Properties

Label 144.2.u.a.83.2
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.2
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41340 + 0.0478411i) q^{2} +(1.72804 - 0.117756i) q^{3} +(1.99542 - 0.135238i) q^{4} +(-0.961558 + 3.58858i) q^{5} +(-2.43679 + 0.249108i) q^{6} +(-1.29216 + 2.23809i) q^{7} +(-2.81387 + 0.286608i) q^{8} +(2.97227 - 0.406975i) q^{9} +O(q^{10})\) \(q+(-1.41340 + 0.0478411i) q^{2} +(1.72804 - 0.117756i) q^{3} +(1.99542 - 0.135238i) q^{4} +(-0.961558 + 3.58858i) q^{5} +(-2.43679 + 0.249108i) q^{6} +(-1.29216 + 2.23809i) q^{7} +(-2.81387 + 0.286608i) q^{8} +(2.97227 - 0.406975i) q^{9} +(1.18739 - 5.11812i) q^{10} +(-0.541286 - 2.02011i) q^{11} +(3.43225 - 0.468669i) q^{12} +(0.267433 - 0.998074i) q^{13} +(1.71927 - 3.22514i) q^{14} +(-1.23904 + 6.31446i) q^{15} +(3.96342 - 0.539712i) q^{16} +4.13788i q^{17} +(-4.18154 + 0.717416i) q^{18} +(2.49279 - 2.49279i) q^{19} +(-1.43340 + 7.29078i) q^{20} +(-1.96936 + 4.01968i) q^{21} +(0.861700 + 2.82933i) q^{22} +(7.01915 - 4.05251i) q^{23} +(-4.82874 + 0.826622i) q^{24} +(-7.62322 - 4.40127i) q^{25} +(-0.330242 + 1.42348i) q^{26} +(5.08828 - 1.05327i) q^{27} +(-2.27574 + 4.64068i) q^{28} +(-1.88218 - 7.02439i) q^{29} +(1.44917 - 8.98416i) q^{30} +(2.03331 - 1.17393i) q^{31} +(-5.57610 + 0.952446i) q^{32} +(-1.17324 - 3.42709i) q^{33} +(-0.197961 - 5.84850i) q^{34} +(-6.78909 - 6.78909i) q^{35} +(5.87589 - 1.21405i) q^{36} +(-4.75590 + 4.75590i) q^{37} +(-3.40407 + 3.64258i) q^{38} +(0.344607 - 1.75621i) q^{39} +(1.67718 - 10.3734i) q^{40} +(-0.636217 - 1.10196i) q^{41} +(2.59120 - 5.77564i) q^{42} +(-1.45505 + 0.389880i) q^{43} +(-1.35329 - 3.95776i) q^{44} +(-1.39754 + 11.0576i) q^{45} +(-9.72701 + 6.06363i) q^{46} +(3.60814 - 6.24948i) q^{47} +(6.78541 - 1.39936i) q^{48} +(0.160635 + 0.278228i) q^{49} +(10.9852 + 5.85607i) q^{50} +(0.487260 + 7.15044i) q^{51} +(0.398665 - 2.02775i) q^{52} +(-0.546616 - 0.546616i) q^{53} +(-7.14141 + 1.73213i) q^{54} +7.76980 q^{55} +(2.99452 - 6.66804i) q^{56} +(4.01411 - 4.60119i) q^{57} +(2.99634 + 9.83826i) q^{58} +(-8.00411 - 2.14469i) q^{59} +(-1.61845 + 12.7676i) q^{60} +(-6.77407 + 1.81511i) q^{61} +(-2.81773 + 1.75652i) q^{62} +(-2.92980 + 7.17808i) q^{63} +(7.83571 - 1.61296i) q^{64} +(3.32452 + 1.91941i) q^{65} +(1.82222 + 4.78774i) q^{66} +(-2.80643 - 0.751980i) q^{67} +(0.559597 + 8.25682i) q^{68} +(11.6522 - 7.82945i) q^{69} +(9.92052 + 9.27093i) q^{70} +6.59449i q^{71} +(-8.24693 + 1.99705i) q^{72} +8.78699i q^{73} +(6.49448 - 6.94954i) q^{74} +(-13.6915 - 6.70790i) q^{75} +(4.63706 - 5.31129i) q^{76} +(5.22061 + 1.39886i) q^{77} +(-0.403050 + 2.49872i) q^{78} +(-5.64940 - 3.26168i) q^{79} +(-1.87426 + 14.7420i) q^{80} +(8.66874 - 2.41928i) q^{81} +(0.951950 + 1.52708i) q^{82} +(7.71754 - 2.06791i) q^{83} +(-3.38610 + 8.28728i) q^{84} +(-14.8491 - 3.97882i) q^{85} +(2.03793 - 0.620670i) q^{86} +(-4.07965 - 11.9168i) q^{87} +(2.10209 + 5.52918i) q^{88} +14.1938 q^{89} +(1.44629 - 15.6957i) q^{90} +(1.88821 + 1.88821i) q^{91} +(13.4581 - 9.03571i) q^{92} +(3.37542 - 2.26805i) q^{93} +(-4.80077 + 9.00565i) q^{94} +(6.54863 + 11.3426i) q^{95} +(-9.52358 + 2.30249i) q^{96} +(6.54551 - 11.3372i) q^{97} +(-0.240353 - 0.385564i) q^{98} +(-2.43098 - 5.78401i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41340 + 0.0478411i −0.999428 + 0.0338287i
\(3\) 1.72804 0.117756i 0.997686 0.0679864i
\(4\) 1.99542 0.135238i 0.997711 0.0676188i
\(5\) −0.961558 + 3.58858i −0.430022 + 1.60486i 0.322684 + 0.946507i \(0.395415\pi\)
−0.752706 + 0.658357i \(0.771252\pi\)
\(6\) −2.43679 + 0.249108i −0.994815 + 0.101698i
\(7\) −1.29216 + 2.23809i −0.488391 + 0.845919i −0.999911 0.0133531i \(-0.995749\pi\)
0.511520 + 0.859272i \(0.329083\pi\)
\(8\) −2.81387 + 0.286608i −0.994853 + 0.101331i
\(9\) 2.97227 0.406975i 0.990756 0.135658i
\(10\) 1.18739 5.11812i 0.375485 1.61849i
\(11\) −0.541286 2.02011i −0.163204 0.609085i −0.998262 0.0589240i \(-0.981233\pi\)
0.835059 0.550161i \(-0.185434\pi\)
\(12\) 3.43225 0.468669i 0.990806 0.135293i
\(13\) 0.267433 0.998074i 0.0741726 0.276816i −0.918872 0.394556i \(-0.870898\pi\)
0.993044 + 0.117740i \(0.0375650\pi\)
\(14\) 1.71927 3.22514i 0.459495 0.861956i
\(15\) −1.23904 + 6.31446i −0.319918 + 1.63039i
\(16\) 3.96342 0.539712i 0.990855 0.134928i
\(17\) 4.13788i 1.00358i 0.864988 + 0.501792i \(0.167326\pi\)
−0.864988 + 0.501792i \(0.832674\pi\)
\(18\) −4.18154 + 0.717416i −0.985599 + 0.169097i
\(19\) 2.49279 2.49279i 0.571886 0.571886i −0.360769 0.932655i \(-0.617486\pi\)
0.932655 + 0.360769i \(0.117486\pi\)
\(20\) −1.43340 + 7.29078i −0.320519 + 1.63027i
\(21\) −1.96936 + 4.01968i −0.429750 + 0.877165i
\(22\) 0.861700 + 2.82933i 0.183715 + 0.603215i
\(23\) 7.01915 4.05251i 1.46359 0.845006i 0.464418 0.885616i \(-0.346264\pi\)
0.999175 + 0.0406102i \(0.0129302\pi\)
\(24\) −4.82874 + 0.826622i −0.985662 + 0.168733i
\(25\) −7.62322 4.40127i −1.52464 0.880253i
\(26\) −0.330242 + 1.42348i −0.0647658 + 0.279167i
\(27\) 5.08828 1.05327i 0.979240 0.202702i
\(28\) −2.27574 + 4.64068i −0.430074 + 0.877007i
\(29\) −1.88218 7.02439i −0.349512 1.30440i −0.887252 0.461286i \(-0.847388\pi\)
0.537740 0.843111i \(-0.319278\pi\)
\(30\) 1.44917 8.98416i 0.264581 1.64028i
\(31\) 2.03331 1.17393i 0.365194 0.210845i −0.306163 0.951979i \(-0.599045\pi\)
0.671357 + 0.741134i \(0.265712\pi\)
\(32\) −5.57610 + 0.952446i −0.985724 + 0.168370i
\(33\) −1.17324 3.42709i −0.204236 0.596580i
\(34\) −0.197961 5.84850i −0.0339500 1.00301i
\(35\) −6.78909 6.78909i −1.14757 1.14757i
\(36\) 5.87589 1.21405i 0.979315 0.202341i
\(37\) −4.75590 + 4.75590i −0.781865 + 0.781865i −0.980145 0.198280i \(-0.936464\pi\)
0.198280 + 0.980145i \(0.436464\pi\)
\(38\) −3.40407 + 3.64258i −0.552212 + 0.590905i
\(39\) 0.344607 1.75621i 0.0551813 0.281218i
\(40\) 1.67718 10.3734i 0.265185 1.64018i
\(41\) −0.636217 1.10196i −0.0993604 0.172097i 0.812060 0.583574i \(-0.198346\pi\)
−0.911420 + 0.411477i \(0.865013\pi\)
\(42\) 2.59120 5.77564i 0.399831 0.891201i
\(43\) −1.45505 + 0.389880i −0.221894 + 0.0594562i −0.368053 0.929805i \(-0.619975\pi\)
0.146159 + 0.989261i \(0.453309\pi\)
