Properties

Label 546.2.bg.b.311.7
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.7
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.924091 + 1.46494i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-3.23425 + 1.86729i) q^{5} +(-1.73072 - 0.0678152i) q^{6} +(0.481958 + 2.60148i) q^{7} -1.00000 q^{8} +(-1.29211 - 2.70748i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.924091 + 1.46494i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-3.23425 + 1.86729i) q^{5} +(-1.73072 - 0.0678152i) q^{6} +(0.481958 + 2.60148i) q^{7} -1.00000 q^{8} +(-1.29211 - 2.70748i) q^{9} +(-3.23425 - 1.86729i) q^{10} +(0.664055 - 1.15018i) q^{11} +(-0.806632 - 1.53276i) q^{12} +(0.452687 - 3.57702i) q^{13} +(-2.01197 + 1.71813i) q^{14} +(0.253262 - 6.46353i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.49232 + 4.31682i) q^{17} +(1.69869 - 2.47274i) q^{18} +(2.36598 + 4.09800i) q^{19} -3.73459i q^{20} +(-4.25640 - 1.69797i) q^{21} +1.32811 q^{22} +(1.00204 - 0.578526i) q^{23} +(0.924091 - 1.46494i) q^{24} +(4.47357 - 7.74844i) q^{25} +(3.32413 - 1.39647i) q^{26} +(5.16033 + 0.609089i) q^{27} +(-2.49393 - 0.883354i) q^{28} -6.29862i q^{29} +(5.72421 - 3.01244i) q^{30} +(1.66752 - 2.88823i) q^{31} +(0.500000 - 0.866025i) q^{32} +(1.07130 + 2.03567i) q^{33} -4.98464 q^{34} +(-6.41650 - 7.51388i) q^{35} +(2.99080 + 0.234739i) q^{36} +(-7.87543 + 4.54688i) q^{37} +(-2.36598 + 4.09800i) q^{38} +(4.82180 + 3.96865i) q^{39} +(3.23425 - 1.86729i) q^{40} +4.38044i q^{41} +(-0.657716 - 4.53513i) q^{42} -9.54856 q^{43} +(0.664055 + 1.15018i) q^{44} +(9.23466 + 6.34391i) q^{45} +(1.00204 + 0.578526i) q^{46} +(-6.95231 + 4.01392i) q^{47} +(1.73072 + 0.0678152i) q^{48} +(-6.53543 + 2.50761i) q^{49} +8.94713 q^{50} +(-4.02077 - 7.64024i) q^{51} +(2.87145 + 2.18055i) q^{52} +(1.36514 + 0.788163i) q^{53} +(2.05268 + 4.77352i) q^{54} +4.95994i q^{55} +(-0.481958 - 2.60148i) q^{56} +(-8.18971 - 0.320899i) q^{57} +(5.45477 - 3.14931i) q^{58} +(-9.31553 - 5.37832i) q^{59} +(5.47095 + 3.45110i) q^{60} +(4.85105 - 2.80076i) q^{61} +3.33504 q^{62} +(6.42072 - 4.66630i) q^{63} +1.00000 q^{64} +(5.21524 + 12.4143i) q^{65} +(-1.22729 + 1.94560i) q^{66} +(-3.51817 - 2.03122i) q^{67} +(-2.49232 - 4.31682i) q^{68} +(-0.0784657 + 2.00253i) q^{69} +(3.29896 - 9.31379i) q^{70} +9.95545 q^{71} +(1.29211 + 2.70748i) q^{72} +(-7.21154 + 12.4907i) q^{73} +(-7.87543 - 4.54688i) q^{74} +(7.21704 + 13.7138i) q^{75} -4.73196 q^{76} +(3.31221 + 1.17319i) q^{77} +(-1.02605 + 6.16013i) q^{78} +(7.22510 + 12.5142i) q^{79} +(3.23425 + 1.86729i) q^{80} +(-5.66090 + 6.99673i) q^{81} +(-3.79357 + 2.19022i) q^{82} -6.74642i q^{83} +(3.59868 - 2.83716i) q^{84} -18.6156i q^{85} +(-4.77428 - 8.26929i) q^{86} +(9.22711 + 5.82050i) q^{87} +(-0.664055 + 1.15018i) q^{88} +(2.55804 - 1.47689i) q^{89} +(-0.876652 + 11.1694i) q^{90} +(9.52374 - 0.546316i) q^{91} +1.15705i q^{92} +(2.69015 + 5.11180i) q^{93} +(-6.95231 - 4.01392i) q^{94} +(-15.3043 - 8.83595i) q^{95} +(0.806632 + 1.53276i) q^{96} -9.79404 q^{97} +(-5.43937 - 4.40604i) q^{98} +(-3.97212 - 0.311759i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + 14q^{15} - 18q^{16} - 4q^{18} - 23q^{21} + 14q^{25} + 6q^{26} + 7q^{30} + 18q^{32} - 24q^{33} - 8q^{36} + 10q^{39} - 16q^{42} - 16q^{43} + 9q^{45} - 72q^{47} + 12q^{49} + 28q^{50} - 3q^{51} + 6q^{52} - 9q^{54} + 8q^{57} - 24q^{59} - 7q^{60} - 36q^{61} + 39q^{63} + 36q^{64} - 18q^{65} - 24q^{66} + 72q^{71} - 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} + 7q^{84} - 8q^{86} - 24q^{87} + 72q^{89} - 2q^{91} + 14q^{93} - 72q^{94} + 12q^{98} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −0.924091 + 1.46494i −0.533524 + 0.845785i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −3.23425 + 1.86729i −1.44640 + 0.835079i −0.998265 0.0588875i \(-0.981245\pi\)
−0.448134 + 0.893966i \(0.647911\pi\)
\(6\) −1.73072 0.0678152i −0.706565 0.0276854i
\(7\) 0.481958 + 2.60148i 0.182163 + 0.983268i
\(8\) −1.00000 −0.353553
\(9\) −1.29211 2.70748i −0.430704 0.902493i
\(10\) −3.23425 1.86729i −1.02276 0.590490i
\(11\) 0.664055 1.15018i 0.200220 0.346791i −0.748379 0.663271i \(-0.769168\pi\)
0.948599 + 0.316480i \(0.102501\pi\)
\(12\) −0.806632 1.53276i −0.232855 0.442469i
\(13\) 0.452687 3.57702i 0.125553 0.992087i
\(14\) −2.01197 + 1.71813i −0.537722 + 0.459189i
\(15\) 0.253262 6.46353i 0.0653919 1.66888i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.49232 + 4.31682i −0.604476 + 1.04698i 0.387658 + 0.921803i \(0.373284\pi\)
−0.992134 + 0.125180i \(0.960049\pi\)
\(18\) 1.69869 2.47274i 0.400385 0.582831i
\(19\) 2.36598 + 4.09800i 0.542793 + 0.940145i 0.998742 + 0.0501391i \(0.0159665\pi\)
−0.455949 + 0.890006i \(0.650700\pi\)
\(20\) 3.73459i 0.835079i
\(21\) −4.25640 1.69797i −0.928822 0.370527i
\(22\) 1.32811 0.283154
\(23\) 1.00204 0.578526i 0.208939 0.120631i −0.391879 0.920017i \(-0.628175\pi\)
0.600818 + 0.799386i \(0.294842\pi\)
\(24\) 0.924091 1.46494i 0.188629 0.299030i
\(25\) 4.47357 7.74844i 0.894713 1.54969i
\(26\) 3.32413 1.39647i 0.651916 0.273871i
\(27\) 5.16033 + 0.609089i 0.993106 + 0.117219i
\(28\) −2.49393 0.883354i −0.471308 0.166938i
\(29\) 6.29862i 1.16962i −0.811169 0.584812i \(-0.801168\pi\)
0.811169 0.584812i \(-0.198832\pi\)
\(30\) 5.72421 3.01244i 1.04509 0.549993i
\(31\) 1.66752 2.88823i 0.299495 0.518741i −0.676525 0.736419i \(-0.736515\pi\)
0.976021 + 0.217679i \(0.0698485\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 1.07130 + 2.03567i 0.186489 + 0.354365i
\(34\) −4.98464 −0.854858
\(35\) −6.41650 7.51388i −1.08459 1.27008i
\(36\) 2.99080 + 0.234739i 0.498467 + 0.0391231i
\(37\) −7.87543 + 4.54688i −1.29471 + 0.747503i −0.979486 0.201514i \(-0.935414\pi\)
−0.315227 + 0.949016i \(0.602081\pi\)
\(38\) −2.36598 + 4.09800i −0.383812 + 0.664783i
\(39\) 4.82180 + 3.96865i 0.772107 + 0.635493i
\(40\) 3.23425 1.86729i 0.511379 0.295245i
\(41\) 4.38044i 0.684109i 0.939680 + 0.342055i \(0.111123\pi\)
