Properties

Label 144.2.u.a.11.9
Level $144$
Weight $2$
Character 144.11
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 11.9
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.665270 - 1.24796i) q^{2} +(0.117756 + 1.72804i) q^{3} +(-1.11483 + 1.66047i) q^{4} +(-3.58858 - 0.961558i) q^{5} +(2.07820 - 1.29657i) q^{6} +(-1.29216 + 2.23809i) q^{7} +(2.81387 + 0.286608i) q^{8} +(-2.97227 + 0.406975i) q^{9} +O(q^{10})\) \(q+(-0.665270 - 1.24796i) q^{2} +(0.117756 + 1.72804i) q^{3} +(-1.11483 + 1.66047i) q^{4} +(-3.58858 - 0.961558i) q^{5} +(2.07820 - 1.29657i) 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} +(-2.02011 + 0.541286i) q^{11} +(-3.00064 - 1.73095i) q^{12} +(-0.998074 - 0.267433i) q^{13} +(3.65269 + 0.123637i) q^{14} +(1.23904 - 6.31446i) q^{15} +(-1.51431 - 3.70228i) q^{16} +4.13788i q^{17} +(2.48525 + 3.43854i) q^{18} +(2.49279 + 2.49279i) q^{19} +(5.59730 - 4.88675i) q^{20} +(-4.01968 - 1.96936i) q^{21} +(2.01942 + 2.16092i) q^{22} +(7.01915 - 4.05251i) q^{23} +(-0.163922 + 4.89624i) q^{24} +(7.62322 + 4.40127i) q^{25} +(0.330242 + 1.42348i) q^{26} +(-1.05327 - 5.08828i) q^{27} +(-2.27574 - 4.64068i) q^{28} +(-7.02439 + 1.88218i) q^{29} +(-8.70451 + 2.65455i) q^{30} +(-2.03331 + 1.17393i) q^{31} +(-3.61289 + 4.35282i) q^{32} +(-1.17324 - 3.42709i) q^{33} +(5.16393 - 2.75281i) q^{34} +(6.78909 - 6.78909i) q^{35} +(2.63781 - 5.38906i) q^{36} +(-4.75590 - 4.75590i) q^{37} +(1.45254 - 4.76930i) q^{38} +(0.344607 - 1.75621i) q^{39} +(-9.82221 - 3.73422i) q^{40} +(0.636217 + 1.10196i) q^{41} +(0.216477 + 6.32657i) q^{42} +(0.389880 + 1.45505i) q^{43} +(1.35329 - 3.95776i) q^{44} +(11.0576 + 1.39754i) q^{45} +(-9.72701 - 6.06363i) q^{46} +(-3.60814 + 6.24948i) q^{47} +(6.21938 - 3.05275i) q^{48} +(0.160635 + 0.278228i) q^{49} +(0.421123 - 12.4415i) q^{50} +(-7.15044 + 0.487260i) q^{51} +(1.55675 - 1.35913i) q^{52} +(0.546616 - 0.546616i) q^{53} +(-5.64928 + 4.69953i) q^{54} +7.76980 q^{55} +(-4.27743 + 5.92735i) q^{56} +(-4.01411 + 4.60119i) q^{57} +(7.02201 + 7.51403i) q^{58} +(-2.14469 + 8.00411i) q^{59} +(9.10364 + 9.09693i) q^{60} +(1.81511 + 6.77407i) 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} +(-3.49636 + 3.74411i) q^{66} +(0.751980 - 2.80643i) q^{67} +(-6.87082 - 4.61304i) q^{68} +(7.82945 + 11.6522i) q^{69} +(-12.9891 - 3.95596i) q^{70} +6.59449i q^{71} +(-8.48021 + 0.293297i) q^{72} -8.78699i q^{73} +(-2.77123 + 9.09915i) q^{74} +(-6.70790 + 13.6915i) q^{75} +(-6.91824 + 1.36016i) q^{76} +(1.39886 - 5.22061i) q^{77} +(-2.42094 + 0.738296i) 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} +(2.06791 + 7.71754i) q^{83} +(7.75132 - 4.47904i) q^{84} +(3.97882 - 14.8491i) q^{85} +(1.55648 - 1.45456i) q^{86} +(-4.07965 - 11.9168i) q^{87} +(-5.83945 + 0.944128i) q^{88} -14.1938 q^{89} +(-5.61218 - 14.7292i) q^{90} +(1.88821 - 1.88821i) q^{91} +(-1.09610 + 16.1729i) q^{92} +(-2.26805 - 3.37542i) q^{93} +(10.1995 + 0.345234i) q^{94} +(-6.54863 - 11.3426i) q^{95} +(-7.94730 - 5.73066i) q^{96} +(6.54551 - 11.3372i) q^{97} +(0.240353 - 0.385564i) q^{98} +(5.78401 - 2.43098i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.665270 1.24796i −0.470417 0.882444i
\(3\) 0.117756 + 1.72804i 0.0679864 + 0.997686i
\(4\) −1.11483 + 1.66047i −0.557415 + 0.830234i
\(5\) −3.58858 0.961558i −1.60486 0.430022i −0.658357 0.752706i \(-0.728748\pi\)
−0.946507 + 0.322684i \(0.895415\pi\)
\(6\) 2.07820 1.29657i 0.848420 0.529323i
\(7\) −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
\(11\) −2.02011 + 0.541286i −0.609085 + 0.163204i −0.550161 0.835059i \(-0.685434\pi\)
−0.0589240 + 0.998262i \(0.518767\pi\)
\(12\) −3.00064 1.73095i −0.866210 0.499681i
\(13\) −0.998074 0.267433i −0.276816 0.0741726i 0.117740 0.993044i \(-0.462435\pi\)
−0.394556 + 0.918872i \(0.629102\pi\)
\(14\) 3.65269 + 0.123637i 0.976224 + 0.0330433i
\(15\) 1.23904 6.31446i 0.319918 1.63039i
\(16\) −1.51431 3.70228i −0.378577 0.925570i
\(17\) 4.13788i 1.00358i 0.864988 + 0.501792i \(0.167326\pi\)
−0.864988 + 0.501792i \(0.832674\pi\)
\(18\) 2.48525 + 3.43854i 0.585779 + 0.810471i
\(19\) 2.49279 + 2.49279i 0.571886 + 0.571886i 0.932655 0.360769i \(-0.117486\pi\)
−0.360769 + 0.932655i \(0.617486\pi\)
\(20\) 5.59730 4.88675i 1.25159 1.09271i
\(21\) −4.01968 1.96936i −0.877165 0.429750i
\(22\) 2.01942 + 2.16092i 0.430542 + 0.460709i
\(23\) 7.01915 4.05251i 1.46359 0.845006i 0.464418 0.885616i \(-0.346264\pi\)
0.999175 + 0.0406102i \(0.0129302\pi\)
\(24\) −0.163922 + 4.89624i −0.0334604 + 0.999440i
\(25\) 7.62322 + 4.40127i 1.52464 + 0.880253i
\(26\) 0.330242 + 1.42348i 0.0647658 + 0.279167i
\(27\) −1.05327 5.08828i −0.202702 0.979240i
\(28\) −2.27574 4.64068i −0.430074 0.877007i
\(29\) −7.02439 + 1.88218i −1.30440 + 0.349512i −0.843111 0.537740i \(-0.819278\pi\)
−0.461286 + 0.887252i \(0.652612\pi\)
\(30\) −8.70451 + 2.65455i −1.58922 + 0.484652i
\(31\) −2.03331 + 1.17393i −0.365194 + 0.210845i −0.671357 0.741134i \(-0.734288\pi\)
0.306163 + 0.951979i \(0.400955\pi\)
\(32\) −3.61289 + 4.35282i −0.638675 + 0.769477i
\(33\) −1.17324 3.42709i −0.204236 0.596580i
\(34\) 5.16393 2.75281i 0.885607 0.472103i
\(35\) 6.78909 6.78909i 1.14757 1.14757i
\(36\) 2.63781 5.38906i 0.439634 0.898177i
\(37\) −4.75590 4.75590i −0.781865 0.781865i 0.198280 0.980145i \(-0.436464\pi\)
−0.980145 + 0.198280i \(0.936464\pi\)
\(38\) 1.45254 4.76930i 0.235632 0.773682i
\(39\) 0.344607 1.75621i 0.0551813 0.281218i
\(40\) −9.82221 3.73422i −1.55303 0.590432i
\(41\) 0.636217 + 1.10196i 0.0993604 + 0.172097i 0.911420 0.411477i \(-0.134987\pi\)
−0.812060 + 0.583574i \(0.801654\pi\)
\(42\) 0.216477 + 6.32657i 0.0334031 + 0.976211i
\(43\) 0.389880 + 1.45505i 0.0594562 + 0.221894i 0.989261 0.146159i \(-0.0466912\pi\)
