Properties

Label 378.2.u.b.169.1
Level 378
Weight 2
Character 378.169
Analytic conductor 3.018
Analytic rank 0
Dimension 12
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 378.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: 12.0.1952986685049.1
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 169.1
Root \(0.500000 - 0.0126039i\)
Character \(\chi\) = 378.169
Dual form 378.2.u.b.85.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.04508 - 1.38124i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.108876 + 0.617467i) q^{5} +(1.45446 + 0.940501i) q^{6} +(0.766044 + 0.642788i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.815631 + 2.88700i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.04508 - 1.38124i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.108876 + 0.617467i) q^{5} +(1.45446 + 0.940501i) q^{6} +(0.766044 + 0.642788i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.815631 + 2.88700i) q^{9} +(-0.313496 - 0.542992i) q^{10} +(-0.0434396 + 0.246358i) q^{11} +(-1.68842 - 0.386327i) q^{12} +(3.98990 + 1.45220i) q^{13} +(-0.939693 - 0.342020i) q^{14} +(0.739085 - 0.795684i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.0870455 + 0.150767i) q^{17} +(-0.220968 - 2.99185i) q^{18} +(1.22610 - 2.12366i) q^{19} +(0.480304 + 0.403023i) q^{20} +(0.0872671 - 1.72985i) q^{21} +(-0.0434396 - 0.246358i) q^{22} +(0.0380340 - 0.0319143i) q^{23} +(1.71872 - 0.214444i) q^{24} +(4.32905 - 1.57565i) q^{25} -4.24596 q^{26} +(4.84002 - 1.89055i) q^{27} +1.00000 q^{28} +(0.635836 - 0.231425i) q^{29} +(-0.422372 + 1.00048i) q^{30} +(5.73496 - 4.81221i) q^{31} +(0.173648 + 0.984808i) q^{32} +(0.385677 - 0.197463i) q^{33} +(-0.133361 - 0.111904i) q^{34} +(-0.313496 + 0.542992i) q^{35} +(1.23092 + 2.73584i) q^{36} +(2.59919 + 4.50193i) q^{37} +(-0.425819 + 2.41494i) q^{38} +(-2.16391 - 7.02866i) q^{39} +(-0.589180 - 0.214444i) q^{40} +(11.3770 + 4.14090i) q^{41} +(0.509640 + 1.65538i) q^{42} +(0.237614 - 1.34758i) q^{43} +(0.125079 + 0.216644i) q^{44} +(-1.87143 - 0.189301i) q^{45} +(-0.0248249 + 0.0429980i) q^{46} +(0.339914 + 0.285222i) q^{47} +(-1.54173 + 0.789350i) q^{48} +(0.173648 + 0.984808i) q^{49} +(-3.52908 + 2.96125i) q^{50} +(0.117276 - 0.277794i) q^{51} +(3.98990 - 1.45220i) q^{52} -12.0962 q^{53} +(-3.90153 + 3.43192i) q^{54} -0.156848 q^{55} +(-0.939693 + 0.342020i) q^{56} +(-4.21465 + 0.525859i) q^{57} +(-0.518338 + 0.434937i) q^{58} +(0.847403 + 4.80586i) q^{59} +(0.0547159 - 1.08460i) q^{60} +(-2.13354 - 1.79025i) q^{61} +(-3.74323 + 6.48347i) q^{62} +(-2.48053 + 1.68729i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.462284 + 2.62174i) q^{65} +(-0.294882 + 0.317464i) q^{66} +(-3.13920 - 1.14257i) q^{67} +(0.163592 + 0.0595426i) q^{68} +(-0.0838296 - 0.0191810i) q^{69} +(0.108876 - 0.617467i) q^{70} +(-2.14487 - 3.71502i) q^{71} +(-2.09240 - 2.14986i) q^{72} +(-4.93331 + 8.54475i) q^{73} +(-3.98219 - 3.34146i) q^{74} +(-6.70053 - 4.33278i) q^{75} +(-0.425819 - 2.41494i) q^{76} +(-0.191633 + 0.160799i) q^{77} +(4.43735 + 5.86468i) q^{78} +(5.12170 - 1.86415i) q^{79} +0.626993 q^{80} +(-7.66949 - 4.70945i) q^{81} -12.1072 q^{82} +(5.81583 - 2.11679i) q^{83} +(-1.04508 - 1.38124i) q^{84} +(-0.0836166 + 0.0701627i) q^{85} +(0.237614 + 1.34758i) q^{86} +(-0.984150 - 0.636383i) q^{87} +(-0.191633 - 0.160799i) q^{88} +(3.53501 - 6.12282i) q^{89} +(1.82331 - 0.462182i) q^{90} +(2.12298 + 3.67711i) q^{91} +(0.00862160 - 0.0488955i) q^{92} +(-12.6403 - 2.89222i) q^{93} +(-0.416967 - 0.151763i) q^{94} +(1.44478 + 0.525859i) q^{95} +(1.17878 - 1.26905i) q^{96} +(-2.64647 + 15.0089i) q^{97} +(-0.500000 - 0.866025i) q^{98} +(-0.675805 - 0.326348i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + O(q^{10}) \) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + 3q^{11} - 6q^{12} + 12q^{13} + 9q^{15} - 9q^{18} + 12q^{19} - 9q^{20} + 3q^{21} + 3q^{22} + 12q^{23} + 3q^{24} - 24q^{25} - 18q^{26} + 18q^{27} + 12q^{28} - 3q^{29} + 21q^{31} - 27q^{33} + 9q^{34} + 15q^{37} + 15q^{38} - 48q^{39} + 9q^{40} + 12q^{41} + 3q^{42} + 21q^{43} + 12q^{44} - 9q^{45} - 6q^{46} + 12q^{47} + 3q^{48} + 21q^{50} - 9q^{51} + 12q^{52} - 42q^{53} - 27q^{54} - 12q^{55} + 33q^{57} - 3q^{58} + 18q^{59} - 18q^{60} + 9q^{62} + 9q^{63} - 6q^{64} - 36q^{65} - 9q^{66} - 33q^{67} - 18q^{68} + 9q^{69} + 24q^{71} - 18q^{72} + 9q^{73} - 36q^{74} - 33q^{75} + 15q^{76} + 3q^{77} - 21q^{78} + 9q^{81} - 24q^{82} + 15q^{83} + 3q^{84} - 24q^{85} + 21q^{86} + 3q^{88} - 51q^{89} + 9q^{91} - 6q^{92} - 30q^{93} - 15q^{94} - 45q^{95} + 3q^{96} + 48q^{97} - 6q^{98} + 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) −1.04508 1.38124i −0.603375 0.797458i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 0.108876 + 0.617467i 0.0486909 + 0.276140i 0.999426 0.0338632i \(-0.0107811\pi\)
−0.950736 + 0.310003i \(0.899670\pi\)
\(6\) 1.45446 + 0.940501i 0.593781 + 0.383958i
\(7\) 0.766044 + 0.642788i 0.289538 + 0.242951i
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −0.815631 + 2.88700i −0.271877 + 0.962332i
\(10\) −0.313496 0.542992i −0.0991362 0.171709i
\(11\) −0.0434396 + 0.246358i −0.0130975 + 0.0742798i −0.990656 0.136385i \(-0.956452\pi\)
0.977558 + 0.210665i \(0.0675628\pi\)
\(12\) −1.68842 0.386327i −0.487404 0.111523i
\(13\) 3.98990 + 1.45220i 1.10660 + 0.402769i 0.829745 0.558143i \(-0.188486\pi\)
0.276854 + 0.960912i \(0.410708\pi\)
\(14\) −0.939693 0.342020i −0.251143 0.0914087i
\(15\) 0.739085 0.795684i 0.190831 0.205445i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.0870455 + 0.150767i 0.0211116 + 0.0365664i 0.876388 0.481605i \(-0.159946\pi\)
−0.855277 + 0.518172i \(0.826613\pi\)
\(18\) −0.220968 2.99185i −0.0520827 0.705186i
\(19\) 1.22610 2.12366i 0.281286 0.487202i −0.690416 0.723413i \(-0.742572\pi\)
0.971702 + 0.236211i \(0.0759057\pi\)
\(20\) 0.480304 + 0.403023i 0.107399 + 0.0901187i
\(21\) 0.0872671 1.72985i 0.0190433 0.377484i
\(22\) −0.0434396 0.246358i −0.00926136 0.0525238i
\(23\) 0.0380340 0.0319143i 0.00793063 0.00665459i −0.638814 0.769361i \(-0.720575\pi\)
0.646744 + 0.762707i \(0.276130\pi\)
\(24\) 1.71872 0.214444i 0.350833 0.0437732i
\(25\) 4.32905 1.57565i 0.865810 0.315129i
\(26\) −4.24596 −0.832701
\(27\) 4.84002 1.89055i 0.931463 0.363837i
\(28\) 1.00000 0.188982
\(29\) 0.635836 0.231425i 0.118072 0.0429746i −0.282309 0.959324i \(-0.591100\pi\)
