Properties

Label 588.2.x.a.55.10
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
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.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.10
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.712285 - 1.22174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.985301 + 1.74045i) q^{4} +(1.07827 - 2.23906i) q^{5} +(0.111653 + 1.40980i) q^{6} +(-2.56980 - 0.629382i) q^{7} +(2.82820 - 0.0359170i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.712285 - 1.22174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.985301 + 1.74045i) q^{4} +(1.07827 - 2.23906i) q^{5} +(0.111653 + 1.40980i) q^{6} +(-2.56980 - 0.629382i) q^{7} +(2.82820 - 0.0359170i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-3.50359 + 0.277476i) q^{10} +(1.52083 + 1.21283i) q^{11} +(1.64288 - 1.14059i) q^{12} +(-3.11300 - 2.48254i) q^{13} +(1.06149 + 3.58793i) q^{14} +(-1.94298 + 1.54948i) q^{15} +(-2.05836 - 3.42974i) q^{16} +(-6.88695 - 1.57190i) q^{17} +(0.511093 - 1.31863i) q^{18} +0.903503 q^{19} +(2.83455 + 4.08283i) q^{20} +(2.04223 + 1.68205i) q^{21} +(0.398491 - 2.72194i) q^{22} +(2.37795 - 0.542752i) q^{23} +(-2.56370 - 1.19475i) q^{24} +(-0.733256 - 0.919474i) q^{25} +(-0.815672 + 5.57156i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(3.62744 - 3.85249i) q^{28} +(-0.897561 + 3.93247i) q^{29} +(3.27701 + 1.27015i) q^{30} -6.12089 q^{31} +(-2.72412 + 4.95774i) q^{32} +(-0.844000 - 1.75258i) q^{33} +(2.98501 + 9.53371i) q^{34} +(-4.18017 + 5.07529i) q^{35} +(-1.97507 + 0.314816i) q^{36} +(-0.235480 + 1.03171i) q^{37} +(-0.643552 - 1.10385i) q^{38} +(1.72759 + 3.58737i) q^{39} +(2.96915 - 6.37123i) q^{40} +(-4.84104 + 10.0525i) q^{41} +(0.600377 - 3.69318i) q^{42} +(-1.03831 - 2.15607i) q^{43} +(-3.60935 + 1.45195i) q^{44} +(2.42286 - 0.553002i) q^{45} +(-2.35688 - 2.51865i) q^{46} +(-1.73095 + 2.17054i) q^{47} +(0.366412 + 3.98318i) q^{48} +(6.20776 + 3.23477i) q^{49} +(-0.601072 + 1.55078i) q^{50} +(5.52290 + 4.40437i) q^{51} +(7.38799 - 2.97200i) q^{52} +(-1.09378 - 4.79217i) q^{53} +(-1.03261 + 0.966289i) q^{54} +(4.35546 - 2.09748i) q^{55} +(-7.29051 - 1.68772i) q^{56} +(-0.814028 - 0.392015i) q^{57} +(5.44378 - 1.70445i) q^{58} +(-3.03802 + 1.46303i) q^{59} +(-0.782371 - 4.90837i) q^{60} +(-6.43883 - 1.46962i) q^{61} +(4.35982 + 7.47814i) q^{62} +(-1.11017 - 2.40156i) q^{63} +(7.99742 - 0.203161i) q^{64} +(-8.91521 + 4.29334i) q^{65} +(-1.54003 + 2.27949i) q^{66} +5.78844i q^{67} +(9.52154 - 10.4376i) q^{68} +(-2.37795 - 0.542752i) q^{69} +(9.17816 + 1.49204i) q^{70} +(-0.509726 + 0.116342i) q^{71} +(1.79143 + 2.18878i) q^{72} +(-6.52902 + 5.20672i) q^{73} +(1.42821 - 0.447173i) q^{74} +(0.261696 + 1.14657i) q^{75} +(-0.890223 + 1.57251i) q^{76} +(-3.14491 - 4.07391i) q^{77} +(3.15230 - 4.66589i) q^{78} -13.7207i q^{79} +(-9.89887 + 0.910596i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(15.7298 - 1.24576i) q^{82} +(8.67672 + 10.8803i) q^{83} +(-4.93974 + 1.89709i) q^{84} +(-10.9456 + 13.7253i) q^{85} +(-1.89459 + 2.80428i) q^{86} +(2.51491 - 3.15360i) q^{87} +(4.34479 + 3.37549i) q^{88} +(10.0483 - 8.01329i) q^{89} +(-2.40139 - 2.56621i) q^{90} +(6.43734 + 8.33890i) q^{91} +(-1.39836 + 4.67349i) q^{92} +(5.51473 + 2.65576i) q^{93} +(3.88477 + 0.568727i) q^{94} +(0.974223 - 2.02300i) q^{95} +(4.60543 - 3.28482i) q^{96} -17.0403i q^{97} +(-0.469635 - 9.88835i) q^{98} +1.94522i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.712285 1.22174i −0.503661 0.863901i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −0.985301 + 1.74045i −0.492650 + 0.870227i
\(5\) 1.07827 2.23906i 0.482218 1.00134i −0.507941 0.861392i \(-0.669593\pi\)
0.990159 0.139945i \(-0.0446926\pi\)
\(6\) 0.111653 + 1.40980i 0.0455821 + 0.575548i
\(7\) −2.56980 0.629382i −0.971294 0.237884i
\(8\) 2.82820 0.0359170i 0.999919 0.0126986i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −3.50359 + 0.277476i −1.10793 + 0.0877456i
\(11\) 1.52083 + 1.21283i 0.458549 + 0.365681i 0.825352 0.564618i \(-0.190976\pi\)
−0.366803 + 0.930298i \(0.619548\pi\)
\(12\) 1.64288 1.14059i 0.474259 0.329260i
\(13\) −3.11300 2.48254i −0.863392 0.688532i 0.0881314 0.996109i \(-0.471910\pi\)
−0.951523 + 0.307577i \(0.900482\pi\)
\(14\) 1.06149 + 3.58793i 0.283695 + 0.958915i
\(15\) −1.94298 + 1.54948i −0.501676 + 0.400073i
\(16\) −2.05836 3.42974i −0.514591 0.857436i
\(17\) −6.88695 1.57190i −1.67033 0.381242i −0.720364 0.693596i \(-0.756025\pi\)
−0.949966 + 0.312354i \(0.898883\pi\)
\(18\) 0.511093 1.31863i 0.120466 0.310804i
\(19\) 0.903503 0.207278 0.103639 0.994615i \(-0.466951\pi\)
0.103639 + 0.994615i \(0.466951\pi\)
\(20\) 2.83455 + 4.08283i 0.633826 + 0.912949i
\(21\) 2.04223 + 1.68205i 0.445652 + 0.367053i
\(22\) 0.398491 2.72194i 0.0849585 0.580320i
\(23\) 2.37795 0.542752i 0.495837 0.113172i 0.0327127 0.999465i \(-0.489585\pi\)
0.463125 + 0.886293i \(0.346728\pi\)
\(24\) −2.56370 1.19475i −0.523314 0.243877i
\(25\) −0.733256 0.919474i −0.146651 0.183895i
\(26\) −0.815672 + 5.57156i −0.159967 + 1.09267i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 3.62744 3.85249i 0.685521 0.728052i
\(29\) −0.897561 + 3.93247i −0.166673 + 0.730242i 0.820639 + 0.571447i \(0.193618\pi\)
−0.987312 + 0.158794i \(0.949239\pi\)
\(30\) 3.27701 + 1.27015i 0.598298 + 0.231897i
\(31\) −6.12089 −1.09934 −0.549672 0.835380i \(-0.685247\pi\)
−0.549672 + 0.835380i \(0.685247\pi\)
\(32\) −2.72412 + 4.95774i −0.481560 + 0.876413i
\(33\) −0.844000 1.75258i −0.146921 0.305086i
\(34\) 2.98501 + 9.53371i 0.511925 + 1.63502i
\(35\) −4.18017 + 5.07529i −0.706578 + 0.857880i
\(36\) −1.97507 + 0.314816i −0.329178 + 0.0524694i
\(37\) −0.235480 + 1.03171i −0.0387127 + 0.169611i −0.990589 0.136872i \(-0.956295\pi\)
0.951876 + 0.306483i \(0.0991523\pi\)
\(38\) −0.643552 1.10385i −0.104398 0.179068i
\(39\) 1.72759 + 3.58737i 0.276635 + 0.574439i
\(40\) 2.96915 6.37123i 0.469464 1.00738i
\(41\) −4.84104 + 10.0525i −0.756044 + 1.56994i 0.0642061 + 0.997937i \(0.479548\pi\)
−0.820250 + 0.572005i \(0.806166\pi\)
\(42\) 0.600377 3.69318i 0.0926401 0.569869i
\(43\) −1.03831 2.15607i −0.158341 0.328798i 0.806673 0.590999i \(-0.201266\pi\)
