Properties

Label 144.2.u.a.11.12
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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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 11.12
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0415142 + 1.41360i) q^{2} +(1.52574 + 0.819834i) q^{3} +(-1.99655 - 0.117369i) q^{4} +(-0.769670 - 0.206232i) q^{5} +(-1.22226 + 2.12275i) q^{6} +(-2.17574 + 3.76849i) q^{7} +(0.248799 - 2.81746i) q^{8} +(1.65574 + 2.50170i) q^{9} +O(q^{10})\) \(q+(-0.0415142 + 1.41360i) q^{2} +(1.52574 + 0.819834i) q^{3} +(-1.99655 - 0.117369i) q^{4} +(-0.769670 - 0.206232i) q^{5} +(-1.22226 + 2.12275i) q^{6} +(-2.17574 + 3.76849i) q^{7} +(0.248799 - 2.81746i) q^{8} +(1.65574 + 2.50170i) q^{9} +(0.323483 - 1.07945i) q^{10} +(3.93991 - 1.05570i) q^{11} +(-2.94999 - 1.81592i) q^{12} +(1.69772 + 0.454903i) q^{13} +(-5.23683 - 3.23208i) q^{14} +(-1.00524 - 0.945658i) q^{15} +(3.97245 + 0.468669i) q^{16} -6.68683i q^{17} +(-3.60515 + 2.23671i) q^{18} +(-0.708282 - 0.708282i) q^{19} +(1.51248 + 0.502090i) q^{20} +(-6.40914 + 3.96598i) q^{21} +(1.32877 + 5.61330i) q^{22} +(3.88191 - 2.24122i) q^{23} +(2.68945 - 4.09473i) q^{24} +(-3.78027 - 2.18254i) q^{25} +(-0.713532 + 2.38102i) q^{26} +(0.475249 + 5.17437i) q^{27} +(4.78628 - 7.26863i) q^{28} +(-3.98981 + 1.06907i) q^{29} +(1.37852 - 1.38175i) q^{30} +(4.94177 - 2.85313i) q^{31} +(-0.827425 + 5.59601i) q^{32} +(6.87676 + 1.61936i) q^{33} +(9.45254 + 0.277599i) q^{34} +(2.45179 - 2.45179i) q^{35} +(-3.01216 - 5.18911i) q^{36} +(-1.51665 - 1.51665i) q^{37} +(1.03063 - 0.971827i) q^{38} +(2.21733 + 2.08591i) q^{39} +(-0.772546 + 2.11721i) q^{40} +(-1.36389 - 2.36233i) q^{41} +(-5.34025 - 9.22463i) q^{42} +(2.30553 + 8.60436i) q^{43} +(-7.99014 + 1.64533i) q^{44} +(-0.758445 - 2.26695i) q^{45} +(3.00704 + 5.58052i) q^{46} +(-1.23164 + 2.13327i) q^{47} +(5.67668 + 3.97181i) q^{48} +(-5.96768 - 10.3363i) q^{49} +(3.24218 - 5.25319i) q^{50} +(5.48209 - 10.2023i) q^{51} +(-3.33620 - 1.10750i) q^{52} +(-1.68291 + 1.68291i) q^{53} +(-7.33424 + 0.457004i) q^{54} -3.25015 q^{55} +(10.0763 + 7.06766i) q^{56} +(-0.499978 - 1.66133i) q^{57} +(-1.34560 - 5.68439i) q^{58} +(-0.269331 + 1.00516i) q^{59} +(1.89602 + 2.00604i) q^{60} +(-0.528935 - 1.97401i) q^{61} +(3.82804 + 7.10415i) q^{62} +(-13.0301 + 0.796606i) q^{63} +(-7.87620 - 1.40197i) q^{64} +(-1.21287 - 0.700250i) q^{65} +(-2.57461 + 9.65378i) q^{66} +(-2.14659 + 8.01120i) q^{67} +(-0.784830 + 13.3506i) q^{68} +(7.76019 - 0.236992i) q^{69} +(3.36407 + 3.56764i) q^{70} -8.05218i q^{71} +(7.46040 - 4.04258i) q^{72} +9.73126i q^{73} +(2.20690 - 2.08098i) q^{74} +(-3.97837 - 6.42917i) q^{75} +(1.33099 + 1.49725i) q^{76} +(-4.59383 + 17.1444i) q^{77} +(-3.04070 + 3.04783i) q^{78} +(-11.9835 - 6.91865i) q^{79} +(-2.96082 - 1.17997i) q^{80} +(-3.51702 + 8.28436i) q^{81} +(3.39603 - 1.82994i) q^{82} +(0.817277 + 3.05012i) q^{83} +(13.2617 - 7.16605i) q^{84} +(-1.37904 + 5.14666i) q^{85} +(-12.2589 + 2.90190i) q^{86} +(-6.96385 - 1.63987i) q^{87} +(-1.99414 - 11.3632i) q^{88} -1.71120 q^{89} +(3.23606 - 0.978030i) q^{90} +(-5.40809 + 5.40809i) q^{91} +(-8.01348 + 4.01910i) q^{92} +(9.87893 - 0.301697i) q^{93} +(-2.96446 - 1.82962i) q^{94} +(0.399073 + 0.691214i) q^{95} +(-5.85024 + 7.85969i) q^{96} +(3.66561 - 6.34903i) q^{97} +(14.8592 - 8.00683i) q^{98} +(9.16451 + 8.10851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0415142 + 1.41360i −0.0293550 + 0.999569i
\(3\) 1.52574 + 0.819834i 0.880884 + 0.473331i
\(4\) −1.99655 0.117369i −0.998277 0.0586847i
\(5\) −0.769670 0.206232i −0.344207 0.0922300i 0.0825742 0.996585i \(-0.473686\pi\)
−0.426781 + 0.904355i \(0.640353\pi\)
\(6\) −1.22226 + 2.12275i −0.498986 + 0.866610i
\(7\) −2.17574 + 3.76849i −0.822352 + 1.42436i 0.0815745 + 0.996667i \(0.474005\pi\)
−0.903926 + 0.427688i \(0.859328\pi\)
\(8\) 0.248799 2.81746i 0.0879638 0.996124i
\(9\) 1.65574 + 2.50170i 0.551915 + 0.833901i
\(10\) 0.323483 1.07945i 0.102294 0.341351i
\(11\) 3.93991 1.05570i 1.18793 0.318304i 0.389861 0.920874i \(-0.372523\pi\)
0.798066 + 0.602570i \(0.205856\pi\)
\(12\) −2.94999 1.81592i −0.851589 0.524210i
\(13\) 1.69772 + 0.454903i 0.470863 + 0.126167i 0.486445 0.873711i \(-0.338293\pi\)
−0.0155820 + 0.999879i \(0.504960\pi\)
\(14\) −5.23683 3.23208i −1.39960 0.863809i
\(15\) −1.00524 0.945658i −0.259551 0.244168i
\(16\) 3.97245 + 0.468669i 0.993112 + 0.117167i
\(17\) 6.68683i 1.62180i −0.585188 0.810898i \(-0.698979\pi\)
0.585188 0.810898i \(-0.301021\pi\)
\(18\) −3.60515 + 2.23671i −0.849743 + 0.527198i
\(19\) −0.708282 0.708282i −0.162491 0.162491i 0.621178 0.783669i \(-0.286654\pi\)
−0.783669 + 0.621178i \(0.786654\pi\)
\(20\) 1.51248 + 0.502090i 0.338201 + 0.112271i
\(21\) −6.40914 + 3.96598i −1.39859 + 0.865447i
\(22\) 1.32877 + 5.61330i 0.283295 + 1.19676i
\(23\) 3.88191 2.24122i 0.809433 0.467327i −0.0373258 0.999303i \(-0.511884\pi\)
0.846759 + 0.531977i \(0.178551\pi\)
\(24\) 2.68945 4.09473i 0.548983 0.835834i
\(25\) −3.78027 2.18254i −0.756053 0.436508i
\(26\) −0.713532 + 2.38102i −0.139935 + 0.466956i
\(27\) 0.475249 + 5.17437i 0.0914618 + 0.995809i
\(28\) 4.78628 7.26863i 0.904523 1.37364i
\(29\) −3.98981 + 1.06907i −0.740888 + 0.198520i −0.609473 0.792807i \(-0.708619\pi\)
−0.131415 + 0.991327i \(0.541952\pi\)
\(30\) 1.37852 1.38175i 0.251682 0.252272i
\(31\) 4.94177 2.85313i 0.887568 0.512437i 0.0144215 0.999896i \(-0.495409\pi\)
0.873146 + 0.487459i \(0.162076\pi\)
\(32\) −0.827425 + 5.59601i −0.146269 + 0.989245i
\(33\) 6.87676 + 1.61936i 1.19709 + 0.281894i
\(34\) 9.45254 + 0.277599i 1.62110 + 0.0476078i
\(35\) 2.45179 2.45179i 0.414427 0.414427i
\(36\) −3.01216 5.18911i −0.502026 0.864852i
\(37\) −1.51665 1.51665i −0.249335 0.249335i 0.571363 0.820698i \(-0.306415\pi\)
−0.820698 + 0.571363i \(0.806415\pi\)
\(38\) 1.03063 0.971827i 0.167191 0.157651i
\(39\) 2.21733 + 2.08591i 0.355057 + 0.334013i
\(40\) −0.772546 + 2.11721i −0.122150 + 0.334760i
\(41\) −1.36389 2.36233i −0.213005 0.368935i 0.739649 0.672993i \(-0.234992\pi\)
−0.952653 + 0.304058i \(0.901658\pi\)
\(42\) −5.34025 9.22463i −0.824019 1.42339i
\(43\) 2.30553 + 8.60436i 0.351590 + 1.31215i 0.884722 + 0.466120i \(0.154348\pi\)
