Properties

Label 690.2.q.a.251.15
Level $690$
Weight $2$
Character 690.251
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 251.15
Character \(\chi\) \(=\) 690.251
Dual form 690.2.q.a.11.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 - 0.841254i) q^{2} +(1.37259 + 1.05641i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(1.63079 - 0.583554i) q^{6} +(2.43170 + 2.10708i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(0.767988 + 2.90003i) q^{9} +O(q^{10})\) \(q+(0.540641 - 0.841254i) q^{2} +(1.37259 + 1.05641i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(1.63079 - 0.583554i) q^{6} +(2.43170 + 2.10708i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(0.767988 + 2.90003i) q^{9} +(-0.755750 + 0.654861i) q^{10} +(-1.55820 + 1.00139i) q^{11} +(0.390753 - 1.68740i) q^{12} +(2.29242 + 2.64559i) q^{13} +(3.08727 - 0.906504i) q^{14} +(-1.01936 - 1.40032i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-1.24449 + 2.72506i) q^{17} +(2.85487 + 0.921804i) q^{18} +(5.86887 - 2.68022i) q^{19} +(0.142315 + 0.989821i) q^{20} +(1.11178 + 5.46103i) q^{21} +1.85223i q^{22} +(-1.94424 - 4.38405i) q^{23} +(-1.20827 - 1.24100i) q^{24} +(0.841254 + 0.540641i) q^{25} +(3.46499 - 0.498190i) q^{26} +(-2.00950 + 4.79186i) q^{27} +(0.906504 - 3.08727i) q^{28} +(2.52496 + 1.15311i) q^{29} +(-1.72913 + 0.100470i) q^{30} +(0.0402751 - 0.280119i) q^{31} +(0.281733 + 0.959493i) q^{32} +(-3.19664 - 0.271600i) q^{33} +(1.61964 + 2.52022i) q^{34} +(-1.73957 - 2.70682i) q^{35} +(2.31893 - 1.90330i) q^{36} +(-0.359153 - 1.22316i) q^{37} +(0.918203 - 6.38624i) q^{38} +(0.351709 + 6.05304i) q^{39} +(0.909632 + 0.415415i) q^{40} +(3.28080 - 11.1734i) q^{41} +(5.19519 + 2.01717i) q^{42} +(-4.25540 + 0.611834i) q^{43} +(1.55820 + 1.00139i) q^{44} +(0.0801545 - 2.99893i) q^{45} +(-4.73924 - 0.734595i) q^{46} +5.38966i q^{47} +(-1.69724 + 0.345529i) q^{48} +(0.477179 + 3.31885i) q^{49} +(0.909632 - 0.415415i) q^{50} +(-4.58697 + 2.42569i) q^{51} +(1.45421 - 3.18428i) q^{52} +(4.11043 - 4.74369i) q^{53} +(2.94475 + 4.28117i) q^{54} +(1.77720 - 0.521834i) q^{55} +(-2.10708 - 2.43170i) q^{56} +(10.8869 + 2.52110i) q^{57} +(2.33515 - 1.50071i) q^{58} +(3.68683 - 3.19466i) q^{59} +(-0.850320 + 1.50896i) q^{60} +(-8.76249 - 1.25986i) q^{61} +(-0.213877 - 0.185326i) q^{62} +(-4.24309 + 8.67024i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-1.45421 - 3.18428i) q^{65} +(-1.95672 + 2.54235i) q^{66} +(-3.59050 + 5.58693i) q^{67} +2.99579 q^{68} +(1.96272 - 8.07141i) q^{69} -3.21761 q^{70} +(-2.11429 + 3.28990i) q^{71} +(-0.347453 - 2.97981i) q^{72} +(2.20194 + 4.82158i) q^{73} +(-1.22316 - 0.359153i) q^{74} +(0.583554 + 1.63079i) q^{75} +(-4.87603 - 4.22510i) q^{76} +(-5.89909 - 0.848161i) q^{77} +(5.28229 + 2.97665i) q^{78} +(4.05792 - 3.51621i) q^{79} +(0.841254 - 0.540641i) q^{80} +(-7.82039 + 4.45438i) q^{81} +(-7.62591 - 8.80077i) q^{82} +(-11.1958 + 3.28739i) q^{83} +(4.50568 - 3.27990i) q^{84} +(1.96182 - 2.26406i) q^{85} +(-1.78593 + 3.91065i) q^{86} +(2.24756 + 4.25014i) q^{87} +(1.68485 - 0.769445i) q^{88} +(0.253774 + 1.76504i) q^{89} +(-2.47952 - 1.68877i) q^{90} +11.2636i q^{91} +(-3.18021 + 3.58975i) q^{92} +(0.351203 - 0.341941i) q^{93} +(4.53407 + 2.91387i) q^{94} +(-6.38624 + 0.918203i) q^{95} +(-0.626917 + 1.61461i) q^{96} +(2.61240 - 8.89702i) q^{97} +(3.04998 + 1.39288i) q^{98} +(-4.10075 - 3.74976i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.540641 0.841254i 0.382291 0.594856i
\(3\) 1.37259 + 1.05641i 0.792463 + 0.609920i
\(4\) −0.415415 0.909632i −0.207708 0.454816i
\(5\) −0.959493 0.281733i −0.429098 0.125995i
\(6\) 1.63079 0.583554i 0.665766 0.238235i
\(7\) 2.43170 + 2.10708i 0.919098 + 0.796403i 0.979432 0.201776i \(-0.0646712\pi\)
−0.0603342 + 0.998178i \(0.519217\pi\)
\(8\) −0.989821 0.142315i −0.349955 0.0503159i
\(9\) 0.767988 + 2.90003i 0.255996 + 0.966678i
\(10\) −0.755750 + 0.654861i −0.238989 + 0.207085i
\(11\) −1.55820 + 1.00139i −0.469814 + 0.301931i −0.754043 0.656825i \(-0.771899\pi\)
0.284229 + 0.958756i \(0.408262\pi\)
\(12\) 0.390753 1.68740i 0.112801 0.487110i
\(13\) 2.29242 + 2.64559i 0.635803 + 0.733755i 0.978627 0.205644i \(-0.0659290\pi\)
−0.342824 + 0.939400i \(0.611384\pi\)
\(14\) 3.08727 0.906504i 0.825107 0.242273i
\(15\) −1.01936 1.40032i −0.263198 0.361562i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) −1.24449 + 2.72506i −0.301834 + 0.660925i −0.998399 0.0565694i \(-0.981984\pi\)
0.696564 + 0.717494i \(0.254711\pi\)
\(18\) 2.85487 + 0.921804i 0.672899 + 0.217271i
\(19\) 5.86887 2.68022i 1.34641 0.614885i 0.393833 0.919182i \(-0.371149\pi\)
0.952577 + 0.304297i \(0.0984215\pi\)
\(20\) 0.142315 + 0.989821i 0.0318226 + 0.221331i
\(21\) 1.11178 + 5.46103i 0.242610 + 1.19170i
\(22\) 1.85223i 0.394897i
\(23\) −1.94424 4.38405i −0.405403 0.914138i
\(24\) −1.20827 1.24100i −0.246638 0.253318i
\(25\) 0.841254 + 0.540641i 0.168251 + 0.108128i
\(26\) 3.46499 0.498190i 0.679540 0.0977031i
\(27\) −2.00950 + 4.79186i −0.386728 + 0.922194i
\(28\) 0.906504 3.08727i 0.171313 0.583439i
\(29\) 2.52496 + 1.15311i 0.468873 + 0.214127i 0.635818 0.771839i \(-0.280663\pi\)
−0.166945 + 0.985966i \(0.553390\pi\)
\(30\) −1.72913 + 0.100470i −0.315695 + 0.0183433i
\(31\) 0.0402751 0.280119i 0.00723362 0.0503109i −0.985885 0.167424i \(-0.946455\pi\)
0.993119 + 0.117113i \(0.0373641\pi\)
\(32\) 0.281733 + 0.959493i 0.0498038 + 0.169616i
\(33\) −3.19664 0.271600i −0.556464 0.0472794i
\(34\) 1.61964 + 2.52022i 0.277767 + 0.432213i
\(35\) −1.73957 2.70682i −0.294041 0.457536i
\(36\) 2.31893 1.90330i 0.386488 0.317217i
\(37\) −0.359153 1.22316i −0.0590443 0.201087i 0.924688 0.380725i \(-0.124325\pi\)
−0.983733 + 0.179638i \(0.942507\pi\)
\(38\) 0.918203 6.38624i 0.148952 1.03599i
\(39\) 0.351709 + 6.05304i 0.0563184 + 0.969263i
\(40\) 0.909632 + 0.415415i 0.143825 + 0.0656829i
\(41\) 3.28080 11.1734i 0.512375 1.74499i −0.143037 0.989717i \(-0.545687\pi\)
0.655412 0.755272i \(-0.272495\pi\)
\(42\) 5.19519 + 2.01717i 0.801635 + 0.311256i
\(43\) −4.25540 + 0.611834i −0.648942 + 0.0933038i −0.458922 0.888476i \(-0.651764\pi\)
−0.190020 + 0.981780i \(0.560855\pi\)
\(44\) 1.55820 + 1.00139i 0.234907 + 0.150966i
