Properties

Label 105.2.x.a.23.3
Level 105
Weight 2
Character 105.23
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 23.3
Character \(\chi\) = 105.23
Dual form 105.2.x.a.32.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.46015 + 0.391246i) q^{2} +(1.49243 - 0.879005i) q^{3} +(0.246919 - 0.142558i) q^{4} +(-0.207883 + 2.22638i) q^{5} +(-1.83527 + 1.86739i) q^{6} +(2.36949 + 1.17707i) q^{7} +(1.83305 - 1.83305i) q^{8} +(1.45470 - 2.62371i) q^{9} +O(q^{10})\) \(q+(-1.46015 + 0.391246i) q^{2} +(1.49243 - 0.879005i) q^{3} +(0.246919 - 0.142558i) q^{4} +(-0.207883 + 2.22638i) q^{5} +(-1.83527 + 1.86739i) q^{6} +(2.36949 + 1.17707i) q^{7} +(1.83305 - 1.83305i) q^{8} +(1.45470 - 2.62371i) q^{9} +(-0.567525 - 3.33219i) q^{10} +(-0.791646 + 0.457057i) q^{11} +(0.243199 - 0.429801i) q^{12} +(3.07974 + 3.07974i) q^{13} +(-3.92035 - 0.791646i) q^{14} +(1.64675 + 3.50545i) q^{15} +(-2.24447 + 3.88754i) q^{16} +(0.311437 - 1.16230i) q^{17} +(-1.09756 + 4.40016i) q^{18} +(-5.95337 - 3.43718i) q^{19} +(0.266060 + 0.579371i) q^{20} +(4.57096 - 0.326101i) q^{21} +(0.977102 - 0.977102i) q^{22} +(-0.505926 - 1.88814i) q^{23} +(1.12444 - 4.34696i) q^{24} +(-4.91357 - 0.925653i) q^{25} +(-5.70182 - 3.29195i) q^{26} +(-0.135217 - 5.19439i) q^{27} +(0.752874 - 0.0471508i) q^{28} -2.72261 q^{29} +(-3.77601 - 4.47421i) q^{30} +(-2.31688 - 4.01295i) q^{31} +(0.414399 - 1.54656i) q^{32} +(-0.779722 + 1.37799i) q^{33} +1.81898i q^{34} +(-3.11319 + 5.03071i) q^{35} +(-0.0148398 - 0.855222i) q^{36} +(0.207656 + 0.774982i) q^{37} +(10.0376 + 2.68957i) q^{38} +(7.30340 + 1.88919i) q^{39} +(3.70001 + 4.46213i) q^{40} +0.922837i q^{41} +(-6.54671 + 2.26453i) q^{42} +(-4.80893 - 4.80893i) q^{43} +(-0.130315 + 0.225712i) q^{44} +(5.53898 + 3.78414i) q^{45} +(1.47746 + 2.55903i) q^{46} +(10.1240 - 2.71272i) q^{47} +(0.0674490 + 7.77478i) q^{48} +(4.22901 + 5.57813i) q^{49} +(7.53672 - 0.570823i) q^{50} +(-0.556868 - 2.00840i) q^{51} +(1.19949 + 0.321402i) q^{52} +(-10.6535 - 2.85459i) q^{53} +(2.22972 + 7.53170i) q^{54} +(-0.853015 - 1.85752i) q^{55} +(6.50102 - 2.18577i) q^{56} +(-11.9063 + 0.103291i) q^{57} +(3.97543 - 1.06521i) q^{58} +(4.94023 + 8.55672i) q^{59} +(0.906346 + 0.630803i) q^{60} +(0.533944 - 0.924818i) q^{61} +(4.95304 + 4.95304i) q^{62} +(6.53519 - 4.50458i) q^{63} -6.55754i q^{64} +(-7.49690 + 6.21646i) q^{65} +(0.599379 - 2.31713i) q^{66} +(6.83458 + 1.83132i) q^{67} +(-0.0887959 - 0.331391i) q^{68} +(-2.41475 - 2.37321i) q^{69} +(2.57748 - 8.56363i) q^{70} +0.557759i q^{71} +(-2.14285 - 7.47592i) q^{72} +(-0.564147 + 2.10543i) q^{73} +(-0.606418 - 1.05035i) q^{74} +(-8.14682 + 2.93758i) q^{75} -1.96000 q^{76} +(-2.41379 + 0.151170i) q^{77} +(-11.4032 + 0.0989269i) q^{78} +(-2.62503 - 1.51556i) q^{79} +(-8.18857 - 5.80521i) q^{80} +(-4.76770 - 7.63342i) q^{81} +(-0.361057 - 1.34748i) q^{82} +(2.38102 - 2.38102i) q^{83} +(1.08217 - 0.732149i) q^{84} +(2.52298 + 0.934999i) q^{85} +(8.90325 + 5.14029i) q^{86} +(-4.06331 + 2.39319i) q^{87} +(-0.613318 + 2.28893i) q^{88} +(5.64725 - 9.78132i) q^{89} +(-9.56828 - 3.35832i) q^{90} +(3.67235 + 10.9225i) q^{91} +(-0.394093 - 0.394093i) q^{92} +(-6.98518 - 3.95250i) q^{93} +(-13.7213 + 7.92197i) q^{94} +(8.89008 - 12.5400i) q^{95} +(-0.740971 - 2.67239i) q^{96} +(-1.58805 + 1.58805i) q^{97} +(-8.35741 - 6.49033i) q^{98} +(0.0475780 + 2.74193i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.46015 + 0.391246i −1.03248 + 0.276653i −0.734995 0.678072i \(-0.762816\pi\)
−0.297488 + 0.954726i \(0.596149\pi\)
\(3\) 1.49243 0.879005i 0.861655 0.507494i
\(4\) 0.246919 0.142558i 0.123459 0.0712792i
\(5\) −0.207883 + 2.22638i −0.0929679 + 0.995669i
\(6\) −1.83527 + 1.86739i −0.749245 + 0.762359i
\(7\) 2.36949 + 1.17707i 0.895585 + 0.444891i
\(8\) 1.83305 1.83305i 0.648080 0.648080i
\(9\) 1.45470 2.62371i 0.484900 0.874570i
\(10\) −0.567525 3.33219i −0.179467 1.05373i
\(11\) −0.791646 + 0.457057i −0.238690 + 0.137808i −0.614575 0.788859i \(-0.710672\pi\)
0.375884 + 0.926667i \(0.377339\pi\)
\(12\) 0.243199 0.429801i 0.0702055 0.124073i
\(13\) 3.07974 + 3.07974i 0.854166 + 0.854166i 0.990643 0.136477i \(-0.0435781\pi\)
−0.136477 + 0.990643i \(0.543578\pi\)
\(14\) −3.92035 0.791646i −1.04776 0.211576i
\(15\) 1.64675 + 3.50545i 0.425190 + 0.905104i
\(16\) −2.24447 + 3.88754i −0.561118 + 0.971885i
\(17\) 0.311437 1.16230i 0.0755345 0.281899i −0.917819 0.396998i \(-0.870052\pi\)
0.993354 + 0.115099i \(0.0367187\pi\)
\(18\) −1.09756 + 4.40016i −0.258698 + 1.03713i
\(19\) −5.95337 3.43718i −1.36580 0.788543i −0.375409 0.926859i \(-0.622498\pi\)
−0.990388 + 0.138316i \(0.955831\pi\)
\(20\) 0.266060 + 0.579371i 0.0594928 + 0.129551i
\(21\) 4.57096 0.326101i 0.997465 0.0711610i
\(22\) 0.977102 0.977102i 0.208319 0.208319i
\(23\) −0.505926 1.88814i −0.105493 0.393705i 0.892908 0.450240i \(-0.148661\pi\)
−0.998401 + 0.0565348i \(0.981995\pi\)
\(24\) 1.12444 4.34696i 0.229525 0.887318i
\(25\) −4.91357 0.925653i −0.982714 0.185131i
\(26\) −5.70182 3.29195i −1.11822 0.645604i
\(27\) −0.135217 5.19439i −0.0260225 0.999661i
\(28\) 0.752874 0.0471508i 0.142280 0.00891066i
\(29\) −2.72261 −0.505576 −0.252788 0.967522i \(-0.581348\pi\)
−0.252788 + 0.967522i \(0.581348\pi\)
\(30\) −3.77601 4.47421i −0.689401 0.816875i
\(31\) −2.31688 4.01295i −0.416123 0.720747i 0.579422 0.815028i \(-0.303278\pi\)
−0.995546 + 0.0942806i \(0.969945\pi\)
\(32\) 0.414399 1.54656i 0.0732561 0.273395i
\(33\) −0.779722 + 1.37799i −0.135732 + 0.239877i
\(34\) 1.81898i 0.311952i
\(35\) −3.11319 + 5.03071i −0.526225 + 0.850345i
\(36\) −0.0148398 0.855222i −0.00247330 0.142537i
\(37\) 0.207656 + 0.774982i 0.0341384 + 0.127406i 0.980892 0.194552i \(-0.0623255\pi\)
−0.946754 + 0.321959i \(0.895659\pi\)
\(38\) 10.0376 + 2.68957i 1.62832 + 0.436306i
\(39\) 7.30340 + 1.88919i 1.16948 + 0.302513i
\(40\) 3.70001 + 4.46213i 0.585023 + 0.705524i
\(41\) 0.922837i 0.144123i 0.997400 + 0.0720615i \(0.0229578\pi\)
−0.997400 + 0.0720615i \(0.977042\pi\)
\(42\) −6.54671 + 2.26453i −1.01018 + 0.349424i
