Properties

Label 483.2.bf.a.10.22
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.22
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.22

$q$-expansion

\(f(q)\) \(=\) \(q+(0.369500 - 1.06760i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(0.568868 + 0.447363i) q^{4} +(3.97561 - 0.379625i) q^{5} +(-1.11823 + 0.160778i) q^{6} +(-2.62638 + 0.319547i) q^{7} +(2.58859 - 1.66358i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.369500 - 1.06760i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(0.568868 + 0.447363i) q^{4} +(3.97561 - 0.379625i) q^{5} +(-1.11823 + 0.160778i) q^{6} +(-2.62638 + 0.319547i) q^{7} +(2.58859 - 1.66358i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(1.06370 - 4.38463i) q^{10} +(0.579905 - 0.200707i) q^{11} +(0.136961 - 0.710623i) q^{12} +(-0.0130536 - 0.0444565i) q^{13} +(-0.629300 + 2.92200i) q^{14} +(-2.15915 - 3.35971i) q^{15} +(-0.478320 - 1.97166i) q^{16} +(2.93114 + 1.17345i) q^{17} +(0.655310 + 0.920254i) q^{18} +(0.106407 - 0.0425988i) q^{19} +(2.43143 + 1.56258i) q^{20} +(1.48750 + 2.18800i) q^{21} -0.693267i q^{22} +(-3.88694 + 2.80922i) q^{23} +(-2.66481 - 1.53853i) q^{24} +(10.7517 - 2.07222i) q^{25} +(-0.0522850 - 0.00249064i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-1.63702 - 0.993166i) q^{28} +(-0.704571 - 4.90040i) q^{29} +(-4.38463 + 1.06370i) q^{30} +(-0.899627 + 0.0428545i) q^{31} +(3.84456 + 0.367111i) q^{32} +(-0.444123 - 0.423471i) q^{33} +(2.33583 - 2.69569i) q^{34} +(-10.3202 + 2.26743i) q^{35} +(-0.694387 + 0.203890i) q^{36} +(-6.97719 - 4.96843i) q^{37} +(-0.00616122 - 0.129340i) q^{38} +(-0.0335330 + 0.0319737i) q^{39} +(9.65967 - 7.59645i) q^{40} +(-2.62914 - 1.20069i) q^{41} +(2.88554 - 0.779593i) q^{42} +(-3.51134 + 5.46375i) q^{43} +(0.419678 + 0.145252i) q^{44} +(-1.99685 + 3.45864i) q^{45} +(1.56290 + 5.18770i) q^{46} +(-11.8139 + 6.82078i) q^{47} +(-1.53330 + 1.32862i) q^{48} +(6.79578 - 1.67850i) q^{49} +(1.76045 - 12.2442i) q^{50} +(-0.300121 - 3.14301i) q^{51} +(0.0124624 - 0.0311296i) q^{52} +(-6.16614 - 6.46686i) q^{53} +(0.517674 - 1.00415i) q^{54} +(2.22928 - 1.01808i) q^{55} +(-6.26703 + 5.19638i) q^{56} +(-0.0866217 - 0.0750581i) q^{57} +(-5.49200 - 1.05850i) q^{58} +(5.96573 + 1.44727i) q^{59} +(0.274735 - 2.87716i) q^{60} +(3.58765 + 1.84956i) q^{61} +(-0.286661 + 0.976276i) q^{62} +(1.26316 - 2.32474i) q^{63} +(3.49813 - 7.65983i) q^{64} +(-0.0687728 - 0.171786i) q^{65} +(-0.616200 + 0.317673i) q^{66} +(1.38928 + 7.20828i) q^{67} +(1.14247 + 1.97882i) q^{68} +(4.27803 + 2.16759i) q^{69} +(-1.39259 + 11.8556i) q^{70} +(-2.10992 - 2.43498i) q^{71} +(-0.146412 + 3.07357i) q^{72} +(0.180264 - 0.229224i) q^{73} +(-7.88237 + 5.61301i) q^{74} +(-6.76859 - 8.60696i) q^{75} +(0.0795884 + 0.0233693i) q^{76} +(-1.45892 + 0.712440i) q^{77} +(0.0217446 + 0.0476141i) q^{78} +(7.96425 - 8.35267i) q^{79} +(-2.65011 - 7.65698i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-2.25332 + 2.36321i) q^{82} +(5.02032 + 10.9930i) q^{83} +(-0.132636 + 1.91013i) q^{84} +(12.0985 + 3.55245i) q^{85} +(4.53565 + 5.76755i) q^{86} +(-4.03280 + 2.87174i) q^{87} +(1.16724 - 1.48427i) q^{88} +(-0.699789 + 14.6904i) q^{89} +(2.95461 + 3.40980i) q^{90} +(0.0484897 + 0.112589i) q^{91} +(-3.46789 - 0.140795i) q^{92} +(0.450324 + 0.779983i) q^{93} +(2.91661 + 15.1328i) q^{94} +(0.406860 - 0.209751i) q^{95} +(-1.43538 - 3.58540i) q^{96} +(-1.42557 + 3.12156i) q^{97} +(0.719069 - 7.87538i) q^{98} +(-0.172887 + 0.588798i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.369500 1.06760i 0.261276 0.754907i −0.735708 0.677299i \(-0.763151\pi\)
0.996984 0.0776081i \(-0.0247283\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) 0.568868 + 0.447363i 0.284434 + 0.223681i
\(5\) 3.97561 0.379625i 1.77795 0.169773i 0.846196 0.532871i \(-0.178887\pi\)
0.931751 + 0.363098i \(0.118281\pi\)
\(6\) −1.11823 + 0.160778i −0.456517 + 0.0656373i
\(7\) −2.62638 + 0.319547i −0.992680 + 0.120777i
\(8\) 2.58859 1.66358i 0.915203 0.588165i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 1.06370 4.38463i 0.336371 1.38654i
\(11\) 0.579905 0.200707i 0.174848 0.0605154i −0.238241 0.971206i \(-0.576571\pi\)
0.413089 + 0.910691i \(0.364450\pi\)
\(12\) 0.136961 0.710623i 0.0395374 0.205139i
\(13\) −0.0130536 0.0444565i −0.00362042 0.0123300i 0.957663 0.287892i \(-0.0929543\pi\)
−0.961283 + 0.275562i \(0.911136\pi\)
\(14\) −0.629300 + 2.92200i −0.168188 + 0.780937i
\(15\) −2.15915 3.35971i −0.557491 0.867473i
\(16\) −0.478320 1.97166i −0.119580 0.492916i
\(17\) 2.93114 + 1.17345i 0.710905 + 0.284604i 0.698794 0.715323i \(-0.253720\pi\)
0.0121116 + 0.999927i \(0.496145\pi\)
\(18\) 0.655310 + 0.920254i 0.154458 + 0.216906i
\(19\) 0.106407 0.0425988i 0.0244114 0.00977284i −0.359425 0.933174i \(-0.617027\pi\)
0.383836 + 0.923401i \(0.374603\pi\)
\(20\) 2.43143 + 1.56258i 0.543684 + 0.349404i
\(21\) 1.48750 + 2.18800i 0.324600 + 0.477460i
\(22\) 0.693267i 0.147805i
\(23\) −3.88694 + 2.80922i −0.810482 + 0.585763i
\(24\) −2.66481 1.53853i −0.543952 0.314051i
\(25\) 10.7517 2.07222i 2.15034 0.414445i
\(26\) −0.0522850 0.00249064i −0.0102539 0.000488455i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −1.63702 0.993166i −0.309367 0.187691i
\(29\) −0.704571 4.90040i −0.130836 0.909982i −0.944468 0.328602i \(-0.893422\pi\)
0.813633 0.581379i \(-0.197487\pi\)
\(30\) −4.38463 + 1.06370i −0.800520 + 0.194204i
\(31\) −0.899627 + 0.0428545i −0.161578 + 0.00769690i −0.128215 0.991746i \(-0.540925\pi\)
−0.0333629 + 0.999443i \(0.510622\pi\)
\(32\) 3.84456 + 0.367111i 0.679629 + 0.0648967i
\(33\) −0.444123 0.423471i −0.0773119 0.0737168i
\(34\) 2.33583 2.69569i 0.400592 0.462307i
\(35\) −10.3202 + 2.26743i −1.74443 + 0.383266i
\(36\) −0.694387 + 0.203890i −0.115731 + 0.0339817i
\(37\) −6.97719 4.96843i −1.14704 0.816806i −0.161607 0.986855i \(-0.551668\pi\)
−0.985436 + 0.170050i \(0.945607\pi\)
\(38\) −0.00616122 0.129340i −0.000999482 0.0209817i
\(39\) −0.0335330 + 0.0319737i −0.00536958 + 0.00511988i
\(40\) 9.65967 7.59645i 1.52733 1.20110i
\(41\) −2.62914 1.20069i −0.410602 0.187516i 0.199395 0.979919i \(-0.436102\pi\)
−0.609997 + 0.792403i \(0.708830\pi\)
\(42\) 2.88554 0.779593i 0.445248 0.120294i
\(43\) −3.51134 + 5.46375i −0.535474 + 0.833213i −0.998590 0.0530841i \(-0.983095\pi\)
0.463116 + 0.886298i \(0.346731\pi\)
