Properties

Label 690.2.q.a.11.14
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.14
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(0.843944 + 1.51253i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-0.816154 + 1.52771i) q^{6} +(-1.57741 + 1.36683i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-1.57552 + 2.55299i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(0.843944 + 1.51253i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-0.816154 + 1.52771i) q^{6} +(-1.57741 + 1.36683i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-1.57552 + 2.55299i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(3.18184 + 2.04484i) q^{11} +(-1.72644 + 0.139349i) q^{12} +(0.684999 - 0.790531i) q^{13} +(-2.00266 - 0.588035i) q^{14} +(-1.23589 - 1.21350i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(0.274598 + 0.601286i) q^{17} +(-2.99950 + 0.0548407i) q^{18} +(-0.675988 - 0.308713i) q^{19} +(0.142315 - 0.989821i) q^{20} +(-3.39862 - 1.23235i) q^{21} +3.78226i q^{22} +(-4.76620 - 0.532257i) q^{23} +(-1.05061 - 1.37703i) q^{24} +(0.841254 - 0.540641i) q^{25} +(1.03538 + 0.148865i) q^{26} +(-5.19113 - 0.228443i) q^{27} +(-0.588035 - 2.00266i) q^{28} +(-6.52326 + 2.97907i) q^{29} +(0.352688 - 1.69576i) q^{30} +(-0.806093 - 5.60650i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-0.407600 + 6.53837i) q^{33} +(-0.357375 + 0.556086i) q^{34} +(1.12843 - 1.75587i) q^{35} +(-1.66779 - 2.49369i) q^{36} +(1.03825 - 3.53595i) q^{37} +(-0.105760 - 0.735580i) q^{38} +(1.77381 + 0.368920i) q^{39} +(0.909632 - 0.415415i) q^{40} +(3.40974 + 11.6125i) q^{41} +(-0.800713 - 3.52537i) q^{42} +(6.27140 + 0.901692i) q^{43} +(-3.18184 + 2.04484i) q^{44} +(0.792437 - 2.89345i) q^{45} +(-2.12904 - 4.29735i) q^{46} -2.65181i q^{47} +(0.590431 - 1.62831i) q^{48} +(-0.376217 + 2.61665i) q^{49} +(0.909632 + 0.415415i) q^{50} +(-0.677719 + 0.922790i) q^{51} +(0.434534 + 0.951496i) q^{52} +(4.00210 + 4.61867i) q^{53} +(-2.61436 - 4.49056i) q^{54} +(-3.62905 - 1.06558i) q^{55} +(1.36683 - 1.57741i) q^{56} +(-0.103557 - 1.28299i) q^{57} +(-6.03290 - 3.87711i) q^{58} +(6.87698 + 5.95894i) q^{59} +(1.61724 - 0.620098i) q^{60} +(11.8254 - 1.70023i) q^{61} +(4.28068 - 3.70923i) q^{62} +(-1.00427 - 6.18057i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-0.434534 + 0.951496i) q^{65} +(-5.72079 + 3.19201i) q^{66} +(-1.86860 - 2.90760i) q^{67} -0.661021 q^{68} +(-3.21735 - 7.65824i) q^{69} +2.08721 q^{70} +(5.63612 + 8.76998i) q^{71} +(1.19615 - 2.75122i) q^{72} +(4.81545 - 10.5444i) q^{73} +(3.53595 - 1.03825i) q^{74} +(1.52771 + 0.816154i) q^{75} +(0.561631 - 0.486656i) q^{76} +(-7.81401 + 1.12348i) q^{77} +(0.648637 + 1.69167i) q^{78} +(4.94711 + 4.28670i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-4.03550 - 8.04455i) q^{81} +(-7.92562 + 9.14666i) q^{82} +(-1.44461 - 0.424176i) q^{83} +(2.53283 - 2.57956i) q^{84} +(-0.432877 - 0.499566i) q^{85} +(2.63203 + 5.76333i) q^{86} +(-10.0112 - 7.35248i) q^{87} +(-3.44046 - 1.57121i) q^{88} +(-1.15319 + 8.02060i) q^{89} +(2.86255 - 0.897676i) q^{90} +2.18327i q^{91} +(2.46411 - 4.11438i) q^{92} +(7.79972 - 5.95081i) q^{93} +(2.23085 - 1.43368i) q^{94} +(0.735580 + 0.105760i) q^{95} +(1.68903 - 0.383629i) q^{96} +(4.53637 + 15.4495i) q^{97} +(-2.40466 + 1.09817i) q^{98} +(-10.2335 + 4.90151i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.540641 + 0.841254i 0.382291 + 0.594856i
\(3\) 0.843944 + 1.51253i 0.487251 + 0.873262i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) −0.816154 + 1.52771i −0.333193 + 0.623684i
\(7\) −1.57741 + 1.36683i −0.596204 + 0.516614i −0.899866 0.436166i \(-0.856336\pi\)
0.303662 + 0.952780i \(0.401791\pi\)
\(8\) −0.989821 + 0.142315i −0.349955 + 0.0503159i
\(9\) −1.57552 + 2.55299i −0.525172 + 0.850996i
\(10\) −0.755750 0.654861i −0.238989 0.207085i
\(11\) 3.18184 + 2.04484i 0.959360 + 0.616543i 0.923821 0.382825i \(-0.125049\pi\)
0.0355388 + 0.999368i \(0.488685\pi\)
\(12\) −1.72644 + 0.139349i −0.498379 + 0.0402267i
\(13\) 0.684999 0.790531i 0.189985 0.219254i −0.652764 0.757561i \(-0.726391\pi\)
0.842749 + 0.538307i \(0.180936\pi\)
\(14\) −2.00266 0.588035i −0.535234 0.157159i
\(15\) −1.23589 1.21350i −0.319105 0.313324i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 0.274598 + 0.601286i 0.0665998 + 0.145833i 0.940005 0.341162i \(-0.110820\pi\)
−0.873405 + 0.486995i \(0.838093\pi\)
\(18\) −2.99950 + 0.0548407i −0.706989 + 0.0129261i
\(19\) −0.675988 0.308713i −0.155082 0.0708237i 0.336362 0.941733i \(-0.390804\pi\)
−0.491444 + 0.870909i \(0.663531\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) −3.39862 1.23235i −0.741641 0.268922i
\(22\) 3.78226i 0.806380i
\(23\) −4.76620 0.532257i −0.993822 0.110983i
\(24\) −1.05061 1.37703i −0.214455 0.281086i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) 1.03538 + 0.148865i 0.203054 + 0.0291947i
\(27\) −5.19113 0.228443i −0.999033 0.0439638i
\(28\) −0.588035 2.00266i −0.111128 0.378468i
\(29\) −6.52326 + 2.97907i −1.21134 + 0.553200i −0.915608 0.402071i \(-0.868290\pi\)
−0.295731 + 0.955271i \(0.595563\pi\)
\(30\) 0.352688 1.69576i 0.0643918 0.309602i
\(31\) −0.806093 5.60650i −0.144779 1.00696i −0.924596 0.380950i \(-0.875597\pi\)
0.779817 0.626007i \(-0.215312\pi\)
\(32\) 0.281733 0.959493i 0.0498038 0.169616i
\(33\) −0.407600 + 6.53837i −0.0709541 + 1.13818i
\(34\) −0.357375 + 0.556086i −0.0612893 + 0.0953680i
\(35\) 1.12843 1.75587i 0.190740 0.296797i
\(36\) −1.66779 2.49369i −0.277964 0.415615i
\(37\) 1.03825 3.53595i 0.170687 0.581306i −0.829068 0.559149i \(-0.811128\pi\)
0.999754 0.0221579i \(-0.00705367\pi\)
\(38\) −0.105760 0.735580i −0.0171566 0.119327i
\(39\) 1.77381 + 0.368920i 0.284036 + 0.0590745i
\(40\) 0.909632 0.415415i 0.143825 0.0656829i
\(41\) 3.40974 + 11.6125i 0.532512 + 1.81357i 0.579893 + 0.814693i \(0.303094\pi\)
−0.0473805 + 0.998877i \(0.515087\pi\)
\(42\) −0.800713 3.52537i −0.123553 0.543976i
\(43\) 6.27140 + 0.901692i 0.956380 + 0.137507i 0.602795 0.797896i \(-0.294053\pi\)
0.353585 + 0.935402i \(0.384963\pi\)
\(44\) −3.18184 + 2.04484i −0.479680 + 0.308271i
\(45\) 0.792437 2.89345i 0.118130 0.431330i
\(46\) −2.12904 4.29735i −0.313910 0.633609i
