Properties

Label 403.2.bl.b.16.6
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.6
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.74019 - 0.774780i) q^{2} +(-0.239952 + 2.28299i) q^{3} +(1.08970 + 1.21023i) q^{4} +3.51072 q^{5} +(2.18638 - 3.78692i) q^{6} +(1.97153 + 2.18961i) q^{7} +(0.218662 + 0.672972i) q^{8} +(-2.22004 - 0.471884i) q^{9} +O(q^{10})\) \(q+(-1.74019 - 0.774780i) q^{2} +(-0.239952 + 2.28299i) q^{3} +(1.08970 + 1.21023i) q^{4} +3.51072 q^{5} +(2.18638 - 3.78692i) q^{6} +(1.97153 + 2.18961i) q^{7} +(0.218662 + 0.672972i) q^{8} +(-2.22004 - 0.471884i) q^{9} +(-6.10930 - 2.72004i) q^{10} +(3.45353 - 0.734070i) q^{11} +(-3.02443 + 2.19738i) q^{12} +(2.27365 - 2.79831i) q^{13} +(-1.73437 - 5.33783i) q^{14} +(-0.842405 + 8.01495i) q^{15} +(0.481349 - 4.57973i) q^{16} +(-6.08742 - 1.29392i) q^{17} +(3.49767 + 2.54121i) q^{18} +(-0.154003 - 1.46524i) q^{19} +(3.82563 + 4.24879i) q^{20} +(-5.47194 + 3.97560i) q^{21} +(-6.57852 - 1.39831i) q^{22} +(0.858693 - 0.953675i) q^{23} +(-1.58886 + 0.337723i) q^{24} +7.32516 q^{25} +(-6.12464 + 3.10800i) q^{26} +(-0.518098 + 1.59454i) q^{27} +(-0.501561 + 4.77203i) q^{28} +(3.45688 + 1.53910i) q^{29} +(7.67577 - 13.2948i) q^{30} +(2.87974 - 4.76520i) q^{31} +(-3.67831 + 6.37102i) q^{32} +(0.847195 + 8.06053i) q^{33} +(9.59073 + 6.96807i) q^{34} +(6.92151 + 7.68711i) q^{35} +(-1.84808 - 3.20097i) q^{36} +(1.83185 + 3.17285i) q^{37} +(-0.867245 + 2.66911i) q^{38} +(5.84295 + 5.86218i) q^{39} +(0.767661 + 2.36262i) q^{40} +(-10.7968 - 4.80704i) q^{41} +(12.6024 - 2.67872i) q^{42} +(1.32672 + 12.6229i) q^{43} +(4.65170 + 3.37966i) q^{44} +(-7.79394 - 1.65665i) q^{45} +(-2.23317 + 0.994273i) q^{46} +(-1.14888 - 0.834707i) q^{47} +(10.3400 + 2.19783i) q^{48} +(-0.175748 + 1.67213i) q^{49} +(-12.7471 - 5.67539i) q^{50} +(4.41470 - 13.5871i) q^{51} +(5.86419 - 0.297670i) q^{52} +(-3.28293 - 10.1038i) q^{53} +(2.13701 - 2.37339i) q^{54} +(12.1244 - 2.57712i) q^{55} +(-1.04245 + 1.80557i) q^{56} +3.38208 q^{57} +(-4.82315 - 5.35665i) q^{58} +(0.605054 - 0.269387i) q^{59} +(-10.6179 + 7.71437i) q^{60} +(-2.41970 + 4.19105i) q^{61} +(-8.70326 + 6.06116i) q^{62} +(-3.34364 - 5.79136i) q^{63} +(3.88612 - 2.82343i) q^{64} +(7.98214 - 9.82408i) q^{65} +(4.77086 - 14.6832i) q^{66} +(-2.86156 - 4.95636i) q^{67} +(-5.06750 - 8.77717i) q^{68} +(1.97119 + 2.18923i) q^{69} +(-6.08888 - 18.7396i) q^{70} +(-4.30568 - 0.915200i) q^{71} +(-0.167873 - 1.59721i) q^{72} +(-4.12324 + 12.6900i) q^{73} +(-0.729490 - 6.94063i) q^{74} +(-1.75769 + 16.7233i) q^{75} +(1.60546 - 1.78305i) q^{76} +(8.41608 + 6.11464i) q^{77} +(-5.62592 - 14.7283i) q^{78} +(-0.369399 - 1.13689i) q^{79} +(1.68988 - 16.0781i) q^{80} +(-9.73626 - 4.33486i) q^{81} +(15.0640 + 16.7303i) q^{82} +(-6.70803 + 4.87367i) q^{83} +(-10.7742 - 2.29012i) q^{84} +(-21.3712 - 4.54259i) q^{85} +(7.47123 - 22.9941i) q^{86} +(-4.34325 + 7.52273i) q^{87} +(1.24916 + 2.16362i) q^{88} +(-13.5540 + 2.88100i) q^{89} +(12.2793 + 8.92147i) q^{90} +(10.6098 - 0.538559i) q^{91} +2.08989 q^{92} +(10.1879 + 7.71784i) q^{93} +(1.35254 + 2.34267i) q^{94} +(-0.540661 - 5.14405i) q^{95} +(-13.6624 - 9.92630i) q^{96} +(-5.08302 - 5.64526i) q^{97} +(1.60137 - 2.77366i) q^{98} -8.01337 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.74019 0.774780i −1.23050 0.547852i −0.314584 0.949230i \(-0.601865\pi\)
−0.915913 + 0.401377i \(0.868532\pi\)
\(3\) −0.239952 + 2.28299i −0.138537 + 1.31809i 0.675537 + 0.737326i \(0.263912\pi\)
−0.814074 + 0.580761i \(0.802755\pi\)
\(4\) 1.08970 + 1.21023i 0.544849 + 0.605116i
\(5\) 3.51072 1.57004 0.785021 0.619469i \(-0.212652\pi\)
0.785021 + 0.619469i \(0.212652\pi\)
\(6\) 2.18638 3.78692i 0.892586 1.54600i
\(7\) 1.97153 + 2.18961i 0.745170 + 0.827595i 0.989866 0.142005i \(-0.0453548\pi\)
−0.244696 + 0.969600i \(0.578688\pi\)
\(8\) 0.218662 + 0.672972i 0.0773087 + 0.237932i
\(9\) −2.22004 0.471884i −0.740013 0.157295i
\(10\) −6.10930 2.72004i −1.93193 0.860151i
\(11\) 3.45353 0.734070i 1.04128 0.221331i 0.344626 0.938740i \(-0.388006\pi\)
0.696652 + 0.717409i \(0.254672\pi\)
\(12\) −3.02443 + 2.19738i −0.873077 + 0.634328i
\(13\) 2.27365 2.79831i 0.630596 0.776111i
\(14\) −1.73437 5.33783i −0.463529 1.42660i
\(15\) −0.842405 + 8.01495i −0.217508 + 2.06945i
\(16\) 0.481349 4.57973i 0.120337 1.14493i
\(17\) −6.08742 1.29392i −1.47642 0.313822i −0.601803 0.798644i \(-0.705551\pi\)
−0.874613 + 0.484823i \(0.838884\pi\)
\(18\) 3.49767 + 2.54121i 0.824409 + 0.598968i
\(19\) −0.154003 1.46524i −0.0353307 0.336149i −0.997882 0.0650495i \(-0.979279\pi\)
0.962551 0.271099i \(-0.0873872\pi\)
\(20\) 3.82563 + 4.24879i 0.855436 + 0.950058i
\(21\) −5.47194 + 3.97560i −1.19408 + 0.867547i
\(22\) −6.57852 1.39831i −1.40255 0.298120i
\(23\) 0.858693 0.953675i 0.179050 0.198855i −0.646939 0.762542i \(-0.723951\pi\)
0.825988 + 0.563687i \(0.190618\pi\)
\(24\) −1.58886 + 0.337723i −0.324325 + 0.0689373i
\(25\) 7.32516 1.46503
\(26\) −6.12464 + 3.10800i −1.20114 + 0.609528i
\(27\) −0.518098 + 1.59454i −0.0997081 + 0.306870i
\(28\) −0.501561 + 4.77203i −0.0947860 + 0.901829i
\(29\) 3.45688 + 1.53910i 0.641927 + 0.285804i 0.701770 0.712403i \(-0.252393\pi\)
−0.0598431 + 0.998208i \(0.519060\pi\)
\(30\) 7.67577 13.2948i 1.40140 2.42729i
\(31\) 2.87974 4.76520i 0.517216 0.855855i
\(32\) −3.67831 + 6.37102i −0.650240 + 1.12625i
\(33\) 0.847195 + 8.06053i 0.147478 + 1.40316i
\(34\) 9.59073 + 6.96807i 1.64480 + 1.19501i
\(35\) 6.92151 + 7.68711i 1.16995 + 1.29936i
\(36\) −1.84808 3.20097i −0.308014 0.533496i
\(37\) 1.83185 + 3.17285i 0.301154 + 0.521614i 0.976398 0.215981i \(-0.0692949\pi\)
−0.675244 + 0.737595i \(0.735962\pi\)
\(38\) −0.867245 + 2.66911i −0.140686 + 0.432986i
\(39\) 5.84295 + 5.86218i 0.935621 + 0.938700i
\(40\) 0.767661 + 2.36262i 0.121378 + 0.373563i
\(41\) −10.7968 4.80704i −1.68618 0.750734i −0.999722 0.0235608i \(-0.992500\pi\)
−0.686454 0.727173i \(-0.740834\pi\)
\(42\) 12.6024 2.67872i 1.94459 0.413336i
