Properties

Label 144.2.u.a.11.13
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0484091 + 1.41338i) q^{2} +(-1.65298 + 0.517369i) q^{3} +(-1.99531 + 0.136841i) q^{4} +(-1.94452 - 0.521033i) q^{5} +(-0.811261 - 2.31125i) q^{6} +(-0.322227 + 0.558114i) q^{7} +(-0.290001 - 2.81352i) q^{8} +(2.46466 - 1.71040i) q^{9} +O(q^{10})\) \(q+(0.0484091 + 1.41338i) q^{2} +(-1.65298 + 0.517369i) q^{3} +(-1.99531 + 0.136841i) q^{4} +(-1.94452 - 0.521033i) q^{5} +(-0.811261 - 2.31125i) q^{6} +(-0.322227 + 0.558114i) q^{7} +(-0.290001 - 2.81352i) q^{8} +(2.46466 - 1.71040i) q^{9} +(0.642288 - 2.77358i) q^{10} +(-5.59477 + 1.49911i) q^{11} +(3.22741 - 1.25851i) q^{12} +(-1.97877 - 0.530209i) q^{13} +(-0.804428 - 0.428413i) q^{14} +(3.48381 - 0.144781i) q^{15} +(3.96255 - 0.546083i) q^{16} +3.05892i q^{17} +(2.53676 + 3.40071i) q^{18} +(4.11098 + 4.11098i) q^{19} +(3.95123 + 0.773533i) q^{20} +(0.243883 - 1.08926i) q^{21} +(-2.38966 - 7.83499i) q^{22} +(-7.05832 + 4.07512i) q^{23} +(1.93499 + 4.50064i) q^{24} +(-0.820436 - 0.473679i) q^{25} +(0.653599 - 2.82243i) q^{26} +(-3.18911 + 4.10239i) q^{27} +(0.566571 - 1.15771i) q^{28} +(4.49126 - 1.20343i) q^{29} +(0.373280 + 4.91696i) q^{30} +(0.147988 - 0.0854411i) q^{31} +(0.963649 + 5.57417i) q^{32} +(8.47242 - 5.37256i) q^{33} +(-4.32343 + 0.148080i) q^{34} +(0.917373 - 0.917373i) q^{35} +(-4.68371 + 3.75005i) q^{36} +(-2.65918 - 2.65918i) q^{37} +(-5.61139 + 6.00941i) q^{38} +(3.54517 - 0.147331i) q^{39} +(-0.902024 + 5.62205i) q^{40} +(0.983212 + 1.70297i) q^{41} +(1.55135 + 0.291970i) q^{42} +(-0.220196 - 0.821783i) q^{43} +(10.9582 - 3.75680i) q^{44} +(-5.68376 + 2.04174i) q^{45} +(-6.10141 - 9.77885i) q^{46} +(4.02475 - 6.97107i) q^{47} +(-6.26747 + 2.95276i) q^{48} +(3.29234 + 5.70250i) q^{49} +(0.629774 - 1.18252i) q^{50} +(-1.58259 - 5.05632i) q^{51} +(4.02081 + 0.787156i) q^{52} +(-3.25765 + 3.25765i) q^{53} +(-5.95263 - 4.30885i) q^{54} +11.6602 q^{55} +(1.66371 + 0.744739i) q^{56} +(-8.92225 - 4.66846i) q^{57} +(1.91833 + 6.28962i) q^{58} +(0.135818 - 0.506879i) q^{59} +(-6.93149 + 0.765614i) q^{60} +(-0.805675 - 3.00682i) q^{61} +(0.127925 + 0.205028i) q^{62} +(0.160417 + 1.92670i) q^{63} +(-7.83180 + 1.63185i) q^{64} +(3.57150 + 2.06201i) q^{65} +(8.00364 + 11.7147i) q^{66} +(0.583631 - 2.17814i) q^{67} +(-0.418587 - 6.10351i) q^{68} +(9.55889 - 10.3878i) q^{69} +(1.34101 + 1.25219i) q^{70} -15.3137i q^{71} +(-5.52699 - 6.43835i) q^{72} +9.33784i q^{73} +(3.62972 - 3.88717i) q^{74} +(1.60123 + 0.358511i) q^{75} +(-8.76525 - 7.64014i) q^{76} +(0.966110 - 3.60557i) q^{77} +(0.379854 + 5.00355i) q^{78} +(-9.44301 - 5.45193i) q^{79} +(-7.98979 - 1.00275i) q^{80} +(3.14908 - 8.43109i) q^{81} +(-2.35936 + 1.47210i) q^{82} +(3.31253 + 12.3625i) q^{83} +(-0.337566 + 2.20679i) q^{84} +(1.59380 - 5.94814i) q^{85} +(1.15084 - 0.351003i) q^{86} +(-6.80132 + 4.31288i) q^{87} +(5.84028 + 15.3062i) q^{88} -3.86733 q^{89} +(-3.16091 - 7.93450i) q^{90} +(0.933529 - 0.933529i) q^{91} +(13.5259 - 9.09702i) q^{92} +(-0.200417 + 0.217797i) q^{93} +(10.0476 + 5.35106i) q^{94} +(-5.85194 - 10.1359i) q^{95} +(-4.47679 - 8.71541i) q^{96} +(-7.33044 + 12.6967i) q^{97} +(-7.90045 + 4.92940i) q^{98} +(-11.2251 + 13.2641i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} + O(q^{10}) \) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27} + 8 q^{28} - 6 q^{29} - 34 q^{30} - 6 q^{32} - 8 q^{33} + 2 q^{34} - 26 q^{36} - 8 q^{37} - 6 q^{38} - 32 q^{39} - 2 q^{40} + 48 q^{42} - 2 q^{43} + 6 q^{45} - 40 q^{46} + 42 q^{48} - 24 q^{49} + 72 q^{50} - 12 q^{51} - 2 q^{52} - 38 q^{54} - 16 q^{55} + 36 q^{56} + 16 q^{58} - 42 q^{59} + 70 q^{60} - 2 q^{61} - 44 q^{64} - 12 q^{65} + 104 q^{66} - 2 q^{67} + 96 q^{68} - 10 q^{69} - 16 q^{70} - 10 q^{72} + 78 q^{74} - 56 q^{75} - 14 q^{76} - 6 q^{77} + 12 q^{78} - 8 q^{81} - 36 q^{82} + 54 q^{83} + 158 q^{84} + 8 q^{85} + 54 q^{86} + 48 q^{87} + 22 q^{88} + 64 q^{90} + 20 q^{91} + 108 q^{92} - 34 q^{93} + 6 q^{94} - 58 q^{96} - 4 q^{97} + 46 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0484091 + 1.41338i 0.0342304 + 0.999414i
\(3\) −1.65298 + 0.517369i −0.954346 + 0.298703i
\(4\) −1.99531 + 0.136841i −0.997657 + 0.0684207i
\(5\) −1.94452 0.521033i −0.869617 0.233013i −0.203695 0.979034i \(-0.565295\pi\)
−0.665922 + 0.746021i \(0.731962\pi\)
\(6\) −0.811261 2.31125i −0.331196 0.943562i
\(7\) −0.322227 + 0.558114i −0.121790 + 0.210947i −0.920474 0.390804i \(-0.872197\pi\)
0.798683 + 0.601751i \(0.205530\pi\)
\(8\) −0.290001 2.81352i −0.102531 0.994730i
\(9\) 2.46466 1.71040i 0.821553 0.570133i
\(10\) 0.642288 2.77358i 0.203109 0.877083i
\(11\) −5.59477 + 1.49911i −1.68689 + 0.452000i −0.969583 0.244762i \(-0.921290\pi\)
−0.717303 + 0.696762i \(0.754623\pi\)
\(12\) 3.22741 1.25851i 0.931672 0.363300i
\(13\) −1.97877 0.530209i −0.548811 0.147054i −0.0262502 0.999655i \(-0.508357\pi\)
−0.522561 + 0.852602i \(0.675023\pi\)
\(14\) −0.804428 0.428413i −0.214992 0.114498i
\(15\) 3.48381 0.144781i 0.899517 0.0373823i
\(16\) 3.96255 0.546083i 0.990637 0.136521i
\(17\) 3.05892i 0.741898i 0.928653 + 0.370949i \(0.120967\pi\)
−0.928653 + 0.370949i \(0.879033\pi\)
\(18\) 2.53676 + 3.40071i 0.597921 + 0.801555i
\(19\) 4.11098 + 4.11098i 0.943124 + 0.943124i 0.998467 0.0553434i \(-0.0176254\pi\)
−0.0553434 + 0.998467i \(0.517625\pi\)
\(20\) 3.95123 + 0.773533i 0.883522 + 0.172967i
\(21\) 0.243883 1.08926i 0.0532196 0.237696i
\(22\) −2.38966 7.83499i −0.509478 1.67043i
\(23\) −7.05832 + 4.07512i −1.47176 + 0.849722i −0.999496 0.0317341i \(-0.989897\pi\)
−0.472266 + 0.881456i \(0.656564\pi\)
\(24\) 1.93499 + 4.50064i 0.394979 + 0.918690i
\(25\) −0.820436 0.473679i −0.164087 0.0947357i
\(26\) 0.653599 2.82243i 0.128181 0.553523i
\(27\) −3.18911 + 4.10239i −0.613745 + 0.789504i
\(28\) 0.566571 1.15771i 0.107072 0.218786i
\(29\) 4.49126 1.20343i 0.834006 0.223471i 0.183545 0.983011i \(-0.441243\pi\)
0.650460 + 0.759540i \(0.274576\pi\)
\(30\) 0.373280 + 4.91696i 0.0681513 + 0.897710i
\(31\) 0.147988 0.0854411i 0.0265795 0.0153457i −0.486651 0.873596i \(-0.661782\pi\)
0.513231 + 0.858251i \(0.328448\pi\)
\(32\) 0.963649 + 5.57417i 0.170351 + 0.985383i
\(33\) 8.47242 5.37256i 1.47486 0.935242i
\(34\) −4.32343 + 0.148080i −0.741463 + 0.0253955i
