Properties

Label 189.2.bd.a.47.2
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 47.2
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.47573 - 0.436538i) q^{2} +(-1.50729 + 0.853281i) q^{3} +(4.05929 + 1.47746i) q^{4} +(-2.58032 - 0.939158i) q^{5} +(4.10412 - 1.45451i) q^{6} +(-2.62404 + 0.338290i) q^{7} +(-5.05050 - 2.91591i) q^{8} +(1.54382 - 2.57228i) q^{9} +O(q^{10})\) \(q+(-2.47573 - 0.436538i) q^{2} +(-1.50729 + 0.853281i) q^{3} +(4.05929 + 1.47746i) q^{4} +(-2.58032 - 0.939158i) q^{5} +(4.10412 - 1.45451i) q^{6} +(-2.62404 + 0.338290i) q^{7} +(-5.05050 - 2.91591i) q^{8} +(1.54382 - 2.57228i) q^{9} +(5.97819 + 3.45151i) q^{10} +(1.43170 + 3.93357i) q^{11} +(-7.37920 + 1.23676i) q^{12} +(0.0398496 - 0.109486i) q^{13} +(6.64408 + 0.307977i) q^{14} +(4.69064 - 0.786155i) q^{15} +(4.61245 + 3.87030i) q^{16} +(2.57344 - 4.45733i) q^{17} +(-4.94499 + 5.69433i) q^{18} +(4.51931 - 2.60922i) q^{19} +(-9.08669 - 7.62463i) q^{20} +(3.66652 - 2.74894i) q^{21} +(-1.82736 - 10.3635i) q^{22} +(7.39321 - 1.30362i) q^{23} +(10.1006 + 0.0856107i) q^{24} +(1.94579 + 1.63271i) q^{25} +(-0.146452 + 0.253662i) q^{26} +(-0.132107 + 5.19447i) q^{27} +(-11.1515 - 2.50369i) q^{28} +(1.21597 + 3.34086i) q^{29} +(-11.9559 - 0.101336i) q^{30} +(-0.106042 + 0.291348i) q^{31} +(-2.23240 - 2.66047i) q^{32} +(-5.51443 - 4.70737i) q^{33} +(-8.31695 + 9.91175i) q^{34} +(7.08855 + 1.59149i) q^{35} +(10.0673 - 8.16068i) q^{36} +1.91994 q^{37} +(-12.3276 + 4.48688i) q^{38} +(0.0333575 + 0.199030i) q^{39} +(10.2934 + 12.2672i) q^{40} +(-6.29347 - 2.29063i) q^{41} +(-10.2773 + 5.20506i) q^{42} +(0.411100 - 2.33146i) q^{43} +18.0828i q^{44} +(-6.39933 + 5.18740i) q^{45} -18.8727 q^{46} +(-4.74491 + 1.72700i) q^{47} +(-10.2547 - 1.89794i) q^{48} +(6.77112 - 1.77537i) q^{49} +(-4.10452 - 4.89157i) q^{50} +(-0.0755560 + 8.91435i) q^{51} +(0.323522 - 0.385559i) q^{52} +(3.76047 - 2.17111i) q^{53} +(2.59465 - 12.8024i) q^{54} -11.4945i q^{55} +(14.2391 + 5.94291i) q^{56} +(-4.58549 + 7.78908i) q^{57} +(-1.55201 - 8.80190i) q^{58} +(8.02306 - 6.73214i) q^{59} +(20.2022 + 3.73901i) q^{60} +(-0.395365 - 1.08626i) q^{61} +(0.389715 - 0.675007i) q^{62} +(-3.18087 + 7.27201i) q^{63} +(-1.65570 - 2.86775i) q^{64} +(-0.205649 + 0.245083i) q^{65} +(11.5973 + 14.0614i) q^{66} +(1.92499 + 10.9172i) q^{67} +(17.0319 - 14.2915i) q^{68} +(-10.0313 + 8.27342i) q^{69} +(-16.8546 - 7.03452i) q^{70} +(-5.47124 + 3.15882i) q^{71} +(-15.2976 + 8.48964i) q^{72} +2.58177i q^{73} +(-4.75325 - 0.838127i) q^{74} +(-4.32603 - 0.800659i) q^{75} +(22.2002 - 3.91449i) q^{76} +(-5.08753 - 9.83750i) q^{77} +(0.00429980 - 0.507305i) q^{78} +(2.74201 - 15.5507i) q^{79} +(-8.26674 - 14.3184i) q^{80} +(-4.23322 - 7.94228i) q^{81} +(14.5810 + 8.41833i) q^{82} +(10.6778 - 3.88640i) q^{83} +(18.9449 - 5.74161i) q^{84} +(-10.8264 + 9.08446i) q^{85} +(-2.03554 + 5.59261i) q^{86} +(-4.68352 - 3.99807i) q^{87} +(4.23912 - 24.0412i) q^{88} +(-0.456832 - 0.791256i) q^{89} +(18.1075 - 10.0490i) q^{90} +(-0.0675288 + 0.300776i) q^{91} +(31.9372 + 5.63140i) q^{92} +(-0.0887660 - 0.529628i) q^{93} +(12.5010 - 2.20427i) q^{94} +(-14.1117 + 2.48828i) q^{95} +(5.63499 + 2.10523i) q^{96} +(5.88114 + 1.03700i) q^{97} +(-17.5385 + 1.43948i) q^{98} +(12.3285 + 2.39000i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.47573 0.436538i −1.75061 0.308679i −0.795723 0.605661i \(-0.792909\pi\)
−0.954883 + 0.296982i \(0.904020\pi\)
\(3\) −1.50729 + 0.853281i −0.870232 + 0.492642i
\(4\) 4.05929 + 1.47746i 2.02965 + 0.738731i
\(5\) −2.58032 0.939158i −1.15395 0.420004i −0.307019 0.951703i \(-0.599332\pi\)
−0.846933 + 0.531699i \(0.821554\pi\)
\(6\) 4.10412 1.45451i 1.67550 0.593800i
\(7\) −2.62404 + 0.338290i −0.991792 + 0.127862i
\(8\) −5.05050 2.91591i −1.78562 1.03093i
\(9\) 1.54382 2.57228i 0.514608 0.857426i
\(10\) 5.97819 + 3.45151i 1.89047 + 1.09146i
\(11\) 1.43170 + 3.93357i 0.431675 + 1.18602i 0.944784 + 0.327694i \(0.106271\pi\)
−0.513109 + 0.858323i \(0.671506\pi\)
\(12\) −7.37920 + 1.23676i −2.13019 + 0.357022i
\(13\) 0.0398496 0.109486i 0.0110523 0.0303659i −0.934044 0.357158i \(-0.883746\pi\)
0.945096 + 0.326793i \(0.105968\pi\)
\(14\) 6.64408 + 0.307977i 1.77571 + 0.0823103i
\(15\) 4.69064 0.786155i 1.21112 0.202984i
\(16\) 4.61245 + 3.87030i 1.15311 + 0.967575i
\(17\) 2.57344 4.45733i 0.624152 1.08106i −0.364553 0.931183i \(-0.618778\pi\)
0.988704 0.149879i \(-0.0478886\pi\)
\(18\) −4.94499 + 5.69433i −1.16554 + 1.34217i
\(19\) 4.51931 2.60922i 1.03680 0.598597i 0.117875 0.993028i \(-0.462392\pi\)
0.918925 + 0.394432i \(0.129059\pi\)
\(20\) −9.08669 7.62463i −2.03184 1.70492i
\(21\) 3.66652 2.74894i 0.800099 0.599868i
\(22\) −1.82736 10.3635i −0.389594 2.20950i
\(23\) 7.39321 1.30362i 1.54159 0.271824i 0.662714 0.748873i \(-0.269405\pi\)
0.878877 + 0.477049i \(0.158294\pi\)
\(24\) 10.1006 + 0.0856107i 2.06178 + 0.0174752i
\(25\) 1.94579 + 1.63271i 0.389158 + 0.326543i
\(26\) −0.146452 + 0.253662i −0.0287215 + 0.0497472i
\(27\) −0.132107 + 5.19447i −0.0254240 + 0.999677i
\(28\) −11.1515 2.50369i −2.10744 0.473153i
\(29\) 1.21597 + 3.34086i 0.225801 + 0.620383i 0.999920 0.0126573i \(-0.00402906\pi\)
−0.774119 + 0.633040i \(0.781807\pi\)
\(30\) −11.9559 0.101336i −2.18285 0.0185013i
\(31\) −0.106042 + 0.291348i −0.0190457 + 0.0523276i −0.948851 0.315724i \(-0.897753\pi\)
0.929805 + 0.368051i \(0.119975\pi\)
\(32\) −2.23240 2.66047i −0.394636 0.470309i
\(33\) −5.51443 4.70737i −0.959939 0.819449i
\(34\) −8.31695 + 9.91175i −1.42634 + 1.69985i
\(35\) 7.08855 + 1.59149i 1.19818 + 0.269011i
\(36\) 10.0673 8.16068i 1.67788 1.36011i
\(37\) 1.91994 0.315636 0.157818 0.987468i \(-0.449554\pi\)
0.157818 + 0.987468i \(0.449554\pi\)
\(38\) −12.3276 + 4.48688i −1.99980 + 0.727868i
\(39\) 0.0333575 + 0.199030i 0.00534147 + 0.0318702i
\(40\) 10.2934 + 12.2672i 1.62753 + 1.93961i
\(41\) −6.29347 2.29063i −0.982874 0.357737i −0.199917 0.979813i \(-0.564067\pi\)
−0.782957 + 0.622076i \(0.786290\pi\)
\(42\) −10.2773 + 5.20506i −1.58582 + 0.803158i
\(43\) 0.411100 2.33146i 0.0626921 0.355545i −0.937284 0.348568i \(-0.886668\pi\)
