Properties

Label 441.2.y.a.25.14
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.14
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.322970 + 1.41503i) q^{2} +(-1.49665 - 0.871802i) q^{3} +(-0.0960492 - 0.0462548i) q^{4} +(-1.42246 - 3.62437i) q^{5} +(1.71700 - 1.83623i) q^{6} +(1.71510 - 2.01455i) q^{7} +(-1.71341 + 2.14855i) q^{8} +(1.47992 + 2.60956i) q^{9} +O(q^{10})\) \(q+(-0.322970 + 1.41503i) q^{2} +(-1.49665 - 0.871802i) q^{3} +(-0.0960492 - 0.0462548i) q^{4} +(-1.42246 - 3.62437i) q^{5} +(1.71700 - 1.83623i) q^{6} +(1.71510 - 2.01455i) q^{7} +(-1.71341 + 2.14855i) q^{8} +(1.47992 + 2.60956i) q^{9} +(5.58799 - 0.842254i) q^{10} +(-4.66480 + 1.43890i) q^{11} +(0.103427 + 0.152963i) q^{12} +(-3.94889 + 1.21807i) q^{13} +(2.29672 + 3.07755i) q^{14} +(-1.03081 + 6.66452i) q^{15} +(-2.61981 - 3.28514i) q^{16} +(-0.361640 + 4.82575i) q^{17} +(-4.17057 + 1.25132i) q^{18} +(1.88223 + 3.26011i) q^{19} +(-0.0310185 + 0.413914i) q^{20} +(-4.32320 + 1.51986i) q^{21} +(-0.529488 - 7.06553i) q^{22} +(-2.23791 + 1.52578i) q^{23} +(4.43749 - 1.72187i) q^{24} +(-7.44742 + 6.91019i) q^{25} +(-0.448228 - 5.98118i) q^{26} +(0.0600946 - 5.19580i) q^{27} +(-0.257917 + 0.114165i) q^{28} +(0.300063 - 4.00407i) q^{29} +(-9.09755 - 3.61106i) q^{30} -2.61784 q^{31} +(0.542767 - 0.261383i) q^{32} +(8.23600 + 1.91325i) q^{33} +(-6.71176 - 2.07030i) q^{34} +(-9.74116 - 3.35054i) q^{35} +(-0.0214404 - 0.319100i) q^{36} +(0.460558 + 0.314003i) q^{37} +(-5.22105 + 1.61048i) q^{38} +(6.97203 + 1.61962i) q^{39} +(10.2244 + 3.15381i) q^{40} +(5.09253 + 0.767576i) q^{41} +(-0.754370 - 6.60830i) q^{42} +(-0.856278 + 0.129063i) q^{43} +(0.514606 + 0.0775644i) q^{44} +(7.35290 - 9.07580i) q^{45} +(-1.43624 - 3.65949i) q^{46} +(1.52696 - 6.69007i) q^{47} +(1.05695 + 7.20066i) q^{48} +(-1.11686 - 6.91033i) q^{49} +(-7.37280 - 12.7701i) q^{50} +(4.74834 - 6.90718i) q^{51} +(0.435629 + 0.0656606i) q^{52} +(-11.6978 + 7.97541i) q^{53} +(7.33279 + 1.76313i) q^{54} +(11.8506 + 14.8602i) q^{55} +(1.38970 + 7.13674i) q^{56} +(0.0251364 - 6.52018i) q^{57} +(5.56895 + 1.71779i) q^{58} +(-6.29726 - 7.89652i) q^{59} +(0.407274 - 0.592442i) q^{60} +(-1.24722 + 0.600627i) q^{61} +(0.845486 - 3.70432i) q^{62} +(7.79533 + 1.49428i) q^{63} +(-1.67543 - 7.34055i) q^{64} +(10.0319 + 12.5796i) q^{65} +(-5.36728 + 11.0362i) q^{66} -5.17902 q^{67} +(0.257949 - 0.446782i) q^{68} +(4.67955 - 0.332547i) q^{69} +(7.88720 - 12.7019i) q^{70} +(6.63961 + 3.19747i) q^{71} +(-8.14250 - 1.29157i) q^{72} +(-3.40399 - 1.04999i) q^{73} +(-0.593069 + 0.550288i) q^{74} +(17.1705 - 3.84947i) q^{75} +(-0.0299903 - 0.400193i) q^{76} +(-5.10185 + 11.8653i) q^{77} +(-4.54357 + 9.34250i) q^{78} +2.68517 q^{79} +(-8.17998 + 14.1681i) q^{80} +(-4.61965 + 7.72391i) q^{81} +(-2.73088 + 6.95816i) q^{82} +(-16.1633 - 4.98570i) q^{83} +(0.485540 + 0.0539879i) q^{84} +(18.0047 - 5.55372i) q^{85} +(0.0939248 - 1.25334i) q^{86} +(-3.93984 + 5.73109i) q^{87} +(4.90117 - 12.4880i) q^{88} +(2.20579 - 2.04667i) q^{89} +(10.4677 + 13.3357i) q^{90} +(-4.31887 + 10.0444i) q^{91} +(0.285524 - 0.0430359i) q^{92} +(3.91800 + 2.28224i) q^{93} +(8.97345 + 4.32139i) q^{94} +(9.13847 - 11.4593i) q^{95} +(-1.04021 - 0.0819866i) q^{96} +(-4.85718 + 8.41289i) q^{97} +(10.1390 + 0.651446i) q^{98} +(-10.6584 - 10.0436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.322970 + 1.41503i −0.228374 + 1.00057i 0.722591 + 0.691276i \(0.242951\pi\)
−0.950965 + 0.309298i \(0.899906\pi\)
\(3\) −1.49665 0.871802i −0.864091 0.503335i
\(4\) −0.0960492 0.0462548i −0.0480246 0.0231274i
\(5\) −1.42246 3.62437i −0.636144 1.62087i −0.776027 0.630700i \(-0.782768\pi\)
0.139883 0.990168i \(-0.455327\pi\)
\(6\) 1.71700 1.83623i 0.700960 0.749639i
\(7\) 1.71510 2.01455i 0.648247 0.761430i
\(8\) −1.71341 + 2.14855i −0.605783 + 0.759628i
\(9\) 1.47992 + 2.60956i 0.493308 + 0.869855i
\(10\) 5.58799 0.842254i 1.76708 0.266344i
\(11\) −4.66480 + 1.43890i −1.40649 + 0.433844i −0.902807 0.430045i \(-0.858498\pi\)
−0.503682 + 0.863889i \(0.668022\pi\)
\(12\) 0.103427 + 0.152963i 0.0298568 + 0.0441567i
\(13\) −3.94889 + 1.21807i −1.09523 + 0.337832i −0.789166 0.614180i \(-0.789487\pi\)
−0.306060 + 0.952012i \(0.599011\pi\)
\(14\) 2.29672 + 3.07755i 0.613824 + 0.822510i
\(15\) −1.03081 + 6.66452i −0.266153 + 1.72077i
\(16\) −2.61981 3.28514i −0.654952 0.821284i
\(17\) −0.361640 + 4.82575i −0.0877106 + 1.17042i 0.763577 + 0.645717i \(0.223441\pi\)
−0.851288 + 0.524699i \(0.824178\pi\)
\(18\) −4.17057 + 1.25132i −0.983013 + 0.294938i
\(19\) 1.88223 + 3.26011i 0.431812 + 0.747921i 0.997029 0.0770211i \(-0.0245409\pi\)
−0.565217 + 0.824942i \(0.691208\pi\)
\(20\) −0.0310185 + 0.413914i −0.00693596 + 0.0925539i
\(21\) −4.32320 + 1.51986i −0.943399 + 0.331660i
\(22\) −0.529488 7.06553i −0.112887 1.50638i
\(23\) −2.23791 + 1.52578i −0.466637 + 0.318148i −0.773712 0.633538i \(-0.781602\pi\)
0.307075 + 0.951685i \(0.400650\pi\)
\(24\) 4.43749 1.72187i 0.905799 0.351476i
\(25\) −7.44742 + 6.91019i −1.48948 + 1.38204i
\(26\) −0.448228 5.98118i −0.0879047 1.17301i
\(27\) 0.0600946 5.19580i 0.0115652 0.999933i
\(28\) −0.257917 + 0.114165i −0.0487417 + 0.0215751i
\(29\) 0.300063 4.00407i 0.0557204 0.743537i −0.897453 0.441111i \(-0.854585\pi\)
0.953173 0.302426i \(-0.0977964\pi\)
\(30\) −9.09755 3.61106i −1.66098 0.659286i
\(31\) −2.61784 −0.470179 −0.235089 0.971974i \(-0.575538\pi\)
−0.235089 + 0.971974i \(0.575538\pi\)
\(32\) 0.542767 0.261383i 0.0959486 0.0462064i
\(33\) 8.23600 + 1.91325i 1.43370 + 0.333054i
\(34\) −6.71176 2.07030i −1.15106 0.355054i
\(35\) −9.74116 3.35054i −1.64656 0.566344i
\(36\) −0.0214404 0.319100i −0.00357341 0.0531833i
\(37\) 0.460558 + 0.314003i 0.0757153 + 0.0516218i 0.600586 0.799560i \(-0.294934\pi\)
−0.524871 + 0.851182i \(0.675886\pi\)
\(38\) −5.22105 + 1.61048i −0.846965 + 0.261254i
\(39\) 6.97203 + 1.61962i 1.11642 + 0.259347i
\(40\) 10.2244 + 3.15381i 1.61662 + 0.498662i
\(41\) 5.09253 + 0.767576i 0.795320 + 0.119875i 0.534119 0.845409i \(-0.320643\pi\)
0.261201 + 0.965284i \(0.415881\pi\)
\(42\) −0.754370 6.60830i −0.116402 1.01968i
\(43\) −0.856278 + 0.129063i −0.130581 + 0.0196820i −0.214008 0.976832i \(-0.568652\pi\)
0.0834264 + 0.996514i \(0.473414\pi\)
