Properties

Label 76.2.k.a.71.8
Level $76$
Weight $2$
Character 76.71
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 71.8
Character \(\chi\) \(=\) 76.71
Dual form 76.2.k.a.15.8

$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

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 0.682878 + 0.730532i \(0.260728\pi\)
−0.891553 + 0.452917i \(0.850383\pi\)
\(4\) 1.99877 + 0.0700386i 0.999387 + 0.0350193i
\(5\) −2.99965 2.51700i −1.34148 1.12564i −0.981242 0.192779i \(-0.938250\pi\)
−0.360241 0.932859i \(-0.617306\pi\)
\(6\) −0.561832 + 2.88945i −0.229367 + 1.17961i
\(7\) −0.0108543 + 0.00626673i −0.00410253 + 0.00236860i −0.502050 0.864839i \(-0.667421\pi\)
0.497947 + 0.867207i \(0.334087\pi\)
\(8\) 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 −0.0588096 0.998269i \(-0.518730\pi\)
−0.893931 + 0.448204i \(0.852064\pi\)
\(12\) −0.865990 + 4.07176i −0.249990 + 1.17542i
\(13\) 3.04424 0.536781i 0.844320 0.148876i 0.265276 0.964173i \(-0.414537\pi\)
0.579044 + 0.815296i \(0.303426\pi\)
\(14\) −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 −0.661513 0.749934i \(-0.730085\pi\)
−0.0247002 + 0.999695i \(0.507863\pi\)
\(18\) −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 0.960896 0.276908i \(-0.0893098\pi\)
−0.439559 + 0.898214i \(0.644865\pi\)
\(24\) −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 −0.950870 0.309589i \(-0.899808\pi\)
0.927409 + 0.374049i \(0.122031\pi\)
\(30\) 8.95806 7.25320i 1.63551 1.32425i
\(31\) −1.29454 2.24221i −0.232506 0.402713i 0.726039 0.687654i \(-0.241359\pi\)
−0.958545 + 0.284941i \(0.908026\pi\)
\(32\) 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 \(-0.924104\pi\)
0.971709 0.236182i \(-0.0758961\pi\)
\(38\) −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 0.751188 0.660088i \(-0.229481\pi\)
0.480122 + 0.877201i \(0.340592\pi\)
\(42\) −0.0120091 0.0348838i −0.00185305 0.00538268i
\(43\) 5.11775 6.09909i 0.780449 0.930103i −0.218505 0.975836i \(-0.570118\pi\)
0.998954 + 0.0457330i \(0.0145623\pi\)
\(44\) −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 −0.574408 0.818569i \(-0.694768\pi\)
0.966188 0.257838i \(-0.0830102\pi\)
\(48\) −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 0.693454 0.720501i \(-0.256088\pi\)
−0.829972 + 0.557805i \(0.811644\pi\)
\(54\) −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 −0.585273 0.810836i \(-0.699013\pi\)
0.0728499 + 0.997343i \(0.476791\pi\)
\(60\) 12.8463 10.0341i 1.65845 1.29540i
\(61\) −2.45324 + 2.05851i −0.314105 + 0.263565i −0.786186 0.617990i \(-0.787947\pi\)
0.472081 + 0.881555i \(0.343503\pi\)
\(62\) −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 0.816283 0.577653i \(-0.196031\pi\)
0.254001 + 0.967204i \(0.418253\pi\)
\(68\) −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 −0.101512 0.994834i \(-0.532368\pi\)
−0.997348 + 0.0727811i \(0.976813\pi\)
\(72\) −3.46846 1.47301i −0.408762 0.173596i
\(73\) 0.801985 4.54828i 0.0938653 0.532336i −0.901224 0.433354i \(-0.857330\pi\)
0.995089 0.0989826i \(-0.0315588\pi\)
\(74\) 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 −0.975288 0.220940i \(-0.929088\pi\)
0.992036 + 0.125953i \(0.0401988\pi\)
\(80\) −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 −0.717797 0.696253i \(-0.754849\pi\)
0.244074 + 0.969757i \(0.421516\pi\)
\(84\) −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 0.0904478 0.995901i \(-0.471170\pi\)
0.425611 + 0.904906i \(0.360059\pi\)
\(90\) 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 0.852081 0.523410i \(-0.175340\pi\)
−0.989173 + 0.146752i \(0.953118\pi\)
\(98\) −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 −0.988750 0.149580i \(-0.952208\pi\)