\(43\) 1.32672 + 12.6229i 0.202323 + 1.92497i 0.351546 + 0.936170i \(0.385656\pi\)
−0.149224 + 0.988803i \(0.547677\pi\)
\(44\) 4.65170 + 3.37966i 0.701270 + 0.509503i
\(45\) −7.79394 1.65665i −1.16185 0.246959i
\(46\) −2.23317 + 0.994273i −0.329263 + 0.146598i
\(47\) −1.14888 0.834707i −0.167581 0.121754i 0.500834 0.865543i \(-0.333027\pi\)
−0.668415 + 0.743789i \(0.733027\pi\)
\(48\) 10.3400 + 2.19783i 1.49245 + 0.317230i
\(49\) −0.175748 + 1.67213i −0.0251069 + 0.238876i
\(50\) −12.7471 5.67539i −1.80272 0.802621i
\(51\) 4.41470 13.5871i 0.618182 1.90257i
\(52\) 5.86419 0.297670i 0.813217 0.0412794i
\(53\) −3.28293 10.1038i −0.450946 1.38787i −0.875830 0.482621i \(-0.839685\pi\)
0.424884 0.905248i \(-0.360315\pi\)
\(54\) 2.13701 2.37339i 0.290810 0.322977i
\(55\) 12.1244 2.57712i 1.63485 0.347498i
\(56\) −1.04245 + 1.80557i −0.139303 + 0.241280i
\(57\) 3.38208 0.447968
\(58\) −4.82315 5.35665i −0.633310 0.703363i
\(59\) 0.605054 0.269387i 0.0787713 0.0350713i −0.366973 0.930232i \(-0.619606\pi\)
0.445744 + 0.895160i \(0.352939\pi\)
\(60\) −10.6179 + 7.71437i −1.37077 + 0.995921i
\(61\) −2.41970 + 4.19105i −0.309811 + 0.536609i −0.978321 0.207095i \(-0.933599\pi\)
0.668510 + 0.743703i \(0.266932\pi\)
\(62\) −8.70326 + 6.06116i −1.10531 + 0.769768i
\(63\) −3.34364 5.79136i −0.421259 0.729642i
\(64\) 3.88612 2.82343i 0.485765 0.352929i
\(65\) 7.98214 9.82408i 0.990062 1.21853i
\(66\) 4.77086 14.6832i 0.587252 1.80738i
\(67\) −2.86156 4.95636i −0.349595 0.605516i 0.636583 0.771209i \(-0.280347\pi\)
−0.986177 + 0.165692i \(0.947014\pi\)
\(68\) −5.06750 8.77717i −0.614525 1.06439i
\(69\) 1.97119 + 2.18923i 0.237303 + 0.263552i
\(70\) −6.08888 18.7396i −0.727760 2.23982i
\(71\) −4.30568 0.915200i −0.510990 0.108614i −0.0548011 0.998497i \(-0.517452\pi\)
−0.456189 + 0.889883i \(0.650786\pi\)
\(72\) −0.167873 1.59721i −0.0197841 0.188233i
\(73\) −4.12324 + 12.6900i −0.482589 + 1.48525i 0.352855 + 0.935678i \(0.385211\pi\)
−0.835443 + 0.549577i \(0.814789\pi\)
\(74\) −0.729490 6.94063i −0.0848015 0.806832i
\(75\) −1.75769 + 16.7233i −0.202960 + 1.93104i
\(76\) 1.60546 1.78305i 0.184159 0.204530i
\(77\) 8.41608 + 6.11464i 0.959101 + 0.696828i
\(78\) −5.62592 14.7283i −0.637010 1.66765i
\(79\) −0.369399 1.13689i −0.0415606 0.127910i 0.928123 0.372273i \(-0.121421\pi\)
−0.969684 + 0.244362i \(0.921421\pi\)
\(80\) 1.68988 16.0781i 0.188934 1.79759i
\(81\) −9.73626 4.33486i −1.08181 0.481651i
\(82\) 15.0640 + 16.7303i 1.66354 + 1.84755i
\(83\) −6.70803 + 4.87367i −0.736302 + 0.534954i −0.891551 0.452921i \(-0.850382\pi\)
0.155249 + 0.987875i \(0.450382\pi\)
\(84\) −10.7742 2.29012i −1.17556 0.249872i
\(85\) −21.3712 4.54259i −2.31803 0.492713i
\(86\) 7.47123 22.9941i 0.805644 2.47952i
\(87\) −4.34325 + 7.52273i −0.465645 + 0.806521i
\(88\) 1.24916 + 2.16362i 0.133161 + 0.230642i
\(89\) −13.5540 + 2.88100i −1.43672 + 0.305385i −0.859473 0.511181i \(-0.829208\pi\)
−0.577252 + 0.816566i \(0.695875\pi\)
\(90\) 12.2793 + 8.92147i 1.29436 + 0.940405i
\(91\) 10.6098 0.538559i 1.11221 0.0564563i
\(92\) 2.08989 0.217886
\(93\) 10.1879 + 7.71784i 1.05644 + 0.800303i
\(94\) 1.35254 + 2.34267i 0.139504 + 0.241628i
\(95\) −0.540661 5.14405i −0.0554706 0.527768i
\(96\) −13.6624 9.92630i −1.39441 1.01310i
\(97\) −5.08302 5.64526i −0.516102 0.573190i 0.427607 0.903965i \(-0.359357\pi\)
−0.943710 + 0.330775i \(0.892690\pi\)
\(98\) 1.60137 2.77366i 0.161763 0.280182i
\(99\) −8.01337 −0.805373
\(100\) 7.98221 + 8.86514i 0.798221 + 0.886514i
\(101\) 1.98100 2.20013i 0.197117 0.218921i −0.636481 0.771293i \(-0.719610\pi\)
0.833598 + 0.552372i \(0.186277\pi\)
\(102\) −18.2094 + 20.2236i −1.80300 + 2.00243i
\(103\) 10.3062 7.48790i 1.01550 0.737805i 0.0501452 0.998742i \(-0.484032\pi\)
0.965356 + 0.260937i \(0.0840316\pi\)
\(104\) 2.38034 + 0.918218i 0.233412 + 0.0900387i
\(105\) −19.2105 + 13.9572i −1.87475 + 1.36208i
\(106\) −2.11534 + 20.1261i −0.205460 + 1.95482i
\(107\) −3.33213 + 3.70071i −0.322129 + 0.357761i −0.882359 0.470576i \(-0.844046\pi\)
0.560230 + 0.828337i \(0.310713\pi\)
\(108\) −2.49434 + 1.11055i −0.240018 + 0.106863i
\(109\) 11.6313 + 8.45060i 1.11407 + 0.809421i 0.983300 0.181991i \(-0.0582543\pi\)
0.130772 + 0.991412i \(0.458254\pi\)
\(110\) −23.0954 4.90907i −2.20206 0.468061i
\(111\) −7.68316 + 3.42076i −0.729253 + 0.324684i
\(112\) 10.9768 7.97512i 1.03721 0.753578i
\(113\) −3.46698 3.85047i −0.326146 0.362222i 0.557665 0.830066i \(-0.311697\pi\)
−0.883811 + 0.467844i \(0.845031\pi\)
\(114\) −5.88545 2.62037i −0.551223 0.245420i
\(115\) 3.01463 3.34809i 0.281116 0.312211i
\(116\) 1.90429 + 5.86079i 0.176809 + 0.544161i
\(117\) −6.36806 + 5.13946i −0.588727 + 0.475143i
\(118\) −1.26162 −0.116142
\(119\) −9.16837 15.8801i −0.840463 1.45573i
\(120\) −5.57804 + 1.18565i −0.509203 + 0.108234i
\(121\) 1.33900 0.596163i 0.121728 0.0541967i
\(122\) 7.45787 5.41846i 0.675204 0.490564i
\(123\) 13.5652 23.4956i 1.22313 2.11852i
\(124\) 8.90504 1.70747i 0.799696 0.153336i
\(125\) 8.16298 0.730119
\(126\) 1.33153 + 12.6686i 0.118622 + 1.12861i
\(127\) 0.746283 7.10040i 0.0662219 0.630059i −0.910197 0.414175i \(-0.864070\pi\)
0.976419 0.215884i \(-0.0692633\pi\)
\(128\) 5.44163 1.15665i 0.480976 0.102235i
\(129\) −29.1363 −2.56531
\(130\) −21.5019 + 10.9113i −1.88584 + 0.956985i
\(131\) −0.803928 + 2.47424i −0.0702396 + 0.216175i −0.980014 0.198927i \(-0.936254\pi\)
0.909775 + 0.415102i \(0.136254\pi\)
\(132\) −8.83192 + 9.80884i −0.768720 + 0.853750i
\(133\) 2.90468 3.22598i 0.251868 0.279728i
\(134\) 1.13955 + 10.8421i 0.0984419 + 0.936612i
\(135\) −1.81890 + 5.59799i −0.156546 + 0.481798i
\(136\) −0.460314 4.37959i −0.0394716 0.375547i
\(137\) −14.8923 + 6.63050i −1.27234 + 0.566482i −0.928076 0.372391i \(-0.878538\pi\)
−0.344263 + 0.938873i \(0.611871\pi\)
\(138\) −1.73406 5.33690i −0.147613 0.454307i
\(139\) 3.95048 1.75887i 0.335075 0.149185i −0.232301 0.972644i \(-0.574625\pi\)
0.567376 + 0.823459i \(0.307959\pi\)
