Properties

Label 462.2.p.a.439.7
Level $462$
Weight $2$
Character 462.439
Analytic conductor $3.689$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.p (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 8 x^{15} + 74 x^{14} - 378 x^{13} + 1878 x^{12} - 6718 x^{11} + 22086 x^{10} - 56904 x^{9} + 130215 x^{8} - 239606 x^{7} + 378750 x^{6} - 477124 x^{5} + 493030 x^{4} - 386266 x^{3} + 223844 x^{2} - 82874 x + 13417\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 439.7
Root \(0.500000 + 0.921602i\) of defining polynomial
Character \(\chi\) \(=\) 462.439
Dual form 462.2.p.a.241.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.54813 + 0.893814i) q^{5} -1.00000 q^{6} +(0.165362 - 2.64058i) q^{7} +1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.54813 + 0.893814i) q^{5} -1.00000 q^{6} +(0.165362 - 2.64058i) q^{7} +1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(0.893814 + 1.54813i) q^{10} +(0.692408 + 3.24354i) q^{11} +(-0.866025 - 0.500000i) q^{12} +6.37742 q^{13} +(1.46350 - 2.20413i) q^{14} -1.78763 q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.0530476 + 0.0918811i) q^{17} +(0.866025 - 0.500000i) q^{18} +(-2.07581 + 3.59541i) q^{19} +1.78763i q^{20} +(1.17708 + 2.36949i) q^{21} +(-1.02213 + 3.15519i) q^{22} +(-3.97933 + 6.89240i) q^{23} +(-0.500000 - 0.866025i) q^{24} +(-0.902194 - 1.56265i) q^{25} +(5.52301 + 3.18871i) q^{26} +1.00000i q^{27} +(2.36949 - 1.17708i) q^{28} -7.65230i q^{29} +(-1.54813 - 0.893814i) q^{30} +(1.10740 - 0.639360i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-2.22141 - 2.46279i) q^{33} +0.106095i q^{34} +(2.61619 - 3.94016i) q^{35} +1.00000 q^{36} +(-2.26092 + 3.91603i) q^{37} +(-3.59541 + 2.07581i) q^{38} +(-5.52301 + 3.18871i) q^{39} +(-0.893814 + 1.54813i) q^{40} +0.0321383 q^{41} +(-0.165362 + 2.64058i) q^{42} -6.87723i q^{43} +(-2.46279 + 2.22141i) q^{44} +(1.54813 - 0.893814i) q^{45} +(-6.89240 + 3.97933i) q^{46} +(8.55805 + 4.94099i) q^{47} -1.00000i q^{48} +(-6.94531 - 0.873304i) q^{49} -1.80439i q^{50} +(-0.0918811 - 0.0530476i) q^{51} +(3.18871 + 5.52301i) q^{52} +(0.313720 + 0.543380i) q^{53} +(-0.500000 + 0.866025i) q^{54} +(-1.82718 + 5.64031i) q^{55} +(2.64058 + 0.165362i) q^{56} -4.15162i q^{57} +(3.82615 - 6.62708i) q^{58} +(10.7863 - 6.22747i) q^{59} +(-0.893814 - 1.54813i) q^{60} +(4.97512 - 8.61716i) q^{61} +1.27872 q^{62} +(-2.20413 - 1.46350i) q^{63} -1.00000 q^{64} +(9.87308 + 5.70022i) q^{65} +(-0.692408 - 3.24354i) q^{66} +(-5.43609 - 9.41558i) q^{67} +(-0.0530476 + 0.0918811i) q^{68} -7.95866i q^{69} +(4.23576 - 2.10418i) q^{70} -8.42785 q^{71} +(0.866025 + 0.500000i) q^{72} +(0.0625042 + 0.108260i) q^{73} +(-3.91603 + 2.26092i) q^{74} +(1.56265 + 0.902194i) q^{75} -4.15162 q^{76} +(8.67933 - 1.29200i) q^{77} -6.37742 q^{78} +(-8.80673 - 5.08457i) q^{79} +(-1.54813 + 0.893814i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(0.0278326 + 0.0160691i) q^{82} -12.0657 q^{83} +(-1.46350 + 2.20413i) q^{84} +0.189659i q^{85} +(3.43862 - 5.95586i) q^{86} +(3.82615 + 6.62708i) q^{87} +(-3.24354 + 0.692408i) q^{88} +(-4.64198 - 2.68005i) q^{89} +1.78763 q^{90} +(1.05458 - 16.8401i) q^{91} -7.95866 q^{92} +(-0.639360 + 1.10740i) q^{93} +(4.94099 + 8.55805i) q^{94} +(-6.42726 + 3.71078i) q^{95} +(0.500000 - 0.866025i) q^{96} -15.7498i q^{97} +(-5.57816 - 4.22896i) q^{98} +(3.15519 + 1.02213i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 12q^{5} - 16q^{6} - 6q^{7} + 8q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 12q^{5} - 16q^{6} - 6q^{7} + 8q^{9} + 2q^{10} - 4q^{11} + 8q^{14} - 4q^{15} - 8q^{16} - 10q^{19} - 4q^{21} + 2q^{22} - 4q^{23} - 8q^{24} + 10q^{25} + 12q^{26} - 12q^{30} + 6q^{31} + 2q^{33} - 8q^{35} + 16q^{36} + 14q^{37} - 12q^{38} - 12q^{39} - 2q^{40} + 32q^{41} + 6q^{42} + 4q^{44} + 12q^{45} + 18q^{46} - 24q^{47} - 6q^{49} + 6q^{51} - 8q^{54} - 14q^{55} + 4q^{56} - 2q^{60} + 28q^{61} - 8q^{62} - 6q^{63} - 16q^{64} + 72q^{65} + 4q^{66} - 16q^{67} - 30q^{70} - 56q^{71} - 44q^{73} + 24q^{74} - 12q^{75} - 20q^{76} + 32q^{77} - 30q^{79} - 12q^{80} - 8q^{81} - 12q^{82} + 8q^{83} - 8q^{84} - 12q^{86} + 4q^{88} - 36q^{89} + 4q^{90} - 8q^{91} - 8q^{92} + 4q^{93} + 14q^{94} + 72q^{95} + 8q^{96} - 40q^{98} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) −0.866025 + 0.500000i −0.500000 + 0.288675i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.54813 + 0.893814i 0.692345 + 0.399726i 0.804490 0.593966i \(-0.202439\pi\)
−0.112145 + 0.993692i \(0.535772\pi\)
\(6\) −1.00000 −0.408248
\(7\) 0.165362 2.64058i 0.0625011 0.998045i
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 0.893814 + 1.54813i 0.282649 + 0.489562i
\(11\) 0.692408 + 3.24354i 0.208769 + 0.977965i
\(12\) −0.866025 0.500000i −0.250000 0.144338i
\(13\) 6.37742 1.76878 0.884389 0.466751i \(-0.154576\pi\)
0.884389 + 0.466751i \(0.154576\pi\)
\(14\) 1.46350 2.20413i 0.391136 0.589078i
\(15\) −1.78763 −0.461563
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.0530476 + 0.0918811i 0.0128659 + 0.0222844i 0.872387 0.488816i \(-0.162571\pi\)
−0.859521 + 0.511101i \(0.829238\pi\)
\(18\) 0.866025 0.500000i 0.204124 0.117851i
\(19\) −2.07581 + 3.59541i −0.476224 + 0.824844i −0.999629 0.0272400i \(-0.991328\pi\)
0.523405 + 0.852084i \(0.324661\pi\)
\(20\) 1.78763i 0.399726i
\(21\) 1.17708 + 2.36949i 0.256860 + 0.517065i
\(22\) −1.02213 + 3.15519i −0.217919 + 0.672690i
\(23\) −3.97933 + 6.89240i −0.829748 + 1.43717i 0.0684879 + 0.997652i \(0.478183\pi\)
−0.898236 + 0.439514i \(0.855151\pi\)
\(24\) −0.500000 0.866025i −0.102062 0.176777i
\(25\) −0.902194 1.56265i −0.180439 0.312529i
\(26\) 5.52301 + 3.18871i 1.08315 + 0.625357i
\(27\) 1.00000i 0.192450i
\(28\) 2.36949 1.17708i 0.447791 0.222447i
\(29\) 7.65230i 1.42100i −0.703699 0.710498i \(-0.748470\pi\)
0.703699 0.710498i \(-0.251530\pi\)
\(30\) −1.54813 0.893814i −0.282649 0.163187i
