Properties

Label 177.3.h.a.5.15
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.15
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.322077 + 0.955892i) q^{2} +(-0.589478 - 2.94152i) q^{3} +(2.37438 + 1.80495i) q^{4} +(5.46847 + 2.17884i) q^{5} +(3.00163 + 0.383919i) q^{6} +(3.90866 - 1.80834i) q^{7} +(-5.82961 + 3.95258i) q^{8} +(-8.30503 + 3.46792i) q^{9} +O(q^{10})\) \(q+(-0.322077 + 0.955892i) q^{2} +(-0.589478 - 2.94152i) q^{3} +(2.37438 + 1.80495i) q^{4} +(5.46847 + 2.17884i) q^{5} +(3.00163 + 0.383919i) q^{6} +(3.90866 - 1.80834i) q^{7} +(-5.82961 + 3.95258i) q^{8} +(-8.30503 + 3.46792i) q^{9} +(-3.84400 + 4.52551i) q^{10} +(0.609271 + 0.169163i) q^{11} +(3.90966 - 8.04825i) q^{12} +(5.83434 - 11.0047i) q^{13} +(0.469685 + 4.31868i) q^{14} +(3.18554 - 17.3700i) q^{15} +(1.29100 + 4.64978i) q^{16} +(-10.1910 + 22.0274i) q^{17} +(-0.640088 - 9.05565i) q^{18} +(35.3427 - 7.77951i) q^{19} +(9.05150 + 15.0437i) q^{20} +(-7.62332 - 10.4314i) q^{21} +(-0.357934 + 0.527913i) q^{22} +(27.2467 + 4.46686i) q^{23} +(15.0630 + 14.8179i) q^{24} +(7.00693 + 6.63731i) q^{25} +(8.64022 + 9.12137i) q^{26} +(15.0966 + 22.3851i) q^{27} +(12.5446 + 2.76128i) q^{28} +(-8.57574 - 25.4519i) q^{29} +(15.5778 + 8.63951i) q^{30} +(-47.8950 - 10.5425i) q^{31} +(-32.9921 - 1.78878i) q^{32} +(0.138445 - 1.89190i) q^{33} +(-17.7735 - 16.8360i) q^{34} +(25.3145 - 1.37251i) q^{35} +(-25.9787 - 6.75607i) q^{36} +(25.6167 - 37.7818i) q^{37} +(-3.94671 + 36.2894i) q^{38} +(-35.8098 - 10.6748i) q^{39} +(-40.4911 + 8.91276i) q^{40} +(-20.9437 + 3.43355i) q^{41} +(12.4266 - 3.92735i) q^{42} +(12.4033 + 44.6728i) q^{43} +(1.14131 + 1.50136i) q^{44} +(-52.9718 + 0.868875i) q^{45} +(-13.0454 + 24.6062i) q^{46} +(-44.4828 + 17.7236i) q^{47} +(12.9164 - 6.53845i) q^{48} +(-19.7144 + 23.2096i) q^{49} +(-8.60133 + 4.56013i) q^{50} +(70.8012 + 16.9922i) q^{51} +(33.7159 - 15.5987i) q^{52} +(36.6670 - 31.1452i) q^{53} +(-26.2600 + 7.22093i) q^{54} +(2.96320 + 2.25257i) q^{55} +(-15.6384 + 25.9912i) q^{56} +(-43.7173 - 99.3752i) q^{57} +27.0913 q^{58} +(-45.6759 - 37.3458i) q^{59} +(38.9157 - 35.4931i) q^{60} +(-98.0629 - 33.0413i) q^{61} +(25.5034 - 42.3869i) q^{62} +(-26.1904 + 28.5732i) q^{63} +(5.19124 - 13.0290i) q^{64} +(55.8824 - 47.4669i) q^{65} +(1.76386 + 0.741676i) q^{66} +(1.30560 + 1.92562i) q^{67} +(-63.9556 + 33.9071i) q^{68} +(-2.92195 - 82.7796i) q^{69} +(-6.84124 + 24.6399i) q^{70} +(-62.3606 + 24.8467i) q^{71} +(34.7079 - 53.0429i) q^{72} +(4.55196 - 0.495056i) q^{73} +(27.8648 + 36.6555i) q^{74} +(15.3933 - 24.5235i) q^{75} +(97.9585 + 45.3204i) q^{76} +(2.68734 - 0.440567i) q^{77} +(21.7374 - 30.7922i) q^{78} +(-27.6747 + 16.6513i) q^{79} +(-3.07129 + 28.2401i) q^{80} +(56.9471 - 57.6023i) q^{81} +(3.46340 - 21.1258i) q^{82} +(4.60895 - 0.249890i) q^{83} +(0.727575 - 38.5278i) q^{84} +(-103.723 + 98.2516i) q^{85} +(-46.6972 - 2.53185i) q^{86} +(-69.8119 + 40.2290i) q^{87} +(-4.22044 + 1.42203i) q^{88} +(2.90904 + 8.63373i) q^{89} +(16.2305 - 50.9152i) q^{90} +(2.90417 - 53.5642i) q^{91} +(56.6314 + 59.7850i) q^{92} +(-2.77786 + 147.098i) q^{93} +(-2.61491 - 48.2291i) q^{94} +(210.221 + 34.4639i) q^{95} +(14.1864 + 98.1013i) q^{96} +(-122.577 - 13.3311i) q^{97} +(-15.8363 - 26.3201i) q^{98} +(-5.64666 + 0.707994i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.322077 + 0.955892i −0.161039 + 0.477946i −0.997546 0.0700094i \(-0.977697\pi\)
0.836508 + 0.547955i \(0.184594\pi\)
\(3\) −0.589478 2.94152i −0.196493 0.980505i
\(4\) 2.37438 + 1.80495i 0.593594 + 0.451239i
\(5\) 5.46847 + 2.17884i 1.09369 + 0.435767i 0.846061 0.533087i \(-0.178968\pi\)
0.247633 + 0.968854i \(0.420347\pi\)
\(6\) 3.00163 + 0.383919i 0.500271 + 0.0639865i
\(7\) 3.90866 1.80834i 0.558380 0.258334i −0.120338 0.992733i \(-0.538398\pi\)
0.678718 + 0.734399i \(0.262536\pi\)
\(8\) −5.82961 + 3.95258i −0.728702 + 0.494072i
\(9\) −8.30503 + 3.46792i −0.922781 + 0.385324i
\(10\) −3.84400 + 4.52551i −0.384400 + 0.452551i
\(11\) 0.609271 + 0.169163i 0.0553883 + 0.0153785i 0.295112 0.955463i \(-0.404643\pi\)
−0.239724 + 0.970841i \(0.577057\pi\)
\(12\) 3.90966 8.04825i 0.325805 0.670687i
\(13\) 5.83434 11.0047i 0.448795 0.846517i −0.551132 0.834418i \(-0.685804\pi\)
0.999927 0.0120991i \(-0.00385137\pi\)
\(14\) 0.469685 + 4.31868i 0.0335489 + 0.308477i
\(15\) 3.18554 17.3700i 0.212370 1.15800i
\(16\) 1.29100 + 4.64978i 0.0806878 + 0.290611i
\(17\) −10.1910 + 22.0274i −0.599468 + 1.29573i 0.335849 + 0.941916i \(0.390977\pi\)
−0.935316 + 0.353812i \(0.884885\pi\)
\(18\) −0.640088 9.05565i −0.0355605 0.503092i
\(19\) 35.3427 7.77951i 1.86014 0.409448i 0.864494 0.502644i \(-0.167639\pi\)
0.995648 + 0.0931959i \(0.0297083\pi\)
\(20\) 9.05150 + 15.0437i 0.452575 + 0.752186i
\(21\) −7.62332 10.4314i −0.363015 0.496734i
\(22\) −0.357934 + 0.527913i −0.0162697 + 0.0239961i
\(23\) 27.2467 + 4.46686i 1.18464 + 0.194211i 0.721717 0.692188i \(-0.243353\pi\)
0.462921 + 0.886400i \(0.346801\pi\)
\(24\) 15.0630 + 14.8179i 0.627625 + 0.617414i
\(25\) 7.00693 + 6.63731i 0.280277 + 0.265493i
\(26\) 8.64022 + 9.12137i 0.332316 + 0.350822i
\(27\) 15.0966 + 22.3851i 0.559132 + 0.829079i
\(28\) 12.5446 + 2.76128i 0.448021 + 0.0986170i
\(29\) −8.57574 25.4519i −0.295715 0.877651i −0.987785 0.155821i \(-0.950198\pi\)
0.692070 0.721830i \(-0.256699\pi\)
\(30\) 15.5778 + 8.63951i 0.519260 + 0.287984i
\(31\) −47.8950 10.5425i −1.54500 0.340080i −0.640975 0.767561i \(-0.721470\pi\)
−0.904024 + 0.427481i \(0.859401\pi\)
\(32\) −32.9921 1.78878i −1.03100 0.0558994i
\(33\) 0.138445 1.89190i 0.00419530 0.0573302i
\(34\) −17.7735 16.8360i −0.522750 0.495176i
\(35\) 25.3145 1.37251i 0.723270 0.0392146i
\(36\) −25.9787 6.75607i −0.721631 0.187669i
\(37\) 25.6167 37.7818i 0.692343 1.02113i −0.305283 0.952262i \(-0.598751\pi\)
0.997626 0.0688681i \(-0.0219388\pi\)
\(38\) −3.94671 + 36.2894i −0.103861 + 0.954984i
\(39\) −35.8098 10.6748i −0.918200 0.273712i
\(40\) −40.4911 + 8.91276i −1.01228 + 0.222819i
\(41\) −20.9437 + 3.43355i −0.510823 + 0.0837452i −0.411681 0.911328i \(-0.635058\pi\)
−0.0991422 + 0.995073i \(0.531610\pi\)
\(42\) 12.4266 3.92735i 0.295871 0.0935083i
\(43\) 12.4033 + 44.6728i 0.288450 + 1.03890i 0.955766 + 0.294128i \(0.0950291\pi\)
