Properties

Label 585.2.bt.b.571.35
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.35
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.35

$q$-expansion

\(f(q)\) \(=\) \(q+(0.774258 - 0.447018i) q^{2} +(-0.513274 + 1.65425i) q^{3} +(-0.600350 + 1.03984i) q^{4} +(0.866025 + 0.500000i) q^{5} +(0.342074 + 1.51026i) q^{6} +(-1.76954 + 1.02164i) q^{7} +2.86154i q^{8} +(-2.47310 - 1.69817i) q^{9} +O(q^{10})\) \(q+(0.774258 - 0.447018i) q^{2} +(-0.513274 + 1.65425i) q^{3} +(-0.600350 + 1.03984i) q^{4} +(0.866025 + 0.500000i) q^{5} +(0.342074 + 1.51026i) q^{6} +(-1.76954 + 1.02164i) q^{7} +2.86154i q^{8} +(-2.47310 - 1.69817i) q^{9} +0.894036 q^{10} +(-0.659790 + 0.380930i) q^{11} +(-1.41201 - 1.52685i) q^{12} +(2.22492 - 2.83720i) q^{13} +(-0.913387 + 1.58203i) q^{14} +(-1.27163 + 1.17599i) q^{15} +(0.0784618 + 0.135900i) q^{16} -2.67783 q^{17} +(-2.67393 - 0.209302i) q^{18} +7.38079i q^{19} +(-1.03984 + 0.600350i) q^{20} +(-0.781798 - 3.45165i) q^{21} +(-0.340565 + 0.589876i) q^{22} +(-1.72917 + 2.99502i) q^{23} +(-4.73371 - 1.46876i) q^{24} +(0.500000 + 0.866025i) q^{25} +(0.454381 - 3.19131i) q^{26} +(4.07858 - 3.21950i) q^{27} -2.45338i q^{28} +(-4.28619 - 7.42389i) q^{29} +(-0.458886 + 1.47896i) q^{30} +(-7.28497 - 4.20598i) q^{31} +(-4.83484 - 2.79139i) q^{32} +(-0.291501 - 1.28698i) q^{33} +(-2.07333 + 1.19704i) q^{34} -2.04329 q^{35} +(3.25054 - 1.55212i) q^{36} +3.24522i q^{37} +(3.29935 + 5.71463i) q^{38} +(3.55146 + 5.13684i) q^{39} +(-1.43077 + 2.47817i) q^{40} +(5.25284 + 3.03273i) q^{41} +(-2.14826 - 2.32299i) q^{42} +(5.42269 + 9.39238i) q^{43} -0.914765i q^{44} +(-1.29268 - 2.70721i) q^{45} +3.09189i q^{46} +(-0.719689 + 0.415513i) q^{47} +(-0.265085 + 0.0600417i) q^{48} +(-1.41248 + 2.44650i) q^{49} +(0.774258 + 0.447018i) q^{50} +(1.37446 - 4.42981i) q^{51} +(1.61450 + 4.01687i) q^{52} +12.9596 q^{53} +(1.71870 - 4.31592i) q^{54} -0.761860 q^{55} +(-2.92348 - 5.06361i) q^{56} +(-12.2097 - 3.78837i) q^{57} +(-6.63723 - 3.83201i) q^{58} +(8.57721 + 4.95206i) q^{59} +(-0.459408 - 2.02829i) q^{60} +(1.11958 + 1.93918i) q^{61} -7.52059 q^{62} +(6.11117 + 0.478351i) q^{63} -5.30506 q^{64} +(3.34544 - 1.34463i) q^{65} +(-0.801001 - 0.866149i) q^{66} +(0.874153 + 0.504693i) q^{67} +(1.60764 - 2.78451i) q^{68} +(-4.06697 - 4.39775i) q^{69} +(-1.58203 + 0.913387i) q^{70} +16.2829i q^{71} +(4.85938 - 7.07688i) q^{72} +8.99447i q^{73} +(1.45067 + 2.51264i) q^{74} +(-1.68926 + 0.382617i) q^{75} +(-7.67481 - 4.43105i) q^{76} +(0.778350 - 1.34814i) q^{77} +(5.04601 + 2.38968i) q^{78} +(-7.11738 - 12.3277i) q^{79} +0.156924i q^{80} +(3.23244 + 8.39948i) q^{81} +5.42274 q^{82} +(7.52521 - 4.34468i) q^{83} +(4.05850 + 1.25925i) q^{84} +(-2.31907 - 1.33892i) q^{85} +(8.39713 + 4.84808i) q^{86} +(14.4810 - 3.27994i) q^{87} +(-1.09005 - 1.88802i) q^{88} -6.84329i q^{89} +(-2.21104 - 1.51823i) q^{90} +(-1.03847 + 7.29363i) q^{91} +(-2.07622 - 3.59611i) q^{92} +(10.6969 - 9.89235i) q^{93} +(-0.371484 + 0.643428i) q^{94} +(-3.69039 + 6.39195i) q^{95} +(7.09926 - 6.56529i) q^{96} +(-0.0788540 + 0.0455264i) q^{97} +2.52563i q^{98} +(2.27861 + 0.178358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.774258 0.447018i 0.547483 0.316090i −0.200623 0.979669i \(-0.564297\pi\)
0.748106 + 0.663579i \(0.230963\pi\)
\(3\) −0.513274 + 1.65425i −0.296339 + 0.955083i
\(4\) −0.600350 + 1.03984i −0.300175 + 0.519918i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 0.342074 + 1.51026i 0.139651 + 0.616561i
\(7\) −1.76954 + 1.02164i −0.668823 + 0.386145i −0.795631 0.605782i \(-0.792860\pi\)
0.126807 + 0.991927i \(0.459527\pi\)
\(8\) 2.86154i 1.01171i
\(9\) −2.47310 1.69817i −0.824366 0.566057i
\(10\) 0.894036 0.282719
\(11\) −0.659790 + 0.380930i −0.198934 + 0.114855i −0.596158 0.802867i \(-0.703307\pi\)
0.397224 + 0.917722i \(0.369974\pi\)
\(12\) −1.41201 1.52685i −0.407611 0.440764i
\(13\) 2.22492 2.83720i 0.617082 0.786899i
\(14\) −0.913387 + 1.58203i −0.244113 + 0.422816i
\(15\) −1.27163 + 1.17599i −0.328335 + 0.303639i
\(16\) 0.0784618 + 0.135900i 0.0196155 + 0.0339750i
\(17\) −2.67783 −0.649470 −0.324735 0.945805i \(-0.605275\pi\)
−0.324735 + 0.945805i \(0.605275\pi\)
\(18\) −2.67393 0.209302i −0.630251 0.0493328i
\(19\) 7.38079i 1.69327i 0.532175 + 0.846634i \(0.321375\pi\)
−0.532175 + 0.846634i \(0.678625\pi\)
\(20\) −1.03984 + 0.600350i −0.232514 + 0.134242i
\(21\) −0.781798 3.45165i −0.170602 0.753212i
\(22\) −0.340565 + 0.589876i −0.0726088 + 0.125762i
\(23\) −1.72917 + 2.99502i −0.360558 + 0.624504i −0.988053 0.154116i \(-0.950747\pi\)
0.627495 + 0.778620i \(0.284080\pi\)
\(24\) −4.73371 1.46876i −0.966265 0.299808i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 0.454381 3.19131i 0.0891114 0.625867i
\(27\) 4.07858 3.21950i 0.784923 0.619594i
\(28\) 2.45338i 0.463644i
\(29\) −4.28619 7.42389i −0.795925 1.37858i −0.922250 0.386593i \(-0.873652\pi\)
0.126326 0.991989i \(-0.459682\pi\)
\(30\) −0.458886 + 1.47896i −0.0837807 + 0.270020i
\(31\) −7.28497 4.20598i −1.30842 0.755416i −0.326586 0.945167i \(-0.605898\pi\)
−0.981832 + 0.189751i \(0.939232\pi\)
\(32\) −4.83484 2.79139i −0.854686 0.493453i
\(33\) −0.291501 1.28698i −0.0507438 0.224035i
\(34\) −2.07333 + 1.19704i −0.355574 + 0.205291i
\(35\) −2.04329 −0.345379
\(36\) 3.25054 1.55212i 0.541757 0.258687i
\(37\) 3.24522i 0.533511i 0.963764 + 0.266756i \(0.0859517\pi\)
−0.963764 + 0.266756i \(0.914048\pi\)
\(38\) 3.29935 + 5.71463i 0.535224 + 0.927036i
\(39\) 3.55146 + 5.13684i 0.568688 + 0.822553i
\(40\) −1.43077 + 2.47817i −0.226225 + 0.391833i
\(41\) 5.25284 + 3.03273i 0.820356 + 0.473633i 0.850539 0.525911i \(-0.176276\pi\)
−0.0301829 + 0.999544i \(0.509609\pi\)
\(42\) −2.14826 2.32299i −0.331484 0.358445i
\(43\) 5.42269 + 9.39238i 0.826953 + 1.43232i 0.900418 + 0.435026i \(0.143261\pi\)
−0.0734653 + 0.997298i \(0.523406\pi\)
