Properties

Label 475.2.bc.a.6.3
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.3
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.19199 - 1.36971i) q^{2} +(-1.37858 + 0.395301i) q^{3} +(2.05198 + 4.20718i) q^{4} +(-2.03188 - 0.933532i) q^{5} +(3.56327 + 1.02175i) q^{6} +(1.36546 - 2.36504i) q^{7} +(0.724330 - 6.89154i) q^{8} +(-0.799932 + 0.499853i) q^{9} +O(q^{10})\) \(q+(-2.19199 - 1.36971i) q^{2} +(-1.37858 + 0.395301i) q^{3} +(2.05198 + 4.20718i) q^{4} +(-2.03188 - 0.933532i) q^{5} +(3.56327 + 1.02175i) q^{6} +(1.36546 - 2.36504i) q^{7} +(0.724330 - 6.89154i) q^{8} +(-0.799932 + 0.499853i) q^{9} +(3.17519 + 4.82937i) q^{10} +(-2.40200 + 2.66769i) q^{11} +(-4.49192 - 4.98878i) q^{12} +(0.0645208 + 1.84763i) q^{13} +(-6.23248 + 3.31387i) q^{14} +(3.17012 + 0.483743i) q^{15} +(-5.26340 + 6.73685i) q^{16} +(0.321897 - 0.0225092i) q^{17} +2.43810 q^{18} +(-4.02292 + 1.67812i) q^{19} +(-0.241831 - 10.4641i) q^{20} +(-0.947485 + 3.80015i) q^{21} +(8.91910 - 2.55751i) q^{22} +(-2.55662 + 0.359309i) q^{23} +(1.72569 + 9.78685i) q^{24} +(3.25704 + 3.79364i) q^{25} +(2.38929 - 4.13837i) q^{26} +(3.78404 - 4.20261i) q^{27} +(12.7520 + 0.891709i) q^{28} +(3.37880 + 0.236269i) q^{29} +(-6.28629 - 5.40250i) q^{30} +(8.51444 - 3.79087i) q^{31} +(7.74162 - 2.81772i) q^{32} +(2.25680 - 4.62712i) q^{33} +(-0.736425 - 0.391564i) q^{34} +(-4.98227 + 3.53077i) q^{35} +(-3.74442 - 2.33977i) q^{36} +(0.407467 - 1.25405i) q^{37} +(11.1167 + 1.83181i) q^{38} +(-0.819317 - 2.52160i) q^{39} +(-7.90522 + 13.3266i) q^{40} +(5.22035 - 6.68175i) q^{41} +(7.28198 - 7.03212i) q^{42} +(0.627112 + 3.55653i) q^{43} +(-16.1523 - 4.63160i) q^{44} +(2.09199 - 0.268877i) q^{45} +(6.09623 + 2.71422i) q^{46} +(3.45438 + 0.241554i) q^{47} +(4.59292 - 11.3679i) q^{48} +(-0.228937 - 0.396531i) q^{49} +(-1.94322 - 12.7768i) q^{50} +(-0.434861 + 0.158277i) q^{51} +(-7.64094 + 4.06276i) q^{52} +(-4.61623 - 9.46467i) q^{53} +(-14.0509 + 4.02904i) q^{54} +(7.37093 - 3.17807i) q^{55} +(-15.3097 - 11.1232i) q^{56} +(4.88255 - 3.90368i) q^{57} +(-7.08268 - 5.14587i) q^{58} +(-0.613692 - 1.51894i) q^{59} +(4.46983 + 14.3299i) q^{60} +(0.426503 - 0.0599411i) q^{61} +(-23.8560 - 3.35274i) q^{62} +(0.0898999 + 2.57440i) q^{63} +(-4.10430 - 0.872396i) q^{64} +(1.59373 - 3.81439i) q^{65} +(-11.2847 + 7.05145i) q^{66} +(-3.09679 - 12.4205i) q^{67} +(0.755226 + 1.30809i) q^{68} +(3.38246 - 1.50597i) q^{69} +(15.7572 - 0.915152i) q^{70} +(9.57394 + 9.24544i) q^{71} +(2.86534 + 5.87482i) q^{72} +(-0.346294 + 9.91655i) q^{73} +(-2.61085 + 2.19076i) q^{74} +(-5.98971 - 3.94232i) q^{75} +(-15.3151 - 13.4817i) q^{76} +(3.02936 + 9.32342i) q^{77} +(-1.65792 + 6.64955i) q^{78} +(15.4131 - 4.41964i) q^{79} +(16.9836 - 8.77488i) q^{80} +(-2.31481 + 4.74605i) q^{81} +(-20.5950 + 7.49597i) q^{82} +(11.7700 - 5.24033i) q^{83} +(-17.9322 + 3.81160i) q^{84} +(-0.675067 - 0.254765i) q^{85} +(3.49678 - 8.65484i) q^{86} +(-4.75133 + 1.00993i) q^{87} +(16.6446 + 18.4857i) q^{88} +(7.56771 + 9.68622i) q^{89} +(-4.95391 - 2.27604i) q^{90} +(4.45782 + 2.37027i) q^{91} +(-6.75781 - 10.0189i) q^{92} +(-10.2393 + 8.59178i) q^{93} +(-7.24110 - 5.26097i) q^{94} +(9.74066 + 0.345797i) q^{95} +(-9.55858 + 6.94472i) q^{96} +(-0.505831 + 2.02878i) q^{97} +(-0.0413032 + 1.18277i) q^{98} +(0.587982 - 3.33461i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.19199 1.36971i −1.54997 0.968530i −0.990165 0.139906i \(-0.955320\pi\)
−0.559807 0.828623i \(-0.689125\pi\)
\(3\) −1.37858 + 0.395301i −0.795922 + 0.228227i −0.648867 0.760901i \(-0.724757\pi\)
−0.147054 + 0.989128i \(0.546979\pi\)
\(4\) 2.05198 + 4.20718i 1.02599 + 2.10359i
\(5\) −2.03188 0.933532i −0.908682 0.417488i
\(6\) 3.56327 + 1.02175i 1.45470 + 0.417129i
\(7\) 1.36546 2.36504i 0.516094 0.893900i −0.483732 0.875216i \(-0.660719\pi\)
0.999825 0.0186841i \(-0.00594769\pi\)
\(8\) 0.724330 6.89154i 0.256090 2.43653i
\(9\) −0.799932 + 0.499853i −0.266644 + 0.166618i
\(10\) 3.17519 + 4.82937i 1.00408 + 1.52718i
\(11\) −2.40200 + 2.66769i −0.724229 + 0.804338i −0.987034 0.160511i \(-0.948686\pi\)
0.262805 + 0.964849i \(0.415352\pi\)
\(12\) −4.49192 4.98878i −1.29670 1.44014i
\(13\) 0.0645208 + 1.84763i 0.0178948 + 0.512441i 0.974936 + 0.222488i \(0.0714177\pi\)
−0.957041 + 0.289954i \(0.906360\pi\)
\(14\) −6.23248 + 3.31387i −1.66570 + 0.885668i
\(15\) 3.17012 + 0.483743i 0.818522 + 0.124902i
\(16\) −5.26340 + 6.73685i −1.31585 + 1.68421i
\(17\) 0.321897 0.0225092i 0.0780714 0.00545928i −0.0306673 0.999530i \(-0.509763\pi\)
0.108739 + 0.994070i \(0.465319\pi\)
\(18\) 2.43810 0.574665
\(19\) −4.02292 + 1.67812i −0.922922 + 0.384987i
\(20\) −0.241831 10.4641i −0.0540750 2.33984i
\(21\) −0.947485 + 3.80015i −0.206758 + 0.829261i
\(22\) 8.91910 2.55751i 1.90156 0.545263i
\(23\) −2.55662 + 0.359309i −0.533092 + 0.0749211i −0.400583 0.916261i \(-0.631192\pi\)
−0.132509 + 0.991182i \(0.542303\pi\)
\(24\) 1.72569 + 9.78685i 0.352254 + 1.99773i
\(25\) 3.25704 + 3.79364i 0.651408 + 0.758728i
\(26\) 2.38929 4.13837i 0.468578 0.811601i
\(27\) 3.78404 4.20261i 0.728239 0.808792i
\(28\) 12.7520 + 0.891709i 2.40991 + 0.168517i
\(29\) 3.37880 + 0.236269i 0.627428 + 0.0438740i 0.379931 0.925015i \(-0.375948\pi\)
0.247496 + 0.968889i \(0.420392\pi\)
\(30\) −6.28629 5.40250i −1.14771 0.986358i
\(31\) 8.51444 3.79087i 1.52924 0.680861i 0.542040 0.840353i \(-0.317652\pi\)
0.987199 + 0.159492i \(0.0509856\pi\)
\(32\) 7.74162 2.81772i 1.36854 0.498107i
\(33\) 2.25680 4.62712i 0.392858 0.805479i
\(34\) −0.736425 0.391564i −0.126296 0.0671527i
\(35\) −4.98227 + 3.53077i −0.842158 + 0.596809i
\(36\) −3.74442 2.33977i −0.624070 0.389962i
\(37\) 0.407467 1.25405i 0.0669871 0.206165i −0.911960 0.410279i \(-0.865431\pi\)
0.978947 + 0.204114i \(0.0654313\pi\)
\(38\) 11.1167 + 1.83181i 1.80337 + 0.297159i
\(39\) −0.819317 2.52160i −0.131196 0.403779i
\(40\) −7.90522 + 13.3266i −1.24993 + 2.10712i
\(41\) 5.22035 6.68175i 0.815282 1.04351i −0.182893 0.983133i \(-0.558546\pi\)
0.998175 0.0603810i \(-0.0192316\pi\)
\(42\) 7.28198 7.03212i 1.12363 1.08508i
\(43\) 0.627112 + 3.55653i 0.0956337 + 0.542365i 0.994551 + 0.104248i \(0.0332435\pi\)
−0.898918 + 0.438118i \(0.855645\pi\)
\(44\) −16.1523 4.63160i −2.43505 0.698240i
