Properties

Label 128.3.l.a.3.11
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.11
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.849476 - 1.81063i) q^{2} +(-0.740915 + 0.608053i) q^{3} +(-2.55678 + 3.07618i) q^{4} +(-2.60449 - 0.790064i) q^{5} +(1.73035 + 0.824998i) q^{6} +(-0.481425 - 2.42029i) q^{7} +(7.74175 + 2.01625i) q^{8} +(-1.57659 + 7.92604i) q^{9} +O(q^{10})\) \(q+(-0.849476 - 1.81063i) q^{2} +(-0.740915 + 0.608053i) q^{3} +(-2.55678 + 3.07618i) q^{4} +(-2.60449 - 0.790064i) q^{5} +(1.73035 + 0.824998i) q^{6} +(-0.481425 - 2.42029i) q^{7} +(7.74175 + 2.01625i) q^{8} +(-1.57659 + 7.92604i) q^{9} +(0.781937 + 5.38692i) q^{10} +(1.38820 + 14.0946i) q^{11} +(0.0238782 - 3.83384i) q^{12} +(3.31551 + 10.9298i) q^{13} +(-3.97329 + 2.92766i) q^{14} +(2.41011 - 0.998299i) q^{15} +(-2.92574 - 15.7302i) q^{16} +(-5.67490 + 13.7004i) q^{17} +(15.6904 - 3.87836i) q^{18} +(-0.788950 + 1.47602i) q^{19} +(9.08949 - 5.99186i) q^{20} +(1.82836 + 1.50049i) q^{21} +(24.3410 - 14.4866i) q^{22} +(15.3342 - 10.2460i) q^{23} +(-6.96197 + 3.21352i) q^{24} +(-14.6276 - 9.77383i) q^{25} +(16.9734 - 15.2878i) q^{26} +(-7.71775 - 14.4389i) q^{27} +(8.67613 + 4.70719i) q^{28} +(-4.87645 + 49.5115i) q^{29} +(-3.85488 - 3.51579i) q^{30} +(-22.7164 - 22.7164i) q^{31} +(-25.9963 + 18.6599i) q^{32} +(-9.59882 - 9.59882i) q^{33} +(29.6271 - 1.36302i) q^{34} +(-0.658314 + 6.68397i) q^{35} +(-20.3509 - 25.1150i) q^{36} +(0.562008 + 1.05144i) q^{37} +(3.34273 + 0.174654i) q^{38} +(-9.10240 - 6.08203i) q^{39} +(-18.5704 - 11.3678i) q^{40} +(-42.1875 + 28.1888i) q^{41} +(1.16370 - 4.58512i) q^{42} +(-5.77105 - 4.73618i) q^{43} +(-46.9069 - 31.7666i) q^{44} +(10.3683 - 19.3977i) q^{45} +(-31.5777 - 19.0609i) q^{46} +(10.8542 - 26.2043i) q^{47} +(11.7325 + 9.87576i) q^{48} +(39.6441 - 16.4211i) q^{49} +(-5.27105 + 34.7878i) q^{50} +(-4.12596 - 13.6015i) q^{51} +(-42.0990 - 17.7460i) q^{52} +(5.17075 + 52.4995i) q^{53} +(-19.5875 + 26.2395i) q^{54} +(7.52011 - 37.8061i) q^{55} +(1.15284 - 19.7079i) q^{56} +(-0.312955 - 1.57333i) q^{57} +(93.7895 - 33.2293i) q^{58} +(-74.3666 - 22.5589i) q^{59} +(-3.09117 + 9.96635i) q^{60} +(18.4632 - 15.1524i) q^{61} +(-21.8341 + 60.4282i) q^{62} +19.9423 q^{63} +(55.8694 + 31.2187i) q^{64} -31.0860i q^{65} +(-9.22598 + 25.5339i) q^{66} +(26.7709 + 32.6205i) q^{67} +(-27.6354 - 52.4860i) q^{68} +(-5.13122 + 16.9154i) q^{69} +(12.6614 - 4.48591i) q^{70} +(100.537 - 19.9980i) q^{71} +(-28.1864 + 58.1826i) q^{72} +(27.5345 + 5.47695i) q^{73} +(1.42636 - 1.91076i) q^{74} +(16.7808 - 1.65276i) q^{75} +(-2.52333 - 6.20082i) q^{76} +(33.4447 - 10.1454i) q^{77} +(-3.28005 + 21.6476i) q^{78} +(-9.90450 - 23.9116i) q^{79} +(-4.80783 + 43.2808i) q^{80} +(-52.6977 - 21.8281i) q^{81} +(86.8769 + 52.4404i) q^{82} +(132.576 + 70.8633i) q^{83} +(-9.29050 + 1.78792i) q^{84} +(25.6044 - 31.1991i) q^{85} +(-3.67311 + 14.4725i) q^{86} +(-26.4926 - 39.6489i) q^{87} +(-17.6713 + 111.916i) q^{88} +(-44.7450 + 66.9656i) q^{89} +(-43.9297 - 2.29528i) q^{90} +(24.8570 - 13.2864i) q^{91} +(-7.68772 + 73.3673i) q^{92} +(30.6437 + 3.01814i) q^{93} +(-56.6666 + 2.60699i) q^{94} +(3.22097 - 3.22097i) q^{95} +(7.91486 - 29.6325i) q^{96} +(-3.34959 + 3.34959i) q^{97} +(-63.4093 - 57.8315i) q^{98} +(-113.903 - 11.2185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.849476 1.81063i −0.424738 0.905316i
\(3\) −0.740915 + 0.608053i −0.246972 + 0.202684i −0.749732 0.661741i \(-0.769818\pi\)
0.502761 + 0.864426i \(0.332318\pi\)
\(4\) −2.55678 + 3.07618i −0.639195 + 0.769044i
\(5\) −2.60449 0.790064i −0.520898 0.158013i 0.0188771 0.999822i \(-0.493991\pi\)
−0.539775 + 0.841809i \(0.681491\pi\)
\(6\) 1.73035 + 0.824998i 0.288392 + 0.137500i
\(7\) −0.481425 2.42029i −0.0687750 0.345755i 0.931041 0.364913i \(-0.118901\pi\)
−0.999816 + 0.0191582i \(0.993901\pi\)
\(8\) 7.74175 + 2.01625i 0.967719 + 0.252032i
\(9\) −1.57659 + 7.92604i −0.175176 + 0.880671i
\(10\) 0.781937 + 5.38692i 0.0781937 + 0.538692i
\(11\) 1.38820 + 14.0946i 0.126200 + 1.28133i 0.824638 + 0.565660i \(0.191379\pi\)
−0.698438 + 0.715670i \(0.746121\pi\)
\(12\) 0.0238782 3.83384i 0.00198985 0.319487i
\(13\) 3.31551 + 10.9298i 0.255039 + 0.840752i 0.987182 + 0.159601i \(0.0510206\pi\)
−0.732142 + 0.681152i \(0.761479\pi\)
\(14\) −3.97329 + 2.92766i −0.283806 + 0.209118i
\(15\) 2.41011 0.998299i 0.160674 0.0665533i
\(16\) −2.92574 15.7302i −0.182858 0.983139i
\(17\) −5.67490 + 13.7004i −0.333818 + 0.805907i 0.664465 + 0.747320i \(0.268660\pi\)
−0.998282 + 0.0585873i \(0.981340\pi\)
\(18\) 15.6904 3.87836i 0.871690 0.215464i
\(19\) −0.788950 + 1.47602i −0.0415237 + 0.0776854i −0.901827 0.432097i \(-0.857774\pi\)
0.860304 + 0.509782i \(0.170274\pi\)
\(20\) 9.08949 5.99186i 0.454475 0.299593i
\(21\) 1.82836 + 1.50049i 0.0870646 + 0.0714521i
\(22\) 24.3410 14.4866i 1.10641 0.658481i
\(23\) 15.3342 10.2460i 0.666703 0.445477i −0.175614 0.984459i \(-0.556191\pi\)
0.842317 + 0.538982i \(0.181191\pi\)
\(24\) −6.96197 + 3.21352i −0.290082 + 0.133897i
\(25\) −14.6276 9.77383i −0.585103 0.390953i
\(26\) 16.9734 15.2878i 0.652822 0.587991i
\(27\) −7.71775 14.4389i −0.285843 0.534774i
\(28\) 8.67613 + 4.70719i 0.309862 + 0.168114i
\(29\) −4.87645 + 49.5115i −0.168154 + 1.70729i 0.427471 + 0.904029i \(0.359405\pi\)
−0.595625 + 0.803263i \(0.703095\pi\)
\(30\) −3.85488 3.51579i −0.128496 0.117193i
\(31\) −22.7164 22.7164i −0.732788 0.732788i 0.238383 0.971171i \(-0.423383\pi\)
−0.971171 + 0.238383i \(0.923383\pi\)
\(32\) −25.9963 + 18.6599i −0.812385 + 0.583121i
\(33\) −9.59882 9.59882i −0.290873 0.290873i
\(34\) 29.6271 1.36302i 0.871386 0.0400887i
\(35\) −0.658314 + 6.68397i −0.0188090 + 0.190971i
\(36\) −20.3509 25.1150i −0.565303 0.697639i
\(37\) 0.562008 + 1.05144i 0.0151894 + 0.0284174i 0.889401 0.457127i \(-0.151121\pi\)
−0.874212 + 0.485544i \(0.838621\pi\)
\(38\) 3.34273 + 0.174654i 0.0879665 + 0.00459616i
\(39\) −9.10240 6.08203i −0.233395 0.155949i
\(40\) −18.5704 11.3678i −0.464259 0.284195i
\(41\) −42.1875 + 28.1888i −1.02896 + 0.687532i −0.950926 0.309418i \(-0.899866\pi\)