\(31\) 1.10740 0.639360i 0.198896 0.114833i −0.397245 0.917713i \(-0.630034\pi\)
0.596140 + 0.802880i \(0.296700\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −2.22141 2.46279i −0.386699 0.428716i
\(34\) 0.106095i 0.0181952i
\(35\) 2.61619 3.94016i 0.442216 0.666008i
\(36\) 1.00000 0.166667
\(37\) −2.26092 + 3.91603i −0.371693 + 0.643792i −0.989826 0.142282i \(-0.954556\pi\)
0.618133 + 0.786074i \(0.287889\pi\)
\(38\) −3.59541 + 2.07581i −0.583253 + 0.336741i
\(39\) −5.52301 + 3.18871i −0.884389 + 0.510602i
\(40\) −0.893814 + 1.54813i −0.141324 + 0.244781i
\(41\) 0.0321383 0.00501915 0.00250958 0.999997i \(-0.499201\pi\)
0.00250958 + 0.999997i \(0.499201\pi\)
\(42\) −0.165362 + 2.64058i −0.0255160 + 0.407450i
\(43\) 6.87723i 1.04877i −0.851482 0.524384i \(-0.824296\pi\)
0.851482 0.524384i \(-0.175704\pi\)
\(44\) −2.46279 + 2.22141i −0.371279 + 0.334891i
\(45\) 1.54813 0.893814i 0.230782 0.133242i
\(46\) −6.89240 + 3.97933i −1.01623 + 0.586720i
\(47\) 8.55805 + 4.94099i 1.24832 + 0.720718i 0.970774 0.239995i \(-0.0771458\pi\)
0.277545 + 0.960713i \(0.410479\pi\)
\(48\) 1.00000i 0.144338i
\(49\) −6.94531 0.873304i −0.992187 0.124758i
\(50\) 1.80439i 0.255179i
\(51\) −0.0918811 0.0530476i −0.0128659 0.00742815i
\(52\) 3.18871 + 5.52301i 0.442194 + 0.765903i
\(53\) 0.313720 + 0.543380i 0.0430928 + 0.0746389i 0.886767 0.462216i \(-0.152946\pi\)
−0.843675 + 0.536855i \(0.819612\pi\)
\(54\) −0.500000 + 0.866025i −0.0680414 + 0.117851i
\(55\) −1.82718 + 5.64031i −0.246378 + 0.760539i
\(56\) 2.64058 + 0.165362i 0.352862 + 0.0220975i
\(57\) 4.15162i 0.549896i
\(58\) 3.82615 6.62708i 0.502398 0.870179i
\(59\) 10.7863 6.22747i 1.40426 0.810748i 0.409431 0.912341i \(-0.365727\pi\)
0.994826 + 0.101593i \(0.0323940\pi\)
\(60\) −0.893814 1.54813i −0.115391 0.199863i
\(61\) 4.97512 8.61716i 0.636999 1.10331i −0.349089 0.937089i \(-0.613509\pi\)
0.986088 0.166224i \(-0.0531576\pi\)
\(62\) 1.27872 0.162398
\(63\) −2.20413 1.46350i −0.277694 0.184383i
\(64\) −1.00000 −0.125000
\(65\) 9.87308 + 5.70022i 1.22460 + 0.707026i
\(66\) −0.692408 3.24354i −0.0852295 0.399253i
\(67\) −5.43609 9.41558i −0.664124 1.15030i −0.979522 0.201337i \(-0.935471\pi\)
0.315398 0.948959i \(-0.397862\pi\)
\(68\) −0.0530476 + 0.0918811i −0.00643296 + 0.0111422i
\(69\) 7.95866i 0.958110i
\(70\) 4.23576 2.10418i 0.506271 0.251498i
\(71\) −8.42785 −1.00020 −0.500101 0.865967i \(-0.666704\pi\)
−0.500101 + 0.865967i \(0.666704\pi\)
\(72\) 0.866025 + 0.500000i 0.102062 + 0.0589256i
\(73\) 0.0625042 + 0.108260i 0.00731556 + 0.0126709i 0.869660 0.493651i \(-0.164338\pi\)
−0.862344 + 0.506322i \(0.831005\pi\)
\(74\) −3.91603 + 2.26092i −0.455229 + 0.262827i
\(75\) 1.56265 + 0.902194i 0.180439 + 0.104176i
\(76\) −4.15162 −0.476224
\(77\) 8.67933 1.29200i 0.989101 0.147237i
\(78\) −6.37742 −0.722100
\(79\) −8.80673 5.08457i −0.990835 0.572059i −0.0853112 0.996354i \(-0.527188\pi\)
−0.905524 + 0.424295i \(0.860522\pi\)
\(80\) −1.54813 + 0.893814i −0.173086 + 0.0999314i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 0.0278326 + 0.0160691i 0.00307359 + 0.00177454i
\(83\) −12.0657 −1.32438 −0.662191 0.749335i \(-0.730373\pi\)
−0.662191 + 0.749335i \(0.730373\pi\)
\(84\) −1.46350 + 2.20413i −0.159681 + 0.240490i
\(85\) 0.189659i 0.0205714i
\(86\) 3.43862 5.95586i 0.370795 0.642237i
\(87\) 3.82615 + 6.62708i 0.410206 + 0.710498i
\(88\) −3.24354 + 0.692408i −0.345763 + 0.0738109i
\(89\) −4.64198 2.68005i −0.492049 0.284084i 0.233375 0.972387i \(-0.425023\pi\)
−0.725424 + 0.688302i \(0.758356\pi\)
\(90\) 1.78763 0.188432
\(91\) 1.05458 16.8401i 0.110550 1.76532i
\(92\) −7.95866 −0.829748
\(93\) −0.639360 + 1.10740i −0.0662986 + 0.114833i
\(94\) 4.94099 + 8.55805i 0.509624 + 0.882695i
\(95\) −6.42726 + 3.71078i −0.659423 + 0.380718i
\(96\) 0.500000 0.866025i 0.0510310 0.0883883i
\(97\) 15.7498i 1.59915i −0.600569 0.799573i \(-0.705059\pi\)
0.600569 0.799573i \(-0.294941\pi\)
\(98\) −5.57816 4.22896i −0.563480 0.427189i
\(99\) 3.15519 + 1.02213i 0.317109 + 0.102728i
\(100\) 0.902194 1.56265i 0.0902194 0.156265i
\(101\) 3.78650 + 6.55841i 0.376771 + 0.652586i 0.990590 0.136860i \(-0.0437012\pi\)
−0.613820 + 0.789446i \(0.710368\pi\)
\(102\) −0.0530476 0.0918811i −0.00525249 0.00909758i
\(103\) −4.53550 2.61857i −0.446896 0.258016i 0.259622 0.965710i \(-0.416402\pi\)
−0.706519 + 0.707695i \(0.749735\pi\)
\(104\) 6.37742i 0.625357i
\(105\) −0.295606 + 4.72037i −0.0288482 + 0.460661i
\(106\) 0.627441i 0.0609424i
\(107\) −4.12912 2.38395i −0.399177 0.230465i 0.286952 0.957945i \(-0.407358\pi\)
−0.686129 + 0.727480i \(0.740691\pi\)
\(108\) −0.866025 + 0.500000i −0.0833333 + 0.0481125i
\(109\) −7.36585 + 4.25268i −0.705521 + 0.407332i −0.809400 0.587257i \(-0.800208\pi\)
0.103880 + 0.994590i \(0.466874\pi\)
\(110\) −4.40254 + 3.97106i −0.419766 + 0.378626i
\(111\) 4.52184i 0.429194i
\(112\) 2.20413 + 1.46350i 0.208270 + 0.138287i
\(113\) 10.3003 0.968969 0.484484 0.874800i \(-0.339007\pi\)
0.484484 + 0.874800i \(0.339007\pi\)
\(114\) 2.07581 3.59541i 0.194418 0.336741i
\(115\) −12.3210 + 7.11356i −1.14894 + 0.663343i
\(116\) 6.62708 3.82615i 0.615309 0.355249i
\(117\) 3.18871 5.52301i 0.294796 0.510602i
\(118\) 12.4549 1.14657
\(119\) 0.251391 0.124883i 0.0230450 0.0114480i
\(120\) 1.78763i 0.163187i
\(121\) −10.0411 + 4.49171i −0.912831 + 0.408337i
\(122\) 8.61716 4.97512i 0.780161 0.450426i
\(123\) −0.0278326 + 0.0160691i −0.00250958 + 0.00144891i
\(124\) 1.10740 + 0.639360i 0.0994479 + 0.0574163i
\(125\) 12.1637i 1.08796i
\(126\) −1.17708 2.36949i −0.104863 0.211091i
\(127\) 3.18422i 0.282553i 0.989970 + 0.141277i \(0.0451207\pi\)
−0.989970 + 0.141277i \(0.954879\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 3.43862 + 5.95586i 0.302753 + 0.524384i
\(130\) 5.70022 + 9.87308i 0.499943 + 0.865926i
\(131\) 0.543099 0.940675i 0.0474508 0.0821872i −0.841324 0.540530i \(-0.818224\pi\)
0.888775 + 0.458343i \(0.151557\pi\)