\(44\) −1.35329 3.95776i −0.204016 0.596655i
\(45\) −1.39754 + 11.0576i −0.208334 + 1.64836i
\(46\) −9.72701 + 6.06363i −1.43417 + 0.894034i
\(47\) 3.60814 6.24948i 0.526301 0.911580i −0.473230 0.880939i \(-0.656912\pi\)
0.999530 0.0306407i \(-0.00975476\pi\)
\(48\) 6.78541 1.39936i 0.979390 0.201981i
\(49\) 0.160635 + 0.278228i 0.0229479 + 0.0397469i
\(50\) 10.9852 + 5.85607i 1.55355 + 0.828173i
\(51\) 0.487260 + 7.15044i 0.0682301 + 1.00126i
\(52\) 0.398665 2.02775i 0.0552849 0.281198i
\(53\) −0.546616 0.546616i −0.0750835 0.0750835i 0.668568 0.743651i \(-0.266908\pi\)
−0.743651 + 0.668568i \(0.766908\pi\)
\(54\) −7.14141 + 1.73213i −0.971823 + 0.235713i
\(55\) 7.76980 1.04768
\(56\) 2.99452 6.66804i 0.400159 0.891054i
\(57\) 4.01411 4.60119i 0.531682 0.609443i
\(58\) 2.99634 + 9.83826i 0.393438 + 1.29183i
\(59\) −8.00411 2.14469i −1.04205 0.279215i −0.303085 0.952963i \(-0.598017\pi\)
−0.738961 + 0.673748i \(0.764683\pi\)
\(60\) −1.61845 + 12.7676i −0.208941 + 1.64829i
\(61\) −6.77407 + 1.81511i −0.867331 + 0.232401i −0.664933 0.746903i \(-0.731540\pi\)
−0.202398 + 0.979303i \(0.564873\pi\)
\(62\) −2.81773 + 1.75652i −0.357852 + 0.223078i
\(63\) −2.92980 + 7.17808i −0.369121 + 0.904353i
\(64\) 7.83571 1.61296i 0.979464 0.201620i
\(65\) 3.32452 + 1.91941i 0.412356 + 0.238074i
\(66\) 1.82222 + 4.78774i 0.224300 + 0.589330i
\(67\) −2.80643 0.751980i −0.342860 0.0918690i 0.0832804 0.996526i \(-0.473460\pi\)
−0.426140 + 0.904657i \(0.640127\pi\)
\(68\) 0.559597 + 8.25682i 0.0678611 + 1.00129i
\(69\) 11.6522 7.82945i 1.40276 0.942555i
\(70\) 9.92052 + 9.27093i 1.18573 + 1.10809i
\(71\) 6.59449i 0.782622i 0.920258 + 0.391311i \(0.127978\pi\)
−0.920258 + 0.391311i \(0.872022\pi\)
\(72\) −8.24693 + 1.99705i −0.971910 + 0.235355i
\(73\) 8.78699i 1.02844i 0.857658 + 0.514220i \(0.171918\pi\)
−0.857658 + 0.514220i \(0.828082\pi\)
\(74\) 6.49448 6.94954i 0.754968 0.807867i
\(75\) −13.6915 6.70790i −1.58096 0.774562i
\(76\) 4.63706 5.31129i 0.531907 0.609247i
\(77\) 5.22061 + 1.39886i 0.594944 + 0.159415i
\(78\) −0.403050 + 2.49872i −0.0456364 + 0.282924i
\(79\) −5.64940 3.26168i −0.635607 0.366968i 0.147313 0.989090i \(-0.452937\pi\)
−0.782920 + 0.622122i \(0.786271\pi\)
\(80\) −1.87426 + 14.7420i −0.209549 + 1.64821i
\(81\) 8.66874 2.41928i 0.963194 0.268808i
\(82\) 0.951950 + 1.52708i 0.105125 + 0.168637i
\(83\) 7.71754 2.06791i 0.847110 0.226982i 0.190946 0.981601i \(-0.438845\pi\)
0.656164 + 0.754618i \(0.272178\pi\)
\(84\) −3.38610 + 8.28728i −0.369454 + 0.904217i
\(85\) −14.8491 3.97882i −1.61062 0.431563i
\(86\) 2.03793 0.620670i 0.219755 0.0669286i
\(87\) −4.07965 11.9168i −0.437385 1.27762i
\(88\) 2.10209 + 5.52918i 0.224083 + 0.589412i
\(89\) 14.1938 1.50454 0.752272 0.658852i \(-0.228958\pi\)
0.752272 + 0.658852i \(0.228958\pi\)
\(90\) 1.44629 15.6957i 0.152452 1.65447i
\(91\) 1.88821 + 1.88821i 0.197939 + 0.197939i
\(92\) 13.4581 9.03571i 1.40311 0.942038i
\(93\) 3.37542 2.26805i 0.350015 0.235185i
\(94\) −4.80077 + 9.00565i −0.495162 + 0.928862i
\(95\) 6.54863 + 11.3426i 0.671875 + 1.16372i
\(96\) −9.52358 + 2.30249i −0.971996 + 0.234996i
\(97\) 6.54551 11.3372i 0.664596 1.15111i −0.314799 0.949158i \(-0.601937\pi\)
0.979395 0.201955i \(-0.0647295\pi\)
\(98\) −0.240353 0.385564i −0.0242793 0.0389478i
\(99\) −2.43098 5.78401i −0.244322 0.581314i
\(100\) −15.8068 7.75144i −1.58068 0.775144i
\(101\) −3.94498 + 1.05705i −0.392540 + 0.105181i −0.449690 0.893185i \(-0.648465\pi\)
0.0571499 + 0.998366i \(0.481799\pi\)
\(102\) −1.03078 10.0832i −0.102062 0.998381i
\(103\) 2.22868 + 3.86019i 0.219599 + 0.380356i 0.954685 0.297617i \(-0.0961918\pi\)
−0.735087 + 0.677973i \(0.762859\pi\)
\(104\) −0.466465 + 2.88510i −0.0457407 + 0.282907i
\(105\) −12.5313 10.9324i −1.22293 1.06689i
\(106\) 0.798740 + 0.746439i 0.0775805 + 0.0725005i
\(107\) −4.01417 + 4.01417i −0.388064 + 0.388064i −0.873996 0.485932i \(-0.838480\pi\)
0.485932 + 0.873996i \(0.338480\pi\)
\(108\) 10.0108 2.78985i 0.963293 0.268453i
\(109\) −6.84996 6.84996i −0.656107 0.656107i 0.298349 0.954457i \(-0.403564\pi\)
−0.954457 + 0.298349i \(0.903564\pi\)
\(110\) −10.9819 + 0.371716i −1.04708 + 0.0354417i
\(111\) −7.65837 + 8.77844i −0.726900 + 0.833212i
\(112\) −3.91346 + 9.56789i −0.369787 + 0.904081i
\(113\) −7.97546 + 4.60464i −0.750268 + 0.433168i −0.825791 0.563976i \(-0.809271\pi\)
0.0755225 + 0.997144i \(0.475938\pi\)
\(114\) −5.45344 + 6.69539i −0.510761 + 0.627080i
\(115\) 7.79344 + 29.0855i 0.726742 + 2.71224i
\(116\) −4.70571 13.7621i −0.436914 1.27778i
\(117\) 0.388692 3.07538i 0.0359346 0.284319i
\(118\) 11.4156 + 2.64840i 1.05090 + 0.243805i
\(119\) −9.26095 5.34681i −0.848950 0.490142i
\(120\) 1.67671 18.1232i 0.153062 1.65441i
\(121\) 5.73844 3.31309i 0.521676 0.301190i
\(122\) 9.48767 2.88956i 0.858973 0.261608i
\(123\) −1.22917 1.82932i −0.110831 0.164944i
\(124\) 3.89856 2.61748i 0.350101 0.235056i
\(125\) 9.98936 9.98936i 0.893475 0.893475i
\(126\) 3.79759 10.2857i 0.338316 0.916322i
\(127\) 4.75792i 0.422197i −0.977465 0.211099i \(-0.932296\pi\)
0.977465 0.211099i \(-0.0677041\pi\)
\(128\) −10.9979 + 2.65463i −0.972083 + 0.234638i
\(129\) −2.46849 + 0.845072i −0.217338 + 0.0744044i
\(130\) −4.79072 2.55386i −0.420174 0.223988i
\(131\) 2.24125 8.36446i 0.195819 0.730806i −0.796234 0.604988i \(-0.793178\pi\)
0.992053 0.125818i \(-0.0401555\pi\)
\(132\) −2.80459 6.67983i −0.244108 0.581404i
\(133\) 2.35800 + 8.80019i 0.204465 + 0.763073i
\(134\) 4.00259 + 0.928589i 0.345771 + 0.0802179i
\(135\) −1.11292 + 19.2725i −0.0957853 + 1.65871i
\(136\) −1.18595 11.6435i −0.101695 0.998418i
\(137\) −8.29570 + 14.3686i −0.708750 + 1.22759i 0.256571 + 0.966525i \(0.417407\pi\)
−0.965321 + 0.261065i \(0.915926\pi\)
\(138\) −16.0947 + 11.6236i −1.37007 + 0.989469i
\(139\) 1.84191 6.87408i 0.156228 0.583052i −0.842769 0.538276i \(-0.819076\pi\)
0.998997 0.0447763i \(-0.0142575\pi\)
\(140\) −14.4652 12.6290i −1.22254 1.06734i
\(141\) 5.49910 11.2242i 0.463108 0.945252i
\(142\) −0.315488 9.32068i −0.0264751 0.782174i
\(143\) −2.16097 −0.180710
\(144\) 11.5607 3.21718i 0.963392 0.268098i
\(145\) 27.0175 2.24368
