Properties

Label 31.2.g.a.9.1
Level 31
Weight 2
Character 31.9
Analytic conductor 0.248
Analytic rank 0
Dimension 16
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 31.g (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(0.247536246266\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(2\) over \(\Q(\zeta_{15})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 9.1
Root \(2.16544i\)
Character \(\chi\) = 31.9
Dual form 31.2.g.a.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.571745 + 1.75965i) q^{2} +(-0.488442 - 0.103822i) q^{3} +(-1.15144 - 0.836573i) q^{4} +(-0.603681 - 1.04561i) q^{5} +(0.461954 - 0.800128i) q^{6} +(3.41030 - 1.51837i) q^{7} +(-0.863288 + 0.627215i) q^{8} +(-2.51284 - 1.11879i) q^{9} +O(q^{10})\) \(q+(-0.571745 + 1.75965i) q^{2} +(-0.488442 - 0.103822i) q^{3} +(-1.15144 - 0.836573i) q^{4} +(-0.603681 - 1.04561i) q^{5} +(0.461954 - 0.800128i) q^{6} +(3.41030 - 1.51837i) q^{7} +(-0.863288 + 0.627215i) q^{8} +(-2.51284 - 1.11879i) q^{9} +(2.18505 - 0.464447i) q^{10} +(0.194058 - 1.84634i) q^{11} +(0.475560 + 0.528162i) q^{12} +(-3.46909 + 3.85281i) q^{13} +(0.721967 + 6.86906i) q^{14} +(0.186307 + 0.573393i) q^{15} +(-1.48972 - 4.58490i) q^{16} +(0.592413 + 5.63643i) q^{17} +(3.40538 - 3.78206i) q^{18} +(-0.962535 - 1.06900i) q^{19} +(-0.179621 + 1.70898i) q^{20} +(-1.82338 + 0.387571i) q^{21} +(3.13796 + 1.39711i) q^{22} +(2.86762 - 2.08345i) q^{23} +(0.486785 - 0.216731i) q^{24} +(1.77114 - 3.06770i) q^{25} +(-4.79617 - 8.30721i) q^{26} +(2.32318 + 1.68789i) q^{27} +(-5.19700 - 1.10466i) q^{28} +(0.424157 - 1.30542i) q^{29} -1.11549 q^{30} +(-1.81847 + 5.26243i) q^{31} +6.78540 q^{32} +(-0.286476 + 0.881683i) q^{33} +(-10.2569 - 2.18016i) q^{34} +(-3.64635 - 2.64923i) q^{35} +(1.95745 + 3.39040i) q^{36} +(-2.25141 + 3.89955i) q^{37} +(2.43140 - 1.08253i) q^{38} +(2.09445 - 1.52171i) q^{39} +(1.17697 + 0.524021i) q^{40} +(4.61599 - 0.981158i) q^{41} +(0.360518 - 3.43010i) q^{42} +(4.38897 + 4.87445i) q^{43} +(-1.76804 + 1.96361i) q^{44} +(0.347141 + 3.30283i) q^{45} +(2.02659 + 6.23721i) q^{46} +(-1.30682 - 4.02199i) q^{47} +(0.251633 + 2.39412i) q^{48} +(4.64083 - 5.15416i) q^{49} +(4.38545 + 4.87053i) q^{50} +(0.295824 - 2.81458i) q^{51} +(7.21762 - 1.53415i) q^{52} +(-11.8426 - 5.27265i) q^{53} +(-4.29836 + 3.12294i) q^{54} +(-2.04769 + 0.911691i) q^{55} +(-1.99173 + 3.44978i) q^{56} +(0.359157 + 0.622078i) q^{57} +(2.05458 + 1.49274i) q^{58} +(2.13389 + 0.453572i) q^{59} +(0.265164 - 0.816089i) q^{60} -2.68087 q^{61} +(-8.22033 - 6.20865i) q^{62} -10.2683 q^{63} +(-0.900071 + 2.77013i) q^{64} +(6.12274 + 1.30143i) q^{65} +(-1.38766 - 1.00820i) q^{66} +(-1.44150 - 2.49675i) q^{67} +(4.03315 - 6.98563i) q^{68} +(-1.61697 + 0.719924i) q^{69} +(6.74649 - 4.90161i) q^{70} +(8.22340 + 3.66129i) q^{71} +(2.87102 - 0.610255i) q^{72} +(0.439443 - 4.18102i) q^{73} +(-5.57462 - 6.19124i) q^{74} +(-1.18359 + 1.31451i) q^{75} +(0.214006 + 2.03613i) q^{76} +(-2.14162 - 6.59123i) q^{77} +(1.48018 + 4.55554i) q^{78} +(-1.17403 - 11.1702i) q^{79} +(-3.89468 + 4.32548i) q^{80} +(4.56212 + 5.06675i) q^{81} +(-0.912672 + 8.68350i) q^{82} +(10.2485 - 2.17838i) q^{83} +(2.42375 + 1.07912i) q^{84} +(5.53585 - 4.02203i) q^{85} +(-11.0867 + 4.93612i) q^{86} +(-0.342708 + 0.593587i) q^{87} +(0.990524 + 1.71564i) q^{88} +(2.18575 + 1.58804i) q^{89} +(-6.01030 - 1.27753i) q^{90} +(-5.98067 + 18.4066i) q^{91} -5.04486 q^{92} +(1.43457 - 2.38160i) q^{93} +7.82446 q^{94} +(-0.536692 + 1.65177i) q^{95} +(-3.31428 - 0.704471i) q^{96} +(6.70942 + 4.87468i) q^{97} +(6.41615 + 11.1131i) q^{98} +(-2.55330 + 4.42244i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 6q^{2} - 12q^{3} - 14q^{4} - 3q^{5} + 11q^{6} + 2q^{7} + 17q^{8} - 10q^{9} + O(q^{10}) \) \( 16q - 6q^{2} - 12q^{3} - 14q^{4} - 3q^{5} + 11q^{6} + 2q^{7} + 17q^{8} - 10q^{9} - 2q^{10} - 7q^{11} + 5q^{12} - 7q^{13} - 6q^{14} + 14q^{15} - 2q^{16} - 6q^{17} - 3q^{18} + 16q^{19} + 37q^{20} + 9q^{21} + 9q^{22} + q^{23} - 20q^{24} - 13q^{25} + 9q^{26} + 9q^{27} - 30q^{28} - 14q^{29} - 22q^{30} + 15q^{31} - 42q^{32} - 13q^{33} - 32q^{34} - 9q^{35} + q^{36} - 8q^{37} + 8q^{38} - 3q^{39} - q^{40} - 8q^{41} + 69q^{42} + 23q^{43} + 39q^{44} + 65q^{45} + 34q^{46} + 14q^{47} + 34q^{48} + 2q^{49} + 3q^{50} - 42q^{51} + 29q^{52} + 6q^{53} - 46q^{54} - 7q^{55} - 30q^{56} - 17q^{57} - 15q^{58} + 4q^{59} - 75q^{60} - 60q^{61} - 25q^{62} - 46q^{63} + 23q^{64} - 12q^{65} - 30q^{66} + 13q^{67} + 30q^{68} + 38q^{69} + 12q^{70} - 14q^{71} + 37q^{72} + 2q^{73} + 13q^{74} + 13q^{75} - 12q^{76} + 18q^{77} - 15q^{78} + 18q^{79} + 36q^{80} + 23q^{81} + 14q^{82} - 16q^{83} + 8q^{84} + 37q^{85} - 26q^{86} + 15q^{87} - 17q^{88} + q^{89} - 23q^{90} + 8q^{91} - 64q^{92} + 17q^{93} + 44q^{94} - 22q^{95} + 8q^{96} + 3q^{97} - 10q^{98} + 6q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/31\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.571745 + 1.75965i −0.404285 + 1.24426i 0.517206 + 0.855861i \(0.326972\pi\)
−0.921491 + 0.388400i \(0.873028\pi\)
\(3\) −0.488442 0.103822i −0.282002 0.0599414i 0.0647390 0.997902i \(-0.479379\pi\)
−0.346741 + 0.937961i \(0.612712\pi\)
\(4\) −1.15144 0.836573i −0.575722 0.418287i
\(5\) −0.603681 1.04561i −0.269974 0.467609i 0.698881 0.715238i \(-0.253682\pi\)
−0.968855 + 0.247629i \(0.920349\pi\)
\(6\) 0.461954 0.800128i 0.188592 0.326651i
\(7\) 3.41030 1.51837i 1.28897 0.573888i 0.356220 0.934402i \(-0.384065\pi\)
0.932754 + 0.360514i \(0.117399\pi\)
\(8\) −0.863288 + 0.627215i −0.305218 + 0.221754i
\(9\) −2.51284 1.11879i −0.837613 0.372929i
\(10\) 2.18505 0.464447i 0.690974 0.146871i
\(11\) 0.194058 1.84634i 0.0585107 0.556692i −0.925521 0.378697i \(-0.876372\pi\)
0.984031 0.177995i \(-0.0569611\pi\)
\(12\) 0.475560 + 0.528162i 0.137282 + 0.152467i
\(13\) −3.46909 + 3.85281i −0.962152 + 1.06858i 0.0354505 + 0.999371i \(0.488713\pi\)
−0.997602 + 0.0692065i \(0.977953\pi\)
\(14\) 0.721967 + 6.86906i 0.192954 + 1.83583i
\(15\) 0.186307 + 0.573393i 0.0481042 + 0.148049i
\(16\) −1.48972 4.58490i −0.372431 1.14622i
\(17\) 0.592413 + 5.63643i 0.143681 + 1.36703i 0.794252 + 0.607589i \(0.207863\pi\)
−0.650571 + 0.759446i \(0.725470\pi\)
\(18\) 3.40538 3.78206i 0.802656 0.891440i
\(19\) −0.962535 1.06900i −0.220821 0.245246i 0.622548 0.782582i \(-0.286098\pi\)