\(35\) 0.917373 0.917373i 0.155064 0.155064i
\(36\) −4.68371 + 3.75005i −0.780618 + 0.625008i
\(37\) −2.65918 2.65918i −0.437167 0.437167i 0.453891 0.891057i \(-0.350036\pi\)
−0.891057 + 0.453891i \(0.850036\pi\)
\(38\) −5.61139 + 6.00941i −0.910288 + 0.974855i
\(39\) 3.54517 0.147331i 0.567681 0.0235918i
\(40\) −0.902024 + 5.62205i −0.142623 + 0.888925i
\(41\) 0.983212 + 1.70297i 0.153552 + 0.265960i 0.932531 0.361090i \(-0.117595\pi\)
−0.778979 + 0.627050i \(0.784262\pi\)
\(42\) 1.55135 + 0.291970i 0.239378 + 0.0450519i
\(43\) −0.220196 0.821783i −0.0335796 0.125321i 0.947101 0.320934i \(-0.103997\pi\)
−0.980681 + 0.195614i \(0.937330\pi\)
\(44\) 10.9582 3.75680i 1.65201 0.566358i
\(45\) −5.68376 + 2.04174i −0.847284 + 0.304364i
\(46\) −6.10141 9.77885i −0.899603 1.44181i
\(47\) 4.02475 6.97107i 0.587070 1.01684i −0.407544 0.913186i \(-0.633615\pi\)
0.994614 0.103650i \(-0.0330520\pi\)
\(48\) −6.26747 + 2.95276i −0.904631 + 0.426195i
\(49\) 3.29234 + 5.70250i 0.470334 + 0.814643i
\(50\) 0.629774 1.18252i 0.0890634 0.167234i
\(51\) −1.58259 5.05632i −0.221607 0.708027i
\(52\) 4.02081 + 0.787156i 0.557587 + 0.109159i
\(53\) −3.25765 + 3.25765i −0.447473 + 0.447473i −0.894514 0.447041i \(-0.852478\pi\)
0.447041 + 0.894514i \(0.352478\pi\)
\(54\) −5.95263 4.30885i −0.810050 0.586360i
\(55\) 11.6602 1.57227
\(56\) 1.66371 + 0.744739i 0.222323 + 0.0995199i
\(57\) −8.92225 4.66846i −1.18178 0.618352i
\(58\) 1.91833 + 6.28962i 0.251889 + 0.825867i
\(59\) 0.135818 0.506879i 0.0176820 0.0659900i −0.956521 0.291663i \(-0.905791\pi\)
0.974203 + 0.225673i \(0.0724581\pi\)
\(60\) −6.93149 + 0.765614i −0.894851 + 0.0988403i
\(61\) −0.805675 3.00682i −0.103156 0.384984i 0.894973 0.446120i \(-0.147194\pi\)
−0.998129 + 0.0611358i \(0.980528\pi\)
\(62\) 0.127925 + 0.205028i 0.0162465 + 0.0260386i
\(63\) 0.160417 + 1.92670i 0.0202106 + 0.242741i
\(64\) −7.83180 + 1.63185i −0.978975 + 0.203981i
\(65\) 3.57150 + 2.06201i 0.442990 + 0.255760i
\(66\) 8.00364 + 11.7147i 0.985179 + 1.44198i
\(67\) 0.583631 2.17814i 0.0713019 0.266102i −0.921067 0.389403i \(-0.872681\pi\)
0.992369 + 0.123301i \(0.0393480\pi\)
\(68\) −0.418587 6.10351i −0.0507612 0.740159i
\(69\) 9.55889 10.3878i 1.15076 1.25055i
\(70\) 1.34101 + 1.25219i 0.160281 + 0.149666i
\(71\) 15.3137i 1.81741i −0.417442 0.908704i \(-0.637073\pi\)
0.417442 0.908704i \(-0.362927\pi\)
\(72\) −5.52699 6.43835i −0.651362 0.758767i
\(73\) 9.33784i 1.09291i 0.837488 + 0.546456i \(0.184023\pi\)
−0.837488 + 0.546456i \(0.815977\pi\)
\(74\) 3.62972 3.88717i 0.421946 0.451875i
\(75\) 1.60123 + 0.358511i 0.184894 + 0.0413973i
\(76\) −8.76525 7.64014i −1.00544 0.876385i
\(77\) 0.966110 3.60557i 0.110098 0.410893i
\(78\) 0.379854 + 5.00355i 0.0430099 + 0.566541i
\(79\) −9.44301 5.45193i −1.06242 0.613390i −0.136321 0.990665i \(-0.543528\pi\)
−0.926101 + 0.377275i \(0.876861\pi\)
\(80\) −7.98979 1.00275i −0.893286 0.112111i
\(81\) 3.14908 8.43109i 0.349897 0.936788i
\(82\) −2.35936 + 1.47210i −0.260548 + 0.162566i
\(83\) 3.31253 + 12.3625i 0.363598 + 1.35697i 0.869312 + 0.494264i \(0.164563\pi\)
−0.505714 + 0.862701i \(0.668771\pi\)
\(84\) −0.337566 + 2.20679i −0.0368315 + 0.240780i
\(85\) 1.59380 5.94814i 0.172872 0.645167i
\(86\) 1.15084 0.351003i 0.124098 0.0378497i
\(87\) −6.80132 + 4.31288i −0.729178 + 0.462389i
\(88\) 5.84028 + 15.3062i 0.622575 + 1.63165i
\(89\) −3.86733 −0.409936 −0.204968 0.978769i \(-0.565709\pi\)
−0.204968 + 0.978769i \(0.565709\pi\)
\(90\) −3.16091 7.93450i −0.333189 0.836369i
\(91\) 0.933529 0.933529i 0.0978604 0.0978604i
\(92\) 13.5259 9.09702i 1.41017 0.948430i
\(93\) −0.200417 + 0.217797i −0.0207822 + 0.0225845i
\(94\) 10.0476 + 5.35106i 1.03633 + 0.551919i
\(95\) −5.85194 10.1359i −0.600396 1.03992i
\(96\) −4.47679 8.71541i −0.456911 0.889512i
\(97\) −7.33044 + 12.6967i −0.744293 + 1.28915i 0.206231 + 0.978503i \(0.433880\pi\)
−0.950524 + 0.310650i \(0.899453\pi\)
\(98\) −7.90045 + 4.92940i −0.798066 + 0.497944i
\(99\) −11.2251 + 13.2641i −1.12817 + 1.33309i
\(100\) 1.70184 + 0.832868i 0.170184 + 0.0832868i
\(101\) −0.631544 2.35695i −0.0628410 0.234526i 0.927361 0.374168i \(-0.122072\pi\)
−0.990202 + 0.139642i \(0.955405\pi\)
\(102\) 7.06992 2.48158i 0.700026 0.245713i
\(103\) 2.00255 + 3.46852i 0.197317 + 0.341763i 0.947658 0.319288i \(-0.103444\pi\)
−0.750341 + 0.661051i \(0.770110\pi\)
\(104\) −0.917910 + 5.72106i −0.0900084 + 0.560996i
\(105\) −1.04178 + 1.99102i −0.101667 + 0.194303i
\(106\) −4.76201 4.44661i −0.462528 0.431893i
\(107\) −1.96059 1.96059i −0.189537 0.189537i 0.605959 0.795496i \(-0.292790\pi\)
−0.795496 + 0.605959i \(0.792790\pi\)
\(108\) 5.80190 8.62195i 0.558288 0.829647i
\(109\) −10.8066 + 10.8066i −1.03509 + 1.03509i −0.0357265 + 0.999362i \(0.511375\pi\)
−0.999362 + 0.0357265i \(0.988625\pi\)
\(110\) 0.564462 + 16.4804i 0.0538193 + 1.57134i
\(111\) 5.77134 + 3.01978i 0.547791 + 0.286625i
\(112\) −0.972064 + 2.38752i −0.0918514 + 0.225599i
\(113\) −5.23197 + 3.02068i −0.492183 + 0.284162i −0.725479 0.688244i \(-0.758382\pi\)
0.233297 + 0.972406i \(0.425049\pi\)
\(114\) 6.16641 12.8366i 0.577537 1.20225i
\(115\) 15.8483 4.24655i 1.47787 0.395993i
\(116\) −8.79679 + 3.01581i −0.816761 + 0.280011i
\(117\) −5.78385 + 2.07770i −0.534717 + 0.192083i
\(118\) 0.722990 + 0.167425i 0.0665566 + 0.0154127i
\(119\) −1.70723 0.985668i −0.156501 0.0903560i
\(120\) −1.41765 9.75980i −0.129414 0.890944i
\(121\) 19.5278 11.2744i 1.77525 1.02494i
\(122\) 4.21079 1.28429i 0.381227 0.116274i
\(123\) −2.50629 2.30629i −0.225985 0.207951i
\(124\) −0.283591 + 0.190733i −0.0254672 + 0.0171283i
\(125\) 8.46600 + 8.46600i 0.757222 + 0.757222i
\(126\) −2.71540 + 0.320001i −0.241907 + 0.0285079i
\(127\) 5.90485i 0.523971i 0.965072 + 0.261985i \(0.0843772\pi\)
−0.965072 + 0.261985i \(0.915623\pi\)
\(128\) −2.68556 10.9903i −0.237372 0.971419i
\(129\) 0.789144 + 1.24446i 0.0694802 + 0.109569i
\(130\) −2.74152 + 5.14772i −0.240447 + 0.451485i
\(131\) −1.55900 0.417733i −0.136211 0.0364975i 0.190070 0.981771i \(-0.439129\pi\)
−0.326280 + 0.945273i \(0.605795\pi\)
\(132\) −16.1699 + 11.8793i −1.40741 + 1.03396i
\(133\) −3.61906 + 0.969725i −0.313813 + 0.0840859i
\(134\) 3.10681 + 0.719454i 0.268387 + 0.0621513i
\(135\) 8.33878 6.31555i 0.717688 0.543556i