\(43\) −4.80893 4.80893i −0.733355 0.733355i 0.237928 0.971283i \(-0.423532\pi\)
−0.971283 + 0.237928i \(0.923532\pi\)
\(44\) −0.130315 + 0.225712i −0.0196457 + 0.0340273i
\(45\) 5.53898 + 3.78414i 0.825702 + 0.564107i
\(46\) 1.47746 + 2.55903i 0.217839 + 0.377309i
\(47\) 10.1240 2.71272i 1.47674 0.395691i 0.571503 0.820600i \(-0.306360\pi\)
0.905236 + 0.424909i \(0.139694\pi\)
\(48\) 0.0674490 + 7.77478i 0.00973542 + 1.12219i
\(49\) 4.22901 + 5.57813i 0.604144 + 0.796875i
\(50\) 7.53672 0.570823i 1.06585 0.0807265i
\(51\) −0.556868 2.00840i −0.0779771 0.281233i
\(52\) 1.19949 + 0.321402i 0.166339 + 0.0445704i
\(53\) −10.6535 2.85459i −1.46336 0.392107i −0.562714 0.826651i \(-0.690243\pi\)
−0.900651 + 0.434544i \(0.856910\pi\)
\(54\) 2.22972 + 7.53170i 0.303427 + 1.02493i
\(55\) −0.853015 1.85752i −0.115021 0.250468i
\(56\) 6.50102 2.18577i 0.868736 0.292086i
\(57\) −11.9063 + 0.103291i −1.57703 + 0.0136813i
\(58\) 3.97543 1.06521i 0.521999 0.139869i
\(59\) 4.94023 + 8.55672i 0.643163 + 1.11399i 0.984723 + 0.174130i \(0.0557114\pi\)
−0.341560 + 0.939860i \(0.610955\pi\)
\(60\) 0.906346 + 0.630803i 0.117009 + 0.0814363i
\(61\) 0.533944 0.924818i 0.0683645 0.118411i −0.829817 0.558036i \(-0.811555\pi\)
0.898182 + 0.439625i \(0.144889\pi\)
\(62\) 4.95304 + 4.95304i 0.629037 + 0.629037i
\(63\) 6.53519 4.50458i 0.823357 0.567524i
\(64\) 6.55754i 0.819693i
\(65\) −7.49690 + 6.21646i −0.929877 + 0.771057i
\(66\) 0.599379 2.31713i 0.0737785 0.285220i
\(67\) 6.83458 + 1.83132i 0.834977 + 0.223732i 0.650884 0.759177i \(-0.274398\pi\)
0.184093 + 0.982909i \(0.441065\pi\)
\(68\) −0.0887959 0.331391i −0.0107681 0.0401870i
\(69\) −2.41475 2.37321i −0.290701 0.285701i
\(70\) 2.57748 8.56363i 0.308068 1.02355i
\(71\) 0.557759i 0.0661938i 0.999452 + 0.0330969i \(0.0105370\pi\)
−0.999452 + 0.0330969i \(0.989463\pi\)
\(72\) −2.14285 7.47592i −0.252537 0.881045i
\(73\) −0.564147 + 2.10543i −0.0660284 + 0.246421i −0.991050 0.133494i \(-0.957380\pi\)
0.925021 + 0.379915i \(0.124047\pi\)
\(74\) −0.606418 1.05035i −0.0704946 0.122100i
\(75\) −8.14682 + 2.93758i −0.940713 + 0.339203i
\(76\) −1.96000 −0.224827
\(77\) −2.41379 + 0.151170i −0.275077 + 0.0172275i
\(78\) −11.4032 + 0.0989269i −1.29116 + 0.0112013i
\(79\) −2.62503 1.51556i −0.295339 0.170514i 0.345008 0.938600i \(-0.387876\pi\)
−0.640347 + 0.768086i \(0.721210\pi\)
\(80\) −8.18857 5.80521i −0.915509 0.649042i
\(81\) −4.76770 7.63342i −0.529745 0.848157i
\(82\) −0.361057 1.34748i −0.0398720 0.148805i
\(83\) 2.38102 2.38102i 0.261351 0.261351i −0.564252 0.825603i \(-0.690835\pi\)
0.825603 + 0.564252i \(0.190835\pi\)
\(84\) 1.08217 0.732149i 0.118074 0.0798840i
\(85\) 2.52298 + 0.934999i 0.273655 + 0.101415i
\(86\) 8.90325 + 5.14029i 0.960062 + 0.554292i
\(87\) −4.06331 + 2.39319i −0.435632 + 0.256577i
\(88\) −0.613318 + 2.28893i −0.0653799 + 0.244001i
\(89\) 5.64725 9.78132i 0.598607 1.03682i −0.394420 0.918930i \(-0.629054\pi\)
0.993027 0.117888i \(-0.0376123\pi\)
\(90\) −9.56828 3.35832i −1.00859 0.353998i
\(91\) 3.67235 + 10.9225i 0.384967 + 1.14499i
\(92\) −0.394093 0.394093i −0.0410871 0.0410871i
\(93\) −6.98518 3.95250i −0.724330 0.409855i
\(94\) −13.7213 + 7.92197i −1.41524 + 0.817089i
\(95\) 8.89008 12.5400i 0.912103 1.28657i
\(96\) −0.740971 2.67239i −0.0756250 0.272750i
\(97\) −1.58805 + 1.58805i −0.161242 + 0.161242i −0.783117 0.621875i \(-0.786371\pi\)
0.621875 + 0.783117i \(0.286371\pi\)
\(98\) −8.35741 6.49033i −0.844226 0.655622i
\(99\) 0.0475780 + 2.74193i 0.00478177 + 0.275574i
\(100\) −1.34521 + 0.471910i −0.134521 + 0.0471910i
\(101\) −4.02299 + 2.32267i −0.400302 + 0.231114i −0.686614 0.727022i \(-0.740904\pi\)
0.286312 + 0.958136i \(0.407571\pi\)
\(102\) 1.59889 + 2.71470i 0.158314 + 0.268795i
\(103\) 10.1719 2.72555i 1.00227 0.268556i 0.279871 0.960037i \(-0.409708\pi\)
0.722395 + 0.691481i \(0.243041\pi\)
\(104\) 11.2906 1.10714
\(105\) −0.224198 + 10.2445i −0.0218794 + 0.999761i
\(106\) 16.6725 1.61938
\(107\) −6.11150 + 1.63757i −0.590821 + 0.158310i −0.541829 0.840489i \(-0.682268\pi\)
−0.0489927 + 0.998799i \(0.515601\pi\)
\(108\) −0.773892 1.26332i −0.0744678 0.121563i
\(109\) −7.46435 + 4.30954i −0.714955 + 0.412779i −0.812893 0.582413i \(-0.802109\pi\)
0.0979381 + 0.995193i \(0.468775\pi\)
\(110\) 1.97228 + 2.37853i 0.188050 + 0.226784i
\(111\) 0.991125 + 0.974076i 0.0940734 + 0.0924552i
\(112\) −9.89417 + 6.56960i −0.934911 + 0.620769i
\(113\) −7.44178 + 7.44178i −0.700064 + 0.700064i −0.964424 0.264360i \(-0.914839\pi\)
0.264360 + 0.964424i \(0.414839\pi\)
\(114\) 17.3446 4.80912i 1.62447 0.450415i
\(115\) 4.30890 0.733874i 0.401807 0.0684341i
\(116\) −0.672263 + 0.388131i −0.0624181 + 0.0360371i
\(117\) 12.5604 3.60025i 1.16121 0.332843i
\(118\) −10.5613 10.5613i −0.972243 0.972243i
\(119\) 2.10605 2.38747i 0.193062 0.218859i
\(120\) 9.44424 + 3.40709i 0.862137 + 0.311023i
\(121\) −5.08220 + 8.80262i −0.462018 + 0.800239i
\(122\) −0.417807 + 1.55928i −0.0378265 + 0.141170i
\(123\) 0.811179 + 1.37727i 0.0731415 + 0.124184i
\(124\) −1.14416 0.660581i −0.102749 0.0593219i
\(125\) 3.08230 10.7471i 0.275690 0.961247i
\(126\) −7.77997 + 9.13424i −0.693095 + 0.813743i
\(127\) −4.42895 + 4.42895i −0.393006 + 0.393006i −0.875757 0.482752i \(-0.839637\pi\)
0.482752 + 0.875757i \(0.339637\pi\)
\(128\) 3.39441 + 12.6681i 0.300027 + 1.11971i
\(129\) −11.4041 2.94992i −1.00407 0.259726i
\(130\) 8.51445 12.0101i 0.746767 1.05336i
\(131\) −7.37260 4.25658i −0.644147 0.371899i 0.142063 0.989858i \(-0.454626\pi\)
−0.786210 + 0.617959i \(0.787960\pi\)
\(132\) 0.00391611 + 0.451407i 0.000340854 + 0.0392899i
\(133\) −10.0607 15.1519i −0.872371 1.31384i
\(134\) −10.6960 −0.923996
\(135\) 11.5928 + 0.778780i 0.997751 + 0.0670267i
\(136\) −1.55967 2.70143i −0.133740 0.231645i
\(137\) −2.67426 + 9.98048i −0.228478 + 0.852690i 0.752504 + 0.658588i \(0.228846\pi\)
−0.980981 + 0.194102i \(0.937821\pi\)
\(138\) 4.45441 + 2.52049i 0.379184 + 0.214558i
\(139\) 3.03547i 0.257465i 0.991679 + 0.128733i \(0.0410909\pi\)
−0.991679 + 0.128733i \(0.958909\pi\)
