Properties

Label 144.2.x.e.13.9
Level $144$
Weight $2$
Character 144.13
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 13.9
Character \(\chi\) \(=\) 144.13
Dual form 144.2.x.e.133.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.282685 + 1.38567i) q^{2} +(0.944122 + 1.45211i) q^{3} +(-1.84018 + 0.783419i) q^{4} +(0.131764 + 0.491749i) q^{5} +(-1.74526 + 1.71874i) q^{6} +(2.40518 - 1.38863i) q^{7} +(-1.60575 - 2.32842i) q^{8} +(-1.21727 + 2.74194i) q^{9} +O(q^{10})\) \(q+(0.282685 + 1.38567i) q^{2} +(0.944122 + 1.45211i) q^{3} +(-1.84018 + 0.783419i) q^{4} +(0.131764 + 0.491749i) q^{5} +(-1.74526 + 1.71874i) q^{6} +(2.40518 - 1.38863i) q^{7} +(-1.60575 - 2.32842i) q^{8} +(-1.21727 + 2.74194i) q^{9} +(-0.644156 + 0.321592i) q^{10} +(-3.96934 - 1.06358i) q^{11} +(-2.87497 - 1.93250i) q^{12} +(2.22553 - 0.596329i) q^{13} +(2.60410 + 2.94024i) q^{14} +(-0.589675 + 0.655607i) q^{15} +(2.77251 - 2.88326i) q^{16} +2.87908 q^{17} +(-4.14354 - 0.911627i) q^{18} +(-3.48018 - 3.48018i) q^{19} +(-0.627715 - 0.801680i) q^{20} +(4.28723 + 2.18156i) q^{21} +(0.351701 - 5.80086i) q^{22} +(3.85945 + 2.22826i) q^{23} +(1.86511 - 4.53005i) q^{24} +(4.10567 - 2.37041i) q^{25} +(1.45544 + 2.91528i) q^{26} +(-5.13086 + 0.821118i) q^{27} +(-3.33808 + 4.43959i) q^{28} +(-1.57657 + 5.88383i) q^{29} +(-1.07515 - 0.631766i) q^{30} +(-1.28296 + 2.22216i) q^{31} +(4.77900 + 3.02673i) q^{32} +(-2.20310 - 6.76808i) q^{33} +(0.813873 + 3.98946i) q^{34} +(0.999773 + 0.999773i) q^{35} +(0.0918981 - 5.99930i) q^{36} +(7.64112 - 7.64112i) q^{37} +(3.83860 - 5.80619i) q^{38} +(2.96711 + 2.66872i) q^{39} +(0.933420 - 1.09643i) q^{40} +(-4.84731 - 2.79860i) q^{41} +(-1.81098 + 6.55739i) q^{42} +(-3.40160 - 0.911456i) q^{43} +(8.13752 - 1.15248i) q^{44} +(-1.50874 - 0.237302i) q^{45} +(-1.99662 + 5.97783i) q^{46} +(-4.94233 - 8.56037i) q^{47} +(6.80441 + 1.30385i) q^{48} +(0.356586 - 0.617625i) q^{49} +(4.44523 + 5.01904i) q^{50} +(2.71820 + 4.18075i) q^{51} +(-3.62820 + 2.84087i) q^{52} +(-2.86564 + 2.86564i) q^{53} +(-2.58822 - 6.87758i) q^{54} -2.09206i q^{55} +(-7.09544 - 3.37047i) q^{56} +(1.76790 - 8.33934i) q^{57} +(-8.59873 - 0.521333i) q^{58} +(-0.577838 - 2.15652i) q^{59} +(0.571491 - 1.66840i) q^{60} +(-1.28538 + 4.79709i) q^{61} +(-3.44186 - 1.14960i) q^{62} +(0.879800 + 8.28520i) q^{63} +(-2.84311 + 7.47775i) q^{64} +(0.586489 + 1.01583i) q^{65} +(8.75556 - 4.96601i) q^{66} +(-14.7908 + 3.96319i) q^{67} +(-5.29801 + 2.25552i) q^{68} +(0.408113 + 7.70811i) q^{69} +(-1.10274 + 1.66798i) q^{70} -13.2447i q^{71} +(8.33904 - 1.56857i) q^{72} +11.3768i q^{73} +(12.7481 + 8.42806i) q^{74} +(7.31836 + 3.72395i) q^{75} +(9.13060 + 3.67772i) q^{76} +(-11.0239 + 2.95384i) q^{77} +(-2.85921 + 4.86585i) q^{78} +(-1.56750 - 2.71499i) q^{79} +(1.78316 + 0.983470i) q^{80} +(-6.03652 - 6.67536i) q^{81} +(2.50768 - 7.50791i) q^{82} +(-2.95510 + 11.0286i) q^{83} +(-9.59834 - 0.655753i) q^{84} +(0.379358 + 1.41578i) q^{85} +(0.301397 - 4.97116i) q^{86} +(-10.0325 + 3.26570i) q^{87} +(3.89731 + 10.9501i) q^{88} -2.37475i q^{89} +(-0.0976768 - 2.15770i) q^{90} +(4.52472 - 4.52472i) q^{91} +(-8.84774 - 1.07682i) q^{92} +(-4.43810 + 0.234979i) q^{93} +(10.4648 - 9.26835i) q^{94} +(1.25282 - 2.16994i) q^{95} +(0.116799 + 9.79726i) q^{96} +(-5.04313 - 8.73496i) q^{97} +(0.956628 + 0.319518i) q^{98} +(7.74803 - 9.58904i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} + O(q^{10}) \) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} - 20 q^{10} - 2 q^{11} + 8 q^{12} - 16 q^{13} - 4 q^{14} - 20 q^{15} - 10 q^{16} - 16 q^{17} + 28 q^{19} + 12 q^{20} - 16 q^{21} - 8 q^{22} - 40 q^{24} - 4 q^{26} + 8 q^{27} - 16 q^{28} + 4 q^{29} + 18 q^{30} + 28 q^{31} - 46 q^{32} - 32 q^{33} - 14 q^{34} - 16 q^{35} + 14 q^{36} + 16 q^{37} + 2 q^{38} - 10 q^{40} + 26 q^{42} - 10 q^{43} + 60 q^{44} + 40 q^{45} + 20 q^{46} - 56 q^{47} + 2 q^{48} + 4 q^{49} - 36 q^{50} - 54 q^{51} + 6 q^{52} - 8 q^{53} + 92 q^{54} + 52 q^{56} - 14 q^{58} - 14 q^{59} + 18 q^{60} - 32 q^{61} + 16 q^{62} - 108 q^{63} - 44 q^{64} - 64 q^{65} + 26 q^{66} - 18 q^{67} + 16 q^{68} + 32 q^{69} + 14 q^{70} + 114 q^{72} + 38 q^{74} + 86 q^{75} + 10 q^{76} - 36 q^{77} + 16 q^{78} + 44 q^{79} + 144 q^{80} - 44 q^{81} - 88 q^{82} + 20 q^{83} - 58 q^{84} - 8 q^{85} + 76 q^{86} - 42 q^{88} - 80 q^{91} - 68 q^{92} - 4 q^{93} + 20 q^{94} + 48 q^{95} + 94 q^{96} + 40 q^{97} + 88 q^{98} + 28 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.282685 + 1.38567i 0.199889 + 0.979819i
\(3\) 0.944122 + 1.45211i 0.545089 + 0.838378i
\(4\) −1.84018 + 0.783419i −0.920089 + 0.391710i
\(5\) 0.131764 + 0.491749i 0.0589266 + 0.219917i 0.989110 0.147178i \(-0.0470190\pi\)
−0.930183 + 0.367095i \(0.880352\pi\)
\(6\) −1.74526 + 1.71874i −0.712501 + 0.701671i
\(7\) 2.40518 1.38863i 0.909072 0.524853i 0.0289393 0.999581i \(-0.490787\pi\)
0.880132 + 0.474728i \(0.157454\pi\)
\(8\) −1.60575 2.32842i −0.567720 0.823222i
\(9\) −1.21727 + 2.74194i −0.405756 + 0.913981i
\(10\) −0.644156 + 0.321592i −0.203700 + 0.101696i
\(11\) −3.96934 1.06358i −1.19680 0.320682i −0.395230 0.918582i \(-0.629335\pi\)
−0.801570 + 0.597900i \(0.796002\pi\)
\(12\) −2.87497 1.93250i −0.829931 0.557866i
\(13\) 2.22553 0.596329i 0.617251 0.165392i 0.0633733 0.997990i \(-0.479814\pi\)
0.553878 + 0.832598i \(0.313147\pi\)
\(14\) 2.60410 + 2.94024i 0.695974 + 0.785813i
\(15\) −0.589675 + 0.655607i −0.152253 + 0.169277i
\(16\) 2.77251 2.88326i 0.693127 0.720815i
\(17\) 2.87908 0.698279 0.349139 0.937071i \(-0.386474\pi\)
0.349139 + 0.937071i \(0.386474\pi\)
\(18\) −4.14354 0.911627i −0.976642 0.214873i
\(19\) −3.48018 3.48018i −0.798409 0.798409i 0.184436 0.982845i \(-0.440954\pi\)
−0.982845 + 0.184436i \(0.940954\pi\)
\(20\) −0.627715 0.801680i −0.140361 0.179261i
\(21\) 4.28723 + 2.18156i 0.935550 + 0.476054i
\(22\) 0.351701 5.80086i 0.0749829 1.23675i
\(23\) 3.85945 + 2.22826i 0.804752 + 0.464624i 0.845130 0.534561i \(-0.179523\pi\)
−0.0403783 + 0.999184i \(0.512856\pi\)
\(24\) 1.86511 4.53005i 0.380714 0.924693i
\(25\) 4.10567 2.37041i 0.821134 0.474082i
\(26\) 1.45544 + 2.91528i 0.285436 + 0.571734i
\(27\) −5.13086 + 0.821118i −0.987435 + 0.158024i
\(28\) −3.33808 + 4.43959i −0.630837 + 0.839003i
\(29\) −1.57657 + 5.88383i −0.292761 + 1.09260i 0.650218 + 0.759748i \(0.274677\pi\)