0.400380 + 0.916349i \(0.368878\pi\)
\(30\) −0.422372 + 1.00048i −0.0771143 + 0.182662i
\(31\) 5.73496 4.81221i 1.03003 0.864298i 0.0391754 0.999232i \(-0.487527\pi\)
0.990854 + 0.134935i \(0.0430825\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) 0.385677 0.197463i 0.0671378 0.0343739i
\(34\) −0.133361 0.111904i −0.0228713 0.0191913i
\(35\) −0.313496 + 0.542992i −0.0529905 + 0.0917823i
\(36\) 1.23092 + 2.73584i 0.205153 + 0.455974i
\(37\) 2.59919 + 4.50193i 0.427304 + 0.740113i 0.996633 0.0819975i \(-0.0261300\pi\)
−0.569328 + 0.822110i \(0.692797\pi\)
\(38\) −0.425819 + 2.41494i −0.0690770 + 0.391755i
\(39\) −2.16391 7.02866i −0.346503 1.12549i
\(40\) −0.589180 0.214444i −0.0931576 0.0339066i
\(41\) 11.3770 + 4.14090i 1.77679 + 0.646700i 0.999853 + 0.0171245i \(0.00545118\pi\)
0.776940 + 0.629575i \(0.216771\pi\)
\(42\) 0.509640 + 1.65538i 0.0786391 + 0.255430i
\(43\) 0.237614 1.34758i 0.0362358 0.205504i −0.961315 0.275452i \(-0.911172\pi\)
0.997551 + 0.0699486i \(0.0222835\pi\)
\(44\) 0.125079 + 0.216644i 0.0188564 + 0.0326603i
\(45\) −1.87143 0.189301i −0.278976 0.0282193i
\(46\) −0.0248249 + 0.0429980i −0.00366023 + 0.00633971i
\(47\) 0.339914 + 0.285222i 0.0495816 + 0.0416039i 0.667242 0.744841i \(-0.267475\pi\)
−0.617660 + 0.786445i \(0.711919\pi\)
\(48\) −1.54173 + 0.789350i −0.222529 + 0.113933i
\(49\) 0.173648 + 0.984808i 0.0248069 + 0.140687i
\(50\) −3.52908 + 2.96125i −0.499087 + 0.418783i
\(51\) 0.117276 0.277794i 0.0164219 0.0388989i
\(52\) 3.98990 1.45220i 0.553299 0.201384i
\(53\) −12.0962 −1.66154 −0.830771 0.556614i \(-0.812100\pi\)
−0.830771 + 0.556614i \(0.812100\pi\)
\(54\) −3.90153 + 3.43192i −0.530931 + 0.467025i
\(55\) −0.156848 −0.0211493
\(56\) −0.939693 + 0.342020i −0.125572 + 0.0457044i
\(57\) −4.21465 + 0.525859i −0.558244 + 0.0696517i
\(58\) −0.518338 + 0.434937i −0.0680611 + 0.0571101i
\(59\) 0.847403 + 4.80586i 0.110323 + 0.625670i 0.988960 + 0.148181i \(0.0473418\pi\)
−0.878638 + 0.477489i \(0.841547\pi\)
\(60\) 0.0547159 1.08460i 0.00706379 0.140022i
\(61\) −2.13354 1.79025i −0.273171 0.229218i 0.495902 0.868379i \(-0.334838\pi\)
−0.769073 + 0.639160i \(0.779282\pi\)
\(62\) −3.74323 + 6.48347i −0.475391 + 0.823401i
\(63\) −2.48053 + 1.68729i −0.312518 + 0.212579i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −0.462284 + 2.62174i −0.0573392 + 0.325187i
\(66\) −0.294882 + 0.317464i −0.0362974 + 0.0390771i
\(67\) −3.13920 1.14257i −0.383514 0.139588i 0.143066 0.989713i \(-0.454304\pi\)
−0.526580 + 0.850125i \(0.676526\pi\)
\(68\) 0.163592 + 0.0595426i 0.0198384 + 0.00722060i
\(69\) −0.0838296 0.0191810i −0.0100919 0.00230913i
\(70\) 0.108876 0.617467i 0.0130132 0.0738014i
\(71\) −2.14487 3.71502i −0.254549 0.440892i 0.710224 0.703976i \(-0.248594\pi\)
−0.964773 + 0.263084i \(0.915260\pi\)
\(72\) −2.09240 2.14986i −0.246591 0.253363i
\(73\) −4.93331 + 8.54475i −0.577401 + 1.00009i 0.418376 + 0.908274i \(0.362600\pi\)
−0.995776 + 0.0918132i \(0.970734\pi\)
\(74\) −3.98219 3.34146i −0.462920 0.388436i
\(75\) −6.70053 4.33278i −0.773710 0.500306i
\(76\) −0.425819 2.41494i −0.0488448 0.277013i
\(77\) −0.191633 + 0.160799i −0.0218386 + 0.0183247i
\(78\) 4.43735 + 5.86468i 0.502431 + 0.664044i
\(79\) 5.12170 1.86415i 0.576237 0.209733i −0.0374285 0.999299i \(-0.511917\pi\)
0.613665 + 0.789566i \(0.289694\pi\)
\(80\) 0.626993 0.0700999
\(81\) −7.66949 4.70945i −0.852166 0.523272i
\(82\) −12.1072 −1.33701
\(83\) 5.81583 2.11679i 0.638371 0.232348i −0.00249992 0.999997i \(-0.500796\pi\)
0.640871 + 0.767649i \(0.278574\pi\)
\(84\) −1.04508 1.38124i −0.114027 0.150705i
\(85\) −0.0836166 + 0.0701627i −0.00906950 + 0.00761021i
\(86\) 0.237614 + 1.34758i 0.0256226 + 0.145313i
\(87\) −0.984150 0.636383i −0.105512 0.0682274i
\(88\) −0.191633 0.160799i −0.0204281 0.0171412i
\(89\) 3.53501 6.12282i 0.374710 0.649017i −0.615573 0.788080i \(-0.711075\pi\)
0.990284 + 0.139062i \(0.0444088\pi\)
\(90\) 1.82331 0.462182i 0.192194 0.0487182i
\(91\) 2.12298 + 3.67711i 0.222549 + 0.385466i
\(92\) 0.00862160 0.0488955i 0.000898864 0.00509771i
\(93\) −12.6403 2.89222i −1.31074 0.299909i
\(94\) −0.416967 0.151763i −0.0430068 0.0156532i
\(95\) 1.44478 + 0.525859i 0.148232 + 0.0539520i
\(96\) 1.17878 1.26905i 0.120308 0.129522i
\(97\) −2.64647 + 15.0089i −0.268709 + 1.52392i 0.489554 + 0.871973i \(0.337159\pi\)
−0.758263 + 0.651949i \(0.773952\pi\)
\(98\) −0.500000 0.866025i −0.0505076 0.0874818i
\(99\) −0.675805 0.326348i −0.0679210 0.0327992i
\(100\) 2.30344 3.98968i 0.230344 0.398968i
\(101\) 1.89098 + 1.58672i 0.188159 + 0.157884i 0.732001 0.681303i \(-0.238586\pi\)
−0.543842 + 0.839188i \(0.683031\pi\)
\(102\) −0.0151924 + 0.301151i −0.00150427 + 0.0298184i
\(103\) −1.89237 10.7322i −0.186461 1.05747i −0.924064 0.382238i \(-0.875153\pi\)
0.737603 0.675235i \(-0.235958\pi\)
\(104\) −3.25259 + 2.72925i −0.318943 + 0.267625i
\(105\) 1.07763 0.134455i 0.105166 0.0131215i
\(106\) 11.3667 4.13715i 1.10403 0.401835i
\(107\) −16.4462 −1.58991 −0.794956 0.606667i \(-0.792506\pi\)
−0.794956 + 0.606667i \(0.792506\pi\)
\(108\) 2.49245 4.55935i 0.239836 0.438724i
\(109\) −14.2596 −1.36582 −0.682910 0.730502i \(-0.739286\pi\)
−0.682910 + 0.730502i \(0.739286\pi\)
\(110\) 0.147389 0.0536451i 0.0140530 0.00511486i
\(111\) 3.50188 8.29496i 0.332384 0.787323i
\(112\) 0.766044 0.642788i 0.0723844 0.0607377i
\(113\) 0.856231 + 4.85593i 0.0805475 + 0.456807i 0.998229 + 0.0594903i \(0.0189475\pi\)
−0.917681 + 0.397317i \(0.869941\pi\)
\(114\) 3.78062 1.93564i 0.354087 0.181289i
\(115\) 0.0238470 + 0.0200100i 0.00222374 + 0.00186594i
\(116\) 0.338321 0.585990i 0.0314123 0.0544078i
\(117\) −7.44679 + 10.3344i −0.688456 + 0.955412i
\(118\) −2.44000 4.22620i −0.224620 0.389054i
\(119\) −0.0302306 + 0.171446i −0.00277123 + 0.0157164i
\(120\) 0.319540 + 1.03791i 0.0291699 + 0.0947476i
\(121\) 10.2778 + 3.74082i 0.934347 + 0.340074i
\(122\) 2.61717 + 0.952572i 0.236948 + 0.0862418i
\(123\) −6.17030 20.0419i −0.556357 1.80712i
\(124\) 1.30001 7.37273i 0.116744 0.662090i
\(125\) 3.01172 + 5.21645i 0.269377 + 0.466574i
\(126\) 1.75385 2.43393i 0.156246 0.216831i
\(127\) −9.17226 + 15.8868i −0.813907 + 1.40973i 0.0962039 + 0.995362i \(0.469330\pi\)
−0.910110 + 0.414366i \(0.864003\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −2.10965 + 1.08012i −0.185744 + 0.0950992i
