Properties

Label 189.2.bd.a.47.5
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.5
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.63190 - 0.287749i) q^{2} +(1.35485 + 1.07906i) q^{3} +(0.700923 + 0.255115i) q^{4} +(-3.60525 - 1.31220i) q^{5} +(-1.90049 - 2.15078i) q^{6} +(2.03118 + 1.69538i) q^{7} +(1.79971 + 1.03907i) q^{8} +(0.671243 + 2.92394i) q^{9} +O(q^{10})\) \(q+(-1.63190 - 0.287749i) q^{2} +(1.35485 + 1.07906i) q^{3} +(0.700923 + 0.255115i) q^{4} +(-3.60525 - 1.31220i) q^{5} +(-1.90049 - 2.15078i) q^{6} +(2.03118 + 1.69538i) q^{7} +(1.79971 + 1.03907i) q^{8} +(0.671243 + 2.92394i) q^{9} +(5.50583 + 3.17879i) q^{10} +(0.982995 + 2.70076i) q^{11} +(0.674361 + 1.10198i) q^{12} +(-1.44158 + 3.96072i) q^{13} +(-2.82685 - 3.35116i) q^{14} +(-3.46863 - 5.66814i) q^{15} +(-3.78076 - 3.17244i) q^{16} +(-1.59416 + 2.76117i) q^{17} +(-0.254044 - 4.96474i) q^{18} +(-1.96303 + 1.13336i) q^{19} +(-2.19224 - 1.83951i) q^{20} +(0.922531 + 4.48876i) q^{21} +(-0.827014 - 4.69023i) q^{22} +(2.25312 - 0.397286i) q^{23} +(1.31713 + 3.34978i) q^{24} +(7.44573 + 6.24771i) q^{25} +(3.49221 - 6.04869i) q^{26} +(-2.24568 + 4.68582i) q^{27} +(0.991186 + 1.70651i) q^{28} +(0.356349 + 0.979061i) q^{29} +(4.02946 + 10.2479i) q^{30} +(2.96755 - 8.15327i) q^{31} +(2.58538 + 3.08114i) q^{32} +(-1.58248 + 4.71984i) q^{33} +(3.39605 - 4.04725i) q^{34} +(-5.09824 - 8.77758i) q^{35} +(-0.275452 + 2.22070i) q^{36} +0.0244697 q^{37} +(3.52960 - 1.28467i) q^{38} +(-6.22700 + 3.81062i) q^{39} +(-5.12495 - 6.10768i) q^{40} +(-2.99981 - 1.09184i) q^{41} +(-0.213847 - 7.59067i) q^{42} +(-0.110557 + 0.627001i) q^{43} +2.14380i q^{44} +(1.41681 - 11.4223i) q^{45} -3.79119 q^{46} +(10.0976 - 3.67521i) q^{47} +(-1.69911 - 8.37787i) q^{48} +(1.25140 + 6.88723i) q^{49} +(-10.3529 - 12.3382i) q^{50} +(-5.13934 + 2.02078i) q^{51} +(-2.02088 + 2.40839i) q^{52} +(1.91685 - 1.10670i) q^{53} +(5.01308 - 7.00061i) q^{54} -11.0268i q^{55} +(1.89394 + 5.16172i) q^{56} +(-3.88258 - 0.582707i) q^{57} +(-0.299804 - 1.70027i) q^{58} +(-8.38964 + 7.03975i) q^{59} +(-0.985213 - 4.85782i) q^{60} +(-2.60670 - 7.16186i) q^{61} +(-7.18884 + 12.4514i) q^{62} +(-3.59376 + 7.07707i) q^{63} +(1.60294 + 2.77637i) q^{64} +(10.3945 - 12.3877i) q^{65} +(3.94057 - 7.24696i) q^{66} +(-1.88769 - 10.7056i) q^{67} +(-1.82180 + 1.52867i) q^{68} +(3.48134 + 1.89300i) q^{69} +(5.79410 + 15.7912i) q^{70} +(3.88604 - 2.24361i) q^{71} +(-1.83012 + 5.95972i) q^{72} -2.22546i q^{73} +(-0.0399322 - 0.00704112i) q^{74} +(3.34618 + 16.4991i) q^{75} +(-1.66507 + 0.293597i) q^{76} +(-2.58216 + 7.15227i) q^{77} +(11.2584 - 4.42676i) q^{78} +(-2.19643 + 12.4566i) q^{79} +(9.46771 + 16.3986i) q^{80} +(-8.09886 + 3.92535i) q^{81} +(4.58122 + 2.64497i) q^{82} +(4.16888 - 1.51735i) q^{83} +(-0.498526 + 3.38162i) q^{84} +(9.37059 - 7.86286i) q^{85} +(0.360837 - 0.991392i) q^{86} +(-0.573669 + 1.71100i) q^{87} +(-1.03715 + 5.88198i) q^{88} +(2.36580 + 4.09769i) q^{89} +(-5.59885 + 18.2325i) q^{90} +(-9.64302 + 5.60091i) q^{91} +(1.68062 + 0.296338i) q^{92} +(12.8185 - 7.84430i) q^{93} +(-17.5358 + 3.09203i) q^{94} +(8.56442 - 1.51014i) q^{95} +(0.178064 + 6.96428i) q^{96} +(-13.0174 - 2.29533i) q^{97} +(-0.0603728 - 11.5994i) q^{98} +(-7.23702 + 4.68708i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.63190 0.287749i −1.15393 0.203469i −0.436239 0.899831i \(-0.643690\pi\)
−0.717691 + 0.696362i \(0.754801\pi\)
\(3\) 1.35485 + 1.07906i 0.782224 + 0.622998i
\(4\) 0.700923 + 0.255115i 0.350461 + 0.127558i
\(5\) −3.60525 1.31220i −1.61232 0.586835i −0.630420 0.776254i \(-0.717118\pi\)
−0.981896 + 0.189418i \(0.939340\pi\)
\(6\) −1.90049 2.15078i −0.775870 0.878054i
\(7\) 2.03118 + 1.69538i 0.767715 + 0.640792i
\(8\) 1.79971 + 1.03907i 0.636295 + 0.367365i
\(9\) 0.671243 + 2.92394i 0.223748 + 0.974647i
\(10\) 5.50583 + 3.17879i 1.74110 + 1.00522i
\(11\) 0.982995 + 2.70076i 0.296384 + 0.814309i 0.995097 + 0.0989062i \(0.0315344\pi\)
−0.698713 + 0.715402i \(0.746243\pi\)
\(12\) 0.674361 + 1.10198i 0.194671 + 0.318115i
\(13\) −1.44158 + 3.96072i −0.399823 + 1.09851i 0.562547 + 0.826765i \(0.309821\pi\)
−0.962371 + 0.271740i \(0.912401\pi\)
\(14\) −2.82685 3.35116i −0.755507 0.895635i
\(15\) −3.46863 5.66814i −0.895595 1.46351i
\(16\) −3.78076 3.17244i −0.945191 0.793109i
\(17\) −1.59416 + 2.76117i −0.386642 + 0.669683i −0.991995 0.126273i \(-0.959698\pi\)
0.605354 + 0.795957i \(0.293032\pi\)
\(18\) −0.254044 4.96474i −0.0598788 1.17020i
\(19\) −1.96303 + 1.13336i −0.450351 + 0.260010i −0.707978 0.706234i \(-0.750393\pi\)
0.257628 + 0.966244i \(0.417059\pi\)
\(20\) −2.19224 1.83951i −0.490200 0.411326i
\(21\) 0.922531 + 4.48876i 0.201313 + 0.979527i
\(22\) −0.827014 4.69023i −0.176320 0.999960i
\(23\) 2.25312 0.397286i 0.469808 0.0828398i 0.0662680 0.997802i \(-0.478891\pi\)
0.403540 + 0.914962i \(0.367780\pi\)
\(24\) 1.31713 + 3.34978i 0.268857 + 0.683772i
\(25\) 7.44573 + 6.24771i 1.48915 + 1.24954i
\(26\) 3.49221 6.04869i 0.684880 1.18625i
\(27\) −2.24568 + 4.68582i −0.432182 + 0.901786i
\(28\) 0.991186 + 1.70651i 0.187317 + 0.322501i
\(29\) 0.356349 + 0.979061i 0.0661723 + 0.181807i 0.968372 0.249513i \(-0.0802704\pi\)
−0.902199 + 0.431320i \(0.858048\pi\)
\(30\) 4.02946 + 10.2479i 0.735676 + 1.87101i
\(31\) 2.96755 8.15327i 0.532988 1.46437i −0.322511 0.946566i \(-0.604527\pi\)
0.855498 0.517805i \(-0.173251\pi\)
\(32\) 2.58538 + 3.08114i 0.457035 + 0.544673i
\(33\) −1.58248 + 4.71984i −0.275474 + 0.821618i
\(34\) 3.39605 4.04725i 0.582417 0.694098i
\(35\) −5.09824 8.77758i −0.861760 1.48368i
\(36\) −0.275452 + 2.22070i −0.0459086 + 0.370117i
\(37\) 0.0244697 0.00402279 0.00201140 0.999998i \(-0.499360\pi\)
0.00201140 + 0.999998i \(0.499360\pi\)
\(38\) 3.52960 1.28467i 0.572577 0.208401i
\(39\) −6.22700 + 3.81062i −0.997118 + 0.610188i
\(40\) −5.12495 6.10768i −0.810326 0.965709i
\(41\) −2.99981 1.09184i −0.468492 0.170517i 0.0969772 0.995287i \(-0.469083\pi\)
−0.565469 + 0.824770i \(0.691305\pi\)
\(42\) −0.213847 7.59067i −0.0329974 1.17127i
\(43\) −0.110557 + 0.627001i −0.0168598 + 0.0956167i −0.992077 0.125635i \(-0.959903\pi\)
0.975217 + 0.221252i \(0.0710143\pi\)
