Properties

Label 403.2.bl.b.16.11
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.11
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18678 - 0.528387i) q^{2} +(0.262692 - 2.49935i) q^{3} +(-0.209017 - 0.232137i) q^{4} -0.0704053 q^{5} +(-1.63238 + 2.82736i) q^{6} +(-3.21641 - 3.57218i) q^{7} +(0.928279 + 2.85695i) q^{8} +(-3.24328 - 0.689381i) q^{9} +O(q^{10})\) \(q+(-1.18678 - 0.528387i) q^{2} +(0.262692 - 2.49935i) q^{3} +(-0.209017 - 0.232137i) q^{4} -0.0704053 q^{5} +(-1.63238 + 2.82736i) q^{6} +(-3.21641 - 3.57218i) q^{7} +(0.928279 + 2.85695i) q^{8} +(-3.24328 - 0.689381i) q^{9} +(0.0835553 + 0.0372012i) q^{10} +(-1.13650 + 0.241571i) q^{11} +(-0.635098 + 0.461425i) q^{12} +(-1.16983 + 3.41050i) q^{13} +(1.92966 + 5.93889i) q^{14} +(-0.0184949 + 0.175967i) q^{15} +(0.342611 - 3.25973i) q^{16} +(3.33824 + 0.709564i) q^{17} +(3.48479 + 2.53185i) q^{18} +(-0.450778 - 4.28887i) q^{19} +(0.0147159 + 0.0163437i) q^{20} +(-9.77304 + 7.10053i) q^{21} +(1.47642 + 0.313822i) q^{22} +(3.06679 - 3.40602i) q^{23} +(7.38435 - 1.56959i) q^{24} -4.99504 q^{25} +(3.19039 - 3.42937i) q^{26} +(-0.245201 + 0.754650i) q^{27} +(-0.156952 + 1.49329i) q^{28} +(1.26800 + 0.564551i) q^{29} +(0.114928 - 0.199061i) q^{30} +(1.97723 + 5.20486i) q^{31} +(0.874974 - 1.51550i) q^{32} +(0.305220 + 2.90397i) q^{33} +(-3.58681 - 2.60597i) q^{34} +(0.226452 + 0.251501i) q^{35} +(0.517870 + 0.896978i) q^{36} +(1.88949 + 3.27269i) q^{37} +(-1.73121 + 5.32811i) q^{38} +(8.21671 + 3.81972i) q^{39} +(-0.0653557 - 0.201144i) q^{40} +(-10.9559 - 4.87790i) q^{41} +(15.3502 - 3.26279i) q^{42} +(0.765593 + 7.28413i) q^{43} +(0.293626 + 0.213332i) q^{44} +(0.228344 + 0.0485361i) q^{45} +(-5.43929 + 2.42173i) q^{46} +(-1.44472 - 1.04965i) q^{47} +(-8.05718 - 1.71261i) q^{48} +(-1.68351 + 16.0175i) q^{49} +(5.92800 + 2.63931i) q^{50} +(2.65037 - 8.15701i) q^{51} +(1.03622 - 0.441291i) q^{52} +(-1.40156 - 4.31357i) q^{53} +(0.689745 - 0.766040i) q^{54} +(0.0800159 - 0.0170079i) q^{55} +(7.21982 - 12.5051i) q^{56} -10.8378 q^{57} +(-1.20653 - 1.33999i) q^{58} +(-10.8950 + 4.85078i) q^{59} +(0.0447142 - 0.0324868i) q^{60} +(6.27189 - 10.8632i) q^{61} +(0.403654 - 7.22174i) q^{62} +(7.96912 + 13.8029i) q^{63} +(-7.14257 + 5.18938i) q^{64} +(0.0823623 - 0.240117i) q^{65} +(1.17219 - 3.60764i) q^{66} +(-1.94488 - 3.36863i) q^{67} +(-0.533032 - 0.923239i) q^{68} +(-7.70720 - 8.55971i) q^{69} +(-0.135858 - 0.418129i) q^{70} +(-10.2440 - 2.17742i) q^{71} +(-1.04114 - 9.90582i) q^{72} +(-3.04837 + 9.38192i) q^{73} +(-0.513154 - 4.88233i) q^{74} +(-1.31216 + 12.4843i) q^{75} +(-0.901385 + 1.00109i) q^{76} +(4.51839 + 3.28281i) q^{77} +(-7.73310 - 8.87475i) q^{78} +(-4.03268 - 12.4113i) q^{79} +(-0.0241216 + 0.229502i) q^{80} +(-7.26551 - 3.23481i) q^{81} +(10.4248 + 11.5779i) q^{82} +(9.09394 - 6.60714i) q^{83} +(3.69103 + 0.784552i) q^{84} +(-0.235030 - 0.0499571i) q^{85} +(2.94025 - 9.04915i) q^{86} +(1.74410 - 3.02088i) q^{87} +(-1.74515 - 3.02269i) q^{88} +(0.639240 - 0.135875i) q^{89} +(-0.245348 - 0.178255i) q^{90} +(15.9456 - 6.79070i) q^{91} -1.43167 q^{92} +(13.5281 - 3.57450i) q^{93} +(1.15994 + 2.00907i) q^{94} +(0.0317372 + 0.301959i) q^{95} +(-3.55791 - 2.58497i) q^{96} +(-2.18938 - 2.43155i) q^{97} +(10.4614 - 18.1197i) q^{98} +3.85254 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18678 0.528387i −0.839177 0.373626i −0.0582914 0.998300i \(-0.518565\pi\)
−0.780886 + 0.624674i \(0.785232\pi\)
\(3\) 0.262692 2.49935i 0.151665 1.44300i −0.608647 0.793441i \(-0.708288\pi\)
0.760313 0.649557i \(-0.225046\pi\)
\(4\) −0.209017 0.232137i −0.104509 0.116068i
\(5\) −0.0704053 −0.0314862 −0.0157431 0.999876i \(-0.505011\pi\)
−0.0157431 + 0.999876i \(0.505011\pi\)
\(6\) −1.63238 + 2.82736i −0.666415 + 1.15427i
\(7\) −3.21641 3.57218i −1.21569 1.35016i −0.918541 0.395326i \(-0.870632\pi\)
−0.297147 0.954832i \(-0.596035\pi\)
\(8\) 0.928279 + 2.85695i 0.328196 + 1.01008i
\(9\) −3.24328 0.689381i −1.08109 0.229794i
\(10\) 0.0835553 + 0.0372012i 0.0264225 + 0.0117641i
\(11\) −1.13650 + 0.241571i −0.342669 + 0.0728365i −0.376032 0.926607i \(-0.622712\pi\)
0.0333630 + 0.999443i \(0.489378\pi\)
\(12\) −0.635098 + 0.461425i −0.183337 + 0.133202i
\(13\) −1.16983 + 3.41050i −0.324453 + 0.945902i
\(14\) 1.92966 + 5.93889i 0.515724 + 1.58723i
\(15\) −0.0184949 + 0.175967i −0.00477536 + 0.0454345i
\(16\) 0.342611 3.25973i 0.0856528 0.814932i
\(17\) 3.33824 + 0.709564i 0.809641 + 0.172095i 0.594091 0.804398i \(-0.297512\pi\)
0.215551 + 0.976493i \(0.430845\pi\)
\(18\) 3.48479 + 2.53185i 0.821372 + 0.596762i
\(19\) −0.450778 4.28887i −0.103416 0.983934i −0.916024 0.401124i \(-0.868620\pi\)
0.812608 0.582810i \(-0.198047\pi\)
\(20\) 0.0147159 + 0.0163437i 0.00329058 + 0.00365456i
\(21\) −9.77304 + 7.10053i −2.13265 + 1.54946i
\(22\) 1.47642 + 0.313822i 0.314773 + 0.0669071i
\(23\) 3.06679 3.40602i 0.639471 0.710204i −0.333079 0.942899i \(-0.608088\pi\)
0.972550 + 0.232695i \(0.0747543\pi\)
\(24\) 7.38435 1.56959i 1.50732 0.320392i
\(25\) −4.99504 −0.999009
\(26\) 3.19039 3.42937i 0.625687 0.672555i
\(27\) −0.245201 + 0.754650i −0.0471889 + 0.145233i
\(28\) −0.156952 + 1.49329i −0.0296610 + 0.282206i
\(29\) 1.26800 + 0.564551i 0.235462 + 0.104835i 0.521076 0.853510i \(-0.325531\pi\)
−0.285614 + 0.958345i \(0.592197\pi\)
\(30\) 0.114928 0.199061i 0.0209829 0.0363434i
\(31\) 1.97723 + 5.20486i 0.355120 + 0.934821i
\(32\) 0.874974 1.51550i 0.154675 0.267905i
\(33\) 0.305220 + 2.90397i 0.0531320 + 0.505517i
\(34\) −3.58681 2.60597i −0.615133 0.446921i
\(35\) 0.226452 + 0.251501i 0.0382774 + 0.0425114i
\(36\) 0.517870 + 0.896978i 0.0863117 + 0.149496i
\(37\) 1.88949 + 3.27269i 0.310630 + 0.538027i 0.978499 0.206252i \(-0.0661266\pi\)
−0.667869 + 0.744279i \(0.732793\pi\)
\(38\) −1.73121 + 5.32811i −0.280839 + 0.864334i
\(39\) 8.21671 + 3.81972i 1.31573 + 0.611645i
\(40\) −0.0653557 0.201144i −0.0103337 0.0318037i
\(41\) −10.9559 4.87790i −1.71103 0.761800i −0.998168 0.0604951i \(-0.980732\pi\)
−0.712862 0.701305i \(-0.752601\pi\)
\(42\) 15.3502 3.26279i 2.36859 0.503460i
