Properties

Label 546.2.bw.a.527.21
Level $546$
Weight $2$
Character 546.527
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bw (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.21
Character \(\chi\) \(=\) 546.527
Dual form 546.2.bw.a.431.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.71416 - 0.248275i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.203302 + 0.758733i) q^{5} +(-1.59150 - 0.683474i) q^{6} +(-0.313922 - 2.62706i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.87672 + 0.851169i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.71416 - 0.248275i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.203302 + 0.758733i) q^{5} +(-1.59150 - 0.683474i) q^{6} +(-0.313922 - 2.62706i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.87672 + 0.851169i) q^{9} +0.785498i q^{10} +(0.607479 + 0.607479i) q^{11} +(-1.36037 - 1.07209i) q^{12} +(2.66316 + 2.43055i) q^{13} +(0.376709 - 2.61880i) q^{14} +(-0.160118 - 1.35107i) q^{15} +(0.500000 + 0.866025i) q^{16} +(3.01144 - 5.21597i) q^{17} +(2.55840 + 1.56672i) q^{18} +(-1.00138 - 1.00138i) q^{19} +(-0.203302 + 0.758733i) q^{20} +(-0.114121 + 4.58115i) q^{21} +(0.429553 + 0.744007i) q^{22} +(3.59349 + 6.22411i) q^{23} +(-1.03654 - 1.38765i) q^{24} +(3.79578 - 2.19150i) q^{25} +(1.94334 + 3.03701i) q^{26} +(-4.71984 - 2.17326i) q^{27} +(1.04167 - 2.43206i) q^{28} +(7.77979 + 4.49166i) q^{29} +(0.195020 - 1.34647i) q^{30} +(1.05134 - 3.92364i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.890497 - 1.19214i) q^{33} +(4.25882 - 4.25882i) q^{34} +(1.92942 - 0.772269i) q^{35} +(2.06573 + 2.17549i) q^{36} +(-3.78403 - 1.01393i) q^{37} +(-0.708082 - 1.22643i) q^{38} +(-3.96165 - 4.82756i) q^{39} +(-0.392749 + 0.680261i) q^{40} +(0.830563 + 3.09970i) q^{41} +(-1.29592 + 4.39552i) q^{42} +(-3.17968 + 1.83579i) q^{43} +(0.222353 + 0.829832i) q^{44} +(-0.0609676 + 2.35570i) q^{45} +(1.86013 + 6.94209i) q^{46} +(4.80000 - 1.28616i) q^{47} +(-0.642070 - 1.60865i) q^{48} +(-6.80291 + 1.64938i) q^{49} +(4.23365 - 1.13440i) q^{50} +(-6.45710 + 8.19336i) q^{51} +(1.09109 + 3.43650i) q^{52} +(9.26822 - 5.35101i) q^{53} +(-3.99654 - 3.32080i) q^{54} +(-0.337413 + 0.584416i) q^{55} +(1.63564 - 2.07959i) q^{56} +(1.46791 + 1.96515i) q^{57} +(6.35217 + 6.35217i) q^{58} +(-13.7375 + 3.68096i) q^{59} +(0.536867 - 1.25012i) q^{60} -10.0652 q^{61} +(2.03103 - 3.51784i) q^{62} +(1.33301 - 7.82452i) q^{63} +1.00000i q^{64} +(-1.30271 + 2.51476i) q^{65} +(-0.551606 - 1.38200i) q^{66} +(-7.26892 - 7.26892i) q^{67} +(5.21597 - 3.01144i) q^{68} +(-4.61454 - 11.5613i) q^{69} +(2.06355 - 0.246585i) q^{70} +(1.26314 + 0.338458i) q^{71} +(1.43228 + 2.63601i) q^{72} +(-1.49555 - 0.400732i) q^{73} +(-3.39267 - 1.95876i) q^{74} +(-7.05069 + 2.81419i) q^{75} +(-0.366530 - 1.36791i) q^{76} +(1.40518 - 1.78659i) q^{77} +(-2.57720 - 5.68841i) q^{78} +(2.32723 - 4.03088i) q^{79} +(-0.555431 + 0.555431i) q^{80} +(7.55102 + 4.89715i) q^{81} +3.20905i q^{82} +(1.36936 - 1.36936i) q^{83} +(-2.38941 + 3.91034i) q^{84} +(4.56976 + 1.22446i) q^{85} +(-3.54648 + 0.950276i) q^{86} +(-12.2207 - 9.63098i) q^{87} +0.859106i q^{88} +(0.800997 - 2.98936i) q^{89} +(-0.668591 + 2.25966i) q^{90} +(5.54918 - 7.75929i) q^{91} +7.18698i q^{92} +(-2.77631 + 6.46475i) q^{93} +4.96933 q^{94} +(0.556197 - 0.963362i) q^{95} +(-0.203843 - 1.72001i) q^{96} +(-1.64679 + 6.14592i) q^{97} +(-6.99799 - 0.167541i) q^{98} +(1.23048 + 2.26461i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 12q^{7} + O(q^{10}) \) \( 152q + 12q^{7} + 76q^{16} - 8q^{18} + 12q^{19} + 8q^{21} + 24q^{27} + 16q^{28} - 12q^{31} - 48q^{33} + 24q^{36} - 36q^{37} - 8q^{39} + 84q^{43} - 40q^{45} - 16q^{46} - 28q^{49} + 4q^{52} + 24q^{54} + 16q^{55} - 8q^{57} - 16q^{58} + 64q^{61} - 100q^{63} + 16q^{66} - 112q^{67} + 84q^{69} + 16q^{72} - 120q^{73} - 48q^{76} - 8q^{78} + 32q^{79} + 48q^{81} - 8q^{84} - 152q^{85} + 48q^{87} + 16q^{91} - 12q^{93} - 64q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −1.71416 0.248275i −0.989673 0.143342i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 0.203302 + 0.758733i 0.0909193 + 0.339316i 0.996369 0.0851376i \(-0.0271330\pi\)
−0.905450 + 0.424453i \(0.860466\pi\)
\(6\) −1.59150 0.683474i −0.649726 0.279027i
\(7\) −0.313922 2.62706i −0.118651 0.992936i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 2.87672 + 0.851169i 0.958906 + 0.283723i
\(10\) 0.785498i 0.248396i
\(11\) 0.607479 + 0.607479i 0.183162 + 0.183162i 0.792732 0.609570i \(-0.208658\pi\)
−0.609570 + 0.792732i \(0.708658\pi\)
\(12\) −1.36037 1.07209i −0.392706 0.309487i
\(13\) 2.66316 + 2.43055i 0.738628 + 0.674113i
\(14\) 0.376709 2.61880i 0.100680 0.699903i
\(15\) −0.160118 1.35107i −0.0413423 0.348844i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 3.01144 5.21597i 0.730382 1.26506i −0.226339 0.974049i \(-0.572676\pi\)
0.956720 0.291009i \(-0.0939911\pi\)
\(18\) 2.55840 + 1.56672i 0.603020 + 0.369278i
\(19\) −1.00138 1.00138i −0.229732 0.229732i 0.582849 0.812581i \(-0.301938\pi\)
−0.812581 + 0.582849i \(0.801938\pi\)
\(20\) −0.203302 + 0.758733i −0.0454597 + 0.169658i
\(21\) −0.114121 + 4.58115i −0.0249033 + 0.999690i
\(22\) 0.429553 + 0.744007i 0.0915810 + 0.158623i
\(23\) 3.59349 + 6.22411i 0.749295 + 1.29782i 0.948161 + 0.317790i \(0.102941\pi\)
−0.198866 + 0.980027i \(0.563726\pi\)
\(24\) −1.03654 1.38765i −0.211583 0.283254i
\(25\) 3.79578 2.19150i 0.759157 0.438299i
\(26\) 1.94334 + 3.03701i 0.381121 + 0.595606i
\(27\) −4.71984 2.17326i −0.908335 0.418244i
\(28\) 1.04167 2.43206i 0.196857 0.459617i
\(29\) 7.77979 + 4.49166i 1.44467 + 0.834081i 0.998156 0.0606952i \(-0.0193318\pi\)
0.446515 + 0.894776i \(0.352665\pi\)
\(30\) 0.195020 1.34647i 0.0356056 0.245831i
\(31\) 1.05134 3.92364i 0.188826 0.704707i −0.804953 0.593338i \(-0.797810\pi\)
0.993779 0.111369i \(-0.0355236\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −0.890497 1.19214i −0.155016 0.207525i
\(34\) 4.25882 4.25882i 0.730382 0.730382i
\(35\) 1.92942 0.772269i 0.326131 0.130537i
\(36\) 2.06573 + 2.17549i 0.344288 + 0.362582i
\(37\) −3.78403 1.01393i −0.622090 0.166689i −0.0660125 0.997819i \(-0.521028\pi\)
−0.556078 + 0.831130i \(0.687694\pi\)