0.999976 0.00697673i \(-0.00222078\pi\)
\(44\) 18.0828i 2.72609i
\(45\) −6.39933 + 5.18740i −0.953955 + 0.773291i
\(46\) −18.8727 −2.78262
\(47\) −4.74491 + 1.72700i −0.692116 + 0.251910i −0.664041 0.747696i \(-0.731160\pi\)
−0.0280749 + 0.999606i \(0.508938\pi\)
\(48\) −10.2547 1.89794i −1.48014 0.273944i
\(49\) 6.77112 1.77537i 0.967303 0.253624i
\(50\) −4.10452 4.89157i −0.580466 0.691773i
\(51\) −0.0755560 + 8.91435i −0.0105800 + 1.24826i
\(52\) 0.323522 0.385559i 0.0448645 0.0534674i
\(53\) 3.76047 2.17111i 0.516541 0.298225i −0.218977 0.975730i \(-0.570272\pi\)
0.735518 + 0.677505i \(0.236939\pi\)
\(54\) 2.59465 12.8024i 0.353087 1.74219i
\(55\) 11.4945i 1.54991i
\(56\) 14.2391 + 5.94291i 1.90278 + 0.794155i
\(57\) −4.58549 + 7.78908i −0.607362 + 1.03169i
\(58\) −1.55201 8.80190i −0.203789 1.15575i
\(59\) 8.02306 6.73214i 1.04451 0.876450i 0.0520070 0.998647i \(-0.483438\pi\)
0.992506 + 0.122196i \(0.0389937\pi\)
\(60\) 20.2022 + 3.73901i 2.60809 + 0.482704i
\(61\) −0.395365 1.08626i −0.0506214 0.139081i 0.911805 0.410623i \(-0.134689\pi\)
−0.962427 + 0.271542i \(0.912466\pi\)
\(62\) 0.389715 0.675007i 0.0494939 0.0857260i
\(63\) −3.18087 + 7.27201i −0.400752 + 0.916187i
\(64\) −1.65570 2.86775i −0.206962 0.358469i
\(65\) −0.205649 + 0.245083i −0.0255077 + 0.0303988i
\(66\) 11.5973 + 14.0614i 1.42753 + 1.73084i
\(67\) 1.92499 + 10.9172i 0.235175 + 1.33374i 0.842245 + 0.539095i \(0.181234\pi\)
−0.607070 + 0.794648i \(0.707655\pi\)
\(68\) 17.0319 14.2915i 2.06542 1.73309i
\(69\) −10.0313 + 8.27342i −1.20763 + 0.996002i
\(70\) −16.8546 7.03452i −2.01451 0.840786i
\(71\) −5.47124 + 3.15882i −0.649317 + 0.374883i −0.788194 0.615426i \(-0.788984\pi\)
0.138878 + 0.990310i \(0.455650\pi\)
\(72\) −15.2976 + 8.48964i −1.80284 + 1.00051i
\(73\) 2.58177i 0.302173i 0.988521 + 0.151087i \(0.0482773\pi\)
−0.988521 + 0.151087i \(0.951723\pi\)
\(74\) −4.75325 0.838127i −0.552555 0.0974303i
\(75\) −4.32603 0.800659i −0.499527 0.0924521i
\(76\) 22.2002 3.91449i 2.54654 0.449023i
\(77\) −5.08753 9.83750i −0.579778 1.12109i
\(78\) 0.00429980 0.507305i 0.000486857 0.0574410i
\(79\) 2.74201 15.5507i 0.308501 1.74959i −0.298052 0.954550i \(-0.596337\pi\)
0.606552 0.795044i \(-0.292552\pi\)
\(80\) −8.26674 14.3184i −0.924250 1.60085i
\(81\) −4.23322 7.94228i −0.470358 0.882476i
\(82\) 14.5810 + 8.41833i 1.61020 + 0.929649i
\(83\) 10.6778 3.88640i 1.17204 0.426588i 0.318657 0.947870i \(-0.396768\pi\)
0.853384 + 0.521282i \(0.174546\pi\)
\(84\) 18.9449 5.74161i 2.06706 0.626461i
\(85\) −10.8264 + 9.08446i −1.17429 + 0.985348i
\(86\) −2.03554 + 5.59261i −0.219498 + 0.603067i
\(87\) −4.68352 3.99807i −0.502126 0.428638i
\(88\) 4.23912 24.0412i 0.451891 2.56280i
\(89\) −0.456832 0.791256i −0.0484241 0.0838730i 0.840797 0.541350i \(-0.182087\pi\)
−0.889221 + 0.457477i \(0.848753\pi\)
\(90\) 18.1075 10.0490i 1.90870 1.05926i
\(91\) −0.0675288 + 0.300776i −0.00707894 + 0.0315299i
\(92\) 31.9372 + 5.63140i 3.32969 + 0.587114i
\(93\) −0.0887660 0.529628i −0.00920460 0.0549198i
\(94\) 12.5010 2.20427i 1.28938 0.227353i
\(95\) −14.1117 + 2.48828i −1.44783 + 0.255292i
\(96\) 5.63499 + 2.10523i 0.575119 + 0.214864i
\(97\) 5.88114 + 1.03700i 0.597140 + 0.105292i 0.464045 0.885812i \(-0.346398\pi\)
0.133094 + 0.991103i \(0.457509\pi\)
\(98\) −17.5385 + 1.43948i −1.77165 + 0.145410i
\(99\) 12.3285 + 2.39000i 1.23906 + 0.240204i
\(100\) 5.48627 + 9.50249i 0.548627 + 0.950249i
\(101\) 1.43057 8.11319i 0.142347 0.807292i −0.827111 0.562038i \(-0.810017\pi\)
0.969459 0.245254i \(-0.0788714\pi\)
\(102\) 4.07851 22.0365i 0.403833 2.18194i
\(103\) −0.337183 + 0.926404i −0.0332237 + 0.0912813i −0.955195 0.295976i \(-0.904355\pi\)
0.921972 + 0.387257i \(0.126577\pi\)
\(104\) −0.520511 + 0.436761i −0.0510403 + 0.0428279i
\(105\) −12.0425 + 3.64969i −1.17522 + 0.356174i
\(106\) −10.2577 + 3.73349i −0.996315 + 0.362629i
\(107\) 11.2050 + 6.46919i 1.08322 + 0.625400i 0.931764 0.363064i \(-0.118269\pi\)
0.151460 + 0.988463i \(0.451603\pi\)
\(108\) −8.21089 + 20.8907i −0.790093 + 2.01021i
\(109\) 1.89554 + 3.28318i 0.181560 + 0.314471i 0.942412 0.334454i \(-0.108552\pi\)
−0.760852 + 0.648926i \(0.775219\pi\)
\(110\) −5.01777 + 28.4572i −0.478426 + 2.71329i
\(111\) −2.89390 + 1.63825i −0.274677 + 0.155496i
\(112\) −13.4125 8.59546i −1.26736 0.812195i
\(113\) 2.66007 0.469041i 0.250238 0.0441237i −0.0471221 0.998889i \(-0.515005\pi\)
0.297360 + 0.954765i \(0.403894\pi\)
\(114\) 14.7527 17.2819i 1.38171 1.61860i
\(115\) −20.3011 3.57964i −1.89309 0.333803i
\(116\) 15.3581i 1.42596i
\(117\) −0.220107 0.271531i −0.0203489 0.0251031i
\(118\) −22.8018 + 13.1646i −2.09907 + 1.21190i
\(119\) −5.24493 + 12.5668i −0.480802 + 1.15199i
\(120\) −25.9824 9.70700i −2.37186 0.886124i
\(121\) −4.99673 + 4.19276i −0.454249 + 0.381160i
\(122\) 0.504625 + 2.86187i 0.0456866 + 0.259102i
\(123\) 11.4406 1.91745i 1.03156 0.172891i
\(124\) −0.860909 + 1.02599i −0.0773120 + 0.0921368i
\(125\) 3.37741 + 5.84984i 0.302084 + 0.523225i
\(126\) 11.0495 16.6150i 0.984366 1.48018i
\(127\) 0.619432 1.07289i 0.0549657 0.0952034i −0.837233 0.546846i \(-0.815828\pi\)
0.892199 + 0.451642i \(0.149162\pi\)
\(128\) 5.22285 + 14.3496i 0.461639 + 1.26834i
\(129\) 1.36975 + 3.86496i 0.120600 + 0.340291i
\(130\) 0.616120 0.516986i 0.0540373 0.0453427i
\(131\) 1.30100 + 7.37831i 0.113669 + 0.644646i 0.987401 + 0.158239i \(0.0505817\pi\)
−0.873732 + 0.486407i \(0.838307\pi\)
\(132\) −15.4297 27.2560i −1.34298 2.37233i
\(133\) −10.9761 + 8.37553i −0.951752 + 0.726250i
\(134\) 27.8683i 2.40745i
\(135\) 5.21931 13.2793i 0.449207 1.14290i
\(136\) −25.9943 + 15.0078i −2.22900 + 1.28691i
\(137\) 10.4685 12.4759i 0.894383 1.06588i −0.103078 0.994673i \(-0.532869\pi\)
0.997461 0.0712111i \(-0.0226864\pi\)
\(138\) 28.4465 16.1037i 2.42153 1.37084i
\(139\) 6.25623 + 7.45589i 0.530647 + 0.632400i 0.963064 0.269274i \(-0.0867836\pi\)
−0.432417 + 0.901674i \(0.642339\pi\)
\(140\) 26.4231 + 16.9334i 2.23316 + 1.43113i
\(141\) 5.67831 6.65183i 0.478200 0.560185i
\(142\) 14.9243 5.43199i 1.25242 0.455842i
\(143\) 0.487724 0.0407855
\(144\) 17.0763 5.88943i 1.42302 0.490786i
