Properties

Label 392.2.z.a.109.20
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.20
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.634241 - 1.26402i) q^{2} +(-0.0230268 - 0.152773i) q^{3} +(-1.19548 + 1.60338i) q^{4} +(-0.525668 - 0.206310i) q^{5} +(-0.178503 + 0.126001i) q^{6} +(-2.63610 - 0.225735i) q^{7} +(2.78492 + 0.494174i) q^{8} +(2.84391 - 0.877230i) q^{9} +O(q^{10})\) \(q+(-0.634241 - 1.26402i) q^{2} +(-0.0230268 - 0.152773i) q^{3} +(-1.19548 + 1.60338i) q^{4} +(-0.525668 - 0.206310i) q^{5} +(-0.178503 + 0.126001i) q^{6} +(-2.63610 - 0.225735i) q^{7} +(2.78492 + 0.494174i) q^{8} +(2.84391 - 0.877230i) q^{9} +(0.0726213 + 0.795303i) q^{10} +(1.80388 - 5.84803i) q^{11} +(0.272482 + 0.145716i) q^{12} +(-6.52741 + 1.48984i) q^{13} +(1.38659 + 3.47525i) q^{14} +(-0.0194141 + 0.0850586i) q^{15} +(-1.14167 - 3.83361i) q^{16} +(-4.09945 + 2.79496i) q^{17} +(-2.91256 - 3.03837i) q^{18} +(-3.64219 + 2.10282i) q^{19} +(0.959217 - 0.596208i) q^{20} +(0.0262149 + 0.407924i) q^{21} +(-8.53610 + 1.42893i) q^{22} +(-1.89465 - 1.29175i) q^{23} +(0.0113686 - 0.436840i) q^{24} +(-3.43150 - 3.18396i) q^{25} +(6.02313 + 7.30584i) q^{26} +(-0.400607 - 0.831868i) q^{27} +(3.51334 - 3.95682i) q^{28} +(-2.65570 + 5.51461i) q^{29} +(0.119829 - 0.0294079i) q^{30} +(3.34270 - 5.78972i) q^{31} +(-4.12166 + 3.87452i) q^{32} +(-0.934959 - 0.140922i) q^{33} +(6.13291 + 3.40910i) q^{34} +(1.33914 + 0.662515i) q^{35} +(-1.99330 + 5.60858i) q^{36} +(5.30623 - 0.397647i) q^{37} +(4.96802 + 3.27009i) q^{38} +(0.377912 + 0.962905i) q^{39} +(-1.36199 - 0.834328i) q^{40} +(-4.66691 - 5.85212i) q^{41} +(0.498996 - 0.291858i) q^{42} +(-1.84701 - 1.47294i) q^{43} +(7.22013 + 9.88350i) q^{44} +(-1.67593 - 0.125594i) q^{45} +(-0.431131 + 3.21415i) q^{46} +(2.94701 - 2.73443i) q^{47} +(-0.559384 + 0.262692i) q^{48} +(6.89809 + 1.19012i) q^{49} +(-1.84819 + 6.35687i) q^{50} +(0.521392 + 0.561927i) q^{51} +(5.41459 - 12.2470i) q^{52} +(-2.92702 - 0.219350i) q^{53} +(-0.797415 + 1.03398i) q^{54} +(-2.15475 + 2.70197i) q^{55} +(-7.22979 - 1.93135i) q^{56} +(0.405122 + 0.508007i) q^{57} +(8.65492 - 0.140745i) q^{58} +(0.729205 - 0.286192i) q^{59} +(-0.113172 - 0.132814i) q^{60} +(-1.54097 + 0.115480i) q^{61} +(-9.43838 - 0.553150i) q^{62} +(-7.69486 + 1.67050i) q^{63} +(7.51158 + 2.75247i) q^{64} +(3.73862 + 0.563506i) q^{65} +(0.414861 + 1.27118i) q^{66} +(-0.598085 - 0.345304i) q^{67} +(0.419417 - 9.91430i) q^{68} +(-0.153717 + 0.319197i) q^{69} +(-0.0119097 - 2.11290i) q^{70} +(-2.58966 + 1.24711i) q^{71} +(8.35357 - 1.03763i) q^{72} +(5.90067 + 5.47502i) q^{73} +(-3.86806 - 6.45496i) q^{74} +(-0.407407 + 0.597557i) q^{75} +(0.982534 - 8.35369i) q^{76} +(-6.07531 + 15.0088i) q^{77} +(0.977441 - 1.08840i) q^{78} +(-5.41460 - 9.37836i) q^{79} +(-0.190774 + 2.25075i) q^{80} +(7.25912 - 4.94918i) q^{81} +(-4.43724 + 9.61071i) q^{82} +(10.4710 + 2.38994i) q^{83} +(-0.685397 - 0.445631i) q^{84} +(2.73158 - 0.623465i) q^{85} +(-0.690376 + 3.26886i) q^{86} +(0.903637 + 0.278735i) q^{87} +(7.91361 - 15.3949i) q^{88} +(9.73745 - 3.00360i) q^{89} +(0.904192 + 2.19806i) q^{90} +(17.5432 - 2.45390i) q^{91} +(4.33618 - 1.49359i) q^{92} +(-0.961485 - 0.377355i) q^{93} +(-5.32548 - 1.99079i) q^{94} +(2.34841 - 0.353966i) q^{95} +(0.686831 + 0.540461i) q^{96} -8.51056 q^{97} +(-2.87071 - 9.47412i) q^{98} -18.2137i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} + O(q^{10}) \) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} - 6q^{10} - 47q^{12} - 33q^{14} - 8q^{15} - 17q^{16} - 26q^{17} - 8q^{18} - 22q^{20} - 18q^{22} - 26q^{23} - 74q^{24} - 72q^{25} - 12q^{26} + 2q^{28} - 11q^{30} + 60q^{31} - 13q^{32} - 14q^{33} - 18q^{34} + 8q^{36} - 46q^{38} - 32q^{39} + 32q^{40} - 20q^{41} - 36q^{42} + 38q^{44} - 22q^{46} - 58q^{47} + 28q^{48} - 16q^{49} - 132q^{50} + 18q^{52} - 37q^{54} - 32q^{55} + 96q^{56} - 66q^{57} + 100q^{60} + 28q^{62} - 72q^{63} - 28q^{64} - 36q^{65} - 4q^{66} - 11q^{68} - 36q^{70} + 60q^{71} - 130q^{72} - 18q^{73} - 12q^{74} + 11q^{76} - 132q^{78} - 12q^{79} - 64q^{80} - 58q^{81} + 152q^{82} - 224q^{84} + 55q^{86} - 8q^{87} - 169q^{88} - 18q^{89} + 144q^{90} - 54q^{92} + 154q^{94} - 64q^{95} - 142q^{96} - 96q^{97} + 151q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.634241 1.26402i −0.448476 0.893795i
\(3\) −0.0230268 0.152773i −0.0132945 0.0882036i 0.981200 0.192996i \(-0.0618204\pi\)
−0.994494 + 0.104792i \(0.966582\pi\)
\(4\) −1.19548 + 1.60338i −0.597739 + 0.801691i
\(5\) −0.525668 0.206310i −0.235086 0.0922644i 0.244874 0.969555i \(-0.421253\pi\)
−0.479960 + 0.877291i \(0.659349\pi\)
\(6\) −0.178503 + 0.126001i −0.0728736 + 0.0514398i
\(7\) −2.63610 0.225735i −0.996354 0.0853197i
\(8\) 2.78492 + 0.494174i 0.984619 + 0.174717i
\(9\) 2.84391 0.877230i 0.947970 0.292410i
\(10\) 0.0726213 + 0.795303i 0.0229649 + 0.251497i
\(11\) 1.80388 5.84803i 0.543890 1.76325i −0.0966457 0.995319i \(-0.530811\pi\)
0.640535 0.767929i \(-0.278712\pi\)
\(12\) 0.272482 + 0.145716i 0.0786587 + 0.0420646i
\(13\) −6.52741 + 1.48984i −1.81038 + 0.413207i −0.987836 0.155500i \(-0.950301\pi\)
−0.822541 + 0.568706i \(0.807444\pi\)
\(14\) 1.38659 + 3.47525i 0.370582 + 0.928800i
\(15\) −0.0194141 + 0.0850586i −0.00501269 + 0.0219620i
\(16\) −1.14167 3.83361i −0.285417 0.958404i
\(17\) −4.09945 + 2.79496i −0.994263 + 0.677877i −0.947076 0.321009i \(-0.895978\pi\)
−0.0471870 + 0.998886i \(0.515026\pi\)
\(18\) −2.91256 3.03837i −0.686496 0.716152i
\(19\) −3.64219 + 2.10282i −0.835575 + 0.482419i −0.855758 0.517377i \(-0.826909\pi\)
0.0201826 + 0.999796i \(0.493575\pi\)
\(20\) 0.959217 0.596208i 0.214488 0.133316i
\(21\) 0.0262149 + 0.407924i 0.00572057 + 0.0890162i
\(22\) −8.53610 + 1.42893i −1.81990 + 0.304648i
\(23\) −1.89465 1.29175i −0.395062 0.269349i 0.349454 0.936954i \(-0.386367\pi\)
−0.744516 + 0.667605i \(0.767320\pi\)
\(24\) 0.0113686 0.436840i 0.00232060 0.0891697i
\(25\) −3.43150 3.18396i −0.686299 0.636793i
\(26\) 6.02313 + 7.30584i 1.18123 + 1.43279i
\(27\) −0.400607 0.831868i −0.0770968 0.160093i
\(28\) 3.51334 3.95682i 0.663959 0.747769i
\(29\) −2.65570 + 5.51461i −0.493151 + 1.02404i 0.494762 + 0.869028i \(0.335255\pi\)
−0.987913 + 0.155010i \(0.950459\pi\)
\(30\) 0.119829 0.0294079i 0.0218776 0.00536912i
\(31\) 3.34270 5.78972i 0.600366 1.03986i −0.392399 0.919795i \(-0.628355\pi\)
0.992765 0.120070i \(-0.0383119\pi\)
\(32\) −4.12166 + 3.87452i −0.728614 + 0.684925i