\(44\) 2.14380i 0.323190i
\(45\) 1.41681 11.4223i 0.211205 1.70274i
\(46\) −3.79119 −0.558980
\(47\) 10.0976 3.67521i 1.47288 0.536084i 0.523999 0.851719i \(-0.324440\pi\)
0.948881 + 0.315635i \(0.102217\pi\)
\(48\) −1.69911 8.37787i −0.245245 1.20924i
\(49\) 1.25140 + 6.88723i 0.178772 + 0.983891i
\(50\) −10.3529 12.3382i −1.46413 1.74488i
\(51\) −5.13934 + 2.02078i −0.719651 + 0.282965i
\(52\) −2.02088 + 2.40839i −0.280245 + 0.333983i
\(53\) 1.91685 1.10670i 0.263300 0.152016i −0.362539 0.931969i \(-0.618090\pi\)
0.625839 + 0.779952i \(0.284757\pi\)
\(54\) 5.01308 7.00061i 0.682193 0.952662i
\(55\) 11.0268i 1.48685i
\(56\) 1.89394 + 5.16172i 0.253088 + 0.689764i
\(57\) −3.88258 0.582707i −0.514261 0.0771814i
\(58\) −0.299804 1.70027i −0.0393661 0.223257i
\(59\) −8.38964 + 7.03975i −1.09224 + 0.916497i −0.996879 0.0789460i \(-0.974845\pi\)
−0.0953596 + 0.995443i \(0.530400\pi\)
\(60\) −0.985213 4.85782i −0.127190 0.627142i
\(61\) −2.60670 7.16186i −0.333754 0.916982i −0.987126 0.159945i \(-0.948868\pi\)
0.653372 0.757037i \(-0.273354\pi\)
\(62\) −7.18884 + 12.4514i −0.912984 + 1.58133i
\(63\) −3.59376 + 7.07707i −0.452772 + 0.891627i
\(64\) 1.60294 + 2.77637i 0.200367 + 0.347046i
\(65\) 10.3945 12.3877i 1.28928 1.53651i
\(66\) 3.94057 7.24696i 0.485051 0.892039i
\(67\) −1.88769 10.7056i −0.230618 1.30790i −0.851649 0.524113i \(-0.824397\pi\)
0.621031 0.783786i \(-0.286714\pi\)
\(68\) −1.82180 + 1.52867i −0.220926 + 0.185379i
\(69\) 3.48134 + 1.89300i 0.419104 + 0.227890i
\(70\) 5.79410 + 15.7912i 0.692527 + 1.88741i
\(71\) 3.88604 2.24361i 0.461188 0.266267i −0.251356 0.967895i \(-0.580876\pi\)
0.712544 + 0.701628i \(0.247543\pi\)
\(72\) −1.83012 + 5.95972i −0.215682 + 0.702360i
\(73\) 2.22546i 0.260470i −0.991483 0.130235i \(-0.958427\pi\)
0.991483 0.130235i \(-0.0415732\pi\)
\(74\) −0.0399322 0.00704112i −0.00464202 0.000818514i
\(75\) 3.34618 + 16.4991i 0.386384 + 1.90516i
\(76\) −1.66507 + 0.293597i −0.190997 + 0.0336779i
\(77\) −2.58216 + 7.15227i −0.294264 + 0.815077i
\(78\) 11.2584 4.42676i 1.27476 0.501232i
\(79\) −2.19643 + 12.4566i −0.247118 + 1.40147i 0.568405 + 0.822749i \(0.307561\pi\)
−0.815523 + 0.578725i \(0.803551\pi\)
\(80\) 9.46771 + 16.3986i 1.05852 + 1.83342i
\(81\) −8.09886 + 3.92535i −0.899874 + 0.436150i
\(82\) 4.58122 + 2.64497i 0.505912 + 0.292088i
\(83\) 4.16888 1.51735i 0.457594 0.166550i −0.102931 0.994689i \(-0.532822\pi\)
0.560524 + 0.828138i \(0.310600\pi\)
\(84\) −0.498526 + 3.38162i −0.0543937 + 0.368965i
\(85\) 9.37059 7.86286i 1.01638 0.852846i
\(86\) 0.360837 0.991392i 0.0389101 0.106905i
\(87\) −0.573669 + 1.71100i −0.0615038 + 0.183439i
\(88\) −1.03715 + 5.88198i −0.110561 + 0.627022i
\(89\) 2.36580 + 4.09769i 0.250774 + 0.434354i 0.963739 0.266846i \(-0.0859814\pi\)
−0.712965 + 0.701200i \(0.752648\pi\)
\(90\) −5.59885 + 18.2325i −0.590171 + 1.92187i
\(91\) −9.64302 + 5.60091i −1.01086 + 0.587135i
\(92\) 1.68062 + 0.296338i 0.175216 + 0.0308954i
\(93\) 12.8185 7.84430i 1.32922 0.813416i
\(94\) −17.5358 + 3.09203i −1.80868 + 0.318918i
\(95\) 8.56442 1.51014i 0.878691 0.154937i
\(96\) 0.178064 + 6.96428i 0.0181735 + 0.710788i
\(97\) −13.0174 2.29533i −1.32172 0.233055i −0.532117 0.846671i \(-0.678603\pi\)
−0.789605 + 0.613616i \(0.789714\pi\)
\(98\) −0.0603728 11.5994i −0.00609857 1.17171i
\(99\) −7.23702 + 4.68708i −0.727348 + 0.471070i
\(100\) 3.62500 + 6.27868i 0.362500 + 0.627868i
\(101\) 0.471291 2.67282i 0.0468952 0.265956i −0.952341 0.305036i \(-0.901332\pi\)
0.999236 + 0.0390800i \(0.0124427\pi\)
\(102\) 8.96838 1.81887i 0.888002 0.180095i
\(103\) 3.33939 9.17490i 0.329040 0.904029i −0.659316 0.751866i \(-0.729154\pi\)
0.988355 0.152163i \(-0.0486239\pi\)
\(104\) −6.70988 + 5.63026i −0.657958 + 0.552092i
\(105\) 2.56421 17.3936i 0.250241 1.69745i
\(106\) −3.44657 + 1.25445i −0.334761 + 0.121843i
\(107\) 12.2288 + 7.06029i 1.18220 + 0.682544i 0.956523 0.291658i \(-0.0942070\pi\)
0.225678 + 0.974202i \(0.427540\pi\)
\(108\) −2.76947 + 2.71149i −0.266493 + 0.260913i
\(109\) 2.48897 + 4.31103i 0.238400 + 0.412922i 0.960255 0.279123i \(-0.0900436\pi\)
−0.721855 + 0.692044i \(0.756710\pi\)
\(110\) −3.17294 + 17.9947i −0.302528 + 1.71572i
\(111\) 0.0331528 + 0.0264044i 0.00314672 + 0.00250619i
\(112\) −2.30094 12.8536i −0.217419 1.21455i
\(113\) 7.89136 1.39146i 0.742357 0.130898i 0.210336 0.977629i \(-0.432544\pi\)
0.532020 + 0.846732i \(0.321433\pi\)
\(114\) 6.16833 + 2.06813i 0.577717 + 0.193698i
\(115\) −8.64438 1.52424i −0.806092 0.142136i
\(116\) 0.777156i 0.0721571i
\(117\) −12.5486 1.55650i −1.16011 0.143898i
\(118\) 15.7168 9.07408i 1.44684 0.835336i
\(119\) −7.91927 + 2.90574i −0.725958 + 0.266369i
\(120\) −0.352972 13.8052i −0.0322218 1.26023i
\(121\) 2.09869 1.76101i 0.190790 0.160091i
\(122\) 2.19307 + 12.4375i 0.198551 + 1.12604i
\(123\) −2.88613 4.71627i −0.260234 0.425252i
\(124\) 4.16005 4.95775i 0.373583 0.445219i
\(125\) −9.05388 15.6818i −0.809804 1.40262i
\(126\) 7.90109 10.5150i 0.703885 0.936749i
\(127\) −3.39217 + 5.87541i −0.301006 + 0.521358i −0.976364 0.216132i \(-0.930656\pi\)
0.675358 + 0.737490i \(0.263989\pi\)
\(128\) −4.56825 12.5512i −0.403780 1.10938i
\(129\) −0.826362 + 0.730195i −0.0727571 + 0.0642900i
\(130\) −20.5274 + 17.2246i −1.80037 + 1.51069i
\(131\) 3.49094 + 19.7981i 0.305005 + 1.72977i 0.623482 + 0.781837i \(0.285717\pi\)
−0.318478 + 0.947930i \(0.603172\pi\)
\(132\) −2.31329 + 2.90453i −0.201346 + 0.252807i
\(133\) −5.90875 1.02602i −0.512353 0.0889675i
\(134\) 18.0137i 1.55615i
\(135\) 14.2450 13.9468i 1.22601 1.20035i
\(136\) −5.73808 + 3.31288i −0.492036 + 0.284077i
\(137\) 12.0468 14.3569i 1.02923 1.22659i 0.0556027 0.998453i \(-0.482292\pi\)
0.973629 0.228138i \(-0.0732636\pi\)
\(138\) −5.13650 4.09094i −0.437248 0.348244i
\(139\) 8.49230 + 10.1207i 0.720308 + 0.858429i 0.994661 0.103200i \(-0.0329081\pi\)
−0.274353 + 0.961629i \(0.588464\pi\)
\(140\) −1.33418 7.45304i −0.112759 0.629897i
\(141\) 17.6465 + 5.91654i 1.48610 + 0.498263i
\(142\) −6.98723 + 2.54314i −0.586355 + 0.213416i
\(143\) −12.1140 −1.01302
\(144\) 6.73821 13.1842i 0.561517 1.09868i
\(145\) 3.99736i 0.331963i