\(44\) 0.914765i 0.137906i
\(45\) −1.29268 2.70721i −0.192702 0.403567i
\(46\) 3.09189i 0.455874i
\(47\) −0.719689 + 0.415513i −0.104977 + 0.0606088i −0.551570 0.834129i \(-0.685971\pi\)
0.446592 + 0.894738i \(0.352638\pi\)
\(48\) −0.265085 + 0.0600417i −0.0382617 + 0.00866628i
\(49\) −1.41248 + 2.44650i −0.201784 + 0.349499i
\(50\) 0.774258 + 0.447018i 0.109497 + 0.0632179i
\(51\) 1.37446 4.42981i 0.192463 0.620297i
\(52\) 1.61450 + 4.01687i 0.223891 + 0.557039i
\(53\) 12.9596 1.78014 0.890072 0.455819i \(-0.150654\pi\)
0.890072 + 0.455819i \(0.150654\pi\)
\(54\) 1.71870 4.31592i 0.233885 0.587323i
\(55\) −0.761860 −0.102729
\(56\) −2.92348 5.06361i −0.390666 0.676654i
\(57\) −12.2097 3.78837i −1.61721 0.501781i
\(58\) −6.63723 3.83201i −0.871511 0.503167i
\(59\) 8.57721 + 4.95206i 1.11666 + 0.644703i 0.940546 0.339667i \(-0.110314\pi\)
0.176112 + 0.984370i \(0.443648\pi\)
\(60\) −0.459408 2.02829i −0.0593094 0.261852i
\(61\) 1.11958 + 1.93918i 0.143348 + 0.248286i 0.928755 0.370693i \(-0.120880\pi\)
−0.785407 + 0.618979i \(0.787546\pi\)
\(62\) −7.52059 −0.955116
\(63\) 6.11117 + 0.478351i 0.769936 + 0.0602666i
\(64\) −5.30506 −0.663133
\(65\) 3.34544 1.34463i 0.414951 0.166781i
\(66\) −0.801001 0.866149i −0.0985964 0.106616i
\(67\) 0.874153 + 0.504693i 0.106795 + 0.0616580i 0.552446 0.833549i \(-0.313695\pi\)
−0.445651 + 0.895207i \(0.647028\pi\)
\(68\) 1.60764 2.78451i 0.194954 0.337671i
\(69\) −4.06697 4.39775i −0.489606 0.529427i
\(70\) −1.58203 + 0.913387i −0.189089 + 0.109171i
\(71\) 16.2829i 1.93242i 0.257747 + 0.966212i \(0.417020\pi\)
−0.257747 + 0.966212i \(0.582980\pi\)
\(72\) 4.85938 7.07688i 0.572684 0.834018i
\(73\) 8.99447i 1.05272i 0.850261 + 0.526362i \(0.176444\pi\)
−0.850261 + 0.526362i \(0.823556\pi\)
\(74\) 1.45067 + 2.51264i 0.168637 + 0.292089i
\(75\) −1.68926 + 0.382617i −0.195059 + 0.0441809i
\(76\) −7.67481 4.43105i −0.880361 0.508276i
\(77\) 0.778350 1.34814i 0.0887012 0.153635i
\(78\) 5.04601 + 2.38968i 0.571348 + 0.270578i
\(79\) −7.11738 12.3277i −0.800768 1.38697i −0.919111 0.393998i \(-0.871092\pi\)
0.118343 0.992973i \(-0.462242\pi\)
\(80\) 0.156924i 0.0175446i
\(81\) 3.23244 + 8.39948i 0.359160 + 0.933276i
\(82\) 5.42274 0.598842
\(83\) 7.52521 4.34468i 0.826000 0.476891i −0.0264814 0.999649i \(-0.508430\pi\)
0.852481 + 0.522758i \(0.175097\pi\)
\(84\) 4.05850 + 1.25925i 0.442819 + 0.137396i
\(85\) −2.31907 1.33892i −0.251539 0.145226i
\(86\) 8.39713 + 4.84808i 0.905485 + 0.522782i
\(87\) 14.4810 3.27994i 1.55252 0.351646i
\(88\) −1.09005 1.88802i −0.116199 0.201263i
\(89\) 6.84329i 0.725387i −0.931909 0.362693i \(-0.881857\pi\)
0.931909 0.362693i \(-0.118143\pi\)
\(90\) −2.21104 1.51823i −0.233064 0.160035i
\(91\) −1.03847 + 7.29363i −0.108861 + 0.764580i
\(92\) −2.07622 3.59611i −0.216461 0.374921i
\(93\) 10.6969 9.89235i 1.10922 1.02579i
\(94\) −0.371484 + 0.643428i −0.0383156 + 0.0663646i
\(95\) −3.69039 + 6.39195i −0.378626 + 0.655800i
\(96\) 7.09926 6.56529i 0.724566 0.670067i
\(97\) −0.0788540 + 0.0455264i −0.00800641 + 0.00462250i −0.503998 0.863705i \(-0.668138\pi\)
0.495991 + 0.868327i \(0.334805\pi\)
\(98\) 2.52563i 0.255127i
\(99\) 2.27861 + 0.178358i 0.229009 + 0.0179256i
\(100\) −1.20070 −0.120070
\(101\) −1.01982 1.76639i −0.101476 0.175762i 0.810817 0.585300i \(-0.199023\pi\)
−0.912293 + 0.409538i \(0.865690\pi\)
\(102\) −0.916017 4.04423i −0.0906992 0.400438i
\(103\) 3.80915 6.59765i 0.375327 0.650085i −0.615049 0.788489i \(-0.710864\pi\)
0.990376 + 0.138404i \(0.0441971\pi\)
\(104\) 8.11878 + 6.36670i 0.796112 + 0.624306i
\(105\) 1.04877 3.38012i 0.102349 0.329865i
\(106\) 10.0341 5.79320i 0.974599 0.562685i
\(107\) 5.46465 0.528288 0.264144 0.964483i \(-0.414911\pi\)
0.264144 + 0.964483i \(0.414911\pi\)
\(108\) 0.899182 + 6.17388i 0.0865238 + 0.594082i
\(109\) 14.0618i 1.34688i 0.739244 + 0.673438i \(0.235183\pi\)
−0.739244 + 0.673438i \(0.764817\pi\)
\(110\) −0.589876 + 0.340565i −0.0562425 + 0.0324716i
\(111\) −5.36842 1.66569i −0.509548 0.158100i
\(112\) −0.277683 0.160320i −0.0262385 0.0151488i
\(113\) 1.56049 2.70286i 0.146799 0.254263i −0.783244 0.621715i \(-0.786436\pi\)
0.930043 + 0.367451i \(0.119770\pi\)
\(114\) −11.1469 + 2.52477i −1.04400 + 0.236467i
\(115\) −2.99502 + 1.72917i −0.279287 + 0.161246i
\(116\) 10.2928 0.955666
\(117\) −10.3205 + 3.23840i −0.954131 + 0.299390i
\(118\) 8.85464 0.815135
\(119\) 4.73853 2.73579i 0.434381 0.250790i
\(120\) −3.36514 3.63883i −0.307193 0.332179i
\(121\) −5.20978 + 9.02361i −0.473617 + 0.820328i
\(122\) 1.73369 + 1.00095i 0.156961 + 0.0906217i
\(123\) −7.71305 + 7.13291i −0.695462 + 0.643152i
\(124\) 8.74705 5.05011i 0.785509 0.453514i
\(125\) 1.00000i 0.0894427i
\(126\) 4.94546 2.36144i 0.440576 0.210374i
\(127\) 11.1041 0.985327 0.492664 0.870220i \(-0.336023\pi\)
0.492664 + 0.870220i \(0.336023\pi\)
\(128\) 5.56218 3.21133i 0.491632 0.283844i
\(129\) −18.3207 + 4.14963i −1.61305 + 0.365355i
\(130\) 1.98916 2.53656i 0.174461 0.222471i
\(131\) 4.01774 6.95893i 0.351032 0.608005i −0.635399 0.772184i \(-0.719164\pi\)
0.986431 + 0.164179i \(0.0524976\pi\)
\(132\) 1.51325 + 0.469525i 0.131712 + 0.0408669i
\(133\) −7.54054 13.0606i −0.653848 1.13250i
\(134\) 0.902427 0.0779578
\(135\) 5.14190 0.748882i 0.442545 0.0644535i
\(136\) 7.66273i 0.657073i
\(137\) 7.61873 4.39868i 0.650912 0.375804i −0.137894 0.990447i \(-0.544033\pi\)
0.788806 + 0.614643i \(0.210700\pi\)
\(138\) −5.11476 1.58699i −0.435397 0.135093i
\(139\) 2.22094 3.84679i 0.188378 0.326280i −0.756332 0.654188i \(-0.773010\pi\)
0.944710 + 0.327908i \(0.106344\pi\)
\(140\) 1.22669 2.12469i 0.103674 0.179569i
\(141\) −0.317965 1.40382i −0.0267775 0.118223i
\(142\) 7.27875 + 12.6072i 0.610819 + 1.05797i
\(143\) −0.387204 + 2.71950i −0.0323796 + 0.227416i
\(144\) 0.0367372 0.469335i 0.00306143 0.0391113i
\(145\) 8.57237i 0.711897i