−0.843369 + 0.537335i \(0.819431\pi\)
\(20\) −0.179621 + 1.70898i −0.0401645 + 0.382139i
\(21\) −1.82338 + 0.387571i −0.397893 + 0.0845748i
\(22\) 3.13796 + 1.39711i 0.669015 + 0.297865i
\(23\) 2.86762 2.08345i 0.597940 0.434429i −0.247207 0.968963i \(-0.579513\pi\)
0.845147 + 0.534534i \(0.179513\pi\)
\(24\) 0.486785 0.216731i 0.0993645 0.0442399i
\(25\) 1.77114 3.06770i 0.354228 0.613541i
\(26\) −4.79617 8.30721i −0.940606 1.62918i
\(27\) 2.32318 + 1.68789i 0.447096 + 0.324835i
\(28\) −5.19700 1.10466i −0.982140 0.208760i
\(29\) 0.424157 1.30542i 0.0787641 0.242411i −0.903919 0.427703i \(-0.859323\pi\)
0.982684 + 0.185292i \(0.0593230\pi\)
\(30\) −1.11549 −0.203660
\(31\) −1.81847 + 5.26243i −0.326607 + 0.945160i
\(32\) 6.78540 1.19950
\(33\) −0.286476 + 0.881683i −0.0498691 + 0.153481i
\(34\) −10.2569 2.18016i −1.75904 0.373895i
\(35\) −3.64635 2.64923i −0.616345 0.447801i
\(36\) 1.95745 + 3.39040i 0.326241 + 0.565066i
\(37\) −2.25141 + 3.89955i −0.370129 + 0.641082i −0.989585 0.143949i \(-0.954020\pi\)
0.619456 + 0.785031i \(0.287353\pi\)
\(38\) 2.43140 1.08253i 0.394425 0.175609i
\(39\) 2.09445 1.52171i 0.335381 0.243669i
\(40\) 1.17697 + 0.524021i 0.186095 + 0.0828550i
\(41\) 4.61599 0.981158i 0.720896 0.153231i 0.167168 0.985928i \(-0.446538\pi\)
0.553728 + 0.832697i \(0.313205\pi\)
\(42\) 0.360518 3.43010i 0.0556291 0.529275i
\(43\) 4.38897 + 4.87445i 0.669312 + 0.743347i 0.978180 0.207758i \(-0.0666167\pi\)
−0.308868 + 0.951105i \(0.599950\pi\)
\(44\) −1.76804 + 1.96361i −0.266543 + 0.296026i
\(45\) 0.347141 + 3.30283i 0.0517488 + 0.492357i
\(46\) 2.02659 + 6.23721i 0.298805 + 0.919627i
\(47\) −1.30682 4.02199i −0.190620 0.586667i 0.809380 0.587285i \(-0.199803\pi\)
−1.00000 0.000618100i \(0.999803\pi\)
\(48\) 0.251633 + 2.39412i 0.0363200 + 0.345562i
\(49\) 4.64083 5.15416i 0.662975 0.736308i
\(50\) 4.38545 + 4.87053i 0.620196 + 0.688797i
\(51\) 0.295824 2.81458i 0.0414236 0.394119i
\(52\) 7.21762 1.53415i 1.00090 0.212749i
\(53\) −11.8426 5.27265i −1.62670 0.724254i −0.628152 0.778091i \(-0.716188\pi\)
−0.998550 + 0.0538363i \(0.982855\pi\)
\(54\) −4.29836 + 3.12294i −0.584933 + 0.424979i
\(55\) −2.04769 + 0.911691i −0.276111 + 0.122932i
\(56\) −1.99173 + 3.44978i −0.266156 + 0.460996i
\(57\) 0.359157 + 0.622078i 0.0475715 + 0.0823963i
\(58\) 2.05458 + 1.49274i 0.269779 + 0.196006i
\(59\) 2.13389 + 0.453572i 0.277808 + 0.0590500i 0.344709 0.938710i \(-0.387978\pi\)
−0.0669005 + 0.997760i \(0.521311\pi\)
\(60\) 0.265164 0.816089i 0.0342325 0.105357i
\(61\) −2.68087 −0.343251 −0.171625 0.985162i \(-0.554902\pi\)
−0.171625 + 0.985162i \(0.554902\pi\)
\(62\) −8.22033 6.20865i −1.04398 0.788499i
\(63\) −10.2683 −1.29368
\(64\) −0.900071 + 2.77013i −0.112509 + 0.346267i
\(65\) 6.12274 + 1.30143i 0.759433 + 0.161422i
\(66\) −1.38766 1.00820i −0.170809 0.124100i
\(67\) −1.44150 2.49675i −0.176107 0.305027i 0.764437 0.644699i \(-0.223017\pi\)
−0.940544 + 0.339672i \(0.889684\pi\)
\(68\) 4.03315 6.98563i 0.489092 0.847132i
\(69\) −1.61697 + 0.719924i −0.194661 + 0.0866686i
\(70\) 6.74649 4.90161i 0.806360 0.585855i
\(71\) 8.22340 + 3.66129i 0.975938 + 0.434516i 0.831820 0.555045i \(-0.187299\pi\)
0.144118 + 0.989561i \(0.453966\pi\)
\(72\) 2.87102 0.610255i 0.338353 0.0719192i
\(73\) 0.439443 4.18102i 0.0514329 0.489352i −0.938238 0.345991i \(-0.887543\pi\)
0.989671 0.143360i \(-0.0457907\pi\)
\(74\) −5.57462 6.19124i −0.648036 0.719717i
\(75\) −1.18359 + 1.31451i −0.136670 + 0.151787i
\(76\) 0.214006 + 2.03613i 0.0245481 + 0.233560i
\(77\) −2.14162 6.59123i −0.244060 0.751140i
\(78\) 1.48018 + 4.55554i 0.167598 + 0.515813i
\(79\) −1.17403 11.1702i −0.132089 1.25674i −0.836903 0.547351i \(-0.815636\pi\)
0.704814 0.709392i \(-0.251030\pi\)
\(80\) −3.89468 + 4.32548i −0.435438 + 0.483603i
\(81\) 4.56212 + 5.06675i 0.506902 + 0.562972i
\(82\) −0.912672 + 8.68350i −0.100788 + 0.958932i
\(83\) 10.2485 2.17838i 1.12492 0.239108i 0.392358 0.919813i \(-0.371659\pi\)
0.732558 + 0.680704i \(0.238326\pi\)
\(84\) 2.42375 + 1.07912i 0.264452 + 0.117742i
\(85\) 5.53585 4.02203i 0.600448 0.436251i
\(86\) −11.0867 + 4.93612i −1.19551 + 0.532275i
\(87\) −0.342708 + 0.593587i −0.0367421 + 0.0636392i
\(88\) 0.990524 + 1.71564i 0.105590 + 0.182888i
\(89\) 2.18575 + 1.58804i 0.231689 + 0.168332i 0.697573 0.716514i \(-0.254263\pi\)
−0.465884 + 0.884846i \(0.654263\pi\)
\(90\) −6.01030 1.27753i −0.633542 0.134663i
\(91\) −5.98067 + 18.4066i −0.626944 + 1.92954i
\(92\) −5.04486 −0.525963
\(93\) 1.43457 2.38160i 0.148758 0.246960i
\(94\) 7.82446 0.807031
\(95\) −0.536692 + 1.65177i −0.0550635 + 0.169468i
\(96\) −3.31428 0.704471i −0.338262 0.0718998i
\(97\) 6.70942 + 4.87468i 0.681239 + 0.494949i 0.873768 0.486342i \(-0.161669\pi\)
−0.192530 + 0.981291i \(0.561669\pi\)
\(98\) 6.41615 + 11.1131i 0.648129 + 1.12259i
\(99\) −2.55330 + 4.42244i −0.256616 + 0.444472i
\(100\) −4.60573 + 2.05060i −0.460573 + 0.205060i
\(101\) −1.29317 + 0.939541i −0.128675 + 0.0934879i −0.650261 0.759711i \(-0.725341\pi\)
0.521586 + 0.853199i \(0.325341\pi\)
\(102\) 4.78353 + 2.12977i 0.473640 + 0.210878i
\(103\) −17.9078 + 3.80641i −1.76451 + 0.375057i −0.972032 0.234849i \(-0.924540\pi\)
−0.792474 + 0.609906i \(0.791207\pi\)
\(104\) 0.578278 5.50195i 0.0567048 0.539511i
\(105\) 1.50598 + 1.67256i 0.146969 + 0.163225i
\(106\) 16.0490 17.8242i 1.55881 1.73124i
\(107\) −1.20995 11.5119i −0.116970 1.11289i −0.882767 0.469812i \(-0.844322\pi\)
0.765797 0.643083i \(-0.222345\pi\)
\(108\) −1.26297 3.88702i −0.121529 0.374029i
\(109\) 0.430552 + 1.32510i 0.0412394 + 0.126922i 0.969557 0.244867i \(-0.0787444\pi\)
−0.928317 + 0.371789i \(0.878744\pi\)
\(110\) −0.433500 4.12448i −0.0413326 0.393254i
\(111\) 1.50454 1.67096i 0.142805 0.158601i
\(112\) −12.0420 13.3740i −1.13786 1.26372i
\(113\) 0.340299 3.23773i 0.0320126 0.304580i −0.966786 0.255586i \(-0.917732\pi\)
0.998799 0.0489943i \(-0.0156016\pi\)
\(114\) −1.29999 + 0.276321i −0.121755 + 0.0258798i
\(115\) −3.90959 1.74066i −0.364571 0.162318i
\(116\) −1.58047 + 1.14828i −0.146743 + 0.106615i
\(117\) 13.0277 5.80032i 1.20442 0.536240i
\(118\) −2.01817 + 3.49557i −0.185787 + 0.321793i
\(119\) 10.5785 + 18.3224i 0.969726 + 1.67961i
\(120\) −0.520477 0.378149i −0.0475129 0.0345201i
\(121\) 7.38831 + 1.57043i 0.671665 + 0.142767i
