Properties

Label 322.2.i.d.141.3
Level $322$
Weight $2$
Character 322.141
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 141.3
Character \(\chi\) \(=\) 322.141
Dual form 322.2.i.d.169.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.128569 - 0.281527i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.69136 + 1.95194i) q^{5} +(-0.296959 - 0.0871950i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.90185 + 2.19486i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.128569 - 0.281527i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.69136 + 1.95194i) q^{5} +(-0.296959 - 0.0871950i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.90185 + 2.19486i) q^{9} +(2.17278 + 1.39636i) q^{10} +(0.223366 - 1.55354i) q^{11} +(-0.0440458 + 0.306345i) q^{12} +(5.87583 + 3.77617i) q^{13} +(0.654861 + 0.755750i) q^{14} +(0.332066 + 0.727124i) q^{15} +(0.841254 - 0.540641i) q^{16} +(3.24670 + 0.953318i) q^{17} +(1.90185 - 2.19486i) q^{18} +(-2.78645 + 0.818176i) q^{19} +(1.07293 - 2.34938i) q^{20} +(0.0440458 + 0.306345i) q^{21} -1.56952 q^{22} +(-3.55335 + 3.22082i) q^{23} +0.309496 q^{24} +(-0.237776 - 1.65377i) q^{25} +(2.90151 - 6.35343i) q^{26} +(1.75331 - 0.514818i) q^{27} +(0.654861 - 0.755750i) q^{28} +(-4.89082 - 1.43608i) q^{29} +(0.672465 - 0.432167i) q^{30} +(2.08555 + 4.56673i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-0.408647 - 0.262621i) q^{33} +(0.481561 - 3.34933i) q^{34} +(0.367568 - 2.55649i) q^{35} +(-2.44318 - 1.57014i) q^{36} +(-1.70330 - 1.96571i) q^{37} +(1.20640 + 2.64165i) q^{38} +(1.81854 - 1.16871i) q^{39} +(-2.47816 - 0.727654i) q^{40} +(2.81451 - 3.24811i) q^{41} +(0.296959 - 0.0871950i) q^{42} +(0.433199 - 0.948573i) q^{43} +(0.223366 + 1.55354i) q^{44} -7.50095 q^{45} +(3.69373 + 3.05881i) q^{46} -4.35535 q^{47} +(-0.0440458 - 0.306345i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-1.60309 + 0.470711i) q^{50} +(0.685811 - 0.791468i) q^{51} +(-6.70169 - 1.96779i) q^{52} +(3.30701 - 2.12529i) q^{53} +(-0.759100 - 1.66220i) q^{54} +(2.65463 + 3.06360i) q^{55} +(-0.841254 - 0.540641i) q^{56} +(-0.127913 + 0.889654i) q^{57} +(-0.725421 + 5.04542i) q^{58} +(5.95911 + 3.82969i) q^{59} +(-0.523470 - 0.604116i) q^{60} +(3.26598 + 7.15149i) q^{61} +(4.22344 - 2.71424i) q^{62} +(-2.78657 - 0.818211i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-17.3090 + 5.08238i) q^{65} +(-0.201792 + 0.441862i) q^{66} +(-1.24794 - 8.67964i) q^{67} -3.38377 q^{68} +(0.449897 + 1.41446i) q^{69} -2.58278 q^{70} +(-1.40316 - 9.75920i) q^{71} +(-1.20645 + 2.64176i) q^{72} +(4.37444 - 1.28445i) q^{73} +(-1.70330 + 1.96571i) q^{74} +(-0.496151 - 0.145683i) q^{75} +(2.44307 - 1.57007i) q^{76} +(0.652002 + 1.42769i) q^{77} +(-1.41562 - 1.63371i) q^{78} +(-0.936623 - 0.601931i) q^{79} +(-0.367568 + 2.55649i) q^{80} +(-1.15945 + 8.06416i) q^{81} +(-3.61560 - 2.32360i) q^{82} +(-5.51811 - 6.36824i) q^{83} +(-0.128569 - 0.281527i) q^{84} +(-7.35218 + 4.72496i) q^{85} +(-1.00057 - 0.293794i) q^{86} +(-1.03310 + 1.19226i) q^{87} +(1.50594 - 0.442185i) q^{88} +(-5.26207 + 11.5223i) q^{89} +(1.06750 + 7.42460i) q^{90} -6.98462 q^{91} +(2.50201 - 4.09145i) q^{92} +1.55380 q^{93} +(0.619831 + 4.31102i) q^{94} +(3.11587 - 6.82281i) q^{95} +(-0.296959 + 0.0871950i) q^{96} +(7.73192 - 8.92312i) q^{97} +(-0.959493 - 0.281733i) q^{98} +(3.83462 - 2.46436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} + O(q^{10}) \) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} - 2q^{10} + 6q^{11} + 2q^{13} + 4q^{14} - 3q^{15} - 4q^{16} - 13q^{17} - 8q^{18} - 22q^{19} - 2q^{20} - 16q^{22} - 9q^{23} + 22q^{24} - 15q^{25} - 9q^{26} + 21q^{27} + 4q^{28} - 10q^{29} - 14q^{30} - 2q^{31} - 4q^{32} + 8q^{33} - 2q^{34} + 13q^{35} - 8q^{36} - 45q^{37} + 11q^{38} - 22q^{39} + 9q^{40} + 21q^{41} + 31q^{43} + 6q^{44} + 2q^{45} - 9q^{46} + 64q^{47} - 4q^{49} + 7q^{50} + 65q^{51} + 2q^{52} + 69q^{53} + 21q^{54} - 74q^{55} + 4q^{56} - 68q^{57} + 12q^{58} + 48q^{59} - 3q^{60} + 6q^{61} - 13q^{62} + 8q^{63} - 4q^{64} - 64q^{65} - 69q^{66} + 31q^{67} - 2q^{68} - 62q^{69} + 2q^{70} - 57q^{71} - 19q^{72} + 70q^{73} - 45q^{74} - 11q^{75} + 22q^{76} - 6q^{77} + 33q^{78} + 34q^{79} - 13q^{80} + 30q^{81} - 12q^{82} - 56q^{83} - 17q^{85} + 42q^{86} - 3q^{87} + 6q^{88} + 16q^{89} + 46q^{90} - 46q^{91} + 24q^{92} + 48q^{93} + 9q^{94} - 42q^{95} - 36q^{97} - 4q^{98} + 112q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{11}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 0.128569 0.281527i 0.0742294 0.162540i −0.868880 0.495024i \(-0.835159\pi\)
0.943109 + 0.332484i \(0.107887\pi\)
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.69136 + 1.95194i −0.756401 + 0.872933i −0.995172 0.0981427i \(-0.968710\pi\)
0.238772 + 0.971076i \(0.423255\pi\)
\(6\) −0.296959 0.0871950i −0.121233 0.0355972i
\(7\) −0.841254 + 0.540641i −0.317964 + 0.204343i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 1.90185 + 2.19486i 0.633952 + 0.731619i
\(10\) 2.17278 + 1.39636i 0.687092 + 0.441567i
\(11\) 0.223366 1.55354i 0.0673474 0.468411i −0.928041 0.372479i \(-0.878508\pi\)
0.995388 0.0959319i \(-0.0305831\pi\)
\(12\) −0.0440458 + 0.306345i −0.0127149 + 0.0884343i
\(13\) 5.87583 + 3.77617i 1.62966 + 1.04732i 0.949265 + 0.314478i \(0.101829\pi\)
0.680398 + 0.732843i \(0.261807\pi\)
\(14\) 0.654861 + 0.755750i 0.175019 + 0.201983i
\(15\) 0.332066 + 0.727124i 0.0857392 + 0.187743i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 3.24670 + 0.953318i 0.787441 + 0.231214i 0.650642 0.759385i \(-0.274500\pi\)
0.136800 + 0.990599i \(0.456318\pi\)
\(18\) 1.90185 2.19486i 0.448271 0.517333i
\(19\) −2.78645 + 0.818176i −0.639256 + 0.187702i −0.585269 0.810839i \(-0.699011\pi\)
−0.0539868 + 0.998542i \(0.517193\pi\)
\(20\) 1.07293 2.34938i 0.239914 0.525338i
\(21\) 0.0440458 + 0.306345i 0.00961159 + 0.0668501i
\(22\) −1.56952 −0.334623
\(23\) −3.55335 + 3.22082i −0.740925 + 0.671588i
\(24\) 0.309496 0.0631755
\(25\) −0.237776 1.65377i −0.0475551 0.330753i
\(26\) 2.90151 6.35343i 0.569034 1.24601i
\(27\) 1.75331 0.514818i 0.337424 0.0990767i
\(28\) 0.654861 0.755750i 0.123757 0.142823i
\(29\) −4.89082 1.43608i −0.908203 0.266672i −0.205919 0.978569i \(-0.566018\pi\)
−0.702284 + 0.711897i \(0.747836\pi\)
\(30\) 0.672465 0.432167i 0.122775 0.0789025i
