Properties

Label 144.2.u.a.83.6
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 83.6
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09161 + 0.899102i) q^{2} +(-1.21512 - 1.23430i) q^{3} +(0.383232 - 1.96294i) q^{4} +(-0.726024 + 2.70956i) q^{5} +(2.43620 + 0.254855i) q^{6} +(-0.00424642 + 0.00735502i) q^{7} +(1.34654 + 2.48733i) q^{8} +(-0.0469689 + 2.99963i) q^{9} +O(q^{10})\) \(q+(-1.09161 + 0.899102i) q^{2} +(-1.21512 - 1.23430i) q^{3} +(0.383232 - 1.96294i) q^{4} +(-0.726024 + 2.70956i) q^{5} +(2.43620 + 0.254855i) q^{6} +(-0.00424642 + 0.00735502i) q^{7} +(1.34654 + 2.48733i) q^{8} +(-0.0469689 + 2.99963i) q^{9} +(-1.64363 - 3.61055i) q^{10} +(0.804193 + 3.00129i) q^{11} +(-2.88852 + 1.91219i) q^{12} +(-1.72108 + 6.42317i) q^{13} +(-0.00197747 - 0.0118468i) q^{14} +(4.22660 - 2.39631i) q^{15} +(-3.70627 - 1.50452i) q^{16} -3.37812i q^{17} +(-2.64570 - 3.31666i) q^{18} +(1.35881 - 1.35881i) q^{19} +(5.04046 + 2.46353i) q^{20} +(0.0142382 - 0.00369589i) q^{21} +(-3.57633 - 2.55319i) q^{22} +(-5.38718 + 3.11029i) q^{23} +(1.43389 - 4.68444i) q^{24} +(-2.48446 - 1.43441i) q^{25} +(-3.89633 - 8.55903i) q^{26} +(3.75950 - 3.58694i) q^{27} +(0.0128101 + 0.0111542i) q^{28} +(0.878030 + 3.27685i) q^{29} +(-2.45928 + 6.41598i) q^{30} +(6.70211 - 3.86947i) q^{31} +(5.39852 - 1.68996i) q^{32} +(2.72729 - 4.63954i) q^{33} +(3.03727 + 3.68759i) q^{34} +(-0.0168459 - 0.0168459i) q^{35} +(5.87010 + 1.24175i) q^{36} +(0.769697 - 0.769697i) q^{37} +(-0.261585 + 2.70501i) q^{38} +(10.0194 - 5.68059i) q^{39} +(-7.71719 + 1.84267i) q^{40} +(-2.64756 - 4.58570i) q^{41} +(-0.0122196 + 0.0168361i) q^{42} +(-5.99790 + 1.60713i) q^{43} +(6.19954 - 0.428394i) q^{44} +(-8.09358 - 2.30507i) q^{45} +(3.08424 - 8.23886i) q^{46} +(-0.0955284 + 0.165460i) q^{47} +(2.64653 + 6.40280i) q^{48} +(3.49996 + 6.06212i) q^{49} +(4.00175 - 0.667972i) q^{50} +(-4.16959 + 4.10482i) q^{51} +(11.9487 + 5.83994i) q^{52} +(-0.750557 - 0.750557i) q^{53} +(-0.878895 + 7.29572i) q^{54} -8.71603 q^{55} +(-0.0240124 - 0.000658413i) q^{56} +(-3.32830 - 0.0260560i) q^{57} +(-3.90469 - 2.78761i) q^{58} +(-9.08809 - 2.43515i) q^{59} +(-3.08404 - 9.21490i) q^{60} +(9.85796 - 2.64143i) q^{61} +(-3.83706 + 10.2498i) q^{62} +(-0.0218629 - 0.0130832i) q^{63} +(-4.37364 + 6.69860i) q^{64} +(-16.1544 - 9.32674i) q^{65} +(1.19428 + 7.51668i) q^{66} +(-7.77154 - 2.08238i) q^{67} +(-6.63104 - 1.29460i) q^{68} +(10.3851 + 2.87000i) q^{69} +(0.0335353 + 0.00324299i) q^{70} -1.02260i q^{71} +(-7.52433 + 3.92231i) q^{72} +7.30911i q^{73} +(-0.148174 + 1.53225i) q^{74} +(1.24844 + 4.80954i) q^{75} +(-2.14653 - 3.18801i) q^{76} +(-0.0254895 - 0.00682989i) q^{77} +(-5.82987 + 15.2095i) q^{78} +(4.36074 + 2.51768i) q^{79} +(6.76742 - 8.95003i) q^{80} +(-8.99559 - 0.281779i) q^{81} +(7.01311 + 2.62538i) q^{82} +(12.5030 - 3.35017i) q^{83} +(-0.00179829 - 0.0293651i) q^{84} +(9.15320 + 2.45259i) q^{85} +(5.10240 - 7.14709i) q^{86} +(2.97769 - 5.06552i) q^{87} +(-6.38232 + 6.04166i) q^{88} +18.1774 q^{89} +(10.9075 - 4.76071i) q^{90} +(-0.0399341 - 0.0399341i) q^{91} +(4.04078 + 11.7667i) q^{92} +(-12.9199 - 3.57052i) q^{93} +(-0.0444856 - 0.266508i) q^{94} +(2.69525 + 4.66831i) q^{95} +(-8.64576 - 4.60987i) q^{96} +(1.64497 - 2.84917i) q^{97} +(-9.27106 - 3.47065i) q^{98} +(-9.04054 + 2.27132i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09161 + 0.899102i −0.771886 + 0.635761i
\(3\) −1.21512 1.23430i −0.701550 0.712621i
\(4\) 0.383232 1.96294i 0.191616 0.981470i
\(5\) −0.726024 + 2.70956i −0.324688 + 1.21175i 0.589938 + 0.807449i \(0.299152\pi\)
−0.914625 + 0.404302i \(0.867514\pi\)
\(6\) 2.43620 + 0.254855i 0.994573 + 0.104044i
\(7\) −0.00424642 + 0.00735502i −0.00160500 + 0.00277994i −0.866827 0.498609i \(-0.833844\pi\)
0.865222 + 0.501389i \(0.167178\pi\)
\(8\) 1.34654 + 2.48733i 0.476075 + 0.879405i
\(9\) −0.0469689 + 2.99963i −0.0156563 + 0.999877i
\(10\) −1.64363 3.61055i −0.519762 1.14176i
\(11\) 0.804193 + 3.00129i 0.242473 + 0.904923i 0.974637 + 0.223794i \(0.0718442\pi\)
−0.732163 + 0.681129i \(0.761489\pi\)
\(12\) −2.88852 + 1.91219i −0.833844 + 0.552001i
\(13\) −1.72108 + 6.42317i −0.477342 + 1.78147i 0.134969 + 0.990850i \(0.456906\pi\)
−0.612312 + 0.790616i \(0.709760\pi\)
\(14\) −0.00197747 0.0118468i −0.000528501 0.00316619i
\(15\) 4.22660 2.39631i 1.09130 0.618724i
\(16\) −3.70627 1.50452i −0.926567 0.376130i
\(17\) 3.37812i 0.819314i −0.912240 0.409657i \(-0.865648\pi\)
0.912240 0.409657i \(-0.134352\pi\)
\(18\) −2.64570 3.31666i −0.623598 0.781745i
\(19\) 1.35881 1.35881i 0.311733 0.311733i −0.533848 0.845581i \(-0.679254\pi\)
0.845581 + 0.533848i \(0.179254\pi\)
\(20\) 5.04046 + 2.46353i 1.12708 + 0.550862i
\(21\) 0.0142382 0.00369589i 0.00310703 0.000806510i
\(22\) −3.57633 2.55319i −0.762477 0.544342i
\(23\) −5.38718 + 3.11029i −1.12331 + 0.648541i −0.942243 0.334931i \(-0.891287\pi\)
−0.181062 + 0.983472i \(0.557954\pi\)
\(24\) 1.43389 4.68444i 0.292692 0.956207i
\(25\) −2.48446 1.43441i −0.496893 0.286881i
\(26\) −3.89633 8.55903i −0.764133 1.67856i
\(27\) 3.75950 3.58694i 0.723517 0.690307i
\(28\) 0.0128101 + 0.0111542i 0.00242088 + 0.00210794i
\(29\) 0.878030 + 3.27685i 0.163046 + 0.608496i 0.998281 + 0.0586036i \(0.0186648\pi\)
−0.835235 + 0.549893i \(0.814669\pi\)
\(30\) −2.45928 + 6.41598i −0.449001 + 1.17139i
\(31\) 6.70211 3.86947i 1.20374 0.694977i 0.242352 0.970188i \(-0.422081\pi\)
0.961384 + 0.275212i \(0.0887479\pi\)
\(32\) 5.39852 1.68996i 0.954333 0.298745i
\(33\) 2.72729 4.63954i 0.474760 0.807640i
\(34\) 3.03727 + 3.68759i 0.520888 + 0.632417i
\(35\) −0.0168459 0.0168459i −0.00284747 0.00284747i
\(36\) 5.87010 + 1.24175i 0.978350 + 0.206959i
\(37\) 0.769697 0.769697i 0.126537 0.126537i −0.641002 0.767539i \(-0.721481\pi\)
0.767539 + 0.641002i \(0.221481\pi\)
\(38\) −0.261585 + 2.70501i −0.0424346 + 0.438810i
\(39\) 10.0194 5.68059i 1.60439 0.909623i
\(40\) −7.71719 + 1.84267i −1.22020 + 0.291352i
\(41\) −2.64756 4.58570i −0.413479 0.716166i 0.581789 0.813340i \(-0.302353\pi\)
−0.995267 + 0.0971739i \(0.969020\pi\)
\(42\) −0.0122196 + 0.0168361i −0.00188552 + 0.00259786i
\(43\) −5.99790 + 1.60713i −0.914672 + 0.245086i −0.685306 0.728255i \(-0.740332\pi\)
−0.229365 + 0.973340i \(0.573665\pi\)