−0.942979 + 0.332852i \(0.891989\pi\)
\(30\) −1.07515 0.631766i −0.196295 0.115344i
\(31\) −1.28296 + 2.22216i −0.230427 + 0.399112i −0.957934 0.286989i \(-0.907346\pi\)
0.727507 + 0.686101i \(0.240679\pi\)
\(32\) 4.77900 + 3.02673i 0.844816 + 0.535056i
\(33\) −2.20310 6.76808i −0.383510 1.17817i
\(34\) 0.813873 + 3.98946i 0.139578 + 0.684186i
\(35\) 0.999773 + 0.999773i 0.168993 + 0.168993i
\(36\) 0.0918981 5.99930i 0.0153164 0.999883i
\(37\) 7.64112 7.64112i 1.25619 1.25619i 0.303297 0.952896i \(-0.401913\pi\)
0.952896 0.303297i \(-0.0980873\pi\)
\(38\) 3.83860 5.80619i 0.622703 0.941889i
\(39\) 2.96711 + 2.66872i 0.475118 + 0.427337i
\(40\) 0.933420 1.09643i 0.147587 0.173361i
\(41\) −4.84731 2.79860i −0.757023 0.437067i 0.0712028 0.997462i \(-0.477316\pi\)
−0.828226 + 0.560394i \(0.810650\pi\)
\(42\) −1.81098 + 6.55739i −0.279441 + 1.01183i
\(43\) −3.40160 0.911456i −0.518739 0.138996i −0.0100559 0.999949i \(-0.503201\pi\)
−0.508683 + 0.860954i \(0.669868\pi\)
\(44\) 8.13752 1.15248i 1.22678 0.173742i
\(45\) −1.50874 0.237302i −0.224910 0.0353748i
\(46\) −1.99662 + 5.97783i −0.294386 + 0.881384i
\(47\) −4.94233 8.56037i −0.720913 1.24866i −0.960634 0.277817i \(-0.910389\pi\)
0.239721 0.970842i \(-0.422944\pi\)
\(48\) 6.80441 + 1.30385i 0.982132 + 0.188194i
\(49\) 0.356586 0.617625i 0.0509409 0.0882322i
\(50\) 4.44523 + 5.01904i 0.628650 + 0.709799i
\(51\) 2.71820 + 4.18075i 0.380624 + 0.585422i
\(52\) −3.62820 + 2.84087i −0.503140 + 0.393958i
\(53\) −2.86564 + 2.86564i −0.393626 + 0.393626i −0.875978 0.482352i \(-0.839783\pi\)
0.482352 + 0.875978i \(0.339783\pi\)
\(54\) −2.58822 6.87758i −0.352212 0.935920i
\(55\) 2.09206i 0.282093i
\(56\) −7.09544 3.37047i −0.948168 0.450398i
\(57\) 1.76790 8.33934i 0.234165 1.10457i
\(58\) −8.59873 0.521333i −1.12907 0.0684544i
\(59\) −0.577838 2.15652i −0.0752281 0.280755i 0.918057 0.396449i \(-0.129758\pi\)
−0.993285 + 0.115694i \(0.963091\pi\)
\(60\) 0.571491 1.66840i 0.0737792 0.215389i
\(61\) −1.28538 + 4.79709i −0.164575 + 0.614204i 0.833519 + 0.552491i \(0.186323\pi\)
−0.998094 + 0.0617124i \(0.980344\pi\)
\(62\) −3.44186 1.14960i −0.437117 0.145999i
\(63\) 0.879800 + 8.28520i 0.110844 + 1.04384i
\(64\) −2.84311 + 7.47775i −0.355389 + 0.934719i
\(65\) 0.586489 + 1.01583i 0.0727450 + 0.125998i
\(66\) 8.75556 4.96601i 1.07774 0.611274i
\(67\) −14.7908 + 3.96319i −1.80699 + 0.484181i −0.995034 0.0995397i \(-0.968263\pi\)
−0.811955 + 0.583721i \(0.801596\pi\)
\(68\) −5.29801 + 2.25552i −0.642478 + 0.273522i
\(69\) 0.408113 + 7.70811i 0.0491310 + 0.927947i
\(70\) −1.10274 + 1.66798i −0.131802 + 0.199362i
\(71\) 13.2447i 1.57186i −0.618317 0.785929i \(-0.712185\pi\)
0.618317 0.785929i \(-0.287815\pi\)
\(72\) 8.33904 1.56857i 0.982765 0.184858i
\(73\) 11.3768i 1.33155i 0.746152 + 0.665776i \(0.231899\pi\)
−0.746152 + 0.665776i \(0.768101\pi\)
\(74\) 12.7481 + 8.42806i 1.48194 + 0.979742i
\(75\) 7.31836 + 3.72395i 0.845051 + 0.430004i
\(76\) 9.13060 + 3.67772i 1.04735 + 0.421863i
\(77\) −11.0239 + 2.95384i −1.25629 + 0.336621i
\(78\) −2.85921 + 4.86585i −0.323742 + 0.550949i
\(79\) −1.56750 2.71499i −0.176358 0.305460i 0.764273 0.644893i \(-0.223098\pi\)
−0.940630 + 0.339433i \(0.889765\pi\)
\(80\) 1.78316 + 0.983470i 0.199363 + 0.109955i
\(81\) −6.03652 6.67536i −0.670724 0.741707i
\(82\) 2.50768 7.50791i 0.276926 0.829110i
\(83\) −2.95510 + 11.0286i −0.324365 + 1.21055i 0.590584 + 0.806976i \(0.298897\pi\)
−0.914949 + 0.403569i \(0.867769\pi\)
\(84\) −9.59834 0.655753i −1.04726 0.0715485i
\(85\) 0.379358 + 1.41578i 0.0411472 + 0.153563i
\(86\) 0.301397 4.97116i 0.0325005 0.536054i
\(87\) −10.0325 + 3.26570i −1.07559 + 0.350119i
\(88\) 3.89731 + 10.9501i 0.415455 + 1.16729i
\(89\) 2.37475i 0.251723i −0.992048 0.125862i \(-0.959830\pi\)
0.992048 0.125862i \(-0.0401696\pi\)
\(90\) −0.0976768 2.15770i −0.0102960 0.227442i
\(91\) 4.52472 4.52472i 0.474319 0.474319i
\(92\) −8.84774 1.07682i −0.922441 0.112266i
\(93\) −4.43810 + 0.234979i −0.460210 + 0.0243662i
\(94\) 10.4648 9.26835i 1.07936 0.955957i
\(95\) 1.25282 2.16994i 0.128536 0.222631i
\(96\) 0.116799 + 9.79726i 0.0119208 + 0.999929i
\(97\) −5.04313 8.73496i −0.512052 0.886900i −0.999902 0.0139730i \(-0.995552\pi\)
0.487850 0.872927i \(-0.337781\pi\)
\(98\) 0.956628 + 0.319518i 0.0966340 + 0.0322762i
\(99\) 7.74803 9.58904i 0.778706 0.963735i
\(100\) −5.69814 + 7.57844i −0.569814 + 0.757844i
\(101\) −5.80953 1.55666i −0.578070 0.154893i −0.0420749 0.999114i \(-0.513397\pi\)
−0.535995 + 0.844221i \(0.680063\pi\)
\(102\) −5.02475 + 4.94837i −0.497524 + 0.489962i
\(103\) 11.7431 + 6.77986i 1.15708 + 0.668039i 0.950602 0.310412i \(-0.100467\pi\)
0.206476 + 0.978452i \(0.433800\pi\)
\(104\) −4.96216 4.22442i −0.486580 0.414238i
\(105\) −0.507877 + 2.39569i −0.0495637 + 0.233796i
\(106\) −4.78091 3.16076i −0.464363 0.307001i
\(107\) 2.81971 2.81971i 0.272592 0.272592i −0.557551 0.830143i \(-0.688259\pi\)
0.830143 + 0.557551i \(0.188259\pi\)
\(108\) 8.79842 5.53062i 0.846629 0.532184i
\(109\) 3.20455 + 3.20455i 0.306940 + 0.306940i 0.843721 0.536781i \(-0.180360\pi\)
−0.536781 + 0.843721i \(0.680360\pi\)
\(110\) 2.89891 0.591395i 0.276400 0.0563873i
\(111\) 18.3099 + 3.88163i 1.73790 + 0.368428i
\(112\) 2.66460 10.7847i 0.251781 1.01906i
\(113\) −5.07913 + 8.79731i −0.477804 + 0.827581i −0.999676 0.0254424i \(-0.991901\pi\)
0.521872 + 0.853024i \(0.325234\pi\)
\(114\) 12.0554 + 0.0923275i 1.12909 + 0.00864726i
\(115\) −0.587207 + 2.19149i −0.0547573 + 0.204357i
\(116\) −1.70834 12.0624i −0.158615 1.11997i
\(117\) −1.07397 + 6.82817i −0.0992882 + 0.631265i
\(118\) 2.82489 1.41031i 0.260052 0.129830i
\(119\) 6.92469 3.99797i 0.634785 0.366493i
\(120\) 2.47340 + 0.320268i 0.225790 + 0.0292364i
\(121\) 5.09817 + 2.94343i 0.463470 + 0.267584i
\(122\) −7.01055 0.425043i −0.634705 0.0384816i
\(123\) −0.512573 9.68107i −0.0462171 0.872912i
\(124\) 0.620001 5.09427i 0.0556777 0.457479i
\(125\) 3.50655 + 3.50655i 0.313636 + 0.313636i
\(126\) −11.2319 + 3.56122i −1.00061 + 0.317259i
\(127\) 7.32268 0.649783 0.324892 0.945751i \(-0.394672\pi\)
0.324892 + 0.945751i \(0.394672\pi\)
\(128\) −11.1654 1.82577i −0.986893 0.161377i
\(129\) −1.88799 5.80004i −0.166228 0.510665i
\(130\) −1.24181 + 1.09984i −0.108914 + 0.0964625i
