Properties

Label 585.2.bt.b.376.20
Level $585$
Weight $2$
Character 585.376
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 376.20
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.20

$q$-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} +(1.34463 + 3.34544i) 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} +(4.84404 - 3.94149i) 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} +(2.67146 - 3.40663i) 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} +(-2.83720 - 2.22492i) 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} +(-5.51245 + 0.886356i) 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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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 \(-0.435703\pi\)
−0.748106 + 0.663579i \(0.769037\pi\)
\(3\) −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 \(-0.207140\pi\)
−0.126807 + 0.991927i \(0.540473\pi\)
\(8\) 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 \(-0.296693\pi\)
−0.397224 + 0.917722i \(0.630026\pi\)
\(12\) −1.41201 + 1.52685i −0.407611 + 0.440764i
\(13\) 1.34463 + 3.34544i 0.372934 + 0.927858i
\(14\) −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 0.627495 0.778620i \(-0.284080\pi\)
−0.988053 + 0.154116i \(0.950747\pi\)
\(24\) 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 0.126326 + 0.991989i \(0.459682\pi\)
−0.922250 + 0.386593i \(0.873652\pi\)
\(30\) −0.458886 1.47896i −0.0837807 0.270020i
\(31\) 7.28497 4.20598i 1.30842 0.755416i 0.326586 0.945167i \(-0.394102\pi\)
0.981832 + 0.189751i \(0.0607682\pi\)
\(32\) 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
\(39\) 4.84404 3.94149i 0.775666 0.631143i
\(40\) −1.43077 2.47817i −0.226225 0.391833i
\(41\) −5.25284 + 3.03273i −0.820356 + 0.473633i −0.850539 0.525911i \(-0.823724\pi\)
0.0301829 + 0.999544i \(0.490391\pi\)
\(42\) −2.14826 + 2.32299i −0.331484 + 0.358445i
\(43\) 5.42269 9.39238i 0.826953 1.43232i −0.0734653 0.997298i \(-0.523406\pi\)
0.900418 0.435026i \(-0.143261\pi\)
\(44\) 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 \(-0.314029\pi\)
−0.446592 + 0.894738i \(0.647362\pi\)
\(48\) −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
\(52\) 2.67146 3.40663i 0.370465 0.472414i
\(53\) 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 \(-0.889686\pi\)
−0.176112 + 0.984370i \(0.556352\pi\)
\(60\) 0.459408 2.02829i 0.0593094 0.261852i
\(61\) 1.11958 1.93918i 0.143348 0.248286i −0.785407 0.618979i \(-0.787546\pi\)
0.928755 + 0.370693i \(0.120880\pi\)
\(62\) −7.52059 −0.955116
\(63\) −6.11117 + 0.478351i −0.769936 + 0.0602666i
\(64\) −5.30506 −0.663133
\(65\) −2.83720 2.22492i −0.351912 0.275967i
\(66\) −0.801001 + 0.866149i −0.0985964 + 0.106616i
\(67\) −0.874153 + 0.504693i −0.106795 + 0.0616580i −0.552446 0.833549i \(-0.686305\pi\)
0.445651 + 0.895207i \(0.352972\pi\)
\(68\) 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
\(78\) −5.51245 + 0.886356i −0.624162 + 0.100360i
\(79\) −7.11738 + 12.3277i −0.800768 + 1.38697i 0.118343 + 0.992973i \(0.462242\pi\)
−0.919111 + 0.393998i \(0.871092\pi\)
\(80\) 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 \(-0.491570\pi\)
−0.852481 + 0.522758i \(0.824903\pi\)
\(84\) −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 \(-0.331862\pi\)
−0.495991 + 0.868327i \(0.665195\pi\)
\(98\) 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 −0.912293 0.409538i \(-0.865690\pi\)
0.810817 + 0.585300i \(0.199023\pi\)
\(102\) 0.916017 4.04423i 0.0906992 0.400438i
\(103\) 3.80915 + 6.59765i 0.375327 + 0.650085i 0.990376 0.138404i \(-0.0441971\pi\)
−0.615049 + 0.788489i \(0.710864\pi\)
\(104\) −9.57311 + 3.84772i −0.938721 + 0.377300i
