Properties

Label 546.2.by.b.115.7
Level $546$
Weight $2$
Character 546.115
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.7
Character \(\chi\) \(=\) 546.115
Dual form 546.2.by.b.19.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.66136 - 0.445159i) q^{5} +(0.258819 + 0.965926i) q^{6} +(2.48285 - 0.914026i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.66136 - 0.445159i) q^{5} +(0.258819 + 0.965926i) q^{6} +(2.48285 - 0.914026i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} -1.71996 q^{10} +(3.98221 - 3.98221i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-1.62078 - 3.22072i) q^{13} +(2.16168 - 1.52549i) q^{14} +(0.445159 - 1.66136i) q^{15} +(0.500000 - 0.866025i) q^{16} +(3.82932 + 6.63258i) q^{17} +(-0.965926 + 0.258819i) q^{18} +(-0.256740 + 0.256740i) q^{19} +(-1.66136 + 0.445159i) q^{20} +(0.914026 + 2.48285i) q^{21} +(2.81585 - 4.87719i) q^{22} +(5.49685 + 3.17361i) q^{23} +(0.707107 + 0.707107i) q^{24} +(-1.76819 - 1.02087i) q^{25} +(-2.39914 - 2.69149i) q^{26} -1.00000i q^{27} +(1.69320 - 2.03300i) q^{28} +(3.90529 + 6.76416i) q^{29} -1.71996i q^{30} +(0.0384066 + 0.143335i) q^{31} +(0.258819 - 0.965926i) q^{32} +(3.98221 + 3.98221i) q^{33} +(5.41548 + 5.41548i) q^{34} +(-4.53179 + 0.413258i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(-1.81158 - 6.76092i) q^{37} +(-0.181543 + 0.314441i) q^{38} +(3.22072 - 1.62078i) q^{39} +(-1.48953 + 0.859981i) q^{40} +(-8.72661 - 2.33829i) q^{41} +(1.52549 + 2.16168i) q^{42} +(-6.41578 - 3.70415i) q^{43} +(1.45759 - 5.43980i) q^{44} +(1.66136 + 0.445159i) q^{45} +(6.13094 + 1.64278i) q^{46} +(0.195741 - 0.730514i) q^{47} +(0.866025 + 0.500000i) q^{48} +(5.32911 - 4.53878i) q^{49} +(-1.97216 - 0.528439i) q^{50} +(-6.63258 + 3.82932i) q^{51} +(-3.01400 - 1.97884i) q^{52} +(0.431525 - 0.747424i) q^{53} +(-0.258819 - 0.965926i) q^{54} +(-8.38858 + 4.84315i) q^{55} +(1.10933 - 2.40196i) q^{56} +(-0.256740 - 0.256740i) q^{57} +(5.52291 + 5.52291i) q^{58} +(0.335934 - 1.25372i) q^{59} +(-0.445159 - 1.66136i) q^{60} +7.79066i q^{61} +(0.0741959 + 0.128511i) q^{62} +(-2.48285 + 0.914026i) q^{63} -1.00000i q^{64} +(1.25896 + 6.07227i) q^{65} +(4.87719 + 2.81585i) q^{66} +(-2.36041 - 2.36041i) q^{67} +(6.63258 + 3.82932i) q^{68} +(-3.17361 + 5.49685i) q^{69} +(-4.27041 + 1.57209i) q^{70} +(-14.4500 + 3.87187i) q^{71} +(-0.707107 + 0.707107i) q^{72} +(-8.44718 + 2.26342i) q^{73} +(-3.49971 - 6.06168i) q^{74} +(1.02087 - 1.76819i) q^{75} +(-0.0939735 + 0.350714i) q^{76} +(6.24739 - 13.5271i) q^{77} +(2.69149 - 2.39914i) q^{78} +(6.10060 + 10.5665i) q^{79} +(-1.21620 + 1.21620i) q^{80} +1.00000 q^{81} -9.03445 q^{82} +(1.17131 - 1.17131i) q^{83} +(2.03300 + 1.69320i) q^{84} +(-3.40931 - 12.7237i) q^{85} +(-7.15588 - 1.91741i) q^{86} +(-6.76416 + 3.90529i) q^{87} -5.63169i q^{88} +(4.04389 - 1.08356i) q^{89} +1.71996 q^{90} +(-6.96799 - 6.51515i) q^{91} +6.34721 q^{92} +(-0.143335 + 0.0384066i) q^{93} -0.756284i q^{94} +(0.540827 - 0.312247i) q^{95} +(0.965926 + 0.258819i) q^{96} +(0.740288 + 2.76279i) q^{97} +(3.97280 - 5.76340i) q^{98} +(-3.98221 + 3.98221i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.00000i 0.577350i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.66136 0.445159i −0.742981 0.199081i −0.132578 0.991173i \(-0.542326\pi\)
−0.610403 + 0.792091i \(0.708992\pi\)
\(6\) 0.258819 + 0.965926i 0.105662 + 0.394338i
\(7\) 2.48285 0.914026i 0.938430 0.345469i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.00000 −0.333333
\(10\) −1.71996 −0.543900
\(11\) 3.98221 3.98221i 1.20068 1.20068i 0.226721 0.973960i \(-0.427200\pi\)
0.973960 0.226721i \(-0.0728004\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) −1.62078 3.22072i −0.449524 0.893268i
\(14\) 2.16168 1.52549i 0.577734 0.407705i
\(15\) 0.445159 1.66136i 0.114940 0.428960i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 3.82932 + 6.63258i 0.928747 + 1.60864i 0.785421 + 0.618962i \(0.212446\pi\)
0.143326 + 0.989676i \(0.454220\pi\)
\(18\) −0.965926 + 0.258819i −0.227671 + 0.0610042i
\(19\) −0.256740 + 0.256740i −0.0589003 + 0.0589003i −0.735943 0.677043i \(-0.763261\pi\)
0.677043 + 0.735943i \(0.263261\pi\)
\(20\) −1.66136 + 0.445159i −0.371490 + 0.0995406i
\(21\) 0.914026 + 2.48285i 0.199457 + 0.541803i
\(22\) 2.81585 4.87719i 0.600340 1.03982i
\(23\) 5.49685 + 3.17361i 1.14617 + 0.661743i 0.947952 0.318415i \(-0.103150\pi\)
0.198221 + 0.980157i \(0.436484\pi\)
\(24\) 0.707107 + 0.707107i 0.144338 + 0.144338i
\(25\) −1.76819 1.02087i −0.353638 0.204173i
\(26\) −2.39914 2.69149i −0.470510 0.527845i
\(27\) 1.00000i 0.192450i
\(28\) 1.69320 2.03300i 0.319985 0.384200i
\(29\) 3.90529 + 6.76416i 0.725194 + 1.25607i 0.958894 + 0.283763i \(0.0915831\pi\)
−0.233701 + 0.972309i \(0.575084\pi\)
\(30\) 1.71996i 0.314021i
\(31\) 0.0384066 + 0.143335i 0.00689803 + 0.0257438i 0.969289 0.245924i \(-0.0790914\pi\)
−0.962391 + 0.271668i \(0.912425\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 3.98221 + 3.98221i 0.693213 + 0.693213i
\(34\) 5.41548 + 5.41548i 0.928747 + 0.928747i
\(35\) −4.53179 + 0.413258i −0.766012 + 0.0698534i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) −1.81158 6.76092i −0.297823 1.11149i −0.938950 0.344054i \(-0.888200\pi\)
0.641127 0.767435i \(-0.278467\pi\)
\(38\) −0.181543 + 0.314441i −0.0294501 + 0.0510091i
\(39\) 3.22072 1.62078i 0.515729 0.259533i
\(40\) −1.48953 + 0.859981i −0.235516 + 0.135975i
\(41\) −8.72661 2.33829i −1.36287 0.365179i −0.497999 0.867178i \(-0.665932\pi\)
−0.864869 + 0.501998i \(0.832598\pi\)
\(42\) 1.52549 + 2.16168i 0.235388 + 0.333555i
\(43\) −6.41578 3.70415i −0.978398 0.564878i −0.0766118 0.997061i \(-0.524410\pi\)
−0.901786 + 0.432183i \(0.857744\pi\)
\(44\) 1.45759 5.43980i 0.219740 0.820080i
\(45\) 1.66136 + 0.445159i 0.247660 + 0.0663604i
\(46\) 6.13094 + 1.64278i 0.903957 + 0.242215i
\(47\) 0.195741 0.730514i 0.0285517 0.106556i −0.950179 0.311703i \(-0.899101\pi\)
0.978731 + 0.205147i \(0.0657672\pi\)
\(48\) 0.866025 + 0.500000i 0.125000 + 0.0721688i