\(146\) −0.420379 12.4196i −0.0347908 1.02785i
\(147\) 0.310347 + 0.461874i 0.0255970 + 0.0380948i
\(148\) −8.84685 + 10.1332i −0.727207 + 0.832944i
\(149\) 0.969882 3.61965i 0.0794558 0.296533i −0.914751 0.404018i \(-0.867613\pi\)
0.994207 + 0.107485i \(0.0342798\pi\)
\(150\) 19.6726 + 8.82596i 1.60626 + 0.720636i
\(151\) 1.35324 2.34389i 0.110125 0.190743i −0.805695 0.592330i \(-0.798208\pi\)
0.915821 + 0.401588i \(0.131541\pi\)
\(152\) −6.29993 + 7.72885i −0.510992 + 0.626892i
\(153\) 1.68401 + 12.2989i 0.136144 + 0.994307i
\(154\) −7.44575 1.72739i −0.599996 0.139197i
\(155\) 2.25761 + 8.42553i 0.181336 + 0.676755i
\(156\) 0.450131 3.55098i 0.0360393 0.284306i
\(157\) −1.28460 + 4.79418i −0.102522 + 0.382617i −0.998052 0.0623832i \(-0.980130\pi\)
0.895530 + 0.445001i \(0.146797\pi\)
\(158\) 8.14093 + 4.33980i 0.647657 + 0.345256i
\(159\) −1.00894 0.880209i −0.0800144 0.0698051i
\(160\) 1.94381 20.9261i 0.153672 1.65436i
\(161\) 20.9460i 1.65077i
\(162\) −12.1367 + 3.83414i −0.953549 + 0.301238i
\(163\) −8.40242 + 8.40242i −0.658129 + 0.658129i −0.954937 0.296808i \(-0.904078\pi\)
0.296808 + 0.954937i \(0.404078\pi\)
\(164\) −1.41855 2.11283i −0.110770 0.164985i
\(165\) 13.4266 0.914940i 1.04526 0.0712280i
\(166\) −10.8091 + 3.29200i −0.838946 + 0.255509i
\(167\) −7.11596 + 4.10840i −0.550650 + 0.317918i −0.749384 0.662136i \(-0.769650\pi\)
0.198734 + 0.980053i \(0.436317\pi\)
\(168\) 4.38946 11.8753i 0.338654 0.916197i
\(169\) 10.3337 + 5.96616i 0.794900 + 0.458936i
\(170\) 21.1782 + 4.91328i 1.62429 + 0.376831i
\(171\) 6.39474 8.42375i 0.489018 0.644180i
\(172\) −2.85072 + 0.974754i −0.217365 + 0.0743243i
\(173\) 6.66438 + 24.8718i 0.506683 + 1.89097i 0.451012 + 0.892518i \(0.351063\pi\)
0.0556715 + 0.998449i \(0.482270\pi\)
\(174\) 6.33631 + 16.6481i 0.480355 + 1.26209i
\(175\) 19.7009 11.3743i 1.48925 0.859816i
\(176\) −3.23562 7.71439i −0.243894 0.581494i
\(177\) −14.0840 2.76359i −1.05862 0.207724i
\(178\) −20.0616 + 0.679049i −1.50368 + 0.0508969i
\(179\) −14.5908 14.5908i −1.09057 1.09057i −0.995467 0.0951034i \(-0.969682\pi\)
−0.0951034 0.995467i \(-0.530318\pi\)
\(180\) −1.29330 + 22.2535i −0.0963965 + 1.65868i
\(181\) 8.19403 8.19403i 0.609057 0.609057i −0.333642 0.942700i \(-0.608278\pi\)
0.942700 + 0.333642i \(0.108278\pi\)
\(182\) −2.75914 2.57847i −0.204521 0.191129i
\(183\) −11.4922 + 3.93427i −0.849524 + 0.290830i
\(184\) −18.5895 + 13.4150i −1.37043 + 0.988964i
\(185\) −12.4939 21.6400i −0.918568 1.59101i
\(186\) −4.66232 + 3.36715i −0.341858 + 0.246891i
\(187\) 8.35896 2.23978i 0.611268 0.163789i
\(188\) 6.35459 12.9583i 0.463456 0.945081i
\(189\) −4.21757 + 12.7490i −0.306783 + 0.927356i
\(190\) −9.79850 15.7183i −0.710858 1.14033i
\(191\) 2.80582 4.85981i 0.203022 0.351644i −0.746479 0.665409i \(-0.768257\pi\)
0.949501 + 0.313765i \(0.101590\pi\)
\(192\) 13.3505 3.70996i 0.963490 0.267743i
\(193\) −12.5728 21.7767i −0.905008 1.56752i −0.820906 0.571063i \(-0.806531\pi\)
−0.0841024 0.996457i \(-0.526802\pi\)
\(194\) −8.70907 + 16.3371i −0.625274 + 1.17294i
\(195\) 5.97094 + 2.92535i 0.427588 + 0.209488i
\(196\) 0.358162 + 0.533459i 0.0255830 + 0.0381042i
\(197\) −4.31684 4.31684i −0.307562 0.307562i 0.536401 0.843963i \(-0.319784\pi\)
−0.843963 + 0.536401i \(0.819784\pi\)
\(198\) 3.71267 + 8.05884i 0.263848 + 0.572717i
\(199\) −14.6645 −1.03954 −0.519769 0.854307i \(-0.673982\pi\)
−0.519769 + 0.854307i \(0.673982\pi\)
\(200\) 22.7122 + 10.1997i 1.60599 + 0.721228i
\(201\) −4.93818 0.968981i −0.348312 0.0683466i
\(202\) 5.52527 1.68277i 0.388757 0.118400i
\(203\) 18.1533 + 4.86416i 1.27411 + 0.341397i
\(204\) 1.93930 + 14.2023i 0.135778 + 0.994357i
\(205\) 4.56624 1.22352i 0.318920 0.0854543i
\(206\) −3.33471 5.34939i −0.232340 0.372710i
\(207\) 19.2135 14.9017i 1.33543 1.03574i
\(208\) 0.521278 4.10013i 0.0361441 0.284293i
\(209\) −6.38502 3.68639i −0.441661 0.254993i
\(210\) 18.2348 + 14.8524i 1.25832 + 1.02491i
\(211\) −2.25661 0.604656i −0.155351 0.0416263i 0.180305 0.983611i \(-0.442291\pi\)
−0.335656 + 0.941984i \(0.608958\pi\)
\(212\) −1.16465 1.01681i −0.0799887 0.0698346i
\(213\) 0.776541 + 11.3956i 0.0532077 + 0.780812i
\(214\) 5.48160 5.86568i 0.374714 0.400970i
\(215\) 5.59648i 0.381677i
\(216\) −14.0159 + 4.42211i −0.953660 + 0.300887i
\(217\) 6.06766i 0.411899i
\(218\) 10.0095 + 9.35406i 0.677927 + 0.633537i
\(219\) 1.03472 + 15.1843i 0.0699200 + 1.02606i
\(220\) 15.5040 1.05077i 1.04528 0.0708428i
\(221\) 4.12991 + 1.10661i 0.277808 + 0.0744385i
\(222\) 10.4044 12.7739i 0.698297 0.857326i
\(223\) −24.9105 14.3821i −1.66813 0.963094i −0.968646 0.248445i \(-0.920081\pi\)
−0.699483 0.714650i \(-0.746586\pi\)
\(224\) 5.07356 13.7105i 0.338992 0.916073i
\(225\) −24.4494 9.97928i −1.62996 0.665286i
\(226\) 11.0523 6.88976i 0.735185 0.458300i
\(227\) −8.06995 + 2.16234i −0.535621 + 0.143519i −0.516483 0.856298i \(-0.672759\pi\)
−0.0191384 + 0.999817i \(0.506092\pi\)
\(228\) 7.38760 9.72419i 0.489255 0.644000i
\(229\) 18.5393 + 4.96759i 1.22511 + 0.328268i 0.812674 0.582718i \(-0.198011\pi\)
0.412438 + 0.910986i \(0.364677\pi\)
\(230\) −12.4068 40.7367i −0.818078 2.68610i
\(231\) 9.18616 + 1.80253i 0.604405 + 0.118598i
\(232\) 7.30946 + 19.2263i 0.479889 + 1.26227i
\(233\) −2.96265 −0.194090 −0.0970450 0.995280i \(-0.530939\pi\)
−0.0970450 + 0.995280i \(0.530939\pi\)
\(234\) −0.402249 + 4.36535i −0.0262958 + 0.285372i
\(235\) 18.9573 + 18.9573i 1.23664 + 1.23664i
\(236\) −16.2616 3.19712i −1.05854 0.208115i
\(237\) −10.1465 4.97108i −0.659085 0.322906i
\(238\) 13.3453 + 7.11416i 0.865045 + 0.461142i
\(239\) 5.14390 + 8.90950i 0.332731 + 0.576307i 0.983046 0.183357i \(-0.0586965\pi\)
−0.650315 + 0.759665i \(0.725363\pi\)
\(240\) −1.50284 + 25.6956i −0.0970078 + 1.65864i
\(241\) −12.8722 + 22.2954i −0.829173 + 1.43617i 0.0695144 + 0.997581i \(0.477855\pi\)
−0.898688 + 0.438589i \(0.855478\pi\)
\(242\) −7.95223 + 4.95727i −0.511189 + 0.318665i
\(243\) 14.6951 5.20141i 0.942690 0.333671i
\(244\) −13.2717 + 4.53801i −0.849631 + 0.290517i
\(245\) −1.15290 + 0.308920i −0.0736564 + 0.0197362i
\(246\) 1.82483 + 2.52676i 0.116347 + 0.161100i