\(130\) −0.462284 2.62174i −0.0405450 0.229942i
\(131\) 16.3481 13.7177i 1.42834 1.19852i 0.481660 0.876358i \(-0.340034\pi\)
0.946684 0.322165i \(-0.104411\pi\)
\(132\) 0.168519 0.399174i 0.0146677 0.0347436i
\(133\) 2.30431 0.838700i 0.199809 0.0727245i
\(134\) 3.34066 0.288589
\(135\) 1.69432 + 2.78272i 0.145824 + 0.239498i
\(136\) −0.174091 −0.0149282
\(137\) −5.21790 + 1.89916i −0.445796 + 0.162256i −0.555157 0.831746i \(-0.687342\pi\)
0.109361 + 0.994002i \(0.465120\pi\)
\(138\) 0.0853343 0.0106471i 0.00726414 0.000906342i
\(139\) −0.678301 + 0.569162i −0.0575327 + 0.0482757i −0.671101 0.741366i \(-0.734178\pi\)
0.613568 + 0.789642i \(0.289734\pi\)
\(140\) 0.108876 + 0.617467i 0.00920171 + 0.0521855i
\(141\) 0.0387228 0.767581i 0.00326105 0.0646420i
\(142\) 3.28613 + 2.75739i 0.275766 + 0.231395i
\(143\) −0.531082 + 0.919862i −0.0444113 + 0.0769227i
\(144\) 2.70150 + 1.30456i 0.225125 + 0.108713i
\(145\) 0.212125 + 0.367411i 0.0176160 + 0.0305118i
\(146\) 1.71332 9.71673i 0.141796 0.804162i
\(147\) 1.17878 1.26905i 0.0972239 0.104669i
\(148\) 4.88488 + 1.77795i 0.401535 + 0.146147i
\(149\) 4.99854 + 1.81932i 0.409497 + 0.149045i 0.538551 0.842593i \(-0.318972\pi\)
−0.129054 + 0.991638i \(0.541194\pi\)
\(150\) 7.77833 + 1.77976i 0.635098 + 0.145317i
\(151\) −1.61648 + 9.16750i −0.131547 + 0.746040i 0.845655 + 0.533730i \(0.179210\pi\)
−0.977202 + 0.212311i \(0.931901\pi\)
\(152\) 1.22610 + 2.12366i 0.0994496 + 0.172252i
\(153\) −0.506261 + 0.128330i −0.0409288 + 0.0103748i
\(154\) 0.125079 0.216644i 0.0100792 0.0174577i
\(155\) 3.59578 + 3.01722i 0.288820 + 0.242349i
\(156\) −6.17559 3.99333i −0.494443 0.319722i
\(157\) −1.23178 6.98577i −0.0983067 0.557525i −0.993684 0.112216i \(-0.964205\pi\)
0.895377 0.445309i \(-0.146906\pi\)
\(158\) −4.17525 + 3.50345i −0.332165 + 0.278720i
\(159\) 12.6415 + 16.7077i 1.00253 + 1.32501i
\(160\) −0.589180 + 0.214444i −0.0465788 + 0.0169533i
\(161\) 0.0496498 0.00391295
\(162\) 8.81769 + 1.80231i 0.692783 + 0.141603i
\(163\) 0.0659960 0.00516921 0.00258460 0.999997i \(-0.499177\pi\)
0.00258460 + 0.999997i \(0.499177\pi\)
\(164\) 11.3770 4.14090i 0.888396 0.323350i
\(165\) 0.163918 + 0.216644i 0.0127610 + 0.0168657i
\(166\) −4.74111 + 3.97826i −0.367982 + 0.308773i
\(167\) 2.73325 + 15.5010i 0.211505 + 1.19950i 0.886869 + 0.462020i \(0.152875\pi\)
−0.675364 + 0.737484i \(0.736014\pi\)
\(168\) 1.45446 + 0.940501i 0.112214 + 0.0725612i
\(169\) 3.85181 + 3.23205i 0.296293 + 0.248620i
\(170\) 0.0545769 0.0945299i 0.00418586 0.00725011i
\(171\) 5.13096 + 5.27186i 0.392375 + 0.403149i
\(172\) −0.684183 1.18504i −0.0521685 0.0903584i
\(173\) 2.41378 13.6892i 0.183517 1.04077i −0.744330 0.667812i \(-0.767231\pi\)
0.927847 0.372962i \(-0.121658\pi\)
\(174\) 1.14245 + 0.261405i 0.0866093 + 0.0198171i
\(175\) 4.32905 + 1.57565i 0.327246 + 0.119108i
\(176\) 0.235072 + 0.0855594i 0.0177193 + 0.00644928i
\(177\) 5.75243 6.19296i 0.432379 0.465491i
\(178\) −1.22770 + 6.96261i −0.0920197 + 0.521870i
\(179\) −2.97554 5.15378i −0.222402 0.385212i 0.733135 0.680083i \(-0.238056\pi\)
−0.955537 + 0.294872i \(0.904723\pi\)
\(180\) −1.55528 + 1.05792i −0.115924 + 0.0788526i
\(181\) −7.23503 + 12.5314i −0.537776 + 0.931455i 0.461248 + 0.887271i \(0.347402\pi\)
−0.999023 + 0.0441833i \(0.985931\pi\)
\(182\) −3.25259 2.72925i −0.241098 0.202306i
\(183\) −0.243051 + 4.81787i −0.0179668 + 0.356147i
\(184\) 0.00862160 + 0.0488955i 0.000635593 + 0.00360462i
\(185\) −2.49680 + 2.09507i −0.183569 + 0.154032i
\(186\) 12.8672 1.60543i 0.943466 0.117716i
\(187\) −0.0409240 + 0.0148951i −0.00299266 + 0.00108924i
\(188\) 0.443727 0.0323621
\(189\) 4.92290 + 1.66286i 0.358088 + 0.120955i
\(190\) −1.53751 −0.111543
\(191\) 6.63560 2.41516i 0.480135 0.174755i −0.0906027 0.995887i \(-0.528879\pi\)
0.570738 + 0.821132i \(0.306657\pi\)
\(192\) −0.673648 + 1.59568i −0.0486164 + 0.115158i
\(193\) −9.10006 + 7.63586i −0.655037 + 0.549641i −0.908595 0.417679i \(-0.862844\pi\)
0.253558 + 0.967320i \(0.418399\pi\)
\(194\) −2.64647 15.0089i −0.190006 1.07758i
\(195\) 4.10437 2.10140i 0.293920 0.150484i
\(196\) 0.766044 + 0.642788i 0.0547175 + 0.0459134i
\(197\) 12.5895 21.8056i 0.896964 1.55359i 0.0656101 0.997845i \(-0.479101\pi\)
0.831354 0.555743i \(-0.187566\pi\)
\(198\) 0.746666 + 0.0755275i 0.0530633 + 0.00536751i
\(199\) 3.85284 + 6.67331i 0.273121 + 0.473059i 0.969659 0.244461i \(-0.0786109\pi\)
−0.696539 + 0.717519i \(0.745278\pi\)
\(200\) −0.799976 + 4.53689i −0.0565669 + 0.320807i
\(201\) 1.70253 + 5.53005i 0.120088 + 0.390060i
\(202\) −2.31963 0.844275i −0.163208 0.0594030i
\(203\) 0.635836 + 0.231425i 0.0446269 + 0.0162429i
\(204\) −0.0887236 0.288186i −0.00621190 0.0201770i
\(205\) −1.31818 + 7.47579i −0.0920659 + 0.522131i
\(206\) 5.44887 + 9.43772i 0.379641 + 0.657557i
\(207\) 0.0611147 + 0.135834i 0.00424777 + 0.00944113i
\(208\) 2.12298 3.67711i 0.147202 0.254962i
\(209\) 0.469921 + 0.394310i 0.0325051 + 0.0272750i
\(210\) −0.966652 + 0.494917i −0.0667054 + 0.0341525i
\(211\) −4.37530 24.8135i −0.301208 1.70823i −0.640839 0.767675i \(-0.721413\pi\)
0.339631 0.940559i \(-0.389698\pi\)
\(212\) −9.26624 + 7.77530i −0.636408 + 0.534009i
\(213\) −2.88977 + 6.84505i −0.198004 + 0.469015i
\(214\) 15.4544 5.62493i 1.05644 0.384512i
\(215\) 0.857955 0.0585121
\(216\) −0.782746 + 5.13686i −0.0532591 + 0.349519i
\(217\) 7.48646 0.508214
\(218\) 13.3996 4.87706i 0.907537 0.330317i
\(219\) 16.9580 2.11584i 1.14592 0.142975i
\(220\) −0.120152 + 0.100820i −0.00810067 + 0.00679727i
\(221\) 0.128358 + 0.727954i 0.00863428 + 0.0489675i
\(222\) −0.453648 + 8.99243i −0.0304469 + 0.603532i
\(223\) −17.6697 14.8267i −1.18325 0.992866i −0.999952 0.00980949i \(-0.996877\pi\)
−0.183300 0.983057i \(-0.558678\pi\)
\(224\) −0.500000 + 0.866025i −0.0334077 + 0.0578638i
\(225\) 1.01797 + 13.7831i 0.0678649 + 0.918873i
\(226\) −2.46542 4.27023i −0.163997 0.284052i
\(227\) 0.0444521 0.252100i 0.00295039 0.0167325i −0.983297 0.182008i \(-0.941740\pi\)
0.986247 + 0.165276i \(0.0528514\pi\)
\(228\) −2.89059 + 3.11195i −0.191434 + 0.206094i
\(229\) −17.3377 6.31041i −1.14571 0.417004i −0.301737 0.953391i \(-0.597566\pi\)
−0.843972 + 0.536388i \(0.819789\pi\)
\(230\) −0.0292527 0.0106471i −0.00192886 0.000702049i
\(231\) 0.422372 + 0.0966431i 0.0277901 + 0.00635865i
\(232\) −0.117498 + 0.666363i −0.00771410 + 0.0437489i