\(45\) 2.09199 0.268877i 0.311856 0.0400819i
\(46\) 6.09623 + 2.71422i 0.898840 + 0.400189i
\(47\) 3.45438 + 0.241554i 0.503873 + 0.0352342i 0.319432 0.947609i \(-0.396508\pi\)
0.184441 + 0.982844i \(0.440952\pi\)
\(48\) 4.59292 11.3679i 0.662932 1.64081i
\(49\) −0.228937 0.396531i −0.0327053 0.0566473i
\(50\) −1.94322 12.7768i −0.274813 1.80691i
\(51\) −0.434861 + 0.158277i −0.0608928 + 0.0221632i
\(52\) −7.64094 + 4.06276i −1.05961 + 0.563403i
\(53\) −4.61623 9.46467i −0.634088 1.30007i −0.937756 0.347295i \(-0.887100\pi\)
0.303668 0.952778i \(-0.401789\pi\)
\(54\) −14.0509 + 4.02904i −1.91209 + 0.548283i
\(55\) 7.37093 3.17807i 0.993896 0.428531i
\(56\) −15.3097 11.1232i −2.04585 1.48640i
\(57\) 4.88255 3.90368i 0.646710 0.517055i
\(58\) −7.08268 5.14587i −0.930001 0.675686i
\(59\) −0.613692 1.51894i −0.0798958 0.197749i 0.881949 0.471345i \(-0.156231\pi\)
−0.961845 + 0.273596i \(0.911787\pi\)
\(60\) 4.46983 + 14.3299i 0.577053 + 1.84999i
\(61\) 0.426503 0.0599411i 0.0546081 0.00767467i −0.111816 0.993729i \(-0.535667\pi\)
0.166424 + 0.986054i \(0.446778\pi\)
\(62\) −23.8560 3.35274i −3.02971 0.425798i
\(63\) 0.0898999 + 2.57440i 0.0113263 + 0.324343i
\(64\) −4.10430 0.872396i −0.513038 0.109050i
\(65\) 1.59373 3.81439i 0.197677 0.473117i
\(66\) −11.2847 + 7.05145i −1.38905 + 0.867974i
\(67\) −3.09679 12.4205i −0.378333 1.51741i −0.794014 0.607900i \(-0.792012\pi\)
0.415681 0.909511i \(-0.363543\pi\)
\(68\) 0.755226 + 1.30809i 0.0915846 + 0.158629i
\(69\) 3.38246 1.50597i 0.407200 0.181297i
\(70\) 15.7572 0.915152i 1.88335 0.109382i
\(71\) 9.57394 + 9.24544i 1.13622 + 1.09723i 0.994220 + 0.107365i \(0.0342414\pi\)
0.141998 + 0.989867i \(0.454647\pi\)
\(72\) 2.86534 + 5.87482i 0.337684 + 0.692355i
\(73\) −0.346294 + 9.91655i −0.0405306 + 1.16064i 0.793373 + 0.608735i \(0.208323\pi\)
−0.833904 + 0.551910i \(0.813899\pi\)
\(74\) −2.61085 + 2.19076i −0.303505 + 0.254671i
\(75\) −5.98971 3.94232i −0.691632 0.455220i
\(76\) −15.3151 13.4817i −1.75676 1.54646i
\(77\) 3.02936 + 9.32342i 0.345228 + 1.06250i
\(78\) −1.65792 + 6.64955i −0.187722 + 0.752913i
\(79\) 15.4131 4.41964i 1.73411 0.497248i 0.748050 0.663642i \(-0.230990\pi\)
0.986059 + 0.166394i \(0.0532125\pi\)
\(80\) 16.9836 8.77488i 1.89883 0.981062i
\(81\) −2.31481 + 4.74605i −0.257201 + 0.527339i
\(82\) −20.5950 + 7.49597i −2.27434 + 0.827791i
\(83\) 11.7700 5.24033i 1.29192 0.575201i 0.358350 0.933587i \(-0.383340\pi\)
0.933573 + 0.358386i \(0.116673\pi\)
\(84\) −17.9322 + 3.81160i −1.95656 + 0.415880i
\(85\) −0.675067 0.254765i −0.0732213 0.0276331i
\(86\) 3.49678 8.65484i 0.377068 0.933275i
\(87\) −4.75133 + 1.00993i −0.509397 + 0.108276i
\(88\) 16.6446 + 18.4857i 1.77432 + 1.97059i
\(89\) 7.56771 + 9.68622i 0.802175 + 1.02674i 0.998928 + 0.0462844i \(0.0147380\pi\)
−0.196753 + 0.980453i \(0.563040\pi\)
\(90\) −4.95391 2.27604i −0.522188 0.239916i
\(91\) 4.45782 + 2.37027i 0.467307 + 0.248471i
\(92\) −6.75781 10.0189i −0.704550 1.04454i
\(93\) −10.2393 + 8.59178i −1.06176 + 0.890926i
\(94\) −7.24110 5.26097i −0.746863 0.542628i
\(95\) 9.74066 + 0.345797i 0.999370 + 0.0354781i
\(96\) −9.55858 + 6.94472i −0.975569 + 0.708792i
\(97\) −0.505831 + 2.02878i −0.0513593 + 0.205991i −0.990493 0.137560i \(-0.956074\pi\)
0.939134 + 0.343551i \(0.111630\pi\)
\(98\) −0.0413032 + 1.18277i −0.00417226 + 0.119478i
\(99\) 0.587982 3.33461i 0.0590944 0.335141i
\(100\) −9.27716 + 21.4874i −0.927716 + 2.14874i
\(101\) −0.0689652 + 0.0251013i −0.00686229 + 0.00249767i −0.345449 0.938438i \(-0.612273\pi\)
0.338587 + 0.940935i \(0.390051\pi\)
\(102\) 1.17000 + 0.248692i 0.115848 + 0.0246242i
\(103\) 7.64352 + 3.40311i 0.753138 + 0.335319i 0.747143 0.664663i \(-0.231425\pi\)
0.00599520 + 0.999982i \(0.498092\pi\)
\(104\) 12.7798 + 0.893649i 1.25316 + 0.0876295i
\(105\) 5.47273 6.83693i 0.534084 0.667216i
\(106\) −2.84510 + 27.0694i −0.276341 + 2.62921i
\(107\) −3.68191 + 6.37725i −0.355943 + 0.616512i −0.987279 0.158998i \(-0.949174\pi\)
0.631335 + 0.775510i \(0.282507\pi\)
\(108\) 25.4459 + 7.29650i 2.44853 + 0.702106i
\(109\) 4.81434 + 0.676611i 0.461130 + 0.0648076i 0.365913 0.930649i \(-0.380757\pi\)
0.0952168 + 0.995457i \(0.469646\pi\)
\(110\) −20.5100 3.12972i −1.95555 0.298407i
\(111\) −0.0659961 + 1.88988i −0.00626407 + 0.179380i
\(112\) 8.74596 + 21.6470i 0.826415 + 2.04545i
\(113\) −2.94163 + 9.05342i −0.276726 + 0.851674i 0.712032 + 0.702147i \(0.247775\pi\)
−0.988758 + 0.149527i \(0.952225\pi\)
\(114\) −16.0494 + 1.86917i −1.50316 + 0.175063i
\(115\) 5.53016 + 1.65661i 0.515690 + 0.154480i
\(116\) 5.93921 + 14.7001i 0.551442 + 1.36487i
\(117\) −0.975157 1.44573i −0.0901533 0.133658i
\(118\) −0.735298 + 4.17008i −0.0676896 + 0.383887i
\(119\) 0.386300 0.792033i 0.0354121 0.0726056i
\(120\) 5.62996 21.4967i 0.513942 1.96237i
\(121\) −0.197155 1.87580i −0.0179232 0.170528i
\(122\) −1.01699 0.452794i −0.0920742 0.0409941i
\(123\) −4.55536 + 11.2749i −0.410743 + 1.01662i
\(124\) 33.4204 + 28.0430i 3.00124 + 2.51834i
\(125\) −3.07641 10.7488i −0.275163 0.961398i
\(126\) 3.32911 5.76619i 0.296581 0.513693i
\(127\) −9.84474 12.6007i −0.873579 1.11813i −0.992134 0.125183i \(-0.960048\pi\)
0.118555 0.992948i \(-0.462174\pi\)
\(128\) −4.05085 3.91186i −0.358048 0.345763i
\(129\) −2.27042 4.65505i −0.199899 0.409854i
\(130\) −8.71803 + 6.17817i −0.764622 + 0.541862i
\(131\) −15.5559 + 1.08777i −1.35912 + 0.0950390i −0.730628 0.682776i \(-0.760773\pi\)
−0.628493 + 0.777815i \(0.716328\pi\)
\(132\) 24.0981 2.09747
\(133\) −1.52431 + 11.8058i −0.132174 + 1.02369i
\(134\) −10.2244 + 31.4674i −0.883252 + 2.71837i
\(135\) −11.6120 + 5.00665i −0.999399 + 0.430904i
\(136\) 0.0780364 2.23467i 0.00669156 0.191621i
\(137\) 3.37277 + 1.79333i 0.288155 + 0.153215i 0.607257 0.794506i \(-0.292270\pi\)
−0.319101 + 0.947721i \(0.603381\pi\)
\(138\) −9.47705 1.33191i −0.806740 0.113380i
\(139\) −13.8786 17.7638i −1.17717 1.50671i −0.819711 0.572777i \(-0.805866\pi\)
−0.357457 0.933929i \(-0.616356\pi\)
\(140\) −25.0781 13.7163i −2.11949 1.15924i
\(141\) −4.85761 + 1.03252i −0.409085 + 0.0869536i
\(142\) −8.32242 33.3794i −0.698402 2.80114i
\(143\) −5.08388 4.26589i −0.425136 0.356731i
\(144\) 0.842930 8.01994i 0.0702442 0.668329i