−0.533131 + 0.846033i \(0.678985\pi\)
\(44\) −7.99014 + 1.64533i −1.20456 + 0.248042i
\(45\) −0.758445 2.26695i −0.113062 0.337937i
\(46\) 3.00704 + 5.58052i 0.443364 + 0.822803i
\(47\) −1.23164 + 2.13327i −0.179654 + 0.311169i −0.941762 0.336280i \(-0.890831\pi\)
0.762108 + 0.647449i \(0.224164\pi\)
\(48\) 5.67668 + 3.97181i 0.819358 + 0.573282i
\(49\) −5.96768 10.3363i −0.852525 1.47662i
\(50\) 3.24218 5.25319i 0.458513 0.742914i
\(51\) 5.48209 10.2023i 0.767647 1.42861i
\(52\) −3.33620 1.10750i −0.462647 0.153582i
\(53\) −1.68291 + 1.68291i −0.231165 + 0.231165i −0.813179 0.582014i \(-0.802265\pi\)
0.582014 + 0.813179i \(0.302265\pi\)
\(54\) −7.33424 + 0.457004i −0.998064 + 0.0621904i
\(55\) −3.25015 −0.438250
\(56\) 10.0763 + 7.06766i 1.34650 + 0.944456i
\(57\) −0.499978 1.66133i −0.0662237 0.220048i
\(58\) −1.34560 5.68439i −0.176686 0.746397i
\(59\) −0.269331 + 1.00516i −0.0350640 + 0.130860i −0.981239 0.192794i \(-0.938245\pi\)
0.946175 + 0.323655i \(0.104912\pi\)
\(60\) 1.89602 + 2.00604i 0.244775 + 0.258979i
\(61\) −0.528935 1.97401i −0.0677232 0.252747i 0.923762 0.382968i \(-0.125098\pi\)
−0.991485 + 0.130221i \(0.958431\pi\)
\(62\) 3.82804 + 7.10415i 0.486162 + 0.902228i
\(63\) −13.0301 + 0.796606i −1.64164 + 0.100363i
\(64\) −7.87620 1.40197i −0.984525 0.175246i
\(65\) −1.21287 0.700250i −0.150438 0.0868553i
\(66\) −2.57461 + 9.65378i −0.316913 + 1.18830i
\(67\) −2.14659 + 8.01120i −0.262248 + 0.978723i 0.701665 + 0.712507i \(0.252440\pi\)
−0.963913 + 0.266217i \(0.914226\pi\)
\(68\) −0.784830 + 13.3506i −0.0951746 + 1.61900i
\(69\) 7.76019 0.236992i 0.934217 0.0285305i
\(70\) 3.36407 + 3.56764i 0.402083 + 0.426414i
\(71\) 8.05218i 0.955618i −0.878464 0.477809i \(-0.841431\pi\)
0.878464 0.477809i \(-0.158569\pi\)
\(72\) 7.46040 4.04258i 0.879217 0.476422i
\(73\) 9.73126i 1.13896i 0.822006 + 0.569479i \(0.192855\pi\)
−0.822006 + 0.569479i \(0.807145\pi\)
\(74\) 2.20690 2.08098i 0.256547 0.241908i
\(75\) −3.97837 6.42917i −0.459383 0.742377i
\(76\) 1.33099 + 1.49725i 0.152675 + 0.171747i
\(77\) −4.59383 + 17.1444i −0.523516 + 1.95379i
\(78\) −3.04070 + 3.04783i −0.344292 + 0.345099i
\(79\) −11.9835 6.91865i −1.34824 0.778409i −0.360243 0.932858i \(-0.617306\pi\)
−0.988001 + 0.154449i \(0.950640\pi\)
\(80\) −2.96082 1.17997i −0.331030 0.131924i
\(81\) −3.51702 + 8.28436i −0.390780 + 0.920484i
\(82\) 3.39603 1.82994i 0.375028 0.202083i
\(83\) 0.817277 + 3.05012i 0.0897078 + 0.334794i 0.996164 0.0875058i \(-0.0278896\pi\)
−0.906456 + 0.422300i \(0.861223\pi\)
\(84\) 13.2617 7.16605i 1.44697 0.781880i
\(85\) −1.37904 + 5.14666i −0.149578 + 0.558233i
\(86\) −12.2589 + 2.90190i −1.32191 + 0.312920i
\(87\) −6.96385 1.63987i −0.746603 0.175812i
\(88\) −1.99414 11.3632i −0.212576 1.21132i
\(89\) −1.71120 −0.181386 −0.0906932 0.995879i \(-0.528908\pi\)
−0.0906932 + 0.995879i \(0.528908\pi\)
\(90\) 3.23606 0.978030i 0.341111 0.103093i
\(91\) −5.40809 + 5.40809i −0.566922 + 0.566922i
\(92\) −8.01348 + 4.01910i −0.835463 + 0.419020i
\(93\) 9.87893 0.301697i 1.02440 0.0312845i
\(94\) −2.96446 1.82962i −0.305761 0.188710i
\(95\) 0.399073 + 0.691214i 0.0409440 + 0.0709171i
\(96\) −5.85024 + 7.85969i −0.597087 + 0.802176i
\(97\) 3.66561 6.34903i 0.372187 0.644646i −0.617715 0.786402i \(-0.711941\pi\)
0.989902 + 0.141756i \(0.0452748\pi\)
\(98\) 14.8592 8.00683i 1.50101 0.808812i
\(99\) 9.16451 + 8.10851i 0.921068 + 0.814936i
\(100\) 7.29134 + 4.80124i 0.729134 + 0.480124i
\(101\) −3.75813 14.0255i −0.373948 1.39559i −0.854876 0.518833i \(-0.826367\pi\)
0.480928 0.876760i \(-0.340300\pi\)
\(102\) 14.1945 + 8.17305i 1.40546 + 0.809253i
\(103\) −7.43866 12.8841i −0.732953 1.26951i −0.955616 0.294616i \(-0.904808\pi\)
0.222663 0.974895i \(-0.428525\pi\)
\(104\) 1.70406 4.67009i 0.167097 0.457940i
\(105\) 5.75084 1.73072i 0.561224 0.168901i
\(106\) −2.30910 2.44883i −0.224280 0.237851i
\(107\) 0.0974799 + 0.0974799i 0.00942374 + 0.00942374i 0.711803 0.702379i \(-0.247879\pi\)
−0.702379 + 0.711803i \(0.747879\pi\)
\(108\) −0.341547 10.3867i −0.0328654 0.999460i
\(109\) 8.80665 8.80665i 0.843524 0.843524i −0.145791 0.989315i \(-0.546573\pi\)
0.989315 + 0.145791i \(0.0465728\pi\)
\(110\) 0.134927 4.59442i 0.0128648 0.438061i
\(111\) −1.07060 3.55740i −0.101617 0.337654i
\(112\) −10.4092 + 13.9504i −0.983575 + 1.31819i
\(113\) 7.22037 4.16868i 0.679235 0.392157i −0.120331 0.992734i \(-0.538396\pi\)
0.799567 + 0.600577i \(0.205062\pi\)
\(114\) 2.36921 0.637802i 0.221897 0.0597357i
\(115\) −3.45000 + 0.924424i −0.321714 + 0.0862030i
\(116\) 8.09133 1.66616i 0.751262 0.154699i
\(117\) 1.67296 + 5.00039i 0.154665 + 0.462286i
\(118\) −1.40971 0.422456i −0.129775 0.0388903i
\(119\) 25.1993 + 14.5488i 2.31001 + 1.33369i
\(120\) −2.91446 + 2.59694i −0.266052 + 0.237067i
\(121\) 4.88210 2.81868i 0.443827 0.256244i
\(122\) 2.81243 0.665756i 0.254626 0.0602747i
\(123\) −0.144221 4.72247i −0.0130040 0.425811i
\(124\) −10.2014 + 5.11641i −0.916110 + 0.459468i
\(125\) 5.27664 + 5.27664i 0.471957 + 0.471957i
\(126\) −0.585151 18.4525i −0.0521294 1.64388i
\(127\) 4.84829i 0.430216i 0.976590 + 0.215108i \(0.0690103\pi\)
−0.976590 + 0.215108i \(0.930990\pi\)
\(128\) 2.30880 11.0756i 0.204071 0.978956i
\(129\) −3.53651 + 15.0181i −0.311373 + 1.32227i
\(130\) 1.04023 1.68545i 0.0912340 0.147823i
\(131\) −20.4961 5.49193i −1.79076 0.479832i −0.798282 0.602284i \(-0.794258\pi\)
−0.992474 + 0.122452i \(0.960924\pi\)
\(132\) −13.5397 4.04025i −1.17848 0.351659i
\(133\) 4.21019 1.12812i 0.365070 0.0978201i
\(134\) −11.2355 3.36701i −0.970603 0.290866i
\(135\) 0.701338 4.08057i 0.0603616 0.351200i
\(136\) −18.8399 1.66368i −1.61551 0.142659i
\(137\) 2.93860 5.08981i 0.251062 0.434852i −0.712757 0.701411i \(-0.752554\pi\)
0.963818 + 0.266560i \(0.0858869\pi\)
\(138\) 0.0128540 + 10.9797i 0.00109420 + 0.934652i
\(139\) 6.97384 + 1.86863i 0.591513 + 0.158496i 0.542145 0.840285i \(-0.317612\pi\)
0.0493686 + 0.998781i \(0.484279\pi\)
\(140\) −5.18288 + 4.60736i −0.438034 + 0.389393i
\(141\) −3.62809 + 2.24506i −0.305540 + 0.189068i
\(142\) 11.3826 + 0.334280i 0.955206 + 0.0280522i
\(143\) 7.16910 0.599510
