Properties

Label 76.2.k.a.51.1
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 51.1
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35051 - 0.419681i) q^{2} +(-1.23656 - 0.450071i) q^{3} +(1.64774 + 1.13356i) q^{4} +(-0.503046 - 2.85292i) q^{5} +(1.48110 + 1.12678i) q^{6} +(-2.71118 - 1.56530i) q^{7} +(-1.74954 - 2.22241i) q^{8} +(-0.971618 - 0.815285i) q^{9} +O(q^{10})\) \(q+(-1.35051 - 0.419681i) q^{2} +(-1.23656 - 0.450071i) q^{3} +(1.64774 + 1.13356i) q^{4} +(-0.503046 - 2.85292i) q^{5} +(1.48110 + 1.12678i) q^{6} +(-2.71118 - 1.56530i) q^{7} +(-1.74954 - 2.22241i) q^{8} +(-0.971618 - 0.815285i) q^{9} +(-0.517948 + 4.06400i) q^{10} +(3.30359 - 1.90733i) q^{11} +(-1.52734 - 2.14332i) q^{12} +(1.53341 + 4.21300i) q^{13} +(3.00454 + 3.25178i) q^{14} +(-0.661968 + 3.75421i) q^{15} +(1.43006 + 3.73563i) 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} +(-5.26199 + 1.18940i) q^{22} +(-2.21189 - 0.390015i) q^{23} +(1.16317 + 3.53556i) q^{24} +(-3.18761 + 1.16020i) q^{25} +(-0.302759 - 6.33322i) q^{26} +(2.80841 + 4.86430i) q^{27} +(-2.69294 - 5.65251i) q^{28} +(0.332156 - 0.395848i) q^{29} +(2.46956 - 4.79226i) q^{30} +(-1.35392 + 2.34507i) q^{31} +(-0.363540 - 5.64516i) q^{32} +(-4.94351 + 0.871675i) q^{33} +(-0.102118 + 0.0427943i) q^{34} +(-3.10183 + 8.52220i) q^{35} +(-0.676793 - 2.44476i) q^{36} -10.4844i q^{37} +(-5.83033 + 2.00181i) q^{38} -5.89976i q^{39} +(-5.46025 + 6.10927i) q^{40} +(0.203213 - 0.558324i) q^{41} +(-2.25176 - 5.37328i) q^{42} +(10.9034 - 1.92257i) q^{43} +(7.60552 + 0.602057i) q^{44} +(-1.83717 + 3.18207i) q^{45} +(2.82348 + 1.45500i) q^{46} +(1.45618 - 1.73541i) q^{47} +(-0.0870632 - 5.26296i) q^{48} +(1.40035 + 2.42547i) q^{49} +(4.79180 - 0.229071i) q^{50} +(-0.0968133 + 0.0352372i) q^{51} +(-2.24906 + 8.68012i) q^{52} +(0.929735 + 0.163937i) q^{53} +(-1.75132 - 7.74791i) 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} +(-5.34638 + 5.43556i) q^{60} +(-0.585413 + 3.32004i) q^{61} +(2.81266 - 2.59881i) q^{62} +(1.35807 + 3.73126i) q^{63} +(-1.87820 + 7.77640i) q^{64} +(11.2480 - 6.49401i) q^{65} +(7.04207 + 0.897497i) q^{66} +(-1.61972 - 1.35911i) q^{67} +(0.155871 - 0.0149369i) q^{68} +(2.55959 + 1.47778i) q^{69} +(7.76564 - 10.2075i) q^{70} +(-0.503163 - 2.85358i) q^{71} +(-0.112009 + 3.58571i) q^{72} +(13.7341 + 4.99880i) q^{73} +(-4.40011 + 14.1593i) q^{74} +4.46384 q^{75} +(8.71402 - 0.256572i) q^{76} -11.9422 q^{77} +(-2.47602 + 7.96767i) q^{78} +(-6.53766 - 2.37952i) q^{79} +(9.93804 - 5.95905i) q^{80} +(-0.622736 - 3.53171i) q^{81} +(-0.508759 + 0.668736i) q^{82} +(4.69715 + 2.71190i) q^{83} +(0.785956 + 8.20167i) q^{84} +(-0.173745 - 0.145789i) q^{85} +(-15.5320 - 1.97952i) q^{86} +(-0.588891 + 0.339996i) q^{87} +(-10.0186 - 4.00497i) q^{88} +(1.01763 + 2.79592i) q^{89} +(3.81656 - 3.52638i) q^{90} +(2.43727 - 13.8225i) q^{91} +(-3.20249 - 3.14996i) 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} +(-0.873252 - 3.86331i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35051 0.419681i −0.954952 0.296759i
\(3\) −1.23656 0.450071i −0.713928 0.259848i −0.0405821 0.999176i \(-0.512921\pi\)
−0.673346 + 0.739328i \(0.735143\pi\)
\(4\) 1.64774 + 1.13356i 0.823868 + 0.566782i
\(5\) −0.503046 2.85292i −0.224969 1.27586i −0.862744 0.505640i \(-0.831256\pi\)
0.637775 0.770222i \(-0.279855\pi\)
\(6\) 1.48110 + 1.12678i 0.604655 + 0.460008i
\(7\) −2.71118 1.56530i −1.02473 0.591629i −0.109260 0.994013i \(-0.534848\pi\)
−0.915471 + 0.402384i \(0.868182\pi\)
\(8\) −1.74954 2.22241i −0.618557 0.785740i
\(9\) −0.971618 0.815285i −0.323873 0.271762i
\(10\) −0.517948 + 4.06400i −0.163790 + 1.28515i
\(11\) 3.30359 1.90733i 0.996069 0.575081i 0.0889863 0.996033i \(-0.471637\pi\)
0.907083 + 0.420952i \(0.138304\pi\)
\(12\) −1.52734 2.14332i −0.440905 0.618722i
\(13\) 1.53341 + 4.21300i 0.425290 + 1.16848i 0.948640 + 0.316358i \(0.102460\pi\)
−0.523350 + 0.852118i \(0.675318\pi\)
\(14\) 3.00454 + 3.25178i 0.802998 + 0.869076i
\(15\) −0.661968 + 3.75421i −0.170919 + 0.969332i
\(16\) 1.43006 + 3.73563i 0.357516 + 0.933907i
\(17\) 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
\(22\) −5.26199 + 1.18940i −1.12186 + 0.253582i
\(23\) −2.21189 0.390015i −0.461210 0.0813238i −0.0617846 0.998090i \(-0.519679\pi\)
−0.399425 + 0.916766i \(0.630790\pi\)
\(24\) 1.16317 + 3.53556i 0.237431 + 0.721693i
\(25\) −3.18761 + 1.16020i −0.637522 + 0.232039i
\(26\) −0.302759 6.33322i −0.0593759 1.24205i
\(27\) 2.80841 + 4.86430i 0.540478 + 0.936135i
\(28\) −2.69294 5.65251i −0.508918 1.06822i
\(29\) 0.332156 0.395848i 0.0616799 0.0735072i −0.734322 0.678801i \(-0.762500\pi\)
0.796002 + 0.605294i \(0.206944\pi\)
\(30\) 2.46956 4.79226i 0.450878 0.874944i
\(31\) −1.35392 + 2.34507i −0.243172 + 0.421186i −0.961616 0.274398i \(-0.911521\pi\)
0.718444 + 0.695585i \(0.244855\pi\)
\(32\) −0.363540 5.64516i −0.0642653 0.997933i
\(33\) −4.94351 + 0.871675i −0.860555 + 0.151739i
\(34\) −0.102118 + 0.0427943i −0.0175131 + 0.00733915i
\(35\) −3.10183 + 8.52220i −0.524304 + 1.44051i
\(36\) −0.676793 2.44476i −0.112799 0.407461i
\(37\) 10.4844i 1.72363i −0.507227 0.861813i \(-0.669329\pi\)
0.507227 0.861813i \(-0.330671\pi\)
\(38\) −5.83033 + 2.00181i −0.945805 + 0.324736i
\(39\) 5.89976i 0.944718i
\(40\) −5.46025 + 6.10927i −0.863341 + 0.965961i
\(41\) 0.203213 0.558324i 0.0317366 0.0871956i −0.922812 0.385250i \(-0.874115\pi\)
0.954549 + 0.298054i \(0.0963376\pi\)
\(42\) −2.25176 5.37328i −0.347455 0.829115i
\(43\) 10.9034 1.92257i 1.66276 0.293189i 0.738298 0.674474i \(-0.235630\pi\)
0.924457 + 0.381286i \(0.124519\pi\)
\(44\) 7.60552 + 0.602057i 1.14657 + 0.0907636i
\(45\) −1.83717 + 3.18207i −0.273869 + 0.474355i
