235395i
\(424\) −1.01625 + 7.06816i −0.0493534 + 0.343260i
\(425\) −18.4497 7.10083i −0.894943 0.344441i
\(426\) −2.64542 + 5.79267i −0.128171 + 0.280656i
\(427\) 42.1241 + 6.05653i 2.03853 + 0.293096i
\(428\) 4.36819 + 6.79703i 0.211144 + 0.328547i
\(429\) −14.9861 4.40033i −0.723538 0.212450i
\(430\) −8.32974 + 1.45817i −0.401696 + 0.0703190i
\(431\) −19.0788 22.0182i −0.918995 1.06058i −0.997969 0.0637006i \(-0.979710\pi\)
0.0789736 0.996877i \(-0.474836\pi\)
\(432\) −14.2849 + 22.2278i −0.687284 + 1.06943i
\(433\) 21.7353 + 18.8338i 1.04453 + 0.905093i 0.995600 0.0937087i \(-0.0298722\pi\)
0.0489337 + 0.998802i \(0.484418\pi\)
\(434\) −5.09928 + 1.49729i −0.244773 + 0.0718720i
\(435\) 8.74250 + 17.6946i 0.419171 + 0.848391i
\(436\) −4.48892 −0.214980
\(437\) 4.89392 13.7273i 0.234108 0.656666i
\(438\) 13.5953i 0.649607i
\(439\) −12.9019 28.2512i −0.615773 1.34836i −0.918554 0.395295i \(-0.870642\pi\)
0.302781 0.953060i \(-0.402085\pi\)
\(440\) 14.2810 4.67081i 0.680819 0.222672i
\(441\) 1.24441 1.43613i 0.0592578 0.0683872i
\(442\) −9.11830 + 14.1883i −0.433713 + 0.674871i
\(443\) −22.5054 + 19.5010i −1.06926 + 0.926521i −0.997483 0.0708999i \(-0.977413\pi\)
−0.0717784 + 0.997421i \(0.522867\pi\)
\(444\) 1.68005 + 11.6850i 0.0797315 + 0.554545i
\(445\) −3.20499 + 12.2899i −0.151931 + 0.582599i
\(446\) −11.0339 + 7.09104i −0.522469 + 0.335770i
\(447\) −11.7411 1.68812i −0.555336 0.0798453i
\(448\) 6.89688 + 3.14970i 0.325847 + 0.148809i
\(449\) −11.0443 + 24.1837i −0.521215 + 1.14130i 0.447763 + 0.894152i \(0.352221\pi\)
−0.968978 + 0.247149i \(0.920506\pi\)
\(450\) −0.955118 0.0783037i −0.0450247 0.00369127i
\(451\) −5.88643 + 3.78298i −0.277181 + 0.178133i
\(452\) −0.985490 + 3.35627i −0.0463536 + 0.157866i
\(453\) 3.82587 0.550077i 0.179755 0.0258449i
\(454\) −21.3326 24.6191i −1.00119 1.15543i
\(455\) 14.0299 23.3683i 0.657730 1.09552i
\(456\) 6.15296 7.10089i 0.288139 0.332530i
\(457\) −0.708251 2.41208i −0.0331306 0.112832i 0.941268 0.337661i \(-0.109636\pi\)
−0.974398 + 0.224829i \(0.927818\pi\)
\(458\) −0.502871 + 0.229653i −0.0234976 + 0.0107310i
\(459\) 20.9094 0.975965
\(460\) 6.38921 + 7.77874i 0.297899 + 0.362686i
\(461\) 12.4573 0.580193 0.290097 0.956997i \(-0.406313\pi\)
0.290097 + 0.956997i \(0.406313\pi\)
\(462\) −47.9456 + 21.8960i −2.23063 + 1.01869i
\(463\) −6.91749 23.5588i −0.321483 1.09487i −0.948740 0.316058i \(-0.897641\pi\)
0.627257 0.778812i \(-0.284178\pi\)
\(464\) −16.9928 + 19.6107i −0.788870 + 0.910405i
\(465\) 2.06194 + 1.23795i 0.0956200 + 0.0574084i