−0.667316 + 0.744774i \(0.732557\pi\)
\(44\) 1.14131 + 1.50136i 0.0259388 + 0.0341219i
\(45\) −52.9718 + 0.868875i −1.17715 + 0.0193083i
\(46\) −13.0454 + 24.6062i −0.283595 + 0.534917i
\(47\) −44.4828 + 17.7236i −0.946442 + 0.377097i −0.791736 0.610863i \(-0.790822\pi\)
−0.154706 + 0.987960i \(0.549443\pi\)
\(48\) 12.9164 6.53845i 0.269091 0.136218i
\(49\) −19.7144 + 23.2096i −0.402335 + 0.473665i
\(50\) −8.60133 + 4.56013i −0.172027 + 0.0912027i
\(51\) 70.8012 + 16.9922i 1.38826 + 0.333180i
\(52\) 33.7159 15.5987i 0.648384 0.299974i
\(53\) 36.6670 31.1452i 0.691830 0.587646i −0.230953 0.972965i \(-0.574184\pi\)
0.922783 + 0.385319i \(0.125909\pi\)
\(54\) −26.2600 + 7.22093i −0.486297 + 0.133721i
\(55\) 2.96320 + 2.25257i 0.0538764 + 0.0409557i
\(56\) −15.6384 + 25.9912i −0.279257 + 0.464128i
\(57\) −43.7173 99.3752i −0.766970 1.74342i
\(58\) 27.0913 0.467091
\(59\) −45.6759 37.3458i −0.774168 0.632980i
\(60\) 38.9157 35.4931i 0.648595 0.591551i
\(61\) −98.0629 33.0413i −1.60759 0.541660i −0.634666 0.772787i \(-0.718862\pi\)
−0.972924 + 0.231127i \(0.925759\pi\)
\(62\) 25.5034 42.3869i 0.411345 0.683660i
\(63\) −26.1904 + 28.5732i −0.415720 + 0.453543i
\(64\) 5.19124 13.0290i 0.0811131 0.203579i
\(65\) 55.8824 47.4669i 0.859729 0.730260i
\(66\) 1.76386 + 0.741676i 0.0267252 + 0.0112375i
\(67\) 1.30560 + 1.92562i 0.0194866 + 0.0287406i 0.837308 0.546732i \(-0.184128\pi\)
−0.817821 + 0.575473i \(0.804818\pi\)
\(68\) −63.9556 + 33.9071i −0.940523 + 0.498634i
\(69\) −2.92195 82.7796i −0.0423471 1.19970i
\(70\) −6.84124 + 24.6399i −0.0977320 + 0.351999i
\(71\) −62.3606 + 24.8467i −0.878318 + 0.349954i −0.765327 0.643642i \(-0.777423\pi\)
−0.112992 + 0.993596i \(0.536043\pi\)
\(72\) 34.7079 53.0429i 0.482055 0.736707i
\(73\) 4.55196 0.495056i 0.0623557 0.00678159i −0.0768880 0.997040i \(-0.524498\pi\)
0.139244 + 0.990258i \(0.455533\pi\)
\(74\) 27.8648 + 36.6555i 0.376551 + 0.495344i
\(75\) 15.3933 24.5235i 0.205244 0.326980i
\(76\) 97.9585 + 45.3204i 1.28893 + 0.596322i
\(77\) 2.68734 0.440567i 0.0349005 0.00572164i
\(78\) 21.7374 30.7922i 0.278685 0.394772i
\(79\) −27.6747 + 16.6513i −0.350313 + 0.210776i −0.679824 0.733375i \(-0.737944\pi\)
0.329511 + 0.944152i \(0.393116\pi\)
\(80\) −3.07129 + 28.2401i −0.0383911 + 0.353001i
\(81\) 56.9471 57.6023i 0.703051 0.711140i
\(82\) 3.46340 21.1258i 0.0422366 0.257632i
\(83\) 4.60895 0.249890i 0.0555295 0.00301072i −0.0263532 0.999653i \(-0.508389\pi\)
0.0818827 + 0.996642i \(0.473907\pi\)
\(84\) 0.727575 38.5278i 0.00866160 0.458665i
\(85\) −103.723 + 98.2516i −1.22027 + 1.15590i
\(86\) −46.6972 2.53185i −0.542991 0.0294401i
\(87\) −69.8119 + 40.2290i −0.802436 + 0.462402i
\(88\) −4.22044 + 1.42203i −0.0479596 + 0.0161595i
\(89\) 2.90904 + 8.63373i 0.0326859 + 0.0970082i 0.962754 0.270379i \(-0.0871490\pi\)
−0.930068 + 0.367387i \(0.880252\pi\)
\(90\) 16.2305 50.9152i 0.180339 0.565724i
\(91\) 2.90417 53.5642i 0.0319139 0.588617i
\(92\) 56.6314 + 59.7850i 0.615558 + 0.649837i
\(93\) −2.77786 + 147.098i −0.0298695 + 1.58170i
\(94\) −2.61491 48.2291i −0.0278181 0.513076i
\(95\) 210.221 + 34.4639i 2.21285 + 0.362778i
\(96\) 14.1864 + 98.1013i 0.147775 + 1.02189i
\(97\) −122.577 13.3311i −1.26368 0.137434i −0.548369 0.836237i \(-0.684751\pi\)
−0.715314 + 0.698803i \(0.753716\pi\)
\(98\) −15.8363 26.3201i −0.161595 0.268573i
\(99\) −5.64666 + 0.707994i −0.0570370 + 0.00715145i
\(100\) 4.65704 + 28.4067i 0.0465704 + 0.284067i
\(101\) −4.70607 + 10.1720i −0.0465947 + 0.100713i −0.929475 0.368886i \(-0.879739\pi\)
0.882880 + 0.469599i \(0.155601\pi\)
\(102\) −39.0462 + 62.2055i −0.382806 + 0.609858i
\(103\) 77.6097 58.9974i 0.753493 0.572790i −0.156371 0.987698i \(-0.549979\pi\)
0.909863 + 0.414908i \(0.136186\pi\)
\(104\) 9.48509 + 87.2140i 0.0912028 + 0.838596i
\(105\) −18.9596 73.6538i −0.180567 0.701465i
\(106\) 17.9619 + 45.0809i 0.169451 + 0.425291i
\(107\) −46.5005 12.9108i −0.434584 0.120662i 0.0433447 0.999060i \(-0.486199\pi\)
−0.477929 + 0.878398i \(0.658612\pi\)
\(108\) −4.55921 + 80.3993i −0.0422149 + 0.744438i
\(109\) 0.891551 + 1.68164i 0.00817937 + 0.0154279i 0.887568 0.460677i \(-0.152393\pi\)
−0.879389 + 0.476105i \(0.842048\pi\)
\(110\) −3.10759 + 2.10700i −0.0282508 + 0.0191545i
\(111\) −126.236 53.0804i −1.13726 0.478202i
\(112\) 13.4545 + 15.8398i 0.120129 + 0.141427i
\(113\) −4.08272 1.62670i −0.0361302 0.0143956i 0.352003 0.935999i \(-0.385501\pi\)
−0.388133 + 0.921603i \(0.626880\pi\)
\(114\) 109.072 9.78247i 0.956775 0.0858112i
\(115\) 139.265 + 83.7929i 1.21100 + 0.728634i
\(116\) 25.5775 75.9112i 0.220495 0.654407i
\(117\) −10.2909 + 111.628i −0.0879564 + 0.954082i
\(118\) 50.4097 31.6330i 0.427201 0.268076i
\(119\) 104.526i 0.878372i
\(120\) 50.0856 + 113.851i 0.417380 + 0.948761i
\(121\) −103.337 62.1759i −0.854026 0.513850i
\(122\) 63.1677 83.0957i 0.517768 0.681112i
\(123\) 22.4457 + 59.5823i 0.182485 + 0.484409i
\(124\) −94.6921 111.480i −0.763646 0.899033i
\(125\) −37.9369 81.9993i −0.303495 0.655995i
\(126\) −18.8776 34.2380i −0.149822 0.271730i
\(127\) 64.2194 + 121.131i 0.505665 + 0.953785i 0.996584 + 0.0825802i \(0.0263161\pi\)
−0.490920 + 0.871205i \(0.663339\pi\)
\(128\) −89.9468 76.4015i −0.702709 0.596887i
\(129\) 124.094 62.8182i 0.961971 0.486963i
\(130\) 27.3748 + 68.7055i 0.210575 + 0.528504i
\(131\) 4.45919 + 2.36411i 0.0340396 + 0.0180467i 0.485341 0.874325i \(-0.338695\pi\)
−0.451302 + 0.892371i \(0.649040\pi\)
\(132\) 3.74351 4.24219i 0.0283599 0.0321378i
\(133\) 124.075 94.3190i 0.932891 0.709165i
\(134\) −2.26119 + 0.627817i −0.0168746 + 0.00468520i
\(135\) 33.7815 + 155.305i 0.250233 + 1.15041i
\(136\) −27.6556 168.692i −0.203350 1.24038i
\(137\) 35.0342 + 159.162i 0.255724 + 1.16177i 0.912950 + 0.408072i \(0.133799\pi\)
−0.657226 + 0.753694i \(0.728270\pi\)
\(138\) 80.0695 + 23.8684i 0.580213 + 0.172959i
\(139\) 111.524 + 12.1289i 0.802330 + 0.0872586i 0.500090 0.865973i \(-0.333300\pi\)
0.302240 + 0.953232i \(0.402266\pi\)
\(140\) 62.5834 + 42.4326i 0.447024 + 0.303090i
\(141\) 78.3558 + 120.399i 0.555715 + 0.853895i
\(142\) −3.66585 67.6126i −0.0258158 0.476145i
\(143\) 5.41629 5.71790i 0.0378761 0.0399853i
\(144\) −26.8469 34.1395i −0.186437 0.237080i
\(145\) 8.55935 157.868i 0.0590300 1.08874i