\(140\) −0.0515336 + 1.68599i −0.00435539 + 0.142492i
\(141\) 12.7249 12.9476i 1.07163 1.09039i
\(142\) −0.218221 0.814412i −0.0183127 0.0683440i
\(143\) −3.84568 1.03045i −0.321592 0.0861703i
\(144\) 6.93474 + 11.5440i 0.577895 + 0.962003i
\(145\) 0.565984 6.06158i 0.0470024 0.503387i
\(146\) 3.29496i 0.272693i
\(147\) 11.2147 + 4.60765i 0.924973 + 0.380033i
\(148\) 0.161754 + 0.161754i 0.0132961 + 0.0132961i
\(149\) −6.44006 + 11.1545i −0.527590 + 0.913813i 0.471892 + 0.881656i \(0.343571\pi\)
−0.999483 + 0.0321573i \(0.989762\pi\)
\(150\) 10.7463 7.47673i 0.877429 0.610472i
\(151\) −5.94939 10.3046i −0.484154 0.838580i 0.515680 0.856781i \(-0.327539\pi\)
−0.999834 + 0.0182013i \(0.994206\pi\)
\(152\) −17.2133 + 4.61230i −1.39619 + 0.374107i
\(153\) −2.59648 2.50791i −0.209913 0.202753i
\(154\) 3.46536 1.16512i 0.279246 0.0938879i
\(155\) 9.41600 4.32404i 0.756312 0.347315i
\(156\) 2.07267 0.574686i 0.165946 0.0460117i
\(157\) 13.4384 + 3.60080i 1.07250 + 0.287375i 0.751520 0.659711i \(-0.229321\pi\)
0.320980 + 0.947086i \(0.395988\pi\)
\(158\) 4.42591 + 1.18592i 0.352106 + 0.0943466i
\(159\) −18.4087 + 5.10417i −1.45991 + 0.404787i
\(160\) 3.35709 + 1.24411i 0.265401 + 0.0983558i
\(161\) 1.02369 5.06945i 0.0806780 0.399529i
\(162\) 9.94811 + 9.28060i 0.781598 + 0.729153i
\(163\) 23.2728 6.23594i 1.82287 0.488436i 0.825733 0.564061i \(-0.190762\pi\)
0.997136 + 0.0756252i \(0.0240953\pi\)
\(164\) 0.131558 + 0.227866i 0.0102730 + 0.0177933i
\(165\) −2.90584 2.02242i −0.226219 0.157445i
\(166\) −2.54508 + 4.40821i −0.197537 + 0.342144i
\(167\) −4.98846 4.98846i −0.386018 0.386018i 0.487246 0.873265i \(-0.338001\pi\)
−0.873265 + 0.487246i \(0.838001\pi\)
\(168\) 7.78103 8.97654i 0.600319 0.692555i
\(169\) 5.96958i 0.459199i
\(170\) −4.04975 0.378134i −0.310601 0.0290016i
\(171\) −17.6785 + 10.6199i −1.35191 + 0.812120i
\(172\) −1.87297 0.501860i −0.142813 0.0382665i
\(173\) 6.22848 + 23.2450i 0.473543 + 1.76728i 0.626885 + 0.779112i \(0.284330\pi\)
−0.153342 + 0.988173i \(0.549004\pi\)
\(174\) 4.99672 5.08418i 0.378800 0.385430i
\(175\) −10.5531 7.97695i −0.797741 0.603001i
\(176\) 4.10341i 0.309306i
\(177\) 14.8943 + 8.42783i 1.11953 + 0.633474i
\(178\) −4.41893 + 16.4917i −0.331213 + 1.23610i
\(179\) −2.55927 4.43279i −0.191289 0.331322i 0.754389 0.656428i \(-0.227933\pi\)
−0.945678 + 0.325106i \(0.894600\pi\)
\(180\) 1.90714 + 0.144747i 0.142150 + 0.0107888i
\(181\) −1.77024 −0.131581 −0.0657906 0.997833i \(-0.520957\pi\)
−0.0657906 + 0.997833i \(0.520957\pi\)
\(182\) −9.63558 14.5117i −0.714237 1.07568i
\(183\) −0.0160456 1.84957i −0.00118613 0.136724i
\(184\) −4.38844 2.53367i −0.323520 0.186784i
\(185\) −1.76857 + 0.301216i −0.130028 + 0.0221458i
\(186\) 11.7458 + 3.03832i 0.861246 + 0.222781i
\(187\) 0.284689 + 1.06247i 0.0208185 + 0.0776957i
\(188\) 2.11309 2.11309i 0.154113 0.154113i
\(189\) 5.79378 12.4672i 0.421435 0.906859i
\(190\) −8.07466 + 21.7885i −0.585797 + 1.58070i
\(191\) 7.94932 + 4.58954i 0.575193 + 0.332088i 0.759221 0.650833i \(-0.225580\pi\)
−0.184028 + 0.982921i \(0.558914\pi\)
\(192\) −5.76412 9.78668i −0.415989 0.706293i
\(193\) −1.83608 + 6.85235i −0.132164 + 0.493243i −0.999993 0.00361952i \(-0.998848\pi\)
0.867829 + 0.496862i \(0.165515\pi\)
\(194\) 1.69748 2.94012i 0.121872 0.211088i
\(195\) −5.72431 + 15.8674i −0.409927 + 1.13629i
\(196\) 1.83943 + 0.774462i 0.131388 + 0.0553187i
\(197\) 12.5538 + 12.5538i 0.894420 + 0.894420i 0.994935 0.100516i \(-0.0320493\pi\)
−0.100516 + 0.994935i \(0.532049\pi\)
\(198\) −1.14224 3.98502i −0.0811756 0.283203i
\(199\) 14.9099 8.60825i 1.05694 0.610222i 0.132353 0.991203i \(-0.457747\pi\)
0.924583 + 0.380980i \(0.124413\pi\)
\(200\) −10.7036 + 7.31004i −0.756857 + 0.516898i
\(201\) 11.8099 3.27452i 0.833005 0.230967i
\(202\) 4.96543 4.96543i 0.349367 0.349367i
\(203\) −6.45121 3.20471i −0.452786 0.224926i
\(204\) −0.423816 0.416526i −0.0296731 0.0291626i
\(205\) −2.05459 0.191842i −0.143499 0.0133988i
\(206\) −13.7861 + 7.95943i −0.960526 + 0.554560i
\(207\) −5.68991 1.41928i −0.395476 0.0986465i
\(208\) −18.8850 + 5.06022i −1.30944 + 0.350863i
\(209\) 6.28395 0.434670
\(210\) −3.68076 15.0462i −0.253997 1.03829i
\(211\) −9.75343 −0.671454 −0.335727 0.941959i \(-0.608982\pi\)
−0.335727 + 0.941959i \(0.608982\pi\)
\(212\) −3.03748 + 0.813891i −0.208615 + 0.0558982i
\(213\) 0.490273 + 0.832416i 0.0335929 + 0.0570362i
\(214\) 8.28303 4.78221i 0.566216 0.326905i
\(215\) 11.7062 9.70683i 0.798358 0.662001i
\(216\) −9.76943 9.27371i −0.664725 0.630996i
\(217\) −0.766300 12.2358i −0.0520198 0.830620i
\(218\) 9.21299 9.21299i 0.623982 0.623982i
\(219\) 1.00873 + 3.63809i 0.0681636 + 0.245839i
\(220\) −0.475431 0.337052i −0.0320536 0.0227241i
\(221\) 4.53872 2.62043i 0.305307 0.176269i
\(222\) −1.82830 1.03452i −0.122707 0.0694328i
\(223\) 9.17286 + 9.17286i 0.614260 + 0.614260i 0.944053 0.329793i \(-0.106979\pi\)
−0.329793 + 0.944053i \(0.606979\pi\)
\(224\) 2.80232 3.17678i 0.187238 0.212258i
\(225\) −9.57641 + 11.5452i −0.638427 + 0.769682i
\(226\) 7.95456 13.7777i 0.529129 0.916479i
\(227\) 6.22238 23.2222i 0.412994 1.54131i −0.375826 0.926690i \(-0.622641\pi\)
0.788820 0.614624i \(-0.210692\pi\)
\(228\) −2.92516 + 1.72285i −0.193723 + 0.114098i
\(229\) 2.82056 + 1.62845i 0.186388 + 0.107611i 0.590290 0.807191i \(-0.299013\pi\)
−0.403903 + 0.914802i \(0.632347\pi\)
\(230\) −6.00453 + 2.75741i −0.395927 + 0.181818i
\(231\) −3.46954 + 2.34735i −0.228279 + 0.154444i
\(232\) −4.99068 + 4.99068i −0.327654 + 0.327654i
\(233\) −4.31679 16.1105i −0.282802 1.05543i −0.950430 0.310938i \(-0.899357\pi\)
0.667628 0.744495i \(-0.267310\pi\)
\(234\) −16.9316 + 10.1711i −1.10685 + 0.664908i
\(235\) 3.93495 + 23.1039i 0.256688 + 1.50713i
\(236\) 2.43967 + 1.40854i 0.158809 + 0.0916883i
\(237\) −5.24987 + 0.0455445i −0.341016 + 0.00295843i
\(238\) −2.14107 + 4.31006i −0.138785 + 0.279380i
\(239\) −15.1824 −0.982070 −0.491035 0.871140i \(-0.663381\pi\)
−0.491035 + 0.871140i \(0.663381\pi\)
\(240\) −17.3237 1.46608i −1.11824 0.0946348i
