Properties

Label 547.2.o.a.4.19
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.19
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.764594 - 0.00879909i) q^{2} +(0.320949 - 1.40617i) q^{3} +(-1.41494 - 0.0325711i) q^{4} +(0.427309 - 0.802909i) q^{5} +(-0.257769 + 1.07233i) q^{6} +(-1.22649 - 3.02231i) q^{7} +(2.60995 + 0.0901391i) q^{8} +(0.828601 + 0.399033i) q^{9} +O(q^{10})\) \(q+(-0.764594 - 0.00879909i) q^{2} +(0.320949 - 1.40617i) q^{3} +(-1.41494 - 0.0325711i) q^{4} +(0.427309 - 0.802909i) q^{5} +(-0.257769 + 1.07233i) q^{6} +(-1.22649 - 3.02231i) q^{7} +(2.60995 + 0.0901391i) q^{8} +(0.828601 + 0.399033i) q^{9} +(-0.333783 + 0.610140i) q^{10} +(-2.86802 - 2.98592i) q^{11} +(-0.499925 + 1.97920i) q^{12} +(-3.21175 - 0.484094i) q^{13} +(0.911173 + 2.32163i) q^{14} +(-0.991882 - 0.858563i) q^{15} +(0.832878 + 0.0383650i) q^{16} +(-0.968364 + 5.74945i) q^{17} +(-0.630032 - 0.312389i) q^{18} +(4.12087 - 2.22365i) q^{19} +(-0.630770 + 1.12215i) q^{20} +(-4.64352 + 0.754645i) q^{21} +(2.16660 + 2.30825i) q^{22} +(-3.87838 - 0.908725i) q^{23} +(0.964412 - 3.64110i) q^{24} +(2.33071 + 3.46115i) q^{25} +(2.45143 + 0.398396i) q^{26} +(3.52489 - 4.42007i) q^{27} +(1.63697 + 4.31634i) q^{28} +(-2.16066 - 1.23094i) q^{29} +(0.750833 + 0.665180i) q^{30} +(-8.31037 - 2.98868i) q^{31} +(-5.85084 - 0.337020i) q^{32} +(-5.11920 + 3.07459i) q^{33} +(0.790995 - 4.38748i) q^{34} +(-2.95073 - 0.306701i) q^{35} +(-1.15943 - 0.591598i) q^{36} +(-6.64354 + 5.36087i) q^{37} +(-3.17036 + 1.66393i) q^{38} +(-1.71153 + 4.36090i) q^{39} +(1.18763 - 2.05704i) q^{40} +(-0.662290 - 1.14712i) q^{41} +(3.55705 - 0.536139i) q^{42} +(0.136927 - 1.39539i) q^{43} +(3.96082 + 4.31832i) q^{44} +(0.674456 - 0.494781i) q^{45} +(2.95739 + 0.728932i) q^{46} +(0.700804 - 0.0565747i) q^{47} +(0.321259 - 1.15885i) q^{48} +(-2.60963 + 2.53561i) q^{49} +(-1.75160 - 2.66688i) q^{50} +(7.77391 + 3.20697i) q^{51} +(4.52868 + 0.789576i) q^{52} +(1.89339 - 0.656417i) q^{53} +(-2.73400 + 3.34854i) q^{54} +(-3.62295 + 1.02684i) q^{55} +(-2.92865 - 7.99862i) q^{56} +(-1.80425 - 6.50832i) q^{57} +(1.64120 + 0.960181i) q^{58} +(-9.99841 + 4.25992i) q^{59} +(1.37549 + 1.24712i) q^{60} +(-10.3514 + 4.83903i) q^{61} +(6.32777 + 2.35825i) q^{62} +(0.189731 - 2.99370i) q^{63} +(2.80701 + 0.194121i) q^{64} +(-1.76110 + 2.37189i) q^{65} +(3.94116 - 2.30577i) q^{66} +(5.11266 + 4.96765i) q^{67} +(1.55745 - 8.10360i) q^{68} +(-2.52259 + 5.16201i) q^{69} +(2.25341 + 0.260466i) q^{70} +(12.2485 - 2.42721i) q^{71} +(2.12664 + 1.11615i) q^{72} +(12.3952 - 10.7291i) q^{73} +(5.12678 - 4.04043i) q^{74} +(5.61501 - 2.16653i) q^{75} +(-5.90322 + 3.01212i) q^{76} +(-5.50678 + 12.3302i) q^{77} +(1.34700 - 3.31926i) q^{78} +(-13.5795 - 9.72354i) q^{79} +(0.386700 - 0.652331i) q^{80} +(-3.36383 - 4.21811i) q^{81} +(0.496290 + 0.882909i) q^{82} +(8.66620 + 5.48017i) q^{83} +(6.59489 - 0.916535i) q^{84} +(4.20249 + 3.23430i) q^{85} +(-0.116972 + 1.06570i) q^{86} +(-2.42437 + 2.64319i) q^{87} +(-7.21623 - 8.05162i) q^{88} +(-1.23786 - 14.3068i) q^{89} +(-0.520039 + 0.372372i) q^{90} +(2.47610 + 10.3006i) q^{91} +(5.45809 + 1.41212i) q^{92} +(-6.86980 + 10.7266i) q^{93} +(-0.536328 + 0.0370903i) q^{94} +(-0.0245051 - 4.25887i) q^{95} +(-2.35173 + 8.11912i) q^{96} +(-2.14326 - 16.1006i) q^{97} +(2.01762 - 1.91575i) q^{98} +(-1.18496 - 3.61857i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.764594 0.00879909i −0.540650 0.00622189i −0.259246 0.965811i \(-0.583474\pi\)
−0.281404 + 0.959589i \(0.590800\pi\)
\(3\) 0.320949 1.40617i 0.185300 0.811853i −0.793752 0.608242i \(-0.791875\pi\)
0.979052 0.203611i \(-0.0652677\pi\)
\(4\) −1.41494 0.0325711i −0.707472 0.0162856i
\(5\) 0.427309 0.802909i 0.191099 0.359072i −0.768768 0.639527i \(-0.779130\pi\)
0.959867 + 0.280455i \(0.0904855\pi\)
\(6\) −0.257769 + 1.07233i −0.105234 + 0.437775i
\(7\) −1.22649 3.02231i −0.463569 1.14232i −0.961426 0.275065i \(-0.911301\pi\)
0.497856 0.867259i \(-0.334121\pi\)
\(8\) 2.60995 + 0.0901391i 0.922757 + 0.0318690i
\(9\) 0.828601 + 0.399033i 0.276200 + 0.133011i
\(10\) −0.333783 + 0.610140i −0.105552 + 0.192943i
\(11\) −2.86802 2.98592i −0.864739 0.900289i 0.131105 0.991369i \(-0.458148\pi\)
−0.995844 + 0.0910798i \(0.970968\pi\)
\(12\) −0.499925 + 1.97920i −0.144316 + 0.571345i
\(13\) −3.21175 0.484094i −0.890780 0.134263i −0.312323 0.949976i \(-0.601107\pi\)
−0.578457 + 0.815713i \(0.696345\pi\)
\(14\) 0.911173 + 2.32163i 0.243521 + 0.620482i
\(15\) −0.991882 0.858563i −0.256103 0.221680i
\(16\) 0.832878 + 0.0383650i 0.208219 + 0.00959125i
\(17\) −0.968364 + 5.74945i −0.234863 + 1.39445i 0.579917 + 0.814676i \(0.303085\pi\)
−0.814780 + 0.579771i \(0.803142\pi\)
\(18\) −0.630032 0.312389i −0.148500 0.0736309i
\(19\) 4.12087 2.22365i 0.945392 0.510141i 0.0721320 0.997395i \(-0.477020\pi\)
0.873260 + 0.487254i \(0.162001\pi\)
\(20\) −0.630770 + 1.12215i −0.141045 + 0.250921i
\(21\) −4.64352 + 0.754645i −1.01330 + 0.164677i
\(22\) 2.16660 + 2.30825i 0.461920 + 0.492121i
\(23\) −3.87838 0.908725i −0.808699 0.189482i −0.196826 0.980438i \(-0.563063\pi\)
−0.611873 + 0.790956i \(0.709584\pi\)
\(24\) 0.964412 3.64110i 0.196860 0.743237i
\(25\) 2.33071 + 3.46115i 0.466143 + 0.692230i
\(26\) 2.45143 + 0.398396i 0.480765 + 0.0781319i
\(27\) 3.52489 4.42007i 0.678365 0.850642i
\(28\) 1.63697 + 4.31634i 0.309359 + 0.815712i
\(29\) −2.16066 1.23094i −0.401225 0.228580i 0.281022 0.959701i \(-0.409327\pi\)
−0.682247 + 0.731122i \(0.738997\pi\)
\(30\) 0.750833 + 0.665180i 0.137083 + 0.121445i
\(31\) −8.31037 2.98868i −1.49259 0.536782i −0.540163 0.841560i \(-0.681638\pi\)
−0.952423 + 0.304778i \(0.901418\pi\)
\(32\) −5.85084 0.337020i −1.03429 0.0595772i
\(33\) −5.11920 + 3.07459i −0.891138 + 0.535217i
\(34\) 0.790995 4.38748i 0.135655 0.752446i
\(35\) −2.95073 0.306701i −0.498764 0.0518420i
\(36\) −1.15943 0.591598i −0.193238 0.0985996i
\(37\) −6.64354 + 5.36087i −1.09219 + 0.881321i −0.993504 0.113797i \(-0.963699\pi\)
−0.0986865 + 0.995119i \(0.531464\pi\)
\(38\) −3.17036 + 1.66393i −0.514300 + 0.269926i
\(39\) −1.71153 + 4.36090i −0.274064 + 0.698303i
