Properties

Label 384.2.w.a.131.28
Level $384$
Weight $2$
Character 384.131
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 131.28
Character \(\chi\) \(=\) 384.131
Dual form 384.2.w.a.299.28

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.332859 - 1.37448i) q^{2} +(1.72293 - 0.177512i) q^{3} +(-1.77841 + 0.915019i) q^{4} +(0.916059 - 3.01984i) q^{5} +(-0.817480 - 2.30905i) q^{6} +(0.600884 + 3.02085i) q^{7} +(1.84964 + 2.13982i) q^{8} +(2.93698 - 0.611681i) q^{9} +O(q^{10})\) \(q+(-0.332859 - 1.37448i) q^{2} +(1.72293 - 0.177512i) q^{3} +(-1.77841 + 0.915019i) q^{4} +(0.916059 - 3.01984i) q^{5} +(-0.817480 - 2.30905i) q^{6} +(0.600884 + 3.02085i) q^{7} +(1.84964 + 2.13982i) q^{8} +(2.93698 - 0.611681i) q^{9} +(-4.45564 - 0.253925i) q^{10} +(5.22684 - 0.514799i) q^{11} +(-2.90165 + 1.89220i) q^{12} +(-0.714611 - 2.35576i) q^{13} +(3.95209 - 1.83142i) q^{14} +(1.04225 - 5.36559i) q^{15} +(2.32548 - 3.25456i) q^{16} +(-5.33874 - 2.21138i) q^{17} +(-1.81835 - 3.83323i) q^{18} +(-3.03750 + 5.68277i) q^{19} +(1.13409 + 6.20873i) q^{20} +(1.57152 + 5.09805i) q^{21} +(-2.44739 - 7.01285i) q^{22} +(-1.90262 - 2.84748i) q^{23} +(3.56664 + 3.35843i) q^{24} +(-4.12294 - 2.75486i) q^{25} +(-3.00008 + 1.76636i) q^{26} +(4.95163 - 1.57523i) q^{27} +(-3.83275 - 4.82248i) q^{28} +(-2.84261 - 0.279972i) q^{29} +(-7.72184 + 0.353433i) q^{30} +(-2.92121 - 2.92121i) q^{31} +(-5.24739 - 2.11302i) q^{32} +(8.91411 - 1.81479i) q^{33} +(-1.26245 + 8.07408i) q^{34} +(9.67293 + 0.952700i) q^{35} +(-4.66345 + 3.77521i) q^{36} +(3.26200 + 6.10278i) q^{37} +(8.82193 + 2.28343i) q^{38} +(-1.64940 - 3.93195i) q^{39} +(8.15630 - 3.62542i) q^{40} +(3.87818 + 5.80411i) q^{41} +(6.48408 - 3.85696i) q^{42} +(3.84929 + 3.15903i) q^{43} +(-8.82442 + 5.69819i) q^{44} +(0.843267 - 9.42955i) q^{45} +(-3.28050 + 3.56293i) q^{46} +(-6.20600 - 2.57061i) q^{47} +(3.42892 - 6.02018i) q^{48} +(-2.29730 + 0.951572i) q^{49} +(-2.41415 + 6.58389i) q^{50} +(-9.59082 - 2.86236i) q^{51} +(3.42643 + 3.53561i) q^{52} +(-6.08065 + 0.598892i) q^{53} +(-3.81333 - 6.28160i) q^{54} +(3.23349 - 16.2558i) q^{55} +(-5.35265 + 6.87326i) q^{56} +(-4.22465 + 10.3302i) q^{57} +(0.561371 + 4.00031i) q^{58} +(-0.748046 + 2.46598i) q^{59} +(3.05607 + 10.4959i) q^{60} +(0.461481 - 0.378728i) q^{61} +(-3.04280 + 4.98750i) q^{62} +(3.61258 + 8.50462i) q^{63} +(-1.15767 + 7.91579i) q^{64} -7.76864 q^{65} +(-5.46154 - 11.6482i) q^{66} +(-4.39455 - 5.35477i) q^{67} +(11.5179 - 0.952313i) q^{68} +(-3.78355 - 4.56827i) q^{69} +(-1.91025 - 13.6124i) q^{70} +(0.900815 + 4.52870i) q^{71} +(6.74124 + 5.15322i) q^{72} +(8.04466 + 1.60018i) q^{73} +(7.30238 - 6.51493i) q^{74} +(-7.59256 - 4.01456i) q^{75} +(0.202081 - 12.8857i) q^{76} +(4.69586 + 15.4802i) q^{77} +(-4.85538 + 3.57586i) q^{78} +(4.83029 + 11.6614i) q^{79} +(-7.69798 - 10.0040i) q^{80} +(8.25169 - 3.59299i) q^{81} +(6.68676 - 7.26244i) q^{82} +(1.08193 - 2.02415i) q^{83} +(-7.45961 - 7.62844i) q^{84} +(-11.5686 + 14.0964i) q^{85} +(3.06076 - 6.34229i) q^{86} +(-4.94731 + 0.0222233i) q^{87} +(10.7694 + 10.2323i) q^{88} +(2.17944 + 1.45626i) q^{89} +(-13.2415 + 1.97966i) q^{90} +(6.68698 - 3.57426i) q^{91} +(5.98914 + 3.32304i) q^{92} +(-5.55158 - 4.51449i) q^{93} +(-1.46753 + 9.38569i) q^{94} +(14.3785 + 14.3785i) q^{95} +(-9.41598 - 2.70912i) q^{96} +(-10.8551 + 10.8551i) q^{97} +(2.07260 + 2.84086i) q^{98} +(15.0362 - 4.70911i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.332859 1.37448i −0.235367 0.971907i
\(3\) 1.72293 0.177512i 0.994734 0.102486i
\(4\) −1.77841 + 0.915019i −0.889205 + 0.457510i
\(5\) 0.916059 3.01984i 0.409674 1.35051i −0.473221 0.880944i \(-0.656909\pi\)
0.882895 0.469571i \(-0.155591\pi\)
\(6\) −0.817480 2.30905i −0.333735 0.942667i
\(7\) 0.600884 + 3.02085i 0.227113 + 1.14177i 0.911070 + 0.412251i \(0.135257\pi\)
−0.683958 + 0.729522i \(0.739743\pi\)
\(8\) 1.84964 + 2.13982i 0.653946 + 0.756541i
\(9\) 2.93698 0.611681i 0.978993 0.203894i
\(10\) −4.45564 0.253925i −1.40900 0.0802983i
\(11\) 5.22684 0.514799i 1.57595 0.155218i 0.728108 0.685462i \(-0.240400\pi\)
0.847845 + 0.530245i \(0.177900\pi\)
\(12\) −2.90165 + 1.89220i −0.837634 + 0.546232i
\(13\) −0.714611 2.35576i −0.198197 0.653369i −0.998550 0.0538390i \(-0.982854\pi\)
0.800352 0.599530i \(-0.204646\pi\)
\(14\) 3.95209 1.83142i 1.05624 0.489468i
\(15\) 1.04225 5.36559i 0.269108 1.38539i
\(16\) 2.32548 3.25456i 0.581370 0.813639i
\(17\) −5.33874 2.21138i −1.29483 0.536338i −0.374411 0.927263i \(-0.622155\pi\)
−0.920422 + 0.390925i \(0.872155\pi\)
\(18\) −1.81835 3.83323i −0.428588 0.903500i
\(19\) −3.03750 + 5.68277i −0.696851 + 1.30372i 0.245600 + 0.969371i \(0.421015\pi\)
−0.942451 + 0.334345i \(0.891485\pi\)
\(20\) 1.13409 + 6.20873i 0.253589 + 1.38831i
\(21\) 1.57152 + 5.09805i 0.342933 + 1.11248i
\(22\) −2.44739 7.01285i −0.521785 1.49515i
\(23\) −1.90262 2.84748i −0.396724 0.593740i 0.578304 0.815821i \(-0.303715\pi\)
−0.975028 + 0.222082i \(0.928715\pi\)
\(24\) 3.56664 + 3.35843i 0.728038 + 0.685537i
\(25\) −4.12294 2.75486i −0.824588 0.550972i
\(26\) −3.00008 + 1.76636i −0.588364 + 0.346411i
\(27\) 4.95163 1.57523i 0.952942 0.303154i
\(28\) −3.83275 4.82248i −0.724322 0.911363i
\(29\) −2.84261 0.279972i −0.527859 0.0519896i −0.169422 0.985544i \(-0.554190\pi\)
−0.358437 + 0.933554i \(0.616690\pi\)
\(30\) −7.72184 + 0.353433i −1.40981 + 0.0645278i
\(31\) −2.92121 2.92121i −0.524664 0.524664i 0.394312 0.918976i \(-0.370983\pi\)
−0.918976 + 0.394312i \(0.870983\pi\)
\(32\) −5.24739 2.11302i −0.927617 0.373533i
\(33\) 8.91411 1.81479i 1.55175 0.315914i
\(34\) −1.26245 + 8.07408i −0.216509 + 1.38469i
\(35\) 9.67293 + 0.952700i 1.63502 + 0.161036i
\(36\) −4.66345 + 3.77521i −0.777242 + 0.629202i
\(37\) 3.26200 + 6.10278i 0.536270 + 1.00329i 0.993488 + 0.113936i \(0.0363458\pi\)
−0.457218 + 0.889355i \(0.651154\pi\)
\(38\) 8.82193 + 2.28343i 1.43111 + 0.370422i
\(39\) −1.64940 3.93195i −0.264115 0.629616i
\(40\) 8.15630 3.62542i 1.28962 0.573229i
\(41\) 3.87818 + 5.80411i 0.605670 + 0.906449i 0.999921 0.0125536i \(-0.00399603\pi\)
−0.394251 + 0.919003i \(0.628996\pi\)
\(42\) 6.48408 3.85696i 1.00052 0.595141i
\(43\) 3.84929 + 3.15903i 0.587011 + 0.481747i 0.880391 0.474248i \(-0.157280\pi\)