−0.0780384 + 0.996950i \(0.524866\pi\)
\(42\) 1.16370 4.58512i 0.0277071 0.109169i
\(43\) −5.77105 4.73618i −0.134211 0.110144i 0.564893 0.825164i \(-0.308917\pi\)
−0.699104 + 0.715020i \(0.746417\pi\)
\(44\) −46.9069 31.7666i −1.06607 0.721967i
\(45\) 10.3683 19.3977i 0.230406 0.431060i
\(46\) −31.5777 19.0609i −0.686471 0.414366i
\(47\) 10.8542 26.2043i 0.230940 0.557537i −0.765349 0.643616i \(-0.777434\pi\)
0.996288 + 0.0860783i \(0.0274335\pi\)
\(48\) 11.7325 + 9.87576i 0.244428 + 0.205745i
\(49\) 39.6441 16.4211i 0.809063 0.335125i
\(50\) −5.27105 + 34.7878i −0.105421 + 0.695755i
\(51\) −4.12596 13.6015i −0.0809013 0.266696i
\(52\) −42.0990 17.7460i −0.809596 0.341268i
\(53\) 5.17075 + 52.4995i 0.0975614 + 0.990557i 0.911968 + 0.410262i \(0.134563\pi\)
−0.814406 + 0.580295i \(0.802937\pi\)
\(54\) −19.5875 + 26.2395i −0.362731 + 0.485917i
\(55\) 7.52011 37.8061i 0.136729 0.687384i
\(56\) 1.15284 19.7079i 0.0205864 0.351927i
\(57\) −0.312955 1.57333i −0.00549043 0.0276023i
\(58\) 93.7895 33.2293i 1.61706 0.572919i
\(59\) −74.3666 22.5589i −1.26045 0.382354i −0.411784 0.911281i \(-0.635094\pi\)
−0.848667 + 0.528928i \(0.822594\pi\)
\(60\) −3.09117 + 9.96635i −0.0515195 + 0.166106i
\(61\) 18.4632 15.1524i 0.302676 0.248400i −0.470779 0.882251i \(-0.656027\pi\)
0.773455 + 0.633851i \(0.218527\pi\)
\(62\) −21.8341 + 60.4282i −0.352162 + 0.974648i
\(63\) 19.9423 0.316544
\(64\) 55.8694 + 31.2187i 0.872960 + 0.487792i
\(65\) 31.0860i 0.478246i
\(66\) −9.22598 + 25.5339i −0.139788 + 0.386878i
\(67\) 26.7709 + 32.6205i 0.399566 + 0.486873i 0.933461 0.358678i \(-0.116772\pi\)
−0.533895 + 0.845551i \(0.679272\pi\)
\(68\) −27.6354 52.4860i −0.406404 0.771853i
\(69\) −5.13122 + 16.9154i −0.0743655 + 0.245150i
\(70\) 12.6614 4.48591i 0.180878 0.0640844i
\(71\) 100.537 19.9980i 1.41601 0.281662i 0.572999 0.819556i \(-0.305780\pi\)
0.843013 + 0.537894i \(0.180780\pi\)
\(72\) −28.1864 + 58.1826i −0.391478 + 0.808092i
\(73\) 27.5345 + 5.47695i 0.377185 + 0.0750267i 0.380042 0.924969i \(-0.375910\pi\)
−0.00285740 + 0.999996i \(0.500910\pi\)
\(74\) 1.42636 1.91076i 0.0192752 0.0258211i
\(75\) 16.7808 1.65276i 0.223744 0.0220368i
\(76\) −2.52333 6.20082i −0.0332017 0.0815897i
\(77\) 33.4447 10.1454i 0.434347 0.131758i
\(78\) −3.28005 + 21.6476i −0.0420519 + 0.277534i
\(79\) −9.90450 23.9116i −0.125373 0.302678i 0.848713 0.528853i \(-0.177378\pi\)
−0.974087 + 0.226175i \(0.927378\pi\)
\(80\) −4.80783 + 43.2808i −0.0600979 + 0.541010i
\(81\) −52.6977 21.8281i −0.650588 0.269483i
\(82\) 86.8769 + 52.4404i 1.05947 + 0.639517i
\(83\) 132.576 + 70.8633i 1.59730 + 0.853774i 0.998605 + 0.0527969i \(0.0168136\pi\)
0.598694 + 0.800978i \(0.295686\pi\)
\(84\) −9.29050 + 1.78792i −0.110601 + 0.0212847i
\(85\) 25.6044 31.1991i 0.301229 0.367048i
\(86\) −3.67311 + 14.4725i −0.0427106 + 0.168285i
\(87\) −26.4926 39.6489i −0.304512 0.455735i
\(88\) −17.6713 + 111.916i −0.200810 + 1.27177i
\(89\) −44.7450 + 66.9656i −0.502753 + 0.752423i −0.992866 0.119236i \(-0.961955\pi\)
0.490113 + 0.871659i \(0.336955\pi\)
\(90\) −43.9297 2.29528i −0.488108 0.0255031i
\(91\) 24.8570 13.2864i 0.273154 0.146004i
\(92\) −7.68772 + 73.3673i −0.0835621 + 0.797471i
\(93\) 30.6437 + 3.01814i 0.329502 + 0.0324532i
\(94\) −56.6666 + 2.60699i −0.602837 + 0.0277339i
\(95\) 3.22097 3.22097i 0.0339049 0.0339049i
\(96\) 7.91486 29.6325i 0.0824465 0.308672i
\(97\) −3.34959 + 3.34959i −0.0345318 + 0.0345318i −0.724162 0.689630i \(-0.757773\pi\)
0.689630 + 0.724162i \(0.257773\pi\)
\(98\) −63.4093 57.8315i −0.647034 0.590118i
\(99\) −113.903 11.2185i −1.15054 0.113318i
\(100\) 67.4655 20.0074i 0.674655 0.200074i
\(101\) 80.3983 42.9738i 0.796022 0.425483i −0.0226502 0.999743i \(-0.507210\pi\)
0.818673 + 0.574261i \(0.194710\pi\)
\(102\) −21.1224 + 19.0247i −0.207082 + 0.186517i
\(103\) 16.3335 24.4448i 0.158577 0.237328i −0.743670 0.668547i \(-0.766917\pi\)
0.902247 + 0.431219i \(0.141917\pi\)
\(104\) 3.63066 + 91.3006i 0.0349102 + 0.877890i
\(105\) −3.57645 5.35254i −0.0340615 0.0509766i
\(106\) 90.6649 53.9594i 0.855330 0.509051i
\(107\) −39.7348 + 48.4170i −0.371353 + 0.452495i −0.924836 0.380365i \(-0.875798\pi\)
0.553483 + 0.832860i \(0.313298\pi\)
\(108\) 64.1492 + 13.1759i 0.593974 + 0.121999i
\(109\) 105.352 + 56.3118i 0.966532 + 0.516622i 0.877589 0.479414i \(-0.159151\pi\)
0.0889435 + 0.996037i \(0.471651\pi\)
\(110\) −74.8412 + 18.4992i −0.680374 + 0.168175i
\(111\) −1.05573 0.437299i −0.00951110 0.00393963i
\(112\) −36.6631 + 14.6540i −0.327349 + 0.130840i
\(113\) −65.3591 157.791i −0.578399 1.39638i −0.894249 0.447570i \(-0.852289\pi\)
0.315849 0.948809i \(-0.397711\pi\)
\(114\) −2.58287 + 1.90315i −0.0226568 + 0.0166943i
\(115\) −48.0327 + 14.5706i −0.417676 + 0.126700i
\(116\) −139.838 141.591i −1.20550 1.22061i
\(117\) −91.8570 + 9.04713i −0.785103 + 0.0773259i
\(118\) 22.3268 + 153.814i 0.189210 + 1.30351i
\(119\) 35.8910 + 7.13916i 0.301605 + 0.0599929i
\(120\) 20.6713 2.86920i 0.172261 0.0239100i
\(121\) −78.0567 + 15.5264i −0.645096 + 0.128318i
\(122\) −43.1195 20.5586i −0.353439 0.168513i
\(123\) 14.1171 46.5378i 0.114773 0.378356i
\(124\) 127.961 11.7988i 1.03194 0.0951518i
\(125\) 73.5409 + 89.6099i 0.588327 + 0.716879i
\(126\) −16.9405 36.1082i −0.134448 0.286573i
\(127\) 4.82698i 0.0380077i −0.999819 0.0190039i \(-0.993951\pi\)
0.999819 0.0190039i \(-0.00604948\pi\)
\(128\) 9.06581 127.679i 0.0708267 0.997489i
\(129\) 7.15571 0.0554706
\(130\) −56.2853 + 26.4068i −0.432964 + 0.203129i
\(131\) −107.532 + 88.2493i −0.820856 + 0.673659i −0.948016 0.318223i \(-0.896914\pi\)
0.127160 + 0.991882i \(0.459414\pi\)
\(132\) 54.0698 4.98559i 0.409620 0.0377696i
\(133\) 3.95222 + 1.19889i 0.0297159 + 0.00901422i
\(134\) 36.3225 76.1827i 0.271063 0.568527i
\(135\) 8.69317 + 43.7035i 0.0643938 + 0.323730i
\(136\) −71.5572 + 94.6232i −0.526156 + 0.695759i
\(137\) −2.10698 + 10.5925i −0.0153794 + 0.0773175i −0.987713 0.156280i \(-0.950050\pi\)
0.972333 + 0.233597i \(0.0750498\pi\)
\(138\) 34.9864 5.07844i 0.253524 0.0368003i
\(139\) −7.63402 77.5095i −0.0549210 0.557623i −0.982791 0.184719i \(-0.940862\pi\)