\(47\) 2.65181i 0.386807i −0.981119 0.193403i \(-0.938047\pi\)
0.981119 0.193403i \(-0.0619526\pi\)
\(48\) 0.590431 1.62831i 0.0852213 0.235026i
\(49\) −0.376217 + 2.61665i −0.0537453 + 0.373806i
\(50\) 0.909632 + 0.415415i 0.128641 + 0.0587486i
\(51\) −0.677719 + 0.922790i −0.0948997 + 0.129216i
\(52\) 0.434534 + 0.951496i 0.0602590 + 0.131949i
\(53\) 4.00210 + 4.61867i 0.549731 + 0.634424i 0.960820 0.277172i \(-0.0893970\pi\)
−0.411089 + 0.911595i \(0.634852\pi\)
\(54\) −2.61436 4.49056i −0.355769 0.611088i
\(55\) −3.62905 1.06558i −0.489341 0.143683i
\(56\) 1.36683 1.57741i 0.182651 0.210790i
\(57\) −0.103557 1.28299i −0.0137164 0.169936i
\(58\) −6.03290 3.87711i −0.792158 0.509089i
\(59\) 6.87698 + 5.95894i 0.895306 + 0.775787i 0.975271 0.221010i \(-0.0709354\pi\)
−0.0799651 + 0.996798i \(0.525481\pi\)
\(60\) 1.61724 0.620098i 0.208785 0.0800543i
\(61\) 11.8254 1.70023i 1.51408 0.217693i 0.665358 0.746524i \(-0.268279\pi\)
0.848727 + 0.528832i \(0.177370\pi\)
\(62\) 4.28068 3.70923i 0.543647 0.471073i
\(63\) −1.00427 6.18057i −0.126527 0.778679i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −0.434534 + 0.951496i −0.0538973 + 0.118019i
\(66\) −5.72079 + 3.19201i −0.704180 + 0.392910i
\(67\) −1.86860 2.90760i −0.228286 0.355219i 0.708148 0.706064i \(-0.249531\pi\)
−0.936434 + 0.350845i \(0.885895\pi\)
\(68\) −0.661021 −0.0801605
\(69\) −3.21735 7.65824i −0.387324 0.921944i
\(70\) 2.08721 0.249469
\(71\) 5.63612 + 8.76998i 0.668885 + 1.04081i 0.995418 + 0.0956194i \(0.0304832\pi\)
−0.326533 + 0.945186i \(0.605880\pi\)
\(72\) 1.19615 2.75122i 0.140968 0.324235i
\(73\) 4.81545 10.5444i 0.563606 1.23412i −0.386527 0.922278i \(-0.626325\pi\)
0.950133 0.311846i \(-0.100947\pi\)
\(74\) 3.53595 1.03825i 0.411046 0.120694i
\(75\) 1.52771 + 0.816154i 0.176405 + 0.0942413i
\(76\) 0.561631 0.486656i 0.0644235 0.0558233i
\(77\) −7.81401 + 1.12348i −0.890489 + 0.128033i
\(78\) 0.648637 + 1.69167i 0.0734436 + 0.191544i
\(79\) 4.94711 + 4.28670i 0.556594 + 0.482291i 0.887141 0.461498i \(-0.152688\pi\)
−0.330548 + 0.943789i \(0.607233\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) −4.03550 8.04455i −0.448388 0.893839i
\(82\) −7.92562 + 9.14666i −0.875239 + 1.01008i
\(83\) −1.44461 0.424176i −0.158567 0.0465594i 0.201486 0.979491i \(-0.435423\pi\)
−0.360052 + 0.932932i \(0.617241\pi\)
\(84\) 2.53283 2.57956i 0.276354 0.281453i
\(85\) −0.432877 0.499566i −0.0469521 0.0541856i
\(86\) 2.63203 + 5.76333i 0.283819 + 0.621476i
\(87\) −10.0112 7.35248i −1.07332 0.788269i
\(88\) −3.44046 1.57121i −0.366754 0.167491i
\(89\) −1.15319 + 8.02060i −0.122238 + 0.850182i 0.832774 + 0.553613i \(0.186751\pi\)
−0.955012 + 0.296568i \(0.904158\pi\)
\(90\) 2.86255 0.897676i 0.301739 0.0946233i
\(91\) 2.18327i 0.228869i
\(92\) 2.46411 4.11438i 0.256901 0.428954i
\(93\) 7.79972 5.95081i 0.808793 0.617071i
\(94\) 2.23085 1.43368i 0.230094 0.147873i
\(95\) 0.735580 + 0.105760i 0.0754690 + 0.0108508i
\(96\) 1.68903 0.383629i 0.172386 0.0391539i
\(97\) 4.53637 + 15.4495i 0.460599 + 1.56866i 0.782981 + 0.622046i \(0.213698\pi\)
−0.322382 + 0.946610i \(0.604484\pi\)
\(98\) −2.40466 + 1.09817i −0.242907 + 0.110932i
\(99\) −10.2335 + 4.90151i −1.02850 + 0.492620i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) −0.826971 + 2.81640i −0.0822867 + 0.280243i −0.990350 0.138591i \(-0.955743\pi\)
0.908063 + 0.418833i \(0.137561\pi\)
\(102\) −1.14270 0.0712359i −0.113144 0.00705340i
\(103\) 1.09847 1.70926i 0.108236 0.168418i −0.782910 0.622135i \(-0.786266\pi\)
0.891146 + 0.453716i \(0.149902\pi\)
\(104\) −0.565523 + 0.879970i −0.0554541 + 0.0862882i
\(105\) 3.60815 + 0.224931i 0.352119 + 0.0219510i
\(106\) −1.72177 + 5.86383i −0.167234 + 0.569545i
\(107\) −1.01467 7.05718i −0.0980917 0.682243i −0.978230 0.207525i \(-0.933459\pi\)
0.880138 0.474718i \(-0.157450\pi\)
\(108\) 2.36427 4.62712i 0.227502 0.445245i
\(109\) −3.21687 + 1.46910i −0.308120 + 0.140714i −0.563474 0.826134i \(-0.690535\pi\)
0.255353 + 0.966848i \(0.417808\pi\)
\(110\) −1.06558 3.62905i −0.101599 0.346016i
\(111\) 6.22447 1.41376i 0.590800 0.134188i
\(112\) 2.06597 + 0.297041i 0.195215 + 0.0280677i
\(113\) 7.64121 4.91071i 0.718824 0.461960i −0.129403 0.991592i \(-0.541306\pi\)
0.848228 + 0.529632i \(0.177670\pi\)
\(114\) 1.02333 0.780755i 0.0958440 0.0731244i
\(115\) 4.72309 0.832098i 0.440431 0.0775935i
\(116\) 7.17132i 0.665840i
\(117\) 0.938989 + 2.99429i 0.0868096 + 0.276822i
\(118\) −1.29500 + 9.00693i −0.119214 + 0.829155i
\(119\) −1.25501 0.573144i −0.115047 0.0525400i
\(120\) 1.39601 + 1.02526i 0.127437 + 0.0935932i
\(121\) 1.37314 + 3.00675i 0.124831 + 0.273341i
\(122\) 7.82361 + 9.02893i 0.708316 + 0.817441i
\(123\) −14.6867 + 14.9577i −1.32425 + 1.34869i
\(124\) 5.43471 + 1.59578i 0.488052 + 0.143305i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 4.65648 4.18632i 0.414832 0.372947i
\(127\) −9.09044 5.84207i −0.806646 0.518400i 0.0711320 0.997467i \(-0.477339\pi\)
−0.877779 + 0.479067i \(0.840975\pi\)
\(128\) 0.755750 + 0.654861i 0.0667995 + 0.0578821i
\(129\) 3.92888 + 10.2467i 0.345918 + 0.902171i
\(130\) −1.03538 + 0.148865i −0.0908085 + 0.0130563i
\(131\) 7.67770 6.65277i 0.670804 0.581255i −0.251436 0.967874i \(-0.580903\pi\)
0.922239 + 0.386619i \(0.126357\pi\)
\(132\) −5.77818 3.08690i −0.502926 0.268680i
\(133\) 1.48827 0.436995i 0.129049 0.0378923i
\(134\) 1.43579 3.14393i 0.124033 0.271594i
\(135\) 5.04521 1.24332i 0.434223 0.107008i
\(136\) −0.357375 0.556086i −0.0306446 0.0476840i
\(137\) 4.02457 0.343843 0.171921 0.985111i \(-0.445003\pi\)
0.171921 + 0.985111i \(0.445003\pi\)
\(138\) 4.70309 6.84697i 0.400354 0.582853i
\(139\) −10.2689 −0.870997 −0.435499 0.900189i \(-0.643428\pi\)
−0.435499 + 0.900189i \(0.643428\pi\)
\(140\) 1.12843 + 1.75587i 0.0953698 + 0.148398i
\(141\) 4.01096 2.23798i 0.337784 0.188472i
\(142\) −4.33066 + 9.48282i −0.363421 + 0.795780i
\(143\) 3.79607 1.11463i 0.317443 0.0932097i
\(144\) 2.96116 0.481156i 0.246764 0.0400963i
\(145\) 5.41972 4.69621i 0.450083 0.389999i
\(146\) 11.4739 1.64970i 0.949587 0.136530i
\(147\) −4.27527 + 1.63926i −0.352618 + 0.135204i
\(148\) 2.78511 + 2.41331i 0.228935 + 0.198373i