\(105\) 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 0.930043 0.367451i \(-0.119770\pi\)
−0.783244 + 0.621715i \(0.786436\pi\)
\(114\) −11.1469 2.52477i −1.04400 0.236467i
\(115\) 2.99502 + 1.72917i 0.279287 + 0.161246i
\(116\) 10.2928 0.955666
\(117\) −9.00653 5.99019i −0.832654 0.553793i
\(118\) 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
\(130\) 1.20215 + 2.99094i 0.105435 + 0.262323i
\(131\) 4.01774 + 6.95893i 0.351032 + 0.608005i 0.986431 0.164179i \(-0.0524976\pi\)
−0.635399 + 0.772184i \(0.719164\pi\)
\(132\) −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 \(-0.455967\pi\)
−0.788806 + 0.614643i \(0.789300\pi\)
\(138\) 5.11476 1.58699i 0.435397 0.135093i
\(139\) 2.22094 + 3.84679i 0.188378 + 0.326280i 0.944710 0.327908i \(-0.106344\pi\)
−0.756332 + 0.654188i \(0.773010\pi\)
\(140\) 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 \(-0.535542\pi\)
0.804919 + 0.593384i \(0.202209\pi\)
\(150\) 1.13689 + 1.05138i 0.0928265 + 0.0858444i
\(151\) 7.11997 + 4.11072i 0.579415 + 0.334525i 0.760901 0.648868i \(-0.224757\pi\)
−0.181486 + 0.983394i \(0.558091\pi\)
\(152\) −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
\(156\) −7.00661 2.67073i −0.560978 0.213830i
\(157\) −7.31859 12.6762i −0.584087 1.01167i −0.994989 0.0999889i \(-0.968119\pi\)
0.410901 0.911680i \(-0.365214\pi\)
\(158\) 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 \(-0.818682\pi\)
0.0460109 + 0.998941i \(0.485349\pi\)
\(168\) 9.87704 + 2.23715i 0.762030 + 0.172600i
\(169\) −9.38393 + 8.99677i −0.721841 + 0.692059i
\(170\) −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 −0.848440 0.529291i \(-0.822458\pi\)
0.882600 + 0.470125i \(0.155791\pi\)
\(174\) −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 \(0.427694\pi\)
\(182\) 4.06443 5.18293i 0.301275 0.384185i
\(183\) −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 −0.988324 0.152370i \(-0.951309\pi\)
0.626118 + 0.779728i \(0.284643\pi\)
\(192\) 2.72295 + 8.77591i 0.196512 + 0.633347i
\(193\) −8.99221 + 5.19166i −0.647274 + 0.373704i −0.787411 0.616428i \(-0.788579\pi\)
0.140137 + 0.990132i \(0.455246\pi\)
\(194\) −0.0407022 0.0704983i −0.00292225 0.00506148i
\(195\) −2.22431 + 5.83545i −0.159286 + 0.417885i
\(196\) −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 −0.998418 0.0562206i \(-0.982095\pi\)
0.450521 0.892766i \(-0.351238\pi\)
\(212\) −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
\(221\) −3.60070 8.95853i −0.242209 0.602616i
\(222\) −4.90113 1.11011i −0.328943 0.0745055i
\(223\) −6.50913 3.75805i −0.435883 0.251657i 0.265966 0.963982i \(-0.414309\pi\)
−0.701850 + 0.712325i \(0.747642\pi\)
\(224\) 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 \(-0.151473\pi\)
0.0477142 + 0.998861i \(0.484806\pi\)
\(228\) −11.2694 10.4217i −0.746331 0.690195i
\(229\) 14.1418 8.16480i 0.934519 0.539545i 0.0462813 0.998928i \(-0.485263\pi\)
0.888238 + 0.459383i \(0.151930\pi\)
\(230\) −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 \(0.333789\pi\)
\(234\) 4.29566 + 8.66404i 0.280816 + 0.566386i
\(235\) −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 \(-0.477561\pi\)
0.899092 + 0.437760i \(0.144228\pi\)
\(240\) 0.259591 0.0805448i 0.0167565 0.00519915i
\(241\) 15.8138 + 9.13011i 1.01866 + 0.588122i 0.913715 0.406357i \(-0.133201\pi\)
0.104942 + 0.994478i \(0.466534\pi\)
\(242\) 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
\(247\) −24.6920 + 9.92444i −1.57111 + 0.631477i
\(248\) 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 0.965425 0.260680i \(-0.0839469\pi\)
−0.708468 + 0.705743i \(0.750614\pi\)