0.927870 0.372903i \(-0.121638\pi\)
\(140\) −18.8779 19.1145i −0.134842 0.136532i
\(141\) 7.89157 + 26.0150i 0.0559686 + 0.184504i
\(142\) −121.613 165.047i −0.856427 1.16231i
\(143\) −149.449 + 61.9037i −1.04510 + 0.432893i
\(144\) 129.291 + 1.61058i 0.897854 + 0.0111846i
\(145\) 51.8179 125.099i 0.357365 0.862755i
\(146\) −13.4731 54.5074i −0.0922817 0.373338i
\(147\) −19.3880 + 36.2724i −0.131891 + 0.246751i
\(148\) −4.67135 0.959473i −0.0315632 0.00648293i
\(149\) −136.859 112.317i −0.918518 0.753808i 0.0510333 0.998697i \(-0.483749\pi\)
−0.969551 + 0.244889i \(0.921249\pi\)
\(150\) −17.2474 28.9798i −0.114983 0.193199i
\(151\) 187.744 125.447i 1.24334 0.830772i 0.252734 0.967536i \(-0.418670\pi\)
0.990604 + 0.136764i \(0.0436702\pi\)
\(152\) −9.08389 + 9.83627i −0.0597624 + 0.0647123i
\(153\) −99.6431 66.5794i −0.651262 0.435159i
\(154\) −46.7800 51.9379i −0.303766 0.337259i
\(155\) 41.2173 + 77.1122i 0.265918 + 0.497498i
\(156\) 41.9822 12.4502i 0.269117 0.0798088i
\(157\) −6.36612 + 64.6363i −0.0405485 + 0.411696i 0.953389 + 0.301745i \(0.0975693\pi\)
−0.993937 + 0.109951i \(0.964931\pi\)
\(158\) −34.8814 + 38.2457i −0.220769 + 0.242061i
\(159\) −35.7536 35.7536i −0.224865 0.224865i
\(160\) 82.4497 28.0608i 0.515311 0.175380i
\(161\) −32.1804 32.1804i −0.199878 0.199878i
\(162\) 5.24274 + 113.959i 0.0323626 + 0.703448i
\(163\) −21.2101 + 215.350i −0.130123 + 1.32116i 0.679266 + 0.733892i \(0.262298\pi\)
−0.809389 + 0.587272i \(0.800202\pi\)
\(164\) 21.1505 201.849i 0.128967 1.23079i
\(165\) 17.4164 + 32.5837i 0.105554 + 0.197477i
\(166\) 15.6874 300.243i 0.0945022 1.80869i
\(167\) 228.954 + 152.982i 1.37098 + 0.916059i 0.999921 0.0125499i \(-0.00399488\pi\)
0.371059 + 0.928609i \(0.378995\pi\)
\(168\) 11.1293 + 15.3029i 0.0662459 + 0.0910886i
\(169\) 32.0509 21.4157i 0.189650 0.126720i
\(170\) −78.2405 19.8574i −0.460238 0.116808i
\(171\) −10.4552 8.58032i −0.0611413 0.0501773i
\(172\) 29.3247 5.64341i 0.170492 0.0328105i
\(173\) 111.125 207.901i 0.642344 1.20174i −0.324382 0.945926i \(-0.605156\pi\)
0.966726 0.255814i \(-0.0823436\pi\)
\(174\) −49.2848 + 81.6491i −0.283246 + 0.469248i
\(175\) −16.6134 + 40.1083i −0.0949336 + 0.229190i
\(176\) 217.650 63.0739i 1.23665 0.358374i
\(177\) 68.8163 28.5047i 0.388793 0.161043i
\(178\) 159.260 + 24.1311i 0.894719 + 0.135568i
\(179\) 61.0280 + 201.182i 0.340939 + 1.12392i 0.945023 + 0.327004i \(0.106039\pi\)
−0.604084 + 0.796920i \(0.706461\pi\)
\(180\) 33.1613 + 81.4903i 0.184230 + 0.452724i
\(181\) −20.0243 203.310i −0.110632 1.12326i −0.876877 0.480714i \(-0.840378\pi\)
0.766246 0.642547i \(-0.222122\pi\)
\(182\) −45.1722 33.7205i −0.248199 0.185277i
\(183\) −4.46623 + 22.4533i −0.0244056 + 0.122695i
\(184\) 139.372 48.4041i 0.757455 0.263066i
\(185\) −0.633038 3.18250i −0.00342183 0.0172027i
\(186\) −20.5664 58.0484i −0.110572 0.312088i
\(187\) −200.980 60.9667i −1.07476 0.326025i
\(188\) 52.8572 + 100.388i 0.281156 + 0.533978i
\(189\) −31.2307 + 25.6304i −0.165242 + 0.135611i
\(190\) −8.56812 3.09585i −0.0450954 0.0162940i
\(191\) −309.050 −1.61806 −0.809031 0.587766i \(-0.800008\pi\)
−0.809031 + 0.587766i \(0.800008\pi\)
\(192\) −60.3771 + 10.8412i −0.314464 + 0.0564646i
\(193\) 203.949i 1.05673i 0.849017 + 0.528366i \(0.177195\pi\)
−0.849017 + 0.528366i \(0.822805\pi\)
\(194\) 8.91027 + 3.21948i 0.0459292 + 0.0165953i
\(195\) 18.9019 + 23.0321i 0.0969330 + 0.118113i
\(196\) −50.8470 + 163.937i −0.259423 + 0.836416i
\(197\) −33.1233 + 109.193i −0.168138 + 0.554278i −1.00000 0.000705386i \(-0.999775\pi\)
0.831861 + 0.554984i \(0.187275\pi\)
\(198\) 76.4455 + 215.767i 0.386088 + 1.08973i
\(199\) −350.149 + 69.6491i −1.75954 + 0.349995i −0.966005 0.258523i \(-0.916764\pi\)
−0.793540 + 0.608518i \(0.791764\pi\)
\(200\) −93.5365 105.159i −0.467682 0.525797i
\(201\) −39.6700 7.89085i −0.197363 0.0392579i
\(202\) −146.106 109.067i −0.723297 0.539933i
\(203\) 122.180 12.0336i 0.601870 0.0592790i
\(204\) 52.3898 + 22.0838i 0.256813 + 0.108254i
\(205\) 132.148 40.0867i 0.644625 0.195545i
\(206\) −58.1354 8.80867i −0.282210 0.0427606i
\(207\) 57.0342 + 137.693i 0.275528 + 0.665183i
\(208\) 162.228 84.1314i 0.779940 0.404478i
\(209\) −21.8992 9.07095i −0.104781 0.0434017i
\(210\) −6.65338 + 11.0225i −0.0316828 + 0.0524881i
\(211\) −18.7955 10.0464i −0.0890783 0.0476133i 0.426256 0.904603i \(-0.359832\pi\)
−0.515334 + 0.856989i \(0.672332\pi\)
\(212\) −174.718 118.324i −0.824143 0.558131i
\(213\) −62.3294 + 75.9485i −0.292626 + 0.356566i
\(214\) 121.419 + 30.8160i 0.567379 + 0.144000i
\(215\) 11.2888 + 16.8949i 0.0525059 + 0.0785807i
\(216\) −30.6364 127.343i −0.141835 0.589552i
\(217\) −44.0440 + 65.9165i −0.202968 + 0.303763i
\(218\) 12.4660 238.589i 0.0571837 1.09445i
\(219\) −23.7310 + 12.6845i −0.108361 + 0.0579199i
\(220\) 97.0711 + 119.795i 0.441232 + 0.544524i
\(221\) −168.558 16.6015i −0.762705 0.0751199i
\(222\) 0.105032 + 2.28302i 0.000473117 + 0.0102839i
\(223\) −114.570 + 114.570i −0.513766 + 0.513766i −0.915678 0.401912i \(-0.868346\pi\)
0.401912 + 0.915678i \(0.368346\pi\)
\(224\) 57.6775 + 53.9352i 0.257489 + 0.240782i
\(225\) 100.529 100.529i 0.446797 0.446797i
\(226\) −230.180 + 252.381i −1.01850 + 1.11673i
\(227\) 157.721 + 15.5342i 0.694807 + 0.0684325i 0.439254 0.898363i \(-0.355243\pi\)
0.255552 + 0.966795i \(0.417743\pi\)
\(228\) 5.64000 + 3.05996i 0.0247368 + 0.0134209i
\(229\) 31.2540 16.7056i 0.136480 0.0729502i −0.401743 0.915752i \(-0.631596\pi\)
0.538224 + 0.842802i \(0.319096\pi\)
\(230\) 67.1845 + 74.5922i 0.292107 + 0.324314i
\(231\) −18.6108 + 27.8530i −0.0805662 + 0.120576i
\(232\) −137.580 + 373.473i −0.593017 + 1.60980i
\(233\) 221.967 + 332.197i 0.952648 + 1.42574i 0.904295 + 0.426908i \(0.140397\pi\)
0.0483531 + 0.998830i \(0.484603\pi\)
\(234\) 94.4114 + 158.634i 0.403467 + 0.677923i
\(235\) −48.9726 + 59.6733i −0.208394 + 0.253929i
\(236\) 259.534 171.087i 1.09972 0.724944i
\(237\) 21.8779 + 11.6940i 0.0923118 + 0.0493417i
\(238\) −17.5621 71.0499i −0.0737904 0.298529i