\(145\) 9.76248i 0.810730i
\(146\) 1.12704 6.39177i 0.0932746 0.528987i
\(147\) −8.69113 + 8.45366i −0.716832 + 0.697246i
\(148\) 7.79359 + 2.83664i 0.640630 + 0.233170i
\(149\) −10.7706 12.8359i −0.882365 1.05156i −0.998299 0.0583043i \(-0.981431\pi\)
0.115934 0.993257i \(-0.463014\pi\)
\(150\) 10.3606 + 3.87069i 0.845936 + 0.316041i
\(151\) 14.0649 5.11922i 1.14459 0.416596i 0.301020 0.953618i \(-0.402673\pi\)
0.843568 + 0.537022i \(0.180451\pi\)
\(152\) −30.4330 −2.46844
\(153\) −7.49256 13.5009i −0.605738 1.09149i
\(154\) 8.30090 + 26.5759i 0.668906 + 2.14155i
\(155\) 0.547243 0.652179i 0.0439556 0.0523843i
\(156\) −0.158651 + 0.857203i −0.0127022 + 0.0686312i
\(157\) −2.07640 2.47456i −0.165715 0.197492i 0.676796 0.736171i \(-0.263368\pi\)
−0.842511 + 0.538679i \(0.818924\pi\)
\(158\) −13.5770 + 37.3024i −1.08013 + 2.96762i
\(159\) −3.81554 + 6.48123i −0.302592 + 0.513995i
\(160\) 3.26169 + 8.96143i 0.257860 + 0.708464i
\(161\) −18.9590 + 5.92180i −1.49418 + 0.466703i
\(162\) 7.01321 + 21.5109i 0.551010 + 1.69006i
\(163\) 3.85622 6.67918i 0.302043 0.523153i −0.674556 0.738224i \(-0.735665\pi\)
0.976599 + 0.215070i \(0.0689981\pi\)
\(164\) −22.1627 18.5967i −1.73062 1.45216i
\(165\) 9.80801 + 17.3254i 0.763552 + 1.34878i
\(166\) −28.1319 + 4.96042i −2.18346 + 0.385003i
\(167\) 0.286318 + 1.62379i 0.0221559 + 0.125652i 0.993880 0.110468i \(-0.0352350\pi\)
−0.971724 + 0.236121i \(0.924124\pi\)
\(168\) −26.5334 + 3.19230i −2.04710 + 0.246291i
\(169\) 9.94818 + 8.34751i 0.765245 + 0.642116i
\(170\) 30.7691 17.7645i 2.35988 1.36248i
\(171\) 0.265363 15.6531i 0.0202928 1.19702i
\(172\) 5.11342 8.85670i 0.389894 0.675317i
\(173\) −14.0046 11.7513i −1.06475 0.893434i −0.0701858 0.997534i \(-0.522359\pi\)
−0.994567 + 0.104100i \(0.966804\pi\)
\(174\) 9.84982 + 11.9427i 0.746713 + 0.905372i
\(175\) −5.65816 3.62606i −0.427716 0.274104i
\(176\) −8.62046 + 23.6845i −0.649792 + 1.78529i
\(177\) −6.34863 + 16.9932i −0.477192 + 1.27729i
\(178\) 0.785580 + 2.15836i 0.0588817 + 0.161776i
\(179\) 3.65498 + 2.11020i 0.273186 + 0.157724i 0.630335 0.776324i \(-0.282918\pi\)
−0.357149 + 0.934048i \(0.616251\pi\)
\(180\) −33.6409 + 11.6024i −2.50745 + 0.864791i
\(181\) −9.51249 5.49204i −0.707058 0.408220i 0.102913 0.994690i \(-0.467184\pi\)
−0.809971 + 0.586470i \(0.800517\pi\)
\(182\) 0.298483 0.715161i 0.0221250 0.0530112i
\(183\) 1.52281 + 1.29994i 0.112569 + 0.0960946i
\(184\) −41.1406 14.9740i −3.03293 1.10390i
\(185\) −4.95405 1.80313i −0.364229 0.132569i
\(186\) −0.0114420 + 1.34997i −0.000838968 + 0.0989843i
\(187\) 21.2177 + 3.74125i 1.55159 + 0.273587i
\(188\) −21.8125 −1.59084
\(189\) −1.41058 13.6752i −0.102605 0.994722i
\(190\) 36.0230 2.61338
\(191\) −10.0041 1.76400i −0.723872 0.127638i −0.200441 0.979706i \(-0.564237\pi\)
−0.523432 + 0.852068i \(0.675348\pi\)
\(192\) 4.94260 + 2.90974i 0.356702 + 0.209993i
\(193\) −8.12064 2.95567i −0.584536 0.212754i 0.0327883 0.999462i \(-0.489561\pi\)
−0.617325 + 0.786708i \(0.711784\pi\)
\(194\) −14.1074 5.13469i −1.01285 0.368649i
\(195\) 0.100847 0.544887i 0.00722183 0.0390202i
\(196\) 30.1090 + 2.79733i 2.15064 + 0.199809i
\(197\) 0.625155 + 0.360933i 0.0445405 + 0.0257154i 0.522105 0.852881i \(-0.325147\pi\)
−0.477564 + 0.878597i \(0.658480\pi\)
\(198\) −29.4788 11.2989i −2.09497 0.802976i
\(199\) 18.8603 + 10.8890i 1.33697 + 0.771899i 0.986357 0.164622i \(-0.0526403\pi\)
0.350612 + 0.936521i \(0.385974\pi\)
\(200\) −5.06638 13.9198i −0.358247 0.984276i
\(201\) −12.2169 14.8127i −0.861715 1.04481i
\(202\) −7.08343 + 19.4616i −0.498388 + 1.36931i
\(203\) −4.32094 8.35519i −0.303271 0.586419i
\(204\) −13.4773 + 36.0743i −0.943600 + 2.52571i
\(205\) 14.0879 + 11.8211i 0.983939 + 0.825623i
\(206\) 1.23919 2.14633i 0.0863382 0.149542i
\(207\) 8.06052 21.0299i 0.560245 1.46168i
\(208\) 0.607548 0.350768i 0.0421259 0.0243214i
\(209\) 16.7339 + 14.0414i 1.15751 + 0.971263i
\(210\) 31.4071 3.77867i 2.16730 0.260753i
\(211\) 1.68157 + 9.53668i 0.115764 + 0.656532i 0.986369 + 0.164549i \(0.0526168\pi\)
−0.870605 + 0.491983i \(0.836272\pi\)
\(212\) 18.4726 3.25722i 1.26870 0.223706i
\(213\) 5.55136 9.42975i 0.380373 0.646116i
\(214\) −24.9164 20.9074i −1.70325 1.42920i
\(215\) −3.25038 + 5.62982i −0.221674 + 0.383951i
\(216\) 15.8138 25.8495i 1.07599 1.75883i
\(217\) 0.179698 0.800379i 0.0121987 0.0543333i
\(218\) −3.25962 8.95574i −0.220769 0.606559i
\(219\) −2.20298 3.89147i −0.148863 0.262961i
\(220\) 16.9826 46.6594i 1.14497 3.14577i
\(221\) −0.385465 0.459379i −0.0259292 0.0309012i
\(222\) 7.87967 2.79256i 0.528849 0.187425i
\(223\) −18.0896 + 21.5583i −1.21137 + 1.44365i −0.349183 + 0.937055i \(0.613541\pi\)
−0.862184 + 0.506596i \(0.830904\pi\)
\(224\) 6.75791 + 6.22597i 0.451532 + 0.415990i
\(225\) 7.20375 2.48450i 0.480250 0.165633i
\(226\) −6.79036 −0.451688
\(227\) −7.19954 + 2.62042i −0.477850 + 0.173923i −0.569705 0.821849i \(-0.692943\pi\)
0.0918550 + 0.995772i \(0.470720\pi\)
\(228\) −30.1219 + 24.8433i −1.99487 + 1.64529i
\(229\) 9.13922 + 10.8917i 0.603937 + 0.719744i 0.978220 0.207571i \(-0.0665557\pi\)
−0.374283 + 0.927314i \(0.622111\pi\)
\(230\) 48.6975 + 17.7244i 3.21102 + 1.16871i
\(231\) 16.0625 + 10.4868i 1.05684 + 0.689983i
\(232\) 3.60037 20.4187i 0.236376 1.34055i
\(233\) 22.4909i 1.47343i −0.676204 0.736714i \(-0.736376\pi\)
0.676204 0.736714i \(-0.263624\pi\)
\(234\) 0.426393 + 0.768323i 0.0278742 + 0.0502269i
\(235\) 13.8653 0.904472
\(236\) 42.5144 15.4740i 2.76745 1.00727i
\(237\) 9.13614 + 25.7791i 0.593456 + 1.67453i
\(238\) 18.4709 28.8223i 1.19729 1.86827i
\(239\) −15.3178 18.2550i −0.990825 1.18082i −0.983511 0.180846i \(-0.942116\pi\)
−0.00731345 0.999973i \(-0.502328\pi\)
\(240\) 24.6780 + 14.5281i 1.59296 + 0.937785i
\(241\) 8.71797 10.3897i 0.561574 0.669257i −0.408305 0.912846i \(-0.633880\pi\)
0.969879 + 0.243588i \(0.0783245\pi\)
\(242\) 14.2009 8.19887i 0.912866 0.527044i
\(243\) 13.1577 + 8.35916i 0.844065 + 0.536240i
\(244\) 4.99357i 0.319681i
\(245\) −19.1390 1.77814i −1.22274 0.113601i
\(246\) −29.1609 0.247161i −1.85923 0.0157584i
\(247\) −0.105581 0.598777i −0.00671793 0.0380993i