\(132\) 1.02213 3.15519i 0.0889649 0.274624i
\(133\) 9.15071 + 6.07589i 0.793467 + 0.526846i
\(134\) 10.8722i 0.939213i
\(135\) −0.893814 + 1.54813i −0.0769272 + 0.133242i
\(136\) −0.0918811 + 0.0530476i −0.00787874 + 0.00454879i
\(137\) 3.79098 + 6.56617i 0.323885 + 0.560986i 0.981286 0.192555i \(-0.0616774\pi\)
−0.657401 + 0.753541i \(0.728344\pi\)
\(138\) 3.97933 6.89240i 0.338743 0.586720i
\(139\) −1.34643 −0.114203 −0.0571013 0.998368i \(-0.518186\pi\)
−0.0571013 + 0.998368i \(0.518186\pi\)
\(140\) 4.72037 + 0.295606i 0.398944 + 0.0249833i
\(141\) −9.88198 −0.832213
\(142\) −7.29873 4.21392i −0.612496 0.353625i
\(143\) 4.41578 + 20.6854i 0.369266 + 1.72980i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) 6.83973 11.8468i 0.568008 0.983819i
\(146\) 0.125008i 0.0103458i
\(147\) 6.45147 2.71635i 0.532108 0.224041i
\(148\) −4.52184 −0.371693
\(149\) 0.424489 + 0.245079i 0.0347755 + 0.0200776i 0.517287 0.855812i \(-0.326942\pi\)
−0.482511 + 0.875890i \(0.660275\pi\)
\(150\) 0.902194 + 1.56265i 0.0736639 + 0.127590i
\(151\) −2.92130 + 1.68661i −0.237732 + 0.137255i −0.614134 0.789202i \(-0.710495\pi\)
0.376402 + 0.926456i \(0.377161\pi\)
\(152\) −3.59541 2.07581i −0.291626 0.168371i
\(153\) 0.106095 0.00857728
\(154\) 8.16252 + 3.22076i 0.657754 + 0.259536i
\(155\) 2.28588 0.183606
\(156\) −5.52301 3.18871i −0.442194 0.255301i
\(157\) 3.51865 2.03150i 0.280819 0.162131i −0.352975 0.935633i \(-0.614830\pi\)
0.633794 + 0.773502i \(0.281497\pi\)
\(158\) −5.08457 8.80673i −0.404507 0.700626i
\(159\) −0.543380 0.313720i −0.0430928 0.0248796i
\(160\) −1.78763 −0.141324
\(161\) 17.5419 + 11.6475i 1.38250 + 0.917950i
\(162\) 1.00000i 0.0785674i
\(163\) −10.3707 + 17.9626i −0.812297 + 1.40694i 0.0989554 + 0.995092i \(0.468450\pi\)
−0.911253 + 0.411848i \(0.864883\pi\)
\(164\) 0.0160691 + 0.0278326i 0.00125479 + 0.00217336i
\(165\) −1.23777 5.79825i −0.0963601 0.451393i
\(166\) −10.4492 6.03285i −0.811015 0.468240i
\(167\) −3.42870 −0.265321 −0.132660 0.991162i \(-0.542352\pi\)
−0.132660 + 0.991162i \(0.542352\pi\)
\(168\) −2.36949 + 1.17708i −0.182810 + 0.0908138i
\(169\) 27.6715 2.12857
\(170\) −0.0948293 + 0.164249i −0.00727307 + 0.0125973i
\(171\) 2.07581 + 3.59541i 0.158741 + 0.274948i
\(172\) 5.95586 3.43862i 0.454130 0.262192i
\(173\) −10.5762 + 18.3185i −0.804094 + 1.39273i 0.112807 + 0.993617i \(0.464016\pi\)
−0.916901 + 0.399115i \(0.869317\pi\)
\(174\) 7.65230i 0.580119i
\(175\) −4.27548 + 2.12391i −0.323196 + 0.160553i
\(176\) −3.15519 1.02213i −0.237832 0.0770458i
\(177\) −6.22747 + 10.7863i −0.468086 + 0.810748i
\(178\) −2.68005 4.64198i −0.200878 0.347931i
\(179\) 7.04330 + 12.1994i 0.526441 + 0.911822i 0.999525 + 0.0308052i \(0.00980716\pi\)
−0.473085 + 0.881017i \(0.656860\pi\)
\(180\) 1.54813 + 0.893814i 0.115391 + 0.0666209i
\(181\) 12.4579i 0.925992i 0.886360 + 0.462996i \(0.153225\pi\)
−0.886360 + 0.462996i \(0.846775\pi\)
\(182\) 9.33333 14.0566i 0.691833 1.04195i
\(183\) 9.95024i 0.735543i
\(184\) −6.89240 3.97933i −0.508115 0.293360i
\(185\) −7.00040 + 4.04169i −0.514680 + 0.297151i
\(186\) −1.10740 + 0.639360i −0.0811988 + 0.0468802i
\(187\) −0.261290 + 0.235681i −0.0191074 + 0.0172347i
\(188\) 9.88198i 0.720718i
\(189\) 2.64058 + 0.165362i 0.192074 + 0.0120283i
\(190\) −7.42156 −0.538416
\(191\) 13.6147 23.5813i 0.985122 1.70628i 0.343731 0.939068i \(-0.388309\pi\)
0.641391 0.767214i \(-0.278358\pi\)
\(192\) 0.866025 0.500000i 0.0625000 0.0360844i
\(193\) −23.0692 + 13.3190i −1.66056 + 0.958724i −0.688111 + 0.725605i \(0.741560\pi\)
−0.972448 + 0.233119i \(0.925107\pi\)
\(194\) 7.87488 13.6397i 0.565384 0.979273i
\(195\) −11.4004 −0.816403
\(196\) −2.71635 6.45147i −0.194025 0.460819i
\(197\) 11.7764i 0.839031i −0.907748 0.419515i \(-0.862200\pi\)
0.907748 0.419515i \(-0.137800\pi\)
\(198\) 2.22141 + 2.46279i 0.157869 + 0.175023i
\(199\) 18.5336 10.7004i 1.31381 0.758531i 0.331089 0.943600i \(-0.392584\pi\)
0.982726 + 0.185069i \(0.0592508\pi\)
\(200\) 1.56265 0.902194i 0.110496 0.0637948i
\(201\) 9.41558 + 5.43609i 0.664124 + 0.383432i
\(202\) 7.57300i 0.532834i
\(203\) −20.2065 1.26540i −1.41822 0.0888137i
\(204\) 0.106095i 0.00742815i
\(205\) 0.0497542 + 0.0287256i 0.00347499 + 0.00200628i
\(206\) −2.61857 4.53550i −0.182445 0.316004i
\(207\) 3.97933 + 6.89240i 0.276583 + 0.479055i
\(208\) −3.18871 + 5.52301i −0.221097 + 0.382952i
\(209\) −13.0992 4.24349i −0.906089 0.293529i
\(210\) −2.61619 + 3.94016i −0.180534 + 0.271897i
\(211\) 25.2654i 1.73934i −0.493630 0.869672i \(-0.664330\pi\)
0.493630 0.869672i \(-0.335670\pi\)
\(212\) −0.313720 + 0.543380i −0.0215464 + 0.0373195i
\(213\) 7.29873 4.21392i 0.500101 0.288733i
\(214\) −2.38395 4.12912i −0.162963 0.282261i
\(215\) 6.14696 10.6469i 0.419219 0.726109i
\(216\) −1.00000 −0.0680414
\(217\) −1.50516 3.02992i −0.102177 0.205684i
\(218\) −8.50535 −0.576055
\(219\) −0.108260 0.0625042i −0.00731556 0.00422364i
\(220\) −5.79825 + 1.23777i −0.390918 + 0.0834503i
\(221\) 0.338307 + 0.585964i 0.0227570 + 0.0394162i
\(222\) 2.26092 3.91603i 0.151743 0.262827i
\(223\) 9.80133i 0.656346i 0.944618 + 0.328173i \(0.106433\pi\)
−0.944618 + 0.328173i \(0.893567\pi\)
\(224\) 1.17708 + 2.36949i 0.0786471 + 0.158318i
\(225\) −1.80439 −0.120293
\(226\) 8.92030 + 5.15014i 0.593370 + 0.342582i
\(227\) −11.6454 20.1704i −0.772931 1.33875i −0.935950 0.352132i \(-0.885457\pi\)
0.163020 0.986623i \(-0.447877\pi\)
\(228\) 3.59541 2.07581i 0.238112 0.137474i
\(229\) −5.65569 3.26531i −0.373739 0.215778i 0.301352 0.953513i \(-0.402562\pi\)
−0.675090 + 0.737735i \(0.735895\pi\)
\(230\) −14.2271 −0.938109
\(231\) −6.87052 + 5.45857i −0.452047 + 0.359147i
\(232\) 7.65230 0.502398
\(233\) 9.41166 + 5.43383i 0.616579 + 0.355982i 0.775536 0.631304i \(-0.217480\pi\)
−0.158957 + 0.987285i \(0.550813\pi\)
\(234\) 5.52301 3.18871i 0.361050 0.208452i
\(235\) 8.83265 + 15.2986i 0.576179 + 0.997971i
