Properties

Label 546.2.bg.b.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.b.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} +(2.87145 + 2.18055i) 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} +(-5.84786 + 2.19148i) 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} +(3.32413 - 1.39647i) 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} +(8.14345 - 10.7237i) 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} +(-1.02605 + 6.16013i) 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} +(-9.08738 - 2.90163i) 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 −0.448134 0.893966i \(-0.647911\pi\)
−0.998265 + 0.0588875i \(0.981245\pi\)
\(6\) 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 \(-0.102501\pi\)
−0.748379 + 0.663271i \(0.769168\pi\)
\(12\) 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 \(0.349300\pi\)
−0.998742 + 0.0501391i \(0.984034\pi\)
\(20\) 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
\(26\) 2.87145 + 2.18055i 0.563137 + 0.427641i
\(27\) −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 0.676525 0.736419i \(-0.263485\pi\)
−0.976021 + 0.217679i \(0.930152\pi\)
\(32\) 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 \(-0.0645861\pi\)
0.315227 + 0.949016i \(0.397919\pi\)
\(38\) 2.36598 + 4.09800i 0.383812 + 0.664783i
\(39\) −5.84786 + 2.19148i −0.936406 + 0.350917i
\(40\) 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 \(-0.532431\pi\)
−0.912389 + 0.409324i \(0.865765\pi\)
\(48\) −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
\(52\) 3.32413 1.39647i 0.460974 0.193656i
\(53\) −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 −0.963364 0.268199i \(-0.913572\pi\)
−0.249415 + 0.968397i \(0.580238\pi\)
\(60\) −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
\(65\) 8.14345 10.7237i 1.01007 1.33011i
\(66\) 1.07130 + 2.03567i 0.131867 + 0.250574i
\(67\) 3.51817 2.03122i 0.429813 0.248153i −0.269454 0.963013i \(-0.586843\pi\)
0.699267 + 0.714861i \(0.253510\pi\)
\(68\) 2.49232 4.31682i 0.302238 0.523491i
\(69\) 0.0784657 2.00253i 0.00944616 0.241077i
\(70\) −3.29896 9.31379i −0.394301 1.11321i
\(71\) 9.95545 1.18150 0.590748 0.806856i \(-0.298833\pi\)
0.590748 + 0.806856i \(0.298833\pi\)
\(72\) 1.69869 2.47274i 0.200193 0.291415i
\(73\) 7.21154 + 12.4907i 0.844046 + 1.46193i 0.886447 + 0.462830i \(0.153166\pi\)
−0.0424005 + 0.999101i \(0.513501\pi\)
\(74\) 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
\(78\) −1.02605 + 6.16013i −0.116178 + 0.697498i
\(79\) 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 \(0.120731\pi\)
−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 \(-0.283296\pi\)
−0.358259 + 0.933622i \(0.616629\pi\)
\(90\) 0.876652 11.1694i 0.0924072 1.17736i
\(91\) −9.08738 2.90163i −0.952617 0.304174i
\(92\) 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 \(-0.334355\pi\)
0.497217 + 0.867626i \(0.334355\pi\)
\(98\) −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 −0.906233 0.422780i \(-0.861054\pi\)
−0.0869783 + 0.996210i \(0.527721\pi\)
\(110\) −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
\(117\) −8.07607 7.19563i −0.746633 0.665236i
\(118\) 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
\(130\) −5.21524 12.4143i −0.457407 1.08880i
\(131\) −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 0.894149 0.447769i \(-0.147781\pi\)
−0.834854 + 0.550471i \(0.814448\pi\)
\(138\) −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
\(143\) −4.41482 + 1.85467i −0.369186 + 0.155095i
\(144\) −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 \(-0.943826\pi\)
0.644274 + 0.764795i \(0.277160\pi\)
\(150\) 7.21704 + 13.7138i 0.589269 + 1.11973i