\(144\) 5.40489 + 10.7139i 0.450408 + 0.892823i
\(145\) 3.29131 0.273328
\(146\) −13.7562 0.403986i −1.13847 0.0334341i
\(147\) −0.631036 20.6630i −0.0520470 1.70426i
\(148\) 2.85006 + 3.20607i 0.234273 + 0.263538i
\(149\) 4.34504 + 1.16425i 0.355960 + 0.0953792i 0.432367 0.901698i \(-0.357678\pi\)
−0.0764076 + 0.997077i \(0.524345\pi\)
\(150\) 9.25346 5.35694i 0.755542 0.437392i
\(151\) −4.23499 + 7.33521i −0.344638 + 0.596931i −0.985288 0.170902i \(-0.945332\pi\)
0.640650 + 0.767833i \(0.278665\pi\)
\(152\) −2.17178 + 1.81934i −0.176154 + 0.147568i
\(153\) 16.7285 11.0717i 1.35242 0.895093i
\(154\) −24.0447 7.20560i −1.93758 0.580644i
\(155\) −4.39194 + 1.17682i −0.352769 + 0.0945241i
\(156\) −4.18219 4.42488i −0.334843 0.354274i
\(157\) 16.3507 + 4.38117i 1.30493 + 0.349655i 0.843313 0.537423i \(-0.180602\pi\)
0.461618 + 0.887079i \(0.347269\pi\)
\(158\) 10.2777 16.6526i 0.817651 1.32481i
\(159\) −3.94738 + 1.18797i −0.313048 + 0.0942121i
\(160\) 1.79092 4.13644i 0.141585 0.327014i
\(161\) 19.5052i 1.53723i
\(162\) −11.5648 5.31560i −0.908616 0.417633i
\(163\) 13.6982 + 13.6982i 1.07293 + 1.07293i 0.997123 + 0.0758059i \(0.0241529\pi\)
0.0758059 + 0.997123i \(0.475847\pi\)
\(164\) 2.44582 + 4.87661i 0.190987 + 0.380799i
\(165\) −4.95887 2.66458i −0.386047 0.207437i
\(166\) −4.34559 + 1.02868i −0.337283 + 0.0798412i
\(167\) −7.11859 + 4.10992i −0.550853 + 0.318035i −0.749466 0.662043i \(-0.769690\pi\)
0.198613 + 0.980078i \(0.436356\pi\)
\(168\) 9.57941 + 19.0442i 0.739067 + 1.46930i
\(169\) −8.58301 4.95540i −0.660232 0.381185i
\(170\) −7.21808 2.16308i −0.553602 0.165901i
\(171\) 0.599176 2.94464i 0.0458202 0.225183i
\(172\) −3.59323 17.4497i −0.273981 1.33052i
\(173\) −9.41440 + 2.52258i −0.715764 + 0.191788i −0.598281 0.801287i \(-0.704149\pi\)
−0.117483 + 0.993075i \(0.537483\pi\)
\(174\) 2.60722 9.77605i 0.197653 0.741120i
\(175\) 16.4497 9.49727i 1.24348 0.717926i
\(176\) 16.1459 2.34718i 1.21704 0.176926i
\(177\) −1.23499 + 1.31280i −0.0928277 + 0.0986761i
\(178\) 0.0710390 2.41895i 0.00532460 0.181308i
\(179\) −2.59887 + 2.59887i −0.194248 + 0.194248i −0.797529 0.603281i \(-0.793860\pi\)
0.603281 + 0.797529i \(0.293860\pi\)
\(180\) 1.24820 + 4.61511i 0.0930356 + 0.343990i
\(181\) 6.92926 + 6.92926i 0.515048 + 0.515048i 0.916069 0.401021i \(-0.131345\pi\)
−0.401021 + 0.916069i \(0.631345\pi\)
\(182\) −7.42039 7.86941i −0.550036 0.583320i
\(183\) 0.811348 3.44546i 0.0599765 0.254696i
\(184\) −5.34874 11.4947i −0.394314 0.847403i
\(185\) 0.854536 + 1.48010i 0.0628267 + 0.108819i
\(186\) 0.0163635 + 13.9774i 0.00119983 + 1.02487i
\(187\) −7.05926 26.3455i −0.516224 1.92657i
\(188\) 2.70942 4.11462i 0.197605 0.300090i
\(189\) −20.5336 9.46711i −1.49360 0.688631i
\(190\) −0.993670 + 0.535435i −0.0720884 + 0.0388446i
\(191\) −6.96728 + 12.0677i −0.504135 + 0.873187i 0.495854 + 0.868406i \(0.334855\pi\)
−0.999989 + 0.00478132i \(0.998478\pi\)
\(192\) −10.8676 8.59621i −0.784303 0.620378i
\(193\) −1.34094 2.32257i −0.0965226 0.167182i 0.813720 0.581256i \(-0.197439\pi\)
−0.910243 + 0.414074i \(0.864105\pi\)
\(194\) 8.82284 + 5.44530i 0.633443 + 0.390950i
\(195\) −1.27643 2.06275i −0.0914070 0.147716i
\(196\) 10.7016 + 21.3374i 0.764401 + 1.52410i
\(197\) −14.2363 + 14.2363i −1.01430 + 1.01430i −0.0144009 + 0.999896i \(0.504584\pi\)
−0.999896 + 0.0144009i \(0.995416\pi\)
\(198\) −11.8427 + 12.6184i −0.841623 + 0.896749i
\(199\) 7.90078 0.560072 0.280036 0.959990i \(-0.409654\pi\)
0.280036 + 0.959990i \(0.409654\pi\)
\(200\) −7.08975 + 10.1077i −0.501321 + 0.714726i
\(201\) −9.84299 + 10.4631i −0.694271 + 0.738012i
\(202\) 19.9826 4.73025i 1.40597 0.332819i
\(203\) 4.65201 17.3615i 0.326507 1.21854i
\(204\) −12.1427 + 19.7261i −0.850162 + 1.38110i
\(205\) 0.562559 + 2.09950i 0.0392908 + 0.146635i
\(206\) 18.5219 9.98044i 1.29048 0.695370i
\(207\) 12.0343 + 6.00048i 0.836442 + 0.417062i
\(208\) 6.53091 + 2.60275i 0.452837 + 0.180468i
\(209\) −3.53830 2.04284i −0.244749 0.141306i
\(210\) 2.20781 + 8.20126i 0.152354 + 0.565940i
\(211\) −3.53982 + 13.2108i −0.243691 + 0.909469i 0.730345 + 0.683078i \(0.239359\pi\)
−0.974037 + 0.226391i \(0.927307\pi\)
\(212\) 3.55754 3.16249i 0.244333 0.217201i
\(213\) 6.60145 12.2855i 0.452324 0.841789i
\(214\) −0.141845 + 0.133751i −0.00969631 + 0.00914305i
\(215\) 7.09799i 0.484079i
\(216\) 14.6968 0.0516173i 0.999994 0.00351211i
\(217\) 24.8307i 1.68562i
\(218\) 12.0835 + 12.8147i 0.818399 + 0.867922i
\(219\) −7.97802 + 14.8473i −0.539105 + 1.00329i
\(220\) 6.48909 + 0.381468i 0.437494 + 0.0257186i
\(221\) 3.04186 11.3524i 0.204618 0.763643i
\(222\) 5.07320 1.36573i 0.340491 0.0916617i
\(223\) 24.3372 + 14.0511i 1.62974 + 0.940931i 0.984169 + 0.177230i \(0.0567136\pi\)
0.645570 + 0.763701i \(0.276620\pi\)
\(224\) −19.2883 15.2936i −1.28875 1.02185i
\(225\) −0.799096 13.0708i −0.0532731 0.871388i
\(226\) 5.59312 + 10.3798i 0.372049 + 0.690454i
\(227\) 0.131295 + 0.489998i 0.00871433 + 0.0325223i 0.970146 0.242521i \(-0.0779744\pi\)
−0.961432 + 0.275044i \(0.911308\pi\)
\(228\) 0.803244 + 3.37561i 0.0531961 + 0.223555i
\(229\) 3.91690 14.6181i 0.258836 0.965988i −0.707080 0.707133i \(-0.749988\pi\)
0.965916 0.258855i \(-0.0833452\pi\)
\(230\) −1.16355 4.91531i −0.0767219 0.324106i
\(231\) −21.0646 + 22.3917i −1.38595 + 1.47326i
\(232\) 2.01939 + 11.5071i 0.132580 + 0.755479i
\(233\) −15.4968 −1.01523 −0.507614 0.861584i \(-0.669473\pi\)
−0.507614 + 0.861584i \(0.669473\pi\)
\(234\) −7.13803 + 2.15732i −0.466627 + 0.141028i
\(235\) 1.38791 1.38791i 0.0905371 0.0905371i
\(236\) 0.655709 1.97524i 0.0426830 0.128577i
\(237\) −12.6114 20.3805i −0.819202 1.32385i
\(238\) −21.6124 + 35.0178i −1.40092 + 2.26987i
\(239\) 7.61709 + 13.1932i 0.492709 + 0.853397i 0.999965 0.00839869i \(-0.00267342\pi\)
−0.507256 + 0.861796i \(0.669340\pi\)
\(240\) −3.55005 4.22770i −0.229155 0.272897i
\(241\) −9.10697 + 15.7737i −0.586632 + 1.01608i 0.408038 + 0.912965i \(0.366213\pi\)
−0.994670 + 0.103111i \(0.967120\pi\)
\(242\) 3.78182 + 7.01837i 0.243105 + 0.451158i
\(243\) −12.1578 + 9.75637i −0.779926 + 0.625871i
\(244\) 0.824359 + 4.00330i 0.0527742 + 0.256285i
\(245\) 2.46146 + 9.18628i 0.157257 + 0.586890i
