Properties

Label 546.2.bg.a.311.12
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 311.12
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.a.467.12

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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
\(3\) 0.806632 1.53276i 0.465709 0.884938i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 3.23425 1.86729i 1.44640 0.835079i 0.448134 0.893966i \(-0.352089\pi\)
0.998265 + 0.0588875i \(0.0187553\pi\)
\(6\) −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 −0.948599 0.316480i \(-0.897499\pi\)
0.748379 + 0.663271i \(0.230832\pi\)
\(12\) 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 −0.387658 0.921803i \(-0.626716\pi\)
0.992134 0.125180i \(-0.0399508\pi\)
\(18\) −1.29211 + 2.70748i −0.304554 + 0.638159i
\(19\) 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
\(21\) 4.37621 + 1.35971i 0.954966 + 0.296714i
\(22\) 1.32811 0.283154
\(23\) −1.00204 + 0.578526i −0.208939 + 0.120631i −0.600818 0.799386i \(-0.705158\pi\)
0.391879 + 0.920017i \(0.371825\pi\)
\(24\) 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 \(0.198832\pi\)
−0.811169 + 0.584812i \(0.801168\pi\)
\(30\) −5.47095 + 3.45110i −0.998855 + 0.630081i
\(31\) 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
\(33\) 1.22729 + 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 −0.979486 0.201514i \(-0.935414\pi\)
−0.315227 + 0.949016i \(0.602081\pi\)
\(38\) 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 \(-0.888877\pi\)
0.939680 0.342055i \(-0.111123\pi\)
\(42\) −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 0.101710 0.994814i \(-0.467569\pi\)
0.912389 + 0.409324i \(0.134235\pi\)
\(48\) −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 0.403303 0.915066i \(-0.367862\pi\)
−0.590819 + 0.806804i \(0.701195\pi\)
\(54\) 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 0.963364 0.268199i \(-0.0864283\pi\)
0.249415 + 0.968397i \(0.419762\pi\)
\(60\) 5.72421 + 3.01244i 0.738993 + 0.388904i
\(61\) 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
\(63\) 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 0.269454 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 \(-0.701167\pi\)
−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 0.0424005 + 0.999101i \(0.486499\pi\)
−0.886447 + 0.462830i \(0.846834\pi\)
\(74\) 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 0.910835 + 0.412771i \(0.135439\pi\)
−0.0979473 + 0.995192i \(0.531228\pi\)
\(80\) −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 \(0.120731\pi\)
−0.928929 + 0.370258i \(0.879269\pi\)
\(84\) −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 −0.629411 0.777072i \(-0.716704\pi\)
0.358259 + 0.933622i \(0.383371\pi\)
\(90\) 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 −0.533062 0.846076i \(-0.678959\pi\)
0.999254 + 0.0386068i \(0.0122920\pi\)
\(102\) −4.02077 + 7.64024i −0.398115 + 0.756496i
\(103\) −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
\(105\) 16.6927 3.77401i 1.62904 0.368305i
\(106\) 1.57633i 0.153106i
\(107\) 5.15442 2.97590i 0.498296 0.287691i −0.229714 0.973258i \(-0.573779\pi\)
0.728010 + 0.685567i \(0.240446\pi\)
\(108\) 2.05268 4.77352i 0.197519 0.459332i
\(109\) 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 \(-0.977905\pi\)
0.997592 0.0693572i \(-0.0220948\pi\)
\(114\) −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 0.854511 0.519433i \(-0.173857\pi\)
−0.877098 + 0.480312i \(0.840523\pi\)
\(132\) −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 −0.894149 0.447769i \(-0.852219\pi\)
0.834854 + 0.550471i \(0.185552\pi\)
\(138\) 1.69501 1.06922i 0.144289 0.0910181i
\(139\) 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
\(144\) −1.29211 + 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 0.984469 0.175561i \(-0.0561738\pi\)
−0.644274 + 0.764795i \(0.722840\pi\)
\(150\) −7.21704 + 13.7138i −0.589269 + 1.11973i
\(151\) 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
\(156\) 5.65845 2.64233i 0.453039 0.211556i
\(157\) 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
\(159\) −2.30923 + 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 −0.254192 0.967154i \(-0.581810\pi\)
0.710484 + 0.703714i \(0.248476\pi\)
\(164\) 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 \(-0.982772\pi\)
0.998536 0.0540972i \(-0.0172281\pi\)
\(168\) 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 −0.888078 0.459693i \(-0.847960\pi\)
0.0459336 0.998944i \(-0.485374\pi\)
\(174\) −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 0.995781 + 0.0917629i \(0.0292502\pi\)
0.577359 + 0.816490i \(0.304083\pi\)
\(180\) 9.23466 6.34391i 0.688311 0.472847i
\(181\) 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
\(186\) −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 −0.512906 0.858445i \(-0.671431\pi\)
0.486982 + 0.873412i \(0.338098\pi\)
\(192\) 0.806632 1.53276i 0.0582136 0.110617i