\(233\) −11.7883 20.4179i −0.772275 1.33762i −0.936314 0.351165i \(-0.885786\pi\)
0.164039 0.986454i \(-0.447548\pi\)
\(234\) 3.46314 12.2581i 0.226392 0.801335i
\(235\) −0.139107 + 0.240940i −0.00907432 + 0.0157172i
\(236\) 3.73830 + 3.13680i 0.243342 + 0.204189i
\(237\) −7.92740 5.12611i −0.514940 0.332977i
\(238\) −0.0302306 0.171446i −0.00195956 0.0111132i
\(239\) −7.11168 + 5.96740i −0.460016 + 0.385999i −0.843137 0.537699i \(-0.819294\pi\)
0.383121 + 0.923698i \(0.374849\pi\)
\(240\) −0.655255 0.866025i −0.0422965 0.0559017i
\(241\) 14.8989 5.42276i 0.959723 0.349311i 0.185798 0.982588i \(-0.440513\pi\)
0.773925 + 0.633277i \(0.218291\pi\)
\(242\) −10.9374 −0.703084
\(243\) 1.51034 + 15.5151i 0.0968884 + 0.995295i
\(244\) −2.78514 −0.178300
\(245\) −0.589180 + 0.214444i −0.0376414 + 0.0137003i
\(246\) 12.6529 + 16.7229i 0.806721 + 1.06621i
\(247\) 7.97600 6.69265i 0.507500 0.425843i
\(248\) 1.30001 + 7.37273i 0.0825508 + 0.468169i
\(249\) −9.00178 5.82084i −0.570465 0.368881i
\(250\) −4.61423 3.87179i −0.291829 0.244874i
\(251\) 4.96806 8.60493i 0.313581 0.543139i −0.665554 0.746350i \(-0.731805\pi\)
0.979135 + 0.203211i \(0.0651379\pi\)
\(252\) −0.815631 + 2.88700i −0.0513799 + 0.181864i
\(253\) 0.00621017 + 0.0107563i 0.000390430 + 0.000676245i
\(254\) 3.18549 18.0658i 0.199876 1.13355i
\(255\) 0.184297 + 0.0421690i 0.0115411 + 0.00264073i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 14.3247 + 5.21378i 0.893553 + 0.325227i 0.747666 0.664075i \(-0.231174\pi\)
0.145887 + 0.989301i \(0.453396\pi\)
\(258\) 1.61300 1.73652i 0.100421 0.108111i
\(259\) −0.902689 + 5.11941i −0.0560904 + 0.318104i
\(260\) 1.33109 + 2.30552i 0.0825509 + 0.142982i
\(261\) 0.149516 + 2.02441i 0.00925484 + 0.125308i
\(262\) −10.6705 + 18.4818i −0.659225 + 1.14181i
\(263\) 8.20749 + 6.88690i 0.506096 + 0.424665i 0.859753 0.510711i \(-0.170618\pi\)
−0.353657 + 0.935375i \(0.615062\pi\)
\(264\) −0.0218307 + 0.432738i −0.00134358 + 0.0266332i
\(265\) −1.31699 7.46901i −0.0809020 0.458818i
\(266\) −1.87849 + 1.57624i −0.115178 + 0.0966455i
\(267\) −12.1514 + 1.51612i −0.743655 + 0.0927853i
\(268\) −3.13920 + 1.14257i −0.191757 + 0.0697938i
\(269\) −13.9193 −0.848677 −0.424339 0.905504i \(-0.639493\pi\)
−0.424339 + 0.905504i \(0.639493\pi\)
\(270\) −2.54388 2.03541i −0.154816 0.123871i
\(271\) −4.99999 −0.303728 −0.151864 0.988401i \(-0.548528\pi\)
−0.151864 + 0.988401i \(0.548528\pi\)
\(272\) 0.163592 0.0595426i 0.00991922 0.00361030i
\(273\) 2.86028 6.77520i 0.173112 0.410054i
\(274\) 4.25367 3.56926i 0.256974 0.215627i
\(275\) 0.200121 + 1.13494i 0.0120678 + 0.0684397i
\(276\) −0.0765465 + 0.0391911i −0.00460756 + 0.00235902i
\(277\) 6.45026 + 5.41241i 0.387558 + 0.325200i 0.815661 0.578530i \(-0.196373\pi\)
−0.428103 + 0.903730i \(0.640818\pi\)
\(278\) 0.442730 0.766830i 0.0265532 0.0459914i
\(279\) 9.21520 + 20.4818i 0.551700 + 1.22621i
\(280\) −0.313496 0.542992i −0.0187350 0.0324500i
\(281\) 4.06049 23.0282i 0.242229 1.37375i −0.584613 0.811312i \(-0.698754\pi\)
0.826842 0.562435i \(-0.190135\pi\)
\(282\) 0.226141 + 0.734534i 0.0134665 + 0.0437409i
\(283\) −15.3148 5.57412i −0.910369 0.331347i −0.155969 0.987762i \(-0.549850\pi\)
−0.754400 + 0.656415i \(0.772072\pi\)
\(284\) −4.03103 1.46718i −0.239198 0.0870609i
\(285\) −0.783575 2.54515i −0.0464150 0.150762i
\(286\) 0.184443 1.04603i 0.0109063 0.0618529i
\(287\) 6.05359 + 10.4851i 0.357332 + 0.618917i
\(288\) −2.98477 0.301918i −0.175879 0.0177907i
\(289\) 8.48485 14.6962i 0.499109 0.864481i
\(290\) −0.324994 0.272703i −0.0190843 0.0160136i
\(291\) 23.4966 12.0300i 1.37739 0.705213i
\(292\) 1.71332 + 9.71673i 0.100265 + 0.568629i
\(293\) 11.5162 9.66323i 0.672783 0.564532i −0.241104 0.970499i \(-0.577510\pi\)
0.913888 + 0.405967i \(0.133065\pi\)
\(294\) −0.673648 + 1.59568i −0.0392880 + 0.0930620i
\(295\) −2.87520 + 1.04649i −0.167401 + 0.0609289i
\(296\) −5.19838 −0.302150
\(297\) 0.255504 + 1.27450i 0.0148259 + 0.0739543i
\(298\) −5.31934 −0.308141
\(299\) 0.198098 0.0721016i 0.0114563 0.00416975i
\(300\) −7.91796 + 0.987918i −0.457144 + 0.0570375i
\(301\) 1.04823 0.879569i 0.0604189 0.0506975i
\(302\) −1.61648 9.16750i −0.0930178 0.527530i
\(303\) 0.215418 4.27013i 0.0123755 0.245312i
\(304\) −1.87849 1.57624i −0.107739 0.0904036i
\(305\) 0.873130 1.51230i 0.0499953 0.0865943i
\(306\) 0.431839 0.293742i 0.0246866 0.0167921i
\(307\) −7.53035 13.0429i −0.429780 0.744400i 0.567074 0.823667i \(-0.308075\pi\)
−0.996853 + 0.0792666i \(0.974742\pi\)
\(308\) −0.0434396 + 0.246358i −0.00247520 + 0.0140376i
\(309\) −12.8460 + 13.8298i −0.730784 + 0.786748i
\(310\) −4.41088 1.60543i −0.250521 0.0911822i
\(311\) −29.3274 10.6743i −1.66300 0.605284i −0.672173 0.740394i \(-0.734639\pi\)
−0.990831 + 0.135110i \(0.956861\pi\)
\(312\) 7.16895 + 1.64033i 0.405862 + 0.0928653i
\(313\) −3.06803 + 17.3997i −0.173416 + 0.983489i 0.766541 + 0.642195i \(0.221976\pi\)
−0.939957 + 0.341293i \(0.889135\pi\)
\(314\) 3.54677 + 6.14318i 0.200156 + 0.346680i
\(315\) −1.31192 1.34794i −0.0739182 0.0759480i
\(316\) 2.72520 4.72019i 0.153305 0.265531i
\(317\) −17.8698 14.9945i −1.00367 0.842177i −0.0161786 0.999869i \(-0.505150\pi\)
−0.987488 + 0.157693i \(0.949594\pi\)
\(318\) −17.5935 11.3765i −0.986593 0.637962i
\(319\) 0.0293931 + 0.166697i 0.00164570 + 0.00933321i
\(320\) 0.480304 0.403023i 0.0268498 0.0225297i
\(321\) 17.1875 + 22.7161i 0.959314 + 1.26789i
\(322\) −0.0466555 + 0.0169812i −0.00260001 + 0.000946327i
\(323\) 0.426905 0.0237536
\(324\) −8.90235 + 1.32221i −0.494575 + 0.0734560i
\(325\) 19.5606 1.08503
\(326\) −0.0620160 + 0.0225720i −0.00343475 + 0.00125015i
\(327\) 14.9024 + 19.6959i 0.824102 + 1.08918i
\(328\) −9.27464 + 7.78234i −0.512106 + 0.429708i
\(329\) 0.0770523 + 0.436986i 0.00424803 + 0.0240918i
\(330\) −0.228129 0.147515i −0.0125581 0.00812046i
\(331\) −10.2229 8.57801i −0.561900 0.471490i 0.317047 0.948410i \(-0.397309\pi\)
−0.878947 + 0.476920i \(0.841753\pi\)
\(332\) 3.09454 5.35990i 0.169835 0.294163i
\(333\) −15.1170 + 3.83194i −0.828408 + 0.209989i
\(334\) −7.87007 13.6314i −0.430631 0.745875i
\(335\) 0.363718 2.06275i 0.0198721 0.112700i
\(336\) −1.68842 0.386327i −0.0921107 0.0210759i
\(337\) −24.2530 8.82736i −1.32114 0.480857i −0.417319 0.908760i \(-0.637030\pi\)
−0.903825 + 0.427903i \(0.859253\pi\)
\(338\) −4.72495 1.71974i −0.257003 0.0935415i