\(247\) −1.82134 3.15465i −0.115889 0.200725i
\(248\) −5.38502 + 3.88606i −0.341949 + 0.246765i
\(249\) 13.0927 4.48222i 0.829718 0.284049i
\(250\) −13.6411 + 14.5969i −0.862739 + 0.923189i
\(251\) −16.7668 + 16.7668i −1.05831 + 1.05831i −0.0601228 + 0.998191i \(0.519149\pi\)
−0.998191 + 0.0601228i \(0.980851\pi\)
\(252\) −4.87545 + 14.7195i −0.307125 + 0.927243i
\(253\) −11.9859 11.9859i −0.753544 0.753544i
\(254\) 0.227624 + 6.72487i 0.0142824 + 0.421956i
\(255\) −26.1285 5.12699i −1.63623 0.321065i
\(256\) 15.4174 4.27821i 0.963589 0.267388i
\(257\) −6.74821 + 3.89608i −0.420942 + 0.243031i −0.695480 0.718545i \(-0.744808\pi\)
0.274538 + 0.961576i \(0.411475\pi\)
\(258\) 3.44854 1.31252i 0.214697 0.0817141i
\(259\) −4.49874 16.7895i −0.279538 1.04325i
\(260\) 6.89340 + 3.38044i 0.427511 + 0.209646i
\(261\) −8.45309 20.1124i −0.523233 1.24492i
\(262\) −2.76763 + 11.9296i −0.170985 + 0.737012i
\(263\) 12.3513 + 7.13103i 0.761615 + 0.439718i 0.829875 0.557949i \(-0.188412\pi\)
−0.0682606 + 0.997668i \(0.521745\pi\)
\(264\) 4.28359 + 9.30712i 0.263637 + 0.572814i
\(265\) 2.48718 1.43597i 0.152786 0.0882112i
\(266\) −3.75382 12.3254i −0.230162 0.755719i
\(267\) 24.5276 1.67141i 1.50106 0.102289i
\(268\) −5.70171 1.12098i −0.348287 0.0684750i
\(269\) 1.70265 1.70265i 0.103812 0.103812i −0.653293 0.757105i \(-0.726613\pi\)
0.757105 + 0.653293i \(0.226613\pi\)
\(270\) 0.650994 27.2931i 0.0396182 1.66100i
\(271\) 9.55642i 0.580511i −0.956949 0.290256i \(-0.906260\pi\)
0.956949 0.290256i \(-0.0937403\pi\)
\(272\) 2.23326 + 16.4002i 0.135412 + 0.994407i
\(273\) 3.48526 + 3.04057i 0.210938 + 0.184023i
\(274\) 11.0378 20.7055i 0.666816 1.25086i
\(275\) −4.76469 + 17.7821i −0.287321 + 1.07230i
\(276\) 22.1922 17.1989i 1.33581 1.03525i
\(277\) 0.571577 + 2.13315i 0.0343427 + 0.128169i 0.980969 0.194164i \(-0.0621995\pi\)
−0.946626 + 0.322333i \(0.895533\pi\)
\(278\) −2.27449 + 9.80398i −0.136415 + 0.588003i
\(279\) 5.56579 4.31676i 0.333215 0.258437i
\(280\) 21.0494 + 17.1578i 1.25794 + 1.02537i
\(281\) −8.26158 + 14.3095i −0.492845 + 0.853632i −0.999966 0.00824250i \(-0.997376\pi\)
0.507121 + 0.861875i \(0.330710\pi\)
\(282\) −7.23548 + 16.1275i −0.430866 + 0.960377i
\(283\) −1.95433 + 7.29366i −0.116173 + 0.433563i −0.999372 0.0354353i \(-0.988718\pi\)
0.883199 + 0.468998i \(0.155385\pi\)
\(284\) 0.891823 + 13.1588i 0.0529200 + 0.780831i
\(285\) 12.6520 + 18.8293i 0.749438 + 1.11535i
\(286\) 3.05433 0.103383i 0.180606 0.00611318i
\(287\) 3.28838 0.194107
\(288\) −16.1860 + 5.10025i −0.953771 + 0.300535i
\(289\) −0.122073 −0.00718078
\(290\) −38.1866 + 1.29254i −2.24239 + 0.0759008i
\(291\) 9.97590 20.3619i 0.584798 1.19363i
\(292\) 1.18833 + 17.5338i 0.0695418 + 1.02609i
\(293\) 6.12613 22.8630i 0.357892 1.33567i −0.518913 0.854827i \(-0.673663\pi\)
0.876805 0.480845i \(-0.159670\pi\)
\(294\) −0.460743 0.637968i −0.0268711 0.0372070i
\(295\) 15.3928 26.6612i 0.896206 1.55227i
\(296\) 12.0194 14.7456i 0.698613 0.857068i
\(297\) −4.88194 9.70875i −0.283279 0.563359i
\(298\) −1.19767 + 5.16243i −0.0693790 + 0.299051i
\(299\) −2.16755 8.08940i −0.125353 0.467822i
\(300\) −28.2275 11.5335i −1.62972 0.665886i
\(301\) 1.00758 3.76033i 0.0580758 0.216742i
\(302\) −1.80055 + 3.37760i −0.103610 + 0.194359i
\(303\) −6.69261 + 2.29118i −0.384481 + 0.131625i
\(304\) 8.53460 11.2254i 0.489493 0.643820i
\(305\) 26.0547i 1.49189i
\(306\) −2.96858 17.3027i −0.169703 0.989132i
\(307\) 12.9528 12.9528i 0.739255 0.739255i −0.233179 0.972434i \(-0.574913\pi\)
0.972434 + 0.233179i \(0.0749129\pi\)
\(308\) 10.6065 + 2.08529i 0.604361 + 0.118820i
\(309\) 4.30582 + 6.40814i 0.244950 + 0.364546i
\(310\) −3.59401 11.8007i −0.204126 0.670233i
\(311\) −3.74301 + 2.16103i −0.212247 + 0.122541i −0.602355 0.798228i \(-0.705771\pi\)
0.390108 + 0.920769i \(0.372438\pi\)
\(312\) −0.466335 + 5.04050i −0.0264010 + 0.285362i
\(313\) −13.7859 7.95932i −0.779228 0.449887i 0.0569286 0.998378i \(-0.481869\pi\)
−0.836157 + 0.548491i \(0.815203\pi\)
\(314\) 1.58630 6.83757i 0.0895199 0.385867i
\(315\) −22.9420 17.4160i −1.29263 0.981280i
\(316\) −11.7140 5.74442i −0.658966 0.323149i
\(317\) −7.69292 28.7104i −0.432077 1.61253i −0.747965 0.663738i \(-0.768969\pi\)
0.315888 0.948797i \(-0.397698\pi\)
\(318\) 1.46815 + 1.19582i 0.0823300 + 0.0670584i
\(319\) −13.1712 + 7.60441i −0.737447 + 0.425765i
\(320\) −1.74626 + 29.6701i −0.0976190 + 1.65861i
\(321\) −6.46396 + 7.40934i −0.360783 + 0.413549i
\(322\) −1.00208 29.6051i −0.0558436 1.64983i
\(323\) 10.3149 + 10.3149i 0.573935 + 0.573935i
\(324\) 16.9706 5.99982i 0.942813 0.333323i
\(325\) −6.43149 + 6.43149i −0.356755 + 0.356755i
\(326\) 11.4740 12.2780i 0.635488 0.680016i
\(327\) −12.6437 11.0304i −0.699196 0.609983i
\(328\) 2.10606 + 2.91842i 0.116288 + 0.161143i
\(329\) 9.32459 + 16.1507i 0.514082 + 0.890415i
\(330\) −18.9334 + 1.93552i −1.04225 + 0.106547i
\(331\) −1.90112 + 0.509403i −0.104495 + 0.0279993i −0.310688 0.950512i \(-0.600559\pi\)
0.206193 + 0.978511i \(0.433893\pi\)
\(332\) 15.1201 5.17005i 0.829823 0.283743i
\(333\) −12.2003 + 16.0713i −0.668571 + 0.880704i
\(334\) 9.86118 6.14727i 0.539580 0.336363i
\(335\) 5.39709 9.34803i 0.294874 0.510738i
\(336\) −5.63595 + 16.9946i −0.307466 + 0.927129i
\(337\) 9.46585 + 16.3953i 0.515638 + 0.893111i 0.999835 + 0.0181522i \(0.00577834\pi\)
−0.484197 + 0.874959i \(0.660888\pi\)
\(338\) −14.8911 7.93823i −0.809970 0.431783i
\(339\) −13.2397 + 8.89617i −0.719083 + 0.483173i
\(340\) −30.1684 5.93126i −1.63611 0.321668i
\(341\) −3.47208 3.47208i −0.188024 0.188024i
\(342\) −8.63535 + 12.2121i −0.466946 + 0.660354i
\(343\) −18.9205 −1.02161
\(344\) 3.98259 1.51410i 0.214727 0.0816350i
\(345\) 16.8924 + 49.3433i 0.909456 + 2.65655i
\(346\) −10.6093 34.8351i −0.570362 1.87274i
\(347\) −3.06413 0.821032i −0.164491 0.0440753i 0.175634 0.984456i \(-0.443803\pi\)
−0.340125 + 0.940380i \(0.610469\pi\)
\(348\) −9.75223 23.2274i −0.522774 1.24512i
\(349\) 15.9915 4.28490i 0.856003 0.229365i 0.195978 0.980608i \(-0.437212\pi\)
0.660026 + 0.751243i \(0.270545\pi\)
\(350\) −27.3011 + 17.0190i −1.45931 + 0.909703i