\(45\) 0.0801545 2.99893i 0.0119487 0.447054i
\(46\) −4.73924 0.734595i −0.698762 0.108310i
\(47\) 5.38966i 0.786162i 0.919504 + 0.393081i \(0.128591\pi\)
−0.919504 + 0.393081i \(0.871409\pi\)
\(48\) −1.69724 + 0.345529i −0.244975 + 0.0498728i
\(49\) 0.477179 + 3.31885i 0.0681685 + 0.474122i
\(50\) 0.909632 0.415415i 0.128641 0.0587486i
\(51\) −4.58697 + 2.42569i −0.642304 + 0.339664i
\(52\) 1.45421 3.18428i 0.201663 0.441580i
\(53\) 4.11043 4.74369i 0.564611 0.651595i −0.399614 0.916684i \(-0.630856\pi\)
0.964224 + 0.265088i \(0.0854011\pi\)
\(54\) 2.94475 + 4.28117i 0.400730 + 0.582594i
\(55\) 1.77720 0.521834i 0.239638 0.0703641i
\(56\) −2.10708 2.43170i −0.281571 0.324950i
\(57\) 10.8869 + 2.52110i 1.44201 + 0.333928i
\(58\) 2.33515 1.50071i 0.306621 0.197053i
\(59\) 3.68683 3.19466i 0.479985 0.415909i −0.380972 0.924586i \(-0.624411\pi\)
0.860957 + 0.508677i \(0.169865\pi\)
\(60\) −0.850320 + 1.50896i −0.109776 + 0.194806i
\(61\) −8.76249 1.25986i −1.12192 0.161308i −0.443707 0.896172i \(-0.646337\pi\)
−0.678215 + 0.734864i \(0.737246\pi\)
\(62\) −0.213877 0.185326i −0.0271624 0.0235364i
\(63\) −4.24309 + 8.67024i −0.534579 + 1.09235i
\(64\) 0.959493 + 0.281733i 0.119937 + 0.0352166i
\(65\) −1.45421 3.18428i −0.180373 0.394961i
\(66\) −1.95672 + 2.54235i −0.240856 + 0.312941i
\(67\) −3.59050 + 5.58693i −0.438650 + 0.682553i −0.988245 0.152879i \(-0.951146\pi\)
0.549595 + 0.835431i \(0.314782\pi\)
\(68\) 2.99579 0.363292
\(69\) 1.96272 8.07141i 0.236284 0.971684i
\(70\) −3.21761 −0.384577
\(71\) −2.11429 + 3.28990i −0.250920 + 0.390439i −0.943749 0.330663i \(-0.892728\pi\)
0.692829 + 0.721102i \(0.256364\pi\)
\(72\) −0.347453 2.97981i −0.0409478 0.351174i
\(73\) 2.20194 + 4.82158i 0.257718 + 0.564323i 0.993622 0.112763i \(-0.0359700\pi\)
−0.735904 + 0.677086i \(0.763243\pi\)
\(74\) −1.22316 0.359153i −0.142190 0.0417506i
\(75\) 0.583554 + 1.63079i 0.0673830 + 0.188307i
\(76\) −4.87603 4.22510i −0.559319 0.484653i
\(77\) −5.89909 0.848161i −0.672264 0.0966569i
\(78\) 5.28229 + 2.97665i 0.598102 + 0.337039i
\(79\) 4.05792 3.51621i 0.456552 0.395604i −0.395997 0.918252i \(-0.629601\pi\)
0.852549 + 0.522647i \(0.175056\pi\)
\(80\) 0.841254 0.540641i 0.0940550 0.0604455i
\(81\) −7.82039 + 4.45438i −0.868932 + 0.494931i
\(82\) −7.62591 8.80077i −0.842141 0.971883i
\(83\) −11.1958 + 3.28739i −1.22890 + 0.360838i −0.830835 0.556518i \(-0.812137\pi\)
−0.398067 + 0.917356i \(0.630319\pi\)
\(84\) 4.50568 3.27990i 0.491610 0.357867i
\(85\) 1.96182 2.26406i 0.212790 0.245572i
\(86\) −1.78593 + 3.91065i −0.192582 + 0.421696i
\(87\) 2.24756 + 4.25014i 0.240964 + 0.455663i
\(88\) 1.68485 0.769445i 0.179606 0.0820231i
\(89\) 0.253774 + 1.76504i 0.0269000 + 0.187094i 0.998841 0.0481310i \(-0.0153265\pi\)
−0.971941 + 0.235225i \(0.924417\pi\)
\(90\) −2.47952 1.68877i −0.261365 0.178012i
\(91\) 11.2636i 1.18075i
\(92\) −3.18021 + 3.58975i −0.331559 + 0.374257i
\(93\) 0.351203 0.341941i 0.0364180 0.0354576i
\(94\) 4.53407 + 2.91387i 0.467654 + 0.300543i
\(95\) −6.38624 + 0.918203i −0.655215 + 0.0942056i
\(96\) −0.626917 + 1.61461i −0.0639845 + 0.164791i
\(97\) 2.61240 8.89702i 0.265249 0.903355i −0.713906 0.700241i \(-0.753076\pi\)
0.979155 0.203114i \(-0.0651061\pi\)
\(98\) 3.04998 + 1.39288i 0.308095 + 0.140702i
\(99\) −4.10075 3.74976i −0.412141 0.376866i
\(100\) 0.142315 0.989821i 0.0142315 0.0989821i
\(101\) −2.65537 9.04335i −0.264219 0.899847i −0.979574 0.201085i \(-0.935553\pi\)
0.715355 0.698761i \(-0.246265\pi\)
\(102\) −0.439283 + 5.17023i −0.0434955 + 0.511929i
\(103\) −8.93699 13.9062i −0.880587 1.37022i −0.928486 0.371368i \(-0.878889\pi\)
0.0478983 0.998852i \(-0.484748\pi\)
\(104\) −1.89258 2.94491i −0.185583 0.288772i
\(105\) 0.471810 5.55305i 0.0460439 0.541922i
\(106\) −1.76838 6.02254i −0.171760 0.584961i
\(107\) 1.25334 8.71717i 0.121165 0.842721i −0.835075 0.550136i \(-0.814576\pi\)
0.956240 0.292584i \(-0.0945152\pi\)
\(108\) 5.19360 0.162706i 0.499755 0.0156564i
\(109\) −7.90549 3.61032i −0.757209 0.345806i −0.000882083 1.00000i \(-0.500281\pi\)
−0.756327 + 0.654194i \(0.773008\pi\)
\(110\) 0.521834 1.77720i 0.0497549 0.169450i
\(111\) 0.799194 2.05831i 0.0758562 0.195366i
\(112\) −3.18485 + 0.457913i −0.300940 + 0.0432687i
\(113\) 4.90479 + 3.15212i 0.461404 + 0.296527i 0.750616 0.660739i \(-0.229757\pi\)
−0.289212 + 0.957265i \(0.593393\pi\)
\(114\) 8.00681 7.79567i 0.749907 0.730131i
\(115\) 0.630358 + 4.75422i 0.0587812 + 0.443334i
\(116\) 2.77580i 0.257727i
\(117\) −5.91176 + 8.67988i −0.546542 + 0.802455i
\(118\) −0.694266 4.82873i −0.0639124 0.444520i
\(119\) −8.76818 + 4.00429i −0.803777 + 0.367073i
\(120\) 0.809699 + 1.53114i 0.0739151 + 0.139773i
\(121\) −3.14437 + 6.88522i −0.285852 + 0.625929i
\(122\) −5.79722 + 6.69035i −0.524855 + 0.605716i
\(123\) 16.3069 11.8706i 1.47034 1.07033i
\(124\) −0.271536 + 0.0797303i −0.0243847 + 0.00715999i
\(125\) −0.654861 0.755750i −0.0585725 0.0675963i
\(126\) 4.99988 + 8.25700i 0.445425 + 0.735592i
\(127\) 8.38053 5.38584i 0.743652 0.477916i −0.113139 0.993579i \(-0.536091\pi\)
0.856792 + 0.515663i \(0.172454\pi\)
\(128\) 0.755750 0.654861i 0.0667995 0.0578821i
\(129\) −6.48725 3.65566i −0.571171 0.321863i
\(130\) −3.46499 0.498190i −0.303900 0.0436942i
\(131\) −8.04636 6.97221i −0.703014 0.609165i 0.228210 0.973612i \(-0.426713\pi\)
−0.931224 + 0.364447i \(0.881258\pi\)
\(132\) 1.08088 + 3.02059i 0.0940783 + 0.262909i
\(133\) 19.9188 + 5.84869i 1.72718 + 0.507145i
\(134\) 2.75885 + 6.04105i 0.238329 + 0.521867i
\(135\) 3.27812 4.03161i 0.282136 0.346986i
\(136\) 1.61964 2.52022i 0.138883 0.216107i
\(137\) −5.12402 −0.437774 −0.218887 0.975750i \(-0.570243\pi\)
−0.218887 + 0.975750i \(0.570243\pi\)
\(138\) −5.72898 6.01488i −0.487683 0.512021i
\(139\) 21.7568 1.84539 0.922695 0.385532i \(-0.125982\pi\)
0.922695 + 0.385532i \(0.125982\pi\)
\(140\) −1.73957 + 2.70682i −0.147020 + 0.228768i
\(141\) −5.69370 + 7.39777i −0.479496 + 0.623005i
\(142\) 1.62457 + 3.55731i 0.136331 + 0.298523i
\(143\) −6.22131 1.82674i −0.520252 0.152760i
\(144\) −2.69462 1.31871i −0.224552 0.109893i
\(145\) −2.09781 1.81776i −0.174214 0.150957i