\(145\) −6.64474 3.63429i −0.551816 0.301811i
\(146\) 14.3419 21.2627i 1.18694 1.75971i
\(147\) 0.472357 + 0.456150i 0.0389593 + 0.0376226i
\(148\) 6.11215 0.859006i 0.502415 0.0706099i
\(149\) 16.6738 + 6.06877i 1.36597 + 0.497173i 0.917896 0.396822i \(-0.129887\pi\)
0.448077 + 0.893995i \(0.352109\pi\)
\(150\) 7.72956 + 16.8457i 0.631116 + 1.37544i
\(151\) −17.3686 −1.41344 −0.706720 0.707493i \(-0.749826\pi\)
−0.706720 + 0.707493i \(0.749826\pi\)
\(152\) 8.65090 + 28.9397i 0.701681 + 2.34732i
\(153\) −0.246244 + 0.178907i −0.0199077 + 0.0144638i
\(154\) 6.13003 24.5862i 0.493972 1.98121i
\(155\) −20.8392 0.245916i −1.67384 0.0197524i
\(156\) 8.92761 8.62129i 0.714781 0.690256i
\(157\) 1.23343 + 6.99516i 0.0984388 + 0.558274i 0.993639 + 0.112610i \(0.0359212\pi\)
−0.895200 + 0.445664i \(0.852968\pi\)
\(158\) −39.8390 11.4236i −3.16942 0.908816i
\(159\) 10.1052 + 11.2230i 0.801396 + 0.890041i
\(160\) −18.3605 1.50179i −1.45152 0.118727i
\(161\) −2.64117 + 6.53712i −0.208153 + 0.515197i
\(162\) 11.5747 7.23270i 0.909397 0.568255i
\(163\) 9.60065 2.04068i 0.751981 0.159838i 0.184052 0.982916i \(-0.441078\pi\)
0.567928 + 0.823078i \(0.307745\pi\)
\(164\) 38.8234 + 8.25217i 3.03160 + 0.644386i
\(165\) −8.90510 + 7.29495i −0.693261 + 0.567911i
\(166\) −32.9774 4.63467i −2.55954 0.359720i
\(167\) 8.41721 8.12840i 0.651343 0.628995i −0.293717 0.955893i \(-0.594892\pi\)
0.945060 + 0.326898i \(0.106003\pi\)
\(168\) 25.5026 + 9.28220i 1.96757 + 0.716137i
\(169\) 9.55875 0.668413i 0.735288 0.0514164i
\(170\) 1.13079 + 1.48309i 0.0867274 + 0.113748i
\(171\) 2.37925 3.35325i 0.181946 0.256429i
\(172\) −13.6761 + 9.93630i −1.04280 + 0.757636i
\(173\) 15.2168 + 9.50853i 1.15691 + 0.722920i 0.965963 0.258680i \(-0.0832875\pi\)
0.190950 + 0.981600i \(0.438843\pi\)
\(174\) 11.7982 + 4.29419i 0.894418 + 0.325542i
\(175\) 13.4194 2.52297i 1.01441 0.190719i
\(176\) −5.32913 30.2230i −0.401698 2.27814i
\(177\) 1.44646 + 1.85138i 0.108723 + 0.139158i
\(178\) −3.32105 31.5977i −0.248923 2.36834i
\(179\) 2.94499 + 1.31119i 0.220119 + 0.0980033i 0.513834 0.857890i \(-0.328225\pi\)
−0.293715 + 0.955893i \(0.594892\pi\)
\(180\) 5.42394 + 8.24966i 0.404277 + 0.614893i
\(181\) 5.68256 + 22.7915i 0.422381 + 1.69408i 0.684474 + 0.729037i \(0.260032\pi\)
−0.262093 + 0.965043i \(0.584413\pi\)
\(182\) −6.52493 11.3015i −0.483660 0.837724i
\(183\) −0.564273 + 0.251230i −0.0417122 + 0.0185715i
\(184\) 0.624359 + 17.8793i 0.0460284 + 1.31808i
\(185\) −1.99862 + 2.16770i −0.146941 + 0.159372i
\(186\) 34.2126 4.80827i 2.50859 0.352560i
\(187\) −0.713147 + 0.912786i −0.0521505 + 0.0667496i
\(188\) 6.07206 + 15.0289i 0.442850 + 1.09609i
\(189\) −4.77238 14.6879i −0.347140 1.06839i
\(190\) −20.8778 14.0998i −1.51463 1.02291i
\(191\) 1.45874 4.48953i 0.105550 0.324851i −0.884309 0.466902i \(-0.845370\pi\)
0.989859 + 0.142052i \(0.0453699\pi\)
\(192\) 6.00295 0.419767i 0.433226 0.0302941i
\(193\) −11.3939 4.14705i −0.820153 0.298511i −0.102342 0.994749i \(-0.532634\pi\)
−0.717811 + 0.696238i \(0.754856\pi\)
\(194\) 3.88761 3.75422i 0.279114 0.269537i
\(195\) −0.689242 + 5.88844i −0.0493576 + 0.421680i
\(196\) 1.19850 1.77686i 0.0856074 0.126918i
\(197\) 2.20246 + 20.9550i 0.156919 + 1.49299i 0.735592 + 0.677425i \(0.236904\pi\)
−0.578673 + 0.815560i \(0.696429\pi\)
\(198\) −5.85629 + 6.50407i −0.416189 + 0.462224i
\(199\) −1.27092 1.06643i −0.0900931 0.0755971i 0.596629 0.802517i \(-0.296507\pi\)
−0.686722 + 0.726920i \(0.740951\pi\)
\(200\) 28.5032 19.6982i 2.01548 1.39287i
\(201\) 9.17901 + 15.8985i 0.647437 + 1.12139i
\(202\) 0.185552 + 0.0394404i 0.0130554 + 0.00277502i
\(203\) 5.17239 7.66838i 0.363030 0.538215i
\(204\) −1.55823 1.50476i −0.109098 0.105354i
\(205\) −16.8447 + 8.70312i −1.17649 + 0.607852i
\(206\) −12.0932 17.9290i −0.842577 1.24917i
\(207\) 1.86552 1.56536i 0.129662 0.108800i
\(208\) −12.7868 9.29017i −0.886606 0.644157i
\(209\) 5.18635 14.7627i 0.358747 1.02116i
\(210\) −21.3608 + 7.49044i −1.47403 + 0.516890i
\(211\) −12.9644 8.10104i −0.892505 0.557699i 0.00436661 0.999990i \(-0.498610\pi\)
−0.896871 + 0.442292i \(0.854166\pi\)
\(212\) 30.3472 38.8427i 2.08425 2.66772i
\(213\) −16.8531 8.96097i −1.15476 0.613996i
\(214\) 16.8057 8.93574i 1.14881 0.610834i
\(215\) 2.04592 7.81185i 0.139530 0.532764i
\(216\) −26.2215 29.1220i −1.78415 1.98150i
\(217\) 2.66053 25.3132i 0.180609 1.71838i
\(218\) −9.62623 8.07736i −0.651970 0.547068i
\(219\) −3.44263 13.8076i −0.232631 0.933033i
\(220\) 28.4957 + 24.4895i 1.92118 + 1.65108i
\(221\) 0.0623578 + 0.593295i 0.00419464 + 0.0399093i
\(222\) 2.73325 4.05221i 0.183444 0.271966i
\(223\) −4.91675 + 2.61428i −0.329250 + 0.175065i −0.625864 0.779932i \(-0.715254\pi\)
0.296614 + 0.954997i \(0.404143\pi\)
\(224\) 3.90683 22.1567i 0.261036 1.48041i
\(225\) −4.50167 1.40661i −0.300111 0.0937742i
\(226\) 18.8486 15.8158i 1.25379 1.05205i
\(227\) 5.43358 + 16.7228i 0.360639 + 1.10993i 0.952667 + 0.304016i \(0.0983276\pi\)
−0.592028 + 0.805918i \(0.701672\pi\)
\(228\) 26.4424 + 12.5315i 1.75119 + 0.829919i
\(229\) 0.866646 0.629655i 0.0572695 0.0416088i −0.558782 0.829314i \(-0.688731\pi\)
0.616052 + 0.787706i \(0.288731\pi\)
\(230\) −9.85297 11.2060i −0.649686 0.738900i
\(231\) −7.86176 11.6555i −0.517266 0.766879i
\(232\) 4.07563 23.1140i 0.267578 1.51751i
\(233\) −3.93289 + 8.06362i −0.257652 + 0.528265i −0.987933 0.154882i \(-0.950500\pi\)
0.730281 + 0.683147i \(0.239389\pi\)
\(234\) 0.157308 + 4.50470i 0.0102835 + 0.294482i
\(235\) −6.79337 3.71558i −0.443150 0.242378i
\(236\) 5.13118 5.69875i 0.334011 0.370957i
\(237\) −19.5011 + 12.1856i −1.26673 + 0.791541i
\(238\) −1.93162 + 1.20701i −0.125208 + 0.0782389i
\(239\) 16.4906 18.3147i 1.06669 1.18468i 0.0845701 0.996418i \(-0.473048\pi\)
0.982119 0.188261i \(-0.0602850\pi\)
\(240\) −19.9445 + 18.8105i −1.28741 + 1.21421i
\(241\) 0.0605200 + 1.73307i 0.00389844 + 0.111637i 0.999780 + 0.0209733i \(0.00667651\pi\)
−0.995882 + 0.0906634i \(0.971101\pi\)
\(242\) −2.13714 + 4.38179i −0.137381 + 0.281672i
\(243\) −1.63101 + 9.24990i −0.104629 + 0.593381i
\(244\) 1.12736 + 1.67138i 0.0721718 + 0.106999i
\(245\) 0.0949979 + 1.01942i 0.00606920 + 0.0651285i
