Properties

Label 76.2.k.a.15.8
Level $76$
Weight $2$
Character 76.15
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 15.8
Character \(\chi\) \(=\) 76.15
Dual form 76.2.k.a.71.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41400 - 0.0247662i) q^{2} +(-0.361434 - 2.04979i) q^{3} +(1.99877 - 0.0700386i) q^{4} +(-2.99965 + 2.51700i) q^{5} +(-0.561832 - 2.88945i) q^{6} +(-0.0108543 - 0.00626673i) q^{7} +(2.82452 - 0.148536i) q^{8} +(-1.25194 + 0.455671i) q^{9} +O(q^{10})\) \(q+(1.41400 - 0.0247662i) q^{2} +(-0.361434 - 2.04979i) q^{3} +(1.99877 - 0.0700386i) q^{4} +(-2.99965 + 2.51700i) q^{5} +(-0.561832 - 2.88945i) q^{6} +(-0.0108543 - 0.00626673i) q^{7} +(2.82452 - 0.148536i) q^{8} +(-1.25194 + 0.455671i) q^{9} +(-4.17916 + 3.63332i) q^{10} +(-3.15988 + 1.82436i) q^{11} +(-0.865990 - 4.07176i) q^{12} +(3.04424 + 0.536781i) q^{13} +(-0.0155031 - 0.00859231i) q^{14} +(6.24352 + 5.23893i) q^{15} +(3.99019 - 0.279983i) q^{16} +(-2.82933 - 1.02979i) q^{17} +(-1.75896 + 0.675323i) q^{18} +(-3.96096 - 1.81957i) q^{19} +(-5.81933 + 5.24101i) q^{20} +(-0.00892239 + 0.0245141i) q^{21} +(-4.42288 + 2.65790i) q^{22} +(2.50024 - 2.97967i) q^{23} +(-1.32535 - 5.73601i) q^{24} +(1.79434 - 10.1762i) q^{25} +(4.31784 + 0.683613i) q^{26} +(-1.73560 - 3.00614i) q^{27} +(-0.0221342 - 0.0117655i) q^{28} +(-0.126343 - 0.347124i) q^{29} +(8.95806 + 7.25320i) q^{30} +(-1.29454 + 2.24221i) q^{31} +(5.63518 - 0.494716i) q^{32} +(4.88165 + 5.81773i) q^{33} +(-4.02617 - 1.38605i) q^{34} +(0.0483324 - 0.00852231i) q^{35} +(-2.47044 + 0.998467i) q^{36} +2.87327i q^{37} +(-5.64584 - 2.47477i) q^{38} -6.43407i q^{39} +(-8.09871 + 7.55489i) q^{40} +(7.88423 - 1.39020i) q^{41} +(-0.0120091 + 0.0348838i) q^{42} +(5.11775 + 6.09909i) q^{43} +(-6.18812 + 3.86780i) q^{44} +(2.60847 - 4.51800i) q^{45} +(3.46154 - 4.27517i) q^{46} +(2.68591 + 7.37948i) q^{47} +(-2.01610 - 8.07787i) q^{48} +(-3.49992 - 6.06204i) q^{49} +(2.28517 - 14.4336i) q^{50} +(-1.08825 + 6.17175i) q^{51} +(6.12234 + 0.859690i) q^{52} +(-0.993871 + 1.18445i) q^{53} +(-2.52858 - 4.20769i) q^{54} +(4.88662 - 13.4259i) q^{55} +(-0.0315890 - 0.0160883i) q^{56} +(-2.29812 + 8.77680i) q^{57} +(-0.187245 - 0.487703i) q^{58} +(-3.93600 - 1.43259i) q^{59} +(12.8463 + 10.0341i) q^{60} +(-2.45324 - 2.05851i) q^{61} +(-1.77494 + 3.20254i) q^{62} +(0.0164445 + 0.00289961i) q^{63} +(7.95587 - 0.839089i) q^{64} +(-10.4827 + 6.05220i) q^{65} +(7.04672 + 8.10535i) q^{66} +(8.76065 - 3.18861i) q^{67} +(-5.72731 - 1.86016i) q^{68} +(-7.01139 - 4.04803i) q^{69} +(0.0681308 - 0.0132475i) q^{70} +(-9.25916 + 7.76936i) q^{71} +(-3.46846 + 1.47301i) q^{72} +(0.801985 + 4.54828i) q^{73} +(0.0711601 + 4.06280i) q^{74} -21.5077 q^{75} +(-8.04449 - 3.35948i) q^{76} +0.0457310 q^{77} +(-0.159348 - 9.09776i) q^{78} +(0.148866 + 0.844262i) q^{79} +(-11.2644 + 10.8832i) q^{80} +(-8.59645 + 7.21328i) q^{81} +(11.1139 - 2.16101i) q^{82} +(-4.31582 - 2.49174i) q^{83} +(-0.0161169 + 0.0496230i) q^{84} +(11.0790 - 4.03242i) q^{85} +(7.38753 + 8.49735i) q^{86} +(-0.665868 + 0.384439i) q^{87} +(-8.65418 + 5.62231i) q^{88} +(4.86849 + 0.858447i) q^{89} +(3.57647 - 6.45304i) q^{90} +(-0.0296792 - 0.0249038i) q^{91} +(4.78873 - 6.13081i) q^{92} +(5.06396 + 1.84313i) q^{93} +(3.98063 + 10.3680i) q^{94} +(16.4613 - 4.51167i) q^{95} +(-3.05081 - 11.3722i) q^{96} +(-1.35020 + 3.70964i) q^{97} +(-5.09901 - 8.48503i) q^{98} +(3.12469 - 3.72386i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41400 0.0247662i 0.999847 0.0175123i
\(3\) −0.361434 2.04979i −0.208674 1.18345i −0.891553 0.452917i \(-0.850383\pi\)
0.682878 0.730532i \(-0.260728\pi\)
\(4\) 1.99877 0.0700386i 0.999387 0.0350193i
\(5\) −2.99965 + 2.51700i −1.34148 + 1.12564i −0.360241 + 0.932859i \(0.617306\pi\)
−0.981242 + 0.192779i \(0.938250\pi\)
\(6\) −0.561832 2.88945i −0.229367 1.17961i
\(7\) −0.0108543 0.00626673i −0.00410253 0.00236860i 0.497947 0.867207i \(-0.334087\pi\)
−0.502050 + 0.864839i \(0.667421\pi\)
\(8\) 2.82452 0.148536i 0.998620 0.0525155i
\(9\) −1.25194 + 0.455671i −0.417315 + 0.151890i
\(10\) −4.17916 + 3.63332i −1.32157 + 1.14896i
\(11\) −3.15988 + 1.82436i −0.952741 + 0.550065i −0.893931 0.448204i \(-0.852064\pi\)
−0.0588096 + 0.998269i \(0.518730\pi\)
\(12\) −0.865990 4.07176i −0.249990 1.17542i
\(13\) 3.04424 + 0.536781i 0.844320 + 0.148876i 0.579044 0.815296i \(-0.303426\pi\)
0.265276 + 0.964173i \(0.414537\pi\)
\(14\) −0.0155031 0.00859231i −0.00414339 0.00229639i
\(15\) 6.24352 + 5.23893i 1.61207 + 1.35269i
\(16\) 3.99019 0.279983i 0.997547 0.0699957i
\(17\) −2.82933 1.02979i −0.686213 0.249761i −0.0247002 0.999695i \(-0.507863\pi\)
−0.661513 + 0.749934i \(0.730085\pi\)
\(18\) −1.75896 + 0.675323i −0.414591 + 0.159175i
\(19\) −3.96096 1.81957i −0.908706 0.417438i
\(20\) −5.81933 + 5.24101i −1.30124 + 1.17193i
\(21\) −0.00892239 + 0.0245141i −0.00194703 + 0.00534941i
\(22\) −4.42288 + 2.65790i −0.942962 + 0.566666i
\(23\) 2.50024 2.97967i 0.521337 0.621305i −0.439559 0.898214i \(-0.644865\pi\)
0.960896 + 0.276908i \(0.0893098\pi\)
\(24\) −1.32535 5.73601i −0.270536 1.17086i
\(25\) 1.79434 10.1762i 0.358868 2.03524i
\(26\) 4.31784 + 0.683613i 0.846797 + 0.134068i
\(27\) −1.73560 3.00614i −0.334016 0.578532i
\(28\) −0.0221342 0.0117655i −0.00418297 0.00222348i
\(29\) −0.126343 0.347124i −0.0234612 0.0644592i 0.927409 0.374049i \(-0.122031\pi\)
−0.950870 + 0.309589i \(0.899808\pi\)
\(30\) 8.95806 + 7.25320i 1.63551 + 1.32425i
\(31\) −1.29454 + 2.24221i −0.232506 + 0.402713i −0.958545 0.284941i \(-0.908026\pi\)
0.726039 + 0.687654i \(0.241359\pi\)
\(32\) 5.63518 0.494716i 0.996169 0.0874543i
\(33\) 4.88165 + 5.81773i 0.849787 + 1.01274i
\(34\) −4.02617 1.38605i −0.690482 0.237706i
\(35\) 0.0483324 0.00852231i 0.00816967 0.00144053i
\(36\) −2.47044 + 0.998467i −0.411740 + 0.166411i
\(37\) 2.87327i 0.472363i 0.971709 + 0.236182i \(0.0758961\pi\)
−0.971709 + 0.236182i \(0.924104\pi\)
\(38\) −5.64584 2.47477i −0.915877 0.401460i
\(39\) 6.43407i 1.03028i
\(40\) −8.09871 + 7.55489i −1.28052 + 1.19453i
\(41\) 7.88423 1.39020i 1.23131 0.217113i 0.480122 0.877201i \(-0.340592\pi\)
0.751188 + 0.660088i \(0.229481\pi\)
\(42\) −0.0120091 + 0.0348838i −0.00185305 + 0.00538268i