\(44\) 0.419678 + 0.145252i 0.0632688 + 0.0218976i
\(45\) −1.99685 + 3.45864i −0.297672 + 0.515584i
\(46\) 1.56290 + 5.18770i 0.230437 + 0.764884i
\(47\) −11.8139 + 6.82078i −1.72324 + 0.994913i −0.811251 + 0.584698i \(0.801213\pi\)
−0.911989 + 0.410216i \(0.865453\pi\)
\(48\) −1.53330 + 1.32862i −0.221313 + 0.191769i
\(49\) 6.79578 1.67850i 0.970826 0.239786i
\(50\) 1.76045 12.2442i 0.248966 1.73159i
\(51\) −0.300121 3.14301i −0.0420253 0.440109i
\(52\) 0.0124624 0.0311296i 0.00172822 0.00431689i
\(53\) −6.16614 6.46686i −0.846984 0.888291i 0.147932 0.988997i \(-0.452738\pi\)
−0.994916 + 0.100706i \(0.967890\pi\)
\(54\) 0.517674 1.00415i 0.0704465 0.136647i
\(55\) 2.22928 1.01808i 0.300596 0.137278i
\(56\) −6.26703 + 5.19638i −0.837467 + 0.694396i
\(57\) −0.0866217 0.0750581i −0.0114733 0.00994169i
\(58\) −5.49200 1.05850i −0.721135 0.138987i
\(59\) 5.96573 + 1.44727i 0.776672 + 0.188419i 0.604454 0.796640i \(-0.293391\pi\)
0.172218 + 0.985059i \(0.444907\pi\)
\(60\) 0.274735 2.87716i 0.0354681 0.371439i
\(61\) 3.58765 + 1.84956i 0.459351 + 0.236812i 0.672340 0.740243i \(-0.265289\pi\)
−0.212988 + 0.977055i \(0.568320\pi\)
\(62\) −0.286661 + 0.976276i −0.0364059 + 0.123987i
\(63\) 1.26316 2.32474i 0.159143 0.292890i
\(64\) 3.49813 7.65983i 0.437266 0.957478i
\(65\) −0.0687728 0.171786i −0.00853022 0.0213075i
\(66\) −0.616200 + 0.317673i −0.0758490 + 0.0391029i
\(67\) 1.38928 + 7.20828i 0.169728 + 0.880632i 0.962535 + 0.271159i \(0.0874068\pi\)
−0.792807 + 0.609473i \(0.791381\pi\)
\(68\) 1.14247 + 1.97882i 0.138545 + 0.239967i
\(69\) 4.27803 + 2.16759i 0.515015 + 0.260947i
\(70\) −1.39259 + 11.8556i −0.166446 + 1.41702i
\(71\) −2.10992 2.43498i −0.250402 0.288979i 0.616608 0.787270i \(-0.288506\pi\)
−0.867010 + 0.498291i \(0.833961\pi\)
\(72\) −0.146412 + 3.07357i −0.0172549 + 0.362224i
\(73\) 0.180264 0.229224i 0.0210983 0.0268287i −0.775389 0.631483i \(-0.782446\pi\)
0.796488 + 0.604655i \(0.206689\pi\)
\(74\) −7.88237 + 5.61301i −0.916307 + 0.652499i
\(75\) −6.76859 8.60696i −0.781570 0.993847i
\(76\) 0.0795884 + 0.0233693i 0.00912942 + 0.00268064i
\(77\) −1.45892 + 0.712440i −0.166259 + 0.0811901i
\(78\) 0.0217446 + 0.0476141i 0.00246209 + 0.00539123i
\(79\) 7.96425 8.35267i 0.896049 0.939749i −0.102438 0.994739i \(-0.532664\pi\)
0.998487 + 0.0549906i \(0.0175129\pi\)
\(80\) −2.65011 7.65698i −0.296291 0.856077i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −2.25332 + 2.36321i −0.248837 + 0.260973i
\(83\) 5.02032 + 10.9930i 0.551051 + 1.20663i 0.956289 + 0.292423i \(0.0944615\pi\)
−0.405238 + 0.914211i \(0.632811\pi\)
\(84\) −0.132636 + 1.91013i −0.0144718 + 0.208413i
\(85\) 12.0985 + 3.55245i 1.31227 + 0.385317i
\(86\) 4.53565 + 5.76755i 0.489092 + 0.621931i
\(87\) −4.03280 + 2.87174i −0.432361 + 0.307883i
\(88\) 1.16724 1.48427i 0.124428 0.158223i
\(89\) −0.699789 + 14.6904i −0.0741775 + 1.55718i 0.588639 + 0.808396i \(0.299664\pi\)
−0.662817 + 0.748782i \(0.730639\pi\)
\(90\) 2.95461 + 3.40980i 0.311443 + 0.359424i
\(91\) 0.0484897 + 0.112589i 0.00508310 + 0.0118025i
\(92\) −3.46789 0.140795i −0.361553 0.0146789i
\(93\) 0.450324 + 0.779983i 0.0466964 + 0.0808805i
\(94\) 2.91661 + 15.1328i 0.300826 + 1.56083i
\(95\) 0.406860 0.209751i 0.0417429 0.0215200i
\(96\) −1.43538 3.58540i −0.146498 0.365934i
\(97\) −1.42557 + 3.12156i −0.144744 + 0.316946i −0.968093 0.250589i \(-0.919376\pi\)
0.823349 + 0.567535i \(0.192103\pi\)
\(98\) 0.719069 7.87538i 0.0726369 0.795533i
\(99\) −0.172887 + 0.588798i −0.0173758 + 0.0591764i
\(100\) 7.04335 + 3.63110i 0.704335 + 0.363110i
\(101\) −1.72272 + 18.0411i −0.171417 + 1.79516i 0.344774 + 0.938686i \(0.387956\pi\)
−0.516190 + 0.856474i \(0.672650\pi\)
\(102\) −3.46637 0.840931i −0.343221 0.0832646i
\(103\) −15.3984 2.96779i −1.51725 0.292425i −0.638466 0.769650i \(-0.720431\pi\)
−0.878781 + 0.477224i \(0.841643\pi\)
\(104\) −0.107747 0.0933637i −0.0105655 0.00915506i
\(105\) 6.74435 + 8.13394i 0.658181 + 0.793791i
\(106\) −9.18240 + 4.19346i −0.891873 + 0.407305i
\(107\) −2.22097 + 4.30808i −0.214709 + 0.416478i −0.971452 0.237234i \(-0.923759\pi\)
0.756743 + 0.653712i \(0.226789\pi\)
\(108\) 0.499411 + 0.523767i 0.0480559 + 0.0503995i
\(109\) −0.0235768 + 0.0588920i −0.00225825 + 0.00564084i −0.929493 0.368840i \(-0.879755\pi\)
0.927235 + 0.374481i \(0.122179\pi\)
\(110\) −0.263181 2.75616i −0.0250934 0.262790i
\(111\) −1.21899 + 8.47824i −0.115701 + 0.804719i
\(112\) 1.88629 + 5.02550i 0.178238 + 0.474865i
\(113\) 5.29534 4.58844i 0.498144 0.431644i −0.369202 0.929349i \(-0.620369\pi\)
0.867347 + 0.497705i \(0.165824\pi\)
\(114\) −0.112139 + 0.0647433i −0.0105027 + 0.00606377i
\(115\) −14.3865 + 12.6439i −1.34155 + 1.17905i
\(116\) 1.79145 3.10288i 0.166332 0.288095i
\(117\) 0.0437850 + 0.0151541i 0.00404793 + 0.00140100i
\(118\) 3.74944 5.83424i 0.345164 0.537086i
\(119\) −8.07327 2.14530i −0.740075 0.196659i
\(120\) −11.1783 5.10496i −1.02044 0.466017i
\(121\) −8.35058 + 6.56697i −0.759143 + 0.596997i
\(122\) 3.30023 3.14676i 0.298788 0.284894i
\(123\) 0.137528 + 2.88706i 0.0124004 + 0.260317i
\(124\) −0.530941 0.378081i −0.0476799 0.0339527i
\(125\) 22.7984 6.69421i 2.03915 0.598749i
\(126\) −2.01516 2.20754i −0.179525 0.196663i
\(127\) 8.14098 9.39519i 0.722395 0.833688i −0.269198 0.963085i \(-0.586759\pi\)
0.991593 + 0.129397i \(0.0413041\pi\)
\(128\) −1.29487 1.23466i −0.114452 0.109129i
\(129\) 6.46536 + 0.617367i 0.569243 + 0.0543561i
\(130\) −0.208810 + 0.00994687i −0.0183139 + 0.000872398i
\(131\) 13.8468 3.35919i 1.20980 0.293494i 0.420380 0.907348i \(-0.361897\pi\)
0.789419 + 0.613854i \(0.210382\pi\)
\(132\) −0.0632025 0.439583i −0.00550107 0.0382608i
\(133\) −0.265852 + 0.145883i −0.0230523 + 0.0126496i
\(134\) 8.20890 + 1.18026i 0.709141 + 0.101959i
\(135\) 3.98917 + 0.190028i 0.343333 + 0.0163550i
\(136\) 9.53964 1.83861i 0.818017 0.157660i
\(137\) −1.13982 0.658078i −0.0973818 0.0562234i 0.450518 0.892767i \(-0.351239\pi\)
−0.547900 + 0.836544i \(0.684573\pi\)
\(138\) 3.89485 3.76630i 0.331551 0.320609i
\(139\) 1.67284i 0.141888i 0.997480 + 0.0709442i \(0.0226012\pi\)
−0.997480 + 0.0709442i \(0.977399\pi\)
\(140\) −6.88518 3.32699i −0.581904 0.281182i
\(141\) 11.4760 + 7.37518i 0.966454 + 0.621103i
\(142\) −3.37920 + 1.35283i −0.283576 + 0.113527i