−0.939680 + 0.342055i \(0.888877\pi\)
\(42\) −0.657716 4.53513i −0.101488 0.699786i
\(43\) −9.54856 −1.45614 −0.728071 0.685502i \(-0.759583\pi\)
−0.728071 + 0.685502i \(0.759583\pi\)
\(44\) 0.664055 + 1.15018i 0.100110 + 0.173396i
\(45\) 9.23466 + 6.34391i 1.37662 + 0.945694i
\(46\) 1.00204 + 0.578526i 0.147742 + 0.0852990i
\(47\) −6.95231 + 4.01392i −1.01410 + 0.585490i −0.912389 0.409324i \(-0.865765\pi\)
−0.101710 + 0.994814i \(0.532431\pi\)
\(48\) 1.73072 + 0.0678152i 0.249808 + 0.00978828i
\(49\) −6.53543 + 2.50761i −0.933633 + 0.358230i
\(50\) 8.94713 1.26532
\(51\) −4.02077 7.64024i −0.563020 1.06985i
\(52\) 2.87145 + 2.18055i 0.398198 + 0.302388i
\(53\) 1.36514 + 0.788163i 0.187516 + 0.108263i 0.590819 0.806804i \(-0.298805\pi\)
−0.403303 + 0.915066i \(0.632138\pi\)
\(54\) 2.05268 + 4.77352i 0.279334 + 0.649594i
\(55\) 4.95994i 0.668798i
\(56\) −0.481958 2.60148i −0.0644044 0.347638i
\(57\) −8.18971 0.320899i −1.08475 0.0425041i
\(58\) 5.45477 3.14931i 0.716246 0.413525i
\(59\) −9.31553 5.37832i −1.21278 0.700198i −0.249415 0.968397i \(-0.580238\pi\)
−0.963364 + 0.268199i \(0.913572\pi\)
\(60\) 5.47095 + 3.45110i 0.706297 + 0.445535i
\(61\) 4.85105 2.80076i 0.621113 0.358600i −0.156189 0.987727i \(-0.549921\pi\)
0.777302 + 0.629127i \(0.216588\pi\)
\(62\) 3.33504 0.423550
\(63\) 6.42072 4.66630i 0.808935 0.587898i
\(64\) 1.00000 0.125000
\(65\) 5.21524 + 12.4143i 0.646871 + 1.53980i
\(66\) −1.22729 + 1.94560i −0.151070 + 0.239487i
\(67\) −3.51817 2.03122i −0.429813 0.248153i 0.269454 0.963013i \(-0.413157\pi\)
−0.699267 + 0.714861i \(0.746490\pi\)
\(68\) −2.49232 4.31682i −0.302238 0.523491i
\(69\) −0.0784657 + 2.00253i −0.00944616 + 0.241077i
\(70\) 3.29896 9.31379i 0.394301 1.11321i
\(71\) 9.95545 1.18150 0.590748 0.806856i \(-0.298833\pi\)
0.590748 + 0.806856i \(0.298833\pi\)
\(72\) 1.29211 + 2.70748i 0.152277 + 0.319080i
\(73\) −7.21154 + 12.4907i −0.844046 + 1.46193i 0.0424005 + 0.999101i \(0.486499\pi\)
−0.886447 + 0.462830i \(0.846834\pi\)
\(74\) −7.87543 4.54688i −0.915500 0.528564i
\(75\) 7.21704 + 13.7138i 0.833352 + 1.58353i
\(76\) −4.73196 −0.542793
\(77\) 3.31221 + 1.17319i 0.377462 + 0.133698i
\(78\) −1.02605 + 6.16013i −0.116178 + 0.697498i
\(79\) 7.22510 + 12.5142i 0.812888 + 1.40796i 0.910835 + 0.412771i \(0.135439\pi\)
−0.0979473 + 0.995192i \(0.531228\pi\)
\(80\) 3.23425 + 1.86729i 0.361600 + 0.208770i
\(81\) −5.66090 + 6.99673i −0.628988 + 0.777415i
\(82\) −3.79357 + 2.19022i −0.418930 + 0.241869i
\(83\) 6.74642i 0.740516i −0.928929 0.370258i \(-0.879269\pi\)
0.928929 0.370258i \(-0.120731\pi\)
\(84\) 3.59868 2.83716i 0.392648 0.309560i
\(85\) 18.6156i 2.01914i
\(86\) −4.77428 8.26929i −0.514824 0.891701i
\(87\) 9.22711 + 5.82050i 0.989251 + 0.624023i
\(88\) −0.664055 + 1.15018i −0.0707885 + 0.122609i
\(89\) 2.55804 1.47689i 0.271152 0.156550i −0.358259 0.933622i \(-0.616629\pi\)
0.629411 + 0.777072i \(0.283296\pi\)
\(90\) −0.876652 + 11.1694i −0.0924072 + 1.17736i
\(91\) 9.52374 0.546316i 0.998359 0.0572695i
\(92\) 1.15705i 0.120631i
\(93\) 2.69015 + 5.11180i 0.278955 + 0.530069i
\(94\) −6.95231 4.01392i −0.717076 0.414004i
\(95\) −15.3043 8.83595i −1.57019 0.906550i
\(96\) 0.806632 + 1.53276i 0.0823265 + 0.156436i
\(97\) −9.79404 −0.994434 −0.497217 0.867626i \(-0.665645\pi\)
−0.497217 + 0.867626i \(0.665645\pi\)
\(98\) −5.43937 4.40604i −0.549460 0.445078i
\(99\) −3.97212 0.311759i −0.399213 0.0313329i
\(100\) 4.47357 + 7.74844i 0.447357 + 0.774844i
\(101\) −4.68518 + 8.11497i −0.466193 + 0.807470i −0.999254 0.0386068i \(-0.987708\pi\)
0.533062 + 0.846076i \(0.321041\pi\)
\(102\) 4.60626 7.30220i 0.456087 0.723026i
\(103\) −0.155999 + 0.0900661i −0.0153710 + 0.00887448i −0.507666 0.861554i \(-0.669492\pi\)
0.492295 + 0.870429i \(0.336158\pi\)
\(104\) −0.452687 + 3.57702i −0.0443896 + 0.350756i
\(105\) 16.9368 2.45630i 1.65287 0.239710i
\(106\) 1.57633i 0.153106i
\(107\) −5.15442 + 2.97590i −0.498296 + 0.287691i −0.728010 0.685567i \(-0.759554\pi\)
0.229714 + 0.973258i \(0.426221\pi\)
\(108\) −3.10765 + 4.16443i −0.299034 + 0.400723i
\(109\) 10.3694 + 5.98679i 0.993211 + 0.573431i 0.906233 0.422780i \(-0.138946\pi\)
0.0869783 + 0.996210i \(0.472279\pi\)
\(110\) −4.29544 + 2.47997i −0.409554 + 0.236456i
\(111\) 0.616695 15.7388i 0.0585341 1.49386i
\(112\) 2.01197 1.71813i 0.190113 0.162348i
\(113\) 1.47456i 0.138714i 0.997592 + 0.0693572i \(0.0220948\pi\)
−0.997592 + 0.0693572i \(0.977905\pi\)
\(114\) −3.81695 7.25294i −0.357490 0.679300i
\(115\) −2.16055 + 3.74219i −0.201473 + 0.348961i
\(116\) 5.45477 + 3.14931i 0.506462 + 0.292406i
\(117\) −10.2696 + 3.39627i −0.949428 + 0.313985i
\(118\) 10.7566i 0.990230i
\(119\) −12.4313 4.40320i −1.13958 0.403640i
\(120\) −0.253262 + 6.46353i −0.0231195 + 0.590037i
\(121\) 4.61806 + 7.99872i 0.419824 + 0.727156i
\(122\) 4.85105 + 2.80076i 0.439193 + 0.253568i
\(123\) −6.41709 4.04792i −0.578609 0.364989i
\(124\) 1.66752 + 2.88823i 0.149748 + 0.259370i
\(125\) 14.7409i 1.31847i
\(126\) 7.25149 + 3.22736i 0.646014 + 0.287516i
\(127\) 10.6040 0.940957 0.470479 0.882411i \(-0.344081\pi\)
0.470479 + 0.882411i \(0.344081\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 8.82373 13.9881i 0.776887 1.23158i
\(130\) −8.14345 + 10.7237i −0.714227 + 0.940528i
\(131\) 0.258515 + 0.447761i 0.0225865 + 0.0391210i 0.877098 0.480312i \(-0.159477\pi\)
−0.854511 + 0.519433i \(0.826143\pi\)
\(132\) −2.29859 0.0900661i −0.200067 0.00783925i
\(133\) −9.52057 + 8.13012i −0.825538 + 0.704971i
\(134\) 4.06244i 0.350941i
\(135\) −17.8271 + 7.66590i −1.53431 + 0.659776i
\(136\) 2.49232 4.31682i 0.213714 0.370164i
\(137\) 0.694033 1.20210i 0.0592953 0.102702i −0.834854 0.550471i \(-0.814448\pi\)
0.894149 + 0.447769i \(0.147781\pi\)
\(138\) −1.77348 + 0.933314i −0.150969 + 0.0794490i
\(139\) 12.9034i 1.09445i −0.836985 0.547226i \(-0.815684\pi\)
0.836985 0.547226i \(-0.184316\pi\)
\(140\) 9.71546 1.79991i 0.821107 0.152120i
