Properties

Label 144.2.u.a.11.14
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 11.14
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.232839 - 1.39491i) q^{2} +(1.23430 - 1.21512i) q^{3} +(-1.89157 - 0.649582i) q^{4} +(-2.70956 - 0.726024i) q^{5} +(-1.40760 - 2.00466i) q^{6} +(-0.00424642 + 0.00735502i) q^{7} +(-1.34654 + 2.48733i) q^{8} +(0.0469689 - 2.99963i) q^{9} +O(q^{10})\) \(q+(0.232839 - 1.39491i) q^{2} +(1.23430 - 1.21512i) q^{3} +(-1.89157 - 0.649582i) q^{4} +(-2.70956 - 0.726024i) q^{5} +(-1.40760 - 2.00466i) 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} +(3.00129 - 0.804193i) q^{11} +(-3.12408 + 1.49671i) q^{12} +(6.42317 + 1.72108i) q^{13} +(0.00927089 + 0.00763594i) q^{14} +(-4.22660 + 2.39631i) q^{15} +(3.15609 + 2.45746i) q^{16} -3.37812i q^{17} +(-4.17329 - 0.763950i) q^{18} +(1.35881 + 1.35881i) q^{19} +(4.65371 + 3.13340i) q^{20} +(0.00369589 + 0.0142382i) q^{21} +(-0.422962 - 4.37379i) q^{22} +(-5.38718 + 3.11029i) q^{23} +(1.36037 + 4.70631i) q^{24} +(2.48446 + 1.43441i) q^{25} +(3.89633 - 8.55903i) q^{26} +(-3.58694 - 3.75950i) q^{27} +(0.0128101 - 0.0111542i) q^{28} +(3.27685 - 0.878030i) q^{29} +(2.35853 + 6.45370i) q^{30} +(-6.70211 + 3.86947i) q^{31} +(4.16281 - 3.83028i) q^{32} +(2.72729 - 4.63954i) q^{33} +(-4.71218 - 0.786559i) q^{34} +(0.0168459 - 0.0168459i) q^{35} +(-2.03735 + 5.64351i) q^{36} +(0.769697 + 0.769697i) q^{37} +(2.21181 - 1.57904i) q^{38} +(10.0194 - 5.68059i) q^{39} +(5.45440 - 5.76195i) q^{40} +(2.64756 + 4.58570i) q^{41} +(0.0207216 - 0.00184024i) q^{42} +(1.60713 + 5.99790i) q^{43} +(-6.19954 - 0.428394i) q^{44} +(-2.30507 + 8.09358i) q^{45} +(3.08424 + 8.23886i) q^{46} +(0.0955284 - 0.165460i) q^{47} +(6.88165 - 0.801791i) q^{48} +(3.49996 + 6.06212i) q^{49} +(2.57935 - 3.13163i) q^{50} +(-4.10482 - 4.16959i) q^{51} +(-11.0319 - 7.42792i) q^{52} +(0.750557 - 0.750557i) q^{53} +(-6.07937 + 4.12811i) q^{54} -8.71603 q^{55} +(-0.0125764 - 0.0204661i) q^{56} +(3.32830 + 0.0260560i) q^{57} +(-0.461797 - 4.77537i) q^{58} +(-2.43515 + 9.08809i) q^{59} +(9.55151 - 1.78727i) q^{60} +(-2.64143 - 9.85796i) 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} +(-5.83674 - 4.88460i) q^{66} +(2.08238 - 7.77154i) q^{67} +(-2.19436 + 6.38995i) q^{68} +(-2.87000 + 10.3851i) q^{69} +(-0.0195761 - 0.0274209i) q^{70} -1.02260i q^{71} +(7.39784 + 4.15596i) q^{72} -7.30911i q^{73} +(1.25288 - 0.894445i) q^{74} +(4.80954 - 1.24844i) q^{75} +(-1.68763 - 3.45295i) q^{76} +(-0.00682989 + 0.0254895i) q^{77} +(-5.59103 - 15.2989i) 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} +(3.35017 + 12.5030i) q^{83} +(0.00225782 - 0.0293333i) q^{84} +(-2.45259 + 9.15320i) q^{85} +(8.74076 - 0.845266i) q^{86} +(2.97769 - 5.06552i) q^{87} +(-2.04107 + 8.54809i) q^{88} -18.1774 q^{89} +(10.7531 + 5.09988i) q^{90} +(-0.0399341 + 0.0399341i) q^{91} +(12.2106 - 2.38392i) q^{92} +(-3.57052 + 12.9199i) q^{93} +(-0.208560 - 0.171780i) q^{94} +(-2.69525 - 4.66831i) q^{95} +(0.483889 - 9.78600i) q^{96} +(1.64497 - 2.84917i) q^{97} +(9.27106 - 3.47065i) q^{98} +(-2.27132 - 9.04054i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} + O(q^{10}) \) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27} + 8 q^{28} - 6 q^{29} - 34 q^{30} - 6 q^{32} - 8 q^{33} + 2 q^{34} - 26 q^{36} - 8 q^{37} - 6 q^{38} - 32 q^{39} - 2 q^{40} + 48 q^{42} - 2 q^{43} + 6 q^{45} - 40 q^{46} + 42 q^{48} - 24 q^{49} + 72 q^{50} - 12 q^{51} - 2 q^{52} - 38 q^{54} - 16 q^{55} + 36 q^{56} + 16 q^{58} - 42 q^{59} + 70 q^{60} - 2 q^{61} - 44 q^{64} - 12 q^{65} + 104 q^{66} - 2 q^{67} + 96 q^{68} - 10 q^{69} - 16 q^{70} - 10 q^{72} + 78 q^{74} - 56 q^{75} - 14 q^{76} - 6 q^{77} + 12 q^{78} - 8 q^{81} - 36 q^{82} + 54 q^{83} + 158 q^{84} + 8 q^{85} + 54 q^{86} + 48 q^{87} + 22 q^{88} + 64 q^{90} + 20 q^{91} + 108 q^{92} - 34 q^{93} + 6 q^{94} - 58 q^{96} - 4 q^{97} + 46 q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.232839 1.39491i 0.164642 0.986353i
\(3\) 1.23430 1.21512i 0.712621 0.701550i
\(4\) −1.89157 0.649582i −0.945786 0.324791i
\(5\) −2.70956 0.726024i −1.21175 0.324688i −0.404302 0.914625i \(-0.632486\pi\)
−0.807449 + 0.589938i \(0.799152\pi\)
\(6\) −1.40760 2.00466i −0.574648 0.818400i
\(7\) −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
\(11\) 3.00129 0.804193i 0.904923 0.242473i 0.223794 0.974637i \(-0.428156\pi\)
0.681129 + 0.732163i \(0.261489\pi\)
\(12\) −3.12408 + 1.49671i −0.901843 + 0.432063i
\(13\) 6.42317 + 1.72108i 1.78147 + 0.477342i 0.990850 0.134969i \(-0.0430936\pi\)
0.790616 + 0.612312i \(0.209760\pi\)
\(14\) 0.00927089 + 0.00763594i 0.00247775 + 0.00204079i
\(15\) −4.22660 + 2.39631i −1.09130 + 0.618724i
\(16\) 3.15609 + 2.45746i 0.789022 + 0.614365i
\(17\) 3.37812i 0.819314i −0.912240 0.409657i \(-0.865648\pi\)
0.912240 0.409657i \(-0.134352\pi\)
\(18\) −4.17329 0.763950i −0.983655 0.180065i
\(19\) 1.35881 + 1.35881i 0.311733 + 0.311733i 0.845581 0.533848i \(-0.179254\pi\)
−0.533848 + 0.845581i \(0.679254\pi\)
\(20\) 4.65371 + 3.13340i 1.04060 + 0.700651i
\(21\) 0.00369589 + 0.0142382i 0.000806510 + 0.00310703i
\(22\) −0.422962 4.37379i −0.0901759 0.932495i
\(23\) −5.38718 + 3.11029i −1.12331 + 0.648541i −0.942243 0.334931i \(-0.891287\pi\)
−0.181062 + 0.983472i \(0.557954\pi\)
\(24\) 1.36037 + 4.70631i 0.277685 + 0.960672i
\(25\) 2.48446 + 1.43441i 0.496893 + 0.286881i
\(26\) 3.89633 8.55903i 0.764133 1.67856i
\(27\) −3.58694 3.75950i −0.690307 0.723517i
\(28\) 0.0128101 0.0111542i 0.00242088 0.00210794i
\(29\) 3.27685 0.878030i 0.608496 0.163046i 0.0586036 0.998281i \(-0.481335\pi\)
0.549893 + 0.835235i \(0.314669\pi\)
\(30\) 2.35853 + 6.45370i 0.430606 + 1.17828i
\(31\) −6.70211 + 3.86947i −1.20374 + 0.694977i −0.961384 0.275212i \(-0.911252\pi\)
−0.242352 + 0.970188i \(0.577919\pi\)
\(32\) 4.16281 3.83028i 0.735888 0.677104i
\(33\) 2.72729 4.63954i 0.474760 0.807640i