−0.929805 + 0.368053i \(0.880025\pi\)
\(44\) 1.35329 3.95776i 0.204016 0.596655i
\(45\) 11.0576 + 1.39754i 1.64836 + 0.208334i
\(46\) −9.72701 6.06363i −1.43417 0.894034i
\(47\) −3.60814 + 6.24948i −0.526301 + 0.911580i 0.473230 + 0.880939i \(0.343088\pi\)
−0.999530 + 0.0306407i \(0.990245\pi\)
\(48\) 6.21938 3.05275i 0.897690 0.440627i
\(49\) 0.160635 + 0.278228i 0.0229479 + 0.0397469i
\(50\) 0.421123 12.4415i 0.0595557 1.75950i
\(51\) −7.15044 + 0.487260i −1.00126 + 0.0682301i
\(52\) 1.55675 1.35913i 0.215882 0.188477i
\(53\) 0.546616 0.546616i 0.0750835 0.0750835i −0.668568 0.743651i \(-0.733092\pi\)
0.743651 + 0.668568i \(0.233092\pi\)
\(54\) −5.64928 + 4.69953i −0.768770 + 0.639525i
\(55\) 7.76980 1.04768
\(56\) −4.27743 + 5.92735i −0.571596 + 0.792075i
\(57\) −4.01411 + 4.60119i −0.531682 + 0.609443i
\(58\) 7.02201 + 7.51403i 0.922036 + 0.986641i
\(59\) −2.14469 + 8.00411i −0.279215 + 1.04205i 0.673748 + 0.738961i \(0.264683\pi\)
−0.952963 + 0.303085i \(0.901983\pi\)
\(60\) 9.10364 + 9.09693i 1.17527 + 1.17441i
\(61\) 1.81511 + 6.77407i 0.232401 + 0.867331i 0.979303 + 0.202398i \(0.0648734\pi\)
−0.746903 + 0.664933i \(0.768460\pi\)
\(62\) 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
\(66\) −3.49636 + 3.74411i −0.430372 + 0.460868i
\(67\) 0.751980 2.80643i 0.0918690 0.342860i −0.904657 0.426140i \(-0.859873\pi\)
0.996526 + 0.0832804i \(0.0265397\pi\)
\(68\) −6.87082 4.61304i −0.833209 0.559413i
\(69\) 7.82945 + 11.6522i 0.942555 + 1.40276i
\(70\) −12.9891 3.95596i −1.55250 0.472828i
\(71\) 6.59449i 0.782622i 0.920258 + 0.391311i \(0.127978\pi\)
−0.920258 + 0.391311i \(0.872022\pi\)
\(72\) −8.48021 + 0.293297i −0.999402 + 0.0345653i
\(73\) 8.78699i 1.02844i −0.857658 0.514220i \(-0.828082\pi\)
0.857658 0.514220i \(-0.171918\pi\)
\(74\) −2.77123 + 9.09915i −0.322149 + 1.05776i
\(75\) −6.70790 + 13.6915i −0.774562 + 1.58096i
\(76\) −6.91824 + 1.36016i −0.793577 + 0.156021i
\(77\) 1.39886 5.22061i 0.159415 0.594944i
\(78\) −2.42094 + 0.738296i −0.274118 + 0.0835955i
\(79\) 5.64940 + 3.26168i 0.635607 + 0.366968i 0.782920 0.622122i \(-0.213729\pi\)
−0.147313 + 0.989090i \(0.547063\pi\)
\(80\) 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
\(83\) 2.06791 + 7.71754i 0.226982 + 0.847110i 0.981601 + 0.190946i \(0.0611554\pi\)
−0.754618 + 0.656164i \(0.772178\pi\)
\(84\) 7.75132 4.47904i 0.845739 0.488703i
\(85\) 3.97882 14.8491i 0.431563 1.61062i
\(86\) 1.55648 1.45456i 0.167839 0.156849i
\(87\) −4.07965 11.9168i −0.437385 1.27762i
\(88\) −5.83945 + 0.944128i −0.622487 + 0.100644i
\(89\) −14.1938 −1.50454 −0.752272 0.658852i \(-0.771042\pi\)
−0.752272 + 0.658852i \(0.771042\pi\)
\(90\) −5.61218 14.7292i −0.591576 1.55259i
\(91\) 1.88821 1.88821i 0.197939 0.197939i
\(92\) −1.09610 + 16.1729i −0.114277 + 1.68614i
\(93\) −2.26805 3.37542i −0.235185 0.350015i
\(94\) 10.1995 + 0.345234i 1.05200 + 0.0356082i
\(95\) −6.54863 11.3426i −0.671875 1.16372i
\(96\) −7.94730 5.73066i −0.811118 0.584883i
\(97\) 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
\(99\) 5.78401 2.43098i 0.581314 0.244322i
\(100\) −15.8068 + 7.75144i −1.58068 + 0.775144i
\(101\) −1.05705 3.94498i −0.105181 0.392540i 0.893185 0.449690i \(-0.148465\pi\)
−0.998366 + 0.0571499i \(0.981799\pi\)
\(102\) 5.36506 + 8.59934i 0.531220 + 0.851461i
\(103\) 2.22868 + 3.86019i 0.219599 + 0.380356i 0.954685 0.297617i \(-0.0961918\pi\)
−0.735087 + 0.677973i \(0.762859\pi\)
\(104\) −2.73180 1.03858i −0.267875 0.101841i
\(105\) 12.5313 + 10.9324i 1.22293 + 1.06689i
\(106\) −1.04580 0.318510i −0.101578 0.0309364i
\(107\) 4.01417 + 4.01417i 0.388064 + 0.388064i 0.873996 0.485932i \(-0.161520\pi\)
−0.485932 + 0.873996i \(0.661520\pi\)
\(108\) 9.62315 + 3.92365i 0.925988 + 0.377553i
\(109\) −6.84996 + 6.84996i −0.656107 + 0.656107i −0.954457 0.298349i \(-0.903564\pi\)
0.298349 + 0.954457i \(0.403564\pi\)
\(110\) −5.16902 9.69643i −0.492847 0.924519i
\(111\) 7.65837 8.77844i 0.726900 0.833212i
\(112\) 10.2428 + 1.39479i 0.967850 + 0.131795i
\(113\) −7.97546 + 4.60464i −0.750268 + 0.433168i −0.825791 0.563976i \(-0.809271\pi\)
0.0755225 + 0.997144i \(0.475938\pi\)
\(114\) 8.41260 + 1.94843i 0.787912 + 0.182487i
\(115\) −29.0855 + 7.79344i −2.71224 + 0.726742i
\(116\) 4.70571 13.7621i 0.436914 1.27778i
\(117\) 3.07538 + 0.388692i 0.284319 + 0.0359346i
\(118\) 11.4156 2.64840i 1.05090 0.243805i
\(119\) −9.26095 5.34681i −0.848950 0.490142i
\(120\) 5.29626 17.4129i 0.483481 1.58958i
\(121\) −5.73844 + 3.31309i −0.521676 + 0.301190i
\(122\) 7.24626 6.77178i 0.656046 0.613088i
\(123\) −1.82932 + 1.22917i −0.164944 + 0.110831i
\(124\) 0.317520 4.68499i 0.0285141 0.420725i
\(125\) −9.98936 9.98936i −0.893475 0.893475i
\(126\) −10.9071 + 1.11907i −0.971682 + 0.0996949i
\(127\) 4.75792i 0.422197i 0.977465 + 0.211099i \(0.0677041\pi\)
−0.977465 + 0.211099i \(0.932296\pi\)
\(128\) −3.19995 10.8517i −0.282839 0.959167i
\(129\) −2.46849 + 0.845072i −0.217338 + 0.0744044i
\(130\) 0.183654 5.42581i 0.0161075 0.475875i
\(131\) 8.36446 + 2.24125i 0.730806 + 0.195819i 0.604988 0.796234i \(-0.293178\pi\)
0.125818 + 0.992053i \(0.459844\pi\)
\(132\) 6.99854 + 1.87249i 0.609145 + 0.162979i
\(133\) −8.80019 + 2.35800i −0.763073 + 0.204465i
\(134\) −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 \(-0.582593\pi\)
0.965321 0.261065i \(-0.0840738\pi\)
\(138\) 9.33280 17.5227i 0.794461 1.49163i
\(139\) −6.87408 1.84191i −0.583052 0.156228i −0.0447763 0.998997i \(-0.514257\pi\)
−0.538276 + 0.842769i \(0.680924\pi\)
\(140\) 3.70438 + 18.8417i 0.313077 + 1.59242i
\(141\) −11.2242 5.49910i −0.945252 0.463108i
\(142\) 8.22969 4.38712i 0.690620 0.368159i
\(143\) 2.16097 0.180710
\(144\) 6.00766 + 10.3879i 0.500638 + 0.865657i