\(31\) 2.08555 + 4.56673i 0.374577 + 0.820208i 0.999227 + 0.0393040i \(0.0125141\pi\)
−0.624651 + 0.780904i \(0.714759\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −0.408647 0.262621i −0.0711363 0.0457165i
\(34\) 0.481561 3.34933i 0.0825870 0.574405i
\(35\) 0.367568 2.55649i 0.0621304 0.432126i
\(36\) −2.44318 1.57014i −0.407196 0.261689i
\(37\) −1.70330 1.96571i −0.280021 0.323162i 0.598264 0.801299i \(-0.295857\pi\)
−0.878285 + 0.478138i \(0.841312\pi\)
\(38\) 1.20640 + 2.64165i 0.195704 + 0.428532i
\(39\) 1.81854 1.16871i 0.291200 0.187143i
\(40\) −2.47816 0.727654i −0.391832 0.115052i
\(41\) 2.81451 3.24811i 0.439552 0.507270i −0.492142 0.870515i \(-0.663786\pi\)
0.931694 + 0.363245i \(0.118331\pi\)
\(42\) 0.296959 0.0871950i 0.0458218 0.0134545i
\(43\) 0.433199 0.948573i 0.0660622 0.144656i −0.873721 0.486428i \(-0.838300\pi\)
0.939783 + 0.341772i \(0.111027\pi\)
\(44\) 0.223366 + 1.55354i 0.0336737 + 0.234206i
\(45\) −7.50095 −1.11818
\(46\) 3.69373 + 3.05881i 0.544611 + 0.450997i
\(47\) −4.35535 −0.635293 −0.317647 0.948209i \(-0.602893\pi\)
−0.317647 + 0.948209i \(0.602893\pi\)
\(48\) −0.0440458 0.306345i −0.00635747 0.0442172i
\(49\) 0.415415 0.909632i 0.0593450 0.129947i
\(50\) −1.60309 + 0.470711i −0.226712 + 0.0665685i
\(51\) 0.685811 0.791468i 0.0960328 0.110828i
\(52\) −6.70169 1.96779i −0.929357 0.272884i
\(53\) 3.30701 2.12529i 0.454253 0.291931i −0.293437 0.955978i \(-0.594799\pi\)
0.747690 + 0.664048i \(0.231163\pi\)
\(54\) −0.759100 1.66220i −0.103300 0.226196i
\(55\) 2.65463 + 3.06360i 0.357950 + 0.413096i
\(56\) −0.841254 0.540641i −0.112417 0.0722462i
\(57\) −0.127913 + 0.889654i −0.0169425 + 0.117838i
\(58\) −0.725421 + 5.04542i −0.0952525 + 0.662496i
\(59\) 5.95911 + 3.82969i 0.775810 + 0.498583i 0.867641 0.497192i \(-0.165636\pi\)
−0.0918308 + 0.995775i \(0.529272\pi\)
\(60\) −0.523470 0.604116i −0.0675797 0.0779911i
\(61\) 3.26598 + 7.15149i 0.418165 + 0.915654i 0.995101 + 0.0988646i \(0.0315211\pi\)
−0.576936 + 0.816790i \(0.695752\pi\)
\(62\) 4.22344 2.71424i 0.536377 0.344709i
\(63\) −2.78657 0.818211i −0.351075 0.103085i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −17.3090 + 5.08238i −2.14692 + 0.630392i
\(66\) −0.201792 + 0.441862i −0.0248389 + 0.0543895i
\(67\) −1.24794 8.67964i −0.152461 1.06039i −0.912078 0.410017i \(-0.865523\pi\)
0.759617 0.650370i \(-0.225386\pi\)
\(68\) −3.38377 −0.410343
\(69\) 0.449897 + 1.41446i 0.0541612 + 0.170281i
\(70\) −2.58278 −0.308702
\(71\) −1.40316 9.75920i −0.166525 1.15820i −0.886000 0.463686i \(-0.846527\pi\)
0.719475 0.694518i \(-0.244382\pi\)
\(72\) −1.20645 + 2.64176i −0.142182 + 0.311335i
\(73\) 4.37444 1.28445i 0.511989 0.150334i −0.0155254 0.999879i \(-0.504942\pi\)
0.527515 + 0.849546i \(0.323124\pi\)
\(74\) −1.70330 + 1.96571i −0.198005 + 0.228510i
\(75\) −0.496151 0.145683i −0.0572905 0.0168220i
\(76\) 2.44307 1.57007i 0.280240 0.180099i
\(77\) 0.652002 + 1.42769i 0.0743025 + 0.162700i
\(78\) −1.41562 1.63371i −0.160287 0.184981i
\(79\) −0.936623 0.601931i −0.105378 0.0677225i 0.486890 0.873463i \(-0.338131\pi\)
−0.592269 + 0.805741i \(0.701768\pi\)
\(80\) −0.367568 + 2.55649i −0.0410954 + 0.285825i
\(81\) −1.15945 + 8.06416i −0.128828 + 0.896018i
\(82\) −3.61560 2.32360i −0.399276 0.256599i
\(83\) −5.51811 6.36824i −0.605692 0.699006i 0.367233 0.930129i \(-0.380305\pi\)
−0.972924 + 0.231124i \(0.925760\pi\)
\(84\) −0.128569 0.281527i −0.0140280 0.0307171i
\(85\) −7.35218 + 4.72496i −0.797455 + 0.512493i
\(86\) −1.00057 0.293794i −0.107894 0.0316806i
\(87\) −1.03310 + 1.19226i −0.110760 + 0.127824i
\(88\) 1.50594 0.442185i 0.160534 0.0471370i
\(89\) −5.26207 + 11.5223i −0.557779 + 1.22136i 0.395275 + 0.918563i \(0.370649\pi\)
−0.953054 + 0.302802i \(0.902078\pi\)
\(90\) 1.06750 + 7.42460i 0.112524 + 0.782622i
\(91\) −6.98462 −0.732187
\(92\) 2.50201 4.09145i 0.260852 0.426563i
\(93\) 1.55380 0.161121
\(94\) 0.619831 + 4.31102i 0.0639307 + 0.444648i
\(95\) 3.11587 6.82281i 0.319682 0.700006i
\(96\) −0.296959 + 0.0871950i −0.0303082 + 0.00889930i
\(97\) 7.73192 8.92312i 0.785058 0.906005i −0.212406 0.977182i \(-0.568130\pi\)
0.997464 + 0.0711763i \(0.0226753\pi\)
\(98\) −0.959493 0.281733i −0.0969234 0.0284593i
\(99\) 3.83462 2.46436i 0.385393 0.247677i
\(100\) 0.694063 + 1.51979i 0.0694063 + 0.151979i
\(101\) −5.77795 6.66811i −0.574928 0.663502i 0.391579 0.920145i \(-0.371929\pi\)
−0.966506 + 0.256643i \(0.917384\pi\)
\(102\) −0.881013 0.566193i −0.0872333 0.0560615i
\(103\) 0.128275 0.892176i 0.0126394 0.0879087i −0.982525 0.186129i \(-0.940406\pi\)
0.995165 + 0.0982201i \(0.0313149\pi\)
\(104\) −0.994014 + 6.91352i −0.0974711 + 0.677927i
\(105\) −0.672465 0.432167i −0.0656258 0.0421752i
\(106\) −2.57429 2.97089i −0.250037 0.288558i
\(107\) −6.85915 15.0194i −0.663099 1.45198i −0.879606 0.475703i \(-0.842194\pi\)
0.216507 0.976281i \(-0.430534\pi\)
\(108\) −1.53725 + 0.987928i −0.147922 + 0.0950634i
\(109\) 14.1236 + 4.14707i 1.35280 + 0.397217i 0.876218 0.481915i \(-0.160058\pi\)
0.476579 + 0.879132i \(0.341877\pi\)
\(110\) 2.65463 3.06360i 0.253109 0.292103i
\(111\) −0.772394 + 0.226795i −0.0733124 + 0.0215265i
\(112\) −0.415415 + 0.909632i −0.0392530 + 0.0859521i
\(113\) −1.40387 9.76415i −0.132065 0.918534i −0.942857 0.333199i \(-0.891872\pi\)
0.810791 0.585335i \(-0.199037\pi\)
\(114\) 0.898803 0.0841806
\(115\) −0.276831 12.3835i −0.0258146 1.15477i
\(116\) 5.09730 0.473272
\(117\) 2.88683 + 20.0783i 0.266887 + 1.85624i
\(118\) 2.94264 6.44347i 0.270892 0.593170i
\(119\) −3.24670 + 0.953318i −0.297625 + 0.0873906i
\(120\) −0.523470 + 0.604116i −0.0477860 + 0.0551480i
\(121\) 8.19082 + 2.40504i 0.744620 + 0.218640i
\(122\) 6.61390 4.25050i 0.598794 0.384822i
\(123\) −0.552573 1.20997i −0.0498239 0.109099i
\(124\) −3.28767 3.79417i −0.295241 0.340727i
\(125\) −7.23367 4.64880i −0.646999 0.415801i
\(126\) −0.413313 + 2.87465i −0.0368208 + 0.256094i
\(127\) −2.85688 + 19.8700i −0.253507 + 1.76318i 0.323299 + 0.946297i \(0.395208\pi\)
−0.576805 + 0.816882i \(0.695701\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −0.211353 0.243915i −0.0186086 0.0214755i
\(130\) 7.49398 + 16.4095i 0.657266 + 1.43921i
\(131\) 10.9920 7.06415i 0.960379 0.617198i 0.0362759 0.999342i \(-0.488451\pi\)
0.924103 + 0.382144i \(0.124814\pi\)