\(146\) −0.640372 + 3.63173i −0.0529976 + 0.300564i
\(147\) −5.73630 + 10.6815i −0.473122 + 0.880997i
\(148\) 0.0171514 + 0.00624259i 0.00140983 + 0.000513138i
\(149\) −8.49738 10.1268i −0.696132 0.829618i 0.295951 0.955203i \(-0.404364\pi\)
−0.992083 + 0.125585i \(0.959919\pi\)
\(150\) −0.713040 27.8878i −0.0582195 2.27703i
\(151\) 11.8035 4.29612i 0.960556 0.349614i 0.186304 0.982492i \(-0.440349\pi\)
0.774251 + 0.632878i \(0.218127\pi\)
\(152\) −4.71053 −0.382075
\(153\) −9.14358 2.80782i −0.739215 0.226999i
\(154\) 6.27188 10.9288i 0.505403 0.880668i
\(155\) −21.3975 + 25.5006i −1.71869 + 2.04825i
\(156\) −5.33679 + 1.08235i −0.427285 + 0.0866575i
\(157\) 11.6576 + 13.8930i 0.930376 + 1.10878i 0.993843 + 0.110794i \(0.0353395\pi\)
−0.0634678 + 0.997984i \(0.520216\pi\)
\(158\) 7.16872 19.6959i 0.570313 1.56692i
\(159\) 3.79125 + 0.568999i 0.300666 + 0.0451246i
\(160\) −5.27787 14.5008i −0.417252 1.14639i
\(161\) 5.25004 + 3.01292i 0.413761 + 0.237452i
\(162\) 14.3461 4.07536i 1.12713 0.320190i
\(163\) 2.93944 5.09126i 0.230235 0.398779i −0.727642 0.685957i \(-0.759384\pi\)
0.957877 + 0.287178i \(0.0927172\pi\)
\(164\) −1.82409 1.53059i −0.142438 0.119519i
\(165\) 11.8986 14.9397i 0.926305 1.16305i
\(166\) −7.23982 + 1.27657i −0.561919 + 0.0990814i
\(167\) −1.43991 8.16616i −0.111424 0.631916i −0.988459 0.151490i \(-0.951593\pi\)
0.877035 0.480427i \(-0.159518\pi\)
\(168\) −3.00382 + 9.03705i −0.231750 + 0.697223i
\(169\) −3.65055 3.06317i −0.280811 0.235629i
\(170\) −17.5544 + 10.1350i −1.34636 + 0.777322i
\(171\) −4.63154 4.97904i −0.354183 0.380756i
\(172\) −0.237449 + 0.411274i −0.0181053 + 0.0313594i
\(173\) −14.9572 12.5506i −1.13718 0.954205i −0.137834 0.990455i \(-0.544014\pi\)
−0.999343 + 0.0362507i \(0.988459\pi\)
\(174\) 1.42851 2.62712i 0.108295 0.199162i
\(175\) 4.53142 + 25.3135i 0.342543 + 1.91352i
\(176\) 4.85151 13.3294i 0.365696 1.00474i
\(177\) −18.9631 + 0.484850i −1.42535 + 0.0364435i
\(178\) −2.68165 7.36778i −0.200998 0.552239i
\(179\) 2.56681 + 1.48195i 0.191853 + 0.110766i 0.592850 0.805313i \(-0.298003\pi\)
−0.400997 + 0.916079i \(0.631336\pi\)
\(180\) 3.90708 7.64473i 0.291217 0.569805i
\(181\) 22.0624 + 12.7377i 1.63988 + 0.946787i 0.980872 + 0.194653i \(0.0623581\pi\)
0.659011 + 0.752134i \(0.270975\pi\)
\(182\) 17.3481 6.36538i 1.28593 0.471833i
\(183\) 4.19640 12.5160i 0.310207 0.925213i
\(184\) 4.46778 + 1.62614i 0.329369 + 0.119880i
\(185\) −0.0882194 0.0321092i −0.00648602 0.00236072i
\(186\) −23.1757 + 9.11263i −1.69933 + 0.668171i
\(187\) −9.02431 1.59123i −0.659923 0.116362i
\(188\) 8.01521 0.584569
\(189\) −12.5056 + 5.71047i −0.909650 + 0.415376i
\(190\) −14.4108 −1.04547
\(191\) −22.3269 3.93683i −1.61552 0.284859i −0.708423 0.705788i \(-0.750593\pi\)
−0.907094 + 0.420929i \(0.861704\pi\)
\(192\) −0.824137 + 5.49124i −0.0594770 + 0.396296i
\(193\) 14.0257 + 5.10496i 1.00960 + 0.367463i 0.793277 0.608860i \(-0.208373\pi\)
0.216318 + 0.976323i \(0.430595\pi\)
\(194\) 20.5827 + 7.49150i 1.47775 + 0.537859i
\(195\) 27.4502 5.56716i 1.96575 0.398673i
\(196\) −0.879902 + 5.14667i −0.0628501 + 0.367619i
\(197\) 16.5142 + 9.53447i 1.17659 + 0.679303i 0.955222 0.295889i \(-0.0956158\pi\)
0.221364 + 0.975191i \(0.428949\pi\)
\(198\) 13.1588 5.56642i 0.935157 0.395588i
\(199\) −5.02974 2.90392i −0.356549 0.205854i 0.311017 0.950404i \(-0.399330\pi\)
−0.667566 + 0.744551i \(0.732664\pi\)
\(200\) 6.90840 + 18.9807i 0.488498 + 1.34214i
\(201\) 8.99450 16.5414i 0.634423 1.16674i
\(202\) −1.53820 + 4.22617i −0.108227 + 0.297352i
\(203\) −0.936066 + 2.59280i −0.0656990 + 0.181979i
\(204\) −4.11781 + 0.105285i −0.288304 + 0.00737140i
\(205\) 9.38235 + 7.87273i 0.655292 + 0.549855i
\(206\) −8.08962 + 14.0116i −0.563631 + 0.976237i
\(207\) 2.67403 + 6.32131i 0.185858 + 0.439362i
\(208\) 18.0154 10.4012i 1.24914 0.721194i
\(209\) −4.99057 4.18759i −0.345205 0.289662i
\(210\) −9.18954 + 27.6469i −0.634138 + 1.90782i
\(211\) 0.180568 + 1.02405i 0.0124308 + 0.0704985i 0.990392 0.138288i \(-0.0441599\pi\)
−0.977961 + 0.208786i \(0.933049\pi\)
\(212\) 1.62590 0.286690i 0.111667 0.0196900i
\(213\) 7.68600 + 1.15353i 0.526636 + 0.0790387i
\(214\) −17.9246 15.0405i −1.22530 1.02815i
\(215\) 1.22134 2.11542i 0.0832946 0.144271i
\(216\) −8.91046 + 6.09972i −0.606280 + 0.415034i
\(217\) 19.8505 11.5297i 1.34754 0.782685i
\(218\) −2.82127 7.75138i −0.191081 0.524990i
\(219\) 2.40141 3.01516i 0.162272 0.203746i
\(220\) 2.81310 7.72893i 0.189659 0.521084i
\(221\) −8.63811 10.2945i −0.581062 0.692483i
\(222\) −0.0465043 0.0526290i −0.00312117 0.00353223i
\(223\) 4.95104 5.90042i 0.331546 0.395122i −0.574358 0.818604i \(-0.694748\pi\)
0.905904 + 0.423483i \(0.139193\pi\)
\(224\) 0.0276935 + 10.6415i 0.00185035 + 0.711018i
\(225\) −13.2700 + 25.9646i −0.884669 + 1.73097i
\(226\) −13.2783 −0.883261
\(227\) 3.04716 1.10908i 0.202247 0.0736119i −0.238910 0.971042i \(-0.576790\pi\)
0.441158 + 0.897430i \(0.354568\pi\)
\(228\) −2.57273 1.39894i −0.170383 0.0926469i
\(229\) −14.0510 16.7453i −0.928514 1.10656i −0.994073 0.108711i \(-0.965328\pi\)
0.0655597 0.997849i \(-0.479117\pi\)
\(230\) 13.6682 + 4.97481i 0.901254 + 0.328030i
\(231\) −11.2162 + 6.90395i −0.737971 + 0.454247i
\(232\) −0.375982 + 2.13230i −0.0246844 + 0.139992i
\(233\) 9.31495i 0.610243i −0.952313 0.305121i \(-0.901303\pi\)
0.952313 0.305121i \(-0.0986970\pi\)
\(234\) 20.0302 + 6.15089i 1.30941 + 0.402096i
\(235\) −41.2268 −2.68934
\(236\) −7.67644 + 2.79399i −0.499693 + 0.181874i
\(237\) −16.4173 + 14.5067i −1.06642 + 0.942312i
\(238\) 13.7596 2.46313i 0.891902 0.159661i
\(239\) −3.92573 4.67850i −0.253934 0.302627i 0.623984 0.781437i \(-0.285513\pi\)
−0.877919 + 0.478810i \(0.841068\pi\)
\(240\) −4.86775 + 32.4339i −0.314212 + 2.09360i
\(241\) 0.213906 0.254923i 0.0137789 0.0164210i −0.759111 0.650961i \(-0.774366\pi\)
0.772890 + 0.634540i \(0.218810\pi\)
\(242\) −3.93158 + 2.26990i −0.252731 + 0.145915i
\(243\) −15.2085 3.42092i −0.975623 0.219452i
\(244\) 5.68492i 0.363939i
\(245\) 4.52584 26.4723i 0.289145 1.69125i
\(246\) 3.35279 + 8.52698i 0.213766 + 0.543660i
\(247\) −1.65903 9.40885i −0.105562 0.598671i