\(236\) 10.7863 + 6.22747i 0.702128 + 0.405374i
\(237\) 10.1691 0.660557
\(238\) 0.280153 + 0.0175441i 0.0181596 + 0.00113722i
\(239\) 7.69148i 0.497521i 0.968565 + 0.248760i \(0.0800231\pi\)
−0.968565 + 0.248760i \(0.919977\pi\)
\(240\) 0.893814 1.54813i 0.0576954 0.0999314i
\(241\) 11.4067 + 19.7571i 0.734773 + 1.27266i 0.954823 + 0.297176i \(0.0960447\pi\)
−0.220050 + 0.975489i \(0.570622\pi\)
\(242\) −10.9417 1.13064i −0.703362 0.0726801i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) 9.95024 0.636999
\(245\) −9.97168 7.55980i −0.637067 0.482978i
\(246\) −0.0321383 −0.00204906
\(247\) −13.2383 + 22.9294i −0.842334 + 1.45897i
\(248\) 0.639360 + 1.10740i 0.0405994 + 0.0703203i
\(249\) 10.4492 6.03285i 0.662191 0.382316i
\(250\) 6.08186 10.5341i 0.384650 0.666234i
\(251\) 18.1111i 1.14317i 0.820544 + 0.571583i \(0.193670\pi\)
−0.820544 + 0.571583i \(0.806330\pi\)
\(252\) 0.165362 2.64058i 0.0104168 0.166341i
\(253\) −25.1111 8.13478i −1.57872 0.511429i
\(254\) −1.59211 + 2.75761i −0.0998977 + 0.173028i
\(255\) −0.0948293 0.164249i −0.00593844 0.0102857i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −3.41428 1.97123i −0.212977 0.122962i 0.389717 0.920935i \(-0.372573\pi\)
−0.602694 + 0.797972i \(0.705906\pi\)
\(258\) 6.87723i 0.428158i
\(259\) 9.96672 + 6.61771i 0.619302 + 0.411204i
\(260\) 11.4004i 0.707026i
\(261\) −6.62708 3.82615i −0.410206 0.236833i
\(262\) 0.940675 0.543099i 0.0581151 0.0335528i
\(263\) −1.79020 + 1.03357i −0.110389 + 0.0637329i −0.554178 0.832398i \(-0.686967\pi\)
0.443789 + 0.896131i \(0.353634\pi\)
\(264\) 2.46279 2.22141i 0.151574 0.136719i
\(265\) 1.12163i 0.0689012i
\(266\) 4.88680 + 9.83723i 0.299629 + 0.603159i
\(267\) 5.36009 0.328032
\(268\) 5.43609 9.41558i 0.332062 0.575148i
\(269\) 2.42902 1.40240i 0.148100 0.0855057i −0.424119 0.905607i \(-0.639416\pi\)
0.572219 + 0.820101i \(0.306083\pi\)
\(270\) −1.54813 + 0.893814i −0.0942162 + 0.0543958i
\(271\) 4.64046 8.03751i 0.281888 0.488244i −0.689962 0.723846i \(-0.742373\pi\)
0.971850 + 0.235602i \(0.0757061\pi\)
\(272\) −0.106095 −0.00643296
\(273\) 7.50674 + 15.1112i 0.454329 + 0.914573i
\(274\) 7.58196i 0.458043i
\(275\) 4.44383 4.00830i 0.267973 0.241709i
\(276\) 6.89240 3.97933i 0.414874 0.239528i
\(277\) 4.53015 2.61548i 0.272190 0.157149i −0.357692 0.933839i \(-0.616436\pi\)
0.629883 + 0.776690i \(0.283103\pi\)
\(278\) −1.16604 0.673214i −0.0699345 0.0403767i
\(279\) 1.27872i 0.0765550i
\(280\) 3.94016 + 2.61619i 0.235469 + 0.156347i
\(281\) 6.87281i 0.409998i −0.978762 0.204999i \(-0.934281\pi\)
0.978762 0.204999i \(-0.0657190\pi\)
\(282\) −8.55805 4.94099i −0.509624 0.294232i
\(283\) 6.00542 + 10.4017i 0.356985 + 0.618316i 0.987456 0.157897i \(-0.0504714\pi\)
−0.630471 + 0.776213i \(0.717138\pi\)
\(284\) −4.21392 7.29873i −0.250050 0.433100i
\(285\) 3.71078 6.42726i 0.219808 0.380718i
\(286\) −6.51854 + 20.1220i −0.385449 + 1.18984i
\(287\) 0.00531446 0.0848636i 0.000313703 0.00500934i
\(288\) 1.00000i 0.0589256i
\(289\) 8.49437 14.7127i 0.499669 0.865452i
\(290\) 11.8468 6.83973i 0.695665 0.401643i
\(291\) 7.87488 + 13.6397i 0.461634 + 0.799573i
\(292\) −0.0625042 + 0.108260i −0.00365778 + 0.00633546i
\(293\) −14.1147 −0.824592 −0.412296 0.911050i \(-0.635273\pi\)
−0.412296 + 0.911050i \(0.635273\pi\)
\(294\) 6.94531 + 0.873304i 0.405059 + 0.0509321i
\(295\) 22.2648 1.29631
\(296\) −3.91603 2.26092i −0.227615 0.131413i
\(297\) −3.24354 + 0.692408i −0.188209 + 0.0401776i
\(298\) 0.245079 + 0.424489i 0.0141970 + 0.0245900i
\(299\) −25.3779 + 43.9557i −1.46764 + 2.54203i
\(300\) 1.80439i 0.104176i
\(301\) −18.1599 1.13723i −1.04672 0.0655491i
\(302\) −3.37323 −0.194107
\(303\) −6.55841 3.78650i −0.376771 0.217529i
\(304\) −2.07581 3.59541i −0.119056 0.206211i
\(305\) 15.4043 8.89366i 0.882046 0.509249i
\(306\) 0.0918811 + 0.0530476i 0.00525249 + 0.00303253i
\(307\) 21.0753 1.20283 0.601417 0.798936i \(-0.294603\pi\)
0.601417 + 0.798936i \(0.294603\pi\)
\(308\) 5.45857 + 6.87052i 0.311031 + 0.391484i
\(309\) 5.23715 0.297931
\(310\) 1.97963 + 1.14294i 0.112435 + 0.0649145i
\(311\) −12.0806 + 6.97475i −0.685029 + 0.395502i −0.801747 0.597663i \(-0.796096\pi\)
0.116718 + 0.993165i \(0.462763\pi\)
\(312\) −3.18871 5.52301i −0.180525 0.312679i
\(313\) 3.45030 + 1.99203i 0.195023 + 0.112596i 0.594332 0.804220i \(-0.297417\pi\)
−0.399309 + 0.916816i \(0.630750\pi\)
\(314\) 4.06299 0.229288
\(315\) −2.10418 4.23576i −0.118557 0.238658i
\(316\) 10.1691i 0.572059i
\(317\) −6.14927 + 10.6509i −0.345377 + 0.598211i −0.985422 0.170126i \(-0.945582\pi\)
0.640045 + 0.768338i \(0.278916\pi\)
\(318\) −0.313720 0.543380i −0.0175926 0.0304712i
\(319\) 24.8205 5.29851i 1.38968 0.296660i
\(320\) −1.54813 0.893814i −0.0865431 0.0499657i
\(321\) 4.76790 0.266118
\(322\) 9.36799 + 18.8580i 0.522058 + 1.05091i
\(323\) −0.440467 −0.0245082
\(324\) 0.500000 0.866025i 0.0277778 0.0481125i
\(325\) −5.75367 9.96565i −0.319156 0.552795i
\(326\) −17.9626 + 10.3707i −0.994857 + 0.574381i
\(327\) 4.25268 7.36585i 0.235174 0.407332i
\(328\) 0.0321383i 0.00177454i
\(329\) 14.4623 21.7811i 0.797330 1.20083i
\(330\) 1.82718 5.64031i 0.100583 0.310489i
\(331\) 15.5066 26.8582i 0.852319 1.47626i −0.0267909 0.999641i \(-0.508529\pi\)
0.879110 0.476619i \(-0.158138\pi\)
\(332\) −6.03285 10.4492i −0.331096 0.573474i
\(333\) 2.26092 + 3.91603i 0.123898 + 0.214597i
\(334\) −2.96934 1.71435i −0.162475 0.0938051i
\(335\) 19.4354i 1.06187i
\(336\) −2.64058 0.165362i −0.144055 0.00902125i
\(337\) 13.6161i 0.741718i 0.928689 + 0.370859i \(0.120937\pi\)
−0.928689 + 0.370859i \(0.879063\pi\)
\(338\) 23.9642 + 13.8357i 1.30348 + 0.752565i
\(339\) −8.92030 + 5.15014i −0.484484 + 0.279717i
\(340\) −0.164249 + 0.0948293i −0.00890766 + 0.00514284i
\(341\) 2.84057 + 3.14922i 0.153825 + 0.170540i
\(342\) 4.15162i 0.224494i
\(343\) −3.45452 + 18.1952i −0.186527 + 0.982450i
\(344\) 6.87723 0.370795