\(33\) −0.934959 0.140922i −0.162755 0.0245314i
\(34\) 6.13291 + 3.40910i 1.05179 + 0.584656i
\(35\) 1.33914 + 0.662515i 0.226357 + 0.111985i
\(36\) −1.99330 + 5.60858i −0.332216 + 0.934763i
\(37\) 5.30623 0.397647i 0.872339 0.0653728i 0.368967 0.929443i \(-0.379712\pi\)
0.503372 + 0.864070i \(0.332093\pi\)
\(38\) 4.96802 + 3.27009i 0.805919 + 0.530479i
\(39\) 0.377912 + 0.962905i 0.0605144 + 0.154188i
\(40\) −1.36199 0.834328i −0.215350 0.131919i
\(41\) −4.66691 5.85212i −0.728849 0.913948i 0.269953 0.962873i \(-0.412992\pi\)
−0.998802 + 0.0489255i \(0.984420\pi\)
\(42\) 0.498996 0.291858i 0.0769967 0.0450346i
\(43\) −1.84701 1.47294i −0.281667 0.224622i 0.472457 0.881354i \(-0.343367\pi\)
−0.754124 + 0.656732i \(0.771938\pi\)
\(44\) 7.22013 + 9.88350i 1.08848 + 1.48999i
\(45\) −1.67593 0.125594i −0.249833 0.0187224i
\(46\) −0.431131 + 3.21415i −0.0635668 + 0.473901i
\(47\) 2.94701 2.73443i 0.429866 0.398858i −0.435346 0.900263i \(-0.643374\pi\)
0.865212 + 0.501406i \(0.167184\pi\)
\(48\) −0.559384 + 0.262692i −0.0807401 + 0.0379163i
\(49\) 6.89809 + 1.19012i 0.985441 + 0.170017i
\(50\) −1.84819 + 6.35687i −0.261373 + 0.898997i
\(51\) 0.521392 + 0.561927i 0.0730095 + 0.0786855i
\(52\) 5.41459 12.2470i 0.750868 1.69835i
\(53\) −2.92702 0.219350i −0.402058 0.0301300i −0.127833 0.991796i \(-0.540802\pi\)
−0.274225 + 0.961666i \(0.588421\pi\)
\(54\) −0.797415 + 1.03398i −0.108514 + 0.140707i
\(55\) −2.15475 + 2.70197i −0.290546 + 0.364333i
\(56\) −7.22979 1.93135i −0.966122 0.258087i
\(57\) 0.405122 + 0.508007i 0.0536597 + 0.0672871i
\(58\) 8.65492 0.140745i 1.13645 0.0184807i
\(59\) 0.729205 0.286192i 0.0949344 0.0372590i −0.317399 0.948292i \(-0.602809\pi\)
0.412333 + 0.911033i \(0.364714\pi\)
\(60\) −0.113172 0.132814i −0.0146105 0.0171462i
\(61\) −1.54097 + 0.115480i −0.197301 + 0.0147857i −0.173014 0.984919i \(-0.555351\pi\)
−0.0242871 + 0.999705i \(0.507732\pi\)
\(62\) −9.43838 0.553150i −1.19868 0.0702501i
\(63\) −7.69486 + 1.67050i −0.969461 + 0.210463i
\(64\) 7.51158 + 2.75247i 0.938948 + 0.344059i
\(65\) 3.73862 + 0.563506i 0.463718 + 0.0698943i
\(66\) 0.414861 + 1.27118i 0.0510658 + 0.156472i
\(67\) −0.598085 0.345304i −0.0730677 0.0421856i 0.463021 0.886347i \(-0.346765\pi\)
−0.536089 + 0.844162i \(0.680099\pi\)
\(68\) 0.419417 9.91430i 0.0508618 1.20229i
\(69\) −0.153717 + 0.319197i −0.0185053 + 0.0384267i
\(70\) −0.0119097 2.11290i −0.00142349 0.252539i
\(71\) −2.58966 + 1.24711i −0.307336 + 0.148005i −0.581194 0.813765i \(-0.697414\pi\)
0.273858 + 0.961770i \(0.411700\pi\)
\(72\) 8.35357 1.03763i 0.984478 0.122286i
\(73\) 5.90067 + 5.47502i 0.690621 + 0.640803i 0.945292 0.326225i \(-0.105777\pi\)
−0.254671 + 0.967028i \(0.581967\pi\)
\(74\) −3.86806 6.45496i −0.449653 0.750374i
\(75\) −0.407407 + 0.597557i −0.0470433 + 0.0689999i
\(76\) 0.982534 8.35369i 0.112704 0.958234i
\(77\) −6.07531 + 15.0088i −0.692346 + 1.71041i
\(78\) 0.977441 1.08840i 0.110673 0.123237i
\(79\) −5.41460 9.37836i −0.609190 1.05515i −0.991374 0.131062i \(-0.958161\pi\)
0.382184 0.924086i \(-0.375172\pi\)
\(80\) −0.190774 + 2.25075i −0.0213291 + 0.251641i
\(81\) 7.25912 4.94918i 0.806569 0.549909i
\(82\) −4.43724 + 9.61071i −0.490011 + 1.06133i
\(83\) 10.4710 + 2.38994i 1.14934 + 0.262330i 0.754424 0.656387i \(-0.227916\pi\)
0.394917 + 0.918717i \(0.370773\pi\)
\(84\) −0.685397 0.445631i −0.0747829 0.0486223i
\(85\) 2.73158 0.623465i 0.296281 0.0676242i
\(86\) −0.690376 + 3.26886i −0.0744451 + 0.352490i
\(87\) 0.903637 + 0.278735i 0.0968800 + 0.0298835i
\(88\) 7.91361 15.3949i 0.843593 1.64110i
\(89\) 9.73745 3.00360i 1.03217 0.318381i 0.268013 0.963415i \(-0.413633\pi\)
0.764154 + 0.645034i \(0.223157\pi\)
\(90\) 0.904192 + 2.19806i 0.0953102 + 0.231696i
\(91\) 17.5432 2.45390i 1.83903 0.257239i
\(92\) 4.33618 1.49359i 0.452078 0.155717i
\(93\) −0.961485 0.377355i −0.0997014 0.0391299i
\(94\) −5.32548 1.99079i −0.549281 0.205334i
\(95\) 2.34841 0.353966i 0.240942 0.0363162i
\(96\) 0.686831 + 0.540461i 0.0700994 + 0.0551606i
\(97\) −8.51056 −0.864116 −0.432058 0.901846i \(-0.642212\pi\)
−0.432058 + 0.901846i \(0.642212\pi\)
\(98\) −2.87071 9.47412i −0.289986 0.957031i
\(99\) 18.2137i 1.83054i
\(100\) 9.20739 1.69564i 0.920739 0.169564i
\(101\) 1.11690 + 7.41014i 0.111136 + 0.737336i 0.973103 + 0.230372i \(0.0739943\pi\)
−0.861967 + 0.506964i \(0.830768\pi\)
\(102\) 0.379597 1.01544i 0.0375857 0.100544i
\(103\) 5.19123 13.2270i 0.511507 1.30330i −0.408986 0.912541i \(-0.634117\pi\)
0.920493 0.390759i \(-0.127787\pi\)
\(104\) −18.9146 + 0.923406i −1.85472 + 0.0905475i
\(105\) 0.0703782 0.219841i 0.00686820 0.0214543i
\(106\) 1.57917 + 3.83893i 0.153383 + 0.372870i
\(107\) −2.65746 8.61527i −0.256906 0.832870i −0.988512 0.151142i \(-0.951705\pi\)
0.731606 0.681728i \(-0.238771\pi\)
\(108\) 1.81272 + 0.352155i 0.174429 + 0.0338861i
\(109\) 3.39822 11.0168i 0.325491 1.05522i −0.633966 0.773361i \(-0.718574\pi\)
0.959457 0.281855i \(-0.0909496\pi\)
\(110\) 4.78196 + 1.00994i 0.455942 + 0.0962939i
\(111\) −0.182935 0.801492i −0.0173635 0.0760743i
\(112\) 2.14417 + 10.3635i 0.202605 + 0.979261i
\(113\) −3.01275 + 13.1997i −0.283416 + 1.24173i 0.609965 + 0.792428i \(0.291183\pi\)
−0.893381 + 0.449299i \(0.851674\pi\)
\(114\) 0.385184 0.834279i 0.0360758 0.0781374i
\(115\) 0.729457 + 1.06992i 0.0680222 + 0.0997703i
\(116\) −5.66720 10.8507i −0.526187 1.00746i
\(117\) −17.2564 + 9.96300i −1.59536 + 0.921079i
\(118\) −0.824243 0.740213i −0.0758777 0.0681421i
\(119\) 11.4375 6.44241i 1.04847 0.590575i
\(120\) −0.0961004 + 0.227288i −0.00877273 + 0.0207484i
\(121\) −21.8569 14.9017i −1.98699 1.35470i
\(122\) 1.12332 + 1.87457i 0.101700 + 0.169716i
\(123\) −0.786582 + 0.847734i −0.0709237 + 0.0764376i
\(124\) 5.28702 + 12.2811i 0.474788 + 1.10288i
\(125\) 2.37203 + 4.92556i 0.212160 + 0.440556i
\(126\) 6.99193 + 8.66694i 0.622891 + 0.772112i
\(127\) 8.18124 + 3.93988i 0.725968 + 0.349608i 0.760097 0.649810i \(-0.225151\pi\)
−0.0341292 + 0.999417i \(0.510866\pi\)
\(128\) −1.28498 11.2405i −0.113577 0.993529i
\(129\) −0.182495 + 0.316091i −0.0160678 + 0.0278303i
\(130\) −1.65890 5.08307i −0.145495 0.445815i
\(131\) 1.35426 8.98496i 0.118323 0.785020i −0.848430 0.529307i \(-0.822452\pi\)
0.966753 0.255712i \(-0.0823100\pi\)
\(132\) 1.34367 1.33063i 0.116952 0.115816i
\(133\) 10.0759 4.72108i 0.873688 0.409369i
\(134\) −0.0571410 + 0.974995i −0.00493623 + 0.0842268i