\(44\) 6.19954 0.428394i 0.934617 0.0645828i
\(45\) −8.09358 2.30507i −1.20652 0.343619i
\(46\) 3.08424 8.23886i 0.454747 1.21475i
\(47\) −0.0955284 + 0.165460i −0.0139343 + 0.0241348i −0.872908 0.487884i \(-0.837769\pi\)
0.858974 + 0.512019i \(0.171102\pi\)
\(48\) 2.64653 + 6.40280i 0.381994 + 0.924165i
\(49\) 3.49996 + 6.06212i 0.499995 + 0.866016i
\(50\) 4.00175 0.667972i 0.565932 0.0944655i
\(51\) −4.16959 + 4.10482i −0.583860 + 0.574789i
\(52\) 11.9487 + 5.83994i 1.65699 + 0.809854i
\(53\) −0.750557 0.750557i −0.103097 0.103097i 0.653677 0.756774i \(-0.273226\pi\)
−0.756774 + 0.653677i \(0.773226\pi\)
\(54\) −0.878895 + 7.29572i −0.119603 + 0.992822i
\(55\) −8.71603 −1.17527
\(56\) −0.0240124 0.000658413i −0.00320879 8.79842e-5i
\(57\) −3.32830 0.0260560i −0.440844 0.00345120i
\(58\) −3.90469 2.78761i −0.512711 0.366031i
\(59\) −9.08809 2.43515i −1.18317 0.317029i −0.386986 0.922086i \(-0.626484\pi\)
−0.796182 + 0.605057i \(0.793150\pi\)
\(60\) −3.08404 9.21490i −0.398148 1.18964i
\(61\) 9.85796 2.64143i 1.26218 0.338201i 0.435152 0.900357i \(-0.356695\pi\)
0.827031 + 0.562156i \(0.190028\pi\)
\(62\) −3.83706 + 10.2498i −0.487307 + 1.30173i
\(63\) −0.0218629 0.0130832i −0.00275447 0.00164832i
\(64\) −4.37364 + 6.69860i −0.546705 + 0.837325i
\(65\) −16.1544 9.32674i −2.00371 1.15684i
\(66\) 1.19428 + 7.51668i 0.147006 + 0.925240i
\(67\) −7.77154 2.08238i −0.949445 0.254403i −0.249318 0.968422i \(-0.580206\pi\)
−0.700127 + 0.714019i \(0.746873\pi\)
\(68\) −6.63104 1.29460i −0.804132 0.156993i
\(69\) 10.3851 + 2.87000i 1.25022 + 0.345507i
\(70\) 0.0335353 + 0.00324299i 0.00400823 + 0.000387611i
\(71\) 1.02260i 0.121360i −0.998157 0.0606801i \(-0.980673\pi\)
0.998157 0.0606801i \(-0.0193269\pi\)
\(72\) −7.52433 + 3.92231i −0.886751 + 0.462248i
\(73\) 7.30911i 0.855467i 0.903905 + 0.427734i \(0.140688\pi\)
−0.903905 + 0.427734i \(0.859312\pi\)
\(74\) −0.148174 + 1.53225i −0.0172249 + 0.178120i
\(75\) 1.24844 + 4.80954i 0.144157 + 0.555357i
\(76\) −2.14653 3.18801i −0.246224 0.365690i
\(77\) −0.0254895 0.00682989i −0.00290480 0.000778338i
\(78\) −5.82987 + 15.2095i −0.660102 + 1.72213i
\(79\) 4.36074 + 2.51768i 0.490622 + 0.283261i 0.724832 0.688925i \(-0.241917\pi\)
−0.234211 + 0.972186i \(0.575251\pi\)
\(80\) 6.76742 8.95003i 0.756621 1.00064i
\(81\) −8.99559 0.281779i −0.999510 0.0313088i
\(82\) 7.01311 + 2.62538i 0.774469 + 0.289925i
\(83\) 12.5030 3.35017i 1.37238 0.367729i 0.504034 0.863684i \(-0.331849\pi\)
0.868348 + 0.495955i \(0.165182\pi\)
\(84\) −0.00179829 0.0293651i −0.000196210 0.00320399i
\(85\) 9.15320 + 2.45259i 0.992804 + 0.266021i
\(86\) 5.10240 7.14709i 0.550206 0.770691i
\(87\) 2.97769 5.06552i 0.319242 0.543080i
\(88\) −6.38232 + 6.04166i −0.680358 + 0.644043i
\(89\) 18.1774 1.92680 0.963399 0.268070i \(-0.0863859\pi\)
0.963399 + 0.268070i \(0.0863859\pi\)
\(90\) 10.9075 4.76071i 1.14975 0.501823i
\(91\) −0.0399341 0.0399341i −0.00418623 0.00418623i
\(92\) 4.04078 + 11.7667i 0.421280 + 1.22676i
\(93\) −12.9199 3.57052i −1.33973 0.370246i
\(94\) −0.0444856 0.266508i −0.00458833 0.0274882i
\(95\) 2.69525 + 4.66831i 0.276527 + 0.478959i
\(96\) −8.64576 4.60987i −0.882404 0.470493i
\(97\) 1.64497 2.84917i 0.167021 0.289289i −0.770350 0.637621i \(-0.779918\pi\)
0.937371 + 0.348332i \(0.113252\pi\)
\(98\) −9.27106 3.47065i −0.936519 0.350589i
\(99\) −9.04054 + 2.27132i −0.908608 + 0.228276i
\(100\) −3.76778 + 4.32714i −0.376778 + 0.432714i
\(101\) 2.66775 0.714822i 0.265451 0.0711275i −0.123638 0.992327i \(-0.539456\pi\)
0.389090 + 0.921200i \(0.372790\pi\)
\(102\) 0.860929 8.22975i 0.0852446 0.814867i
\(103\) 5.52502 + 9.56961i 0.544396 + 0.942922i 0.998645 + 0.0520466i \(0.0165744\pi\)
−0.454249 + 0.890875i \(0.650092\pi\)
\(104\) −18.2941 + 4.36817i −1.79388 + 0.428334i
\(105\) −0.000323029 0.0412625i −3.15244e−5 0.00402681i
\(106\) 1.49414 + 0.144490i 0.145124 + 0.0140341i
\(107\) −1.93562 + 1.93562i −0.187124 + 0.187124i −0.794451 0.607328i \(-0.792241\pi\)
0.607328 + 0.794451i \(0.292241\pi\)
\(108\) −5.60018 8.75431i −0.538878 0.842384i
\(109\) 5.98392 + 5.98392i 0.573155 + 0.573155i 0.933009 0.359853i \(-0.117173\pi\)
−0.359853 + 0.933009i \(0.617173\pi\)
\(110\) 9.51452 7.83660i 0.907174 0.747190i
\(111\) −1.88531 0.0147594i −0.178945 0.00140090i
\(112\) 0.0268042 0.0208708i 0.00253276 0.00197211i
\(113\) 11.7864 6.80488i 1.10877 0.640149i 0.170260 0.985399i \(-0.445539\pi\)
0.938511 + 0.345250i \(0.112206\pi\)
\(114\) 3.65663 2.96403i 0.342475 0.277607i
\(115\) −4.51629 16.8550i −0.421146 1.57174i
\(116\) 6.76876 0.467727i 0.628463 0.0434274i
\(117\) −19.1863 5.46430i −1.77377 0.505175i
\(118\) 12.1101 5.51288i 1.11483 0.507502i
\(119\) 0.0248461 + 0.0143449i 0.00227764 + 0.00131500i
\(120\) 11.6517 + 7.28622i 1.06365 + 0.665138i
\(121\) 1.16526 0.672766i 0.105933 0.0611605i
\(122\) −8.38615 + 11.7467i −0.759246 + 1.06350i
\(123\) −2.44301 + 8.84004i −0.220279 + 0.797079i
\(124\) −5.02707 14.6388i −0.451444 1.31460i
\(125\) −4.22728 + 4.22728i −0.378100 + 0.378100i
\(126\) 0.0356289 0.00537525i 0.00317408 0.000478865i
\(127\) 7.01184i 0.622200i 0.950377 + 0.311100i \(0.100697\pi\)
−0.950377 + 0.311100i \(0.899303\pi\)
\(128\) −1.24840 11.2446i −0.110344 0.993893i
\(129\) 9.27185 + 5.45032i 0.816340 + 0.479874i
\(130\) 26.0200 4.34327i 2.28211 0.380930i
\(131\) −2.15546 + 8.04427i −0.188323 + 0.702831i 0.805572 + 0.592498i \(0.201858\pi\)
−0.993895 + 0.110333i \(0.964808\pi\)
\(132\) −8.06195 7.13152i −0.701703 0.620719i
\(133\) 0.00422400 + 0.0157642i 0.000366268 + 0.00136693i
\(134\) 10.3558 4.71426i 0.894603 0.407250i
\(135\) 6.98953 + 12.7908i 0.601563 + 1.10086i
\(136\) 8.40250 4.54878i 0.720508 0.390055i
\(137\) 2.71852 4.70861i 0.232259 0.402284i −0.726214 0.687469i \(-0.758722\pi\)
0.958472 + 0.285185i \(0.0920550\pi\)
\(138\) −13.9169 + 6.20433i −1.18469 + 0.528148i
\(139\) 3.64349 13.5977i 0.309037 1.15334i −0.620378 0.784303i \(-0.713021\pi\)
0.929414 0.369038i \(-0.120313\pi\)
\(140\) −0.0395233 + 0.0266115i −0.00334033 + 0.00224909i
\(141\) 0.320305 0.0831435i 0.0269746 0.00700195i
\(142\) 0.919421 + 1.11628i 0.0771561 + 0.0936762i
\(143\) −20.6619 −1.72783
\(144\) 4.68709 11.0468i 0.390591 0.920564i
\(145\) −9.51629 −0.790285