\(248\) 1.38511 1.16224i 0.0879544 0.0738025i
\(249\) −12.7783 + 14.9691i −0.809792 + 0.948627i
\(250\) −5.80787 15.9570i −0.367322 1.00921i
\(251\) 4.77251 8.26623i 0.301238 0.521760i −0.675179 0.737654i \(-0.735933\pi\)
0.976417 + 0.215895i \(0.0692668\pi\)
\(252\) −23.6562 + 24.8196i −1.49020 + 1.56349i
\(253\) 15.7128 + 27.2153i 0.987854 + 1.71101i
\(254\) −2.00190 + 2.38578i −0.125611 + 0.149697i
\(255\) 8.56694 22.9309i 0.536483 1.43599i
\(256\) −5.51615 31.2837i −0.344760 1.95523i
\(257\) −4.23694 + 3.55522i −0.264293 + 0.221768i −0.765298 0.643676i \(-0.777408\pi\)
0.501005 + 0.865445i \(0.332964\pi\)
\(258\) −1.70392 10.1666i −0.106082 0.632942i
\(259\) −5.03799 + 0.649496i −0.313045 + 0.0403577i
\(260\) −1.19689 + 0.691025i −0.0742280 + 0.0428556i
\(261\) 10.4709 + 2.02988i 0.648131 + 0.125646i
\(262\) 18.8347i 1.16361i
\(263\) −8.23979 1.45290i −0.508087 0.0895895i −0.0862727 0.996272i \(-0.527496\pi\)
−0.421815 + 0.906682i \(0.638607\pi\)
\(264\) 14.1244 + 39.8542i 0.869295 + 2.45285i
\(265\) −11.7422 + 2.07047i −0.721319 + 0.127188i
\(266\) 30.8302 15.9440i 1.89032 0.977592i
\(267\) 1.36374 + 0.802844i 0.0834596 + 0.0491332i
\(268\) −8.31559 + 47.1600i −0.507955 + 2.88076i
\(269\) 9.52435 + 16.4967i 0.580710 + 1.00582i 0.995395 + 0.0958542i \(0.0305583\pi\)
−0.414685 + 0.909965i \(0.636108\pi\)
\(270\) −18.7185 + 30.5976i −1.13917 + 1.86211i
\(271\) −21.6453 12.4969i −1.31486 0.759134i −0.331962 0.943293i \(-0.607710\pi\)
−0.982896 + 0.184159i \(0.941044\pi\)
\(272\) 29.1211 10.5992i 1.76573 0.642671i
\(273\) −0.154861 0.510976i −0.00937261 0.0309257i
\(274\) −31.3633 + 26.3170i −1.89473 + 1.58987i
\(275\) −3.63660 + 9.99148i −0.219295 + 0.602509i
\(276\) −52.9437 + 18.7633i −3.18684 + 1.12942i
\(277\) 3.87669 21.9858i 0.232928 1.32100i −0.614006 0.789301i \(-0.710443\pi\)
0.846934 0.531698i \(-0.178446\pi\)
\(278\) −12.2340 21.1899i −0.733745 1.27088i
\(279\) 0.585717 + 0.722558i 0.0350660 + 0.0432584i
\(280\) −31.1601 28.7074i −1.86217 1.71559i
\(281\) 11.7375 + 2.06964i 0.700200 + 0.123464i 0.512405 0.858744i \(-0.328755\pi\)
0.187795 + 0.982208i \(0.439866\pi\)
\(282\) −16.9617 + 13.9893i −1.01006 + 0.833053i
\(283\) −3.98101 + 0.701959i −0.236646 + 0.0417271i −0.290713 0.956810i \(-0.593893\pi\)
0.0540671 + 0.998537i \(0.482782\pi\)
\(284\) −26.8764 + 4.73903i −1.59482 + 0.281210i
\(285\) 19.1472 15.7918i 1.13418 0.935425i
\(286\) −1.20747 0.212910i −0.0713994 0.0125896i
\(287\) 17.2892 + 3.88169i 1.02055 + 0.229129i
\(288\) −10.2899 + 1.63506i −0.606338 + 0.0963467i
\(289\) −4.74522 8.21896i −0.279130 0.483468i
\(290\) −4.26169 + 24.1693i −0.250255 + 1.41927i
\(291\) −9.74942 + 3.45521i −0.571521 + 0.202548i
\(292\) −3.81447 + 10.4802i −0.223225 + 0.613305i
\(293\) −1.36115 + 1.14214i −0.0795192 + 0.0667245i −0.681681 0.731650i \(-0.738751\pi\)
0.602162 + 0.798374i \(0.294306\pi\)
\(294\) 25.2072 17.1350i 1.47012 0.999332i
\(295\) −27.0246 + 9.83614i −1.57343 + 0.572682i
\(296\) −9.69666 5.59837i −0.563607 0.325399i
\(297\) −20.6220 + 6.91729i −1.19661 + 0.401382i
\(298\) 21.0618 + 36.4801i 1.22008 + 2.11324i
\(299\) 0.151888 0.861401i 0.00878392 0.0498161i
\(300\) −16.3777 9.64165i −0.945565 0.556661i
\(301\) −0.290030 + 6.25691i −0.0167170 + 0.360642i
\(302\) −37.0557 + 6.53392i −2.13232 + 0.375985i
\(303\) 4.76654 + 13.4496i 0.273831 + 0.772658i
\(304\) 30.9435 + 5.45618i 1.77473 + 0.312933i
\(305\) 3.17420i 0.181754i
\(306\) 12.6559 + 36.6955i 0.723489 + 2.09774i
\(307\) 17.0250 9.82941i 0.971670 0.560994i 0.0719253 0.997410i \(-0.477086\pi\)
0.899745 + 0.436416i \(0.143752\pi\)
\(308\) −6.11723 47.4499i −0.348561 2.70371i
\(309\) −0.282251 1.68407i −0.0160567 0.0958033i
\(310\) −1.63953 + 1.37573i −0.0931189 + 0.0781360i
\(311\) 4.59744 + 26.0734i 0.260697 + 1.47849i 0.781014 + 0.624514i \(0.214703\pi\)
−0.520317 + 0.853973i \(0.674186\pi\)
\(312\) 0.411880 1.10247i 0.0233181 0.0624149i
\(313\) 3.24044 3.86181i 0.183161 0.218282i −0.666649 0.745371i \(-0.732272\pi\)
0.849810 + 0.527089i \(0.176717\pi\)
\(314\) 4.06038 + 7.03278i 0.229140 + 0.396883i
\(315\) 15.0372 15.7767i 0.847251 0.888918i
\(316\) 34.1062 59.0737i 1.91862 3.32316i
\(317\) 10.5704 + 29.0420i 0.593694 + 1.63116i 0.763592 + 0.645699i \(0.223434\pi\)
−0.169897 + 0.985462i \(0.554344\pi\)
\(318\) 12.2756 14.3801i 0.688379 0.806398i
\(319\) −11.4006 + 9.56625i −0.638312 + 0.535607i
\(320\) 1.57895 + 8.95466i 0.0882659 + 0.500581i
\(321\) −22.4091 0.189934i −1.25075 0.0106011i
\(322\) 49.5225 6.38443i 2.75978 0.355790i
\(323\) 26.8587i 1.49446i
\(324\) −5.44947 38.4945i −0.302748 2.13858i
\(325\) 0.256298 0.147974i 0.0142169 0.00820811i
\(326\) −12.4627 + 14.8525i −0.690244 + 0.822601i
\(327\) −5.65860 3.33125i −0.312921 0.184219i
\(328\) 25.1059 + 29.9200i 1.38624 + 1.65206i
\(329\) 11.8666 6.13688i 0.654225 0.338337i
\(330\) −16.7188 47.1747i −0.920338 2.59688i
\(331\) −15.4130 + 5.60987i −0.847174 + 0.308346i −0.728888 0.684633i \(-0.759962\pi\)
−0.118286 + 0.992980i \(0.537740\pi\)
\(332\) 49.0863 2.69396
\(333\) 2.96405 4.93862i 0.162429 0.270635i
\(334\) 4.14505i 0.226807i
\(335\) 5.28586 29.9776i 0.288797 1.63785i
\(336\) 27.5508 + 1.51119i 1.50302 + 0.0824420i
\(337\) −1.34897 0.490985i −0.0734831 0.0267457i 0.305017 0.952347i \(-0.401338\pi\)
−0.378500 + 0.925601i \(0.623560\pi\)
\(338\) −20.9850 25.0090i −1.14143 1.36031i
\(339\) −3.60926 + 2.97676i −0.196028 + 0.161676i
\(340\) −57.3696 + 20.8808i −3.11130 + 1.13242i
\(341\) −1.29786 −0.0702829
\(342\) −7.49013 + 38.6370i −0.405020 + 2.08925i
\(343\) −17.1671 + 6.94923i −0.926934 + 0.375223i
\(344\) −8.87459 + 10.5763i −0.478486 + 0.570237i
\(345\) 33.6540 11.9270i 1.81187 0.642130i
\(346\) 29.5418 + 35.2066i 1.58818 + 1.89272i
\(347\) 2.17743 5.98243i 0.116890 0.321154i −0.867426 0.497566i \(-0.834227\pi\)
0.984316 + 0.176413i \(0.0564493\pi\)
\(348\) −13.1048 23.1490i −0.702489 1.24092i
\(349\) −2.99689 8.23388i −0.160420 0.440749i 0.833276 0.552856i \(-0.186462\pi\)
−0.993696 + 0.112107i \(0.964240\pi\)
\(350\) 12.4252 + 11.4471i 0.664153 + 0.611875i
\(351\) 0.563457 + 0.221462i 0.0300751 + 0.0118207i
