Properties

Label 588.2.ba.b.187.15
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.15
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0531662 - 1.41321i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(-1.99435 - 0.150270i) q^{4} +(-0.462080 + 0.181353i) q^{5} +(-0.263201 + 1.38951i) q^{6} +(-2.59558 - 0.512816i) q^{7} +(-0.318396 + 2.81045i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(0.0531662 - 1.41321i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(-1.99435 - 0.150270i) q^{4} +(-0.462080 + 0.181353i) q^{5} +(-0.263201 + 1.38951i) q^{6} +(-2.59558 - 0.512816i) q^{7} +(-0.318396 + 2.81045i) q^{8} +(0.955573 + 0.294755i) q^{9} +(0.231723 + 0.662659i) q^{10} +(1.33192 + 4.31796i) q^{11} +(1.94967 + 0.445834i) q^{12} +(3.68398 + 0.840845i) q^{13} +(-0.862715 + 3.64084i) q^{14} +(0.483948 - 0.110458i) q^{15} +(3.95484 + 0.599382i) q^{16} +(1.13757 - 1.66851i) q^{17} +(0.467356 - 1.33476i) q^{18} +(0.488877 - 0.846760i) q^{19} +(0.948799 - 0.292244i) q^{20} +(2.49016 + 0.893939i) q^{21} +(6.17302 - 1.65271i) q^{22} +(-2.39323 - 3.51023i) q^{23} +(0.733715 - 2.73160i) q^{24} +(-3.48463 + 3.23326i) q^{25} +(1.38416 - 5.16155i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(5.09942 + 1.41277i) q^{28} +(8.70671 - 4.19293i) q^{29} +(-0.130371 - 0.689794i) q^{30} +(4.48423 + 7.76692i) q^{31} +(1.05732 - 5.55716i) q^{32} +(-0.673480 - 4.46825i) q^{33} +(-2.29748 - 1.69634i) q^{34} +(1.29236 - 0.233754i) q^{35} +(-1.86145 - 0.731438i) q^{36} +(-0.392678 + 5.23992i) q^{37} +(-1.17066 - 0.735907i) q^{38} +(-3.51751 - 1.38052i) q^{39} +(-0.362559 - 1.35639i) q^{40} +(2.78734 + 2.22283i) q^{41} +(1.39572 - 3.47159i) q^{42} +(-2.87270 + 2.29090i) q^{43} +(-2.00744 - 8.81167i) q^{44} +(-0.495005 + 0.0370955i) q^{45} +(-5.08794 + 3.19552i) q^{46} +(4.41509 + 4.09660i) q^{47} +(-3.82133 - 1.18213i) q^{48} +(6.47404 + 2.66211i) q^{49} +(4.38403 + 5.09643i) q^{50} +(-1.37355 + 1.48033i) q^{51} +(-7.22078 - 2.23053i) q^{52} +(0.569179 + 7.59516i) q^{53} +(-0.661072 + 1.25019i) q^{54} +(-1.39853 - 1.75370i) q^{55} +(2.26766 - 7.13146i) q^{56} +(-0.609620 + 0.764439i) q^{57} +(-5.46261 - 12.5274i) q^{58} +(4.24139 - 10.8069i) q^{59} +(-0.981758 + 0.147568i) q^{60} +(9.45717 + 0.708717i) q^{61} +(11.2147 - 5.92424i) q^{62} +(-2.32911 - 1.25509i) q^{63} +(-7.79725 - 1.78967i) q^{64} +(-1.85478 + 0.279563i) q^{65} +(-6.35040 + 0.714212i) q^{66} +(-11.2167 + 6.47598i) q^{67} +(-2.51944 + 3.15665i) q^{68} +(1.84333 + 3.82771i) q^{69} +(-0.261634 - 1.83881i) q^{70} +(-4.51992 + 9.38571i) q^{71} +(-1.13264 + 2.59174i) q^{72} +(-2.71203 - 2.92287i) q^{73} +(7.38426 + 0.833525i) q^{74} +(3.92760 - 2.67779i) q^{75} +(-1.10223 + 1.61527i) q^{76} +(-1.24277 - 11.8906i) q^{77} +(-2.13799 + 4.89760i) q^{78} +(5.03527 + 2.90712i) q^{79} +(-1.93615 + 0.440259i) q^{80} +(0.826239 + 0.563320i) q^{81} +(3.28953 - 3.82093i) q^{82} +(-2.39269 - 10.4831i) q^{83} +(-4.83190 - 2.15702i) q^{84} +(-0.223059 + 0.977287i) q^{85} +(3.08481 + 4.18154i) q^{86} +(-9.23439 + 2.84843i) q^{87} +(-12.5595 + 2.36846i) q^{88} +(-0.636448 + 2.06331i) q^{89} +(0.0261064 + 0.701521i) q^{90} +(-9.13086 - 4.07168i) q^{91} +(4.24545 + 7.36024i) q^{92} +(-3.27655 - 8.34851i) q^{93} +(6.02411 - 6.02166i) q^{94} +(-0.0723377 + 0.479930i) q^{95} +(-1.87376 + 5.33751i) q^{96} +4.38229i q^{97} +(4.10633 - 9.00767i) q^{98} +4.51872i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0531662 1.41321i 0.0375942 0.999293i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) −1.99435 0.150270i −0.997173 0.0751352i
\(5\) −0.462080 + 0.181353i −0.206648 + 0.0811035i −0.466408 0.884570i \(-0.654452\pi\)
0.259759 + 0.965673i \(0.416357\pi\)
\(6\) −0.263201 + 1.38951i −0.107451 + 0.567263i
\(7\) −2.59558 0.512816i −0.981036 0.193826i
\(8\) −0.318396 + 2.81045i −0.112570 + 0.993644i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 0.231723 + 0.662659i 0.0732774 + 0.209551i
\(11\) 1.33192 + 4.31796i 0.401588 + 1.30192i 0.900346 + 0.435174i \(0.143313\pi\)
−0.498759 + 0.866741i \(0.666211\pi\)
\(12\) 1.94967 + 0.445834i 0.562823 + 0.128701i
\(13\) 3.68398 + 0.840845i 1.02175 + 0.233208i 0.700399 0.713751i \(-0.253005\pi\)
0.321353 + 0.946959i \(0.395862\pi\)
\(14\) −0.862715 + 3.64084i −0.230570 + 0.973056i
\(15\) 0.483948 0.110458i 0.124955 0.0285201i
\(16\) 3.95484 + 0.599382i 0.988709 + 0.149846i
\(17\) 1.13757 1.66851i 0.275902 0.404674i −0.663130 0.748504i \(-0.730772\pi\)
0.939032 + 0.343831i \(0.111725\pi\)
\(18\) 0.467356 1.33476i 0.110157 0.314605i
\(19\) 0.488877 0.846760i 0.112156 0.194260i −0.804483 0.593975i \(-0.797558\pi\)
0.916639 + 0.399715i \(0.130891\pi\)
\(20\) 0.948799 0.292244i 0.212158 0.0653477i
\(21\) 2.49016 + 0.893939i 0.543396 + 0.195073i
\(22\) 6.17302 1.65271i 1.31609 0.352359i
\(23\) −2.39323 3.51023i −0.499024 0.731933i 0.491257 0.871014i \(-0.336537\pi\)
−0.990281 + 0.139081i \(0.955585\pi\)
\(24\) 0.733715 2.73160i 0.149769 0.557586i
\(25\) −3.48463 + 3.23326i −0.696926 + 0.646653i
\(26\) 1.38416 5.16155i 0.271455 1.01226i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) 5.09942 + 1.41277i 0.963700 + 0.266989i
\(29\) 8.70671 4.19293i 1.61680 0.778608i 0.616832 0.787095i \(-0.288416\pi\)
0.999964 + 0.00848736i \(0.00270164\pi\)
\(30\) −0.130371 0.689794i −0.0238024 0.125939i
\(31\) 4.48423 + 7.76692i 0.805392 + 1.39498i 0.916026 + 0.401119i \(0.131379\pi\)
−0.110634 + 0.993861i \(0.535288\pi\)
\(32\) 1.05732 5.55716i 0.186909 0.982377i
\(33\) −0.673480 4.46825i −0.117238 0.777822i
\(34\) −2.29748 1.69634i −0.394015 0.290920i
\(35\) 1.29236 0.233754i 0.218449 0.0395116i
\(36\) −1.86145 0.731438i −0.310242 0.121906i
\(37\) −0.392678 + 5.23992i −0.0645559 + 0.861438i 0.867109 + 0.498119i \(0.165976\pi\)
−0.931665 + 0.363319i \(0.881643\pi\)
\(38\) −1.17066 0.735907i −0.189906 0.119380i
\(39\) −3.51751 1.38052i −0.563253 0.221060i
\(40\) −0.362559 1.35639i −0.0573256 0.214465i
\(41\) 2.78734 + 2.22283i 0.435310 + 0.347148i 0.816497 0.577350i \(-0.195913\pi\)
−0.381187 + 0.924498i \(0.624485\pi\)
\(42\) 1.39572 3.47159i 0.215364 0.535679i
\(43\) −2.87270 + 2.29090i −0.438083 + 0.349360i −0.817562 0.575841i \(-0.804675\pi\)
0.379479 + 0.925200i \(0.376103\pi\)
\(44\) −2.00744 8.81167i −0.302633 1.32841i