\(146\) −6.57164 7.97871i −0.543873 0.660323i
\(147\) 3.22956 11.6862i 0.266370 0.963860i
\(148\) −1.21590 1.80584i −0.0999461 0.148439i
\(149\) 2.45769 9.17223i 0.201342 0.751419i −0.789191 0.614147i \(-0.789500\pi\)
0.990533 0.137271i \(-0.0438332\pi\)
\(150\) −5.68708 4.12767i −0.464348 0.337023i
\(151\) −2.26744 + 3.92732i −0.184522 + 0.319601i −0.943415 0.331614i \(-0.892407\pi\)
0.758893 + 0.651215i \(0.225740\pi\)
\(152\) 5.20952 + 1.55012i 0.422548 + 0.125731i
\(153\) 10.1331 + 0.158667i 0.819213 + 0.0128274i
\(154\) 0.0339654 0.0154621i 0.00273701 0.00124597i
\(155\) 5.61865 + 20.9691i 0.451301 + 1.68428i
\(156\) −7.31091 21.8445i −0.585341 1.74896i
\(157\) 5.12011 19.1085i 0.408629 1.52502i −0.388634 0.921392i \(-0.627053\pi\)
0.797263 0.603632i \(-0.206280\pi\)
\(158\) −7.02388 + 1.17243i −0.558790 + 0.0932733i
\(159\) −0.0143924 + 1.83843i −0.00114139 + 0.145797i
\(160\) 0.659586 + 15.8546i 0.0521449 + 1.25341i
\(161\) 0.0528305i 0.00416362i
\(162\) 10.0730 7.78036i 0.791412 0.611283i
\(163\) −6.31776 + 6.31776i −0.494845 + 0.494845i −0.909829 0.414984i \(-0.863787\pi\)
0.414984 + 0.909829i \(0.363787\pi\)
\(164\) −10.0161 + 3.43961i −0.782125 + 0.268588i
\(165\) 10.5910 + 10.7582i 0.824510 + 0.837521i
\(166\) −10.6363 + 14.8985i −0.825535 + 1.15635i
\(167\) 10.2973 5.94513i 0.796827 0.460048i −0.0455334 0.998963i \(-0.514499\pi\)
0.842360 + 0.538915i \(0.181165\pi\)
\(168\) 0.0283652 + 0.0304384i 0.00218843 + 0.00234837i
\(169\) −27.0366 15.6096i −2.07974 1.20074i
\(170\) −12.1969 + 5.55238i −0.935457 + 0.425848i
\(171\) 4.01212 + 4.13976i 0.306814 + 0.316575i
\(172\) 0.856120 + 12.3894i 0.0652786 + 0.944685i
\(173\) −0.125524 0.468462i −0.00954341 0.0356165i 0.960990 0.276583i \(-0.0892022\pi\)
−0.970533 + 0.240967i \(0.922536\pi\)
\(174\) 1.30393 + 8.20683i 0.0988509 + 0.622158i
\(175\) 0.0211002 0.0121822i 0.00159502 0.000920887i
\(176\) 1.53495 12.3335i 0.115701 0.929673i
\(177\) 8.03743 + 14.1764i 0.604130 + 1.06556i
\(178\) −19.8426 + 16.3433i −1.48727 + 1.22498i
\(179\) 6.91661 + 6.91661i 0.516971 + 0.516971i 0.916654 0.399682i \(-0.130880\pi\)
−0.399682 + 0.916654i \(0.630880\pi\)
\(180\) −7.62643 + 15.0038i −0.568440 + 1.11832i
\(181\) −2.19753 + 2.19753i −0.163341 + 0.163341i −0.784045 0.620704i \(-0.786847\pi\)
0.620704 + 0.784045i \(0.286847\pi\)
\(182\) 0.0794974 + 0.00768770i 0.00589274 + 0.000569850i
\(183\) −15.2389 8.95798i −1.12649 0.662193i
\(184\) −14.9904 9.21157i −1.10511 0.679086i
\(185\) 1.52672 + 2.64436i 0.112247 + 0.194417i
\(186\) 17.3138 7.71872i 1.26951 0.565964i
\(187\) 10.1387 2.71666i 0.741416 0.198662i
\(188\) 0.288179 + 0.250926i 0.0210176 + 0.0183007i
\(189\) 0.0104176 + 0.0428829i 0.000757766 + 0.00311927i
\(190\) −7.13946 2.67268i −0.517951 0.193896i
\(191\) −6.33144 + 10.9664i −0.458127 + 0.793499i −0.998862 0.0476936i \(-0.984813\pi\)
0.540735 + 0.841193i \(0.318146\pi\)
\(192\) 13.5825 2.74123i 0.980236 0.197831i
\(193\) 4.99499 + 8.65157i 0.359547 + 0.622754i 0.987885 0.155187i \(-0.0495979\pi\)
−0.628338 + 0.777940i \(0.716265\pi\)
\(194\) 0.766026 + 4.58918i 0.0549975 + 0.329484i
\(195\) 8.11757 + 31.2724i 0.581311 + 2.23946i
\(196\) 13.2409 4.54703i 0.945776 0.324788i
\(197\) 0.273888 + 0.273888i 0.0195137 + 0.0195137i 0.716796 0.697283i \(-0.245608\pi\)
−0.697283 + 0.716796i \(0.745608\pi\)
\(198\) 7.82661 10.6078i 0.556213 0.753861i
\(199\) −18.0544 −1.27984 −0.639920 0.768441i \(-0.721033\pi\)
−0.639920 + 0.768441i \(0.721033\pi\)
\(200\) 0.222406 8.11118i 0.0157265 0.573547i
\(201\) 6.87308 + 12.1227i 0.484790 + 0.855070i
\(202\) −2.26945 + 3.17889i −0.159678 + 0.223666i
\(203\) −0.0278298 0.00745698i −0.00195327 0.000523377i
\(204\) 6.45959 + 9.75776i 0.452262 + 0.683180i
\(205\) 14.3474 3.84438i 1.00207 0.268503i
\(206\) −14.6352 5.47874i −1.01968 0.381722i
\(207\) −9.07670 16.3057i −0.630874 1.13332i
\(208\) 16.0426 21.2166i 1.11235 1.47110i
\(209\) 5.17094 + 2.98544i 0.357681 + 0.206507i
\(210\) −0.0367466 0.0453330i −0.00253575 0.00312828i
\(211\) −2.33428 0.625467i −0.160698 0.0430589i 0.177573 0.984108i \(-0.443175\pi\)
−0.338271 + 0.941049i \(0.609842\pi\)
\(212\) −1.76094 + 1.18566i −0.120942 + 0.0814316i
\(213\) −1.26219 + 1.24258i −0.0864838 + 0.0851402i
\(214\) 0.372626 3.85327i 0.0254722 0.263404i
\(215\) 17.4185i 1.18793i
\(216\) 13.9842 + 4.52117i 0.951507 + 0.307627i
\(217\) 0.0657256i 0.00446175i
\(218\) −11.9123 1.15196i −0.806800 0.0780207i
\(219\) 9.02160 8.88145i 0.609623 0.600153i
\(220\) −3.34026 + 17.1090i −0.225200 + 1.15349i
\(221\) 21.6982 + 5.81402i 1.45958 + 0.391093i
\(222\) 2.07129 1.67897i 0.139016 0.112685i
\(223\) 0.0284597 + 0.0164312i 0.00190581 + 0.00110032i 0.500953 0.865475i \(-0.332983\pi\)
−0.499047 + 0.866575i \(0.666316\pi\)
\(224\) −0.0104947 + 0.0468825i −0.000701209 + 0.00313247i
\(225\) 4.41938 7.38511i 0.294626 0.492340i
\(226\) −6.74788 + 18.0254i −0.448863 + 1.19903i
\(227\) 17.9063 4.79797i 1.18848 0.318453i 0.390196 0.920732i \(-0.372407\pi\)
0.798285 + 0.602279i \(0.205741\pi\)
\(228\) −1.32665 + 6.52326i −0.0878598 + 0.432013i
\(229\) −26.3567 7.06225i −1.74170 0.466687i −0.758875 0.651236i \(-0.774251\pi\)
−0.982823 + 0.184549i \(0.940918\pi\)
\(230\) 20.0844 + 14.3385i 1.32433 + 0.945455i
\(231\) 0.0225427 + 0.0397607i 0.00148320 + 0.00261606i
\(232\) −6.96832 + 6.59638i −0.457493 + 0.433073i
\(233\) −7.42838 −0.486649 −0.243325 0.969945i \(-0.578238\pi\)
−0.243325 + 0.969945i \(0.578238\pi\)
\(234\) 25.8570 11.2855i 1.69032 0.737759i
\(235\) −0.378968 0.378968i −0.0247211 0.0247211i
\(236\) −8.26289 + 16.9061i −0.537868 + 1.10050i
\(237\) −2.19127 8.44172i −0.142338 0.548349i
\(238\) −0.0400199 + 0.00668012i −0.00259410 + 0.000433008i
\(239\) 2.67225 + 4.62848i 0.172854 + 0.299391i 0.939416 0.342778i \(-0.111368\pi\)
−0.766563 + 0.642169i \(0.778035\pi\)
\(240\) −19.2702 + 2.52235i −1.24389 + 0.162817i
\(241\) −10.9314 + 18.9337i −0.704151 + 1.21963i 0.262845 + 0.964838i \(0.415339\pi\)
−0.966997 + 0.254788i \(0.917994\pi\)
\(242\) −0.667131 + 1.78209i −0.0428848 + 0.114557i
\(243\) 10.5829 + 11.4456i 0.678894 + 0.734236i
\(244\) −1.40709 20.3629i −0.0900799 1.30360i
\(245\) −18.9667 + 5.08211i −1.21174 + 0.324684i
\(246\) −5.28128 11.8464i −0.336722 0.755299i