\(40\) 1.18763 2.05704i 0.187781 0.325246i
\(41\) −0.662290 1.14712i −0.103432 0.179150i 0.809664 0.586893i \(-0.199649\pi\)
−0.913097 + 0.407743i \(0.866316\pi\)
\(42\) 3.55705 0.536139i 0.548864 0.0827280i
\(43\) 0.136927 1.39539i 0.0208812 0.212795i −0.979076 0.203497i \(-0.934769\pi\)
0.999957 0.00929779i \(-0.00295962\pi\)
\(44\) 3.96082 + 4.31832i 0.597117 + 0.651011i
\(45\) 0.674456 0.494781i 0.100542 0.0737575i
\(46\) 2.95739 + 0.728932i 0.436044 + 0.107475i
\(47\) 0.700804 0.0565747i 0.102223 0.00825227i −0.0292494 0.999572i \(-0.509312\pi\)
0.131472 + 0.991320i \(0.458030\pi\)
\(48\) 0.321259 1.15885i 0.0463697 0.167266i
\(49\) −2.60963 + 2.53561i −0.372804 + 0.362230i
\(50\) −1.75160 2.66688i −0.247713 0.377154i
\(51\) 7.77391 + 3.20697i 1.08856 + 0.449065i
\(52\) 4.52868 + 0.789576i 0.628015 + 0.109494i
\(53\) 1.89339 0.656417i 0.260077 0.0901658i −0.194407 0.980921i \(-0.562278\pi\)
0.454483 + 0.890755i \(0.349824\pi\)
\(54\) −2.73400 + 3.34854i −0.372050 + 0.455679i
\(55\) −3.62295 + 1.02684i −0.488519 + 0.138460i
\(56\) −2.92865 7.99862i −0.391357 1.06886i
\(57\) −1.80425 6.50832i −0.238978 0.862048i
\(58\) 1.64120 + 0.960181i 0.215500 + 0.126078i
\(59\) −9.99841 + 4.25992i −1.30168 + 0.554595i −0.927868 0.372909i \(-0.878360\pi\)
−0.373814 + 0.927504i \(0.621950\pi\)
\(60\) 1.37549 + 1.24712i 0.177575 + 0.161003i
\(61\) −10.3514 + 4.83903i −1.32536 + 0.619575i −0.951425 0.307880i \(-0.900381\pi\)
−0.373937 + 0.927454i \(0.621992\pi\)
\(62\) 6.32777 + 2.35825i 0.803627 + 0.299498i
\(63\) 0.189731 2.99370i 0.0239038 0.377170i
\(64\) 2.80701 + 0.194121i 0.350876 + 0.0242652i
\(65\) −1.76110 + 2.37189i −0.218437 + 0.294196i
\(66\) 3.94116 2.30577i 0.485124 0.283821i
\(67\) 5.11266 + 4.96765i 0.624611 + 0.606895i 0.939631 0.342190i \(-0.111169\pi\)
−0.315020 + 0.949085i \(0.602011\pi\)
\(68\) 1.55745 8.10360i 0.188868 0.982706i
\(69\) −2.52259 + 5.16201i −0.303684 + 0.621433i
\(70\) 2.25341 + 0.260466i 0.269334 + 0.0311316i
\(71\) 12.2485 2.42721i 1.45362 0.288057i 0.596270 0.802784i \(-0.296649\pi\)
0.857354 + 0.514726i \(0.172107\pi\)
\(72\) 2.12664 + 1.11615i 0.250627 + 0.131539i
\(73\) 12.3952 10.7291i 1.45074 1.25575i 0.540711 0.841208i \(-0.318155\pi\)
0.910031 0.414539i \(-0.136057\pi\)
\(74\) 5.12678 4.04043i 0.595976 0.469691i
\(75\) 5.61501 2.16653i 0.648365 0.250169i
\(76\) −5.90322 + 3.01212i −0.677146 + 0.345514i
\(77\) −5.50678 + 12.3302i −0.627556 + 1.40516i
\(78\) 1.34700 3.31926i 0.152517 0.375832i
\(79\) −13.5795 9.72354i −1.52781 1.09398i −0.963254 0.268591i \(-0.913442\pi\)
−0.564559 0.825393i \(-0.690954\pi\)
\(80\) 0.386700 0.652331i 0.0432344 0.0729328i
\(81\) −3.36383 4.21811i −0.373759 0.468678i
\(82\) 0.496290 + 0.882909i 0.0548060 + 0.0975010i
\(83\) 8.66620 + 5.48017i 0.951239 + 0.601527i 0.917428 0.397901i \(-0.130261\pi\)
0.0338110 + 0.999428i \(0.489236\pi\)
\(84\) 6.59489 0.916535i 0.719562 0.100002i
\(85\) 4.20249 + 3.23430i 0.455825 + 0.350809i
\(86\) −0.116972 + 1.06570i −0.0126134 + 0.114918i
\(87\) −2.42437 + 2.64319i −0.259920 + 0.283380i
\(88\) −7.21623 8.05162i −0.769252 0.858306i
\(89\) −1.23786 14.3068i −0.131213 1.51652i −0.711834 0.702348i \(-0.752135\pi\)
0.580621 0.814174i \(-0.302810\pi\)
\(90\) −0.520039 + 0.372372i −0.0548169 + 0.0392514i
\(91\) 2.47610 + 10.3006i 0.259566 + 1.07980i
\(92\) 5.45809 + 1.41212i 0.569046 + 0.147223i
\(93\) −6.86980 + 10.7266i −0.712365 + 1.11229i
\(94\) −0.536328 + 0.0370903i −0.0553180 + 0.00382557i
\(95\) −0.0245051 4.25887i −0.00251417 0.436951i
\(96\) −2.35173 + 8.11912i −0.240022 + 0.828654i
\(97\) −2.14326 16.1006i −0.217615 1.63477i −0.669582 0.742738i \(-0.733527\pi\)
0.451967 0.892035i \(-0.350722\pi\)
\(98\) 2.01762 1.91575i 0.203810 0.193520i
\(99\) −1.18496 3.61857i −0.119093 0.363680i
\(100\) −3.18509 4.97324i −0.318509 0.497324i
\(101\) 8.93633 + 12.0357i 0.889198 + 1.19759i 0.979452 + 0.201676i \(0.0646387\pi\)
−0.0902539 + 0.995919i \(0.528768\pi\)
\(102\) −5.91567 2.52043i −0.585738 0.249560i
\(103\) −1.45758 3.16532i −0.143619 0.311888i 0.823028 0.568001i \(-0.192283\pi\)
−0.966647 + 0.256113i \(0.917558\pi\)
\(104\) −8.33888 1.55297i −0.817694 0.152281i
\(105\) −1.37831 + 4.05079i −0.134509 + 0.395317i
\(106\) −1.45345 + 0.485233i −0.141172 + 0.0471300i
\(107\) 5.02802 1.23929i 0.486077 0.119807i 0.0113413 0.999936i \(-0.496390\pi\)
0.474735 + 0.880129i \(0.342544\pi\)
\(108\) −5.13148 + 6.13933i −0.493777 + 0.590758i
\(109\) −1.85734 3.58890i −0.177901 0.343754i 0.782374 0.622808i \(-0.214008\pi\)
−0.960275 + 0.279054i \(0.909979\pi\)
\(110\) 2.77912 0.753240i 0.264979 0.0718186i
\(111\) 5.40605 + 11.0625i 0.513120 + 1.05001i
\(112\) −0.905564 2.56427i −0.0855678 0.242300i
\(113\) −0.482053 16.7513i −0.0453477 1.57583i −0.637788 0.770212i \(-0.720150\pi\)
0.592440 0.805615i \(-0.298165\pi\)
\(114\) 1.32225 + 4.99210i 0.123840 + 0.467553i
\(115\) −2.38689 + 2.72568i −0.222579 + 0.254171i
\(116\) 3.01712 + 1.81208i 0.280133 + 0.168248i
\(117\) −2.46809 1.68272i −0.228175 0.155567i
\(118\) 7.68221 3.16914i 0.707205 0.291743i
\(119\) 18.5643 4.12494i 1.70179 0.378133i
\(120\) −2.51137 2.33021i −0.229256 0.212718i
\(121\) −0.247282 + 6.13625i −0.0224802 + 0.557841i
\(122\) 7.95721 3.60881i 0.720412 0.326727i
\(123\) −1.82561 + 0.563125i −0.164609 + 0.0507753i
\(124\) 11.6614 + 4.49949i 1.04722 + 0.404066i
\(125\) 8.29824 0.862526i 0.742217 0.0771467i
\(126\) −0.171409 + 2.28729i −0.0152703 + 0.203768i
\(127\) 3.83303 10.4686i 0.340126 0.928941i −0.646058 0.763288i \(-0.723584\pi\)
0.986184 0.165653i \(-0.0529731\pi\)
\(128\) 9.53856 + 0.770032i 0.843098 + 0.0680619i
\(129\) −1.91821 0.640391i −0.168889 0.0563833i
\(130\) 1.36739 1.79804i 0.119928 0.157698i
\(131\) 12.4113 + 2.60827i 1.08438 + 0.227885i 0.713402 0.700755i \(-0.247154\pi\)
0.370980 + 0.928641i \(0.379022\pi\)
\(132\) 7.34352 4.18363i 0.639171 0.364138i
\(133\) −11.7748 9.72725i −1.02100 0.843459i
\(134\) −3.86540 3.84322i −0.333920 0.332004i
\(135\) −2.04269 4.71890i −0.175807 0.406138i
\(136\) −3.04563 + 14.9185i −0.261161 + 1.27925i
\(137\) 17.5847 0.404788i 1.50236 0.0345834i 0.735994 0.676989i \(-0.236715\pi\)
