Properties

Label 546.2.by.b.19.7
Level $546$
Weight $2$
Character 546.19
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 19.7
Character \(\chi\) \(=\) 546.19
Dual form 546.2.by.b.115.7

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(1\) \(e\left(\frac{5}{12}\right)\)

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 −0.610403 0.792091i \(-0.708992\pi\)
−0.132578 + 0.991173i \(0.542326\pi\)
\(6\) 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 0.973960 + 0.226721i \(0.0728004\pi\)
0.226721 + 0.973960i \(0.427200\pi\)
\(12\) 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 0.143326 0.989676i \(-0.454220\pi\)
0.785421 0.618962i \(-0.212446\pi\)
\(18\) −0.965926 0.258819i −0.227671 0.0610042i
\(19\) −0.256740 0.256740i −0.0589003 0.0589003i 0.677043 0.735943i \(-0.263261\pi\)
−0.735943 + 0.677043i \(0.763261\pi\)
\(20\) −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 0.198221 0.980157i \(-0.436484\pi\)
0.947952 + 0.318415i \(0.103150\pi\)
\(24\) 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 −0.233701 0.972309i \(-0.575084\pi\)
0.958894 0.283763i \(-0.0915831\pi\)
\(30\) 1.71996i 0.314021i
\(31\) 0.0384066 0.143335i 0.00689803 0.0257438i −0.962391 0.271668i \(-0.912425\pi\)
0.969289 + 0.245924i \(0.0790914\pi\)
\(32\) 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 0.641127 + 0.767435i \(0.278467\pi\)
−0.938950 + 0.344054i \(0.888200\pi\)
\(38\) −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 −0.864869 0.501998i \(-0.832598\pi\)
−0.497999 + 0.867178i \(0.665932\pi\)
\(42\) 1.52549 2.16168i 0.235388 0.333555i
\(43\) −6.41578 + 3.70415i −0.978398 + 0.564878i −0.901786 0.432183i \(-0.857744\pi\)
−0.0766118 + 0.997061i \(0.524410\pi\)
\(44\) 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 0.978731 0.205147i \(-0.0657672\pi\)
−0.950179 + 0.311703i \(0.899101\pi\)
\(48\) 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 0.894140 0.447788i \(-0.147788\pi\)
−0.834865 + 0.550454i \(0.814455\pi\)
\(54\) −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 0.984340 0.176283i \(-0.0564074\pi\)
−0.940605 + 0.339504i \(0.889741\pi\)
\(60\) −0.445159 + 1.66136i −0.0574698 + 0.214480i
\(61\) 7.79066i 0.997491i −0.866748 0.498746i \(-0.833794\pi\)
0.866748 0.498746i \(-0.166206\pi\)
\(62\) 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 −0.836436 0.548065i \(-0.815365\pi\)
0.548065 + 0.836436i \(0.315365\pi\)
\(68\) 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 −0.738285 0.674489i \(-0.764364\pi\)
−0.976618 + 0.214982i \(0.931031\pi\)
\(72\) −0.707107 0.707107i −0.0833333 0.0833333i
\(73\) −8.44718 2.26342i −0.988668 0.264913i −0.271977 0.962304i \(-0.587677\pi\)
−0.716691 + 0.697391i \(0.754344\pi\)
\(74\) −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 −0.286633 0.958041i \(-0.592536\pi\)
0.973004 0.230789i \(-0.0741307\pi\)
\(80\) −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 0.768463 0.639895i \(-0.221022\pi\)
−0.639895 + 0.768463i \(0.721022\pi\)
\(84\) 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 0.466693 0.884419i \(-0.345445\pi\)
−0.0380417 + 0.999276i \(0.512112\pi\)
\(90\) 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 −0.918106 0.396335i \(-0.870282\pi\)
0.993271 + 0.115816i \(0.0369484\pi\)
\(98\) 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 −0.650438 0.759559i \(-0.725415\pi\)
0.983017 + 0.183516i \(0.0587480\pi\)
\(104\) −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 −0.897704 0.440599i \(-0.854766\pi\)
0.0672817 0.997734i \(-0.478567\pi\)