\(46\) 2.82348 + 1.45500i 0.416300 + 0.214529i
\(47\) 1.45618 1.73541i 0.212405 0.253135i −0.649314 0.760521i \(-0.724944\pi\)
0.861719 + 0.507386i \(0.169388\pi\)
\(48\) −0.0870632 5.26296i −0.0125665 0.759642i
\(49\) 1.40035 + 2.42547i 0.200049 + 0.346496i
\(50\) 4.79180 0.229071i 0.677663 0.0323956i
\(51\) −0.0968133 + 0.0352372i −0.0135566 + 0.00493419i
\(52\) −2.24906 + 8.68012i −0.311888 + 1.20372i
\(53\) 0.929735 + 0.163937i 0.127709 + 0.0225185i 0.237137 0.971476i \(-0.423791\pi\)
−0.109428 + 0.993995i \(0.534902\pi\)
\(54\) −1.75132 7.74791i −0.238324 1.05436i
\(55\) −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 −0.970779 0.239974i \(-0.922861\pi\)
0.0677542 + 0.997702i \(0.478417\pi\)
\(60\) −5.34638 + 5.43556i −0.690215 + 0.701727i
\(61\) −0.585413 + 3.32004i −0.0749544 + 0.425088i 0.924121 + 0.382100i \(0.124799\pi\)
−0.999076 + 0.0429882i \(0.986312\pi\)
\(62\) 2.81266 2.59881i 0.357209 0.330049i
\(63\) 1.35807 + 3.73126i 0.171101 + 0.470095i
\(64\) −1.87820 + 7.77640i −0.234776 + 0.972050i
\(65\) 11.2480 6.49401i 1.39514 0.805483i
\(66\) 7.04207 + 0.897497i 0.866819 + 0.110474i
\(67\) −1.61972 1.35911i −0.197881 0.166042i 0.538463 0.842649i \(-0.319005\pi\)
−0.736344 + 0.676607i \(0.763450\pi\)
\(68\) 0.155871 0.0149369i 0.0189021 0.00181137i
\(69\) 2.55959 + 1.47778i 0.308139 + 0.177904i
\(70\) 7.76564 10.2075i 0.928172 1.22003i
\(71\) −0.503163 2.85358i −0.0597145 0.338657i 0.940284 0.340391i \(-0.110559\pi\)
−0.999998 + 0.00173334i \(0.999448\pi\)
\(72\) −0.112009 + 3.58571i −0.0132003 + 0.422580i
\(73\) 13.7341 + 4.99880i 1.60745 + 0.585066i 0.980934 0.194340i \(-0.0622563\pi\)
0.626520 + 0.779405i \(0.284479\pi\)
\(74\) −4.40011 + 14.1593i −0.511502 + 1.64598i
\(75\) 4.46384 0.515440
\(76\) 8.71402 0.256572i 0.999567 0.0294308i
\(77\) −11.9422 −1.36094
\(78\) −2.47602 + 7.96767i −0.280354 + 0.902161i
\(79\) −6.53766 2.37952i −0.735545 0.267716i −0.0530348 0.998593i \(-0.516889\pi\)
−0.682510 + 0.730876i \(0.739112\pi\)
\(80\) 9.93804 5.95905i 1.11111 0.666242i
\(81\) −0.622736 3.53171i −0.0691929 0.392413i
\(82\) −0.508759 + 0.668736i −0.0561831 + 0.0738495i
\(83\) 4.69715 + 2.71190i 0.515579 + 0.297670i 0.735124 0.677933i \(-0.237124\pi\)
−0.219545 + 0.975602i \(0.570457\pi\)
\(84\) 0.785956 + 8.20167i 0.0857548 + 0.894876i
\(85\) −0.173745 0.145789i −0.0188453 0.0158131i
\(86\) −15.5320 1.97952i −1.67486 0.213457i
\(87\) −0.588891 + 0.339996i −0.0631357 + 0.0364514i
\(88\) −10.0186 4.00497i −1.06799 0.426932i
\(89\) 1.01763 + 2.79592i 0.107869 + 0.296367i 0.981870 0.189557i \(-0.0607053\pi\)
−0.874001 + 0.485924i \(0.838483\pi\)
\(90\) 3.81656 3.52638i 0.402301 0.371713i
\(91\) 2.43727 13.8225i 0.255496 1.44899i
\(92\) −3.20249 3.14996i −0.333883 0.328406i
\(93\) 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 \(0.937325\pi\)
\(98\) −0.873252 3.86331i −0.0882118 0.390253i
\(99\) −4.76484 0.840170i −0.478885 0.0844403i
\(100\) −6.56750 1.70167i −0.656750 0.170167i
\(101\) −15.0894 + 5.49209i −1.50145 + 0.546483i −0.956435 0.291944i \(-0.905698\pi\)
−0.545014 + 0.838427i \(0.683476\pi\)
\(102\) 0.145535 0.00695730i 0.0144102 0.000688876i
\(103\) 5.69920 + 9.87131i 0.561559 + 0.972649i 0.997361 + 0.0726061i \(0.0231316\pi\)
−0.435802 + 0.900043i \(0.643535\pi\)
\(104\) 6.68025 10.7787i 0.655052 1.05694i
\(105\) 7.67119 9.14216i 0.748631 0.892184i
\(106\) −1.18681 0.611591i −0.115273 0.0594029i
\(107\) 4.47937 7.75849i 0.433037 0.750041i −0.564096 0.825709i \(-0.690775\pi\)
0.997133 + 0.0756674i \(0.0241087\pi\)
\(108\) −0.886488 + 11.1986i −0.0853023 + 1.07758i
\(109\) 15.8051 2.78687i 1.51386 0.266934i 0.645841 0.763472i \(-0.276507\pi\)
0.868015 + 0.496539i \(0.165396\pi\)
\(110\) 6.04029 + 14.4137i 0.575919 + 1.37429i
\(111\) −4.71872 + 12.9646i −0.447881 + 1.23054i
\(112\) 1.97022 12.3665i 0.186168 1.16852i
\(113\) 7.86582i 0.739954i 0.929041 + 0.369977i \(0.120634\pi\)
−0.929041 + 0.369977i \(0.879366\pi\)
\(114\) 8.11051 + 0.148710i 0.759618 + 0.0139280i
\(115\) 6.50652i 0.606736i
\(116\) 0.996025 0.275733i 0.0924786 0.0256012i
\(117\) 1.94491 5.34359i 0.179807 0.494015i
\(118\) 11.8101 4.94922i 1.08721 0.455613i
\(119\) −0.241379 + 0.0425617i −0.0221272 + 0.00390162i
\(120\) 9.50152 5.09698i 0.867366 0.465288i
\(121\) 1.77579 3.07577i 0.161436 0.279615i
\(122\) 2.18396 4.23805i 0.197727 0.383695i
\(123\) −0.502571 + 0.598941i −0.0453153 + 0.0540047i
\(124\) −4.88919 + 2.32929i −0.439062 + 0.209176i
\(125\) −2.32886 4.03371i −0.208300 0.360786i
\(126\) −0.268140 5.60905i −0.0238878 0.499694i
\(127\) −13.7632 + 5.00938i −1.22128 + 0.444511i −0.870604 0.491985i \(-0.836271\pi\)
−0.350679 + 0.936496i \(0.614049\pi\)
\(128\) 5.80013 9.71383i 0.512664 0.858589i
\(129\) −14.3480 2.52994i −1.26327 0.222749i
\(130\) −17.9159 + 4.04965i −1.57132 + 0.355178i
\(131\) 12.0116 + 14.3149i 1.04946 + 1.25070i 0.967182 + 0.254086i \(0.0817746\pi\)
0.0822765 + 0.996610i \(0.473781\pi\)
\(132\) −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
\(136\) −0.216774 0.0452437i −0.0185882 0.00387961i
\(137\) −2.78187 + 15.7768i −0.237671 + 1.34790i 0.599243 + 0.800568i \(0.295469\pi\)
−0.836914 + 0.547334i \(0.815643\pi\)
\(138\) −2.83655 3.06997i −0.241463 0.261333i
\(139\) −4.01315 11.0260i −0.340391 0.935215i −0.985281 0.170941i \(-0.945319\pi\)
0.644891 0.764275i \(-0.276903\pi\)
\(140\) −14.7714 + 10.5262i −1.24842 + 0.889627i
\(141\) −2.58171 + 1.49055i −0.217419 + 0.125527i
\(142\) −0.518068 + 4.06494i −0.0434753 + 0.341123i
\(143\) 13.1013 + 10.9933i 1.09559 + 0.919306i
\(144\) 1.65612 4.79551i 0.138010 0.399626i
\(145\) −1.29641 0.748484i −0.107661 0.0621582i
\(146\) −16.4501 12.5149i −1.36142 1.03574i