\(131\) 19.8292 5.31322i 1.73249 0.464218i 0.751733 0.659468i \(-0.229218\pi\)
0.980754 + 0.195250i \(0.0625517\pi\)
\(132\) 9.35634 + 10.7285i 0.814365 + 0.933798i
\(133\) −13.2031 3.53777i −1.14486 0.306764i
\(134\) −9.67284 19.3749i −0.835606 1.67374i
\(135\) −1.07985 2.41490i −0.0929384 0.207842i
\(136\) −4.62309 6.70371i −0.396427 0.574838i
\(137\) 10.0888 5.82479i 0.861947 0.497646i −0.00271649 0.999996i \(-0.500865\pi\)
0.864664 + 0.502351i \(0.167531\pi\)
\(138\) −10.5656 + 2.74448i −0.899399 + 0.233626i
\(139\) 3.09248 + 11.5413i 0.262300 + 0.978918i 0.963882 + 0.266329i \(0.0858109\pi\)
−0.701582 + 0.712589i \(0.747522\pi\)
\(140\) −2.62300 1.05652i −0.221684 0.0892922i
\(141\) 7.76447 15.2589i 0.653886 1.28503i
\(142\) 18.3528 3.74409i 1.54013 0.314197i
\(143\) −9.46813 −0.791765
\(144\) 4.53085 + 11.1118i 0.377571 + 0.925981i
\(145\) −3.10110 −0.257533
\(146\) −15.7645 + 3.21605i −1.30468 + 0.266162i
\(147\) 1.23352 0.0653099i 0.101739 0.00538667i
\(148\) −8.07482 + 20.0472i −0.663746 + 1.64787i
\(149\) −0.270654 1.01009i −0.0221728 0.0827502i 0.953953 0.299957i \(-0.0969722\pi\)
−0.976126 + 0.217206i \(0.930306\pi\)
\(150\) −3.09138 + 11.1936i −0.252410 + 0.913950i
\(151\) −11.0495 + 6.37943i −0.899195 + 0.519150i −0.876939 0.480602i \(-0.840418\pi\)
−0.0222559 + 0.999752i \(0.507085\pi\)
\(152\) −2.51502 + 13.6917i −0.203995 + 1.11054i
\(153\) −3.50461 + 7.89427i −0.283331 + 0.638214i
\(154\) −7.20935 14.4405i −0.580946 1.16365i
\(155\) −1.26179 0.338097i −0.101350 0.0271566i
\(156\) −7.55073 2.58642i −0.604542 0.207079i
\(157\) 11.0299 2.95544i 0.880279 0.235870i 0.209751 0.977755i \(-0.432735\pi\)
0.670527 + 0.741885i \(0.266068\pi\)
\(158\) 3.31898 2.93953i 0.264044 0.233857i
\(159\) −6.86675 1.45572i −0.544569 0.115446i
\(160\) −0.858695 + 2.74889i −0.0678858 + 0.217319i
\(161\) 12.3769 0.975436
\(162\) 7.54343 10.2517i 0.592668 0.805447i
\(163\) −4.61842 4.61842i −0.361742 0.361742i 0.502712 0.864454i \(-0.332336\pi\)
−0.864454 + 0.502712i \(0.832336\pi\)
\(164\) 11.1124 + 1.35244i 0.867732 + 0.105608i
\(165\) 3.03791 1.97516i 0.236501 0.153766i
\(166\) −16.1174 0.977182i −1.25095 0.0758441i
\(167\) 6.85336 + 3.95679i 0.530329 + 0.306186i 0.741150 0.671339i \(-0.234280\pi\)
−0.210821 + 0.977525i \(0.567614\pi\)
\(168\) −1.80465 13.4855i −0.139232 1.04043i
\(169\) −6.66095 + 3.84570i −0.512381 + 0.295823i
\(170\) −1.85457 + 0.925888i −0.142239 + 0.0710123i
\(171\) 13.7788 5.30615i 1.05369 0.405772i
\(172\) 6.97360 0.987637i 0.531732 0.0753066i
\(173\) 5.60729 20.9267i 0.426315 1.59103i −0.334721 0.942317i \(-0.608642\pi\)
0.761035 0.648711i \(-0.224691\pi\)
\(174\) −7.36121 12.9785i −0.558052 0.983900i
\(175\) 6.58325 11.4025i 0.497647 0.861949i
\(176\) −14.0716 + 8.49585i −1.06069 + 0.640399i
\(177\) 2.58596 2.87511i 0.194373 0.216106i
\(178\) 3.29063 0.671309i 0.246643 0.0503167i
\(179\) 4.24438 + 4.24438i 0.317240 + 0.317240i 0.847706 0.530466i \(-0.177983\pi\)
−0.530466 + 0.847706i \(0.677983\pi\)
\(180\) 2.96226 0.745299i 0.220794 0.0555513i
\(181\) 10.0752 10.0752i 0.748886 0.748886i −0.225384 0.974270i \(-0.572364\pi\)
0.974270 + 0.225384i \(0.0723638\pi\)
\(182\) 7.54885 + 4.99070i 0.559558 + 0.369936i
\(183\) −8.17946 + 2.66252i −0.604643 + 0.196819i
\(184\) −1.00901 12.5645i −0.0743851 0.926265i
\(185\) 4.76434 + 2.75069i 0.350281 + 0.202235i
\(186\) −1.58019 6.08333i −0.115865 0.446052i
\(187\) −11.4280 3.06213i −0.835700 0.223925i
\(188\) 15.8011 + 11.8807i 1.15242 + 0.866488i
\(189\) −11.2004 + 9.09981i −0.814710 + 0.661914i
\(190\) 3.36098 + 1.12258i 0.243831 + 0.0814407i
\(191\) 5.46820 + 9.47119i 0.395665 + 0.685312i 0.993186 0.116542i \(-0.0371809\pi\)
−0.597521 + 0.801853i \(0.703848\pi\)
\(192\) −13.5428 + 2.93139i −0.977366 + 0.211555i
\(193\) −9.82326 + 17.0144i −0.707094 + 1.22472i 0.258837 + 0.965921i \(0.416661\pi\)
−0.965931 + 0.258801i \(0.916673\pi\)
\(194\) 10.6782 9.45737i 0.766648 0.679000i
\(195\) −0.921381 + 1.81071i −0.0659815 + 0.129668i
\(196\) −0.172322 + 1.41590i −0.0123087 + 0.101135i
\(197\) −17.9489 + 17.9489i −1.27881 + 1.27881i −0.337472 + 0.941336i \(0.609572\pi\)
−0.941336 + 0.337472i \(0.890428\pi\)
\(198\) 15.4775 + 8.02555i 1.09994 + 0.570351i
\(199\) 10.7912i 0.764966i 0.923963 + 0.382483i \(0.124931\pi\)
−0.923963 + 0.382483i \(0.875069\pi\)
\(200\) −12.1120 5.75344i −0.856449 0.406830i
\(201\) −19.7194 17.7362i −1.39090 1.25102i
\(202\) 0.514750 8.49016i 0.0362177 0.597365i
\(203\) 4.37854 + 16.3409i 0.307313 + 1.14691i
\(204\) −8.27724 5.56383i −0.579523 0.389546i
\(205\) 0.737508 2.75242i 0.0515098 0.192237i
\(206\) −6.07507 + 18.1886i −0.423270 + 1.26726i
\(207\) −10.8077 + 7.87002i −0.751190 + 0.547004i
\(208\) 4.45093 8.07011i 0.308617 0.559562i
\(209\) 10.1126 + 17.5155i 0.699501 + 1.21157i
\(210\) −3.46321 0.0265235i −0.238984 0.00183029i
\(211\) −8.54571 + 2.28982i −0.588311 + 0.157637i −0.540681 0.841228i \(-0.681833\pi\)
−0.0476299 + 0.998865i \(0.515167\pi\)
\(212\) 3.02829 7.51828i 0.207984 0.516358i
\(213\) 19.2328 12.5046i 1.31781 0.856802i
\(214\) 4.70429 + 3.11011i 0.321579 + 0.212603i
\(215\) 1.79283i 0.122270i
\(216\) 10.1508 + 10.6283i 0.690676 + 0.723165i
\(217\) 7.12625i 0.483762i
\(218\) −3.53457 + 5.34633i −0.239392 + 0.362099i
\(219\) −16.5204 + 10.7411i −1.11634 + 0.725814i
\(220\) 1.63896 + 3.84976i 0.110499 + 0.259551i
\(221\) 6.40747 1.71688i 0.431013 0.115490i
\(222\) −0.202715 + 26.4688i −0.0136053 + 1.77647i
\(223\) 7.53363 + 13.0486i 0.504489 + 0.873800i 0.999987 + 0.00519105i \(0.00165237\pi\)
−0.495498 + 0.868609i \(0.665014\pi\)
\(224\) 15.6974 + 0.643567i 1.04882 + 0.0430001i
\(225\) 1.50183 + 14.1429i 0.100122 + 0.942863i
\(226\) −13.6260 4.55114i −0.906387 0.302737i
\(227\) −1.59360 + 5.94741i −0.105771 + 0.394743i −0.998432 0.0559866i \(-0.982170\pi\)
0.892660 + 0.450730i \(0.148836\pi\)
\(228\) 3.27994 + 16.7309i 0.217219 + 1.10803i
\(229\) −1.08100 4.03435i −0.0714345 0.266597i 0.920967 0.389641i \(-0.127401\pi\)
−0.992401 + 0.123044i \(0.960734\pi\)
\(230\) −3.20268 0.194176i −0.211178 0.0128036i
\(231\) −14.6972 13.2191i −0.967005 0.869756i
\(232\) 16.2316 5.77706i 1.06566 0.379283i
\(233\) 1.71937i 0.112640i 0.998413 + 0.0563200i \(0.0179367\pi\)
−0.998413 + 0.0563200i \(0.982063\pi\)
\(234\) −9.76521 + 0.442060i −0.638372 + 0.0288984i