\(135\) 0.0389638 + 0.519936i 0.00335347 + 0.0447489i
\(136\) −12.7979 + 5.75790i −1.09741 + 0.493736i
\(137\) 6.69369 + 17.0552i 0.571880 + 1.45713i 0.865355 + 0.501160i \(0.167093\pi\)
−0.293474 + 0.955967i \(0.594811\pi\)
\(138\) 0.500963 0.00814658i 0.0426448 0.000693483i
\(139\) −4.30096 + 3.42991i −0.364803 + 0.290921i −0.788686 0.614796i \(-0.789238\pi\)
0.423883 + 0.905717i \(0.360667\pi\)
\(140\) −2.66318 + 1.35514i −0.225080 + 0.114530i
\(141\) −0.485608 0.387259i −0.0408955 0.0326131i
\(142\) 3.21884 + 2.48240i 0.270119 + 0.208319i
\(143\) −3.06203 + 40.8599i −0.256060 + 3.41688i
\(144\) −6.60976 9.90095i −0.550813 0.825079i
\(145\) 2.53373 2.35096i 0.210415 0.195237i
\(146\) 3.17808 10.9310i 0.263019 0.904659i
\(147\) 0.0229773 1.08125i 0.00189513 0.0891797i
\(148\) −5.70590 + 8.98329i −0.469022 + 0.738422i
\(149\) 5.00550 + 5.39464i 0.410066 + 0.441946i 0.903987 0.427561i \(-0.140627\pi\)
−0.493920 + 0.869507i \(0.664437\pi\)
\(150\) 1.01372 + 0.135975i 0.0827696 + 0.0111023i
\(151\) −0.366619 + 4.89220i −0.0298351 + 0.398121i 0.962216 + 0.272287i \(0.0877799\pi\)
−0.992051 + 0.125835i \(0.959839\pi\)
\(152\) −11.1824 + 4.05631i −0.907010 + 0.329010i
\(153\) −9.20665 + 11.5448i −0.744313 + 0.933339i
\(154\) 22.8246 1.83990i 1.83926 0.148263i
\(155\) −2.95162 + 2.35384i −0.237080 + 0.189065i
\(156\) −1.99569 0.545194i −0.159783 0.0436504i
\(157\) 8.20797 3.22139i 0.655067 0.257095i −0.0144453 0.999896i \(-0.504598\pi\)
0.669513 + 0.742801i \(0.266503\pi\)
\(158\) −8.42025 + 12.7923i −0.669879 + 1.01770i
\(159\) 0.0338893 + 0.452221i 0.00268760 + 0.0358635i
\(160\) 2.96598 1.18637i 0.234481 0.0937910i
\(161\) 4.70290 + 3.83288i 0.370641 + 0.302073i
\(162\) −10.8599 6.03668i −0.853233 0.474286i
\(163\) 0.262654 1.74260i 0.0205727 0.136491i −0.976187 0.216932i \(-0.930395\pi\)
0.996759 + 0.0804416i \(0.0256330\pi\)
\(164\) 14.9624 0.486760i 1.16837 0.0380095i
\(165\) 0.462404 + 0.266969i 0.0359981 + 0.0207835i
\(166\) −3.62021 14.7513i −0.280983 1.14492i
\(167\) −13.7789 6.63555i −1.06624 0.513474i −0.183347 0.983048i \(-0.558693\pi\)
−0.882893 + 0.469574i \(0.844408\pi\)
\(168\) −0.128579 + 1.14899i −0.00992007 + 0.0886465i
\(169\) 28.6748 13.8091i 2.20575 1.06224i
\(170\) −2.52055 3.05733i −0.193317 0.234487i
\(171\) −8.51339 + 9.17526i −0.651036 + 0.701649i
\(172\) 4.56976 1.20060i 0.348441 0.0915446i
\(173\) 8.98475 13.1782i 0.683098 1.00192i −0.315497 0.948926i \(-0.602171\pi\)
0.998595 0.0529936i \(-0.0168763\pi\)
\(174\) −0.220797 1.31900i −0.0167386 0.0999929i
\(175\) 8.32705 + 9.16787i 0.629466 + 0.693025i
\(176\) −24.4785 0.238876i −1.84514 0.0180059i
\(177\) −0.0605137 0.104813i −0.00454849 0.00787821i
\(178\) −9.97249 10.4033i −0.747470 0.779759i
\(179\) 7.45455 + 10.9338i 0.557179 + 0.817231i 0.996715 0.0809937i \(-0.0258094\pi\)
−0.439536 + 0.898225i \(0.644857\pi\)
\(180\) 2.20492 2.53702i 0.164345 0.189098i
\(181\) −15.7198 3.58795i −1.16845 0.266690i −0.406080 0.913837i \(-0.633105\pi\)
−0.762365 + 0.647147i \(0.775962\pi\)
\(182\) −14.2284 20.6186i −1.05468 1.52835i
\(183\) 0.0531259 + 0.232760i 0.00392718 + 0.0172061i
\(184\) −4.63811 4.53371i −0.341926 0.334230i
\(185\) −2.87135 0.885695i −0.211106 0.0651176i
\(186\) 0.132830 + 1.45467i 0.00973955 + 0.106661i
\(187\) 8.95009 + 29.0155i 0.654496 + 2.12182i
\(188\) 0.861245 + 7.99414i 0.0628127 + 0.583032i
\(189\) 0.868259 + 2.28332i 0.0631566 + 0.166087i
\(190\) −1.93688 2.74393i −0.140516 0.199066i
\(191\) −4.28466 + 10.9171i −0.310027 + 0.789936i 0.687914 + 0.725792i \(0.258527\pi\)
−0.997941 + 0.0641433i \(0.979569\pi\)
\(192\) 0.247536 1.21095i 0.0178644 0.0873927i
\(193\) −10.4895 + 1.58103i −0.755047 + 0.113805i −0.515276 0.857024i \(-0.672311\pi\)
−0.239771 + 0.970829i \(0.577072\pi\)
\(194\) 5.39774 + 10.7575i 0.387535 + 0.772343i
\(195\) 0.584136i 0.0418308i
\(196\) −10.1547 + 9.63751i −0.725338 + 0.688393i
\(197\) 4.17578i 0.297512i −0.988874 0.148756i \(-0.952473\pi\)
0.988874 0.148756i \(-0.0475269\pi\)
\(198\) −23.0224 + 11.5519i −1.63613 + 0.820955i
\(199\) −13.0444 + 1.96613i −0.924696 + 0.139375i −0.594095 0.804395i \(-0.702490\pi\)
−0.330601 + 0.943771i \(0.607251\pi\)
\(200\) −7.98302 10.5628i −0.564485 0.746906i
\(201\) −0.0389812 + 0.0993225i −0.00274952 + 0.00700567i
\(202\) 8.65816 6.11159i 0.609186 0.430010i
\(203\) 8.24554 13.9376i 0.578723 0.978228i
\(204\) −1.52430 + 0.164219i −0.106722 + 0.0114976i
\(205\) 1.24590 + 4.03910i 0.0870173 + 0.282103i
\(206\) −20.0117 + 1.82732i −1.39428 + 0.127316i
\(207\) −6.52138 2.01158i −0.453267 0.139814i
\(208\) 13.1636 + 23.3227i 0.912730 + 1.61714i
\(209\) 5.72728 + 25.0928i 0.396164 + 1.73571i
\(210\) −0.322519 + 0.0504728i −0.0222559 + 0.00348295i
\(211\) −7.47606 1.70636i −0.514673 0.117471i −0.0427074 0.999088i \(-0.513598\pi\)
−0.471966 + 0.881617i \(0.656455\pi\)
\(212\) 3.85089 4.43091i 0.264480 0.304316i
\(213\) 0.250157 + 0.366913i 0.0171405 + 0.0251405i
\(214\) −9.20438 + 8.82323i −0.629199 + 0.603144i
\(215\) 0.667034 + 1.15534i 0.0454913 + 0.0787933i
\(216\) −0.704570 2.51466i −0.0479399 0.171101i
\(217\) −10.1186 + 14.5077i −0.686898 + 0.984850i
\(218\) −16.0807 + 2.69187i −1.08912 + 0.182317i
\(219\) 0.700562 1.02754i 0.0473396 0.0694344i
\(220\) −1.75633 6.68502i −0.118412 0.450704i
\(221\) 22.5947 24.3513i 1.51989 1.63805i
\(222\) −0.897075 + 0.739573i −0.0602077 + 0.0496369i
\(223\) −15.0323 + 7.23919i −1.00664 + 0.484772i −0.863187 0.504885i \(-0.831535\pi\)
−0.143453 + 0.989657i \(0.545821\pi\)
\(224\) 11.7397 9.28323i 0.784395 0.620262i
\(225\) −12.5519 6.04469i −0.836795 0.402979i
\(226\) 18.5955 4.56364i 1.23695 0.303569i
\(227\) −5.31326 3.06761i −0.352653 0.203604i 0.313200 0.949687i \(-0.398599\pi\)
−0.665853 + 0.746083i \(0.731932\pi\)
\(228\) −1.29884 + 0.0422543i −0.0860180 + 0.00279836i
\(229\) 1.34697 8.93659i 0.0890105 0.590546i −0.899211 0.437515i \(-0.855859\pi\)
0.988221 0.153031i \(-0.0489034\pi\)
\(230\) 0.889742 1.60063i 0.0586678 0.105542i
\(231\) 2.43284 + 0.582539i 0.160069 + 0.0383282i
\(232\) −10.1211 + 14.0454i −0.664482 + 0.922125i
\(233\) −0.175776 2.34556i −0.0115155 0.153663i −0.999997 0.00232356i \(-0.999260\pi\)
0.988482 0.151339i \(-0.0483587\pi\)
\(234\) 23.5381 + 15.4935i 1.53873 + 1.01284i
\(235\) −2.11329 + 0.829405i −0.137856 + 0.0541044i
\(236\) −0.412874 + 1.51133i −0.0268758 + 0.0983792i
\(237\) −1.30808 + 1.04316i −0.0849689 + 0.0677604i