\(146\) 4.02069 + 6.96404i 0.332755 + 0.576348i
\(147\) −3.32213 3.59233i −0.274004 0.296290i
\(148\) −3.37450 1.94827i −0.277382 0.160147i
\(149\) −8.46516 4.88736i −0.693493 0.400388i 0.111426 0.993773i \(-0.464458\pi\)
−0.804919 + 0.593384i \(0.797791\pi\)
\(150\) −1.13689 + 1.05138i −0.0928265 + 0.0858444i
\(151\) −7.11997 + 4.11072i −0.579415 + 0.334525i −0.760901 0.648868i \(-0.775243\pi\)
0.181486 + 0.983394i \(0.441909\pi\)
\(152\) −21.1204 −1.71309
\(153\) 6.62254 + 4.54741i 0.535401 + 0.367637i
\(154\) 1.39175i 0.112150i
\(155\) −4.20598 7.28497i −0.337832 0.585143i
\(156\) −7.47359 + 0.609032i −0.598366 + 0.0487616i
\(157\) −7.31859 + 12.6762i −0.584087 + 1.01167i 0.410901 + 0.911680i \(0.365214\pi\)
−0.994989 + 0.0999889i \(0.968119\pi\)
\(158\) −11.0214 6.36320i −0.876814 0.506229i
\(159\) −6.65185 + 21.4385i −0.527526 + 1.70019i
\(160\) −2.79139 4.83484i −0.220679 0.382227i
\(161\) 7.06640i 0.556911i
\(162\) 6.25746 + 5.05841i 0.491633 + 0.397426i
\(163\) 6.10213i 0.477956i 0.971025 + 0.238978i \(0.0768123\pi\)
−0.971025 + 0.238978i \(0.923188\pi\)
\(164\) −6.30709 + 3.64140i −0.492501 + 0.284345i
\(165\) 0.391043 1.26031i 0.0304427 0.0981149i
\(166\) 3.88431 6.72782i 0.301481 0.522180i
\(167\) 10.2878 + 5.93965i 0.796092 + 0.459624i 0.842103 0.539317i \(-0.181318\pi\)
−0.0460109 + 0.998941i \(0.514651\pi\)
\(168\) 9.87704 2.23715i 0.762030 0.172600i
\(169\) −3.09946 12.6251i −0.238420 0.971162i
\(170\) −2.39408 −0.183617
\(171\) 12.5338 18.2534i 0.958486 1.39587i
\(172\) −13.0220 −0.992921
\(173\) 0.449299 + 0.778209i 0.0341596 + 0.0591661i 0.882600 0.470125i \(-0.155791\pi\)
−0.848440 + 0.529291i \(0.822458\pi\)
\(174\) 9.74582 9.01278i 0.738829 0.683257i
\(175\) −1.76954 1.02164i −0.133765 0.0772291i
\(176\) −0.103537 0.0597769i −0.00780437 0.00450585i
\(177\) −12.5944 + 11.6471i −0.946654 + 0.875450i
\(178\) −3.05907 5.29847i −0.229287 0.397137i
\(179\) 6.17152 0.461281 0.230641 0.973039i \(-0.425918\pi\)
0.230641 + 0.973039i \(0.425918\pi\)
\(180\) 3.59111 + 0.281094i 0.267666 + 0.0209515i
\(181\) 6.05973 0.450416 0.225208 0.974311i \(-0.427694\pi\)
0.225208 + 0.974311i \(0.427694\pi\)
\(182\) 2.45634 + 6.11136i 0.182076 + 0.453004i
\(183\) −3.78254 + 0.856745i −0.279614 + 0.0633324i
\(184\) −8.57036 4.94810i −0.631815 0.364779i
\(185\) −1.62261 + 2.81045i −0.119297 + 0.206628i
\(186\) 3.86013 12.4410i 0.283038 0.912215i
\(187\) 1.76681 1.02007i 0.129202 0.0745947i
\(188\) 0.997812i 0.0727729i
\(189\) −3.92802 + 9.86390i −0.285722 + 0.717493i
\(190\) 6.59869i 0.478719i
\(191\) −5.00578 8.67026i −0.362205 0.627358i 0.626118 0.779728i \(-0.284643\pi\)
−0.988324 + 0.152370i \(0.951309\pi\)
\(192\) 2.72295 8.77591i 0.196512 0.633347i
\(193\) 8.99221 + 5.19166i 0.647274 + 0.373704i 0.787411 0.616428i \(-0.211421\pi\)
−0.140137 + 0.990132i \(0.544754\pi\)
\(194\) −0.0407022 + 0.0704983i −0.00292225 + 0.00506148i
\(195\) 0.507231 + 6.22436i 0.0363236 + 0.445736i
\(196\) −1.69597 2.93750i −0.121141 0.209822i
\(197\) 24.1432i 1.72013i −0.510184 0.860065i \(-0.670423\pi\)
0.510184 0.860065i \(-0.329577\pi\)
\(198\) 1.84396 0.880485i 0.131045 0.0625733i
\(199\) −23.8467 −1.69045 −0.845223 0.534414i \(-0.820532\pi\)
−0.845223 + 0.534414i \(0.820532\pi\)
\(200\) −2.47817 + 1.43077i −0.175233 + 0.101171i
\(201\) −1.28357 + 1.18702i −0.0905360 + 0.0837262i
\(202\) −1.57922 0.911760i −0.111113 0.0641512i
\(203\) 15.1692 + 8.75792i 1.06467 + 0.614685i
\(204\) 3.78112 + 4.08865i 0.264731 + 0.286263i
\(205\) 3.03273 + 5.25284i 0.211815 + 0.366875i
\(206\) 6.81104i 0.474548i
\(207\) 9.36246 4.47054i 0.650736 0.310724i
\(208\) 0.560147 + 0.0797541i 0.0388392 + 0.00552995i
\(209\) −2.81156 4.86977i −0.194480 0.336849i
\(210\) −0.698956 3.08590i −0.0482325 0.212947i
\(211\) −7.95867 + 13.7848i −0.547898 + 0.948987i 0.450521 + 0.892766i \(0.351238\pi\)
−0.998418 + 0.0562206i \(0.982095\pi\)
\(212\) −7.78032 + 13.4759i −0.534354 + 0.925529i
\(213\) −26.9360 8.35759i −1.84563 0.572653i
\(214\) 4.23105 2.44280i 0.289229 0.166986i
\(215\) 10.8454i 0.739649i
\(216\) 9.21274 + 11.6710i 0.626848 + 0.794112i
\(217\) 17.1881 1.16680
\(218\) 6.28588 + 10.8875i 0.425733 + 0.737392i
\(219\) −14.8791 4.61663i −1.00544 0.311963i
\(220\) 0.457382 0.792209i 0.0308367 0.0534107i
\(221\) −5.95796 + 7.59756i −0.400776 + 0.511067i
\(222\) −4.90113 + 1.11011i −0.328943 + 0.0745055i
\(223\) 6.50913 3.75805i 0.435883 0.251657i −0.265966 0.963982i \(-0.585691\pi\)
0.701850 + 0.712325i \(0.252358\pi\)
\(224\) 11.4072 0.762179
\(225\) 0.234109 2.99085i 0.0156072 0.199390i
\(226\) 2.79028i 0.185607i
\(227\) −14.1115 + 8.14725i −0.936610 + 0.540752i −0.888896 0.458109i \(-0.848527\pi\)
−0.0477142 + 0.998861i \(0.515194\pi\)
\(228\) 11.2694 10.4217i 0.746331 0.690195i
\(229\) −14.1418 8.16480i −0.934519 0.539545i −0.0462813 0.998928i \(-0.514737\pi\)
−0.888238 + 0.459383i \(0.848070\pi\)
\(230\) −1.54594 + 2.67765i −0.101937 + 0.176559i
\(231\) 1.83066 + 1.97955i 0.120449 + 0.130245i
\(232\) 21.2438 12.2651i 1.39472 0.805243i
\(233\) 15.2265 0.997518 0.498759 0.866741i \(-0.333789\pi\)
0.498759 + 0.866741i \(0.333789\pi\)
\(234\) −6.54311 + 7.12081i −0.427737 + 0.465502i
\(235\) −0.831026 −0.0542101
\(236\) −10.2987 + 5.94593i −0.670385 + 0.387047i
\(237\) 24.0462 5.44647i 1.56197 0.353786i
\(238\) 2.44590 4.23642i 0.158544 0.274606i
\(239\) −14.9885 8.65362i −0.969527 0.559756i −0.0704347 0.997516i \(-0.522439\pi\)
−0.899092 + 0.437760i \(0.855772\pi\)
\(240\) −0.259591 0.0805448i −0.0167565 0.00519915i
\(241\) −15.8138 + 9.13011i −1.01866 + 0.588122i −0.913715 0.406357i \(-0.866799\pi\)
−0.104942 + 0.994478i \(0.533466\pi\)
\(242\) 9.31547i 0.598821i
\(243\) −15.5540 + 1.03603i −0.997789 + 0.0664614i
\(244\) −2.68857 −0.172118
\(245\) −2.44650 + 1.41248i −0.156301 + 0.0902403i
\(246\) −2.78335 + 8.97058i −0.177460 + 0.571944i