\(141\) 0.544410 13.8940i 0.0458476 1.17008i
\(142\) 4.97773 + 8.62168i 0.417722 + 0.723515i
\(143\) −3.81360 2.89601i −0.318909 0.242176i
\(144\) −1.69869 + 2.47274i −0.141558 + 0.206062i
\(145\) 11.7614 + 20.3713i 0.976729 + 1.69174i
\(146\) −14.4231 −1.19366
\(147\) 2.36583 11.8913i 0.195130 0.980777i
\(148\) 9.09376i 0.747503i
\(149\) −4.15260 7.19252i −0.340194 0.589234i 0.644274 0.764795i \(-0.277160\pi\)
−0.984469 + 0.175561i \(0.943826\pi\)
\(150\) −8.26796 + 13.1070i −0.675076 + 1.07018i
\(151\) 1.12265 + 0.648163i 0.0913600 + 0.0527467i 0.544984 0.838446i \(-0.316536\pi\)
−0.453624 + 0.891193i \(0.649869\pi\)
\(152\) −2.36598 4.09800i −0.191906 0.332391i
\(153\) 14.9081 + 1.17009i 1.20525 + 0.0945959i
\(154\) 0.640093 + 3.45506i 0.0515802 + 0.278416i
\(155\) 12.4550i 1.00041i
\(156\) −5.84786 + 2.19148i −0.468203 + 0.175459i
\(157\) 15.2700 + 8.81616i 1.21868 + 0.703606i 0.964636 0.263586i \(-0.0849053\pi\)
0.254046 + 0.967192i \(0.418239\pi\)
\(158\) −7.22510 + 12.5142i −0.574798 + 0.995580i
\(159\) −2.41613 + 1.27151i −0.191611 + 0.100838i
\(160\) 3.73459i 0.295245i
\(161\) 1.98796 + 2.32795i 0.156674 + 0.183469i
\(162\) −8.88980 1.40411i −0.698448 0.110318i
\(163\) 5.82554 3.36338i 0.456292 0.263440i −0.254192 0.967154i \(-0.581810\pi\)
0.710484 + 0.703714i \(0.248476\pi\)
\(164\) −3.79357 2.19022i −0.296228 0.171027i
\(165\) −7.26603 4.58344i −0.565660 0.356820i
\(166\) 5.84258 3.37321i 0.453472 0.261812i
\(167\) 1.39818i 0.108194i 0.998536 + 0.0540972i \(0.0172281\pi\)
−0.998536 + 0.0540972i \(0.982772\pi\)
\(168\) 4.25640 + 1.69797i 0.328388 + 0.131001i
\(169\) −12.5901 3.23854i −0.968473 0.249119i
\(170\) 16.1215 9.30778i 1.23647 0.713874i
\(171\) 8.03813 11.7009i 0.614691 0.894791i
\(172\) 4.77428 8.26929i 0.364035 0.630528i
\(173\) 11.0767 + 19.1854i 0.842145 + 1.45864i 0.888078 + 0.459693i \(0.152040\pi\)
−0.0459336 + 0.998944i \(0.514626\pi\)
\(174\) −0.427142 + 10.9012i −0.0323816 + 0.826415i
\(175\) 22.3135 + 7.90348i 1.68674 + 0.597447i
\(176\) −1.32811 −0.100110
\(177\) 16.4873 8.67665i 1.23926 0.652177i
\(178\) 2.55804 + 1.47689i 0.191734 + 0.110697i
\(179\) −21.0472 12.1516i −1.57314 0.908253i −0.995781 0.0917629i \(-0.970750\pi\)
−0.577359 0.816490i \(-0.695917\pi\)
\(180\) −10.1113 + 4.82550i −0.753653 + 0.359672i
\(181\) 14.4139i 1.07137i 0.844417 + 0.535687i \(0.179947\pi\)
−0.844417 + 0.535687i \(0.820053\pi\)
\(182\) 5.23499 + 7.97464i 0.388043 + 0.591120i
\(183\) −0.379868 + 9.69466i −0.0280806 + 0.716650i
\(184\) −1.00204 + 0.578526i −0.0738711 + 0.0426495i
\(185\) 16.9807 29.4115i 1.24845 2.16237i
\(186\) −3.08188 + 4.88564i −0.225974 + 0.358232i
\(187\) 3.31007 + 5.73321i 0.242057 + 0.419254i
\(188\) 8.02784i 0.585490i
\(189\) 0.902527 + 13.7181i 0.0656491 + 0.997843i
\(190\) 17.6719i 1.28205i
\(191\) 0.358267 0.206846i 0.0259233 0.0149668i −0.486982 0.873412i \(-0.661902\pi\)
0.512906 + 0.858445i \(0.328569\pi\)
\(192\) −0.924091 + 1.46494i −0.0666905 + 0.105723i
\(193\) 6.58304 + 3.80072i 0.473857 + 0.273582i 0.717853 0.696195i \(-0.245125\pi\)
−0.243996 + 0.969776i \(0.578458\pi\)
\(194\) −4.89702 8.48189i −0.351586 0.608964i
\(195\) −23.0055 3.83188i −1.64746 0.274407i
\(196\) 1.09606 6.91366i 0.0782901 0.493833i
\(197\) −6.65182 −0.473922 −0.236961 0.971519i \(-0.576151\pi\)
−0.236961 + 0.971519i \(0.576151\pi\)
\(198\) −1.71607 3.59583i −0.121956 0.255545i
\(199\) −13.0997 7.56314i −0.928616 0.536137i −0.0422423 0.999107i \(-0.513450\pi\)
−0.886374 + 0.462971i \(0.846783\pi\)
\(200\) −4.47357 + 7.74844i −0.316329 + 0.547898i
\(201\) 6.22673 3.27689i 0.439200 0.231134i
\(202\) −9.37036 −0.659296
\(203\) 16.3858 3.03567i 1.15005 0.213062i
\(204\) 8.62702 + 0.338034i 0.604012 + 0.0236671i
\(205\) −8.17956 14.1674i −0.571285 0.989495i
\(206\) −0.155999 0.0900661i −0.0108690 0.00627520i
\(207\) −2.86109 1.96547i −0.198859 0.136610i
\(208\) −3.32413 + 1.39647i −0.230487 + 0.0968279i
\(209\) 6.28456 0.434712
\(210\) 10.5956 + 13.4396i 0.731168 + 0.927419i
\(211\) −10.2354 −0.704635 −0.352318 0.935880i \(-0.614606\pi\)
−0.352318 + 0.935880i \(0.614606\pi\)
\(212\) −1.36514 + 0.788163i −0.0937581 + 0.0541313i
\(213\) −9.19975 + 14.5842i −0.630356 + 0.999291i
\(214\) −5.15442 2.97590i −0.352349 0.203429i
\(215\) 30.8824 17.8300i 2.10616 1.21599i
\(216\) −5.16033 0.609089i −0.351116 0.0414433i
\(217\) 8.31735 + 2.94602i 0.564618 + 0.199989i
\(218\) 11.9736i 0.810953i
\(219\) −11.6341 22.1071i −0.786160 1.49386i
\(220\) −4.29544 2.47997i −0.289598 0.167200i
\(221\) 14.3131 + 10.8692i 0.962804 + 0.731144i
\(222\) 13.9385 7.33532i 0.935493 0.492314i
\(223\) −21.3728 −1.43123 −0.715616 0.698494i \(-0.753854\pi\)
−0.715616 + 0.698494i \(0.753854\pi\)
\(224\) 2.49393 + 0.883354i 0.166633 + 0.0590216i
\(225\) −26.7591 2.10024i −1.78394 0.140016i
\(226\) −1.27700 + 0.737278i −0.0849449 + 0.0490430i
\(227\) −13.1596 7.59771i −0.873434 0.504278i −0.00494636 0.999988i \(-0.501574\pi\)
−0.868488 + 0.495710i \(0.834908\pi\)
\(228\) 4.37276 6.93205i 0.289593 0.459086i
\(229\) −10.7812 18.6737i −0.712445 1.23399i −0.963937 0.266131i \(-0.914255\pi\)
0.251492 0.967859i \(-0.419079\pi\)
\(230\) −4.32111 −0.284925
\(231\) −4.77944 + 3.76807i −0.314464 + 0.247921i
\(232\) 6.29862i 0.413525i
\(233\) −23.8631 + 13.7774i −1.56332 + 0.902586i −0.566407 + 0.824126i \(0.691667\pi\)
−0.996917 + 0.0784603i \(0.975000\pi\)
\(234\) −8.07607 7.19563i −0.527949 0.470393i
\(235\) 14.9903 25.9640i 0.977861 1.69371i
\(236\) 9.31553 5.37832i 0.606389 0.350099i
\(237\) −25.0093 0.979944i −1.62453 0.0636542i
\(238\) −2.40239 12.9674i −0.155724 0.840555i
\(239\) 12.0981 0.782563 0.391282 0.920271i \(-0.372032\pi\)
0.391282 + 0.920271i \(0.372032\pi\)
\(240\) −5.72421 + 3.01244i −0.369496 + 0.194452i
\(241\) −1.76152 + 3.05105i −0.113470 + 0.196535i −0.917167 0.398503i \(-0.869530\pi\)
0.803697 + 0.595038i \(0.202863\pi\)
\(242\) −4.61806 + 7.99872i −0.296860 + 0.514177i