\(149\) 3.89009 + 2.50001i 0.318689 + 0.204809i 0.690198 0.723620i \(-0.257523\pi\)
−0.371510 + 0.928429i \(0.621160\pi\)
\(150\) 0.139349 + 1.72644i 0.0113778 + 0.140963i
\(151\) 1.80242 2.08010i 0.146679 0.169276i −0.677656 0.735379i \(-0.737004\pi\)
0.824335 + 0.566103i \(0.191550\pi\)
\(152\) 0.713042 + 0.209368i 0.0578353 + 0.0169820i
\(153\) −1.96771 0.246290i −0.159080 0.0199114i
\(154\) −5.16971 5.96616i −0.416587 0.480767i
\(155\) 2.35297 + 5.15229i 0.188995 + 0.413842i
\(156\) −1.07245 + 1.46026i −0.0858645 + 0.116914i
\(157\) 3.60648 + 1.64702i 0.287829 + 0.131447i 0.554097 0.832452i \(-0.313064\pi\)
−0.266269 + 0.963899i \(0.585791\pi\)
\(158\) −0.931588 + 6.47934i −0.0741132 + 0.515469i
\(159\) −3.60835 + 9.95122i −0.286161 + 0.789183i
\(160\) 1.00000i 0.0790569i
\(161\) 8.24576 5.67501i 0.649857 0.447254i
\(162\) 4.58575 7.74409i 0.360291 0.608433i
\(163\) 1.93503 1.24357i 0.151563 0.0974037i −0.462661 0.886535i \(-0.653105\pi\)
0.614224 + 0.789131i \(0.289469\pi\)
\(164\) −11.9796 1.72240i −0.935447 0.134497i
\(165\) −1.45098 6.38835i −0.112959 0.497332i
\(166\) −0.424176 1.44461i −0.0329225 0.112124i
\(167\) −17.6967 + 8.08182i −1.36941 + 0.625390i −0.958187 0.286143i \(-0.907627\pi\)
−0.411227 + 0.911533i \(0.634900\pi\)
\(168\) 3.53941 + 0.736135i 0.273072 + 0.0567941i
\(169\) 1.69438 + 11.7847i 0.130337 + 0.906512i
\(170\) 0.186231 0.634245i 0.0142833 0.0486444i
\(171\) 1.85317 1.23941i 0.141716 0.0947798i
\(172\) −3.42544 + 5.33009i −0.261188 + 0.406416i
\(173\) 8.05290 12.5305i 0.612250 0.952680i −0.387278 0.921963i \(-0.626585\pi\)
0.999528 0.0307170i \(-0.00977906\pi\)
\(174\) 0.772828 12.3970i 0.0585879 0.939816i
\(175\) −0.588035 + 2.00266i −0.0444513 + 0.151387i
\(176\) −0.538271 3.74376i −0.0405737 0.282196i
\(177\) −3.20931 + 15.4307i −0.241226 + 1.15984i
\(178\) −7.37082 + 3.36614i −0.552466 + 0.252303i
\(179\) −5.78159 19.6903i −0.432136 1.47172i −0.831809 0.555062i \(-0.812694\pi\)
0.399673 0.916658i \(-0.369124\pi\)
\(180\) 2.30278 + 1.92281i 0.171639 + 0.143318i
\(181\) 23.9345 + 3.44127i 1.77904 + 0.255787i 0.951944 0.306274i \(-0.0990823\pi\)
0.827096 + 0.562061i \(0.189991\pi\)
\(182\) −1.83668 + 1.18036i −0.136144 + 0.0874945i
\(183\) 12.5516 + 16.4514i 0.927843 + 1.21612i
\(184\) 4.79344 0.151462i 0.353377 0.0111659i
\(185\) 3.68523i 0.270943i
\(186\) 9.22299 + 3.34429i 0.676263 + 0.245215i
\(187\) −0.355808 + 2.47470i −0.0260193 + 0.180968i
\(188\) 2.41217 + 1.10160i 0.175926 + 0.0803427i
\(189\) 8.50077 6.73505i 0.618340 0.489903i
\(190\) 0.308713 + 0.675988i 0.0223964 + 0.0490413i
\(191\) 4.73421 + 5.46356i 0.342555 + 0.395330i 0.900720 0.434401i \(-0.143040\pi\)
−0.558165 + 0.829730i \(0.688494\pi\)
\(192\) 1.23589 + 1.21350i 0.0891926 + 0.0875767i
\(193\) −23.1077 6.78503i −1.66333 0.488397i −0.691163 0.722698i \(-0.742902\pi\)
−0.972164 + 0.234301i \(0.924720\pi\)
\(194\) −10.5444 + 12.1688i −0.757041 + 0.873672i
\(195\) −1.80589 + 0.145763i −0.129323 + 0.0104383i
\(196\) −2.22390 1.42921i −0.158850 0.102087i
\(197\) −8.50246 7.36742i −0.605775 0.524907i 0.297080 0.954853i \(-0.403987\pi\)
−0.902855 + 0.429946i \(0.858533\pi\)
\(198\) −9.65605 5.95901i −0.686226 0.423488i
\(199\) −1.92141 + 0.276256i −0.136205 + 0.0195833i −0.210080 0.977684i \(-0.567372\pi\)
0.0738752 + 0.997267i \(0.476463\pi\)
\(200\) −0.755750 + 0.654861i −0.0534396 + 0.0463056i
\(201\) 2.82085 5.28017i 0.198967 0.372434i
\(202\) −2.81640 + 0.826971i −0.198161 + 0.0581855i
\(203\) 6.21795 13.6154i 0.436415 0.955615i
\(204\) −0.557865 0.999816i −0.0390583 0.0700011i
\(205\) −6.54325 10.1815i −0.457000 0.711106i
\(206\) 2.03180 0.141562
\(207\) 8.86808 11.3295i 0.616374 0.787453i
\(208\) −1.04602 −0.0725286
\(209\) −1.51961 2.36456i −0.105114 0.163560i
\(210\) 1.76149 + 3.15698i 0.121554 + 0.217852i
\(211\) 0.862032 1.88759i 0.0593448 0.129947i −0.877636 0.479327i \(-0.840881\pi\)
0.936981 + 0.349380i \(0.113608\pi\)
\(212\) −5.86383 + 1.72177i −0.402729 + 0.118252i
\(213\) −8.50832 + 15.9262i −0.582980 + 1.09125i
\(214\) 5.38830 4.66899i 0.368337 0.319166i
\(215\) −6.27140 + 0.901692i −0.427706 + 0.0614949i
\(216\) 5.17080 0.512657i 0.351828 0.0348819i
\(217\) 8.93468 + 7.74194i 0.606526 + 0.525557i
\(218\) −2.97505 1.91195i −0.201496 0.129494i
\(219\) 20.0127 1.61532i 1.35233 0.109153i
\(220\) 2.47685 2.85844i 0.166989 0.192716i
\(221\) 0.663435 + 0.194802i 0.0446274 + 0.0131038i
\(222\) 4.55453 + 4.47202i 0.305680 + 0.300142i
\(223\) −5.89769 6.80630i −0.394939 0.455784i 0.523102 0.852270i \(-0.324775\pi\)
−0.918041 + 0.396487i \(0.870229\pi\)
\(224\) 0.867059 + 1.89859i 0.0579328 + 0.126855i
\(225\) 0.0548407 + 2.99950i 0.00365605 + 0.199967i
\(226\) 8.26230 + 3.77327i 0.549600 + 0.250994i
\(227\) −2.43304 + 16.9222i −0.161487 + 1.12317i 0.734346 + 0.678775i \(0.237489\pi\)
−0.895833 + 0.444390i \(0.853420\pi\)
\(228\) 1.21007 + 0.438775i 0.0801388 + 0.0290586i
\(229\) 12.0696i 0.797582i −0.917042 0.398791i \(-0.869430\pi\)
0.917042 0.398791i \(-0.130570\pi\)
\(230\) 3.25350 + 3.52345i 0.214530 + 0.232330i
\(231\) −8.29390 10.8708i −0.545698 0.715246i
\(232\) 6.03290 3.87711i 0.396079 0.254545i
\(233\) 20.3546 + 2.92655i 1.33347 + 0.191725i 0.771923 0.635717i \(-0.219295\pi\)
0.561552 + 0.827441i \(0.310204\pi\)
\(234\) −2.01130 + 2.40876i −0.131483 + 0.157466i
\(235\) 0.747102 + 2.54440i 0.0487356 + 0.165978i
\(236\) −8.27724 + 3.78009i −0.538802 + 0.246063i
\(237\) −2.30869 + 11.1004i −0.149965 + 0.721049i
\(238\) −0.196350 1.36565i −0.0127275 0.0885217i
\(239\) 1.90983 6.50428i 0.123537 0.420727i −0.874380 0.485241i \(-0.838732\pi\)
0.997917 + 0.0645146i \(0.0205499\pi\)
\(240\) −0.107766 + 1.72869i −0.00695629 + 0.111587i
\(241\) 16.3601 25.4568i 1.05385 1.63982i 0.338626 0.940921i \(-0.390038\pi\)
0.715221 0.698898i \(-0.246326\pi\)
\(242\) −1.78706 + 2.78073i −0.114877 + 0.178752i
\(243\) 8.76192 12.8930i 0.562077 0.827085i
\(244\) −3.36585 + 11.4630i −0.215477 + 0.733846i
\(245\) −0.376217 2.61665i −0.0240356 0.167171i
\(246\) −20.5234 4.26850i −1.30852 0.272150i
\(247\) −0.707099 + 0.322921i −0.0449916 + 0.0205470i
\(248\) 1.59578 + 5.43471i 0.101332 + 0.345105i
\(249\) −0.577591 2.54301i −0.0366033 0.161156i