\(151\) −1.12265 + 0.648163i −0.0913600 + 0.0527467i −0.544984 0.838446i \(-0.683464\pi\)
0.453624 + 0.891193i \(0.350131\pi\)
\(152\) 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
\(156\) 4.82180 + 3.96865i 0.386053 + 0.317747i
\(157\) 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 0.254192 0.967154i \(-0.418190\pi\)
−0.710484 + 0.703714i \(0.751524\pi\)
\(164\) −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 0.0459336 + 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 \(-0.179947\pi\)
\(182\) −7.05658 + 6.41909i −0.523068 + 0.475815i
\(183\) −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 −0.717853 0.696195i \(-0.754875\pi\)
0.243996 + 0.969776i \(0.421542\pi\)
\(194\) 4.89702 8.48189i 0.351586 0.608964i
\(195\) 23.0055 + 3.83188i 1.64746 + 0.274407i
\(196\) 1.09606 + 6.91366i 0.0782901 + 0.493833i
\(197\) −6.65182 −0.473922 −0.236961 0.971519i \(-0.576151\pi\)
−0.236961 + 0.971519i \(0.576151\pi\)
\(198\) −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
\(208\) −2.87145 2.18055i −0.199099 0.151194i
\(209\) −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
\(221\) −16.5696 + 6.96090i −1.11459 + 0.468241i
\(222\) 13.3218 + 8.40346i 0.894103 + 0.564004i
\(223\) 21.3728 1.43123 0.715616 0.698494i \(-0.246146\pi\)
0.715616 + 0.698494i \(0.246146\pi\)
\(224\) −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 \(-0.834908\pi\)
−0.00494636 + 0.999988i \(0.501574\pi\)
\(228\) 3.81695 + 7.25294i 0.252784 + 0.480338i
\(229\) 10.7812 18.6737i 0.712445 1.23399i −0.251492 0.967859i \(-0.580921\pi\)
0.963937 0.266131i \(-0.0857454\pi\)
\(230\) 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 \(0.308333\pi\)
\(234\) −10.2696 + 3.39627i −0.671347 + 0.222021i
\(235\) 14.9903 + 25.9640i 0.977861 + 1.69371i
\(236\) 9.31553 + 5.37832i 0.606389 + 0.350099i
\(237\) 25.0093 + 0.979944i 1.62453 + 0.0636542i
\(238\) −2.40239 + 12.9674i −0.155724 + 0.840555i
\(239\) 12.0981 0.782563 0.391282 0.920271i \(-0.372032\pi\)
0.391282 + 0.920271i \(0.372032\pi\)
\(240\) 5.47095 + 3.45110i 0.353148 + 0.222767i
\(241\) 1.76152 + 3.05105i 0.113470 + 0.196535i 0.917167 0.398503i \(-0.130470\pi\)
−0.803697 + 0.595038i \(0.797137\pi\)
\(242\) −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
\(247\) −13.5876 10.3183i −0.864556 0.656535i
\(248\) 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 \(0.445277\pi\)
−0.938795 + 0.344477i \(0.888056\pi\)
\(272\) −4.98464 −0.302238
\(273\) −2.88267 16.2693i −0.174467 0.984663i
\(274\) 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 \(-0.265569\pi\)
0.671689 + 0.740834i \(0.265569\pi\)
\(282\) −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 \(-0.859666\pi\)
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
\(299\) 2.52301 3.32241i 0.145909 0.192140i
\(300\) 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 \(-0.449568\pi\)
0.157775 + 0.987475i \(0.449568\pi\)
\(308\) 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 \(-0.417632\pi\)
\(312\) 5.84786 2.19148i 0.331070 0.124068i
\(313\) 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 −0.570401 0.821367i \(-0.693212\pi\)
0.996525 + 0.0832983i \(0.0265454\pi\)
\(318\) −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
\(325\) −29.7415 + 12.4944i −1.64976 + 0.693065i
\(326\) −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 \(-0.0371225\pi\)
0.395833 + 0.918322i \(0.370456\pi\)
\(332\) 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 \(0.297305\pi\)
\(338\) −9.09973 + 9.28412i −0.494960 + 0.504989i
\(339\) −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 \(-0.461167\pi\)
0.121695 + 0.992567i \(0.461167\pi\)
\(350\) −4.31214 + 23.2758i −0.230494 + 1.24414i
\(351\) 4.51474 18.1829i 0.240979 0.970530i