\(38\) −0.708082 1.22643i −0.114866 0.198954i
\(39\) −3.96165 4.82756i −0.634372 0.773028i
\(40\) −0.392749 + 0.680261i −0.0620991 + 0.107559i
\(41\) 0.830563 + 3.09970i 0.129712 + 0.484092i 0.999964 0.00851511i \(-0.00271048\pi\)
−0.870252 + 0.492608i \(0.836044\pi\)
\(42\) −1.29592 + 4.39552i −0.199965 + 0.678243i
\(43\) −3.17968 + 1.83579i −0.484897 + 0.279956i −0.722455 0.691418i \(-0.756986\pi\)
0.237558 + 0.971373i \(0.423653\pi\)
\(44\) 0.222353 + 0.829832i 0.0335210 + 0.125102i
\(45\) −0.0609676 + 2.35570i −0.00908851 + 0.351168i
\(46\) 1.86013 + 6.94209i 0.274261 + 1.02356i
\(47\) 4.80000 1.28616i 0.700152 0.187605i 0.108854 0.994058i \(-0.465282\pi\)
0.591299 + 0.806453i \(0.298615\pi\)
\(48\) −0.642070 1.60865i −0.0926748 0.232188i
\(49\) −6.80291 + 1.64938i −0.971844 + 0.235626i
\(50\) 4.23365 1.13440i 0.598728 0.160429i
\(51\) −6.45710 + 8.19336i −0.904175 + 1.14730i
\(52\) 1.09109 + 3.43650i 0.151307 + 0.476557i
\(53\) 9.26822 5.35101i 1.27309 0.735017i 0.297519 0.954716i \(-0.403841\pi\)
0.975568 + 0.219698i \(0.0705074\pi\)
\(54\) −3.99654 3.32080i −0.543860 0.451903i
\(55\) −0.337413 + 0.584416i −0.0454967 + 0.0788027i
\(56\) 1.63564 2.07959i 0.218571 0.277897i
\(57\) 1.46791 + 1.96515i 0.194430 + 0.260290i
\(58\) 6.35217 + 6.35217i 0.834081 + 0.834081i
\(59\) −13.7375 + 3.68096i −1.78847 + 0.479220i −0.992085 0.125567i \(-0.959925\pi\)
−0.796388 + 0.604786i \(0.793258\pi\)
\(60\) 0.536867 1.25012i 0.0693093 0.161390i
\(61\) −10.0652 −1.28871 −0.644357 0.764724i \(-0.722875\pi\)
−0.644357 + 0.764724i \(0.722875\pi\)
\(62\) 2.03103 3.51784i 0.257941 0.446767i
\(63\) 1.33301 7.82452i 0.167943 0.985797i
\(64\) 1.00000i 0.125000i
\(65\) −1.30271 + 2.51476i −0.161581 + 0.311918i
\(66\) −0.551606 1.38200i −0.0678979 0.170112i
\(67\) −7.26892 7.26892i −0.888039 0.888039i 0.106295 0.994335i \(-0.466101\pi\)
−0.994335 + 0.106295i \(0.966101\pi\)
\(68\) 5.21597 3.01144i 0.632529 0.365191i
\(69\) −4.61454 11.5613i −0.555526 1.39182i
\(70\) 2.06355 0.246585i 0.246642 0.0294725i
\(71\) 1.26314 + 0.338458i 0.149908 + 0.0401676i 0.332992 0.942930i \(-0.391942\pi\)
−0.183085 + 0.983097i \(0.558608\pi\)
\(72\) 1.43228 + 2.63601i 0.168796 + 0.310657i
\(73\) −1.49555 0.400732i −0.175041 0.0469021i 0.170234 0.985404i \(-0.445548\pi\)
−0.345275 + 0.938502i \(0.612214\pi\)
\(74\) −3.39267 1.95876i −0.394390 0.227701i
\(75\) −7.05069 + 2.81419i −0.814144 + 0.324954i
\(76\) −0.366530 1.36791i −0.0420439 0.156910i
\(77\) 1.40518 1.78659i 0.160136 0.203600i
\(78\) −2.57720 5.68841i −0.291810 0.644086i
\(79\) 2.32723 4.03088i 0.261834 0.453509i −0.704896 0.709311i \(-0.749006\pi\)
0.966729 + 0.255802i \(0.0823395\pi\)
\(80\) −0.555431 + 0.555431i −0.0620991 + 0.0620991i
\(81\) 7.55102 + 4.89715i 0.839003 + 0.544128i
\(82\) 3.20905i 0.354380i
\(83\) 1.36936 1.36936i 0.150307 0.150307i −0.627948 0.778255i \(-0.716105\pi\)
0.778255 + 0.627948i \(0.216105\pi\)
\(84\) −2.38941 + 3.91034i −0.260706 + 0.426653i
\(85\) 4.56976 + 1.22446i 0.495660 + 0.132812i
\(86\) −3.54648 + 0.950276i −0.382426 + 0.102471i
\(87\) −12.2207 9.63098i −1.31019 1.03255i
\(88\) 0.859106i 0.0915810i
\(89\) 0.800997 2.98936i 0.0849055 0.316872i −0.910391 0.413750i \(-0.864219\pi\)
0.995296 + 0.0968777i \(0.0308856\pi\)
\(90\) −0.668591 + 2.25966i −0.0704757 + 0.238189i
\(91\) 5.54918 7.75929i 0.581712 0.813395i
\(92\) 7.18698i 0.749295i
\(93\) −2.77631 + 6.46475i −0.287890 + 0.670363i
\(94\) 4.96933 0.512547
\(95\) 0.556197 0.963362i 0.0570646 0.0988388i
\(96\) −0.203843 1.72001i −0.0208046 0.175548i
\(97\) −1.64679 + 6.14592i −0.167207 + 0.624024i 0.830542 + 0.556956i \(0.188031\pi\)
−0.997748 + 0.0670675i \(0.978636\pi\)
\(98\) −6.99799 0.167541i −0.706904 0.0169242i
\(99\) 1.23048 + 2.26461i 0.123668 + 0.227602i
\(100\) 4.38299 0.438299
\(101\) −17.3738 −1.72876 −0.864381 0.502837i \(-0.832290\pi\)
−0.864381 + 0.502837i \(0.832290\pi\)
\(102\) −8.35768 + 6.24296i −0.827533 + 0.618145i
\(103\) −3.24085 1.87110i −0.319330 0.184365i 0.331764 0.943362i \(-0.392356\pi\)
−0.651094 + 0.758997i \(0.725690\pi\)
\(104\) 0.164482 + 3.60180i 0.0161288 + 0.353185i
\(105\) −3.49907 + 0.844770i −0.341475 + 0.0824411i
\(106\) 10.3374 2.76988i 1.00405 0.269035i
\(107\) 4.10838 2.37198i 0.397172 0.229308i −0.288091 0.957603i \(-0.593020\pi\)
0.685263 + 0.728295i \(0.259687\pi\)
\(108\) −3.00087 4.24202i −0.288759 0.408189i
\(109\) −2.96384 + 11.0612i −0.283884 + 1.05947i 0.665767 + 0.746160i \(0.268105\pi\)
−0.949651 + 0.313310i \(0.898562\pi\)
\(110\) −0.477174 + 0.477174i −0.0454967 + 0.0454967i
\(111\) 6.23471 + 2.67752i 0.591773 + 0.254139i
\(112\) 2.11814 1.58539i 0.200146 0.149806i
\(113\) −7.21357 + 4.16476i −0.678596 + 0.391787i −0.799326 0.600898i \(-0.794810\pi\)
0.120730 + 0.992685i \(0.461476\pi\)
\(114\) 0.909276 + 2.27811i 0.0851615 + 0.213364i
\(115\) −3.99187 + 3.99187i −0.372244 + 0.372244i
\(116\) 4.49166 + 7.77979i 0.417041 + 0.722335i
\(117\) 5.59236 + 9.25881i 0.517014 + 0.855977i
\(118\) −14.2221 −1.30925
\(119\) −14.6480 6.27384i −1.34278 0.575122i
\(120\) 0.842128 1.06857i 0.0768754 0.0975466i
\(121\) 10.2619i 0.932903i
\(122\) −9.72222 2.60506i −0.880209 0.235851i
\(123\) −0.654142 5.51961i −0.0589820 0.497687i
\(124\) 2.87231 2.87231i 0.257941 0.257941i
\(125\) 5.21160 + 5.21160i 0.466140 + 0.466140i
\(126\) 3.31272 7.21290i 0.295121 0.642576i
\(127\) −13.3542 7.71003i −1.18499 0.684155i −0.227827 0.973702i \(-0.573162\pi\)
−0.957164 + 0.289547i \(0.906495\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 5.90628 2.35741i 0.520019 0.207559i
\(130\) −1.90919 + 2.09191i −0.167447 + 0.183472i
\(131\) 6.14853 + 3.54985i 0.537199 + 0.310152i 0.743943 0.668243i \(-0.232953\pi\)
−0.206744 + 0.978395i \(0.566287\pi\)
\(132\) −0.175123 1.47767i −0.0152425 0.128615i
\(133\) −2.31633 + 2.94504i −0.200851 + 0.255367i
\(134\) −5.13990 8.90257i −0.444020 0.769065i
\(135\) 0.689372 4.02293i 0.0593317 0.346239i
\(136\) 5.81766 1.55884i 0.498860 0.133669i
\(137\) −18.0143 + 4.82693i −1.53907 + 0.412392i −0.925965 0.377610i \(-0.876746\pi\)
−0.613104 + 0.790002i \(0.710079\pi\)
\(138\) −1.46502 12.3617i −0.124710 1.05230i