0.877961 0.478732i \(-0.158903\pi\)
\(102\) −1.38592 8.75378i −0.137227 0.866753i
\(103\) 1.81621 3.14577i 0.178956 0.309962i −0.762567 0.646909i \(-0.776061\pi\)
0.941523 + 0.336948i \(0.109395\pi\)
\(104\) 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 0.951371 0.308047i \(-0.0996753\pi\)
−0.742462 + 0.669888i \(0.766342\pi\)
\(108\) −3.67961 + 5.88704i −0.354071 + 0.566481i
\(109\) −10.4560 + 12.4609i −1.00150 + 1.19354i −0.0204473 + 0.999791i \(0.506509\pi\)
−0.981051 + 0.193748i \(0.937935\pi\)
\(110\) 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 \(0.0861642\pi\)
−0.963586 + 0.267399i \(0.913836\pi\)
\(114\) −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 −0.942997 0.332802i \(-0.892006\pi\)
0.772302 0.635256i \(-0.219105\pi\)
\(128\) 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 0.947657 + 0.319290i \(0.103444\pi\)
−0.520712 + 0.853733i \(0.674333\pi\)
\(132\) 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 −0.567686 0.823245i \(-0.692161\pi\)
0.712161 + 0.702016i \(0.247717\pi\)
\(138\) −10.0143 + 5.55026i −0.852477 + 0.472469i
\(139\) 4.58434 0.808342i 0.388838 0.0685627i 0.0241886 0.999707i \(-0.492300\pi\)
0.364650 + 0.931145i \(0.381189\pi\)
\(140\) 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 0.502659 + 0.864485i \(0.332355\pi\)
−0.768016 + 0.640430i \(0.778756\pi\)
\(150\) −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 0.932978 0.359934i \(-0.117201\pi\)
−0.192456 + 0.981306i \(0.561645\pi\)
\(158\) 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 0.339442 0.940627i \(-0.389762\pi\)
−0.644886 + 0.764279i \(0.723095\pi\)
\(164\) 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 −0.660674 0.750673i \(-0.729729\pi\)
0.624544 + 0.780990i \(0.285285\pi\)
\(168\) −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 0.910254 0.414050i \(-0.135886\pi\)
−0.963441 + 0.267919i \(0.913664\pi\)
\(174\) −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 −0.0507946 0.998709i \(-0.516175\pi\)
0.890305 0.455365i \(-0.150491\pi\)
\(180\) 4.89730 + 9.21315i 0.365023 + 0.686708i
\(181\) 8.67231 23.8270i 0.644607 1.77104i 0.00786332 0.999969i \(-0.497497\pi\)
0.636744 0.771075i \(-0.280281\pi\)
\(182\) −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 \(0.229649\pi\)
−0.750839 + 0.660485i \(0.770351\pi\)
\(192\) −4.59548 + 16.0046i −0.331651 + 1.15503i
\(193\) −1.41653 0.249772i −0.101964 0.0179790i 0.122433 0.992477i \(-0.460930\pi\)
−0.224397 + 0.974498i \(0.572041\pi\)
\(194\) −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 0.924192 0.381929i \(-0.124740\pi\)
−0.792856 + 0.609409i \(0.791407\pi\)
\(198\) 4.32608 + 5.34292i 0.307441 + 0.379705i
\(199\) −6.67292 + 18.3337i −0.473031 + 1.29964i 0.442274 + 0.896880i \(0.354172\pi\)
−0.915305 + 0.402762i \(0.868050\pi\)
\(200\) 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 −0.514965 0.857211i \(-0.672195\pi\)
0.156518 + 0.987675i \(0.449973\pi\)
\(212\) −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 0.701572 0.712598i \(-0.252482\pi\)
−0.579946 + 0.814655i \(0.696926\pi\)
\(224\) −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 0.668518 0.743696i \(-0.266929\pi\)
−0.616311 + 0.787503i \(0.711373\pi\)
\(234\) −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 0.328162 0.944621i \(-0.393571\pi\)
−0.653985 + 0.756508i \(0.726904\pi\)
\(240\) 26.3796 19.1563i 1.70280 1.23653i
\(241\) 10.6156 1.87182i 0.683813 0.120575i 0.179060 0.983838i \(-0.442695\pi\)
0.504753 + 0.863264i \(0.331583\pi\)
\(242\) 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 0.993224 + 0.116219i \(0.0370774\pi\)
−0.0580182 + 0.998316i \(0.518478\pi\)