\(247\) 6.38925 + 11.0665i 0.406538 + 0.704145i
\(248\) 18.6493 + 11.4600i 1.18423 + 0.727709i
\(249\) −19.3277 11.3615i −1.22484 0.720008i
\(250\) 0.813793 8.41531i 0.0514688 0.532231i
\(251\) 18.4081 18.4081i 1.16191 1.16191i 0.177854 0.984057i \(-0.443085\pi\)
0.984057 0.177854i \(-0.0569155\pi\)
\(252\) −0.0340600 + 0.0379017i −0.00214558 + 0.00238758i
\(253\) −13.6672 13.6672i −0.859251 0.859251i
\(254\) −6.30436 7.65421i −0.395571 0.480268i
\(255\) −8.09501 14.2779i −0.506929 0.894120i
\(256\) 11.4728 + 11.1523i 0.717052 + 0.697020i
\(257\) −6.96658 + 4.02216i −0.434563 + 0.250895i −0.701289 0.712877i \(-0.747392\pi\)
0.266726 + 0.963773i \(0.414058\pi\)
\(258\) −15.0216 + 2.38670i −0.935207 + 0.148589i
\(259\) 0.00239268 + 0.00892960i 0.000148674 + 0.000554858i
\(260\) −24.4987 + 28.1358i −1.51935 + 1.74491i
\(261\) −9.87060 + 2.47986i −0.610975 + 0.153499i
\(262\) −4.87970 10.7192i −0.301469 0.662234i
\(263\) −3.65553 2.11052i −0.225409 0.130140i 0.383043 0.923730i \(-0.374876\pi\)
−0.608452 + 0.793590i \(0.708209\pi\)
\(264\) 15.2125 + 0.536330i 0.936264 + 0.0330089i
\(265\) 2.57860 1.48876i 0.158402 0.0914535i
\(266\) −0.0187846 0.0134106i −0.00115176 0.000822255i
\(267\) −22.0877 22.4363i −1.35174 1.37308i
\(268\) −7.06588 + 14.4570i −0.431618 + 0.883104i
\(269\) −13.7834 + 13.7834i −0.840386 + 0.840386i −0.988909 0.148523i \(-0.952548\pi\)
0.148523 + 0.988909i \(0.452548\pi\)
\(270\) −19.1301 7.67828i −1.16422 0.467285i
\(271\) 14.3202i 0.869889i −0.900457 0.434945i \(-0.856768\pi\)
0.900457 0.434945i \(-0.143232\pi\)
\(272\) −5.08245 + 12.5202i −0.308169 + 0.759149i
\(273\) −0.000765759 0.0978152i −4.63459e−5 0.00592004i
\(274\) 1.26596 + 7.58420i 0.0764792 + 0.458178i
\(275\) 2.30708 8.61014i 0.139122 0.519211i
\(276\) 9.61353 19.2854i 0.578666 1.16085i
\(277\) 1.71354 + 6.39501i 0.102956 + 0.384239i 0.998105 0.0615286i \(-0.0195975\pi\)
−0.895149 + 0.445767i \(0.852931\pi\)
\(278\) 8.24843 + 18.1193i 0.494708 + 1.08672i
\(279\) 11.2922 + 20.2856i 0.676046 + 1.21447i
\(280\) 0.0192176 0.0645849i 0.00114847 0.00385969i
\(281\) 1.84037 3.18761i 0.109787 0.190157i −0.805897 0.592056i \(-0.798316\pi\)
0.915684 + 0.401899i \(0.131650\pi\)
\(282\) −0.274894 + 0.378747i −0.0163697 + 0.0225541i
\(283\) −1.12390 + 4.19445i −0.0668089 + 0.249334i −0.991251 0.131987i \(-0.957864\pi\)
0.924442 + 0.381321i \(0.124531\pi\)
\(284\) −2.00730 0.391892i −0.119111 0.0232545i
\(285\) 2.48702 8.99929i 0.147318 0.533072i
\(286\) 22.5547 18.5771i 1.33369 1.09849i
\(287\) 0.0449706 0.00265453
\(288\) 4.81569 + 16.2730i 0.283767 + 0.958893i
\(289\) 5.58832 0.328725
\(290\) 10.3881 8.55612i 0.610010 0.502433i
\(291\) −5.51555 + 1.43170i −0.323327 + 0.0839280i
\(292\) 14.3474 + 2.80108i 0.839615 + 0.163921i
\(293\) 3.93269 14.6770i 0.229750 0.857439i −0.750695 0.660649i \(-0.770281\pi\)
0.980446 0.196791i \(-0.0630520\pi\)
\(294\) 6.98164 + 15.6605i 0.407177 + 0.913338i
\(295\) 13.1963 22.8567i 0.768320 1.33077i
\(296\) 2.95092 + 0.878062i 0.171519 + 0.0510363i
\(297\) 13.7888 + 8.39877i 0.800108 + 0.487346i
\(298\) 5.56393 + 12.2222i 0.322310 + 0.708015i
\(299\) −10.7061 39.9558i −0.619152 2.31071i
\(300\) 9.91927 0.607448i 0.572689 0.0350710i
\(301\) 0.0136491 0.0509393i 0.000786723 0.00293609i
\(302\) −1.05590 6.32577i −0.0607602 0.364007i
\(303\) −4.12394 2.42420i −0.236914 0.139267i
\(304\) −7.08049 + 2.99176i −0.406094 + 0.171589i
\(305\) 28.6285i 1.63926i
\(306\) −11.2041 + 8.93750i −0.640494 + 0.510923i
\(307\) 23.4294 23.4294i 1.33718 1.33718i 0.438408 0.898776i \(-0.355543\pi\)
0.898776 0.438408i \(-0.144457\pi\)
\(308\) −0.0231751 + 0.0474169i −0.00132052 + 0.00270183i
\(309\) 5.09817 18.4477i 0.290025 1.04945i
\(310\) −24.9867 17.8384i −1.41915 1.01315i
\(311\) −25.9086 + 14.9583i −1.46914 + 0.848210i −0.999401 0.0345940i \(-0.988986\pi\)
−0.469741 + 0.882804i \(0.655653\pi\)
\(312\) 27.6211 + 17.2724i 1.56374 + 0.977859i
\(313\) 13.0513 + 7.53519i 0.737705 + 0.425914i 0.821234 0.570591i \(-0.193286\pi\)
−0.0835293 + 0.996505i \(0.526619\pi\)
\(314\) 11.5913 + 25.4626i 0.654136 + 1.43694i
\(315\) 0.0513226 0.0497401i 0.00289170 0.00280254i
\(316\) 6.61322 7.59502i 0.372023 0.427253i
\(317\) 5.40325 + 20.1652i 0.303477 + 1.13259i 0.934248 + 0.356623i \(0.116072\pi\)
−0.630772 + 0.775969i \(0.717261\pi\)
\(318\) −1.63722 2.01979i −0.0918108 0.113264i
\(319\) −9.12868 + 5.27045i −0.511108 + 0.295088i
\(320\) −14.9749 16.7140i −0.837121 0.934340i
\(321\) 4.74114 + 0.0371167i 0.264625 + 0.00207165i
\(322\) 0.0475000 + 0.0576703i 0.00264707 + 0.00321384i
\(323\) −4.59023 4.59023i −0.255407 0.255407i
\(324\) −4.00051 + 17.5498i −0.222250 + 0.974990i
\(325\) 13.4894 13.4894i 0.748257 0.748257i
\(326\) 1.21623 12.5769i 0.0673608 0.696567i
\(327\) 0.114745 14.6571i 0.00634542 0.810539i
\(328\) 7.84111 12.7602i 0.432953 0.704564i
\(329\) −0.000811309 0.00140523i −4.47289e−5 7.74727e-5i
\(330\) −21.2340 2.22132i −1.16889 0.122280i
\(331\) −18.4453 + 4.94242i −1.01385 + 0.271660i −0.727236 0.686387i \(-0.759196\pi\)
−0.286612 + 0.958047i \(0.592529\pi\)
\(332\) −1.78463 25.8265i −0.0979446 1.41741i
\(333\) 2.27266 + 2.34496i 0.124541 + 0.128503i
\(334\) −5.89534 + 15.7481i −0.322579 + 0.861696i
\(335\) 11.2846 19.5456i 0.616546 1.06789i
\(336\) −0.0583311 0.00772369i −0.00318222 0.000421362i
\(337\) −9.91944 17.1810i −0.540346 0.935907i −0.998884 0.0472324i \(-0.984960\pi\)
0.458538 0.888675i \(-0.348373\pi\)
\(338\) 43.5481 7.26906i 2.36871 0.395385i
\(339\) −22.7211 6.27915i −1.23404 0.341036i
\(340\) 8.32209 17.0273i 0.451329 0.923434i
\(341\) 17.0032 + 17.0032i 0.920774 + 0.920774i
\(342\) −8.10174 0.911709i −0.438092 0.0492996i
\(343\) −0.118899 −0.00641996
\(344\) −12.0739 12.7547i −0.650982 0.687687i
\(345\) −15.3162 + 26.0553i −0.824599 + 1.40277i
\(346\) 0.558219 + 0.398520i 0.0300100 + 0.0214245i
\(347\) 20.9225 + 5.60618i 1.12318 + 0.300955i 0.772170 0.635416i \(-0.219171\pi\)
0.351011 + 0.936372i \(0.385838\pi\)
\(348\) −8.80216 7.78630i −0.471845 0.417389i
\(349\) 1.59139 0.426410i 0.0851849 0.0228252i −0.215975 0.976399i \(-0.569293\pi\)
0.301160 + 0.953574i \(0.402626\pi\)
\(350\) −0.0120802 + 0.0322694i −0.000645712 + 0.00172487i
\(351\) 16.5691 + 30.3213i 0.884393 + 1.61843i