\(352\) −0.664055 + 1.15018i −0.0353943 + 0.0613047i
\(353\) −7.21102 + 4.16329i −0.383804 + 0.221589i −0.679472 0.733701i \(-0.737791\pi\)
0.295668 + 0.955291i \(0.404458\pi\)
\(354\) −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 \(-0.710979\pi\)
0.990326 + 0.138763i \(0.0443126\pi\)
\(360\) −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
\(364\) 2.03081 + 9.32072i 0.106443 + 0.488538i
\(365\) 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 \(0.153802\pi\)
−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 \(-0.267402\pi\)
−0.311212 + 0.950340i \(0.600735\pi\)
\(384\) 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 \(0.631729\pi\)
\(390\) 14.8213 18.0074i 0.750504 0.911842i
\(391\) 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 \(-0.595506\pi\)
0.975115 0.221700i \(-0.0711605\pi\)
\(398\) 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 \(-0.955723\pi\)
0.615246 + 0.788335i \(0.289057\pi\)
\(402\) 6.22673 3.27689i 0.310561 0.163436i
\(403\) 11.0861 4.65728i 0.552238 0.231996i
\(404\) 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 \(-0.00710770\pi\)
−0.519212 + 0.854646i \(0.673774\pi\)
\(410\) 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
\(416\) −3.32413 + 1.39647i −0.162979 + 0.0684677i
\(417\) −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
\(429\) −6.40389 5.27081i −0.309183 0.254477i
\(430\) 30.8824 17.8300i 1.48928 0.859837i
\(431\) 4.94182 + 8.55948i 0.238039 + 0.412296i 0.960152 0.279480i \(-0.0901620\pi\)
−0.722112 + 0.691776i \(0.756829\pi\)
\(432\) 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 \(-0.557406\pi\)
−0.179371 + 0.983782i \(0.557406\pi\)
\(450\) −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
\(455\) 23.9726 + 26.3534i 1.12385 + 1.23547i
\(456\) 8.18971 + 0.320899i 0.383518 + 0.0150275i
\(457\) −9.27260 5.35354i −0.433754 0.250428i 0.267191 0.963644i \(-0.413905\pi\)
−0.700945 + 0.713216i \(0.747238\pi\)
\(458\) −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 −0.799471 0.600704i \(-0.794887\pi\)
0.919961 + 0.392010i \(0.128220\pi\)
\(468\) −2.19356 + 10.5919i −0.101397 + 0.489611i
\(469\) 3.58857 + 10.1314i 0.165705 + 0.467826i
\(470\) 29.9807 1.38290
\(471\) 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 \(-0.533816\pi\)
0.808124 + 0.589012i \(0.200483\pi\)
\(480\) 5.72421 3.01244i 0.261273 0.137498i
\(481\) −19.8294 + 26.1123i −0.904142 + 1.19062i
\(482\) 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 \(-0.831975\pi\)
0.00426783 + 0.999991i \(0.498642\pi\)
\(488\) −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
\(494\) −15.7297 + 6.60805i −0.707711 + 0.297310i
\(495\) 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 \(-0.390293\pi\)
−0.646160 + 0.763202i \(0.723626\pi\)
\(500\) −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
\(507\) −5.19171 21.9100i −0.230572 0.973055i
\(508\) −5.30202 9.18338i −0.235239 0.407446i
\(509\) −14.3853 8.30537i −0.637618 0.368129i 0.146078 0.989273i \(-0.453335\pi\)
−0.783696 + 0.621144i \(0.786668\pi\)
\(510\) 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
\(520\) −8.14345 + 10.7237i −0.357114 + 0.470264i
\(521\) 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 0.493824 0.869562i \(-0.335599\pi\)
−0.506150 + 0.862445i \(0.668932\pi\)
\(542\) 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
\(546\) −15.5310 5.63818i −0.664664 0.241292i
\(547\) 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 \(-0.307738\pi\)
−0.996769 + 0.0803231i \(0.974405\pi\)
\(558\) 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 \(0.886741\pi\)
\(572\) 3.81360 + 2.89601i 0.159455 + 0.121088i
\(573\) 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 \(-0.255692\pi\)