\(140\) −1.76084 + 16.7533i −0.148818 + 1.41591i
\(141\) 2.18130 2.42258i 0.183699 0.204018i
\(142\) 6.78360 + 4.92857i 0.569267 + 0.413596i
\(143\) 5.79795 11.3331i 0.484849 0.947718i
\(144\) −3.22971 + 9.94003i −0.269143 + 0.828336i
\(145\) 12.1361 + 5.40336i 1.00785 + 0.448725i
\(146\) 17.0072 18.8884i 1.40752 1.56321i
\(147\) −3.77530 0.802465i −0.311381 0.0661862i
\(148\) −1.84373 + 5.67441i −0.151554 + 0.466434i
\(149\) 1.21094 2.09742i 0.0992045 0.171827i −0.812151 0.583447i \(-0.801704\pi\)
0.911356 + 0.411620i \(0.135037\pi\)
\(150\) 16.0156 27.7398i 1.30767 2.26494i
\(151\) 3.65083 11.2361i 0.297100 0.914380i −0.685408 0.728159i \(-0.740376\pi\)
0.982508 0.186221i \(-0.0596240\pi\)
\(152\) 0.952391 0.424032i 0.0772491 0.0343935i
\(153\) 12.9037 + 5.74511i 1.04320 + 0.464464i
\(154\) −9.90803 17.1612i −0.798412 1.38289i
\(155\) 10.1100 16.7293i 0.812051 1.34373i
\(156\) −0.727547 + 13.4593i −0.0582504 + 1.07761i
\(157\) 4.77449 3.46887i 0.381046 0.276846i −0.380731 0.924686i \(-0.624327\pi\)
0.761776 + 0.647840i \(0.224327\pi\)
\(158\) −0.238020 + 2.26461i −0.0189358 + 0.180162i
\(159\) 23.8547 5.07048i 1.89180 0.402115i
\(160\) −12.9135 + 22.3669i −1.02090 + 1.76826i
\(161\) 3.78112 0.297994
\(162\) 13.5843 + 15.0869i 1.06729 + 1.18534i
\(163\) 17.5868 + 3.73819i 1.37750 + 0.292798i 0.836383 0.548146i \(-0.184666\pi\)
0.541122 + 0.840944i \(0.318000\pi\)
\(164\) −5.94761 18.3049i −0.464430 1.42937i
\(165\) 2.97427 + 28.2983i 0.231546 + 2.20302i
\(166\) 15.4492 3.28383i 1.19909 0.254875i
\(167\) −9.06913 4.03783i −0.701790 0.312457i 0.0246411 0.999696i \(-0.492156\pi\)
−0.726431 + 0.687239i \(0.758822\pi\)
\(168\) −3.87197 2.81315i −0.298729 0.217039i
\(169\) −2.66106 12.7247i −0.204697 0.978825i
\(170\) 33.6704 + 24.4630i 2.58240 + 1.87622i
\(171\) −0.349530 + 3.32556i −0.0267293 + 0.254312i
\(172\) −13.8309 + 15.3608i −1.05460 + 1.17125i
\(173\) 12.9526 5.76687i 0.984768 0.438447i 0.149782 0.988719i \(-0.452143\pi\)
0.834985 + 0.550272i \(0.185476\pi\)
\(174\) 13.3865 9.72588i 1.01483 0.737317i
\(175\) 14.4418 + 16.0392i 1.09170 + 1.21245i
\(176\) −1.69949 16.1696i −0.128104 1.21883i
\(177\) 0.469826 + 1.44597i 0.0353143 + 0.108686i
\(178\) 25.8187 + 5.48793i 1.93519 + 0.411338i
\(179\) −20.2150 + 4.29683i −1.51094 + 0.321160i −0.887535 0.460740i \(-0.847584\pi\)
−0.623404 + 0.781900i \(0.714251\pi\)
\(180\) −6.48810 11.2377i −0.483595 0.837611i
\(181\) −15.6882 −1.16609 −0.583047 0.812438i \(-0.698140\pi\)
−0.583047 + 0.812438i \(0.698140\pi\)
\(182\) −18.8802 7.28306i −1.39950 0.539856i
\(183\) −8.98752 6.52982i −0.664377 0.482698i
\(184\) 0.829560 + 0.369344i 0.0611560 + 0.0272284i
\(185\) 6.43111 + 11.1390i 0.472824 + 0.818956i
\(186\) −11.7492 21.3239i −0.861495 1.56354i
\(187\) −21.9729 −1.60682
\(188\) −0.241738 2.29998i −0.0176306 0.167744i
\(189\) −4.51288 + 2.00926i −0.328263 + 0.146152i
\(190\) −3.04465 + 9.37048i −0.220882 + 0.679806i
\(191\) 3.27047 5.66463i 0.236643 0.409878i −0.723106 0.690737i \(-0.757286\pi\)
0.959749 + 0.280859i \(0.0906194\pi\)
\(192\) 5.51339 + 9.54947i 0.397895 + 0.689174i
\(193\) −7.10658 + 1.51055i −0.511543 + 0.108732i −0.456449 0.889749i \(-0.650879\pi\)
−0.0550934 + 0.998481i \(0.517546\pi\)
\(194\) 4.47155 + 13.7620i 0.321039 + 0.988056i
\(195\) 20.5130 + 20.5805i 1.46896 + 1.47380i
\(196\) −2.21518 + 1.60942i −0.158227 + 0.114959i
\(197\) 23.3307 4.95910i 1.66225 0.353322i 0.721496 0.692419i \(-0.243455\pi\)
0.940751 + 0.339097i \(0.110122\pi\)
\(198\) 13.9447 + 6.20860i 0.991009 + 0.441226i
\(199\) 3.07037 1.36702i 0.217653 0.0969052i −0.295014 0.955493i \(-0.595324\pi\)
0.512667 + 0.858588i \(0.328658\pi\)
\(200\) 1.60173 + 4.92963i 0.113260 + 0.348577i
\(201\) 12.0020 5.34363i 0.846555 0.376910i
\(202\) −5.15193 + 2.29379i −0.362488 + 0.161390i
\(203\) 3.44533 + 10.6036i 0.241815 + 0.744229i
\(204\) 21.2542 9.46298i 1.48809 0.662541i
\(205\) −37.9045 16.8762i −2.64737 1.17868i
\(206\) −23.7362 + 5.04528i −1.65378 + 0.351521i
\(207\) −2.35636 + 1.71199i −0.163778 + 0.118992i
\(208\) −11.7211 11.7596i −0.812710 0.815384i
\(209\) −1.60744 4.94720i −0.111189 0.342205i
\(210\) 44.2435 9.40425i 3.05309 0.648955i
\(211\) 5.00824 + 8.67453i 0.344781 + 0.597179i 0.985314 0.170752i \(-0.0546197\pi\)
−0.640533 + 0.767931i \(0.721286\pi\)
\(212\) 8.65058 14.9832i 0.594124 1.02905i
\(213\) 3.12255 9.61023i 0.213954 0.658482i
\(214\) 8.66576 3.85825i 0.592379 0.263744i
\(215\) 4.65774 + 44.3155i 0.317655 + 3.02229i
\(216\) −1.18637 −0.0807223
\(217\) 16.1114 3.08925i 1.09372 0.209712i
\(218\) −13.6932 23.7173i −0.927419 1.60634i
\(219\) −27.9819 12.4583i −1.89084 0.841856i
\(220\) 16.3308 + 11.8650i 1.10102 + 0.799941i
\(221\) −17.4614 + 14.0926i −1.17458 + 0.947968i
\(222\) 16.0205 1.07522
\(223\) 8.33122 + 14.4301i 0.557900 + 0.966310i 0.997672 + 0.0682010i \(0.0217259\pi\)
−0.439772 + 0.898109i \(0.644941\pi\)
\(224\) −21.2020 + 4.50662i −1.41662 + 0.301111i
\(225\) −16.2621 3.45662i −1.08414 0.230442i
\(226\) 3.04992 + 9.38668i 0.202877 + 0.624393i
\(227\) 0.107529 + 1.02307i 0.00713692 + 0.0679033i 0.997511 0.0705159i \(-0.0224645\pi\)
−0.990374 + 0.138419i \(0.955798\pi\)
\(228\) 3.68545 + 4.09311i 0.244075 + 0.271073i
\(229\) 9.88459 7.18157i 0.653192 0.474572i −0.211165 0.977450i \(-0.567726\pi\)
0.864357 + 0.502879i \(0.167726\pi\)
\(230\) −7.84005 + 3.49061i −0.516957 + 0.230164i
\(231\) −15.9791 + 17.7466i −1.05135 + 1.16764i
\(232\) −0.279885 + 2.66293i −0.0183754 + 0.174830i
\(233\) 13.7553 + 9.99382i 0.901141 + 0.654717i 0.938759 0.344575i \(-0.111977\pi\)
−0.0376179 + 0.999292i \(0.511977\pi\)
\(234\) 15.0636 4.00976i 0.984735 0.262126i
\(235\) −4.03338 2.93042i −0.263109 0.191160i
\(236\) 0.985348 + 0.438705i 0.0641407 + 0.0285573i
\(237\) 2.68416 0.570535i 0.174355 0.0370603i
\(238\) 3.65109 + 34.7378i 0.236665 + 2.25171i
\(239\) 7.45373 + 22.9402i 0.482142 + 1.48388i 0.836078 + 0.548611i \(0.184843\pi\)
−0.353936 + 0.935270i \(0.615157\pi\)