\(49\) 5.32911 4.53878i 0.761302 0.648398i
\(50\) −1.97216 0.528439i −0.278906 0.0747325i
\(51\) −6.63258 + 3.82932i −0.928747 + 0.536212i
\(52\) −3.01400 1.97884i −0.417967 0.274416i
\(53\) 0.431525 0.747424i 0.0592745 0.102667i −0.834865 0.550454i \(-0.814455\pi\)
0.894140 + 0.447788i \(0.147788\pi\)
\(54\) −0.258819 0.965926i −0.0352208 0.131446i
\(55\) −8.38858 + 4.84315i −1.13112 + 0.653050i
\(56\) 1.10933 2.40196i 0.148240 0.320975i
\(57\) −0.256740 0.256740i −0.0340061 0.0340061i
\(58\) 5.52291 + 5.52291i 0.725194 + 0.725194i
\(59\) 0.335934 1.25372i 0.0437349 0.163221i −0.940605 0.339504i \(-0.889741\pi\)
0.984340 + 0.176283i \(0.0564074\pi\)
\(60\) −0.445159 1.66136i −0.0574698 0.214480i
\(61\) 7.79066i 0.997491i 0.866748 + 0.498746i \(0.166206\pi\)
−0.866748 + 0.498746i \(0.833794\pi\)
\(62\) 0.0741959 + 0.128511i 0.00942289 + 0.0163209i
\(63\) −2.48285 + 0.914026i −0.312810 + 0.115156i
\(64\) 1.00000i 0.125000i
\(65\) 1.25896 + 6.07227i 0.156155 + 0.753173i
\(66\) 4.87719 + 2.81585i 0.600340 + 0.346607i
\(67\) −2.36041 2.36041i −0.288370 0.288370i 0.548065 0.836436i \(-0.315365\pi\)
−0.836436 + 0.548065i \(0.815365\pi\)
\(68\) 6.63258 + 3.82932i 0.804319 + 0.464374i
\(69\) −3.17361 + 5.49685i −0.382057 + 0.661743i
\(70\) −4.27041 + 1.57209i −0.510412 + 0.187901i
\(71\) −14.4500 + 3.87187i −1.71490 + 0.459507i −0.976618 0.214982i \(-0.931031\pi\)
−0.738285 + 0.674489i \(0.764364\pi\)
\(72\) −0.707107 + 0.707107i −0.0833333 + 0.0833333i
\(73\) −8.44718 + 2.26342i −0.988668 + 0.264913i −0.716691 0.697391i \(-0.754344\pi\)
−0.271977 + 0.962304i \(0.587677\pi\)
\(74\) −3.49971 6.06168i −0.406833 0.704656i
\(75\) 1.02087 1.76819i 0.117879 0.204173i
\(76\) −0.0939735 + 0.350714i −0.0107795 + 0.0402296i
\(77\) 6.24739 13.5271i 0.711956 1.54155i
\(78\) 2.69149 2.39914i 0.304751 0.271649i
\(79\) 6.10060 + 10.5665i 0.686371 + 1.18883i 0.973004 + 0.230789i \(0.0741307\pi\)
−0.286633 + 0.958041i \(0.592536\pi\)
\(80\) −1.21620 + 1.21620i −0.135975 + 0.135975i
\(81\) 1.00000 0.111111
\(82\) −9.03445 −0.997688
\(83\) 1.17131 1.17131i 0.128568 0.128568i −0.639895 0.768463i \(-0.721022\pi\)
0.768463 + 0.639895i \(0.221022\pi\)
\(84\) 2.03300 + 1.69320i 0.221818 + 0.184743i
\(85\) −3.40931 12.7237i −0.369792 1.38008i
\(86\) −7.15588 1.91741i −0.771638 0.206760i
\(87\) −6.76416 + 3.90529i −0.725194 + 0.418691i
\(88\) 5.63169i 0.600340i
\(89\) 4.04389 1.08356i 0.428651 0.114857i −0.0380417 0.999276i \(-0.512112\pi\)
0.466693 + 0.884419i \(0.345445\pi\)
\(90\) 1.71996 0.181300
\(91\) −6.96799 6.51515i −0.730444 0.682973i
\(92\) 6.34721 0.661743
\(93\) −0.143335 + 0.0384066i −0.0148632 + 0.00398258i
\(94\) 0.756284i 0.0780048i
\(95\) 0.540827 0.312247i 0.0554877 0.0320358i
\(96\) 0.965926 + 0.258819i 0.0985844 + 0.0264156i
\(97\) 0.740288 + 2.76279i 0.0751648 + 0.280519i 0.993271 0.115816i \(-0.0369484\pi\)
−0.918106 + 0.396335i \(0.870282\pi\)
\(98\) 3.97280 5.76340i 0.401314 0.582192i
\(99\) −3.98221 + 3.98221i −0.400227 + 0.400227i
\(100\) −2.04173 −0.204173
\(101\) −7.04385 −0.700889 −0.350445 0.936583i \(-0.613969\pi\)
−0.350445 + 0.936583i \(0.613969\pi\)
\(102\) −5.41548 + 5.41548i −0.536212 + 0.536212i
\(103\) 3.37530 + 5.84620i 0.332579 + 0.576043i 0.983017 0.183516i \(-0.0587480\pi\)
−0.650438 + 0.759559i \(0.725415\pi\)
\(104\) −3.42346 1.13133i −0.335698 0.110936i
\(105\) −0.413258 4.53179i −0.0403299 0.442257i
\(106\) 0.223374 0.833643i 0.0216960 0.0809705i
\(107\) −8.58995 + 14.8782i −0.830422 + 1.43833i 0.0672817 + 0.997734i \(0.478567\pi\)
−0.897704 + 0.440599i \(0.854766\pi\)
\(108\) −0.500000 0.866025i −0.0481125 0.0833333i
\(109\) 5.36017 1.43625i 0.513411 0.137568i 0.00719395 0.999974i \(-0.497710\pi\)
0.506217 + 0.862406i \(0.331043\pi\)
\(110\) −6.84924 + 6.84924i −0.653050 + 0.653050i
\(111\) 6.76092 1.81158i 0.641719 0.171948i
\(112\) 0.449857 2.60723i 0.0425075 0.246360i
\(113\) 6.03531 10.4535i 0.567754 0.983379i −0.429033 0.903289i \(-0.641146\pi\)
0.996788 0.0800906i \(-0.0255209\pi\)
\(114\) −0.314441 0.181543i −0.0294501 0.0170030i
\(115\) −7.71946 7.71946i −0.719843 0.719843i
\(116\) 6.76416 + 3.90529i 0.628036 + 0.362597i
\(117\) 1.62078 + 3.22072i 0.149841 + 0.297756i
\(118\) 1.29795i 0.119486i
\(119\) 15.5700 + 12.9676i 1.42730 + 1.18874i
\(120\) −0.859981 1.48953i −0.0785052 0.135975i
\(121\) 20.7159i 1.88327i
\(122\) 2.01637 + 7.52520i 0.182554 + 0.681299i
\(123\) 2.33829 8.72661i 0.210836 0.786852i
\(124\) 0.104929 + 0.104929i 0.00942289 + 0.00942289i
\(125\) 8.56413 + 8.56413i 0.765999 + 0.765999i
\(126\) −2.16168 + 1.52549i −0.192578 + 0.135902i
\(127\) 3.08064 1.77861i 0.273363 0.157826i −0.357052 0.934084i \(-0.616218\pi\)
0.630415 + 0.776258i \(0.282885\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 3.70415 6.41578i 0.326133 0.564878i
\(130\) 2.78768 + 5.53952i 0.244496 + 0.485848i
\(131\) −15.3929 + 8.88709i −1.34488 + 0.776469i −0.987520 0.157497i \(-0.949658\pi\)
−0.357364 + 0.933965i \(0.616324\pi\)
\(132\) 5.43980 + 1.45759i 0.473473 + 0.126867i
\(133\) −0.402781 + 0.872116i −0.0349256 + 0.0756220i
\(134\) −2.89090 1.66906i −0.249736 0.144185i
\(135\) −0.445159 + 1.66136i −0.0383132 + 0.142987i
\(136\) 7.39768 + 1.98220i 0.634346 + 0.169973i
\(137\) −7.45580 1.99778i −0.636992 0.170682i −0.0741515 0.997247i \(-0.523625\pi\)
−0.562841 + 0.826565i \(0.690292\pi\)
\(138\) −1.64278 + 6.13094i −0.139843 + 0.521900i
\(139\) −5.78099 3.33766i −0.490337 0.283096i 0.234377 0.972146i \(-0.424695\pi\)
−0.724714 + 0.689049i \(0.758028\pi\)
\(140\) −3.71801 + 2.62379i −0.314230 + 0.221750i
\(141\) 0.730514 + 0.195741i 0.0615204 + 0.0164843i
\(142\) −12.9555 + 7.47989i −1.08720 + 0.627698i
\(143\) −19.2799 6.37130i −1.61226 0.532795i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −3.47695 12.9761i −0.288745 1.07761i
\(146\) −7.57354 + 4.37258i −0.626790 + 0.361878i
\(147\) 4.53878 + 5.32911i 0.374353 + 0.439538i
\(148\) −4.94934 4.94934i −0.406833 0.406833i