\(258\) 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 −0.962422 0.271559i \(-0.912461\pi\)
0.716388 + 0.697702i \(0.245794\pi\)
\(264\) 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
\(273\) 12.5985 2.02574i 0.762497 0.122603i
\(274\) 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 −0.566600 0.823993i \(-0.691741\pi\)
0.996899 + 0.0786934i \(0.0250748\pi\)
\(278\) 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 \(-0.408855\pi\)
−0.689543 + 0.724245i \(0.742189\pi\)
\(282\) −0.873720 + 0.944782i −0.0520292 + 0.0562610i
\(283\) 3.67451 + 6.36444i 0.218427 + 0.378326i 0.954327 0.298763i \(-0.0965741\pi\)
−0.735900 + 0.677090i \(0.763241\pi\)
\(284\) 16.9315 9.77543i 1.00470 0.580065i
\(285\) −8.67971 + 9.38566i −0.514142 + 0.555959i
\(286\) 1.51546 1.93251i 0.0896111 0.114272i
\(287\) −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 \(-0.397080\pi\)
0.980013 + 0.198931i \(0.0637471\pi\)
\(294\) 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
\(299\) 7.69454 9.81204i 0.444987 0.567445i
\(300\) 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 −0.935389 0.353622i \(-0.884950\pi\)
0.161449 0.986881i \(-0.448383\pi\)
\(312\) 11.2787 + 13.8614i 0.638532 + 0.784748i
\(313\) −5.40471 + 9.36124i −0.305492 + 0.529128i −0.977371 0.211533i \(-0.932154\pi\)
0.671878 + 0.740661i \(0.265488\pi\)
\(314\) 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 \(-0.428086\pi\)
−0.732014 + 0.681290i \(0.761419\pi\)
\(318\) −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 \(-0.664486\pi\)
−0.999977 + 0.00684950i \(0.997820\pi\)
\(332\) 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 0.987010 + 0.160662i \(0.0513628\pi\)
−0.354368 + 0.935106i \(0.615304\pi\)
\(338\) 11.2873 2.77103i 0.613948 0.150724i
\(339\) 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 0.919427 0.393261i \(-0.128653\pi\)
−0.800287 + 0.599617i \(0.795320\pi\)
\(348\) −5.28305 17.0269i −0.283201 0.912740i
\(349\) −10.4728 6.04646i −0.560595 0.323660i 0.192789 0.981240i \(-0.438247\pi\)
−0.753384 + 0.657580i \(0.771580\pi\)
\(350\) −1.82677 −0.0976452
\(351\) −5.28647 + 17.9737i −0.282171 + 0.959364i
\(352\) 4.25330 0.226702
\(353\) 6.26884 + 3.61931i 0.333657 + 0.192637i 0.657463 0.753487i \(-0.271629\pi\)
−0.323807 + 0.946123i \(0.604963\pi\)
\(354\) −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
\(364\) 8.20762 3.29889i 0.430196 0.172909i
\(365\) −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 −0.388872 0.921292i \(-0.627135\pi\)
0.992298 0.123873i \(-0.0395315\pi\)
\(368\) −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 0.790532 0.612420i \(-0.209804\pi\)
−0.925638 + 0.378411i \(0.876471\pi\)
\(374\) 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 \(-0.898336\pi\)
−0.202797 + 0.979221i \(0.565003\pi\)
\(384\) −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 −0.905491 0.424366i \(-0.860497\pi\)
0.820257 + 0.571995i \(0.193830\pi\)
\(390\) 4.33074 3.52383i 0.219296 0.178436i
\(391\) 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 \(-0.704474\pi\)
0.393857 + 0.919172i \(0.371140\pi\)
\(402\) −0.463192 1.49284i −0.0231019 0.0744562i
\(403\) 23.8664 + 18.7159i 1.18887 + 0.932307i
\(404\) 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 \(-0.743546\pi\)
0.278349 + 0.960480i \(0.410213\pi\)
\(410\) −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
\(416\) 15.8395 + 12.4213i 0.776596 + 0.609002i
\(417\) 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 0.992178 + 0.124834i \(0.0398398\pi\)
−0.387980 + 0.921668i \(0.626827\pi\)
\(420\) 2.88514 3.11980i 0.140780 0.152230i
\(421\) −18.5018 10.6820i −0.901722 0.520610i −0.0239636 0.999713i \(-0.507629\pi\)