−0.965013 + 0.262200i \(0.915552\pi\)
\(44\) −3.60935 + 1.45195i −0.544130 + 0.218889i
\(45\) 2.42286 0.553002i 0.361178 0.0824366i
\(46\) −2.35688 2.51865i −0.347503 0.371354i
\(47\) −1.73095 + 2.17054i −0.252485 + 0.316606i −0.891880 0.452272i \(-0.850613\pi\)
0.639395 + 0.768878i \(0.279185\pi\)
\(48\) 0.366412 + 3.98318i 0.0528871 + 0.574923i
\(49\) 6.20776 + 3.23477i 0.886822 + 0.462111i
\(50\) −0.601072 + 1.55078i −0.0850044 + 0.219313i
\(51\) 5.52290 + 4.40437i 0.773361 + 0.616735i
\(52\) 7.38799 2.97200i 1.02453 0.412142i
\(53\) −1.09378 4.79217i −0.150242 0.658255i −0.992814 0.119670i \(-0.961816\pi\)
0.842571 0.538585i \(-0.181041\pi\)
\(54\) −1.03261 + 0.966289i −0.140521 + 0.131495i
\(55\) 4.35546 2.09748i 0.587290 0.282824i
\(56\) −7.29051 1.68772i −0.974236 0.225531i
\(57\) −0.814028 0.392015i −0.107821 0.0519237i
\(58\) 5.44378 1.70445i 0.714803 0.223806i
\(59\) −3.03802 + 1.46303i −0.395517 + 0.190471i −0.621061 0.783762i \(-0.713298\pi\)
0.225545 + 0.974233i \(0.427584\pi\)
\(60\) −0.782371 4.90837i −0.101004 0.633668i
\(61\) −6.43883 1.46962i −0.824408 0.188166i −0.210551 0.977583i \(-0.567526\pi\)
−0.613857 + 0.789417i \(0.710383\pi\)
\(62\) 4.35982 + 7.47814i 0.553698 + 0.949725i
\(63\) −1.11017 2.40156i −0.139869 0.302569i
\(64\) 7.99742 0.203161i 0.999677 0.0253951i
\(65\) −8.91521 + 4.29334i −1.10580 + 0.532523i
\(66\) −1.54003 + 2.27949i −0.189565 + 0.280585i
\(67\) 5.78844i 0.707171i 0.935402 + 0.353586i \(0.115038\pi\)
−0.935402 + 0.353586i \(0.884962\pi\)
\(68\) 9.52154 10.4376i 1.15466 1.26575i
\(69\) −2.37795 0.542752i −0.286272 0.0653397i
\(70\) 9.17816 + 1.49204i 1.09700 + 0.178332i
\(71\) −0.509726 + 0.116342i −0.0604934 + 0.0138072i −0.252660 0.967555i \(-0.581306\pi\)
0.192167 + 0.981362i \(0.438448\pi\)
\(72\) 1.79143 + 2.18878i 0.211123 + 0.257950i
\(73\) −6.52902 + 5.20672i −0.764164 + 0.609400i −0.926046 0.377410i \(-0.876815\pi\)
0.161883 + 0.986810i \(0.448243\pi\)
\(74\) 1.42821 0.447173i 0.166026 0.0519828i
\(75\) 0.261696 + 1.14657i 0.0302181 + 0.132394i
\(76\) −0.890223 + 1.57251i −0.102116 + 0.180379i
\(77\) −3.14491 4.07391i −0.358396 0.464265i
\(78\) 3.15230 4.66589i 0.356928 0.528308i
\(79\) 13.7207i 1.54370i −0.635804 0.771850i \(-0.719332\pi\)
0.635804 0.771850i \(-0.280668\pi\)
\(80\) −9.89887 + 0.910596i −1.10673 + 0.101808i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 15.7298 1.24576i 1.73706 0.137572i
\(83\) 8.67672 + 10.8803i 0.952394 + 1.19426i 0.980869 + 0.194670i \(0.0623635\pi\)
−0.0284748 + 0.999595i \(0.509065\pi\)
\(84\) −4.93974 + 1.89709i −0.538970 + 0.206989i
\(85\) −10.9456 + 13.7253i −1.18722 + 1.48872i
\(86\) −1.89459 + 2.80428i −0.204299 + 0.302394i
\(87\) 2.51491 3.15360i 0.269627 0.338101i
\(88\) 4.34479 + 3.37549i 0.463156 + 0.359828i
\(89\) 10.0483 8.01329i 1.06512 0.849407i 0.0760892 0.997101i \(-0.475757\pi\)
0.989033 + 0.147694i \(0.0471852\pi\)
\(90\) −2.40139 2.56621i −0.253129 0.270502i
\(91\) 6.43734 + 8.33890i 0.674816 + 0.874154i
\(92\) −1.39836 + 4.67349i −0.145789 + 0.487245i
\(93\) 5.51473 + 2.65576i 0.571851 + 0.275389i
\(94\) 3.88477 + 0.568727i 0.400683 + 0.0586597i
\(95\) 0.974223 2.02300i 0.0999532 0.207555i
\(96\) 4.60543 3.28482i 0.470039 0.335256i
\(97\) 17.0403i 1.73018i −0.501619 0.865089i \(-0.667262\pi\)
0.501619 0.865089i \(-0.332738\pi\)
\(98\) −0.469635 9.88835i −0.0474403 0.998874i
\(99\) 1.94522i 0.195502i
\(100\) 2.32278 0.370240i 0.232278 0.0370240i
\(101\) 5.37471 11.1607i 0.534804 1.11053i −0.442122 0.896955i \(-0.645774\pi\)
0.976926 0.213577i \(-0.0685115\pi\)
\(102\) 1.44712 9.88472i 0.143286 0.978733i
\(103\) −13.9801 6.73248i −1.37750 0.663371i −0.409038 0.912517i \(-0.634136\pi\)
−0.968466 + 0.249147i \(0.919850\pi\)
\(104\) −8.89336 6.90930i −0.872066 0.677513i
\(105\) 5.96829 2.75897i 0.582445 0.269248i
\(106\) −5.07570 + 4.74970i −0.492996 + 0.461332i
\(107\) −1.33396 + 1.06380i −0.128959 + 0.102841i −0.685845 0.727748i \(-0.740567\pi\)
0.556886 + 0.830589i \(0.311996\pi\)
\(108\) 1.91607 + 0.573310i 0.184374 + 0.0551668i
\(109\) 3.06589 3.84450i 0.293659 0.368236i −0.613013 0.790073i \(-0.710043\pi\)
0.906672 + 0.421836i \(0.138614\pi\)
\(110\) −5.66491 3.82724i −0.540128 0.364913i
\(111\) 0.659801 0.827364i 0.0626255 0.0785299i
\(112\) 3.13097 + 10.1093i 0.295849 + 0.955235i
\(113\) −8.80202 11.0374i −0.828025 1.03831i −0.998596 0.0529649i \(-0.983133\pi\)
0.170572 0.985345i \(-0.445439\pi\)
\(114\) 0.100879 + 1.27376i 0.00944816 + 0.119298i
\(115\) 1.34883 5.90961i 0.125779 0.551074i
\(116\) −5.95992 5.43683i −0.553365 0.504797i
\(117\) 3.98168i 0.368107i
\(118\) 3.95138 + 2.66958i 0.363754 + 0.245754i
\(119\) 16.7088 + 8.37400i 1.53169 + 0.767643i
\(120\) −5.43949 + 4.45201i −0.496555 + 0.406411i
\(121\) −1.60574 7.03519i −0.145976 0.639563i
\(122\) 2.79078 + 8.91337i 0.252666 + 0.806978i
\(123\) 8.72326 6.95657i 0.786550 0.627253i
\(124\) 6.03092 10.6531i 0.541593 0.956680i
\(125\) 9.26488 2.11465i 0.828676 0.189140i
\(126\) −2.14333 + 3.06694i −0.190943 + 0.273225i
\(127\) −8.49109 1.93803i −0.753462 0.171973i −0.171495 0.985185i \(-0.554860\pi\)
−0.581967 + 0.813212i \(0.697717\pi\)
\(128\) −5.94465 9.62607i −0.525438 0.850832i
\(129\) 2.39306i 0.210697i
\(130\) 11.5955 + 7.83400i 1.01699 + 0.687087i
\(131\) −12.2003 + 5.87534i −1.06594 + 0.513331i −0.882797 0.469755i \(-0.844342\pi\)
−0.183146 + 0.983086i \(0.558628\pi\)
\(132\) 3.88189 + 0.257879i 0.337875 + 0.0224455i
\(133\) −2.32182 0.568649i −0.201328 0.0493081i
\(134\) 7.07198 4.12302i 0.610926 0.356175i
\(135\) −2.42286 0.553002i −0.208526 0.0475948i
\(136\) −19.5341 4.19829i −1.67504 0.360000i
\(137\) 1.67954 0.808824i 0.143493 0.0691025i −0.360759 0.932659i \(-0.617482\pi\)
0.504252 + 0.863556i \(0.331768\pi\)
\(138\) 1.03068 + 3.29184i 0.0877370 + 0.280220i
\(139\) −12.8283 6.17777i −1.08808 0.523992i −0.198188 0.980164i \(-0.563506\pi\)
−0.889891 + 0.456172i \(0.849220\pi\)
\(140\) −4.71458 12.2761i −0.398455 1.03752i
\(141\) 2.50129 1.20456i 0.210647 0.101442i
\(142\) 0.505209 + 0.539885i 0.0423962 + 0.0453061i
\(143\) −1.72348 7.55106i −0.144125 0.631451i