\(149\) 14.3630 + 14.3630i 1.17667 + 1.17667i 0.980589 + 0.196076i \(0.0628201\pi\)
0.196076 + 0.980589i \(0.437180\pi\)
\(150\) 0.528439 1.97216i 0.0431468 0.161026i
\(151\) 3.82389 + 14.2709i 0.311184 + 1.16135i 0.927490 + 0.373847i \(0.121962\pi\)
−0.616307 + 0.787506i \(0.711372\pi\)
\(152\) 0.363086i 0.0294501i
\(153\) −3.82932 6.63258i −0.309582 0.536212i
\(154\) 2.53345 14.6831i 0.204151 1.18320i
\(155\) 0.255228i 0.0205004i
\(156\) 1.97884 3.01400i 0.158434 0.241313i
\(157\) −8.08225 4.66629i −0.645033 0.372410i 0.141517 0.989936i \(-0.454802\pi\)
−0.786551 + 0.617526i \(0.788135\pi\)
\(158\) 8.62755 + 8.62755i 0.686371 + 0.686371i
\(159\) 0.747424 + 0.431525i 0.0592745 + 0.0342222i
\(160\) −0.859981 + 1.48953i −0.0679875 + 0.117758i
\(161\) 16.5486 + 2.85534i 1.30421 + 0.225032i
\(162\) 0.965926 0.258819i 0.0758903 0.0203347i
\(163\) 6.07415 6.07415i 0.475764 0.475764i −0.428010 0.903774i \(-0.640785\pi\)
0.903774 + 0.428010i \(0.140785\pi\)
\(164\) −8.72661 + 2.33829i −0.681434 + 0.182590i
\(165\) −4.84315 8.38858i −0.377039 0.653050i
\(166\) 0.828241 1.43456i 0.0642840 0.111343i
\(167\) −4.01471 + 14.9831i −0.310668 + 1.15943i 0.617288 + 0.786738i \(0.288232\pi\)
−0.927956 + 0.372691i \(0.878435\pi\)
\(168\) 2.40196 + 1.10933i 0.185315 + 0.0855865i
\(169\) −7.74613 + 10.4402i −0.595856 + 0.803091i
\(170\) −6.58629 11.4078i −0.505145 0.874937i
\(171\) 0.256740 0.256740i 0.0196334 0.0196334i
\(172\) −7.40831 −0.564878
\(173\) 4.55205 0.346086 0.173043 0.984914i \(-0.444640\pi\)
0.173043 + 0.984914i \(0.444640\pi\)
\(174\) −5.52291 + 5.52291i −0.418691 + 0.418691i
\(175\) −5.32325 0.918486i −0.402400 0.0694310i
\(176\) −1.45759 5.43980i −0.109870 0.410040i
\(177\) 1.25372 + 0.335934i 0.0942357 + 0.0252504i
\(178\) 3.62565 2.09327i 0.271754 0.156897i
\(179\) 1.67598i 0.125268i 0.998037 + 0.0626342i \(0.0199502\pi\)
−0.998037 + 0.0626342i \(0.980050\pi\)
\(180\) 1.66136 0.445159i 0.123830 0.0331802i
\(181\) 1.85011 0.137518 0.0687588 0.997633i \(-0.478096\pi\)
0.0687588 + 0.997633i \(0.478096\pi\)
\(182\) −8.41680 4.48970i −0.623895 0.332799i
\(183\) −7.79066 −0.575902
\(184\) 6.13094 1.64278i 0.451979 0.121107i
\(185\) 12.0387i 0.885106i
\(186\) −0.128511 + 0.0741959i −0.00942289 + 0.00544031i
\(187\) 41.6615 + 11.1632i 3.04659 + 0.816331i
\(188\) −0.195741 0.730514i −0.0142759 0.0532782i
\(189\) −0.914026 2.48285i −0.0664856 0.180601i
\(190\) 0.441584 0.441584i 0.0320358 0.0320358i
\(191\) −4.51532 −0.326717 −0.163359 0.986567i \(-0.552233\pi\)
−0.163359 + 0.986567i \(0.552233\pi\)
\(192\) 1.00000 0.0721688
\(193\) −16.7057 + 16.7057i −1.20250 + 1.20250i −0.229100 + 0.973403i \(0.573578\pi\)
−0.973403 + 0.229100i \(0.926422\pi\)
\(194\) 1.43013 + 2.47705i 0.102677 + 0.177842i
\(195\) −6.07227 + 1.25896i −0.434845 + 0.0901560i
\(196\) 2.34576 6.59526i 0.167554 0.471090i
\(197\) 4.81988 17.9880i 0.343402 1.28159i −0.551066 0.834462i \(-0.685779\pi\)
0.894468 0.447132i \(-0.147555\pi\)
\(198\) −2.81585 + 4.87719i −0.200113 + 0.346607i
\(199\) 6.51955 + 11.2922i 0.462159 + 0.800483i 0.999068 0.0431572i \(-0.0137416\pi\)
−0.536909 + 0.843640i \(0.680408\pi\)
\(200\) −1.97216 + 0.528439i −0.139453 + 0.0373663i
\(201\) 2.36041 2.36041i 0.166491 0.166491i
\(202\) −6.80384 + 1.82308i −0.478716 + 0.128272i
\(203\) 15.8789 + 13.2249i 1.11448 + 0.928204i
\(204\) −3.82932 + 6.63258i −0.268106 + 0.464374i
\(205\) 13.4571 + 7.76946i 0.939884 + 0.542642i
\(206\) 4.77340 + 4.77340i 0.332579 + 0.332579i
\(207\) −5.49685 3.17361i −0.382057 0.220581i
\(208\) −3.59962 0.206724i −0.249589 0.0143338i
\(209\) 2.04479i 0.141441i
\(210\) −1.57209 4.27041i −0.108485 0.294686i
\(211\) −8.05119 13.9451i −0.554267 0.960018i −0.997960 0.0638394i \(-0.979665\pi\)
0.443694 0.896179i \(-0.353668\pi\)
\(212\) 0.863050i 0.0592745i
\(213\) −3.87187 14.4500i −0.265296 0.990100i
\(214\) −4.44649 + 16.5945i −0.303956 + 1.13438i
\(215\) 9.00996 + 9.00996i 0.614474 + 0.614474i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) 0.226370 + 0.320776i 0.0153670 + 0.0217757i
\(218\) 4.80580 2.77463i 0.325490 0.187922i
\(219\) −2.26342 8.44718i −0.152947 0.570808i
\(220\) −4.84315 + 8.38858i −0.326525 + 0.565558i
\(221\) 15.1552 23.0832i 1.01945 1.55274i
\(222\) 6.06168 3.49971i 0.406833 0.234885i
\(223\) −13.2808 3.55858i −0.889348 0.238300i −0.214912 0.976633i \(-0.568946\pi\)
−0.674436 + 0.738333i \(0.735613\pi\)
\(224\) −0.240272 2.63482i −0.0160538 0.176046i
\(225\) 1.76819 + 1.02087i 0.117879 + 0.0680577i
\(226\) 3.12411 11.6593i 0.207812 0.775567i
\(227\) 27.0911 + 7.25905i 1.79810 + 0.481800i 0.993679 0.112258i \(-0.0358083\pi\)
0.804422 + 0.594058i \(0.202475\pi\)
\(228\) −0.350714 0.0939735i −0.0232266 0.00622355i
\(229\) 3.78049 14.1090i 0.249822 0.932347i −0.721077 0.692855i \(-0.756352\pi\)
0.970898 0.239492i \(-0.0769809\pi\)
\(230\) −9.45437 5.45848i −0.623403 0.359922i
\(231\) 13.5271 + 6.24739i 0.890016 + 0.411048i
\(232\) 7.54443 + 2.02153i 0.495316 + 0.132720i
\(233\) 0.538452 0.310875i 0.0352751 0.0203661i −0.482259 0.876029i \(-0.660183\pi\)
0.517534 + 0.855663i \(0.326850\pi\)
\(234\) 2.39914 + 2.69149i 0.156837 + 0.175948i
\(235\) −0.650390 + 1.12651i −0.0424268 + 0.0734853i
\(236\) −0.335934 1.25372i −0.0218675 0.0816105i
\(237\) −10.5665 + 6.10060i −0.686371 + 0.396276i
\(238\) 18.3957 + 8.49595i 1.19242 + 0.550711i
\(239\) −11.6685 11.6685i −0.754774 0.754774i 0.220592 0.975366i \(-0.429201\pi\)
−0.975366 + 0.220592i \(0.929201\pi\)
\(240\) −1.21620 1.21620i −0.0785052 0.0785052i
\(241\) 2.39343 8.93241i 0.154175 0.575387i −0.845000 0.534766i \(-0.820400\pi\)
0.999175 0.0406210i \(-0.0129336\pi\)
\(242\) −5.36168 20.0101i −0.344662 1.28630i
\(243\) 1.00000i 0.0641500i
\(244\) 3.89533 + 6.74691i 0.249373 + 0.431926i
\(245\) −10.8740 + 5.16823i −0.694716 + 0.330186i
\(246\) 9.03445i 0.576016i
\(247\) 1.24301 + 0.410770i 0.0790908 + 0.0261367i
\(248\) 0.128511 + 0.0741959i 0.00816046 + 0.00471144i
\(249\) 1.17131 + 1.17131i 0.0742288 + 0.0742288i
\(250\) 10.4889 + 6.05575i 0.663375 + 0.383000i