\(136\) 8.60634 0.887091i 0.737988 0.0760674i
\(137\) −5.55314 + 9.61831i −0.474436 + 0.821748i −0.999572 0.0292708i \(-0.990681\pi\)
0.525135 + 0.851019i \(0.324015\pi\)
\(138\) 15.1448 + 13.0075i 1.28921 + 1.10727i
\(139\) 11.1674 + 2.99230i 0.947207 + 0.253803i 0.699177 0.714949i \(-0.253550\pi\)
0.248030 + 0.968752i \(0.420217\pi\)
\(140\) −1.70491 + 1.95598i −0.144091 + 0.165311i
\(141\) −3.04620 + 13.6053i −0.256536 + 1.14577i
\(142\) 21.6442 0.741325i 1.81634 0.0622106i
\(143\) 11.8656 0.992250
\(144\) 8.83231 8.12344i 0.736026 0.676954i
\(145\) −9.36038 −0.777337
\(146\) −13.1980 + 0.452037i −1.09227 + 0.0374109i
\(147\) −8.39246 7.72274i −0.692198 0.636961i
\(148\) 5.66979 + 4.94201i 0.466053 + 0.406231i
\(149\) 21.2808 + 5.70216i 1.74339 + 0.467139i 0.983195 0.182558i \(-0.0584378\pi\)
0.760193 + 0.649698i \(0.225104\pi\)
\(150\) −0.429200 + 2.28050i −0.0350441 + 0.186202i
\(151\) −8.13154 + 14.0842i −0.661735 + 1.14616i 0.318425 + 0.947948i \(0.396846\pi\)
−0.980160 + 0.198210i \(0.936487\pi\)
\(152\) 10.3741 12.7585i 0.841454 1.03485i
\(153\) 5.23197 + 7.53920i 0.422980 + 0.609508i
\(154\) 5.14283 + 1.19094i 0.414421 + 0.0959689i
\(155\) −0.332284 + 0.0890353i −0.0266897 + 0.00715149i
\(156\) −7.05356 + 0.779097i −0.564737 + 0.0623777i
\(157\) −22.9837 6.15846i −1.83430 0.491499i −0.835942 0.548817i \(-0.815078\pi\)
−0.998356 + 0.0573183i \(0.981745\pi\)
\(158\) 7.24854 13.6105i 0.576663 1.08280i
\(159\) 3.69941 7.07023i 0.293382 0.560705i
\(160\) 1.03049 11.3412i 0.0814674 0.896600i
\(161\) 5.25246i 0.413952i
\(162\) 12.0688 + 4.04272i 0.948216 + 0.317626i
\(163\) −11.4188 11.4188i −0.894390 0.894390i 0.100543 0.994933i \(-0.467942\pi\)
−0.994933 + 0.100543i \(0.967942\pi\)
\(164\) −2.19485 3.26342i −0.171389 0.254830i
\(165\) −19.2741 + 6.03265i −1.50049 + 0.469641i
\(166\) −17.3127 + 5.28035i −1.34372 + 0.409834i
\(167\) 0.427233 0.246663i 0.0330603 0.0190874i −0.483379 0.875411i \(-0.660591\pi\)
0.516439 + 0.856324i \(0.327257\pi\)
\(168\) −3.13538 0.370283i −0.241900 0.0285679i
\(169\) −7.62393 4.40168i −0.586456 0.338591i
\(170\) 8.48417 + 1.96471i 0.650706 + 0.150686i
\(171\) 17.1636 + 3.10075i 1.31253 + 0.237120i
\(172\) 0.551814 + 1.60958i 0.0420754 + 0.122729i
\(173\) 19.8154 5.30952i 1.50654 0.403675i 0.591254 0.806486i \(-0.298633\pi\)
0.915284 + 0.402810i \(0.131967\pi\)
\(174\) −6.42500 9.40411i −0.487078 0.712923i
\(175\) 0.528733 0.305264i 0.0399685 0.0230758i
\(176\) −21.3509 + 8.99552i −1.60938 + 0.678063i
\(177\) 0.0377401 + 0.908126i 0.00283672 + 0.0682590i
\(178\) −0.187214 5.46602i −0.0140323 0.409696i
\(179\) 7.49467 7.49467i 0.560178 0.560178i −0.369180 0.929358i \(-0.620361\pi\)
0.929358 + 0.369180i \(0.120361\pi\)
\(180\) 11.0615 4.85168i 0.824474 0.361623i
\(181\) 0.879477 + 0.879477i 0.0653710 + 0.0653710i 0.739036 0.673665i \(-0.235281\pi\)
−0.673665 + 0.739036i \(0.735281\pi\)
\(182\) 1.36463 + 1.27424i 0.101153 + 0.0944533i
\(183\) 2.88740 + 4.55337i 0.213443 + 0.336595i
\(184\) 13.5124 + 18.6769i 0.996145 + 1.37688i
\(185\) 3.78532 + 6.55636i 0.278302 + 0.482033i
\(186\) −0.317533 0.272722i −0.0232826 0.0199970i
\(187\) −4.58567 17.1140i −0.335337 1.25150i
\(188\) −7.07670 + 14.4602i −0.516122 + 1.05462i
\(189\) −1.26198 3.10179i −0.0917954 0.225622i
\(190\) 14.0426 8.76171i 1.01876 0.635641i
\(191\) −3.97558 + 6.88590i −0.287663 + 0.498246i −0.973251 0.229743i \(-0.926211\pi\)
0.685589 + 0.727989i \(0.259545\pi\)
\(192\) 12.1015 6.74934i 0.873351 0.487092i
\(193\) −2.95444 5.11723i −0.212665 0.368346i 0.739883 0.672736i \(-0.234881\pi\)
−0.952548 + 0.304389i \(0.901548\pi\)
\(194\) −18.3002 9.74609i −1.31388 0.699729i
\(195\) −6.97042 1.56066i −0.499162 0.111761i
\(196\) −7.34959 10.9277i −0.524970 0.780553i
\(197\) −11.6691 + 11.6691i −0.831390 + 0.831390i −0.987707 0.156317i \(-0.950038\pi\)
0.156317 + 0.987707i \(0.450038\pi\)
\(198\) −19.2906 15.2233i −1.37093 1.08187i
\(199\) 0.633451 0.0449041 0.0224521 0.999748i \(-0.492853\pi\)
0.0224521 + 0.999748i \(0.492853\pi\)
\(200\) −1.09478 + 2.44568i −0.0774125 + 0.172936i
\(201\) 0.162175 + 3.90237i 0.0114390 + 0.275252i
\(202\) 3.30071 1.00671i 0.232237 0.0708321i
\(203\) −0.775555 + 2.89441i −0.0544333 + 0.203148i
\(204\) 3.84968 + 9.87239i 0.269532 + 0.691205i
\(205\) −1.02457 3.82376i −0.0715592 0.267063i
\(206\) −4.80541 + 2.99828i −0.334809 + 0.208900i
\(207\) −10.4263 + 22.1163i −0.724676 + 1.53719i
\(208\) −8.13050 1.02041i −0.563749 0.0707525i
\(209\) −29.1628 16.8372i −2.01723 1.16465i
\(210\) −2.86450 1.37605i −0.197670 0.0949562i
\(211\) 5.54263 20.6854i 0.381570 1.42404i −0.461932 0.886915i \(-0.652844\pi\)
0.843503 0.537125i \(-0.180490\pi\)
\(212\) 6.05425 6.94582i 0.415808 0.477041i
\(213\) 7.92286 + 25.3133i 0.542866 + 1.73444i
\(214\) 2.67616 2.86598i 0.182938 0.195914i
\(215\) 1.71270i 0.116805i
\(216\) 12.4670 + 7.78294i 0.848271 + 0.529562i
\(217\) 0.110126i 0.00747582i
\(218\) −15.7971 14.7508i −1.06991 0.999050i
\(219\) −4.83111 15.4352i −0.326456 1.04302i
\(220\) −23.2658 + 1.59560i −1.56858 + 0.107576i
\(221\) 1.62187 6.05289i 0.109099 0.407162i
\(222\) −3.98873 + 8.30331i −0.267706 + 0.557282i
\(223\) −13.1779 7.60824i −0.882455 0.509485i −0.0109877 0.999940i \(-0.503498\pi\)
−0.871467 + 0.490454i \(0.836831\pi\)
\(224\) −3.42153 1.25832i −0.228611 0.0840752i
\(225\) −2.83227 + 0.235815i −0.188818 + 0.0157210i
\(226\) −4.52266 7.24856i −0.300843 0.482167i
\(227\) 3.90123 + 14.5596i 0.258934 + 0.966353i 0.965860 + 0.259066i \(0.0834146\pi\)
−0.706926 + 0.707287i \(0.749919\pi\)
\(228\) 18.4415 + 8.09410i 1.22132 + 0.536045i
\(229\) −2.78483 + 10.3931i −0.184026 + 0.686796i 0.810810 + 0.585309i \(0.199027\pi\)
−0.994837 + 0.101487i \(0.967640\pi\)
\(230\) 6.76921 + 22.1942i 0.446349 + 1.46344i
\(231\) 0.268456 + 6.45976i 0.0176631 + 0.425021i
\(232\) −4.68834 12.2873i −0.307805 0.806698i
\(233\) −2.05717 −0.134770 −0.0673848 0.997727i \(-0.521466\pi\)
−0.0673848 + 0.997727i \(0.521466\pi\)
\(234\) −3.21657 8.07423i −0.210274 0.527829i
\(235\) −11.4584 + 11.4584i −0.747462 + 0.747462i
\(236\) −0.201637 + 1.02997i −0.0131254 + 0.0670452i
\(237\) 18.4297 + 4.12638i 1.19714 + 0.268037i
\(238\) 1.31048 2.46068i 0.0849459 0.159502i
\(239\) 4.07795 + 7.06322i 0.263781 + 0.456882i 0.967243 0.253851i \(-0.0816971\pi\)