\(146\) 5.24663 + 0.754351i 0.434214 + 0.0624305i
\(147\) −2.85111 + 5.05951i −0.235155 + 0.417302i
\(148\) −0.963429 + 0.834816i −0.0791934 + 0.0686215i
\(149\) −15.1470 + 9.73438i −1.24089 + 0.797471i −0.985551 0.169380i \(-0.945823\pi\)
−0.255339 + 0.966852i \(0.582187\pi\)
\(150\) 1.68740 + 0.390753i 0.137775 + 0.0319048i
\(151\) −12.8464 14.8255i −1.04542 1.20648i −0.977967 0.208759i \(-0.933058\pi\)
−0.0674548 0.997722i \(-0.521488\pi\)
\(152\) −6.19057 + 1.81771i −0.502121 + 0.147436i
\(153\) −8.85853 1.51626i −0.716170 0.122582i
\(154\) −3.90281 + 4.50408i −0.314497 + 0.362949i
\(155\) −0.117562 + 0.257426i −0.00944284 + 0.0206769i
\(156\) 5.35994 2.83445i 0.429138 0.226938i
\(157\) 12.1514 5.54934i 0.969783 0.442885i 0.133419 0.991060i \(-0.457404\pi\)
0.836364 + 0.548174i \(0.184677\pi\)
\(158\) −0.764145 5.31475i −0.0607921 0.422818i
\(159\) 10.6532 2.16882i 0.844854 0.171998i
\(160\) 1.00000i 0.0790569i
\(161\) 4.50974 14.7574i 0.355417 1.16305i
\(162\) −0.480755 + 8.98715i −0.0377717 + 0.706097i
\(163\) 19.6150 + 12.6058i 1.53637 + 0.987363i 0.988572 + 0.150750i \(0.0481689\pi\)
0.547795 + 0.836613i \(0.315467\pi\)
\(164\) −11.5266 + 1.65727i −0.900073 + 0.129411i
\(165\) 2.99064 + 1.16120i 0.232821 + 0.0903990i
\(166\) −3.28739 + 11.1958i −0.255151 + 0.868965i
\(167\) 6.44543 + 2.94353i 0.498762 + 0.227777i 0.648880 0.760891i \(-0.275238\pi\)
−0.150117 + 0.988668i \(0.547965\pi\)
\(168\) −0.323274 5.56367i −0.0249411 0.429247i
\(169\) 0.106118 0.738066i 0.00816292 0.0567743i
\(170\) −0.844010 2.87444i −0.0647326 0.220459i
\(171\) 12.2800 + 14.9615i 0.939072 + 1.14414i
\(172\) 2.32430 + 3.61668i 0.177226 + 0.275769i
\(173\) −5.60048 8.71452i −0.425797 0.662552i 0.560383 0.828234i \(-0.310654\pi\)
−0.986179 + 0.165681i \(0.947018\pi\)
\(174\) 4.79057 + 0.407026i 0.363172 + 0.0308566i
\(175\) 0.906504 + 3.08727i 0.0685253 + 0.233376i
\(176\) 0.263600 1.83338i 0.0198696 0.138196i
\(177\) 8.43538 0.490133i 0.634042 0.0368406i
\(178\) 1.62204 + 0.740763i 0.121577 + 0.0555225i
\(179\) −5.17490 + 17.6241i −0.386790 + 1.31729i 0.504327 + 0.863513i \(0.331741\pi\)
−0.891117 + 0.453773i \(0.850078\pi\)
\(180\) −2.76122 + 1.17289i −0.205809 + 0.0874220i
\(181\) −16.9589 + 2.43832i −1.26055 + 0.181239i −0.740007 0.672599i \(-0.765178\pi\)
−0.520539 + 0.853838i \(0.674269\pi\)
\(182\) 9.47556 + 6.08957i 0.702375 + 0.451389i
\(183\) −10.6964 10.9861i −0.790697 0.812113i
\(184\) 1.30054 + 4.61612i 0.0958770 + 0.340305i
\(185\) 1.27480i 0.0937252i
\(186\) −0.0977847 0.480318i −0.00716993 0.0352186i
\(187\) −0.789689 5.49241i −0.0577478 0.401645i
\(188\) 4.90261 2.23894i 0.357559 0.163292i
\(189\) −14.9834 + 7.41820i −1.08988 + 0.539595i
\(190\) −2.68022 + 5.86887i −0.194444 + 0.425772i
\(191\) 2.50095 2.88625i 0.180963 0.208842i −0.658020 0.753001i \(-0.728606\pi\)
0.838982 + 0.544159i \(0.183151\pi\)
\(192\) 1.01936 + 1.40032i 0.0735661 + 0.101060i
\(193\) −19.2116 + 5.64103i −1.38288 + 0.406051i −0.886771 0.462209i \(-0.847057\pi\)
−0.496110 + 0.868260i \(0.665239\pi\)
\(194\) −6.07228 7.00778i −0.435964 0.503129i
\(195\) 1.36788 5.90694i 0.0979557 0.423005i
\(196\) 2.82071 1.81276i 0.201479 0.129483i
\(197\) 16.1402 13.9856i 1.14994 0.996430i 0.149972 0.988690i \(-0.452082\pi\)
0.999970 0.00774023i \(-0.00246382\pi\)
\(198\) −5.37153 + 1.42249i −0.381738 + 0.101092i
\(199\) −16.1046 2.31549i −1.14162 0.164141i −0.454546 0.890723i \(-0.650198\pi\)
−0.687079 + 0.726583i \(0.741107\pi\)
\(200\) −0.755750 0.654861i −0.0534396 0.0463056i
\(201\) −10.8304 + 3.87550i −0.763916 + 0.273357i
\(202\) −9.04335 2.65537i −0.636288 0.186831i
\(203\) 3.71025 + 8.12432i 0.260409 + 0.570215i
\(204\) 4.11198 + 3.16478i 0.287896 + 0.221579i
\(205\) −6.29581 + 9.79647i −0.439718 + 0.684215i
\(206\) −16.5304 −1.15172
\(207\) 11.2207 9.00527i 0.779895 0.625910i
\(208\) −3.50062 −0.242724
\(209\) −6.46090 + 10.0533i −0.446909 + 0.695405i
\(210\) −4.41644 3.39912i −0.304763 0.234561i
\(211\) −3.07953 6.74322i −0.212003 0.464222i 0.773518 0.633774i \(-0.218495\pi\)
−0.985521 + 0.169552i \(0.945768\pi\)
\(212\) −6.02254 1.76838i −0.413630 0.121453i
\(213\) −6.37754 + 2.28211i −0.436982 + 0.156368i
\(214\) −6.65574 5.76723i −0.454977 0.394240i
\(215\) 4.25540 + 0.611834i 0.290216 + 0.0417267i
\(216\) 2.67100 4.45710i 0.181738 0.303267i
\(217\) 0.688172 0.596304i 0.0467162 0.0404798i
\(218\) −7.31123 + 4.69864i −0.495179 + 0.318232i
\(219\) −2.07122 + 8.94419i −0.139960 + 0.604392i
\(220\) −1.21295 1.39982i −0.0817773 0.0943761i
\(221\) −10.0623 + 2.95456i −0.676864 + 0.198745i
\(222\) −1.29948 1.78513i −0.0872155 0.119810i
\(223\) −7.65776 + 8.83752i −0.512801 + 0.591804i −0.951814 0.306677i \(-0.900783\pi\)
0.439012 + 0.898481i \(0.355328\pi\)
\(224\) −1.33664 + 2.92684i −0.0893081 + 0.195557i
\(225\) −0.921804 + 2.85487i −0.0614536 + 0.190325i
\(226\) 5.30346 2.42201i 0.352781 0.161110i
\(227\) 3.25752 + 22.6565i 0.216209 + 1.50377i 0.751858 + 0.659326i \(0.229158\pi\)
−0.535649 + 0.844441i \(0.679933\pi\)
\(228\) −2.22932 10.9504i −0.147641 0.725209i
\(229\) 10.8505i 0.717018i −0.933526 0.358509i \(-0.883285\pi\)
0.933526 0.358509i \(-0.116715\pi\)
\(230\) 4.34031 + 2.04004i 0.286191 + 0.134516i
\(231\) −7.20100 7.39604i −0.473791 0.486624i
\(232\) −2.33515 1.50071i −0.153310 0.0985265i
\(233\) −3.56986 + 0.513268i −0.233869 + 0.0336253i −0.258253 0.966077i \(-0.583147\pi\)
0.0243836 + 0.999703i \(0.492238\pi\)
\(234\) 4.10584 + 9.66598i 0.268407 + 0.631885i
\(235\) 1.51844 5.17134i 0.0990522 0.337341i
\(236\) −4.43753 2.02655i −0.288859 0.131917i
\(237\) 9.28441 0.539465i 0.603087 0.0350420i
\(238\) −1.37181 + 9.54114i −0.0889212 + 0.618460i
\(239\) 1.15914 + 3.94767i 0.0749785 + 0.255353i 0.988450 0.151550i \(-0.0484266\pi\)
−0.913471 + 0.406904i \(0.866608\pi\)
\(240\) 1.72583 + 0.146634i 0.111402 + 0.00946517i
\(241\) −15.3411 23.8712i −0.988208 1.53768i −0.835558 0.549402i \(-0.814856\pi\)
−0.152650 0.988280i \(-0.548781\pi\)
\(242\) 4.09224 + 6.36765i 0.263059 + 0.409328i
\(243\) −15.4398 2.14752i −0.990465 0.137764i
\(244\) 2.49406 + 8.49400i 0.159666 + 0.543773i
\(245\) 0.477179 3.31885i 0.0304859 0.212034i
\(246\) −1.16999 20.1359i −0.0745956 1.28382i