\(143\) −0.0164926 0.0231606i −0.00137918 0.00193679i
\(144\) 1.88352 + 0.754048i 0.156960 + 0.0628374i
\(145\) −4.66141 19.2146i −0.387109 1.59569i
\(146\) −0.178112 0.277148i −0.0147407 0.0229369i
\(147\) −4.60592 5.27119i −0.379890 0.434761i
\(148\) −1.74641 5.94772i −0.143554 0.488899i
\(149\) −1.12355 + 5.82955i −0.0920452 + 0.477576i 0.906429 + 0.422358i \(0.138797\pi\)
−0.998474 + 0.0552178i \(0.982415\pi\)
\(150\) −11.6898 + 4.04587i −0.954467 + 0.330344i
\(151\) 0.855463 3.52627i 0.0696166 0.286964i −0.926353 0.376657i \(-0.877074\pi\)
0.995969 + 0.0896934i \(0.0285887\pi\)
\(152\) 0.204576 0.287287i 0.0165933 0.0233020i
\(153\) −2.65609 + 1.70697i −0.214732 + 0.138000i
\(154\) 0.221531 + 1.82079i 0.0178515 + 0.146723i
\(155\) −3.56030 + 0.511894i −0.285970 + 0.0411163i
\(156\) −0.0333797 + 0.00318737i −0.00267251 + 0.000255194i
\(157\) −7.35293 5.78241i −0.586828 0.461486i 0.280065 0.959981i \(-0.409644\pi\)
−0.866893 + 0.498495i \(0.833886\pi\)
\(158\) −5.97451 11.5889i −0.475307 0.921967i
\(159\) −2.92249 + 8.44397i −0.231768 + 0.669650i
\(160\) 15.4239 1.21936
\(161\) 9.31091 8.62015i 0.733803 0.679363i
\(162\) −1.12973 −0.0887603
\(163\) 2.47855 7.16131i 0.194135 0.560917i −0.805357 0.592790i \(-0.798026\pi\)
0.999492 + 0.0318737i \(0.0101474\pi\)
\(164\) −0.958489 1.85921i −0.0748455 0.145180i
\(165\) −1.92642 1.51495i −0.149972 0.117939i
\(166\) 13.5911 1.29779i 1.05487 0.100728i
\(167\) 3.58201 0.515015i 0.277184 0.0398531i −0.00232072 0.999997i \(-0.500739\pi\)
0.279505 + 0.960144i \(0.409830\pi\)
\(168\) 7.49044 + 3.18924i 0.577900 + 0.246055i
\(169\) 10.9345 7.02717i 0.841115 0.540552i
\(170\) 8.26300 11.6038i 0.633743 0.889968i
\(171\) −0.0270220 + 0.111386i −0.00206642 + 0.00851790i
\(172\) −4.44176 + 1.53731i −0.338681 + 0.117219i
\(173\) −3.88190 + 20.1412i −0.295135 + 1.53131i 0.467216 + 0.884143i \(0.345257\pi\)
−0.762351 + 0.647164i \(0.775955\pi\)
\(174\) 1.57575 + 5.36652i 0.119457 + 0.406835i
\(175\) −27.5760 + 8.87813i −2.08455 + 0.671124i
\(176\) −0.673107 1.04737i −0.0507373 0.0789488i
\(177\) −1.44727 5.96573i −0.108783 0.448412i
\(178\) 15.4249 + 6.17519i 1.15614 + 0.462850i
\(179\) −15.2596 21.4291i −1.14055 1.60168i −0.719225 0.694777i \(-0.755503\pi\)
−0.421329 0.906908i \(-0.638436\pi\)
\(180\) −2.68321 + 1.07419i −0.199995 + 0.0800658i
\(181\) 9.90417 + 6.36502i 0.736171 + 0.473108i 0.854228 0.519898i \(-0.174030\pi\)
−0.118057 + 0.993007i \(0.537667\pi\)
\(182\) 0.138116 0.0101661i 0.0102379 0.000753563i
\(183\) 4.03635i 0.298375i
\(184\) −5.38830 + 13.7382i −0.397231 + 1.01279i
\(185\) −29.6247 17.1038i −2.17805 1.25750i
\(186\) 0.999104 0.192562i 0.0732579 0.0141193i
\(187\) 1.93530 + 0.0921897i 0.141523 + 0.00674158i
\(188\) −9.77193 1.40499i −0.712691 0.102470i
\(189\) −2.64513 0.0574792i −0.192405 0.00418099i
\(190\) −0.0735953 0.511866i −0.00533916 0.0371347i
\(191\) −21.7550 + 5.27770i −1.57414 + 0.381881i −0.925357 0.379097i \(-0.876235\pi\)
−0.648778 + 0.760978i \(0.724720\pi\)
\(192\) −8.41126 + 0.400678i −0.607030 + 0.0289164i
\(193\) −22.6257 2.16050i −1.62864 0.155516i −0.759643 0.650340i \(-0.774626\pi\)
−0.868993 + 0.494824i \(0.835232\pi\)
\(194\) 2.80582 + 2.67535i 0.201446 + 0.192079i
\(195\) −0.121176 + 0.139845i −0.00867761 + 0.0100145i
\(196\) 4.61680 + 2.08533i 0.329771 + 0.148952i
\(197\) 11.7035 3.43646i 0.833839 0.244837i 0.163174 0.986597i \(-0.447827\pi\)
0.670665 + 0.741760i \(0.266009\pi\)
\(198\) 0.564719 + 0.402134i 0.0401328 + 0.0285784i
\(199\) −0.492608 10.3411i −0.0349200 0.733061i −0.946648 0.322268i \(-0.895555\pi\)
0.911728 0.410793i \(-0.134748\pi\)
\(200\) 24.3844 23.2505i 1.72424 1.64406i
\(201\) 5.77037 4.53787i 0.407011 0.320077i
\(202\) 18.6242 + 8.50537i 1.31039 + 0.598436i
\(203\) 3.41638 + 12.6452i 0.239783 + 0.887518i
\(204\) 1.23533 1.92222i 0.0864907 0.134582i
\(205\) −10.9082 3.77538i −0.761864 0.263684i
\(206\) −8.85811 + 15.3427i −0.617174 + 1.06898i
\(207\) −0.0336788 4.79571i −0.00234084 0.333325i
\(208\) −0.0814094 + 0.0470017i −0.00564473 + 0.00325898i
\(209\) 0.0531558 0.0460598i 0.00367687 0.00318602i
\(210\) 11.1758 4.19478i 0.771205 0.289467i
\(211\) −1.05331 + 7.32590i −0.0725125 + 0.504336i 0.920905 + 0.389787i \(0.127451\pi\)
−0.993418 + 0.114549i \(0.963458\pi\)
\(212\) −0.614686 6.43729i −0.0422168 0.442115i
\(213\) −1.19747 + 2.99115i −0.0820496 + 0.204950i
\(214\) 3.77866 + 3.96294i 0.258304 + 0.270901i
\(215\) −11.8855 + 23.0547i −0.810587 + 1.57232i
\(216\) 2.79899 1.27826i 0.190447 0.0869743i
\(217\) 2.34907 0.400025i 0.159465 0.0271555i
\(218\) 0.0541615 + 0.0469312i 0.00366828 + 0.00317858i
\(219\) −0.286344 0.0551884i −0.0193494 0.00372928i
\(220\) 1.72362 + 0.418145i 0.116206 + 0.0281913i
\(221\) 0.0139056 0.145626i 0.000935391 0.00979586i
\(222\) 8.60095 + 4.43410i 0.577258 + 0.297597i
\(223\) 3.48642 11.8736i 0.233468 0.795118i −0.756521 0.653970i \(-0.773102\pi\)
0.989988 0.141148i \(-0.0450794\pi\)
\(224\) −10.2146 + 0.264343i −0.682492 + 0.0176621i
\(225\) −4.54863 + 9.96010i −0.303242 + 0.664007i
\(226\) −2.94199 7.34873i −0.195698 0.488831i
\(227\) 16.0954 8.29774i 1.06829 0.550740i 0.167889 0.985806i \(-0.446305\pi\)
0.900399 + 0.435066i \(0.143275\pi\)
\(228\) −0.0156981 0.0814494i −0.00103963 0.00539412i
\(229\) 2.70976 + 4.69344i 0.179066 + 0.310151i 0.941561 0.336843i \(-0.109359\pi\)
−0.762495 + 0.646994i \(0.776026\pi\)
\(230\) 8.18286 + 20.0310i 0.539562 + 1.32080i
\(231\) 1.30176 + 0.970278i 0.0856493 + 0.0638396i
\(232\) −9.97607 11.5130i −0.654961 0.755865i
\(233\) −0.216059 + 4.53563i −0.0141545 + 0.297139i 0.980679 + 0.195622i \(0.0626726\pi\)
−0.994834 + 0.101517i \(0.967630\pi\)
\(234\) 0.0323571 0.0411454i 0.00211525 0.00268976i
\(235\) −44.3783 + 31.6016i −2.89492 + 2.06146i
\(236\) 2.74626 + 3.49215i 0.178766 + 0.227320i
\(237\) −11.0736 3.25150i −0.719306 0.211207i
\(238\) −5.27339 + 7.82633i −0.341823 + 0.507305i
\(239\) −3.10404 6.79691i −0.200784 0.439655i 0.782278 0.622930i \(-0.214058\pi\)
−0.983062 + 0.183274i \(0.941330\pi\)
\(240\) −5.59145 + 5.86414i −0.360926 + 0.378529i
\(241\) 6.85251 + 19.7990i 0.441409 + 1.27537i 0.918118 + 0.396306i \(0.129708\pi\)
−0.476710 + 0.879061i \(0.658171\pi\)
\(242\) 3.92535 + 11.3416i 0.252331 + 0.729063i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) 1.21347 + 2.65714i 0.0776847 + 0.170106i