\(238\) −15.3974 10.3712i −0.998068 0.672262i
\(239\) 0.269401 0.337818i 0.0174261 0.0218516i −0.773042 0.634355i \(-0.781266\pi\)
0.790468 + 0.612503i \(0.209837\pi\)
\(240\) 0.348246 0.0226825i 0.0224792 0.00146415i
\(241\) 0.974499 13.0038i 0.0627730 0.837648i −0.873601 0.486643i \(-0.838221\pi\)
0.936374 0.351004i \(-0.114160\pi\)
\(242\) −4.97356 + 37.0787i −0.319713 + 2.38351i
\(243\) −2.80728 3.02552i −0.180087 0.194087i
\(244\) 1.65704 2.60882i 0.106081 0.167013i
\(245\) −3.38057 2.04875i −0.215977 0.130890i
\(246\) 1.57043 + 0.456586i 0.100127 + 0.0291109i
\(247\) 20.6412 19.1522i 1.31337 1.21863i
\(248\) 12.1703 14.4721i 0.772814 0.918976i
\(249\) 0.124004 1.65472i 0.00785843 0.104864i
\(250\) 4.72156 6.12227i 0.298618 0.387206i
\(251\) −10.8104 8.62100i −0.682346 0.544153i 0.219821 0.975540i \(-0.429453\pi\)
−0.902167 + 0.431388i \(0.858024\pi\)
\(252\) 6.52059 14.3348i 0.410758 0.903010i
\(253\) −10.9719 + 8.74981i −0.689799 + 0.550096i
\(254\) −0.208803 12.8401i −0.0131014 0.805657i
\(255\) −0.158148 0.402955i −0.00990362 0.0252340i
\(256\) −13.3932 + 8.75342i −0.837075 + 0.547088i
\(257\) −0.136868 1.82637i −0.00853757 0.113926i 0.991307 0.131571i \(-0.0420021\pi\)
−0.999844 + 0.0176451i \(0.994383\pi\)
\(258\) 0.515291 + 0.0301993i 0.0320806 + 0.00188013i
\(259\) −14.0775 0.149562i −0.874736 0.00929333i
\(260\) −5.37295 + 5.32077i −0.333216 + 0.329980i
\(261\) −2.71498 + 18.0127i −0.168053 + 1.11496i
\(262\) −12.2161 + 3.98681i −0.754711 + 0.246306i
\(263\) 8.96816 15.5333i 0.553000 0.957824i −0.445056 0.895503i \(-0.646816\pi\)
0.998056 0.0623217i \(-0.0198505\pi\)
\(264\) −2.53415 0.854491i −0.155966 0.0525903i
\(265\) 1.49339 + 0.719178i 0.0917381 + 0.0441788i
\(266\) −12.3580 9.74176i −0.757720 0.597306i
\(267\) −0.683092 1.41846i −0.0418046 0.0868081i
\(268\) 1.26865 0.546154i 0.0774952 0.0333617i
\(269\) 12.0461 12.9826i 0.734462 0.791562i −0.249796 0.968298i \(-0.580364\pi\)
0.984258 + 0.176736i \(0.0565540\pi\)
\(270\) 0.632495 0.379015i 0.0384924 0.0230661i
\(271\) 6.00056 + 4.09111i 0.364508 + 0.248517i 0.731699 0.681628i \(-0.238728\pi\)
−0.367190 + 0.930146i \(0.619680\pi\)
\(272\) 15.3950 + 12.5248i 0.933459 + 0.759428i
\(273\) −0.778855 2.62363i −0.0471385 0.158789i
\(274\) 17.3127 19.2781i 1.04590 1.16463i
\(275\) −24.8099 + 14.3240i −1.49609 + 0.863770i
\(276\) −0.328029 0.628059i −0.0197450 0.0378047i
\(277\) −9.44232 13.8493i −0.567334 0.832126i 0.430169 0.902748i \(-0.358454\pi\)
−0.997503 + 0.0706220i \(0.977502\pi\)
\(278\) 7.06330 + 3.26111i 0.423629 + 0.195588i
\(279\) 4.42741 19.3978i 0.265062 1.16131i
\(280\) 3.40202 + 2.50682i 0.203309 + 0.149811i
\(281\) 2.54554 + 11.1528i 0.151854 + 0.665318i 0.992346 + 0.123492i \(0.0394095\pi\)
−0.840491 + 0.541825i \(0.817733\pi\)
\(282\) −0.181510 + 0.859432i −0.0108088 + 0.0511784i
\(283\) −8.05290 + 26.1069i −0.478695 + 1.55189i 0.318351 + 0.947973i \(0.396871\pi\)
−0.797046 + 0.603919i \(0.793605\pi\)
\(284\) 1.09628 5.64311i 0.0650522 0.334857i
\(285\) −0.108153 0.350623i −0.00640643 0.0207691i
\(286\) 53.5897 22.0446i 3.16883 1.30352i
\(287\) 10.9814 + 16.4803i 0.648214 + 0.972801i
\(288\) −8.32279 + 14.6344i −0.490425 + 0.862342i
\(289\) 2.78291 7.09075i 0.163701 0.417103i
\(290\) −4.57865 1.71161i −0.268868 0.100509i
\(291\) 0.195971 + 1.30018i 0.0114880 + 0.0762181i
\(292\) −15.8327 + 2.91576i −0.926537 + 0.170632i
\(293\) 7.45954i 0.435791i −0.975972 0.217896i \(-0.930081\pi\)
0.975972 0.217896i \(-0.0699192\pi\)
\(294\) −1.38129 + 0.656727i −0.0805583 + 0.0383011i
\(295\) −0.442364 −0.0257554
\(296\) 14.9739 + 1.51479i 0.870343 + 0.0880452i
\(297\) −5.58744 + 0.842171i −0.324216 + 0.0488677i
\(298\) 3.64423 9.74853i 0.211105 0.564717i
\(299\) 14.2917 + 5.60906i 0.826508 + 0.324380i
\(300\) −0.471065 1.36759i −0.0271970 0.0789581i
\(301\) 4.53643 + 4.29977i 0.261475 + 0.247835i
\(302\) 6.41634 2.63942i 0.369219 0.151881i
\(303\) 1.10635 0.341264i 0.0635582 0.0196051i
\(304\) 12.2196 + 11.5620i 0.700839 + 0.663128i
\(305\) 0.833864 + 0.257213i 0.0477469 + 0.0147280i
\(306\) 20.4320 + 4.31520i 1.16802 + 0.246683i
\(307\) 28.2266 6.44253i 1.61097 0.367694i 0.680125 0.733096i \(-0.261926\pi\)
0.930850 + 0.365402i \(0.119068\pi\)
\(308\) −16.8020 27.6838i −0.957381 1.57743i
\(309\) −2.14027 0.488503i −0.121756 0.0277900i
\(310\) 4.84734 + 2.23800i 0.275310 + 0.127110i
\(311\) 6.46163 4.40546i 0.366405 0.249811i −0.366095 0.930577i \(-0.619306\pi\)
0.732500 + 0.680767i \(0.238353\pi\)
\(312\) 0.576614 + 2.86837i 0.0326443 + 0.162390i
\(313\) −3.87343 6.70897i −0.218939 0.379213i 0.735545 0.677476i \(-0.236926\pi\)
−0.954484 + 0.298263i \(0.903593\pi\)
\(314\) −9.27772 8.33188i −0.523572 0.470195i
\(315\) 4.38958 + 0.709395i 0.247325 + 0.0399699i
\(316\) 21.5101 + 2.52995i 1.21004 + 0.142321i
\(317\) −6.09957 + 8.94642i −0.342586 + 0.502481i −0.958407 0.285405i \(-0.907872\pi\)
0.615821 + 0.787886i \(0.288824\pi\)
\(318\) 0.550121 0.329654i 0.0308493 0.0184861i
\(319\) 27.4591 + 25.4783i 1.53741 + 1.42651i
\(320\) −3.38074 2.99660i −0.188989 0.167515i
\(321\) −1.25499 + 0.604371i −0.0700466 + 0.0337327i
\(322\) 1.86205 8.37552i 0.103768 0.466749i
\(323\) 9.05368 18.8002i 0.503760 1.04607i
\(324\) −0.742684 + 17.5558i −0.0412602 + 0.975321i
\(325\) 27.1424 + 15.6706i 1.50559 + 0.869251i
\(326\) −2.36926 + 0.773226i −0.131221 + 0.0428250i
\(327\) −1.76132 0.265476i −0.0974010 0.0146808i
\(328\) −10.1050 18.6040i −0.557956 1.02723i
\(329\) −8.38589 + 6.54300i −0.462329 + 0.360727i
\(330\) 0.0441781 0.753810i 0.00243192 0.0414959i
\(331\) −17.2550 + 1.29308i −0.948420 + 0.0710742i −0.539950 0.841697i \(-0.681557\pi\)
−0.408470 + 0.912772i \(0.633938\pi\)
\(332\) −16.3498 + 13.9319i −0.897313 + 0.764612i
\(333\) 14.7416 5.78566i 0.807835 0.317052i
\(334\) 0.351666 + 21.6253i 0.0192423 + 1.18328i
\(335\) 0.243154 + 0.304906i 0.0132849 + 0.0166588i
\(336\) 1.53389 0.566210i 0.0836807 0.0308893i
\(337\) 15.1848 19.0412i 0.827170 1.03724i −0.171474 0.985189i \(-0.554853\pi\)
0.998644 0.0520498i \(-0.0165755\pi\)
\(338\) −35.6416 27.4872i −1.93865 1.49511i
\(339\) 2.08594 + 0.156319i 0.113293 + 0.00849011i
\(340\) −2.26589 + 5.12510i −0.122885 + 0.277948i
\(341\) −27.8287 29.9922i −1.50701 1.62417i
\(342\) 16.9972 + 4.94175i 0.919104 + 0.267219i
\(343\) −17.9154 4.69442i −0.967342 0.253475i
\(344\) −4.41590 5.01478i −0.238089 0.270379i
\(345\) 0.146657 0.136078i 0.00789577 0.00732620i