\(352\) 7.26902 12.5903i 0.387440 0.671066i
\(353\) −1.68284 1.41207i −0.0895683 0.0751568i 0.596904 0.802313i \(-0.296397\pi\)
−0.686472 + 0.727156i \(0.740842\pi\)
\(354\) 23.1357 39.2991i 1.22965 2.08873i
\(355\) 17.0842 3.01240i 0.906733 0.159881i
\(356\) −0.685364 3.88689i −0.0363242 0.206005i
\(357\) −2.81737 23.4171i −0.149111 1.23937i
\(358\) −8.12756 6.81983i −0.429555 0.360439i
\(359\) −11.5360 + 6.66031i −0.608847 + 0.351518i −0.772514 0.634998i \(-0.781001\pi\)
0.163667 + 0.986516i \(0.447668\pi\)
\(360\) 47.4458 7.53910i 2.50061 0.397345i
\(361\) 4.11608 7.12926i 0.216636 0.375224i
\(362\) 21.1529 + 17.7494i 1.11177 + 0.932887i
\(363\) 3.95391 10.5833i 0.207526 0.555479i
\(364\) −0.718503 + 1.12116i −0.0376598 + 0.0587650i
\(365\) 2.42469 6.66179i 0.126914 0.348694i
\(366\) −3.20260 3.88307i −0.167402 0.202972i
\(367\) −3.64673 10.0193i −0.190358 0.523003i 0.807395 0.590012i \(-0.200877\pi\)
−0.997752 + 0.0670083i \(0.978655\pi\)
\(368\) 39.1462 + 22.6011i 2.04064 + 1.17816i
\(369\) −15.6081 + 12.6522i −0.812527 + 0.658648i
\(370\) 11.4778 + 6.62669i 0.596701 + 0.344505i
\(371\) −9.13315 + 6.96920i −0.474169 + 0.361823i
\(372\) 0.422177 2.28106i 0.0218889 0.118268i
\(373\) 13.1561 + 4.78843i 0.681197 + 0.247935i 0.659361 0.751826i \(-0.270827\pi\)
0.0218355 + 0.999762i \(0.493049\pi\)
\(374\) −50.8960 18.5246i −2.63177 0.957886i
\(375\) −10.0823 5.93550i −0.520646 0.306508i
\(376\) 28.9999 + 5.11347i 1.49556 + 0.263707i
\(377\) 0.414234 0.0213341
\(378\) −2.47751 + 34.4718i −0.127429 + 1.77304i
\(379\) −34.6102 −1.77781 −0.888903 0.458095i \(-0.848532\pi\)
−0.888903 + 0.458095i \(0.848532\pi\)
\(380\) −60.9599 10.7489i −3.12718 0.551405i
\(381\) −0.0181865 + 2.14570i −0.000931720 + 0.109928i
\(382\) 23.9974 + 8.73436i 1.22782 + 0.446888i
\(383\) −15.9030 5.78823i −0.812607 0.295765i −0.0979068 0.995196i \(-0.531215\pi\)
−0.714700 + 0.699431i \(0.753437\pi\)
\(384\) −20.1166 17.1725i −1.02657 0.876329i
\(385\) 3.88846 + 30.1619i 0.198174 + 1.53719i
\(386\) 18.8143 + 10.8624i 0.957620 + 0.552882i
\(387\) −5.36250 4.65683i −0.272591 0.236720i
\(388\) 22.3411 + 12.8987i 1.13420 + 0.654830i
\(389\) 1.49572 + 4.10945i 0.0758359 + 0.208357i 0.971818 0.235733i \(-0.0757491\pi\)
−0.895982 + 0.444090i \(0.853527\pi\)
\(390\) −0.487535 + 1.30497i −0.0246873 + 0.0660797i
\(391\) 13.2153 36.3088i 0.668327 1.83621i
\(392\) −39.3744 10.7775i −1.98871 0.544344i
\(393\) −8.25675 10.0111i −0.416498 0.504994i
\(394\) −1.39015 1.16648i −0.0700350 0.0587663i
\(395\) −21.6799 + 37.5506i −1.09083 + 1.88938i
\(396\) 46.5140 + 27.9166i 2.33742 + 1.40286i
\(397\) 9.37906 5.41500i 0.470721 0.271771i −0.245820 0.969315i \(-0.579057\pi\)
0.716542 + 0.697544i \(0.245724\pi\)
\(398\) −41.9395 35.1914i −2.10224 1.76399i
\(399\) 9.39751 21.9900i 0.470464 1.10088i
\(400\) 2.65577 + 15.0616i 0.132788 + 0.753080i
\(401\) 6.39743 1.12804i 0.319472 0.0563316i −0.0116126 0.999933i \(-0.503696\pi\)
0.331085 + 0.943601i \(0.392585\pi\)
\(402\) 23.7795 + 42.0055i 1.18601 + 2.09504i
\(403\) 0.0276727 + 0.0232202i 0.00137848 + 0.00115668i
\(404\) 17.7940 30.8202i 0.885286 1.53336i
\(405\) 3.46399 + 24.4693i 0.172127 + 1.21589i
\(406\) 7.05013 + 22.5715i 0.349892 + 1.12020i
\(407\) 2.74878 + 7.55222i 0.136252 + 0.374350i
\(408\) 26.3750 44.8016i 1.30576 2.21801i
\(409\) −5.29809 + 14.5564i −0.261974 + 0.719766i 0.737061 + 0.675827i \(0.236213\pi\)
−0.999034 + 0.0439398i \(0.986009\pi\)
\(410\) −29.7174 35.4158i −1.46764 1.74906i
\(411\) −5.13359 + 27.7372i −0.253221 + 1.36818i
\(412\) −2.73745 + 3.26237i −0.134865 + 0.160725i
\(413\) −18.7754 + 20.3795i −0.923875 + 1.00281i
\(414\) −29.1361 + 48.5457i −1.43196 + 2.38589i
\(415\) −31.2021 −1.53165
\(416\) −0.380244 + 0.138398i −0.0186430 + 0.00678550i
\(417\) −15.7919 5.89983i −0.773333 0.288916i
\(418\) −35.2990 42.0677i −1.72653 2.05760i
\(419\) 14.7586 + 5.37170i 0.721006 + 0.262425i 0.676353 0.736578i \(-0.263559\pi\)
0.0446532 + 0.999003i \(0.485782\pi\)
\(420\) −54.2761 2.97709i −2.64840 0.145267i
\(421\) −2.01941 + 11.4527i −0.0984202 + 0.558168i 0.895225 + 0.445614i \(0.147014\pi\)
−0.993646 + 0.112555i \(0.964097\pi\)
\(422\) 24.3443i 1.18506i
\(423\) −2.88296 + 14.8714i −0.140174 + 0.723073i
\(424\) −25.3230 −1.22980
\(425\) 12.2849 4.47135i 0.595907 0.216892i
\(426\) −17.8601 + 20.9221i −0.865325 + 1.01368i
\(427\) 1.40492 + 2.71663i 0.0679890 + 0.131467i
\(428\) 35.9262 + 42.8152i 1.73656 + 2.06955i
\(429\) −0.735139 + 0.416165i −0.0354929 + 0.0200927i
\(430\) 10.5047 12.5190i 0.506581 0.603720i
\(431\) −12.5999 + 7.27456i −0.606916 + 0.350403i −0.771758 0.635917i \(-0.780622\pi\)
0.164841 + 0.986320i \(0.447289\pi\)
\(432\) −20.7135 + 23.4479i −0.996579 + 1.12814i
\(433\) 12.8056i 0.615396i −0.951484 0.307698i \(-0.900441\pi\)
0.951484 0.307698i \(-0.0995587\pi\)
\(434\) −0.794279 + 1.90308i −0.0381266 + 0.0913507i
\(435\) 8.33014 + 14.7148i 0.399400 + 0.705523i
\(436\) 2.84379 + 16.1280i 0.136193 + 0.772389i
\(437\) 30.0107 25.1820i 1.43561 1.20462i
\(438\) 3.75520 + 10.5959i 0.179430 + 0.506292i
\(439\) 10.3334 + 28.3908i 0.493187 + 1.35502i 0.897748 + 0.440509i \(0.145202\pi\)
−0.404561 + 0.914511i \(0.632576\pi\)
\(440\) −33.5168 + 58.0528i −1.59785 + 2.76756i
\(441\) 5.88667 20.1581i 0.280318 0.959907i
\(442\) 0.753770 + 1.30557i 0.0358532 + 0.0620995i
\(443\) −16.6774 + 19.8753i −0.792367 + 0.944306i −0.999421 0.0340234i \(-0.989168\pi\)
0.207054 + 0.978329i \(0.433612\pi\)
\(444\) −14.1676 + 2.37450i −0.672366 + 0.112689i
\(445\) 0.435656 + 2.47073i 0.0206521 + 0.117124i
\(446\) 54.1959 45.4758i 2.56625 2.15334i
\(447\) 27.1871 + 10.1571i 1.28591 + 0.480412i
\(448\) 5.31473 + 6.96497i 0.251098 + 0.329064i
\(449\) 4.52779 2.61412i 0.213680 0.123368i −0.389341 0.921094i \(-0.627297\pi\)
0.603020 + 0.797726i \(0.293964\pi\)
\(450\) −18.9191 + 3.00623i −0.891856 + 0.141715i
\(451\) 28.0353i 1.32013i
\(452\) 11.4910 + 2.02617i 0.540490 + 0.0953029i
\(453\) −16.8317 + 19.7175i −0.790824 + 0.926407i
\(454\) 18.9680 3.34458i 0.890214 0.156969i
\(455\) 0.456722 0.712676i 0.0214114 0.0334108i
\(456\) 45.8712 25.9679i 2.14812 1.21606i