\(235\) 3.55834 3.55834i 0.232120 0.232120i
\(236\) 2.75278 + 3.51569i 0.179191 + 0.228852i
\(237\) 2.46256 4.83947i 0.159961 0.314357i
\(238\) 7.49739 + 8.46519i 0.485984 + 0.548716i
\(239\) 4.99586 8.65308i 0.323155 0.559721i −0.657982 0.753034i \(-0.728590\pi\)
0.981137 + 0.193312i \(0.0619231\pi\)
\(240\) 0.255408 + 3.51786i 0.0164865 + 0.227077i
\(241\) 10.9017 + 18.8822i 0.702238 + 1.21631i 0.967679 + 0.252184i \(0.0811489\pi\)
−0.265442 + 0.964127i \(0.585518\pi\)
\(242\) −2.63745 + 7.89645i −0.169542 + 0.507603i
\(243\) 3.99418 15.0681i 0.256226 0.966617i
\(244\) −1.39281 9.83448i −0.0891655 0.629588i
\(245\) 0.350702 + 0.0939703i 0.0224055 + 0.00600354i
\(246\) 13.2699 3.44695i 0.846057 0.219770i
\(247\) −9.82059 5.66992i −0.624869 0.360768i
\(248\) 7.23425 0.580957i 0.459376 0.0368908i
\(249\) −18.8047 + 6.12119i −1.19170 + 0.387915i
\(250\) −3.86768 + 5.85019i −0.244614 + 0.369998i
\(251\) 0.351987 0.351987i 0.0222172 0.0222172i −0.695911 0.718128i \(-0.744999\pi\)
0.718128 + 0.695911i \(0.244999\pi\)
\(252\) −8.10977 14.5570i −0.510868 0.917004i
\(253\) −12.9495 12.9495i −0.814131 0.814131i
\(254\) 2.07002 + 10.1468i 0.129884 + 0.636670i
\(255\) −1.69772 + 1.88754i −0.106315 + 0.118203i
\(256\) −0.626384 15.9877i −0.0391490 0.999233i
\(257\) 5.69516 9.86431i 0.355254 0.615319i −0.631907 0.775044i \(-0.717728\pi\)
0.987161 + 0.159726i \(0.0510609\pi\)
\(258\) 7.50325 4.25572i 0.467132 0.264950i
\(259\) 7.76756 28.9889i 0.482653 1.80129i
\(260\) −1.87506 1.40984i −0.116286 0.0874345i
\(261\) −14.2140 11.4851i −0.879826 0.710907i
\(262\) 12.9678 + 25.9748i 0.801154 + 1.60473i
\(263\) −4.43754 + 2.56201i −0.273630 + 0.157980i −0.630536 0.776160i \(-0.717165\pi\)
0.356906 + 0.934140i \(0.383832\pi\)
\(264\) −12.2213 + 15.9976i −0.752170 + 0.984585i
\(265\) −1.78676 1.03159i −0.109760 0.0633700i
\(266\) 1.16986 19.2953i 0.0717286 1.18307i
\(267\) 3.44841 2.24206i 0.211039 0.137212i
\(268\) 24.1129 18.8804i 1.47293 1.15330i
\(269\) 8.67269 + 8.67269i 0.528784 + 0.528784i 0.920210 0.391426i \(-0.128018\pi\)
−0.391426 + 0.920210i \(0.628018\pi\)
\(270\) 3.04101 2.17897i 0.185070 0.132608i
\(271\) −19.6128 −1.19139 −0.595696 0.803210i \(-0.703124\pi\)
−0.595696 + 0.803210i \(0.703124\pi\)
\(272\) 7.98227 8.30113i 0.483996 0.503330i
\(273\) 10.8423 + 2.29852i 0.656205 + 0.139113i
\(274\) 10.9232 + 12.3332i 0.659896 + 0.745078i
\(275\) −18.8179 + 5.04225i −1.13476 + 0.304059i
\(276\) −6.78968 13.8646i −0.408691 0.834549i
\(277\) −16.2799 4.36219i −0.978165 0.262099i −0.265893 0.964002i \(-0.585667\pi\)
−0.712272 + 0.701904i \(0.752334\pi\)
\(278\) −15.1182 + 7.54771i −0.906732 + 0.452682i
\(279\) −4.53133 6.22278i −0.271283 0.372548i
\(280\) 0.722505 3.93328i 0.0431780 0.235059i
\(281\) 14.0437 8.10816i 0.837780 0.483692i −0.0187292 0.999825i \(-0.505962\pi\)
0.856509 + 0.516132i \(0.172629\pi\)
\(282\) 23.3387 + 6.44555i 1.38980 + 0.383827i
\(283\) 0.242647 + 0.905572i 0.0144239 + 0.0538307i 0.972763 0.231803i \(-0.0744625\pi\)
−0.958339 + 0.285634i \(0.907796\pi\)
\(284\) 10.3762 + 24.3726i 0.615711 + 1.44625i
\(285\) 4.33381 0.229457i 0.256713 0.0135919i
\(286\) −2.67650 13.1197i −0.158265 0.775786i
\(287\) −15.5449 −0.917584
\(288\) −14.1165 + 9.41942i −0.831821 + 0.555044i
\(289\) −8.71092 −0.512407
\(290\) −0.876636 4.29711i −0.0514779 0.252335i
\(291\) 7.92282 15.5701i 0.464444 0.912733i
\(292\) −8.91279 20.9353i −0.521581 1.22515i
\(293\) −2.61732 9.76797i −0.152905 0.570651i −0.999276 0.0380557i \(-0.987884\pi\)
0.846370 0.532595i \(-0.178783\pi\)
\(294\) 0.439197 + 1.69080i 0.0256145 + 0.0986092i
\(295\) 0.984330 0.568303i 0.0573099 0.0330879i
\(296\) −30.0615 5.52200i −1.74729 0.320960i
\(297\) 21.2395 + 2.19779i 1.23244 + 0.127529i
\(298\) 1.32315 0.660577i 0.0766481 0.0382662i
\(299\) 9.91811 + 2.65755i 0.573579 + 0.153690i
\(300\) −16.3845 1.11938i −0.945959 0.0646274i
\(301\) −9.44713 + 2.53135i −0.544524 + 0.145905i
\(302\) −11.9633 13.5076i −0.688412 0.777275i
\(303\) −3.22446 9.90578i −0.185240 0.569072i
\(304\) −19.6831 + 0.385435i −1.12890 + 0.0221062i
\(305\) −2.52833 −0.144772
\(306\) −11.9296 2.62464i −0.681968 0.150041i
\(307\) 16.1653 + 16.1653i 0.922603 + 0.922603i 0.997213 0.0746101i \(-0.0237712\pi\)
−0.0746101 + 0.997213i \(0.523771\pi\)
\(308\) 17.9718 14.0719i 1.02404 0.801822i
\(309\) 1.24175 + 23.4533i 0.0706409 + 1.33421i
\(310\) 0.111801 1.84401i 0.00634984 0.104733i
\(311\) −11.8457 6.83912i −0.671708 0.387811i 0.125015 0.992155i \(-0.460102\pi\)
−0.796724 + 0.604344i \(0.793435\pi\)
\(312\) 1.44945 11.1940i 0.0820591 0.633735i
\(313\) 22.5829 13.0383i 1.27646 0.736966i 0.300266 0.953855i \(-0.402925\pi\)
0.976196 + 0.216890i \(0.0695912\pi\)
\(314\) 7.21326 + 14.4483i 0.407068 + 0.815366i
\(315\) −3.95831 + 1.52433i −0.223026 + 0.0858863i
\(316\) 5.01145 + 3.76806i 0.281916 + 0.211970i
\(317\) 4.00957 14.9639i 0.225200 0.840457i −0.757125 0.653270i \(-0.773396\pi\)
0.982324 0.187187i \(-0.0599369\pi\)
\(318\) 0.0760240 9.92658i 0.00426321 0.556655i
\(319\) 12.5159 21.6781i 0.700753 1.21374i
\(320\) −4.05180 0.412800i −0.226502 0.0230762i
\(321\) 6.75670 + 1.43239i 0.377122 + 0.0799483i
\(322\) 3.49877 + 17.1503i 0.194979 + 0.955750i
\(323\) −10.0197 10.0197i −0.557512 0.557512i
\(324\) 16.3379 + 7.55473i 0.907660 + 0.419707i
\(325\) 7.72375 7.72375i 0.428437 0.428437i
\(326\) 5.09406 7.70518i 0.282134 0.426750i
\(327\) −1.62788 + 7.67885i −0.0900222 + 0.424641i
\(328\) 1.26727 + 15.7805i 0.0699734 + 0.871330i
\(329\) −23.7744 13.7261i −1.31072 0.756747i
\(330\) 3.59570 + 3.65120i 0.197937 + 0.200992i
\(331\) 10.5494 + 2.82670i 0.579847 + 0.155370i 0.536809 0.843704i \(-0.319630\pi\)
0.0430383 + 0.999073i \(0.486296\pi\)
\(332\) −3.20210 22.6097i −0.175738 1.24087i
\(333\) 11.6502 + 30.2528i 0.638429 + 1.65784i
\(334\) −3.54547 + 10.6150i −0.194000 + 0.580829i
\(335\) −3.89779 6.75118i −0.212959 0.368856i
\(336\) 18.1764 6.31282i 0.991603 0.344392i
\(337\) −2.81502 + 4.87577i −0.153344 + 0.265600i −0.932455 0.361287i \(-0.882338\pi\)
0.779111 + 0.626886i \(0.215671\pi\)
\(338\) −7.21184 8.14278i −0.392272 0.442909i
\(339\) −17.5700 + 0.930260i −0.954272 + 0.0505248i
\(340\) −1.80724 2.30810i −0.0980113 0.125174i
\(341\) 7.45597 7.45597i 0.403763 0.403763i