\(252\) 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 0.0145929 + 0.999894i \(0.495355\pi\)
−0.653898 + 0.756583i \(0.726867\pi\)
\(258\) 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 −0.799545 0.600607i \(-0.794926\pi\)
−0.956746 + 0.290925i \(0.906037\pi\)
\(264\) 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 −0.552258 0.833673i \(-0.686234\pi\)
−0.804086 + 0.594513i \(0.797345\pi\)
\(270\) 18.1756 6.25715i 1.10613 0.380798i
\(271\) 11.2567 13.4152i 0.683794 0.814914i −0.306796 0.951775i \(-0.599257\pi\)
0.990590 + 0.136861i \(0.0437014\pi\)
\(272\) −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 −0.842441 0.538789i \(-0.818882\pi\)
0.887825 + 0.460180i \(0.152215\pi\)
\(278\) 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 0.334370 0.942442i \(-0.391477\pi\)
−0.986187 + 0.165637i \(0.947032\pi\)
\(282\) 19.8136 + 11.9068i 1.17988 + 0.709042i
\(283\) −9.95447 27.3497i −0.591732 1.62577i −0.767290 0.641301i \(-0.778395\pi\)
0.175558 0.984469i \(-0.443827\pi\)
\(284\) −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 0.888684 0.458520i \(-0.151620\pi\)
0.0472521 + 0.998883i \(0.484954\pi\)
\(294\) −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 0.869844 + 0.493326i \(0.164219\pi\)
−0.986114 + 0.166071i \(0.946892\pi\)
\(308\) 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 −0.00326795 0.999995i \(-0.501040\pi\)
0.864387 + 0.502827i \(0.167707\pi\)
\(312\) −0.955694 + 18.1732i −0.0541055 + 1.02885i
\(313\) −17.7593 6.46387i −1.00382 0.365359i −0.212761 0.977104i \(-0.568246\pi\)
−0.791055 + 0.611745i \(0.790468\pi\)
\(314\) 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 0.363228 0.931700i \(-0.381675\pi\)
0.659983 + 0.751281i \(0.270564\pi\)
\(318\) 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 −0.778360 0.627819i \(-0.783948\pi\)
0.932887 + 0.360170i \(0.117281\pi\)
\(332\) −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 −0.335476 0.942049i \(-0.608897\pi\)
0.985992 + 0.166795i \(0.0533417\pi\)
\(338\) −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 −0.995382 0.0959889i \(-0.969399\pi\)
0.267377 + 0.963592i \(0.413843\pi\)
\(348\) −1.30399 0.815042i −0.0699013 0.0436909i
\(349\) −7.02205 12.1625i −0.375882 0.651046i 0.614577 0.788857i \(-0.289327\pi\)
−0.990459 + 0.137811i \(0.955993\pi\)
\(350\) −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 −0.975039 0.222033i \(-0.928731\pi\)
0.679806 + 0.733392i \(0.262064\pi\)
\(354\) −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 0.987718 0.156245i \(-0.0499389\pi\)
−0.857068 + 0.515203i \(0.827717\pi\)
\(360\) 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 0.147973 0.988991i \(-0.452725\pi\)
0.477304 + 0.878738i \(0.341614\pi\)
\(368\) 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 −0.177454 0.984129i \(-0.556786\pi\)
0.763554 + 0.645744i \(0.223453\pi\)
\(374\) 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 −0.980933 0.194344i \(-0.937742\pi\)
0.988246 + 0.152875i \(0.0488532\pi\)
\(384\) −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 −0.330030 0.943970i \(-0.607059\pi\)
−0.859590 + 0.510984i \(0.829281\pi\)
\(390\) 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 −0.113482 0.993540i \(-0.536201\pi\)
0.551703 + 0.834041i \(0.313978\pi\)
\(398\) −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 0.920061 0.391776i \(-0.128139\pi\)
−0.956636 + 0.291285i \(0.905917\pi\)
\(402\) −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 −0.534350 0.845264i \(-0.679443\pi\)
0.952661 0.304036i \(-0.0983343\pi\)
\(410\) −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 \(-0.852840\pi\)
0.895022 0.446022i \(-0.147160\pi\)
\(420\) −0.0765562 + 0.189418i −0.00373556 + 0.00924264i