\(145\) 27.0175 2.24368
\(146\) −10.9659 + 5.84573i −0.907541 + 0.483796i
\(147\) −0.461874 + 0.310347i −0.0380948 + 0.0255970i
\(148\) 13.1990 2.59500i 1.08495 0.213307i
\(149\) 3.61965 + 0.969882i 0.296533 + 0.0794558i 0.404018 0.914751i \(-0.367613\pi\)
−0.107485 + 0.994207i \(0.534280\pi\)
\(150\) 21.5491 0.737347i 1.75948 0.0602041i
\(151\) 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
\(155\) 8.42553 2.25761i 0.676755 0.181336i
\(156\) 2.53195 + 2.53008i 0.202718 + 0.202569i
\(157\) 4.79418 + 1.28460i 0.382617 + 0.102522i 0.445001 0.895530i \(-0.353203\pi\)
−0.0623832 + 0.998052i \(0.519870\pi\)
\(158\) 0.312085 9.22015i 0.0248281 0.733516i
\(159\) 1.00894 + 0.880209i 0.0800144 + 0.0698051i
\(160\) 17.1507 12.1465i 1.35588 0.960261i
\(161\) 20.9460i 1.65077i
\(162\) −8.78623 9.20881i −0.690311 0.723512i
\(163\) −8.40242 8.40242i −0.658129 0.658129i 0.296808 0.954937i \(-0.404078\pi\)
−0.954937 + 0.296808i \(0.904078\pi\)
\(164\) −2.53904 0.172081i −0.198266 0.0134373i
\(165\) 0.914940 + 13.4266i 0.0712280 + 1.04526i
\(166\) 8.25549 7.71492i 0.640750 0.598794i
\(167\) −7.11596 + 4.10840i −0.550650 + 0.317918i −0.749384 0.662136i \(-0.769650\pi\)
0.198734 + 0.980053i \(0.436317\pi\)
\(168\) −10.7464 6.69360i −0.829103 0.516423i
\(169\) −10.3337 5.96616i −0.794900 0.458936i
\(170\) −21.1782 + 4.91328i −1.62429 + 0.376831i
\(171\) −8.42375 6.39474i −0.644180 0.489018i
\(172\) −2.85072 0.974754i −0.217365 0.0743243i
\(173\) 24.8718 6.66438i 1.89097 0.506683i 0.892518 0.451012i \(-0.148937\pi\)
0.998449 0.0556715i \(-0.0177300\pi\)
\(174\) −12.1577 + 13.0192i −0.921672 + 0.986980i
\(175\) −19.7009 + 11.3743i −1.48925 + 0.859816i
\(176\) 5.06305 + 6.65933i 0.381642 + 0.501966i
\(177\) −14.0840 2.76359i −1.05862 0.207724i
\(178\) 9.44275 + 17.7134i 0.707764 + 1.32768i
\(179\) 14.5908 14.5908i 1.09057 1.09057i 0.0951034 0.995467i \(-0.469682\pi\)
0.995467 0.0951034i \(-0.0303182\pi\)
\(180\) −14.6479 + 16.8027i −1.09179 + 1.25240i
\(181\) 8.19403 + 8.19403i 0.609057 + 0.609057i 0.942700 0.333642i \(-0.108278\pi\)
−0.333642 + 0.942700i \(0.608278\pi\)
\(182\) −3.61260 1.10025i −0.267783 0.0815560i
\(183\) −11.4922 + 3.93427i −0.849524 + 0.290830i
\(184\) 20.9124 9.39147i 1.54169 0.692349i
\(185\) 12.4939 + 21.6400i 0.918568 + 1.59101i
\(186\) −2.70354 + 5.07601i −0.198233 + 0.372191i
\(187\) −2.23978 8.35896i −0.163789 0.611268i
\(188\) −6.35459 12.9583i −0.463456 0.945081i
\(189\) 12.7490 + 4.21757i 0.927356 + 0.306783i
\(190\) −9.79850 + 15.7183i −0.710858 + 1.14033i
\(191\) −2.80582 + 4.85981i −0.203022 + 0.351644i −0.949501 0.313765i \(-0.898410\pi\)
0.746479 + 0.665409i \(0.231743\pi\)
\(192\) −1.86456 + 13.7304i −0.134563 + 0.990905i
\(193\) −12.5728 21.7767i −0.905008 1.56752i −0.820906 0.571063i \(-0.806531\pi\)
−0.0841024 0.996457i \(-0.526802\pi\)
\(194\) −18.5029 0.626288i −1.32843 0.0449649i
\(195\) −2.92535 + 5.97094i −0.209488 + 0.427588i
\(196\) −0.641069 0.0434478i −0.0457907 0.00310341i
\(197\) 4.31684 4.31684i 0.307562 0.307562i −0.536401 0.843963i \(-0.680216\pi\)
0.843963 + 0.536401i \(0.180216\pi\)
\(198\) −6.88170 5.60097i −0.489061 0.398044i
\(199\) −14.6645 −1.03954 −0.519769 0.854307i \(-0.673982\pi\)
−0.519769 + 0.854307i \(0.673982\pi\)
\(200\) 20.1893 + 14.5695i 1.42760 + 1.03022i
\(201\) 4.93818 + 0.968981i 0.348312 + 0.0683466i
\(202\) −4.21996 + 3.94364i −0.296916 + 0.277474i
\(203\) 4.86416 18.1533i 0.341397 1.27411i
\(204\) 7.16245 12.4163i 0.501472 0.869314i
\(205\) −1.22352 4.56624i −0.0854543 0.318920i
\(206\) 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
\(210\) 5.30652 22.9116i 0.366185 1.58105i
\(211\) 0.604656 2.25661i 0.0416263 0.155351i −0.941984 0.335656i \(-0.891042\pi\)
0.983611 + 0.180305i \(0.0577085\pi\)
\(212\) 0.298254 + 1.51702i 0.0204842 + 0.104190i
\(213\) −11.3956 + 0.776541i −0.780812 + 0.0532077i
\(214\) 2.33903 7.68004i 0.159893 0.524997i
\(215\) 5.59648i 0.381677i
\(216\) −1.50542 14.6196i −0.102431 0.994740i
\(217\) 6.06766i 0.411899i
\(218\) 13.1056 + 3.99143i 0.887622 + 0.270334i
\(219\) 15.1843 1.03472i 1.02606 0.0699200i
\(220\) −8.66201 + 12.9015i −0.583993 + 0.869819i
\(221\) 1.10661 4.12991i 0.0744385 0.277808i
\(222\) −16.0501 3.71733i −1.07721 0.249491i
\(223\) 24.9105 + 14.3821i 1.66813 + 0.963094i 0.968646 + 0.248445i \(0.0799195\pi\)
0.699483 + 0.714650i \(0.253414\pi\)
\(224\) −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
\(227\) −2.16234 8.06995i −0.143519 0.535621i −0.999817 0.0191384i \(-0.993908\pi\)
0.856298 0.516483i \(-0.172759\pi\)
\(228\) −3.16508 11.7949i −0.209613 0.781133i
\(229\) −4.96759 + 18.5393i −0.328268 + 1.22511i 0.582718 + 0.812674i \(0.301989\pi\)
−0.910986 + 0.412438i \(0.864677\pi\)
\(230\) 29.0757 + 31.1129i 1.91719 + 2.05153i
\(231\) 9.18616 + 1.80253i 0.604405 + 0.118598i
\(232\) −20.3052 + 3.28296i −1.33310 + 0.215537i
\(233\) 2.96265 0.194090 0.0970450 0.995280i \(-0.469061\pi\)
0.0970450 + 0.995280i \(0.469061\pi\)
\(234\) −1.56089 4.09655i −0.102038 0.267800i
\(235\) 18.9573 18.9573i 1.23664 1.23664i
\(236\) −10.8996 12.4844i −0.709503 0.812667i
\(237\) −4.97108 + 10.1465i −0.322906 + 0.659085i
\(238\) −0.511595 + 15.1144i −0.0331618 + 0.979722i
\(239\) −5.14390 8.90950i −0.332731 0.576307i 0.650315 0.759665i \(-0.274637\pi\)
−0.983046 + 0.183357i \(0.941304\pi\)
\(240\) −25.2542 + 4.97476i −1.63015 + 0.321120i
\(241\) −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
\(243\) 5.20141 + 14.6951i 0.333671 + 0.942690i
\(244\) −13.2717 4.53801i −0.849631 0.290517i
\(245\) −0.308920 1.15290i −0.0197362 0.0736564i
\(246\) 2.75095 + 1.46519i 0.175394 + 0.0934170i
\(247\) −1.82134 3.15465i −0.115889 0.200725i
