Properties

Label 76.2.k.a.51.4
Level $76$
Weight $2$
Character 76.51
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 51.4
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.178792 - 1.40287i) q^{2} +(1.23656 + 0.450071i) q^{3} +(-1.93607 + 0.501643i) q^{4} +(-0.503046 - 2.85292i) q^{5} +(0.410302 - 1.81520i) q^{6} +(2.71118 + 1.56530i) q^{7} +(1.04989 + 2.62635i) q^{8} +(-0.971618 - 0.815285i) q^{9} +O(q^{10})\) \(q+(-0.178792 - 1.40287i) q^{2} +(1.23656 + 0.450071i) q^{3} +(-1.93607 + 0.501643i) q^{4} +(-0.503046 - 2.85292i) q^{5} +(0.410302 - 1.81520i) q^{6} +(2.71118 + 1.56530i) q^{7} +(1.04989 + 2.62635i) q^{8} +(-0.971618 - 0.815285i) q^{9} +(-3.91232 + 1.21579i) q^{10} +(-3.30359 + 1.90733i) q^{11} +(-2.61984 - 0.251056i) q^{12} +(1.53341 + 4.21300i) q^{13} +(1.71117 - 4.08329i) q^{14} +(0.661968 - 3.75421i) q^{15} +(3.49671 - 1.94243i) q^{16} +(0.0599755 - 0.0503255i) q^{17} +(-0.970017 + 1.50882i) q^{18} +(-3.51689 + 2.57517i) q^{19} +(2.40508 + 5.27109i) q^{20} +(2.64804 + 3.15581i) q^{21} +(3.26638 + 4.29348i) q^{22} +(2.21189 + 0.390015i) q^{23} +(0.116209 + 3.72017i) q^{24} +(-3.18761 + 1.16020i) q^{25} +(5.63611 - 2.90441i) q^{26} +(-2.80841 - 4.86430i) q^{27} +(-6.03426 - 1.67048i) q^{28} +(0.332156 - 0.395848i) q^{29} +(-5.38500 - 0.257429i) q^{30} +(1.35392 - 2.34507i) q^{31} +(-3.35015 - 4.55812i) q^{32} +(-4.94351 + 0.871675i) q^{33} +(-0.0813230 - 0.0751399i) q^{34} +(3.10183 - 8.52220i) q^{35} +(2.29010 + 1.09104i) q^{36} -10.4844i q^{37} +(4.24141 + 4.47331i) q^{38} +5.89976i q^{39} +(6.96462 - 4.31643i) q^{40} +(0.203213 - 0.558324i) q^{41} +(3.95374 - 4.27908i) q^{42} +(-10.9034 + 1.92257i) q^{43} +(5.43917 - 5.34993i) q^{44} +(-1.83717 + 3.18207i) q^{45} +(0.151671 - 3.17271i) q^{46} +(-1.45618 + 1.73541i) q^{47} +(5.19812 - 0.828162i) q^{48} +(1.40035 + 2.42547i) q^{49} +(2.19752 + 4.26436i) q^{50} +(0.0968133 - 0.0352372i) q^{51} +(-5.08220 - 7.38742i) q^{52} +(0.929735 + 0.163937i) q^{53} +(-6.32184 + 4.80952i) q^{54} +(7.10330 + 8.46538i) q^{55} +(-1.26459 + 8.76392i) q^{56} +(-5.50785 + 1.60150i) q^{57} +(-0.614709 - 0.395196i) q^{58} +(6.93627 - 5.82022i) q^{59} +(0.601658 + 7.60046i) q^{60} +(-0.585413 + 3.32004i) q^{61} +(-3.53189 - 1.48010i) q^{62} +(-1.35807 - 3.73126i) q^{63} +(-5.79545 + 5.51477i) q^{64} +(11.2480 - 6.49401i) q^{65} +(2.10671 + 6.77924i) q^{66} +(1.61972 + 1.35911i) q^{67} +(-0.0908712 + 0.127520i) q^{68} +(2.55959 + 1.47778i) q^{69} +(-12.5101 - 2.82774i) q^{70} +(0.503163 + 2.85358i) q^{71} +(1.12113 - 3.40777i) q^{72} +(13.7341 + 4.99880i) q^{73} +(-14.7082 + 1.87453i) q^{74} -4.46384 q^{75} +(5.51712 - 6.74992i) q^{76} -11.9422 q^{77} +(8.27658 - 1.05483i) q^{78} +(6.53766 + 2.37952i) q^{79} +(-7.30059 - 8.99868i) q^{80} +(-0.622736 - 3.53171i) q^{81} +(-0.819587 - 0.185257i) q^{82} +(-4.69715 - 2.71190i) q^{83} +(-6.70988 - 4.78149i) q^{84} +(-0.173745 - 0.145789i) q^{85} +(4.64655 + 14.9523i) q^{86} +(0.588891 - 0.339996i) q^{87} +(-8.47772 - 6.67390i) q^{88} +(1.01763 + 2.79592i) q^{89} +(4.79249 + 2.00837i) q^{90} +(-2.43727 + 13.8225i) q^{91} +(-4.47801 + 0.354482i) q^{92} +(2.72965 - 2.29045i) q^{93} +(2.69489 + 1.73255i) q^{94} +(9.11589 + 8.73797i) q^{95} +(-2.09118 - 7.14419i) q^{96} +(-6.08391 - 7.25052i) q^{97} +(3.15224 - 2.39815i) q^{98} +(4.76484 + 0.840170i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.178792 1.40287i −0.126425 0.991976i
\(3\) 1.23656 + 0.450071i 0.713928 + 0.259848i 0.673346 0.739328i \(-0.264857\pi\)
0.0405821 + 0.999176i \(0.487079\pi\)
\(4\) −1.93607 + 0.501643i −0.968033 + 0.250822i
\(5\) −0.503046 2.85292i −0.224969 1.27586i −0.862744 0.505640i \(-0.831256\pi\)
0.637775 0.770222i \(-0.279855\pi\)
\(6\) 0.410302 1.81520i 0.167505 0.741051i
\(7\) 2.71118 + 1.56530i 1.02473 + 0.591629i 0.915471 0.402384i \(-0.131818\pi\)
0.109260 + 0.994013i \(0.465152\pi\)
\(8\) 1.04989 + 2.62635i 0.371193 + 0.928556i
\(9\) −0.971618 0.815285i −0.323873 0.271762i
\(10\) −3.91232 + 1.21579i −1.23718 + 0.384465i
\(11\) −3.30359 + 1.90733i −0.996069 + 0.575081i −0.907083 0.420952i \(-0.861696\pi\)
−0.0889863 + 0.996033i \(0.528363\pi\)
\(12\) −2.61984 0.251056i −0.756282 0.0724735i
\(13\) 1.53341 + 4.21300i 0.425290 + 1.16848i 0.948640 + 0.316358i \(0.102460\pi\)
−0.523350 + 0.852118i \(0.675318\pi\)
\(14\) 1.71117 4.08329i 0.457330 1.09131i
\(15\) 0.661968 3.75421i 0.170919 0.969332i
\(16\) 3.49671 1.94243i 0.874177 0.485607i
\(17\) 0.0599755 0.0503255i 0.0145462 0.0122057i −0.635486 0.772113i \(-0.719200\pi\)
0.650032 + 0.759907i \(0.274756\pi\)
\(18\) −0.970017 + 1.50882i −0.228635 + 0.355632i
\(19\) −3.51689 + 2.57517i −0.806830 + 0.590784i
\(20\) 2.40508 + 5.27109i 0.537791 + 1.17865i
\(21\) 2.64804 + 3.15581i 0.577850 + 0.688655i
\(22\) 3.26638 + 4.29348i 0.696395 + 0.915372i
\(23\) 2.21189 + 0.390015i 0.461210 + 0.0813238i 0.399425 0.916766i \(-0.369210\pi\)
0.0617846 + 0.998090i \(0.480321\pi\)
\(24\) 0.116209 + 3.72017i 0.0237210 + 0.759376i
\(25\) −3.18761 + 1.16020i −0.637522 + 0.232039i
\(26\) 5.63611 2.90441i 1.10533 0.569603i
\(27\) −2.80841 4.86430i −0.540478 0.936135i
\(28\) −6.03426 1.67048i −1.14037 0.315692i
\(29\) 0.332156 0.395848i 0.0616799 0.0735072i −0.734322 0.678801i \(-0.762500\pi\)
0.796002 + 0.605294i \(0.206944\pi\)
\(30\) −5.38500 0.257429i −0.983163 0.0470000i
\(31\) 1.35392 2.34507i 0.243172 0.421186i −0.718444 0.695585i \(-0.755145\pi\)
0.961616 + 0.274398i \(0.0884787\pi\)
\(32\) −3.35015 4.55812i −0.592229 0.805770i
\(33\) −4.94351 + 0.871675i −0.860555 + 0.151739i
\(34\) −0.0813230 0.0751399i −0.0139468 0.0128864i
\(35\) 3.10183 8.52220i 0.524304 1.44051i
\(36\) 2.29010 + 1.09104i 0.381683 + 0.181840i
\(37\) 10.4844i 1.72363i −0.507227 0.861813i \(-0.669329\pi\)
0.507227 0.861813i \(-0.330671\pi\)
\(38\) 4.24141 + 4.47331i 0.688047 + 0.725666i
\(39\) 5.89976i 0.944718i
\(40\) 6.96462 4.31643i 1.10120 0.682487i
\(41\) 0.203213 0.558324i 0.0317366 0.0871956i −0.922812 0.385250i \(-0.874115\pi\)
0.954549 + 0.298054i \(0.0963376\pi\)
\(42\) 3.95374 4.27908i 0.610075 0.660277i
\(43\) −10.9034 + 1.92257i −1.66276 + 0.293189i −0.924457 0.381286i \(-0.875481\pi\)
−0.738298 + 0.674474i \(0.764370\pi\)