\(45\) −0.495005 + 0.0370955i −0.0737910 + 0.00552987i
\(46\) −5.08794 + 3.19552i −0.750176 + 0.471154i
\(47\) 4.41509 + 4.09660i 0.644007 + 0.597551i 0.933042 0.359767i \(-0.117144\pi\)
−0.289035 + 0.957318i \(0.593334\pi\)
\(48\) −3.82133 1.18213i −0.551562 0.170625i
\(49\) 6.47404 + 2.66211i 0.924863 + 0.380301i
\(50\) 4.38403 + 5.09643i 0.619995 + 0.720744i
\(51\) −1.37355 + 1.48033i −0.192335 + 0.207288i
\(52\) −7.22078 2.23053i −1.00134 0.309319i
\(53\) 0.569179 + 7.59516i 0.0781827 + 1.04328i 0.888979 + 0.457948i \(0.151415\pi\)
−0.810797 + 0.585328i \(0.800966\pi\)
\(54\) −0.661072 + 1.25019i −0.0899604 + 0.170130i
\(55\) −1.39853 1.75370i −0.188577 0.236468i
\(56\) 2.26766 7.13146i 0.303029 0.952981i
\(57\) −0.609620 + 0.764439i −0.0807461 + 0.101252i
\(58\) −5.46261 12.5274i −0.717275 1.64492i
\(59\) 4.24139 10.8069i 0.552181 1.40694i −0.333548 0.942733i \(-0.608246\pi\)
0.885729 0.464202i \(-0.153659\pi\)
\(60\) −0.981758 + 0.147568i −0.126744 + 0.0190510i
\(61\) 9.45717 + 0.708717i 1.21087 + 0.0907419i 0.664814 0.747009i \(-0.268511\pi\)
0.546052 + 0.837751i \(0.316130\pi\)
\(62\) 11.2147 5.92424i 1.42427 0.752380i
\(63\) −2.32911 1.25509i −0.293440 0.158127i
\(64\) −7.79725 1.78967i −0.974656 0.223709i
\(65\) −1.85478 + 0.279563i −0.230057 + 0.0346756i
\(66\) −6.35040 + 0.714212i −0.781680 + 0.0879134i
\(67\) −11.2167 + 6.47598i −1.37034 + 0.791166i −0.990971 0.134079i \(-0.957192\pi\)
−0.379370 + 0.925245i \(0.623859\pi\)
\(68\) −2.51944 + 3.15665i −0.305527 + 0.382800i
\(69\) 1.84333 + 3.82771i 0.221911 + 0.460803i
\(70\) −0.261634 1.83881i −0.0312712 0.219780i
\(71\) −4.51992 + 9.38571i −0.536416 + 1.11388i 0.440004 + 0.897996i \(0.354977\pi\)
−0.976419 + 0.215882i \(0.930737\pi\)
\(72\) −1.13264 + 2.59174i −0.133483 + 0.305439i
\(73\) −2.71203 2.92287i −0.317419 0.342097i 0.554107 0.832445i \(-0.313060\pi\)
−0.871526 + 0.490349i \(0.836869\pi\)
\(74\) 7.38426 + 0.833525i 0.858402 + 0.0968953i
\(75\) 3.92760 2.67779i 0.453521 0.309205i
\(76\) −1.10223 + 1.61527i −0.126435 + 0.185284i
\(77\) −1.24277 11.8906i −0.141627 1.35506i
\(78\) −2.13799 + 4.89760i −0.242079 + 0.554544i
\(79\) 5.03527 + 2.90712i 0.566513 + 0.327076i 0.755755 0.654854i \(-0.227270\pi\)
−0.189243 + 0.981930i \(0.560603\pi\)
\(80\) −1.93615 + 0.440259i −0.216468 + 0.0492224i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 3.28953 3.82093i 0.363268 0.421951i
\(83\) −2.39269 10.4831i −0.262632 1.15067i −0.918384 0.395691i \(-0.870505\pi\)
0.655752 0.754977i \(-0.272352\pi\)
\(84\) −4.83190 2.15702i −0.527204 0.235350i
\(85\) −0.223059 + 0.977287i −0.0241942 + 0.106002i
\(86\) 3.08481 + 4.18154i 0.332643 + 0.450907i
\(87\) −9.23439 + 2.84843i −0.990030 + 0.305384i
\(88\) −12.5595 + 2.36846i −1.33885 + 0.252479i
\(89\) −0.636448 + 2.06331i −0.0674633 + 0.218711i −0.983027 0.183463i \(-0.941269\pi\)
0.915563 + 0.402174i \(0.131745\pi\)
\(90\) 0.0261064 + 0.701521i 0.00275185 + 0.0739468i
\(91\) −9.13086 4.07168i −0.957174 0.426828i
\(92\) 4.24545 + 7.36024i 0.442619 + 0.767358i
\(93\) −3.27655 8.34851i −0.339762 0.865700i
\(94\) 6.02411 6.02166i 0.621339 0.621087i
\(95\) −0.0723377 + 0.479930i −0.00742169 + 0.0492397i
\(96\) −1.87376 + 5.33751i −0.191240 + 0.544757i
\(97\) 4.38229i 0.444954i 0.974938 + 0.222477i \(0.0714142\pi\)
−0.974938 + 0.222477i \(0.928586\pi\)
\(98\) 4.10633 9.00767i 0.414802 0.909912i
\(99\) 4.51872i 0.454148i
\(100\) 7.43543 5.92461i 0.743543 0.592461i
\(101\) −1.42841 + 9.47689i −0.142132 + 0.942986i 0.798118 + 0.602501i \(0.205829\pi\)
−0.940250 + 0.340485i \(0.889409\pi\)
\(102\) 2.01900 + 2.01982i 0.199910 + 0.199992i
\(103\) 5.89325 + 15.0158i 0.580679 + 1.47955i 0.855372 + 0.518015i \(0.173329\pi\)
−0.274692 + 0.961532i \(0.588576\pi\)
\(104\) −3.53612 + 10.0859i −0.346745 + 0.989006i
\(105\) −1.31277 + 0.0385259i −0.128113 + 0.00375974i
\(106\) 10.7638 0.400566i 1.04548 0.0389064i
\(107\) 0.260906 0.845837i 0.0252228 0.0817702i −0.942086 0.335370i \(-0.891139\pi\)
0.967309 + 0.253600i \(0.0816147\pi\)
\(108\) 1.73164 + 1.00070i 0.166628 + 0.0962927i
\(109\) −19.7881 + 6.10383i −1.89536 + 0.584641i −0.909874 + 0.414885i \(0.863822\pi\)
−0.985486 + 0.169757i \(0.945702\pi\)
\(110\) −2.55270 + 1.88318i −0.243391 + 0.179554i
\(111\) 1.16926 5.12287i 0.110981 0.486242i
\(112\) −9.95771 3.58385i −0.940915 0.338642i
\(113\) −0.418473 1.83345i −0.0393666 0.172476i 0.951423 0.307887i \(-0.0996218\pi\)
−0.990790 + 0.135410i \(0.956765\pi\)
\(114\) 1.04790 + 0.902165i 0.0981452 + 0.0844955i
\(115\) 1.74245 + 1.18798i 0.162485 + 0.110780i
\(116\) −17.9943 + 7.05380i −1.67073 + 0.654929i
\(117\) 3.27247 + 1.88936i 0.302540 + 0.174671i
\(118\) −15.0469 6.56855i −1.38518 0.604684i
\(119\) −3.80830 + 3.74739i −0.349106 + 0.343522i
\(120\) 0.156349 + 1.39528i 0.0142727 + 0.127371i
\(121\) −7.78219 + 5.30581i −0.707472 + 0.482346i
\(122\) 1.50437 13.3273i 0.136199 1.20660i
\(123\) −2.42491 2.61344i −0.218647 0.235646i
\(124\) −7.77598 16.1638i −0.698304 1.45155i
\(125\) 2.10070 4.36215i 0.187892 0.390162i
\(126\) −1.89754 + 3.22480i −0.169047 + 0.287288i
\(127\) 3.17954 + 6.60237i 0.282138 + 0.585866i 0.993087 0.117377i \(-0.0374487\pi\)
−0.710949 + 0.703243i \(0.751734\pi\)
\(128\) −2.94374 + 10.9240i −0.260192 + 0.965557i
\(129\) 3.18206 1.83716i 0.280165 0.161753i
\(130\) 0.296471 + 2.63607i 0.0260022 + 0.231198i
\(131\) 13.6778 2.06159i 1.19503 0.180122i 0.478763 0.877944i \(-0.341085\pi\)
0.716271 + 0.697822i \(0.245847\pi\)
\(132\) 0.671708 + 9.01244i 0.0584647 + 0.784432i
\(133\) −1.70315 + 1.94713i −0.147682 + 0.168837i
\(134\) 8.55559 + 16.1959i 0.739090 + 1.39911i
\(135\) 0.495005 + 0.0370955i 0.0426033 + 0.00319267i
\(136\) 4.32707 + 3.72834i 0.371043 + 0.319702i
\(137\) 1.32131 3.36664i 0.112887 0.287632i −0.863254 0.504770i \(-0.831577\pi\)
0.976141 + 0.217139i \(0.0696724\pi\)
\(138\) 5.50738 2.40151i 0.468819 0.204431i
\(139\) 7.36307 9.23300i 0.624527 0.783133i −0.364446 0.931224i \(-0.618742\pi\)
0.988974 + 0.148092i \(0.0473131\pi\)
\(140\) −2.61255 + 0.271982i −0.220801 + 0.0229866i
\(141\) −3.75521 4.70888i −0.316246 0.396559i
\(142\) 13.0237 + 6.88661i 1.09292 + 0.577912i
\(143\) 1.27601 + 17.0272i 0.106706 + 1.42389i
