Properties

Label 585.2.bt.b.376.7
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 376.7
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.91643 - 1.10645i) q^{2} +(1.62047 + 0.611626i) q^{3} +(1.44848 + 2.50883i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.42878 - 2.96511i) q^{6} +(0.916933 + 0.529392i) q^{7} -1.98487i q^{8} +(2.25183 + 1.98224i) q^{9} +O(q^{10})\) \(q+(-1.91643 - 1.10645i) q^{2} +(1.62047 + 0.611626i) q^{3} +(1.44848 + 2.50883i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.42878 - 2.96511i) q^{6} +(0.916933 + 0.529392i) q^{7} -1.98487i q^{8} +(2.25183 + 1.98224i) q^{9} -2.21291 q^{10} +(-1.05983 - 0.611891i) q^{11} +(0.812740 + 4.95141i) q^{12} +(3.38513 + 1.24132i) q^{13} +(-1.17149 - 2.02909i) q^{14} +(1.70918 - 0.280550i) q^{15} +(0.700788 - 1.21380i) q^{16} -1.24095 q^{17} +(-2.12222 - 6.29037i) q^{18} +4.23962i q^{19} +(2.50883 + 1.44848i) q^{20} +(1.16207 + 1.41868i) q^{21} +(1.35406 + 2.34530i) q^{22} +(-0.567930 - 0.983684i) q^{23} +(1.21400 - 3.21641i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-5.11391 - 6.12440i) q^{26} +(2.43663 + 4.58943i) q^{27} +3.06724i q^{28} +(1.73591 - 3.00669i) q^{29} +(-3.58594 - 1.35347i) q^{30} +(1.71755 - 0.991626i) q^{31} +(-6.12392 + 3.53565i) q^{32} +(-1.34317 - 1.63977i) q^{33} +(2.37820 + 1.37306i) q^{34} +1.05878 q^{35} +(-1.71139 + 8.52069i) q^{36} +11.5907i q^{37} +(4.69094 - 8.12494i) q^{38} +(4.72627 + 4.08196i) q^{39} +(-0.992434 - 1.71895i) q^{40} +(3.01508 - 1.74076i) q^{41} +(-0.657326 - 4.00458i) q^{42} +(-2.57139 + 4.45377i) q^{43} -3.54524i q^{44} +(2.94126 + 0.590755i) q^{45} +2.51355i q^{46} +(4.19252 + 2.42055i) q^{47} +(1.87800 - 1.53830i) q^{48} +(-2.93949 - 5.09134i) q^{49} +(-1.91643 + 1.10645i) q^{50} +(-2.01092 - 0.758998i) q^{51} +(1.78901 + 10.2908i) q^{52} +3.53594 q^{53} +(0.408359 - 11.4913i) q^{54} -1.22378 q^{55} +(1.05077 - 1.81999i) q^{56} +(-2.59306 + 6.87016i) q^{57} +(-6.65352 + 3.84141i) q^{58} +(-0.233139 + 0.134603i) q^{59} +(3.17956 + 3.88167i) q^{60} +(5.60990 - 9.71663i) q^{61} -4.38875 q^{62} +(1.01540 + 3.00968i) q^{63} +12.8450 q^{64} +(3.55227 - 0.617550i) q^{65} +(0.759762 + 4.62865i) q^{66} +(4.51431 - 2.60634i) q^{67} +(-1.79749 - 3.11334i) q^{68} +(-0.318666 - 1.94139i) q^{69} +(-2.02909 - 1.17149i) q^{70} -5.36211i q^{71} +(3.93448 - 4.46958i) q^{72} -8.09939i q^{73} +(12.8246 - 22.2128i) q^{74} +(1.33992 - 1.09755i) q^{75} +(-10.6365 + 6.14098i) q^{76} +(-0.647860 - 1.12213i) q^{77} +(-4.54109 - 13.0522i) q^{78} +(3.73605 - 6.47103i) q^{79} -1.40158i q^{80} +(1.14146 + 8.92732i) q^{81} -7.70426 q^{82} +(-1.26565 - 0.730723i) q^{83} +(-1.87600 + 4.97037i) q^{84} +(-1.07470 + 0.620476i) q^{85} +(9.85578 - 5.69024i) q^{86} +(4.65196 - 3.81051i) q^{87} +(-1.21452 + 2.10362i) q^{88} -16.4481i q^{89} +(-4.98308 - 4.38651i) q^{90} +(2.44679 + 2.93027i) q^{91} +(1.64527 - 2.84968i) q^{92} +(3.38973 - 0.556402i) q^{93} +(-5.35645 - 9.27764i) q^{94} +(2.11981 + 3.67162i) q^{95} +(-12.0861 + 1.98385i) q^{96} +(3.53755 + 2.04240i) q^{97} +13.0096i q^{98} +(-1.17363 - 3.47870i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.91643 1.10645i −1.35512 0.782380i −0.366161 0.930552i \(-0.619328\pi\)
−0.988962 + 0.148171i \(0.952661\pi\)
\(3\) 1.62047 + 0.611626i 0.935577 + 0.353122i
\(4\) 1.44848 + 2.50883i 0.724238 + 1.25442i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −2.42878 2.96511i −0.991546 1.21050i
\(7\) 0.916933 + 0.529392i 0.346568 + 0.200091i 0.663173 0.748466i \(-0.269209\pi\)
−0.316605 + 0.948558i \(0.602543\pi\)
\(8\) 1.98487i 0.701757i
\(9\) 2.25183 + 1.98224i 0.750609 + 0.660746i
\(10\) −2.21291 −0.699782
\(11\) −1.05983 0.611891i −0.319550 0.184492i 0.331642 0.943405i \(-0.392397\pi\)
−0.651192 + 0.758913i \(0.725731\pi\)
\(12\) 0.812740 + 4.95141i 0.234618 + 1.42935i
\(13\) 3.38513 + 1.24132i 0.938867 + 0.344281i
\(14\) −1.17149 2.02909i −0.313095 0.542296i
\(15\) 1.70918 0.280550i 0.441308 0.0724377i
\(16\) 0.700788 1.21380i 0.175197 0.303450i
\(17\) −1.24095 −0.300975 −0.150488 0.988612i \(-0.548084\pi\)
−0.150488 + 0.988612i \(0.548084\pi\)
\(18\) −2.12222 6.29037i −0.500213 1.48265i
\(19\) 4.23962i 0.972635i 0.873782 + 0.486317i \(0.161660\pi\)
−0.873782 + 0.486317i \(0.838340\pi\)
\(20\) 2.50883 + 1.44848i 0.560992 + 0.323889i
\(21\) 1.16207 + 1.41868i 0.253585 + 0.309582i
\(22\) 1.35406 + 2.34530i 0.288686 + 0.500019i
\(23\) −0.567930 0.983684i −0.118422 0.205112i 0.800721 0.599038i \(-0.204450\pi\)
−0.919142 + 0.393926i \(0.871117\pi\)
\(24\) 1.21400 3.21641i 0.247806 0.656548i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −5.11391 6.12440i −1.00292 1.20109i
\(27\) 2.43663 + 4.58943i 0.468929 + 0.883236i
\(28\) 3.06724i 0.579655i
\(29\) 1.73591 3.00669i 0.322351 0.558328i −0.658622 0.752474i \(-0.728860\pi\)
0.980973 + 0.194146i \(0.0621936\pi\)
\(30\) −3.58594 1.35347i −0.654700 0.247109i
\(31\) 1.71755 0.991626i 0.308481 0.178101i −0.337766 0.941230i \(-0.609671\pi\)
0.646246 + 0.763129i \(0.276338\pi\)
\(32\) −6.12392 + 3.53565i −1.08257 + 0.625020i
\(33\) −1.34317 1.63977i −0.233815 0.285447i
\(34\) 2.37820 + 1.37306i 0.407858 + 0.235477i
\(35\) 1.05878 0.178967
\(36\) −1.71139 + 8.52069i −0.285232 + 1.42011i
\(37\) 11.5907i 1.90550i 0.303750 + 0.952752i \(0.401761\pi\)
−0.303750 + 0.952752i \(0.598239\pi\)
\(38\) 4.69094 8.12494i 0.760970 1.31804i
\(39\) 4.72627 + 4.08196i 0.756809 + 0.653636i
\(40\) −0.992434 1.71895i −0.156918 0.271789i
\(41\) 3.01508 1.74076i 0.470876 0.271860i −0.245730 0.969338i \(-0.579028\pi\)
0.716606 + 0.697478i \(0.245694\pi\)
\(42\) −0.657326 4.00458i −0.101428 0.617921i
\(43\) −2.57139 + 4.45377i −0.392133 + 0.679194i −0.992731 0.120357i \(-0.961596\pi\)
0.600598 + 0.799551i \(0.294929\pi\)
\(44\) 3.54524i 0.534465i
\(45\) 2.94126 + 0.590755i 0.438457 + 0.0880646i