0.766365 + 0.642405i \(0.222063\pi\)
\(138\) 1.97418 3.92465i 0.168053 0.334088i
\(139\) −12.7285 5.77274i −1.07962 0.489637i −0.207152 0.978309i \(-0.566419\pi\)
−0.872468 + 0.488672i \(0.837482\pi\)
\(140\) 4.16512 + 0.530073i 0.352017 + 0.0447994i
\(141\) 0.145369 1.00361i 0.0122422 0.0845189i
\(142\) −9.38646 + 1.74806i −0.787694 + 0.146694i
\(143\) 7.76589 + 10.9784i 0.649416 + 0.918062i
\(144\) 0.674814 + 0.364135i 0.0562345 + 0.0303446i
\(145\) −1.91160 + 1.20883i −0.158750 + 0.100387i
\(146\) −9.57167 + 8.09435i −0.792157 + 0.669893i
\(147\) 2.72794 + 4.48339i 0.224997 + 0.369784i
\(148\) 9.57483 7.36894i 0.787047 0.605723i
\(149\) −10.6000 + 10.7845i −0.868384 + 0.883504i −0.994090 0.108563i \(-0.965375\pi\)
0.125706 + 0.992068i \(0.459880\pi\)
\(150\) −4.31227 + 1.60711i −0.352095 + 0.131220i
\(151\) 0.230823 + 0.763886i 0.0187841 + 0.0621641i 0.966140 0.258018i \(-0.0830692\pi\)
−0.947356 + 0.320182i \(0.896256\pi\)
\(152\) 10.9557 5.43217i 0.888625 0.440607i
\(153\) −3.09661 + 4.37759i −0.250346 + 0.353907i
\(154\) 4.31895 9.37916i 0.348031 0.755794i
\(155\) −5.95074 + 5.39538i −0.477975 + 0.433368i
\(156\) 2.56375 6.11468i 0.205265 0.489566i
\(157\) 5.27922 + 6.31609i 0.421327 + 0.504079i 0.935363 0.353691i \(-0.115073\pi\)
−0.514035 + 0.857769i \(0.671850\pi\)
\(158\) 10.2973 + 7.55405i 0.819205 + 0.600968i
\(159\) −0.315353 2.87310i −0.0250091 0.227852i
\(160\) −2.77072 + 4.55368i −0.219044 + 0.360000i
\(161\) 2.01035 + 12.8362i 0.158438 + 1.01163i
\(162\) 2.53485 + 3.25474i 0.199156 + 0.255716i
\(163\) 3.21726 10.2209i 0.251995 0.800566i −0.739811 0.672815i \(-0.765085\pi\)
0.991806 0.127751i \(-0.0407757\pi\)
\(164\) 0.899740 + 1.64468i 0.0702579 + 0.128428i
\(165\) 0.281133 + 5.42405i 0.0218862 + 0.422262i
\(166\) −6.57791 4.26637i −0.510545 0.331134i
\(167\) −0.0247321 + 1.43265i −0.00191383 + 0.110862i 0.997356 + 0.0726650i \(0.0231504\pi\)
−0.999270 + 0.0381968i \(0.987839\pi\)
\(168\) −12.1874 + 1.55102i −0.940276 + 0.119664i
\(169\) −2.34144 0.722237i −0.180110 0.0555567i
\(170\) −3.18474 2.50991i −0.244259 0.192501i
\(171\) 4.30187 0.198158i 0.328972 0.0151535i
\(172\) −0.239193 + 1.96993i −0.0182383 + 0.150206i
\(173\) 8.25044 5.48705i 0.627269 0.417173i −0.199355 0.979927i \(-0.563885\pi\)
0.826624 + 0.562754i \(0.190258\pi\)
\(174\) 1.87692 1.99964i 0.142289 0.151592i
\(175\) 7.60206 11.2892i 0.574662 0.853383i
\(176\) −2.27415 2.59694i −0.171421 0.195752i
\(177\) 2.78120 + 15.4267i 0.209048 + 1.15954i
\(178\) 0.820576 + 10.9498i 0.0615047 + 0.820724i
\(179\) −12.6222 3.57747i −0.943425 0.267392i −0.234051 0.972224i \(-0.575198\pi\)
−0.709374 + 0.704832i \(0.751022\pi\)
\(180\) −0.970433 + 0.678118i −0.0723318 + 0.0505440i
\(181\) −0.466749 2.28629i −0.0346932 0.169938i 0.958753 0.284241i \(-0.0917417\pi\)
−0.993446 + 0.114303i \(0.963537\pi\)
\(182\) −1.80258 7.89760i −0.133616 0.585409i
\(183\) 3.48223 + 16.1089i 0.257414 + 1.19081i
\(184\) −10.0405 2.72132i −0.740194 0.200618i
\(185\) 1.46544 + 7.62490i 0.107742 + 0.560594i
\(186\) 5.34699 8.14104i 0.392060 0.596930i
\(187\) 19.9447 13.5981i 1.45850 0.994388i
\(188\) −0.993440 + 0.0572240i −0.0724541 + 0.00417349i
\(189\) −17.6820 5.23212i −1.28618 0.380581i
\(190\) −0.0187377 + 3.25653i −0.00135938 + 0.236253i
\(191\) 0.541654 + 8.54656i 0.0391927 + 0.618407i 0.968487 + 0.249066i \(0.0801236\pi\)
−0.929294 + 0.369341i \(0.879583\pi\)
\(192\) 1.17387 3.88483i 0.0847171 0.280363i
\(193\) 2.70926 + 16.0856i 0.195017 + 1.15787i 0.895787 + 0.444483i \(0.146613\pi\)
−0.700771 + 0.713387i \(0.747160\pi\)
\(194\) 1.49705 + 12.3293i 0.107482 + 0.885194i
\(195\) 2.77006 + 3.23766i 0.198368 + 0.231853i
\(196\) 3.77507 3.50275i 0.269648 0.250196i
\(197\) 9.41912 13.6459i 0.671084 0.972234i −0.328531 0.944493i \(-0.606553\pi\)
0.999615 0.0277403i \(-0.00883114\pi\)
\(198\) 0.874173 + 2.77716i 0.0621248 + 0.197364i
\(199\) −15.9139 + 16.5681i −1.12811 + 1.17448i −0.145388 + 0.989375i \(0.546443\pi\)
−0.982718 + 0.185108i \(0.940736\pi\)
\(200\) 5.77106 + 9.24352i 0.408076 + 0.653615i
\(201\) 8.62626 5.59491i 0.608450 0.394634i
\(202\) −6.72677 9.28104i −0.473294 0.653012i
\(203\) −1.07024 + 8.03992i −0.0751164 + 0.564292i
\(204\) −10.8952 4.79088i −0.762815 0.335429i
\(205\) −1.20404 + 0.0415835i −0.0840935 + 0.00290431i
\(206\) 1.08660 + 2.43301i 0.0757072 + 0.169516i
\(207\) −2.85102 2.30057i −0.198160 0.159901i
\(208\) −2.65642 0.526410i −0.184190 0.0365000i
\(209\) −18.4584 5.92712i −1.27679 0.409987i
\(210\) 1.08949 3.08508i 0.0751819 0.212891i
\(211\) −16.6191 + 1.92096i −1.14411 + 0.132244i −0.665926 0.746018i \(-0.731963\pi\)
−0.478180 + 0.878262i \(0.658703\pi\)
\(212\) −2.70042 + 0.867123i −0.185465 + 0.0595543i
\(213\) 0.518058 18.0024i 0.0354967 1.23351i
\(214\) −3.85530 + 0.903316i −0.263543 + 0.0617494i
\(215\) −1.06186 0.706203i −0.0724182 0.0481626i
\(216\) 9.59820 11.2184i 0.653074 0.763317i
\(217\) 1.15988 + 28.7821i 0.0787376 + 1.95385i
\(218\) 1.38853 + 2.76039i 0.0940433 + 0.186957i
\(219\) −11.1087 20.8732i −0.750659 1.41048i
\(220\) 5.15972 1.33492i 0.347868 0.0900004i
\(221\) 5.89342 17.9970i 0.396434 1.21061i
\(222\) −4.03610 8.50590i −0.270885 0.570879i
\(223\) −14.6118 19.2135i −0.978475 1.28663i −0.957978 0.286842i \(-0.907394\pi\)
−0.0204973 0.999790i \(-0.506525\pi\)
\(224\) 6.15742 + 18.0964i 0.411410 + 1.20912i
\(225\) 0.550118 + 3.79794i 0.0366745 + 0.253196i
\(226\) 0.221179 + 12.8122i 0.0147126 + 0.852253i
\(227\) −5.59580 + 8.96280i −0.371406 + 0.594882i −0.980095 0.198527i \(-0.936384\pi\)
0.608689 + 0.793409i \(0.291696\pi\)
\(228\) 2.34092 + 9.26767i 0.155031 + 0.613767i
\(229\) −1.75009 17.8347i −0.115649 1.17855i −0.859832 0.510577i \(-0.829432\pi\)
0.744183 0.667976i \(-0.232839\pi\)
\(230\) 1.84899 2.06304i 0.121919 0.136033i
\(231\) 15.5710 + 11.7008i 1.02450 + 0.769859i
\(232\) −5.52827 3.40745i −0.362949 0.223710i
\(233\) −7.40509 9.06958i −0.485123 0.594168i 0.472808 0.881165i \(-0.343240\pi\)
−0.957931 + 0.286997i \(0.907343\pi\)
\(234\) 1.87228 + 1.30831i 0.122395 + 0.0855271i
\(235\) 0.254036 0.586857i 0.0165715 0.0382823i