\(144\) 3.60246 + 1.73846i 0.300205 + 0.144872i
\(145\) −3.26279 + 3.51645i −0.270960 + 0.292026i
\(146\) −4.27484 + 3.67728i −0.353788 + 0.304334i
\(147\) −6.00496 3.59728i −0.495281 0.296699i
\(148\) 1.57054 10.3912i 0.129098 0.854153i
\(149\) −11.7897 10.9392i −0.965848 0.896176i 0.0287907 0.999585i \(-0.490834\pi\)
−0.994639 + 0.103409i \(0.967025\pi\)
\(150\) −3.57548 5.69291i −0.291937 0.464824i
\(151\) 18.4190 1.38031i 1.49892 0.112328i 0.700162 0.713984i \(-0.253111\pi\)
0.798756 + 0.601655i \(0.205492\pi\)
\(152\) 2.22412 + 1.64357i 0.180400 + 0.133311i
\(153\) 1.57884 1.25908i 0.127641 0.101791i
\(154\) −16.8701 + 1.12412i −1.35943 + 0.0905840i
\(155\) −3.48063 2.77571i −0.279571 0.222950i
\(156\) 6.80769 + 3.28182i 0.545051 + 0.262756i
\(157\) −5.70645 2.23962i −0.455424 0.178741i 0.126529 0.991963i \(-0.459616\pi\)
−0.581954 + 0.813222i \(0.697711\pi\)
\(158\) 4.37608 6.96136i 0.348142 0.553816i
\(159\) 0.569179 7.59516i 0.0451388 0.602336i
\(160\) 0.519242 + 2.75960i 0.0410497 + 0.218166i
\(161\) 4.41172 + 10.3384i 0.347692 + 0.814777i
\(162\) 0.840020 1.13770i 0.0659982 0.0893864i
\(163\) 1.15104 + 7.63666i 0.0901565 + 0.598149i 0.987597 + 0.157013i \(0.0501864\pi\)
−0.897440 + 0.441136i \(0.854576\pi\)
\(164\) −5.22490 4.85195i −0.407996 0.378874i
\(165\) 1.12153 + 1.94255i 0.0873111 + 0.151227i
\(166\) −14.9420 + 2.82404i −1.15973 + 0.219188i
\(167\) 17.2894 8.32613i 1.33789 0.644295i 0.378299 0.925684i \(-0.376509\pi\)
0.959594 + 0.281389i \(0.0907950\pi\)
\(168\) −3.30522 + 6.71383i −0.255004 + 0.517983i
\(169\) 1.15210 + 0.554824i 0.0886234 + 0.0426788i
\(170\) 1.36926 + 0.367189i 0.105017 + 0.0281621i
\(171\) 0.716744 0.665041i 0.0548108 0.0508570i
\(172\) 6.07342 4.13718i 0.463094 0.315457i
\(173\) 0.816364 + 1.19739i 0.0620670 + 0.0910355i 0.856018 0.516947i \(-0.172932\pi\)
−0.793951 + 0.607982i \(0.791979\pi\)
\(174\) 3.53449 + 13.2016i 0.267949 + 1.00081i
\(175\) 10.7027 6.60521i 0.809048 0.499307i
\(176\) 2.67940 + 17.8752i 0.201967 + 1.34739i
\(177\) −5.80469 + 10.0540i −0.436308 + 0.755707i
\(178\) 2.88206 + 1.00913i 0.216020 + 0.0756379i
\(179\) 1.53555 2.25225i 0.114773 0.168341i −0.764554 0.644560i \(-0.777041\pi\)
0.879327 + 0.476219i \(0.157993\pi\)
\(180\) 0.992787 0.000403274i 0.0739979 3.00583e-5i
\(181\) −21.4721 + 4.90087i −1.59601 + 0.364279i −0.925836 0.377925i \(-0.876638\pi\)
−0.670174 + 0.742204i \(0.733780\pi\)
\(182\) −6.23961 + 12.6874i −0.462511 + 0.940451i
\(183\) −9.24591 2.11032i −0.683477 0.155999i
\(184\) 10.6273 5.60842i 0.783456 0.413458i
\(185\) −0.768827 2.49247i −0.0565253 0.183250i
\(186\) −11.9724 + 4.18661i −0.877861 + 0.306977i
\(187\) 8.71973 + 2.68968i 0.637650 + 0.196689i
\(188\) −8.18962 8.83350i −0.597289 0.644249i
\(189\) 2.11603 + 1.58821i 0.153919 + 0.115525i
\(190\) 0.674397 + 0.127745i 0.0489259 + 0.00926757i
\(191\) 6.87918 2.69988i 0.497760 0.195356i −0.103161 0.994665i \(-0.532896\pi\)
0.600921 + 0.799308i \(0.294801\pi\)
\(192\) 7.44342 + 2.93180i 0.537183 + 0.211585i
\(193\) 10.5021 + 1.58294i 0.755958 + 0.113942i 0.515703 0.856768i \(-0.327531\pi\)
0.240255 + 0.970710i \(0.422769\pi\)
\(194\) 6.19311 + 0.232990i 0.444640 + 0.0167277i
\(195\) 1.87573 0.134324
\(196\) −12.5114 6.28202i −0.893675 0.448716i
\(197\) −11.7585 −0.837760 −0.418880 0.908042i \(-0.637577\pi\)
−0.418880 + 0.908042i \(0.637577\pi\)
\(198\) 6.38592 + 0.240243i 0.453827 + 0.0170733i
\(199\) −12.9777 1.95607i −0.919963 0.138662i −0.328047 0.944661i \(-0.606390\pi\)
−0.591916 + 0.805999i \(0.701628\pi\)
\(200\) −7.97743 10.8228i −0.564090 0.765290i
\(201\) 12.0566 4.73188i 0.850409 0.333761i
\(202\) 13.3169 + 2.52250i 0.936976 + 0.177483i
\(203\) −24.7491 + 6.41813i −1.73705 + 0.450465i
\(204\) 2.96178 2.74589i 0.207366 0.192251i
\(205\) −1.69109 0.521632i −0.118111 0.0364324i
\(206\) 21.5338 7.53010i 1.50033 0.524647i
\(207\) −1.25225 4.05970i −0.0870374 0.282168i
\(208\) 14.0656 + 5.53352i 0.975271 + 0.383680i
\(209\) 4.30742 + 0.983141i 0.297951 + 0.0680053i
\(210\) −0.0153495 + 1.85727i −0.00105922 + 0.128164i
\(211\) 9.56913 2.18409i 0.658766 0.150359i 0.119947 0.992780i \(-0.461728\pi\)
0.538819 + 0.842421i \(0.318871\pi\)
\(212\) 0.00618768 15.2329i 0.000424972 1.04620i
\(213\) 5.86830 8.60722i 0.402089 0.589757i
\(214\) −1.18148 0.413686i −0.0807641 0.0282790i
\(215\) 0.911955 1.57955i 0.0621948 0.107725i
\(216\) 1.50627 2.39398i 0.102489 0.162890i
\(217\) −7.65617 22.4592i −0.519735 1.52463i
\(218\) 7.57396 + 28.2894i 0.512973 + 1.91600i
\(219\) 2.24611 + 3.29444i 0.151778 + 0.222617i
\(220\) 2.52562 + 3.70764i 0.170277 + 0.249969i
\(221\) 5.59376 5.19025i 0.376277 0.349134i
\(222\) −7.17755 1.92478i −0.481726 0.129183i
\(223\) −20.5864 9.91387i −1.37856 0.663882i −0.409872 0.912143i \(-0.634426\pi\)
−0.968693 + 0.248262i \(0.920141\pi\)
\(224\) −5.59415 + 13.8818i −0.373775 + 0.927519i
\(225\) −4.28284 + 2.06251i −0.285523 + 0.137500i
\(226\) −2.61330 + 0.493914i −0.173834 + 0.0328547i
\(227\) −7.41704 12.8467i −0.492287 0.852665i 0.507674 0.861549i \(-0.330505\pi\)
−0.999961 + 0.00888398i \(0.997172\pi\)
\(228\) 1.33067 1.43295i 0.0881254 0.0948993i
\(229\) −2.20871 14.6538i −0.145956 0.968352i −0.935161 0.354223i \(-0.884745\pi\)
0.789205 0.614129i \(-0.210493\pi\)
\(230\) 1.77152 2.39930i 0.116810 0.158205i
\(231\) −0.543320 + 11.9431i −0.0357478 + 0.785795i
\(232\) 9.01184 + 25.8048i 0.591656 + 1.69417i
\(233\) 1.31204 17.5079i 0.0859545 1.14698i −0.772819 0.634627i \(-0.781154\pi\)
0.858773 0.512356i \(-0.171227\pi\)
\(234\) 2.84406 4.52425i 0.185922 0.295759i
\(235\) −2.78305 1.09227i −0.181546 0.0712517i
\(236\) −10.0827 + 20.9153i −0.656331 + 1.36147i
\(237\) −4.54575 3.62511i −0.295278 0.235477i
\(238\) 5.09339 + 5.58117i 0.330155 + 0.361774i
\(239\) −5.03450 + 4.01488i −0.325655 + 0.259701i −0.772646 0.634837i \(-0.781067\pi\)
0.446991 + 0.894538i \(0.352496\pi\)
\(240\) 1.98014 0.146773i 0.127818 0.00947419i
\(241\) −12.7739 + 0.957272i −0.822840 + 0.0616633i −0.479493 0.877546i \(-0.659179\pi\)
−0.343346 + 0.939209i \(0.611560\pi\)
\(242\) 7.08449 + 11.2800i 0.455409 + 0.725105i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) −18.7544 2.83456i −1.20063 0.181464i
\(245\) −3.47430 0.0560195i −0.221965 0.00357895i
