Properties

Label 39.2.k.b.11.1
Level $39$
Weight $2$
Character 39.11
Analytic conductor $0.311$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 39 = 3 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 39.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.311416567883\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{12})\)
Coefficient field: 8.0.56070144.2
Defining polynomial: \(x^{8} - 4 x^{7} + 16 x^{6} - 34 x^{5} + 63 x^{4} - 74 x^{3} + 70 x^{2} - 38 x + 13\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.1
Root \(0.500000 - 1.56488i\) of defining polynomial
Character \(\chi\) \(=\) 39.11
Dual form 39.2.k.b.32.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.45466 - 0.389774i) q^{2} +(0.239203 - 1.71545i) q^{3} +(0.232051 + 0.133975i) q^{4} +(1.06488 - 1.06488i) q^{5} +(-1.01660 + 2.40216i) q^{6} +(0.366025 + 1.36603i) q^{7} +(1.84443 + 1.84443i) q^{8} +(-2.88556 - 0.820682i) q^{9} +O(q^{10})\) \(q+(-1.45466 - 0.389774i) q^{2} +(0.239203 - 1.71545i) q^{3} +(0.232051 + 0.133975i) q^{4} +(1.06488 - 1.06488i) q^{5} +(-1.01660 + 2.40216i) q^{6} +(0.366025 + 1.36603i) q^{7} +(1.84443 + 1.84443i) q^{8} +(-2.88556 - 0.820682i) q^{9} +(-1.96410 + 1.13397i) q^{10} +(-1.06488 + 3.97420i) q^{11} +(0.285334 - 0.366025i) q^{12} +(3.59808 + 0.232051i) q^{13} -2.12976i q^{14} +(-1.57203 - 2.08148i) q^{15} +(-2.23205 - 3.86603i) q^{16} +(2.51954 - 4.36397i) q^{17} +(3.87762 + 2.31853i) q^{18} +(-3.73205 + 1.00000i) q^{19} +(0.389774 - 0.104440i) q^{20} +(2.43091 - 0.301143i) q^{21} +(3.09808 - 5.36603i) q^{22} +(3.60523 - 2.72284i) q^{24} +2.73205i q^{25} +(-5.14352 - 1.73999i) q^{26} +(-2.09808 + 4.75374i) q^{27} +(-0.0980762 + 0.366025i) q^{28} +(-6.20840 + 3.58442i) q^{29} +(1.47546 + 3.64058i) q^{30} +(-2.46410 - 2.46410i) q^{31} +(0.389774 + 1.45466i) q^{32} +(6.56283 + 2.77739i) q^{33} +(-5.36603 + 5.36603i) q^{34} +(1.84443 + 1.06488i) q^{35} +(-0.559647 - 0.577032i) q^{36} +(-5.23205 - 1.40192i) q^{37} +5.81863 q^{38} +(1.25874 - 6.11683i) q^{39} +3.92820 q^{40} +(5.42885 + 1.45466i) q^{41} +(-3.65351 - 0.509445i) q^{42} +(1.90192 + 1.09808i) q^{43} +(-0.779548 + 0.779548i) q^{44} +(-3.94672 + 2.19886i) q^{45} +(-4.25953 - 4.25953i) q^{47} +(-7.16590 + 2.90422i) q^{48} +(4.33013 - 2.50000i) q^{49} +(1.06488 - 3.97420i) q^{50} +(-6.88351 - 5.36603i) q^{51} +(0.803848 + 0.535898i) q^{52} -0.779548i q^{53} +(4.90487 - 6.09729i) q^{54} +(3.09808 + 5.36603i) q^{55} +(-1.84443 + 3.19465i) q^{56} +(0.822738 + 6.64136i) q^{57} +(10.4282 - 2.79423i) q^{58} +(-2.90931 + 0.779548i) q^{59} +(-0.0859264 - 0.693622i) q^{60} +(3.50000 - 6.06218i) q^{61} +(2.62398 + 4.54486i) q^{62} +(0.0648824 - 4.24214i) q^{63} +6.66025i q^{64} +(4.07863 - 3.58442i) q^{65} +(-8.46410 - 6.59817i) q^{66} +(-1.53590 + 5.73205i) q^{67} +(1.16932 - 0.675108i) q^{68} +(-2.26795 - 2.26795i) q^{70} +(-0.779548 - 2.90931i) q^{71} +(-3.80853 - 6.83591i) q^{72} +(-0.901924 + 0.901924i) q^{73} +(7.06440 + 4.07863i) q^{74} +(4.68671 + 0.653513i) q^{75} +(-1.00000 - 0.267949i) q^{76} -5.81863 q^{77} +(-4.21522 + 8.40726i) q^{78} +2.00000 q^{79} +(-6.49373 - 1.73999i) q^{80} +(7.65296 + 4.73626i) q^{81} +(-7.33013 - 4.23205i) q^{82} +(2.90931 - 2.90931i) q^{83} +(0.604440 + 0.255799i) q^{84} +(-1.96410 - 7.33013i) q^{85} +(-2.33864 - 2.33864i) q^{86} +(4.66384 + 11.5076i) q^{87} +(-9.29423 + 5.36603i) q^{88} +(-2.41510 + 9.01327i) q^{89} +(6.59817 - 1.66025i) q^{90} +(1.00000 + 5.00000i) q^{91} +(-4.81647 + 3.63763i) q^{93} +(4.53590 + 7.85641i) q^{94} +(-2.90931 + 5.03908i) q^{95} +(2.58863 - 0.320682i) q^{96} +(1.63397 - 0.437822i) q^{97} +(-7.27328 + 1.94887i) q^{98} +(6.33434 - 10.5939i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 2q^{3} - 12q^{4} - 2q^{6} - 4q^{7} + 4q^{9} + O(q^{10}) \) \( 8q - 2q^{3} - 12q^{4} - 2q^{6} - 4q^{7} + 4q^{9} + 12q^{10} + 8q^{13} - 14q^{15} - 4q^{16} + 4q^{18} - 16q^{19} + 4q^{21} + 4q^{22} + 18q^{24} + 4q^{27} + 20q^{28} + 18q^{30} + 8q^{31} + 16q^{33} - 36q^{34} - 36q^{36} - 28q^{37} - 14q^{39} - 24q^{40} - 16q^{42} + 36q^{43} - 20q^{45} - 14q^{48} + 48q^{52} + 46q^{54} + 4q^{55} + 16q^{57} + 28q^{58} + 44q^{60} + 28q^{61} - 8q^{63} - 40q^{66} - 40q^{67} - 32q^{70} + 12q^{72} - 28q^{73} + 12q^{75} - 8q^{76} - 80q^{78} + 16q^{79} + 4q^{81} - 24q^{82} + 4q^{84} + 12q^{85} - 34q^{87} - 12q^{88} + 8q^{91} + 4q^{93} + 64q^{94} + 16q^{96} + 20q^{97} + 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/39\mathbb{Z}\right)^\times\).