\(339\) 5.81236 6.25747i 0.315684 0.339859i
\(340\) −0.0189543 + 0.107495i −0.00102794 + 0.00582976i
\(341\) 0.936403 + 1.62190i 0.0507090 + 0.0878306i
\(342\) −6.62461 3.19904i −0.358218 0.172984i
\(343\) −0.500000 + 0.866025i −0.0269975 + 0.0467610i
\(344\) 1.04823 + 0.879569i 0.0565167 + 0.0474232i
\(345\) 0.00271663 0.0538504i 0.000146259 0.00289921i
\(346\) 2.41378 + 13.6892i 0.129766 + 0.735939i
\(347\) 1.46706 1.23101i 0.0787557 0.0660839i −0.602560 0.798074i \(-0.705853\pi\)
0.681316 + 0.731990i \(0.261408\pi\)
\(348\) −1.16296 + 0.145102i −0.0623413 + 0.00777828i
\(349\) −18.8097 + 6.84616i −1.00686 + 0.366466i −0.792226 0.610228i \(-0.791078\pi\)
−0.214633 + 0.976695i \(0.568855\pi\)
\(350\) −4.60688 −0.246248
\(351\) 22.0567 0.514405i 1.17730 0.0274569i
\(352\) −0.250159 −0.0133335
\(353\) −16.6145 + 6.04720i −0.884303 + 0.321860i −0.743945 0.668241i \(-0.767048\pi\)
−0.140358 + 0.990101i \(0.544825\pi\)
\(354\) −3.28740 + 7.78692i −0.174724 + 0.413870i
\(355\) 2.06038 1.72886i 0.109354 0.0917585i
\(356\) −1.22770 6.96261i −0.0650678 0.369018i
\(357\) 0.268401 0.137419i 0.0142053 0.00727297i
\(358\) 4.55879 + 3.82528i 0.240939 + 0.202172i
\(359\) −15.1563 + 26.2515i −0.799918 + 1.38550i 0.119750 + 0.992804i \(0.461791\pi\)
−0.919669 + 0.392695i \(0.871543\pi\)
\(360\) 1.09965 1.52605i 0.0579568 0.0804301i
\(361\) 6.49337 + 11.2468i 0.341756 + 0.591939i
\(362\) 2.51270 14.2502i 0.132065 0.748975i
\(363\) −5.57414 18.1055i −0.292567 0.950294i
\(364\) 3.98990 + 1.45220i 0.209127 + 0.0761162i
\(365\) −5.81322 2.11584i −0.304278 0.110748i
\(366\) −1.41942 4.61044i −0.0741940 0.240992i
\(367\) −1.70454 + 9.66691i −0.0889761 + 0.504609i 0.907451 + 0.420157i \(0.138025\pi\)
−0.996428 + 0.0844517i \(0.973086\pi\)
\(368\) −0.0248249 0.0429980i −0.00129409 0.00224143i
\(369\) −21.2342 + 29.4680i −1.10541 + 1.53404i
\(370\) 1.62967 2.82268i 0.0847227 0.146744i
\(371\) −9.26624 7.77530i −0.481079 0.403673i
\(372\) −11.5421 + 5.90944i −0.598430 + 0.306390i
\(373\) 2.83376 + 16.0710i 0.146726 + 0.832126i 0.965965 + 0.258673i \(0.0832853\pi\)
−0.819239 + 0.573453i \(0.805604\pi\)
\(374\) 0.0333615 0.0279937i 0.00172508 0.00144752i
\(375\) 4.05768 9.61149i 0.209538 0.496335i
\(376\) −0.416967 + 0.151763i −0.0215034 + 0.00782660i
\(377\) 2.87300 0.147967
\(378\) −5.19474 + 0.121152i −0.267189 + 0.00623137i
\(379\) −28.4011 −1.45887 −0.729433 0.684052i \(-0.760216\pi\)
−0.729433 + 0.684052i \(0.760216\pi\)
\(380\) 1.44478 0.525859i 0.0741159 0.0269760i
\(381\) 31.5292 3.93387i 1.61529 0.201539i
\(382\) −5.40939 + 4.53902i −0.276769 + 0.232236i
\(383\) 1.84496 + 10.4633i 0.0942731 + 0.534649i 0.994968 + 0.100196i \(0.0319471\pi\)
−0.900695 + 0.434453i \(0.856942\pi\)
\(384\) 0.0872671 1.72985i 0.00445333 0.0882761i
\(385\) −0.120152 0.100820i −0.00612353 0.00513825i
\(386\) 5.93964 10.2878i 0.302320 0.523633i
\(387\) 3.69664 + 1.78512i 0.187911 + 0.0907426i
\(388\) 7.62021 + 13.1986i 0.386858 + 0.670057i
\(389\) −6.23887 + 35.3824i −0.316323 + 1.79396i 0.248379 + 0.968663i \(0.420102\pi\)
−0.564702 + 0.825295i \(0.691009\pi\)
\(390\) −3.13812 + 3.37844i −0.158905 + 0.171074i
\(391\) 0.00812231 + 0.00295628i 0.000410763 + 0.000149505i
\(392\) −0.939693 0.342020i −0.0474616 0.0172746i
\(393\) −36.0325 8.24460i −1.81760 0.415885i
\(394\) −4.37229 + 24.7965i −0.220273 + 1.24923i
\(395\) 1.70868 + 2.95952i 0.0859731 + 0.148910i
\(396\) −0.727469 + 0.184402i −0.0365567 + 0.00926656i
\(397\) 12.5480 21.7337i 0.629765 1.09078i −0.357834 0.933785i \(-0.616485\pi\)
0.987599 0.157000i \(-0.0501821\pi\)
\(398\) −5.90289 4.95312i −0.295885 0.248277i
\(399\) −3.56662 2.30629i −0.178554 0.115459i
\(400\) −0.799976 4.53689i −0.0399988 0.226845i
\(401\) 13.4481 11.2843i 0.671565 0.563510i −0.241963 0.970285i \(-0.577791\pi\)
0.913528 + 0.406775i \(0.133347\pi\)
\(402\) −3.49125 4.61425i −0.174128 0.230138i
\(403\) 29.8702 10.8719i 1.48794 0.541567i
\(404\) 2.46849 0.122812
\(405\) 2.07291 5.24841i 0.103003 0.260795i
\(406\) −0.676642 −0.0335812
\(407\) −1.22200 + 0.444770i −0.0605721 + 0.0220464i
\(408\) 0.181938 + 0.240461i 0.00900729 + 0.0119046i
\(409\) 25.1441 21.0984i 1.24329 1.04325i 0.246034 0.969261i \(-0.420872\pi\)
0.997259 0.0739858i \(-0.0235720\pi\)
\(410\) −1.31818 7.47579i −0.0651004 0.369203i
\(411\) 8.07630 + 5.22239i 0.398375 + 0.257602i
\(412\) −8.34815 7.00493i −0.411284 0.345108i
\(413\) −2.44000 + 4.22620i −0.120065 + 0.207958i
\(414\) −0.103887 0.106740i −0.00510577 0.00524598i
\(415\) 1.94025 + 3.36062i 0.0952433 + 0.164966i
\(416\) −0.737303 + 4.18146i −0.0361493 + 0.205013i
\(417\) 1.49502 + 0.342077i 0.0732116 + 0.0167516i
\(418\) −0.576443 0.209808i −0.0281948 0.0102621i
\(419\) −9.93869 3.61739i −0.485537 0.176721i 0.0876406 0.996152i \(-0.472067\pi\)
−0.573178 + 0.819431i \(0.694290\pi\)
\(420\) 0.739085 0.795684i 0.0360636 0.0388254i
\(421\) −2.89699 + 16.4297i −0.141191 + 0.800733i 0.829156 + 0.559017i \(0.188821\pi\)
−0.970347 + 0.241716i \(0.922290\pi\)
\(422\) 12.5982 + 21.8207i 0.613269 + 1.06221i
\(423\) −1.10068 + 0.748696i −0.0535169 + 0.0364028i
\(424\) 6.04811 10.4756i 0.293722 0.508741i
\(425\) 0.614380 + 0.515526i 0.0298018 + 0.0250067i
\(426\) 0.374353 7.42061i 0.0181375 0.359530i
\(427\) −0.483634 2.74282i −0.0234047 0.132734i
\(428\) −12.5985 + 10.5714i −0.608972 + 0.510988i
\(429\) 1.82557 0.227775i 0.0881393 0.0109971i
\(430\) −0.806214 + 0.293438i −0.0388791 + 0.0141508i
\(431\) 15.4219 0.742847 0.371423 0.928464i \(-0.378870\pi\)
0.371423 + 0.928464i \(0.378870\pi\)
\(432\) −1.02137 5.09478i −0.0491406 0.245123i
\(433\) 40.5518 1.94879 0.974396 0.224837i \(-0.0721850\pi\)
0.974396 + 0.224837i \(0.0721850\pi\)
\(434\) −7.03497 + 2.56052i −0.337690 + 0.122909i
\(435\) 0.285795 0.676967i 0.0137028 0.0324581i
\(436\) −10.9235 + 9.16588i −0.523140 + 0.438966i
\(437\) −0.0211418 0.119901i −0.00101135 0.00573566i
\(438\) −15.2117 + 7.78822i −0.726841 + 0.372136i
\(439\) −26.3958 22.1487i −1.25980 1.05710i −0.995703 0.0926032i \(-0.970481\pi\)
−0.264098 0.964496i \(-0.585074\pi\)
\(440\) 0.0784239 0.135834i 0.00373871 0.00647564i
\(441\) −2.98477 0.301918i −0.142132 0.0143771i
\(442\) −0.369592 0.640152i −0.0175797 0.0304489i
\(443\) −4.22885 + 23.9830i −0.200919 + 1.13947i 0.702815 + 0.711372i \(0.251926\pi\)
−0.903734 + 0.428094i \(0.859185\pi\)