\(44\) 0.514606 + 0.0775644i 0.0775798 + 0.0116933i
\(45\) 7.35290 9.07580i 1.09611 1.35294i
\(46\) −1.43624 3.65949i −0.211762 0.539562i
\(47\) 1.52696 6.69007i 0.222731 0.975847i −0.732682 0.680572i \(-0.761731\pi\)
0.955412 0.295275i \(-0.0954114\pi\)
\(48\) 1.05695 + 7.20066i 0.152558 + 1.03933i
\(49\) −1.11686 6.91033i −0.159551 0.987190i
\(50\) −7.37280 12.7701i −1.04267 1.80596i
\(51\) 4.74834 6.90718i 0.664901 0.967199i
\(52\) 0.435629 + 0.0656606i 0.0604109 + 0.00910548i
\(53\) −11.6978 + 7.97541i −1.60681 + 1.09551i −0.671892 + 0.740649i \(0.734518\pi\)
−0.934920 + 0.354858i \(0.884529\pi\)
\(54\) 7.33279 + 1.76313i 0.997866 + 0.239931i
\(55\) 11.8506 + 14.8602i 1.59793 + 2.00375i
\(56\) 1.38970 + 7.13674i 0.185706 + 0.953688i
\(57\) 0.0251364 6.52018i 0.00332940 0.863619i
\(58\) 5.56895 + 1.71779i 0.731238 + 0.225557i
\(59\) −6.29726 7.89652i −0.819834 1.02804i −0.999022 0.0442240i \(-0.985918\pi\)
0.179188 0.983815i \(-0.442653\pi\)
\(60\) 0.407274 0.592442i 0.0525789 0.0764839i
\(61\) −1.24722 + 0.600627i −0.159690 + 0.0769025i −0.512021 0.858973i \(-0.671103\pi\)
0.352332 + 0.935875i \(0.385389\pi\)
\(62\) 0.845486 3.70432i 0.107377 0.470449i
\(63\) 7.79533 + 1.49428i 0.982119 + 0.188261i
\(64\) −1.67543 7.34055i −0.209429 0.917569i
\(65\) 10.0319 + 12.5796i 1.24430 + 1.56031i
\(66\) −5.36728 + 11.0362i −0.660666 + 1.35847i
\(67\) −5.17902 −0.632718 −0.316359 0.948639i \(-0.602460\pi\)
−0.316359 + 0.948639i \(0.602460\pi\)
\(68\) 0.257949 0.446782i 0.0312810 0.0541802i
\(69\) 4.67955 0.332547i 0.563352 0.0400340i
\(70\) 7.88720 12.7019i 0.942701 1.51816i
\(71\) 6.63961 + 3.19747i 0.787977 + 0.379470i 0.784188 0.620523i \(-0.213080\pi\)
0.00378858 + 0.999993i \(0.498794\pi\)
\(72\) −8.14250 1.29157i −0.959603 0.152213i
\(73\) −3.40399 1.04999i −0.398407 0.122892i 0.0890761 0.996025i \(-0.471609\pi\)
−0.487483 + 0.873133i \(0.662085\pi\)
\(74\) −0.593069 + 0.550288i −0.0689429 + 0.0639697i
\(75\) 17.1705 3.84947i 1.98268 0.444499i
\(76\) −0.0299903 0.400193i −0.00344013 0.0459053i
\(77\) −5.10185 + 11.8653i −0.581410 + 1.35218i
\(78\) −4.54357 + 9.34250i −0.514457 + 1.05783i
\(79\) 2.68517 0.302105 0.151052 0.988526i \(-0.451734\pi\)
0.151052 + 0.988526i \(0.451734\pi\)
\(80\) −8.17998 + 14.1681i −0.914550 + 1.58405i
\(81\) −4.61965 + 7.72391i −0.513295 + 0.858212i
\(82\) −2.73088 + 6.95816i −0.301575 + 0.768400i
\(83\) −16.1633 4.98570i −1.77415 0.547252i −0.777486 0.628900i \(-0.783506\pi\)
−0.996661 + 0.0816478i \(0.973982\pi\)
\(84\) 0.485540 + 0.0539879i 0.0529768 + 0.00589057i
\(85\) 18.0047 5.55372i 1.95289 0.602386i
\(86\) 0.0939248 1.25334i 0.0101282 0.135151i
\(87\) −3.93984 + 5.73109i −0.422395 + 0.614438i
\(88\) 4.90117 12.4880i 0.522467 1.33122i
\(89\) 2.20579 2.04667i 0.233813 0.216947i −0.554561 0.832143i \(-0.687114\pi\)
0.788374 + 0.615197i \(0.210923\pi\)
\(90\) 10.4677 + 13.3357i 1.10339 + 1.40571i
\(91\) −4.31887 + 10.0444i −0.452741 + 1.05294i
\(92\) 0.285524 0.0430359i 0.0297680 0.00448680i
\(93\) 3.91800 + 2.28224i 0.406277 + 0.236657i
\(94\) 8.97345 + 4.32139i 0.925541 + 0.445717i
\(95\) 9.13847 11.4593i 0.937587 1.17570i
\(96\) −1.04021 0.0819866i −0.106166 0.00836772i
\(97\) −4.85718 + 8.41289i −0.493172 + 0.854200i −0.999969 0.00786602i \(-0.997496\pi\)
0.506797 + 0.862066i \(0.330829\pi\)
\(98\) 10.1390 + 0.651446i 1.02419 + 0.0658060i
\(99\) −10.6584 10.0436i −1.07121 1.00942i
\(100\) 1.03495 0.319239i 0.103495 0.0319239i
\(101\) 3.38374 + 0.510017i 0.336695 + 0.0507486i 0.315214 0.949021i \(-0.397924\pi\)
0.0214811 + 0.999769i \(0.493162\pi\)
\(102\) 8.24026 + 8.94984i 0.815907 + 0.886166i
\(103\) −5.73648 14.6163i −0.565232 1.44019i −0.872523 0.488572i \(-0.837518\pi\)
0.307291 0.951616i \(-0.400577\pi\)
\(104\) 4.14899 10.5715i 0.406842 1.03662i
\(105\) 11.6581 + 13.5069i 1.13771 + 1.31814i
\(106\) −7.50737 19.1285i −0.729180 1.85792i
\(107\) 3.61053 3.35009i 0.349043 0.323865i −0.486094 0.873907i \(-0.661579\pi\)
0.835137 + 0.550042i \(0.185388\pi\)
\(108\) −0.246103 + 0.496273i −0.0236813 + 0.0477539i
\(109\) 6.64676 + 6.16729i 0.636644 + 0.590719i 0.931019 0.364971i \(-0.118921\pi\)
−0.294375 + 0.955690i \(0.595112\pi\)
\(110\) −24.8549 + 11.9695i −2.36982 + 1.14125i
\(111\) −0.415546 0.871469i −0.0394419 0.0827162i
\(112\) −11.1113 0.356592i −1.04992 0.0336948i
\(113\) −3.17453 + 2.94553i −0.298635 + 0.277093i −0.815230 0.579137i \(-0.803390\pi\)
0.516595 + 0.856230i \(0.327199\pi\)
\(114\) 9.21810 + 2.14139i 0.863354 + 0.200560i
\(115\) 8.71335 + 5.94066i 0.812524 + 0.553969i
\(116\) −0.214028 + 0.370708i −0.0198720 + 0.0344194i
\(117\) −9.02270 8.50223i −0.834148 0.786032i
\(118\) 13.2076 6.36044i 1.21586 0.585526i
\(119\) 9.10149 + 9.00519i 0.834332 + 0.825504i
\(120\) −12.5529 13.6338i −1.14591 1.24459i
\(121\) 10.6013 7.22782i 0.963752 0.657075i
\(122\) −0.447089 1.95883i −0.0404776 0.177344i
\(123\) −6.95257 5.58847i −0.626892 0.503896i
\(124\) 0.251442 + 0.121088i 0.0225801 + 0.0108740i
\(125\) 18.0991 + 8.71606i 1.61883 + 0.779588i
\(126\) −4.63210 + 10.5480i −0.412660 + 0.939689i
\(127\) −4.82037 + 2.32137i −0.427739 + 0.205988i −0.635352 0.772223i \(-0.719145\pi\)
0.207613 + 0.978211i \(0.433431\pi\)
\(128\) 12.1330 1.07242
\(129\) 1.39407 + 0.553343i 0.122741 + 0.0487191i
\(130\) −21.0404 + 10.1325i −1.84537 + 0.888683i
\(131\) 13.1512 1.98222i 1.14903 0.173188i 0.453207 0.891405i \(-0.350280\pi\)
0.695819 + 0.718218i \(0.255042\pi\)
\(132\) −0.702564 0.564721i −0.0611504 0.0491526i
\(133\) 9.79588 + 1.79957i 0.849411 + 0.156043i
\(134\) 1.67267 7.32845i 0.144497 0.633082i
\(135\) −18.9170 + 7.17302i −1.62812 + 0.617356i
\(136\) −9.74873 9.04550i −0.835947 0.775645i
\(137\) 6.82667 17.3941i 0.583242 1.48608i −0.269111 0.963109i \(-0.586730\pi\)
0.852353 0.522967i \(-0.175175\pi\)
\(138\) −1.04079 + 6.72909i −0.0885982 + 0.572818i
\(139\) −15.3143 2.30826i −1.29894 0.195784i −0.537086 0.843528i \(-0.680475\pi\)
−0.761859 + 0.647743i \(0.775713\pi\)
\(140\) 0.780652 + 0.772392i 0.0659771 + 0.0652790i
\(141\) −8.11775 + 8.68148i −0.683638 + 0.731113i
\(142\) −6.66889 + 8.36253i −0.559641 + 0.701768i
\(143\) 16.6681 11.3641i 1.39386 0.950315i
\(144\) 4.69566 11.6983i 0.391305 0.974859i