−0.970399 + 0.241506i \(0.922359\pi\)
\(578\) 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
\(585\) 12.6837 + 38.3528i 0.524405 + 1.58569i
\(586\) −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 \(-0.586671\pi\)
−0.968587 + 0.248677i \(0.920004\pi\)
\(594\) −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
\(598\) −1.61579 3.84619i −0.0660745 0.157283i
\(599\) −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
\(611\) 17.5051 23.0515i 0.708180 0.932564i
\(612\) 6.44070 + 13.4958i 0.260350 + 0.545535i
\(613\) 7.85345 4.53419i 0.317198 0.183134i −0.332945 0.942946i \(-0.608042\pi\)
0.650143 + 0.759812i \(0.274709\pi\)
\(614\) 2.76445 4.78816i 0.111564 0.193234i
\(615\) −28.3131 1.10940i −1.14169 0.0447352i
\(616\) 3.31221 1.17319i 0.133453 0.0472692i
\(617\) 47.4218 1.90913 0.954565 0.298002i \(-0.0963202\pi\)
0.954565 + 0.298002i \(0.0963202\pi\)
\(618\) −0.263883 0.166459i −0.0106149 0.00669594i
\(619\) −20.7977 36.0226i −0.835929 1.44787i −0.893272 0.449517i \(-0.851596\pi\)
0.0573430 0.998355i \(-0.481737\pi\)
\(620\) 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
\(624\) 1.02605 6.16013i 0.0410750 0.246603i
\(625\) −5.15775 + 8.93348i −0.206310 + 0.357339i
\(626\) 12.4242 7.17314i 0.496573 0.286696i
\(627\) −5.06933 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
\(637\) 11.9283 22.2422i 0.472616 0.881269i
\(638\) 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 \(-0.536970\pi\)
−0.115883 + 0.993263i \(0.536970\pi\)
\(644\) −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 0.809064 0.587721i \(-0.199975\pi\)
−0.913513 + 0.406809i \(0.866641\pi\)
\(662\) 25.2714 14.5904i 0.982200 0.567073i
\(663\) −24.0349 19.7823i −0.933440 0.768280i
\(664\) 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
\(676\) 3.49042 + 12.5227i 0.134247 + 0.481641i
\(677\) 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 \(-0.971417\pi\)
0.420323 0.907375i \(-0.361917\pi\)
\(684\) −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
\(689\) −2.20130 5.23992i −0.0838627 0.199625i
\(690\) 3.48554 + 6.62321i 0.132692 + 0.252141i
\(691\) 11.4256 19.7898i 0.434651 0.752838i −0.562616 0.826719i \(-0.690205\pi\)
0.997267 + 0.0738803i \(0.0235383\pi\)
\(692\) 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 \(0.796772\pi\)
\(702\) −13.4895 13.0013i −0.509127 0.490703i
\(703\) −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 \(-0.233797\pi\)
−0.209336 + 0.977844i \(0.567130\pi\)
\(710\) −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 \(0.901896\pi\)
\(728\) 9.08738 + 2.90163i 0.336801 + 0.107542i
\(729\) 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 \(-0.427309\pi\)
0.730348 0.683075i \(-0.239358\pi\)
\(734\) 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 \(-0.755818\pi\)
0.241123 + 0.970495i \(0.422484\pi\)
\(740\) −16.9807 + 29.4115i −0.624224 + 1.08119i
\(741\) 4.85524 29.1495i 0.178362 1.07083i
\(742\) −4.10079 0.759723i −0.150545 0.0278903i
\(743\) 22.4238 0.822651 0.411326 0.911489i \(-0.365066\pi\)
0.411326 + 0.911489i \(0.365066\pi\)
\(744\) −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
\(754\) 13.7344 18.0862i 0.500179 0.658659i
\(755\) 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 \(-0.547195\pi\)
−0.930386 + 0.366580i \(0.880529\pi\)
\(762\) 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
\(767\) −15.0214 35.7565i −0.542390 1.29109i
\(768\) 0.924091 1.46494i 0.0333453 0.0528615i
\(769\) 22.9273 0.826779 0.413390 0.910554i \(-0.364345\pi\)
0.413390 + 0.910554i \(0.364345\pi\)
\(770\) 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 \(-0.398080\pi\)
0.979384 + 0.202007i \(0.0647465\pi\)
\(774\) −12.3378 25.8525i −0.443473 0.929250i
\(775\) 14.9195 </