\(444\) −2.64930 8.60527i −0.125730 0.408388i
\(445\) 4.16552 + 1.51612i 0.197464 + 0.0718712i
\(446\) 21.6751 + 7.88910i 1.02635 + 0.373560i
\(447\) −2.71095 8.80550i −0.128223 0.416486i
\(448\) 0.173648 0.984808i 0.00820411 0.0465278i
\(449\) −5.10430 8.84090i −0.240887 0.417228i 0.720080 0.693891i \(-0.244105\pi\)
−0.960967 + 0.276663i \(0.910772\pi\)
\(450\) −5.67068 12.6037i −0.267318 0.594145i
\(451\) −1.51436 + 2.62295i −0.0713084 + 0.123510i
\(452\) 3.77724 + 3.16948i 0.177667 + 0.149080i
\(453\) 14.3518 7.34799i 0.674308 0.345239i
\(454\) 0.0444521 + 0.252100i 0.00208624 + 0.0118317i
\(455\) −2.03935 + 1.71122i −0.0956063 + 0.0802232i
\(456\) 1.65192 3.91292i 0.0773581 0.183239i
\(457\) 13.5197 4.92076i 0.632423 0.230183i −0.00586237 0.999983i \(-0.501866\pi\)
0.638286 + 0.769800i \(0.279644\pi\)
\(458\) 18.4504 0.862131
\(459\) 0.706335 + 0.565153i 0.0329689 + 0.0263791i
\(460\) 0.0311301 0.00145145
\(461\) 6.22607 2.26611i 0.289977 0.105543i −0.192936 0.981211i \(-0.561801\pi\)
0.482913 + 0.875668i \(0.339579\pi\)
\(462\) −0.429954 + 0.0536451i −0.0200033 + 0.00249580i
\(463\) 2.90393 2.43669i 0.134957 0.113242i −0.572810 0.819688i \(-0.694147\pi\)
0.707767 + 0.706445i \(0.249702\pi\)
\(464\) −0.117498 0.666363i −0.00545469 0.0309351i
\(465\) 0.409628 8.11985i 0.0189961 0.376549i
\(466\) 18.0607 + 15.1547i 0.836644 + 0.702028i
\(467\) −6.74689 + 11.6860i −0.312209 + 0.540761i −0.978840 0.204626i \(-0.934402\pi\)
0.666632 + 0.745387i \(0.267735\pi\)
\(468\) 0.938222 + 12.7033i 0.0433693 + 0.587209i
\(469\) −1.67033 2.89310i −0.0771287 0.133591i
\(470\) 0.0483113 0.273987i 0.00222843 0.0126381i
\(471\) −8.36170 + 9.00204i −0.385287 + 0.414792i
\(472\) −4.58570 1.66906i −0.211074 0.0768246i
\(473\) 0.321665 + 0.117077i 0.0147902 + 0.00538318i
\(474\) 9.20255 + 2.10564i 0.422687 + 0.0967151i
\(475\) 1.96170 11.1253i 0.0900089 0.510466i
\(476\) 0.0870455 + 0.150767i 0.00398972 + 0.00691040i
\(477\) 9.86605 34.9217i 0.451735 1.59896i
\(478\) 4.64182 8.03986i 0.212312 0.367735i
\(479\) −10.5269 8.83309i −0.480985 0.403594i 0.369797 0.929112i \(-0.379427\pi\)
−0.850782 + 0.525518i \(0.823872\pi\)
\(480\) 0.911937 + 0.589687i 0.0416240 + 0.0269154i
\(481\) 3.83278 + 21.7368i 0.174760 + 0.991113i
\(482\) −12.1457 + 10.1915i −0.553222 + 0.464208i
\(483\) −0.0518878 0.0685781i −0.00236098 0.00312041i
\(484\) 10.2778 3.74082i 0.467173 0.170037i
\(485\) −9.55563 −0.433899
\(486\) −6.72574 14.0629i −0.305086 0.637905i
\(487\) 23.4159 1.06108 0.530538 0.847661i \(-0.321990\pi\)
0.530538 + 0.847661i \(0.321990\pi\)
\(488\) 2.61717 0.952572i 0.118474 0.0431209i
\(489\) −0.0689709 0.0911562i −0.00311897 0.00412222i
\(490\) 0.480304 0.403023i 0.0216979 0.0182067i
\(491\) 1.49114 + 8.45670i 0.0672944 + 0.381646i 0.999791 + 0.0204657i \(0.00651489\pi\)
−0.932496 + 0.361180i \(0.882374\pi\)
\(492\) −17.6094 11.3868i −0.793894 0.513357i
\(493\) 0.0902380 + 0.0757187i 0.00406411 + 0.00341020i
\(494\) −5.20596 + 9.01699i −0.234227 + 0.405694i
\(495\) 0.127930 0.452819i 0.00575002 0.0203527i
\(496\) −3.74323 6.48347i −0.168076 0.291116i
\(497\) 0.744905 4.22457i 0.0334136 0.189498i
\(498\) 10.4497 + 2.39101i 0.468264 + 0.107144i
\(499\) 31.0769 + 11.3111i 1.39119 + 0.506353i 0.925552 0.378621i \(-0.123601\pi\)
0.465641 + 0.884974i \(0.345824\pi\)
\(500\) 5.66019 + 2.06014i 0.253131 + 0.0921322i
\(501\) 18.5541 19.9750i 0.828937 0.892417i
\(502\) −1.72539 + 9.78517i −0.0770079 + 0.436734i
\(503\) 15.8634 + 27.4762i 0.707314 + 1.22510i 0.965850 + 0.259102i \(0.0834265\pi\)
−0.258536 + 0.966002i \(0.583240\pi\)
\(504\) −0.220968 2.99185i −0.00984270 0.133268i
\(505\) −0.773864 + 1.34037i −0.0344365 + 0.0596458i
\(506\) −0.00951453 0.00798364i −0.000422972 0.000354916i
\(507\) 0.438795 8.69801i 0.0194876 0.386292i
\(508\) 3.18549 + 18.0658i 0.141333 + 0.801541i
\(509\) 23.2571 19.5150i 1.03085 0.864989i 0.0399017 0.999204i \(-0.487296\pi\)
0.990952 + 0.134214i \(0.0428511\pi\)
\(510\) −0.187605 + 0.0234074i −0.00830730 + 0.00103650i
\(511\) −9.27160 + 3.37459i −0.410151 + 0.149283i
\(512\) 1.00000 0.0441942
\(513\) 1.91945 12.5966i 0.0847456 0.556152i
\(514\) −15.2441 −0.672387
\(515\) 6.42073 2.33696i 0.282931 0.102979i
\(516\) −0.921797 + 2.18348i −0.0405799 + 0.0961222i
\(517\) −0.0850326 + 0.0713508i −0.00373973 + 0.00313801i
\(518\) −0.902689 5.11941i −0.0396619 0.224934i
\(519\) −21.4307 + 10.9723i −0.940703 + 0.481631i
\(520\) −2.03935 1.71122i −0.0894315 0.0750420i
\(521\) 11.8470 20.5197i 0.519028 0.898983i −0.480727 0.876870i \(-0.659627\pi\)
0.999755 0.0221129i \(-0.00703933\pi\)
\(522\) −0.832890 1.85119i −0.0364546 0.0810243i
\(523\) −10.7941 18.6960i −0.471994 0.817518i 0.527492 0.849560i \(-0.323132\pi\)
−0.999487 + 0.0320416i \(0.989799\pi\)
\(524\) 3.70582 21.0168i 0.161890 0.918122i
\(525\) −2.34785 7.62612i −0.102469 0.332831i
\(526\) −10.0680 3.66444i −0.438985 0.159777i
\(527\) 1.22473 + 0.445764i 0.0533499 + 0.0194178i
\(528\) −0.127491 0.414107i −0.00554833 0.0180217i
\(529\) −3.99348 + 22.6482i −0.173630 + 0.984702i
\(530\) 3.79212 + 6.56814i 0.164719 + 0.285302i
\(531\) −14.5657 1.47336i −0.632096 0.0639384i
\(532\) 1.22610 2.12366i 0.0531581 0.0920725i
\(533\) 39.3797 + 33.0435i 1.70573 + 1.43127i
\(534\) 10.9001 5.58072i 0.471691 0.241501i
\(535\) −1.79060 10.1550i −0.0774143 0.439038i
\(536\) 2.55910 2.14734i 0.110536 0.0927508i
\(537\) −4.00893 + 9.49602i −0.172998 + 0.409783i
\(538\) 13.0799 4.76069i 0.563915 0.205248i
\(539\) −0.250159 −0.0107751
\(540\) 3.08662 + 1.04260i 0.132827 + 0.0448664i
\(541\) 14.9833 0.644184 0.322092 0.946708i \(-0.395614\pi\)
0.322092 + 0.946708i \(0.395614\pi\)
\(542\) 4.69846 1.71010i 0.201816 0.0734550i
\(543\) 24.8700 3.10302i 1.06728 0.133163i
\(544\) −0.133361 + 0.111904i −0.00571782 + 0.00479782i
\(545\) −1.55253 8.80483i −0.0665030 0.377157i
\(546\) −0.370533 + 7.34488i −0.0158573 + 0.314332i
\(547\) −27.0650 22.7102i −1.15722 0.971020i −0.157353 0.987542i \(-0.550296\pi\)
−0.999863 + 0.0165225i \(0.994740\pi\)
\(548\) −2.77639 + 4.80885i −0.118601 + 0.205424i
\(549\) 6.90863 4.69933i 0.294853 0.200562i
\(550\) −0.576226 0.998053i −0.0245704 0.0425571i
\(551\) 0.288127 1.63405i 0.0122746 0.0696129i
\(552\) 0.0585261 0.0630080i 0.00249103 0.00268180i
\(553\) 5.12170 + 1.86415i 0.217797 + 0.0792716i
\(554\) −7.91241 2.87988i −0.336166 0.122354i