\(n\) \(14\) \(28\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.45466 0.389774i −1.02860 0.275612i −0.295217 0.955430i \(-0.595392\pi\)
−0.733380 + 0.679818i \(0.762059\pi\)
\(3\) 0.239203 1.71545i 0.138104 0.990418i
\(4\) 0.232051 + 0.133975i 0.116025 + 0.0669873i
\(5\) 1.06488 1.06488i 0.476230 0.476230i −0.427694 0.903924i \(-0.640674\pi\)
0.903924 + 0.427694i \(0.140674\pi\)
\(6\) −1.01660 + 2.40216i −0.415024 + 0.980678i
\(7\) 0.366025 + 1.36603i 0.138345 + 0.516309i 0.999962 + 0.00875026i \(0.00278533\pi\)
−0.861617 + 0.507559i \(0.830548\pi\)
\(8\) 1.84443 + 1.84443i 0.652105 + 0.652105i
\(9\) −2.88556 0.820682i −0.961855 0.273561i
\(10\) −1.96410 + 1.13397i −0.621103 + 0.358594i
\(11\) −1.06488 + 3.97420i −0.321074 + 1.19826i 0.597126 + 0.802148i \(0.296309\pi\)
−0.918200 + 0.396117i \(0.870357\pi\)
\(12\) 0.285334 0.366025i 0.0823689 0.105662i
\(13\) 3.59808 + 0.232051i 0.997927 + 0.0643593i
\(14\) 2.12976i 0.569204i
\(15\) −1.57203 2.08148i −0.405897 0.537436i
\(16\) −2.23205 3.86603i −0.558013 0.966506i
\(17\) 2.51954 4.36397i 0.611078 1.05842i −0.379981 0.924994i \(-0.624070\pi\)
0.991059 0.133424i \(-0.0425971\pi\)
\(18\) 3.87762 + 2.31853i 0.913965 + 0.546482i
\(19\) −3.73205 + 1.00000i −0.856191 + 0.229416i −0.660107 0.751171i \(-0.729489\pi\)
−0.196084 + 0.980587i \(0.562823\pi\)
\(20\) 0.389774 0.104440i 0.0871561 0.0233534i
\(21\) 2.43091 0.301143i 0.530468 0.0657148i
\(22\) 3.09808 5.36603i 0.660512 1.14404i
\(23\) 0 0 0.866025 0.500000i \(-0.166667\pi\)
−0.866025 + 0.500000i \(0.833333\pi\)
\(24\) 3.60523 2.72284i 0.735914 0.555798i
\(25\) 2.73205i 0.546410i
\(26\) −5.14352 1.73999i −1.00873 0.341240i
\(27\) −2.09808 + 4.75374i −0.403775 + 0.914858i
\(28\) −0.0980762 + 0.366025i −0.0185347 + 0.0691723i
\(29\) −6.20840 + 3.58442i −1.15287 + 0.665610i −0.949585 0.313509i \(-0.898495\pi\)
−0.203286 + 0.979119i \(0.565162\pi\)
\(30\) 1.47546 + 3.64058i 0.269381 + 0.664675i
\(31\) −2.46410 2.46410i −0.442566 0.442566i 0.450308 0.892873i \(-0.351314\pi\)
−0.892873 + 0.450308i \(0.851314\pi\)
\(32\) 0.389774 + 1.45466i 0.0689030 + 0.257149i
\(33\) 6.56283 + 2.77739i 1.14244 + 0.483482i
\(34\) −5.36603 + 5.36603i −0.920266 + 0.920266i
\(35\) 1.84443 + 1.06488i 0.311766 + 0.179998i
\(36\) −0.559647 0.577032i −0.0932745 0.0961720i
\(37\) −5.23205 1.40192i −0.860144 0.230475i −0.198323 0.980137i \(-0.563549\pi\)
−0.661821 + 0.749662i \(0.730216\pi\)
\(38\) 5.81863 0.943906
\(39\) 1.25874 6.11683i 0.201560 0.979476i
\(40\) 3.92820 0.621103
\(41\) 5.42885 + 1.45466i 0.847844 + 0.227179i 0.656483 0.754341i \(-0.272043\pi\)
0.191361 + 0.981520i \(0.438710\pi\)
\(42\) −3.65351 0.509445i −0.563749 0.0786091i
\(43\) 1.90192 + 1.09808i 0.290041 + 0.167455i 0.637960 0.770069i \(-0.279778\pi\)
−0.347920 + 0.937524i \(0.613112\pi\)
\(44\) −0.779548 + 0.779548i −0.117521 + 0.117521i
\(45\) −3.94672 + 2.19886i −0.588342 + 0.327786i
\(46\) 0 0
\(47\) −4.25953 4.25953i −0.621316 0.621316i 0.324552 0.945868i \(-0.394787\pi\)
−0.945868 + 0.324552i \(0.894787\pi\)
\(48\) −7.16590 + 2.90422i −1.03431 + 0.419188i
\(49\) 4.33013 2.50000i 0.618590 0.357143i
\(50\) 1.06488 3.97420i 0.150597 0.562036i
\(51\) −6.88351 5.36603i −0.963884 0.751394i
\(52\) 0.803848 + 0.535898i 0.111474 + 0.0743157i
\(53\) 0.779548i 0.107079i −0.998566 0.0535396i \(-0.982950\pi\)
0.998566 0.0535396i \(-0.0170503\pi\)
\(54\) 4.90487 6.09729i 0.667468 0.829736i
\(55\) 3.09808 + 5.36603i 0.417745 + 0.723555i
\(56\) −1.84443 + 3.19465i −0.246472 + 0.426903i
\(57\) 0.822738 + 6.64136i 0.108974 + 0.879670i
\(58\) 10.4282 2.79423i 1.36929 0.366900i
\(59\) −2.90931 + 0.779548i −0.378760 + 0.101489i −0.443176 0.896435i \(-0.646148\pi\)
0.0644157 + 0.997923i \(0.479482\pi\)
\(60\) −0.0859264 0.693622i −0.0110931 0.0895462i
\(61\) 3.50000 6.06218i 0.448129 0.776182i −0.550135 0.835076i \(-0.685424\pi\)
0.998264 + 0.0588933i \(0.0187572\pi\)
\(62\) 2.62398 + 4.54486i 0.333246 + 0.577198i
\(63\) 0.0648824 4.24214i 0.00817442 0.534460i
\(64\) 6.66025i 0.832532i
\(65\) 4.07863 3.58442i 0.505892 0.444593i
\(66\) −8.46410 6.59817i −1.04186 0.812179i
\(67\) −1.53590 + 5.73205i −0.187640 + 0.700281i 0.806410 + 0.591357i \(0.201407\pi\)
−0.994050 + 0.108925i \(0.965259\pi\)
\(68\) 1.16932 0.675108i 0.141801 0.0818689i
\(69\) 0 0
\(70\) −2.26795 2.26795i −0.271072 0.271072i
\(71\) −0.779548 2.90931i −0.0925153 0.345272i 0.904116 0.427288i \(-0.140531\pi\)
−0.996631 + 0.0820158i \(0.973864\pi\)
\(72\) −3.80853 6.83591i −0.448840 0.805620i
\(73\) −0.901924 + 0.901924i −0.105562 + 0.105562i −0.757915 0.652353i \(-0.773782\pi\)
0.652353 + 0.757915i \(0.273782\pi\)
\(74\) 7.06440 + 4.07863i 0.821220 + 0.474132i
\(75\) 4.68671 + 0.653513i 0.541174 + 0.0754612i
\(76\) −1.00000 0.267949i −0.114708 0.0307359i
\(77\) −5.81863 −0.663094
\(78\) −4.21522 + 8.40726i −0.477279 + 0.951934i
\(79\) 2.00000 0.225018 0.112509 0.993651i \(-0.464111\pi\)
0.112509 + 0.993651i \(0.464111\pi\)
\(80\) −6.49373 1.73999i −0.726022 0.194537i
\(81\) 7.65296 + 4.73626i 0.850329 + 0.526251i
\(82\) −7.33013 4.23205i −0.809477 0.467352i
\(83\) 2.90931 2.90931i 0.319339 0.319339i −0.529174 0.848513i \(-0.677498\pi\)
0.848513 + 0.529174i \(0.177498\pi\)
\(84\) 0.604440 + 0.255799i 0.0659498 + 0.0279100i
\(85\) −1.96410 7.33013i −0.213037 0.795064i
\(86\) −2.33864 2.33864i −0.252182 0.252182i
\(87\) 4.66384 + 11.5076i 0.500017 + 1.23375i
\(88\) −9.29423 + 5.36603i −0.990768 + 0.572020i
\(89\) −2.41510 + 9.01327i −0.256000 + 0.955405i 0.711531 + 0.702654i \(0.248002\pi\)
−0.967531 + 0.252751i \(0.918665\pi\)
\(90\) 6.59817 1.66025i 0.695509 0.175006i
\(91\) 1.00000 + 5.00000i 0.104828 + 0.524142i
\(92\) 0 0
\(93\) −4.81647 + 3.63763i −0.499445 + 0.377205i
\(94\) 4.53590 + 7.85641i 0.467842 + 0.810326i
\(95\) −2.90931 + 5.03908i −0.298489 + 0.516998i
\(96\) 2.58863 0.320682i 0.264201 0.0327295i
\(97\) 1.63397 0.437822i 0.165905 0.0444541i −0.174910 0.984584i \(-0.555964\pi\)
0.340815 + 0.940130i \(0.389297\pi\)
\(98\) −7.27328 + 1.94887i −0.734712 + 0.196866i
\(99\) 6.33434 10.5939i 0.636625 1.06472i
\(100\) −0.366025 + 0.633975i −0.0366025 + 0.0633975i
\(101\) −3.01375 5.21997i −0.299880 0.519407i 0.676229 0.736692i \(-0.263613\pi\)
−0.976108 + 0.217285i \(0.930280\pi\)
\(102\) 7.92160 + 10.4887i 0.784356 + 1.03854i