\(34\) −4.71218 0.786559i −0.808133 0.134894i
\(35\) 0.0168459 0.0168459i 0.00284747 0.00284747i
\(36\) −2.03735 + 5.64351i −0.339559 + 0.940585i
\(37\) 0.769697 + 0.769697i 0.126537 + 0.126537i 0.767539 0.641002i \(-0.221481\pi\)
−0.641002 + 0.767539i \(0.721481\pi\)
\(38\) 2.21181 1.57904i 0.358803 0.256155i
\(39\) 10.0194 5.68059i 1.60439 0.909623i
\(40\) 5.45440 5.76195i 0.862416 0.911044i
\(41\) 2.64756 + 4.58570i 0.413479 + 0.716166i 0.995267 0.0971739i \(-0.0309803\pi\)
−0.581789 + 0.813340i \(0.697647\pi\)
\(42\) 0.0207216 0.00184024i 0.00319741 0.000283956i
\(43\) 1.60713 + 5.99790i 0.245086 + 0.914672i 0.973340 + 0.229365i \(0.0736650\pi\)
−0.728255 + 0.685306i \(0.759668\pi\)
\(44\) −6.19954 0.428394i −0.934617 0.0645828i
\(45\) −2.30507 + 8.09358i −0.343619 + 1.20652i
\(46\) 3.08424 + 8.23886i 0.454747 + 1.21475i
\(47\) 0.0955284 0.165460i 0.0139343 0.0241348i −0.858974 0.512019i \(-0.828898\pi\)
0.872908 + 0.487884i \(0.162231\pi\)
\(48\) 6.88165 0.801791i 0.993281 0.115729i
\(49\) 3.49996 + 6.06212i 0.499995 + 0.866016i
\(50\) 2.57935 3.13163i 0.364776 0.442879i
\(51\) −4.10482 4.16959i −0.574789 0.583860i
\(52\) −11.0319 7.42792i −1.52985 1.03007i
\(53\) 0.750557 0.750557i 0.103097 0.103097i −0.653677 0.756774i \(-0.726774\pi\)
0.756774 + 0.653677i \(0.226774\pi\)
\(54\) −6.07937 + 4.12811i −0.827297 + 0.561765i
\(55\) −8.71603 −1.17527
\(56\) −0.0125764 0.0204661i −0.00168059 0.00273490i
\(57\) 3.32830 + 0.0260560i 0.440844 + 0.00345120i
\(58\) −0.461797 4.77537i −0.0606369 0.627037i
\(59\) −2.43515 + 9.08809i −0.317029 + 1.18317i 0.605057 + 0.796182i \(0.293150\pi\)
−0.922086 + 0.386986i \(0.873516\pi\)
\(60\) 9.55151 1.78727i 1.23310 0.230735i
\(61\) −2.64143 9.85796i −0.338201 1.26218i −0.900357 0.435152i \(-0.856695\pi\)
0.562156 0.827031i \(-0.309972\pi\)
\(62\) 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
\(66\) −5.83674 4.88460i −0.718453 0.601252i
\(67\) 2.08238 7.77154i 0.254403 0.949445i −0.714019 0.700127i \(-0.753127\pi\)
0.968422 0.249318i \(-0.0802065\pi\)
\(68\) −2.19436 + 6.38995i −0.266106 + 0.774895i
\(69\) −2.87000 + 10.3851i −0.345507 + 1.25022i
\(70\) −0.0195761 0.0274209i −0.00233980 0.00327742i
\(71\) 1.02260i 0.121360i −0.998157 0.0606801i \(-0.980673\pi\)
0.998157 0.0606801i \(-0.0193269\pi\)
\(72\) 7.39784 + 4.15596i 0.871843 + 0.489785i
\(73\) 7.30911i 0.855467i −0.903905 0.427734i \(-0.859312\pi\)
0.903905 0.427734i \(-0.140688\pi\)
\(74\) 1.25288 0.894445i 0.145644 0.103977i
\(75\) 4.80954 1.24844i 0.555357 0.144157i
\(76\) −1.68763 3.45295i −0.193585 0.396081i
\(77\) −0.00682989 + 0.0254895i −0.000778338 + 0.00290480i
\(78\) −5.59103 15.2989i −0.633059 1.73226i
\(79\) −4.36074 2.51768i −0.490622 0.283261i 0.234211 0.972186i \(-0.424749\pi\)
−0.724832 + 0.688925i \(0.758083\pi\)
\(80\) −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
\(83\) 3.35017 + 12.5030i 0.367729 + 1.37238i 0.863684 + 0.504034i \(0.168151\pi\)
−0.495955 + 0.868348i \(0.665182\pi\)
\(84\) 0.00225782 0.0293333i 0.000246348 0.00320053i
\(85\) −2.45259 + 9.15320i −0.266021 + 0.992804i
\(86\) 8.74076 0.845266i 0.942541 0.0911473i
\(87\) 2.97769 5.06552i 0.319242 0.543080i
\(88\) −2.04107 + 8.54809i −0.217579 + 0.911229i
\(89\) −18.1774 −1.92680 −0.963399 0.268070i \(-0.913614\pi\)
−0.963399 + 0.268070i \(0.913614\pi\)
\(90\) 10.7531 + 5.09988i 1.13348 + 0.537574i
\(91\) −0.0399341 + 0.0399341i −0.00418623 + 0.00418623i
\(92\) 12.2106 2.38392i 1.27305 0.248541i
\(93\) −3.57052 + 12.9199i −0.370246 + 1.33973i
\(94\) −0.208560 0.171780i −0.0215113 0.0177177i
\(95\) −2.69525 4.66831i −0.276527 0.478959i
\(96\) 0.483889 9.78600i 0.0493867 0.998780i
\(97\) 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
\(99\) −2.27132 9.04054i −0.228276 0.908608i
\(100\) −3.76778 4.32714i −0.376778 0.432714i
\(101\) 0.714822 + 2.66775i 0.0711275 + 0.265451i 0.992327 0.123638i \(-0.0394563\pi\)
−0.921200 + 0.389090i \(0.872790\pi\)
\(102\) −6.77199 + 4.75502i −0.670527 + 0.470817i
\(103\) 5.52502 + 9.56961i 0.544396 + 0.942922i 0.998645 + 0.0520466i \(0.0165744\pi\)
−0.454249 + 0.890875i \(0.650092\pi\)
\(104\) −12.9300 + 13.6590i −1.26789 + 1.33938i
\(105\) 0.000323029 0.0412625i 3.15244e−5 0.00402681i
\(106\) −0.872204 1.22172i −0.0847159 0.118664i
\(107\) 1.93562 + 1.93562i 0.187124 + 0.187124i 0.794451 0.607328i \(-0.207759\pi\)
−0.607328 + 0.794451i \(0.707759\pi\)
\(108\) 4.34285 + 9.44138i 0.417891 + 0.908497i
\(109\) 5.98392 5.98392i 0.573155 0.573155i −0.359853 0.933009i \(-0.617173\pi\)
0.933009 + 0.359853i \(0.117173\pi\)
\(110\) −2.02943 + 12.1581i −0.193499 + 1.15923i
\(111\) 1.88531 + 0.0147594i 0.178945 + 0.00140090i
\(112\) −0.0314768 + 0.0127777i −0.00297428 + 0.00120738i
\(113\) 11.7864 6.80488i 1.10877 0.640149i 0.170260 0.985399i \(-0.445539\pi\)
0.938511 + 0.345250i \(0.112206\pi\)
\(114\) 0.811304 4.63662i 0.0759856 0.434259i
\(115\) 16.8550 4.51629i 1.57174 0.421146i
\(116\) −6.76876 0.467727i −0.628463 0.0434274i
\(117\) 5.46430 19.1863i 0.505175 1.77377i
\(118\) 12.1101 + 5.51288i 1.11483 + 0.507502i
\(119\) 0.0248461 + 0.0143449i 0.00227764 + 0.00131500i
\(120\) −0.269118 13.7397i −0.0245670 1.25426i
\(121\) −1.16526 + 0.672766i −0.105933 + 0.0611605i
\(122\) −14.3660 + 1.38925i −1.30064 + 0.125777i
\(123\) 8.84004 + 2.44301i 0.797079 + 0.220279i
\(124\) 15.1911 2.96580i 1.36420 0.266337i
\(125\) 4.22728 + 4.22728i 0.378100 + 0.378100i
\(126\) 0.0233404 0.0274506i 0.00207933 0.00244550i
\(127\) 7.01184i 0.622200i −0.950377 0.311100i \(-0.899303\pi\)
0.950377 0.311100i \(-0.100697\pi\)
\(128\) −10.3623 + 4.54116i −0.915909 + 0.401386i
\(129\) 9.27185 + 5.45032i 0.816340 + 0.479874i
\(130\) −16.7714 + 20.3624i −1.47095 + 1.78590i
\(131\) −8.04427 2.15546i −0.702831 0.188323i −0.110333 0.993895i \(-0.535192\pi\)
−0.592498 + 0.805572i \(0.701858\pi\)
\(132\) −8.17262 + 7.00442i −0.711335 + 0.609657i