\(351\) 0.309532 5.36016i 0.0165216 0.286104i
\(352\) 4.94230 + 10.7488i 0.263426 + 0.572911i
\(353\) 19.7145 + 11.3822i 1.04930 + 0.605813i 0.922453 0.386109i \(-0.126181\pi\)
0.126846 + 0.991922i \(0.459514\pi\)
\(354\) 20.0386 + 3.23228i 1.06504 + 0.171794i
\(355\) −23.6649 6.34099i −1.25600 0.336545i
\(356\) 28.3227 1.91954i 1.50110 0.101735i
\(357\) −16.6329 8.14899i −0.880309 0.431291i
\(358\) 21.3208 + 19.9247i 1.12684 + 1.05305i
\(359\) 7.54182i 0.398042i 0.979995 + 0.199021i \(0.0637762\pi\)
−0.979995 + 0.199021i \(0.936224\pi\)
\(360\) 0.763317 31.5151i 0.0402303 1.66099i
\(361\) 6.57197i 0.345893i
\(362\) −11.1895 + 11.9735i −0.588105 + 0.629312i
\(363\) 9.52614 6.40090i 0.499993 0.335960i
\(364\) 4.02314 + 3.51243i 0.210870 + 0.184101i
\(365\) −31.5329 8.44921i −1.65051 0.442252i
\(366\) 16.0548 6.11051i 0.839200 0.319402i
\(367\) 20.6334 + 11.9127i 1.07706 + 0.621839i 0.930101 0.367304i \(-0.119719\pi\)
0.146955 + 0.989143i \(0.453053\pi\)
\(368\) 25.6326 19.8501i 1.33619 1.03476i
\(369\) −2.33948 3.01639i −0.121788 0.157027i
\(370\) 18.6942 + 29.9884i 0.971864 + 1.55902i
\(371\) 1.92969 0.517059i 0.100185 0.0268444i
\(372\) 6.42866 4.98219i 0.333311 0.258315i
\(373\) 8.84822 + 2.37087i 0.458143 + 0.122759i 0.480507 0.876991i \(-0.340453\pi\)
−0.0223639 + 0.999750i \(0.507119\pi\)
\(374\) −11.7074 + 3.56561i −0.605377 + 0.184373i
\(375\) 16.0857 18.4383i 0.830664 0.952152i
\(376\) −8.36167 + 18.6193i −0.431220 + 0.960218i
\(377\) −7.51422 −0.387002
\(378\) 5.35120 18.2213i 0.275236 0.937203i
\(379\) 0.636018 + 0.636018i 0.0326701 + 0.0326701i 0.723253 0.690583i \(-0.242646\pi\)
−0.690583 + 0.723253i \(0.742646\pi\)
\(380\) 14.6012 + 21.7476i 0.749027 + 1.11563i
\(381\) −0.560274 8.22190i −0.0287037 0.421220i
\(382\) −3.73325 + 7.00311i −0.191010 + 0.358311i
\(383\) −6.80598 11.7883i −0.347769 0.602354i 0.638084 0.769967i \(-0.279727\pi\)
−0.985853 + 0.167613i \(0.946394\pi\)
\(384\) −18.6922 + 5.88238i −0.953881 + 0.300184i
\(385\) −10.0398 + 17.3895i −0.511678 + 0.886252i
\(386\) 18.8122 + 30.1778i 0.957518 + 1.53601i
\(387\) −4.16614 + 1.75100i −0.211777 + 0.0890083i
\(388\) 11.5278 23.5076i 0.585238 1.19342i
\(389\) −8.00251 + 2.14427i −0.405744 + 0.108719i −0.455918 0.890022i \(-0.650689\pi\)
0.0501744 + 0.998740i \(0.484022\pi\)
\(390\) −8.57930 3.84904i −0.434430 0.194904i
\(391\) 16.7688 + 29.0444i 0.848034 + 1.46884i
\(392\) −0.531748 0.736858i −0.0268573 0.0372169i
\(393\) 2.88801 14.7181i 0.145681 0.742428i
\(394\) 6.30797 + 5.89492i 0.317791 + 0.296982i
\(395\) 17.1370 17.1370i 0.862258 0.862258i
\(396\) −5.63304 11.2128i −0.283071 0.563463i
\(397\) −6.79264 6.79264i −0.340913 0.340913i 0.515798 0.856710i \(-0.327496\pi\)
−0.856710 + 0.515798i \(0.827496\pi\)
\(398\) 20.7268 0.701565i 1.03894 0.0351663i
\(399\) 5.11101 + 14.9294i 0.255870 + 0.747407i
\(400\) −32.5894 13.3297i −1.62947 0.666487i
\(401\) 5.01378 2.89471i 0.250376 0.144555i −0.369560 0.929207i \(-0.620492\pi\)
0.619936 + 0.784652i \(0.287158\pi\)
\(402\) 7.02600 + 1.13331i 0.350425 + 0.0565245i
\(403\) −0.627898 2.34335i −0.0312778 0.116731i
\(404\) −7.72894 + 2.64278i −0.384529 + 0.131483i
\(405\) 0.346272 + 33.4348i 0.0172064 + 1.66139i
\(406\) −25.8907 6.00655i −1.28493 0.298100i
\(407\) 12.1817 + 7.03312i 0.603826 + 0.348619i
\(408\) −3.42046 19.9807i −0.169338 0.989194i
\(409\) 11.5152 6.64832i 0.569392 0.328738i −0.187515 0.982262i \(-0.560043\pi\)
0.756906 + 0.653523i \(0.226710\pi\)
\(410\) −6.39540 + 1.94778i −0.315846 + 0.0961940i
\(411\) −12.6434 + 25.8064i −0.623650 + 1.27294i
\(412\) 4.96921 + 7.40132i 0.244815 + 0.364637i
\(413\) 15.1426 15.1426i 0.745120 0.745120i
\(414\) −26.4435 + 21.9814i −1.29963 + 1.08033i
\(415\) 29.6834i 1.45710i
\(416\) −0.540622 + 5.82007i −0.0265062 + 0.285353i
\(417\) 2.37343 12.0956i 0.116227 0.592325i
\(418\) 9.20097 + 4.90490i 0.450034 + 0.239906i
\(419\) −3.29438 + 12.2948i −0.160941 + 0.600639i 0.837582 + 0.546311i \(0.183968\pi\)
−0.998523 + 0.0543282i \(0.982698\pi\)
\(420\) −26.4837 20.1200i −1.29227 0.981756i
\(421\) 1.72149 + 6.42470i 0.0839004 + 0.313121i 0.995104 0.0988365i \(-0.0315121\pi\)
−0.911203 + 0.411957i \(0.864845\pi\)
\(422\) 3.21843 + 0.746665i 0.156671 + 0.0363471i
\(423\) 8.18097 20.0435i 0.397772 0.974550i
\(424\) 1.69477 + 1.38144i 0.0823053 + 0.0670887i
\(425\) 18.2119 31.5440i 0.883408 1.53011i
\(426\) −1.64274 16.0694i −0.0795911 0.778565i
\(427\) 4.69083 17.5064i 0.227005 0.847194i
\(428\) −7.46709 + 8.55282i −0.360935 + 0.413416i
\(429\) −3.73426 + 0.254468i −0.180292 + 0.0122858i
\(430\) 0.267741 + 7.91008i 0.0129116 + 0.381458i
\(431\) 37.3843 1.80074 0.900370 0.435126i \(-0.143296\pi\)
0.900370 + 0.435126i \(0.143296\pi\)
\(432\) 19.5985 6.92077i 0.942935 0.332976i
\(433\) −18.8561 −0.906166 −0.453083 0.891468i \(-0.649676\pi\)
−0.453083 + 0.891468i \(0.649676\pi\)
\(434\) −0.290283 8.57605i −0.0139340 0.411664i
\(435\) 46.6873 3.18147i 2.23849 0.152540i
\(436\) −14.5949 12.7422i −0.698971 0.610241i
\(437\) 7.39522 27.5993i 0.353761 1.32026i
\(438\) −2.18891 21.4121i −0.104590 1.02311i
\(439\) −4.21577 + 7.30192i −0.201208 + 0.348502i −0.948918 0.315523i \(-0.897820\pi\)
0.747710 + 0.664025i \(0.231153\pi\)
\(440\) −21.8632 + 2.22689i −1.04229 + 0.106163i
\(441\) 0.590682 + 0.761594i 0.0281277 + 0.0362664i
\(442\) −5.89018 1.36650i −0.280167 0.0649980i
\(443\) −2.46777 9.20983i −0.117247 0.437572i 0.882198 0.470879i \(-0.156063\pi\)
−0.999445 + 0.0333063i \(0.989396\pi\)
\(444\) −14.0945 + 18.5524i −0.668895 + 0.880457i
\(445\) −13.6482 + 50.9358i −0.646987 + 2.41459i
\(446\) 35.8966 + 19.1359i 1.69975 + 0.906113i
\(447\) 1.24976 6.36912i 0.0591117 0.301249i
\(448\) −6.51507 + 19.6212i −0.307808 + 0.927016i
\(449\) 7.54348i 0.355999i 0.984031 + 0.177999i \(0.0569625\pi\)
−0.984031 + 0.177999i \(0.943038\pi\)
\(450\) 35.0344 + 12.9351i 1.65154 + 0.609765i
\(451\) −1.88170 + 1.88170i −0.0886058 + 0.0886058i
\(452\) −15.2917 + 10.2668i −0.719261 + 0.482908i
\(453\) 2.06246 4.20969i 0.0969026 0.197788i
\(454\) 11.3026 3.44233i 0.530460 0.161557i
\(455\) −8.59164 + 4.96039i −0.402782 + 0.232546i
\(456\) −9.97644 + 14.0976i −0.467190 + 0.660182i