−0.877759 + 0.479103i \(0.840962\pi\)
\(422\) 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
\(429\) 4.69748 0.755316i 0.226796 0.0364670i
\(430\) 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 −0.831077 0.556157i \(-0.812275\pi\)
0.897185 + 0.441655i \(0.145608\pi\)
\(440\) 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 −0.717471 0.696588i \(-0.754701\pi\)
0.961999 + 0.273055i \(0.0880340\pi\)
\(444\) −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
\(455\) −2.74747 6.83570i −0.128803 0.320463i
\(456\) 10.8406 + 34.9385i 0.507656 + 1.63615i
\(457\) −25.2143 14.5575i −1.17948 0.680970i −0.223582 0.974685i \(-0.571775\pi\)
−0.955893 + 0.293715i \(0.905108\pi\)
\(458\) −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 \(-0.232797\pi\)
−0.206264 + 0.978496i \(0.566131\pi\)
\(462\) −2.30230 + 0.714348i −0.107113 + 0.0332345i
\(463\) −9.64572 + 5.56896i −0.448275 + 0.258811i −0.707101 0.707112i \(-0.749998\pi\)
0.258827 + 0.965924i \(0.416664\pi\)
\(464\) 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 \(0.719612\pi\)
\(468\) −0.821750 + 12.9615i −0.0379854 + 0.599147i
\(469\) −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 \(-0.598955\pi\)
−0.977460 + 0.211122i \(0.932288\pi\)
\(480\) 9.43079 + 2.13607i 0.430455 + 0.0974979i
\(481\) −10.8567 + 4.36363i −0.495023 + 0.198964i
\(482\) −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 0.981289 0.192543i \(-0.0616733\pi\)
−0.657391 + 0.753550i \(0.728340\pi\)
\(492\) 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 \(-0.693730\pi\)
0.424651 + 0.905357i \(0.360397\pi\)
\(500\) 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
\(507\) 19.6994 + 10.9056i 0.874883 + 0.484334i
\(508\) −6.66633 11.5464i −0.295770 0.512289i
\(509\) 13.3737 7.72133i 0.592781 0.342242i −0.173416 0.984849i \(-0.555480\pi\)
0.766196 + 0.642607i \(0.222147\pi\)
\(510\) 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
\(520\) 6.36670 8.11878i 0.279198 0.356032i
\(521\) −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
\(533\) −17.2090 13.4952i −0.745403 0.584541i
\(534\) 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
\(546\) −10.6600 4.06332i −0.456208 0.173894i
\(547\) −0.352181 + 0.609996i −0.0150582 + 0.0260815i −0.873456 0.486903i \(-0.838127\pi\)
0.858398 + 0.512984i \(0.171460\pi\)
\(548\) 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 0.594269 0.804266i \(-0.297441\pi\)
−0.993650 + 0.112519i \(0.964108\pi\)
\(564\) −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 −0.0827224 0.996573i \(-0.526361\pi\)
0.904418 0.426647i \(-0.140305\pi\)
\(570\) 10.9159 3.38694i 0.457217 0.141863i
\(571\) 6.30361 + 10.9182i 0.263798 + 0.456911i 0.967248 0.253833i \(-0.0816915\pi\)
−0.703450 + 0.710745i \(0.748358\pi\)
\(572\) 3.06029 1.23002i 0.127957 0.0514298i
\(573\) 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
\(585\) 10.7950 + 0.684393i 0.446318 + 0.0282962i
\(586\) −22.9322 −0.947321
\(587\) 33.1799 + 19.1564i 1.36948 + 0.790670i 0.990862 0.134882i \(-0.0430657\pi\)
0.378619 + 0.925553i \(0.376399\pi\)
\(588\) 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
\(598\) −10.3437 + 4.15745i −0.422986 + 0.170011i
\(599\) 22.5946 + 39.1350i 0.923190 + 1.59901i 0.794447 + 0.607333i \(0.207761\pi\)
0.128742 + 0.991678i \(0.458906\pi\)
\(600\) 1.09488 4.83389i 0.0446981 0.197343i
\(601\) −3.58234 + 6.20479i −0.146127 + 0.253099i −0.929793 0.368084i \(-0.880014\pi\)
0.783666 + 0.621182i \(0.213347\pi\)
\(602\) −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 0.768730 0.639573i \(-0.220889\pi\)
−0.938252 + 0.345954i \(0.887555\pi\)