\(555\) 5.50314 + 1.25917i 0.233595 + 0.0534489i
\(556\) −0.153758 + 0.872007i −0.00652081 + 0.0369813i
\(557\) 0.176302 + 0.305364i 0.00747014 + 0.0129387i 0.869736 0.493517i \(-0.164289\pi\)
−0.862266 + 0.506455i \(0.830955\pi\)
\(558\) −15.6646 16.0948i −0.663137 0.681348i
\(559\) 2.90501 5.03163i 0.122869 0.212815i
\(560\) 0.480304 + 0.403023i 0.0202966 + 0.0170308i
\(561\) 0.0633424 + 0.0409592i 0.00267432 + 0.00172930i
\(562\) 4.06049 + 23.0282i 0.171282 + 0.971386i
\(563\) −30.4124 + 25.5191i −1.28173 + 1.07550i −0.288729 + 0.957411i \(0.593233\pi\)
−0.993003 + 0.118089i \(0.962323\pi\)
\(564\) −0.463728 0.612892i −0.0195265 0.0258074i
\(565\) −2.90515 + 1.05739i −0.122221 + 0.0444847i
\(566\) 16.2976 0.685041
\(567\) −2.84800 8.53750i −0.119605 0.358541i
\(568\) 4.28974 0.179993
\(569\) −34.6626 + 12.6161i −1.45313 + 0.528896i −0.943464 0.331475i \(-0.892454\pi\)
−0.509667 + 0.860372i \(0.670231\pi\)
\(570\) 1.60681 + 2.12366i 0.0673020 + 0.0889504i
\(571\) −7.33363 + 6.15365i −0.306903 + 0.257522i −0.783211 0.621757i \(-0.786419\pi\)
0.476308 + 0.879279i \(0.341975\pi\)
\(572\) 0.184443 + 1.04603i 0.00771195 + 0.0437366i
\(573\) −10.2706 6.64131i −0.429061 0.277445i
\(574\) −9.27464 7.78234i −0.387116 0.324829i
\(575\) 0.114365 0.198087i 0.00476936 0.00826078i
\(576\) 2.90803 0.737141i 0.121168 0.0307142i
\(577\) 2.17563 + 3.76831i 0.0905728 + 0.156877i 0.907752 0.419507i \(-0.137797\pi\)
−0.817179 + 0.576383i \(0.804464\pi\)
\(578\) −2.94676 + 16.7119i −0.122569 + 0.695123i
\(579\) 20.0572 + 4.58929i 0.833548 + 0.190724i
\(580\) 0.398664 + 0.145102i 0.0165536 + 0.00602503i
\(581\) 5.81583 + 2.11679i 0.241281 + 0.0878193i
\(582\) −17.9651 + 19.3408i −0.744676 + 0.801704i
\(583\) 0.525455 2.98000i 0.0217621 0.123419i
\(584\) −4.93331 8.54475i −0.204142 0.353584i
\(585\) −7.19190 3.47299i −0.297349 0.143590i
\(586\) −7.51666 + 13.0192i −0.310510 + 0.537820i
\(587\) −18.7090 15.6987i −0.772201 0.647954i 0.169070 0.985604i \(-0.445923\pi\)
−0.941272 + 0.337650i \(0.890368\pi\)
\(588\) 0.0872671 1.72985i 0.00359884 0.0713379i
\(589\) −3.18788 18.0794i −0.131354 0.744947i
\(590\) 2.34388 1.96675i 0.0964962 0.0809699i
\(591\) −43.2758 + 5.39949i −1.78013 + 0.222105i
\(592\) 4.88488 1.77795i 0.200767 0.0730733i
\(593\) 12.9536 0.531941 0.265970 0.963981i \(-0.414308\pi\)
0.265970 + 0.963981i \(0.414308\pi\)
\(594\) −0.676002 1.11026i −0.0277367 0.0455543i
\(595\) −0.109154 −0.00447487
\(596\) 4.99854 1.81932i 0.204748 0.0745223i
\(597\) 5.19092 12.2958i 0.212450 0.503234i
\(598\) −0.161491 + 0.135507i −0.00660384 + 0.00554128i
\(599\) 0.631798 + 3.58311i 0.0258146 + 0.146402i 0.994991 0.0999669i \(-0.0318737\pi\)
−0.969176 + 0.246369i \(0.920763\pi\)
\(600\) 7.10256 3.63644i 0.289961 0.148457i
\(601\) −22.2215 18.6460i −0.906434 0.760588i 0.0650034 0.997885i \(-0.479294\pi\)
−0.971437 + 0.237297i \(0.923739\pi\)
\(602\) −0.684183 + 1.18504i −0.0278852 + 0.0482986i
\(603\) 5.85903 8.13093i 0.238598 0.331117i
\(604\) 4.65446 + 8.06176i 0.189387 + 0.328028i
\(605\) −1.19082 + 6.75350i −0.0484139 + 0.274569i
\(606\) 1.25804 + 4.08629i 0.0511045 + 0.165994i
\(607\) 6.10716 + 2.22282i 0.247882 + 0.0902217i 0.462973 0.886372i \(-0.346783\pi\)
−0.215091 + 0.976594i \(0.569005\pi\)
\(608\) 2.30431 + 0.838700i 0.0934521 + 0.0340138i
\(609\) −0.344844 1.12010i −0.0139738 0.0453886i
\(610\) −0.303235 + 1.71973i −0.0122776 + 0.0696298i
\(611\) 0.942023 + 1.63163i 0.0381102 + 0.0660088i
\(612\) −0.305330 + 0.423725i −0.0123422 + 0.0171281i
\(613\) 7.49041 12.9738i 0.302535 0.524005i −0.674175 0.738572i \(-0.735501\pi\)
0.976709 + 0.214566i \(0.0688339\pi\)
\(614\) 11.5372 + 9.68083i 0.465602 + 0.390687i
\(615\) 11.7034 5.99204i 0.471928 0.241623i
\(616\) −0.0434396 0.246358i −0.00175023 0.00992606i
\(617\) 3.98099 3.34045i 0.160269 0.134481i −0.559127 0.829082i \(-0.688863\pi\)
0.719395 + 0.694601i \(0.244419\pi\)
\(618\) 7.34124 17.3893i 0.295308 0.699501i
\(619\) 5.82097 2.11866i 0.233965 0.0851561i −0.222377 0.974961i \(-0.571382\pi\)
0.456342 + 0.889805i \(0.349159\pi\)
\(620\) 4.69396 0.188514
\(621\) 0.123750 0.226371i 0.00496590 0.00908395i
\(622\) 31.2096 1.25139
\(623\) 6.64365 2.41809i 0.266172 0.0968787i
\(624\) −7.29764 + 0.910521i −0.292139 + 0.0364500i
\(625\) 14.7523 12.3786i 0.590092 0.495146i
\(626\) −3.06803 17.3997i −0.122623 0.695431i
\(627\) 0.0535330 1.06116i 0.00213790 0.0423785i
\(628\) −5.43396 4.55964i −0.216839 0.181949i
\(629\) −0.452496 + 0.783745i −0.0180422 + 0.0312500i
\(630\) 1.69382 + 0.817950i 0.0674835 + 0.0325879i
\(631\) 20.7579 + 35.9538i 0.826360 + 1.43130i 0.900876 + 0.434077i \(0.142925\pi\)
−0.0745161 + 0.997220i \(0.523741\pi\)
\(632\) −0.946453 + 5.36760i −0.0376479 + 0.213512i
\(633\) −29.7009 + 31.9754i −1.18050 + 1.27091i
\(634\) 21.9205 + 7.97842i 0.870576 + 0.316864i
\(635\) −10.8082 3.93387i −0.428912 0.156111i
\(636\) 20.4234 + 4.67309i 0.809842 + 0.185300i
\(637\) −0.737303 + 4.18146i −0.0292130 + 0.165675i
\(638\) −0.0846340 0.146590i −0.00335069 0.00580357i
\(639\) 12.4747 3.16214i 0.493490 0.125092i
\(640\) −0.313496 + 0.542992i −0.0123920 + 0.0214636i
\(641\) 7.01815 + 5.88893i 0.277200 + 0.232599i 0.770779 0.637102i \(-0.219867\pi\)
−0.493579 + 0.869701i \(0.664312\pi\)
\(642\) −23.9203 15.4677i −0.944061 0.610460i
\(643\) 3.67117 + 20.8202i 0.144777 + 0.821069i 0.967546 + 0.252694i \(0.0813166\pi\)
−0.822770 + 0.568375i \(0.807572\pi\)
\(644\) 0.0380340 0.0319143i 0.00149875 0.00125760i
\(645\) −0.896629 1.18504i −0.0353047 0.0466609i
\(646\) −0.401159 + 0.146010i −0.0157834 + 0.00574469i
\(647\) −10.4626 −0.411329 −0.205664 0.978623i \(-0.565935\pi\)
−0.205664 + 0.978623i \(0.565935\pi\)
\(648\) 7.91325 4.28725i 0.310862 0.168419i
\(649\) −1.22078 −0.0479196
\(650\) −18.3810 + 6.69013i −0.720961 + 0.262409i
\(651\) −7.82393 10.3406i −0.306644 0.405279i
\(652\) 0.0505559 0.0424214i 0.00197992 0.00166135i
\(653\) 7.06892 + 40.0899i 0.276628 + 1.56884i 0.733742 + 0.679429i \(0.237772\pi\)
−0.457113 + 0.889408i \(0.651117\pi\)
\(654\) −20.7400 13.4112i −0.810999 0.524418i
\(655\) 10.2502 + 8.60091i 0.400507 + 0.336065i
\(656\) 6.05359 10.4851i 0.236353 0.409375i
\(657\) −20.6449 21.2118i −0.805434 0.827552i
\(658\) −0.221863 0.384279i −0.00864914 0.0149807i
\(659\) −6.80705 + 38.6047i −0.265165 + 1.50383i 0.503400 + 0.864054i \(0.332082\pi\)