\(122\) 1.53278 4.71740i 0.138771 0.427093i
\(123\) −2.35651 −0.212479
\(124\) 6.49628 4.53811i 0.583383 0.407534i
\(125\) −10.3136 −0.922478
\(126\) 5.87084 18.0686i 0.523016 1.60968i
\(127\) −9.38184 1.99417i −0.832504 0.176954i −0.228105 0.973636i \(-0.573253\pi\)
−0.604398 + 0.796682i \(0.706586\pi\)
\(128\) 6.61915 + 4.80909i 0.585056 + 0.425068i
\(129\) −1.63769 2.83656i −0.144190 0.249745i
\(130\) −5.79071 + 10.0298i −0.507879 + 0.879672i
\(131\) −10.4986 + 4.67429i −0.917269 + 0.408395i −0.810399 0.585878i \(-0.800750\pi\)
−0.106870 + 0.994273i \(0.534083\pi\)
\(132\) 1.06745 0.775550i 0.0929099 0.0675030i
\(133\) −4.90567 2.18415i −0.425376 0.189390i
\(134\) 5.21758 1.10903i 0.450730 0.0958057i
\(135\) 0.362408 3.44808i 0.0311911 0.296763i
\(136\) −4.04668 4.49429i −0.347000 0.385382i
\(137\) −10.5641 + 11.7326i −0.902548 + 1.00238i 0.0974262 + 0.995243i \(0.468939\pi\)
−0.999975 + 0.00713873i \(0.997728\pi\)
\(138\) −0.342316 3.25692i −0.0291399 0.277248i
\(139\) −3.15460 9.70886i −0.267570 0.823494i −0.991090 0.133192i \(-0.957477\pi\)
0.723521 0.690303i \(-0.242523\pi\)
\(140\) 1.98229 + 6.10087i 0.167534 + 0.515618i
\(141\) 0.220738 + 2.10018i 0.0185895 + 0.176867i
\(142\) −11.1443 + 12.3770i −0.935208 + 1.03865i
\(143\) 6.44040 + 7.15278i 0.538573 + 0.598146i
\(144\) −1.38609 + 13.1878i −0.115508 + 1.09898i
\(145\) −1.62101 + 0.344557i −0.134618 + 0.0286139i
\(146\) 7.10589 + 3.16374i 0.588087 + 0.261833i
\(147\) −2.80189 + 2.03569i −0.231096 + 0.167901i
\(148\) 5.85463 2.60665i 0.481247 0.214265i
\(149\) −1.91033 + 3.30879i −0.156501 + 0.271067i −0.933604 0.358305i \(-0.883355\pi\)
0.777104 + 0.629372i \(0.216688\pi\)
\(150\) −1.63637 2.83428i −0.133609 0.231418i
\(151\) 7.17402 + 5.21223i 0.583814 + 0.424166i 0.840097 0.542436i \(-0.182498\pi\)
−0.256283 + 0.966602i \(0.582498\pi\)
\(152\) 1.50144 + 0.319141i 0.121783 + 0.0258857i
\(153\) 4.81733 14.8262i 0.389458 1.19863i
\(154\) 12.8227 1.03328
\(155\) 6.60020 1.27542i 0.530141 0.102444i
\(156\) −3.68467 −0.295010
\(157\) −1.59982 + 4.92372i −0.127679 + 0.392956i −0.994380 0.105873i \(-0.966236\pi\)
0.866701 + 0.498829i \(0.166236\pi\)
\(158\) 20.3269 + 4.32061i 1.61712 + 0.343729i
\(159\) 5.23700 + 3.80490i 0.415321 + 0.301748i
\(160\) −4.09621 7.09485i −0.323834 0.560897i
\(161\) 6.61602 11.4593i 0.521416 0.903119i
\(162\) −11.5241 + 5.13085i −0.905417 + 0.403118i
\(163\) −0.448015 + 0.325502i −0.0350912 + 0.0254953i −0.605193 0.796079i \(-0.706904\pi\)
0.570101 + 0.821574i \(0.306904\pi\)
\(164\) −6.13586 2.73186i −0.479130 0.213323i
\(165\) 1.09483 0.232714i 0.0852326 0.0181168i
\(166\) −2.02633 + 19.2792i −0.157274 + 1.49636i
\(167\) 1.33693 + 1.48481i 0.103454 + 0.114898i 0.792648 0.609679i \(-0.208702\pi\)
−0.689194 + 0.724577i \(0.742035\pi\)
\(168\) 1.33101 1.47823i 0.102689 0.114048i
\(169\) −1.45072 13.8027i −0.111594 1.06175i
\(170\) 3.91228 + 12.0407i 0.300058 + 0.923483i
\(171\) 1.22271 + 3.76311i 0.0935028 + 0.287772i
\(172\) −0.975825 9.28435i −0.0744060 0.707925i
\(173\) −2.71506 + 3.01538i −0.206422 + 0.229255i −0.837462 0.546495i \(-0.815962\pi\)
0.631040 + 0.775750i \(0.282628\pi\)
\(174\) −0.848564 0.942426i −0.0643295 0.0714451i
\(175\) 1.38223 13.1510i 0.104487 0.994125i
\(176\) −8.75437 + 1.86080i −0.659886 + 0.140263i
\(177\) −0.995190 0.443087i −0.0748030 0.0333045i
\(178\) −4.04409 + 2.93820i −0.303117 + 0.220227i
\(179\) −3.62117 + 1.61225i −0.270659 + 0.120505i −0.537579 0.843214i \(-0.680661\pi\)
0.266920 + 0.963719i \(0.413994\pi\)
\(180\) 2.36334 4.09343i 0.176153 0.305106i
\(181\) −3.19871 5.54033i −0.237758 0.411809i 0.722312 0.691567i \(-0.243079\pi\)
−0.960071 + 0.279757i \(0.909746\pi\)
\(182\) −28.9698 21.0478i −2.14738 1.56016i
\(183\) 1.30945 + 0.278333i 0.0967975 + 0.0205749i
\(184\) −1.16881 + 3.59723i −0.0861659 + 0.265191i
\(185\) 5.43652 0.399701
\(186\) 3.37057 + 3.88601i 0.247142 + 0.284936i
\(187\) 10.5217 0.769425
\(188\) −1.85995 + 5.72434i −0.135651 + 0.417491i
\(189\) 10.4856 + 2.22878i 0.762714 + 0.162120i
\(190\) −2.59968 1.88878i −0.188601 0.137027i
\(191\) −5.81282 10.0681i −0.420601 0.728502i 0.575398 0.817874i \(-0.304847\pi\)
−0.995998 + 0.0893720i \(0.971514\pi\)
\(192\) 0.727233 1.25960i 0.0524835 0.0909041i
\(193\) 12.3726 5.50865i 0.890602 0.396521i 0.0901566 0.995928i \(-0.471263\pi\)
0.800445 + 0.599406i \(0.204597\pi\)
\(194\) −12.4138 + 9.01917i −0.891260 + 0.647538i
\(195\) −2.85549 1.27135i −0.204486 0.0910430i
\(196\) −9.65548 + 2.05234i −0.689677 + 0.146595i
\(197\) −2.44642 + 23.2761i −0.174300 + 1.65835i 0.461977 + 0.886892i \(0.347140\pi\)
−0.636277 + 0.771461i \(0.719526\pi\)
\(198\) −6.32212 7.02143i −0.449294 0.498991i
\(199\) 4.41490 4.90324i 0.312964 0.347582i −0.566056 0.824367i \(-0.691531\pi\)
0.879020 + 0.476785i \(0.158198\pi\)
\(200\) 0.395107 + 3.75920i 0.0279383 + 0.265815i
\(201\) 0.444873 + 1.36918i 0.0313789 + 0.0965744i
\(202\) −0.913902 2.81270i −0.0643019 0.197901i
\(203\) −0.535602 5.09591i −0.0375919 0.357663i
\(204\) −2.69522 + 2.99335i −0.188703 + 0.209576i
\(205\) −3.81249 4.23420i −0.266276 0.295729i
\(206\) 3.54072 33.6877i 0.246694 2.34714i
\(207\) −9.53681 + 2.02711i −0.662854 + 0.140894i
\(208\) 22.8327 + 10.1658i 1.58317 + 0.704871i
\(209\) −2.16053 + 1.56972i −0.149447 + 0.108580i
\(210\) −3.80417 + 1.69372i −0.262512 + 0.116878i
\(211\) 9.68254 16.7707i 0.666574 1.15454i −0.312283 0.949989i \(-0.601094\pi\)
0.978856 0.204550i \(-0.0655731\pi\)
\(212\) 9.22510 + 15.9783i 0.633582 + 1.09740i
\(213\) −3.63654 2.64210i −0.249171 0.181034i
\(214\) 20.9486 + 4.45277i 1.43202 + 0.304385i
\(215\) 2.44721 7.53175i 0.166899 0.513661i
\(216\) −3.06424 −0.208495
\(217\) 1.78874 + 20.7076i 0.121428 + 1.40572i
\(218\) −2.57788 −0.174596
\(219\) −0.648723 + 1.99656i −0.0438366 + 0.134915i
\(220\) 3.12050 + 0.663283i 0.210384 + 0.0447185i
\(221\) −23.7712 17.2708i −1.59903 1.16176i
\(222\) 2.08009 + 3.60283i 0.139607 + 0.241806i
\(223\) −3.52986 + 6.11389i −0.236377 + 0.409416i −0.959672 0.281123i \(-0.909293\pi\)
0.723295 + 0.690539i \(0.242627\pi\)
\(224\) 23.1403 10.3027i 1.54612 0.688379i
\(225\) −7.88270 + 5.72712i −0.525513 + 0.381808i
\(226\) 5.50271 + 2.44996i 0.366035 + 0.162969i
\(227\) 8.82270 1.87532i 0.585583 0.124470i 0.0944130 0.995533i \(-0.469903\pi\)