\(342\) 11.2477 + 17.5929i 0.608204 + 0.951316i
\(343\) 17.4602i 0.942760i
\(344\) 3.33988 + 9.38394i 0.180074 + 0.505948i
\(345\) −3.73668 + 1.21634i −0.201176 + 0.0654855i
\(346\) 30.5827 + 1.85420i 1.64413 + 0.0996824i
\(347\) −0.375139 1.40004i −0.0201385 0.0751579i 0.955125 0.296202i \(-0.0957202\pi\)
−0.975264 + 0.221044i \(0.929054\pi\)
\(348\) 15.9031 13.8691i 0.852495 0.743461i
\(349\) −1.08547 + 4.05103i −0.0581039 + 0.216847i −0.988873 0.148760i \(-0.952472\pi\)
0.930769 + 0.365607i \(0.119139\pi\)
\(350\) 17.6611 + 5.89890i 0.944028 + 0.315309i
\(351\) −10.9292 + 4.88711i −0.583360 + 0.260854i
\(352\) −15.7503 17.0970i −0.839494 0.911273i
\(353\) −5.70555 9.88230i −0.303676 0.525982i 0.673290 0.739379i \(-0.264881\pi\)
−0.976966 + 0.213397i \(0.931547\pi\)
\(354\) 4.71497 + 2.77055i 0.250598 + 0.147253i
\(355\) 6.51307 1.74517i 0.345678 0.0926242i
\(356\) 1.86043 + 4.36997i 0.0986025 + 0.231608i
\(357\) 12.3433 + 6.28086i 0.653275 + 0.332419i
\(358\) −4.68149 + 7.08114i −0.247425 + 0.374250i
\(359\) 1.05572i 0.0557189i 0.999612 + 0.0278594i \(0.00886909\pi\)
−0.999612 + 0.0278594i \(0.991131\pi\)
\(360\) 1.87013 + 3.89404i 0.0985644 + 0.205234i
\(361\) 5.22336i 0.274914i
\(362\) 16.8091 + 11.1128i 0.883466 + 0.584078i
\(363\) 0.539099 + 10.1821i 0.0282953 + 0.534420i
\(364\) −4.78153 + 11.8710i −0.250620 + 0.622211i
\(365\) −5.59452 + 1.49905i −0.292831 + 0.0784638i
\(366\) −6.00160 10.5814i −0.313709 0.553099i
\(367\) 4.67503 + 8.09739i 0.244035 + 0.422680i 0.961860 0.273543i \(-0.0881956\pi\)
−0.717825 + 0.696223i \(0.754862\pi\)
\(368\) 17.1250 4.94995i 0.892703 0.258034i
\(369\) 13.5741 9.88442i 0.706638 0.514562i
\(370\) −2.46475 + 7.37940i −0.128136 + 0.383637i
\(371\) −2.91306 + 10.8717i −0.151239 + 0.564430i
\(372\) 7.98281 3.90930i 0.413890 0.202688i
\(373\) −1.55593 5.80682i −0.0805631 0.300666i 0.913874 0.405998i \(-0.133076\pi\)
−0.994437 + 0.105332i \(0.966409\pi\)
\(374\) 1.01257 16.7011i 0.0523590 0.863595i
\(375\) −1.78130 + 8.40253i −0.0919860 + 0.433905i
\(376\) −11.9960 + 25.2537i −0.618646 + 1.30236i
\(377\) 14.0348i 0.722828i
\(378\) −15.7755 12.9477i −0.811407 0.665959i
\(379\) 6.35334 6.35334i 0.326349 0.326349i −0.524847 0.851196i \(-0.675878\pi\)
0.851196 + 0.524847i \(0.175878\pi\)
\(380\) −0.605431 + 4.97456i −0.0310580 + 0.255189i
\(381\) 6.91350 + 10.6334i 0.354190 + 0.544764i
\(382\) −11.5782 + 10.2545i −0.592392 + 0.524666i
\(383\) −10.8961 + 18.8725i −0.556762 + 0.964341i 0.441002 + 0.897506i \(0.354623\pi\)
−0.997764 + 0.0668344i \(0.978710\pi\)
\(384\) −7.89029 17.9372i −0.402650 0.915354i
\(385\) −2.90510 5.03178i −0.148058 0.256443i
\(386\) −26.3533 8.80210i −1.34135 0.448015i
\(387\) 6.63982 8.21751i 0.337521 0.417720i
\(388\) 16.1234 + 12.1230i 0.818541 + 0.615452i
\(389\) 4.88623 + 1.30926i 0.247742 + 0.0663822i 0.380553 0.924759i \(-0.375734\pi\)
−0.132811 + 0.991141i \(0.542400\pi\)
\(390\) −2.76952 0.764871i −0.140240 0.0387307i
\(391\) 11.1117 + 6.41532i 0.561941 + 0.324437i
\(392\) −2.01068 + 0.161471i −0.101555 + 0.00815550i
\(393\) 26.4366 + 23.7779i 1.33355 + 1.19944i
\(394\) −29.9452 19.7974i −1.50862 0.997380i
\(395\) 1.12855 1.12855i 0.0567837 0.0567837i
\(396\) −6.74551 + 23.7155i −0.338975 + 1.19175i
\(397\) 2.11018 + 2.11018i 0.105907 + 0.105907i 0.758075 0.652168i \(-0.226140\pi\)
−0.652168 + 0.758075i \(0.726140\pi\)
\(398\) −14.9530 + 3.05051i −0.749528 + 0.152908i
\(399\) −7.32813 22.5126i −0.366865 1.12704i
\(400\) 4.54850 18.4097i 0.227425 0.920485i
\(401\) 4.22120 7.31133i 0.210797 0.365110i −0.741168 0.671320i \(-0.765728\pi\)
0.951964 + 0.306210i \(0.0990609\pi\)
\(402\) 19.0022 32.3384i 0.947746 1.61289i
\(403\) −1.53014 + 5.71055i −0.0762216 + 0.284463i
\(404\) 11.9101 1.68677i 0.592549 0.0839198i
\(405\) 2.48721 3.84802i 0.123590 0.191210i
\(406\) −21.4054 + 10.6866i −1.06233 + 0.530365i
\(407\) −38.4572 + 22.2032i −1.90625 + 1.10057i
\(408\) 5.36979 13.0424i 0.265844 0.645693i
\(409\) −34.4821 19.9082i −1.70503 0.984399i −0.940490 0.339822i \(-0.889633\pi\)
−0.764539 0.644577i \(-0.777033\pi\)
\(410\) 4.02243 + 0.243876i 0.198654 + 0.0120442i
\(411\) 17.9834 + 9.15082i 0.887053 + 0.451377i
\(412\) −26.9208 3.27641i −1.32629 0.161417i
\(413\) −4.38441 4.38441i −0.215743 0.215743i
\(414\) −13.9605 12.7513i −0.686119 0.626690i
\(415\) −5.81268 −0.285333
\(416\) 12.4407 + 3.88623i 0.609958 + 0.190538i
\(417\) −13.8396 + 15.3870i −0.677727 + 0.753505i
\(418\) −21.4121 + 18.9641i −1.04730 + 0.927564i
\(419\) 6.33148 1.69652i 0.309313 0.0828802i −0.100823 0.994904i \(-0.532148\pi\)
0.410137 + 0.912024i \(0.365481\pi\)
\(420\) −0.942247 4.80638i −0.0459770 0.234527i
\(421\) 32.5236 + 8.71468i 1.58510 + 0.424727i 0.940501 0.339790i \(-0.110356\pi\)
0.644603 + 0.764518i \(0.277023\pi\)
\(422\) −5.58869 11.1943i −0.272053 0.544928i
\(423\) 29.4882 3.13134i 1.43377 0.152251i
\(424\) 11.2739 + 2.07091i 0.547511 + 0.100572i
\(425\) 11.8205 6.82459i 0.573380 0.331041i
\(426\) 22.7641 + 23.1155i 1.10293 + 1.11995i
\(427\) 3.56982 + 13.3228i 0.172756 + 0.644733i
\(428\) −2.97976 + 7.39779i −0.144032 + 0.357586i
\(429\) −8.93907 13.7488i −0.431582 0.663798i
\(430\) 2.48428 0.506807i 0.119803 0.0244404i
\(431\) 19.0914 0.919602 0.459801 0.888022i \(-0.347921\pi\)
0.459801 + 0.888022i \(0.347921\pi\)
\(432\) −11.8579 + 17.0702i −0.570512 + 0.821289i
\(433\) −4.98594 −0.239609 −0.119805 0.992797i \(-0.538227\pi\)
−0.119805 + 0.992797i \(0.538227\pi\)
\(434\) −9.87465 + 2.01449i −0.473999 + 0.0966985i
\(435\) −2.92782 4.50315i −0.140378 0.215910i
\(436\) −8.40744 3.38643i −0.402643 0.162181i
\(437\) −5.67687 21.1863i −0.271561 1.01348i
\(438\) −19.5537 19.8555i −0.934311 0.948732i
\(439\) 11.1893 6.46017i 0.534038 0.308327i −0.208621 0.977997i \(-0.566898\pi\)
0.742659 + 0.669670i \(0.233564\pi\)
\(440\) −4.87120 + 3.35933i −0.232226 + 0.160150i
\(441\) 1.25943 + 1.72955i 0.0599730 + 0.0823597i
\(442\) 4.19033 + 8.39332i 0.199314 + 0.399230i
\(443\) −14.3610 3.84803i −0.682314 0.182825i −0.0990185 0.995086i \(-0.531570\pi\)
−0.583295 + 0.812260i \(0.698237\pi\)
\(444\) −36.7345 + 7.20146i −1.74334 + 0.341766i
\(445\) 1.16778 0.312907i 0.0553583 0.0148332i
\(446\) −15.9515 + 14.1278i −0.755324 + 0.668970i
\(447\) 1.21124 1.34667i 0.0572898 0.0636954i
\(448\) 3.54564 + 21.9333i 0.167516 + 1.03625i