\(457\) −5.15261 2.97486i −0.241029 0.139158i 0.374621 0.927178i \(-0.377773\pi\)
−0.615649 + 0.788020i \(0.711106\pi\)
\(458\) −26.4412 6.13428i −1.23552 0.286636i
\(459\) 4.35832 + 21.0547i 0.203429 + 0.982750i
\(460\) 19.4847 + 56.9839i 0.908477 + 2.65689i
\(461\) 6.37780 + 23.8023i 0.297044 + 1.10858i 0.939581 + 0.342328i \(0.111215\pi\)
−0.642537 + 0.766255i \(0.722118\pi\)
\(462\) −13.0700 2.10823i −0.608071 0.0980836i
\(463\) −20.8183 + 12.0194i −0.967507 + 0.558590i −0.898475 0.439024i \(-0.855324\pi\)
−0.0690315 + 0.997614i \(0.521991\pi\)
\(464\) −11.2510 26.8248i −0.522316 1.24531i
\(465\) 4.89341 + 14.2938i 0.226926 + 0.662861i
\(466\) 4.18743 0.141737i 0.193979 0.00656582i
\(467\) 25.3702 + 25.3702i 1.17399 + 1.17399i 0.981249 + 0.192744i \(0.0617388\pi\)
0.192744 + 0.981249i \(0.438261\pi\)
\(468\) 0.359697 6.18925i 0.0166270 0.286098i
\(469\) 5.30936 5.30936i 0.245163 0.245163i
\(470\) −27.7013 25.8874i −1.27777 1.19410i
\(471\) −1.65530 + 8.43582i −0.0762720 + 0.388702i
\(472\) 23.1372 + 3.74084i 1.06498 + 0.172186i
\(473\) 1.57520 + 2.72833i 0.0724278 + 0.125449i
\(474\) 14.5789 + 6.54072i 0.669631 + 0.300425i
\(475\) −29.9745 + 8.03166i −1.37533 + 0.368518i
\(476\) −19.2026 9.41673i −0.880150 0.431615i
\(477\) −1.84715 1.40223i −0.0845751 0.0642037i
\(478\) −7.69665 12.3466i −0.352037 0.564722i
\(479\) 0.498647 0.863682i 0.0227838 0.0394626i −0.854409 0.519602i \(-0.826080\pi\)
0.877192 + 0.480139i \(0.159414\pi\)
\(480\) 0.894813 36.3901i 0.0408424 1.66098i
\(481\) 3.47486 + 6.01863i 0.158440 + 0.274426i
\(482\) 17.1270 32.1282i 0.780115 1.46340i
\(483\) 2.46651 + 36.1956i 0.112230 + 1.64695i
\(484\) 11.0026 7.38707i 0.500116 0.335776i
\(485\) 34.3904 + 34.3904i 1.56159 + 1.56159i
\(486\) −20.5212 + 8.05472i −0.930863 + 0.365370i
\(487\) −18.8397 −0.853709 −0.426855 0.904320i \(-0.640378\pi\)
−0.426855 + 0.904320i \(0.640378\pi\)
\(488\) 18.5411 7.04898i 0.839317 0.319092i
\(489\) −13.5303 + 15.5092i −0.611862 + 0.701350i
\(490\) 1.61474 0.491785i 0.0729466 0.0222166i
\(491\) 0.535020 + 0.143358i 0.0241451 + 0.00646966i 0.270871 0.962616i \(-0.412688\pi\)
−0.246726 + 0.969085i \(0.579355\pi\)
\(492\) −2.70011 3.48403i −0.121730 0.157072i
\(493\) 29.0661 7.78824i 1.30907 0.350765i
\(494\) 2.72521 + 4.37166i 0.122613 + 0.196690i
\(495\) 23.0939 3.16211i 1.03799 0.142126i
\(496\) 7.42530 5.75020i 0.333406 0.258192i
\(497\) −14.7591 8.52115i −0.662035 0.382226i
\(498\) −18.2909 + 6.96156i −0.819634 + 0.311955i
\(499\) −42.1874 11.3041i −1.88857 0.506041i −0.998764 0.0497007i \(-0.984173\pi\)
−0.889805 0.456340i \(-0.849160\pi\)
\(500\) 18.5821 21.2839i 0.831015 0.951846i
\(501\) −11.8129 + 7.93744i −0.527761 + 0.354619i
\(502\) 22.8962 24.5005i 1.02191 1.09351i
\(503\) 20.7324i 0.924412i −0.886773 0.462206i \(-0.847058\pi\)
0.886773 0.462206i \(-0.152942\pi\)
\(504\) 6.18679 21.0379i 0.275581 0.937101i
\(505\) 15.1733i 0.675203i
\(506\) 17.5143 + 16.3674i 0.778604 + 0.727622i
\(507\) 18.5596 + 9.09293i 0.824262 + 0.403831i
\(508\) −0.643450 9.49407i −0.0285485 0.421231i
\(509\) −9.69736 2.59840i −0.429828 0.115172i 0.0374174 0.999300i \(-0.488087\pi\)
−0.467245 + 0.884128i \(0.654754\pi\)
\(510\) 37.1754 + 5.99650i 1.64615 + 0.265529i
\(511\) −19.6661 11.3542i −0.869976 0.502281i
\(512\) −21.5864 + 6.78443i −0.953992 + 0.299832i
\(513\) 10.0584 15.3096i 0.444091 0.675936i
\(514\) 9.35156 5.82958i 0.412479 0.257132i
\(515\) −15.9956 + 4.28602i −0.704852 + 0.188865i
\(516\) −4.81139 + 2.02011i −0.211809 + 0.0889302i
\(517\) −14.5776 3.90607i −0.641124 0.171789i
\(518\) 7.16177 + 23.5152i 0.314670 + 1.03320i
\(519\) 14.4451 + 42.1948i 0.634071 + 1.85214i
\(520\) −9.90489 4.44814i −0.434358 0.195064i
\(521\) −3.20573 −0.140445 −0.0702227 0.997531i \(-0.522371\pi\)
−0.0702227 + 0.997531i \(0.522371\pi\)
\(522\) 12.9098 + 28.0225i 0.565048 + 1.22651i
\(523\) −28.1479 28.1479i −1.23082 1.23082i −0.963648 0.267175i \(-0.913910\pi\)
−0.267175 0.963648i \(-0.586090\pi\)
\(524\) 3.34105 16.9937i 0.145955 0.742375i
\(525\) 32.7046 21.9752i 1.42734 0.959075i
\(526\) −17.7986 9.48813i −0.776054 0.413702i
\(527\) 4.85760 + 8.41362i 0.211601 + 0.366503i
\(528\) −6.49971 12.9498i −0.282863 0.563567i
\(529\) 21.3456 36.9717i 0.928070 1.60746i
\(530\) −3.44669 + 2.14860i −0.149715 + 0.0933293i
\(531\) −24.6632 3.11714i −1.07029 0.135272i
\(532\) 5.89533 + 17.2412i 0.255595 + 0.747501i
\(533\) −1.26998 + 0.340291i −0.0550091 + 0.0147396i
\(534\) −34.5874 + 3.53580i −1.49674 + 0.153009i
\(535\) −10.5453 18.2650i −0.455914 0.789666i
\(536\) 8.11244 + 1.31163i 0.350404 + 0.0566537i
\(537\) −26.9318 23.4954i −1.16219 1.01390i
\(538\) −2.32507 + 2.48799i −0.100241 + 0.107265i
\(539\) 0.475101 0.475101i 0.0204640 0.0204640i
\(540\) 0.385613 + 38.6073i 0.0165941 + 1.66139i
\(541\) 14.6373 + 14.6373i 0.629307 + 0.629307i 0.947894 0.318586i \(-0.103208\pi\)
−0.318586 + 0.947894i \(0.603208\pi\)
\(542\) 0.457189 + 13.5071i 0.0196380 + 0.580179i
\(543\) 13.1947 15.1245i 0.566241 0.649056i
\(544\) −3.94111 23.0732i −0.168974 0.989257i
\(545\) 31.1683 17.9950i 1.33510 0.770822i
\(546\) −5.07155 4.13081i −0.217042 0.176782i
\(547\) 4.55558 + 17.0017i 0.194783 + 0.726938i 0.992323 + 0.123673i \(0.0394674\pi\)
−0.797541 + 0.603265i \(0.793866\pi\)
\(548\) −14.6103 + 29.7933i −0.624120 + 1.27271i
\(549\) −19.3957 + 8.15186i −0.827786 + 0.347913i
\(550\) 5.88372 25.3612i 0.250882 1.08140i
\(551\) −22.2022 12.8185i −0.945847 0.546085i
\(552\) −30.5437 + 25.3707i −1.30003 + 1.07985i
\(553\) 14.5999 8.42924i 0.620850 0.358448i
\(554\) −0.909921 2.98766i −0.0386588 0.126934i
\(555\) −24.1382 35.9237i −1.02461 1.52487i
\(556\) 2.74574 13.9658i 0.116446 0.592282i
\(557\) −8.32037 + 8.32037i −0.352546 + 0.352546i −0.861056 0.508510i \(-0.830196\pi\)
0.508510 + 0.861056i \(0.330196\pi\)
\(558\) −7.66020 + 6.36759i −0.324282 + 0.269562i
\(559\) 1.55652i 0.0658337i
\(560\) −30.5722 23.2439i −1.29191 0.982232i
\(561\) 14.1809 4.85475i 0.598718 0.204968i
\(562\) 10.9924 20.6203i 0.463685 0.869816i
\(563\) 5.81439 21.6996i 0.245047 0.914529i −0.728312 0.685245i \(-0.759695\pi\)