\(193\) 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
\(195\) −23.2348 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 −0.0422423 0.999107i \(-0.513450\pi\)
−0.886374 + 0.462971i \(0.846783\pi\)
\(200\) 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 0.868488 0.495710i \(-0.165092\pi\)
0.00494636 + 0.999988i \(0.498426\pi\)
\(228\) −3.81695 + 7.25294i −0.252784 + 0.480338i
\(229\) −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
\(231\) −4.46995 + 4.13049i −0.294101 + 0.271766i
\(232\) 6.29862i 0.413525i
\(233\) 23.8631 13.7774i 1.56332 0.902586i 0.566407 0.824126i \(-0.308333\pi\)
0.996917 0.0784603i \(-0.0250004\pi\)
\(234\) 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 −0.917167 0.398503i \(-0.869530\pi\)
0.803697 + 0.595038i \(0.202863\pi\)
\(242\) 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 0.875209 0.483745i \(-0.160724\pi\)
−0.856540 + 0.516081i \(0.827390\pi\)
\(258\) 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 −0.430859 0.902419i \(-0.641789\pi\)
−0.996947 + 0.0780752i \(0.975123\pi\)
\(264\) 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 −0.637052 0.770820i \(-0.719847\pi\)
0.986076 + 0.166293i \(0.0531799\pi\)
\(270\) 17.8271 + 7.66590i 1.08492 + 0.466532i
\(271\) 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
\(273\) 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 −0.926748 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 \(-0.734431\pi\)
−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 0.679885 0.733318i \(-0.262030\pi\)
−0.295130 + 0.955457i \(0.595363\pi\)
\(284\) 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 \(-0.859666\pi\)
0.904379 0.426730i \(-0.140334\pi\)
\(294\) 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 0.255890 + 0.966706i \(0.417632\pi\)
−0.965137 + 0.261746i \(0.915702\pi\)
\(312\) −5.11755 3.57920i −0.289724 0.202632i
\(313\) 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
\(315\) 7.68023 28.6301i 0.432732 1.61312i
\(316\) −14.4502 −0.812888
\(317\) −7.58692 13.1409i −0.426124 0.738068i 0.570401 0.821367i \(-0.306788\pi\)
−0.996525 + 0.0832983i \(0.973455\pi\)
\(318\) 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 −0.993207 0.116360i \(-0.962878\pi\)
−0.395833 + 0.918322i \(0.629544\pi\)
\(332\) −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 −0.314011 0.949419i \(-0.601673\pi\)
−0.979227 + 0.202768i \(0.935006\pi\)
\(348\) −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 0.679472 0.733701i \(-0.262209\pi\)
−0.295668 + 0.955291i \(0.595542\pi\)
\(354\) −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 0.615335 0.788266i \(-0.289021\pi\)
−0.990326 + 0.138763i \(0.955687\pi\)
\(360\) −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 0.552797 0.833316i \(-0.313561\pi\)
−0.445274 + 0.895394i \(0.646894\pi\)
\(368\) 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 −0.991262 0.131911i \(-0.957889\pi\)
0.381392 0.924413i \(-0.375445\pi\)
\(374\) 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 \(0.153802\pi\)
−0.885520 + 0.464601i \(0.846198\pi\)
\(380\) −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 −0.667413 0.744688i \(-0.732598\pi\)
0.311212 + 0.950340i \(0.399265\pi\)
\(384\) −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 −0.402128 0.915583i \(-0.631729\pi\)
−0.993983 + 0.109539i \(0.965063\pi\)
\(390\) 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 −0.975115 0.221700i \(-0.928840\pi\)
0.295560 0.955324i \(-0.404494\pi\)
\(398\) 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 0.990341 0.138651i \(-0.0442766\pi\)
−0.615246 + 0.788335i \(0.710943\pi\)
\(402\) 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 −0.999751 0.0223276i \(-0.992892\pi\)
0.519212 + 0.854646i \(0.326226\pi\)
\(410\) −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 \(0.0634377\pi\)
−0.980206 + 0.197979i \(0.936562\pi\)
\(422\) 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 −0.960152 0.279480i \(-0.909838\pi\)
0.722112 + 0.691776i \(0.243171\pi\)
\(432\) 3.10765 + 4.16443i 0.149517 + 0.200361i
\(433\) 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
\(438\) 11.6341 22.1071i 0.555899 1.05632i
\(439\) −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
\(441\) 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 −0.521601 0.853189i \(-0.674665\pi\)
0.478083 + 0.878315i \(0.341332\pi\)
\(444\) −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 −0.267191 0.963644i \(-0.586095\pi\)
0.700945 + 0.713216i \(0.252762\pi\)
\(458\) −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 \(-0.928851\pi\)
0.975123 0.221663i \(-0.0711485\pi\)
\(462\) 5.81208 + 1.80585i 0.270403 + 0.0840158i
\(463\) 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
\(465\) −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 0.919961 0.392010i \(-0.128220\pi\)
−0.799471 + 0.600704i \(0.794887\pi\)