\(132\) 0.466083 + 0.136854i 0.0405673 + 0.0119116i
\(133\) 1.90177 2.19476i 0.164905 0.190310i
\(134\) −8.41369 + 2.47048i −0.726832 + 0.213417i
\(135\) −1.96059 + 4.29309i −0.168741 + 0.369491i
\(136\) 0.481561 + 3.34933i 0.0412935 + 0.287203i
\(137\) −14.3628 −1.22710 −0.613549 0.789657i \(-0.710259\pi\)
−0.613549 + 0.789657i \(0.710259\pi\)
\(138\) 1.33604 0.646617i 0.113731 0.0550437i
\(139\) 18.5193 1.57079 0.785394 0.618997i \(-0.212461\pi\)
0.785394 + 0.618997i \(0.212461\pi\)
\(140\) 0.367568 + 2.55649i 0.0310652 + 0.216063i
\(141\) −0.559964 + 1.22615i −0.0471575 + 0.103260i
\(142\) −9.46018 + 2.77776i −0.793880 + 0.233104i
\(143\) 7.17890 8.28490i 0.600330 0.692818i
\(144\) 2.78657 + 0.818211i 0.232214 + 0.0681843i
\(145\) 11.0753 7.11766i 0.919753 0.591089i
\(146\) −1.89393 4.14712i −0.156742 0.343218i
\(147\) −0.202677 0.233901i −0.0167165 0.0192918i
\(148\) 2.18811 + 1.40621i 0.179862 + 0.115590i
\(149\) −0.641165 + 4.45940i −0.0525263 + 0.365329i 0.946558 + 0.322535i \(0.104535\pi\)
−0.999084 + 0.0427938i \(0.986374\pi\)
\(150\) −0.0735905 + 0.511833i −0.00600864 + 0.0417910i
\(151\) 8.21713 + 5.28083i 0.668701 + 0.429748i 0.830457 0.557083i \(-0.188079\pi\)
−0.161756 + 0.986831i \(0.551716\pi\)
\(152\) −1.90177 2.19476i −0.154254 0.178019i
\(153\) 4.08236 + 8.93913i 0.330039 + 0.722686i
\(154\) 1.32036 0.848546i 0.106398 0.0683778i
\(155\) −12.4414 3.65312i −0.999317 0.293426i
\(156\) −1.41562 + 1.63371i −0.113340 + 0.130801i
\(157\) −2.41150 + 0.708081i −0.192459 + 0.0565110i −0.376541 0.926400i \(-0.622887\pi\)
0.184083 + 0.982911i \(0.441069\pi\)
\(158\) −0.462509 + 1.01275i −0.0367952 + 0.0805703i
\(159\) −0.173146 1.20426i −0.0137314 0.0955040i
\(160\) 2.58278 0.204187
\(161\) 1.24796 4.63061i 0.0983533 0.364944i
\(162\) 8.14709 0.640096
\(163\) −3.38115 23.5164i −0.264832 1.84195i −0.495121 0.868824i \(-0.664876\pi\)
0.230289 0.973122i \(-0.426033\pi\)
\(164\) −1.78540 + 3.90948i −0.139416 + 0.305279i
\(165\) 1.20379 0.353465i 0.0937150 0.0275172i
\(166\) −5.51811 + 6.36824i −0.428289 + 0.494272i
\(167\) 22.8990 + 6.72376i 1.77198 + 0.520300i 0.994134 0.108156i \(-0.0344947\pi\)
0.777845 + 0.628456i \(0.216313\pi\)
\(168\) −0.260364 + 0.167326i −0.0200875 + 0.0129095i
\(169\) 14.8656 + 32.5510i 1.14350 + 2.50393i
\(170\) 5.72319 + 6.60491i 0.438948 + 0.506573i
\(171\) −7.09521 4.55981i −0.542584 0.348698i
\(172\) −0.148407 + 1.03220i −0.0113160 + 0.0787042i
\(173\) 0.539942 3.75538i 0.0410510 0.285516i −0.958947 0.283585i \(-0.908476\pi\)
0.999998 0.00193120i \(-0.000614720\pi\)
\(174\) 1.32716 + 0.852911i 0.100611 + 0.0646590i
\(175\) 1.09412 + 1.26268i 0.0827079 + 0.0954500i
\(176\) −0.652002 1.42769i −0.0491465 0.107616i
\(177\) 1.84432 1.18527i 0.138627 0.0890904i
\(178\) 12.1539 + 3.56871i 0.910975 + 0.267486i
\(179\) 6.01036 6.93633i 0.449236 0.518446i −0.485284 0.874356i \(-0.661284\pi\)
0.934520 + 0.355911i \(0.115829\pi\)
\(180\) 7.19711 2.11326i 0.536441 0.157513i
\(181\) 9.43201 20.6532i 0.701075 1.53514i −0.137587 0.990490i \(-0.543935\pi\)
0.838662 0.544651i \(-0.183338\pi\)
\(182\) 0.994014 + 6.91352i 0.0736812 + 0.512464i
\(183\) 2.43324 0.179870
\(184\) −4.40588 1.89427i −0.324806 0.139647i
\(185\) 6.71785 0.493907
\(186\) −0.221128 1.53798i −0.0162139 0.112770i
\(187\) 2.20623 4.83096i 0.161335 0.353275i
\(188\) 4.17893 1.22704i 0.304780 0.0894914i
\(189\) −1.19665 + 1.38100i −0.0870432 + 0.100453i
\(190\) −7.19680 2.11317i −0.522111 0.153306i
\(191\) 13.4522 8.64524i 0.973371 0.625547i 0.0457032 0.998955i \(-0.485447\pi\)
0.927667 + 0.373408i \(0.121811\pi\)
\(192\) 0.128569 + 0.281527i 0.00927868 + 0.0203175i
\(193\) −15.9672 18.4272i −1.14935 1.32642i −0.937043 0.349214i \(-0.886449\pi\)
−0.212304 0.977204i \(-0.568097\pi\)
\(194\) −9.93266 6.38333i −0.713123 0.458297i
\(195\) −0.794576 + 5.52640i −0.0569008 + 0.395753i
\(196\) −0.142315 + 0.989821i −0.0101653 + 0.0707015i
\(197\) 0.200069 + 0.128576i 0.0142543 + 0.00916069i 0.547749 0.836643i \(-0.315485\pi\)
−0.533494 + 0.845804i \(0.679121\pi\)
\(198\) −2.98500 3.44487i −0.212135 0.244816i
\(199\) 6.24993 + 13.6854i 0.443046 + 0.970135i 0.991029 + 0.133646i \(0.0426685\pi\)
−0.547983 + 0.836489i \(0.684604\pi\)
\(200\) 1.40554 0.903287i 0.0993868 0.0638720i
\(201\) −2.60400 0.764604i −0.183672 0.0539310i
\(202\) −5.77795 + 6.66811i −0.406535 + 0.469167i
\(203\) 4.89082 1.43608i 0.343268 0.100793i
\(204\) −0.435049 + 0.952624i −0.0304595 + 0.0666970i
\(205\) 1.57976 + 10.9875i 0.110335 + 0.767399i
\(206\) −0.901350 −0.0628000
\(207\) −13.8272 1.67357i −0.961057 0.116321i
\(208\) 6.98462 0.484296
\(209\) 0.648674 + 4.51163i 0.0448697 + 0.312076i
\(210\) −0.332066 + 0.727124i −0.0229148 + 0.0501763i
\(211\) −10.6272 + 3.12044i −0.731608 + 0.214820i −0.626258 0.779616i \(-0.715415\pi\)
−0.105350 + 0.994435i \(0.533596\pi\)
\(212\) −2.57429 + 2.97089i −0.176803 + 0.204042i
\(213\) −2.92788 0.859704i −0.200615 0.0589060i
\(214\) −13.8904 + 8.92682i −0.949529 + 0.610225i
\(215\) 1.11886 + 2.44996i 0.0763056 + 0.167086i
\(216\) 1.19665 + 1.38100i 0.0814214 + 0.0939653i
\(217\) −4.22344 2.71424i −0.286706 0.184255i
\(218\) 2.09486 14.5700i 0.141882 0.986808i
\(219\) 0.200810 1.39666i 0.0135695 0.0943778i
\(220\) −3.41021 2.19161i −0.229917 0.147758i
\(221\) 15.4772 + 17.8616i 1.04111 + 1.20150i
\(222\) 0.334410 + 0.732256i 0.0224441 + 0.0491458i
\(223\) −9.67120 + 6.21530i −0.647631 + 0.416207i −0.822800 0.568331i \(-0.807589\pi\)
0.175169 + 0.984538i \(0.443953\pi\)
\(224\) 0.959493 + 0.281733i 0.0641088 + 0.0188240i
\(225\) 3.17756 3.66710i 0.211838 0.244474i
\(226\) −9.46497 + 2.77917i −0.629600 + 0.184867i
\(227\) −3.98082 + 8.71679i −0.264217 + 0.578553i −0.994517 0.104572i \(-0.966653\pi\)
0.730301 + 0.683126i \(0.239380\pi\)
\(228\) −0.127913 0.889654i −0.00847124 0.0589188i
\(229\) −19.1674 −1.26662 −0.633309 0.773899i \(-0.718304\pi\)
−0.633309 + 0.773899i \(0.718304\pi\)
\(230\) −12.2181 + 2.03637i −0.805635 + 0.134274i
\(231\) 0.485760 0.0319606
\(232\) −0.725421 5.04542i −0.0476262 0.331248i
\(233\) −6.57244 + 14.3916i −0.430575 + 0.942828i 0.562658 + 0.826690i \(0.309779\pi\)
−0.993233 + 0.116138i \(0.962949\pi\)
\(234\) 19.4631 5.71489i 1.27234 0.373594i
\(235\) 7.36648 8.50137i 0.480536 0.554568i