\(43\) 5.11775 + 6.09909i 0.780449 + 0.930103i 0.998954 0.0457330i \(-0.0145623\pi\)
−0.218505 + 0.975836i \(0.570118\pi\)
\(44\) −6.18812 + 3.86780i −0.932894 + 0.583092i
\(45\) 2.60847 4.51800i 0.388848 0.673504i
\(46\) 3.46154 4.27517i 0.510376 0.630340i
\(47\) 2.68591 + 7.37948i 0.391780 + 1.07641i 0.966188 + 0.257838i \(0.0830102\pi\)
−0.574408 + 0.818569i \(0.694768\pi\)
\(48\) −2.01610 8.07787i −0.290999 1.16594i
\(49\) −3.49992 6.06204i −0.499989 0.866006i
\(50\) 2.28517 14.4336i 0.323171 2.04122i
\(51\) −1.08825 + 6.17175i −0.152385 + 0.864217i
\(52\) 6.12234 + 0.859690i 0.849015 + 0.119218i
\(53\) −0.993871 + 1.18445i −0.136519 + 0.162697i −0.829972 0.557805i \(-0.811644\pi\)
0.693454 + 0.720501i \(0.256088\pi\)
\(54\) −2.52858 4.20769i −0.344096 0.572594i
\(55\) 4.88662 13.4259i 0.658912 1.81034i
\(56\) −0.0315890 0.0160883i −0.00422126 0.00214988i
\(57\) −2.29812 + 8.77680i −0.304393 + 1.16252i
\(58\) −0.187245 0.487703i −0.0245865 0.0640385i
\(59\) −3.93600 1.43259i −0.512423 0.186507i 0.0728499 0.997343i \(-0.476791\pi\)
−0.585273 + 0.810836i \(0.699013\pi\)
\(60\) 12.8463 + 10.0341i 1.65845 + 1.29540i
\(61\) −2.45324 2.05851i −0.314105 0.263565i 0.472081 0.881555i \(-0.343503\pi\)
−0.786186 + 0.617990i \(0.787947\pi\)
\(62\) −1.77494 + 3.20254i −0.225418 + 0.406723i
\(63\) 0.0164445 + 0.00289961i 0.00207182 + 0.000365317i
\(64\) 7.95587 0.839089i 0.994484 0.104886i
\(65\) −10.4827 + 6.05220i −1.30022 + 0.750683i
\(66\) 7.04672 + 8.10535i 0.867392 + 0.997699i
\(67\) 8.76065 3.18861i 1.07028 0.389551i 0.254001 0.967204i \(-0.418253\pi\)
0.816283 + 0.577653i \(0.196031\pi\)
\(68\) −5.72731 1.86016i −0.694539 0.225577i
\(69\) −7.01139 4.04803i −0.844073 0.487326i
\(70\) 0.0681308 0.0132475i 0.00814319 0.00158338i
\(71\) −9.25916 + 7.76936i −1.09886 + 0.922053i −0.997348 0.0727811i \(-0.976813\pi\)
−0.101512 + 0.994834i \(0.532368\pi\)
\(72\) −3.46846 + 1.47301i −0.408762 + 0.173596i
\(73\) 0.801985 + 4.54828i 0.0938653 + 0.532336i 0.995089 + 0.0989826i \(0.0315588\pi\)
−0.901224 + 0.433354i \(0.857330\pi\)
\(74\) 0.0711601 + 4.06280i 0.00827219 + 0.472291i
\(75\) −21.5077 −2.48349
\(76\) −8.04449 3.35948i −0.922767 0.385359i
\(77\) 0.0457310 0.00521154
\(78\) −0.159348 9.09776i −0.0180426 1.03012i
\(79\) 0.148866 + 0.844262i 0.0167487 + 0.0949868i 0.992036 0.125953i \(-0.0401988\pi\)
−0.975288 + 0.220940i \(0.929088\pi\)
\(80\) −11.2644 + 10.8832i −1.25940 + 1.21678i
\(81\) −8.59645 + 7.21328i −0.955162 + 0.801476i
\(82\) 11.1139 2.16101i 1.22732 0.238643i
\(83\) −4.31582 2.49174i −0.473723 0.273504i 0.244074 0.969757i \(-0.421516\pi\)
−0.717797 + 0.696253i \(0.754849\pi\)
\(84\) −0.0161169 + 0.0496230i −0.00175850 + 0.00541431i
\(85\) 11.0790 4.03242i 1.20168 0.437377i
\(86\) 7.38753 + 8.49735i 0.796618 + 0.916293i
\(87\) −0.665868 + 0.384439i −0.0713885 + 0.0412162i
\(88\) −8.65418 + 5.62231i −0.922539 + 0.599340i
\(89\) 4.86849 + 0.858447i 0.516059 + 0.0909952i 0.425611 0.904906i \(-0.360059\pi\)
0.0904478 + 0.995901i \(0.471170\pi\)
\(90\) 3.57647 6.45304i 0.376993 0.680210i
\(91\) −0.0296792 0.0249038i −0.00311122 0.00261063i
\(92\) 4.78873 6.13081i 0.499259 0.639181i
\(93\) 5.06396 + 1.84313i 0.525108 + 0.191124i
\(94\) 3.98063 + 10.3680i 0.410571 + 1.06938i
\(95\) 16.4613 4.51167i 1.68890 0.462888i
\(96\) −3.05081 11.3722i −0.311372 1.16067i
\(97\) −1.35020 + 3.70964i −0.137092 + 0.376657i −0.989173 0.146752i \(-0.953118\pi\)
0.852081 + 0.523410i \(0.175340\pi\)
\(98\) −5.09901 8.48503i −0.515078 0.857117i
\(99\) 3.12469 3.72386i 0.314043 0.374262i
\(100\) 2.87375 20.4656i 0.287375 2.04656i
\(101\) −1.11341 + 6.31446i −0.110788 + 0.628312i 0.877961 + 0.478732i \(0.158903\pi\)
−0.988750 + 0.149580i \(0.952208\pi\)
\(102\) −1.38592 + 8.75378i −0.137227 + 0.866753i
\(103\) 1.81621 + 3.14577i 0.178956 + 0.309962i 0.941523 0.336948i \(-0.109395\pi\)
−0.762567 + 0.646909i \(0.776061\pi\)
\(104\) 8.67826 + 1.06397i 0.850973 + 0.104331i
\(105\) −0.0349380 0.0959913i −0.00340960 0.00936779i
\(106\) −1.37600 + 1.69942i −0.133649 + 0.165063i
\(107\) 2.16098 3.74292i 0.208909 0.361842i −0.742462 0.669888i \(-0.766342\pi\)
0.951371 + 0.308047i \(0.0996753\pi\)
\(108\) −3.67961 5.88704i −0.354071 0.566481i
\(109\) −10.4560 12.4609i −1.00150 1.19354i −0.981051 0.193748i \(-0.937935\pi\)
−0.0204473 0.999791i \(-0.506509\pi\)
\(110\) 6.57716 19.1052i 0.627107 1.82161i
\(111\) 5.88962 1.03850i 0.559018 0.0985700i
\(112\) −0.0450652 0.0219664i −0.00425826 0.00207563i
\(113\) 5.68498i 0.534798i −0.963586 0.267399i \(-0.913836\pi\)
0.963586 0.267399i \(-0.0861642\pi\)
\(114\) −3.03216 + 12.4673i −0.283988 + 1.16767i
\(115\) 15.2311i 1.42031i
\(116\) −0.276842 0.684973i −0.0257042 0.0635981i
\(117\) −4.05581 + 0.715149i −0.374960 + 0.0661156i
\(118\) −5.60097 1.92819i −0.515611 0.177505i
\(119\) 0.0242569 + 0.0289083i 0.00222363 + 0.00265002i
\(120\) 18.4131 + 13.8701i 1.68088 + 1.26616i
\(121\) 1.15658 2.00325i 0.105143 0.182114i
\(122\) −3.51985 2.84997i −0.318672 0.258024i
\(123\) −5.69926 15.6586i −0.513885 1.41189i
\(124\) −2.43045 + 4.57234i −0.218261 + 0.410608i
\(125\) 10.4418 + 18.0857i 0.933940 + 1.61763i
\(126\) 0.0233243 + 0.00369278i 0.00207790 + 0.000328979i
\(127\) −1.92363 + 10.9095i −0.170695 + 0.968058i 0.772302 + 0.635256i \(0.219105\pi\)
−0.942997 + 0.332802i \(0.892006\pi\)
\(128\) 11.2288 1.38351i 0.992495 0.122286i
\(129\) 10.6522 12.6947i 0.937870 1.11771i
\(130\) −14.6726 + 8.81741i −1.28688 + 0.773338i
\(131\) 4.88661 13.4259i 0.426945 1.17302i −0.520712 0.853733i \(-0.674333\pi\)
0.947657 0.319290i \(-0.103444\pi\)
\(132\) 10.1648 + 11.2864i 0.884731 + 0.982356i
\(133\) 0.0315906 + 0.0445723i 0.00273925 + 0.00386491i
\(134\) 12.3086 4.72566i 1.06330 0.408235i
\(135\) 12.7727 + 4.64887i 1.09929 + 0.400111i
\(136\) −8.14447 2.48841i −0.698383 0.213380i
\(137\) 1.69104 + 1.41895i 0.144475 + 0.121229i 0.712161 0.702016i \(-0.247717\pi\)
−0.567686 + 0.823245i \(0.692161\pi\)
\(138\) −10.0143 5.55026i −0.852477 0.472469i
\(139\) 4.58434 + 0.808342i 0.388838 + 0.0685627i 0.364650 0.931145i \(-0.381189\pi\)
0.0241886 + 0.999707i \(0.492300\pi\)
\(140\) 0.0960086 0.0204193i 0.00811421 0.00172575i
\(141\) 14.1556 8.17276i 1.19212 0.688271i
\(142\) −12.9000 + 11.2152i −1.08254 + 0.941155i