\(352\) 9.41351 + 14.8435i 0.501742 + 0.791160i
\(353\) −3.91868 2.26245i −0.208570 0.120418i 0.392076 0.919933i \(-0.371757\pi\)
−0.600647 + 0.799514i \(0.705090\pi\)
\(354\) −21.5198 8.24863i −1.14376 0.438410i
\(355\) 2.77079 + 0.742431i 0.147058 + 0.0394042i
\(356\) 6.96615 35.6811i 0.369205 1.89110i
\(357\) −0.0124852 0.0480983i −0.000660784 0.00254563i
\(358\) −13.7690 1.33151i −0.727713 0.0703727i
\(359\) 11.0661i 0.584046i −0.956411 0.292023i \(-0.905672\pi\)
0.956411 0.292023i \(-0.0943284\pi\)
\(360\) −5.16487 23.2353i −0.272213 1.22461i
\(361\) 15.3073i 0.805645i
\(362\) 0.423045 4.37465i 0.0222348 0.229926i
\(363\) −2.24633 0.620789i −0.117902 0.0325830i
\(364\) −0.0936923 + 0.0630842i −0.00491081 + 0.00330651i
\(365\) −19.8045 5.30659i −1.03661 0.277760i
\(366\) 24.6891 3.92270i 1.29052 0.205043i
\(367\) 4.77772 + 2.75842i 0.249395 + 0.143988i 0.619487 0.785007i \(-0.287341\pi\)
−0.370092 + 0.928995i \(0.620674\pi\)
\(368\) 24.6458 3.42244i 1.28475 0.178407i
\(369\) 13.8798 7.72631i 0.722552 0.402215i
\(370\) −4.04413 1.51393i −0.210244 0.0787056i
\(371\) 0.00870755 0.00233318i 0.000452074 0.000121133i
\(372\) −11.9600 + 23.9927i −0.620100 + 1.24396i
\(373\) −8.16763 2.18851i −0.422904 0.113317i 0.0410893 0.999155i \(-0.486917\pi\)
−0.463993 + 0.885839i \(0.653584\pi\)
\(374\) −8.62498 + 12.0813i −0.445987 + 0.624708i
\(375\) 10.3544 + 0.0810606i 0.534697 + 0.00418595i
\(376\) −0.540187 0.0148118i −0.0278580 0.000763860i
\(377\) −22.5589 −1.16184
\(378\) −0.0499280 0.0374450i −0.00256802 0.00192596i
\(379\) 20.4820 + 20.4820i 1.05209 + 1.05209i 0.998566 + 0.0535254i \(0.0170458\pi\)
0.0535254 + 0.998566i \(0.482954\pi\)
\(380\) 10.1965 3.50157i 0.523071 0.179627i
\(381\) 8.65468 8.52023i 0.443393 0.436504i
\(382\) −2.94842 17.6636i −0.150854 0.903750i
\(383\) −2.14427 3.71398i −0.109567 0.189776i 0.806028 0.591878i \(-0.201613\pi\)
−0.915595 + 0.402102i \(0.868280\pi\)
\(384\) −12.3622 + 15.2045i −0.630857 + 0.775899i
\(385\) 0.0370120 0.0641066i 0.00188630 0.00326718i
\(386\) −13.2312 4.95315i −0.673452 0.252109i
\(387\) −4.53909 18.0670i −0.230735 0.918397i
\(388\) −4.96234 4.32086i −0.251925 0.219359i
\(389\) −15.6680 + 4.19823i −0.794400 + 0.212859i −0.633124 0.774051i \(-0.718228\pi\)
−0.161276 + 0.986909i \(0.551561\pi\)
\(390\) −36.9783 26.8388i −1.87247 1.35904i
\(391\) 10.5069 + 18.1985i 0.531358 + 0.920339i
\(392\) −10.3656 + 16.8685i −0.523544 + 0.851987i
\(393\) 12.5481 7.11428i 0.632970 0.358868i
\(394\) −0.545232 0.0527260i −0.0274684 0.00265630i
\(395\) −9.98779 + 9.98779i −0.502540 + 0.502540i
\(396\) 0.993838 + 18.6165i 0.0499423 + 0.935513i
\(397\) −2.22738 2.22738i −0.111789 0.111789i 0.649000 0.760789i \(-0.275188\pi\)
−0.760789 + 0.649000i \(0.775188\pi\)
\(398\) 19.7084 16.2327i 0.987891 0.813673i
\(399\) 0.0143250 0.0243691i 0.000717147 0.00121998i
\(400\) 7.04999 + 9.05422i 0.352500 + 0.452711i
\(401\) 7.43343 4.29169i 0.371208 0.214317i −0.302778 0.953061i \(-0.597914\pi\)
0.673986 + 0.738744i \(0.264581\pi\)
\(402\) −18.4023 7.05369i −0.917823 0.351806i
\(403\) 13.3193 + 49.7085i 0.663484 + 2.47616i
\(404\) −0.380786 5.51058i −0.0189448 0.274162i
\(405\) 7.29451 24.1695i 0.362467 1.20099i
\(406\) 0.0370839 0.0168817i 0.00184045 0.000837826i
\(407\) 2.92907 + 1.69110i 0.145189 + 0.0838246i
\(408\) −15.8246 4.84385i −0.783433 0.239806i
\(409\) 32.0886 18.5263i 1.58668 0.916068i 0.592828 0.805329i \(-0.298012\pi\)
0.993850 0.110739i \(-0.0353218\pi\)
\(410\) −12.2053 + 17.0963i −0.602777 + 0.844328i
\(411\) −9.11514 + 2.36607i −0.449617 + 0.116710i
\(412\) 20.9019 7.17790i 1.02976 0.353630i
\(413\) 0.0565024 0.0565024i 0.00278030 0.00278030i
\(414\) 24.5687 + 9.63856i 1.20748 + 0.473709i
\(415\) 36.3099i 1.78238i
\(416\) 1.56359 + 37.5842i 0.0766612 + 1.84272i
\(417\) −21.2108 + 12.0257i −1.03870 + 0.588900i
\(418\) −8.32888 + 1.39026i −0.407379 + 0.0679997i
\(419\) −5.35101 + 19.9702i −0.261414 + 0.975609i 0.702995 + 0.711195i \(0.251845\pi\)
−0.964409 + 0.264415i \(0.914821\pi\)
\(420\) 0.0808720 + 0.0164472i 0.00394615 + 0.000802540i
\(421\) 2.50791 + 9.35966i 0.122228 + 0.456162i 0.999726 0.0234192i \(-0.00745525\pi\)
−0.877497 + 0.479581i \(0.840789\pi\)
\(422\) 3.11048 1.41598i 0.151416 0.0689290i
\(423\) −0.491833 0.294322i −0.0239137 0.0143104i
\(424\) 0.856228 2.87754i 0.0415821 0.139746i
\(425\) −4.84559 + 8.39281i −0.235046 + 0.407111i
\(426\) 0.260614 2.49125i 0.0126268 0.120702i
\(427\) −0.0224333 + 0.0837222i −0.00108562 + 0.00405160i
\(428\) 3.05772 + 4.54130i 0.147800 + 0.219512i
\(429\) 25.1066 + 25.5028i 1.21216 + 1.23129i
\(430\) 15.6610 + 19.0142i 0.755240 + 0.916947i
\(431\) 25.3669 1.22188 0.610941 0.791676i \(-0.290791\pi\)
0.610941 + 0.791676i \(0.290791\pi\)
\(432\) −19.3304 + 7.63790i −0.930032 + 0.367479i
\(433\) −10.5243 −0.505764 −0.252882 0.967497i \(-0.581378\pi\)
−0.252882 + 0.967497i \(0.581378\pi\)
\(434\) −0.0590940 0.0717468i −0.00283660 0.00344396i
\(435\) 11.5634 + 11.7459i 0.554424 + 0.563174i
\(436\) 14.0393 9.45285i 0.672360 0.452709i
\(437\) −3.09387 + 11.5465i −0.148000 + 0.552343i
\(438\) −1.86276 + 17.8064i −0.0890061 + 0.850824i
\(439\) 1.65348 2.86391i 0.0789163 0.136687i −0.823866 0.566784i \(-0.808187\pi\)
0.902783 + 0.430097i \(0.141521\pi\)
\(440\) −11.7365 21.6797i −0.559516 1.03354i
\(441\) −18.3485 + 10.2139i −0.873738 + 0.486375i
\(442\) −28.9134 + 13.1623i −1.37527 + 0.626065i
\(443\) −1.45346 5.42439i −0.0690560 0.257721i 0.922764 0.385366i \(-0.125925\pi\)
−0.991820 + 0.127645i \(0.959258\pi\)
\(444\) −0.751481 + 3.69509i −0.0356637 + 0.175361i
\(445\) −13.1972 + 49.2527i −0.625608 + 2.33480i
\(446\) −0.0458403 + 0.00765168i −0.00217060 + 0.000362317i
\(447\) −14.3076 + 8.11184i −0.676728 + 0.383677i
\(448\) −0.0306960 0.0606134i −0.00145025 0.00286371i
\(449\) 3.76456i 0.177661i 0.996047 + 0.0888303i \(0.0283129\pi\)
−0.996047 + 0.0888303i \(0.971687\pi\)
\(450\) 1.81571 + 12.0351i 0.0855935 + 0.567342i
\(451\) 11.6339 11.6339i 0.547818 0.547818i
\(452\) −8.84065 25.7438i −0.415829 1.21089i
\(453\) 7.60269 1.97348i 0.357206 0.0927220i
\(454\) −15.2328 + 21.3371i −0.714912 + 1.00140i
\(455\) 0.137197 0.0792106i 0.00643189 0.00371345i
\(456\) −4.41688 8.31366i −0.206840 0.389323i