\(133\) −0.0157642 + 0.00422400i −0.00136693 + 0.000366268i
\(134\) −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 −0.958472 0.285185i \(-0.907945\pi\)
0.726214 + 0.687469i \(0.241278\pi\)
\(138\) 13.8181 + 6.42146i 1.17627 + 0.546631i
\(139\) −13.5977 3.64349i −1.15334 0.309037i −0.369038 0.929414i \(-0.620313\pi\)
−0.784303 + 0.620378i \(0.786979\pi\)
\(140\) −0.0428079 + 0.0209224i −0.00361793 + 0.00176826i
\(141\) −0.0831435 0.320305i −0.00700195 0.0269746i
\(142\) −1.42644 0.238101i −0.119704 0.0199810i
\(143\) 20.6619 1.72783
\(144\) 7.51972 9.35168i 0.626643 0.779306i
\(145\) −9.51629 −0.790285
\(146\) −10.1956 1.70185i −0.843793 0.140846i
\(147\) 11.6862 + 3.22956i 0.963860 + 0.266370i
\(148\) −0.955956 1.95592i −0.0785791 0.160775i
\(149\) 9.17223 + 2.45769i 0.751419 + 0.201342i 0.614147 0.789191i \(-0.289500\pi\)
0.137271 + 0.990533i \(0.456167\pi\)
\(150\) −0.621618 6.99958i −0.0507549 0.571513i
\(151\) −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
\(155\) 20.9691 5.61865i 1.68428 0.451301i
\(156\) −22.6424 + 4.23683i −1.81285 + 0.339218i
\(157\) −19.1085 5.12011i −1.52502 0.408629i −0.603632 0.797263i \(-0.706280\pi\)
−0.921392 + 0.388634i \(0.872947\pi\)
\(158\) −4.52729 + 5.49665i −0.360172 + 0.437290i
\(159\) 0.0143924 1.83843i 0.00114139 0.145797i
\(160\) −14.0602 + 7.35606i −1.11156 + 0.581548i
\(161\) 0.0528305i 0.00416362i
\(162\) −2.48758 + 12.4825i −0.195443 + 0.980715i
\(163\) −6.31776 6.31776i −0.494845 0.494845i 0.414984 0.909829i \(-0.363787\pi\)
−0.909829 + 0.414984i \(0.863787\pi\)
\(164\) −2.02925 10.3940i −0.158458 0.811634i
\(165\) −10.7582 + 10.5910i −0.837521 + 0.824510i
\(166\) 18.2207 1.76201i 1.41420 0.136758i
\(167\) 10.2973 5.94513i 0.796827 0.460048i −0.0455334 0.998963i \(-0.514499\pi\)
0.842360 + 0.538915i \(0.181165\pi\)
\(168\) −0.0403918 0.00997942i −0.00311629 0.000769929i
\(169\) 27.0366 + 15.6096i 2.07974 + 1.20074i
\(170\) 12.1969 + 5.55238i 0.935457 + 0.425848i
\(171\) 4.13976 4.01212i 0.316575 0.306814i
\(172\) 0.856120 12.3894i 0.0652786 0.944685i
\(173\) −0.468462 + 0.125524i −0.0356165 + 0.00954341i −0.276583 0.960990i \(-0.589202\pi\)
0.240967 + 0.970533i \(0.422536\pi\)
\(174\) −6.37264 5.33308i −0.483108 0.404300i
\(175\) −0.0211002 + 0.0121822i −0.00159502 + 0.000920887i
\(176\) 11.4486 + 4.83745i 0.862971 + 0.364636i
\(177\) 8.03743 + 14.1764i 0.604130 + 1.06556i
\(178\) −4.23241 + 25.3559i −0.317232 + 1.90050i
\(179\) −6.91661 + 6.91661i −0.516971 + 0.516971i −0.916654 0.399682i \(-0.869120\pi\)
0.399682 + 0.916654i \(0.369120\pi\)
\(180\) 9.61764 13.8122i 0.716857 1.02950i
\(181\) −2.19753 2.19753i −0.163341 0.163341i 0.620704 0.784045i \(-0.286847\pi\)
−0.784045 + 0.620704i \(0.786847\pi\)
\(182\) 0.0464064 + 0.0650029i 0.00343987 + 0.00481833i
\(183\) −15.2389 8.95798i −1.12649 0.662193i
\(184\) −0.482254 17.5879i −0.0355523 1.29659i
\(185\) −1.52672 2.64436i −0.112247 0.194417i
\(186\) 17.1908 + 7.98884i 1.26049 + 0.585770i
\(187\) −2.71666 10.1387i −0.198662 0.741416i
\(188\) −0.288179 + 0.250926i −0.0210176 + 0.0183007i
\(189\) 0.0428829 0.0104176i 0.00311927 0.000757766i
\(190\) −7.13946 + 2.67268i −0.517951 + 0.193896i
\(191\) 6.33144 10.9664i 0.458127 0.793499i −0.540735 0.841193i \(-0.681854\pi\)
0.998862 + 0.0476936i \(0.0151871\pi\)
\(192\) −13.5380 2.95355i −0.977019 0.213154i
\(193\) 4.99499 + 8.65157i 0.359547 + 0.622754i 0.987885 0.155187i \(-0.0495979\pi\)
−0.628338 + 0.777940i \(0.716265\pi\)
\(194\) −3.59133 2.95799i −0.257843 0.212371i
\(195\) −31.2724 + 8.11757i −2.23946 + 0.581311i
\(196\) −2.68259 13.7404i −0.191614 0.981460i
\(197\) −0.273888 + 0.273888i −0.0195137 + 0.0195137i −0.716796 0.697283i \(-0.754392\pi\)
0.697283 + 0.716796i \(0.254392\pi\)
\(198\) −13.1396 + 1.06330i −0.933793 + 0.0755654i
\(199\) −18.0544 −1.27984 −0.639920 0.768441i \(-0.721033\pi\)
−0.639920 + 0.768441i \(0.721033\pi\)
\(200\) −6.91328 + 4.24820i −0.488843 + 0.300393i
\(201\) −6.87308 12.1227i −0.484790 0.855070i
\(202\) 3.88773 0.375958i 0.273539 0.0264523i
\(203\) −0.00745698 + 0.0278298i −0.000523377 + 0.00195327i
\(204\) 5.05606 + 10.5535i 0.353995 + 0.738893i
\(205\) −3.84438 14.3474i −0.268503 1.00207i
\(206\) 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
\(210\) −0.0574824 0.0100581i −0.00396666 0.000694077i
\(211\) 0.625467 2.33428i 0.0430589 0.160698i −0.941049 0.338271i \(-0.890158\pi\)
0.984108 + 0.177573i \(0.0568246\pi\)
\(212\) −1.90728 + 0.932185i −0.130993 + 0.0640227i
\(213\) −1.24258 1.26219i −0.0851402 0.0864838i
\(214\) 3.15072 2.24934i 0.215378 0.153762i
\(215\) 17.4185i 1.18793i
\(216\) 14.1811 3.85957i 0.964902 0.262611i
\(217\) 0.0657256i 0.00446175i
\(218\) −6.95376 9.74034i −0.470968 0.659699i
\(219\) −8.88145 9.02160i −0.600153 0.609623i
\(220\) 16.4870 + 5.66177i 1.11155 + 0.381717i
\(221\) 5.81402 21.6982i 0.391093 1.45958i
\(222\) 0.459562 2.62640i 0.0308438 0.176273i
\(223\) −0.0284597 0.0164312i −0.00190581 0.00110032i 0.499047 0.866575i \(-0.333684\pi\)
−0.500953 + 0.865475i \(0.667017\pi\)
\(224\) 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
\(227\) 4.79797 + 17.9063i 0.318453 + 1.18848i 0.920732 + 0.390196i \(0.127593\pi\)
−0.602279 + 0.798285i \(0.705741\pi\)
\(228\) −6.27879 2.21129i −0.415823 0.146446i
\(229\) 7.06225 26.3567i 0.466687 1.74170i −0.184549 0.982823i \(-0.559082\pi\)
0.651236 0.758875i \(-0.274251\pi\)
\(230\) −2.37533 24.5629i −0.156624 1.61963i
\(231\) 0.0225427 + 0.0397607i 0.00148320 + 0.00261606i
\(232\) −2.22847 + 9.33293i −0.146306 + 0.612737i
\(233\) 7.42838 0.486649 0.243325 0.969945i \(-0.421762\pi\)
0.243325 + 0.969945i \(0.421762\pi\)
\(234\) −25.4909 12.0896i −1.66640 0.790319i
\(235\) −0.378968 + 0.378968i −0.0247211 + 0.0247211i
\(236\) 10.5097 15.6089i 0.684124 1.01606i
\(237\) −8.44172 + 2.19127i −0.548349 + 0.142338i
\(238\) 0.0257951 0.0313182i 0.00167205 0.00203006i