\(146\) −0.992865 + 4.51063i −0.00680045 + 0.0308947i
\(147\) 79.8926 + 44.3087i 0.543487 + 0.301420i
\(148\) 129.018 43.4713i 0.871744 0.293725i
\(149\) 47.1684 214.288i 0.316567 1.43818i −0.502549 0.864549i \(-0.667604\pi\)
0.819116 0.573628i \(-0.194465\pi\)
\(150\) 18.4840 + 22.6128i 0.123227 + 0.150752i
\(151\) −92.9205 + 88.0190i −0.615368 + 0.582907i −0.930569 0.366118i \(-0.880687\pi\)
0.315201 + 0.949025i \(0.397928\pi\)
\(152\) −175.285 + 185.046i −1.15319 + 1.21741i
\(153\) 8.24709 218.279i 0.0539025 1.42666i
\(154\) −0.444397 + 2.71070i −0.00288569 + 0.0176019i
\(155\) −238.942 162.007i −1.54156 1.04520i
\(156\) −65.7585 89.9809i −0.421529 0.576801i
\(157\) −48.4023 + 29.1227i −0.308295 + 0.185495i −0.661290 0.750130i \(-0.729991\pi\)
0.352995 + 0.935625i \(0.385163\pi\)
\(158\) −7.00347 31.8171i −0.0443258 0.201374i
\(159\) −113.229 89.4971i −0.712129 0.562875i
\(160\) −176.519 81.6664i −1.10324 0.510415i
\(161\) 114.576 31.8117i 0.711649 0.197588i
\(162\) 36.7202 + 72.9877i 0.226668 + 0.450541i
\(163\) 288.806 31.4095i 1.77182 0.192697i 0.836849 0.547433i \(-0.184395\pi\)
0.934966 + 0.354737i \(0.115430\pi\)
\(164\) −55.9257 29.6500i −0.341011 0.180792i
\(165\) 4.87922 10.0441i 0.0295710 0.0608736i
\(166\) −1.24557 + 4.48614i −0.00750344 + 0.0270250i
\(167\) 154.613 + 131.329i 0.925827 + 0.786404i 0.977210 0.212275i \(-0.0680872\pi\)
−0.0513835 + 0.998679i \(0.516363\pi\)
\(168\) 85.6720 + 30.6793i 0.509952 + 0.182615i
\(169\) 7.77610 + 11.4689i 0.0460124 + 0.0678632i
\(170\) −60.5111 130.793i −0.355948 0.769368i
\(171\) −266.543 + 187.175i −1.55873 + 1.09459i
\(172\) −51.1822 + 128.458i −0.297571 + 0.746846i
\(173\) 29.3327 38.5865i 0.169553 0.223044i −0.703466 0.710729i \(-0.748365\pi\)
0.873020 + 0.487685i \(0.162159\pi\)
\(174\) −15.9697 79.6895i −0.0917800 0.457986i
\(175\) 39.3902 + 13.2721i 0.225087 + 0.0758406i
\(176\) 3.05137i 0.0173373i
\(177\) −82.9283 + 156.371i −0.468522 + 0.883452i
\(178\) −9.18985 −0.0516284
\(179\) 100.654 298.730i 0.562312 1.66888i −0.168015 0.985784i \(-0.553736\pi\)
0.730327 0.683098i \(-0.239368\pi\)
\(180\) −127.343 93.5487i −0.707463 0.519715i
\(181\) 77.5522 + 58.9537i 0.428465 + 0.325711i 0.797083 0.603870i \(-0.206376\pi\)
−0.368617 + 0.929581i \(0.620169\pi\)
\(182\) 50.2662 + 20.0279i 0.276188 + 0.110043i
\(183\) −39.3855 + 307.931i −0.215221 + 1.68268i
\(184\) −176.493 + 81.6544i −0.959202 + 0.443774i
\(185\) 222.405 150.794i 1.20219 0.815103i
\(186\) −139.715 50.0324i −0.751159 0.268992i
\(187\) −9.93527 + 11.6967i −0.0531298 + 0.0625492i
\(188\) −137.609 38.2070i −0.731964 0.203229i
\(189\) 99.4872 + 60.1961i 0.526387 + 0.318498i
\(190\) −100.651 + 189.848i −0.529743 + 0.999201i
\(191\) −29.7737 273.765i −0.155883 1.43332i −0.766931 0.641730i \(-0.778217\pi\)
0.611048 0.791594i \(-0.290748\pi\)
\(192\) −41.3852 7.58979i −0.215548 0.0395302i
\(193\) 42.5348 + 153.197i 0.220388 + 0.793764i 0.988210 + 0.153102i \(0.0489264\pi\)
−0.767823 + 0.640662i \(0.778660\pi\)
\(194\) 52.2224 112.877i 0.269188 0.581840i
\(195\) −172.566 136.398i −0.884955 0.699478i
\(196\) −88.7017 + 19.5247i −0.452559 + 0.0996159i
\(197\) −110.702 183.988i −0.561938 0.933949i −0.999397 0.0347105i \(-0.988949\pi\)
0.437459 0.899238i \(-0.355878\pi\)
\(198\) 1.14190 5.62562i 0.00576715 0.0284122i
\(199\) −123.225 + 181.743i −0.619220 + 0.913281i −0.999935 0.0114115i \(-0.996368\pi\)
0.380715 + 0.924692i \(0.375678\pi\)
\(200\) −67.0822 10.9976i −0.335411 0.0549878i
\(201\) 4.89463 4.97557i 0.0243514 0.0247541i
\(202\) −8.20761 7.77466i −0.0406317 0.0384884i
\(203\) −79.5453 83.9749i −0.391849 0.413670i
\(204\) 137.439 + 168.139i 0.673719 + 0.824210i
\(205\) −122.011 26.8567i −0.595177 0.131008i
\(206\) 31.3988 + 93.1883i 0.152421 + 0.452370i
\(207\) −241.775 + 57.3917i −1.16800 + 0.277255i
\(208\) 58.7017 + 12.9212i 0.282220 + 0.0621213i
\(209\) 22.8493 + 1.23885i 0.109327 + 0.00592752i
\(210\) 76.5115 + 5.59894i 0.364341 + 0.0266616i
\(211\) 154.375 + 146.231i 0.731634 + 0.693040i 0.959832 0.280574i \(-0.0905250\pi\)
−0.228199 + 0.973615i \(0.573284\pi\)
\(212\) 143.277 7.76825i 0.675835 0.0366427i
\(213\) 109.847 + 168.788i 0.515715 + 0.792433i
\(214\) 27.3181 40.2912i 0.127655 0.188277i
\(215\) −29.5075 + 271.317i −0.137244 + 1.26194i
\(216\) −176.486 70.8263i −0.817065 0.327900i
\(217\) −206.270 + 45.4034i −0.950551 + 0.209232i
\(218\) −1.89462 + 0.310607i −0.00869091 + 0.00142480i
\(219\) −4.13950 13.0979i −0.0189018 0.0598075i
\(220\) 2.96997 + 10.6969i 0.0134999 + 0.0486222i
\(221\) 182.948 + 240.664i 0.827818 + 1.08898i
\(222\) 91.3970 103.572i 0.411698 0.466541i
\(223\) 110.573 208.564i 0.495845 0.935263i −0.501687 0.865049i \(-0.667287\pi\)
0.997532 0.0702135i \(-0.0223681\pi\)
\(224\) −132.190 + 52.6692i −0.590133 + 0.235130i
\(225\) −81.2104 30.8237i −0.360935 0.136994i
\(226\) 2.86990 3.37871i 0.0126987 0.0149500i
\(227\) −197.791 + 104.862i −0.871325 + 0.461947i −0.843164 0.537656i \(-0.819310\pi\)
−0.0281607 + 0.999603i \(0.508965\pi\)
\(228\) 75.5664 314.862i 0.331432 1.38097i
\(229\) −95.8421 + 44.3413i −0.418525 + 0.193630i −0.617838 0.786306i \(-0.711991\pi\)
0.199313 + 0.979936i \(0.436129\pi\)
\(230\) −124.951 + 106.134i −0.543266 + 0.461454i
\(231\) −2.88006 7.64514i −0.0124678 0.0330958i
\(232\) 150.594 + 114.478i 0.649111 + 0.493441i
\(233\) −112.208 + 186.491i −0.481579 + 0.800390i −0.998449 0.0556737i \(-0.982269\pi\)
0.516870 + 0.856064i \(0.327097\pi\)
\(234\) −103.389 45.7897i −0.441835 0.195683i
\(235\) −281.869 −1.19944
\(236\) −41.0444 171.116i −0.173917 0.725068i
\(237\) 65.2938 + 71.5901i 0.275501 + 0.302068i
\(238\) −99.9157 33.6655i −0.419814 0.141452i
\(239\) 84.9281 141.152i 0.355348 0.590593i −0.626692 0.779267i \(-0.715592\pi\)
0.982040 + 0.188675i \(0.0604191\pi\)
\(240\) 84.8790 7.61263i 0.353663 0.0317193i
\(241\) 52.8116 132.547i 0.219135 0.549988i −0.777774 0.628543i \(-0.783651\pi\)
0.996910 + 0.0785553i \(0.0250307\pi\)
\(242\) 92.7160 78.7537i 0.383124 0.325428i
\(243\) −203.007 133.556i −0.835420 0.549612i
\(244\) −173.200 255.452i −0.709838 1.04693i
\(245\) −158.377 + 83.9664i −0.646439 + 0.342720i
\(246\) −64.1835 + 2.26554i −0.260909 + 0.00920953i
\(247\) 120.590 434.325i 0.488217 1.75840i