\(247\) 20.5447 + 9.38244i 1.30723 + 0.596990i
\(248\) −0.0797303 + 0.271536i −0.00506288 + 0.0172426i
\(249\) −18.8401 7.31518i −1.19394 0.463581i
\(250\) −0.989821 + 0.142315i −0.0626018 + 0.00900078i
\(251\) 20.1980 + 12.9805i 1.27489 + 0.819321i 0.990248 0.139313i \(-0.0444894\pi\)
0.284640 + 0.958634i \(0.408126\pi\)
\(252\) 9.64937 + 0.257905i 0.607853 + 0.0162465i
\(253\) 7.41967 + 4.88426i 0.466471 + 0.307071i
\(254\) 9.96196i 0.625069i
\(255\) 5.08456 1.03513i 0.318407 0.0648225i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 23.1145 10.5561i 1.44185 0.658469i 0.467596 0.883942i \(-0.345120\pi\)
0.974249 + 0.225474i \(0.0723929\pi\)
\(258\) −6.58261 + 3.48103i −0.409815 + 0.216719i
\(259\) 1.70395 3.73113i 0.105878 0.231841i
\(260\) −2.29242 + 2.64559i −0.142170 + 0.164073i
\(261\) −1.40492 + 8.20804i −0.0869623 + 0.508065i
\(262\) −10.2156 + 2.99957i −0.631121 + 0.185314i
\(263\) 3.84446 + 4.43674i 0.237060 + 0.273581i 0.861797 0.507254i \(-0.169339\pi\)
−0.624737 + 0.780835i \(0.714794\pi\)
\(264\) 3.12545 + 0.723765i 0.192358 + 0.0445446i
\(265\) −5.28038 + 3.39349i −0.324371 + 0.208461i
\(266\) 15.6891 13.5947i 0.961963 0.833546i
\(267\) −1.51628 + 2.69076i −0.0927948 + 0.164672i
\(268\) 6.57360 + 0.945141i 0.401547 + 0.0577337i
\(269\) 6.79932 + 5.89164i 0.414562 + 0.359220i 0.837029 0.547158i \(-0.184290\pi\)
−0.422467 + 0.906378i \(0.638836\pi\)
\(270\) −1.61932 4.93739i −0.0985488 0.300480i
\(271\) 26.0003 + 7.63438i 1.57941 + 0.463756i 0.949722 0.313095i \(-0.101366\pi\)
0.629685 + 0.776850i \(0.283184\pi\)
\(272\) −1.24449 2.72506i −0.0754586 0.165231i
\(273\) −11.8990 + 15.4603i −0.720161 + 0.935699i
\(274\) −2.77025 + 4.31060i −0.167357 + 0.260413i
\(275\) −1.85223 −0.111694
\(276\) −8.15736 + 1.56763i −0.491015 + 0.0943604i
\(277\) 16.3447 0.982055 0.491028 0.871144i \(-0.336621\pi\)
0.491028 + 0.871144i \(0.336621\pi\)
\(278\) 11.7626 18.3030i 0.705475 1.09774i
\(279\) 0.843286 0.0983293i 0.0504862 0.00588682i
\(280\) 1.33664 + 2.92684i 0.0798796 + 0.174912i
\(281\) −17.2277 5.05852i −1.02772 0.301766i −0.275937 0.961176i \(-0.588988\pi\)
−0.751784 + 0.659410i \(0.770806\pi\)
\(282\) 3.14516 + 8.78938i 0.187291 + 0.523400i
\(283\) 11.2533 + 9.75107i 0.668941 + 0.579641i 0.921707 0.387887i \(-0.126795\pi\)
−0.252766 + 0.967527i \(0.581340\pi\)
\(284\) 3.87091 + 0.556552i 0.229696 + 0.0330253i
\(285\) −9.73567 5.48619i −0.576691 0.324974i
\(286\) −4.90025 + 4.24609i −0.289758 + 0.251077i
\(287\) 31.5212 20.2574i 1.86064 1.19576i
\(288\) −2.56619 + 1.55391i −0.151214 + 0.0915652i
\(289\) 5.25543 + 6.06509i 0.309143 + 0.356770i
\(290\) −2.66336 + 0.782034i −0.156398 + 0.0459226i
\(291\) 12.9847 9.45216i 0.761174 0.554095i
\(292\) 3.47114 4.00591i 0.203133 0.234428i
\(293\) −3.17818 + 6.95924i −0.185671 + 0.406563i −0.979462 0.201627i \(-0.935377\pi\)
0.793791 + 0.608190i \(0.208104\pi\)
\(294\) 2.71491 + 5.13388i 0.158337 + 0.299414i
\(295\) −4.43753 + 2.02655i −0.258363 + 0.117990i
\(296\) 0.181423 + 1.26182i 0.0105450 + 0.0733420i
\(297\) −1.66734 9.47895i −0.0967486 0.550025i
\(298\) 18.0053i 1.04302i
\(299\) 7.14139 15.1938i 0.412997 0.878678i
\(300\) 1.24100 1.20827i 0.0716491 0.0697597i
\(301\) −11.6371 7.47868i −0.670749 0.431064i
\(302\) −19.4173 + 2.79178i −1.11734 + 0.160649i
\(303\) 5.90878 15.2179i 0.339450 0.874248i
\(304\) −1.81771 + 6.19057i −0.104253 + 0.355053i
\(305\) 8.05261 + 3.67750i 0.461091 + 0.210573i
\(306\) −6.06484 + 6.63252i −0.346704 + 0.379156i
\(307\) −3.78724 + 26.3408i −0.216149 + 1.50335i 0.535922 + 0.844267i \(0.319964\pi\)
−0.752071 + 0.659082i \(0.770945\pi\)
\(308\) 1.67906 + 5.71834i 0.0956731 + 0.325833i
\(309\) 2.42391 28.5286i 0.137891 1.62294i
\(310\) 0.153001 + 0.238075i 0.00868989 + 0.0135217i
\(311\) 2.31236 + 3.59810i 0.131122 + 0.204029i 0.900606 0.434636i \(-0.143123\pi\)
−0.769484 + 0.638666i \(0.779487\pi\)
\(312\) 0.513309 6.04149i 0.0290604 0.342032i
\(313\) −1.71466 5.83958i −0.0969181 0.330073i 0.896734 0.442570i \(-0.145933\pi\)
−0.993652 + 0.112497i \(0.964115\pi\)
\(314\) 1.90112 13.2226i 0.107286 0.746192i
\(315\) 6.51391 7.12361i 0.367017 0.401370i
\(316\) −4.88418 2.23053i −0.274756 0.125477i
\(317\) −2.97046 + 10.1165i −0.166838 + 0.568196i 0.833050 + 0.553198i \(0.186593\pi\)
−0.999888 + 0.0149987i \(0.995226\pi\)
\(318\) 3.93503 10.1346i 0.220666 0.568320i
\(319\) −5.08910 + 0.731701i −0.284935 + 0.0409674i
\(320\) −0.841254 0.540641i −0.0470275 0.0302227i
\(321\) 10.9292 10.6410i 0.610011 0.593924i
\(322\) −9.97657 11.7723i −0.555972 0.656044i
\(323\) 19.3286i 1.07547i
\(324\) 7.30056 + 5.26326i 0.405586 + 0.292403i
\(325\) 0.498190 + 3.46499i 0.0276346 + 0.192203i
\(326\) 21.2094 9.68599i 1.17468 0.536457i
\(327\) −7.03699 13.3069i −0.389147 0.735875i
\(328\) −4.83754 + 10.5927i −0.267109 + 0.584887i
\(329\) −11.3565 + 13.1061i −0.626102 + 0.722560i
\(330\) 2.59372 1.88809i 0.142780 0.103936i
\(331\) 19.3628 5.68543i 1.06427 0.312499i 0.297703 0.954658i \(-0.403779\pi\)
0.766571 + 0.642159i \(0.221961\pi\)
\(332\) 7.64123 + 8.81845i 0.419367 + 0.483976i
\(333\) 3.27138 1.98093i 0.179271 0.108554i
\(334\) 5.96092 3.83085i 0.326167 0.209615i
\(335\) 5.01908 4.34906i 0.274222 0.237615i
\(336\) −4.85523 2.73599i −0.264875 0.149261i
\(337\) 6.56404 + 0.943767i 0.357566 + 0.0514102i 0.318757 0.947836i \(-0.396735\pi\)
0.0388089 + 0.999247i \(0.487644\pi\)
\(338\) −0.563529 0.488301i −0.0306519 0.0265601i
\(339\) 3.40232 + 9.50804i 0.184789 + 0.516406i
\(340\) −2.87444 0.844010i −0.155888 0.0457729i
\(341\) 0.217753 + 0.476812i 0.0117920 + 0.0258208i
\(342\) 19.2255 2.24174i 1.03960 0.121219i
\(343\) 6.34424 9.87183i 0.342557 0.533028i
\(344\) 4.29916 0.231795
\(345\) −4.15720 + 7.19150i −0.223816 + 0.387177i
\(346\) −10.3590 −0.556902
\(347\) 8.69112 13.5237i 0.466564 0.725988i −0.525627 0.850715i \(-0.676169\pi\)
0.992191 + 0.124727i \(0.0398056\pi\)
\(348\) 2.93239 3.81003i 0.157193 0.204239i
\(349\) −10.3720 22.7116i −0.555202 1.21572i −0.954310 0.298820i \(-0.903407\pi\)
0.399107 0.916904i \(-0.369320\pi\)
\(350\) 3.08727 + 0.906504i 0.165021 + 0.0484547i
\(351\) −17.2839 + 5.66863i −0.922547 + 0.302569i