\(46\) 2.51355i 0.370603i
\(47\) 4.19252 + 2.42055i 0.611541 + 0.353074i 0.773568 0.633713i \(-0.218470\pi\)
−0.162027 + 0.986786i \(0.551803\pi\)
\(48\) 1.87800 1.53830i 0.271065 0.222035i
\(49\) −2.93949 5.09134i −0.419927 0.727335i
\(50\) −1.91643 + 1.10645i −0.271024 + 0.156476i
\(51\) −2.01092 0.758998i −0.281586 0.106281i
\(52\) 1.78901 + 10.2908i 0.248091 + 1.42707i
\(53\) 3.53594 0.485699 0.242849 0.970064i \(-0.421918\pi\)
0.242849 + 0.970064i \(0.421918\pi\)
\(54\) 0.408359 11.4913i 0.0555707 1.56377i
\(55\) −1.22378 −0.165015
\(56\) 1.05077 1.81999i 0.140415 0.243207i
\(57\) −2.59306 + 6.87016i −0.343459 + 0.909975i
\(58\) −6.65352 + 3.84141i −0.873650 + 0.504402i
\(59\) −0.233139 + 0.134603i −0.0303521 + 0.0175238i −0.515099 0.857131i \(-0.672245\pi\)
0.484747 + 0.874654i \(0.338912\pi\)
\(60\) 3.17956 + 3.88167i 0.410479 + 0.501122i
\(61\) 5.60990 9.71663i 0.718274 1.24409i −0.243409 0.969924i \(-0.578266\pi\)
0.961683 0.274164i \(-0.0884010\pi\)
\(62\) −4.38875 −0.557372
\(63\) 1.01540 + 3.00968i 0.127928 + 0.379184i
\(64\) 12.8450 1.60562
\(65\) 3.55227 0.617550i 0.440605 0.0765977i
\(66\) 0.759762 + 4.62865i 0.0935203 + 0.569748i
\(67\) 4.51431 2.60634i 0.551511 0.318415i −0.198220 0.980158i \(-0.563516\pi\)
0.749731 + 0.661742i \(0.230183\pi\)
\(68\) −1.79749 3.11334i −0.217978 0.377548i
\(69\) −0.318666 1.94139i −0.0383629 0.233716i
\(70\) −2.02909 1.17149i −0.242522 0.140020i
\(71\) 5.36211i 0.636365i −0.948029 0.318183i \(-0.896927\pi\)
0.948029 0.318183i \(-0.103073\pi\)
\(72\) 3.93448 4.46958i 0.463683 0.526745i
\(73\) 8.09939i 0.947962i −0.880535 0.473981i \(-0.842817\pi\)
0.880535 0.473981i \(-0.157183\pi\)
\(74\) 12.8246 22.2128i 1.49083 2.58219i
\(75\) 1.33992 1.09755i 0.154720 0.126734i
\(76\) −10.6365 + 6.14098i −1.22009 + 0.704419i
\(77\) −0.647860 1.12213i −0.0738306 0.127878i
\(78\) −4.54109 13.0522i −0.514177 1.47787i
\(79\) 3.73605 6.47103i 0.420339 0.728048i −0.575634 0.817708i \(-0.695245\pi\)
0.995972 + 0.0896596i \(0.0285779\pi\)
\(80\) 1.40158i 0.156701i
\(81\) 1.14146 + 8.92732i 0.126829 + 0.991925i
\(82\) −7.70426 −0.850793
\(83\) −1.26565 0.730723i −0.138923 0.0802073i 0.428928 0.903339i \(-0.358892\pi\)
−0.567851 + 0.823132i \(0.692225\pi\)
\(84\) −1.87600 + 4.97037i −0.204689 + 0.542312i
\(85\) −1.07470 + 0.620476i −0.116567 + 0.0673001i
\(86\) 9.85578 5.69024i 1.06278 0.613594i
\(87\) 4.65196 3.81051i 0.498742 0.408530i
\(88\) −1.21452 + 2.10362i −0.129469 + 0.224246i
\(89\) 16.4481i 1.74349i −0.489955 0.871747i \(-0.662987\pi\)
0.489955 0.871747i \(-0.337013\pi\)
\(90\) −4.98308 4.38651i −0.525263 0.462378i
\(91\) 2.44679 + 2.93027i 0.256494 + 0.307176i
\(92\) 1.64527 2.84968i 0.171531 0.297100i
\(93\) 3.38973 0.556402i 0.351499 0.0576962i
\(94\) −5.35645 9.27764i −0.552476 0.956916i
\(95\) 2.11981 + 3.67162i 0.217488 + 0.376700i
\(96\) −12.0861 + 1.98385i −1.23353 + 0.202476i
\(97\) 3.53755 + 2.04240i 0.359183 + 0.207375i 0.668723 0.743512i \(-0.266841\pi\)
−0.309539 + 0.950887i \(0.600175\pi\)
\(98\) 13.0096i 1.31417i
\(99\) −1.17363 3.47870i −0.117955 0.349623i
\(100\) 2.89695 0.289695
\(101\) −6.61239 + 11.4530i −0.657958 + 1.13962i 0.323186 + 0.946336i \(0.395246\pi\)
−0.981143 + 0.193281i \(0.938087\pi\)
\(102\) 3.01400 + 3.67956i 0.298431 + 0.364331i
\(103\) 1.09724 + 1.90048i 0.108114 + 0.187259i 0.915006 0.403439i \(-0.132185\pi\)
−0.806892 + 0.590699i \(0.798852\pi\)
\(104\) 2.46386 6.71904i 0.241601 0.658856i
\(105\) 1.71572 + 0.647579i 0.167437 + 0.0631972i
\(106\) −6.77639 3.91235i −0.658181 0.380001i
\(107\) −14.1628 −1.36917 −0.684585 0.728933i \(-0.740017\pi\)
−0.684585 + 0.728933i \(0.740017\pi\)
\(108\) −7.98472 + 12.7608i −0.768330 + 1.22790i
\(109\) 0.673663i 0.0645252i 0.999479 + 0.0322626i \(0.0102713\pi\)
−0.999479 + 0.0322626i \(0.989729\pi\)
\(110\) 2.34530 + 1.35406i 0.223615 + 0.129104i
\(111\) −7.08919 + 18.7824i −0.672876 + 1.78275i
\(112\) 1.28515 0.741983i 0.121435 0.0701108i
\(113\) 8.22843 + 14.2521i 0.774066 + 1.34072i 0.935318 + 0.353808i \(0.115113\pi\)
−0.161252 + 0.986913i \(0.551553\pi\)
\(114\) 12.5709 10.2971i 1.17738 0.964412i
\(115\) −0.983684 0.567930i −0.0917290 0.0529598i
\(116\) 10.0577 0.933834
\(117\) 5.16214 + 9.50538i 0.477240 + 0.878773i
\(118\) 0.595727 0.0548411
\(119\) −1.13787 0.656950i −0.104308 0.0602225i
\(120\) −0.556855 3.39249i −0.0508337 0.309691i
\(121\) −4.75118 8.22928i −0.431925 0.748116i
\(122\) −21.5020 + 12.4142i −1.94670 + 1.12393i
\(123\) 5.95053 0.976739i 0.536541 0.0880696i
\(124\) 4.97565 + 2.87269i 0.446826 + 0.257975i
\(125\) 1.00000i 0.0894427i
\(126\) 1.38413 6.89133i 0.123308 0.613929i
\(127\) −18.7156 −1.66074 −0.830371 0.557211i \(-0.811871\pi\)
−0.830371 + 0.557211i \(0.811871\pi\)
\(128\) −12.3686 7.14104i −1.09324 0.631185i
\(129\) −6.89089 + 5.64447i −0.606709 + 0.496968i
\(130\) −7.49098 2.74693i −0.657002 0.240921i
\(131\) 7.24460 + 12.5480i 0.632963 + 1.09632i 0.986943 + 0.161071i \(0.0514950\pi\)
−0.353979 + 0.935253i \(0.615172\pi\)
\(132\) 2.16836 5.74494i 0.188731 0.500033i
\(133\) −2.24442 + 3.88744i −0.194616 + 0.337084i
\(134\) −11.5352 −0.996487
\(135\) 4.40489 + 2.75625i 0.379113 + 0.237220i
\(136\) 2.46313i 0.211211i
\(137\) −1.03496 0.597533i −0.0884225 0.0510507i 0.455137 0.890422i \(-0.349590\pi\)
−0.543559 + 0.839371i \(0.682924\pi\)
\(138\) −1.53735 + 4.07313i −0.130868 + 0.346728i
\(139\) 3.18816 + 5.52206i 0.270416 + 0.468375i 0.968968 0.247184i \(-0.0795053\pi\)
−0.698552 + 0.715559i \(0.746172\pi\)
\(140\) 1.53362 + 2.65631i 0.129615 + 0.224499i
\(141\) 5.31336 + 6.48667i 0.447466 + 0.546276i
\(142\) −5.93292 + 10.2761i −0.497880 + 0.862353i
\(143\) −2.82810 3.38692i −0.236498 0.283228i
\(144\) 3.98410 1.34414i 0.332008 0.112012i
\(145\) 3.47182i 0.288319i
\(146\) −8.96159 + 15.5219i −0.741667 + 1.28460i