\(248\) 320.879 127.850i 1.29387 0.515524i
\(249\) −3.45193 13.4100i −0.0138632 0.0538554i
\(250\) 90.6011 9.85346i 0.362404 0.0394139i
\(251\) 47.9560 + 63.0850i 0.191060 + 0.251335i 0.881642 0.471919i \(-0.156439\pi\)
−0.690582 + 0.723254i \(0.742646\pi\)
\(252\) −113.759 + 20.5711i −0.451425 + 0.0816315i
\(253\) 15.8450 + 7.33067i 0.0626284 + 0.0289750i
\(254\) −136.471 + 22.3734i −0.537289 + 0.0880841i
\(255\) 350.151 + 247.186i 1.37314 + 0.969355i
\(256\) 150.072 90.2951i 0.586217 0.352715i
\(257\) 26.0118 239.175i 0.101213 0.930641i −0.827907 0.560865i \(-0.810469\pi\)
0.929121 0.369777i \(-0.120566\pi\)
\(258\) 20.0795 + 138.853i 0.0778274 + 0.538190i
\(259\) 31.8047 194.000i 0.122798 0.749034i
\(260\) 218.362 11.8392i 0.839852 0.0455354i
\(261\) 159.487 + 181.639i 0.611060 + 0.695934i
\(262\) −3.69604 + 3.50107i −0.0141070 + 0.0133629i
\(263\) −30.2135 1.63813i −0.114880 0.00622862i −0.00339084 0.999994i \(-0.501079\pi\)
−0.111489 + 0.993766i \(0.535562\pi\)
\(264\) 6.67079 + 11.5762i 0.0252681 + 0.0438494i
\(265\) 268.373 90.4253i 1.01273 0.341227i
\(266\) 50.1972 + 148.980i 0.188711 + 0.560075i
\(267\) 23.6814 13.6464i 0.0886945 0.0511101i
\(268\) −0.375664 + 6.92871i −0.00140173 + 0.0258534i
\(269\) 162.545 + 171.597i 0.604256 + 0.637906i 0.954308 0.298825i \(-0.0965946\pi\)
−0.350052 + 0.936730i \(0.613836\pi\)
\(270\) −159.335 17.7289i −0.590131 0.0656624i
\(271\) 14.6646 + 270.474i 0.0541131 + 0.998057i 0.891949 + 0.452136i \(0.149338\pi\)
−0.837836 + 0.545922i \(0.816180\pi\)
\(272\) −115.579 18.9482i −0.424923 0.0696626i
\(273\) −159.272 + 23.0322i −0.583413 + 0.0843672i
\(274\) −163.425 17.7736i −0.596442 0.0648670i
\(275\) 3.14633 + 5.22924i 0.0114412 + 0.0190154i
\(276\) 142.476 201.824i 0.516216 0.731246i
\(277\) 25.2402 + 153.959i 0.0911200 + 0.555807i 0.992448 + 0.122669i \(0.0391455\pi\)
−0.901328 + 0.433138i \(0.857406\pi\)
\(278\) −47.5133 + 102.698i −0.170911 + 0.369418i
\(279\) 434.330 78.5401i 1.55674 0.281506i
\(280\) −142.149 + 108.058i −0.507673 + 0.385923i
\(281\) 33.7146 + 310.000i 0.119981 + 1.10320i 0.887061 + 0.461653i \(0.152743\pi\)
−0.767080 + 0.641551i \(0.778291\pi\)
\(282\) −140.325 + 36.1218i −0.497607 + 0.128091i
\(283\) 128.876 + 323.455i 0.455393 + 1.14295i 0.960099 + 0.279660i \(0.0902216\pi\)
−0.504706 + 0.863291i \(0.668399\pi\)
\(284\) −192.915 53.5625i −0.679278 0.188600i
\(285\) −22.5442 638.683i −0.0791024 2.24099i
\(286\) 3.72123 + 7.01899i 0.0130113 + 0.0245419i
\(287\) −75.6529 + 51.2940i −0.263599 + 0.178725i
\(288\) 280.204 99.5580i 0.972931 0.345688i
\(289\) −194.255 228.695i −0.672164 0.791333i
\(290\) 148.148 + 59.0275i 0.510855 + 0.203543i
\(291\) 33.0430 + 368.421i 0.113550 + 1.26605i
\(292\) 11.7016 + 7.04064i 0.0400741 + 0.0241118i
\(293\) 65.0585 193.087i 0.222043 0.659000i −0.777503 0.628879i \(-0.783514\pi\)
0.999546 0.0301209i \(-0.00958923\pi\)
\(294\) −68.0859 + 62.0978i −0.231585 + 0.211217i
\(295\) −168.407 303.745i −0.570871 1.02964i
\(296\) 321.505i 1.08617i
\(297\) 5.41115 + 16.1924i 0.0182194 + 0.0545198i
\(298\) 189.645 + 114.105i 0.636391 + 0.382904i
\(299\) 208.123 273.781i 0.696063 0.915655i
\(300\) 80.8134 30.4438i 0.269378 0.101479i
\(301\) 129.264 + 152.181i 0.429448 + 0.505586i
\(302\) −54.2090 117.171i −0.179500 0.387983i
\(303\) 32.6952 + 7.84680i 0.107905 + 0.0258970i
\(304\) 81.8006 + 154.292i 0.269081 + 0.507540i
\(305\) −464.263 394.348i −1.52217 1.29294i
\(306\) 205.995 + 78.1862i 0.673187 + 0.255511i
\(307\) −26.8997 67.5130i −0.0876210 0.219912i 0.878636 0.477492i \(-0.158454\pi\)
−0.966257 + 0.257580i \(0.917075\pi\)
\(308\) 7.17595 + 3.80445i 0.0232985 + 0.0123521i
\(309\) −219.291 193.513i −0.709680 0.626255i
\(310\) 231.819 176.224i 0.747802 0.568464i
\(311\) −28.8762 + 8.01744i −0.0928496 + 0.0257796i −0.313642 0.949541i \(-0.601549\pi\)
0.220793 + 0.975321i \(0.429136\pi\)
\(312\) 250.950 79.3112i 0.804327 0.254203i
\(313\) 2.81777 + 17.1877i 0.00900247 + 0.0549126i 0.990946 0.134263i \(-0.0428667\pi\)
−0.981943 + 0.189176i \(0.939418\pi\)
\(314\) −12.2489 55.6472i −0.0390091 0.177220i
\(315\) −205.478 + 99.1871i −0.652310 + 0.314880i
\(316\) −95.7652 10.4151i −0.303054 0.0329592i
\(317\) 403.905 + 273.855i 1.27415 + 0.863894i 0.995338 0.0964515i \(-0.0307493\pi\)
0.278811 + 0.960346i \(0.410060\pi\)
\(318\) 122.018 79.4092i 0.383704 0.249715i
\(319\) −0.919425 16.9578i −0.00288221 0.0531592i
\(320\) 56.7762 59.9379i 0.177426 0.187306i
\(321\) −10.5663 + 144.393i −0.0329169 + 0.449822i
\(322\) −6.49361 + 119.768i −0.0201665 + 0.371949i
\(323\) −188.813 + 857.787i −0.584561 + 2.65569i
\(324\) 239.183 33.9826i 0.738221 0.104885i
\(325\) 113.923 38.3850i 0.350531 0.118108i
\(326\) −62.9938 + 286.184i −0.193232 + 0.877864i
\(327\) 4.42103 3.61380i 0.0135200 0.0110514i
\(328\) 108.523 102.798i 0.330861 0.313409i
\(329\) −141.818 + 149.715i −0.431057 + 0.455062i
\(330\) 8.02962 + 7.89899i 0.0243322 + 0.0239363i
\(331\) 7.80114 47.5849i 0.0235684 0.143761i −0.972421 0.233233i \(-0.925070\pi\)
0.995989 + 0.0894718i \(0.0285179\pi\)
\(332\) 11.3944 + 7.72561i 0.0343206 + 0.0232699i
\(333\) −81.7234 + 402.616i −0.245416 + 1.20906i
\(334\) −175.334 + 105.495i −0.524953 + 0.315853i
\(335\) 2.94404 + 13.3749i 0.00878818 + 0.0399251i
\(336\) 38.6620 48.9138i 0.115065 0.145577i
\(337\) −97.4583 45.0890i −0.289194 0.133795i 0.269929 0.962880i \(-0.413000\pi\)
−0.559123 + 0.829085i \(0.688862\pi\)
\(338\) −13.4675 + 3.73924i −0.0398447 + 0.0110628i
\(339\) −2.37830 + 12.9683i −0.00701564 + 0.0382545i
\(340\) −423.617 + 46.0711i −1.24593 + 0.135503i
\(341\) −27.3976 14.5253i −0.0803449 0.0425962i
\(342\) −93.0710 315.071i −0.272137 0.921261i
\(343\) −91.5422 + 329.705i −0.266887 + 0.961240i
\(344\) −248.879 211.400i −0.723486 0.614535i
\(345\) 164.385 459.044i 0.476477 1.33056i
\(346\) 27.4371 + 40.4668i 0.0792981 + 0.116956i
\(347\) 70.8456 + 153.130i 0.204166 + 0.441298i 0.982428 0.186642i \(-0.0597605\pi\)
−0.778262 + 0.627940i \(0.783898\pi\)
\(348\) −238.371 30.4886i −0.684975 0.0876108i
\(349\) −9.90621 + 24.8627i −0.0283846 + 0.0712399i −0.942486 0.334246i \(-0.891518\pi\)
0.914101 + 0.405486i \(0.132898\pi\)
\(350\) −25.3734 + 33.3781i −0.0724954 + 0.0953661i