\(352\) −1.39982 1.21295i −0.0746108 0.0646507i
\(353\) 31.4976 + 4.52868i 1.67645 + 0.241037i 0.913914 0.405908i \(-0.133045\pi\)
0.762536 + 0.646945i \(0.223954\pi\)
\(354\) 4.14818 7.36128i 0.220473 0.391247i
\(355\) 2.95552 2.56097i 0.156863 0.135922i
\(356\) 1.50011 0.964064i 0.0795058 0.0510953i
\(357\) −16.2653 3.76657i −0.860849 0.199348i
\(358\) 12.0286 + 13.8817i 0.635729 + 0.733671i
\(359\) 30.1194 8.84385i 1.58964 0.466761i 0.637001 0.770863i \(-0.280175\pi\)
0.952639 + 0.304102i \(0.0983564\pi\)
\(360\) −0.506131 + 2.95700i −0.0266754 + 0.155847i
\(361\) 14.8177 17.1005i 0.779877 0.900026i
\(362\) −7.11743 + 15.5850i −0.374084 + 0.819130i
\(363\) −11.5896 + 6.12881i −0.608294 + 0.321679i
\(364\) 10.2457 4.67907i 0.537023 0.245250i
\(365\) −0.754351 5.24663i −0.0394845 0.274621i
\(366\) −15.0249 + 3.05883i −0.785366 + 0.159888i
\(367\) 1.34419i 0.0701661i −0.999384 0.0350831i \(-0.988830\pi\)
0.999384 0.0350831i \(-0.0111696\pi\)
\(368\) 4.58645 + 1.40158i 0.239085 + 0.0730625i
\(369\) 34.9228 + 0.933406i 1.81801 + 0.0485912i
\(370\) 1.07243 + 0.689209i 0.0557530 + 0.0358303i
\(371\) 19.9907 2.87423i 1.03786 0.149222i
\(372\) −0.456935 0.177418i −0.0236910 0.00919867i
\(373\) −7.67790 + 26.1485i −0.397547 + 1.35392i 0.481191 + 0.876616i \(0.340204\pi\)
−0.878738 + 0.477304i \(0.841614\pi\)
\(374\) −5.04745 2.30509i −0.260997 0.119193i
\(375\) −0.100470 1.72913i −0.00518827 0.0892921i
\(376\) 0.767028 5.33480i 0.0395565 0.275121i
\(377\) 2.73760 + 9.32342i 0.140994 + 0.480181i
\(378\) −1.86002 + 16.6154i −0.0956694 + 0.854603i
\(379\) 7.50693 + 11.6810i 0.385605 + 0.600014i 0.978744 0.205087i \(-0.0657477\pi\)
−0.593138 + 0.805100i \(0.702111\pi\)
\(380\) 3.48817 + 5.42770i 0.178939 + 0.278435i
\(381\) 17.1927 + 1.46076i 0.880808 + 0.0748370i
\(382\) −1.07595 3.66436i −0.0550506 0.187485i
\(383\) 4.19607 29.1843i 0.214409 1.49125i −0.543787 0.839223i \(-0.683010\pi\)
0.758196 0.652027i \(-0.226081\pi\)
\(384\) 1.72913 0.100470i 0.0882395 0.00512711i
\(385\) 5.42118 + 2.47577i 0.276289 + 0.126177i
\(386\) −5.64103 + 19.2116i −0.287121 + 0.977845i
\(387\) −5.04244 11.8709i −0.256321 0.603433i
\(388\) −9.17824 + 1.31963i −0.465955 + 0.0669942i
\(389\) 3.94054 + 2.53243i 0.199793 + 0.128399i 0.636712 0.771102i \(-0.280294\pi\)
−0.436919 + 0.899501i \(0.643930\pi\)
\(390\) −4.22970 4.34426i −0.214179 0.219980i
\(391\) 14.3664 + 0.157741i 0.726541 + 0.00797733i
\(392\) 3.35298i 0.169351i
\(393\) −3.67880 18.0702i −0.185571 0.911523i
\(394\) −3.03935 21.1392i −0.153120 1.06498i
\(395\) −4.88418 + 2.23053i −0.245750 + 0.112230i
\(396\) −1.70739 + 5.28788i −0.0857998 + 0.265726i
\(397\) 1.61145 3.52859i 0.0808766 0.177095i −0.864874 0.501990i \(-0.832602\pi\)
0.945750 + 0.324895i \(0.105329\pi\)
\(398\) −10.6547 + 12.2962i −0.534073 + 0.616353i
\(399\) 21.1617 + 29.0703i 1.05941 + 1.45533i
\(400\) −0.959493 + 0.281733i −0.0479746 + 0.0140866i
\(401\) −21.6275 24.9594i −1.08002 1.24642i −0.967528 0.252763i \(-0.918661\pi\)
−0.112497 0.993652i \(-0.535885\pi\)
\(402\) −2.59507 + 11.2063i −0.129430 + 0.558922i
\(403\) 0.833409 0.535600i 0.0415151 0.0266801i
\(404\) −7.12304 + 6.17215i −0.354384 + 0.307076i
\(405\) 8.75855 2.07069i 0.435216 0.102894i
\(406\) 8.84052 + 1.27108i 0.438748 + 0.0630824i
\(407\) 1.78449 + 1.54627i 0.0884541 + 0.0766459i
\(408\) 4.88549 1.74820i 0.241868 0.0865490i
\(409\) −3.62942 1.06569i −0.179463 0.0526951i 0.190766 0.981635i \(-0.438903\pi\)
−0.370229 + 0.928940i \(0.620721\pi\)
\(410\) 4.83754 + 10.5927i 0.238909 + 0.523138i
\(411\) −7.03316 5.41307i −0.346920 0.267007i
\(412\) −8.93699 + 13.9062i −0.440294 + 0.685110i
\(413\) 15.6967 0.772384
\(414\) −1.50933 14.3081i −0.0741794 0.703205i
\(415\) 11.6685 0.572784
\(416\) −1.89258 + 2.94491i −0.0927913 + 0.144386i
\(417\) 29.8631 + 22.9842i 1.46240 + 1.12554i
\(418\) 4.96439 + 10.8705i 0.242816 + 0.531694i
\(419\) −20.5903 6.04585i −1.00590 0.295359i −0.263025 0.964789i \(-0.584720\pi\)
−0.742875 + 0.669430i \(0.766539\pi\)
\(420\) −5.24723 + 1.87765i −0.256038 + 0.0916198i
\(421\) −17.3805 15.0603i −0.847075 0.733995i 0.118823 0.992915i \(-0.462088\pi\)
−0.965899 + 0.258921i \(0.916633\pi\)
\(422\) −7.33768 1.05500i −0.357192 0.0513565i
\(423\) −15.6302 + 4.13919i −0.759966 + 0.201255i
\(424\) −4.74369 + 4.11043i −0.230374 + 0.199620i
\(425\) −2.52022 + 1.61964i −0.122248 + 0.0785643i
\(426\) −1.52812 + 6.59893i −0.0740378 + 0.319719i
\(427\) −18.6532 21.5269i −0.902690 1.04176i
\(428\) −8.45007 + 2.48117i −0.408450 + 0.119932i
\(429\) −6.60950 9.07963i −0.319110 0.438369i
\(430\) 2.81535 3.24909i 0.135768 0.156685i
\(431\) −1.23148 + 2.69657i −0.0593184 + 0.129889i −0.936970 0.349410i \(-0.886382\pi\)
0.877651 + 0.479299i \(0.159109\pi\)
\(432\) −2.30550 4.65668i −0.110924 0.224045i
\(433\) −2.50438 + 1.14371i −0.120353 + 0.0549634i −0.474682 0.880158i \(-0.657437\pi\)
0.354328 + 0.935121i \(0.384709\pi\)
\(434\) −0.129589 0.901314i −0.00622049 0.0432644i
\(435\) −0.959120 4.71119i −0.0459863 0.225884i
\(436\) 8.69087i 0.416217i
\(437\) −23.1607 20.5184i −1.10793 0.981529i
\(438\) 6.40454 + 6.57801i 0.306021 + 0.314310i
\(439\) −16.1449 10.3757i −0.770555 0.495205i 0.0953320 0.995446i \(-0.469609\pi\)
−0.865887 + 0.500240i \(0.833245\pi\)
\(440\) −1.83338 + 0.263600i −0.0874029 + 0.0125666i
\(441\) −9.25832 + 3.93268i −0.440872 + 0.187270i
\(442\) −2.95456 + 10.0623i −0.140534 + 0.478615i
\(443\) −3.47705 1.58791i −0.165199 0.0754441i 0.331099 0.943596i \(-0.392581\pi\)
−0.496299 + 0.868152i \(0.665308\pi\)
\(444\) −2.20430 + 0.128080i −0.104611 + 0.00607839i
\(445\) 0.253774 1.76504i 0.0120300 0.0836708i
\(446\) 3.29450 + 11.2200i 0.155999 + 0.531284i
\(447\) −31.0741 2.64018i −1.46975 0.124876i
\(448\) 1.73957 + 2.70682i 0.0821869 + 0.127885i
\(449\) 15.1631 + 23.5942i 0.715589 + 1.11348i 0.988468 + 0.151430i \(0.0483879\pi\)
−0.272879 + 0.962048i \(0.587976\pi\)
\(450\) 1.90330 + 2.31893i 0.0897226 + 0.109315i
\(451\) 6.07680 + 20.6957i 0.286145 + 0.974522i
\(452\) 0.829744 5.77100i 0.0390279 0.271445i
\(453\) −1.97092 33.9203i −0.0926019 1.59372i
\(454\) 20.8210 + 9.50865i 0.977179 + 0.446263i
\(455\) 3.17333 10.8074i 0.148768 0.506657i