\(248\) 13.8125 11.5901i 0.877096 0.735971i
\(249\) 7.28552 + 2.44270i 0.461701 + 0.154800i
\(250\) 10.2626 + 28.1964i 0.649067 + 1.78330i
\(251\) 6.85299 11.8697i 0.432557 0.749210i −0.564536 0.825409i \(-0.690945\pi\)
0.997093 + 0.0761982i \(0.0242782\pi\)
\(252\) −4.32442 + 4.04365i −0.272413 + 0.254726i
\(253\) 3.28778 + 5.69460i 0.206701 + 0.358016i
\(254\) 7.22633 8.61200i 0.453420 0.540365i
\(255\) 21.1803 0.541540i 1.32636 0.0339125i
\(256\) 2.72997 + 15.4824i 0.170623 + 0.967652i
\(257\) 0.0315889 0.0265062i 0.00197046 0.00165341i −0.641802 0.766871i \(-0.721813\pi\)
0.643772 + 0.765217i \(0.277368\pi\)
\(258\) 1.55866 0.953822i 0.0970376 0.0593824i
\(259\) 0.0497024 + 0.0414853i 0.00308836 + 0.00257777i
\(260\) 10.4461 6.03104i 0.647837 0.374029i
\(261\) −2.62352 + 1.69913i −0.162392 + 0.105174i
\(262\) 33.3131i 2.05809i
\(263\) 13.7378 + 2.42234i 0.847109 + 0.149368i 0.580322 0.814387i \(-0.302927\pi\)
0.266787 + 0.963755i \(0.414038\pi\)
\(264\) −7.75222 + 6.85006i −0.477116 + 0.421592i
\(265\) −8.36295 + 1.47461i −0.513732 + 0.0905848i
\(266\) 9.34726 + 3.37460i 0.573117 + 0.206910i
\(267\) −1.21636 + 8.10461i −0.0744399 + 0.495994i
\(268\) 1.40804 7.98538i 0.0860096 0.487785i
\(269\) −11.2526 19.4900i −0.686081 1.18833i −0.973096 0.230401i \(-0.925996\pi\)
0.287015 0.957926i \(-0.407337\pi\)
\(270\) −27.2596 + 18.6608i −1.65897 + 1.13566i
\(271\) 5.53035 + 3.19295i 0.335945 + 0.193958i 0.658477 0.752601i \(-0.271201\pi\)
−0.322533 + 0.946558i \(0.604534\pi\)
\(272\) 14.7868 5.38196i 0.896582 0.326329i
\(273\) −19.1086 2.81703i −1.15651 0.170495i
\(274\) −23.7905 + 19.9626i −1.43723 + 1.20598i
\(275\) −9.55442 + 26.2506i −0.576153 + 1.58297i
\(276\) 1.95722 + 2.21499i 0.117811 + 0.133326i
\(277\) 1.08917 6.17699i 0.0654418 0.371139i −0.934445 0.356107i \(-0.884104\pi\)
0.999887 0.0150321i \(-0.00478504\pi\)
\(278\) −10.9464 18.9597i −0.656521 1.13713i
\(279\) 25.8316 + 3.20411i 1.54650 + 0.191825i
\(280\) −0.0548963 21.0945i −0.00328068 1.26064i
\(281\) −6.25888 1.10361i −0.373373 0.0658358i −0.0161870 0.999869i \(-0.505153\pi\)
−0.357186 + 0.934033i \(0.616264\pi\)
\(282\) −27.0948 14.7330i −1.61347 0.877335i
\(283\) −0.572909 + 0.101019i −0.0340559 + 0.00600498i −0.190650 0.981658i \(-0.561060\pi\)
0.156594 + 0.987663i \(0.449949\pi\)
\(284\) 3.29619 0.581207i 0.195593 0.0344883i
\(285\) 13.2331 + 7.19554i 0.783858 + 0.426227i
\(286\) 19.7689 + 3.48579i 1.16896 + 0.206119i
\(287\) −4.24208 7.30354i −0.250402 0.431114i
\(288\) −7.27365 + 9.62770i −0.428604 + 0.567318i
\(289\) 3.41728 + 5.91890i 0.201016 + 0.348170i
\(290\) −1.15023 + 6.52331i −0.0675441 + 0.383062i
\(291\) −15.1599 17.1565i −0.888689 1.00573i
\(292\) 0.567747 1.55987i 0.0332249 0.0912847i
\(293\) −7.63328 + 6.40508i −0.445941 + 0.374189i −0.837927 0.545782i \(-0.816233\pi\)
0.391986 + 0.919971i \(0.371788\pi\)
\(294\) 12.4347 15.7806i 0.725205 0.920343i
\(295\) 39.4843 14.3711i 2.29887 0.836719i
\(296\) 0.0440385 + 0.0254256i 0.00255968 + 0.00147783i
\(297\) −14.8627 1.45891i −0.862424 0.0846544i
\(298\) 10.9529 + 18.9710i 0.634486 + 1.09896i
\(299\) −1.67452 + 9.49669i −0.0968401 + 0.549208i
\(300\) −1.86376 + 12.4183i −0.107604 + 0.716969i
\(301\) −1.28756 + 1.08612i −0.0742139 + 0.0626027i
\(302\) −20.4984 + 3.61442i −1.17955 + 0.207986i
\(303\) 3.52267 3.11272i 0.202372 0.178821i
\(304\) 11.0173 + 1.94264i 0.631884 + 0.111418i
\(305\) 29.2408i 1.67432i
\(306\) 14.1135 + 7.21315i 0.806815 + 0.412348i
\(307\) 1.93850 1.11920i 0.110636 0.0638759i −0.443661 0.896195i \(-0.646320\pi\)
0.554297 + 0.832319i \(0.312987\pi\)
\(308\) −3.63454 + 4.35444i −0.207097 + 0.248117i
\(309\) 14.4247 8.82721i 0.820591 0.502162i
\(310\) 42.2564 35.4573i 2.40000 2.01384i
\(311\) 0.646712 + 3.66769i 0.0366717 + 0.207976i 0.997638 0.0686896i \(-0.0218818\pi\)
−0.960966 + 0.276665i \(0.910771\pi\)
\(312\) −15.1663 + 0.387774i −0.858623 + 0.0219534i
\(313\) −9.35374 + 11.1474i −0.528705 + 0.630086i −0.962616 0.270870i \(-0.912689\pi\)
0.433911 + 0.900956i \(0.357133\pi\)
\(314\) −15.0263 26.0264i −0.847986 1.46875i
\(315\) 22.2430 20.7988i 1.25325 1.17188i
\(316\) −4.71738 + 8.17075i −0.265374 + 0.459641i
\(317\) −0.419059 1.15136i −0.0235367 0.0646666i 0.927368 0.374151i \(-0.122066\pi\)
−0.950905 + 0.309484i \(0.899844\pi\)
\(318\) −6.02322 2.01948i −0.337765 0.113247i
\(319\) −2.29391 + 1.92482i −0.128435 + 0.107769i
\(320\) −2.13583 12.1129i −0.119396 0.677131i
\(321\) 8.94967 + 22.7613i 0.499522 + 1.27041i
\(322\) −7.70060 6.42749i −0.429138 0.358190i
\(323\) 7.22704i 0.402123i
\(324\) −6.67809 + 0.685227i −0.371005 + 0.0380681i
\(325\) −35.4790 + 20.4838i −1.96802 + 1.13624i
\(326\) −6.26189 + 7.46263i −0.346814 + 0.413317i
\(327\) −1.27969 + 8.52656i −0.0707668 + 0.471520i
\(328\) −4.26431 5.08200i −0.235457 0.280607i
\(329\) 26.7408 + 9.65413i 1.47427 + 0.532249i
\(330\) −23.7162 + 20.9563i −1.30554 + 1.15360i
\(331\) −19.2551 + 7.00827i −1.05835 + 0.385210i −0.811810 0.583922i \(-0.801517\pi\)
−0.246545 + 0.969131i \(0.579295\pi\)
\(332\) 3.30916 0.181614
\(333\) 0.0164251 + 0.0715480i 0.000900091 + 0.00392080i
\(334\) 13.7407i 0.751858i
\(335\) −7.24235 + 41.0734i −0.395692 + 2.24408i
\(336\) 10.7524 19.8976i 0.586593 1.08550i
\(337\) 18.8694 + 6.86790i 1.02788 + 0.374119i 0.800274 0.599634i \(-0.204687\pi\)
0.227608 + 0.973753i \(0.426909\pi\)
\(338\) 5.07591 + 6.04924i 0.276093 + 0.329035i
\(339\) 12.1931 + 6.63006i 0.662238 + 0.360095i
\(340\) 8.57399 3.12068i 0.464990 0.169242i
\(341\) 24.9371 1.35042
\(342\) 6.12552 + 9.45802i 0.331230 + 0.511431i
\(343\) −9.13463 + 16.1108i −0.493224 + 0.869903i
\(344\) −0.850466 + 1.01355i −0.0458540 + 0.0546467i
\(345\) −10.0671 11.3929i −0.541994 0.613376i
\(346\) 20.7973 + 24.7853i 1.11807 + 1.33247i
\(347\) −0.215717 + 0.592678i −0.0115803 + 0.0318166i −0.945348 0.326063i \(-0.894278\pi\)
0.933768 + 0.357879i \(0.116500\pi\)
\(348\) −0.838601 + 1.05293i −0.0449537 + 0.0564430i
\(349\) −0.582328 1.59993i −0.0311713 0.0856425i 0.923131 0.384486i \(-0.125621\pi\)
−0.954302 + 0.298844i \(0.903399\pi\)
\(350\) −0.110896 42.6132i −0.00592765 2.27777i