\(103\) 6.92820i 0.682656i −0.939944 0.341328i \(-0.889123\pi\)
0.939944 0.341328i \(-0.110877\pi\)
\(104\) 6.20840 + 7.06440i 0.608784 + 0.692722i
\(105\) 2.26795 2.90931i 0.221329 0.283920i
\(106\) −0.303848 + 1.13397i −0.0295123 + 0.110141i
\(107\) 16.4675 9.50749i 1.59197 0.919123i 0.598999 0.800749i \(-0.295565\pi\)
0.992969 0.118374i \(-0.0377682\pi\)
\(108\) −1.12374 + 0.822021i −0.108132 + 0.0790990i
\(109\) −13.1962 13.1962i −1.26396 1.26396i −0.949156 0.314806i \(-0.898060\pi\)
−0.314806 0.949156i \(-0.601940\pi\)
\(110\) −2.41510 9.01327i −0.230271 0.859382i
\(111\) −3.65646 + 8.64000i −0.347055 + 0.820072i
\(112\) 4.46410 4.46410i 0.421818 0.421818i
\(113\) −8.90883 5.14352i −0.838073 0.483861i 0.0185360 0.999828i \(-0.494099\pi\)
−0.856609 + 0.515967i \(0.827433\pi\)
\(114\) 1.39183 9.98158i 0.130357 0.934861i
\(115\) 0 0
\(116\) −1.92089 −0.178350
\(117\) −10.1920 3.62247i −0.942254 0.334898i
\(118\) 4.53590 0.417563
\(119\) 6.88351 + 1.84443i 0.631010 + 0.169079i
\(120\) 0.939636 6.73865i 0.0857767 0.615152i
\(121\) −5.13397 2.96410i −0.466725 0.269464i
\(122\) −7.45418 + 7.45418i −0.674869 + 0.674869i
\(123\) 3.79399 8.96499i 0.342093 0.808346i
\(124\) −0.241670 0.901924i −0.0217026 0.0809951i
\(125\) 8.23373 + 8.23373i 0.736447 + 0.736447i
\(126\) −1.74786 + 6.14557i −0.155712 + 0.547491i
\(127\) 7.90192 4.56218i 0.701182 0.404828i −0.106605 0.994301i \(-0.533998\pi\)
0.807788 + 0.589474i \(0.200665\pi\)
\(128\) 3.37554 12.5977i 0.298359 1.11349i
\(129\) 2.33864 3.00000i 0.205906 0.264135i
\(130\) −7.33013 + 3.62436i −0.642895 + 0.317877i
\(131\) 7.94839i 0.694454i 0.937781 + 0.347227i \(0.112877\pi\)
−0.937781 + 0.347227i \(0.887123\pi\)
\(132\) 1.15081 + 1.52375i 0.100165 + 0.132625i
\(133\) −2.73205 4.73205i −0.236899 0.410321i
\(134\) 4.46841 7.73951i 0.386012 0.668592i
\(135\) 2.82797 + 7.29638i 0.243393 + 0.627973i
\(136\) 12.6962 3.40192i 1.08869 0.291713i
\(137\) 6.49373 1.73999i 0.554797 0.148657i 0.0294822 0.999565i \(-0.490614\pi\)
0.525315 + 0.850908i \(0.323948\pi\)
\(138\) 0 0
\(139\) −9.19615 + 15.9282i −0.780007 + 1.35101i 0.151929 + 0.988391i \(0.451451\pi\)
−0.931937 + 0.362621i \(0.881882\pi\)
\(140\) 0.285334 + 0.494214i 0.0241152 + 0.0417687i
\(141\) −8.32592 + 6.28814i −0.701169 + 0.529557i
\(142\) 4.53590i 0.380644i
\(143\) −4.75374 + 14.0524i −0.397528 + 1.17512i
\(144\) 3.26795 + 12.9875i 0.272329 + 1.08229i
\(145\) −2.79423 + 10.4282i −0.232048 + 0.866015i
\(146\) 1.66354 0.960443i 0.137675 0.0794868i
\(147\) −3.25286 8.02614i −0.268291 0.661985i
\(148\) −1.02628 1.02628i −0.0843597 0.0843597i
\(149\) 2.23420 + 8.33816i 0.183033 + 0.683089i 0.995043 + 0.0994454i \(0.0317068\pi\)
−0.812010 + 0.583644i \(0.801626\pi\)
\(150\) −6.56283 2.77739i −0.535853 0.226773i
\(151\) 0.535898 0.535898i 0.0436108 0.0436108i −0.684965 0.728576i \(-0.740183\pi\)
0.728576 + 0.684965i \(0.240183\pi\)
\(152\) −8.72794 5.03908i −0.707929 0.408723i
\(153\) −10.8517 + 10.5248i −0.877310 + 0.850878i
\(154\) 8.46410 + 2.26795i 0.682057 + 0.182757i
\(155\) −5.24796 −0.421526
\(156\) 1.11159 1.25078i 0.0889985 0.100142i
\(157\) −4.80385 −0.383389 −0.191694 0.981455i \(-0.561398\pi\)
−0.191694 + 0.981455i \(0.561398\pi\)
\(158\) −2.90931 0.779548i −0.231453 0.0620175i
\(159\) −1.33728 0.186470i −0.106053 0.0147880i
\(160\) 1.96410 + 1.13397i 0.155276 + 0.0896486i
\(161\) 0 0
\(162\) −9.28636 9.87256i −0.729605 0.775661i
\(163\) −1.07180 4.00000i −0.0839496 0.313304i 0.911164 0.412045i \(-0.135185\pi\)
−0.995113 + 0.0987406i \(0.968519\pi\)
\(164\) 1.06488 + 1.06488i 0.0831533 + 0.0831533i
\(165\) 9.94624 4.03104i 0.774313 0.313816i
\(166\) −5.36603 + 3.09808i −0.416484 + 0.240457i
\(167\) 3.47998 12.9875i 0.269289 1.00500i −0.690283 0.723539i \(-0.742514\pi\)
0.959573 0.281461i \(-0.0908192\pi\)
\(168\) 5.03908 + 3.92820i 0.388773 + 0.303067i
\(169\) 12.8923 + 1.66987i 0.991716 + 0.128452i
\(170\) 11.4284i 0.876516i
\(171\) 11.5898 + 0.177262i 0.886291 + 0.0135556i
\(172\) 0.294229 + 0.509619i 0.0224347 + 0.0388581i
\(173\) −8.72794 + 15.1172i −0.663573 + 1.14934i 0.316097 + 0.948727i \(0.397627\pi\)
−0.979670 + 0.200615i \(0.935706\pi\)
\(174\) −2.29892 18.5575i −0.174281 1.40684i
\(175\) −3.73205 + 1.00000i −0.282117 + 0.0755929i
\(176\) 17.7412 4.75374i 1.33729 0.358327i
\(177\) 0.641364 + 5.17726i 0.0482078 + 0.389147i
\(178\) 7.02628 12.1699i 0.526642 0.912171i
\(179\) −13.2728 22.9892i −0.992056 1.71829i −0.604972 0.796247i \(-0.706816\pi\)
−0.387084 0.922045i \(-0.626518\pi\)
\(180\) −1.21043 0.0185132i −0.0902201 0.00137989i
\(181\) 3.00000i 0.222988i −0.993765 0.111494i \(-0.964436\pi\)
0.993765 0.111494i \(-0.0355636\pi\)
\(182\) 0.494214 7.66306i 0.0366336 0.568024i
\(183\) −9.56218 7.45418i −0.706857 0.551029i
\(184\) 0 0
\(185\) −7.06440 + 4.07863i −0.519385 + 0.299867i
\(186\) 8.42417 3.41417i 0.617690 0.250339i
\(187\) 14.6603 + 14.6603i 1.07206 + 1.07206i
\(188\) −0.417759 1.55910i −0.0304682 0.113709i
\(189\) −7.26168 1.12603i −0.528210 0.0819070i
\(190\) 6.19615 6.19615i 0.449516 0.449516i
\(191\) 4.18307 + 2.41510i 0.302677 + 0.174750i 0.643645 0.765324i \(-0.277421\pi\)
−0.340968 + 0.940075i \(0.610755\pi\)
\(192\) 11.4254 + 1.59315i 0.824554 + 0.114976i
\(193\) 0.133975 + 0.0358984i 0.00964370 + 0.00258402i 0.263638 0.964622i \(-0.415078\pi\)
−0.253994 + 0.967206i \(0.581744\pi\)
\(194\) −2.54752 −0.182902
\(195\) −5.17329 7.85411i −0.370467 0.562445i
\(196\) 1.33975 0.0956961
\(197\) −3.97420 1.06488i −0.283150 0.0758697i 0.114449 0.993429i \(-0.463490\pi\)
−0.397599 + 0.917559i \(0.630156\pi\)
\(198\) −13.3435 + 12.9415i −0.948281 + 0.919711i
\(199\) 11.1962 + 6.46410i 0.793674 + 0.458228i 0.841254 0.540639i \(-0.181818\pi\)
−0.0475802 + 0.998867i \(0.515151\pi\)
\(200\) −5.03908 + 5.03908i −0.356317 + 0.356317i
\(201\) 9.46568 + 4.00588i 0.667657 + 0.282553i
\(202\) 2.34936 + 8.76795i 0.165301 + 0.616911i
\(203\) −7.16884 7.16884i −0.503154 0.503154i
\(204\) −0.878413 2.16741i −0.0615012 0.151749i
\(205\) 7.33013 4.23205i 0.511958 0.295579i
\(206\) −2.70043 + 10.0782i −0.188148 + 0.702178i
\(207\) 0 0
\(208\) −7.13397 14.4282i −0.494652 1.00042i
\(209\) 15.8968i 1.09960i
\(210\) −4.43306 + 3.34806i −0.305910 + 0.231038i
\(211\) 0.901924 + 1.56218i 0.0620910 + 0.107545i 0.895400 0.445263i \(-0.146890\pi\)
−0.833309 + 0.552808i \(0.813556\pi\)