\(147\) −1.64935 10.0482i −0.136036 0.828764i
\(148\) −29.0792 + 16.7889i −2.39030 + 1.38004i
\(149\) −14.4733 + 8.35614i −1.18570 + 0.684561i −0.957325 0.289013i \(-0.906673\pi\)
−0.228370 + 0.973574i \(0.573340\pi\)
\(150\) −3.78225 + 0.620831i −0.308819 + 0.0506906i
\(151\) −6.42988 3.71229i −0.523256 0.302102i 0.215010 0.976612i \(-0.431022\pi\)
−0.738266 + 0.674510i \(0.764355\pi\)
\(152\) 8.41508 0.682553
\(153\) −2.79441 2.45986i −0.225915 0.198868i
\(154\) 2.86731i 0.231054i
\(155\) 0.991626 1.71755i 0.0796493 0.137957i
\(156\) −3.39506 + 17.7700i −0.271822 + 1.42274i
\(157\) −6.65410 11.5252i −0.531055 0.919814i −0.999343 0.0362382i \(-0.988463\pi\)
0.468288 0.883576i \(-0.344871\pi\)
\(158\) −14.3198 + 8.26753i −1.13922 + 0.657729i
\(159\) 5.72987 + 2.16267i 0.454409 + 0.171511i
\(160\) −3.53565 + 6.12392i −0.279517 + 0.484138i
\(161\) 1.20263i 0.0947805i
\(162\) 7.69013 18.3716i 0.604194 1.44341i
\(163\) 17.2668i 1.35244i −0.736699 0.676221i \(-0.763616\pi\)
0.736699 0.676221i \(-0.236384\pi\)
\(164\) 8.73453 + 5.04288i 0.682052 + 0.393783i
\(165\) −1.98310 0.748497i −0.154384 0.0582704i
\(166\) 1.61702 + 2.80076i 0.125505 + 0.217381i
\(167\) −17.1671 + 9.91143i −1.32843 + 0.766969i −0.985057 0.172230i \(-0.944903\pi\)
−0.343373 + 0.939199i \(0.611570\pi\)
\(168\) 2.81590 2.30656i 0.217251 0.177955i
\(169\) 9.91824 + 8.40408i 0.762942 + 0.646467i
\(170\) 2.74611 0.210617
\(171\) −8.40393 + 9.54689i −0.642665 + 0.730069i
\(172\) −14.8984 −1.13599
\(173\) −3.56636 + 6.17711i −0.271145 + 0.469637i −0.969155 0.246451i \(-0.920736\pi\)
0.698010 + 0.716088i \(0.254069\pi\)
\(174\) −13.1313 + 2.15542i −0.995482 + 0.163402i
\(175\) 0.916933 0.529392i 0.0693136 0.0400182i
\(176\) −1.48543 + 0.857613i −0.111968 + 0.0646450i
\(177\) −0.460121 + 0.0755258i −0.0345848 + 0.00567686i
\(178\) −18.1990 + 31.5217i −1.36408 + 2.36265i
\(179\) −9.02185 −0.674325 −0.337162 0.941447i \(-0.609467\pi\)
−0.337162 + 0.941447i \(0.609467\pi\)
\(180\) 2.77824 + 8.23482i 0.207078 + 0.613788i
\(181\) 3.08861 0.229575 0.114787 0.993390i \(-0.463381\pi\)
0.114787 + 0.993390i \(0.463381\pi\)
\(182\) −1.44691 8.32293i −0.107252 0.616936i
\(183\) 15.0336 12.3143i 1.11132 0.910301i
\(184\) −1.95248 + 1.12727i −0.143939 + 0.0831032i
\(185\) 5.79536 + 10.0379i 0.426084 + 0.737998i
\(186\) −7.11183 2.68427i −0.521464 0.196820i
\(187\) 1.31520 + 0.759328i 0.0961766 + 0.0555276i
\(188\) 14.0244i 1.02284i
\(189\) −0.195383 + 5.49813i −0.0142120 + 0.399930i
\(190\) 9.38187i 0.680632i
\(191\) 10.2536 17.7598i 0.741927 1.28506i −0.209690 0.977768i \(-0.567245\pi\)
0.951617 0.307287i \(-0.0994212\pi\)
\(192\) 20.8148 + 7.85630i 1.50218 + 0.566980i
\(193\) −4.73010 + 2.73093i −0.340480 + 0.196576i −0.660484 0.750840i \(-0.729649\pi\)
0.320004 + 0.947416i \(0.396316\pi\)
\(194\) −4.51965 7.82826i −0.324492 0.562036i
\(195\) 6.13405 + 1.17194i 0.439268 + 0.0839244i
\(196\) 8.51556 14.7494i 0.608254 1.05353i
\(197\) 10.3771i 0.739340i −0.929163 0.369670i \(-0.879471\pi\)
0.929163 0.369670i \(-0.120529\pi\)
\(198\) −1.59983 + 7.96527i −0.113695 + 0.566067i
\(199\) −25.1188 −1.78062 −0.890311 0.455354i \(-0.849513\pi\)
−0.890311 + 0.455354i \(0.849513\pi\)
\(200\) −1.71895 0.992434i −0.121548 0.0701757i
\(201\) 8.90940 1.46242i 0.628421 0.103151i
\(202\) 25.3444 14.6326i 1.78323 1.02955i
\(203\) 3.18343 1.83795i 0.223433 0.128999i
\(204\) −1.00857 6.14446i −0.0706142 0.430198i
\(205\) 1.74076 3.01508i 0.121580 0.210582i
\(206\) 4.85618i 0.338346i
\(207\) 0.671015 3.34086i 0.0466388 0.232206i
\(208\) 3.87898 3.23897i 0.268959 0.224582i
\(209\) 2.59418 4.49326i 0.179444 0.310805i
\(210\) −2.57155 3.13941i −0.177454 0.216640i
\(211\) −5.56068 9.63138i −0.382813 0.663052i 0.608650 0.793439i \(-0.291711\pi\)
−0.991463 + 0.130387i \(0.958378\pi\)
\(212\) 5.12172 + 8.87108i 0.351761 + 0.609268i
\(213\) 3.27960 8.68912i 0.224715 0.595369i
\(214\) 27.1421 + 15.6705i 1.85539 + 1.07121i
\(215\) 5.14277i 0.350734i
\(216\) 9.10941 4.83638i 0.619817 0.329074i
\(217\) 2.09983 0.142546
\(218\) 0.745376 1.29103i 0.0504832 0.0874395i
\(219\) 4.95380 13.1248i 0.334747 0.886892i
\(220\) −1.77262 3.07027i −0.119510 0.206997i
\(221\) −4.20079 1.54042i −0.282576 0.103620i
\(222\) 34.3678 28.1513i 2.30661 1.88939i
\(223\) 11.0073 + 6.35506i 0.737102 + 0.425566i 0.821015 0.570907i \(-0.193408\pi\)
−0.0839124 + 0.996473i \(0.526742\pi\)
\(224\) −7.48697 −0.500244
\(225\) 2.84258 0.959021i 0.189506 0.0639347i
\(226\) 36.4175i 2.42246i
\(227\) −12.8509 7.41948i −0.852945 0.492448i 0.00869815 0.999962i \(-0.497231\pi\)
−0.861644 + 0.507514i \(0.830565\pi\)
\(228\) −20.9921 + 3.44571i −1.39023 + 0.228197i
\(229\) 8.61681 4.97492i 0.569415 0.328752i −0.187501 0.982264i \(-0.560039\pi\)
0.756916 + 0.653513i \(0.226705\pi\)
\(230\) 1.25678 + 2.17680i 0.0828693 + 0.143534i
\(231\) −0.363515 2.21462i −0.0239175 0.145711i
\(232\) −5.96788 3.44556i −0.391810 0.226212i
\(233\) 14.2054 0.930628 0.465314 0.885146i \(-0.345941\pi\)
0.465314 + 0.885146i \(0.345941\pi\)
\(234\) 0.624367 23.9281i 0.0408161 1.56423i
\(235\) 4.84110 0.315799
\(236\) −0.675393 0.389938i −0.0439643 0.0253828i
\(237\) 10.0120 8.20103i 0.650349 0.532714i
\(238\) 1.45377 + 2.51800i 0.0942338 + 0.163218i
\(239\) −7.62843 + 4.40428i −0.493442 + 0.284889i −0.726001 0.687693i \(-0.758623\pi\)
0.232559 + 0.972582i \(0.425290\pi\)
\(240\) 0.857240 2.27121i 0.0553346 0.146606i
\(241\) −20.2820 11.7098i −1.30648 0.754296i −0.324972 0.945724i \(-0.605355\pi\)
−0.981507 + 0.191427i \(0.938688\pi\)
\(242\) 21.0278i 1.35172i
\(243\) −3.61048 + 15.1646i −0.231613 + 0.972808i
\(244\) 32.5032 2.08081
\(245\) −5.09134 2.93949i −0.325274 0.187797i
\(246\) −12.4845 4.71212i −0.795982 0.300434i
\(247\) −5.26273 + 14.3517i −0.334859 + 0.913174i
\(248\) −1.96825 3.40910i −0.124984 0.216478i