−0.703463 + 0.710732i \(0.748364\pi\)
\(240\) 13.7257 2.47615i 0.885992 0.159835i
\(241\) 5.82747 10.0935i 0.375380 0.650178i −0.615003 0.788524i \(-0.710845\pi\)
0.990384 + 0.138346i \(0.0441787\pi\)
\(242\) 16.8804 + 27.0545i 1.08511 + 1.73913i
\(243\) −0.843360 + 15.5656i −0.0541015 + 0.998535i
\(244\) 2.01903 + 5.88930i 0.129255 + 0.377024i
\(245\) −3.43084 12.8041i −0.219188 0.818021i
\(246\) 3.13835 3.65400i 0.200094 0.232971i
\(247\) −5.95500 10.3144i −0.378907 0.656287i
\(248\) −0.283307 0.391590i −0.0179900 0.0248660i
\(249\) −11.8715 18.7212i −0.752328 1.18641i
\(250\) −11.5559 + 12.3755i −0.730858 + 0.782698i
\(251\) −0.0658814 0.0658814i −0.00415840 0.00415840i 0.705025 0.709183i \(-0.250936\pi\)
−0.709183 + 0.705025i \(0.750936\pi\)
\(252\) −0.583734 3.82241i −0.0367718 0.240789i
\(253\) 33.3806 33.3806i 2.09862 2.09862i
\(254\) −8.34582 + 0.285849i −0.523664 + 0.0179357i
\(255\) 0.442874 + 10.6567i 0.0277338 + 0.667350i
\(256\) 15.4036 4.32776i 0.962724 0.270485i
\(257\) 14.7849 8.53605i 0.922255 0.532464i 0.0379016 0.999281i \(-0.487933\pi\)
0.884354 + 0.466817i \(0.154599\pi\)
\(258\) −1.72071 + 1.17561i −0.107126 + 0.0731901i
\(259\) 2.34099 0.627265i 0.145462 0.0389764i
\(260\) −7.40843 3.62562i −0.459451 0.224851i
\(261\) 9.01107 10.6479i 0.557771 0.659087i
\(262\) 0.514948 2.22369i 0.0318136 0.137380i
\(263\) −6.39765 3.69369i −0.394496 0.227762i 0.289610 0.957145i \(-0.406474\pi\)
−0.684106 + 0.729382i \(0.739808\pi\)
\(264\) −17.5728 22.2793i −1.08153 1.37119i
\(265\) 8.03192 4.63723i 0.493397 0.284863i
\(266\) −1.54579 5.06819i −0.0947785 0.310751i
\(267\) 6.39260 2.00084i 0.391221 0.122449i
\(268\) −0.866467 + 4.42594i −0.0529279 + 0.270357i
\(269\) −7.77076 7.77076i −0.473792 0.473792i 0.429348 0.903139i \(-0.358744\pi\)
−0.903139 + 0.429348i \(0.858744\pi\)
\(270\) 9.32997 + 11.4802i 0.567804 + 0.698661i
\(271\) 15.0480i 0.914103i 0.889440 + 0.457052i \(0.151095\pi\)
−0.889440 + 0.457052i \(0.848905\pi\)
\(272\) 1.67043 + 12.1211i 0.101284 + 0.734951i
\(273\) −1.06012 + 2.02608i −0.0641615 + 0.122624i
\(274\) −13.8632 7.38310i −0.837507 0.446030i
\(275\) 5.30024 + 1.42020i 0.319617 + 0.0856410i
\(276\) −17.6515 + 22.0350i −1.06250 + 1.32635i
\(277\) 13.5306 3.62552i 0.812976 0.217836i 0.171702 0.985149i \(-0.445073\pi\)
0.641273 + 0.767313i \(0.278407\pi\)
\(278\) −3.68866 + 15.9287i −0.221231 + 0.955340i
\(279\) 0.218602 0.463702i 0.0130874 0.0277611i
\(280\) −2.84709 2.31501i −0.170146 0.138348i
\(281\) 7.72501 13.3801i 0.460835 0.798190i −0.538167 0.842838i \(-0.680883\pi\)
0.999003 + 0.0446477i \(0.0142165\pi\)
\(282\) −19.3770 3.64683i −1.15388 0.217165i
\(283\) 6.38640 + 1.71123i 0.379632 + 0.101722i 0.443588 0.896231i \(-0.353705\pi\)
−0.0639565 + 0.997953i \(0.520372\pi\)
\(284\) 2.09556 + 30.5557i 0.124348 + 1.81315i
\(285\) 14.9171 + 13.7267i 0.883612 + 0.813100i
\(286\) 0.574403 + 16.7706i 0.0339651 + 0.991668i
\(287\) −1.26727 −0.0748046
\(288\) 11.9091 + 12.0902i 0.701751 + 0.712422i
\(289\) 7.64299 0.449588
\(290\) −0.453128 13.2298i −0.0266086 0.776882i
\(291\) 5.54816 24.7799i 0.325239 1.45262i
\(292\) −1.27780 18.6319i −0.0747779 1.09035i
\(293\) 15.6194 + 4.18520i 0.912493 + 0.244502i 0.684374 0.729131i \(-0.260076\pi\)
0.228119 + 0.973633i \(0.426742\pi\)
\(294\) 10.5089 12.2356i 0.612893 0.713596i
\(295\) −0.528201 + 0.914872i −0.0307531 + 0.0532659i
\(296\) −6.71050 + 8.25283i −0.390040 + 0.479686i
\(297\) 11.6924 27.7327i 0.678462 1.60922i
\(298\) −7.02917 + 30.3539i −0.407189 + 1.75836i
\(299\) 16.1274 4.32134i 0.932674 0.249909i
\(300\) −3.24401 0.496228i −0.187293 0.0286497i
\(301\) 0.529601 + 0.141906i 0.0305257 + 0.00817934i
\(302\) −20.3001 10.8112i −1.16814 0.622114i
\(303\) 2.26334 + 3.56925i 0.130026 + 0.205048i
\(304\) 18.5349 + 14.0450i 1.06305 + 0.805538i
\(305\) 6.26661i 0.358825i
\(306\) −10.4025 + 7.75976i −0.594672 + 0.443596i
\(307\) −7.76011 7.76011i −0.442893 0.442893i 0.450090 0.892983i \(-0.351392\pi\)
−0.892983 + 0.450090i \(0.851392\pi\)
\(308\) −1.43430 + 7.32645i −0.0817268 + 0.417463i
\(309\) −5.10467 4.69732i −0.290395 0.267221i
\(310\) −0.141927 0.465335i −0.00806090 0.0264293i
\(311\) −3.77550 + 2.17978i −0.214089 + 0.123604i −0.603210 0.797582i \(-0.706112\pi\)
0.389121 + 0.921186i \(0.372779\pi\)
\(312\) −1.44262 9.93168i −0.0816723 0.562271i
\(313\) 2.20758 + 1.27455i 0.124780 + 0.0720416i 0.561091 0.827754i \(-0.310382\pi\)
−0.436311 + 0.899796i \(0.643715\pi\)
\(314\) 7.59166 32.7829i 0.428422 1.85005i
\(315\) 0.691938 3.83009i 0.0389863 0.215801i
\(316\) 19.5878 + 9.58610i 1.10190 + 0.539260i
\(317\) −18.3388 + 4.91388i −1.03001 + 0.275991i −0.733969 0.679183i \(-0.762334\pi\)
−0.296044 + 0.955174i \(0.595667\pi\)
\(318\) 10.1720 + 4.88643i 0.570419 + 0.274017i
\(319\) −23.3235 + 13.4658i −1.30586 + 0.753941i
\(320\) 16.0794 + 0.907462i 0.898863 + 0.0507287i
\(321\) 4.25515 + 2.22646i 0.237500 + 0.124269i
\(322\) 7.42375 0.254267i 0.413709 0.0141698i
\(323\) −12.5752 + 12.5752i −0.699701 + 0.699701i
\(324\) −5.12967 + 17.2536i −0.284982 + 0.958533i
\(325\) 1.37230 + 1.37230i 0.0761216 + 0.0761216i
\(326\) 15.5864 16.6919i 0.863250 0.924481i
\(327\) 12.2721 23.4541i 0.678648 1.29702i
\(328\) 4.50622 3.26015i 0.248814 0.180012i
\(329\) 2.59377 + 4.49254i 0.142999 + 0.247681i
\(330\) −9.45950 26.9497i −0.520728 1.48353i
\(331\) 5.58231 + 20.8335i 0.306831 + 1.14511i 0.931357 + 0.364106i \(0.118626\pi\)
−0.624526 + 0.781004i \(0.714708\pi\)
\(332\) −8.30125 24.2139i −0.455590 1.32891i
\(333\) −11.1022 2.00571i −0.608398 0.109912i
\(334\) 0.369312 + 0.591904i 0.0202078 + 0.0323875i
\(335\) −2.26977 + 3.93135i −0.124011 + 0.214793i
\(336\) 0.371571 4.44942i 0.0202709 0.242736i
\(337\) 8.17417 + 14.1581i 0.445275 + 0.771239i 0.998071 0.0620772i \(-0.0197725\pi\)
−0.552796 + 0.833317i \(0.686439\pi\)
\(338\) 5.85220 10.9886i 0.318318 0.597703i
\(339\) 7.08552 7.69997i 0.384832 0.418205i
\(340\) −2.36618 + 12.0865i −0.128324 + 0.655483i
\(341\) −0.699874 + 0.699874i −0.0379003 + 0.0379003i
\(342\) −3.55168 + 24.4088i −0.192053 + 1.31988i
\(343\) −8.75470 −0.472709
\(344\) −2.24825 + 0.857844i −0.121217 + 0.0462518i
\(345\) −23.9999 + 15.2189i −1.29211 + 0.819358i
\(346\) 8.46364 + 27.7498i 0.455008 + 1.49184i