\(346\) −22.3560 2.99872i −1.20186 0.161212i
\(347\) −6.67742 0.500404i −0.358463 0.0268631i −0.105718 0.994396i \(-0.533714\pi\)
−0.252745 + 0.967533i \(0.581333\pi\)
\(348\) −1.52720 + 1.11565i −0.0818663 + 0.0598053i
\(349\) 3.69402 + 2.94588i 0.197736 + 0.157689i 0.717353 0.696710i \(-0.245354\pi\)
−0.519616 + 0.854400i \(0.673925\pi\)
\(350\) 6.30698 16.3402i 0.337123 0.873418i
\(351\) 3.85427 + 4.83310i 0.205726 + 0.257972i
\(352\) 15.2233 + 31.0928i 0.811406 + 1.65725i
\(353\) −2.90304 7.39682i −0.154513 0.393693i 0.832566 0.553926i \(-0.186871\pi\)
−0.987079 + 0.160233i \(0.948776\pi\)
\(354\) −0.0941049 + 0.142967i −0.00500162 + 0.00759860i
\(355\) 1.61859 0.121297i 0.0859060 0.00643776i
\(356\) −6.82497 + 19.2036i −0.361723 + 1.01779i
\(357\) −1.24760 1.59899i −0.0660298 0.0846277i
\(358\) 9.09255 16.3573i 0.480556 0.864512i
\(359\) −32.5692 4.90902i −1.71894 0.259088i −0.785768 0.618522i \(-0.787732\pi\)
−0.933171 + 0.359434i \(0.882970\pi\)
\(360\) −4.60528 1.17797i −0.242719 0.0620846i
\(361\) −0.656315 + 1.13677i −0.0345429 + 0.0598301i
\(362\) 5.43492 + 22.1457i 0.285653 + 1.16395i
\(363\) −1.77329 + 3.68228i −0.0930737 + 0.193269i
\(364\) −17.0380 + 31.0621i −0.893033 + 1.62810i
\(365\) −1.97225 4.09541i −0.103232 0.214364i
\(366\) 0.260518 0.214778i 0.0136175 0.0112266i
\(367\) −25.4935 23.6546i −1.33075 1.23476i −0.950820 0.309743i \(-0.899757\pi\)
−0.379932 0.925014i \(-0.624053\pi\)
\(368\) −2.78902 + 8.73811i −0.145388 + 0.455505i
\(369\) −18.4059 12.5489i −0.958174 0.653272i
\(370\) 0.701595 + 4.19118i 0.0364742 + 0.217889i
\(371\) 7.66642 + 1.23896i 0.398021 + 0.0643236i
\(372\) 1.75448 1.09051i 0.0909655 0.0565402i
\(373\) 23.5536 13.5987i 1.21956 0.704113i 0.254735 0.967011i \(-0.418012\pi\)
0.964824 + 0.262898i \(0.0846784\pi\)
\(374\) 30.9996 29.7159i 1.60295 1.53657i
\(375\) 0.697873 0.475802i 0.0360380 0.0245703i
\(376\) 9.55849 6.15884i 0.492941 0.317618i
\(377\) 9.11894 39.9527i 0.469649 2.05767i
\(378\) 2.33547 2.54567i 0.120124 0.130935i
\(379\) −23.6101 + 5.38885i −1.21277 + 0.276807i −0.780626 0.624999i \(-0.785099\pi\)
−0.432143 + 0.901805i \(0.642242\pi\)
\(380\) −2.23993 + 4.18856i −0.114906 + 0.214869i
\(381\) 0.413519 1.34060i 0.0211852 0.0686808i
\(382\) 16.5169 1.50821i 0.845080 0.0771666i
\(383\) 0.403219 0.124377i 0.0206035 0.00635534i −0.284436 0.958695i \(-0.591806\pi\)
0.305040 + 0.952340i \(0.401330\pi\)
\(384\) −1.68766 + 0.455143i −0.0861229 + 0.0232264i
\(385\) 6.29006 6.63626i 0.320571 0.338215i
\(386\) 8.65129 + 12.2561i 0.440339 + 0.623819i
\(387\) −6.54485 2.56867i −0.332694 0.130573i
\(388\) 10.1742 13.6457i 0.516516 0.692754i
\(389\) 2.23524 + 14.8299i 0.113331 + 0.751904i 0.971240 + 0.238102i \(0.0765253\pi\)
−0.857909 + 0.513802i \(0.828237\pi\)
\(390\) −0.738357 + 0.370482i −0.0373882 + 0.0187601i
\(391\) 11.3774 0.575381
\(392\) 18.6225 + 6.72325i 0.940579 + 0.339575i
\(393\) −1.40384 −0.0708146
\(394\) −5.27825 + 2.64845i −0.265915 + 0.133427i
\(395\) 0.911436 + 6.04699i 0.0458593 + 0.304257i
\(396\) 29.2035 + 21.7741i 1.46753 + 1.09419i
\(397\) −1.02388 0.401842i −0.0513869 0.0201679i 0.339508 0.940603i \(-0.389739\pi\)
−0.390895 + 0.920435i \(0.627835\pi\)
\(398\) 10.7585 + 15.2414i 0.539277 + 0.763982i
\(399\) −0.953269 1.43061i −0.0477231 0.0716200i
\(400\) −8.28846 + 16.7901i −0.414423 + 0.839503i
\(401\) 23.4532 7.23436i 1.17120 0.361267i 0.352678 0.935745i \(-0.385271\pi\)
0.818520 + 0.574478i \(0.194795\pi\)
\(402\) 0.150269 0.0137215i 0.00749472 0.000684364i
\(403\) −13.1934 + 42.7719i −0.657210 + 2.13062i
\(404\) −13.2165 7.06784i −0.657546 0.351638i
\(405\) −4.83695 + 1.10400i −0.240350 + 0.0548583i
\(406\) −22.8470 1.58270i −1.13388 0.0785480i
\(407\) 7.24634 31.7483i 0.359188 1.57370i
\(408\) 1.17435 + 1.82258i 0.0581388 + 0.0902312i
\(409\) −28.8048 + 19.6388i −1.42430 + 0.971075i −0.426525 + 0.904476i \(0.640262\pi\)
−0.997780 + 0.0665990i \(0.978785\pi\)
\(410\) 4.31529 4.13660i 0.213117 0.204292i
\(411\) 2.45145 1.41534i 0.120921 0.0698137i
\(412\) 15.0020 + 24.1362i 0.739096 + 1.18910i
\(413\) −1.98686 + 0.589825i −0.0977672 + 0.0290234i
\(414\) 1.59345 + 9.51896i 0.0783140 + 0.467831i
\(415\) −5.01120 3.41658i −0.245990 0.167713i
\(416\) 21.1314 31.4312i 1.03605 1.54104i
\(417\) 0.623035 + 0.578092i 0.0305101 + 0.0283093i
\(418\) 28.0853 23.1543i 1.37370 1.13251i
\(419\) 16.4937 + 34.2495i 0.805770 + 1.67320i 0.737319 + 0.675545i \(0.236092\pi\)
0.0684517 + 0.997654i \(0.478194\pi\)
\(420\) 0.268353 + 0.375658i 0.0130943 + 0.0183302i
\(421\) 4.83847 10.0472i 0.235813 0.489670i −0.749158 0.662391i \(-0.769542\pi\)
0.984971 + 0.172721i \(0.0552559\pi\)
\(422\) 2.58475 + 10.5321i 0.125824 + 0.512695i
\(423\) 5.98232 10.3617i 0.290870 0.503802i
\(424\) −8.04313 2.05733i −0.390609 0.0999129i
\(425\) 22.9663 + 3.46161i 1.11403 + 0.167913i
\(426\) 0.305124 0.548914i 0.0147833 0.0265950i
\(427\) 4.08823 + 0.0434340i 0.197843 + 0.00210192i
\(428\) 16.9905 + 6.03844i 0.821267 + 0.291879i
\(429\) 6.31281 0.473080i 0.304785 0.0228405i
\(430\) 1.03731 1.57590i 0.0500233 0.0759968i
\(431\) 3.28662 + 8.37416i 0.158311 + 0.403369i 0.987918 0.154978i \(-0.0495308\pi\)
−0.829607 + 0.558348i \(0.811436\pi\)
\(432\) −2.73170 + 2.48549i −0.131429 + 0.119583i
\(433\) −15.6760 19.6570i −0.753338 0.944656i 0.246361 0.969178i \(-0.420765\pi\)
−0.999699 + 0.0245219i \(0.992194\pi\)
\(434\) 24.7557 + 3.58873i 1.18831 + 0.172265i
\(435\) −0.417507 0.332951i −0.0200179 0.0159638i
\(436\) 13.6016 + 18.6190i 0.651398 + 0.891686i
\(437\) 9.61699 + 0.720694i 0.460043 + 0.0344755i
\(438\) −1.74315 0.233817i −0.0832908 0.0111722i
\(439\) 13.3960 12.4296i 0.639355 0.593235i −0.292412 0.956293i \(-0.594458\pi\)
0.931767 + 0.363058i \(0.118267\pi\)
\(440\) −7.33604 + 6.45994i −0.349732 + 0.307966i
\(441\) 20.6615 2.66661i 0.983883 0.126982i
\(442\) −45.1110 13.1155i −2.14571 0.623842i
\(443\) −20.2089 21.7800i −0.960154 1.03480i −0.999367 0.0355690i \(-0.988676\pi\)
0.0392133 0.999231i \(-0.487515\pi\)
\(444\) 1.50379 + 0.664851i 0.0713669 + 0.0315524i
\(445\) −5.73834 0.430029i −0.272023 0.0203853i
\(446\) 18.6846 + 14.4097i 0.884740 + 0.682321i
\(447\) 0.708895 0.888926i 0.0335296 0.0420448i
\(448\) −19.1800 8.95143i −0.906169 0.422915i
\(449\) 0.0908312 + 0.113899i 0.00428659 + 0.00537521i 0.783970 0.620799i \(-0.213191\pi\)
−0.779684 + 0.626174i \(0.784620\pi\)