\(247\) 20.9408 + 16.4217i 1.33243 + 1.04489i
\(248\) 12.0356 20.8462i 0.764260 1.32374i
\(249\) 3.32470 + 14.6786i 0.210695 + 0.930219i
\(250\) 0.447018 + 0.774258i 0.0282719 + 0.0489684i
\(251\) 19.4511 1.22774 0.613870 0.789407i \(-0.289612\pi\)
0.613870 + 0.789407i \(0.289612\pi\)
\(252\) −4.16625 + 6.06744i −0.262449 + 0.382213i
\(253\) 2.63478i 0.165647i
\(254\) 8.59742 4.96372i 0.539450 0.311452i
\(255\) 3.40522 3.14910i 0.213243 0.197204i
\(256\) 8.17611 14.1614i 0.511007 0.885089i
\(257\) 4.11933 7.13489i 0.256957 0.445062i −0.708468 0.705743i \(-0.750614\pi\)
0.965425 + 0.260680i \(0.0839469\pi\)
\(258\) −12.3300 + 11.4026i −0.767631 + 0.709893i
\(259\) −3.31546 5.74255i −0.206013 0.356825i
\(260\) −0.610237 + 4.28596i −0.0378453 + 0.265804i
\(261\) −2.00687 + 25.6387i −0.124222 + 1.58700i
\(262\) 7.18401i 0.443830i
\(263\) −3.99000 6.91088i −0.246034 0.426143i 0.716388 0.697702i \(-0.245794\pi\)
−0.962422 + 0.271559i \(0.912461\pi\)
\(264\) 3.68275 0.834142i 0.226657 0.0513379i
\(265\) 11.2234 + 6.47982i 0.689447 + 0.398052i
\(266\) −11.6766 6.74152i −0.715941 0.413349i
\(267\) 11.3205 + 3.51248i 0.692804 + 0.214960i
\(268\) −1.04959 + 0.605984i −0.0641142 + 0.0370164i
\(269\) 11.3069 0.689392 0.344696 0.938714i \(-0.387982\pi\)
0.344696 + 0.938714i \(0.387982\pi\)
\(270\) 3.64640 2.87835i 0.221913 0.175171i
\(271\) 28.7051i 1.74371i 0.489766 + 0.871854i \(0.337082\pi\)
−0.489766 + 0.871854i \(0.662918\pi\)
\(272\) −0.210108 0.363917i −0.0127396 0.0220657i
\(273\) −11.5325 5.46152i −0.697977 0.330546i
\(274\) 3.93258 6.81142i 0.237576 0.411493i
\(275\) −0.659790 0.380930i −0.0397868 0.0229709i
\(276\) 7.01455 1.58879i 0.422226 0.0956341i
\(277\) 7.16160 + 12.4043i 0.430299 + 0.745300i 0.996899 0.0786934i \(-0.0250748\pi\)
−0.566600 + 0.823993i \(0.691741\pi\)
\(278\) 3.97121i 0.238177i
\(279\) 10.8740 + 22.7729i 0.651008 + 1.36338i
\(280\) 5.84696i 0.349422i
\(281\) 6.82424 3.93998i 0.407100 0.235039i −0.282443 0.959284i \(-0.591145\pi\)
0.689543 + 0.724245i \(0.257811\pi\)
\(282\) −0.873720 0.944782i −0.0520292 0.0562610i
\(283\) 3.67451 6.36444i 0.218427 0.378326i −0.735900 0.677090i \(-0.763241\pi\)
0.954327 + 0.298763i \(0.0965741\pi\)
\(284\) −16.9315 9.77543i −1.00470 0.580065i
\(285\) −8.67971 9.38566i −0.514142 0.555959i
\(286\) 0.915869 + 2.27868i 0.0541565 + 0.134741i
\(287\) −12.3935 −0.731565
\(288\) 7.21677 + 15.1138i 0.425252 + 0.890587i
\(289\) −9.82921 −0.578189
\(290\) −3.83201 6.63723i −0.225023 0.389752i
\(291\) −0.0348384 0.153812i −0.00204226 0.00901661i
\(292\) −9.35277 5.39983i −0.547330 0.316001i
\(293\) −22.2137 12.8251i −1.29774 0.749251i −0.317727 0.948182i \(-0.602920\pi\)
−0.980013 + 0.198931i \(0.936253\pi\)
\(294\) −4.17802 1.29634i −0.243667 0.0756040i
\(295\) 4.95206 + 8.57721i 0.288320 + 0.499385i
\(296\) −9.28634 −0.539758
\(297\) −1.46460 + 3.67785i −0.0849848 + 0.213410i
\(298\) −8.73896 −0.506234
\(299\) 4.65020 + 11.5697i 0.268928 + 0.669092i
\(300\) 0.616288 1.98626i 0.0355814 0.114677i
\(301\) −19.1913 11.0801i −1.10617 0.638648i
\(302\) −3.67513 + 6.36551i −0.211480 + 0.366294i
\(303\) 3.44550 0.780406i 0.197939 0.0448331i
\(304\) −1.00305 + 0.579110i −0.0575287 + 0.0332142i
\(305\) 2.23917i 0.128214i
\(306\) 7.16034 + 0.560474i 0.409329 + 0.0320402i
\(307\) 25.0940i 1.43219i 0.698003 + 0.716095i \(0.254072\pi\)
−0.698003 + 0.716095i \(0.745928\pi\)
\(308\) 0.934564 + 1.61871i 0.0532517 + 0.0922347i
\(309\) 8.95903 + 9.68770i 0.509661 + 0.551114i
\(310\) −6.51302 3.76030i −0.369915 0.213570i
\(311\) −13.6486 + 23.6400i −0.773940 + 1.34050i 0.161449 + 0.986881i \(0.448383\pi\)
−0.935389 + 0.353622i \(0.884950\pi\)
\(312\) −14.6993 + 10.1626i −0.832183 + 0.575346i
\(313\) −5.40471 9.36124i −0.305492 0.529128i 0.671878 0.740661i \(-0.265488\pi\)
−0.977371 + 0.211533i \(0.932154\pi\)
\(314\) 13.0862i 0.738495i
\(315\) 5.05326 + 3.46985i 0.284719 + 0.195504i
\(316\) 17.0917 0.961481
\(317\) 9.04480 5.22202i 0.508007 0.293298i −0.224007 0.974587i \(-0.571914\pi\)
0.732014 + 0.681290i \(0.238581\pi\)
\(318\) 4.43316 + 19.5725i 0.248599 + 1.09757i
\(319\) 5.65597 + 3.26547i 0.316673 + 0.182831i
\(320\) −4.59432 2.65253i −0.256830 0.148281i
\(321\) −2.80486 + 9.03991i −0.156552 + 0.504558i
\(322\) −3.15881 5.47122i −0.176034 0.304899i
\(323\) 19.7645i 1.09973i
\(324\) −10.6747 1.68142i −0.593038 0.0934122i
\(325\) 3.56955 + 0.508235i 0.198003 + 0.0281918i
\(326\) 2.72776 + 4.72462i 0.151077 + 0.261673i
\(327\) −23.2617 7.21755i −1.28638 0.399132i
\(328\) −8.67829 + 15.0312i −0.479178 + 0.829961i
\(329\) 0.849013 1.47053i 0.0468076 0.0810731i
\(330\) −0.260612 1.15061i −0.0143462 0.0633389i
\(331\) 27.1815 15.6933i 1.49403 0.862580i 0.494056 0.869430i \(-0.335514\pi\)
0.999977 + 0.00684950i \(0.00218028\pi\)
\(332\) 10.4333i 0.572603i
\(333\) 5.51094 8.02576i 0.301998 0.439809i
\(334\) 10.6205 0.581129
\(335\) 0.504693 + 0.874153i 0.0275743 + 0.0477601i
\(336\) 0.407737 0.377069i 0.0222439 0.0205708i
\(337\) 11.6138 20.1156i 0.632642 1.09577i −0.354368 0.935106i \(-0.615304\pi\)
0.987010 0.160662i \(-0.0513628\pi\)
\(338\) −8.04344 8.38958i −0.437505 0.456333i
\(339\) 3.67024 + 3.96876i 0.199340 + 0.215553i
\(340\) 2.78451 1.60764i 0.151011 0.0871863i
\(341\) 6.40873 0.347052
\(342\) 1.54481 19.7357i 0.0835337 1.06718i
\(343\) 20.0753i 1.08396i
\(344\) −26.8767 + 15.5173i −1.44909 + 0.836634i
\(345\) −1.32322 5.84205i −0.0712400 0.314525i
\(346\) 0.695747 + 0.401690i 0.0374036 + 0.0215950i
\(347\) 2.21933 3.84399i 0.119140 0.206356i −0.800287 0.599617i \(-0.795320\pi\)
0.919427 + 0.393261i \(0.128653\pi\)
\(348\) −5.28305 + 17.0269i −0.283201 + 0.912740i
\(349\) 10.4728 6.04646i 0.560595 0.323660i −0.192789 0.981240i \(-0.561753\pi\)
0.753384 + 0.657580i \(0.228420\pi\)
\(350\) −1.82677 −0.0976452
\(351\) −0.0598764 18.7349i −0.00319597 0.999995i
\(352\) 4.25330 0.226702