\(108\) −0.500000 + 0.866025i −0.0481125 + 0.0833333i
\(109\) 5.36017 + 1.43625i 0.513411 + 0.137568i 0.506217 0.862406i \(-0.331043\pi\)
0.00719395 + 0.999974i \(0.497710\pi\)
\(110\) −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 0.996788 + 0.0800906i \(0.0255209\pi\)
−0.429033 + 0.903289i \(0.641146\pi\)
\(114\) −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 0.630415 0.776258i \(-0.282885\pi\)
−0.357052 + 0.934084i \(0.616218\pi\)
\(128\) −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 −0.357364 0.933965i \(-0.616324\pi\)
−0.987520 + 0.157497i \(0.949658\pi\)
\(132\) 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 −0.562841 0.826565i \(-0.690292\pi\)
−0.0741515 + 0.997247i \(0.523625\pi\)
\(138\) −1.64278 6.13094i −0.139843 0.521900i
\(139\) −5.78099 + 3.33766i −0.490337 + 0.283096i −0.724714 0.689049i \(-0.758028\pi\)
0.234377 + 0.972146i \(0.424695\pi\)
\(140\) −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 0.196076 0.980589i \(-0.437180\pi\)
0.980589 0.196076i \(-0.0628201\pi\)
\(150\) 0.528439 + 1.97216i 0.0431468 + 0.161026i
\(151\) 3.82389 14.2709i 0.311184 1.16135i −0.616307 0.787506i \(-0.711372\pi\)
0.927490 0.373847i \(-0.121962\pi\)
\(152\) 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 −0.786551 0.617526i \(-0.788135\pi\)
0.141517 + 0.989936i \(0.454802\pi\)
\(158\) 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 0.903774 0.428010i \(-0.140785\pi\)
−0.428010 + 0.903774i \(0.640785\pi\)
\(164\) −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 −0.927956 0.372691i \(-0.878435\pi\)
0.617288 0.786738i \(-0.288232\pi\)
\(168\) 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 \(-0.980050\pi\)
0.998037 0.0626342i \(-0.0199502\pi\)
\(180\) 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 −0.973403 0.229100i \(-0.926422\pi\)
−0.229100 0.973403i \(-0.573578\pi\)
\(194\) 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 0.894468 + 0.447132i \(0.147555\pi\)
−0.551066 + 0.834462i \(0.685779\pi\)
\(198\) −2.81585 4.87719i −0.200113 0.346607i
\(199\) 6.51955 11.2922i 0.462159 0.800483i −0.536909 0.843640i \(-0.680408\pi\)
0.999068 + 0.0431572i \(0.0137416\pi\)
\(200\) −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 0.443694 + 0.896179i \(0.353668\pi\)
−0.997960 + 0.0638394i \(0.979665\pi\)
\(212\) 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 −0.674436 0.738333i \(-0.735613\pi\)
−0.214912 + 0.976633i \(0.568946\pi\)
\(224\) −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 0.804422 0.594058i \(-0.202475\pi\)
0.993679 + 0.112258i \(0.0358083\pi\)
\(228\) −0.350714 + 0.0939735i −0.0232266 + 0.00622355i
\(229\) 3.78049 + 14.1090i 0.249822 + 0.932347i 0.970898 + 0.239492i \(0.0769809\pi\)
−0.721077 + 0.692855i \(0.756352\pi\)
\(230\) −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 0.517534 0.855663i \(-0.326850\pi\)
−0.482259 + 0.876029i \(0.660183\pi\)
\(234\) 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 −0.975366 0.220592i \(-0.929201\pi\)
0.220592 + 0.975366i \(0.429201\pi\)
\(240\) −1.21620 + 1.21620i −0.0785052 + 0.0785052i
\(241\) 2.39343 + 8.93241i 0.154175 + 0.575387i 0.999175 + 0.0406210i \(0.0129336\pi\)
−0.845000 + 0.534766i \(0.820400\pi\)
\(242\) −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 0.940160 + 0.340732i \(0.110675\pi\)
−0.174998 + 0.984569i \(0.555992\pi\)
\(252\) −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 0.663762 0.747944i \(-0.268959\pi\)
−0.979619 + 0.200863i \(0.935625\pi\)