\(351\) 334.421 35.5311i 0.952765 0.101228i
\(352\) −19.7986 6.67091i −0.0562459 0.0189514i
\(353\) 308.352i 0.873518i −0.899579 0.436759i \(-0.856126\pi\)
0.899579 0.436759i \(-0.143874\pi\)
\(354\) −122.764 129.634i −0.346792 0.366198i
\(355\) −395.154 −1.11311
\(356\) −8.67633 + 25.7504i −0.0243717 + 0.0723326i
\(357\) 307.466 61.6159i 0.861248 0.172593i
\(358\) 253.135 + 192.428i 0.707082 + 0.537509i
\(359\) 494.221 + 196.916i 1.37666 + 0.548512i 0.936898 0.349603i \(-0.113683\pi\)
0.439762 + 0.898114i \(0.355063\pi\)
\(360\) 305.371 214.440i 0.848253 0.595668i
\(361\) 860.950 398.318i 2.38490 1.10337i
\(362\) −81.3312 + 55.1439i −0.224672 + 0.152331i
\(363\) −121.976 + 340.619i −0.336023 + 0.938345i
\(364\) 103.576 121.940i 0.284551 0.334999i
\(365\) 25.9709 + 7.21079i 0.0711532 + 0.0197556i
\(366\) −281.663 136.826i −0.769572 0.373841i
\(367\) 209.117 394.437i 0.569801 1.07476i −0.416396 0.909184i \(-0.636707\pi\)
0.986197 0.165576i \(-0.0529483\pi\)
\(368\) 14.4056 + 132.458i 0.0391458 + 0.359940i
\(369\) 162.031 101.147i 0.439109 0.274111i
\(370\) 72.5113 + 261.162i 0.195976 + 0.705843i
\(371\) 86.9977 188.042i 0.234495 0.506853i
\(372\) −272.102 + 344.253i −0.731456 + 0.925412i
\(373\) −250.711 + 55.1856i −0.672146 + 0.147951i −0.537915 0.842999i \(-0.680788\pi\)
−0.134232 + 0.990950i \(0.542857\pi\)
\(374\) −7.98086 13.2643i −0.0213392 0.0354660i
\(375\) −218.839 + 159.929i −0.583572 + 0.426477i
\(376\) 189.264 279.143i 0.503361 0.742402i
\(377\) −330.125 54.1212i −0.875663 0.143558i
\(378\) −89.5836 + 75.7112i −0.236994 + 0.200294i
\(379\) 89.1183 + 84.4173i 0.235141 + 0.222737i 0.796192 0.605044i \(-0.206844\pi\)
−0.561052 + 0.827781i \(0.689603\pi\)
\(380\) 436.937 + 461.269i 1.14983 + 1.21387i
\(381\) 318.452 260.306i 0.835832 0.683219i
\(382\) 271.279 + 59.7130i 0.710154 + 0.156317i
\(383\) 175.898 + 522.046i 0.459263 + 1.36304i 0.888095 + 0.459660i \(0.152029\pi\)
−0.428832 + 0.903384i \(0.641075\pi\)
\(384\) −171.715 + 309.617i −0.447173 + 0.806294i
\(385\) 15.6555 + 3.44604i 0.0406637 + 0.00895076i
\(386\) −160.139 8.68247i −0.414867 0.0224935i
\(387\) −257.932 327.995i −0.666490 0.847533i
\(388\) −266.983 252.899i −0.688100 0.651802i
\(389\) −247.559 + 13.4222i −0.636397 + 0.0345045i −0.369515 0.929225i \(-0.620476\pi\)
−0.266882 + 0.963729i \(0.585993\pi\)
\(390\) 185.962 121.024i 0.476825 0.310317i
\(391\) −376.063 + 554.651i −0.961797 + 1.41855i
\(392\) 23.1897 213.226i 0.0591573 0.543943i
\(393\) 4.32548 14.5104i 0.0110063 0.0369220i
\(394\) 211.527 46.5606i 0.536871 0.118174i
\(395\) −187.619 + 30.7586i −0.474985 + 0.0778698i
\(396\) −14.6852 8.51092i −0.0370838 0.0214922i
\(397\) 0.308181 + 1.10997i 0.000776273 + 0.00279588i 0.963937 0.266130i \(-0.0857451\pi\)
−0.963161 + 0.268926i \(0.913331\pi\)
\(398\) −134.039 176.325i −0.336780 0.443027i
\(399\) −350.580 309.368i −0.878647 0.775359i
\(400\) −21.8161 + 41.1495i −0.0545402 + 0.102874i
\(401\) 549.354 218.883i 1.36996 0.545842i 0.434947 0.900456i \(-0.356767\pi\)
0.935013 + 0.354614i \(0.115388\pi\)
\(402\) 3.17966 + 6.28125i 0.00790959 + 0.0156250i
\(403\) −395.453 + 465.563i −0.981272 + 1.15524i
\(404\) −29.5340 + 15.6579i −0.0731039 + 0.0387572i
\(405\) 436.920 190.918i 1.07881 0.471402i
\(406\) 105.891 48.9902i 0.260814 0.120666i
\(407\) 21.9988 18.6860i 0.0540511 0.0459114i
\(408\) −479.907 + 180.789i −1.17624 + 0.443111i
\(409\) 21.8208 + 16.5878i 0.0533517 + 0.0405569i 0.631510 0.775368i \(-0.282435\pi\)
−0.578159 + 0.815924i \(0.696228\pi\)
\(410\) 64.9692 107.980i 0.158462 0.263365i
\(411\) 447.525 196.876i 1.08887 0.479017i
\(412\) 290.762 0.705734
\(413\) −246.066 63.3745i −0.595800 0.153449i
\(414\) 23.0101 249.595i 0.0555799 0.602888i
\(415\) 25.7484 + 8.67564i 0.0620443 + 0.0209051i
\(416\) −212.172 + 352.633i −0.510030 + 0.847676i
\(417\) −30.0633 335.199i −0.0720942 0.803834i
\(418\) −8.54345 + 21.4424i −0.0204389 + 0.0512977i
\(419\) 248.680 211.231i 0.593509 0.504132i −0.299544 0.954083i \(-0.596834\pi\)
0.893053 + 0.449951i \(0.148559\pi\)
\(420\) 87.9246 209.103i 0.209344 0.497864i
\(421\) −329.813 486.438i −0.783404 1.15543i −0.984418 0.175846i \(-0.943734\pi\)
0.201013 0.979589i \(-0.435577\pi\)
\(422\) −189.502 + 100.468i −0.449057 + 0.238075i
\(423\) 307.967 301.457i 0.728055 0.712665i
\(424\) −90.6505 + 326.494i −0.213798 + 0.770032i
\(425\) −217.610 + 86.7037i −0.512023 + 0.204009i
\(426\) −196.723 + 50.6392i −0.461790 + 0.118871i
\(427\) −443.044 + 48.1840i −1.03757 + 0.112843i
\(428\) −87.1064 114.586i −0.203520 0.267725i
\(429\) −20.0121 12.5615i −0.0466482 0.0292809i
\(430\) −249.846 115.591i −0.581036 0.268816i
\(431\) −532.897 + 87.3641i −1.23642 + 0.202701i −0.744312 0.667833i \(-0.767222\pi\)
−0.492109 + 0.870533i \(0.663774\pi\)
\(432\) −84.5962 + 99.0950i −0.195824 + 0.229387i
\(433\) −276.619 + 166.436i −0.638842 + 0.384379i −0.797813 0.602905i \(-0.794010\pi\)
0.158971 + 0.987283i \(0.449182\pi\)
\(434\) 23.0341 211.795i 0.0530739 0.488006i
\(435\) −469.417 + 67.8822i −1.07912 + 0.156051i
\(436\) −0.918412 + 5.60206i −0.00210645 + 0.0128488i
\(437\) 997.720 54.0948i 2.28311 0.123787i
\(438\) 13.8534 + 0.261612i 0.0316287 + 0.000597288i
\(439\) 276.937 262.328i 0.630835 0.597559i −0.303986 0.952676i \(-0.598318\pi\)
0.934822 + 0.355117i \(0.115559\pi\)
\(440\) −26.1777 1.41932i −0.0594949 0.00322572i
\(441\) 83.2398 261.124i 0.188752 0.592118i
\(442\) −288.972 + 97.3660i −0.653783 + 0.220285i
\(443\) 208.992 + 620.265i 0.471765 + 1.40015i 0.874587 + 0.484869i \(0.161133\pi\)
−0.402822 + 0.915278i \(0.631971\pi\)
\(444\) −203.925 353.884i −0.459290 0.797035i
\(445\) −2.90348 + 53.5516i −0.00652468 + 0.120341i
\(446\) 163.751 + 172.870i 0.367155 + 0.387601i
\(447\) −658.137 12.4285i −1.47234 0.0278043i
\(448\) −3.27010 60.3135i −0.00729934 0.134628i
\(449\) −857.411 140.565i −1.90960 0.313063i −0.913919 0.405897i \(-0.866959\pi\)
−0.995682 + 0.0928339i \(0.970407\pi\)
\(450\) 55.6201 67.7007i 0.123600 0.150446i
\(451\) −13.3412 1.45095i −0.0295815 0.00321718i
\(452\) −6.75778 11.2315i −0.0149508 0.0248485i
\(453\) 313.684 + 221.442i 0.692459 + 0.488834i
\(454\) −36.5328 222.840i −0.0804687 0.490838i
\(455\) 132.589 286.586i 0.291404 0.629860i
\(456\) 647.643 + 406.523i 1.42027 + 0.891498i