\(246\) −3.82227 + 3.28798i −0.243699 + 0.209634i
\(247\) 2.51301 2.70838i 0.159899 0.172330i
\(248\) −23.2563 + 10.1298i −1.47678 + 0.643240i
\(249\) 0.803548 + 10.7226i 0.0509228 + 0.679517i
\(250\) −6.05296 3.20066i −0.382823 0.202427i
\(251\) −8.69846 10.9075i −0.549042 0.688477i 0.427448 0.904040i \(-0.359413\pi\)
−0.976490 + 0.215563i \(0.930841\pi\)
\(252\) 4.45644 + 2.85309i 0.280730 + 0.179728i
\(253\) 11.9695 15.0092i 0.752513 0.943622i
\(254\) 9.49961 4.14234i 0.596058 0.259914i
\(255\) 0.366225 0.933127i 0.0229339 0.0584347i
\(256\) 15.2815 + 4.74092i 0.955093 + 0.296307i
\(257\) 9.08110 + 0.680534i 0.566463 + 0.0424506i 0.354884 0.934910i \(-0.384520\pi\)
0.211579 + 0.977361i \(0.432139\pi\)
\(258\) −2.42713 4.59461i −0.151106 0.286048i
\(259\) 3.70634 13.3993i 0.230301 0.832589i
\(260\) 3.74109 0.278828i 0.232012 0.0172922i
\(261\) 9.55578 1.44030i 0.591488 0.0891525i
\(262\) −2.18628 19.4392i −0.135069 1.20096i
\(263\) −9.53794 + 5.50673i −0.588134 + 0.339560i −0.764359 0.644790i \(-0.776945\pi\)
0.176225 + 0.984350i \(0.443611\pi\)
\(264\) 12.7722 0.470110i 0.786076 0.0289333i
\(265\) −1.64041 3.40635i −0.100770 0.209250i
\(266\) 2.66116 + 2.51044i 0.163166 + 0.153925i
\(267\) 0.936860 1.94541i 0.0573349 0.119057i
\(268\) 23.3432 11.2298i 1.42591 0.685969i
\(269\) 13.3730 + 14.4127i 0.815366 + 0.878756i 0.994464 0.105075i \(-0.0335084\pi\)
−0.179098 + 0.983831i \(0.557318\pi\)
\(270\) 0.0787414 0.697576i 0.00479205 0.0424531i
\(271\) 0.587792 0.400750i 0.0357058 0.0243438i −0.545336 0.838218i \(-0.683598\pi\)
0.581041 + 0.813874i \(0.302645\pi\)
\(272\) 5.49899 5.91686i 0.333425 0.358762i
\(273\) 8.42202 + 5.38709i 0.509724 + 0.326041i
\(274\) −4.68754 2.04629i −0.283185 0.123621i
\(275\) −18.6024 10.7401i −1.12176 0.647651i
\(276\) −3.10105 7.91079i −0.186661 0.476173i
\(277\) −4.90883 3.34678i −0.294943 0.201089i 0.406803 0.913516i \(-0.366644\pi\)
−0.701746 + 0.712427i \(0.747596\pi\)
\(278\) −12.6567 10.8965i −0.759100 0.653527i
\(279\) 1.99567 + 8.74361i 0.119478 + 0.523466i
\(280\) 0.245469 + 3.70655i 0.0146696 + 0.221509i
\(281\) −1.73223 + 7.58938i −0.103336 + 0.452745i 0.896615 + 0.442812i \(0.146019\pi\)
−0.999951 + 0.00993292i \(0.996838\pi\)
\(282\) −6.85431 + 5.05656i −0.408168 + 0.301114i
\(283\) 18.8108 5.80236i 1.11819 0.344914i 0.320055 0.947399i \(-0.396299\pi\)
0.798130 + 0.602485i \(0.205823\pi\)
\(284\) 10.4247 18.0391i 0.618591 1.07043i
\(285\) 0.143060 0.463788i 0.00847412 0.0274724i
\(286\) 24.1310 0.898009i 1.42689 0.0531004i
\(287\) −6.09486 7.19892i −0.359768 0.424939i
\(288\) 2.64835 4.99863i 0.156055 0.294547i
\(289\) 4.72093 + 12.0287i 0.277702 + 0.707573i
\(290\) 4.79603 + 4.79798i 0.281633 + 0.281747i
\(291\) 0.653146 4.33334i 0.0382881 0.254025i
\(292\) 4.96951 + 6.23676i 0.290819 + 0.364979i
\(293\) 16.7907i 0.980924i −0.871462 0.490462i \(-0.836828\pi\)
0.871462 0.490462i \(-0.163172\pi\)
\(294\) −5.40298 + 8.29504i −0.315108 + 0.483777i
\(295\) 5.76282i 0.335525i
\(296\) −14.6015 2.77197i −0.848696 0.161118i
\(297\) 0.673480 4.46825i 0.0390793 0.259274i
\(298\) −16.0863 + 16.0797i −0.931853 + 0.931474i
\(299\) −5.86507 14.9440i −0.339186 0.864231i
\(300\) −8.23540 + 4.75025i −0.475471 + 0.274256i
\(301\) 8.63114 4.47305i 0.497490 0.257822i
\(302\) −0.971411 26.1034i −0.0558984 1.50208i
\(303\) 2.82492 9.15815i 0.162287 0.526122i
\(304\) 2.44096 3.05577i 0.139999 0.175261i
\(305\) −4.49849 + 1.38760i −0.257583 + 0.0794538i
\(306\) −1.69541 2.29817i −0.0969200 0.131378i
\(307\) 4.05420 17.7626i 0.231385 1.01377i −0.717106 0.696964i \(-0.754534\pi\)
0.948492 0.316802i \(-0.102609\pi\)
\(308\) 0.691701 + 23.9008i 0.0394133 + 1.36187i
\(309\) −3.58945 15.7264i −0.204196 0.894643i
\(310\) −4.10772 + 4.77129i −0.233303 + 0.270991i
\(311\) 9.75771 + 6.65269i 0.553309 + 0.377240i 0.807458 0.589925i \(-0.200843\pi\)
−0.254149 + 0.967165i \(0.581795\pi\)
\(312\) 4.99985 9.44624i 0.283061 0.534788i
\(313\) 22.2985 + 12.8740i 1.26038 + 0.727683i 0.973149 0.230177i \(-0.0739305\pi\)
0.287235 + 0.957860i \(0.407264\pi\)
\(314\) −3.46845 + 7.94536i −0.195736 + 0.448383i
\(315\) 1.30385 + 0.157562i 0.0734635 + 0.00887763i
\(316\) −9.60523 6.55445i −0.540336 0.368717i
\(317\) 11.1324 7.58995i 0.625259 0.426294i −0.208809 0.977957i \(-0.566959\pi\)
0.834068 + 0.551662i \(0.186006\pi\)
\(318\) −10.7033 1.20818i −0.600213 0.0677512i
\(319\) 29.7015 + 32.0106i 1.66297 + 1.79225i
\(320\) 3.92751 0.587083i 0.219555 0.0328189i
\(321\) −0.384058 + 0.797504i −0.0214360 + 0.0445123i
\(322\) 14.8449 5.68505i 0.827272 0.316816i
\(323\) −0.856696 1.77895i −0.0476678 0.0989833i
\(324\) −1.56316 1.24761i −0.0868420 0.0693119i
\(325\) −15.5560 + 8.98125i −0.862891 + 0.498190i
\(326\) 10.8534 1.22066i 0.601116 0.0676058i
\(327\) 20.4769 3.08639i 1.13237 0.170678i
\(328\) −7.13463 + 7.12594i −0.393944 + 0.393464i
\(329\) −9.35890 12.8972i −0.515973 0.711044i
\(330\) 2.80486 1.48169i 0.154403 0.0815641i
\(331\) 6.22029 + 0.466146i 0.341898 + 0.0256217i 0.244573 0.969631i \(-0.421352\pi\)
0.0973252 + 0.995253i \(0.468971\pi\)
\(332\) 3.19657 + 21.2664i 0.175434 + 1.16715i
\(333\) −1.91973 + 4.89138i −0.105200 + 0.268046i
\(334\) −10.8474 24.8763i −0.593543 1.36117i
\(335\) 4.00858 5.02660i 0.219012 0.274632i
\(336\) 9.31235 + 5.02794i 0.508030 + 0.274297i
\(337\) −13.4852 16.9099i −0.734585 0.921141i 0.264479 0.964391i \(-0.414800\pi\)
−0.999064 + 0.0432506i \(0.986229\pi\)
\(338\) 0.845338 1.59867i 0.0459803 0.0869563i
\(339\) 0.140537 + 1.87534i 0.00763294 + 0.101855i
\(340\) 0.591715 1.91553i 0.0320903 0.103884i
\(341\) −27.5647 + 29.7076i −1.49271 + 1.60876i
\(342\) −0.901739 1.04827i −0.0487605 0.0566840i
\(343\) −15.4387 10.2297i −0.833611 0.552352i
\(344\) −5.52381 8.80300i −0.297824 0.474626i
\(345\) −1.54593 1.43442i −0.0832302 0.0772263i
\(346\) 1.73556 1.09004i 0.0933045 0.0586007i
\(347\) 18.0719 1.35430i 0.970148 0.0727025i 0.419781 0.907625i \(-0.362107\pi\)
0.550367 + 0.834923i \(0.314488\pi\)
\(348\) 18.8446 4.29311i 1.01018 0.230135i
\(349\) 13.7251 10.9454i 0.734687 0.585893i −0.183040 0.983105i \(-0.558594\pi\)
0.917727 + 0.397212i \(0.130022\pi\)
\(350\) −8.76556 15.4764i −0.468539 0.827247i
\(351\) −2.95432 2.35599i −0.157690 0.125754i