\(144\) 1.39811 3.74770i 0.116509 0.312309i
\(145\) 7.83721 + 6.24997i 0.650845 + 0.519032i
\(146\) 11.0118 + 4.26810i 0.911341 + 0.353231i
\(147\) −4.18948 5.60788i −0.345542 0.462530i
\(148\) −1.56362 1.42638i −0.128529 0.117248i
\(149\) −13.0298 + 16.3389i −1.06744 + 1.33853i −0.129563 + 0.991571i \(0.541358\pi\)
−0.937880 + 0.346960i \(0.887214\pi\)
\(150\) 1.21440 1.13641i 0.0991556 0.0927872i
\(151\) 13.7203 3.13156i 1.11654 0.254843i 0.375843 0.926683i \(-0.377353\pi\)
0.740696 + 0.671840i \(0.234496\pi\)
\(152\) 2.55529 0.0324511i 0.207261 0.00263213i
\(153\) −3.06498 6.36450i −0.247789 0.514539i
\(154\) −2.73718 + 6.74405i −0.220569 + 0.543451i
\(155\) −6.60000 + 13.7050i −0.530124 + 1.10081i
\(156\) −7.94585 0.527853i −0.636177 0.0422621i
\(157\) −5.46326 11.3446i −0.436016 0.905396i −0.996988 0.0775615i \(-0.975287\pi\)
0.560972 0.827835i \(-0.310428\pi\)
\(158\) −16.7631 + 9.77305i −1.33360 + 0.777502i
\(159\) −1.09378 + 4.79217i −0.0867424 + 0.380043i
\(160\) 8.16333 + 11.4453i 0.645368 + 0.904826i
\(161\) −6.45246 0.101876i −0.508525 0.00802893i
\(162\) 1.34961 0.422563i 0.106035 0.0331997i
\(163\) −7.80041 16.1977i −0.610975 1.26870i −0.945287 0.326240i \(-0.894218\pi\)
0.334312 0.942463i \(-0.391496\pi\)
\(164\) −12.7261 18.3304i −0.993741 1.43136i
\(165\) −4.83420 −0.376342
\(166\) 7.11257 18.3506i 0.552042 1.42428i
\(167\) 2.00052 8.76484i 0.154805 0.678243i −0.836644 0.547747i \(-0.815486\pi\)
0.991449 0.130497i \(-0.0416572\pi\)
\(168\) 5.83625 + 4.68382i 0.450277 + 0.361364i
\(169\) 0.635027 + 2.78224i 0.0488482 + 0.214018i
\(170\) 24.5652 + 3.59633i 1.88406 + 0.275826i
\(171\) 0.563325 + 0.706387i 0.0430785 + 0.0540188i
\(172\) 4.77560 + 0.317249i 0.364136 + 0.0241900i
\(173\) 5.82321 1.32911i 0.442730 0.101050i 0.00465617 0.999989i \(-0.498518\pi\)
0.438074 + 0.898939i \(0.355661\pi\)
\(174\) −5.64421 0.826309i −0.427886 0.0626423i
\(175\) 1.30562 + 2.82436i 0.0986957 + 0.213502i
\(176\) 1.02925 7.71251i 0.0775824 0.581352i
\(177\) 3.37195 0.253451
\(178\) −16.9474 6.56873i −1.27026 0.492347i
\(179\) 8.37996 + 1.91267i 0.626348 + 0.142960i 0.523902 0.851779i \(-0.324476\pi\)
0.102446 + 0.994739i \(0.467333\pi\)
\(180\) −1.42477 + 4.76175i −0.106196 + 0.354920i
\(181\) −9.94899 + 7.93406i −0.739503 + 0.589734i −0.919108 0.394005i \(-0.871089\pi\)
0.179606 + 0.983739i \(0.442518\pi\)
\(182\) 5.60275 13.8044i 0.415304 1.02325i
\(183\) 5.16354 + 4.11779i 0.381700 + 0.304395i
\(184\) 6.70583 1.62042i 0.494360 0.119459i
\(185\) 2.05614 + 1.63971i 0.151170 + 0.120554i
\(186\) −0.683416 8.62923i −0.0501105 0.632726i
\(187\) −8.56747 10.7433i −0.626515 0.785626i
\(188\) −2.07222 5.15127i −0.151132 0.375695i
\(189\) −0.0417677 + 2.64542i −0.00303815 + 0.192426i
\(190\) −3.16550 + 0.250701i −0.229650 + 0.0181877i
\(191\) 2.96879 6.16476i 0.214814 0.446066i −0.765520 0.643412i \(-0.777518\pi\)
0.980334 + 0.197346i \(0.0632323\pi\)
\(192\) −7.29357 3.28691i −0.526368 0.237212i
\(193\) 19.8857 + 9.57644i 1.43140 + 0.689327i 0.979258 0.202617i \(-0.0649447\pi\)
0.452145 + 0.891945i \(0.350659\pi\)
\(194\) −20.8188 + 12.1375i −1.49470 + 0.871424i
\(195\) 9.89514 0.708606
\(196\) −11.7465 + 7.61709i −0.839035 + 0.544078i
\(197\) −3.94730 −0.281234 −0.140617 0.990064i \(-0.544909\pi\)
−0.140617 + 0.990064i \(0.544909\pi\)
\(198\) 2.37656 1.38555i 0.168894 0.0984668i
\(199\) 18.3633 + 8.84330i 1.30174 + 0.626885i 0.950885 0.309545i \(-0.100177\pi\)
0.350855 + 0.936430i \(0.385891\pi\)
\(200\) −2.10682 2.57412i −0.148975 0.182018i
\(201\) 2.51151 5.21521i 0.177148 0.367852i
\(202\) −17.4638 + 1.38310i −1.22875 + 0.0973142i
\(203\) 4.78158 9.54076i 0.335601 0.669630i
\(204\) −13.1073 + 5.27273i −0.917696 + 0.369165i
\(205\) 17.2882 + 21.6788i 1.20746 + 1.51411i
\(206\) 1.73249 + 21.8755i 0.120709 + 1.52414i
\(207\) 1.90697 + 1.52076i 0.132544 + 0.105700i
\(208\) −2.10677 + 15.7868i −0.146078 + 1.09462i
\(209\) 1.37408 + 1.09579i 0.0950470 + 0.0757975i
\(210\) −7.62186 5.32653i −0.525959 0.367566i
\(211\) −18.0130 + 14.3649i −1.24007 + 0.988919i −0.240232 + 0.970716i \(0.577223\pi\)
−0.999834 + 0.0182039i \(0.994205\pi\)
\(212\) 9.41825 + 2.81805i 0.646848 + 0.193544i
\(213\) 0.509726 + 0.116342i 0.0349259 + 0.00797160i
\(214\) 2.24984 + 0.872026i 0.153796 + 0.0596104i
\(215\) −5.94716 −0.405593
\(216\) −0.664350 2.74930i −0.0452033 0.187066i
\(217\) 15.7295 + 3.85238i 1.06779 + 0.261517i
\(218\) −6.88077 1.00734i −0.466024 0.0682257i
\(219\) 8.14155 1.85826i 0.550155 0.125569i
\(220\) −0.640872 + 9.64713i −0.0432076 + 0.650409i
\(221\) 17.5368 + 21.9904i 1.17965 + 1.47924i
\(222\) −1.48079 0.216787i −0.0993841 0.0145498i
\(223\) −3.39503 14.8746i −0.227348 0.996077i −0.951792 0.306743i \(-0.900761\pi\)
0.724444 0.689333i \(-0.242096\pi\)
\(224\) 10.1207 11.0259i 0.676221 0.736699i
\(225\) 0.261696 1.14657i 0.0174464 0.0764377i
\(226\) −7.21528 + 18.6156i −0.479953 + 1.23829i
\(227\) 12.0223 0.797948 0.398974 0.916962i \(-0.369366\pi\)
0.398974 + 0.916962i \(0.369366\pi\)
\(228\) 1.48435 1.03053i 0.0983033 0.0682483i
\(229\) −3.26637 6.78268i −0.215848 0.448212i 0.764728 0.644353i \(-0.222873\pi\)
−0.980576 + 0.196141i \(0.937159\pi\)
\(230\) −8.18076 + 2.56140i −0.539423 + 0.168894i
\(231\) 1.06587 + 5.03499i 0.0701289 + 0.331278i
\(232\) −2.39724 + 11.1541i −0.157386 + 0.732299i
\(233\) 2.63897 11.5621i 0.172885 0.757457i −0.811917 0.583773i \(-0.801576\pi\)
0.984801 0.173684i \(-0.0555671\pi\)
\(234\) −4.86458 + 2.83609i −0.318008 + 0.185401i
\(235\) 2.99353 + 6.21613i 0.195276 + 0.405496i
\(236\) 0.447021 6.72907i 0.0290986 0.438025i
\(237\) −5.95319 + 12.3619i −0.386701 + 0.802994i
\(238\) −1.67054 26.3784i −0.108285 1.70986i
\(239\) 9.73220 + 20.2091i 0.629524 + 1.30722i 0.934874 + 0.354979i \(0.115512\pi\)
−0.305351 + 0.952240i \(0.598774\pi\)
\(240\) 9.31367 + 3.47454i 0.601195 + 0.224281i
\(241\) −4.49970 + 1.02703i −0.289851 + 0.0661566i −0.364974 0.931018i \(-0.618922\pi\)
0.0751231 + 0.997174i \(0.476065\pi\)
\(242\) −7.45144 + 6.97285i −0.478997 + 0.448232i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 8.90199 9.75847i 0.569892 0.624722i