\(145\) −14.9391 + 4.60809i −1.24062 + 0.382681i
\(146\) 2.58515 4.47761i 0.213949 0.370570i
\(147\) −4.35289 + 11.3160i −0.359020 + 0.933330i
\(148\) −0.0297121 0.0514628i −0.00244232 0.00423022i
\(149\) 15.4743 + 14.3580i 1.26770 + 1.17626i 0.975524 + 0.219893i \(0.0705708\pi\)
0.292179 + 0.956364i \(0.405620\pi\)
\(150\) −0.0984610 + 25.5399i −0.00803931 + 2.08533i
\(151\) 1.07680 + 14.3688i 0.0876284 + 1.16932i 0.851643 + 0.524122i \(0.175606\pi\)
−0.764015 + 0.645199i \(0.776775\pi\)
\(152\) −10.2296 1.54186i −0.829726 0.125061i
\(153\) −13.1283 + 6.19802i −1.06136 + 0.501080i
\(154\) −15.1420 11.0514i −1.22018 0.890548i
\(155\) 3.72378 + 9.48804i 0.299101 + 0.762098i
\(156\) −0.594742 0.478053i −0.0476175 0.0382749i
\(157\) 1.15207 + 1.44465i 0.0919454 + 0.115296i 0.825676 0.564145i \(-0.190794\pi\)
−0.733731 + 0.679441i \(0.762223\pi\)
\(158\) −0.867229 + 3.79958i −0.0689930 + 0.302278i
\(159\) 24.4604 1.73826i 1.93984 0.137853i
\(160\) −1.71941 1.59538i −0.135932 0.126126i
\(161\) −0.764472 + 7.12527i −0.0602489 + 0.561550i
\(162\) −9.43752 9.03152i −0.741482 0.709583i
\(163\) 5.88298 14.9896i 0.460790 1.17407i −0.492040 0.870572i \(-0.663749\pi\)
0.952831 0.303502i \(-0.0981560\pi\)
\(164\) −0.453630 0.309279i −0.0354225 0.0241507i
\(165\) −4.78107 32.5719i −0.372206 2.53572i
\(166\) 12.2751 21.2612i 0.952736 1.65019i
\(167\) −1.81168 1.23518i −0.140192 0.0955811i 0.491193 0.871051i \(-0.336561\pi\)
−0.631385 + 0.775469i \(0.717513\pi\)
\(168\) 4.14193 11.8928i 0.319557 0.917546i
\(169\) 3.36894 2.29691i 0.259150 0.176685i
\(170\) 2.04367 + 27.2708i 0.156742 + 2.09158i
\(171\) −5.72192 + 9.73651i −0.437566 + 0.744570i
\(172\) 0.0882146 + 0.0272106i 0.00672630 + 0.00207479i
\(173\) −4.52929 2.18119i −0.344355 0.165833i 0.253710 0.967280i \(-0.418349\pi\)
−0.598065 + 0.801448i \(0.704064\pi\)
\(174\) −6.83719 7.42595i −0.518326 0.562960i
\(175\) 1.14789 + 26.8549i 0.0867724 + 2.03004i
\(176\) 16.9479 + 11.5549i 1.27749 + 0.870980i
\(177\) 2.54060 + 17.3083i 0.190963 + 1.30097i
\(178\) 2.18369 + 3.78226i 0.163674 + 0.283492i
\(179\) −0.371091 + 4.95187i −0.0277366 + 0.370120i 0.966013 + 0.258492i \(0.0832255\pi\)
−0.993750 + 0.111628i \(0.964394\pi\)
\(180\) −1.12604 + 0.531616i −0.0839300 + 0.0396243i
\(181\) 0.306735 + 1.34390i 0.0227995 + 0.0998910i 0.985047 0.172283i \(-0.0551144\pi\)
−0.962248 + 0.272174i \(0.912257\pi\)
\(182\) −12.8182 9.35535i −0.950146 0.693465i
\(183\) 2.39027 + 0.188396i 0.176694 + 0.0139266i
\(184\) 0.556244 7.42257i 0.0410069 0.547199i
\(185\) 0.482939 2.11589i 0.0355064 0.155564i
\(186\) −4.49483 + 4.80697i −0.329577 + 0.352464i
\(187\) −5.25679 23.0315i −0.384415 1.68423i
\(188\) −0.456112 + 0.571946i −0.0332654 + 0.0417135i
\(189\) −10.3642 9.03239i −0.753882 0.657010i
\(190\) 13.2637 + 16.6322i 0.962251 + 1.20662i
\(191\) −10.4379 + 13.0887i −0.755260 + 0.947066i −0.999745 0.0225872i \(-0.992810\pi\)
0.244485 + 0.969653i \(0.421381\pi\)
\(192\) −3.89197 + 12.4469i −0.280879 + 0.898276i
\(193\) −0.531848 + 0.666916i −0.0382833 + 0.0480057i −0.800605 0.599193i \(-0.795488\pi\)
0.762321 + 0.647199i \(0.224060\pi\)
\(194\) −10.3357 9.59015i −0.742062 0.688533i
\(195\) −4.04732 27.5731i −0.289835 1.97455i
\(196\) −0.212363 + 0.715391i −0.0151688 + 0.0510994i
\(197\) 5.39983 0.384722 0.192361 0.981324i \(-0.438386\pi\)
0.192361 + 0.981324i \(0.438386\pi\)
\(198\) 17.6543 11.8382i 1.25464 0.841302i
\(199\) −9.36951 23.8731i −0.664187 1.69232i −0.720087 0.693884i \(-0.755898\pi\)
0.0559000 0.998436i \(-0.482197\pi\)
\(200\) −2.08641 27.8412i −0.147531 1.96867i
\(201\) 7.75119 + 4.51508i 0.546726 + 0.318469i
\(202\) −1.81454 + 4.62336i −0.127670 + 0.325299i
\(203\) −7.55177 7.47187i −0.530031 0.524423i
\(204\) −0.775565 + 0.443795i −0.0543004 + 0.0310719i
\(205\) −4.46195 19.5491i −0.311636 1.36537i
\(206\) 22.5352 3.39663i 1.57010 0.236654i
\(207\) −7.29357 3.58193i −0.506938 0.248962i
\(208\) 14.3469 + 9.78154i 0.994777 + 0.678227i
\(209\) −13.4712 12.4994i −0.931821 0.864603i
\(210\) −22.8779 + 12.1342i −1.57872 + 0.837337i
\(211\) −3.28361 + 3.04674i −0.226053 + 0.209747i −0.785066 0.619413i \(-0.787371\pi\)
0.559013 + 0.829159i \(0.311180\pi\)
\(212\) 1.49246 0.224953i 0.102503 0.0154498i
\(213\) −7.14961 10.5739i −0.489884 0.724513i
\(214\) 3.57436 + 6.19097i 0.244338 + 0.423206i
\(215\) 1.68580 + 2.91988i 0.114970 + 0.199134i
\(216\) 11.0605 + 9.03167i 0.752571 + 0.614528i
\(217\) −4.48987 + 5.27379i −0.304792 + 0.358008i
\(218\) −10.8736 + 7.41348i −0.736451 + 0.502104i
\(219\) 4.17919 + 4.53907i 0.282404 + 0.306722i
\(220\) −0.450885 1.97546i −0.0303986 0.133185i
\(221\) −4.45003 19.4969i −0.299342 1.31150i
\(222\) 1.36736 0.306550i 0.0917712 0.0205743i
\(223\) 1.90326 1.29762i 0.127452 0.0868951i −0.497916 0.867225i \(-0.665901\pi\)
0.625368 + 0.780330i \(0.284949\pi\)
\(224\) 0.404330 1.54173i 0.0270155 0.103011i
\(225\) −29.0542 9.20795i −1.93695 0.613864i
\(226\) −3.14273 5.44336i −0.209051 0.362087i
\(227\) −9.71043 16.8190i −0.644504 1.11631i −0.984416 0.175856i \(-0.943731\pi\)
0.339912 0.940457i \(-0.389603\pi\)
\(228\) −0.304004 + 0.625095i −0.0201332 + 0.0413979i
\(229\) −6.81611 + 1.02736i −0.450421 + 0.0678901i −0.370336 0.928898i \(-0.620757\pi\)
−0.0800854 + 0.996788i \(0.525519\pi\)
\(230\) −11.2203 + 10.4110i −0.739847 + 0.686478i
\(231\) 17.9799 13.3105i 1.18299 0.875764i
\(232\) 8.08881 + 7.50532i 0.531057 + 0.492748i
\(233\) −10.9360 7.45604i −0.716441 0.488461i 0.149402 0.988777i \(-0.452265\pi\)
−0.865843 + 0.500315i \(0.833217\pi\)
\(234\) 14.9449 10.0214i 0.976981 0.655118i
\(235\) −26.4193 + 3.98208i −1.72341 + 0.259762i
\(236\) 0.239595 + 1.04973i 0.0155963 + 0.0683318i
\(237\) −4.01875 2.34093i −0.261046 0.152060i
\(238\) −15.6821 + 9.97042i −1.01652 + 0.646287i
\(239\) 6.95825 17.7293i 0.450091 1.14681i −0.508255 0.861207i \(-0.669709\pi\)
0.958347 0.285608i \(-0.0921955\pi\)
\(240\) 24.5944 14.0734i 1.58756 0.908436i
\(241\) 1.37536 + 18.3529i 0.0885946 + 1.18221i 0.847421 + 0.530921i \(0.178154\pi\)
−0.758827 + 0.651293i \(0.774227\pi\)
\(242\) 6.80366 + 17.3354i 0.437356 + 1.11436i
\(243\) 13.6477 7.53257i 0.875502 0.483215i
\(244\) 0.147576 0.00944758
\(245\) −23.4569 + 13.8776i −1.49861 + 0.886606i