\(351\) −15.3219 15.6495i −0.817821 0.835310i
\(352\) −5.77999 + 10.0112i −0.308074 + 0.533600i
\(353\) 18.3149 + 15.3681i 0.974806 + 0.817960i 0.983298 0.182004i \(-0.0582585\pi\)
−0.00849145 + 0.999964i \(0.502703\pi\)
\(354\) 31.0854 + 4.66536i 1.65217 + 0.247961i
\(355\) −16.9542 + 2.98948i −0.899836 + 0.158665i
\(356\) 0.612862 + 3.47571i 0.0324816 + 0.184212i
\(357\) −13.8649 4.60855i −0.733809 0.243910i
\(358\) −3.76236 3.15700i −0.198847 0.166852i
\(359\) −10.8355 + 6.25585i −0.571873 + 0.330171i −0.757897 0.652374i \(-0.773773\pi\)
0.186024 + 0.982545i \(0.440440\pi\)
\(360\) 14.4184 19.0848i 0.759917 1.00586i
\(361\) −6.93100 + 12.0048i −0.364789 + 0.631834i
\(362\) −32.3384 27.1351i −1.69967 1.42619i
\(363\) 4.74364 0.121286i 0.248977 0.00636587i
\(364\) −8.18789 + 1.46573i −0.429162 + 0.0768250i
\(365\) −2.92025 + 8.02333i −0.152853 + 0.419960i
\(366\) −10.4496 + 19.2175i −0.546209 + 1.00451i
\(367\) −4.50874 12.3877i −0.235354 0.646630i −0.999998 0.00217674i \(-0.999307\pi\)
0.764643 0.644454i \(-0.222915\pi\)
\(368\) −9.77888 5.64584i −0.509759 0.294310i
\(369\) 1.17888 9.50416i 0.0613700 0.494767i
\(370\) 0.134726 + 0.0777842i 0.00700408 + 0.00404381i
\(371\) 5.76975 + 1.00189i 0.299550 + 0.0520154i
\(372\) 10.9860 2.22806i 0.569596 0.115519i
\(373\) 10.5249 + 3.83075i 0.544959 + 0.198349i 0.599805 0.800146i \(-0.295245\pi\)
−0.0548464 + 0.998495i \(0.517467\pi\)
\(374\) 14.2689 + 5.19347i 0.737829 + 0.268548i
\(375\) 4.65498 31.0162i 0.240382 1.60167i
\(376\) 21.9915 + 3.87769i 1.13412 + 0.199977i
\(377\) −4.39149 −0.226173
\(378\) 22.0511 5.72047i 1.13419 0.294229i
\(379\) −6.24758 −0.320917 −0.160458 0.987043i \(-0.551297\pi\)
−0.160458 + 0.987043i \(0.551297\pi\)
\(380\) 6.38826 + 1.12642i 0.327711 + 0.0577842i
\(381\) −10.9358 + 4.29994i −0.560259 + 0.220292i
\(382\) 35.3025 + 12.8491i 1.80623 + 0.657415i
\(383\) −13.4741 4.90417i −0.688494 0.250591i −0.0260038 0.999662i \(-0.508278\pi\)
−0.662490 + 0.749070i \(0.730500\pi\)
\(384\) 7.35420 21.9344i 0.375293 1.11933i
\(385\) 18.6946 22.3974i 0.952763 1.14148i
\(386\) −21.4197 12.3667i −1.09023 0.629447i
\(387\) −1.90752 + 0.0976075i −0.0969649 + 0.00496167i
\(388\) −8.53865 4.92979i −0.433484 0.250272i
\(389\) −2.95313 8.11366i −0.149730 0.411379i 0.842040 0.539415i \(-0.181355\pi\)
−0.991769 + 0.128037i \(0.959133\pi\)
\(390\) −46.3980 + 1.18631i −2.34945 + 0.0600712i
\(391\) −2.49487 + 6.85459i −0.126171 + 0.346652i
\(392\) −4.90412 + 13.6953i −0.247696 + 0.691719i
\(393\) −16.6337 + 30.5904i −0.839059 + 1.54308i
\(394\) −24.2060 20.3113i −1.21948 1.02327i
\(395\) 24.2642 42.0269i 1.22087 2.11460i
\(396\) −6.26834 + 1.43901i −0.314996 + 0.0723130i
\(397\) 0.00629478 0.00363429i 0.000315926 0.000182400i −0.499842 0.866117i \(-0.666609\pi\)
0.500158 + 0.865934i \(0.333275\pi\)
\(398\) 7.37245 + 6.18622i 0.369548 + 0.310087i
\(399\) −6.89833 7.76602i −0.345348 0.388787i
\(400\) −8.33008 47.2422i −0.416504 2.36211i
\(401\) 14.9200 2.63081i 0.745071 0.131376i 0.211791 0.977315i \(-0.432070\pi\)
0.533280 + 0.845939i \(0.320959\pi\)
\(402\) −19.4379 + 24.4059i −0.969475 + 1.21725i
\(403\) 28.0148 + 23.5072i 1.39552 + 1.17098i
\(404\) 1.01222 1.75321i 0.0503596 0.0872254i
\(405\) 34.3493 3.52452i 1.70683 0.175135i
\(406\) 2.27364 3.96184i 0.112839 0.196623i
\(407\) 0.0240536 + 0.0660867i 0.00119229 + 0.00327580i
\(408\) −11.3491 1.70329i −0.561862 0.0843255i
\(409\) 3.50114 9.61931i 0.173120 0.475644i −0.822540 0.568708i \(-0.807444\pi\)
0.995660 + 0.0930631i \(0.0296658\pi\)
\(410\) −13.0457 15.5473i −0.644282 0.767826i
\(411\) 31.8137 6.45211i 1.56925 0.318259i
\(412\) 4.68131 5.57897i 0.230631 0.274856i
\(413\) −28.9759 + 0.0754068i −1.42581 + 0.00371052i
\(414\) −2.54481 11.0852i −0.125071 0.544809i
\(415\) −17.0209 −0.835524
\(416\) −15.9306 + 5.79825i −0.781060 + 0.284283i
\(417\) 0.584892 + 22.8758i 0.0286423 + 1.12023i
\(418\) 6.93916 + 8.26977i 0.339405 + 0.404488i
\(419\) −37.4662 13.6366i −1.83034 0.666190i −0.992795 0.119827i \(-0.961766\pi\)
−0.837548 0.546363i \(-0.816012\pi\)
\(420\) 6.23469 11.5374i 0.304222 0.562969i
\(421\) 3.81518 21.6370i 0.185940 1.05452i −0.738801 0.673924i \(-0.764608\pi\)
0.924741 0.380597i \(-0.124281\pi\)
\(422\) 1.72311i 0.0838795i
\(423\) 17.5240 + 27.0577i 0.852046 + 1.31559i
\(424\) 4.59972 0.223382
\(425\) −29.1207 + 10.5991i −1.41256 + 0.514131i
\(426\) −12.2109 4.09409i −0.591619 0.198359i
\(427\) 6.84735 18.9664i 0.331367 0.917847i
\(428\) 6.77024 + 8.06846i 0.327252 + 0.390004i
\(429\) −16.4127 13.0718i −0.792411 0.631111i
\(430\) −2.60182 + 3.10072i −0.125471 + 0.149530i
\(431\) 5.61933 3.24432i 0.270673 0.156273i −0.358520 0.933522i \(-0.616719\pi\)
0.629194 + 0.777249i \(0.283385\pi\)
\(432\) 23.3559 10.5917i 1.12371 0.509593i
\(433\) 1.48559i 0.0713927i −0.999363 0.0356963i \(-0.988635\pi\)
0.999363 0.0356963i \(-0.0113649\pi\)
\(434\) −35.7117 + 13.1034i −1.71422 + 0.628981i
\(435\) 4.31341 5.41583i 0.206812 0.259669i
\(436\) 0.644770 + 3.65667i 0.0308789 + 0.175123i
\(437\) −3.97268 + 3.33348i −0.190039 + 0.159462i
\(438\) −4.78648 + 4.22945i −0.228707 + 0.202091i
\(439\) 4.31238 + 11.8482i 0.205819 + 0.565483i 0.999056 0.0434295i \(-0.0138284\pi\)
−0.793238 + 0.608912i \(0.791606\pi\)
\(440\) 11.4576 19.8451i 0.546217 0.946076i
\(441\) −19.2979 + 8.28203i −0.918946 + 0.394382i
\(442\) 11.1343 + 19.2852i 0.529606 + 0.917305i
\(443\) −0.999759 + 1.19147i −0.0475000 + 0.0566083i −0.789271 0.614045i \(-0.789542\pi\)
0.741771 + 0.670653i \(0.233986\pi\)
\(444\) 0.0165014 + 0.0269652i 0.000783122 + 0.00127971i
\(445\) −3.15230 17.8776i −0.149434 0.847480i
\(446\) −9.77746 + 8.20426i −0.462976 + 0.388483i
\(447\) −0.585241 22.8895i −0.0276810 1.08264i
\(448\) −1.45113 + 8.35689i −0.0685595 + 0.394826i
\(449\) −3.71332 + 2.14388i −0.175242 + 0.101176i −0.585055 0.810993i \(-0.698927\pi\)
0.409813 + 0.912169i \(0.365594\pi\)
\(450\) 29.1267 38.5533i 1.37305 1.81742i
\(451\) 9.17503i 0.432035i
\(452\) 5.88622 + 1.03790i 0.276864 + 0.0488186i
\(453\) 20.6278 + 6.91612i 0.969178 + 0.324948i
\(454\) −5.29180 + 0.933088i −0.248357 + 0.0437920i
\(455\) 42.1151 7.53908i 1.97438 0.353438i