\(245\) 26.3802 9.25293i 1.68537 0.591148i
\(246\) 3.13304 + 0.919943i 0.199755 + 0.0586534i
\(247\) −0.00328278 0.00417440i −0.000208879 0.000265611i
\(248\) −2.25747 + 1.60754i −0.143349 + 0.102079i
\(249\) 7.47049 9.49950i 0.473423 0.602006i
\(250\) 1.27726 26.8131i 0.0807812 1.69581i
\(251\) 1.99912 + 2.30711i 0.126184 + 0.145624i 0.815326 0.579003i \(-0.196558\pi\)
−0.689142 + 0.724626i \(0.742012\pi\)
\(252\) 1.75857 0.757383i 0.110780 0.0477106i
\(253\) −1.69022 + 2.40922i −0.106263 + 0.151466i
\(254\) −7.02221 12.1628i −0.440612 0.763163i
\(255\) −2.38633 12.3814i −0.149438 0.775356i
\(256\) 13.1728 6.79107i 0.823302 0.424442i
\(257\) −9.94391 24.8387i −0.620284 1.54940i −0.821719 0.569893i \(-0.806984\pi\)
0.201434 0.979502i \(-0.435440\pi\)
\(258\) 3.04805 6.67430i 0.189763 0.415523i
\(259\) 19.9124 + 10.8195i 1.23730 + 0.672290i
\(260\) 0.0377281 0.128490i 0.00233980 0.00796862i
\(261\) 4.40044 + 2.26858i 0.272380 + 0.140422i
\(262\) 1.53011 16.0240i 0.0945305 0.989968i
\(263\) 22.8456 + 5.54228i 1.40872 + 0.341752i 0.866790 0.498673i \(-0.166179\pi\)
0.541929 + 0.840424i \(0.317694\pi\)
\(264\) −1.85413 0.357354i −0.114114 0.0219936i
\(265\) −26.9691 23.3689i −1.65670 1.43554i
\(266\) 0.0575119 + 0.337727i 0.00352628 + 0.0207074i
\(267\) 13.3780 6.10953i 0.818720 0.373897i
\(268\) −2.43440 + 4.72207i −0.148705 + 0.288447i
\(269\) −10.9301 11.4632i −0.666422 0.698923i 0.300562 0.953762i \(-0.402826\pi\)
−0.966983 + 0.254840i \(0.917977\pi\)
\(270\) 1.67687 4.18862i 0.102051 0.254911i
\(271\) −2.60885 27.3211i −0.158476 1.65964i −0.629114 0.777313i \(-0.716582\pi\)
0.470637 0.882327i \(-0.344024\pi\)
\(272\) 0.911627 6.34050i 0.0552755 0.384449i
\(273\) 0.0778534 0.0946904i 0.00471190 0.00573093i
\(274\) −1.12373 + 0.973716i −0.0678869 + 0.0588244i
\(275\) 5.81907 3.35964i 0.350903 0.202594i
\(276\) 1.46394 + 3.14690i 0.0881187 + 0.189421i
\(277\) 11.7516 20.3543i 0.706084 1.22297i −0.260215 0.965551i \(-0.583794\pi\)
0.966299 0.257422i \(-0.0828731\pi\)
\(278\) 1.78592 + 0.618113i 0.107112 + 0.0370720i
\(279\) 0.486927 0.757673i 0.0291515 0.0453607i
\(280\) −22.9426 + 23.0379i −1.37108 + 1.37678i
\(281\) −0.363126 0.165834i −0.0216623 0.00989283i 0.404554 0.914514i \(-0.367427\pi\)
−0.426217 + 0.904621i \(0.640154\pi\)
\(282\) 12.1141 9.52665i 0.721386 0.567304i
\(283\) −2.93315 + 2.79675i −0.174358 + 0.166250i −0.772233 0.635339i \(-0.780860\pi\)
0.597875 + 0.801589i \(0.296012\pi\)
\(284\) −0.110948 2.32908i −0.00658355 0.138206i
\(285\) −0.372868 0.265518i −0.0220868 0.0157279i
\(286\) −0.0308202 + 0.00904963i −0.00182244 + 0.000535116i
\(287\) 7.28880 + 2.31333i 0.430244 + 0.136552i
\(288\) −2.52911 + 2.91874i −0.149029 + 0.171989i
\(289\) −5.08889 4.85225i −0.299347 0.285426i
\(290\) −22.2359 2.12327i −1.30574 0.124683i
\(291\) 3.42778 0.163285i 0.200940 0.00957196i
\(292\) 0.205093 0.0497550i 0.0120021 0.00291169i
\(293\) 1.63567 + 11.3763i 0.0955567 + 0.664611i 0.980151 + 0.198251i \(0.0635260\pi\)
−0.884595 + 0.466361i \(0.845565\pi\)
\(294\) −7.32941 + 2.96957i −0.427460 + 0.173189i
\(295\) 24.2668 + 3.48904i 1.41287 + 0.203140i
\(296\) −26.3265 1.25408i −1.53019 0.0728921i
\(297\) 0.602566 0.116135i 0.0349644 0.00673884i
\(298\) 5.80847 + 3.35352i 0.336476 + 0.194264i
\(299\) 0.175627 + 0.136129i 0.0101568 + 0.00787255i
\(300\) 7.92424i 0.457506i
\(301\) 7.47619 15.4719i 0.430921 0.891787i
\(302\) −3.44855 2.21625i −0.198442 0.127531i
\(303\) 16.8250 6.73571i 0.966571 0.386956i
\(304\) −0.134887 0.189422i −0.00773630 0.0108641i
\(305\) 14.9652 + 5.99118i 0.856907 + 0.343054i
\(306\) 0.840931 + 3.46637i 0.0480728 + 0.198159i
\(307\) −11.5672 17.9988i −0.660172 1.02725i −0.996343 0.0854472i \(-0.972768\pi\)
0.336170 0.941801i \(-0.390868\pi\)
\(308\) −1.14865 0.247381i −0.0654504 0.0140958i
\(309\) 4.41807 + 15.0465i 0.251335 + 0.855968i
\(310\) −0.769032 + 3.99012i −0.0436781 + 0.226623i
\(311\) 26.9803 9.33797i 1.52991 0.529508i 0.572917 0.819613i \(-0.305812\pi\)
0.956995 + 0.290105i \(0.0936904\pi\)
\(312\) −0.0336122 + 0.138551i −0.00190292 + 0.00784393i
\(313\) −13.7579 + 19.3202i −0.777640 + 1.09204i 0.215659 + 0.976469i \(0.430810\pi\)
−0.993299 + 0.115573i \(0.963129\pi\)
\(314\) −8.89020 + 5.71338i −0.501703 + 0.322425i
\(315\) 4.13929 9.72180i 0.233223 0.547762i
\(316\) 8.26728 1.18866i 0.465071 0.0668671i
\(317\) 3.42140 0.326704i 0.192165 0.0183495i 0.00147035 0.999999i \(-0.499532\pi\)
0.190695 + 0.981649i \(0.438926\pi\)
\(318\) 7.93492 + 6.24009i 0.444968 + 0.349927i
\(319\) −1.39213 2.70035i −0.0779442 0.151191i
\(320\) 10.9993 31.7805i 0.614881 1.77658i
\(321\) 4.84689 0.270527
\(322\) −5.76249 13.1255i −0.321131 0.731454i
\(323\) 0.361880 0.0201356
\(324\) 0.236700 0.683899i 0.0131500 0.0379944i
\(325\) −0.232473 0.450934i −0.0128953 0.0250133i
\(326\) −6.72958 5.29220i −0.372717 0.293108i
\(327\) 0.0631489 0.00602999i 0.00349214 0.000333459i
\(328\) −8.80319 + 1.26571i −0.486075 + 0.0698870i
\(329\) 28.8484 21.6891i 1.59046 1.19576i
\(330\) −2.32918 + 1.49687i −0.128217 + 0.0824000i
\(331\) 2.18659 3.07063i 0.120186 0.168777i −0.750100 0.661324i \(-0.769995\pi\)
0.870286 + 0.492547i \(0.163934\pi\)
\(332\) −2.06194 + 8.49944i −0.113164 + 0.466468i
\(333\) 8.09433 2.80148i 0.443567 0.153520i
\(334\) 0.773722 4.01445i 0.0423362 0.219661i
\(335\) 8.25969 + 28.1299i 0.451275 + 1.53690i
\(336\) 3.60249 3.97942i 0.196532 0.217095i
\(337\) −11.6998 18.2053i −0.637331 0.991706i −0.998251 0.0591098i \(-0.981174\pi\)
0.360921 0.932597i \(-0.382463\pi\)
\(338\) −3.46191 14.2702i −0.188303 0.776196i
\(339\) −6.50484 2.60414i −0.353294 0.141438i
\(340\) 5.29323 + 7.43331i 0.287066 + 0.403128i
\(341\) −0.513097 + 0.205413i −0.0277858 + 0.0111237i
\(342\) 0.108931 + 0.0700057i 0.00589032 + 0.00378548i
\(343\) −17.3120 + 6.57996i −0.934758 + 0.355285i
\(344\) 19.9848i 1.07751i
\(345\) 17.8307 + 6.99344i 0.959971 + 0.376514i
\(346\) 20.0684 + 11.5865i 1.07888 + 0.622893i
\(347\) −14.0437 + 2.70671i −0.753907 + 0.145304i −0.551704 0.834040i \(-0.686022\pi\)
−0.202203 + 0.979344i \(0.564810\pi\)
\(348\) −3.57884 0.170481i −0.191846 0.00913874i
\(349\) −25.7931 3.70849i −1.38067 0.198511i −0.588347 0.808608i \(-0.700221\pi\)
−0.792326 + 0.610097i \(0.791130\pi\)
\(350\) −0.711025 + 32.7206i −0.0380059 + 1.74899i