\(139\) 9.91806 + 17.1786i 0.841239 + 1.45707i 0.888848 + 0.458202i \(0.151506\pi\)
−0.0476095 + 0.998866i \(0.515160\pi\)
\(140\) 2.05706 + 0.295904i 0.173853 + 0.0250084i
\(141\) −8.54731 + 1.01296i −0.719814 + 0.0853068i
\(142\) 1.13250 + 0.653851i 0.0950375 + 0.0548700i
\(143\) 0.141308 + 3.09432i 0.0118167 + 0.258760i
\(144\) 0.701225 + 2.91690i 0.0584355 + 0.243075i
\(145\) −1.82633 + 6.81595i −0.151668 + 0.566033i
\(146\) −1.34087 0.774154i −0.110972 0.0640695i
\(147\) 12.0708 1.13832i 0.995583 0.0938870i
\(148\) −2.77010 2.77010i −0.227701 0.227701i
\(149\) −8.04973 + 8.04973i −0.659459 + 0.659459i −0.955252 0.295793i \(-0.904416\pi\)
0.295793 + 0.955252i \(0.404416\pi\)
\(150\) −7.53881 + 0.893442i −0.615541 + 0.0729493i
\(151\) −5.39810 1.44642i −0.439291 0.117708i 0.0323931 0.999475i \(-0.489687\pi\)
−0.471684 + 0.881767i \(0.656354\pi\)
\(152\) 1.41616i 0.114866i
\(153\) 13.1027 12.4416i 1.05929 1.00585i
\(154\) 1.81971 1.36202i 0.146636 0.109755i
\(155\) 3.19074 0.256286
\(156\) −1.01711 6.16161i −0.0814342 0.493324i
\(157\) 6.20541 + 10.7481i 0.495245 + 0.857790i 0.999985 0.00548153i \(-0.00174483\pi\)
−0.504740 + 0.863272i \(0.668411\pi\)
\(158\) 3.29120 3.29120i 0.261834 0.261834i
\(159\) −17.2158 + 6.87144i −1.36530 + 0.544940i
\(160\) −0.680261 + 0.392749i −0.0537794 + 0.0310495i
\(161\) 15.2230 11.3942i 1.19974 0.897989i
\(162\) 6.02625 + 6.68463i 0.473467 + 0.525194i
\(163\) 9.32490 9.32490i 0.730382 0.730382i −0.240313 0.970695i \(-0.577250\pi\)
0.970695 + 0.240313i \(0.0772501\pi\)
\(164\) −0.830563 + 3.09970i −0.0648561 + 0.242046i
\(165\) 0.723477 0.918014i 0.0563226 0.0714673i
\(166\) 1.67712 0.968287i 0.130170 0.0751537i
\(167\) 19.6766 5.27232i 1.52262 0.407984i 0.602016 0.798484i \(-0.294364\pi\)
0.920603 + 0.390500i \(0.127698\pi\)
\(168\) −3.32006 + 3.15867i −0.256148 + 0.243697i
\(169\) 1.18486 + 12.9459i 0.0911434 + 0.995838i
\(170\) 4.09713 + 2.36548i 0.314236 + 0.181424i
\(171\) −2.02834 3.73303i −0.155111 0.285472i
\(172\) −3.67158 −0.279956
\(173\) 11.1891 0.850690 0.425345 0.905031i \(-0.360153\pi\)
0.425345 + 0.905031i \(0.360153\pi\)
\(174\) −9.31158 12.4658i −0.705909 0.945026i
\(175\) −6.94877 9.28380i −0.525278 0.701789i
\(176\) −0.222353 + 0.829832i −0.0167605 + 0.0625510i
\(177\) 24.4623 2.89908i 1.83870 0.217908i
\(178\) 1.54741 2.68019i 0.115983 0.200889i
\(179\) −2.55873 −0.191249 −0.0956243 0.995417i \(-0.530485\pi\)
−0.0956243 + 0.995417i \(0.530485\pi\)
\(180\) −1.23065 + 2.00962i −0.0917274 + 0.149788i
\(181\) 14.6075i 1.08577i −0.839808 0.542884i \(-0.817332\pi\)
0.839808 0.542884i \(-0.182668\pi\)
\(182\) 7.36835 6.05867i 0.546178 0.449098i
\(183\) 17.2534 + 2.49894i 1.27541 + 0.184727i
\(184\) −1.86013 + 6.94209i −0.137130 + 0.511778i
\(185\) 3.07720i 0.226240i
\(186\) −4.35491 + 5.52591i −0.319317 + 0.405179i
\(187\) 4.99798 1.33920i 0.365489 0.0979324i
\(188\) 4.80000 + 1.28616i 0.350076 + 0.0938026i
\(189\) −4.22763 + 13.0816i −0.307515 + 0.951543i
\(190\) 0.786581 0.786581i 0.0570646 0.0570646i
\(191\) 0.552155i 0.0399525i −0.999800 0.0199763i \(-0.993641\pi\)
0.999800 0.0199763i \(-0.00635906\pi\)
\(192\) 0.248275 1.71416i 0.0179177 0.123709i
\(193\) 18.5552 18.5552i 1.33563 1.33563i 0.435386 0.900244i \(-0.356612\pi\)
0.900244 0.435386i \(-0.143388\pi\)
\(194\) −3.18136 + 5.51028i −0.228409 + 0.395615i
\(195\) 2.85741 3.98729i 0.204624 0.285536i
\(196\) −6.71618 1.97305i −0.479727 0.140932i
\(197\) −1.08744 4.05837i −0.0774766 0.289147i 0.916307 0.400477i \(-0.131156\pi\)
−0.993783 + 0.111330i \(0.964489\pi\)
\(198\) 0.602427 + 2.50592i 0.0428126 + 0.178088i
\(199\) −9.69661 5.59834i −0.687375 0.396856i 0.115253 0.993336i \(-0.463232\pi\)
−0.802628 + 0.596480i \(0.796565\pi\)
\(200\) 4.23365 + 1.13440i 0.299364 + 0.0802143i
\(201\) 10.6554 + 14.2648i 0.751576 + 1.00616i
\(202\) −16.7818 4.49668i −1.18077 0.316385i
\(203\) 9.35764 21.8480i 0.656777 1.53343i
\(204\) −9.68869 + 3.86711i −0.678344 + 0.270752i
\(205\) −2.18299 + 1.26035i −0.152467 + 0.0880267i
\(206\) −2.64614 2.64614i −0.184365 0.184365i
\(207\) 5.03970 + 20.9637i 0.350283 + 1.45708i
\(208\) −0.773336 + 3.52164i −0.0536212 + 0.244182i
\(209\) 1.21663i 0.0841564i
\(210\) −3.59849 0.0896419i −0.248319 0.00618588i
\(211\) −6.06686 + 10.5081i −0.417660 + 0.723408i −0.995704 0.0925979i \(-0.970483\pi\)
0.578044 + 0.816006i \(0.303816\pi\)
\(212\) 10.7020 0.735017
\(213\) −2.08120 0.893780i −0.142602 0.0612408i
\(214\) 4.58231 1.22783i 0.313240 0.0839324i
\(215\) −2.03931 2.03931i −0.139080 0.139080i
\(216\) −1.80071 4.87416i −0.122523 0.331645i
\(217\) −10.6377 1.53021i −0.722134 0.103878i
\(218\) −5.72570 + 9.91720i −0.387793 + 0.671677i
\(219\) 2.46413 + 1.05823i 0.166510 + 0.0715085i
\(220\) −0.584416 + 0.337413i −0.0394013 + 0.0227484i
\(221\) 20.6976 6.57151i 1.39227 0.442048i
\(222\) 5.32928 + 4.19995i 0.357678 + 0.281882i
\(223\) 18.4444 4.94218i 1.23513 0.330953i 0.418556 0.908191i \(-0.362536\pi\)
0.816576 + 0.577238i \(0.195870\pi\)
\(224\) 2.45630 0.983159i 0.164118 0.0656900i
\(225\) 12.7847 3.07347i 0.852316 0.204898i
\(226\) −8.04569 + 2.15584i −0.535192 + 0.143404i
\(227\) 2.58579 + 9.65028i 0.171625 + 0.640512i 0.997102 + 0.0760766i \(0.0242394\pi\)
−0.825477 + 0.564435i \(0.809094\pi\)
\(228\) 0.288675 + 2.43582i 0.0191180 + 0.161316i
\(229\) 2.05810 + 7.68092i 0.136003 + 0.507570i 0.999992 + 0.00405883i \(0.00129197\pi\)
−0.863989 + 0.503511i \(0.832041\pi\)
\(230\) −4.88903 + 2.82268i −0.322373 + 0.186122i
\(231\) −2.85228 + 2.71363i −0.187666 + 0.178544i
\(232\) 2.32506 + 8.67723i 0.152647 + 0.569688i
\(233\) −12.8017 + 22.1731i −0.838664 + 1.45261i 0.0523476 + 0.998629i \(0.483330\pi\)
−0.891012 + 0.453980i \(0.850004\pi\)
\(234\) 3.00545 + 10.3907i 0.196472 + 0.679263i
\(235\) 1.95170 + 3.38044i 0.127315 + 0.220516i
\(236\) −13.7375 3.68096i −0.894236 0.239610i
\(237\) −4.99002 + 6.33179i −0.324137 + 0.411294i
\(238\) −12.5251 9.85125i −0.811883 0.638562i
\(239\) −17.7067 + 17.7067i −1.14535 + 1.14535i −0.157898 + 0.987455i \(0.550472\pi\)
−0.987455 + 0.157898i \(0.949528\pi\)
\(240\) 1.09000 0.814200i 0.0703592 0.0525564i
\(241\) 0.199072 + 0.742948i 0.0128234 + 0.0478575i 0.972041 0.234811i \(-0.0754471\pi\)