\(352\) 25.4039 2.83621i 1.35403 0.151170i
\(353\) −19.0337 7.47016i −1.01306 0.397596i −0.200012 0.979794i \(-0.564098\pi\)
−0.813048 + 0.582197i \(0.802193\pi\)
\(354\) 13.8999 + 8.73781i 0.738770 + 0.464409i
\(355\) 0.386437 5.15664i 0.0205099 0.273686i
\(356\) 1.57935 4.01932i 0.0837055 0.213024i
\(357\) 4.32428 3.13793i 0.228865 0.166077i
\(358\) −3.10126 2.28981i −0.163907 0.121020i
\(359\) 4.41792 + 29.3110i 0.233169 + 1.54697i 0.732624 + 0.680634i \(0.238295\pi\)
−0.499455 + 0.866340i \(0.666466\pi\)
\(360\) 0.0533526 1.40300i 0.00281193 0.0739445i
\(361\) 9.02200 + 15.6266i 0.474842 + 0.822451i
\(362\) 5.78439 + 30.6053i 0.304021 + 1.60858i
\(363\) 8.48606 4.08667i 0.445403 0.214495i
\(364\) 17.5982 + 9.49244i 0.922399 + 0.497539i
\(365\) 1.78325 + 0.858766i 0.0933393 + 0.0449499i
\(366\) −3.47390 + 12.9542i −0.181584 + 0.677129i
\(367\) 9.19190 8.52884i 0.479813 0.445202i −0.402809 0.915284i \(-0.631966\pi\)
0.882623 + 0.470082i \(0.155776\pi\)
\(368\) −7.36088 15.3168i −0.383712 0.798446i
\(369\) 2.00832 + 2.94566i 0.104549 + 0.153345i
\(370\) −3.56328 + 0.954001i −0.185246 + 0.0495962i
\(371\) 2.41757 20.0057i 0.125514 1.03864i
\(372\) 5.28004 + 17.1422i 0.273757 + 0.888781i
\(373\) −1.40348 + 2.43089i −0.0726693 + 0.125867i −0.900070 0.435745i \(-0.856485\pi\)
0.827401 + 0.561612i \(0.189818\pi\)
\(374\) 4.26469 12.1798i 0.220522 0.629805i
\(375\) −2.72738 + 4.00033i −0.140841 + 0.206576i
\(376\) −12.9190 + 11.1040i −0.666249 + 0.572647i
\(377\) 35.6010 8.12569i 1.83354 0.418494i
\(378\) 2.35698 2.90597i 0.121230 0.149467i
\(379\) 2.07607 + 0.473850i 0.106641 + 0.0243401i 0.275508 0.961299i \(-0.411154\pi\)
−0.168867 + 0.985639i \(0.554011\pi\)
\(380\) 0.216386 0.946276i 0.0111004 0.0485429i
\(381\) −2.15999 7.00251i −0.110660 0.358750i
\(382\) −3.44977 9.86530i −0.176505 0.504752i
\(383\) 4.53132 + 1.39773i 0.231540 + 0.0714205i 0.408354 0.912824i \(-0.366103\pi\)
−0.176814 + 0.984244i \(0.556579\pi\)
\(384\) 4.53900 10.3633i 0.231630 0.528849i
\(385\) 2.73066 + 5.26904i 0.139167 + 0.268535i
\(386\) 2.79538 14.7576i 0.142281 0.751140i
\(387\) −3.42033 + 1.34238i −0.173865 + 0.0682371i
\(388\) 0.658528 8.73980i 0.0334317 0.443696i
\(389\) 31.0867 + 4.68557i 1.57616 + 0.237568i 0.878102 0.478473i \(-0.158810\pi\)
0.698058 + 0.716041i \(0.254048\pi\)
\(390\) 0.0997255 2.65081i 0.00504980 0.134229i
\(391\) −8.57933 −0.433876
\(392\) −9.54302 + 17.3474i −0.481995 + 0.876174i
\(393\) −13.8323 −0.697746
\(394\) −0.625156 + 16.6173i −0.0314949 + 0.837168i
\(395\) −2.85391 0.430158i −0.143596 0.0216436i
\(396\) 0.679029 9.01189i 0.0341225 0.452865i
\(397\) −9.02195 + 3.54085i −0.452799 + 0.177710i −0.580770 0.814067i \(-0.697249\pi\)
0.127972 + 0.991778i \(0.459153\pi\)
\(398\) −3.45432 + 18.2362i −0.173149 + 0.914100i
\(399\) 1.97433 1.67154i 0.0988402 0.0836815i
\(400\) −15.7191 + 10.6984i −0.785956 + 0.534921i
\(401\) −30.3262 9.35439i −1.51442 0.467136i −0.577413 0.816452i \(-0.695938\pi\)
−0.937005 + 0.349317i \(0.886414\pi\)
\(402\) −6.04615 17.2902i −0.301555 0.862355i
\(403\) 9.98906 + 32.3837i 0.497591 + 1.61315i
\(404\) 4.27284 18.6856i 0.212582 0.929642i
\(405\) −0.483948 0.110458i −0.0240476 0.00548870i
\(406\) 7.75438 + 35.3171i 0.384843 + 1.75276i
\(407\) −23.1488 + 5.28357i −1.14744 + 0.261897i
\(408\) −3.72306 4.33161i −0.184319 0.214447i
\(409\) −18.3177 + 26.8671i −0.905750 + 1.32849i 0.0384991 + 0.999259i \(0.487742\pi\)
−0.944249 + 0.329232i \(0.893210\pi\)
\(410\) −0.827087 + 2.36214i −0.0408469 + 0.116658i
\(411\) −1.80833 + 3.13211i −0.0891981 + 0.154496i
\(412\) −9.49677 30.8322i −0.467872 1.51899i
\(413\) −16.5508 + 25.8750i −0.814411 + 1.27323i
\(414\) −5.80380 + 1.55386i −0.285241 + 0.0763680i
\(415\) 3.00675 + 4.41009i 0.147596 + 0.216483i
\(416\) 8.56786 19.5835i 0.420074 0.960158i
\(417\) −8.65694 + 8.03246i −0.423932 + 0.393351i
\(418\) 1.61840 6.03504i 0.0791584 0.295183i
\(419\) 21.5696 + 10.3874i 1.05375 + 0.507457i 0.878834 0.477127i \(-0.158322\pi\)
0.174911 + 0.984584i \(0.444036\pi\)
\(420\) 2.62390 + 0.120436i 0.128033 + 0.00587668i
\(421\) 9.80028 4.71957i 0.477637 0.230018i −0.179545 0.983750i \(-0.557463\pi\)
0.657182 + 0.753732i \(0.271748\pi\)
\(422\) −2.57783 13.6393i −0.125487 0.663953i
\(423\) 3.01144 + 5.21597i 0.146421 + 0.253609i
\(424\) −21.5270 0.818620i −1.04545 0.0397557i
\(425\) 1.43072 + 9.49222i 0.0694002 + 0.460440i
\(426\) −11.8518 8.75078i −0.574224 0.423977i
\(427\) −24.1834 6.68931i −1.17031 0.323719i
\(428\) −0.647442 + 1.64769i −0.0312953 + 0.0796439i
\(429\) 1.27601 17.0272i 0.0616066 0.822083i
\(430\) −2.18376 1.37277i −0.105310 0.0662007i
\(431\) −24.9392 9.78790i −1.20128 0.471467i −0.321526 0.946901i \(-0.604196\pi\)
−0.879751 + 0.475434i \(0.842291\pi\)
\(432\) −3.30312 2.25596i −0.158922 0.108540i
\(433\) 12.0406 + 9.60208i 0.578636 + 0.461447i 0.868547 0.495607i \(-0.165054\pi\)
−0.289911 + 0.957054i \(0.593626\pi\)
\(434\) −32.1467 + 9.62574i −1.54309 + 0.462050i
\(435\) 3.75045 2.99088i 0.179820 0.143402i
\(436\) 40.3816 9.19959i 1.93393 0.440580i
\(437\) −4.14232 + 0.310424i −0.198154 + 0.0148496i
\(438\) 4.77516 2.99908i 0.228166 0.143302i
\(439\) 8.93528 + 8.29073i 0.426458 + 0.395695i 0.863991 0.503507i \(-0.167957\pi\)
−0.437533 + 0.899202i \(0.644148\pi\)
\(440\) 5.37396 3.37212i 0.256193 0.160759i
\(441\) 5.40175 + 4.45209i 0.257226 + 0.212004i
\(442\) −7.03753 8.18112i −0.334741 0.389136i
\(443\) −24.5386 + 26.4464i −1.16587 + 1.25650i −0.205224 + 0.978715i \(0.565792\pi\)
−0.960642 + 0.277790i \(0.910398\pi\)
\(444\) −3.10173 + 10.0411i −0.147202 + 0.476529i
\(445\) −0.0800982 1.06884i −0.00379702 0.0506677i
\(446\) −15.1049 + 28.5658i −0.715238 + 1.35263i
\(447\) 10.0276 + 12.5742i 0.474289 + 0.594739i
\(448\) 19.3206 + 8.64378i 0.912812 + 0.408380i
\(449\) 19.5716 24.5420i 0.923641 1.15821i −0.0634393 0.997986i \(-0.520207\pi\)
0.987081 0.160224i \(-0.0512216\pi\)
\(450\) 2.68706 + 6.16222i 0.126669 + 0.290490i
\(451\) −5.88560 + 14.9963i −0.277142 + 0.706147i
\(452\) 0.559067 + 3.71942i 0.0262963 + 0.174947i
\(453\) −18.4190 1.38031i −0.865401 0.0648528i
\(454\) −18.5495 + 9.79886i −0.870570 + 0.459883i
\(455\) 4.95759 + 0.225534i 0.232416 + 0.0105732i
\(456\) −1.95432 1.95670i −0.0915192 0.0916308i