\(236\) 14.2859 5.70189i 0.929935 0.371162i
\(237\) −18.0313 + 15.9743i −1.17126 + 1.03764i
\(238\) −14.2304 + 2.99056i −0.922423 + 0.193849i
\(239\) 4.50633 9.49689i 0.291490 0.614303i −0.703890 0.710309i \(-0.748555\pi\)
0.995381 + 0.0960056i \(0.0306067\pi\)
\(240\) −0.793178 0.753131i −0.0511994 0.0486144i
\(241\) 7.64476 10.5476i 0.492442 0.679431i −0.488759 0.872419i \(-0.662550\pi\)
0.981201 + 0.192987i \(0.0618176\pi\)
\(242\) 0.243064 4.68957i 0.0156248 0.301457i
\(243\) 8.26983 3.98254i 0.530510 0.255480i
\(244\) 14.8043 6.50980i 0.947746 0.416747i
\(245\) 0.920747 + 3.17879i 0.0588244 + 0.203085i
\(246\) 1.40080 0.414499i 0.0893120 0.0264275i
\(247\) −14.3117 + 5.14694i −0.910630 + 0.327492i
\(248\) −21.4203 8.54939i −1.36019 0.542887i
\(249\) 10.4875 10.4273i 0.664616 0.660803i
\(250\) −6.35238 + 0.586466i −0.401760 + 0.0370914i
\(251\) 5.93491 4.45979i 0.374608 0.281500i −0.396717 0.917941i \(-0.629851\pi\)
0.771325 + 0.636441i \(0.219594\pi\)
\(252\) −0.365966 + 4.22973i −0.0230537 + 0.266448i
\(253\) 8.40988 + 14.1868i 0.528725 + 0.891915i
\(254\) −3.02282 + 7.97053i −0.189669 + 0.500116i
\(255\) 5.89677 4.87138i 0.369270 0.305057i
\(256\) −12.8900 1.19003i −0.805622 0.0743769i
\(257\) 7.81436 4.81652i 0.487446 0.300446i −0.259017 0.965873i \(-0.583399\pi\)
0.746463 + 0.665426i \(0.231750\pi\)
\(258\) 1.46101 + 0.506518i 0.0909588 + 0.0315344i
\(259\) 24.3504 + 13.5038i 1.51306 + 0.839083i
\(260\) 2.56911 3.29873i 0.159329 0.204578i
\(261\) −1.29914 1.88213i −0.0804149 0.116501i
\(262\) −9.46668 2.10347i −0.584853 0.129953i
\(263\) 3.79796 0.662175i 0.234192 0.0408314i −0.0534453 0.998571i \(-0.517020\pi\)
0.287638 + 0.957739i \(0.407130\pi\)
\(264\) −13.6380 + 7.56308i −0.839360 + 0.465475i
\(265\) 0.282019 1.80071i 0.0173243 0.110617i
\(266\) 8.91733 + 7.54101i 0.546757 + 0.462369i
\(267\) −20.5151 2.85112i −1.25551 0.174486i
\(268\) −7.07232 7.19547i −0.432011 0.439533i
\(269\) −14.9786 7.00214i −0.913262 0.426928i −0.0908791 0.995862i \(-0.528968\pi\)
−0.822383 + 0.568934i \(0.807356\pi\)
\(270\) 1.52031 + 3.62602i 0.0925232 + 0.220672i
\(271\) −6.55858 + 12.6730i −0.398405 + 0.769830i −0.999571 0.0292946i \(-0.990674\pi\)
0.601166 + 0.799125i \(0.294703\pi\)
\(272\) −1.02711 + 4.75144i −0.0622775 + 0.288098i
\(273\) 15.2792 0.175835i 0.924736 0.0106420i
\(274\) −13.4487 + 0.154770i −0.812465 + 0.00934999i
\(275\) 3.65020 16.8860i 0.220115 1.01826i
\(276\) 3.73745 7.22179i 0.224968 0.434701i
\(277\) 6.83231 + 16.2954i 0.410514 + 0.979096i 0.986814 + 0.161858i \(0.0517486\pi\)
−0.576300 + 0.817238i \(0.695504\pi\)
\(278\) 9.68136 + 4.52580i 0.580650 + 0.271440i
\(279\) −5.69340 5.79253i −0.340855 0.346790i
\(280\) −7.67361 1.06645i −0.458586 0.0637326i
\(281\) −14.9172 12.6148i −0.889884 0.752537i 0.0798230 0.996809i \(-0.474564\pi\)
−0.969707 + 0.244272i \(0.921451\pi\)
\(282\) −0.119979 + 0.766073i −0.00714464 + 0.0456190i
\(283\) −16.1227 + 8.94098i −0.958392 + 0.531486i −0.884885 0.465809i \(-0.845763\pi\)
−0.0735070 + 0.997295i \(0.523419\pi\)
\(284\) −17.4099 + 3.03542i −1.03309 + 0.180119i
\(285\) −5.99656 1.33242i −0.355206 0.0789259i
\(286\) −5.84116 8.46238i −0.345395 0.500391i
\(287\) −2.65466 + 3.40857i −0.156699 + 0.201202i
\(288\) −4.71353 2.61394i −0.277748 0.154028i
\(289\) −16.0563 5.56656i −0.944491 0.327445i
\(290\) 1.47224 0.907441i 0.0864528 0.0532868i
\(291\) −23.3281 2.15371i −1.36752 0.126252i
\(292\) −17.8879 + 14.7774i −1.04681 + 0.864780i
\(293\) −1.92200 + 5.06791i −0.112285 + 0.296070i −0.979365 0.202097i \(-0.935224\pi\)
0.867081 + 0.498168i \(0.165994\pi\)
\(294\) −2.04632 3.45198i −0.119344 0.201323i
\(295\) −0.852083 + 9.84812i −0.0496102 + 0.573380i
\(296\) −17.8225 + 13.3928i −1.03591 + 0.778438i
\(297\) −23.3074 + 2.15179i −1.35243 + 0.124860i
\(298\) 8.19958 8.15253i 0.474989 0.472263i
\(299\) 12.0165 + 4.79610i 0.694932 + 0.277366i
\(300\) −8.01548 + 2.88263i −0.462774 + 0.166428i
\(301\) −4.38523 + 1.29759i −0.252760 + 0.0747920i
\(302\) −0.169764 0.586094i −0.00976883 0.0337259i
\(303\) 19.7923 8.70316i 1.13704 0.499984i
\(304\) 3.51749 1.69393i 0.201742 0.0971538i
\(305\) −0.537952 + 10.3790i −0.0308031 + 0.594300i
\(306\) 2.40617 3.31983i 0.137551 0.189782i
\(307\) −3.41327 3.24094i −0.194806 0.184970i 0.584921 0.811090i \(-0.301125\pi\)
−0.779727 + 0.626120i \(0.784642\pi\)
\(308\) 8.19339 17.2672i 0.466862 0.983890i
\(309\) −4.91878 + 1.03369i −0.279820 + 0.0588047i
\(310\) 4.59737 4.07292i 0.261113 0.231326i
\(311\) 7.27735 2.90458i 0.412661 0.164704i −0.155097 0.987899i \(-0.549569\pi\)
0.567758 + 0.823195i \(0.307811\pi\)
\(312\) −4.86009 + 11.2275i −0.275148 + 0.635630i
\(313\) 4.03951 + 2.82273i 0.228327 + 0.159550i 0.681371 0.731938i \(-0.261384\pi\)
−0.453045 + 0.891488i \(0.649662\pi\)
\(314\) −3.98088 4.87570i −0.224654 0.275151i
\(315\) −2.32259 1.43157i −0.130863 0.0806599i
\(316\) 18.8975 + 14.2006i 1.06307 + 0.798844i
\(317\) 0.0483726 0.0539725i 0.00271688 0.00303140i −0.743323 0.668933i \(-0.766751\pi\)
0.746040 + 0.665901i \(0.231953\pi\)
\(318\) 0.215836 + 2.19953i 0.0121035 + 0.123344i
\(319\) 2.52133 + 9.98192i 0.141168 + 0.558880i
\(320\) 1.35532 2.17082i 0.0757649 0.121353i
\(321\) −0.128922 7.46800i −0.00719570 0.416823i
\(322\) −1.42415 9.83218i −0.0793650 0.547926i
\(323\) 8.79428 + 25.8460i 0.489327 + 1.43811i
\(324\) 4.62224 + 6.07794i 0.256791 + 0.337664i
\(325\) −5.81016 12.2446i −0.322289 0.679211i
\(326\) −2.54984 + 7.78656i −0.141222 + 0.431258i
\(327\) −5.64271 + 1.45988i −0.312043 + 0.0807316i
\(328\) −1.62514 3.05362i −0.0897335 0.168608i
\(329\) −1.03051 2.04866i −0.0568141 0.112946i
\(330\) −0.167226 4.14967i −0.00920549 0.228432i
\(331\) −4.81271 + 5.62513i −0.264531 + 0.309185i −0.876218 0.481915i \(-0.839942\pi\)
0.611687 + 0.791100i \(0.290491\pi\)
\(332\) −12.0837 8.03640i −0.663179 0.441055i
\(333\) −7.64400 + 1.79103i −0.418889 + 0.0981478i
\(334\) 0.0315161 1.09518i 0.00172448 0.0599255i
\(335\) 6.17326 1.98228i 0.337281 0.108303i
\(336\) −3.89643 + 0.450378i −0.212568 + 0.0245702i
\(337\) 1.28252 3.63169i 0.0698634 0.197831i −0.902795 0.430071i \(-0.858488\pi\)