\(44\) 5.43917 5.34993i 0.819986 0.806533i
\(45\) −1.83717 + 3.18207i −0.273869 + 0.474355i
\(46\) 0.151671 3.17271i 0.0223627 0.467791i
\(47\) −1.45618 + 1.73541i −0.212405 + 0.253135i −0.861719 0.507386i \(-0.830612\pi\)
0.649314 + 0.760521i \(0.275056\pi\)
\(48\) 5.19812 0.828162i 0.750284 0.119535i
\(49\) 1.40035 + 2.42547i 0.200049 + 0.346496i
\(50\) 2.19752 + 4.26436i 0.310776 + 0.603071i
\(51\) 0.0968133 0.0352372i 0.0135566 0.00493419i
\(52\) −5.08220 7.38742i −0.704774 1.02445i
\(53\) 0.929735 + 0.163937i 0.127709 + 0.0225185i 0.237137 0.971476i \(-0.423791\pi\)
−0.109428 + 0.993995i \(0.534902\pi\)
\(54\) −6.32184 + 4.80952i −0.860294 + 0.654492i
\(55\) 7.10330 + 8.46538i 0.957809 + 1.14147i
\(56\) −1.26459 + 8.76392i −0.168988 + 1.17113i
\(57\) −5.50785 + 1.60150i −0.729533 + 0.212123i
\(58\) −0.614709 0.395196i −0.0807153 0.0518918i
\(59\) 6.93627 5.82022i 0.903025 0.757728i −0.0677542 0.997702i \(-0.521583\pi\)
0.970779 + 0.239974i \(0.0771389\pi\)
\(60\) 0.601658 + 7.60046i 0.0776737 + 0.981216i
\(61\) −0.585413 + 3.32004i −0.0749544 + 0.425088i 0.924121 + 0.382100i \(0.124799\pi\)
−0.999076 + 0.0429882i \(0.986312\pi\)
\(62\) −3.53189 1.48010i −0.448550 0.187972i
\(63\) −1.35807 3.73126i −0.171101 0.470095i
\(64\) −5.79545 + 5.51477i −0.724432 + 0.689346i
\(65\) 11.2480 6.49401i 1.39514 0.805483i
\(66\) 2.10671 + 6.77924i 0.259317 + 0.834467i
\(67\) 1.61972 + 1.35911i 0.197881 + 0.166042i 0.736344 0.676607i \(-0.236550\pi\)
−0.538463 + 0.842649i \(0.680995\pi\)
\(68\) −0.0908712 + 0.127520i −0.0110198 + 0.0154640i
\(69\) 2.55959 + 1.47778i 0.308139 + 0.177904i
\(70\) −12.5101 2.82774i −1.49524 0.337980i
\(71\) 0.503163 + 2.85358i 0.0597145 + 0.338657i 0.999998 0.00173334i \(-0.000551738\pi\)
−0.940284 + 0.340391i \(0.889441\pi\)
\(72\) 1.12113 3.40777i 0.132127 0.401610i
\(73\) 13.7341 + 4.99880i 1.60745 + 0.585066i 0.980934 0.194340i \(-0.0622563\pi\)
0.626520 + 0.779405i \(0.284479\pi\)
\(74\) −14.7082 + 1.87453i −1.70980 + 0.217910i
\(75\) −4.46384 −0.515440
\(76\) 5.51712 6.74992i 0.632857 0.774269i
\(77\) −11.9422 −1.36094
\(78\) 8.27658 1.05483i 0.937138 0.119436i
\(79\) 6.53766 + 2.37952i 0.735545 + 0.267716i 0.682510 0.730876i \(-0.260888\pi\)
0.0530348 + 0.998593i \(0.483111\pi\)
\(80\) −7.30059 8.99868i −0.816231 1.00608i
\(81\) −0.622736 3.53171i −0.0691929 0.392413i
\(82\) −0.819587 0.185257i −0.0905083 0.0204582i
\(83\) −4.69715 2.71190i −0.515579 0.297670i 0.219545 0.975602i \(-0.429543\pi\)
−0.735124 + 0.677933i \(0.762876\pi\)
\(84\) −6.70988 4.78149i −0.732108 0.521704i
\(85\) −0.173745 0.145789i −0.0188453 0.0158131i
\(86\) 4.64655 + 14.9523i 0.501050 + 1.61235i
\(87\) 0.588891 0.339996i 0.0631357 0.0364514i
\(88\) −8.47772 6.67390i −0.903728 0.711440i
\(89\) 1.01763 + 2.79592i 0.107869 + 0.296367i 0.981870 0.189557i \(-0.0607053\pi\)
−0.874001 + 0.485924i \(0.838483\pi\)
\(90\) 4.79249 + 2.00837i 0.505173 + 0.211701i
\(91\) −2.43727 + 13.8225i −0.255496 + 1.44899i
\(92\) −4.47801 + 0.354482i −0.466864 + 0.0369573i
\(93\) 2.72965 2.29045i 0.283052 0.237509i
\(94\) 2.69489 + 1.73255i 0.277957 + 0.178698i
\(95\) 9.11589 + 8.73797i 0.935271 + 0.896496i
\(96\) −2.09118 7.14419i −0.213431 0.729151i
\(97\) −6.08391 7.25052i −0.617728 0.736179i 0.362950 0.931808i \(-0.381769\pi\)
−0.980678 + 0.195629i \(0.937325\pi\)
\(98\) 3.15224 2.39815i 0.318424 0.242250i
\(99\) 4.76484 + 0.840170i 0.478885 + 0.0844403i
\(100\) 5.58942 3.84526i 0.558942 0.384526i
\(101\) −15.0894 + 5.49209i −1.50145 + 0.546483i −0.956435 0.291944i \(-0.905698\pi\)
−0.545014 + 0.838427i \(0.683476\pi\)
\(102\) −0.0667425 0.129516i −0.00660849 0.0128240i
\(103\) −5.69920 9.87131i −0.561559 0.972649i −0.997361 0.0726061i \(-0.976868\pi\)
0.435802 0.900043i \(-0.356465\pi\)
\(104\) −9.45491 + 8.45046i −0.927130 + 0.828635i
\(105\) 7.67119 9.14216i 0.748631 0.892184i
\(106\) 0.0637528 1.33360i 0.00619222 0.129531i
\(107\) −4.47937 + 7.75849i −0.433037 + 0.750041i −0.997133 0.0756674i \(-0.975891\pi\)
0.564096 + 0.825709i \(0.309225\pi\)
\(108\) 7.87740 + 8.00880i 0.758004 + 0.770647i
\(109\) 15.8051 2.78687i 1.51386 0.266934i 0.645841 0.763472i \(-0.276507\pi\)
0.868015 + 0.496539i \(0.165396\pi\)
\(110\) 10.6058 11.4785i 1.01122 1.09443i
\(111\) 4.71872 12.9646i 0.447881 1.23054i
\(112\) 12.5207 + 0.207126i 1.18310 + 0.0195715i
\(113\) 7.86582i 0.739954i 0.929041 + 0.369977i \(0.120634\pi\)
−0.929041 + 0.369977i \(0.879366\pi\)
\(114\) 3.23144 + 7.44044i 0.302653 + 0.696861i
\(115\) 6.50652i 0.606736i
\(116\) −0.444502 + 0.933013i −0.0412710 + 0.0866280i
\(117\) 1.94491 5.34359i 0.179807 0.494015i
\(118\) −9.40514 8.69005i −0.865813 0.799983i
\(119\) 0.241379 0.0425617i 0.0221272 0.00390162i
\(120\) 10.5549 2.20295i 0.963523 0.201101i
\(121\) 1.77579 3.07577i 0.161436 0.279615i
\(122\) 4.76224 + 0.227658i 0.431153 + 0.0206112i
\(123\) 0.502571 0.598941i 0.0453153 0.0540047i
\(124\) −1.44490 + 5.21939i −0.129756 + 0.468715i
\(125\) −2.32886 4.03371i −0.208300 0.360786i
\(126\) −4.99165 + 2.57231i −0.444692 + 0.229160i
\(127\) 13.7632 5.00938i 1.22128 0.444511i 0.350679 0.936496i \(-0.385951\pi\)
0.870604 + 0.491985i \(0.163729\pi\)
\(128\) 8.77267 + 7.14425i 0.775402 + 0.631468i
\(129\) −14.3480 2.52994i −1.26327 0.222749i
\(130\) −11.1213 14.6183i −0.975400 1.28211i
\(131\) −12.0116 14.3149i −1.04946 1.25070i −0.967182 0.254086i \(-0.918225\pi\)
−0.0822765 0.996610i \(-0.526219\pi\)
\(132\) 9.13370 4.16750i 0.794987 0.362734i
\(133\) −13.5659 + 1.47675i −1.17631 + 0.128050i
\(134\) 1.61706 2.51525i 0.139692 0.217285i
\(135\) −12.4647 + 10.4591i −1.07279 + 0.900177i
\(136\) 0.195140 + 0.104681i 0.0167331 + 0.00897629i
\(137\) −2.78187 + 15.7768i −0.237671 + 1.34790i 0.599243 + 0.800568i \(0.295469\pi\)
−0.836914 + 0.547334i \(0.815643\pi\)
\(138\) 1.61549 3.85498i 0.137520 0.328158i
\(139\) 4.01315 + 11.0260i 0.340391 + 0.935215i 0.985281 + 0.170941i \(0.0546806\pi\)
−0.644891 + 0.764275i \(0.723097\pi\)
\(140\) −1.73024 + 18.0556i −0.146232 + 1.52597i
\(141\) −2.58171 + 1.49055i −0.217419 + 0.125527i
\(142\) 3.91323 1.21607i 0.328391 0.102050i
\(143\) −13.1013 10.9933i −1.09559 0.919306i
