Properties

Label 546.2.bg.a.467.12
Level $546$
Weight $2$
Character 546.467
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 467.12
Character \(\chi\) \(=\) 546.467
Dual form 546.2.bg.a.311.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.806632 + 1.53276i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(3.23425 + 1.86729i) q^{5} +(-1.73072 - 0.0678152i) q^{6} +(0.481958 - 2.60148i) q^{7} +1.00000 q^{8} +(-1.69869 + 2.47274i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.806632 + 1.53276i) 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} +(-1.69869 + 2.47274i) q^{9} +(-3.23425 + 1.86729i) q^{10} +(-0.664055 - 1.15018i) q^{11} +(0.924091 - 1.46494i) 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} +(-1.29211 - 2.70748i) q^{18} +(2.36598 - 4.09800i) q^{19} -3.73459i q^{20} +(4.37621 - 1.35971i) q^{21} +1.32811 q^{22} +(-1.00204 - 0.578526i) q^{23} +(0.806632 + 1.53276i) 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} +(-5.47095 - 3.45110i) q^{30} +(1.66752 + 2.88823i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(1.22729 - 1.94560i) 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} +(-5.11755 + 3.57920i) q^{39} +(3.23425 + 1.86729i) q^{40} +4.38044i q^{41} +(-1.01056 + 4.46976i) q^{42} -9.54856 q^{43} +(-0.664055 + 1.15018i) q^{44} +(-10.1113 + 4.82550i) 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} +(-4.60626 + 7.30220i) q^{51} +(2.87145 - 2.18055i) q^{52} +(-1.36514 + 0.788163i) q^{53} +(3.10765 - 4.16443i) 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} +(5.72421 - 3.01244i) q^{60} +(4.85105 + 2.80076i) q^{61} -3.33504 q^{62} +(5.61410 + 5.61087i) q^{63} +1.00000 q^{64} +(-5.21524 + 12.4143i) q^{65} +(1.07130 + 2.03567i) 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} +(-1.69869 + 2.47274i) q^{72} +(-7.21154 - 12.4907i) q^{73} +(7.87543 - 4.54688i) q^{74} +(-8.26796 + 13.1070i) q^{75} -4.73196 q^{76} +(-3.31221 + 1.17319i) q^{77} +(-0.540899 - 6.22153i) q^{78} +(7.22510 - 12.5142i) q^{79} +(-3.23425 + 1.86729i) q^{80} +(-3.22890 - 8.40085i) q^{81} +(-3.79357 - 2.19022i) q^{82} -6.74642i q^{83} +(-3.36565 - 3.11005i) q^{84} +18.6156i q^{85} +(4.77428 - 8.26929i) q^{86} +(9.65426 - 5.08067i) 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} +(-3.08188 + 4.88564i) q^{93} +(-6.95231 + 4.01392i) q^{94} +(15.3043 - 8.83595i) q^{95} +(0.924091 - 1.46494i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(-1\)

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
\(3\) 0.806632 + 1.53276i 0.465709 + 0.884938i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 3.23425 + 1.86729i 1.44640 + 0.835079i 0.998265 0.0588875i \(-0.0187553\pi\)
0.448134 + 0.893966i \(0.352089\pi\)
\(6\) −1.73072 0.0678152i −0.706565 0.0276854i
\(7\) 0.481958 2.60148i 0.182163 0.983268i
\(8\) 1.00000 0.353553
\(9\) −1.69869 + 2.47274i −0.566230 + 0.824247i
\(10\) −3.23425 + 1.86729i −1.02276 + 0.590490i
\(11\) −0.664055 1.15018i −0.200220 0.346791i 0.748379 0.663271i \(-0.230832\pi\)
−0.948599 + 0.316480i \(0.897499\pi\)
\(12\) 0.924091 1.46494i 0.266762 0.422892i
\(13\) 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 0.992134 + 0.125180i \(0.0399508\pi\)
−0.387658 + 0.921803i \(0.626716\pi\)
\(18\) −1.29211 2.70748i −0.304554 0.638159i
\(19\) 2.36598 4.09800i 0.542793 0.940145i −0.455949 0.890006i \(-0.650700\pi\)
0.998742 0.0501391i \(-0.0159665\pi\)
\(20\) 3.73459i 0.835079i
\(21\) 4.37621 1.35971i 0.954966 0.296714i
\(22\) 1.32811 0.283154
\(23\) −1.00204 0.578526i −0.208939 0.120631i 0.391879 0.920017i \(-0.371825\pi\)
−0.600818 + 0.799386i \(0.705158\pi\)
\(24\) 0.806632 + 1.53276i 0.164653 + 0.312873i
\(25\) 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 \(-0.198832\pi\)
\(30\) −5.47095 3.45110i −0.998855 0.630081i
\(31\) 1.66752 + 2.88823i 0.299495 + 0.518741i 0.976021 0.217679i \(-0.0698485\pi\)
−0.676525 + 0.736419i \(0.736515\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 1.22729 1.94560i 0.213645 0.338686i
\(34\) −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 −0.315227 0.949016i \(-0.602081\pi\)
−0.979486 + 0.201514i \(0.935414\pi\)
\(38\) 2.36598 + 4.09800i 0.383812 + 0.664783i
\(39\) −5.11755 + 3.57920i −0.819464 + 0.573130i
\(40\) 3.23425 + 1.86729i 0.511379 + 0.295245i
\(41\) 4.38044i 0.684109i 0.939680 + 0.342055i \(0.111123\pi\)
−0.939680 + 0.342055i \(0.888877\pi\)
\(42\) −1.01056 + 4.46976i −0.155932 + 0.689699i
\(43\) −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
\(45\) −10.1113 + 4.82550i −1.50731 + 0.719343i
\(46\) 1.00204 0.578526i 0.147742 0.0852990i