\(245\) 13.9365 10.4116i 0.890370 0.665170i
\(246\) −14.7126 5.70250i −0.938039 0.363578i
\(247\) −2.81261 2.24298i −0.178962 0.142717i
\(248\) −17.3111 + 0.219844i −1.09926 + 0.0139601i
\(249\) −3.09669 13.5675i −0.196245 0.859803i
\(250\) −9.18279 9.81305i −0.580771 0.620632i
\(251\) 10.8794 5.23923i 0.686700 0.330697i −0.0577922 0.998329i \(-0.518406\pi\)
0.744492 + 0.667632i \(0.232692\pi\)
\(252\) 5.27367 + 0.434056i 0.332210 + 0.0273430i
\(253\) 4.27474 + 2.05860i 0.268750 + 0.129423i
\(254\) 3.68029 + 11.7543i 0.230922 + 0.737533i
\(255\) 15.8168 7.61699i 0.990489 0.476994i
\(256\) −7.52627 + 14.1193i −0.470392 + 0.882458i
\(257\) 14.8656 + 3.39298i 0.927292 + 0.211648i 0.659393 0.751799i \(-0.270813\pi\)
0.267899 + 0.963447i \(0.413671\pi\)
\(258\) 2.92370 1.70454i 0.182022 0.106120i
\(259\) 1.25447 2.50307i 0.0779493 0.155533i
\(260\) 1.31180 19.7468i 0.0813546 1.22464i
\(261\) −3.63415 + 1.75011i −0.224948 + 0.108329i
\(262\) 15.8682 + 10.7207i 0.980342 + 0.662324i
\(263\) 15.8258i 0.975858i 0.872883 + 0.487929i \(0.162247\pi\)
−0.872883 + 0.487929i \(0.837753\pi\)
\(264\) −2.44995 4.92634i −0.150784 0.303195i
\(265\) −11.9093 2.71823i −0.731584 0.166979i
\(266\) 0.959058 + 3.24171i 0.0588036 + 0.198762i
\(267\) −12.5301 + 2.85991i −0.766828 + 0.175024i
\(268\) −10.0745 5.70336i −0.615400 0.348388i
\(269\) 18.5186 14.7681i 1.12910 0.900425i 0.133215 0.991087i \(-0.457470\pi\)
0.995882 + 0.0906621i \(0.0288983\pi\)
\(270\) 1.05014 + 3.35400i 0.0639095 + 0.204118i
\(271\) −3.29816 14.4502i −0.200349 0.877787i −0.970724 0.240196i \(-0.922788\pi\)
0.770375 0.637591i \(-0.220069\pi\)
\(272\) 8.78463 + 26.8560i 0.532647 + 1.62838i
\(273\) −2.18173 10.3061i −0.132044 0.623756i
\(274\) −2.18448 1.47585i −0.131970 0.0891594i
\(275\) 2.28768i 0.137952i
\(276\) 3.28763 3.60394i 0.197892 0.216932i
\(277\) −1.00598 + 4.40747i −0.0604433 + 0.264819i −0.996116 0.0880494i \(-0.971937\pi\)
0.935673 + 0.352869i \(0.114794\pi\)
\(278\) 1.58975 + 20.0732i 0.0953468 + 1.20391i
\(279\) −3.81631 4.78551i −0.228477 0.286501i
\(280\) −11.6401 + 14.5041i −0.695627 + 0.866783i
\(281\) −1.97006 + 2.47038i −0.117524 + 0.147370i −0.837113 0.547029i \(-0.815759\pi\)
0.719589 + 0.694400i \(0.244330\pi\)
\(282\) −3.25329 2.19794i −0.193731 0.130886i
\(283\) −0.990116 + 1.24157i −0.0588563 + 0.0738034i −0.810388 0.585893i \(-0.800744\pi\)
0.751532 + 0.659697i \(0.229315\pi\)
\(284\) 0.299746 1.00179i 0.0177867 0.0594451i
\(285\) −1.75549 + 1.39996i −0.103986 + 0.0829263i
\(286\) −7.99783 + 7.48415i −0.472922 + 0.442547i
\(287\) 18.7674 22.7861i 1.10780 1.34502i
\(288\) −5.57458 + 0.961302i −0.328485 + 0.0566453i
\(289\) 29.6427 + 14.2752i 1.74369 + 0.839716i
\(290\) 2.05351 14.0268i 0.120587 0.823682i
\(291\) −7.39350 + 15.3528i −0.433415 + 0.899995i
\(292\) −2.62901 16.4936i −0.153851 0.965217i
\(293\) 23.7364i 1.38670i 0.720602 + 0.693348i \(0.243865\pi\)
−0.720602 + 0.693348i \(0.756135\pi\)
\(294\) −3.86727 + 9.11286i −0.225544 + 0.531473i
\(295\) 8.37985i 0.487894i
\(296\) −0.628929 + 2.92633i −0.0365558 + 0.170089i
\(297\) 0.844000 1.75258i 0.0489738 0.101695i
\(298\) 29.2428 + 4.28112i 1.69399 + 0.247999i
\(299\) −8.74998 4.21377i −0.506024 0.243688i
\(300\) −2.25339 0.674242i −0.130100 0.0389274i
\(301\) 1.31126 + 6.19417i 0.0755796 + 0.357026i
\(302\) −13.5987 14.5320i −0.782517 0.836225i
\(303\) −9.68490 + 7.72345i −0.556383 + 0.443701i
\(304\) −1.85974 3.09878i −0.106663 0.177727i
\(305\) −10.2334 + 12.8323i −0.585962 + 0.734773i
\(306\) −5.59263 + 8.27795i −0.319709 + 0.473219i
\(307\) −3.12345 + 3.91668i −0.178265 + 0.223537i −0.862934 0.505317i \(-0.831375\pi\)
0.684669 + 0.728854i \(0.259947\pi\)
\(308\) 10.1891 1.45955i 0.580580 0.0831658i
\(309\) 9.67455 + 12.1315i 0.550366 + 0.690137i
\(310\) 21.4451 1.69840i 1.21800 0.0964627i
\(311\) 3.58947 15.7265i 0.203540 0.891768i −0.765220 0.643769i \(-0.777370\pi\)
0.968760 0.247999i \(-0.0797731\pi\)
\(312\) 5.01481 + 10.0837i 0.283908 + 0.570880i
\(313\) 21.4408i 1.21190i 0.795502 + 0.605951i \(0.207207\pi\)
−0.795502 + 0.605951i \(0.792793\pi\)
\(314\) −9.96874 + 14.7553i −0.562569 + 0.832688i
\(315\) −6.57431 0.103800i −0.370421 0.00584844i
\(316\) 23.8803 + 13.5190i 1.34337 + 0.760505i
\(317\) −2.06114 9.03045i −0.115765 0.507201i −0.999249 0.0387395i \(-0.987666\pi\)
0.883484 0.468461i \(-0.155191\pi\)
\(318\) 6.63387 2.07707i 0.372009 0.116476i
\(319\) −6.13444 + 4.89206i −0.343463 + 0.273903i
\(320\) 8.16852 18.1257i 0.456634 1.01326i
\(321\) 1.66342 0.379665i 0.0928430 0.0211908i
\(322\) 4.47153 + 7.95580i 0.249188 + 0.443360i
\(323\) −6.22238 1.42022i −0.346222 0.0790230i
\(324\) −1.47757 1.34788i −0.0820871 0.0748825i
\(325\) 4.68266i 0.259747i
\(326\) −14.2333 + 21.0675i −0.788309 + 1.16682i
\(327\) −4.43033 + 2.13354i −0.244998 + 0.117985i
\(328\) −13.3304 + 28.6044i −0.736047 + 1.57942i
\(329\) 5.81429 4.48843i 0.320552 0.247455i
\(330\) 3.44333 + 5.90614i 0.189549 + 0.325122i
\(331\) −27.1626 6.19968i −1.49299 0.340765i −0.603368 0.797463i \(-0.706175\pi\)
−0.889622 + 0.456698i \(0.849032\pi\)
\(332\) −27.4858 + 4.38111i −1.50848 + 0.240444i
\(333\) −0.953440 + 0.459152i −0.0522482 + 0.0251614i
\(334\) −12.1333 + 3.79895i −0.663904 + 0.207869i
\(335\) 12.9607 + 6.24152i 0.708116 + 0.341011i
\(336\) 1.56534 10.4666i 0.0853961 0.571000i
\(337\) 9.13819 4.40072i 0.497789 0.239722i −0.168105 0.985769i \(-0.553765\pi\)
0.665894 + 0.746047i \(0.268050\pi\)
\(338\) 2.94685 2.75758i 0.160288 0.149993i
\(339\) 3.14141 + 13.7634i 0.170618 + 0.747525i
\(340\) −13.1036 32.5739i −0.710644 1.76657i
\(341\) −9.30887 7.42358i −0.504104 0.402009i
\(342\) 0.461774 1.19139i 0.0249699 0.0644228i
\(343\) −13.9168 12.2198i −0.751436 0.659806i
\(344\) −3.01399 6.06051i −0.162503 0.326761i
\(345\) −3.77934 + 4.73914i −0.203473 + 0.255147i
\(346\) −5.77161 6.16775i −0.310284 0.331580i
\(347\) −32.6296 + 7.44750i −1.75165 + 0.399803i −0.973575 0.228369i \(-0.926661\pi\)
−0.778075 + 0.628171i \(0.783804\pi\)
\(348\) 3.01075 + 7.48433i 0.161393 + 0.401202i
\(349\) −8.35814 17.3559i −0.447401 0.929037i −0.995690 0.0927483i \(-0.970435\pi\)