\(239\) −2.67225 4.62848i −0.172854 0.299391i 0.766563 0.642169i \(-0.221965\pi\)
−0.939416 + 0.342778i \(0.888632\pi\)
\(240\) −19.2283 2.82374i −1.24118 0.182272i
\(241\) −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
\(243\) −11.4456 + 10.5829i −0.734236 + 0.678894i
\(244\) −1.40709 + 20.3629i −0.0900799 + 1.30360i
\(245\) −5.08211 18.9667i −0.324684 1.21174i
\(246\) 5.46610 11.7623i 0.348506 0.749935i
\(247\) 6.38925 + 11.0665i 0.406538 + 0.704145i
\(248\) −0.599966 21.8808i −0.0380979 1.38943i
\(249\) 19.3277 + 11.3615i 1.22484 + 0.720008i
\(250\) 6.88098 4.91242i 0.435191 0.310689i
\(251\) −18.4081 18.4081i −1.16191 1.16191i −0.984057 0.177854i \(-0.943085\pi\)
−0.177854 0.984057i \(-0.556915\pi\)
\(252\) −0.0328567 0.0389495i −0.00206978 0.00245359i
\(253\) −13.6672 + 13.6672i −0.859251 + 0.859251i
\(254\) −9.78092 1.63263i −0.613710 0.102440i
\(255\) 8.09501 + 14.2779i 0.506929 + 0.894120i
\(256\) 3.92177 + 15.5119i 0.245111 + 0.969495i
\(257\) −6.96658 + 4.02216i −0.434563 + 0.250895i −0.701289 0.712877i \(-0.747392\pi\)
0.266726 + 0.963773i \(0.414058\pi\)
\(258\) 9.76158 11.6644i 0.607730 0.726193i
\(259\) −0.00892960 + 0.00239268i −0.000554858 + 0.000148674i
\(260\) 24.4987 + 28.1358i 1.51935 + 1.74491i
\(261\) −2.47986 9.87060i −0.153499 0.610975i
\(262\) −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 \(0.708209\pi\)
\(264\) 7.86766 + 13.0310i 0.484221 + 0.802003i
\(265\) −2.57860 + 1.48876i −0.158402 + 0.0914535i
\(266\) 0.00222160 + 0.0229732i 0.000136215 + 0.00140858i
\(267\) −22.4363 + 22.0877i −1.37308 + 1.35174i
\(268\) −8.98722 + 13.3478i −0.548982 + 0.815344i
\(269\) 13.7834 + 13.7834i 0.840386 + 0.840386i 0.988909 0.148523i \(-0.0474518\pi\)
−0.148523 + 0.988909i \(0.547452\pi\)
\(270\) 19.4695 6.77159i 1.18488 0.412106i
\(271\) 14.3202i 0.869889i 0.900457 + 0.434945i \(0.143232\pi\)
−0.900457 + 0.434945i \(0.856768\pi\)
\(272\) 8.30159 10.6616i 0.503358 0.646456i
\(273\) −0.000765759 0.0978152i −4.63459e−5 0.00592004i
\(274\) 5.93513 + 4.88845i 0.358555 + 0.295322i
\(275\) 8.61014 + 2.30708i 0.519211 + 0.139122i
\(276\) 12.1748 17.7798i 0.732835 1.07022i
\(277\) −6.39501 + 1.71354i −0.384239 + 0.102956i −0.445767 0.895149i \(-0.647069\pi\)
0.0615286 + 0.998105i \(0.480402\pi\)
\(278\) −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 −0.915684 0.401899i \(-0.868350\pi\)
0.805897 + 0.592056i \(0.201684\pi\)
\(282\) −0.466157 + 0.0413985i −0.0277593 + 0.00246524i
\(283\) 4.19445 + 1.12390i 0.249334 + 0.0668089i 0.381321 0.924442i \(-0.375469\pi\)
−0.131987 + 0.991251i \(0.542136\pi\)
\(284\) −0.664262 + 1.93432i −0.0394167 + 0.114781i
\(285\) −8.99929 2.48702i −0.533072 0.147318i
\(286\) 4.81090 28.8215i 0.284474 1.70425i
\(287\) −0.0449706 −0.00265453
\(288\) −11.2939 12.6668i −0.665500 0.746398i
\(289\) 5.58832 0.328725
\(290\) −2.21577 + 13.2744i −0.130114 + 0.779500i
\(291\) −1.43170 5.51555i −0.0839280 0.323327i
\(292\) −4.74787 + 13.8257i −0.277848 + 0.809089i
\(293\) 14.6770 + 3.93269i 0.857439 + 0.229750i 0.660649 0.750695i \(-0.270281\pi\)
0.196791 + 0.980446i \(0.436948\pi\)
\(294\) 7.22597 15.5493i 0.421427 0.906851i
\(295\) 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
\(299\) −39.9558 + 10.7061i −2.31071 + 0.619152i
\(300\) −9.90855 0.762672i −0.572070 0.0440329i
\(301\) −0.0509393 0.0136491i −0.00293609 0.000786723i
\(302\) 4.95033 + 4.07732i 0.284860 + 0.234624i
\(303\) 4.12394 + 2.42420i 0.236914 + 0.139267i
\(304\) 0.949302 + 7.62776i 0.0544462 + 0.437482i
\(305\) 28.6285i 1.63926i
\(306\) −2.58071 + 14.0979i −0.147530 + 0.805922i
\(307\) 23.4294 + 23.4294i 1.33718 + 1.33718i 0.898776 + 0.438408i \(0.144457\pi\)
0.438408 + 0.898776i \(0.355543\pi\)
\(308\) 0.0294767 0.0437787i 0.00167959 0.00249452i
\(309\) 18.4477 + 5.09817i 1.04945 + 0.290025i
\(310\) −2.95511 30.5583i −0.167839 1.73560i
\(311\) −25.9086 + 14.9583i −1.46914 + 0.848210i −0.999401 0.0345940i \(-0.988986\pi\)
−0.469741 + 0.882804i \(0.655653\pi\)
\(312\) 0.637960 + 32.5708i 0.0361174 + 1.84396i
\(313\) −13.0513 7.53519i −0.737705 0.425914i 0.0835293 0.996505i \(-0.473381\pi\)
−0.821234 + 0.570591i \(0.806714\pi\)
\(314\) −11.5913 + 25.4626i −0.654136 + 1.43694i
\(315\) −0.0497401 0.0513226i −0.00280254 0.00289170i
\(316\) 6.61322 + 7.59502i 0.372023 + 0.427253i
\(317\) 20.1652 5.40325i 1.13259 0.303477i 0.356623 0.934248i \(-0.383928\pi\)
0.775969 + 0.630772i \(0.217261\pi\)
\(318\) −2.56110 0.448134i −0.143619 0.0251301i
\(319\) 9.12868 5.27045i 0.511108 0.295088i
\(320\) 6.98730 + 21.3256i 0.390602 + 1.19214i
\(321\) 4.74114 + 0.0371167i 0.264625 + 0.00207165i
\(322\) −0.0736940 0.0123010i −0.00410680 0.000685508i
\(323\) 4.59023 4.59023i 0.255407 0.255407i
\(324\) 16.8328 + 6.37637i 0.935153 + 0.354243i
\(325\) 13.4894 + 13.4894i 0.748257 + 0.748257i
\(326\) −10.2838 + 7.34171i −0.569565 + 0.406620i
\(327\) 0.114745 14.6571i 0.00634542 0.810539i
\(328\) −14.9712 + 0.410507i −0.826647 + 0.0226664i
\(329\) 0.000811309 0.00140523i 4.47289e−5 7.74727e-5i
\(330\) 12.2686 + 17.4727i 0.675367 + 0.961841i
\(331\) 4.94242 + 18.4453i 0.271660 + 1.01385i 0.958047 + 0.286612i \(0.0925289\pi\)
−0.686387 + 0.727236i \(0.740804\pi\)
\(332\) 1.78463 25.8265i 0.0979446 1.41741i
\(333\) 2.34496 2.27266i 0.128503 0.124541i
\(334\) −5.89534 15.7481i −0.322579 0.861696i
\(335\) −11.2846 + 19.5456i −0.616546 + 1.06789i
\(336\) −0.0233252 + 0.0540195i −0.00127250 + 0.00294700i
\(337\) −9.91944 17.1810i −0.540346 0.935907i −0.998884 0.0472324i \(-0.984960\pi\)
0.458538 0.888675i \(-0.348373\pi\)
\(338\) 28.0692 34.0792i 1.52677 1.85367i
\(339\) 6.27915 22.7211i 0.341036 1.23404i
\(340\) 10.5850 15.7208i 0.574053 0.852579i
\(341\) −17.0032 + 17.0032i −0.920774 + 0.920774i
\(342\) −4.63266 6.70879i −0.250506 0.362770i
\(343\) −0.118899 −0.00641996
\(344\) −17.0829 4.07896i −0.921046 0.219923i