\(251\) 12.1225 20.9967i 0.765163 1.32530i −0.174998 0.984569i \(-0.555992\pi\)
0.940160 0.340732i \(-0.110675\pi\)
\(252\) −1.69320 + 2.03300i −0.106662 + 0.128067i
\(253\) 34.5275 9.25163i 2.17073 0.581645i
\(254\) 2.51533 2.51533i 0.157826 0.157826i
\(255\) 12.7237 3.40931i 0.796791 0.213500i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.06358 + 8.77038i −0.315858 + 0.547081i −0.979619 0.200863i \(-0.935625\pi\)
0.663762 + 0.747944i \(0.268959\pi\)
\(258\) 1.91741 7.15588i 0.119373 0.445505i
\(259\) −10.6776 15.1305i −0.663471 0.940166i
\(260\) 4.12643 + 4.62926i 0.255910 + 0.287095i
\(261\) −3.90529 6.76416i −0.241731 0.418691i
\(262\) −12.5682 + 12.5682i −0.776469 + 0.776469i
\(263\) −5.35437 −0.330165 −0.165082 0.986280i \(-0.552789\pi\)
−0.165082 + 0.986280i \(0.552789\pi\)
\(264\) 5.63169 0.346607
\(265\) −1.04964 + 1.04964i −0.0644788 + 0.0644788i
\(266\) −0.163337 + 0.946647i −0.0100148 + 0.0580426i
\(267\) 1.08356 + 4.04389i 0.0663126 + 0.247482i
\(268\) −3.22438 0.863971i −0.196961 0.0527754i
\(269\) 14.0802 8.12919i 0.858483 0.495645i −0.00502094 0.999987i \(-0.501598\pi\)
0.863504 + 0.504342i \(0.168265\pi\)
\(270\) 1.71996i 0.104674i
\(271\) 18.3126 4.90684i 1.11241 0.298069i 0.344601 0.938749i \(-0.388014\pi\)
0.767808 + 0.640680i \(0.221348\pi\)
\(272\) 7.65864 0.464374
\(273\) 6.51515 6.96799i 0.394315 0.421722i
\(274\) −7.71881 −0.466311
\(275\) −11.1066 + 2.97600i −0.669753 + 0.179460i
\(276\) 6.34721i 0.382057i
\(277\) 3.95951 2.28602i 0.237904 0.137354i −0.376309 0.926494i \(-0.622807\pi\)
0.614213 + 0.789140i \(0.289474\pi\)
\(278\) −6.44786 1.72770i −0.386717 0.103620i
\(279\) −0.0384066 0.143335i −0.00229934 0.00858127i
\(280\) −2.91224 + 3.49668i −0.174040 + 0.208966i
\(281\) −0.329312 + 0.329312i −0.0196451 + 0.0196451i −0.716861 0.697216i \(-0.754422\pi\)
0.697216 + 0.716861i \(0.254422\pi\)
\(282\) 0.756284 0.0450361
\(283\) −20.9641 −1.24618 −0.623092 0.782148i \(-0.714124\pi\)
−0.623092 + 0.782148i \(0.714124\pi\)
\(284\) −10.5782 + 10.5782i −0.627698 + 0.627698i
\(285\) 0.312247 + 0.540827i 0.0184959 + 0.0320358i
\(286\) −20.2719 1.16421i −1.19871 0.0688410i
\(287\) −23.8041 + 2.17072i −1.40511 + 0.128134i
\(288\) −0.258819 + 0.965926i −0.0152511 + 0.0569177i
\(289\) −20.8274 + 36.0741i −1.22514 + 2.12201i
\(290\) −6.71695 11.6341i −0.394433 0.683177i
\(291\) −2.76279 + 0.740288i −0.161958 + 0.0433964i
\(292\) −6.18377 + 6.18377i −0.361878 + 0.361878i
\(293\) −13.5614 + 3.63378i −0.792268 + 0.212288i −0.632186 0.774816i \(-0.717842\pi\)
−0.160081 + 0.987104i \(0.551176\pi\)
\(294\) 5.76340 + 3.97280i 0.336129 + 0.231699i
\(295\) −1.11621 + 1.93334i −0.0649884 + 0.112563i
\(296\) −6.06168 3.49971i −0.352328 0.203417i
\(297\) −3.98221 3.98221i −0.231071 0.231071i
\(298\) 17.5910 + 10.1562i 1.01902 + 0.588333i
\(299\) 1.31212 22.8476i 0.0758820 1.32131i
\(300\) 2.04173i 0.117879i
\(301\) −19.3151 3.33268i −1.11331 0.192092i
\(302\) 7.38719 + 12.7950i 0.425085 + 0.736269i
\(303\) 7.04385i 0.404659i
\(304\) 0.0939735 + 0.350714i 0.00538975 + 0.0201148i
\(305\) 3.46808 12.9431i 0.198582 0.741117i
\(306\) −5.41548 5.41548i −0.309582 0.309582i
\(307\) −8.18103 8.18103i −0.466916 0.466916i 0.433998 0.900914i \(-0.357102\pi\)
−0.900914 + 0.433998i \(0.857102\pi\)
\(308\) −1.35314 14.8385i −0.0771021 0.845501i
\(309\) −5.84620 + 3.37530i −0.332579 + 0.192014i
\(310\) −0.0660579 0.246532i −0.00375184 0.0140021i
\(311\) 0.769431 1.33269i 0.0436304 0.0755701i −0.843386 0.537309i \(-0.819441\pi\)
0.887016 + 0.461739i \(0.152774\pi\)
\(312\) 1.13133 3.42346i 0.0640490 0.193815i
\(313\) 13.7899 7.96159i 0.779450 0.450016i −0.0567851 0.998386i \(-0.518085\pi\)
0.836235 + 0.548371i \(0.184752\pi\)
\(314\) −9.01457 2.41545i −0.508722 0.136312i
\(315\) 4.53179 0.413258i 0.255337 0.0232845i
\(316\) 10.5665 + 6.10060i 0.594415 + 0.343186i
\(317\) −0.678566 + 2.53244i −0.0381121 + 0.142236i −0.982360 0.186998i \(-0.940124\pi\)
0.944248 + 0.329235i \(0.106791\pi\)
\(318\) 0.833643 + 0.223374i 0.0467484 + 0.0125262i
\(319\) 42.4879 + 11.3846i 2.37887 + 0.637415i
\(320\) −0.445159 + 1.66136i −0.0248851 + 0.0928726i
\(321\) −14.8782 8.58995i −0.830422 0.479444i
\(322\) 16.7238 1.52506i 0.931979 0.0849880i
\(323\) −2.68599 0.719710i −0.149453 0.0400457i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) −0.422075 + 7.34945i −0.0234125 + 0.407674i
\(326\) 4.29507 7.43928i 0.237882 0.412024i
\(327\) 1.43625 + 5.36017i 0.0794250 + 0.296418i
\(328\) −7.82407 + 4.51723i −0.432012 + 0.249422i
\(329\) −0.181714 1.99267i −0.0100182 0.109860i
\(330\) −6.84924 6.84924i −0.377039 0.377039i
\(331\) 5.26324 + 5.26324i 0.289294 + 0.289294i 0.836801 0.547507i \(-0.184423\pi\)
−0.547507 + 0.836801i \(0.684423\pi\)
\(332\) 0.428729 1.60004i 0.0235296 0.0878136i
\(333\) 1.81158 + 6.76092i 0.0992742 + 0.370496i
\(334\) 15.5117i 0.848761i
\(335\) 2.87073 + 4.97224i 0.156845 + 0.271663i
\(336\) 2.60723 + 0.449857i 0.142236 + 0.0245417i
\(337\) 18.7350i 1.02056i −0.860008 0.510280i \(-0.829542\pi\)
0.860008 0.510280i \(-0.170458\pi\)
\(338\) −4.78007 + 12.0893i −0.260002 + 0.657571i
\(339\) 10.4535 + 6.03531i 0.567754 + 0.327793i
\(340\) −9.31442 9.31442i −0.505145 0.505145i
\(341\) 0.723735 + 0.417848i 0.0391924 + 0.0226278i
\(342\) 0.181543 0.314441i 0.00981671 0.0170030i
\(343\) 9.08284 16.1401i 0.490427 0.871482i
\(344\) −7.15588 + 1.91741i −0.385819 + 0.103380i
\(345\) 7.71946 7.71946i 0.415602 0.415602i
\(346\) 4.39694 1.17816i 0.236381 0.0633381i
\(347\) 7.38080 + 12.7839i 0.396222 + 0.686277i 0.993256 0.115939i \(-0.0369877\pi\)
−0.597034 + 0.802216i \(0.703654\pi\)
\(348\) −3.90529 + 6.76416i −0.209345 + 0.362597i
\(349\) 5.94235 22.1772i 0.318087 1.18712i −0.602994 0.797746i \(-0.706026\pi\)
0.921081 0.389371i \(-0.127308\pi\)
\(350\) −5.37959 + 0.490570i −0.287551 + 0.0262221i
\(351\) −3.22072 + 1.62078i −0.171910 + 0.0865109i
\(352\) −2.81585 4.87719i −0.150085 0.259955i
\(353\) 12.9635 12.9635i 0.689978 0.689978i −0.272249 0.962227i \(-0.587767\pi\)