\(243\) −5.01862 14.7585i −0.321945 0.946758i
\(244\) 5.60151i 0.358600i
\(245\) 16.4548 20.3138i 1.05126 1.29780i
\(246\) 0.297060 7.58132i 0.0189399 0.483367i
\(247\) 15.7297 6.60805i 1.00085 0.420460i
\(248\) −1.66752 + 2.88823i −0.105887 + 0.183403i
\(249\) 9.88312 + 6.23431i 0.626317 + 0.395083i
\(250\) −12.7660 + 7.37045i −0.807392 + 0.466148i
\(251\) 18.9499 1.19611 0.598053 0.801457i \(-0.295941\pi\)
0.598053 + 0.801457i \(0.295941\pi\)
\(252\) 0.830772 + 7.89366i 0.0523337 + 0.497254i
\(253\) 1.53669i 0.0966110i
\(254\) 5.30202 + 9.18338i 0.332679 + 0.576216i
\(255\) 27.2707 + 17.2025i 1.70776 + 1.07726i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −0.299289 0.518384i −0.0186692 0.0323359i 0.856540 0.516081i \(-0.172610\pi\)
−0.875209 + 0.483745i \(0.839276\pi\)
\(258\) 16.5259 + 0.647537i 1.02886 + 0.0403139i
\(259\) −15.6243 18.2964i −0.970844 1.13688i
\(260\) −13.3587 1.69060i −0.828471 0.104846i
\(261\) −17.0534 + 8.13852i −1.05558 + 0.503762i
\(262\) −0.258515 + 0.447761i −0.0159711 + 0.0276627i
\(263\) 23.1551 + 13.3686i 1.42781 + 0.824344i 0.996947 0.0780752i \(-0.0248774\pi\)
0.430859 + 0.902419i \(0.358211\pi\)
\(264\) −1.07130 2.03567i −0.0659337 0.125287i
\(265\) −5.88693 −0.361631
\(266\) −11.8012 4.17999i −0.723576 0.256292i
\(267\) −0.200311 + 5.11217i −0.0122588 + 0.312860i
\(268\) 3.51817 2.03122i 0.214907 0.124076i
\(269\) −5.72442 + 9.91498i −0.349024 + 0.604527i −0.986076 0.166293i \(-0.946820\pi\)
0.637052 + 0.770820i \(0.280153\pi\)
\(270\) −15.5524 11.6058i −0.946491 0.706306i
\(271\) 12.6383 + 21.8902i 0.767723 + 1.32974i 0.938795 + 0.344477i \(0.111944\pi\)
−0.171072 + 0.985259i \(0.554723\pi\)
\(272\) 4.98464 0.302238
\(273\) −8.00048 + 14.4566i −0.484211 + 0.874951i
\(274\) 1.38807 0.0838562
\(275\) −5.94139 10.2908i −0.358279 0.620558i
\(276\) −1.69501 1.06922i −0.102028 0.0643595i
\(277\) −2.29715 + 3.97877i −0.138022 + 0.239061i −0.926748 0.375684i \(-0.877408\pi\)
0.788726 + 0.614745i \(0.210741\pi\)
\(278\) 11.1747 6.45170i 0.670213 0.386947i
\(279\) −9.97443 0.782862i −0.597154 0.0468687i
\(280\) 6.41650 + 7.51388i 0.383459 + 0.449040i
\(281\) 22.5191 1.34338 0.671689 0.740834i \(-0.265569\pi\)
0.671689 + 0.740834i \(0.265569\pi\)
\(282\) 12.3047 6.47551i 0.732736 0.385611i
\(283\) 6.47259 + 3.73695i 0.384756 + 0.222139i 0.679885 0.733318i \(-0.262030\pi\)
−0.295130 + 0.955457i \(0.595363\pi\)
\(284\) −4.97773 + 8.62168i −0.295374 + 0.511602i
\(285\) 27.0867 14.2547i 1.60448 0.844377i
\(286\) 0.601218 4.75068i 0.0355508 0.280913i
\(287\) −11.3956 + 2.11119i −0.672663 + 0.124619i
\(288\) −2.99080 0.234739i −0.176235 0.0138321i
\(289\) −3.92330 6.79535i −0.230782 0.399726i
\(290\) −11.7614 + 20.3713i −0.690651 + 1.19624i
\(291\) 9.05058 14.3477i 0.530555 0.841077i
\(292\) −7.21154 12.4907i −0.422023 0.730966i
\(293\) 14.6089i 0.853460i 0.904379 + 0.426730i \(0.140334\pi\)
−0.904379 + 0.426730i \(0.859666\pi\)
\(294\) 11.4811 3.89678i 0.669590 0.227265i
\(295\) 40.1716 2.33888
\(296\) 7.87543 4.54688i 0.457750 0.264282i
\(297\) 4.12730 5.53083i 0.239491 0.320931i
\(298\) 4.15260 7.19252i 0.240554 0.416651i
\(299\) −1.61579 3.84619i −0.0934435 0.222431i
\(300\) −15.4850 0.606752i −0.894027 0.0350308i
\(301\) −4.60200 24.8404i −0.265255 1.43178i
\(302\) 1.29633i 0.0745952i
\(303\) −7.55843 14.3625i −0.434220 0.825103i
\(304\) 2.36598 4.09800i 0.135698 0.235036i
\(305\) −10.4597 + 18.1167i −0.598918 + 1.03736i
\(306\) 6.44070 + 13.4958i 0.368191 + 0.771504i
\(307\) −5.52889 −0.315550 −0.157775 0.987475i \(-0.550432\pi\)
−0.157775 + 0.987475i \(0.550432\pi\)
\(308\) −2.67212 + 2.28187i −0.152258 + 0.130021i
\(309\) 0.0122157 0.311759i 0.000694927 0.0177353i
\(310\) −10.7863 + 6.22749i −0.612622 + 0.353698i
\(311\) 12.5077 21.6640i 0.709247 1.22845i −0.255890 0.966706i \(-0.582368\pi\)
0.965137 0.261746i \(-0.0842982\pi\)
\(312\) −4.82180 3.96865i −0.272981 0.224681i
\(313\) 12.4242 7.17314i 0.702260 0.405450i −0.105929 0.994374i \(-0.533782\pi\)
0.808189 + 0.588924i \(0.200448\pi\)
\(314\) 17.6323i 0.995049i
\(315\) −12.0528 + 27.0813i −0.679101 + 1.52586i
\(316\) −14.4502 −0.812888
\(317\) 7.58692 + 13.1409i 0.426124 + 0.738068i 0.996525 0.0832983i \(-0.0265454\pi\)
−0.570401 + 0.821367i \(0.693212\pi\)
\(318\) −2.30923 1.45667i −0.129495 0.0816860i
\(319\) −7.24453 4.18263i −0.405616 0.234182i
\(320\) −3.23425 + 1.86729i −0.180800 + 0.104385i
\(321\) 0.403623 10.3009i 0.0225280 0.574942i
\(322\) −1.02209 + 2.88560i −0.0569586 + 0.160808i
\(323\) −23.5871 −1.31242
\(324\) −3.22890 8.40085i −0.179383 0.466714i
\(325\) −25.6912 19.5097i −1.42509 1.08220i
\(326\) 5.82554 + 3.36338i 0.322647 + 0.186280i
\(327\) −18.3526 + 9.65827i −1.01490 + 0.534104i
\(328\) 4.38044i 0.241869i
\(329\) −13.7929 16.1518i −0.760425 0.890477i
\(330\) 0.336360 8.58428i 0.0185160 0.472549i
\(331\) −25.2714 + 14.5904i −1.38904 + 0.801963i −0.993207 0.116360i \(-0.962878\pi\)
−0.395833 + 0.918322i \(0.629544\pi\)
\(332\) 5.84258 + 3.37321i 0.320653 + 0.185129i
\(333\) 22.4865 + 15.4475i 1.23225 + 0.846517i
\(334\) −1.21086 + 0.699090i −0.0662553 + 0.0382525i
\(335\) 15.1715 0.828908
\(336\) 0.657716 + 4.53513i 0.0358813 + 0.247412i
\(337\) 21.8314 1.18923 0.594615 0.804011i \(-0.297305\pi\)
0.594615 + 0.804011i \(0.297305\pi\)
\(338\) −3.49042 12.5227i −0.189854 0.681143i
\(339\) −2.16014 1.36262i −0.117323 0.0740075i
\(340\) 16.1215 + 9.30778i 0.874313 + 0.504785i
\(341\) −2.21465 3.83588i −0.119930 0.207725i
\(342\) 14.1524 + 1.11077i 0.765271 + 0.0600638i
\(343\) −9.67332 15.7933i −0.522310 0.852756i
\(344\) 9.54856 0.514824
\(345\) −3.48554 6.62321i −0.187655 0.356582i
\(346\) −11.0767 + 19.1854i −0.595486 + 1.03141i
\(347\) 24.0903 + 13.9086i 1.29324 + 0.746651i 0.979227 0.202768i \(-0.0649938\pi\)
0.314011 + 0.949419i \(0.398327\pi\)
\(348\) −9.65426 + 5.08067i −0.517522 + 0.272352i
\(349\) −4.54691 −0.243391 −0.121695 0.992567i \(-0.538833\pi\)
−0.121695 + 0.992567i \(0.538833\pi\)