0.972658 + 0.232241i \(0.0746057\pi\)
\(338\) 1.78389 + 0.572821i 0.0970310 + 0.0311574i
\(339\) −23.7099 4.69846i −1.28774 0.255185i
\(340\) −5.84095 4.71323i −0.316770 0.255611i
\(341\) 14.9103 + 33.3857i 0.807439 + 1.80794i
\(342\) −3.29093 + 0.113658i −0.177953 + 0.00614591i
\(343\) −10.0363 4.41323i −0.541912 0.238292i
\(344\) 0.483152 3.62955i 0.0260498 0.195692i
\(345\) 3.06670 + 4.23118i 0.165106 + 0.227799i
\(346\) −6.35652 + 4.12277i −0.341729 + 0.221642i
\(347\) −6.08814 9.75138i −0.326828 0.523482i 0.643445 0.765492i \(-0.277504\pi\)
−0.970274 + 0.242011i \(0.922193\pi\)
\(348\) 3.51644 3.66100i 0.188501 0.196250i
\(349\) −2.29030 7.27607i −0.122597 0.389479i 0.872472 0.488664i \(-0.162516\pi\)
−0.995069 + 0.0991851i \(0.968376\pi\)
\(350\) −5.91183 + 8.56476i −0.316001 + 0.457806i
\(351\) −13.4608 + 12.4898i −0.718484 + 0.666656i
\(352\) 15.7740 + 18.4367i 0.840757 + 0.982681i
\(353\) 2.19911 + 18.1113i 0.117047 + 0.963969i 0.926372 + 0.376609i \(0.122910\pi\)
−0.809325 + 0.587361i \(0.800167\pi\)
\(354\) −1.99075 11.8196i −0.105807 0.628206i
\(355\) 3.28505 10.8716i 0.174352 0.577003i
\(356\) 1.28551 + 20.2837i 0.0681321 + 1.07503i
\(357\) 0.157820 27.4284i 0.00835274 1.45167i
\(358\) 9.61936 + 2.84637i 0.508399 + 0.150436i
\(359\) 33.0358 1.90293i 1.74356 0.100433i 0.843758 0.536724i \(-0.180338\pi\)
0.899805 + 0.436292i \(0.143708\pi\)
\(360\) 1.80490 1.23056i 0.0951264 0.0648561i
\(361\) 1.60641 2.44584i 0.0845480 0.128728i
\(362\) 0.336756 + 1.75219i 0.0176995 + 0.0920930i
\(363\) 8.54924 + 2.31714i 0.448719 + 0.121619i
\(364\) −3.16804 14.6555i −0.166050 0.768155i
\(365\) −3.31794 14.5368i −0.173669 0.760892i
\(366\) −2.52075 12.3474i −0.131762 0.645411i
\(367\) 21.0368 14.7001i 1.09811 0.767339i 0.123749 0.992314i \(-0.460508\pi\)
0.974365 + 0.224975i \(0.0722299\pi\)
\(368\) −3.19536 0.905651i −0.166569 0.0472103i
\(369\) −0.0910352 1.21478i −0.00473910 0.0632389i
\(370\) −1.05338 5.84285i −0.0547625 0.303756i
\(371\) −4.30611 4.91731i −0.223562 0.255294i
\(372\) 10.0697 14.9537i 0.522092 0.775316i
\(373\) −0.393213 + 0.418923i −0.0203598 + 0.0216910i −0.739225 0.673458i \(-0.764808\pi\)
0.718866 + 0.695149i \(0.244662\pi\)
\(374\) −15.3692 + 10.2215i −0.794725 + 0.528541i
\(375\) 1.45045 11.9456i 0.0749011 0.616866i
\(376\) 1.83416 0.0844874i 0.0945897 0.00435710i
\(377\) 6.34363 + 4.99944i 0.326714 + 0.257484i
\(378\) 13.4735 + 4.15604i 0.693004 + 0.213764i
\(379\) 24.4137 3.10701i 1.25405 0.159596i 0.529196 0.848500i \(-0.322494\pi\)
0.724853 + 0.688903i \(0.241908\pi\)
\(380\) −0.104043 + 6.02686i −0.00533729 + 0.309171i
\(381\) −13.4905 8.74979i −0.691138 0.448265i
\(382\) −0.338943 6.53942i −0.0173419 0.334586i
\(383\) −0.585552 1.07036i −0.0299203 0.0546929i 0.861916 0.507051i \(-0.169264\pi\)
−0.891837 + 0.452358i \(0.850583\pi\)
\(384\) 4.14419 13.1657i 0.211482 0.671859i
\(385\) 7.54695 + 9.69026i 0.384628 + 0.493861i
\(386\) −1.92995 12.3228i −0.0982316 0.627215i
\(387\) 0.670264 1.10158i 0.0340714 0.0559965i
\(388\) 2.50817 + 22.8513i 0.127333 + 1.16010i
\(389\) 27.3807 + 20.0864i 1.38826 + 1.01842i 0.995092 + 0.0989550i \(0.0315500\pi\)
0.393164 + 0.919468i \(0.371380\pi\)
\(390\) −2.08948 2.49987i −0.105805 0.126586i
\(391\) 8.98036 21.4186i 0.454156 1.08319i
\(392\) −7.03956 + 6.38259i −0.355552 + 0.322370i
\(393\) 7.65107 16.6153i 0.385945 0.838131i
\(394\) −7.32188 + 10.3507i −0.368871 + 0.521463i
\(395\) −13.6098 + 6.74814i −0.684782 + 0.339536i
\(396\) 1.55879 + 5.15866i 0.0783321 + 0.259233i
\(397\) −18.8339 + 7.01909i −0.945249 + 0.352278i −0.774169 0.632979i \(-0.781832\pi\)
−0.171080 + 0.985257i \(0.554726\pi\)
\(398\) 12.3135 12.5279i 0.617218 0.627965i
\(399\) −17.4573 + 13.4354i −0.873956 + 0.672610i
\(400\) 1.80841 + 2.97213i 0.0904206 + 0.148607i
\(401\) −1.77621 + 1.50206i −0.0886996 + 0.0750095i −0.688981 0.724779i \(-0.741942\pi\)
0.600281 + 0.799789i \(0.295055\pi\)
\(402\) −6.64482 + 4.20193i −0.331414 + 0.209573i
\(403\) 25.2441 + 13.6219i 1.25750 + 0.678555i
\(404\) −12.2524 17.3209i −0.609579 0.861745i
\(405\) −4.82415 + 0.898411i −0.239714 + 0.0446424i
\(406\) 0.889046 6.13786i 0.0441226 0.304617i
\(407\) 35.0609 + 4.46202i 1.73790 + 0.221174i
\(408\) 20.0004 + 9.07075i 0.990169 + 0.449069i
\(409\) 6.58273 13.0864i 0.325495 0.647082i −0.669951 0.742405i \(-0.733685\pi\)
0.995446 + 0.0953229i \(0.0303883\pi\)
\(410\) 0.920965 0.0212001i 0.0454832 0.00104700i
\(411\) 5.07458 24.8569i 0.250311 1.22610i
\(412\) 1.95929 + 4.52622i 0.0965272 + 0.222991i
\(413\) 25.1377 + 24.9935i 1.23695 + 1.22985i
\(414\) 2.15963 + 1.78409i 0.106140 + 0.0876834i
\(415\) 8.10323 4.61644i 0.397772 0.226612i
\(416\) 18.6283 + 3.91478i 0.913328 + 0.191938i
\(417\) −12.2027 + 16.0457i −0.597567 + 0.785762i
\(418\) 14.0610 + 4.69426i 0.687747 + 0.229604i
\(419\) −30.1433 2.43341i −1.47259 0.118880i −0.682059 0.731297i \(-0.738915\pi\)
−0.790535 + 0.612417i \(0.790197\pi\)
\(420\) 2.08217 5.68674i 0.101599 0.277485i
\(421\) 1.61539 21.5559i 0.0787293 1.05057i −0.808274 0.588807i \(-0.799598\pi\)
0.887003 0.461763i \(-0.152783\pi\)
\(422\) 12.7238 1.32252i 0.619383 0.0643793i
\(423\) 0.603262 + 0.232766i 0.0293316 + 0.0113175i
\(424\) 5.00082 1.54255i 0.242861 0.0749127i
\(425\) −22.1567 + 10.0487i −1.07476 + 0.487432i
\(426\) −0.554509 + 13.7600i −0.0268660 + 0.666674i
\(427\) 27.3209 + 25.3501i 1.32215 + 1.22678i
\(428\) −7.15472 + 1.58976i −0.345837 + 0.0768441i
\(429\) 17.9300 7.39665i 0.865668 0.357113i
\(430\) 0.805678 + 0.549302i 0.0388532 + 0.0264897i
\(431\) 3.40168 + 2.04305i 0.163853 + 0.0984101i 0.594444 0.804137i \(-0.297372\pi\)
−0.430590 + 0.902547i \(0.641695\pi\)
\(432\) 3.10537 3.54614i 0.149407 0.170614i
\(433\) −2.24205 8.46479i −0.107746 0.406792i 0.891153 0.453703i \(-0.149897\pi\)
−0.998899 + 0.0469113i \(0.985062\pi\)
\(434\) −0.633580 22.0168i −0.0304128 1.05684i
\(435\) 1.08629 + 3.07601i 0.0520834 + 0.147483i
\(436\) 2.51114 + 5.13858i 0.120262 + 0.246093i
\(437\) −18.0030 + 4.87945i −0.861201 + 0.233416i
\(438\) 8.31002 + 16.0573i 0.397068 + 0.767246i
\(439\) 0.239724 0.286808i 0.0114414 0.0136886i −0.761525 0.648136i \(-0.775549\pi\)