0.491170 + 0.871064i \(0.336569\pi\)
\(228\) 0.106865 1.01675i 0.00707729 0.0673359i
\(229\) 12.0135 + 13.3423i 0.793872 + 0.881684i 0.995202 0.0978395i \(-0.0311932\pi\)
−0.201330 + 0.979523i \(0.564527\pi\)
\(230\) 5.29825 5.88430i 0.349356 0.387999i
\(231\) 0.361746 + 3.44178i 0.0238011 + 0.226453i
\(232\) 0.452611 + 1.39299i 0.0297154 + 0.0914545i
\(233\) 4.21725 + 12.9793i 0.276281 + 0.850305i 0.988878 + 0.148731i \(0.0475190\pi\)
−0.712597 + 0.701574i \(0.752481\pi\)
\(234\) 2.75800 + 26.2406i 0.180296 + 1.71540i
\(235\) −3.41651 + 3.79442i −0.222868 + 0.247520i
\(236\) −2.07760 2.30741i −0.135241 0.150200i
\(237\) −0.586258 + 5.57788i −0.0380816 + 0.362322i
\(238\) −38.2893 + 8.13864i −2.48192 + 0.527549i
\(239\) −8.99955 4.00686i −0.582132 0.259182i 0.0944736 0.995527i \(-0.469883\pi\)
−0.676606 + 0.736345i \(0.736550\pi\)
\(240\) 2.35140 1.70840i 0.151783 0.110276i
\(241\) −6.09318 + 2.71286i −0.392496 + 0.174751i −0.593489 0.804842i \(-0.702250\pi\)
0.200993 + 0.979593i \(0.435583\pi\)
\(242\) −6.98765 + 12.1030i −0.449183 + 0.778008i
\(243\) −6.00971 10.4091i −0.385523 0.667746i
\(244\) 3.08688 + 2.24275i 0.197617 + 0.143577i
\(245\) −8.19079 1.74101i −0.523291 0.111229i
\(246\) 1.34732 4.14663i 0.0859021 0.264380i
\(247\) 7.45779 0.474528
\(248\) −1.73081 5.68356i −0.109907 0.360907i
\(249\) −5.23195 −0.331562
\(250\) 5.89676 18.1484i 0.372944 1.14780i
\(251\) 28.6773 + 6.09555i 1.81010 + 0.384748i 0.983912 0.178654i \(-0.0571743\pi\)
0.826183 + 0.563402i \(0.190508\pi\)
\(252\) 11.8233 + 8.59016i 0.744801 + 0.541129i
\(253\) −3.29027 5.69891i −0.206857 0.358288i
\(254\) 8.87307 15.3686i 0.556746 0.964312i
\(255\) −3.12152 + 1.38979i −0.195477 + 0.0870320i
\(256\) −16.9596 + 12.3219i −1.05998 + 0.770118i
\(257\) −21.8780 9.74073i −1.36471 0.607610i −0.411919 0.911221i \(-0.635141\pi\)
−0.952796 + 0.303610i \(0.901808\pi\)
\(258\) 5.92769 1.25997i 0.369042 0.0784423i
\(259\) −1.75704 + 16.7171i −0.109177 + 1.03875i
\(260\) −5.96126 6.62065i −0.369701 0.410595i
\(261\) −2.52633 + 2.80577i −0.156376 + 0.173673i
\(262\) −2.22258 21.1464i −0.137311 1.30643i
\(263\) 1.21883 + 3.75119i 0.0751566 + 0.231308i 0.981577 0.191070i \(-0.0611956\pi\)
−0.906420 + 0.422378i \(0.861196\pi\)
\(264\) −0.305694 0.940828i −0.0188141 0.0579040i
\(265\) 1.63602 + 15.5657i 0.100500 + 0.956191i
\(266\) 6.64813 7.38350i 0.407623 0.452711i
\(267\) −0.902740 1.00259i −0.0552468 0.0613578i
\(268\) −0.428908 + 4.08079i −0.0261997 + 0.249274i
\(269\) −12.4736 + 2.65134i −0.760527 + 0.161655i −0.571821 0.820379i \(-0.693763\pi\)
−0.188706 + 0.982034i \(0.560429\pi\)
\(270\) 5.86021 + 2.60913i 0.356641 + 0.158787i
\(271\) 2.68805 1.95298i 0.163287 0.118635i −0.503141 0.864204i \(-0.667822\pi\)
0.666428 + 0.745569i \(0.267822\pi\)
\(272\) 24.9599 11.1129i 1.51342 0.673817i
\(273\) 4.83221 8.36964i 0.292459 0.506554i
\(274\) −14.6053 25.2971i −0.882337 1.52825i
\(275\) −5.32032 3.86544i −0.320827 0.233095i
\(276\) 2.46412 + 0.523766i 0.148323 + 0.0315270i
\(277\) 6.49451 19.9880i 0.390217 1.20096i −0.542407 0.840116i \(-0.682487\pi\)
0.932624 0.360849i \(-0.117513\pi\)
\(278\) 18.8878 1.13282
\(279\) 10.4571 11.1892i 0.626049 0.669877i
\(280\) 4.80948 0.287421
\(281\) −2.89451 + 8.90839i −0.172672 + 0.531430i −0.999519 0.0309964i \(-0.990132\pi\)
0.826847 + 0.562426i \(0.190132\pi\)
\(282\) −3.82180 0.812348i −0.227585 0.0483746i
\(283\) 8.19788 + 5.95611i 0.487313 + 0.354054i 0.804150 0.594426i \(-0.202621\pi\)
−0.316837 + 0.948480i \(0.602621\pi\)
\(284\) −6.40585 11.0953i −0.380117 0.658382i
\(285\) 0.433632 0.751074i 0.0256862 0.0444898i
\(286\) −16.2687 + 7.24328i −0.961986 + 0.428304i
\(287\) 14.2522 10.3548i 0.841278 0.611225i
\(288\) −17.0506 7.59142i −1.00472 0.447329i
\(289\) −14.7899 + 3.14368i −0.869992 + 0.184923i
\(290\) 0.320506 3.04942i 0.0188208 0.179068i
\(291\) −2.77107 3.07758i −0.162443 0.180411i
\(292\) −4.00372 + 4.44659i −0.234300 + 0.260217i
\(293\) 2.22333 + 21.1536i 0.129888 + 1.23581i 0.844220 + 0.535997i \(0.180064\pi\)
−0.714331 + 0.699808i \(0.753269\pi\)
\(294\) −1.98014 6.09424i −0.115484 0.355423i
\(295\) −0.813929 2.50502i −0.0473888 0.145848i
\(296\) −0.502246 4.77855i −0.0291925 0.277748i
\(297\) 3.56725 3.96183i 0.206993 0.229889i
\(298\) −4.73010 5.25331i −0.274007 0.304316i
\(299\) −1.92089 + 18.2761i −0.111088 + 1.05693i
\(300\) 2.46253 0.523426i 0.142174 0.0302200i
\(301\) 22.3689 + 9.95929i 1.28932 + 0.574044i
\(302\) −13.2734 + 9.64371i −0.763800 + 0.554933i
\(303\) 0.729183 0.324653i 0.0418904 0.0186508i
\(304\) −3.46736 + 6.00565i −0.198867 + 0.344447i
\(305\) 1.61839 + 2.80314i 0.0926688 + 0.160507i
\(306\) 23.3347 + 16.9536i 1.33396 + 0.969175i
\(307\) −15.8863 3.37674i −0.906680 0.192721i −0.269107 0.963110i \(-0.586728\pi\)
−0.637573 + 0.770390i \(0.720062\pi\)
\(308\) −3.04809 + 9.38105i −0.173681 + 0.534535i
\(309\) 9.14210 0.520076
\(310\) −1.52934 + 12.3433i −0.0868606 + 0.701050i
\(311\) −10.3858 −0.588924 −0.294462 0.955663i \(-0.595141\pi\)
−0.294462 + 0.955663i \(0.595141\pi\)
\(312\) −0.853677 + 2.62735i −0.0483299 + 0.148744i
\(313\) −31.3434 6.66226i −1.77164 0.376573i −0.797640 0.603134i \(-0.793918\pi\)
−0.973997 + 0.226561i \(0.927252\pi\)
\(314\) −7.74935 5.63023i −0.437321 0.317732i
\(315\) 6.19876 + 10.7366i 0.349261 + 0.604937i
\(316\) −7.99283 + 13.8440i −0.449632 + 0.778786i
\(317\) 23.1261 10.2964i 1.29889 0.578304i 0.363395 0.931635i \(-0.381618\pi\)
0.935498 + 0.353331i \(0.114951\pi\)
\(318\) −9.68952 + 7.03985i −0.543361 + 0.394775i
\(319\) −2.32794 1.03647i −0.130340 0.0580310i
\(320\) 3.43982 0.731157i 0.192292 0.0408729i
\(321\) −0.604192 + 5.74850i −0.0337227 + 0.320850i
\(322\) 16.3817 + 18.1937i 0.912915 + 1.01389i
\(323\) 5.45514 6.05855i 0.303532 0.337107i
\(324\) −1.01432 9.65063i −0.0563512 0.536146i
\(325\) 5.67505 + 17.4660i 0.314795 + 0.968839i
\(326\) −0.316619 0.974453i −0.0175359 0.0539700i
\(327\) −0.0727254 0.691936i −0.00402173 0.0382642i
\(328\) −3.36953 + 3.74224i −0.186051 + 0.206631i
\(329\) −10.5635 11.7320i −0.582385 0.646804i
\(330\) −0.216470 + 2.05958i −0.0119163 + 0.113376i
\(331\) 32.1961 6.84349i 1.76966 0.376152i 0.796202 0.605031i \(-0.206839\pi\)
0.973455 + 0.228879i \(0.0735059\pi\)
\(332\) −13.6229 6.06532i −0.747655 0.332877i