\(240\) 36.3008 + 7.71597i 2.34321 + 0.498064i
\(241\) −15.3079 17.0012i −0.986071 1.09514i −0.995459 0.0951873i \(-0.969655\pi\)
0.00938797 0.999956i \(-0.497012\pi\)
\(242\) −2.79201 −0.179477
\(243\) 9.71779 16.8317i 0.623397 1.07975i
\(244\) −7.70889 + 1.63857i −0.493511 + 0.104899i
\(245\) −0.617003 + 5.87039i −0.0394189 + 0.375046i
\(246\) −41.8098 + 30.3766i −2.66569 + 1.93674i
\(247\) −4.45034 2.90049i −0.283168 0.184554i
\(248\) 3.83653 + 0.896016i 0.243620 + 0.0568971i
\(249\) −9.51694 16.4838i −0.603112 1.04462i
\(250\) −14.2051 6.32452i −0.898409 0.399998i
\(251\) 7.73122 3.44216i 0.487990 0.217267i −0.147966 0.988992i \(-0.547273\pi\)
0.635956 + 0.771725i \(0.280606\pi\)
\(252\) 3.36533 10.3574i 0.211996 0.652456i
\(253\) 2.26546 3.92389i 0.142428 0.246693i
\(254\) −6.79992 + 11.7778i −0.426665 + 0.739006i
\(255\) 15.4988 47.7004i 0.970572 2.98711i
\(256\) −19.7627 4.20068i −1.23517 0.262543i
\(257\) 15.3992 17.1026i 0.960576 1.06683i −0.0371417 0.999310i \(-0.511825\pi\)
0.997718 0.0675181i \(-0.0215080\pi\)
\(258\) 50.7026 + 22.5743i 3.15661 + 1.40541i
\(259\) −3.33576 + 10.2664i −0.207274 + 0.637924i
\(260\) 20.5875 1.04504i 1.27679 0.0648104i
\(261\) −6.94814 5.04812i −0.430079 0.312471i
\(262\) 3.31597 3.68276i 0.204862 0.227522i
\(263\) −0.249146 + 2.37046i −0.0153630 + 0.146169i −0.999514 0.0311613i \(-0.990079\pi\)
0.984151 + 0.177330i \(0.0567461\pi\)
\(264\) −5.23926 + 2.33267i −0.322454 + 0.143566i
\(265\) −11.5255 35.4717i −0.708004 2.17901i
\(266\) −7.55411 + 3.36330i −0.463172 + 0.206217i
\(267\) −3.32498 31.6351i −0.203485 1.93604i
\(268\) 2.88012 8.86409i 0.175931 0.541461i
\(269\) −1.64917 15.6908i −0.100551 0.956683i −0.922207 0.386698i \(-0.873616\pi\)
0.821655 0.569985i \(-0.193051\pi\)
\(270\) 7.50243 8.33230i 0.456584 0.507087i
\(271\) −2.40020 + 2.66569i −0.145802 + 0.161929i −0.811622 0.584183i \(-0.801415\pi\)
0.665820 + 0.746112i \(0.268082\pi\)
\(272\) −8.85597 + 27.2559i −0.536972 + 1.65263i
\(273\) −1.31631 + 24.3513i −0.0796669 + 1.47381i
\(274\) 31.0526 1.87596
\(275\) 25.2976 5.37718i 1.52551 0.324256i
\(276\) −0.501473 + 4.77119i −0.0301851 + 0.287192i
\(277\) −0.686942 6.53582i −0.0412744 0.392699i −0.995584 0.0938787i \(-0.970073\pi\)
0.954309 0.298821i \(-0.0965933\pi\)
\(278\) −8.23729 −0.494040
\(279\) −8.64175 + 9.22002i −0.517368 + 0.551988i
\(280\) −3.65974 + 6.33886i −0.218711 + 0.378819i
\(281\) −12.0274 + 8.73839i −0.717492 + 0.521288i −0.885582 0.464483i \(-0.846240\pi\)
0.168090 + 0.985772i \(0.446240\pi\)
\(282\) −5.67284 + 2.52571i −0.337813 + 0.150404i
\(283\) −8.99384 + 1.91170i −0.534628 + 0.113639i −0.467311 0.884093i \(-0.654777\pi\)
−0.0673170 + 0.997732i \(0.521444\pi\)
\(284\) −3.58428 6.20816i −0.212688 0.368387i
\(285\) 11.8736 0.703329
\(286\) −18.8701 + 15.2295i −1.11581 + 0.900538i
\(287\) −10.7607 33.1180i −0.635184 1.95490i
\(288\) 11.1724 12.4082i 0.658339 0.731159i
\(289\) 19.8522 + 8.83875i 1.16777 + 0.519926i
\(290\) −16.9327 18.8057i −0.994324 1.10431i
\(291\) 14.1078 10.2499i 0.827013 0.600860i
\(292\) −19.8510 + 8.83822i −1.16169 + 0.517218i
\(293\) 8.82602 + 1.87603i 0.515621 + 0.109599i 0.458371 0.888761i \(-0.348433\pi\)
0.0572507 + 0.998360i \(0.481767\pi\)
\(294\) 5.94798 + 4.32146i 0.346894 + 0.252033i
\(295\) 2.12418 0.945744i 0.123674 0.0550633i
\(296\) −1.73469 + 1.92656i −0.100827 + 0.111979i
\(297\) −0.618761 + 5.88712i −0.0359042 + 0.341605i
\(298\) −3.73231 + 2.71168i −0.216207 + 0.157083i
\(299\) −0.716313 4.57121i −0.0414254 0.264360i
\(300\) −22.1544 + 16.0961i −1.27909 + 0.929310i
\(301\) −25.0236 + 27.7915i −1.44233 + 1.60187i
\(302\) −15.0586 + 16.7243i −0.866526 + 0.962375i
\(303\) 4.54753 + 5.05054i 0.261249 + 0.290146i
\(304\) −6.78452 −0.389119
\(305\) −8.49490 + 14.7136i −0.486416 + 0.842498i
\(306\) −18.0037 19.9951i −1.02920 1.14304i
\(307\) −23.7562 17.2599i −1.35584 0.985073i −0.998698 0.0510218i \(-0.983752\pi\)
−0.357139 0.934051i \(-0.616248\pi\)
\(308\) 1.77085 + 16.8485i 0.100904 + 0.960034i
\(309\) 14.6218 + 25.3257i 0.831807 + 1.44073i
\(310\) −30.5547 + 21.2790i −1.73539 + 1.20857i
\(311\) 11.8948 0.674495 0.337247 0.941416i \(-0.390504\pi\)
0.337247 + 0.941416i \(0.390504\pi\)
\(312\) −2.66745 + 5.21398i −0.151015 + 0.295184i
\(313\) 4.76019 + 3.45848i 0.269062 + 0.195485i 0.714132 0.700011i \(-0.246821\pi\)
−0.445071 + 0.895495i \(0.646821\pi\)
\(314\) −10.9961 + 2.33730i −0.620546 + 0.131901i
\(315\) −11.7386 20.3318i −0.661395 1.14557i
\(316\) 0.973372 1.68593i 0.0547564 0.0948409i
\(317\) −3.56246 + 10.9641i −0.200088 + 0.615807i 0.799792 + 0.600278i \(0.204943\pi\)
−0.999879 + 0.0155293i \(0.995057\pi\)
\(318\) −45.4402 9.65860i −2.54816 0.541628i
\(319\) 13.0683 + 2.77774i 0.731682 + 0.155524i
\(320\) 13.6431 9.91227i 0.762671 0.554113i
\(321\) −7.64914 8.49523i −0.426933 0.474158i
\(322\) −6.57985 2.92954i −0.366681 0.163257i
\(323\) −0.958424 + 9.11879i −0.0533281 + 0.507383i
\(324\) −5.36339 16.5068i −0.297966 0.917046i
\(325\) 16.6548 20.4981i 0.923843 1.13703i
\(326\) −27.7080 20.1311i −1.53461 1.11496i
\(327\) −22.0836 + 24.5263i −1.22123 + 1.35631i
\(328\) 0.874158 8.31706i 0.0482673 0.459233i
\(329\) −0.437364 4.16124i −0.0241127 0.229417i
\(330\) 16.7492 51.5486i 0.922011 2.83766i
\(331\) 0.111738 + 1.06312i 0.00614167 + 0.0584341i 0.997163 0.0752663i \(-0.0239807\pi\)
−0.991022 + 0.133700i \(0.957314\pi\)
\(332\) −13.2080 2.80745i −0.724883 0.154079i
\(333\) −2.56955 7.90828i −0.140811 0.433371i
\(334\) 12.6535 + 14.0532i 0.692370 + 0.768955i
\(335\) −10.0461 17.4004i −0.548879 0.950686i
\(336\) 15.5732 + 26.9736i 0.849590 + 1.47153i
\(337\) −0.0669525 + 0.206059i −0.00364713 + 0.0112247i −0.952864 0.303399i \(-0.901878\pi\)
0.949216 + 0.314624i \(0.101878\pi\)
\(338\) −5.22814 + 24.2051i −0.284373 + 1.31659i
\(339\) 9.62251 6.99116i 0.522623 0.379708i
\(340\) −17.7906 30.8142i −0.964830 1.67113i
\(341\) 6.44727 18.5707i 0.349139 1.00566i
\(342\) 3.18483 5.51628i 0.172216 0.298286i