0.973360 0.229284i \(-0.0736383\pi\)
\(564\) 9.45510 23.1408i 0.398131 0.974403i
\(565\) −8.85525 33.0482i −0.372543 1.39035i
\(566\) 2.41332 10.4024i 0.101439 0.437245i
\(567\) −5.78686 + 22.5275i −0.243025 + 0.946067i
\(568\) −1.89004 18.5560i −0.0793042 0.778594i
\(569\) 7.57037 13.1123i 0.317367 0.549695i −0.662571 0.748999i \(-0.730535\pi\)
0.979938 + 0.199304i \(0.0638681\pi\)
\(570\) −18.7832 26.0081i −0.786740 1.08936i
\(571\) −8.82715 + 32.9434i −0.369405 + 1.37864i 0.491945 + 0.870626i \(0.336286\pi\)
−0.861350 + 0.508012i \(0.830381\pi\)
\(572\) −4.31206 + 0.292245i −0.180296 + 0.0122194i
\(573\) 4.27630 8.72837i 0.178645 0.364633i
\(574\) −4.64781 + 0.157320i −0.193996 + 0.00656639i
\(575\) −71.3446 −2.97528
\(576\) 22.6334 7.98308i 0.943058 0.332628i
\(577\) 19.9524 0.830629 0.415315 0.909678i \(-0.363671\pi\)
0.415315 + 0.909678i \(0.363671\pi\)
\(578\) 0.172539 0.00584011i 0.00717667 0.000242917i
\(579\) −24.2906 36.1505i −1.00948 1.50237i
\(580\) 53.9112 3.65377i 2.23854 0.151715i
\(581\) −5.34414 + 19.9446i −0.221712 + 0.827442i
\(582\) −13.1258 + 29.2568i −0.544084 + 1.21273i
\(583\) −0.808347 + 1.40010i −0.0334783 + 0.0579861i
\(584\) −2.51843 24.7254i −0.104213 1.02315i
\(585\) 10.6625 + 4.35201i 0.440841 + 0.179934i
\(586\) −7.56491 + 32.6078i −0.312503 + 1.34702i
\(587\) −8.04265 30.0156i −0.331955 1.23887i −0.907132 0.420846i \(-0.861733\pi\)
0.575177 0.818029i \(-0.304933\pi\)
\(588\) 0.681737 + 0.879664i 0.0281143 + 0.0362767i
\(589\) 2.14226 7.99501i 0.0882701 0.329429i
\(590\) −20.4808 + 38.4194i −0.843181 + 1.58170i
\(591\) −7.96803 6.95136i −0.327761 0.285941i
\(592\) −16.2828 + 21.4165i −0.669220 + 0.880211i
\(593\) 38.3863i 1.57634i −0.615460 0.788168i \(-0.711030\pi\)
0.615460 0.788168i \(-0.288970\pi\)
\(594\) 7.36463 + 13.4888i 0.302174 + 0.553453i
\(595\) 28.0924 28.0924i 1.15168 1.15168i
\(596\) 1.44581 7.35389i 0.0592227 0.301227i
\(597\) −25.3409 + 1.72683i −1.03713 + 0.0706745i
\(598\) 3.45063 + 11.3299i 0.141107 + 0.463314i
\(599\) −24.9602 + 14.4108i −1.01985 + 0.588809i −0.914060 0.405580i \(-0.867070\pi\)
−0.105787 + 0.994389i \(0.533736\pi\)
\(600\) 40.4487 + 14.9510i 1.65131 + 0.610374i
\(601\) −19.8695 11.4716i −0.810492 0.467938i 0.0366348 0.999329i \(-0.488336\pi\)
−0.847127 + 0.531391i \(0.821670\pi\)
\(602\) −1.24422 + 5.36307i −0.0507105 + 0.218582i
\(603\) −8.64749 1.09294i −0.352153 0.0445080i
\(604\) 2.38331 4.86005i 0.0969755 0.197753i
\(605\) 6.37146 + 23.7786i 0.259037 + 0.966738i
\(606\) 9.34976 3.55854i 0.379808 0.144556i
\(607\) 16.8592 9.73364i 0.684292 0.395076i −0.117178 0.993111i \(-0.537385\pi\)
0.801470 + 0.598035i \(0.204051\pi\)
\(608\) −11.5258 + 16.2743i −0.467433 + 0.660010i
\(609\) 31.9425 + 6.26782i 1.29437 + 0.253985i
\(610\) 1.24648 + 36.8258i 0.0504686 + 1.49103i
\(611\) −5.27251 5.27251i −0.213303 0.213303i
\(612\) 5.02359 + 24.3137i 0.203067 + 0.982825i
\(613\) −10.5918 + 10.5918i −0.427797 + 0.427797i −0.887877 0.460080i \(-0.847821\pi\)
0.460080 + 0.887877i \(0.347821\pi\)
\(614\) −17.6878 + 18.9272i −0.713823 + 0.763840i
\(615\) 7.74658 2.65200i 0.312372 0.106939i
\(616\) −15.0910 2.43993i −0.608035 0.0983076i
\(617\) −9.33080 16.1614i −0.375644 0.650634i 0.614779 0.788699i \(-0.289245\pi\)
−0.990423 + 0.138065i \(0.955912\pi\)
\(618\) −6.39244 8.85130i −0.257142 0.356051i
\(619\) 21.0028 5.62767i 0.844172 0.226195i 0.189285 0.981922i \(-0.439383\pi\)
0.654887 + 0.755727i \(0.272716\pi\)
\(620\) 5.64434 + 16.5072i 0.226682 + 0.662944i
\(621\) 31.4470 28.0134i 1.26192 1.12414i
\(622\) 5.18701 3.23348i 0.207980 0.129651i
\(623\) −18.3407 + 31.7671i −0.734807 + 1.27272i
\(624\) 0.417976 7.14658i 0.0167324 0.286092i
\(625\) 4.23597 + 7.33691i 0.169439 + 0.293477i
\(626\) 19.8659 + 10.5902i 0.794001 + 0.423270i
\(627\) −11.4677 5.61837i −0.457975 0.224376i
\(628\) −1.91496 + 9.74015i −0.0764153 + 0.388674i
\(629\) −19.6794 19.6794i −0.784667 0.784667i
\(630\) 33.2595 + 23.5183i 1.32509 + 0.936990i
\(631\) 26.5211 1.05579 0.527894 0.849310i \(-0.322982\pi\)
0.527894 + 0.849310i \(0.322982\pi\)
\(632\) 16.8315 + 7.55878i 0.669521 + 0.300672i
\(633\) −3.97072 0.779143i −0.157822 0.0309682i
\(634\) 12.2467 + 40.2113i 0.486380 + 1.59699i
\(635\) 17.0742 + 4.57502i 0.677569 + 0.181554i
\(636\) −2.13231 1.61994i −0.0845514 0.0642349i
\(637\) 0.320651 0.0859183i 0.0127047 0.00340421i
\(638\) 18.2525 11.3782i 0.722622 0.450468i
\(639\) 2.68379 + 19.6006i 0.106169 + 0.775388i
\(640\) 1.04873 42.0193i 0.0414545 1.66096i
\(641\) 1.35222 + 0.780702i 0.0534093 + 0.0308359i 0.526467 0.850196i \(-0.323516\pi\)
−0.473058 + 0.881032i \(0.656850\pi\)
\(642\) 8.78172 10.7816i 0.346587 0.425517i
\(643\) 33.6691 + 9.02160i 1.32778 + 0.355777i 0.851887 0.523726i \(-0.175458\pi\)
0.475892 + 0.879503i \(0.342125\pi\)
\(644\) 2.83268 + 41.7961i 0.111623 + 1.64700i
\(645\) −0.659018 9.67095i −0.0259488 0.380793i
\(646\) −15.0726 14.0856i −0.593022 0.554191i
\(647\) 7.73678i 0.304164i 0.988368 + 0.152082i \(0.0485978\pi\)
−0.988368 + 0.152082i \(0.951402\pi\)
\(648\) −23.6993 + 9.29206i −0.930997 + 0.365026i
\(649\) 17.3300i 0.680264i
\(650\) 8.78261 9.39799i 0.344482 0.368619i
\(651\) 0.714503 + 10.4852i 0.0280036 + 0.410946i
\(652\) −15.6301 + 17.9027i −0.612120 + 0.701124i
\(653\) 14.2429 + 3.81636i 0.557366 + 0.149346i 0.526496 0.850178i \(-0.323505\pi\)
0.0308703 + 0.999523i \(0.490172\pi\)
\(654\) 18.3983 + 14.9855i 0.719430 + 0.585981i
\(655\) 27.8615 + 16.0858i 1.08864 + 0.628526i
\(656\) −3.11634 4.02416i −0.121672 0.157117i
\(657\) 3.57608 + 26.1173i 0.139516 + 1.01893i
\(658\) −13.9521 22.3813i −0.543909 0.872515i
\(659\) 33.8013 9.05703i 1.31671 0.352812i 0.468967 0.883216i \(-0.344626\pi\)
0.847745 + 0.530404i \(0.177960\pi\)
\(660\) 26.6679 3.64147i 1.03805 0.141744i
\(661\) 35.8049 + 9.59389i 1.39265 + 0.373159i 0.875699 0.482857i \(-0.160401\pi\)
0.516949 + 0.856016i \(0.327068\pi\)
\(662\) 2.66268 0.810943i 0.103488 0.0315182i
\(663\) 7.26698 + 1.42594i 0.282226 + 0.0553790i
\(664\) −21.1235 + 8.03073i −0.819749 + 0.311653i
\(665\) −33.8476 −1.31255
\(666\) 16.4750 23.2990i 0.638395 0.902817i