\(250\) −0.989821 0.142315i −0.0626018 0.00900078i
\(251\) −12.1385 + 7.80094i −0.766176 + 0.492391i −0.864420 0.502771i \(-0.832314\pi\)
0.0982440 + 0.995162i \(0.468677\pi\)
\(252\) 6.03924 + 1.65398i 0.380436 + 0.104191i
\(253\) −14.0769 11.4397i −0.885007 0.719207i
\(254\) 10.8058i 0.678018i
\(255\) 0.390287 1.07635i 0.0244407 0.0674034i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 10.7202 + 4.89577i 0.668710 + 0.305390i 0.720689 0.693258i \(-0.243826\pi\)
−0.0519788 + 0.998648i \(0.516553\pi\)
\(258\) −6.49595 + 8.84496i −0.404420 + 0.550663i
\(259\) 3.19531 + 6.99675i 0.198547 + 0.434757i
\(260\) −0.684999 0.790531i −0.0424819 0.0490267i
\(261\) 2.67197 21.3474i 0.165391 1.32137i
\(262\) 9.74754 + 2.86214i 0.602205 + 0.176823i
\(263\) 11.5553 13.3355i 0.712528 0.822301i −0.277859 0.960622i \(-0.589625\pi\)
0.990388 + 0.138320i \(0.0441704\pi\)
\(264\) −0.527055 6.52982i −0.0324380 0.401883i
\(265\) −5.14122 3.30406i −0.315823 0.202967i
\(266\) 1.17224 + 1.01575i 0.0718748 + 0.0622799i
\(267\) −13.1047 + 5.02470i −0.801992 + 0.307507i
\(268\) 3.42109 0.491878i 0.208976 0.0300462i
\(269\) 12.4490 10.7872i 0.759032 0.657705i −0.186787 0.982400i \(-0.559807\pi\)
0.945819 + 0.324696i \(0.105262\pi\)
\(270\) 3.77360 + 3.57211i 0.229654 + 0.217392i
\(271\) −7.61968 + 2.23734i −0.462863 + 0.135909i −0.504846 0.863210i \(-0.668451\pi\)
0.0419830 + 0.999118i \(0.486632\pi\)
\(272\) 0.274598 0.601286i 0.0166499 0.0364583i
\(273\) −3.30227 + 1.84256i −0.199862 + 0.111517i
\(274\) 2.17585 + 3.38569i 0.131448 + 0.204537i
\(275\) 3.78226 0.228079
\(276\) 8.30272 + 0.254741i 0.499765 + 0.0153336i
\(277\) −27.5752 −1.65683 −0.828416 0.560113i \(-0.810758\pi\)
−0.828416 + 0.560113i \(0.810758\pi\)
\(278\) −5.55179 8.63875i −0.332974 0.518118i
\(279\) 15.5833 + 6.77519i 0.932950 + 0.405620i
\(280\) −0.867059 + 1.89859i −0.0518167 + 0.113463i
\(281\) 0.389715 0.114431i 0.0232484 0.00682636i −0.270088 0.962836i \(-0.587053\pi\)
0.293336 + 0.956009i \(0.405235\pi\)
\(282\) 4.05120 + 2.16429i 0.241245 + 0.128881i
\(283\) −15.6551 + 13.5652i −0.930598 + 0.806368i −0.981328 0.192344i \(-0.938391\pi\)
0.0507290 + 0.998712i \(0.483846\pi\)
\(284\) −10.3188 + 1.48362i −0.612307 + 0.0880365i
\(285\) 0.460822 + 1.20185i 0.0272968 + 0.0711912i
\(286\) 2.98999 + 2.59084i 0.176802 + 0.153200i
\(287\) −21.2509 13.6571i −1.25440 0.806155i
\(288\) 2.00570 + 2.23096i 0.118187 + 0.131460i
\(289\) 10.8465 12.5175i 0.638029 0.736325i
\(290\) 6.88083 + 2.02039i 0.404056 + 0.118642i
\(291\) −19.5394 + 19.8999i −1.14542 + 1.16655i
\(292\) 7.59108 + 8.76057i 0.444234 + 0.512674i
\(293\) 9.23610 + 20.2242i 0.539579 + 1.18151i 0.961481 + 0.274871i \(0.0886351\pi\)
−0.421903 + 0.906641i \(0.638638\pi\)
\(294\) −3.69042 2.71033i −0.215230 0.158070i
\(295\) −8.27724 3.78009i −0.481919 0.220085i
\(296\) −0.524462 + 3.64772i −0.0304838 + 0.212019i
\(297\) −16.0502 11.3419i −0.931326 0.658124i
\(298\) 4.62416i 0.267870i
\(299\) −3.68561 + 3.40324i −0.213144 + 0.196814i
\(300\) −1.37703 + 1.05061i −0.0795030 + 0.0606570i
\(301\) −11.1250 + 7.14962i −0.641236 + 0.412097i
\(302\) 2.72435 + 0.391703i 0.156769 + 0.0225400i
\(303\) −4.95782 + 1.12607i −0.284819 + 0.0646908i
\(304\) 0.209368 + 0.713042i 0.0120081 + 0.0408958i
\(305\) −10.8674 + 4.96296i −0.622263 + 0.284178i
\(306\) −0.856631 1.78850i −0.0489703 0.102242i
\(307\) 0.868901 + 6.04334i 0.0495908 + 0.344912i 0.999478 + 0.0323177i \(0.0102888\pi\)
−0.949887 + 0.312594i \(0.898802\pi\)
\(308\) 2.22410 7.57459i 0.126730 0.431602i
\(309\) 3.51236 + 0.218960i 0.199811 + 0.0124562i
\(310\) −3.06227 + 4.76499i −0.173925 + 0.270633i
\(311\) −7.09806 + 11.0448i −0.402494 + 0.626293i −0.982046 0.188643i \(-0.939591\pi\)
0.579552 + 0.814935i \(0.303228\pi\)
\(312\) −1.80825 0.112726i −0.102372 0.00638186i
\(313\) −2.44364 + 8.32229i −0.138123 + 0.470404i −0.999280 0.0379351i \(-0.987922\pi\)
0.861157 + 0.508339i \(0.169740\pi\)
\(314\) 0.564246 + 3.92441i 0.0318422 + 0.221467i
\(315\) 2.70486 + 5.64728i 0.152402 + 0.318188i
\(316\) −5.95442 + 2.71929i −0.334962 + 0.152972i
\(317\) −8.55649 29.1407i −0.480580 1.63671i −0.741214 0.671269i \(-0.765750\pi\)
0.260634 0.965438i \(-0.416069\pi\)
\(318\) −10.3223 + 2.34450i −0.578847 + 0.131473i
\(319\) −26.8477 3.86011i −1.50318 0.216125i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) 9.81789 7.49058i 0.547981 0.418084i
\(322\) 9.23212 + 3.86863i 0.514486 + 0.215590i
\(323\) 0.491234i 0.0273330i
\(324\) 8.99398 0.328989i 0.499666 0.0182772i
\(325\) 0.148865 1.03538i 0.00825752 0.0574323i
\(326\) 2.09231 + 0.955526i 0.115882 + 0.0529217i
\(327\) −4.93692 3.62579i −0.273012 0.200507i
\(328\) −5.02767 11.0091i −0.277607 0.607874i
\(329\) 3.62458 + 4.18299i 0.199830 + 0.230616i
\(330\) 4.58976 4.67445i 0.252658 0.257320i
\(331\) −0.868148 0.254911i −0.0477177 0.0140112i 0.257787 0.966202i \(-0.417007\pi\)
−0.305504 + 0.952191i \(0.598825\pi\)
\(332\) 0.985958 1.13786i 0.0541115 0.0624480i
\(333\) 7.39146 + 8.22158i 0.405049 + 0.450540i
\(334\) −16.3664 10.5181i −0.895531 0.575523i
\(335\) 2.61207 + 2.26337i 0.142713 + 0.123661i
\(336\) 1.29428 + 3.37553i 0.0706085 + 0.184150i
\(337\) 26.5750 3.82090i 1.44763 0.208138i 0.626742 0.779227i \(-0.284388\pi\)
0.820888 + 0.571089i \(0.193479\pi\)
\(338\) −8.99783 + 7.79666i −0.489417 + 0.424083i
\(339\) 13.8764 + 7.41322i 0.753661 + 0.402631i
\(340\) 0.634245 0.186231i 0.0343968 0.0100998i
\(341\) 8.89955 19.4873i 0.481937 1.05530i
\(342\) 2.04456 + 0.888914i 0.110557 + 0.0480669i
\(343\) −10.8821 16.9329i −0.587577 0.914288i
\(344\) −6.33590 −0.341609
\(345\) 5.24460 + 6.44159i 0.282360 + 0.346804i
\(346\) 14.8951 0.800765
\(347\) 2.61529 + 4.06947i 0.140396 + 0.218461i 0.904330 0.426834i \(-0.140371\pi\)
−0.763934 + 0.645295i \(0.776735\pi\)
\(348\) 10.8469 6.05219i 0.581453 0.324432i
\(349\) −8.19723 + 17.9494i −0.438788 + 0.960811i 0.553031 + 0.833160i \(0.313471\pi\)
−0.991819 + 0.127651i \(0.959256\pi\)
\(350\) −2.00266 + 0.588035i −0.107047 + 0.0314318i
\(351\) −3.73651 + 3.94727i −0.199440 + 0.210690i
\(352\) 2.85844 2.47685i 0.152355 0.132017i
\(353\) −31.6214 + 4.54647i −1.68304 + 0.241984i −0.916448 0.400155i \(-0.868956\pi\)