\(47\) 6.95231 + 4.01392i 1.01410 + 0.585490i 0.912389 0.409324i \(-0.134235\pi\)
0.101710 + 0.994814i \(0.467569\pi\)
\(48\) −1.73072 0.0678152i −0.249808 0.00978828i
\(49\) −6.53543 2.50761i −0.933633 0.358230i
\(50\) −8.94713 −1.26532
\(51\) −4.60626 + 7.30220i −0.645005 + 1.02251i
\(52\) 2.87145 2.18055i 0.398198 0.302388i
\(53\) −1.36514 + 0.788163i −0.187516 + 0.108263i −0.590819 0.806804i \(-0.701195\pi\)
0.403303 + 0.915066i \(0.367862\pi\)
\(54\) 3.10765 4.16443i 0.422898 0.566707i
\(55\) 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 \(-0.419762\pi\)
0.963364 + 0.268199i \(0.0864283\pi\)
\(60\) 5.72421 3.01244i 0.738993 0.388904i
\(61\) 4.85105 + 2.80076i 0.621113 + 0.358600i 0.777302 0.629127i \(-0.216588\pi\)
−0.156189 + 0.987727i \(0.549921\pi\)
\(62\) −3.33504 −0.423550
\(63\) 5.61410 + 5.61087i 0.707310 + 0.706904i
\(64\) 1.00000 0.125000
\(65\) −5.21524 + 12.4143i −0.646871 + 1.53980i
\(66\) 1.07130 + 2.03567i 0.131867 + 0.250574i
\(67\) −3.51817 + 2.03122i −0.429813 + 0.248153i −0.699267 0.714861i \(-0.746490\pi\)
0.269454 + 0.963013i \(0.413157\pi\)
\(68\) 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 \(-0.701167\pi\)
−0.590748 + 0.806856i \(0.701167\pi\)
\(72\) −1.69869 + 2.47274i −0.200193 + 0.291415i
\(73\) −7.21154 12.4907i −0.844046 1.46193i −0.886447 0.462830i \(-0.846834\pi\)
0.0424005 0.999101i \(-0.486499\pi\)
\(74\) 7.87543 4.54688i 0.915500 0.528564i
\(75\) −8.26796 + 13.1070i −0.954702 + 1.51347i
\(76\) −4.73196 −0.542793
\(77\) −3.31221 + 1.17319i −0.377462 + 0.133698i
\(78\) −0.540899 6.22153i −0.0612448 0.704449i
\(79\) 7.22510 12.5142i 0.812888 1.40796i −0.0979473 0.995192i \(-0.531228\pi\)
0.910835 0.412771i \(-0.135439\pi\)
\(80\) −3.23425 + 1.86729i −0.361600 + 0.208770i
\(81\) −3.22890 8.40085i −0.358767 0.933427i
\(82\) −3.79357 2.19022i −0.418930 0.241869i
\(83\) 6.74642i 0.740516i −0.928929 0.370258i \(-0.879269\pi\)
0.928929 0.370258i \(-0.120731\pi\)
\(84\) −3.36565 3.11005i −0.367223 0.339334i
\(85\) 18.6156i 2.01914i
\(86\) 4.77428 8.26929i 0.514824 0.891701i
\(87\) 9.65426 5.08067i 1.03504 0.544705i
\(88\) −0.664055 1.15018i −0.0707885 0.122609i
\(89\) −2.55804 1.47689i −0.271152 0.156550i 0.358259 0.933622i \(-0.383371\pi\)
−0.629411 + 0.777072i \(0.716704\pi\)
\(90\) 0.876652 11.1694i 0.0924072 1.17736i
\(91\) 9.52374 + 0.546316i 0.998359 + 0.0572695i
\(92\) 1.15705i 0.120631i
\(93\) −3.08188 + 4.88564i −0.319576 + 0.506617i
\(94\) −6.95231 + 4.01392i −0.717076 + 0.414004i
\(95\) 15.3043 8.83595i 1.57019 0.906550i
\(96\) 0.924091 1.46494i 0.0943146 0.149515i
\(97\) −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 \(-0.0122920\pi\)
−0.533062 + 0.846076i \(0.678959\pi\)
\(102\) −4.02077 7.64024i −0.398115 0.756496i
\(103\) −0.155999 0.0900661i −0.0153710 0.00887448i 0.492295 0.870429i \(-0.336158\pi\)
−0.507666 + 0.861554i \(0.669492\pi\)
\(104\) 0.452687 + 3.57702i 0.0443896 + 0.350756i
\(105\) 16.6927 + 3.77401i 1.62904 + 0.368305i
\(106\) 1.57633i 0.153106i
\(107\) 5.15442 + 2.97590i 0.498296 + 0.287691i 0.728010 0.685567i \(-0.240446\pi\)
−0.229714 + 0.973258i \(0.573779\pi\)
\(108\) 2.05268 + 4.77352i 0.197519 + 0.459332i
\(109\) 10.3694 5.98679i 0.993211 0.573431i 0.0869783 0.996210i \(-0.472279\pi\)
0.906233 + 0.422780i \(0.138946\pi\)
\(110\) 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 \(0.977905\pi\)
\(114\) −4.37276 + 6.93205i −0.409547 + 0.649246i
\(115\) −2.16055 3.74219i −0.201473 0.348961i
\(116\) −5.45477 + 3.14931i −0.506462 + 0.292406i
\(117\) −9.61402 4.95687i −0.888817 0.458263i
\(118\) 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
\(123\) −6.71415 + 3.53340i −0.605394 + 0.318596i
\(124\) 1.66752 2.88823i 0.149748 0.259370i
\(125\) 14.7409i 1.31847i
\(126\) −7.66621 + 2.05651i −0.682960 + 0.183209i
\(127\) 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
\(129\) −7.70217 14.6356i −0.678138 1.28859i
\(130\) −8.14345 10.7237i −0.714227 0.940528i
\(131\) −0.258515 + 0.447761i −0.0225865 + 0.0391210i −0.877098 0.480312i \(-0.840523\pi\)
0.854511 + 0.519433i \(0.173857\pi\)
\(132\) −2.29859 0.0900661i −0.200067 0.00783925i
\(133\) −9.52057 8.13012i −0.825538 0.704971i
\(134\) 4.06244i 0.350941i
\(135\) −15.5524 11.6058i −1.33854 0.998868i
\(136\) 2.49232 + 4.31682i 0.213714 + 0.370164i
\(137\) −0.694033 1.20210i −0.0592953 0.102702i 0.834854 0.550471i \(-0.185552\pi\)
−0.894149 + 0.447769i \(0.852219\pi\)
\(138\) 1.69501 + 1.06922i 0.144289 + 0.0910181i
\(139\) 12.9034i 1.09445i 0.836985 + 0.547226i \(0.184316\pi\)
−0.836985 + 0.547226i \(0.815684\pi\)
\(140\) −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