\(239\) 177.075 + 73.3467i 0.740898 + 0.306890i 0.721022 0.692913i \(-0.243673\pi\)
0.0198760 + 0.999802i \(0.493673\pi\)
\(240\) −22.7548 34.9908i −0.0948117 0.145795i
\(241\) −79.7765 192.598i −0.331023 0.799160i −0.998512 0.0545400i \(-0.982631\pi\)
0.667489 0.744620i \(-0.267369\pi\)
\(242\) 94.4199 + 128.143i 0.390165 + 0.529515i
\(243\) 193.321 58.6433i 0.795560 0.241331i
\(244\) −0.595033 + 95.5376i −0.00243866 + 0.391547i
\(245\) −116.226 + 11.4473i −0.474394 + 0.0467237i
\(246\) −96.2549 + 13.9719i −0.391280 + 0.0567962i
\(247\) −18.7484 3.72928i −0.0759043 0.0150983i
\(248\) −130.063 221.667i −0.524447 0.893819i
\(249\) −141.316 + 28.1095i −0.567534 + 0.112890i
\(250\) 99.7793 209.277i 0.399117 0.837108i
\(251\) 71.3509 235.213i 0.284267 0.937102i −0.692250 0.721658i \(-0.743380\pi\)
0.976516 0.215444i \(-0.0691197\pi\)
\(252\) −50.9881 + 61.3460i −0.202334 + 0.243437i
\(253\) 165.700 + 201.906i 0.654941 + 0.798048i
\(254\) −8.73989 + 4.10041i −0.0344090 + 0.0161433i
\(255\) 38.6847i 0.151705i
\(256\) −238.880 + 92.0450i −0.933126 + 0.359551i
\(257\) 508.297 1.97781 0.988904 0.148555i \(-0.0474623\pi\)
0.988904 + 0.148555i \(0.0474623\pi\)
\(258\) −6.07860 12.9564i −0.0235605 0.0502185i
\(259\) 2.27423 1.86641i 0.00878080 0.00720622i
\(260\) 95.6260 + 79.4801i 0.367792 + 0.305693i
\(261\) −384.741 116.710i −1.47411 0.447165i
\(262\) 251.133 + 119.735i 0.958523 + 0.457006i
\(263\) −20.0310 100.703i −0.0761634 0.382899i −1.00000 0.000112257i \(-0.999964\pi\)
0.923837 0.382787i \(-0.125036\pi\)
\(264\) −54.9581 93.6654i −0.208174 0.354793i
\(265\) 28.0108 140.820i 0.105701 0.531396i
\(266\) −1.18656 8.17444i −0.00446075 0.0307310i
\(267\) −7.56642 76.8232i −0.0283387 0.287727i
\(268\) −168.794 1.05129i −0.629828 0.00392273i
\(269\) −9.69646 31.9649i −0.0360463 0.118829i 0.937071 0.349139i \(-0.113526\pi\)
−0.973117 + 0.230310i \(0.926026\pi\)
\(270\) 71.7464 52.8652i 0.265727 0.195797i
\(271\) 225.699 93.4876i 0.832837 0.344973i 0.0748121 0.997198i \(-0.476164\pi\)
0.758025 + 0.652225i \(0.226164\pi\)
\(272\) 232.114 + 49.1837i 0.853360 + 0.180822i
\(273\) −10.3381 + 24.9584i −0.0378686 + 0.0914229i
\(274\) 20.9690 5.18311i 0.0765290 0.0189165i
\(275\) 117.453 219.738i 0.427100 0.799048i
\(276\) −38.9153 59.0335i −0.140997 0.213889i
\(277\) −163.769 134.402i −0.591225 0.485205i 0.290561 0.956857i \(-0.406158\pi\)
−0.881785 + 0.471651i \(0.843658\pi\)
\(278\) −133.856 + 79.6649i −0.481498 + 0.286564i
\(279\) 215.866 144.237i 0.773712 0.516978i
\(280\) −18.5731 + 50.4183i −0.0663325 + 0.180065i
\(281\) 67.9421 + 45.3975i 0.241787 + 0.161557i 0.670560 0.741855i \(-0.266054\pi\)
−0.428773 + 0.903412i \(0.641054\pi\)
\(282\) 40.4000 36.3879i 0.143262 0.129035i
\(283\) −217.366 406.663i −0.768078 1.43697i −0.895471 0.445120i \(-0.853161\pi\)
0.127393 0.991852i \(-0.459339\pi\)
\(284\) −195.533 + 360.400i −0.688497 + 1.26901i
\(285\) −0.427943 + 4.34498i −0.00150155 + 0.0152455i
\(286\) 239.038 + 218.011i 0.835797 + 0.762276i
\(287\) 88.5351 + 88.5351i 0.308485 + 0.308485i
\(288\) −106.913 235.467i −0.371227 0.817593i
\(289\) 48.8569 + 48.8569i 0.169055 + 0.169055i
\(290\) −270.527 + 12.4458i −0.932853 + 0.0429166i
\(291\) 0.445032 4.51849i 0.00152932 0.0155274i
\(292\) −87.2477 + 70.6976i −0.298793 + 0.242115i
\(293\) 32.0352 + 59.9336i 0.109335 + 0.204551i 0.930638 0.365940i \(-0.119253\pi\)
−0.821303 + 0.570492i \(0.806753\pi\)
\(294\) 82.1455 + 4.29202i 0.279407 + 0.0145987i
\(295\) 175.864 + 117.509i 0.596150 + 0.398335i
\(296\) 2.23095 + 9.27316i 0.00753699 + 0.0313282i
\(297\) 192.797 128.823i 0.649149 0.433747i
\(298\) −87.1070 + 343.213i −0.292305 + 1.15172i
\(299\) 162.827 + 133.628i 0.544571 + 0.446918i
\(300\) −37.8206 + 55.8464i −0.126069 + 0.186155i
\(301\) −8.68459 + 16.2477i −0.0288524 + 0.0539791i
\(302\) −386.622 233.372i −1.28020 0.772754i
\(303\) −33.4379 + 80.7263i −0.110356 + 0.266423i
\(304\) 25.5264 + 8.09191i 0.0839685 + 0.0266181i
\(305\) −60.0587 + 24.8771i −0.196914 + 0.0815644i
\(306\) −35.9064 + 236.975i −0.117341 + 0.774427i
\(307\) −125.513 413.759i −0.408836 1.34775i −0.883849 0.467772i \(-0.845057\pi\)
0.475014 0.879978i \(-0.342443\pi\)
\(308\) −54.3020 + 128.821i −0.176305 + 0.418251i
\(309\) 2.76200 + 28.0431i 0.00893852 + 0.0907543i
\(310\) 104.609 140.134i 0.337448 0.452046i
\(311\) 90.0214 452.568i 0.289458 1.45520i −0.512946 0.858421i \(-0.671446\pi\)
0.802403 0.596782i \(-0.203554\pi\)
\(312\) −58.2056 65.4383i −0.186556 0.209738i
\(313\) 59.2547 + 297.894i 0.189312 + 0.951737i 0.952263 + 0.305280i \(0.0987500\pi\)
−0.762951 + 0.646457i \(0.776250\pi\)
\(314\) 122.440 43.3802i 0.389938 0.138154i
\(315\) −51.9395 15.7557i −0.164887 0.0500180i
\(316\) 98.8799 + 30.6687i 0.312911 + 0.0970528i
\(317\) −49.1156 + 40.3082i −0.154939 + 0.127155i −0.708669 0.705541i \(-0.750704\pi\)
0.553730 + 0.832696i \(0.313204\pi\)
\(318\) −34.3648 + 95.1084i −0.108065 + 0.299083i
\(319\) −704.616 −2.20883
\(320\) −120.847 125.449i −0.377646 0.392029i
\(321\) 60.0337i 0.187021i
\(322\) −30.9304 + 85.6034i −0.0960572 + 0.265849i
\(323\) −15.7449 19.1852i −0.0487458 0.0593970i
\(324\) 201.883 106.298i 0.623097 0.328079i
\(325\) 58.3279 192.281i 0.179470 0.591635i
\(326\) 407.937 144.531i 1.25134 0.443346i
\(327\) −112.297 + 22.3373i −0.343417 + 0.0683099i
\(328\) −383.441 + 133.170i −1.16903 + 0.406006i
\(329\) −68.6473 13.6548i −0.208654 0.0415039i
\(330\) 44.2024 59.2138i 0.133947 0.179436i
\(331\) 204.632 20.1545i 0.618225 0.0608898i 0.215943 0.976406i \(-0.430717\pi\)
0.402281 + 0.915516i \(0.368217\pi\)
\(332\) −556.956 + 226.645i −1.67758 + 0.682666i
\(333\) −9.21983 + 2.79680i −0.0276872 + 0.00839881i
\(334\) 82.5035 544.505i 0.247016 1.63026i
\(335\) −43.9524 106.111i −0.131201 0.316748i
\(336\) 18.2538 33.1505i 0.0543268 0.0986623i
\(337\) 379.360 + 157.136i 1.12570 + 0.466279i 0.866316 0.499496i \(-0.166482\pi\)
0.259381 + 0.965775i \(0.416482\pi\)
\(338\) −66.0025 39.8403i −0.195274 0.117871i
\(339\) 144.371 + 77.1678i 0.425872 + 0.227634i
\(340\) 30.5090 + 158.533i 0.0897324 + 0.466274i
\(341\) 288.645 351.715i 0.846466 1.03142i