\(333\) 10.0202 7.28010i 0.549103 0.398947i
\(334\) −3.37712 + 1.50359i −0.184788 + 0.0822729i
\(335\) −1.74041 + 3.01448i −0.0950888 + 0.164699i
\(336\) 4.49330 + 7.78262i 0.245130 + 0.424577i
\(337\) −3.19618 2.32216i −0.174107 0.126496i 0.497319 0.867568i \(-0.334318\pi\)
−0.671426 + 0.741072i \(0.734318\pi\)
\(338\) 25.1174 + 5.33887i 1.36621 + 0.290396i
\(339\) −0.502363 + 1.54611i −0.0272846 + 0.0839734i
\(340\) −9.73895 −0.528169
\(341\) 9.36334 + 4.37874i 0.507053 + 0.237122i
\(342\) −7.32083 −0.395865
\(343\) −0.0742848 + 0.228625i −0.00401100 + 0.0123446i
\(344\) −6.84628 1.45522i −0.369126 0.0784603i
\(345\) 1.72889 + 1.25611i 0.0930804 + 0.0676269i
\(346\) −3.75369 6.50159i −0.201800 0.349527i
\(347\) 6.84222 11.8511i 0.367310 0.636199i −0.621834 0.783149i \(-0.713612\pi\)
0.989144 + 0.146950i \(0.0469456\pi\)
\(348\) 0.891187 0.396782i 0.0477727 0.0212698i
\(349\) 2.99733 2.17769i 0.160443 0.116569i −0.504667 0.863314i \(-0.668385\pi\)
0.665110 + 0.746745i \(0.268385\pi\)
\(350\) 22.3509 + 9.95128i 1.19471 + 0.531918i
\(351\) −14.5624 + 3.09534i −0.777286 + 0.165217i
\(352\) 1.31676 12.5282i 0.0701836 0.667753i
\(353\) −10.3658 11.5124i −0.551717 0.612744i 0.401194 0.915993i \(-0.368595\pi\)
−0.952911 + 0.303249i \(0.901929\pi\)
\(354\) 1.34867 1.49785i 0.0716812 0.0796100i
\(355\) −1.13604 10.8087i −0.0602947 0.573666i
\(356\) −1.18826 3.65708i −0.0629775 0.193825i
\(357\) −3.26470 10.0477i −0.172786 0.531782i
\(358\) −0.766608 7.29379i −0.0405165 0.385489i
\(359\) −3.59281 + 3.99022i −0.189621 + 0.210596i −0.830458 0.557082i \(-0.811921\pi\)
0.640836 + 0.767677i \(0.278588\pi\)
\(360\) −2.37127 2.63356i −0.124977 0.138801i
\(361\) 1.76975 16.8380i 0.0931445 0.886211i
\(362\) 11.5779 2.46096i 0.608520 0.129345i
\(363\) −3.44572 1.53413i −0.180853 0.0805211i
\(364\) 22.2849 16.1909i 1.16804 0.848634i
\(365\) −4.63698 + 2.06452i −0.242711 + 0.108062i
\(366\) −1.23844 + 2.14504i −0.0647344 + 0.112123i
\(367\) 7.36045 + 12.7487i 0.384212 + 0.665475i 0.991660 0.128885i \(-0.0411397\pi\)
−0.607447 + 0.794360i \(0.707806\pi\)
\(368\) −13.8244 10.0440i −0.720645 0.523579i
\(369\) −12.6969 2.69882i −0.660976 0.140495i
\(370\) −3.10831 + 9.56638i −0.161593 + 0.497333i
\(371\) −48.3926 −2.51242
\(372\) −3.64421 + 1.54215i −0.188943 + 0.0799567i
\(373\) 23.8449 1.23464 0.617320 0.786712i \(-0.288218\pi\)
0.617320 + 0.786712i \(0.288218\pi\)
\(374\) −6.01574 + 18.5146i −0.311067 + 0.957365i
\(375\) 5.03761 + 1.07078i 0.260141 + 0.0552947i
\(376\) 3.65081 + 2.65247i 0.188276 + 0.136791i
\(377\) 3.55811 + 6.16282i 0.183252 + 0.317402i
\(378\) −9.91696 + 17.1767i −0.510073 + 0.883473i
\(379\) −20.2141 + 8.99989i −1.03833 + 0.462294i −0.853837 0.520541i \(-0.825730\pi\)
−0.184491 + 0.982834i \(0.559064\pi\)
\(380\) 1.99980 1.45294i 0.102587 0.0745341i
\(381\) 4.37545 + 1.94808i 0.224161 + 0.0998030i
\(382\) 21.0398 4.47214i 1.07649 0.228815i
\(383\) 2.48763 23.6682i 0.127112 1.20939i −0.726012 0.687682i \(-0.758628\pi\)
0.853124 0.521708i \(-0.174705\pi\)
\(384\) −2.73378 3.03618i −0.139508 0.154939i
\(385\) −5.59897 + 6.21829i −0.285350 + 0.316913i
\(386\) 2.61931 + 24.9211i 0.133319 + 1.26845i
\(387\) −5.57531 17.1590i −0.283409 0.872243i
\(388\) −3.64750 11.2258i −0.185174 0.569906i
\(389\) −1.78267 16.9610i −0.0903850 0.859956i −0.941960 0.335724i \(-0.891019\pi\)
0.851575 0.524232i \(-0.175648\pi\)
\(390\) 3.86974 4.29778i 0.195952 0.217627i
\(391\) 13.4420 + 14.9289i 0.679792 + 0.754986i
\(392\) −0.773601 + 7.36032i −0.0390727 + 0.371752i
\(393\) 5.61327 1.19314i 0.283152 0.0601858i
\(394\) −39.5591 17.6128i −1.99296 0.887321i
\(395\) −10.9709 + 7.97079i −0.552004 + 0.401054i
\(396\) 6.63968 2.95618i 0.333656 0.148553i
\(397\) 5.01075 8.67887i 0.251482 0.435580i −0.712452 0.701721i \(-0.752415\pi\)
0.963934 + 0.266141i \(0.0857486\pi\)
\(398\) 6.10380 + 10.5721i 0.305956 + 0.529931i
\(399\) 2.16938 + 1.57614i 0.108605 + 0.0789059i
\(400\) −16.7036 3.55046i −0.835181 0.177523i
\(401\) −8.82347 + 27.1559i −0.440623 + 1.35610i 0.446590 + 0.894739i \(0.352638\pi\)
−0.887213 + 0.461360i \(0.847362\pi\)
\(402\) −2.66363 −0.132850
\(403\) −13.9667 25.2621i −0.695731 1.25839i
\(404\) 2.27501 0.113186
\(405\) 2.54376 7.82888i 0.126400 0.389020i
\(406\) 9.27326 + 1.97109i 0.460224 + 0.0978236i
\(407\) 6.76299 + 4.91360i 0.335229 + 0.243558i
\(408\) 1.50996 + 2.61533i 0.0747543 + 0.129478i
\(409\) 11.5051 19.9274i 0.568891 0.985349i −0.427785 0.903881i \(-0.640706\pi\)
0.996676 0.0814681i \(-0.0259609\pi\)
\(410\) 9.63048 4.28776i 0.475615 0.211758i
\(411\) 6.37803 4.63391i 0.314605 0.228574i
\(412\) 23.8041 + 10.5983i 1.17275 + 0.522140i
\(413\) 7.96589 1.69320i 0.391976 0.0833170i
\(414\) 1.88562 17.9404i 0.0926730 0.881725i
\(415\) −8.46454 9.40082i −0.415508 0.461468i
\(416\) −23.5391 + 26.1429i −1.15410 + 1.28176i
\(417\) 0.532850 + 5.06973i 0.0260938 + 0.248266i
\(418\) −1.52688 4.69926i −0.0746822 0.229848i
\(419\) 10.3647 + 31.8994i 0.506351 + 1.55839i 0.798488 + 0.602011i \(0.205634\pi\)
−0.292137 + 0.956377i \(0.594366\pi\)
\(420\) −0.334833 3.18573i −0.0163382 0.155448i
\(421\) 6.04042 6.70857i 0.294392 0.326956i −0.577745 0.816217i \(-0.696067\pi\)
0.872137 + 0.489262i \(0.162734\pi\)
\(422\) 23.9745 + 26.6264i 1.16706 + 1.29615i
\(423\) −1.21592 + 11.5687i −0.0591198 + 0.562488i
\(424\) 13.5306 2.87602i 0.657105 0.139672i
\(425\) 18.3401 + 8.16555i 0.889627 + 0.396088i
\(426\) 6.72834 4.88843i 0.325989 0.236845i
\(427\) −9.14259 + 4.07055i −0.442441 + 0.196987i
\(428\) −8.23733 + 14.2675i −0.398167 + 0.689645i
\(429\) −2.40315 4.16237i −0.116025 0.200961i
\(430\) 11.8541 + 8.61248i 0.571654 + 0.415331i
\(431\) −11.0597 2.35081i −0.532726 0.113234i −0.0663088 0.997799i \(-0.521122\pi\)
−0.466418 + 0.884565i \(0.654456\pi\)
\(432\) 4.27791 13.1660i 0.205821 0.633452i
\(433\) 9.10433 0.437526 0.218763 0.975778i \(-0.429798\pi\)
0.218763 + 0.975778i \(0.429798\pi\)
\(434\) −37.4608 8.69190i −1.79818 0.417225i
\(435\) 0.827544 0.0396777
\(436\) 0.612788 1.88597i 0.0293472 0.0903215i
\(437\) −4.98740 1.06010i −0.238580 0.0507117i
\(438\) −3.14235 2.28305i −0.150147 0.109088i
\(439\) 19.8026 + 34.2992i 0.945128 + 1.63701i 0.755495 + 0.655155i \(0.227397\pi\)
0.189633 + 0.981855i \(0.439270\pi\)