\(241\) −0.0593822 0.102853i −0.00382515 0.00662535i 0.864106 0.503309i \(-0.167884\pi\)
−0.867932 + 0.496684i \(0.834551\pi\)
\(242\) 3.97678 14.8416i 0.255637 0.954052i
\(243\) −13.8253 7.20151i −0.886892 0.461977i
\(244\) 0.304473i 0.0194919i
\(245\) −13.2982 + 8.25579i −0.849590 + 0.527443i
\(246\) −1.72330 1.69365i −0.109873 0.107983i
\(247\) −7.74921 28.9204i −0.493070 1.84016i
\(248\) −11.6029 3.10898i −0.736783 0.197420i
\(249\) 1.46058 5.64643i 0.0925603 0.357828i
\(250\) −0.295882 + 16.8983i −0.0187132 + 1.06874i
\(251\) 16.8255i 1.06202i 0.847367 + 0.531008i \(0.178187\pi\)
−0.847367 + 0.531008i \(0.821813\pi\)
\(252\) 0.971495 2.04391i 0.0611984 0.128754i
\(253\) 1.26350 + 1.26350i 0.0794358 + 0.0794358i
\(254\) 4.73413 8.19975i 0.297046 0.514498i
\(255\) 4.58724 0.822290i 0.287264 0.0514938i
\(256\) −3.35517 5.81133i −0.209698 0.363208i
\(257\) −13.4428 + 3.60198i −0.838538 + 0.224686i −0.652435 0.757845i \(-0.726252\pi\)
−0.186103 + 0.982530i \(0.559586\pi\)
\(258\) 17.8058 0.154472i 1.10854 0.00961699i
\(259\) −0.420170 + 2.08074i −0.0261081 + 0.129291i
\(260\) −0.964916 + 2.60371i −0.0598416 + 0.161475i
\(261\) −3.96058 + 7.14334i −0.245154 + 0.442162i
\(262\) 12.4305 + 3.33074i 0.767958 + 0.205774i
\(263\) 20.7766 + 5.56707i 1.28114 + 0.343280i 0.834288 0.551328i \(-0.185879\pi\)
0.446851 + 0.894608i \(0.352545\pi\)
\(264\) 1.09665 + 3.95518i 0.0674942 + 0.243425i
\(265\) 8.57007 23.1253i 0.526455 1.42057i
\(266\) 20.6182 + 18.1879i 1.26419 + 1.11517i
\(267\) −0.169706 19.5619i −0.0103859 1.19717i
\(268\) 1.94866 0.522141i 0.119033 0.0318948i
\(269\) 9.44119 + 16.3526i 0.575639 + 0.997036i 0.995972 + 0.0896663i \(0.0285801\pi\)
−0.420333 + 0.907370i \(0.638087\pi\)
\(270\) −17.2320 + 3.39851i −1.04870 + 0.206827i
\(271\) 1.85591 3.21453i 0.112739 0.195269i −0.804135 0.594447i \(-0.797371\pi\)
0.916874 + 0.399178i \(0.130704\pi\)
\(272\) 3.81947 + 3.81947i 0.231589 + 0.231589i
\(273\) 15.0817 + 13.0731i 0.912784 + 0.791217i
\(274\) 15.6193i 0.943597i
\(275\) 4.31289 1.51299i 0.260077 0.0912369i
\(276\) −0.934567 0.241747i −0.0562543 0.0145515i
\(277\) −7.30397 1.95709i −0.438853 0.117590i 0.0326260 0.999468i \(-0.489613\pi\)
−0.471479 + 0.881877i \(0.656280\pi\)
\(278\) −1.18762 4.43225i −0.0712286 0.265829i
\(279\) −13.8992 + 0.241178i −0.832122 + 0.0144390i
\(280\) 3.51491 + 14.9282i 0.210056 + 0.892128i
\(281\) 12.0546i 0.719117i −0.933122 0.359559i \(-0.882927\pi\)
0.933122 0.359559i \(-0.117073\pi\)
\(282\) −13.5146 + 23.8841i −0.804781 + 1.42227i
\(283\) −6.21514 + 23.1952i −0.369452 + 1.37881i 0.491833 + 0.870690i \(0.336327\pi\)
−0.861285 + 0.508123i \(0.830340\pi\)
\(284\) 0.0795132 + 0.137721i 0.00471824 + 0.00817224i
\(285\) 2.24515 26.5295i 0.132991 1.57147i
\(286\) 6.01844 0.355878
\(287\) −1.08625 + 2.18666i −0.0641190 + 0.129074i
\(288\) −3.45489 3.33704i −0.203581 0.196637i
\(289\) 13.4685 + 7.77604i 0.792264 + 0.457414i
\(290\) 1.54515 + 9.07226i 0.0907343 + 0.532742i
\(291\) −0.974151 + 3.76596i −0.0571058 + 0.220765i
\(292\) 0.160848 + 0.600292i 0.00941291 + 0.0351295i
\(293\) 12.2498 12.2498i 0.715644 0.715644i −0.252066 0.967710i \(-0.581110\pi\)
0.967710 + 0.252066i \(0.0811101\pi\)
\(294\) −18.1779 2.34016i −1.06016 0.136481i
\(295\) −20.0775 + 9.22004i −1.16896 + 0.536812i
\(296\) 1.80122 + 1.03994i 0.104694 + 0.0604450i
\(297\) 2.48118 + 4.05032i 0.143973 + 0.235023i
\(298\) 5.03930 18.8069i 0.291919 1.08946i
\(299\) 4.25687 7.37311i 0.246181 0.426398i
\(300\) −1.59282 + 1.88674i −0.0919617 + 0.108931i
\(301\) −5.73428 17.0552i −0.330518 0.983045i
\(302\) 12.7187 + 12.7187i 0.731877 + 0.731877i
\(303\) −3.96239 + 7.00265i −0.227633 + 0.402292i
\(304\) 26.7243 15.4293i 1.53275 0.884931i
\(305\) 1.94800 + 1.38102i 0.111542 + 0.0790769i
\(306\) 4.77247 + 2.64607i 0.272824 + 0.151266i
\(307\) −12.5028 + 12.5028i −0.713571 + 0.713571i −0.967280 0.253709i \(-0.918349\pi\)
0.253709 + 0.967280i \(0.418349\pi\)
\(308\) −0.574459 + 0.381433i −0.0327328 + 0.0217342i
\(309\) 12.7851 13.0088i 0.727317 0.740047i
\(310\) −12.0570 + 9.99773i −0.684793 + 0.567833i
\(311\) 20.2993 11.7198i 1.15107 0.664569i 0.201920 0.979402i \(-0.435282\pi\)
0.949147 + 0.314833i \(0.101949\pi\)
\(312\) 16.8505 9.92451i 0.953970 0.561865i
\(313\) 10.2390 2.74353i 0.578742 0.155073i 0.0424390 0.999099i \(-0.486487\pi\)
0.536303 + 0.844026i \(0.319821\pi\)
\(314\) −21.0309 −1.18684
\(315\) 8.67037 + 15.4863i 0.488520 + 0.872553i
\(316\) −0.864226 −0.0486165
\(317\) 19.8428 5.31686i 1.11448 0.298625i 0.345834 0.938296i \(-0.387596\pi\)
0.768649 + 0.639671i \(0.220929\pi\)
\(318\) 24.8826 14.6552i 1.39535 0.821824i
\(319\) 2.15535 1.24439i 0.120676 0.0696724i
\(320\) 14.5996 + 1.36320i 0.816143 + 0.0762052i
\(321\) −7.68156 + 7.81601i −0.428743 + 0.436247i
\(322\) 0.488665 + 7.80269i 0.0272322 + 0.434827i
\(323\) −5.84912 + 5.84912i −0.325454 + 0.325454i
\(324\) −2.26544 1.20516i −0.125858 0.0669531i
\(325\) −12.2817 17.9833i −0.681268 0.997533i
\(326\) −31.5421 + 18.2108i −1.74695 + 1.00860i
\(327\) −7.35191 + 12.9929i −0.406562 + 0.718509i
\(328\) 1.69160 + 1.69160i 0.0934032 + 0.0934032i
\(329\) 27.1819 + 5.48891i 1.49858 + 0.302613i
\(330\) 5.03423 + 1.81614i 0.277125 + 0.0999752i
\(331\) −15.9659 + 27.6537i −0.877564 + 1.51998i −0.0235570 + 0.999722i \(0.507499\pi\)
−0.854007 + 0.520262i \(0.825834\pi\)
\(332\) 0.248483 0.927351i 0.0136373 0.0508950i
\(333\) 2.33540 + 0.582537i 0.127979 + 0.0319228i
\(334\) 9.23562 + 5.33219i 0.505351 + 0.291764i
\(335\) −5.49802 + 14.8357i −0.300389 + 0.810561i
\(336\) −8.99165 + 18.5017i −0.490535 + 1.00935i
\(337\) 9.40161 9.40161i 0.512139 0.512139i −0.403043 0.915181i \(-0.632047\pi\)
0.915181 + 0.403043i \(0.132047\pi\)
\(338\) −2.33558 8.71650i −0.127039 0.474115i
\(339\) −4.56498 + 17.6477i −0.247936 + 0.958492i
\(340\) 0.756262 0.128803i 0.0410141 0.00698534i
\(341\) 3.66830 + 2.11789i 0.198649 + 0.114690i
\(342\) 21.6584 22.4233i 1.17115 1.21251i
\(343\) 3.45475 + 18.1952i 0.186539 + 0.982448i
\(344\) −17.6300 −0.950546
\(345\) 5.78566 4.88281i 0.311490 0.262881i