\(143\) −10.5987 + 3.85762i −0.886310 + 0.322590i
\(144\) −4.86792 + 2.16873i −0.405660 + 0.180728i
\(145\) 1.25270 + 0.723244i 0.104031 + 0.0600621i
\(146\) 1.24665 + 6.41140i 0.103173 + 0.530611i
\(147\) −11.1609 + 9.36515i −0.920540 + 0.772424i
\(148\) 0.201240 + 5.74302i 0.0165418 + 0.472074i
\(149\) −3.23910 18.3698i −0.265357 1.50491i −0.768016 0.640430i \(-0.778756\pi\)
0.502659 0.864485i \(-0.332355\pi\)
\(150\) −30.4118 + 0.532663i −2.48311 + 0.0434918i
\(151\) −11.9197 −0.970010 −0.485005 0.874511i \(-0.661182\pi\)
−0.485005 + 0.874511i \(0.661182\pi\)
\(152\) −11.4581 4.55107i −0.929374 0.369140i
\(153\) 4.01141 0.324303
\(154\) 0.0646636 0.00113258i 0.00521074 9.12662e-5i
\(155\) −1.76048 9.98420i −0.141405 0.801950i
\(156\) −0.450634 12.8603i −0.0360796 1.02964i
\(157\) 9.27872 7.78577i 0.740522 0.621372i −0.192456 0.981306i \(-0.561645\pi\)
0.932978 + 0.359934i \(0.117201\pi\)
\(158\) 0.231405 + 1.19010i 0.0184096 + 0.0946790i
\(159\) 2.78710 + 1.60913i 0.221031 + 0.127612i
\(160\) −15.6584 + 15.6677i −1.23790 + 1.23864i
\(161\) −0.0458112 + 0.0166739i −0.00361043 + 0.00131409i
\(162\) −11.9767 + 10.4125i −0.940979 + 0.818080i
\(163\) −3.89964 + 2.25146i −0.305443 + 0.176348i −0.644886 0.764279i \(-0.723095\pi\)
0.339442 + 0.940627i \(0.389762\pi\)
\(164\) 15.6614 3.33090i 1.22295 0.260100i
\(165\) −29.2865 5.16400i −2.27995 0.402017i
\(166\) −6.16427 3.41643i −0.478440 0.265166i
\(167\) −0.466911 0.391785i −0.0361306 0.0303172i 0.624544 0.780990i \(-0.285285\pi\)
−0.660674 + 0.750673i \(0.729729\pi\)
\(168\) −0.0215603 + 0.0705659i −0.00166341 + 0.00544427i
\(169\) −3.23675 1.17808i −0.248981 0.0906217i
\(170\) 15.5658 5.97621i 1.19384 0.458355i
\(171\) 5.78802 + 0.473108i 0.442621 + 0.0361795i
\(172\) 10.6564 + 11.8323i 0.812542 + 0.902202i
\(173\) −0.699568 + 1.92205i −0.0531871 + 0.146130i −0.963441 0.267919i \(-0.913664\pi\)
0.910254 + 0.414050i \(0.135886\pi\)
\(174\) −0.932013 + 0.560086i −0.0706558 + 0.0424600i
\(175\) −0.0832478 + 0.0992109i −0.00629294 + 0.00749964i
\(176\) −12.0977 + 8.16425i −0.911902 + 0.615404i
\(177\) −1.51390 + 8.58578i −0.113792 + 0.645346i
\(178\) 6.90529 + 1.09327i 0.517574 + 0.0819438i
\(179\) 11.2319 + 19.4542i 0.839510 + 1.45407i 0.890305 + 0.455365i \(0.150491\pi\)
−0.0507946 + 0.998709i \(0.516175\pi\)
\(180\) 4.89730 9.21315i 0.365023 0.686708i
\(181\) 8.67231 + 23.8270i 0.644607 + 1.77104i 0.636744 + 0.771075i \(0.280281\pi\)
0.00786332 + 0.999969i \(0.497497\pi\)
\(182\) −0.0425830 0.0344788i −0.00315646 0.00255574i
\(183\) −3.33284 + 5.77264i −0.246370 + 0.426726i
\(184\) 6.61941 8.78754i 0.487989 0.647826i
\(185\) −7.23204 8.61881i −0.531710 0.633668i
\(186\) 7.20607 + 2.48076i 0.528375 + 0.181899i
\(187\) 10.8191 1.90769i 0.791168 0.139504i
\(188\) 5.88537 + 14.5618i 0.429235 + 1.06203i
\(189\) 0.0435060i 0.00316460i
\(190\) 23.1645 6.78718i 1.68053 0.492394i
\(191\) 18.2562i 1.32097i −0.750839 0.660485i \(-0.770351\pi\)
0.750839 0.660485i \(-0.229649\pi\)
\(192\) −4.59548 16.0046i −0.331651 1.15503i
\(193\) −1.41653 + 0.249772i −0.101964 + 0.0179790i −0.224397 0.974498i \(-0.572041\pi\)
0.122433 + 0.992477i \(0.460930\pi\)
\(194\) −1.81730 + 5.27886i −0.130475 + 0.379000i
\(195\) 16.1946 + 19.3000i 1.15972 + 1.38210i
\(196\) −7.42013 11.8715i −0.530009 0.847966i
\(197\) 1.84338 3.19283i 0.131335 0.227479i −0.792856 0.609409i \(-0.791407\pi\)
0.924192 + 0.381929i \(0.124740\pi\)
\(198\) 4.32608 5.34292i 0.307441 0.379705i
\(199\) −6.67292 18.3337i −0.473031 1.29964i −0.915305 0.402762i \(-0.868050\pi\)
0.442274 0.896880i \(-0.354172\pi\)
\(200\) 3.55662 29.0095i 0.251491 2.05128i
\(201\) −9.70240 16.8051i −0.684355 1.18534i
\(202\) −1.41797 + 8.95619i −0.0997681 + 0.630156i
\(203\) −0.000803969 0.00455953i −5.64276e−5 0.000320017i
\(204\) −1.74289 + 12.4121i −0.122027 + 0.869024i
\(205\) −20.1508 + 24.0148i −1.40739 + 1.67726i
\(206\) 2.64602 + 4.40312i 0.184357 + 0.306780i
\(207\) −1.77242 + 4.86968i −0.123192 + 0.338466i
\(208\) 12.2974 + 1.28952i 0.852670 + 0.0894125i
\(209\) 15.8357 1.47658i 1.09538 0.102137i
\(210\) −0.0517795 0.134866i −0.00357312 0.00930664i
\(211\) −5.20674 1.89510i −0.358447 0.130464i 0.156518 0.987675i \(-0.449973\pi\)
−0.514965 + 0.857211i \(0.672195\pi\)
\(212\) −1.90357 + 2.43706i −0.130737 + 0.167378i
\(213\) 19.2722 + 16.1713i 1.32051 + 1.10804i
\(214\) 2.96292 5.34600i 0.202541 0.365445i
\(215\) −30.7029 5.41375i −2.09392 0.369214i
\(216\) −5.34876 8.23312i −0.363937 0.560193i
\(217\) 0.0281026 0.0162251i 0.00190773 0.00110143i
\(218\) −15.0933 17.3607i −1.02225 1.17582i
\(219\) 9.03318 3.28781i 0.610406 0.222170i
\(220\) 8.82691 27.1775i 0.595110 1.83231i
\(221\) −8.06038 4.65366i −0.542200 0.313039i
\(222\) 8.30219 1.61430i 0.557206 0.108345i
\(223\) 1.81627 1.52403i 0.121626 0.102057i −0.579946 0.814655i \(-0.696926\pi\)
0.701572 + 0.712598i \(0.252482\pi\)
\(224\) −0.0642661 0.0299443i −0.00429396 0.00200074i
\(225\) 2.39059 + 13.5577i 0.159372 + 0.903846i
\(226\) −0.140795 8.03855i −0.00936557 0.534716i
\(227\) 24.6646 1.63705 0.818524 0.574472i \(-0.194793\pi\)
0.818524 + 0.574472i \(0.194793\pi\)
\(228\) −3.97870 + 17.7038i −0.263496 + 1.17246i
\(229\) −17.5053 −1.15678 −0.578392 0.815759i \(-0.696320\pi\)
−0.578392 + 0.815759i \(0.696320\pi\)
\(230\) 0.377216 + 21.5367i 0.0248729 + 1.42009i
\(231\) −0.0165288 0.0937392i −0.00108751 0.00616759i
\(232\) −0.408418 0.961693i −0.0268140 0.0631382i
\(233\) 0.796913 0.668689i 0.0522075 0.0438073i −0.616311 0.787503i \(-0.711373\pi\)
0.668518 + 0.743696i \(0.266929\pi\)
\(234\) −5.71720 + 1.11167i −0.373745 + 0.0726719i
\(235\) −26.6310 15.3754i −1.73721 1.00298i
\(236\) −7.96751 2.58774i −0.518641 0.168448i
\(237\) 1.67676 0.610290i 0.108917 0.0396426i
\(238\) 0.0350152 + 0.0402755i 0.00226970 + 0.00261067i
\(239\) −5.03710 + 2.90817i −0.325823 + 0.188114i −0.653985 0.756508i \(-0.726904\pi\)
0.328162 + 0.944621i \(0.393571\pi\)
\(240\) 26.3796 + 19.1563i 1.70280 + 1.23653i
\(241\) 10.6156 + 1.87182i 0.683813 + 0.120575i 0.504753 0.863264i \(-0.331583\pi\)
0.179060 + 0.983838i \(0.442695\pi\)
\(242\) 1.58578 2.86123i 0.101938 0.183927i
\(243\) 9.91553 + 8.32012i 0.636081 + 0.533736i
\(244\) −5.04764 3.94267i −0.323142 0.252404i