\(246\) 10.1533 8.03315i 0.647351 0.512175i
\(247\) −11.4038 10.5811i −0.725604 0.673262i
\(248\) 4.48545 5.62457i 0.284826 0.357161i
\(249\) 19.8442 + 21.5530i 1.25757 + 1.36587i
\(250\) −18.1789 + 22.7956i −1.14973 + 1.44172i
\(251\) −3.96463 4.97149i −0.250245 0.313798i 0.640804 0.767705i \(-0.278601\pi\)
−0.891049 + 0.453907i \(0.850030\pi\)
\(252\) −0.679617 0.504096i −0.0428119 0.0317551i
\(253\) 8.24396 10.3376i 0.518293 0.649919i
\(254\) −1.72796 7.57068i −0.108422 0.475027i
\(255\) −31.7885 7.38457i −1.99067 0.462440i
\(256\) −0.567744 + 2.48745i −0.0354840 + 0.155465i
\(257\) −1.00063 + 13.3525i −0.0624176 + 0.832905i 0.874872 + 0.484354i \(0.160945\pi\)
−0.937290 + 0.348551i \(0.886674\pi\)
\(258\) −1.23324 + 1.79393i −0.0767779 + 0.111685i
\(259\) 1.42248 0.389273i 0.0883887 0.0241882i
\(260\) −0.381688 1.67228i −0.0236713 0.103711i
\(261\) 10.8929 5.14268i 0.674256 0.318324i
\(262\) −1.44255 + 19.2495i −0.0891210 + 1.18924i
\(263\) 5.60982 + 9.71649i 0.345916 + 0.599145i 0.985520 0.169560i \(-0.0542348\pi\)
−0.639603 + 0.768705i \(0.720901\pi\)
\(264\) −18.2224 + 14.4173i −1.12151 + 0.887323i
\(265\) 45.5455 + 31.0524i 2.79784 + 1.90753i
\(266\) −5.71022 + 13.2802i −0.350116 + 0.814262i
\(267\) −5.08558 + 1.14014i −0.311232 + 0.0697755i
\(268\) 0.497441 + 0.239555i 0.0303860 + 0.0146331i
\(269\) 5.99992 + 1.85073i 0.365822 + 0.112841i 0.472216 0.881483i \(-0.343454\pi\)
−0.106394 + 0.994324i \(0.533931\pi\)
\(270\) −4.04038 29.0847i −0.245890 1.77004i
\(271\) 0.114571 + 1.52884i 0.00695966 + 0.0928703i 0.999602 0.0282139i \(-0.00898196\pi\)
−0.992642 + 0.121084i \(0.961363\pi\)
\(272\) 16.8007 11.4545i 1.01869 0.694531i
\(273\) 15.2205 11.2677i 0.921189 0.681953i
\(274\) 22.4083 + 15.2777i 1.35373 + 0.922959i
\(275\) 24.7976 42.9507i 1.49535 2.59003i
\(276\) −0.464849 0.184511i −0.0279806 0.0111063i
\(277\) 0.922067 + 0.628655i 0.0554016 + 0.0377722i 0.590704 0.806888i \(-0.298850\pi\)
−0.535303 + 0.844660i \(0.679802\pi\)
\(278\) 8.21232 20.9247i 0.492542 1.25498i
\(279\) −3.87421 6.83143i −0.231943 0.408987i
\(280\) 23.8894 15.1885i 1.42767 0.907688i
\(281\) 5.90560 + 5.47960i 0.352299 + 0.326885i 0.836393 0.548131i \(-0.184660\pi\)
−0.484094 + 0.875016i \(0.660851\pi\)
\(282\) −9.66273 14.2907i −0.575407 0.850997i
\(283\) −0.566367 + 2.48142i −0.0336670 + 0.147505i −0.988968 0.148131i \(-0.952674\pi\)
0.955301 + 0.295636i \(0.0955315\pi\)
\(284\) −0.489831 0.614228i −0.0290661 0.0364477i
\(285\) −23.6673 + 9.18359i −1.40193 + 0.543989i
\(286\) 10.6972 + 27.2560i 0.632539 + 1.61168i
\(287\) 10.2805 8.94272i 0.606841 0.527872i
\(288\) 1.48535 + 1.02956i 0.0875251 + 0.0606674i
\(289\) −6.34695 0.956648i −0.373350 0.0562734i
\(290\) −1.69569 22.6274i −0.0995744 1.32873i
\(291\) 14.6039 8.35665i 0.856094 0.489876i
\(292\) 0.278383 + 0.258302i 0.0162911 + 0.0151160i
\(293\) 13.6969 + 23.7236i 0.800179 + 1.38595i 0.919498 + 0.393094i \(0.128595\pi\)
−0.119320 + 0.992856i \(0.538071\pi\)
\(294\) −14.6066 9.81418i −0.851875 0.572375i
\(295\) −19.6623 + 34.0561i −1.14478 + 1.98282i
\(296\) −1.46378 + 0.451516i −0.0850804 + 0.0262438i
\(297\) 7.19591 + 24.3238i 0.417549 + 1.41141i
\(298\) −25.3147 + 17.2593i −1.46644 + 0.999804i
\(299\) 6.97876 8.75109i 0.403592 0.506089i
\(300\) −1.82727 0.424480i −0.105497 0.0245074i
\(301\) −1.20860 + 1.94638i −0.0696625 + 0.112187i
\(302\) −20.6801 3.11702i −1.19000 0.179364i
\(303\) −4.61965 3.71327i −0.265392 0.213322i
\(304\) 5.77884 14.7242i 0.331439 0.844494i
\(305\) 3.95101 + 3.66600i 0.226234 + 0.209915i
\(306\) −4.53030 20.5787i −0.258980 1.17640i
\(307\) −3.53392 + 15.4831i −0.201691 + 0.883667i 0.768216 + 0.640191i \(0.221145\pi\)
−0.969907 + 0.243476i \(0.921712\pi\)
\(308\) 1.03886 0.903671i 0.0591945 0.0514914i
\(309\) −4.15702 + 26.8766i −0.236485 + 1.52896i
\(310\) −14.6285 + 2.20489i −0.830842 + 0.125229i
\(311\) −28.6816 + 13.8123i −1.62639 + 0.783226i −0.626393 + 0.779507i \(0.715469\pi\)
−0.999993 + 0.00371881i \(0.998816\pi\)
\(312\) −15.4258 + 12.2047i −0.873314 + 0.690954i
\(313\) −9.08530 −0.513532 −0.256766 0.966474i \(-0.582657\pi\)
−0.256766 + 0.966474i \(0.582657\pi\)
\(314\) −2.41631 + 1.16363i −0.136360 + 0.0656675i
\(315\) −5.67273 30.3787i −0.319622 1.71165i
\(316\) −0.257908 0.124202i −0.0145085 0.00698690i
\(317\) 8.14256 + 3.92125i 0.457332 + 0.220239i 0.648343 0.761349i \(-0.275462\pi\)
−0.191011 + 0.981588i \(0.561177\pi\)
\(318\) −5.44032 + 35.1736i −0.305078 + 1.97244i
\(319\) 4.36171 + 19.1099i 0.244209 + 1.06995i
\(320\) −24.2216 + 16.5140i −1.35403 + 0.923163i
\(321\) −8.32431 + 1.86624i −0.464618 + 0.104163i
\(322\) −9.83553 3.38300i −0.548113 0.188527i
\(323\) −16.4132 + 7.90417i −0.913253 + 0.439800i
\(324\) 0.800982 0.528194i 0.0444990 0.0293441i
\(325\) 20.9919 36.3591i 1.16442 2.01684i
\(326\) 19.3106 + 13.1658i 1.06952 + 0.729184i
\(327\) −4.57122 15.0249i −0.252789 0.830880i
\(328\) −10.3748 + 9.62640i −0.572852 + 0.531529i
\(329\) −10.8586 14.5503i −0.598655 0.802184i
\(330\) 47.6341 + 3.75441i 2.62217 + 0.206673i
\(331\) −22.3924 + 10.7836i −1.23080 + 0.592722i −0.932300 0.361687i \(-0.882201\pi\)
−0.298501 + 0.954409i \(0.596487\pi\)
\(332\) 1.32185 + 1.22650i 0.0725462 + 0.0673130i
\(333\) −0.137821 + 1.66656i −0.00755253 + 0.0913268i
\(334\) 2.33293 2.16464i 0.127652 0.118444i
\(335\) 7.36696 + 18.7707i 0.402500 + 1.02555i
\(336\) 16.3189 + 10.2206i 0.890268 + 0.557578i
\(337\) −1.28179 + 3.26595i −0.0698237 + 0.177908i −0.961526 0.274715i \(-0.911416\pi\)
0.891702 + 0.452623i \(0.149512\pi\)
\(338\) 2.16211 + 5.50897i 0.117603 + 0.299649i
\(339\) 7.31908 1.64087i 0.397518 0.0891200i
\(340\) −1.98623 0.299375i −0.107718 0.0162359i
\(341\) 12.2117 3.76681i 0.661301 0.203984i
\(342\) −11.9294 11.2413i −0.645068 0.607858i
\(343\) −15.8368 9.60193i −0.855105 0.518456i
\(344\) 1.18986 2.06090i 0.0641529 0.111116i
\(345\) −7.86176 16.4874i −0.423263 0.887652i
\(346\) 4.54926 5.70460i 0.244570 0.306681i
\(347\) −10.2081 4.91594i −0.547997 0.263901i 0.139334 0.990245i \(-0.455504\pi\)
−0.687331 + 0.726344i \(0.741218\pi\)
\(348\) 0.643509 0.368230i 0.0344957 0.0197392i
\(349\) 28.2424 4.25686i 1.51178 0.227865i 0.659803 0.751439i \(-0.270640\pi\)