−0.959218 + 0.282668i \(0.908780\pi\)
\(242\) 2.65598 9.91227i 0.170733 0.637185i
\(243\) −11.7279 10.2692i −0.752342 0.658773i
\(244\) −8.71671 5.03259i −0.558030 0.322179i
\(245\) −2.63448 4.82627i −0.168311 0.308339i
\(246\) 0.796728 5.50084i 0.0507975 0.350721i
\(247\) −0.232934 5.10074i −0.0148212 0.324552i
\(248\) 3.51784 2.03103i 0.223383 0.128970i
\(249\) −2.68730 + 2.00734i −0.170300 + 0.127210i
\(250\) 3.68516 + 6.38289i 0.233070 + 0.403689i
\(251\) −2.31959 4.01766i −0.146411 0.253592i 0.783487 0.621408i \(-0.213439\pi\)
−0.929899 + 0.367816i \(0.880106\pi\)
\(252\) 5.06668 6.10973i 0.319171 0.384877i
\(253\) −1.59805 + 5.96399i −0.100468 + 0.374953i
\(254\) −10.9036 10.9036i −0.684155 0.684155i
\(255\) −7.52931 3.23349i −0.471504 0.202489i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.67626 + 9.83157i 0.354075 + 0.613276i 0.986959 0.160970i \(-0.0514623\pi\)
−0.632884 + 0.774247i \(0.718129\pi\)
\(258\) 6.31517 0.748426i 0.393166 0.0465950i
\(259\) −1.47576 + 10.2592i −0.0916994 + 0.637474i
\(260\) −2.38556 + 1.52649i −0.147946 + 0.0946691i
\(261\) 18.5571 + 19.5432i 1.14866 + 1.20969i
\(262\) 5.02025 + 5.02025i 0.310152 + 0.310152i
\(263\) 17.9208i 1.10504i −0.833499 0.552521i \(-0.813666\pi\)
0.833499 0.552521i \(-0.186334\pi\)
\(264\) 0.213295 1.47265i 0.0131274 0.0906352i
\(265\) 5.94423 + 5.94423i 0.365151 + 0.365151i
\(266\) −2.99964 + 2.24518i −0.183919 + 0.137661i
\(267\) −2.11523 + 4.92539i −0.129450 + 0.301429i
\(268\) −2.66061 9.92952i −0.162522 0.606542i
\(269\) −3.55080 2.05006i −0.216496 0.124994i 0.387831 0.921731i \(-0.373225\pi\)
−0.604327 + 0.796737i \(0.706558\pi\)
\(270\) 1.70709 3.70743i 0.103890 0.225627i
\(271\) −15.7584 4.22244i −0.957252 0.256495i −0.253815 0.967253i \(-0.581685\pi\)
−0.703437 + 0.710758i \(0.748352\pi\)
\(272\) 6.02288 0.365191
\(273\) −11.4386 + 11.9230i −0.692298 + 0.721612i
\(274\) −18.6498 −1.12668
\(275\) 3.63715 + 0.974571i 0.219328 + 0.0587688i
\(276\) 1.78435 12.3197i 0.107405 0.741557i
\(277\) 2.79473 + 1.61354i 0.167919 + 0.0969480i 0.581604 0.813472i \(-0.302425\pi\)
−0.413685 + 0.910420i \(0.635759\pi\)
\(278\) 5.13396 + 19.1602i 0.307915 + 1.14915i
\(279\) 6.36409 10.3924i 0.381008 0.622174i
\(280\) 1.91038 + 0.818227i 0.114167 + 0.0488984i
\(281\) −13.0111 13.0111i −0.776179 0.776179i 0.203000 0.979179i \(-0.434931\pi\)
−0.979179 + 0.203000i \(0.934931\pi\)
\(282\) −8.51825 1.23376i −0.507254 0.0734694i
\(283\) 9.45845i 0.562247i 0.959672 + 0.281123i \(0.0907070\pi\)
−0.959672 + 0.281123i \(0.909293\pi\)
\(284\) 0.924685 + 0.924685i 0.0548700 + 0.0548700i
\(285\) −1.19259 + 1.51327i −0.0706430 + 0.0896384i
\(286\) −0.664377 + 3.02546i −0.0392855 + 0.178899i
\(287\) 7.88238 3.15500i 0.465282 0.186234i
\(288\) −0.0776165 + 2.99900i −0.00457360 + 0.176718i
\(289\) −9.63755 16.6927i −0.566915 0.981925i
\(290\) −3.52819 + 6.11101i −0.207183 + 0.358851i
\(291\) 4.34876 10.1263i 0.254929 0.593612i
\(292\) −1.09482 1.09482i −0.0640695 0.0640695i
\(293\) 4.46839 16.6763i 0.261046 0.974238i −0.703580 0.710616i \(-0.748416\pi\)
0.964626 0.263622i \(-0.0849171\pi\)
\(294\) 11.9541 + 2.02462i 0.697178 + 0.118078i
\(295\) −5.58573 9.67476i −0.325214 0.563286i
\(296\) −1.95876 3.39267i −0.113850 0.197195i
\(297\) −1.54700 4.18742i −0.0897659 0.242979i
\(298\) −9.85886 + 5.69202i −0.571109 + 0.329730i
\(299\) −5.55795 + 25.3100i −0.321425 + 1.46371i
\(300\) −7.51317 1.08819i −0.433773 0.0628266i
\(301\) 5.82091 + 7.77693i 0.335512 + 0.448255i
\(302\) −4.83981 2.79426i −0.278499 0.160792i
\(303\) 29.7816 + 4.31350i 1.71091 + 0.247804i
\(304\) 0.366530 1.36791i 0.0210220 0.0784550i
\(305\) −2.04627 7.63679i −0.117169 0.437281i
\(306\) 15.8764 8.62645i 0.907594 0.493141i
\(307\) −3.21016 + 3.21016i −0.183214 + 0.183214i −0.792755 0.609541i \(-0.791354\pi\)
0.609541 + 0.792755i \(0.291354\pi\)
\(308\) 2.11022 0.844637i 0.120241 0.0481277i
\(309\) 5.09079 + 4.01200i 0.289605 + 0.228235i
\(310\) 3.08201 + 0.825823i 0.175047 + 0.0469036i
\(311\) 10.6649 + 18.4721i 0.604751 + 1.04746i 0.992091 + 0.125522i \(0.0400605\pi\)
−0.387340 + 0.921937i \(0.626606\pi\)
\(312\) 0.612287 6.21491i 0.0346639 0.351850i
\(313\) 4.51871 7.82663i 0.255413 0.442387i −0.709595 0.704610i \(-0.751122\pi\)
0.965007 + 0.262222i \(0.0844554\pi\)
\(314\) 3.21215 + 11.9879i 0.181272 + 0.676518i
\(315\) 6.20772 0.579341i 0.349765 0.0326422i
\(316\) 4.03088 2.32723i 0.226755 0.130917i
\(317\) −2.62454 9.79491i −0.147409 0.550137i −0.999636 0.0269656i \(-0.991416\pi\)
0.852228 0.523171i \(-0.175251\pi\)
\(318\) −18.4076 + 2.18153i −1.03225 + 0.122334i
\(319\) 1.99747 + 7.45466i 0.111837 + 0.417381i
\(320\) −0.758733 + 0.203302i −0.0424144 + 0.0113649i
\(321\) −7.63135 + 3.04595i −0.425940 + 0.170008i
\(322\) 17.6534 7.06594i 0.983784 0.393770i
\(323\) −8.23876 + 2.20757i −0.458417 + 0.122832i
\(324\) 4.09080 + 8.01657i 0.227267 + 0.445365i
\(325\) 15.4353 + 3.38953i 0.856198 + 0.188017i
\(326\) 11.4206 6.59370i 0.632530 0.365191i
\(327\) 7.82673 18.2249i 0.432819 1.00784i
\(328\) −1.60452 + 2.77912i −0.0885951 + 0.153451i
\(329\) −4.88564 12.2062i −0.269354 0.672947i
\(330\) 0.936425 0.699484i 0.0515485 0.0385053i
\(331\) 16.9699 + 16.9699i 0.932751 + 0.932751i 0.997877 0.0651256i \(-0.0207448\pi\)
−0.0651256 + 0.997877i \(0.520745\pi\)
\(332\) 1.87059 0.501222i 0.102662 0.0275081i
\(333\) −10.0226 6.13763i −0.549233 0.336340i
\(334\) 20.3707 1.11463
\(335\) 4.03738 6.99295i 0.220586 0.382066i
\(336\) −4.02446 + 2.19175i −0.219552 + 0.119570i
\(337\) 13.0484i 0.710794i −0.934715 0.355397i \(-0.884346\pi\)
0.934715 0.355397i \(-0.115654\pi\)
\(338\) −2.20615 + 12.8114i −0.119999 + 0.696850i
\(339\) 13.3993 5.34813i 0.727747 0.290470i
\(340\) 3.34529 + 3.34529i 0.181424 + 0.181424i
\(341\) 3.02220 1.74487i 0.163661 0.0944899i
\(342\) −0.993050 4.13080i −0.0536980 0.223368i
\(343\) 6.46861 + 17.3539i 0.349272 + 0.937021i
\(344\) −3.54648 0.950276i −0.191213 0.0512354i
\(345\) 7.83381 5.85164i 0.421758 0.315042i
\(346\) 10.8078 + 2.89595i 0.581032 + 0.155687i
\(347\) 10.0427 + 5.79814i 0.539119 + 0.311260i 0.744722 0.667375i \(-0.232582\pi\)