\(144\) −4.98110 0.963513i −0.415091 0.0802928i
\(145\) −1.29641 0.748484i −0.107661 0.0621582i
\(146\) 4.55710 20.1608i 0.377148 1.66852i
\(147\) 0.639977 + 3.62949i 0.0527844 + 0.299355i
\(148\) 5.25943 + 20.2985i 0.432322 + 1.66853i
\(149\) 14.4819 + 5.27097i 1.18640 + 0.431815i 0.858459 0.512882i \(-0.171422\pi\)
0.327943 + 0.944697i \(0.393645\pi\)
\(150\) 0.798100 + 6.26217i 0.0651646 + 0.511304i
\(151\) −8.07351 −0.657013 −0.328506 0.944502i \(-0.606545\pi\)
−0.328506 + 0.944502i \(0.606545\pi\)
\(152\) −10.4556 6.53295i −0.848065 0.529892i
\(153\) −0.0993029 −0.00802816
\(154\) 2.13517 + 16.7533i 0.172057 + 1.35002i
\(155\) −7.37136 2.68296i −0.592082 0.215500i
\(156\) −2.95958 11.4223i −0.236956 0.914519i
\(157\) 0.547741 + 3.10639i 0.0437145 + 0.247917i 0.998832 0.0483086i \(-0.0153831\pi\)
−0.955118 + 0.296226i \(0.904272\pi\)
\(158\) 2.16926 9.59691i 0.172577 0.763489i
\(159\) 1.07589 + 0.621165i 0.0853236 + 0.0492616i
\(160\) −11.3187 + 11.8506i −0.894819 + 0.936876i
\(161\) 5.38634 + 4.51967i 0.424503 + 0.356200i
\(162\) −4.84318 + 1.50506i −0.380516 + 0.118249i
\(163\) 7.85954 4.53771i 0.615607 0.355421i −0.159550 0.987190i \(-0.551004\pi\)
0.775157 + 0.631769i \(0.217671\pi\)
\(164\) −0.113355 + 1.18289i −0.00885156 + 0.0923685i
\(165\) 4.97363 + 13.6649i 0.387197 + 1.06381i
\(166\) −2.96462 + 7.07434i −0.230099 + 0.549075i
\(167\) 2.01187 11.4099i 0.155684 0.882925i −0.802475 0.596686i \(-0.796484\pi\)
0.958158 0.286239i \(-0.0924052\pi\)
\(168\) −5.50812 + 10.2680i −0.424961 + 0.792190i
\(169\) −5.43945 + 4.56424i −0.418419 + 0.351095i
\(170\) −0.173458 + 0.269807i −0.0133037 + 0.0206932i
\(171\) 5.51657 + 0.365188i 0.421863 + 0.0279266i
\(172\) 20.1453 9.19184i 1.53606 0.700871i
\(173\) 1.95957 + 2.33532i 0.148983 + 0.177551i 0.835375 0.549681i \(-0.185251\pi\)
−0.686391 + 0.727232i \(0.740806\pi\)
\(174\) −0.582258 0.765346i −0.0441409 0.0580207i
\(175\) −10.4583 1.84407i −0.790570 0.139399i
\(176\) −7.84684 + 13.0864i −0.591478 + 0.986421i
\(177\) 11.1966 4.07524i 0.841589 0.306313i
\(178\) 3.74036 1.92749i 0.280352 0.144471i
\(179\) 2.16782 + 3.75477i 0.162030 + 0.280645i 0.935597 0.353070i \(-0.114862\pi\)
−0.773566 + 0.633715i \(0.781529\pi\)
\(180\) 1.96062 7.08230i 0.146136 0.527884i
\(181\) 1.29207 1.53983i 0.0960386 0.114454i −0.715885 0.698219i \(-0.753976\pi\)
0.811923 + 0.583764i \(0.198421\pi\)
\(182\) 19.8268 + 0.947819i 1.46966 + 0.0702570i
\(183\) −2.21815 + 3.84195i −0.163970 + 0.284005i
\(184\) 1.29792 + 6.21866i 0.0956841 + 0.458446i
\(185\) −29.9111 + 5.27414i −2.19911 + 0.387762i
\(186\) −3.70124 3.41982i −0.271388 0.250754i
\(187\) −0.102147 + 0.280648i −0.00746976 + 0.0205230i
\(188\) 1.94870 4.09034i 0.142124 0.298319i
\(189\) 17.5840i 1.27905i
\(190\) 10.6283 14.3507i 0.771061 1.04111i
\(191\) 7.09667i 0.513497i 0.966478 + 0.256749i \(0.0826512\pi\)
−0.966478 + 0.256749i \(0.917349\pi\)
\(192\) −9.64846 + 4.21098i −0.696318 + 0.303901i
\(193\) −1.24224 + 3.41304i −0.0894186 + 0.245676i −0.976339 0.216247i \(-0.930618\pi\)
0.886920 + 0.461923i \(0.152840\pi\)
\(194\) −9.08376 + 9.83125i −0.652176 + 0.705843i
\(195\) 16.8315 2.96785i 1.20533 0.212532i
\(196\) −3.92788 3.99340i −0.280563 0.285243i
\(197\) 8.46348 14.6592i 0.602998 1.04442i −0.389366 0.921083i \(-0.627306\pi\)
0.992364 0.123340i \(-0.0393607\pi\)
\(198\) 0.326730 6.83465i 0.0232197 0.485717i
\(199\) −4.24439 + 5.05827i −0.300877 + 0.358571i −0.895207 0.445650i \(-0.852973\pi\)
0.594331 + 0.804221i \(0.297417\pi\)
\(200\) −6.39373 7.15371i −0.452105 0.505844i
\(201\) 1.39119 + 2.40961i 0.0981269 + 0.169961i
\(202\) 10.4025 + 20.1864i 0.731919 + 1.42031i
\(203\) 1.52016 0.553293i 0.106694 0.0388335i
\(204\) −0.169761 + 0.116787i −0.0118856 + 0.00817674i
\(205\) −1.69508 0.298888i −0.118389 0.0208752i
\(206\) −12.8291 + 9.76013i −0.893849 + 0.680021i
\(207\) −1.83113 2.18226i −0.127273 0.151678i
\(208\) 13.5453 + 11.7531i 0.939199 + 0.814931i
\(209\) 6.70667 15.2151i 0.463910 1.05245i
\(210\) −14.1968 9.12710i −0.979671 0.629830i
\(211\) 1.14737 0.962755i 0.0789880 0.0662788i −0.602439 0.798165i \(-0.705804\pi\)
0.681427 + 0.731886i \(0.261360\pi\)
\(212\) −1.88227 + 0.149001i −0.129275 + 0.0102335i
\(213\) −0.662122 + 3.75508i −0.0453678 + 0.257294i
\(214\) 11.6850 + 4.89679i 0.798770 + 0.334738i
\(215\) 10.9698 + 30.1394i 0.748137 + 2.05549i
\(216\) 9.82685 12.4829i 0.668632 0.849351i
\(217\) 7.34148 4.23860i 0.498372 0.287735i
\(218\) −6.73543 21.6742i −0.456181 1.46796i
\(219\) 14.7332 + 12.3626i 0.995578 + 0.835389i
\(220\) −17.9991 12.8262i −1.21350 0.864744i
\(221\) 0.303988 + 0.175508i 0.0204484 + 0.0118059i
\(222\) −19.0313 4.30177i −1.27729 0.288716i
\(223\) −1.36458 7.73892i −0.0913791 0.518237i −0.995797 0.0915888i \(-0.970805\pi\)
0.904418 0.426648i \(-0.140306\pi\)
\(224\) −1.94804 17.6019i −0.130159 1.17608i
\(225\) 4.04303 + 1.47154i 0.269535 + 0.0981028i
\(226\) 11.0347 1.40635i 0.734016 0.0935488i
\(227\) 5.35801 0.355624 0.177812 0.984065i \(-0.443098\pi\)
0.177812 + 0.984065i \(0.443098\pi\)
\(228\) 9.86019 5.86358i 0.653007 0.388325i
\(229\) 3.14192 0.207624 0.103812 0.994597i \(-0.466896\pi\)
0.103812 + 0.994597i \(0.466896\pi\)
\(230\) −9.12777 + 1.16331i −0.601868 + 0.0767067i
\(231\) −14.7672 5.37483i −0.971611 0.353638i
\(232\) 1.38837 + 0.456761i 0.0911506 + 0.0299879i
\(233\) −2.48023 14.0661i −0.162485 0.921500i −0.951619 0.307279i \(-0.900582\pi\)
0.789134 0.614221i \(-0.210530\pi\)
\(234\) −7.84407 1.77305i −0.512783 0.115908i
\(235\) 5.68349 + 3.28136i 0.370750 + 0.214053i
\(236\) −10.5094 + 14.7479i −0.684104 + 0.960004i
\(237\) 7.01326 + 5.88482i 0.455560 + 0.382260i
\(238\) −0.102865 0.331013i −0.00666775 0.0214564i
\(239\) 10.7517 6.20747i 0.695467 0.401528i −0.110190 0.993911i \(-0.535146\pi\)
0.805657 + 0.592382i \(0.201813\pi\)
\(240\) −4.97757 14.4132i −0.321301 0.930367i
\(241\) −3.08075 8.46430i −0.198449 0.545234i 0.800054 0.599928i \(-0.204804\pi\)
−0.998503 + 0.0546939i \(0.982582\pi\)
\(242\) −4.63239 1.94128i −0.297781 0.124790i
\(243\) −2.10658 + 11.9470i −0.135137 + 0.766400i
\(244\) −0.532077 6.72149i −0.0340628 0.430299i
\(245\) 6.21522 5.21519i 0.397076 0.333186i