\(346\) −18.1891 31.5044i −0.977850 1.69369i
\(347\) −4.16271 + 15.5354i −0.223466 + 0.833986i 0.759547 + 0.650452i \(0.225421\pi\)
−0.983013 + 0.183534i \(0.941246\pi\)
\(348\) −0.662137 + 1.17018i −0.0354943 + 0.0627284i
\(349\) 9.21013i 0.493007i 0.969142 + 0.246503i \(0.0792817\pi\)
−0.969142 + 0.246503i \(0.920718\pi\)
\(350\) 18.5301 + 7.51869i 0.990476 + 0.401891i
\(351\) 15.5809 16.4138i 0.831649 0.876104i
\(352\) 0.378808 + 1.41373i 0.0201905 + 0.0753521i
\(353\) 10.0918 + 2.70409i 0.537133 + 0.143924i 0.517180 0.855876i \(-0.326982\pi\)
0.0199530 + 0.999801i \(0.493648\pi\)
\(354\) −25.0454 6.47855i −1.33115 0.344331i
\(355\) −1.24179 0.115948i −0.0659071 0.00615390i
\(356\) 3.22025i 0.170673i
\(357\) 1.04454 5.41437i 0.0552828 0.286559i
\(358\) 5.47124 + 5.47124i 0.289164 + 0.289164i
\(359\) −0.770883 + 1.33521i −0.0406857 + 0.0704697i −0.885651 0.464351i \(-0.846288\pi\)
0.844965 + 0.534821i \(0.179621\pi\)
\(360\) 17.0897 3.21670i 0.900707 0.169535i
\(361\) 14.1284 + 24.4711i 0.743601 + 1.28795i
\(362\) 2.58482 0.692602i 0.135855 0.0364023i
\(363\) 0.152726 + 17.6046i 0.00801603 + 0.924001i
\(364\) 2.46387 + 2.17344i 0.129142 + 0.113919i
\(365\) −4.57021 1.69369i −0.239216 0.0886517i
\(366\) 0.747066 + 2.69437i 0.0390497 + 0.140837i
\(367\) −15.4881 4.15004i −0.808475 0.216630i −0.169173 0.985586i \(-0.554110\pi\)
−0.639301 + 0.768956i \(0.720776\pi\)
\(368\) 8.47576 + 2.27107i 0.441830 + 0.118388i
\(369\) 2.42126 + 1.34245i 0.126046 + 0.0698852i
\(370\) 2.46454 1.13177i 0.128125 0.0588379i
\(371\) −21.8833 19.3038i −1.13612 1.00220i
\(372\) −2.28823 + 0.0198512i −0.118639 + 0.00102924i
\(373\) −27.1057 + 7.26294i −1.40348 + 0.376061i −0.879592 0.475728i \(-0.842185\pi\)
−0.523885 + 0.851789i \(0.675518\pi\)
\(374\) −0.831378 1.43999i −0.0429895 0.0744600i
\(375\) −4.84660 18.7486i −0.250277 0.968174i
\(376\) 13.5853 23.5304i 0.700606 1.21349i
\(377\) −8.38493 8.38493i −0.431846 0.431846i
\(378\) −3.58203 + 20.4709i −0.184240 + 1.05291i
\(379\) 18.6208i 0.956485i −0.878228 0.478243i \(-0.841274\pi\)
0.878228 0.478243i \(-0.158726\pi\)
\(380\) 0.407449 4.36371i 0.0209017 0.223853i
\(381\) −2.71683 + 10.5030i −0.139187 + 0.538083i
\(382\) −13.4029 3.59129i −0.685750 0.183746i
\(383\) −4.19755 15.6655i −0.214485 0.800469i −0.986347 0.164679i \(-0.947341\pi\)
0.771862 0.635790i \(-0.219326\pi\)
\(384\) 16.2013 + 15.9226i 0.826768 + 0.812546i
\(385\) 0.165222 5.40545i 0.00842050 0.275487i
\(386\) 10.7238i 0.545828i
\(387\) −19.6128 + 5.62169i −0.996974 + 0.285767i
\(388\) −0.165729 + 0.618510i −0.00841362 + 0.0314001i
\(389\) −16.7445 29.0023i −0.848980 1.47048i −0.882120 0.471025i \(-0.843884\pi\)
0.0331402 0.999451i \(-0.489449\pi\)
\(390\) 2.15028 25.4085i 0.108884 1.28661i
\(391\) −2.35215 −0.118953
\(392\) 17.9769 + 2.47300i 0.907973 + 0.124906i
\(393\) −14.7447 + 0.127915i −0.743769 + 0.00645246i
\(394\) −23.2420 13.4188i −1.17092 0.676029i
\(395\) 3.91993 5.52927i 0.197233 0.278208i
\(396\) 0.402633 + 0.670251i 0.0202331 + 0.0336814i
\(397\) 2.75129 + 10.2680i 0.138084 + 0.515335i 0.999966 + 0.00822688i \(0.00261873\pi\)
−0.861883 + 0.507108i \(0.830715\pi\)
\(398\) −18.4028 + 18.4028i −0.922449 + 0.922449i
\(399\) −28.3335 13.7698i −1.41845 0.689353i
\(400\) 14.6269 17.0241i 0.731344 0.851204i
\(401\) −33.3226 19.2388i −1.66405 0.960741i −0.970749 0.240096i \(-0.922821\pi\)
−0.693304 0.720646i \(-0.743845\pi\)
\(402\) −15.9631 + 9.40187i −0.796166 + 0.468922i
\(403\) 5.22346 19.4942i 0.260199 0.971076i
\(404\) −0.662233 + 1.14702i −0.0329473 + 0.0570664i
\(405\) 17.9860 9.02788i 0.893733 0.448599i
\(406\) 10.6736 + 2.15535i 0.529721 + 0.106968i
\(407\) −0.518601 0.518601i −0.0257061 0.0257061i
\(408\) −4.70226 2.66073i −0.232797 0.131726i
\(409\) −0.838832 + 0.484300i −0.0414776 + 0.0239471i −0.520595 0.853804i \(-0.674290\pi\)
0.479118 + 0.877751i \(0.340957\pi\)
\(410\) 3.07507 0.523733i 0.151867 0.0258653i
\(411\) 4.78175 + 17.2459i 0.235866 + 0.850676i
\(412\) 2.12308 2.12308i 0.104597 0.104597i
\(413\) 1.63396 + 26.0901i 0.0804021 + 1.28381i
\(414\) 8.86342 0.153798i 0.435613 0.00755876i
\(415\) 4.80609 + 5.79603i 0.235921 + 0.284516i
\(416\) 6.03923 3.48675i 0.296098 0.170952i
\(417\) 2.66820 + 4.53023i 0.130662 + 0.221846i
\(418\) −9.17553 + 2.45857i −0.448790 + 0.120253i
\(419\) −24.3482 −1.18949 −0.594743 0.803916i \(-0.702746\pi\)
−0.594743 + 0.803916i \(0.702746\pi\)
\(420\) 1.40508 + 2.56152i 0.0685610 + 0.124989i
\(421\) 1.75923 0.0857395 0.0428698 0.999081i \(-0.486350\pi\)
0.0428698 + 0.999081i \(0.486350\pi\)
\(422\) 14.2415 3.81600i 0.693265 0.185760i
\(423\) 7.61000 30.5087i 0.370011 1.48338i
\(424\) −24.7609 + 14.2957i −1.20249 + 0.694261i
\(425\) −2.60615 + 5.42275i −0.126417 + 0.263042i
\(426\) −1.04155 1.02364i −0.0504634 0.0495954i
\(427\) 2.35375 1.56286i 0.113906 0.0756322i
\(428\) −1.27559 + 1.27559i −0.0616581 + 0.0616581i
\(429\) −6.64518 + 1.84250i −0.320832 + 0.0889569i
\(430\) −13.2951 + 18.7535i −0.641146 + 0.904373i
\(431\) 18.5687 10.7206i 0.894422 0.516395i 0.0190357 0.999819i \(-0.493940\pi\)
0.875386 + 0.483424i \(0.160607\pi\)
\(432\) 20.4969 + 11.1330i 0.986157 + 0.535637i
\(433\) −26.8036 26.8036i −1.28810 1.28810i −0.935940 0.352161i \(-0.885447\pi\)
−0.352161 0.935940i \(-0.614553\pi\)
\(434\) 5.90612 + 17.5663i 0.283503 + 0.843209i
\(435\) −4.48347 9.54399i −0.214966 0.457599i
\(436\) −1.22872 + 2.12821i −0.0588452 + 0.101923i
\(437\) −3.47792 + 12.9798i −0.166371 + 0.620907i
\(438\) −2.89629 4.91750i −0.138390 0.234967i
\(439\) −2.05458 1.18621i −0.0980598 0.0566149i 0.450168 0.892944i \(-0.351364\pi\)
−0.548228 + 0.836329i \(0.684697\pi\)
\(440\) −4.96855 1.84131i −0.236866 0.0877810i
\(441\) 20.7873 2.98119i 0.989872 0.141961i
\(442\) −5.60198 + 5.60198i −0.266459 + 0.266459i
\(443\) −5.63107 21.0154i −0.267540 0.998473i −0.960677 0.277668i \(-0.910439\pi\)
0.693137 0.720806i \(-0.256228\pi\)
\(444\) 0.383590 + 0.0992242i 0.0182044 + 0.00470897i
\(445\) 20.6030 + 14.6063i 0.976677 + 0.692406i
\(446\) −16.9826 9.80492i −0.804150 0.464276i