\(457\) −4.76319 + 0.717936i −0.222813 + 0.0335836i −0.259500 0.965743i \(-0.583558\pi\)
0.0366869 + 0.999327i \(0.488320\pi\)
\(458\) −20.8264 + 2.34229i −0.973155 + 0.109448i
\(459\) −1.74886 + 1.00970i −0.0816297 + 0.0471289i
\(460\) −3.29654 2.63109i −0.153702 0.122675i
\(461\) 13.8473 + 28.7542i 0.644933 + 1.33922i 0.925267 + 0.379316i \(0.123841\pi\)
−0.280334 + 0.959903i \(0.590445\pi\)
\(462\) 16.8492 + 1.40279i 0.783896 + 0.0652639i
\(463\) −7.98154 + 16.5738i −0.370934 + 0.770251i −0.999975 0.00712057i \(-0.997733\pi\)
0.629041 + 0.777372i \(0.283448\pi\)
\(464\) 36.9468 11.3637i 1.71521 0.527547i
\(465\) 3.02805 + 3.26346i 0.140423 + 0.151340i
\(466\) −24.6727 2.78502i −1.14294 0.129014i
\(467\) 16.4262 11.1992i 0.760116 0.518238i −0.120129 0.992758i \(-0.538331\pi\)
0.880245 + 0.474520i \(0.157378\pi\)
\(468\) −6.24252 4.25980i −0.288561 0.196909i
\(469\) 32.4348 11.0568i 1.49770 0.510555i
\(470\) −1.69157 + 3.87498i −0.0780264 + 0.178739i
\(471\) 5.30892 + 3.06510i 0.244622 + 0.141233i
\(472\) 29.0217 + 15.3611i 1.33583 + 0.707050i
\(473\) −13.7182 9.35294i −0.630766 0.430049i
\(474\) −5.36474 + 6.23138i −0.246411 + 0.286217i
\(475\) 1.03424 + 4.53131i 0.0474543 + 0.207911i
\(476\) 8.15819 6.90132i 0.373930 0.316321i
\(477\) −1.69482 + 7.42550i −0.0776005 + 0.339990i
\(478\) 5.40622 + 7.32828i 0.247275 + 0.335188i
\(479\) −11.9337 + 3.68106i −0.545265 + 0.168192i −0.555136 0.831759i \(-0.687334\pi\)
0.00987156 + 0.999951i \(0.496858\pi\)
\(480\) −0.102146 2.80617i −0.00466229 0.128083i
\(481\) −5.85258 + 18.9736i −0.266855 + 0.865122i
\(482\) 0.673690 + 18.1032i 0.0306858 + 0.824576i
\(483\) −2.82159 10.8804i −0.128387 0.495076i
\(484\) 16.3177 9.41219i 0.741714 0.427827i
\(485\) −0.794741 2.02497i −0.0360873 0.0919490i
\(486\) −1.00020 + 0.999797i −0.0453701 + 0.0453517i
\(487\) 2.19485 14.5619i 0.0994581 0.659862i −0.882436 0.470432i \(-0.844098\pi\)
0.981894 0.189430i \(-0.0606639\pi\)
\(488\) −5.00293 + 26.3532i −0.226472 + 1.19295i
\(489\) 7.72292i 0.349242i
\(490\) −0.263883 + 4.90695i −0.0119210 + 0.221674i
\(491\) 11.3901i 0.514030i −0.966407 0.257015i \(-0.917261\pi\)
0.966407 0.257015i \(-0.0827390\pi\)
\(492\) 4.44340 + 5.57649i 0.200324 + 0.251408i
\(493\) 2.90856 19.2970i 0.130995 0.869094i
\(494\) −3.69391 3.69541i −0.166197 0.166264i
\(495\) −0.819483 2.08801i −0.0368330 0.0938490i
\(496\) 13.0791 + 33.4047i 0.587267 + 1.49991i
\(497\) 16.5449 22.0434i 0.742142 0.988783i
\(498\) 15.1961 0.565505i 0.680951 0.0253409i
\(499\) 0.797159 2.58433i 0.0356858 0.115690i −0.935978 0.352060i \(-0.885481\pi\)
0.971663 + 0.236369i \(0.0759576\pi\)
\(500\) −4.84502 + 8.38396i −0.216676 + 0.374942i
\(501\) −18.3372 + 5.65628i −0.819246 + 0.252704i
\(502\) −15.8771 + 11.7129i −0.708631 + 0.522771i
\(503\) 5.32723 23.3401i 0.237529 1.04068i −0.705692 0.708519i \(-0.749364\pi\)
0.943221 0.332165i \(-0.107779\pi\)
\(504\) 4.26895 6.14622i 0.190154 0.273774i
\(505\) −1.05862 4.63813i −0.0471081 0.206394i
\(506\) −20.5749 17.7134i −0.914665 0.787456i
\(507\) −1.05654 0.720340i −0.0469228 0.0319914i
\(508\) −5.34895 13.6452i −0.237321 0.605408i
\(509\) 2.33733 + 1.34946i 0.103600 + 0.0598137i 0.550905 0.834568i \(-0.314283\pi\)
−0.447305 + 0.894382i \(0.647616\pi\)
\(510\) −1.29924 0.567165i −0.0575312 0.0251145i
\(511\) 5.54039 + 8.97732i 0.245092 + 0.397133i
\(512\) 7.51239 21.3439i 0.332004 0.943278i
\(513\) −0.807858 + 0.550788i −0.0356678 + 0.0243179i
\(514\) 1.44455 12.7974i 0.0637163 0.564467i
\(515\) −5.44630 5.86972i −0.239993 0.258651i
\(516\) −6.62220 + 3.18577i −0.291526 + 0.140246i
\(517\) −11.8085 + 24.5205i −0.519336 + 1.07841i
\(518\) −18.7390 5.95024i −0.823343 0.261439i
\(519\) −0.628784 1.30568i −0.0276006 0.0573132i
\(520\) −0.195144 5.30178i −0.00855762 0.232499i
\(521\) −16.0476 + 9.26507i −0.703057 + 0.405910i −0.808485 0.588517i \(-0.799712\pi\)
0.105428 + 0.994427i \(0.466379\pi\)
\(522\) −1.52741 13.5809i −0.0668530 0.594422i
\(523\) −17.0967 + 2.57692i −0.747588 + 0.112681i −0.511777 0.859118i \(-0.671013\pi\)
−0.235811 + 0.971799i \(0.575775\pi\)
\(524\) −27.5880 + 2.05617i −1.20519 + 0.0898242i
\(525\) −11.5676 + 4.93628i −0.504852 + 0.215437i
\(526\) 7.27509 + 13.7719i 0.317209 + 0.600484i
\(527\) 18.0603 + 1.35344i 0.786721 + 0.0589566i
\(528\) 0.0146842 18.0749i 0.000639047 0.786608i
\(529\) 1.80871 4.60851i 0.0786394 0.200370i
\(530\) −4.90111 + 2.13715i −0.212891 + 0.0928318i
\(531\) 7.23834 9.07659i 0.314117 0.393890i
\(532\) 3.68927 3.62731i 0.159950 0.157264i
\(533\) 8.39946 + 10.5326i 0.363821 + 0.456217i
\(534\) −2.69947 1.42741i −0.116817 0.0617702i
\(535\) 0.0328356 + 0.438160i 0.00141961 + 0.0189433i
\(536\) −14.6290 33.5859i −0.631878 1.45069i
\(537\) −1.85408 + 1.99823i −0.0800096 + 0.0862299i
\(538\) 21.0792 18.1326i 0.908788 0.781754i
\(539\) −2.87201 + 31.5004i −0.123706 + 1.35682i
\(540\) −0.981638 0.148366i −0.0422430 0.00638465i
\(541\) 16.0217 + 14.8660i 0.688827 + 0.639138i 0.944839 0.327535i \(-0.106218\pi\)
−0.256012 + 0.966674i \(0.582409\pi\)
\(542\) −0.535094 0.851982i −0.0229843 0.0365958i
\(543\) 21.9627 1.64588i 0.942511 0.0706314i
\(544\) −8.06942 8.08583i −0.345974 0.346677i
\(545\) 8.03675 6.40909i 0.344256 0.274535i
\(546\) 8.06087 11.6157i 0.344974 0.497106i
\(547\) −27.6580 22.0565i −1.18257 0.943069i −0.183371 0.983044i \(-0.558701\pi\)
−0.999201 + 0.0399745i \(0.987272\pi\)
\(548\) −3.14106 + 6.51570i −0.134179 + 0.278337i
\(549\) 8.82811 + 3.46478i 0.376775 + 0.147873i
\(550\) −16.1670 + 25.7181i −0.689365 + 1.09662i
\(551\) 0.706105 9.42232i 0.0300811 0.401404i
\(552\) −11.3445 + 3.96186i −0.482854 + 0.168628i
\(553\) −11.5786 10.1278i −0.492373 0.430678i
\(554\) −4.99071 + 6.75929i −0.212035 + 0.287175i
\(555\) 0.388755 + 2.57922i 0.0165017 + 0.109482i
\(556\) −16.0720 + 17.3073i −0.681603 + 0.733995i
\(557\) −12.7866 22.1471i −0.541787 0.938402i −0.998802 0.0489432i \(-0.984415\pi\)
0.457015 0.889459i \(-0.348919\pi\)
\(558\) 12.4627 2.35545i 0.527588 0.0997140i
\(559\) −12.5093 + 6.02415i −0.529086 + 0.254794i
\(560\) 5.25120 0.149837i 0.221904 0.00633179i
\(561\) −8.22146 3.95925i −0.347110 0.167160i
\(562\) 10.6333 + 2.85150i 0.448540 + 0.120283i
\(563\) −19.8941 + 18.4590i −0.838437 + 0.777956i −0.977189 0.212371i \(-0.931881\pi\)