\(456\) −6.38207 5.08296i −0.298868 0.238032i
\(457\) 2.62834 14.9061i 0.122949 0.697277i −0.859556 0.511041i \(-0.829260\pi\)
0.982505 0.186236i \(-0.0596288\pi\)
\(458\) 18.1114 + 31.3698i 0.846289 + 1.46582i
\(459\) −9.35837 13.6707i −0.436812 0.638093i
\(460\) −5.67019 3.27368i −0.264374 0.152636i
\(461\) −6.54769 + 2.38316i −0.304956 + 0.110995i −0.489966 0.871742i \(-0.662991\pi\)
0.185009 + 0.982737i \(0.440768\pi\)
\(462\) 20.2903 8.03914i 0.943992 0.374015i
\(463\) −30.9400 + 25.9617i −1.43790 + 1.20654i −0.497051 + 0.867721i \(0.665584\pi\)
−0.940851 + 0.338822i \(0.889972\pi\)
\(464\) 1.75874 4.83209i 0.0816473 0.224324i
\(465\) −56.5072 + 11.4602i −2.62046 + 0.531454i
\(466\) −2.68036 + 15.2011i −0.124165 + 0.704177i
\(467\) 4.21489 + 7.30040i 0.195042 + 0.337822i 0.946914 0.321486i \(-0.104182\pi\)
−0.751872 + 0.659309i \(0.770849\pi\)
\(468\) −8.39848 4.29231i −0.388220 0.198412i
\(469\) 14.3158 24.9454i 0.661042 1.15187i
\(470\) 67.2782 + 11.8630i 3.10331 + 0.547197i
\(471\) 0.802894 + 31.4021i 0.0369954 + 1.44693i
\(472\) −22.4137 + 3.95214i −1.03167 + 0.181912i
\(473\) −1.80205 + 0.317751i −0.0828585 + 0.0146102i
\(474\) 30.9657 18.9495i 1.42230 0.870379i
\(475\) −21.6971 3.82578i −0.995531 0.175539i
\(476\) −6.29209 + 0.0163745i −0.288398 + 0.000750525i
\(477\) 4.52259 + 4.86191i 0.207075 + 0.222611i
\(478\) 5.06018 + 8.76448i 0.231447 + 0.400878i
\(479\) 3.99718 22.6691i 0.182636 1.03578i −0.746320 0.665588i \(-0.768181\pi\)
0.928956 0.370191i \(-0.120708\pi\)
\(480\) 8.49659 25.3416i 0.387814 1.15668i
\(481\) −0.0352751 + 0.0969176i −0.00160841 + 0.00441906i
\(482\) −0.422427 + 0.354458i −0.0192410 + 0.0161451i
\(483\) 3.86189 + 9.74720i 0.175722 + 0.443513i
\(484\) 1.92028 0.698923i 0.0872852 0.0317692i
\(485\) 43.9192 + 25.3568i 1.99427 + 1.15139i
\(486\) 23.8344 + 9.95883i 1.08115 + 0.451742i
\(487\) −13.2168 22.8922i −0.598912 1.03735i −0.992982 0.118265i \(-0.962267\pi\)
0.394070 0.919080i \(-0.371067\pi\)
\(488\) 2.75032 15.5978i 0.124501 0.706080i
\(489\) 9.47631 3.72606i 0.428533 0.168498i
\(490\) −15.0031 + 41.8979i −0.677771 + 1.89275i
\(491\) −12.8648 + 2.26841i −0.580580 + 0.102372i −0.456223 0.889866i \(-0.650798\pi\)
−0.124357 + 0.992238i \(0.539687\pi\)
\(492\) −0.819763 4.04204i −0.0369578 0.182229i
\(493\) −3.27144 0.576843i −0.147338 0.0259797i
\(494\) 15.8317i 0.712303i
\(495\) 32.2417 7.40166i 1.44916 0.332680i
\(496\) −37.0854 + 21.4112i −1.66518 + 0.961393i
\(497\) 11.6970 + 2.03113i 0.524682 + 0.0911084i
\(498\) −11.1864 6.08265i −0.501274 0.272570i
\(499\) 19.8121 16.6244i 0.886913 0.744208i −0.0806756 0.996740i \(-0.525708\pi\)
0.967589 + 0.252532i \(0.0812633\pi\)
\(500\) −2.34541 13.3015i −0.104890 0.594861i
\(501\) 6.86093 12.6177i 0.306524 0.563717i
\(502\) −14.5989 + 17.3983i −0.651581 + 0.776524i
\(503\) 11.7401 + 20.3345i 0.523467 + 0.906672i 0.999627 + 0.0273131i \(0.00869510\pi\)
−0.476160 + 0.879359i \(0.657972\pi\)
\(504\) −13.8213 + 9.00254i −0.615649 + 0.401005i
\(505\) −5.20641 + 9.01776i −0.231682 + 0.401285i
\(506\) −3.72672 10.2391i −0.165673 0.455183i
\(507\) −1.64059 8.08931i −0.0728611 0.359259i
\(508\) −3.87655 + 3.25281i −0.171994 + 0.144320i
\(509\) 4.92895 + 27.9535i 0.218472 + 1.23902i 0.874779 + 0.484522i \(0.161007\pi\)
−0.656307 + 0.754494i \(0.727882\pi\)
\(510\) −34.7200 5.21085i −1.53743 0.230740i
\(511\) 3.77299 4.52031i 0.166907 0.199967i
\(512\) 0.661943i 0.0292540i
\(513\) −0.902358 11.7436i −0.0398401 0.518492i
\(514\) −0.0591771 + 0.0341659i −0.00261019 + 0.00150699i
\(515\) −24.0787 + 28.6958i −1.06103 + 1.26449i
\(516\) −0.765500 + 0.300993i −0.0336992 + 0.0132505i
\(517\) 19.8517 + 23.6583i 0.873076 + 1.04049i
\(518\) −0.0691722 0.0820018i −0.00303925 0.00360295i
\(519\) −6.72192 33.1440i −0.295059 1.45486i
\(520\) 31.5789 11.4938i 1.38482 0.504035i
\(521\) −15.0773 −0.660549 −0.330275 0.943885i \(-0.607141\pi\)
−0.330275 + 0.943885i \(0.607141\pi\)
\(522\) 4.77025 2.01790i 0.208788 0.0883213i
\(523\) 4.77566i 0.208825i −0.994534 0.104412i \(-0.966704\pi\)
0.994534 0.104412i \(-0.0332962\pi\)
\(524\) −2.60391 + 14.7675i −0.113752 + 0.645122i
\(525\) −21.1755 + 39.1858i −0.924176 + 1.71021i
\(526\) −21.7217 7.90606i −0.947112 0.344721i
\(527\) 17.7818 + 21.1916i 0.774590 + 0.923120i
\(528\) 20.9564 12.8243i 0.912008 0.558105i
\(529\) −16.6942 + 6.07620i −0.725836 + 0.264183i
\(530\) 14.0718 0.611242
\(531\) −26.2153 19.8054i −1.13765 0.859483i
\(532\) −3.87982 2.22657i −0.168212 0.0965342i
\(533\) 8.64896 10.3074i 0.374628 0.446464i
\(534\) 4.31707 12.8759i 0.186818 0.557196i
\(535\) −34.8233 41.5008i −1.50554 1.79423i
\(536\) 7.72653 21.2285i 0.333735 0.916930i
\(537\) 1.87853 + 4.77758i 0.0810646 + 0.206168i
\(538\) 12.7549 + 35.0437i 0.549902 + 1.51084i
\(539\) −17.3706 + 10.1498i −0.748206 + 0.437185i
\(540\) 13.5427 6.14149i 0.582784 0.264287i
\(541\) −10.3759 + 17.9716i −0.446094 + 0.772657i −0.998128 0.0611643i \(-0.980519\pi\)
0.552034 + 0.833822i \(0.313852\pi\)
\(542\) −8.10622 6.80193i −0.348192 0.292168i
\(543\) 16.1464 + 41.0644i 0.692909 + 1.76224i
\(544\) −12.6291 + 2.22685i −0.541468 + 0.0954753i
\(545\) −3.31642 18.8084i −0.142060 0.805662i
\(546\) 30.3728 + 10.0956i 1.29984 + 0.432052i
\(547\) −9.38962 7.87883i −0.401471 0.336874i 0.419591 0.907713i \(-0.362174\pi\)
−0.821062 + 0.570839i \(0.806618\pi\)
\(548\) 12.1066 6.98973i 0.517167 0.298586i
\(549\) 19.1911 12.4292i 0.819057 0.530465i
\(550\) 23.1454 40.0891i 0.986925 1.70940i
\(551\) −1.80915 1.51806i −0.0770724 0.0646714i
\(552\) 4.29847 + 7.02419i 0.182955 + 0.298969i
\(553\) −25.5799 + 21.5778i −1.08777 + 0.917581i
\(554\) −3.55484 + 9.76683i −0.151031 + 0.414953i
\(555\) −0.0848762 0.138698i −0.00360280 0.00588738i
\(556\) 3.37050 + 9.26036i 0.142941 + 0.392727i
\(557\) −18.6030 10.7404i −0.788233 0.455086i 0.0511072 0.998693i \(-0.483725\pi\)
−0.839340 + 0.543607i \(0.817058\pi\)
\(558\) −41.2328 12.6618i −1.74552 0.536017i
\(559\) −2.32400 1.34176i −0.0982945 0.0567504i
\(560\) −8.57108 + 49.3598i −0.362194 + 2.08583i
\(561\) −10.5096 11.8937i −0.443714 0.502152i
\(562\) 9.89631 + 3.60196i 0.417451 + 0.151940i