\(345\) 7.11356 12.3210i 0.382981 0.663343i
\(346\) −18.3185 + 10.5762i −0.984810 + 0.568580i
\(347\) −24.1708 + 13.9550i −1.29756 + 0.749144i −0.979981 0.199090i \(-0.936201\pi\)
−0.317574 + 0.948234i \(0.602868\pi\)
\(348\) −3.82615 + 6.62708i −0.205103 + 0.355249i
\(349\) −27.8147 −1.48888 −0.744442 0.667687i \(-0.767285\pi\)
−0.744442 + 0.667687i \(0.767285\pi\)
\(350\) −4.76463 0.298378i −0.254680 0.0159490i
\(351\) 6.37742i 0.340401i
\(352\) −2.22141 2.46279i −0.118402 0.131267i
\(353\) −18.6325 + 10.7575i −0.991706 + 0.572562i −0.905784 0.423740i \(-0.860717\pi\)
−0.0859222 + 0.996302i \(0.527384\pi\)
\(354\) −10.7863 + 6.22747i −0.573285 + 0.330987i
\(355\) −13.0474 7.53293i −0.692485 0.399806i
\(356\) 5.36009i 0.284084i
\(357\) −0.155270 + 0.233847i −0.00821776 + 0.0123765i
\(358\) 14.0866i 0.744500i
\(359\) 18.0949 + 10.4471i 0.955015 + 0.551378i 0.894635 0.446798i \(-0.147436\pi\)
0.0603796 + 0.998175i \(0.480769\pi\)
\(360\) 0.893814 + 1.54813i 0.0471081 + 0.0815936i
\(361\) 0.882009 + 1.52769i 0.0464215 + 0.0804045i
\(362\) −6.22897 + 10.7889i −0.327387 + 0.567052i
\(363\) 6.45003 8.91051i 0.338539 0.467680i
\(364\) 15.1112 7.50674i 0.792043 0.393460i
\(365\) 0.223468i 0.0116969i
\(366\) −4.97512 + 8.61716i −0.260054 + 0.450426i
\(367\) 4.62731 2.67158i 0.241543 0.139455i −0.374342 0.927291i \(-0.622132\pi\)
0.615886 + 0.787835i \(0.288798\pi\)
\(368\) −3.97933 6.89240i −0.207437 0.359291i
\(369\) 0.0160691 0.0278326i 0.000836526 0.00144891i
\(370\) −8.08337 −0.420234
\(371\) 1.48671 0.738549i 0.0771864 0.0383435i
\(372\) −1.27872 −0.0662986
\(373\) 21.9741 + 12.6868i 1.13778 + 0.656895i 0.945879 0.324520i \(-0.105203\pi\)
0.191897 + 0.981415i \(0.438536\pi\)
\(374\) −0.344124 + 0.0734611i −0.0177942 + 0.00379858i
\(375\) 6.08186 + 10.5341i 0.314066 + 0.543978i
\(376\) −4.94099 + 8.55805i −0.254812 + 0.441348i
\(377\) 48.8019i 2.51343i
\(378\) 2.20413 + 1.46350i 0.113368 + 0.0752742i
\(379\) 22.7532 1.16875 0.584377 0.811483i \(-0.301339\pi\)
0.584377 + 0.811483i \(0.301339\pi\)
\(380\) −6.42726 3.71078i −0.329711 0.190359i
\(381\) −1.59211 2.75761i −0.0815662 0.141277i
\(382\) 23.5813 13.6147i 1.20652 0.696587i
\(383\) −14.3310 8.27402i −0.732281 0.422783i 0.0869750 0.996210i \(-0.472280\pi\)
−0.819256 + 0.573428i \(0.805613\pi\)
\(384\) 1.00000 0.0510310
\(385\) 14.5915 + 5.75752i 0.743654 + 0.293430i
\(386\) −26.6381 −1.35584
\(387\) −5.95586 3.43862i −0.302753 0.174795i
\(388\) 13.6397 7.87488i 0.692451 0.399787i
\(389\) −3.69906 6.40696i −0.187550 0.324846i 0.756883 0.653550i \(-0.226721\pi\)
−0.944433 + 0.328705i \(0.893388\pi\)
\(390\) −9.87308 5.70022i −0.499943 0.288642i
\(391\) −0.844376 −0.0427019
\(392\) 0.873304 6.94531i 0.0441085 0.350791i
\(393\) 1.08620i 0.0547915i
\(394\) 5.88818 10.1986i 0.296642 0.513799i
\(395\) −9.08932 15.7432i −0.457333 0.792124i
\(396\) 0.692408 + 3.24354i 0.0347948 + 0.162994i
\(397\) 3.34925 + 1.93369i 0.168094 + 0.0970492i 0.581687 0.813413i \(-0.302393\pi\)
−0.413593 + 0.910462i \(0.635726\pi\)
\(398\) 21.4008 1.07272
\(399\) −10.9627 0.686522i −0.548821 0.0343691i
\(400\) 1.80439 0.0902194
\(401\) −1.56681 + 2.71379i −0.0782426 + 0.135520i −0.902492 0.430707i \(-0.858264\pi\)
0.824249 + 0.566227i \(0.191598\pi\)
\(402\) 5.43609 + 9.41558i 0.271127 + 0.469606i
\(403\) 7.06238 4.07747i 0.351802 0.203113i
\(404\) −3.78650 + 6.55841i −0.188385 + 0.326293i
\(405\) 1.78763i 0.0888279i
\(406\) −16.8666 11.1991i −0.837077 0.555803i
\(407\) −14.2673 4.62191i −0.707204 0.229099i
\(408\) 0.0530476 0.0918811i 0.00262625 0.00454879i
\(409\) 10.0511 + 17.4091i 0.496996 + 0.860822i 0.999994 0.00346526i \(-0.00110303\pi\)
−0.502998 + 0.864288i \(0.667770\pi\)
\(410\) 0.0287256 + 0.0497542i 0.00141866 + 0.00245719i
\(411\) −6.56617 3.79098i −0.323885 0.186995i
\(412\) 5.23715i 0.258016i
\(413\) −14.6605 29.5119i −0.721395 1.45218i
\(414\) 7.95866i 0.391147i
\(415\) −18.6793 10.7845i −0.916929 0.529389i
\(416\) −5.52301 + 3.18871i −0.270788 + 0.156339i
\(417\) 1.16604 0.673214i 0.0571013 0.0329674i
\(418\) −9.22248 10.2246i −0.451086 0.500100i
\(419\) 2.63035i 0.128501i 0.997934 + 0.0642506i \(0.0204657\pi\)
−0.997934 + 0.0642506i \(0.979534\pi\)
\(420\) −4.23576 + 2.10418i −0.206684 + 0.102674i
\(421\) 24.9232 1.21468 0.607341 0.794441i \(-0.292236\pi\)
0.607341 + 0.794441i \(0.292236\pi\)
\(422\) 12.6327 21.8805i 0.614951 1.06513i
\(423\) 8.55805 4.94099i 0.416107 0.240239i
\(424\) −0.543380 + 0.313720i −0.0263888 + 0.0152356i
\(425\) 0.0957185 0.165789i 0.00464303 0.00804196i
\(426\) 8.42785 0.408331
\(427\) −21.9316 14.5621i −1.06134 0.704712i
\(428\) 4.76790i 0.230465i
\(429\) −14.1669 15.7062i −0.683984 0.758303i
\(430\) 10.6469 6.14696i 0.513437 0.296433i
\(431\) −11.8175 + 6.82282i −0.569227 + 0.328644i −0.756841 0.653599i \(-0.773258\pi\)
0.187613 + 0.982243i \(0.439925\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 10.4001i 0.499795i 0.968272 + 0.249897i \(0.0803969\pi\)
−0.968272 + 0.249897i \(0.919603\pi\)
\(434\) 0.211452 3.37656i 0.0101500 0.162080i
\(435\) 13.6795i 0.655879i
\(436\) −7.36585 4.25268i −0.352760 0.203666i
\(437\) −16.5207 28.6147i −0.790292 1.36883i
\(438\) −0.0625042 0.108260i −0.00298656 0.00517288i
\(439\) 11.6619 20.1991i 0.556594 0.964049i −0.441183 0.897417i \(-0.645441\pi\)
0.997778 0.0666324i \(-0.0212255\pi\)
\(440\) −5.64031 1.82718i −0.268891 0.0871076i
\(441\) −4.22896 + 5.57816i −0.201379 + 0.265627i
\(442\) 0.676613i 0.0321832i
\(443\) −4.91726 + 8.51694i −0.233626 + 0.404652i −0.958872 0.283837i \(-0.908392\pi\)
0.725247 + 0.688489i \(0.241726\pi\)
\(444\) 3.91603 2.26092i 0.185847 0.107299i
\(445\) −4.79092 8.29813i −0.227112 0.393369i
\(446\) −4.90067 + 8.48820i −0.232053 + 0.401928i
\(447\) −0.490157 −0.0231836
\(448\) −0.165362 + 2.64058i −0.00781263 + 0.124756i
\(449\) 9.26223 0.437112 0.218556 0.975824i \(-0.429865\pi\)
0.218556 + 0.975824i \(0.429865\pi\)