−0.293380 + 0.955996i \(0.594780\pi\)
\(44\) −8.82442 + 5.69819i −1.33033 + 0.859034i
\(45\) 0.843267 9.42955i 0.125707 1.40567i
\(46\) −3.28050 + 3.56293i −0.483684 + 0.525326i
\(47\) −6.20600 2.57061i −0.905238 0.374962i −0.119006 0.992894i \(-0.537971\pi\)
−0.786232 + 0.617932i \(0.787971\pi\)
\(48\) 3.42892 6.02018i 0.494922 0.868938i
\(49\) −2.29730 + 0.951572i −0.328185 + 0.135939i
\(50\) −2.41415 + 6.58389i −0.341412 + 0.931103i
\(51\) −9.59082 2.86236i −1.34298 0.400811i
\(52\) 3.42643 + 3.53561i 0.475161 + 0.490302i
\(53\) −6.08065 + 0.598892i −0.835242 + 0.0822641i −0.506590 0.862187i \(-0.669094\pi\)
−0.328652 + 0.944451i \(0.606594\pi\)
\(54\) −3.81333 6.28160i −0.518928 0.854818i
\(55\) 3.23349 16.2558i 0.436003 2.19194i
\(56\) −5.35265 + 6.87326i −0.715279 + 0.918478i
\(57\) −4.22465 + 10.3302i −0.559568 + 1.36827i
\(58\) 0.561371 + 4.00031i 0.0737116 + 0.525266i
\(59\) −0.748046 + 2.46598i −0.0973873 + 0.321043i −0.992075 0.125650i \(-0.959898\pi\)
0.894687 + 0.446693i \(0.147398\pi\)
\(60\) 3.05607 + 10.4959i 0.394537 + 1.35501i
\(61\) 0.461481 0.378728i 0.0590866 0.0484911i −0.604386 0.796691i \(-0.706582\pi\)
0.663473 + 0.748200i \(0.269082\pi\)
\(62\) −3.04280 + 4.98750i −0.386436 + 0.633413i
\(63\) 3.61258 + 8.50462i 0.455142 + 1.07148i
\(64\) −1.15767 + 7.91579i −0.144709 + 0.989474i
\(65\) −7.76864 −0.963581
\(66\) −5.46154 11.6482i −0.672269 1.43380i
\(67\) −4.39455 5.35477i −0.536879 0.654189i 0.431956 0.901895i \(-0.357824\pi\)
−0.968835 + 0.247705i \(0.920324\pi\)
\(68\) 11.5179 0.952313i 1.39675 0.115485i
\(69\) −3.78355 4.56827i −0.455486 0.549954i
\(70\) −1.91025 13.6124i −0.228319 1.62699i
\(71\) 0.900815 + 4.52870i 0.106907 + 0.537458i 0.996706 + 0.0811046i \(0.0258448\pi\)
−0.889799 + 0.456354i \(0.849155\pi\)
\(72\) 6.74124 + 5.15322i 0.794463 + 0.607313i
\(73\) 8.04466 + 1.60018i 0.941557 + 0.187287i 0.641925 0.766768i \(-0.278136\pi\)
0.299632 + 0.954055i \(0.403136\pi\)
\(74\) 7.30238 6.51493i 0.848884 0.757346i
\(75\) −7.59256 4.01456i −0.876713 0.463562i
\(76\) 0.202081 12.8857i 0.0231803 1.47809i
\(77\) 4.69586 + 15.4802i 0.535142 + 1.76413i
\(78\) −4.85538 + 3.57586i −0.549764 + 0.404886i
\(79\) 4.83029 + 11.6614i 0.543450 + 1.31200i 0.922274 + 0.386536i \(0.126328\pi\)
−0.378824 + 0.925469i \(0.623672\pi\)
\(80\) −7.69798 10.0040i −0.860660 1.11848i
\(81\) 8.25169 3.59299i 0.916855 0.399221i
\(82\) 6.68676 7.26244i 0.738429 0.802003i
\(83\) 1.08193 2.02415i 0.118757 0.222179i −0.815518 0.578732i \(-0.803548\pi\)
0.934275 + 0.356553i \(0.116048\pi\)
\(84\) −7.45961 7.62844i −0.813910 0.832331i
\(85\) −11.5686 + 14.0964i −1.25479 + 1.52897i
\(86\) 3.06076 6.34229i 0.330050 0.683907i
\(87\) −4.94731 + 0.0222233i −0.530408 + 0.00238258i
\(88\) 10.7694 + 10.2323i 1.14802 + 1.09077i
\(89\) 2.17944 + 1.45626i 0.231020 + 0.154363i 0.665693 0.746226i \(-0.268136\pi\)
−0.434673 + 0.900588i \(0.643136\pi\)
\(90\) −13.2415 + 1.97966i −1.39577 + 0.208674i
\(91\) 6.68698 3.57426i 0.700986 0.374685i
\(92\) 5.98914 + 3.32304i 0.624411 + 0.346451i
\(93\) −5.55158 4.51449i −0.575672 0.468131i
\(94\) −1.46753 + 9.38569i −0.151365 + 0.968060i
\(95\) 14.3785 + 14.3785i 1.47521 + 1.47521i
\(96\) −9.41598 2.70912i −0.961014 0.276498i
\(97\) −10.8551 + 10.8551i −1.10217 + 1.10217i −0.108018 + 0.994149i \(0.534450\pi\)
−0.994149 + 0.108018i \(0.965550\pi\)
\(98\) 2.07260 + 2.84086i 0.209364 + 0.286970i
\(99\) 15.0362 4.70911i 1.51120 0.473284i
\(100\) 9.85302 + 1.12670i 0.985302 + 0.112670i
\(101\) −1.42058 2.65772i −0.141353 0.264453i 0.801276 0.598295i \(-0.204155\pi\)
−0.942629 + 0.333842i \(0.891655\pi\)
\(102\) −0.741874 + 14.1352i −0.0734564 + 1.39959i
\(103\) 9.55258 14.2964i 0.941244 1.40867i 0.0287468 0.999587i \(-0.490848\pi\)
0.912497 0.409084i \(-0.134152\pi\)
\(104\) 3.71912 5.88644i 0.364690 0.577213i
\(105\) 16.8349 0.0756221i 1.64292 0.00737997i
\(106\) 2.84717 + 8.15841i 0.276541 + 0.792414i
\(107\) 12.0626 + 9.89951i 1.16613 + 0.957022i 0.999579 0.0290100i \(-0.00923547\pi\)
0.166556 + 0.986032i \(0.446735\pi\)
\(108\) −7.36466 + 7.33224i −0.708665 + 0.705546i
\(109\) −8.96215 4.79037i −0.858418 0.458834i −0.0174049 0.999849i \(-0.505540\pi\)
−0.841013 + 0.541014i \(0.818040\pi\)
\(110\) −23.4197 + 0.966533i −2.23298 + 0.0921553i
\(111\) 6.70352 + 9.93562i 0.636270 + 0.943047i
\(112\) 11.2289 + 5.06931i 1.06103 + 0.479004i
\(113\) −12.4388 + 5.15232i −1.17014 + 0.484690i −0.881240 0.472668i \(-0.843291\pi\)
−0.288904 + 0.957358i \(0.593291\pi\)
\(114\) 15.6049 + 2.36820i 1.46153 + 0.221803i
\(115\) −10.3418 + 3.13716i −0.964382 + 0.292542i
\(116\) 5.31150 2.10314i 0.493160 0.195271i
\(117\) −3.53977 6.48169i −0.327252 0.599233i
\(118\) 3.63844 + 0.207353i 0.334945 + 0.0190884i
\(119\) 3.47227 17.4563i 0.318303 1.60021i
\(120\) 13.4092 7.69418i 1.22409 0.702379i
\(121\) 16.2662 3.23556i 1.47875 0.294142i
\(122\) −0.674164 0.508235i −0.0610359 0.0460135i
\(123\) 7.71213 + 9.31165i 0.695379 + 0.839603i
\(124\) 7.86806 + 2.52214i 0.706573 + 0.226495i
\(125\) 0.100951 0.0828486i 0.00902936 0.00741021i
\(126\) 10.4870 7.79627i 0.934254 0.694547i
\(127\) 2.82151i 0.250369i 0.992134 + 0.125184i \(0.0399522\pi\)
−0.992134 + 0.125184i \(0.960048\pi\)
\(128\) 11.2655 1.04365i 0.995736 0.0922462i
\(129\) 7.19282 + 4.75949i 0.633293 + 0.419050i
\(130\) 2.58586 + 10.6779i 0.226795 + 0.936511i
\(131\) 0.494387 + 0.602412i 0.0431948 + 0.0526330i 0.794160 0.607709i \(-0.207911\pi\)
−0.750965 + 0.660342i \(0.770411\pi\)
\(132\) −14.1924 + 11.3840i −1.23529 + 0.990852i
\(133\) −18.9920 5.76115i −1.64681 0.499555i
\(134\) −5.89728 + 7.82262i −0.509447 + 0.675771i
\(135\) −0.220966 16.3962i −0.0190177 1.41116i
\(136\) −5.14278 15.5142i −0.440990 1.33033i
\(137\) −13.1114 2.60802i −1.12018 0.222818i −0.399940 0.916541i \(-0.630969\pi\)
−0.720241 + 0.693724i \(0.755969\pi\)
\(138\) −5.01962 + 6.72101i −0.427298 + 0.572131i
\(139\) 0.513974 + 5.21847i 0.0435947 + 0.442625i 0.992062 + 0.125750i \(0.0401336\pi\)
−0.948467 + 0.316875i \(0.897366\pi\)
\(140\) −18.0742 + 7.15663i −1.52755 + 0.604845i
\(141\) −11.1488 3.32734i −0.938900 0.280213i
\(142\) 5.92478 2.74558i 0.497197 0.230404i