\(249\) −1.60401 1.95822i −0.101650 0.124097i
\(250\) −1.10645 + 1.91643i −0.0699782 + 0.121206i
\(251\) 7.47522 0.471832 0.235916 0.971774i \(-0.424191\pi\)
0.235916 + 0.971774i \(0.424191\pi\)
\(252\) −6.08001 + 6.90690i −0.383005 + 0.435094i
\(253\) 1.39005i 0.0873915i
\(254\) 35.8672 + 20.7079i 2.25051 + 1.29933i
\(255\) −2.12101 + 0.348149i −0.132823 + 0.0218020i
\(256\) 2.95749 + 5.12253i 0.184843 + 0.320158i
\(257\) 1.35692 + 2.35025i 0.0846420 + 0.146604i 0.905239 0.424904i \(-0.139692\pi\)
−0.820597 + 0.571508i \(0.806359\pi\)
\(258\) 19.4513 3.19279i 1.21098 0.198775i
\(259\) −6.13603 + 10.6279i −0.381275 + 0.660387i
\(260\) 6.69471 + 8.01755i 0.415188 + 0.497227i
\(261\) 9.86895 3.32955i 0.610873 0.206094i
\(262\) 32.0632i 1.98087i
\(263\) −11.3253 + 19.6160i −0.698347 + 1.20957i 0.270692 + 0.962666i \(0.412747\pi\)
−0.969039 + 0.246907i \(0.920586\pi\)
\(264\) −3.25472 + 2.66601i −0.200314 + 0.164081i
\(265\) 3.06221 1.76797i 0.188110 0.108606i
\(266\) 8.60255 4.96668i 0.527456 0.304527i
\(267\) 10.0601 26.6536i 0.615667 1.63117i
\(268\) 13.0777 + 7.55044i 0.798850 + 0.461216i
\(269\) −21.8510 −1.33228 −0.666139 0.745827i \(-0.732054\pi\)
−0.666139 + 0.745827i \(0.732054\pi\)
\(270\) −5.39202 10.1560i −0.328148 0.618073i
\(271\) 13.5318i 0.821999i 0.911636 + 0.411000i \(0.134820\pi\)
−0.911636 + 0.411000i \(0.865180\pi\)
\(272\) −0.869645 + 1.50627i −0.0527300 + 0.0913310i
\(273\) 2.17272 + 6.24493i 0.131499 + 0.377960i
\(274\) 1.32229 + 2.29026i 0.0798822 + 0.138360i
\(275\) −1.05983 + 0.611891i −0.0639100 + 0.0368984i
\(276\) 4.40904 3.61153i 0.265393 0.217389i
\(277\) −0.0155003 + 0.0268472i −0.000931320 + 0.00161309i −0.866491 0.499193i \(-0.833630\pi\)
0.865559 + 0.500806i \(0.166963\pi\)
\(278\) 14.1102i 0.846274i
\(279\) 5.83326 + 1.17162i 0.349228 + 0.0701429i
\(280\) 2.10155i 0.125591i
\(281\) 9.91681 + 5.72548i 0.591588 + 0.341553i 0.765725 0.643168i \(-0.222380\pi\)
−0.174137 + 0.984721i \(0.555714\pi\)
\(282\) −3.00551 18.3103i −0.178975 1.09036i
\(283\) −15.9080 27.5534i −0.945631 1.63788i −0.754484 0.656319i \(-0.772113\pi\)
−0.191147 0.981561i \(-0.561221\pi\)
\(284\) 13.4526 7.76688i 0.798267 0.460880i
\(285\) 1.18943 + 7.24626i 0.0704555 + 0.429231i
\(286\) 1.67240 + 9.61996i 0.0988909 + 0.568840i
\(287\) 3.68617 0.217588
\(288\) −20.7985 4.17740i −1.22556 0.246156i
\(289\) −15.4600 −0.909414
\(290\) −3.84141 + 6.65352i −0.225575 + 0.390708i
\(291\) 4.48329 + 5.47330i 0.262815 + 0.320851i
\(292\) 20.3200 11.7318i 1.18914 0.686550i
\(293\) 24.7599 14.2951i 1.44649 0.835131i 0.448219 0.893924i \(-0.352059\pi\)
0.998270 + 0.0587932i \(0.0187252\pi\)
\(294\) −7.95702 + 21.0817i −0.464063 + 1.22951i
\(295\) −0.134603 + 0.233139i −0.00783689 + 0.0135739i
\(296\) 23.0061 1.33720
\(297\) 0.225831 6.35495i 0.0131041 0.368752i
\(298\) 36.9827 2.14235
\(299\) −0.701451 4.03488i −0.0405659 0.233343i
\(300\) 4.69441 + 1.77185i 0.271032 + 0.102298i
\(301\) −4.71558 + 2.72254i −0.271801 + 0.156925i
\(302\) 8.21495 + 14.2287i 0.472717 + 0.818770i
\(303\) −17.7201 + 14.5149i −1.01799 + 0.833860i
\(304\) 5.14605 + 2.97107i 0.295146 + 0.170403i
\(305\) 11.2198i 0.642444i
\(306\) 2.63358 + 7.80605i 0.150552 + 0.446242i
\(307\) 4.95115i 0.282577i −0.989968 0.141289i \(-0.954875\pi\)
0.989968 0.141289i \(-0.0451245\pi\)
\(308\) 1.87682 3.25075i 0.106942 0.185229i
\(309\) 0.615662 + 3.75076i 0.0350238 + 0.213373i
\(310\) −3.80077 + 2.19437i −0.215869 + 0.124632i
\(311\) −0.638413 1.10576i −0.0362011 0.0627021i 0.847357 0.531023i \(-0.178192\pi\)
−0.883558 + 0.468321i \(0.844859\pi\)
\(312\) 8.10214 9.38103i 0.458694 0.531096i
\(313\) 7.67494 13.2934i 0.433813 0.751387i −0.563385 0.826195i \(-0.690501\pi\)
0.997198 + 0.0748080i \(0.0238344\pi\)
\(314\) 29.4498i 1.66195i
\(315\) 2.38420 + 2.09876i 0.134334 + 0.118252i
\(316\) 21.6463 1.21770
\(317\) 1.90330 + 1.09887i 0.106900 + 0.0617186i 0.552497 0.833515i \(-0.313675\pi\)
−0.445597 + 0.895234i \(0.647009\pi\)
\(318\) −8.58802 10.4844i −0.481592 0.587939i
\(319\) −3.67953 + 2.12438i −0.206014 + 0.118942i
\(320\) 11.1241 6.42248i 0.621853 0.359027i
\(321\) −22.9504 8.66234i −1.28096 0.483485i
\(322\) −1.33065 + 2.30476i −0.0741544 + 0.128439i
\(323\) 5.26116i 0.292739i
\(324\) −20.7438 + 15.7947i −1.15243 + 0.877485i
\(325\) 2.76758 2.31095i 0.153518 0.128188i
\(326\) −19.1049 + 33.0907i −1.05812 + 1.83273i
\(327\) −0.412029 + 1.09165i −0.0227853 + 0.0603683i
\(328\) −3.45517 5.98453i −0.190780 0.330440i
\(329\) 2.56284 + 4.43897i 0.141294 + 0.244728i
\(330\) 2.97230 + 3.62865i 0.163620 + 0.199751i
\(331\) 11.9839 + 6.91890i 0.658694 + 0.380297i 0.791779 0.610807i \(-0.209155\pi\)
−0.133085 + 0.991105i \(0.542488\pi\)
\(332\) 4.23374i 0.232357i
\(333\) −22.9756 + 26.1003i −1.25905 + 1.43029i
\(334\) 43.8661 2.40025
\(335\) 2.60634 4.51431i 0.142400 0.246643i
\(336\) 2.53636 0.416327i 0.138370 0.0227125i
\(337\) 6.57730 + 11.3922i 0.358289 + 0.620574i 0.987675 0.156518i \(-0.0500271\pi\)
−0.629386 + 0.777092i \(0.716694\pi\)
\(338\) −9.70893 27.0799i −0.528096 1.47295i
\(339\) 4.61698 + 28.1277i 0.250760 + 1.52769i
\(340\) −3.11334 1.79749i −0.168845 0.0974825i
\(341\) −2.42707 −0.131433
\(342\) 26.6687 8.99741i 1.44208 0.486524i
\(343\) 13.6360i 0.736277i
\(344\) 8.84015 + 5.10386i 0.476629 + 0.275182i
\(345\) −1.24667 1.52196i −0.0671183 0.0819395i
\(346\) 13.6694 7.89201i 0.734870 0.424277i
\(347\) −0.354154 0.613413i −0.0190120 0.0329297i 0.856363 0.516374i \(-0.172719\pi\)
−0.875375 + 0.483445i \(0.839385\pi\)
\(348\) 16.2982 + 6.15155i 0.873674 + 0.329758i
\(349\) −21.1121 12.1891i −1.13010 0.652466i −0.186143 0.982523i \(-0.559599\pi\)
−0.943961 + 0.330057i \(0.892932\pi\)
\(350\) −2.34299 −0.125238
\(351\) 2.55134 + 18.5605i 0.136180 + 0.990684i
\(352\) 8.65373 0.461245