\(246\) 25.4286 18.4750i 1.62127 1.17792i
\(247\) −3.36011 7.32461i −0.213799 0.466054i
\(248\) −19.9577 61.4235i −1.26732 3.90040i
\(249\) −14.1543 + 11.8769i −0.896994 + 0.752667i
\(250\) −7.97918 + 27.7749i −0.504648 + 1.75664i
\(251\) −1.91852 + 10.8805i −0.121096 + 0.686771i 0.862454 + 0.506135i \(0.168926\pi\)
−0.983550 + 0.180635i \(0.942185\pi\)
\(252\) −10.6465 + 5.66084i −0.670666 + 0.356599i
\(253\) 5.18246 7.68331i 0.325819 0.483046i
\(254\) 4.32031 + 41.1050i 0.271080 + 2.57916i
\(255\) 1.03134 + 0.0843585i 0.0645851 + 0.00528273i
\(256\) 5.55153 + 22.2660i 0.346970 + 1.39162i
\(257\) −0.925504 0.776590i −0.0577313 0.0484423i 0.613465 0.789722i \(-0.289775\pi\)
−0.671197 + 0.741279i \(0.734219\pi\)
\(258\) −1.39932 + 13.3136i −0.0871178 + 0.828871i
\(259\) −2.40951 2.67603i −0.149719 0.166280i
\(260\) 19.3181 1.12196i 1.19806 0.0695813i
\(261\) −2.82091 + 1.49990i −0.174610 + 0.0928417i
\(262\) 35.5882 + 18.9226i 2.19865 + 1.16904i
\(263\) 4.56690 5.84536i 0.281607 0.360440i −0.626322 0.779564i \(-0.715441\pi\)
0.907929 + 0.419124i \(0.137663\pi\)
\(264\) −30.2534 18.9044i −1.86197 1.16348i
\(265\) 0.544034 + 23.5404i 0.0334197 + 1.44608i
\(266\) 19.5117 23.7903i 1.19634 1.45867i
\(267\) −14.2616 10.3617i −0.872798 0.634125i
\(268\) 45.9009 38.5155i 2.80385 2.35271i
\(269\) −6.48123 9.60882i −0.395168 0.585860i 0.577977 0.816053i \(-0.303842\pi\)
−0.973145 + 0.230193i \(0.926064\pi\)
\(270\) 32.3110 + 4.93048i 1.96638 + 0.300059i
\(271\) −18.3981 17.7668i −1.11760 1.07926i −0.996239 0.0866487i \(-0.972384\pi\)
−0.121364 0.992608i \(-0.538727\pi\)
\(272\) −1.54263 + 2.28704i −0.0935357 + 0.138672i
\(273\) −7.08242 1.50542i −0.428648 0.0911119i
\(274\) −4.93674 8.55068i −0.298239 0.516565i
\(275\) −17.9436 0.423551i −1.08204 0.0255411i
\(276\) 13.2766 + 11.1404i 0.799159 + 0.670574i
\(277\) −1.08267 + 1.20242i −0.0650510 + 0.0722465i −0.774792 0.632216i \(-0.782145\pi\)
0.709741 + 0.704463i \(0.248812\pi\)
\(278\) 6.09055 + 57.9477i 0.365287 + 3.47547i
\(279\) −4.91609 + 7.28841i −0.294319 + 0.436346i
\(280\) 20.7236 + 36.8930i 1.23847 + 2.20478i
\(281\) 16.5133 15.9467i 0.985101 0.951301i −0.0137169 0.999906i \(-0.504366\pi\)
0.998818 + 0.0486047i \(0.0154775\pi\)
\(282\) 12.0621 + 4.39024i 0.718287 + 0.261435i
\(283\) 9.15665 0.640295i 0.544306 0.0380616i 0.205043 0.978753i \(-0.434267\pi\)
0.339263 + 0.940691i \(0.389822\pi\)
\(284\) −19.2517 + 59.2508i −1.14238 + 3.51589i
\(285\) −13.5649 + 3.37378i −0.803518 + 0.199845i
\(286\) 5.30081 + 16.3142i 0.313443 + 0.964680i
\(287\) −8.67443 21.4700i −0.512035 1.26733i
\(288\) −4.78433 + 6.12366i −0.281919 + 0.360840i
\(289\) −16.7314 + 2.35145i −0.984203 + 0.138321i
\(290\) 9.58729 + 17.0677i 0.562985 + 1.00225i
\(291\) −0.104650 2.99678i −0.00613468 0.175674i
\(292\) −42.4314 + 18.8917i −2.48311 + 1.10555i
\(293\) 12.3088 + 21.3194i 0.719086 + 1.24549i 0.961362 + 0.275286i \(0.0887726\pi\)
−0.242276 + 0.970207i \(0.577894\pi\)
\(294\) −0.410610 1.64687i −0.0239473 0.0960472i
\(295\) −0.171033 + 3.65920i −0.00995795 + 0.213047i
\(296\) −8.34722 3.71642i −0.485173 0.216013i
\(297\) 2.12198 + 20.1893i 0.123130 + 1.17150i
\(298\) −28.2364 36.1410i −1.63569 2.09359i
\(299\) −0.828826 4.70051i −0.0479323 0.271837i
\(300\) 4.29529 33.2894i 0.247989 1.92196i
\(301\) 9.26762 + 3.37314i 0.534177 + 0.194424i
\(302\) 38.0719 + 23.7900i 2.19079 + 1.36896i
\(303\) 0.0851513 0.0618660i 0.00489181 0.00355411i
\(304\) 9.86903 35.9344i 0.566028 2.06098i
\(305\) −0.922558 0.276361i −0.0528255 0.0158244i
\(306\) 0.784815 0.0548796i 0.0448649 0.00313726i
\(307\) 19.4041 + 7.06252i 1.10745 + 0.403079i 0.830058 0.557677i \(-0.188307\pi\)
0.277393 + 0.960757i \(0.410530\pi\)
\(308\) −33.0091 + 31.8766i −1.88087 + 1.81634i
\(309\) −11.8824 1.66997i −0.675968 0.0950011i
\(310\) 45.3425 + 29.0826i 2.57528 + 1.65178i
\(311\) 27.2713 + 5.79669i 1.54641 + 0.328700i 0.900549 0.434754i \(-0.143165\pi\)
0.645863 + 0.763454i \(0.276498\pi\)
\(312\) −17.9712 + 3.81989i −1.01742 + 0.216259i
\(313\) 0.906188 0.566249i 0.0512208 0.0320063i −0.504067 0.863664i \(-0.668164\pi\)
0.555288 + 0.831658i \(0.312608\pi\)
\(314\) 6.87764 17.0228i 0.388128 0.960650i
\(315\) 2.22061 5.31478i 0.125117 0.299454i
\(316\) 50.2216 + 55.7767i 2.82519 + 3.13769i
\(317\) 14.5948 + 4.18500i 0.819727 + 0.235053i 0.659189 0.751977i \(-0.270900\pi\)
0.160537 + 0.987030i \(0.448677\pi\)
\(318\) −6.77834 38.4419i −0.380110 2.15571i
\(319\) −8.74616 + 8.44607i −0.489691 + 0.472889i
\(320\) 7.52502 + 5.60409i 0.420661 + 0.313278i
\(321\) 2.55486 10.2470i 0.142599 0.571931i
\(322\) 14.7434 10.7117i 0.821615 0.596938i
\(323\) −1.25719 + 0.630734i −0.0699521 + 0.0350950i
\(324\) −24.7175 −1.37319
\(325\) −6.79911 + 6.26258i −0.377147 + 0.347385i
\(326\) −23.8397 8.67693i −1.32036 0.480571i
\(327\) −6.90440 + 0.970351i −0.381814 + 0.0536605i
\(328\) −42.2663 40.8161i −2.33377 2.25369i
\(329\) 5.28808 7.83990i 0.291541 0.432228i
\(330\) 29.5118 3.79307i 1.62457 0.208802i
\(331\) 0.948123 9.02079i 0.0521136 0.495827i −0.937070 0.349142i \(-0.886473\pi\)
0.989183 0.146685i \(-0.0468604\pi\)
\(332\) 46.1988 + 38.7654i 2.53549 + 2.12753i
\(333\) 0.300897 + 1.20683i 0.0164890 + 0.0661339i
\(334\) −29.5840 + 6.28827i −1.61876 + 0.344079i
\(335\) −5.30268 + 28.1279i −0.289716 + 1.53679i
\(336\) −20.6141 26.3848i −1.12459 1.43941i
\(337\) 4.23602 + 0.595333i 0.230750 + 0.0324299i 0.253601 0.967309i \(-0.418385\pi\)
−0.0228500 + 0.999739i \(0.507274\pi\)
\(338\) −21.8682 11.6275i −1.18947 0.632455i
\(339\) 0.476447 13.6437i 0.0258771 0.741022i
\(340\) −0.313382 3.36290i −0.0169955 0.182379i
\(341\) −10.3388 + 31.8195i −0.559877 + 1.72312i
\(342\) −9.80827 + 4.09141i −0.530371 + 0.221238i
\(343\) 17.8660 0.964671
\(344\) 24.9642 1.74567i 1.34598 0.0941201i
\(345\) −8.27861 0.0976928i −0.445705 0.00525960i
\(346\) −20.3312 41.6852i −1.09301 2.24101i
\(347\) −14.5384 14.0396i −0.780462 0.753684i 0.193327 0.981134i \(-0.438072\pi\)
−0.973790 + 0.227451i \(0.926961\pi\)
\(348\) −13.9986 17.9174i −0.750404 0.960473i
\(349\) 4.52478 7.83715i 0.242206 0.419513i −0.719136 0.694869i \(-0.755462\pi\)
0.961342 + 0.275356i \(0.0887957\pi\)
\(350\) −32.8710 12.8504i −1.75703 0.686882i