\(43\) 0.765593 + 7.28413i 0.116752 + 1.11082i 0.883357 + 0.468700i \(0.155278\pi\)
−0.766605 + 0.642119i \(0.778056\pi\)
\(44\) 0.293626 + 0.213332i 0.0442658 + 0.0321610i
\(45\) 0.228344 + 0.0485361i 0.0340395 + 0.00723533i
\(46\) −5.43929 + 2.42173i −0.801980 + 0.357064i
\(47\) −1.44472 1.04965i −0.210734 0.153107i 0.477412 0.878680i \(-0.341575\pi\)
−0.688146 + 0.725572i \(0.741575\pi\)
\(48\) −8.05718 1.71261i −1.16295 0.247194i
\(49\) −1.68351 + 16.0175i −0.240502 + 2.28822i
\(50\) 5.92800 + 2.63931i 0.838345 + 0.373255i
\(51\) 2.65037 8.15701i 0.371126 1.14221i
\(52\) 1.03622 0.441291i 0.143697 0.0611961i
\(53\) −1.40156 4.31357i −0.192520 0.592514i −0.999997 0.00261523i \(-0.999168\pi\)
0.807477 0.589899i \(-0.200832\pi\)
\(54\) 0.689745 0.766040i 0.0938625 0.104245i
\(55\) 0.0800159 0.0170079i 0.0107893 0.00229334i
\(56\) 7.21982 12.5051i 0.964789 1.67106i
\(57\) −10.8378 −1.43550
\(58\) −1.20653 1.33999i −0.158426 0.175950i
\(59\) −10.8950 + 4.85078i −1.41841 + 0.631518i −0.965587 0.260081i \(-0.916251\pi\)
−0.452826 + 0.891599i \(0.649584\pi\)
\(60\) 0.0447142 0.0324868i 0.00577258 0.00419403i
\(61\) 6.27189 10.8632i 0.803033 1.39089i −0.114578 0.993414i \(-0.536551\pi\)
0.917611 0.397480i \(-0.130115\pi\)
\(62\) 0.403654 7.22174i 0.0512641 0.917162i
\(63\) 7.96912 + 13.8029i 1.00401 + 1.73900i
\(64\) −7.14257 + 5.18938i −0.892821 + 0.648673i
\(65\) 0.0823623 0.240117i 0.0102158 0.0297829i
\(66\) 1.17219 3.60764i 0.144287 0.444070i
\(67\) −1.94488 3.36863i −0.237605 0.411544i 0.722421 0.691453i \(-0.243029\pi\)
−0.960027 + 0.279909i \(0.909696\pi\)
\(68\) −0.533032 0.923239i −0.0646396 0.111959i
\(69\) −7.70720 8.55971i −0.927838 1.03047i
\(70\) −0.135858 0.418129i −0.0162382 0.0499760i
\(71\) −10.2440 2.17742i −1.21574 0.258412i −0.444978 0.895542i \(-0.646788\pi\)
−0.770757 + 0.637129i \(0.780122\pi\)
\(72\) −1.04114 9.90582i −0.122700 1.16741i
\(73\) −3.04837 + 9.38192i −0.356785 + 1.09807i 0.598183 + 0.801360i \(0.295890\pi\)
−0.954967 + 0.296711i \(0.904110\pi\)
\(74\) −0.513154 4.88233i −0.0596529 0.567560i
\(75\) −1.31216 + 12.4843i −0.151515 + 1.44157i
\(76\) −0.901385 + 1.00109i −0.103396 + 0.114833i
\(77\) 4.51839 + 3.28281i 0.514919 + 0.374110i
\(78\) −7.73310 8.87475i −0.875601 1.00487i
\(79\) −4.03268 12.4113i −0.453712 1.39638i −0.872641 0.488363i \(-0.837594\pi\)
0.418929 0.908019i \(-0.362406\pi\)
\(80\) −0.0241216 + 0.229502i −0.00269688 + 0.0256591i
\(81\) −7.26551 3.23481i −0.807279 0.359424i
\(82\) 10.4248 + 11.5779i 1.15123 + 1.27857i
\(83\) 9.09394 6.60714i 0.998190 0.725228i 0.0364908 0.999334i \(-0.488382\pi\)
0.961699 + 0.274106i \(0.0883821\pi\)
\(84\) 3.69103 + 0.784552i 0.402724 + 0.0856017i
\(85\) −0.235030 0.0499571i −0.0254925 0.00541860i
\(86\) 2.94025 9.04915i 0.317055 0.975795i
\(87\) 1.74410 3.02088i 0.186987 0.323872i
\(88\) −1.74515 3.02269i −0.186033 0.322219i
\(89\) 0.639240 0.135875i 0.0677593 0.0144027i −0.173907 0.984762i \(-0.555639\pi\)
0.241667 + 0.970359i \(0.422306\pi\)
\(90\) −0.245348 0.178255i −0.0258619 0.0187898i
\(91\) 15.9456 6.79070i 1.67155 0.711859i
\(92\) −1.43167 −0.149262
\(93\) 13.5281 3.57450i 1.40280 0.370658i
\(94\) 1.15994 + 2.00907i 0.119638 + 0.207220i
\(95\) 0.0317372 + 0.301959i 0.00325617 + 0.0309804i
\(96\) −3.55791 2.58497i −0.363128 0.263828i
\(97\) −2.18938 2.43155i −0.222298 0.246887i 0.621672 0.783278i \(-0.286454\pi\)
−0.843969 + 0.536391i \(0.819787\pi\)
\(98\) 10.4614 18.1197i 1.05676 1.83036i
\(99\) 3.85254 0.387194
\(100\) 1.04405 + 1.15953i 0.104405 + 0.115953i
\(101\) 6.46732 7.18268i 0.643522 0.714704i −0.329825 0.944042i \(-0.606990\pi\)
0.973347 + 0.229338i \(0.0736563\pi\)
\(102\) −7.45545 + 8.28012i −0.738200 + 0.819854i
\(103\) 1.73776 1.26256i 0.171227 0.124404i −0.498871 0.866676i \(-0.666252\pi\)
0.670098 + 0.742273i \(0.266252\pi\)
\(104\) −10.8295 0.176254i −1.06192 0.0172831i
\(105\) 0.688074 0.499915i 0.0671492 0.0487867i
\(106\) −0.615890 + 5.85981i −0.0598206 + 0.569155i
\(107\) 4.61547 5.12600i 0.446195 0.495549i −0.477525 0.878618i \(-0.658466\pi\)
0.923720 + 0.383069i \(0.125133\pi\)
\(108\) 0.226433 0.100815i 0.0217886 0.00970089i
\(109\) −7.07559 5.14072i −0.677719 0.492392i 0.194881 0.980827i \(-0.437568\pi\)
−0.872600 + 0.488435i \(0.837568\pi\)
\(110\) −0.103948 0.0220948i −0.00991102 0.00210665i
\(111\) 8.67595 3.86278i 0.823484 0.366639i
\(112\) −12.7463 + 9.26074i −1.20441 + 0.875058i
\(113\) 6.42057 + 7.13077i 0.603997 + 0.670806i 0.965149 0.261700i \(-0.0842832\pi\)
−0.361152 + 0.932507i \(0.617617\pi\)
\(114\) 12.8620 + 5.72654i 1.20464 + 0.536340i
\(115\) −0.215919 + 0.239802i −0.0201345 + 0.0223616i
\(116\) −0.133981 0.412351i −0.0124398 0.0382858i
\(117\) 6.14522 10.2547i 0.568126 0.948052i
\(118\) 15.4931 1.42625
\(119\) −8.20243 14.2070i −0.751916 1.30236i
\(120\) −0.519898 + 0.110508i −0.0474599 + 0.0100879i
\(121\) −8.81572 + 3.92501i −0.801429 + 0.356819i
\(122\) −13.1833 + 9.57824i −1.19356 + 0.867173i
\(123\) −15.0696 + 26.1013i −1.35878 + 2.35347i
\(124\) 0.794966 1.54689i 0.0713901 0.138915i
\(125\) 0.703704 0.0629412
\(126\) −2.16428 20.5918i −0.192809 1.83446i
\(127\) 0.876633 8.34060i 0.0777886 0.740109i −0.884216 0.467077i \(-0.845307\pi\)
0.962005 0.273032i \(-0.0880264\pi\)
\(128\) 7.79521 1.65692i 0.689006 0.146453i
\(129\) 18.4067 1.62062
\(130\) −0.224620 + 0.241446i −0.0197005 + 0.0211762i
\(131\) 4.12366 12.6913i 0.360286 1.10885i −0.592594 0.805501i \(-0.701896\pi\)
0.952881 0.303346i \(-0.0981037\pi\)
\(132\) 0.610323 0.677833i 0.0531218 0.0589978i
\(133\) −13.8707 + 15.4050i −1.20275 + 1.33578i
\(134\) 0.528197 + 5.02546i 0.0456293 + 0.434134i
\(135\) 0.0172634 0.0531314i 0.00148580 0.00457282i
\(136\) 1.07163 + 10.1958i 0.0918912 + 0.874286i
\(137\) 2.84228 1.26547i 0.242833 0.108116i −0.281712 0.959499i \(-0.590902\pi\)
0.524545 + 0.851383i \(0.324236\pi\)
\(138\) 4.62388 + 14.2308i 0.393611 + 1.21141i
\(139\) −9.73015 + 4.33214i −0.825300 + 0.367447i −0.775528 0.631313i \(-0.782516\pi\)
−0.0497723 + 0.998761i \(0.515850\pi\)
\(140\) 0.0110502 0.105136i 0.000933914 0.00888560i