\(245\) 25.7567 + 9.37468i 1.64554 + 0.598926i
\(246\) −8.44654 22.0000i −0.538532 1.40267i
\(247\) −11.0814 7.66537i −0.705091 0.487736i
\(248\) −3.32341 + 6.52546i −0.211037 + 0.414367i
\(249\) −3.54767 + 9.74714i −0.224824 + 0.617700i
\(250\) 15.2125 + 25.3145i 0.962125 + 1.60103i
\(251\) 14.8164 17.6575i 0.935205 1.11453i −0.0580182 0.998316i \(-0.518478\pi\)
0.993224 0.116219i \(-0.0370774\pi\)
\(252\) 0.0330720 + 0.00464392i 0.00208334 + 0.000292539i
\(253\) −2.46448 + 13.9768i −0.154941 + 0.878712i
\(254\) −2.44982 + 15.4736i −0.153716 + 0.970899i
\(255\) −12.2700 21.2522i −0.768374 1.33086i
\(256\) 15.8432 2.23437i 0.990201 0.139648i
\(257\) −10.2488 28.1585i −0.639305 1.75648i −0.653898 0.756583i \(-0.726867\pi\)
0.0145929 0.999894i \(-0.495355\pi\)
\(258\) 14.7477 18.2141i 0.918153 1.13396i
\(259\) 0.0180060 0.0311873i 0.00111884 0.00193789i
\(260\) −20.5287 + 12.8312i −1.27314 + 0.795756i
\(261\) 0.316348 + 0.377009i 0.0195815 + 0.0233363i
\(262\) 6.57715 19.1051i 0.406338 1.18032i
\(263\) −28.4822 + 5.02219i −1.75629 + 0.309681i −0.956746 0.290925i \(-0.906037\pi\)
−0.799545 + 0.600607i \(0.794926\pi\)
\(264\) 14.6525 + 15.7072i 0.901798 + 0.966712i
\(265\) 6.05451i 0.371926i
\(266\) 0.0457729 + 0.0622428i 0.00280652 + 0.00381635i
\(267\) 10.2897i 0.629718i
\(268\) 17.2872 6.98690i 1.05599 0.426793i
\(269\) −22.2457 + 3.92252i −1.35634 + 0.239160i −0.804086 0.594513i \(-0.797345\pi\)
−0.552258 + 0.833673i \(0.686234\pi\)
\(270\) 18.1756 + 6.25715i 1.10613 + 0.380798i
\(271\) 11.2567 + 13.4152i 0.683794 + 0.814914i 0.990590 0.136861i \(-0.0437014\pi\)
−0.306796 + 0.951775i \(0.599257\pi\)
\(272\) −11.5779 3.31690i −0.702012 0.201117i
\(273\) −0.0403206 + 0.0698373i −0.00244031 + 0.00422674i
\(274\) 2.42626 + 1.96451i 0.146576 + 0.118680i
\(275\) 12.8952 + 35.4292i 0.777608 + 2.13646i
\(276\) −14.2977 7.60003i −0.860621 0.457468i
\(277\) 0.755353 + 1.30831i 0.0453848 + 0.0786087i 0.887825 0.460180i \(-0.152215\pi\)
−0.842441 + 0.538789i \(0.818882\pi\)
\(278\) 6.50226 + 1.02946i 0.389979 + 0.0617427i
\(279\) 0.598984 3.39701i 0.0358602 0.203373i
\(280\) 0.135250 0.0312506i 0.00808275 0.00186758i
\(281\) −10.9264 + 13.0216i −0.651817 + 0.776805i −0.986187 0.165637i \(-0.947032\pi\)
0.334370 + 0.942442i \(0.391477\pi\)
\(282\) 19.8136 11.9068i 1.17988 0.709042i
\(283\) −9.95447 + 27.3497i −0.591732 + 1.62577i 0.175558 + 0.984469i \(0.443827\pi\)
−0.767290 + 0.641301i \(0.778395\pi\)
\(284\) −17.9628 + 16.1777i −1.06590 + 0.959969i
\(285\) −15.1977 32.1117i −0.900234 1.90213i
\(286\) −14.8910 + 5.71715i −0.880524 + 0.338062i
\(287\) −0.0942898 0.0343187i −0.00556575 0.00202577i
\(288\) −6.82951 + 3.18714i −0.402433 + 0.187804i
\(289\) −6.07812 5.10015i −0.357537 0.300009i
\(290\) 1.78922 + 0.991640i 0.105067 + 0.0582311i
\(291\) 8.09202 + 1.42684i 0.474362 + 0.0836429i
\(292\) 1.92154 + 9.03482i 0.112450 + 0.528723i
\(293\) 16.0206 9.24953i 0.935936 0.540363i 0.0472521 0.998883i \(-0.484954\pi\)
0.888684 + 0.458520i \(0.151620\pi\)
\(294\) −15.5496 + 13.5187i −0.906871 + 0.788427i
\(295\) 15.4124 5.60967i 0.897347 0.326608i
\(296\) 0.426786 + 8.11563i 0.0248064 + 0.471712i
\(297\) 10.9686 + 6.33271i 0.636461 + 0.367461i
\(298\) −5.03502 25.8947i −0.291671 1.50004i
\(299\) 9.21077 7.72876i 0.532673 0.446965i
\(300\) −42.9890 + 1.50637i −2.48197 + 0.0869702i
\(301\) −0.0173281 0.0982728i −0.000998778 0.00566435i
\(302\) −16.8544 + 0.295205i −0.969861 + 0.0169871i
\(303\) 13.3458 0.766694
\(304\) −16.3144 6.15142i −0.935696 0.352808i
\(305\) 12.5401 0.718045
\(306\) 5.67212 0.0993474i 0.324254 0.00567931i
\(307\) −2.03721 11.5536i −0.116270 0.659397i −0.986114 0.166071i \(-0.946892\pi\)
0.869844 0.493326i \(-0.164219\pi\)
\(308\) 0.0914060 0.00320294i 0.00520834 0.000182504i
\(309\) 5.79174 4.85984i 0.329480 0.276467i
\(310\) −2.73659 14.0740i −0.155428 0.799351i
\(311\) 15.1860 + 8.76764i 0.861119 + 0.497167i 0.864387 0.502827i \(-0.167707\pi\)
−0.00326795 + 0.999995i \(0.501040\pi\)
\(312\) −0.955694 18.1732i −0.0541055 1.02885i
\(313\) −17.7593 + 6.46387i −1.00382 + 0.365359i −0.791055 0.611745i \(-0.790468\pi\)
−0.212761 + 0.977104i \(0.568246\pi\)
\(314\) 12.9272 11.2388i 0.729527 0.634245i
\(315\) −0.0566261 + 0.0326931i −0.00319052 + 0.00184205i
\(316\) 0.356680 + 1.67706i 0.0200648 + 0.0943421i
\(317\) 18.2177 + 3.21228i 1.02321 + 0.180420i 0.659983 0.751281i \(-0.270564\pi\)
0.363228 + 0.931700i \(0.381675\pi\)
\(318\) 3.98080 + 2.20628i 0.223232 + 0.123722i
\(319\) 1.03251 + 0.866376i 0.0578093 + 0.0485077i
\(320\) −21.7528 + 22.5419i −1.21602 + 1.26013i
\(321\) −8.45327 3.07674i −0.471815 0.171727i
\(322\) −0.0643639 + 0.0247114i −0.00358686 + 0.00137711i
\(323\) 9.33307 + 9.22712i 0.519306 + 0.513411i
\(324\) −16.6772 + 15.0198i −0.926509 + 0.834433i
\(325\) 10.9248 30.0156i 0.605999 1.66497i
\(326\) −5.45832 + 3.28013i −0.302308 + 0.181670i
\(327\) −21.7632 + 25.9364i −1.20351 + 1.43428i
\(328\) 22.0627 5.09776i 1.21821 0.281477i
\(329\) 0.0170915 0.0969308i 0.000942286 0.00534397i
\(330\) −41.5389 6.57656i −2.28664 0.362028i
\(331\) 2.81137 + 4.86944i 0.154527 + 0.267649i 0.932887 0.360170i \(-0.117281\pi\)
−0.778360 + 0.627819i \(0.783948\pi\)
\(332\) −8.80086 4.67815i −0.483010 0.256747i
\(333\) −1.30927 3.59718i −0.0717474 0.197124i
\(334\) −0.669913 0.542419i −0.0366560 0.0296798i
\(335\) −18.2531 + 31.6153i −0.997274 + 1.72733i
\(336\) −0.0287385 + 0.100314i −0.00156781 + 0.00547257i
\(337\) 11.9419 + 14.2318i 0.650515 + 0.775254i 0.985992 0.166795i \(-0.0533417\pi\)
−0.335476 + 0.942049i \(0.608897\pi\)
\(338\) −4.60593 1.58564i −0.250530 0.0862475i
\(339\) −11.6530 + 2.05475i −0.632907 + 0.111599i
\(340\) 21.8619 8.83585i 1.18563 0.479191i
\(341\) 9.44683i 0.511574i
\(342\) 8.19596 + 0.525626i 0.443187 + 0.0284226i
\(343\) 0.175466i 0.00947429i
\(344\) 15.3611 + 16.4669i 0.828217 + 0.887834i
\(345\) 31.2206 5.50504i 1.68086 0.296381i
\(346\) −0.941585 + 2.73509i −0.0506199 + 0.147039i
\(347\) −13.5612 16.1617i −0.728005 0.867603i 0.267377 0.963592i \(-0.413843\pi\)
−0.995382 + 0.0959889i \(0.969399\pi\)
\(348\) −1.30399 + 0.815042i −0.0699013 + 0.0436909i
\(349\) −7.02205 + 12.1625i −0.375882 + 0.651046i −0.990459 0.137811i \(-0.955993\pi\)
0.614577 + 0.788857i \(0.289327\pi\)