\(143\) −4.94790 11.9453i −0.413764 0.998915i
\(144\) 4.83913 10.9810i 0.403261 0.915085i
\(145\) −3.44947 + 8.32776i −0.286463 + 0.691583i
\(146\) −0.478316 11.5899i −0.0395857 0.959186i
\(147\) −3.78917 + 2.04729i −0.312525 + 0.168858i
\(148\) −11.3853 7.86844i −0.935869 0.646782i
\(149\) −2.87722 + 3.50590i −0.235711 + 0.287215i −0.877409 0.479742i \(-0.840730\pi\)
0.641698 + 0.766957i \(0.278230\pi\)
\(150\) −2.99069 + 11.7721i −0.244189 + 0.961190i
\(151\) −18.6087 + 12.4339i −1.51435 + 1.01186i −0.527625 + 0.849477i \(0.676918\pi\)
−0.986728 + 0.162381i \(0.948082\pi\)
\(152\) −17.7784 + 4.01136i −1.44202 + 0.325364i
\(153\) −17.0324 3.22916i −1.37699 0.261063i
\(154\) 19.7142 11.6071i 1.58861 0.935326i
\(155\) −11.4976 + 6.14559i −0.923508 + 0.493625i
\(156\) 6.53112 + 5.48339i 0.522908 + 0.439022i
\(157\) −1.08643 + 11.0307i −0.0867065 + 0.880346i 0.849194 + 0.528081i \(0.177088\pi\)
−0.935900 + 0.352265i \(0.885412\pi\)
\(158\) 14.4205 10.5207i 1.14724 0.836985i
\(159\) −10.3702 + 2.11124i −0.822413 + 0.167432i
\(160\) −11.1879 + 13.9106i −0.884483 + 1.09973i
\(161\) 7.45853 7.45853i 0.587815 0.587815i
\(162\) −7.68516 10.1459i −0.603803 0.797134i
\(163\) −1.29413 + 13.1395i −0.101364 + 1.02916i 0.801139 + 0.598479i \(0.204228\pi\)
−0.902503 + 0.430685i \(0.858272\pi\)
\(164\) −12.2079 6.77347i −0.953274 0.528919i
\(165\) 2.68547 28.5817i 0.209064 2.22508i
\(166\) −3.14229 0.813337i −0.243889 0.0631272i
\(167\) 7.98747 11.9541i 0.618089 0.925035i −0.381911 0.924199i \(-0.624734\pi\)
1.00000 0.000835986i \(-0.000266103\pi\)
\(168\) −8.00217 + 12.7923i −0.617381 + 0.986948i
\(169\) 5.77019 3.85552i 0.443861 0.296578i
\(170\) 23.2260 + 11.2087i 1.78135 + 0.859672i
\(171\) −5.44504 + 18.5482i −0.416393 + 1.41841i
\(172\) −9.73618 2.09587i −0.742377 0.159809i
\(173\) −12.3681 6.61088i −0.940328 0.502616i −0.0713414 0.997452i \(-0.522728\pi\)
−0.868986 + 0.494836i \(0.835228\pi\)
\(174\) 1.67731 + 6.79260i 0.127156 + 0.514946i
\(175\) 5.84460 14.1101i 0.441810 1.06662i
\(176\) 10.4795 18.2082i 0.789920 1.37250i
\(177\) −0.851091 + 4.38149i −0.0639720 + 0.329333i
\(178\) 1.27615 3.48033i 0.0956516 0.260862i
\(179\) 7.86699 2.38642i 0.588006 0.178370i 0.0177581 0.999842i \(-0.494347\pi\)
0.570248 + 0.821473i \(0.306847\pi\)
\(180\) 7.12855 + 17.5412i 0.531331 + 1.30744i
\(181\) −0.512588 5.20439i −0.0381003 0.386839i −0.995258 0.0972715i \(-0.968988\pi\)
0.957158 0.289568i \(-0.0935115\pi\)
\(182\) −7.13859 8.00141i −0.529148 0.593104i
\(183\) 0.727871 0.734440i 0.0538058 0.0542914i
\(184\) 2.57392 9.33807i 0.189752 0.688412i
\(185\) 21.4176 4.26023i 1.57465 0.313218i
\(186\) −4.35719 + 9.13325i −0.319485 + 0.669682i
\(187\) −29.0432 8.81014i −2.12385 0.644262i
\(188\) 13.3890 1.10701i 0.976490 0.0807373i
\(189\) 7.73389 + 14.0116i 0.562558 + 1.01919i
\(190\) 14.9770 24.5491i 1.08655 1.78098i
\(191\) 14.0263i 1.01491i −0.861678 0.507455i \(-0.830586\pi\)
0.861678 0.507455i \(-0.169414\pi\)
\(192\) −0.589441 + 13.8439i −0.0425392 + 0.999095i
\(193\) 18.7969i 1.35303i −0.736428 0.676516i \(-0.763489\pi\)
0.736428 0.676516i \(-0.236511\pi\)
\(194\) 18.5334 + 11.3069i 1.33062 + 0.811790i
\(195\) −13.3848 + 1.37902i −0.958507 + 0.0987540i
\(196\) 3.21483 3.79436i 0.229631 0.271025i
\(197\) −4.00637 1.21532i −0.285442 0.0865878i 0.144317 0.989531i \(-0.453901\pi\)
−0.429759 + 0.902944i \(0.641401\pi\)
\(198\) −11.4776 19.0996i −0.815674 1.35735i
\(199\) −6.25182 + 1.24356i −0.443180 + 0.0881539i −0.411636 0.911348i \(-0.635042\pi\)
−0.0315439 + 0.999502i \(0.510042\pi\)
\(200\) −1.73104 13.9178i −0.122403 0.984141i
\(201\) −8.52203 8.44581i −0.601098 0.595722i
\(202\) −3.18014 + 2.83721i −0.223754 + 0.199625i
\(203\) −0.862323 8.75531i −0.0605232 0.614502i
\(204\) 19.6755 3.68533i 1.37756 0.258025i
\(205\) 21.0801 6.39459i 1.47230 0.446617i
\(206\) −22.8299 8.37116i −1.59063 0.583246i
\(207\) −7.32971 7.19918i −0.509450 0.500378i
\(208\) −9.32875 3.15252i −0.646833 0.218588i
\(209\) −12.9511 + 31.2666i −0.895844 + 2.16276i
\(210\) −5.70759 23.1141i −0.393861 1.59503i
\(211\) −12.0922 6.46340i −0.832460 0.444959i −0.000636482 1.00000i \(-0.500203\pi\)
−0.831823 + 0.555041i \(0.812703\pi\)
\(212\) 10.2659 6.62899i 0.705064 0.455281i
\(213\) 2.35594 + 7.64274i 0.161426 + 0.523672i
\(214\) 9.59157 19.8750i 0.655666 1.35863i
\(215\) 13.0659 8.73039i 0.891090 0.595407i
\(216\) 12.5294 + 7.68199i 0.852521 + 0.522694i
\(217\) 7.06921 10.5798i 0.479889 0.718205i
\(218\) −3.60115 + 13.9128i −0.243900 + 0.942297i
\(219\) 14.1444 + 1.32898i 0.955793 + 0.0898043i
\(220\) 9.12394 + 31.8682i 0.615136 + 2.14856i
\(221\) −1.39435 + 14.1570i −0.0937938 + 0.952305i
\(222\) 11.4250 12.5210i 0.766797 0.840357i
\(223\) 4.09618 4.09618i 0.274300 0.274300i −0.556528 0.830829i \(-0.687867\pi\)
0.830829 + 0.556528i \(0.187867\pi\)
\(224\) 3.23005 17.1213i 0.215816 1.14396i
\(225\) −13.7941 5.56904i −0.919605 0.371270i
\(226\) 11.2222 + 15.3819i 0.746487 + 1.02319i
\(227\) −0.661896 + 6.72035i −0.0439316 + 0.446045i 0.947907 + 0.318547i \(0.103195\pi\)
−0.991839 + 0.127498i \(0.959305\pi\)
\(228\) −1.93919 22.2370i −0.128426 1.47268i
\(229\) 4.35119 2.32576i 0.287535 0.153690i −0.321324 0.946969i \(-0.604128\pi\)
0.608858 + 0.793279i \(0.291628\pi\)
\(230\) 7.75436 + 13.1705i 0.511307 + 0.868434i
\(231\) 10.8385 + 25.8377i 0.713124 + 1.69999i
\(232\) −4.65871 6.60052i −0.305859 0.433345i
\(233\) 17.8367 11.9181i 1.16852 0.780781i 0.188971 0.981983i \(-0.439485\pi\)
0.979550 + 0.201202i \(0.0644847\pi\)
\(234\) −7.73073 + 7.02284i −0.505374 + 0.459098i
\(235\) −13.4479 + 16.3863i −0.877244 + 1.06892i
\(236\) −0.926085 5.06999i −0.0602830 0.330028i
\(237\) 10.3923 + 19.2343i 0.675051 + 1.24940i
\(238\) −25.1492 + 1.03791i −1.63018 + 0.0672776i
\(239\) −2.19885 + 5.30849i −0.142232 + 0.343378i −0.978902 0.204329i \(-0.934499\pi\)
0.836671 + 0.547706i \(0.184499\pi\)
\(240\) −15.0389 15.8696i −0.970757 1.02438i
\(241\) 2.96898 + 7.16774i 0.191249 + 0.461715i 0.990196 0.139686i \(-0.0446094\pi\)
−0.798947 + 0.601401i \(0.794609\pi\)
\(242\) −9.86159 21.2807i −0.633927 1.36797i
\(243\) 13.5793 7.65524i 0.871112 0.491084i
\(244\) −0.474159 + 1.09580i −0.0303549 + 0.0701512i