−0.766589 + 0.642139i \(0.778047\pi\)
\(354\) −14.7162 + 5.64261i −0.782157 + 0.299901i
\(355\) −7.87861 6.82685i −0.418153 0.362332i
\(356\) −6.81674 4.38085i −0.361287 0.232185i
\(357\) −0.192259 2.38195i −0.0101754 0.126066i
\(358\) 13.4388 15.5091i 0.710260 0.819684i
\(359\) 3.05208 + 0.896172i 0.161083 + 0.0472981i 0.361280 0.932458i \(-0.382340\pi\)
−0.200197 + 0.979756i \(0.564158\pi\)
\(360\) −0.372591 + 2.97677i −0.0196373 + 0.156890i
\(361\) −12.0807 13.9419i −0.635826 0.733783i
\(362\) 10.0450 + 21.9955i 0.527954 + 1.15606i
\(363\) −3.38896 + 4.61444i −0.177874 + 0.242195i
\(364\) −1.98597 0.906963i −0.104093 0.0475378i
\(365\) −1.64970 + 11.4739i −0.0863492 + 0.600572i
\(366\) −7.05387 + 19.4534i −0.368712 + 1.01684i
\(367\) 29.8589i 1.55862i −0.626637 0.779311i \(-0.715569\pi\)
0.626637 0.779311i \(-0.284431\pi\)
\(368\) 2.71895 + 3.95061i 0.141735 + 0.205940i
\(369\) −35.0187 9.59068i −1.82300 0.499271i
\(370\) −3.10021 + 1.99238i −0.161172 + 0.103579i
\(371\) −12.6259 1.81533i −0.655504 0.0942473i
\(372\) 2.17293 + 9.56693i 0.112661 + 0.496022i
\(373\) 10.3528 + 35.2584i 0.536047 + 1.82561i 0.563682 + 0.825992i \(0.309384\pi\)
−0.0276350 + 0.999618i \(0.508798\pi\)
\(374\) −2.27422 + 1.03860i −0.117597 + 0.0537047i
\(375\) −1.69576 0.352688i −0.0875688 0.0182128i
\(376\) 0.377393 + 2.62482i 0.0194625 + 0.135365i
\(377\) −2.11338 + 7.19750i −0.108845 + 0.370690i
\(378\) 10.2618 + 3.51006i 0.527808 + 0.180538i
\(379\) 3.42098 5.32315i 0.175724 0.273432i −0.742208 0.670170i \(-0.766221\pi\)
0.917932 + 0.396738i \(0.129858\pi\)
\(380\) −0.401774 + 0.625173i −0.0206106 + 0.0320707i
\(381\) 1.16451 18.6800i 0.0596595 0.957005i
\(382\) −2.03674 + 6.93649i −0.104209 + 0.354902i
\(383\) 1.05071 + 7.30787i 0.0536889 + 0.373415i 0.998897 + 0.0469473i \(0.0149493\pi\)
−0.945208 + 0.326468i \(0.894142\pi\)
\(384\) −0.352688 + 1.69576i −0.0179981 + 0.0865365i
\(385\) 7.18096 3.27944i 0.365976 0.167136i
\(386\) −6.78503 23.1077i −0.345349 1.17615i
\(387\) −12.1827 + 14.5902i −0.619282 + 0.741661i
\(388\) −15.9378 2.29151i −0.809119 0.116334i
\(389\) −12.8737 + 8.27346i −0.652725 + 0.419481i −0.824661 0.565627i \(-0.808634\pi\)
0.171936 + 0.985108i \(0.444998\pi\)
\(390\) −1.09896 1.44041i −0.0556481 0.0729379i
\(391\) −0.988751 3.01201i −0.0500033 0.152324i
\(392\) 2.64355i 0.133520i
\(393\) 16.5421 + 5.99822i 0.834438 + 0.302570i
\(394\) 1.60109 11.1359i 0.0806620 0.561016i
\(395\) −5.95442 2.71929i −0.299599 0.136822i
\(396\) −0.207422 11.3449i −0.0104233 0.570101i
\(397\) −0.579325 1.26854i −0.0290755 0.0636664i 0.894537 0.446994i \(-0.147505\pi\)
−0.923613 + 0.383327i \(0.874778\pi\)
\(398\) −1.27119 1.46703i −0.0637191 0.0735357i
\(399\) 1.91699 + 1.88226i 0.0959693 + 0.0942307i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) 7.67746 8.86026i 0.383394 0.442460i −0.530947 0.847405i \(-0.678164\pi\)
0.914341 + 0.404945i \(0.132709\pi\)
\(402\) 5.96702 0.481629i 0.297608 0.0240215i
\(403\) −4.98429 3.20321i −0.248285 0.159563i
\(404\) −2.21835 1.92222i −0.110367 0.0956338i
\(405\) 6.13844 + 6.58176i 0.305022 + 0.327050i
\(406\) 14.8157 2.13018i 0.735291 0.105719i
\(407\) 10.5340 9.12776i 0.522151 0.452446i
\(408\) 0.539495 1.00985i 0.0267090 0.0499949i
\(409\) 30.8241 9.05077i 1.52415 0.447532i 0.590898 0.806746i \(-0.298774\pi\)
0.933255 + 0.359214i \(0.116955\pi\)
\(410\) 5.02767 11.0091i 0.248299 0.543699i
\(411\) 3.39652 + 6.08730i 0.167538 + 0.300265i
\(412\) 1.09847 + 1.70926i 0.0541179 + 0.0842092i
\(413\) −18.9927 −0.934568
\(414\) 14.3254 + 1.33512i 0.704056 + 0.0656177i
\(415\) 1.50560 0.0739070
\(416\) −0.565523 0.879970i −0.0277270 0.0431441i
\(417\) −8.66638 15.5321i −0.424395 0.760609i
\(418\) 1.16763 2.55676i 0.0571108 0.125055i
\(419\) −21.0467 + 6.17988i −1.02820 + 0.301907i −0.751979 0.659187i \(-0.770900\pi\)
−0.276221 + 0.961094i \(0.589082\pi\)
\(420\) −1.70348 + 3.18865i −0.0831215 + 0.155590i
\(421\) 14.7437 12.7755i 0.718563 0.622638i −0.216846 0.976206i \(-0.569577\pi\)
0.935409 + 0.353568i \(0.115032\pi\)
\(422\) 2.05399 0.295319i 0.0999867 0.0143759i
\(423\) 6.77005 + 4.17798i 0.329171 + 0.203140i
\(424\) −4.61867 4.00210i −0.224303 0.194359i
\(425\) 0.556086 + 0.357375i 0.0269741 + 0.0173352i
\(426\) −17.9979 + 1.45270i −0.872002 + 0.0703837i
\(427\) −16.3295 + 18.8453i −0.790241 + 0.911987i
\(428\) 6.84094 + 2.00868i 0.330669 + 0.0970933i
\(429\) 4.88958 + 4.80100i 0.236071 + 0.231794i
\(430\) −4.14913 4.78835i −0.200089 0.230915i
\(431\) −6.91079 15.1325i −0.332881 0.728907i 0.666989 0.745068i \(-0.267583\pi\)
−0.999869 + 0.0161606i \(0.994856\pi\)
\(432\) 3.22682 + 4.07279i 0.155250 + 0.195952i
\(433\) −25.9047 11.8303i −1.24490 0.568527i −0.319525 0.947578i \(-0.603523\pi\)
−0.925376 + 0.379051i \(0.876251\pi\)
\(434\) −1.68249 + 11.7019i −0.0807619 + 0.561711i
\(435\) 11.6771 + 4.23417i 0.559875 + 0.203013i
\(436\) 3.53645i 0.169365i
\(437\) 3.05758 + 1.83119i 0.146264 + 0.0875977i
\(438\) 12.1786 + 15.9624i 0.581914 + 0.762714i
\(439\) −2.76299 + 1.77567i −0.131870 + 0.0847479i −0.604913 0.796292i \(-0.706792\pi\)
0.473043 + 0.881040i \(0.343156\pi\)
\(440\) 3.74376 + 0.538271i 0.178477 + 0.0256611i
\(441\) −6.08753 5.08305i −0.289882 0.242050i
\(442\) 0.194802 + 0.663435i 0.00926578 + 0.0315564i
\(443\) −34.1311 + 15.5871i −1.62162 + 0.740567i −0.999115 0.0420525i \(-0.986610\pi\)
−0.622500 + 0.782620i \(0.713883\pi\)
\(444\) −1.29974 + 6.24927i −0.0616828 + 0.296577i
\(445\) −1.15319 8.02060i −0.0546664 0.380213i
\(446\) 2.53729 8.64122i 0.120144 0.409174i
\(447\) −0.498329 + 7.99376i −0.0235702 + 0.378092i
\(448\) −1.12843 + 1.75587i −0.0533134 + 0.0829572i
\(449\) 15.5718 24.2302i 0.734880 1.14349i −0.249660 0.968334i \(-0.580319\pi\)
0.984540 0.175161i \(-0.0560447\pi\)
\(450\) −2.49369 + 1.66779i −0.117554 + 0.0786202i
\(451\) −12.8965 + 43.9215i −0.607273 + 2.06818i
\(452\) 1.29266 + 8.99067i 0.0608018 + 0.422886i
\(453\) 4.66737 + 0.970729i 0.219292 + 0.0456088i
\(454\) −15.5513 + 7.10202i −0.729857 + 0.333314i
\(455\) −0.615098 2.09483i −0.0288362 0.0982072i
\(456\) 0.285091 + 1.25519i 0.0133506 + 0.0587799i
\(457\) 16.3187 + 2.34628i 0.763357 + 0.109754i 0.512987 0.858396i \(-0.328539\pi\)