\(141\) −3.00296 + 3.33512i −0.252895 + 0.280868i
\(142\) 11.0068 + 7.99689i 0.923668 + 0.671084i
\(143\) 0.505639 4.15864i 0.0422836 0.347763i
\(144\) −3.35838 + 10.3360i −0.279865 + 0.861335i
\(145\) −0.0892741 0.0397474i −0.00741381 0.00330084i
\(146\) 8.57501 9.52352i 0.709673 0.788172i
\(147\) 39.5911 + 8.41535i 3.26542 + 0.694087i
\(148\) 0.364777 1.12267i 0.0299845 0.0922828i
\(149\) 4.78354 8.28533i 0.391883 0.678761i −0.600815 0.799388i \(-0.705157\pi\)
0.992698 + 0.120627i \(0.0384906\pi\)
\(150\) 8.15380 14.1228i 0.665755 1.15312i
\(151\) −0.0282987 + 0.0870944i −0.00230291 + 0.00708764i −0.952201 0.305471i \(-0.901186\pi\)
0.949898 + 0.312559i \(0.101186\pi\)
\(152\) 11.8346 5.26912i 0.959915 0.427382i
\(153\) −10.3377 4.60263i −0.835752 0.372101i
\(154\) −3.62773 6.28341i −0.292331 0.506332i
\(155\) −0.139207 0.366450i −0.0111814 0.0294340i
\(156\) −0.830734 2.70579i −0.0665119 0.216636i
\(157\) −10.6697 + 7.75201i −0.851537 + 0.618678i −0.925569 0.378578i \(-0.876413\pi\)
0.0740323 + 0.997256i \(0.476413\pi\)
\(158\) −1.77208 + 16.8603i −0.140979 + 1.34133i
\(159\) −11.1493 + 2.36985i −0.884195 + 0.187942i
\(160\) −0.0616029 + 0.106699i −0.00487013 + 0.00843532i
\(161\) −22.0310 −1.73628
\(162\) 6.91330 + 7.67800i 0.543160 + 0.603241i
\(163\) −17.0409 3.62216i −1.33475 0.283710i −0.515373 0.856966i \(-0.672347\pi\)
−0.819376 + 0.573256i \(0.805680\pi\)
\(164\) 1.15764 + 3.56284i 0.0903963 + 0.278211i
\(165\) −0.0214891 0.204455i −0.00167292 0.0159168i
\(166\) −14.2836 + 3.03607i −1.10862 + 0.235645i
\(167\) 14.6353 + 6.51607i 1.13252 + 0.504229i 0.885434 0.464766i \(-0.153861\pi\)
0.247082 + 0.968994i \(0.420528\pi\)
\(168\) −29.3580 21.3298i −2.26502 1.64563i
\(169\) −10.2630 7.97941i −0.789461 0.613801i
\(170\) 0.252531 + 0.183474i 0.0193682 + 0.0140718i
\(171\) −1.49466 + 14.2208i −0.114300 + 1.08749i
\(172\) 1.53089 1.70023i 0.116730 0.129641i
\(173\) −8.86551 + 3.94718i −0.674032 + 0.300099i −0.715064 0.699059i \(-0.753602\pi\)
0.0410313 + 0.999158i \(0.486936\pi\)
\(174\) −3.66605 + 2.66354i −0.277922 + 0.201923i
\(175\) 16.0661 + 17.8432i 1.21448 + 1.34882i
\(176\) 0.398078 + 3.78746i 0.0300062 + 0.285490i
\(177\) 9.26175 + 28.5047i 0.696156 + 2.14255i
\(178\) −0.830429 0.176513i −0.0622433 0.0132302i
\(179\) −6.00219 + 1.27580i −0.448625 + 0.0953581i −0.426683 0.904401i \(-0.640318\pi\)
−0.0219415 + 0.999759i \(0.506985\pi\)
\(180\) −0.0364608 0.0631520i −0.00271763 0.00470707i
\(181\) −2.43684 −0.181129 −0.0905646 0.995891i \(-0.528867\pi\)
−0.0905646 + 0.995891i \(0.528867\pi\)
\(182\) −22.5119 0.366389i −1.66870 0.0271585i
\(183\) −25.5034 18.5293i −1.88527 1.36973i
\(184\) 12.5777 + 5.59993i 0.927237 + 0.412833i
\(185\) −0.133030 0.230415i −0.00978057 0.0169404i
\(186\) −17.9436 2.90596i −1.31569 0.213076i
\(187\) −3.96533 −0.289973
\(188\) 0.0583084 + 0.554768i 0.00425258 + 0.0404606i
\(189\) 3.48441 1.55136i 0.253454 0.112845i
\(190\) 0.121886 0.375127i 0.00884256 0.0272146i
\(191\) 9.70552 16.8105i 0.702267 1.21636i −0.265402 0.964138i \(-0.585505\pi\)
0.967669 0.252224i \(-0.0811621\pi\)
\(192\) 11.0938 + 19.2150i 0.800623 + 1.38672i
\(193\) 17.3480 3.68743i 1.24874 0.265427i 0.464323 0.885666i \(-0.346298\pi\)
0.784413 + 0.620239i \(0.212964\pi\)
\(194\) 1.31350 + 4.04255i 0.0943040 + 0.290238i
\(195\) −0.578500 0.268929i −0.0414272 0.0192584i
\(196\) 4.07014 2.95713i 0.290725 0.211224i
\(197\) 14.8017 3.14620i 1.05458 0.224158i 0.352173 0.935935i \(-0.385443\pi\)
0.702405 + 0.711777i \(0.252110\pi\)
\(198\) −4.57210 2.03563i −0.324925 0.144666i
\(199\) 8.34261 3.71437i 0.591392 0.263305i −0.0891446 0.996019i \(-0.528413\pi\)
0.680537 + 0.732714i \(0.261747\pi\)
\(200\) −4.63679 14.2706i −0.327871 1.00908i
\(201\) −8.93029 + 3.97602i −0.629894 + 0.280447i
\(202\) −11.4705 + 5.10699i −0.807061 + 0.359327i
\(203\) −2.06173 6.34537i −0.144705 0.445357i
\(204\) −2.44752 + 1.08970i −0.171360 + 0.0762946i
\(205\) 0.771356 + 0.343430i 0.0538739 + 0.0239862i
\(206\) −2.72945 + 0.580163i −0.190170 + 0.0404219i
\(207\) −12.2945 + 8.93249i −0.854528 + 0.620851i
\(208\) 10.7165 + 4.98180i 0.743055 + 0.345426i
\(209\) 1.54838 + 4.76542i 0.107104 + 0.329631i
\(210\) −1.08074 + 0.229718i −0.0745780 + 0.0158520i
\(211\) 6.65385 + 11.5248i 0.458070 + 0.793400i 0.998859 0.0477582i \(-0.0152077\pi\)
−0.540789 + 0.841158i \(0.681874\pi\)
\(212\) −0.708388 + 1.22696i −0.0486523 + 0.0842682i
\(213\) −8.13314 + 25.0312i −0.557273 + 1.71511i
\(214\) −8.18604 + 3.64466i −0.559586 + 0.249144i
\(215\) −0.0539018 0.512841i −0.00367607 0.0349755i
\(216\) −2.38361 −0.162184
\(217\) 12.2331 23.8040i 0.830440 1.61592i
\(218\) 5.68086 + 9.83953i 0.384756 + 0.666417i
\(219\) 22.6479 + 10.0835i 1.53040 + 0.681379i
\(220\) −0.0206728 0.0150197i −0.00139376 0.00101263i
\(221\) −6.32514 + 10.5550i −0.425475 + 0.710005i
\(222\) −12.3374 −0.828035
\(223\) −3.87601 6.71344i −0.259557 0.449565i 0.706567 0.707647i \(-0.250243\pi\)
−0.966123 + 0.258081i \(0.916910\pi\)
\(224\) −8.22792 + 1.74890i −0.549751 + 0.116853i
\(225\) 16.2003 + 3.44349i 1.08002 + 0.229566i
\(226\) −3.85198 11.8552i −0.256230 0.788594i
\(227\) −0.318266 3.02810i −0.0211241 0.200982i 0.978870 0.204485i \(-0.0655518\pi\)
−0.999994 + 0.00350234i \(0.998885\pi\)
\(228\) 2.26528 + 2.51585i 0.150022 + 0.166616i
\(229\) −8.46774 + 6.15217i −0.559564 + 0.406547i −0.831299 0.555825i \(-0.812402\pi\)
0.271735 + 0.962372i \(0.412402\pi\)
\(230\) 0.382955 0.170502i 0.0252513 0.0112426i
\(231\) 9.39181 10.4307i 0.617936 0.686287i
\(232\) −0.435834 + 4.14668i −0.0286139 + 0.272243i
\(233\) 8.85328 + 6.43228i 0.579998 + 0.421393i 0.838723 0.544558i \(-0.183303\pi\)
−0.258726 + 0.965951i \(0.583303\pi\)
\(234\) −12.7115 + 8.92303i −0.830975 + 0.583317i
\(235\) 0.101716 + 0.0739010i 0.00663522 + 0.00482077i
\(236\) 3.40329 + 1.51524i 0.221536 + 0.0986340i
\(237\) −32.0795 + 6.81871i −2.08379 + 0.442923i
\(238\) 2.22764 + 21.1946i 0.144397 + 1.37384i
\(239\) 8.79091 + 27.0556i 0.568637 + 1.75008i 0.656890 + 0.753986i \(0.271871\pi\)
−0.0882537 + 0.996098i \(0.528129\pi\)