\(245\) 0.769137 + 7.80918i 0.0491383 + 0.498910i
\(246\) 10.2317 13.6997i 0.652346 0.873459i
\(247\) 15.5578 + 3.09465i 0.989922 + 0.196908i
\(248\) 0.847683 11.6540i 0.0538279 0.740032i
\(249\) 1.50478 3.67952i 0.0953615 0.233180i
\(250\) −0.147477 0.111179i −0.00932724 0.00703158i
\(251\) −8.27642 2.51062i −0.522403 0.158469i 0.0180603 0.999837i \(-0.494251\pi\)
−0.540463 + 0.841368i \(0.681751\pi\)
\(252\) −14.2065 11.8191i −0.894927 0.744534i
\(253\) −11.4106 13.9038i −0.717378 0.874127i
\(254\) 3.87812 0.939166i 0.243335 0.0589285i
\(255\) −17.4296 + 26.3407i −1.09149 + 1.64952i
\(256\) −5.18429 15.1368i −0.324018 0.946051i
\(257\) 28.4165i 1.77257i −0.463137 0.886287i \(-0.653276\pi\)
0.463137 0.886287i \(-0.346724\pi\)
\(258\) 4.14765 11.4707i 0.258221 0.714132i
\(259\) −16.4755 + 13.5211i −1.02374 + 0.840158i
\(260\) 13.8158 7.10845i 0.856821 0.440848i
\(261\) −8.51993 + 0.916495i −0.527371 + 0.0567296i
\(262\) 0.663445 0.880045i 0.0409877 0.0543694i
\(263\) −19.2275 + 3.82459i −1.18562 + 0.235834i −0.748231 0.663439i \(-0.769096\pi\)
−0.437388 + 0.899273i \(0.644096\pi\)
\(264\) 20.3712 + 15.7179i 1.25376 + 0.967369i
\(265\) −3.76168 + 18.9112i −0.231078 + 1.16171i
\(266\) −1.59695 + 28.0218i −0.0979154 + 1.71813i
\(267\) 4.01353 + 2.12215i 0.245624 + 0.129874i
\(268\) 12.7150 + 5.50188i 0.776694 + 0.336081i
\(269\) −0.591217 + 0.179344i −0.0360472 + 0.0109348i −0.308257 0.951303i \(-0.599746\pi\)
0.272210 + 0.962238i \(0.412246\pi\)
\(270\) −22.4627 + 5.76133i −1.36704 + 0.350623i
\(271\) 26.7162 11.0662i 1.62289 0.672224i 0.628484 0.777822i \(-0.283676\pi\)
0.994409 + 0.105598i \(0.0336756\pi\)
\(272\) −19.6122 + 12.2327i −1.18916 + 0.741717i
\(273\) 10.8867 7.34523i 0.658895 0.444553i
\(274\) 0.779571 + 18.8895i 0.0470956 + 1.14116i
\(275\) −22.9682 12.2767i −1.38503 0.740315i
\(276\) 10.9087 + 4.66223i 0.656629 + 0.280633i
\(277\) 7.13473 + 5.85532i 0.428684 + 0.351812i 0.823860 0.566793i \(-0.191816\pi\)
−0.395176 + 0.918606i \(0.629316\pi\)
\(278\) 7.00161 2.44346i 0.419929 0.146549i
\(279\) −10.3664 6.79268i −0.620618 0.406667i
\(280\) 15.8528 + 22.4605i 0.947387 + 1.34227i
\(281\) 0.352220 0.527134i 0.0210117 0.0314462i −0.820815 0.571194i \(-0.806480\pi\)
0.841827 + 0.539748i \(0.181480\pi\)
\(282\) −0.862389 + 16.4314i −0.0513545 + 0.978475i
\(283\) −12.7170 23.7918i −0.755947 1.41428i −0.904984 0.425446i \(-0.860117\pi\)
0.149036 0.988832i \(-0.452383\pi\)
\(284\) −5.74587 7.22963i −0.340955 0.428999i
\(285\) 27.3256 + 22.2209i 1.61863 + 1.31625i
\(286\) −14.7716 + 10.7769i −0.873465 + 0.637252i
\(287\) −15.2030 + 15.2030i −0.897404 + 0.897404i
\(288\) −16.7040 2.99617i −0.984291 0.176551i
\(289\) 11.5911 + 11.5911i 0.681829 + 0.681829i
\(290\) 12.5946 + 1.96927i 0.739578 + 0.115639i
\(291\) −16.7757 + 20.6295i −0.983406 + 1.20932i
\(292\) −15.7709 + 4.51524i −0.922922 + 0.264235i
\(293\) −5.95097 + 3.18086i −0.347660 + 0.185828i −0.635979 0.771706i \(-0.719404\pi\)
0.288319 + 0.957534i \(0.406904\pi\)
\(294\) 4.07523 + 4.52669i 0.237672 + 0.264002i
\(295\) 6.76161 + 4.51796i 0.393676 + 0.263046i
\(296\) −7.02533 + 18.2680i −0.408339 + 1.06181i
\(297\) 25.0705 10.7826i 1.45474 0.625669i
\(298\) 5.77651 + 2.78772i 0.334624 + 0.161488i
\(299\) −5.34832 + 6.51695i −0.309301 + 0.376885i
\(300\) 17.1761 + 0.192198i 0.991661 + 0.0110965i
\(301\) −7.22997 + 13.5263i −0.416728 + 0.779644i
\(302\) 23.2843 + 21.4386i 1.33986 + 1.23365i
\(303\) −2.91934 4.32689i −0.167711 0.248573i
\(304\) 11.4312 + 23.1009i 0.655627 + 1.32493i
\(305\) −0.720955 1.74054i −0.0412817 0.0996629i
\(306\) 1.23096 + 24.4856i 0.0703695 + 1.39975i
\(307\) 1.45833 + 4.80745i 0.0832310 + 0.274376i 0.988671 0.150098i \(-0.0479590\pi\)
−0.905440 + 0.424474i \(0.860459\pi\)
\(308\) −22.5158 23.2333i −1.28296 1.32384i
\(309\) 13.9206 26.3275i 0.791918 1.49772i
\(310\) 12.2741 + 13.7576i 0.697121 + 0.781380i
\(311\) −1.79396 0.356841i −0.101726 0.0202346i 0.143965 0.989583i \(-0.454015\pi\)
−0.245691 + 0.969348i \(0.579015\pi\)
\(312\) 5.36288 10.8021i 0.303613 0.611549i
\(313\) −5.92394 29.7817i −0.334841 1.68336i −0.670924 0.741526i \(-0.734102\pi\)
0.336083 0.941832i \(-0.390898\pi\)
\(314\) 15.5232 2.17839i 0.876022 0.122934i
\(315\) 28.9919 3.11868i 1.63351 0.175718i
\(316\) −19.2606 16.3188i −1.08349 0.918007i
\(317\) 18.5829 + 22.6433i 1.04372 + 1.27177i 0.961396 + 0.275169i \(0.0887338\pi\)
0.0823227 + 0.996606i \(0.473766\pi\)
\(318\) 6.35369 + 13.5510i 0.356297 + 0.759900i
\(319\) −15.0020 −0.839950
\(320\) 22.8440 + 10.7473i 1.27702 + 0.600794i
\(321\) 22.5403 + 14.9149i 1.25808 + 0.832470i
\(322\) −12.7343 7.76899i −0.709653 0.432949i
\(323\) 28.7832 23.6217i 1.60154 1.31435i
\(324\) −11.3872 + 13.9403i −0.632624 + 0.774459i
\(325\) −3.54348 + 11.6813i −0.196557 + 0.647961i
\(326\) 18.4908 2.59484i 1.02411 0.143715i
\(327\) −16.2915 6.66259i −0.900922 0.368442i
\(328\) −5.24652 + 19.0341i −0.289691 + 1.05098i
\(329\) 4.03633 20.2920i 0.222530 1.11873i
\(330\) −40.1789 + 5.82254i −2.21178 + 0.320520i
\(331\) 21.3830 2.10604i 1.17531 0.115758i 0.508553 0.861031i \(-0.330181\pi\)
0.666760 + 0.745272i \(0.267681\pi\)
\(332\) −0.0719793 + 4.58975i −0.00395038 + 0.251895i
\(333\) 13.3134 + 15.9284i 0.729569 + 0.872872i
\(334\) −19.0894 6.99961i −1.04453 0.383002i
\(335\) −20.1962 + 8.36555i −1.10344 + 0.457059i
\(336\) 20.2464 + 6.74081i 1.10453 + 0.367741i
\(337\) −32.2663 13.3651i −1.75766 0.728045i −0.996871 0.0790409i \(-0.974814\pi\)
−0.760785 0.649004i \(-0.775186\pi\)
\(338\) −7.22001 6.64769i −0.392717 0.361586i
\(339\) −20.5166 + 11.0851i −1.11431 + 0.602061i
\(340\) 7.67525 35.6547i 0.416249 1.93365i
\(341\) −16.7725 13.7649i −0.908283 0.745409i
\(342\) 27.3066 + 1.31019i 1.47657 + 0.0708472i
\(343\) 7.72324 + 11.5587i 0.417016 + 0.624108i
\(344\) 0.360035 + 14.0799i 0.0194118 + 0.759135i
\(345\) −17.2614 + 7.24092i −0.929322 + 0.389838i
\(346\) −4.96971 + 19.2002i −0.267173 + 1.03221i
\(347\) 1.54476 + 2.89005i 0.0829273 + 0.155146i 0.919967 0.391997i \(-0.128216\pi\)
−0.837039 + 0.547143i \(0.815716\pi\)
\(348\) 8.77801 4.56641i 0.470551 0.244785i
\(349\) 15.6113 + 1.53758i 0.835655 + 0.0823049i 0.506787 0.862071i \(-0.330833\pi\)
0.328868 + 0.944376i \(0.393333\pi\)