0.962227 + 0.272249i \(0.0877674\pi\)
\(354\) 1.29795 0.0689853
\(355\) 25.7302 1.36562
\(356\) 2.96033 2.96033i 0.156897 0.156897i
\(357\) −12.9676 + 15.5700i −0.686319 + 0.824051i
\(358\) 0.433775 + 1.61887i 0.0229257 + 0.0855600i
\(359\) −10.7643 2.88428i −0.568116 0.152226i −0.0366838 0.999327i \(-0.511679\pi\)
−0.531433 + 0.847101i \(0.678346\pi\)
\(360\) 1.48953 0.859981i 0.0785052 0.0453250i
\(361\) 18.8682i 0.993062i
\(362\) 1.78707 0.478843i 0.0939262 0.0251675i
\(363\) 20.7159 1.08730
\(364\) −9.29203 2.15829i −0.487035 0.113125i
\(365\) 15.0414 0.787300
\(366\) −7.52520 + 2.01637i −0.393348 + 0.105397i
\(367\) 17.0369i 0.889321i 0.895699 + 0.444661i \(0.146676\pi\)
−0.895699 + 0.444661i \(0.853324\pi\)
\(368\) 5.49685 3.17361i 0.286543 0.165436i
\(369\) 8.72661 + 2.33829i 0.454289 + 0.121726i
\(370\) 3.11586 + 11.6285i 0.161986 + 0.604539i
\(371\) 0.388249 2.25017i 0.0201569 0.116823i
\(372\) −0.104929 + 0.104929i −0.00544031 + 0.00544031i
\(373\) 28.5726 1.47943 0.739717 0.672918i \(-0.234959\pi\)
0.739717 + 0.672918i \(0.234959\pi\)
\(374\) 43.1311 2.23026
\(375\) −8.56413 + 8.56413i −0.442250 + 0.442250i
\(376\) −0.378142 0.654961i −0.0195012 0.0337771i
\(377\) 15.4559 23.5411i 0.796017 1.21243i
\(378\) −1.52549 2.16168i −0.0784628 0.111185i
\(379\) −5.26352 + 19.6437i −0.270369 + 1.00903i 0.688513 + 0.725224i \(0.258264\pi\)
−0.958882 + 0.283806i \(0.908403\pi\)
\(380\) 0.312247 0.540827i 0.0160179 0.0277439i
\(381\) 1.77861 + 3.08064i 0.0911209 + 0.157826i
\(382\) −4.36147 + 1.16865i −0.223152 + 0.0597934i
\(383\) 6.01701 6.01701i 0.307455 0.307455i −0.536467 0.843922i \(-0.680241\pi\)
0.843922 + 0.536467i \(0.180241\pi\)
\(384\) 0.965926 0.258819i 0.0492922 0.0132078i
\(385\) −16.4008 + 19.6922i −0.835864 + 1.00361i
\(386\) −11.8127 + 20.4602i −0.601251 + 1.04140i
\(387\) 6.41578 + 3.70415i 0.326133 + 0.188293i
\(388\) 2.02250 + 2.02250i 0.102677 + 0.102677i
\(389\) 16.6395 + 9.60684i 0.843658 + 0.487086i 0.858506 0.512804i \(-0.171393\pi\)
−0.0148482 + 0.999890i \(0.504727\pi\)
\(390\) −5.53952 + 2.78768i −0.280505 + 0.141160i
\(391\) 48.6111i 2.45837i
\(392\) 0.558848 6.97766i 0.0282261 0.352425i
\(393\) −8.88709 15.3929i −0.448294 0.776469i
\(394\) 18.6226i 0.938192i
\(395\) −5.43147 20.2705i −0.273287 1.01992i
\(396\) −1.45759 + 5.43980i −0.0732466 + 0.273360i
\(397\) −21.8088 21.8088i −1.09455 1.09455i −0.995036 0.0995182i \(-0.968270\pi\)
−0.0995182 0.995036i \(-0.531730\pi\)
\(398\) 9.22004 + 9.22004i 0.462159 + 0.462159i
\(399\) −0.872116 0.402781i −0.0436604 0.0201643i
\(400\) −1.76819 + 1.02087i −0.0884095 + 0.0510433i
\(401\) 7.41193 + 27.6617i 0.370134 + 1.38136i 0.860326 + 0.509744i \(0.170260\pi\)
−0.490192 + 0.871614i \(0.663073\pi\)
\(402\) 1.66906 2.89090i 0.0832453 0.144185i
\(403\) 0.399395 0.356013i 0.0198953 0.0177343i
\(404\) −6.10015 + 3.52192i −0.303494 + 0.175222i
\(405\) −1.66136 0.445159i −0.0825534 0.0221201i
\(406\) 18.7607 + 8.66449i 0.931076 + 0.430011i
\(407\) −34.1375 19.7093i −1.69213 0.976953i
\(408\) −1.98220 + 7.39768i −0.0981337 + 0.366240i
\(409\) 5.27949 + 1.41464i 0.261054 + 0.0699492i 0.386972 0.922091i \(-0.373521\pi\)
−0.125918 + 0.992041i \(0.540188\pi\)
\(410\) 15.0094 + 4.02177i 0.741263 + 0.198621i
\(411\) 1.99778 7.45580i 0.0985430 0.367768i
\(412\) 5.84620 + 3.37530i 0.288022 + 0.166289i
\(413\) −0.311861 3.41987i −0.0153457 0.168281i
\(414\) −6.13094 1.64278i −0.301319 0.0807382i
\(415\) −2.46738 + 1.42454i −0.121119 + 0.0699281i
\(416\) −3.53047 + 0.731970i −0.173096 + 0.0358878i
\(417\) 3.33766 5.78099i 0.163446 0.283096i
\(418\) 0.529230 + 1.97511i 0.0258855 + 0.0966059i
\(419\) 12.2654 7.08143i 0.599204 0.345950i −0.169525 0.985526i \(-0.554223\pi\)
0.768728 + 0.639576i \(0.220890\pi\)
\(420\) −2.62379 3.71801i −0.128028 0.181421i
\(421\) 13.1845 + 13.1845i 0.642573 + 0.642573i 0.951187 0.308614i \(-0.0998653\pi\)
−0.308614 + 0.951187i \(0.599865\pi\)
\(422\) −11.3861 11.3861i −0.554267 0.554267i
\(423\) −0.195741 + 0.730514i −0.00951724 + 0.0355188i
\(424\) −0.223374 0.833643i −0.0108480 0.0404853i
\(425\) 15.6369i 0.758500i
\(426\) −7.47989 12.9555i −0.362402 0.627698i
\(427\) 7.12086 + 19.3431i 0.344603 + 0.936076i
\(428\) 17.1799i 0.830422i
\(429\) 6.37130 19.2799i 0.307609 0.930841i
\(430\) 11.0349 + 6.37100i 0.532150 + 0.307237i
\(431\) −10.1553 10.1553i −0.489162 0.489162i 0.418880 0.908042i \(-0.362423\pi\)
−0.908042 + 0.418880i \(0.862423\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 11.0126 19.0743i 0.529230 0.916653i −0.470189 0.882566i \(-0.655814\pi\)
0.999419 0.0340875i \(-0.0108525\pi\)
\(434\) 0.301680 + 0.251257i 0.0144811 + 0.0120607i
\(435\) 12.9761 3.47695i 0.622158 0.166707i
\(436\) 3.92392 3.92392i 0.187922 0.187922i
\(437\) −2.22606 + 0.596470i −0.106487 + 0.0285330i
\(438\) −4.37258 7.57354i −0.208930 0.361878i
\(439\) −6.61018 + 11.4492i −0.315487 + 0.546439i −0.979541 0.201245i \(-0.935501\pi\)
0.664054 + 0.747685i \(0.268834\pi\)
\(440\) −2.50700 + 9.35624i −0.119516 + 0.446041i
\(441\) −5.32911 + 4.53878i −0.253767 + 0.216133i
\(442\) 8.66446 26.2191i 0.412126 1.24711i
\(443\) −17.8431 30.9052i −0.847752 1.46835i −0.883210 0.468978i \(-0.844622\pi\)
0.0354579 0.999371i \(-0.488711\pi\)
\(444\) 4.94934 4.94934i 0.234885 0.234885i
\(445\) −7.20069 −0.341346
\(446\) −13.7493 −0.651048
\(447\) −14.3630 + 14.3630i −0.679348 + 0.679348i
\(448\) −0.914026 2.48285i −0.0431837 0.117304i
\(449\) −1.32333 4.93874i −0.0624519 0.233074i 0.927644 0.373465i \(-0.121831\pi\)
−0.990096 + 0.140392i \(0.955164\pi\)
\(450\) 1.97216 + 0.528439i 0.0929685 + 0.0249108i
\(451\) −44.0627 + 25.4396i −2.07483 + 1.19790i
\(452\) 12.0706i 0.567754i
\(453\) −14.2709 + 3.82389i −0.670508 + 0.179662i
\(454\) 28.0468 1.31630
\(455\) 8.67603 + 13.9258i 0.406739 + 0.652853i
\(456\) −0.363086 −0.0170030
\(457\) −19.9569 + 5.34744i −0.933546 + 0.250143i −0.693366 0.720586i \(-0.743873\pi\)
−0.240180 + 0.970728i \(0.577206\pi\)
\(458\) 14.6067i 0.682526i