\(350\) 4.31214 + 23.2758i 0.230494 + 1.24414i
\(351\) 4.51474 18.1829i 0.240979 0.970530i
\(352\) −0.664055 1.15018i −0.0353943 0.0613047i
\(353\) −7.21102 4.16329i −0.383804 0.221589i 0.295668 0.955291i \(-0.404458\pi\)
−0.679472 + 0.733701i \(0.737791\pi\)
\(354\) 15.7579 + 9.94012i 0.837521 + 0.528311i
\(355\) −32.1984 + 18.5897i −1.70891 + 0.986641i
\(356\) 2.95378i 0.156550i
\(357\) 17.9381 14.1422i 0.949386 0.748486i
\(358\) 24.3032i 1.28446i
\(359\) 7.10506 + 12.3063i 0.374991 + 0.649503i 0.990326 0.138763i \(-0.0443126\pi\)
−0.615335 + 0.788266i \(0.710979\pi\)
\(360\) −9.23466 6.34391i −0.486710 0.334353i
\(361\) −1.69571 + 2.93706i −0.0892481 + 0.154582i
\(362\) −12.4828 + 7.20693i −0.656080 + 0.378788i
\(363\) −15.9852 0.626350i −0.839004 0.0328748i
\(364\) −4.28874 + 8.52095i −0.224791 + 0.446619i
\(365\) 53.8642i 2.81938i
\(366\) −8.58576 + 4.51836i −0.448785 + 0.236178i
\(367\) 2.05984 + 1.18925i 0.107523 + 0.0620782i 0.552797 0.833316i \(-0.313561\pi\)
−0.445274 + 0.895394i \(0.646894\pi\)
\(368\) −1.00204 0.578526i −0.0522347 0.0301577i
\(369\) 11.8599 5.66001i 0.617404 0.294648i
\(370\) 33.9614 1.76557
\(371\) −1.39245 + 3.93125i −0.0722926 + 0.204100i
\(372\) −5.77202 0.226166i −0.299265 0.0117262i
\(373\) −11.7785 20.4010i −0.609869 1.05632i −0.991262 0.131911i \(-0.957889\pi\)
0.381392 0.924413i \(-0.375445\pi\)
\(374\) −3.31007 + 5.73321i −0.171160 + 0.296457i
\(375\) −21.5946 13.6219i −1.11514 0.703434i
\(376\) 6.95231 4.01392i 0.358538 0.207002i
\(377\) −22.5303 2.85130i −1.16037 0.146850i
\(378\) −11.4289 + 7.64065i −0.587841 + 0.392992i
\(379\) 18.0896i 0.929201i 0.885520 + 0.464601i \(0.153802\pi\)
−0.885520 + 0.464601i \(0.846198\pi\)
\(380\) 15.3043 8.83595i 0.785095 0.453275i
\(381\) −9.79911 + 15.5343i −0.502023 + 0.795847i
\(382\) 0.358267 + 0.206846i 0.0183306 + 0.0105831i
\(383\) 6.97099 4.02470i 0.356201 0.205653i −0.311212 0.950340i \(-0.600735\pi\)
0.667413 + 0.744688i \(0.267402\pi\)
\(384\) −1.73072 0.0678152i −0.0883206 0.00346068i
\(385\) −12.9032 + 2.39048i −0.657608 + 0.121830i
\(386\) 7.60143i 0.386903i
\(387\) 12.3378 + 25.8525i 0.627166 + 1.31416i
\(388\) 4.89702 8.48189i 0.248609 0.430603i
\(389\) 27.5356 + 15.8977i 1.39611 + 0.806045i 0.993983 0.109539i \(-0.0349373\pi\)
0.402128 + 0.915583i \(0.368271\pi\)
\(390\) −8.18426 21.8393i −0.414426 1.10588i
\(391\) 5.76748i 0.291674i
\(392\) 6.53543 2.50761i 0.330089 0.126654i
\(393\) −0.894835 0.0350625i −0.0451384 0.00176867i
\(394\) −3.32591 5.76064i −0.167557 0.290217i
\(395\) −46.7355 26.9828i −2.35152 1.35765i
\(396\) 2.25605 3.28407i 0.113371 0.165031i
\(397\) −13.5400 23.4520i −0.679555 1.17702i −0.975115 0.221700i \(-0.928840\pi\)
0.295560 0.955324i \(-0.404494\pi\)
\(398\) 15.1263i 0.758212i
\(399\) −3.11228 21.4600i −0.155809 1.07435i
\(400\) −8.94713 −0.447357
\(401\) −7.51128 13.0099i −0.375095 0.649684i 0.615246 0.788335i \(-0.289057\pi\)
−0.990341 + 0.138651i \(0.955723\pi\)
\(402\) 5.95123 + 3.75406i 0.296821 + 0.187235i
\(403\) −9.57638 7.27221i −0.477033 0.362254i
\(404\) −4.68518 8.11497i −0.233096 0.403735i
\(405\) 5.24378 33.1997i 0.260566 1.64971i
\(406\) 10.8218 + 12.6726i 0.537079 + 0.628933i
\(407\) 12.0775i 0.598660i
\(408\) 4.02077 + 7.64024i 0.199058 + 0.378248i
\(409\) −9.71830 + 16.8326i −0.480539 + 0.832318i −0.999751 0.0223276i \(-0.992892\pi\)
0.519212 + 0.854646i \(0.326226\pi\)
\(410\) 8.17956 14.1674i 0.403960 0.699679i
\(411\) 1.11966 + 2.12757i 0.0552287 + 0.104945i
\(412\) 0.180132i 0.00887448i
\(413\) 9.50193 26.8263i 0.467559 1.32004i
\(414\) 0.271605 3.46051i 0.0133486 0.170075i
\(415\) 12.5976 + 21.8196i 0.618389 + 1.07108i
\(416\) −2.87145 2.18055i −0.140784 0.106910i
\(417\) 18.9027 + 11.9239i 0.925672 + 0.583917i
\(418\) 3.14228 + 5.44259i 0.153694 + 0.266206i
\(419\) 11.9628 0.584422 0.292211 0.956354i \(-0.405609\pi\)
0.292211 + 0.956354i \(0.405609\pi\)
\(420\) −6.34120 + 15.8959i −0.309419 + 0.775639i
\(421\) 8.12436i 0.395957i 0.980206 + 0.197979i \(0.0634377\pi\)
−0.980206 + 0.197979i \(0.936562\pi\)
\(422\) −5.11771 8.86413i −0.249126 0.431499i
\(423\) 19.8508 + 13.6368i 0.965177 + 0.663045i
\(424\) −1.36514 0.788163i −0.0662970 0.0382766i
\(425\) 22.2991 + 38.6232i 1.08166 + 1.87350i
\(426\) −17.2301 0.675131i −0.834803 0.0327102i
\(427\) 9.62412 + 11.2701i 0.465744 + 0.545397i
\(428\) 5.95181i 0.287691i
\(429\) 7.76660 2.91053i 0.374975 0.140521i
\(430\) 30.8824 + 17.8300i 1.48928 + 0.859837i
\(431\) 4.94182 8.55948i 0.238039 0.412296i −0.722112 0.691776i \(-0.756829\pi\)
0.960152 + 0.279480i \(0.0901620\pi\)
\(432\) −2.05268 4.77352i −0.0987595 0.229666i
\(433\) 14.2606i 0.685321i 0.939459 + 0.342661i \(0.111328\pi\)
−0.939459 + 0.342661i \(0.888672\pi\)
\(434\) 1.60735 + 8.67604i 0.0771551 + 0.416463i
\(435\) −40.7113 1.59520i −1.95196 0.0764840i
\(436\) −10.3694 + 5.98679i −0.496605 + 0.286715i
\(437\) 4.74159 + 2.73756i 0.226821 + 0.130955i
\(438\) 13.3282 21.1290i 0.636847 1.00958i
\(439\) −17.7811 + 10.2659i −0.848646 + 0.489966i −0.860194 0.509968i \(-0.829657\pi\)
0.0115480 + 0.999933i \(0.496324\pi\)
\(440\) 4.95994i 0.236456i
\(441\) 15.2338 + 14.4544i 0.725420 + 0.688307i
\(442\) −2.25648 + 17.8301i −0.107330 + 0.848093i
\(443\) 0.915950 0.528824i 0.0435181 0.0251252i −0.478083 0.878315i \(-0.658668\pi\)
0.521601 + 0.853189i \(0.325335\pi\)
\(444\) 13.3218 + 8.40346i 0.632226 + 0.398811i
\(445\) −5.51556 + 9.55324i −0.261463 + 0.452867i
\(446\) −10.6864 18.5094i −0.506017 0.876447i
\(447\) 14.3740 + 0.563219i 0.679867 + 0.0266394i
\(448\) 0.481958 + 2.60148i 0.0227704 + 0.122909i
\(449\) −7.60160 −0.358742 −0.179371 0.983782i \(-0.557406\pi\)
−0.179371 + 0.983782i \(0.557406\pi\)
\(450\) −11.5607 24.2242i −0.544976 1.14194i
\(451\) 5.03828 + 2.90885i 0.237243 + 0.136972i
\(452\) −1.27700 0.737278i −0.0600651 0.0346786i
\(453\) −1.98695 + 1.04566i −0.0933552 + 0.0491293i
\(454\) 15.1954i 0.713156i