\(240\) 0.567269 + 0.120577i 0.0366170 + 0.00778319i
\(241\) 3.38414 + 3.75846i 0.217991 + 0.242104i 0.842215 0.539142i \(-0.181251\pi\)
−0.624224 + 0.781246i \(0.714585\pi\)
\(242\) 12.5362 0.805858
\(243\) −11.1837 + 19.3708i −0.717437 + 1.24264i
\(244\) −3.83269 + 0.814663i −0.245363 + 0.0521535i
\(245\) 0.118528 1.12772i 0.00757248 0.0720474i
\(246\) 31.6758 23.0138i 2.01958 1.46731i
\(247\) 15.1545 + 3.47987i 0.964259 + 0.221419i
\(248\) −13.0346 + 10.4804i −0.827698 + 0.665506i
\(249\) −14.1246 24.4646i −0.895111 1.55038i
\(250\) −0.835139 0.371828i −0.0528188 0.0235165i
\(251\) −15.9418 + 7.09775i −1.00624 + 0.448006i −0.842615 0.538517i \(-0.818985\pi\)
−0.163623 + 0.986523i \(0.552318\pi\)
\(252\) 1.53849 4.73497i 0.0969155 0.298275i
\(253\) −2.66262 + 4.61180i −0.167398 + 0.289941i
\(254\) −5.44743 + 9.43523i −0.341802 + 0.592019i
\(255\) −0.186600 + 0.574297i −0.0116854 + 0.0359639i
\(256\) 7.14488 + 1.51869i 0.446555 + 0.0949183i
\(257\) 9.34310 10.3766i 0.582807 0.647272i −0.377569 0.925981i \(-0.623240\pi\)
0.960376 + 0.278709i \(0.0899065\pi\)
\(258\) −21.8446 9.72584i −1.35998 0.605504i
\(259\) 5.61329 17.2759i 0.348793 1.07347i
\(260\) −0.0729552 + 0.0310692i −0.00452449 + 0.00192683i
\(261\) −3.72330 2.70514i −0.230466 0.167444i
\(262\) −11.5998 + 12.8829i −0.716638 + 0.795907i
\(263\) −0.760272 + 7.23351i −0.0468804 + 0.446037i 0.945754 + 0.324885i \(0.105326\pi\)
−0.992634 + 0.121152i \(0.961341\pi\)
\(264\) −8.01317 + 3.56770i −0.493177 + 0.219576i
\(265\) 0.0986775 + 0.303698i 0.00606171 + 0.0186560i
\(266\) 24.6013 10.9532i 1.50840 0.671583i
\(267\) −0.171675 1.63338i −0.0105063 0.0999610i
\(268\) −0.375471 + 1.15558i −0.0229355 + 0.0705883i
\(269\) −1.73406 16.4985i −0.105727 1.00593i −0.910827 0.412789i \(-0.864555\pi\)
0.805100 0.593140i \(-0.202112\pi\)
\(270\) −0.0485617 + 0.0539333i −0.00295537 + 0.00328227i
\(271\) 6.39738 7.10501i 0.388613 0.431598i −0.516816 0.856097i \(-0.672883\pi\)
0.905429 + 0.424498i \(0.139549\pi\)
\(272\) 3.45670 10.6386i 0.209593 0.645062i
\(273\) −12.7835 41.6374i −0.773695 2.52001i
\(274\) −4.04181 −0.244175
\(275\) 5.67688 1.20666i 0.342329 0.0727643i
\(276\) −0.376089 + 3.57825i −0.0226379 + 0.215385i
\(277\) −1.91793 18.2479i −0.115237 1.09641i −0.887405 0.460990i \(-0.847494\pi\)
0.772168 0.635418i \(-0.219172\pi\)
\(278\) 13.8365 0.829861
\(279\) −2.82457 18.2439i −0.169103 1.09223i
\(280\) −0.508313 + 0.880425i −0.0303775 + 0.0526154i
\(281\) 17.1823 12.4837i 1.02501 0.744713i 0.0577054 0.998334i \(-0.481622\pi\)
0.967304 + 0.253621i \(0.0816216\pi\)
\(282\) 5.32607 2.37132i 0.317163 0.141210i
\(283\) −3.25964 + 0.692858i −0.193766 + 0.0411861i −0.303772 0.952745i \(-0.598246\pi\)
0.110007 + 0.993931i \(0.464913\pi\)
\(284\) 1.63570 + 2.83312i 0.0970611 + 0.168115i
\(285\) 0.763038 0.0451985
\(286\) −2.79745 + 4.66820i −0.165417 + 0.276036i
\(287\) 17.8140 + 54.8259i 1.05153 + 3.23627i
\(288\) −3.88255 + 4.31200i −0.228781 + 0.254087i
\(289\) −4.88994 2.17714i −0.287643 0.128067i
\(290\) 0.0849464 + 0.0943425i 0.00498822 + 0.00553998i
\(291\) −6.65243 + 4.83327i −0.389972 + 0.283331i
\(292\) 2.81505 1.25334i 0.164738 0.0733463i
\(293\) 27.9357 + 5.93791i 1.63202 + 0.346897i 0.930653 0.365903i \(-0.119240\pi\)
0.701368 + 0.712800i \(0.252573\pi\)
\(294\) −42.5392 30.9066i −2.48094 1.80251i
\(295\) 0.767069 0.341521i 0.0446605 0.0198841i
\(296\) −7.59594 + 8.43615i −0.441505 + 0.490341i
\(297\) 0.0963697 0.916896i 0.00559193 0.0532037i
\(298\) −10.0548 + 7.30527i −0.582461 + 0.423183i
\(299\) 8.02859 + 14.4438i 0.464305 + 0.835304i
\(300\) 3.17234 2.30484i 0.183155 0.133070i
\(301\) 23.5578 26.1636i 1.35785 1.50804i
\(302\) 0.0796037 0.0884089i 0.00458068 0.00508736i
\(303\) −16.2531 18.0509i −0.933716 1.03700i
\(304\) −14.1350 −0.810697
\(305\) −0.441574 + 0.764829i −0.0252845 + 0.0437940i
\(306\) 9.83654 + 10.9246i 0.562317 + 0.624517i
\(307\) −10.6710 7.75292i −0.609025 0.442482i 0.240046 0.970762i \(-0.422837\pi\)
−0.849071 + 0.528279i \(0.822837\pi\)
\(308\) −0.182361 1.73505i −0.0103910 0.0988636i
\(309\) −2.69907 4.67493i −0.153545 0.265948i
\(310\) −0.0284194 + 0.508449i −0.00161411 + 0.0288780i
\(311\) 15.4512 0.876157 0.438079 0.898937i \(-0.355659\pi\)
0.438079 + 0.898937i \(0.355659\pi\)
\(312\) −3.28535 + 27.0205i −0.185996 + 1.52973i
\(313\) 9.61459 + 6.98541i 0.543449 + 0.394839i 0.825364 0.564601i \(-0.190970\pi\)
−0.281915 + 0.959439i \(0.590970\pi\)
\(314\) 16.7586 3.56216i 0.945744 0.201024i
\(315\) −0.561068 0.971799i −0.0316126 0.0547547i
\(316\) −2.03823 + 3.53031i −0.114659 + 0.198595i
\(317\) 9.73103 29.9490i 0.546549 1.68210i −0.170730 0.985318i \(-0.554612\pi\)
0.717278 0.696787i \(-0.245388\pi\)
\(318\) 14.4839 + 3.07865i 0.812216 + 0.172642i
\(319\) −1.57747 0.335301i −0.0883213 0.0187733i
\(320\) 0.502875 0.365360i 0.0281116 0.0204242i
\(321\) −11.5992 12.8822i −0.647405 0.719016i
\(322\) 26.1458 + 11.6409i 1.45705 + 0.648720i
\(323\) 1.53842 14.6371i 0.0856001 0.814431i
\(324\) 0.767696 + 2.36273i 0.0426498 + 0.131263i
\(325\) 5.84336 17.0356i 0.324131 0.944964i
\(326\) 18.3099 + 13.3029i 1.01409 + 0.736779i
\(327\) −14.7071 + 16.3339i −0.813307 + 0.903269i
\(328\) 3.76574 35.8286i 0.207928 1.97830i
\(329\) 0.897265 + 8.53691i 0.0494678 + 0.470655i
\(330\) −0.0825286 + 0.253997i −0.00454305 + 0.0139821i
\(331\) 0.323267 + 3.07568i 0.0177683 + 0.169054i 0.999807 0.0196230i \(-0.00624660\pi\)
−0.982039 + 0.188677i \(0.939580\pi\)
\(332\) −3.43455 0.730036i −0.188495 0.0400659i
\(333\) −3.87202 11.9168i −0.212185 0.653039i
\(334\) −13.9259 15.4662i −0.761989 0.846274i
\(335\) 0.136930 + 0.237170i 0.00748129 + 0.0129580i
\(336\) 19.7974 + 34.2902i 1.08004 + 1.87068i
\(337\) 5.33388 16.4160i 0.290555 0.894235i −0.694124 0.719856i \(-0.744208\pi\)
0.984678 0.174380i \(-0.0557920\pi\)
\(338\) 7.96365 + 14.8926i 0.433166 + 0.810051i
\(339\) 19.5089 14.1740i 1.05958 0.769828i
\(340\) 0.0375283 + 0.0650009i 0.00203526 + 0.00352517i
\(341\) −3.50447 5.43770i −0.189778 0.294468i
\(342\) 9.28789 16.0871i 0.502232 0.869891i