\(466\) 11.2577 + 12.9921i 0.521505 + 0.601849i
\(467\) −17.7984 + 2.55902i −0.823611 + 0.118417i −0.541219 0.840882i \(-0.682037\pi\)
−0.282392 + 0.959299i \(0.591128\pi\)
\(468\) −0.0735761 + 0.250577i −0.00340106 + 0.0115829i
\(469\) −55.5389 + 35.6927i −2.56455 + 1.64814i
\(470\) −19.6062 2.21108i −0.904366 0.101989i
\(471\) 12.1336 26.5690i 0.559089 1.22423i
\(472\) −2.15711 0.985118i −0.0992890 0.0453438i
\(473\) −8.06497 1.15957i −0.370828 0.0533170i
\(474\) −17.6552 + 11.3463i −0.810929 + 0.521152i
\(475\) 14.8124 + 3.38396i 0.679639 + 0.155267i
\(476\) 2.58737 + 17.9955i 0.118592 + 0.824824i
\(477\) 0.331645 0.287372i 0.0151850 0.0131578i
\(478\) 24.3407 37.8749i 1.11332 1.73236i
\(479\) −3.38973 + 3.91196i −0.154881 + 0.178742i −0.827887 0.560895i \(-0.810457\pi\)
0.673006 + 0.739637i \(0.265003\pi\)
\(480\) 5.81930 + 17.7925i 0.265614 + 0.812111i
\(481\) −7.64947 16.7500i −0.348786 0.763734i
\(482\) 22.1576i 1.00925i
\(483\) 28.6389 + 27.8181i 1.30311 + 1.26577i
\(484\) −2.47900 −0.112682
\(485\) −4.01212 8.12042i −0.182181 0.368729i
\(486\) 1.91014 0.560869i 0.0866459 0.0254415i
\(487\) −29.5371 25.5940i −1.33845 1.15978i −0.973484 0.228757i \(-0.926534\pi\)
−0.364970 0.931019i \(-0.618921\pi\)
\(488\) 8.54536 13.2968i 0.386830 0.601920i
\(489\) 8.55494 + 9.87293i 0.386868 + 0.446469i
\(490\) −11.2340 64.1740i −0.507500 2.89908i
\(491\) −28.5287 8.37679i −1.28748 0.378039i −0.434828 0.900514i \(-0.643191\pi\)
−0.852655 + 0.522475i \(0.825009\pi\)
\(492\) −1.63398 2.54252i −0.0736655 0.114626i
\(493\) 20.3256 + 2.92238i 0.915420 + 0.131618i
\(494\) 5.38486 11.7912i 0.242276 0.530511i
\(495\) −0.851225 0.357786i −0.0382597 0.0160813i
\(496\) −0.450001 + 3.12982i −0.0202056 + 0.140533i
\(497\) −5.78899 9.00785i −0.259672 0.404057i
\(498\) 7.82113 26.6363i 0.350473 1.19360i
\(499\) 2.19719 + 15.2818i 0.0983597 + 0.684107i 0.978021 + 0.208506i \(0.0668602\pi\)
−0.879661 + 0.475601i \(0.842231\pi\)
\(500\) −7.27035 + 7.56864i −0.325140 + 0.338480i
\(501\) −16.6676 10.7116i −0.744655 0.478561i
\(502\) 37.3133 + 32.3321i 1.66537 + 1.44305i
\(503\) 6.65253 + 22.6564i 0.296622 + 1.01020i 0.964093 + 0.265565i \(0.0855586\pi\)
−0.667471 + 0.744636i \(0.732623\pi\)
\(504\) −0.413940 0.906402i −0.0184383 0.0403743i
\(505\) 0.294650 + 9.65776i 0.0131117 + 0.429765i
\(506\) 11.0237 + 28.2925i 0.490061 + 1.25776i
\(507\) 11.5701i 0.513846i
\(508\) 6.22240 2.84167i 0.276074 0.126079i
\(509\) 10.4932 3.08108i 0.465102 0.136566i −0.0407814 0.999168i \(-0.512985\pi\)