\(147\) −0.639977 3.62949i −0.0527844 0.299355i
\(148\) 11.8847 17.2755i 0.976920 1.42004i
\(149\) 14.4819 + 5.27097i 1.18640 + 0.431815i 0.858459 0.512882i \(-0.171422\pi\)
0.327943 + 0.944697i \(0.393645\pi\)
\(150\) −6.02844 1.87339i −0.492220 0.152962i
\(151\) 8.07351 0.657013 0.328506 0.944502i \(-0.393455\pi\)
0.328506 + 0.944502i \(0.393455\pi\)
\(152\) −11.8760 3.31061i −0.963272 0.268526i
\(153\) −0.0993029 −0.00802816
\(154\) 16.1280 + 5.01191i 1.29963 + 0.403871i
\(155\) 7.37136 + 2.68296i 0.592082 + 0.215500i
\(156\) 6.68776 9.72125i 0.535449 0.778323i
\(157\) 0.547741 + 3.10639i 0.0437145 + 0.247917i 0.998832 0.0483086i \(-0.0153831\pi\)
−0.955118 + 0.296226i \(0.904272\pi\)
\(158\) 7.83052 + 5.95729i 0.622963 + 0.473936i
\(159\) −1.07589 0.621165i −0.0853236 0.0492616i
\(160\) −15.9223 + 3.87692i −1.25877 + 0.306498i
\(161\) 5.38634 + 4.51967i 0.424503 + 0.356200i
\(162\) −0.641184 + 5.03095i −0.0503762 + 0.395269i
\(163\) −7.85954 + 4.53771i −0.615607 + 0.355421i −0.775157 0.631769i \(-0.782329\pi\)
0.159550 + 0.987190i \(0.448996\pi\)
\(164\) 0.967738 0.689615i 0.0755677 0.0538499i
\(165\) 4.97363 + 13.6649i 0.387197 + 1.06381i
\(166\) −5.20540 5.63374i −0.404017 0.437263i
\(167\) −2.01187 + 11.4099i −0.155684 + 0.882925i 0.802475 + 0.596686i \(0.203516\pi\)
−0.958158 + 0.286239i \(0.907595\pi\)
\(168\) 2.38065 11.4063i 0.183671 0.880012i
\(169\) −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 \(0.740806\pi\)
\(174\) 0.937990 0.212021i 0.0711089 0.0160733i
\(175\) 10.4583 + 1.84407i 0.790570 + 0.139399i
\(176\) 11.8494 + 9.61337i 0.893183 + 0.724635i
\(177\) 11.1966 4.07524i 0.841589 0.306313i
\(178\) −0.200923 4.20299i −0.0150598 0.315027i
\(179\) −2.16782 3.75477i −0.162030 0.280645i 0.773566 0.633715i \(-0.218471\pi\)
−0.935597 + 0.353070i \(0.885138\pi\)
\(180\) −6.63425 + 3.16066i −0.494488 + 0.235582i
\(181\) 1.29207 1.53983i 0.0960386 0.114454i −0.715885 0.698219i \(-0.753976\pi\)
0.811923 + 0.583764i \(0.198421\pi\)
\(182\) −9.09258 + 17.6444i −0.673987 + 1.30789i
\(183\) 2.21815 3.84195i 0.163970 0.284005i
\(184\) 3.00301 + 5.59806i 0.221385 + 0.412695i
\(185\) −29.9111 + 5.27414i −2.19911 + 0.387762i
\(186\) −4.64767 + 1.94769i −0.340784 + 0.142811i
\(187\) 0.102147 0.280648i 0.00746976 0.0205230i
\(188\) 4.36659 1.20882i 0.318466 0.0881621i
\(189\) 17.5840i 1.27905i
\(190\) 8.64391 + 15.6264i 0.627095 + 1.13366i
\(191\) 7.09667i 0.513497i −0.966478 0.256749i \(-0.917349\pi\)
0.966478 0.256749i \(-0.0826512\pi\)
\(192\) 5.82244 8.77065i 0.420198 0.632967i
\(193\) −1.24224 + 3.41304i −0.0894186 + 0.245676i −0.976339 0.216247i \(-0.930618\pi\)
0.886920 + 0.461923i \(0.152840\pi\)
\(194\) 5.17345 + 12.3452i 0.371432 + 0.886332i
\(195\) −16.8315 + 2.96785i −1.20533 + 0.212532i
\(196\) −0.442026 + 5.58391i −0.0315733 + 0.398851i
\(197\) 8.46348 14.6592i 0.602998 1.04442i −0.389366 0.921083i \(-0.627306\pi\)
0.992364 0.123340i \(-0.0393607\pi\)
\(198\) 6.08234 + 3.13437i 0.432253 + 0.222750i
\(199\) 4.24439 5.05827i 0.300877 0.358571i −0.594331 0.804221i \(-0.702583\pi\)
0.895207 + 0.445650i \(0.147027\pi\)
\(200\) 8.15529 + 5.05436i 0.576666 + 0.357398i
\(201\) 1.39119 + 2.40961i 0.0981269 + 0.169961i
\(202\) 22.6832 1.08437i 1.59599 0.0762959i
\(203\) −1.52016 + 0.553293i −0.106694 + 0.0388335i
\(204\) −0.199466 0.0516826i −0.0139654 0.00361850i
\(205\) −1.69508 0.298888i −0.118389 0.0208752i
\(206\) −3.55401 15.7231i −0.247619 1.09548i
\(207\) 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 −0.681427 0.731886i \(-0.738640\pi\)
0.602439 + 0.798165i \(0.294196\pi\)
\(212\) 1.34612 + 1.32404i 0.0924522 + 0.0909354i
\(213\) −0.662122 + 3.75508i −0.0453678 + 0.257294i
\(214\) −9.30550 + 8.59798i −0.636111 + 0.587746i
\(215\) −10.9698 30.1394i −0.748137 2.05549i
\(216\) 5.89704 14.7517i 0.401243 1.00373i
\(217\) 7.34148 4.23860i 0.498372 0.287735i
\(218\) −22.5145 2.86942i −1.52487 0.194342i
\(219\) −14.7332 12.3626i −0.995578 0.835389i
\(220\) −2.10831 22.0008i −0.142142 1.48329i
\(221\) 0.303988 + 0.175508i 0.0204484 + 0.0118059i
\(222\) 11.8137 15.5284i 0.792881 1.04220i
\(223\) 1.36458 + 7.73892i 0.0913791 + 0.518237i 0.995797 + 0.0915888i \(0.0291945\pi\)
−0.904418 + 0.426648i \(0.859694\pi\)
\(224\) −7.85076 + 15.8741i −0.524551 + 1.06063i
\(225\) 4.04303 + 1.47154i 0.269535 + 0.0981028i
\(226\) 3.30113 10.6228i 0.219588 0.706620i
\(227\) −5.35801 −0.355624 −0.177812 0.984065i \(-0.556902\pi\)
−0.177812 + 0.984065i \(0.556902\pi\)
\(228\) −10.8909 3.60466i −0.721266 0.238724i
\(229\) 3.14192 0.207624 0.103812 0.994597i \(-0.466896\pi\)
0.103812 + 0.994597i \(0.466896\pi\)
\(230\) 2.73066 8.78709i 0.180055 0.579404i
\(231\) 14.7672 + 5.37483i 0.971611 + 0.353638i
\(232\) −1.46086 0.0456336i −0.0959100 0.00299599i
\(233\) −2.48023 14.0661i −0.162485 0.921500i −0.951619 0.307279i \(-0.900582\pi\)
0.789134 0.614221i \(-0.210530\pi\)
\(234\) −4.86921 + 6.40031i −0.318310 + 0.418401i
\(235\) −5.68349 3.28136i −0.370750 0.214053i
\(236\) −18.0267 + 1.72748i −1.17344 + 0.112449i
\(237\) 7.01326 + 5.88482i 0.455560 + 0.382260i
\(238\) 0.343847 + 0.0438225i 0.0222883 + 0.00284059i
\(239\) −10.7517 + 6.20747i −0.695467 + 0.401528i −0.805657 0.592382i \(-0.798187\pi\)
0.110190 + 0.993911i \(0.464854\pi\)
\(240\) −14.9710 + 2.89589i −0.966372 + 0.186929i
\(241\) −3.08075 8.46430i −0.198449 0.545234i 0.800054 0.599928i \(-0.204804\pi\)
−0.998503 + 0.0546939i \(0.982582\pi\)
\(242\) −3.68906 + 3.40858i −0.237142 + 0.219112i
\(243\) 2.10658 11.9470i 0.135137 0.766400i
\(244\) −4.72809 + 4.80695i −0.302685 + 0.307733i
\(245\) 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