\(449\) −3.60684 −0.170217 −0.0851086 0.996372i \(-0.527124\pi\)
−0.0851086 + 0.996372i \(0.527124\pi\)
\(450\) −19.1730 + 6.07905i −0.903822 + 0.286569i
\(451\) 16.2641 + 16.2641i 0.765846 + 0.765846i
\(452\) 2.45452 20.1677i 0.115451 0.948609i
\(453\) −19.6957 10.0222i −0.925385 0.470882i
\(454\) −8.69165 0.526967i −0.407919 0.0247318i
\(455\) 2.82122 + 1.62883i 0.132261 + 0.0763608i
\(456\) −22.2563 + 9.27450i −1.04225 + 0.434318i
\(457\) 4.13238 2.38583i 0.193304 0.111604i −0.400224 0.916417i \(-0.631068\pi\)
0.593529 + 0.804813i \(0.297734\pi\)
\(458\) 5.28470 2.63836i 0.246938 0.123283i
\(459\) −14.7721 + 2.36406i −0.689505 + 0.110345i
\(460\) −0.636287 4.49276i −0.0296670 0.209476i
\(461\) −6.10228 + 22.7740i −0.284212 + 1.06069i 0.665202 + 0.746664i \(0.268345\pi\)
−0.949413 + 0.314029i \(0.898321\pi\)
\(462\) 14.1627 24.1024i 0.658910 1.12134i
\(463\) 15.9602 27.6439i 0.741735 1.28472i −0.209970 0.977708i \(-0.567337\pi\)
0.951705 0.307014i \(-0.0993299\pi\)
\(464\) 12.5936 + 20.8586i 0.584641 + 0.968337i
\(465\) −0.700332 2.15147i −0.0324771 0.0997721i
\(466\) −2.38249 + 0.486042i −0.110367 + 0.0225155i
\(467\) 7.26104 + 7.26104i 0.336001 + 0.336001i 0.854860 0.518859i \(-0.173643\pi\)
−0.518859 + 0.854860i \(0.673643\pi\)
\(468\) −3.37303 13.4064i −0.155919 0.619712i
\(469\) −30.0712 + 30.0712i −1.38856 + 1.38856i
\(470\) 5.93658 + 3.92480i 0.273834 + 0.181038i
\(471\) 14.7052 + 13.2263i 0.677579 + 0.609436i
\(472\) −4.09343 + 4.80829i −0.188415 + 0.221320i
\(473\) 12.5327 + 7.23576i 0.576254 + 0.332700i
\(474\) 7.40205 + 2.04426i 0.339988 + 0.0938959i
\(475\) −22.5380 6.03903i −1.03411 0.277090i
\(476\) −9.61057 + 12.7819i −0.440500 + 0.585858i
\(477\) −4.36917 11.3457i −0.200051 0.519483i
\(478\) 13.4026 + 4.47653i 0.613020 + 0.204752i
\(479\) 13.4733 + 23.3364i 0.615609 + 1.06627i 0.990277 + 0.139107i \(0.0444231\pi\)
−0.374669 + 0.927159i \(0.622244\pi\)
\(480\) −4.80241 + 1.34836i −0.219199 + 0.0615440i
\(481\) 12.4489 21.5622i 0.567622 0.983151i
\(482\) −23.0828 + 20.4439i −1.05139 + 0.931192i
\(483\) 11.6853 + 17.9727i 0.531699 + 0.817784i
\(484\) −11.6875 1.42243i −0.531249 0.0646559i
\(485\) 3.63091 3.63091i 0.164871 0.164871i
\(486\) 22.0085 + 1.27510i 0.998326 + 0.0578396i
\(487\) 33.3405i 1.51080i −0.655264 0.755400i \(-0.727442\pi\)
0.655264 0.755400i \(-0.272558\pi\)
\(488\) 13.2336 4.71004i 0.599059 0.213214i
\(489\) 2.34612 11.0668i 0.106095 0.500459i
\(490\) −0.0310737 + 0.512522i −0.00140377 + 0.0231534i
\(491\) −6.00659 22.4169i −0.271074 1.01166i −0.958427 0.285338i \(-0.907894\pi\)
0.687353 0.726323i \(-0.258772\pi\)
\(492\) 8.52756 + 17.4133i 0.384452 + 0.785053i
\(493\) −4.53906 + 16.9400i −0.204429 + 0.762939i
\(494\) 5.08052 15.2109i 0.228583 0.684372i
\(495\) 5.73631 + 2.54660i 0.257828 + 0.114461i
\(496\) 2.85004 + 9.86008i 0.127970 + 0.442731i
\(497\) −18.3920 31.8559i −0.824994 1.42893i
\(498\) −13.7978 24.3269i −0.618294 1.09011i
\(499\) −15.0612 + 4.03564i −0.674233 + 0.180660i −0.579661 0.814858i \(-0.696815\pi\)
−0.0945722 + 0.995518i \(0.530148\pi\)
\(500\) −9.19978 3.70558i −0.411427 0.165719i
\(501\) 0.724700 + 13.6876i 0.0323772 + 0.611515i
\(502\) 0.587240 + 0.388237i 0.0262098 + 0.0173279i
\(503\) 26.2715i 1.17139i −0.810533 0.585693i \(-0.800822\pi\)
0.810533 0.585693i \(-0.199178\pi\)
\(504\) 17.8787 15.3525i 0.796381 0.683856i
\(505\) 3.06194i 0.136255i
\(506\) 14.2832 21.6045i 0.634965 0.960436i
\(507\) −11.8731 6.04165i −0.527305 0.268319i
\(508\) −13.4750 + 5.73673i −0.597858 + 0.254526i
\(509\) 26.4496 7.08716i 1.17236 0.314133i 0.380468 0.924794i \(-0.375763\pi\)
0.791892 + 0.610661i \(0.209096\pi\)
\(510\) −3.09544 1.81890i −0.137068 0.0805423i
\(511\) 15.7981 + 27.3632i 0.698869 + 1.21048i
\(512\) 21.9767 5.38746i 0.971242 0.238094i
\(513\) 20.7140 + 14.9987i 0.914545 + 0.662209i
\(514\) 15.2786 + 5.10313i 0.673912 + 0.225090i
\(515\) −1.78668 + 6.66798i −0.0787305 + 0.293826i
\(516\) 8.01809 + 9.19401i 0.352977 + 0.404744i
\(517\) 10.5131 + 39.2356i 0.462368 + 1.72558i
\(518\) 42.3650 + 2.56855i 1.86141 + 0.112856i
\(519\) 35.6819 11.6149i 1.56626 0.509839i
\(520\) 1.42352 2.99676i 0.0624256 0.131417i
\(521\) 13.9069i 0.609272i 0.952469 + 0.304636i \(0.0985348\pi\)
−0.952469 + 0.304636i \(0.901465\pi\)
\(522\) 11.8964 22.9426i 0.520692 1.00417i
\(523\) 14.8539 14.8539i 0.649517 0.649517i −0.303359 0.952876i \(-0.598108\pi\)
0.952876 + 0.303359i \(0.0981082\pi\)
\(524\) −32.3268 + 25.3119i −1.41220 + 1.10575i
\(525\) 22.7731 1.20574i 0.993901 0.0526230i
\(526\) −4.80454 5.42473i −0.209488 0.236529i
\(527\) −3.69375 + 6.39777i −0.160902 + 0.278691i
\(528\) −25.6223 12.4125i −1.11507 0.540183i
\(529\) −1.56975 2.71888i −0.0682499 0.118212i
\(530\) 0.924352 2.76749i 0.0401513 0.120212i
\(531\) 6.61645 + 1.04066i 0.287129 + 0.0451610i
\(532\) 27.0677 3.83347i 1.17353 0.166202i
\(533\) −12.4567 3.33777i −0.539561 0.144575i
\(534\) 4.08157 + 4.14458i 0.176627 + 0.179353i
\(535\) 1.75813 + 1.01506i 0.0760105 + 0.0438847i
\(536\) 32.9784 + 28.0754i 1.42445 + 1.21267i
\(537\) −2.15611 + 10.1705i −0.0930430 + 0.438891i
\(538\) −9.56587 + 14.4692i −0.412414 + 0.623810i
\(539\) −2.07230 + 2.07230i −0.0892605 + 0.0892605i
\(540\) 3.87899 + 3.59788i 0.166925 + 0.154828i
\(541\) −30.6206 30.6206i −1.31648 1.31648i −0.916542 0.399939i \(-0.869031\pi\)
−0.399939 0.916542i \(-0.630969\pi\)
\(542\) −5.54425 27.1769i −0.238146 1.16735i
\(543\) 24.1426 + 5.11813i 1.03606 + 0.219640i
\(544\) 13.7591 + 8.71420i 0.589917 + 0.373618i
\(545\) −1.15359 + 1.99808i −0.0494144 + 0.0855882i
\(546\) −0.120038 + 15.6736i −0.00513717 + 0.670769i
\(547\) −0.201445 + 0.751802i −0.00861315 + 0.0321447i −0.970099 0.242711i \(-0.921963\pi\)
0.961486 + 0.274856i \(0.0886300\pi\)
\(548\) −14.0020 + 18.6224i −0.598136 + 0.795511i
\(549\) −11.5887 9.36376i −0.494593 0.399636i
\(550\) −12.3065 24.6501i −0.524749 1.05108i
\(551\) 25.9635 14.9901i 1.10608 0.638598i
\(552\) 17.2924 13.3276i 0.736014 0.567260i
\(553\) −7.54023 4.35336i −0.320643 0.185124i
\(554\) 1.44247 23.7918i 0.0612848 1.01081i
\(555\) 0.503799 + 9.51535i 0.0213851 + 0.403904i
\(556\) −14.7324 18.8153i −0.624791 0.797946i
\(557\) −15.1991 15.1991i −0.644006 0.644006i 0.307532 0.951538i \(-0.400497\pi\)
−0.951538 + 0.307532i \(0.900497\pi\)