\(246\) 6.68169 0.00782230i 0.426009 0.000498732i
\(247\) −0.880265 1.52466i −0.0560099 0.0970121i
\(248\) −6.80908 14.6331i −0.432377 0.929203i
\(249\) −1.25364 + 5.32371i −0.0794463 + 0.337376i
\(250\) −7.67813 + 7.24002i −0.485608 + 0.457899i
\(251\) −2.18418 2.18418i −0.137864 0.137864i 0.634807 0.772671i \(-0.281080\pi\)
−0.772671 + 0.634807i \(0.781080\pi\)
\(252\) 26.1088 0.0611316i 1.64470 0.00385093i
\(253\) 12.9283 12.9283i 0.812796 0.812796i
\(254\) −6.85356 0.201273i −0.430030 0.0126290i
\(255\) −6.32346 + 6.72185i −0.395990 + 0.420939i
\(256\) 15.5607 + 3.72352i 0.972544 + 0.232720i
\(257\) 16.6777 9.62887i 1.04033 0.600633i 0.120400 0.992725i \(-0.461582\pi\)
0.919926 + 0.392093i \(0.128249\pi\)
\(258\) −21.0829 5.62270i −1.31256 0.350054i
\(259\) 9.01529 2.41564i 0.560183 0.150101i
\(260\) 2.33937 + 1.54044i 0.145081 + 0.0955340i
\(261\) −9.28058 8.21121i −0.574453 0.508261i
\(262\) 8.61429 28.7454i 0.532193 1.77590i
\(263\) −22.8254 13.1782i −1.40747 0.812605i −0.412329 0.911035i \(-0.635285\pi\)
−0.995144 + 0.0984300i \(0.968618\pi\)
\(264\) 6.27341 18.9721i 0.386102 1.16765i
\(265\) 1.64235 0.948214i 0.100889 0.0582483i
\(266\) 1.41993 + 5.99837i 0.0870614 + 0.367784i
\(267\) −2.61083 1.40290i −0.159781 0.0858559i
\(268\) 5.22606 15.7428i 0.319232 0.961647i
\(269\) 0.605506 + 0.605506i 0.0369184 + 0.0369184i 0.725325 0.688407i \(-0.241690\pi\)
−0.688407 + 0.725325i \(0.741690\pi\)
\(270\) 5.73920 + 1.16082i 0.349276 + 0.0706451i
\(271\) 19.1084i 1.16075i −0.814349 0.580376i \(-0.802906\pi\)
0.814349 0.580376i \(-0.197094\pi\)
\(272\) 3.13391 26.5631i 0.190021 1.61062i
\(273\) −12.6851 + 3.81759i −0.767735 + 0.231051i
\(274\) 7.07298 + 4.36532i 0.427295 + 0.263719i
\(275\) −17.1980 4.60819i −1.03708 0.277884i
\(276\) −15.5215 0.437643i −0.934282 0.0263430i
\(277\) 6.82191 1.82792i 0.409889 0.109829i −0.0479819 0.998848i \(-0.515279\pi\)
0.457871 + 0.889019i \(0.348612\pi\)
\(278\) −2.93102 + 9.78067i −0.175791 + 0.586606i
\(279\) 15.3200 + 7.63877i 0.917183 + 0.457321i
\(280\) −6.29781 7.51782i −0.376366 0.449276i
\(281\) 11.8490 20.5230i 0.706849 1.22430i −0.259171 0.965831i \(-0.583449\pi\)
0.966020 0.258467i \(-0.0832174\pi\)
\(282\) −3.02301 5.22188i −0.180018 0.310958i
\(283\) 0.727099 + 0.194826i 0.0432215 + 0.0115812i 0.280365 0.959893i \(-0.409544\pi\)
−0.237143 + 0.971475i \(0.576211\pi\)
\(284\) −0.945079 + 16.0766i −0.0560801 + 0.953971i
\(285\) 0.0421989 + 1.38178i 0.00249965 + 0.0818498i
\(286\) −0.297620 + 10.1343i −0.0175986 + 0.599252i
\(287\) 11.8699 0.700659
\(288\) −15.3696 + 7.19560i −0.905660 + 0.424005i
\(289\) −27.7137 −1.63022
\(290\) −0.136636 + 4.65261i −0.00802356 + 0.273211i
\(291\) 10.7979 6.68175i 0.632985 0.391691i
\(292\) 1.14215 19.4290i 0.0668394 1.13699i
\(293\) 19.8198 + 5.31070i 1.15789 + 0.310255i 0.786121 0.618072i \(-0.212086\pi\)
0.371765 + 0.928327i \(0.378753\pi\)
\(294\) 29.2355 0.0342262i 1.70505 0.00199611i
\(295\) 0.414592 0.718095i 0.0241385 0.0418091i
\(296\) −4.65044 + 3.89576i −0.270301 + 0.226436i
\(297\) 7.33500 + 19.8848i 0.425620 + 1.15384i
\(298\) −1.82617 + 6.09384i −0.105787 + 0.353007i
\(299\) 7.60993 2.03907i 0.440093 0.117923i
\(300\) 7.18844 + 13.3031i 0.415025 + 0.768056i
\(301\) −37.4417 10.0325i −2.15810 0.578262i
\(302\) −10.1933 6.29111i −0.586557 0.362013i
\(303\) 5.76469 24.4803i 0.331173 1.40636i
\(304\) −2.48166 3.14556i −0.142333 0.180410i
\(305\) 1.62842i 0.0932432i
\(306\) 14.9565 + 24.1071i 0.855007 + 1.37811i
\(307\) −15.3450 15.3450i −0.875783 0.875783i 0.117312 0.993095i \(-0.462572\pi\)
−0.993095 + 0.117312i \(0.962572\pi\)
\(308\) 11.1841 33.6906i 0.637271 1.91970i
\(309\) −0.786581 25.7563i −0.0447470 1.46522i
\(310\) −1.48122 6.25732i −0.0841279 0.355392i
\(311\) 0.576605 0.332903i 0.0326963 0.0188772i −0.483563 0.875310i \(-0.660658\pi\)
0.516259 + 0.856432i \(0.327324\pi\)
\(312\) 6.42865 5.72827i 0.363950 0.324299i
\(313\) −14.3283 8.27244i −0.809882 0.467586i 0.0370327 0.999314i \(-0.488209\pi\)
−0.846915 + 0.531728i \(0.821543\pi\)
\(314\) −6.87202 + 22.9316i −0.387811 + 1.29410i
\(315\) 10.1932 + 2.07411i 0.574320 + 0.116863i
\(316\) 23.1136 + 15.2199i 1.30024 + 0.856189i
\(317\) −6.56570 + 1.75927i −0.368767 + 0.0988107i −0.438443 0.898759i \(-0.644470\pi\)
0.0696766 + 0.997570i \(0.477803\pi\)
\(318\) −1.51545 5.62935i −0.0849820 0.315678i
\(319\) −14.5909 + 8.42404i −0.816931 + 0.471656i
\(320\) 5.77294 + 2.70338i 0.322717 + 0.151123i
\(321\) 0.0688113 + 0.228646i 0.00384067 + 0.0127618i
\(322\) −27.5727 0.809745i −1.53656 0.0451253i
\(323\) −4.73616 + 4.73616i −0.263527 + 0.263527i
\(324\) 7.99425 16.1274i 0.444125 0.895965i
\(325\) −5.42499 5.42499i −0.300924 0.300924i
\(326\) −19.9326 + 18.7952i −1.10396 + 1.04097i
\(327\) 20.6566 6.21664i 1.14231 0.343781i
\(328\) −6.99513 + 3.25498i −0.386241 + 0.179726i
\(329\) −5.35946 9.28286i −0.295477 0.511781i
\(330\) 3.97253 6.89926i 0.218680 0.379792i
\(331\) −2.51757 9.39568i −0.138378 0.516434i −0.999961 0.00881711i \(-0.997193\pi\)
0.861583 0.507616i \(-0.169473\pi\)
\(332\) −1.27375 6.18565i −0.0699059 0.339481i
\(333\) 1.28302 6.30538i 0.0703090 0.345532i
\(334\) −5.51427 10.2335i −0.301728 0.559951i
\(335\) 3.30434 5.72328i 0.180535 0.312696i
\(336\) −27.3187 + 12.7509i −1.49036 + 0.695618i
\(337\) 13.5580 + 23.4832i 0.738553 + 1.27921i 0.953147 + 0.302509i \(0.0978241\pi\)
−0.214593 + 0.976704i \(0.568843\pi\)
\(338\) 7.36130 11.9273i 0.400402 0.648758i
\(339\) 14.4340 0.440806i 0.783948 0.0239413i
\(340\) 3.35739 10.1137i 0.182080 0.548493i
\(341\) 16.4581 16.4581i 0.891254 0.891254i
\(342\) 4.13769 + 0.969243i 0.223740 + 0.0524106i
\(343\) 21.4761 1.15960
\(344\) 24.8161 4.35499i 1.33799 0.234805i
\(345\) −6.02166 1.41800i −0.324195 0.0763425i
\(346\) −3.17510 13.4130i −0.170694 0.721085i
\(347\) −8.08347 + 30.1679i −0.433944 + 1.61950i 0.309638 + 0.950854i \(0.399792\pi\)
−0.743582 + 0.668645i \(0.766875\pi\)
\(348\) 13.7112 + 4.09142i 0.734999 + 0.219323i
\(349\) 8.48634 + 31.6714i 0.454263 + 1.69533i 0.690245 + 0.723576i \(0.257503\pi\)
−0.235982 + 0.971757i \(0.575831\pi\)
\(350\) 12.7425 + 23.6477i 0.681114 + 1.26402i