\(212\) 0.104440 0.180895i 0.00717294 0.0124239i
\(213\) −5.17726 + 0.641364i −0.354740 + 0.0439455i
\(214\) −27.6603 + 7.41154i −1.89082 + 0.506643i
\(215\) 3.19465 0.856003i 0.217873 0.0583789i
\(216\) −12.6377 + 4.89819i −0.859887 + 0.333280i
\(217\) 2.46410 4.26795i 0.167274 0.289727i
\(218\) 14.0524 + 24.3394i 0.951745 + 1.64847i
\(219\) 1.33147 + 1.76295i 0.0899722 + 0.119129i
\(220\) 1.66025i 0.111934i
\(221\) 10.0782 15.1172i 0.677930 1.01690i
\(222\) 8.68653 11.1430i 0.583002 0.747872i
\(223\) 6.70577 25.0263i 0.449052 1.67588i −0.255960 0.966687i \(-0.582391\pi\)
0.705011 0.709196i \(-0.250942\pi\)
\(224\) −1.84443 + 1.06488i −0.123236 + 0.0711505i
\(225\) 2.24214 7.88351i 0.149476 0.525567i
\(226\) 10.9545 + 10.9545i 0.728681 + 0.728681i
\(227\) 5.24796 + 19.5856i 0.348319 + 1.29994i 0.888686 + 0.458515i \(0.151619\pi\)
−0.540367 + 0.841429i \(0.681715\pi\)
\(228\) −0.698857 + 1.65136i −0.0462829 + 0.109364i
\(229\) −14.1244 + 14.1244i −0.933364 + 0.933364i −0.997914 0.0645507i \(-0.979439\pi\)
0.0645507 + 0.997914i \(0.479439\pi\)
\(230\) 0 0
\(231\) −1.39183 + 9.98158i −0.0915757 + 0.656740i
\(232\) −18.0622 4.83975i −1.18584 0.317745i
\(233\) 17.4559 1.14357 0.571786 0.820403i \(-0.306251\pi\)
0.571786 + 0.820403i \(0.306251\pi\)
\(234\) 13.4140 + 9.24205i 0.876899 + 0.604172i
\(235\) −9.07180 −0.591779
\(236\) −0.779548 0.208879i −0.0507443 0.0135969i
\(237\) 0.478405 3.43091i 0.0310757 0.222861i
\(238\) −9.29423 5.36603i −0.602455 0.347828i
\(239\) 6.59817 6.59817i 0.426800 0.426800i −0.460737 0.887537i \(-0.652415\pi\)
0.887537 + 0.460737i \(0.152415\pi\)
\(240\) −4.53819 + 10.7235i −0.292939 + 0.692198i
\(241\) 3.76795 + 14.0622i 0.242715 + 0.905825i 0.974518 + 0.224309i \(0.0720123\pi\)
−0.731803 + 0.681516i \(0.761321\pi\)
\(242\) 6.31284 + 6.31284i 0.405805 + 0.405805i
\(243\) 9.95544 11.9954i 0.638642 0.769504i
\(244\) 1.62436 0.937822i 0.103989 0.0600379i
\(245\) 1.94887 7.27328i 0.124509 0.464673i
\(246\) −9.01327 + 11.5622i −0.574665 + 0.737178i
\(247\) −13.6603 + 2.73205i −0.869181 + 0.173836i
\(248\) 9.08973i 0.577198i
\(249\) −4.29488 5.68671i −0.272177 0.360380i
\(250\) −8.76795 15.1865i −0.554534 0.960481i
\(251\) 0.494214 0.856003i 0.0311945 0.0540304i −0.850007 0.526772i \(-0.823402\pi\)
0.881201 + 0.472741i \(0.156736\pi\)
\(252\) 0.583396 0.975700i 0.0367505 0.0614634i
\(253\) 0 0
\(254\) −13.2728 + 3.55644i −0.832810 + 0.223151i
\(255\) −13.0443 + 1.61594i −0.816867 + 0.101194i
\(256\) −3.16025 + 5.47372i −0.197516 + 0.342108i
\(257\) 10.7533 + 18.6252i 0.670770 + 1.16181i 0.977686 + 0.210071i \(0.0673696\pi\)
−0.306916 + 0.951737i \(0.599297\pi\)
\(258\) −4.57125 + 3.45243i −0.284593 + 0.214939i
\(259\) 7.66025i 0.475985i
\(260\) 1.42667 0.285334i 0.0884784 0.0176957i
\(261\) 20.8564 5.24796i 1.29098 0.324840i
\(262\) 3.09808 11.5622i 0.191400 0.714314i
\(263\) −19.3003 + 11.1430i −1.19011 + 0.687109i −0.958331 0.285660i \(-0.907787\pi\)
−0.231777 + 0.972769i \(0.574454\pi\)
\(264\) 6.98197 + 17.2274i 0.429710 + 1.06027i
\(265\) −0.830127 0.830127i −0.0509943 0.0509943i
\(266\) 2.12976 + 7.94839i 0.130584 + 0.487347i
\(267\) 14.8842 + 6.29899i 0.910896 + 0.385492i
\(268\) −1.12436 + 1.12436i −0.0686810 + 0.0686810i
\(269\) −12.4168 7.16884i −0.757066 0.437092i 0.0711756 0.997464i \(-0.477325\pi\)
−0.828241 + 0.560372i \(0.810658\pi\)
\(270\) −1.26979 11.7160i −0.0772769 0.713013i
\(271\) 7.46410 + 2.00000i 0.453412 + 0.121491i 0.478295 0.878199i \(-0.341255\pi\)
−0.0248835 + 0.999690i \(0.507921\pi\)
\(272\) −22.4950 −1.36396
\(273\) 8.81647 0.519441i 0.533597 0.0314380i
\(274\) −10.1244 −0.611635
\(275\) −10.8577 2.90931i −0.654744 0.175438i
\(276\) 0 0
\(277\) 23.8923 + 13.7942i 1.43555 + 0.828815i 0.997536 0.0701536i \(-0.0223490\pi\)
0.438013 + 0.898969i \(0.355682\pi\)
\(278\) 19.5856 19.5856i 1.17467 1.17467i
\(279\) 5.08808 + 9.13257i 0.304615 + 0.546752i
\(280\) 1.43782 + 5.36603i 0.0859263 + 0.320681i
\(281\) −12.1315 12.1315i −0.723703 0.723703i 0.245655 0.969357i \(-0.420997\pi\)
−0.969357 + 0.245655i \(0.920997\pi\)
\(282\) 14.5623 5.90185i 0.867172 0.351450i
\(283\) −5.70577 + 3.29423i −0.339173 + 0.195822i −0.659906 0.751348i \(-0.729404\pi\)
0.320733 + 0.947170i \(0.396071\pi\)
\(284\) 0.208879 0.779548i 0.0123947 0.0462577i
\(285\) 7.94839 + 6.19615i 0.470822 + 0.367028i
\(286\) 12.3923 18.5885i 0.732772 1.09916i
\(287\) 7.94839i 0.469179i
\(288\) 0.0690922 4.51739i 0.00407129 0.266189i
\(289\) −4.19615 7.26795i −0.246832 0.427526i
\(290\) 8.12929 14.0803i 0.477368 0.826826i
\(291\) −0.360213 2.90774i −0.0211161 0.170455i
\(292\) −0.330127 + 0.0884573i −0.0193192 + 0.00517657i
\(293\) −1.73999 + 0.466229i −0.101651 + 0.0272374i −0.309286 0.950969i \(-0.600090\pi\)
0.207635 + 0.978206i \(0.433423\pi\)
\(294\) 1.60341 + 12.9432i 0.0935127 + 0.754860i
\(295\) −2.26795 + 3.92820i −0.132045 + 0.228709i
\(296\) −7.06440 12.2359i −0.410610 0.711198i
\(297\) −16.6581 13.4003i −0.966601 0.777567i
\(298\) 13.0000i 0.753070i
\(299\) 0 0
\(300\) 1.00000 + 0.779548i 0.0577350 + 0.0450072i
\(301\) −0.803848 + 3.00000i −0.0463330 + 0.172917i
\(302\) −0.988427 + 0.570669i −0.0568776 + 0.0328383i
\(303\) −9.67552 + 3.92132i −0.555844 + 0.225274i
\(304\) 12.1962 + 12.1962i 0.699497 + 0.699497i
\(305\) −2.72842 10.1826i −0.156229 0.583054i
\(306\) 19.8878 11.0802i 1.13691 0.633414i
\(307\) 8.39230 8.39230i 0.478974 0.478974i −0.425829 0.904803i \(-0.640018\pi\)
0.904803 + 0.425829i \(0.140018\pi\)
\(308\) −1.35022 0.779548i −0.0769357 0.0444189i
\(309\) −11.8850 1.65724i −0.676115 0.0942773i
\(310\) 7.63397 + 2.04552i 0.433581 + 0.116178i
\(311\) 10.0782 0.571480 0.285740 0.958307i \(-0.407761\pi\)
0.285740 + 0.958307i \(0.407761\pi\)
\(312\) 13.6037 8.96040i 0.770159 0.507283i
\(313\) 2.00000 0.113047 0.0565233 0.998401i \(-0.481998\pi\)
0.0565233 + 0.998401i \(0.481998\pi\)
\(314\) 6.98795 + 1.87241i 0.394353 + 0.105666i
\(315\) −4.44829 4.58648i −0.250633 0.258419i
\(316\) 0.464102 + 0.267949i 0.0261078 + 0.0150733i
\(317\) −11.3519 + 11.3519i −0.637587 + 0.637587i −0.949960 0.312373i \(-0.898876\pi\)
0.312373 + 0.949960i \(0.398876\pi\)
\(318\) 1.87260 + 0.792486i 0.105010 + 0.0444404i
\(319\) −7.63397 28.4904i −0.427421 1.59516i
\(320\) 7.09239 + 7.09239i 0.396477 + 0.396477i