−0.205603 + 0.978636i \(0.565916\pi\)
\(348\) −5.76792 14.4510i −0.309193 0.774655i
\(349\) −7.54906 28.1735i −0.404092 1.50809i −0.805725 0.592290i \(-0.798224\pi\)
0.401633 0.915801i \(-0.368443\pi\)
\(350\) −4.30918 10.7659i −0.230335 0.575464i
\(351\) −7.28749 17.2596i −0.388978 0.921247i
\(352\) −0.429553 + 0.744007i −0.0228952 + 0.0396557i
\(353\) −21.2732 + 21.2732i −1.13226 + 1.13226i −0.142459 + 0.989801i \(0.545501\pi\)
−0.989801 + 0.142459i \(0.954499\pi\)
\(354\) 24.3791 + 3.53100i 1.29573 + 0.187671i
\(355\) 1.02720i 0.0545180i
\(356\) 2.18837 2.18837i 0.115983 0.115983i
\(357\) 23.5515 + 14.3911i 1.24648 + 0.761659i
\(358\) −2.47155 0.662249i −0.130625 0.0350009i
\(359\) −24.3528 + 6.52531i −1.28529 + 0.344393i −0.835870 0.548927i \(-0.815036\pi\)
−0.449421 + 0.893320i \(0.648370\pi\)
\(360\) −1.70885 + 1.62262i −0.0900641 + 0.0855198i
\(361\) 16.9945i 0.894446i
\(362\) 3.78070 14.1098i 0.198709 0.741594i
\(363\) −2.54778 + 17.5906i −0.133724 + 0.923270i
\(364\) 8.68538 3.94516i 0.455237 0.206782i
\(365\) 1.21619i 0.0636585i
\(366\) 16.0187 + 6.87929i 0.837312 + 0.359586i
\(367\) −22.0280 −1.14985 −0.574926 0.818205i \(-0.694969\pi\)
−0.574926 + 0.818205i \(0.694969\pi\)
\(368\) −3.59349 + 6.22411i −0.187324 + 0.324454i
\(369\) −0.249075 + 9.62393i −0.0129663 + 0.501002i
\(370\) 0.796438 2.97235i 0.0414048 0.154525i
\(371\) −16.9669 22.6684i −0.880878 1.17688i
\(372\) −5.63673 + 4.21048i −0.292251 + 0.218303i
\(373\) −3.42592 −0.177388 −0.0886938 0.996059i \(-0.528269\pi\)
−0.0886938 + 0.996059i \(0.528269\pi\)
\(374\) 5.17429 0.267556
\(375\) −7.63963 10.2275i −0.394509 0.528144i
\(376\) 4.30356 + 2.48466i 0.221939 + 0.128137i
\(377\) 9.80163 + 30.8712i 0.504810 + 1.58995i
\(378\) −7.46933 + 11.5416i −0.384181 + 0.593637i
\(379\) −32.6977 + 8.76132i −1.67957 + 0.450039i −0.967665 0.252239i \(-0.918833\pi\)
−0.711903 + 0.702278i \(0.752166\pi\)
\(380\) 0.963362 0.556197i 0.0494194 0.0285323i
\(381\) 20.9770 + 16.5318i 1.07469 + 0.846948i
\(382\) 0.142908 0.533340i 0.00731182 0.0272881i
\(383\) −10.7733 + 10.7733i −0.550490 + 0.550490i −0.926582 0.376092i \(-0.877268\pi\)
0.376092 + 0.926582i \(0.377268\pi\)
\(384\) 0.683474 1.59150i 0.0348784 0.0812158i
\(385\) 1.64122 + 0.702943i 0.0836442 + 0.0358253i
\(386\) 22.7253 13.1205i 1.15669 0.667815i
\(387\) −10.7096 + 2.57461i −0.544401 + 0.130875i
\(388\) −4.49913 + 4.49913i −0.228409 + 0.228409i
\(389\) 13.2965 + 23.0303i 0.674161 + 1.16768i 0.976713 + 0.214548i \(0.0688280\pi\)
−0.302552 + 0.953133i \(0.597839\pi\)
\(390\) 3.79204 3.11187i 0.192017 0.157576i
\(391\) 43.2864 2.18908
\(392\) −5.97667 3.64409i −0.301867 0.184054i
\(393\) −9.65824 7.61156i −0.487194 0.383952i
\(394\) 4.20153i 0.211670i
\(395\) 3.53149 + 0.946259i 0.177688 + 0.0476115i
\(396\) −0.0666808 + 2.57645i −0.00335083 + 0.129472i
\(397\) −0.471077 + 0.471077i −0.0236427 + 0.0236427i −0.718829 0.695187i \(-0.755322\pi\)
0.695187 + 0.718829i \(0.255322\pi\)
\(398\) −7.91725 7.91725i −0.396856 0.396856i
\(399\) 4.70175 4.47319i 0.235382 0.223940i
\(400\) 3.79578 + 2.19150i 0.189789 + 0.109575i
\(401\) 4.60614 17.1904i 0.230020 0.858446i −0.750311 0.661085i \(-0.770096\pi\)
0.980331 0.197361i \(-0.0632371\pi\)
\(402\) 6.60035 + 16.5366i 0.329195 + 0.824769i
\(403\) 12.3365 7.89398i 0.614524 0.393227i
\(404\) −15.0462 8.68692i −0.748576 0.432191i
\(405\) −2.18049 + 6.72481i −0.108349 + 0.334158i
\(406\) 14.6935 18.6816i 0.729224 0.927154i
\(407\) −1.68278 2.91466i −0.0834123 0.144474i
\(408\) −10.3594 + 1.22772i −0.512869 + 0.0607813i
\(409\) −12.0013 + 3.21575i −0.593428 + 0.159009i −0.543020 0.839720i \(-0.682719\pi\)
−0.0504088 + 0.998729i \(0.516052\pi\)
\(410\) −2.43481 + 0.652406i −0.120247 + 0.0322200i
\(411\) 32.0779 3.80163i 1.58229 0.187521i
\(412\) −1.87110 3.24085i −0.0921827 0.159665i
\(413\) 13.9826 + 34.9338i 0.688039 + 1.71898i
\(414\) −0.557829 + 21.5537i −0.0274158 + 1.05931i
\(415\) 1.31738 + 0.760588i 0.0646675 + 0.0373358i
\(416\) −1.65845 + 3.20149i −0.0813123 + 0.156966i
\(417\) −12.7362 31.9093i −0.623693 1.56261i
\(418\) 0.314888 1.17518i 0.0154017 0.0574799i
\(419\) 0.381763 + 0.220411i 0.0186503 + 0.0107678i 0.509296 0.860591i \(-0.329906\pi\)
−0.490646 + 0.871359i \(0.663239\pi\)
\(420\) −3.45267 1.01794i −0.168473 0.0496706i
\(421\) −1.57133 1.57133i −0.0765819 0.0765819i 0.667778 0.744360i \(-0.267245\pi\)
−0.744360 + 0.667778i \(0.767245\pi\)
\(422\) −8.57983 + 8.57983i −0.417660 + 0.417660i
\(423\) 14.9030 + 0.385702i 0.724608 + 0.0187535i
\(424\) 10.3374 + 2.76988i 0.502026 + 0.134517i
\(425\) 26.3982i 1.28050i
\(426\) −1.77896 1.40198i −0.0861910 0.0679262i
\(427\) 3.15968 + 26.4419i 0.152908 + 1.27961i
\(428\) 4.74395 0.229308
\(429\) 0.526019 5.33926i 0.0253965 0.257782i
\(430\) −1.44201 2.49764i −0.0695399 0.120447i
\(431\) −4.37023 + 4.37023i −0.210507 + 0.210507i −0.804483 0.593976i \(-0.797557\pi\)
0.593976 + 0.804483i \(0.297557\pi\)
\(432\) −0.477823 5.17414i −0.0229893 0.248941i
\(433\) 5.21036 3.00820i 0.250394 0.144565i −0.369551 0.929211i \(-0.620488\pi\)
0.619945 + 0.784646i \(0.287155\pi\)
\(434\) −9.87918 4.23131i −0.474216 0.203109i
\(435\) 4.82286 11.2302i 0.231238 0.538448i
\(436\) −8.09736 + 8.09736i −0.387793 + 0.387793i
\(437\) 2.63425 9.83114i 0.126013 0.470287i
\(438\) 2.10628 + 1.65993i 0.100642 + 0.0793147i
\(439\) 13.1314 7.58141i 0.626727 0.361841i −0.152756 0.988264i \(-0.548815\pi\)
0.779484 + 0.626423i \(0.215482\pi\)
\(440\) −0.651831 + 0.174658i −0.0310748 + 0.00832648i
\(441\) −20.9740 1.04561i −0.998760 0.0497911i
\(442\) 21.6932 0.990658i 1.03184 0.0471208i
\(443\) −26.3260 15.1993i −1.25079 0.722141i −0.279520 0.960140i \(-0.590175\pi\)
−0.971265 + 0.237999i \(0.923509\pi\)
\(444\) 4.06066 + 5.43616i 0.192710 + 0.257989i
\(445\) 2.43097 0.115239
\(446\) 19.0951 0.904179
\(447\) 15.7971 11.8000i 0.747177 0.558121i
\(448\) 2.62706 0.313922i 0.124117 0.0148314i
\(449\) 3.15104 11.7598i 0.148707 0.554981i −0.850856 0.525400i \(-0.823916\pi\)
0.999562 0.0295816i \(-0.00941748\pi\)
\(450\) 13.1446 + 0.340193i 0.619641 + 0.0160368i
\(451\) −1.37846 + 2.38756i −0.0649090 + 0.112426i
\(452\) −8.32951 −0.391787