\(343\) 35.4107 25.7274i 1.91200 1.38915i
\(344\) −20.0997 + 8.94896i −1.08370 + 0.482495i
\(345\) 0.542628 + 0.602649i 0.0292141 + 0.0324455i
\(346\) 12.6070 0.677757
\(347\) −5.06065 + 8.76530i −0.271670 + 0.470546i −0.969290 0.245922i \(-0.920909\pi\)
0.697620 + 0.716468i \(0.254243\pi\)
\(348\) −1.06580 + 0.226544i −0.0571331 + 0.0121440i
\(349\) −3.68555 + 4.09322i −0.197283 + 0.219105i −0.833667 0.552267i \(-0.813763\pi\)
0.636384 + 0.771372i \(0.280429\pi\)
\(350\) −9.63874 29.6650i −0.515212 1.58566i
\(351\) −2.28689 1.71907i −0.122065 0.0917572i
\(352\) −0.628310 + 1.93374i −0.0334890 + 0.103069i
\(353\) 2.74595 + 1.22257i 0.146152 + 0.0650710i 0.478509 0.878083i \(-0.341177\pi\)
−0.332357 + 0.943154i \(0.607844\pi\)
\(354\) 4.06990 38.7225i 0.216313 2.05808i
\(355\) 0.721230 + 0.153302i 0.0382789 + 0.00813643i
\(356\) −0.165154 0.119991i −0.00875313 0.00635952i
\(357\) −37.6630 + 16.7687i −1.99334 + 0.887491i
\(358\) 7.79737 + 1.65738i 0.412104 + 0.0875954i
\(359\) −15.2820 11.1030i −0.806554 0.585996i 0.106276 0.994337i \(-0.466107\pi\)
−0.912829 + 0.408341i \(0.866107\pi\)
\(360\) 0.0733021 + 0.697423i 0.00386336 + 0.0367574i
\(361\) 0.393601 0.0836624i 0.0207158 0.00440328i
\(362\) 2.89199 + 1.28760i 0.152000 + 0.0676746i
\(363\) 7.49414 + 23.0646i 0.393340 + 1.21058i
\(364\) −4.90927 2.28218i −0.257316 0.119619i
\(365\) 0.214621 0.660537i 0.0112338 0.0345741i
\(366\) 20.4762 + 35.4658i 1.07031 + 1.85383i
\(367\) −5.77006 9.99403i −0.301195 0.521684i 0.675212 0.737623i \(-0.264052\pi\)
−0.976407 + 0.215939i \(0.930719\pi\)
\(368\) −10.0520 11.1638i −0.523995 0.581956i
\(369\) 32.1705 + 23.3732i 1.67473 + 1.21676i
\(370\) 0.0361288 + 0.343742i 0.00187824 + 0.0178703i
\(371\) −10.9009 + 18.8808i −0.565944 + 0.980244i
\(372\) −3.65739 2.39325i −0.189627 0.124084i
\(373\) −4.93576 + 8.54899i −0.255564 + 0.442650i −0.965049 0.262071i \(-0.915595\pi\)
0.709484 + 0.704721i \(0.248928\pi\)
\(374\) 4.70595 + 2.09523i 0.243339 + 0.108342i
\(375\) 0.184857 1.75880i 0.00954599 0.0908241i
\(376\) 1.65769 5.10186i 0.0854891 0.263108i
\(377\) −3.40875 + 3.66409i −0.175560 + 0.188710i
\(378\) −4.95494 −0.254854
\(379\) 26.3004 5.59033i 1.35096 0.287156i 0.525106 0.851037i \(-0.324026\pi\)
0.825856 + 0.563881i \(0.190692\pi\)
\(380\) 0.0634623 0.0704820i 0.00325555 0.00361565i
\(381\) −20.6158 4.38202i −1.05618 0.224498i
\(382\) −20.4007 + 14.8220i −1.04379 + 0.758358i
\(383\) −16.5801 18.4140i −0.847201 0.940912i 0.151669 0.988431i \(-0.451535\pi\)
−0.998870 + 0.0475190i \(0.984869\pi\)
\(384\) −2.09349 19.9182i −0.106833 1.01645i
\(385\) −0.318119 0.231127i −0.0162128 0.0117793i
\(386\) −22.5366 4.79030i −1.14708 0.243820i
\(387\) 2.53850 24.1523i 0.129039 1.22773i
\(388\) −0.106836 + 1.01647i −0.00542375 + 0.0516035i
\(389\) 4.37810 + 13.4744i 0.221979 + 0.683180i 0.998584 + 0.0531928i \(0.0169398\pi\)
−0.776606 + 0.629987i \(0.783060\pi\)
\(390\) 0.544451 + 0.624830i 0.0275694 + 0.0316395i
\(391\) 12.6545 9.19401i 0.639964 0.464961i
\(392\) −47.3240 + 10.0590i −2.39022 + 0.508058i
\(393\) −30.6368 13.6404i −1.54542 0.688066i
\(394\) −19.2287 4.08719i −0.968729 0.205910i
\(395\) 0.283922 + 0.873822i 0.0142857 + 0.0439668i
\(396\) −0.805245 0.894316i −0.0404651 0.0449411i
\(397\) −3.14905 + 5.45431i −0.158046 + 0.273744i −0.934164 0.356844i \(-0.883853\pi\)
0.776118 + 0.630588i \(0.217186\pi\)
\(398\) −11.8634 −0.594660
\(399\) 34.8587 + 38.7146i 1.74512 + 1.93815i
\(400\) −1.71136 + 16.2825i −0.0855679 + 0.814124i
\(401\) −6.60855 2.94232i −0.330015 0.146932i 0.235039 0.971986i \(-0.424478\pi\)
−0.565054 + 0.825054i \(0.691145\pi\)
\(402\) 12.6991 0.633375
\(403\) −20.0642 + 0.654520i −0.999468 + 0.0326040i
\(404\) −3.01915 −0.150208
\(405\) 0.511531 + 0.227748i 0.0254182 + 0.0113169i
\(406\) −0.905990 + 8.61992i −0.0449635 + 0.427799i
\(407\) −2.93800 3.26298i −0.145631 0.161740i
\(408\) 25.7644 1.27553
\(409\) 1.38464 2.39827i 0.0684662 0.118587i −0.829760 0.558120i \(-0.811523\pi\)
0.898226 + 0.439533i \(0.144856\pi\)
\(410\) −0.733963 0.815149i −0.0362479 0.0402573i
\(411\) −2.41619 7.43628i −0.119182 0.366805i
\(412\) −0.656308 0.139503i −0.0323340 0.00687280i
\(413\) 52.3708 + 23.3170i 2.57700 + 1.14735i
\(414\) 19.3106 4.10460i 0.949066 0.201730i
\(415\) −0.640262 + 0.465178i −0.0314292 + 0.0228347i
\(416\) 4.14504 + 4.75698i 0.203227 + 0.233230i
\(417\) 8.27149 + 25.4570i 0.405057 + 1.24664i
\(418\) 0.680406 6.47363i 0.0332797 0.316635i
\(419\) 0.0693003 0.659349i 0.00338554 0.0322113i −0.992699 0.120620i \(-0.961512\pi\)
0.996084 + 0.0884091i \(0.0281783\pi\)
\(420\) −0.259868 0.0552367i −0.0126803 0.00269527i
\(421\) 4.47853 + 3.25384i 0.218270 + 0.158582i 0.691548 0.722331i \(-0.256929\pi\)
−0.473278 + 0.880913i \(0.656929\pi\)
\(422\) −1.80707 17.1932i −0.0879669 0.836950i
\(423\) 3.96203 + 4.40027i 0.192640 + 0.213949i
\(424\) 11.0226 8.00839i 0.535305 0.388922i
\(425\) −16.6746 3.54430i −0.808838 0.171924i
\(426\) 22.8784 25.4090i 1.10846 1.23107i
\(427\) −58.9784 + 12.5362i −2.85416 + 0.606671i
\(428\) −2.15465 −0.104149
\(429\) −10.2611 2.35621i −0.495408 0.113759i
\(430\) −0.207009 + 0.637109i −0.00998287 + 0.0307241i
\(431\) 3.48310 33.1395i 0.167775 1.59627i −0.509452 0.860499i \(-0.670152\pi\)
0.677227 0.735774i \(-0.263182\pi\)
\(432\) 2.37595 + 1.05784i 0.114313 + 0.0508953i
\(433\) −8.12356 + 14.0704i −0.390393 + 0.676181i −0.992501 0.122233i \(-0.960994\pi\)
0.602108 + 0.798415i \(0.294328\pi\)
\(434\) −27.0957 + 21.7861i −1.30064 + 1.04577i
\(435\) −0.122794 + 0.212686i −0.00588753 + 0.0101975i
\(436\) 0.285569 + 2.71701i 0.0136763 + 0.130121i
\(437\) −15.9904 11.6177i −0.764925 0.555751i
\(438\) −21.5500 23.9337i −1.02970 1.14360i
\(439\) 2.56990 + 4.45119i 0.122654 + 0.212444i 0.920814 0.390003i \(-0.127526\pi\)
−0.798159 + 0.602447i \(0.794193\pi\)
\(440\) 0.122868 + 0.212813i 0.00585749 + 0.0101455i
\(441\) 16.5023 50.7888i 0.785823 2.41851i
\(442\) 13.0836 9.18427i 0.622325 0.436851i
\(443\) −7.51938 23.1423i −0.357257 1.09952i −0.954689 0.297604i \(-0.903813\pi\)
0.597433 0.801919i \(-0.296187\pi\)