\(321\) −12.3706 30.5234i −0.690460 1.70365i
\(322\) 0 0
\(323\) −5.03908 + 18.8061i −0.280382 + 1.04640i
\(324\) 1.14134 + 2.12436i 0.0634076 + 0.118020i
\(325\) −0.633975 + 9.83013i −0.0351666 + 0.545277i
\(326\) 6.23638i 0.345401i
\(327\) −25.7939 + 19.4808i −1.42641 + 1.07729i
\(328\) 7.33013 + 12.6962i 0.404739 + 0.701028i
\(329\) 4.25953 7.37772i 0.234835 0.406747i
\(330\) −16.0396 + 1.98699i −0.882948 + 0.109380i
\(331\) −33.0526 + 8.85641i −1.81673 + 0.486792i −0.996376 0.0850595i \(-0.972892\pi\)
−0.820357 + 0.571852i \(0.806225\pi\)
\(332\) 1.06488 0.285334i 0.0584430 0.0156598i
\(333\) 13.9469 + 8.33919i 0.764285 + 0.456985i
\(334\) −10.1244 + 17.5359i −0.553980 + 0.959522i
\(335\) 4.46841 + 7.73951i 0.244135 + 0.422855i
\(336\) −6.59014 8.72579i −0.359521 0.476031i
\(337\) 18.4641i 1.00580i 0.864344 + 0.502902i \(0.167734\pi\)
−0.864344 + 0.502902i \(0.832266\pi\)
\(338\) −18.1030 7.45418i −0.984673 0.405454i
\(339\) −10.9545 + 14.0524i −0.594966 + 0.763219i
\(340\) 0.526279 1.96410i 0.0285415 0.106518i
\(341\) 12.4168 7.16884i 0.672407 0.388215i
\(342\) −16.7900 4.77524i −0.907900 0.258215i
\(343\) 12.0000 + 12.0000i 0.647939 + 0.647939i
\(344\) 1.48264 + 5.53329i 0.0799386 + 0.298335i
\(345\) 0 0
\(346\) 18.5885 18.5885i 0.999322 0.999322i
\(347\) 17.8177 + 10.2870i 0.956502 + 0.552237i 0.895095 0.445876i \(-0.147108\pi\)
0.0614076 + 0.998113i \(0.480441\pi\)
\(348\) −0.459481 + 3.29519i −0.0246308 + 0.176641i
\(349\) 27.4904 + 7.36603i 1.47153 + 0.394294i 0.903454 0.428684i \(-0.141023\pi\)
0.568072 + 0.822979i \(0.307689\pi\)
\(350\) 5.81863 0.311019
\(351\) −8.65215 + 16.6175i −0.461818 + 0.886975i
\(352\) −6.19615 −0.330256
\(353\) 13.6626 + 3.66088i 0.727186 + 0.194849i 0.603376 0.797457i \(-0.293822\pi\)
0.123810 + 0.992306i \(0.460489\pi\)
\(354\) 1.08500 7.78112i 0.0576670 0.413562i
\(355\) −3.92820 2.26795i −0.208487 0.120370i
\(356\) −1.76798 + 1.76798i −0.0937025 + 0.0937025i
\(357\) 4.81059 11.3671i 0.254603 0.601613i
\(358\) 10.3468 + 38.6147i 0.546845 + 2.04085i
\(359\) 18.2354 + 18.2354i 0.962429 + 0.962429i 0.999319 0.0368904i \(-0.0117452\pi\)
−0.0368904 + 0.999319i \(0.511745\pi\)
\(360\) −11.3351 3.22381i −0.597411 0.169909i
\(361\) −3.52628 + 2.03590i −0.185594 + 0.107153i
\(362\) −1.16932 + 4.36397i −0.0614582 + 0.229365i
\(363\) −6.31284 + 8.09808i −0.331338 + 0.425039i
\(364\) −0.437822 + 1.29423i −0.0229481 + 0.0678360i
\(365\) 1.92089i 0.100544i
\(366\) 11.0042 + 14.5704i 0.575201 + 0.761605i
\(367\) −15.1962 26.3205i −0.793233 1.37392i −0.923955 0.382500i \(-0.875063\pi\)
0.130723 0.991419i \(-0.458270\pi\)
\(368\) 0 0
\(369\) −14.4715 8.65286i −0.753356 0.450450i
\(370\) 11.8660 3.17949i 0.616885 0.165294i
\(371\) 1.06488 0.285334i 0.0552859 0.0148138i
\(372\) −1.60502 + 0.198831i −0.0832162 + 0.0103089i
\(373\) −5.79423 + 10.0359i −0.300014 + 0.519639i −0.976139 0.217148i \(-0.930325\pi\)
0.676125 + 0.736787i \(0.263658\pi\)
\(374\) −15.6114 27.0398i −0.807249 1.39820i
\(375\) 16.0941 12.1550i 0.831096 0.627684i
\(376\) 15.7128i 0.810326i
\(377\) −23.1701 + 11.4564i −1.19332 + 0.590032i
\(378\) 10.1244 + 4.46841i 0.520741 + 0.229830i
\(379\) 3.83013 14.2942i 0.196740 0.734245i −0.795069 0.606519i \(-0.792565\pi\)
0.991809 0.127726i \(-0.0407679\pi\)
\(380\) −1.35022 + 0.779548i −0.0692647 + 0.0399900i
\(381\) −5.93605 14.6467i −0.304113 0.750372i
\(382\) −5.14359 5.14359i −0.263169 0.263169i
\(383\) −8.51906 31.7936i −0.435304 1.62458i −0.740339 0.672234i \(-0.765335\pi\)
0.305035 0.952341i \(-0.401332\pi\)
\(384\) −20.8033 8.80399i −1.06162 0.449277i
\(385\) −6.19615 + 6.19615i −0.315785 + 0.315785i
\(386\) −0.180895 0.104440i −0.00920730 0.00531584i
\(387\) −4.58695 4.72944i −0.233168 0.240411i
\(388\) 0.437822 + 0.117314i 0.0222271 + 0.00595572i
\(389\) 22.4950 1.14054 0.570270 0.821457i \(-0.306839\pi\)
0.570270 + 0.821457i \(0.306839\pi\)
\(390\) 4.46403 + 13.4415i 0.226045 + 0.680634i
\(391\) 0 0
\(392\) 12.5977 + 3.37554i 0.636280 + 0.170491i
\(393\) 13.6351 + 1.90128i 0.687800 + 0.0959066i
\(394\) 5.36603 + 3.09808i 0.270336 + 0.156079i
\(395\) 2.12976 2.12976i 0.107160 0.107160i
\(396\) 2.88920 1.60968i 0.145188 0.0808892i
\(397\) −3.56218 13.2942i −0.178781 0.667218i −0.995877 0.0907168i \(-0.971084\pi\)
0.817096 0.576501i \(-0.195582\pi\)
\(398\) −13.7670 13.7670i −0.690078 0.690078i
\(399\) −8.77113 + 3.55479i −0.439106 + 0.177962i
\(400\) 10.5622 6.09808i 0.528109 0.304904i
\(401\) −3.22263 + 12.0270i −0.160931 + 0.600601i 0.837594 + 0.546294i \(0.183962\pi\)
−0.998524 + 0.0543073i \(0.982705\pi\)
\(402\) −12.2079 9.51666i −0.608876 0.474648i
\(403\) −8.29423 9.43782i −0.413165 0.470131i
\(404\) 1.61507i 0.0803525i
\(405\) 13.1931 3.10594i 0.655569 0.154336i
\(406\) 7.63397 + 13.2224i 0.378868 + 0.656218i
\(407\) 11.1430 19.3003i 0.552340 0.956681i
\(408\) −2.79889 22.5934i −0.138566 1.11854i
\(409\) 28.9904 7.76795i 1.43348 0.384100i 0.543236 0.839580i \(-0.317199\pi\)
0.890246 + 0.455480i \(0.150532\pi\)
\(410\) −12.3124 + 3.29909i −0.608064 + 0.162930i
\(411\) −1.43156 11.5559i −0.0706135 0.570011i
\(412\) 0.928203 1.60770i 0.0457293 0.0792055i
\(413\) −2.12976 3.68886i −0.104799 0.181517i
\(414\) 0 0
\(415\) 6.19615i 0.304157i
\(416\) 1.06488 + 5.32441i 0.0522102 + 0.261051i
\(417\) 25.1244 + 19.5856i 1.23034 + 0.959113i
\(418\) −6.19615 + 23.1244i −0.303064 + 1.13105i
\(419\) −8.23373 + 4.75374i −0.402244 + 0.232236i −0.687452 0.726230i \(-0.741271\pi\)
0.285208 + 0.958466i \(0.407937\pi\)
\(420\) 0.916053 0.371261i 0.0446988 0.0181157i
\(421\) −7.83013 7.83013i −0.381617 0.381617i 0.490067 0.871685i \(-0.336972\pi\)
−0.871685 + 0.490067i \(0.836972\pi\)
\(422\) −0.703093 2.62398i −0.0342260 0.127733i
\(423\) 8.79543 + 15.7869i 0.427648 + 0.767584i
\(424\) 1.43782 1.43782i 0.0698268 0.0698268i
\(425\) 11.9226 + 6.88351i 0.578330 + 0.333899i
\(426\) 7.78112 + 1.08500i 0.376997 + 0.0525683i
\(427\) 9.56218 + 2.56218i 0.462746 + 0.123992i
\(428\) 5.09505 0.246278
\(429\) 22.9691 + 11.5162i 1.10896 + 0.556007i
\(430\) −4.98076 −0.240194
\(431\) −36.5473 9.79282i −1.76042 0.471704i −0.773622 0.633648i \(-0.781557\pi\)
−0.986800 + 0.161944i \(0.948224\pi\)
\(432\) 23.0611 2.49938i 1.10953 0.120252i
\(433\) −26.8923 15.5263i −1.29236 0.746145i −0.313289 0.949658i \(-0.601431\pi\)
−0.979072 + 0.203512i \(0.934764\pi\)