\(456\) −10.4173 4.04482i −0.487837 0.189416i
\(457\) 18.9753 2.72823i 0.887626 0.127621i 0.316606 0.948557i \(-0.397457\pi\)
0.571021 + 0.820936i \(0.306548\pi\)
\(458\) −9.12798 5.86620i −0.426523 0.274109i
\(459\) −10.5573 11.4395i −0.492773 0.533948i
\(460\) 4.06273 2.54837i 0.189426 0.118818i
\(461\) 20.8925i 0.973060i 0.873664 + 0.486530i \(0.161738\pi\)
−0.873664 + 0.486530i \(0.838262\pi\)
\(462\) −10.1151 + 2.05927i −0.470597 + 0.0958058i
\(463\) −1.57042 10.9225i −0.0729834 0.507611i −0.993220 0.116249i \(-0.962913\pi\)
0.920237 0.391362i \(-0.127996\pi\)
\(464\) −2.52496 + 1.15311i −0.117218 + 0.0535318i
\(465\) −0.433312 + 0.229145i −0.0200944 + 0.0106263i
\(466\) −1.49822 + 3.28065i −0.0694038 + 0.151973i
\(467\) −11.0966 + 12.8062i −0.513490 + 0.592599i −0.951989 0.306133i \(-0.900965\pi\)
0.438499 + 0.898732i \(0.355510\pi\)
\(468\) 10.3513 + 1.77177i 0.478490 + 0.0819002i
\(469\) −20.5032 + 6.02028i −0.946749 + 0.277990i
\(470\) −3.52948 4.07323i −0.162803 0.187884i
\(471\) 22.5412 + 5.21989i 1.03864 + 0.240520i
\(472\) −4.10396 + 2.63745i −0.188900 + 0.121399i
\(473\) 6.01806 5.21468i 0.276711 0.239771i
\(474\) 4.56570 8.10220i 0.209710 0.372146i
\(475\) 6.38624 + 0.918203i 0.293021 + 0.0421300i
\(476\) 7.28486 + 6.31237i 0.333901 + 0.289327i
\(477\) 16.9136 + 8.27728i 0.774421 + 0.378991i
\(478\) 3.94767 + 1.15914i 0.180562 + 0.0530178i
\(479\) 3.00865 + 6.58802i 0.137469 + 0.301014i 0.965828 0.259182i \(-0.0834530\pi\)
−0.828360 + 0.560196i \(0.810726\pi\)
\(480\) 1.05641 1.37259i 0.0482184 0.0626497i
\(481\) 2.41266 3.75417i 0.110008 0.171175i
\(482\) −28.3758 −1.29248
\(483\) 21.7799 15.4917i 0.991020 0.704895i
\(484\) 7.56924 0.344056
\(485\) −5.01316 + 7.80063i −0.227636 + 0.354208i
\(486\) −10.1540 + 11.8278i −0.460595 + 0.536518i
\(487\) −14.1895 31.0706i −0.642986 1.40794i −0.897562 0.440889i \(-0.854663\pi\)
0.254576 0.967053i \(-0.418064\pi\)
\(488\) 8.49400 + 2.49406i 0.384506 + 0.112901i
\(489\) 13.6064 + 38.0241i 0.615302 + 1.71951i
\(490\) −2.53402 2.19574i −0.114475 0.0991933i
\(491\) −30.4032 4.37133i −1.37208 0.197275i −0.583452 0.812147i \(-0.698299\pi\)
−0.788627 + 0.614872i \(0.789208\pi\)
\(492\) −17.5720 9.90205i −0.792205 0.446419i
\(493\) −6.28459 + 5.44563i −0.283044 + 0.245259i
\(494\) 19.0003 12.2108i 0.854864 0.549388i
\(495\) 2.87821 + 4.75319i 0.129366 + 0.213640i
\(496\) 0.185326 + 0.213877i 0.00832136 + 0.00960336i
\(497\) −12.0734 + 3.54508i −0.541567 + 0.159018i
\(498\) −16.3396 + 11.8944i −0.732197 + 0.533001i
\(499\) −20.7977 + 24.0018i −0.931034 + 1.07447i 0.0660244 + 0.997818i \(0.478968\pi\)
−0.997058 + 0.0766519i \(0.975577\pi\)
\(500\) −0.415415 + 0.909632i −0.0185779 + 0.0406800i
\(501\) 5.73733 + 10.8493i 0.256325 + 0.484710i
\(502\) 21.8398 9.97389i 0.974757 0.445156i
\(503\) 3.09338 + 21.5149i 0.137927 + 0.959302i 0.934805 + 0.355162i \(0.115574\pi\)
−0.796878 + 0.604140i \(0.793517\pi\)
\(504\) 5.43381 7.97813i 0.242041 0.355374i
\(505\) 9.42513i 0.419413i
\(506\) 8.12028 3.60119i 0.360991 0.160092i
\(507\) 0.925358 0.900956i 0.0410966 0.0400128i
\(508\) −8.38053 5.38584i −0.371826 0.238958i
\(509\) −6.55957 + 0.943123i −0.290748 + 0.0418032i −0.286145 0.958186i \(-0.592374\pi\)
−0.00460223 + 0.999989i \(0.501465\pi\)
\(510\) 1.87811 4.83703i 0.0831641 0.214188i
\(511\) −4.80500 + 16.3643i −0.212561 + 0.723915i
\(512\) −0.909632 0.415415i −0.0402004 0.0183589i
\(513\) 1.04976 + 33.5087i 0.0463482 + 1.47944i
\(514\) 3.61634 25.1522i 0.159510 1.10942i
\(515\) 4.65714 + 15.8608i 0.205218 + 0.698909i
\(516\) −0.630402 + 7.41963i −0.0277519 + 0.326631i
\(517\) −5.39716 8.39815i −0.237367 0.369350i
\(518\) −2.21760 3.45066i −0.0974358 0.151613i
\(519\) 1.51897 17.8778i 0.0666756 0.784750i
\(520\) 0.986239 + 3.35882i 0.0432494 + 0.147294i
\(521\) −6.11680 + 42.5433i −0.267982 + 1.86386i 0.199561 + 0.979885i \(0.436048\pi\)
−0.467543 + 0.883970i \(0.654861\pi\)
\(522\) 6.14548 + 5.61949i 0.268981 + 0.245958i
\(523\) 21.7057 + 9.91265i 0.949123 + 0.433450i 0.828962 0.559304i \(-0.188932\pi\)
0.120161 + 0.992754i \(0.461659\pi\)
\(524\) −2.99957 + 10.2156i −0.131037 + 0.446270i
\(525\) −2.01717 + 5.19519i −0.0880366 + 0.226737i
\(526\) 5.81090 0.835481i 0.253367 0.0364287i
\(527\) 0.713221 + 0.458359i 0.0310684 + 0.0199664i
\(528\) 2.29862 2.23800i 0.100034 0.0973965i
\(529\) −15.4398 + 17.0473i −0.671297 + 0.741189i
\(530\) 6.27680i 0.272647i
\(531\) 12.0961 + 8.23848i 0.524925 + 0.357520i
\(532\) −2.95441 20.5484i −0.128090 0.890886i
\(533\) 37.0812 16.9344i 1.60616 0.733511i
\(534\) 1.44385 + 2.73031i 0.0624813 + 0.118152i
\(535\) −3.65848 + 8.01096i −0.158170 + 0.346344i
\(536\) 4.34906 5.01908i 0.187851 0.216791i
\(537\) −25.7213 + 18.7238i −1.10996 + 0.807990i
\(538\) 8.63236 2.53469i 0.372167 0.109278i
\(539\) −4.06701 4.69358i −0.175179 0.202167i
\(540\) −5.02907 1.30709i −0.216417 0.0562483i
\(541\) 3.29222 2.11578i 0.141544 0.0909646i −0.467952 0.883754i \(-0.655008\pi\)
0.609496 + 0.792789i \(0.291372\pi\)
\(542\) 20.4793 17.7454i 0.879661 0.762230i
\(543\) −25.8535 14.5688i −1.10948 0.625207i
\(544\) −2.96529 0.426345i −0.127136 0.0182794i
\(545\) 6.56812 + 5.69131i 0.281347 + 0.243789i
\(546\) 6.57293 + 18.3686i 0.281295 + 0.786101i
\(547\) 28.3335 + 8.31947i 1.21145 + 0.355715i 0.824221 0.566268i \(-0.191613\pi\)
0.387232 + 0.921982i \(0.373431\pi\)
\(548\) 2.12859 + 4.66097i 0.0909290 + 0.199107i
\(549\) −3.07587 26.3791i −0.131275 1.12583i
\(550\) −1.00139 + 1.55820i −0.0426995 + 0.0664417i
\(551\) 17.9092 0.762959
\(552\) −3.09143 + 7.70993i −0.131580 + 0.328157i
\(553\) 17.2766 0.734676
\(554\) 8.83659 13.7500i 0.375431 0.584181i
\(555\) −1.34671 + 1.74977i −0.0571648 + 0.0742737i
\(556\) −9.03811 19.7907i −0.383301 0.839313i
\(557\) −25.8082 7.57797i −1.09353 0.321089i −0.315250 0.949009i \(-0.602088\pi\)
−0.778278 + 0.627920i \(0.783907\pi\)
\(558\) 0.373195 0.762579i 0.0157986 0.0322825i
\(559\) −11.3738 9.85547i −0.481061 0.416842i
\(560\) 3.18485 + 0.457913i 0.134585 + 0.0193504i
\(561\) 4.71833 8.37305i 0.199208 0.353510i
\(562\) −13.5695 + 11.7581i −0.572396 + 0.495984i
\(563\) −36.9815 + 23.7665i −1.55858 + 1.00164i −0.575646 + 0.817699i \(0.695249\pi\)