\(455\) −29.7820 + 19.5505i −1.39620 + 0.916543i
\(456\) 8.18971 + 0.320899i 0.383518 + 0.0150275i
\(457\) 9.27260 5.35354i 0.433754 0.250428i −0.267191 0.963644i \(-0.586095\pi\)
0.700945 + 0.713216i \(0.252762\pi\)
\(458\) 10.7812 18.6737i 0.503775 0.872563i
\(459\) −15.4905 + 20.7582i −0.723035 + 0.968909i
\(460\) −2.16055 3.74219i −0.100736 0.174480i
\(461\) 9.51862i 0.443326i 0.975123 + 0.221663i \(0.0711485\pi\)
−0.975123 + 0.221663i \(0.928851\pi\)
\(462\) −5.65296 2.25509i −0.263000 0.104916i
\(463\) 17.7463i 0.824742i 0.911016 + 0.412371i \(0.135299\pi\)
−0.911016 + 0.412371i \(0.864701\pi\)
\(464\) −5.45477 + 3.14931i −0.253231 + 0.146203i
\(465\) −18.2458 11.5095i −0.846130 0.533742i
\(466\) −23.8631 13.7774i −1.10544 0.638225i
\(467\) −2.60380 4.50991i −0.120489 0.208694i 0.799471 0.600704i \(-0.205113\pi\)
−0.919961 + 0.392010i \(0.871780\pi\)
\(468\) 2.19356 10.5919i 0.101397 0.489611i
\(469\) 3.58857 10.1314i 0.165705 0.467826i
\(470\) 29.9807 1.38290
\(471\) −27.0261 + 14.2228i −1.24530 + 0.655352i
\(472\) 9.31553 + 5.37832i 0.428782 + 0.247557i
\(473\) −6.34077 + 10.9825i −0.291549 + 0.504977i
\(474\) −11.6560 22.1487i −0.535378 1.01732i
\(475\) 42.3375 1.94258
\(476\) 10.0289 8.56425i 0.459676 0.392542i
\(477\) 0.370025 4.71448i 0.0169423 0.215861i
\(478\) 6.04907 + 10.4773i 0.276678 + 0.479220i
\(479\) 15.3659 + 8.87151i 0.702086 + 0.405350i 0.808124 0.589012i \(-0.200483\pi\)
−0.106038 + 0.994362i \(0.533816\pi\)
\(480\) −5.47095 3.45110i −0.249714 0.157520i
\(481\) 12.6992 + 30.2289i 0.579033 + 1.37832i
\(482\) −3.52305 −0.160470
\(483\) −5.24738 + 0.761011i −0.238764 + 0.0346272i
\(484\) −9.23612 −0.419824
\(485\) 31.6763 18.2883i 1.43835 0.830431i
\(486\) 10.2719 11.7255i 0.465944 0.531880i
\(487\) 18.9701 + 10.9524i 0.859616 + 0.496299i 0.863884 0.503691i \(-0.168025\pi\)
−0.00426783 + 0.999991i \(0.501358\pi\)
\(488\) −4.85105 + 2.80076i −0.219597 + 0.126784i
\(489\) −0.456176 + 11.6421i −0.0206290 + 0.526476i
\(490\) 25.8196 + 4.09333i 1.16641 + 0.184918i
\(491\) 3.60049i 0.162488i −0.996694 0.0812438i \(-0.974111\pi\)
0.996694 0.0812438i \(-0.0258893\pi\)
\(492\) 6.71415 3.53340i 0.302697 0.159298i
\(493\) 27.1900 + 15.6982i 1.22458 + 0.707010i
\(494\) 13.5876 + 10.3183i 0.611334 + 0.464241i
\(495\) 13.4289 6.40880i 0.603586 0.288054i
\(496\) −3.33504 −0.149748
\(497\) 4.79811 + 25.8990i 0.215225 + 1.16173i
\(498\) −0.457510 + 11.6762i −0.0205015 + 0.523223i
\(499\) 6.88661 3.97599i 0.308287 0.177990i −0.337873 0.941192i \(-0.609707\pi\)
0.646160 + 0.763202i \(0.276374\pi\)
\(500\) −12.7660 7.37045i −0.570913 0.329617i
\(501\) −2.04825 1.29205i −0.0915092 0.0577243i
\(502\) 9.47494 + 16.4111i 0.422887 + 0.732462i
\(503\) 10.7862 0.480934 0.240467 0.970657i \(-0.422699\pi\)
0.240467 + 0.970657i \(0.422699\pi\)
\(504\) −6.42072 + 4.66630i −0.286002 + 0.207853i
\(505\) 34.9944i 1.55723i
\(506\) 1.33081 0.768346i 0.0591619 0.0341571i
\(507\) 16.3787 15.4511i 0.727404 0.686209i
\(508\) −5.30202 + 9.18338i −0.235239 + 0.407446i
\(509\) −14.3853 + 8.30537i −0.637618 + 0.368129i −0.783696 0.621144i \(-0.786668\pi\)
0.146078 + 0.989273i \(0.453335\pi\)
\(510\) −1.26242 + 32.2184i −0.0559008 + 1.42665i
\(511\) −35.9701 12.7407i −1.59122 0.563614i
\(512\) −1.00000 −0.0441942
\(513\) 9.71319 + 22.5881i 0.428848 + 0.997289i
\(514\) 0.299289 0.518384i 0.0132011 0.0228650i
\(515\) 0.336360 0.582592i 0.0148218 0.0256721i
\(516\) 7.70217 + 14.6356i 0.339069 + 0.644297i
\(517\) 10.6619i 0.468908i
\(518\) 8.03301 22.6792i 0.352950 0.996467i
\(519\) −38.3413 1.50234i −1.68300 0.0659452i
\(520\) −5.21524 12.4143i −0.228704 0.544401i
\(521\) −1.55866 + 2.69969i −0.0682863 + 0.118275i −0.898147 0.439695i \(-0.855086\pi\)
0.829861 + 0.557971i \(0.188420\pi\)
\(522\) −15.5749 10.6994i −0.681693 0.468300i
\(523\) −10.9887 + 6.34431i −0.480501 + 0.277417i −0.720625 0.693325i \(-0.756145\pi\)
0.240124 + 0.970742i \(0.422812\pi\)
\(524\) −0.517030 −0.0225865
\(525\) −32.1979 + 25.3845i −1.40523 + 1.10787i
\(526\) 26.7372i 1.16580i
\(527\) 8.31197 + 14.3968i 0.362075 + 0.627132i
\(528\) 1.22729 1.94560i 0.0534112 0.0846716i
\(529\) −10.8306 + 18.7592i −0.470896 + 0.815616i
\(530\) −2.94346 5.09823i −0.127856 0.221453i
\(531\) −2.52500 + 32.1710i −0.109576 + 1.39610i
\(532\) −2.28061 12.3101i −0.0988768 0.533711i
\(533\) 15.6689 + 1.98297i 0.678696 + 0.0858918i
\(534\) −4.52742 + 2.38261i −0.195921 + 0.103106i
\(535\) 11.1138 19.2496i 0.480490 0.832233i
\(536\) 3.51817 + 2.03122i 0.151962 + 0.0877352i
\(537\) 37.2509 19.6037i 1.60750 0.845963i
\(538\) −11.4488 −0.493594
\(539\) −1.45569 + 9.18210i −0.0627010 + 0.395501i
\(540\) 2.27470 19.2717i 0.0978874 0.829322i
\(541\) 0.286703 0.165528i 0.0123263 0.00711660i −0.493824 0.869562i \(-0.664401\pi\)
0.506150 + 0.862445i \(0.331068\pi\)
\(542\) −12.6383 + 21.8902i −0.542862 + 0.940265i
\(543\) −21.1155 13.3197i −0.906151 0.571604i
\(544\) 2.49232 + 4.31682i 0.106857 + 0.185082i
\(545\) −44.7164 −1.91544
\(546\) −16.5200 + 0.299667i −0.706990 + 0.0128246i
\(547\) 21.1593 0.904707 0.452354 0.891839i \(-0.350584\pi\)
0.452354 + 0.891839i \(0.350584\pi\)
\(548\) 0.694033 + 1.20210i 0.0296476 + 0.0513512i
\(549\) −13.8511 9.51523i −0.591150 0.406100i
\(550\) 5.94139 10.2908i 0.253342 0.438801i
\(551\) 25.8117 14.9024i 1.09962 0.634864i
\(552\) 0.0784657 2.00253i 0.00333972 0.0852335i
\(553\) −29.0734 + 24.8273i −1.23633 + 1.05577i
\(554\) −4.59429 −0.195193
\(555\) 27.3944 + 52.0546i 1.16283 + 2.20960i
\(556\) 11.1747 + 6.45170i 0.473912 + 0.273613i
\(557\) −10.1206 + 17.5294i −0.428823 + 0.742743i −0.996769 0.0803231i \(-0.974405\pi\)
0.567946 + 0.823066i \(0.307738\pi\)
\(558\) −4.30924 9.02954i −0.182425 0.382251i
\(559\) −4.32251 + 34.1554i −0.182823 + 1.44462i
\(560\) −3.29896 + 9.31379i −0.139407 + 0.393580i
\(561\) −11.4576 0.448947i −0.483742 0.0189545i
\(562\) 11.2596 + 19.5021i 0.474956 + 0.822647i