\(434\) −5.24796 + 5.24796i −0.251910 + 0.251910i
\(435\) 17.2207 + 7.28782i 0.825670 + 0.349424i
\(436\) −1.29423 4.83013i −0.0619823 0.231321i
\(437\) 0 0
\(438\) −1.24967 3.08346i −0.0597117 0.147333i
\(439\) 1.09808 0.633975i 0.0524083 0.0302580i −0.473567 0.880758i \(-0.657034\pi\)
0.525975 + 0.850500i \(0.323700\pi\)
\(440\) −4.18307 + 15.6114i −0.199420 + 0.744247i
\(441\) −14.5466 + 3.66025i −0.692694 + 0.174298i
\(442\) −20.5526 + 18.0622i −0.977586 + 0.859130i
\(443\) 11.2195i 0.533054i −0.963827 0.266527i \(-0.914124\pi\)
0.963827 0.266527i \(-0.0858762\pi\)
\(444\) −2.00602 + 1.51505i −0.0952017 + 0.0719009i
\(445\) 7.02628 + 12.1699i 0.333078 + 0.576907i
\(446\) −19.5092 + 33.7909i −0.923787 + 1.60005i
\(447\) 14.8382 1.83816i 0.701821 0.0869422i
\(448\) −9.09808 + 2.43782i −0.429844 + 0.115176i
\(449\) −19.8710 + 5.32441i −0.937769 + 0.251275i −0.695165 0.718851i \(-0.744669\pi\)
−0.242605 + 0.970125i \(0.578002\pi\)
\(450\) −6.33434 + 10.5939i −0.298603 + 0.499400i
\(451\) −11.5622 + 20.0263i −0.544442 + 0.943001i
\(452\) −1.37820 2.38711i −0.0648251 0.112280i
\(453\) −0.791121 1.04750i −0.0371701 0.0492157i
\(454\) 30.5359i 1.43312i
\(455\) 6.38929 + 4.25953i 0.299535 + 0.199690i
\(456\) −10.7321 + 13.7670i −0.502574 + 0.644700i
\(457\) −1.00962 + 3.76795i −0.0472280 + 0.176257i −0.985511 0.169611i \(-0.945749\pi\)
0.938283 + 0.345868i \(0.112416\pi\)
\(458\) 26.0514 15.0408i 1.21730 0.702809i
\(459\) 15.4590 + 21.1332i 0.721565 + 0.986412i
\(460\) 0 0
\(461\) −5.50531 20.5461i −0.256408 0.956927i −0.967302 0.253628i \(-0.918376\pi\)
0.710894 0.703299i \(-0.248290\pi\)
\(462\) 5.91520 13.9773i 0.275200 0.650282i
\(463\) 23.0526 23.0526i 1.07134 1.07134i 0.0740918 0.997251i \(-0.476394\pi\)
0.997251 0.0740918i \(-0.0236058\pi\)
\(464\) 27.7149 + 16.0012i 1.28663 + 0.742838i
\(465\) −1.25532 + 9.00263i −0.0582143 + 0.417487i
\(466\) −25.3923 6.80385i −1.17628 0.315182i
\(467\) −19.1679 −0.886984 −0.443492 0.896278i \(-0.646261\pi\)
−0.443492 + 0.896278i \(0.646261\pi\)
\(468\) −1.87975 2.20607i −0.0868916 0.101976i
\(469\) −8.39230 −0.387521
\(470\) 13.1963 + 3.53595i 0.608702 + 0.163101i
\(471\) −1.14909 + 8.24078i −0.0529474 + 0.379715i
\(472\) −6.80385 3.92820i −0.313172 0.180810i
\(473\) −6.38929 + 6.38929i −0.293780 + 0.293780i
\(474\) −2.03319 + 4.80432i −0.0933877 + 0.220670i
\(475\) −2.73205 10.1962i −0.125355 0.467832i
\(476\) 1.35022 + 1.35022i 0.0618871 + 0.0618871i
\(477\) −0.639761 + 2.24944i −0.0292926 + 0.102995i
\(478\) −12.1699 + 7.02628i −0.556637 + 0.321375i
\(479\) 5.32441 19.8710i 0.243279 0.907928i −0.730962 0.682418i \(-0.760928\pi\)
0.974241 0.225510i \(-0.0724049\pi\)
\(480\) 2.41510 3.09808i 0.110234 0.141407i
\(481\) −18.5000 6.25833i −0.843527 0.285355i
\(482\) 21.9243i 0.998624i
\(483\) 0 0
\(484\) −0.794229 1.37564i −0.0361013 0.0625293i
\(485\) 1.27376 2.20622i 0.0578385 0.100179i
\(486\) −19.1572 + 13.5688i −0.868990 + 0.615492i
\(487\) 5.56218 1.49038i 0.252046 0.0675356i −0.130584 0.991437i \(-0.541685\pi\)
0.382630 + 0.923902i \(0.375018\pi\)
\(488\) 17.6368 4.72576i 0.798379 0.213925i
\(489\) −7.11819 + 0.881808i −0.321896 + 0.0398767i
\(490\) −5.66987 + 9.82051i −0.256139 + 0.443645i
\(491\) 14.2612 + 24.7012i 0.643600 + 1.11475i 0.984623 + 0.174693i \(0.0558934\pi\)
−0.341023 + 0.940055i \(0.610773\pi\)
\(492\) 2.08148 1.57203i 0.0938403 0.0708728i
\(493\) 36.1244i 1.62696i
\(494\) 20.9359 + 1.35022i 0.941949 + 0.0607491i
\(495\) −4.53590 18.0265i −0.203873 0.810233i
\(496\) −4.02628 + 15.0263i −0.180785 + 0.674700i
\(497\) 3.68886 2.12976i 0.165468 0.0955330i
\(498\) 4.03104 + 9.94624i 0.180635 + 0.445702i
\(499\) −2.46410 2.46410i −0.110308 0.110308i 0.649798 0.760107i \(-0.274853\pi\)
−0.760107 + 0.649798i \(0.774853\pi\)
\(500\) 0.807533 + 3.01375i 0.0361140 + 0.134779i
\(501\) −21.4470 9.07638i −0.958181 0.405503i
\(502\) −1.05256 + 1.05256i −0.0469780 + 0.0469780i
\(503\) −2.83286 1.63555i −0.126311 0.0729256i 0.435513 0.900182i \(-0.356567\pi\)
−0.561824 + 0.827257i \(0.689900\pi\)
\(504\) 7.94401 7.70467i 0.353854 0.343193i
\(505\) −8.76795 2.34936i −0.390169 0.104545i
\(506\) 0 0
\(507\) 5.94846 21.7167i 0.264180 0.964473i
\(508\) 2.44486 0.108473
\(509\) 14.1568 + 3.79330i 0.627489 + 0.168135i 0.558530 0.829484i \(-0.311366\pi\)
0.0689588 + 0.997620i \(0.478032\pi\)
\(510\) 19.6048 + 2.73370i 0.868117 + 0.121050i
\(511\) −1.56218 0.901924i −0.0691067 0.0398988i
\(512\) −11.7137 + 11.7137i −0.517678 + 0.517678i
\(513\) 3.07638 19.8393i 0.135826 0.875926i
\(514\) −8.38269 31.2846i −0.369744 1.37990i
\(515\) −7.37772 7.37772i −0.325101 0.325101i
\(516\) 0.944608 0.382834i 0.0415841 0.0168533i
\(517\) 21.4641 12.3923i 0.943990 0.545013i
\(518\) −2.98577 + 11.1430i −0.131187 + 0.489597i
\(519\) 23.8452 + 18.5885i 1.04669 + 0.815943i
\(520\) 14.1340 + 0.911543i 0.619816 + 0.0399738i
\(521\) 2.49155i 0.109157i −0.998509 0.0545785i \(-0.982618\pi\)
0.998509 0.0545785i \(-0.0173815\pi\)
\(522\) −32.3844 0.495311i −1.41743 0.0216792i
\(523\) 19.4904 + 33.7583i 0.852255 + 1.47615i 0.879169 + 0.476511i \(0.158099\pi\)
−0.0269137 + 0.999638i \(0.508568\pi\)
\(524\) −1.06488 + 1.84443i −0.0465196 + 0.0805743i
\(525\) 0.822738 + 6.64136i 0.0359072 + 0.289853i
\(526\) 32.4186 8.68653i 1.41352 0.378751i
\(527\) −16.9617 + 4.54486i −0.738862 + 0.197977i
\(528\) −3.91108 31.5713i −0.170208 1.37397i
\(529\) 11.5000 19.9186i 0.500000 0.866025i
\(530\) 0.883988 + 1.53111i 0.0383980 + 0.0665072i
\(531\) 9.03477 + 0.138184i 0.392076 + 0.00599669i
\(532\) 1.46410i 0.0634769i
\(533\) 19.1959 + 6.49373i 0.831465 + 0.281275i
\(534\) −19.1962 14.9643i −0.830699 0.647570i
\(535\) 7.41154 27.6603i 0.320429 1.19586i
\(536\) −13.4052 + 7.73951i −0.579018 + 0.334296i
\(537\) −42.6117 + 17.2698i −1.83883 + 0.745247i
\(538\) 15.2679 + 15.2679i 0.658248 + 0.658248i
\(539\) 5.32441 + 19.8710i 0.229339 + 0.855904i
\(540\) −0.321296 + 2.07201i −0.0138264 + 0.0891650i
\(541\) −12.6865 + 12.6865i −0.545437 + 0.545437i −0.925118 0.379681i \(-0.876034\pi\)
0.379681 + 0.925118i \(0.376034\pi\)
\(542\) −10.0782 5.81863i −0.432894 0.249931i
\(543\) −5.14636 0.717608i −0.220852 0.0307955i
\(544\) 7.33013 + 1.96410i 0.314277 + 0.0842102i
\(545\) −28.1047 −1.20387
\(546\) −13.0274 2.68082i −0.557521 0.114729i