\(343\) 12.6781 9.21115i 0.684551 0.497356i
\(344\) −8.20476 + 3.65299i −0.442371 + 0.196956i
\(345\) 6.92029 + 7.68576i 0.372576 + 0.413788i
\(346\) −27.0080 −1.45196
\(347\) −4.62976 + 8.01899i −0.248539 + 0.430482i −0.963121 0.269070i \(-0.913284\pi\)
0.714582 + 0.699552i \(0.246617\pi\)
\(348\) −13.8371 + 2.94116i −0.741746 + 0.157663i
\(349\) −14.6350 + 16.2538i −0.783394 + 0.870047i −0.994207 0.107479i \(-0.965722\pi\)
0.210814 + 0.977526i \(0.432389\pi\)
\(350\) −12.7045 39.1005i −0.679085 2.09001i
\(351\) 3.28405 + 5.07523i 0.175290 + 0.270895i
\(352\) −8.02638 + 24.7027i −0.427807 + 1.31666i
\(353\) −25.7283 11.4550i −1.36938 0.609686i −0.415420 0.909630i \(-0.636365\pi\)
−0.953957 + 0.299944i \(0.903032\pi\)
\(354\) 0.302729 2.88027i 0.0160899 0.153085i
\(355\) −15.1160 3.21301i −0.802275 0.170529i
\(356\) −18.2565 13.2641i −0.967592 0.702997i
\(357\) 38.4541 17.1209i 2.03521 0.906133i
\(358\) 38.5069 + 8.18490i 2.03515 + 0.432585i
\(359\) −29.0702 21.1207i −1.53427 1.11471i −0.953807 0.300420i \(-0.902873\pi\)
−0.580459 0.814289i \(-0.697127\pi\)
\(360\) −0.589356 5.60735i −0.0310618 0.295533i
\(361\) 16.4616 3.49902i 0.866400 0.184159i
\(362\) 27.3004 + 12.1549i 1.43487 + 0.638847i
\(363\) 1.03974 + 3.19999i 0.0545722 + 0.167956i
\(364\) 12.2132 + 12.2534i 0.640148 + 0.642254i
\(365\) −14.4755 + 44.5511i −0.757684 + 2.33191i
\(366\) 10.5808 + 18.3264i 0.553066 + 0.957938i
\(367\) 9.95544 + 17.2433i 0.519670 + 0.900095i 0.999739 + 0.0228637i \(0.00727838\pi\)
−0.480069 + 0.877231i \(0.659388\pi\)
\(368\) −3.95424 4.39163i −0.206129 0.228929i
\(369\) 21.7009 + 15.7667i 1.12971 + 0.820779i
\(370\) −2.56103 24.3666i −0.133142 1.26676i
\(371\) 15.6510 27.1084i 0.812562 1.40740i
\(372\) 1.76137 + 20.7399i 0.0913227 + 1.07531i
\(373\) 5.44831 9.43675i 0.282103 0.488617i −0.689800 0.724000i \(-0.742301\pi\)
0.971903 + 0.235384i \(0.0756347\pi\)
\(374\) 38.2369 + 17.0242i 1.97718 + 0.880299i
\(375\) −1.95873 + 18.6360i −0.101148 + 0.962361i
\(376\) 0.310519 0.955680i 0.0160138 0.0492854i
\(377\) 12.1666 6.17405i 0.626613 0.317980i
\(378\) 9.40998 0.483997
\(379\) 13.1096 2.78653i 0.673394 0.143134i 0.141491 0.989940i \(-0.454810\pi\)
0.531903 + 0.846805i \(0.321477\pi\)
\(380\) 5.63633 6.25978i 0.289138 0.321120i
\(381\) 16.0311 + 3.40752i 0.821298 + 0.174572i
\(382\) −10.0801 + 7.32360i −0.515741 + 0.374708i
\(383\) 10.3653 + 11.5118i 0.529640 + 0.588225i 0.947288 0.320384i \(-0.103812\pi\)
−0.417648 + 0.908609i \(0.637145\pi\)
\(384\) 1.33490 + 12.7007i 0.0681214 + 0.648132i
\(385\) 29.5465 + 21.4668i 1.50583 + 1.09405i
\(386\) 13.5371 + 2.87740i 0.689020 + 0.146456i
\(387\) 3.01117 28.6494i 0.153066 1.45633i
\(388\) 1.29313 12.3033i 0.0656485 0.624604i
\(389\) −0.0658263 0.202593i −0.00333753 0.0102718i 0.949374 0.314148i \(-0.101719\pi\)
−0.952711 + 0.303877i \(0.901719\pi\)
\(390\) −19.7510 51.7069i −1.00013 2.61828i
\(391\) −6.46120 + 4.69434i −0.326757 + 0.237403i
\(392\) −1.16373 + 0.247358i −0.0587772 + 0.0124935i
\(393\) −5.45576 2.42906i −0.275207 0.122530i
\(394\) −44.4420 9.44645i −2.23896 0.475905i
\(395\) −1.29686 3.99131i −0.0652519 0.200825i
\(396\) −8.73215 9.69803i −0.438807 0.487345i
\(397\) 4.54618 7.87422i 0.228166 0.395196i −0.729098 0.684409i \(-0.760060\pi\)
0.957265 + 0.289213i \(0.0933937\pi\)
\(398\) −6.40215 −0.320911
\(399\) 6.66790 + 7.40545i 0.333812 + 0.370736i
\(400\) 3.52595 33.5472i 0.176298 1.67736i
\(401\) 10.6266 + 4.73126i 0.530666 + 0.236268i 0.654536 0.756031i \(-0.272864\pi\)
−0.123870 + 0.992298i \(0.539531\pi\)
\(402\) −25.0258 −1.24817
\(403\) −6.78698 18.8928i −0.338084 0.941116i
\(404\) 4.82136 0.239872
\(405\) −34.1813 15.2185i −1.69848 0.756213i
\(406\) 2.21997 21.1216i 0.110175 1.04825i
\(407\) 8.65544 + 9.61284i 0.429034 + 0.476491i
\(408\) 10.1090 0.500472
\(409\) 17.1607 29.7233i 0.848544 1.46972i −0.0339631 0.999423i \(-0.510813\pi\)
0.882507 0.470299i \(-0.155854\pi\)
\(410\) 52.8856 + 58.7354i 2.61183 + 2.90073i
\(411\) −11.5639 35.5901i −0.570407 1.75553i
\(412\) 20.2928 + 4.31336i 0.999752 + 0.212504i
\(413\) 1.78274 + 0.793726i 0.0877228 + 0.0390567i
\(414\) 5.42691 1.15353i 0.266718 0.0566927i
\(415\) −23.5500 + 17.1101i −1.15602 + 0.839901i
\(416\) 9.46490 + 24.7785i 0.464055 + 1.21487i
\(417\) 3.06755 + 9.44095i 0.150219 + 0.462325i
\(418\) −1.03574 + 9.85445i −0.0506599 + 0.481997i
\(419\) 3.15500 30.0178i 0.154132 1.46647i −0.594828 0.803853i \(-0.702780\pi\)
0.748960 0.662615i \(-0.230553\pi\)
\(420\) −37.8251 8.03997i −1.84567 0.392310i
\(421\) −7.38902 5.36844i −0.360119 0.261642i 0.392983 0.919546i \(-0.371443\pi\)
−0.753102 + 0.657904i \(0.771443\pi\)
\(422\) −1.99441 18.9756i −0.0970865 0.923716i
\(423\) 2.15666 + 2.39522i 0.104861 + 0.116459i
\(424\) 6.08175 4.41865i 0.295356 0.214589i
\(425\) −44.5913 9.47817i −2.16300 0.459759i
\(426\) −12.8796 + 14.3043i −0.624020 + 0.693045i
\(427\) −13.9473 + 2.96459i −0.674957 + 0.143466i
\(428\) −8.10974 −0.391999
\(429\) 24.4821 + 15.9561i 1.18201 + 0.770367i
\(430\) 26.2294 80.7258i 1.26489 3.89295i
\(431\) −2.23636 + 21.2776i −0.107722 + 1.02490i 0.798469 + 0.602036i \(0.205644\pi\)
−0.906191 + 0.422869i \(0.861023\pi\)
\(432\) 7.05318 + 3.14028i 0.339346 + 0.151087i
\(433\) −6.93886 + 12.0185i −0.333461 + 0.577571i −0.983188 0.182597i \(-0.941550\pi\)
0.649727 + 0.760167i \(0.274883\pi\)
\(434\) −30.4304 7.10696i −1.46070 0.341145i
\(435\) −15.2479 + 26.4102i −0.731083 + 1.26627i
\(436\) 2.44737 + 23.2851i 0.117208 + 1.11516i
\(437\) −1.52960 1.11132i −0.0731709 0.0531617i
\(438\) 39.0411 + 43.3596i 1.86546 + 2.07180i
\(439\) 13.4636 + 23.3196i 0.642582 + 1.11298i 0.984854 + 0.173384i \(0.0554702\pi\)
−0.342272 + 0.939601i \(0.611197\pi\)
\(440\) 4.38547 + 7.59585i 0.209069 + 0.362118i
\(441\) 1.17922 3.62927i 0.0561534 0.172822i
\(442\) 41.3047 10.9949i 1.96467 0.522973i
\(443\) −0.901012 2.77303i −0.0428084 0.131751i 0.927368 0.374150i \(-0.122066\pi\)
−0.970177 + 0.242400i \(0.922066\pi\)