0.772966 + 0.634447i \(0.218772\pi\)
\(440\) −9.54828 + 2.35344i −0.455197 + 0.112196i
\(441\) −3.17414 + 1.05968i −0.151149 + 0.0504611i
\(442\) −4.66443 + 13.7086i −0.221864 + 0.652050i
\(443\) 13.4998 + 2.51409i 0.641395 + 0.119448i 0.493766 0.869595i \(-0.335620\pi\)
0.147629 + 0.989043i \(0.452836\pi\)
\(444\) −7.28894 15.8289i −0.345918 0.751206i
\(445\) −12.0160 5.11956i −0.569615 0.242690i
\(446\) 11.0030 + 14.8191i 0.521007 + 0.701706i
\(447\) 11.7628 + 18.3667i 0.556364 + 0.868713i
\(448\) −2.85607 8.72173i −0.134937 0.412063i
\(449\) 11.1611 10.5976i 0.526723 0.500130i −0.378189 0.925728i \(-0.623453\pi\)
0.904912 + 0.425599i \(0.139937\pi\)
\(450\) −0.387199 2.90873i −0.0182527 0.137119i
\(451\) −1.52575 + 5.26750i −0.0718448 + 0.248037i
\(452\) 0.136470 + 23.7178i 0.00641900 + 1.11559i
\(453\) 1.14824 0.0794073i 0.0539488 0.00373088i
\(454\) 4.35738 6.80367i 0.204502 0.319312i
\(455\) 9.32854 + 2.41348i 0.437329 + 0.113146i
\(456\) −4.12234 17.1490i −0.193046 0.803077i
\(457\) −20.2111 + 14.4720i −0.945433 + 0.676973i −0.946390 0.323026i \(-0.895300\pi\)
0.000956900 1.00000i \(0.499695\pi\)
\(458\) 1.18118 + 13.6517i 0.0551930 + 0.637904i
\(459\) 21.9996 + 24.5464i 1.02685 + 1.14573i
\(460\) 3.46610 3.77894i 0.161608 0.176194i
\(461\) −4.67056 + 42.5523i −0.217530 + 1.98186i −0.0303122 + 0.999540i \(0.509650\pi\)
−0.187217 + 0.982318i \(0.559947\pi\)
\(462\) −11.8025 9.08341i −0.549104 0.422598i
\(463\) 30.4508 4.23195i 1.41517 0.196675i 0.611262 0.791428i \(-0.290662\pi\)
0.803909 + 0.594753i \(0.202750\pi\)
\(464\) −1.75234 1.10812i −0.0813505 0.0514430i
\(465\) 5.67694 + 10.0994i 0.263262 + 0.468348i
\(466\) 5.58208 + 6.99971i 0.258585 + 0.324255i
\(467\) 11.0221 18.5934i 0.510041 0.860398i −0.489894 0.871782i \(-0.662964\pi\)
0.999935 + 0.0113842i \(0.00362377\pi\)
\(468\) 3.43740 + 2.46134i 0.158894 + 0.113775i
\(469\) 8.74314 21.5448i 0.403721 0.994846i
\(470\) −0.199398 + 0.446472i −0.00919755 + 0.0205942i
\(471\) 10.5759 5.39633i 0.487309 0.248650i
\(472\) −26.4793 + 10.2169i −1.21881 + 0.470273i
\(473\) −4.55923 + 3.59314i −0.209633 + 0.165213i
\(474\) 13.9272 12.0552i 0.639696 0.553715i
\(475\) 17.3010 + 9.08025i 0.793823 + 0.416630i
\(476\) −26.4018 + 5.23190i −1.21012 + 0.239804i
\(477\) 1.83079 + 0.211617i 0.0838263 + 0.00968926i
\(478\) −3.52908 + 7.22162i −0.161416 + 0.330309i
\(479\) −1.70361 + 8.86413i −0.0778401 + 0.405013i 0.922001 + 0.387187i \(0.126553\pi\)
−0.999841 + 0.0178252i \(0.994326\pi\)
\(480\) 5.51400 + 5.35760i 0.251678 + 0.244540i
\(481\) 23.9326 14.0017i 1.09123 0.638422i
\(482\) −5.93795 + 7.99738i −0.270466 + 0.364271i
\(483\) 18.6951 + 1.29288i 0.850657 + 0.0588280i
\(484\) 0.549755 8.67439i 0.0249889 0.394290i
\(485\) −13.8432 5.15912i −0.628587 0.234263i
\(486\) −6.35811 + 2.97226i −0.288410 + 0.134825i
\(487\) 24.5302 + 22.2409i 1.11157 + 1.00783i 0.999901 + 0.0140845i \(0.00448337\pi\)
0.111667 + 0.993746i \(0.464381\pi\)
\(488\) −27.4528 + 11.6966i −1.24273 + 0.529479i
\(489\) −13.3398 7.80442i −0.603246 0.352928i
\(490\) −0.676028 2.43859i −0.0305398 0.110164i
\(491\) −0.965058 2.63573i −0.0435525 0.118949i 0.915373 0.402606i \(-0.131896\pi\)
−0.958926 + 0.283657i \(0.908452\pi\)
\(492\) 2.60147 0.737328i 0.117283 0.0332413i
\(493\) 9.16953 11.2306i 0.412975 0.505802i
\(494\) 10.9879 3.80939i 0.494370 0.171393i
\(495\) −3.41173 0.594835i −0.153346 0.0267358i
\(496\) −6.80686 2.80803i −0.305637 0.126084i
\(497\) −22.3584 34.0417i −1.00291 1.52698i
\(498\) −8.11041 + 7.88037i −0.363436 + 0.353128i
\(499\) 1.04516 3.77012i 0.0467876 0.168774i −0.936560 0.350506i \(-0.886009\pi\)
0.983348 + 0.181733i \(0.0581706\pi\)
\(500\) −11.7696 + 0.950143i −0.526354 + 0.0424917i
\(501\) 2.00661 + 0.494585i 0.0896488 + 0.0220964i
\(502\) −4.57704 + 3.35771i −0.204283 + 0.149862i
\(503\) −19.0679 20.7890i −0.850197 0.926934i 0.147875 0.989006i \(-0.452757\pi\)
−0.998072 + 0.0620717i \(0.980229\pi\)
\(504\) 0.765037 7.79629i 0.0340775 0.347275i
\(505\) 13.4821 2.03210i 0.599947 0.0904275i
\(506\) −6.30532 10.9211i −0.280306 0.485504i
\(507\) −1.76707 + 3.06066i −0.0784783 + 0.135928i
\(508\) −5.76449 + 14.6877i −0.255758 + 0.651660i
\(509\) 28.6473 15.0353i 1.26977 0.666426i 0.310945 0.950428i \(-0.399355\pi\)
0.958824 + 0.284002i \(0.0916623\pi\)
\(510\) −4.55150 + 3.67274i −0.201544 + 0.162632i
\(511\) −47.6292 24.3028i −2.10699 1.07509i
\(512\) −9.19151 0.955374i −0.406211 0.0422220i
\(513\) 4.69690 26.0526i 0.207373 1.15025i
\(514\) −6.01720 + 3.61393i −0.265407 + 0.159403i
\(515\) −3.16430 0.182270i −0.139436 0.00803176i
\(516\) 2.69329 + 0.968595i 0.118566 + 0.0426400i
\(517\) −2.17884 1.93029i −0.0958254 0.0848939i
\(518\) −18.4994 10.5392i −0.812815 0.463064i
\(519\) −5.06776 13.3626i −0.222450 0.586552i
\(520\) −4.81017 + 6.03176i −0.210940 + 0.264510i
\(521\) 22.1009 + 3.59174i 0.968257 + 0.157357i 0.623919 0.781489i \(-0.285539\pi\)
0.344338 + 0.938846i \(0.388103\pi\)
\(522\) 0.976757 + 1.45050i 0.0427515 + 0.0634867i
\(523\) 8.81930 33.2969i 0.385641 1.45597i −0.443166 0.896439i \(-0.646145\pi\)
0.828807 0.559534i \(-0.189020\pi\)
\(524\) −17.4764 4.09480i −0.763458 0.178882i
\(525\) −13.4347 14.3131i −0.586336 0.624673i
\(526\) −2.90973 + 0.472876i −0.126870 + 0.0206184i
\(527\) 25.2307 44.8859i 1.09907 1.95526i
\(528\) −4.38162 + 2.36436i −0.190686 + 0.102895i
\(529\) −6.38999 3.16836i −0.277826 0.137755i
\(530\) −0.231475 + 1.37433i −0.0100546 + 0.0596972i
\(531\) −9.98454 0.459920i −0.433292 0.0199588i
\(532\) 16.3438 + 14.1470i 0.708593 + 0.613351i
\(533\) 1.57180 + 4.00488i 0.0680821 + 0.173470i
\(534\) 15.6607 + 2.36047i 0.677704 + 0.102147i
\(535\) 1.15348 4.56660i 0.0498692 0.197431i
\(536\) 12.8960 + 13.4262i 0.557023 + 0.579922i
\(537\) −9.08160 + 16.6007i −0.391900 + 0.716374i
\(538\) 11.3910 + 5.48559i 0.491099 + 0.236501i
\(539\) 15.0556 + 0.519971i 0.648491 + 0.0223967i
\(540\) 2.73660 + 6.74351i 0.117764 + 0.290194i
\(541\) 1.32100 5.49540i 0.0567943 0.236266i −0.936702 0.350126i \(-0.886139\pi\)
0.993497 + 0.113861i \(0.0363218\pi\)
\(542\) 5.12616 9.63200i 0.220188 0.413730i