\(421\) 2.37505 + 0.418786i 0.115753 + 0.0204104i 0.231225 0.972900i \(-0.425727\pi\)
−0.115472 + 0.993311i \(0.536838\pi\)
\(422\) −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 −0.894479 0.447111i \(-0.852453\pi\)
0.687614 0.726076i \(-0.258658\pi\)
\(432\) −7.76703 + 11.5091i −0.373691 + 0.553734i
\(433\) 20.5038 + 24.4355i 0.985352 + 1.17430i 0.984693 + 0.174297i \(0.0557651\pi\)
0.000658384 1.00000i \(0.499790\pi\)
\(434\) 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 0.139266 0.990255i \(-0.455526\pi\)
0.743207 + 0.669061i \(0.233304\pi\)
\(440\) 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 −0.0508345 0.998707i \(-0.516188\pi\)
0.293809 + 0.955864i \(0.405077\pi\)
\(444\) 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 −0.142765 0.989757i \(-0.545599\pi\)
0.785772 + 0.618517i \(0.212266\pi\)
\(450\) 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 −0.998429 0.0560360i \(-0.982154\pi\)
−0.228560 0.973530i \(-0.573402\pi\)
\(462\) −0.0256932 + 0.132138i −0.00119535 + 0.00614760i
\(463\) 5.85991 3.38322i 0.272333 0.157232i −0.357614 0.933869i \(-0.616410\pi\)
0.629948 + 0.776638i \(0.283076\pi\)
\(464\) −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 0.993845 + 0.110783i \(0.0353358\pi\)
0.592863 + 0.805303i \(0.297998\pi\)
\(468\) −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 0.845937 0.533283i \(-0.179042\pi\)
−0.672077 + 0.740482i \(0.734597\pi\)
\(480\) 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 0.997125 0.0757763i \(-0.0241435\pi\)
−0.564187 + 0.825647i \(0.690810\pi\)
\(488\) −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 0.401608 0.915812i \(-0.368451\pi\)
0.0641624 + 0.997939i \(0.479562\pi\)
\(492\) −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 −0.247232 + 0.968956i \(0.579521\pi\)
−0.911304 + 0.411733i \(0.864923\pi\)
\(500\) 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 0.524443 + 0.851445i \(0.324273\pi\)
−0.949045 + 0.315139i \(0.897949\pi\)
\(504\) 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 0.999572 0.0292691i \(-0.00931798\pi\)
−0.202398 + 0.979303i \(0.564874\pi\)
\(510\) −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 0.497708 0.867345i \(-0.334175\pi\)
−0.502288 + 0.864700i \(0.667508\pi\)
\(522\) 0.456652 0.525255i 0.0199871 0.0229898i
\(523\) 16.0259 + 5.83294i 0.700763 + 0.255057i 0.667737 0.744398i \(-0.267263\pi\)
0.0330262 + 0.999454i \(0.489486\pi\)
\(524\) 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 0.971095 0.238694i \(-0.0767193\pi\)
0.590472 + 0.807058i \(0.298942\pi\)
\(542\) 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 −0.314422 + 0.949283i \(0.601811\pi\)
−0.989460 + 0.144804i \(0.953745\pi\)
\(548\) 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 −0.988841 0.148972i \(-0.952404\pi\)
0.878256 0.478191i \(-0.158707\pi\)
\(558\) 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 0.999092 + 0.0426108i \(0.0135676\pi\)
−0.462644 + 0.886544i \(0.653099\pi\)
\(564\) 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 \(-0.963556\pi\)
0.993453 0.114243i \(-0.0364441\pi\)
\(570\) −22.2848 + 45.0294i −0.933406 + 1.88607i
\(571\) 23.3280i 0.976248i −0.872774 0.488124i \(-0.837681\pi\)
0.872774 0.488124i \(-0.162319\pi\)
\(572\) −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 0.991144 0.132792i \(-0.0423942\pi\)
−0.610573 + 0.791960i \(0.709061\pi\)
\(578\) −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 −0.947715 0.319118i \(-0.896613\pi\)
0.520866 0.853638i \(-0.325609\pi\)
\(588\) −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 −0.859237 0.511578i \(-0.829061\pi\)
0.354601 + 0.935018i \(0.384617\pi\)