0.505884 + 0.862602i \(0.331167\pi\)
\(510\) 16.2656 19.9709i 0.720253 0.884327i
\(511\) 19.2307 + 12.3588i 0.850718 + 0.546723i
\(512\) −4.86113 + 4.21220i −0.214834 + 0.186155i
\(513\) −15.9069 + 2.28706i −0.702306 + 0.100976i
\(514\) 40.7134 + 11.9545i 1.79579 + 0.527291i
\(515\) −1.55084 + 1.06486i −0.0683381 + 0.0469232i
\(516\) 0.500852 3.48350i 0.0220488 0.153353i
\(517\) −17.2927 7.89732i −0.760533 0.347324i
\(518\) −56.5262 25.8146i −2.48362 1.13423i
\(519\) −4.44441 + 30.9115i −0.195088 + 1.35687i
\(520\) −5.73016 8.34531i −0.251284 0.365966i
\(521\) 14.1418 + 4.15241i 0.619563 + 0.181920i 0.576427 0.817149i \(-0.304447\pi\)
0.0431368 + 0.999069i \(0.486265\pi\)
\(522\) 0.985305 0.141665i 0.0431256 0.00620053i
\(523\) 12.6294 10.9435i 0.552246 0.478524i −0.333464 0.942763i \(-0.608218\pi\)
0.885710 + 0.464239i \(0.153672\pi\)
\(524\) −8.60427 5.52963i −0.375879 0.241563i
\(525\) −25.2902 + 33.0613i −1.10375 + 1.44291i
\(526\) 42.9468 12.6103i 1.87257 0.549836i
\(527\) 2.27615 1.03948i 0.0991505 0.0452805i
\(528\) 31.3602i 1.36478i
\(529\) 16.9370 15.5607i 0.736393 0.676554i
\(530\) −0.458796 15.0380i −0.0199288 0.653209i
\(531\) 0.0605388 + 0.132562i 0.00262716 + 0.00575268i
\(532\) −3.93670 13.4072i −0.170678 0.581275i
\(533\) 3.56282 + 3.08720i 0.154323 + 0.133722i
\(534\) −13.9209 8.94645i −0.602418 0.387151i
\(535\) 13.0416 + 14.1545i 0.563837 + 0.611954i
\(536\) 3.48955 + 24.2703i 0.150726 + 1.04832i
\(537\) −3.36693 + 11.4667i −0.145294 + 0.494825i
\(538\) −12.2279 19.0270i −0.527182 0.820312i
\(539\) 8.93353 62.1341i 0.384795 2.67630i
\(540\) 4.30115 10.2331i 0.185092 0.440361i
\(541\) 10.3549 22.6741i 0.445192 0.974835i −0.545424 0.838161i \(-0.683631\pi\)
0.990616 0.136675i \(-0.0436416\pi\)
\(542\) 14.8576 + 2.13621i 0.638190 + 0.0917579i
\(543\) −19.3865 30.1660i −0.831956 1.29455i
\(544\) 18.6880 + 5.48729i 0.801242 + 0.235266i
\(545\) −10.5330 + 1.84385i −0.451182 + 0.0789819i
\(546\) 23.2554 + 26.8381i 0.995238 + 1.14857i
\(547\) −9.88852 + 15.3868i −0.422803 + 0.657894i −0.985676 0.168649i \(-0.946059\pi\)
0.562874 + 0.826543i \(0.309696\pi\)
\(548\) −3.85075 3.33669i −0.164496 0.142536i
\(549\) −0.931985 + 0.273655i −0.0397762 + 0.0116793i
\(550\) −27.9409 + 14.8818i −1.19140 + 0.634560i
\(551\) −15.7825 −0.672355
\(552\) 13.8167 5.38344i 0.588079 0.229134i
\(553\) 35.2879i 1.50060i
\(554\) −14.2398 31.1809i −0.604993 1.32475i
\(555\) 8.74179 + 26.7280i 0.371069 + 1.13454i
\(556\) −6.55270 + 7.56222i −0.277896 + 0.320710i