0.250370 + 0.968150i \(0.419448\pi\)
\(458\) 10.1536 6.52532i 0.474446 0.304908i
\(459\) −1.28811 3.18408i −0.0601240 0.148620i
\(460\) −1.20514 + 4.64194i −0.0561900 + 0.216432i
\(461\) 10.4166i 0.485148i −0.970133 0.242574i \(-0.922008\pi\)
0.970133 0.242574i \(-0.0779917\pi\)
\(462\) 4.66108 12.8545i 0.216853 0.598044i
\(463\) −0.558795 + 3.88651i −0.0259694 + 0.180621i −0.998678 0.0514106i \(-0.983628\pi\)
0.972708 + 0.232032i \(0.0745374\pi\)
\(464\) 6.52326 + 2.97907i 0.302835 + 0.138300i
\(465\) −5.80724 + 7.90720i −0.269304 + 0.366688i
\(466\) 8.54256 + 18.7056i 0.395727 + 0.866520i
\(467\) −15.7175 18.1389i −0.727318 0.839369i 0.264849 0.964290i \(-0.414678\pi\)
−0.992167 + 0.124920i \(0.960132\pi\)
\(468\) −3.11377 0.389738i −0.143934 0.0180157i
\(469\) 6.92174 + 2.03241i 0.319616 + 0.0938478i
\(470\) −1.73657 + 2.00411i −0.0801020 + 0.0924426i
\(471\) 0.552488 + 6.84492i 0.0254573 + 0.315397i
\(472\) −7.65503 4.91959i −0.352351 0.226442i
\(473\) 18.1108 + 15.6931i 0.832734 + 0.721568i
\(474\) −10.5864 + 4.05914i −0.486251 + 0.186443i
\(475\) −0.735580 + 0.105760i −0.0337507 + 0.00485262i
\(476\) 1.04270 0.903504i 0.0477921 0.0414121i
\(477\) −18.0968 + 2.94053i −0.828595 + 0.134637i
\(478\) 6.50428 1.90983i 0.297499 0.0873535i
\(479\) 6.99214 15.3107i 0.319479 0.699562i −0.679953 0.733256i \(-0.738000\pi\)
0.999432 + 0.0336938i \(0.0107271\pi\)
\(480\) −1.51253 + 0.843944i −0.0690374 + 0.0385206i
\(481\) −2.08408 3.24289i −0.0950258 0.147863i
\(482\) 30.2606 1.37833
\(483\) 15.5426 + 7.68259i 0.707213 + 0.349570i
\(484\) −3.30546 −0.150248
\(485\) −8.70523 13.5456i −0.395284 0.615074i
\(486\) 15.5833 + 0.400528i 0.706873 + 0.0181683i
\(487\) 14.6989 32.1861i 0.666071 1.45849i −0.210684 0.977554i \(-0.567569\pi\)
0.876755 0.480937i \(-0.159703\pi\)
\(488\) −11.4630 + 3.36585i −0.518908 + 0.152365i
\(489\) 3.51399 + 1.87729i 0.158908 + 0.0848942i
\(490\) 1.99786 1.73116i 0.0902543 0.0782058i
\(491\) −30.2997 + 4.35643i −1.36740 + 0.196603i −0.786611 0.617448i \(-0.788166\pi\)
−0.580793 + 0.814051i \(0.697257\pi\)
\(492\) −7.50490 19.5731i −0.338347 0.882424i
\(493\) −3.58255 3.10430i −0.161350 0.139810i
\(494\) −0.653945 0.420265i −0.0294224 0.0189086i
\(495\) 8.43805 7.58607i 0.379262 0.340968i
\(496\) −3.70923 + 4.28068i −0.166549 + 0.192208i
\(497\) −20.8776 6.13020i −0.936486 0.274977i
\(498\) 1.82704 1.86075i 0.0818718 0.0833823i
\(499\) 1.66760 + 1.92452i 0.0746522 + 0.0861532i 0.791847 0.610720i \(-0.209120\pi\)
−0.717195 + 0.696873i \(0.754574\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) −27.1591 19.9463i −1.21338 0.891134i
\(502\) −13.1251 5.99405i −0.585804 0.267528i
\(503\) 4.12449 28.6864i 0.183902 1.27907i −0.663526 0.748154i \(-0.730941\pi\)
0.847427 0.530911i \(-0.178150\pi\)
\(504\) 1.87364 + 5.97474i 0.0834585 + 0.266136i
\(505\) 2.93530i 0.130619i
\(506\) 2.01313 18.0270i 0.0894947 0.801398i
\(507\) −16.3947 + 12.5084i −0.728115 + 0.555517i
\(508\) 9.09044 5.84207i 0.403323 0.259200i
\(509\) −11.2676 1.62003i −0.499426 0.0718065i −0.112001 0.993708i \(-0.535726\pi\)
−0.387424 + 0.921902i \(0.626635\pi\)
\(510\) 1.11649 0.253586i 0.0494388 0.0112290i
\(511\) 6.81644 + 23.2147i 0.301542 + 1.02696i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) 3.43862 + 1.75700i 0.151819 + 0.0775732i
\(514\) 1.67722 + 11.6653i 0.0739788 + 0.514534i
\(515\) −0.572424 + 1.94950i −0.0252240 + 0.0859052i
\(516\) −10.9528 0.682797i −0.482171 0.0300585i
\(517\) 5.42254 8.43764i 0.238483 0.371087i
\(518\) −4.15852 + 6.47079i −0.182715 + 0.284310i
\(519\) 25.7491 + 1.60519i 1.13026 + 0.0704601i
\(520\) 0.294699 1.00365i 0.0129234 0.0440130i
\(521\) 5.88997 + 40.9657i 0.258044 + 1.79474i 0.546724 + 0.837313i \(0.315875\pi\)
−0.288679 + 0.957426i \(0.593216\pi\)
\(522\) 19.4031 9.29347i 0.849252 0.406764i
\(523\) 22.9961 10.5020i 1.00555 0.459219i 0.156582 0.987665i \(-0.449952\pi\)
0.848967 + 0.528446i \(0.177225\pi\)
\(524\) 2.86214 + 9.74754i 0.125033 + 0.425823i
\(525\) −3.52537 + 0.800713i −0.153860 + 0.0349460i
\(526\) 17.4658 + 2.51120i 0.761544 + 0.109493i
\(527\) 3.14976 2.02423i 0.137206 0.0881766i
\(528\) 5.20829 3.97368i 0.226662 0.172932i
\(529\) 22.4334 + 5.07370i 0.975365 + 0.220595i
\(530\) 6.11138i 0.265461i
\(531\) −26.0479 + 8.16844i −1.13038 + 0.354480i
\(532\) −0.220744 + 1.53531i −0.00957048 + 0.0665642i
\(533\) 11.5157 + 5.25906i 0.498801 + 0.227795i
\(534\) −11.3120 8.30778i −0.489516 0.359513i
\(535\) 2.96180 + 6.48545i 0.128050 + 0.280390i
\(536\) 2.26337 + 2.61207i 0.0977628 + 0.112824i
\(537\) 24.9029 25.3623i 1.07464 1.09447i
\(538\) 15.8052 + 4.64083i 0.681411 + 0.200080i
\(539\) −6.54769 + 7.55643i −0.282029 + 0.325479i
\(540\) −0.964892 + 5.10578i −0.0415223 + 0.219718i
\(541\) 30.6413 + 19.6920i 1.31737 + 0.846624i 0.994989 0.0999857i \(-0.0318797\pi\)
0.322383 + 0.946609i \(0.395516\pi\)
\(542\) −6.00168 5.20049i −0.257794 0.223380i
\(543\) 14.9944 + 39.1060i 0.643470 + 1.67820i
\(544\) 0.654293 0.0940731i 0.0280526 0.00403335i
\(545\) 2.67267 2.31588i 0.114485 0.0992016i
\(546\) −3.33540 1.78188i −0.142742 0.0762576i
\(547\) 4.65073 1.36558i 0.198851 0.0583878i −0.180791 0.983522i \(-0.557866\pi\)
0.379641 + 0.925134i \(0.376047\pi\)
\(548\) −1.67187 + 3.66088i −0.0714187 + 0.156385i
\(549\) −14.2904 + 32.8688i −0.609900 + 1.40281i
\(550\) 2.04484 + 3.18184i 0.0871923 + 0.135674i
\(551\) 5.32933 0.227037
\(552\) 4.27449 + 7.12241i 0.181934 + 0.303150i
\(553\) −13.6628 −0.581002
\(554\) −14.9083 23.1977i −0.633392 0.985577i
\(555\) −5.57403 + 3.11013i −0.236604 + 0.132017i
\(556\) 4.26586 9.34093i 0.180913 0.396144i
\(557\) 33.1365 9.72976i 1.40404 0.412263i 0.509970 0.860192i \(-0.329657\pi\)
0.894069 + 0.447929i \(0.147838\pi\)
\(558\) 2.72534 + 16.7725i 0.115373 + 0.710036i
\(559\) 5.00872 4.34008i 0.211846 0.183566i
\(560\) −2.06597 + 0.297041i −0.0873030 + 0.0125523i
\(561\) −4.04335 + 1.55034i −0.170710 + 0.0654553i
\(562\) 0.306961 + 0.265983i 0.0129484 + 0.0112198i
\(563\) 14.4681 + 9.29809i 0.609758 + 0.391868i 0.808766 0.588130i \(-0.200136\pi\)
−0.199008 + 0.979998i \(0.563772\pi\)
\(564\) 0.369529 + 4.57819i 0.0155600 + 0.192776i