\(353\) −19.1694 11.0675i −1.02029 0.589063i −0.106100 0.994356i \(-0.533836\pi\)
−0.914187 + 0.405293i \(0.867170\pi\)
\(354\) 0.965356 + 0.364362i 0.0513081 + 0.0193656i
\(355\) −2.68105 4.64372i −0.142296 0.246463i
\(356\) 41.2655 23.8247i 2.18707 1.26270i
\(357\) −1.44207 1.76052i −0.0763227 0.0931764i
\(358\) 17.2898 + 9.98225i 0.913793 + 0.527578i
\(359\) 2.42368i 0.127917i −0.997953 0.0639586i \(-0.979627\pi\)
0.997953 0.0639586i \(-0.0203725\pi\)
\(360\) 1.17257 5.83801i 0.0617999 0.307690i
\(361\) 1.02566 0.0539819
\(362\) −5.91911 3.41740i −0.311102 0.179615i
\(363\) −2.66589 16.2412i −0.139923 0.852443i
\(364\) −3.80744 + 10.3830i −0.199564 + 0.544218i
\(365\) −4.04970 7.01428i −0.211971 0.367144i
\(366\) −42.4361 + 6.96560i −2.21817 + 0.364098i
\(367\) −0.0405583 + 0.0702491i −0.00211713 + 0.00366697i −0.867082 0.498165i \(-0.834007\pi\)
0.864965 + 0.501832i \(0.167341\pi\)
\(368\) −1.59199 −0.0829885
\(369\) 10.2400 + 2.05672i 0.533075 + 0.107069i
\(370\) 25.6492i 1.33344i
\(371\) 3.24222 + 1.87190i 0.168328 + 0.0971840i
\(372\) 6.30586 + 7.69834i 0.326944 + 0.399140i
\(373\) 4.12234 + 7.14011i 0.213447 + 0.369701i 0.952791 0.303627i \(-0.0981977\pi\)
−0.739344 + 0.673328i \(0.764864\pi\)
\(374\) −1.68032 2.91040i −0.0868874 0.150493i
\(375\) 0.611626 1.62047i 0.0315842 0.0836806i
\(376\) 4.80447 8.32159i 0.247772 0.429153i
\(377\) 9.60856 8.02321i 0.494866 0.413216i
\(378\) 6.45786 10.3206i 0.332156 0.530835i
\(379\) 28.1019i 1.44350i 0.692154 + 0.721749i \(0.256662\pi\)
−0.692154 + 0.721749i \(0.743338\pi\)
\(380\) −6.14098 + 10.6365i −0.315026 + 0.545640i
\(381\) −30.3280 11.4469i −1.55375 0.586445i
\(382\) −39.3008 + 22.6903i −2.01080 + 1.16094i
\(383\) 6.71744 3.87831i 0.343245 0.198173i −0.318461 0.947936i \(-0.603166\pi\)
0.661706 + 0.749763i \(0.269833\pi\)
\(384\) −15.6753 19.1368i −0.799929 0.976571i
\(385\) −1.12213 0.647860i −0.0571889 0.0330180i
\(386\) 12.0866 0.615190
\(387\) −14.6188 + 4.93203i −0.743113 + 0.250709i
\(388\) 11.8335i 0.600754i
\(389\) 14.9645 25.9193i 0.758732 1.31416i −0.184765 0.982783i \(-0.559152\pi\)
0.943497 0.331380i \(-0.107514\pi\)
\(390\) −10.4588 9.03298i −0.529602 0.457403i
\(391\) 0.704774 + 1.22070i 0.0356420 + 0.0617337i
\(392\) −10.1056 + 5.83450i −0.510412 + 0.294687i
\(393\) 4.06495 + 24.7646i 0.205049 + 1.24921i
\(394\) −11.4818 + 19.8871i −0.578445 + 1.00190i
\(395\) 7.47210i 0.375962i
\(396\) 7.02751 7.98327i 0.353146 0.401174i
\(397\) 36.7191i 1.84288i −0.388524 0.921439i \(-0.627015\pi\)
0.388524 0.921439i \(-0.372985\pi\)
\(398\) 48.1384 + 27.7927i 2.41296 + 1.39312i
\(399\) −6.01467 + 4.92673i −0.301110 + 0.246645i
\(400\) −0.700788 1.21380i −0.0350394 0.0606900i
\(401\) 18.1252 10.4646i 0.905127 0.522576i 0.0262672 0.999655i \(-0.491638\pi\)
0.878860 + 0.477079i \(0.158305\pi\)
\(402\) −18.6924 7.05521i −0.932290 0.351882i
\(403\) 7.04505 1.22476i 0.350939 0.0610095i
\(404\) −38.3116 −1.90607
\(405\) 5.45219 + 7.16056i 0.270922 + 0.355811i
\(406\) −8.13444 −0.403705
\(407\) 7.09227 12.2842i 0.351551 0.608904i
\(408\) −1.50651 + 3.99142i −0.0745835 + 0.197605i
\(409\) −17.5031 + 10.1054i −0.865471 + 0.499680i −0.865840 0.500320i \(-0.833216\pi\)
0.000369696 1.00000i \(0.499882\pi\)
\(410\) −6.67208 + 3.85213i −0.329511 + 0.190243i
\(411\) −1.31165 1.60129i −0.0646989 0.0789858i
\(412\) −3.17865 + 5.50559i −0.156601 + 0.271241i
\(413\) −0.285031 −0.0140254
\(414\) −4.98246 + 5.66009i −0.244875 + 0.278178i
\(415\) −1.46145 −0.0717396
\(416\) −25.1192 + 4.36688i −1.23157 + 0.214104i
\(417\) 1.78888 + 10.8983i 0.0876018 + 0.533691i
\(418\) −9.94316 + 5.74069i −0.486336 + 0.280786i
\(419\) 14.1445 + 24.4990i 0.691004 + 1.19685i 0.971509 + 0.237002i \(0.0761647\pi\)
−0.280505 + 0.959852i \(0.590502\pi\)
\(420\) 0.860516 + 5.24247i 0.0419889 + 0.255806i
\(421\) −18.6160 10.7480i −0.907289 0.523824i −0.0277313 0.999615i \(-0.508828\pi\)
−0.879558 + 0.475792i \(0.842162\pi\)
\(422\) 24.6105i 1.19802i
\(423\) 4.64272 + 13.7612i 0.225737 + 0.669094i
\(424\) 7.01837i 0.340842i
\(425\) −0.620476 + 1.07470i −0.0300975 + 0.0521304i
\(426\) −15.8992 + 13.0234i −0.770321 + 0.630985i
\(427\) 10.2878 5.93967i 0.497862 0.287441i
\(428\) −20.5145 35.5321i −0.991605 1.71751i
\(429\) −2.51132 7.21813i −0.121248 0.348495i
\(430\) 5.69024 9.85578i 0.274408 0.475288i
\(431\) 34.6370i 1.66841i 0.551457 + 0.834204i \(0.314072\pi\)
−0.551457 + 0.834204i \(0.685928\pi\)
\(432\) 7.27821 + 0.258640i 0.350173 + 0.0124438i
\(433\) 36.2199 1.74062 0.870308 0.492508i \(-0.163920\pi\)
0.870308 + 0.492508i \(0.163920\pi\)
\(434\) −4.02419 2.32337i −0.193167 0.111525i
\(435\) 2.12346 5.62598i 0.101812 0.269745i
\(436\) −1.69011 + 0.975784i −0.0809415 + 0.0467316i
\(437\) 4.17044 2.40781i 0.199499 0.115181i
\(438\) −24.0156 + 19.6716i −1.14751 + 0.939948i
\(439\) 3.62173 6.27302i 0.172856 0.299395i −0.766561 0.642171i \(-0.778034\pi\)
0.939417 + 0.342776i \(0.111367\pi\)
\(440\) 2.42905i 0.115800i
\(441\) 3.47304 17.2916i 0.165383 0.823410i
\(442\) 6.34612 + 7.60009i 0.301854 + 0.361499i
\(443\) −13.9973 + 24.2440i −0.665031 + 1.15187i 0.314246 + 0.949341i \(0.398248\pi\)
−0.979277 + 0.202525i \(0.935085\pi\)
\(444\) −57.3904 + 9.42025i −2.72363 + 0.447065i
\(445\) −8.22405 14.2445i −0.389857 0.675253i
\(446\) −14.0631 24.3581i −0.665909 1.15339i
\(447\) −28.5643 + 4.68863i −1.35104 + 0.221765i
\(448\) 11.7780 + 6.80001i 0.556456 + 0.321270i
\(449\) 32.0442i 1.51226i −0.654421 0.756130i \(-0.727088\pi\)
0.654421 0.756130i \(-0.272912\pi\)
\(450\) −6.50873 1.30729i −0.306824 0.0616260i
\(451\) −4.26061 −0.200625
\(452\) −23.8374 + 41.2875i −1.12122 + 1.94200i
\(453\) −8.14887 9.94832i −0.382867 0.467413i
\(454\) 16.4186 + 28.4379i 0.770564 + 1.33466i
\(455\) 3.58412 + 1.31429i 0.168026 + 0.0616149i
\(456\) 13.6364 + 5.14688i 0.638581 + 0.241025i