\(444\) −2.71011 1.20662i −0.128616 0.0572637i
\(445\) −0.0450059 + 0.00956630i −0.00213349 + 0.000453486i
\(446\) 1.05266 + 10.0154i 0.0498448 + 0.474242i
\(447\) −19.4513 14.1322i −0.920015 0.668430i
\(448\) 41.5108 + 8.82340i 1.96120 + 0.416866i
\(449\) −7.96865 + 3.54787i −0.376064 + 0.167434i −0.586060 0.810268i \(-0.699322\pi\)
0.209996 + 0.977702i \(0.432655\pi\)
\(450\) −17.4067 12.6467i −0.820558 0.596170i
\(451\) 13.6298 + 2.89711i 0.641803 + 0.136419i
\(452\) 0.313306 2.98090i 0.0147367 0.140210i
\(453\) 0.210245 + 0.0936072i 0.00987818 + 0.00439805i
\(454\) −1.22230 + 3.76185i −0.0573653 + 0.176552i
\(455\) −1.12265 + 0.478101i −0.0526308 + 0.0224137i
\(456\) −10.0605 30.9630i −0.471125 1.44997i
\(457\) −0.475295 + 0.527868i −0.0222333 + 0.0246926i −0.754159 0.656692i \(-0.771955\pi\)
0.731926 + 0.681385i \(0.238622\pi\)
\(458\) 13.3000 2.82701i 0.621470 0.132097i
\(459\) −1.35401 + 2.34521i −0.0631998 + 0.109465i
\(460\) 0.100797 0.00469971
\(461\) −3.87209 4.30040i −0.180341 0.200289i 0.646196 0.763172i \(-0.276359\pi\)
−0.826537 + 0.562882i \(0.809692\pi\)
\(462\) −16.6574 + 7.41635i −0.774972 + 0.345040i
\(463\) −23.6388 + 17.1746i −1.09859 + 0.798171i −0.980829 0.194871i \(-0.937571\pi\)
−0.117759 + 0.993042i \(0.537571\pi\)
\(464\) 2.27471 3.93992i 0.105601 0.182906i
\(465\) −0.952454 + 0.251664i −0.0441690 + 0.0116706i
\(466\) −7.10812 12.3116i −0.329277 0.570325i
\(467\) −13.1840 + 9.57876i −0.610084 + 0.443252i −0.849444 0.527679i \(-0.823063\pi\)
0.239360 + 0.970931i \(0.423063\pi\)
\(468\) −3.66496 + 0.716883i −0.169413 + 0.0331379i
\(469\) −5.77784 + 17.7824i −0.266796 + 0.821114i
\(470\) −0.0816658 0.141449i −0.00376696 0.00652457i
\(471\) 16.5721 + 28.7037i 0.763603 + 1.32260i
\(472\) −23.9721 26.6237i −1.10340 1.22545i
\(473\) −2.62973 8.09349i −0.120915 0.372139i
\(474\) 41.6741 + 8.85811i 1.91416 + 0.406866i
\(475\) 2.25166 + 21.4231i 0.103313 + 0.982959i
\(476\) −1.58353 + 4.87360i −0.0725809 + 0.223381i
\(477\) 1.57197 + 14.9563i 0.0719757 + 0.684803i
\(478\) 3.86300 36.7540i 0.176689 1.68109i
\(479\) 2.39976 2.66520i 0.109648 0.121776i −0.685822 0.727769i \(-0.740557\pi\)
0.795470 + 0.605993i \(0.207224\pi\)
\(480\) 0.250496 + 0.181996i 0.0114335 + 0.00830694i
\(481\) −13.3719 + 2.61560i −0.609706 + 0.119261i
\(482\) −2.03029 6.24858i −0.0924771 0.284615i
\(483\) −5.78736 + 55.0630i −0.263334 + 2.50545i
\(484\) 2.75377 + 1.22606i 0.125172 + 0.0557300i
\(485\) 0.154144 + 0.171194i 0.00699932 + 0.00777353i
\(486\) 23.5079 17.0795i 1.06634 0.774740i
\(487\) 37.5153 + 7.97412i 1.69998 + 0.361342i 0.952875 0.303364i \(-0.0981097\pi\)
0.747105 + 0.664706i \(0.231443\pi\)
\(488\) 36.8577 + 7.83436i 1.66847 + 0.354645i
\(489\) −13.5296 + 41.6397i −0.611827 + 1.88301i
\(490\) −0.736538 + 1.27572i −0.0332734 + 0.0576312i
\(491\) −13.5416 23.4547i −0.611123 1.05850i −0.991052 0.133480i \(-0.957385\pi\)
0.379929 0.925016i \(-0.375948\pi\)
\(492\) 9.20888 1.95741i 0.415168 0.0882467i
\(493\) 3.83231 + 2.78433i 0.172598 + 0.125400i
\(494\) −16.1463 12.1373i −0.726456 0.546082i
\(495\) −0.271239 −0.0121913
\(496\) 17.6438 4.66198i 0.792232 0.209329i
\(497\) 25.1706 + 43.5968i 1.12906 + 1.95558i
\(498\) 3.83601 + 36.4972i 0.171896 + 1.63548i
\(499\) 26.7424 + 19.4295i 1.19715 + 0.869782i 0.994002 0.109366i \(-0.0348819\pi\)
0.203150 + 0.979148i \(0.434882\pi\)
\(500\) −0.147086 0.163356i −0.00657789 0.00730549i
\(501\) 20.1305 34.8670i 0.899364 1.55774i
\(502\) 22.6697 1.01180
\(503\) 12.2670 + 13.6238i 0.546957 + 0.607457i 0.951721 0.306964i \(-0.0993131\pi\)
−0.404764 + 0.914421i \(0.632646\pi\)
\(504\) −32.0367 + 35.5803i −1.42703 + 1.58487i
\(505\) −0.455334 + 0.505699i −0.0202621 + 0.0225033i
\(506\) 5.59675 4.06628i 0.248806 0.180768i
\(507\) −22.6393 + 23.5546i −1.00545 + 1.04610i
\(508\) −2.11939 + 1.53983i −0.0940329 + 0.0683189i
\(509\) −0.382064 + 3.63510i −0.0169347 + 0.161123i −0.999721 0.0236235i \(-0.992480\pi\)
0.982786 + 0.184746i \(0.0591464\pi\)
\(510\) 0.524904 0.582964i 0.0232431 0.0258141i
\(511\) 43.3187 19.2867i 1.91631 0.853195i
\(512\) −20.5716 14.9462i −0.909145 0.660533i
\(513\) 3.34713 + 0.711454i 0.147779 + 0.0314115i
\(514\) −16.5710 + 7.37789i −0.730916 + 0.325425i
\(515\) −0.122348 + 0.0888908i −0.00539128 + 0.00391700i
\(516\) −3.84731 4.27287i −0.169368 0.188103i
\(517\) 1.89549 + 0.843929i 0.0833638 + 0.0371159i
\(518\) −15.7901 + 17.5367i −0.693776 + 0.770516i
\(519\) 7.53647 + 23.1949i 0.330814 + 1.01814i
\(520\) 0.762457 + 0.0124092i 0.0334360 + 0.000544180i
\(521\) 29.0930 1.27459 0.637293 0.770622i \(-0.280054\pi\)
0.637293 + 0.770622i \(0.280054\pi\)
\(522\) 2.98936 + 5.17773i 0.130841 + 0.226623i
\(523\) 17.7872 3.78079i 0.777782 0.165323i 0.198118 0.980178i \(-0.436517\pi\)
0.579664 + 0.814856i \(0.303184\pi\)
\(524\) −3.80804 + 1.69545i −0.166355 + 0.0740661i
\(525\) 48.8168 35.4675i 2.13054 1.54793i
\(526\) 4.72436 8.18283i 0.205992 0.356789i
\(527\) 2.90727 + 18.7780i 0.126643 + 0.817983i
\(528\) 9.57073 0.416513
\(529\) 0.208411 + 1.98290i 0.00906134 + 0.0862129i
\(530\) 0.0433620 0.412561i 0.00188352 0.0179205i
\(531\) 38.6797 8.22163i 1.67856 0.356788i
\(532\) 6.47529 0.280740
\(533\) 29.4527 31.6589i 1.27574 1.37130i
\(534\) −0.659315 + 2.02916i −0.0285313 + 0.0878104i
\(535\) −0.324954 + 0.360898i −0.0140490 + 0.0156030i
\(536\) 7.81862 8.68346i 0.337713 0.375068i
\(537\) 1.61195 + 15.3367i 0.0695608 + 0.661827i
\(538\) −6.65962 + 20.4962i −0.287117 + 0.883655i
\(539\) −1.95606 18.6107i −0.0842535 0.801618i
\(540\) −0.0159421 + 0.00709788i −0.000686039 + 0.000305444i
\(541\) −9.66757 29.7537i −0.415641 1.27921i −0.911676 0.410909i \(-0.865211\pi\)
0.496035 0.868302i \(-0.334789\pi\)
\(542\) −11.3464 + 5.05176i −0.487371 + 0.216992i
\(543\) −0.640139 + 6.09052i −0.0274710 + 0.261369i
\(544\) 3.99622 4.43825i 0.171336 0.190288i
\(545\) 0.498159 + 0.361934i 0.0213388 + 0.0155036i
\(546\) −6.82943 + 56.1689i −0.292273 + 2.40381i
\(547\) −10.1381 + 31.2020i −0.433476 + 1.33410i 0.461165 + 0.887314i \(0.347432\pi\)
−0.894641 + 0.446786i \(0.852568\pi\)