\(563\) −15.1623 5.51864i −0.639016 0.232583i 0.00213467 0.999998i \(-0.499321\pi\)
−0.641151 + 0.767415i \(0.721543\pi\)
\(564\) 10.8594 + 8.64892i 0.457264 + 0.364185i
\(565\) −30.2762 5.33851i −1.27373 0.224593i
\(566\) 0.964001 0.0405200
\(567\) −23.1052 5.75752i −0.970328 0.241793i
\(568\) 9.32501 0.391269
\(569\) 26.1637 + 4.61337i 1.09684 + 0.193403i 0.692651 0.721272i \(-0.256442\pi\)
0.404190 + 0.914675i \(0.367554\pi\)
\(570\) −19.5246 15.5502i −0.817794 0.651327i
\(571\) −27.8574 10.1393i −1.16580 0.424315i −0.314631 0.949214i \(-0.601881\pi\)
−0.851164 + 0.524899i \(0.824103\pi\)
\(572\) −8.49098 3.09046i −0.355026 0.129219i
\(573\) −26.0015 29.4260i −1.08623 1.22929i
\(574\) 4.82108 + 13.1393i 0.201228 + 0.548424i
\(575\) 19.2582 + 11.1187i 0.803124 + 0.463684i
\(576\) −7.04198 + 6.55051i −0.293416 + 0.272938i
\(577\) 31.4355 + 18.1493i 1.30868 + 0.755564i 0.981875 0.189529i \(-0.0606962\pi\)
0.326800 + 0.945093i \(0.394029\pi\)
\(578\) −3.87351 10.6424i −0.161117 0.442665i
\(579\) 13.4942 + 22.0511i 0.560801 + 0.916414i
\(580\) 1.01979 2.80184i 0.0423443 0.116340i
\(581\) 11.0402 + 3.98581i 0.458026 + 0.165359i
\(582\) 19.8027 + 32.3600i 0.820850 + 1.34136i
\(583\) 4.87317 + 4.08908i 0.201826 + 0.169352i
\(584\) 2.31240 4.00519i 0.0956876 0.165736i
\(585\) 43.1983 + 22.0778i 1.78603 + 0.912806i
\(586\) 14.2998 8.25601i 0.590720 0.341053i
\(587\) 27.4601 + 23.0418i 1.13340 + 0.951035i 0.999203 0.0399198i \(-0.0127102\pi\)
0.134196 + 0.990955i \(0.457155\pi\)
\(588\) −6.74572 + 6.02350i −0.278189 + 0.248405i
\(589\) 3.41518 + 19.3684i 0.140720 + 0.798063i
\(590\) −68.5699 + 12.0907i −2.82298 + 0.497767i
\(591\) 12.0860 + 30.7376i 0.497150 + 1.26438i
\(592\) −0.0925142 0.0776286i −0.00380231 0.00319052i
\(593\) 9.90996 17.1646i 0.406953 0.704864i −0.587593 0.809156i \(-0.699924\pi\)
0.994547 + 0.104293i \(0.0332578\pi\)
\(594\) 23.8348 + 6.65753i 0.977952 + 0.273162i
\(595\) 32.3639 0.0842236i 1.32679 0.00345283i
\(596\) −3.37251 9.26590i −0.138143 0.379546i
\(597\) −3.68103 9.36179i −0.150655 0.383153i
\(598\) 5.46532 15.0158i 0.223493 0.614043i
\(599\) 11.8996 + 14.1814i 0.486205 + 0.579436i 0.952248 0.305326i \(-0.0987654\pi\)
−0.466043 + 0.884762i \(0.654321\pi\)
\(600\) −11.1215 + 33.1706i −0.454034 + 1.35418i
\(601\) 27.1016 32.2984i 1.10550 1.31748i 0.161741 0.986833i \(-0.448289\pi\)
0.943755 0.330646i \(-0.107266\pi\)
\(602\) 2.41371 1.40194i 0.0983754 0.0571389i
\(603\) 30.0355 12.7056i 1.22314 0.517410i
\(604\) 9.36935 0.381234
\(605\) −9.87708 + 3.59496i −0.401561 + 0.146156i
\(606\) −6.64434 + 4.06602i −0.269908 + 0.165171i
\(607\) 26.4848 + 31.5633i 1.07498 + 1.28111i 0.957623 + 0.288025i \(0.0929988\pi\)
0.117360 + 0.993089i \(0.462557\pi\)
\(608\) −8.56722 3.11821i −0.347447 0.126460i
\(609\) −4.06602 + 2.50278i −0.164764 + 0.101418i
\(610\) 8.41400 47.7182i 0.340673 1.93205i
\(611\) 45.2917i 1.83231i
\(612\) −5.69263 4.30073i −0.230111 0.173847i
\(613\) −33.7892 −1.36473 −0.682366 0.731011i \(-0.739049\pi\)
−0.682366 + 0.731011i \(0.739049\pi\)
\(614\) −3.48550 + 1.26862i −0.140663 + 0.0511972i
\(615\) 4.21652 + 20.7905i 0.170026 + 0.838355i
\(616\) −12.0788 + 10.1890i −0.486669 + 0.410527i
\(617\) 12.0622 + 14.3752i 0.485607 + 0.578724i 0.952095 0.305803i \(-0.0989251\pi\)
−0.466487 + 0.884528i \(0.654481\pi\)
\(618\) −26.0797 + 10.2545i −1.04908 + 0.412495i
\(619\) −9.30674 + 11.0913i −0.374069 + 0.445798i −0.919933 0.392076i \(-0.871757\pi\)
0.545864 + 0.837874i \(0.316202\pi\)
\(620\) −21.5036 + 12.4151i −0.863605 + 0.498602i
\(621\) −3.19818 + 11.4499i −0.128339 + 0.459468i
\(622\) 6.17140i 0.247451i
\(623\) −2.14175 + 12.3341i −0.0858074 + 0.494154i
\(624\) 35.6318 + 5.34770i 1.42641 + 0.214079i
\(625\) 3.62476 + 20.5571i 0.144991 + 0.822282i
\(626\) 18.4720 15.4999i 0.738291 0.619500i
\(627\) −2.24281 11.0587i −0.0895692 0.441642i
\(628\) 4.62676 + 12.7119i 0.184628 + 0.507260i
\(629\) −0.0390087 + 0.0675651i −0.00155538 + 0.00269400i
\(630\) −42.2832 + 27.5413i −1.68460 + 1.09727i
\(631\) 3.09835 + 5.36650i 0.123343 + 0.213637i 0.921084 0.389363i \(-0.127305\pi\)
−0.797741 + 0.603001i \(0.793972\pi\)
\(632\) −16.8961 + 20.1360i −0.672092 + 0.800968i
\(633\) −0.860372 + 1.58228i −0.0341967 + 0.0628899i
\(634\) 0.352563 + 1.99948i 0.0140021 + 0.0794097i
\(635\) 19.9393 16.7311i 0.791269 0.663953i
\(636\) 2.51221 + 1.36603i 0.0996157 + 0.0541666i
\(637\) −29.0824 4.97208i −1.15229 0.197001i
\(638\) 4.29731 2.48105i 0.170132 0.0982259i
\(639\) 9.16865 + 9.85654i 0.362706 + 0.389919i
\(640\) 51.2445i 2.02562i
\(641\) −8.28416 1.46072i −0.327205 0.0576950i 0.00763285 0.999971i \(-0.497570\pi\)
−0.334838 + 0.942276i \(0.608681\pi\)
\(642\) −8.05548 39.7194i −0.317924 1.56760i
\(643\) −12.6614 + 2.23255i −0.499317 + 0.0880430i −0.417634 0.908615i \(-0.637141\pi\)
−0.0816827 + 0.996658i \(0.526029\pi\)
\(644\) 2.91123 + 3.45119i 0.114719 + 0.135996i
\(645\) 3.93741 1.54818i 0.155035 0.0609595i
\(646\) −2.07957 + 11.7938i −0.0818196 + 0.464022i
\(647\) −3.45841 5.99014i −0.135964 0.235497i 0.790001 0.613105i \(-0.210080\pi\)
−0.925965 + 0.377609i \(0.876747\pi\)
\(648\) −18.6543 1.35074i −0.732812 0.0530620i
\(649\) −27.2596 15.7383i −1.07003 0.617784i
\(650\) 63.7926 23.2186i 2.50215 0.910708i
\(651\) 39.3357 + 5.79896i 1.54169 + 0.227279i
\(652\) 3.35918 2.81869i 0.131556 0.110388i
\(653\) 2.61548 7.18597i 0.102352 0.281209i −0.877938 0.478774i \(-0.841081\pi\)
0.980290 + 0.197565i \(0.0633035\pi\)
\(654\) 4.54183 13.5463i 0.177600 0.529702i
\(655\) 13.3934 75.9579i 0.523325 2.96792i
\(656\) 7.87778 + 13.6447i 0.307576 + 0.532736i
\(657\) 6.50711 1.49382i 0.253866 0.0582796i
\(658\) −40.8605 23.4492i −1.59291 0.914146i
\(659\) −5.58789 0.985295i −0.217673 0.0383817i 0.0637479 0.997966i \(-0.479695\pi\)
−0.281421 + 0.959584i \(0.590806\pi\)
\(660\) 12.1513 7.43603i 0.472990 0.289447i
\(661\) 47.1559 8.31485i 1.83415 0.323410i 0.853790 0.520618i \(-0.174298\pi\)
0.980362 + 0.197208i \(0.0631874\pi\)
\(662\) 33.4390 5.89620i 1.29965 0.229162i
\(663\) −0.594934 23.2686i −0.0231053 0.903677i
\(664\) 9.07941 + 1.60094i 0.352349 + 0.0621287i
\(665\) 19.9562 + 11.4526i 0.773866 + 0.444111i