\(351\) 8.00902 + 6.72037i 0.427490 + 0.358707i
\(352\) −11.0786 + 27.4204i −0.590489 + 1.46151i
\(353\) −11.3068 5.03410i −0.601799 0.267938i 0.0831406 0.996538i \(-0.473505\pi\)
−0.684940 + 0.728599i \(0.740172\pi\)
\(354\) −0.634771 6.03944i −0.0337377 0.320993i
\(355\) −10.8221 27.7232i −0.574379 1.47139i
\(356\) −25.2229 + 51.7147i −1.33681 + 2.74087i
\(357\) −0.219454 + 1.24458i −0.0116147 + 0.0658704i
\(358\) −4.65944 6.90790i −0.246259 0.365094i
\(359\) −9.22937 22.8435i −0.487108 1.20563i −0.948027 0.318191i \(-0.896925\pi\)
0.460919 0.887442i \(-0.347520\pi\)
\(360\) −0.337688 14.6118i −0.0177977 0.770109i
\(361\) 13.3678 13.5019i 0.703570 0.710626i
\(362\) 18.7616 57.7422i 0.986087 3.03486i
\(363\) 1.01330 + 2.50801i 0.0531845 + 0.131636i
\(364\) −0.824781 + 23.6186i −0.0432302 + 1.23795i
\(365\) 9.96104 19.8259i 0.521385 1.03774i
\(366\) 1.58099 + 0.222194i 0.0826398 + 0.0116143i
\(367\) 26.8957 + 7.71223i 1.40395 + 0.402575i 0.890279 0.455415i \(-0.150509\pi\)
0.513667 + 0.857990i \(0.328287\pi\)
\(368\) 11.0359 19.1147i 0.575286 0.996424i
\(369\) −0.836036 + 7.95435i −0.0435223 + 0.414087i
\(370\) 7.35007 2.01405i 0.382112 0.104705i
\(371\) −28.6876 2.00603i −1.48938 0.104148i
\(372\) −57.1580 25.4484i −2.96350 1.31944i
\(373\) −28.0928 5.97130i −1.45459 0.309182i −0.588265 0.808668i \(-0.700189\pi\)
−0.866322 + 0.499486i \(0.833522\pi\)
\(374\) 2.81346 1.02402i 0.145481 0.0529506i
\(375\) 8.49006 + 13.6019i 0.438425 + 0.702398i
\(376\) 4.16679 23.6310i 0.214886 1.21868i
\(377\) −0.218535 + 6.25803i −0.0112551 + 0.322305i
\(378\) −9.65708 + 38.7324i −0.496707 + 1.99218i
\(379\) 20.2322 14.6996i 1.03926 0.755066i 0.0691183 0.997608i \(-0.477981\pi\)
0.970141 + 0.242543i \(0.0779814\pi\)
\(380\) 18.5328 + 41.6903i 0.950713 + 2.13867i
\(381\) 18.5528 + 13.4794i 0.950488 + 0.690570i
\(382\) −9.34687 + 7.84296i −0.478228 + 0.401281i
\(383\) 8.01543 + 11.8834i 0.409569 + 0.607211i 0.976229 0.216740i \(-0.0695425\pi\)
−0.566660 + 0.823952i \(0.691765\pi\)
\(384\) 7.13077 + 3.79150i 0.363891 + 0.193484i
\(385\) 2.54842 21.7720i 0.129879 1.10961i
\(386\) 19.2951 + 24.6966i 0.982096 + 1.25703i
\(387\) −2.27939 2.53152i −0.115868 0.128684i
\(388\) −9.57339 + 2.03489i −0.486015 + 0.103306i
\(389\) −6.80632 + 16.8462i −0.345094 + 0.854138i 0.650424 + 0.759571i \(0.274591\pi\)
−0.995518 + 0.0945672i \(0.969853\pi\)
\(390\) 9.57625 11.9633i 0.484912 0.605787i
\(391\) −0.814879 + 0.173208i −0.0412102 + 0.00875950i
\(392\) −2.89854 + 1.29051i −0.146398 + 0.0651807i
\(393\) 21.0150 7.64882i 1.06006 0.385832i
\(394\) 23.8745 48.9500i 1.20278 2.46606i
\(395\) −35.4434 5.40847i −1.78335 0.272129i
\(396\) 15.2359 4.36881i 0.765630 0.219541i
\(397\) −5.58347 + 22.3941i −0.280226 + 1.12393i 0.650881 + 0.759180i \(0.274400\pi\)
−0.931107 + 0.364746i \(0.881156\pi\)
\(398\) 1.32515 + 4.07839i 0.0664237 + 0.204431i
\(399\) −2.56545 16.8777i −0.128433 0.844943i
\(400\) −42.7003 + 1.97471i −2.13501 + 0.0987357i
\(401\) −11.5095 + 9.65761i −0.574756 + 0.482278i −0.883220 0.468958i \(-0.844630\pi\)
0.308464 + 0.951236i \(0.400185\pi\)
\(402\) 1.65601 47.4219i 0.0825943 2.36519i
\(403\) 7.55350 + 15.4870i 0.376267 + 0.771461i
\(404\) −0.247121 0.238642i −0.0122947 0.0118729i
\(405\) 9.13399 7.48245i 0.453872 0.371806i
\(406\) −21.8413 + 9.72435i −1.08396 + 0.482612i
\(407\) 2.36669 + 4.09922i 0.117312 + 0.203191i
\(408\) 0.775787 + 3.11151i 0.0384072 + 0.154043i
\(409\) 32.0259 20.0120i 1.58358 0.989531i 0.601996 0.798499i \(-0.294372\pi\)
0.981584 0.191032i \(-0.0611834\pi\)
\(410\) 48.8442 + 3.99521i 2.41224 + 0.197309i
\(411\) −5.35853 1.13899i −0.264317 0.0561823i
\(412\) 1.36683 + 39.1408i 0.0673387 + 1.92833i
\(413\) −4.43032 0.622641i −0.218002 0.0306382i
\(414\) −6.23328 + 0.876030i −0.306349 + 0.0430545i
\(415\) −28.8072 0.339943i −1.41409 0.0166871i
\(416\) 5.70561 + 14.1219i 0.279741 + 0.692382i
\(417\) 26.1548 + 19.0026i 1.28081 + 0.930559i
\(418\) −31.5891 + 25.2560i −1.54507 + 1.23531i
\(419\) 20.6304 + 14.9889i 1.00786 + 0.732255i 0.963760 0.266772i \(-0.0859570\pi\)
0.0441030 + 0.999027i \(0.485957\pi\)
\(420\) 39.9942 + 8.99555i 1.95152 + 0.438938i
\(421\) −4.76935 + 1.36759i −0.232444 + 0.0666522i −0.389837 0.920884i \(-0.627469\pi\)
0.157393 + 0.987536i \(0.449691\pi\)
\(422\) 17.3217 + 35.5148i 0.843209 + 1.72883i
\(423\) −2.88401 + 1.53345i −0.140225 + 0.0745591i
\(424\) −68.5699 + 24.9574i −3.33005 + 1.21204i
\(425\) 1.13382 + 1.14785i 0.0549984 + 0.0556787i
\(426\) 24.6680 + 42.7262i 1.19517 + 2.07009i
\(427\) 0.440608 1.09054i 0.0213225 0.0527751i
\(428\) −34.3855 2.40447i −1.66208 0.116224i
\(429\) 8.69484 + 3.87119i 0.419791 + 0.186903i
\(430\) −15.1846 + 14.3212i −0.732266 + 0.690629i
\(431\) 0.554375 + 0.158965i 0.0267033 + 0.00765705i 0.288962 0.957340i \(-0.406690\pi\)
−0.262259 + 0.964997i \(0.584468\pi\)
\(432\) 8.39537 + 47.6125i 0.403922 + 2.29076i
\(433\) −1.17403 + 1.13374i −0.0564201 + 0.0544842i −0.722334 0.691544i \(-0.756931\pi\)
0.665914 + 0.746029i \(0.268042\pi\)
\(434\) −40.5036 + 51.8422i −1.94424 + 2.48851i
\(435\) 10.5969 + 2.38347i 0.508083 + 0.114279i
\(436\) 7.03230 + 21.6432i 0.336786 + 1.03652i
\(437\) 9.68211 5.73578i 0.463158 0.274380i
\(438\) −11.3662 + 34.9816i −0.543098 + 1.67148i
\(439\) 28.4492 + 17.7771i 1.35781 + 0.848452i 0.996467 0.0839815i \(-0.0267637\pi\)
0.361340 + 0.932434i \(0.382319\pi\)
\(440\) −16.5628 53.0990i −0.789601 2.53140i
\(441\) 0.381341 + 0.202763i 0.0181591 + 0.00965537i
\(442\) 0.675952 1.38591i 0.0321518 0.0659209i
\(443\) 1.77985 0.647813i 0.0845633 0.0307785i −0.299392 0.954130i \(-0.596784\pi\)
0.383955 + 0.923352i \(0.374562\pi\)
\(444\) −8.08650 + 3.60034i −0.383768 + 0.170865i
\(445\) −6.33424 26.7459i −0.300272 1.26788i
\(446\) 14.3583 + 1.00403i 0.679885 + 0.0475422i
\(447\) −25.3851 1.77510i −1.20068 0.0839594i
\(448\) −7.66749 + 8.51561i −0.362255 + 0.402325i
\(449\) 14.3089 24.7837i 0.675279 1.16962i −0.301109 0.953590i \(-0.597357\pi\)
0.976387 0.216027i \(-0.0693100\pi\)
\(450\) 7.94097 + 9.24925i 0.374341 + 0.436014i
\(451\) 5.28554 + 29.9758i 0.248886 + 1.41151i
\(452\) −44.1256 + 6.20144i −2.07549 + 0.291691i
\(453\) 23.9440 6.86584i 1.12499 0.322585i
\(454\) 10.9950 44.0987i 0.516023 2.06965i