\(350\) −0.115255 + 0.142346i −0.00616064 + 0.00760869i
\(351\) −3.66993 10.0830i −0.195886 0.538193i
\(352\) −16.9040 + 11.8438i −0.900985 + 0.631279i
\(353\) −5.54692 9.60756i −0.295233 0.511359i 0.679806 0.733392i \(-0.262064\pi\)
−0.975039 + 0.222033i \(0.928731\pi\)
\(354\) −1.92802 + 12.1778i −0.102473 + 0.647240i
\(355\) 8.21872 46.6107i 0.436204 2.47384i
\(356\) 9.79114 + 1.37486i 0.518929 + 0.0728673i
\(357\) 0.0504888 0.0601702i 0.00267215 0.00318454i
\(358\) 16.3636 + 27.2300i 0.864846 + 1.43915i
\(359\) 2.47546 6.80128i 0.130650 0.358958i −0.857068 0.515203i \(-0.827717\pi\)
0.987718 + 0.156245i \(0.0499389\pi\)
\(360\) 6.69660 13.1487i 0.352942 0.692995i
\(361\) 12.3783 + 14.4145i 0.651492 + 0.758656i
\(362\) 12.8527 + 33.4765i 0.675524 + 1.75948i
\(363\) −4.52428 1.64670i −0.237463 0.0864295i
\(364\) −0.0610662 0.0476983i −0.00320074 0.00250007i
\(365\) −13.8537 11.6247i −0.725137 0.608462i
\(366\) −4.56965 + 8.24504i −0.238860 + 0.430975i
\(367\) 11.9786 + 2.11215i 0.625276 + 0.110253i 0.477304 0.878738i \(-0.341614\pi\)
0.147973 + 0.988991i \(0.452725\pi\)
\(368\) 9.14219 12.5895i 0.476570 0.656273i
\(369\) −9.23715 + 5.33307i −0.480867 + 0.277629i
\(370\) −10.4395 12.0079i −0.542726 0.624259i
\(371\) 0.0182104 0.00662804i 0.000945436 0.000344111i
\(372\) 10.2508 + 3.32933i 0.531479 + 0.172618i
\(373\) 11.3195 + 6.53529i 0.586100 + 0.338385i 0.763554 0.645744i \(-0.223453\pi\)
−0.177454 + 0.984129i \(0.556786\pi\)
\(374\) 15.2509 2.96542i 0.788604 0.153338i
\(375\) 33.2979 27.9403i 1.71950 1.44283i
\(376\) 8.68254 + 20.4446i 0.447768 + 1.05435i
\(377\) −0.198288 1.12455i −0.0102123 0.0579170i
\(378\) 0.00107748 + 0.0615174i 5.54195e−5 + 0.00316411i
\(379\) 1.20676 0.0619869 0.0309935 0.999520i \(-0.490133\pi\)
0.0309935 + 0.999520i \(0.490133\pi\)
\(380\) 32.5865 10.1707i 1.67165 0.521748i
\(381\) 23.0574 1.18127
\(382\) −0.452136 25.8142i −0.0231333 1.32077i
\(383\) 0.143101 + 0.811565i 0.00731211 + 0.0414690i 0.988246 0.152875i \(-0.0488532\pi\)
−0.980933 + 0.194344i \(0.937742\pi\)
\(384\) −6.89437 22.5167i −0.351827 1.14905i
\(385\) −0.137177 + 0.115105i −0.00699119 + 0.00586631i
\(386\) −1.99678 + 0.388259i −0.101633 + 0.0197619i
\(387\) −9.18631 5.30372i −0.466967 0.269603i
\(388\) −2.43893 + 7.50931i −0.123818 + 0.381227i
\(389\) −23.4630 + 8.53983i −1.18962 + 0.432986i −0.859590 0.510984i \(-0.829281\pi\)
−0.330030 + 0.943970i \(0.607059\pi\)
\(390\) 23.3771 + 26.8890i 1.18374 + 1.36158i
\(391\) −10.1425 + 5.85575i −0.512926 + 0.296138i
\(392\) −10.7860 16.6025i −0.544778 0.838554i
\(393\) −29.2864 5.16399i −1.47731 0.260489i
\(394\) 2.52746 4.56030i 0.127331 0.229744i
\(395\) −2.57156 2.15779i −0.129389 0.108570i
\(396\) 5.98474 7.66201i 0.300744 0.385030i
\(397\) 8.73147 + 3.17800i 0.438220 + 0.159499i 0.551703 0.834041i \(-0.313978\pi\)
−0.113482 + 0.993540i \(0.536201\pi\)
\(398\) −9.88955 25.7585i −0.495718 1.29116i
\(399\) 0.0799462 0.0808642i 0.00400232 0.00404827i
\(400\) 4.31060 41.1074i 0.215530 2.05537i
\(401\) −0.732427 + 2.01233i −0.0365756 + 0.100491i −0.956636 0.291285i \(-0.905917\pi\)
0.920061 + 0.391776i \(0.128139\pi\)
\(402\) −14.1354 23.5220i −0.705008 1.17317i
\(403\) −5.14446 + 6.13093i −0.256264 + 0.305404i
\(404\) −1.78320 + 12.6991i −0.0887173 + 0.631806i
\(405\) 7.63048 43.2746i 0.379162 2.15033i
\(406\) −0.00102389 + 0.00646708i −5.08147e−5 + 0.000320956i
\(407\) −5.24189 9.07922i −0.259831 0.450040i
\(408\) −2.15705 + 17.5939i −0.106790 + 0.871027i
\(409\) 8.45981 + 23.2431i 0.418311 + 1.14930i 0.952661 + 0.304036i \(0.0983343\pi\)
−0.534350 + 0.845264i \(0.679443\pi\)
\(410\) −27.8984 + 34.4559i −1.37780 + 1.70165i
\(411\) 2.29736 3.97914i 0.113320 0.196276i
\(412\) 3.85052 + 6.16047i 0.189701 + 0.303505i
\(413\) 0.0337448 + 0.0402155i 0.00166047 + 0.00197888i
\(414\) −2.38559 + 6.92960i −0.117245 + 0.340571i
\(415\) 19.2177 3.38859i 0.943358 0.166339i
\(416\) 17.4204 + 1.51882i 0.854105 + 0.0744665i
\(417\) 9.68911i 0.474478i
\(418\) 22.3551 2.48007i 1.09342 0.121304i
\(419\) 18.2597i 0.892044i 0.895022 + 0.446022i \(0.147160\pi\)
−0.895022 + 0.446022i \(0.852840\pi\)
\(420\) −0.0765562 0.189418i −0.00373556 0.00924264i
\(421\) 2.37505 0.418786i 0.115753 0.0204104i −0.115472 0.993311i \(-0.536838\pi\)
0.231225 + 0.972900i \(0.425727\pi\)
\(422\) −7.40925 2.55071i −0.360677 0.124167i
\(423\) −6.72522 8.01481i −0.326992 0.389693i
\(424\) −2.63128 + 3.49313i −0.127786 + 0.169642i
\(425\) −15.5562 + 26.9441i −0.754585 + 1.30698i
\(426\) 27.6513 + 22.3888i 1.33971 + 1.08474i
\(427\) 0.0137280 + 0.0377174i 0.000664345 + 0.00182527i
\(428\) 4.05715 7.63260i 0.196110 0.368936i
\(429\) 11.7381 + 20.3309i 0.566719 + 0.981586i
\(430\) −43.5478 6.89463i −2.10006 0.332488i
\(431\) −4.29462 + 24.3560i −0.206864 + 1.17319i 0.687614 + 0.726076i \(0.258658\pi\)
−0.894479 + 0.447111i \(0.852453\pi\)
\(432\) −7.76703 11.5091i −0.373691 0.553734i
\(433\) 20.5038 24.4355i 0.985352 1.17430i 0.000658384 1.00000i \(-0.499790\pi\)
0.984693 0.174297i \(-0.0557651\pi\)
\(434\) 0.0393352 0.0236382i 0.00188815 0.00113467i
\(435\) 1.02973 2.82917i 0.0493720 0.135648i
\(436\) −21.7718 24.1742i −1.04268 1.15774i
\(437\) −15.3251 + 7.25300i −0.733098 + 0.346958i
\(438\) 12.6915 4.87267i 0.606422 0.232825i
\(439\) 18.4899 + 6.72976i 0.882473 + 0.321194i 0.743207 0.669061i \(-0.233304\pi\)
0.139266 + 0.990255i \(0.455526\pi\)
\(440\) 11.8081 38.6476i 0.562931 1.84245i
\(441\) 7.14400 + 5.99453i 0.340191 + 0.285454i
\(442\) −11.5126 6.38064i −0.547599 0.303496i
\(443\) 5.11402 + 0.901740i 0.242975 + 0.0428430i 0.293809 0.955864i \(-0.405077\pi\)
−0.0508345 + 0.998707i \(0.516188\pi\)
\(444\) 11.6993 2.48823i 0.555224 0.118086i
\(445\) −16.7645 + 9.67898i −0.794712 + 0.458827i
\(446\) 2.53045 2.19996i 0.119820 0.104171i
\(447\) −36.4836 + 13.2790i −1.72562 + 0.628073i
\(448\) −0.0916137 0.0407496i −0.00432834 0.00192524i
\(449\) 13.6251 + 7.86644i 0.643007 + 0.371240i 0.785772 0.618517i \(-0.212266\pi\)
−0.142765 + 0.989757i \(0.545599\pi\)
\(450\) 3.71605 + 19.1113i 0.175176 + 0.900916i
\(451\) −22.3770 + 18.7766i −1.05369 + 0.884154i
\(452\) −0.398169 11.3630i −0.0187283 0.534470i
\(453\) 4.30818 + 24.4329i 0.202416 + 1.14796i
\(454\) 34.8757 0.610849i 1.63680 0.0286686i