\(557\) 0.758885 1.18085i 0.0321550 0.0500341i −0.824804 0.565419i \(-0.808715\pi\)
0.856959 + 0.515385i \(0.172351\pi\)
\(558\) 0.0916725 0.0794347i 0.00388081 0.00336274i
\(559\) 0.781245 + 5.43368i 0.0330432 + 0.229820i
\(560\) −52.9557 13.8098i −2.23779 0.583572i
\(561\) 20.8774 13.4171i 0.881445 0.566470i
\(562\) 23.9974 + 3.45031i 1.01227 + 0.145542i
\(563\) −0.0721537 0.0329515i −0.00304092 0.00138874i 0.413894 0.910325i \(-0.364168\pi\)
−0.416935 + 0.908936i \(0.636896\pi\)
\(564\) 3.41109 7.46924i 0.143633 0.314512i
\(565\) −0.933781 + 8.28007i −0.0392844 + 0.348345i
\(566\) −41.6832 + 26.7882i −1.75207 + 1.12599i
\(567\) 11.9407 40.6662i 0.501461 1.70782i
\(568\) −3.93640 + 0.565969i −0.165168 + 0.0237475i
\(569\) 16.6189 + 19.1792i 0.696699 + 0.804034i 0.988303 0.152505i \(-0.0487342\pi\)
−0.291603 + 0.956539i \(0.594189\pi\)
\(570\) −10.1897 + 16.9721i −0.426800 + 0.710882i
\(571\) 17.5815 20.2902i 0.735764 0.849117i −0.257344 0.966320i \(-0.582847\pi\)
0.993108 + 0.117203i \(0.0373927\pi\)
\(572\) 2.43049 + 8.27749i 0.101624 + 0.346099i
\(573\) 24.5143 11.1953i 1.02410 0.467690i
\(574\) 15.9093 0.664041
\(575\) 18.1870 + 15.6279i 0.758452 + 0.651729i
\(576\) −0.173054 −0.00721057
\(577\) 33.4687 15.2846i 1.39332 0.636307i 0.429549 0.903044i \(-0.358673\pi\)
0.963770 + 0.266736i \(0.0859452\pi\)
\(578\) 0.660428 + 2.24921i 0.0274702 + 0.0935548i
\(579\) −4.80340 + 5.54342i −0.199623 + 0.230377i
\(580\) 5.61130 9.34624i 0.232996 0.388081i
\(581\) 30.5677 + 35.2770i 1.26816 + 1.46353i
\(582\) 11.6807 1.67944i 0.484182 0.0696148i
\(583\) 4.08403 13.9089i 0.169143 0.576049i
\(584\) 7.14240 4.59014i 0.295555 0.189941i
\(585\) −0.0697155 + 0.618185i −0.00288238 + 0.0255588i
\(586\) 4.17831 9.14923i 0.172605 0.377951i
\(587\) 0.246711 + 0.112669i 0.0101828 + 0.00465035i 0.420500 0.907293i \(-0.361855\pi\)
−0.410317 + 0.911943i \(0.634582\pi\)
\(588\) 26.8376 + 3.85866i 1.10676 + 0.159129i
\(589\) −1.61789 + 1.03975i −0.0666640 + 0.0428423i
\(590\) 4.83461 + 1.26078i 0.199038 + 0.0519054i
\(591\) 2.53504 + 17.6316i 0.104278 + 0.725268i
\(592\) −27.9420 + 24.2119i −1.14841 + 0.995102i
\(593\) −21.0719 + 32.7885i −0.865318 + 1.34646i 0.0717891 + 0.997420i \(0.477129\pi\)
−0.937107 + 0.349042i \(0.886507\pi\)
\(594\) 21.9267 25.3048i 0.899663 1.03827i
\(595\) 13.4629 + 41.1626i 0.551924 + 1.68750i
\(596\) 2.72172 + 5.95974i 0.111486 + 0.244121i
\(597\) 36.1360i 1.47895i
\(598\) 16.1972 12.4965i 0.662352 0.511021i
\(599\) 18.4484 0.753782 0.376891 0.926258i \(-0.376993\pi\)
0.376891 + 0.926258i \(0.376993\pi\)