\(457\) −18.4633 10.6598i −0.863675 0.498643i 0.00156649 0.999999i \(-0.499501\pi\)
−0.865241 + 0.501356i \(0.832835\pi\)
\(458\) 35.1209 15.9881i 1.64109 0.747075i
\(459\) −12.1171 12.7000i −0.565578 0.592787i
\(460\) −34.8162 + 2.40583i −1.62331 + 0.112172i
\(461\) −10.0471 37.4962i −0.467938 1.74637i −0.646959 0.762525i \(-0.723960\pi\)
0.179021 0.983845i \(-0.442707\pi\)
\(462\) −0.0603568 0.0231351i −0.00280805 0.00107634i
\(463\) −7.29597 + 4.21233i −0.339073 + 0.195764i −0.659862 0.751387i \(-0.729385\pi\)
0.320789 + 0.947151i \(0.396052\pi\)
\(464\) 1.67588 13.4659i 0.0778008 0.625139i
\(465\) 19.0547 32.4150i 0.883641 1.50321i
\(466\) 8.10891 6.67887i 0.375638 0.309393i
\(467\) −19.4539 19.4539i −0.900219 0.900219i 0.0952358 0.995455i \(-0.469639\pi\)
−0.995455 + 0.0952358i \(0.969639\pi\)
\(468\) −18.0789 + 35.5675i −0.835697 + 1.64411i
\(469\) 0.0483172 0.0483172i 0.00223108 0.00223108i
\(470\) 0.754416 + 0.0729550i 0.0347986 + 0.00336516i
\(471\) −29.8071 + 16.8994i −1.37344 + 0.778683i
\(472\) −6.18049 25.8841i −0.284480 1.19141i
\(473\) −9.64695 16.7090i −0.443567 0.768281i
\(474\) 9.98198 + 7.24491i 0.458488 + 0.332770i
\(475\) −5.32501 + 1.42683i −0.244328 + 0.0654676i
\(476\) 0.0376800 0.0432740i 0.00172706 0.00198346i
\(477\) 2.28665 2.21614i 0.104698 0.101470i
\(478\) −7.07854 2.64987i −0.323765 0.121202i
\(479\) −10.4276 + 18.0611i −0.476450 + 0.825235i −0.999636 0.0269835i \(-0.991410\pi\)
0.523186 + 0.852218i \(0.324743\pi\)
\(480\) 18.7677 20.0793i 0.856625 0.916491i
\(481\) 3.61918 + 6.26860i 0.165020 + 0.285824i
\(482\) −5.09051 30.4966i −0.231866 1.38908i
\(483\) −0.0652084 + 0.0641953i −0.00296708 + 0.00292099i
\(484\) −0.874033 2.54517i −0.0397288 0.115689i
\(485\) 6.52570 + 6.52570i 0.296317 + 0.296317i
\(486\) −21.8432 2.97904i −0.990828 0.135132i
\(487\) 34.0126 1.54126 0.770629 0.637284i \(-0.219942\pi\)
0.770629 + 0.637284i \(0.219942\pi\)
\(488\) 19.8443 + 20.9632i 0.898309 + 0.948961i
\(489\) 15.4748 + 0.121147i 0.699795 + 0.00547844i
\(490\) 16.1349 22.6007i 0.728902 1.02100i
\(491\) 1.41342 + 0.378725i 0.0637868 + 0.0170916i 0.290571 0.956853i \(-0.406155\pi\)
−0.226785 + 0.973945i \(0.572821\pi\)
\(492\) 16.4162 + 8.18327i 0.740101 + 0.368930i
\(493\) 11.0696 2.96609i 0.498550 0.133586i
\(494\) −16.9245 6.33574i −0.761469 0.285059i
\(495\) 0.409383 26.1449i 0.0184004 1.17513i
\(496\) −30.6615 + 4.25781i −1.37674 + 0.191181i
\(497\) 0.00752124 + 0.00434239i 0.000337374 + 0.000194783i
\(498\) 31.3135 4.97522i 1.40319 0.222945i
\(499\) −35.2078 9.43390i −1.57612 0.422319i −0.638396 0.769708i \(-0.720402\pi\)
−0.937721 + 0.347389i \(0.887068\pi\)
\(500\) 6.67788 + 9.91793i 0.298644 + 0.443543i
\(501\) −19.8505 5.48583i −0.886854 0.245089i
\(502\) −3.54374 + 36.6453i −0.158165 + 1.63556i
\(503\) 10.8529i 0.483908i −0.970288 0.241954i \(-0.922212\pi\)
0.970288 0.241954i \(-0.0777882\pi\)
\(504\) 0.00310283 0.0719974i 0.000138211 0.00320702i
\(505\) 7.74741i 0.344755i
\(506\) 27.2075 + 2.63107i 1.20952 + 0.116965i
\(507\) 13.5859 + 52.3387i 0.603370 + 2.32444i
\(508\) 13.7638 + 2.68716i 0.610671 + 0.119223i
\(509\) 3.94598 + 1.05732i 0.174903 + 0.0468650i 0.345207 0.938526i \(-0.387809\pi\)
−0.170305 + 0.985391i \(0.554475\pi\)
\(510\) 21.6739 + 8.30773i 0.959738 + 0.367873i
\(511\) −0.0537587 0.0310376i −0.00237814 0.00137302i
\(512\) −22.5509 1.85875i −0.996620 0.0821460i
\(513\) 0.234485 9.98244i 0.0103528 0.440736i
\(514\) 3.98847 10.6543i 0.175924 0.469941i
\(515\) −29.9407 + 8.02259i −1.31934 + 0.353517i
\(516\) 14.2519 16.1113i 0.627406 0.709262i
\(517\) −0.573417 0.153647i −0.0252189 0.00675737i
\(518\) −0.0106405 0.00759639i −0.000467516 0.000333766i
\(519\) −0.425694 + 0.724171i −0.0186859 + 0.0317876i
\(520\) 1.44612 52.7402i 0.0634167 2.31281i
\(521\) 13.4286 0.588318 0.294159 0.955757i \(-0.404961\pi\)
0.294159 + 0.955757i \(0.404961\pi\)
\(522\) 8.54521 11.5817i 0.374014 0.506918i
\(523\) 23.5806 + 23.5806i 1.03111 + 1.03111i 0.999500 + 0.0316083i \(0.0100629\pi\)
0.0316083 + 0.999500i \(0.489937\pi\)
\(524\) 14.9644 + 7.31385i 0.653722 + 0.319507i
\(525\) −0.0406757 0.0112410i −0.00177523 0.000490599i
\(526\) 5.88799 0.982823i 0.256728 0.0428531i
\(527\) −13.0715 22.6405i −0.569404 0.986237i
\(528\) −17.0883 + 13.0921i −0.743674 + 0.569761i
\(529\) 7.84782 13.5928i 0.341210 0.590992i
\(530\) −1.47629 + 3.94357i −0.0641258 + 0.171298i
\(531\) 7.73140 27.1465i 0.335514 1.17806i
\(532\) 0.0325629 0.00225013i 0.00141178 9.75554e-5i
\(533\) 34.0114 9.11332i 1.47320 0.394742i
\(534\) 44.2837 + 4.63259i 1.91634 + 0.200472i
\(535\) −3.83937 6.64999i −0.165991 0.287504i
\(536\) −5.28515 22.1344i −0.228284 0.956061i
\(537\) 0.132630 16.9416i 0.00572340 0.731086i
\(538\) 2.65343 27.4387i 0.114397 1.18297i
\(539\) −15.3795 + 15.3795i −0.662443 + 0.662443i
\(540\) 27.7862 8.81818i 1.19573 0.379474i
\(541\) −31.9545 31.9545i −1.37383 1.37383i −0.854684 0.519148i \(-0.826249\pi\)
−0.519148 0.854684i \(-0.673751\pi\)
\(542\) 12.8753 + 15.6321i 0.553042 + 0.671455i
\(543\) 5.38266 + 0.0421388i 0.230992 + 0.00180835i
\(544\) −5.70888 18.2368i −0.244766 0.781898i
\(545\) −20.5582 + 11.8693i −0.880618 + 0.508425i
\(546\) −0.0871099 0.107465i −0.00372796 0.00459906i
\(547\) 2.76131 + 10.3053i 0.118065 + 0.440625i 0.999498 0.0316846i \(-0.0100872\pi\)
−0.881433 + 0.472309i \(0.843421\pi\)
\(548\) −8.20090 7.14078i −0.350325 0.305039i
\(549\) 7.46031 + 29.6943i 0.318398 + 1.26732i
\(550\) 5.22296 + 11.4732i 0.222708 + 0.489220i
\(551\) 5.64571 + 3.25955i 0.240515 + 0.138862i
\(552\) 6.84533 + 29.6957i 0.291357 + 1.26393i
\(553\) −0.0370351 + 0.0213822i −0.00157489 + 0.000909265i
\(554\) −7.62028 5.44022i −0.323755 0.231133i
\(555\) 1.40877 5.09763i 0.0597989 0.216382i
\(556\) −25.2951 12.3630i −1.07275 0.524309i
\(557\) 11.6850 11.6850i 0.495109 0.495109i −0.414802 0.909912i \(-0.636149\pi\)
0.909912 + 0.414802i \(0.136149\pi\)
\(558\) −30.5655 11.9912i −1.29394 0.507628i
\(559\) 41.2915i 1.74645i
\(560\) 0.0370903 + 0.0877802i 0.00156735 + 0.00370939i
\(561\) −15.6729 9.21309i −0.661711 0.388977i
\(562\) 0.857020 + 5.13431i 0.0361512 + 0.216578i
\(563\) 2.31677 8.64631i 0.0976403 0.364398i −0.899766 0.436372i \(-0.856263\pi\)