\(447\) 0.193531 + 22.3082i 0.00915372 + 1.05514i
\(448\) 7.71870 15.5381i 0.364674 0.734104i
\(449\) 28.8886 1.36334 0.681669 0.731661i \(-0.261254\pi\)
0.681669 + 0.731661i \(0.261254\pi\)
\(450\) 9.46598 20.6045i 0.446231 0.971307i
\(451\) −0.421789 0.730561i −0.0198613 0.0344008i
\(452\) −0.776625 + 2.89840i −0.0365293 + 0.136329i
\(453\) −17.9369 10.1494i −0.842748 0.476861i
\(454\) 36.3425i 1.70564i
\(455\) −25.0811 + 5.90547i −1.17582 + 0.276853i
\(456\) −21.6355 + 22.0141i −1.01317 + 1.03091i
\(457\) −0.508794 1.89885i −0.0238004 0.0888242i 0.953004 0.302957i \(-0.0979740\pi\)
−0.976804 + 0.214133i \(0.931307\pi\)
\(458\) −4.75557 1.27425i −0.222213 0.0595419i
\(459\) −6.07954 1.46056i −0.283769 0.0681732i
\(460\) 0.959328 0.795478i 0.0447289 0.0370893i
\(461\) 17.4281i 0.811709i 0.913938 + 0.405854i \(0.133026\pi\)
−0.913938 + 0.405854i \(0.866974\pi\)
\(462\) 4.14766 4.78493i 0.192967 0.222615i
\(463\) 14.8405 + 14.8405i 0.689698 + 0.689698i 0.962165 0.272467i \(-0.0878395\pi\)
−0.272467 + 0.962165i \(0.587840\pi\)
\(464\) 6.11082 10.5843i 0.283688 0.491362i
\(465\) 10.2519 14.7300i 0.475420 0.683089i
\(466\) 12.6063 + 21.8348i 0.583977 + 1.01148i
\(467\) −12.1766 + 3.26272i −0.563468 + 0.150981i −0.529299 0.848435i \(-0.677545\pi\)
−0.0341687 + 0.999416i \(0.510878\pi\)
\(468\) 2.58816 2.67956i 0.119638 0.123863i
\(469\) 14.0389 + 12.3841i 0.648257 + 0.571845i
\(470\) −14.7849 32.1956i −0.681978 1.48507i
\(471\) 23.2210 6.43846i 1.06997 0.296669i
\(472\) 24.7405 + 6.62921i 1.13878 + 0.305134i
\(473\) 6.00493 + 1.60902i 0.276107 + 0.0739827i
\(474\) 7.64779 2.12050i 0.351275 0.0973976i
\(475\) 26.0707 + 22.3996i 1.19620 + 1.02776i
\(476\) 0.179669 0.889748i 0.00823512 0.0407815i
\(477\) −22.9872 + 23.7990i −1.05251 + 1.08968i
\(478\) 22.1687 5.94008i 1.01397 0.271693i
\(479\) −5.14393 8.90955i −0.235032 0.407088i 0.724250 0.689538i \(-0.242186\pi\)
−0.959282 + 0.282450i \(0.908853\pi\)
\(480\) 6.10380 1.09414i 0.278599 0.0499405i
\(481\) −1.74722 + 3.02627i −0.0796662 + 0.137986i
\(482\) 0.126948 + 0.126948i 0.00578232 + 0.00578232i
\(483\) −2.92829 8.46564i −0.133242 0.385200i
\(484\) 2.89804i 0.131729i
\(485\) −3.20548 3.86574i −0.145554 0.175534i
\(486\) 23.0046 + 5.10621i 1.04351 + 0.231622i
\(487\) −18.0099 4.82573i −0.816105 0.218675i −0.173462 0.984841i \(-0.555495\pi\)
−0.642643 + 0.766166i \(0.722162\pi\)
\(488\) −0.716491 2.67398i −0.0324340 0.121045i
\(489\) 29.2517 29.7637i 1.32281 1.34596i
\(490\) 16.1873 17.2576i 0.731269 0.779618i
\(491\) 24.6940i 1.11442i 0.830370 + 0.557212i \(0.188129\pi\)
−0.830370 + 0.557212i \(0.811871\pi\)
\(492\) 0.396637 + 0.224433i 0.0178818 + 0.0101182i
\(493\) −0.847921 + 3.16448i −0.0381884 + 0.142521i
\(494\) 22.6300 + 39.1964i 1.01817 + 1.76353i
\(495\) −6.11448 0.464073i −0.274826 0.0208585i
\(496\) 20.8007 0.933977
\(497\) −0.656522 + 1.32161i −0.0294490 + 0.0592821i
\(498\) 0.0764827 + 8.81609i 0.00342727 + 0.395058i
\(499\) 11.1524 + 6.43883i 0.499249 + 0.288242i 0.728403 0.685148i \(-0.240263\pi\)
−0.229154 + 0.973390i \(0.573596\pi\)
\(500\) −0.771007 3.09306i −0.0344805 0.138326i
\(501\) −11.8298 3.06005i −0.528517 0.136713i
\(502\) −6.58292 24.5678i −0.293810 1.09651i
\(503\) 2.81929 2.81929i 0.125706 0.125706i −0.641455 0.767161i \(-0.721669\pi\)
0.767161 + 0.641455i \(0.221669\pi\)
\(504\) 3.72221 20.2364i 0.165801 0.901402i
\(505\) −4.33485 9.43955i −0.192898 0.420055i
\(506\) −2.33925 1.35057i −0.103992 0.0600400i
\(507\) 5.24729 + 8.90919i 0.233041 + 0.395671i
\(508\) −0.462205 + 1.72497i −0.0205070 + 0.0765333i
\(509\) −20.2795 + 35.1250i −0.898871 + 1.55689i −0.0699315 + 0.997552i \(0.522278\pi\)
−0.828939 + 0.559338i \(0.811055\pi\)
\(510\) −6.37635 + 2.99541i −0.282349 + 0.132639i
\(511\) −3.81498 + 4.32475i −0.168765 + 0.191316i
\(512\) −11.3747 11.3747i −0.502695 0.502695i
\(513\) −17.0491 + 31.3889i −0.752735 + 1.38585i
\(514\) 18.2192 10.5189i 0.803616 0.463968i
\(515\) 3.95356 + 23.2131i 0.174215 + 1.02289i
\(516\) −3.23641 + 0.897357i −0.142475 + 0.0395040i
\(517\) −6.77477 + 6.77477i −0.297954 + 0.297954i
\(518\) −0.200571 3.20259i −0.00881258 0.140714i
\(519\) 29.7281 + 29.2167i 1.30492 + 1.28247i
\(520\) −2.34712 + 25.1372i −0.102928 + 1.10234i
\(521\) 13.7175 7.91980i 0.600974 0.346973i −0.168451 0.985710i \(-0.553876\pi\)
0.769425 + 0.638738i \(0.220543\pi\)
\(522\) 2.98824 11.9799i 0.130792 0.524347i
\(523\) −13.0100 + 3.48603i −0.568889 + 0.152433i −0.531787 0.846878i \(-0.678479\pi\)
−0.0371021 + 0.999311i \(0.511813\pi\)
\(524\) −2.42724 −0.106035
\(525\) −22.7616 2.62880i −0.993397 0.114730i
\(526\) −32.5151 −1.41772
\(527\) −5.38580 + 1.44312i −0.234609 + 0.0628633i
\(528\) −3.60692 6.12405i −0.156971 0.266515i
\(529\) 16.6095 9.58948i 0.722151 0.416934i
\(530\) −3.46593 + 37.1194i −0.150550 + 1.61236i
\(531\) 29.6369 0.514259i 1.28613 0.0223170i
\(532\) −4.64420 2.30706i −0.201352 0.100024i
\(533\) −2.84210 + 2.84210i −0.123105 + 0.123105i
\(534\) 7.90133 + 28.4970i 0.341924 + 1.23318i
\(535\) −2.37539 13.9470i −0.102697 0.602980i
\(536\) 15.8850 9.17122i 0.686128 0.396136i
\(537\) −7.71598 4.36602i −0.332969 0.188408i
\(538\) −20.1835 20.1835i −0.870171 0.870171i
\(539\) −5.89740 2.48301i −0.254019 0.106951i
\(540\) 2.97350 1.46036i 0.127959 0.0628439i
\(541\) 15.9766 27.6722i 0.686887 1.18972i −0.285953 0.958244i \(-0.592310\pi\)
0.972840 0.231479i \(-0.0743565\pi\)
\(542\) −1.45224 + 5.41983i −0.0623790 + 0.232801i
\(543\) −2.64197 + 1.55605i −0.113378 + 0.0667766i
\(544\) −1.66850 0.963310i −0.0715364 0.0413016i
\(545\) −8.04299 17.5144i −0.344524 0.750234i
\(546\) −27.1363 13.1880i −1.16133 0.564394i
\(547\) 24.7307 24.7307i 1.05741 1.05741i 0.0591593 0.998249i \(-0.481158\pi\)
0.998249 0.0591593i \(-0.0188420\pi\)
\(548\) 0.762477 + 2.84560i 0.0325714 + 0.121558i
\(549\) −1.64973 2.74625i −0.0704086 0.117207i
\(550\) −5.70552 + 3.89660i −0.243284 + 0.166152i
\(551\) 16.2087 + 9.35811i 0.690515 + 0.398669i
\(552\) −8.77655 + 0.0761397i −0.373555 + 0.00324072i
\(553\) −4.43608 6.68097i −0.188641 0.284104i