\(350\) −21.3396 3.33662i −1.14065 0.178350i
\(351\) −7.24935 10.5392i −0.386942 0.562538i
\(352\) −28.5151 8.34309i −1.51986 0.444688i
\(353\) −5.29556 5.29556i −0.281854 0.281854i 0.551994 0.833848i \(-0.313867\pi\)
−0.833848 + 0.551994i \(0.813867\pi\)
\(354\) 6.30559 0.288610i 0.335138 0.0153395i
\(355\) 14.5012 + 1.42824i 0.769642 + 0.0758032i
\(356\) −5.20844 0.595588i −0.276047 0.0315661i
\(357\) 2.88379 30.6923i 0.152626 1.62441i
\(358\) −5.89870 10.0187i −0.311756 0.529505i
\(359\) −9.60483 6.41774i −0.506924 0.338716i 0.275666 0.961253i \(-0.411102\pi\)
−0.782590 + 0.622538i \(0.786102\pi\)
\(360\) 21.7373 15.6368i 1.14566 0.824133i
\(361\) −12.5116 18.7249i −0.658505 0.985523i
\(362\) −6.98273 + 2.43687i −0.367004 + 0.128079i
\(363\) 27.4513 8.46209i 1.44082 0.444144i
\(364\) −8.62166 + 12.4752i −0.451898 + 0.653879i
\(365\) 12.2017 22.8278i 0.638666 1.19486i
\(366\) −1.25175 0.755982i −0.0654303 0.0395158i
\(367\) 15.8620 + 6.57026i 0.827991 + 0.342965i 0.756107 0.654448i \(-0.227099\pi\)
0.0718837 + 0.997413i \(0.477099\pi\)
\(368\) −13.6918 0.429552i −0.713734 0.0223919i
\(369\) 14.9404 + 14.6743i 0.777766 + 0.763915i
\(370\) −12.9847 28.0201i −0.675041 1.45670i
\(371\) −5.46292 18.0088i −0.283621 0.934973i
\(372\) 14.0038 + 2.94880i 0.726065 + 0.152888i
\(373\) 20.8368 2.05224i 1.07889 0.106261i 0.457075 0.889428i \(-0.348897\pi\)
0.621811 + 0.783167i \(0.286397\pi\)
\(374\) −2.44211 + 42.8519i −0.126279 + 2.21582i
\(375\) 0.159226 0.160662i 0.00822237 0.00829657i
\(376\) −5.97821 18.0344i −0.308303 0.930054i
\(377\) 1.37181 + 6.89656i 0.0706519 + 0.355191i
\(378\) 16.6844 15.2940i 0.858153 0.786638i
\(379\) 2.97705 9.81402i 0.152921 0.504112i −0.846688 0.532090i \(-0.821407\pi\)
0.999609 + 0.0279778i \(0.00890677\pi\)
\(380\) −38.7276 12.4143i −1.98668 0.636839i
\(381\) 0.500851 + 4.86127i 0.0256594 + 0.249050i
\(382\) −19.2790 + 4.66880i −0.986398 + 0.238877i
\(383\) 12.3062 0.628817 0.314409 0.949288i \(-0.398194\pi\)
0.314409 + 0.949288i \(0.398194\pi\)
\(384\) 19.2244 3.79788i 0.981039 0.193810i
\(385\) 51.0493 2.60172
\(386\) −25.8360 + 6.25673i −1.31502 + 0.318459i
\(387\) 13.2376 + 6.92347i 0.672905 + 0.351940i
\(388\) 9.37217 29.2374i 0.475800 1.48430i
\(389\) −1.92738 + 6.35371i −0.0977218 + 0.322146i −0.992148 0.125070i \(-0.960084\pi\)
0.894426 + 0.447216i \(0.147584\pi\)
\(390\) 6.35071 + 17.9382i 0.321581 + 0.908336i
\(391\) 3.86076 + 19.4093i 0.195247 + 0.981572i
\(392\) −6.28537 3.15574i −0.317459 0.159389i
\(393\) 0.958730 + 0.950155i 0.0483615 + 0.0479290i
\(394\) −0.336878 + 5.91121i −0.0169717 + 0.297803i
\(395\) 39.6403 3.90423i 1.99452 0.196443i
\(396\) −22.4317 + 22.1332i −1.12723 + 1.11223i
\(397\) −0.349053 1.15067i −0.0175184 0.0577506i 0.947745 0.319028i \(-0.103356\pi\)
−0.965264 + 0.261277i \(0.915856\pi\)
\(398\) 3.79023 + 8.17909i 0.189987 + 0.409981i
\(399\) −33.7445 6.55476i −1.68934 0.328149i
\(400\) −18.5537 + 7.01197i −0.927683 + 0.350599i
\(401\) 0.833738 + 0.345346i 0.0416349 + 0.0172457i 0.403404 0.915022i \(-0.367827\pi\)
−0.361769 + 0.932268i \(0.617827\pi\)
\(402\) −8.77199 + 14.5247i −0.437507 + 0.724424i
\(403\) −4.79412 + 8.96917i −0.238812 + 0.446786i
\(404\) 4.95823 + 3.42665i 0.246681 + 0.170482i
\(405\) −3.29122 28.2102i −0.163542 1.40178i
\(406\) −11.7470 + 4.09954i −0.582994 + 0.203457i
\(407\) 20.1917 + 30.2190i 1.00086 + 1.49790i
\(408\) −11.6146 25.8170i −0.575009 1.27813i
\(409\) −3.28096 2.19227i −0.162233 0.108401i 0.471804 0.881704i \(-0.343603\pi\)
−0.634037 + 0.773303i \(0.718603\pi\)
\(410\) −15.8060 26.8458i −0.780601 1.32582i
\(411\) −23.0530 2.16601i −1.13712 0.106841i
\(412\) −3.90687 + 34.1657i −0.192478 + 1.68322i
\(413\) −7.89883 0.777967i −0.388676 0.0382812i
\(414\) −7.45539 + 12.4709i −0.366412 + 0.612910i
\(415\) −5.12149 5.12149i −0.251404 0.251404i
\(416\) −1.22792 + 13.8716i −0.0602039 + 0.680109i
\(417\) 1.81188 + 8.89982i 0.0887282 + 0.435826i
\(418\) 47.2864 + 7.39363i 2.31285 + 0.361634i
\(419\) −21.4426 2.11191i −1.04754 0.103173i −0.440425 0.897789i \(-0.645172\pi\)
−0.607112 + 0.794616i \(0.707672\pi\)
\(420\) −29.8701 + 15.5387i −1.45751 + 0.758213i
\(421\) 0.138491 + 0.259099i 0.00674966 + 0.0126277i 0.885273 0.465071i \(-0.153971\pi\)
−0.878524 + 0.477699i \(0.841471\pi\)
\(422\) −4.85885 + 18.7719i −0.236525 + 0.913802i
\(423\) −19.7993 3.75373i −0.962674 0.182513i
\(424\) −12.5285 11.9038i −0.608439 0.578098i
\(425\) 15.9192 + 23.8248i 0.772197 + 1.15567i
\(426\) 9.72062 5.78216i 0.470965 0.280146i
\(427\) 1.42138 + 1.16649i 0.0687852 + 0.0564505i
\(428\) −30.5105 6.56788i −1.47478 0.317471i
\(429\) −10.6453 19.7026i −0.513961 0.951250i
\(430\) −16.3489 15.0529i −0.788414 0.725917i
\(431\) 29.3205 + 12.1449i 1.41232 + 0.585001i 0.952918 0.303228i \(-0.0980643\pi\)
0.459400 + 0.888229i \(0.348064\pi\)
\(432\) 6.38823 19.7785i 0.307354 0.951595i
\(433\) −12.5102 + 5.18191i −0.601204 + 0.249027i −0.662462 0.749095i \(-0.730489\pi\)
0.0612585 + 0.998122i \(0.480489\pi\)
\(434\) −16.8948 6.19492i −0.810978 0.297366i
\(435\) −4.46492 + 14.9605i −0.214077 + 0.717300i
\(436\) 20.3217 + 0.318697i 0.973231 + 0.0152628i
\(437\) 21.9608 2.16295i 1.05053 0.103468i
\(438\) −2.88145 19.8837i −0.137681 0.950079i
\(439\) −5.35055 + 26.8990i −0.255368 + 1.28382i 0.613863 + 0.789413i \(0.289615\pi\)
−0.869230 + 0.494407i \(0.835385\pi\)
\(440\) 40.7654 23.1483i 1.94341 1.10355i
\(441\) −6.16506 + 4.19996i −0.293574 + 0.199998i
\(442\) 19.9227 2.79579i 0.947627 0.132982i
\(443\) −8.30126 + 27.3656i −0.394405 + 1.30018i 0.505022 + 0.863107i \(0.331484\pi\)
−0.899427 + 0.437072i \(0.856016\pi\)
\(444\) −21.0129 11.5357i −0.997227 0.547462i
\(445\) 6.39416 5.24755i 0.303112 0.248758i
\(446\) −6.99358 4.26668i −0.331155 0.202033i
\(447\) −4.33491 + 6.55117i −0.205034 + 0.309860i
\(448\) −24.6080 + 1.25932i −1.16262 + 0.0594975i
\(449\) −13.8203 −0.652222 −0.326111 0.945332i \(-0.605738\pi\)
−0.326111 + 0.945332i \(0.605738\pi\)
\(450\) −3.06307 + 20.8134i −0.144394 + 0.981155i
\(451\) 23.2586 + 28.3407i 1.09520 + 1.33451i
\(452\) 17.4068 20.5447i 0.818748 0.966341i
\(453\) −29.8543 + 24.7261i −1.40268 + 1.16173i
\(454\) 9.45732 1.32716i 0.443854 0.0622869i