\(455\) 0.151710 0.00711227
\(456\) −5.18741 + 25.1316i −0.242923 + 1.17690i
\(457\) −37.8299 −1.76961 −0.884803 0.465965i \(-0.845707\pi\)
−0.884803 + 0.465965i \(0.845707\pi\)
\(458\) −24.7525 + 0.433540i −1.15661 + 0.0202580i
\(459\) 1.81488 + 10.2927i 0.0847111 + 0.480421i
\(460\) 1.06677 + 30.4435i 0.0497382 + 1.41944i
\(461\) −26.3446 + 22.1057i −1.22699 + 1.02957i −0.228560 + 0.973530i \(0.573402\pi\)
−0.998429 + 0.0560360i \(0.982154\pi\)
\(462\) −0.0256932 0.132138i −0.00119535 0.00614760i
\(463\) 5.85991 + 3.38322i 0.272333 + 0.157232i 0.629948 0.776638i \(-0.283076\pi\)
−0.357614 + 0.933869i \(0.616410\pi\)
\(464\) −0.601320 1.34972i −0.0279156 0.0626590i
\(465\) −19.8293 + 7.21726i −0.919560 + 0.334692i
\(466\) 1.11027 0.965261i 0.0514323 0.0447148i
\(467\) 34.2890 19.7968i 1.58671 0.916086i 0.592863 0.805303i \(-0.297998\pi\)
0.993845 0.110783i \(-0.0353358\pi\)
\(468\) −8.05656 + 1.71348i −0.372415 + 0.0792059i
\(469\) −0.115073 0.0202904i −0.00531357 0.000936925i
\(470\) −38.0369 21.0812i −1.75451 0.972404i
\(471\) −19.3129 16.2054i −0.889890 0.746706i
\(472\) −11.3301 3.46174i −0.521511 0.159339i
\(473\) −27.2984 9.93581i −1.25518 0.456849i
\(474\) 2.35581 0.904475i 0.108206 0.0415439i
\(475\) −25.6236 + 37.0426i −1.17569 + 1.69963i
\(476\) 0.0505088 + 0.0560822i 0.00231507 + 0.00257052i
\(477\) 0.704553 1.93574i 0.0322593 0.0886316i
\(478\) −7.05042 + 4.23689i −0.322478 + 0.193791i
\(479\) 3.80512 4.53476i 0.173860 0.207199i −0.672077 0.740482i \(-0.734597\pi\)
0.845937 + 0.533283i \(0.179042\pi\)
\(480\) 37.7751 + 26.4336i 1.72419 + 1.20652i
\(481\) −1.54232 + 8.74693i −0.0703237 + 0.398826i
\(482\) 15.0568 + 2.38384i 0.685820 + 0.108581i
\(483\) 0.0507358 + 0.0878770i 0.00230856 + 0.00399854i
\(484\) 2.17143 4.08505i 0.0987014 0.185684i
\(485\) −5.28706 14.5261i −0.240073 0.659596i
\(486\) 14.2266 + 11.5190i 0.645331 + 0.522515i
\(487\) 9.55411 16.5482i 0.432938 0.749871i −0.564187 0.825647i \(-0.690810\pi\)
0.997125 + 0.0757763i \(0.0241435\pi\)
\(488\) −7.23499 5.44991i −0.327512 0.246706i
\(489\) 6.02449 + 7.17970i 0.272437 + 0.324677i
\(490\) 36.6521 + 12.6179i 1.65577 + 0.570017i
\(491\) 10.3208 1.81983i 0.465771 0.0821279i 0.0641624 0.997939i \(-0.479562\pi\)
0.401608 + 0.915812i \(0.368451\pi\)
\(492\) −12.4882 30.8988i −0.563013 1.39303i
\(493\) 1.11223i 0.0500925i
\(494\) −15.8589 10.5644i −0.713525 0.475313i
\(495\) 19.0351i 0.855566i
\(496\) −4.53768 + 9.30929i −0.203748 + 0.417999i
\(497\) 0.149190 0.0263062i 0.00669209 0.00118000i
\(498\) −4.77499 + 13.8703i −0.213973 + 0.621543i
\(499\) −25.8797 30.8423i −1.15854 1.38069i −0.911304 0.411733i \(-0.864923\pi\)
−0.247232 0.968956i \(-0.579521\pi\)
\(500\) 22.1374 + 35.4178i 0.990016 + 1.58393i
\(501\) −0.634321 + 1.09868i −0.0283394 + 0.0490852i
\(502\) 20.5131 25.3347i 0.915544 1.13074i
\(503\) −9.52283 26.1638i −0.424602 1.16658i −0.949045 0.315139i \(-0.897949\pi\)
0.524443 0.851445i \(-0.324273\pi\)
\(504\) 0.0468787 + 0.00574742i 0.00208814 + 0.000256010i
\(505\) −12.5537 21.7436i −0.558631 0.967578i
\(506\) −3.13862 + 19.8241i −0.139529 + 0.881291i
\(507\) −1.24495 + 7.06048i −0.0552903 + 0.313567i
\(508\) −3.08082 + 21.9403i −0.136689 + 0.973442i
\(509\) 17.9851 21.4337i 0.797173 0.950034i −0.202398 0.979303i \(-0.564874\pi\)
0.999572 + 0.0292691i \(0.00931798\pi\)
\(510\) −17.8760 29.7466i −0.791563 1.31720i
\(511\) 0.0197979 0.0543942i 0.000875806 0.00240626i
\(512\) 22.3469 3.55176i 0.987604 0.156967i
\(513\) 1.40474 + 15.0652i 0.0620209 + 0.665146i
\(514\) −15.1892 39.5621i −0.669967 1.74501i
\(515\) −13.3659 4.86479i −0.588972 0.214368i
\(516\) 20.4021 26.1200i 0.898154 1.14987i
\(517\) −21.9500 18.4182i −0.965359 0.810033i
\(518\) 0.0246881 0.0445447i 0.00108473 0.00195718i
\(519\) 4.19265 + 0.739277i 0.184037 + 0.0324507i
\(520\) −28.7097 + 18.6517i −1.25901 + 0.817929i
\(521\) −0.104545 + 0.0603592i −0.00458021 + 0.00264439i −0.502288 0.864700i \(-0.667508\pi\)
0.497708 + 0.867345i \(0.334175\pi\)
\(522\) 0.456652 + 0.525255i 0.0199871 + 0.0229898i
\(523\) 16.0259 5.83294i 0.700763 0.255057i 0.0330262 0.999454i \(-0.489486\pi\)
0.667737 + 0.744398i \(0.267263\pi\)
\(524\) 8.82690 27.1775i 0.385605 1.18725i
\(525\) 0.233451 + 0.134783i 0.0101886 + 0.00588240i
\(526\) −40.1494 + 7.80675i −1.75060 + 0.340391i
\(527\) 5.97169 5.01084i 0.260131 0.218276i
\(528\) 21.1076 + 21.8471i 0.918589 + 0.950771i
\(529\) 1.36667 + 7.75075i 0.0594203 + 0.336989i
\(530\) −0.149947 8.56106i −0.00651329 0.371869i
\(531\) 5.58044 0.242171
\(532\) 0.0662643 + 0.0868774i 0.00287292 + 0.00376661i
\(533\) 24.7477 1.07194
\(534\) −0.254836 14.5496i −0.0110278 0.629622i
\(535\) 2.93878 + 16.6666i 0.127054 + 0.720561i
\(536\) 24.2710 10.3076i 1.04835 0.445220i
\(537\) 35.8175 30.0545i 1.54564 1.29695i
\(538\) −31.3582 + 6.09737i −1.35195 + 0.262876i
\(539\) 22.1187 + 12.7702i 0.952719 + 0.550053i
\(540\) 25.8552 + 8.39745i 1.11263 + 0.361369i
\(541\) 36.3211 13.2198i 1.56157 0.568364i 0.590472 0.807058i \(-0.298942\pi\)
0.971095 + 0.238694i \(0.0767193\pi\)
\(542\) 16.2491 + 18.6902i 0.697960 + 0.802814i
\(543\) 45.7059 26.3883i 1.96143 1.13243i
\(544\) −16.4532 4.40335i −0.705427 0.188792i
\(545\) 62.7284 + 11.0607i 2.68699 + 0.473788i
\(546\) −0.0552835 + 0.0997483i −0.00236592 + 0.00426883i
\(547\) −30.4952 25.5886i −1.30388 1.09409i −0.989460 0.144804i \(-0.953745\pi\)
−0.314422 0.949283i \(-0.601811\pi\)
\(548\) 3.47938 + 2.71772i 0.148632 + 0.116095i
\(549\) 4.00932 + 1.45927i 0.171113 + 0.0622802i
\(550\) 19.1112 + 49.7774i 0.814903 + 2.12251i
\(551\) −0.131177 + 1.60483i −0.00558835 + 0.0683681i
\(552\) −20.4051 10.3923i −0.868500 0.442326i
\(553\) 0.00367492 0.0100968i 0.000156273 0.000429358i
\(554\) 1.10047 + 1.83124i 0.0467544 + 0.0778019i
\(555\) −15.0529 + 17.9393i −0.638960 + 0.761482i
\(556\) 9.21967 + 1.29461i 0.391001 + 0.0549038i
\(557\) −2.60992 + 14.8016i −0.110586 + 0.627163i 0.878256 + 0.478191i \(0.158707\pi\)
−0.988841 + 0.148972i \(0.952404\pi\)
\(558\) 0.762830 4.81819i 0.0322932 0.203970i
\(559\) 12.3058 + 21.3142i 0.520478 + 0.901495i
\(560\) 0.190469 0.0475379i 0.00804880 0.00200884i
\(561\) −7.82076 21.4873i −0.330193 0.907197i
\(562\) −15.1275 + 18.6831i −0.638113 + 0.788101i