0.851980 + 0.523574i \(0.175402\pi\)
\(350\) −38.3711 7.04904i −2.05102 0.376787i
\(351\) 6.09156 + 20.5909i 0.325143 + 1.09906i
\(352\) −2.15579 + 2.00029i −0.114904 + 0.106616i
\(353\) −11.6065 + 29.5729i −0.617751 + 1.57400i 0.188270 + 0.982117i \(0.439712\pi\)
−0.806021 + 0.591887i \(0.798383\pi\)
\(354\) −25.3122 1.99505i −1.34533 0.106036i
\(355\) 2.14422 28.6127i 0.113804 1.51860i
\(356\) −0.306532 + 0.0945527i −0.0162462 + 0.00501128i
\(357\) −5.77100 21.4123i −0.305434 1.13326i
\(358\) −6.88716 2.12441i −0.363998 0.112279i
\(359\) 5.57404 14.2024i 0.294187 0.749575i −0.704998 0.709209i \(-0.749052\pi\)
0.999185 0.0403663i \(-0.0128525\pi\)
\(360\) 6.90127 + 31.3487i 0.363729 + 1.65222i
\(361\) 2.41444 4.18194i 0.127076 0.220102i
\(362\) −2.00071 −0.105155
\(363\) −22.1676 + 1.57532i −1.16350 + 0.0826828i
\(364\) 0.879425 0.764985i 0.0460944 0.0400961i
\(365\) 1.03648 + 13.8309i 0.0542519 + 0.723942i
\(366\) −1.03857 + 3.32145i −0.0542870 + 0.173615i
\(367\) 4.16600 3.86549i 0.217464 0.201777i −0.563917 0.825831i \(-0.690706\pi\)
0.781381 + 0.624055i \(0.214516\pi\)
\(368\) 10.8753 + 3.35459i 0.566915 + 0.174870i
\(369\) 5.53352 + 14.4253i 0.288064 + 0.750949i
\(370\) 2.83807 + 1.36674i 0.147544 + 0.0710535i
\(371\) −3.99597 + 37.2444i −0.207460 + 1.93363i
\(372\) −0.270756 0.400434i −0.0140380 0.0207615i
\(373\) −7.35405 + 12.7376i −0.380778 + 0.659527i −0.991174 0.132570i \(-0.957677\pi\)
0.610396 + 0.792097i \(0.291011\pi\)
\(374\) 34.2879 1.77299
\(375\) −19.4893 28.8237i −1.00642 1.48845i
\(376\) 11.7576 + 14.7436i 0.606354 + 0.760344i
\(377\) 3.69232 + 16.1771i 0.190164 + 0.833164i
\(378\) 16.1284 11.7484i 0.829554 0.604270i
\(379\) 0.618129 2.70820i 0.0317511 0.139111i −0.956568 0.291509i \(-0.905843\pi\)
0.988319 + 0.152398i \(0.0486997\pi\)
\(380\) −1.40779 + 0.677955i −0.0722180 + 0.0347784i
\(381\) 9.23819 + 0.728132i 0.473287 + 0.0373033i
\(382\) −15.1497 18.9972i −0.775127 0.971979i
\(383\) 25.9982 + 8.01940i 1.32845 + 0.409772i 0.876126 0.482082i \(-0.160119\pi\)
0.452323 + 0.891854i \(0.350596\pi\)
\(384\) −18.1589 10.5776i −0.926668 0.539786i
\(385\) 50.2616 + 1.61303i 2.56157 + 0.0822075i
\(386\) −0.771932 0.967973i −0.0392903 0.0492685i
\(387\) −1.60403 2.04351i −0.0815372 0.103877i
\(388\) 0.855665 0.583383i 0.0434398 0.0296168i
\(389\) 26.8018 + 4.03972i 1.35890 + 0.204822i 0.787737 0.616012i \(-0.211253\pi\)
0.571167 + 0.820834i \(0.306491\pi\)
\(390\) 40.3238 + 3.17822i 2.04187 + 0.160935i
\(391\) −6.55373 11.3514i −0.331436 0.574064i
\(392\) 16.7608 + 9.44061i 0.846550 + 0.476823i
\(393\) −21.4109 8.49854i −1.08003 0.428695i
\(394\) −1.74398 + 7.64089i −0.0878606 + 0.384943i
\(395\) −3.81954 9.73204i −0.192182 0.489672i
\(396\) 0.559168 + 1.45769i 0.0280993 + 0.0732515i
\(397\) −0.968607 0.145994i −0.0486130 0.00732723i 0.124691 0.992196i \(-0.460206\pi\)
−0.173304 + 0.984868i \(0.555444\pi\)
\(398\) 36.8071 5.54778i 1.84498 0.278085i
\(399\) −13.0921 11.2334i −0.655427 0.562373i
\(400\) 42.2117 + 6.36240i 2.11059 + 0.318120i
\(401\) 2.37540 + 0.732714i 0.118622 + 0.0365900i 0.353498 0.935435i \(-0.384992\pi\)
−0.234876 + 0.972025i \(0.575468\pi\)
\(402\) −8.89236 + 9.50989i −0.443510 + 0.474310i
\(403\) 10.3376 3.18872i 0.514952 0.158842i
\(404\) −0.301415 0.205501i −0.0149960 0.0102241i
\(405\) 34.5656 + 5.75637i 1.71758 + 0.286036i
\(406\) 13.0119 8.27276i 0.645769 0.410570i
\(407\) −2.60023 0.802065i −0.128889 0.0397569i
\(408\) 6.70456 + 22.0369i 0.331925 + 1.09099i
\(409\) −32.0466 + 15.4328i −1.58460 + 0.763105i −0.998876 0.0474026i \(-0.984906\pi\)
−0.585728 + 0.810508i \(0.699191\pi\)
\(410\) 29.1035 1.43732
\(411\) −25.3813 + 20.0813i −1.25197 + 0.990540i
\(412\) −0.125091 + 1.66922i −0.00616279 + 0.0822368i
\(413\) −26.7084 0.857144i −1.31423 0.0421773i
\(414\) 7.42413 9.16373i 0.364876 0.450373i
\(415\) 4.92156 + 65.6736i 0.241590 + 3.22379i
\(416\) −1.82495 + 1.69330i −0.0894753 + 0.0830210i
\(417\) 20.9078 + 16.8057i 1.02386 + 0.822980i
\(418\) 22.0378 15.0251i 1.07790 0.734902i
\(419\) 0.0972686 + 1.29796i 0.00475188 + 0.0634095i 0.999076 0.0429876i \(-0.0136876\pi\)
−0.994324 + 0.106397i \(0.966069\pi\)
\(420\) −0.494990 1.83657i −0.0241530 0.0896156i
\(421\) 1.43345 19.1280i 0.0698619 0.932243i −0.846628 0.532185i \(-0.821371\pi\)
0.916490 0.400058i \(-0.131010\pi\)
\(422\) −3.25071 5.63040i −0.158242 0.274083i
\(423\) 19.7180 5.91608i 0.958720 0.287650i
\(424\) 2.90754 38.7984i 0.141203 1.88422i
\(425\) −30.6536 38.4384i −1.48692 1.86453i
\(426\) 17.2715 6.70183i 0.836805 0.324705i
\(427\) −0.929104 + 3.54272i −0.0449625 + 0.171444i
\(428\) −0.501746 + 0.154768i −0.0242528 + 0.00748101i
\(429\) −34.8536 + 2.47683i −1.68275 + 0.119583i
\(430\) −4.67617 + 1.44241i −0.225505 + 0.0695591i
\(431\) 35.2909 5.31925i 1.69990 0.256219i 0.773784 0.633450i \(-0.218362\pi\)
0.926119 + 0.377230i \(0.123124\pi\)
\(432\) −17.2264 + 13.4146i −0.828804 + 0.645410i
\(433\) −0.106761 + 0.133874i −0.00513059 + 0.00643356i −0.784390 0.620268i \(-0.787024\pi\)
0.779260 + 0.626701i \(0.215595\pi\)
\(434\) −6.01245 8.05655i −0.288607 0.386727i
\(435\) 26.3759 + 6.12720i 1.26463 + 0.293777i
\(436\) −0.353148 0.899808i −0.0169127 0.0430930i
\(437\) −9.18648 4.42398i −0.439449 0.211628i
\(438\) −7.77265 + 4.44768i −0.371392 + 0.212518i
\(439\) −0.281552 + 1.23356i −0.0134377 + 0.0588745i −0.981202 0.192982i \(-0.938184\pi\)
0.967765 + 0.251857i \(0.0810412\pi\)
\(440\) −52.2328 −2.49010
\(441\) 16.3801 13.1413i 0.780004 0.625775i
\(442\) 29.0258 1.38062
\(443\) −1.30820 + 5.73158i −0.0621543 + 0.272316i −0.996450 0.0841823i \(-0.973172\pi\)
0.934296 + 0.356498i \(0.116029\pi\)
\(444\) −0.000396794 0.102925i −1.88310e−5 0.00488460i
\(445\) −10.5555 5.08328i −0.500380 0.240970i
\(446\) 1.22147 + 3.11225i 0.0578382 + 0.147369i
\(447\) −10.6422 34.9795i −0.503360 1.65447i
\(448\) −17.6615 9.21453i −0.834426 0.435346i
\(449\) 20.9552 26.2770i 0.988937 1.24009i 0.0182266 0.999834i \(-0.494198\pi\)
0.970710 0.240254i \(-0.0772306\pi\)
\(450\) 22.4131 38.1385i 1.05657 1.79787i
\(451\) −24.8601 + 3.74706i −1.17062 + 0.176442i
\(452\) 0.441156 0.136079i 0.0207502 0.00640060i
\(453\) 10.9152 22.4439i 0.512841 1.05451i
\(454\) 26.9354 8.30848i 1.26414 0.389936i