0.548289 0.836289i \(-0.315279\pi\)
\(350\) 2.52067 3.60688i 0.134735 0.192796i
\(351\) −1.72759 + 3.58737i −0.0922118 + 0.191480i
\(352\) −10.1558 + 4.23603i −0.541306 + 0.225781i
\(353\) −5.70773 11.8522i −0.303792 0.630830i 0.692058 0.721842i \(-0.256704\pi\)
−0.995850 + 0.0910115i \(0.970990\pi\)
\(354\) −2.40179 4.11965i −0.127654 0.218957i
\(355\) −0.289128 + 1.26675i −0.0153453 + 0.0672323i
\(356\) 4.04612 + 25.3842i 0.214444 + 1.34536i
\(357\) −11.4207 14.7944i −0.604449 0.783001i
\(358\) −3.63213 11.6005i −0.191964 0.613106i
\(359\) −13.4531 27.9357i −0.710030 1.47439i −0.872979 0.487758i \(-0.837815\pi\)
0.162949 0.986634i \(-0.447899\pi\)
\(360\) 6.83246 1.65102i 0.360102 0.0870164i
\(361\) −18.1837 −0.957036
\(362\) 16.7799 + 6.50378i 0.881931 + 0.341831i
\(363\) −1.60574 + 7.03519i −0.0842793 + 0.369252i
\(364\) −20.8562 + 2.98757i −1.09316 + 0.156591i
\(365\) 4.61808 + 20.2331i 0.241721 + 1.05905i
\(366\) 1.35296 9.24154i 0.0707201 0.483063i
\(367\) 19.5050 + 24.4585i 1.01815 + 1.27673i 0.960468 + 0.278390i \(0.0898009\pi\)
0.0576864 + 0.998335i \(0.481628\pi\)
\(368\) −6.75619 7.03858i −0.352191 0.366912i
\(369\) −10.8777 + 2.48277i −0.566272 + 0.129248i
\(370\) 0.538751 3.68001i 0.0280083 0.191315i
\(371\) −0.205305 + 13.0033i −0.0106589 + 0.675099i
\(372\) −10.0559 + 6.98143i −0.521374 + 0.361970i
\(373\) −15.1525 −0.784564 −0.392282 0.919845i \(-0.628314\pi\)
−0.392282 + 0.919845i \(0.628314\pi\)
\(374\) −7.02301 + 18.1195i −0.363151 + 0.936937i
\(375\) −9.26488 2.11465i −0.478437 0.109200i
\(376\) −4.81751 + 6.20089i −0.248444 + 0.319787i
\(377\) 12.5566 10.0136i 0.646699 0.515725i
\(378\) 3.26177 1.83326i 0.167767 0.0942929i
\(379\) 13.4731 + 10.7444i 0.692067 + 0.551905i 0.905131 0.425133i \(-0.139773\pi\)
−0.213064 + 0.977038i \(0.568344\pi\)
\(380\) 2.56103 + 3.68885i 0.131378 + 0.189234i
\(381\) 6.80932 + 5.43025i 0.348852 + 0.278200i
\(382\) −9.64636 + 0.763970i −0.493551 + 0.0390881i
\(383\) −17.6282 22.1051i −0.900761 1.12952i −0.991035 0.133601i \(-0.957346\pi\)
0.0902745 0.995917i \(-0.471226\pi\)
\(384\) 1.17935 + 11.2521i 0.0601835 + 0.574205i
\(385\) −12.5128 + 2.64886i −0.637711 + 0.134998i
\(386\) −2.46434 31.1163i −0.125432 1.58378i
\(387\) 1.03831 2.15607i 0.0527803 0.109599i
\(388\) 29.6578 + 16.7898i 1.50565 + 0.852373i
\(389\) 26.6631 + 12.8403i 1.35188 + 0.651029i 0.962809 0.270181i \(-0.0870836\pi\)
0.389066 + 0.921210i \(0.372798\pi\)
\(390\) −7.04816 12.0893i −0.356897 0.612165i
\(391\) −17.2300 −0.871358
\(392\) 17.6730 + 8.92562i 0.892619 + 0.450812i
\(393\) 13.5413 0.683067
\(394\) 2.81160 + 4.82258i 0.141647 + 0.242958i
\(395\) −30.7215 14.7947i −1.54576 0.744401i
\(396\) −3.38557 1.91663i −0.170131 0.0963142i
\(397\) −3.96399 + 8.23131i −0.198947 + 0.413118i −0.976445 0.215768i \(-0.930774\pi\)
0.777498 + 0.628886i \(0.216489\pi\)
\(398\) −2.27568 28.7341i −0.114070 1.44031i
\(399\) 1.84516 + 1.51974i 0.0923737 + 0.0760820i
\(400\) −1.64425 + 4.40749i −0.0822126 + 0.220375i
\(401\) −2.67059 3.34882i −0.133363 0.167232i 0.710666 0.703530i \(-0.248394\pi\)
−0.844029 + 0.536298i \(0.819822\pi\)
\(402\) −8.16054 + 0.646297i −0.407011 + 0.0322344i
\(403\) 19.0544 + 15.1953i 0.949165 + 0.756934i
\(404\) 14.1290 + 20.3511i 0.702944 + 1.01251i
\(405\) 1.94298 + 1.54948i 0.0965475 + 0.0769941i
\(406\) −15.0622 + 0.953887i −0.747524 + 0.0473406i
\(407\) −1.60941 + 1.28346i −0.0797753 + 0.0636187i
\(408\) 15.7781 + 12.2581i 0.781131 + 0.606865i
\(409\) −15.0216 3.42857i −0.742768 0.169532i −0.165641 0.986186i \(-0.552969\pi\)
−0.577127 + 0.816654i \(0.695826\pi\)
\(410\) 14.1717 36.5632i 0.699889 1.80573i
\(411\) −1.86415 −0.0919517
\(412\) 25.4922 17.6983i 1.25591 0.871931i
\(413\) 8.72792 1.84763i 0.429473 0.0909159i
\(414\) 0.499666 3.41304i 0.0245573 0.167742i
\(415\) 33.7174 7.69578i 1.65512 0.377771i
\(416\) 20.7880 8.67075i 1.01921 0.425118i
\(417\) 8.87744 + 11.1320i 0.434730 + 0.545134i
\(418\) 0.360038 2.45928i 0.0176100 0.120288i
\(419\) −0.292853 1.28307i −0.0143068 0.0626821i 0.967271 0.253747i \(-0.0816631\pi\)
−0.981577 + 0.191065i \(0.938806\pi\)
\(420\) −1.07870 + 13.1059i −0.0526353 + 0.639505i
\(421\) 6.06636 26.5785i 0.295656 1.29536i −0.580868 0.813998i \(-0.697287\pi\)
0.876524 0.481358i \(-0.159856\pi\)
\(422\) 30.3805 + 11.7753i 1.47890 + 0.573214i
\(423\) −2.77623 −0.134985
\(424\) −3.26555 13.5139i −0.158589 0.656294i
\(425\) 3.60457 + 7.48498i 0.174848 + 0.363075i
\(426\) −0.220931 0.705621i −0.0107041 0.0341875i
\(427\) 15.6216 + 7.82912i 0.755980 + 0.378878i
\(428\) −0.537139 3.36985i −0.0259636 0.162888i
\(429\) −1.72348 + 7.55106i −0.0832104 + 0.364569i
\(430\) 4.23607 + 7.26588i 0.204281 + 0.350392i
\(431\) −0.453460 0.941619i −0.0218424 0.0453562i 0.889762 0.456424i \(-0.150870\pi\)
−0.911605 + 0.411068i \(0.865156\pi\)
\(432\) −2.88572 + 2.76995i −0.138839 + 0.133269i
\(433\) −4.48409 + 9.31130i −0.215491 + 0.447473i −0.980493 0.196556i \(-0.937024\pi\)
0.765001 + 0.644029i \(0.222738\pi\)
\(434\) −6.49726 21.9613i −0.311878 1.05418i
\(435\) −4.34933 9.03147i −0.208534 0.433026i
\(436\) 3.67036 + 9.12403i 0.175778 + 0.436962i
\(437\) 2.14849 0.490378i 0.102776 0.0234580i
\(438\) −8.06941 8.62326i −0.385571 0.412035i
\(439\) −2.42674 + 3.04304i −0.115822 + 0.145236i −0.836363 0.548176i \(-0.815322\pi\)
0.720541 + 0.693413i \(0.243894\pi\)
\(440\) 12.2428 6.08853i 0.583651 0.290259i
\(441\) 1.34142 + 6.87027i 0.0638774 + 0.327156i
\(442\) 14.3754 37.0889i 0.683769 1.76414i
\(443\) −28.7050 22.8915i −1.36382 1.08761i −0.986895 0.161361i \(-0.948412\pi\)
−0.376921 0.926246i \(-0.623017\pi\)
\(444\) 0.789887 + 1.96356i 0.0374864 + 0.0931862i
\(445\) −7.10735 31.1393i −0.336921 1.47615i
\(446\) −15.7547 + 14.7428i −0.746005 + 0.698091i
\(447\) 18.8286 9.06738i 0.890563 0.428872i
\(448\) −20.6796 4.51135i −0.977021 0.213141i
\(449\) −15.3831 7.40809i −0.725971 0.349609i 0.0341270 0.999418i \(-0.489135\pi\)
−0.760098 + 0.649808i \(0.774849\pi\)
\(450\) −1.58721 + 0.496956i −0.0748217 + 0.0234267i
\(451\) −19.5544 + 9.41690i −0.920780 + 0.443424i
\(452\) 27.8827 4.44437i 1.31149 0.209046i
\(453\) −13.7203 3.13156i −0.644634 0.147134i