\(457\) 6.70647 38.0343i 0.313715 1.77917i −0.265620 0.964078i \(-0.585576\pi\)
0.579335 0.815090i \(-0.303312\pi\)
\(458\) −17.8716 30.9545i −0.835085 1.44641i
\(459\) 22.8135 + 13.9565i 1.06484 + 0.651435i
\(460\) −77.1194 44.5249i −3.59571 2.07598i
\(461\) 15.4949 5.63970i 0.721671 0.262667i 0.0450362 0.998985i \(-0.485660\pi\)
0.676635 + 0.736318i \(0.263437\pi\)
\(462\) −35.1886 32.9745i −1.63712 1.53411i
\(463\) 31.2960 26.2605i 1.45445 1.22043i 0.525198 0.850980i \(-0.323991\pi\)
0.929251 0.369448i \(-0.120453\pi\)
\(464\) −7.32153 + 20.1157i −0.339893 + 0.933850i
\(465\) −0.268360 + 1.44997i −0.0124449 + 0.0672409i
\(466\) −9.81814 + 55.6814i −0.454816 + 2.57939i
\(467\) 19.3503 + 33.5157i 0.895424 + 1.55092i 0.833279 + 0.552852i \(0.186461\pi\)
0.0621443 + 0.998067i \(0.480206\pi\)
\(468\) −0.492303 1.42742i −0.0227567 0.0659827i
\(469\) −8.74441 27.9958i −0.403779 1.29273i
\(470\) −34.3267 6.05273i −1.58337 0.279192i
\(471\) 5.24123 + 1.95812i 0.241503 + 0.0902253i
\(472\) −60.1508 + 10.6062i −2.76866 + 0.488190i
\(473\) 9.75955 1.72087i 0.448744 0.0791258i
\(474\) −11.3651 67.8104i −0.522015 3.11463i
\(475\) 13.0537 + 2.30173i 0.598947 + 0.105610i
\(476\) −39.8576 + 43.2630i −1.82687 + 1.98296i
\(477\) 0.220806 13.0248i 0.0101100 0.596364i
\(478\) 29.9537 + 51.8813i 1.37005 + 2.37300i
\(479\) 5.01429 28.4374i 0.229109 1.29934i −0.625564 0.780172i \(-0.715131\pi\)
0.854673 0.519167i \(-0.173758\pi\)
\(480\) −12.5629 10.7243i −0.573417 0.489495i
\(481\) 0.0765089 0.210206i 0.00348850 0.00958459i
\(482\) −26.1188 + 21.9163i −1.18968 + 0.998260i
\(483\) 23.5237 25.1032i 1.07037 1.14224i
\(484\) −26.4778 + 9.63714i −1.20354 + 0.438052i
\(485\) −14.2013 8.19912i −0.644848 0.372303i
\(486\) −28.9258 26.4389i −1.31210 1.19929i
\(487\) 10.6879 + 18.5119i 0.484313 + 0.838854i 0.999838 0.0180204i \(-0.00573637\pi\)
−0.515525 + 0.856875i \(0.672403\pi\)
\(488\) −1.17063 + 6.63899i −0.0529921 + 0.300533i
\(489\) −0.113218 + 13.3579i −0.00511991 + 0.604064i
\(490\) 46.6067 + 12.7571i 2.10548 + 0.576307i
\(491\) −17.7129 + 3.12326i −0.799372 + 0.140951i −0.558390 0.829579i \(-0.688581\pi\)
−0.240982 + 0.970530i \(0.577469\pi\)
\(492\) 49.2737 + 9.11955i 2.22143 + 0.411141i
\(493\) 18.0206 + 3.17752i 0.811606 + 0.143108i
\(494\) 1.52850i 0.0687705i
\(495\) −29.5669 17.7454i −1.32894 0.797597i
\(496\) −1.61672 + 0.933411i −0.0725927 + 0.0419114i
\(497\) 13.2881 10.1397i 0.596054 0.454829i
\(498\) 38.1702 31.4812i 1.71045 1.41071i
\(499\) −8.16488 + 6.85115i −0.365510 + 0.306700i −0.806983 0.590575i \(-0.798901\pi\)
0.441472 + 0.897275i \(0.354456\pi\)
\(500\) 5.06696 + 28.7362i 0.226602 + 1.28512i
\(501\) −1.81711 2.20320i −0.0811825 0.0984318i
\(502\) −15.4240 + 18.3816i −0.688405 + 0.820410i
\(503\) 1.68293 + 2.91493i 0.0750383 + 0.129970i 0.901103 0.433605i \(-0.142759\pi\)
−0.826065 + 0.563575i \(0.809425\pi\)
\(504\) 37.2695 27.4521i 1.66011 1.22282i
\(505\) −11.3109 + 19.5911i −0.503328 + 0.871790i
\(506\) −27.0201 74.2370i −1.20119 3.30024i
\(507\) −22.1175 4.09350i −0.982274 0.181799i
\(508\) 4.09961 3.43998i 0.181891 0.152624i
\(509\) 1.45437 + 8.24815i 0.0644639 + 0.365593i 0.999926 + 0.0121658i \(0.00387258\pi\)
−0.935462 + 0.353427i \(0.885016\pi\)
\(510\) −31.2196 + 53.0309i −1.38243 + 2.34825i
\(511\) −0.873387 6.77466i −0.0386364 0.299693i
\(512\) 49.3168i 2.17951i
\(513\) 12.9565 + 23.8201i 0.572044 + 1.05168i
\(514\) 12.0415 6.95217i 0.531128 0.306647i
\(515\) 1.74008 2.07375i 0.0766771 0.0913802i
\(516\) −0.150129 + 17.7128i −0.00660907 + 0.779761i
\(517\) −13.5866 16.1919i −0.597538 0.712118i
\(518\) 12.7562 + 0.591297i 0.560477 + 0.0259801i
\(519\) 31.1361 + 5.76266i 1.36672 + 0.252953i
\(520\) 1.75327 0.638139i 0.0768861 0.0279842i
\(521\) −16.2480 −0.711838 −0.355919 0.934517i \(-0.615832\pi\)
−0.355919 + 0.934517i \(0.615832\pi\)
\(522\) −25.0370 9.59636i −1.09584 0.420021i
\(523\) 28.2596i 1.23571i 0.786294 + 0.617853i \(0.211997\pi\)
−0.786294 + 0.617853i \(0.788003\pi\)
\(524\) −5.62005 + 31.8729i −0.245513 + 1.39237i
\(525\) 11.6225 + 0.637505i 0.507248 + 0.0278230i
\(526\) 19.7653 + 7.19397i 0.861806 + 0.313672i
\(527\) 1.02574 + 1.22243i 0.0446820 + 0.0532499i
\(528\) −7.21605 43.0550i −0.314038 1.87373i
\(529\) 31.3472 11.4094i 1.36292 0.496062i
\(530\) 29.9744 1.30201
\(531\) −4.93076 31.0308i −0.213977 1.34662i
\(532\) −56.9299 + 17.7819i −2.46822 + 0.770942i
\(533\) −0.501584 + 0.597765i −0.0217260 + 0.0258921i
\(534\) −3.02578 2.58295i −0.130938 0.111775i
\(535\) −22.8367 27.2158i −0.987319 1.17664i
\(536\) 22.1113 60.7502i 0.955062 2.62401i
\(537\) −7.30969 0.0619553i −0.315437 0.00267357i
\(538\) −16.3783 44.9990i −0.706119 1.94005i
\(539\) 16.6778 + 24.0929i 0.718363 + 1.03775i
\(540\) 40.8064 46.1933i 1.75603 1.98784i
\(541\) 3.36773 5.83309i 0.144790 0.250784i −0.784504 0.620123i \(-0.787083\pi\)
0.929295 + 0.369339i \(0.120416\pi\)
\(542\) 48.1325 + 40.3880i 2.06747 + 1.73481i
\(543\) 19.0243 + 0.161246i 0.816411 + 0.00691971i
\(544\) −17.6036 + 3.10398i −0.754746 + 0.133082i
\(545\) −1.80768 10.2518i −0.0774324 0.439141i
\(546\) 0.160333 + 1.33264i 0.00686164 + 0.0570318i
\(547\) −31.5987 26.5144i −1.35106 1.13368i −0.978633 0.205615i \(-0.934080\pi\)
−0.372429 0.928061i \(-0.621475\pi\)
\(548\) 60.9272 35.1764i 2.60268 1.50266i
\(549\) −3.40453 0.660000i −0.145302 0.0281681i
\(550\) 13.3649 23.1487i 0.569881 0.987063i
\(551\) 14.2124 + 11.9256i 0.605469 + 0.508049i
\(552\) 74.7877 12.5345i 3.18318 0.533503i
\(553\) −1.93448 + 41.7332i −0.0822627 + 1.77468i
\(554\) −19.1953 + 52.7386i −0.815530 + 2.24065i
\(555\) 9.00575 1.50937i 0.382273 0.0640692i
\(556\) 14.3801 + 39.5090i 0.609852 + 1.67555i
\(557\) −5.64369 3.25839i −0.239131 0.138062i 0.375646 0.926763i \(-0.377421\pi\)
−0.614777 + 0.788701i \(0.710754\pi\)
\(558\) −1.13465 2.04455i −0.0480337 0.0865526i
\(559\) −0.238880 0.137917i −0.0101036 0.00583329i
\(560\) 26.5360 + 34.7755i 1.12135 + 1.46953i
\(561\) −35.1734 + 12.4655i −1.48502 + 0.526294i
\(562\) −28.1554 10.2477i −1.18766 0.432274i
\(563\) 25.6976 + 9.35315i 1.08302 + 0.394188i 0.821032 0.570882i \(-0.193399\pi\)