\(667\) −41.6777 41.6777i −1.61377 1.61377i
\(668\) −13.6437 + 9.16034i −0.527892 + 0.354424i
\(669\) −44.7399 21.9195i −1.72975 0.847456i
\(670\) −7.18105 + 13.4708i −0.277428 + 0.520421i
\(671\) 7.33342 + 12.7019i 0.283103 + 0.490350i
\(672\) 7.15284 24.2898i 0.275927 0.937000i
\(673\) −14.5046 + 25.1226i −0.559109 + 0.968406i 0.438462 + 0.898750i \(0.355523\pi\)
−0.997571 + 0.0696559i \(0.977810\pi\)
\(674\) −14.1634 22.7204i −0.545556 0.875156i
\(675\) −43.4248 14.3656i −1.67142 0.552931i
\(676\) 21.4269 + 10.5075i 0.824113 + 0.404135i
\(677\) −20.8441 + 5.58517i −0.801105 + 0.214655i −0.636069 0.771632i \(-0.719441\pi\)
−0.165036 + 0.986288i \(0.552774\pi\)
\(678\) 18.2875 13.2073i 0.702326 0.507223i
\(679\) 16.9157 + 29.2989i 0.649165 + 1.12439i
\(680\) 42.9239 + 6.93997i 1.64606 + 0.266136i
\(681\) −13.6906 + 4.68689i −0.524624 + 0.179602i
\(682\) 5.07356 + 4.74134i 0.194277 + 0.181555i
\(683\) −19.1487 + 19.1487i −0.732704 + 0.732704i −0.971155 0.238451i \(-0.923360\pi\)
0.238451 + 0.971155i \(0.423360\pi\)
\(684\) 11.6210 17.6737i 0.444340 0.675773i
\(685\) −43.5861 43.5861i −1.66534 1.66534i
\(686\) 26.7424 0.905179i 1.02103 0.0345599i
\(687\) 32.6217 + 6.40110i 1.24460 + 0.244217i
\(688\) −5.55657 + 2.33057i −0.211842 + 0.0888522i
\(689\) −0.691747 + 0.399380i −0.0263534 + 0.0152152i
\(690\) −26.2364 68.9339i −0.998804 2.62427i
\(691\) 8.78531 + 32.7872i 0.334209 + 1.24728i 0.904724 + 0.425997i \(0.140077\pi\)
−0.570516 + 0.821287i \(0.693257\pi\)
\(692\) 16.6618 + 48.7285i 0.633388 + 1.85238i
\(693\) 16.0863 + 2.03312i 0.611070 + 0.0772320i
\(694\) 4.37014 + 1.01386i 0.165888 + 0.0384855i
\(695\) 22.8971 + 13.2197i 0.868538 + 0.501450i
\(696\) 14.8951 + 32.3631i 0.564596 + 1.22672i
\(697\) 4.55978 2.63259i 0.172714 0.0997165i
\(698\) −22.3974 + 6.82134i −0.847754 + 0.258192i
\(699\) −5.11960 + 0.348870i −0.193641 + 0.0131955i
\(700\) 37.7733 25.3608i 1.42770 0.958549i
\(701\) −28.6582 + 28.6582i −1.08240 + 1.08240i −0.0861190 + 0.996285i \(0.527447\pi\)
−0.996285 + 0.0861190i \(0.972553\pi\)
\(702\) −0.181058 + 7.59089i −0.00683358 + 0.286500i
\(703\) 23.7109i 0.894275i
\(704\) −7.49970 14.9559i −0.282656 0.563672i
\(705\) 34.9914 + 30.5268i 1.31785 + 1.14970i
\(706\) −28.4092 15.1445i −1.06919 0.569970i
\(707\) 2.73177 10.1951i 0.102739 0.383426i
\(708\) −28.4773 3.60985i −1.07024 0.135667i
\(709\) 2.14398 + 8.00146i 0.0805190 + 0.300501i 0.994428 0.105418i \(-0.0336181\pi\)
−0.913909 + 0.405919i \(0.866951\pi\)
\(710\) 33.7514 + 7.83023i 1.26667 + 0.293863i
\(711\) −18.1189 7.39543i −0.679513 0.277350i
\(712\) −39.9396 + 4.06808i −1.49680 + 0.152458i
\(713\) 9.51476 16.4800i 0.356330 0.617182i
\(714\) 23.8989 + 10.7221i 0.894395 + 0.401264i
\(715\) 2.07790 7.75484i 0.0777091 0.290014i
\(716\) −31.0881 27.1417i −1.16182 1.01433i
\(717\) 9.93803 + 14.7903i 0.371142 + 0.552353i
\(718\) −0.360809 10.6596i −0.0134653 0.397814i
\(719\) −17.3387 −0.646625 −0.323312 0.946292i \(-0.604796\pi\)
−0.323312 + 0.946292i \(0.604796\pi\)
\(720\) 0.428839 + 44.5801i 0.0159819 + 1.66140i
\(721\) −11.5193 −0.429001
\(722\) −0.314410 9.28885i −0.0117011 0.345695i
\(723\) −19.6184 + 40.0431i −0.729615 + 1.48922i
\(724\) 15.2424 17.4587i 0.566480 0.648847i
\(725\) −16.5680 + 61.8325i −0.615318 + 2.29640i
\(726\) −13.1581 + 9.50280i −0.488341 + 0.352682i
\(727\) 25.1782 43.6100i 0.933809 1.61741i 0.157066 0.987588i \(-0.449796\pi\)
0.776743 0.629817i \(-0.216870\pi\)
\(728\) −5.85436 4.77201i −0.216977 0.176862i
\(729\) 24.7812 10.7187i 0.917824 0.396989i
\(730\) 44.9729 + 10.4336i 1.66452 + 0.386164i
\(731\) −1.61328 6.02084i −0.0596693 0.222689i
\(732\) −22.3996 + 9.40470i −0.827914 + 0.347608i
\(733\) −0.123620 + 0.461357i −0.00456602 + 0.0170406i −0.968171 0.250289i \(-0.919474\pi\)
0.963605 + 0.267329i \(0.0861411\pi\)
\(734\) −29.7333 15.8504i −1.09748 0.585047i
\(735\) −1.95589 + 0.669588i −0.0721442 + 0.0246981i
\(736\) −35.2796 + 29.2825i −1.30042 + 1.07937i
\(737\) 6.07632i 0.223824i
\(738\) 3.45093 + 4.15146i 0.127031 + 0.152817i
\(739\) 35.7895 35.7895i 1.31654 1.31654i 0.400038 0.916499i \(-0.368997\pi\)
0.916499 0.400038i \(-0.131003\pi\)
\(740\) −27.8571 41.4914i −1.02405 1.52525i
\(741\) −3.51883 5.23689i −0.129267 0.192382i
\(742\) −2.70270 + 0.823133i −0.0992192 + 0.0302181i
\(743\) 40.8564 23.5884i 1.49888 0.865376i 0.498877 0.866673i \(-0.333746\pi\)
0.999999 + 0.00129681i \(0.000412789\pi\)
\(744\) −8.84794 + 7.34940i −0.324381 + 0.269442i
\(745\) 12.0568 + 6.96101i 0.441728 + 0.255032i
\(746\) −12.6195 2.92769i −0.462034 0.107190i
\(747\) 22.0970 9.28722i 0.808487 0.339801i
\(748\) 16.3768 5.59975i 0.598794 0.204747i
\(749\) −3.79711 14.1710i −0.138743 0.517798i
\(750\) −21.8535 + 26.8304i −0.797978 + 0.979708i
\(751\) −12.6419 + 7.29878i −0.461308 + 0.266336i −0.712594 0.701577i \(-0.752480\pi\)
0.251286 + 0.967913i \(0.419147\pi\)
\(752\) 10.9276 26.7167i 0.398490 0.974256i
\(753\) −26.9994 + 30.9482i −0.983914 + 1.12782i
\(754\) 10.6206 0.359488i 0.386781 0.0130918i
\(755\) 7.11001 + 7.11001i 0.258760 + 0.258760i
\(756\) −6.69168 + 26.0101i −0.243374 + 0.945977i
\(757\) 22.1300 22.1300i 0.804329 0.804329i −0.179440 0.983769i \(-0.557429\pi\)
0.983769 + 0.179440i \(0.0574286\pi\)
\(758\) −0.929378 0.868523i −0.0337565 0.0315462i
\(759\) −22.1235 19.3007i −0.803032 0.700570i
\(760\) −21.6779 30.0396i −0.786339 1.08965i
\(761\) 13.0131 + 22.5393i 0.471724 + 0.817050i 0.999477 0.0323484i \(-0.0102986\pi\)
−0.527753 + 0.849398i \(0.676965\pi\)
\(762\) 1.18524 + 11.5941i 0.0429366 + 0.420008i
\(763\) 24.1821 6.47957i 0.875451 0.234576i
\(764\) 4.94156 10.0768i 0.178779 0.364567i
\(765\) −45.7549 5.78288i −1.65427 0.209080i
\(766\) 10.1836 + 16.3360i 0.367947 + 0.590245i
\(767\) −4.28113 + 7.41513i −0.154583 + 0.267745i
\(768\) 26.1382 9.20843i 0.943181 0.332281i
\(769\) −17.7312 30.7114i −0.639404 1.10748i −0.985564 0.169305i \(-0.945848\pi\)
0.346159 0.938176i \(-0.387486\pi\)
\(770\) 13.3584 25.0587i 0.481404 0.903054i
\(771\) −11.2024 + 7.52724i −0.403445 + 0.271087i
\(772\) −28.0330 41.7534i −1.00893 1.50274i
\(773\) 3.23556 + 3.23556i 0.116375 + 0.116375i 0.762896