\(455\) −6.84502 8.97761i −0.320900 0.420877i
\(456\) −23.3658 36.4759i −1.09420 1.70814i
\(457\) 3.01882 0.141214 0.0706072 0.997504i \(-0.477506\pi\)
0.0706072 + 0.997504i \(0.477506\pi\)
\(458\) −2.76212 + 0.193146i −0.129065 + 0.00902514i
\(459\) 1.12347 1.43798i 0.0524392 0.0671192i
\(460\) 4.37810 + 26.6657i 0.204130 + 1.24330i
\(461\) −12.3245 + 6.55307i −0.574011 + 0.305207i −0.730983 0.682396i \(-0.760938\pi\)
0.156972 + 0.987603i \(0.449827\pi\)
\(462\) 1.26822 + 36.3172i 0.0590031 + 1.68963i
\(463\) 10.4997 + 11.6611i 0.487961 + 0.541935i 0.935964 0.352097i \(-0.114531\pi\)
−0.448003 + 0.894032i \(0.647865\pi\)
\(464\) −19.3757 + 21.5189i −0.899494 + 0.998989i
\(465\) 28.8256 7.89873i 1.33676 0.366295i
\(466\) 19.6657 12.2885i 0.910994 0.569252i
\(467\) 2.93464 27.9212i 0.135799 1.29204i −0.688230 0.725492i \(-0.741612\pi\)
0.824029 0.566547i \(-0.191721\pi\)
\(468\) 4.08145 7.06927i 0.188665 0.326777i
\(469\) −33.6036 9.63567i −1.55167 0.444934i
\(470\) 9.80174 + 17.4494i 0.452121 + 0.804882i
\(471\) −4.46558 9.15579i −0.205763 0.421876i
\(472\) −10.9124 + 3.12907i −0.502282 + 0.144027i
\(473\) −10.9940 6.86983i −0.505506 0.315875i
\(474\) 59.4369 2.73003
\(475\) −19.4690 9.79583i −0.893299 0.449463i
\(476\) 4.12491 0.189065
\(477\) 8.42361 + 5.26366i 0.385691 + 0.241006i
\(478\) −61.2330 + 17.5583i −2.80073 + 0.803097i
\(479\) 5.11023 + 10.4775i 0.233492 + 0.478730i 0.983080 0.183175i \(-0.0586373\pi\)
−0.749588 + 0.661904i \(0.769748\pi\)
\(480\) 25.9050 5.18756i 1.18239 0.236779i
\(481\) 2.34332 + 0.671936i 0.106846 + 0.0306377i
\(482\) 2.24114 3.88176i 0.102081 0.176809i
\(483\) 1.05693 10.0560i 0.0480918 0.457563i
\(484\) 7.48730 4.67858i 0.340332 0.212663i
\(485\) 2.92171 3.65001i 0.132668 0.165738i
\(486\) 16.2448 18.0417i 0.736879 0.818387i
\(487\) −22.7567 25.2739i −1.03121 1.14527i −0.989263 0.146150i \(-0.953312\pi\)
−0.0419428 0.999120i \(-0.513355\pi\)
\(488\) −0.104158 2.98268i −0.00471499 0.135020i
\(489\) −12.4286 + 6.60838i −0.562039 + 0.298841i
\(490\) 1.18808 2.36468i 0.0536718 0.106825i
\(491\) 2.80325 3.58800i 0.126509 0.161924i −0.720586 0.693365i \(-0.756127\pi\)
0.847095 + 0.531441i \(0.178349\pi\)
\(492\) −56.7832 + 3.97067i −2.55998 + 0.179011i
\(493\) 1.09294 0.0492237
\(494\) −2.66725 + 20.6579i −0.120005 + 0.929441i
\(495\) −4.30767 + 6.22662i −0.193615 + 0.279866i
\(496\) −19.2764 + 77.3134i −0.865535 + 3.47147i
\(497\) 34.9386 10.0185i 1.56721 0.449391i
\(498\) 47.2940 6.64674i 2.11929 0.297847i
\(499\) 5.45195 + 30.9195i 0.244063 + 1.38415i 0.822659 + 0.568535i \(0.192490\pi\)
−0.578596 + 0.815614i \(0.696399\pi\)
\(500\) 38.9092 34.9993i 1.74007 1.56521i
\(501\) −8.39061 + 14.5330i −0.374865 + 0.649285i
\(502\) 19.1085 21.2221i 0.852853 0.947189i
\(503\) −24.5797 1.71878i −1.09596 0.0766368i −0.489689 0.871897i \(-0.662890\pi\)
−0.606268 + 0.795260i \(0.707334\pi\)
\(504\) 17.8067 + 1.24516i 0.793173 + 0.0554640i
\(505\) 0.163561 + 0.0133785i 0.00727839 + 0.000595335i
\(506\) −21.8838 + 9.74329i −0.972853 + 0.433142i
\(507\) −12.9132 + 4.70004i −0.573497 + 0.208736i
\(508\) 32.8122 67.2750i 1.45581 2.98484i
\(509\) 3.84802 + 2.04603i 0.170560 + 0.0906886i 0.552557 0.833475i \(-0.313652\pi\)
−0.381996 + 0.924164i \(0.624763\pi\)
\(510\) −2.14514 1.59755i −0.0949885 0.0707406i
\(511\) 22.9802 + 14.3596i 1.01658 + 0.635232i
\(512\) 14.8486 45.6993i 0.656221 2.01964i
\(513\) −8.17044 + 23.2568i −0.360734 + 1.02681i
\(514\) 0.964994 + 2.96995i 0.0425641 + 0.130999i
\(515\) −12.3538 14.0502i −0.544372 0.619124i
\(516\) 14.9258 19.1041i 0.657072 0.841013i
\(517\) −8.94179 + 8.63499i −0.393259 + 0.379766i
\(518\) 1.61624 + 9.16615i 0.0710135 + 0.402737i
\(519\) −24.7363 7.09302i −1.08580 0.311349i
\(520\) −25.1327 13.7461i −1.10214 0.602807i
\(521\) −27.8123 12.3828i −1.21848 0.542501i −0.306158 0.951981i \(-0.599044\pi\)
−0.912319 + 0.409480i \(0.865710\pi\)
\(522\) 8.23784 + 0.576046i 0.360560 + 0.0252128i
\(523\) 5.92439 14.6634i 0.259055 0.641184i −0.740467 0.672093i \(-0.765396\pi\)
0.999522 + 0.0309084i \(0.00984002\pi\)
\(524\) −36.4968 63.2143i −1.59437 2.76153i
\(525\) −17.5024 + 8.78283i −0.763868 + 0.383314i
\(526\) −18.0170 + 6.55766i −0.785580 + 0.285928i
\(527\) 2.65544 1.41192i 0.115673 0.0615043i
\(528\) 19.2938 + 39.5581i 0.839654 + 1.72155i
\(529\) −15.7018 + 4.50243i −0.682688 + 0.195758i
\(530\) 31.0510 52.3456i 1.34877 2.27375i
\(531\) 1.25016 + 0.908293i 0.0542522 + 0.0394166i
\(532\) −52.7969 + 17.8122i −2.28904 + 0.772255i
\(533\) 12.6822 + 9.21419i 0.549329 + 0.399111i
\(534\) 17.0689 + 42.2470i 0.738643 + 1.82821i
\(535\) 13.4345 9.52061i 0.580826 0.411612i
\(536\) −87.8398 + 12.3451i −3.79410 + 0.533226i
\(537\) −4.57821 0.643426i −0.197564 0.0277659i
\(538\) 1.04552 + 29.9398i 0.0450757 + 1.29080i
\(539\) 1.60773 + 0.341733i 0.0692497 + 0.0147195i
\(540\) −44.8914 38.5801i −1.93182 1.66023i
\(541\) 13.8239 8.63811i 0.594335 0.371382i −0.199152 0.979969i \(-0.563819\pi\)
0.793487 + 0.608587i \(0.208263\pi\)
\(542\) 15.9931 + 64.1446i 0.686961 + 2.75525i
\(543\) −16.8433 29.1735i −0.722817 1.25196i
\(544\) 2.42858 1.08127i 0.104124 0.0463592i
\(545\) −9.15050 5.86913i −0.391964 0.251406i
\(546\) 13.4626 + 13.0007i 0.576147 + 0.556379i
\(547\) −9.66699 19.8203i −0.413331 0.847454i −0.999311 0.0371281i \(-0.988179\pi\)
0.585980 0.810326i \(-0.300710\pi\)
\(548\) −0.624025 + 17.8697i −0.0266570 + 0.763358i
\(549\) −0.311212 + 0.261138i −0.0132822 + 0.0111451i
\(550\) 38.7521 + 25.5060i 1.65240 + 1.08758i
\(551\) −13.9891 + 4.71954i −0.595958 + 0.201059i
\(552\) −7.92843 24.4012i −0.337456 1.03858i
\(553\) 10.5933 42.4874i 0.450473 1.80675i
\(554\) 4.02016 1.15276i 0.170800 0.0489761i
\(555\) 1.89836 3.77839i 0.0805809 0.160384i
\(556\) 46.2570 94.8409i 1.96173 4.02215i
\(557\) −11.9245 + 4.34015i −0.505255 + 0.183898i −0.582056 0.813149i \(-0.697752\pi\)
0.0768008 + 0.997046i \(0.475529\pi\)
\(558\) 20.7590 9.24251i 0.878799 0.391267i
\(559\) −6.53070 + 1.38814i −0.276219 + 0.0587122i
\(560\) 2.43746 52.1487i 0.103002 2.20368i
\(561\) 0.622303 1.54025i 0.0262737 0.0650296i
\(562\) −58.0393 + 12.3366i −2.44824 + 0.520390i
\(563\) −9.34201 10.3754i −0.393719 0.437269i 0.513396 0.858152i \(-0.328387\pi\)