\(144\) −1.29211 2.70748i −0.107676 0.225623i
\(145\) 11.7614 20.3713i 0.976729 1.69174i
\(146\) 14.4231 1.19366
\(147\) −1.42813 12.0400i −0.117790 0.993039i
\(148\) 9.09376i 0.747503i
\(149\) 4.15260 7.19252i 0.340194 0.589234i −0.644274 0.764795i \(-0.722840\pi\)
0.984469 + 0.175561i \(0.0561738\pi\)
\(150\) −7.21704 13.7138i −0.589269 1.11973i
\(151\) 1.12265 0.648163i 0.0913600 0.0527467i −0.453624 0.891193i \(-0.649869\pi\)
0.544984 + 0.838446i \(0.316536\pi\)
\(152\) 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
\(156\) 5.65845 + 2.64233i 0.453039 + 0.211556i
\(157\) 15.2700 8.81616i 1.21868 0.703606i 0.254046 0.967192i \(-0.418239\pi\)
0.964636 + 0.263586i \(0.0849053\pi\)
\(158\) 7.22510 + 12.5142i 0.574798 + 0.995580i
\(159\) −2.30923 1.45667i −0.183134 0.115521i
\(160\) 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 0.710484 0.703714i \(-0.248476\pi\)
−0.254192 + 0.967154i \(0.581810\pi\)
\(164\) 3.79357 2.19022i 0.296228 0.171027i
\(165\) 7.60239 4.00085i 0.591845 0.311465i
\(166\) 5.84258 + 3.37321i 0.453472 + 0.261812i
\(167\) 1.39818i 0.108194i 0.998536 + 0.0540972i \(0.0172281\pi\)
−0.998536 + 0.0540972i \(0.982772\pi\)
\(168\) 4.37621 1.35971i 0.337632 0.104904i
\(169\) −12.5901 + 3.23854i −0.968473 + 0.249119i
\(170\) −16.1215 9.30778i −1.23647 0.713874i
\(171\) 6.11422 + 12.8117i 0.467566 + 0.979734i
\(172\) 4.77428 + 8.26929i 0.364035 + 0.630528i
\(173\) −11.0767 + 19.1854i −0.842145 + 1.45864i 0.0459336 + 0.998944i \(0.485374\pi\)
−0.888078 + 0.459693i \(0.847960\pi\)
\(174\) −0.427142 + 10.9012i −0.0323816 + 0.826415i
\(175\) 22.3135 7.90348i 1.68674 0.597447i
\(176\) 1.32811 0.100110
\(177\) 15.7579 + 9.94012i 1.18443 + 0.747145i
\(178\) 2.55804 1.47689i 0.191734 0.110697i
\(179\) 21.0472 12.1516i 1.57314 0.908253i 0.577359 0.816490i \(-0.304083\pi\)
0.995781 0.0917629i \(-0.0292502\pi\)
\(180\) 9.23466 + 6.34391i 0.688311 + 0.472847i
\(181\) 14.4139i 1.07137i −0.844417 0.535687i \(-0.820053\pi\)
0.844417 0.535687i \(-0.179947\pi\)
\(182\) −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
\(186\) −2.69015 5.11180i −0.197251 0.374815i
\(187\) 3.31007 5.73321i 0.242057 0.419254i
\(188\) 8.02784i 0.585490i
\(189\) −4.07160 + 13.1310i −0.296165 + 0.955137i
\(190\) 17.6719i 1.28205i
\(191\) −0.358267 0.206846i −0.0259233 0.0149668i 0.486982 0.873412i \(-0.338098\pi\)
−0.512906 + 0.858445i \(0.671431\pi\)
\(192\) 0.806632 + 1.53276i 0.0582136 + 0.110617i
\(193\) 6.58304 3.80072i 0.473857 0.273582i −0.243996 0.969776i \(-0.578458\pi\)
0.717853 + 0.696195i \(0.245125\pi\)
\(194\) 4.89702 8.48189i 0.351586 0.608964i
\(195\) −23.2348 + 2.02003i −1.66388 + 0.144658i
\(196\) 1.09606 + 6.91366i 0.0782901 + 0.493833i
\(197\) 6.65182 0.473922 0.236961 0.971519i \(-0.423849\pi\)
0.236961 + 0.971519i \(0.423849\pi\)
\(198\) −2.25605 + 3.28407i −0.160330 + 0.233389i
\(199\) −13.0997 + 7.56314i −0.928616 + 0.536137i −0.886374 0.462971i \(-0.846783\pi\)
−0.0422423 + 0.999107i \(0.513450\pi\)
\(200\) 4.47357 + 7.74844i 0.316329 + 0.547898i
\(201\) −5.95123 3.75406i −0.419768 0.264791i
\(202\) −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
\(207\) 3.13269 1.49504i 0.217737 0.103912i
\(208\) −3.32413 1.39647i −0.230487 0.0968279i
\(209\) −6.28456 −0.434712
\(210\) −11.6147 + 12.5693i −0.801493 + 0.867365i
\(211\) −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
\(213\) −8.03038 15.2593i −0.550233 1.04555i
\(214\) −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
\(219\) 13.3282 21.1290i 0.900638 1.42776i
\(220\) −4.29544 + 2.47997i −0.289598 + 0.167200i
\(221\) −14.3131 + 10.8692i −0.962804 + 0.731144i
\(222\) 13.3218 + 8.40346i 0.894103 + 0.564004i
\(223\) −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 \(-0.498426\pi\)
0.868488 + 0.495710i \(0.165092\pi\)
\(228\) −3.81695 7.25294i −0.252784 0.480338i
\(229\) −10.7812 + 18.6737i −0.712445 + 1.23399i 0.251492 + 0.967859i \(0.419079\pi\)
−0.963937 + 0.266131i \(0.914255\pi\)
\(230\) 4.32111 0.284925
\(231\) −4.46995 4.13049i −0.294101 0.271766i
\(232\) 6.29862i 0.413525i
\(233\) 23.8631 + 13.7774i 1.56332 + 0.902586i 0.996917 + 0.0784603i \(0.0250004\pi\)
0.566407 + 0.824126i \(0.308333\pi\)
\(234\) 9.09979 5.84755i 0.594872 0.382266i
\(235\) 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 \(-0.627968\pi\)
−0.391282 + 0.920271i \(0.627968\pi\)
\(240\) −5.47095 3.45110i −0.353148 0.222767i
\(241\) −1.76152 3.05105i −0.113470 0.196535i 0.803697 0.595038i \(-0.202863\pi\)
−0.917167 + 0.398503i \(0.869530\pi\)
\(242\) 4.61806 + 7.99872i 0.296860 + 0.514177i