\(440\) 1.19592 2.07140i 0.0570133 0.0987499i
\(441\) −17.4281 + 7.75947i −0.829908 + 0.369499i
\(442\) 43.9817 31.9546i 2.09200 1.51992i
\(443\) 23.0746 + 10.2735i 1.09631 + 0.488108i 0.873534 0.486762i \(-0.161822\pi\)
0.222774 + 0.974870i \(0.428489\pi\)
\(444\) −3.13027 + 0.665360i −0.148556 + 0.0315766i
\(445\) 0.340969 3.24410i 0.0161635 0.153785i
\(446\) −8.74013 9.70690i −0.413857 0.459635i
\(447\) 1.27661 1.41782i 0.0603817 0.0670607i
\(448\) 1.13656 + 10.8136i 0.0536974 + 0.510896i
\(449\) 0.566090 + 1.74225i 0.0267154 + 0.0822217i 0.963525 0.267617i \(-0.0862363\pi\)
−0.936810 + 0.349839i \(0.886236\pi\)
\(450\) −5.57083 17.1452i −0.262611 0.808235i
\(451\) −0.915782 8.71308i −0.0431225 0.410283i
\(452\) −3.10043 + 3.44338i −0.145832 + 0.161963i
\(453\) −2.96295 3.29069i −0.139212 0.154610i
\(454\) −1.74442 + 16.5971i −0.0818699 + 0.778940i
\(455\) 22.8565 4.85829i 1.07153 0.227760i
\(456\) −0.700233 0.311764i −0.0327914 0.0145997i
\(457\) −29.0877 + 21.1334i −1.36066 + 0.988581i −0.362262 + 0.932076i \(0.617996\pi\)
−0.998402 + 0.0565045i \(0.982004\pi\)
\(458\) −30.3464 + 13.5111i −1.41800 + 0.631332i
\(459\) −8.13739 + 14.0944i −0.379821 + 0.657869i
\(460\) 3.04549 + 5.27494i 0.141997 + 0.245945i
\(461\) 1.08144 + 0.785711i 0.0503676 + 0.0365942i 0.612684 0.790328i \(-0.290090\pi\)
−0.562317 + 0.826922i \(0.690090\pi\)
\(462\) −6.26316 1.33128i −0.291389 0.0619366i
\(463\) −3.63608 + 11.1907i −0.168983 + 0.520076i −0.999308 0.0372039i \(-0.988155\pi\)
0.830325 + 0.557280i \(0.188155\pi\)
\(464\) −6.61711 −0.307192
\(465\) −3.35623 0.0622743i −0.155642 0.00288790i
\(466\) −25.2503 −1.16970
\(467\) 3.39883 10.4605i 0.157279 0.484055i −0.841106 0.540871i \(-0.818095\pi\)
0.998385 + 0.0568157i \(0.0180947\pi\)
\(468\) −19.8531 4.21991i −0.917710 0.195065i
\(469\) −8.70693 6.32596i −0.402049 0.292106i
\(470\) −4.72348 8.18130i −0.217878 0.377375i
\(471\) 1.29261 2.23886i 0.0595602 0.103161i
\(472\) −2.12664 + 0.946843i −0.0978867 + 0.0435820i
\(473\) 9.85161 7.15761i 0.452977 0.329107i
\(474\) −9.47992 4.22073i −0.435427 0.193865i
\(475\) −4.98417 + 1.05942i −0.228689 + 0.0486094i
\(476\) 3.14755 29.9469i 0.144268 1.37261i
\(477\) 23.8595 + 26.4986i 1.09245 + 1.21329i
\(478\) 12.1961 13.5452i 0.557837 0.619541i
\(479\) 0.0702175 + 0.668075i 0.00320832 + 0.0305251i 0.996009 0.0892536i \(-0.0284482\pi\)
−0.992801 + 0.119779i \(0.961781\pi\)
\(480\) 1.26417 + 3.89070i 0.0577010 + 0.177585i
\(481\) −7.21391 22.2021i −0.328926 1.01233i
\(482\) −1.28994 12.2729i −0.0587550 0.559017i
\(483\) −4.42127 + 4.91032i −0.201175 + 0.223427i
\(484\) −7.19345 7.98913i −0.326975 0.363142i
\(485\) 1.04664 9.95816i 0.0475257 0.452177i
\(486\) 21.7524 4.62362i 0.986711 0.209732i
\(487\) −22.4508 9.99576i −1.01734 0.452951i −0.170821 0.985302i \(-0.554642\pi\)
−0.846524 + 0.532351i \(0.821309\pi\)
\(488\) 2.31437 1.68148i 0.104766 0.0761172i
\(489\) 0.252623 0.112475i 0.0114240 0.00508630i
\(490\) 7.74661 13.4175i 0.349956 0.606142i
\(491\) −4.31714 7.47751i −0.194830 0.337455i 0.752015 0.659146i \(-0.229082\pi\)
−0.946845 + 0.321691i \(0.895749\pi\)
\(492\) 2.71339 + 1.97139i 0.122329 + 0.0888772i
\(493\) 7.60920 + 1.61738i 0.342701 + 0.0728433i
\(494\) −4.26395 + 13.1231i −0.191844 + 0.590436i
\(495\) 6.16551 0.277119
\(496\) 26.8367 + 0.497951i 1.20500 + 0.0223586i
\(497\) 33.6035 1.50732
\(498\) 2.99134 9.20641i 0.134045 0.412549i
\(499\) −30.4169 6.46530i −1.36165 0.289427i −0.531540 0.847033i \(-0.678387\pi\)
−0.830105 + 0.557606i \(0.811720\pi\)
\(500\) 11.8756 + 8.62809i 0.531091 + 0.385860i
\(501\) −0.498856 0.864044i −0.0222873 0.0386027i
\(502\) −27.1221 + 46.9769i −1.21052 + 2.09668i
\(503\) −15.1140 + 6.72920i −0.673901 + 0.300040i −0.715010 0.699115i \(-0.753578\pi\)
0.0411086 + 0.999155i \(0.486911\pi\)
\(504\) 8.86447 6.44042i 0.394855 0.286879i
\(505\) 1.76305 + 0.784960i 0.0784547 + 0.0349303i
\(506\) 11.9093 2.53140i 0.529433 0.112534i
\(507\) −0.724425 + 6.89244i −0.0321728 + 0.306104i
\(508\) 9.13440 + 10.1448i 0.405273 + 0.450102i
\(509\) 20.6742 22.9610i 0.916367 1.01773i −0.0834081 0.996515i \(-0.526581\pi\)
0.999775 0.0212130i \(-0.00675283\pi\)
\(510\) −0.660831 6.28739i −0.0292621 0.278410i
\(511\) −4.84968 14.9258i −0.214537 0.660278i
\(512\) −6.92906 21.3254i −0.306224 0.942460i
\(513\) −0.431783 4.10814i −0.0190637 0.181379i
\(514\) 29.6490 32.9285i 1.30776 1.45241i
\(515\) 14.7906 + 16.4266i 0.651751 + 0.723843i
\(516\) −0.487283 + 4.63618i −0.0214514 + 0.204097i
\(517\) −7.67955 + 1.63234i −0.337746 + 0.0717902i
\(518\) −28.4117 12.6497i −1.24834 0.555796i
\(519\) 1.63921 1.19096i 0.0719534 0.0522772i
\(520\) −6.10197 + 2.71677i −0.267589 + 0.119138i
\(521\) 7.36097 12.7496i 0.322490 0.558569i −0.658511 0.752571i \(-0.728813\pi\)
0.981001 + 0.194002i \(0.0621468\pi\)
\(522\) −3.49277 6.04965i −0.152874 0.264786i
\(523\) 24.5610 + 17.8446i 1.07398 + 0.780290i 0.976623 0.214960i \(-0.0689621\pi\)
0.0973541 + 0.995250i \(0.468962\pi\)
\(524\) 15.9990 + 3.40069i 0.698918 + 0.148560i
\(525\) −2.04050 + 6.28002i −0.0890548 + 0.274082i
\(526\) −7.29764 −0.318192
\(527\) −30.7386 7.13217i −1.33899 0.310682i
\(528\) 4.46920 0.194497
\(529\) −3.22490 + 9.92522i −0.140213 + 0.431531i
\(530\) −28.3255 6.02077i −1.23038 0.261526i
\(531\) −4.85466 3.52712i −0.210674 0.153064i
\(532\) 3.82141 + 6.61888i 0.165679 + 0.286965i
\(533\) −12.2330 + 21.1883i −0.529872 + 0.917765i
\(534\) 2.28035 1.01528i 0.0986805 0.0439354i
\(535\) −11.3065 + 8.21462i −0.488821 + 0.355149i
\(536\) 2.81043 + 1.25128i 0.121392 + 0.0540472i
\(537\) 1.93612 0.411535i 0.0835497 0.0177590i
\(538\) 2.46627 23.4650i 0.106329 1.01165i
\(539\) −8.61574 9.56875i −0.371106 0.412155i
\(540\) −3.30186 + 3.66709i −0.142090 + 0.157806i
\(541\) 2.83282 + 26.9525i 0.121793 + 1.15878i 0.869216 + 0.494432i \(0.164624\pi\)
−0.747424 + 0.664347i \(0.768710\pi\)
\(542\) 1.89969 + 5.84664i 0.0815986 + 0.251135i
\(543\) 0.987180 + 3.03823i 0.0423639 + 0.130383i
\(544\) 4.01976 + 38.2454i 0.172346 + 1.63976i
\(545\) 1.12562 1.25013i 0.0482162 0.0535495i
\(546\) 11.9649 + 13.2883i 0.512048 + 0.568687i
\(547\) −3.43508 + 32.6826i −0.146873 + 1.39741i 0.634298 + 0.773089i \(0.281289\pi\)
−0.781171 + 0.624317i \(0.785377\pi\)
\(548\) 21.9791 4.67180i 0.938900 0.199569i