\(455\) 42.5480 + 1.36548i 1.99468 + 0.0640146i
\(456\) 13.9659 + 11.2258i 0.654012 + 0.525694i
\(457\) −9.09121 11.4000i −0.425269 0.533270i 0.522326 0.852746i \(-0.325065\pi\)
−0.947594 + 0.319476i \(0.896493\pi\)
\(458\) 0.747656 9.97678i 0.0349357 0.466184i
\(459\) 25.0519 + 2.16901i 1.16932 + 0.101241i
\(460\) −0.562126 0.973630i −0.0262092 0.0453957i
\(461\) 0.971992 12.9703i 0.0452702 0.604088i −0.927725 0.373264i \(-0.878239\pi\)
0.972995 0.230825i \(-0.0741423\pi\)
\(462\) 13.0277 + 29.7409i 0.606102 + 1.38367i
\(463\) 1.85226 + 24.7167i 0.0860820 + 1.14868i 0.858238 + 0.513252i \(0.171559\pi\)
−0.772156 + 0.635433i \(0.780822\pi\)
\(464\) −13.9400 + 9.50414i −0.647149 + 0.441219i
\(465\) 2.69849 17.4467i 0.125140 0.809070i
\(466\) 14.0825 13.0666i 0.652359 0.605300i
\(467\) 1.90537 + 25.4255i 0.0881702 + 1.17655i 0.849286 + 0.527933i \(0.177033\pi\)
−0.761116 + 0.648616i \(0.775348\pi\)
\(468\) 0.473353 + 1.23398i 0.0218807 + 0.0570406i
\(469\) −8.88255 + 10.4334i −0.410158 + 0.481771i
\(470\) 2.89793 38.6701i 0.133671 1.78372i
\(471\) −0.464798 3.16652i −0.0214168 0.145905i
\(472\) 27.7559 1.27757
\(473\) 3.80866 1.83415i 0.175122 0.0843344i
\(474\) 4.61042 4.93059i 0.211763 0.226469i
\(475\) −36.5457 11.2729i −1.67683 0.517234i
\(476\) −0.457657 1.28593i −0.0209767 0.0589404i
\(477\) −38.1241 18.7231i −1.74558 0.857272i
\(478\) 22.8401 + 15.5721i 1.04468 + 0.712253i
\(479\) −4.63491 + 1.42968i −0.211775 + 0.0653238i −0.398827 0.917026i \(-0.630583\pi\)
0.187053 + 0.982350i \(0.440106\pi\)
\(480\) 1.18250 + 3.88672i 0.0539737 + 0.177404i
\(481\) −2.20117 0.678972i −0.100365 0.0309585i
\(482\) −26.4140 3.98127i −1.20312 0.181342i
\(483\) 7.35597 9.99757i 0.334708 0.454905i
\(484\) −1.35256 + 0.203866i −0.0614802 + 0.00926665i
\(485\) 37.4006 + 5.63723i 1.69827 + 0.255974i
\(486\) 6.25097 + 21.7447i 0.283550 + 0.986358i
\(487\) −11.5106 29.3285i −0.521595 1.32900i −0.912691 0.408651i \(-0.865999\pi\)
0.391096 0.920350i \(-0.372096\pi\)
\(488\) 0.846516 3.70883i 0.0383200 0.167891i
\(489\) −21.8727 + 17.3054i −0.989118 + 0.782576i
\(490\) −12.0613 37.6742i −0.544872 1.70195i
\(491\) −17.0373 29.5095i −0.768884 1.33175i −0.938169 0.346179i \(-0.887479\pi\)
0.169285 0.985567i \(-0.445854\pi\)
\(492\) 0.409294 + 0.858358i 0.0184524 + 0.0386978i
\(493\) 19.2141 + 2.89606i 0.865360 + 0.130432i
\(494\) 18.6557 12.7192i 0.839358 0.572265i
\(495\) −21.2406 + 52.9168i −0.954695 + 2.37843i
\(496\) 6.85825 + 8.59998i 0.307945 + 0.386150i
\(497\) 17.8291 7.89188i 0.799743 0.353999i
\(498\) −36.9071 + 21.1191i −1.65385 + 0.946367i
\(499\) −20.3386 6.27362i −0.910480 0.280846i −0.196084 0.980587i \(-0.562822\pi\)
−0.714396 + 0.699741i \(0.753299\pi\)
\(500\) −1.33524 1.67434i −0.0597138 0.0748788i
\(501\) 1.63461 + 3.42805i 0.0730291 + 0.153154i
\(502\) 8.31524 4.00441i 0.371127 0.178726i
\(503\) 2.09179 9.16472i 0.0932682 0.408635i −0.906644 0.421897i \(-0.861364\pi\)
0.999912 + 0.0132622i \(0.00422162\pi\)
\(504\) −16.5671 + 14.1883i −0.737959 + 0.631999i
\(505\) −2.96475 12.9894i −0.131930 0.578022i
\(506\) 11.9654 + 15.0041i 0.531927 + 0.667016i
\(507\) −7.04458 + 0.500615i −0.312861 + 0.0222331i
\(508\) 0.570367 0.0253060
\(509\) −6.04897 + 10.4771i −0.268116 + 0.464391i −0.968375 0.249498i \(-0.919734\pi\)
0.700259 + 0.713889i \(0.253068\pi\)
\(510\) 20.7161 42.5966i 0.917324 1.88621i
\(511\) −7.95344 + 5.05668i −0.351840 + 0.223694i
\(512\) 18.5265 + 8.92191i 0.818765 + 0.394296i
\(513\) 17.0520 9.58377i 0.752865 0.423134i
\(514\) −18.5709 5.72837i −0.819129 0.252668i
\(515\) −44.8150 + 41.5823i −1.97479 + 1.83233i
\(516\) −0.108304 0.117630i −0.00476783 0.00517839i
\(517\) 2.50336 + 33.4050i 0.110097 + 1.46915i
\(518\) 0.0914114 + 2.13857i 0.00401639 + 0.0939634i
\(519\) 4.87719 + 7.21312i 0.214085 + 0.316621i
\(520\) −44.2167 −1.93903
\(521\) −2.74193 + 4.74916i −0.120126 + 0.208064i −0.919817 0.392347i \(-0.871663\pi\)
0.799691 + 0.600411i \(0.204997\pi\)
\(522\) 3.75892 + 17.0747i 0.164524 + 0.747340i
\(523\) 6.40727 16.3255i 0.280170 0.713862i −0.719639 0.694348i \(-0.755693\pi\)
0.999810 0.0195143i \(-0.00621199\pi\)
\(524\) −1.35485 0.417916i −0.0591869 0.0182567i
\(525\) 21.6942 41.1931i 0.946811 1.79782i
\(526\) −15.5609 + 4.79990i −0.678487 + 0.209286i
\(527\) 0.946717 12.6331i 0.0412396 0.550305i
\(528\) −15.2915 32.0687i −0.665476 1.39561i
\(529\) −5.72260 + 14.5810i −0.248809 + 0.633955i
\(530\) −58.6497 + 54.4190i −2.54758 + 2.36381i
\(531\) 11.2870 28.1194i 0.489814 1.22028i
\(532\) −0.857647 0.625954i −0.0371837 0.0271386i
\(533\) −21.0448 + 3.17200i −0.911553 + 0.137394i
\(534\) 0.0291623 7.56445i 0.00126198 0.327346i
\(535\) −17.2778 8.32055i −0.746984 0.359729i
\(536\) 8.87380 11.1274i 0.383290 0.480630i
\(537\) 4.87244 7.08769i 0.210261 0.305857i
\(538\) −4.55663 + 7.89231i −0.196450 + 0.340262i
\(539\) 15.1532 + 30.6282i 0.652694 + 1.31925i
\(540\) 2.14875 + 0.186040i 0.0924675 + 0.00800590i
\(541\) −33.9249 + 10.4644i −1.45854 + 0.449901i −0.919740 0.392529i \(-0.871600\pi\)
−0.538805 + 0.842431i \(0.681124\pi\)
\(542\) −2.20035 0.331649i −0.0945130 0.0142455i
\(543\) 0.712535 2.27875i 0.0305778 0.0977907i
\(544\) 1.06508 + 2.71378i 0.0456650 + 0.116353i
\(545\) 12.8978 32.8630i 0.552481 1.40770i
\(546\) 11.0283 + 25.1766i 0.471968 + 1.07746i
\(547\) 6.35530 + 16.1930i 0.271733 + 0.692364i 0.999975 + 0.00704441i \(0.00224233\pi\)
−0.728242 + 0.685320i \(0.759662\pi\)
\(548\) −1.46026 + 1.35492i −0.0623791 + 0.0578793i
\(549\) −3.41316 2.36581i −0.145670 0.100970i
\(550\) 52.7675 + 48.9611i 2.25001 + 2.08771i
\(551\) 13.6185 6.55832i 0.580168 0.279394i
\(552\) −7.30351 + 10.6240i −0.310858 + 0.452190i
\(553\) 4.60533 5.40941i 0.195839 0.230032i
\(554\) −1.18736 + 1.10171i −0.0504462 + 0.0468072i
\(555\) −2.56743 + 2.74572i −0.108981 + 0.116549i
\(556\) 1.36416 + 0.930069i 0.0578533 + 0.0394437i
\(557\) −2.16786 + 3.75485i −0.0918553 + 0.159098i −0.908292 0.418337i \(-0.862613\pi\)
0.816437 + 0.577435i \(0.195946\pi\)
\(558\) 10.9179 3.27576i 0.462192 0.138674i
\(559\) 3.22414 1.55267i 0.136367 0.0656707i
\(560\) 14.5130 + 40.7788i 0.613286 + 1.72322i
\(561\) −12.2113 + 39.0530i −0.515563 + 1.64882i