\(353\) −6.26884 + 3.61931i −0.333657 + 0.192637i −0.657463 0.753487i \(-0.728371\pi\)
0.323807 + 0.946123i \(0.395037\pi\)
\(354\) −4.54486 + 14.6478i −0.241556 + 0.778522i
\(355\) −8.14145 + 14.1014i −0.432103 + 0.748425i
\(356\) 7.11589 + 4.10836i 0.377142 + 0.217743i
\(357\) 2.09352 + 9.24294i 0.110801 + 0.489188i
\(358\) 4.77835 2.75878i 0.252544 0.145806i
\(359\) 2.86049i 0.150971i 0.997147 + 0.0754855i \(0.0240507\pi\)
−0.997147 + 0.0754855i \(0.975949\pi\)
\(360\) 7.74679 3.69906i 0.408291 0.194958i
\(361\) −35.4760 −1.86716
\(362\) 4.69180 2.70881i 0.246595 0.142372i
\(363\) −12.2533 13.2499i −0.643130 0.695439i
\(364\) −6.96073 5.45856i −0.364841 0.286107i
\(365\) −4.49724 + 7.78944i −0.235396 + 0.407718i
\(366\) −2.54568 + 2.35421i −0.133065 + 0.123056i
\(367\) 11.5600 + 20.0225i 0.603426 + 1.04516i 0.992298 + 0.123873i \(0.0395315\pi\)
−0.388872 + 0.921292i \(0.627135\pi\)
\(368\) −0.542696 −0.0282900
\(369\) −7.84071 16.4205i −0.408171 0.854815i
\(370\) 2.90135i 0.150834i
\(371\) −22.9326 + 13.2402i −1.19060 + 0.687395i
\(372\) 3.86452 + 17.0619i 0.200366 + 0.884619i
\(373\) −2.60932 + 4.51947i −0.135105 + 0.234009i −0.925638 0.378411i \(-0.876471\pi\)
0.790532 + 0.612420i \(0.209804\pi\)
\(374\) 0.911977 1.57959i 0.0471572 0.0816786i
\(375\) −1.65425 0.513274i −0.0854252 0.0265054i
\(376\) −1.18901 2.05942i −0.0613184 0.106206i
\(377\) −30.5995 4.35678i −1.57596 0.224386i
\(378\) 1.36804 + 9.39310i 0.0703643 + 0.483129i
\(379\) 37.6167i 1.93224i −0.258091 0.966121i \(-0.583094\pi\)
0.258091 0.966121i \(-0.416906\pi\)
\(380\) −4.43105 7.67481i −0.227308 0.393709i
\(381\) −5.69944 + 18.3689i −0.291991 + 0.941069i
\(382\) −7.75153 4.47535i −0.396603 0.228979i
\(383\) 22.5495 + 13.0190i 1.15223 + 0.665238i 0.949429 0.313983i \(-0.101664\pi\)
0.202797 + 0.979221i \(0.434997\pi\)
\(384\) 2.45742 + 10.8495i 0.125405 + 0.553664i
\(385\) 1.34814 0.778350i 0.0687077 0.0396684i
\(386\) 9.28306 0.472495
\(387\) 2.53900 32.4369i 0.129064 1.64886i
\(388\) 0.109327i 0.00555023i
\(389\) −1.68107 2.91170i −0.0852336 0.147629i 0.820257 0.571995i \(-0.193830\pi\)
−0.905491 + 0.424366i \(0.860497\pi\)
\(390\) 3.17513 + 4.59252i 0.160779 + 0.232551i
\(391\) 4.63044 8.02015i 0.234171 0.405596i
\(392\) −7.00075 4.04188i −0.353591 0.204146i
\(393\) 9.44963 + 10.2182i 0.476671 + 0.515440i
\(394\) −10.7924 18.6931i −0.543715 0.941743i
\(395\) 14.2348i 0.716229i
\(396\) −1.55343 + 2.26230i −0.0780626 + 0.113685i
\(397\) 18.3315i 0.920032i −0.887911 0.460016i \(-0.847844\pi\)
0.887911 0.460016i \(-0.152156\pi\)
\(398\) −18.4635 + 10.6599i −0.925490 + 0.534332i
\(399\) 25.4759 5.77029i 1.27539 0.288876i
\(400\) −0.0784618 + 0.135900i −0.00392309 + 0.00679499i
\(401\) 4.10994 + 2.37287i 0.205240 + 0.118496i 0.599098 0.800676i \(-0.295526\pi\)
−0.393857 + 0.919172i \(0.628860\pi\)
\(402\) −0.463192 + 1.49284i −0.0231019 + 0.0744562i
\(403\) −28.1417 + 11.3110i −1.40184 + 0.563440i
\(404\) 2.44901 0.121843
\(405\) −1.40037 + 8.89039i −0.0695848 + 0.441767i
\(406\) 15.6598 0.777182
\(407\) −1.23620 2.14117i −0.0612763 0.106134i
\(408\) 12.6761 + 3.93308i 0.627560 + 0.194716i
\(409\) 8.37823 + 4.83717i 0.414277 + 0.239183i 0.692626 0.721297i \(-0.256454\pi\)
−0.278349 + 0.960480i \(0.589787\pi\)
\(410\) 4.69623 + 2.71137i 0.231930 + 0.133905i
\(411\) 3.36602 + 14.8610i 0.166034 + 0.733040i
\(412\) 4.57365 + 7.92179i 0.225327 + 0.390278i
\(413\) −20.2370 −0.995796
\(414\) 5.25055 7.64654i 0.258050 0.375807i
\(415\) 8.68937 0.426544
\(416\) −18.6769 + 7.50679i −0.915709 + 0.368051i
\(417\) 5.22360 + 5.64846i 0.255801 + 0.276606i
\(418\) −4.35375 2.51364i −0.212949 0.122946i
\(419\) 12.3676 21.4214i 0.604198 1.04650i −0.387980 0.921668i \(-0.626827\pi\)
0.992178 0.124834i \(-0.0398398\pi\)
\(420\) 2.88514 + 3.11980i 0.140780 + 0.152230i
\(421\) 18.5018 10.6820i 0.901722 0.520610i 0.0239636 0.999713i \(-0.492371\pi\)
0.877759 + 0.479103i \(0.159038\pi\)
\(422\) 14.2307i 0.692739i
\(423\) 2.48547 + 0.194550i 0.120848 + 0.00945935i
\(424\) 37.0846i 1.80099i
\(425\) −1.33892 2.31907i −0.0649470 0.112491i
\(426\) −24.5914 + 5.56996i −1.19146 + 0.269865i
\(427\) −3.96230 2.28764i −0.191749 0.110706i
\(428\) −3.28070 + 5.68234i −0.158579 + 0.274666i
\(429\) −4.29999 2.03638i −0.207606 0.0983174i
\(430\) 4.84808 + 8.39713i 0.233795 + 0.404945i
\(431\) 6.07723i 0.292730i −0.989231 0.146365i \(-0.953243\pi\)
0.989231 0.146365i \(-0.0467574\pi\)
\(432\) 0.757543 + 0.301670i 0.0364473 + 0.0145141i
\(433\) 19.0428 0.915139 0.457570 0.889174i \(-0.348720\pi\)
0.457570 + 0.889174i \(0.348720\pi\)
\(434\) 13.3080 7.68337i 0.638804 0.368814i
\(435\) 14.1809 + 4.39998i 0.679920 + 0.210963i
\(436\) −14.6220 8.44199i −0.700265 0.404298i
\(437\) −22.1056 12.7627i −1.05745 0.610521i
\(438\) −13.5840 + 3.07677i −0.649069 + 0.147014i
\(439\) 1.38512 + 2.39909i 0.0661079 + 0.114502i 0.897185 0.441655i \(-0.145608\pi\)
−0.831077 + 0.556157i \(0.812275\pi\)
\(440\) 2.18009i 0.103932i
\(441\) 7.64778 3.65179i 0.364180 0.173895i
\(442\) −1.21675 + 8.54579i −0.0578751 + 0.406482i
\(443\) 5.14670 + 8.91434i 0.244527 + 0.423533i 0.961999 0.273055i \(-0.0880340\pi\)
−0.717471 + 0.696588i \(0.754701\pi\)
\(444\) 4.95497 4.58228i 0.235152 0.217465i
\(445\) 3.42164 5.92646i 0.162201 0.280941i
\(446\) 3.35983 5.81940i 0.159093 0.275556i
\(447\) 12.4299 11.4950i 0.587913 0.543693i
\(448\) 9.38752 5.41989i 0.443519 0.256066i
\(449\) 23.8978i 1.12781i −0.825840 0.563904i \(-0.809299\pi\)
0.825840 0.563904i \(-0.190701\pi\)
\(450\) −1.15570 2.42034i −0.0544804 0.114096i
\(451\) −4.62103 −0.217596
\(452\) 1.87368 + 3.24532i 0.0881307 + 0.152647i
\(453\) −3.14567 13.8882i −0.147796 0.652522i
\(454\) −7.28394 + 12.6162i −0.341852 + 0.592106i
\(455\) −4.54616 + 5.79723i −0.213127 + 0.271778i
\(456\) 10.8406 34.9385i 0.507656 1.63615i