\(444\) −12.5122 5.57081i −0.593805 0.264379i
\(445\) −47.5844 + 10.1144i −2.25572 + 0.479468i
\(446\) −3.31771 31.5659i −0.157098 1.49469i
\(447\) 4.49782 + 3.26786i 0.212740 + 0.154564i
\(448\) 13.8438 + 2.94260i 0.654059 + 0.139025i
\(449\) −4.85783 + 2.16285i −0.229255 + 0.102071i −0.518150 0.855290i \(-0.673379\pi\)
0.288894 + 0.957361i \(0.406712\pi\)
\(450\) 25.6210 + 18.6147i 1.20779 + 0.877508i
\(451\) −40.8158 8.67566i −1.92194 0.408521i
\(452\) 0.882004 8.39170i 0.0414860 0.394713i
\(453\) 24.7759 + 11.0309i 1.16407 + 0.518279i
\(454\) 0.605532 1.86364i 0.0284190 0.0874648i
\(455\) 37.2480 1.89073i 1.74621 0.0886388i
\(456\) 0.739533 + 2.27605i 0.0346318 + 0.106586i
\(457\) 12.3071 13.6684i 0.575701 0.639380i −0.383017 0.923741i \(-0.625115\pi\)
0.958717 + 0.284361i \(0.0917814\pi\)
\(458\) −22.7652 + 4.83888i −1.06375 + 0.226106i
\(459\) 5.21709 9.03627i 0.243513 0.421777i
\(460\) 7.33700 0.342089
\(461\) 2.82501 + 3.13749i 0.131574 + 0.146128i 0.805331 0.592825i \(-0.201987\pi\)
−0.673757 + 0.738953i \(0.735321\pi\)
\(462\) 41.5564 18.5021i 1.93338 0.860796i
\(463\) −16.9363 + 12.3050i −0.787098 + 0.571860i −0.907101 0.420913i \(-0.861710\pi\)
0.120003 + 0.992774i \(0.461710\pi\)
\(464\) 8.71264 15.0907i 0.404474 0.700570i
\(465\) 35.7669 + 27.0952i 1.65865 + 1.25651i
\(466\) −16.1938 28.0485i −0.750162 1.29932i
\(467\) 13.9149 10.1098i 0.643904 0.467824i −0.217285 0.976108i \(-0.569720\pi\)
0.861189 + 0.508284i \(0.169720\pi\)
\(468\) −13.1592 2.10638i −0.608284 0.0973674i
\(469\) 5.21085 16.0373i 0.240615 0.740536i
\(470\) 4.74839 + 8.22446i 0.219027 + 0.379366i
\(471\) 6.77376 + 11.7325i 0.312118 + 0.540605i
\(472\) 0.313592 + 0.348280i 0.0144343 + 0.0160309i
\(473\) 13.8480 + 42.6196i 0.636730 + 1.95965i
\(474\) −5.11297 1.08680i −0.234847 0.0499182i
\(475\) −1.12810 10.7331i −0.0517606 0.492469i
\(476\) 9.22784 28.4004i 0.422957 1.30173i
\(477\) 2.52041 + 23.9801i 0.115402 + 1.09797i
\(478\) 4.80277 45.6953i 0.219673 2.09005i
\(479\) 17.1876 19.0888i 0.785322 0.872188i −0.209075 0.977900i \(-0.567045\pi\)
0.994397 + 0.105712i \(0.0337120\pi\)
\(480\) −47.9648 34.8485i −2.18928 1.59061i
\(481\) 13.0436 + 2.08787i 0.594737 + 0.0951988i
\(482\) 13.4665 + 41.4455i 0.613381 + 1.88779i
\(483\) −0.907288 + 8.63227i −0.0412831 + 0.392782i
\(484\) 2.18061 + 0.970869i 0.0991185 + 0.0441304i
\(485\) −17.8451 19.8189i −0.810302 0.899932i
\(486\) −29.9516 + 21.7611i −1.35863 + 0.987105i
\(487\) −13.6779 2.90733i −0.619805 0.131744i −0.112702 0.993629i \(-0.535950\pi\)
−0.507103 + 0.861885i \(0.669284\pi\)
\(488\) −3.34955 0.711970i −0.151627 0.0322294i
\(489\) −12.7543 + 39.2536i −0.576767 + 1.77511i
\(490\) 5.62197 9.73753i 0.253975 0.439897i
\(491\) 16.2891 + 28.2135i 0.735116 + 1.27326i 0.954673 + 0.297658i \(0.0962055\pi\)
−0.219557 + 0.975600i \(0.570461\pi\)
\(492\) 43.2170 9.18606i 1.94837 0.414140i
\(493\) −19.0520 13.8421i −0.858060 0.623417i
\(494\) 5.49717 + 8.49542i 0.247329 + 0.382227i
\(495\) −28.1327 −1.26447
\(496\) −20.4371 15.4821i −0.917655 0.695168i
\(497\) −6.48486 11.2321i −0.290886 0.503829i
\(498\) 3.78990 + 36.0584i 0.169829 + 1.61582i
\(499\) 1.15504 + 0.839186i 0.0517067 + 0.0375671i 0.613338 0.789820i \(-0.289826\pi\)
−0.561632 + 0.827387i \(0.689826\pi\)
\(500\) 8.89519 + 9.87911i 0.397805 + 0.441807i
\(501\) 11.3945 19.7359i 0.509069 0.881733i
\(502\) −16.1207 −0.719501
\(503\) 5.93720 + 6.59393i 0.264727 + 0.294009i 0.860823 0.508904i \(-0.169949\pi\)
−0.596097 + 0.802913i \(0.703283\pi\)
\(504\) 3.16629 3.51653i 0.141038 0.156639i
\(505\) 6.95475 7.72403i 0.309482 0.343715i
\(506\) −6.98246 + 5.07306i −0.310408 + 0.225525i
\(507\) 29.6890 3.02185i 1.31853 0.134205i
\(508\) 9.40636 6.83412i 0.417340 0.303215i
\(509\) 2.44005 23.2155i 0.108153 1.02901i −0.797015 0.603959i \(-0.793589\pi\)
0.905169 0.425052i \(-0.139744\pi\)
\(510\) −63.9281 + 70.9993i −2.83078 + 3.14390i
\(511\) −35.9153 + 15.9905i −1.58880 + 0.707379i
\(512\) 22.1346 + 16.0818i 0.978222 + 0.710720i
\(513\) 2.41617 + 0.513574i 0.106677 + 0.0226748i
\(514\) −40.0482 + 17.8306i −1.76645 + 0.786474i
\(515\) 36.1822 26.2879i 1.59438 1.15838i
\(516\) −31.7498 35.2617i −1.39771 1.55231i
\(517\) −4.58041 2.03933i −0.201446 0.0896896i
\(518\) 13.7591 15.2810i 0.604539 0.671408i
\(519\) 10.0577 + 30.9545i 0.441485 + 1.35875i
\(520\) 8.35672 + 3.22361i 0.366466 + 0.141364i
\(521\) 31.0520 1.36041 0.680206 0.733021i \(-0.261890\pi\)
0.680206 + 0.733021i \(0.261890\pi\)
\(522\) 8.17986 + 14.1679i 0.358023 + 0.620114i
\(523\) −39.6317 + 8.42397i −1.73297 + 0.368355i −0.962954 0.269667i \(-0.913086\pi\)
−0.770019 + 0.638021i \(0.779753\pi\)
\(524\) −3.87044 + 1.72323i −0.169081 + 0.0752797i
\(525\) −40.0828 + 29.1219i −1.74936 + 1.27098i
\(526\) 2.27015 3.93201i 0.0989831 0.171444i
\(527\) −23.6960 + 25.2816i −1.03221 + 1.10128i
\(528\) 37.3228 1.62427
\(529\) 2.23201 + 21.2362i 0.0970440 + 0.923312i
\(530\) −7.42636 + 70.6571i −0.322580 + 3.06915i
\(531\) −1.47036 + 0.312535i −0.0638083 + 0.0135629i
\(532\) 7.06941 0.306498
\(533\) −37.9997 + 19.2832i −1.64595 + 0.835250i
\(534\) −18.7242 + 57.6270i −0.810273 + 2.49376i
\(535\) −11.6982 + 12.9922i −0.505757 + 0.561700i
\(536\) 2.70978 3.00952i 0.117045 0.129991i
\(537\) −4.95900 47.1817i −0.213997 2.03604i
\(538\) −9.28704 + 28.5826i −0.400393 + 1.23228i
\(539\) 0.620512 + 5.90377i 0.0267273 + 0.254294i
\(540\) −8.75692 + 3.89883i −0.376838 + 0.167779i
\(541\) −2.23846 6.88928i −0.0962391 0.296193i 0.891336 0.453344i \(-0.149769\pi\)
−0.987575 + 0.157151i \(0.949769\pi\)
\(542\) 6.24212 2.77917i 0.268122 0.119376i
\(543\) 3.76442 35.8160i 0.161547 1.53701i
\(544\) 30.6350 34.0236i 1.31347 1.45875i
\(545\) 40.8341 + 29.6677i 1.74914 + 1.27082i
\(546\) 21.1575 41.3559i 0.905459 1.76987i
\(547\) 1.63602 5.03516i 0.0699513 0.215288i −0.909969 0.414675i \(-0.863895\pi\)
0.979921 + 0.199387i \(0.0638952\pi\)
\(548\) −24.2526 10.7980i −1.03602 0.461266i