\(549\) 6.73661 + 2.99933i 0.287511 + 0.128008i
\(550\) 9.84368 7.15186i 0.419736 0.304956i
\(551\) −1.80377 + 0.803089i −0.0768431 + 0.0342127i
\(552\) 0.944367 1.63569i 0.0401949 0.0696197i
\(553\) −20.9642 36.3111i −0.891489 1.54410i
\(554\) 31.4588 + 22.8561i 1.33655 + 0.971064i
\(555\) −2.65543 0.564429i −0.112717 0.0239587i
\(556\) −4.48982 + 13.8183i −0.190411 + 0.586025i
\(557\) −3.79343 −0.160733 −0.0803663 0.996765i \(-0.525609\pi\)
−0.0803663 + 0.996765i \(0.525609\pi\)
\(558\) 13.7102 + 24.7981i 0.580400 + 1.04979i
\(559\) −34.0061 −1.43830
\(560\) −6.71438 + 20.6647i −0.283734 + 0.873245i
\(561\) −5.13926 1.09238i −0.216980 0.0461204i
\(562\) −14.0207 10.1867i −0.591429 0.429698i
\(563\) 4.48909 + 7.77534i 0.189193 + 0.327691i 0.944981 0.327124i \(-0.106080\pi\)
−0.755789 + 0.654816i \(0.772746\pi\)
\(564\) 1.50279 2.60291i 0.0632789 0.109602i
\(565\) −3.59082 + 1.59874i −0.151067 + 0.0672593i
\(566\) −15.1678 + 11.0200i −0.637549 + 0.463206i
\(567\) 23.2514 + 10.3522i 0.976467 + 0.434751i
\(568\) −9.39558 + 1.99709i −0.394230 + 0.0837961i
\(569\) −0.992559 + 9.44356i −0.0416102 + 0.395895i 0.953818 + 0.300384i \(0.0971150\pi\)
−0.995428 + 0.0955104i \(0.969552\pi\)
\(570\) 1.07370 + 1.19246i 0.0449723 + 0.0499468i
\(571\) 4.28803 4.76234i 0.179449 0.199298i −0.646709 0.762737i \(-0.723855\pi\)
0.826158 + 0.563439i \(0.190522\pi\)
\(572\) −1.43193 13.6239i −0.0598719 0.569644i
\(573\) 1.79394 + 5.52118i 0.0749429 + 0.230651i
\(574\) 10.0722 + 30.9991i 0.420407 + 1.29388i
\(575\) −1.31245 12.4871i −0.0547328 0.520748i
\(576\) 5.36093 5.95391i 0.223372 0.248080i
\(577\) 5.26953 + 5.85240i 0.219373 + 0.243639i 0.842779 0.538260i \(-0.180918\pi\)
−0.623406 + 0.781899i \(0.714251\pi\)
\(578\) 2.92425 27.8224i 0.121633 1.15726i
\(579\) −6.61523 + 1.40611i −0.274920 + 0.0584360i
\(580\) 2.15475 + 0.959358i 0.0894712 + 0.0398352i
\(581\) 31.6428 22.9899i 1.31277 0.953781i
\(582\) 6.99982 3.11652i 0.290152 0.129184i
\(583\) −12.0332 + 20.8422i −0.498366 + 0.863196i
\(584\) 2.24303 + 3.88505i 0.0928174 + 0.160764i
\(585\) −13.9294 10.1203i −0.575912 0.418424i
\(586\) −38.4941 8.18217i −1.59018 0.338002i
\(587\) 14.2389 43.8227i 0.587701 1.80876i −0.000443412 1.00000i \(-0.500141\pi\)
0.588144 0.808756i \(-0.299859\pi\)
\(588\) 4.92922 0.203278
\(589\) 7.37590 3.12132i 0.303919 0.128612i
\(590\) 4.87331 0.200631
\(591\) 3.61149 11.1150i 0.148557 0.457211i
\(592\) 21.2330 + 4.51322i 0.872672 + 0.185492i
\(593\) −6.95156 5.05060i −0.285466 0.207403i 0.435832 0.900028i \(-0.356454\pi\)
−0.721298 + 0.692625i \(0.756454\pi\)
\(594\) 4.93188 + 8.54227i 0.202358 + 0.350494i
\(595\) 12.7720 22.1218i 0.523602 0.906905i
\(596\) 4.96769 2.21176i 0.203485 0.0905971i
\(597\) −2.66549 + 1.93659i −0.109091 + 0.0792594i
\(598\) −31.0612 13.8294i −1.27019 0.565524i
\(599\) 24.8519 5.28244i 1.01542 0.215835i 0.330000 0.943981i \(-0.392951\pi\)
0.685422 + 0.728146i \(0.259618\pi\)
\(600\) 0.197299 1.87717i 0.00805468 0.0766352i
\(601\) −16.8390 18.7016i −0.686878 0.762855i 0.294352 0.955697i \(-0.404896\pi\)
−0.981230 + 0.192842i \(0.938230\pi\)
\(602\) −30.3142 + 33.6673i −1.23551 + 1.37218i
\(603\) 0.828922 + 7.88667i 0.0337563 + 0.321170i
\(604\) −3.90007 12.0032i −0.158692 0.488403i
\(605\) −2.81813 8.67330i −0.114573 0.352620i
\(606\) 0.154369 + 1.46873i 0.00627082 + 0.0596629i
\(607\) 6.28113 6.97590i 0.254943 0.283143i −0.602064 0.798448i \(-0.705655\pi\)
0.857007 + 0.515305i \(0.172321\pi\)
\(608\) −6.53118 7.25361i −0.264874 0.294173i
\(609\) −0.267455 + 2.54467i −0.0108378 + 0.103115i
\(610\) −5.85785 + 1.24512i −0.237177 + 0.0504136i
\(611\) 20.0294 + 8.91768i 0.810304 + 0.360771i
\(612\) −17.9501 + 13.0415i −0.725590 + 0.527172i
\(613\) 10.4929 4.67176i 0.423806 0.188691i −0.183740 0.982975i \(-0.558821\pi\)
0.607546 + 0.794284i \(0.292154\pi\)
\(614\) 15.0248 26.0237i 0.606352 1.05023i
\(615\) 1.42258 + 2.46398i 0.0573639 + 0.0993572i
\(616\) 5.98295 + 4.34687i 0.241060 + 0.175140i
\(617\) 2.20415 + 0.468506i 0.0887357 + 0.0188613i 0.252066 0.967710i \(-0.418890\pi\)
−0.163330 + 0.986572i \(0.552223\pi\)
\(618\) −5.22695 + 16.0869i −0.210259 + 0.647110i
\(619\) 23.6684 0.951314 0.475657 0.879631i \(-0.342210\pi\)
0.475657 + 0.879631i \(0.342210\pi\)
\(620\) −8.66675 4.05298i −0.348065 0.162771i
\(621\) 10.1786 0.408455
\(622\) 5.93803 18.2754i 0.238093 0.732776i
\(623\) 9.86529 + 2.09693i 0.395245 + 0.0840118i
\(624\) −10.0970 7.33594i −0.404205 0.293672i
\(625\) −2.62956 4.55454i −0.105183 0.182182i
\(626\) 29.6437 51.3444i 1.18480 2.05214i
\(627\) 1.21827 0.542407i 0.0486528 0.0216616i
\(628\) 5.96115 4.33103i 0.237876 0.172827i
\(629\) −23.3133 10.3798i −0.929562 0.413868i
\(630\) −22.4367 + 4.76907i −0.893900 + 0.190004i
\(631\) 3.62734 34.5119i 0.144402 1.37390i −0.646949 0.762534i \(-0.723955\pi\)
0.791351 0.611362i \(-0.209378\pi\)
\(632\) 8.01963 + 8.90670i 0.319004 + 0.354290i
\(633\) −6.47052 + 7.18624i −0.257180 + 0.285627i
\(634\) 4.89584 + 46.5808i 0.194439 + 1.84996i
\(635\) 3.57852 + 11.0136i 0.142009 + 0.437059i
\(636\) −2.84703 8.76226i −0.112892 0.347446i
\(637\) 3.75858 + 35.7605i 0.148920 + 1.41688i
\(638\) 3.15481 3.50377i 0.124900 0.138716i
\(639\) −16.5679 18.4005i −0.655415 0.727912i
\(640\) 1.03256 9.82418i 0.0408156 0.388335i
\(641\) −25.8160 + 5.48736i −1.01967 + 0.216738i −0.687271 0.726401i \(-0.741192\pi\)
−0.332400 + 0.943139i \(0.607858\pi\)
\(642\) −9.76991 4.34984i −0.385588 0.171675i
\(643\) −9.33144 + 6.77969i −0.367996 + 0.267365i −0.756379 0.654133i \(-0.773034\pi\)
0.388383 + 0.921498i \(0.373034\pi\)
\(644\) −17.2045 + 7.65994i −0.677953 + 0.301844i
\(645\) −1.97728 + 3.42475i −0.0778554 + 0.134849i
\(646\) 7.54198 + 13.0631i 0.296735 + 0.513961i
\(647\) −34.8256 25.3023i −1.36914 0.994736i −0.997804 0.0662355i \(-0.978901\pi\)
−0.371332 0.928500i \(-0.621099\pi\)
\(648\) −7.11637 1.51263i −0.279557 0.0594217i
\(649\) 1.25154 3.85186i 0.0491274 0.151199i
\(650\) −33.9787 −1.33276
\(651\) 1.27620 10.3002i 0.0500182 0.403696i
\(652\) 0.788169 0.0308671
\(653\) −14.7595 + 45.4249i −0.577582 + 1.77762i 0.0496311 + 0.998768i \(0.484195\pi\)
−0.627213 + 0.778848i \(0.715805\pi\)
\(654\) 1.25915 + 0.267640i 0.0492365 + 0.0104655i
\(655\) 11.2253 + 8.15565i 0.438608 + 0.318668i
\(656\) −11.3751 19.7022i −0.444121 0.769241i