\(543\) −3.36471 0.0774536i −0.144394 0.00332385i
\(544\) 7.60342 33.3128i 0.325994 1.42827i
\(545\) −3.67522 0.0422950i −0.157429 0.00181172i
\(546\) −11.6839 −0.500025
\(547\) 23.1594 + 3.26210i 0.990225 + 0.139477i
\(548\) −24.8945 −1.06344
\(549\) −10.5081 0.120929i −0.448476 0.00516114i
\(550\) −2.93950 + 12.8788i −0.125341 + 0.549153i
\(551\) −11.6410 0.267969i −0.495923 0.0114159i
\(552\) −7.04912 + 13.2452i −0.300031 + 0.563754i
\(553\) −12.7324 + 52.9672i −0.541438 + 2.25240i
\(554\) −5.08056 12.5195i −0.215852 0.531902i
\(555\) 11.1922 + 0.386543i 0.475084 + 0.0164079i
\(556\) 17.8221 + 8.58268i 0.755826 + 0.363987i
\(557\) −7.56078 + 13.8207i −0.320360 + 0.585603i −0.987179 0.159617i \(-0.948974\pi\)
0.666819 + 0.745220i \(0.267656\pi\)
\(558\) 4.30217 + 4.47904i 0.182126 + 0.189613i
\(559\) −1.11527 + 4.41536i −0.0471711 + 0.186750i
\(560\) −2.44583 0.368649i −0.103355 0.0155783i
\(561\) −12.7199 32.4099i −0.537037 1.36835i
\(562\) 11.2946 + 9.77647i 0.476433 + 0.412396i
\(563\) 15.6750 + 0.722041i 0.660623 + 0.0304304i 0.373737 0.927535i \(-0.378076\pi\)
0.286885 + 0.957965i \(0.407380\pi\)
\(564\) −0.238377 + 1.41531i −0.0100375 + 0.0595954i
\(565\) −13.6557 6.77093i −0.574501 0.284855i
\(566\) 12.4060 6.69436i 0.521462 0.281385i
\(567\) −8.62271 + 15.3400i −0.362120 + 0.644219i
\(568\) 32.1867 5.23084i 1.35052 0.219481i
\(569\) −16.1838 17.2420i −0.678462 0.722821i 0.294021 0.955799i \(-0.405007\pi\)
−0.972482 + 0.232978i \(0.925153\pi\)
\(570\) 4.57321 + 1.07153i 0.191551 + 0.0448813i
\(571\) −5.30257 + 20.0197i −0.221906 + 0.837797i 0.760235 + 0.649648i \(0.225084\pi\)
−0.982141 + 0.188148i \(0.939751\pi\)
\(572\) −10.6307 15.7868i −0.444492 0.660079i
\(573\) 12.1918 + 1.98135i 0.509318 + 0.0827722i
\(574\) 2.05973 2.58282i 0.0859714 0.107805i
\(575\) −5.89417 15.5416i −0.245804 0.648132i
\(576\) 2.24843 + 1.28094i 0.0936846 + 0.0533725i
\(577\) −10.7063 9.48497i −0.445710 0.394864i 0.410195 0.911998i \(-0.365461\pi\)
−0.855905 + 0.517133i \(0.826999\pi\)
\(578\) 12.2276 + 4.39744i 0.508602 + 0.182909i
\(579\) 23.4887 + 1.35299i 0.976156 + 0.0562284i
\(580\) 2.74418 1.64816i 0.113946 0.0684359i
\(581\) 5.93377 32.9133i 0.246174 1.36547i
\(582\) 17.8176 + 1.85198i 0.738563 + 0.0767669i
\(583\) −7.39027 3.77089i −0.306074 0.156174i
\(584\) 33.3178 26.8852i 1.37870 1.11252i
\(585\) −2.40571 + 1.26261i −0.0994638 + 0.0522026i
\(586\) 1.51415 3.85798i 0.0625488 0.159372i
\(587\) −9.79827 + 16.9711i −0.404418 + 0.700473i −0.994254 0.107051i \(-0.965859\pi\)
0.589836 + 0.807523i \(0.299193\pi\)
\(588\) −3.71386 6.43259i −0.153157 0.265276i
\(589\) −40.8917 + 6.16344i −1.68492 + 0.253960i
\(590\) 0.738153 7.52232i 0.0303893 0.309689i
\(591\) −16.1655 17.6245i −0.664958 0.724977i
\(592\) −5.73892 + 4.21007i −0.235868 + 0.173033i
\(593\) 9.17152 + 2.26058i 0.376629 + 0.0928308i 0.423086 0.906090i \(-0.360947\pi\)
−0.0464567 + 0.998920i \(0.514793\pi\)
\(594\) 17.8396 1.44016i 0.731969 0.0590907i
\(595\) 4.62074 16.6681i 0.189432 0.683324i
\(596\) 15.3496 14.9143i 0.628745 0.610912i
\(597\) 18.1900 + 27.6952i 0.744469 + 1.13349i
\(598\) −9.14555 3.77281i −0.373989 0.154282i
\(599\) 20.5704 + 3.58645i 0.840483 + 0.146538i 0.575589 0.817739i \(-0.304773\pi\)
0.264894 + 0.964278i \(0.414663\pi\)
\(600\) 14.8502 5.14840i 0.606256 0.210182i
\(601\) −26.1380 + 32.0132i −1.06619 + 1.30585i −0.116317 + 0.993212i \(0.537109\pi\)
−0.949873 + 0.312635i \(0.898788\pi\)
\(602\) 3.36434 0.953546i 0.137120 0.0388636i
\(603\) 2.25410 + 6.15632i 0.0917940 + 0.250705i
\(604\) −0.301720 1.08837i −0.0122768 0.0442853i
\(605\) 4.82118 + 2.82062i 0.196009 + 0.114675i
\(606\) −15.2097 + 6.48024i −0.617851 + 0.263242i
\(607\) 29.4300 + 26.6835i 1.19453 + 1.08305i 0.994658 + 0.103226i \(0.0329164\pi\)
0.199870 + 0.979822i \(0.435948\pi\)
\(608\) −24.8600 + 11.6214i −1.00821 + 0.471312i
\(609\) 10.9620 + 4.08535i 0.444203 + 0.165547i
\(610\) 0.502641 7.93100i 0.0203513 0.321117i
\(611\) −2.27820 0.157551i −0.0921659 0.00637382i
\(612\) 4.52411 6.09318i 0.182876 0.246302i
\(613\) 36.0427 21.0867i 1.45575 0.851683i 0.456474 0.889737i \(-0.349112\pi\)
0.999276 + 0.0380534i \(0.0121157\pi\)
\(614\) 2.58125 + 2.50804i 0.104171 + 0.101216i
\(615\) −0.327961 + 1.70643i −0.0132247 + 0.0688097i
\(616\) −15.4838 + 31.6849i −0.623862 + 1.27662i
\(617\) 34.1311 + 3.94512i 1.37407 + 0.158825i 0.769966 0.638085i \(-0.220273\pi\)
0.604099 + 0.796909i \(0.293533\pi\)
\(618\) 3.76997 0.747075i 0.151650 0.0300518i
\(619\) −25.4248 13.3440i −1.02191 0.536339i −0.131411 0.991328i \(-0.541951\pi\)
−0.890497 + 0.454989i \(0.849643\pi\)
\(620\) 8.59569 7.44034i 0.345211 0.298811i
\(621\) −17.6875 + 13.9396i −0.709774 + 0.559375i
\(622\) −5.58978 + 2.15679i −0.224130 + 0.0864796i
\(623\) −41.7214 + 21.2884i −1.67153 + 0.852901i
\(624\) −1.59280 + 3.56643i −0.0637630 + 0.142772i
\(625\) −4.99197 + 12.3012i −0.199679 + 0.492048i
\(626\) −3.06375 2.19378i −0.122452 0.0876813i
\(627\) −14.2587 + 24.0533i −0.569439 + 0.960596i
\(628\) −7.26407 9.10885i −0.289868 0.363483i
\(629\) −24.3887 43.3879i −0.972440 1.72999i
\(630\) 1.76324 + 1.11501i 0.0702493 + 0.0444230i
\(631\) −27.8697 + 3.87323i −1.10947 + 0.154191i −0.668775 0.743464i \(-0.733181\pi\)
−0.440698 + 0.897655i \(0.645269\pi\)
\(632\) −34.5653 26.6020i −1.37494 1.05817i
\(633\) −2.63269 + 23.9858i −0.104640 + 0.953350i
\(634\) −0.0374603 + 0.0408414i −0.00148774 + 0.00162202i
\(635\) −6.76747 7.55092i −0.268559 0.299649i
\(636\) 0.352626 + 4.07555i 0.0139825 + 0.161606i
\(637\) 9.60896 6.88046i 0.380721 0.272614i
\(638\) −1.83997 7.65431i −0.0728449 0.303037i
\(639\) 11.1176 + 2.87635i 0.439806 + 0.113787i
\(640\) 4.69418 7.32956i 0.185554 0.289726i
\(641\) 14.1340 0.977448i 0.558258 0.0386069i 0.212893 0.977075i \(-0.431711\pi\)
0.345365 + 0.938469i \(0.387755\pi\)
\(642\) 0.0328612 + 5.71112i 0.00129693 + 0.225400i
\(643\) 2.44855 8.45336i 0.0965612 0.333368i −0.897664 0.440680i \(-0.854737\pi\)
0.994225 + 0.107312i \(0.0342245\pi\)
\(644\) −2.42644 18.2280i −0.0956151 0.718283i
\(645\) −1.33384 + 1.26650i −0.0525200 + 0.0498684i