\(548\) −0.887847 0.395295i −0.0379270 0.0168862i
\(549\) −27.8304 + 30.9088i −1.18777 + 1.31916i
\(550\) −7.37477 1.56756i −0.314461 0.0668408i
\(551\) 1.84970 5.69279i 0.0787998 0.242521i
\(552\) 17.3002 29.9649i 0.736346 1.27539i
\(553\) −31.3647 + 54.3253i −1.33376 + 2.31015i
\(554\) −7.36578 + 22.6695i −0.312942 + 0.963137i
\(555\) −0.610833 + 0.271960i −0.0259284 + 0.0115441i
\(556\) 3.03942 + 1.35324i 0.128900 + 0.0573900i
\(557\) −20.5437 35.5827i −0.870463 1.50769i −0.861518 0.507727i \(-0.830486\pi\)
−0.00894541 0.999960i \(-0.502847\pi\)
\(558\) −6.28769 + 23.1439i −0.266179 + 0.979758i
\(559\) −25.7381 5.91015i −1.08861 0.249973i
\(560\) 0.897408 0.652005i 0.0379224 0.0275523i
\(561\) −1.04166 + 9.91072i −0.0439789 + 0.418431i
\(562\) −26.9877 + 5.73642i −1.13841 + 0.241976i
\(563\) −6.92495 + 11.9944i −0.291852 + 0.505502i −0.974248 0.225481i \(-0.927605\pi\)
0.682396 + 0.730983i \(0.260938\pi\)
\(564\) 1.40187 0.0590295
\(565\) −0.452042 0.502044i −0.0190176 0.0211212i
\(566\) 4.23456 + 0.900083i 0.177992 + 0.0378333i
\(567\) 11.8135 + 36.3582i 0.496120 + 1.52690i
\(568\) −3.28847 31.2877i −0.137981 1.31280i
\(569\) 23.8247 5.06410i 0.998784 0.212298i 0.320619 0.947208i \(-0.396109\pi\)
0.678165 + 0.734910i \(0.262776\pi\)
\(570\) −0.905555 0.403179i −0.0379295 0.0168873i
\(571\) 16.3522 + 11.8806i 0.684318 + 0.497186i 0.874787 0.484507i \(-0.161001\pi\)
−0.190470 + 0.981693i \(0.561001\pi\)
\(572\) −1.07106 + 0.751849i −0.0447833 + 0.0314364i
\(573\) −39.4656 28.6734i −1.64870 1.19785i
\(574\) 7.82803 74.4788i 0.326736 3.10868i
\(575\) −15.3188 + 17.0132i −0.638837 + 0.709500i
\(576\) 26.7428 11.9067i 1.11428 0.496111i
\(577\) −26.9575 + 19.5857i −1.12225 + 0.815365i −0.984549 0.175108i \(-0.943972\pi\)
−0.137705 + 0.990473i \(0.543972\pi\)
\(578\) 4.65289 + 5.16755i 0.193535 + 0.214942i
\(579\) −4.65899 44.3273i −0.193621 1.84218i
\(580\) 0.00943297 + 0.0290317i 0.000391683 + 0.00120548i
\(581\) −52.8517 11.2340i −2.19266 0.466064i
\(582\) 10.4488 2.22095i 0.433116 0.0920615i
\(583\) 2.63492 + 4.56381i 0.109127 + 0.189014i
\(584\) −29.6334 −1.22624
\(585\) −0.432656 + 0.721989i −0.0178881 + 0.0298506i
\(586\) −30.0159 21.8078i −1.23994 0.900873i
\(587\) −25.8689 11.5176i −1.06772 0.475381i −0.203805 0.979012i \(-0.565331\pi\)
−0.863919 + 0.503630i \(0.831997\pi\)
\(588\) −6.32170 10.9495i −0.260703 0.451550i
\(589\) 21.4317 10.8263i 0.883077 0.446090i
\(590\) −1.09079 −0.0449073
\(591\) −3.97516 37.8211i −0.163516 1.55575i
\(592\) 11.3154 5.03796i 0.465062 0.207059i
\(593\) −7.04457 + 21.6810i −0.289286 + 0.890331i 0.695795 + 0.718240i \(0.255052\pi\)
−0.985081 + 0.172090i \(0.944948\pi\)
\(594\) −0.598845 + 1.03723i −0.0245709 + 0.0425580i
\(595\) 0.577495 + 1.00025i 0.0236750 + 0.0410063i
\(596\) −2.92317 + 0.621339i −0.119738 + 0.0254511i
\(597\) −7.09196 21.8268i −0.290255 0.893312i
\(598\) −1.89625 21.3837i −0.0775433 0.874444i
\(599\) 9.10892 6.61802i 0.372180 0.270405i −0.385934 0.922526i \(-0.626121\pi\)
0.758114 + 0.652121i \(0.226121\pi\)
\(600\) −36.8852 + 7.84018i −1.50583 + 0.320074i
\(601\) −40.9342 18.2251i −1.66974 0.743416i −1.00000 0.000819414i \(-0.999739\pi\)
−0.669739 0.742596i \(-0.733594\pi\)
\(602\) −41.7823 + 18.6027i −1.70292 + 0.758188i
\(603\) 3.98553 + 12.2662i 0.162303 + 0.499518i
\(604\) 0.0261327 0.0116350i 0.00106333 0.000473423i
\(605\) 0.620673 0.276342i 0.0252340 0.0112349i
\(606\) 9.75093 + 30.0103i 0.396105 + 1.21908i
\(607\) 22.6403 10.0801i 0.918940 0.409138i 0.107922 0.994159i \(-0.465580\pi\)
0.811018 + 0.585021i \(0.198914\pi\)
\(608\) −6.89420 3.06950i −0.279597 0.124485i
\(609\) −16.4009 + 3.48611i −0.664597 + 0.141264i
\(610\) 0.928175 0.674359i 0.0375807 0.0273040i
\(611\) 5.26991 3.69930i 0.213198 0.149658i
\(612\) 1.09231 + 3.36179i 0.0441540 + 0.135892i
\(613\) 4.90380 1.04234i 0.198063 0.0420995i −0.107812 0.994171i \(-0.534384\pi\)
0.305875 + 0.952072i \(0.401051\pi\)
\(614\) 8.56752 + 14.8394i 0.345757 + 0.598868i
\(615\) 1.06098 1.83767i 0.0427828 0.0741020i
\(616\) −5.18448 + 15.9562i −0.208889 + 0.642893i
\(617\) 12.8151 5.70563i 0.515915 0.229700i −0.132227 0.991219i \(-0.542213\pi\)
0.648142 + 0.761519i \(0.275546\pi\)
\(618\) 0.733023 + 6.97425i 0.0294865 + 0.280545i
\(619\) 36.5192 1.46783 0.733916 0.679240i \(-0.237690\pi\)
0.733916 + 0.679240i \(0.237690\pi\)
\(620\) −0.0559698 + 0.108909i −0.00224780 + 0.00437391i
\(621\) 1.81837 + 3.14951i 0.0729688 + 0.126386i
\(622\) −18.3371 8.16421i −0.735251 0.327355i
\(623\) −2.54143 1.84645i −0.101820 0.0739767i
\(624\) 15.2664 25.4755i 0.611145 1.01984i
\(625\) 24.9257 0.997027
\(626\) −7.71937 13.3703i −0.308528 0.534386i
\(627\) 12.3172 2.61810i 0.491901 0.104557i
\(628\) 4.02968 + 0.856536i 0.160802 + 0.0341795i
\(629\) 3.98538 + 12.2657i 0.158907 + 0.489067i
\(630\) 0.152377 + 1.44977i 0.00607084 + 0.0577602i
\(631\) −7.22451 8.02363i −0.287603 0.319416i 0.581979 0.813204i \(-0.302278\pi\)
−0.869582 + 0.493788i \(0.835612\pi\)
\(632\) 31.7150 23.0423i 1.26156 0.916574i
\(633\) 30.5524 13.6028i 1.21435 0.540662i
\(634\) −27.3732 + 30.4010i −1.08713 + 1.20738i
\(635\) −0.0617196 + 0.587223i −0.00244927 + 0.0233032i
\(636\) 2.88052 + 2.09282i 0.114220 + 0.0829857i
\(637\) −52.6583 24.4794i −2.08640 0.969910i
\(638\) 1.69493 + 1.23144i 0.0671030 + 0.0487532i
\(639\) 31.7230 + 14.1240i 1.25494 + 0.558736i
\(640\) −0.548824 + 0.116656i −0.0216942 + 0.00461124i
\(641\) 4.25496 + 40.4832i 0.168061 + 1.59899i 0.675537 + 0.737326i \(0.263912\pi\)
−0.507476 + 0.861666i \(0.669421\pi\)
\(642\) 6.95886 + 21.4172i 0.274644 + 0.845269i
\(643\) −45.7812 9.73110i −1.80544 0.383757i −0.822656 0.568539i \(-0.807509\pi\)
−0.982780 + 0.184782i \(0.940842\pi\)
\(644\) 4.60485 + 5.11420i 0.181456 + 0.201528i
\(645\) −1.29593 −0.0510271
\(646\) −9.55982 + 16.5581i −0.376126 + 0.651469i
\(647\) 29.9856 6.37363i 1.17885 0.250573i 0.423504 0.905894i \(-0.360800\pi\)
0.755351 + 0.655321i \(0.227467\pi\)
\(648\) 2.49728 23.7600i 0.0981023 0.933381i
\(649\) 11.2104 8.14486i 0.440048 0.319714i
\(650\) −15.9361 + 17.1299i −0.625066 + 0.671889i