\(600\) 7.26755 + 13.6450i 0.296696 + 0.557056i
\(601\) 3.87771 1.13860i 0.158175 0.0464445i −0.201686 0.979450i \(-0.564642\pi\)
0.359861 + 0.933006i \(0.382824\pi\)
\(602\) 14.0007 + 12.1317i 0.570626 + 0.494450i
\(603\) 0.814654 1.26763i 0.0331753 0.0516217i
\(604\) −1.39808 1.61347i −0.0568869 0.0656510i
\(605\) −5.81681 + 1.01826i −0.236487 + 0.0413983i
\(606\) −12.0788 3.54667i −0.490669 0.144074i
\(607\) 21.9082 + 34.0898i 0.889226 + 1.38366i 0.923233 + 0.384241i \(0.125537\pi\)
−0.0340063 + 0.999422i \(0.510827\pi\)
\(608\) −14.8172 2.13039i −0.600916 0.0863987i
\(609\) 17.9613 39.3298i 0.727830 1.59373i
\(610\) −12.9038 + 30.6999i −0.522458 + 1.24300i
\(611\) −1.82280 + 12.6778i −0.0737426 + 0.512891i
\(612\) −0.224342 0.349083i −0.00906848 0.0141108i
\(613\) 3.24532 11.0525i 0.131077 0.446407i −0.867632 0.497207i \(-0.834359\pi\)
0.998709 + 0.0507998i \(0.0161770\pi\)
\(614\) 1.22725 + 8.53573i 0.0495279 + 0.344474i
\(615\) −4.87839 5.29470i −0.196716 0.213503i
\(616\) −27.6910 17.7959i −1.11570 0.717019i
\(617\) −6.99674 6.06271i −0.281678 0.244075i 0.502550 0.864548i \(-0.332395\pi\)
−0.784228 + 0.620473i \(0.786941\pi\)
\(618\) −0.690531 2.35173i −0.0277772 0.0946006i
\(619\) −17.4006 38.1019i −0.699388 1.53145i −0.840712 0.541482i \(-0.817863\pi\)
0.141325 0.989963i \(-0.454864\pi\)
\(620\) −0.0405092 1.32778i −0.00162689 0.0533247i
\(621\) −23.8896 8.51686i −0.958656 0.341770i
\(622\) 0.415578i 0.0166631i
\(623\) 25.3098 11.5586i 1.01402 0.463085i
\(624\) 20.2727 5.95260i 0.811557 0.238295i
\(625\) −13.9505 + 20.7457i −0.558022 + 0.829826i
\(626\) 9.71023 + 6.24038i 0.388099 + 0.249416i
\(627\) −14.4150 + 12.4907i −0.575681 + 0.498830i
\(628\) −15.9689 + 2.29598i −0.637228 + 0.0916196i
\(629\) 28.0732 + 8.24305i 1.11935 + 0.328672i
\(630\) 1.18836 + 1.73070i 0.0473453 + 0.0689529i
\(631\) 0.971415 6.75634i 0.0386714 0.268966i −0.961307 0.275478i \(-0.911164\pi\)
0.999979 + 0.00651241i \(0.00207298\pi\)
\(632\) −11.9218 5.44448i −0.474222 0.216570i
\(633\) 26.9223 + 12.2950i 1.07007 + 0.488683i
\(634\) −2.04066 + 14.1931i −0.0810448 + 0.563679i
\(635\) 13.4332 9.22369i 0.533081 0.366031i
\(636\) 6.00769 + 1.76402i 0.238220 + 0.0699478i
\(637\) −41.8621 + 6.01887i −1.65864 + 0.238476i
\(638\) 24.8513 21.5338i 0.983871 0.852529i
\(639\) 0.205596 + 0.132129i 0.00813325 + 0.00522692i
\(640\) −17.6592 + 21.6819i −0.698039 + 0.857053i
\(641\) −17.3119 + 5.08324i −0.683780 + 0.200776i −0.605130 0.796126i \(-0.706879\pi\)
−0.0786496 + 0.996902i \(0.525061\pi\)