−0.907115 + 0.420883i \(0.861720\pi\)
\(564\) −14.3117 18.3182i −0.602632 0.771334i
\(565\) 14.4287 15.6493i 0.607019 0.658372i
\(566\) −20.9483 11.1384i −0.880523 0.468182i
\(567\) 8.06384 + 11.9551i 0.338649 + 0.502068i
\(568\) 70.6501 59.2825i 2.96441 2.48744i
\(569\) 27.5500 + 20.0163i 1.15496 + 0.839126i 0.989132 0.147029i \(-0.0469712\pi\)
0.165825 + 0.986155i \(0.446971\pi\)
\(570\) 34.3553 + 11.1847i 1.43899 + 0.468476i
\(571\) 0.466089 0.338634i 0.0195052 0.0141714i −0.577990 0.816044i \(-0.696163\pi\)
0.597495 + 0.801873i \(0.296163\pi\)
\(572\) 7.51533 30.1424i 0.314232 1.26032i
\(573\) −0.236267 + 6.76580i −0.00987019 + 0.282645i
\(574\) −10.3933 + 58.9434i −0.433808 + 2.46025i
\(575\) −9.69009 8.52860i −0.404105 0.355667i
\(576\) 3.71923 1.35369i 0.154968 0.0564037i
\(577\) −2.37752 0.505358i −0.0989776 0.0210383i 0.158157 0.987414i \(-0.449445\pi\)
−0.257134 + 0.966376i \(0.582778\pi\)
\(578\) 39.8960 + 17.7628i 1.65945 + 0.738836i
\(579\) 17.3467 + 1.21300i 0.720906 + 0.0504106i
\(580\) 1.65523 35.4131i 0.0687298 1.47045i
\(581\) 3.67780 34.9919i 0.152581 1.45171i
\(582\) −3.87532 + 6.71225i −0.160637 + 0.278232i
\(583\) 36.3370 + 10.4195i 1.50492 + 0.431530i
\(584\) 68.0895 + 9.56936i 2.81757 + 0.395983i
\(585\) 0.631763 + 3.84788i 0.0261202 + 0.159090i
\(586\) 2.22066 63.5914i 0.0917346 2.62693i
\(587\) 16.7614 + 41.4859i 0.691816 + 1.71231i 0.701819 + 0.712356i \(0.252372\pi\)
−0.0100024 + 0.999950i \(0.503184\pi\)
\(588\) −0.949838 + 2.92330i −0.0391707 + 0.120555i
\(589\) −27.8914 + 29.5386i −1.14925 + 1.21712i
\(590\) 5.38693 7.78666i 0.221777 0.320572i
\(591\) −11.3198 28.0175i −0.465635 1.15249i
\(592\) 6.30370 + 9.34562i 0.259081 + 0.384103i
\(593\) −0.661764 + 3.75305i −0.0271754 + 0.154119i −0.995376 0.0960561i \(-0.969377\pi\)
0.968201 + 0.250175i \(0.0804883\pi\)
\(594\) 23.0021 47.1612i 0.943786 1.93505i
\(595\) −1.52430 + 1.24869i −0.0624903 + 0.0511913i
\(596\) 8.68191 + 82.6028i 0.355625 + 3.38354i
\(597\) 2.17362 + 0.967758i 0.0889604 + 0.0396077i
\(598\) −4.62154 + 11.4387i −0.188989 + 0.467764i
\(599\) −24.6602 20.6924i −1.00759 0.845468i −0.0195714 0.999808i \(-0.506230\pi\)
−0.988018 + 0.154341i \(0.950675\pi\)
\(600\) −31.5072 + 38.4228i −1.28628 + 1.56860i
\(601\) −1.31687 + 2.28088i −0.0537161 + 0.0930390i −0.891633 0.452759i \(-0.850440\pi\)
0.837917 + 0.545798i \(0.183773\pi\)
\(602\) −15.6943 20.0878i −0.639653 0.818718i
\(603\) 8.68566 + 8.38765i 0.353707 + 0.341571i
\(604\) −35.6401 73.0731i −1.45018 2.97330i
\(605\) −1.35053 + 3.99545i −0.0549068 + 0.162438i
\(606\) −0.271389 + 0.0189774i −0.0110244 + 0.000770903i
\(607\) −29.8418 −1.21124 −0.605621 0.795753i \(-0.707075\pi\)
−0.605621 + 0.795753i \(0.707075\pi\)
\(608\) −26.4155 + 24.3268i −1.07129 + 0.986584i
\(609\) −4.09922 + 12.6161i −0.166109 + 0.511230i
\(610\) 1.64370 + 1.86942i 0.0665517 + 0.0756905i
\(611\) −0.223423 + 6.39801i −0.00903874 + 0.258836i
\(612\) −1.25798 0.668881i −0.0508509 0.0270379i
\(613\) 40.2831 + 5.66143i 1.62702 + 0.228663i 0.892867 0.450320i \(-0.148690\pi\)
0.734154 + 0.678983i \(0.237579\pi\)
\(614\) −32.8600 42.0589i −1.32612 1.69736i
\(615\) 19.7814 18.6567i 0.797664 0.752309i
\(616\) 66.4470 14.1238i 2.67723 0.569062i
\(617\) −6.59970 26.4700i −0.265694 1.06564i −0.943758 0.330637i \(-0.892736\pi\)
0.678064 0.735003i \(-0.262819\pi\)
\(618\) 23.7588 + 19.9360i 0.955720 + 0.801944i
\(619\) 1.58260 15.0574i 0.0636099 0.605208i −0.915562 0.402176i \(-0.868254\pi\)
0.979172 0.203031i \(-0.0650794\pi\)
\(620\) −41.7270 88.1789i −1.67580 3.54135i
\(621\) −8.16431 + 12.1041i −0.327623 + 0.485721i
\(622\) −51.8386 50.0600i −2.07854 2.00722i
\(623\) 33.2417 4.67181i 1.33180 0.187172i
\(624\) 21.3000 + 7.75257i 0.852683 + 0.310351i
\(625\) −3.78341 + 24.7121i −0.151336 + 0.988482i
\(626\) −2.76195 −0.110390
\(627\) −1.31407 + 22.4017i −0.0524788 + 0.894639i
\(628\) −26.8989 + 19.5432i −1.07338 + 0.779859i
\(629\) 0.102934 0.412847i 0.00410426 0.0164613i
\(630\) −12.1473 + 8.60835i −0.483958 + 0.342965i
\(631\) 1.42124 1.37248i 0.0565788 0.0546375i −0.665832 0.746102i \(-0.731923\pi\)
0.722410 + 0.691465i \(0.243034\pi\)
\(632\) −19.2939 109.421i −0.767472 4.35255i
\(633\) 21.0747 + 6.04309i 0.837646 + 0.240191i
\(634\) −26.2595 29.1641i −1.04290 1.15825i
\(635\) 8.24014 + 34.7934i 0.327000 + 1.38073i
\(636\) −26.4814 + 65.5439i −1.05006 + 2.59898i
\(637\) 0.717873 0.448577i 0.0284432 0.0177733i
\(638\) 30.7401 6.53402i 1.21701 0.258684i
\(639\) −12.2799 2.61016i −0.485784 0.103257i
\(640\) 4.57898 + 11.7300i 0.181000 + 0.463669i
\(641\) −8.29032 1.16513i −0.327448 0.0460198i −0.0264662 0.999650i \(-0.508425\pi\)
−0.300982 + 0.953630i \(0.597314\pi\)
\(642\) −19.6356 + 18.9619i −0.774956 + 0.748366i
\(643\) 28.6357 + 10.4226i 1.12928 + 0.411025i 0.838032 0.545621i \(-0.183706\pi\)
0.291251 + 0.956647i \(0.405929\pi\)
\(644\) −32.9225 + 2.30216i −1.29733 + 0.0907180i
\(645\) 0.267575 + 11.5780i 0.0105357 + 0.455883i
\(646\) 3.61968 + 0.339424i 0.142414 + 0.0133545i
\(647\) −1.10538 + 0.803103i −0.0434568 + 0.0315732i −0.609302 0.792939i \(-0.708550\pi\)
0.565845 + 0.824512i \(0.308550\pi\)
\(648\) 31.0310 + 19.3903i 1.21901 + 0.761723i
\(649\) 5.52614 + 2.01135i 0.216920 + 0.0789524i
\(650\) 23.4815 4.41472i 0.921020 0.173160i
\(651\) 6.33860 + 35.9480i 0.248429 + 1.40891i
\(652\) 28.2859 + 36.2043i 1.10776 + 1.41787i
\(653\) −2.49318 23.7210i −0.0975656 0.928275i −0.928357 0.371690i \(-0.878778\pi\)
0.830791 0.556584i \(-0.187888\pi\)
\(654\) 16.4635 + 7.33002i 0.643773 + 0.286626i
\(655\) 32.6230 + 12.3117i 1.27469 + 0.481057i
\(656\) 17.5371 + 70.3374i 0.684709 + 2.74622i
\(657\) −4.67981 8.10566i −0.182577 0.316232i
\(658\) −22.3298 + 9.94187i −0.870506 + 0.387574i
\(659\) 0.720907 + 20.6441i 0.0280825 + 0.804179i 0.928976 + 0.370139i \(0.120690\pi\)
−0.900894 + 0.434040i \(0.857088\pi\)
\(660\) −48.9643 22.4963i −1.90593 0.875667i
\(661\) −13.8009 + 1.93959i −0.536792 + 0.0754412i −0.402360 0.915482i \(-0.631810\pi\)
−0.134432 + 0.990923i \(0.542921\pi\)
\(662\) −14.4341 + 18.4748i −0.560998 + 0.718045i
\(663\) −0.320495 0.793252i −0.0124470 0.0308074i
\(664\) −27.5886 84.9091i −1.07065 3.29511i