\(563\) 12.7286 22.0466i 0.536448 0.929155i −0.462644 0.886544i \(-0.653099\pi\)
0.999092 0.0426108i \(-0.0135676\pi\)
\(564\) 27.7215 17.3269i 1.16729 0.729596i
\(565\) 14.3091 + 17.0530i 0.601989 + 0.717423i
\(566\) −13.3982 + 38.9189i −0.563170 + 1.63588i
\(567\) 0.138512 0.0244234i 0.00581696 0.00102569i
\(568\) −24.9987 + 23.3201i −1.04892 + 0.978488i
\(569\) 5.45023i 0.228485i 0.993453 + 0.114243i \(0.0364441\pi\)
−0.993453 + 0.114243i \(0.963556\pi\)
\(570\) −22.2848 45.0294i −0.933406 1.88607i
\(571\) 23.3280i 0.976248i 0.872774 + 0.488124i \(0.162319\pi\)
−0.872774 + 0.488124i \(0.837681\pi\)
\(572\) −20.9143 + 8.45283i −0.874469 + 0.353430i
\(573\) −37.4214 + 6.59840i −1.56330 + 0.275652i
\(574\) −0.134175 0.0461913i −0.00560037 0.00192799i
\(575\) −25.8355 30.7896i −1.07742 1.28401i
\(576\) −9.57797 + 4.67575i −0.399082 + 0.194823i
\(577\) 9.14162 15.8338i 0.380571 0.659168i −0.610573 0.791960i \(-0.709061\pi\)
0.991144 + 0.132792i \(0.0423942\pi\)
\(578\) −8.72076 7.06106i −0.362736 0.293702i
\(579\) 1.02396 + 2.81332i 0.0425545 + 0.116917i
\(580\) 2.55451 + 1.35786i 0.106070 + 0.0563822i
\(581\) 0.0312301 + 0.0540921i 0.00129564 + 0.00224412i
\(582\) 11.4774 + 1.81714i 0.475755 + 0.0753229i
\(583\) 0.979656 5.55590i 0.0405732 0.230102i
\(584\) 2.94081 + 12.7276i 0.121692 + 0.526672i
\(585\) 10.3660 12.3537i 0.428581 0.510762i
\(586\) 22.4241 13.4756i 0.926330 0.556671i
\(587\) −10.3417 + 28.4136i −0.426849 + 1.17276i 0.520866 + 0.853638i \(0.325609\pi\)
−0.947715 + 0.319118i \(0.896613\pi\)
\(588\) −21.6523 + 19.5005i −0.892925 + 0.804187i
\(589\) 9.20747 6.52579i 0.379387 0.268890i
\(590\) 21.6542 8.31376i 0.891490 0.342272i
\(591\) −7.21090 2.62455i −0.296617 0.107960i
\(592\) 0.804467 + 11.4649i 0.0330634 + 0.471205i
\(593\) −12.2887 10.3114i −0.504635 0.423439i 0.354601 0.935018i \(-0.384617\pi\)
−0.859237 + 0.511578i \(0.829061\pi\)
\(594\) 15.6664 + 8.68278i 0.642799 + 0.356259i
\(595\) −0.145525 0.0256599i −0.00596592 0.00105195i
\(596\) −7.76082 36.4903i −0.317895 1.49470i
\(597\) −35.1685 + 20.3046i −1.43935 + 0.831010i
\(598\) 12.8326 11.1566i 0.524764 0.456225i
\(599\) −7.44486 + 2.70971i −0.304189 + 0.110716i −0.489605 0.871944i \(-0.662859\pi\)
0.185416 + 0.982660i \(0.440637\pi\)
\(600\) −60.7490 + 3.19467i −2.48007 + 0.130422i
\(601\) −8.01633 4.62823i −0.326993 0.188789i 0.327512 0.944847i \(-0.393790\pi\)
−0.654505 + 0.756058i \(0.727123\pi\)
\(602\) −0.0269358 0.138528i −0.00109782 0.00564599i
\(603\) −9.51489 + 7.98394i −0.387476 + 0.325131i
\(604\) −23.8247 + 0.834838i −0.969415 + 0.0339691i
\(605\) 1.57286 + 8.92016i 0.0639461 + 0.362656i
\(606\) 18.8709 0.330524i 0.766576 0.0134266i
\(607\) 10.8462 0.440232 0.220116 0.975474i \(-0.429356\pi\)
0.220116 + 0.975474i \(0.429356\pi\)
\(608\) −23.2209 8.29405i −0.941731 0.336368i
\(609\) 0.00963669 0.000390498
\(610\) 17.7317 0.310571i 0.717935 0.0125747i
\(611\) 4.21539 + 23.9066i 0.170536 + 0.967159i
\(612\) 8.01790 0.280954i 0.324104 0.0113569i
\(613\) −0.997329 + 0.836858i −0.0402817 + 0.0338004i −0.662706 0.748879i \(-0.730592\pi\)
0.622425 + 0.782680i \(0.286148\pi\)
\(614\) −3.16674 16.2863i −0.127799 0.657260i
\(615\) 56.5085 + 32.6252i 2.27864 + 1.31558i
\(616\) 0.129168 0.00679273i 0.00520435 0.000273687i
\(617\) 42.4866 15.4639i 1.71045 0.622551i 0.713500 0.700655i \(-0.247109\pi\)
0.996945 + 0.0781039i \(0.0248866\pi\)
\(618\) 8.06914 7.01524i 0.324588 0.282194i
\(619\) −3.83161 + 2.21218i −0.154005 + 0.0889151i −0.575022 0.818138i \(-0.695007\pi\)
0.421017 + 0.907053i \(0.361673\pi\)
\(620\) −4.21809 19.8329i −0.169402 0.796506i
\(621\) −13.2967 2.34457i −0.533580 0.0940845i
\(622\) 21.6901 + 12.0213i 0.869693 + 0.482011i
\(623\) −0.0474644 0.0398273i −0.00190162 0.00159565i
\(624\) −1.80143 25.6732i −0.0721149 1.02775i
\(625\) −28.2932 10.2979i −1.13173 0.411915i
\(626\) −24.9515 + 9.57972i −0.997264 + 0.382882i
\(627\) −8.75026 31.9263i −0.349452 1.27501i
\(628\) 18.0007 16.2119i 0.718308 0.646923i
\(629\) 2.95887 8.12944i 0.117978 0.324142i
\(630\) −0.0792595 + 0.0476304i −0.00315777 + 0.00189764i
\(631\) 16.8681 20.1027i 0.671510 0.800275i −0.317479 0.948265i \(-0.602836\pi\)
0.988989 + 0.147991i \(0.0472806\pi\)
\(632\) 0.545879 + 2.36253i 0.0217139 + 0.0939762i
\(633\) −2.00267 + 11.3577i −0.0795990 + 0.451428i
\(634\) 25.8394 + 4.09097i 1.02621 + 0.162473i
\(635\) −21.6889 37.5663i −0.860699 1.49077i
\(636\) 5.68348 + 3.02108i 0.225365 + 0.119794i
\(637\) −7.40060 20.3330i −0.293223 0.805622i
\(638\) 1.48142 + 1.19948i 0.0586499 + 0.0474879i
\(639\) 8.05169 13.9459i 0.318520 0.551693i
\(640\) −30.2002 + 32.4130i −1.19377 + 1.28123i
\(641\) −12.9356 15.4160i −0.510925 0.608897i 0.447485 0.894291i \(-0.352320\pi\)
−0.958410 + 0.285395i \(0.907875\pi\)
\(642\) −12.0291 4.14114i −0.474750 0.163438i
\(643\) 13.0933 2.30869i 0.516348 0.0910460i 0.0905990 0.995887i \(-0.471122\pi\)
0.425749 + 0.904841i \(0.360011\pi\)
\(644\) −0.0903983 + 0.0365359i −0.00356219 + 0.00143972i
\(645\) 64.8913i 2.55509i
\(646\) 13.4255 + 12.8160i 0.528217 + 0.504238i
\(647\) 1.02886i 0.0404485i 0.999795 + 0.0202243i \(0.00643802\pi\)
−0.999795 + 0.0202243i \(0.993562\pi\)
\(648\) −23.2095 + 21.6510i −0.911754 + 0.850531i
\(649\) 15.0509 2.65387i 0.590798 0.104174i
\(650\) 14.7043 42.7126i 0.576749 1.67533i
\(651\) −0.0434153 0.0517403i −0.00170158 0.00202786i
\(652\) −7.63681 + 4.77328i −0.299080 + 0.186936i
\(653\) 16.8522 29.1890i 0.659479 1.14225i −0.321271 0.946987i \(-0.604110\pi\)
0.980751 0.195265i \(-0.0625566\pi\)
\(654\) −30.1307 + 37.2129i −1.17820 + 1.45514i
\(655\) 19.1348 + 52.5725i 0.747659 + 2.05418i
\(656\) 31.0704 7.75462i 1.21309 0.302767i
\(657\) −3.07656 5.32876i −0.120028 0.207895i
\(658\) 0.0217667 0.137483i 0.000848556 0.00535965i
\(659\) −3.56241 + 20.2034i −0.138772 + 0.787015i 0.833387 + 0.552690i \(0.186399\pi\)
−0.972159 + 0.234324i \(0.924712\pi\)
\(660\) −58.8987 8.27047i −2.29263 0.321928i
\(661\) −6.85599 + 8.17065i −0.266667 + 0.317802i −0.882716 0.469906i \(-0.844288\pi\)
0.616049 + 0.787708i \(0.288732\pi\)
\(662\) 4.09587 + 6.81575i 0.159190 + 0.264901i
\(663\) −6.62575 + 18.2041i −0.257323 + 0.706989i
\(664\) −12.5603 6.39692i −0.487432 0.248249i