\(457\) −22.0113 12.7083i −1.02965 0.594467i −0.112763 0.993622i \(-0.535970\pi\)
−0.916883 + 0.399155i \(0.869304\pi\)
\(458\) −22.0180 −1.02884
\(459\) −3.02374 5.69526i −0.141136 0.265832i
\(460\) 3.29053i 0.153422i
\(461\) 7.27198 + 4.19848i 0.338690 + 0.195543i 0.659692 0.751536i \(-0.270687\pi\)
−0.321003 + 0.947078i \(0.604020\pi\)
\(462\) −1.75372 + 4.64638i −0.0815904 + 0.216169i
\(463\) 13.3439 7.70412i 0.620145 0.358041i −0.156780 0.987634i \(-0.550111\pi\)
0.776926 + 0.629592i \(0.216778\pi\)
\(464\) −2.43301 4.21410i −0.112950 0.195635i
\(465\) 2.65739 2.17672i 0.123234 0.100943i
\(466\) −27.2237 15.7176i −1.26112 0.728105i
\(467\) 30.0028 1.38836 0.694182 0.719800i \(-0.255766\pi\)
0.694182 + 0.719800i \(0.255766\pi\)
\(468\) −16.3702 + 26.7193i −0.756712 + 1.23510i
\(469\) 5.51910 0.254848
\(470\) −9.27764 5.35645i −0.427946 0.247075i
\(471\) −3.73362 22.7461i −0.172036 1.04808i
\(472\) 0.267169 + 0.462750i 0.0122975 + 0.0212998i
\(473\) 5.45045 3.14682i 0.250612 0.144691i
\(474\) −28.2614 + 4.63891i −1.29809 + 0.213072i
\(475\) 3.67162 + 2.11981i 0.168465 + 0.0972635i
\(476\) 3.80630i 0.174462i
\(477\) 7.96233 + 7.00908i 0.364570 + 0.320924i
\(478\) 19.4925 0.891566
\(479\) −0.742880 0.428902i −0.0339431 0.0195970i 0.482932 0.875658i \(-0.339572\pi\)
−0.516876 + 0.856061i \(0.672905\pi\)
\(480\) −9.47495 + 7.76112i −0.432470 + 0.354245i
\(481\) −14.3878 + 39.2361i −0.656028 + 1.78901i
\(482\) 25.9127 + 44.8822i 1.18029 + 2.04433i
\(483\) 0.735559 1.94882i 0.0334691 0.0886745i
\(484\) 13.7639 23.8398i 0.625633 1.08363i
\(485\) 4.08481 0.185482
\(486\) 23.6981 25.0671i 1.07497 1.13706i
\(487\) 19.2888i 0.874058i 0.899448 + 0.437029i \(0.143969\pi\)
−0.899448 + 0.437029i \(0.856031\pi\)
\(488\) −19.2862 11.1349i −0.873047 0.504054i
\(489\) 10.5608 27.9803i 0.477578 1.26531i
\(490\) 6.50481 + 11.2667i 0.293857 + 0.508976i
\(491\) −8.18301 14.1734i −0.369294 0.639636i 0.620161 0.784474i \(-0.287067\pi\)
−0.989455 + 0.144838i \(0.953734\pi\)
\(492\) 11.0697 + 13.5141i 0.499059 + 0.609262i
\(493\) −2.15418 + 3.73116i −0.0970196 + 0.168043i
\(494\) 25.9651 21.6810i 1.16822 0.975476i
\(495\) −2.75575 2.42583i −0.123862 0.109033i
\(496\) 2.77968i 0.124811i
\(497\) 2.83866 4.91670i 0.127331 0.220544i
\(498\) 0.907311 + 5.52756i 0.0406576 + 0.247696i
\(499\) −23.1110 + 13.3432i −1.03459 + 0.597322i −0.918297 0.395892i \(-0.870435\pi\)
−0.116296 + 0.993215i \(0.537102\pi\)
\(500\) 2.50883 1.44848i 0.112198 0.0647778i
\(501\) −33.8808 + 5.56131i −1.51368 + 0.248461i
\(502\) −14.3258 8.27098i −0.639390 0.369152i
\(503\) −29.6619 −1.32256 −0.661280 0.750139i \(-0.729987\pi\)
−0.661280 + 0.750139i \(0.729987\pi\)
\(504\) 5.97382 2.01543i 0.266095 0.0897742i
\(505\) 13.2248i 0.588495i
\(506\) 1.53802 2.66393i 0.0683734 0.118426i
\(507\) 10.9320 + 19.6848i 0.485509 + 0.874232i
\(508\) −27.1091 46.9543i −1.20277 2.08326i
\(509\) −4.38296 + 2.53051i −0.194271 + 0.112163i −0.593981 0.804479i \(-0.702444\pi\)
0.399709 + 0.916642i \(0.369111\pi\)
\(510\) 4.44998 + 1.67959i 0.197049 + 0.0743736i
\(511\) 4.28775 7.42660i 0.189679 0.328533i
\(512\) 15.4748i 0.683898i
\(513\) −19.4574 + 10.3304i −0.859066 + 0.456096i
\(514\) 6.00545i 0.264889i
\(515\) 1.90048 + 1.09724i 0.0837450 + 0.0483502i
\(516\) −24.1423 9.11222i −1.06281 0.401143i
\(517\) −2.96223 5.13073i −0.130279 0.225649i
\(518\) 23.5186 13.5785i 1.03335 0.596603i
\(519\) −9.55725 + 7.82853i −0.419517 + 0.343634i
\(520\) −1.22576 7.05079i −0.0537529 0.309198i
\(521\) 14.4458 0.632881 0.316441 0.948612i \(-0.397512\pi\)
0.316441 + 0.948612i \(0.397512\pi\)
\(522\) −22.5972 4.53867i −0.989051 0.198652i
\(523\) 29.4092 1.28597 0.642987 0.765877i \(-0.277695\pi\)
0.642987 + 0.765877i \(0.277695\pi\)
\(524\) −20.9872 + 36.3510i −0.916832 + 1.58800i
\(525\) 1.80965 0.297042i 0.0789796 0.0129640i
\(526\) 43.4083 25.0618i 1.89269 1.09275i
\(527\) −2.13139 + 1.23056i −0.0928450 + 0.0536041i
\(528\) −2.93163 + 0.481207i −0.127583 + 0.0209418i
\(529\) 10.8549 18.8013i 0.471953 0.817446i
\(530\) −7.82470 −0.339883
\(531\) −0.791804 0.159035i −0.0343614 0.00690152i
\(532\) −13.0039 −0.563792
\(533\) 12.3673 2.15001i 0.535686 0.0931272i
\(534\) −48.7704 + 39.9488i −2.11050 + 1.72875i
\(535\) −12.2654 + 7.08140i −0.530277 + 0.306156i
\(536\) −5.17324 8.96032i −0.223450 0.387027i
\(537\) −14.6196 5.51800i −0.630883 0.238119i
\(538\) 41.8759 + 24.1771i 1.80540 + 1.04235i
\(539\) 7.19459i 0.309893i
\(540\) −0.534590 + 15.0435i −0.0230051 + 0.647369i
\(541\) 27.4422i 1.17983i 0.807465 + 0.589915i \(0.200839\pi\)
−0.807465 + 0.589915i \(0.799161\pi\)
\(542\) 14.9723 25.9328i 0.643116 1.11391i
\(543\) 5.00499 + 1.88907i 0.214785 + 0.0810679i
\(544\) 7.59949 4.38757i 0.325826 0.188115i
\(545\) 0.336831 + 0.583409i 0.0144283 + 0.0249905i
\(546\) 2.74584 14.3720i 0.117511 0.615065i
\(547\) −10.0951 + 17.4852i −0.431635 + 0.747614i −0.997014 0.0772173i \(-0.975396\pi\)
0.565379 + 0.824831i \(0.308730\pi\)
\(548\) 3.46205i 0.147891i
\(549\) 31.8932 10.7600i 1.36117 0.459227i
\(550\) 2.70812 0.115474
\(551\) 12.7472 + 7.35960i 0.543049 + 0.313530i
\(552\) −3.85340 + 0.632510i −0.164012 + 0.0269214i
\(553\) 6.85142 3.95567i 0.291352 0.168212i
\(554\) 0.0594104 0.0343006i 0.00252411 0.00145729i
\(555\) 3.25178 + 19.8106i 0.138030 + 0.840914i
\(556\) −9.23595 + 15.9971i −0.391692 + 0.678430i
\(557\) 4.02815i 0.170678i −0.996352 0.0853391i \(-0.972803\pi\)
0.996352 0.0853391i \(-0.0271974\pi\)
\(558\) −9.88271 8.69955i −0.418368 0.368281i
\(559\) −14.2330 + 11.8847i −0.601994 + 0.502669i
\(560\) 0.741983 1.28515i 0.0313545 0.0543076i
\(561\) 1.66681 + 2.03487i 0.0703726 + 0.0859124i
\(562\) −12.6699 21.9450i −0.534449 0.925693i
\(563\) −18.1141 31.3746i −0.763419 1.32228i −0.941078 0.338188i \(-0.890186\pi\)
0.177659 0.984092i \(-0.443147\pi\)
\(564\) −8.57770 + 22.7261i −0.361186 + 0.956943i