\(248\) −6.05794 + 2.72053i −0.384680 + 0.172754i
\(249\) −13.0927 + 4.48222i −0.829718 + 0.284049i
\(250\) −5.82074 + 19.1120i −0.368136 + 1.20875i
\(251\) 16.7668 + 16.7668i 1.05831 + 1.05831i 0.998191 + 0.0601228i \(0.0191492\pi\)
0.0601228 + 0.998191i \(0.480851\pi\)
\(252\) 8.65273 + 12.8672i 0.545071 + 0.810557i
\(253\) −11.9859 + 11.9859i −0.753544 + 0.753544i
\(254\) 5.93772 3.16531i 0.372566 0.198609i
\(255\) 26.1285 + 5.12699i 1.63623 + 0.321065i
\(256\) −11.4138 + 11.2128i −0.713359 + 0.700798i
\(257\) −6.74821 + 3.89608i −0.420942 + 0.243031i −0.695480 0.718545i \(-0.744808\pi\)
0.274538 + 0.961576i \(0.411475\pi\)
\(258\) 2.69683 + 2.51838i 0.167897 + 0.156788i
\(259\) 16.7895 4.49874i 1.04325 0.279538i
\(260\) −6.89340 + 3.38044i −0.427511 + 0.209646i
\(261\) 20.1124 8.45309i 1.24492 0.523233i
\(262\) −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 \(0.521745\pi\)
\(264\) −2.31912 9.97965i −0.142732 0.614205i
\(265\) −2.48718 + 1.43597i −0.152786 + 0.0882112i
\(266\) 8.79721 + 9.41361i 0.539391 + 0.577185i
\(267\) −1.67141 24.5276i −0.102289 1.50106i
\(268\) 3.82165 + 4.37733i 0.233445 + 0.267388i
\(269\) −1.70265 1.70265i −0.103812 0.103812i 0.653293 0.757105i \(-0.273387\pi\)
−0.757105 + 0.653293i \(0.773387\pi\)
\(270\) 24.7918 11.4325i 1.50878 0.695763i
\(271\) 9.55642i 0.580511i 0.956949 + 0.290256i \(0.0937403\pi\)
−0.956949 + 0.290256i \(0.906260\pi\)
\(272\) 15.3196 6.26602i 0.928887 0.379933i
\(273\) 3.48526 + 3.04057i 0.210938 + 0.184023i
\(274\) −23.4504 0.793751i −1.41669 0.0479522i
\(275\) −17.7821 4.76469i −1.07230 0.287321i
\(276\) −28.0766 + 0.0103466i −1.69001 + 0.000622789i
\(277\) −2.13315 + 0.571577i −0.128169 + 0.0343427i −0.322333 0.946626i \(-0.604467\pi\)
0.194164 + 0.980969i \(0.437800\pi\)
\(278\) 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 −0.507121 0.861875i \(-0.669290\pi\)
0.999966 + 0.00824250i \(0.00262370\pi\)
\(282\) 0.604473 + 17.6658i 0.0359959 + 1.05199i
\(283\) 7.29366 + 1.95433i 0.433563 + 0.116173i 0.468998 0.883199i \(-0.344615\pi\)
−0.0354353 + 0.999372i \(0.511282\pi\)
\(284\) −10.9499 7.35174i −0.649760 0.436246i
\(285\) 18.8293 12.6520i 1.11535 0.749438i
\(286\) −1.43763 2.69682i −0.0850090 0.159466i
\(287\) −3.28838 −0.194107
\(288\) 8.96699 14.4081i 0.528385 0.849005i
\(289\) −0.122073 −0.00718078
\(290\) −17.9739 33.7168i −1.05546 1.97992i
\(291\) 20.3619 + 9.97590i 1.19363 + 0.584798i
\(292\) 14.5905 + 9.79601i 0.853846 + 0.573268i
\(293\) 22.8630 + 6.12613i 1.33567 + 0.357892i 0.854827 0.518913i \(-0.173663\pi\)
0.480845 + 0.876805i \(0.340330\pi\)
\(294\) 0.694574 + 0.369938i 0.0405084 + 0.0215752i
\(295\) 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
\(299\) −8.08940 + 2.16755i −0.467822 + 0.125353i
\(300\) −15.2562 26.4020i −0.880815 1.52432i
\(301\) −3.76033 1.00758i −0.216742 0.0580758i
\(302\) −3.82536 0.129481i −0.220125 0.00745080i
\(303\) 6.69261 2.29118i 0.384481 0.131625i
\(304\) 5.45416 13.0039i 0.312818 0.745823i
\(305\) 26.0547i 1.49189i
\(306\) −14.2283 + 10.2837i −0.813375 + 0.587879i
\(307\) 12.9528 + 12.9528i 0.739255 + 0.739255i 0.972434 0.233179i \(-0.0749129\pi\)
−0.233179 + 0.972434i \(0.574913\pi\)
\(308\) 7.10916 + 8.14285i 0.405082 + 0.463982i
\(309\) −6.40814 + 4.30582i −0.364546 + 0.244950i
\(310\) −8.42268 9.01284i −0.478376 0.511895i
\(311\) −3.74301 + 2.16103i −0.212247 + 0.122541i −0.602355 0.798228i \(-0.705771\pi\)
0.390108 + 0.920769i \(0.372438\pi\)
\(312\) 1.47302 4.84297i 0.0833935 0.274179i
\(313\) 13.7859 + 7.95932i 0.779228 + 0.449887i 0.836157 0.548491i \(-0.184797\pi\)
−0.0569286 + 0.998378i \(0.518131\pi\)
\(314\) −1.58630 6.83757i −0.0895199 0.385867i
\(315\) −17.4160 + 22.9420i −0.981280 + 1.29263i
\(316\) −11.7140 + 5.74442i −0.658966 + 0.323149i
\(317\) −28.7104 + 7.69292i −1.61253 + 0.432077i −0.948797 0.315888i \(-0.897698\pi\)
−0.663738 + 0.747965i \(0.731031\pi\)
\(318\) 0.427249 1.84470i 0.0239589 0.103446i
\(319\) 13.1712 7.60441i 0.737447 0.425765i
\(320\) −26.5682 13.3227i −1.48521 0.744763i
\(321\) −6.46396 + 7.40934i −0.360783 + 0.413549i
\(322\) 26.1398 13.9347i 1.45672 0.776553i
\(323\) −10.3149 + 10.3149i −0.573935 + 0.573935i
\(324\) −5.64705 + 17.0913i −0.313725 + 0.949514i
\(325\) −6.43149 6.43149i −0.356755 0.356755i
\(326\) −4.89604 + 16.0758i −0.271167 + 0.890357i
\(327\) −12.6437 11.0304i −0.699196 0.609983i
\(328\) 1.47440 + 3.28312i 0.0814101 + 0.181280i
\(329\) −9.32459 16.1507i −0.514082 0.890415i
\(330\) 16.1472 10.0741i 0.888873 0.554561i
\(331\) 0.509403 + 1.90112i 0.0279993 + 0.104495i 0.978511 0.206193i \(-0.0661074\pi\)
−0.950512 + 0.310688i \(0.899441\pi\)
\(332\) −15.1201 5.17005i −0.829823 0.283743i
\(333\) 16.0713 + 12.2003i 0.880704 + 0.668571i
\(334\) 9.86118 + 6.14727i 0.539580 + 0.336363i
\(335\) −5.39709 + 9.34803i −0.294874 + 0.510738i
\(336\) −1.20411 + 17.8642i −0.0656897 + 0.974571i
\(337\) 9.46585 + 16.3953i 0.515638 + 0.893111i 0.999835 + 0.0181522i \(0.00577834\pi\)
−0.484197 + 0.874959i \(0.660888\pi\)
\(338\) −0.570855 + 16.8652i −0.0310504 + 0.917346i
\(339\) −8.89617 13.2397i −0.483173 0.719083i
\(340\) 20.2208 + 23.1610i 1.09663 + 1.25608i
\(341\) 3.47208 3.47208i 0.188024 0.188024i
\(342\) −2.37634 + 14.7668i −0.128498 + 0.798496i
\(343\) −18.9205 −1.02161
\(344\) 0.680042 + 4.20607i 0.0366654 + 0.226776i
\(345\) −16.8924 49.3433i −0.909456 2.65655i
\(346\) −24.8634 26.6055i −1.33666 1.43032i
\(347\) −0.821032 + 3.06413i −0.0440753 + 0.164491i −0.984456 0.175634i \(-0.943803\pi\)
0.940380 + 0.340125i \(0.110469\pi\)
\(348\) 24.3356 + 6.51110i 1.30453 + 0.349031i
\(349\) −4.28490 15.9915i −0.229365 0.856003i −0.980608 0.195978i \(-0.937212\pi\)
0.751243 0.660026i \(-0.229455\pi\)