\(450\) −1.56265 0.902194i −0.0736639 0.0425299i
\(451\) 0.0222528 + 0.104242i 0.00104784 + 0.00490856i
\(452\) 5.15014 + 8.92030i 0.242242 + 0.419576i
\(453\) 1.68661 2.92130i 0.0792440 0.137255i
\(454\) 23.2907i 1.09309i
\(455\) 16.6845 25.1280i 0.782182 1.17802i
\(456\) 4.15162 0.194418
\(457\) −2.21387 1.27818i −0.103560 0.0597906i 0.447325 0.894371i \(-0.352377\pi\)
−0.550886 + 0.834581i \(0.685710\pi\)
\(458\) −3.26531 5.65569i −0.152578 0.264273i
\(459\) −0.0918811 + 0.0530476i −0.00428864 + 0.00247605i
\(460\) −12.3210 7.11356i −0.574472 0.331672i
\(461\) 29.5798 1.37767 0.688834 0.724919i \(-0.258123\pi\)
0.688834 + 0.724919i \(0.258123\pi\)
\(462\) −8.67933 + 1.29200i −0.403799 + 0.0601092i
\(463\) −9.24447 −0.429627 −0.214813 0.976655i \(-0.568914\pi\)
−0.214813 + 0.976655i \(0.568914\pi\)
\(464\) 6.62708 + 3.82615i 0.307655 + 0.177624i
\(465\) −1.97963 + 1.14294i −0.0918030 + 0.0530025i
\(466\) 5.43383 + 9.41166i 0.251717 + 0.435987i
\(467\) −10.0889 5.82484i −0.466859 0.269541i 0.248065 0.968743i \(-0.420205\pi\)
−0.714924 + 0.699202i \(0.753539\pi\)
\(468\) 6.37742 0.294796
\(469\) −25.7615 + 12.7974i −1.18956 + 0.590931i
\(470\) 17.6653i 0.814840i
\(471\) −2.03150 + 3.51865i −0.0936064 + 0.162131i
\(472\) 6.22747 + 10.7863i 0.286643 + 0.496480i
\(473\) 22.3066 4.76185i 1.02566 0.218950i
\(474\) 8.80673 + 5.08457i 0.404507 + 0.233542i
\(475\) 7.49114 0.343717
\(476\) 0.233847 + 0.155270i 0.0107184 + 0.00711679i
\(477\) 0.627441 0.0287285
\(478\) −3.84574 + 6.66102i −0.175900 + 0.304668i
\(479\) −5.02758 8.70803i −0.229716 0.397880i 0.728008 0.685569i \(-0.240446\pi\)
−0.957724 + 0.287689i \(0.907113\pi\)
\(480\) 1.54813 0.893814i 0.0706622 0.0407968i
\(481\) −14.4188 + 24.9742i −0.657443 + 1.13872i
\(482\) 22.8135i 1.03913i
\(483\) −21.0155 1.31606i −0.956237 0.0598829i
\(484\) −8.91051 6.45003i −0.405023 0.293183i
\(485\) 14.0774 24.3827i 0.639220 1.10716i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −8.65731 14.9949i −0.392300 0.679484i 0.600452 0.799661i \(-0.294987\pi\)
−0.992753 + 0.120176i \(0.961654\pi\)
\(488\) 8.61716 + 4.97512i 0.390080 + 0.225213i
\(489\) 20.7414i 0.937960i
\(490\) −4.85582 11.5328i −0.219364 0.521000i
\(491\) 8.44002i 0.380893i 0.981698 + 0.190446i \(0.0609935\pi\)
−0.981698 + 0.190446i \(0.939006\pi\)
\(492\) −0.0278326 0.0160691i −0.00125479 0.000724453i
\(493\) 0.703101 0.405936i 0.0316661 0.0182824i
\(494\) −22.9294 + 13.2383i −1.03164 + 0.595620i
\(495\) 3.97106 + 4.40254i 0.178486 + 0.197880i
\(496\) 1.27872i 0.0574163i
\(497\) −1.39365 + 22.2544i −0.0625137 + 0.998246i
\(498\) 12.0657 0.540677
\(499\) −9.53597 + 16.5168i −0.426889 + 0.739393i −0.996595 0.0824555i \(-0.973724\pi\)
0.569706 + 0.821849i \(0.307057\pi\)
\(500\) 10.5341 6.08186i 0.471098 0.271989i
\(501\) 2.96934 1.71435i 0.132660 0.0765915i
\(502\) −9.05557 + 15.6847i −0.404170 + 0.700043i
\(503\) 3.32018 0.148039 0.0740197 0.997257i \(-0.476417\pi\)
0.0740197 + 0.997257i \(0.476417\pi\)
\(504\) 1.46350 2.20413i 0.0651893 0.0981796i
\(505\) 13.5377i 0.602419i
\(506\) −17.6795 19.6005i −0.785949 0.871348i
\(507\) −23.9642 + 13.8357i −1.06429 + 0.614466i
\(508\) −2.75761 + 1.59211i −0.122349 + 0.0706384i
\(509\) 3.91339 + 2.25939i 0.173458 + 0.100146i 0.584215 0.811599i \(-0.301402\pi\)
−0.410758 + 0.911745i \(0.634736\pi\)
\(510\) 0.189659i 0.00839822i
\(511\) 0.296206 0.147145i 0.0131034 0.00650931i
\(512\) 1.00000i 0.0441942i
\(513\) −3.59541 2.07581i −0.158741 0.0916493i
\(514\) −1.97123 3.41428i −0.0869474 0.150597i
\(515\) −4.68103 8.10779i −0.206271 0.357272i
\(516\) −3.43862 + 5.95586i −0.151377 + 0.262192i
\(517\) −10.1007 + 31.1796i −0.444226 + 1.37128i
\(518\) 5.32258 + 10.7145i 0.233861 + 0.470766i
\(519\) 21.1524i 0.928488i
\(520\) −5.70022 + 9.87308i −0.249971 + 0.432963i
\(521\) −8.10705 + 4.68061i −0.355176 + 0.205061i −0.666963 0.745091i \(-0.732406\pi\)
0.311786 + 0.950152i \(0.399073\pi\)
\(522\) −3.82615 6.62708i −0.167466 0.290060i
\(523\) 8.70477 15.0771i 0.380633 0.659276i −0.610520 0.792001i \(-0.709039\pi\)
0.991153 + 0.132725i \(0.0423728\pi\)
\(524\) 1.08620 0.0474508
\(525\) 2.64072 3.97710i 0.115250 0.173575i
\(526\) −2.06715 −0.0901320
\(527\) 0.117490 + 0.0678330i 0.00511796 + 0.00295485i
\(528\) 3.24354 0.692408i 0.141157 0.0301332i
\(529\) −20.1702 34.9357i −0.876963 1.51895i
\(530\) −0.560815 + 0.971360i −0.0243603 + 0.0421932i
\(531\) 12.4549i 0.540499i
\(532\) −0.686522 + 10.9627i −0.0297645 + 0.475293i
\(533\) 0.204959 0.00887777
\(534\) 4.64198 + 2.68005i 0.200878 + 0.115977i
\(535\) −4.26161 7.38132i −0.184245 0.319122i
\(536\) 9.41558 5.43609i 0.406691 0.234803i
\(537\) −12.1994 7.04330i −0.526441 0.303941i
\(538\) 2.80480 0.120923
\(539\) −1.97639 23.1321i −0.0851291 0.996370i
\(540\) −1.78763 −0.0769272
\(541\) −34.0973 19.6861i −1.46596 0.846370i −0.466681 0.884426i \(-0.654550\pi\)
−0.999276 + 0.0380552i \(0.987884\pi\)
\(542\) 8.03751 4.64046i 0.345241 0.199325i
\(543\) −6.22897 10.7889i −0.267311 0.462996i
\(544\) −0.0918811 0.0530476i −0.00393937 0.00227440i
\(545\) −15.2044 −0.651285
\(546\) −1.05458 + 16.8401i −0.0451321 + 0.720689i
\(547\) 20.3539i 0.870271i −0.900365 0.435135i \(-0.856701\pi\)
0.900365 0.435135i \(-0.143299\pi\)
\(548\) −3.79098 + 6.56617i −0.161943 + 0.280493i
\(549\) −4.97512 8.61716i −0.212333 0.367771i
\(550\) 5.85261 1.24937i 0.249556 0.0532735i
\(551\) 27.5132 + 15.8847i 1.17210 + 0.676712i
\(552\) 7.95866 0.338743
\(553\) −14.8825 + 22.4141i −0.632869 + 0.953144i
\(554\) 5.23096 0.222242
\(555\) 4.04169 7.00040i 0.171560 0.297151i
\(556\) −0.673214 1.16604i −0.0285506 0.0494512i
\(557\) 11.2830 6.51425i 0.478076 0.276017i −0.241538 0.970391i \(-0.577652\pi\)
0.719614 + 0.694374i \(0.244319\pi\)
\(558\) 0.639360 1.10740i 0.0270663 0.0468802i
\(559\) 43.8590i 1.85504i
\(560\) 2.10418 + 4.23576i 0.0889179 + 0.178994i
\(561\) 0.108443 0.334751i 0.00457846 0.0141332i