\(547\) 2.00000 0.0855138 0.0427569 0.999086i \(-0.486386\pi\)
0.0427569 + 0.999086i \(0.486386\pi\)
\(548\) 1.73999 + 0.466229i 0.0743287 + 0.0199163i
\(549\) −15.0746 + 14.6204i −0.643368 + 0.623984i
\(550\) 14.6603 + 8.46410i 0.625115 + 0.360911i
\(551\) 19.5856 19.5856i 0.834376 0.834376i
\(552\) 0 0
\(553\) 0.732051 + 2.73205i 0.0311300 + 0.116179i
\(554\) −29.3785 29.3785i −1.24817 1.24817i
\(555\) 5.30689 + 13.0943i 0.225265 + 0.555821i
\(556\) −4.26795 + 2.46410i −0.181001 + 0.104501i
\(557\) 6.62616 24.7292i 0.280759 1.04781i −0.671123 0.741346i \(-0.734188\pi\)
0.951883 0.306462i \(-0.0991454\pi\)
\(558\) −3.84177 15.2679i −0.162635 0.646344i
\(559\) 6.58846 + 4.39230i 0.278662 + 0.185775i
\(560\) 9.50749i 0.401765i
\(561\) 28.6558 21.6422i 1.20985 0.913735i
\(562\) 12.9186 + 22.3756i 0.544938 + 0.943860i
\(563\) 5.03908 8.72794i 0.212372 0.367839i −0.740085 0.672514i \(-0.765215\pi\)
0.952456 + 0.304675i \(0.0985479\pi\)
\(564\) −2.77449 + 0.343706i −0.116827 + 0.0144726i
\(565\) −14.9641 + 4.00962i −0.629544 + 0.168686i
\(566\) 9.58394 2.56801i 0.402843 0.107941i
\(567\) −3.66867 + 12.1877i −0.154070 + 0.511837i
\(568\) 3.92820 6.80385i 0.164824 0.285483i
\(569\) 1.35022 + 2.33864i 0.0566040 + 0.0980411i 0.892939 0.450178i \(-0.148639\pi\)
−0.836335 + 0.548219i \(0.815306\pi\)
\(570\) −9.14708 12.1113i −0.383129 0.507289i
\(571\) 1.94744i 0.0814979i −0.999169 0.0407489i \(-0.987026\pi\)
0.999169 0.0407489i \(-0.0129744\pi\)
\(572\) −2.98577 + 2.62398i −0.124841 + 0.109714i
\(573\) 5.14359 6.59817i 0.214877 0.275643i
\(574\) 3.09808 11.5622i 0.129311 0.482596i
\(575\) 0 0
\(576\) 5.46595 19.2186i 0.227748 0.800775i
\(577\) −22.4904 22.4904i −0.936287 0.936287i 0.0618016 0.998088i \(-0.480315\pi\)
−0.998088 + 0.0618016i \(0.980315\pi\)
\(578\) 3.27110 + 12.2079i 0.136060 + 0.507783i
\(579\) 0.0936291 0.221240i 0.00389109 0.00919443i
\(580\) −2.04552 + 2.04552i −0.0849355 + 0.0849355i
\(581\) 5.03908 + 2.90931i 0.209056 + 0.120699i
\(582\) −0.609374 + 4.37016i −0.0252594 + 0.181149i
\(583\) 3.09808 + 0.830127i 0.128309 + 0.0343803i
\(584\) −3.32707 −0.137675
\(585\) −14.7108 + 6.99582i −0.608218 + 0.289241i
\(586\) 2.71281 0.112065
\(587\) 18.0265 + 4.83020i 0.744035 + 0.199364i 0.610871 0.791730i \(-0.290819\pi\)
0.133164 + 0.991094i \(0.457486\pi\)
\(588\) 0.320471 2.29827i 0.0132160 0.0947792i
\(589\) 11.6603 + 6.73205i 0.480452 + 0.277389i
\(590\) 4.83020 4.83020i 0.198856 0.198856i
\(591\) −2.77739 + 6.56283i −0.114247 + 0.269959i
\(592\) 6.25833 + 23.3564i 0.257216 + 0.959942i
\(593\) 10.3635 + 10.3635i 0.425578 + 0.425578i 0.887119 0.461541i \(-0.152703\pi\)
−0.461541 + 0.887119i \(0.652703\pi\)
\(594\) 19.0087 + 25.9858i 0.779937 + 1.06621i
\(595\) 9.29423 5.36603i 0.381026 0.219986i
\(596\) −0.598653 + 2.23420i −0.0245218 + 0.0915166i
\(597\) 13.7670 17.6603i 0.563446 0.722786i
\(598\) 0 0
\(599\) 20.7270i 0.846881i 0.905924 + 0.423441i \(0.139178\pi\)
−0.905924 + 0.423441i \(0.860822\pi\)
\(600\) 7.43895 + 9.84967i 0.303694 + 0.402111i
\(601\) −11.7942 20.4282i −0.481097 0.833284i 0.518668 0.854976i \(-0.326428\pi\)
−0.999765 + 0.0216919i \(0.993095\pi\)
\(602\) 2.33864 4.05065i 0.0953160 0.165092i
\(603\) 9.13612 15.2797i 0.372052 0.622238i
\(604\) 0.196152 0.0525589i 0.00798133 0.00213859i
\(605\) −8.62350 + 2.31066i −0.350595 + 0.0939417i
\(606\) 15.6030 1.93291i 0.633828 0.0785192i
\(607\) 0.0980762 0.169873i 0.00398079 0.00689493i −0.864028 0.503444i \(-0.832066\pi\)
0.868009 + 0.496549i \(0.165400\pi\)
\(608\) −2.90931 5.03908i −0.117988 0.204362i
\(609\) −14.0126 + 10.5830i −0.567820 + 0.428845i
\(610\) 15.8756i 0.642786i
\(611\) −14.3377 16.3145i −0.580041 0.660016i
\(612\) −3.92820 + 0.988427i −0.158788 + 0.0399548i
\(613\) −11.3564 + 42.3827i −0.458681 + 1.71182i 0.218354 + 0.975870i \(0.429931\pi\)
−0.677035 + 0.735951i \(0.736735\pi\)
\(614\) −15.4790 + 8.93682i −0.624683 + 0.360661i
\(615\) −5.50650 13.5868i −0.222044 0.547873i
\(616\) −10.7321 10.7321i −0.432407 0.432407i
\(617\) −4.78173 17.8457i −0.192505 0.718439i −0.992899 0.118964i \(-0.962043\pi\)
0.800393 0.599475i \(-0.204624\pi\)
\(618\) 16.6427 + 7.04319i 0.669466 + 0.283319i
\(619\) −31.6603 + 31.6603i −1.27253 + 1.27253i −0.327778 + 0.944755i \(0.606300\pi\)
−0.944755 + 0.327778i \(0.893700\pi\)
\(620\) −1.21779 0.703093i −0.0489077 0.0282369i
\(621\) 0 0
\(622\) −14.6603 3.92820i −0.587823 0.157507i
\(623\) −13.1963 −0.528701
\(624\) −26.4574 + 8.78674i −1.05914 + 0.351751i
\(625\) 3.87564 0.155026
\(626\) −2.90931 0.779548i −0.116280 0.0311570i
\(627\) −27.2702 3.80255i −1.08907 0.151859i
\(628\) −1.11474 0.643594i −0.0444828 0.0256822i
\(629\) −19.3003 + 19.3003i −0.769554 + 0.769554i
\(630\) 4.68305 + 8.40558i 0.186577 + 0.334886i
\(631\) 5.73205 + 21.3923i 0.228189 + 0.851614i 0.981102 + 0.193493i \(0.0619818\pi\)
−0.752912 + 0.658121i \(0.771352\pi\)
\(632\) 3.68886 + 3.68886i 0.146735 + 0.146735i
\(633\) 2.89559 1.17353i 0.115089 0.0466437i
\(634\) 20.9378 12.0885i 0.831547 0.480094i
\(635\) 3.55644 13.2728i 0.141133 0.526715i
\(636\) −0.285334 0.222432i −0.0113142 0.00882000i
\(637\) 16.1603 7.99038i 0.640293 0.316590i
\(638\) 44.4192i 1.75857i
\(639\) −0.138184 + 9.03477i −0.00546649 + 0.357410i
\(640\) −9.82051 17.0096i −0.388190 0.672364i
\(641\) −22.6758 + 39.2757i −0.895642 + 1.55130i −0.0626345 + 0.998037i \(0.519950\pi\)
−0.833008 + 0.553261i \(0.813383\pi\)
\(642\) 6.09776 + 49.2228i 0.240659 + 1.94267i
\(643\) 7.00000 1.87564i 0.276053 0.0739682i −0.118136 0.992997i \(-0.537692\pi\)
0.394190 + 0.919029i \(0.371025\pi\)
\(644\) 0 0
\(645\) −0.704266 5.68503i −0.0277305 0.223848i
\(646\) 14.6603 25.3923i 0.576800 0.999047i
\(647\) 8.23373 + 14.2612i 0.323701 + 0.560667i 0.981249 0.192746i \(-0.0617394\pi\)
−0.657547 + 0.753413i \(0.728406\pi\)
\(648\) 5.37965 + 22.8511i 0.211333 + 0.897674i
\(649\) 12.3923i 0.486441i
\(650\) 4.75374 14.0524i 0.186457 0.551179i
\(651\) −6.73205 5.24796i −0.263850 0.205684i
\(652\) 0.287187 1.07180i 0.0112471 0.0419748i
\(653\) 8.36615 4.83020i 0.327393 0.189020i −0.327290 0.944924i \(-0.606135\pi\)
0.654683 + 0.755904i \(0.272802\pi\)
\(654\) 45.1145 18.2841i 1.76411 0.714966i
\(655\) 8.46410 + 8.46410i 0.330720 + 0.330720i
\(656\) −6.49373 24.2349i −0.253538 0.946216i
\(657\) 3.34275 1.86237i 0.130413 0.0726578i