0.997407 + 0.0719737i \(0.0229298\pi\)
\(564\) −0.0404547 0.660603i −0.00170345 0.0278164i
\(565\) 9.88100 + 36.8764i 0.415697 + 1.55140i
\(566\) −2.54438 5.58921i −0.106948 0.234932i
\(567\) 0.0402716 0.0649662i 0.00169125 0.00272832i
\(568\) 2.54354 1.37697i 0.106725 0.0577765i
\(569\) 6.28570 10.8872i 0.263510 0.456413i −0.703662 0.710535i \(-0.748453\pi\)
0.967172 + 0.254122i \(0.0817864\pi\)
\(570\) 5.37642 + 12.0598i 0.225193 + 0.505130i
\(571\) −3.72510 + 13.9023i −0.155890 + 0.581791i 0.843137 + 0.537699i \(0.180706\pi\)
−0.999027 + 0.0440924i \(0.985960\pi\)
\(572\) −7.91828 + 40.5580i −0.331080 + 1.69582i
\(573\) 21.2292 5.51059i 0.886863 0.230208i
\(574\) −0.0490904 + 0.0404331i −0.00204899 + 0.00168765i
\(575\) 17.8457 0.744216
\(576\) −19.8879 13.4339i −0.828663 0.559748i
\(577\) 17.0561 0.710056 0.355028 0.934856i \(-0.384471\pi\)
0.355028 + 0.934856i \(0.384471\pi\)
\(578\) −6.10028 + 5.02447i −0.253738 + 0.208990i
\(579\) 4.60908 16.6780i 0.191547 0.693113i
\(580\) −3.64694 + 18.6799i −0.151431 + 0.775641i
\(581\) −0.0284525 + 0.106186i −0.00118041 + 0.00440534i
\(582\) 4.73359 6.52190i 0.196214 0.270342i
\(583\) 1.64905 2.85623i 0.0682965 0.118293i
\(584\) −18.1802 + 9.84204i −0.752302 + 0.407266i
\(585\) 28.7356 48.0192i 1.18807 1.98535i
\(586\) 8.90315 + 19.5575i 0.367786 + 0.807912i
\(587\) 4.63428 + 17.2954i 0.191277 + 0.713856i 0.993199 + 0.116427i \(0.0371441\pi\)
−0.801922 + 0.597428i \(0.796189\pi\)
\(588\) −21.7016 10.8180i −0.894959 0.446125i
\(589\) 3.84904 14.3648i 0.158597 0.591891i
\(590\) 6.14525 + 36.8155i 0.252996 + 1.51567i
\(591\) 0.00525195 0.670864i 0.000216037 0.0275957i
\(592\) −4.01073 + 1.69468i −0.164840 + 0.0696508i
\(593\) 25.5455i 1.04903i −0.851402 0.524514i \(-0.824247\pi\)
0.851402 0.524514i \(-0.175753\pi\)
\(594\) −22.6034 + 3.22935i −0.927428 + 0.132502i
\(595\) −0.0569073 + 0.0569073i −0.00233297 + 0.00233297i
\(596\) −17.0627 8.33939i −0.698914 0.341595i
\(597\) 21.9382 + 22.2844i 0.897872 + 0.912041i
\(598\) 47.6113 + 33.9904i 1.94697 + 1.38997i
\(599\) 1.66118 0.959083i 0.0678740 0.0391871i −0.465679 0.884954i \(-0.654190\pi\)
0.533553 + 0.845767i \(0.320857\pi\)
\(600\) −10.2818 + 9.58153i −0.419754 + 0.391164i
\(601\) 7.76786 + 4.48478i 0.316858 + 0.182938i 0.649991 0.759942i \(-0.274773\pi\)
−0.333133 + 0.942880i \(0.608106\pi\)
\(602\) 0.0309000 + 0.0678779i 0.00125939 + 0.00276650i
\(603\) 6.61139 23.2140i 0.269237 0.945345i
\(604\) 6.84015 + 5.95593i 0.278322 + 0.242343i
\(605\) 0.976888 + 3.64579i 0.0397161 + 0.148223i
\(606\) 6.68135 1.06156i 0.271411 0.0431229i
\(607\) 20.1239 11.6185i 0.816802 0.471581i −0.0325103 0.999471i \(-0.510350\pi\)
0.849312 + 0.527890i \(0.177017\pi\)
\(608\) 5.03924 9.63192i 0.204368 0.390626i
\(609\) 0.0246125 + 0.0434113i 0.000997347 + 0.00175912i
\(610\) −25.7399 31.2512i −1.04218 1.26532i
\(611\) −0.898366 0.898366i −0.0363440 0.0363440i
\(612\) 4.19478 19.8299i 0.169564 0.801575i
\(613\) 18.6158 18.6158i 0.751886 0.751886i −0.222945 0.974831i \(-0.571567\pi\)
0.974831 + 0.222945i \(0.0715670\pi\)
\(614\) −4.51038 + 46.6411i −0.182024 + 1.88228i
\(615\) −22.1789 13.0376i −0.894340 0.525725i
\(616\) −0.0173345 0.0725976i −0.000698427 0.00292504i
\(617\) 18.3062 + 31.7073i 0.736981 + 1.27649i 0.953849 + 0.300288i \(0.0970827\pi\)
−0.216868 + 0.976201i \(0.569584\pi\)
\(618\) 11.0212 + 24.7215i 0.443336 + 0.994445i
\(619\) −25.6443 + 6.87138i −1.03073 + 0.276184i −0.734268 0.678860i \(-0.762474\pi\)
−0.296465 + 0.955044i \(0.595808\pi\)
\(620\) 43.3143 2.99306i 1.73954 0.120204i
\(621\) −9.09671 + 31.0166i −0.365039 + 1.24465i
\(622\) 14.8331 39.6232i 0.594752 1.58875i
\(623\) −0.0771889 + 0.133695i −0.00309251 + 0.00535638i
\(624\) −45.6812 + 5.97939i −1.82871 + 0.239367i
\(625\) −15.5570 26.9455i −0.622280 1.07782i
\(626\) −21.0219 + 3.50898i −0.840204 + 0.140247i
\(627\) −2.59839 10.0101i −0.103770 0.399766i
\(628\) −35.5467 17.3734i −1.41847 0.693276i
\(629\) −2.60013 2.60013i −0.103674 0.103674i
\(630\) −0.0113029 + 0.100441i −0.000450318 + 0.00400167i
\(631\) −28.2467 −1.12449 −0.562243 0.826972i \(-0.690061\pi\)
−0.562243 + 0.826972i \(0.690061\pi\)
\(632\) −0.390369 + 14.2368i −0.0155280 + 0.566308i
\(633\) 2.06441 + 3.64120i 0.0820530 + 0.144725i
\(634\) −24.0288 17.1545i −0.954307 0.681293i
\(635\) −18.9990 5.09076i −0.753952 0.202021i
\(636\) 3.60320 + 0.732794i 0.142876 + 0.0290572i
\(637\) −44.9617 + 12.0475i −1.78145 + 0.477338i
\(638\) 5.22631 13.9609i 0.206911 0.552717i
\(639\) 3.06742 + 0.0480304i 0.121345 + 0.00190005i
\(640\) 31.3743 + 4.78124i 1.24018 + 0.188995i
\(641\) 14.4080 + 8.31845i 0.569081 + 0.328559i 0.756782 0.653667i \(-0.226770\pi\)
−0.187701 + 0.982226i \(0.560104\pi\)
\(642\) −5.20886 + 4.22225i −0.205577 + 0.166639i
\(643\) 5.68404 + 1.52303i 0.224157 + 0.0600626i 0.369149 0.929370i \(-0.379649\pi\)
−0.144993 + 0.989433i \(0.546316\pi\)
\(644\) −0.103703 0.0202463i −0.00408647 0.000797816i
\(645\) −21.4995 + 21.1655i −0.846544 + 0.833392i
\(646\) 9.13783 + 0.883664i 0.359523 + 0.0347673i
\(647\) 37.4518i 1.47238i 0.676773 + 0.736192i \(0.263378\pi\)
−0.676773 + 0.736192i \(0.736622\pi\)
\(648\) −11.4121 22.7544i −0.448308 0.893879i
\(649\) 29.2343i 1.14755i
\(650\) −2.59684 + 26.8535i −0.101856 + 1.05328i
\(651\) 0.0811248 0.0798645i 0.00317953 0.00313014i
\(652\) 9.98022 + 14.8226i 0.390856 + 0.580496i
\(653\) −21.2854 5.70340i −0.832962 0.223191i −0.182956 0.983121i \(-0.558567\pi\)
−0.650005 + 0.759930i \(0.725233\pi\)
\(654\) 13.0530 + 16.1030i 0.510411 + 0.629678i
\(655\) −20.2315 11.6807i −0.790510 0.456401i
\(656\) 2.91326 + 20.9791i 0.113744 + 0.819098i
\(657\) −21.9247 0.343301i −0.855362 0.0133935i
\(658\) 0.00214908 0.000804514i 8.37797e−5 3.13632e-5i
\(659\) −23.8609 + 6.39350i −0.929487 + 0.249055i −0.691636 0.722246i \(-0.743110\pi\)
−0.237851 + 0.971302i \(0.576443\pi\)
\(660\) 25.1764 16.6667i 0.979991 0.648749i
\(661\) 3.57782 + 0.958674i 0.139161 + 0.0372881i 0.327727 0.944772i \(-0.393717\pi\)
−0.188566 + 0.982060i \(0.560384\pi\)
\(662\) 15.6914 21.9794i 0.609864 0.854255i
\(663\) −19.1897 33.8467i −0.745267 1.31450i
\(664\) 25.1688 + 26.5879i 0.976739 + 1.03181i
\(665\) −0.0457807 −0.00177530
\(666\) −4.58921 0.516436i −0.177828 0.0200115i