\(246\) −0.930089 0.597954i −0.0593003 0.0381241i
\(247\) −16.2420 10.8679i −1.03345 0.691507i
\(248\) 7.58044 + 1.09382i 0.481359 + 0.0694575i
\(249\) −4.58775 5.46747i −0.290737 0.346487i
\(250\) −5.24237 + 3.98828i −0.331557 + 0.252241i
\(251\) 9.86546 + 1.73955i 0.622703 + 0.109799i 0.476093 0.879395i \(-0.342053\pi\)
0.146610 + 0.989194i \(0.453164\pi\)
\(252\) 4.50107 + 6.54271i 0.283541 + 0.412152i
\(253\) −8.05104 + 2.93034i −0.506165 + 0.184229i
\(254\) −9.48824 18.4122i −0.595345 1.15529i
\(255\) −0.149230 0.258474i −0.00934516 0.0161863i
\(256\) 8.45394 13.5842i 0.528371 0.849013i
\(257\) 0.755271 0.900097i 0.0471125 0.0561465i −0.741974 0.670429i \(-0.766110\pi\)
0.789086 + 0.614283i \(0.210554\pi\)
\(258\) −0.983857 + 20.5807i −0.0612522 + 1.28130i
\(259\) 16.4113 28.4251i 1.01975 1.76625i
\(260\) −18.5191 + 18.2153i −1.14851 + 1.12966i
\(261\) −0.645458 + 0.113812i −0.0399528 + 0.00704477i
\(262\) −17.9343 + 19.4100i −1.10798 + 1.19916i
\(263\) −10.0964 + 27.7395i −0.622568 + 1.71049i 0.0780441 + 0.996950i \(0.475132\pi\)
−0.700612 + 0.713542i \(0.747090\pi\)
\(264\) −7.47948 12.0682i −0.460330 0.742749i
\(265\) 2.73492i 0.168005i
\(266\) 4.49715 + 18.7670i 0.275738 + 1.15068i
\(267\) 3.91533i 0.239614i
\(268\) −3.81768 1.81880i −0.233202 0.111101i
\(269\) 3.18316 8.74565i 0.194081 0.533232i −0.804036 0.594581i \(-0.797318\pi\)
0.998116 + 0.0613489i \(0.0195402\pi\)
\(270\) 16.9013 + 15.6163i 1.02858 + 0.950376i
\(271\) 5.26894 0.929056i 0.320065 0.0564361i −0.0113075 0.999936i \(-0.503599\pi\)
0.331373 + 0.943500i \(0.392488\pi\)
\(272\) 0.111963 0.292472i 0.00678878 0.0177337i
\(273\) −9.23492 + 15.9953i −0.558923 + 0.968082i
\(274\) 22.6301 + 1.08183i 1.36713 + 0.0653557i
\(275\) 8.31768 9.91262i 0.501575 0.597754i
\(276\) −5.69686 1.57708i −0.342911 0.0949292i
\(277\) 7.47083 + 12.9398i 0.448878 + 0.777480i 0.998313 0.0580563i \(-0.0184903\pi\)
−0.549435 + 0.835537i \(0.685157\pi\)
\(278\) 14.7505 7.60127i 0.884677 0.455894i
\(279\) −3.22739 + 1.17468i −0.193219 + 0.0703260i
\(280\) 25.6389 0.800895i 1.53222 0.0478626i
\(281\) 19.3541 + 3.41264i 1.15457 + 0.203581i 0.717968 0.696076i \(-0.245072\pi\)
0.436598 + 0.899657i \(0.356183\pi\)
\(282\) 2.55263 + 3.35529i 0.152007 + 0.199805i
\(283\) 6.74711 + 8.04090i 0.401074 + 0.477982i 0.928347 0.371714i \(-0.121230\pi\)
−0.527273 + 0.849696i \(0.676785\pi\)
\(284\) −2.40563 5.27231i −0.142748 0.312854i
\(285\) 7.33963 + 14.9078i 0.434762 + 0.883062i
\(286\) −13.0797 + 20.3449i −0.773420 + 1.20302i
\(287\) 1.42490 1.19563i 0.0841089 0.0705758i
\(288\) −0.461098 + 7.16008i −0.0271705 + 0.421912i
\(289\) −2.95095 + 16.7357i −0.173586 + 0.984453i
\(290\) −0.818234 + 1.95252i −0.0480484 + 0.114656i
\(291\) −4.25987 11.7039i −0.249718 0.686094i
\(292\) −29.0977 2.78840i −1.70282 0.163179i
\(293\) −14.0762 + 8.12692i −0.822343 + 0.474780i −0.851224 0.524803i \(-0.824139\pi\)
0.0288809 + 0.999583i \(0.490806\pi\)
\(294\) 4.97727 1.54673i 0.290280 0.0902069i
\(295\) −20.0939 16.8608i −1.16991 0.981671i
\(296\) 27.5357 11.0075i 1.60048 0.639797i
\(297\) 18.5556 + 10.7131i 1.07671 + 0.621637i
\(298\) 4.80522 21.2585i 0.278359 1.23147i
\(299\) 1.74859 + 9.91672i 0.101123 + 0.573499i
\(300\) 8.64229 2.23925i 0.498963 0.129283i
\(301\) −32.5706 11.8547i −1.87734 0.683295i
\(302\) 1.44348 + 11.3260i 0.0830629 + 0.651741i
\(303\) −21.1307 −1.21393
\(304\) −7.29546 + 15.8359i −0.418424 + 0.908252i
\(305\) 9.76629 0.559216
\(306\) 0.0177546 + 0.139309i 0.00101496 + 0.00796375i
\(307\) −23.4603 8.53887i −1.33895 0.487339i −0.429470 0.903081i \(-0.641300\pi\)
−0.909482 + 0.415742i \(0.863522\pi\)
\(308\) 23.1209 5.99071i 1.31743 0.341352i
\(309\) −2.60461 14.7715i −0.148171 0.840321i
\(310\) −2.44589 + 10.8207i −0.138917 + 0.614576i
\(311\) −13.2821 7.66844i −0.753160 0.434837i 0.0736742 0.997282i \(-0.476527\pi\)
−0.826835 + 0.562445i \(0.809861\pi\)
\(312\) −15.4949 + 6.19411i −0.877224 + 0.350673i
\(313\) −8.05392 6.75804i −0.455234 0.381987i 0.386140 0.922440i \(-0.373808\pi\)
−0.841374 + 0.540453i \(0.818253\pi\)
\(314\) 4.25992 1.32381i 0.240401 0.0747066i
\(315\) −9.96181 + 5.75145i −0.561284 + 0.324058i
\(316\) −13.8510 1.32733i −0.779181 0.0746679i
\(317\) 6.17206 + 16.9576i 0.346657 + 0.952433i 0.983415 + 0.181369i \(0.0580529\pi\)
−0.636758 + 0.771064i \(0.719725\pi\)
\(318\) 0.679051 1.62039i 0.0380793 0.0908668i
\(319\) −0.342295 + 1.94125i −0.0191648 + 0.108689i
\(320\) 18.6486 + 13.7598i 1.04249 + 0.769194i
\(321\) −9.03087 + 7.57780i −0.504054 + 0.422952i
\(322\) 5.37746 8.36439i 0.299674 0.466129i
\(323\) −0.0813310 + 0.331436i −0.00452538 + 0.0184416i
\(324\) 2.97732 + 6.52524i 0.165407 + 0.362513i
\(325\) −9.77580 11.6503i −0.542264 0.646245i
\(326\) −7.77102 10.2146i −0.430397 0.565733i
\(327\) 20.7982 + 3.66729i 1.15015 + 0.202802i
\(328\) 1.67971 0.0524699i 0.0927464 0.00289717i
\(329\) −6.66440 + 2.42564i −0.367420 + 0.133730i
\(330\) 18.2808 9.42052i 1.00633 0.518583i
\(331\) 11.4669 + 19.8613i 0.630278 + 1.09167i 0.987495 + 0.157652i \(0.0503925\pi\)
−0.357216 + 0.934022i \(0.616274\pi\)
\(332\) 10.4544 + 2.89413i 0.573760 + 0.158836i
\(333\) −8.54777 + 10.1868i −0.468415 + 0.558235i
\(334\) −16.3663 0.782388i −0.895523 0.0428104i
\(335\) 3.06263 5.30463i 0.167329 0.289823i
\(336\) 15.3894 + 5.89133i 0.839559 + 0.321398i
\(337\) −8.84318 + 1.55929i −0.481719 + 0.0849400i −0.409234 0.912430i \(-0.634204\pi\)
−0.0724847 + 0.997370i \(0.523093\pi\)
\(338\) 7.37554 + 6.81476i 0.401177 + 0.370674i
\(339\) −3.54017 + 9.72655i −0.192276 + 0.528273i
\(340\) 0.409516 + 0.195100i 0.0222091 + 0.0105808i
\(341\) 10.3295i 0.559374i
\(342\) −0.474009 7.80430i −0.0256315 0.422008i
\(343\) 13.1464i 0.709838i
\(344\) −16.4967 26.6177i −0.889445 1.43513i
\(345\) 2.92839 8.04569i 0.157659 0.433166i
\(346\) 2.92579 3.16655i 0.157291 0.170235i
\(347\) −27.4438 + 4.83908i −1.47326 + 0.259775i −0.851881 0.523735i \(-0.824538\pi\)
−0.621378 + 0.783511i \(0.713427\pi\)
\(348\) −0.969575 + 0.953668i −0.0519747 + 0.0511220i
\(349\) −3.63403 + 6.29433i −0.194525 + 0.336928i −0.946745 0.321985i \(-0.895650\pi\)
0.752220 + 0.658913i \(0.228983\pi\)
\(350\) −0.717132 + 15.0012i −0.0383323 + 0.801850i