\(345\) 15.3162 26.0553i 0.824599 1.40277i
\(346\) 0.0660189 + 0.682691i 0.00354920 + 0.0367017i
\(347\) 5.60618 20.9225i 0.300955 1.12318i −0.635416 0.772170i \(-0.719171\pi\)
0.936372 0.351011i \(-0.114162\pi\)
\(348\) −8.92299 + 7.64753i −0.478322 + 0.409951i
\(349\) −0.426410 1.59139i −0.0228252 0.0851849i 0.953574 0.301160i \(-0.0973737\pi\)
−0.976399 + 0.215975i \(0.930707\pi\)
\(350\) 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 \(0.705090\pi\)
\(354\) 21.6463 7.91070i 1.15049 0.420449i
\(355\) −0.742431 + 2.77079i −0.0394042 + 0.147058i
\(356\) 34.3838 + 11.8077i 1.82234 + 0.625807i
\(357\) 0.0480983 0.0124852i 0.00254563 0.000660784i
\(358\) 8.03762 + 11.2585i 0.424801 + 0.595032i
\(359\) 11.0661i 0.584046i −0.956411 0.292023i \(-0.905672\pi\)
0.956411 0.292023i \(-0.0943284\pi\)
\(360\) −17.0275 16.6318i −0.897430 0.876574i
\(361\) 15.3073i 0.805645i
\(362\) −3.57703 + 2.55369i −0.188005 + 0.134219i
\(363\) −0.620789 + 2.24633i −0.0325830 + 0.117902i
\(364\) 0.101479 0.0495978i 0.00531893 0.00259963i
\(365\) −5.30659 + 19.8045i −0.277760 + 1.03661i
\(366\) −16.0438 + 19.1712i −0.838624 + 1.00209i
\(367\) −4.77772 2.75842i −0.249395 0.143988i 0.370092 0.928995i \(-0.379326\pi\)
−0.619487 + 0.785007i \(0.712659\pi\)
\(368\) −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
\(371\) 0.00233318 + 0.00870755i 0.000121133 + 0.000452074i
\(372\) 15.1465 22.1196i 0.785307 1.14685i
\(373\) 2.18851 8.16763i 0.113317 0.422904i −0.885839 0.463993i \(-0.846416\pi\)
0.999155 + 0.0410893i \(0.0130828\pi\)
\(374\) −14.7752 + 1.42882i −0.764006 + 0.0738823i
\(375\) 10.3544 + 0.0810606i 0.534697 + 0.00418595i
\(376\) 0.282921 + 0.460410i 0.0145905 + 0.0237438i
\(377\) 22.5589 1.16184
\(378\) −0.00454678 0.0622436i −0.000233861 0.00320147i
\(379\) 20.4820 20.4820i 1.05209 1.05209i 0.0535254 0.998566i \(-0.482954\pi\)
0.998566 0.0535254i \(-0.0170458\pi\)
\(380\) 2.06581 + 10.5812i 0.105974 + 0.542806i
\(381\) −8.52023 8.65468i −0.436504 0.443393i
\(382\) −13.8230 11.3852i −0.707244 0.582519i
\(383\) 2.14427 + 3.71398i 0.109567 + 0.189776i 0.915595 0.402102i \(-0.131720\pi\)
−0.806028 + 0.591878i \(0.798387\pi\)
\(384\) −7.27212 + 18.1966i −0.371104 + 0.928591i
\(385\) 0.0370120 0.0641066i 0.00188630 0.00326718i
\(386\) 13.2312 4.95315i 0.673452 0.252109i
\(387\) 18.0670 4.53909i 0.918397 0.230735i
\(388\) −4.96234 + 4.32086i −0.251925 + 0.219359i
\(389\) −4.19823 15.6680i −0.212859 0.794400i −0.986909 0.161276i \(-0.948439\pi\)
0.774051 0.633124i \(-0.218228\pi\)
\(390\) 4.04187 + 45.5124i 0.204668 + 2.30461i
\(391\) 10.5069 + 18.1985i 0.531358 + 0.920339i
\(392\) −19.7913 + 0.542674i −0.999614 + 0.0274092i
\(393\) −12.5481 + 7.11428i −0.632970 + 0.358868i
\(394\) 0.318278 + 0.445822i 0.0160346 + 0.0224602i
\(395\) 9.98779 + 9.98779i 0.502540 + 0.502540i
\(396\) −1.57621 + 18.5762i −0.0792076 + 0.933491i
\(397\) −2.22738 + 2.22738i −0.111789 + 0.111789i −0.760789 0.649000i \(-0.775188\pi\)
0.649000 + 0.760789i \(0.275188\pi\)
\(398\) −4.20377 + 25.1843i −0.210716 + 1.26238i
\(399\) −0.0143250 + 0.0243691i −0.000717147 + 0.00121998i
\(400\) 4.31619 + 10.6326i 0.215809 + 0.531629i
\(401\) 7.43343 4.29169i 0.371208 0.214317i −0.302778 0.953061i \(-0.597914\pi\)
0.673986 + 0.738744i \(0.264581\pi\)
\(402\) −18.5105 + 6.76472i −0.923218 + 0.337393i
\(403\) −49.7085 + 13.3193i −2.47616 + 0.663484i
\(404\) 0.380786 5.51058i 0.0189448 0.274162i
\(405\) 24.1695 + 7.29451i 1.20099 + 0.362467i
\(406\) 0.0370839 + 0.0168817i 0.00184045 + 0.000837826i
\(407\) 2.92907 + 1.69110i 0.145189 + 0.0838246i
\(408\) 15.8985 4.59550i 0.787092 0.227511i
\(409\) −32.0886 + 18.5263i −1.58668 + 0.916068i −0.592828 + 0.805329i \(0.701988\pi\)
−0.993850 + 0.110739i \(0.964678\pi\)
\(410\) −20.9085 + 2.02193i −1.03260 + 0.0998562i
\(411\) 2.36607 + 9.11514i 0.116710 + 0.449617i
\(412\) −4.23472 21.6906i −0.208630 1.06862i
\(413\) −0.0565024 0.0565024i −0.00278030 0.00278030i
\(414\) 24.8584 8.86462i 1.22172 0.435672i
\(415\) 36.3099i 1.78238i
\(416\) 33.3306 17.4380i 1.63417 0.854967i
\(417\) −21.2108 + 12.0257i −1.03870 + 0.588900i
\(418\) 5.36844 6.51789i 0.262579 0.318800i
\(419\) −19.9702 5.35101i −0.975609 0.261414i −0.264415 0.964409i \(-0.585179\pi\)
−0.711195 + 0.702995i \(0.751845\pi\)
\(420\) −0.0274144 + 0.0778411i −0.00133769 + 0.00379826i
\(421\) −9.35966 + 2.50791i −0.456162 + 0.122228i −0.479581 0.877497i \(-0.659211\pi\)
0.0234192 + 0.999726i \(0.492545\pi\)
\(422\) −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
\(426\) −2.04997 + 1.43941i −0.0993212 + 0.0697394i
\(427\) 0.0837222 + 0.0224333i 0.00405160 + 0.00108562i
\(428\) −2.40402 4.91871i −0.116203 0.237755i
\(429\) 25.5028 25.1066i 1.23129 1.21216i
\(430\) −24.2973 4.05571i −1.17172 0.195584i
\(431\) −25.3669 −1.22188 −0.610941 0.791676i \(-0.709209\pi\)
−0.610941 + 0.791676i \(0.709209\pi\)
\(432\) −2.08185 20.6801i −0.100163 0.994971i
\(433\) −10.5243 −0.505764 −0.252882 0.967497i \(-0.581378\pi\)
−0.252882 + 0.967497i \(0.581378\pi\)
\(434\) −0.0916816 0.0153035i −0.00440086 0.000734592i
\(435\) −11.7459 + 11.5634i −0.563174 + 0.554424i
\(436\) −15.2061 + 7.43197i −0.728238 + 0.355927i
\(437\) −11.5465 3.09387i −0.552343 0.148000i
\(438\) −14.6523 + 10.2883i −0.700115 + 0.491593i
\(439\) 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
\(443\) −5.42439 + 1.45346i −0.257721 + 0.0690560i −0.385366 0.922764i \(-0.625925\pi\)
0.127645 + 0.991820i \(0.459258\pi\)
\(444\) −3.55661 1.25258i −0.168789 0.0594448i
\(445\) 49.2527 + 13.1972i 2.33480 + 0.625608i
\(446\) −0.0295467 + 0.0358731i −0.00139908 + 0.00169864i
\(447\) 14.3076 8.11184i 0.676728 0.383677i
\(448\) 0.0678407 0.00372315i 0.00320517 0.000175902i
\(449\) 3.76456i 0.177661i 0.996047 + 0.0888303i \(0.0283129\pi\)
−0.996047 + 0.0888303i \(0.971687\pi\)
\(450\) −9.27258 7.88420i −0.437114 0.371665i
\(451\) 11.6339 + 11.6339i 0.547818 + 0.547818i