\(243\) 10.2719 11.7255i 0.658944 0.752192i
\(244\) 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
\(249\) 10.3406 5.44188i 0.655311 0.344865i
\(250\) −12.7660 7.37045i −0.807392 0.466148i
\(251\) −18.9499 −1.19611 −0.598053 0.801457i \(-0.704059\pi\)
−0.598053 + 0.801457i \(0.704059\pi\)
\(252\) 2.05211 7.66739i 0.129271 0.483000i
\(253\) 1.53669i 0.0966110i
\(254\) −5.30202 + 9.18338i −0.332679 + 0.576216i
\(255\) −28.5331 + 15.0159i −1.78681 + 0.940332i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 0.299289 0.518384i 0.0186692 0.0323359i −0.856540 0.516081i \(-0.827390\pi\)
0.875209 + 0.483745i \(0.160724\pi\)
\(258\) 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
\(261\) 15.5749 + 10.6994i 0.964060 + 0.662277i
\(262\) −0.258515 0.447761i −0.0159711 0.0276627i
\(263\) −23.1551 + 13.3686i −1.42781 + 0.824344i −0.996947 0.0780752i \(-0.975123\pi\)
−0.430859 + 0.902419i \(0.641789\pi\)
\(264\) 1.22729 1.94560i 0.0755348 0.119744i
\(265\) −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 \(-0.0531799\pi\)
−0.637052 + 0.770820i \(0.719847\pi\)
\(270\) 17.8271 7.66590i 1.08492 0.466532i
\(271\) 12.6383 21.8902i 0.767723 1.32974i −0.171072 0.985259i \(-0.554723\pi\)
0.938795 0.344477i \(-0.111944\pi\)
\(272\) −4.98464 −0.302238
\(273\) 6.84478 + 15.0383i 0.414265 + 0.910156i
\(274\) 1.38807 0.0838562
\(275\) 5.94139 10.2908i 0.358279 0.620558i
\(276\) −1.77348 + 0.933314i −0.106751 + 0.0561789i
\(277\) −2.29715 3.97877i −0.138022 0.239061i 0.788726 0.614745i \(-0.210741\pi\)
−0.926748 + 0.375684i \(0.877408\pi\)
\(278\) −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 \(-0.734431\pi\)
−0.671689 + 0.740834i \(0.734431\pi\)
\(282\) −11.7603 7.41845i −0.700317 0.441763i
\(283\) 6.47259 3.73695i 0.384756 0.222139i −0.295130 0.955457i \(-0.595363\pi\)
0.679885 + 0.733318i \(0.262030\pi\)
\(284\) 4.97773 + 8.62168i 0.295374 + 0.511602i
\(285\) 25.8883 + 16.3304i 1.53349 + 0.967332i
\(286\) 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
\(291\) −7.90018 15.0119i −0.463117 0.880012i
\(292\) −7.21154 + 12.4907i −0.422023 + 0.730966i
\(293\) 14.6089i 0.853460i 0.904379 + 0.426730i \(0.140334\pi\)
−0.904379 + 0.426730i \(0.859666\pi\)
\(294\) 11.1410 + 4.78318i 0.649754 + 0.278961i
\(295\) 40.1716 2.33888
\(296\) −7.87543 4.54688i −0.457750 0.264282i
\(297\) 2.72618 + 6.33976i 0.158189 + 0.367870i
\(298\) 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
\(303\) −8.65907 + 13.7270i −0.497450 + 0.788598i
\(304\) 2.36598 + 4.09800i 0.135698 + 0.235036i
\(305\) 10.4597 + 18.1167i 0.598918 + 1.03736i
\(306\) 8.46735 12.3257i 0.484046 0.704614i
\(307\) −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 −0.965137 0.261746i \(-0.915702\pi\)
0.255890 0.966706i \(-0.417632\pi\)
\(312\) −5.11755 + 3.57920i −0.289724 + 0.202632i
\(313\) 12.4242 + 7.17314i 0.702260 + 0.405450i 0.808189 0.588924i \(-0.200448\pi\)
−0.105929 + 0.994374i \(0.533782\pi\)
\(314\) 17.6323i 0.995049i
\(315\) 7.68023 + 28.6301i 0.432732 + 1.61312i
\(316\) −14.4502 −0.812888
\(317\) −7.58692 + 13.1409i −0.426124 + 0.738068i −0.996525 0.0832983i \(-0.973455\pi\)
0.570401 + 0.821367i \(0.306788\pi\)
\(318\) 2.41613 1.27151i 0.135490 0.0713030i
\(319\) −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
\(324\) −5.66090 + 6.99673i −0.314494 + 0.388707i
\(325\) −25.6912 + 19.5097i −1.42509 + 1.08220i
\(326\) −5.82554 + 3.36338i −0.322647 + 0.186280i
\(327\) 17.5406 + 11.0647i 0.969998 + 0.611878i
\(328\) 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 −0.395833 0.918322i \(-0.629544\pi\)
−0.993207 + 0.116360i \(0.962878\pi\)
\(332\) −5.84258 + 3.37321i −0.320653 + 0.185129i
\(333\) 24.6212 11.7502i 1.34923 0.643904i
\(334\) −1.21086 0.699090i −0.0662553 0.0382525i
\(335\) −15.1715 −0.828908
\(336\) −1.01056 + 4.46976i −0.0551303 + 0.243846i
\(337\) 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
\(339\) −2.26014 + 1.18942i −0.122754 + 0.0646006i
\(340\) 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
\(345\) 3.99310 6.33017i 0.214981 0.340805i
\(346\) −11.0767 19.1854i −0.595486 1.03141i
\(347\) −24.0903 + 13.9086i −1.29324 + 0.746651i −0.979227 0.202768i \(-0.935006\pi\)
−0.314011 + 0.949419i \(0.601673\pi\)
\(348\) −9.22711 5.82050i −0.494625 0.312011i
\(349\) −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
\(351\) −0.157289 18.7343i −0.00839546 0.999965i
\(352\) −0.664055 + 1.15018i −0.0353943 + 0.0613047i
\(353\) 7.21102 4.16329i 0.383804 0.221589i −0.295668 0.955291i \(-0.595542\pi\)
0.679472 + 0.733701i \(0.262209\pi\)
\(354\) −16.4873 + 8.67665i −0.876292 + 0.461159i