\(347\) 2.09454 7.81694i 0.112441 0.419635i −0.886642 0.462457i \(-0.846968\pi\)
0.999083 + 0.0428214i \(0.0136347\pi\)
\(348\) 12.9806 9.53625i 0.695833 0.511196i
\(349\) 4.31180 + 16.0919i 0.230806 + 0.861378i 0.979995 + 0.199022i \(0.0637767\pi\)
−0.749189 + 0.662356i \(0.769557\pi\)
\(350\) 0.457051 + 0.732526i 0.0244304 + 0.0391551i
\(351\) 8.48563 6.42677i 0.452930 0.343035i
\(352\) −13.7477 29.7416i −0.732755 1.58523i
\(353\) −11.3077 6.52852i −0.601849 0.347478i 0.167919 0.985801i \(-0.446295\pi\)
−0.769769 + 0.638323i \(0.779628\pi\)
\(354\) −1.28171 + 0.0973029i −0.0681219 + 0.00517159i
\(355\) −7.97897 + 29.7779i −0.423480 + 1.58045i
\(356\) 7.71653 0.529211i 0.408975 0.0280481i
\(357\) 3.33196 + 0.746018i 0.176346 + 0.0394835i
\(358\) 10.9557 + 10.2300i 0.579025 + 0.540675i
\(359\) 21.1411i 1.11578i 0.829914 + 0.557892i \(0.188390\pi\)
−0.829914 + 0.557892i \(0.811610\pi\)
\(360\) 7.39277 + 15.3993i 0.389633 + 0.811612i
\(361\) 14.8003i 0.778966i
\(362\) −1.20047 + 1.28561i −0.0630951 + 0.0675704i
\(363\) −26.4460 + 28.7394i −1.38805 + 1.50843i
\(364\) −1.73494 + 1.99043i −0.0909354 + 0.104327i
\(365\) 4.86533 18.1576i 0.254663 0.950415i
\(366\) −6.29589 + 4.30143i −0.329091 + 0.224839i
\(367\) 27.7535 + 16.0235i 1.44872 + 0.836419i 0.998405 0.0564512i \(-0.0179785\pi\)
0.450315 + 0.892870i \(0.351312\pi\)
\(368\) −25.7436 + 20.0023i −1.34198 + 1.04269i
\(369\) 5.33604 + 2.51556i 0.277783 + 0.130955i
\(370\) −9.08341 + 5.66749i −0.472224 + 0.294639i
\(371\) −0.768436 2.86784i −0.0398952 0.148891i
\(372\) 0.370090 0.461998i 0.0191883 0.0239535i
\(373\) −0.185580 + 0.692592i −0.00960894 + 0.0358611i −0.970564 0.240844i \(-0.922576\pi\)
0.960955 + 0.276705i \(0.0892425\pi\)
\(374\) 23.9666 7.30979i 1.23928 0.377980i
\(375\) −18.3741 9.61404i −0.948836 0.496467i
\(376\) −20.7804 9.30210i −1.07167 0.479719i
\(377\) −9.52522 −0.490574
\(378\) 4.32293 1.93382i 0.222347 0.0994648i
\(379\) −3.65005 + 3.65005i −0.187491 + 0.187491i −0.794610 0.607120i \(-0.792325\pi\)
0.607120 + 0.794610i \(0.292325\pi\)
\(380\) 13.0635 + 19.4234i 0.670141 + 0.996400i
\(381\) −3.05499 9.76057i −0.156512 0.500049i
\(382\) −9.92488 5.28568i −0.507801 0.270439i
\(383\) −9.73635 16.8639i −0.497504 0.861703i 0.502492 0.864582i \(-0.332417\pi\)
−0.999996 + 0.00287933i \(0.999083\pi\)
\(384\) 10.1252 + 16.7774i 0.516701 + 0.856166i
\(385\) −3.75724 + 6.50774i −0.191487 + 0.331665i
\(386\) 7.08960 4.42348i 0.360851 0.225149i
\(387\) −1.94828 1.64879i −0.0990368 0.0838127i
\(388\) 12.8891 26.3370i 0.654344 1.33706i
\(389\) 0.0834155 + 0.311311i 0.00422934 + 0.0157841i 0.968008 0.250918i \(-0.0807326\pi\)
−0.963779 + 0.266702i \(0.914066\pi\)
\(390\) 1.86838 9.92744i 0.0946093 0.502695i
\(391\) −12.4655 21.5909i −0.630407 1.09190i
\(392\) 15.0893 10.9168i 0.762126 0.551381i
\(393\) 2.79311 0.116077i 0.140894 0.00585530i
\(394\) −17.0579 15.9281i −0.859362 0.802444i
\(395\) 15.5215 + 15.5215i 0.780972 + 0.780972i
\(396\) 20.5825 28.0021i 1.03431 1.40716i
\(397\) 3.56364 3.56364i 0.178854 0.178854i −0.612002 0.790856i \(-0.709636\pi\)
0.790856 + 0.612002i \(0.209636\pi\)
\(398\) 0.0306648 + 0.895309i 0.00153709 + 0.0448778i
\(399\) 5.48052 3.47533i 0.274369 0.173984i
\(400\) −3.50968 1.42895i −0.175484 0.0714474i
\(401\) −16.5507 + 9.55556i −0.826503 + 0.477182i −0.852654 0.522476i \(-0.825008\pi\)
0.0261506 + 0.999658i \(0.491675\pi\)
\(402\) −5.50770 + 0.418127i −0.274699 + 0.0208543i
\(403\) −0.338136 + 0.0906033i −0.0168438 + 0.00451327i
\(404\) 1.58266 + 4.61644i 0.0787401 + 0.229677i
\(405\) −10.5163 + 14.7537i −0.522561 + 0.733116i
\(406\) −4.12846 0.956041i −0.204892 0.0474475i
\(407\) 18.8639 + 10.8911i 0.935049 + 0.539851i
\(408\) −13.7671 + 5.91900i −0.681574 + 0.293034i
\(409\) −11.7821 + 6.80241i −0.582589 + 0.336358i −0.762161 0.647387i \(-0.775862\pi\)
0.179573 + 0.983745i \(0.442528\pi\)
\(410\) 5.35484 1.63322i 0.264457 0.0806590i
\(411\) 4.20298 18.7719i 0.207318 0.925948i
\(412\) −4.47035 6.64675i −0.220238 0.327462i
\(413\) 0.239132 + 0.239132i 0.0117669 + 0.0117669i
\(414\) −31.7636 13.6657i −1.56110 0.671632i
\(415\) 25.7652i 1.26476i
\(416\) 1.04864 11.5409i 0.0514137 0.565840i
\(417\) −20.0076 + 0.831479i −0.979775 + 0.0407177i
\(418\) 22.3856 42.0334i 1.09492 2.05592i
\(419\) −7.80143 2.09039i −0.381125 0.102122i 0.0631698 0.998003i \(-0.479879\pi\)
−0.444295 + 0.895881i \(0.646546\pi\)
\(420\) 1.80621 4.11526i 0.0881342 0.200804i
\(421\) 15.3973 4.12570i 0.750419 0.201074i 0.136715 0.990610i \(-0.456345\pi\)
0.613704 + 0.789536i \(0.289679\pi\)
\(422\) 29.5047 + 6.83251i 1.43627 + 0.332601i
\(423\) −2.00367 24.0652i −0.0974220 1.17009i
\(424\) 10.1102 + 8.22075i 0.490994 + 0.399235i
\(425\) 1.44895 2.50965i 0.0702842 0.121736i
\(426\) −35.3938 + 12.4234i −1.71484 + 0.601918i
\(427\) 1.93776 + 0.519221i 0.0937747 + 0.0251268i
\(428\) 4.18028 + 3.64370i 0.202061 + 0.176125i
\(429\) −19.6135 + 6.13889i −0.946950 + 0.296388i
\(430\) −2.42071 + 0.0829105i −0.116737 + 0.00399830i
\(431\) −0.112162 −0.00540266 −0.00270133 0.999996i \(-0.500860\pi\)
−0.00270133 + 0.999996i \(0.500860\pi\)
\(432\) −10.3968 + 17.9974i −0.500215 + 0.865901i
\(433\) 20.7054 0.995038 0.497519 0.867453i \(-0.334244\pi\)
0.497519 + 0.867453i \(0.334244\pi\)
\(434\) −0.155650 + 0.00533109i −0.00747144 + 0.000255901i
\(435\) 15.4725 4.84277i 0.741849 0.232193i
\(436\) 20.0838 23.0414i 0.961841 1.10348i
\(437\) −45.7694 12.2639i −2.18945 0.586661i
\(438\) 21.5821 7.57543i 1.03123 0.361968i
\(439\) −19.9756 + 34.5988i −0.953384 + 1.65131i −0.215361 + 0.976534i \(0.569093\pi\)
−0.738023 + 0.674776i \(0.764240\pi\)
\(440\) −3.38148 32.8063i −0.161206 1.56398i
\(441\) 17.8680 + 8.42350i 0.850859 + 0.401119i
\(442\) 8.63358 + 1.99931i 0.410658 + 0.0950974i
\(443\) 4.52965 1.21372i 0.215210 0.0576654i −0.149603 0.988746i \(-0.547800\pi\)
0.364813 + 0.931081i \(0.381133\pi\)
\(444\) −11.9289 5.23565i −0.566119 0.248473i
\(445\) 7.52010 + 2.01501i 0.356487 + 0.0955204i
\(446\) 10.1154 18.9937i 0.478980 0.899377i
\(447\) −38.1267 + 1.58448i −1.80333 + 0.0749432i
\(448\) 1.61286 4.89686i 0.0762005 0.231355i
\(449\) 0.895625i 0.0422672i 0.999777 + 0.0211336i \(0.00672753\pi\)
−0.999777 + 0.0211336i \(0.993272\pi\)