\(351\) −0.00659392 0.0458617i −0.000351957 0.00244792i
\(352\) 2.30316 0.558741i 0.122759 0.0297810i
\(353\) 3.41322 0.162591i 0.181667 0.00865387i 0.0434488 0.999056i \(-0.486165\pi\)
0.138218 + 0.990402i \(0.455862\pi\)
\(354\) −6.90377 0.659231i −0.366931 0.0350377i
\(355\) −9.31261 8.87956i −0.494262 0.471278i
\(356\) −6.97002 + 8.04383i −0.369410 + 0.426322i
\(357\) 1.79257 + 8.15884i 0.0948728 + 0.431811i
\(358\) −28.5161 + 8.37308i −1.50712 + 0.442531i
\(359\) 19.4983 + 13.8847i 1.02908 + 0.732805i 0.964224 0.265089i \(-0.0854015\pi\)
0.0648570 + 0.997895i \(0.479341\pi\)
\(360\) 0.584726 + 12.2749i 0.0308178 + 0.646945i
\(361\) −13.7414 + 13.1024i −0.723234 + 0.689602i
\(362\) 10.4549 8.22181i 0.549496 0.432129i
\(363\) 9.66341 + 4.41313i 0.507197 + 0.231629i
\(364\) −0.0227837 + 0.0857405i −0.00119419 + 0.00449402i
\(365\) 0.629640 0.979739i 0.0329569 0.0512819i
\(366\) −4.30920 1.49143i −0.225246 0.0779583i
\(367\) 14.8447 25.7118i 0.774888 1.34214i −0.159970 0.987122i \(-0.551140\pi\)
0.934858 0.355023i \(-0.115527\pi\)
\(368\) 7.39804 + 6.32002i 0.385649 + 0.329454i
\(369\) 2.50310 1.44517i 0.130306 0.0752323i
\(370\) −29.2064 + 25.3075i −1.51837 + 1.31567i
\(371\) 18.2611 + 15.0141i 0.948069 + 0.779492i
\(372\) −0.0927608 + 0.645166i −0.00480942 + 0.0334503i
\(373\) −1.04172 10.9094i −0.0539383 0.564867i −0.981535 0.191284i \(-0.938735\pi\)
0.927596 0.373584i \(-0.121871\pi\)
\(374\) 0.813515 2.03206i 0.0420658 0.105075i
\(375\) −16.3969 17.1966i −0.846731 0.888026i
\(376\) −19.2345 + 37.3096i −0.991941 + 1.92410i
\(377\) −0.208657 + 0.0952907i −0.0107464 + 0.00490772i
\(378\) −1.03874 + 2.80270i −0.0534269 + 0.144155i
\(379\) 20.3592 + 17.6414i 1.04578 + 0.906177i 0.995706 0.0925688i \(-0.0295078\pi\)
0.0500772 + 0.998745i \(0.484053\pi\)
\(380\) 0.325284 + 0.0626934i 0.0166867 + 0.00321610i
\(381\) −12.0812 2.93086i −0.618938 0.150153i
\(382\) −2.40399 + 25.1757i −0.122999 + 1.28810i
\(383\) −1.88655 0.972586i −0.0963984 0.0496968i 0.409353 0.912376i \(-0.365754\pi\)
−0.505751 + 0.862679i \(0.668785\pi\)
\(384\) −0.504063 + 1.71668i −0.0257229 + 0.0876040i
\(385\) −5.52963 + 3.38623i −0.281816 + 0.172578i
\(386\) −10.6667 + 23.3569i −0.542923 + 1.18884i
\(387\) −2.41386 6.02953i −0.122703 0.306498i
\(388\) −2.20743 + 1.13801i −0.112065 + 0.0577736i
\(389\) 5.61320 + 29.1241i 0.284601 + 1.47665i 0.789649 + 0.613558i \(0.210262\pi\)
−0.505049 + 0.863091i \(0.668525\pi\)
\(390\) 0.104524 + 0.181040i 0.00529276 + 0.00916733i
\(391\) −14.6896 + 3.67308i −0.742887 + 0.185756i
\(392\) 14.7991 15.6503i 0.747469 0.790459i
\(393\) −9.33073 10.7682i −0.470673 0.543186i
\(394\) 0.655680 13.7644i 0.0330327 0.693441i
\(395\) 28.4919 36.2304i 1.43358 1.82295i
\(396\) −0.361756 + 0.257605i −0.0181789 + 0.0129451i
\(397\) 9.40916 + 11.9647i 0.472232 + 0.600492i 0.962568 0.271042i \(-0.0873682\pi\)
−0.490336 + 0.871534i \(0.663126\pi\)
\(398\) −11.2222 3.29513i −0.562517 0.165170i
\(399\) 0.251486 + 0.169452i 0.0125901 + 0.00848320i
\(400\) −9.22850 20.2076i −0.461425 1.01038i
\(401\) −23.5225 + 24.6696i −1.17466 + 1.23194i −0.207367 + 0.978263i \(0.566489\pi\)
−0.967288 + 0.253680i \(0.918359\pi\)
\(402\) −2.71248 7.83719i −0.135286 0.390883i
\(403\) 0.0136485 + 0.0394349i 0.000679882 + 0.00196439i
\(404\) −9.05093 + 9.49234i −0.450300 + 0.472262i
\(405\) −1.65904 3.63279i −0.0824384 0.180515i
\(406\) 14.7623 + 1.02507i 0.732643 + 0.0508732i
\(407\) −5.04330 1.48085i −0.249987 0.0734029i
\(408\) −6.00554 7.63666i −0.297319 0.378071i
\(409\) 26.4038 18.8020i 1.30558 0.929701i 0.305833 0.952085i \(-0.401065\pi\)
0.999749 + 0.0223837i \(0.00712556\pi\)
\(410\) −8.06118 + 10.2506i −0.398113 + 0.506242i
\(411\) −0.0626252 + 1.31467i −0.00308908 + 0.0648477i
\(412\) −7.43196 8.57694i −0.366147 0.422556i
\(413\) −16.1308 1.89476i −0.793743 0.0932349i
\(414\) −5.13234 1.73606i −0.252241 0.0853227i
\(415\) 24.1320 + 41.7979i 1.18459 + 2.05178i
\(416\) −0.0338649 0.175708i −0.00166036 0.00861479i
\(417\) 1.48688 0.766539i 0.0728127 0.0375376i
\(418\) −0.0295323 0.0737682i −0.00144447 0.00360812i
\(419\) 7.31135 16.0096i 0.357183 0.782121i −0.642689 0.766127i \(-0.722181\pi\)
0.999872 0.0159943i \(-0.00509136\pi\)
\(420\) 0.197826 + 7.64431i 0.00965292 + 0.373004i
\(421\) 7.44134 25.3429i 0.362669 1.23514i −0.552993 0.833186i \(-0.686514\pi\)
0.915662 0.401950i \(-0.131667\pi\)
\(422\) 7.43193 + 3.83143i 0.361781 + 0.186511i
\(423\) 1.29671 13.5798i 0.0630483 0.660272i
\(424\) −26.7197 6.48214i −1.29762 0.314800i
\(425\) 33.9464 + 6.54264i 1.64664 + 0.317365i
\(426\) 2.75088 + 2.38365i 0.133281 + 0.115488i
\(427\) −10.0136 3.71124i −0.484590 0.179599i
\(428\) −3.19072 + 1.45715i −0.154229 + 0.0704340i
\(429\) −0.0130286 + 0.0252720i −0.000629027 + 0.00122014i
\(430\) 20.2215 + 21.2077i 0.975167 + 1.02273i
\(431\) 9.49371 23.7141i 0.457296 1.14227i −0.503248 0.864142i \(-0.667862\pi\)
0.960544 0.278128i \(-0.0897140\pi\)
\(432\) −0.192855 2.01967i −0.00927873 0.0971712i
\(433\) 0.953042 6.62855i 0.0458003 0.318548i −0.954023 0.299734i \(-0.903102\pi\)
0.999823 0.0188137i \(-0.00598893\pi\)
\(434\) 0.440915 2.65568i 0.0211646 0.127477i
\(435\) −14.9426 + 12.9479i −0.716445 + 0.620803i
\(436\) −0.0397582 + 0.0229544i −0.00190407 + 0.00109932i
\(437\) −0.293927 + 0.464499i −0.0140604 + 0.0222200i
\(438\) −0.164723 + 0.285309i −0.00787078 + 0.0136326i
\(439\) 22.6072 + 7.82443i 1.07898 + 0.373440i 0.808023 0.589151i \(-0.200538\pi\)
0.270960 + 0.962591i \(0.412659\pi\)
\(440\) 4.07703 6.34398i 0.194365 0.302437i
\(441\) −2.57467 + 6.50931i −0.122603 + 0.309967i
\(442\) −0.150332 0.0686543i −0.00715056 0.00326555i
\(443\) −25.8768 + 20.3497i −1.22944 + 0.966845i −0.999979 0.00647221i \(-0.997940\pi\)
−0.229464 + 0.973317i \(0.573697\pi\)
\(444\) −4.48629 + 4.27767i −0.212910 + 0.203009i
\(445\) 2.79474 + 58.6689i 0.132484 + 2.78117i
\(446\) −11.3881 8.10940i −0.539240 0.383991i
\(447\) 5.69636 1.67260i 0.269428 0.0791113i
\(448\) −6.73975 + 21.2355i −0.318423 + 1.00328i
\(449\) 21.8865 25.2584i 1.03289 1.19202i 0.0517585 0.998660i \(-0.483517\pi\)
0.981129 0.193356i \(-0.0619372\pi\)
\(450\) 8.95268 + 8.53637i 0.422034 + 0.402408i
\(451\) −1.76564 0.168598i −0.0831405 0.00793896i
\(452\) 5.06505 0.241278i 0.238240 0.0113488i
\(453\) −3.52627 + 0.855463i −0.165678 + 0.0401932i