\(350\) 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 \(0.459514\pi\)
\(354\) 5.92080 + 19.4149i 0.314687 + 1.03189i
\(355\) 6.34099 23.6649i 0.336545 1.25600i
\(356\) 15.8237 23.5684i 0.838656 1.24912i
\(357\) 8.14899 16.6329i 0.431291 0.880309i
\(358\) −27.9157 8.50200i −1.47539 0.449344i
\(359\) 7.54182i 0.398042i 0.979995 + 0.199021i \(0.0637762\pi\)
−0.979995 + 0.199021i \(0.936224\pi\)
\(360\) 30.7140 + 7.10170i 1.61877 + 0.374292i
\(361\) 6.57197i 0.345893i
\(362\) 4.77461 15.6771i 0.250948 0.823970i
\(363\) −6.40090 9.52614i −0.335960 0.499993i
\(364\) 1.03028 + 5.24035i 0.0540013 + 0.274669i
\(365\) −8.44921 + 31.5329i −0.442252 + 1.65051i
\(366\) 12.5552 + 11.7244i 0.656272 + 0.612846i
\(367\) −20.6334 11.9127i −1.07706 0.621839i −0.146955 0.989143i \(-0.546947\pi\)
−0.930101 + 0.367304i \(0.880281\pi\)
\(368\) −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
\(371\) 0.517059 + 1.92969i 0.0268444 + 0.100185i
\(372\) 8.13326 0.00299720i 0.421690 0.000155398i
\(373\) −2.37087 + 8.84822i −0.122759 + 0.458143i −0.999750 0.0223639i \(-0.992881\pi\)
0.876991 + 0.480507i \(0.159547\pi\)
\(374\) −8.94163 + 8.35613i −0.462361 + 0.432085i
\(375\) 16.0857 18.4383i 0.830664 0.952152i
\(376\) −11.9440 + 16.5511i −0.615963 + 0.853557i
\(377\) 7.51422 0.387002
\(378\) −3.21818 18.7162i −0.165525 0.962656i
\(379\) 0.636018 0.636018i 0.0326701 0.0326701i −0.690583 0.723253i \(-0.742646\pi\)
0.723253 + 0.690583i \(0.242646\pi\)
\(380\) 26.1346 + 1.77124i 1.34068 + 0.0908628i
\(381\) −8.22190 + 0.560274i −0.421220 + 0.0287037i
\(382\) 7.93150 + 0.268466i 0.405811 + 0.0137359i
\(383\) 6.80598 + 11.7883i 0.347769 + 0.602354i 0.985853 0.167613i \(-0.0536060\pi\)
−0.638084 + 0.769967i \(0.720273\pi\)
\(384\) 18.3755 6.80752i 0.937719 0.347395i
\(385\) −10.0398 + 17.3895i −0.511678 + 0.886252i
\(386\) −18.8122 + 30.1778i −0.957518 + 1.53601i
\(387\) −1.75100 4.16614i −0.0890083 0.211777i
\(388\) 11.5278 + 23.5076i 0.585238 + 1.19342i
\(389\) −2.14427 8.00251i −0.108719 0.405744i 0.890022 0.455918i \(-0.150689\pi\)
−0.998740 + 0.0501744i \(0.984022\pi\)
\(390\) 9.39767 0.321561i 0.475869 0.0162828i
\(391\) 16.7688 + 29.0444i 0.848034 + 1.46884i
\(392\) 0.372263 + 0.828936i 0.0188021 + 0.0418676i
\(393\) −2.88801 + 14.7181i −0.145681 + 0.742428i
\(394\) −8.25914 2.51540i −0.416089 0.126724i
\(395\) −17.1370 17.1370i −0.862258 0.862258i
\(396\) −2.41162 + 12.3143i −0.121189 + 0.618816i
\(397\) −6.79264 + 6.79264i −0.340913 + 0.340913i −0.856710 0.515798i \(-0.827496\pi\)
0.515798 + 0.856710i \(0.327496\pi\)
\(398\) 9.75585 + 18.3008i 0.489017 + 0.917334i
\(399\) −5.11101 14.9294i −0.255870 0.747407i
\(400\) 4.75083 34.8882i 0.237542 1.74441i
\(401\) 5.01378 2.89471i 0.250376 0.144555i −0.369560 0.929207i \(-0.620492\pi\)
0.619936 + 0.784652i \(0.287158\pi\)
\(402\) −2.07597 6.80731i −0.103540 0.339518i
\(403\) 2.34335 0.627898i 0.116731 0.0312778i
\(404\) 7.72894 + 2.64278i 0.384529 + 0.131483i
\(405\) −33.4348 + 0.346272i −1.66139 + 0.0172064i
\(406\) −25.8907 + 6.00655i −1.28493 + 0.298100i
\(407\) 12.1817 + 7.03312i 0.603826 + 0.348619i
\(408\) −20.2601 0.678290i −1.00302 0.0335804i
\(409\) −11.5152 + 6.64832i −0.569392 + 0.328738i −0.756906 0.653523i \(-0.773290\pi\)
0.187515 + 0.982262i \(0.439957\pi\)
\(410\) −4.88453 + 4.56469i −0.241230 + 0.225434i
\(411\) 25.8064 + 12.6434i 1.27294 + 0.623650i
\(412\) −8.89433 0.602804i −0.438192 0.0296980i
\(413\) −15.1426 15.1426i −0.745120 0.745120i
\(414\) 31.3790 + 14.0641i 1.54220 + 0.691212i
\(415\) 29.6834i 1.45710i
\(416\) 4.77002 3.37823i 0.233870 0.165631i
\(417\) 2.37343 12.0956i 0.116227 0.592325i
\(418\) −0.352722 + 10.4207i −0.0172522 + 0.509694i
\(419\) −12.2948 3.29438i −0.600639 0.160941i −0.0543282 0.998523i \(-0.517302\pi\)
−0.546311 + 0.837582i \(0.683968\pi\)
\(420\) −32.1231 + 8.62006i −1.56745 + 0.420616i
\(421\) −6.42470 + 1.72149i −0.313121 + 0.0839004i −0.411957 0.911203i \(-0.635155\pi\)
0.0988365 + 0.995104i \(0.468488\pi\)
\(422\) −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
\(426\) 8.55023 + 13.7047i 0.414260 + 0.663993i
\(427\) −17.5064 4.69083i −0.847194 0.227005i
\(428\) −11.1405 + 2.19028i −0.538497 + 0.105871i
\(429\) 0.254468 + 3.73426i 0.0122858 + 0.180292i
\(430\) −6.98420 + 3.72317i −0.336808 + 0.179547i
\(431\) −37.3843 −1.80074 −0.900370 0.435126i \(-0.856704\pi\)
−0.900370 + 0.435126i \(0.856704\pi\)
\(432\) −17.2433 + 11.6047i −0.829617 + 0.558333i
\(433\) −18.8561 −0.906166 −0.453083 0.891468i \(-0.649676\pi\)
−0.453083 + 0.891468i \(0.649676\pi\)
\(434\) −7.57222 + 4.03663i −0.363478 + 0.193765i
\(435\) 3.18147 + 46.6873i 0.152540 + 2.23849i
\(436\) −3.73760 19.0107i −0.178998 0.910447i
\(437\) 27.5993 + 7.39522i 1.32026 + 0.353761i
\(438\) −11.3930 18.2611i −0.544377 0.872549i
\(439\) −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
\(443\) −9.20983 + 2.46777i −0.437572 + 0.117247i −0.470879 0.882198i \(-0.656063\pi\)
0.0333063 + 0.999445i \(0.489396\pi\)
\(444\) 6.03853 + 22.5029i 0.286576 + 1.06794i
\(445\) 50.9358 + 13.6482i 2.41459 + 0.646987i
\(446\) 1.37611 40.6553i 0.0651606 1.92509i
\(447\) −1.24976 + 6.36912i −0.0591117 + 0.301249i
\(448\) −13.7350 + 15.4528i −0.648915 + 0.730077i
\(449\) 7.54348i 0.355999i 0.984031 + 0.177999i \(0.0569625\pi\)
−0.984031 + 0.177999i \(0.943038\pi\)
\(450\) 3.81170 + 37.1510i 0.179685 + 1.75131i
\(451\) −1.88170 1.88170i −0.0886058 0.0886058i
\(452\) 1.24544 18.3764i 0.0585805 0.864352i
\(453\) 4.20969 + 2.06246i 0.197788 + 0.0969026i
\(454\) −8.63247 + 8.06722i −0.405142 + 0.378613i
\(455\) −8.59164 + 4.96039i −0.402782 + 0.232546i
\(456\) −12.6139 + 11.7967i −0.590701 + 0.552430i