\(342\) −6.65441 + 26.2192i −0.0194573 + 0.0766644i
\(343\) −126.008 188.584i −0.367369 0.549807i
\(344\) −35.1287 48.3023i −0.102118 0.140414i
\(345\) 26.7285 40.0020i 0.0774738 0.115948i
\(346\) −470.831 24.6004i −1.36078 0.0710995i
\(347\) 319.237 170.636i 0.919993 0.491746i 0.0578007 0.998328i \(-0.481591\pi\)
0.862192 + 0.506582i \(0.169091\pi\)
\(348\) 189.703 + 19.8778i 0.545123 + 0.0571201i
\(349\) −402.672 39.6598i −1.15379 0.113638i −0.497026 0.867736i \(-0.665575\pi\)
−0.656763 + 0.754097i \(0.728075\pi\)
\(350\) 86.7340 3.99026i 0.247811 0.0114007i
\(351\) 132.226 132.226i 0.376711 0.376711i
\(352\) −299.092 340.505i −0.849694 0.967344i
\(353\) −425.623 + 425.623i −1.20573 + 1.20573i −0.233336 + 0.972396i \(0.574964\pi\)
−0.972396 + 0.233336i \(0.925036\pi\)
\(354\) −110.069 100.387i −0.310930 0.283579i
\(355\) −277.647 27.3458i −0.782104 0.0770306i
\(356\) −91.5950 308.860i −0.257289 0.867584i
\(357\) −30.9331 + 16.5341i −0.0866474 + 0.0463140i
\(358\) 312.426 281.399i 0.872697 0.786030i
\(359\) −159.665 + 238.955i −0.444749 + 0.665614i −0.984333 0.176318i \(-0.943581\pi\)
0.539585 + 0.841931i \(0.318581\pi\)
\(360\) 119.379 129.267i 0.331609 0.359075i
\(361\) 199.005 + 297.832i 0.551259 + 0.825018i
\(362\) −351.110 + 208.964i −0.969917 + 0.577248i
\(363\) 48.3924 58.9664i 0.133313 0.162442i
\(364\) −22.6828 + 110.435i −0.0623154 + 0.303393i
\(365\) −67.3862 36.0187i −0.184620 0.0986813i
\(366\) 44.4486 10.9868i 0.121444 0.0300186i
\(367\) 360.049 + 149.137i 0.981059 + 0.406368i 0.814818 0.579717i \(-0.196837\pi\)
0.166241 + 0.986085i \(0.446837\pi\)
\(368\) −206.035 211.233i −0.559878 0.574003i
\(369\) −156.913 378.822i −0.425239 1.02662i
\(370\) −5.22458 + 3.84965i −0.0141205 + 0.0104045i
\(371\) 124.575 37.7893i 0.335780 0.101858i
\(372\) −87.6337 + 86.5488i −0.235574 + 0.232658i
\(373\) −629.632 + 62.0134i −1.68802 + 0.166256i −0.895945 0.444165i \(-0.853500\pi\)
−0.792078 + 0.610420i \(0.791000\pi\)
\(374\) 60.3396 + 415.691i 0.161336 + 1.11147i
\(375\) −108.975 21.6765i −0.290600 0.0578040i
\(376\) 136.865 180.982i 0.364002 0.481335i
\(377\) −557.317 + 110.857i −1.47830 + 0.294051i
\(378\) 72.9370 + 34.7750i 0.192955 + 0.0919973i
\(379\) 56.2372 185.389i 0.148383 0.489154i −0.850966 0.525221i \(-0.823983\pi\)
0.999349 + 0.0360666i \(0.0114828\pi\)
\(380\) 1.67296 + 18.1436i 0.00440252 + 0.0477462i
\(381\) 2.93506 + 3.57638i 0.00770357 + 0.00938683i
\(382\) 262.530 + 559.576i 0.687252 + 1.46486i
\(383\) 49.0013i 0.127941i 0.997952 + 0.0639704i \(0.0203763\pi\)
−0.997952 + 0.0639704i \(0.979624\pi\)
\(384\) 70.9183 + 100.111i 0.184683 + 0.260707i
\(385\) −95.1220 −0.247070
\(386\) 369.277 173.250i 0.956677 0.448834i
\(387\) 46.6377 38.2746i 0.120511 0.0989007i
\(388\) −1.73976 18.8681i −0.00448392 0.0486291i
\(389\) 372.403 + 112.967i 0.957335 + 0.290404i 0.730027 0.683418i \(-0.239507\pi\)
0.227308 + 0.973823i \(0.427007\pi\)
\(390\) 25.6459 53.7896i 0.0657587 0.137922i
\(391\) 53.3541 + 268.229i 0.136456 + 0.686009i
\(392\) 340.024 47.1957i 0.867408 0.120397i
\(393\) 26.0118 130.770i 0.0661879 0.332749i
\(394\) 225.845 32.7826i 0.573212 0.0832045i
\(395\) 6.90451 + 70.1027i 0.0174798 + 0.177475i
\(396\) 325.736 321.703i 0.822565 0.812382i
\(397\) 54.4339 + 179.444i 0.137113 + 0.452001i 0.998427 0.0560725i \(-0.0178578\pi\)
−0.861314 + 0.508074i \(0.830358\pi\)
\(398\) 423.552 + 574.827i 1.06420 + 1.44429i
\(399\) −3.65724 + 1.51488i −0.00916603 + 0.00379669i
\(400\) −110.948 + 258.691i −0.277370 + 0.646726i
\(401\) −84.6399 + 204.339i −0.211072 + 0.509573i −0.993589 0.113057i \(-0.963936\pi\)
0.782516 + 0.622630i \(0.213936\pi\)
\(402\) 19.4113 + 78.5308i 0.0482867 + 0.195350i
\(403\) 172.969 323.602i 0.429203 0.802983i
\(404\) −73.3659 + 357.194i −0.181599 + 0.884143i
\(405\) 120.005 + 98.4856i 0.296309 + 0.243174i
\(406\) −125.577 211.000i −0.309303 0.519704i
\(407\) −14.0395 + 9.38091i −0.0344951 + 0.0230489i
\(408\) −4.51815 113.618i −0.0110739 0.278476i
\(409\) 73.1896 + 48.9037i 0.178948 + 0.119569i 0.641818 0.766857i \(-0.278180\pi\)
−0.462870 + 0.886426i \(0.653180\pi\)
\(410\) −184.839 205.219i −0.450826 0.500534i
\(411\) −4.87971 9.12930i −0.0118728 0.0222124i
\(412\) 33.4353 + 112.745i 0.0811537 + 0.273652i
\(413\) −18.7970 + 190.849i −0.0455133 + 0.462104i
\(414\) 200.862 220.235i 0.485174 0.531968i
\(415\) −289.306 289.306i −0.697123 0.697123i
\(416\) −290.140 222.267i −0.697451 0.534296i
\(417\) 52.7861 + 52.7861i 0.126585 + 0.126585i
\(418\) 2.17869 + 47.3570i 0.00521218 + 0.113294i
\(419\) −29.5693 + 300.222i −0.0705712 + 0.716521i 0.893177 + 0.449706i \(0.148471\pi\)
−0.963748 + 0.266815i \(0.914029\pi\)
\(420\) 25.6096 + 2.68347i 0.0609752 + 0.00638922i
\(421\) 316.000 + 591.195i 0.750594 + 1.40426i 0.908960 + 0.416883i \(0.136877\pi\)
−0.158366 + 0.987380i \(0.550623\pi\)
\(422\) −2.22403 + 42.5660i −0.00527021 + 0.100867i
\(423\) 190.583 + 127.344i 0.450552 + 0.301049i
\(424\) −65.8217 + 416.864i −0.155240 + 0.983169i
\(425\) 216.915 144.938i 0.510389 0.341031i
\(426\) 190.462 + 48.3391i 0.447094 + 0.113472i
\(427\) −45.5618 37.3916i −0.106702 0.0875682i
\(428\) −47.3460 246.023i −0.110622 0.574820i
\(429\) 73.0880 136.738i 0.170368 0.318737i
\(430\) 21.0008 34.7916i 0.0488391 0.0809107i
\(431\) −174.297 + 420.789i −0.404401 + 0.976309i 0.582184 + 0.813057i \(0.302198\pi\)
−0.986584 + 0.163252i \(0.947802\pi\)
\(432\) −204.547 + 163.646i −0.473489 + 0.378811i
\(433\) 497.173 205.936i 1.14820 0.475602i 0.274274 0.961652i \(-0.411563\pi\)
0.873931 + 0.486050i \(0.161563\pi\)
\(434\) 156.765 + 23.7530i 0.361209 + 0.0547305i
\(435\) 37.6745 + 124.196i 0.0866080 + 0.285508i
\(436\) −442.587 + 180.104i −1.01511 + 0.413084i
\(437\) 3.02537 + 30.7171i 0.00692305 + 0.0702909i
\(438\) 43.1258 + 32.1929i 0.0984607 + 0.0734998i
\(439\) −156.019 + 784.363i −0.355397 + 1.78670i 0.227100 + 0.973871i \(0.427075\pi\)
−0.582498 + 0.812832i \(0.697925\pi\)
\(440\) 134.446 277.523i 0.305558 0.630735i
\(441\) 67.6520 + 340.110i 0.153406 + 0.771224i
\(442\) 113.127 + 319.299i 0.255942 + 0.722395i