\(355\) −32.1984 18.5897i −1.70891 0.986641i
\(356\) 2.95378i 0.156550i
\(357\) 16.7765 + 15.5025i 0.887909 + 0.820477i
\(358\) 24.3032i 1.28446i
\(359\) −7.10506 + 12.3063i −0.374991 + 0.649503i −0.990326 0.138763i \(-0.955687\pi\)
0.615335 + 0.788266i \(0.289021\pi\)
\(360\) −10.1113 + 4.82550i −0.532913 + 0.254326i
\(361\) −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
\(366\) −8.20589 5.17631i −0.428929 0.270570i
\(367\) 2.05984 1.18925i 0.107523 0.0620782i −0.445274 0.895394i \(-0.646894\pi\)
0.552797 + 0.833316i \(0.313561\pi\)
\(368\) 1.00204 0.578526i 0.0522347 0.0301577i
\(369\) −10.8317 7.44101i −0.563875 0.387363i
\(370\) 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 0.381392 + 0.924413i \(0.375445\pi\)
−0.991262 + 0.131911i \(0.957889\pi\)
\(374\) 3.31007 + 5.73321i 0.171160 + 0.296457i
\(375\) −22.5942 + 11.8905i −1.16676 + 0.614022i
\(376\) 6.95231 + 4.01392i 0.358538 + 0.207002i
\(377\) 22.5303 2.85130i 1.16037 0.146850i
\(378\) −9.33594 10.0916i −0.480189 0.519055i
\(379\) 18.0896i 0.929201i −0.885520 0.464601i \(-0.846198\pi\)
0.885520 0.464601i \(-0.153802\pi\)
\(380\) −15.3043 8.83595i −0.785095 0.453275i
\(381\) 8.55356 + 16.2534i 0.438212 + 0.832689i
\(382\) 0.358267 0.206846i 0.0183306 0.0105831i
\(383\) −6.97099 4.02470i −0.356201 0.205653i 0.311212 0.950340i \(-0.399265\pi\)
−0.667413 + 0.744688i \(0.732598\pi\)
\(384\) −1.73072 0.0678152i −0.0883206 0.00346068i
\(385\) −12.9032 2.39048i −0.657608 0.121830i
\(386\) 7.60143i 0.386903i
\(387\) 16.2200 23.6111i 0.824511 1.20022i
\(388\) 4.89702 + 8.48189i 0.248609 + 0.430603i
\(389\) −27.5356 + 15.8977i −1.39611 + 0.806045i −0.993983 0.109539i \(-0.965063\pi\)
−0.402128 + 0.915583i \(0.631729\pi\)
\(390\) 9.86802 21.1320i 0.499686 1.07006i
\(391\) 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
\(396\) −1.71607 3.59583i −0.0862356 0.180697i
\(397\) −13.5400 + 23.4520i −0.679555 + 1.17702i 0.295560 + 0.955324i \(0.404494\pi\)
−0.975115 + 0.221700i \(0.928840\pi\)
\(398\) 15.1263i 0.758212i
\(399\) 4.78191 21.1507i 0.239395 1.05886i
\(400\) −8.94713 −0.447357
\(401\) 7.51128 13.0099i 0.375095 0.649684i −0.615246 0.788335i \(-0.710943\pi\)
0.990341 + 0.138651i \(0.0442766\pi\)
\(402\) 6.22673 3.27689i 0.310561 0.163436i
\(403\) −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
\(408\) −4.60626 + 7.30220i −0.228044 + 0.361513i
\(409\) −9.71830 16.8326i −0.480539 0.832318i 0.519212 0.854646i \(-0.326226\pi\)
−0.999751 + 0.0223276i \(0.992892\pi\)
\(410\) −8.17956 14.1674i −0.403960 0.699679i
\(411\) 1.28270 2.03344i 0.0632709 0.100302i
\(412\) 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
\(417\) −19.7778 + 10.4083i −0.968523 + 0.509697i
\(418\) 3.14228 5.44259i 0.153694 0.266206i
\(419\) −11.9628 −0.584422 −0.292211 0.956354i \(-0.594391\pi\)
−0.292211 + 0.956354i \(0.594391\pi\)
\(420\) −5.07797 16.3433i −0.247780 0.797472i
\(421\) 8.12436i 0.395957i −0.980206 0.197979i \(-0.936562\pi\)
0.980206 0.197979i \(-0.0634377\pi\)
\(422\) 5.11771 8.86413i 0.249126 0.431499i
\(423\) −21.7352 + 10.3729i −1.05680 + 0.504346i
\(424\) −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
\(429\) 7.51505 + 3.50931i 0.362830 + 0.169431i
\(430\) 30.8824 17.8300i 1.48928 0.859837i
\(431\) −4.94182 8.55948i −0.238039 0.412296i 0.722112 0.691776i \(-0.243171\pi\)
−0.960152 + 0.279480i \(0.909838\pi\)
\(432\) 3.10765 4.16443i 0.149517 0.200361i
\(433\) 14.2606i 0.685321i −0.939459 0.342661i \(-0.888672\pi\)
0.939459 0.342661i \(-0.111328\pi\)
\(434\) −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
\(438\) 11.6341 + 22.1071i 0.555899 + 1.05632i
\(439\) −17.7811 10.2659i −0.848646 0.489966i 0.0115480 0.999933i \(-0.496324\pi\)
−0.860194 + 0.509968i \(0.829657\pi\)
\(440\) 4.95994i 0.236456i
\(441\) 17.3024 11.9008i 0.823922 0.566704i
\(442\) −2.25648 17.8301i −0.107330 0.848093i
\(443\) −0.915950 0.528824i −0.0435181 0.0251252i 0.478083 0.878315i \(-0.341332\pi\)
−0.521601 + 0.853189i \(0.674665\pi\)
\(444\) −13.9385 + 7.33532i −0.661493 + 0.348119i
\(445\) −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 \(-0.442594\pi\)
0.179371 + 0.983782i \(0.442594\pi\)
\(450\) 15.1984 22.1239i 0.716460 1.04293i
\(451\) 5.03828 2.90885i 0.237243 0.136972i
\(452\) 1.27700 0.737278i 0.0600651 0.0346786i
\(453\) 1.89904 + 1.19792i 0.0892248 + 0.0562833i
\(454\) 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 0.700945 0.713216i \(-0.252762\pi\)
−0.267191 + 0.963644i \(0.586095\pi\)
\(458\) −10.7812 18.6737i −0.503775 0.872563i
\(459\) −10.2319 23.7943i −0.477582 1.11062i