\(454\) −8.56330 14.6881i −0.401896 0.689348i
\(455\) 25.6125 5.42196i 1.20073 0.254185i
\(456\) −2.31631 1.07946i −0.108471 0.0505503i
\(457\) 27.4083 13.1991i 1.28210 0.617429i 0.336175 0.941800i \(-0.390867\pi\)
0.945930 + 0.324371i \(0.105152\pi\)
\(458\) −5.96009 + 8.82185i −0.278497 + 0.412218i
\(459\) 7.06406i 0.329722i
\(460\) 8.95640 + 8.17032i 0.417594 + 0.380943i
\(461\) 6.47247 + 1.47730i 0.301453 + 0.0688047i 0.370572 0.928804i \(-0.379162\pi\)
−0.0691190 + 0.997608i \(0.522019\pi\)
\(462\) 5.39225 4.88856i 0.250870 0.227436i
\(463\) 21.0589 4.80655i 0.978689 0.223379i 0.296884 0.954914i \(-0.404053\pi\)
0.681805 + 0.731534i \(0.261195\pi\)
\(464\) 15.3349 5.01606i 0.711904 0.232865i
\(465\) 11.8928 9.48418i 0.551515 0.439818i
\(466\) −16.0056 + 5.01136i −0.741443 + 0.232147i
\(467\) 8.61677 + 37.7525i 0.398737 + 1.74698i 0.632381 + 0.774657i \(0.282078\pi\)
−0.233645 + 0.972322i \(0.575065\pi\)
\(468\) 6.92994 + 3.92315i 0.320336 + 0.181348i
\(469\) 3.64314 14.8752i 0.168225 0.686871i
\(470\) 5.46225 8.08497i 0.251955 0.372932i
\(471\) 12.5915i 0.580188i
\(472\) −8.53958 + 4.24687i −0.393066 + 0.195478i
\(473\) 1.03584 4.53832i 0.0476281 0.208672i
\(474\) 19.3434 1.53196i 0.888474 0.0703651i
\(475\) −0.662499 0.830748i −0.0303976 0.0381173i
\(476\) −31.0377 + 20.8299i −1.42261 + 0.954739i
\(477\) 3.06470 3.84302i 0.140323 0.175960i
\(478\) 17.7582 26.2849i 0.812241 1.20224i
\(479\) 21.4932 26.9516i 0.982048 1.23145i 0.00921172 0.999958i \(-0.497068\pi\)
0.972837 0.231492i \(-0.0743608\pi\)
\(480\) −2.38900 13.8537i −0.109042 0.632334i
\(481\) 3.29430 2.62712i 0.150207 0.119786i
\(482\) 4.45983 + 4.76593i 0.203139 + 0.217082i
\(483\) 5.76927 + 2.89141i 0.262511 + 0.131564i
\(484\) 13.8266 + 4.13707i 0.628480 + 0.188049i
\(485\) −38.1542 18.3741i −1.73249 0.834324i
\(486\) −1.39930 0.204856i −0.0634734 0.00929247i
\(487\) 6.78733 14.0940i 0.307563 0.638662i −0.688698 0.725048i \(-0.741818\pi\)
0.996262 + 0.0863859i \(0.0275318\pi\)
\(488\) −18.2631 3.92512i −0.826731 0.177682i
\(489\) 17.9781i 0.812998i
\(490\) −22.6470 9.61080i −1.02309 0.434172i
\(491\) 36.3197i 1.63909i −0.573017 0.819543i \(-0.694227\pi\)
0.573017 0.819543i \(-0.305773\pi\)
\(492\) 3.51255 + 22.0367i 0.158358 + 0.993493i
\(493\) 12.3629 25.6719i 0.556798 1.15620i
\(494\) −0.736963 + 5.03392i −0.0331575 + 0.226487i
\(495\) 4.35546 + 2.09748i 0.195763 + 0.0942747i
\(496\) 12.5990 + 20.9931i 0.565713 + 0.942618i
\(497\) 1.38312 + 0.0218376i 0.0620413 + 0.000979549i
\(498\) −14.3702 + 13.4472i −0.643944 + 0.602586i
\(499\) −28.3445 + 22.6040i −1.26887 + 1.01189i −0.270078 + 0.962838i \(0.587050\pi\)
−0.998796 + 0.0490553i \(0.984379\pi\)
\(500\) −5.44825 + 18.2087i −0.243653 + 0.814317i
\(501\) −5.60532 + 7.02885i −0.250427 + 0.314026i
\(502\) −14.1502 9.55995i −0.631554 0.426681i
\(503\) 2.57382 3.22747i 0.114761 0.143906i −0.721133 0.692797i \(-0.756378\pi\)
0.835894 + 0.548891i \(0.184950\pi\)
\(504\) −3.22605 6.75223i −0.143700 0.300768i
\(505\) −19.1941 24.0686i −0.854124 1.07104i
\(506\) −0.529749 6.68893i −0.0235502 0.297359i
\(507\) 0.635027 2.78224i 0.0282025 0.123563i
\(508\) 11.7393 12.8688i 0.520849 0.570961i
\(509\) 36.2625i 1.60731i 0.595096 + 0.803654i \(0.297114\pi\)
−0.595096 + 0.803654i \(0.702886\pi\)
\(510\) −20.5721 13.8986i −0.910947 0.615441i
\(511\) 20.0553 9.27098i 0.887194 0.410124i
\(512\) 22.6110 0.861822i 0.999274 0.0380875i
\(513\) −0.201048 0.880850i −0.00887650 0.0388905i
\(514\) −6.44321 20.5787i −0.284198 0.907688i
\(515\) −30.1488 + 24.0429i −1.32852 + 1.05946i
\(516\) −4.16501 2.35789i −0.183355 0.103800i
\(517\) −5.26497 + 1.20170i −0.231553 + 0.0528505i
\(518\) −3.95165 + 0.250258i −0.173625 + 0.0109957i
\(519\) −5.82321 1.32911i −0.255610 0.0583414i
\(520\) −25.0598 + 12.4626i −1.09894 + 0.546522i
\(521\) 43.6232i 1.91117i 0.294717 + 0.955584i \(0.404774\pi\)
−0.294717 + 0.955584i \(0.595226\pi\)
\(522\) 4.72674 + 3.19341i 0.206884 + 0.139772i
\(523\) 14.7682 7.11201i 0.645770 0.310986i −0.0821791 0.996618i \(-0.526188\pi\)
0.727949 + 0.685631i \(0.240474\pi\)
\(524\) 1.79517 27.0230i 0.0784226 1.18051i
\(525\) 0.0491209 3.11115i 0.00214381 0.135782i
\(526\) 19.3350 11.2724i 0.843045 0.491502i
\(527\) 42.1543 + 9.62144i 1.83627 + 0.419116i
\(528\) −4.27365 + 6.50216i −0.185987 + 0.282970i
\(529\) −15.3622 + 7.39805i −0.667922 + 0.321654i
\(530\) 5.16186 + 16.4863i 0.224217 + 0.716118i
\(531\) −3.03802 1.46303i −0.131839 0.0634902i
\(532\) 3.27740 3.48074i 0.142093 0.150909i
\(533\) 40.0260 19.2755i 1.73372 0.834914i
\(534\) 12.4191 + 13.2714i 0.537425 + 0.574311i
\(535\) 0.943530 + 4.13387i 0.0407923 + 0.178723i
\(536\) 0.207903 + 16.3709i 0.00898006 + 0.707114i
\(537\) −6.72021 5.35919i −0.289998 0.231266i
\(538\) −31.2332 12.1058i −1.34656 0.521919i
\(539\) 5.51776 + 12.4485i 0.237667 + 0.536194i
\(540\) 3.34972 3.67200i 0.144149 0.158018i
\(541\) 1.36230 1.70828i 0.0585700 0.0734445i −0.751684 0.659524i \(-0.770758\pi\)
0.810254 + 0.586079i \(0.199329\pi\)
\(542\) −15.3052 + 14.3222i −0.657413 + 0.615189i
\(543\) 12.4062 2.83163i 0.532401 0.121517i
\(544\) 26.5539 29.8617i 1.13849 1.28031i
\(545\) −5.30219 11.0101i −0.227121 0.471622i
\(546\) −11.0374 + 10.0064i −0.472358 + 0.428235i
\(547\) −16.6567 + 34.5880i −0.712189 + 1.47888i 0.158665 + 0.987333i \(0.449281\pi\)
−0.870853 + 0.491543i \(0.836433\pi\)
\(548\) −0.247131 + 3.72010i −0.0105569 + 0.158915i
\(549\) −2.86555 5.95037i −0.122299 0.253956i
\(550\) −2.79495 + 1.62948i −0.119177 + 0.0694812i
\(551\) −0.810949 + 3.55300i −0.0345476 + 0.151363i
\(552\) −6.74482 1.44960i −0.287078 0.0616992i
\(553\) −8.63557 + 35.2595i −0.367222 + 1.49939i
\(554\) 6.10133 1.91033i 0.259221 0.0811623i
\(555\) −1.14107 2.36946i −0.0484357 0.100578i
\(556\) 23.3918 16.2401i 0.992035 0.688732i
\(557\) −28.1356 −1.19214 −0.596071 0.802932i \(-0.703272\pi\)
−0.596071 + 0.802932i \(0.703272\pi\)
\(558\) −3.12835 + 8.07119i −0.132433 + 0.341681i
\(559\) −2.12027 + 9.28951i −0.0896779 + 0.392904i
\(560\) 26.0112 + 3.89012i 1.09918 + 0.164388i
\(561\) 3.05769 + 13.3966i 0.129096 + 0.565606i