\(351\) −1.54700 + 9.00083i −0.0825726 + 0.480429i
\(352\) 2.64771 + 22.9213i 0.141123 + 1.22171i
\(353\) −3.48989 2.01489i −0.185748 0.107242i 0.404243 0.914652i \(-0.367535\pi\)
−0.589990 + 0.807410i \(0.700869\pi\)
\(354\) −1.80451 1.80029i −0.0959086 0.0956843i
\(355\) −1.66062 + 6.19752i −0.0881366 + 0.328930i
\(356\) 3.41649 + 0.200842i 0.181074 + 0.0106446i
\(357\) 26.5198 + 42.8569i 1.40358 + 2.26823i
\(358\) −3.56588 3.78166i −0.188463 0.199867i
\(359\) 14.8043i 0.781342i 0.920530 + 0.390671i \(0.127757\pi\)
−0.920530 + 0.390671i \(0.872243\pi\)
\(360\) −6.57576 + 1.57287i −0.346573 + 0.0828977i
\(361\) 17.9967i 0.947193i
\(362\) −10.0829 + 9.50757i −0.529945 + 0.499707i
\(363\) 9.75965 0.298054i 0.512249 0.0156438i
\(364\) 11.4323 10.1628i 0.599215 0.532675i
\(365\) 2.00690 7.48986i 0.105046 0.392037i
\(366\) 4.83684 + 1.28996i 0.252826 + 0.0674273i
\(367\) 2.66934 + 1.54114i 0.139338 + 0.0804470i 0.568049 0.822995i \(-0.307699\pi\)
−0.428710 + 0.903442i \(0.641032\pi\)
\(368\) 16.4711 7.08380i 0.858613 0.369269i
\(369\) 3.65160 7.32348i 0.190094 0.381245i
\(370\) −2.12775 + 1.14653i −0.110616 + 0.0596052i
\(371\) −2.68045 10.0036i −0.139162 0.519361i
\(372\) −19.7592 0.557130i −1.02447 0.0288859i
\(373\) −7.57804 + 28.2816i −0.392376 + 1.46437i 0.433828 + 0.900996i \(0.357163\pi\)
−0.826204 + 0.563372i \(0.809504\pi\)
\(374\) 37.5352 8.88528i 1.94090 0.459447i
\(375\) 3.72479 + 12.3767i 0.192347 + 0.639131i
\(376\) 5.70397 + 4.00086i 0.294160 + 0.206329i
\(377\) −7.25990 −0.373904
\(378\) 14.2352 28.6333i 0.732179 1.47274i
\(379\) −13.0654 + 13.0654i −0.671124 + 0.671124i −0.957975 0.286851i \(-0.907392\pi\)
0.286851 + 0.957975i \(0.407392\pi\)
\(380\) −0.715642 1.42688i −0.0367117 0.0731976i
\(381\) −3.97479 + 7.39721i −0.203635 + 0.378970i
\(382\) −16.7697 10.3500i −0.858012 0.529550i
\(383\) −1.66394 2.88203i −0.0850235 0.147265i 0.820378 0.571822i \(-0.193763\pi\)
−0.905401 + 0.424557i \(0.860430\pi\)
\(384\) 12.6028 15.0057i 0.643134 0.765754i
\(385\) 7.07147 12.2481i 0.360396 0.624223i
\(386\) 3.33886 1.79913i 0.169943 0.0915734i
\(387\) −17.7082 + 20.0144i −0.900157 + 1.01739i
\(388\) −8.06378 + 12.2459i −0.409376 + 0.621694i
\(389\) −1.77451 6.62255i −0.0899711 0.335777i 0.906238 0.422768i \(-0.138941\pi\)
−0.996209 + 0.0869912i \(0.972275\pi\)
\(390\) 2.96890 1.71873i 0.150336 0.0870314i
\(391\) −14.9867 25.9577i −0.757908 1.31274i
\(392\) −30.6070 + 14.2420i −1.54588 + 0.719332i
\(393\) −26.7693 25.1827i −1.35033 1.27030i
\(394\) −19.5335 20.7156i −0.984085 1.04363i
\(395\) 7.79645 + 7.79645i 0.392282 + 0.392282i
\(396\) −17.3457 17.2647i −0.871657 0.867584i
\(397\) 2.33820 2.33820i 0.117351 0.117351i −0.645993 0.763344i \(-0.723556\pi\)
0.763344 + 0.645993i \(0.223556\pi\)
\(398\) −0.327995 + 11.1686i −0.0164409 + 0.559830i
\(399\) 7.34851 + 1.73045i 0.367886 + 0.0866307i
\(400\) −13.9940 10.4417i −0.699702 0.522086i
\(401\) 3.32787 1.92135i 0.166186 0.0959474i −0.414600 0.910004i \(-0.636079\pi\)
0.580786 + 0.814056i \(0.302745\pi\)
\(402\) −14.3821 14.3485i −0.717314 0.715636i
\(403\) 9.68764 2.59579i 0.482575 0.129306i
\(404\) 5.85714 + 28.4438i 0.291404 + 1.41513i
\(405\) 4.41545 5.65090i 0.219405 0.280795i
\(406\) 24.3492 + 7.29686i 1.20843 + 0.362137i
\(407\) −7.57656 4.37433i −0.375556 0.216828i
\(408\) −27.3808 17.9839i −1.35555 0.890337i
\(409\) −4.36888 + 2.52237i −0.216027 + 0.124723i −0.604109 0.796901i \(-0.706471\pi\)
0.388082 + 0.921625i \(0.373138\pi\)
\(410\) −2.99121 + 0.708076i −0.147725 + 0.0349694i
\(411\) 8.65634 5.35654i 0.426986 0.264219i
\(412\) 13.3395 + 26.5969i 0.657189 + 1.31034i
\(413\) −3.20193 3.20193i −0.157557 0.157557i
\(414\) −8.98190 + 16.7626i −0.441436 + 0.823839i
\(415\) 2.51613i 0.123512i
\(416\) −3.95038 + 9.12407i −0.193683 + 0.447344i
\(417\) 9.10827 + 8.56844i 0.446034 + 0.419598i
\(418\) 3.03465 4.91694i 0.148430 0.240495i
\(419\) 21.3504 + 5.72083i 1.04304 + 0.279481i 0.739371 0.673298i \(-0.235123\pi\)
0.303665 + 0.952779i \(0.401790\pi\)
\(420\) −11.6850 + 2.78051i −0.570169 + 0.135675i
\(421\) −7.95298 + 2.13099i −0.387604 + 0.103858i −0.447358 0.894355i \(-0.647635\pi\)
0.0597538 + 0.998213i \(0.480968\pi\)
\(422\) −18.5279 5.55234i −0.901923 0.270284i
\(423\) −7.37608 + 0.450943i −0.358637 + 0.0219256i
\(424\) 4.32283 + 5.16024i 0.209935 + 0.250603i
\(425\) −14.5943 + 25.2780i −0.707926 + 1.22616i
\(426\) 17.0928 + 9.84186i 0.828148 + 0.476840i
\(427\) 8.58988 + 2.30165i 0.415693 + 0.111385i
\(428\) −0.183183 0.206065i −0.00885447 0.00996053i
\(429\) 10.9382 + 5.87747i 0.528099 + 0.283767i
\(430\) 10.0338 + 0.294668i 0.483870 + 0.0142101i
\(431\) 1.08094 0.0520671 0.0260336 0.999661i \(-0.491712\pi\)
0.0260336 + 0.999661i \(0.491712\pi\)
\(432\) −0.537162 + 20.7777i −0.0258442 + 0.999666i
\(433\) −15.5307 −0.746359 −0.373179 0.927759i \(-0.621732\pi\)
−0.373179 + 0.927759i \(0.621732\pi\)
\(434\) −35.1007 1.03083i −1.68489 0.0494812i
\(435\) 5.02167 + 2.69833i 0.240771 + 0.129375i
\(436\) −18.6166 + 16.5493i −0.891572 + 0.792568i
\(437\) −4.33690 1.16207i −0.207462 0.0555893i
\(438\) −20.6571 11.8941i −0.987033 0.568324i
\(439\) −2.26321 + 3.91999i −0.108017 + 0.187091i −0.914967 0.403529i \(-0.867783\pi\)
0.806950 + 0.590620i \(0.201117\pi\)
\(440\) −0.808634 + 9.15717i −0.0385501 + 0.436551i
\(441\) 15.9774 32.0437i 0.760831 1.52589i
\(442\) 15.9215 + 4.77127i 0.757308 + 0.226946i
\(443\) −25.4883 + 6.82958i −1.21099 + 0.324483i −0.807149 0.590347i \(-0.798991\pi\)
−0.403838 + 0.914830i \(0.632324\pi\)
\(444\) 1.71999 + 7.22820i 0.0816271 + 0.343035i
\(445\) 1.31706 + 0.352904i 0.0624345 + 0.0167293i
\(446\) −20.8730 + 33.8199i −0.988366 + 1.60142i
\(447\) 5.67490 + 5.33856i 0.268414 + 0.252505i
\(448\) 22.4198 26.6311i 1.05924 1.25820i
\(449\) 5.94688i 0.280650i 0.990105 + 0.140325i \(0.0448148\pi\)
−0.990105 + 0.140325i \(0.955185\pi\)
\(450\) 18.5101 0.586980i 0.872577 0.0276705i
\(451\) −7.86752 7.86752i −0.370467 0.370467i
\(452\) −14.9051 + 7.47555i −0.701078 + 0.351620i
\(453\) −12.4751 + 7.71961i −0.586133 + 0.362699i
\(454\) −0.698114 + 0.165257i −0.0327641 + 0.00775588i
\(455\) 5.27777 3.04712i 0.247426 0.142851i