\(459\) 6.63258 3.82932i 0.309582 0.178737i
\(460\) −10.5450 2.82552i −0.491662 0.131741i
\(461\) −1.92392 7.18018i −0.0896060 0.334414i 0.906541 0.422119i \(-0.138713\pi\)
−0.996147 + 0.0877047i \(0.972047\pi\)
\(462\) 14.6831 + 2.53345i 0.683119 + 0.117867i
\(463\) 2.57262 2.57262i 0.119560 0.119560i −0.644795 0.764355i \(-0.723057\pi\)
0.764355 + 0.644795i \(0.223057\pi\)
\(464\) 7.81057 0.362597
\(465\) 0.255228 0.0118359
\(466\) 0.439644 0.439644i 0.0203661 0.0203661i
\(467\) −4.99519 8.65193i −0.231150 0.400363i 0.726997 0.686641i \(-0.240915\pi\)
−0.958147 + 0.286277i \(0.907582\pi\)
\(468\) 3.01400 + 1.97884i 0.139322 + 0.0914718i
\(469\) −8.01804 3.70308i −0.370238 0.170992i
\(470\) −0.336667 + 1.25646i −0.0155293 + 0.0579560i
\(471\) 4.66629 8.08225i 0.215011 0.372410i
\(472\) −0.648975 1.12406i −0.0298715 0.0517390i
\(473\) −40.2997 + 10.7983i −1.85298 + 0.496505i
\(474\) −8.62755 + 8.62755i −0.396276 + 0.396276i
\(475\) 0.716063 0.191869i 0.0328552 0.00880353i
\(476\) 19.9678 + 3.44529i 0.915224 + 0.157915i
\(477\) −0.431525 + 0.747424i −0.0197582 + 0.0342222i
\(478\) −14.2910 8.25089i −0.653653 0.377387i
\(479\) 17.6146 + 17.6146i 0.804833 + 0.804833i 0.983847 0.179014i \(-0.0572907\pi\)
−0.179014 + 0.983847i \(0.557291\pi\)
\(480\) −1.48953 0.859981i −0.0679875 0.0392526i
\(481\) −18.8389 + 16.7926i −0.858980 + 0.765676i
\(482\) 9.24751i 0.421213i
\(483\) −2.85534 + 16.5486i −0.129922 + 0.752988i
\(484\) −10.3580 17.9405i −0.470817 0.815479i
\(485\) 4.91952i 0.223384i
\(486\) 0.258819 + 0.965926i 0.0117403 + 0.0438153i
\(487\) −8.18459 + 30.5453i −0.370879 + 1.38414i 0.488395 + 0.872623i \(0.337583\pi\)
−0.859274 + 0.511516i \(0.829084\pi\)
\(488\) 5.50883 + 5.50883i 0.249373 + 0.249373i
\(489\) 6.07415 + 6.07415i 0.274682 + 0.274682i
\(490\) −9.16587 + 7.80653i −0.414072 + 0.352663i
\(491\) −6.01809 + 3.47455i −0.271593 + 0.156804i −0.629611 0.776910i \(-0.716786\pi\)
0.358019 + 0.933714i \(0.383452\pi\)
\(492\) −2.33829 8.72661i −0.105418 0.393426i
\(493\) −29.9092 + 51.8043i −1.34704 + 2.33315i
\(494\) 1.30697 + 0.0750586i 0.0588034 + 0.00337705i
\(495\) 8.38858 4.84315i 0.377039 0.217683i
\(496\) 0.143335 + 0.0384066i 0.00643595 + 0.00172451i
\(497\) −32.3383 + 22.8210i −1.45057 + 1.02366i
\(498\) 1.43456 + 0.828241i 0.0642840 + 0.0371144i
\(499\) 7.18554 26.8168i 0.321669 1.20049i −0.595949 0.803022i \(-0.703224\pi\)
0.917618 0.397463i \(-0.130109\pi\)
\(500\) 11.6988 + 3.13469i 0.523187 + 0.140188i
\(501\) −14.9831 4.01471i −0.669396 0.179364i
\(502\) 6.27505 23.4188i 0.280069 1.04523i
\(503\) −25.2684 14.5887i −1.12666 0.650478i −0.183568 0.983007i \(-0.558765\pi\)
−0.943093 + 0.332529i \(0.892098\pi\)
\(504\) −1.10933 + 2.40196i −0.0494134 + 0.106992i
\(505\) 11.7023 + 3.13563i 0.520747 + 0.139534i
\(506\) 30.9565 17.8728i 1.37619 0.794542i
\(507\) −10.4402 7.74613i −0.463665 0.344018i
\(508\) 1.77861 3.08064i 0.0789130 0.136681i
\(509\) 7.52241 + 28.0740i 0.333425 + 1.24436i 0.905567 + 0.424204i \(0.139446\pi\)
−0.572142 + 0.820155i \(0.693887\pi\)
\(510\) 11.4078 6.58629i 0.505145 0.291646i
\(511\) −18.9043 + 13.3407i −0.836276 + 0.590156i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 0.256740 + 0.256740i 0.0113354 + 0.0113354i
\(514\) −2.62110 + 9.78209i −0.115612 + 0.431469i
\(515\) −3.00509 11.2152i −0.132420 0.494199i
\(516\) 7.40831i 0.326133i
\(517\) −2.12958 3.68854i −0.0936588 0.162222i
\(518\) −14.2298 11.8514i −0.625222 0.520722i
\(519\) 4.55205i 0.199813i
\(520\) 5.18397 + 3.40353i 0.227332 + 0.149255i
\(521\) −19.8371 11.4529i −0.869077 0.501762i −0.00203587 0.999998i \(-0.500648\pi\)
−0.867042 + 0.498236i \(0.833981\pi\)
\(522\) −5.52291 5.52291i −0.241731 0.241731i
\(523\) −30.7302 17.7421i −1.34374 0.775807i −0.356384 0.934340i \(-0.615991\pi\)
−0.987354 + 0.158532i \(0.949324\pi\)
\(524\) −8.88709 + 15.3929i −0.388234 + 0.672442i
\(525\) 0.918486 5.32325i 0.0400860 0.232326i
\(526\) −5.17192 + 1.38581i −0.225507 + 0.0604243i
\(527\) −0.803613 + 0.803613i −0.0350059 + 0.0350059i
\(528\) 5.43980 1.45759i 0.236737 0.0634334i
\(529\) 8.64356 + 14.9711i 0.375807 + 0.650917i
\(530\) −0.742207 + 1.28554i −0.0322394 + 0.0558403i
\(531\) −0.335934 + 1.25372i −0.0145783 + 0.0544070i
\(532\) 0.0872392 + 0.956665i 0.00378230 + 0.0414767i
\(533\) 6.61295 + 31.8959i 0.286439 + 1.38156i
\(534\) 2.09327 + 3.62565i 0.0905847 + 0.156897i
\(535\) 20.8941 20.8941i 0.903333 0.903333i
\(536\) −3.33813 −0.144185
\(537\) −1.67598 −0.0723238
\(538\) 11.4964 11.4964i 0.495645 0.495645i
\(539\) 3.14726 39.2960i 0.135562 1.69260i
\(540\) 0.445159 + 1.66136i 0.0191566 + 0.0714934i
\(541\) 17.3492 + 4.64871i 0.745901 + 0.199864i 0.611699 0.791090i \(-0.290486\pi\)
0.134202 + 0.990954i \(0.457153\pi\)
\(542\) 16.4186 9.47928i 0.705239 0.407170i
\(543\) 1.85011i 0.0793958i
\(544\) 7.39768 1.98220i 0.317173 0.0849863i
\(545\) −9.54451 −0.408842
\(546\) 4.48970 8.41680i 0.192141 0.360206i
\(547\) 13.7457 0.587723 0.293862 0.955848i \(-0.405060\pi\)
0.293862 + 0.955848i \(0.405060\pi\)
\(548\) −7.45580 + 1.99778i −0.318496 + 0.0853408i
\(549\) 7.79066i 0.332497i
\(550\) −9.95790 + 5.74920i −0.424606 + 0.245147i
\(551\) −2.73928 0.733987i −0.116697 0.0312689i
\(552\) 1.64278 + 6.13094i 0.0699214 + 0.260950i
\(553\) 24.8050 + 20.6591i 1.05482 + 0.878513i
\(554\) 3.23292 3.23292i 0.137354 0.137354i
\(555\) −12.0387 −0.511016
\(556\) −6.67532 −0.283096
\(557\) −3.17599 + 3.17599i −0.134571 + 0.134571i −0.771184 0.636613i \(-0.780335\pi\)
0.636613 + 0.771184i \(0.280335\pi\)
\(558\) −0.0741959 0.128511i −0.00314096 0.00544031i
\(559\) −1.53148 + 26.6671i −0.0647746 + 1.12790i
\(560\) −1.90800 + 4.13127i −0.0806278 + 0.174578i
\(561\) −11.1632 + 41.6615i −0.471309 + 1.75895i
\(562\) −0.232859 + 0.403323i −0.00982255 + 0.0170132i
\(563\) 3.02684 + 5.24264i 0.127566 + 0.220951i 0.922733 0.385440i \(-0.125950\pi\)
−0.795167 + 0.606390i \(0.792617\pi\)
\(564\) 0.730514 0.195741i 0.0307602 0.00824217i
\(565\) −14.6803 + 14.6803i −0.617603 + 0.617603i