\(450\) 0.320352 + 19.6996i 0.0151015 + 0.928650i
\(451\) −42.6419 + 16.7357i −2.00793 + 0.788054i
\(452\) −17.5625 20.6106i −0.826072 0.969441i
\(453\) 0.755838 0.0566422i 0.0355124 0.00266128i
\(454\) −0.507628 + 8.66165i −0.0238242 + 0.406511i
\(455\) −9.72818 2.32940i −0.456064 0.109204i
\(456\) 0.877189 + 1.61496i 0.0410781 + 0.0756274i
\(457\) −8.22110 1.23913i −0.384567 0.0579641i −0.0460862 0.998937i \(-0.514675\pi\)
−0.338481 + 0.940973i \(0.609913\pi\)
\(458\) −12.1503 + 3.96535i −0.567746 + 0.185289i
\(459\) 3.96731 + 2.29052i 0.185178 + 0.106913i
\(460\) −2.58753 0.109464i −0.120644 0.00510377i
\(461\) −12.6215 + 26.2089i −0.587844 + 1.22067i 0.368827 + 0.929498i \(0.379759\pi\)
−0.956671 + 0.291172i \(0.905955\pi\)
\(462\) −0.806666 3.44462i −0.0375295 0.160258i
\(463\) −8.60546 + 4.14417i −0.399930 + 0.192596i −0.623027 0.782200i \(-0.714097\pi\)
0.223098 + 0.974796i \(0.428383\pi\)
\(464\) 24.1728 + 3.88507i 1.12220 + 0.180360i
\(465\) 0.427570 + 0.396727i 0.0198281 + 0.0183978i
\(466\) −2.85335 + 1.70984i −0.132179 + 0.0792066i
\(467\) −13.5986 + 19.9455i −0.629267 + 0.922966i −0.999983 0.00578075i \(-0.998160\pi\)
0.370716 + 0.928746i \(0.379112\pi\)
\(468\) 4.65517 39.5792i 0.215185 1.82955i
\(469\) 1.49867 + 1.04527i 0.0692020 + 0.0482659i
\(470\) 2.38872 + 2.14519i 0.110183 + 0.0989503i
\(471\) −0.681145 1.17978i −0.0313855 0.0543613i
\(472\) 2.17221 0.436668i 0.0999840 0.0200993i
\(473\) −11.9456 + 8.14438i −0.549260 + 0.374479i
\(474\) 2.14821 + 0.991821i 0.0986704 + 0.0455558i
\(475\) 19.1934 + 4.38078i 0.880656 + 0.201004i
\(476\) −3.34363 + 26.0404i −0.153255 + 1.19356i
\(477\) −8.51661 + 1.94386i −0.389949 + 0.0890032i
\(478\) −0.597873 0.126269i −0.0273461 0.00577543i
\(479\) 31.5205 + 9.72279i 1.44021 + 0.444246i 0.913862 0.406025i \(-0.133085\pi\)
0.526346 + 0.850270i \(0.323561\pi\)
\(480\) −0.249543 0.425803i −0.0113900 0.0194352i
\(481\) −34.0435 + 10.5010i −1.55225 + 0.478806i
\(482\) −17.0551 + 7.01575i −0.776837 + 0.319558i
\(483\) 0.477268 0.806736i 0.0217164 0.0367078i
\(484\) 50.0226 17.2302i 2.27375 0.783190i
\(485\) 4.47373 + 1.75581i 0.203141 + 0.0797272i
\(486\) −2.04382 + 5.46735i −0.0927098 + 0.248004i
\(487\) 2.55149 0.384576i 0.115619 0.0174268i −0.0909777 0.995853i \(-0.528999\pi\)
0.206597 + 0.978426i \(0.433761\pi\)
\(488\) −4.34855 0.439906i −0.196850 0.0199136i
\(489\) −0.272270 −0.0123125
\(490\) −0.445559 + 5.57250i −0.0201283 + 0.251740i
\(491\) 13.2843i 0.599513i −0.954016 0.299756i \(-0.903095\pi\)
0.954016 0.299756i \(-0.0969054\pi\)
\(492\) −0.418900 2.27464i −0.0188855 0.102549i
\(493\) −4.52621 30.0295i −0.203850 1.35246i
\(494\) −37.3002 13.9437i −1.67821 0.627356i
\(495\) −3.75766 + 9.57435i −0.168894 + 0.430335i
\(496\) −26.0118 6.20468i −1.16796 0.278599i
\(497\) 7.10813 2.70295i 0.318843 0.121244i
\(498\) −2.17024 + 0.892746i −0.0972508 + 0.0400049i
\(499\) 0.372458 + 1.20748i 0.0166735 + 0.0540541i 0.963527 0.267610i \(-0.0862339\pi\)
−0.946854 + 0.321664i \(0.895758\pi\)
\(500\) −10.7333 2.08514i −0.480006 0.0932501i
\(501\) −0.696450 + 2.25784i −0.0311151 + 0.100873i
\(502\) −4.04070 + 19.1323i −0.180345 + 0.853917i
\(503\) 2.88688 + 12.6482i 0.128720 + 0.563957i 0.997619 + 0.0689684i \(0.0219708\pi\)
−0.868899 + 0.494989i \(0.835172\pi\)
\(504\) −22.2551 + 0.849609i −0.991321 + 0.0378446i
\(505\) 0.941664 4.12570i 0.0419035 0.183591i
\(506\) 18.0188 + 8.31921i 0.801031 + 0.369834i
\(507\) −2.76994 4.06276i −0.123017 0.180433i
\(508\) −16.0976 + 8.40761i −0.714216 + 0.373028i
\(509\) 0.482305 0.278459i 0.0213778 0.0123425i −0.489273 0.872131i \(-0.662738\pi\)
0.510651 + 0.859788i \(0.329405\pi\)
\(510\) −0.409038 + 0.455472i −0.0181125 + 0.0201687i
\(511\) −14.3189 15.7647i −0.633430 0.697390i
\(512\) 19.5590 + 11.3775i 0.864393 + 0.502817i
\(513\) 3.20835 + 2.18742i 0.141652 + 0.0965768i
\(514\) −2.22176 + 1.33136i −0.0979975 + 0.0587239i
\(515\) −5.45773 + 5.88203i −0.240496 + 0.259193i
\(516\) −0.288646 0.670490i −0.0127069 0.0295167i
\(517\) −10.6750 22.1668i −0.469485 0.974895i
\(518\) 8.73950 + 17.8891i 0.383991 + 0.786002i
\(519\) −2.22016 1.06917i −0.0974544 0.0469316i
\(520\) 10.1333 + 3.41685i 0.444374 + 0.149839i
\(521\) −4.23263 + 7.33112i −0.185435 + 0.321182i −0.943723 0.330737i \(-0.892703\pi\)
0.758288 + 0.651919i \(0.226036\pi\)
\(522\) 24.4903 7.99262i 1.07191 0.349827i
\(523\) 0.783208 5.19624i 0.0342473 0.227216i −0.965159 0.261663i \(-0.915729\pi\)
0.999407 + 0.0344474i \(0.0109671\pi\)
\(524\) 12.7873 + 12.9127i 0.558617 + 0.564095i
\(525\) 1.20886 1.48326i 0.0527589 0.0647346i
\(526\) −25.3223 1.48405i −1.10411 0.0647077i
\(527\) 2.47881 + 33.0774i 0.107979 + 1.44087i
\(528\) 0.527169 + 3.74516i 0.0229421 + 0.162987i
\(529\) −6.48176 16.5153i −0.281816 0.718055i
\(530\) −0.0381145 2.34380i −0.00165559 0.101808i
\(531\) 1.82274 1.45358i 0.0791001 0.0630802i
\(532\) −4.47578 + 21.7994i −0.194050 + 0.945124i
\(533\) 39.1815 + 31.2462i 1.69714 + 1.35342i
\(534\) −1.35971 + 1.76308i −0.0588403 + 0.0762960i
\(535\) −0.380471 + 5.07703i −0.0164492 + 0.219499i
\(536\) −1.49498 1.25720i −0.0645732 0.0543029i
\(537\) 1.49874 1.39062i 0.0646753 0.0600099i
\(538\) −24.0503 6.99236i −1.03688 0.301462i
\(539\) 19.4032 38.1934i 0.835754 1.64511i
\(540\) −0.880235 0.559098i −0.0378793 0.0240597i
\(541\) −12.4460 13.4136i −0.535095 0.576696i 0.406411 0.913690i \(-0.366780\pi\)
−0.941507 + 0.336995i \(0.890590\pi\)
\(542\) 1.36544 10.1796i 0.0586505 0.437249i
\(543\) −0.186164 + 2.48418i −0.00798906 + 0.106607i
\(544\) 6.06743 27.4033i 0.260139 1.17491i
\(545\) −4.05920 + 5.09008i −0.173877 + 0.218035i
\(546\) −2.82233 + 2.64850i −0.120784 + 0.113345i
\(547\) 23.2370 18.5309i 0.993544 0.792325i 0.0153209 0.999883i \(-0.495123\pi\)
0.978223 + 0.207558i \(0.0665516\pi\)
\(548\) −35.3482 9.65662i −1.51000 0.412510i
\(549\) −4.28108 + 1.68020i −0.182712 + 0.0717092i
\(550\) 33.8412 + 22.2753i 1.44300 + 0.949821i
\(551\) −1.92368 25.6697i −0.0819514 1.09357i
\(552\) −0.585828 + 0.812975i −0.0249345 + 0.0346025i
\(553\) 12.1564 + 25.9446i 0.516944 + 1.10328i
\(554\) −11.5171 + 20.7191i −0.489315 + 0.880269i
\(555\) −0.0691922 + 0.459060i −0.00293705 + 0.0194860i
\(556\) −0.357740 10.9965i −0.0151715 0.466354i
\(557\) −30.6514 17.6966i −1.29874 0.749829i −0.318555 0.947904i \(-0.603198\pi\)
−0.980187 + 0.198076i \(0.936531\pi\)
\(558\) −27.3271 + 6.70652i −1.15685 + 0.283910i