\(443\) −501.107 152.009i −1.13117 0.343136i −0.331426 0.943481i \(-0.607530\pi\)
−0.799741 + 0.600346i \(0.795030\pi\)
\(444\) 4.04449 2.12954i 0.00910920 0.00479627i
\(445\) 169.445 139.060i 0.380776 0.312494i
\(446\) 304.768 + 110.120i 0.683337 + 0.246905i
\(447\) 169.696 0.379633
\(448\) 48.6612 150.249i 0.108619 0.335378i
\(449\) 822.028i 1.83080i 0.402548 + 0.915399i \(0.368125\pi\)
−0.402548 + 0.915399i \(0.631875\pi\)
\(450\) −267.419 96.6244i −0.594264 0.214721i
\(451\) −455.876 555.486i −1.01081 1.23168i
\(452\) 652.502 + 202.381i 1.44359 + 0.447745i
\(453\) −62.8242 + 207.103i −0.138685 + 0.457182i
\(454\) −105.854 298.771i −0.233158 0.658086i
\(455\) −75.2370 + 14.9656i −0.165356 + 0.0328914i
\(456\) 0.749414 12.8113i 0.00164345 0.0280950i
\(457\) 255.232 + 50.7688i 0.558494 + 0.111091i 0.466263 0.884646i \(-0.345600\pi\)
0.0922314 + 0.995738i \(0.470600\pi\)
\(458\) −56.7972 42.3985i −0.124011 0.0925731i
\(459\) 241.616 23.7971i 0.526397 0.0518456i
\(460\) 77.9875 185.011i 0.169538 0.402197i
\(461\) 134.298 40.7390i 0.291320 0.0883709i −0.141242 0.989975i \(-0.545110\pi\)
0.432562 + 0.901604i \(0.357610\pi\)
\(462\) 66.2410 + 10.0368i 0.143379 + 0.0217248i
\(463\) −156.508 377.843i −0.338030 0.816076i −0.997905 0.0647005i \(-0.979391\pi\)
0.659875 0.751375i \(-0.270609\pi\)
\(464\) 793.094 68.1497i 1.70925 0.146874i
\(465\) −77.4268 32.0712i −0.166509 0.0689704i
\(466\) 412.931 684.094i 0.886119 1.46801i
\(467\) 730.162 + 390.280i 1.56352 + 0.835716i 0.999954 + 0.00964279i \(0.00306944\pi\)
0.563562 + 0.826074i \(0.309431\pi\)
\(468\) 207.028 305.700i 0.442367 0.653205i
\(469\) 66.0627 80.4977i 0.140859 0.171637i
\(470\) 149.647 + 37.9804i 0.318399 + 0.0808093i
\(471\) −34.5855 51.7609i −0.0734300 0.109896i
\(472\) −530.244 324.587i −1.12340 0.687685i
\(473\) 58.7434 87.9157i 0.124193 0.185868i
\(474\) 2.58876 49.5466i 0.00546151 0.104529i
\(475\) 25.9668 13.8795i 0.0546669 0.0292201i
\(476\) −113.727 + 92.1537i −0.238922 + 0.193600i
\(477\) −424.265 41.7865i −0.889445 0.0876027i
\(478\) −17.6167 382.923i −0.0368549 0.801094i
\(479\) 104.497 104.497i 0.218157 0.218157i −0.589564 0.807722i \(-0.700700\pi\)
0.807722 + 0.589564i \(0.200700\pi\)
\(480\) −44.0258 + 70.9244i −0.0917204 + 0.147759i
\(481\) −9.62869 + 9.62869i −0.0200181 + 0.0200181i
\(482\) −280.955 + 308.053i −0.582895 + 0.639114i
\(483\) 43.4103 + 4.27555i 0.0898765 + 0.00885206i
\(484\) 151.812 279.814i 0.313661 0.578128i
\(485\) 11.3704 6.07759i 0.0234441 0.0125311i
\(486\) −270.403 300.218i −0.556385 0.617732i
\(487\) −6.21597 + 9.30285i −0.0127638 + 0.0191024i −0.837797 0.545982i \(-0.816157\pi\)
0.825033 + 0.565085i \(0.191157\pi\)
\(488\) 173.489 80.0795i 0.355510 0.164097i
\(489\) −115.229 172.453i −0.235643 0.352664i
\(490\) 119.458 + 200.719i 0.243793 + 0.409631i
\(491\) −376.418 + 458.667i −0.766635 + 0.934148i −0.999262 0.0384183i \(-0.987768\pi\)
0.232626 + 0.972566i \(0.425268\pi\)
\(492\) 107.064 + 162.414i 0.217610 + 0.330109i
\(493\) −650.654 347.782i −1.31979 0.705440i
\(494\) 9.17392 + 37.1143i 0.0185707 + 0.0751302i
\(495\) 287.797 + 119.209i 0.581407 + 0.240827i
\(496\) −290.872 + 423.797i −0.586436 + 0.854429i
\(497\) −96.8018 233.700i −0.194772 0.470222i
\(498\) 170.941 + 231.993i 0.343254 + 0.465850i
\(499\) −881.562 + 267.419i −1.76666 + 0.535909i −0.994977 0.100102i \(-0.968083\pi\)
−0.771680 + 0.636011i \(0.780583\pi\)
\(500\) −463.684 2.88794i −0.927368 0.00577589i
\(501\) −262.656 + 25.8694i −0.524264 + 0.0516355i
\(502\) −486.494 + 70.6170i −0.969112 + 0.140671i
\(503\) −198.782 39.5403i −0.395194 0.0786089i −0.00650688 0.999979i \(-0.502071\pi\)
−0.388687 + 0.921370i \(0.627071\pi\)
\(504\) 154.388 + 40.2087i 0.306326 + 0.0797792i
\(505\) −243.349 + 48.4050i −0.481878 + 0.0958516i
\(506\) 224.820 471.536i 0.444308 0.931890i
\(507\) −10.7251 + 35.3559i −0.0211540 + 0.0697354i
\(508\) 14.8487 + 12.3415i 0.0292296 + 0.0242944i
\(509\) −366.633 446.743i −0.720300 0.877688i 0.276216 0.961096i \(-0.410920\pi\)
−0.996515 + 0.0834079i \(0.973420\pi\)
\(510\) 70.0438 32.8617i 0.137341 0.0644348i
\(511\) 69.2780i 0.135573i
\(512\) 369.583 + 354.334i 0.721841 + 0.692059i
\(513\) 27.4010 0.0534133
\(514\) −431.786 920.339i −0.840050 1.79054i
\(515\) −61.8533 + 50.7617i −0.120103 + 0.0985664i
\(516\) −18.2956 + 22.0122i −0.0354566 + 0.0426594i
\(517\) 384.407 + 116.609i 0.743534 + 0.225549i
\(518\) −5.31128 2.53232i −0.0102534 0.00488865i
\(519\) 44.0804 + 221.607i 0.0849333 + 0.426989i
\(520\) 62.6772 240.660i 0.120533 0.462808i
\(521\) 74.4963 374.518i 0.142987 0.718845i −0.841061 0.540941i \(-0.818068\pi\)
0.984048 0.177904i \(-0.0569318\pi\)
\(522\) 115.510 + 795.768i 0.221283 + 1.52446i
\(523\) 67.5243 + 685.586i 0.129110 + 1.31087i 0.813418 + 0.581680i \(0.197604\pi\)
−0.684308 + 0.729193i \(0.739896\pi\)
\(524\) 3.46554 556.422i 0.00661363 1.06187i
\(525\) −12.0788 39.8186i −0.0230073 0.0758450i
\(526\) −165.319 + 121.813i −0.314296 + 0.231584i
\(527\) 440.138 182.311i 0.835177 0.345941i
\(528\) −122.908 + 179.075i −0.232780 + 0.339158i
\(529\) −72.2826 + 174.506i −0.136640 + 0.329878i
\(530\) −278.767 + 68.9058i −0.525976 + 0.130011i
\(531\) 296.048 553.867i 0.557529 1.04306i
\(532\) −13.7930 + 9.09241i −0.0259266 + 0.0170910i
\(533\) −447.971 367.640i −0.840471 0.689756i
\(534\) −132.671 + 78.9594i −0.248448 + 0.147864i
\(535\) 141.741 94.7086i 0.264937 0.177025i
\(536\) 141.483 + 306.517i 0.263960 + 0.571860i
\(537\) −167.546 111.951i −0.312004 0.208474i
\(538\) −49.6399 + 44.7102i −0.0922674 + 0.0831044i
\(539\) 286.484 + 535.973i 0.531509 + 0.994384i
\(540\) −156.666 84.9986i −0.290123 0.157405i
\(541\) −89.9942 + 913.726i −0.166348 + 1.68896i 0.443370 + 0.896339i \(0.353783\pi\)
−0.609717 + 0.792619i \(0.708717\pi\)
\(542\) −360.997 329.242i −0.666047 0.607458i
\(543\) 138.460 + 138.460i 0.254990 + 0.254990i
\(544\) −108.122 462.053i −0.198753 0.849363i
\(545\) −229.898 229.898i −0.421832 0.421832i
\(546\) 53.9726 2.48305i 0.0988509 0.00454770i
\(547\) −54.4402 + 552.741i −0.0995251 + 1.01049i 0.807628 + 0.589693i \(0.200751\pi\)