\(562\) 4.42141 + 0.647291i 0.186506 + 0.0273043i
\(563\) 18.0563 + 22.6419i 0.760982 + 0.954241i 0.999859 0.0168085i \(-0.00535056\pi\)
−0.238877 + 0.971050i \(0.576779\pi\)
\(564\) −0.368046 + 5.54024i −0.0154975 + 0.233286i
\(565\) −34.2043 + 7.80692i −1.43899 + 0.328439i
\(566\) 2.22212 + 0.325316i 0.0934025 + 0.0136741i
\(567\) 1.18544 2.36532i 0.0497837 0.0993341i
\(568\) −1.43743 + 0.347345i −0.0603131 + 0.0145743i
\(569\) −16.5619 −0.694311 −0.347156 0.937808i \(-0.612852\pi\)
−0.347156 + 0.937808i \(0.612852\pi\)
\(570\) 2.96079 + 1.14759i 0.124014 + 0.0480671i
\(571\) −19.7243 4.50195i −0.825438 0.188401i −0.211121 0.977460i \(-0.567711\pi\)
−0.614317 + 0.789059i \(0.710568\pi\)
\(572\) 14.8404 + 4.44043i 0.620509 + 0.185664i
\(573\) −5.34958 + 4.26614i −0.223482 + 0.178221i
\(574\) −41.2065 6.69868i −1.71993 0.279598i
\(575\) −2.24269 1.78849i −0.0935268 0.0745852i
\(576\) 5.14515 + 6.12597i 0.214381 + 0.255249i
\(577\) −28.4042 22.6516i −1.18248 0.942999i −0.183287 0.983060i \(-0.558674\pi\)
−0.999197 + 0.0400601i \(0.987245\pi\)
\(578\) −3.67349 46.3837i −0.152797 1.92931i
\(579\) −13.7613 17.2561i −0.571901 0.717141i
\(580\) −18.5998 + 7.48221i −0.772315 + 0.310682i
\(581\) −15.4496 33.4211i −0.640958 1.38654i
\(582\) 24.0234 1.90260i 0.995800 0.0788652i
\(583\) 4.14860 8.61466i 0.171817 0.356783i
\(584\) −18.2784 + 14.9601i −0.756364 + 0.619055i
\(585\) −8.91521 4.29334i −0.368599 0.177508i
\(586\) 28.9998 16.9071i 1.19797 0.698426i
\(587\) 17.2057 0.710154 0.355077 0.934837i \(-0.384455\pi\)
0.355077 + 0.934837i \(0.384455\pi\)
\(588\) 13.8881 1.76615i 0.572738 0.0728350i
\(589\) −5.53025 −0.227870
\(590\) 10.2380 5.96884i 0.421492 0.245733i
\(591\) 3.55640 + 1.71267i 0.146291 + 0.0704499i
\(592\) 4.02319 1.31599i 0.165352 0.0540869i
\(593\) −11.6695 + 24.2320i −0.479209 + 0.995088i 0.511525 + 0.859269i \(0.329081\pi\)
−0.990734 + 0.135819i \(0.956633\pi\)
\(594\) −2.74237 + 0.217190i −0.112521 + 0.00891140i
\(595\) 36.7665 28.3824i 1.50728 1.16357i
\(596\) −15.5988 38.7765i −0.638950 1.58835i
\(597\) −12.7078 15.9351i −0.520096 0.652179i
\(598\) 1.08434 + 13.6916i 0.0443421 + 0.559891i
\(599\) −1.80424 1.43884i −0.0737194 0.0587892i 0.585937 0.810357i \(-0.300727\pi\)
−0.659656 + 0.751567i \(0.729298\pi\)
\(600\) 0.781310 + 3.23332i 0.0318968 + 0.132000i
\(601\) −18.3257 14.6143i −0.747523 0.596129i 0.173867 0.984769i \(-0.444374\pi\)
−0.921390 + 0.388640i \(0.872945\pi\)
\(602\) 6.63369 6.01403i 0.270369 0.245114i
\(603\) −4.52559 + 3.60904i −0.184296 + 0.146971i
\(604\) −8.06825 + 26.9650i −0.328292 + 1.09719i
\(605\) −17.4836 3.99052i −0.710810 0.162238i
\(606\) 16.3345 + 6.33114i 0.663542 + 0.257185i
\(607\) 23.1466 0.939493 0.469747 0.882801i \(-0.344345\pi\)
0.469747 + 0.882801i \(0.344345\pi\)
\(608\) −2.46125 + 4.47933i −0.0998167 + 0.181661i
\(609\) −8.44764 + 6.52128i −0.342316 + 0.264256i
\(610\) 22.9668 + 3.36232i 0.929897 + 0.136136i
\(611\) 10.7769 2.45976i 0.435987 0.0995111i
\(612\) 14.0970 + 0.936486i 0.569839 + 0.0378552i
\(613\) 20.1955 + 25.3243i 0.815687 + 1.02284i 0.999207 + 0.0398231i \(0.0126794\pi\)
−0.183520 + 0.983016i \(0.558749\pi\)
\(614\) 7.00995 + 1.02625i 0.282899 + 0.0414162i
\(615\) −6.17010 27.0330i −0.248802 1.09007i
\(616\) −9.04076 11.4089i −0.364263 0.459676i
\(617\) 3.42469 15.0045i 0.137873 0.604059i −0.858028 0.513603i \(-0.828310\pi\)
0.995900 0.0904562i \(-0.0288325\pi\)
\(618\) 7.93052 20.4609i 0.319012 0.823057i
\(619\) 24.6469 0.990644 0.495322 0.868709i \(-0.335050\pi\)
0.495322 + 0.868709i \(0.335050\pi\)
\(620\) −17.3500 24.9906i −0.696793 1.00365i
\(621\) −1.05829 2.19756i −0.0424677 0.0881850i
\(622\) −21.7704 + 6.81634i −0.872915 + 0.273311i
\(623\) −30.8657 + 14.2683i −1.23661 + 0.571648i
\(624\) 8.74776 13.3093i 0.350191 0.532798i
\(625\) 6.56374 28.7576i 0.262549 1.15030i
\(626\) 26.1950 15.2719i 1.04696 0.610389i
\(627\) −0.762556 1.58346i −0.0304536 0.0632375i
\(628\) 25.1277 + 1.66927i 1.00270 + 0.0666110i
\(629\) 3.24348 6.73516i 0.129326 0.268548i
\(630\) 4.55597 + 8.10604i 0.181514 + 0.322952i
\(631\) −11.1951 23.2468i −0.445669 0.925442i −0.995903 0.0904312i \(-0.971175\pi\)
0.550233 0.835011i \(-0.314539\pi\)
\(632\) −0.492807 38.8049i −0.0196028 1.54358i
\(633\) 22.4618 5.12677i 0.892778 0.203771i
\(634\) −9.56475 + 8.95043i −0.379865 + 0.355467i
\(635\) −13.4951 + 16.9223i −0.535536 + 0.671541i
\(636\) −7.26284 6.62540i −0.287990 0.262714i
\(637\) −11.2943 25.4809i −0.447497 1.00959i
\(638\) 10.3463 + 4.01016i 0.409614 + 0.158764i
\(639\) −0.408769 0.325982i −0.0161706 0.0128957i
\(640\) −27.9633 + 2.93088i −1.10535 + 0.115853i
\(641\) −3.21098 14.0682i −0.126826 0.555662i −0.997915 0.0645369i \(-0.979443\pi\)
0.871089 0.491125i \(-0.163414\pi\)
\(642\) −1.64868 1.76184i −0.0650682 0.0695342i
\(643\) 6.25218 3.01089i 0.246562 0.118738i −0.306522 0.951864i \(-0.599165\pi\)
0.553084 + 0.833126i \(0.313451\pi\)
\(644\) 6.53493 11.1298i 0.257512 0.438577i
\(645\) 5.35820 + 2.58037i 0.210979 + 0.101602i
\(646\) 2.69697 + 8.61373i 0.106111 + 0.338903i
\(647\) 2.68755 1.29426i 0.105658 0.0508824i −0.380308 0.924860i \(-0.624182\pi\)
0.485966 + 0.873977i \(0.338468\pi\)
\(648\) −0.594317 + 2.76528i −0.0233470 + 0.108631i
\(649\) −6.39473 1.45956i −0.251015 0.0572926i
\(650\) 5.72100 3.33539i 0.224396 0.130825i
\(651\) −12.5003 10.2956i −0.489925 0.403518i
\(652\) 35.8771 + 2.38337i 1.40506 + 0.0933398i
\(653\) 16.7556 8.06907i 0.655697 0.315767i −0.0762898 0.997086i \(-0.524307\pi\)
0.731987 + 0.681319i \(0.238593\pi\)
\(654\) 5.76229 + 3.89303i 0.225323 + 0.152230i
\(655\) 33.6523i 1.31491i
\(656\) 44.4422 4.08824i 1.73518 0.159619i
\(657\) −8.14155 1.85826i −0.317632 0.0724975i
\(658\) −9.62513 3.90652i −0.375227 0.152292i
\(659\) 33.2157 7.58127i 1.29390 0.295325i 0.480483 0.877004i \(-0.340461\pi\)
0.813418 + 0.581679i \(0.197604\pi\)
\(660\) 4.76314 8.41370i 0.185405 0.327503i
\(661\) −27.1983 + 21.6900i −1.05789 + 0.843641i −0.988083 0.153919i \(-0.950810\pi\)
−0.0698093 + 0.997560i \(0.522239\pi\)
\(662\) 11.7731 + 37.6016i 0.457574 + 1.46143i
\(663\) −6.25881 27.4216i −0.243072 1.06497i
\(664\) 24.9303 + 30.4599i 0.967483 + 1.18207i