\(250\) 1.45227 + 6.42493i 0.0918498 + 0.406348i
\(251\) −9.86546 1.73955i −0.622703 0.109799i −0.146610 0.989194i \(-0.546836\pi\)
−0.476093 + 0.879395i \(0.657947\pi\)
\(252\) −1.99189 + 7.68759i −0.125477 + 0.484273i
\(253\) −8.05104 + 2.93034i −0.506165 + 0.184229i
\(254\) 20.6896 0.989063i 1.29818 0.0620593i
\(255\) 0.149230 + 0.258474i 0.00934516 + 0.0161863i
\(256\) −11.9098 + 10.6844i −0.744364 + 0.667774i
\(257\) 0.755271 0.900097i 0.0471125 0.0561465i −0.741974 0.670429i \(-0.766110\pi\)
0.789086 + 0.614283i \(0.210554\pi\)
\(258\) 18.3153 + 9.43829i 1.14026 + 0.587602i
\(259\) −16.4113 + 28.4251i −1.01975 + 1.76625i
\(260\) 25.8950 + 2.04987i 1.60594 + 0.127127i
\(261\) −0.645458 + 0.113812i −0.0399528 + 0.00704477i
\(262\) −10.2141 24.3734i −0.631027 1.50579i
\(263\) 10.0964 27.7395i 0.622568 1.71049i −0.0780441 0.996950i \(-0.524868\pi\)
0.700612 0.713542i \(-0.252910\pi\)
\(264\) 10.5861 + 9.46148i 0.651530 + 0.582314i
\(265\) 2.73492i 0.168005i
\(266\) 18.9405 + 3.69897i 1.16132 + 0.226798i
\(267\) 3.91533i 0.239614i
\(268\) −1.12824 4.07552i −0.0689182 0.248952i
\(269\) 3.18316 8.74565i 0.194081 0.533232i −0.804036 0.594581i \(-0.797318\pi\)
0.998116 + 0.0613489i \(0.0195402\pi\)
\(270\) −21.2231 + 8.89391i −1.29160 + 0.541266i
\(271\) −5.26894 + 0.929056i −0.320065 + 0.0564361i −0.331373 0.943500i \(-0.607512\pi\)
0.0113075 + 0.999936i \(0.496401\pi\)
\(272\) 0.273766 + 0.152078i 0.0165995 + 0.00922106i
\(273\) −9.23492 + 15.9953i −0.558923 + 0.968082i
\(274\) 10.3782 20.1392i 0.626967 1.21665i
\(275\) −8.31768 + 9.91262i −0.501575 + 0.597754i
\(276\) 2.54237 + 5.33646i 0.153033 + 0.321217i
\(277\) 7.47083 + 12.9398i 0.448878 + 0.777480i 0.998313 0.0580563i \(-0.0184903\pi\)
−0.549435 + 0.835537i \(0.685157\pi\)
\(278\) 0.792364 + 16.5750i 0.0475228 + 0.994100i
\(279\) 3.22739 1.17468i 0.193219 0.0703260i
\(280\) 24.3666 8.01642i 1.45618 0.479073i
\(281\) 19.3541 + 3.41264i 1.15457 + 0.203581i 0.717968 0.696076i \(-0.245072\pi\)
0.436598 + 0.899657i \(0.356183\pi\)
\(282\) 4.11217 0.929502i 0.244876 0.0553511i
\(283\) −6.74711 8.04090i −0.401074 0.477982i 0.527273 0.849696i \(-0.323215\pi\)
−0.928347 + 0.371714i \(0.878770\pi\)
\(284\) 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
\(288\) −4.24919 + 5.78133i −0.250386 + 0.340668i
\(289\) −2.95095 + 16.7357i −0.173586 + 0.984453i
\(290\) 1.43669 + 1.55491i 0.0843652 + 0.0913076i
\(291\) 4.25987 + 11.7039i 0.249718 + 0.686094i
\(292\) 16.9637 + 23.8052i 0.992725 + 1.39309i
\(293\) −14.0762 + 8.12692i −0.822343 + 0.474780i −0.851224 0.524803i \(-0.824139\pi\)
0.0288809 + 0.999583i \(0.490806\pi\)
\(294\) −0.658935 + 5.17024i −0.0384299 + 0.301534i
\(295\) 20.0939 + 16.8608i 1.16991 + 0.981671i
\(296\) −23.3006 + 18.3429i −1.35432 + 1.06616i
\(297\) 18.5556 + 10.7131i 1.07671 + 0.621637i
\(298\) −17.3457 13.1963i −1.00481 0.764439i
\(299\) −1.74859 9.91672i −0.101123 0.573499i
\(300\) 7.35523 + 5.06005i 0.424654 + 0.292142i
\(301\) −32.5706 11.8547i −1.87734 0.683295i
\(302\) −10.9033 3.38830i −0.627416 0.194975i
\(303\) 21.1307 1.21393
\(304\) 14.6492 + 9.45514i 0.840192 + 0.542289i
\(305\) 9.76629 0.559216
\(306\) 0.134109 + 0.0416756i 0.00766651 + 0.00238243i
\(307\) 23.4603 + 8.53887i 1.33895 + 0.487339i 0.909482 0.415742i \(-0.136478\pi\)
0.429470 + 0.903081i \(0.358700\pi\)
\(308\) −19.6776 13.5372i −1.12123 0.771355i
\(309\) −2.60461 14.7715i −0.148171 0.840321i
\(310\) −8.82909 6.71697i −0.501458 0.381498i
\(311\) 13.2821 + 7.66844i 0.753160 + 0.434837i 0.826835 0.562445i \(-0.190139\pi\)
−0.0736742 + 0.997282i \(0.523473\pi\)
\(312\) −13.1117 + 10.3219i −0.742303 + 0.584362i
\(313\) −8.05392 6.75804i −0.455234 0.381987i 0.386140 0.922440i \(-0.373808\pi\)
−0.841374 + 0.540453i \(0.818253\pi\)
\(314\) 0.563966 4.42508i 0.0318265 0.249722i
\(315\) 9.96181 5.75145i 0.561284 0.324058i
\(316\) −8.07501 11.3317i −0.454255 0.637456i
\(317\) 6.17206 + 16.9576i 0.346657 + 0.952433i 0.983415 + 0.181369i \(0.0580529\pi\)
−0.636758 + 0.771064i \(0.719725\pi\)
\(318\) 1.19230 + 1.29042i 0.0668611 + 0.0723630i
\(319\) 0.342295 1.94125i 0.0191648 0.108689i
\(320\) 23.1302 + 1.44647i 1.29302 + 0.0808604i
\(321\) −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
\(326\) 12.5188 2.82970i 0.693350 0.156723i
\(327\) −20.7982 3.66729i −1.15015 0.202802i
\(328\) −1.59636 + 0.525189i −0.0881440 + 0.0289987i
\(329\) −6.66440 + 2.42564i −0.367420 + 0.133730i
\(330\) −0.982004 20.5419i −0.0540576 1.13080i
\(331\) −11.4669 19.8613i −0.630278 1.09167i −0.987495 0.157652i \(-0.949607\pi\)
0.357216 0.934022i \(-0.383726\pi\)
\(332\) 4.66555 + 9.79301i 0.256055 + 0.537461i
\(333\) −8.54777 + 10.1868i −0.468415 + 0.558235i
\(334\) 7.50557 14.5648i 0.410687 0.796951i
\(335\) −3.06263 + 5.30463i −0.167329 + 0.289823i
\(336\) −8.00207 + 14.4051i −0.436549 + 0.785864i
\(337\) −8.84318 + 1.55929i −0.481719 + 0.0849400i −0.409234 0.912430i \(-0.634204\pi\)
−0.0724847 + 0.997370i \(0.523093\pi\)
\(338\) 9.26153 3.88120i 0.503761 0.211109i
\(339\) 3.54017 9.72655i 0.192276 0.528273i
\(340\) −0.121024 0.437173i −0.00656345 0.0237090i
\(341\) 10.3295i 0.559374i
\(342\) 7.29690 + 2.80839i 0.394571 + 0.151860i
\(343\) 13.1464i 0.709838i
\(344\) −23.3487 20.8682i −1.25888 1.12514i
\(345\) 2.92839 8.04569i 0.157659 0.433166i
\(346\) −1.66632 3.97626i −0.0895819 0.213765i
\(347\) 27.4438 4.83908i 1.47326 0.259775i 0.621378 0.783511i \(-0.286573\pi\)
0.851881 + 0.523735i \(0.175462\pi\)
\(348\) −1.35574 0.107321i −0.0726755 0.00575304i
\(349\) −3.63403 + 6.29433i −0.194525 + 0.336928i −0.946745 0.321985i \(-0.895650\pi\)
0.752220 + 0.658913i \(0.228983\pi\)
\(350\) −13.3500 6.87956i −0.713589 0.367728i