\(258\) 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 0.863504 0.504342i \(-0.168265\pi\)
−0.00502094 + 0.999987i \(0.501598\pi\)
\(270\) 1.71996i 0.104674i
\(271\) 18.3126 + 4.90684i 1.11241 + 0.298069i 0.767808 0.640680i \(-0.221348\pi\)
0.344601 + 0.938749i \(0.388014\pi\)
\(272\) 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 0.614213 0.789140i \(-0.289474\pi\)
−0.376309 + 0.926494i \(0.622807\pi\)
\(278\) −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 0.697216 0.716861i \(-0.254422\pi\)
−0.716861 + 0.697216i \(0.754422\pi\)
\(282\) 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 −0.160081 0.987104i \(-0.551176\pi\)
−0.632186 + 0.774816i \(0.717842\pi\)
\(294\) 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 −0.900914 0.433998i \(-0.857102\pi\)
0.433998 + 0.900914i \(0.357102\pi\)
\(308\) −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 0.887016 0.461739i \(-0.152774\pi\)
−0.843386 + 0.537309i \(0.819441\pi\)
\(312\) 1.13133 + 3.42346i 0.0640490 + 0.193815i
\(313\) 13.7899 + 7.96159i 0.779450 + 0.450016i 0.836235 0.548371i \(-0.184752\pi\)
−0.0567851 + 0.998386i \(0.518085\pi\)
\(314\) −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 0.944248 0.329235i \(-0.106791\pi\)
−0.982360 + 0.186998i \(0.940124\pi\)
\(318\) 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 −0.547507 0.836801i \(-0.684423\pi\)
0.836801 + 0.547507i \(0.184423\pi\)
\(332\) 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 \(0.170458\pi\)
−0.860008 + 0.510280i \(0.829542\pi\)
\(338\) −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 −0.597034 0.802216i \(-0.703654\pi\)
0.993256 + 0.115939i \(0.0369877\pi\)
\(348\) −3.90529 6.76416i −0.209345 0.362597i
\(349\) 5.94235 + 22.1772i 0.318087 + 1.18712i 0.921081 + 0.389371i \(0.127308\pi\)
−0.602994 + 0.797746i \(0.706026\pi\)
\(350\) −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 0.962227 0.272249i \(-0.0877674\pi\)
−0.272249 + 0.962227i \(0.587767\pi\)
\(354\) 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 −0.531433 0.847101i \(-0.678346\pi\)
−0.0366838 + 0.999327i \(0.511679\pi\)
\(360\) 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 \(-0.853324\pi\)
0.895699 0.444661i \(-0.146676\pi\)
\(368\) 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 −0.958882 0.283806i \(-0.908403\pi\)
0.688513 0.725224i \(-0.258264\pi\)
\(380\) 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 0.843922 0.536467i \(-0.180241\pi\)
−0.536467 + 0.843922i \(0.680241\pi\)
\(384\) 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 −0.0148482 0.999890i \(-0.504727\pi\)
0.858506 + 0.512804i \(0.171393\pi\)
\(390\) −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 −0.0995182 + 0.995036i \(0.531730\pi\)
−0.995036 + 0.0995182i \(0.968270\pi\)
\(398\) 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 −0.490192 0.871614i \(-0.663073\pi\)
0.860326 0.509744i \(-0.170260\pi\)
\(402\) 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 −0.125918 0.992041i \(-0.540188\pi\)
0.386972 + 0.922091i \(0.373521\pi\)
\(410\) 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 0.768728 0.639576i \(-0.220890\pi\)
−0.169525 + 0.985526i \(0.554223\pi\)
\(420\) −2.62379 + 3.71801i −0.128028 + 0.181421i
\(421\) 13.1845 13.1845i 0.642573 0.642573i −0.308614 0.951187i \(-0.599865\pi\)
0.951187 + 0.308614i \(0.0998653\pi\)
\(422\) −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 −0.908042 0.418880i \(-0.862423\pi\)