\(566\) −20.2497 + 5.42590i −0.851160 + 0.228068i
\(567\) 2.48285 0.914026i 0.104270 0.0383855i
\(568\) −7.47989 + 12.9555i −0.313849 + 0.543602i
\(569\) 19.9649 + 11.5267i 0.836973 + 0.483226i 0.856234 0.516588i \(-0.172798\pi\)
−0.0192614 + 0.999814i \(0.506131\pi\)
\(570\) 0.441584 + 0.441584i 0.0184959 + 0.0184959i
\(571\) −23.8718 13.7824i −0.999005 0.576776i −0.0910513 0.995846i \(-0.529023\pi\)
−0.907954 + 0.419070i \(0.862356\pi\)
\(572\) −19.8825 + 4.12223i −0.831330 + 0.172359i
\(573\) 4.51532i 0.188630i
\(574\) −22.4312 + 8.25772i −0.936261 + 0.344671i
\(575\) −6.47965 11.2231i −0.270220 0.468035i
\(576\) 1.00000i 0.0416667i
\(577\) −11.7744 43.9428i −0.490176 1.82936i −0.555524 0.831501i \(-0.687482\pi\)
0.0653474 0.997863i \(-0.479184\pi\)
\(578\) −10.7811 + 40.2355i −0.448433 + 1.67358i
\(579\) −16.7057 16.7057i −0.694265 0.694265i
\(580\) −9.49919 9.49919i −0.394433 0.394433i
\(581\) 1.83758 3.97880i 0.0762358 0.165068i
\(582\) −2.47705 + 1.43013i −0.102677 + 0.0592806i
\(583\) −1.25797 4.69482i −0.0520999 0.194439i
\(584\) −4.37258 + 7.57354i −0.180939 + 0.313395i
\(585\) −1.25896 6.07227i −0.0520516 0.251058i
\(586\) −12.1589 + 7.01992i −0.502278 + 0.289990i
\(587\) −42.4335 11.3700i −1.75142 0.469291i −0.766489 0.642257i \(-0.777998\pi\)
−0.984928 + 0.172966i \(0.944665\pi\)
\(588\) 6.59526 + 2.34576i 0.271984 + 0.0967373i
\(589\) −0.0466605 0.0269395i −0.00192261 0.00111002i
\(590\) −0.577794 + 2.15636i −0.0237874 + 0.0887759i
\(591\) 17.9880 + 4.81988i 0.739929 + 0.198263i
\(592\) −6.76092 1.81158i −0.277872 0.0744557i
\(593\) −3.48718 + 13.0143i −0.143201 + 0.534434i 0.856628 + 0.515935i \(0.172555\pi\)
−0.999829 + 0.0184992i \(0.994111\pi\)
\(594\) −4.87719 2.81585i −0.200113 0.115536i
\(595\) −20.0946 28.4750i −0.823800 1.16736i
\(596\) 19.6203 + 5.25723i 0.803677 + 0.215345i
\(597\) −11.2922 + 6.51955i −0.462159 + 0.266828i
\(598\) −4.64597 22.4086i −0.189988 0.916358i
\(599\) −7.08320 + 12.2685i −0.289412 + 0.501276i −0.973669 0.227965i \(-0.926793\pi\)
0.684258 + 0.729240i \(0.260126\pi\)
\(600\) −0.528439 1.97216i −0.0215734 0.0805131i
\(601\) 32.7519 18.9093i 1.33598 0.771327i 0.349769 0.936836i \(-0.386260\pi\)
0.986208 + 0.165509i \(0.0529266\pi\)
\(602\) −19.5195 + 1.78001i −0.795557 + 0.0725477i
\(603\) 2.36041 + 2.36041i 0.0961234 + 0.0961234i
\(604\) 10.4471 + 10.4471i 0.425085 + 0.425085i
\(605\) −9.22189 + 34.4165i −0.374923 + 1.39923i
\(606\) −1.82308 6.80384i −0.0740576 0.276387i
\(607\) 41.0746i 1.66717i −0.552394 0.833583i \(-0.686286\pi\)
0.552394 0.833583i \(-0.313714\pi\)
\(608\) 0.181543 + 0.314441i 0.00736254 + 0.0127523i
\(609\) −13.2249 + 15.8789i −0.535899 + 0.643444i
\(610\) 13.3996i 0.542535i
\(611\) −2.67004 + 0.553577i −0.108018 + 0.0223953i
\(612\) −6.63258 3.82932i −0.268106 0.154791i
\(613\) 16.7901 + 16.7901i 0.678145 + 0.678145i 0.959580 0.281435i \(-0.0908104\pi\)
−0.281435 + 0.959580i \(0.590810\pi\)
\(614\) −10.0197 5.78486i −0.404361 0.233458i
\(615\) −7.76946 + 13.4571i −0.313295 + 0.542642i
\(616\) −5.14751 13.9827i −0.207399 0.563377i
\(617\) −22.7619 + 6.09903i −0.916358 + 0.245538i −0.686028 0.727575i \(-0.740647\pi\)
−0.230330 + 0.973113i \(0.573981\pi\)
\(618\) −4.77340 + 4.77340i −0.192014 + 0.192014i
\(619\) 11.2303 3.00915i 0.451384 0.120948i −0.0259629 0.999663i \(-0.508265\pi\)
0.477347 + 0.878715i \(0.341599\pi\)
\(620\) −0.127614 0.221034i −0.00512511 0.00887695i
\(621\) 3.17361 5.49685i 0.127352 0.220581i
\(622\) 0.398287 1.48643i 0.0159698 0.0596002i
\(623\) 9.04998 6.38653i 0.362580 0.255871i
\(624\) 0.206724 3.59962i 0.00827559 0.144100i
\(625\) −5.31134 9.19952i −0.212454 0.367981i
\(626\) 11.2594 11.2594i 0.450016 0.450016i
\(627\) −2.04479 −0.0816609
\(628\) −9.33257 −0.372410
\(629\) 37.9052 37.9052i 1.51138 1.51138i
\(630\) 4.27041 1.57209i 0.170137 0.0626336i
\(631\) −2.59285 9.67665i −0.103220 0.385222i 0.894917 0.446232i \(-0.147234\pi\)
−0.998137 + 0.0610104i \(0.980568\pi\)
\(632\) 11.7855 + 3.15790i 0.468800 + 0.125615i
\(633\) 13.9451 8.05119i 0.554267 0.320006i
\(634\) 2.62178i 0.104124i
\(635\) −5.90980 + 1.58353i −0.234523 + 0.0628403i
\(636\) 0.863050 0.0342222
\(637\) −23.2555 9.80723i −0.921416 0.388577i
\(638\) 43.9867 1.74145
\(639\) 14.4500 3.87187i 0.571634 0.153169i
\(640\) 1.71996i 0.0679875i
\(641\) 24.3035 14.0316i 0.959931 0.554216i 0.0637792 0.997964i \(-0.479685\pi\)
0.896152 + 0.443748i \(0.146351\pi\)
\(642\) −16.5945 4.44649i −0.654933 0.175489i
\(643\) 3.74858 + 13.9899i 0.147830 + 0.551708i 0.999613 + 0.0278139i \(0.00885459\pi\)
−0.851783 + 0.523894i \(0.824479\pi\)
\(644\) 15.7592 5.80152i 0.620999 0.228612i
\(645\) −9.00996 + 9.00996i −0.354767 + 0.354767i
\(646\) −2.78074 −0.109407
\(647\) 3.35527 0.131909 0.0659545 0.997823i \(-0.478991\pi\)
0.0659545 + 0.997823i \(0.478991\pi\)
\(648\) 0.707107 0.707107i 0.0277778 0.0277778i
\(649\) −3.65483 6.33035i −0.143465 0.248488i
\(650\) 1.49449 + 7.20827i 0.0586185 + 0.282732i
\(651\) −0.320776 + 0.226370i −0.0125722 + 0.00887215i
\(652\) 2.22329 8.29744i 0.0870708 0.324953i
\(653\) −19.4159 + 33.6292i −0.759801 + 1.31601i 0.183151 + 0.983085i \(0.441370\pi\)
−0.942952 + 0.332929i \(0.891963\pi\)
\(654\) 2.77463 + 4.80580i 0.108497 + 0.187922i
\(655\) 29.5292 7.91234i 1.15380 0.309161i
\(656\) −6.38832 + 6.38832i −0.249422 + 0.249422i
\(657\) 8.44718 2.26342i 0.329556 0.0883043i
\(658\) −0.691263 1.87774i −0.0269483 0.0732020i
\(659\) −18.4258 + 31.9145i −0.717769 + 1.24321i 0.244113 + 0.969747i \(0.421503\pi\)
−0.961882 + 0.273465i \(0.911830\pi\)
\(660\) −8.38858 4.84315i −0.326525 0.188519i
\(661\) −14.7779 14.7779i −0.574793 0.574793i 0.358671 0.933464i \(-0.383230\pi\)
−0.933464 + 0.358671i \(0.883230\pi\)
\(662\) 6.44612 + 3.72167i 0.250536 + 0.144647i
\(663\) 23.0832 + 15.1552i 0.896476 + 0.588580i
\(664\) 1.65648i 0.0642840i
\(665\) 1.05739 1.26959i 0.0410039 0.0492327i
\(666\) 3.49971 + 6.06168i 0.135611 + 0.234885i
\(667\) 49.5754i 1.91957i
\(668\) 4.01471 + 14.9831i 0.155334 + 0.579714i