\(563\) −16.4117 + 28.4259i −0.691670 + 1.19801i 0.279621 + 0.960111i \(0.409791\pi\)
−0.971290 + 0.237897i \(0.923542\pi\)
\(564\) 11.7603 + 7.41845i 0.495199 + 0.312373i
\(565\) −2.75343 4.76907i −0.115838 0.200636i
\(566\) 7.47391i 0.314152i
\(567\) −20.9302 11.3546i −0.878986 0.476848i
\(568\) −9.95545 −0.417722
\(569\) −36.2966 + 20.9559i −1.52163 + 0.878515i −0.521959 + 0.852971i \(0.674799\pi\)
−0.999674 + 0.0255443i \(0.991868\pi\)
\(570\) 25.8883 + 16.3304i 1.08434 + 0.684007i
\(571\) −3.99051 + 6.91177i −0.166998 + 0.289248i −0.937363 0.348354i \(-0.886741\pi\)
0.770365 + 0.637603i \(0.220074\pi\)
\(572\) 4.41482 1.85467i 0.184593 0.0775476i
\(573\) −0.0280546 + 0.715985i −0.00117200 + 0.0299107i
\(574\) −7.52616 8.81332i −0.314136 0.367861i
\(575\) 10.3523i 0.431720i
\(576\) −1.29211 2.70748i −0.0538380 0.112812i
\(577\) 6.63093 11.4851i 0.276049 0.478131i −0.694350 0.719637i \(-0.744308\pi\)
0.970399 + 0.241506i \(0.0776414\pi\)
\(578\) 3.92330 6.79535i 0.163188 0.282649i
\(579\) −11.6512 + 6.13156i −0.484205 + 0.254819i
\(580\) −23.5227 −0.976729
\(581\) 17.5507 3.25149i 0.728126 0.134895i
\(582\) 16.9508 + 0.664185i 0.702632 + 0.0275314i
\(583\) 1.81306 1.04677i 0.0750891 0.0433527i
\(584\) 7.21154 12.4907i 0.298415 0.516871i
\(585\) 26.8727 30.1608i 1.11105 1.24699i
\(586\) −12.6517 + 7.30444i −0.522635 + 0.301744i
\(587\) 9.45396i 0.390207i 0.980783 + 0.195103i \(0.0625043\pi\)
−0.980783 + 0.195103i \(0.937496\pi\)
\(588\) 9.11525 + 7.99451i 0.375906 + 0.329688i
\(589\) 15.7813 0.650255
\(590\) 20.0858 + 34.7896i 0.826920 + 1.43227i
\(591\) 6.14689 9.74453i 0.252849 0.400836i
\(592\) 7.87543 + 4.54688i 0.323678 + 0.186876i
\(593\) −30.1356 + 17.3988i −1.23752 + 0.714482i −0.968587 0.248677i \(-0.920004\pi\)
−0.268933 + 0.963159i \(0.586671\pi\)
\(594\) 6.85349 + 0.808938i 0.281202 + 0.0331911i
\(595\) 48.4280 8.97191i 1.98536 0.367813i
\(596\) 8.30520 0.340194
\(597\) 23.1849 12.2013i 0.948895 0.499367i
\(598\) 2.52301 3.32241i 0.103173 0.135864i
\(599\) 3.32776 + 1.92128i 0.135969 + 0.0785016i 0.566441 0.824102i \(-0.308320\pi\)
−0.430473 + 0.902604i \(0.641653\pi\)
\(600\) −7.21704 13.7138i −0.294634 0.559863i
\(601\) 24.4368i 0.996796i −0.866948 0.498398i \(-0.833922\pi\)
0.866948 0.498398i \(-0.166078\pi\)
\(602\) 19.2114 16.4057i 0.782999 0.668645i
\(603\) −0.953611 + 12.1499i −0.0388340 + 0.494784i
\(604\) −1.12265 + 0.648163i −0.0456800 + 0.0263734i
\(605\) −29.8719 17.2465i −1.21447 0.701172i
\(606\) 8.65907 13.7270i 0.351750 0.557623i
\(607\) 25.3256 14.6218i 1.02794 0.593479i 0.111543 0.993760i \(-0.464421\pi\)
0.916393 + 0.400281i \(0.131087\pi\)
\(608\) 4.73196 0.191906
\(609\) −10.6948 + 26.8094i −0.433377 + 1.08637i
\(610\) −20.9193 −0.846999
\(611\) 11.2107 + 26.6856i 0.453534 + 1.07958i
\(612\) −8.46735 + 12.3257i −0.342273 + 0.498237i
\(613\) −7.85345 4.53419i −0.317198 0.183134i 0.332945 0.942946i \(-0.391958\pi\)
−0.650143 + 0.759812i \(0.725291\pi\)
\(614\) −2.76445 4.78816i −0.111564 0.193234i
\(615\) 28.3131 + 1.10940i 1.14169 + 0.0447352i
\(616\) −3.31221 1.17319i −0.133453 0.0472692i
\(617\) 47.4218 1.90913 0.954565 0.298002i \(-0.0963202\pi\)
0.954565 + 0.298002i \(0.0963202\pi\)
\(618\) 0.276099 0.145300i 0.0111063 0.00584484i
\(619\) 20.7977 36.0226i 0.835929 1.44787i −0.0573430 0.998355i \(-0.518263\pi\)
0.893272 0.449517i \(-0.148404\pi\)
\(620\) −10.7863 6.22749i −0.433189 0.250102i
\(621\) 5.52321 2.37505i 0.221639 0.0953076i
\(622\) 25.0154 1.00303
\(623\) 5.07497 + 5.94291i 0.203324 + 0.238098i
\(624\) 1.02605 6.16013i 0.0410750 0.246603i
\(625\) −5.15775 8.93348i −0.206310 0.357339i
\(626\) 12.4242 + 7.17314i 0.496573 + 0.286696i
\(627\) −5.80751 + 9.20652i −0.231930 + 0.367673i
\(628\) −15.2700 + 8.81616i −0.609341 + 0.351803i
\(629\) 45.3291i 1.80739i
\(630\) −29.4795 + 3.10259i −1.17449 + 0.123610i
\(631\) 2.35427i 0.0937218i −0.998901 0.0468609i \(-0.985078\pi\)
0.998901 0.0468609i \(-0.0149218\pi\)
\(632\) −7.22510 12.5142i −0.287399 0.497790i
\(633\) 9.45846 14.9943i 0.375940 0.595970i
\(634\) −7.58692 + 13.1409i −0.301315 + 0.521893i
\(635\) −34.2961 + 19.8009i −1.36100 + 0.785773i
\(636\) 0.106899 2.72818i 0.00423882 0.108180i
\(637\) 6.01127 + 24.5125i 0.238175 + 0.971222i
\(638\) 8.36526i 0.331184i
\(639\) −12.8636 26.9542i −0.508874 1.06629i
\(640\) −3.23425 1.86729i −0.127845 0.0738112i
\(641\) −14.3753 8.29956i −0.567789 0.327813i 0.188477 0.982078i \(-0.439645\pi\)
−0.756266 + 0.654265i \(0.772978\pi\)
\(642\) 9.12268 4.80092i 0.360043 0.189477i
\(643\) 5.87699 0.231766 0.115883 0.993263i \(-0.463030\pi\)
0.115883 + 0.993263i \(0.463030\pi\)
\(644\) −3.01005 + 0.557650i −0.118613 + 0.0219745i
\(645\) −2.41828 + 61.7174i −0.0952198 + 2.43012i
\(646\) −11.7935 20.4270i −0.464011 0.803690i
\(647\) 14.9475 25.8898i 0.587645 1.01783i −0.406895 0.913475i \(-0.633388\pi\)
0.994540 0.104356i \(-0.0332783\pi\)
\(648\) 5.66090 6.99673i 0.222381 0.274858i
\(649\) −12.3721 + 7.14301i −0.485645 + 0.280388i
\(650\) 4.05025 32.0041i 0.158864 1.25530i
\(651\) −12.0017 + 9.46204i −0.470385 + 0.370847i
\(652\) 6.72676i 0.263440i
\(653\) 6.48294 3.74293i 0.253697 0.146472i −0.367759 0.929921i \(-0.619875\pi\)
0.621456 + 0.783449i \(0.286541\pi\)
\(654\) −17.5406 11.0647i −0.685892 0.432663i
\(655\) −1.67220 0.965446i −0.0653383 0.0377231i
\(656\) 3.79357 2.19022i 0.148114 0.0855137i
\(657\) 43.1365 + 3.38565i 1.68292 + 0.132087i
\(658\) 7.09142 20.0209i 0.276452 0.780495i
\(659\) 32.6856i 1.27325i 0.771174 + 0.636624i \(0.219670\pi\)
−0.771174 + 0.636624i \(0.780330\pi\)
\(660\) 7.60239 4.00085i 0.295923 0.155733i
\(661\) 2.68538 4.65121i 0.104449 0.180911i −0.809064 0.587721i \(-0.800025\pi\)
0.913513 + 0.406809i \(0.133359\pi\)
\(662\) −25.2714 14.5904i −0.982200 0.567073i
\(663\) −29.1494 + 10.9237i −1.13207 + 0.424242i
\(664\) 6.74642i 0.261812i
\(665\) 15.6105 44.0725i 0.605351 1.70906i
\(666\) −2.13466 + 27.1976i −0.0827163 + 1.05389i
\(667\) −3.64391 6.31144i −0.141093 0.244380i