\(351\) 16.1869 19.2908i 0.863991 1.02966i
\(352\) 19.7614 + 8.66832i 1.05328 + 0.462023i
\(353\) −5.67899 9.83630i −0.302262 0.523533i 0.674386 0.738379i \(-0.264408\pi\)
−0.976648 + 0.214846i \(0.931075\pi\)
\(354\) −7.71888 14.9787i −0.410254 0.796111i
\(355\) 7.88791 2.87096i 0.418647 0.152375i
\(356\) −3.37276 4.90260i −0.178756 0.259837i
\(357\) 0.317636 + 0.0560077i 0.0168111 + 0.00296424i
\(358\) 4.87985 3.71248i 0.257908 0.196211i
\(359\) −10.3569 12.3428i −0.546614 0.651429i 0.420043 0.907504i \(-0.362015\pi\)
−0.966657 + 0.256075i \(0.917571\pi\)
\(360\) −10.2861 1.48422i −0.542123 0.0782255i
\(361\) 5.73704 18.1132i 0.301949 0.953324i
\(362\) −2.39118 1.53729i −0.125678 0.0807981i
\(363\) 3.58019 3.00413i 0.187911 0.157676i
\(364\) −2.21522 27.9838i −0.116109 1.46675i
\(365\) 7.35228 41.6969i 0.384836 2.18251i
\(366\) 5.78633 + 2.42486i 0.302456 + 0.126749i
\(367\) −9.70967 26.6771i −0.506841 1.39253i −0.884479 0.466580i \(-0.845486\pi\)
0.377638 0.925953i \(-0.376736\pi\)
\(368\) 8.49189 2.93266i 0.442671 0.152876i
\(369\) −0.652639 + 0.376801i −0.0339750 + 0.0196155i
\(370\) 12.7468 + 41.0183i 0.662674 + 2.13244i
\(371\) 2.26407 + 1.89978i 0.117545 + 0.0986317i
\(372\) −4.13580 + 5.80378i −0.214431 + 0.300912i
\(373\) 0.671383 + 0.387623i 0.0347629 + 0.0200704i 0.517281 0.855816i \(-0.326944\pi\)
−0.482518 + 0.875886i \(0.660278\pi\)
\(374\) 0.411974 + 0.0931215i 0.0213027 + 0.00481520i
\(375\) −1.06432 6.03607i −0.0549614 0.311701i
\(376\) −6.08662 2.00245i −0.313893 0.103268i
\(377\) 2.17704 + 0.792377i 0.112123 + 0.0408095i
\(378\) −24.6680 + 3.14389i −1.26879 + 0.161704i
\(379\) 8.20752 0.421592 0.210796 0.977530i \(-0.432394\pi\)
0.210796 + 0.977530i \(0.432394\pi\)
\(380\) −22.0323 12.3444i −1.13023 0.633252i
\(381\) 19.2735 0.987413
\(382\) 9.95568 1.26883i 0.509377 0.0649190i
\(383\) 28.3957 + 10.3352i 1.45095 + 0.528103i 0.942857 0.333198i \(-0.108128\pi\)
0.508095 + 0.861301i \(0.330350\pi\)
\(384\) 7.63251 + 12.7826i 0.389495 + 0.652310i
\(385\) 6.00747 + 34.0700i 0.306169 + 1.73637i
\(386\) 5.01014 + 1.13248i 0.255009 + 0.0576416i
\(387\) 12.1614 + 7.02139i 0.618199 + 0.356917i
\(388\) 15.4160 + 10.9855i 0.782630 + 0.557706i
\(389\) 7.57457 + 6.35582i 0.384046 + 0.322253i 0.814288 0.580461i \(-0.197127\pi\)
−0.430242 + 0.902713i \(0.641572\pi\)
\(390\) −7.17285 23.0818i −0.363211 1.16879i
\(391\) 0.152287 0.0879228i 0.00770147 0.00444645i
\(392\) −4.89993 + 6.22428i −0.247484 + 0.314374i
\(393\) −8.41035 23.1072i −0.424246 1.16561i
\(394\) −22.0781 9.25219i −1.11228 0.466118i
\(395\) 3.49981 19.8484i 0.176095 0.998682i
\(396\) −9.64651 + 0.763624i −0.484756 + 0.0383736i
\(397\) −5.36709 + 4.50352i −0.269367 + 0.226025i −0.767458 0.641099i \(-0.778479\pi\)
0.498092 + 0.867124i \(0.334034\pi\)
\(398\) 7.85494 + 5.04993i 0.393732 + 0.253130i
\(399\) −17.4396 4.27950i −0.873073 0.214243i
\(400\) −8.89255 + 10.2486i −0.444627 + 0.512429i
\(401\) 12.7238 + 15.1637i 0.635397 + 0.757237i 0.983636 0.180169i \(-0.0576644\pi\)
−0.348238 + 0.937406i \(0.613220\pi\)
\(402\) 3.13163 2.38247i 0.156191 0.118827i
\(403\) 11.9559 + 2.10814i 0.595565 + 0.105014i
\(404\) 26.4590 18.2025i 1.31638 0.905609i
\(405\) −9.76242 + 3.55323i −0.485098 + 0.176561i
\(406\) −1.04799 2.03366i −0.0520108 0.100929i
\(407\) 19.9972 + 34.6362i 0.991224 + 1.71685i
\(408\) 0.194189 + 0.217271i 0.00961378 + 0.0107565i
\(409\) 11.1288 13.2628i 0.550286 0.655805i −0.417175 0.908826i \(-0.636980\pi\)
0.967461 + 0.253021i \(0.0814243\pi\)
\(410\) −0.116233 + 2.43141i −0.00574034 + 0.120079i
\(411\) −10.5406 + 18.2569i −0.519931 + 0.900546i
\(412\) 15.9859 + 16.2525i 0.787569 + 0.800705i
\(413\) 27.9159 4.92233i 1.37365 0.242212i
\(414\) −2.73403 + 2.95901i −0.134370 + 0.145427i
\(415\) −5.37394 + 14.7648i −0.263796 + 0.724774i
\(416\) 14.0662 21.1036i 0.689653 1.03469i
\(417\) 15.4405i 0.756126i
\(418\) −22.5439 6.68821i −1.10266 0.327131i
\(419\) 7.36000i 0.359560i 0.983707 + 0.179780i \(0.0575385\pi\)
−0.983707 + 0.179780i \(0.942461\pi\)
\(420\) −10.2658 + 21.5480i −0.500921 + 1.05144i
\(421\) −1.21485 + 3.33777i −0.0592081 + 0.162673i −0.965770 0.259400i \(-0.916475\pi\)
0.906562 + 0.422073i \(0.138697\pi\)
\(422\) −1.55576 1.43747i −0.0757331 0.0699749i
\(423\) 2.82970 0.498952i 0.137585 0.0242599i
\(424\) 0.545564 + 2.61393i 0.0264949 + 0.126944i
\(425\) −0.132791 + 0.230001i −0.00644133 + 0.0111567i
\(426\) 5.38625 + 0.257489i 0.260965 + 0.0124754i
\(427\) −6.78403 + 8.08490i −0.328302 + 0.391256i
\(428\) 4.78036 17.2680i 0.231067 0.834680i
\(429\) −11.2528 19.4904i −0.543289 0.941005i
\(430\) 40.3202 20.7779i 1.94441 1.00200i
\(431\) −23.3773 + 8.50864i −1.12604 + 0.409847i −0.836855 0.547425i \(-0.815608\pi\)
−0.289190 + 0.957272i \(0.593386\pi\)
\(432\) −19.2687 11.5539i −0.927068 0.555888i
\(433\) −2.58798 0.456330i −0.124370 0.0219298i 0.111117 0.993807i \(-0.464557\pi\)
−0.235487 + 0.971878i \(0.575668\pi\)
\(434\) −7.25879 9.54128i −0.348433 0.457996i
\(435\) −1.26622 1.50902i −0.0607106 0.0723520i
\(436\) −29.2017 + 13.3241i −1.39851 + 0.638108i
\(437\) −8.78331 + 4.32433i −0.420163 + 0.206861i
\(438\) 14.7089 22.8791i 0.702820 1.09320i
\(439\) −6.48906 + 5.44497i −0.309706 + 0.259874i −0.784370 0.620293i \(-0.787014\pi\)
0.474665 + 0.880167i \(0.342569\pi\)
\(440\) −14.7754 + 27.5435i −0.704389 + 1.31309i
\(441\) 0.616846 3.49831i 0.0293736 0.166586i
\(442\) 0.191863 0.457834i 0.00912599 0.0217769i
\(443\) −5.66756 15.5715i −0.269274 0.739824i −0.998458 0.0555069i \(-0.982323\pi\)
0.729184 0.684317i \(-0.239900\pi\)
\(444\) −2.63217 + 27.4674i −0.124917 + 1.30355i
\(445\) 7.46461 4.30970i 0.353856 0.204299i
\(446\) −10.6127 + 3.29798i −0.502526 + 0.156164i
\(447\) 15.5354 + 13.0357i 0.734799 + 0.616569i
\(448\) −24.3448 + 5.87992i −1.15019 + 0.277800i
\(449\) −20.3983 11.7770i −0.962656 0.555790i −0.0656669 0.997842i \(-0.520917\pi\)
−0.896990 + 0.442052i \(0.854251\pi\)
\(450\) 1.34152 5.93493i 0.0632396 0.279775i
\(451\) 0.393574 + 2.23207i 0.0185327 + 0.105104i
\(452\) −3.94583 15.2287i −0.185596 0.716300i
\(453\) −9.98337 3.63365i −0.469060 0.170724i
\(454\) −0.957970 7.51657i −0.0449598 0.352770i