\(450\) −0.470406 3.99167i −0.0221751 0.188169i
\(451\) −8.05379 8.05379i −0.379238 0.379238i
\(452\) 10.0261 6.74316i 0.471587 0.317171i
\(453\) 6.15448 27.4879i 0.289163 1.29149i
\(454\) −20.3894 + 6.21875i −0.956923 + 0.291860i
\(455\) −2.30167 + 1.32887i −0.107904 + 0.0622983i
\(456\) −10.5473 + 26.4568i −0.493924 + 1.23895i
\(457\) −28.9564 16.7180i −1.35453 0.782036i −0.365646 0.930754i \(-0.619152\pi\)
−0.988880 + 0.148719i \(0.952485\pi\)
\(458\) −14.8243 3.43291i −0.692693 0.160409i
\(459\) −12.5489 9.75525i −0.585731 0.455336i
\(460\) −31.0413 + 10.6419i −1.44731 + 0.496182i
\(461\) −4.83893 + 1.29659i −0.225371 + 0.0603881i −0.369738 0.929136i \(-0.620552\pi\)
0.144366 + 0.989524i \(0.453886\pi\)
\(462\) −9.11713 + 0.692143i −0.424167 + 0.0322014i
\(463\) 16.0584 9.27134i 0.746299 0.430876i −0.0780562 0.996949i \(-0.524871\pi\)
0.824355 + 0.566073i \(0.191538\pi\)
\(464\) 17.1397 7.22125i 0.795689 0.335238i
\(465\) 0.503194 0.319087i 0.0233351 0.0147973i
\(466\) −0.0995858 2.90757i −0.00461322 0.134691i
\(467\) 13.6565 13.6565i 0.631948 0.631948i −0.316608 0.948556i \(-0.602544\pi\)
0.948556 + 0.316608i \(0.102544\pi\)
\(468\) 11.2563 4.93712i 0.520322 0.228219i
\(469\) 1.02759 + 1.02759i 0.0474497 + 0.0474497i
\(470\) −16.7498 15.6404i −0.772610 0.721438i
\(471\) 41.1777 1.71127i 1.89737 0.0788512i
\(472\) −1.46550 0.235131i −0.0674552 0.0108228i
\(473\) 2.46389 + 4.26758i 0.113290 + 0.196224i
\(474\) −4.93999 + 26.2481i −0.226901 + 1.20561i
\(475\) −1.42551 5.32008i −0.0654069 0.244102i
\(476\) 3.54133 + 1.73310i 0.162317 + 0.0794363i
\(477\) −2.45712 + 13.6009i −0.112504 + 0.622741i
\(478\) −9.78564 + 6.10564i −0.447585 + 0.279265i
\(479\) −1.37861 + 2.38783i −0.0629904 + 0.109103i −0.895801 0.444456i \(-0.853397\pi\)
0.832810 + 0.553558i \(0.186730\pi\)
\(480\) 4.16421 + 19.2799i 0.190069 + 0.880001i
\(481\) 3.85198 + 6.67182i 0.175635 + 0.304209i
\(482\) 14.5481 + 7.74784i 0.662646 + 0.352905i
\(483\) 2.71746 + 8.68219i 0.123649 + 0.395053i
\(484\) −37.4213 + 25.1681i −1.70097 + 1.14401i
\(485\) 20.8696 20.8696i 0.947639 0.947639i
\(486\) −22.0410 0.438473i −0.999802 0.0198895i
\(487\) 17.4202 0.789383 0.394692 0.918814i \(-0.370851\pi\)
0.394692 + 0.918814i \(0.370851\pi\)
\(488\) −8.22610 + 3.13876i −0.372378 + 0.142085i
\(489\) 24.7828 + 12.9673i 1.12071 + 0.586400i
\(490\) 17.9310 5.46893i 0.810039 0.247061i
\(491\) −4.32873 + 16.1550i −0.195353 + 0.729066i 0.796822 + 0.604213i \(0.206513\pi\)
−0.992175 + 0.124853i \(0.960154\pi\)
\(492\) 5.31643 + 4.25881i 0.239683 + 0.192002i
\(493\) 3.68120 + 13.7384i 0.165793 + 0.618747i
\(494\) 14.2899 8.91601i 0.642932 0.401150i
\(495\) 28.7385 19.9436i 1.29170 0.896400i
\(496\) 0.539753 0.419379i 0.0242356 0.0188307i
\(497\) 8.54681 + 4.93450i 0.383377 + 0.221343i
\(498\) 25.8855 17.6853i 1.15996 0.792499i
\(499\) −8.60246 + 32.1048i −0.385099 + 1.43721i 0.452911 + 0.891556i \(0.350385\pi\)
−0.838011 + 0.545654i \(0.816281\pi\)
\(500\) −18.0508 15.7338i −0.807257 0.703638i
\(501\) −0.578590 + 0.628765i −0.0258495 + 0.0280912i
\(502\) 0.0899265 0.0963051i 0.00401362 0.00429831i
\(503\) 5.04620i 0.224999i 0.993652 + 0.112499i \(0.0358857\pi\)
−0.993652 + 0.112499i \(0.964114\pi\)
\(504\) 5.37428 1.01008i 0.239389 0.0449926i
\(505\) 4.91221i 0.218590i
\(506\) 48.7956 + 45.5637i 2.16923 + 2.02555i
\(507\) 14.8795 + 3.33148i 0.660821 + 0.147956i
\(508\) −0.808028 11.7820i −0.0358505 0.522743i
\(509\) −10.6205 + 39.6362i −0.470745 + 1.75684i 0.166360 + 0.986065i \(0.446799\pi\)
−0.637105 + 0.770777i \(0.719868\pi\)
\(510\) −15.0406 + 1.14183i −0.666009 + 0.0505613i
\(511\) −5.21158 3.00891i −0.230547 0.133106i
\(512\) 6.86247 + 21.5617i 0.303281 + 0.952901i
\(513\) −29.9752 + 3.75445i −1.32344 + 0.165763i
\(514\) 12.7805 + 20.4835i 0.563722 + 0.903489i
\(515\) −2.08679 7.78801i −0.0919549 0.343181i
\(516\) −1.74488 2.37511i −0.0768142 0.104558i
\(517\) −12.0671 + 45.0351i −0.530711 + 1.98064i
\(518\) 0.999892 + 3.27835i 0.0439327 + 0.144042i
\(519\) −30.0074 + 19.0284i −1.31718 + 0.835254i
\(520\) 4.76576 10.6465i 0.208992 0.466879i
\(521\) −10.9553 −0.479963 −0.239981 0.970778i \(-0.577141\pi\)
−0.239981 + 0.970778i \(0.577141\pi\)
\(522\) 15.4858 + 12.2207i 0.677794 + 0.534884i
\(523\) 8.18896 8.18896i 0.358078 0.358078i −0.505026 0.863104i \(-0.668517\pi\)
0.863104 + 0.505026i \(0.168517\pi\)
\(524\) 3.16786 + 0.620173i 0.138389 + 0.0270924i
\(525\) −0.716049 + 0.778145i −0.0312509 + 0.0339610i
\(526\) 4.91090 9.22115i 0.214125 0.402061i
\(527\) 0.261358 + 0.452685i 0.0113849 + 0.0197193i
\(528\) 30.6385 25.9157i 1.33337 1.12783i
\(529\) 21.7133 37.6085i 0.944056 1.63515i
\(530\) 6.94301 + 11.1277i 0.301585 + 0.483357i
\(531\) −0.532220 1.48159i −0.0230964 0.0642953i
\(532\) 7.08847 2.43014i 0.307324 0.105360i
\(533\) −1.04262 3.89110i −0.0451607 0.168542i
\(534\) 3.13741 + 8.93834i 0.135769 + 0.386800i
\(535\) 2.79088 + 4.83394i 0.120660 + 0.208989i
\(536\) −6.29750 1.01040i −0.272011 0.0436424i
\(537\) −8.51100 + 16.2660i −0.367277 + 0.701931i
\(538\) 10.6069 11.3593i 0.457296 0.489732i
\(539\) −26.9686 26.9686i −1.16162 1.16162i
\(540\) −15.7742 + 13.7426i −0.678815 + 0.591387i
\(541\) −16.3651 + 16.3651i −0.703590 + 0.703590i −0.965179 0.261589i \(-0.915753\pi\)
0.261589 + 0.965179i \(0.415753\pi\)
\(542\) −21.2687 + 0.728463i −0.913568 + 0.0312902i
\(543\) −1.90877 0.998740i −0.0819131 0.0428600i
\(544\) −17.0510 + 2.94773i −0.731054 + 0.126383i
\(545\) 26.6444 15.3831i 1.14132 0.658941i
\(546\) −2.91495 1.40028i −0.124748 0.0599264i
\(547\) 23.6196 6.32886i 1.00990 0.270603i 0.284314 0.958731i \(-0.408234\pi\)
0.725589 + 0.688129i \(0.241568\pi\)
\(548\) 9.76406 19.9514i 0.417100 0.852284i
\(549\) −7.12857 6.03276i −0.304240 0.257472i
\(550\) −1.75070 + 7.56003i −0.0746502 + 0.322361i
\(551\) 23.4108 + 13.5162i 0.997332 + 0.575810i
\(552\) −31.9985 23.8817i −1.36195 1.01647i
\(553\) 6.08559 3.51352i 0.258786 0.149410i
\(554\) 5.77925 + 18.9485i 0.245537 + 0.805043i
\(555\) −9.64909 8.87910i −0.409581 0.376897i
\(556\) −22.6919 4.44241i −0.962353 0.188400i
\(557\) −1.55709 1.55709i −0.0659760 0.0659760i 0.673349 0.739325i \(-0.264855\pi\)
−0.739325 + 0.673349i \(0.764855\pi\)
\(558\) 0.665972 + 0.286522i 0.0281928 + 0.0121294i
\(559\) 1.74287i 0.0737154i