\(236\) −6.79667 1.99568i −0.442425 0.129908i
\(237\) −0.289881 + 0.186295i −0.0188298 + 0.0121012i
\(238\) 1.40567 + 3.07799i 0.0911160 + 0.199516i
\(239\) −0.344892 0.398027i −0.0223092 0.0257462i 0.744485 0.667639i \(-0.232695\pi\)
−0.766795 + 0.641893i \(0.778149\pi\)
\(240\) 0.672465 + 0.432167i 0.0434074 + 0.0278963i
\(241\) 2.99237 20.8124i 0.192755 1.34064i −0.631918 0.775035i \(-0.717732\pi\)
0.824674 0.565609i \(-0.191359\pi\)
\(242\) 1.21489 8.44972i 0.0780958 0.543168i
\(243\) 6.73295 + 4.32700i 0.431919 + 0.277577i
\(244\) −5.14849 5.94167i −0.329598 0.380377i
\(245\) 1.07293 + 2.34938i 0.0685468 + 0.150097i
\(246\) −1.11901 + 0.719145i −0.0713456 + 0.0458510i
\(247\) −19.4623 5.71464i −1.23836 0.363614i
\(248\) −3.28767 + 3.79417i −0.208767 + 0.240930i
\(249\) −2.50229 + 0.734740i −0.158576 + 0.0465622i
\(250\) −3.57202 + 7.82163i −0.225914 + 0.494683i
\(251\) 2.63668 + 18.3385i 0.166426 + 1.15752i 0.886198 + 0.463307i \(0.153337\pi\)
−0.719772 + 0.694211i \(0.755754\pi\)
\(252\) 2.90421 0.182948
\(253\) 4.20999 + 6.23971i 0.264680 + 0.392287i
\(254\) 20.0743 1.25958
\(255\) 0.384941 + 2.67732i 0.0241059 + 0.167660i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −6.14200 + 1.80345i −0.383127 + 0.112496i −0.467624 0.883927i \(-0.654890\pi\)
0.0844967 + 0.996424i \(0.473072\pi\)
\(258\) −0.211353 + 0.243915i −0.0131583 + 0.0151855i
\(259\) 2.49565 + 0.732790i 0.155072 + 0.0455334i
\(260\) 15.1760 9.75303i 0.941176 0.604857i
\(261\) −6.14965 13.4659i −0.380654 0.833516i
\(262\) −8.55658 9.87482i −0.528627 0.610068i
\(263\) −2.06434 1.32667i −0.127292 0.0818059i 0.475445 0.879745i \(-0.342287\pi\)
−0.602738 + 0.797940i \(0.705923\pi\)
\(264\) 0.0691308 0.480815i 0.00425471 0.0295921i
\(265\) −1.44493 + 10.0497i −0.0887614 + 0.617349i
\(266\) −2.44307 1.57007i −0.149794 0.0962671i
\(267\) 2.56731 + 2.96283i 0.157117 + 0.181322i
\(268\) 3.64273 + 7.97647i 0.222515 + 0.487240i
\(269\) −2.26590 + 1.45621i −0.138155 + 0.0887865i −0.607892 0.794019i \(-0.707985\pi\)
0.469738 + 0.882806i \(0.344348\pi\)
\(270\) 4.52842 + 1.32966i 0.275591 + 0.0809207i
\(271\) −1.55581 + 1.79551i −0.0945090 + 0.109069i −0.801034 0.598619i \(-0.795716\pi\)
0.706525 + 0.707688i \(0.250262\pi\)
\(272\) 3.24670 0.953318i 0.196860 0.0578034i
\(273\) −0.898006 + 1.96636i −0.0543498 + 0.119009i
\(274\) 2.04404 + 14.2166i 0.123485 + 0.858858i
\(275\) −2.62231 −0.158131
\(276\) −0.830174 1.23042i −0.0499706 0.0740624i
\(277\) 3.55469 0.213581 0.106790 0.994282i \(-0.465943\pi\)
0.106790 + 0.994282i \(0.465943\pi\)
\(278\) −2.63557 18.3308i −0.158071 1.09941i
\(279\) −6.05689 + 13.2627i −0.362617 + 0.794020i
\(280\) 2.47816 0.727654i 0.148099 0.0434857i
\(281\) 8.92450 10.2994i 0.532391 0.614412i −0.424299 0.905522i \(-0.639479\pi\)
0.956689 + 0.291111i \(0.0940248\pi\)
\(282\) 1.29336 + 0.379765i 0.0770185 + 0.0226147i
\(283\) −8.96500 + 5.76146i −0.532914 + 0.342483i −0.779262 0.626698i \(-0.784406\pi\)
0.246348 + 0.969181i \(0.420769\pi\)
\(284\) 4.09581 + 8.96857i 0.243041 + 0.532187i
\(285\) −1.52020 1.75441i −0.0900490 0.103922i
\(286\) −9.22223 5.92677i −0.545322 0.350457i
\(287\) −0.611650 + 4.25412i −0.0361046 + 0.251113i
\(288\) 0.413313 2.87465i 0.0243547 0.169390i
\(289\) −4.66904 3.00061i −0.274649 0.176506i
\(290\) −8.62139 9.94961i −0.506265 0.584261i
\(291\) −1.51801 3.32398i −0.0889875 0.194855i
\(292\) −3.83537 + 2.46484i −0.224448 + 0.144244i
\(293\) −20.9102 6.13978i −1.22159 0.358690i −0.393518 0.919317i \(-0.628742\pi\)
−0.828068 + 0.560627i \(0.810560\pi\)
\(294\) −0.202677 + 0.233901i −0.0118203 + 0.0136414i
\(295\) −17.5543 + 5.15442i −1.02205 + 0.300102i
\(296\) 1.08050 2.36597i 0.0628028 0.137519i
\(297\) −0.408163 2.83883i −0.0236840 0.164726i
\(298\) 4.50526 0.260983
\(299\) −33.0413 + 5.50695i −1.91083 + 0.318475i
\(300\) 0.517097 0.0298546
\(301\) 0.148407 + 1.03220i 0.00855406 + 0.0594948i
\(302\) 4.05766 8.88503i 0.233492 0.511276i
\(303\) −2.62012 + 0.769337i −0.150522 + 0.0441973i
\(304\) −1.90177 + 2.19476i −0.109074 + 0.125878i
\(305\) −19.4832 5.72079i −1.11561 0.327571i
\(306\) 8.26716 5.31298i 0.472602 0.303723i
\(307\) −6.08642 13.3274i −0.347371 0.760636i −0.999996 0.00295449i \(-0.999060\pi\)
0.652625 0.757681i \(-0.273668\pi\)
\(308\) −1.02782 1.18616i −0.0585653 0.0675879i
\(309\) −0.234679 0.150819i −0.0133504 0.00857981i
\(310\) −1.84534 + 12.8347i −0.104809 + 0.728959i
\(311\) 1.65901 11.5386i 0.0940735 0.654296i −0.887158 0.461465i \(-0.847324\pi\)
0.981232 0.192831i \(-0.0617669\pi\)
\(312\) 1.81854 + 1.16871i 0.102955 + 0.0661650i
\(313\) 9.39697 + 10.8447i 0.531148 + 0.612978i 0.956387 0.292104i \(-0.0943553\pi\)
−0.425239 + 0.905081i \(0.639810\pi\)
\(314\) 1.04407 + 2.28619i 0.0589200 + 0.129017i
\(315\) 6.31020 4.05532i 0.355540 0.228491i
\(316\) 1.06827 + 0.313671i 0.0600947 + 0.0176454i
\(317\) 19.1571 22.1085i 1.07597 1.24174i 0.107078 0.994251i \(-0.465850\pi\)
0.968892 0.247485i \(-0.0796041\pi\)
\(318\) −1.16736 + 0.342768i −0.0654624 + 0.0192215i
\(319\) −3.32345 + 7.27734i −0.186077 + 0.407453i
\(320\) −0.367568 2.55649i −0.0205477 0.142912i
\(321\) −5.11026 −0.285227
\(322\) −4.76108 0.576255i −0.265325 0.0321135i
\(323\) −9.82677 −0.546776
\(324\) −1.15945 8.06416i −0.0644140 0.448009i
\(325\) 4.84777 10.6151i 0.268906 0.588821i
\(326\) −22.7958 + 6.69346i −1.26255 + 0.370717i
\(327\) 2.98337 3.44300i 0.164981 0.190398i
\(328\) 4.12377 + 1.21085i 0.227697 + 0.0668580i
\(329\) 3.66395 2.35468i 0.202000 0.129818i
\(330\) −0.521185 1.14123i −0.0286903 0.0628229i
\(331\) −6.93947 8.00857i −0.381428 0.440191i 0.532277 0.846570i \(-0.321337\pi\)
−0.913704 + 0.406379i \(0.866791\pi\)
\(332\) 7.08873 + 4.55565i 0.389045 + 0.250024i
\(333\) 1.07503 7.47701i 0.0589114 0.409737i
\(334\) 3.39645 23.6228i 0.185845 1.29258i
\(335\) 19.0528 + 12.2445i 1.04097 + 0.668990i
\(336\) 0.202677 + 0.233901i 0.0110569 + 0.0127604i
\(337\) 10.6715 + 23.3673i 0.581313 + 1.27290i 0.940551 + 0.339651i \(0.110309\pi\)
−0.359239 + 0.933246i \(0.616964\pi\)
\(338\) 30.1041 19.3468i 1.63745 1.05232i
\(339\) −2.92937 0.860140i −0.159101 0.0467164i
\(340\) 5.72319 6.60491i 0.310383 0.358202i
\(341\) 7.56045 2.21995i 0.409421 0.120217i
\(342\) −3.50365 + 7.67192i −0.189455 + 0.414850i
\(343\) 0.142315 + 0.989821i 0.00768428 + 0.0534453i