−0.907153 + 0.420802i \(0.861749\pi\)
\(548\) −27.1973 33.5642i −0.0496302 0.0612485i
\(549\) 90.9895 + 170.229i 0.165737 + 0.310072i
\(550\) −497.638 26.0011i −0.904797 0.0472747i
\(551\) −69.2327 46.2598i −0.125649 0.0839561i
\(552\) −73.8303 + 120.609i −0.133751 + 0.218494i
\(553\) −53.1046 + 35.4833i −0.0960300 + 0.0641652i
\(554\) −104.235 + 410.697i −0.188149 + 0.741330i
\(555\) 2.40415 + 1.97304i 0.00433181 + 0.00355502i
\(556\) 257.952 + 174.691i 0.463942 + 0.314193i
\(557\) 486.225 909.664i 0.872936 1.63315i 0.103314 0.994649i \(-0.467055\pi\)
0.769622 0.638500i \(-0.220445\pi\)
\(558\) −444.533 268.328i −0.796653 0.480874i
\(559\) 32.6314 78.7792i 0.0583746 0.140929i
\(560\) 107.066 9.20011i 0.191190 0.0164288i
\(561\) 185.980 77.0356i 0.331516 0.137318i
\(562\) 24.4830 161.582i 0.0435640 0.287513i
\(563\) −232.269 765.687i −0.412556 1.36001i −0.879572 0.475765i \(-0.842171\pi\)
0.467017 0.884248i \(-0.345329\pi\)
\(564\) −100.204 42.2389i −0.177666 0.0748916i
\(565\) 45.5624 + 462.603i 0.0806414 + 0.818766i
\(566\) −551.670 + 739.020i −0.974683 + 1.30569i
\(567\) −27.4602 + 138.052i −0.0484308 + 0.243478i
\(568\) 818.652 + 47.8881i 1.44129 + 0.0843100i
\(569\) −91.4814 459.908i −0.160776 0.808275i −0.974039 0.226379i \(-0.927311\pi\)
0.813263 0.581896i \(-0.197689\pi\)
\(570\) 8.23069 2.91611i 0.0144398 0.00511598i
\(571\) 12.0842 + 3.66570i 0.0211632 + 0.00641978i 0.300849 0.953672i \(-0.402730\pi\)
−0.279685 + 0.960092i \(0.590230\pi\)
\(572\) 191.681 618.005i 0.335107 1.08043i
\(573\) 228.980 187.919i 0.399615 0.327956i
\(574\) 85.0961 235.513i 0.148251 0.410301i
\(575\) −324.444 −0.564250
\(576\) −335.523 + 393.604i −0.582506 + 0.683341i
\(577\) 363.204i 0.629470i −0.949179 0.314735i \(-0.898084\pi\)
0.949179 0.314735i \(-0.101916\pi\)
\(578\) 46.9591 129.965i 0.0812441 0.224852i
\(579\) −124.012 151.109i −0.214183 0.260983i
\(580\) 252.341 + 479.253i 0.435071 + 0.826298i
\(581\) 107.684 354.987i 0.185343 0.610993i
\(582\) −8.55937 + 3.03256i −0.0147068 + 0.00521058i
\(583\) −732.784 + 145.760i −1.25692 + 0.250017i
\(584\) 202.122 + 97.9177i 0.346100 + 0.167667i
\(585\) 246.389 + 49.0098i 0.421177 + 0.0837774i
\(586\) 81.3046 108.916i 0.138745 0.185864i
\(587\) 317.764 31.2970i 0.541336 0.0533169i 0.176346 0.984328i \(-0.443572\pi\)
0.364990 + 0.931011i \(0.381072\pi\)
\(588\) −62.0094 152.381i −0.105458 0.259152i
\(589\) 51.4521 15.6078i 0.0873550 0.0264988i
\(590\) 63.3728 418.247i 0.107411 0.708893i
\(591\) −41.8535 101.043i −0.0708181 0.170970i
\(592\) 14.8951 11.9168i 0.0251607 0.0201296i
\(593\) −712.396 295.084i −1.20134 0.497613i −0.309910 0.950766i \(-0.600299\pi\)
−0.891433 + 0.453153i \(0.850299\pi\)
\(594\) −397.028 239.653i −0.668397 0.403456i
\(595\) −87.8374 46.9500i −0.147626 0.0789076i
\(596\) 695.427 133.832i 1.16682 0.224550i
\(597\) 217.081 264.513i 0.363619 0.443071i
\(598\) 103.635 408.334i 0.173302 0.682832i
\(599\) −350.737 524.915i −0.585537 0.876319i 0.413884 0.910330i \(-0.364172\pi\)
−0.999421 + 0.0340109i \(0.989172\pi\)
\(600\) 133.245 + 21.0390i 0.222075 + 0.0350651i
\(601\) 577.365 864.088i 0.960674 1.43775i 0.0625338 0.998043i \(-0.480082\pi\)
0.898141 0.439708i \(-0.144918\pi\)
\(602\) 36.7960 + 1.92255i 0.0611229 + 0.00319361i
\(603\) −300.758 + 160.758i −0.498769 + 0.266598i
\(604\) −94.1246 + 898.273i −0.155835 + 1.48721i
\(605\) 215.565 + 21.2313i 0.356306 + 0.0350930i
\(606\) 174.570 8.03123i 0.288070 0.0132529i
\(607\) 601.711 601.711i 0.991287 0.991287i −0.00867515 0.999962i \(-0.502761\pi\)
0.999962 + 0.00867515i \(0.00276142\pi\)
\(608\) −7.03259 53.0929i −0.0115668 0.0873238i
\(609\) −83.2075 + 83.2075i −0.136630 + 0.136630i
\(610\) 96.0618 + 87.6118i 0.157478 + 0.143626i
\(611\) 322.394 + 31.7530i 0.527650 + 0.0519690i
\(612\) 459.575 136.291i 0.750940 0.222697i
\(613\) 922.356 493.010i 1.50466 0.804257i 0.506347 0.862330i \(-0.330996\pi\)
0.998312 + 0.0580728i \(0.0184955\pi\)
\(614\) −642.546 + 578.736i −1.04649 + 0.942566i
\(615\) −73.5356 + 110.054i −0.119570 + 0.178949i
\(616\) 279.376 11.1097i 0.453533 0.0180352i
\(617\) 207.377 + 310.361i 0.336105 + 0.503016i 0.960571 0.278036i \(-0.0896834\pi\)
−0.624466 + 0.781052i \(0.714683\pi\)
\(618\) 48.4295 28.8229i 0.0783649 0.0466390i
\(619\) −392.408 + 478.151i −0.633939 + 0.772456i −0.986576 0.163304i \(-0.947785\pi\)
0.352637 + 0.935760i \(0.385285\pi\)
\(620\) −342.594 70.3672i −0.552572 0.113496i
\(621\) −266.286 142.333i −0.428802 0.229199i
\(622\) −895.906 + 221.450i −1.44036 + 0.356029i
\(623\) 183.617 + 76.0568i 0.294731 + 0.122082i
\(624\) −69.0405 + 160.977i −0.110642 + 0.257976i
\(625\) 47.5690 + 114.842i 0.0761104 + 0.183747i
\(626\) 489.040 360.342i 0.781215 0.575626i
\(627\) 21.7411 6.59508i 0.0346747 0.0105185i
\(628\) −182.556 184.844i −0.290694 0.294338i
\(629\) −17.5945 + 1.73291i −0.0279722 + 0.00275503i
\(630\) 15.5936 + 107.427i 0.0247518 + 0.170520i
\(631\) 561.779 + 111.745i 0.890299 + 0.177092i 0.618988 0.785400i \(-0.287543\pi\)
0.271311 + 0.962492i \(0.412543\pi\)
\(632\) −28.4664 205.087i −0.0450417 0.324505i
\(633\) 20.0346 3.98514i 0.0316503 0.00629563i
\(634\) 114.706 + 54.6896i 0.180924 + 0.0862612i
\(635\) −3.81363 + 12.5718i −0.00600571 + 0.0197982i
\(636\) 201.398 18.5703i 0.316664 0.0291985i
\(637\) 310.920 + 378.857i 0.488100 + 0.594751i
\(638\) 598.554 + 1275.80i 0.938172 + 1.99969i
\(639\) 828.387i 1.29638i
\(640\) −124.486 + 325.375i −0.194509 + 0.508399i
\(641\) −516.859 −0.806332 −0.403166 0.915127i \(-0.632090\pi\)
−0.403166 + 0.915127i \(0.632090\pi\)
\(642\) −108.699 + 50.9972i −0.169313 + 0.0794349i
\(643\) 351.694 288.628i 0.546958 0.448877i −0.319886 0.947456i \(-0.603645\pi\)
0.866844 + 0.498579i \(0.166145\pi\)
\(644\) 181.271 16.7144i 0.281477 0.0259540i
\(645\) −18.6370 5.65347i −0.0288946 0.00876507i
\(646\) −21.3625 + 44.8056i −0.0330688 + 0.0693585i
\(647\) −183.042 920.214i −0.282909 1.42228i −0.816896 0.576785i \(-0.804307\pi\)
0.533987 0.845493i \(-0.320693\pi\)
\(648\) −363.961 275.239i −0.561669 0.424752i