0.261991 + 0.965070i \(0.415621\pi\)
\(564\) 32.8777 18.6122i 1.38440 0.783716i
\(565\) −7.30431 1.28795i −0.307295 0.0541844i
\(566\) 10.1623 0.427155
\(567\) 13.7949 + 19.4088i 0.579332 + 0.815092i
\(568\) 36.8433 1.54591
\(569\) 28.6452 + 5.05093i 1.20087 + 0.211746i 0.738075 0.674719i \(-0.235735\pi\)
0.462796 + 0.886465i \(0.346846\pi\)
\(570\) −54.2970 + 30.7378i −2.27425 + 1.28746i
\(571\) −16.3768 5.96065i −0.685346 0.249446i −0.0242047 0.999707i \(-0.507705\pi\)
−0.661141 + 0.750262i \(0.729928\pi\)
\(572\) 1.97981 + 0.720593i 0.0827801 + 0.0301295i
\(573\) 16.5842 5.87748i 0.692817 0.245535i
\(574\) −41.1088 17.1574i −1.71585 0.716136i
\(575\) 16.5141 + 9.53441i 0.688685 + 0.397612i
\(576\) −9.93275 0.168387i −0.413864 0.00701614i
\(577\) −19.6718 11.3575i −0.818949 0.472821i 0.0311048 0.999516i \(-0.490097\pi\)
−0.850054 + 0.526696i \(0.823431\pi\)
\(578\) 8.15999 + 22.4194i 0.339411 + 0.932524i
\(579\) 14.7621 2.47415i 0.613494 0.102822i
\(580\) 14.4237 39.6287i 0.598911 1.64549i
\(581\) −26.7042 + 13.8102i −1.10788 + 0.572946i
\(582\) 25.6453 4.29817i 1.06303 0.178165i
\(583\) 13.9241 + 11.6837i 0.576677 + 0.483890i
\(584\) 7.52821 13.0392i 0.311519 0.539567i
\(585\) 0.312936 + 0.907352i 0.0129383 + 0.0375144i
\(586\) 3.86842 2.23344i 0.159803 0.0922624i
\(587\) 1.35014 + 1.13291i 0.0557264 + 0.0467600i 0.670225 0.742158i \(-0.266197\pi\)
−0.614499 + 0.788918i \(0.710642\pi\)
\(588\) −47.7698 + 21.4751i −1.96999 + 0.885616i
\(589\) 0.280955 + 1.59338i 0.0115766 + 0.0656539i
\(590\) 71.1994 12.5544i 2.93123 0.516856i
\(591\) −1.25027 0.0105970i −0.0514290 0.000435901i
\(592\) 8.85562 + 7.43075i 0.363964 + 0.305402i
\(593\) 20.7313 35.9077i 0.851334 1.47455i −0.0286712 0.999589i \(-0.509128\pi\)
0.880005 0.474965i \(-0.157539\pi\)
\(594\) 54.0741 8.12308i 2.21869 0.333294i
\(595\) 25.3358 27.5004i 1.03867 1.12741i
\(596\) −24.7565 68.0180i −1.01407 2.78613i
\(597\) −37.7192 0.319699i −1.54374 0.0130844i
\(598\) −0.752069 + 2.06629i −0.0307544 + 0.0844970i
\(599\) 13.6209 + 16.2328i 0.556535 + 0.663253i 0.968809 0.247807i \(-0.0797098\pi\)
−0.412274 + 0.911060i \(0.635265\pi\)
\(600\) 19.5140 + 16.6580i 0.796654 + 0.680061i
\(601\) −5.31277 + 6.33151i −0.216712 + 0.258268i −0.863438 0.504455i \(-0.831693\pi\)
0.646726 + 0.762723i \(0.276138\pi\)
\(602\) 3.44941 15.3638i 0.140588 0.626182i
\(603\) 31.0538 + 11.9026i 1.26461 + 0.484709i
\(604\) 64.6571 2.63086
\(605\) 16.8308 6.12592i 0.684270 0.249054i
\(606\) −5.92943 35.3783i −0.240867 1.43715i
\(607\) −10.1572 12.1049i −0.412267 0.491321i 0.519452 0.854499i \(-0.326136\pi\)
−0.931720 + 0.363179i \(0.881691\pi\)
\(608\) −17.0307 6.19865i −0.690684 0.251389i
\(609\) 13.6422 + 8.90669i 0.552811 + 0.360917i
\(610\) 1.38566 7.85846i 0.0561037 0.318180i
\(611\) 0.588321i 0.0238009i
\(612\) −10.4674 65.8742i −0.423118 2.66281i
\(613\) −18.8108 −0.759762 −0.379881 0.925035i \(-0.624035\pi\)
−0.379881 + 0.925035i \(0.624035\pi\)
\(614\) −46.4403 + 16.9029i −1.87418 + 0.682145i
\(615\) −31.3212 5.79690i −1.26299 0.233754i
\(616\) −2.99069 + 64.5191i −0.120498 + 2.59955i
\(617\) −1.65294 1.96989i −0.0665447 0.0793049i 0.731745 0.681578i \(-0.238706\pi\)
−0.798290 + 0.602273i \(0.794262\pi\)
\(618\) −0.0363823 + 4.29251i −0.00146351 + 0.172670i
\(619\) −10.1248 + 12.0663i −0.406951 + 0.484985i −0.930126 0.367240i \(-0.880303\pi\)
0.523175 + 0.852225i \(0.324747\pi\)
\(620\) 3.18499 1.83885i 0.127912 0.0738501i
\(621\) 5.79494 + 38.5760i 0.232543 + 1.54800i
\(622\) 66.5577i 2.66872i
\(623\) 1.46642 + 1.92174i 0.0587508 + 0.0769930i
\(624\) −0.616445 + 1.04712i −0.0246775 + 0.0419182i
\(625\) −5.42623 30.7737i −0.217049 1.23095i
\(626\) −9.70829 + 8.14622i −0.388021 + 0.325588i
\(627\) −37.2040 6.88569i −1.48578 0.274988i
\(628\) −4.77266 13.1128i −0.190450 0.523257i
\(629\) 4.94086 8.55781i 0.197005 0.341222i
\(630\) −44.1152 + 32.4946i −1.75759 + 1.29462i
\(631\) −21.8676 37.8758i −0.870536 1.50781i −0.861443 0.507855i \(-0.830439\pi\)
−0.00909374 0.999959i \(-0.502895\pi\)
\(632\) −59.1930 + 70.5435i −2.35457 + 2.80607i
\(633\) −10.6721 12.9396i −0.424177 0.514305i
\(634\) −13.4916 76.5146i −0.535819 3.03878i
\(635\) −2.60594 + 2.18665i −0.103414 + 0.0867744i
\(636\) −25.0642 + 20.6719i −0.993858 + 0.819693i
\(637\) 0.0754487 0.812090i 0.00298938 0.0321762i
\(638\) 32.4009 18.7067i 1.28276 0.740604i
\(639\) −0.321258 + 18.9502i −0.0127088 + 0.749658i
\(640\) 41.9317i 1.65750i
\(641\) 24.5241 + 4.32427i 0.968645 + 0.170798i 0.635520 0.772084i \(-0.280786\pi\)
0.333125 + 0.942883i \(0.391897\pi\)
\(642\) 55.3960 + 10.2527i 2.18631 + 0.404640i
\(643\) −22.2139 + 3.91690i −0.876029 + 0.154468i −0.593542 0.804803i \(-0.702271\pi\)
−0.282488 + 0.959271i \(0.591160\pi\)
\(644\) −85.7095 3.97294i −3.37743 0.156556i
\(645\) 0.0954307 11.2592i 0.00375758 0.443332i
\(646\) −11.7249 + 66.4950i −0.461308 + 2.61621i
\(647\) 1.19357 + 2.06732i 0.0469239 + 0.0812747i 0.888533 0.458812i \(-0.151725\pi\)
−0.841609 + 0.540087i \(0.818391\pi\)
\(648\) −1.77907 + 52.4562i −0.0698883 + 2.06067i
\(649\) 37.9680 + 21.9208i 1.49038 + 0.860468i
\(650\) −0.699122 + 0.254459i −0.0274218 + 0.00998072i
\(651\) 0.412093 + 1.35973i 0.0161512 + 0.0532921i
\(652\) 25.5218 21.4153i 0.999509 0.838688i
\(653\) −12.6049 + 34.6318i −0.493269 + 1.35525i 0.404403 + 0.914581i \(0.367479\pi\)
−0.897672 + 0.440665i \(0.854743\pi\)
\(654\) 12.5549 + 10.7175i 0.490937 + 0.419087i
\(655\) 3.57242 20.2602i 0.139586 0.791633i
\(656\) −20.1628 34.9230i −0.787226 1.36352i
\(657\) 6.64103 + 3.98580i 0.259091 + 0.155501i
\(658\) −32.0574 + 10.0130i −1.24973 + 0.390349i
\(659\) −7.39431 1.30382i −0.288041 0.0507895i 0.0277605 0.999615i \(-0.491162\pi\)
−0.315802 + 0.948825i \(0.602274\pi\)
\(660\) 14.2159 + 84.8199i 0.553353 + 3.30161i
\(661\) −8.19948 + 1.44579i −0.318923 + 0.0562347i −0.330818 0.943695i \(-0.607325\pi\)
0.0118952 + 0.999929i \(0.496214\pi\)
\(662\) 40.6073 7.16016i 1.57825 0.278288i
\(663\) 0.972985 + 0.363506i 0.0377876 + 0.0141174i
\(664\) −65.2606 11.5072i −2.53260 0.446566i
\(665\) 36.1879 11.3032i 1.40331 0.438318i