\(565\) 14.2521 + 8.22843i 0.599589 + 0.346173i
\(566\) 70.4057i 2.95937i
\(567\) −3.67941 + 8.79004i −0.154521 + 0.369147i
\(568\) −10.6431 −0.446574
\(569\) 4.33283 7.50468i 0.181642 0.314613i −0.760798 0.648989i \(-0.775192\pi\)
0.942440 + 0.334376i \(0.108526\pi\)
\(570\) 5.73819 15.2030i 0.240346 0.636784i
\(571\) 19.0500 + 32.9956i 0.797219 + 1.38082i 0.921421 + 0.388567i \(0.127030\pi\)
−0.124202 + 0.992257i \(0.539637\pi\)
\(572\) 4.40078 12.0011i 0.184006 0.501791i
\(573\) 27.4780 22.5078i 1.14791 0.940277i
\(574\) −7.06429 4.07857i −0.294858 0.170236i
\(575\) −1.13586 −0.0473686
\(576\) 28.9246 + 25.4618i 1.20519 + 1.06091i
\(577\) 4.98879i 0.207686i −0.994594 0.103843i \(-0.966886\pi\)
0.994594 0.103843i \(-0.0331140\pi\)
\(578\) 29.6281 + 17.1058i 1.23237 + 0.711508i
\(579\) −9.33528 + 1.53232i −0.387961 + 0.0636812i
\(580\) 8.71023 5.02885i 0.361673 0.208812i
\(581\) −0.773678 1.34005i −0.0320976 0.0555946i
\(582\) −2.53598 15.4498i −0.105120 0.640413i
\(583\) −3.74748 2.16361i −0.155205 0.0896076i
\(584\) −16.0762 −0.665239
\(585\) 9.22324 + 5.65083i 0.381334 + 0.233633i
\(586\) −63.2676 −2.61356
\(587\) 30.8788 + 17.8279i 1.27450 + 0.735835i 0.975832 0.218521i \(-0.0701232\pi\)
0.298671 + 0.954356i \(0.403457\pi\)
\(588\) 22.8203 18.6925i 0.941092 0.770868i
\(589\) 4.20411 + 7.28174i 0.173228 + 0.300039i
\(590\) 0.515915 0.297864i 0.0212399 0.0122628i
\(591\) 6.34692 16.8158i 0.261078 0.691710i
\(592\) 14.0688 + 8.12264i 0.578225 + 0.333839i
\(593\) 4.39457i 0.180463i 0.995921 + 0.0902317i \(0.0287608\pi\)
−0.995921 + 0.0902317i \(0.971239\pi\)
\(594\) −7.46424 + 11.9290i −0.306262 + 0.489451i
\(595\) −1.31390 −0.0538646
\(596\) −41.9283 24.2073i −1.71745 0.991571i
\(597\) −40.7041 15.3633i −1.66591 0.628777i
\(598\) −3.12013 + 8.50870i −0.127591 + 0.347947i
\(599\) −19.6062 33.9589i −0.801088 1.38752i −0.918901 0.394489i \(-0.870922\pi\)
0.117813 0.993036i \(-0.462412\pi\)
\(600\) −2.17850 2.65956i −0.0889368 0.108576i
\(601\) 17.9811 31.1443i 0.733466 1.27040i −0.221927 0.975063i \(-0.571235\pi\)
0.955393 0.295338i \(-0.0954321\pi\)
\(602\) 12.0495 0.491099
\(603\) 15.3318 + 3.07942i 0.624361 + 0.125404i
\(604\) 21.5087i 0.875175i
\(605\) −8.22928 4.75118i −0.334568 0.193163i
\(606\) 50.0195 8.21036i 2.03190 0.333523i
\(607\) −6.31059 10.9303i −0.256139 0.443645i 0.709065 0.705143i \(-0.249117\pi\)
−0.965204 + 0.261497i \(0.915784\pi\)
\(608\) −14.9898 25.9631i −0.607916 1.05294i
\(609\) 6.28279 1.03128i 0.254591 0.0417895i
\(610\) −12.4142 + 21.5020i −0.502635 + 0.870590i
\(611\) 11.1875 + 13.3981i 0.452599 + 0.542031i
\(612\) 2.12375 10.5738i 0.0858476 0.427419i
\(613\) 13.6583i 0.551652i 0.961208 + 0.275826i \(0.0889513\pi\)
−0.961208 + 0.275826i \(0.911049\pi\)
\(614\) −5.47821 + 9.48854i −0.221083 + 0.382926i
\(615\) 4.66494 3.82114i 0.188108 0.154083i
\(616\) −2.22727 + 1.28592i −0.0897395 + 0.0518111i
\(617\) −10.1696 + 5.87142i −0.409413 + 0.236375i −0.690537 0.723297i \(-0.742626\pi\)
0.281125 + 0.959671i \(0.409293\pi\)
\(618\) 2.97016 7.86928i 0.119478 0.316549i
\(619\) 15.4901 + 8.94321i 0.622600 + 0.359458i 0.777880 0.628412i \(-0.216295\pi\)
−0.155281 + 0.987870i \(0.549628\pi\)
\(620\) 5.74538 0.230740
\(621\) 3.13071 5.00334i 0.125631 0.200777i
\(622\) 2.82550i 0.113292i
\(623\) 8.70749 15.0818i 0.348858 0.604240i
\(624\) 8.26680 2.87617i 0.330937 0.115139i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −29.4170 + 16.9839i −1.17574 + 0.678814i
\(627\) 6.95199 5.69451i 0.277636 0.227417i
\(628\) 19.2766 33.3880i 0.769220 1.33233i
\(629\) 14.3835i 0.573509i
\(630\) −2.24697 6.66014i −0.0895216 0.265346i
\(631\) 40.4209i 1.60913i 0.593864 + 0.804565i \(0.297602\pi\)
−0.593864 + 0.804565i \(0.702398\pi\)
\(632\) −12.8441 7.41557i −0.510913 0.294976i
\(633\) −3.12010 19.0084i −0.124013 0.755516i
\(634\) −2.43169 4.21181i −0.0965748 0.167272i
\(635\) −16.2082 + 9.35780i −0.643202 + 0.371353i
\(636\) 2.87380 + 17.5079i 0.113954 + 0.694232i
\(637\) −3.63056 20.8837i −0.143848 0.827443i
\(638\) 9.40210 0.372233
\(639\) 10.6290 12.0745i 0.420476 0.477662i
\(640\) −14.2821 −0.564549
\(641\) 17.7262 30.7027i 0.700143 1.21268i −0.268273 0.963343i \(-0.586453\pi\)
0.968416 0.249340i \(-0.0802137\pi\)
\(642\) 34.3984 + 41.9943i 1.35759 + 1.65738i
\(643\) 28.5026 16.4560i 1.12403 0.648961i 0.181606 0.983371i \(-0.441870\pi\)
0.942428 + 0.334410i \(0.108537\pi\)
\(644\) 3.01720 1.74198i 0.118894 0.0686436i
\(645\) −3.14545 + 8.33370i −0.123852 + 0.328139i
\(646\) −5.82123 + 10.0827i −0.229033 + 0.396697i
\(647\) −37.7889 −1.48564 −0.742818 0.669494i \(-0.766511\pi\)
−0.742818 + 0.669494i \(0.766511\pi\)
\(648\) 17.7196 2.26564i 0.696090 0.0890029i
\(649\) 0.329450 0.0129320
\(650\) −7.86084 + 1.36658i −0.308328 + 0.0536017i
\(651\) 3.40271 + 1.28431i 0.133363 + 0.0503362i
\(652\) 43.3196 25.0106i 1.69653 0.979490i
\(653\) 11.3362 + 19.6348i 0.443618 + 0.768369i 0.997955 0.0639234i \(-0.0203613\pi\)
−0.554337 + 0.832292i \(0.687028\pi\)
\(654\) 1.99748 1.63618i 0.0781078 0.0639797i
\(655\) 12.5480 + 7.24460i 0.490291 + 0.283070i
\(656\) 4.87960i 0.190517i
\(657\) 16.0549 18.2384i 0.626362 0.711549i
\(658\) 11.3426i 0.442182i
\(659\) 24.4766 42.3947i 0.953472 1.65146i 0.215646 0.976472i \(-0.430814\pi\)
0.737827 0.674990i \(-0.235852\pi\)
\(660\) −0.994618 6.05945i −0.0387154 0.235864i
\(661\) 30.9756 17.8838i 1.20481 0.695597i 0.243189 0.969979i \(-0.421806\pi\)
0.961621 + 0.274381i \(0.0884731\pi\)
\(662\) −15.3109 26.5192i −0.595074 1.03070i
\(663\) −5.86508 5.06551i −0.227781 0.196728i
\(664\) −1.45039 + 2.51215i −0.0562860 + 0.0974903i
\(665\) 4.48883i 0.174070i
\(666\) 72.9099 24.5981i 2.82520 0.953157i
\(667\) −3.94351 −0.152693
\(668\) −49.7322 28.7129i −1.92420 1.11094i
\(669\) 13.9500 + 17.0305i 0.539339 + 0.658437i