\(468\) 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 0.106038 0.994362i \(-0.466184\pi\)
−0.808124 + 0.589012i \(0.799517\pi\)
\(480\) 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 0.863884 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 \(0.0258893\pi\)
−0.996694 + 0.0812438i \(0.974111\pi\)
\(492\) 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 −0.337873 0.941192i \(-0.609707\pi\)
0.646160 + 0.763202i \(0.276374\pi\)
\(500\) 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 −0.146078 0.989273i \(-0.546665\pi\)
0.783696 + 0.621144i \(0.213332\pi\)
\(510\) 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 −0.829861 0.557971i \(-0.811580\pi\)
0.898147 + 0.439695i \(0.144914\pi\)
\(522\) −17.0534 8.13852i −0.746407 0.356213i
\(523\) −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
\(525\) 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 −0.493824 0.869562i \(-0.664401\pi\)
0.506150 + 0.862445i \(0.331068\pi\)
\(542\) 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 −0.567946 0.823066i \(-0.692262\pi\)
0.996769 + 0.0803231i \(0.0255952\pi\)
\(558\) 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 −0.279621 0.960111i \(-0.590209\pi\)
0.971290 0.237897i \(-0.0764580\pi\)
\(564\) 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 0.521959 0.852971i \(-0.325201\pi\)
0.999674 0.0255443i \(-0.00813190\pi\)
\(570\) −27.0867 14.2547i −1.13454 0.597064i
\(571\) −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
\(576\) −1.69869 2.47274i −0.0707788 0.103031i
\(577\) 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
\(579\) 11.1357 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 \(-0.937496\pi\)
0.980783 0.195103i \(-0.0625043\pi\)
\(588\) −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 0.268933 0.963159i \(-0.413329\pi\)
0.968587 + 0.248677i \(0.0799956\pi\)
\(594\) −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 0.430473 0.902604i \(-0.358347\pi\)
−0.566441 + 0.824102i \(0.691680\pi\)
\(600\) −8.26796 13.1070i −0.337538 0.535092i
\(601\) 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
\(606\) −7.55843 + 14.3625i −0.307040 + 0.583436i
\(607\) 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
\(609\) −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 0.332945 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 \(-0.903680\pi\)
−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 −0.0573430 0.998355i \(-0.518263\pi\)
0.893272 0.449517i \(-0.148404\pi\)
\(620\) 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 \(-0.985078\pi\)
0.998901 0.0468609i \(-0.0149218\pi\)
\(632\) 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 0.756266 0.654265i \(-0.227022\pi\)
−0.188477 + 0.982078i \(0.560355\pi\)
\(642\) −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 0.406895 + 0.913475i \(0.366612\pi\)
−0.994540 + 0.104356i \(0.966722\pi\)
\(648\) −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 −0.621456 0.783449i \(-0.713459\pi\)
0.367759 + 0.929921i \(0.380125\pi\)
\(654\) −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 \(-0.780330\pi\)
0.771174 0.636624i \(-0.219670\pi\)
\(660\) −7.26603 + 4.58344i −0.282830 + 0.178410i
\(661\) 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
\(663\) −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 0.976112 + 0.217266i \(0.0697139\pi\)
−0.299898 + 0.953971i \(0.596953\pi\)
\(678\) 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 −0.420323 0.907375i \(-0.638083\pi\)
0.995971 0.0896770i \(-0.0285835\pi\)
\(684\) 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 0.562616 0.826719i \(-0.309795\pi\)
−0.997267 + 0.0738803i \(0.976462\pi\)
\(692\) 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 \(-0.796772\pi\)
0.803015 0.595959i \(-0.203228\pi\)
\(702\) 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 −0.742169 0.670213i \(-0.766203\pi\)
0.209336 + 0.977844i \(0.432870\pi\)
\(710\) 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 0.674950 0.737863i \(-0.264165\pi\)
−0.976483 + 0.215592i \(0.930832\pi\)
\(720\) 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 \(-0.901896\pi\)
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
\(732\) 8.58576 + 4.51836i 0.317339 + 0.167003i
\(733\) −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
\(735\) 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 0.719912 0.694066i \(-0.244182\pi\)
−0.241123 + 0.970495i \(0.577516\pi\)
\(740\) −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 0.503228 0.864154i \(-0.332146\pi\)
−0.999993 + 0.00373163i \(0.998812\pi\)
\(752\) −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 0.147725 0.989028i \(-0.452805\pi\)
0.930386 + 0.366580i \(0.119471\pi\)
\(762\) −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 −0.314748 0.949175i \(-0.601920\pi\)
−0.979384 + 0.202007i \(0.935253\pi\)
\(774\) 12.3378 25.8525i 0.443473 0.929250i
\(775\) −14.9195