\(560\) 3.13417 4.13610i 0.132443 0.174782i
\(561\) 16.4342 + 25.9165i 0.693854 + 1.09419i
\(562\) 19.2852 + 10.2707i 0.813497 + 0.433243i
\(563\) −29.3036 7.85187i −1.23500 0.330917i −0.418475 0.908228i \(-0.637435\pi\)
−0.816524 + 0.577311i \(0.804102\pi\)
\(564\) 4.21634 27.5637i 0.177540 1.16064i
\(565\) 11.7476 3.14775i 0.494224 0.132427i
\(566\) −2.10947 + 9.10927i −0.0886675 + 0.382891i
\(567\) 3.69079 + 4.47427i 0.154999 + 0.187902i
\(568\) −43.0855 + 4.44100i −1.80783 + 0.186340i
\(569\) 11.5050 19.9273i 0.482316 0.835395i −0.517478 0.855696i \(-0.673129\pi\)
0.999794 + 0.0203012i \(0.00646252\pi\)
\(570\) −18.6790 + 21.7481i −0.782377 + 0.910927i
\(571\) −14.1061 3.77973i −0.590324 0.158177i −0.0487226 0.998812i \(-0.515515\pi\)
−0.541601 + 0.840636i \(0.682182\pi\)
\(572\) −23.6756 + 1.62370i −0.989925 + 0.0678905i
\(573\) 3.00898 13.4391i 0.125702 0.561425i
\(574\) −0.0613475 1.79114i −0.00256059 0.0747608i
\(575\) 7.72120 0.321996
\(576\) −16.5116 + 17.4174i −0.687983 + 0.725727i
\(577\) −18.7394 −0.780130 −0.390065 0.920787i \(-0.627548\pi\)
−0.390065 + 0.920787i \(0.627548\pi\)
\(578\) 0.369991 + 10.8025i 0.0153896 + 0.449324i
\(579\) 7.53111 + 6.93013i 0.312982 + 0.288006i
\(580\) 18.6769 1.28089i 0.775515 0.0531860i
\(581\) −7.96709 2.13478i −0.330531 0.0885654i
\(582\) 35.2921 + 6.64211i 1.46290 + 0.275324i
\(583\) 13.3422 23.1094i 0.552578 0.957093i
\(584\) 26.2722 2.70798i 1.08715 0.112057i
\(585\) 12.3294 1.02655i 0.509757 0.0424425i
\(586\) −5.15917 + 22.2788i −0.213123 + 0.920328i
\(587\) −13.9200 + 3.72984i −0.574538 + 0.153947i −0.534377 0.845246i \(-0.679454\pi\)
−0.0401610 + 0.999193i \(0.512787\pi\)
\(588\) 17.8024 + 14.2608i 0.734157 + 0.588107i
\(589\) 0.959624 + 0.257131i 0.0395406 + 0.0105949i
\(590\) −1.31864 0.702264i −0.0542874 0.0289117i
\(591\) 13.2515 25.3260i 0.545095 1.04177i
\(592\) −11.9893 9.08500i −0.492756 0.373391i
\(593\) 11.6038i 0.476512i 0.971202 + 0.238256i \(0.0765758\pi\)
−0.971202 + 0.238256i \(0.923424\pi\)
\(594\) 39.7630 + 15.1833i 1.63150 + 0.622980i
\(595\) 2.80617 + 2.80617i 0.115042 + 0.115042i
\(596\) −43.2421 8.46551i −1.77126 0.346761i
\(597\) −1.04708 + 0.327728i −0.0428541 + 0.0134130i
\(598\) 6.88843 + 22.5851i 0.281689 + 0.923573i
\(599\) −2.74819 + 1.58667i −0.112288 + 0.0648294i −0.555092 0.831789i \(-0.687317\pi\)
0.442804 + 0.896618i \(0.353984\pi\)
\(600\) 0.544321 4.60905i 0.0222218 0.188164i
\(601\) 29.2389 + 16.8811i 1.19268 + 0.688593i 0.958913 0.283700i \(-0.0915620\pi\)
0.233765 + 0.972293i \(0.424895\pi\)
\(602\) −0.174931 + 0.755400i −0.00712964 + 0.0307878i
\(603\) −2.28704 6.36662i −0.0931354 0.259269i
\(604\) 14.2977 29.2152i 0.581763 1.18875i
\(605\) −43.8466 + 11.7487i −1.78262 + 0.477651i
\(606\) −4.93515 + 3.37176i −0.200477 + 0.136968i
\(607\) 26.7618 15.4509i 1.08623 0.627133i 0.153657 0.988124i \(-0.450895\pi\)
0.932569 + 0.360991i \(0.117562\pi\)
\(608\) −18.9538 + 26.8769i −0.768677 + 1.09000i
\(609\) −0.215506 5.18564i −0.00873273 0.210133i
\(610\) −8.85713 + 0.303361i −0.358615 + 0.0122827i
\(611\) −11.6602 + 11.6602i −0.471720 + 0.471720i
\(612\) −11.4711 14.3271i −0.463692 0.579139i
\(613\) −27.1318 27.1318i −1.09584 1.09584i −0.994891 0.100951i \(-0.967811\pi\)
−0.100951 0.994891i \(-0.532189\pi\)
\(614\) 10.5924 11.3437i 0.427473 0.457794i
\(615\) 3.67189 + 5.79049i 0.148065 + 0.233495i
\(616\) −10.4245 1.67255i −0.420016 0.0673890i
\(617\) 4.23780 + 7.34009i 0.170607 + 0.295501i 0.938632 0.344919i \(-0.112094\pi\)
−0.768025 + 0.640420i \(0.778760\pi\)
\(618\) 6.39201 7.44226i 0.257124 0.299372i
\(619\) −6.55190 24.4520i −0.263343 0.982810i −0.963257 0.268582i \(-0.913445\pi\)
0.699914 0.714228i \(-0.253222\pi\)
\(620\) 0.650827 0.223124i 0.0261379 0.00896086i
\(621\) 5.79205 41.9520i 0.232427 1.68348i
\(622\) −3.26364 5.23071i −0.130860 0.209732i
\(623\) 1.24616 2.15841i 0.0499262 0.0864748i
\(624\) 13.9674 2.51976i 0.559145 0.100871i
\(625\) −9.68286 16.7712i −0.387315 0.670848i
\(626\) −1.69456 + 3.18186i −0.0677281 + 0.127173i
\(627\) 56.9165 + 12.7435i 2.27302 + 0.508925i
\(628\) 46.7024 + 9.14294i 1.86363 + 0.364843i
\(629\) 8.13423 8.13423i 0.324333 0.324333i
\(630\) 5.44688 + 0.792563i 0.217009 + 0.0315765i
\(631\) 32.2960 1.28568 0.642842 0.765999i \(-0.277755\pi\)
0.642842 + 0.765999i \(0.277755\pi\)
\(632\) −12.6006 + 28.1492i −0.501226 + 1.11971i
\(633\) 1.54015 + 37.0600i 0.0612153 + 1.47300i
\(634\) −7.83297 25.6820i −0.311087 1.01996i
\(635\) 3.07662 11.4821i 0.122092 0.455654i
\(636\) −6.41398 + 14.6135i −0.254331 + 0.579465i
\(637\) −3.49126 13.0295i −0.138329 0.516249i
\(638\) −20.1614 32.3132i −0.798199 1.27929i
\(639\) −26.1926 37.7432i −1.03616 1.49310i
\(640\) −0.504205 + 22.7702i −0.0199305 + 0.900073i
\(641\) 27.0376 + 15.6102i 1.06792 + 0.616564i 0.927613 0.373544i \(-0.121857\pi\)
0.140308 + 0.990108i \(0.455191\pi\)
\(642\) −2.94085 + 6.12195i −0.116066 + 0.241614i
\(643\) −4.88530 + 18.2322i −0.192657 + 0.719007i 0.800204 + 0.599728i \(0.204725\pi\)
−0.992861 + 0.119278i \(0.961942\pi\)
\(644\) 0.718755 + 10.4803i 0.0283229 + 0.412982i
\(645\) −0.886101 2.83106i −0.0348902 0.111473i
\(646\) −18.3823 17.1648i −0.723242 0.675340i
\(647\) 25.7862i 1.01376i −0.862017 0.506879i \(-0.830799\pi\)
0.862017 0.506879i \(-0.169201\pi\)
\(648\) −24.6343 6.41497i −0.967726 0.252004i
\(649\) 3.03948i 0.119310i
\(650\) −1.87316 + 2.00602i −0.0734713 + 0.0786827i
\(651\) −0.0569757 0.182035i −0.00223305 0.00713452i
\(652\) 24.3467 + 21.2215i 0.953489 + 0.831099i
\(653\) −2.62920 + 9.81233i −0.102889 + 0.383986i −0.998097 0.0616618i \(-0.980360\pi\)
0.895208 + 0.445648i \(0.147027\pi\)
\(654\) 33.7438 + 16.2098i 1.31949 + 0.633853i
\(655\) 2.81386 + 1.62458i 0.109947 + 0.0634777i
\(656\) 4.82599 + 6.21120i 0.188423 + 0.242507i
\(657\) 15.9714 + 23.0146i 0.623105 + 0.897885i
\(658\) −6.22412 + 3.88347i −0.242641 + 0.151393i
\(659\) 2.84300 + 10.6102i 0.110748 + 0.413316i 0.998934 0.0461683i \(-0.0147010\pi\)
−0.888186 + 0.459484i \(0.848034\pi\)
\(660\) 37.6323 14.6745i 1.46484 0.571205i
\(661\) 5.96571 22.2643i 0.232039 0.865982i −0.747422 0.664350i \(-0.768709\pi\)
0.979461 0.201633i \(-0.0646247\pi\)
\(662\) −29.1755 + 8.89848i −1.13394 + 0.345849i
\(663\) 0.450673 + 10.8444i 0.0175027 + 0.421161i