0.138752 + 0.990327i \(0.455691\pi\)
\(564\) 6.78158 + 9.95544i 0.285556 + 0.419200i
\(565\) 0.525869 + 0.771308i 0.0221235 + 0.0324492i
\(566\) −7.19988 26.8922i −0.302633 1.13036i
\(567\) −1.85569 1.88585i −0.0779315 0.0791982i
\(568\) −24.9389 15.6914i −1.04641 0.658395i
\(569\) 2.15322 3.72949i 0.0902678 0.156348i −0.817356 0.576133i \(-0.804561\pi\)
0.907624 + 0.419785i \(0.137894\pi\)
\(570\) −0.647825 0.226832i −0.0271344 0.00950093i
\(571\) 13.0849 19.1920i 0.547584 0.803158i −0.448291 0.893887i \(-0.647967\pi\)
0.995876 + 0.0907290i \(0.0289197\pi\)
\(572\) 0.0138719 34.1500i 0.000580012 1.42788i
\(573\) −7.20474 + 1.64444i −0.300982 + 0.0686973i
\(574\) −10.4977 + 8.23060i −0.438164 + 0.343538i
\(575\) 19.6890 + 4.49389i 0.821089 + 0.187408i
\(576\) −6.92332 4.00844i −0.288472 0.167018i
\(577\) 0.476102 + 1.54349i 0.0198204 + 0.0642561i 0.964943 0.262460i \(-0.0845339\pi\)
−0.945122 + 0.326717i \(0.894058\pi\)
\(578\) 17.2502 6.03217i 0.717513 0.250905i
\(579\) −10.1489 3.13051i −0.421773 0.130100i
\(580\) 7.03556 6.52273i 0.292136 0.270842i
\(581\) 0.834532 + 28.4366i 0.0346222 + 1.17975i
\(582\) −6.08921 1.15342i −0.252406 0.0478109i
\(583\) −32.0375 + 12.5738i −1.32686 + 0.520754i
\(584\) 9.07809 6.69139i 0.375654 0.276892i
\(585\) −1.85478 0.279563i −0.0766858 0.0115585i
\(586\) −23.7289 0.892698i −0.980231 0.0368770i
\(587\) −28.7136 −1.18514 −0.592569 0.805520i \(-0.701886\pi\)
−0.592569 + 0.805520i \(0.701886\pi\)
\(588\) 11.4354 + 8.07659i 0.471589 + 0.333073i
\(589\) 8.76895 0.361318
\(590\) 8.14410 + 0.306387i 0.335287 + 0.0126138i
\(591\) 11.6272 + 1.75252i 0.478279 + 0.0720889i
\(592\) −4.69369 + 20.4877i −0.192910 + 0.842039i
\(593\) −20.7233 + 8.13331i −0.851005 + 0.333995i −0.750442 0.660936i \(-0.770160\pi\)
−0.100563 + 0.994931i \(0.532064\pi\)
\(594\) −6.27878 1.18933i −0.257622 0.0487988i
\(595\) 1.08014 2.42224i 0.0442813 0.0993020i
\(596\) 21.8689 + 23.5882i 0.895784 + 0.966212i
\(597\) 12.5412 + 3.86845i 0.513277 + 0.158325i
\(598\) −21.4308 + 7.49408i −0.876372 + 0.306456i
\(599\) 8.20033 + 26.5848i 0.335056 + 1.08623i 0.953752 + 0.300595i \(0.0971854\pi\)
−0.618695 + 0.785631i \(0.712338\pi\)
\(600\) 6.27527 + 11.8909i 0.256187 + 0.485445i
\(601\) −13.4503 3.06995i −0.548651 0.125226i −0.0607953 0.998150i \(-0.519364\pi\)
−0.487856 + 0.872924i \(0.662221\pi\)
\(602\) −5.86249 12.4355i −0.238937 0.506831i
\(603\) −12.6272 + 2.88208i −0.514220 + 0.117367i
\(604\) −36.9413 0.0150057i −1.50312 0.000610575i
\(605\) 2.63377 3.86303i 0.107078 0.157054i
\(606\) −12.7922 4.47911i −0.519649 0.181952i
\(607\) −4.63281 + 8.02427i −0.188040 + 0.325695i −0.944597 0.328233i \(-0.893547\pi\)
0.756557 + 0.653928i \(0.226880\pi\)
\(608\) −4.18868 3.61206i −0.169874 0.146489i
\(609\) 25.4293 2.65778i 1.03045 0.107699i
\(610\) 1.72181 + 6.43110i 0.0697140 + 0.260388i
\(611\) 12.8205 + 18.8042i 0.518662 + 0.760737i
\(612\) −3.33795 + 2.27379i −0.134929 + 0.0919125i
\(613\) 30.5892 28.3827i 1.23549 1.14636i 0.251551 0.967844i \(-0.419059\pi\)
0.983936 0.178521i \(-0.0571311\pi\)
\(614\) −24.8868 6.67382i −1.00435 0.269334i
\(615\) 1.59446 + 0.767850i 0.0642947 + 0.0309627i
\(616\) 33.8137 + 0.293192i 1.36239 + 0.0118130i
\(617\) −35.3061 + 17.0025i −1.42137 + 0.684496i −0.977371 0.211532i \(-0.932155\pi\)
−0.443999 + 0.896028i \(0.646440\pi\)
\(618\) −22.4156 + 4.23654i −0.901687 + 0.170419i
\(619\) −13.4735 23.3367i −0.541544 0.937982i −0.998816 0.0486549i \(-0.984507\pi\)
0.457271 0.889327i \(-0.348827\pi\)
\(620\) 6.52447 + 6.05876i 0.262029 + 0.243325i
\(621\) 0.633197 + 4.20099i 0.0254093 + 0.168580i
\(622\) 9.92046 13.4360i 0.397774 0.538736i
\(623\) 2.71005 5.02911i 0.108576 0.201487i
\(624\) −13.0837 7.56808i −0.523768 0.302965i
\(625\) 1.59658 21.3049i 0.0638632 0.852195i
\(626\) 19.3793 30.8280i 0.774552 1.23214i
\(627\) −4.11278 1.61415i −0.164249 0.0644628i
\(628\) 11.0441 + 5.32408i 0.440707 + 0.212454i
\(629\) 8.29618 + 6.61598i 0.330790 + 0.263796i
\(630\) 0.291990 1.83424i 0.0116332 0.0730778i
\(631\) −15.0517 + 12.0033i −0.599199 + 0.477845i −0.875495 0.483227i \(-0.839464\pi\)
0.276296 + 0.961073i \(0.410893\pi\)
\(632\) −9.77351 + 13.2258i −0.388769 + 0.526093i
\(633\) −9.78777 + 0.733492i −0.389029 + 0.0291537i
\(634\) −10.1344 16.1360i −0.402487 0.640843i
\(635\) −2.66656 2.47420i −0.105819 0.0981858i
\(636\) −2.27647 + 15.0619i −0.0902678 + 0.597241i
\(637\) 21.6118 + 15.2508i 0.856292 + 0.604259i
\(638\) 46.8170 40.2727i 1.85350 1.59441i
\(639\) −7.08560 + 7.63646i −0.280302 + 0.302094i
\(640\) −0.620863 5.58163i −0.0245418 0.220633i
\(641\) −0.778351 10.3864i −0.0307430 0.410237i −0.991252 0.131986i \(-0.957864\pi\)
0.960509 0.278251i \(-0.0897546\pi\)
\(642\) 1.10662 + 0.585156i 0.0436750 + 0.0230943i
\(643\) −8.03147 10.0711i −0.316730 0.397167i 0.597826 0.801626i \(-0.296031\pi\)
−0.914556 + 0.404459i \(0.867460\pi\)
\(644\) −7.24495 21.2812i −0.285491 0.838597i
\(645\) −1.13719 + 1.42599i −0.0447768 + 0.0561483i
\(646\) −2.55958 + 1.11611i −0.100705 + 0.0439130i
\(647\) −11.2289 + 28.6107i −0.441452 + 1.12480i 0.521050 + 0.853526i \(0.325541\pi\)
−0.962502 + 0.271275i \(0.912555\pi\)
\(648\) −1.84625 + 2.14274i −0.0725277 + 0.0841749i
\(649\) 52.3129 + 3.92031i 2.05346 + 0.153886i
\(650\) 11.8654 + 22.4614i 0.465399 + 0.881010i
\(651\) 4.22329 + 23.3495i 0.165524 + 0.915138i
\(652\) −1.14801 15.4031i −0.0449596 0.603232i
\(653\) 5.66385 0.853687i 0.221643 0.0334074i −0.0372816 0.999305i \(-0.511870\pi\)
0.258925 + 0.965897i \(0.416632\pi\)
\(654\) −3.27305 29.1023i −0.127986 1.13799i
\(655\) −5.94635 + 3.43313i −0.232343 + 0.134143i
\(656\) 9.69116 + 10.4616i 0.378376 + 0.408458i
\(657\) −1.73001 3.59240i −0.0674942 0.140153i
\(658\) −18.7240 + 12.5404i −0.729939 + 0.488877i
\(659\) 9.39838 19.5159i 0.366109 0.760233i −0.633803 0.773495i \(-0.718507\pi\)
0.999912 + 0.0132612i \(0.00422129\pi\)
\(660\) −1.94481 4.04265i −0.0757018 0.157360i
\(661\) −16.9553 18.2735i −0.659487 0.710757i 0.311405 0.950277i \(-0.399200\pi\)
−0.970891 + 0.239520i \(0.923010\pi\)
\(662\) 0.989473 8.76581i 0.0384570 0.340693i
\(663\) −6.30484 + 4.29857i −0.244860 + 0.166943i
\(664\) 30.2240 3.38678i 1.17292 0.131432i