\(549\) 7.34952 8.16247i 0.313670 0.348366i
\(550\) −48.1887 10.2428i −2.05477 0.436756i
\(551\) 1.72278 5.30219i 0.0733931 0.225881i
\(552\) −1.04226 + 1.80526i −0.0443617 + 0.0768368i
\(553\) 1.76107 3.05026i 0.0748883 0.129710i
\(554\) −3.86842 + 11.9058i −0.164353 + 0.505828i
\(555\) −26.9734 + 12.0093i −1.14496 + 0.509768i
\(556\) 6.43346 + 2.86436i 0.272840 + 0.121476i
\(557\) 9.64387 + 16.7037i 0.408624 + 0.707757i 0.994736 0.102473i \(-0.0326755\pi\)
−0.586112 + 0.810230i \(0.699342\pi\)
\(558\) 22.1817 9.34909i 0.939028 0.395778i
\(559\) 38.3393 + 24.9874i 1.62158 + 1.05686i
\(560\) 38.5365 27.9984i 1.62847 1.18315i
\(561\) 5.27245 50.1640i 0.222603 2.11793i
\(562\) 27.7002 5.88785i 1.16846 0.248364i
\(563\) −12.1949 + 21.1222i −0.513954 + 0.890194i 0.485915 + 0.874006i \(0.338486\pi\)
−0.999869 + 0.0161883i \(0.994847\pi\)
\(564\) 5.30885 0.223543
\(565\) −12.1716 13.5179i −0.512063 0.568704i
\(566\) 17.1321 + 3.64154i 0.720115 + 0.153065i
\(567\) −9.70371 29.8649i −0.407517 1.25421i
\(568\) −0.325583 3.09772i −0.0136612 0.129977i
\(569\) 34.0647 7.24068i 1.42807 0.303545i 0.571933 0.820300i \(-0.306194\pi\)
0.856133 + 0.516755i \(0.172860\pi\)
\(570\) −20.6622 9.19940i −0.865444 0.385320i
\(571\) 7.19971 + 5.23089i 0.301298 + 0.218906i 0.728154 0.685414i \(-0.240379\pi\)
−0.426855 + 0.904320i \(0.640379\pi\)
\(572\) 20.0337 5.33274i 0.837649 0.222973i
\(573\) 12.1475 + 8.82571i 0.507471 + 0.368699i
\(574\) −6.93359 + 65.9687i −0.289402 + 2.75348i
\(575\) 6.29006 6.98582i 0.262314 0.291329i
\(576\) −9.95966 + 4.43433i −0.414986 + 0.184764i
\(577\) −22.2707 + 16.1806i −0.927139 + 0.673606i −0.945291 0.326229i \(-0.894222\pi\)
0.0181514 + 0.999835i \(0.494222\pi\)
\(578\) −27.6983 30.7621i −1.15210 1.27954i
\(579\) −1.74334 16.5867i −0.0724505 0.689321i
\(580\) 6.68542 + 20.5756i 0.277597 + 0.854355i
\(581\) −23.8965 5.07937i −0.991396 0.210728i
\(582\) −32.4916 + 6.90630i −1.34682 + 0.286275i
\(583\) −18.7546 32.4840i −0.776738 1.34535i
\(584\) −9.44163 −0.390697
\(585\) −22.3565 + 18.0432i −0.924327 + 0.745994i
\(586\) −13.9054 10.1029i −0.574426 0.417345i
\(587\) −20.9983 9.34903i −0.866691 0.385876i −0.0752816 0.997162i \(-0.523986\pi\)
−0.791409 + 0.611287i \(0.790652\pi\)
\(588\) −3.14277 5.44343i −0.129606 0.224483i
\(589\) −7.42564 3.48565i −0.305968 0.143624i
\(590\) −4.42920 −0.182347
\(591\) 5.72333 + 54.4539i 0.235427 + 2.23993i
\(592\) 15.4126 6.86211i 0.633452 0.282031i
\(593\) −8.87089 + 27.3018i −0.364284 + 1.12115i 0.586145 + 0.810206i \(0.300645\pi\)
−0.950428 + 0.310943i \(0.899355\pi\)
\(594\) 5.63798 9.76527i 0.231329 0.400674i
\(595\) −32.1876 55.7505i −1.31956 2.28555i
\(596\) 3.85793 0.820028i 0.158027 0.0335897i
\(597\) 2.38415 + 7.33765i 0.0975767 + 0.300310i
\(598\) −2.29517 + 8.50973i −0.0938563 + 0.347989i
\(599\) −15.9615 + 11.5967i −0.652169 + 0.473828i −0.864009 0.503476i \(-0.832054\pi\)
0.211841 + 0.977304i \(0.432054\pi\)
\(600\) −11.6386 + 2.47387i −0.475146 + 0.100995i
\(601\) 25.1923 + 11.2163i 1.02761 + 0.457523i 0.850115 0.526598i \(-0.176533\pi\)
0.177499 + 0.984121i \(0.443199\pi\)
\(602\) 65.0779 28.9746i 2.65238 1.18091i
\(603\) 4.01394 + 12.3536i 0.163460 + 0.503079i
\(604\) 17.5766 7.82560i 0.715181 0.318419i
\(605\) 4.70087 2.09296i 0.191118 0.0850910i
\(606\) −4.00048 12.3122i −0.162508 0.500149i
\(607\) 8.62186 3.83870i 0.349951 0.155808i −0.224231 0.974536i \(-0.571987\pi\)
0.574182 + 0.818728i \(0.305320\pi\)
\(608\) 9.90154 + 4.40845i 0.401561 + 0.178786i
\(609\) −25.0347 + 5.32129i −1.01446 + 0.215630i
\(610\) 26.1825 19.0227i 1.06010 0.770207i
\(611\) −4.94790 + 1.31708i −0.200171 + 0.0532833i
\(612\) 7.10825 + 21.8769i 0.287334 + 0.884323i
\(613\) −25.6695 + 5.45623i −1.03678 + 0.220375i −0.694704 0.719296i \(-0.744464\pi\)
−0.342079 + 0.939671i \(0.611131\pi\)
\(614\) 27.9675 + 48.4412i 1.12868 + 1.95493i
\(615\) 47.6235 82.4863i 1.92036 3.32617i
\(616\) −2.27471 + 7.00083i −0.0916505 + 0.282071i
\(617\) 25.2481 11.2412i 1.01645 0.452552i 0.170240 0.985403i \(-0.445546\pi\)
0.846210 + 0.532850i \(0.178879\pi\)
\(618\) −5.82279 55.4002i −0.234227 2.22852i
\(619\) 41.7090 1.67643 0.838214 0.545341i \(-0.183600\pi\)
0.838214 + 0.545341i \(0.183600\pi\)
\(620\) 31.2631 5.99447i 1.25556 0.240744i
\(621\) 1.07579 + 1.86332i 0.0431699 + 0.0747725i
\(622\) −20.6992 9.21589i −0.829963 0.369523i
\(623\) −33.0305 23.9981i −1.32334 0.961463i
\(624\) 29.6597 23.9374i 1.18734 0.958262i
\(625\) −7.96785 −0.318714
\(626\) −5.60405 9.70649i −0.223983 0.387950i
\(627\) 11.6801 2.48269i 0.466459 0.0991490i
\(628\) 9.40089 + 1.99822i 0.375137 + 0.0797377i
\(629\) −7.04580 21.6847i −0.280935 0.864628i
\(630\) 4.67461 + 44.4760i 0.186241 + 1.77197i
\(631\) 14.9594 + 16.6141i 0.595524 + 0.661397i 0.963272 0.268529i \(-0.0865375\pi\)
−0.367747 + 0.929926i \(0.619871\pi\)
\(632\) 0.684324 0.497190i 0.0272209 0.0197772i
\(633\) −21.0056 + 9.35231i −0.834899 + 0.371721i
\(634\) 14.6941 16.3195i 0.583579 0.648130i
\(635\) 2.61999 24.9275i 0.103971 0.989219i
\(636\) 32.1309 + 23.3445i 1.27407 + 0.925669i
\(637\) 4.27956 + 4.29364i 0.169562 + 0.170120i
\(638\) −20.5890 14.9588i −0.815128 0.592225i
\(639\) 9.12690 + 4.06356i 0.361055 + 0.160752i
\(640\) 19.1040 4.06069i 0.755153 0.160513i
\(641\) 2.73253 + 25.9983i 0.107929 + 1.02687i 0.905702 + 0.423915i \(0.139344\pi\)
−0.797774 + 0.602957i \(0.793989\pi\)
\(642\) 6.72898 + 20.7097i 0.265572 + 0.817346i
\(643\) 17.0314 + 3.62013i 0.671651 + 0.142764i 0.531099 0.847309i \(-0.321779\pi\)
0.140552 + 0.990073i \(0.455112\pi\)
\(644\) 4.12028 + 4.57604i 0.162362 + 0.180321i
\(645\) −102.290 −4.02765
\(646\) 8.73289 15.1258i 0.343591 0.595117i
\(647\) 20.1771 4.28878i 0.793244 0.168609i 0.206570 0.978432i \(-0.433770\pi\)
0.586675 + 0.809823i \(0.300437\pi\)
\(648\) 0.788292 7.50010i 0.0309670 0.294632i
\(649\) 1.89182 1.37449i 0.0742605 0.0539534i
\(650\) −44.8640 + 22.7666i −1.75971 + 0.892978i
\(651\) 3.18675 + 37.5236i 0.124899 + 1.47066i