\(460\) −2.16055 + 3.74219i −0.100736 + 0.174480i
\(461\) 9.51862i 0.443326i 0.975123 + 0.221663i \(0.0711485\pi\)
−0.975123 + 0.221663i \(0.928851\pi\)
\(462\) 5.81208 1.80585i 0.270403 0.0840158i
\(463\) 17.7463i 0.824742i −0.911016 0.412371i \(-0.864701\pi\)
0.911016 0.412371i \(-0.135299\pi\)
\(464\) 5.45477 + 3.14931i 0.253231 + 0.146203i
\(465\) −19.0905 + 10.0466i −0.885299 + 0.465899i
\(466\) −23.8631 + 13.7774i −1.10544 + 0.638225i
\(467\) 2.60380 4.50991i 0.120489 0.208694i −0.799471 0.600704i \(-0.794887\pi\)
0.919961 + 0.392010i \(0.128220\pi\)
\(468\) 0.514232 + 10.8044i 0.0237704 + 0.499435i
\(469\) 3.58857 + 10.1314i 0.165705 + 0.467826i
\(470\) −29.9807 −1.38290
\(471\) 25.8303 + 16.2939i 1.19020 + 0.750782i
\(472\) 9.31553 5.37832i 0.428782 0.247557i
\(473\) 6.34077 + 10.9825i 0.291549 + 0.504977i
\(474\) −13.3533 + 21.1687i −0.613338 + 0.972311i
\(475\) 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 \(-0.799517\pi\)
0.106038 + 0.994362i \(0.466184\pi\)
\(480\) 5.72421 3.01244i 0.261273 0.137498i
\(481\) 12.6992 30.2289i 0.579033 1.37832i
\(482\) 3.52305 0.160470
\(483\) −5.17174 1.16927i −0.235323 0.0532034i
\(484\) −9.23612 −0.419824
\(485\) −31.6763 18.2883i −1.43835 0.830431i
\(486\) 5.01862 + 14.7585i 0.227649 + 0.669459i
\(487\) 18.9701 10.9524i 0.859616 0.496299i −0.00426783 0.999991i \(-0.501358\pi\)
0.863884 + 0.503691i \(0.168025\pi\)
\(488\) 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 \(-0.0258893\pi\)
\(492\) 6.41709 + 4.04792i 0.289305 + 0.182494i
\(493\) 27.1900 15.6982i 1.22458 0.707010i
\(494\) −13.5876 + 10.3183i −0.611334 + 0.464241i
\(495\) 12.2647 + 8.42541i 0.551255 + 0.378694i
\(496\) −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 0.646160 0.763202i \(-0.276374\pi\)
−0.337873 + 0.941192i \(0.609707\pi\)
\(500\) 12.7660 7.37045i 0.570913 0.329617i
\(501\) −2.14307 + 1.12782i −0.0957454 + 0.0503871i
\(502\) 9.47494 16.4111i 0.422887 0.732462i
\(503\) −10.7862 −0.480934 −0.240467 0.970657i \(-0.577301\pi\)
−0.240467 + 0.970657i \(0.577301\pi\)
\(504\) 5.61410 + 5.61087i 0.250072 + 0.249928i
\(505\) 34.9944i 1.55723i
\(506\) −1.33081 0.768346i −0.0591619 0.0341571i
\(507\) −15.1195 16.6853i −0.671481 0.741022i
\(508\) −5.30202 9.18338i −0.235239 0.407446i
\(509\) 14.3853 + 8.30537i 0.637618 + 0.368129i 0.783696 0.621144i \(-0.213332\pi\)
−0.146078 + 0.989273i \(0.546665\pi\)
\(510\) 1.26242 32.2184i 0.0559008 1.42665i
\(511\) −35.9701 + 12.7407i −1.59122 + 0.563614i
\(512\) 1.00000 0.0441942
\(513\) −14.7053 + 19.7059i −0.649254 + 0.870038i
\(514\) 0.299289 + 0.518384i 0.0132011 + 0.0228650i
\(515\) −0.336360 0.582592i −0.0148218 0.0256721i
\(516\) −8.82373 + 13.9881i −0.388443 + 0.615791i
\(517\) 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 \(-0.144914\pi\)
−0.829861 + 0.557971i \(0.811580\pi\)
\(522\) −17.0534 + 8.13852i −0.746407 + 0.356213i
\(523\) −10.9887 6.34431i −0.480501 0.277417i 0.240124 0.970742i \(-0.422812\pi\)
−0.720625 + 0.693325i \(0.756145\pi\)
\(524\) 0.517030 0.0225865
\(525\) 30.1129 + 27.8260i 1.31424 + 1.21443i
\(526\) 26.7372i 1.16580i
\(527\) −8.31197 + 14.3968i −0.362075 + 0.627132i
\(528\) 1.07130 + 2.03567i 0.0466222 + 0.0885912i
\(529\) −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
\(534\) 4.32711 + 2.72956i 0.187252 + 0.118120i
\(535\) 11.1138 + 19.2496i 0.480490 + 0.832233i
\(536\) −3.51817 + 2.03122i −0.151962 + 0.0877352i
\(537\) 35.6028 + 22.4584i 1.53637 + 0.969150i
\(538\) −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 0.506150 0.862445i \(-0.331068\pi\)
−0.493824 + 0.869562i \(0.664401\pi\)
\(542\) 12.6383 + 21.8902i 0.542862 + 0.940265i
\(543\) 22.0929 11.6267i 0.948099 0.498948i
\(544\) 2.49232 4.31682i 0.106857 0.185082i
\(545\) 44.7164 1.91544
\(546\) −16.4459 1.59138i −0.703819 0.0681046i
\(547\) 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
\(549\) −15.1660 + 7.23778i −0.647268 + 0.308901i
\(550\) 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
\(555\) 31.3835 49.7515i 1.33215 2.11184i
\(556\) 11.1747 6.45170i 0.473912 0.273613i
\(557\) 10.1206 + 17.5294i 0.428823 + 0.742743i 0.996769 0.0803231i \(-0.0255952\pi\)
−0.567946 + 0.823066i \(0.692262\pi\)
\(558\) 5.66519 8.24668i 0.239827 0.349110i
\(559\) −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 0.971290 + 0.237897i \(0.0764580\pi\)
−0.279621 + 0.960111i \(0.590209\pi\)
\(564\) 12.3047 6.47551i 0.518123 0.272668i
\(565\) −2.75343 + 4.76907i −0.115838 + 0.200636i
\(566\) 7.47391i 0.314152i
\(567\) −23.4109 + 4.35107i −0.983164 + 0.182728i
\(568\) −9.95545 −0.417722