\(562\) −9.66110 + 6.58683i −0.407529 + 0.277849i
\(563\) 1.41993 + 6.22112i 0.0598429 + 0.262189i 0.995995 0.0894056i \(-0.0284967\pi\)
−0.936152 + 0.351595i \(0.885640\pi\)
\(564\) 1.18126 0.458364i 0.0497402 0.0193006i
\(565\) 15.1914 + 7.31577i 0.639105 + 0.307777i
\(566\) −3.32835 1.60285i −0.139901 0.0673727i
\(567\) 7.63707 + 22.5538i 0.320727 + 0.947172i
\(568\) −18.2463 + 8.78696i −0.765598 + 0.368693i
\(569\) −31.0010 −1.29963 −0.649815 0.760092i \(-0.725154\pi\)
−0.649815 + 0.760092i \(0.725154\pi\)
\(570\) −5.35118 36.4559i −0.224136 1.52697i
\(571\) 8.19946 3.94865i 0.343137 0.165246i −0.254376 0.967105i \(-0.581870\pi\)
0.597513 + 0.801859i \(0.296156\pi\)
\(572\) −2.12660 + 0.320534i −0.0889177 + 0.0134022i
\(573\) 27.0326 10.4894i 1.12930 0.438203i
\(574\) 9.33387 + 17.4354i 0.389588 + 0.727742i
\(575\) 6.12321 26.8275i 0.255356 1.11879i
\(576\) 16.6761 15.2356i 0.694839 0.634817i
\(577\) 9.70938 + 9.00899i 0.404207 + 0.375049i 0.855915 0.517117i \(-0.172995\pi\)
−0.451708 + 0.892166i \(0.649185\pi\)
\(578\) 3.40356 8.67212i 0.141569 0.360713i
\(579\) 1.37741 0.534474i 0.0572432 0.0222120i
\(580\) 1.64803 + 0.248401i 0.0684307 + 0.0103143i
\(581\) −37.7656 + 24.0108i −1.56678 + 0.996135i
\(582\) 7.10826 + 23.3638i 0.294647 + 0.968461i
\(583\) 43.0919 54.0356i 1.78469 2.23792i
\(584\) 8.08839 5.51457i 0.334700 0.228195i
\(585\) −17.9808 + 44.7957i −0.743416 + 1.85207i
\(586\) −37.9932 + 11.7194i −1.56949 + 0.484122i
\(587\) 16.0451 27.7909i 0.662251 1.14705i −0.317772 0.948167i \(-0.602935\pi\)
0.980023 0.198885i \(-0.0637319\pi\)
\(588\) 0.941512 0.885552i 0.0388273 0.0365196i
\(589\) −4.92738 8.53447i −0.203029 0.351657i
\(590\) −41.8399 38.8218i −1.72252 1.59827i
\(591\) −8.08165 4.70758i −0.332435 0.193644i
\(592\) −0.175031 2.33563i −0.00719373 0.0959937i
\(593\) −14.8554 2.23910i −0.610040 0.0919487i −0.163246 0.986585i \(-0.552196\pi\)
−0.446794 + 0.894637i \(0.647434\pi\)
\(594\) −36.7429 + 2.32652i −1.50758 + 0.0954581i
\(595\) 19.6916 45.7967i 0.807279 1.87748i
\(596\) −0.822164 2.09484i −0.0336771 0.0858079i
\(597\) −6.78975 + 43.8981i −0.277886 + 1.79663i
\(598\) 10.1291 + 12.7015i 0.414209 + 0.519402i
\(599\) −8.07745 + 35.3896i −0.330036 + 1.44598i 0.489023 + 0.872271i \(0.337354\pi\)
−0.819058 + 0.573710i \(0.805504\pi\)
\(600\) −21.1494 + 43.4874i −0.863419 + 1.77537i
\(601\) −21.2092 19.6792i −0.865141 0.802733i 0.116556 0.993184i \(-0.462815\pi\)
−0.981697 + 0.190451i \(0.939005\pi\)
\(602\) −2.36383 2.33882i −0.0963425 0.0953232i
\(603\) −7.66456 13.5150i −0.312125 0.550373i
\(604\) 0.561203 1.42992i 0.0228350 0.0581827i
\(605\) −41.2762 28.1416i −1.67812 1.14412i
\(606\) 6.74638 5.33764i 0.274053 0.216827i
\(607\) 13.7530 23.8209i 0.558217 0.966860i −0.439428 0.898278i \(-0.644819\pi\)
0.997645 0.0685826i \(-0.0218477\pi\)
\(608\) 1.87375 + 1.27750i 0.0759905 + 0.0518095i
\(609\) 4.78837 + 17.7664i 0.194035 + 0.719932i
\(610\) −6.46355 + 4.40677i −0.261701 + 0.178425i
\(611\) 2.11917 + 28.2783i 0.0857323 + 1.14402i
\(612\) 1.54765 + 0.0119331i 0.0625601 + 0.000482368i
\(613\) 12.6665 + 3.90710i 0.511595 + 0.157806i 0.539796 0.841796i \(-0.318502\pi\)
−0.0282006 + 0.999602i \(0.508978\pi\)
\(614\) −20.7676 10.0012i −0.838114 0.403614i
\(615\) −10.3649 + 33.1481i −0.417955 + 1.33666i
\(616\) −16.7517 31.2918i −0.674946 1.26078i
\(617\) −6.70145 4.56897i −0.269790 0.183940i 0.420866 0.907123i \(-0.361726\pi\)
−0.690657 + 0.723183i \(0.742678\pi\)
\(618\) −36.6884 14.5626i −1.47583 0.585795i
\(619\) 13.0274 + 22.5641i 0.523615 + 0.906928i 0.999622 + 0.0274868i \(0.00875042\pi\)
−0.476007 + 0.879442i \(0.657916\pi\)
\(620\) 0.0812017 1.08356i 0.00326114 0.0435169i
\(621\) 7.79318 + 11.7194i 0.312730 + 0.470285i
\(622\) −10.2815 45.0462i −0.412251 1.80619i
\(623\) −0.339984 7.95392i −0.0136212 0.318667i
\(624\) −12.9447 27.1472i −0.518203 1.08676i
\(625\) 2.04891 27.3407i 0.0819562 1.09363i
\(626\) 2.93428 12.8559i 0.117278 0.513826i
\(627\) 9.26462 + 30.4515i 0.369993 + 1.21611i
\(628\) −0.0438334 0.192047i −0.00174914 0.00766350i
\(629\) −1.68186 + 2.10898i −0.0670601 + 0.0840907i
\(630\) 44.8188 + 1.78437i 1.78562 + 0.0710910i
\(631\) 2.66076 + 3.33648i 0.105923 + 0.132823i 0.831967 0.554825i \(-0.187215\pi\)
−0.726044 + 0.687648i \(0.758643\pi\)
\(632\) −4.60080 + 5.76922i −0.183010 + 0.229487i
\(633\) 7.57057 1.69725i 0.300903 0.0674598i
\(634\) −8.17847 + 10.2555i −0.324809 + 0.407297i
\(635\) 15.2703 + 14.1688i 0.605983 + 0.562270i
\(636\) −2.42981 0.964456i −0.0963482 0.0382432i
\(637\) 12.8276 + 25.9277i 0.508249 + 1.02729i
\(638\) −28.4497 −1.12634
\(639\) 1.48212 + 22.0585i 0.0586317 + 0.872621i
\(640\) −17.2588 43.9746i −0.682213 1.73825i
\(641\) −2.43085 32.4375i −0.0960129 1.28120i −0.812235 0.583330i \(-0.801749\pi\)
0.716222 0.697872i \(-0.245870\pi\)
\(642\) 0.0477343 12.3819i 0.00188392 0.488673i
\(643\) −7.54370 + 19.2210i −0.297494 + 0.758004i 0.701478 + 0.712691i \(0.252524\pi\)
−0.998973 + 0.0453128i \(0.985572\pi\)
\(644\) 0.403005 0.649015i 0.0158806 0.0255748i
\(645\) 0.0225132 5.83972i 0.000886456 0.229939i
\(646\) −5.88363 25.7779i −0.231488 1.01422i
\(647\) −44.5158 + 6.70967i −1.75009 + 0.263784i −0.944460 0.328627i \(-0.893414\pi\)
−0.805635 + 0.592412i \(0.798176\pi\)
\(648\) −8.67985 23.1598i −0.340977 0.909803i
\(649\) 40.7377 + 27.7745i 1.59910 + 1.09025i
\(650\) 44.6693 + 41.4470i 1.75207 + 1.62569i
\(651\) 11.3175 3.97875i 0.443566 0.155939i
\(652\) −1.25840 + 1.16762i −0.0492826 + 0.0457276i
\(653\) −43.7744 + 6.59792i −1.71302 + 0.258197i −0.930991 0.365042i \(-0.881055\pi\)
−0.782032 + 0.623238i \(0.785817\pi\)
\(654\) 22.7370 1.61578i 0.889088 0.0631821i
\(655\) −25.8914 44.8452i −1.01166 1.75225i
\(656\) −10.8199 18.7406i −0.422445 0.731697i
\(657\) −2.29762 10.4368i −0.0896388 0.407179i
\(658\) 24.0960 10.6659i 0.939362 0.415800i
\(659\) 30.5062 20.7988i 1.18835 0.810206i 0.202743 0.979232i \(-0.435014\pi\)
0.985612 + 0.169026i \(0.0540621\pi\)
\(660\) −1.04739 + 3.34965i −0.0407695 + 0.130385i
\(661\) −6.14617 26.9281i −0.239058 1.04738i −0.941862 0.335999i \(-0.890926\pi\)
0.702804 0.711383i \(-0.251931\pi\)
\(662\) −8.02702 35.1687i −0.311979 1.36687i
\(663\) −10.3373 + 33.0595i −0.401466 + 1.28393i