\(669\) 3.55858 13.2808i 0.137583 0.513465i
\(670\) 4.05982 + 4.05982i 0.156845 + 0.156845i
\(671\) 31.0240 + 31.0240i 1.19767 + 1.19767i
\(672\) 2.63482 0.240272i 0.101640 0.00926868i
\(673\) 24.0567 13.8891i 0.927316 0.535386i 0.0413542 0.999145i \(-0.486833\pi\)
0.885962 + 0.463758i \(0.153499\pi\)
\(674\) −4.84898 18.0966i −0.186776 0.697056i
\(675\) −1.02087 + 1.76819i −0.0392931 + 0.0680577i
\(676\) −1.48826 + 12.9145i −0.0572407 + 0.496713i
\(677\) 11.4753 6.62524i 0.441030 0.254629i −0.263004 0.964795i \(-0.584713\pi\)
0.704034 + 0.710166i \(0.251380\pi\)
\(678\) 11.6593 + 3.12411i 0.447774 + 0.119981i
\(679\) 4.36329 + 6.18296i 0.167448 + 0.237280i
\(680\) −11.4078 6.58629i −0.437469 0.252573i
\(681\) −7.25905 + 27.0911i −0.278167 + 1.03813i
\(682\) 0.807221 + 0.216294i 0.0309101 + 0.00828233i
\(683\) 9.74982 + 2.61246i 0.373067 + 0.0999629i 0.440480 0.897762i \(-0.354808\pi\)
−0.0674139 + 0.997725i \(0.521475\pi\)
\(684\) 0.0939735 0.350714i 0.00359317 0.0134099i
\(685\) 11.4974 + 6.63803i 0.439294 + 0.253626i
\(686\) 4.59599 17.9409i 0.175476 0.684988i
\(687\) 14.1090 + 3.78049i 0.538291 + 0.144235i
\(688\) −6.41578 + 3.70415i −0.244599 + 0.141220i
\(689\) −3.10665 0.178413i −0.118354 0.00679701i
\(690\) 5.45848 9.45437i 0.207801 0.359922i
\(691\) 1.66274 + 6.20544i 0.0632537 + 0.236066i 0.990314 0.138846i \(-0.0443394\pi\)
−0.927060 + 0.374912i \(0.877673\pi\)
\(692\) 3.94219 2.27602i 0.149859 0.0865214i
\(693\) −6.24739 + 13.5271i −0.237319 + 0.513851i
\(694\) 10.4380 + 10.4380i 0.396222 + 0.396222i
\(695\) 8.11850 + 8.11850i 0.307952 + 0.307952i
\(696\) −2.02153 + 7.54443i −0.0766257 + 0.285971i
\(697\) −17.9081 66.8340i −0.678318 2.53152i
\(698\) 22.9595i 0.869030i
\(699\) 0.310875 + 0.538452i 0.0117584 + 0.0203661i
\(700\) −5.06932 + 1.86619i −0.191602 + 0.0705355i
\(701\) 6.99459i 0.264182i −0.991238 0.132091i \(-0.957831\pi\)
0.991238 0.132091i \(-0.0421691\pi\)
\(702\) −2.69149 + 2.39914i −0.101584 + 0.0905497i
\(703\) 2.20091 + 1.27070i 0.0830089 + 0.0479252i
\(704\) −3.98221 3.98221i −0.150085 0.150085i
\(705\) −1.12651 0.650390i −0.0424268 0.0244951i
\(706\) 9.16659 15.8770i 0.344989 0.597539i
\(707\) −17.4888 + 6.43826i −0.657735 + 0.242136i
\(708\) 1.25372 0.335934i 0.0471178 0.0126252i
\(709\) 10.6966 10.6966i 0.401721 0.401721i −0.477118 0.878839i \(-0.658319\pi\)
0.878839 + 0.477118i \(0.158319\pi\)
\(710\) 24.8535 6.65948i 0.932735 0.249926i
\(711\) −6.10060 10.5665i −0.228790 0.396276i
\(712\) 2.09327 3.62565i 0.0784486 0.135877i
\(713\) −0.243775 + 0.909781i −0.00912945 + 0.0340716i
\(714\) −8.49595 + 18.3957i −0.317953 + 0.688443i
\(715\) 29.1945 + 19.1676i 1.09181 + 0.716828i
\(716\) 0.837989 + 1.45144i 0.0313171 + 0.0542428i
\(717\) 11.6685 11.6685i 0.435769 0.435769i
\(718\) −11.1440 −0.415890
\(719\) 5.59107 0.208512 0.104256 0.994551i \(-0.466754\pi\)
0.104256 + 0.994551i \(0.466754\pi\)
\(720\) 1.21620 1.21620i 0.0453250 0.0453250i
\(721\) 13.7240 + 11.4301i 0.511107 + 0.425680i
\(722\) 4.88344 + 18.2253i 0.181743 + 0.678274i
\(723\) 8.93241 + 2.39343i 0.332200 + 0.0890127i
\(724\) 1.60224 0.925054i 0.0595468 0.0343794i
\(725\) 15.9471i 0.592260i
\(726\) 20.0101 5.36168i 0.742643 0.198991i
\(727\) −21.2421 −0.787826 −0.393913 0.919148i \(-0.628879\pi\)
−0.393913 + 0.919148i \(0.628879\pi\)
\(728\) −9.53402 + 0.320206i −0.353354 + 0.0118676i
\(729\) −1.00000 −0.0370370
\(730\) 14.5288 3.89299i 0.537736 0.144086i
\(731\) 56.7376i 2.09852i
\(732\) −6.74691 + 3.89533i −0.249373 + 0.143975i
\(733\) −20.4271 5.47343i −0.754492 0.202166i −0.138983 0.990295i \(-0.544383\pi\)
−0.615510 + 0.788129i \(0.711050\pi\)
\(734\) 4.40949 + 16.4564i 0.162757 + 0.607418i
\(735\) −5.16823 10.8740i −0.190633 0.401095i
\(736\) 4.48816 4.48816i 0.165436 0.165436i
\(737\) −18.7993 −0.692481
\(738\) 9.03445 0.332563
\(739\) 20.4324 20.4324i 0.751619 0.751619i −0.223162 0.974781i \(-0.571638\pi\)
0.974781 + 0.223162i \(0.0716380\pi\)
\(740\) 6.01937 + 10.4259i 0.221277 + 0.383262i
\(741\) −0.410770 + 1.24301i −0.0150900 + 0.0456631i
\(742\) −0.207367 2.27398i −0.00761267 0.0834805i
\(743\) −4.32089 + 16.1258i −0.158518 + 0.591597i 0.840260 + 0.542183i \(0.182402\pi\)
−0.998778 + 0.0494140i \(0.984265\pi\)
\(744\) −0.0741959 + 0.128511i −0.00272015 + 0.00471144i
\(745\) −17.4683 30.2559i −0.639988 1.10849i
\(746\) 27.5990 7.39514i 1.01047 0.270755i
\(747\) −1.17131 + 1.17131i −0.0428560 + 0.0428560i
\(748\) 41.6615 11.1632i 1.52329 0.408165i
\(749\) −7.72849 + 44.7919i −0.282393 + 1.63666i
\(750\) −6.05575 + 10.4889i −0.221125 + 0.383000i
\(751\) −1.67292 0.965861i −0.0610457 0.0352448i 0.469167 0.883110i \(-0.344554\pi\)
−0.530212 + 0.847865i \(0.677888\pi\)
\(752\) −0.534774 0.534774i −0.0195012 0.0195012i
\(753\) 20.9967 + 12.1225i 0.765163 + 0.441767i
\(754\) 8.83634 26.7392i 0.321801 0.973784i
\(755\) 25.4114i 0.924814i
\(756\) −2.03300 1.69320i −0.0739393 0.0615811i
\(757\) −4.58127 7.93499i −0.166509 0.288402i 0.770681 0.637221i \(-0.219916\pi\)
−0.937190 + 0.348819i \(0.886583\pi\)
\(758\) 20.3367i 0.738662i
\(759\) 9.25163 + 34.5275i 0.335813 + 1.25327i
\(760\) 0.161631 0.603215i 0.00586297 0.0218809i
\(761\) −1.03438 1.03438i −0.0374961 0.0374961i 0.688110 0.725606i \(-0.258441\pi\)
−0.725606 + 0.688110i \(0.758441\pi\)
\(762\) 2.51533 + 2.51533i 0.0911209 + 0.0911209i
\(763\) 11.9957 8.46534i 0.434275 0.306466i
\(764\) −3.91038 + 2.25766i −0.141473 + 0.0816793i
\(765\) 3.40931 + 12.7237i 0.123264 + 0.460028i
\(766\) 4.25467 7.36930i 0.153727 0.266264i
\(767\) −4.58238 + 0.950061i −0.165460 + 0.0343047i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) −6.35786 1.70358i −0.229270 0.0614328i 0.142355 0.989816i \(-0.454533\pi\)
−0.371625 + 0.928383i \(0.621199\pi\)
\(770\) −10.7453 + 23.2661i −0.387233 + 0.838450i
\(771\) −8.77038 5.06358i −0.315858 0.182360i
\(772\) −6.11471 + 22.8204i −0.220073 + 0.821325i
\(773\) −20.9673 5.61817i −0.754141 0.202071i −0.138787 0.990322i \(-0.544320\pi\)
−0.615354 + 0.788251i \(0.710987\pi\)