\(344\) 1.04281 0.0562245
\(345\) −3.52188 1.51420i −0.189612 0.0815218i
\(346\) −3.79400 −0.203967
\(347\) −0.689508 4.79563i −0.0370147 0.257443i 0.962909 0.269828i \(-0.0869668\pi\)
−0.999923 + 0.0123847i \(0.996058\pi\)
\(348\) 0.655355 1.43503i 0.0351307 0.0769256i
\(349\) −13.8392 + 4.06356i −0.740797 + 0.217518i −0.630292 0.776358i \(-0.717065\pi\)
−0.110505 + 0.993876i \(0.535247\pi\)
\(350\) 1.09412 1.26268i 0.0584833 0.0674933i
\(351\) 12.2462 + 3.59580i 0.653653 + 0.191930i
\(352\) −1.32036 + 0.848546i −0.0703756 + 0.0452277i
\(353\) 3.53908 + 7.74950i 0.188366 + 0.412464i 0.980128 0.198366i \(-0.0635633\pi\)
−0.791762 + 0.610830i \(0.790836\pi\)
\(354\) −1.43568 1.65686i −0.0763056 0.0880613i
\(355\) 21.4226 + 13.7675i 1.13699 + 0.730702i
\(356\) 1.80271 12.5381i 0.0955432 0.664518i
\(357\) −0.149041 + 1.03660i −0.00788809 + 0.0548628i
\(358\) −7.72109 4.96204i −0.408072 0.262252i
\(359\) 8.63063 + 9.96027i 0.455507 + 0.525683i 0.936324 0.351138i \(-0.114205\pi\)
−0.480817 + 0.876821i \(0.659660\pi\)
\(360\) −3.11601 6.82311i −0.164228 0.359609i
\(361\) −8.88892 + 5.71256i −0.467838 + 0.300661i
\(362\) −21.7853 6.39674i −1.14501 0.336205i
\(363\) 1.73017 1.99672i 0.0908104 0.104801i
\(364\) 6.70169 1.96779i 0.351264 0.103140i
\(365\) −4.89160 + 10.7111i −0.256038 + 0.560645i
\(366\) −0.346286 2.40848i −0.0181007 0.125893i
\(367\) −15.4410 −0.806016 −0.403008 0.915197i \(-0.632035\pi\)
−0.403008 + 0.915197i \(0.632035\pi\)
\(368\) −1.24796 + 4.63061i −0.0650546 + 0.241387i
\(369\) 12.4819 0.649783
\(370\) −0.956050 6.64948i −0.0497027 0.345690i
\(371\) −1.63302 + 3.57581i −0.0847821 + 0.185647i
\(372\) −1.49086 + 0.437755i −0.0772973 + 0.0226965i
\(373\) 14.1946 16.3815i 0.734971 0.848202i −0.258051 0.966131i \(-0.583080\pi\)
0.993022 + 0.117930i \(0.0376257\pi\)
\(374\) −5.09577 1.49625i −0.263496 0.0773693i
\(375\) −2.23879 + 1.43878i −0.115611 + 0.0742984i
\(376\) −1.80928 3.96177i −0.0933064 0.204313i
\(377\) −23.3148 26.9067i −1.20077 1.38577i
\(378\) 1.53725 + 0.987928i 0.0790674 + 0.0508135i
\(379\) 3.82013 26.5696i 0.196227 1.36479i −0.618883 0.785483i \(-0.712415\pi\)
0.815110 0.579306i \(-0.196676\pi\)
\(380\) −1.06745 + 7.42428i −0.0547591 + 0.380858i
\(381\) 5.22664 + 3.35896i 0.267769 + 0.172085i
\(382\) −10.4717 12.0850i −0.535778 0.618321i
\(383\) −0.621466 1.36082i −0.0317554 0.0695347i 0.893090 0.449879i \(-0.148533\pi\)
−0.924845 + 0.380344i \(0.875806\pi\)
\(384\) 0.260364 0.167326i 0.0132867 0.00853882i
\(385\) −3.88952 1.14207i −0.198229 0.0582051i
\(386\) −15.9672 + 18.4272i −0.812711 + 0.937919i
\(387\) 2.90586 0.853239i 0.147713 0.0433726i
\(388\) −4.90479 + 10.7400i −0.249003 + 0.545241i
\(389\) 3.85446 + 26.8083i 0.195429 + 1.35924i 0.817343 + 0.576151i \(0.195446\pi\)
−0.621914 + 0.783085i \(0.713645\pi\)
\(390\) 5.58323 0.282718
\(391\) −14.6072 + 7.06958i −0.738715 + 0.357524i
\(392\) 1.00000 0.0505076
\(393\) −0.575514 4.00279i −0.0290309 0.201914i
\(394\) 0.0987950 0.216331i 0.00497722 0.0108986i
\(395\) 2.75910 0.810145i 0.138825 0.0407628i
\(396\) −2.98500 + 3.44487i −0.150002 + 0.173111i
\(397\) 16.2059 + 4.75848i 0.813351 + 0.238821i 0.661850 0.749636i \(-0.269771\pi\)
0.151500 + 0.988457i \(0.451590\pi\)
\(398\) 12.6567 8.13396i 0.634422 0.407718i
\(399\) −0.373376 0.817580i −0.0186922 0.0409302i
\(400\) −1.09412 1.26268i −0.0547061 0.0631342i
\(401\) 26.0809 + 16.7612i 1.30242 + 0.837012i 0.993473 0.114068i \(-0.0363883\pi\)
0.308943 + 0.951080i \(0.400025\pi\)
\(402\) −0.386233 + 2.68631i −0.0192636 + 0.133981i
\(403\) −4.99036 + 34.7087i −0.248588 + 1.72896i
\(404\) 7.42253 + 4.77017i 0.369285 + 0.237325i
\(405\) −13.7797 15.9026i −0.684718 0.790207i
\(406\) −2.11749 4.63667i −0.105089 0.230114i
\(407\) −3.43428 + 2.20708i −0.170231 + 0.109401i
\(408\) 1.00484 + 0.295048i 0.0497470 + 0.0146071i
\(409\) 0.784563 0.905434i 0.0387942 0.0447708i −0.736021 0.676959i \(-0.763298\pi\)
0.774815 + 0.632188i \(0.217843\pi\)
\(410\) 10.6508 3.12736i 0.526006 0.154449i
\(411\) −1.84662 + 4.04352i −0.0910868 + 0.199452i
\(412\) 0.128275 + 0.892176i 0.00631968 + 0.0439543i
\(413\) −7.08360 −0.348561
\(414\) 0.311282 + 13.9246i 0.0152987 + 0.684358i
\(415\) 21.7636 1.06833
\(416\) −0.994014 6.91352i −0.0487356 0.338963i
\(417\) 2.38101 5.21369i 0.116599 0.255315i
\(418\) 4.37339 1.28414i 0.213909 0.0628095i
\(419\) −25.2152 + 29.0999i −1.23184 + 1.42162i −0.359201 + 0.933260i \(0.616951\pi\)
−0.872641 + 0.488361i \(0.837595\pi\)
\(420\) 0.766981 + 0.225206i 0.0374248 + 0.0109889i
\(421\) −0.333928 + 0.214603i −0.0162747 + 0.0104591i −0.548753 0.835985i \(-0.684897\pi\)
0.532478 + 0.846444i \(0.321261\pi\)
\(422\) 4.60109 + 10.0750i 0.223977 + 0.490442i
\(423\) −8.28324 9.55937i −0.402745 0.464793i
\(424\) 3.30701 + 2.12529i 0.160603 + 0.103213i
\(425\) 0.804578 5.59596i 0.0390278 0.271444i
\(426\) −0.434272 + 3.02043i −0.0210406 + 0.146340i
\(427\) −6.61390 4.25050i −0.320069 0.205696i
\(428\) 10.8128 + 12.4786i 0.522655 + 0.603176i
\(429\) −1.40944 3.08624i −0.0680483 0.149005i
\(430\) 2.26579 1.45614i 0.109266 0.0702211i
\(431\) 23.4761 + 6.89321i 1.13080 + 0.332034i 0.793024 0.609191i \(-0.208506\pi\)
0.337780 + 0.941225i \(0.390324\pi\)
\(432\) 1.19665 1.38100i 0.0575736 0.0664435i
\(433\) 15.3248 4.49975i 0.736461 0.216244i 0.108071 0.994143i \(-0.465533\pi\)
0.628390 + 0.777899i \(0.283714\pi\)
\(434\) −2.08555 + 4.56673i −0.100110 + 0.219210i
\(435\) −0.579873 4.03311i −0.0278028 0.193373i
\(436\) −14.7199 −0.704954
\(437\) 7.26605 11.8819i 0.347582 0.568390i
\(438\) −1.41103 −0.0674215
\(439\) 4.39979 + 30.6012i 0.209990 + 1.46052i 0.773179 + 0.634187i \(0.218665\pi\)
−0.563189 + 0.826328i \(0.690426\pi\)
\(440\) −1.68398 + 3.68740i −0.0802806 + 0.175790i
\(441\) 2.78657 0.818211i 0.132694 0.0389624i
\(442\) 15.4772 17.8616i 0.736175 0.849592i
\(443\) 23.2947 + 6.83993i 1.10676 + 0.324975i 0.783536 0.621347i \(-0.213414\pi\)
0.323227 + 0.946322i \(0.395232\pi\)
\(444\) 0.677211 0.435217i 0.0321390 0.0206545i
\(445\) −13.5908 29.7597i −0.644266 1.41074i
\(446\) 7.52839 + 8.68823i 0.356480 + 0.411400i
\(447\) 1.17301 + 0.753847i 0.0554814 + 0.0356558i
\(448\) 0.142315 0.989821i 0.00672374 0.0467647i
\(449\) 3.01728 20.9857i 0.142394 0.990375i −0.785853 0.618413i \(-0.787776\pi\)