\(664\) 33.8216 12.9050i 1.31253 0.500813i
\(665\) 7.54261 0.292490
\(666\) 2.29740 15.7888i 0.0890223 0.611804i
\(667\) −26.7966 + 26.7966i −1.03757 + 1.03757i
\(668\) −0.818710 + 0.550633i −0.0316768 + 0.0213046i
\(669\) 25.7190 + 5.75842i 0.994352 + 0.222633i
\(670\) −5.66639 3.01774i −0.218912 0.116586i
\(671\) 9.01513 + 15.6147i 0.348025 + 0.602797i
\(672\) 6.30673 + 0.309780i 0.243287 + 0.0119500i
\(673\) −0.408559 + 0.707645i −0.0157488 + 0.0272777i −0.873792 0.486299i \(-0.838347\pi\)
0.858044 + 0.513577i \(0.171680\pi\)
\(674\) −19.6151 + 12.2386i −0.755545 + 0.471414i
\(675\) 4.55967 1.85513i 0.175502 0.0714039i
\(676\) 15.8145 + 7.73946i 0.608249 + 0.297672i
\(677\) 8.56517 + 31.9657i 0.329186 + 1.22854i 0.910036 + 0.414529i \(0.136054\pi\)
−0.580850 + 0.814011i \(0.697280\pi\)
\(678\) 11.2260 + 9.64181i 0.431133 + 0.370292i
\(679\) −4.72413 8.18243i −0.181295 0.314013i
\(680\) −17.1974 2.75922i −0.659491 0.105811i
\(681\) −13.9813 22.0483i −0.535765 0.844891i
\(682\) −1.02307 0.955312i −0.0391755 0.0365808i
\(683\) 21.1555 + 21.1555i 0.809494 + 0.809494i 0.984557 0.175063i \(-0.0560130\pi\)
−0.175063 + 0.984557i \(0.556013\pi\)
\(684\) −34.6710 3.83827i −1.32568 0.146760i
\(685\) 15.8097 15.8097i 0.604056 0.604056i
\(686\) −0.423808 12.3738i −0.0161810 0.472432i
\(687\) −0.773828 18.6203i −0.0295234 0.710410i
\(688\) −1.32130 3.13611i −0.0503741 0.119563i
\(689\) 8.17337 4.71890i 0.311381 0.179776i
\(690\) −22.6720 33.1843i −0.863107 1.26331i
\(691\) −24.5275 + 6.57213i −0.933071 + 0.250016i −0.693164 0.720780i \(-0.743784\pi\)
−0.239908 + 0.970796i \(0.577117\pi\)
\(692\) −38.8114 + 13.3057i −1.47539 + 0.505808i
\(693\) −3.78583 10.5389i −0.143812 0.400341i
\(694\) 11.1497 + 2.58198i 0.423238 + 0.0980108i
\(695\) −20.1562 11.6372i −0.764568 0.441423i
\(696\) 14.1068 + 17.8849i 0.534716 + 0.677926i
\(697\) −5.20926 + 3.00757i −0.197315 + 0.113920i
\(698\) −22.5353 + 6.87323i −0.852973 + 0.260156i
\(699\) 3.40045 1.06432i 0.128617 0.0402561i
\(700\) −1.01322 + 0.681450i −0.0382959 + 0.0257564i
\(701\) −15.7130 15.7130i −0.593472 0.593472i 0.345096 0.938568i \(-0.387847\pi\)
−0.938568 + 0.345096i \(0.887847\pi\)
\(702\) 9.49428 + 11.6823i 0.358338 + 0.440922i
\(703\) 21.8637i 0.824605i
\(704\) 41.3708 20.8706i 1.55922 0.786589i
\(705\) 13.0122 24.8686i 0.490068 0.936607i
\(706\) 8.67991 16.2982i 0.326673 0.613391i
\(707\) 1.51895 + 0.407001i 0.0571260 + 0.0153069i
\(708\) −0.199573 1.80683i −0.00750040 0.0679049i
\(709\) −4.97496 + 1.33304i −0.186838 + 0.0500632i −0.351025 0.936366i \(-0.614167\pi\)
0.164187 + 0.986429i \(0.447500\pi\)
\(710\) −42.4739 9.83583i −1.59402 0.369132i
\(711\) −32.5988 + 2.71418i −1.22255 + 0.101790i
\(712\) 1.12153 + 10.8808i 0.0420311 + 0.407775i
\(713\) −0.696366 + 1.20614i −0.0260791 + 0.0451704i
\(714\) −0.893113 + 4.74545i −0.0334239 + 0.177594i
\(715\) −23.0729 6.18236i −0.862877 0.231207i
\(716\) −13.9286 + 15.9798i −0.520538 + 0.597193i
\(717\) −10.3950 9.56552i −0.388210 0.357231i
\(718\) −29.8805 + 1.02342i −1.11513 + 0.0381938i
\(719\) −21.0741 −0.785932 −0.392966 0.919553i \(-0.628551\pi\)
−0.392966 + 0.919553i \(0.628551\pi\)
\(720\) −21.4072 + 11.1943i −0.797799 + 0.417187i
\(721\) −2.58110 −0.0961253
\(722\) −20.9186 + 0.716472i −0.778509 + 0.0266643i
\(723\) −4.41061 + 19.6992i −0.164032 + 0.732622i
\(724\) −1.87518 1.63448i −0.0696906 0.0607451i
\(725\) −4.25483 1.14008i −0.158020 0.0423414i
\(726\) −41.9000 35.9871i −1.55505 1.33561i
\(727\) 6.94402 12.0274i 0.257539 0.446071i −0.708043 0.706169i \(-0.750422\pi\)
0.965582 + 0.260098i \(0.0837550\pi\)
\(728\) −2.89723 2.35578i −0.107378 0.0873110i
\(729\) −6.65913 26.1659i −0.246634 0.969109i
\(730\) 25.8993 + 5.99758i 0.958575 + 0.221981i
\(731\) 2.51377 0.673562i 0.0929751 0.0249126i
\(732\) −6.38435 8.69028i −0.235972 0.321202i
\(733\) −33.3201 8.92809i −1.23071 0.329767i −0.415851 0.909433i \(-0.636516\pi\)
−0.814854 + 0.579666i \(0.803183\pi\)
\(734\) −21.3038 + 40.0020i −0.786338 + 1.47650i
\(735\) 12.2955 + 19.3898i 0.453527 + 0.715203i
\(736\) −29.5172 35.4173i −1.08802 1.30550i
\(737\) 13.0611i 0.481113i
\(738\) −3.29714 + 7.66366i −0.121370 + 0.282103i
\(739\) −14.5953 14.5953i −0.536895 0.536895i 0.385721 0.922616i \(-0.373953\pi\)
−0.922616 + 0.385721i \(0.873953\pi\)
\(740\) −8.45007 12.5640i −0.310631 0.461862i
\(741\) 15.1798 + 13.9684i 0.557644 + 0.513144i
\(742\) 4.01617 1.22493i 0.147438 0.0449684i
\(743\) 45.2494 26.1248i 1.66004 0.958424i 0.687347 0.726330i \(-0.258775\pi\)
0.972693 0.232095i \(-0.0745580\pi\)
\(744\) 0.670897 + 0.500715i 0.0245963 + 0.0183571i
\(745\) −38.4099 22.1760i −1.40723 0.812464i
\(746\) −0.987883 0.228768i −0.0361690 0.00837577i
\(747\) 29.3091 + 24.8037i 1.07237 + 0.907520i
\(748\) 11.4917 + 33.5202i 0.420180 + 1.22562i
\(749\) 1.72599 0.462476i 0.0630661 0.0168985i
\(750\) 12.6989 26.4351i 0.463697 0.965275i
\(751\) 12.4720 7.20072i 0.455110 0.262758i −0.254876 0.966974i \(-0.582035\pi\)
0.709986 + 0.704216i \(0.248701\pi\)
\(752\) 12.1415 29.8211i 0.442754 1.08746i
\(753\) 0.142985 + 0.0748154i 0.00521068 + 0.00272642i
\(754\) −0.461108 13.4628i −0.0167926 0.490286i
\(755\) 23.1503 23.1503i 0.842526 0.842526i
\(756\) 2.94250 + 6.01634i 0.107018 + 0.218812i
\(757\) −18.7302 18.7302i −0.680761 0.680761i 0.279411 0.960172i \(-0.409861\pi\)
−0.960172 + 0.279411i \(0.909861\pi\)
\(758\) −5.33562 4.98223i −0.193799 0.180963i
\(759\) −37.9072 + 72.4474i −1.37594 + 2.62967i
\(760\) −26.8204 + 19.4040i −0.972877 + 0.703856i
\(761\) −22.9842 39.8099i −0.833178 1.44311i −0.895505 0.445050i \(-0.853186\pi\)
0.0623277 0.998056i \(-0.480148\pi\)
\(762\) 13.6476 4.79037i 0.494399 0.173537i
\(763\) −2.54914 9.51352i −0.0922851 0.344413i
\(764\) 6.99024 14.2835i 0.252898 0.516761i
\(765\) −6.24552 17.3862i −0.225807 0.628598i
\(766\) 23.3638 14.5776i 0.844168 0.526709i
\(767\) −0.537503 + 0.930983i −0.0194081 + 0.0336159i
\(768\) −23.2227 + 15.1230i −0.837977 + 0.545705i
\(769\) 8.08642 + 14.0061i 0.291604 + 0.505072i 0.974189 0.225733i \(-0.0724778\pi\)
−0.682585 + 0.730806i \(0.739144\pi\)
\(770\) −9.37982 4.99540i −0.338025 0.180022i
\(771\) −20.0228 + 21.7591i −0.721102 + 0.783636i
\(772\) 6.59527 + 9.80619i 0.237369 + 0.352933i
\(773\) −3.33435