\(665\) −3.77680 + 4.58554i −0.146458 + 0.177820i
\(666\) 1.24009 + 0.837809i 0.0480524 + 0.0324644i
\(667\) 9.83838i 0.380944i
\(668\) 13.2837 + 12.1178i 0.513961 + 0.468852i
\(669\) −3.39503 + 14.8746i −0.131259 + 0.575085i
\(670\) −1.60616 20.2803i −0.0620512 0.783497i
\(671\) −8.01000 10.0442i −0.309223 0.387753i
\(672\) −13.9024 + 5.54276i −0.536298 + 0.213817i
\(673\) −15.1669 + 19.0187i −0.584642 + 0.733118i −0.982897 0.184157i \(-0.941045\pi\)
0.398255 + 0.917275i \(0.369616\pi\)
\(674\) −11.8855 8.02993i −0.457813 0.309301i
\(675\) −0.733256 + 0.919474i −0.0282230 + 0.0353906i
\(676\) −5.46805 1.63610i −0.210309 0.0629270i
\(677\) 26.7166 21.3057i 1.02680 0.818846i 0.0431748 0.999068i \(-0.486253\pi\)
0.983626 + 0.180221i \(0.0576813\pi\)
\(678\) 14.5777 13.6414i 0.559854 0.523896i
\(679\) −10.7248 + 43.7901i −0.411582 + 1.68051i
\(680\) −30.4633 + 39.2111i −1.16822 + 1.50368i
\(681\) −10.8317 5.21628i −0.415072 0.199888i
\(682\) −2.43912 + 16.6607i −0.0933987 + 0.637972i
\(683\) 9.17870 19.0598i 0.351213 0.729302i −0.648271 0.761410i \(-0.724508\pi\)
0.999484 + 0.0321076i \(0.0102219\pi\)
\(684\) −1.78448 + 0.284438i −0.0682313 + 0.0108757i
\(685\) 4.63272i 0.177007i
\(686\) −5.01668 + 25.7067i −0.191538 + 0.981485i
\(687\) 7.52821i 0.287219i
\(688\) −5.25756 + 7.99912i −0.200442 + 0.304964i
\(689\) −8.49179 + 17.6334i −0.323511 + 0.671778i
\(690\) 8.48196 + 1.24175i 0.322903 + 0.0472727i
\(691\) 14.0157 + 6.74961i 0.533183 + 0.256767i 0.681046 0.732240i \(-0.261525\pi\)
−0.147863 + 0.989008i \(0.547240\pi\)
\(692\) −3.42436 + 11.4446i −0.130175 + 0.435058i
\(693\) 1.22429 4.99883i 0.0465068 0.189890i
\(694\) 32.3405 + 34.5602i 1.22763 + 1.31189i
\(695\) −27.6648 + 22.0619i −1.04938 + 0.836856i
\(696\) 6.99940 9.00933i 0.265312 0.341498i
\(697\) 49.1416 61.6216i 1.86137 2.33409i
\(698\) −15.2510 + 22.5738i −0.577258 + 0.854430i
\(699\) −7.39423 + 9.27207i −0.279675 + 0.350702i
\(700\) −6.20211 0.510473i −0.234418 0.0192941i
\(701\) 4.27008 + 5.35450i 0.161279 + 0.202237i 0.855904 0.517135i \(-0.173001\pi\)
−0.694626 + 0.719371i \(0.744430\pi\)
\(702\) 5.61337 0.444566i 0.211863 0.0167791i
\(703\) −0.212757 + 0.932150i −0.00802429 + 0.0351567i
\(704\) 12.4092 + 9.39050i 0.467688 + 0.353918i
\(705\) 6.89938i 0.259846i
\(706\) −10.4148 + 15.4155i −0.391967 + 0.580171i
\(707\) −20.8363 + 25.2981i −0.783630 + 0.951431i
\(708\) −3.32238 + 5.86872i −0.124863 + 0.220560i
\(709\) −0.711945 3.11923i −0.0267376 0.117145i 0.959798 0.280692i \(-0.0905638\pi\)
−0.986536 + 0.163546i \(0.947707\pi\)
\(710\) 1.75359 0.549050i 0.0658109 0.0206055i
\(711\) 10.7273 8.55472i 0.402305 0.320827i
\(712\) 28.1309 23.0241i 1.05425 0.862864i
\(713\) −14.5552 + 3.32213i −0.545096 + 0.124415i
\(714\) −9.94007 + 24.4910i −0.371998 + 0.916552i
\(715\) −18.7656 4.28313i −0.701795 0.160180i
\(716\) −11.5857 + 12.7004i −0.432978 + 0.474636i
\(717\) 22.4304i 0.837680i
\(718\) −24.5478 + 36.3345i −0.916114 + 1.35599i
\(719\) 7.40551 3.56631i 0.276179 0.133001i −0.290668 0.956824i \(-0.593877\pi\)
0.566847 + 0.823823i \(0.308163\pi\)
\(720\) −6.88378 7.17150i −0.256543 0.267266i
\(721\) 31.6889 + 26.1000i 1.18015 + 0.972014i
\(722\) 12.9520 + 22.2157i 0.482022 + 0.826784i
\(723\) 4.49970 + 1.02703i 0.167346 + 0.0381955i
\(724\) −4.00611 25.1332i −0.148886 0.934068i
\(725\) 4.27395 2.05822i 0.158730 0.0764406i
\(726\) 9.73892 3.04927i 0.361445 0.113169i
\(727\) −10.9840 5.28964i −0.407376 0.196182i 0.218962 0.975733i \(-0.429733\pi\)
−0.626338 + 0.779552i \(0.715447\pi\)
\(728\) 18.5056 + 23.3529i 0.685862 + 0.865514i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 21.4302 20.0538i 0.793168 0.742225i
\(731\) 3.76166 + 16.4809i 0.139130 + 0.609568i
\(732\) −12.2545 + 4.92965i −0.452938 + 0.182205i
\(733\) 25.0378 + 19.9670i 0.924792 + 0.737497i 0.965152 0.261688i \(-0.0842793\pi\)
−0.0403607 + 0.999185i \(0.512851\pi\)
\(734\) 15.9889 41.2515i 0.590159 1.52262i
\(735\) −17.0738 + 3.33366i −0.629775 + 0.122964i
\(736\) −3.78699 + 13.2678i −0.139590 + 0.489057i
\(737\) −7.02037 + 8.80327i −0.258599 + 0.324273i
\(738\) 10.7813 + 11.5213i 0.396867 + 0.424106i
\(739\) 40.1734 9.16931i 1.47780 0.337298i 0.593735 0.804661i \(-0.297653\pi\)
0.884066 + 0.467362i \(0.154796\pi\)
\(740\) −4.87976 + 1.96300i −0.179384 + 0.0721614i
\(741\) 1.56088 + 3.24120i 0.0573404 + 0.119068i
\(742\) 16.0329 9.01124i 0.588587 0.330813i
\(743\) −15.5809 + 32.3540i −0.571606 + 1.18695i 0.392084 + 0.919929i \(0.371754\pi\)
−0.963690 + 0.267023i \(0.913960\pi\)
\(744\) 15.6922 + 7.31293i 0.575302 + 0.268105i
\(745\) 22.5340 + 46.7922i 0.825580 + 1.71433i
\(746\) 10.7929 + 18.5124i 0.395155 + 0.677786i
\(747\) −3.09669 + 13.5675i −0.113302 + 0.496408i
\(748\) 27.1397 4.32594i 0.992326 0.158172i
\(749\) 4.09754 1.89418i 0.149721 0.0692117i
\(750\) 4.01568 + 12.8255i 0.146632 + 0.468322i
\(751\) 10.7444 + 22.3110i 0.392068 + 0.814138i 0.999800 + 0.0199959i \(0.00636530\pi\)
−0.607732 + 0.794142i \(0.707920\pi\)
\(752\) 11.0073 + 1.46894i 0.401396 + 0.0535669i
\(753\) −12.0752 −0.440044
\(754\) −21.1779 8.20842i −0.771253 0.298933i
\(755\) 7.78245 34.0971i 0.283232 1.24092i
\(756\) −4.56308 2.67923i −0.165958 0.0974427i
\(757\) 2.96712 + 12.9998i 0.107842 + 0.472486i 0.999793 + 0.0203540i \(0.00647934\pi\)
−0.891951 + 0.452132i \(0.850664\pi\)
\(758\) 3.53024 24.1138i 0.128224 0.875851i
\(759\) −2.95821 3.70948i −0.107376 0.134646i
\(760\) 2.68264 5.75643i 0.0973095 0.208807i
\(761\) −28.5105 + 6.50734i −1.03351 + 0.235891i −0.705444 0.708766i \(-0.749252\pi\)
−0.328061 + 0.944656i \(0.606395\pi\)
\(762\) 1.78419 12.1871i 0.0646342 0.441493i
\(763\) −10.2984 + 7.94999i −0.372826 + 0.287809i
\(764\) 7.80433 + 11.2412i 0.282351 + 0.406692i
\(765\) −17.5554 −0.634715
\(766\) −14.4504 + 37.2823i −0.522114 + 1.34706i
\(767\) 13.0894 + 2.98757i 0.472631 + 0.107875i
\(768\) 12.9071 9.45554i 0.465744 0.341197i
\(769\) 23.2163 18.5144i 0.837201 0.667645i −0.107994 0.994151i \(-0.534443\pi\)
0.945195 + 0.326506i \(0.105871\pi\)
\(770\) 12.1489 + 13.4006i 0.437815 + 0.482926i
\(771\) −11.9213 9.50692i −0.429335 0.342383i