\(453\) 8.89412 + 3.81961i 0.417882 + 0.179461i
\(454\) 9.99071i 0.468887i
\(455\) 7.01539 + 2.63286i 0.328886 + 0.123431i
\(456\) −0.351598 + 2.42754i −0.0164651 + 0.113680i
\(457\) 1.00277 3.74239i 0.0469076 0.175062i −0.938498 0.345285i \(-0.887782\pi\)
0.985405 + 0.170223i \(0.0544489\pi\)
\(458\) 7.95188i 0.371567i
\(459\) −25.5492 + 18.0739i −1.19253 + 0.843618i
\(460\) −5.45300 + 1.46113i −0.254247 + 0.0681254i
\(461\) −24.1876 6.48104i −1.12653 0.301852i −0.353006 0.935621i \(-0.614840\pi\)
−0.773522 + 0.633769i \(0.781507\pi\)
\(462\) −3.45743 + 1.88294i −0.160854 + 0.0876023i
\(463\) 0.0726544 0.0726544i 0.00337653 0.00337653i −0.705416 0.708793i \(-0.749240\pi\)
0.708793 + 0.705416i \(0.249240\pi\)
\(464\) 8.98333i 0.417041i
\(465\) −5.46945 0.792181i −0.253640 0.0367365i
\(466\) −18.1043 + 18.1043i −0.838664 + 0.838664i
\(467\) 6.92117 11.9878i 0.320273 0.554730i −0.660271 0.751027i \(-0.729559\pi\)
0.980544 + 0.196298i \(0.0628919\pi\)
\(468\) 0.213723 + 10.8145i 0.00987935 + 0.499902i
\(469\) −16.8140 + 21.3778i −0.776399 + 0.987133i
\(470\) 1.01027 + 3.77039i 0.0466004 + 0.173915i
\(471\) −7.96860 19.9646i −0.367174 0.919921i
\(472\) −12.3167 7.11106i −0.566923 0.327313i
\(473\) −3.04680 0.816387i −0.140092 0.0375375i
\(474\) −6.45878 + 4.82453i −0.296661 + 0.221598i
\(475\) −5.99554 1.60650i −0.275094 0.0737113i
\(476\) −9.54865 12.7573i −0.437661 0.584731i
\(477\) 31.2167 7.50452i 1.42931 0.343609i
\(478\) −21.6862 + 12.5206i −0.991905 + 0.572677i
\(479\) −24.5353 24.5353i −1.12105 1.12105i −0.991584 0.129461i \(-0.958675\pi\)
−0.129461 0.991584i \(-0.541325\pi\)
\(480\) 1.26359 0.504344i 0.0576747 0.0230201i
\(481\) −7.61308 11.8975i −0.347127 0.542480i
\(482\) 0.769157i 0.0350341i
\(483\) −28.9237 + 15.7520i −1.31607 + 0.716743i
\(484\) 5.13097 8.88710i 0.233226 0.403959i
\(485\) −4.99791 −0.226943
\(486\) −8.67036 12.9547i −0.393296 0.587638i
\(487\) −1.09169 + 0.292518i −0.0494693 + 0.0132553i −0.283469 0.958981i \(-0.591485\pi\)
0.234000 + 0.972237i \(0.424819\pi\)
\(488\) −7.11716 7.11716i −0.322179 0.322179i
\(489\) −18.2995 + 13.6693i −0.827534 + 0.618146i
\(490\) −1.29559 5.34367i −0.0585286 0.241402i
\(491\) −6.38970 + 11.0673i −0.288363 + 0.499459i −0.973419 0.229031i \(-0.926444\pi\)
0.685056 + 0.728490i \(0.259778\pi\)
\(492\) 2.19330 5.10719i 0.0988817 0.230250i
\(493\) 46.8568 27.0528i 2.11032 1.21840i
\(494\) 1.09517 4.98722i 0.0492741 0.224386i
\(495\) −1.46808 + 1.39401i −0.0659852 + 0.0626559i
\(496\) 3.92364 1.05134i 0.176177 0.0472064i
\(497\) 0.492623 3.42460i 0.0220971 0.153614i
\(498\) −3.11527 + 1.24342i −0.139598 + 0.0557188i
\(499\) 11.0593 2.96334i 0.495084 0.132657i −0.00263375 0.999997i \(-0.500838\pi\)
0.497717 + 0.867339i \(0.334172\pi\)
\(500\) 1.90758 + 7.11918i 0.0853096 + 0.318380i
\(501\) −35.0379 + 4.15242i −1.56538 + 0.185516i
\(502\) −1.20071 4.48111i −0.0535903 0.200002i
\(503\) −16.3495 + 9.43940i −0.728989 + 0.420882i −0.818052 0.575144i \(-0.804946\pi\)
0.0890630 + 0.996026i \(0.471613\pi\)
\(504\) 6.47535 4.59019i 0.288435 0.204463i
\(505\) −3.53213 13.1821i −0.157178 0.586596i
\(506\) −3.08719 + 5.34717i −0.137242 + 0.237711i
\(507\) 1.18309 22.4856i 0.0525430 0.998619i
\(508\) −7.71003 13.3542i −0.342077 0.592495i
\(509\) −23.6572 6.33892i −1.04859 0.280968i −0.306918 0.951736i \(-0.599298\pi\)
−0.741667 + 0.670768i \(0.765965\pi\)
\(510\) −6.43587 5.07204i −0.284985 0.224594i
\(511\) −0.583261 + 4.05470i −0.0258020 + 0.179370i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 2.55010 + 6.90261i 0.112589 + 0.304758i
\(514\) 2.93825 + 10.9657i 0.129601 + 0.483676i
\(515\) 0.760797 2.83933i 0.0335247 0.125116i
\(516\) 6.29370 + 0.911563i 0.277065 + 0.0401293i
\(517\) 3.69722 + 2.13459i 0.162603 + 0.0938791i
\(518\) −4.08075 + 9.52764i −0.179298 + 0.418621i
\(519\) −19.1799 2.77797i −0.841905 0.121939i
\(520\) −2.69936 + 0.857050i −0.118375 + 0.0375841i
\(521\) 12.9183 7.45837i 0.565960 0.326757i −0.189574 0.981866i \(-0.560711\pi\)
0.755534 + 0.655109i \(0.227377\pi\)
\(522\) 12.8666 + 23.6802i 0.563158 + 1.03645i
\(523\) 19.8706 + 34.4168i 0.868879 + 1.50494i 0.863143 + 0.504959i \(0.168492\pi\)
0.00573599 + 0.999984i \(0.498174\pi\)
\(524\) 3.54985 + 6.14853i 0.155076 + 0.268600i
\(525\) 9.60640 + 17.6392i 0.419258 + 0.769836i
\(526\) 4.63824 17.3101i 0.202237 0.754758i
\(527\) −17.2996 17.2996i −0.753581 0.753581i
\(528\) 0.587176 1.36726i 0.0255536 0.0595025i
\(529\) −14.3264 + 24.8140i −0.622886 + 1.07887i
\(530\) 4.20320 + 7.28016i 0.182576 + 0.316230i
\(531\) −42.6521 1.10387i −1.85094 0.0479040i
\(532\) −3.47852 + 1.39231i −0.150813 + 0.0603645i
\(533\) −5.32206 + 10.2737i −0.230524 + 0.445005i
\(534\) −3.31794 + 4.21010i −0.143581 + 0.182189i
\(535\) 2.63494 + 2.63494i 0.113918 + 0.113918i
\(536\) 10.2798i 0.444020i
\(537\) 4.38609 + 0.635270i 0.189274 + 0.0274139i
\(538\) −2.89922 2.89922i −0.124994 0.124994i
\(539\) −5.13459 3.13066i −0.221162 0.134847i
\(540\) 2.60848 3.13927i 0.112251 0.135093i
\(541\) −0.356759 1.33144i −0.0153383 0.0572432i 0.957833 0.287327i \(-0.0927666\pi\)
−0.973171 + 0.230084i \(0.926100\pi\)
\(542\) −14.1286 8.15712i −0.606873 0.350378i
\(543\) −3.62669 + 25.0397i −0.155636 + 1.07456i
\(544\) 5.81766 + 1.55884i 0.249430 + 0.0668346i
\(545\) −8.99504 −0.385305
\(546\) −14.1348 + 8.55618i −0.604913 + 0.366171i
\(547\) 9.32307 0.398626 0.199313 0.979936i \(-0.436129\pi\)
0.199313 + 0.979936i \(0.436129\pi\)
\(548\) −18.0143 4.82693i −0.769534 0.206196i
\(549\) −28.9547 8.56717i −1.23576 0.365638i
\(550\) 3.26098 + 1.88273i 0.139049 + 0.0802797i
\(551\) −3.29266 12.2884i −0.140272 0.523503i
\(552\) 4.91212 11.4381i 0.209074 0.486836i
\(553\) −11.3199 4.84839i −0.481372 0.206175i
\(554\) 2.28189 + 2.28189i 0.0969480 + 0.0969480i
\(555\) −0.763992 + 5.27483i −0.0324297 + 0.223904i
\(556\) 19.8361i 0.841239i
\(557\) −23.2277 23.2277i −0.984189 0.984189i 0.0156877 0.999877i \(-0.495006\pi\)
−0.999877 + 0.0156877i \(0.995006\pi\)
\(558\) 8.83698 8.39110i 0.374099 0.355224i
\(559\) −12.9300 2.83937i −0.546881 0.120092i
\(560\) 1.63351 + 1.28479i 0.0690285 + 0.0542923i
\(561\) −8.89985 + 1.05474i −0.375752 + 0.0445313i