\(667\) −14.9221 14.9221i −0.577785 0.577785i
\(668\) −7.72370 22.4913i −0.298839 0.870214i
\(669\) −0.0143010 0.0550936i −0.000552908 0.00213004i
\(670\) 5.25502 + 31.4822i 0.203019 + 1.21626i
\(671\) 15.8554 + 27.4624i 0.612091 + 1.06017i
\(672\) 0.0706192 0.0440143i 0.00272420 0.00169789i
\(673\) 17.3782 30.0999i 0.669880 1.16027i −0.308058 0.951368i \(-0.599679\pi\)
0.977937 0.208898i \(-0.0669877\pi\)
\(674\) 26.2756 + 9.83636i 1.01210 + 0.378883i
\(675\) −14.4855 + 3.51896i −0.557546 + 0.135445i
\(676\) −41.0020 + 47.0892i −1.57700 + 1.81112i
\(677\) −24.4928 + 6.56283i −0.941335 + 0.252230i −0.696681 0.717381i \(-0.745341\pi\)
−0.244654 + 0.969611i \(0.578674\pi\)
\(678\) 30.4482 13.5742i 1.16936 0.521314i
\(679\) 0.0139705 + 0.0241976i 0.000536137 + 0.000928617i
\(680\) 6.22477 + 26.0696i 0.238709 + 0.999723i
\(681\) −27.6804 16.2715i −1.06071 0.623526i
\(682\) −33.8485 3.27328i −1.29613 0.125340i
\(683\) −1.88928 + 1.88928i −0.0722912 + 0.0722912i −0.742328 0.670037i \(-0.766278\pi\)
0.670037 + 0.742328i \(0.266278\pi\)
\(684\) 9.66367 6.28906i 0.369500 0.240468i
\(685\) 10.7845 + 10.7845i 0.412056 + 0.412056i
\(686\) 0.129792 0.106903i 0.00495548 0.00408156i
\(687\) 23.3096 + 41.1134i 0.889317 + 1.56857i
\(688\) 24.6478 + 3.06751i 0.939688 + 0.116948i
\(689\) 6.11273 3.52918i 0.232876 0.134451i
\(690\) −6.70699 42.2131i −0.255331 1.60703i
\(691\) −5.19868 19.4017i −0.197767 0.738077i −0.991533 0.129854i \(-0.958549\pi\)
0.793766 0.608223i \(-0.208117\pi\)
\(692\) −0.967668 + 0.0668667i −0.0367852 + 0.00254189i
\(693\) 0.0216844 0.0761384i 0.000823722 0.00289226i
\(694\) −27.8798 + 12.6917i −1.05830 + 0.481771i
\(695\) 34.1985 + 19.7445i 1.29722 + 0.748951i
\(696\) 16.6092 + 0.585574i 0.629571 + 0.0221961i
\(697\) −15.4910 + 8.94375i −0.586765 + 0.338769i
\(698\) −1.35379 + 1.89629i −0.0512416 + 0.0717757i
\(699\) 9.02637 + 9.16881i 0.341409 + 0.346796i
\(700\) −0.0158267 0.0460870i −0.000598192 0.00174192i
\(701\) −10.9010 + 10.9010i −0.411725 + 0.411725i −0.882339 0.470614i \(-0.844032\pi\)
0.470614 + 0.882339i \(0.344032\pi\)
\(702\) −45.3490 18.2018i −1.71159 0.686984i
\(703\) 2.09175i 0.0788918i
\(704\) −23.6217 7.73960i −0.890276 0.291697i
\(705\) −0.00726692 + 0.928249i −0.000273688 + 0.0349599i
\(706\) 6.31185 1.05358i 0.237550 0.0396518i
\(707\) −0.00607088 + 0.0226568i −0.000228319 + 0.000852098i
\(708\) 30.9076 10.3441i 1.16158 0.388757i
\(709\) −4.14803 15.4807i −0.155783 0.581389i −0.999037 0.0438741i \(-0.986030\pi\)
0.843254 0.537515i \(-0.180637\pi\)
\(710\) −3.69215 + 1.68078i −0.138564 + 0.0630784i
\(711\) −7.75692 + 12.9624i −0.290907 + 0.486127i
\(712\) 24.4766 + 45.2132i 0.917300 + 1.69444i
\(713\) −24.0703 + 41.6911i −0.901441 + 1.56134i
\(714\) 0.0568742 + 0.0412792i 0.00212846 + 0.00154483i
\(715\) 15.0010 55.9845i 0.561006 2.09370i
\(716\) 16.2275 10.9262i 0.606452 0.408332i
\(717\) 2.46580 8.92251i 0.0920871 0.333217i
\(718\) 9.94954 + 12.0799i 0.371314 + 0.450817i
\(719\) 21.7763 0.812119 0.406060 0.913847i \(-0.366903\pi\)
0.406060 + 0.913847i \(0.366903\pi\)
\(720\) 26.5289 + 20.7202i 0.988675 + 0.772195i
\(721\) −0.0938463 −0.00349502
\(722\) −13.7628 16.7096i −0.512198 0.621866i
\(723\) 36.6527 9.51416i 1.36313 0.353835i
\(724\) 3.47145 + 5.15578i 0.129016 + 0.191613i
\(725\) 2.51890 9.40068i 0.0935497 0.349132i
\(726\) 3.01027 1.34202i 0.111722 0.0498069i
\(727\) −2.62325 + 4.54360i −0.0972908 + 0.168513i −0.910562 0.413372i \(-0.864351\pi\)
0.813272 + 0.581884i \(0.197684\pi\)
\(728\) 0.0455564 0.153102i 0.00168843 0.00567435i
\(729\) 1.26775 26.9702i 0.0469536 0.998897i
\(730\) 26.3899 12.0135i 0.976736 0.444639i
\(731\) 5.42908 + 20.2616i 0.200802 + 0.749403i
\(732\) −23.4240 + 26.4801i −0.865776 + 0.978732i
\(733\) −3.41408 + 12.7415i −0.126102 + 0.470618i −0.999877 0.0157124i \(-0.994998\pi\)
0.873775 + 0.486331i \(0.161665\pi\)
\(734\) −7.69552 + 1.28454i −0.284047 + 0.0474131i
\(735\) 29.3196 + 17.2351i 1.08147 + 0.635728i
\(736\) −23.8266 + 25.8951i −0.878258 + 0.954506i
\(737\) 24.9993i 0.920860i
\(738\) −8.20458 + 20.9135i −0.302015 + 0.769835i
\(739\) −23.2424 + 23.2424i −0.854984 + 0.854984i −0.990742 0.135758i \(-0.956653\pi\)
0.135758 + 0.990742i \(0.456653\pi\)
\(740\) 5.77580 1.98346i 0.212323 0.0729134i
\(741\) 5.89563 21.3334i 0.216582 0.783701i
\(742\) −0.00740750 + 0.0103759i −0.000271938 + 0.000380911i
\(743\) 24.5336 14.1645i 0.900049 0.519643i 0.0228329 0.999739i \(-0.492731\pi\)
0.877216 + 0.480096i \(0.159398\pi\)
\(744\) −8.51618 36.9440i −0.312218 1.35443i
\(745\) 23.0683 + 13.3185i 0.845159 + 0.487953i
\(746\) 10.8836 4.95453i 0.398476 0.181398i
\(747\) 9.46202 + 37.6617i 0.346197 + 1.37797i
\(748\) −1.44717 20.9428i −0.0529136 0.765744i
\(749\) −0.00601707 0.0224560i −0.000219859 0.000820525i
\(750\) −11.3758 + 9.22115i −0.415387 + 0.336709i
\(751\) −22.5527 + 13.0208i −0.822960 + 0.475136i −0.851436 0.524458i \(-0.824268\pi\)
0.0284763 + 0.999594i \(0.490934\pi\)
\(752\) 0.602992 0.469515i 0.0219889 0.0171214i
\(753\) −45.0891 0.352986i −1.64314 0.0128635i
\(754\) 24.6256 20.2828i 0.896812 0.738656i
\(755\) −8.99509 8.99509i −0.327365 0.327365i
\(756\) 0.0881689 0.00401497i 0.00320667 0.000146023i
\(757\) 4.87465 4.87465i 0.177172 0.177172i −0.612950 0.790122i \(-0.710017\pi\)
0.790122 + 0.612950i \(0.210017\pi\)
\(758\) −40.7739 3.94299i −1.48097 0.143216i
\(759\) −0.262077 + 33.4767i −0.00951279 + 1.21513i
\(760\) −7.98237 + 12.9901i −0.289551 + 0.471199i
\(761\) 3.18964 + 5.52462i 0.115624 + 0.200267i 0.918029 0.396513i \(-0.129780\pi\)
−0.802405 + 0.596780i \(0.796446\pi\)
\(762\) −1.78700 + 17.0822i −0.0647362 + 0.618824i
\(763\) −0.0694221 + 0.0186016i −0.00251325 + 0.000673423i
\(764\) 19.0999 + 16.6309i 0.691012 + 0.601685i
\(765\) −7.78679 + 27.3410i −0.281532 + 0.988518i
\(766\) 5.67996 + 2.12631i 0.205225 + 0.0768267i
\(767\) 31.2827 54.1832i 1.12955 1.95644i
\(768\) −0.175615 27.7123i −0.00633695 0.999980i
\(769\) −9.57641 16.5868i −0.345334 0.598136i 0.640080 0.768308i \(-0.278901\pi\)
−0.985414 + 0.170172i \(0.945568\pi\)
\(770\) 0.0172357 + 0.103257i 0.000621131 + 0.00372113i
\(771\) 13.4298 + 3.71141i 0.483661 + 0.133663i
\(772\) 18.8967 6.48930i 0.680109 0.233555i