\(558\) 7.34180 8.03803i 0.310803 0.340277i
\(559\) −8.11390 −0.343181
\(560\) 5.65449 0.110726i 0.238946 0.00467904i
\(561\) −6.34289 19.4858i −0.267797 0.822692i
\(562\) 15.2052 + 17.1680i 0.641394 + 0.724188i
\(563\) −10.9348 + 2.92996i −0.460846 + 0.123483i −0.481770 0.876298i \(-0.660006\pi\)
0.0209240 + 0.999781i \(0.493339\pi\)
\(564\) −2.33392 + 34.1619i −0.0982757 + 1.43847i
\(565\) −4.99532 1.33849i −0.210155 0.0563107i
\(566\) −1.18623 + 0.592222i −0.0498611 + 0.0248929i
\(567\) −23.7885 7.67294i −0.999023 0.322233i
\(568\) −30.8393 + 21.2677i −1.29399 + 0.892374i
\(569\) −38.8985 + 22.4581i −1.63071 + 0.941491i −0.646835 + 0.762630i \(0.723908\pi\)
−0.983874 + 0.178861i \(0.942759\pi\)
\(570\) 1.54306 + 5.94038i 0.0646316 + 0.248815i
\(571\) −5.91221 22.0647i −0.247418 0.923378i −0.972152 0.234349i \(-0.924704\pi\)
0.724734 0.689029i \(-0.241963\pi\)
\(572\) 17.4230 7.41751i 0.728494 0.310142i
\(573\) −8.59061 + 16.8824i −0.358878 + 0.705273i
\(574\) −4.39431 21.5401i −0.183415 0.899066i
\(575\) 21.1275 0.881079
\(576\) −17.0427 16.8981i −0.710114 0.704086i
\(577\) −13.2304 −0.550790 −0.275395 0.961331i \(-0.588809\pi\)
−0.275395 + 0.961331i \(0.588809\pi\)
\(578\) −2.46245 12.0705i −0.102424 0.502066i
\(579\) −33.9812 + 1.79916i −1.41221 + 0.0747707i
\(580\) 5.70658 2.42946i 0.236953 0.100878i
\(581\) 8.20709 + 30.6293i 0.340487 + 1.27072i
\(582\) 23.8147 + 6.57701i 0.987150 + 0.272626i
\(583\) 14.4225 8.32685i 0.597320 0.344863i
\(584\) 26.4900 18.2683i 1.09616 0.755948i
\(585\) −3.49926 + 0.371584i −0.144677 + 0.0153631i
\(586\) 12.7953 6.38801i 0.528570 0.263886i
\(587\) 3.35574 + 0.899168i 0.138506 + 0.0371126i 0.327406 0.944884i \(-0.393825\pi\)
−0.188900 + 0.981996i \(0.560492\pi\)
\(588\) −2.21874 + 1.08655i −0.0914991 + 0.0448084i
\(589\) 12.1985 3.26857i 0.502630 0.134679i
\(590\) 1.06574 + 1.20331i 0.0438757 + 0.0495394i
\(591\) −43.0098 9.11790i −1.76919 0.375060i
\(592\) −0.846265 43.2164i −0.0347813 1.77618i
\(593\) −43.3013 −1.77817 −0.889086 0.457740i \(-0.848659\pi\)
−0.889086 + 0.457740i \(0.848659\pi\)
\(594\) 2.95866 + 30.0522i 0.121395 + 1.23306i
\(595\) 2.87842 + 2.87842i 0.118004 + 0.118004i
\(596\) 1.28938 + 1.64672i 0.0528150 + 0.0674522i
\(597\) −15.6700 + 10.1882i −0.641331 + 0.416974i
\(598\) −0.878788 + 14.4945i −0.0359363 + 0.592724i
\(599\) 15.9727 + 9.22187i 0.652629 + 0.376795i 0.789463 0.613799i \(-0.210359\pi\)
−0.136834 + 0.990594i \(0.543693\pi\)
\(600\) −3.08056 23.0200i −0.125763 0.939787i
\(601\) 17.7246 10.2333i 0.723003 0.417426i −0.0928541 0.995680i \(-0.529599\pi\)
0.815857 + 0.578254i \(0.196266\pi\)
\(602\) −6.17819 12.3751i −0.251804 0.504370i
\(603\) 7.13756 45.3799i 0.290664 1.84801i
\(604\) 15.3353 20.3957i 0.623983 0.829888i
\(605\) −0.775674 + 2.89486i −0.0315357 + 0.117693i
\(606\) 12.8147 7.26826i 0.520560 0.295253i
\(607\) −8.07865 + 13.9926i −0.327902 + 0.567944i −0.982095 0.188384i \(-0.939675\pi\)
0.654193 + 0.756328i \(0.273008\pi\)
\(608\) −6.09822 27.1654i −0.247315 1.10170i
\(609\) −19.5950 + 21.7859i −0.794029 + 0.882811i
\(610\) −0.714722 3.50344i −0.0289382 0.141850i
\(611\) −16.1041 16.1041i −0.651503 0.651503i
\(612\) 0.264582 17.2724i 0.0106951 0.698197i
\(613\) 22.2010 22.2010i 0.896689 0.896689i −0.0984526 0.995142i \(-0.531389\pi\)
0.995142 + 0.0984526i \(0.0313893\pi\)
\(614\) −17.8301 + 26.9695i −0.719565 + 1.08840i
\(615\) 4.69312 1.52767i 0.189245 0.0616017i
\(616\) 24.5794 + 20.9251i 0.990334 + 0.843097i
\(617\) −0.887087 0.512160i −0.0357128 0.0206188i 0.482037 0.876151i \(-0.339897\pi\)
−0.517750 + 0.855532i \(0.673230\pi\)
\(618\) −32.1475 + 8.35056i −1.29316 + 0.335909i
\(619\) 8.01100 + 2.14654i 0.321989 + 0.0862768i 0.416193 0.909276i \(-0.363364\pi\)
−0.0942040 + 0.995553i \(0.530031\pi\)
\(620\) 2.58680 0.366355i 0.103888 0.0147132i
\(621\) −21.6320 8.26381i −0.868062 0.331615i
\(622\) 6.12817 18.3476i 0.245717 0.735671i
\(623\) −3.29766 5.71171i −0.132118 0.228835i
\(624\) 15.9209 1.15591i 0.637348 0.0462735i
\(625\) 10.5897 18.3420i 0.423590 0.733679i
\(626\) 24.4506 + 27.6068i 0.977243 + 1.10339i
\(627\) −15.8870 + 31.2214i −0.634465 + 1.24686i
\(628\) −17.9816 + 14.0795i −0.717542 + 0.561835i
\(629\) 21.9994 21.9994i 0.877172 0.877172i
\(630\) −3.23118 5.05402i −0.128733 0.201357i
\(631\) 17.1003i 0.680750i −0.940290 0.340375i \(-0.889446\pi\)
0.940290 0.340375i \(-0.110554\pi\)
\(632\) −3.80463 + 8.00941i −0.151340 + 0.318597i
\(633\) −11.3933 10.2475i −0.452842 0.407301i
\(634\) 21.8685 + 1.32587i 0.868510 + 0.0526570i
\(635\) 0.964865 + 3.60092i 0.0382895 + 0.142898i
\(636\) 13.7765 2.70075i 0.546273 0.107092i
\(637\) 0.425285 1.58719i 0.0168504 0.0628866i
\(638\) 33.5768 + 11.2148i 1.32932 + 0.443998i
\(639\) 36.3162 + 16.1224i 1.43665 + 0.637790i
\(640\) −0.573378 5.73116i −0.0226648 0.226544i
\(641\) −4.96926 8.60701i −0.196274 0.339956i 0.751044 0.660253i \(-0.229551\pi\)
−0.947317 + 0.320296i \(0.896217\pi\)
\(642\) −0.0748055 + 9.76749i −0.00295234 + 0.385492i
\(643\) 33.4303 8.95763i 1.31836 0.353254i 0.469999 0.882667i \(-0.344254\pi\)
0.848364 + 0.529413i \(0.177588\pi\)
\(644\) −22.7757 + 9.69629i −0.897488 + 0.382088i
\(645\) 2.60340 1.69265i 0.102509 0.0666481i
\(646\) 11.0516 16.7165i 0.434820 0.657701i
\(647\) 41.6750i 1.63841i 0.573498 + 0.819207i \(0.305586\pi\)
−0.573498 + 0.819207i \(0.694414\pi\)
\(648\) −5.84991 + 24.7746i −0.229806 + 0.973236i
\(649\) 9.17454i 0.360132i
\(650\) 12.8860 + 8.51920i 0.505430 + 0.334151i
\(651\) −10.3481 + 6.72805i −0.405575 + 0.263693i
\(652\) 12.1169 + 4.88056i 0.474533 + 0.191137i
\(653\) −40.8352 + 10.9418i −1.59800 + 0.428184i −0.944439 0.328687i \(-0.893394\pi\)
−0.653565 + 0.756871i \(0.726727\pi\)
\(654\) −11.1006 0.0850150i −0.434066 0.00332435i
\(655\) 5.22555 + 9.05091i 0.204179 + 0.353648i
\(656\) −21.5083 + 6.21693i −0.839758 + 0.242730i
\(657\) −31.1945 13.8486i −1.21701 0.540285i
\(658\) 12.2993 36.8237i 0.479476 1.43554i
\(659\) 6.80828 25.4089i 0.265213 0.989789i −0.696907 0.717162i \(-0.745441\pi\)
0.962120 0.272627i \(-0.0878924\pi\)
\(660\) −4.04292 + 6.01460i −0.157370 + 0.234118i
\(661\) 3.44715 + 12.8649i 0.134079 + 0.500388i 1.00000 0.000208061i \(6.62278e-5\pi\)
−0.865921 + 0.500180i \(0.833267\pi\)
\(662\) −0.934724 + 15.4171i −0.0363291 + 0.599202i