\(457\) 25.2143 14.5575i 1.17948 0.680970i 0.223582 0.974685i \(-0.428225\pi\)
0.955893 + 0.293715i \(0.0948915\pi\)
\(458\) −14.5993 −0.682178
\(459\) −10.9217 + 8.62129i −0.509784 + 0.402407i
\(460\) 4.15243i 0.193608i
\(461\) −11.5515 + 6.66926i −0.538006 + 0.310618i −0.744271 0.667878i \(-0.767203\pi\)
0.206264 + 0.978496i \(0.433869\pi\)
\(462\) 2.30230 + 0.714348i 0.107113 + 0.0332345i
\(463\) 9.64572 + 5.56896i 0.448275 + 0.258811i 0.707101 0.707112i \(-0.250002\pi\)
−0.258827 + 0.965924i \(0.583336\pi\)
\(464\) 0.672604 1.16498i 0.0312248 0.0540830i
\(465\) 14.2100 3.21856i 0.658973 0.149257i
\(466\) 11.7892 6.80650i 0.546125 0.315305i
\(467\) −27.5091 −1.27297 −0.636484 0.771290i \(-0.719612\pi\)
−0.636484 + 0.771290i \(0.719612\pi\)
\(468\) 2.82851 12.6758i 0.130748 0.585939i
\(469\) −2.06247 −0.0952358
\(470\) −0.643428 + 0.371484i −0.0296791 + 0.0171353i
\(471\) −17.2131 18.6131i −0.793140 0.857648i
\(472\) −14.1705 + 24.5440i −0.652251 + 1.12973i
\(473\) −7.15568 4.13133i −0.329018 0.189959i
\(474\) 16.1833 14.9661i 0.743325 0.687415i
\(475\) −6.39195 + 3.69039i −0.293283 + 0.169327i
\(476\) 6.56973i 0.301123i
\(477\) −32.0505 22.0077i −1.46749 1.00766i
\(478\) −15.4733 −0.707733
\(479\) 28.0875 16.2163i 1.28335 0.740944i 0.305892 0.952066i \(-0.401045\pi\)
0.977460 + 0.211122i \(0.0677119\pi\)
\(480\) 9.43079 2.13607i 0.430455 0.0974979i
\(481\) 9.20736 + 7.22036i 0.419820 + 0.329220i
\(482\) −8.16265 + 14.1381i −0.371798 + 0.643974i
\(483\) 11.6896 + 3.62700i 0.531896 + 0.165034i
\(484\) −6.25538 10.8346i −0.284336 0.492484i
\(485\) −0.0910527 −0.00413449
\(486\) −11.5797 + 7.75507i −0.525265 + 0.351777i
\(487\) 21.3341i 0.966739i −0.875417 0.483369i \(-0.839413\pi\)
0.875417 0.483369i \(-0.160587\pi\)
\(488\) −5.54904 + 3.20374i −0.251193 + 0.145026i
\(489\) −10.0945 3.13207i −0.456487 0.141637i
\(490\) −1.26281 + 2.18726i −0.0570481 + 0.0988101i
\(491\) 7.17709 12.4311i 0.323898 0.561007i −0.657391 0.753550i \(-0.728340\pi\)
0.981289 + 0.192543i \(0.0616733\pi\)
\(492\) −2.78652 12.3025i −0.125626 0.554642i
\(493\) 11.4777 + 19.8799i 0.516929 + 0.895347i
\(494\) 23.5544 + 3.35369i 1.05976 + 0.150889i
\(495\) 1.88416 + 1.29377i 0.0846865 + 0.0581505i
\(496\) 1.32003i 0.0592713i
\(497\) −16.6353 28.8132i −0.746197 1.29245i
\(498\) 9.13579 + 9.87883i 0.409384 + 0.442681i
\(499\) 3.28565 + 1.89697i 0.147086 + 0.0849200i 0.571737 0.820437i \(-0.306270\pi\)
−0.424651 + 0.905357i \(0.639603\pi\)
\(500\) −1.03984 0.600350i −0.0465029 0.0268484i
\(501\) −15.1061 + 13.9699i −0.674892 + 0.624129i
\(502\) 15.0601 8.69498i 0.672167 0.388076i
\(503\) −21.6804 −0.966680 −0.483340 0.875433i \(-0.660577\pi\)
−0.483340 + 0.875433i \(0.660577\pi\)
\(504\) −1.36882 + 17.4874i −0.0609722 + 0.778950i
\(505\) 2.03965i 0.0907632i
\(506\) −1.17779 2.04000i −0.0523593 0.0906889i
\(507\) 22.4760 + 1.35285i 0.998193 + 0.0600823i
\(508\) −6.66633 + 11.5464i −0.295770 + 0.512289i
\(509\) −13.3737 7.72133i −0.592781 0.342242i 0.173416 0.984849i \(-0.444520\pi\)
−0.766196 + 0.642607i \(0.777853\pi\)
\(510\) 1.22882 3.96041i 0.0544130 0.175370i
\(511\) −9.18915 15.9161i −0.406504 0.704086i
\(512\) 1.77416i 0.0784074i
\(513\) 23.7625 + 30.1031i 1.04914 + 1.32909i
\(514\) 7.36566i 0.324885i
\(515\) 6.59765 3.80915i 0.290727 0.167851i
\(516\) 6.68388 21.5417i 0.294241 0.948322i
\(517\) 0.316563 0.548302i 0.0139224 0.0241143i
\(518\) −5.13405 2.96415i −0.225577 0.130237i
\(519\) −1.51797 + 0.343820i −0.0666314 + 0.0150920i
\(520\) 3.84772 + 9.57311i 0.168734 + 0.419809i
\(521\) −3.87730 −0.169867 −0.0849337 0.996387i \(-0.527068\pi\)
−0.0849337 + 0.996387i \(0.527068\pi\)
\(522\) 9.90713 + 20.7481i 0.433623 + 0.908118i
\(523\) −11.6603 −0.509870 −0.254935 0.966958i \(-0.582054\pi\)
−0.254935 + 0.966958i \(0.582054\pi\)
\(524\) 4.82410 + 8.35558i 0.210742 + 0.365015i
\(525\) 2.59832 2.40288i 0.113400 0.104870i
\(526\) −6.17858 3.56720i −0.269399 0.155537i
\(527\) 19.5079 + 11.2629i 0.849778 + 0.490620i
\(528\) 0.152029 0.140594i 0.00661620 0.00611856i
\(529\) 5.51992 + 9.56078i 0.239996 + 0.415686i
\(530\) 11.5864 0.503281
\(531\) −12.8029 26.8125i −0.555597 1.16356i
\(532\) 18.1078 0.785074
\(533\) 20.2916 8.15581i 0.878928 0.353267i
\(534\) 10.3351 2.34091i 0.447246 0.101301i
\(535\) 4.73253 + 2.73232i 0.204605 + 0.118129i
\(536\) −1.44420 + 2.50143i −0.0623799 + 0.108045i
\(537\) −3.16768 + 10.2093i −0.136696 + 0.440562i
\(538\) 8.75443 5.05437i 0.377430 0.217910i
\(539\) 2.15223i 0.0927032i
\(540\) −2.30823 + 5.79633i −0.0993302 + 0.249434i
\(541\) 8.88605i 0.382041i −0.981586 0.191021i \(-0.938820\pi\)
0.981586 0.191021i \(-0.0611797\pi\)
\(542\) 12.8317 + 22.2251i 0.551168 + 0.954651i
\(543\) −3.11030 + 10.0243i −0.133476 + 0.430185i
\(544\) 12.9469 + 7.47488i 0.555093 + 0.320483i
\(545\) −7.03090 + 12.1779i −0.301170 + 0.521643i
\(546\) −11.3705 + 0.926597i −0.486613 + 0.0396547i
\(547\) −0.352181 0.609996i −0.0150582 0.0260815i 0.858398 0.512984i \(-0.171460\pi\)
−0.873456 + 0.486903i \(0.838127\pi\)
\(548\) 10.5630i 0.451228i
\(549\) 0.524209 6.69702i 0.0223727 0.285822i
\(550\) −0.681131 −0.0290435
\(551\) 54.7942 31.6354i 2.33431 1.34771i
\(552\) 12.5844 11.6378i 0.535626 0.495338i
\(553\) 25.1890 + 14.5429i 1.07114 + 0.618426i
\(554\) 11.0899 + 6.40273i 0.471163 + 0.272026i
\(555\) −3.81634 4.12674i −0.161995 0.175170i
\(556\) 2.66668 + 4.61883i 0.113093 + 0.195882i
\(557\) 5.08378i 0.215407i 0.994183 + 0.107703i \(0.0343497\pi\)
−0.994183 + 0.107703i \(0.965650\pi\)
\(558\) 18.5992 + 12.7712i 0.787366 + 0.540650i
\(559\) 38.7131 + 5.51200i 1.63739 + 0.233133i
\(560\) −0.160320 0.277683i −0.00677476 0.0117342i
\(561\) 0.780591 + 3.44632i 0.0329566 + 0.145504i
\(562\) 3.52248 6.10112i 0.148587 0.257360i
\(563\) −9.47635 + 16.4135i −0.399380 + 0.691747i −0.993650 0.112519i \(-0.964108\pi\)
0.594269 + 0.804266i \(0.297441\pi\)