\(457\) −250.519 + 190.439i −0.548181 + 0.416717i −0.842266 0.539063i \(-0.818779\pi\)
0.294084 + 0.955780i \(0.404985\pi\)
\(458\) −11.5169 105.896i −0.0251460 0.231214i
\(459\) −646.934 + 104.412i −1.40944 + 0.227477i
\(460\) 179.425 + 450.323i 0.390055 + 0.978963i
\(461\) −536.509 148.961i −1.16379 0.323126i −0.368663 0.929563i \(-0.620184\pi\)
−0.795132 + 0.606437i \(0.792598\pi\)
\(462\) 8.23553 0.290697i 0.0178258 0.000629214i
\(463\) −180.894 341.203i −0.390700 0.736939i 0.607659 0.794198i \(-0.292109\pi\)
−0.998359 + 0.0572589i \(0.981764\pi\)
\(464\) 107.274 72.7338i 0.231195 0.156754i
\(465\) −335.694 + 798.351i −0.721923 + 1.71688i
\(466\) −142.125 167.323i −0.304990 0.359062i
\(467\) −103.010 41.0428i −0.220577 0.0878860i 0.257232 0.966350i \(-0.417190\pi\)
−0.477809 + 0.878464i \(0.658569\pi\)
\(468\) −225.917 + 246.471i −0.482729 + 0.526648i
\(469\) 8.58534 + 5.16563i 0.0183056 + 0.0110141i
\(470\) 90.7838 269.437i 0.193157 0.573270i
\(471\) 114.197 + 125.209i 0.242456 + 0.265837i
\(472\) 413.885 + 37.1740i 0.876875 + 0.0787584i
\(473\) 29.3160i 0.0619789i
\(474\) −89.4621 + 39.3563i −0.188739 + 0.0830301i
\(475\) 299.279 + 180.070i 0.630060 + 0.379095i
\(476\) −188.665 + 248.185i −0.396355 + 0.521396i
\(477\) −196.512 + 385.820i −0.411974 + 0.808847i
\(478\) 107.572 + 126.644i 0.225047 + 0.264945i
\(479\) −39.6427 85.6862i −0.0827613 0.178886i 0.861777 0.507288i \(-0.169352\pi\)
−0.944538 + 0.328402i \(0.893490\pi\)
\(480\) −136.169 + 567.374i −0.283685 + 1.18203i
\(481\) −266.322 502.337i −0.553684 1.04436i
\(482\) 109.691 + 93.1726i 0.227575 + 0.193304i
\(483\) −161.114 318.273i −0.333570 0.658951i
\(484\) −133.137 334.148i −0.275076 0.690388i
\(485\) −641.264 339.976i −1.32219 0.700982i
\(486\) 193.049 151.038i 0.397220 0.310777i
\(487\) −41.0342 + 31.1934i −0.0842591 + 0.0640521i −0.646456 0.762951i \(-0.723750\pi\)
0.562197 + 0.827004i \(0.309956\pi\)
\(488\) 702.267 194.984i 1.43907 0.399556i
\(489\) −262.636 831.012i −0.537088 1.69941i
\(490\) −29.2530 178.435i −0.0597000 0.364154i
\(491\) 124.240 + 564.428i 0.253035 + 1.14955i 0.916088 + 0.400977i \(0.131329\pi\)
−0.663054 + 0.748572i \(0.730740\pi\)
\(492\) −54.2488 + 181.984i −0.110262 + 0.369887i
\(493\) 648.033 + 70.4779i 1.31447 + 0.142957i
\(494\) 376.328 + 255.157i 0.761798 + 0.516512i
\(495\) −32.4212 8.43151i −0.0654973 0.0170333i
\(496\) −12.8124 236.312i −0.0258315 0.476434i
\(497\) −198.815 + 209.886i −0.400030 + 0.422307i
\(498\) 13.9303 + 1.01939i 0.0279725 + 0.00204696i
\(499\) −15.8391 + 292.134i −0.0317416 + 0.585440i 0.938794 + 0.344480i \(0.111945\pi\)
−0.970535 + 0.240959i \(0.922538\pi\)
\(500\) 57.9285 263.172i 0.115857 0.526343i
\(501\) 295.167 532.212i 0.589155 1.06230i
\(502\) −75.7480 + 25.5225i −0.150892 + 0.0508416i
\(503\) 112.780 512.365i 0.224215 1.01862i −0.721195 0.692733i \(-0.756407\pi\)
0.945409 0.325885i \(-0.105662\pi\)
\(504\) 39.7420 270.090i 0.0788532 0.535893i
\(505\) −47.8981 + 45.3715i −0.0948477 + 0.0898445i
\(506\) −12.1106 + 12.7850i −0.0239341 + 0.0252669i
\(507\) 29.1521 29.6342i 0.0574992 0.0584500i
\(508\) −66.1543 + 403.523i −0.130225 + 0.794337i
\(509\) −620.868 420.959i −1.21978 0.827031i −0.230501 0.973072i \(-0.574036\pi\)
−0.989278 + 0.146041i \(0.953347\pi\)
\(510\) −349.058 + 255.094i −0.684428 + 0.500183i
\(511\) 16.8968 10.1665i 0.0330662 0.0198953i
\(512\) −63.5016 288.491i −0.124026 0.563458i
\(513\) 707.698 + 673.707i 1.37953 + 1.31327i
\(514\) 220.247 + 101.897i 0.428497 + 0.198244i
\(515\) 552.952 153.526i 1.07369 0.298110i
\(516\) 408.031 + 74.8303i 0.790757 + 0.145020i
\(517\) −30.1002 + 3.27360i −0.0582210 + 0.00633191i
\(518\) 175.199 + 92.8848i 0.338223 + 0.179314i
\(519\) −130.794 63.5368i −0.252011 0.122422i
\(520\) −138.156 + 497.593i −0.265685 + 0.956910i
\(521\) 246.963 + 209.772i 0.474016 + 0.402633i 0.852297 0.523058i \(-0.175209\pi\)
−0.378281 + 0.925691i \(0.623485\pi\)
\(522\) −224.994 + 93.9503i −0.431023 + 0.179982i
\(523\) −543.234 801.210i −1.03869 1.53195i −0.832955 0.553341i \(-0.813353\pi\)
−0.205733 0.978608i \(-0.565958\pi\)
\(524\) 6.32068 + 13.6619i 0.0120624 + 0.0260724i
\(525\) 15.8205 123.690i 0.0301342 0.235601i
\(526\) 11.2970 28.3532i 0.0214771 0.0539035i
\(527\) 720.319 947.563i 1.36683 1.79803i
\(528\) 8.97564 1.79871i 0.0169993 0.00340665i
\(529\) 221.120 + 74.5038i 0.417995 + 0.140839i
\(530\) 285.659i 0.538980i
\(531\) 508.852 + 151.758i 0.958290 + 0.285796i
\(532\) 464.841 0.873762
\(533\) −84.4075 + 250.513i −0.158363 + 0.470005i
\(534\) 5.41721 + 27.0321i 0.0101446 + 0.0506219i
\(535\) −226.156 171.919i −0.422722 0.321345i
\(536\) −15.2223 6.06514i −0.0283999 0.0113156i
\(537\) −938.052 119.980i −1.74684 0.223427i
\(538\) −216.380 + 100.108i −0.402193 + 0.186074i
\(539\) −15.9376 + 10.8060i −0.0295689 + 0.0200482i
\(540\) −200.109 + 429.727i −0.370572 + 0.795792i
\(541\) 139.117 163.781i 0.257148 0.302738i −0.618406 0.785859i \(-0.712221\pi\)
0.875553 + 0.483121i \(0.160497\pi\)
\(542\) −263.267 73.0956i −0.485732 0.134863i
\(543\) 127.698 262.873i 0.235171 0.484112i
\(544\) 375.623 708.501i 0.690484 1.30239i
\(545\) 1.21139 + 11.1386i 0.00222274 + 0.0204377i
\(546\) 29.2815 159.665i 0.0536292 0.292426i
\(547\) 255.977 + 921.946i 0.467965 + 1.68546i 0.701140 + 0.713024i \(0.252675\pi\)
−0.233174 + 0.972435i \(0.574911\pi\)
\(548\) −204.096 + 441.145i −0.372437 + 0.805010i
\(549\) 929.000 65.6653i 1.69217 0.119609i
\(550\) −6.01194 + 1.32333i −0.0109308 + 0.00240605i
\(551\) −501.093 832.823i −0.909425 1.51148i
\(552\) 344.227 + 471.024i 0.623599 + 0.853304i
\(553\) −78.0599 + 115.130i −0.141157 + 0.208191i
\(554\) −155.297 25.4597i −0.280320 0.0459561i
\(555\) −574.665 565.317i −1.03543 1.01859i
\(556\) 242.907 + 230.094i 0.436884 + 0.413838i
\(557\) 112.598 + 118.869i 0.202152 + 0.213409i 0.819187 0.573527i \(-0.194425\pi\)
−0.617035 + 0.786935i \(0.711666\pi\)
\(558\) −64.8120 + 440.468i −0.116151 + 0.789370i
\(559\) 563.977 + 124.141i 1.00890 + 0.222076i
\(560\) 39.0629 + 115.935i 0.0697553 + 0.207026i
\(561\) 40.2627 + 22.3298i 0.0717695 + 0.0398036i
\(562\) −307.185 67.6166i −0.546593 0.120314i
\(563\) 54.7068 + 2.96612i 0.0971702 + 0.00526842i 0.102660 0.994717i \(-0.467265\pi\)