\(666\) −9.49408 + 10.9328i −0.367888 + 0.423636i
\(667\) 13.3452 + 23.1145i 0.516727 + 0.894998i
\(668\) −1.23684 + 7.01445i −0.0478546 + 0.271397i
\(669\) 8.87085 47.9300i 0.342967 1.85308i
\(670\) −26.1727 + 71.9090i −1.01114 + 2.77809i
\(671\) 3.70683 3.11040i 0.143100 0.120076i
\(672\) −15.4986 3.61792i −0.597871 0.139564i
\(673\) 36.7067 13.3601i 1.41494 0.514995i 0.482363 0.875971i \(-0.339779\pi\)
0.932575 + 0.360976i \(0.117556\pi\)
\(674\) 3.12535 + 1.80442i 0.120384 + 0.0695038i
\(675\) −8.73814 + 9.89167i −0.336331 + 0.380731i
\(676\) 28.0494 + 48.5830i 1.07882 + 1.86858i
\(677\) −3.32662 + 18.8662i −0.127852 + 0.725087i 0.851720 + 0.523997i \(0.175560\pi\)
−0.979573 + 0.201090i \(0.935552\pi\)
\(678\) 10.2350 5.79408i 0.393073 0.222520i
\(679\) −15.7831 0.731604i −0.605701 0.0280764i
\(680\) 81.1684 14.3122i 3.11267 0.548847i
\(681\) 8.61581 10.0929i 0.330159 0.386763i
\(682\) 3.21315 + 0.566564i 0.123038 + 0.0216949i
\(683\) 41.1007i 1.57268i −0.617796 0.786338i \(-0.711974\pi\)
0.617796 0.786338i \(-0.288026\pi\)
\(684\) 24.2040 63.1484i 0.925463 2.41454i
\(685\) −38.7288 + 22.3601i −1.47975 + 0.854335i
\(686\) 45.5346 9.71034i 1.73852 0.370743i
\(687\) −23.0691 8.61858i −0.880141 0.328819i
\(688\) 10.9196 9.16266i 0.416307 0.349323i
\(689\) −0.0878526 0.498237i −0.00334692 0.0189813i
\(690\) −88.5249 + 14.8368i −3.37009 + 0.564829i
\(691\) 27.2928 32.5263i 1.03827 1.23736i 0.0674047 0.997726i \(-0.478528\pi\)
0.970863 0.239634i \(-0.0770274\pi\)
\(692\) −39.4868 68.3932i −1.50106 2.59992i
\(693\) −33.1590 2.10083i −1.25961 0.0798038i
\(694\) −8.00228 + 13.8604i −0.303763 + 0.526132i
\(695\) −9.14080 25.1141i −0.346730 0.952634i
\(696\) 11.9961 + 33.8490i 0.454711 + 1.28304i
\(697\) −26.4060 + 22.1573i −1.00020 + 0.839266i
\(698\) 3.82508 + 21.6931i 0.144781 + 0.821097i
\(699\) 19.1911 + 33.9002i 0.725873 + 1.28222i
\(700\) −17.6107 23.0789i −0.665624 0.872301i
\(701\) 18.1159i 0.684229i −0.939658 0.342114i \(-0.888857\pi\)
0.939658 0.342114i \(-0.111143\pi\)
\(702\) −1.29829 0.794250i −0.0490009 0.0299770i
\(703\) 8.67679 5.00955i 0.327252 0.188939i
\(704\) 8.91004 10.6186i 0.335810 0.400202i
\(705\) −20.8990 + 11.8310i −0.787100 + 0.445581i
\(706\) 3.54983 + 4.23052i 0.133600 + 0.159218i
\(707\) −1.00927 + 21.7732i −0.0379574 + 0.818867i
\(708\) −50.8777 + 59.6004i −1.91210 + 2.23992i
\(709\) 8.87470 3.23013i 0.333296 0.121310i −0.169951 0.985453i \(-0.554361\pi\)
0.503247 + 0.864143i \(0.332139\pi\)
\(710\) −43.6108 −1.63668
\(711\) −35.7676 31.0608i −1.34139 1.16487i
\(712\) 5.32832i 0.199687i
\(713\) −0.404182 + 2.29223i −0.0151367 + 0.0858448i
\(714\) −3.24741 + 59.2044i −0.121531 + 2.21567i
\(715\) −1.25848 0.458050i −0.0470645 0.0171301i
\(716\) 11.7189 + 13.9660i 0.437955 + 0.521934i
\(717\) 38.6649 + 14.4452i 1.44397 + 0.539465i
\(718\) 31.4675 11.4532i 1.17436 0.427431i
\(719\) −14.5552 −0.542817 −0.271408 0.962464i \(-0.587489\pi\)
−0.271408 + 0.962464i \(0.587489\pi\)
\(720\) −49.5933 0.840744i −1.84823 0.0313327i
\(721\) 0.571388 2.54498i 0.0212796 0.0947801i
\(722\) −13.3025 + 15.8533i −0.495068 + 0.589999i
\(723\) −4.27516 + 23.0991i −0.158995 + 0.859064i
\(724\) −30.4997 36.3481i −1.13351 1.35087i
\(725\) −3.08864 + 8.48596i −0.114709 + 0.315161i
\(726\) −14.4088 + 24.4754i −0.534762 + 0.908366i
\(727\) 5.63920 + 15.4936i 0.209146 + 0.574625i 0.999265 0.0383287i \(-0.0122034\pi\)
−0.790119 + 0.612954i \(0.789981\pi\)
\(728\) 1.21809 1.32216i 0.0451454 0.0490025i
\(729\) −26.9651 1.37245i −0.998707 0.0508315i
\(730\) −8.91101 + 15.4343i −0.329811 + 0.571250i
\(731\) −9.33416 7.83229i −0.345236 0.289688i
\(732\) 4.26092 + 7.52674i 0.157488 + 0.278196i
\(733\) 30.6823 5.41012i 1.13328 0.199827i 0.424614 0.905374i \(-0.360410\pi\)
0.708663 + 0.705547i \(0.249299\pi\)
\(734\) 4.65451 + 26.3970i 0.171801 + 0.974332i
\(735\) 30.3652 13.6508i 1.12004 0.503516i
\(736\) −19.9728 16.7592i −0.736209 0.617753i
\(737\) −40.1874 + 23.2022i −1.48032 + 0.854665i
\(738\) 44.1647 24.5099i 1.62573 0.902222i
\(739\) 2.09919 3.63590i 0.0772198 0.133749i −0.824830 0.565381i \(-0.808729\pi\)
0.902049 + 0.431633i \(0.142062\pi\)
\(740\) −17.4459 14.6388i −0.641324 0.538134i
\(741\) 0.670065 + 0.812438i 0.0246155 + 0.0298457i
\(742\) 25.6535 13.2669i 0.941771 0.487043i
\(743\) −15.8926 + 43.6646i −0.583044 + 1.60190i 0.199906 + 0.979815i \(0.435936\pi\)
−0.782950 + 0.622085i \(0.786286\pi\)
\(744\) −1.09603 + 2.93372i −0.0401825 + 0.107555i
\(745\) 15.7367 + 43.2361i 0.576547 + 1.58405i
\(746\) −30.4806 17.5980i −1.11597 0.644308i
\(747\) 6.48773 33.4662i 0.237374 1.22446i
\(748\) 80.6011 + 46.5351i 2.94707 + 1.70149i
\(749\) −31.5907 13.1848i −1.15430 0.481764i
\(750\) 22.3699 + 19.0960i 0.816834 + 0.697287i
\(751\) −48.5632 17.6756i −1.77210 0.644990i −0.999954 0.00954055i \(-0.996963\pi\)
−0.772142 0.635450i \(-0.780815\pi\)
\(752\) −28.5697 10.3985i −1.04183 0.379194i
\(753\) −0.140120 + 16.5319i −0.00510627 + 0.602455i
\(754\) −1.02553 0.180829i −0.0373476 0.00658540i
\(755\) −41.0997 −1.49577
\(756\) 14.4786 57.5956i 0.526580 2.09473i
\(757\) −34.5687 −1.25642 −0.628210 0.778044i \(-0.716212\pi\)
−0.628210 + 0.778044i \(0.716212\pi\)
\(758\) 85.6855 + 15.1087i 3.11224 + 0.548772i
\(759\) −46.9060 27.6139i −1.70258 1.00232i
\(760\) 78.5268 + 28.5814i 2.84847 + 1.03676i
\(761\) −8.42366 3.06596i −0.305357 0.111141i 0.184797 0.982777i \(-0.440837\pi\)
−0.490154 + 0.871636i \(0.663060\pi\)
\(762\) 0.981704 5.30423i 0.0355634 0.192152i
\(763\) −6.08463 7.97393i −0.220279 0.288675i
\(764\) −38.0034 21.9413i −1.37491 0.793807i
\(765\) 6.65365 + 41.8734i 0.240563 + 1.51394i
\(766\) 36.8448 + 21.2724i 1.33126 + 0.768602i
\(767\) −0.417359 1.14669i −0.0150700 0.0414044i
\(768\) 35.0082 + 42.4466i 1.26325 + 1.53166i
\(769\) −2.93294 + 8.05819i −0.105765 + 0.290586i −0.981275 0.192614i \(-0.938303\pi\)
0.875510 + 0.483200i \(0.160526\pi\)
\(770\) 3.54003 76.3701i 0.127574 2.75219i
\(771\) 3.35268 8.97403i 0.120744 0.323192i
\(772\) −28.5971 23.9959i −1.02923 0.863630i
\(773\) −0.449480 + 0.778522i −0.0161667 + 0.0280015i −0.873996