\(452\) −26.7151 + 5.21569i −1.25657 + 0.245325i
\(453\) 1.97348 + 7.60269i 0.0927220 + 0.357206i
\(454\) 26.0949 2.52348i 1.22469 0.118433i
\(455\) 0.137197 0.0792106i 0.00643189 0.00371345i
\(456\) −4.54650 + 8.24349i −0.212910 + 0.386037i
\(457\) 18.4633 + 10.6598i 0.863675 + 0.498643i 0.865241 0.501356i \(-0.167165\pi\)
−0.00156649 + 0.999999i \(0.500499\pi\)
\(458\) −35.1209 15.9881i −1.64109 0.747075i
\(459\) −12.7000 + 12.1171i −0.592787 + 0.565578i
\(460\) −34.8162 2.40583i −1.62331 0.112172i
\(461\) −37.4962 + 10.0471i −1.74637 + 0.467938i −0.983845 0.179021i \(-0.942707\pi\)
−0.762525 + 0.646959i \(0.776040\pi\)
\(462\) 0.0607116 0.0221873i 0.00282456 0.00103225i
\(463\) 7.29597 4.21233i 0.339073 0.195764i −0.320789 0.947151i \(-0.603948\pi\)
0.659862 + 0.751387i \(0.270615\pi\)
\(464\) 12.4998 + 5.28160i 0.580287 + 0.245192i
\(465\) 19.0547 32.4150i 0.883641 1.50321i
\(466\) 1.72962 10.3620i 0.0801231 0.480008i
\(467\) 19.4539 19.4539i 0.900219 0.900219i −0.0952358 0.995455i \(-0.530361\pi\)
0.995455 + 0.0952358i \(0.0303605\pi\)
\(468\) −22.7992 + 32.7428i −1.05389 + 1.51353i
\(469\) 0.0483172 + 0.0483172i 0.00223108 + 0.00223108i
\(470\) 0.440389 + 0.616866i 0.0203136 + 0.0284539i
\(471\) −29.8071 + 16.8994i −1.37344 + 0.778683i
\(472\) −19.3261 18.2945i −0.889554 0.842074i
\(473\) 9.64695 + 16.7090i 0.443567 + 0.768281i
\(474\) 1.09107 + 12.2857i 0.0501144 + 0.564300i
\(475\) 1.42683 + 5.32501i 0.0654676 + 0.244328i
\(476\) −0.0376800 0.0432740i −0.00172706 0.00198346i
\(477\) −2.21614 2.28665i −0.101470 0.104698i
\(478\) −7.07854 + 2.64987i −0.323765 + 0.121202i
\(479\) 10.4276 18.0611i 0.476450 0.825235i −0.523186 0.852218i \(-0.675257\pi\)
0.999636 + 0.0269835i \(0.00859016\pi\)
\(480\) −8.41600 + 26.1644i −0.384136 + 1.19424i
\(481\) 3.61918 + 6.26860i 0.165020 + 0.285824i
\(482\) 23.8656 + 19.6568i 1.08705 + 0.895344i
\(483\) −0.0641953 0.0652084i −0.00292099 0.00296708i
\(484\) 2.64120 0.515650i 0.120054 0.0234386i
\(485\) −6.52570 + 6.52570i −0.296317 + 0.296317i
\(486\) 12.0973 + 18.4298i 0.548743 + 0.835991i
\(487\) 34.0126 1.54126 0.770629 0.637284i \(-0.219942\pi\)
0.770629 + 0.637284i \(0.219942\pi\)
\(488\) 28.0768 + 6.70405i 1.27098 + 0.303478i
\(489\) −15.4748 0.121147i −0.699795 0.00547844i
\(490\) −27.6402 + 2.67292i −1.24866 + 0.120750i
\(491\) 0.378725 1.41342i 0.0170916 0.0637868i −0.956853 0.290571i \(-0.906155\pi\)
0.973945 + 0.226785i \(0.0728213\pi\)
\(492\) −15.1346 10.3635i −0.682322 0.467221i
\(493\) −2.96609 11.0696i −0.133586 0.498550i
\(494\) 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
\(498\) 20.3486 24.3151i 0.911843 1.08959i
\(499\) 9.43390 35.2078i 0.422319 1.57612i −0.347389 0.937721i \(-0.612932\pi\)
0.769708 0.638396i \(-0.220402\pi\)
\(500\) −5.25024 10.7422i −0.234798 0.480405i
\(501\) 5.48583 19.8505i 0.245089 0.886854i
\(502\) −29.9639 + 21.3916i −1.33735 + 0.954755i
\(503\) 10.8529i 0.483908i −0.970288 0.241954i \(-0.922212\pi\)
0.970288 0.241954i \(-0.0777882\pi\)
\(504\) −0.0619816 + 0.0367633i −0.00276088 + 0.00163757i
\(505\) 7.74741i 0.344755i
\(506\) 15.8823 + 22.2469i 0.706056 + 0.988994i
\(507\) 52.3387 13.5859i 2.32444 0.603370i
\(508\) −4.55477 + 13.2634i −0.202085 + 0.588468i
\(509\) 1.05732 3.94598i 0.0468650 0.174903i −0.938526 0.345207i \(-0.887809\pi\)
0.985391 + 0.170305i \(0.0544752\pi\)
\(510\) 21.8014 7.96738i 0.965380 0.352802i
\(511\) 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
\(515\) −8.02259 29.9407i −0.353517 1.31934i
\(516\) −13.9979 16.3325i −0.616225 0.718998i
\(517\) 0.153647 0.573417i 0.00675737 0.0252189i
\(518\) 0.00125842 + 0.0130131i 5.52918e−5 + 0.000571764i
\(519\) −0.425694 + 0.724171i −0.0186859 + 0.0317876i
\(520\) 44.9513 27.6225i 1.97124 1.21133i
\(521\) −13.4286 −0.588318 −0.294159 0.955757i \(-0.595039\pi\)
−0.294159 + 0.955757i \(0.595039\pi\)
\(522\) −14.3460 + 1.16093i −0.627909 + 0.0508124i
\(523\) 23.5806 23.5806i 1.03111 1.03111i 0.0316083 0.999500i \(-0.489937\pi\)
0.999500 0.0316083i \(-0.0100629\pi\)
\(524\) 13.8162 + 9.30261i 0.603562 + 0.406386i
\(525\) −0.0112410 + 0.0406757i −0.000490599 + 0.00177523i
\(526\) −3.79514 + 4.60773i −0.165476 + 0.200907i
\(527\) 13.0715 + 22.6405i 0.569404 + 0.986237i
\(528\) 20.0090 7.94059i 0.870782 0.345570i
\(529\) 7.84782 13.5928i 0.341210 0.590992i
\(530\) 1.47629 + 3.94357i 0.0641258 + 0.171298i
\(531\) 27.1465 + 7.73140i 1.17806 + 0.335514i
\(532\) 0.0325629 + 0.00225013i 0.00141178 + 9.75554e-5i
\(533\) 9.11332 + 34.0114i 0.394742 + 1.47320i
\(534\) 25.5864 + 36.4395i 1.10723 + 1.57689i
\(535\) −3.83937 6.64999i −0.165991 0.287504i
\(536\) 16.5264 + 15.6443i 0.713831 + 0.675730i
\(537\) −0.132630 + 16.9416i −0.00572340 + 0.731086i
\(538\) 22.4359 16.0173i 0.967281 0.690555i
\(539\) 15.3795 + 15.3795i 0.662443 + 0.662443i
\(540\) −4.91252 28.7350i −0.211401 1.23656i
\(541\) −31.9545 + 31.9545i −1.37383 + 1.37383i −0.519148 + 0.854684i \(0.673751\pi\)
−0.854684 + 0.519148i \(0.826249\pi\)
\(542\) 19.9754 + 3.33430i 0.858018 + 0.143221i
\(543\) −5.38266 0.0421388i −0.230992 0.00180835i
\(544\) −12.9391 14.0625i −0.554761 0.602923i
\(545\) −20.5582 + 11.8693i −0.880618 + 0.508425i
\(546\) 0.136265 + 0.0238434i 0.00583162 + 0.00102040i
\(547\) −10.3053 + 2.76131i −0.440625 + 0.118065i −0.472309 0.881433i \(-0.656579\pi\)
0.0316846 + 0.999498i \(0.489913\pi\)
\(548\) 8.20090 7.14078i 0.350325 0.305039i
\(549\) −29.6943 + 7.46031i −1.26732 + 0.318398i
\(550\) 5.22296 11.4732i 0.222708 0.489220i
\(551\) 5.64571 + 3.25955i 0.240515 + 0.138862i
\(552\) −21.9666 21.1226i −0.934960 0.899038i
\(553\) 0.0370351 0.0213822i 0.00157489 0.000909265i
\(554\) 0.901228 + 9.31947i 0.0382895 + 0.395946i
\(555\) −5.09763 1.40877i −0.216382 0.0597989i
\(556\) 23.3543 + 15.7247i 0.990441 + 0.666877i
\(557\) −11.6850 11.6850i −0.495109 0.495109i 0.414802 0.909912i \(-0.363851\pi\)