\(665\) −0.206949 0.0541876i −0.00802516 0.00210131i
\(666\) −1.94039 5.05398i −0.0751885 0.195838i
\(667\) −1.35020 0.491434i −0.0522801 0.0190284i
\(668\) −0.960689 0.750387i −0.0371702 0.0290333i
\(669\) −3.78041 3.17214i −0.146159 0.122642i
\(670\) −25.0268 + 45.1560i −0.966871 + 1.74453i
\(671\) 11.5074 + 2.02907i 0.444238 + 0.0783312i
\(672\) −0.0381518 + 0.142555i −0.00147174 + 0.00549919i
\(673\) 9.63086 5.56038i 0.371243 0.214337i −0.302759 0.953067i \(-0.597908\pi\)
0.674001 + 0.738730i \(0.264574\pi\)
\(674\) 17.2382 + 19.8279i 0.663992 + 0.763743i
\(675\) −33.7054 + 12.2678i −1.29732 + 0.472186i
\(676\) −6.55205 2.12802i −0.252002 0.0818469i
\(677\) 35.8298 + 20.6863i 1.37705 + 0.795040i 0.991803 0.127774i \(-0.0407833\pi\)
0.385246 + 0.922814i \(0.374117\pi\)
\(678\) −16.4265 + 3.19401i −0.630855 + 0.122665i
\(679\) 0.0379028 0.0318042i 0.00145458 0.00122053i
\(680\) 30.6939 13.0353i 1.17706 0.499881i
\(681\) −8.91464 50.5574i −0.341610 1.93736i
\(682\) −0.233962 13.3578i −0.00895887 0.511496i
\(683\) −9.92340 −0.379708 −0.189854 0.981812i \(-0.560801\pi\)
−0.189854 + 0.981812i \(0.560801\pi\)
\(684\) 11.6021 + 0.540251i 0.443617 + 0.0206570i
\(685\) −8.64402 −0.330271
\(686\) 0.00434563 + 0.248109i 0.000165917 + 0.00947284i
\(687\) 6.32702 + 35.8823i 0.241391 + 1.36900i
\(688\) 22.1284 + 22.9037i 0.843638 + 0.873194i
\(689\) −3.66137 + 3.07226i −0.139487 + 0.117044i
\(690\) 44.0095 8.55732i 1.67541 0.325772i
\(691\) −33.6096 19.4045i −1.27857 0.738182i −0.301984 0.953313i \(-0.597649\pi\)
−0.976585 + 0.215130i \(0.930982\pi\)
\(692\) −1.26366 + 3.89073i −0.0480371 + 0.147903i
\(693\) −0.0572527 + 0.0208383i −0.00217485 + 0.000791581i
\(694\) −19.5758 22.5167i −0.743088 0.854721i
\(695\) −15.7860 + 9.11405i −0.598797 + 0.345716i
\(696\) −1.82366 + 1.18476i −0.0691255 + 0.0449083i
\(697\) −23.7387 4.18578i −0.899168 0.158548i
\(698\) −9.62793 + 17.3717i −0.364423 + 0.657529i
\(699\) −1.65871 1.39182i −0.0627381 0.0526435i
\(700\) −0.159445 + 0.204131i −0.00602645 + 0.00771541i
\(701\) −9.41264 3.42592i −0.355511 0.129395i 0.158090 0.987425i \(-0.449466\pi\)
−0.513601 + 0.858029i \(0.671689\pi\)
\(702\) −5.43899 14.1665i −0.205281 0.534680i
\(703\) 5.22812 11.3809i 0.197182 0.429239i
\(704\) −23.6088 + 17.1658i −0.889792 + 0.646960i
\(705\) −21.8911 + 60.1452i −0.824465 + 2.26520i
\(706\) −8.08128 13.4477i −0.304143 0.506110i
\(707\) 0.0516562 0.0615615i 0.00194273 0.00231526i
\(708\) −2.42461 + 17.2670i −0.0911226 + 0.648935i
\(709\) 8.31894 47.1790i 0.312424 1.77185i −0.273889 0.961761i \(-0.588310\pi\)
0.586313 0.810085i \(-0.300579\pi\)
\(710\) 10.4669 66.1109i 0.392815 2.48110i
\(711\) −0.571077 0.989135i −0.0214171 0.0370955i
\(712\) 13.8787 + 1.70155i 0.520126 + 0.0637685i
\(713\) 3.44439 + 9.46338i 0.128993 + 0.354406i
\(714\) 0.0699007 0.0863308i 0.00261597 0.00323085i
\(715\) 22.0828 38.2485i 0.825850 1.43041i
\(716\) 23.8125 + 38.0978i 0.889916 + 1.42378i
\(717\) 7.78173 + 9.27390i 0.290614 + 0.346340i
\(718\) 3.33185 9.67829i 0.124344 0.361191i
\(719\) −33.5360 + 5.91330i −1.25068 + 0.220529i −0.759487 0.650522i \(-0.774550\pi\)
−0.491193 + 0.871051i \(0.663439\pi\)
\(720\) 9.14332 18.7580i 0.340752 0.699070i
\(721\) 0.0455268i 0.00169550i
\(722\) 17.8599 + 20.0754i 0.664678 + 0.747130i
\(723\) 22.4364i 0.834419i
\(724\) 19.0028 + 47.0173i 0.706233 + 1.74738i
\(725\) −3.75911 + 0.662832i −0.139610 + 0.0246170i
\(726\) −6.43810 2.21638i −0.238940 0.0822577i
\(727\) −1.87961 2.24003i −0.0697107 0.0830780i 0.730062 0.683381i \(-0.239491\pi\)
−0.799773 + 0.600303i \(0.795047\pi\)
\(728\) −0.0875287 0.0659329i −0.00324403 0.00244364i
\(729\) −3.36209 + 5.82332i −0.124522 + 0.215678i
\(730\) −19.8770 16.0941i −0.735681 0.595670i
\(731\) −8.19900 22.5266i −0.303251 0.833175i
\(732\) −6.25728 + 11.7716i −0.231276 + 0.435092i
\(733\) 16.3253 + 28.2763i 0.602989 + 1.04441i 0.992366 + 0.123329i \(0.0393570\pi\)
−0.389377 + 0.921078i \(0.627310\pi\)
\(734\) 16.9900 + 2.68990i 0.627111 + 0.0992861i
\(735\) 9.90681 56.1843i 0.365418 2.07239i
\(736\) 12.6152 18.0279i 0.465004 0.664518i
\(737\) −21.8654 + 26.0582i −0.805424 + 0.959867i
\(738\) −12.9292 + 7.76971i −0.475931 + 0.286007i
\(739\) −8.80642 + 24.1954i −0.323949 + 0.890044i 0.665659 + 0.746256i \(0.268150\pi\)
−0.989609 + 0.143788i \(0.954072\pi\)
\(740\) −15.0589 16.7205i −0.553575 0.614659i
\(741\) −11.7072 + 25.4851i −0.430076 + 0.936218i
\(742\) 0.0255853 0.00982303i 0.000939265 0.000360615i
\(743\) 6.00559 + 2.18585i 0.220324 + 0.0801912i 0.449824 0.893117i \(-0.351487\pi\)
−0.229500 + 0.973309i \(0.573709\pi\)
\(744\) 14.5770 + 4.45378i 0.534420 + 0.163284i
\(745\) 55.9531 + 46.9502i 2.04996 + 1.72012i
\(746\) 16.1675 + 8.96055i 0.591936 + 0.328069i
\(747\) 6.53858 + 1.15293i 0.239234 + 0.0421834i
\(748\) 21.4912 4.57080i 0.785798 0.167125i
\(749\) −0.0469117 + 0.0270845i −0.00171412 + 0.000989646i
\(750\) 46.3911 40.3321i 1.69397 1.47272i
\(751\) −13.2775 + 4.83260i −0.484501 + 0.176344i −0.572710 0.819758i \(-0.694108\pi\)
0.0882089 + 0.996102i \(0.471886\pi\)
\(752\) 12.7834 + 28.6935i 0.466163 + 1.04634i
\(753\) −41.5495 23.9886i −1.51415 0.874194i
\(754\) −0.308229 1.58519i −0.0112250 0.0577293i
\(755\) 35.7549 30.0019i 1.30125 1.09188i
\(756\) 0.00304710 + 0.0869587i 0.000110822 + 0.00316266i
\(757\) −8.05808 45.6996i −0.292876 1.66098i −0.675713 0.737165i \(-0.736164\pi\)
0.382837 0.923816i \(-0.374947\pi\)
\(758\) 1.70635 0.0298868i 0.0619774 0.00108554i
\(759\) 29.5403 1.07224
\(760\) 45.8253 15.1884i 1.66226 0.550943i
\(761\) −21.5443 −0.780979 −0.390489 0.920607i \(-0.627694\pi\)
−0.390489 + 0.920607i \(0.627694\pi\)
\(762\) 32.6031 0.571045i 1.18109 0.0206868i
\(763\) 0.0354027 + 0.200779i 0.00128167 + 0.00726869i
\(764\) −1.27864 36.4899i −0.0462595 1.32016i
\(765\) −12.0328 + 10.0967i −0.435047 + 0.365048i
\(766\) 0.222443 + 1.14401i 0.00803720 + 0.0413346i
\(767\) −11.2131 6.47391i −0.404883 0.233759i
\(768\) −10.3063 31.6678i −0.371896 1.14271i
\(769\) −15.8951 + 5.78536i −0.573193 + 0.208625i −0.612321 0.790609i \(-0.709764\pi\)
0.0391282 + 0.999234i \(0.487542\pi\)
\(770\) −0.191117 + 0.166156i −0.00688739 + 0.00598784i
\(771\) −54.0148 + 31.1854i −1.94529 + 1.12312i
\(772\) −2.81383 + 0.598450i −0.101272 +