−0.00548968 + 0.999985i \(0.501747\pi\)
\(564\) −31.2690 + 427.302i −0.0554414 + 0.757627i
\(565\) −18.7819 17.7911i −0.0332423 0.0314887i
\(566\) −350.696 + 19.0142i −0.619605 + 0.0335940i
\(567\) 118.422 328.127i 0.208858 0.578708i
\(568\) 265.330 391.332i 0.467130 0.688965i
\(569\) −89.6451 + 824.273i −0.157548 + 1.44863i 0.602163 + 0.798373i \(0.294306\pi\)
−0.759711 + 0.650261i \(0.774660\pi\)
\(570\) 617.773 + 184.156i 1.08381 + 0.323080i
\(571\) 956.522 210.546i 1.67517 0.368733i 0.727035 0.686600i \(-0.240898\pi\)
0.948135 + 0.317867i \(0.102967\pi\)
\(572\) 23.1809 3.80031i 0.0405260 0.00664390i
\(573\) −787.732 + 248.958i −1.37475 + 0.434482i
\(574\) −24.6654 88.8366i −0.0429710 0.154768i
\(575\) 161.267 + 212.144i 0.280465 + 0.368945i
\(576\) 2.07016 + 126.209i 0.00359402 + 0.219113i
\(577\) 358.830 676.825i 0.621889 1.17301i −0.349818 0.936818i \(-0.613757\pi\)
0.971707 0.236190i \(-0.0758987\pi\)
\(578\) 281.173 112.030i 0.486459 0.193823i
\(579\) 425.557 215.423i 0.734986 0.372060i
\(580\) 305.268 359.389i 0.526324 0.619636i
\(581\) 17.5629 9.31128i 0.0302288 0.0160263i
\(582\) −362.813 87.0747i −0.623391 0.149613i
\(583\) 27.6088 12.7732i 0.0473564 0.0219094i
\(584\) −24.5794 + 20.8780i −0.0420881 + 0.0357499i
\(585\) −299.494 + 588.010i −0.511955 + 1.00514i
\(586\) 163.616 + 124.378i 0.279209 + 0.212249i
\(587\) 248.880 413.642i 0.423986 0.704671i −0.569073 0.822287i \(-0.692698\pi\)
0.993059 + 0.117616i \(0.0375253\pi\)
\(588\) 109.720 + 249.408i 0.186598 + 0.424163i
\(589\) −1774.75 −3.01316
\(590\) 344.587 63.1495i 0.584046 0.107033i
\(591\) −475.947 + 434.088i −0.805325 + 0.734498i
\(592\) 208.748 + 70.3355i 0.352615 + 0.118810i
\(593\) 160.160 266.188i 0.270084 0.448884i −0.691898 0.721995i \(-0.743225\pi\)
0.961982 + 0.273111i \(0.0880528\pi\)
\(594\) −17.2210 0.0427259i −0.0289916 7.19291e-5i
\(595\) −227.746 + 571.598i −0.382766 + 0.960669i
\(596\) 498.776 423.664i 0.836873 0.710846i
\(597\) 607.238 + 255.334i 1.01715 + 0.427695i
\(598\) 194.673 + 287.122i 0.325541 + 0.480136i
\(599\) 419.846 222.588i 0.700912 0.371600i −0.0795266 0.996833i \(-0.525341\pi\)
0.780438 + 0.625233i \(0.214996\pi\)
\(600\) 7.19392 + 203.806i 0.0119899 + 0.339677i
\(601\) −296.403 + 1067.55i −0.493183 + 1.77628i 0.127083 + 0.991892i \(0.459439\pi\)
−0.620266 + 0.784392i \(0.712975\pi\)
\(602\) −187.102 + 74.5482i −0.310800 + 0.123834i
\(603\) −17.5210 11.4646i −0.0290564 0.0190127i
\(604\) −379.499 + 41.2730i −0.628309 + 0.0683327i
\(605\) −429.625 565.162i −0.710123 0.934151i
\(606\) −18.0311 + 28.7258i −0.0297543 + 0.0474023i
\(607\) 664.997 + 307.660i 1.09555 + 0.506854i 0.882559 0.470201i \(-0.155819\pi\)
0.212987 + 0.977055i \(0.431681\pi\)
\(608\) −1179.95 + 193.442i −1.94070 + 0.318162i
\(609\) −200.123 + 283.485i −0.328610 + 0.465493i
\(610\) 526.483 316.774i 0.863086 0.519302i
\(611\) −64.4846 + 592.926i −0.105539 + 0.970419i
\(612\) 413.566 503.392i 0.675762 0.822536i
\(613\) 92.6115 564.905i 0.151079 0.921541i −0.797110 0.603834i \(-0.793639\pi\)
0.948189 0.317707i \(-0.102913\pi\)
\(614\) 73.1989 3.96873i 0.119217 0.00646373i
\(615\) −7.07654 + 374.730i −0.0115066 + 0.609317i
\(616\) −13.9248 + 13.1902i −0.0226051 + 0.0214127i
\(617\) 496.631 + 26.9265i 0.804912 + 0.0436410i 0.452003 0.892017i \(-0.350710\pi\)
0.352909 + 0.935658i \(0.385193\pi\)
\(618\) 255.606 147.292i 0.413602 0.238337i
\(619\) −358.376 + 120.751i −0.578960 + 0.195074i −0.593519 0.804820i \(-0.702262\pi\)
0.0145594 + 0.999894i \(0.495365\pi\)
\(620\) −274.924 815.944i −0.443425 1.31604i
\(621\) 311.340 + 677.354i 0.501352 + 1.09075i
\(622\) 1.63657 30.1848i 0.00263114 0.0485286i
\(623\) 26.9832 + 28.4858i 0.0433117 + 0.0457236i
\(624\) 3.40464 180.289i 0.00545616 0.288924i
\(625\) −41.8567 772.002i −0.0669708 1.23520i
\(626\) −17.3371 2.84227i −0.0276950 0.00454037i
\(627\) −9.82503 67.9418i −0.0156699 0.108360i
\(628\) −167.491 18.2157i −0.266705 0.0290059i
\(629\) 571.176 + 949.301i 0.908069 + 1.50922i
\(630\) −28.6325 228.360i −0.0454483 0.362477i
\(631\) 94.4677 + 576.228i 0.149711 + 0.913198i 0.949695 + 0.313176i \(0.101393\pi\)
−0.799984 + 0.600021i \(0.795159\pi\)
\(632\) 95.5174 206.457i 0.151135 0.326673i
\(633\) 339.142 540.296i 0.535769 0.853548i
\(634\) −391.864 + 297.887i −0.618082 + 0.469854i
\(635\) 87.2579 + 802.323i 0.137414 + 1.26350i
\(636\) −107.309 416.872i −0.168725 0.655460i
\(637\) 140.395 + 352.364i 0.220400 + 0.553162i
\(638\) 16.5059 + 4.58285i 0.0258714 + 0.00718315i
\(639\) 431.740 422.614i 0.675650 0.661368i
\(640\) −325.405 613.778i −0.508445 0.959029i
\(641\) −798.700 + 541.532i −1.24602 + 0.844824i −0.992469 0.122498i \(-0.960910\pi\)
−0.253553 + 0.967322i \(0.581599\pi\)
\(642\) −134.621 56.6059i −0.209689 0.0881712i
\(643\) 216.242 + 254.580i 0.336302 + 0.395925i 0.904155 0.427205i \(-0.140502\pi\)
−0.567853 + 0.823130i \(0.692226\pi\)
\(644\) 329.464 + 131.271i 0.511590 + 0.203836i
\(645\) 815.476 73.1384i 1.26430 0.113393i
\(646\) −759.139 456.759i −1.17514 0.707057i
\(647\) 305.040 905.326i 0.471468 1.39927i −0.403453 0.915001i \(-0.632190\pi\)
0.874921 0.484267i \(-0.160913\pi\)
\(648\) −104.302 + 560.887i −0.160960 + 0.865566i
\(649\) −21.5115 30.4804i −0.0331456 0.0469652i
\(650\) 121.261i 0.186555i
\(651\) 255.146 + 579.981i 0.391929 + 0.890908i
\(652\) 742.427 + 446.703i 1.13869 + 0.685128i
\(653\) −547.977 + 720.852i −0.839169 + 1.10391i 0.154097 + 0.988056i \(0.450753\pi\)
−0.993266 + 0.115852i \(0.963040\pi\)
\(654\) 2.03049 + 5.38995i 0.00310472 + 0.00824152i
\(655\) 19.2339 + 22.6439i 0.0293647 + 0.0345708i
\(656\) −43.0037 92.9510i −0.0655545 0.141694i
\(657\) −36.0874 + 19.8973i −0.0549275 + 0.0302851i
\(658\) −97.4353 183.782i −0.148078 0.279305i
\(659\) −326.143 277.029i −0.494906 0.420377i 0.364862 0.931062i \(-0.381116\pi\)
−0.859768 + 0.510685i \(0.829392\pi\)
\(660\) 29.7143 15.0418i 0.0450217 0.0227906i
\(661\) 275.590 + 691.680i 0.416930 + 1.04641i 0.976092 + 0.217357i \(0.0697434\pi\)
−0.559163 + 0.829058i \(0.688877\pi\)
\(662\) 42.9734 + 22.7831i 0.0649145 + 0.0344155i
\(663\) 600.073 680.010i 0.905087 1.02566i
\(664\) −25.8807 + 19.6740i −0.0389769 + 0.0296295i
\(665\) 884.003 245.442i 1.32933 0.369086i