\(562\) 3.43641 5.95203i 0.144956 0.251071i
\(563\) −16.7817 29.0667i −0.707262 1.22501i −0.965869 0.259032i \(-0.916597\pi\)
0.258607 0.965983i \(-0.416737\pi\)
\(564\) −4.94099 8.55805i −0.208053 0.360359i
\(565\) 15.9462 + 9.20653i 0.670861 + 0.387322i
\(566\) 12.0108i 0.504853i
\(567\) −2.36949 + 1.17708i −0.0995092 + 0.0494328i
\(568\) 8.42785i 0.353625i
\(569\) 4.80366 + 2.77340i 0.201380 + 0.116267i 0.597299 0.802019i \(-0.296241\pi\)
−0.395919 + 0.918285i \(0.629574\pi\)
\(570\) 6.42726 3.71078i 0.269208 0.155427i
\(571\) 32.1228 18.5461i 1.34430 0.776132i 0.356864 0.934156i \(-0.383846\pi\)
0.987435 + 0.158025i \(0.0505126\pi\)
\(572\) −15.7062 + 14.1669i −0.656710 + 0.592347i
\(573\) 27.2293i 1.13752i
\(574\) 0.0470343 0.0708368i 0.00196317 0.00295667i
\(575\) 14.3605 0.598875
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) 2.66926 1.54110i 0.111123 0.0641567i −0.443409 0.896320i \(-0.646231\pi\)
0.554531 + 0.832163i \(0.312898\pi\)
\(578\) 14.7127 8.49437i 0.611967 0.353319i
\(579\) 13.3190 23.0692i 0.553520 0.958724i
\(580\) 13.6795 0.568008
\(581\) −1.99521 + 31.8604i −0.0827753 + 1.32179i
\(582\) 15.7498i 0.652849i
\(583\) −1.54525 + 1.39381i −0.0639978 + 0.0577255i
\(584\) −0.108260 + 0.0625042i −0.00447985 + 0.00258644i
\(585\) 9.87308 5.70022i 0.408201 0.235675i
\(586\) −12.2237 7.05737i −0.504957 0.291537i
\(587\) 46.9255i 1.93682i 0.249356 + 0.968412i \(0.419781\pi\)
−0.249356 + 0.968412i \(0.580219\pi\)
\(588\) 5.57816 + 4.22896i 0.230040 + 0.174399i
\(589\) 5.30877i 0.218744i
\(590\) 19.2819 + 11.1324i 0.793823 + 0.458314i
\(591\) 5.88818 + 10.1986i 0.242207 + 0.419515i
\(592\) −2.26092 3.91603i −0.0929233 0.160948i
\(593\) 2.57479 4.45967i 0.105734 0.183137i −0.808304 0.588766i \(-0.799614\pi\)
0.914038 + 0.405629i \(0.132947\pi\)
\(594\) −3.15519 1.02213i −0.129459 0.0419384i
\(595\) 0.500808 + 0.0313624i 0.0205311 + 0.00128573i
\(596\) 0.490157i 0.0200776i
\(597\) −10.7004 + 18.5336i −0.437938 + 0.758531i
\(598\) −43.9557 + 25.3779i −1.79748 + 1.03778i
\(599\) 17.5731 + 30.4375i 0.718017 + 1.24364i 0.961784 + 0.273808i \(0.0882832\pi\)
−0.243768 + 0.969834i \(0.578384\pi\)
\(600\) −0.902194 + 1.56265i −0.0368319 + 0.0637948i
\(601\) 42.8385 1.74742 0.873710 0.486447i \(-0.161707\pi\)
0.873710 + 0.486447i \(0.161707\pi\)
\(602\) −15.1583 10.0648i −0.617806 0.410211i
\(603\) −10.8722 −0.442749
\(604\) −2.92130 1.68661i −0.118866 0.0686273i
\(605\) −19.5598 2.02116i −0.795217 0.0821717i
\(606\) −3.78650 6.55841i −0.153816 0.266417i
\(607\) −8.33275 + 14.4328i −0.338216 + 0.585807i −0.984097 0.177631i \(-0.943157\pi\)
0.645881 + 0.763438i \(0.276490\pi\)
\(608\) 4.15162i 0.168371i
\(609\) 18.1320 9.00737i 0.734747 0.364997i
\(610\) 17.7873 0.720187
\(611\) 54.5783 + 31.5108i 2.20800 + 1.27479i
\(612\) 0.0530476 + 0.0918811i 0.00214432 + 0.00371407i
\(613\) −10.3018 + 5.94776i −0.416087 + 0.240228i −0.693402 0.720551i \(-0.743889\pi\)
0.277315 + 0.960779i \(0.410555\pi\)
\(614\) 18.2518 + 10.5377i 0.736582 + 0.425266i
\(615\) −0.0574512 −0.00231666
\(616\) 1.29200 + 8.67933i 0.0520561 + 0.349700i
\(617\) −0.0716192 −0.00288328 −0.00144164 0.999999i \(-0.500459\pi\)
−0.00144164 + 0.999999i \(0.500459\pi\)
\(618\) 4.53550 + 2.61857i 0.182445 + 0.105335i
\(619\) 25.3042 14.6094i 1.01706 0.587200i 0.103809 0.994597i \(-0.466897\pi\)
0.913251 + 0.407397i \(0.133563\pi\)
\(620\) 1.14294 + 1.97963i 0.0459015 + 0.0795037i
\(621\) −6.89240 3.97933i −0.276583 0.159685i
\(622\) −13.9495 −0.559324
\(623\) −7.84448 + 11.8143i −0.314283 + 0.473331i
\(624\) 6.37742i 0.255301i
\(625\) 6.36112 11.0178i 0.254445 0.440711i
\(626\) 1.99203 + 3.45030i 0.0796177 + 0.137902i
\(627\) 13.4660 2.87462i 0.537779 0.114801i
\(628\) 3.51865 + 2.03150i 0.140410 + 0.0810655i
\(629\) −0.479746 −0.0191287
\(630\) 0.295606 4.72037i 0.0117772 0.188064i
\(631\) −43.3663 −1.72638 −0.863192 0.504876i \(-0.831538\pi\)
−0.863192 + 0.504876i \(0.831538\pi\)
\(632\) 5.08457 8.80673i 0.202253 0.350313i
\(633\) 12.6327 + 21.8805i 0.502106 + 0.869672i
\(634\) −10.6509 + 6.14927i −0.422999 + 0.244219i
\(635\) −2.84610 + 4.92958i −0.112944 + 0.195624i
\(636\) 0.627441i 0.0248796i
\(637\) −44.2932 5.56943i −1.75496 0.220669i
\(638\) 24.1445 + 7.82163i 0.955889 + 0.309661i
\(639\) −4.21392 + 7.29873i −0.166700 + 0.288733i
\(640\) −0.893814 1.54813i −0.0353311 0.0611952i
\(641\) 2.72745 + 4.72408i 0.107728 + 0.186590i 0.914849 0.403795i \(-0.132309\pi\)
−0.807122 + 0.590385i \(0.798976\pi\)
\(642\) 4.12912 + 2.38395i 0.162963 + 0.0940869i
\(643\) 4.26488i 0.168190i −0.996458 0.0840952i \(-0.973200\pi\)
0.996458 0.0840952i \(-0.0268000\pi\)
\(644\) −1.31606 + 21.0155i −0.0518601 + 0.828126i
\(645\) 12.2939i 0.484073i
\(646\) −0.381456 0.220234i −0.0150082 0.00866497i
\(647\) 20.5525 11.8660i 0.808004 0.466501i −0.0382582 0.999268i \(-0.512181\pi\)
0.846262 + 0.532767i \(0.178848\pi\)
\(648\) 0.866025 0.500000i 0.0340207 0.0196419i
\(649\) 27.6676 + 30.6739i 1.08605 + 1.20406i
\(650\) 11.5073i 0.451355i
\(651\) 2.81846 + 1.87140i 0.110464 + 0.0733461i
\(652\) −20.7414 −0.812297
\(653\) −16.8093 + 29.1145i −0.657797 + 1.13934i 0.323388 + 0.946266i \(0.395178\pi\)
−0.981185 + 0.193071i \(0.938155\pi\)
\(654\) 7.36585 4.25268i 0.288028 0.166293i
\(655\) 1.68158 0.970859i 0.0657047 0.0379346i
\(656\) −0.0160691 + 0.0278326i −0.000627394 + 0.00108668i
\(657\) 0.125008 0.00487704
\(658\) 23.4153 11.6319i 0.912822 0.453459i
\(659\) 28.9405i 1.12736i −0.825993 0.563681i \(-0.809385\pi\)
0.825993 0.563681i \(-0.190615\pi\)
\(660\) 4.40254 3.97106i 0.171369 0.154573i
\(661\) −0.518650 + 0.299443i −0.0201732 + 0.0116470i −0.510053 0.860143i \(-0.670374\pi\)
0.489880 + 0.871790i \(0.337041\pi\)
\(662\) 26.8582 15.5066i 1.04387 0.602681i
\(663\) −0.585964 0.338307i −0.0227570 0.0131387i
\(664\) 12.0657i 0.468240i
\(665\) 8.73578 + 17.5853i 0.338759 + 0.681929i