\(665\) 14.1183 22.5649i 0.547483 0.875028i
\(666\) 0.993442 3.05750i 0.0384951 0.118476i
\(667\) −8.72319 + 0.609985i −0.337763 + 0.0236187i
\(668\) 51.4696 + 18.7334i 1.99142 + 0.724818i
\(669\) 5.74470 5.54759i 0.222103 0.214482i
\(670\) 50.1505 54.3931i 1.93748 2.10139i
\(671\) −0.864555 + 1.28176i −0.0333758 + 0.0494816i
\(672\) 3.37270 + 32.0891i 0.130105 + 1.23786i
\(673\) 4.03310 4.47921i 0.155465 0.172661i −0.660381 0.750931i \(-0.729605\pi\)
0.815846 + 0.578270i \(0.196272\pi\)
\(674\) −8.46987 7.10707i −0.326247 0.273754i
\(675\) 28.2679 + 0.667252i 1.08803 + 0.0256825i
\(676\) 22.4265 + 38.8438i 0.862558 + 1.49399i
\(677\) −16.7542 3.56121i −0.643914 0.136868i −0.125631 0.992077i \(-0.540095\pi\)
−0.518284 + 0.855209i \(0.673429\pi\)
\(678\) −19.7322 + 29.2542i −0.757811 + 1.12350i
\(679\) 4.10744 + 3.96651i 0.157629 + 0.152221i
\(680\) −2.24469 + 4.46772i −0.0860801 + 0.171329i
\(681\) −14.1012 20.9058i −0.540357 0.801113i
\(682\) 66.2460 55.5870i 2.53669 2.12854i
\(683\) −6.27923 4.56213i −0.240268 0.174565i 0.461135 0.887330i \(-0.347443\pi\)
−0.701403 + 0.712765i \(0.747443\pi\)
\(684\) 18.9899 + 3.12915i 0.726098 + 0.119646i
\(685\) −5.17892 6.79242i −0.197876 0.259525i
\(686\) −39.1620 24.4711i −1.49521 0.934313i
\(687\) −0.945835 + 1.21061i −0.0360858 + 0.0461878i
\(688\) −27.2605 14.4947i −1.03930 0.552604i
\(689\) 17.1894 9.13977i 0.654864 0.348197i
\(690\) 18.0128 + 11.5534i 0.685736 + 0.439831i
\(691\) 0.270254 + 0.300147i 0.0102809 + 0.0114181i 0.748263 0.663402i \(-0.230888\pi\)
−0.737982 + 0.674820i \(0.764221\pi\)
\(692\) −8.77949 + 83.5313i −0.333746 + 3.17538i
\(693\) −7.08362 5.94386i −0.269085 0.225789i
\(694\) 12.6379 + 50.6880i 0.479729 + 1.92409i
\(695\) 11.6165 + 49.0500i 0.440640 + 1.86057i
\(696\) 3.51842 + 33.4756i 0.133365 + 1.26889i
\(697\) 1.53001 2.26834i 0.0579534 0.0859195i
\(698\) −20.6529 + 10.9813i −0.781723 + 0.415650i
\(699\) 2.23424 12.6710i 0.0845067 0.479261i
\(700\) 38.1510 + 51.2810i 1.44197 + 1.93824i
\(701\) 6.12390 5.13856i 0.231297 0.194081i −0.519772 0.854305i \(-0.673983\pi\)
0.751069 + 0.660224i \(0.229539\pi\)
\(702\) −8.35076 25.7010i −0.315179 0.970022i
\(703\) 0.465243 + 5.72874i 0.0175470 + 0.216063i
\(704\) 12.1858 8.85350i 0.459269 0.333679i
\(705\) 10.8340 + 2.43679i 0.408030 + 0.0917747i
\(706\) 17.8891 + 26.5217i 0.673266 + 0.998157i
\(707\) −0.0348034 + 0.197380i −0.00130892 + 0.00742324i
\(708\) −4.82100 + 9.88452i −0.181184 + 0.371483i
\(709\) −0.0148192 0.424365i −0.000556545 0.0159374i 0.999081 0.0428671i \(-0.0136492\pi\)
−0.999637 + 0.0269297i \(0.991427\pi\)
\(710\) −14.2506 + 75.5921i −0.534816 + 2.83692i
\(711\) −10.1203 + 11.2397i −0.379539 + 0.421521i
\(712\) 72.2345 45.1372i 2.70710 1.69159i
\(713\) −20.4061 + 12.7511i −0.764213 + 0.477534i
\(714\) 2.18576 2.42753i 0.0817999 0.0908480i
\(715\) 6.34748 + 13.4137i 0.237382 + 0.501645i
\(716\) 0.526628 + 15.0807i 0.0196810 + 0.563591i
\(717\) −15.4938 + 31.7670i −0.578626 + 1.18636i
\(718\) −11.0582 + 62.7143i −0.412689 + 2.34048i
\(719\) −24.6203 36.5011i −0.918183 1.36126i −0.932425 0.361364i \(-0.882311\pi\)
0.0142420 0.999899i \(-0.495466\pi\)
\(720\) −9.19960 + 15.5086i −0.342849 + 0.577972i
\(721\) 18.4854 13.4304i 0.688431 0.500175i
\(722\) −47.7958 + 11.2860i −1.77878 + 0.420021i
\(723\) −0.768514 2.36524i −0.0285814 0.0879644i
\(724\) −84.2276 + 70.6753i −3.13029 + 2.62663i
\(725\) 10.1086 + 13.5875i 0.375423 + 0.504627i
\(726\) 1.21409 6.88545i 0.0450591 0.255543i
\(727\) −25.7309 + 13.6813i −0.954305 + 0.507413i −0.872167 0.489208i \(-0.837286\pi\)
−0.0821381 + 0.996621i \(0.526175\pi\)
\(728\) 19.5637 29.0044i 0.725080 1.07498i
\(729\) −3.06390 29.1511i −0.113478 1.07967i
\(730\) −48.9902 + 29.8145i −1.81321 + 1.10349i
\(731\) 0.281920 + 1.13072i 0.0104272 + 0.0418211i
\(732\) −2.21485 1.85848i −0.0818632 0.0686914i
\(733\) 3.86404 36.7639i 0.142722 1.35791i −0.655342 0.755332i \(-0.727476\pi\)
0.798064 0.602573i \(-0.205858\pi\)
\(734\) −48.3917 53.7444i −1.78617 1.98374i
\(735\) −0.533940 1.36780i −0.0196947 0.0504520i
\(736\) −18.7799 + 9.98547i −0.692238 + 0.368069i
\(737\) 40.5726 + 21.5728i 1.49451 + 0.794645i
\(738\) 12.7277 16.2907i 0.468514 0.599670i
\(739\) 35.7455 + 22.3363i 1.31492 + 0.821653i 0.992178 0.124834i \(-0.0398398\pi\)
0.322742 + 0.946487i \(0.395395\pi\)
\(740\) −13.2210 3.96049i −0.486015 0.145590i
\(741\) 7.52760 + 8.76929i 0.276533 + 0.322148i
\(742\) 60.1352 + 43.6908i 2.20763 + 1.60394i
\(743\) −30.6629 + 25.7293i −1.12491 + 0.943915i −0.998842 0.0481060i \(-0.984681\pi\)
−0.126072 + 0.992021i \(0.540237\pi\)
\(744\) 51.7940 + 76.7877i 1.89886 + 2.81517i
\(745\) −28.2137 27.8965i −1.03367 1.02205i
\(746\) 53.4001 + 51.5679i 1.95512 + 1.88803i
\(747\) −6.79579 + 10.0752i −0.248645 + 0.368631i
\(748\) −5.30362 1.12732i −0.193920 0.0412189i
\(749\) 10.0550 + 17.4157i 0.367400 + 0.636356i
\(750\) 0.0204598 41.4441i 0.000747085 1.51332i
\(751\) −18.4630 15.4923i −0.673723 0.565321i 0.240442 0.970664i \(-0.422708\pi\)
−0.914165 + 0.405343i \(0.867152\pi\)
\(752\) −19.8091 + 22.0002i −0.722363 + 0.802265i
\(753\) −1.65623 15.7580i −0.0603564 0.574253i
\(754\) 9.05070 13.4182i 0.329607 0.488662i
\(755\) 35.2909 + 16.2142i 1.28437 + 0.590094i
\(756\) 52.0018 50.2175i 1.89129 1.82639i
\(757\) 11.1801 + 4.06921i 0.406346 + 0.147898i 0.537103 0.843517i \(-0.319519\pi\)
−0.130757 + 0.991414i \(0.541741\pi\)
\(758\) −64.4829 + 4.50909i −2.34213 + 0.163777i
\(759\) −4.10720 + 12.6407i −0.149082 + 0.458827i
\(760\) 9.43853 66.8777i 0.342372 2.42591i
\(761\) 5.38089 + 16.5607i 0.195057 + 0.600324i 0.999976 + 0.00693919i \(0.00220883\pi\)
−0.804919 + 0.593385i \(0.797791\pi\)
\(762\) −22.2047 54.9586i −0.804392 1.99094i
\(763\) 8.17398 10.4622i 0.295918 0.378758i
\(764\) 21.8816 3.07525i 0.791647 0.111259i
\(765\) 0.667352 0.133640i 0.0241282 0.00483176i
\(766\) −1.29301 37.0270i −0.0467184 1.33784i
\(767\) 2.76685 1.23188i 0.0999051 0.0444806i
\(768\) −16.4550 28.5008i −0.593767 1.02843i
\(769\) 7.39280 + 29.6509i 0.266591 + 1.06924i 0.943021 + 0.332732i \(0.107971\pi\)
−0.676430 + 0.736507i \(0.736474\pi\)
\(770\) −35.4074 + 44.2335i −1.27600 + 1.59406i
\(771\) 1.58286 + 0.704737i 0.0570055 +