\(668\) −1.21086 0.699090i −0.0468496 0.0270486i
\(669\) 19.7505 31.3100i 0.763597 1.21051i
\(670\) 7.58576 + 13.1389i 0.293063 + 0.507601i
\(671\) 7.43942i 0.287196i
\(672\) −3.59868 + 2.83716i −0.138822 + 0.109446i
\(673\) −27.9654 −1.07799 −0.538994 0.842310i \(-0.681195\pi\)
−0.538994 + 0.842310i \(0.681195\pi\)
\(674\) 10.9157 + 18.9065i 0.420456 + 0.728251i
\(675\) 27.8046 37.2597i 1.07020 1.43413i
\(676\) 9.09973 9.28412i 0.349990 0.357081i
\(677\) −17.5946 30.4747i −0.676214 1.17124i −0.976112 0.217266i \(-0.930286\pi\)
0.299898 0.953971i \(-0.403047\pi\)
\(678\) 0.0999973 2.55205i 0.00384037 0.0980107i
\(679\) −4.72032 25.4790i −0.181149 0.977796i
\(680\) 18.6156i 0.713874i
\(681\) 23.2909 12.2571i 0.892509 0.469693i
\(682\) 2.21465 3.83588i 0.0848032 0.146884i
\(683\) −15.0441 + 26.0572i −0.575648 + 0.997052i 0.420323 + 0.907375i \(0.361917\pi\)
−0.995971 + 0.0896770i \(0.971417\pi\)
\(684\) 6.11422 + 12.8117i 0.233783 + 0.489867i
\(685\) 5.18385i 0.198065i
\(686\) 8.84070 16.2740i 0.337540 0.621343i
\(687\) 37.3187 + 1.46227i 1.42380 + 0.0557889i
\(688\) 4.77428 + 8.26929i 0.182018 + 0.315264i
\(689\) 3.43726 4.52634i 0.130949 0.172440i
\(690\) 3.99310 6.33017i 0.152015 0.240986i
\(691\) −11.4256 19.7898i −0.434651 0.752838i 0.562616 0.826719i \(-0.309795\pi\)
−0.997267 + 0.0738803i \(0.976462\pi\)
\(692\) −22.1534 −0.842145
\(693\) −1.10336 10.4836i −0.0419131 0.398241i
\(694\) 27.8171i 1.05592i
\(695\) 24.0944 + 41.7328i 0.913954 + 1.58302i
\(696\) −9.22711 5.82050i −0.349753 0.220625i
\(697\) −18.9096 10.9174i −0.716251 0.413528i
\(698\) −2.27346 3.93774i −0.0860516 0.149046i
\(699\) 1.86863 47.6896i 0.0706781 1.80379i
\(700\) −18.0014 + 15.3723i −0.680388 + 0.581020i
\(701\) 31.5577i 1.19192i 0.803015 + 0.595959i \(0.203228\pi\)
−0.803015 + 0.595959i \(0.796772\pi\)
\(702\) 18.0042 5.18156i 0.679525 0.195565i
\(703\) −37.2662 21.5156i −1.40552 0.811478i
\(704\) 0.664055 1.15018i 0.0250275 0.0433489i
\(705\) 24.1833 + 45.9531i 0.910797 + 1.73069i
\(706\) 8.32657i 0.313375i
\(707\) −23.3690 8.27734i −0.878882 0.311302i
\(708\) −0.729464 + 18.6168i −0.0274150 + 0.699661i
\(709\) −14.1878 + 8.19131i −0.532833 + 0.307631i −0.742169 0.670213i \(-0.766203\pi\)
0.209336 + 0.977844i \(0.432870\pi\)
\(710\) −32.1984 18.5897i −1.20838 0.697661i
\(711\) 24.5464 35.7316i 0.920563 1.34004i
\(712\) −2.55804 + 1.47689i −0.0958668 + 0.0553487i
\(713\) 3.85881i 0.144513i
\(714\) 21.2166 + 8.46375i 0.794011 + 0.316748i
\(715\) 17.7418 + 2.24530i 0.663506 + 0.0839695i
\(716\) 21.0472 12.1516i 0.786570 0.454126i
\(717\) −11.1798 + 17.7231i −0.417516 + 0.661880i
\(718\) −7.10506 + 12.3063i −0.265158 + 0.459268i
\(719\) 8.08537 + 14.0043i 0.301533 + 0.522271i 0.976483 0.215592i \(-0.0691682\pi\)
−0.674950 + 0.737863i \(0.735835\pi\)
\(720\) 0.876652 11.1694i 0.0326709 0.416259i
\(721\) −0.309490 0.362421i −0.0115260 0.0134973i
\(722\) −3.39143 −0.126216
\(723\) −2.84180 5.39998i −0.105688 0.200827i
\(724\) −12.4828 7.20693i −0.463918 0.267843i
\(725\) −48.8045 28.1773i −1.81255 1.04648i
\(726\) −7.45015 14.1567i −0.276501 0.525406i
\(727\) 16.3582i 0.606692i −0.952880 0.303346i \(-0.901896\pi\)
0.952880 0.303346i \(-0.0981038\pi\)
\(728\) −9.52374 + 0.546316i −0.352973 + 0.0202478i
\(729\) 26.2580 + 6.28621i 0.972519 + 0.232822i
\(730\) 46.6478 26.9321i 1.72651 0.996802i
\(731\) 23.7980 41.2194i 0.880202 1.52455i
\(732\) −8.20589 5.17631i −0.303298 0.191322i
\(733\) −25.9026 44.8646i −0.956734 1.65711i −0.730348 0.683075i \(-0.760642\pi\)
−0.226386 0.974038i \(-0.572691\pi\)
\(734\) 2.37849i 0.0877918i
\(735\) 14.5529 + 42.8771i 0.536790 + 1.58154i
\(736\) 1.15705i 0.0426495i
\(737\) −4.67252 + 2.69768i −0.172115 + 0.0993704i
\(738\) 10.8317 + 7.44101i 0.398720 + 0.273907i
\(739\) 13.0157 + 7.51460i 0.478789 + 0.276429i 0.719912 0.694066i \(-0.244182\pi\)
−0.241123 + 0.970495i \(0.577516\pi\)
\(740\) 16.9807 + 29.4115i 0.624224 + 1.08119i
\(741\) −4.85524 + 29.1495i −0.178362 + 1.07083i
\(742\) −4.10079 + 0.759723i −0.150545 + 0.0278903i
\(743\) 22.4238 0.822651 0.411326 0.911489i \(-0.365066\pi\)
0.411326 + 0.911489i \(0.365066\pi\)
\(744\) −2.69015 5.11180i −0.0986255 0.187408i
\(745\) 26.8611 + 15.5082i 0.984114 + 0.568178i
\(746\) 11.7785 20.4010i 0.431243 0.746934i
\(747\) −18.2658 + 8.71713i −0.668311 + 0.318943i
\(748\) −6.62015 −0.242057
\(749\) −10.2260 11.9749i −0.373649 0.437552i
\(750\) 0.999657 25.5124i 0.0365023 0.931581i
\(751\) −13.6135 23.5793i −0.496765 0.860422i 0.503228 0.864154i \(-0.332146\pi\)
−0.999993 + 0.00373163i \(0.998812\pi\)
\(752\) 6.95231 + 4.01392i 0.253525 + 0.146373i
\(753\) −17.5114 + 27.7605i −0.638152 + 1.01165i
\(754\) −8.79585 20.9375i −0.320326 0.762497i
\(755\) −4.84124 −0.176191
\(756\) −12.3315 6.07742i −0.448491 0.221034i
\(757\) 4.76540 0.173201 0.0866007 0.996243i \(-0.472400\pi\)
0.0866007 + 0.996243i \(0.472400\pi\)
\(758\) −15.6661 + 9.04481i −0.569017 + 0.328522i
\(759\) 2.25116 + 1.42004i 0.0817121 + 0.0515443i
\(760\) 15.3043 + 8.83595i 0.555146 + 0.320514i
\(761\) −29.7410 + 17.1710i −1.07811 + 0.622448i −0.930386 0.366580i \(-0.880529\pi\)
−0.147725 + 0.989028i \(0.547195\pi\)
\(762\) −18.3527 0.719116i −0.664847 0.0260508i
\(763\) −10.5769 + 29.8613i −0.382910 + 1.08105i
\(764\) 0.413691i 0.0149668i
\(765\) −50.4012 + 24.0534i −1.82226 + 0.869651i
\(766\) 6.97099 + 4.02470i 0.251872 + 0.145418i
\(767\) −23.4554 + 30.8871i −0.846925 + 1.11527i
\(768\) −0.806632 1.53276i −0.0291068 0.0553086i
\(769\) −22.9273 −0.826779 −0.413390 0.910554i \(-0.635655\pi\)
−0.413390 + 0.910554i \(0.635655\pi\)
\(770\) −8.52182 9.97926i −0.307105 0.359628i
\(771\) 1.03597 + 0.0405927i 0.0373097 + 0.00146191i
\(772\) −6.58304 + 3.80072i −0.236929 + 0.136791i
\(773\) 35.9806 + 20.7734i 1.29413 + 0.747168i 0.979384 0.202007i \(-0.0647465\pi\)
0.314748 + 0.949175i \(0.398080\pi\)
\(774\) −16.2200 + 23.6111i −0.583017 + 0.848684i
\(775\)