\(454\) −2.91143 20.2494i −0.136640 0.950352i
\(455\) 0.235518 + 0.429200i 0.0110412 + 0.0201212i
\(456\) −0.349093 0.0501920i −0.0163478 0.00235046i
\(457\) 24.4241 + 1.16346i 1.14251 + 0.0544246i 0.610289 0.792179i \(-0.291054\pi\)
0.532224 + 0.846604i \(0.321357\pi\)
\(458\) 6.01197 1.15871i 0.280921 0.0541430i
\(459\) 2.73430 + 1.57865i 0.127626 + 0.0736851i
\(460\) −13.8404 + 0.756752i −0.645314 + 0.0352837i
\(461\) 11.7671i 0.548048i −0.961723 0.274024i \(-0.911645\pi\)
0.961723 0.274024i \(-0.0883547\pi\)
\(462\) 1.51687 1.03124i 0.0705710 0.0479775i
\(463\) −5.90873 3.79731i −0.274602 0.176476i 0.396090 0.918211i \(-0.370367\pi\)
−0.670693 + 0.741735i \(0.734003\pi\)
\(464\) −9.32493 + 3.73314i −0.432899 + 0.173307i
\(465\) 2.08641 + 2.92996i 0.0967551 + 0.135873i
\(466\) 4.76240 + 1.90658i 0.220614 + 0.0883205i
\(467\) −1.23792 5.10276i −0.0572839 0.236128i 0.935971 0.352076i \(-0.114524\pi\)
−0.993255 + 0.115949i \(0.963009\pi\)
\(468\) 0.0181285 + 0.0282085i 0.000837990 + 0.00130394i
\(469\) −5.95217 18.4878i −0.274846 0.853686i
\(470\) 17.3401 + 59.0550i 0.799840 + 2.72401i
\(471\) −1.77030 + 9.18520i −0.0815712 + 0.423232i
\(472\) 17.8505 6.17810i 0.821634 0.284370i
\(473\) −0.939629 + 3.87320i −0.0432042 + 0.178090i
\(474\) −7.56298 + 10.6207i −0.347379 + 0.487826i
\(475\) 1.05578 0.678509i 0.0484425 0.0311321i
\(476\) −3.63290 4.83207i −0.166514 0.221477i
\(477\) 8.84446 1.27164i 0.404960 0.0582244i
\(478\) −8.40332 + 0.802420i −0.384359 + 0.0367018i
\(479\) −31.2983 24.6132i −1.43005 1.12461i −0.971806 0.235783i \(-0.924234\pi\)
−0.458249 0.888824i \(-0.651523\pi\)
\(480\) −7.06762 13.7093i −0.322591 0.625740i
\(481\) −0.129802 + 0.375037i −0.00591845 + 0.0171002i
\(482\) 23.6694 1.07811
\(483\) −11.9284 4.32589i −0.542761 0.196835i
\(484\) −7.68819 −0.349463
\(485\) −4.48248 + 12.9513i −0.203539 + 0.588087i
\(486\) 0.517674 + 1.00415i 0.0234822 + 0.0455491i
\(487\) −10.5015 8.25847i −0.475868 0.374227i 0.351225 0.936291i \(-0.385765\pi\)
−0.827094 + 0.562064i \(0.810007\pi\)
\(488\) 12.3638 1.18060i 0.559685 0.0534434i
\(489\) −7.50096 + 1.07848i −0.339205 + 0.0487703i
\(490\) −0.130951 31.5824i −0.00591576 1.42675i
\(491\) −11.8119 + 7.59106i −0.533065 + 0.342580i −0.779321 0.626625i \(-0.784436\pi\)
0.246256 + 0.969205i \(0.420800\pi\)
\(492\) −1.21333 + 1.70388i −0.0547010 + 0.0768168i
\(493\) 3.68518 15.1905i 0.165972 0.684147i
\(494\) −0.00566957 + 0.00196226i −0.000255086 + 8.82862e-5i
\(495\) −0.463808 + 2.40646i −0.0208466 + 0.108162i
\(496\) 0.514805 + 1.75326i 0.0231154 + 0.0787238i
\(497\) 6.31956 + 5.72097i 0.283471 + 0.256621i
\(498\) −7.38132 11.4856i −0.330765 0.514680i
\(499\) −2.80196 11.5498i −0.125433 0.517041i −0.999511 0.0312566i \(-0.990049\pi\)
0.874079 0.485785i \(-0.161466\pi\)
\(500\) 15.9640 + 6.39103i 0.713932 + 0.285815i
\(501\) −2.09914 2.94782i −0.0937825 0.131699i
\(502\) 3.20175 1.28179i 0.142901 0.0572089i
\(503\) 22.7929 + 14.6481i 1.01629 + 0.653127i 0.939013 0.343883i \(-0.111742\pi\)
0.0772730 + 0.997010i \(0.475379\pi\)
\(504\) −0.597615 8.11917i −0.0266199 0.361656i
\(505\) 72.3785i 3.22080i
\(506\) 1.94754 + 2.69469i 0.0865787 + 0.119793i
\(507\) −11.2565 6.49893i −0.499917 0.288627i
\(508\) 8.83419 1.70265i 0.391954 0.0755429i
\(509\) 15.5308 + 0.739824i 0.688391 + 0.0327921i 0.388863 0.921295i \(-0.372868\pi\)
0.299528 + 0.954088i \(0.403171\pi\)
\(510\) −14.1002 2.02730i −0.624366 0.0897702i
\(511\) −0.400195 + 0.659634i −0.0177036 + 0.0291805i
\(512\) −2.89203 20.1145i −0.127811 0.888943i
\(513\) 0.111386 0.0270220i 0.00491781 0.00119305i
\(514\) −30.1921 + 1.43822i −1.33171 + 0.0634374i
\(515\) −62.3446 5.95319i −2.74723 0.262329i
\(516\) 3.40175 + 3.24356i 0.149754 + 0.142790i
\(517\) −5.48198 + 6.32654i −0.241097 + 0.278241i
\(518\) 18.9085 17.2607i 0.830792 0.758391i
\(519\) 19.6810 5.77886i 0.863900 0.253664i
\(520\) −0.463805 0.330274i −0.0203392 0.0144835i
\(521\) 0.965263 + 20.2634i 0.0422889 + 0.887754i 0.915968 + 0.401251i \(0.131425\pi\)
−0.873679 + 0.486503i \(0.838272\pi\)
\(522\) 4.04790 3.85967i 0.177172 0.168933i
\(523\) 11.5408 9.07576i 0.504643 0.396855i −0.333125 0.942883i \(-0.608103\pi\)
0.837767 + 0.546027i \(0.183861\pi\)
\(524\) 9.37977 + 4.28360i 0.409757 + 0.187130i
\(525\) 20.5272 + 20.4423i 0.895882 + 0.892175i
\(526\) 14.3584 22.3421i 0.626055 0.974160i
\(527\) −2.68722 0.930056i −0.117057 0.0405139i
\(528\) −0.622508 + 1.07822i −0.0270912 + 0.0469233i
\(529\) 7.21656 21.8385i 0.313763 0.949501i
\(530\) −34.9137 + 20.1574i −1.51655 + 0.875583i
\(531\) −4.63937 + 4.02004i −0.201332 + 0.174455i
\(532\) −0.216497 0.0359445i −0.00938635 0.00155839i
\(533\) −0.0190586 + 0.132556i −0.000825520 + 0.00574162i
\(534\) −1.57936 16.5398i −0.0683456 0.715748i
\(535\) −7.19426 + 17.9704i −0.311035 + 0.776928i
\(536\) 15.5879 + 16.3481i 0.673293 + 0.706129i
\(537\) −12.0546 + 23.3826i −0.520194 + 1.00903i
\(538\) −16.2768 + 7.43335i −0.701741 + 0.320475i
\(539\) 3.60402 2.33733i 0.155236 0.100676i
\(540\) 2.18430 + 1.89271i 0.0939973 + 0.0814491i
\(541\) −15.3356 2.95570i −0.659331 0.127076i −0.151399 0.988473i \(-0.548378\pi\)
−0.507932 + 0.861397i \(0.669590\pi\)
\(542\) −30.1320 7.30994i −1.29428 0.313989i
\(543\) 1.11910 11.7198i 0.0480254 0.502945i
\(544\) 10.8382 + 5.58746i 0.464682 + 0.239560i
\(545\) −0.0713754 + 0.243082i −0.00305739 + 0.0104125i
\(546\) −0.0723246 0.118104i −0.00309521 0.00505440i
\(547\) −10.9530 + 23.9837i −0.468316 + 1.02547i 0.517196 + 0.855867i \(0.326976\pi\)
−0.985512 + 0.169603i \(0.945751\pi\)
\(548\) −0.354010 0.884274i −0.0151226 0.0377743i
\(549\) −3.58765 + 1.84956i −0.153117 + 0.0789374i
\(550\) −1.43661 7.45382i −0.0612571 0.317832i
\(551\) −0.283722 0.491421i −0.0120870 0.0209353i
\(552\) 14.6800 1.50587i 0.624823 0.0640943i
\(553\) −18.2481 + 24.4823i −0.775989 + 1.04109i
\(554\) −17.3881 20.0669i −0.738748 0.852560i
\(555\) −1.62767 + 34.1690i −0.0690906 + 1.45039i
\(556\) −0.748365 + 0.951624i −0.0317378 + 0.0403579i
\(557\) 4.36851 3.11081i 0.185100 0.131809i −0.483751 0.875206i \(-0.660726\pi\)
0.668851 + 0.743397i \(0.266787\pi\)
\(558\) −0.628972 0.799803i −0.0266265 0.0338583i
\(559\) 0.288735 + 0.0847801i 0.0122122 + 0.00358582i
\(560\) 9.40696 + 19.2633i 0.397517 + 0.814025i
\(561\) −0.804865 1.76241i −0.0339814 0.0744089i