0.928248 0.371962i \(-0.121315\pi\)
\(450\) −4.08199 2.62334i −0.192427 0.123665i
\(451\) −4.41742 5.09797i −0.208008 0.240054i
\(452\) 4.09788 + 8.97311i 0.192748 + 0.422060i
\(453\) 2.54317 1.63439i 0.119488 0.0767905i
\(454\) 9.19459 + 2.69978i 0.431524 + 0.126707i
\(455\) 11.8135 13.6335i 0.553827 0.639150i
\(456\) −0.862395 + 0.253222i −0.0403853 + 0.0118582i
\(457\) −14.0054 + 30.6676i −0.655147 + 1.43457i 0.231829 + 0.972756i \(0.425529\pi\)
−0.886976 + 0.461815i \(0.847198\pi\)
\(458\) 2.72781 + 18.9723i 0.127462 + 0.886518i
\(459\) 6.18326 0.288610
\(460\) 3.75445 + 11.8039i 0.175052 + 0.550359i
\(461\) −35.3529 −1.64655 −0.823274 0.567644i \(-0.807855\pi\)
−0.823274 + 0.567644i \(0.807855\pi\)
\(462\) −0.0691308 0.480815i −0.00321626 0.0223695i
\(463\) 15.5193 33.9825i 0.721243 1.57930i −0.0909110 0.995859i \(-0.528978\pi\)
0.812154 0.583443i \(-0.198295\pi\)
\(464\) −4.89082 + 1.43608i −0.227051 + 0.0666681i
\(465\) −2.62803 + 3.03291i −0.121872 + 0.140648i
\(466\) 15.1805 + 4.45740i 0.703223 + 0.206485i
\(467\) 30.1948 19.4050i 1.39725 0.897958i 0.397443 0.917627i \(-0.369898\pi\)
0.999807 + 0.0196690i \(0.00626123\pi\)
\(468\) −8.42661 18.4517i −0.389520 0.852931i
\(469\) 5.74241 + 6.62709i 0.265160 + 0.306011i
\(470\) −9.46320 6.08163i −0.436505 0.280525i
\(471\) −0.110701 + 0.769941i −0.00510082 + 0.0354770i
\(472\) −1.00810 + 7.01150i −0.0464017 + 0.322731i
\(473\) −1.37689 0.884873i −0.0633094 0.0406865i
\(474\) 0.225653 + 0.260418i 0.0103646 + 0.0119614i
\(475\) 2.01562 + 4.41359i 0.0924830 + 0.202510i
\(476\) 2.84661 1.82940i 0.130474 0.0838506i
\(477\) 10.9542 + 3.21643i 0.501556 + 0.147270i
\(478\) −0.344892 + 0.398027i −0.0157750 + 0.0182053i
\(479\) −35.0034 + 10.2779i −1.59935 + 0.469610i −0.955364 0.295431i \(-0.904537\pi\)
−0.643982 + 0.765041i \(0.722719\pi\)
\(480\) 0.332066 0.727124i 0.0151567 0.0331885i
\(481\) −2.58544 17.9822i −0.117886 0.819916i
\(482\) −21.0264 −0.957727
\(483\) −1.14319 0.946690i −0.0520171 0.0430759i
\(484\) −8.53661 −0.388028
\(485\) 4.33987 + 30.1845i 0.197063 + 1.37061i
\(486\) 3.32476 7.28022i 0.150814 0.330237i
\(487\) 9.62044 2.82482i 0.435944 0.128005i −0.0563945 0.998409i \(-0.517960\pi\)
0.492338 + 0.870404i \(0.336142\pi\)
\(488\) −5.14849 + 5.94167i −0.233061 + 0.268967i
\(489\) −7.05522 2.07160i −0.319048 0.0936809i
\(490\) 2.17278 1.39636i 0.0981560 0.0630810i
\(491\) 14.6405 + 32.0583i 0.660718 + 1.44677i 0.881852 + 0.471526i \(0.156297\pi\)
−0.221134 + 0.975243i \(0.570976\pi\)
\(492\) 0.871077 + 1.00528i 0.0392712 + 0.0453214i
\(493\) −14.5100 9.32502i −0.653498 0.419978i
\(494\) −2.88670 + 20.0775i −0.129879 + 0.903328i
\(495\) −1.67546 + 11.6531i −0.0753062 + 0.523766i
\(496\) 4.22344 + 2.71424i 0.189638 + 0.121873i
\(497\) 6.45664 + 7.45136i 0.289620 + 0.334239i
\(498\) 1.08337 + 2.37226i 0.0485472 + 0.106303i
\(499\) −11.7878 + 7.57553i −0.527692 + 0.339127i −0.777208 0.629243i \(-0.783365\pi\)
0.249516 + 0.968371i \(0.419728\pi\)
\(500\) 8.25037 + 2.42253i 0.368968 + 0.108339i
\(501\) 4.83703 5.58223i 0.216102 0.249396i
\(502\) 17.7766 5.21969i 0.793410 0.232966i
\(503\) 3.60415 7.89198i 0.160701 0.351886i −0.812104 0.583513i \(-0.801678\pi\)
0.972805 + 0.231627i \(0.0744049\pi\)
\(504\) −0.413313 2.87465i −0.0184104 0.128047i
\(505\) 22.7884 1.01407
\(506\) 5.57706 5.05514i 0.247930 0.224728i
\(507\) 11.0753 0.491869
\(508\) −2.85688 19.8700i −0.126753 0.881589i
\(509\) −4.04141 + 8.84946i −0.179132 + 0.392245i −0.977804 0.209522i \(-0.932809\pi\)
0.798671 + 0.601767i \(0.205537\pi\)
\(510\) 2.59529 0.762045i 0.114921 0.0337439i
\(511\) −2.98559 + 3.44555i −0.132075 + 0.152422i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −4.46430 + 2.86903i −0.197104 + 0.126671i
\(514\) 2.65920 + 5.82283i 0.117292 + 0.256834i
\(515\) 1.52451 + 1.75938i 0.0671780 + 0.0775275i
\(516\) 0.271511 + 0.174489i 0.0119526 + 0.00768146i
\(517\) −0.972837 + 6.76623i −0.0427853 + 0.297578i
\(518\) 0.370163 2.57454i 0.0162640 0.113119i
\(519\) −0.987821 0.634834i −0.0433606 0.0278661i
\(520\) −11.8135 13.6335i −0.518057 0.597870i
\(521\) 12.6819 + 27.7695i 0.555604 + 1.21660i 0.954115 + 0.299439i \(0.0967995\pi\)
−0.398512 + 0.917163i \(0.630473\pi\)
\(522\) −12.4536 + 8.00345i −0.545080 + 0.350302i
\(523\) −37.7455 11.0831i −1.65049 0.484629i −0.681522 0.731797i \(-0.738682\pi\)
−0.968973 + 0.247168i \(0.920500\pi\)
\(524\) −8.55658 + 9.87482i −0.373796 + 0.431383i
\(525\) 0.496151 0.145683i 0.0216538 0.00635812i
\(526\) −1.01938 + 2.23213i −0.0444471 + 0.0973255i
\(527\) 2.41763 + 16.8150i 0.105314 + 0.732473i
\(528\) −0.485760 −0.0211400
\(529\) 2.25263 22.8894i 0.0979403 0.995192i
\(530\) 10.1531 0.441021
\(531\) 2.92774 + 20.3629i 0.127053 + 0.883674i
\(532\) −1.20640 + 2.64165i −0.0523041 + 0.114530i
\(533\) 28.8030 8.45732i 1.24760 0.366327i
\(534\) 2.56731 2.96283i 0.111098 0.128214i
\(535\) 40.9183 + 12.0147i 1.76905 + 0.519441i
\(536\) 7.37686 4.74082i 0.318632 0.204772i
\(537\) −1.18002 2.58388i −0.0509215 0.111503i
\(538\) 1.76386 + 2.03560i 0.0760453 + 0.0877609i
\(539\) −1.32036 0.848546i −0.0568721 0.0365495i
\(540\) 0.671668 4.67156i 0.0289040 0.201032i
\(541\) 1.05341 7.32665i 0.0452898 0.314997i −0.954566 0.298000i \(-0.903680\pi\)
0.999856 0.0169970i \(-0.00541059\pi\)
\(542\) 1.99865 + 1.28445i 0.0858492 + 0.0551719i
\(543\) −4.60178 5.31073i −0.197481 0.227905i
\(544\) −1.40567 3.07799i −0.0602676 0.131968i
\(545\) −31.9830 + 20.5542i −1.37000 + 0.880446i
\(546\) 2.07414 + 0.609024i 0.0887652 + 0.0260638i
\(547\) 23.7332 27.3896i 1.01476 1.17109i 0.0295793 0.999562i \(-0.490583\pi\)
0.985179 0.171531i \(-0.0548713\pi\)
\(548\) 13.7810 4.04647i 0.588696 0.172857i
\(549\) −9.48509 + 20.7694i −0.404814 + 0.886418i
\(550\) 0.373193 + 2.59562i 0.0159130 + 0.110677i
\(551\) 14.8030 0.630629
\(552\) −1.09975 + 0.996830i −0.0468084 + 0.0424279i
\(553\) 1.11337 0.0473451
\(554\) −0.505885 3.51851i −0.0214930 0.149487i
\(555\) 0.863709 1.89126i 0.0366624 0.0802795i
\(556\) −17.7691 + 5.21749i −0.753580 + 0.221271i
\(557\) −0.622198 + 0.718055i −0.0263634 + 0.0304250i −0.768778 0.639516i \(-0.779135\pi\)
0.742415 + 0.669941i \(0.233680\pi\)
\(558\) 13.9897 + 4.10776i 0.592233 + 0.173895i
\(559\) 6.12738 3.93783i 0.259160 0.166552i