0.418880 + 0.908042i \(0.362423\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 11.0126 + 19.0743i 0.529230 + 0.916653i 0.999419 + 0.0340875i \(0.0108525\pi\)
−0.470189 + 0.882566i \(0.655814\pi\)
\(434\) 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 0.664054 0.747685i \(-0.268834\pi\)
−0.979541 + 0.201245i \(0.935501\pi\)
\(440\) −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 0.0354579 + 0.999371i \(0.488711\pi\)
−0.883210 + 0.468978i \(0.844622\pi\)
\(444\) 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 −0.990096 0.140392i \(-0.955164\pi\)
0.927644 + 0.373465i \(0.121831\pi\)
\(450\) 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 −0.240180 0.970728i \(-0.577206\pi\)
−0.693366 + 0.720586i \(0.743873\pi\)
\(458\) 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 −0.996147 0.0877047i \(-0.972047\pi\)
0.906541 + 0.422119i \(0.138713\pi\)
\(462\) 14.6831 2.53345i 0.683119 0.117867i
\(463\) 2.57262 + 2.57262i 0.119560 + 0.119560i 0.764355 0.644795i \(-0.223057\pi\)
−0.644795 + 0.764355i \(0.723057\pi\)
\(464\) 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 −0.958147 0.286277i \(-0.907582\pi\)
0.726997 + 0.686641i \(0.240915\pi\)
\(468\) 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 −0.179014 0.983847i \(-0.557291\pi\)
0.983847 + 0.179014i \(0.0572907\pi\)
\(480\) −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 −0.859274 0.511516i \(-0.829084\pi\)
0.488395 0.872623i \(-0.337583\pi\)
\(488\) 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 0.358019 0.933714i \(-0.383452\pi\)
−0.629611 + 0.776910i \(0.716786\pi\)
\(492\) −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 0.917618 + 0.397463i \(0.130109\pi\)
−0.595949 + 0.803022i \(0.703224\pi\)
\(500\) 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 −0.943093 0.332529i \(-0.892098\pi\)
−0.183568 + 0.983007i \(0.558765\pi\)
\(504\) −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 −0.572142 0.820155i \(-0.693887\pi\)
0.905567 0.424204i \(-0.139446\pi\)
\(510\) 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 −0.867042 0.498236i \(-0.833981\pi\)
−0.00203587 + 0.999998i \(0.500648\pi\)
\(522\) −5.52291 + 5.52291i −0.241731 + 0.241731i
\(523\) −30.7302 + 17.7421i −1.34374 + 0.775807i −0.987354 0.158532i \(-0.949324\pi\)
−0.356384 + 0.934340i \(0.615991\pi\)
\(524\) −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 0.134202 0.990954i \(-0.457153\pi\)
0.611699 + 0.791090i \(0.290486\pi\)
\(542\) 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 0.636613 0.771184i \(-0.280335\pi\)
−0.771184 + 0.636613i \(0.780335\pi\)
\(558\) −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 −0.795167 0.606390i \(-0.792617\pi\)
0.922733 + 0.385440i \(0.125950\pi\)
\(564\) 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 −0.0192614 0.999814i \(-0.506131\pi\)
0.856234 + 0.516588i \(0.172798\pi\)
\(570\) 0.441584 0.441584i 0.0184959 0.0184959i
\(571\) −23.8718 + 13.7824i −0.999005 + 0.576776i −0.907954 0.419070i \(-0.862356\pi\)
−0.0910513 + 0.995846i \(0.529023\pi\)
\(572\) −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 0.0653474 + 0.997863i \(0.479184\pi\)
−0.555524 + 0.831501i \(0.687482\pi\)
\(578\) −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 −0.984928 0.172966i \(-0.944665\pi\)
−0.766489 + 0.642257i \(0.777998\pi\)
\(588\) 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 −0.999829 0.0184992i \(-0.994111\pi\)
0.856628 0.515935i \(-0.172555\pi\)
\(594\) −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 0.684258 0.729240i \(-0.260126\pi\)
−0.973669 + 0.227965i \(0.926793\pi\)