\(565\) −5.94818 + 6.86457i −0.250242 + 0.288794i
\(566\) −19.8756 5.83599i −0.835432 0.245305i
\(567\) 17.3612 + 7.17369i 0.729101 + 0.301267i
\(568\) −6.82685 7.87861i −0.286448 0.330579i
\(569\) −5.51954 12.0861i −0.231391 0.506676i 0.757946 0.652317i \(-0.226203\pi\)
−0.989338 + 0.145641i \(0.953476\pi\)
\(570\) −0.761918 + 1.03744i −0.0319132 + 0.0434534i
\(571\) 34.6334 + 15.8166i 1.44936 + 0.661902i 0.975761 0.218837i \(-0.0702262\pi\)
0.473602 + 0.880739i \(0.342954\pi\)
\(572\) −0.563044 + 3.91606i −0.0235420 + 0.163739i
\(573\) −4.26842 + 11.7716i −0.178316 + 0.491765i
\(574\) 25.2610i 1.05437i
\(575\) −4.29735 + 2.12904i −0.179212 + 0.0887871i
\(576\) −0.792437 + 2.89345i −0.0330182 + 0.120560i
\(577\) 11.2840 7.25179i 0.469759 0.301896i −0.284261 0.958747i \(-0.591748\pi\)
0.754020 + 0.656851i \(0.228112\pi\)
\(578\) 16.3945 + 2.35717i 0.681920 + 0.0980453i
\(579\) −9.23901 40.6773i −0.383960 1.69049i
\(580\) 2.02039 + 6.88083i 0.0838923 + 0.285711i
\(581\) 2.85852 1.30544i 0.118591 0.0541589i
\(582\) −27.3047 5.67888i −1.13181 0.235397i
\(583\) 3.28958 + 22.8795i 0.136240 + 0.947573i
\(584\) −3.26581 + 11.1223i −0.135140 + 0.460246i
\(585\) −1.74454 2.60846i −0.0721280 0.107846i
\(586\) −12.0203 + 18.7039i −0.496554 + 0.772653i
\(587\) −6.38911 + 9.94166i −0.263707 + 0.410336i −0.947705 0.319148i \(-0.896603\pi\)
0.683998 + 0.729484i \(0.260240\pi\)
\(588\) 0.284886 4.56990i 0.0117485 0.188459i
\(589\) −1.18589 + 4.03878i −0.0488638 + 0.166415i
\(590\) −1.29500 9.00693i −0.0533143 0.370809i
\(591\) 3.96787 19.0780i 0.163217 0.784762i
\(592\) −3.35220 + 1.53090i −0.137775 + 0.0629195i
\(593\) 0.241084 + 0.821056i 0.00990012 + 0.0337167i 0.964295 0.264831i \(-0.0853161\pi\)
−0.954395 + 0.298547i \(0.903498\pi\)
\(594\) 0.864028 19.6342i 0.0354515 0.805600i
\(595\) 1.36565 + 0.196350i 0.0559860 + 0.00804958i
\(596\) −3.89009 + 2.50001i −0.159344 + 0.102404i
\(597\) −2.03941 2.67305i −0.0834673 0.109400i
\(598\) −4.85558 1.26061i −0.198559 0.0515500i
\(599\) 21.1464i 0.864018i 0.901869 + 0.432009i \(0.142195\pi\)
−0.901869 + 0.432009i \(0.857805\pi\)
\(600\) −1.62831 0.590431i −0.0664755 0.0241042i
\(601\) −5.03858 + 35.0441i −0.205528 + 1.42948i 0.581994 + 0.813193i \(0.302273\pi\)
−0.787522 + 0.616286i \(0.788636\pi\)
\(602\) −12.0293 5.49359i −0.490277 0.223902i
\(603\) 10.3671 0.189544i 0.422180 0.00771883i
\(604\) 1.14338 + 2.50364i 0.0465233 + 0.101872i
\(605\) −2.16461 2.49810i −0.0880041 0.101562i
\(606\) −3.62771 3.56199i −0.147366 0.144696i
\(607\) 3.12684 + 0.918124i 0.126915 + 0.0372655i 0.344573 0.938760i \(-0.388024\pi\)
−0.217658 + 0.976025i \(0.569842\pi\)
\(608\) −0.486656 + 0.561631i −0.0197365 + 0.0227771i
\(609\) 25.8414 2.08579i 1.04715 0.0845204i
\(610\) −10.0504 6.45903i −0.406931 0.261518i
\(611\) −2.09634 1.81649i −0.0848089 0.0734874i
\(612\) 1.04145 1.68758i 0.0420981 0.0682163i
\(613\) 0.946960 0.136152i 0.0382474 0.00549914i −0.123165 0.992386i \(-0.539304\pi\)
0.161412 + 0.986887i \(0.448395\pi\)
\(614\) −4.61422 + 3.99824i −0.186215 + 0.161356i
\(615\) 9.87771 18.4895i 0.398308 0.745568i
\(616\) 7.57459 2.22410i 0.305189 0.0896115i
\(617\) 12.6138 27.6204i 0.507813 1.11196i −0.466037 0.884765i \(-0.654319\pi\)
0.973850 0.227190i \(-0.0729539\pi\)
\(618\) 1.71473 + 3.07317i 0.0689764 + 0.123621i
\(619\) 19.3858 + 30.1650i 0.779183 + 1.21243i 0.972866 + 0.231368i \(0.0743202\pi\)
−0.193683 + 0.981064i \(0.562043\pi\)
\(620\) −5.66415 −0.227478
\(621\) 24.6204 + 3.85182i 0.987982 + 0.154568i
\(622\) −13.1290 −0.526424
\(623\) −9.14376 14.2280i −0.366337 0.570032i
\(624\) −0.882785 1.58214i −0.0353397 0.0633365i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) −8.32229 + 2.44364i −0.332626 + 0.0976677i
\(627\) 2.29401 4.29403i 0.0916141 0.171487i
\(628\) −2.99637 + 2.59637i −0.119568 + 0.103607i
\(629\) 2.41122 0.346681i 0.0961415 0.0138231i
\(630\) −3.28843 + 5.32862i −0.131014 + 0.212297i
\(631\) −22.0520 19.1082i −0.877878 0.760686i 0.0941481 0.995558i \(-0.469987\pi\)
−0.972026 + 0.234872i \(0.924533\pi\)
\(632\) −5.50682 3.53902i −0.219049 0.140775i
\(633\) 3.58255 0.289166i 0.142393 0.0114933i
\(634\) 19.8888 22.9528i 0.789883 0.911574i
\(635\) 10.3681 + 3.04435i 0.411446 + 0.120812i
\(636\) −7.55299 7.41615i −0.299495 0.294070i
\(637\) 1.81083 + 2.08981i 0.0717478 + 0.0828013i
\(638\) −11.2676 24.6726i −0.446089 0.976799i
\(639\) −31.2695 + 0.571709i −1.23700 + 0.0226164i
\(640\) −0.909632 0.415415i −0.0359564 0.0164207i
\(641\) 1.28966 8.96978i 0.0509385 0.354285i −0.948372 0.317160i \(-0.897271\pi\)
0.999311 0.0371252i \(-0.0118200\pi\)
\(642\) 11.6094 + 4.20962i 0.458188 + 0.166141i
\(643\) 38.2327i 1.50775i −0.657018 0.753875i \(-0.728182\pi\)
0.657018 0.753875i \(-0.271818\pi\)
\(644\) 1.73676 + 9.85809i 0.0684380 + 0.388463i
\(645\) −6.65655 8.72473i −0.262102 0.343536i
\(646\) 0.413252 0.265581i 0.0162592 0.0104491i
\(647\) 15.7571 + 2.26553i 0.619477 + 0.0890673i 0.444906 0.895577i \(-0.353237\pi\)
0.174571 + 0.984645i \(0.444146\pi\)
\(648\) 5.13928 + 7.38836i 0.201890 + 0.290242i
\(649\) 9.69634 + 33.0227i 0.380614 + 1.29625i
\(650\) 0.951496 0.434534i 0.0373207 0.0170438i
\(651\) −4.16958 + 20.0478i −0.163419 + 0.785734i
\(652\) 0.327349 + 2.27676i 0.0128200 + 0.0891648i
\(653\) −6.58852 + 22.4384i −0.257829 + 0.878084i 0.724238 + 0.689550i \(0.242192\pi\)
−0.982067 + 0.188534i \(0.939626\pi\)
\(654\) 0.381111 6.11345i 0.0149026 0.239055i
\(655\) −5.49240 + 8.54634i −0.214606 + 0.333933i
\(656\) 6.54325 10.1815i 0.255471 0.397520i
\(657\) 19.3328 + 28.9066i 0.754245 + 1.12775i
\(658\) −1.55936 + 5.31069i −0.0607902 + 0.207032i
\(659\) −0.220335 1.53247i −0.00858304 0.0596964i 0.985080 0.172098i \(-0.0550547\pi\)
−0.993663 + 0.112402i \(0.964146\pi\)
\(660\) 6.41381 + 1.33396i 0.249657 + 0.0519242i
\(661\) −13.4064 + 6.12248i −0.521447 + 0.238137i −0.658709 0.752398i \(-0.728897\pi\)
0.137262 + 0.990535i \(0.456170\pi\)
\(662\) −0.254911 0.868148i −0.00990741 0.0337415i
\(663\) 0.265257 + 1.16787i 0.0103017 + 0.0453563i
\(664\) 1.49027 + 0.214269i 0.0578339 + 0.00831525i
\(665\) −1.30487 + 0.838587i −0.0506006 + 0.0325190i
\(666\) −2.92031 + 10.6630i −0.113160 + 0.413183i