\(562\) −0.311219 + 0.326397i −0.0131280 + 0.0137682i
\(563\) 4.76189 + 13.7586i 0.200690 + 0.579855i 0.999772 0.0213672i \(-0.00680190\pi\)
−0.799082 + 0.601222i \(0.794681\pi\)
\(564\) 3.22895 + 9.32944i 0.135963 + 0.392840i
\(565\) 19.3103 20.2521i 0.812392 0.852012i
\(566\) 1.90201 + 4.16483i 0.0799476 + 0.175061i
\(567\) 1.16098 + 2.37742i 0.0487565 + 0.0998423i
\(568\) −9.51251 2.79312i −0.399136 0.117197i
\(569\) 5.19356 + 6.60414i 0.217725 + 0.276860i 0.882630 0.470068i \(-0.155771\pi\)
−0.664905 + 0.746928i \(0.731528\pi\)
\(570\) −0.421242 + 0.299965i −0.0176439 + 0.0125641i
\(571\) 0.315772 0.401536i 0.0132146 0.0168038i −0.779401 0.626526i \(-0.784476\pi\)
0.792616 + 0.609722i \(0.208719\pi\)
\(572\) 0.000979083 0.0205535i 4.09375e−5 0.000859384i
\(573\) 14.6597 + 16.9182i 0.612418 + 0.706769i
\(574\) 5.16292 6.92674i 0.215496 0.289117i
\(575\) −35.9699 + 38.2586i −1.50005 + 1.59549i
\(576\) 4.21040 + 7.29262i 0.175433 + 0.303859i
\(577\) −3.81545 19.7965i −0.158839 0.824137i −0.970702 0.240288i \(-0.922758\pi\)
0.811862 0.583849i \(-0.198454\pi\)
\(578\) −7.06060 + 3.63999i −0.293682 + 0.151404i
\(579\) 8.44739 + 21.1006i 0.351061 + 0.876909i
\(580\) 5.94417 13.0159i 0.246818 0.540457i
\(581\) −16.6980 27.2675i −0.692752 1.13125i
\(582\) 1.09224 3.71983i 0.0452748 0.154192i
\(583\) −4.87371 2.51257i −0.201849 0.104060i
\(584\) 0.0852951 0.893251i 0.00352954 0.0369630i
\(585\) 0.179825 + 0.0436251i 0.00743485 + 0.00180368i
\(586\) 12.7497 + 2.45731i 0.526686 + 0.101510i
\(587\) −22.4152 19.4229i −0.925174 0.801668i 0.0552691 0.998471i \(-0.482398\pi\)
−0.980443 + 0.196804i \(0.936944\pi\)
\(588\) −0.262025 5.05913i −0.0108057 0.208635i
\(589\) −0.0939008 + 0.0428830i −0.00386911 + 0.00176697i
\(590\) 12.6915 24.6181i 0.522500 1.01351i
\(591\) −8.41729 8.82780i −0.346241 0.363127i
\(592\) −6.45875 + 16.1332i −0.265453 + 0.663069i
\(593\) 1.71637 + 17.9746i 0.0704828 + 0.738129i 0.959771 + 0.280783i \(0.0905940\pi\)
−0.889289 + 0.457347i \(0.848800\pi\)
\(594\) 0.0986622 0.686211i 0.00404816 0.0281556i
\(595\) −32.9106 5.46405i −1.34920 0.224004i
\(596\) −3.24708 + 2.81361i −0.133006 + 0.115250i
\(597\) −8.96581 + 5.17642i −0.366946 + 0.211857i
\(598\) 0.210225 0.137199i 0.00859675 0.00561049i
\(599\) −8.61659 + 14.9244i −0.352064 + 0.609793i −0.986611 0.163091i \(-0.947853\pi\)
0.634547 + 0.772884i \(0.281187\pi\)
\(600\) −31.8395 11.0198i −1.29984 0.449879i
\(601\) 9.30228 14.4746i 0.379448 0.590433i −0.598029 0.801474i \(-0.704049\pi\)
0.977477 + 0.211042i \(0.0676856\pi\)
\(602\) −13.7554 13.6985i −0.560627 0.558307i
\(603\) −6.67756 3.04954i −0.271931 0.124187i
\(604\) 2.06417 1.62328i 0.0839897 0.0660502i
\(605\) −30.7057 + 29.2778i −1.24836 + 1.19031i
\(606\) −0.974211 20.4512i −0.0395746 0.830773i
\(607\) 5.70534 + 4.06275i 0.231572 + 0.164902i 0.689953 0.723854i \(-0.257631\pi\)
−0.458381 + 0.888756i \(0.651570\pi\)
\(608\) 0.424726 0.124711i 0.0172249 0.00505769i
\(609\) 9.67401 8.83096i 0.392011 0.357849i
\(610\) 11.9258 13.7631i 0.482863 0.557253i
\(611\) 0.457442 + 0.436170i 0.0185061 + 0.0176456i
\(612\) −2.27460 0.217198i −0.0919452 0.00877970i
\(613\) 3.20416 0.152633i 0.129415 0.00616479i 0.0172255 0.999852i \(-0.494517\pi\)
0.112189 + 0.993687i \(0.464214\pi\)
\(614\) −23.4896 + 5.69852i −0.947964 + 0.229974i
\(615\) 1.64275 + 11.4256i 0.0662423 + 0.460725i
\(616\) −2.59133 + 4.27124i −0.104408 + 0.172093i
\(617\) −13.9555 2.00650i −0.561827 0.0807785i −0.144450 0.989512i \(-0.546141\pi\)
−0.417377 + 0.908734i \(0.637050\pi\)
\(618\) 17.6962 + 0.842972i 0.711844 + 0.0339093i
\(619\) 36.9657 7.12455i 1.48578 0.286360i 0.619132 0.785287i \(-0.287484\pi\)
0.866644 + 0.498927i \(0.166272\pi\)
\(620\) −2.25434 1.30154i −0.0905365 0.0522713i
\(621\) −4.24717 + 2.22746i −0.170433 + 0.0893848i
\(622\) 32.2545i 1.29329i
\(623\) −2.85635 38.8062i −0.114437 1.55474i
\(624\) 0.0790808 + 0.0508221i 0.00316576 + 0.00203451i
\(625\) 37.2700 14.9206i 1.49080 0.596826i
\(626\) 15.5427 + 21.8267i 0.621212 + 0.872370i
\(627\) −0.0652970 0.0261410i −0.00260771 0.00104397i
\(628\) −1.59601 6.57885i −0.0636878 0.262525i
\(629\) −14.6209 22.7506i −0.582973 0.907124i
\(630\) −8.84952 8.01131i −0.352574 0.319178i
\(631\) 12.5107 + 42.6075i 0.498042 + 1.69618i 0.697768 + 0.716324i \(0.254177\pi\)
−0.199725 + 0.979852i \(0.564005\pi\)
\(632\) 6.72080 34.8708i 0.267339 1.38709i
\(633\) 6.99417 2.42071i 0.277993 0.0962145i
\(634\) 0.915418 3.77341i 0.0363559 0.149861i
\(635\) 28.7987 40.4421i 1.14284 1.60490i
\(636\) −5.44002 + 3.49609i −0.215711 + 0.138629i
\(637\) −0.163330 0.280206i −0.00647136 0.0111022i
\(638\) −3.39729 + 0.488456i −0.134500 + 0.0193382i
\(639\) 3.20735 0.306265i 0.126881 0.0121157i
\(640\) −5.61661 4.41695i −0.222016 0.174595i
\(641\) 7.92467 + 15.3717i 0.313005 + 0.607146i 0.991890 0.127099i \(-0.0405666\pi\)
−0.678885 + 0.734245i \(0.737536\pi\)
\(642\) 1.79092 5.17453i 0.0706821 0.204222i
\(643\) −9.60052 −0.378608 −0.189304 0.981919i \(-0.560623\pi\)
−0.189304 + 0.981919i \(0.560623\pi\)
\(644\) 9.15301 0.738372i 0.360679 0.0290959i
\(645\) 25.9381 1.02131
\(646\) 0.133715 0.386343i 0.00526093 0.0152005i
\(647\) −6.90744 13.3986i −0.271559 0.526752i 0.713138 0.701023i \(-0.247273\pi\)
−0.984698 + 0.174272i \(0.944243\pi\)
\(648\) −2.41873 1.90211i −0.0950167 0.0747220i
\(649\) 3.75003 0.358085i 0.147202 0.0140560i
\(650\) −0.567315 + 0.0815676i −0.0222519 + 0.00319935i
\(651\) −1.43196 1.90464i −0.0561231 0.0746486i
\(652\) 4.61367 2.96503i 0.180685 0.116119i
\(653\) 23.5214 33.0311i 0.920462 1.29261i −0.0355765 0.999367i \(-0.511327\pi\)
0.956039 0.293241i \(-0.0947339\pi\)
\(654\) 0.0168959 0.0696458i 0.000660681 0.00272336i
\(655\) 53.7742 18.6114i 2.10113 0.727209i
\(656\) −1.10978 + 5.75809i −0.0433296 + 0.224815i
\(657\) 0.0821572 + 0.279802i 0.00320526 + 0.0109161i
\(658\) −12.4958 38.8126i −0.487137 1.51307i
\(659\) −23.7478 36.9522i −0.925081 1.43945i −0.898087 0.439819i \(-0.855043\pi\)
−0.0269944 0.999636i \(-0.508594\pi\)
\(660\) −0.418145 1.72362i −0.0162763 0.0670917i
\(661\) −6.73992 2.69826i −0.262152 0.104950i 0.236863 0.971543i \(-0.423881\pi\)
−0.499016 + 0.866593i \(0.666305\pi\)
\(662\) −2.47026 3.46900i −0.0960095 0.134826i
\(663\) −0.135809 + 0.0543699i −0.00527440 + 0.00211155i