\(657\) −5.78193 + 10.0146i −0.225574 + 0.390706i
\(658\) 26.6838 11.8804i 1.04024 0.463146i
\(659\) 18.4987 13.4401i 0.720607 0.523552i −0.165971 0.986131i \(-0.553076\pi\)
0.886578 + 0.462579i \(0.153076\pi\)
\(660\) −1.45532 0.647951i −0.0566483 0.0252214i
\(661\) 19.4694 4.13835i 0.757273 0.160963i 0.186933 0.982373i \(-0.440145\pi\)
0.570339 + 0.821409i \(0.306812\pi\)
\(662\) −6.36581 + 60.5666i −0.247414 + 2.35399i
\(663\) 9.81779 + 10.9038i 0.381291 + 0.423467i
\(664\) −7.48107 + 8.30857i −0.290322 + 0.322435i
\(665\) 0.677705 + 6.44793i 0.0262803 + 0.250040i
\(666\) 7.08143 + 21.7944i 0.274400 + 0.844516i
\(667\) −1.50346 4.62717i −0.0582141 0.179165i
\(668\) −0.297246 2.82811i −0.0115008 0.109423i
\(669\) 2.35889 2.61981i 0.0911998 0.101288i
\(670\) −4.30936 4.78603i −0.166485 0.184901i
\(671\) −0.520245 + 4.94980i −0.0200838 + 0.191085i
\(672\) −12.3723 + 2.62982i −0.477273 + 0.101448i
\(673\) 15.9204 + 7.08821i 0.613686 + 0.273230i 0.689950 0.723857i \(-0.257633\pi\)
−0.0762642 + 0.997088i \(0.524299\pi\)
\(674\) 5.91359 4.29648i 0.227783 0.165494i
\(675\) 9.29262 4.13734i 0.357673 0.159246i
\(676\) −9.87655 + 17.1067i −0.379867 + 0.657949i
\(677\) −15.9129 27.5619i −0.611581 1.05929i −0.990974 0.134054i \(-0.957200\pi\)
0.379393 0.925236i \(-0.376133\pi\)
\(678\) −2.43340 1.76797i −0.0934540 0.0678983i
\(679\) 30.2827 + 6.43679i 1.16214 + 0.247021i
\(680\) −2.25635 + 6.94434i −0.0865272 + 0.266303i
\(681\) −4.50408 −0.172597
\(682\) −13.0585 + 13.9727i −0.500035 + 0.535042i
\(683\) 19.9935 0.765031 0.382515 0.923949i \(-0.375058\pi\)
0.382515 + 0.923949i \(0.375058\pi\)
\(684\) 1.74023 5.35589i 0.0665395 0.204788i
\(685\) 18.6450 + 3.96311i 0.712387 + 0.151423i
\(686\) −0.359828 0.261431i −0.0137383 0.00998147i
\(687\) −4.48266 7.76420i −0.171024 0.296223i
\(688\) 15.8105 27.3846i 0.602770 1.04403i
\(689\) 61.3974 27.3359i 2.33906 1.04141i
\(690\) −3.19881 + 2.32407i −0.121777 + 0.0884758i
\(691\) −13.0267 5.79988i −0.495561 0.220638i 0.143710 0.989620i \(-0.454097\pi\)
−0.639270 + 0.768982i \(0.720764\pi\)
\(692\) 5.64883 1.20070i 0.214736 0.0456436i
\(693\) −1.99264 + 18.9587i −0.0756942 + 0.720182i
\(694\) 16.9417 + 18.8157i 0.643100 + 0.714235i
\(695\) −8.24726 + 9.15952i −0.312837 + 0.347440i
\(696\) −0.0764515 0.727388i −0.00289789 0.0275716i
\(697\) 8.26480 + 25.4364i 0.313052 + 0.963473i
\(698\) 2.11826 + 6.51934i 0.0801773 + 0.246760i
\(699\) −0.712344 6.77750i −0.0269433 0.256349i
\(700\) −12.5934 + 13.9863i −0.475984 + 0.528634i
\(701\) −31.1448 34.5898i −1.17632 1.30644i −0.942519 0.334153i \(-0.891550\pi\)
−0.233802 0.972284i \(-0.575117\pi\)
\(702\) 2.87928 27.3946i 0.108672 1.03394i
\(703\) 6.33569 1.34669i 0.238955 0.0507915i
\(704\) 4.93994 + 2.19940i 0.186181 + 0.0828932i
\(705\) 2.06271 1.49865i 0.0776861 0.0564423i
\(706\) 26.1844 11.6581i 0.985464 0.438757i
\(707\) −2.98353 + 5.16762i −0.112207 + 0.194348i
\(708\) 0.775231 + 1.34274i 0.0291350 + 0.0504632i
\(709\) −17.9815 13.0643i −0.675309 0.490640i 0.196489 0.980506i \(-0.437046\pi\)
−0.871798 + 0.489866i \(0.837046\pi\)
\(710\) 19.6690 + 4.18078i 0.738166 + 0.156902i
\(711\) −9.54690 + 29.3823i −0.358037 + 1.10192i
\(712\) −2.88297 −0.108044
\(713\) 5.74931 + 18.8793i 0.215313 + 0.707037i
\(714\) 19.5471 0.731531
\(715\) 3.59105 11.0521i 0.134298 0.413326i
\(716\) 5.51834 + 1.17296i 0.206230 + 0.0438355i
\(717\) 3.97976 + 2.89147i 0.148627 + 0.107984i
\(718\) −4.96722 8.60348i −0.185375 0.321079i
\(719\) −22.0457 + 38.1842i −0.822165 + 1.42403i 0.0819018 + 0.996640i \(0.473901\pi\)
−0.904067 + 0.427391i \(0.859433\pi\)
\(720\) 14.6260 6.51191i 0.545079 0.242685i
\(721\) −55.2914 + 40.1716i −2.05916 + 1.49607i
\(722\) 28.6172 + 12.7412i 1.06502 + 0.474178i
\(723\) 3.25782 0.692471i 0.121160 0.0257533i
\(724\) −0.951754 + 9.05533i −0.0353717 + 0.336539i
\(725\) −3.25341 3.61327i −0.120828 0.134194i
\(726\) 4.66961 5.18613i 0.173306 0.192475i
\(727\) −4.07768 38.7965i −0.151233 1.43888i −0.762258 0.647273i \(-0.775909\pi\)
0.611025 0.791611i \(-0.290757\pi\)
\(728\) −6.38186 19.6414i −0.236528 0.727957i
\(729\) −4.46591 13.7447i −0.165404 0.509062i
\(730\) −0.981658 9.33985i −0.0363328 0.345683i
\(731\) −24.8744 + 27.6258i −0.920013 + 1.02178i
\(732\) −1.27492 1.41594i −0.0471222 0.0523345i
\(733\) −0.711951 + 6.77377i −0.0262965 + 0.250195i 0.973474 + 0.228796i \(0.0734787\pi\)
−0.999771 + 0.0213991i \(0.993188\pi\)
\(734\) −26.6415 + 5.66283i −0.983356 + 0.209019i
\(735\) 3.81998 + 1.70076i 0.140902 + 0.0627336i
\(736\) 19.4580 14.1370i 0.717230 0.521098i
\(737\) −4.88958 + 2.17698i −0.180110 + 0.0801902i
\(738\) 12.0084 20.7991i 0.442035 0.765627i
\(739\) 16.6002 + 28.7524i 0.610649 + 1.05767i 0.991131 + 0.132887i \(0.0424246\pi\)
−0.380482 + 0.924788i \(0.624242\pi\)
\(740\) −6.25985 4.54805i −0.230117 0.167190i
\(741\) −3.64270 0.774280i −0.133818 0.0284439i
\(742\) 27.6682 85.1540i 1.01573 3.12610i
\(743\) 22.5011 0.825484 0.412742 0.910848i \(-0.364571\pi\)
0.412742 + 0.910848i \(0.364571\pi\)
\(744\) 0.255324 + 2.95579i 0.00936063 + 0.108364i
\(745\) 4.61293 0.169005
\(746\) −13.6332 + 41.9586i −0.499146 + 1.53621i
\(747\) −28.1899 5.99195i −1.03142 0.219234i
\(748\) −12.1152 8.80219i −0.442975 0.321840i
\(749\) −21.6055 37.4218i −0.789448 1.36736i
\(750\) −4.76442 + 8.25222i −0.173972 + 0.301328i
\(751\) 5.85996 2.60902i 0.213833 0.0952046i −0.297025 0.954870i \(-0.595994\pi\)
0.510858 + 0.859665i \(0.329328\pi\)
\(752\) −16.4936 + 11.9833i −0.601460 + 0.436986i
\(753\) −13.3744 5.95465i −0.487389 0.216999i
\(754\) −12.8787 + 2.73746i −0.469016 + 0.0996925i
\(755\) 1.11912 10.6477i 0.0407290 0.387510i
\(756\) −10.2090 11.3383i −0.371299 0.412369i
\(757\) −17.3130 + 19.2280i −0.629252 + 0.698855i −0.970495 0.241120i \(-0.922485\pi\)
0.341244 + 0.939975i \(0.389152\pi\)
\(758\) −4.27936 40.7154i −0.155433 1.47885i
\(759\) 1.01544 + 3.12519i 0.0368580 + 0.113437i
\(760\) −0.572695 1.76257i −0.0207738 0.0639352i
\(761\) 4.67583 + 44.4875i 0.169499 + 1.61267i 0.666897 + 0.745150i \(0.267622\pi\)
−0.497398 + 0.867522i \(0.665711\pi\)
\(762\) −5.92958 + 6.58546i −0.214806 + 0.238566i
\(763\) 3.48030 + 3.86526i 0.125995 + 0.139932i
\(764\) −1.72956 + 16.4557i −0.0625734 + 0.595346i
\(765\) −18.4105 + 3.91328i −0.665634 + 0.141485i