\(455\) −4.66805 23.4679i −0.218841 1.10019i
\(456\) −29.9189 + 10.0672i −1.40108 + 0.471438i
\(457\) −10.8160 2.15144i −0.505953 0.100640i −0.0644874 0.997919i \(-0.520541\pi\)
−0.441466 + 0.897278i \(0.645541\pi\)
\(458\) −4.64505 5.20649i −0.217049 0.243283i
\(459\) −29.9189 2.54017i −1.39649 0.118565i
\(460\) 15.5215 15.0422i 0.723692 0.701344i
\(461\) −9.72637 32.0636i −0.453002 1.49335i −0.825010 0.565119i \(-0.808830\pi\)
0.372007 0.928230i \(-0.378670\pi\)
\(462\) 31.9057 23.4977i 1.48439 1.09321i
\(463\) 3.99207 + 9.63771i 0.185527 + 0.447902i 0.989089 0.147319i \(-0.0470644\pi\)
−0.803562 + 0.595221i \(0.797064\pi\)
\(464\) −7.52161 + 8.60036i −0.349182 + 0.399262i
\(465\) −18.7186 + 12.6294i −0.868055 + 0.585673i
\(466\) −22.3183 20.5492i −1.03388 0.951923i
\(467\) 6.71165 12.5566i 0.310578 0.581051i −0.677405 0.735610i \(-0.736896\pi\)
0.987984 + 0.154559i \(0.0493956\pi\)
\(468\) 12.2260 + 8.28814i 0.565148 + 0.383120i
\(469\) 13.5353 16.4928i 0.625003 0.761569i
\(470\) 26.9990 + 13.0296i 1.24537 + 0.601009i
\(471\) 0.0862371 + 19.1980i 0.00397360 + 0.884597i
\(472\) −6.66037 + 2.96048i −0.306568 + 0.136267i
\(473\) 21.7459 + 14.5301i 0.999877 + 0.668097i
\(474\) 22.9780 20.6863i 1.05541 0.950154i
\(475\) 28.1787 15.0618i 1.29293 0.691083i
\(476\) 9.79772 + 34.2216i 0.449078 + 1.56855i
\(477\) −17.4924 + 5.47835i −0.800923 + 0.250836i
\(478\) 8.02834 + 1.25530i 0.367208 + 0.0574161i
\(479\) 5.24780 + 5.24780i 0.239778 + 0.239778i 0.816758 0.576980i \(-0.195769\pi\)
−0.576980 + 0.816758i \(0.695769\pi\)
\(480\) −16.8067 + 25.9531i −0.767118 + 1.18459i
\(481\) 12.0456 12.0456i 0.549232 0.549232i
\(482\) 8.86369 6.46666i 0.403730 0.294548i
\(483\) 11.5266 14.1745i 0.524477 0.644963i
\(484\) −25.9674 + 20.6381i −1.18034 + 0.938094i
\(485\) 22.8368 + 42.7246i 1.03696 + 1.94002i
\(486\) −15.0420 16.1164i −0.682319 0.731055i
\(487\) 24.4690 36.6204i 1.10880 1.65943i 0.500409 0.865789i \(-0.333183\pi\)
0.608387 0.793640i \(-0.291817\pi\)
\(488\) 1.66398 + 0.286978i 0.0753250 + 0.0129909i
\(489\) 0.102723 + 22.8681i 0.00464531 + 1.03413i
\(490\) 10.4776 3.65652i 0.473328 0.165185i
\(491\) 6.66959 + 5.47359i 0.300994 + 0.247020i 0.772751 0.634709i \(-0.218880\pi\)
−0.471757 + 0.881729i \(0.656380\pi\)
\(492\) −22.2357 9.50318i −1.00246 0.428436i
\(493\) 14.5568 + 7.78077i 0.655606 + 0.350428i
\(494\) −0.925032 22.4141i −0.0416192 1.00846i
\(495\) −0.446700 49.7209i −0.0200777 2.23479i
\(496\) −16.3004 + 2.71403i −0.731911 + 0.121864i
\(497\) −13.1392 + 5.44245i −0.589375 + 0.244127i
\(498\) −5.55832 0.843531i −0.249074 0.0377995i
\(499\) 17.4979 5.30794i 0.783315 0.237616i 0.126799 0.991928i \(-0.459530\pi\)
0.656516 + 0.754312i \(0.272030\pi\)
\(500\) −0.103725 + 0.239711i −0.00463871 + 0.0107202i
\(501\) 11.6399 22.0139i 0.520031 0.983510i
\(502\) −0.695928 + 12.2115i −0.0310608 + 0.545025i
\(503\) −0.980585 + 4.92973i −0.0437221 + 0.219806i −0.996469 0.0839586i \(-0.973244\pi\)
0.952747 + 0.303765i \(0.0982436\pi\)
\(504\) −11.5164 + 23.4607i −0.512981 + 1.04502i
\(505\) −9.32722 + 1.85530i −0.415056 + 0.0825598i
\(506\) −15.3125 + 20.3117i −0.680723 + 0.902965i
\(507\) 9.25724 7.66707i 0.411128 0.340506i
\(508\) −2.58174 5.01780i −0.114546 0.222629i
\(509\) −22.8857 + 18.7818i −1.01439 + 0.832488i −0.985939 0.167107i \(-0.946557\pi\)
−0.0284507 + 0.999595i \(0.509057\pi\)
\(510\) 42.0064 + 15.1890i 1.86008 + 0.672581i
\(511\) 25.2632i 1.11758i
\(512\) −19.0797 + 12.1642i −0.843210 + 0.537585i
\(513\) −6.08891 + 32.9237i −0.268832 + 1.45362i
\(514\) −39.0580 + 9.45870i −1.72278 + 0.417205i
\(515\) −34.4223 41.9437i −1.51683 1.84826i
\(516\) −17.1468 1.88276i −0.754846 0.0828838i
\(517\) −33.7611 10.2413i −1.48481 0.450413i
\(518\) 24.0685 + 18.1446i 1.05751 + 0.797230i
\(519\) −22.4828 9.19460i −0.986887 0.403598i
\(520\) −14.3692 16.6235i −0.630130 0.728989i
\(521\) 5.15457 + 1.02531i 0.225826 + 0.0449196i 0.306706 0.951804i \(-0.400773\pi\)
−0.0808802 + 0.996724i \(0.525773\pi\)
\(522\) 4.09565 + 11.4054i 0.179262 + 0.499203i
\(523\) −0.371786 3.77481i −0.0162571 0.165061i 0.983628 0.180210i \(-0.0576777\pi\)
−0.999885 + 0.0151491i \(0.995178\pi\)
\(524\) −1.43044 0.618962i −0.0624891 0.0270395i
\(525\) 7.56513 25.3482i 0.330169 1.10629i
\(526\) 11.6569 + 25.1548i 0.508264 + 1.09680i
\(527\) 9.13566 + 22.0554i 0.397956 + 0.960750i
\(528\) 14.8232 33.2317i 0.645098 1.44623i
\(529\) 4.31357 10.4139i 0.187547 0.452778i
\(530\) 27.2453 1.12442i 1.18346 0.0488415i
\(531\) −0.688605 + 7.70009i −0.0298829 + 0.334155i
\(532\) 39.0470 7.13233i 1.69290 0.309226i
\(533\) 10.9017 13.2837i 0.472204 0.575382i
\(534\) 1.58092 6.22290i 0.0684132 0.269291i
\(535\) 40.9450 27.3586i 1.77021 1.18282i
\(536\) 3.32993 19.3079i 0.143831 0.833976i
\(537\) 13.1307 5.50812i 0.566629 0.237693i
\(538\) 0.443297 + 0.752922i 0.0191119 + 0.0324608i
\(539\) −11.5178 + 6.15637i −0.496105 + 0.265173i
\(540\) 15.3958 + 28.9569i 0.662528 + 1.24611i
\(541\) −3.15522 + 32.0355i −0.135653 + 1.37731i 0.650606 + 0.759416i \(0.274515\pi\)
−0.786259 + 0.617897i \(0.787985\pi\)
\(542\) −24.1031 33.0375i −1.03531 1.41908i
\(543\) −1.80699 8.87581i −0.0775455 0.380897i
\(544\) 23.3418 + 22.8848i 1.00077 + 0.981179i
\(545\) −22.6760 + 22.6760i −0.971334 + 0.971334i
\(546\) −13.7196 12.5187i −0.587146 0.535751i
\(547\) 2.30189 23.3715i 0.0984216 0.999291i −0.811456 0.584414i \(-0.801325\pi\)
0.909877 0.414877i \(-0.136175\pi\)
\(548\) 25.7038 7.35905i 1.09801 0.314363i
\(549\) 1.12370 1.39460i 0.0479584 0.0595199i
\(550\) −9.22900 + 35.6558i −0.393526 + 1.52037i
\(551\) 10.2254 15.3035i 0.435619 0.651949i
\(552\) 2.77708 16.5458i 0.118200 0.704234i
\(553\) −32.3247 + 21.5987i −1.37459 + 0.918469i
\(554\) 5.67318 11.7556i 0.241030 0.499446i
\(555\) 36.1448 11.1420i 1.53426 0.472950i
\(556\) −5.68905 8.81027i −0.241270 0.373639i
\(557\) −22.5120 12.0329i −0.953866 0.509852i −0.0804134 0.996762i \(-0.525624\pi\)
−0.873452 + 0.486910i \(0.838124\pi\)
\(558\) −5.88588 + 16.5094i −0.249169 + 0.698899i
\(559\) 4.69116 11.3255i 0.198415 0.479016i
\(560\) 25.5948 29.2656i 1.08158 1.23670i
\(561\) −51.6032 10.0238i −2.17869 0.423204i
\(562\) −0.841777 0.308659i −0.0355082 0.0130200i