−0.909912 + 0.414802i \(0.863851\pi\)
\(558\) 30.9260 11.0283i 1.30920 0.466867i
\(559\) 41.2915i 1.74645i
\(560\) 0.0945650 0.0117690i 0.00399610 0.000497329i
\(561\) −15.6729 9.21309i −0.661711 0.388977i
\(562\) 4.01793 + 3.30936i 0.169486 + 0.139597i
\(563\) 8.64631 + 2.31677i 0.364398 + 0.0976403i 0.436372 0.899766i \(-0.356263\pi\)
−0.0719737 + 0.997407i \(0.522930\pi\)
\(564\) −0.0507924 + 0.659889i −0.00213875 + 0.0277863i
\(565\) −36.8764 + 9.88100i −1.55140 + 0.415697i
\(566\) 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 −0.967172 0.254122i \(-0.918214\pi\)
0.703662 + 0.710535i \(0.251547\pi\)
\(570\) −5.56457 + 11.9742i −0.233074 + 0.501543i
\(571\) 13.9023 + 3.72510i 0.581791 + 0.155890i 0.537699 0.843137i \(-0.319294\pi\)
0.0440924 + 0.999027i \(0.485960\pi\)
\(572\) −39.0834 13.4216i −1.63416 0.561184i
\(573\) −5.51059 21.2292i −0.230208 0.886863i
\(574\) −0.0104709 + 0.0627301i −0.000437048 + 0.00261830i
\(575\) −17.8457 −0.744216
\(576\) −20.2988 + 12.8047i −0.845782 + 0.533529i
\(577\) 17.0561 0.710056 0.355028 0.934856i \(-0.384471\pi\)
0.355028 + 0.934856i \(0.384471\pi\)
\(578\) 1.30118 7.79523i 0.0541220 0.324239i
\(579\) 16.6780 + 4.60908i 0.693113 + 0.191547i
\(580\) 18.0008 + 6.18161i 0.747441 + 0.256677i
\(581\) −0.106186 0.0284525i −0.00440534 0.00118041i
\(582\) −8.02707 + 0.712868i −0.332733 + 0.0295493i
\(583\) 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
\(587\) 17.2954 4.63428i 0.713856 0.191277i 0.116427 0.993199i \(-0.462856\pi\)
0.597428 + 0.801922i \(0.296189\pi\)
\(588\) −20.0074 13.7001i −0.825091 0.564982i
\(589\) −14.3648 3.84904i −0.591891 0.158597i
\(590\) −28.8105 23.7297i −1.18611 0.976936i
\(591\) −0.00525195 + 0.670864i −0.000216037 + 0.0275957i
\(592\) 0.537730 + 4.32073i 0.0221006 + 0.177581i
\(593\) 25.5455i 1.04903i −0.851402 0.524514i \(-0.824247\pi\)
0.851402 0.524514i \(-0.175753\pi\)
\(594\) −14.9261 + 17.2786i −0.612427 + 0.708951i
\(595\) −0.0569073 0.0569073i −0.00233297 0.00233297i
\(596\) −15.7535 10.6070i −0.645287 0.434480i
\(597\) −22.2844 + 21.9382i −0.912041 + 0.897872i
\(598\) 5.63085 + 58.2278i 0.230263 + 2.38111i
\(599\) 1.66118 0.959083i 0.0678740 0.0391871i −0.465679 0.884954i \(-0.654190\pi\)
0.533553 + 0.845767i \(0.320857\pi\)
\(600\) −3.37096 + 13.6440i −0.137619 + 0.557014i
\(601\) −7.76786 4.48478i −0.316858 0.182938i 0.333133 0.942880i \(-0.391894\pi\)
−0.649991 + 0.759942i \(0.725227\pi\)
\(602\) −0.0309000 + 0.0678779i −0.00125939 + 0.00276650i
\(603\) −23.2140 6.61139i −0.945345 0.269237i
\(604\) 6.84015 5.95593i 0.278322 0.242343i
\(605\) 3.64579 0.976888i 0.148223 0.0397161i
\(606\) 4.34177 5.18810i 0.176372 0.210752i
\(607\) −20.1239 + 11.6185i −0.816802 + 0.471581i −0.849312 0.527890i \(-0.822983\pi\)
0.0325103 + 0.999471i \(0.489650\pi\)
\(608\) 10.8611 + 0.451847i 0.440476 + 0.0183248i
\(609\) 0.0246125 + 0.0434113i 0.000997347 + 0.00175912i
\(610\) 39.9342 + 6.66583i 1.61689 + 0.269892i
\(611\) 0.898366 0.898366i 0.0363440 0.0363440i
\(612\) 19.0644 + 6.88241i 0.770634 + 0.278205i
\(613\) 18.6158 + 18.6158i 0.751886 + 0.751886i 0.974831 0.222945i \(-0.0715670\pi\)
−0.222945 + 0.974831i \(0.571567\pi\)
\(614\) 38.1372 27.2267i 1.53909 1.09878i
\(615\) −22.1789 13.0376i −0.894340 0.525725i
\(616\) −0.0542041 0.0513109i −0.00218395 0.00206738i
\(617\) −18.3062 31.7073i −0.736981 1.27649i −0.953849 0.300288i \(-0.902917\pi\)
0.216868 0.976201i \(-0.430416\pi\)
\(618\) 11.4069 24.5459i 0.458851 0.987382i
\(619\) 6.87138 + 25.6443i 0.276184 + 1.03073i 0.955044 + 0.296465i \(0.0958077\pi\)
−0.678860 + 0.734268i \(0.737526\pi\)
\(620\) −43.3143 2.99306i −1.73954 0.120204i
\(621\) 31.0166 + 9.09671i 1.24465 + 0.365039i
\(622\) 14.8331 + 39.6232i 0.594752 + 1.58875i
\(623\) 0.0771889 0.133695i 0.00309251 0.00535638i
\(624\) 45.5820 + 6.69385i 1.82474 + 0.267969i
\(625\) −15.5570 26.9455i −0.622280 1.07782i
\(626\) −13.5498 + 16.4510i −0.541559 + 0.657514i
\(627\) 10.0101 2.59839i 0.399766 0.103770i
\(628\) 32.8192 + 22.0976i 1.30963 + 0.881790i
\(629\) 2.60013 2.60013i 0.103674 0.103674i
\(630\) −0.0831721 + 0.0574333i −0.00331366 + 0.00228820i
\(631\) −28.2467 −1.12449 −0.562243 0.826972i \(-0.690061\pi\)
−0.562243 + 0.826972i \(0.690061\pi\)
\(632\) 12.1342 7.45646i 0.482674 0.296602i
\(633\) −2.06441 3.64120i −0.0820530 0.144725i
\(634\) −2.84182 29.3868i −0.112863 1.16710i
\(635\) −5.09076 + 18.9990i −0.202021 + 0.753952i
\(636\) −1.22143 + 3.46817i −0.0484329 + 0.137522i
\(637\) 12.0475 + 44.9617i 0.477338 + 1.78145i
\(638\) −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 \(0.560104\pi\)
\(642\) 1.15570 6.60484i 0.0456118 0.260672i
\(643\) −1.52303 + 5.68404i −0.0600626 + 0.224157i −0.989433 0.144993i \(-0.953684\pi\)
0.929370 + 0.369149i \(0.120351\pi\)
\(644\) −0.0343177 + 0.0999326i −0.00135231 + 0.00393790i
\(645\) −21.1655 21.4995i −0.833392 0.846544i
\(646\) −5.33419 7.47176i −0.209871 0.293973i
\(647\) 37.4518i 1.47238i 0.676773 + 0.736192i \(0.263378\pi\)
−0.676773 + 0.736192i \(0.736622\pi\)
\(648\) 12.8138 21.9956i 0.503375 0.864068i
\(649\) 29.2343i 1.14755i
\(650\) 21.9574 15.6757i 0.861241 0.614851i
\(651\) −0.0798645 0.0811248i −0.00313014 0.00317953i
\(652\) 7.84660 + 16.0544i 0.307296 + 0.628739i
\(653\) −5.70340 + 21.2854i −0.223191 + 0.832962i 0.759930 + 0.650005i \(0.225233\pi\)
−0.983121 + 0.182956i \(0.941433\pi\)
\(654\) −20.4187 3.57281i −0.798433 0.139708i
\(655\) 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
\(659\) −6.39350 23.8609i −0.249055 0.929487i −0.971302 0.237851i \(-0.923557\pi\)
0.722246 0.691636i \(-0.243110\pi\)
\(660\) 27.2296 13.0454i 1.05991 0.507790i
\(661\) −0.958674 + 3.57782i −0.0372881 + 0.139161i −0.982060 0.188566i \(-0.939616\pi\)
0.944772 + 0.327727i \(0.106283\pi\)
\(662\) 26.8805 2.59944i 1.04474 0.101030i
\(663\) −19.1897 33.8467i −0.745267 1.31450i