\(456\) −4.80512 + 0.995333i −0.225020 + 0.0466107i
\(457\) 18.2318 + 10.5261i 0.852846 + 0.492391i 0.861610 0.507571i \(-0.169456\pi\)
−0.00876413 + 0.999962i \(0.502790\pi\)
\(458\) 20.5015 + 6.14380i 0.957974 + 0.287081i
\(459\) 34.6002 3.17791i 1.61500 0.148332i
\(460\) 6.99660 1.44074i 0.326218 0.0671747i
\(461\) 38.2603 10.2518i 1.78196 0.477475i 0.791021 0.611788i \(-0.209550\pi\)
0.990939 + 0.134314i \(0.0428829\pi\)
\(462\) −30.7785 30.7065i −1.43195 1.42860i
\(463\) −9.98020 + 5.76207i −0.463819 + 0.267786i −0.713649 0.700504i \(-0.752959\pi\)
0.249829 + 0.968290i \(0.419625\pi\)
\(464\) −16.3503 + 2.37691i −0.759045 + 0.110345i
\(465\) −7.66573 1.80515i −0.355490 0.0837118i
\(466\) 0.643338 21.9063i 0.0298020 1.01479i
\(467\) 25.1476 25.1476i 1.16369 1.16369i 0.180032 0.983661i \(-0.442380\pi\)
0.983661 0.180032i \(-0.0576202\pi\)
\(468\) −2.75326 10.1799i −0.127269 0.470566i
\(469\) −25.5197 25.5197i −1.17839 1.17839i
\(470\) 1.90433 + 2.01957i 0.0878403 + 0.0931558i
\(471\) 21.3551 + 20.0894i 0.983990 + 0.925671i
\(472\) 2.76499 + 1.00891i 0.127269 + 0.0464390i
\(473\) 18.1672 + 31.4664i 0.835327 + 1.44683i
\(474\) 29.3335 16.9815i 1.34733 0.779987i
\(475\) 1.13164 + 4.22335i 0.0519233 + 0.193780i
\(476\) −48.6041 32.0051i −2.22776 1.46695i
\(477\) −6.99660 1.42367i −0.320352 0.0651853i
\(478\) −18.9662 + 10.2199i −0.867493 + 0.467445i
\(479\) −2.64784 + 4.58619i −0.120983 + 0.209548i −0.920155 0.391553i \(-0.871938\pi\)
0.799173 + 0.601101i \(0.205271\pi\)
\(480\) 6.12367 4.84286i 0.279506 0.221045i
\(481\) −1.88491 3.26477i −0.0859447 0.148861i
\(482\) −21.9198 13.5285i −0.998417 0.616206i
\(483\) −15.9911 + 29.7598i −0.727618 + 1.35412i
\(484\) −10.0782 + 5.05464i −0.458100 + 0.229756i
\(485\) −4.13069 + 4.13069i −0.187565 + 0.187565i
\(486\) −13.2869 17.5914i −0.602707 0.797963i
\(487\) 1.85543 0.0840775 0.0420387 0.999116i \(-0.486615\pi\)
0.0420387 + 0.999116i \(0.486615\pi\)
\(488\) −5.69331 + 0.999123i −0.257724 + 0.0452282i
\(489\) 9.66962 + 32.1302i 0.437275 + 1.45298i
\(490\) −13.0880 + 3.09816i −0.591253 + 0.139961i
\(491\) −0.936497 + 3.49505i −0.0422635 + 0.157730i −0.983833 0.179090i \(-0.942685\pi\)
0.941569 + 0.336820i \(0.109351\pi\)
\(492\) −0.266328 + 9.44558i −0.0120070 + 0.425840i
\(493\) 7.14866 + 26.6792i 0.321960 + 1.20157i
\(494\) 2.19182 1.18105i 0.0986144 0.0531380i
\(495\) −5.38141 8.13090i −0.241877 0.365457i
\(496\) 20.9681 9.01786i 0.941495 0.404914i
\(497\) 30.3446 + 17.5194i 1.36114 + 0.785854i
\(498\) −7.47357 1.99316i −0.334899 0.0893158i
\(499\) 3.22216 12.0253i 0.144244 0.538325i −0.855544 0.517730i \(-0.826777\pi\)
0.999788 0.0205953i \(-0.00655616\pi\)
\(500\) −9.91577 11.1544i −0.443447 0.498840i
\(501\) −14.2305 + 0.434592i −0.635774 + 0.0194162i
\(502\) 3.17824 2.99689i 0.141852 0.133758i
\(503\) 16.6233i 0.741198i −0.928793 0.370599i \(-0.879152\pi\)
0.928793 0.370599i \(-0.120848\pi\)
\(504\) −0.997471 + 36.9100i −0.0444309 + 1.64410i
\(505\) 11.5701i 0.514862i
\(506\) 17.7388 + 18.8122i 0.788586 + 0.836305i
\(507\) −9.03281 14.5973i −0.401161 0.648288i
\(508\) 0.569041 9.67986i 0.0252471 0.429474i
\(509\) 4.04848 15.1091i 0.179446 0.669700i −0.816306 0.577620i \(-0.803982\pi\)
0.995752 0.0920802i \(-0.0293516\pi\)
\(510\) −9.23953 9.21792i −0.409133 0.408176i
\(511\) −36.6722 21.1727i −1.62228 0.936624i
\(512\) −5.90958 + 21.8421i −0.261169 + 0.965293i
\(513\) 3.32830 4.00153i 0.146948 0.176672i
\(514\) 12.9191 + 23.9754i 0.569835 + 1.05751i
\(515\) 3.06819 + 11.4506i 0.135200 + 0.504575i
\(516\) 8.82351 29.5694i 0.388433 1.30172i
\(517\) −2.60048 + 9.70511i −0.114369 + 0.426830i
\(518\) 3.04050 + 12.8443i 0.133592 + 0.564348i
\(519\) −16.4320 3.86945i −0.721285 0.169850i
\(520\) −2.27469 + 3.24299i −0.0997517 + 0.142215i
\(521\) 40.4461 1.77198 0.885988 0.463709i \(-0.153482\pi\)
0.885988 + 0.463709i \(0.153482\pi\)
\(522\) 11.9927 12.7782i 0.524905 0.559286i
\(523\) 7.69126 7.69126i 0.336315 0.336315i −0.518663 0.854979i \(-0.673570\pi\)
0.854979 + 0.518663i \(0.173570\pi\)
\(524\) 40.2771 + 13.3705i 1.75951 + 0.584095i
\(525\) 32.8842 1.00426i 1.43518 0.0438296i
\(526\) 19.5764 31.7190i 0.853571 1.38301i
\(527\) −19.0784 33.0448i −0.831069 1.43945i
\(528\) 26.5586 + 9.65574i 1.15582 + 0.420212i
\(529\) −1.45387 + 2.51818i −0.0632119 + 0.109486i
\(530\) 1.27222 + 2.36100i 0.0552616 + 0.102555i
\(531\) −2.96055 + 0.990498i −0.128477 + 0.0429840i
\(532\) −8.53827 + 1.75820i −0.370181 + 0.0762275i
\(533\) −1.24088 4.63102i −0.0537484 0.200592i
\(534\) 2.09153 3.63245i 0.0905093 0.157191i
\(535\) −0.0549239 0.0951309i −0.00237457 0.00411287i
\(536\) 22.0372 + 8.04113i 0.951861 + 0.347324i
\(537\) −6.09583 + 1.83455i −0.263054 + 0.0791666i
\(538\) −0.881083 + 0.830809i −0.0379862 + 0.0358187i
\(539\) −34.4241 34.4241i −1.48275 1.48275i
\(540\) −1.87919 + 8.06476i −0.0808676 + 0.347052i
\(541\) −17.0176 + 17.0176i −0.731643 + 0.731643i −0.970945 0.239302i \(-0.923081\pi\)
0.239302 + 0.970945i \(0.423081\pi\)
\(542\) 27.0117 + 0.793270i 1.16025 + 0.0340739i
\(543\) 4.89138 + 16.2531i 0.209909 + 0.697486i
\(544\) 37.4196 + 5.53285i 1.60435 + 0.237219i
\(545\) −8.59443 + 4.96200i −0.368145 + 0.212549i
\(546\) −4.86994 18.0901i −0.208414 0.774187i
\(547\) 21.5530 5.77510i 0.921539 0.246926i 0.233296 0.972406i \(-0.425049\pi\)
0.688243 + 0.725480i \(0.258382\pi\)
\(548\) −6.46447 + 9.81718i −0.276148 + 0.419369i
\(549\) 4.06261 4.59170i 0.173388 0.195969i
\(550\) 7.22812 24.1199i 0.308208 1.02847i
\(551\) 3.58311 + 2.06871i 0.152645 + 0.0881299i
\(552\) 1.26301 21.9230i 0.0537575 0.933106i
\(553\) 52.1457 30.1064i 2.21746 1.28025i
\(554\) 2.30075 + 9.71936i 0.0977497 + 0.412936i
\(555\) 0.0903606 + 2.95882i 0.00383559 + 0.125595i
\(556\) −13.7043 4.54934i −0.581193 0.192935i
\(557\) 11.6516 + 11.6516i 0.493695 + 0.493695i 0.909468 0.415773i \(-0.136489\pi\)
−0.415773 + 0.909468i \(0.636489\pi\)
\(558\) −11.4342 + 21.3393i −0.484048 + 0.903364i
\(559\) 15.6566i 0.662203i
\(560\) 10.8887 8.59052i 0.460130 0.363016i
\(561\) 10.8284 45.9837i 0.457174 1.94143i
\(562\) 28.5195 + 17.6017i 1.20302 + 0.742484i
\(563\) −4.88249 1.30826i −0.205772 0.0551365i 0.154460 0.987999i \(-0.450636\pi\)