\(569\) 36.2966 + 20.9559i 1.52163 + 0.878515i 0.999674 + 0.0255443i \(0.00813190\pi\)
0.521959 + 0.852971i \(0.325201\pi\)
\(570\) −27.0867 + 14.2547i −1.13454 + 0.597064i
\(571\) −3.99051 6.91177i −0.166998 0.289248i 0.770365 0.637603i \(-0.220074\pi\)
−0.937363 + 0.348354i \(0.886741\pi\)
\(572\) −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
\(576\) −1.69869 + 2.47274i −0.0707788 + 0.103031i
\(577\) 6.63093 + 11.4851i 0.276049 + 0.478131i 0.970399 0.241506i \(-0.0776414\pi\)
−0.694350 + 0.719637i \(0.744308\pi\)
\(578\) −3.92330 6.79535i −0.163188 0.282649i
\(579\) 11.1357 + 7.02442i 0.462782 + 0.291925i
\(580\) −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
\(585\) −21.8382 33.9839i −0.902897 1.40506i
\(586\) −12.6517 7.30444i −0.522635 0.301744i
\(587\) 9.45396i 0.390207i 0.980783 + 0.195103i \(0.0625043\pi\)
−0.980783 + 0.195103i \(0.937496\pi\)
\(588\) −9.71284 + 7.25677i −0.400551 + 0.299264i
\(589\) 15.7813 0.650255
\(590\) −20.0858 + 34.7896i −0.826920 + 1.43227i
\(591\) 5.36557 + 10.1956i 0.220710 + 0.419392i
\(592\) 7.87543 4.54688i 0.323678 0.186876i
\(593\) 30.1356 + 17.3988i 1.23752 + 0.714482i 0.968587 0.248677i \(-0.0799956\pi\)
0.268933 + 0.963159i \(0.413329\pi\)
\(594\) −6.85349 0.808938i −0.281202 0.0331911i
\(595\) 48.4280 + 8.97191i 1.98536 + 0.367813i
\(596\) −8.30520 −0.340194
\(597\) −22.1591 13.9781i −0.906912 0.572084i
\(598\) 2.52301 + 3.32241i 0.103173 + 0.135864i
\(599\) −3.32776 + 1.92128i −0.135969 + 0.0785016i −0.566441 0.824102i \(-0.691680\pi\)
0.430473 + 0.902604i \(0.358347\pi\)
\(600\) −8.26796 + 13.1070i −0.337538 + 0.535092i
\(601\) 24.4368i 0.996796i 0.866948 + 0.498398i \(0.166078\pi\)
−0.866948 + 0.498398i \(0.833922\pi\)
\(602\) −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
\(606\) −7.55843 14.3625i −0.307040 0.583436i
\(607\) 25.3256 + 14.6218i 1.02794 + 0.593479i 0.916393 0.400281i \(-0.131087\pi\)
0.111543 + 0.993760i \(0.464421\pi\)
\(608\) −4.73196 −0.191906
\(609\) −8.56432 27.5641i −0.347044 1.11695i
\(610\) −20.9193 −0.846999
\(611\) −11.2107 + 26.6856i −0.453534 + 1.07958i
\(612\) 6.44070 + 13.4958i 0.260350 + 0.545535i
\(613\) −7.85345 + 4.53419i −0.317198 + 0.183134i −0.650143 0.759812i \(-0.725291\pi\)
0.332945 + 0.942946i \(0.391958\pi\)
\(614\) 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 \(-0.903680\pi\)
−0.954565 + 0.298002i \(0.903680\pi\)
\(618\) 0.263883 + 0.166459i 0.0106149 + 0.00669594i
\(619\) 20.7977 + 36.0226i 0.835929 + 1.44787i 0.893272 + 0.449517i \(0.148404\pi\)
−0.0573430 + 0.998355i \(0.518263\pi\)
\(620\) 10.7863 6.22749i 0.433189 0.250102i
\(621\) 4.81846 + 3.59571i 0.193358 + 0.144291i
\(622\) 25.0154 1.00303
\(623\) −5.07497 + 5.94291i −0.203324 + 0.238098i
\(624\) −0.540899 6.22153i −0.0216533 0.249061i
\(625\) −5.15775 + 8.93348i −0.206310 + 0.357339i
\(626\) −12.4242 + 7.17314i −0.496573 + 0.286696i
\(627\) −5.06933 9.63271i −0.202449 0.384693i
\(628\) −15.2700 8.81616i −0.609341 0.351803i
\(629\) 45.3291i 1.80739i
\(630\) −28.6345 7.66378i −1.14083 0.305332i
\(631\) 2.35427i 0.0937218i 0.998901 + 0.0468609i \(0.0149218\pi\)
−0.998901 + 0.0468609i \(0.985078\pi\)
\(632\) 7.22510 12.5142i 0.287399 0.497790i
\(633\) −8.25621 15.6884i −0.328155 0.623558i
\(634\) −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
\(639\) 16.9112 24.6173i 0.668998 0.973844i
\(640\) −3.23425 + 1.86729i −0.127845 + 0.0738112i
\(641\) 14.3753 8.29956i 0.567789 0.327813i −0.188477 0.982078i \(-0.560355\pi\)
0.756266 + 0.654265i \(0.227022\pi\)
\(642\) −8.71905 5.50001i −0.344114 0.217068i
\(643\) 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 −0.994540 0.104356i \(-0.966722\pi\)
0.406895 0.913475i \(-0.366612\pi\)
\(648\) −3.22890 8.40085i −0.126843 0.330016i
\(649\) −12.3721 7.14301i −0.485645 0.280388i
\(650\) −4.05025 32.0041i −0.158864 1.25530i
\(651\) 11.2246 + 10.3721i 0.439925 + 0.406516i
\(652\) 6.72676i 0.263440i
\(653\) −6.48294 3.74293i −0.253697 0.146472i 0.367759 0.929921i \(-0.380125\pi\)
−0.621456 + 0.783449i \(0.713459\pi\)
\(654\) −18.3526 + 9.65827i −0.717643 + 0.377668i
\(655\) −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 \(0.780330\pi\)
\(660\) −7.26603 4.58344i −0.282830 0.178410i
\(661\) 2.68538 + 4.65121i 0.104449 + 0.180911i 0.913513 0.406809i \(-0.133359\pi\)
−0.809064 + 0.587721i \(0.800025\pi\)
\(662\) 25.2714 14.5904i 0.982200 0.567073i
\(663\) −28.2053 13.1711i −1.09540 0.511522i
\(664\) 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
\(669\) −17.2400 32.7594i −0.666537 1.26655i
\(670\) 7.58576 13.1389i 0.293063 0.507601i
\(671\) 7.43942i 0.287196i