\(351\) −16.1869 + 19.2908i −0.863991 + 1.02966i
\(352\) −11.9682 17.9559i −0.637905 0.957052i
\(353\) −5.67899 9.83630i −0.302262 0.523533i 0.674386 0.738379i \(-0.264408\pi\)
−0.976648 + 0.214846i \(0.931075\pi\)
\(354\) −16.8314 + 0.804623i −0.894579 + 0.0427652i
\(355\) −7.88791 + 2.87096i −0.418647 + 0.152375i
\(356\) −1.49257 + 5.76049i −0.0791059 + 0.305305i
\(357\) 0.317636 + 0.0560077i 0.0168111 + 0.00296424i
\(358\) 1.35185 + 5.98064i 0.0714473 + 0.316086i
\(359\) 10.3569 + 12.3428i 0.546614 + 0.651429i 0.966657 0.256075i \(-0.0824294\pi\)
−0.420043 + 0.907504i \(0.637985\pi\)
\(360\) 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
\(364\) 19.6846 20.0130i 1.03175 1.04896i
\(365\) 7.35228 41.6969i 0.384836 2.18251i
\(366\) −4.60802 + 4.25766i −0.240865 + 0.222552i
\(367\) 9.70967 + 26.6771i 0.506841 + 1.39253i 0.884479 + 0.466580i \(0.154514\pi\)
−0.377638 + 0.925953i \(0.623264\pi\)
\(368\) −1.70619 8.82053i −0.0889412 0.459802i
\(369\) −0.652639 + 0.376801i −0.0339750 + 0.0196155i
\(370\) 42.6086 + 5.43038i 2.21512 + 0.282312i
\(371\) −2.26407 1.89978i −0.117545 0.0986317i
\(372\) 7.09412 0.679821i 0.367813 0.0352471i
\(373\) 0.671383 + 0.387623i 0.0347629 + 0.0200704i 0.517281 0.855816i \(-0.326944\pi\)
−0.482518 + 0.875886i \(0.660278\pi\)
\(374\) −0.255733 + 0.336147i −0.0132236 + 0.0173818i
\(375\) 1.06432 + 6.03607i 0.0549614 + 0.311701i
\(376\) −6.40443 0.200058i −0.330283 0.0103172i
\(377\) 2.17704 + 0.792377i 0.112123 + 0.0408095i
\(378\) −7.37968 + 23.7473i −0.379570 + 1.22143i
\(379\) −8.20752 −0.421592 −0.210796 0.977530i \(-0.567606\pi\)
−0.210796 + 0.977530i \(0.567606\pi\)
\(380\) −5.11553 24.7313i −0.262421 1.26869i
\(381\) 19.2735 0.987413
\(382\) −2.97834 + 9.58410i −0.152385 + 0.490365i
\(383\) −28.3957 10.3352i −1.45095 0.528103i −0.508095 0.861301i \(-0.669650\pi\)
−0.942857 + 0.333198i \(0.891872\pi\)
\(384\) −11.5441 + 9.40125i −0.589108 + 0.479756i
\(385\) 6.00747 + 34.0700i 0.306169 + 1.73637i
\(386\) 3.11004 4.08798i 0.158297 0.208073i
\(387\) −12.1614 7.02139i −0.618199 0.356917i
\(388\) −1.80574 18.8434i −0.0916728 0.956631i
\(389\) 7.57457 + 6.35582i 0.384046 + 0.322253i 0.814288 0.580461i \(-0.197127\pi\)
−0.430242 + 0.902713i \(0.641572\pi\)
\(390\) 23.9766 + 3.05577i 1.21410 + 0.154735i
\(391\) −0.152287 + 0.0879228i −0.00770147 + 0.00444645i
\(392\) 2.94042 7.35560i 0.148514 0.371514i
\(393\) −8.41035 23.1072i −0.424246 1.16561i
\(394\) −17.5822 + 16.2454i −0.885777 + 0.818429i
\(395\) −3.49981 + 19.8484i −0.176095 + 0.998682i
\(396\) −6.89881 6.78563i −0.346678 0.340991i
\(397\) −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 \(0.613220\pi\)
\(402\) −0.867542 3.83805i −0.0432691 0.191425i
\(403\) −11.9559 2.10814i −0.595565 0.105014i
\(404\) −31.0889 8.05528i −1.54673 0.400765i
\(405\) −9.76242 + 3.55323i −0.485098 + 0.176561i
\(406\) 2.28519 0.109243i 0.113412 0.00542165i
\(407\) −19.9972 34.6362i −0.991224 1.71685i
\(408\) 0.247690 + 0.153510i 0.0122625 + 0.00759987i
\(409\) 11.1288 13.2628i 0.550286 0.655805i −0.417175 0.908826i \(-0.636980\pi\)
0.967461 + 0.253021i \(0.0814243\pi\)
\(410\) 2.16378 + 1.11504i 0.106861 + 0.0550680i
\(411\) 10.5406 18.2569i 0.519931 0.900546i
\(412\) −1.79898 + 22.7257i −0.0886295 + 1.11962i
\(413\) 27.9159 4.92233i 1.37365 0.242212i
\(414\) −1.55711 3.71565i −0.0765276 0.182614i
\(415\) 5.37394 14.7648i 0.263796 0.724774i
\(416\) 23.2256 10.1879i 1.13873 0.499504i
\(417\) 15.4405i 0.756126i
\(418\) −15.4429 + 17.7335i −0.755338 + 0.867374i
\(419\) 7.36000i 0.359560i −0.983707 0.179780i \(-0.942461\pi\)
0.983707 0.179780i \(-0.0575385\pi\)
\(420\) 23.0033 6.36809i 1.12245 0.310731i
\(421\) −1.21485 + 3.33777i −0.0592081 + 0.162673i −0.965770 0.259400i \(-0.916475\pi\)
0.906562 + 0.422073i \(0.138697\pi\)
\(422\) 1.95358 0.818679i 0.0950986 0.0398527i
\(423\) −2.82970 + 0.498952i −0.137585 + 0.0242599i
\(424\) −1.26227 2.35307i −0.0613015 0.114275i
\(425\) −0.132791 + 0.230001i −0.00644133 + 0.0111567i
\(426\) 2.47013 4.79338i 0.119678 0.232240i
\(427\) 6.78403 8.08490i 0.328302 0.391256i
\(428\) 16.1756 7.70629i 0.781875 0.372498i
\(429\) −11.2528 19.4904i −0.543289 0.941005i
\(430\) 2.16591 + 45.3073i 0.104449 + 2.18491i
\(431\) 23.3773 8.50864i 1.12604 0.409847i 0.289190 0.957272i \(-0.406614\pi\)
0.836855 + 0.547425i \(0.184392\pi\)
\(432\) −14.1550 + 17.4474i −0.681034 + 0.839440i
\(433\) −2.58798 0.456330i −0.124370 0.0219298i 0.111117 0.993807i \(-0.464557\pi\)
−0.235487 + 0.971878i \(0.575668\pi\)
\(434\) −11.6936 + 2.64318i −0.561310 + 0.126877i
\(435\) 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 −0.474665 0.880167i \(-0.657431\pi\)
0.784370 + 0.620293i \(0.212986\pi\)
\(440\) −6.38602 + 30.5970i −0.304442 + 1.45865i
\(441\) 0.616846 3.49831i 0.0293736 0.166586i
\(442\) −0.336881 0.364602i −0.0160238 0.0173424i
\(443\) 5.66756 + 15.5715i 0.269274 + 0.739824i 0.998458 + 0.0555069i \(0.0176775\pi\)
−0.729184 + 0.684317i \(0.760100\pi\)
\(444\) −22.4714 + 16.0132i −1.06645 + 0.759955i
\(445\) 7.46461 4.30970i 0.353856 0.204299i
\(446\) 1.40500 11.0242i 0.0665289 0.522009i
\(447\) −15.5354 13.0357i −0.734799 0.616569i
\(448\) 17.2646 18.1433i 0.815674 0.857190i
\(449\) −20.3983 11.7770i −0.962656 0.555790i −0.0656669 0.997842i \(-0.520917\pi\)
−0.896990 + 0.442052i \(0.854251\pi\)
\(450\) −4.84256 3.68411i −0.228280 0.173671i
\(451\) −0.393574 2.23207i −0.0185327 0.105104i
\(452\) −8.91641 + 12.9608i −0.419392 + 0.609624i
\(453\) −9.98337 3.63365i −0.469060 0.170724i
\(454\) 7.23603 + 2.24866i 0.339604 + 0.105535i
\(455\) −40.6604 −1.90619
\(456\) 13.1954 + 9.43881i 0.617931 + 0.442013i