\(455\) 40.6604 1.90619
\(456\) −9.98874 12.7842i −0.467766 0.598673i
\(457\) −35.6608 −1.66814 −0.834070 0.551659i \(-0.813995\pi\)
−0.834070 + 0.551659i \(0.813995\pi\)
\(458\) −0.561751 4.40769i −0.0262489 0.205958i
\(459\) −0.413234 0.150405i −0.0192881 0.00702030i
\(460\) 3.26395 + 12.5971i 0.152182 + 0.587341i
\(461\) 5.18964 + 29.4319i 0.241706 + 1.37078i 0.828021 + 0.560697i \(0.189467\pi\)
−0.586315 + 0.810083i \(0.699422\pi\)
\(462\) −4.89990 + 21.6774i −0.227964 + 1.00852i
\(463\) −8.24455 4.75999i −0.383157 0.221216i 0.296034 0.955177i \(-0.404336\pi\)
−0.679191 + 0.733962i \(0.737669\pi\)
\(464\) 0.392546 2.02936i 0.0182235 0.0942105i
\(465\) −7.90761 6.63527i −0.366706 0.307703i
\(466\) −19.2894 + 5.99434i −0.893564 + 0.277682i
\(467\) −13.8707 + 8.00827i −0.641861 + 0.370579i −0.785331 0.619076i \(-0.787507\pi\)
0.143470 + 0.989655i \(0.454174\pi\)
\(468\) −1.08490 + 11.3212i −0.0501493 + 0.523322i
\(469\) 2.26395 + 6.22016i 0.104540 + 0.287220i
\(470\) 3.58715 8.55986i 0.165463 0.394837i
\(471\) −0.720782 + 4.08776i −0.0332119 + 0.188354i
\(472\) 22.5683 + 12.1065i 1.03879 + 0.557246i
\(473\) 32.3534 27.1478i 1.48761 1.24825i
\(474\) 7.00170 10.8908i 0.321599 0.500232i
\(475\) 8.22278 12.2889i 0.377287 0.563854i
\(476\) −0.445976 + 0.203489i −0.0204413 + 0.00932688i
\(477\) −0.769692 0.917283i −0.0352418 0.0419995i
\(478\) −10.6306 13.9733i −0.486231 0.639124i
\(479\) −11.6151 2.04805i −0.530706 0.0935778i −0.0981272 0.995174i \(-0.531285\pi\)
−0.432579 + 0.901596i \(0.642396\pi\)
\(480\) −19.3298 + 9.55983i −0.882282 + 0.436345i
\(481\) 44.1708 16.0769i 2.01401 0.733041i
\(482\) −11.3235 + 5.83524i −0.515770 + 0.265788i
\(483\) 4.62635 + 8.01307i 0.210506 + 0.364608i
\(484\) −1.89512 + 6.84571i −0.0861418 + 0.311168i
\(485\) −17.6246 + 21.0042i −0.800294 + 0.953753i
\(486\) 17.1367 + 0.819216i 0.777335 + 0.0371604i
\(487\) −10.2230 + 17.7067i −0.463247 + 0.802367i −0.999121 0.0419308i \(-0.986649\pi\)
0.535873 + 0.844298i \(0.319982\pi\)
\(488\) −9.33422 + 1.94818i −0.422540 + 0.0881901i
\(489\) 11.7611 2.07380i 0.531854 0.0937803i
\(490\) −8.42745 7.78669i −0.380713 0.351767i
\(491\) 12.7994 35.1661i 0.577630 1.58703i −0.214533 0.976717i \(-0.568823\pi\)
0.792163 0.610309i \(-0.208955\pi\)
\(492\) −0.672556 + 1.41170i −0.0303212 + 0.0636444i
\(493\) 0.0404571i 0.00182210i
\(494\) −12.3422 + 24.7284i −0.555304 + 1.11258i
\(495\) 14.0163i 0.629987i
\(496\) 0.179155 10.8299i 0.00804432 0.486278i
\(497\) −3.10255 + 8.52418i −0.139168 + 0.382362i
\(498\) −6.84988 + 7.41355i −0.306950 + 0.332209i
\(499\) 36.4883 6.43387i 1.63344 0.288019i 0.719689 0.694296i \(-0.244284\pi\)
0.913750 + 0.406277i \(0.133173\pi\)
\(500\) 6.53231 + 6.64127i 0.292134 + 0.297007i
\(501\) 7.62307 13.2035i 0.340574 0.589891i
\(502\) 0.676484 14.1509i 0.0301930 0.631587i
\(503\) 1.85009 2.20485i 0.0824914 0.0983094i −0.723220 0.690618i \(-0.757339\pi\)
0.805711 + 0.592308i \(0.201783\pi\)
\(504\) 8.37379 7.48419i 0.372998 0.333372i
\(505\) 23.2591 + 40.2860i 1.03502 + 1.79270i
\(506\) 5.55034 + 10.7706i 0.246743 + 0.478812i
\(507\) −8.78043 + 3.19581i −0.389952 + 0.141931i
\(508\) −24.1335 + 16.6027i −1.07075 + 0.736625i
\(509\) −10.1796 1.79493i −0.451201 0.0795589i −0.0565701 0.998399i \(-0.518016\pi\)
−0.394631 + 0.918840i \(0.629128\pi\)
\(510\) −0.335924 + 0.255563i −0.0148750 + 0.0113165i
\(511\) 29.4110 + 35.0507i 1.30107 + 1.55055i
\(512\) −20.5683 9.43100i −0.909000 0.416795i
\(513\) 22.4032 + 9.87511i 0.989127 + 0.435997i
\(514\) −1.39775 0.898614i −0.0616522 0.0396362i
\(515\) −25.2950 + 21.2251i −1.11463 + 0.935288i
\(516\) 29.0478 2.29944i 1.27876 0.101227i
\(517\) 1.50063 8.51047i 0.0659974 0.374290i
\(518\) −42.8109 17.9406i −1.88100 0.788265i
\(519\) 1.37206 + 3.76971i 0.0602268 + 0.165472i
\(520\) 28.8647 + 22.7231i 1.26580 + 0.996473i
\(521\) −32.7090 + 18.8846i −1.43301 + 0.827348i −0.997349 0.0727637i \(-0.976818\pi\)
−0.435659 + 0.900112i \(0.643485\pi\)
\(522\) 0.275065 + 0.885143i 0.0120393 + 0.0387416i
\(523\) −22.4623 18.8481i −0.982206 0.824169i 0.00221480 0.999998i \(-0.499295\pi\)
−0.984421 + 0.175829i \(0.943739\pi\)
\(524\) 30.4362 + 21.6890i 1.32961 + 0.947488i
\(525\) −12.1023 6.98726i −0.528187 0.304949i
\(526\) 40.7200 + 9.20423i 1.77548 + 0.401324i
\(527\) −0.0368142 0.208784i −0.00160365 0.00909475i
\(528\) −15.5929 + 12.6504i −0.678592 + 0.550539i
\(529\) −16.8726 6.14113i −0.733592 0.267005i
\(530\) −3.83673 + 0.488983i −0.166657 + 0.0212401i
\(531\) −11.4845 −0.498387
\(532\) 25.5236 9.66430i 1.10659 0.419001i
\(533\) 2.66383 0.115383
\(534\) 5.49268 0.700030i 0.237692 0.0302933i
\(535\) 24.3876 + 8.87638i 1.05437 + 0.383759i
\(536\) −1.86897 + 5.68089i −0.0807271 + 0.245377i
\(537\) 0.990723 + 5.61867i 0.0427529 + 0.242463i
\(538\) −12.8381 2.90189i −0.553490 0.125109i
\(539\) −9.25233 5.34183i −0.398526 0.230089i
\(540\) 18.8857 26.5024i 0.812712 1.14048i
\(541\) 1.95274 + 1.63855i 0.0839549 + 0.0704466i 0.683799 0.729670i \(-0.260326\pi\)
−0.599844 + 0.800117i \(0.704771\pi\)
\(542\) −2.24539 7.22551i −0.0964476 0.310362i
\(543\) 2.29075 1.32256i 0.0983054 0.0567567i
\(544\) −0.430317 0.104778i −0.0184497 0.00449232i
\(545\) −15.9014 43.6887i −0.681141 1.87142i
\(546\) 24.0905 + 10.0955i 1.03098 + 0.432048i
\(547\) 0.169432 0.960896i 0.00724439 0.0410850i −0.980971 0.194153i \(-0.937804\pi\)
0.988216 + 0.153068i \(0.0489153\pi\)
\(548\) −2.52842 31.9404i −0.108009 1.36443i
\(549\) 3.27558 2.74854i 0.139798 0.117305i
\(550\) −15.3932 9.89629i −0.656369 0.421979i
\(551\) −0.148782 + 2.24751i −0.00633832 + 0.0957473i
\(552\) −1.19388 + 8.27390i −0.0508149 + 0.352161i
\(553\) 14.0001 + 16.6847i 0.595347 + 0.709507i
\(554\) 16.8172 12.7941i 0.714492 0.543570i
\(555\) −39.3606 6.94034i −1.67077 0.294601i
\(556\) −13.3008 19.3340i −0.564082 0.819942i
\(557\) 8.89834 3.23873i 0.377035 0.137229i −0.146549 0.989203i \(-0.546817\pi\)
0.523584 + 0.851974i \(0.324595\pi\)
\(558\) 2.22495 + 4.31758i 0.0941894 + 0.182778i
\(559\) −24.8191 42.9880i −1.04974 1.81820i
\(560\) −5.70758 35.8247i −0.241189 1.51387i
\(561\) −0.252623 + 0.301064i −0.0106657 + 0.0127109i
\(562\) 1.32713 27.7613i 0.0559814 1.17104i