\(642\) −22.8100 + 10.4170i −0.900241 + 0.411126i
\(643\) 16.3419i 0.644463i −0.946661 0.322231i \(-0.895567\pi\)
0.946661 0.322231i \(-0.104433\pi\)
\(644\) 4.37385 21.6144i 0.172354 0.851725i
\(645\) −0.255652 8.37954i −0.0100663 0.329944i
\(646\) 8.55611 + 18.7353i 0.336636 + 0.737129i
\(647\) 1.19243 + 4.06105i 0.0468794 + 0.159657i 0.979606 0.200928i \(-0.0643956\pi\)
−0.932727 + 0.360584i \(0.882577\pi\)
\(648\) −11.8965 10.3083i −0.467337 0.404950i
\(649\) 4.04982 + 2.60266i 0.158969 + 0.102163i
\(650\) 14.9238 + 15.2376i 0.585361 + 0.597666i
\(651\) −0.749815 5.21508i −0.0293876 0.204395i
\(652\) 2.03289 6.92339i 0.0796141 0.271141i
\(653\) 15.5690 + 24.2259i 0.609264 + 0.948033i 0.999625 + 0.0273714i \(0.00871367\pi\)
−0.390361 + 0.920662i \(0.627650\pi\)
\(654\) 1.98271 13.7901i 0.0775303 0.539235i
\(655\) −22.4607 9.44066i −0.877612 0.368877i
\(656\) 3.93214 8.61018i 0.153524 0.336171i
\(657\) −0.516440 0.0742528i −0.0201482 0.00289688i
\(658\) 23.3686 + 36.3622i 0.911002 + 1.41755i
\(659\) −12.4379 3.65210i −0.484512 0.142265i 0.0303490 0.999539i \(-0.490338\pi\)
−0.514861 + 0.857274i \(0.672156\pi\)
\(660\) −2.27176 12.9774i −0.0884282 0.505144i
\(661\) −22.1042 25.5096i −0.859753 0.992208i −0.999998 0.00209106i \(-0.999334\pi\)
0.140245 0.990117i \(-0.455211\pi\)
\(662\) 17.3600 27.0128i 0.674717 1.04988i
\(663\) −12.6363 10.9494i −0.490752 0.425239i
\(664\) 16.6343 4.88426i 0.645534 0.189546i
\(665\) −14.7443 29.8420i −0.571759 1.15722i
\(666\) 1.41833 0.0549592
\(667\) −22.0323 11.6180i −0.853094 0.449851i
\(668\) 10.9435i 0.423416i
\(669\) −5.40157 11.8278i −0.208837 0.457288i
\(670\) −16.0594 49.1013i −0.620427 1.89695i
\(671\) −21.0123 + 24.2495i −0.811170 + 0.936140i
\(672\) 22.1717 34.4999i 0.855292 1.33086i
\(673\) −33.6478 + 29.1559i −1.29703 + 1.12388i −0.312259 + 0.949997i \(0.601086\pi\)
−0.984766 + 0.173882i \(0.944369\pi\)
\(674\) 8.43492 + 58.6662i 0.324901 + 2.25974i
\(675\) 5.88909 25.7779i 0.226671 0.992194i
\(676\) −5.37617 + 3.45505i −0.206776 + 0.132887i
\(677\) −47.2483 6.79328i −1.81590 0.261087i −0.851276 0.524718i \(-0.824171\pi\)
−0.964624 + 0.263631i \(0.915080\pi\)
\(678\) −9.87527 4.50988i −0.379257 0.173201i
\(679\) −8.24283 + 18.0493i −0.316331 + 0.692668i
\(680\) 15.9836 + 1.80254i 0.612944 + 0.0691244i
\(681\) 27.1680 17.4598i 1.04108 0.669061i
\(682\) 1.12890 3.84468i 0.0432278 0.147220i
\(683\) −0.457895 + 0.0658353i −0.0175209 + 0.00251912i −0.151070 0.988523i \(-0.548272\pi\)
0.133549 + 0.991042i \(0.457363\pi\)