\(554\) 11.4306 0.485640
\(555\) −2.37470 + 2.00413i −0.100801 + 0.0850706i
\(556\) 0.432732 + 0.749514i 0.0183519 + 0.0317865i
\(557\) −1.00229 + 3.74061i −0.0424686 + 0.158495i −0.983904 0.178699i \(-0.942811\pi\)
0.941435 + 0.337194i \(0.109478\pi\)
\(558\) 20.2005 5.79016i 0.855157 0.245117i
\(559\) 29.6205i 1.25281i
\(560\) −12.5696 23.3939i −0.531163 0.988574i
\(561\) 1.35880 + 1.33542i 0.0573685 + 0.0563817i
\(562\) 4.71632 + 17.6016i 0.198946 + 0.742477i
\(563\) −35.3104 9.46140i −1.48816 0.398751i −0.579043 0.815297i \(-0.696574\pi\)
−0.909114 + 0.416547i \(0.863240\pi\)
\(564\) 1.29622 5.01105i 0.0545807 0.211003i
\(565\) −15.0212 18.1153i −0.631948 0.762115i
\(566\) 36.3002i 1.52581i
\(567\) −2.31196 23.6993i −0.0970934 0.995275i
\(568\) 1.02240 + 1.02240i 0.0428989 + 0.0428989i
\(569\) 8.11965 14.0636i 0.340393 0.589579i −0.644112 0.764931i \(-0.722773\pi\)
0.984506 + 0.175352i \(0.0561064\pi\)
\(570\) 7.10130 + 39.6154i 0.297441 + 1.65931i
\(571\) −20.1402 34.8839i −0.842843 1.45985i −0.887481 0.460844i \(-0.847547\pi\)
0.0446382 0.999003i \(-0.485786\pi\)
\(572\) −1.09647 + 0.293798i −0.0458457 + 0.0122843i
\(573\) 15.8980 0.137921i 0.664151 0.00576174i
\(574\) 0.730561 3.61784i 0.0304930 0.151006i
\(575\) 0.738139 + 9.74583i 0.0307825 + 0.406429i
\(576\) −17.2051 9.53925i −0.716879 0.397469i
\(577\) −16.6936 4.47305i −0.694965 0.186215i −0.105991 0.994367i \(-0.533801\pi\)
−0.588974 + 0.808152i \(0.700468\pi\)
\(578\) −22.7084 6.08469i −0.944544 0.253090i
\(579\) 3.28303 + 11.8406i 0.136438 + 0.492078i
\(580\) −0.724378 1.57740i −0.0300781 0.0654980i
\(581\) 8.44443 2.83918i 0.350334 0.117789i
\(582\) −0.0510111 5.88001i −0.00211448 0.243734i
\(583\) 9.73848 2.60942i 0.403327 0.108071i
\(584\) 2.82524 + 4.89345i 0.116909 + 0.202492i
\(585\) 5.40443 + 28.7128i 0.223446 + 1.18713i
\(586\) −13.0939 + 22.6793i −0.540905 + 0.936875i
\(587\) 0.596922 + 0.596922i 0.0246376 + 0.0246376i 0.719318 0.694681i \(-0.244454\pi\)
−0.694681 + 0.719318i \(0.744454\pi\)
\(588\) 3.42598 0.461037i 0.141285 0.0190128i
\(589\) 31.8541i 1.31253i
\(590\) 25.7089 21.3179i 1.05842 0.877645i
\(591\) 29.7705 + 7.70081i 1.22459 + 0.316769i
\(592\) −3.47885 0.932155i −0.142980 0.0383113i
\(593\) 2.42881 + 9.06443i 0.0997391 + 0.372232i 0.997695 0.0678534i \(-0.0216150\pi\)
−0.897956 + 0.440085i \(0.854948\pi\)
\(594\) −5.20757 4.94333i −0.213669 0.202827i
\(595\) 4.87762 + 5.18520i 0.199963 + 0.212572i
\(596\) 3.67234i 0.150425i
\(597\) 14.6853 25.9531i 0.601030 1.06219i
\(598\) −3.33097 + 12.4313i −0.136213 + 0.508355i
\(599\) 3.14342 + 5.44456i 0.128437 + 0.222459i 0.923071 0.384629i \(-0.125671\pi\)
−0.794634 + 0.607088i \(0.792337\pi\)
\(600\) −9.54878 + 20.3182i −0.389827 + 0.829488i
\(601\) 9.39584 0.383264 0.191632 0.981467i \(-0.438622\pi\)
0.191632 + 0.981467i \(0.438622\pi\)
\(602\) 15.0457 + 22.6597i 0.613217 + 0.923539i
\(603\) 14.7471 15.2679i 0.600549 0.621759i
\(604\) −2.93803 1.69627i −0.119547 0.0690203i
\(605\) −18.5415 13.1448i −0.753820 0.534414i
\(606\) 3.04592 11.7752i 0.123732 0.478335i
\(607\) 3.66495 + 13.6778i 0.148756 + 0.555164i 0.999559 + 0.0296803i \(0.00944893\pi\)
−0.850804 + 0.525484i \(0.823884\pi\)
\(608\) −7.78287 + 7.78287i −0.315637 + 0.315637i
\(609\) −12.4449 + 0.887845i −0.504295 + 0.0359773i
\(610\) −3.38470 1.25435i −0.137042 0.0507870i
\(611\) 39.5338 + 22.8248i 1.59937 + 0.923395i
\(612\) −0.998644 0.249099i −0.0403678 0.0100692i
\(613\) −1.12348 + 4.19289i −0.0453770 + 0.169349i −0.984896 0.173148i \(-0.944606\pi\)
0.939519 + 0.342497i \(0.111273\pi\)
\(614\) 13.3643 23.1476i 0.539339 0.934162i
\(615\) −3.23496 + 1.51968i −0.130446 + 0.0612796i
\(616\) −4.14749 + 4.70170i −0.167107 + 0.189437i
\(617\) 3.80377 + 3.80377i 0.153134 + 0.153134i 0.779516 0.626382i \(-0.215465\pi\)
−0.626382 + 0.779516i \(0.715465\pi\)
\(618\) −13.5785 + 23.9970i −0.546206 + 0.965301i
\(619\) −18.8856 + 10.9036i −0.759075 + 0.438252i −0.828964 0.559303i \(-0.811069\pi\)
0.0698884 + 0.997555i \(0.477736\pi\)
\(620\) 1.70856 2.41002i 0.0686173 0.0967886i
\(621\) −9.73934 + 2.88329i −0.390826 + 0.115702i
\(622\) −25.0547 + 25.0547i −1.00460 + 1.00460i
\(623\) 24.8944 16.5296i 0.997375 0.662243i
\(624\) −23.7366 + 24.1520i −0.950224 + 0.966855i
\(625\) 23.2863 + 9.09652i 0.931453 + 0.363861i
\(626\) −13.8771 + 8.01194i −0.554640 + 0.320221i
\(627\) 9.37837 5.52363i 0.374536 0.220592i
\(628\) 3.83151 1.02665i 0.152894 0.0409678i
\(629\) 0.965431 0.0384943
\(630\) −18.7190 19.2201i −0.745783 0.765746i
\(631\) 8.91815 0.355026 0.177513 0.984118i \(-0.443195\pi\)
0.177513 + 0.984118i \(0.443195\pi\)
\(632\) −7.58991 + 2.03371i −0.301911 + 0.0808967i
\(633\) −14.5563 + 8.57332i −0.578562 + 0.340759i
\(634\) −26.8933 + 15.5268i −1.06807 + 0.616650i
\(635\) −8.93984 10.7812i −0.354767 0.427841i
\(636\) −3.81782 + 3.88464i −0.151386 + 0.154036i
\(637\) −4.15494 + 30.2034i −0.164625 + 1.19670i
\(638\) −2.66027 + 2.66027i −0.105321 + 0.105321i
\(639\) 1.46340 + 0.811371i 0.0578911 + 0.0320973i
\(640\) −28.9097 + 4.92378i −1.14276 + 0.194630i
\(641\) −33.8421 + 19.5388i −1.33668 + 0.771735i −0.986314 0.164876i \(-0.947278\pi\)
−0.350370 + 0.936611i \(0.613944\pi\)
\(642\) 8.15826 14.4179i 0.321981 0.569031i
\(643\) 10.9666 + 10.9666i 0.432481 + 0.432481i 0.889471 0.456991i \(-0.151073\pi\)
−0.456991 + 0.889471i \(0.651073\pi\)
\(644\) −0.469926 1.39768i −0.0185177 0.0550762i
\(645\) 8.93837 24.7766i 0.351948 0.975578i
\(646\) 6.25216 10.8291i 0.245988 0.426064i
\(647\) 3.73697 13.9465i 0.146915 0.548295i −0.852747 0.522324i \(-0.825065\pi\)
0.999663 0.0259718i \(-0.00826801\pi\)
\(648\) −22.7318 5.25299i −0.892991 0.206357i
\(649\) −7.82182 4.51593i −0.307033 0.177266i
\(650\) 24.9691 + 21.4531i 0.979369 + 0.841461i
\(651\) −11.8990 17.5875i −0.466358 0.689308i
\(652\) 4.85751 4.85751i 0.190235 0.190235i
\(653\) 4.53005 + 16.9064i 0.177274 + 0.661597i 0.996153 + 0.0876304i \(0.0279295\pi\)
−0.818879 + 0.573967i \(0.805404\pi\)
\(654\) 5.65148 21.8480i 0.220990 0.854325i
\(655\) 11.0094 15.5294i 0.430173 0.606783i