−0.360233 + 0.932862i \(0.617303\pi\)
\(564\) 7.50717 4.05656i 0.316109 0.170812i
\(565\) −6.41702 + 1.71944i −0.269966 + 0.0723372i
\(566\) −0.305591 + 1.01974i −0.0128450 + 0.0428629i
\(567\) −23.5674 31.2785i −0.989737 1.31357i
\(568\) −22.6867 2.00338i −0.951913 0.0840598i
\(569\) −2.79764 + 4.84565i −0.117283 + 0.203140i −0.918690 0.394979i \(-0.870752\pi\)
0.801407 + 0.598119i \(0.204085\pi\)
\(570\) −1.95505 + 0.00228879i −0.0818879 + 9.58668e-5i
\(571\) 8.65808 + 2.31993i 0.362329 + 0.0970859i 0.435391 0.900242i \(-0.356610\pi\)
−0.0730613 + 0.997327i \(0.523277\pi\)
\(572\) −14.3135 0.841433i −0.598477 0.0351821i
\(573\) −20.5237 + 12.7001i −0.857392 + 0.530554i
\(574\) −0.492770 + 16.7794i −0.0205678 + 0.700357i
\(575\) −19.5662 −0.815966
\(576\) −9.53367 22.0252i −0.397236 0.917716i
\(577\) 16.6893 0.694785 0.347393 0.937720i \(-0.387067\pi\)
0.347393 + 0.937720i \(0.387067\pi\)
\(578\) 1.15052 39.1763i 0.0478551 1.62952i
\(579\) −0.141794 4.64297i −0.00589274 0.192955i
\(580\) −6.57127 0.386299i −0.272857 0.0160402i
\(581\) −13.2725 3.55636i −0.550637 0.147543i
\(582\) 8.99709 + 15.5414i 0.372941 + 0.644210i
\(583\) −4.85387 + 8.40714i −0.201027 + 0.348188i
\(584\) 27.4175 + 2.42113i 1.13454 + 0.100187i
\(585\) −0.256384 4.19367i −0.0106002 0.173387i
\(586\) −8.33004 + 27.7969i −0.344111 + 1.14828i
\(587\) 5.02128 1.34545i 0.207250 0.0555325i −0.153700 0.988118i \(-0.549119\pi\)
0.360950 + 0.932585i \(0.382452\pi\)
\(588\) −1.16531 + 41.3289i −0.0480565 + 1.70437i
\(589\) −5.52099 1.47934i −0.227488 0.0609553i
\(590\) 0.997891 + 0.615881i 0.0410825 + 0.0253554i
\(591\) −33.3923 + 10.0495i −1.37358 + 0.413380i
\(592\) −5.31400 6.73561i −0.218404 0.276832i
\(593\) 44.7927i 1.83942i −0.392602 0.919708i \(-0.628425\pi\)
0.392602 0.919708i \(-0.371575\pi\)
\(594\) −28.4138 + 9.54328i −1.16583 + 0.391566i
\(595\) −16.3947 16.3947i −0.672116 0.672116i
\(596\) −8.53846 2.83446i −0.349749 0.116104i
\(597\) 12.0545 + 6.47733i 0.493358 + 0.265100i
\(598\) 2.56652 + 10.8421i 0.104953 + 0.443365i
\(599\) −27.1165 + 15.6557i −1.10795 + 0.639674i −0.938297 0.345830i \(-0.887597\pi\)
−0.169651 + 0.985504i \(0.554264\pi\)
\(600\) −19.1038 + 9.60935i −0.779908 + 0.392300i
\(601\) −15.4248 8.90549i −0.629189 0.363262i 0.151249 0.988496i \(-0.451670\pi\)
−0.780438 + 0.625233i \(0.785004\pi\)
\(602\) 15.7363 52.5112i 0.641364 2.14020i
\(603\) −23.5958 + 7.89436i −0.960897 + 0.321483i
\(604\) 9.31630 14.1481i 0.379075 0.575677i
\(605\) −4.33891 + 1.16261i −0.176402 + 0.0472667i
\(606\) 34.3662 + 9.16528i 1.39603 + 0.372314i
\(607\) −29.3159 + 16.9255i −1.18989 + 0.686986i −0.958283 0.285823i \(-0.907733\pi\)
−0.231612 + 0.972808i \(0.574400\pi\)
\(608\) 4.54961 3.37751i 0.184511 0.136976i
\(609\) 21.3313 22.6753i 0.864389 0.918848i
\(610\) −2.30195 0.0676027i −0.0932030 0.00273715i
\(611\) −3.06141 + 3.06141i −0.123852 + 0.123852i
\(612\) −34.6987 + 20.1418i −1.40261 + 0.814184i
\(613\) −11.3734 11.3734i −0.459367 0.459367i 0.439081 0.898448i \(-0.355304\pi\)
−0.898448 + 0.439081i \(0.855304\pi\)
\(614\) 22.3287 21.0547i 0.901115 0.849697i
\(615\) −0.862923 + 3.66448i −0.0347964 + 0.147766i
\(616\) 47.1608 + 17.2085i 1.90016 + 0.693349i
\(617\) −18.0269 31.2236i −0.725738 1.25701i −0.958670 0.284521i \(-0.908165\pi\)
0.232932 0.972493i \(-0.425168\pi\)
\(618\) 36.4418 0.0426627i 1.46590 0.00171615i
\(619\) −4.29280 16.0209i −0.172542 0.643936i −0.996957 0.0779503i \(-0.975162\pi\)
0.824415 0.565986i \(-0.191504\pi\)
\(620\) 8.90686 1.83410i 0.357708 0.0736591i
\(621\) 13.4418 + 19.0213i 0.539400 + 0.763298i
\(622\) 0.446656 + 0.828912i 0.0179093 + 0.0332363i
\(623\) 3.72312 6.44863i 0.149163 0.258359i
\(624\) 7.83063 + 9.32537i 0.313476 + 0.373313i
\(625\) 7.93964 + 13.7519i 0.317585 + 0.550074i
\(626\) 12.2888 19.9111i 0.491158 0.795807i
\(627\) −3.72372 6.01764i −0.148711 0.240322i
\(628\) −32.1309 10.6663i −1.28216 0.425632i
\(629\) −10.1416 + 10.1416i −0.404371 + 0.404371i
\(630\) −3.35513 + 14.3230i −0.133671 + 0.570642i
\(631\) 24.4330 0.972664 0.486332 0.873774i \(-0.338335\pi\)
0.486332 + 0.873774i \(0.338335\pi\)
\(632\) −22.4745 + 32.0416i −0.893988 + 1.27455i
\(633\) −16.2315 + 17.2541i −0.645144 + 0.685790i
\(634\) −2.21435 9.35434i −0.0879430 0.371508i
\(635\) 0.999874 3.73158i 0.0396788 0.148083i
\(636\) 8.02059 1.90854i 0.318037 0.0756786i
\(637\) −5.42943 20.2629i −0.215122 0.802845i
\(638\) −11.3025 20.9754i −0.447471 0.830425i
\(639\) 20.1441 13.3323i 0.796890 0.527420i
\(640\) −4.06117 + 8.04843i −0.160532 + 0.318142i
\(641\) −40.0952 23.1490i −1.58366 0.914329i −0.994318 0.106448i \(-0.966052\pi\)
−0.589346 0.807881i \(-0.700615\pi\)
\(642\) −0.326072 + 0.0877799i −0.0128690 + 0.00346440i
\(643\) −2.83678 + 10.5870i −0.111872 + 0.417511i −0.999034 0.0439466i \(-0.986007\pi\)
0.887162 + 0.461458i \(0.152674\pi\)
\(644\) 2.28932 38.9432i 0.0902117 1.53458i
\(645\) 5.81918 10.8297i 0.229130 0.426418i
\(646\) −6.49844 6.89168i −0.255678 0.271149i
\(647\) 10.0479i 0.395025i −0.980300 0.197512i \(-0.936714\pi\)
0.980300 0.197512i \(-0.0632863\pi\)
\(648\) 22.4658 + 11.9702i 0.882541 + 0.470235i
\(649\) 4.24456i 0.166614i
\(650\) 7.89401 7.44358i 0.309628 0.291961i
\(651\) −20.3570 + 37.8851i −0.797855 + 1.48483i
\(652\) −25.7415 28.9570i −1.00811 1.13404i
\(653\) −6.85777 + 25.5935i −0.268365 + 1.00155i 0.691793 + 0.722096i \(0.256821\pi\)
−0.960158 + 0.279457i \(0.909846\pi\)
\(654\) 7.93032 + 29.4584i 0.310100 + 1.15191i
\(655\) 14.6427 + 8.45394i 0.572136 + 0.330323i
\(656\) −4.31085 10.0235i −0.168310 0.391351i
\(657\) −24.3447 + 16.1125i −0.949778 + 0.628608i
\(658\) 13.3448 7.19079i 0.520234 0.280326i
\(659\) 1.81196 + 6.76233i 0.0705840 + 0.263423i 0.992196 0.124690i \(-0.0397936\pi\)
−0.921612 + 0.388113i \(0.873127\pi\)
\(660\) 9.58790 + 5.90200i 0.373209 + 0.229735i
\(661\) −5.40993 + 20.1902i −0.210422 + 0.785306i 0.777306 + 0.629123i \(0.216586\pi\)
−0.987728 + 0.156183i \(0.950081\pi\)
\(662\) 13.3863 3.16879i 0.520273 0.123158i
\(663\) 13.9481 14.8269i 0.541701 0.575830i
\(664\) 8.79693 1.54378i 0.341387 0.0599103i
\(665\) −3.47311 −0.134681
\(666\) 8.86004 + 2.07544i 0.343320 + 0.0804218i