\(562\) −9.20026 15.9353i −0.388090 0.672191i
\(563\) −1.00071 + 1.73327i −0.0421748 + 0.0730488i −0.886342 0.463031i \(-0.846762\pi\)
0.844167 + 0.536080i \(0.180095\pi\)
\(564\) −7.90867 3.39641i −0.333015 0.143014i
\(565\) −4.62647 4.62647i −0.194637 0.194637i
\(566\) −2.44803 + 9.13616i −0.102898 + 0.384022i
\(567\) 10.4947 21.3743i 0.440735 0.897637i
\(568\) 0.653851 + 1.13250i 0.0274350 + 0.0475188i
\(569\) −8.19471 14.1936i −0.343540 0.595029i 0.641547 0.767083i \(-0.278293\pi\)
−0.985087 + 0.172055i \(0.944959\pi\)
\(570\) −1.54362 + 1.15304i −0.0646551 + 0.0482956i
\(571\) 17.2345 9.95036i 0.721243 0.416410i −0.0939672 0.995575i \(-0.529955\pi\)
0.815210 + 0.579166i \(0.196622\pi\)
\(572\) −1.42479 + 2.75042i −0.0595733 + 0.115001i
\(573\) −0.137086 + 0.946484i −0.00572686 + 0.0395399i
\(574\) 8.43037 1.00739i 0.351877 0.0420476i
\(575\) 27.2802 + 15.7503i 1.13766 + 0.656831i
\(576\) −0.851169 + 2.87672i −0.0354654 + 0.119863i
\(577\) −3.51801 + 13.1294i −0.146457 + 0.546583i 0.853230 + 0.521535i \(0.174641\pi\)
−0.999686 + 0.0250480i \(0.992026\pi\)
\(578\) −4.98876 18.6183i −0.207505 0.774420i
\(579\) −36.4134 + 27.1998i −1.51329 + 1.13039i
\(580\) −4.98962 + 4.98962i −0.207183 + 0.207183i
\(581\) −4.02728 3.16753i −0.167080 0.131411i
\(582\) 6.82145 8.65568i 0.282758 0.358789i
\(583\) 8.88088 + 2.37962i 0.367808 + 0.0985539i
\(584\) −0.774154 1.34087i −0.0320347 0.0554858i
\(585\) −5.88802 + 6.12544i −0.243440 + 0.253256i
\(586\) 8.63227 14.9515i 0.356596 0.617642i
\(587\) 11.7270 + 43.7657i 0.484025 + 1.80641i 0.584412 + 0.811457i \(0.301325\pi\)
−0.100388 + 0.994948i \(0.532008\pi\)
\(588\) 11.0228 + 5.04959i 0.454572 + 0.208241i
\(589\) −4.98184 + 2.87627i −0.205273 + 0.118515i
\(590\) −2.89138 10.7908i −0.119036 0.444250i
\(591\) 0.856452 + 7.22669i 0.0352297 + 0.297266i
\(592\) −1.01393 3.78403i −0.0416722 0.155523i
\(593\) −5.74309 + 1.53886i −0.235841 + 0.0631933i −0.374803 0.927104i \(-0.622290\pi\)
0.138963 + 0.990298i \(0.455623\pi\)
\(594\) −0.410500 4.44513i −0.0168430 0.182386i
\(595\) 1.78219 12.3894i 0.0730628 0.507917i
\(596\) −10.9961 + 2.94641i −0.450419 + 0.120689i
\(597\) 15.2317 + 12.0039i 0.623390 + 0.491287i
\(598\) −11.9193 + 23.0091i −0.487415 + 0.940910i
\(599\) 29.0652 16.7808i 1.18757 0.685644i 0.229817 0.973234i \(-0.426187\pi\)
0.957754 + 0.287590i \(0.0928539\pi\)
\(600\) −6.97552 2.99566i −0.284774 0.122297i
\(601\) −21.5761 + 37.3709i −0.880109 + 1.52439i −0.0288892 + 0.999583i \(0.509197\pi\)
−0.851219 + 0.524810i \(0.824136\pi\)
\(602\) 3.60975 + 9.01850i 0.147122 + 0.367567i
\(603\) −14.7236 27.0977i −0.599589 1.10350i
\(604\) −3.95168 3.95168i −0.160792 0.160792i
\(605\) 7.78607 2.08627i 0.316549 0.0848190i
\(606\) 27.6504 + 11.8746i 1.12322 + 0.482371i
\(607\) −4.88660 −0.198341 −0.0991705 0.995070i \(-0.531619\pi\)
−0.0991705 + 0.995070i \(0.531619\pi\)
\(608\) 0.708082 1.22643i 0.0287165 0.0497385i
\(609\) −21.4648 + 35.1278i −0.869800 + 1.42345i
\(610\) 7.90618i 0.320112i
\(611\) 15.9093 + 8.24140i 0.643619 + 0.333411i
\(612\) 17.5681 4.22340i 0.710149 0.170721i
\(613\) −28.0869 28.0869i −1.13442 1.13442i −0.989434 0.144985i \(-0.953687\pi\)
−0.144985 0.989434i \(-0.546313\pi\)
\(614\) −3.93163 + 2.26993i −0.158668 + 0.0916069i
\(615\) 4.05492 1.61847i 0.163510 0.0652628i
\(616\) 2.25692 0.269692i 0.0909340 0.0108662i
\(617\) 36.8763 + 9.88098i 1.48458 + 0.397793i 0.907904 0.419177i \(-0.137681\pi\)
0.576680 + 0.816970i \(0.304348\pi\)
\(618\) 3.87895 + 5.19289i 0.156034 + 0.208889i
\(619\) −9.85373 2.64030i −0.396055 0.106123i 0.0552942 0.998470i \(-0.482390\pi\)
−0.451349 + 0.892348i \(0.649057\pi\)
\(620\) 2.76326 + 1.59537i 0.110975 + 0.0640715i
\(621\) −3.43410 37.1864i −0.137806 1.49224i
\(622\) 5.52055 + 20.6030i 0.221354 + 0.826105i
\(623\) −8.10469 1.16584i −0.324708 0.0467086i
\(624\) 2.19996 5.84467i 0.0880689 0.233974i
\(625\) 8.06280 13.9652i 0.322512 0.558607i
\(626\) 6.39042 6.39042i 0.255413 0.255413i
\(627\) −0.302060 + 2.08551i −0.0120631 + 0.0832873i
\(628\) 12.4108i 0.495245i
\(629\) −16.6840 + 16.6840i −0.665234 + 0.665234i
\(630\) 6.14614 + 1.04708i 0.244868 + 0.0417165i
\(631\) −34.8008 9.32484i −1.38540 0.371216i −0.512319 0.858795i \(-0.671213\pi\)
−0.873079 + 0.487579i \(0.837880\pi\)
\(632\) 4.49586 1.20466i 0.178836 0.0479189i
\(633\) 13.0085 16.5064i 0.517041 0.656069i
\(634\) 10.1404i 0.402728i
\(635\) 3.13493 11.6997i 0.124406 0.464289i
\(636\) −18.3450 2.65704i −0.727427 0.105359i
\(637\) −22.1261 12.1422i −0.876670 0.481092i
\(638\) 7.71763i 0.305544i
\(639\) 3.34562 + 2.04880i 0.132351 + 0.0810492i
\(640\) −0.785498 −0.0310495
\(641\) −11.6800 + 20.2303i −0.461331 + 0.799049i −0.999028 0.0440894i \(-0.985961\pi\)
0.537696 + 0.843139i \(0.319295\pi\)
\(642\) −8.15967 + 0.967021i −0.322036 + 0.0381653i
\(643\) 8.02234 29.9398i 0.316370 1.18071i −0.606337 0.795208i \(-0.707362\pi\)
0.922707 0.385502i \(-0.125972\pi\)
\(644\) 18.8807 2.25615i 0.744002 0.0889047i
\(645\) 2.98940 + 4.00202i 0.117708 + 0.157580i
\(646\) −8.52939 −0.335584
\(647\) 5.86753 0.230676 0.115338 0.993326i \(-0.463205\pi\)
0.115338 + 0.993326i \(0.463205\pi\)
\(648\) 1.87657 + 8.80219i 0.0737187 + 0.345783i
\(649\) −10.5814 6.10915i −0.415355 0.239805i
\(650\) 14.0321 + 7.26899i 0.550384 + 0.285113i
\(651\) 17.8548 + 5.26411i 0.699786 + 0.206317i
\(652\) 12.7380 3.41315i 0.498860 0.133669i
\(653\) −13.9274 + 8.04098i −0.545021 + 0.314668i −0.747111 0.664699i \(-0.768560\pi\)
0.202091 + 0.979367i \(0.435226\pi\)
\(654\) 12.2770 15.5782i 0.480068 0.609154i
\(655\) −1.44338 + 5.38678i −0.0563976 + 0.210479i
\(656\) −2.26914 + 2.26914i −0.0885951 + 0.0885951i
\(657\) −3.96119 2.42576i −0.154541 0.0946379i
\(658\) −1.55998 13.0547i −0.0608143 0.508926i
\(659\) 23.0854 13.3284i 0.899279 0.519199i 0.0223131 0.999751i \(-0.492897\pi\)
0.876966 + 0.480552i \(0.159564\pi\)
\(660\) 1.08556 0.433285i 0.0422552 0.0168656i
\(661\) −5.28278 + 5.28278i −0.205476 + 0.205476i −0.802342 0.596865i \(-0.796413\pi\)
0.596865 + 0.802342i \(0.296413\pi\)
\(662\) 11.9995 + 20.7838i 0.466376 + 0.807786i
\(663\) −37.1107 + 6.12595i −1.44126 + 0.237912i
\(664\) 1.93657 0.0751537