\(594\) 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 0.185416 0.982660i \(-0.440637\pi\)
−0.489605 + 0.871944i \(0.662859\pi\)
\(600\) −60.7490 3.19467i −2.48007 0.130422i
\(601\) −8.01633 + 4.62823i −0.326993 + 0.188789i −0.654505 0.756058i \(-0.727123\pi\)
0.327512 + 0.944847i \(0.393790\pi\)
\(602\) −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 0.622425 0.782680i \(-0.286148\pi\)
−0.662706 + 0.748879i \(0.730592\pi\)
\(614\) −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 0.996945 0.0781039i \(-0.0248866\pi\)
0.713500 + 0.700655i \(0.247109\pi\)
\(618\) 8.06914 + 7.01524i 0.324588 + 0.282194i
\(619\) −3.83161 2.21218i −0.154005 0.0889151i 0.421017 0.907053i \(-0.361673\pi\)
−0.575022 + 0.818138i \(0.695007\pi\)
\(620\) −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 0.988989 0.147991i \(-0.0472806\pi\)
−0.317479 + 0.948265i \(0.602836\pi\)
\(632\) 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 −0.958410 0.285395i \(-0.907875\pi\)
0.447485 + 0.894291i \(0.352320\pi\)
\(642\) −12.0291 + 4.14114i −0.474750 + 0.163438i
\(643\) 13.0933 + 2.30869i 0.516348 + 0.0910460i 0.425749 0.904841i \(-0.360011\pi\)
0.0905990 + 0.995887i \(0.471122\pi\)
\(644\) −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 \(-0.993562\pi\)
0.999795 0.0202243i \(-0.00643802\pi\)
\(648\) −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 0.980751 + 0.195265i \(0.0625566\pi\)
−0.321271 + 0.946987i \(0.604110\pi\)
\(654\) −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 −0.972159 0.234324i \(-0.924712\pi\)
0.833387 0.552690i \(-0.186399\pi\)
\(660\) −58.8987 + 8.27047i −2.29263 + 0.321928i
\(661\) −6.85599 8.17065i −0.266667 0.317802i 0.616049 0.787708i \(-0.288732\pi\)
−0.882716 + 0.469906i \(0.844288\pi\)
\(662\) 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 0.674001 0.738730i \(-0.264574\pi\)
−0.302759 + 0.953067i \(0.597908\pi\)
\(674\) 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 0.385246 0.922814i \(-0.374117\pi\)
0.991803 + 0.127774i \(0.0407833\pi\)
\(678\) −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 −0.976585 0.215130i \(-0.930982\pi\)
−0.301984 + 0.953313i \(0.597649\pi\)
\(692\) −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 −0.513601 0.858029i \(-0.671689\pi\)
0.158090 + 0.987425i \(0.449466\pi\)
\(702\) −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 0.586313 + 0.810085i \(0.300579\pi\)
−0.273889 + 0.961761i \(0.588310\pi\)
\(710\) 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 −0.491193 0.871051i \(-0.663439\pi\)
−0.759487 + 0.650522i \(0.774550\pi\)
\(720\) 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 −0.799773 0.600303i \(-0.795047\pi\)
0.730062 + 0.683381i \(0.239491\pi\)
\(728\) −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 −0.389377 0.921078i \(-0.627310\pi\)
0.992366 0.123329i \(-0.0393570\pi\)
\(734\) 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 −0.989609 0.143788i \(-0.954072\pi\)
0.665659 0.746256i \(-0.268150\pi\)
\(740\) −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 −0.229500 0.973309i \(-0.573709\pi\)
0.449824 + 0.893117i \(0.351487\pi\)
\(744\) 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 0.0882089 0.996102i \(-0.471886\pi\)
−0.572710 + 0.819758i \(0.694108\pi\)
\(752\) 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 0.382837 + 0.923816i \(0.374947\pi\)
−0.675713 + 0.737165i \(0.736164\pi\)
\(758\) 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 0.0391282 0.999234i \(-0.487542\pi\)
−0.612321 + 0.790609i \(0.709764\pi\)
\(770\) −0.191117 0.166156i −0.00688739 0.00598784i
\(771\) −54.0148 31.1854i −1.94529 1.12312i
\(772\) −2.81383 0.598450i −0.101272