\(600\) −0.528439 + 1.97216i −0.0215734 + 0.0805131i
\(601\) 32.7519 + 18.9093i 1.33598 + 0.771327i 0.986208 0.165509i \(-0.0529266\pi\)
0.349769 + 0.936836i \(0.386260\pi\)
\(602\) −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 \(0.313714\pi\)
−0.552394 + 0.833583i \(0.686286\pi\)
\(608\) 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 −0.281435 0.959580i \(-0.590810\pi\)
0.959580 + 0.281435i \(0.0908104\pi\)
\(614\) −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 −0.230330 0.973113i \(-0.573981\pi\)
−0.686028 + 0.727575i \(0.740647\pi\)
\(618\) −4.77340 4.77340i −0.192014 0.192014i
\(619\) 11.2303 + 3.00915i 0.451384 + 0.120948i 0.477347 0.878715i \(-0.341599\pi\)
−0.0259629 + 0.999663i \(0.508265\pi\)
\(620\) −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 −0.998137 0.0610104i \(-0.980568\pi\)
0.894917 + 0.446232i \(0.147234\pi\)
\(632\) 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 0.896152 0.443748i \(-0.146351\pi\)
0.0637792 + 0.997964i \(0.479685\pi\)
\(642\) −16.5945 + 4.44649i −0.654933 + 0.175489i
\(643\) 3.74858 13.9899i 0.147830 0.551708i −0.851783 0.523894i \(-0.824479\pi\)
0.999613 0.0278139i \(-0.00885459\pi\)
\(644\) 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 −0.942952 0.332929i \(-0.891963\pi\)
0.183151 0.983085i \(-0.441370\pi\)
\(654\) 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 −0.961882 0.273465i \(-0.911830\pi\)
0.244113 0.969747i \(-0.421503\pi\)
\(660\) −8.38858 + 4.84315i −0.326525 + 0.188519i
\(661\) −14.7779 + 14.7779i −0.574793 + 0.574793i −0.933464 0.358671i \(-0.883230\pi\)
0.358671 + 0.933464i \(0.383230\pi\)
\(662\) 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 0.885962 0.463758i \(-0.153499\pi\)
0.0413542 + 0.999145i \(0.486833\pi\)
\(674\) −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 0.704034 0.710166i \(-0.251380\pi\)
−0.263004 + 0.964795i \(0.584713\pi\)
\(678\) 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 −0.0674139 0.997725i \(-0.521475\pi\)
0.440480 + 0.897762i \(0.354808\pi\)
\(684\) 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 −0.927060 0.374912i \(-0.877673\pi\)
0.990314 + 0.138846i \(0.0443394\pi\)
\(692\) 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 \(0.0421691\pi\)
−0.991238 + 0.132091i \(0.957831\pi\)
\(702\) −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 0.878839 0.477118i \(-0.158319\pi\)
−0.477118 + 0.878839i \(0.658319\pi\)
\(710\) 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 −0.615510 0.788129i \(-0.711050\pi\)
−0.138983 + 0.990295i \(0.544383\pi\)
\(734\) 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 0.974781 0.223162i \(-0.0716380\pi\)
−0.223162 + 0.974781i \(0.571638\pi\)
\(740\) 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 −0.998778 0.0494140i \(-0.984265\pi\)
0.840260 0.542183i \(-0.182402\pi\)
\(744\) −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 −0.530212 0.847865i \(-0.677888\pi\)
0.469167 + 0.883110i \(0.344554\pi\)
\(752\) −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 −0.937190 0.348819i \(-0.886583\pi\)
0.770681 + 0.637221i \(0.219916\pi\)
\(758\) 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 −0.725606 0.688110i \(-0.758441\pi\)
0.688110 + 0.725606i \(0.258441\pi\)
\(762\) 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 −0.371625 0.928383i \(-0.621199\pi\)
0.142355 + 0.989816i \(0.454533\pi\)
\(770\) −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 −0.615354 0.788251i \(-0.710987\pi\)
−0.138787 + 0.990322i \(0.544320\pi\)