\(652\) 14.6402 + 25.3576i 0.573356 + 0.993081i
\(653\) −0.700551 0.311905i −0.0274147 0.0122058i 0.392984 0.919546i \(-0.371443\pi\)
−0.420398 + 0.907340i \(0.638110\pi\)
\(654\) 57.4321 25.5704i 2.24577 0.999883i
\(655\) −2.82237 + 8.68636i −0.110279 + 0.339404i
\(656\) −27.2120 + 47.1325i −1.06245 + 1.84022i
\(657\) 15.1420 26.2267i 0.590744 1.02320i
\(658\) −2.46295 + 7.58019i −0.0960159 + 0.295507i
\(659\) 0.0963949 + 0.0204894i 0.00375501 + 0.000798152i 0.209789 0.977747i \(-0.432722\pi\)
−0.206034 + 0.978545i \(0.566056\pi\)
\(660\) −31.0064 + 34.4361i −1.20692 + 1.34042i
\(661\) 20.1267 + 8.96099i 0.782839 + 0.348542i 0.758930 0.651172i \(-0.225722\pi\)
0.0239084 + 0.999714i \(0.492389\pi\)
\(662\) 0.629236 1.93659i 0.0244560 0.0752677i
\(663\) −27.9833 43.2459i −1.08678 1.67953i
\(664\) −4.74663 3.44863i −0.184205 0.133833i
\(665\) 10.1975 11.3255i 0.395443 0.439184i
\(666\) −1.65568 + 15.7527i −0.0641561 + 0.610405i
\(667\) 4.43621 1.97513i 0.171771 0.0764772i
\(668\) −4.99589 15.3758i −0.193297 0.594906i
\(669\) −34.9429 + 15.5576i −1.35097 + 0.601491i
\(670\) 4.00063 + 38.0635i 0.154558 + 1.47052i
\(671\) −5.27999 + 16.2501i −0.203832 + 0.627330i
\(672\) −5.20112 49.4854i −0.200638 1.90894i
\(673\) −24.0324 + 26.6907i −0.926382 + 1.02885i 0.0731212 + 0.997323i \(0.476704\pi\)
−0.999503 + 0.0315280i \(0.989963\pi\)
\(674\) 0.276160 0.306706i 0.0106373 0.0118139i
\(675\) −3.79515 + 11.6803i −0.146075 + 0.449574i
\(676\) 12.5001 17.0866i 0.480774 0.657178i
\(677\) −31.1331 −1.19654 −0.598271 0.801294i \(-0.704145\pi\)
−0.598271 + 0.801294i \(0.704145\pi\)
\(678\) −22.1616 + 4.71059i −0.851110 + 0.180909i
\(679\) 2.33958 22.2597i 0.0897850 0.854247i
\(680\) −1.61603 15.3755i −0.0619721 0.589625i
\(681\) −2.36146 −0.0904912
\(682\) −25.6076 + 27.3212i −0.980567 + 1.04618i
\(683\) −10.7912 + 18.6909i −0.412914 + 0.715188i −0.995207 0.0977907i \(-0.968822\pi\)
0.582293 + 0.812979i \(0.302156\pi\)
\(684\) −4.40558 + 3.20084i −0.168452 + 0.122387i
\(685\) −52.2829 + 23.2778i −1.99763 + 0.889400i
\(686\) −29.1988 + 6.20640i −1.11482 + 0.236961i
\(687\) 14.0237 + 24.2897i 0.535036 + 0.926709i
\(688\) 58.4480 2.22831
\(689\) −35.7379 13.7859i −1.36150 0.525201i
\(690\) −6.08781 18.7364i −0.231759 0.713281i
\(691\) 0.131512 0.146058i 0.00500294 0.00555633i −0.740638 0.671904i \(-0.765477\pi\)
0.745641 + 0.666348i \(0.232143\pi\)
\(692\) 21.0937 + 9.39151i 0.801861 + 0.357012i
\(693\) −15.7986 17.5462i −0.600140 0.666523i
\(694\) 14.2696 10.3675i 0.541667 0.393544i
\(695\) 13.8690 6.17488i 0.526082 0.234227i
\(696\) −6.01229 1.27795i −0.227895 0.0484406i
\(697\) 59.5047 + 43.2327i 2.25390 + 1.63755i
\(698\) 38.0607 16.9457i 1.44062 0.641406i
\(699\) −26.1165 + 29.0053i −0.987815 + 1.09708i
\(700\) −3.67401 + 34.9559i −0.138865 + 1.32121i
\(701\) 35.0238 25.4463i 1.32283 0.961092i 0.322937 0.946420i \(-0.395330\pi\)
0.999892 0.0146718i \(-0.00467034\pi\)
\(702\) −1.78267 11.3762i −0.0672825 0.429369i
\(703\) 4.36688 3.17272i 0.164700 0.119662i
\(704\) 11.3482 12.6035i 0.427702 0.475012i
\(705\) 7.65795 8.50502i 0.288415 0.320317i
\(706\) 35.8968 + 39.8675i 1.35100 + 1.50043i
\(707\) 8.72304 0.328064
\(708\) −1.23800 + 2.14427i −0.0465268 + 0.0805867i
\(709\) 14.6428 + 16.2625i 0.549923 + 0.610752i 0.952464 0.304650i \(-0.0985395\pi\)
−0.402541 + 0.915402i \(0.631873\pi\)
\(710\) 23.8153 + 17.3028i 0.893773 + 0.649364i
\(711\) 0.283599 + 2.69826i 0.0106358 + 0.101193i
\(712\) −4.90258 8.49152i −0.183732 0.318233i
\(713\) −2.07164 6.83818i −0.0775835 0.256092i
\(714\) −80.1822 −3.00074
\(715\) 20.3550 39.7872i 0.761233 1.48796i
\(716\) −27.2284 19.7826i −1.01757 0.739310i
\(717\) −54.1609 + 11.5123i −2.02268 + 0.429933i
\(718\) 34.2236 + 59.2770i 1.27721 + 2.21220i
\(719\) −4.14945 + 7.18706i −0.154748 + 0.268032i −0.932967 0.359961i \(-0.882790\pi\)
0.778219 + 0.627993i \(0.216123\pi\)
\(720\) −11.3386 + 34.8967i −0.422565 + 1.30052i
\(721\) 36.7146 + 7.80394i 1.36732 + 0.290634i
\(722\) −31.3572 6.66518i −1.16699 0.248052i
\(723\) 42.4868 30.8685i 1.58010 1.14801i
\(724\) −17.0954 18.9864i −0.635345 0.705622i
\(725\) 25.3222 + 11.2742i 0.940443 + 0.418712i
\(726\) 0.669950 6.37414i 0.0248642 0.236567i
\(727\) −1.04590 3.21895i −0.0387903 0.119384i 0.929786 0.368100i \(-0.119992\pi\)
−0.968577 + 0.248716i \(0.919992\pi\)
\(728\) 2.68239 + 7.02232i 0.0994160 + 0.260265i
\(729\) 10.2282 + 7.43122i 0.378822 + 0.275230i
\(730\) 59.7074 66.3118i 2.20987 2.45431i
\(731\) 8.25673 78.5575i 0.305386 2.90556i
\(732\) −1.89109 17.9925i −0.0698967 0.665023i
\(733\) 13.3578 41.1109i 0.493380 1.51847i −0.326087 0.945340i \(-0.605730\pi\)
0.819467 0.573127i \(-0.194270\pi\)
\(734\) −3.96452 37.7199i −0.146333 1.39227i
\(735\) −13.2540 2.81723i −0.488882 0.103915i
\(736\) 2.91735 + 8.97867i 0.107535 + 0.330958i
\(737\) −13.5208 15.0164i −0.498045 0.553135i
\(738\) −25.5480 44.2504i −0.940433 1.62888i
\(739\) 23.5863 + 40.8527i 0.867636 + 1.50279i 0.864406 + 0.502795i \(0.167695\pi\)
0.00323038 + 0.999995i \(0.498972\pi\)
\(740\) −6.47282 + 19.9213i −0.237945 + 0.732321i
\(741\) 7.68967 9.46412i 0.282487 0.347673i
\(742\) −48.2388 + 35.0475i −1.77090 + 1.28664i
\(743\) 2.48290 + 4.30051i 0.0910888 + 0.157770i 0.907970 0.419036i \(-0.137632\pi\)
−0.816881 + 0.576807i \(0.804299\pi\)
\(744\) −2.96618 + 8.54378i −0.108746 + 0.313230i
\(745\) 4.25129 7.36345i 0.155755 0.269776i
\(746\) −16.7925 + 12.2005i −0.614817 + 0.446690i
\(747\) 17.1919 7.65432i 0.629018 0.280057i
\(748\) −23.9438 26.5923i −0.875473 0.972312i
\(749\) −14.6725 −0.536122
\(750\) 17.8474 30.9126i 0.651694 1.12877i
\(751\) 51.2936 10.9028i 1.87173 0.397849i 0.875398 0.483403i \(-0.160599\pi\)
0.996334 + 0.0855542i \(0.0272661\pi\)
\(752\) −4.37574 + 4.85975i −0.159567 + 0.177217i
\(753\) 6.00331 + 18.4763i 0.218773 + 0.673313i
\(754\) −25.9557 + 1.31753i −0.945251 + 0.0479815i
\(755\) 12.8170 39.4468i 0.466460 1.43562i
\(756\) −7.34935 3.27214i −0.267