\(666\) −358.536 207.792i −0.538342 0.312000i
\(667\) −119.970 731.786i −0.179865 1.09713i
\(668\) 130.066 + 590.895i 0.194709 + 0.884574i
\(669\) −678.674 202.310i −1.01446 0.302406i
\(670\) −13.7332 1.49357i −0.0204973 0.00222921i
\(671\) −54.1575 36.7197i −0.0807117 0.0547239i
\(672\) 232.850 + 357.791i 0.346503 + 0.532427i
\(673\) 24.3713 + 449.502i 0.0362129 + 0.667908i 0.959140 + 0.282932i \(0.0913072\pi\)
−0.922927 + 0.384975i \(0.874210\pi\)
\(674\) 74.4893 78.6374i 0.110518 0.116673i
\(675\) −42.7966 + 257.052i −0.0634024 + 0.380817i
\(676\) −2.23743 + 41.2670i −0.00330981 + 0.0610458i
\(677\) 94.9558 431.388i 0.140260 0.637206i −0.853060 0.521812i \(-0.825256\pi\)
0.993320 0.115393i \(-0.0368129\pi\)
\(678\) −11.6303 6.45019i −0.0171538 0.00951355i
\(679\) −503.220 + 169.554i −0.741119 + 0.249712i
\(680\) 216.318 982.742i 0.318114 1.44521i
\(681\) 425.047 + 519.991i 0.624151 + 0.763570i
\(682\) 22.7088 21.5109i 0.0332973 0.0315409i
\(683\) 530.951 560.518i 0.777381 0.820671i −0.210221 0.977654i \(-0.567418\pi\)
0.987601 + 0.156983i \(0.0501769\pi\)
\(684\) −970.716 36.6758i −1.41918 0.0536196i
\(685\) −155.204 + 946.705i −0.226576 + 1.38205i
\(686\) −285.679 193.695i −0.416441 0.282354i
\(687\) 186.927 + 255.783i 0.272092 + 0.372319i
\(688\) −191.706 + 115.346i −0.278642 + 0.167653i
\(689\) −128.817 585.222i −0.186962 0.849379i
\(690\) 385.852 + 304.982i 0.559206 + 0.442003i
\(691\) −972.493 449.923i −1.40737 0.651119i −0.438510 0.898726i \(-0.644494\pi\)
−0.968861 + 0.247607i \(0.920356\pi\)
\(692\) 139.294 38.6748i 0.201292 0.0558884i
\(693\) −20.7906 + 12.9784i −0.0300008 + 0.0187278i
\(694\) −169.194 + 18.4009i −0.243795 + 0.0265143i
\(695\) 583.437 + 309.319i 0.839478 + 0.445063i
\(696\) 247.968 510.456i 0.356276 0.733414i
\(697\) 137.804 496.327i 0.197711 0.712090i
\(698\) −20.5755 17.4770i −0.0294778 0.0250387i
\(699\) 614.710 + 220.129i 0.879413 + 0.314920i
\(700\) 69.5716 + 102.610i 0.0993880 + 0.146586i
\(701\) 32.9076 + 71.1285i 0.0469437 + 0.101467i 0.929628 0.368499i \(-0.120128\pi\)
−0.882684 + 0.469966i \(0.844266\pi\)
\(702\) −73.7454 + 331.114i −0.105050 + 0.471672i
\(703\) 611.439 1534.60i 0.869757 2.18292i
\(704\) 5.36690 7.06004i 0.00762344 0.0100285i
\(705\) 166.156 + 829.124i 0.235682 + 1.17606i
\(706\) 294.751 + 99.3132i 0.417494 + 0.140670i
\(707\) 48.2690i 0.0682730i
\(708\) −479.146 + 221.602i −0.676759 + 0.312997i
\(709\) −66.8836 −0.0943351 −0.0471675 0.998887i \(-0.515019\pi\)
−0.0471675 + 0.998887i \(0.515019\pi\)
\(710\) 127.270 377.724i 0.179254 0.532006i
\(711\) 172.094 234.264i 0.242045 0.329485i
\(712\) −51.0841 38.8331i −0.0717473 0.0545409i
\(713\) −1257.89 501.188i −1.76422 0.702928i
\(714\) −40.1296 + 313.749i −0.0562039 + 0.439424i
\(715\) 42.0772 19.4670i 0.0588492 0.0272265i
\(716\) 778.184 527.622i 1.08685 0.736902i
\(717\) −465.263 166.612i −0.648902 0.232373i
\(718\) −347.408 + 409.000i −0.483855 + 0.569638i
\(719\) −324.849 90.1939i −0.451807 0.125444i 0.0341684 0.999416i \(-0.489122\pi\)
−0.485975 + 0.873972i \(0.661536\pi\)
\(720\) −72.4270 245.186i −0.100593 0.340536i
\(721\) 196.663 370.945i 0.272764 0.514487i
\(722\) 103.456 + 951.264i 0.143291 + 1.31754i
\(723\) −421.021 77.2126i −0.582325 0.106795i
\(724\) 77.7295 + 279.957i 0.107361 + 0.386680i
\(725\) 108.843 235.259i 0.150128 0.324496i
\(726\) −286.309 226.302i −0.394365 0.311711i
\(727\) −268.837 + 59.1755i −0.369790 + 0.0813969i −0.395978 0.918260i \(-0.629594\pi\)
0.0261879 + 0.999657i \(0.491663\pi\)
\(728\) 194.786 + 323.737i 0.267564 + 0.444694i
\(729\) −273.188 + 675.877i −0.374743 + 0.927129i
\(730\) −15.2574 + 22.5030i −0.0209005 + 0.0308260i
\(731\) −1110.43 182.045i −1.51905 0.249036i
\(732\) −649.317 + 660.055i −0.887045 + 0.901714i
\(733\) 243.938 + 231.071i 0.332794 + 0.315240i 0.835790 0.549049i \(-0.185010\pi\)
−0.502995 + 0.864289i \(0.667769\pi\)
\(734\) 309.687 + 326.933i 0.421917 + 0.445412i
\(735\) 340.349 + 416.374i 0.463059 + 0.566495i
\(736\) −890.936 196.110i −1.21051 0.266453i
\(737\) 0.469722 + 1.39409i 0.000637344 + 0.00189157i
\(738\) 44.4989 + 187.461i 0.0602966 + 0.254013i
\(739\) 661.597 + 145.628i 0.895260 + 0.197062i 0.638690 0.769464i \(-0.279477\pi\)
0.256570 + 0.966526i \(0.417408\pi\)
\(740\) 800.248 + 43.3882i 1.08142 + 0.0586327i
\(741\) −1348.66 98.6918i −1.82005 0.133187i
\(742\) 151.728 + 143.725i 0.204485 + 0.193699i
\(743\) −1022.83 + 55.4565i −1.37663 + 0.0746386i −0.727535 0.686071i \(-0.759334\pi\)
−0.649093 + 0.760709i \(0.724851\pi\)
\(744\) −565.224 868.507i −0.759709 1.16735i
\(745\) 724.838 1069.06i 0.972938 1.43498i
\(746\) 27.9968 257.426i 0.0375292 0.345075i
\(747\) −37.4109 + 18.0588i −0.0500815 + 0.0241751i
\(748\) −44.7021 + 9.83968i −0.0597622 + 0.0131547i
\(749\) −205.102 + 33.6247i −0.273834 + 0.0448928i
\(750\) −82.3914 260.696i −0.109855 0.347595i
\(751\) −253.851 914.290i −0.338018 1.21743i −0.915932 0.401333i \(-0.868547\pi\)
0.577915 0.816097i \(-0.303867\pi\)
\(752\) −139.838 183.954i −0.185955 0.244620i
\(753\) 157.297 178.251i 0.208893 0.236721i
\(754\) 158.060 298.132i 0.209628 0.395401i
\(755\) −699.912 + 278.870i −0.927036 + 0.369365i
\(756\) 127.569 + 322.498i 0.168742 + 0.426585i
\(757\) 660.729 777.871i 0.872826 1.02757i −0.126540 0.991962i \(-0.540387\pi\)
0.999366 0.0356088i \(-0.0113370\pi\)
\(758\) −109.397 + 57.9985i −0.144323 + 0.0765152i
\(759\) 12.2230 50.9295i 0.0161041 0.0671008i
\(760\) −1361.73 + 630.002i −1.79175 + 0.828950i
\(761\) 173.896 147.709i 0.228510 0.194098i −0.525816 0.850599i \(-0.676240\pi\)
0.754326 + 0.656500i \(0.227964\pi\)
\(762\) 146.258 + 388.244i 0.191940 + 0.509507i
\(763\) 6.52575 + 4.96075i 0.00855275 + 0.00650163i
\(764\) 423.439 703.761i 0.554239 0.921153i
\(765\) 520.694 1175.69i 0.680646 1.53684i
\(766\) −555.672 −0.725421
\(767\) −677.469 + 284.763i −0.883271 + 0.371269i
\(768\) −354.068 388.211i −0.461026 0.505483i
\(769\) 1226.60 + 413.289i 1.59506 + 0.537437i 0.969992 0.243136i \(-0.0781761\pi\)
0.625064 + 0.780573i \(0.285073\pi\)
\(770\) −8.33634 + 13.8551i −0.0108264 + 0.0179936i
\(771\) −718.870 + 64.4740i −0.932386 + 0.0836238i
\(772\) −175.519 + 440.520i −0.227356 + 0.570621i
\(773\) −158.676 + 134.781i −0.205273 + 0.174361i −0.744126 0.668039i