\(457\) 5.15261 + 2.97486i 0.241029 + 0.139158i 0.615649 0.788020i \(-0.288894\pi\)
−0.374621 + 0.927178i \(0.622227\pi\)
\(458\) 26.4412 6.13428i 1.23552 0.286636i
\(459\) 21.0547 4.35832i 0.982750 0.203429i
\(460\) 19.4847 56.9839i 0.908477 2.65689i
\(461\) 23.8023 6.37780i 1.10858 0.297044i 0.342328 0.939581i \(-0.388785\pi\)
0.766255 + 0.642537i \(0.222118\pi\)
\(462\) −3.86179 12.6632i −0.179667 0.589144i
\(463\) 20.8183 12.0194i 0.967507 0.558590i 0.0690315 0.997614i \(-0.478009\pi\)
0.898475 + 0.439024i \(0.144676\pi\)
\(464\) 17.6054 + 23.1561i 0.817312 + 1.07499i
\(465\) 4.89341 + 14.2938i 0.226926 + 0.662861i
\(466\) −1.97097 3.69729i −0.0913033 0.171274i
\(467\) −25.3702 + 25.3702i −1.17399 + 1.17399i −0.192744 + 0.981249i \(0.561739\pi\)
−0.981249 + 0.192744i \(0.938261\pi\)
\(468\) −4.07394 + 4.67325i −0.188318 + 0.216021i
\(469\) 5.30936 + 5.30936i 0.245163 + 0.245163i
\(470\) −36.2698 11.0463i −1.67300 0.509529i
\(471\) −1.65530 + 8.43582i −0.0762720 + 0.388702i
\(472\) −8.32893 + 21.9078i −0.383370 + 1.00839i
\(473\) −1.57520 2.72833i −0.0724278 0.125449i
\(474\) 15.9696 0.546432i 0.733506 0.0250984i
\(475\) 8.03166 + 29.9745i 0.368518 + 1.37533i
\(476\) 19.2026 9.41673i 0.880150 0.431615i
\(477\) −1.40223 + 1.84715i −0.0642037 + 0.0845751i
\(478\) −7.69665 + 12.3466i −0.352037 + 0.564722i
\(479\) −0.498647 + 0.863682i −0.0227838 + 0.0394626i −0.877192 0.480139i \(-0.840586\pi\)
0.854409 + 0.519602i \(0.173920\pi\)
\(480\) 23.0092 + 28.2067i 1.05022 + 1.28746i
\(481\) 3.47486 + 6.01863i 0.158440 + 0.274426i
\(482\) 36.3873 + 1.23164i 1.65740 + 0.0560998i
\(483\) −36.1956 + 2.46651i −1.64695 + 0.112230i
\(484\) 0.896108 13.2220i 0.0407322 0.601001i
\(485\) −34.3904 + 34.3904i −1.56159 + 1.56159i
\(486\) 14.8786 16.2674i 0.674907 0.737903i
\(487\) −18.8397 −0.853709 −0.426855 0.904320i \(-0.640378\pi\)
−0.426855 + 0.904320i \(0.640378\pi\)
\(488\) 3.16597 + 19.5816i 0.143317 + 0.886416i
\(489\) 13.5303 15.5092i 0.611862 0.701350i
\(490\) −1.23327 + 1.15251i −0.0557134 + 0.0520653i
\(491\) 0.143358 0.535020i 0.00646966 0.0241451i −0.962616 0.270871i \(-0.912688\pi\)
0.969085 + 0.246726i \(0.0793549\pi\)
\(492\) −0.00162434 4.40784i −7.32309e−5 0.198721i
\(493\) −7.78824 29.0661i −0.350765 1.30907i
\(494\) −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
\(498\) 14.3039 + 13.3574i 0.640971 + 0.598558i
\(499\) 11.3041 42.1874i 0.506041 1.88857i 0.0497007 0.998764i \(-0.484173\pi\)
0.456340 0.889805i \(-0.349160\pi\)
\(500\) 27.7234 5.45057i 1.23983 0.243757i
\(501\) −7.93744 11.8129i −0.354619 0.527761i
\(502\) 9.76994 32.0789i 0.436054 1.43175i
\(503\) 20.7324i 0.924412i −0.886773 0.462206i \(-0.847058\pi\)
0.886773 0.462206i \(-0.152942\pi\)
\(504\) 10.3014 19.3585i 0.458860 0.862294i
\(505\) 15.1733i 0.675203i
\(506\) 22.9318 + 6.98409i 1.01944 + 0.310480i
\(507\) 9.09293 18.5596i 0.403831 0.824262i
\(508\) −7.90038 5.30428i −0.350523 0.235339i
\(509\) −2.59840 + 9.69736i −0.115172 + 0.429828i −0.999300 0.0374174i \(-0.988087\pi\)
0.884128 + 0.467245i \(0.154754\pi\)
\(510\) −10.9842 36.0183i −0.486389 1.59492i
\(511\) 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
\(515\) −4.28602 15.9956i −0.188865 0.704852i
\(516\) 1.34873 5.04095i 0.0593744 0.221916i
\(517\) 3.90607 14.5776i 0.171789 0.641124i
\(518\) −16.7838 17.9599i −0.737440 0.789111i
\(519\) 14.4451 + 42.1948i 0.634071 + 1.85214i
\(520\) 8.80465 + 6.35381i 0.386109 + 0.278633i
\(521\) 3.20573 0.140445 0.0702227 0.997531i \(-0.477629\pi\)
0.0702227 + 0.997531i \(0.477629\pi\)
\(522\) −23.9293 19.4759i −1.04736 0.852438i
\(523\) −28.1479 + 28.1479i −1.23082 + 1.23082i −0.267175 + 0.963648i \(0.586090\pi\)
−0.963648 + 0.267175i \(0.913910\pi\)
\(524\) −13.0465 + 11.3903i −0.569938 + 0.497588i
\(525\) −21.9752 32.7046i −0.959075 1.42734i
\(526\) 0.682313 20.1581i 0.0297502 0.878933i
\(527\) −4.85760 8.41362i −0.211601 0.366503i
\(528\) −10.9114 + 9.53335i −0.474858 + 0.414886i
\(529\) 21.3456 36.9717i 0.928070 1.60746i
\(530\) 3.44669 + 2.14860i 0.149715 + 0.0933293i
\(531\) 3.11714 24.6632i 0.135272 1.07029i
\(532\) 5.89533 17.2412i 0.255595 0.747501i
\(533\) −0.340291 1.26998i −0.0147396 0.0550091i
\(534\) −29.4976 + 18.4033i −1.27649 + 0.796390i
\(535\) −10.5453 18.2650i −0.455914 0.789666i
\(536\) 2.92032 7.68140i 0.126139 0.331786i
\(537\) 26.9318 + 23.4954i 1.16219 + 1.01390i
\(538\) −0.992123 + 3.25757i −0.0427735 + 0.140444i
\(539\) −0.475101 0.475101i −0.0204640 0.0204640i
\(540\) −30.7607 23.3336i −1.32373 1.00412i
\(541\) 14.6373 14.6373i 0.629307 0.629307i −0.318586 0.947894i \(-0.603208\pi\)
0.947894 + 0.318586i \(0.103208\pi\)
\(542\) 11.9261 6.35760i 0.512269 0.273082i
\(543\) −13.1947 + 15.1245i −0.566241 + 0.649056i
\(544\) −18.0115 14.9497i −0.772235 0.640964i
\(545\) 31.1683 17.9950i 1.33510 0.770822i
\(546\) 1.47588 6.37228i 0.0631617 0.272709i
\(547\) −17.0017 + 4.55558i −0.726938 + 0.194783i −0.603265 0.797541i \(-0.706134\pi\)
−0.123673 + 0.992323i \(0.539467\pi\)
\(548\) 14.6103 + 29.7933i 0.624120 + 1.27271i
\(549\) −8.15186 19.3957i −0.347913 0.827786i
\(550\) 5.88372 + 25.3612i 0.250882 + 1.08140i
\(551\) −22.2022 12.8185i −0.945847 0.546085i
\(552\) 18.6914 + 35.0317i 0.795560 + 1.49105i
\(553\) −14.5999 + 8.42924i −0.620850 + 0.358448i
\(554\) 2.13243 + 2.28185i 0.0905983 + 0.0969463i
\(555\) −35.9237 + 24.1382i −1.52487 + 1.02461i
\(556\) 10.7219 9.36078i 0.454708 0.396986i
\(557\) 8.32037 + 8.32037i 0.352546 + 0.352546i 0.861056 0.508510i \(-0.169804\pi\)
−0.508510 + 0.861056i \(0.669804\pi\)
\(558\) −9.08992 4.07410i −0.384807 0.172470i
\(559\) 1.55652i 0.0658337i
\(560\) −35.4159 14.8543i −1.49659 0.627710i
\(561\) 14.1809 4.85475i 0.598718 0.204968i