\(559\) 14.2507 + 6.86276i 0.602739 + 0.290264i
\(560\) 1.01097 5.89013i 0.0427213 0.248904i
\(561\) 4.22669 2.03547i 0.178451 0.0859375i
\(562\) 12.4828 10.2911i 0.526555 0.434106i
\(563\) 30.2736 32.6272i 1.27588 1.37507i 0.383661 0.923474i \(-0.374663\pi\)
0.892221 0.451599i \(-0.149146\pi\)
\(564\) 1.20146 0.315655i 0.0505905 0.0132915i
\(565\) 4.30694 6.31712i 0.181194 0.265763i
\(566\) 38.1070 6.37903i 1.60176 0.268131i
\(567\) −20.2530 + 11.4079i −0.850546 + 0.479088i
\(568\) −7.82829 + 2.19337i −0.328468 + 0.0920319i
\(569\) −3.35924 5.81838i −0.140827 0.243919i 0.786981 0.616977i \(-0.211643\pi\)
−0.927808 + 0.373057i \(0.878309\pi\)
\(570\) −0.374599 + 0.359087i −0.0156902 + 0.0150405i
\(571\) −8.24621 12.0950i −0.345093 0.506159i 0.613978 0.789323i \(-0.289568\pi\)
−0.959071 + 0.283164i \(0.908616\pi\)
\(572\) −61.8535 53.7568i −2.58623 2.24768i
\(573\) 1.76650 + 0.403193i 0.0737968 + 0.0168436i
\(574\) 13.8665 24.3332i 0.578776 1.01565i
\(575\) 2.38860 + 10.4651i 0.0996115 + 0.436426i
\(576\) 23.7768 + 1.23840i 0.990701 + 0.0516000i
\(577\) 1.85481 + 0.572132i 0.0772166 + 0.0238182i 0.333123 0.942883i \(-0.391898\pi\)
−0.255906 + 0.966702i \(0.582374\pi\)
\(578\) −10.7279 + 0.979590i −0.446220 + 0.0407456i
\(579\) 0.483078 + 1.56610i 0.0200760 + 0.0650849i
\(580\) 0.740466 + 6.87306i 0.0307462 + 0.285388i
\(581\) −27.0631 8.66379i −1.12277 0.359434i
\(582\) 1.51916 1.07234i 0.0629713 0.0444499i
\(583\) −6.56276 + 16.7216i −0.271802 + 0.692539i
\(584\) 13.7273 + 18.1635i 0.568040 + 0.751610i
\(585\) 11.1266 1.67707i 0.460029 0.0693382i
\(586\) −9.42899 + 4.73114i −0.389508 + 0.195442i
\(587\) 4.96279i 0.204836i −0.994741 0.102418i \(-0.967342\pi\)
0.994741 0.102418i \(-0.0326579\pi\)
\(588\) 1.70618 + 1.32945i 0.0703618 + 0.0548255i
\(589\) 28.1163i 1.15851i
\(590\) 0.280565 + 0.559156i 0.0115507 + 0.0230201i
\(591\) −0.637946 + 0.0961549i −0.0262416 + 0.00395528i
\(592\) −7.58237 19.8881i −0.311633 0.817394i
\(593\) −5.24114 + 13.3542i −0.215228 + 0.548391i −0.997188 0.0749366i \(-0.976125\pi\)
0.781961 + 0.623328i \(0.214220\pi\)
\(594\) 4.60830 + 6.52848i 0.189081 + 0.267867i
\(595\) −7.34146 + 1.02691i −0.300971 + 0.0420990i
\(596\) −14.6336 + 1.57655i −0.599417 + 0.0645779i
\(597\) 0.600744 + 1.94757i 0.0245868 + 0.0797085i
\(598\) −1.97440 21.6224i −0.0807392 0.884205i
\(599\) 23.7933 + 7.33927i 0.972168 + 0.299874i 0.739855 0.672767i \(-0.234894\pi\)
0.232314 + 0.972641i \(0.425370\pi\)
\(600\) −1.42989 + 1.46282i −0.0583752 + 0.0597193i
\(601\) 3.30801 + 14.4933i 0.134937 + 0.591196i 0.996503 + 0.0835516i \(0.0266263\pi\)
−0.861567 + 0.507644i \(0.830517\pi\)
\(602\) 2.55780 8.46121i 0.104248 0.344853i
\(603\) −2.00381 0.457356i −0.0816014 0.0186250i
\(604\) −7.40577 6.43634i −0.301337 0.261891i
\(605\) 8.41508 + 12.3427i 0.342122 + 0.501800i
\(606\) −1.13306 1.18200i −0.0460272 0.0480156i
\(607\) −3.39956 5.88821i −0.137984 0.238995i 0.788749 0.614715i \(-0.210729\pi\)
−0.926733 + 0.375720i \(0.877396\pi\)
\(608\) 6.86446 22.7788i 0.278391 0.923803i
\(609\) −2.31916 0.938757i −0.0939771 0.0380403i
\(610\) −0.203749 1.21715i −0.00824955 0.0492811i
\(611\) −15.1625 + 22.2393i −0.613409 + 0.899706i
\(612\) −7.50433 28.5633i −0.303345 1.15460i
\(613\) 6.10109 6.57541i 0.246421 0.265578i −0.597714 0.801709i \(-0.703924\pi\)
0.844135 + 0.536131i \(0.180115\pi\)
\(614\) −26.0459 31.5927i −1.05113 1.27498i
\(615\) 0.588377 0.283347i 0.0237256 0.0114257i
\(616\) −24.3362 + 38.7961i −0.980535 + 1.56314i
\(617\) −21.0621 10.1430i −0.847928 0.408340i −0.0411197 0.999154i \(-0.513092\pi\)
−0.806808 + 0.590814i \(0.798807\pi\)
\(618\) 0.739972 + 3.01517i 0.0297660 + 0.121288i
\(619\) −8.31967 4.80336i −0.334396 0.193064i 0.323395 0.946264i \(-0.395176\pi\)
−0.657791 + 0.753200i \(0.728509\pi\)
\(620\) −0.245506 7.54655i −0.00985976 0.303077i
\(621\) −0.315557 + 2.09358i −0.0126629 + 0.0840126i
\(622\) −9.66681 5.37348i −0.387604 0.215457i
\(623\) −26.3469 + 5.71973i −1.05557 + 0.229156i
\(624\) 3.25996 2.54809i 0.130503 0.102005i
\(625\) 1.51839 + 20.2615i 0.0607356 + 0.810461i
\(626\) −6.02357 + 9.15118i −0.240750 + 0.365755i
\(627\) 3.70163 1.45278i 0.147829 0.0580185i
\(628\) −4.64733 + 17.0116i −0.185448 + 0.678837i
\(629\) −20.6412 + 16.4608i −0.823020 + 0.656336i
\(630\) −1.88736 5.99843i −0.0751944 0.238983i
\(631\) 6.82364 8.55657i 0.271645 0.340632i −0.627233 0.778832i \(-0.715812\pi\)
0.898877 + 0.438200i \(0.144384\pi\)
\(632\) −10.4447 28.7938i −0.415467 1.14535i
\(633\) −0.0885362 + 1.18143i −0.00351900 + 0.0469577i
\(634\) 15.1770 + 2.03577i 0.602757 + 0.0808509i
\(635\) −3.48778 3.75893i −0.138408 0.149169i
\(636\) −0.765597 0.486283i −0.0303579 0.0192824i
\(637\) −46.7997 + 2.50863i −1.85427 + 0.0993956i
\(638\) 14.7893 50.8681i 0.585515 2.01389i
\(639\) −6.27075 + 5.81841i −0.248067 + 0.230173i
\(640\) −1.64355 + 6.17387i −0.0649670 + 0.244044i
\(641\) 1.20591 16.0918i 0.0476306 0.635586i −0.921395 0.388627i \(-0.872950\pi\)
0.969026 0.246959i \(-0.0794314\pi\)
\(642\) 1.55990 + 1.20301i 0.0615643 + 0.0474790i
\(643\) 3.01173 + 2.40177i 0.118771 + 0.0947166i 0.681074 0.732215i \(-0.261513\pi\)
−0.562303 + 0.826931i \(0.690085\pi\)
\(644\) −11.7678 + 2.95843i −0.463716 + 0.116578i
\(645\) 0.161145 0.128509i 0.00634506 0.00506002i
\(646\) −29.5059 + 0.479820i −1.16090 + 0.0188783i
\(647\) −1.36933 3.48899i −0.0538338 0.137166i 0.901427 0.432931i \(-0.142521\pi\)
−0.955261 + 0.295765i \(0.904425\pi\)
\(648\) 22.6618 10.1958i 0.890241 0.400530i
\(649\) −0.358262 4.78067i −0.0140630 0.187658i
\(650\) 2.59318 44.2474i 0.101713 1.73552i
\(651\) 2.44939 + 1.21179i 0.0959993 + 0.0474937i
\(652\) 2.48005 + 2.50437i 0.0971262 + 0.0980787i
\(653\) −1.92978 + 12.8032i −0.0755181 + 0.501030i 0.918812 + 0.394695i \(0.129150\pi\)
−0.994330 + 0.106335i \(0.966088\pi\)
\(654\) 0.781533 + 2.39471i 0.0305603 + 0.0936405i
\(655\) −2.56558 + 4.44371i −0.100245 + 0.173630i
\(656\) −17.1067 + 24.5723i −0.667905 + 0.959387i
\(657\) 21.5838 + 10.3942i 0.842065 + 0.405517i
\(658\) 13.5891 + 6.45007i 0.529760 + 0.251450i
\(659\) −1.86922 3.88148i −0.0728146 0.151201i 0.861384 0.507954i \(-0.169598\pi\)
−0.934199 + 0.356753i \(0.883884\pi\)
\(660\) −0.980848 + 0.422255i −0.0381795 + 0.0164363i
\(661\) 30.6391 33.0210i 1.19172 1.28437i 0.242359 0.970187i \(-0.422079\pi\)
0.949362 0.314183i \(-0.101731\pi\)
\(662\) 12.5783 + 20.9905i 0.488869 + 0.815818i