\(656\) −3.58756 2.07128i −0.140071 0.0808699i
\(657\) 4.70336 + 4.54292i 0.183496 + 0.177236i
\(658\) −41.8372 + 2.62017i −1.63098 + 0.102145i
\(659\) 7.49888 0.292115 0.146057 0.989276i \(-0.453342\pi\)
0.146057 + 0.989276i \(0.453342\pi\)
\(660\) −1.00582 0.0851208i −0.0391514 0.00331332i
\(661\) 12.8552 + 22.2658i 0.500008 + 0.866038i 1.00000 8.71032e-6i \(2.77258e-6\pi\)
−0.499992 + 0.866030i \(0.666664\pi\)
\(662\) 12.4932 46.6252i 0.485561 1.81214i
\(663\) 4.47035 7.90037i 0.173614 0.306825i
\(664\) 8.72904i 0.338752i
\(665\) 35.8254 19.2491i 1.38925 0.746448i
\(666\) −3.63796 + 0.0631259i −0.140968 + 0.00244608i
\(667\) 1.37744 + 5.14068i 0.0533347 + 0.199048i
\(668\) −1.94289 0.520595i −0.0751726 0.0201424i
\(669\) 21.7528 + 5.62686i 0.841014 + 0.217547i
\(670\) 2.22352 23.8135i 0.0859020 0.919994i
\(671\) 0.976172i 0.0376847i
\(672\) 1.38987 7.20439i 0.0536153 0.277915i
\(673\) 9.04384 + 9.04384i 0.348614 + 0.348614i 0.859593 0.510979i \(-0.170717\pi\)
−0.510979 + 0.859593i \(0.670717\pi\)
\(674\) −10.0494 + 17.4061i −0.387090 + 0.670459i
\(675\) −4.14381 + 25.6482i −0.159495 + 0.987199i
\(676\) 0.851014 + 1.47400i 0.0327313 + 0.0566923i
\(677\) 32.9885 8.83924i 1.26785 0.339719i 0.438643 0.898661i \(-0.355459\pi\)
0.829207 + 0.558942i \(0.188792\pi\)
\(678\) −0.239044 27.5544i −0.00918042 1.05822i
\(679\) −5.63213 + 1.89363i −0.216141 + 0.0726708i
\(680\) 6.33864 2.91084i 0.243076 0.111626i
\(681\) −11.1260 40.1271i −0.426349 1.53767i
\(682\) −6.18489 1.65724i −0.236832 0.0634588i
\(683\) 23.0820 + 6.18479i 0.883206 + 0.236654i 0.671790 0.740742i \(-0.265526\pi\)
0.211416 + 0.977396i \(0.432192\pi\)
\(684\) −2.85121 + 5.14246i −0.109019 + 0.196627i
\(685\) −21.6644 8.02870i −0.827756 0.306761i
\(686\) −12.1633 25.2161i −0.464396 0.962754i
\(687\) 5.64091 0.0489368i 0.215214 0.00186706i
\(688\) 29.4884 7.90140i 1.12424 0.301238i
\(689\) −24.0185 41.6012i −0.915031 1.58488i
\(690\) −6.53756 + 9.39326i −0.248881 + 0.357595i
\(691\) −10.0976 + 17.4895i −0.384129 + 0.665332i −0.991648 0.128974i \(-0.958832\pi\)
0.607519 + 0.794305i \(0.292165\pi\)
\(692\) 4.85170 + 4.85170i 0.184434 + 0.184434i
\(693\) −3.11471 + 6.55299i −0.118318 + 0.248928i
\(694\) 24.3128i 0.922899i
\(695\) −6.75813 0.631022i −0.256350 0.0239360i
\(696\) −3.06141 + 11.8351i −0.116042 + 0.448607i
\(697\) 1.07261 + 0.287405i 0.0406281 + 0.0108863i
\(698\) −3.60343 13.4482i −0.136392 0.509021i
\(699\) −20.6037 20.2493i −0.779304 0.765899i
\(700\) −3.74294 0.465221i −0.141470 0.0175837i
\(701\) 49.4540i 1.86785i 0.357467 + 0.933926i \(0.383640\pi\)
−0.357467 + 0.933926i \(0.616360\pi\)
\(702\) −16.3287 + 30.0626i −0.616287 + 1.13464i
\(703\) 1.42750 5.32750i 0.0538392 0.200931i
\(704\) 2.99717 + 5.19126i 0.112960 + 0.195653i
\(705\) 26.1811 + 31.0221i 0.986036 + 1.16836i
\(706\) −15.7936 −0.594398
\(707\) −12.2664 + 0.768217i −0.461325 + 0.0288918i
\(708\) 4.87915 0.0423283i 0.183370 0.00159080i
\(709\) −33.9663 19.6105i −1.27563 0.736486i −0.299589 0.954068i \(-0.596850\pi\)
−0.976042 + 0.217582i \(0.930183\pi\)
\(710\) 1.85856 0.316542i 0.0697505 0.0118796i
\(711\) −7.79503 + 4.68264i −0.292337 + 0.175613i
\(712\) −7.57795 28.2813i −0.283996 1.05989i
\(713\) −6.40485 + 6.40485i −0.239864 + 0.239864i
\(714\) 0.593170 + 8.31448i 0.0221988 + 0.311162i
\(715\) 3.09362 8.34775i 0.115695 0.312188i
\(716\) −1.26386 0.729692i −0.0472328 0.0272699i
\(717\) −22.6587 + 13.3454i −0.846206 + 0.498395i
\(718\) 0.603211 2.25121i 0.0225116 0.0840145i
\(719\) −0.965960 + 1.67309i −0.0360242 + 0.0623958i −0.883475 0.468478i \(-0.844803\pi\)
0.847451 + 0.530873i \(0.178136\pi\)
\(720\) −27.1431 + 13.0396i −1.01156 + 0.485957i
\(721\) 27.3104 + 5.51486i 1.01709 + 0.205384i
\(722\) −30.2039 30.2039i −1.12407 1.12407i
\(723\) −0.179032 0.101304i −0.00665828 0.00376753i
\(724\) −0.437106 + 0.252363i −0.0162449 + 0.00937901i
\(725\) 13.3777 + 2.52019i 0.496837 + 0.0935977i
\(726\) −7.11074 25.6456i −0.263904 0.951798i
\(727\) 15.8726 15.8726i 0.588684 0.588684i −0.348591 0.937275i \(-0.613340\pi\)
0.937275 + 0.348591i \(0.113340\pi\)
\(728\) 26.7530 + 13.2899i 0.991534 + 0.492555i
\(729\) −26.9634 + 1.40474i −0.998646 + 0.0520273i
\(730\) 7.33585 + 0.684965i 0.271512 + 0.0253517i
\(731\) −7.08709 + 4.09173i −0.262125 + 0.151338i
\(732\) −0.267633 0.454405i −0.00989201 0.0167953i
\(733\) 42.0106 11.2567i 1.55170 0.415776i 0.621673 0.783277i \(-0.286453\pi\)
0.930023 + 0.367502i \(0.119787\pi\)
\(734\) 24.2387 0.894668
\(735\) −12.5897 + 24.0104i −0.464380 + 0.885636i
\(736\) −3.12978 −0.115365
\(737\) −6.24759 + 1.67404i −0.230133 + 0.0616640i
\(738\) −4.06063 1.01287i −0.149474 0.0372844i
\(739\) 23.4387 13.5324i 0.862208 0.497796i −0.00254291 0.999997i \(-0.500809\pi\)
0.864751 + 0.502201i \(0.167476\pi\)
\(740\) −0.393753 + 0.326501i −0.0144746 + 0.0120024i
\(741\) −36.9864 36.3502i −1.35873 1.33536i
\(742\) 39.5054 + 19.6247i 1.45029 + 0.720447i
\(743\) −2.20467 + 2.20467i −0.0808816 + 0.0808816i −0.746390 0.665509i \(-0.768215\pi\)
0.665509 + 0.746390i \(0.268215\pi\)
\(744\) −20.0493 + 5.55905i −0.735043 + 0.203805i
\(745\) −23.4955 16.6569i −0.860807 0.610261i
\(746\) 36.7368 21.2100i 1.34503 0.776553i
\(747\) −2.78343 9.71076i −0.101840 0.355298i
\(748\) 0.221760 + 0.221760i 0.00810833 + 0.00810833i
\(749\) −16.4087 3.31346i −0.599561 0.121071i
\(750\) 14.4121 + 25.4796i 0.526256 + 0.930384i
\(751\) −11.9640 + 20.7223i −0.436574 + 0.756168i −0.997423 0.0717501i \(-0.977142\pi\)
0.560849 + 0.827918i \(0.310475\pi\)
\(752\) −12.1773 + 45.4461i −0.444059 + 1.65725i
\(753\) 14.7897 + 25.1109i 0.538967 + 0.915092i
\(754\) 15.5238 + 8.96270i 0.565345 + 0.326402i
\(755\) 24.1789 11.1035i 0.879959 0.404096i
\(756\) −0.346721 3.90435i −0.0126101 0.142000i
\(757\) 34.0440 34.0440i 1.23735 1.23735i 0.276268 0.961081i \(-0.410902\pi\)
0.961081 0.276268i \(-0.0890977\pi\)
\(758\) 7.28531 + 27.1892i 0.264615 + 0.987555i
\(759\) 2.99632 + 0.775066i 0.108759 + 0.0281331i
\(760\) −6.69039 39.2823i −0.242686 1.42492i
\(761\) −5.74841