\(651\) −56.2808 36.8280i −2.20582 1.44340i
\(652\) 2.72101 + 4.71292i 0.106563 + 0.184572i
\(653\) −2.91219 1.29659i −0.113963 0.0507396i 0.348963 0.937136i \(-0.386534\pi\)
−0.462926 + 0.886397i \(0.653200\pi\)
\(654\) 26.0847 11.6137i 1.01999 0.454130i
\(655\) −0.290328 + 0.893537i −0.0113440 + 0.0349134i
\(656\) −19.6542 + 34.0421i −0.767369 + 1.32912i
\(657\) 16.3544 28.3267i 0.638047 1.10513i
\(658\) 3.44594 10.6055i 0.134337 0.413445i
\(659\) 17.2169 + 3.65956i 0.670674 + 0.142556i 0.530649 0.847592i \(-0.321948\pi\)
0.140025 + 0.990148i \(0.455282\pi\)
\(660\) −0.0429700 + 0.0477230i −0.00167261 + 0.00185762i
\(661\) −37.0210 16.4828i −1.43995 0.641108i −0.469616 0.882871i \(-0.655608\pi\)
−0.970335 + 0.241763i \(0.922274\pi\)
\(662\) 1.24150 3.82095i 0.0482523 0.148505i
\(663\) 24.7190 + 18.5814i 0.960005 + 0.721642i
\(664\) 27.3180 + 19.8477i 1.06014 + 0.770239i
\(665\) 0.976574 1.08459i 0.0378699 0.0420588i
\(666\) −1.70148 + 16.1885i −0.0659312 + 0.627293i
\(667\) 5.81157 2.58748i 0.225025 0.100188i
\(668\) −1.54641 4.75937i −0.0598325 0.184146i
\(669\) −17.7974 + 7.92392i −0.688088 + 0.306356i
\(670\) −0.0371879 0.353819i −0.00143669 0.0136692i
\(671\) −4.50378 + 13.8612i −0.173866 + 0.535106i
\(672\) 2.20969 + 21.0238i 0.0852408 + 0.811012i
\(673\) −14.2579 + 15.8350i −0.549602 + 0.610395i −0.952384 0.304901i \(-0.901377\pi\)
0.402782 + 0.915296i \(0.368043\pi\)
\(674\) −15.0041 + 16.6637i −0.577936 + 0.641863i
\(675\) 1.22479 3.76951i 0.0471421 0.145089i
\(676\) 0.292824 + 4.05025i 0.0112624 + 0.155779i
\(677\) −2.25121 −0.0865211 −0.0432605 0.999064i \(-0.513775\pi\)
−0.0432605 + 0.999064i \(0.513775\pi\)
\(678\) −30.6421 + 6.51317i −1.17680 + 0.250137i
\(679\) −1.64401 + 15.6417i −0.0630914 + 0.600275i
\(680\) −0.0754482 0.717841i −0.00289330 0.0275280i
\(681\) −7.65188 −0.293221
\(682\) 1.28581 + 8.30505i 0.0492363 + 0.318017i
\(683\) 6.59445 11.4219i 0.252330 0.437048i −0.711837 0.702345i \(-0.752137\pi\)
0.964167 + 0.265297i \(0.0854699\pi\)
\(684\) 3.61358 2.62542i 0.138169 0.100385i
\(685\) −0.200112 + 0.0890955i −0.00764588 + 0.00340417i
\(686\) −55.6185 + 11.8221i −2.12353 + 0.451369i
\(687\) 13.1520 + 22.7799i 0.501780 + 0.869109i
\(688\) 24.0066 0.915242
\(689\) 16.3510 + 0.266118i 0.622924 + 0.0101383i
\(690\) −0.325546 1.00193i −0.0123933 0.0381427i
\(691\) −27.6987 + 30.7626i −1.05371 + 1.17026i −0.0687224 + 0.997636i \(0.521892\pi\)
−0.984987 + 0.172627i \(0.944774\pi\)
\(692\) 2.76933 + 1.23298i 0.105274 + 0.0468711i
\(693\) −12.3913 13.7620i −0.470707 0.522774i
\(694\) 10.6373 7.72847i 0.403787 0.293369i
\(695\) 0.685054 0.305006i 0.0259856 0.0115695i
\(696\) 10.2495 + 2.17860i 0.388506 + 0.0825795i
\(697\) −33.1123 24.0575i −1.25422 0.911243i
\(698\) 6.53673 2.91034i 0.247419 0.110158i
\(699\) 18.4022 20.4377i 0.696035 0.773025i
\(700\) 0.783980 7.45907i 0.0296316 0.281926i
\(701\) −24.4576 + 17.7695i −0.923751 + 0.671144i −0.944455 0.328642i \(-0.893409\pi\)
0.0207041 + 0.999786i \(0.493409\pi\)
\(702\) 1.80569 + 3.24851i 0.0681514 + 0.122607i
\(703\) 13.1844 9.57904i 0.497260 0.361280i
\(704\) 6.86395 7.62319i 0.258695 0.287310i
\(705\) 0.211424 0.234810i 0.00796269 0.00884347i
\(706\) −2.61283 2.90184i −0.0983352 0.109212i
\(707\) −46.4594 −1.74729
\(708\) 4.68114 8.10797i 0.175928 0.304716i
\(709\) 7.60160 + 8.44243i 0.285484 + 0.317062i 0.868781 0.495197i \(-0.164904\pi\)
−0.583297 + 0.812259i \(0.698237\pi\)
\(710\) −0.774935 0.563023i −0.0290828 0.0211299i
\(711\) 4.52300 + 43.0334i 0.169626 + 1.61388i
\(712\) 0.981580 + 1.70015i 0.0367863 + 0.0637157i
\(713\) 23.7916 + 9.22776i 0.891002 + 0.345582i
\(714\) 53.5579 2.00435
\(715\) −0.0355997 + 0.292790i −0.00133135 + 0.0109497i
\(716\) 1.55072 + 1.12667i 0.0579532 + 0.0421054i
\(717\) 69.9307 14.8642i 2.61161 0.555115i
\(718\) 12.2696 + 21.2516i 0.457898 + 0.793103i
\(719\) −25.0787 + 43.4377i −0.935279 + 1.61995i −0.161144 + 0.986931i \(0.551518\pi\)
−0.774135 + 0.633020i \(0.781815\pi\)
\(720\) 0.236448 0.727711i 0.00881188 0.0271202i
\(721\) −10.0994 2.14670i −0.376123 0.0799473i
\(722\) −0.511322 0.108685i −0.0190294 0.00404483i
\(723\) 10.2827 7.47081i 0.382417 0.277842i
\(724\) 0.509342 + 0.565682i 0.0189295 + 0.0210234i
\(725\) −6.33373 2.81996i −0.235229 0.104731i
\(726\) 3.29316 31.3323i 0.122221 1.16285i
\(727\) −7.99591 24.6089i −0.296552 0.912693i −0.982696 0.185227i \(-0.940698\pi\)
0.686144 0.727466i \(-0.259302\pi\)
\(728\) 34.2026 + 39.2520i 1.26763 + 1.45478i
\(729\) 26.1739 + 19.0165i 0.969404 + 0.704314i
\(730\) −0.603726 + 0.670506i −0.0223449 + 0.0248165i
\(731\) −2.61283 + 24.8594i −0.0966388 + 0.919457i
\(732\) 1.02931 + 9.79322i 0.0380444 + 0.361968i
\(733\) 14.2649 43.9028i 0.526885 1.62159i −0.233672 0.972315i \(-0.575074\pi\)
0.760557 0.649271i \(-0.224926\pi\)
\(734\) 1.56705 + 14.9095i 0.0578409 + 0.550319i
\(735\) −2.78743 0.592486i −0.102816 0.0218542i
\(736\) −2.47846 7.62790i −0.0913571 0.281168i
\(737\) 3.02413 + 3.35864i 0.111395 + 0.123717i
\(738\) −25.8290 44.7372i −0.950780 1.64680i
\(739\) −25.2990 43.8192i −0.930639 1.61191i −0.782231 0.622988i \(-0.785919\pi\)
−0.148408 0.988926i \(-0.547415\pi\)
\(740\) −0.0256823 + 0.0790419i −0.000944099 + 0.00290564i
\(741\) 12.6784 36.9622i 0.465752 1.35784i
\(742\) 22.9133 16.6475i 0.841172 0.611147i
\(743\) 9.84165 + 17.0462i 0.361055 + 0.625366i 0.988135 0.153589i \(-0.0490833\pi\)
−0.627080 + 0.778955i \(0.715750\pi\)
\(744\) 22.7701 + 35.3311i 0.834791 + 1.29530i
\(745\) −0.336786 + 0.583331i −0.0123389 + 0.0213716i
\(746\) 10.3748 7.53775i 0.379849 0.275976i
\(747\) −34.0491 + 15.1596i −1.24579 + 0.554661i
\(748\) 0.828821 + 0.920499i 0.0303047 + 0.0336568i
\(749\) −33.1563 −1.21150
\(750\) −1.14871 + 1.98963i −0.0419450 + 0.0726508i
\(751\) −25.2032 + 5.35711i −0.919678 + 0.195484i −0.643343 0.765578i \(-0.722453\pi\)
−0.276335 + 0.961061i \(0.589120\pi\)
\(752\) −3.91655 + 4.34977i −0.142822 + 0.158620i
\(753\) 13.5520 + 41.7086i 0.493861 + 1.51995i
\(754\) 5.98148 2.54732i 0.217833 0.0927678i
\(755\) 0.00199238 0.00613191i 7.25101e−5