\(684\) 0.208852 + 0.241028i 0.00798565 + 0.00921593i
\(685\) −10.4061 6.24762i −0.397597 0.238709i
\(686\) −54.9707 + 63.4395i −2.09879 + 2.42213i
\(687\) −0.154406 0.525858i −0.00589096 0.0200628i
\(688\) 10.0261 4.57878i 0.382243 0.174564i
\(689\) −9.76660 −0.372078
\(690\) −26.7186 + 16.1920i −1.01716 + 0.616420i
\(691\) −2.98160 −0.113425 −0.0567127 0.998391i \(-0.518062\pi\)
−0.0567127 + 0.998391i \(0.518062\pi\)
\(692\) 15.6905 7.16563i 0.596465 0.272397i
\(693\) 0.569895 + 1.94088i 0.0216485 + 0.0737280i
\(694\) −18.1782 + 20.9787i −0.690033 + 0.796341i
\(695\) −12.2693 + 20.4358i −0.465400 + 0.775175i
\(696\) −10.5161 12.1362i −0.398611 0.460021i
\(697\) −7.41438 + 1.06603i −0.280840 + 0.0403786i
\(698\) 11.1136 37.8495i 0.420657 1.43263i
\(699\) −14.3372 + 9.21399i −0.542284 + 0.348505i
\(700\) 22.9144 + 1.87860i 0.866083 + 0.0710043i
\(701\) 8.71864 19.0912i 0.329299 0.721063i −0.670484 0.741924i \(-0.733913\pi\)
0.999782 + 0.0208608i \(0.00664067\pi\)
\(702\) −20.5202 9.37126i −0.774485 0.353695i
\(703\) −22.2585 3.20028i −0.839494 0.120701i
\(704\) −4.80911 + 3.09063i −0.181250 + 0.116482i
\(705\) 4.93586 18.9272i 0.185895 0.712840i
\(706\) −8.08405 56.2258i −0.304247 2.11609i
\(707\) 15.9971 13.8616i 0.601634 0.521319i
\(708\) −1.12417 + 1.74924i −0.0422488 + 0.0657404i
\(709\) 14.3591 16.5713i 0.539267 0.622347i −0.419082 0.907949i \(-0.637648\pi\)
0.958349 + 0.285601i \(0.0921933\pi\)
\(710\) 7.96373 2.60466i 0.298874 0.0977512i
\(711\) 0.334581 + 0.732631i 0.0125478 + 0.0274758i
\(712\) 10.3341i 0.387285i
\(713\) −3.02397 + 0.260512i −0.113249 + 0.00975626i
\(714\) −56.4256 −2.11167
\(715\) 9.10302 + 18.4243i 0.340434 + 0.689028i
\(716\) 6.33355 1.85970i 0.236696 0.0695002i
\(717\) 33.7318 + 29.2287i 1.25974 + 1.09157i
\(718\) −28.0777 + 43.6898i −1.04785 + 1.63049i
\(719\) −10.6802 12.3256i −0.398304 0.459668i 0.520802 0.853678i \(-0.325633\pi\)
−0.919106 + 0.394010i \(0.871088\pi\)
\(720\) 1.23038 0.215384i 0.0458535 0.00802690i
\(721\) 3.95430 + 1.16109i 0.147266 + 0.0432411i
\(722\) 9.05083 + 14.0834i 0.336837 + 0.524128i
\(723\) −21.7429 3.12615i −0.808625 0.116263i
\(724\) −8.22777 + 18.0163i −0.305783 + 0.669571i
\(725\) 9.32752 24.2352i 0.346415 0.900073i
\(726\) 1.09495 7.61555i 0.0406374 0.282640i
\(727\) 12.9829 + 20.2017i 0.481508 + 0.749240i 0.993992 0.109456i \(-0.0349110\pi\)
−0.512484 + 0.858697i \(0.671275\pi\)
\(728\) −6.24799 + 21.2787i −0.231566 + 0.788641i
\(729\) 3.97483 + 27.6456i 0.147216 + 1.02391i
\(730\) −13.1553 + 12.1209i −0.486899 + 0.448615i