\(663\) −4.24052 2.89113i −0.164688 0.112282i
\(664\) 27.9799 + 11.8303i 1.08583 + 0.459104i
\(665\) −6.27056 + 0.402973i −0.243162 + 0.0156266i
\(666\) −16.6629 14.9641i −0.645674 0.579849i
\(667\) 12.1551 7.01777i 0.470649 0.271729i
\(668\) 27.1117 14.1601i 1.04898 0.547872i
\(669\) 1.45210 + 2.12984i 0.0561414 + 0.0823444i
\(670\) 0.231188 0.500735i 0.00893157 0.0193451i
\(671\) −2.10440 + 9.21996i −0.0812393 + 0.355933i
\(672\) −1.68856 1.57975i −0.0651375 0.0609403i
\(673\) 6.03421 + 26.4376i 0.232602 + 1.01910i 0.947472 + 0.319838i \(0.103629\pi\)
−0.714870 + 0.699257i \(0.753514\pi\)
\(674\) −33.6992 7.11719i −1.29804 0.274144i
\(675\) −1.27396 + 4.13007i −0.0490347 + 0.158966i
\(676\) −12.1389 + 62.4851i −0.466881 + 2.40327i
\(677\) −5.62486 18.2353i −0.216181 0.700841i −0.997093 0.0761998i \(-0.975721\pi\)
0.780912 0.624642i \(-0.214755\pi\)
\(678\) −1.12540 2.73581i −0.0432206 0.105068i
\(679\) 22.4347 + 1.92113i 0.860965 + 0.0737261i
\(680\) 7.91533 0.386426i 0.303539 0.0148187i
\(681\) −0.346301 + 0.882359i −0.0132703 + 0.0338121i
\(682\) −20.2605 + 54.1981i −0.775816 + 2.07535i
\(683\) 0.653336 + 4.33460i 0.0249992 + 0.165859i 0.997847 0.0655877i \(-0.0208922\pi\)
−0.972848 + 0.231447i \(0.925654\pi\)
\(684\) −4.53387 24.6190i −0.173357 0.941332i
\(685\) 10.3464i 0.395314i
\(686\) 5.42886 + 25.6228i 0.207275 + 0.978283i
\(687\) −1.39629 −0.0532716
\(688\) −3.53803 + 8.76235i −0.134886 + 0.334062i
\(689\) 19.4327 2.92900i 0.740325 0.111586i
\(690\) −0.265021 0.0990711i −0.0100892 0.00377157i
\(691\) −27.2332 10.6882i −1.03600 0.406600i −0.214449 0.976735i \(-0.568796\pi\)
−0.821551 + 0.570135i \(0.806891\pi\)
\(692\) 10.3886 + 30.1602i 0.394916 + 1.14652i
\(693\) −4.11146 + 48.0132i −0.156182 + 1.82387i
\(694\) 3.60257 + 8.75775i 0.136752 + 0.332440i
\(695\) 2.96850 0.915662i 0.112602 0.0347330i
\(696\) 2.37881 + 1.22281i 0.0901687 + 0.0463505i
\(697\) 35.4882 + 10.9467i 1.34421 + 0.414635i
\(698\) 1.38075 6.53770i 0.0522621 0.247456i
\(699\) −0.354291 + 0.0808647i −0.0134005 + 0.00305858i
\(700\) −24.6544 + 2.39146i −0.931848 + 0.0903887i
\(701\) 45.5794 + 10.4032i 1.72151 + 0.392924i 0.965247 0.261341i \(-0.0841647\pi\)
0.756265 + 0.654265i \(0.227022\pi\)
\(702\) 3.66459 7.93721i 0.138311 0.299571i
\(703\) −18.4901 + 12.6063i −0.697368 + 0.475457i
\(704\) 29.6465 38.9628i 1.11735 1.46847i
\(705\) 0.175373 + 0.303755i 0.00660493 + 0.0114401i
\(706\) −7.50848 + 8.36086i −0.282586 + 0.314665i
\(707\) −1.27153 19.7860i −0.0478210 0.744130i
\(708\) 0.240398 + 0.0282748i 0.00903470 + 0.00106263i
\(709\) −7.84984 + 11.5136i −0.294807 + 0.432403i −0.944854 0.327491i \(-0.893797\pi\)
0.650047 + 0.759894i \(0.274749\pi\)
\(710\) −1.17990 1.96900i −0.0442808 0.0738951i
\(711\) −23.6256 21.9214i −0.886029 0.822115i
\(712\) 28.6023 3.55281i 1.07192 0.133147i
\(713\) −13.8121 + 6.65157i −0.517268 + 0.249103i
\(714\) −1.22988 + 2.59113i −0.0460270 + 0.0969706i
\(715\) 10.0394 20.8470i 0.375453 0.779635i
\(716\) −26.4428 1.11864i −0.988215 0.0418057i
\(717\) −0.0578130 0.0333783i −0.00215907 0.00124654i
\(718\) 14.4516 + 44.2816i 0.539330 + 1.65257i
\(719\) 4.54941 + 0.685714i 0.169665 + 0.0255728i 0.233325 0.972399i \(-0.425039\pi\)
−0.0636605 + 0.997972i \(0.520277\pi\)
\(720\) 1.43188 + 6.56827i 0.0533629 + 0.244785i
\(721\) −16.6704 + 33.6960i −0.620839 + 1.25491i
\(722\) 1.85316 + 0.108607i 0.0689675 + 0.00404194i
\(723\) −2.00907 + 0.150559i −0.0747180 + 0.00559934i
\(724\) 24.5455 20.9156i 0.912228 0.777321i
\(725\) 26.6713 10.4677i 0.990549 0.388762i
\(726\) 5.77916 0.0939796i 0.214485 0.00348791i
\(727\) −24.1259 30.2530i −0.894781 1.12202i −0.991935 0.126751i \(-0.959545\pi\)
0.0971536 0.995269i \(-0.469026\pi\)
\(728\) 50.0692 + 1.83548i 1.85569 + 0.0680273i
\(729\) 16.0359 20.1084i 0.593922 0.744754i
\(730\) −3.92579 + 5.09043i −0.145300 + 0.188405i
\(731\) 11.6886 + 0.875937i 0.432317 + 0.0323977i
\(732\) −0.436714 0.193078i −0.0161414 0.00713637i
\(733\) −10.3762 11.1829i −0.383254 0.413050i 0.511731 0.859146i \(-0.329005\pi\)
−0.894985 + 0.446096i \(0.852814\pi\)
\(734\) −13.7307 + 47.2270i −0.506810 + 1.74318i
\(735\) −0.235150 + 0.563636i −0.00867363 + 0.0207900i
\(736\) 12.8140 2.01670i 0.472331 0.0743365i
\(737\) −3.09822 + 2.87473i −0.114124 + 0.105892i
\(738\) −4.18830 + 31.2245i −0.154173 + 1.14939i
\(739\) 36.6825 + 2.74897i 1.34939 + 0.101123i 0.729723 0.683743i \(-0.239649\pi\)
0.619665 + 0.784866i \(0.287268\pi\)
\(740\) 4.85275 3.54505i 0.178391 0.130319i
\(741\) −3.40124 2.71240i −0.124948 0.0996425i
\(742\) −3.29629 10.4763i −0.121011 0.384597i
\(743\) 5.19664 + 6.51637i 0.190646 + 0.239063i 0.867963 0.496629i \(-0.165429\pi\)
−0.677317 + 0.735691i \(0.736857\pi\)
\(744\) −2.49118 1.52605i −0.0913312 0.0559476i
\(745\) −1.51826 3.86847i −0.0556249 0.141730i
\(746\) −32.1276 21.1473i −1.17627 0.774258i
\(747\) 31.8751 2.38871i 1.16625 0.0873982i
\(748\) −57.2225 20.3370i −2.09226 0.743593i
\(749\) 5.06057 + 23.3106i 0.184909 + 0.851752i
\(750\) −1.04404 0.580350i −0.0381230 0.0211914i
\(751\) 28.9433 + 4.36250i 1.05616 + 0.159190i 0.654087 0.756419i \(-0.273053\pi\)
0.402069 + 0.915609i \(0.368291\pi\)
\(752\) −13.8473 8.17591i −0.504957 0.298145i
\(753\) −1.06813 + 1.85005i −0.0389247 + 0.0674196i
\(754\) −56.2845 + 13.8131i −2.04976 + 0.503044i
\(755\) 1.20203 2.49603i 0.0437462 0.0908400i
\(756\) −4.69902 1.33751i −0.170902 0.0486448i
\(757\) 22.4704 + 46.6603i 0.816702 + 1.69590i 0.712861 + 0.701305i \(0.247399\pi\)
0.103841 + 0.994594i \(0.466887\pi\)
\(758\) 21.7861 + 26.4257i 0.791306 + 0.959825i
\(759\) 1.58938 + 1.47473i 0.0576910 + 0.0535294i
\(760\) 6.71507 + 0.174757i 0.243581 + 0.00633909i
\(761\) 11.7617 + 8.01898i 0.426361 + 0.290688i 0.757427 0.652920i \(-0.226456\pi\)
−0.331066 + 0.943607i \(0.607408\pi\)
\(762\) −1.95681 + 0.327565i −0.0708876 + 0.0118664i
\(763\) −11.4449 + 28.2743i −0.414335 + 1.02360i
\(764\) −12.3821 19.9211i −0.447969 0.720721i
\(765\) 7.22144 4.16930i 0.261092 0.150741i
\(766\) −0.412952 0.430791i −0.0149206 0.0155651i
\(767\) −4.33344 + 2.95449i −0.156471 + 0.106680i
\(768\) 1.64569 + 1.84456i 0.0593837 + 0.0665597i
\(769\) −9.60205 + 42.0693i −0.346259 + 1.51706i 0.439339 + 0.898321i \(0.355213\pi\)
−0.785598 + 0.618737i \(0.787645\pi\)
\(770\) −12.3778 3.74176i −0.446063 0.134844i
\(771\) −0.275869 + 0.0629652i −0.00993517 + 0.00226764i
\(772\) 10.0049 18.7087i