\(646\) −6.49664 19.8391i −0.255607 0.780560i
\(647\) −10.4781 16.3607i −0.411938 0.643206i 0.572302 0.820043i \(-0.306051\pi\)
−0.984240 + 0.176838i \(0.943413\pi\)
\(648\) −8.39920 11.3123i −0.329952 0.444387i
\(649\) 41.3954 + 17.6369i 1.62491 + 0.692310i
\(650\) 4.33467 + 9.41331i 0.170020 + 0.369220i
\(651\) 40.8448 + 7.60660i 1.60083 + 0.298126i
\(652\) −4.88515 + 14.3573i −0.191317 + 0.562273i
\(653\) −23.5822 + 7.87289i −0.922842 + 0.308090i −0.738095 0.674696i \(-0.764275\pi\)
−0.184746 + 0.982786i \(0.559146\pi\)
\(654\) 4.32723 1.06657i 0.169208 0.0417061i
\(655\) 7.39767 8.85062i 0.289051 0.345822i
\(656\) −0.507597 0.980819i −0.0198183 0.0382946i
\(657\) 14.5519 3.94408i 0.567724 0.153873i
\(658\) 0.769899 + 1.57546i 0.0300138 + 0.0614177i
\(659\) 7.22003 + 20.4448i 0.281253 + 0.796417i 0.995346 + 0.0963661i \(0.0307220\pi\)
−0.714093 + 0.700050i \(0.753161\pi\)
\(660\) −0.221120 7.68388i −0.00860708 0.299095i
\(661\) −2.81435 10.6255i −0.109466 0.413284i 0.889589 0.456763i \(-0.150991\pi\)
−0.999054 + 0.0434787i \(0.986156\pi\)
\(662\) 3.72927 4.25859i 0.144942 0.165515i
\(663\) −23.4154 14.0633i −0.909379 0.546173i
\(664\) 22.1244 + 15.0841i 0.858592 + 0.585378i
\(665\) −12.8416 + 5.29752i −0.497974 + 0.205429i
\(666\) 5.86032 1.30215i 0.227083 0.0504573i
\(667\) 7.26130 + 6.73750i 0.281159 + 0.260877i
\(668\) 0.0816576 2.02631i 0.00315943 0.0784004i
\(669\) −31.7071 + 14.3800i −1.22587 + 0.555965i
\(670\) −4.73748 + 1.46132i −0.183025 + 0.0564557i
\(671\) 44.1370 + 17.0301i 1.70389 + 0.657438i
\(672\) 27.4228 2.85035i 1.05786 0.109955i
\(673\) −2.80674 + 37.4534i −0.108192 + 1.44372i 0.633896 + 0.773418i \(0.281455\pi\)
−0.742088 + 0.670303i \(0.766164\pi\)
\(674\) −1.01256 + 2.76548i −0.0390025 + 0.106522i
\(675\) 23.5140 + 1.89825i 0.905055 + 0.0730636i
\(676\) 3.28947 + 1.09819i 0.126518 + 0.0422380i
\(677\) −3.94802 + 5.19140i −0.151735 + 0.199522i −0.865564 0.500798i \(-0.833040\pi\)
0.713829 + 0.700320i \(0.246959\pi\)
\(678\) 18.0871 + 3.80104i 0.694630 + 0.145978i
\(679\) −46.0324 + 26.2248i −1.76656 + 1.00642i
\(680\) 10.6768 + 8.82018i 0.409435 + 0.338238i
\(681\) 10.8072 + 10.7452i 0.414135 + 0.411759i
\(682\) −11.1066 25.6577i −0.425293 0.982484i
\(683\) −3.73458 + 18.2932i −0.142900 + 0.699969i 0.843701 + 0.536814i \(0.180372\pi\)
−0.986600 + 0.163155i \(0.947833\pi\)
\(684\) −6.09335 + 0.140265i −0.232985 + 0.00536318i
\(685\) 7.18908 14.2919i 0.274681 0.546064i
\(686\) 7.63490 + 3.46264i 0.291502 + 0.132204i
\(687\) −25.6404 3.26312i −0.978241 0.124496i
\(688\) 0.167578 1.15693i 0.00638883 0.0441077i
\(689\) −6.39886 + 1.19167i −0.243777 + 0.0453991i
\(690\) −2.30755 3.26212i −0.0878470 0.124187i
\(691\) 9.18533 + 4.95648i 0.349427 + 0.188553i 0.640143 0.768256i \(-0.278875\pi\)
−0.290716 + 0.956809i \(0.593894\pi\)
\(692\) −11.8526 + 7.49514i −0.450569 + 0.284923i
\(693\) −9.48309 + 8.01944i −0.360233 + 0.304633i
\(694\) 4.56915 + 7.50942i 0.173443 + 0.285054i
\(695\) −10.0740 + 7.75310i −0.382129 + 0.294092i
\(696\) −6.56575 + 6.68007i −0.248874 + 0.253207i
\(697\) 7.23665 2.69697i 0.274108 0.102155i
\(698\) 1.68713 + 5.58339i 0.0638587 + 0.211335i
\(699\) −15.1300 + 7.50193i −0.572270 + 0.283749i
\(700\) −11.1242 + 15.7260i −0.420455 + 0.594385i
\(701\) −8.44204 + 18.3330i −0.318851 + 0.692428i −0.999180 0.0404791i \(-0.987112\pi\)
0.680329 + 0.732907i \(0.261837\pi\)
\(702\) 10.4019 9.43118i 0.392596 0.355957i
\(703\) −15.4564 + 36.8644i −0.582950 + 1.39037i
\(704\) −7.47092 8.93825i −0.281571 0.336873i
\(705\) −0.743687 0.545568i −0.0280089 0.0205473i
\(706\) −1.52207 13.8672i −0.0572838 0.521898i
\(707\) 25.4152 41.7700i 0.955837 1.57092i
\(708\) −3.43277 21.9185i −0.129011 0.823746i
\(709\) 7.44286 + 9.55662i 0.279523 + 0.358906i 0.908036 0.418893i \(-0.137582\pi\)
−0.628513 + 0.777799i \(0.716336\pi\)
\(710\) −2.60739 + 8.28344i −0.0978537 + 0.310872i
\(711\) −7.37197 13.4756i −0.276470 0.505375i
\(712\) −1.94115 37.4517i −0.0727478 1.40356i
\(713\) 29.5149 + 19.1431i 1.10534 + 0.716914i
\(714\) −0.362014 + 20.9702i −0.0135480 + 0.784792i
\(715\) 12.1331 1.54412i 0.453753 0.0577468i
\(716\) 17.7431 + 5.47303i 0.663092 + 0.204537i
\(717\) −11.9079 9.38469i −0.444710 0.350478i
\(718\) −25.2757 + 1.16428i −0.943282 + 0.0434506i
\(719\) −4.88559 + 40.2364i −0.182202 + 1.50057i 0.558935 + 0.829211i \(0.311210\pi\)
−0.741137 + 0.671354i \(0.765713\pi\)
\(720\) 0.580722 0.386216i 0.0216422 0.0143934i
\(721\) −7.77886 + 8.28747i −0.289700 + 0.308641i
\(722\) −1.24978 + 1.85594i −0.0465118 + 0.0690708i
\(723\) −12.3782 14.1351i −0.460349 0.525689i
\(724\) 0.585956 + 3.25017i 0.0217769 + 0.120792i
\(725\) −0.775427 10.3474i −0.0287986 0.384291i
\(726\) −6.51631 1.84690i −0.241843 0.0685449i
\(727\) 28.1953 19.7023i 1.04570 0.730717i 0.0817147 0.996656i \(-0.473960\pi\)
0.963990 + 0.265939i \(0.0856820\pi\)
\(728\) 5.53400 + 27.1073i 0.205104 + 1.00467i
\(729\) −6.54754 28.6867i −0.242502 1.06247i
\(730\) 2.40897 + 11.1440i 0.0891598 + 0.412457i
\(731\) 7.89012 + 2.13850i 0.291827 + 0.0790952i
\(732\) −4.40247 22.9066i −0.162720 0.846653i
\(733\) −18.9440 + 28.8431i −0.699712 + 1.06534i 0.294262 + 0.955725i \(0.404926\pi\)
−0.993974 + 0.109618i \(0.965037\pi\)
\(734\) −16.2140 + 11.0545i −0.598469 + 0.408029i
\(735\) 4.76543 0.274498i 0.175775 0.0101250i
\(736\) 22.3856 + 6.62390i 0.825143 + 0.244160i
\(737\) 0.169816 29.5133i 0.00625527 1.08714i
\(738\) 0.0589161 + 0.929615i 0.00216873 + 0.0342196i
\(739\) −6.38445 + 21.1288i −0.234856 + 0.777234i 0.757392 + 0.652960i \(0.226473\pi\)
−0.992248 + 0.124273i \(0.960340\pi\)
\(740\) −1.82517 10.8365i −0.0670945 0.398359i
\(741\) 2.64415 + 21.7766i 0.0971354 + 0.799982i
\(742\) 3.24916 + 3.79764i 0.119280 + 0.139416i
\(743\) −3.82754 + 3.55144i −0.140419 + 0.130290i −0.747255 0.664537i \(-0.768629\pi\)
0.606836 + 0.794827i \(0.292438\pi\)
\(744\) −18.8967 + 27.3766i −0.692787 + 1.00368i
\(745\) 4.12954 + 13.1192i 0.151295 + 0.480649i
\(746\) 0.304335 0.316846i 0.0111425 0.0116006i
\(747\) 4.99405 + 7.99898i 0.182723 + 0.292667i
\(748\) −28.6635 + 18.5908i −1.04804 + 0.679749i
\(749\) −9.91234 13.6762i