\(664\) 31.2832 + 20.1045i 1.21402 + 0.780206i
\(665\) −1.00154 + 0.680897i −0.0388382 + 0.0264041i
\(666\) 9.67665i 0.374963i
\(667\) 16.5049 + 17.0683i 0.639073 + 0.660885i
\(668\) 2.26809 + 1.30948i 0.0877550 + 0.0506654i
\(669\) −12.1513 + 2.34197i −0.469796 + 0.0905457i
\(670\) 33.0834 + 1.57596i 1.27812 + 0.0608846i
\(671\) 2.45171 + 0.352503i 0.0946474 + 0.0136082i
\(672\) 4.91556 + 8.95798i 0.189622 + 0.345561i
\(673\) 1.20865 + 8.40638i 0.0465902 + 0.324042i 0.999766 + 0.0216257i \(0.00688422\pi\)
−0.953176 + 0.302416i \(0.902207\pi\)
\(674\) −23.7591 + 5.76389i −0.915165 + 0.222017i
\(675\) 10.9372 0.521003i 0.420973 0.0200534i
\(676\) 9.36397 + 0.894151i 0.360153 + 0.0343904i
\(677\) −3.10883 2.96427i −0.119482 0.113926i 0.627983 0.778227i \(-0.283881\pi\)
−0.747465 + 0.664301i \(0.768729\pi\)
\(678\) −5.18372 + 5.98233i −0.199080 + 0.229750i
\(679\) 2.74660 8.65394i 0.105405 0.332108i
\(680\) 37.2279 10.9311i 1.42762 0.419188i
\(681\) −14.7507 10.5039i −0.565246 0.402510i
\(682\) 0.0297096 + 0.623682i 0.00113764 + 0.0238820i
\(683\) −1.14555 + 1.09228i −0.0438331 + 0.0417948i −0.711679 0.702505i \(-0.752065\pi\)
0.667846 + 0.744299i \(0.267216\pi\)
\(684\) −0.0652019 + 0.0512753i −0.00249306 + 0.00196056i
\(685\) −4.78132 2.18356i −0.182685 0.0834294i
\(686\) 0.628000 + 20.9135i 0.0239772 + 0.798483i
\(687\) 2.93001 4.55919i 0.111787 0.173944i
\(688\) 12.4522 + 4.30975i 0.474736 + 0.164308i
\(689\) −0.207004 + 0.358541i −0.00788621 + 0.0136593i
\(690\) 14.0546 16.4519i 0.535050 0.626314i
\(691\) −30.7780 + 17.7697i −1.17085 + 0.675991i −0.953880 0.300187i \(-0.902951\pi\)
−0.216971 + 0.976178i \(0.569618\pi\)
\(692\) −11.2187 + 9.72106i −0.426471 + 0.369539i
\(693\) 0.265918 1.60165i 0.0101014 0.0608418i
\(694\) −2.29948 + 15.9932i −0.0872869 + 0.607094i
\(695\) 0.635051 + 6.65056i 0.0240889 + 0.252270i
\(696\) −5.66186 + 14.1426i −0.214612 + 0.536075i
\(697\) −6.29742 6.60454i −0.238532 0.250165i
\(698\) −13.4897 + 26.1664i −0.510594 + 0.990414i
\(699\) 4.13043 1.88630i 0.156227 0.0713466i
\(700\) −19.6588 7.28598i −0.743034 0.275384i
\(701\) 24.1623 + 20.9368i 0.912598 + 0.790770i 0.978327 0.207067i \(-0.0663919\pi\)
−0.0657292 + 0.997838i \(0.520937\pi\)
\(702\) −0.0513984 0.00990623i −0.00193991 0.000373886i
\(703\) −0.954069 0.231455i −0.0359834 0.00872948i
\(704\) 0.491199 5.14407i 0.0185128 0.193874i
\(705\) 48.4240 + 24.9643i 1.82375 + 0.940209i
\(706\) 1.08760 3.70402i 0.0409324 0.139403i
\(707\) −1.24046 47.9334i −0.0466524 1.80272i
\(708\) 1.84554 4.04117i 0.0693596 0.151876i
\(709\) −6.93625 17.3259i −0.260497 0.650689i 0.739245 0.673437i \(-0.235183\pi\)
−0.999741 + 0.0227480i \(0.992758\pi\)
\(710\) −12.9208 + 6.66114i −0.484910 + 0.249988i
\(711\) 2.18416 + 11.3325i 0.0819125 + 0.425002i
\(712\) 22.6272 + 39.1915i 0.847991 + 1.46876i
\(713\) 3.37641 2.69382i 0.126447 0.100885i
\(714\) 9.37272 + 1.10094i 0.350765 + 0.0412017i
\(715\) −0.0743604 0.0858165i −0.00278092 0.00320935i
\(716\) 0.905886 19.0169i 0.0338545 0.710694i
\(717\) −4.61898 + 5.87351i −0.172499 + 0.219350i
\(718\) 22.0279 15.6860i 0.822073 0.585396i
\(719\) −26.2077 33.3258i −0.977383 1.24284i −0.970059 0.242870i \(-0.921911\pi\)
−0.00732433 0.999973i \(-0.502331\pi\)
\(720\) 7.77441 + 2.28277i 0.289735 + 0.0850739i
\(721\) 41.3904 + 2.87407i 1.54146 + 0.107036i
\(722\) 8.91069 + 19.5117i 0.331622 + 0.726150i
\(723\) 14.4581 15.1632i 0.537701 0.563925i
\(724\) 2.78669 + 8.05161i 0.103566 + 0.299236i
\(725\) −17.7301 51.2277i −0.658479 1.90255i
\(726\) 8.28208 8.68600i 0.307377 0.322368i
\(727\) 8.45869 + 18.5220i 0.313716 + 0.686941i 0.999151 0.0411919i \(-0.0131155\pi\)
−0.685436 + 0.728133i \(0.740388\pi\)
\(728\) 0.312820 + 0.210779i 0.0115939 + 0.00781197i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −0.813317 1.03422i −0.0301022 0.0382781i
\(731\) −16.7036 + 11.8946i −0.617807 + 0.439938i
\(732\) 1.80571 2.29615i 0.0667410 0.0848681i
\(733\) −0.00165928 + 0.0348326i −6.12870e−5 + 0.00128657i −0.998898 0.0469386i \(-0.985053\pi\)
0.998836 + 0.0482252i \(0.0153565\pi\)
\(734\) −21.9648 25.3487i −0.810735 0.935638i
\(735\) −20.3124 19.2077i −0.749235 0.708487i
\(736\) −15.9749 + 9.37329i −0.588842 + 0.345504i
\(737\) 2.25240 + 3.90128i 0.0829684 + 0.143705i
\(738\) −0.617963 3.20630i −0.0227475 0.118025i
\(739\) 5.11971 2.63940i 0.188332 0.0970917i −0.361482 0.932379i \(-0.617729\pi\)
0.549814 + 0.835287i \(0.314699\pi\)
\(740\) −9.20094 22.9828i −0.338233 0.844866i
\(741\) −0.00220610 + 0.00483068i −8.10429e−5 + 0.000177459i
\(742\) 22.7765 13.9478i 0.836151 0.512041i
\(743\) −0.159725 + 0.543973i −0.00585974 + 0.0199565i −0.962371 0.271739i \(-0.912401\pi\)
0.956511 + 0.291696i \(0.0942194\pi\)
\(744\) 2.46327 + 1.26990i 0.0903078 + 0.0465569i
\(745\) −2.25377 + 23.6026i −0.0825718 + 0.864731i
\(746\) −12.0318 2.91888i −0.440515 0.106868i
\(747\) −11.8667 2.28711i −0.434179 0.0836811i
\(748\) 1.05969 + 0.918225i 0.0387460 + 0.0335736i
\(749\) 4.45649 12.0244i 0.162837 0.439361i
\(750\) −24.4177 + 11.1512i −0.891607 + 0.407183i
\(751\) 9.92862 19.2588i 0.362301 0.702765i −0.635280 0.772282i \(-0.719115\pi\)
0.997581 + 0.0695166i \(0.0221457\pi\)
\(752\) 19.0991 + 20.0306i 0.696473 + 0.730440i
\(753\) 1.13459 2.83407i 0.0413468 0.103279i
\(754\) 0.0246334 + 0.257972i 0.000897095 + 0.00939480i
\(755\) 2.06233 14.3438i 0.0750559 0.522025i
\(756\) −1.47901 1.21603i −0.0537912 0.0442265i
\(757\) 31.3505 27.1654i 1.13946 0.987343i 0.139459 0.990228i \(-0.455464\pi\)
0.999996 + 0.00288443i \(0.000918143\pi\)
\(758\) 26.3567 15.2170i 0.957317 0.552707i
\(759\) 2.91590 + 0.398364i 0.105841 + 0.0144597i
\(760\) 0.704254 1.21980i 0.0255460 0.0442469i
\(761\) 20.1163 + 6.96231i 0.729215 + 0.252384i 0.666351 0.745638i \(-0.267855\pi\)
0.0628640 + 0.998022i \(0.479977\pi\)
\(762\) −7.59298 + 11.8149i −0.275065 + 0.428009i
\(763\) 0.0431030 0.162207i 0.00156043 0.00587229i
\(764\) −14.7368 6.73005i −0.533157 0.243485i
\(765\) −9.91158 + 7.79455i −0.358354 + 0.281813i
\(766\) −1.73541 + 1.65471i −0.0627030 + 0.0597872i
\(767\) −0.0135337 0.284107i −0.000488674 0.0102585i
\(768\) −12.0723 8.59663i −0.435621 0.310204i
\(769\) 27.4633 8.06394i 0.990351 0.290793i 0.253860 0.967241i \(-0.418300\pi\)
0.736491 + 0.676448i \(0.236482\pi\)
\(770\) 1.57194 + 7.15463i 0.0566487 + 0.257835i