\(666\) −0.00621639 0.121486i −0.000240880 0.00470747i
\(667\) 1.19186 + 2.06437i 0.0461491 + 0.0799327i
\(668\) 1.07404 6.09119i 0.0415559 0.235675i
\(669\) 13.0749 2.65170i 0.505503 0.102521i
\(670\) 23.6376 64.9439i 0.913202 2.50900i
\(671\) 16.7800 14.0801i 0.647787 0.543557i
\(672\) −11.4454 + 14.4476i −0.441515 + 0.557328i
\(673\) −17.7107 + 6.44618i −0.682699 + 0.248482i −0.660006 0.751260i \(-0.729446\pi\)
−0.0226931 + 0.999742i \(0.507224\pi\)
\(674\) −28.8168 16.6374i −1.10998 0.640849i
\(675\) −45.9964 + 20.8590i −1.77040 + 0.802862i
\(676\) −1.77729 3.07836i −0.0683573 0.118398i
\(677\) −2.26261 + 12.8319i −0.0869591 + 0.493169i 0.909958 + 0.414701i \(0.136114\pi\)
−0.996917 + 0.0784680i \(0.974997\pi\)
\(678\) −17.9902 14.3282i −0.690908 0.550270i
\(679\) −22.5494 26.7317i −0.865365 1.02587i
\(680\) 25.0344 4.41424i 0.960025 0.169278i
\(681\) 5.32521 + 1.78545i 0.204063 + 0.0684185i
\(682\) −40.6949 7.17561i −1.55829 0.274768i
\(683\) 41.4953i 1.58777i −0.608066 0.793886i \(-0.708054\pi\)
0.608066 0.793886i \(-0.291946\pi\)
\(684\) −1.97613 4.67150i −0.0755592 0.178619i
\(685\) −62.2710 + 35.9522i −2.37925 + 1.37366i
\(686\) 19.5427 23.6628i 0.746143 0.903451i
\(687\) −0.967735 37.8493i −0.0369214 1.44404i
\(688\) 2.40711 2.01981i 0.0917703 0.0770044i
\(689\) 1.62001 + 9.18751i 0.0617173 + 0.350016i
\(690\) 13.1502 + 21.4890i 0.500620 + 0.818071i
\(691\) −4.14114 + 4.93522i −0.157536 + 0.187745i −0.839039 0.544071i \(-0.816882\pi\)
0.681503 + 0.731815i \(0.261327\pi\)
\(692\) −7.28201 12.6128i −0.276821 0.479467i
\(693\) −22.6461 2.74916i −0.860253 0.104432i
\(694\) 0.522571 0.905120i 0.0198365 0.0343579i
\(695\) −17.3364 47.6314i −0.657608 1.80676i
\(696\) −2.81029 + 2.48324i −0.106524 + 0.0941269i
\(697\) 7.79696 6.54243i 0.295331 0.247812i
\(698\) 0.489925 + 2.77850i 0.0185439 + 0.105168i
\(699\) 10.0514 12.6204i 0.380180 0.477346i
\(700\) −3.28169 + 18.8989i −0.124036 + 0.714310i
\(701\) 10.7905i 0.407550i −0.979018 0.203775i \(-0.934679\pi\)
0.979018 0.203775i \(-0.0653211\pi\)
\(702\) 20.5007 + 29.9473i 0.773748 + 1.13029i
\(703\) −0.0480348 + 0.0277329i −0.00181167 + 0.00104597i
\(704\) −5.92261 + 7.05830i −0.223217 + 0.266020i
\(705\) −55.8562 44.4864i −2.10367 1.67545i
\(706\) −25.4661 30.3493i −0.958428 1.14221i
\(707\) 5.48871 4.62997i 0.206424 0.174128i
\(708\) −13.4153 4.49792i −0.504179 0.169042i
\(709\) −43.7116 + 15.9097i −1.64163 + 0.597503i −0.987322 0.158730i \(-0.949260\pi\)
−0.654303 + 0.756232i \(0.727038\pi\)
\(710\) 28.5278 1.07063
\(711\) −37.8966 + 1.93916i −1.42123 + 0.0727241i
\(712\) 9.83289i 0.368503i
\(713\) 3.44706 19.5493i 0.129093 0.732126i
\(714\) 21.3001 + 11.5103i 0.797135 + 0.430763i
\(715\) 43.6740 + 15.8960i 1.63332 + 0.594478i
\(716\) 1.42107 + 1.69357i 0.0531079 + 0.0632915i
\(717\) −0.270378 10.5748i −0.0100974 0.394923i
\(718\) 19.4825 7.09106i 0.727081 0.264636i
\(719\) −15.8232 −0.590106 −0.295053 0.955481i \(-0.595337\pi\)
−0.295053 + 0.955481i \(0.595337\pi\)
\(720\) −41.5933 + 38.6905i −1.55009 + 1.44191i
\(721\) 22.3378 12.9744i 0.831903 0.483191i
\(722\) 14.7651 17.5964i 0.549500 0.654869i
\(723\) 0.564889 0.114565i 0.0210084 0.00426071i
\(724\) 12.2144 + 14.5566i 0.453946 + 0.540992i
\(725\) −3.46361 + 9.51619i −0.128635 + 0.353422i
\(726\) −7.77607 1.16705i −0.288597 0.0433133i
\(727\) −11.4600 31.4861i −0.425028 1.16775i −0.948795 0.315893i \(-0.897696\pi\)
0.523767 0.851862i \(-0.324526\pi\)
\(728\) −23.1744 + 0.0603089i −0.858900 + 0.00223520i
\(729\) −16.9138 21.0457i −0.626437 0.779472i
\(730\) 7.07427 12.2530i 0.261831 0.453504i
\(731\) −1.55501 1.30481i −0.0575142 0.0482601i
\(732\) 6.13439 7.70222i 0.226733 0.284682i
\(733\) 5.74109 1.01231i 0.212052 0.0373905i −0.0666128 0.997779i \(-0.521219\pi\)
0.278665 + 0.960388i \(0.410108\pi\)
\(734\) 3.79329 + 21.5128i 0.140013 + 0.794053i
\(735\) 34.6971 30.9823i 1.27982 1.14280i
\(736\) 7.04927 + 5.91504i 0.259839 + 0.218031i
\(737\) 27.0576 15.6217i 0.996681 0.575434i
\(738\) −4.65862 + 15.1707i −0.171486 + 0.558439i
\(739\) 22.7016 39.3204i 0.835093 1.44642i −0.0588624 0.998266i \(-0.518747\pi\)
0.893955 0.448157i \(-0.147919\pi\)
\(740\) −0.0536434 0.0450122i −0.00197197 0.00165468i
\(741\) 7.90500 14.5378i 0.290398 0.534059i
\(742\) −9.12737 3.29522i −0.335076 0.120971i
\(743\) 8.03623 22.0794i 0.294821 0.810013i −0.700524 0.713629i \(-0.747050\pi\)
0.995344 0.0963839i \(-0.0307276\pi\)
\(744\) 31.2203 0.798246i 1.14459 0.0292651i
\(745\) 17.3468 + 47.6599i 0.635537 + 1.74612i
\(746\) −16.0733 9.27994i −0.588486 0.339763i
\(747\) 7.23496 + 11.1710i 0.264713 + 0.408727i
\(748\) −5.91940 3.41757i −0.216435 0.124959i
\(749\) 12.8690 + 35.0731i 0.470224 + 1.28154i
\(750\) −16.5213 + 49.2760i −0.603274 + 1.79930i
\(751\) −21.6249 7.87082i −0.789103 0.287210i −0.0841402 0.996454i \(-0.526814\pi\)
−0.704963 + 0.709244i \(0.749037\pi\)
\(752\) −49.8358 18.1388i −1.81733 0.661452i
\(753\) 22.0930 8.68690i 0.805112 0.316568i
\(754\) 7.16649 + 1.26364i 0.260988 + 0.0460192i
\(755\) −48.1920 −1.75389
\(756\) −10.2223 + 0.812230i −0.371781 + 0.0295405i
\(757\) −0.0748603 −0.00272084 −0.00136042 0.999999i \(-0.500433\pi\)
−0.00136042 + 0.999999i \(0.500433\pi\)
\(758\) 10.1954 + 1.79773i 0.370315 + 0.0652966i
\(759\) −1.69038 + 11.2630i −0.0613570 + 0.408823i
\(760\) 16.9826 + 6.18118i 0.616025 + 0.224215i
\(761\) 2.80845 + 1.02219i 0.101806 + 0.0370544i 0.392421 0.919786i \(-0.371638\pi\)
−0.290615 + 0.956840i \(0.593860\pi\)
\(762\) 19.0835 3.87031i 0.691322 0.140207i
\(763\) −2.25326 + 12.9762i −0.0815734 + 0.469771i
\(764\) −14.6451 8.45534i −0.529840 0.305903i
\(765\) 29.2805 + 22.1212i 1.05864 + 0.799792i
\(766\) 20.5772 + 11.8803i 0.743486 + 0.429252i
\(767\) −15.7881 43.3774i −0.570074 1.56627i
\(768\) −13.0078 + 23.9222i −0.469380 + 0.863219i
\(769\) 5.62460 15.4535i 0.202828 0.557266i −0.796019 0.605272i \(-0.793064\pi\)
0.998847 + 0.0480060i \(0.0152867\pi\)
\(770\) −36.9525 + 31.1711i −1.33168 + 1.12333i
\(771\) 0.0714001 0.00182557i 0.00257141 6.57462e-5i
\(772\) 8.52862 + 7.15636i 0.306952 + 0.257563i
\(773\) −19.5197 + 33.8091i −0.702074