\(649\) 214.723 1079.49i 0.330853 1.66331i
\(650\) −397.699 + 57.7279i −0.611845 + 0.0888122i
\(651\) −7.44788 75.6196i −0.0114407 0.116159i
\(652\) −608.225 615.848i −0.932860 0.944553i
\(653\) −38.9327 128.344i −0.0596214 0.196545i 0.922070 0.387023i \(-0.126496\pi\)
−0.981692 + 0.190477i \(0.938996\pi\)
\(654\) 135.839 + 184.354i 0.207704 + 0.281887i
\(655\) 349.789 144.887i 0.534029 0.221202i
\(656\) 566.846 + 581.147i 0.864095 + 0.885894i
\(657\) −86.8210 + 209.604i −0.132148 + 0.319033i
\(658\) 33.5904 + 135.894i 0.0510492 + 0.206526i
\(659\) −216.542 + 405.122i −0.328593 + 0.614753i −0.990919 0.134462i \(-0.957069\pi\)
0.662326 + 0.749216i \(0.269569\pi\)
\(660\) −144.763 29.7337i −0.219338 0.0450510i
\(661\) 515.458 + 423.025i 0.779815 + 0.639978i 0.937687 0.347482i \(-0.112963\pi\)
−0.157872 + 0.987460i \(0.550463\pi\)
\(662\) −210.323 353.393i −0.317708 0.533827i
\(663\) 134.982 90.1918i 0.203592 0.136036i
\(664\) 883.491 + 815.913i 1.33056 + 1.22878i
\(665\) −9.34631 6.24501i −0.0140546 0.00939099i
\(666\) 12.8960 + 14.3179i 0.0193634 + 0.0214983i
\(667\) 432.516 + 809.181i 0.648450 + 1.21317i
\(668\) −1055.98 + 313.161i −1.58081 + 0.468803i
\(669\) 15.2219 154.551i 0.0227533 0.231018i
\(670\) −154.791 + 169.720i −0.231031 + 0.253314i
\(671\) 239.198 + 239.198i 0.356480 + 0.356480i
\(672\) −75.5296 4.89040i −0.112395 0.00727738i
\(673\) 158.655 + 158.655i 0.235743 + 0.235743i 0.815085 0.579341i \(-0.196690\pi\)
−0.579341 + 0.815085i \(0.696690\pi\)
\(674\) −37.7415 820.365i −0.0559962 1.21716i
\(675\) −28.2314 + 286.638i −0.0418242 + 0.424649i
\(676\) −16.0686 + 153.350i −0.0237701 + 0.226849i
\(677\) 473.699 + 886.228i 0.699703 + 1.30905i 0.940936 + 0.338584i \(0.109948\pi\)
−0.241233 + 0.970467i \(0.577552\pi\)
\(678\) 17.0830 326.955i 0.0251962 0.482234i
\(679\) 9.71954 + 6.49439i 0.0143145 + 0.00956464i
\(680\) 261.128 189.911i 0.384012 0.279280i
\(681\) −126.303 + 84.3933i −0.185468 + 0.123926i
\(682\) −882.023 223.857i −1.29329 0.328236i
\(683\) 458.251 + 376.077i 0.670938 + 0.550625i 0.907009 0.421111i \(-0.138360\pi\)
−0.236071 + 0.971736i \(0.575860\pi\)
\(684\) 53.1261 10.2239i 0.0776698 0.0149472i
\(685\) 13.8564 25.9234i 0.0202283 0.0378444i
\(686\) −234.415 + 388.351i −0.341713 + 0.566109i
\(687\) −12.9986 + 31.3815i −0.0189209 + 0.0456791i
\(688\) −57.6166 + 104.637i −0.0837451 + 0.152088i
\(689\) −556.665 + 230.578i −0.807931 + 0.334656i
\(690\) −95.1340 14.4147i −0.137875 0.0208909i
\(691\) 75.0882 + 247.533i 0.108666 + 0.358224i 0.994362 0.106043i \(-0.0338180\pi\)
−0.885696 + 0.464266i \(0.846318\pi\)
\(692\) 355.417 + 873.399i 0.513609 + 1.26214i
\(693\) 27.6839 + 281.079i 0.0399479 + 0.405598i
\(694\) −580.144 433.071i −0.835942 0.624021i
\(695\) −41.3547 + 207.904i −0.0595032 + 0.299143i
\(696\) −125.157 360.368i −0.179823 0.517770i
\(697\) −146.789 737.956i −0.210600 1.05876i
\(698\) 270.251 + 762.782i 0.387179 + 1.09281i
\(699\) −366.452 111.162i −0.524252 0.159030i
\(700\) −80.9033 153.654i −0.115576 0.219505i
\(701\) 89.9705 73.8369i 0.128346 0.105331i −0.568030 0.823008i \(-0.692294\pi\)
0.696376 + 0.717677i \(0.254794\pi\)
\(702\) −351.735 127.090i −0.501046 0.181039i
\(703\) −1.99535 −0.00283833
\(704\) −362.458 + 830.797i −0.514855 + 1.18011i
\(705\) 73.9908i 0.104951i
\(706\) 1132.20 + 409.091i 1.60369 + 0.579449i
\(707\) −142.715 173.898i −0.201859 0.245966i
\(708\) −88.2629 + 284.571i −0.124665 + 0.401937i
\(709\) 28.4030 93.6322i 0.0400607 0.132062i −0.934629 0.355624i \(-0.884268\pi\)
0.974690 + 0.223562i \(0.0717684\pi\)
\(710\) 186.341 + 525.946i 0.262452 + 0.740770i
\(711\) 205.139 40.8047i 0.288522 0.0573906i
\(712\) −481.424 + 428.214i −0.676158 + 0.601424i
\(713\) −581.089 115.586i −0.814992 0.162112i
\(714\) 56.2141 + 41.9632i 0.0787313 + 0.0587720i
\(715\) 438.146 43.1536i 0.612791 0.0603547i
\(716\) −774.908 326.646i −1.08227 0.456210i
\(717\) −175.796 + 53.3271i −0.245182 + 0.0743753i
\(718\) 568.292 + 86.1076i 0.791493 + 0.119927i
\(719\) −301.609 728.148i −0.419484 1.01272i −0.982497 0.186276i \(-0.940358\pi\)
0.563013 0.826448i \(-0.309642\pi\)
\(720\) −335.465 106.343i −0.465924 0.147699i
\(721\) −67.0266 27.7633i −0.0929634 0.0385067i
\(722\) 370.214 613.325i 0.512762 0.849481i
\(723\) 176.217 + 94.1900i 0.243730 + 0.130277i
\(724\) 676.616 + 458.222i 0.934553 + 0.632903i
\(725\) 555.247 676.570i 0.765858 0.933201i
\(726\) −147.875 37.5304i −0.203684 0.0516948i
\(727\) −285.500 427.282i −0.392710 0.587733i 0.581452 0.813581i \(-0.302485\pi\)
−0.974163 + 0.225848i \(0.927485\pi\)
\(728\) 219.226 52.7416i 0.301134 0.0724473i
\(729\) 177.629 265.841i 0.243661 0.364665i
\(730\) −7.97364 + 152.609i −0.0109228 + 0.209053i
\(731\) 97.6378 52.1885i 0.133567 0.0713933i
\(732\) −57.6510 71.1470i −0.0787583 0.0971954i
\(733\) −939.072 92.4905i −1.28113 0.126181i −0.565554 0.824711i \(-0.691338\pi\)
−0.715580 + 0.698530i \(0.753838\pi\)
\(734\) −35.8202 778.604i −0.0488014 1.06077i
\(735\) 79.1533 79.1533i 0.107692 0.107692i
\(736\) −207.444 + 552.491i −0.281853 + 0.750667i
\(737\) −422.610 + 422.610i −0.573420 + 0.573420i
\(738\) −552.614 + 605.912i −0.748799 + 0.821020i
\(739\) −1013.55 99.8264i −1.37152 0.135083i −0.614729 0.788738i \(-0.710735\pi\)
−0.756792 + 0.653655i \(0.773235\pi\)
\(740\) 11.4085 + 6.18961i 0.0154168 + 0.00836434i
\(741\) 16.1585 8.63692i 0.0218064 0.0116558i
\(742\) −174.246 193.458i −0.234832 0.260725i
\(743\) 356.221 533.123i 0.479437 0.717527i −0.510369 0.859956i \(-0.670491\pi\)
0.989805 + 0.142428i \(0.0454910\pi\)
\(744\) 231.151 + 85.1513i 0.310687 + 0.114451i
\(745\) 267.711 + 400.657i 0.359343 + 0.537795i
\(746\) 647.141 + 1087.35i 0.867481 + 1.45758i
\(747\) −770.682 + 939.079i −1.03170 + 1.25713i
\(748\) 701.407 462.373i 0.937710 0.618145i
\(749\) 136.312 + 72.8604i 0.181992 + 0.0972769i
\(750\) 53.3235 + 215.728i 0.0710981 + 0.287637i
\(751\) 683.862 + 283.265i 0.910601 + 0.377183i 0.788287 0.615308i \(-0.210968\pi\)
0.122315 + 0.992491i \(0.460968\pi\)
\(752\) −443.955 94.0717i −0.590366 0.125095i
\(753\) 90.1567 + 217.658i 0.119730 + 0.289054i