\(560\) −1.07293 2.34938i −0.0453394 0.0992795i
\(561\) −1.07639 1.24222i −0.0454454 0.0524468i
\(562\) −11.4647 7.36790i −0.483608 0.310796i
\(563\) −2.99628 + 20.8396i −0.126278 + 0.878283i 0.823936 + 0.566683i \(0.191774\pi\)
−0.950214 + 0.311599i \(0.899135\pi\)
\(564\) 0.191835 1.33424i 0.00807771 0.0561817i
\(565\) 21.4335 + 13.7745i 0.901713 + 0.579495i
\(566\) 6.97867 + 8.05381i 0.293335 + 0.338527i
\(567\) −3.38442 7.41085i −0.142132 0.311226i
\(568\) 8.29439 5.33048i 0.348025 0.223662i
\(569\) 16.7171 + 4.90859i 0.700818 + 0.205779i 0.612682 0.790330i \(-0.290091\pi\)
0.0881364 + 0.996108i \(0.471909\pi\)
\(570\) −1.52020 + 1.75441i −0.0636743 + 0.0734840i
\(571\) −38.4230 + 11.2820i −1.60795 + 0.472137i −0.957744 0.287621i \(-0.907136\pi\)
−0.650206 + 0.759758i \(0.725318\pi\)
\(572\) −4.55398 + 9.97183i −0.190412 + 0.416943i
\(573\) −0.704324 4.89868i −0.0294236 0.204645i
\(574\) 4.29787 0.179390
\(575\) 6.17138 + 5.11058i 0.257364 + 0.213126i
\(576\) −2.90421 −0.121009
\(577\) −5.11814 35.5975i −0.213071 1.48194i −0.762820 0.646611i \(-0.776186\pi\)
0.549749 0.835330i \(-0.314724\pi\)
\(578\) −2.30559 + 5.04854i −0.0959000 + 0.209992i
\(579\) −7.24065 + 2.12605i −0.300911 + 0.0883555i
\(580\) −8.62139 + 9.94961i −0.357984 + 0.413135i
\(581\) 8.08507 + 2.37399i 0.335425 + 0.0984897i
\(582\) −3.07412 + 1.97561i −0.127426 + 0.0818918i
\(583\) −2.56305 5.61230i −0.106151 0.232438i
\(584\) 2.98559 + 3.44555i 0.123544 + 0.142578i
\(585\) −44.0743 28.3249i −1.82225 1.17109i
\(586\) −3.10146 + 21.5711i −0.128120 + 0.891095i
\(587\) 3.15015 21.9098i 0.130021 0.904314i −0.815501 0.578756i \(-0.803539\pi\)
0.945522 0.325559i \(-0.105552\pi\)
\(588\) 0.260364 + 0.167326i 0.0107372 + 0.00690041i
\(589\) −9.54768 11.0186i −0.393405 0.454014i
\(590\) 7.60019 + 16.6421i 0.312895 + 0.685144i
\(591\) 0.0619205 0.0397939i 0.00254707 0.00163690i
\(592\) −2.49565 0.732790i −0.102571 0.0301175i
\(593\) 18.2335 21.0425i 0.748759 0.864114i −0.245688 0.969349i \(-0.579014\pi\)
0.994447 + 0.105235i \(0.0335595\pi\)
\(594\) −2.75185 + 0.808017i −0.112910 + 0.0331533i
\(595\) 3.63054 7.94977i 0.148838 0.325909i
\(596\) −0.641165 4.45940i −0.0262632 0.182664i
\(597\) 4.65637 0.190573
\(598\) 10.1532 + 31.9212i 0.415193 + 1.30536i
\(599\) 11.1956 0.457441 0.228721 0.973492i \(-0.426546\pi\)
0.228721 + 0.973492i \(0.426546\pi\)
\(600\) −0.0735905 0.511833i −0.00300432 0.0208955i
\(601\) 11.3098 24.7649i 0.461335 1.01018i −0.525846 0.850580i \(-0.676251\pi\)
0.987181 0.159603i \(-0.0510214\pi\)
\(602\) 1.00057 0.293794i 0.0407801 0.0119741i
\(603\) 16.6772 19.2465i 0.679147 0.783777i
\(604\) −9.37206 2.75189i −0.381344 0.111973i
\(605\) −18.5481 + 11.9202i −0.754089 + 0.484624i
\(606\) 1.13439 + 2.48396i 0.0460814 + 0.100904i
\(607\) 8.76092 + 10.1106i 0.355595 + 0.410378i 0.905159 0.425073i \(-0.139752\pi\)
−0.549564 + 0.835452i \(0.685206\pi\)
\(608\) 2.44307 + 1.57007i 0.0990797 + 0.0636747i
\(609\) 0.224515 1.56153i 0.00909780 0.0632766i
\(610\) −2.88981 + 20.0991i −0.117005 + 0.813787i
\(611\) −25.5913 16.4465i −1.03531 0.665356i
\(612\) −6.43544 7.42689i −0.260137 0.300214i
\(613\) −15.1240 33.1168i −0.610851 1.33758i −0.921990 0.387213i \(-0.873438\pi\)
0.311139 0.950364i \(-0.399289\pi\)
\(614\) −12.3256 + 7.92116i −0.497419 + 0.319672i
\(615\) 3.29638 + 0.967905i 0.132923 + 0.0390297i
\(616\) −1.02782 + 1.18616i −0.0414119 + 0.0477919i
\(617\) −18.4644 + 5.42165i −0.743350 + 0.218267i −0.631412 0.775448i \(-0.717524\pi\)
−0.111939 + 0.993715i \(0.535706\pi\)
\(618\) −0.115886 + 0.253755i −0.00466161 + 0.0102075i
\(619\) −0.492404 3.42474i −0.0197914 0.137652i 0.977530 0.210796i \(-0.0676057\pi\)
−0.997321 + 0.0731444i \(0.976697\pi\)
\(620\) 12.9666 0.520753
\(621\) −4.57199 + 7.47642i −0.183468 + 0.300019i
\(622\) −11.6573 −0.467415
\(623\) −1.80271 12.5381i −0.0722239 0.502328i
\(624\) 0.898006 1.96636i 0.0359490 0.0787174i
\(625\) 29.3244 8.61042i 1.17298 0.344417i
\(626\) 9.39697 10.8447i 0.375578 0.433441i
\(627\) 1.35355 + 0.397437i 0.0540554 + 0.0158721i
\(628\) 2.11433 1.35880i 0.0843709 0.0542219i
\(629\) −3.65616 8.00588i −0.145781 0.319215i
\(630\) −4.91208 5.66884i −0.195702 0.225852i
\(631\) 12.0652 + 7.75380i 0.480306 + 0.308674i 0.758296 0.651910i \(-0.226032\pi\)
−0.277990 + 0.960584i \(0.589668\pi\)
\(632\) 0.158448 1.10203i 0.00630274 0.0438365i
\(633\) −0.487846 + 3.39305i −0.0193901 + 0.134861i
\(634\) −24.6098 15.8157i −0.977379 0.628124i
\(635\) −33.9530 39.1839i −1.34738 1.55496i
\(636\) 0.505412 + 1.10670i 0.0200409 + 0.0438834i
\(637\) 5.87583 3.77617i 0.232809 0.149617i
\(638\) 7.67624 + 2.25395i 0.303905 + 0.0892346i
\(639\) 18.7514 21.6403i 0.741796 0.856078i
\(640\) −2.47816 + 0.727654i −0.0979580 + 0.0287631i
\(641\) 9.06852 19.8573i 0.358185 0.784316i −0.641665 0.766985i \(-0.721756\pi\)
0.999850 0.0173307i \(-0.00551681\pi\)
\(642\) 0.727266 + 5.05824i 0.0287029 + 0.199633i
\(643\) −5.42084 −0.213777 −0.106889 0.994271i \(-0.534089\pi\)
−0.106889 + 0.994271i \(0.534089\pi\)
\(644\) 0.107183 + 4.79463i 0.00422361 + 0.188935i
\(645\) 0.833581 0.0328222
\(646\) 1.39849 + 9.72674i 0.0550230 + 0.382694i
\(647\) −16.0960 + 35.2454i −0.632800 + 1.38564i 0.273034 + 0.962005i \(0.411973\pi\)
−0.905833 + 0.423634i \(0.860754\pi\)
\(648\) −7.81707 + 2.29530i −0.307084 + 0.0901679i
\(649\) 7.28065 8.40231i 0.285790 0.329820i
\(650\) −11.1970 3.28773i −0.439182 0.128955i
\(651\) −1.30714 + 0.840045i −0.0512307 + 0.0329240i
\(652\) 9.86952 + 21.6112i 0.386520 + 0.846361i
\(653\) −31.0901 35.8799i −1.21665 1.40409i −0.888130 0.459592i \(-0.847996\pi\)
−0.328520 0.944497i \(-0.606550\pi\)
\(654\) −3.83253 2.46302i −0.149864 0.0963116i
\(655\) −4.80274 + 33.4038i −0.187659 + 1.30520i
\(656\) 0.611650 4.25412i 0.0238809 0.166096i
\(657\) 11.1387 + 7.15843i 0.434564 + 0.279277i
\(658\) −2.85215 3.29155i −0.111188 0.128318i
\(659\) −14.5427 31.8440i −0.566503 1.24047i −0.948639 0.316362i \(-0.897539\pi\)
0.382136 0.924106i \(-0.375189\pi\)
\(660\) −1.05545 + 0.678294i −0.0410832 + 0.0264026i
\(661\) −11.7750 3.45745i −0.457994 0.134479i 0.0445940 0.999005i \(-0.485801\pi\)
−0.502588 + 0.864526i \(0.667619\pi\)
\(662\) −6.93947 + 8.00857i −0.269710 + 0.311262i
\(663\) 7.01843 2.06080i 0.272573 0.0800347i
\(664\) 3.50045 7.66492i 0.135844 0.297456i