\(564\) 1.65063 + 0.512151i 0.0695041 + 0.0215654i
\(565\) 2.70286 1.56049i 0.113710 0.0656505i
\(566\) 6.57029i 0.276170i
\(567\) −14.3012 11.5608i −0.600595 0.485509i
\(568\) −46.5942 −1.95505
\(569\) 19.6005 + 33.9491i 0.821696 + 1.42322i 0.904418 + 0.426647i \(0.140305\pi\)
−0.0827224 + 0.996573i \(0.526361\pi\)
\(570\) −10.9159 3.38694i −0.457217 0.141863i
\(571\) 6.30361 10.9182i 0.263798 0.456911i −0.703450 0.710745i \(-0.748358\pi\)
0.967248 + 0.253833i \(0.0816915\pi\)
\(572\) −2.59537 2.03528i −0.108518 0.0850993i
\(573\) 16.9121 3.83060i 0.706515 0.160025i
\(574\) −9.59576 + 5.54012i −0.400519 + 0.231240i
\(575\) −3.45835 −0.144223
\(576\) 13.1199 + 9.00889i 0.546664 + 0.375371i
\(577\) 30.2782i 1.26050i 0.776394 + 0.630248i \(0.217047\pi\)
−0.776394 + 0.630248i \(0.782953\pi\)
\(578\) −7.61035 + 4.39384i −0.316549 + 0.182760i
\(579\) −13.2038 + 12.2106i −0.548730 + 0.507457i
\(580\) 8.91386 + 5.14642i 0.370128 + 0.213693i
\(581\) −8.87745 + 15.3762i −0.368299 + 0.637912i
\(582\) −0.0957306 0.103517i −0.00396816 0.00429090i
\(583\) −8.55065 + 4.93672i −0.354132 + 0.204458i
\(584\) −25.7380 −1.06505
\(585\) −10.5570 2.35572i −0.436479 0.0973969i
\(586\) −22.9322 −0.947321
\(587\) −33.1799 + 19.1564i −1.36948 + 0.790670i −0.990862 0.134882i \(-0.956934\pi\)
−0.378619 + 0.925553i \(0.623601\pi\)
\(588\) 5.72987 1.29781i 0.236296 0.0535210i
\(589\) 31.0434 53.7688i 1.27912 2.21550i
\(590\) 7.66834 + 4.42732i 0.315701 + 0.182270i
\(591\) 39.9389 + 12.3921i 1.64287 + 0.509742i
\(592\) −0.441025 + 0.254626i −0.0181260 + 0.0104651i
\(593\) 11.6063i 0.476612i 0.971190 + 0.238306i \(0.0765921\pi\)
−0.971190 + 0.238306i \(0.923408\pi\)
\(594\) 0.510086 + 3.50231i 0.0209291 + 0.143701i
\(595\) 5.47159 0.224313
\(596\) 10.1641 5.86825i 0.416338 0.240373i
\(597\) 12.2399 39.4484i 0.500945 1.61452i
\(598\) 8.77232 + 6.87920i 0.358727 + 0.281312i
\(599\) 22.5946 39.1350i 0.923190 1.59901i 0.128742 0.991678i \(-0.458906\pi\)
0.794447 0.607333i \(-0.207761\pi\)
\(600\) −1.09488 4.83389i −0.0446981 0.197343i
\(601\) −3.58234 6.20479i −0.146127 0.253099i 0.783666 0.621182i \(-0.213347\pi\)
−0.929793 + 0.368084i \(0.880014\pi\)
\(602\) −19.8121 −0.807480
\(603\) −1.30481 2.73261i −0.0531361 0.111281i
\(604\) 9.87147i 0.401664i
\(605\) −9.02361 + 5.20978i −0.366862 + 0.211808i
\(606\) 2.31885 2.14444i 0.0941969 0.0871118i
\(607\) −4.17656 + 7.23401i −0.169521 + 0.293619i −0.938252 0.345954i \(-0.887555\pi\)
0.768730 + 0.639573i \(0.220889\pi\)
\(608\) 20.6027 35.6849i 0.835549 1.44721i
\(609\) −22.2737 + 20.5984i −0.902578 + 0.834689i
\(610\) 1.00095 + 1.73369i 0.0405273 + 0.0701953i
\(611\) −0.422356 + 2.96639i −0.0170867 + 0.120007i
\(612\) −8.70441 + 4.15632i −0.351855 + 0.168009i
\(613\) 28.0392i 1.13249i −0.824236 0.566246i \(-0.808395\pi\)
0.824236 0.566246i \(-0.191605\pi\)
\(614\) 11.2175 + 19.4292i 0.452700 + 0.784100i
\(615\) −10.2462 + 2.32075i −0.413165 + 0.0935818i
\(616\) 3.85776 + 2.22728i 0.155434 + 0.0897397i
\(617\) −13.4342 7.75623i −0.540840 0.312254i 0.204580 0.978850i \(-0.434417\pi\)
−0.745419 + 0.666596i \(0.767751\pi\)
\(618\) 11.2672 + 3.49593i 0.453232 + 0.140627i
\(619\) 3.36363 1.94199i 0.135196 0.0780552i −0.430877 0.902411i \(-0.641796\pi\)
0.566072 + 0.824356i \(0.308462\pi\)
\(620\) 10.1002 0.405635
\(621\) 2.58989 + 17.7825i 0.103929 + 0.713587i
\(622\) 24.4046i 0.978537i
\(623\) 6.99141 + 12.1095i 0.280105 + 0.485156i
\(624\) −0.419442 + 0.885688i −0.0167911 + 0.0354559i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −8.36929 4.83201i −0.334504 0.193126i
\(627\) 9.49893 2.15151i 0.379351 0.0859229i
\(628\) −8.78743 15.2203i −0.350656 0.607355i
\(629\) 8.69016i 0.346500i
\(630\) 5.46361 + 0.427663i 0.217676 + 0.0170385i
\(631\) 27.4010i 1.09082i −0.838171 0.545408i \(-0.816375\pi\)
0.838171 0.545408i \(-0.183625\pi\)
\(632\) 35.2761 20.3667i 1.40321 0.810143i
\(633\) −18.7186 20.2410i −0.743997 0.804509i
\(634\) 4.66868 8.08638i 0.185417 0.321151i
\(635\) 9.61641 + 5.55204i 0.381616 + 0.220326i
\(636\) −18.2991 19.7874i −0.725607 0.784623i
\(637\) 3.79854 + 9.45076i 0.150504 + 0.374453i
\(638\) 5.83890 0.231164
\(639\) 27.6511 40.2692i 1.09386 1.59303i
\(640\) 6.42266 0.253878
\(641\) −7.26201 12.5782i −0.286832 0.496808i 0.686220 0.727394i \(-0.259269\pi\)
−0.973052 + 0.230587i \(0.925935\pi\)
\(642\) 1.86931 + 8.25305i 0.0737759 + 0.325722i
\(643\) −22.1706 12.8002i −0.874325 0.504792i −0.00554163 0.999985i \(-0.501764\pi\)
−0.868783 + 0.495193i \(0.835097\pi\)
\(644\) 7.34790 + 4.24231i 0.289548 + 0.167170i
\(645\) −17.9410 5.56665i −0.706426 0.219187i
\(646\) −8.83509 15.3028i −0.347612 0.602082i
\(647\) −8.13865 −0.319963 −0.159982 0.987120i \(-0.551143\pi\)
−0.159982 + 0.987120i \(0.551143\pi\)
\(648\) −24.0355 + 9.24976i −0.944202 + 0.363365i
\(649\) −7.54555 −0.296189
\(650\) 2.99094 1.20215i 0.117314 0.0471522i
\(651\) −8.82219 + 28.4334i −0.345769 + 1.11439i
\(652\) −6.34521 3.66341i −0.248498 0.143470i
\(653\) −5.31347 + 9.20321i −0.207932 + 0.360149i −0.951063 0.308997i \(-0.900007\pi\)
0.743131 + 0.669146i \(0.233340\pi\)
\(654\) −21.2370 + 4.81017i −0.830431 + 0.188093i
\(655\) 6.95893 4.01774i 0.271908 0.156986i
\(656\) 0.951814i 0.0371621i
\(657\) 15.2741 22.2442i 0.595901 0.867830i
\(658\) 1.51810i 0.0591816i
\(659\) 17.1532 + 29.7102i 0.668193 + 1.15734i 0.978409 + 0.206678i \(0.0662652\pi\)
−0.310216 + 0.950666i \(0.600401\pi\)
\(660\) 1.07575 + 1.16325i 0.0418736 + 0.0452793i
\(661\) 14.2557 + 8.23055i 0.554483 + 0.320131i 0.750928 0.660384i \(-0.229606\pi\)
−0.196445 + 0.980515i \(0.562940\pi\)
\(662\) 14.0304 24.3013i 0.545305 0.944496i
\(663\) −9.51021 13.7556i −0.369346 0.534223i
\(664\) 12.4325 + 21.5337i 0.482474 + 0.835670i
\(665\) 15.0811i 0.584819i
\(666\) 0.679230 8.67750i 0.0263196 0.336246i
\(667\) 29.6462 1.14791
\(668\) −12.3525 + 7.13173i −0.477933 + 0.275935i