\(663\) 8.54254 + 7.68344i 0.331765 + 0.298400i
\(664\) 30.4244 10.8285i 1.18070 0.420226i
\(665\) 6.95879i 0.269850i
\(666\) −38.6272 + 24.6955i −1.49677 + 0.956929i
\(667\) −19.1954 + 19.1954i −0.743247 + 0.743247i
\(668\) −15.7112 1.91214i −0.607886 0.0739831i
\(669\) −11.8354 + 23.2592i −0.457584 + 0.899251i
\(670\) 8.25307 7.30953i 0.318844 0.282392i
\(671\) 10.2042 17.6742i 0.393928 0.682303i
\(672\) 13.8857 + 23.4020i 0.535652 + 0.902750i
\(673\) −6.35961 11.0152i −0.245145 0.424604i 0.717027 0.697045i \(-0.245502\pi\)
−0.962172 + 0.272441i \(0.912169\pi\)
\(674\) −7.55198 2.52239i −0.290891 0.0971590i
\(675\) −19.1193 + 15.5335i −0.735900 + 0.597885i
\(676\) 9.24454 12.2951i 0.355559 0.472888i
\(677\) 42.3243 + 11.3408i 1.62665 + 0.435861i 0.952947 0.303137i \(-0.0980340\pi\)
0.673708 + 0.738998i \(0.264701\pi\)
\(678\) −6.25582 24.0833i −0.240253 0.924914i
\(679\) −24.2592 14.0061i −0.930984 0.537504i
\(680\) 2.68739 3.15671i 0.103057 0.121054i
\(681\) −10.1409 + 3.30098i −0.388599 + 0.126494i
\(682\) 12.4392 + 8.22384i 0.476323 + 0.314907i
\(683\) 4.22715 4.22715i 0.161748 0.161748i −0.621593 0.783340i \(-0.713514\pi\)
0.783340 + 0.621593i \(0.213514\pi\)
\(684\) −21.1985 + 20.5588i −0.810544 + 0.786087i
\(685\) 4.19368 + 4.19368i 0.160232 + 0.160232i
\(686\) −24.1941 + 4.93573i −0.923734 + 0.188447i
\(687\) 4.83773 5.37865i 0.184571 0.205208i
\(688\) −12.0589 + 7.28068i −0.459743 + 0.277573i
\(689\) −4.66870 + 8.08643i −0.177863 + 0.308069i
\(690\) −2.74175 4.83398i −0.104377 0.184026i
\(691\) 0.958595 3.57753i 0.0364667 0.136096i −0.945293 0.326224i \(-0.894224\pi\)
0.981759 + 0.190128i \(0.0608904\pi\)
\(692\) 6.07596 + 42.9017i 0.230973 + 1.63088i
\(693\) 5.31975 33.8225i 0.202081 1.28481i
\(694\) 1.83395 0.915589i 0.0696156 0.0347553i
\(695\) −5.26794 + 3.04145i −0.199824 + 0.115369i
\(696\) 23.7136 + 18.1159i 0.898861 + 0.686681i
\(697\) −13.9558 8.05738i −0.528613 0.305195i
\(698\) −5.92025 0.358940i −0.224085 0.0135861i
\(699\) −2.49673 + 1.62330i −0.0944349 + 0.0613988i
\(700\) −3.18140 + 26.1401i −0.120245 + 0.988003i
\(701\) 22.6596 + 22.6596i 0.855842 + 0.855842i 0.990845 0.135003i \(-0.0431044\pi\)
−0.135003 + 0.990845i \(0.543104\pi\)
\(702\) −9.86147 13.7628i −0.372197 0.519445i
\(703\) −53.1850 −2.00591
\(704\) 19.2385 26.6578i 0.725077 1.00471i
\(705\) 8.52661 + 1.80761i 0.321131 + 0.0680784i
\(706\) 12.0808 10.6996i 0.454665 0.402685i
\(707\) −16.1346 + 4.32325i −0.606803 + 0.162592i
\(708\) −2.50622 + 7.31660i −0.0941896 + 0.274975i
\(709\) −21.3728 5.72683i −0.802673 0.215076i −0.165916 0.986140i \(-0.553058\pi\)
−0.636757 + 0.771064i \(0.719725\pi\)
\(710\) 4.25939 + 8.53165i 0.159852 + 0.320187i
\(711\) 9.35242 0.993128i 0.350743 0.0372452i
\(712\) −5.52943 + 3.81327i −0.207224 + 0.142908i
\(713\) −9.90308 + 5.71755i −0.370873 + 0.214124i
\(714\) −5.21396 + 18.8792i −0.195128 + 0.706537i
\(715\) −1.24756 4.65595i −0.0466560 0.174122i
\(716\) −11.1355 4.48528i −0.416154 0.167623i
\(717\) 17.2820 0.915008i 0.645407 0.0341716i
\(718\) −1.46289 + 0.298437i −0.0545944 + 0.0111376i
\(719\) 8.65067 0.322616 0.161308 0.986904i \(-0.448429\pi\)
0.161308 + 0.986904i \(0.448429\pi\)
\(720\) −4.86720 + 3.69217i −0.181390 + 0.137599i
\(721\) 37.6589 1.40249
\(722\) −7.23787 + 1.47657i −0.269366 + 0.0549522i
\(723\) −17.1266 + 33.6576i −0.636947 + 1.25174i
\(724\) −10.6471 + 26.4333i −0.395696 + 0.982387i
\(725\) 7.47422 + 27.8942i 0.277586 + 1.03596i
\(726\) −13.9566 + 3.62534i −0.517979 + 0.134549i
\(727\) −2.70356 + 1.56090i −0.100269 + 0.0578905i −0.549296 0.835628i \(-0.685104\pi\)
0.449027 + 0.893518i \(0.351771\pi\)
\(728\) −17.8010 3.26987i −0.659750 0.121190i
\(729\) 25.6515 8.42609i 0.950057 0.312077i
\(730\) −3.65868 7.32842i −0.135414 0.271237i
\(731\) −9.79347 2.62415i −0.362225 0.0970578i
\(732\) 12.9658 11.3075i 0.479230 0.417936i
\(733\) 3.31711 0.888818i 0.122520 0.0328292i −0.197038 0.980396i \(-0.563132\pi\)
0.319558 + 0.947567i \(0.396466\pi\)
\(734\) −9.89877 + 8.76708i −0.365370 + 0.323599i
\(735\) 0.194650 + 0.597978i 0.00717976 + 0.0220568i
\(736\) 11.7000 + 22.3304i 0.431268 + 0.823109i
\(737\) 62.9250 2.31787
\(738\) 17.5338 + 16.0150i 0.645427 + 0.589522i
\(739\) 11.1765 + 11.1765i 0.411133 + 0.411133i 0.882133 0.471000i \(-0.156107\pi\)
−0.471000 + 0.882133i \(0.656107\pi\)
\(740\) −10.9222 1.32929i −0.401507 0.0488657i
\(741\) −1.03847 19.6137i −0.0381490 0.720528i
\(742\) −15.8881 0.963280i −0.583270 0.0353631i
\(743\) 8.55561 + 4.93958i 0.313875 + 0.181216i 0.648659 0.761079i \(-0.275330\pi\)
−0.334784 + 0.942295i \(0.608663\pi\)
\(744\) 7.67363 + 9.95646i 0.281329 + 0.365022i
\(745\) 0.461051 0.266188i 0.0168916 0.00975237i
\(746\) 7.60651 3.79751i 0.278494 0.139037i
\(747\) −26.6426 21.5275i −0.974803 0.787649i
\(748\) 23.4285 3.31807i 0.856632 0.121321i
\(749\) 2.86637 10.6974i 0.104735 0.390876i
\(750\) −12.1467 0.0930271i −0.443535 0.00339687i
\(751\) −23.4223 + 40.5685i −0.854690 + 1.48037i 0.0222416 + 0.999753i \(0.492920\pi\)
−0.876932 + 0.480615i \(0.840414\pi\)
\(752\) −38.3845 9.48368i −1.39974 0.345834i
\(753\) 0.843443 + 0.178806i 0.0307368 + 0.00651606i
\(754\) −19.4476 + 3.96743i −0.708241 + 0.144485i
\(755\) −4.59300 4.59300i −0.167156 0.167156i
\(756\) 13.4818 25.5199i 0.490328 0.928149i
\(757\) −14.0064 + 14.0064i −0.509071 + 0.509071i −0.914241 0.405170i \(-0.867212\pi\)
0.405170 + 0.914241i \(0.367212\pi\)
\(758\) 10.5997 + 7.00766i 0.384997 + 0.254530i
\(759\) 6.57826 31.0302i 0.238776 1.12632i
\(760\) −7.06425 + 0.567305i −0.256247 + 0.0205783i
\(761\) 24.1008 + 13.9146i 0.873655 + 0.504405i 0.868561 0.495582i \(-0.165045\pi\)
0.00509371 + 0.999987i \(0.498379\pi\)
\(762\) −12.7800 + 12.5858i −0.462971 + 0.455934i
\(763\) 12.1574 + 3.25757i 0.440129 + 0.117932i
\(764\) −17.4824 13.1448i −0.632490 0.475562i
\(765\) −4.34378 0.683209i −0.157050 0.0247015i
\(766\) −29.2313 9.76338i −1.05617 0.352765i
\(767\) −2.57199 4.45482i −0.0928693 0.160854i
\(768\) 22.6246 16.0040i 0.816396 0.577493i
\(769\) 8.70836 15.0833i 0.314031 0.543918i −0.665200 0.746666i \(-0.731654\pi\)
0.979231 + 0.202747i \(0.0649869\pi\)
\(770\) 6.15117 5.44793i 0.221673 0.196330i
\(771\) 19.7010 1.04309i 0.709515 0.0375659i
\(772\) 4.74715 39.0052i 0.170854 1.40383i