−0.982937 + 0.183941i \(0.941114\pi\)
\(564\) 9.09450 + 2.10602i 0.382947 + 0.0886796i
\(565\) −3.81806 4.40628i −0.160627 0.185373i
\(566\) 14.2871 4.19508i 0.600533 0.176332i
\(567\) −28.4026 5.64647i −1.19280 0.237129i
\(568\) 2.56097 2.95552i 0.107456 0.124011i
\(569\) 6.18389 13.5408i 0.259242 0.567661i −0.734596 0.678505i \(-0.762628\pi\)
0.993838 + 0.110844i \(0.0353554\pi\)
\(570\) −9.87878 + 5.22411i −0.413776 + 0.218814i
\(571\) 26.9649 12.3145i 1.12845 0.515344i 0.238379 0.971172i \(-0.423384\pi\)
0.890068 + 0.455828i \(0.150657\pi\)
\(572\) 0.922764 + 6.41796i 0.0385827 + 0.268349i
\(573\) 6.48184 1.31960i 0.270783 0.0551269i
\(574\) 37.4693i 1.56394i
\(575\) 0.734595 4.73924i 0.0306347 0.197640i
\(576\) −0.0801545 + 2.99893i −0.00333977 + 0.124955i
\(577\) −38.2047 24.5527i −1.59048 1.02214i −0.971592 0.236663i \(-0.923946\pi\)
−0.618890 0.785477i \(-0.712418\pi\)
\(578\) 7.94358 1.14211i 0.330409 0.0475057i
\(579\) −32.3288 12.5526i −1.34354 0.521666i
\(580\) −0.782034 + 2.66336i −0.0324722 + 0.110590i
\(581\) −34.1518 15.5966i −1.41685 0.647055i
\(582\) −0.931624 16.0336i −0.0386170 0.664615i
\(583\) −1.65456 + 11.5077i −0.0685250 + 0.476602i
\(584\) −1.49335 5.08587i −0.0617951 0.210455i
\(585\) 8.11769 6.66275i 0.335625 0.275471i
\(586\) 4.13623 + 6.43610i 0.170866 + 0.265873i
\(587\) 23.3269 + 36.2974i 0.962804 + 1.49815i 0.864276 + 0.503019i \(0.167777\pi\)
0.0985288 + 0.995134i \(0.468586\pi\)
\(588\) 5.78669 + 0.491661i 0.238639 + 0.0202757i
\(589\) −0.514413 1.75193i −0.0211960 0.0721870i
\(590\) −0.694266 + 4.82873i −0.0285825 + 0.198796i
\(591\) 36.9284 2.14570i 1.51903 0.0882623i
\(592\) 1.15960 + 0.529571i 0.0476592 + 0.0217652i
\(593\) 2.04630 6.96905i 0.0840313 0.286184i −0.906747 0.421674i \(-0.861443\pi\)
0.990779 + 0.135490i \(0.0432608\pi\)
\(594\) −8.87563 3.72206i −0.364172 0.152718i
\(595\) 9.54114 1.37181i 0.391149 0.0562387i
\(596\) 15.1470 + 9.73438i 0.620445 + 0.398736i
\(597\) −19.6588 20.1913i −0.804583 0.826375i
\(598\) −8.92088 14.2221i −0.364802 0.581585i
\(599\) 27.6259i 1.12876i 0.825514 + 0.564381i \(0.190885\pi\)
−0.825514 + 0.564381i \(0.809115\pi\)
\(600\) −0.345529 1.69724i −0.0141062 0.0692894i
\(601\) −2.35312 16.3663i −0.0959857 0.667595i −0.979833 0.199819i \(-0.935965\pi\)
0.883847 0.467776i \(-0.154945\pi\)
\(602\) −12.5829 + 5.74643i −0.512842 + 0.234207i
\(603\) −18.9598 6.12188i −0.772101 0.249302i
\(604\) −8.14917 + 17.8442i −0.331585 + 0.726070i
\(605\) 4.95680 5.72045i 0.201522 0.232569i
\(606\) −9.60762 13.1982i −0.390283 0.536141i
\(607\) −22.4737 + 6.59887i −0.912179 + 0.267840i −0.703958 0.710242i \(-0.748585\pi\)
−0.208221 + 0.978082i \(0.566767\pi\)
\(608\) 4.22510 + 4.87603i 0.171351 + 0.197749i
\(609\) −3.48998 + 15.0709i −0.141421 + 0.610703i
\(610\) 7.44728 4.78608i 0.301532 0.193783i
\(611\) −14.2588 + 12.3554i −0.576851 + 0.499844i
\(612\) 2.30073 + 8.68788i 0.0930014 + 0.351187i
\(613\) −18.4769 2.65657i −0.746273 0.107298i −0.241321 0.970445i \(-0.577581\pi\)
−0.504952 + 0.863147i \(0.668490\pi\)
\(614\) 20.1118 + 17.4269i 0.811645 + 0.703294i
\(615\) −18.9907 + 6.79554i −0.765777 + 0.274023i
\(616\) 5.71834 + 1.67906i 0.230398 + 0.0676511i
\(617\) 3.85720 + 8.44608i 0.155285 + 0.340026i 0.971245 0.238081i \(-0.0765185\pi\)
−0.815960 + 0.578108i \(0.803791\pi\)
\(618\) −22.6893 17.4629i −0.912699 0.702459i
\(619\) −15.2782 + 23.7734i −0.614084 + 0.955534i 0.385379 + 0.922759i \(0.374071\pi\)
−0.999463 + 0.0327750i \(0.989566\pi\)
\(620\) 0.283000 0.0113656
\(621\) 24.9147 0.506795i 0.999793 0.0203370i
\(622\) 4.27707 0.171495
\(623\) −3.10198 + 4.82677i −0.124278 + 0.193380i
\(624\) −4.80491 3.69810i −0.192350 0.148042i
\(625\) 0.415415 + 0.909632i 0.0166166 + 0.0363853i
\(626\) −5.83958 1.71466i −0.233397 0.0685315i
\(627\) −19.4886 + 6.97373i −0.778300 + 0.278504i
\(628\) −10.0957 8.74798i −0.402863 0.349082i
\(629\) 3.78016 + 0.543504i 0.150725 + 0.0216709i
\(630\) −2.47108 9.33116i −0.0984503 0.371762i
\(631\) 33.5801 29.0973i 1.33680 1.15834i 0.362783 0.931873i \(-0.381826\pi\)
0.974018 0.226471i \(-0.0727190\pi\)
\(632\) −4.51703 + 2.90292i −0.179678 + 0.115472i
\(633\) 2.89670 12.5089i 0.115134 0.497184i
\(634\) 6.90455 + 7.96827i 0.274215 + 0.316461i
\(635\) −9.55843 + 2.80661i −0.379315 + 0.111377i
\(636\) −6.39833 8.78954i −0.253710 0.348528i
\(637\) −7.68644 + 8.87063i −0.304548 + 0.351467i
\(638\) −2.13583 + 4.67681i −0.0845582 + 0.185157i
\(639\) −11.1646 3.60491i −0.441664 0.142608i
\(640\) −0.909632 + 0.415415i −0.0359564 + 0.0164207i
\(641\) 1.55617 + 10.8234i 0.0614648 + 0.427497i 0.997199 + 0.0747917i \(0.0238292\pi\)
−0.935734 + 0.352706i \(0.885262\pi\)
\(642\) −3.04301 14.9472i −0.120098 0.589920i
\(643\) 36.3973i 1.43537i 0.696369 + 0.717684i \(0.254798\pi\)
−0.696369 + 0.717684i \(0.745202\pi\)
\(644\) −15.2972 + 2.02824i −0.602795 + 0.0799240i
\(645\) 5.19455 + 5.33525i 0.204535 + 0.210075i
\(646\) 16.2602 + 10.4498i 0.639750 + 0.411142i
\(647\) 6.01170 0.864351i 0.236344 0.0339812i −0.0231249 0.999733i \(-0.507362\pi\)
0.259469 + 0.965751i \(0.416452\pi\)
\(648\) 8.37471 3.29609i 0.328990 0.129483i
\(649\) −2.54571 + 8.66988i −0.0999277 + 0.340322i
\(650\) 3.18428 + 1.45421i 0.124898 + 0.0570388i
\(651\) 1.57452 0.0914865i 0.0617103 0.00358564i
\(652\) 3.31827 23.0791i 0.129954 0.903847i
\(653\) −1.77051 6.02981i −0.0692855 0.235965i 0.917569 0.397577i \(-0.130149\pi\)
−0.986854 + 0.161612i \(0.948331\pi\)
\(654\) −14.9990 1.27438i −0.586507 0.0498320i
\(655\) 5.75613 + 8.95671i 0.224910 + 0.349968i
\(656\) 6.29581 + 9.79647i 0.245810 + 0.382488i
\(657\) −12.2917 + 10.0886i −0.479544 + 0.393594i
\(658\) 4.88575 + 16.6393i 0.190466 + 0.648669i
\(659\) −5.50163 + 38.2647i −0.214313 + 1.49058i 0.544218 + 0.838944i \(0.316826\pi\)
−0.758531 + 0.651636i \(0.774083\pi\)
\(660\) −0.186094 3.20276i −0.00724371 0.124667i
\(661\) −29.9231 13.6654i −1.16387 0.531524i −0.262657 0.964889i \(-0.584599\pi\)
−0.901218 + 0.433366i \(0.857326\pi\)
\(662\) 5.68543 19.3628i 0.220970 0.752556i
\(663\) −16.9326 6.57455i −0.657609 0.255334i
\(664\) 11.5497 1.66060i 0.448216 0.0644437i
\(665\) −17.4642 11.2235i −0.677232 0.435230i