\(457\) −35.6608 −1.66814 −0.834070 0.551659i \(-0.813995\pi\)
−0.834070 + 0.551659i \(0.813995\pi\)
\(458\) −4.24318 1.31860i −0.198271 0.0616143i
\(459\) 0.413234 + 0.150405i 0.0192881 + 0.00702030i
\(460\) −7.37556 + 10.7210i −0.343887 + 0.499870i
\(461\) 5.18964 + 29.4319i 0.241706 + 1.37078i 0.828021 + 0.560697i \(0.189467\pi\)
−0.586315 + 0.810083i \(0.699422\pi\)
\(462\) −17.6875 13.4563i −0.822897 0.626042i
\(463\) 8.24455 + 4.75999i 0.383157 + 0.221216i 0.679191 0.733962i \(-0.262331\pi\)
−0.296034 + 0.955177i \(0.595664\pi\)
\(464\) 1.95375 + 0.674723i 0.0907004 + 0.0313232i
\(465\) −7.90761 6.63527i −0.366706 0.307703i
\(466\) −2.55370 + 20.0372i −0.118298 + 0.928207i
\(467\) 13.8707 8.00827i 0.641861 0.370579i −0.143470 0.989655i \(-0.545826\pi\)
0.785331 + 0.619076i \(0.212493\pi\)
\(468\) 9.26199 6.60014i 0.428136 0.305092i
\(469\) 2.26395 + 6.22016i 0.104540 + 0.287220i
\(470\) 6.29846 + 6.81676i 0.290526 + 0.314434i
\(471\) 0.720782 4.08776i 0.0332119 0.188354i
\(472\) 25.0702 + 5.23250i 1.15395 + 0.240846i
\(473\) 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
\(478\) 17.1253 3.87097i 0.783295 0.177054i
\(479\) 11.6151 + 2.04805i 0.530706 + 0.0935778i 0.432579 0.901596i \(-0.357604\pi\)
0.0981272 + 0.995174i \(0.468715\pi\)
\(480\) 21.4337 + 2.37211i 0.978312 + 0.108272i
\(481\) 44.1708 16.0769i 2.01401 0.733041i
\(482\) 0.608271 + 12.7240i 0.0277060 + 0.579564i
\(483\) −4.62635 8.01307i −0.210506 0.364608i
\(484\) 6.41262 3.05507i 0.291483 0.138867i
\(485\) −17.6246 + 21.0042i −0.800294 + 0.953753i
\(486\) −7.85887 + 15.2504i −0.356486 + 0.691772i
\(487\) 10.2230 17.7067i 0.463247 0.802367i −0.535873 0.844298i \(-0.680018\pi\)
0.999121 + 0.0419308i \(0.0133509\pi\)
\(488\) 8.40270 4.50753i 0.380372 0.204046i
\(489\) 11.7611 2.07380i 0.531854 0.0937803i
\(490\) −10.5824 + 4.43474i −0.478065 + 0.200341i
\(491\) −12.7994 + 35.1661i −0.577630 + 1.58703i 0.214533 + 0.976717i \(0.431177\pi\)
−0.792163 + 0.610309i \(0.791045\pi\)
\(492\) −1.50704 + 0.417200i −0.0679427 + 0.0188088i
\(493\) 0.0404571i 0.00182210i
\(494\) −17.3739 21.4936i −0.781687 0.967043i
\(495\) 14.0163i 0.629987i
\(496\) −10.6965 1.70416i −0.480287 0.0765191i
\(497\) −3.10255 + 8.52418i −0.139168 + 0.382362i
\(498\) 3.90120 + 9.30925i 0.174817 + 0.417158i
\(499\) −36.4883 + 6.43387i −1.63344 + 0.288019i −0.913750 0.406277i \(-0.866827\pi\)
−0.719689 + 0.694296i \(0.755716\pi\)
\(500\) 0.735117 9.28640i 0.0328754 0.415300i
\(501\) 7.62307 13.2035i 0.340574 0.589891i
\(502\) 12.5933 + 6.48962i 0.562067 + 0.289646i
\(503\) −1.85009 + 2.20485i −0.0824914 + 0.0983094i −0.805711 0.592308i \(-0.798217\pi\)
0.723220 + 0.690618i \(0.242661\pi\)
\(504\) 5.91639 9.54619i 0.263537 0.425221i
\(505\) 23.2591 + 40.2860i 1.03502 + 1.79270i
\(506\) 12.1028 0.578573i 0.538035 0.0257207i
\(507\) 8.78043 3.19581i 0.389952 0.141931i
\(508\) −28.3565 7.34729i −1.25812 0.325983i
\(509\) −10.1796 1.79493i −0.451201 0.0795589i −0.0565701 0.998399i \(-0.518016\pi\)
−0.394631 + 0.918840i \(0.629128\pi\)
\(510\) −0.0930596 0.411700i −0.00412075 0.0182304i
\(511\) −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
\(516\) −20.7739 20.4331i −0.914519 0.899516i
\(517\) 1.50063 8.51047i 0.0659974 0.374290i
\(518\) 34.0930 31.5009i 1.49796 1.38407i
\(519\) −1.37206 3.76971i −0.0602268 0.165472i
\(520\) −34.1111 13.6360i −1.49587 0.597979i
\(521\) −32.7090 + 18.8846i −1.43301 + 0.827348i −0.997349 0.0727637i \(-0.976818\pi\)
−0.435659 + 0.900112i \(0.643485\pi\)
\(522\) 0.919460 + 0.117183i 0.0402437 + 0.00512897i
\(523\) 22.4623 + 18.8481i 0.982206 + 0.824169i 0.984421 0.175829i \(-0.0562605\pi\)
−0.00221480 + 0.999998i \(0.500705\pi\)
\(524\) 3.56512 + 37.2030i 0.155743 + 1.62522i
\(525\) −12.1023 6.98726i −0.528187 0.304949i
\(526\) −25.2770 + 33.2251i −1.10213 + 1.44869i
\(527\) 0.0368142 + 0.208784i 0.00160365 + 0.00909475i
\(528\) −10.3258 17.2206i −0.449373 0.749429i
\(529\) −16.8726 6.14113i −0.733592 0.267005i
\(530\) −1.14780 + 3.69353i −0.0498571 + 0.160437i
\(531\) 11.4845 0.498387
\(532\) −24.0269 12.9445i −1.04170 0.561214i
\(533\) 2.66383 0.115383
\(534\) −1.64319 + 5.28768i −0.0711077 + 0.228820i
\(535\) −24.3876 8.87638i −1.05437 0.383759i
\(536\) −0.186723 + 5.97751i −0.00806519 + 0.258189i
\(537\) 0.990723 + 5.61867i 0.0427529 + 0.242463i
\(538\) −7.96926 + 10.4752i −0.343579 + 0.451616i
\(539\) 9.25233 + 5.34183i 0.398526 + 0.230089i
\(540\) 32.3946 3.10433i 1.39404 0.133589i
\(541\) 1.95274 + 1.63855i 0.0839549 + 0.0704466i 0.683799 0.729670i \(-0.260326\pi\)
−0.599844 + 0.800117i \(0.704771\pi\)
\(542\) 7.50564 + 0.956578i 0.322395 + 0.0410885i
\(543\) −2.29075 + 1.32256i −0.0983054 + 0.0567567i
\(544\) −0.305899 0.320276i −0.0131153 0.0137317i
\(545\) −15.9014 43.6887i −0.681141 1.87142i
\(546\) 19.1848 17.7261i 0.821032 0.758607i
\(547\) −0.169432 + 0.960896i −0.00724439 + 0.0410850i −0.988216 0.153068i \(-0.951085\pi\)
0.980971 + 0.194153i \(0.0621958\pi\)
\(548\) −22.4678 + 22.8425i −0.959777 + 0.975785i
\(549\) 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
\(554\) −4.65879 20.6107i −0.197933 0.875665i
\(555\) 39.3606 + 6.94034i 1.67077 + 0.294601i
\(556\) 5.88610 22.7171i 0.249626 0.963421i
\(557\) 8.89834 3.23873i 0.377035 0.137229i −0.146549 0.989203i \(-0.546817\pi\)
0.523584 + 0.851974i \(0.324595\pi\)
\(558\) −4.85161 + 0.231930i −0.205385 + 0.00981840i
\(559\) 24.8191 + 42.9880i 1.04974 + 1.81820i
\(560\) −36.2716 + 0.600028i −1.53275 + 0.0253558i
\(561\) −0.252623 + 0.301064i −0.0106657 + 0.0127109i
\(562\) −24.7056 12.7313i −1.04214 0.537039i
\(563\) −15.1232 + 26.1942i −0.637367 + 1.10395i 0.348641 + 0.937256i \(0.386643\pi\)
−0.986008 + 0.166696i \(0.946690\pi\)