\(664\) 38.4064 26.1850i 1.49046 1.01618i
\(665\) −7.41194 38.0637i −0.287423 1.47605i
\(666\) −2.31371 0.733269i −0.0896544 0.0284136i
\(667\) 5.43782 + 9.41858i 0.210553 + 0.364689i
\(668\) 0.116877 + 0.202437i 0.00452210 + 0.00783251i
\(669\) −3.97978 + 0.282819i −0.153867 + 0.0109344i
\(670\) −28.9403 + 4.36205i −1.11806 + 0.168521i
\(671\) 4.95376 4.59642i 0.191238 0.177443i
\(672\) −1.94923 + 1.95494i −0.0751930 + 0.0754134i
\(673\) 2.41861 + 2.24414i 0.0932305 + 0.0865053i 0.725411 0.688316i \(-0.241650\pi\)
−0.632181 + 0.774821i \(0.717840\pi\)
\(674\) −4.20743 2.86857i −0.162064 0.110493i
\(675\) 35.4565 + 39.1106i 1.36472 + 1.50537i
\(676\) −0.429827 + 0.0647860i −0.0165318 + 0.00249177i
\(677\) 5.56628 + 24.3875i 0.213930 + 0.937287i 0.961867 + 0.273517i \(0.0881871\pi\)
−0.747937 + 0.663769i \(0.768956\pi\)
\(678\) −0.0419699 + 10.8866i −0.00161185 + 0.418099i
\(679\) 8.61767 + 24.2140i 0.330716 + 0.929249i
\(680\) −18.9171 + 48.1999i −0.725436 + 1.84838i
\(681\) −0.129679 + 33.6377i −0.00496932 + 1.28900i
\(682\) 1.38612 + 18.4965i 0.0530772 + 0.708266i
\(683\) 11.0303 + 28.1049i 0.422064 + 1.07540i 0.970903 + 0.239474i \(0.0769749\pi\)
−0.548839 + 0.835928i \(0.684930\pi\)
\(684\) 0.999946 0.670517i 0.0382339 0.0256379i
\(685\) −72.7533 −2.77976
\(686\) 18.7018 19.3083i 0.714037 0.737193i
\(687\) 11.0970 + 4.40469i 0.423377 + 0.168049i
\(688\) 2.66728 + 2.47487i 0.101689 + 0.0943536i
\(689\) 36.4786 45.7427i 1.38972 1.74266i
\(690\) 25.8692 5.79964i 0.984824 0.220789i
\(691\) 8.75392 10.9771i 0.333015 0.417588i −0.586928 0.809639i \(-0.699663\pi\)
0.919943 + 0.392051i \(0.128234\pi\)
\(692\) 0.334144 + 0.419003i 0.0127022 + 0.0159281i
\(693\) −38.5137 + 4.24618i −1.46302 + 0.161299i
\(694\) 10.2531 12.8570i 0.389202 0.488043i
\(695\) 13.4180 + 58.7882i 0.508975 + 2.22996i
\(696\) −5.56297 18.2847i −0.210864 0.693079i
\(697\) −5.54579 + 24.2977i −0.210062 + 0.920341i
\(698\) −3.09790 + 41.3386i −0.117257 + 1.56469i
\(699\) 9.86718 + 20.6931i 0.373211 + 0.782685i
\(700\) 1.13192 2.63249i 0.0427824 0.0994986i
\(701\) −4.19537 18.3811i −0.158457 0.694244i −0.990267 0.139184i \(-0.955552\pi\)
0.831810 0.555061i \(-0.187305\pi\)
\(702\) −31.1040 + 1.96947i −1.17394 + 0.0743327i
\(703\) −0.156811 + 2.09250i −0.00591424 + 0.0789201i
\(704\) 18.3779 + 31.8314i 0.692642 + 1.19969i
\(705\) 43.0121 + 17.0727i 1.61993 + 0.642993i
\(706\) −38.0978 25.9746i −1.43383 0.977568i
\(707\) 6.83092 5.94200i 0.256903 0.223472i
\(708\) 0.556569 1.77996i 0.0209172 0.0668950i
\(709\) 0.451735 + 0.217544i 0.0169652 + 0.00817003i 0.442347 0.896844i \(-0.354146\pi\)
−0.425382 + 0.905014i \(0.639860\pi\)
\(710\) 39.7952 + 12.2752i 1.49349 + 0.460679i
\(711\) 3.97384 + 7.00711i 0.149031 + 0.262787i
\(712\) 0.617955 + 8.24603i 0.0231588 + 0.309033i
\(713\) 5.85851 3.99426i 0.219403 0.149586i
\(714\) 32.1628 1.25057i 1.20366 0.0468016i
\(715\) −64.8975 44.2464i −2.42703 1.65472i
\(716\) 0.264691 0.458458i 0.00989196 0.0171334i
\(717\) −25.8705 + 20.4684i −0.966152 + 0.764406i
\(718\) 18.2965 + 12.4744i 0.682821 + 0.465539i
\(719\) −10.5750 + 26.9447i −0.394382 + 1.00487i 0.586446 + 0.809989i \(0.300527\pi\)
−0.980827 + 0.194879i \(0.937569\pi\)
\(720\) −49.0784 0.378418i −1.82905 0.0141028i
\(721\) −39.2840 13.5120i −1.46301 0.503213i
\(722\) 5.13776 + 4.76714i 0.191207 + 0.177415i
\(723\) 13.9416 28.6669i 0.518495 1.06613i
\(724\) 0.0327000 0.143268i 0.00121529 0.00532451i
\(725\) 25.4342 + 31.8934i 0.944602 + 1.18449i
\(726\) 4.93037 31.8765i 0.182983 1.18305i
\(727\) −5.11930 13.0438i −0.189864 0.483766i 0.803966 0.594675i \(-0.202719\pi\)
−0.993831 + 0.110909i \(0.964624\pi\)
\(728\) −14.1808 26.4895i −0.525577 0.981765i
\(729\) −26.9928 0.624480i −0.999732 0.0231289i
\(730\) −19.9058 3.00032i −0.736747 0.111047i
\(731\) −0.313162 4.17886i −0.0115827 0.154561i
\(732\) −0.220870 0.128657i −0.00816357 0.00475530i
\(733\) 15.8318 + 14.6898i 0.584761 + 0.542579i 0.916109 0.400929i \(-0.131313\pi\)
−0.331348 + 0.943509i \(0.607503\pi\)
\(734\) 4.12427 + 7.14344i 0.152229 + 0.263669i
\(735\) 47.2053 0.320121i 1.74119 0.0118079i
\(736\) −0.815852 + 1.41310i −0.0300727 + 0.0520874i
\(737\) 24.1591 7.45209i 0.889911 0.274501i
\(738\) −22.1993 + 3.17115i −0.817166 + 0.116732i
\(739\) 29.9128 20.3942i 1.10036 0.750213i 0.129912 0.991525i \(-0.458530\pi\)
0.970447 + 0.241313i \(0.0775780\pi\)
\(740\) −0.144256 + 0.180891i −0.00530296 + 0.00664970i
\(741\) 7.84278 + 25.7781i 0.288112 + 0.946982i
\(742\) −51.4112 17.6832i −1.88737 0.649172i
\(743\) −13.3610 2.01385i −0.490168 0.0738809i −0.100692 0.994918i \(-0.532106\pi\)
−0.389476 + 0.921037i \(0.627344\pi\)
\(744\) −11.6167 + 4.50760i −0.425887 + 0.165257i
\(745\) 30.0273 76.5083i 1.10012 2.80305i
\(746\) −15.6489 14.5200i −0.572946 0.531616i
\(747\) −10.9099 49.5575i −0.399171 1.81321i
\(748\) −0.560408 + 2.45531i −0.0204905 + 0.0897750i
\(749\) −0.556501 13.0193i −0.0203341 0.475717i
\(750\) 47.0807 18.2687i 1.71915 0.667078i
\(751\) 19.8313 2.98908i 0.723653 0.109073i 0.223120 0.974791i \(-0.428376\pi\)
0.500532 + 0.865718i \(0.333138\pi\)
\(752\) −25.9782 + 12.5104i −0.947326 + 0.456208i
\(753\) 1.59951 + 10.8970i 0.0582895 + 0.397107i
\(754\) −24.0836 −0.877071
\(755\) 50.5463 24.3418i 1.83957 0.885890i
\(756\) 0.577677 + 1.34695i 0.0210099 + 0.0489880i
\(757\) 10.1428 + 4.88453i 0.368647 + 0.177531i 0.609030 0.793147i \(-0.291559\pi\)
−0.240383 + 0.970678i \(0.577273\pi\)
\(758\) 3.63253 + 1.74934i 0.131940 + 0.0635387i
\(759\) −21.3507 + 8.28467i −0.774980 + 0.300714i
\(760\) 8.96288 + 39.2689i 0.325118 + 1.42443i
\(761\) 24.8348 16.9321i 0.900260 0.613787i −0.0222529 0.999752i \(-0.507084\pi\)
0.922513 + 0.385965i \(0.126132\pi\)
\(762\) −4.01398 + 12.8371i −0.145411 + 0.465039i
\(763\) 23.8242 2.81273i 0.862494 0.101828i
\(764\) 1.60797 0.774356i 0.0581742 0.0280152i
\(765\) 41.1384 + 38.7654i 1.48736 + 1.40157i
\(766\) −19.7443 + 34.1982i −0.713391 + 1.23563i
\(767\) 34.4857 + 23.5120i 1.24521 + 0.848968i
\(768\) 3.01827 3.22788i 0.108913 0.116476i
\(769\) −4.12204 + 3.82469i −0.148645 + 0.137922i −0.750990 0.660313i \(-0.770423\pi\)
0.602346 + 0.798235i \(0.294233\pi\)
\(770\) −18.5155 + 70.6005i −0.667252 + 2.54426i