\(563\) 15.1232 26.1942i 0.637367 1.10395i −0.348641 0.937256i \(-0.613357\pi\)
0.986008 0.166696i \(-0.0533098\pi\)
\(564\) 4.25063 4.18090i 0.178984 0.176047i
\(565\) 22.4405 3.95687i 0.944079 0.166467i
\(566\) 10.0740 10.9029i 0.423441 0.458285i
\(567\) 3.83985 10.5499i 0.161258 0.443054i
\(568\) −6.96624 + 4.31743i −0.292297 + 0.181155i
\(569\) 12.8421i 0.538369i 0.963089 + 0.269184i \(0.0867541\pi\)
−0.963089 + 0.269184i \(0.913246\pi\)
\(570\) 19.6014 12.9619i 0.821012 0.542915i
\(571\) 11.1572i 0.466915i 0.972367 + 0.233458i \(0.0750040\pi\)
−0.972367 + 0.233458i \(0.924996\pi\)
\(572\) 30.8797 + 14.7116i 1.29115 + 0.615122i
\(573\) −3.19400 + 8.77545i −0.133431 + 0.366600i
\(574\) −1.93207 1.78517i −0.0806430 0.0745115i
\(575\) −7.50312 + 1.32300i −0.312902 + 0.0551730i
\(576\) 10.1271 0.633308i 0.421962 0.0263878i
\(577\) 5.34339 9.25502i 0.222448 0.385291i −0.733103 0.680118i \(-0.761929\pi\)
0.955551 + 0.294827i \(0.0952619\pi\)
\(578\) 24.0055 + 1.14758i 0.998499 + 0.0477331i
\(579\) −3.07222 + 3.66132i −0.127677 + 0.152159i
\(580\) 2.88541 + 0.798778i 0.119810 + 0.0331675i
\(581\) −8.48989 14.7049i −0.352220 0.610063i
\(582\) −15.6574 + 8.06859i −0.649018 + 0.334454i
\(583\) −3.38414 + 1.23173i −0.140157 + 0.0510129i
\(584\) 1.29070 + 41.3188i 0.0534094 + 1.70978i
\(585\) −16.2232 2.86059i −0.670746 0.118271i
\(586\) 13.9177 + 18.2941i 0.574935 + 0.755720i
\(587\) −9.10535 10.8513i −0.375818 0.447882i 0.544672 0.838649i \(-0.316654\pi\)
−0.920490 + 0.390767i \(0.872210\pi\)
\(588\) −3.05975 6.70590i −0.126182 0.276546i
\(589\) 1.27733 + 11.7339i 0.0526315 + 0.483488i
\(590\) −20.0607 + 31.2036i −0.825888 + 1.28463i
\(591\) 17.0633 14.3178i 0.701889 0.588955i
\(592\) −20.3652 36.6609i −0.837005 1.50675i
\(593\) −1.39125 + 7.89016i −0.0571317 + 0.324010i −0.999957 0.00927734i \(-0.997047\pi\)
0.942825 + 0.333288i \(0.108158\pi\)
\(594\) 11.7114 27.9465i 0.480526 1.14666i
\(595\) −0.242850 0.667224i −0.00995587 0.0273535i
\(596\) −30.6820 2.94022i −1.25679 0.120436i
\(597\) −7.52502 + 4.34457i −0.307979 + 0.177811i
\(598\) 13.5992 4.22606i 0.556113 0.172817i
\(599\) 34.0092 + 28.5371i 1.38958 + 1.16599i 0.965511 + 0.260363i \(0.0838424\pi\)
0.424067 + 0.905631i \(0.360602\pi\)
\(600\) −4.68655 11.7236i −0.191328 0.478615i
\(601\) −28.8637 16.6645i −1.17737 0.679758i −0.221969 0.975054i \(-0.571248\pi\)
−0.955406 + 0.295296i \(0.904582\pi\)
\(602\) −10.8072 + 47.8117i −0.440469 + 1.94866i
\(603\) −0.465692 2.64107i −0.0189645 0.107553i
\(604\) 15.6308 4.05002i 0.636010 0.164793i
\(605\) −9.66821 3.51894i −0.393069 0.143065i
\(606\) 3.77801 + 29.6436i 0.153471 + 1.20419i
\(607\) 13.9779 0.567345 0.283672 0.958921i \(-0.408447\pi\)
0.283672 + 0.958921i \(0.408447\pi\)
\(608\) 23.5200 + 7.40322i 0.953864 + 0.300240i
\(609\) 2.12879 0.0862628
\(610\) −1.74614 13.7008i −0.0706990 0.554729i
\(611\) −9.54417 3.47379i −0.386116 0.140535i
\(612\) 0.192257 0.0498146i 0.00777153 0.00201364i
\(613\) −4.97045 28.1888i −0.200755 1.13854i −0.903982 0.427571i \(-0.859369\pi\)
0.703227 0.710965i \(-0.251742\pi\)
\(614\) −7.78436 + 34.4384i −0.314151 + 1.38982i
\(615\) −1.96154 1.13250i −0.0790971 0.0456667i
\(616\) −12.5380 31.3644i −0.505170 1.26371i
\(617\) −22.3135 18.7233i −0.898310 0.753771i 0.0715497 0.997437i \(-0.477206\pi\)
−0.969859 + 0.243666i \(0.921650\pi\)
\(618\) −20.2568 + 6.29495i −0.814846 + 0.253220i
\(619\) −21.0830 + 12.1723i −0.847396 + 0.489244i −0.859771 0.510679i \(-0.829394\pi\)
0.0123753 + 0.999923i \(0.496061\pi\)
\(620\) 15.6173 + 1.49659i 0.627207 + 0.0601045i
\(621\) −4.31472 11.8546i −0.173144 0.475709i
\(622\) −8.38306 + 20.0041i −0.336130 + 0.802092i
\(623\) −1.61748 + 9.17316i −0.0648028 + 0.367515i
\(624\) 11.4599 + 20.6298i 0.458762 + 0.825851i
\(625\) −23.3291 + 19.5755i −0.933165 + 0.783018i
\(626\) −8.04064 + 12.5068i −0.321369 + 0.499874i
\(627\) 15.1411 15.7960i 0.604677 0.630830i
\(628\) −2.61876 5.73941i −0.104500 0.229027i
\(629\) −0.527633 0.628808i −0.0210381 0.0250722i
\(630\) 9.84961 + 12.9468i 0.392418 + 0.515812i
\(631\) −3.45710 0.609581i −0.137625 0.0242670i 0.104411 0.994534i \(-0.466704\pi\)
−0.242036 + 0.970267i \(0.577815\pi\)
\(632\) 0.614394 + 19.6684i 0.0244393 + 0.782369i
\(633\) 1.85210 0.674108i 0.0736142 0.0267934i
\(634\) 22.6857 11.6905i 0.900965 0.464287i
\(635\) −21.2148 36.7452i −0.841885 1.45819i
\(636\) −2.39460 0.662904i −0.0949519 0.0262859i
\(637\) −8.07120 + 9.61888i −0.319793 + 0.381114i
\(638\) 2.78451 + 0.133113i 0.110240 + 0.00527001i
\(639\) 1.83760 3.18281i 0.0726942 0.125910i
\(640\) 15.9689 28.6216i 0.631226 1.13137i
\(641\) −3.21901 + 0.567598i −0.127143 + 0.0224188i −0.236858 0.971544i \(-0.576117\pi\)
0.109714 + 0.993963i \(0.465006\pi\)
\(642\) 12.2453 + 11.3142i 0.483283 + 0.446538i
\(643\) −12.1157 + 33.2877i −0.477797 + 1.31274i 0.433562 + 0.901124i \(0.357257\pi\)
−0.911359 + 0.411613i \(0.864966\pi\)
\(644\) −12.6956 6.04837i −0.500275 0.238339i
\(645\) 42.2063i 1.66187i
\(646\) 0.479502 + 0.0548384i 0.0188657 + 0.00215759i
\(647\) 15.0857i 0.593078i −0.955021 0.296539i \(-0.904167\pi\)
0.955021 0.296539i \(-0.0958325\pi\)
\(648\) 8.62172 5.34344i 0.338693 0.209910i
\(649\) −11.8135 + 32.4573i −0.463721 + 1.27406i
\(650\) −14.5960 + 15.7971i −0.572504 + 0.619615i
\(651\) 10.9858 1.93710i 0.430569 0.0759210i
\(652\) −12.9403 + 12.7280i −0.506781 + 0.498467i
\(653\) 0.273124 0.473065i 0.0106882 0.0185124i −0.860632 0.509228i \(-0.829931\pi\)
0.871320 + 0.490715i \(0.163264\pi\)
\(654\) 1.42616 29.8328i 0.0557671 1.16656i
\(655\) −34.7967 + 41.4691i −1.35962 + 1.62033i
\(656\) −0.373927 2.34702i −0.0145994 0.0916359i
\(657\) −9.26885 16.0541i −0.361612 0.626331i
\(658\) 4.59440 + 8.91558i 0.179108 + 0.347565i
\(659\) −37.6501 + 13.7035i −1.46664 + 0.533813i −0.947186 0.320686i \(-0.896087\pi\)
−0.519453 + 0.854499i \(0.673864\pi\)
\(660\) −16.4842 23.9612i −0.641647 0.932690i
\(661\) 45.3693 + 7.99983i 1.76466 + 0.311157i 0.959460 0.281844i \(-0.0909461\pi\)
0.805201 + 0.593002i \(0.202057\pi\)
\(662\) 25.8125 19.6376i 1.00323 0.763236i
\(663\) 0.296908 + 0.353842i 0.0115310 + 0.0137421i
\(664\) 2.19091 15.1836i 0.0850237 0.589237i