\(564\) −5.94360 0.470499i −0.250271 0.0198116i
\(565\) 22.4405 3.95687i 0.944079 0.166467i
\(566\) 5.73741 + 13.6909i 0.241161 + 0.575472i
\(567\) −3.83985 + 10.5499i −0.161258 + 0.443054i
\(568\) −5.46151 + 6.11069i −0.229160 + 0.256399i
\(569\) 12.8421i 0.538369i 0.963089 + 0.269184i \(0.0867541\pi\)
−0.963089 + 0.269184i \(0.913246\pi\)
\(570\) −3.65570 23.2134i −0.153120 0.972302i
\(571\) 11.1572i 0.466915i −0.972367 0.233458i \(-0.924996\pi\)
0.972367 0.233458i \(-0.0750040\pi\)
\(572\) 9.12588 + 32.9652i 0.381572 + 1.37835i
\(573\) −3.19400 + 8.77545i −0.133431 + 0.366600i
\(574\) 2.42611 1.01670i 0.101264 0.0424364i
\(575\) 7.50312 1.32300i 0.312902 0.0551730i
\(576\) 8.16487 6.02442i 0.340203 0.251017i
\(577\) 5.34339 9.25502i 0.222448 0.385291i −0.733103 0.680118i \(-0.761929\pi\)
0.955551 + 0.294827i \(0.0952619\pi\)
\(578\) 11.0089 21.3632i 0.457911 0.888592i
\(579\) 3.07222 3.66132i 0.127677 0.152159i
\(580\) −1.28769 2.70287i −0.0534684 0.112231i
\(581\) −8.48989 14.7049i −0.352220 0.610063i
\(582\) −0.841077 17.5940i −0.0348638 0.729293i
\(583\) 3.38414 1.23173i 0.140157 0.0510129i
\(584\) −12.9190 39.2684i −0.534592 1.62494i
\(585\) −16.2232 2.86059i −0.670746 0.118271i
\(586\) 22.4208 5.06793i 0.926194 0.209354i
\(587\) 9.10535 + 10.8513i 0.375818 + 0.447882i 0.920490 0.390767i \(-0.127790\pi\)
−0.544672 + 0.838649i \(0.683346\pi\)
\(588\) 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
\(592\) 39.1658 14.9934i 1.60971 0.616224i
\(593\) −1.39125 + 7.89016i −0.0571317 + 0.324010i −0.999957 0.00927734i \(-0.997047\pi\)
0.942825 + 0.333288i \(0.108158\pi\)
\(594\) −20.5634 22.2556i −0.843727 0.913157i
\(595\) 0.242850 + 0.667224i 0.00995587 + 0.0273535i
\(596\) 17.8873 + 25.1013i 0.732693 + 1.02819i
\(597\) −7.52502 + 4.34457i −0.307979 + 0.177811i
\(598\) −1.80038 + 14.1264i −0.0736232 + 0.577673i
\(599\) −34.0092 28.5371i −1.38958 1.16599i −0.965511 0.260363i \(-0.916158\pi\)
−0.424067 0.905631i \(-0.639398\pi\)
\(600\) −7.80968 9.92048i −0.318829 0.405002i
\(601\) −28.8637 16.6645i −1.17737 0.679758i −0.221969 0.975054i \(-0.571248\pi\)
−0.955406 + 0.295296i \(0.904582\pi\)
\(602\) 39.0116 + 29.6791i 1.58999 + 1.20963i
\(603\) 0.465692 + 2.64107i 0.0189645 + 0.107553i
\(604\) 13.3030 + 9.15184i 0.541292 + 0.372383i
\(605\) −9.66821 3.51894i −0.393069 0.143065i
\(606\) −28.5372 8.86817i −1.15924 0.360245i
\(607\) −13.9779 −0.567345 −0.283672 0.958921i \(-0.591553\pi\)
−0.283672 + 0.958921i \(0.591553\pi\)
\(608\) −15.8158 18.9172i −0.641414 0.767195i
\(609\) 2.12879 0.0862628
\(610\) −13.1894 4.09873i −0.534025 0.165953i
\(611\) 9.54417 + 3.47379i 0.386116 + 0.140535i
\(612\) −0.163625 0.112566i −0.00661415 0.00455022i
\(613\) −4.97045 28.1888i −0.200755 1.13854i −0.903982 0.427571i \(-0.859369\pi\)
0.703227 0.710965i \(-0.251742\pi\)
\(614\) −28.0997 21.3777i −1.13401 0.862732i
\(615\) 1.96154 + 1.13250i 0.0790971 + 0.0456667i
\(616\) 20.8933 + 26.5404i 0.841817 + 1.06934i
\(617\) −22.3135 18.7233i −0.898310 0.753771i 0.0715497 0.997437i \(-0.477206\pi\)
−0.969859 + 0.243666i \(0.921650\pi\)
\(618\) −2.68177 + 21.0421i −0.107877 + 0.846438i
\(619\) 21.0830 12.1723i 0.847396 0.489244i −0.0123753 0.999923i \(-0.503939\pi\)
0.859771 + 0.510679i \(0.170606\pi\)
\(620\) 9.10475 + 12.7767i 0.365656 + 0.513125i
\(621\) −4.31472 11.8546i −0.173144 0.475709i
\(622\) −14.7193 15.9305i −0.590190 0.638756i
\(623\) 1.61748 9.17316i 0.0648028 0.367515i
\(624\) 22.0393 8.43705i 0.882279 0.337752i
\(625\) −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
\(630\) −15.8673 + 3.58659i −0.632167 + 0.142893i
\(631\) 3.45710 + 0.609581i 0.137625 + 0.0242670i 0.242036 0.970267i \(-0.422185\pi\)
−0.104411 + 0.994534i \(0.533296\pi\)
\(632\) 6.14966 + 18.6924i 0.244620 + 0.743545i
\(633\) 1.85210 0.674108i 0.0736142 0.0267934i
\(634\) −1.21862 25.4916i −0.0483978 1.01240i
\(635\) 21.2148 + 36.7452i 0.841885 + 1.45819i
\(636\) −1.06865 2.24310i −0.0423748 0.0889449i
\(637\) −8.07120 + 9.61888i −0.319793 + 0.381114i
\(638\) −1.27698 + 2.47802i −0.0505560 + 0.0981056i
\(639\) −1.83760 + 3.18281i −0.0726942 + 0.125910i
\(640\) −30.6305 11.6608i −1.21078 0.460933i
\(641\) −3.21901 + 0.567598i −0.127143 + 0.0224188i −0.236858 0.971544i \(-0.576117\pi\)
0.109714 + 0.993963i \(0.465006\pi\)
\(642\) 15.3765 6.44378i 0.606862 0.254316i
\(643\) 12.1157 33.2877i 0.477797 1.31274i −0.433562 0.901124i \(-0.642743\pi\)
0.911359 0.411613i \(-0.135034\pi\)
\(644\) 3.75192 + 13.5530i 0.147846 + 0.534062i
\(645\) 42.2063i 1.66187i
\(646\) −0.248936 + 0.413474i −0.00979424 + 0.0162679i
\(647\) 15.0857i 0.593078i 0.955021 + 0.296539i \(0.0958325\pi\)
−0.955021 + 0.296539i \(0.904167\pi\)
\(648\) −6.75941 + 7.56286i −0.265535 + 0.297097i
\(649\) −11.8135 + 32.4573i −0.463721 + 1.27406i
\(650\) 8.31285 + 19.8366i 0.326057 + 0.778055i
\(651\) −10.9858 + 1.93710i −0.430569 + 0.0759210i
\(652\) −18.0942 1.43235i −0.708625 0.0560952i
\(653\) 0.273124 0.473065i 0.0106882 0.0185124i −0.860632 0.509228i \(-0.829931\pi\)
0.871320 + 0.490715i \(0.163264\pi\)
\(654\) 26.5491 + 13.6813i 1.03815 + 0.534982i
\(655\) 34.7967 41.4691i 1.35962 1.62033i
\(656\) 2.37630 0.0393103i 0.0927789 0.00153481i
\(657\) −9.26885 16.0541i −0.361612 0.626331i
\(658\) 10.0183 0.478924i 0.390555 0.0186704i
\(659\) 37.6501 13.7035i 1.46664 0.533813i 0.519453 0.854499i \(-0.326136\pi\)
0.947186 + 0.320686i \(0.103913\pi\)
\(660\) −7.29485 + 28.1541i −0.283952 + 1.09590i
\(661\) 45.3693 + 7.99983i 1.76466 + 0.311157i 0.959460 0.281844i \(-0.0909461\pi\)
0.805201 + 0.593002i \(0.202057\pi\)
\(662\) 7.15074 + 31.6352i 0.277921 + 1.22954i
\(663\) −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