\(667\) 32.6768 10.7268i 1.26525 0.415344i
\(668\) 19.4548i 0.752730i
\(669\) 5.31744 14.6646i 0.205584 0.566966i
\(670\) −0.491878 + 3.42109i −0.0190029 + 0.132168i
\(671\) 41.1031 + 18.7712i 1.58677 + 0.724653i
\(672\) −2.13994 + 2.91376i −0.0825499 + 0.112401i
\(673\) −2.36834 5.18594i −0.0912928 0.199903i 0.858477 0.512851i \(-0.171411\pi\)
−0.949770 + 0.312948i \(0.898683\pi\)
\(674\) 17.5818 + 20.2905i 0.677228 + 0.781562i
\(675\) −4.49056 + 2.61436i −0.172842 + 0.100627i
\(676\) −11.4236 3.35426i −0.439368 0.129010i
\(677\) 8.01771 9.25293i 0.308146 0.355619i −0.580462 0.814287i \(-0.697128\pi\)
0.888608 + 0.458668i \(0.151673\pi\)
\(678\) 1.26573 + 15.6814i 0.0486100 + 0.602242i
\(679\) −28.2725 18.1697i −1.08500 0.697287i
\(680\) 0.499566 + 0.432877i 0.0191575 + 0.0166001i
\(681\) −27.6487 + 10.6013i −1.05950 + 0.406244i
\(682\) 21.2052 3.04885i 0.811989 0.116746i
\(683\) 25.5249 22.1175i 0.976685 0.846302i −0.0114433 0.999935i \(-0.503643\pi\)
0.988128 + 0.153632i \(0.0490972\pi\)
\(684\) 0.357568 + 2.20057i 0.0136720 + 0.0841410i
\(685\) −3.86155 + 1.13385i −0.147542 + 0.0433223i
\(686\) 8.36152 18.3092i 0.319244 0.699048i
\(687\) 18.2557 10.1861i 0.696498 0.388623i
\(688\) −3.42544 5.33009i −0.130594 0.203208i
\(689\) 6.39264 0.243540
\(690\) −2.58357 + 7.89463i −0.0983547 + 0.300543i
\(691\) −24.1473 −0.918608 −0.459304 0.888279i \(-0.651901\pi\)
−0.459304 + 0.888279i \(0.651901\pi\)
\(692\) 8.05290 + 12.5305i 0.306125 + 0.476340i
\(693\) 9.44286 21.7191i 0.358704 0.825042i
\(694\) −2.00953 + 4.40025i −0.0762806 + 0.167031i
\(695\) 9.85294 2.89309i 0.373743 0.109741i
\(696\) 10.9557 + 5.85290i 0.415274 + 0.221854i
\(697\) −6.04613 + 5.23900i −0.229013 + 0.198441i
\(698\) −19.5318 + 2.80825i −0.739289 + 0.106294i
\(699\) 12.7516 + 33.2569i 0.482312 + 1.25789i
\(700\) −1.57741 1.36683i −0.0596204 0.0516614i
\(701\) −27.6474 17.7679i −1.04423 0.671086i −0.0982003 0.995167i \(-0.531309\pi\)
−0.946029 + 0.324081i \(0.894945\pi\)
\(702\) −5.34076 1.00930i −0.201574 0.0380935i
\(703\) −1.79344 + 2.06974i −0.0676408 + 0.0780616i
\(704\) 3.62905 + 1.06558i 0.136775 + 0.0401607i
\(705\) −3.21797 + 3.27735i −0.121196 + 0.123432i
\(706\) −20.9205 24.1436i −0.787355 0.908656i
\(707\) −2.54508 5.57295i −0.0957176 0.209592i
\(708\) −12.7030 9.32942i −0.477409 0.350621i
\(709\) 16.1299 + 7.36626i 0.605770 + 0.276646i 0.694594 0.719401i \(-0.255584\pi\)
−0.0888247 + 0.996047i \(0.528311\pi\)
\(710\) 1.48362 10.3188i 0.0556792 0.387257i
\(711\) −18.7381 + 5.87616i −0.702735 + 0.220373i
\(712\) 8.10308i 0.303676i
\(713\) 0.857902 + 27.1508i 0.0321287 + 1.01680i
\(714\) 1.89988 1.44952i 0.0711011 0.0542468i
\(715\) −3.32827 + 2.13895i −0.124470 + 0.0799922i
\(716\) 20.3127 + 2.92052i 0.759120 + 0.109145i
\(717\) 11.4497 2.60057i 0.427598 0.0971200i
\(718\) 0.896172 + 3.05208i 0.0334448 + 0.113903i
\(719\) 39.9894 18.2626i 1.49135 0.681079i 0.507764 0.861496i \(-0.330472\pi\)
0.983590 + 0.180417i \(0.0577448\pi\)
\(720\) −2.70566 + 1.29592i −0.100834 + 0.0482961i
\(721\) 0.603528 + 4.19763i 0.0224766 + 0.156328i
\(722\) 5.19733 17.7005i 0.193425 0.658743i
\(723\) 52.3113 + 3.26108i 1.94548 + 0.121281i
\(724\) −13.0730 + 20.3421i −0.485856 + 0.756007i
\(725\) −3.87711 + 6.03290i −0.143992 + 0.224056i
\(726\) −5.71413 0.356217i −0.212071 0.0132205i
\(727\) 7.58333 25.8265i 0.281250 0.957851i −0.690794 0.723052i \(-0.742739\pi\)
0.972044 0.234799i \(-0.0754431\pi\)
\(728\) −0.310712 2.16105i −0.0115157 0.0800937i
\(729\) 26.8956 + 2.37175i 0.996134 + 0.0878425i
\(730\) −10.5444 + 4.81545i −0.390264 + 0.178228i
\(731\) 1.17994 + 4.01851i 0.0436417 + 0.148630i
\(732\) −20.1788 + 4.58320i −0.745831 + 0.169400i
\(733\) −12.2134 1.75602i −0.451111 0.0648600i −0.0869850 0.996210i \(-0.527723\pi\)
−0.364126 + 0.931350i \(0.618632\pi\)
\(734\) 25.1189 16.1429i 0.927156 0.595847i
\(735\) 3.64026 2.77734i 0.134273 0.102444i
\(736\) −1.85349 + 4.42319i −0.0683206 + 0.163041i
\(737\) 13.0725i 0.481531i
\(738\) −10.8644 34.6447i −0.399922 1.27529i
\(739\) 1.88621 13.1189i 0.0693855 0.482587i −0.925268 0.379315i \(-0.876160\pi\)
0.994653 0.103272i \(-0.0329312\pi\)
\(740\) −3.35220 1.53090i −0.123229 0.0562769i
\(741\) −1.08518 0.796983i −0.0398651 0.0292779i
\(742\) −5.29892 11.6030i −0.194530 0.425960i
\(743\) −14.5944 16.8428i −0.535416 0.617903i 0.422007 0.906593i \(-0.361326\pi\)
−0.957423 + 0.288690i \(0.906780\pi\)
\(744\) −6.87344 + 7.00026i −0.251993 + 0.256642i
\(745\) −4.43685 1.30278i −0.162554 0.0477300i
\(746\) −24.0641 + 27.7714i −0.881049 + 1.01678i
\(747\) 3.35893 3.01978i 0.122897 0.110488i
\(748\) −2.10326 1.35168i −0.0769028 0.0494224i
\(749\) 11.2465 + 9.74517i 0.410939 + 0.356081i
\(750\) −0.620098 1.61724i −0.0226428 0.0590534i
\(751\) 3.38314 0.486422i 0.123452 0.0177498i −0.0803117 0.996770i \(-0.525592\pi\)
0.203764 + 0.979020i \(0.434682\pi\)
\(752\) −2.00411 + 1.73657i −0.0730823 + 0.0633262i
\(753\) −22.0434 11.7763i −0.803306 0.429154i
\(754\) −7.19750 + 2.11338i −0.262118 + 0.0769647i
\(755\) −1.14338 + 2.50364i −0.0416117 + 0.0911169i
\(756\) 2.59507 + 10.5304i 0.0943819 + 0.382988i
\(757\) −3.87928 6.03627i −0.140995 0.219392i 0.763574 0.645721i \(-0.223443\pi\)
−0.904568 + 0.426329i \(0.859807\pi\)
\(758\) 6.32764 0.229830
\(759\) 5.42280 30.9462i 0.196835 1.12328i
\(760\) −0.743144 −0.0269567
\(761\) 18.9528 + 29.4911i 0.687037 + 1.06905i 0.993126 + 0.117048i \(0.0373431\pi\)
−0.306089 + 0.952003i \(0.599020\pi\)
\(762\) 16.3442 9.11952i 0.592087 0.330365i
\(763\) 3.06631 6.71429i 0.111008 0.243074i
\(764\) −6.93649 + 2.03674i −0.250954 + 0.0736866i
\(765\) 1.95739 0.318054i 0.0707696 0.0114993i
\(766\) −5.57971 + 4.83485i −0.201603 + 0.174690i
\(767\) 9.42145 1.35460i 0.340189 0.0489118i
\(768\) −1.61724 + 0.620098i −0.0583573 + 0.0223759i
\(769\) 23.4998 + 20.3627i 0.847424 + 0.734297i 0.965971 0.258651i \(-0.0832780\pi\)
−0.118546 + 0.992949i \(0.537823\pi\)
\(770\) 6.64116 + 4.26801i 0.239331 + 0.153809i
\(771\) 1.64227 + 20.3465i 0.0591448 + 0.732761i
\(772\) 15.7712 18.2009i 0.567616 0.655064i
\(773\) −48.8089 14.3316i −1.75553 0.515471i −0.763987 0.645231i \(-0.776761\pi\)
−0.991545 + 0.129760i \(0.958579\pi\)
\(