\(665\) 11.0373 + 37.9594i 0.428008 + 1.47200i
\(666\) 15.8190 + 10.1701i 0.612976 + 0.394082i
\(667\) 0.889078 0.746025i 0.0344252 0.0288862i
\(668\) 1.82858 + 23.0996i 0.0707498 + 0.893750i
\(669\) 1.79568 10.1838i 0.0694249 0.393728i
\(670\) −7.98926 3.34803i −0.308652 0.129346i
\(671\) −4.39844 12.0846i −0.169800 0.466522i
\(672\) 5.51324 22.6426i 0.212678 0.873456i
\(673\) 16.3438 9.43611i 0.630008 0.363735i −0.150747 0.988572i \(-0.548168\pi\)
0.780755 + 0.624837i \(0.214835\pi\)
\(674\) 3.76857 + 12.1270i 0.145160 + 0.467115i
\(675\) 14.5956 + 12.2472i 0.561787 + 0.471395i
\(676\) 8.24151 11.5653i 0.316981 0.444820i
\(677\) 26.5149 + 15.3084i 1.01905 + 0.588349i 0.913829 0.406100i \(-0.133111\pi\)
0.105222 + 0.994449i \(0.466445\pi\)
\(678\) 14.2780 + 3.22736i 0.548343 + 0.123946i
\(679\) −5.14534 29.1807i −0.197460 1.11985i
\(680\) 0.200481 0.609378i 0.00768808 0.0233686i
\(681\) 6.62550 + 2.41148i 0.253890 + 0.0924082i
\(682\) 14.4909 1.84684i 0.554886 0.0707190i
\(683\) 47.0432 1.80006 0.900029 0.435829i \(-0.143545\pi\)
0.900029 + 0.435829i \(0.143545\pi\)
\(684\) −10.8636 + 2.06032i −0.415382 + 0.0787783i
\(685\) 46.4093 1.77321
\(686\) −18.4426 + 2.35047i −0.704142 + 0.0897414i
\(687\) 3.88517 + 1.41409i 0.148228 + 0.0539508i
\(688\) −34.3916 + 27.9018i −1.31117 + 1.06374i
\(689\) 0.734994 + 4.16836i 0.0280010 + 0.158802i
\(690\) −11.8106 2.66964i −0.449622 0.101631i
\(691\) −0.680964 0.393155i −0.0259051 0.0149563i 0.486992 0.873407i \(-0.338094\pi\)
−0.512897 + 0.858450i \(0.671428\pi\)
\(692\) −4.96535 3.53834i −0.188754 0.134507i
\(693\) 11.6032 + 9.73627i 0.440771 + 0.369850i
\(694\) 11.6953 + 37.6348i 0.443948 + 1.42860i
\(695\) 29.4375 16.9958i 1.11663 0.644686i
\(696\) 1.51122 + 1.18968i 0.0572827 + 0.0450945i
\(697\) −0.0159101 0.0437126i −0.000602638 0.00165573i
\(698\) 9.47983 + 3.97268i 0.358817 + 0.150368i
\(699\) 3.26378 18.5098i 0.123448 0.700106i
\(700\) 21.1729 1.67606i 0.800262 0.0633493i
\(701\) −28.6734 + 24.0598i −1.08298 + 0.908727i −0.996165 0.0874973i \(-0.972113\pi\)
−0.0868142 + 0.996225i \(0.527669\pi\)
\(702\) −29.9564 19.2590i −1.13063 0.726883i
\(703\) 26.9991 + 36.8725i 1.01829 + 1.39067i
\(704\) 8.62732 29.2724i 0.325154 1.10324i
\(705\) 5.55113 + 6.61557i 0.209068 + 0.249157i
\(706\) −12.7837 + 9.72552i −0.481119 + 0.366025i
\(707\) −49.5069 8.72939i −1.86190 0.328303i
\(708\) −19.6331 + 13.5066i −0.737856 + 0.507610i
\(709\) 30.0394 10.9335i 1.12815 0.410615i 0.290533 0.956865i \(-0.406168\pi\)
0.837622 + 0.546250i \(0.183945\pi\)
\(710\) −5.43787 10.5524i −0.204080 0.396023i
\(711\) −4.41213 7.64204i −0.165468 0.286599i
\(712\) −6.27467 + 5.60807i −0.235153 + 0.210171i
\(713\) 3.90934 4.65897i 0.146406 0.174480i
\(714\) 0.0217806 0.455614i 0.000815117 0.0170509i
\(715\) −24.7724 + 42.9071i −0.926436 + 1.60463i
\(716\) −6.08060 6.18202i −0.227243 0.231033i
\(717\) 16.0889 2.83690i 0.600850 0.105946i
\(718\) −15.4636 + 16.7361i −0.577097 + 0.624585i
\(719\) −0.247417 + 0.679772i −0.00922709 + 0.0253512i −0.944221 0.329313i \(-0.893183\pi\)
0.934994 + 0.354665i \(0.115405\pi\)
\(720\) −0.243100 + 14.6953i −0.00905980 + 0.547663i
\(721\) 35.6839i 1.32894i
\(722\) −26.4361 4.80981i −0.983849 0.179003i
\(723\) 11.8532i 0.440824i
\(724\) −1.72909 + 3.62936i −0.0642610 + 0.134884i
\(725\) −0.599523 + 1.64718i −0.0222657 + 0.0611746i
\(726\) −4.85451 4.48541i −0.180168 0.166469i
\(727\) 13.3127 2.34739i 0.493741 0.0870598i 0.0787667 0.996893i \(-0.474902\pi\)
0.414974 + 0.909833i \(0.363791\pi\)
\(728\) −38.8615 + 8.11095i −1.44030 + 0.300612i
\(729\) −13.3612 + 23.1423i −0.494859 + 0.857121i
\(730\) −59.8096 2.85919i −2.21365 0.105823i
\(731\) −0.557184 + 0.664026i −0.0206082 + 0.0245599i
\(732\) 2.36720 8.55099i 0.0874943 0.316054i
\(733\) −21.2697 36.8401i −0.785613 1.36072i −0.928632 0.371002i \(-0.879014\pi\)
0.143019 0.989720i \(-0.454319\pi\)
\(734\) −35.6884 + 18.3910i −1.31728 + 0.678825i
\(735\) 10.0327 3.65160i 0.370061 0.134691i
\(736\) −5.63241 11.3887i −0.207614 0.419791i
\(737\) −7.94317 1.40060i −0.292590 0.0515916i
\(738\) 0.645289 + 0.848196i 0.0237534 + 0.0312225i
\(739\) 0.408212 + 0.486488i 0.0150163 + 0.0178957i 0.773500 0.633796i \(-0.218504\pi\)
−0.758484 + 0.651692i \(0.774060\pi\)
\(740\) 55.2642 25.2158i 2.03155 0.926951i
\(741\) −15.1929 20.7488i −0.558124 0.762227i
\(742\) 2.26034 3.51585i 0.0829797 0.129071i
\(743\) 29.7921 24.9985i 1.09297 0.917107i 0.0960331 0.995378i \(-0.469385\pi\)
0.996932 + 0.0782714i \(0.0249401\pi\)
\(744\) 8.88137 + 4.76431i 0.325607 + 0.174668i
\(745\) 7.75259 43.9671i 0.284033 1.61083i
\(746\) 0.423745 1.01116i 0.0155144 0.0370213i
\(747\) 2.35286 + 6.46444i 0.0860868 + 0.236522i
\(748\) 0.0569792 0.594594i 0.00208337 0.0217405i
\(749\) −24.2888 + 14.0231i −0.887492 + 0.512394i
\(750\) −8.27751 + 2.57230i −0.302252 + 0.0939273i
\(751\) 22.5368 + 18.9106i 0.822380 + 0.690059i 0.953528 0.301304i \(-0.0974220\pi\)
−0.131148 + 0.991363i \(0.541866\pi\)
\(752\) −1.72093 + 8.89673i −0.0627558 + 0.324430i
\(753\) 11.4163 + 6.59121i 0.416034 + 0.240197i
\(754\) 0.722362 3.19576i 0.0263069 0.116383i
\(755\) 4.06135 + 23.0330i 0.147807 + 0.838258i
\(756\) 8.82090 + 34.0438i 0.320813 + 1.23816i
\(757\) −17.9630 6.53799i −0.652875 0.237627i −0.00571806 0.999984i \(-0.501820\pi\)
−0.647157 + 0.762356i \(0.724042\pi\)
\(758\) −1.46744 11.5140i −0.0532998 0.418209i
\(759\) −11.2745 −0.409237
\(760\) −13.3783 + 33.1155i −0.485281 + 1.20122i
\(761\) −6.81878 −0.247181 −0.123590 0.992333i \(-0.539441\pi\)
−0.123590 + 0.992333i \(0.539441\pi\)
\(762\) −3.44596 27.0382i −0.124834 0.979490i
\(763\) 47.2129 + 17.1841i 1.70922 + 0.622105i
\(764\) −3.56000 13.7396i −0.128796 0.497082i
\(765\) 0.0499539 + 0.283303i 0.00180609 + 0.0102428i
\(766\) 9.42195 41.6832i 0.340429 1.50607i
\(767\) 35.1567 + 20.2977i 1.26943 + 0.732908i
\(768\) 16.5677 12.9928i 0.597834 0.468838i
\(769\) −27.3710 22.9670i −0.987022 0.828210i −0.00188826 0.999998i \(-0.500601\pi\)
−0.985134 + 0.171788i \(0.945045\pi\)
\(770\) 46.7216 14.5191i 1.68373 0.523233i
\(771\) 1.33904 0.773098i 0.0482245 0.0278424i
\(772\) 0.692940 7.23103i 0.0249395 0.260250i