\(731\) −7.33780 4.71572i −0.271398 0.174417i
\(732\) −10.4741 9.07583i −0.387133 0.335452i
\(733\) −10.8522 36.9593i −0.400836 1.36512i −0.874760 0.484556i \(-0.838981\pi\)
0.473925 0.880565i \(-0.342837\pi\)
\(734\) 1.73591 + 3.80111i 0.0640736 + 0.140302i
\(735\) 64.5576 1.96960i 2.38124 0.0726496i
\(736\) −19.1165 13.8815i −0.704644 0.511677i
\(737\) 49.7762i 1.83353i
\(738\) −0.330301 + 0.150844i −0.0121586 + 0.00555263i
\(739\) 6.26399 1.83927i 0.230425 0.0676588i −0.164482 0.986380i \(-0.552595\pi\)
0.394906 + 0.918721i \(0.370777\pi\)
\(740\) 9.80896 12.0434i 0.360584 0.442726i
\(741\) 10.8107 + 6.94764i 0.397143 + 0.255228i
\(742\) −24.9090 + 21.5838i −0.914438 + 0.792365i
\(743\) 15.3158 2.20207i 0.561881 0.0807863i 0.144478 0.989508i \(-0.453850\pi\)
0.417403 + 0.908722i \(0.362941\pi\)
\(744\) −1.87756 0.551301i −0.0688347 0.0202117i
\(745\) 8.83435 + 12.8662i 0.323665 + 0.471381i
\(746\) 0.0221728 0.154215i 0.000811802 0.00564621i
\(747\) −0.969109 0.442577i −0.0354578 0.0161931i
\(748\) −12.4688 5.69431i −0.455904 0.208204i
\(749\) 6.00056 41.7348i 0.219256 1.52496i
\(750\) −20.0398 25.6777i −0.731750 0.937617i
\(751\) 34.0555 + 9.99961i 1.24270 + 0.364891i 0.836031 0.548683i \(-0.184870\pi\)
0.406674 + 0.913573i \(0.366689\pi\)
\(752\) 25.4552 3.65990i 0.928254 0.133463i
\(753\) −36.9913 + 32.0531i −1.34804 + 1.16808i
\(754\) −18.6376 11.9776i −0.678740 0.436200i
\(755\) −3.94324 3.21162i −0.143509 0.116883i
\(756\) −23.3325 + 6.85103i −0.848593 + 0.249169i
\(757\) −16.8806 + 7.70911i −0.613536 + 0.280192i −0.697847 0.716247i \(-0.745858\pi\)
0.0843110 + 0.996439i \(0.473131\pi\)
\(758\) 40.3810i 1.46670i
\(759\) −29.3182 + 6.82560i −1.06418 + 0.247753i
\(760\) −12.3568 + 0.376994i −0.448227 + 0.0136750i
\(761\) −12.5769 27.5396i −0.455912 0.998309i −0.988400 0.151871i \(-0.951470\pi\)
0.532488 0.846438i \(-0.321257\pi\)
\(762\) 5.98132 + 20.3705i 0.216680 + 0.737945i
\(763\) 17.7039 + 15.3405i 0.640924 + 0.555364i
\(764\) −12.5224 8.04769i −0.453046 0.291155i
\(765\) −0.669792 0.726951i −0.0242164 0.0262830i
\(766\) −2.68666 18.6861i −0.0970730 0.675157i
\(767\) 0.913771 3.11202i 0.0329943 0.112368i
\(768\) −16.8529 26.2236i −0.608127 0.946264i
\(769\) −2.84679 + 19.7999i −0.102658 + 0.714002i 0.871870 + 0.489737i \(0.162907\pi\)
−0.974528 + 0.224265i \(0.928002\pi\)
\(770\) 63.9334 + 26.8724i 2.30400 + 0.968415i
\(771\) −17.4749 + 38.2646i −0.629342 + 1.37807i
\(772\) 4.01020 + 0.576579i 0.144330 + 0.0207515i
\(773\) 14.0632 + 21.8828i 0.505819 + 0.787069i