\(563\) −19.6369 + 5.95678i −0.827596 + 0.251048i −0.675540 0.737323i \(-0.736089\pi\)
−0.152056 + 0.988372i \(0.548589\pi\)
\(564\) 22.8717 4.28400i 0.963074 0.180389i
\(565\) 4.16452 + 42.2831i 0.175203 + 1.77886i
\(566\) −28.4685 + 25.3986i −1.19662 + 1.06758i
\(567\) 15.8122 + 22.7681i 0.664049 + 0.956172i
\(568\) −8.02443 + 10.3040i −0.336698 + 0.432348i
\(569\) 10.5240 2.09336i 0.441191 0.0877583i 0.0305036 0.999535i \(-0.490289\pi\)
0.410687 + 0.911776i \(0.365289\pi\)
\(570\) 21.4466 44.9550i 0.898300 1.88296i
\(571\) 25.4918 + 7.73284i 1.06680 + 0.323609i 0.774406 0.632689i \(-0.218049\pi\)
0.292391 + 0.956299i \(0.405549\pi\)
\(572\) 19.7296 + 16.7162i 0.824934 + 0.698939i
\(573\) −2.48984 24.1664i −0.104015 1.00957i
\(574\) 25.9567 + 15.8358i 1.08341 + 0.660973i
\(575\) 16.9814i 0.708174i
\(576\) 1.44188 + 23.9566i 0.0600785 + 0.998194i
\(577\) 29.2265i 1.21672i −0.793663 0.608358i \(-0.791829\pi\)
0.793663 0.608358i \(-0.208171\pi\)
\(578\) 12.0736 19.7900i 0.502194 0.823154i
\(579\) −3.33667 32.3858i −0.138667 1.34591i
\(580\) −1.48549 17.9665i −0.0616816 0.746018i
\(581\) 6.76475 + 2.05206i 0.280649 + 0.0851340i
\(582\) 33.9388 + 16.1911i 1.40681 + 0.671145i
\(583\) −31.4743 + 6.26063i −1.30353 + 0.259289i
\(584\) 11.4556 + 20.1739i 0.474037 + 0.834802i
\(585\) −22.8163 + 4.75193i −0.943339 + 0.196468i
\(586\) 6.35288 + 7.12074i 0.262435 + 0.294155i
\(587\) −1.84492 18.7318i −0.0761479 0.773142i −0.955110 0.296251i \(-0.904264\pi\)
0.878962 0.476891i \(-0.158236\pi\)
\(588\) 4.86538 7.10808i 0.200645 0.293132i
\(589\) 25.4737 7.72737i 1.04963 0.318401i
\(590\) 3.95920 10.7976i 0.162998 0.444529i
\(591\) −7.11842 1.38273i −0.292813 0.0568780i
\(592\) 27.4476 + 3.57551i 1.12809 + 0.146952i
\(593\) 14.3431 34.6274i 0.589002 1.42198i −0.295456 0.955356i \(-0.595472\pi\)
0.884458 0.466620i \(-0.154528\pi\)
\(594\) −23.1654 30.8699i −0.950489 1.26661i
\(595\) −49.5344 26.4767i −2.03071 1.08544i
\(596\) 1.90891 8.86764i 0.0781918 0.363233i
\(597\) −10.5507 + 3.25234i −0.431811 + 0.133110i
\(598\) 10.7377 + 5.18195i 0.439096 + 0.211906i
\(599\) −4.66645 + 3.11802i −0.190666 + 0.127399i −0.647239 0.762287i \(-0.724077\pi\)
0.456573 + 0.889686i \(0.349077\pi\)
\(600\) −5.45304 23.6722i −0.222620 0.966414i
\(601\) 11.7208 17.5415i 0.478102 0.715531i −0.511512 0.859276i \(-0.670915\pi\)
0.989615 + 0.143745i \(0.0459145\pi\)
\(602\) 20.9983 + 5.43511i 0.855825 + 0.221519i
\(603\) −16.1821 13.0388i −0.658986 0.530981i
\(604\) 21.7166 39.1399i 0.883635 1.59258i
\(605\) 5.12997 52.0855i 0.208563 2.11758i
\(606\) −4.97551 + 5.45283i −0.202116 + 0.221506i
\(607\) −1.25020 + 1.25020i −0.0507440 + 0.0507440i −0.732023 0.681279i \(-0.761424\pi\)
0.681279 + 0.732023i \(0.261424\pi\)
\(608\) 27.9468 23.4014i 1.13339 0.949052i
\(609\) −3.03989 14.9317i −0.123183 0.605064i
\(610\) −2.15236 + 1.57029i −0.0871467 + 0.0635794i
\(611\) −1.62085 + 16.4568i −0.0655727 + 0.665771i
\(612\) 33.2453 9.84221i 1.34386 0.397848i
\(613\) 0.134094 0.0716747i 0.00541600 0.00289491i −0.468687 0.883365i \(-0.655273\pi\)
0.474103 + 0.880470i \(0.342773\pi\)
\(614\) 6.12235 3.60465i 0.247078 0.145472i
\(615\) 35.1845 14.7594i 1.41878 0.595157i
\(616\) −24.4391 + 38.6810i −0.984681 + 1.55850i
\(617\) 0.879742 0.587825i 0.0354171 0.0236649i −0.537736 0.843113i \(-0.680720\pi\)
0.573153 + 0.819449i \(0.305720\pi\)
\(618\) −40.8203 10.3703i −1.64203 0.417157i
\(619\) −4.89894 + 5.96937i −0.196905 + 0.239929i −0.862097 0.506743i \(-0.830849\pi\)
0.665193 + 0.746672i \(0.268349\pi\)
\(620\) 14.8241 21.4499i 0.595349 0.861448i
\(621\) −13.9065 11.1026i −0.558049 0.445531i
\(622\) 0.106665 + 2.58455i 0.00427686 + 0.103631i
\(623\) −3.08953 + 7.45880i −0.123780 + 0.298830i
\(624\) −16.6324 3.77561i −0.665829 0.151145i
\(625\) −9.64561 23.2866i −0.385825 0.931463i
\(626\) −38.9626 + 18.0555i −1.55726 + 0.721641i
\(627\) −16.7636 + 56.1692i −0.669474 + 2.24318i
\(628\) −8.16119 20.6112i −0.325667 0.822477i
\(629\) −3.91943 39.7946i −0.156278 1.58672i
\(630\) −13.9368 38.8109i −0.555256 1.54626i
\(631\) 8.22732 + 1.63652i 0.327524 + 0.0651487i 0.356114 0.934443i \(-0.384102\pi\)
−0.0285894 + 0.999591i \(0.509102\pi\)
\(632\) −16.0189 + 31.9052i −0.637198 + 1.26912i
\(633\) −21.9813 8.98949i −0.873678 0.357300i
\(634\) 24.9374 33.0789i 0.990389 1.31373i
\(635\) 8.52052 + 2.58467i 0.338126 + 0.102570i
\(636\) 16.5107 13.2436i 0.654691 0.525143i
\(637\) 3.88334 + 4.73187i 0.153864 + 0.187483i
\(638\) 4.99355 + 20.6200i 0.197697 + 0.816353i
\(639\) 5.41580 + 12.7497i 0.214246 + 0.504370i
\(640\) 7.16819 34.9760i 0.283348 1.38255i
\(641\) 36.3453i 1.43555i 0.696273 + 0.717777i \(0.254840\pi\)
−0.696273 + 0.717777i \(0.745160\pi\)
\(642\) 12.9976 35.9458i 0.512973 1.41867i
\(643\) −19.8147 + 16.2615i −0.781416 + 0.641292i −0.938103 0.346357i \(-0.887419\pi\)
0.156687 + 0.987648i \(0.449919\pi\)
\(644\) −6.43962 + 20.0890i −0.253757 + 0.791619i
\(645\) 20.9620 17.3612i 0.825377 0.683597i
\(646\) −42.0484 31.6993i −1.65437 1.24719i
\(647\) −16.5485 + 3.29170i −0.650589 + 0.129410i −0.509342 0.860564i \(-0.670111\pi\)
−0.141247 + 0.989974i \(0.545111\pi\)
\(648\) 22.9510 + 11.0114i 0.901601 + 0.432569i
\(649\) −2.64044 + 13.2744i −0.103646 + 0.521065i
\(650\) 17.2352 + 0.982229i 0.676021 + 0.0385262i
\(651\) 10.3017 19.4832i 0.403756 0.763606i
\(652\) −9.72139 24.5515i −0.380719 0.961512i
\(653\) 38.4737 11.6709i 1.50559 0.456716i 0.573582 0.819148i \(-0.305553\pi\)
0.932010 + 0.362432i \(0.118053\pi\)
\(654\) −3.73483 + 24.6101i −0.146044 + 0.962332i
\(655\) 2.27208 0.941126i 0.0887775 0.0367728i
\(656\) 27.9084 + 0.875570i 1.08964 + 0.0341853i
\(657\) 24.6058 0.221062i 0.959964 0.00862446i
\(658\) −29.2346 + 1.20651i −1.13968 + 0.0470348i
\(659\) 17.4444 + 9.32423i 0.679538 + 0.363220i 0.774778 0.632234i \(-0.217862\pi\)
−0.0952400 + 0.995454i \(0.530362\pi\)
\(660\) 21.3769 + 53.2871i 0.832095 + 2.07420i
\(661\) 14.4894 + 11.8911i 0.563572 + 0.462511i 0.872527 0.488565i \(-0.162479\pi\)
−0.308956 + 0.951076i \(0.599979\pi\)
\(662\) −10.0122 28.6895i −0.389136 1.11505i
\(663\) 0.110678 + 24.6391i 0.00429839 + 0.956903i
\(664\) 6.33249 1.42881i 0.245748 0.0554484i
\(665\) −34.7955 + 52.0752i −1.34931 + 2.01939i