\(665\) 0.433874 1.20860i 0.0168249 0.0468674i
\(666\) 6.81051 + 2.97304i 0.263902 + 0.115203i
\(667\) −35.5553 20.5279i −1.37671 0.794843i
\(668\) −35.7322 + 14.0071i −1.38252 + 0.541951i
\(669\) 18.8788 + 12.8714i 0.729898 + 0.497636i
\(670\) −6.89054 5.93222i −0.266205 0.229182i
\(671\) 9.53594 + 41.7797i 0.368131 + 1.61289i
\(672\) 7.60065 12.8930i 0.293202 0.497359i
\(673\) −1.25926 + 5.51718i −0.0485410 + 0.212672i −0.993382 0.114857i \(-0.963359\pi\)
0.944841 + 0.327529i \(0.106216\pi\)
\(674\) −24.6143 + 18.1584i −0.948106 + 0.699437i
\(675\) 4.54240 1.40115i 0.174837 0.0539301i
\(676\) −2.21432 1.27964i −0.0851662 0.0492169i
\(677\) −3.45880 + 11.2132i −0.132932 + 0.430956i −0.997427 0.0716853i \(-0.977162\pi\)
0.864495 + 0.502642i \(0.167638\pi\)
\(678\) 2.65773 0.0989047i 0.102070 0.00379841i
\(679\) 2.24731 11.3746i 0.0862438 0.436516i
\(680\) −2.67560 0.938062i −0.102604 0.0359730i
\(681\) 5.41950 + 13.8087i 0.207676 + 0.529149i
\(682\) 40.5177 + 40.5342i 1.55150 + 1.55214i
\(683\) 0.0317670 0.210760i 0.00121553 0.00806451i −0.988215 0.153073i \(-0.951083\pi\)
0.989430 + 0.145009i \(0.0463210\pi\)
\(684\) −1.52937 + 1.21862i −0.0584770 + 0.0465950i
\(685\) 1.79528i 0.0685942i
\(686\) −15.2776 + 21.2743i −0.583300 + 0.812257i
\(687\) 14.8193i 0.565393i
\(688\) −12.7342 + 7.33831i −0.485487 + 0.279770i
\(689\) −4.28951 + 28.4590i −0.163417 + 1.08420i
\(690\) −2.10933 + 2.10847i −0.0803007 + 0.0802681i
\(691\) −6.24458 15.9109i −0.237555 0.605281i 0.761526 0.648134i \(-0.224450\pi\)
−0.999081 + 0.0428534i \(0.986355\pi\)
\(692\) −1.44818 2.51068i −0.0550516 0.0954416i
\(693\) 2.31727 11.7287i 0.0880259 0.445536i
\(694\) −0.953102 25.6114i −0.0361793 0.972195i
\(695\) −1.72789 + 5.60169i −0.0655427 + 0.212484i
\(696\) −5.06518 26.8597i −0.191995 1.01811i
\(697\) 6.87962 2.12208i 0.260584 0.0803796i
\(698\) −14.7385 19.9784i −0.557859 0.756193i
\(699\) −3.90681 + 17.1168i −0.147769 + 0.647418i
\(700\) −22.3375 + 11.5648i −0.844276 + 0.437108i
\(701\) 6.60166 + 28.9238i 0.249341 + 1.09244i 0.932217 + 0.361901i \(0.117872\pi\)
−0.682875 + 0.730535i \(0.739271\pi\)
\(702\) −3.48659 + 4.04983i −0.131593 + 0.152851i
\(703\) 4.24498 + 2.89418i 0.160103 + 0.109156i
\(704\) −2.65754 36.0519i −0.100160 1.35876i
\(705\) 2.58917 + 1.49486i 0.0975139 + 0.0562997i
\(706\) −11.5689 + 26.5015i −0.435401 + 0.997396i
\(707\) 8.56746 23.8655i 0.322212 0.897554i
\(708\) 13.0874 19.1789i 0.491854 0.720789i
\(709\) −12.1750 + 8.30077i −0.457241 + 0.311742i −0.769947 0.638108i \(-0.779717\pi\)
0.312705 + 0.949850i \(0.398765\pi\)
\(710\) −7.26689 0.820277i −0.272722 0.0307844i
\(711\) 3.95468 + 4.26213i 0.148312 + 0.159843i
\(712\) −5.59619 2.44565i −0.209726 0.0916547i
\(713\) 16.5318 34.3287i 0.619123 1.28562i
\(714\) −4.20467 6.27796i −0.157356 0.234947i
\(715\) −3.67756 7.63653i −0.137533 0.285590i
\(716\) −3.40087 + 4.26101i −0.127097 + 0.159241i
\(717\) 5.57666 3.21968i 0.208264 0.120241i
\(718\) 41.6575 4.68511i 1.55465 0.174847i
\(719\) −6.88928 + 1.03839i −0.256927 + 0.0387255i −0.276243 0.961088i \(-0.589089\pi\)
0.0193158 + 0.999813i \(0.493851\pi\)
\(720\) −1.97990 0.149991i −0.0737865 0.00558982i
\(721\) −7.59607 41.9967i −0.282892 1.56404i
\(722\) 22.5633 11.9192i 0.839720 0.443587i
\(723\) 12.7739 + 0.957272i 0.475067 + 0.0356013i
\(724\) 43.5593 6.54741i 1.61887 0.243333i
\(725\) −16.7828 + 42.7619i −0.623298 + 1.58814i
\(726\) −5.32417 12.2099i −0.197598 0.453152i
\(727\) 10.1365 12.7107i 0.375941 0.471415i −0.557484 0.830188i \(-0.688233\pi\)
0.933425 + 0.358773i \(0.116805\pi\)
\(728\) 14.3505 24.3654i 0.531864 0.903042i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 1.30843 2.47445i 0.0484271 0.0915835i
\(731\) 0.554494 + 7.39921i 0.0205087 + 0.273670i
\(732\) 18.1224 + 5.59809i 0.669824 + 0.206911i
\(733\) 9.53388 10.2751i 0.352142 0.379519i −0.531994 0.846748i \(-0.678557\pi\)
0.884136 + 0.467229i \(0.154748\pi\)
\(734\) −11.5644 13.4436i −0.426849 0.496211i
\(735\) 3.42715 + 0.573212i 0.126412 + 0.0211432i
\(736\) −22.0373 + 9.58816i −0.812307 + 0.353424i
\(737\) −42.9028 39.8079i −1.58034 1.46634i
\(738\) 4.26962 2.68157i 0.157167 0.0987100i
\(739\) 7.70309 0.577267i 0.283363 0.0212351i 0.0677093 0.997705i \(-0.478431\pi\)
0.215653 + 0.976470i \(0.430812\pi\)
\(740\) 1.15876 + 5.08639i 0.0425969 + 0.186979i
\(741\) −2.88860 + 2.30358i −0.106115 + 0.0846242i
\(742\) −28.1438 4.48017i −1.03319 0.164472i
\(743\) −18.7739 14.9717i −0.688749 0.549259i 0.215374 0.976532i \(-0.430903\pi\)
−0.904123 + 0.427273i \(0.859474\pi\)
\(744\) 24.5063 6.55044i 0.898445 0.240151i
\(745\) 7.43163 + 2.91670i 0.272274 + 0.106860i
\(746\) 3.36076 + 2.11266i 0.123046 + 0.0773498i
\(747\) 0.803548 10.7226i 0.0294003 0.392320i
\(748\) −16.9860 6.67447i −0.621069 0.244043i
\(749\) −1.11096 + 2.06164i −0.0405936 + 0.0753306i
\(750\) 5.50832 + 4.06706i 0.201135 + 0.148508i
\(751\) 1.09108 + 7.23884i 0.0398141 + 0.264149i 0.999878 0.0156323i \(-0.00497611\pi\)
−0.960064 + 0.279781i \(0.909738\pi\)
\(752\) 15.0055 + 18.8477i 0.547195 + 0.687306i
\(753\) 6.97563 + 12.0821i 0.254206 + 0.440298i
\(754\) −9.59057 50.7438i −0.349268 1.84798i
\(755\) −8.26073 + 3.97816i −0.300639 + 0.144780i
\(756\) −3.98144 3.48542i −0.144804 0.126763i
\(757\) 19.4094 + 9.34707i 0.705446 + 0.339725i 0.751975 0.659192i \(-0.229102\pi\)
−0.0465285 + 0.998917i \(0.514816\pi\)
\(758\) 0.780029 2.90874i 0.0283319 0.105650i
\(759\) −14.0728 + 13.0576i −0.510809 + 0.473962i
\(760\) −1.32579 0.356109i −0.0480913 0.0129174i
\(761\) −7.26111 10.6501i −0.263215 0.386066i 0.671766 0.740763i \(-0.265536\pi\)
−0.934981 + 0.354698i \(0.884584\pi\)
\(762\) −10.0109 + 2.68023i −0.362656 + 0.0970945i
\(763\) 54.4918 5.69529i 1.97274 0.206183i
\(764\) −14.1252 + 4.35076i −0.511031 + 0.157405i
\(765\) −0.501210 + 0.868121i −0.0181213 + 0.0313870i
\(766\) 2.21620 6.32941i 0.0800746 0.228691i
\(767\) 24.7121 36.2460i 0.892302 1.30877i
\(768\) −14.4042 6.96555i −0.519767 0.251348i
\(769\) −5.67438 + 1.29514i −0.204623 + 0.0467040i −0.323604 0.946193i \(-0.604895\pi\)
0.118981 + 0.992897i \(0.462037\pi\)
\(770\) 7.59146 3.57887i 0.273577 0.128974i
\(771\) −8.87824 2.02640i −0.319742 0.0729790i
\(772\) −20.7070 4.73508i −0.745260 0.170419i