\(669\) 2.87579 + 12.6966i 0.111184 + 0.490881i
\(670\) 0.781525 + 0.451213i 0.0301929 + 0.0174319i
\(671\) −1.47738 0.852967i −0.0570337 0.0329284i
\(672\) −5.85505 + 18.8705i −0.225863 + 0.727944i
\(673\) 7.25149 + 12.5599i 0.279524 + 0.484150i 0.971267 0.237994i \(-0.0764899\pi\)
−0.691742 + 0.722144i \(0.743157\pi\)
\(674\) 20.7662i 0.799886i
\(675\) 4.82746 + 1.92240i 0.185809 + 0.0739933i
\(676\) 14.9888 + 4.35655i 0.576492 + 0.167559i
\(677\) 16.9934 + 29.4334i 0.653108 + 1.13122i 0.982365 + 0.186975i \(0.0598685\pi\)
−0.329257 + 0.944240i \(0.606798\pi\)
\(678\) 4.61582 + 1.43218i 0.177270 + 0.0550025i
\(679\) 0.0930235 0.161121i 0.00356992 0.00618327i
\(680\) 3.83136 6.63612i 0.146926 0.254483i
\(681\) −6.23456 27.5257i −0.238909 1.05479i
\(682\) 4.96201 2.86482i 0.190005 0.109700i
\(683\) 24.3402i 0.931352i 0.884955 + 0.465676i \(0.154189\pi\)
−0.884955 + 0.465676i \(0.845811\pi\)
\(684\) 11.4559 + 23.9916i 0.438027 + 0.917340i
\(685\) 8.79735 0.336130
\(686\) −8.97400 15.5434i −0.342629 0.593451i
\(687\) 20.7653 19.2034i 0.792245 0.732655i
\(688\) −0.850948 + 1.47389i −0.0324421 + 0.0561914i
\(689\) 28.8342 36.7692i 1.09849 1.40079i
\(690\) −3.63602 3.93175i −0.138421 0.149679i
\(691\) −32.7729 + 18.9214i −1.24674 + 0.719805i −0.970457 0.241272i \(-0.922435\pi\)
−0.276281 + 0.961077i \(0.589102\pi\)
\(692\) −1.07895 −0.0410154
\(693\) −4.21431 + 2.01232i −0.160088 + 0.0764416i
\(694\) 3.96832i 0.150635i
\(695\) 3.84679 2.22094i 0.145917 0.0842452i
\(696\) 9.38568 + 41.4379i 0.355763 + 1.57070i
\(697\) −14.0662 8.12115i −0.532797 0.307610i
\(698\) 5.40576 9.36305i 0.204611 0.354397i
\(699\) −7.81535 + 25.1884i −0.295604 + 0.952713i
\(700\) 2.12469 1.22669i 0.0803056 0.0463644i
\(701\) 3.61068 0.136374 0.0681868 0.997673i \(-0.478279\pi\)
0.0681868 + 0.997673i \(0.478279\pi\)
\(702\) −8.42120 14.4789i −0.317838 0.546470i
\(703\) −23.9523 −0.903378
\(704\) 3.50023 2.02086i 0.131920 0.0761639i
\(705\) 0.426544 1.37473i 0.0160646 0.0517752i
\(706\) −3.23580 + 5.60457i −0.121781 + 0.210931i
\(707\) 3.60924 + 2.08380i 0.135740 + 0.0783693i
\(708\) −4.55003 20.0885i −0.171001 0.754970i
\(709\) −6.09225 + 3.51736i −0.228799 + 0.132097i −0.610018 0.792388i \(-0.708838\pi\)
0.381219 + 0.924485i \(0.375504\pi\)
\(710\) 14.5575i 0.546333i
\(711\) −3.33248 + 42.5741i −0.124978 + 1.59665i
\(712\) 19.5823 0.733879
\(713\) 25.1939 14.5457i 0.943520 0.544742i
\(714\) 5.75269 + 6.22058i 0.215289 + 0.232799i
\(715\) −1.69508 + 2.16155i −0.0633923 + 0.0808375i
\(716\) −3.70507 + 6.41737i −0.138465 + 0.239828i
\(717\) 22.0085 20.3531i 0.821922 0.760101i
\(718\) 1.27869 + 2.21476i 0.0477204 + 0.0826541i
\(719\) 41.1102 1.53315 0.766575 0.642154i \(-0.221959\pi\)
0.766575 + 0.642154i \(0.221959\pi\)
\(720\) 0.266483 0.388088i 0.00993123 0.0144632i
\(721\) 15.5664i 0.579723i
\(722\) −27.4676 + 15.8584i −1.02224 + 0.590189i
\(723\) −6.98668 30.8463i −0.259837 1.14719i
\(724\) −3.63796 + 6.30113i −0.135204 + 0.234180i
\(725\) 4.28619 7.42389i 0.159185 0.275716i
\(726\) −15.4101 4.78139i −0.571924 0.177454i
\(727\) −8.63490 14.9561i −0.320251 0.554690i 0.660289 0.751012i \(-0.270434\pi\)
−0.980540 + 0.196321i \(0.937100\pi\)
\(728\) −20.8710 2.97163i −0.773531 0.110136i
\(729\) 6.26961 26.2620i 0.232208 0.972666i
\(730\) 8.04138i 0.297625i
\(731\) −14.5211 25.1512i −0.537081 0.930251i
\(732\) 1.37997 4.44757i 0.0510053 0.164387i
\(733\) 19.4811 + 11.2474i 0.719552 + 0.415434i 0.814588 0.580040i \(-0.196963\pi\)
−0.0950358 + 0.995474i \(0.530297\pi\)
\(734\) 17.9008 + 10.3350i 0.660731 + 0.381473i
\(735\) −1.08088 4.77211i −0.0398690 0.176022i
\(736\) 16.7205 9.65361i 0.616327 0.355837i
\(737\) −0.769010 −0.0283269
\(738\) −13.4110 9.20874i −0.493665 0.338978i
\(739\) 33.9029i 1.24714i 0.781769 + 0.623569i \(0.214318\pi\)
−0.781769 + 0.623569i \(0.785682\pi\)
\(740\) −1.94827 3.37450i −0.0716198 0.124049i
\(741\) −37.9139 + 26.2125i −1.39280 + 0.962942i
\(742\) −11.8372 + 20.5026i −0.434557 + 0.752674i
\(743\) −15.2407 8.79921i −0.559126 0.322812i 0.193668 0.981067i \(-0.437961\pi\)
−0.752795 + 0.658255i \(0.771295\pi\)
\(744\) 28.3074 + 30.6097i 1.03780 + 1.12221i
\(745\) −4.88736 8.46516i −0.179059 0.310140i
\(746\) 4.66565i 0.170822i
\(747\) −25.9886 2.03426i −0.950874 0.0744295i
\(748\) 2.44959i 0.0895657i
\(749\) −9.66992 + 5.58293i −0.353331 + 0.203996i
\(750\) −1.51026 + 0.342074i −0.0551469 + 0.0124908i
\(751\) −10.6430 + 18.4342i −0.388368 + 0.672674i −0.992230 0.124415i \(-0.960294\pi\)
0.603862 + 0.797089i \(0.293628\pi\)
\(752\) −0.112936 0.0652038i −0.00411836 0.00237774i
\(753\) −9.98373 + 32.1770i −0.363827 + 1.17259i
\(754\) −25.6395 + 10.3053i −0.933735 + 0.375296i
\(755\) −8.22144 −0.299209
\(756\) −7.89865 10.0063i −0.287271 0.363925i
\(757\) −19.6532 −0.714309 −0.357154 0.934045i \(-0.616253\pi\)
−0.357154 + 0.934045i \(0.616253\pi\)
\(758\) −16.8154 29.1251i −0.610761 1.05787i
\(759\) 4.35858 + 1.35236i 0.158207 + 0.0490876i
\(760\) −18.2908 10.5602i −0.663478 0.383059i
\(761\) −12.5083 7.22167i −0.453426 0.261785i 0.255850 0.966716i \(-0.417645\pi\)
−0.709276 + 0.704931i \(0.750978\pi\)
\(762\) 3.79841 + 16.7701i 0.137602 + 0.607515i
\(763\) −14.3662 24.8829i −0.520090 0.900822i
\(764\) 12.0209 0.434900
\(765\) 3.46159 + 7.24945i 0.125154 + 0.262104i
\(766\) 23.2788 0.841099
\(767\) 33.1336 13.3174i 1.19639 0.480863i
\(768\) 19.2300 + 20.7940i 0.693902 + 0.750340i
\(769\) 0.210384 + 0.121465i 0.00758665 + 0.00438016i 0.503789 0.863827i \(-0.331939\pi\)
−0.496202 + 0.868207i \(0.665272\pi\)
\(770\) 0.695873 1.20529i 0.0250775 0.0434356i
\(771\) 9.68856 + 10.4766i 0.348925 + 0.377304i
\(772\) −10.7969 + 6.23362i −0.388590 + 0.224353i
\(773\) 1.99165i 0.0716348i 0.999358 + 0.0358174i \(0.0114035\pi\)
−0.999358 + 0.0358174i \(0.988597\pi\)
\(774\) −12.5341 26.2495i −0.450527 0.943520i