\(667\) −13.0920 + 13.0920i −0.506926 + 0.506926i
\(668\) 14.6950 7.37017i 0.568567 0.285160i
\(669\) 25.6126 + 41.3907i 0.990240 + 1.60026i
\(670\) 7.95328 + 4.90862i 0.307262 + 0.189637i
\(671\) −4.16791 7.21904i −0.160901 0.278688i
\(672\) −16.8906 39.1472i −0.651568 1.51014i
\(673\) 3.86200 6.68918i 0.148869 0.257849i −0.781941 0.623353i \(-0.785770\pi\)
0.930810 + 0.365504i \(0.119103\pi\)
\(674\) −33.7588 + 18.1908i −1.30034 + 0.700684i
\(675\) 9.49670 20.5978i 0.365528 0.792808i
\(676\) 16.5548 + 10.9011i 0.636724 + 0.419274i
\(677\) 2.04220 + 7.62160i 0.0784882 + 0.292922i 0.994002 0.109366i \(-0.0348819\pi\)
−0.915513 + 0.402287i \(0.868215\pi\)
\(678\) 0.0239085 + 20.4223i 0.000918201 + 0.784313i
\(679\) 15.9508 + 27.6277i 0.612137 + 1.06025i
\(680\) 14.1574 + 5.16588i 0.542912 + 0.198103i
\(681\) −0.201396 + 0.855248i −0.00771752 + 0.0327732i
\(682\) 22.5820 + 23.9484i 0.864708 + 0.917033i
\(683\) 23.0318 + 23.0318i 0.881288 + 0.881288i 0.993666 0.112378i \(-0.0358467\pi\)
−0.112378 + 0.993666i \(0.535847\pi\)
\(684\) −1.54190 + 5.80881i −0.0589560 + 0.222106i
\(685\) −3.31144 + 3.31144i −0.126524 + 0.126524i
\(686\) −0.891563 + 30.3587i −0.0340400 + 1.15910i
\(687\) 17.9605 19.0921i 0.685237 0.728409i
\(688\) 5.12601 + 35.2609i 0.195427 + 1.34431i
\(689\) −3.62267 + 2.09155i −0.138013 + 0.0796816i
\(690\) 2.25447 8.45338i 0.0858263 0.321815i
\(691\) 24.8749 6.66520i 0.946285 0.253556i 0.247500 0.968888i \(-0.420391\pi\)
0.698785 + 0.715332i \(0.253724\pi\)
\(692\) 19.0924 3.93151i 0.725785 0.149453i
\(693\) −50.4964 + 16.8944i −1.91820 + 0.641764i
\(694\) −42.3099 12.6792i −1.60606 0.481297i
\(695\) −4.98218 2.87646i −0.188985 0.109111i
\(696\) −6.35286 + 19.2124i −0.240805 + 0.728244i
\(697\) −15.7965 + 9.12014i −0.598337 + 0.345450i
\(698\) −45.1232 + 10.6815i −1.70794 + 0.404301i
\(699\) −23.6440 12.7048i −0.894299 0.480540i
\(700\) −33.9575 + 17.0311i −1.28347 + 0.643715i
\(701\) −35.0396 35.0396i −1.32343 1.32343i −0.910983 0.412443i \(-0.864675\pi\)
−0.412443 0.910983i \(-0.635325\pi\)
\(702\) −12.6594 2.56050i −0.477798 0.0966400i
\(703\) 2.14843i 0.0810295i
\(704\) −32.5115 + 2.79125i −1.22532 + 0.105199i
\(705\) 3.25543 0.979727i 0.122607 0.0368987i
\(706\) 2.99313 4.84967i 0.112648 0.182520i
\(707\) 61.0318 + 16.3534i 2.29534 + 0.615034i
\(708\) 2.61981 2.47612i 0.0984584 0.0930584i
\(709\) 45.5722 12.2110i 1.71150 0.458595i 0.735710 0.677297i \(-0.236849\pi\)
0.975792 + 0.218702i \(0.0701821\pi\)
\(710\) −8.69190 2.60474i −0.326201 0.0977543i
\(711\) −2.53314 41.4345i −0.0950000 1.55392i
\(712\) −0.425744 + 4.82123i −0.0159554 + 0.180683i
\(713\) 12.7890 22.1512i 0.478951 0.829568i
\(714\) −61.6836 + 35.7094i −2.30845 + 1.33639i
\(715\) −5.51784 1.47850i −0.206356 0.0552928i
\(716\) 5.49380 4.88375i 0.205313 0.182514i
\(717\) 0.805449 + 26.3741i 0.0300801 + 0.984959i
\(718\) −20.9274 0.614590i −0.781005 0.0229363i
\(719\) −26.0582 −0.971806 −0.485903 0.874013i \(-0.661509\pi\)
−0.485903 + 0.874013i \(0.661509\pi\)
\(720\) −1.95043 9.36081i −0.0726883 0.348857i
\(721\) 64.7383 2.41098
\(722\) 25.4402 + 0.747118i 0.946785 + 0.0278049i
\(723\) −26.8267 + 16.6004i −0.997695 + 0.617374i
\(724\) −13.0214 14.6479i −0.483935 0.544386i
\(725\) 17.4158 + 4.66655i 0.646807 + 0.173311i
\(726\) 0.0161659 + 13.8087i 0.000599973 + 0.512487i
\(727\) −4.96698 + 8.60307i −0.184215 + 0.319070i −0.943312 0.331908i \(-0.892308\pi\)
0.759097 + 0.650978i \(0.225641\pi\)
\(728\) 13.8916 + 16.5826i 0.514856 + 0.614593i
\(729\) −26.5483 + 4.91824i −0.983269 + 0.182157i
\(730\) 10.5044 + 3.14790i 0.388785 + 0.116509i
\(731\) 57.5359 15.4167i 2.12804 0.570207i
\(732\) −2.02429 + 6.78383i −0.0748199 + 0.250737i
\(733\) −12.7081 3.40512i −0.469384 0.125771i 0.0163712 0.999866i \(-0.494789\pi\)
−0.485755 + 0.874095i \(0.661455\pi\)
\(734\) −2.28938 + 3.70941i −0.0845026 + 0.136917i
\(735\) −3.77569 + 16.0338i −0.139269 + 0.591417i
\(736\) 9.32991 + 23.5776i 0.343905 + 0.869083i
\(737\) 33.8295i 1.24613i
\(738\) 10.2009 + 5.46594i 0.375501 + 0.201204i
\(739\) −32.6637 32.6637i −1.20155 1.20155i −0.973694 0.227861i \(-0.926827\pi\)
−0.227861 0.973694i \(-0.573173\pi\)
\(740\) −1.53241 3.05539i −0.0563324 0.112318i
\(741\) −0.0930813 3.04791i −0.00341943 0.111968i
\(742\) 14.2524 3.37381i 0.523222 0.123856i
\(743\) −8.76936 + 5.06299i −0.321717 + 0.185743i −0.652157 0.758084i \(-0.726136\pi\)
0.330441 + 0.943827i \(0.392803\pi\)
\(744\) 1.60785 27.9086i 0.0589467 1.02318i
\(745\) −3.10414 1.79218i −0.113727 0.0656603i
\(746\) −39.6644 11.8864i −1.45222 0.435193i
\(747\) −6.27728 + 7.09480i −0.229674 + 0.259585i
\(748\) 11.0020 + 53.4287i 0.402274 + 1.95355i
\(749\) −0.579443 + 0.155261i −0.0211724 + 0.00567312i
\(750\) −17.6504 + 4.75157i −0.644502 + 0.173503i
\(751\) 22.6187 13.0589i 0.825368 0.476526i −0.0268964 0.999638i \(-0.508562\pi\)
0.852264 + 0.523112i \(0.175229\pi\)
\(752\) −5.89243 + 7.89706i −0.214875 + 0.287976i
\(753\) −1.54182 5.12315i −0.0561870 0.186698i
\(754\) 0.301389 10.2626i 0.0109759 0.373742i
\(755\) 4.77230 4.77230i 0.173682 0.173682i
\(756\) 39.8853 + 21.3116i 1.45061 + 0.775096i
\(757\) 2.39808 + 2.39808i 0.0871596 + 0.0871596i 0.749342 0.662183i \(-0.230370\pi\)
−0.662183 + 0.749342i \(0.730370\pi\)
\(758\) −17.9269 19.0117i −0.651134 0.690536i
\(759\) 30.3243 9.12612i 1.10070 0.331257i
\(760\) 2.04676 0.952399i 0.0742438 0.0345471i
\(761\) 23.1857 + 40.1589i 0.840482 + 1.45576i 0.889488 + 0.456959i \(0.151061\pi\)
−0.0490055 + 0.998799i \(0.515605\pi\)
\(762\) −10.2917 5.92587i −0.372829 0.214672i
\(763\) 14.0268 + 52.3487i 0.507804 + 1.89515i
\(764\) 15.3269 23.2760i 0.554509 0.842098i
\(765\) −15.1587 + 5.07159i −0.548065 + 0.183364i
\(766\) 4.14313 2.23251i 0.149697 0.0806639i
\(767\) −0.914499 + 1.58396i −0.0330206 + 0.0571934i
\(768\) 20.6889 + 18.4383i 0.746545 + 0.665335i
\(769\) −7.38255 12.7870i −0.266222 0.461109i 0.701661 0.712511i \(-0.252442\pi\)
−0.967883 + 0.251401i \(0.919109\pi\)
\(770\) 17.0205 + 10.5047i 0.613375 + 0.378564i
\(771\) 33.3398 1.01818i 1.20071 0.0366688i
\(772\) 2.40465 + 4.79452i 0.0865453 + 0.172558i
\(773\) −22.1409 + 22.1409i −0.796353 + 0.796353i