\(562\) −23.3539 0.790486i −0.985125 0.0333446i
\(563\) 21.6996 + 5.81439i 0.914529 + 0.245047i 0.685245 0.728312i \(-0.259695\pi\)
0.229284 + 0.973360i \(0.426362\pi\)
\(564\) 21.6442 12.5069i 0.911386 0.526637i
\(565\) 33.0482 8.85525i 1.39035 0.372543i
\(566\) −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 −0.979938 0.199304i \(-0.936132\pi\)
0.662571 + 0.748999i \(0.269465\pi\)
\(570\) −28.3158 15.0813i −1.18602 0.631687i
\(571\) 32.9434 + 8.82715i 1.37864 + 0.369405i 0.870626 0.491945i \(-0.163714\pi\)
0.508012 + 0.861350i \(0.330381\pi\)
\(572\) −2.40912 + 3.58823i −0.100730 + 0.150031i
\(573\) −8.72837 4.27630i −0.364633 0.178645i
\(574\) 2.18766 + 4.10378i 0.0913113 + 0.171289i
\(575\) 71.3446 2.97528
\(576\) −23.9463 1.60520i −0.997761 0.0668834i
\(577\) 19.9524 0.830629 0.415315 0.909678i \(-0.363671\pi\)
0.415315 + 0.909678i \(0.363671\pi\)
\(578\) 0.0812117 + 0.152343i 0.00337796 + 0.00633663i
\(579\) 36.1505 24.2906i 1.50237 1.00948i
\(580\) −30.1199 + 44.8616i −1.25066 + 1.86278i
\(581\) −19.9446 5.34414i −0.827442 0.221712i
\(582\) −1.09657 32.0476i −0.0454544 1.32841i
\(583\) −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
\(587\) −30.0156 + 8.04265i −1.23887 + 0.331955i −0.818029 0.575177i \(-0.804933\pi\)
−0.420846 + 0.907132i \(0.638267\pi\)
\(588\) −0.000410121 1.11291i −1.69131e−5 0.0458957i
\(589\) −7.99501 2.14226i −0.329429 0.0882701i
\(590\) −43.5126 1.47282i −1.79139 0.0606350i
\(591\) 7.96803 + 6.95136i 0.327761 + 0.285941i
\(592\) −10.4058 + 24.8096i −0.427675 + 1.01967i
\(593\) 38.3863i 1.57634i −0.615460 0.788168i \(-0.711030\pi\)
0.615460 0.788168i \(-0.288970\pi\)
\(594\) 8.86837 12.5514i 0.363873 0.514991i
\(595\) 28.0924 + 28.0924i 1.15168 + 1.15168i
\(596\) −5.64575 + 4.92906i −0.231259 + 0.201902i
\(597\) −1.72683 25.3409i −0.0706745 1.03713i
\(598\) 8.08667 + 8.65328i 0.330688 + 0.353859i
\(599\) −24.9602 + 14.4108i −1.01985 + 0.588809i −0.914060 0.405580i \(-0.867070\pi\)
−0.105787 + 0.994389i \(0.533736\pi\)
\(600\) −22.7993 + 36.6036i −0.930776 + 1.49434i
\(601\) 19.8695 + 11.4716i 0.810492 + 0.467938i 0.847127 0.531391i \(-0.178330\pi\)
−0.0366348 + 0.999329i \(0.511664\pi\)
\(602\) 1.24422 + 5.36307i 0.0507105 + 0.218582i
\(603\) −1.09294 + 8.64749i −0.0445080 + 0.352153i
\(604\) 2.38331 + 4.86005i 0.0969755 + 0.197753i
\(605\) 23.7786 6.37146i 0.966738 0.259037i
\(606\) −7.31171 6.82789i −0.297018 0.277364i
\(607\) −16.8592 + 9.73364i −0.684292 + 0.395076i −0.801470 0.598035i \(-0.795949\pi\)
0.117178 + 0.993111i \(0.462615\pi\)
\(608\) −19.8569 + 1.84449i −0.805302 + 0.0748038i
\(609\) 31.9425 + 6.26782i 1.29437 + 0.253985i
\(610\) −32.5153 + 17.3334i −1.31651 + 0.701809i
\(611\) 5.27251 5.27251i 0.213303 0.213303i
\(612\) 22.2993 + 10.9149i 0.901396 + 0.441210i
\(613\) −10.5918 10.5918i −0.427797 0.427797i 0.460080 0.887877i \(-0.347821\pi\)
−0.887877 + 0.460080i \(0.847821\pi\)
\(614\) 7.54751 24.7817i 0.304593 1.00011i
\(615\) 7.74658 2.65200i 0.312372 0.106939i
\(616\) 5.43247 14.2892i 0.218881 0.575728i
\(617\) 9.33080 + 16.1614i 0.375644 + 0.650634i 0.990423 0.138065i \(-0.0440882\pi\)
−0.614779 + 0.788699i \(0.710755\pi\)
\(618\) 9.63666 + 5.13260i 0.387643 + 0.206463i
\(619\) −5.62767 21.0028i −0.226195 0.844172i −0.981922 0.189285i \(-0.939383\pi\)
0.755727 0.654887i \(-0.227284\pi\)
\(620\) −5.64434 + 16.5072i −0.226682 + 0.662944i
\(621\) −28.0134 31.4470i −1.12414 1.26192i
\(622\) 5.18701 + 3.23348i 0.207980 + 0.129651i
\(623\) 18.3407 31.7671i 0.734807 1.27272i
\(624\) −7.02381 + 1.38360i −0.281178 + 0.0553885i
\(625\) 4.23597 + 7.33691i 0.169439 + 0.293477i
\(626\) 0.761565 22.4995i 0.0304383 0.899260i
\(627\) 5.61837 11.4677i 0.224376 0.457975i
\(628\) −7.47773 + 6.52848i −0.298394 + 0.260515i
\(629\) 19.6794 19.6794i 0.784667 0.784667i
\(630\) 40.2171 + 6.47193i 1.60229 + 0.257848i
\(631\) 26.5211 1.05579 0.527894 0.849310i \(-0.322982\pi\)
0.527894 + 0.849310i \(0.322982\pi\)
\(632\) 14.9618 + 10.7971i 0.595150 + 0.429486i
\(633\) 3.97072 + 0.779143i 0.157822 + 0.0309682i
\(634\) 28.7006 + 30.7116i 1.13985 + 1.21971i
\(635\) 4.57502 17.0742i 0.181554 0.677569i
\(636\) −2.58636 + 0.694034i −0.102556 + 0.0275203i
\(637\) −0.0859183 0.320651i −0.00340421 0.0127047i
\(638\) −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 \(0.656850\pi\)
\(642\) 13.5469 + 3.13757i 0.534653 + 0.123830i
\(643\) −9.02160 + 33.6691i −0.355777 + 1.32778i 0.523726 + 0.851887i \(0.324542\pi\)
−0.879503 + 0.475892i \(0.842125\pi\)
\(644\) −34.7801 23.3512i −1.37053 0.920167i
\(645\) 9.67095 0.659018i 0.380793 0.0259488i
\(646\) 19.7348 + 6.01042i 0.776455 + 0.236477i
\(647\) 7.73678i 0.304164i 0.988368 + 0.152082i \(0.0485978\pi\)
−0.988368 + 0.152082i \(0.951402\pi\)
\(648\) 25.0861 4.32299i 0.985475 0.169823i
\(649\) 17.3300i 0.680264i
\(650\) −3.74759 + 12.3050i −0.146993 + 0.482640i
\(651\) 10.4852 0.714503i 0.410946 0.0280036i
\(652\) 23.3192 4.58468i 0.913251 0.179550i
\(653\) 3.81636 14.2429i 0.149346 0.557366i −0.850178 0.526496i \(-0.823505\pi\)
0.999523 0.0308703i \(-0.00982788\pi\)
\(654\) −5.35411 + 23.1170i −0.209362 + 0.903948i
\(655\) −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
\(659\) 9.05703 + 33.8013i 0.352812 + 1.31671i 0.883216 + 0.468967i \(0.155374\pi\)
−0.530404 + 0.847745i \(0.677960\pi\)
\(660\) −23.3144 13.4491i −0.907510 0.523505i
\(661\) −9.59389 + 35.8049i −0.373159 + 1.39265i 0.482857 + 0.875699i \(0.339599\pi\)
−0.856016 + 0.516949i \(0.827068\pi\)
\(662\) 2.03364 1.90047i 0.0790395 0.0738640i
\(663\) 7.26698 + 1.42594i 0.282226 + 0.0553790i
\(664\) 3.60691 + 22.3088i 0.139975 + 0.865750i
\(665\) 33.8476 1.31255
\(666\) 4.53372 28.1729i 0.175678 1.09168i