\(666\) 4.52184i 0.175218i
\(667\) 52.7427 + 30.4510i 2.04221 + 1.17907i
\(668\) −1.71435 2.96934i −0.0663302 0.114887i
\(669\) −4.90067 8.48820i −0.189471 0.328173i
\(670\) 9.71770 16.8315i 0.375427 0.650259i
\(671\) 31.3949 + 10.1704i 1.21199 + 0.392625i
\(672\) −2.20413 1.46350i −0.0850260 0.0564556i
\(673\) 36.3353i 1.40062i 0.713837 + 0.700312i \(0.246956\pi\)
−0.713837 + 0.700312i \(0.753044\pi\)
\(674\) −6.80807 + 11.7919i −0.262237 + 0.454208i
\(675\) 1.56265 0.902194i 0.0601463 0.0347255i
\(676\) 13.8357 + 23.9642i 0.532144 + 0.921700i
\(677\) 9.99570 17.3131i 0.384166 0.665395i −0.607487 0.794329i \(-0.707822\pi\)
0.991653 + 0.128935i \(0.0411558\pi\)
\(678\) −10.3003 −0.395580
\(679\) −41.5885 2.60442i −1.59602 0.0999484i
\(680\) −0.189659 −0.00727307
\(681\) 20.1704 + 11.6454i 0.772931 + 0.446252i
\(682\) 0.885396 + 4.14759i 0.0339036 + 0.158819i
\(683\) 11.0162 + 19.0807i 0.421524 + 0.730102i 0.996089 0.0883577i \(-0.0281619\pi\)
−0.574564 + 0.818459i \(0.694829\pi\)
\(684\) −2.07581 + 3.59541i −0.0793707 + 0.137474i
\(685\) 13.5537i 0.517861i
\(686\) −12.0893 + 14.0303i −0.461572 + 0.535678i
\(687\) 6.53063 0.249159
\(688\) 5.95586 + 3.43862i 0.227065 + 0.131096i
\(689\) 2.00073 + 3.46536i 0.0762216 + 0.132020i
\(690\) 12.3210 7.11356i 0.469054 0.270809i
\(691\) 9.88161 + 5.70515i 0.375914 + 0.217034i 0.676039 0.736866i \(-0.263695\pi\)
−0.300125 + 0.953900i \(0.597028\pi\)
\(692\) −21.1524 −0.804094
\(693\) 3.22076 8.16252i 0.122347 0.310068i
\(694\) −27.9100 −1.05945
\(695\) −2.08445 1.20346i −0.0790676 0.0456497i
\(696\) −6.62708 + 3.82615i −0.251199 + 0.145030i
\(697\) 0.00170486 + 0.00295290i 6.45761e−5 + 0.000111849i
\(698\) −24.0882 13.9073i −0.911752 0.526400i
\(699\) −10.8677 −0.411052
\(700\) −3.97710 2.64072i −0.150320 0.0998098i
\(701\) 1.92874i 0.0728474i −0.999336 0.0364237i \(-0.988403\pi\)
0.999336 0.0364237i \(-0.0115966\pi\)
\(702\) −3.18871 + 5.52301i −0.120350 + 0.208452i
\(703\) −9.38650 16.2579i −0.354018 0.613178i
\(704\) −0.692408 3.24354i −0.0260961 0.122246i
\(705\) −15.2986 8.83265i −0.576179 0.332657i
\(706\) −21.5149 −0.809725
\(707\) 17.9441 8.91403i 0.674859 0.335247i
\(708\) −12.4549 −0.468086
\(709\) −9.50162 + 16.4573i −0.356841 + 0.618066i −0.987431 0.158050i \(-0.949479\pi\)
0.630590 + 0.776116i \(0.282813\pi\)
\(710\) −7.53293 13.0474i −0.282706 0.489661i
\(711\) −8.80673 + 5.08457i −0.330278 + 0.190686i
\(712\) 2.68005 4.64198i 0.100439 0.173965i
\(713\) 10.1769i 0.381128i
\(714\) −0.251391 + 0.124883i −0.00940808 + 0.00467361i
\(715\) −11.6527 + 35.9706i −0.435787 + 1.34523i
\(716\) −7.04330 + 12.1994i −0.263220 + 0.455911i
\(717\) −3.84574 6.66102i −0.143622 0.248760i
\(718\) 10.4471 + 18.0949i 0.389883 + 0.675297i
\(719\) 17.8998 + 10.3345i 0.667551 + 0.385411i 0.795148 0.606415i \(-0.207393\pi\)
−0.127597 + 0.991826i \(0.540726\pi\)
\(720\) 1.78763i 0.0666209i
\(721\) −7.66455 + 11.5433i −0.285443 + 0.429896i
\(722\) 1.76402i 0.0656500i
\(723\) −19.7571 11.4067i −0.734773 0.424221i
\(724\) −10.7889 + 6.22897i −0.400966 + 0.231498i
\(725\) −11.9578 + 6.90386i −0.444103 + 0.256403i
\(726\) 10.0411 4.49171i 0.372662 0.166703i
\(727\) 1.72185i 0.0638600i −0.999490 0.0319300i \(-0.989835\pi\)
0.999490 0.0319300i \(-0.0101654\pi\)
\(728\) 16.8401 + 1.05458i 0.624135 + 0.0390855i
\(729\) −1.00000 −0.0370370
\(730\) −0.111734 + 0.193529i −0.00413547 + 0.00716284i
\(731\) 0.631887 0.364820i 0.0233712 0.0134934i
\(732\) −8.61716 + 4.97512i −0.318499 + 0.183886i
\(733\) 0.597125 1.03425i 0.0220553 0.0382009i −0.854787 0.518979i \(-0.826312\pi\)
0.876842 + 0.480778i \(0.159646\pi\)
\(734\) 5.34315 0.197219
\(735\) 12.4156 + 1.56114i 0.457957 + 0.0575836i
\(736\) 7.95866i 0.293360i
\(737\) 26.7758 24.1516i 0.986301 0.889636i
\(738\) 0.0278326 0.0160691i 0.00102453 0.000591513i
\(739\) 10.7713 6.21881i 0.396228 0.228763i −0.288627 0.957442i \(-0.593199\pi\)
0.684855 + 0.728679i \(0.259865\pi\)
\(740\) −7.00040 4.04169i −0.257340 0.148575i
\(741\) 26.4766i 0.972644i
\(742\) 1.65681 + 0.103755i 0.0608233 + 0.00380897i
\(743\) 19.1754i 0.703479i 0.936098 + 0.351739i \(0.114410\pi\)
−0.936098 + 0.351739i \(0.885590\pi\)
\(744\) −1.10740 0.639360i −0.0405994 0.0234401i
\(745\) 0.438109 + 0.758827i 0.0160511 + 0.0278013i
\(746\) 12.6868 + 21.9741i 0.464495 + 0.804529i
\(747\) −6.03285 + 10.4492i −0.220730 + 0.382316i
\(748\) −0.334751 0.108443i −0.0122397 0.00396506i
\(749\) −6.97780 + 10.5090i −0.254963 + 0.383992i
\(750\) 12.1637i 0.444156i
\(751\) −22.9870 + 39.8146i −0.838807 + 1.45286i 0.0520865 + 0.998643i \(0.483413\pi\)
−0.890893 + 0.454213i \(0.849921\pi\)
\(752\) −8.55805 + 4.94099i −0.312080 + 0.180179i
\(753\) −9.05557 15.6847i −0.330003 0.571583i
\(754\) 24.4009 42.2637i 0.888630 1.53915i
\(755\) −6.03007 −0.219457
\(756\) 1.17708 + 2.36949i 0.0428100 + 0.0861775i
\(757\) 32.1348 1.16796 0.583979 0.811768i \(-0.301495\pi\)
0.583979 + 0.811768i \(0.301495\pi\)
\(758\) 19.7048 + 11.3766i 0.715712 + 0.413217i
\(759\) 25.8143 5.51064i 0.936998 0.200024i
\(760\) −3.71078 6.42726i −0.134604 0.233141i
\(761\) −10.2499 + 17.7533i −0.371558 + 0.643558i −0.989805 0.142426i \(-0.954510\pi\)
0.618247 + 0.785984i \(0.287843\pi\)
\(762\) 3.18422i 0.115352i
\(763\) 10.0115 + 20.1533i 0.362440 + 0.729600i
\(764\) 27.2293 0.985122
\(765\) 0.164249 + 0.0948293i 0.00593844 + 0.00342856i
\(766\) −8.27402 14.3310i −0.298953 0.517801i
\(767\) 68.7888 39.7152i 2.48382 1.43403i
\(768\) 0.866025 + 0.500000i 0.0312500 + 0.0180422i
\(769\) −14.3312 −0.516796 −0.258398 0.966039i \(-0.583195\pi\)
−0.258398 + 0.966039i \(0.583195\pi\)
\(770\) 9.75788 + 12.2819i 0.351650 + 0.442610i
\(771\) 3.94247 0.141984
\(772\) −23.0692 13.3190i −0.830280 0.479362i
\(773\) −25.6118 + 14.7870i −0.921193 + 0.531851i −0.884016 0.467457i \(-0.845170\pi\)
−0.0371778 + 0.999309i \(0.511837\pi\)
\(774\) −3.43862 5.95586i −0.123598 0.214079i
\(