\(668\) −16.2489 + 16.5199i −0.628689 + 0.639175i
\(669\) 1.79568 10.1838i 0.0694249 0.393728i
\(670\) 6.36236 5.87861i 0.245799 0.227111i
\(671\) 4.39844 + 12.0846i 0.169800 + 0.466522i
\(672\) 16.8524 16.0959i 0.650096 0.620912i
\(673\) 16.3438 9.43611i 0.630008 0.363735i −0.150747 0.988572i \(-0.548168\pi\)
0.780755 + 0.624837i \(0.214835\pi\)
\(674\) 12.5972 + 1.60548i 0.485225 + 0.0618409i
\(675\) −14.5956 12.2472i −0.561787 0.471395i
\(676\) −14.1366 + 1.35469i −0.543716 + 0.0521037i
\(677\) 26.5149 + 15.3084i 1.01905 + 0.588349i 0.913829 0.406100i \(-0.133111\pi\)
0.105222 + 0.994449i \(0.466445\pi\)
\(678\) −8.86307 + 11.6500i −0.340384 + 0.447416i
\(679\) 5.14534 + 29.1807i 0.197460 + 1.11985i
\(680\) −0.0200294 + 0.641196i −0.000768092 + 0.0245888i
\(681\) 6.62550 + 2.41148i 0.253890 + 0.0924082i
\(682\) 4.33510 13.9501i 0.166000 0.534176i
\(683\) −47.0432 −1.80006 −0.900029 0.435829i \(-0.856455\pi\)
−0.900029 + 0.435829i \(0.856455\pi\)
\(684\) −8.67588 6.85512i −0.331731 0.262112i
\(685\) 46.4093 1.77321
\(686\) 5.51729 17.7543i 0.210651 0.677861i
\(687\) −3.88517 1.41409i −0.148228 0.0539508i
\(688\) 22.7746 + 37.9817i 0.868273 + 1.44804i
\(689\) 0.734994 + 4.16836i 0.0280010 + 0.158802i
\(690\) −7.33144 + 9.63677i −0.279103 + 0.366866i
\(691\) 0.680964 + 0.393155i 0.0259051 + 0.0149563i 0.512897 0.858450i \(-0.328572\pi\)
−0.486992 + 0.873407i \(0.661906\pi\)
\(692\) 0.581613 + 6.06929i 0.0221096 + 0.230720i
\(693\) 11.6032 + 9.73627i 0.440771 + 0.369850i
\(694\) −39.0939 4.98243i −1.48398 0.189130i
\(695\) −29.4375 + 16.9958i −1.11663 + 0.644686i
\(696\) 1.78590 + 0.713918i 0.0676943 + 0.0270610i
\(697\) −0.0159101 0.0437126i −0.000602638 0.00165573i
\(698\) 7.54939 6.97540i 0.285749 0.264023i
\(699\) −3.26378 + 18.5098i −0.123448 + 0.700106i
\(700\) 15.1421 + 14.8936i 0.572316 + 0.562927i
\(701\) −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
\(706\) 3.54140 + 15.6674i 0.133283 + 0.589649i
\(707\) 49.5069 + 8.72939i 1.86190 + 0.328303i
\(708\) 23.0686 + 5.97717i 0.866971 + 0.224636i
\(709\) 30.0394 10.9335i 1.12815 0.410615i 0.290533 0.956865i \(-0.406168\pi\)
0.837622 + 0.546250i \(0.183945\pi\)
\(710\) 11.8576 0.566849i 0.445006 0.0212735i
\(711\) 4.41213 + 7.64204i 0.165468 + 0.286599i
\(712\) 4.43329 7.15318i 0.166145 0.268077i
\(713\) 3.90934 4.65897i 0.146406 0.174480i
\(714\) −0.405464 0.208944i −0.0151741 0.00781955i
\(715\) 24.7724 42.9071i 0.926436 1.60463i
\(716\) 0.684283 8.64423i 0.0255728 0.323050i
\(717\) 16.0889 2.83690i 0.600850 0.105946i
\(718\) −8.80695 21.0156i −0.328673 0.784297i
\(719\) 0.247417 0.679772i 0.00922709 0.0253512i −0.934994 0.354665i \(-0.884595\pi\)
0.944221 + 0.329313i \(0.106817\pi\)
\(720\) −14.5143 2.31241i −0.540916 0.0861786i
\(721\) 35.6839i 1.32894i
\(722\) −15.3497 + 22.0542i −0.571255 + 0.820773i
\(723\) 11.8532i 0.440824i
\(724\) 3.87448 1.07258i 0.143994 0.0398623i
\(725\) −0.599523 + 1.64718i −0.0222657 + 0.0611746i
\(726\) 6.09585 2.55457i 0.226238 0.0948088i
\(727\) −13.3127 + 2.34739i −0.493741 + 0.0870598i −0.414974 0.909833i \(-0.636209\pi\)
−0.0787667 + 0.996893i \(0.525098\pi\)
\(728\) −34.9833 + 18.7664i −1.29657 + 0.695527i
\(729\) −13.3612 + 23.1423i −0.494859 + 0.857121i
\(730\) −27.4287 + 53.2263i −1.01518 + 1.96999i
\(731\) 0.557184 0.664026i 0.0206082 0.0245599i
\(732\) 8.01003 3.81610i 0.296059 0.141047i
\(733\) −21.2697 36.8401i −0.785613 1.36072i −0.928632 0.371002i \(-0.879014\pi\)
0.143019 0.989720i \(-0.454319\pi\)
\(734\) −1.91710 40.1026i −0.0707614 1.48021i
\(735\) −10.0327 + 3.65160i −0.370061 + 0.134691i
\(736\) −1.39759 + 12.6282i −0.0515158 + 0.465483i
\(737\) −7.94317 1.40060i −0.292590 0.0515916i
\(738\) 1.03953 0.234972i 0.0382656 0.00864945i
\(739\) −0.408212 0.486488i −0.0150163 0.0178957i 0.758484 0.651692i \(-0.225940\pi\)
−0.773500 + 0.633796i \(0.781496\pi\)
\(740\) −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 −0.996932 0.0782714i \(-0.975060\pi\)
−0.0960331 + 0.995378i \(0.530615\pi\)
\(744\) −9.86596 2.05917i −0.361704 0.0754927i
\(745\) 7.75259 43.9671i 0.284033 1.61083i
\(746\) −0.744029 0.805254i −0.0272408 0.0294824i
\(747\) −2.35286 6.46444i −0.0860868 0.236522i
\(748\) 0.486444 0.346642i 0.0177861 0.0126745i
\(749\) −24.2888 + 14.0231i −0.887492 + 0.512394i
\(750\) 1.09585 8.59843i 0.0400148 0.313970i
\(751\) −22.5368 18.9106i −0.822380 0.690059i 0.131148 0.991363i \(-0.458134\pi\)
−0.953528 + 0.301304i \(0.902578\pi\)
\(752\) 8.56526 + 2.95800i 0.312343 + 0.107867i
\(753\) 11.4163 + 6.59121i 0.416034 + 0.240197i
\(754\) −2.60756 1.98377i −0.0949617 0.0722447i
\(755\) −4.06135 23.0330i −0.147807 0.838258i
\(756\) 19.9326 28.9738i 0.724942 1.05377i
\(757\) −17.9630 6.53799i −0.652875 0.237627i −0.00571806 0.999984i \(-0.501820\pi\)
−0.647157 + 0.762356i \(0.724042\pi\)
\(758\) 11.0843 + 3.44454i 0.402600 + 0.125111i
\(759\) 11.2745 0.409237
\(760\) −3.47070 + 35.5467i −0.125896 + 1.28941i
\(761\) −6.81878 −0.247181 −0.123590 0.992333i \(-0.539441\pi\)
−0.123590 + 0.992333i \(0.539441\pi\)
\(762\) −26.0290 8.08874i −0.942933 0.293024i
\(763\) −47.2129 17.1841i −1.70922 0.622105i
\(764\) 8.04453 11.6934i 0.291041 0.423054i
\(765\) 0.0499539 + 0.283303i 0.00180609 + 0.0102428i
\(766\) 34.0111 + 25.8749i 1.22887 + 0.934897i
\(767\) −35.1567 20.2977i −1.26943 0.732908i
\(768\) 19.5359 7.85160i 0.704942 0.283320i
\(769\) −27.3710 22.9670i −0.987022 0.828210i −0.00188826 0.999998i \(-0.500601\pi\)
−0.985134 + 0.171788i \(0.945045\pi\)
\(770\) 6.18543 48.5330i 0.222907 1.74901i
\(771\) −1.33904 + 0.773098i −0.0482245 + 0.0278424i
\(772\) −5.91578 + 4.21562i −0.212914 + 0.151723i