\(667\) −41.6777 + 41.6777i −1.61377 + 1.61377i
\(668\) 1.11122 16.3960i 0.0429944 0.634380i
\(669\) −21.9195 + 44.7399i −0.847456 + 1.72975i
\(670\) 15.2565 + 0.516405i 0.589411 + 0.0199505i
\(671\) −7.33342 12.7019i −0.283103 0.490350i
\(672\) 23.0949 10.3818i 0.890906 0.400488i
\(673\) −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
\(675\) 14.3656 43.4248i 0.552931 1.67142i
\(676\) 21.4269 10.5075i 0.824113 0.404135i
\(677\) −5.58517 20.8441i −0.214655 0.801105i −0.986288 0.165036i \(-0.947226\pi\)
0.771632 0.636069i \(-0.219441\pi\)
\(678\) −10.6043 + 19.9101i −0.407257 + 0.764643i
\(679\) 16.9157 + 29.2989i 0.649165 + 1.12439i
\(680\) 15.4518 40.6432i 0.592548 1.55859i
\(681\) 13.6906 4.68689i 0.524624 0.179602i
\(682\) −6.64290 2.02316i −0.254370 0.0774707i
\(683\) 19.1487 + 19.1487i 0.732704 + 0.732704i 0.971155 0.238451i \(-0.0766395\pi\)
−0.238451 + 0.971155i \(0.576640\pi\)
\(684\) 20.0093 6.85831i 0.765075 0.262234i
\(685\) −43.5861 + 43.5861i −1.66534 + 1.66534i
\(686\) 12.5873 + 23.6122i 0.480584 + 0.901516i
\(687\) −32.6217 6.40110i −1.24460 0.244217i
\(688\) 4.79662 3.64684i 0.182869 0.139035i
\(689\) −0.691747 + 0.399380i −0.0263534 + 0.0152152i
\(690\) −50.3407 + 53.9078i −1.91644 + 2.05223i
\(691\) −32.7872 + 8.78531i −1.24728 + 0.334209i −0.821287 0.570516i \(-0.806743\pi\)
−0.425997 + 0.904724i \(0.640077\pi\)
\(692\) −16.6618 + 48.7285i −0.633388 + 1.85238i
\(693\) −2.03312 + 16.0863i −0.0772320 + 0.611070i
\(694\) 4.37014 1.01386i 0.165888 0.0384855i
\(695\) 22.8971 + 13.2197i 0.868538 + 0.501450i
\(696\) −8.06415 34.7016i −0.305671 1.31536i
\(697\) −4.55978 + 2.63259i −0.172714 + 0.0997165i
\(698\) −17.1062 + 15.9861i −0.647478 + 0.605081i
\(699\) 0.348870 + 5.11960i 0.0131955 + 0.193641i
\(700\) 3.07646 45.3931i 0.116279 1.71570i
\(701\) 28.6582 + 28.6582i 1.08240 + 1.08240i 0.996285 + 0.0861190i \(0.0274465\pi\)
0.0861190 + 0.996285i \(0.472553\pi\)
\(702\) 6.89522 3.17967i 0.260243 0.120009i
\(703\) 23.7109i 0.894275i
\(704\) −16.7020 + 0.983015i −0.629482 + 0.0370488i
\(705\) 34.9914 + 30.5268i 1.31785 + 1.14970i
\(706\) 1.08907 32.1753i 0.0409878 1.21093i
\(707\) 10.1951 + 2.73177i 0.383426 + 0.102739i
\(708\) 20.2901 20.3051i 0.762550 0.763112i
\(709\) −8.00146 + 2.14398i −0.300501 + 0.0805190i −0.405919 0.913909i \(-0.633049\pi\)
0.105418 + 0.994428i \(0.466382\pi\)
\(710\) −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
\(714\) −26.1786 + 0.895755i −0.979710 + 0.0335228i
\(715\) −7.75484 2.07790i −0.290014 0.0777091i
\(716\) 7.96131 + 40.4939i 0.297528 + 1.51333i
\(717\) 14.7903 9.93803i 0.552353 0.371142i
\(718\) 9.41192 5.01735i 0.351250 0.187246i
\(719\) 17.3387 0.646625 0.323312 0.946292i \(-0.395204\pi\)
0.323312 + 0.946292i \(0.395204\pi\)
\(720\) −11.5704 43.0545i −0.431205 1.60455i
\(721\) −11.5193 −0.429001
\(722\) −8.20159 + 4.37214i −0.305231 + 0.162714i
\(723\) −40.0431 19.6184i −1.48922 0.729615i
\(724\) −22.7409 + 4.47097i −0.845158 + 0.166162i
\(725\) −61.8325 16.5680i −2.29640 0.615318i
\(726\) −7.62995 + 14.3256i −0.283174 + 0.531671i
\(727\) 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
\(731\) −6.02084 + 1.61328i −0.222689 + 0.0596693i
\(732\) 6.27907 23.4684i 0.232081 0.867417i
\(733\) 0.461357 + 0.123620i 0.0170406 + 0.00456602i 0.267329 0.963605i \(-0.413859\pi\)
−0.250289 + 0.968171i \(0.580526\pi\)
\(734\) −1.13983 + 33.6750i −0.0420720 + 1.24297i
\(735\) 1.95589 0.669588i 0.0721442 0.0246981i
\(736\) −7.71958 + 45.1943i −0.284548 + 1.66588i
\(737\) 6.07632i 0.223824i
\(738\) −2.20797 + 4.92630i −0.0812765 + 0.181340i
\(739\) 35.7895 + 35.7895i 1.31654 + 1.31654i 0.916499 + 0.400038i \(0.131003\pi\)
0.400038 + 0.916499i \(0.368997\pi\)
\(740\) −49.8611 3.37928i −1.83293 0.124225i
\(741\) 5.23689 3.51883i 0.192382 0.129267i
\(742\) 2.06420 1.92904i 0.0757793 0.0708173i
\(743\) 40.8564 23.5884i 1.49888 0.865376i 0.498877 0.866673i \(-0.333746\pi\)
0.999999 + 0.00129681i \(0.000412789\pi\)
\(744\) −5.41456 10.1480i −0.198507 0.372045i
\(745\) −12.0568 6.96101i −0.441728 0.255032i
\(746\) 12.6195 2.92769i 0.462034 0.107190i
\(747\) −9.28722 22.0970i −0.339801 0.808487i
\(748\) 16.3768 + 5.59975i 0.598794 + 0.204747i
\(749\) −14.1710 + 3.79711i −0.517798 + 0.138743i
\(750\) −33.7118 7.80794i −1.23098 0.285106i
\(751\) 12.6419 7.29878i 0.461308 0.266336i −0.251286 0.967913i \(-0.580853\pi\)
0.712594 + 0.701577i \(0.247520\pi\)
\(752\) 28.6011 + 3.89471i 1.04298 + 0.142025i
\(753\) −26.9994 + 30.9482i −0.983914 + 1.12782i
\(754\) −4.99899 9.37748i −0.182053 0.341508i
\(755\) −7.11001 + 7.11001i −0.258760 + 0.258760i
\(756\) −21.2161 + 16.4675i −0.771624 + 0.598917i
\(757\) 22.1300 + 22.1300i 0.804329 + 0.804329i 0.983769 0.179440i \(-0.0574286\pi\)
−0.179440 + 0.983769i \(0.557429\pi\)
\(758\) −1.21685 0.370604i −0.0441981 0.0134609i
\(759\) −22.1235 19.3007i −0.803032 0.700570i
\(760\) −15.1761 33.7934i −0.550496 1.22581i
\(761\) −13.0131 22.5393i −0.471724 0.817050i 0.527753 0.849398i \(-0.323035\pi\)
−0.999477 + 0.0323484i \(0.989701\pi\)
\(762\) 6.16899 + 9.88790i 0.223479 + 0.358201i
\(763\) −6.47957 24.1821i −0.234576 0.875451i
\(764\) −4.94156 10.0768i −0.178779 0.364567i
\(765\) −5.78288 + 45.7549i −0.209080 + 1.65427i
\(766\) 10.1836 16.3360i 0.367947 0.590245i
\(767\) 4.28113 7.41513i 0.154583 0.267745i
\(768\) −20.7202 18.4031i −0.747676 0.664064i
\(769\) −17.7312 30.7114i −0.639404 1.10748i −0.985564 0.169305i \(-0.945848\pi\)
0.346159 0.938176i \(-0.387486\pi\)
\(770\) 28.3807 + 0.960633i 1.02277 + 0.0346188i
\(771\) −7.52724 11.2024i −0.271087 0.403445i
\(772\) 50.1760 + 3.40062i 1.80587 + 0.122391i
\(773\) −3.23556 + 3.23556i −0.116375 + 0.116375i −0.762896 0.646521i \(-0.776223\pi\)