\(666\) 17.4619 23.6009i 0.676634 0.914518i
\(667\) 4.61119 + 8.62694i 0.178546 + 0.334036i
\(668\) −3.26676 + 28.5679i −0.126395 + 1.10533i
\(669\) 6.33031 7.78455i 0.244744 0.300968i
\(670\) 18.2208 + 24.9748i 0.703932 + 0.964862i
\(671\) 2.21712 2.21712i 0.0855910 0.0855910i
\(672\) 2.52592 30.0721i 0.0974395 1.16006i
\(673\) −13.8769 13.8769i −0.534914 0.534914i 0.387117 0.922031i \(-0.373471\pi\)
−0.922031 + 0.387117i \(0.873471\pi\)
\(674\) −7.63002 + 48.7982i −0.293897 + 1.87964i
\(675\) −24.7548 7.14646i −0.952813 0.275067i
\(676\) −6.73389 + 12.1365i −0.258996 + 0.466789i
\(677\) −32.1756 + 17.1982i −1.23661 + 0.660980i −0.954445 0.298387i \(-0.903552\pi\)
−0.282162 + 0.959367i \(0.591052\pi\)
\(678\) 22.0655 + 24.5099i 0.847419 + 0.941299i
\(679\) −39.3142 26.2689i −1.50874 1.00811i
\(680\) −51.5615 + 1.31848i −1.97729 + 0.0505613i
\(681\) 0.0525391 + 11.6962i 0.00201330 + 0.448199i
\(682\) −13.3367 + 27.6353i −0.510688 + 1.05821i
\(683\) −12.1740 + 14.8341i −0.465825 + 0.567609i −0.951940 0.306286i \(-0.900914\pi\)
0.486115 + 0.873895i \(0.338414\pi\)
\(684\) −7.28841 37.9685i −0.278679 1.45176i
\(685\) −19.8866 + 37.2052i −0.759828 + 1.42154i
\(686\) 13.3164 14.4629i 0.508423 0.552195i
\(687\) 7.08395 4.77951i 0.270269 0.182350i
\(688\) 19.2327 5.18147i 0.733239 0.197542i
\(689\) 5.75614 + 13.8965i 0.219291 + 0.529416i
\(690\) 15.6981 + 21.3153i 0.597618 + 0.811460i
\(691\) −2.65424 8.74984i −0.100972 0.332860i 0.891871 0.452291i \(-0.149393\pi\)
−0.992843 + 0.119431i \(0.961893\pi\)
\(692\) 28.0446 + 0.439813i 1.06610 + 0.0167192i
\(693\) 23.2605 + 42.5925i 0.883595 + 1.61796i
\(694\) 3.45814 3.08523i 0.131269 0.117114i
\(695\) 16.2298 + 3.22830i 0.615631 + 0.122457i
\(696\) −9.19830 10.5453i −0.348661 0.399717i
\(697\) −7.86951 39.5627i −0.298079 1.49854i
\(698\) −3.08300 21.9693i −0.116693 0.831551i
\(699\) 28.6158 23.7003i 1.08235 0.896427i
\(700\) 2.51693 + 30.4415i 0.0951312 + 1.15058i
\(701\) 15.9718 + 19.4617i 0.603248 + 0.735059i 0.981673 0.190572i \(-0.0610344\pi\)
−0.378425 + 0.925632i \(0.623534\pi\)
\(702\) −12.0729 + 13.4722i −0.455661 + 0.508474i
\(703\) −44.5890 −1.68171
\(704\) −1.97592 + 41.9706i −0.0744704 + 1.58183i
\(705\) −20.2610 + 30.6196i −0.763074 + 1.15320i
\(706\) −5.51598 + 9.04133i −0.207597 + 0.340275i
\(707\) 7.17495 5.88833i 0.269842 0.221454i
\(708\) −2.49556 8.57086i −0.0937890 0.322113i
\(709\) 5.69038 18.7587i 0.213707 0.704496i −0.782897 0.622151i \(-0.786259\pi\)
0.996604 0.0823451i \(-0.0262410\pi\)
\(710\) −2.86376 20.4070i −0.107475 0.765862i
\(711\) 21.3195 + 31.2945i 0.799543 + 1.17364i
\(712\) 0.915051 + 7.35716i 0.0342930 + 0.275721i
\(713\) −2.76011 + 13.8760i −0.103367 + 0.519661i
\(714\) −43.1460 + 6.25251i −1.61470 + 0.233994i
\(715\) −40.6055 + 3.99929i −1.51856 + 0.149565i
\(716\) −11.8071 + 11.4425i −0.441252 + 0.427626i
\(717\) −2.84614 + 9.53648i −0.106291 + 0.356146i
\(718\) −5.62402 + 15.3379i −0.209887 + 0.572405i
\(719\) −24.2564 + 10.0473i −0.904609 + 0.374701i −0.785991 0.618238i \(-0.787847\pi\)
−0.118619 + 0.992940i \(0.537847\pi\)
\(720\) −28.7280 24.6727i −1.07063 0.919497i
\(721\) 48.9274 + 20.2664i 1.82215 + 0.754759i
\(722\) −21.5725 + 23.4298i −0.802845 + 0.871965i
\(723\) 6.38770 + 11.8225i 0.237561 + 0.439683i
\(724\) 5.67371 + 8.78651i 0.210862 + 0.326548i
\(725\) 10.9486 + 8.98529i 0.406621 + 0.333705i
\(726\) −20.7684 34.9146i −0.770788 1.29580i
\(727\) −12.3683 18.5105i −0.458717 0.686518i 0.527949 0.849276i \(-0.322961\pi\)
−0.986666 + 0.162758i \(0.947961\pi\)
\(728\) 20.0168 + 7.69784i 0.741871 + 0.285301i
\(729\) 22.0373 15.5999i 0.816196 0.577775i
\(730\) −35.4378 9.17259i −1.31161 0.339493i
\(731\) −13.5645 25.3774i −0.501702 0.938619i
\(732\) −0.622427 + 1.97215i −0.0230055 + 0.0728928i
\(733\) 18.0145 + 1.77427i 0.665381 + 0.0655343i 0.425068 0.905161i \(-0.360250\pi\)
0.240313 + 0.970696i \(0.422750\pi\)
\(734\) 3.75090 23.9891i 0.138448 0.885452i
\(735\) 2.71139 + 13.3181i 0.100011 + 0.491247i
\(736\) 3.96703 + 18.9621i 0.146227 + 0.698953i
\(737\) −25.7262 25.7262i −0.947638 0.947638i
\(738\) 15.1966 25.4198i 0.559394 0.935716i
\(739\) 5.00983 + 0.493425i 0.184290 + 0.0181509i 0.189741 0.981834i \(-0.439235\pi\)
−0.00545127 + 0.999985i \(0.501735\pi\)
\(740\) −34.1911 + 27.1740i −1.25689 + 0.998935i
\(741\) 27.3544 + 2.57016i 1.00489 + 0.0944173i
\(742\) −22.9345 + 13.5031i −0.841951 + 0.495715i
\(743\) −6.89275 4.60559i −0.252871 0.168963i 0.422674 0.906282i \(-0.361091\pi\)
−0.675545 + 0.737319i \(0.736091\pi\)
\(744\) −0.608230 20.2296i −0.0222988 0.741652i
\(745\) 7.95157 + 11.9004i 0.291323 + 0.435996i
\(746\) −9.75648 27.9567i −0.357210 1.02357i
\(747\) 1.93947 6.60667i 0.0709615 0.241726i
\(748\) 59.7121 10.9070i 2.18329 0.398800i
\(749\) −22.6567 + 42.3877i −0.827858 + 1.54881i
\(750\) −0.273828 0.165375i −0.00999877 0.00603864i
\(751\) −14.7936 6.12769i −0.539825 0.223603i 0.0960755 0.995374i \(-0.469371\pi\)
−0.635900 + 0.771771i \(0.719371\pi\)
\(752\) −22.7981 + 14.2199i −0.831362 + 0.518546i
\(753\) −14.7054 2.85647i −0.535893 0.104096i
\(754\) 9.02259 4.18112i 0.328583 0.152267i
\(755\) 20.5018 + 67.5855i 0.746139 + 2.45969i
\(756\) −26.5749 17.8417i −0.966519 0.648896i
\(757\) 3.16056 0.311288i 0.114872 0.0113139i −0.0404176 0.999183i \(-0.512869\pi\)
0.155290 + 0.987869i \(0.450369\pi\)
\(758\) −14.4801 0.825218i −0.525943 0.0299733i
\(759\) −22.1277 21.9298i −0.803186 0.796003i
\(760\) −4.17240 + 57.3626i −0.151349 + 2.08076i
\(761\) −7.90275 39.7298i −0.286474 1.44020i −0.809115 0.587651i \(-0.800053\pi\)
0.522640 0.852553i \(-0.324947\pi\)
\(762\) 6.51502 2.30653i 0.236014 0.0835567i
\(763\) 9.08576 29.9517i 0.328927 1.08433i
\(764\) 12.8344 + 24.9446i 0.464331 + 0.902463i
\(765\) −25.3543 + 48.4771i −0.916686 + 1.75269i
\(766\) −4.09623 16.9147i −0.148003 0.611151i
\(767\) 6.34380 0.229061
\(768\) −11.6191 25.1594i −0.419269 0.907862i
\(769\) 9.68387 0.349209 0.174605 0.984639i \(-0.444135\pi\)
0.174605 + 0.984639i \(0.444135\pi\)
\(770\) −16.9922 70.1665i −0.612358 2.52862i
\(771\) −5.04426 48.9597i −0.181665 1.76324i
\(772\) 17.1995 + 33.4286i 0.619025 + 1.20312i
\(773\) 8.40902 27.7208i 0.302452 0.997049i