−0.768565 + 0.639772i \(0.779029\pi\)
\(660\) 0.264824 + 0.0605945i 0.0103083 + 0.00235864i
\(661\) −20.3201 7.39592i −0.790361 0.287668i −0.0848749 0.996392i \(-0.527049\pi\)
−0.705486 + 0.708724i \(0.749271\pi\)
\(662\) 12.5402 + 4.56426i 0.487389 + 0.177395i
\(663\) 0.871333 0.938060i 0.0338398 0.0364312i
\(664\) −1.07472 + 6.09505i −0.0417073 + 0.236534i
\(665\) 0.768754 + 1.33152i 0.0298110 + 0.0516342i
\(666\) 12.8948 8.77118i 0.499662 0.339876i
\(667\) 0.0167976 0.0290943i 0.000650405 0.00112653i
\(668\) 12.0576 + 10.1176i 0.466524 + 0.391460i
\(669\) −2.01292 + 39.9011i −0.0778240 + 1.54266i
\(670\) 0.363718 + 2.06275i 0.0140517 + 0.0796910i
\(671\) 0.533723 0.447847i 0.0206042 0.0172889i
\(672\) 1.71872 0.214444i 0.0663012 0.00827236i
\(673\) 39.4535 14.3599i 1.52082 0.553534i 0.559468 0.828852i \(-0.311006\pi\)
0.961353 + 0.275319i \(0.0887833\pi\)
\(674\) 25.8095 0.994144
\(675\) 17.9739 15.8105i 0.691814 0.608545i
\(676\) 5.02818 0.193392
\(677\) −24.4066 + 8.88328i −0.938022 + 0.341412i −0.765385 0.643573i \(-0.777451\pi\)
−0.172638 + 0.984985i \(0.555229\pi\)
\(678\) −3.32165 + 7.86805i −0.127567 + 0.302171i
\(679\) −11.6748 + 9.79636i −0.448039 + 0.375950i
\(680\) −0.0189543 0.107495i −0.000726866 0.00412226i
\(681\) −0.394666 + 0.202065i −0.0151236 + 0.00774316i
\(682\) −1.43465 1.20382i −0.0549357 0.0460965i
\(683\) 1.47362 2.55239i 0.0563866 0.0976645i −0.836454 0.548037i \(-0.815375\pi\)
0.892841 + 0.450372i \(0.148709\pi\)
\(684\) 7.31923 + 0.740362i 0.279858 + 0.0283085i
\(685\) −1.74078 3.01511i −0.0665116 0.115201i
\(686\) 0.173648 0.984808i 0.00662992 0.0376001i
\(687\) 9.40306 + 30.5423i 0.358749 + 1.16526i
\(688\) −1.28584 0.468009i −0.0490223 0.0178427i
\(689\) −48.2627 17.5662i −1.83866 0.669218i
\(690\) 0.0158651 + 0.0515319i 0.000603974 + 0.00196179i
\(691\) 4.08584 23.1720i 0.155433 0.881504i −0.802956 0.596038i \(-0.796741\pi\)
0.958389 0.285465i \(-0.0921482\pi\)
\(692\) −6.95021 12.0381i −0.264207 0.457621i
\(693\) −0.307924 0.684396i −0.0116971 0.0259980i
\(694\) −0.957552 + 1.65853i −0.0363482 + 0.0629569i
\(695\) −0.425290 0.356860i −0.0161322 0.0135365i
\(696\) 1.04320 0.534108i 0.0395424 0.0202453i
\(697\) 0.366007 + 2.07573i 0.0138635 + 0.0786238i
\(698\) 15.3338 12.8666i 0.580392 0.487007i
\(699\) −15.8823 + 37.6206i −0.600723 + 1.42294i
\(700\) 4.32905 1.57565i 0.163623 0.0595538i
\(701\) 43.0461 1.62583 0.812914 0.582383i \(-0.197880\pi\)
0.812914 + 0.582383i \(0.197880\pi\)
\(702\) −20.5505 + 8.02721i −0.775630 + 0.302967i
\(703\) 12.7474 0.480779
\(704\) 0.235072 0.0855594i 0.00885963 0.00322464i
\(705\) 0.478172 0.0596612i 0.0180090 0.00224697i
\(706\) 13.5443 11.3650i 0.509747 0.427728i
\(707\) 0.428650 + 2.43099i 0.0161210 + 0.0914269i
\(708\) 0.425864 8.44167i 0.0160049 0.317258i
\(709\) −13.8074 11.5858i −0.518548 0.435114i 0.345577 0.938390i \(-0.387683\pi\)
−0.864125 + 0.503277i \(0.832128\pi\)
\(710\) −1.34482 + 2.32929i −0.0504701 + 0.0874167i
\(711\) 1.20437 + 16.3068i 0.0451672 + 0.611553i
\(712\) 3.53501 + 6.12282i 0.132480 + 0.229462i
\(713\) 0.0645453 0.366054i 0.00241724 0.0137088i
\(714\) −0.205214 + 0.220930i −0.00767996 + 0.00826809i
\(715\) −0.625807 0.227775i −0.0234038 0.00851830i
\(716\) −5.59218 2.03539i −0.208990 0.0760660i
\(717\) 15.6746 + 3.58652i 0.585380 + 0.133941i
\(718\) 5.26372 29.8521i 0.196440 1.11407i
\(719\) 16.2275 + 28.1068i 0.605182 + 1.04821i 0.992023 + 0.126059i \(0.0402330\pi\)
−0.386841 + 0.922147i \(0.626434\pi\)
\(720\) −0.511395 + 1.81013i −0.0190586 + 0.0674594i
\(721\) 5.44887 9.43772i 0.202927 0.351479i
\(722\) −9.94842 8.34772i −0.370242 0.310670i
\(723\) −23.0606 14.9117i −0.857633 0.554573i
\(724\) 2.51270 + 14.2502i 0.0933837 + 0.529606i
\(725\) 2.38792 2.00370i 0.0886852 0.0744157i
\(726\) 11.4304 + 15.1072i 0.424223 + 0.560680i
\(727\) −26.5268 + 9.65498i −0.983826 + 0.358083i −0.783327 0.621610i \(-0.786479\pi\)
−0.200500 + 0.979694i \(0.564257\pi\)
\(728\) −4.24596 −0.157366
\(729\) 19.8516 18.3006i 0.735246 0.677801i
\(730\) 6.18630 0.228965
\(731\) 0.223854 0.0814761i 0.00827953 0.00301350i
\(732\) 2.91068 + 3.84693i 0.107582 + 0.142187i
\(733\) −21.8457 + 18.3308i −0.806891 + 0.677062i −0.949864 0.312665i \(-0.898778\pi\)
0.142973 + 0.989727i \(0.454334\pi\)
\(734\) −1.70454 9.66691i −0.0629156 0.356812i
\(735\) 0.911937 + 0.589687i 0.0336373 + 0.0217509i
\(736\) 0.0380340 + 0.0319143i 0.00140195 + 0.00117638i
\(737\) 0.417848 0.723734i 0.0153916 0.0266591i
\(738\) 9.87499 34.9534i 0.363503 1.28665i
\(739\) −9.56401 16.5653i −0.351818 0.609366i 0.634750 0.772717i \(-0.281103\pi\)
−0.986568 + 0.163351i \(0.947770\pi\)
\(740\) −0.565980 + 3.20983i −0.0208058 + 0.117996i
\(741\) −17.5797 4.02240i −0.645805 0.147767i
\(742\) 11.3667 + 4.13715i 0.417285 + 0.151879i
\(743\) −33.0997 12.0473i −1.21431 0.441973i −0.346114 0.938193i \(-0.612499\pi\)
−0.868197 + 0.496219i \(0.834721\pi\)
\(744\) 8.82487 9.50068i 0.323536 0.348312i
\(745\) −0.579149 + 3.28452i −0.0212184 + 0.120335i
\(746\) −8.15947 14.1326i −0.298740 0.517432i
\(747\) 1.36759 + 18.5168i 0.0500375 + 0.677495i
\(748\) −0.0217752 + 0.0377157i −0.000796180 + 0.00137902i
\(749\) −12.5985 10.5714i −0.460340 0.386271i
\(750\) −0.525649 + 10.4197i −0.0191940 + 0.380472i
\(751\) 7.86664 + 44.6139i 0.287058 + 1.62798i 0.697842 + 0.716252i \(0.254144\pi\)
−0.410784 + 0.911733i \(0.634745\pi\)
\(752\) 0.339914 0.285222i 0.0123954 0.0104010i
\(753\) −17.0775 + 2.13074i −0.622337 + 0.0776486i
\(754\) −2.69973 + 0.982623i −0.0983185 + 0.0357850i
\(755\) −5.83662 −0.212416
\(756\) 4.84002 1.89055i 0.176030 0.0687587i
\(757\) −28.8426 −1.04830 −0.524151 0.851626i \(-0.675617\pi\)
−0.524151 + 0.851626i \(0.675617\pi\)
\(758\) 26.6883 9.71375i 0.969363 0.352819i
\(759\) 0.00836694 0.0198189i 0.000303701 0.000719380i
\(760\) −1.17780 + 0.988291i −0.0427233 + 0.0358491i
\(761\) −5.28082 29.9490i −0.191430 1.08565i −0.917412 0.397938i \(-0.869726\pi\)
0.725983 0.687713i \(-0.241385\pi\)
\(762\) −28.2823 + 14.4802i −1.02456 + 0.524564i
\(763\) −10.9235 9.16588i −0.395456 0.331827i
\(764\) 3.53073 6.11541i 0.127737 0.221248i
\(765\) −0.134359 0.298628i −0.00485776 0.0107969i
\(766\) −5.31235 9.20127i −0.191943 0.332455i
\(767\) −3.59804 + 20.4055i −0.129918 + 0.736800i
\(768\) 0.509640 + 1.65538i 0.0183900 + 0.0597332i
\(769\) 46.4767 + 16.9161i