\(672\) −3.36565 3.11005i −0.129833 0.119973i
\(673\) −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
\(675\) −18.3656 42.7093i −0.706892 1.64388i
\(676\) 9.09973 + 9.28412i 0.349990 + 0.357081i
\(677\) 17.5946 30.4747i 0.676214 1.17124i −0.299898 0.953971i \(-0.596953\pi\)
0.976112 0.217266i \(-0.0697139\pi\)
\(678\) 0.0999973 2.55205i 0.00384037 0.0980107i
\(679\) −4.72032 + 25.4790i −0.181149 + 0.977796i
\(680\) 18.6156i 0.713874i
\(681\) 22.2604 + 14.0419i 0.853021 + 0.538089i
\(682\) 2.21465 + 3.83588i 0.0848032 + 0.146884i
\(683\) 15.0441 + 26.0572i 0.575648 + 0.997052i 0.995971 + 0.0896770i \(0.0285835\pi\)
−0.420323 + 0.907375i \(0.638083\pi\)
\(684\) 8.03813 11.7009i 0.307346 0.447395i
\(685\) 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
\(690\) 3.48554 + 6.62321i 0.132692 + 0.252141i
\(691\) −11.4256 + 19.7898i −0.434651 + 0.752838i −0.997267 0.0738803i \(-0.976462\pi\)
0.562616 + 0.826719i \(0.309795\pi\)
\(692\) 22.1534 0.842145
\(693\) 2.72543 10.1831i 0.103530 0.386825i
\(694\) 27.8171i 1.05592i
\(695\) −24.0944 + 41.7328i −0.913954 + 1.58302i
\(696\) 9.65426 5.08067i 0.365944 0.192582i
\(697\) −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 \(0.796772\pi\)
\(702\) 16.3031 + 9.23095i 0.615319 + 0.348400i
\(703\) −37.2662 + 21.5156i −1.40552 + 0.811478i
\(704\) −0.664055 1.15018i −0.0250275 0.0433489i
\(705\) −27.7049 + 43.9199i −1.04343 + 1.65412i
\(706\) 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 0.209336 0.977844i \(-0.432870\pi\)
−0.742169 + 0.670213i \(0.766203\pi\)
\(710\) 32.1984 18.5897i 1.20838 0.697661i
\(711\) 18.6713 + 39.1236i 0.700228 + 1.46725i
\(712\) −2.55804 1.47689i −0.0958668 0.0553487i
\(713\) 3.85881i 0.144513i
\(714\) −21.8138 + 6.77768i −0.816361 + 0.253648i
\(715\) 17.7418 2.24530i 0.663506 0.0839695i
\(716\) −21.0472 12.1516i −0.786570 0.454126i
\(717\) −9.75874 18.5435i −0.364447 0.692520i
\(718\) −7.10506 12.3063i −0.265158 0.459268i
\(719\) −8.08537 + 14.0043i −0.301533 + 0.522271i −0.976483 0.215592i \(-0.930832\pi\)
0.674950 + 0.737863i \(0.264165\pi\)
\(720\) 0.876652 11.1694i 0.0326709 0.416259i
\(721\) −0.309490 + 0.362421i −0.0115260 + 0.0134973i
\(722\) 3.39143 0.126216
\(723\) 3.25562 5.16106i 0.121078 0.191942i
\(724\) −12.4828 + 7.20693i −0.463918 + 0.267843i
\(725\) 48.8045 28.1773i 1.81255 1.04648i
\(726\) −8.53502 + 13.5304i −0.316764 + 0.502160i
\(727\) 16.3582i 0.606692i 0.952880 + 0.303346i \(0.0981038\pi\)
−0.952880 + 0.303346i \(0.901896\pi\)
\(728\) 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
\(732\) 8.58576 4.51836i 0.317339 0.167003i
\(733\) −25.9026 + 44.8646i −0.956734 + 1.65711i −0.226386 + 0.974038i \(0.572691\pi\)
−0.730348 + 0.683075i \(0.760642\pi\)
\(734\) 2.37849i 0.0877918i
\(735\) 17.8632 41.6069i 0.658894 1.53469i
\(736\) 1.15705i 0.0426495i
\(737\) 4.67252 + 2.69768i 0.172115 + 0.0993704i
\(738\) 11.8599 5.66001i 0.436571 0.208348i
\(739\) 13.0157 7.51460i 0.478789 0.276429i −0.241123 0.970495i \(-0.577516\pi\)
0.719912 + 0.694066i \(0.244182\pi\)
\(740\) −16.9807 + 29.4115i −0.624224 + 1.08119i
\(741\) 2.55951 + 29.4400i 0.0940260 + 1.08151i
\(742\) −4.10079 0.759723i −0.150545 0.0278903i
\(743\) −22.4238 −0.822651 −0.411326 0.911489i \(-0.634934\pi\)
−0.411326 + 0.911489i \(0.634934\pi\)
\(744\) −3.08188 + 4.88564i −0.112987 + 0.179116i
\(745\) 26.8611 15.5082i 0.984114 0.568178i
\(746\) −11.7785 20.4010i −0.431243 0.746934i
\(747\) 16.6822 + 11.4601i 0.610368 + 0.419303i
\(748\) −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 −0.999993 0.00373163i \(-0.998812\pi\)
0.503228 + 0.864154i \(0.332146\pi\)
\(752\) −6.95231 + 4.01392i −0.253525 + 0.146373i
\(753\) −15.2856 29.0456i −0.557037 1.05848i
\(754\) −8.79585 + 20.9375i −0.320326 + 0.762497i
\(755\) 4.84124 0.176191
\(756\) 13.4075 3.03937i 0.487628 0.110541i
\(757\) 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
\(759\) −2.35538 + 1.23954i −0.0854947 + 0.0449926i
\(760\) 15.3043 8.83595i 0.555146 0.320514i
\(761\) 29.7410 + 17.1710i 1.07811 + 0.622448i 0.930386 0.366580i \(-0.119471\pi\)
0.147725 + 0.989028i \(0.452805\pi\)
\(762\) −18.3527 0.719116i −0.664847 0.0260508i
\(763\) −10.5769 29.8613i −0.382910 1.08105i
\(764\) 0.413691i 0.0149668i
\(765\) −46.0314 31.6221i −1.66427 1.14330i
\(766\) 6.97099 4.02470i 0.251872 0.145418i
\(767\) 23.4554 + 30.8871i 0.846925 + 1.11527i
\(768\) 0.924091 1.46494i 0.0333453 0.0528615i
\(769\) −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 \(-0.935253\pi\)
−0.314748 + 0.949175i \(0.601920\pi\)
\(774\) 12.3378 + 25.8525i 0.443473 + 0.929250i
\(775\)