\(665\) −2.70541 1.15874i −0.104911 0.0449342i
\(666\) −8.09252 8.52253i −0.313579 0.330241i
\(667\) 64.5630i 2.49989i
\(668\) 19.6766 + 5.27232i 0.761309 + 0.203992i
\(669\) −32.8438 + 3.89240i −1.26982 + 0.150489i
\(670\) 5.70972 5.70972i 0.220586 0.220586i
\(671\) −6.11439 6.11439i −0.236043 0.236043i
\(672\) −4.45459 + 1.07546i −0.171840 + 0.0414867i
\(673\) 8.26967 + 4.77450i 0.318772 + 0.184043i 0.650845 0.759210i \(-0.274415\pi\)
−0.332073 + 0.943254i \(0.607748\pi\)
\(674\) 3.37719 12.6038i 0.130084 0.485481i
\(675\) −22.6782 + 2.09429i −0.872884 + 0.0806094i
\(676\) −5.44682 + 11.8039i −0.209493 + 0.453996i
\(677\) −12.9359 7.46857i −0.497168 0.287040i 0.230375 0.973102i \(-0.426005\pi\)
−0.727543 + 0.686062i \(0.759338\pi\)
\(678\) 14.3269 1.69791i 0.550221 0.0652079i
\(679\) 16.6627 + 2.39689i 0.639455 + 0.0919844i
\(680\) 2.36548 + 4.09713i 0.0907120 + 0.157118i
\(681\) −2.03654 17.1842i −0.0780402 0.658498i
\(682\) 3.37083 0.903210i 0.129076 0.0345857i
\(683\) 12.9722 3.47590i 0.496368 0.133001i −0.00194581 0.999998i \(-0.500619\pi\)
0.498314 + 0.866997i \(0.333953\pi\)
\(684\) 0.109918 4.24707i 0.00420281 0.162391i
\(685\) −7.32469 12.6867i −0.279862 0.484735i
\(686\) 1.75668 + 18.4368i 0.0670704 + 0.703919i
\(687\) −1.62093 13.6773i −0.0618425 0.521823i
\(688\) −3.17968 1.83579i −0.121224 0.0699889i
\(689\) 37.6886 + 8.27625i 1.43582 + 0.315300i
\(690\) 9.08140 3.62471i 0.345723 0.137991i
\(691\) −2.71793 + 10.1435i −0.103395 + 0.385876i −0.998158 0.0606655i \(-0.980678\pi\)
0.894763 + 0.446541i \(0.147344\pi\)
\(692\) 9.69003 + 5.59454i 0.368360 + 0.212672i
\(693\) 5.56301 3.94346i 0.211321 0.149800i
\(694\) 8.19981 + 8.19981i 0.311260 + 0.311260i
\(695\) −11.0176 + 11.0176i −0.417921 + 0.417921i
\(696\) −1.83119 15.4515i −0.0694110 0.585686i
\(697\) 18.6692 + 5.00238i 0.707144 + 0.189479i
\(698\) 29.1673i 1.10400i
\(699\) 27.4492 34.8300i 1.03822 1.31739i
\(700\) −1.37592 11.5144i −0.0520047 0.435203i
\(701\) 28.4326 1.07388 0.536942 0.843619i \(-0.319580\pi\)
0.536942 + 0.843619i \(0.319580\pi\)
\(702\) −2.57207 18.5576i −0.0970767 0.700411i
\(703\) 2.77392 + 4.80457i 0.104620 + 0.181208i
\(704\) −0.607479 + 0.607479i −0.0228952 + 0.0228952i
\(705\) −2.50625 6.27919i −0.0943909 0.236488i
\(706\) −26.0543 + 15.0424i −0.980566 + 0.566130i
\(707\) 5.45402 + 45.6422i 0.205120 + 1.71655i
\(708\) 22.6345 + 9.72045i 0.850656 + 0.365317i
\(709\) 19.2479 19.2479i 0.722871 0.722871i −0.246318 0.969189i \(-0.579221\pi\)
0.969189 + 0.246318i \(0.0792206\pi\)
\(710\) −0.265858 + 0.992196i −0.00997748 + 0.0372365i
\(711\) 10.1257 9.61484i 0.379745 0.360585i
\(712\) 2.68019 1.54741i 0.100444 0.0579916i
\(713\) 28.1992 7.55595i 1.05607 0.282972i
\(714\) 19.0243 + 19.9963i 0.711966 + 0.748344i
\(715\) −2.31904 + 0.736297i −0.0867271 + 0.0275359i
\(716\) −2.21593 1.27937i −0.0828131 0.0478122i
\(717\) 34.7484 25.9561i 1.29770 0.969349i
\(718\) −25.2119 −0.940899
\(719\) 44.0430 1.64253 0.821263 0.570550i \(-0.193270\pi\)
0.821263 + 0.570550i \(0.193270\pi\)
\(720\) −2.07058 + 1.12505i −0.0771661 + 0.0419282i
\(721\) −3.89813 + 9.10128i −0.145174 + 0.338949i
\(722\) 4.39849 16.4154i 0.163695 0.610918i
\(723\) −0.156787 1.32296i −0.00583098 0.0492014i
\(724\) 7.30376 12.6505i 0.271442 0.470152i
\(725\) 39.3739 1.46231
\(726\) −7.01377 + 16.3318i −0.260305 + 0.606132i
\(727\) 12.7727i 0.473712i −0.971545 0.236856i \(-0.923883\pi\)
0.971545 0.236856i \(-0.0761169\pi\)
\(728\) 9.41051 1.56279i 0.348777 0.0579207i
\(729\) 17.5539 + 20.5149i 0.650143 + 0.759812i
\(730\) 0.314774 1.17475i 0.0116503 0.0434795i
\(731\) 22.1135i 0.817898i
\(732\) 13.6924 + 10.7908i 0.506086 + 0.398841i
\(733\) −3.49207 + 0.935698i −0.128983 + 0.0345608i −0.322733 0.946490i \(-0.604602\pi\)
0.193750 + 0.981051i \(0.437935\pi\)
\(734\) −21.2774 5.70127i −0.785364 0.210438i
\(735\) 3.31770 + 8.92709i 0.122375 + 0.329281i
\(736\) −5.08197 + 5.08197i −0.187324 + 0.187324i
\(737\) 8.83143i 0.325310i
\(738\) −2.73144 + 9.23153i −0.100546 + 0.339817i
\(739\) −0.282571 + 0.282571i −0.0103945 + 0.0103945i −0.712285 0.701890i \(-0.752340\pi\)
0.701890 + 0.712285i \(0.252340\pi\)
\(740\) 1.53860 2.66493i 0.0565601 0.0979649i
\(741\) −0.867099 + 8.80133i −0.0318537 + 0.323325i
\(742\) −10.5218 26.2873i −0.386267 0.965038i
\(743\) −4.39623 16.4070i −0.161282 0.601913i −0.998485 0.0550208i \(-0.982477\pi\)
0.837203 0.546892i \(-0.184189\pi\)
\(744\) −6.53442 + 2.60812i −0.239563 + 0.0956184i
\(745\) −7.74412 4.47107i −0.283722 0.163807i
\(746\) −3.30919 0.886694i −0.121158 0.0324642i
\(747\) 5.10484 2.77372i 0.186776 0.101485i
\(748\) 4.99798 + 1.33920i 0.182744 + 0.0489662i
\(749\) −7.52104 10.0484i −0.274813 0.367159i
\(750\) −4.73226 11.8562i −0.172798 0.432929i
\(751\) 4.10366 2.36925i 0.149745 0.0864551i −0.423256 0.906010i \(-0.639113\pi\)
0.573000 + 0.819555i \(0.305779\pi\)
\(752\) 3.51385 + 3.51385i 0.128137 + 0.128137i
\(753\) 2.97868 + 7.46282i 0.108549 + 0.271960i
\(754\) 1.47760 + 32.3561i 0.0538110 + 1.17834i
\(755\) 4.38978i 0.159760i
\(756\) −10.2020 + 9.21515i −0.371044 + 0.335152i
\(757\) 1.36225 2.35948i 0.0495117 0.0857567i −0.840207 0.542265i \(-0.817567\pi\)
0.889719 + 0.456508i \(0.150900\pi\)
\(758\) −33.8511 −1.22953
\(759\) 4.22003 9.82651i 0.153177 0.356680i
\(760\) 1.07449 0.287909i 0.0389759 0.0104435i
\(761\) 33.9082 + 33.9082i 1.22917 + 1.22917i 0.964277 + 0.264896i \(0.0853376\pi\)
0.264896 + 0.964277i \(0.414662\pi\)
\(762\) 15.9835 + 21.3977i 0.579022 + 0.775158i
\(763\) 29.9889 + 4.31384i 1.08567 + 0.156171i
\(764\) 0.276077 0.478180i 0.00998813 0.0172999i
\(765\) 12.1037 + 7.41207i 0.437610 + 0.267984i
\(766\) −13.1946 + 7.61788i −0.476739 + 0.275245i
\(767\) −45.5320 23.5867i −1.64406 0.851667i
\(768\) 1.07209 1.36037i 0.0386859 0.0490882i
\(769\) 20.9168 5.60464i 0.754279 0.202109i 0.138864 0.990311i \(-0.455655\pi\)
0.615415 + 0.788203i \(0.288988\pi\)
\(770\) 1.40336 + 1.10377i 0.0505736 + 0.0397771i
\(771\) −7.28910 18.2622i −0.262511 0.657697i
\(772\) 25.3468 6.79166i 0.912252 0.244437i
\(773\) 0.587641 + 2.19311i 0.0211360 + 0.0788806i 0.975688 0.219163i \(-0.0703326\pi\)
−0.954552 + 0.298044i \(0.903666\pi\)
\(774\) −11.0111