\(666\) 0.102181 3.82303i 0.00395943 0.148140i
\(667\) 0.146158 13.3115i 0.00565927 0.515422i
\(668\) 7.08575i 0.274156i
\(669\) −19.8470 + 4.04052i −0.767329 + 0.156216i
\(670\) −0.945141 6.57360i −0.0365140 0.253960i
\(671\) 14.9153 6.81159i 0.575798 0.262958i
\(672\) −4.92660 + 2.60529i −0.190048 + 0.100501i
\(673\) −0.408509 + 0.894510i −0.0157469 + 0.0344808i −0.917342 0.398100i \(-0.869670\pi\)
0.901595 + 0.432581i \(0.142397\pi\)
\(674\) 4.34274 5.01178i 0.167276 0.193047i
\(675\) −4.28117 + 2.94475i −0.164782 + 0.113344i
\(676\) −0.715452 + 0.210076i −0.0275174 + 0.00807983i
\(677\) −25.5626 29.5008i −0.982451 1.13381i −0.991002 0.133845i \(-0.957268\pi\)
0.00855155 0.999963i \(-0.497278\pi\)
\(678\) 9.83810 + 2.27822i 0.377830 + 0.0874946i
\(679\) 25.0993 16.1304i 0.963224 0.619027i
\(680\) −2.26406 + 1.96182i −0.0868229 + 0.0752325i
\(681\) −19.4634 + 34.5393i −0.745839 + 1.32355i
\(682\) 0.518846 + 0.0745988i 0.0198676 + 0.00285654i
\(683\) 11.9537 + 10.3580i 0.457396 + 0.396336i 0.852855 0.522148i \(-0.174869\pi\)
−0.395459 + 0.918484i \(0.629414\pi\)
\(684\) 8.50821 17.3855i 0.325320 0.664751i
\(685\) 4.91646 + 1.44360i 0.187848 + 0.0551572i
\(686\) −4.87475 10.6742i −0.186119 0.407544i
\(687\) 11.4625 14.8932i 0.437323 0.568211i
\(688\) 2.32430 3.61668i 0.0886131 0.137885i
\(689\) 21.9727 0.837092
\(690\) 3.80233 + 7.38528i 0.144752 + 0.281153i
\(691\) −27.8791 −1.06057 −0.530285 0.847819i \(-0.677915\pi\)
−0.530285 + 0.847819i \(0.677915\pi\)
\(692\) −5.60048 + 8.71452i −0.212898 + 0.331276i
\(693\) −2.07074 17.7589i −0.0786608 0.674606i
\(694\) −6.67804 14.6229i −0.253495 0.555077i
\(695\) −20.8755 6.12960i −0.791853 0.232509i
\(696\) −1.61983 4.52674i −0.0613995 0.171586i
\(697\) 26.3652 + 22.8456i 0.998654 + 0.865339i
\(698\) −24.7138 3.55330i −0.935430 0.134494i
\(699\) −5.44216 3.06674i −0.205841 0.115995i
\(700\) 2.43170 2.10708i 0.0919098 0.0796403i
\(701\) −1.53942 + 0.989324i −0.0581430 + 0.0373663i −0.569389 0.822068i \(-0.692820\pi\)
0.511246 + 0.859434i \(0.329184\pi\)
\(702\) −4.57563 + 17.6049i −0.172696 + 0.664452i
\(703\) −5.38616 6.21596i −0.203143 0.234440i
\(704\) −1.77720 + 0.521834i −0.0669809 + 0.0196674i
\(705\) 7.54726 5.49401i 0.284246 0.206916i
\(706\) 20.8387 24.0491i 0.784274 0.905100i
\(707\) 12.5980 27.5858i 0.473797 1.03747i
\(708\) −3.95002 7.46948i −0.148451 0.280720i
\(709\) 42.3102 19.3224i 1.58899 0.725669i 0.592208 0.805785i \(-0.298256\pi\)
0.996786 + 0.0801156i \(0.0255289\pi\)
\(710\) −0.556552 3.87091i −0.0208870 0.145273i
\(711\) 13.3136 + 9.06770i 0.499297 + 0.340065i
\(712\) 1.78319i 0.0668278i
\(713\) −1.30636 + 0.368052i −0.0489237 + 0.0137837i
\(714\) −11.9623 + 11.6469i −0.447678 + 0.435872i
\(715\) 5.45465 + 3.50549i 0.203993 + 0.131098i
\(716\) 18.1812 2.61406i 0.679462 0.0976919i
\(717\) −2.57934 + 6.64305i −0.0963274 + 0.248089i
\(718\) 8.84385 30.1194i 0.330050 1.12405i
\(719\) −35.5667 16.2428i −1.32642 0.605754i −0.378893 0.925441i \(-0.623695\pi\)
−0.947523 + 0.319687i \(0.896422\pi\)
\(720\) 2.21395 + 2.02446i 0.0825090 + 0.0754471i
\(721\) 7.56946 52.6468i 0.281902 1.96067i
\(722\) −6.37482 21.7106i −0.237246 0.807986i
\(723\) 4.16085 48.9719i 0.154744 1.82128i
\(724\) 9.26297 + 14.4135i 0.344255 + 0.535672i
\(725\) 1.50071 + 2.33515i 0.0557350 + 0.0867254i
\(726\) −1.10991 + 13.0632i −0.0411925 + 0.484822i
\(727\) 2.64046 + 8.99258i 0.0979292 + 0.333516i 0.993855 0.110687i \(-0.0353051\pi\)
−0.895926 + 0.444203i \(0.853487\pi\)
\(728\) 1.60298 11.1490i 0.0594104 0.413208i
\(729\) −18.9238 19.2585i −0.700883 0.713277i
\(730\) −4.82158 2.20194i −0.178455 0.0814975i
\(731\) 3.62853 12.3577i 0.134206 0.457064i
\(732\) −5.54985 + 14.2935i −0.205128 + 0.528304i
\(733\) −44.7129 + 6.42874i −1.65151 + 0.237451i −0.904226 0.427055i \(-0.859551\pi\)
−0.747283 + 0.664506i \(0.768642\pi\)
\(734\) −1.13080 0.726724i −0.0417388 0.0268239i
\(735\) 4.16105 4.05132i 0.153483 0.149435i
\(736\) 3.65871 3.10062i 0.134862 0.114290i
\(737\) 12.3010i 0.453115i
\(738\) 19.6659 28.8743i 0.723913 1.06288i
\(739\) −1.98415 13.8001i −0.0729881 0.507644i −0.993218 0.116266i \(-0.962908\pi\)
0.920230 0.391378i \(-0.128002\pi\)
\(740\) 1.15960 0.529571i 0.0426277 0.0194674i
\(741\) 18.2876 + 34.5818i 0.671813 + 1.27040i
\(742\) 8.38983 18.3712i 0.308000 0.674426i
\(743\) 10.4268 12.0331i 0.382521 0.441453i −0.531538 0.847035i \(-0.678386\pi\)
0.914059 + 0.405582i \(0.132931\pi\)
\(744\) −0.396291 + 0.288479i −0.0145287 + 0.0105762i
\(745\) 17.2759 5.07267i 0.632941 0.185848i
\(746\) 17.8466 + 20.5960i 0.653409 + 0.754074i
\(747\) −18.1318 29.9436i −0.663408 1.09558i
\(748\) −4.66802 + 2.99996i −0.170680 + 0.109689i
\(749\) 21.4156 18.5567i 0.782507 0.678046i
\(750\) −1.50896 0.850320i −0.0550994 0.0310493i
\(751\) −10.6831 1.53599i −0.389831 0.0560492i −0.0553871 0.998465i \(-0.517639\pi\)
−0.334444 + 0.942416i \(0.608548\pi\)
\(752\) −4.07323 3.52948i −0.148535 0.128707i
\(753\) 14.0108 + 39.1543i 0.510582 + 1.42686i
\(754\) 9.32342 + 2.73760i 0.339539 + 0.0996976i
\(755\) 8.14917 + 17.8442i 0.296579 + 0.649417i
\(756\) 12.9721 + 10.5477i 0.471792 + 0.383616i
\(757\) −9.15386 + 14.2437i −0.332703 + 0.517696i −0.966792 0.255564i \(-0.917739\pi\)
0.634089 + 0.773260i \(0.281375\pi\)
\(758\) 13.8853 0.504335
\(759\) 5.02435 + 14.5423i 0.182372 + 0.527852i
\(760\) 6.45191 0.234036
\(761\) −20.0180 + 31.1486i −0.725651 + 1.12914i 0.260849 + 0.965380i \(0.415997\pi\)
−0.986501 + 0.163756i \(0.947639\pi\)
\(762\) 10.5239 13.6737i 0.381242 0.495344i
\(763\) −11.6166 25.4368i −0.420548 0.920872i
\(764\) −3.66436 1.07595i −0.132572 0.0389266i
\(765\) 8.07252 + 3.95058i 0.291863 + 0.142833i
\(766\) −22.2829 19.3082i −0.805112 0.697634i
\(767\) 16.9035 + 2.43036i 0.610351 + 0.0877553i
\(768\) 0.850320 1.50896i 0.0306833 0.0544499i
\(769\) −11.3795 + 9.86042i −0.410357 + 0.355576i −0.835443 0.549577i \(-0.814789\pi\)
0.425087 + 0.905153i \(0.360244\pi\)
\(770\) 5.01366 3.22208i 0.180680 0.116116i
\(771\) 42.8782 + 9.92937i 1.54422 + 0.357597i
\(772\) 13.1121 + 15.1321i 0.471913 + 0.544617i
\(773\) −36.8057 + 10.8071i −1.32381 + 0.388706i −0.865866 0.500276i \(-0.833232\pi\)