\(665\) 1.06745 + 7.42428i 0.0413940 + 0.287901i
\(666\) −7.55390 −0.292708
\(667\) 22.0042 10.6496i 0.852004 0.412354i
\(668\) −23.8657 −0.923393
\(669\) 0.506359 + 3.52180i 0.0195770 + 0.136161i
\(670\) 9.40839 20.6015i 0.363478 0.795905i
\(671\) 11.8397 3.47644i 0.457065 0.134206i
\(672\) 0.202677 0.233901i 0.00781842 0.00902294i
\(673\) −46.4834 13.6488i −1.79180 0.526121i −0.795044 0.606552i \(-0.792552\pi\)
−0.996760 + 0.0804313i \(0.974370\pi\)
\(674\) 21.6107 13.8884i 0.832414 0.534960i
\(675\) −1.26828 2.77715i −0.0488162 0.106893i
\(676\) −23.4341 27.0444i −0.901311 1.04017i
\(677\) 8.56762 + 5.50607i 0.329280 + 0.211616i 0.694826 0.719178i \(-0.255481\pi\)
−0.365546 + 0.930793i \(0.619118\pi\)
\(678\) −0.434492 + 3.02196i −0.0166866 + 0.116058i
\(679\) −1.68031 + 11.6868i −0.0644843 + 0.448498i
\(680\) −7.35218 4.72496i −0.281943 0.181194i
\(681\) 1.94220 + 2.24142i 0.0744253 + 0.0858914i
\(682\) −3.27332 7.16757i −0.125342 0.274460i
\(683\) −13.7889 + 8.86159i −0.527618 + 0.339079i −0.777179 0.629280i \(-0.783350\pi\)
0.249561 + 0.968359i \(0.419714\pi\)
\(684\) 8.09245 + 2.37616i 0.309422 + 0.0908546i
\(685\) 24.2927 28.0353i 0.928178 1.07117i
\(686\) 0.959493 0.281733i 0.0366336 0.0107566i
\(687\) −2.46434 + 5.39614i −0.0940203 + 0.205876i
\(688\) −0.148407 1.03220i −0.00565798 0.0393521i
\(689\) 27.4569 1.04602
\(690\) −0.997572 + 3.70153i −0.0379769 + 0.140915i
\(691\) −4.98404 −0.189602 −0.0948008 0.995496i \(-0.530221\pi\)
−0.0948008 + 0.995496i \(0.530221\pi\)
\(692\) 0.539942 + 3.75538i 0.0205255 + 0.142758i
\(693\) −1.89355 + 4.14630i −0.0719301 + 0.157505i
\(694\) −4.64869 + 1.36498i −0.176462 + 0.0518139i
\(695\) −31.3229 + 36.1485i −1.18814 + 1.37119i
\(696\) −1.51369 0.444459i −0.0573762 0.0168472i
\(697\) 12.2344 7.86254i 0.463409 0.297815i
\(698\) 5.99173 + 13.1201i 0.226790 + 0.496602i
\(699\) 3.20662 + 3.70064i 0.121286 + 0.139971i
\(700\) −1.40554 0.903287i −0.0531245 0.0341410i
\(701\) 1.22155 8.49608i 0.0461374 0.320892i −0.953662 0.300879i \(-0.902720\pi\)
0.999800 0.0200135i \(-0.00637092\pi\)
\(702\) 1.81639 12.6333i 0.0685552 0.476812i
\(703\) 6.35447 + 4.08377i 0.239663 + 0.154022i
\(704\) 1.02782 + 1.18616i 0.0387373 + 0.0447052i
\(705\) −1.44627 3.16688i −0.0544695 0.119272i
\(706\) 7.16695 4.60592i 0.269732 0.173346i
\(707\) 8.46578 + 2.48578i 0.318388 + 0.0934873i
\(708\) −1.43568 + 1.65686i −0.0539562 + 0.0622688i
\(709\) 47.2162 13.8639i 1.77324 0.520671i 0.778923 0.627119i \(-0.215766\pi\)
0.994318 + 0.106448i \(0.0339479\pi\)
\(710\) 10.5786 23.1639i 0.397007 0.869325i
\(711\) −0.460168 3.20054i −0.0172576 0.120030i
\(712\) −12.6670 −0.474717
\(713\) −22.1193 9.50999i −0.828375 0.356152i
\(714\) 1.04726 0.0391928
\(715\) 4.02946 + 28.0255i 0.150693 + 1.04810i
\(716\) −3.81271 + 8.34867i −0.142488 + 0.312005i
\(717\) −0.156398 + 0.0459226i −0.00584079 + 0.00171501i
\(718\) 8.63063 9.96027i 0.322092 0.371714i
\(719\) −36.6626 10.7651i −1.36728 0.401470i −0.485958 0.873982i \(-0.661529\pi\)
−0.881325 + 0.472511i \(0.843348\pi\)
\(720\) −6.31020 + 4.05532i −0.235167 + 0.151133i
\(721\) 0.374434 + 0.819897i 0.0139447 + 0.0305346i
\(722\) 6.91944 + 7.98546i 0.257515 + 0.297188i
\(723\) −5.47453 3.51826i −0.203600 0.130846i
\(724\) −3.23126 + 22.4739i −0.120089 + 0.835236i
\(725\) −1.21201 + 8.42974i −0.0450130 + 0.313073i
\(726\) −2.22263 1.42840i −0.0824895 0.0530128i
\(727\) 16.4705 + 19.0080i 0.610858 + 0.704967i 0.973944 0.226788i \(-0.0728225\pi\)
−0.363087 + 0.931755i \(0.618277\pi\)
\(728\) −2.90151 6.35343i −0.107537 0.235474i
\(729\) −18.4775 + 11.8748i −0.684351 + 0.439806i
\(730\) 11.2982 + 3.31746i 0.418166 + 0.122785i
\(731\) 2.31076 2.66676i 0.0854666 0.0986337i
\(732\) −2.33468 + 0.685524i −0.0862922 + 0.0253377i
\(733\) −0.543788 + 1.19073i −0.0200853 + 0.0439806i −0.919409 0.393303i \(-0.871332\pi\)
0.899324 + 0.437284i \(0.144060\pi\)
\(734\) 2.19749 + 15.2839i 0.0811108 + 0.564138i
\(735\) 0.799360 0.0294849
\(736\) 4.76108 + 0.576255i 0.175496 + 0.0212411i
\(737\) −13.7630 −0.506965
\(738\) −1.77636 12.3549i −0.0653888 0.454789i
\(739\) −5.73162 + 12.5505i −0.210841 + 0.461678i −0.985275 0.170977i \(-0.945308\pi\)
0.774434 + 0.632655i \(0.218035\pi\)
\(740\) −6.44573 + 1.89264i −0.236950 + 0.0695748i
\(741\) −4.11108 + 4.74444i −0.151024 + 0.174291i
\(742\) 3.77182 + 1.10751i 0.138468 + 0.0406578i
\(743\) −23.5405 + 15.1286i −0.863617 + 0.555013i −0.895794 0.444469i \(-0.853392\pi\)
0.0321772 + 0.999482i \(0.489756\pi\)
\(744\) 0.645470 + 1.41338i 0.0236641 + 0.0518171i
\(745\) −7.62003 8.79399i −0.279176 0.322187i
\(746\) −18.2349 11.7188i −0.667626 0.429057i
\(747\) 3.48273 24.2229i 0.127427 0.886271i
\(748\) −0.755819 + 5.25684i −0.0276355 + 0.192209i
\(749\) 13.8904 + 8.92682i 0.507545 + 0.326179i
\(750\) 1.74275 + 2.01124i 0.0636363 + 0.0734401i
\(751\) −14.3444 31.4099i −0.523436 1.14616i −0.968122 0.250479i \(-0.919412\pi\)
0.444686 0.895686i \(-0.353315\pi\)
\(752\) −3.66395 + 2.35468i −0.133611 + 0.0858664i
\(753\) 5.50179 + 1.61547i 0.200496 + 0.0588711i
\(754\) −23.3148 + 26.9067i −0.849075 + 0.979884i
\(755\) −24.2060 + 7.10752i −0.880947 + 0.258669i
\(756\) 0.759100 1.66220i 0.0276082 0.0604535i
\(757\) −0.881322 6.12973i −0.0320322 0.222789i 0.967517 0.252805i \(-0.0813531\pi\)
−0.999549 + 0.0300164i \(0.990444\pi\)
\(758\) −26.8428 −0.974975
\(759\) 2.29792 0.382992i 0.0834093 0.0139017i
\(760\) 7.50063 0.272076
\(761\) −1.14383 7.95551i −0.0414638 0.288387i −0.999994 0.00339685i \(-0.998919\pi\)
0.958530 0.284990i \(-0.0919903\pi\)
\(762\) 2.58094 5.65147i 0.0934976 0.204731i
\(763\) −14.1236 + 4.14707i −0.511309 + 0.150134i
\(764\) −10.4717 + 12.0850i −0.378853 + 0.437219i
\(765\) −24.3534 7.15080i −0.880498 0.258538i
\(766\) −1.25853 + 0.808805i −0.0454724 + 0.0292233i
\(767\) 20.5532 + 45.0052i 0.742132 + 1.62504i
\(768\) −0.202677 0.233901i −0.00731346 0.00844018i
\(769\) −19.7283 12.6786i −0.711419 0.457201i 0.134223 0.990951i \(-0.457146\pi\)
−0.845642 + 0.533750i \(0.820782\pi\)
\(770\) −0.576906 + 4.01247i −0.0207902 + 0.144599i
\(771\) −0.281950 + 1.96101i −0.0101542 + 0.0706240i
\(772\) 20.5120 + 13.1823i 0.738243 + 0.474440i
\(773\) 23.8486 + 27.5228i 0.857775 + 0.989925i 1.00000 9.06851e-5i \(2.88660e-5\pi\)
−0.142225