\(664\) −35.6102 8.50284i −1.38195 0.329974i
\(665\) 0.0457807 0.00177530
\(666\) −2.62416 3.80018i −0.101684 0.147254i
\(667\) −14.9221 + 14.9221i −0.577785 + 0.577785i
\(668\) −23.3399 + 4.55673i −0.903047 + 0.176305i
\(669\) −0.0550936 + 0.0143010i −0.00213004 + 0.000552908i
\(670\) 24.6369 + 20.2921i 0.951807 + 0.783952i
\(671\) −15.8554 27.4624i −0.612091 1.06017i
\(672\) 0.0699215 + 0.0451145i 0.00269728 + 0.00174033i
\(673\) 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
\(675\) −3.51896 14.4855i −0.135445 0.557546i
\(676\) −41.0020 47.0892i −1.57700 1.81112i
\(677\) −6.56283 24.4928i −0.252230 0.941335i −0.969611 0.244654i \(-0.921326\pi\)
0.717381 0.696681i \(-0.245341\pi\)
\(678\) −30.2320 14.0492i −1.16105 0.539558i
\(679\) 0.0139705 + 0.0241976i 0.000536137 + 0.000928617i
\(680\) −19.4645 18.4256i −0.746431 0.706589i
\(681\) 27.6804 + 16.2715i 1.06071 + 0.623526i
\(682\) 19.7590 + 27.6770i 0.756611 + 1.05981i
\(683\) 1.88928 + 1.88928i 0.0722912 + 0.0722912i 0.742328 0.670037i \(-0.233722\pi\)
−0.670037 + 0.742328i \(0.733722\pi\)
\(684\) −10.4369 + 4.90009i −0.399063 + 0.187360i
\(685\) 10.7845 10.7845i 0.412056 0.412056i
\(686\) −0.0276844 + 0.165854i −0.00105700 + 0.00633235i
\(687\) −23.3096 41.1134i −0.889317 1.56857i
\(688\) −9.66736 + 22.8794i −0.368565 + 0.872268i
\(689\) 6.11273 3.52918i 0.232876 0.134451i
\(690\) −32.7787 27.4315i −1.24786 1.04430i
\(691\) 19.4017 5.19868i 0.738077 0.197767i 0.129854 0.991533i \(-0.458549\pi\)
0.608223 + 0.793766i \(0.291883\pi\)
\(692\) 0.967668 + 0.0668667i 0.0367852 + 0.00254189i
\(693\) 0.0761384 + 0.0216844i 0.00289226 + 0.000823722i
\(694\) −27.8798 12.6917i −1.05830 0.481771i
\(695\) 34.1985 + 19.7445i 1.29722 + 0.748951i
\(696\) 8.59003 + 14.2274i 0.325604 + 0.539290i
\(697\) 15.4910 8.94375i 0.586765 0.338769i
\(698\) −2.31913 + 0.224269i −0.0877804 + 0.00848871i
\(699\) 9.16881 9.02637i 0.346796 0.341409i
\(700\) 0.0478258 0.00933720i 0.00180765 0.000352913i
\(701\) 10.9010 + 10.9010i 0.411725 + 0.411725i 0.882339 0.470614i \(-0.155968\pi\)
−0.470614 + 0.882339i \(0.655968\pi\)
\(702\) −46.1536 + 16.0525i −1.74196 + 0.605861i
\(703\) 2.09175i 0.0788918i
\(704\) −18.5135 16.5872i −0.697755 0.625153i
\(705\) −0.00726692 + 0.928249i −0.000273688 + 0.0349599i
\(706\) −4.06835 + 4.93944i −0.153114 + 0.185898i
\(707\) −0.0226568 0.00607088i −0.000852098 0.000228319i
\(708\) −5.99465 32.0366i −0.225293 1.20401i
\(709\) 15.4807 4.14803i 0.581389 0.155783i 0.0438741 0.999037i \(-0.486030\pi\)
0.537515 + 0.843254i \(0.319363\pi\)
\(710\) 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
\(714\) −0.00621656 0.0700000i −0.000232649 0.00261968i
\(715\) −55.9845 15.0010i −2.09370 0.561006i
\(716\) 17.5762 8.59036i 0.656852 0.321037i
\(717\) −8.92251 2.46580i −0.333217 0.0920871i
\(718\) −15.4362 2.57662i −0.576076 0.0961586i
\(719\) −21.7763 −0.812119 −0.406060 0.913847i \(-0.633097\pi\)
−0.406060 + 0.913847i \(0.633097\pi\)
\(720\) −27.1646 + 19.8794i −1.01237 + 0.740862i
\(721\) −0.0938463 −0.00349502
\(722\) −21.3523 3.56413i −0.794651 0.132643i
\(723\) 9.51416 + 36.6527i 0.353835 + 1.36313i
\(724\) 2.72931 + 5.58425i 0.101434 + 0.207537i
\(725\) 9.40068 + 2.51890i 0.349132 + 0.0935497i
\(726\) 2.98889 + 1.38898i 0.110928 + 0.0515499i
\(727\) −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
\(731\) 20.2616 5.42908i 0.749403 0.200802i
\(732\) 23.0066 + 26.8436i 0.850347 + 0.992167i
\(733\) 12.7415 + 3.41408i 0.470618 + 0.126102i 0.486331 0.873775i \(-0.338335\pi\)
−0.0157124 + 0.999877i \(0.505002\pi\)
\(734\) −4.96020 + 6.02225i −0.183084 + 0.222285i
\(735\) −29.3196 17.2351i −1.08147 0.635728i
\(736\) −10.5125 + 33.5819i −0.387497 + 1.23785i
\(737\) 24.9993i 0.920860i
\(738\) −7.54578 21.1601i −0.277764 0.778913i
\(739\) −23.2424 23.2424i −0.854984 0.854984i 0.135758 0.990742i \(-0.456653\pi\)
−0.990742 + 0.135758i \(0.956653\pi\)
\(740\) 1.17017 + 5.99372i 0.0430165 + 0.220333i
\(741\) 21.3334 + 5.89563i 0.783701 + 0.216582i
\(742\) 0.0126895 0.00122713i 0.000465848 4.50493e-5i
\(743\) 24.5336 14.1645i 0.900049 0.519643i 0.0228329 0.999739i \(-0.492731\pi\)
0.877216 + 0.480096i \(0.159398\pi\)
\(744\) −27.3283 26.2783i −1.00190 0.963410i
\(745\) −23.0683 13.3185i −0.845159 0.487953i
\(746\) −10.8836 4.95453i −0.398476 0.181398i
\(747\) 37.6617 9.46202i 1.37797 0.346197i
\(748\) −1.44717 + 20.9428i −0.0529136 + 0.765744i
\(749\) −0.0224560 + 0.00601707i −0.000820525 + 0.000219859i
\(750\) 2.52398 14.4246i 0.0921626 0.526711i
\(751\) 22.5527 13.0208i 0.822960 0.475136i −0.0284763 0.999594i \(-0.509066\pi\)
0.851436 + 0.524458i \(0.175732\pi\)
\(752\) 0.708108 0.287449i 0.0258220 0.0104822i
\(753\) −45.0891 0.352986i −1.64314 0.0128635i
\(754\) 5.25261 31.4678i 0.191289 1.14599i
\(755\) 8.99509 8.99509i 0.327365 0.327365i
\(756\) −0.0878832 0.00815039i −0.00319628 0.000296427i
\(757\) 4.87465 + 4.87465i 0.177172 + 0.177172i 0.790122 0.612950i \(-0.210017\pi\)
−0.612950 + 0.790122i \(0.710017\pi\)
\(758\) −23.8017 33.3397i −0.864516 1.21095i
\(759\) −0.262077 + 33.4767i −0.00951279 + 1.21513i
\(760\) 15.2409 0.417902i 0.552846 0.0151589i
\(761\) −3.18964 5.52462i −0.115624 0.200267i 0.802405 0.596780i \(-0.203554\pi\)
−0.918029 + 0.396513i \(0.870220\pi\)
\(762\) −14.0564 + 9.86984i −0.509209 + 0.357546i
\(763\) 0.0186016 + 0.0694221i 0.000673423 + 0.00251325i
\(764\) −19.0999 + 16.6309i −0.691012 + 0.601685i
\(765\) 27.3410 + 7.78679i 0.988518 + 0.281532i
\(766\) 5.67996 2.12631i 0.205225 0.0768267i
\(767\) −31.2827 + 54.1832i −1.12955 + 1.95644i
\(768\) 23.6895 + 14.3809i 0.854820 + 0.518925i
\(769\) −9.57641 16.5868i −0.345334 0.598136i 0.640080 0.768308i \(-0.278901\pi\)
−0.985414 + 0.170172i \(0.945568\pi\)
\(770\) −0.0808054 0.0665551i −0.00291202 0.00239848i
\(771\) −3.71141 + 13.4298i −0.133663 + 0.483661i
\(772\) −3.82847 19.6097i −0.137790