\(670\) −9.98975 + 5.76758i −0.385938 + 0.222821i
\(671\) −11.8910 + 6.86530i −0.459049 + 0.265032i
\(672\) −12.1324 4.57922i −0.468017 0.176647i
\(673\) 15.0753 26.1112i 0.581111 1.00651i −0.414237 0.910169i \(-0.635952\pi\)
0.995348 0.0963447i \(-0.0307151\pi\)
\(674\) 29.1099i 1.12127i
\(675\) 5.19287 + 0.184535i 0.199874 + 0.00710277i
\(676\) −6.71810 + 37.0563i −0.258388 + 1.42524i
\(677\) −8.73261 + 15.1253i −0.335621 + 0.581313i −0.983604 0.180342i \(-0.942280\pi\)
0.647983 + 0.761655i \(0.275613\pi\)
\(678\) 22.2739 59.0133i 0.855423 2.26639i
\(679\) 2.16246 + 3.74550i 0.0829877 + 0.143739i
\(680\) 1.23156 + 2.13313i 0.0472283 + 0.0818018i
\(681\) −16.2865 19.8830i −0.624102 0.761917i
\(682\) 4.65132 + 2.68544i 0.178108 + 0.102831i
\(683\) 20.0805i 0.768360i −0.923258 0.384180i \(-0.874484\pi\)
0.923258 0.384180i \(-0.125516\pi\)
\(684\) −36.1244 7.25563i −1.38125 0.277426i
\(685\) −1.19507 −0.0456612
\(686\) −15.0876 + 26.1326i −0.576049 + 0.997746i
\(687\) 17.0060 2.79143i 0.648821 0.106500i
\(688\) 3.60399 + 6.24230i 0.137401 + 0.237986i
\(689\) 11.9696 + 4.38924i 0.456006 + 0.167217i
\(690\) 0.705177 + 4.29611i 0.0268456 + 0.163550i
\(691\) −15.6067 9.01055i −0.593708 0.342778i 0.172854 0.984947i \(-0.444701\pi\)
−0.766562 + 0.642170i \(0.778034\pi\)
\(692\) −20.6631 −0.785494
\(693\) 0.765454 3.81105i 0.0290772 0.144770i
\(694\) 1.56742i 0.0594984i
\(695\) 5.52206 + 3.18816i 0.209464 + 0.120934i
\(696\) −7.56336 9.23352i −0.286688 0.349996i
\(697\) −3.74157 + 2.16020i −0.141722 + 0.0818232i
\(698\) 26.9733 + 46.7191i 1.02095 + 1.76834i
\(699\) 23.0194 + 8.68840i 0.870675 + 0.328626i
\(700\) 2.65631 + 1.53362i 0.100399 + 0.0579655i
\(701\) 23.9457 0.904417 0.452209 0.891912i \(-0.350636\pi\)
0.452209 + 0.891912i \(0.350636\pi\)
\(702\) 15.6468 38.3928i 0.590550 1.44904i
\(703\) −49.1402 −1.85336
\(704\) −13.6134 7.85972i −0.513075 0.296224i
\(705\) 7.84484 + 2.96094i 0.295454 + 0.111516i
\(706\) 24.4913 + 42.4202i 0.921742 + 1.59650i
\(707\) −12.1262 + 7.00109i −0.456054 + 0.263303i
\(708\) −0.855955 1.04497i −0.0321688 0.0392724i
\(709\) −38.8600 22.4358i −1.45942 0.842595i −0.460434 0.887694i \(-0.652306\pi\)
−0.998983 + 0.0450989i \(0.985640\pi\)
\(710\) 11.8658i 0.445317i
\(711\) 21.2401 7.16590i 0.796565 0.268742i
\(712\) −32.6473 −1.22351
\(713\) −1.95089 1.12635i −0.0730615 0.0421821i
\(714\) 0.815710 + 4.96950i 0.0305272 + 0.185979i
\(715\) −4.14267 1.51911i −0.154927 0.0568114i
\(716\) −13.0679 22.6343i −0.488371 0.845884i
\(717\) −15.0554 + 2.47124i −0.562254 + 0.0922902i
\(718\) −2.68169 + 4.64483i −0.100080 + 0.173343i
\(719\) 4.04721 0.150935 0.0754677 0.997148i \(-0.475955\pi\)
0.0754677 + 0.997148i \(0.475955\pi\)
\(720\) 2.77826 3.15611i 0.103540 0.117621i
\(721\) 2.32348i 0.0865309i
\(722\) −1.96560 1.13484i −0.0731521 0.0422344i
\(723\) −25.7043 31.3804i −0.955953 1.16705i
\(724\) 4.47378 + 7.74881i 0.166267 + 0.287982i
\(725\) −1.73591 3.00669i −0.0644702 0.111666i
\(726\) −12.8612 + 34.0749i −0.477322 + 1.26464i
\(727\) −17.0401 + 29.5143i −0.631981 + 1.09462i 0.355165 + 0.934804i \(0.384425\pi\)
−0.987146 + 0.159820i \(0.948909\pi\)
\(728\) 5.81620 4.85657i 0.215563 0.179996i
\(729\) −15.1257 + 22.3654i −0.560212 + 0.828349i
\(730\) 17.9232i 0.663367i
\(731\) 3.19097 5.52692i 0.118022 0.204421i
\(732\) 52.6704 + 19.8798i 1.94675 + 0.734779i
\(733\) −16.5146 + 9.53474i −0.609982 + 0.352174i −0.772959 0.634456i \(-0.781224\pi\)
0.162976 + 0.986630i \(0.447891\pi\)
\(734\) 0.155455 0.0897518i 0.00573794 0.00331280i
\(735\) −6.45249 7.87734i −0.238004 0.290560i
\(736\) 6.95592 + 4.01600i 0.256398 + 0.148032i
\(737\) −6.37919 −0.234980
\(738\) −17.3487 15.2717i −0.638613 0.562158i
\(739\) 46.8060i 1.72179i 0.508786 + 0.860893i \(0.330094\pi\)
−0.508786 + 0.860893i \(0.669906\pi\)
\(740\) −16.7889 + 29.0792i −0.617172 + 1.06897i
\(741\) −17.3059 + 20.0376i −0.635749 + 0.736099i
\(742\) −4.14233 7.17473i −0.152070 0.263393i
\(743\) −16.5257 + 9.54111i −0.606269 + 0.350029i −0.771504 0.636225i \(-0.780495\pi\)
0.165235 + 0.986254i \(0.447162\pi\)
\(744\) −1.10438 6.72817i −0.0404887 0.246667i
\(745\) −8.35614 + 14.4733i −0.306145 + 0.530259i
\(746\) 18.2447i 0.667986i
\(747\) −1.40156 4.15428i −0.0512803 0.151997i
\(748\) 4.39947i 0.160861i
\(749\) −12.9863 7.49767i −0.474511 0.273959i
\(750\) −2.96511 + 2.42878i −0.108271 + 0.0886865i
\(751\) 14.0126 + 24.2705i 0.511326 + 0.885643i 0.999914 + 0.0131283i \(0.00417899\pi\)
−0.488587 + 0.872515i \(0.662488\pi\)
\(752\) 5.87613 3.39259i 0.214280 0.123715i
\(753\) 12.1133 + 4.57204i 0.441435 + 0.166614i
\(754\) −27.2915 + 4.74453i −0.993896 + 0.172785i
\(755\) −7.42458 −0.270208
\(756\) −14.0769 + 7.47372i −0.511972 + 0.271817i
\(757\) −2.77014 −0.100682 −0.0503412 0.998732i \(-0.516031\pi\)
−0.0503412 + 0.998732i \(0.516031\pi\)
\(758\) 31.0935 53.8554i 1.12937 1.95612i
\(759\) −0.850188 + 2.25252i −0.0308599 + 0.0817615i
\(760\) 7.28767 4.20754i 0.264352 0.152624i
\(761\) −24.7126 + 14.2678i −0.895831 + 0.517208i −0.875845 0.482592i \(-0.839695\pi\)
−0.0199856 + 0.999800i \(0.506362\pi\)
\(762\) 45.4561 + 55.4938i 1.64670 + 2.01033i
\(763\) −0.356631 + 0.617704i −0.0129109 + 0.0223624i
\(764\) 59.4086 2.14933
\(765\) −3.64996 0.733099i −0.131965 0.0265053i
\(766\) −17.1647 −0.620185
\(767\) −0.956292 + 0.166248i −0.0345297 + 0.00600287i
\(768\) 1.65945 + 10.1098i 0.0598803 + 0.364805i
\(769\) 43.3223 25.0121i 1.56224 0.901961i 0.565212 0.824946i \(-0.308794\pi\)
0.997030 0.0770150i \(-0.0245389\pi\)
\(770\) 1.43365 + 2.48316i 0.0516653 + 0.0894869i
\(771\) 0.761366 + 4.63842i 0.0274199 + 0.167049i
\(772\) −13.7029 7.91136i −0.493177 0.284736i
\(773\) 51.3118i 1.84556i 0.385332 + 0.922778i \(0.374087\pi\)
−0.385332 + 0.922778i \(0.625913\pi\)
\(774\) 33.4729 + 6.72307i 1.20316 + 0.241656i