\(658\) −9.07180 + 9.07180i −0.353655 + 0.353655i
\(659\) −23.4834 13.5581i −0.914783 0.528150i −0.0328158 0.999461i \(-0.510447\pi\)
−0.881967 + 0.471311i \(0.843781\pi\)
\(660\) 2.84809 + 0.397137i 0.110862 + 0.0154585i
\(661\) 9.42820 + 2.52628i 0.366715 + 0.0982609i 0.437470 0.899233i \(-0.355874\pi\)
−0.0707559 + 0.997494i \(0.522541\pi\)
\(662\) 51.5321 2.00285
\(663\) −23.5222 20.9047i −0.913526 0.811871i
\(664\) 10.7321 0.416484
\(665\) −7.94839 2.12976i −0.308225 0.0825887i
\(666\) −17.0375 17.5668i −0.660191 0.680699i
\(667\) 0 0
\(668\) 2.54752 2.54752i 0.0985666 0.0985666i
\(669\) −41.3274 17.4898i −1.59781 0.676194i
\(670\) −3.48334 13.0000i −0.134573 0.502234i
\(671\) 20.3652 + 20.3652i 0.786189 + 0.786189i
\(672\) 1.38556 + 3.41876i 0.0534493 + 0.131881i
\(673\) −36.9904 + 21.3564i −1.42587 + 0.823229i −0.996792 0.0800364i \(-0.974496\pi\)
−0.429082 + 0.903265i \(0.641163\pi\)
\(674\) 7.19683 26.8589i 0.277211 1.03457i
\(675\) −12.9875 5.73205i −0.499888 0.220627i
\(676\) 2.76795 + 2.11474i 0.106460 + 0.0813360i
\(677\) 9.66040i 0.371279i 0.982618 + 0.185640i \(0.0594357\pi\)
−0.982618 + 0.185640i \(0.940564\pi\)
\(678\) 21.4123 16.1716i 0.822333 0.621065i
\(679\) 1.19615 + 2.07180i 0.0459041 + 0.0795083i
\(680\) 9.89726 17.1426i 0.379543 0.657387i
\(681\) 34.8536 4.31769i 1.33559 0.165454i
\(682\) −20.8564 + 5.58846i −0.798633 + 0.213993i
\(683\) 45.2752 12.1315i 1.73241 0.464198i 0.751673 0.659536i \(-0.229247\pi\)
0.980736 + 0.195338i \(0.0625804\pi\)
\(684\) 2.66566 + 1.59387i 0.101924 + 0.0609430i
\(685\) 5.06218 8.76795i 0.193416 0.335006i
\(686\) −12.7786 22.1332i −0.487889 0.845048i
\(687\) 20.8511 + 27.6083i 0.795519 + 1.05332i
\(688\) 9.80385i 0.373768i
\(689\) 0.180895 2.80487i 0.00689154 0.106857i
\(690\) 0 0
\(691\) 4.88269 18.2224i 0.185746 0.693214i −0.808723 0.588189i \(-0.799841\pi\)
0.994470 0.105025i \(-0.0334922\pi\)
\(692\) −4.05065 + 2.33864i −0.153983 + 0.0889019i
\(693\) 16.7900 + 4.77524i 0.637800 + 0.181396i
\(694\) −21.9090 21.9090i −0.831653 0.831653i
\(695\) 7.16884 + 26.7545i 0.271930 + 1.01486i
\(696\) −12.6229 + 29.8272i −0.478469 + 1.13060i
\(697\) 20.0263 20.0263i 0.758549 0.758549i
\(698\) −37.1180 21.4301i −1.40494 0.811140i
\(699\) 4.17549 29.9448i 0.157932 1.13261i
\(700\) −1.00000 0.267949i −0.0377964 0.0101275i
\(701\) 12.7786 0.482641 0.241320 0.970446i \(-0.422420\pi\)
0.241320 + 0.970446i \(0.422420\pi\)
\(702\) 19.0630 20.8003i 0.719485 0.785058i
\(703\) 20.9282 0.789322
\(704\) −26.4692 7.09239i −0.997594 0.267304i
\(705\) −2.17000 + 15.5622i −0.0817268 + 0.586108i
\(706\) −18.4474 10.6506i −0.694279 0.400842i
\(707\) 6.02751 6.02751i 0.226688 0.226688i
\(708\) −0.544793 + 1.28731i −0.0204746 + 0.0483802i
\(709\) −3.03590 11.3301i −0.114016 0.425512i 0.885196 0.465219i \(-0.154024\pi\)
−0.999211 + 0.0397068i \(0.987358\pi\)
\(710\) 4.83020 + 4.83020i 0.181274 + 0.181274i
\(711\) −5.77113 1.64136i −0.216434 0.0615559i
\(712\) −21.0788 + 12.1699i −0.789963 + 0.456085i
\(713\) 0 0
\(714\) −11.4284 + 14.6603i −0.427696 + 0.548646i
\(715\) 9.90192 + 20.0263i 0.370311 + 0.748940i
\(716\) 7.11287i 0.265821i
\(717\) −9.74056 12.8972i −0.363768 0.481653i
\(718\) −19.4186 33.6340i −0.724695 1.25521i
\(719\) 3.68886 6.38929i 0.137571 0.238280i −0.789005 0.614386i \(-0.789404\pi\)
0.926577 + 0.376106i \(0.122737\pi\)
\(720\) 17.3101 + 10.3501i 0.645110 + 0.385727i
\(721\) 9.46410 2.53590i 0.352462 0.0944418i
\(722\) 5.92307 1.58708i 0.220434 0.0590650i
\(723\) 25.0243 3.10003i 0.930665 0.115292i
\(724\) 0.401924 0.696152i 0.0149374 0.0258723i
\(725\) −9.79282 16.9617i −0.363696 0.629940i
\(726\) 12.3394 9.31934i 0.457959 0.345873i
\(727\) 19.5167i 0.723833i 0.932211 + 0.361916i \(0.117877\pi\)
−0.932211 + 0.361916i \(0.882123\pi\)
\(728\) −7.37772 + 11.0666i −0.273437 + 0.410155i
\(729\) −18.1962 19.9474i −0.673932 0.738794i
\(730\) 0.748711 2.79423i 0.0277110 0.103419i
\(731\) 9.58394 5.53329i 0.354475 0.204656i
\(732\) −1.22024 3.01084i −0.0451014 0.111284i
\(733\) −6.77757 6.77757i −0.250335 0.250335i 0.570773 0.821108i \(-0.306644\pi\)
−0.821108 + 0.570773i \(0.806644\pi\)
\(734\) 11.8461 + 44.2104i 0.437249 + 1.63183i
\(735\) −12.0108 5.08298i −0.443025 0.187489i
\(736\) 0 0
\(737\) −21.1447 12.2079i −0.778876 0.449685i
\(738\) 17.6784 + 18.2276i 0.650750 + 0.670966i
\(739\) −11.1244 2.98076i −0.409216 0.109649i 0.0483378 0.998831i \(-0.484608\pi\)
−0.457554 + 0.889182i \(0.651274\pi\)
\(740\) −2.18573 −0.0803492
\(741\) 1.41914 + 24.0870i 0.0521334 + 0.884860i
\(742\) −1.66025 −0.0609498
\(743\) −8.51906 2.28268i −0.312534 0.0837432i 0.0991426 0.995073i \(-0.468390\pi\)
−0.411677 + 0.911330i \(0.635057\pi\)
\(744\) −15.5930 2.17429i −0.571667 0.0797132i
\(745\) 11.2583 + 6.50000i 0.412473 + 0.238142i
\(746\) 12.3403 12.3403i 0.451812 0.451812i
\(747\) −10.7826 + 6.00739i −0.394516 + 0.219799i
\(748\) 1.43782 + 5.36603i 0.0525720 + 0.196201i
\(749\) 19.0150 + 19.0150i 0.694792 + 0.694792i
\(750\) −28.1491 + 11.4084i −1.02786 + 0.416574i
\(751\) −29.2750 + 16.9019i −1.06826 + 0.616760i −0.927705 0.373313i \(-0.878222\pi\)
−0.140554 + 0.990073i \(0.544888\pi\)
\(752\) −6.95996 + 25.9749i −0.253804 + 0.947208i
\(753\) −1.35022 1.05256i −0.0492046 0.0383574i
\(754\) 38.1699 7.63397i 1.39006 0.278013i
\(755\) 1.14134i 0.0415375i
\(756\) −1.53422 1.23418i −0.0557990 0.0448866i
\(757\) −8.39230 14.5359i −0.305024 0.528316i 0.672243 0.740331i \(-0.265331\pi\)
−0.977267 + 0.212014i \(0.931998\pi\)
\(758\) −11.1430 + 19.3003i −0.404733 + 0.701019i
\(759\) 0 0
\(760\) −14.6603 + 3.92820i −0.531783 + 0.142491i
\(761\) 17.7412 4.75374i 0.643118 0.172323i 0.0775029 0.996992i \(-0.475305\pi\)
0.565616 + 0.824669i \(0.308639\pi\)
\(762\) 2.92602 + 23.6196i 0.105998 + 0.855647i
\(763\) 13.1962 22.8564i 0.477733 0.827457i
\(764\) 0.647124 + 1.12085i 0.0234121 + 0.0405510i
\(765\) −0.348161 + 22.7635i −0.0125878 + 0.823014i
\(766\) 49.5692i 1.79101i
\(767\) −10.6488 + 2.12976i −0.384507 + 0.0769014i
\(768\) 8.63397 + 6.73060i 0.311552 + 0.242870i
\(769\) −10.8301 + 40.4186i −0.390544 + 1.45753i 0.438694 + 0.898636i \(0.355441\pi\)
−0.829238 + 0.558895i \(0.811225\pi\)
\(770\) 11.4284 6.59817i 0.411850 0.237782i
\(771\) 34.5229 13.9915i 1.24331 0.503893i
\(772\) 0.0262794 + 0.0262794i 0.000945818 + 0.000945818i
\(773\) 11.1430 +