\(608\) 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 \(-0.565583\pi\)
0.745419 + 0.666596i \(0.232249\pi\)
\(618\) −11.2672 + 3.49593i −0.453232 + 0.140627i
\(619\) −3.36363 1.94199i −0.135196 0.0780552i 0.430877 0.902411i \(-0.358204\pi\)
−0.566072 + 0.824356i \(0.691538\pi\)
\(620\) 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
\(624\) −0.155576 0.967560i −0.00622801 0.0387334i
\(625\) −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
\(637\) 6.28533 8.01502i 0.249034 0.317567i
\(638\) 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 −0.973052 0.230587i \(-0.925935\pi\)
0.686220 + 0.727394i \(0.259269\pi\)
\(642\) −1.86931 + 8.25305i −0.0737759 + 0.325722i
\(643\) 22.1706 12.8002i 0.874325 0.504792i 0.00554163 0.999985i \(-0.498236\pi\)
0.868783 + 0.495193i \(0.164903\pi\)
\(644\) −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
\(650\) −2.53656 1.98916i −0.0994922 0.0780212i
\(651\) −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 0.743131 0.669146i \(-0.233340\pi\)
−0.951063 + 0.308997i \(0.900007\pi\)
\(654\) −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 −0.310216 0.950666i \(-0.600401\pi\)
0.978409 0.206678i \(-0.0662652\pi\)
\(660\) 1.07575 1.16325i 0.0418736 0.0452793i
\(661\) −14.2557 + 8.23055i −0.554483 + 0.320131i −0.750928 0.660384i \(-0.770394\pi\)
0.196445 + 0.980515i \(0.437060\pi\)
\(662\) 14.0304 + 24.3013i 0.545305 + 0.944496i
\(663\) −12.9715 + 10.5546i −0.503772 + 0.409908i
\(664\) 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 −0.691742 0.722144i \(-0.743157\pi\)
0.971267 + 0.237994i \(0.0764899\pi\)
\(674\) 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 −0.329257 0.944240i \(-0.606798\pi\)
0.982365 0.186975i \(-0.0598685\pi\)
\(678\) −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
\(689\) 17.4259 + 43.3557i 0.663876 + 1.65172i
\(690\) −3.63602 + 3.93175i −0.138421 + 0.149679i
\(691\) 32.7729 + 18.9214i 1.24674 + 0.719805i 0.970457 0.241272i \(-0.0775647\pi\)
0.276281 + 0.961077i \(0.410898\pi\)
\(692\) −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 \(0.478279\pi\)
\(702\) 12.1277 11.5531i 0.457729 0.436045i
\(703\) −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 \(-0.291162\pi\)
−0.381219 + 0.924485i \(0.624496\pi\)
\(710\) 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
\(715\) −1.02442 2.54876i −0.0383112 0.0953181i
\(716\) −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 −0.980540 0.196321i \(-0.937100\pi\)
0.660289 + 0.751012i \(0.270434\pi\)
\(728\) −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 \(-0.803037\pi\)
0.0950358 + 0.995474i \(0.469703\pi\)
\(734\) −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
\(741\) 29.0913 + 35.7528i 1.06869 + 1.31341i
\(742\) −11.8372 20.5026i −0.434557 0.752674i
\(743\) 15.2407 8.79921i 0.559126 0.322812i −0.193668 0.981067i \(-0.562039\pi\)
0.752795 + 0.658255i \(0.228705\pi\)
\(744\) 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 0.603862 0.797089i \(-0.293628\pi\)
−0.992230 + 0.124415i \(0.960294\pi\)
\(752\) 0.112936 0.0652038i 0.00411836 0.00237774i
\(753\) −9.98373 32.1770i −0.363827 1.17259i
\(754\) 21.7444 + 17.0518i 0.791883 + 0.620990i
\(755\) −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 \(-0.582355\pi\)
0.709276 + 0.704931i \(0.249022\pi\)
\(762\) −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
\(767\) −28.1000 22.0359i −1.01463 0.795669i
\(768\) 19.2300 20.7940i 0.693902 0.750340i
\(769\) −0.210384 + 0.121465i −0.00758665 + 0.00438016i −0.503789 0.863827i \(-0.668061\pi\)
0.496202 + 0.868207i \(0.334728\pi\)
\(770\) 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